NOTE: This really Big prime number may take a very long time to download!

==>> Try this link for a faster abbreviated download <<==

                                    316,470,269,330,255,923,143,453,723,949,
337,516,054,106,188,475,264,644,140,304,176,732,811,247,493,069,368,692,043,
185,121,611,837,856,726,816,539,985,465,097,356,123,432,645,179,673,853,590,
577,238,179,357,900,876,426,103,943,782,376,494,591,742,934,588,497,117,587,
146,916,972,984,761,159,060,873,250,939,462,085,575,740,754,577,098,620,558,
011,779,529,884,042,198,287,643,319,330,465,064,455,234,988,142,139,565,785,
447,474,023,546,353,758,537,324,801,838,120,387,600,868,416,525,400,790,381,
285,888,256,687,085,855,456,231,577,527,939,305,920,811,766,585,308,670,132,
129,155,221,804,381,548,625,787,943,020,694,528,015,999,221,718,191,557,761,
789,038,539,522,349,746,808,797,476,907,664,050,601,248,473,206,874,133,194,
663,585,334,983,805,734,803,620,705,778,270,910,561,716,767,680,954,814,415,
310,034,502,440,445,161,332,363,611,749,326,163,346,444,542,332,941,724,120,
365,148,892,204,420,675,302,563,534,393,044,688,859,445,173,161,934,549,310,
336,116,821,178,855,375,531,041,423,821,706,430,796,012,246,288,037,483,476,
218,396,982,916,073,816,451,058,991,831,512,686,327,488,459,585,043,246,778,
160,788,873,343,661,684,676,258,006,436,582,840,222,063,757,785,048,077,389,
404,912,747,062,648,672,186,003,349,751,782,781,879,120,470,020,388,873,779,
589,349,589,877,119,954,283,343,288,199,886,936,593,732,250,320,339,998,610,
072,339,381,292,833,594,919,318,294,607,585,610,592,445,446,058,872,982,335,
095,667,132,127,175,014,425,218,125,214,413,231,078,371,985,641,017,807,775,
785,493,244,577,889,145,039,577,777,188,174,108,486,988,317,893,130,592,966,
383,813,432,499,006,567,940,128,890,939,479,244,323,108,485,896,276,588,430,
953,410,742,355,843,709,083,268,647,257,603,685,755,576,432,496,460,615,685,
892,047,540,436,050,783,692,197,618,658,469,334,121,647,320,471,115,721,375,
248,270,317,298,667,413,885,986,449,190,158,090,512,335,150,379,099,138,100,
399,341,203,804,418,312,058,222,344,749,422,138,096,126,080,879,556,199,432,
215,607,580,443,235,372,610,748,457,708,282,406,189,424,477,174,777,113,454,
219,808,060,304,360,551,617,506,661,245,722,772,351,081,365,361,727,184,008,
626,088,629,774,354,996,912,827,427,281,440,499,049,041,576,203,884,943,192,
684,055,274,941,226,777,713,166,180,704,666,821,661,836,801,599,842,400,753,
555,093,087,939,266,058,092,079,721,697,481,135,174,876,099,183,086,089,790,
629,407,423,499,734,806,185,565,774,380,559,034,010,741,081,512,897,186,784,
805,572,791,197,369,300,268,870,813,900,049,338,389,921,638,224,295,056,714,
454,461,080,883,077,807,756,965,827,409,720,772,505,579,006,260,134,743,029,
388,552,109,572,978,472,439,362,850,714,479,000,235,563,466,922,422,958,721,
089,708,044,663,530,770,968,705,926,840,629,602,574,038,878,388,019,643,087,
612,154,542,045,854,056,540,307,708,459,709,457,315,384,451,564,164,605,205,
270,347,685,697,223,630,493,582,980,421,459,157,794,627,274,676,372,969,627,
024,586,966,924,583,596,405,274,772,819,815,023,538,365,497,746,159,407,402,
985,071,118,486,658,167,977,572,127,791,170,262,993,219,890,667,610,079,861,
523,980,477,699,432,277,250,429,236,731,648,600,517,593,596,727,079,745,602,
454,212,291,388,785,176,078,858,827,536,463,762,779,568,183,706,158,015,662,
514,847,337,685,511,498,075,355,876,317,986,401,027,049,498,458,565,149,532,
973,850,630,135,737,935,365,629,302,924,513,786,786,790,048,323,898,387,186,
548,565,789,758,323,840,386,330,350,805,678,311,661,668,819,487,046,836,628,
773,473,937,016,550,119,694,407,061,934,853,709,391,595,540,848,339,141,339,
562,398,906,165,273,984,800,788,818,476,319,559,628,933,135,045,358,340,071,
467,340,560,718,311,395,257,226,930,060,643,910,945,656,036,369,014,077,650,
204,164,190,957,719,318,064,249,345,069,695,340,774,396,275,899,114,532,813,
398,922,449,231,049,778,114,423,636,491,611,546,062,143,098,016,974,892,361,
181,519,602,676,387,589,608,583,130,651,079,418,394,594,608,733,721,969,897,
698,445,638,959,666,319,946,906,799,294,895,905,987,977,542,184,749,636,726,
284,838,213,133,381,329,103,265,901,431,056,460,552,198,636,544,027,401,553,
454,807,878,800,184,142,237,016,521,674,068,629,539,425,061,540,842,782,875,
150,560,689,263,853,914,174,686,005,311,659,555,581,738,240,293,348,748,829,
414,334,701,340,216,928,868,296,932,137,866,487,261,771,102,392,804,462,382,
692,100,774,795,886,869,450,386,073,087,851,339,233,549,037,171,533,701,237,
373,882,887,159,380,967,424,233,478,206,989,310,941,862,528,620,421,638,791,
713,282,931,819,742,730,065,554,410,314,350,117,030,699,030,522,564,018,656,
627,054,502,915,254,780,314,454,267,975,468,798,809,977,757,547,241,474,383,
421,019,867,049,961,270,716,059,244,572,562,530,354,419,900,315,399,436,810,
880,748,386,242,324,583,549,942,018,952,773,890,856,528,889,742,800,814,877,
326,003,139,319,174,681,643,831,080,069,674,091,291,180,341,912,865,009,046,
249,563,081,023,044,908,135,836,894,993,710,934,144,992,208,123,218,583,651,
935,333,097,545,205,397,938,966,626,601,840,984,643,405,793,569,475,726,329,
388,572,530,949,795,473,282,034,084,336,320,535,224,014,209,910,154,531,543,
510,407,722,485,318,796,254,833,215,258,800,135,568,197,168,835,686,043,257,
428,923,676,485,513,978,661,701,358,661,225,518,383,667,509,931,816,143,721,
420,140,019,780,325,759,638,787,261,319,053,516,782,352,406,799,937,669,969,
308,868,187,771,369,216,965,546,804,223,512,628,737,189,776,951,456,861,268,
961,557,332,618,525,455,351,762,820,170,277,189,251,011,362,539,471,331,748,
593,872,345,939,391,476,553,901,819,167,118,693,498,698,232,468,240,016,493,
202,969,358,812,503,940,510,069,399,808,441,932,041,489,775,832,702,410,242,
760,947,747,486,343,867,078,642,882,750,672,055,023,495,156,544,613,386,480,
271,885,888,119,871,160,456,182,534,424,683,318,239,697,546,891,782,299,368,
264,622,034,415,206,736,347,722,568,305,912,824,554,461,251,346,750,667,874,
949,793,857,027,235,073,405,658,177,480,278,350,048,463,723,946,363,968,966,
658,967,300,803,952,364,477,641,969,627,768,166,678,517,717,808,017,203,461,
040,592,577,891,255,414,210,468,155,691,632,530,732,864,273,914,073,451,144,
834,517,823,186,322,048,335,439,876,994,121,888,667,252,572,355,835,300,863,
681,487,974,698,745,051,807,413,744,331,978,829,252,951,539,610,434,435,713,
708,005,248,684,561,756,371,575,564,097,574,057,659,976,672,637,737,524,952,
556,848,374,707,224,818,986,398,833,311,996,461,608,803,109,961,417,168,380,
806,429,106,880,561,306,290,491,926,936,466,654,852,582,162,435,191,131,557,
804,645,330,465,872,675,705,723,681,938,416,419,944,079,307,929,394,539,417,
506,853,388,733,302,782,844,918,669,844,938,747,311,800,823,974,424,553,160,
787,464,614,146,073,280,139,820,568,333,102,798,496,426,105,845,088,551,311,
317,841,700,799,436,924,909,768,904,751,441,310,197,440,348,317,995,427,105,
956,855,168,650,664,332,792,080,613,584,925,093,232,358,138,912,294,793,460,
647,449,153,490,340,464,132,609,564,300,008,281,047,569,396,447,857,558,686,
859,078,214,823,813,153,671,528,896,733,462,446,679,789,998,917,532,271,775,
670,745,689,396,960,130,533,072,550,618,451,953,523,492,390,888,579,194,517,
951,830,090,145,084,223,692,498,389,800,324,097,061,821,106,193,758,416,618,
931,759,430,801,641,649,851,245,873,233,726,093,821,802,460,726,241,352,305,
468,848,896,576,839,483,751,221,370,699,265,517,538,559,999,767,166,289,427,
485,008,562,568,479,863,592,917,414,997,895,644,535,494,509,633,740,559,604,
514,556,961,797,150,444,978,083,180,005,089,474,619,059,422,247,004,941,170,
712,831,294,219,520,046,222,437,125,372,470,890,435,784,284,713,194,586,870,
442,901,608,120,859,893,308,413,181,708,666,380,691,476,932,767,117,820,472,
789,554,445,537,303,971,151,791,328,056,904,363,053,718,129,221,799,970,986,
236,159,148,118,806,425,086,933,824,676,996,883,195,144,005,755,712,442,843,
750,281,223,635,425,826,550,593,161,160,271,359,220,430,152,640,410,166,539,
179,612,474,745,291,007,979,443,218,828,405,676,924,983,126,953,608,284,356,
053,551,579,748,759,423,671,793,735,647,640,560,181,100,213,189,638,547,181,
367,573,639,226,901,984,994,195,564,762,832,556,288,051,825,643,822,877,081,
820,763,324,198,586,233,972,923,972,600,755,344,268,524,975,451,922,161,234,
307,929,787,937,434,968,350,012,724,224,969,172,943,537,376,211,740,136,179,
361,369,152,063,745,665,743,020,882,238,145,466,386,696,625,654,546,851,280,
532,136,238,224,661,496,464,745,778,529,871,197,908,281,641,456,679,709,273,
218,819,515,944,633,019,333,340,213,482,948,576,827,384,600,526,277,361,447,
580,922,684,619,069,612,581,638,431,598,276,342,390,170,816,023,510,058,999,
373,461,323,266,084,629,363,678,380,378,305,978,584,816,889,196,628,182,881,
429,623,277,443,912,308,562,397,150,875,907,722,422,147,623,266,973,277,571,
317,609,958,135,196,552,725,410,909,963,624,231,126,909,417,797,354,335,208,
439,265,096,960,655,707,701,544,896,094,224,902,355,664,096,363,537,870,335,
652,641,662,992,619,158,219,776,529,976,638,866,736,839,451,823,549,251,520,
385,930,936,447,556,490,245,479,889,632,823,904,183,107,383,426,184,779,052,
893,098,820,999,148,547,729,750,774,015,828,019,638,610,395,081,886,458,757,
546,906,763,604,226,416,322,779,171,081,719,063,228,068,938,137,096,191,206,
027,632,119,640,209,770,570,983,680,817,866,233,848,274,838,623,557,322,075,
174,818,568,700,287,891,520,502,812,385,713,768,109,811,418,574,868,413,781,
046,537,090,482,699,655,760,618,073,052,424,307,914,323,931,255,845,733,214,
633,857,792,259,301,729,283,735,973,496,465,265,579,715,750,748,287,415,677,
735,801,655,461,231,571,443,163,811,844,522,476,020,500,280,357,863,867,048,
153,284,506,561,106,246,953,344,910,204,483,389,280,896,270,226,220,580,460,
104,875,535,879,327,961,492,667,317,649,687,463,693,540,342,707,429,461,231,
047,513,016,172,966,114,236,182,750,806,908,745,519,904,487,135,606,094,996,
667,376,493,023,526,543,697,715,034,011,174,483,276,795,211,957,284,448,892,
481,829,679,271,706,298,631,851,105,734,876,556,802,881,561,969,900,915,064,
026,807,349,779,245,430,713,500,979,860,776,493,474,487,253,359,481,478,870,
780,159,047,234,452,337,836,494,708,776,540,931,560,648,396,410,635,793,546,
766,151,997,623,769,736,555,588,322,027,742,100,724,147,494,335,985,197,039,
837,312,748,555,036,517,521,898,145,923,661,371,876,394,735,301,143,967,418,
447,277,204,739,963,787,042,020,139,135,453,499,245,722,397,270,975,610,438,
469,628,591,408,777,668,932,247,617,117,746,772,010,990,660,973,684,657,007,
249,352,055,978,451,854,415,492,718,685,744,259,103,832,900,721,747,022,825,
208,720,509,376,302,526,628,291,769,852,211,599,962,194,665,671,823,424,143,
970,249,663,126,090,622,826,316,125,424,642,013,755,266,132,112,005,964,608,
034,724,185,798,891,125,266,855,818,211,854,921,081,057,182,154,594,282,830,
174,484,479,715,801,498,246,877,871,972,789,513,446,598,429,637,711,858,476,
268,382,319,545,020,338,904,192,969,302,242,944,374,655,593,348,745,894,086,
168,526,490,974,068,484,158,581,384,884,034,735,179,424,562,047,987,291,988,
465,528,018,394,735,122,634,570,395,618,153,535,006,126,081,228,004,628,514,
014,210,170,198,173,449,381,472,252,608,359,259,458,469,318,082,473,704,049,
579,128,743,564,135,206,205,190,443,654,812,133,104,717,553,426,324,130,755,
324,606,124,263,614,622,857,590,946,414,372,436,832,568,629,505,309,380,081,
890,816,446,559,691,450,179,252,037,847,008,267,740,819,804,950,354,476,404,
306,983,329,614,701,979,756,926,518,932,061,068,604,231,191,153,267,405,694,
687,906,308,156,377,956,955,414,200,341,345,192,414,859,392,009,089,385,305,
701,474,507,591,904,145,206,341,103,798,752,795,066,270,896,121,423,121,854,
080,975,318,245,485,708,795,802,720,033,936,964,936,156,510,410,108,979,105,
980,419,995,789,710,869,941,113,887,503,874,590,398,731,040,104,419,647,968,
115,894,569,605,875,846,554,827,103,329,999,540,042,769,105,141,146,596,119,
399,992,775,797,361,534,416,196,391,169,567,829,810,064,363,951,244,415,072,
871,694,056,402,257,803,932,022,903,061,227,930,792,210,502,788,618,390,315,
462,254,763,801,214,321,963,202,597,960,250,207,671,545,047,489,967,868,711,
631,695,560,039,482,654,538,160,557,143,791,947,413,682,477,684,001,225,550,
253,565,784,220,964,046,107,485,666,562,168,488,210,154,741,885,206,231,935,
830,865,218,140,961,987,477,541,987,927,184,445,294,457,607,298,969,518,857,
865,586,445,258,230,886,452,056,901,546,210,900,055,601,326,884,291,748,174,
458,275,721,377,054,718,017,386,748,281,867,635,698,771,731,485,556,517,616,
880,370,384,256,436,790,020,179,611,823,494,521,492,046,745,630,913,884,593,
260,390,687,454,030,564,706,654,778,160,451,627,847,256,072,584,654,371,720,
810,246,078,560,398,908,356,750,147,939,313,389,079,070,448,229,197,572,852,
147,755,938,132,166,184,555,005,503,301,116,823,893,241,359,052,698,973,012,
601,753,106,578,618,569,751,071,439,059,478,664,923,561,852,014,832,395,722,
409,748,583,726,401,003,310,141,367,297,386,899,588,723,490,399,613,166,504,
465,372,299,733,188,563,693,283,690,972,207,436,875,042,549,680,950,544,101,
355,270,994,625,674,386,855,766,358,286,668,514,012,111,429,678,884,878,689,
655,293,860,849,484,634,142,854,219,298,507,037,576,464,289,273,182,031,288,
730,939,533,532,412,494,350,963,806,034,772,258,085,729,827,222,005,233,846,
896,071,506,538,302,664,926,880,135,545,109,219,440,761,961,097,563,759,627,
248,101,259,249,470,666,412,412,553,338,184,764,422,980,062,901,980,325,156,
392,186,401,618,980,923,354,071,739,731,681,098,323,856,420,815,385,529,562,
986,958,784,846,778,162,455,111,741,909,582,675,265,310,161,452,295,797,732,
075,306,580,184,614,742,700,957,986,498,066,019,726,254,123,857,229,261,616,
246,265,217,208,273,731,326,388,520,265,270,424,948,441,262,706,563,427,152,
128,250,083,513,590,422,515,802,480,149,875,054,675,983,923,219,079,037,700,
197,152,665,185,054,114,753,048,381,606,804,543,073,975,854,073,356,736,361,
667,542,458,899,442,637,074,644,318,744,776,704,401,644,732,837,370,948,769,
560,538,758,675,494,803,658,906,371,662,079,194,152,543,865,814,666,169,216,
624,775,805,212,263,807,000,728,085,205,803,920,270,322,205,234,247,107,854,
957,794,666,560,365,940,096,985,523,724,543,178,371,246,903,731,144,911,672,
634,102,438,247,936,099,464,817,769,793,389,590,484,896,293,566,186,702,864,
881,610,593,668,580,711,295,463,536,320,279,014,618,378,340,829,158,303,076,
114,763,543,419,002,212,859,018,476,720,205,022,132,968,972,504,607,075,085,
517,476,680,271,922,820,034,757,119,994,427,803,741,293,905,122,479,464,076,
169,081,940,909,025,819,593,406,285,662,521,207,040,493,961,589,329,906,300,
270,870,706,020,575,289,726,326,284,411,391,096,242,413,596,525,306,340,979,
512,132,383,938,450,717,835,899,846,922,430,293,587,590,990,608,416,908,875,
160,343,754,662,325,838,039,983,682,788,019,501,123,998,904,626,817,757,097,
818,498,185,686,913,139,307,671,153,496,358,358,902,788,767,781,425,544,547,
865,312,038,879,546,151,019,859,849,163,804,921,953,211,538,687,652,603,813,
140,857,941,265,031,951,412,845,352,808,486,370,272,960,067,485,273,106,108,
265,393,478,754,147,727,930,166,221,463,387,820,222,595,506,041,773,775,437,
961,995,408,661,683,037,405,000,759,105,848,859,052,812,713,204,177,846,272,
581,434,852,638,223,276,914,020,080,779,934,461,260,116,931,941,959,945,697,
989,730,806,272,435,041,113,158,535,657,228,287,697,624,332,031,589,800,958,
714,574,707,056,838,276,084,982,325,716,161,516,751,472,688,371,555,572,686,
252,641,487,109,249,653,294,409,306,008,825,816,628,955,067,311,896,579,144,
937,702,409,182,440,765,160,734,772,085,302,673,932,367,083,297,762,624,803,
633,400,750,444,155,599,569,636,353,225,033,901,783,017,124,218,300,202,493,
012,373,831,956,393,511,026,201,872,616,954,184,492,315,803,505,875,752,706,
467,194,660,567,075,015,898,780,059,597,829,236,064,938,959,288,982,424,033,
229,325,332,845,552,149,909,646,683,075,680,933,291,655,547,059,860,845,879,
482,224,145,184,864,370,662,758,151,717,248,636,197,199,585,530,247,118,205,
764,996,555,755,541,631,025,392,277,658,835,933,965,717,539,161,340,274,606,
644,939,248,497,917,136,093,132,798,377,664,257,144,095,297,356,272,770,871,
406,055,593,949,854,494,923,164,256,074,789,482,411,251,029,825,021,518,519,
504,237,749,083,766,252,038,597,246,864,099,132,298,307,696,373,256,326,897,
813,027,456,314,404,371,468,228,747,616,505,586,171,664,386,632,493,488,537,
795,712,537,415,088,082,549,571,091,466,332,433,976,046,758,792,238,752,681,
943,918,207,270,825,227,046,566,903,638,503,920,116,488,716,937,993,980,670,
169,882,701,493,145,960,516,802,311,748,524,764,597,710,979,764,030,182,513,
829,357,953,376,141,475,819,539,839,113,598,993,366,806,115,054,735,544,174,
235,426,056,901,811,918,928,076,553,640,399,469,398,000,599,514,000,748,047,
176,802,350,278,858,754,863,726,717,215,180,236,177,323,650,514,781,729,471,
790,932,821,787,753,674,559,730,152,441,333,546,098,622,961,901,213,743,070,
447,954,514,749,859,736,322,934,792,461,577,543,355,558,615,343,541,124,423,
443,766,529,093,175,553,013,702,209,096,974,174,451,598,740,682,958,487,340,
615,634,909,272,653,875,835,300,740,268,285,745,049,200,813,998,402,389,293,
819,925,337,347,772,966,956,316,134,533,687,823,163,275,732,444,597,596,694,
643,632,207,889,207,784,896,075,561,473,280,165,611,786,862,658,596,776,573,
472,745,512,755,572,515,617,852,528,232,428,696,267,567,849,657,467,131,183,
723,829,830,836,350,952,072,200,199,209,330,355,285,885,162,840,163,786,164,
958,978,820,393,636,676,128,234,053,473,369,955,557,533,754,407,565,064,322,
870,186,646,476,171,930,513,289,990,577,752,058,115,068,399,079,500,558,083,
202,256,337,357,967,233,988,943,572,765,982,286,710,033,121,723,175,697,516,
648,429,864,679,501,300,894,688,114,589,045,963,532,162,415,255,034,936,035,
517,363,472,095,726,051,219,728,688,081,107,374,868,693,156,278,892,138,765,
504,342,569,538,470,557,236,669,240,728,189,648,721,291,124,588,691,213,917,
666,421,878,612,704,579,131,336,340,702,480,338,073,244,782,040,285,970,195,
647,799,469,205,599,068,935,312,703,375,005,039,330,651,067,694,020,241,407,
792,417,549,249,301,117,219,062,531,574,290,008,044,999,767,161,888,305,947,
413,146,660,514,989,175,356,309,270,300,662,465,914,026,262,356,051,795,724,
232,531,461,929,760,825,813,878,285,147,994,363,804,085,668,412,417,073,599,
101,211,640,171,598,315,129,776,835,029,181,561,646,618,924,090,952,504,661,
265,425,770,030,316,116,766,655,114,225,363,084,834,501,147,692,453,463,236,
916,796,511,434,049,604,594,455,184,868,790,291,715,338,571,044,948,757,841,
222,542,053,865,330,929,291,948,346,164,906,172,510,343,743,816,852,891,539,
591,100,714,280,984,472,729,609,302,909,161,421,726,998,622,481,765,258,662,
020,210,033,671,151,305,907,867,622,819,832,014,215,138,638,490,965,582,368,
455,665,243,000,138,539,167,969,715,191,959,364,818,545,069,668,155,717,892,
995,960,805,266,925,335,111,299,145,861,854,506,889,077,886,971,983,981,726,
370,881,312,344,436,635,067,422,923,465,873,555,817,838,098,718,009,623,067,
842,656,350,195,996,880,431,438,266,426,042,641,356,177,893,378,912,227,842,
292,347,057,721,235,726,615,499,883,048,819,033,722,655,007,263,808,719,002,
192,378,855,566,980,572,165,772,602,334,307,828,233,326,559,141,757,857,224,
765,644,891,776,922,441,478,238,674,925,271,750,505,922,910,753,824,192,622,
676,936,987,487,094,825,118,124,232,715,510,992,732,848,550,376,659,037,657,
570,089,369,415,112,642,229,482,403,003,952,646,810,841,541,006,933,945,789,
670,460,585,992,240,522,277,448,358,068,241,174,874,382,907,865,270,140,515,
817,396,264,427,887,023,159,425,195,344,722,994,154,242,645,113,741,142,277,
764,633,194,788,967,303,258,416,946,790,869,655,174,398,816,345,050,868,801,
456,366,901,681,832,404,480,716,827,255,443,986,327,837,271,770,565,454,519,
573,872,351,515,254,398,681,861,489,934,045,626,309,797,279,795,621,785,859,
778,024,100,724,478,663,622,290,598,750,425,221,817,982,057,062,861,757,375,
351,536,972,101,954,100,830,674,091,335,127,002,493,353,991,096,625,208,163,
885,642,141,654,694,202,653,548,697,279,999,610,203,166,904,915,236,547,040,
498,425,876,288,661,984,014,908,072,936,018,648,557,188,572,275,004,384,720,
691,421,860,671,058,995,888,252,096,233,947,491,382,085,870,501,149,471,339,
973,864,977,512,141,957,400,411,778,901,539,435,243,401,330,068,744,387,495,
313,181,468,236,536,661,028,240,189,815,273,080,785,785,972,537,702,976,339,
093,216,971,945,235,578,804,504,426,704,977,216,305,650,697,167,332,472,355,
520,185,311,305,163,532,150,262,383,831,382,363,905,719,346,949,393,882,854,
911,798,294,995,782,576,785,819,913,177,643,330,480,532,985,905,202,200,255,
849,054,481,082,725,606,419,591,829,522,551,535,731,684,630,188,405,961,091,
315,666,340,558,684,576,497,915,709,951,235,682,058,620,936,159,459,912,836,
520,606,239,153,542,316,118,626,677,590,817,033,902,446,237,255,707,604,658,
591,795,597,095,357,230,360,787,806,286,005,194,845,955,218,243,874,084,931,
873,754,711,582,945,386,854,612,190,208,175,840,304,679,540,092,233,805,861,
411,638,297,948,947,892,475,452,238,787,109,241,517,361,165,761,597,329,331,
428,438,653,277,267,904,526,223,138,111,786,069,797,077,523,368,247,018,437,
597,844,298,465,431,233,722,504,122,544,240,960,195,941,467,840,778,584,376,
233,914,450,312,988,532,409,915,007,747,633,590,736,396,117,554,426,451,463,
996,876,228,574,837,348,637,265,297,747,631,585,631,239,584,269,594,099,426,
345,452,510,032,553,916,609,763,143,192,260,157,153,282,878,393,650,324,885,
577,219,735,820,534,078,668,428,743,802,187,986,046,424,377,630,678,384,355,
258,386,428,473,987,336,620,092,659,036,250,382,286,997,186,619,411,518,462,
881,994,608,566,395,946,353,411,521,994,489,786,608,784,676,070,054,224,016,
262,264,770,670,640,085,780,070,636,324,007,860,465,076,145,947,100,891,935,
323,680,072,043,888,128,910,260,314,339,568,189,152,128,638,335,027,508,100,
970,861,529,485,587,540,637,024,859,464,449,926,828,165,162,701,523,454,717,
857,508,320,551,321,958,978,451,073,476,846,368,673,515,594,182,723,866,777,
785,489,452,719,036,130,024,011,897,485,420,867,176,010,847,778,276,863,250,
949,754,431,157,481,742,807,380,689,498,248,426,464,772,513,404,802,934,183,
500,619,567,275,239,833,074,669,939,584,957,805,382,961,853,430,996,003,464,
328,568,558,484,850,870,714,655,004,735,815,195,336,009,204,200,310,563,947,
297,175,107,188,788,303,629,861,337,938,158,157,516,086,082,649,355,761,234,
745,035,956,480,212,203,790,945,724,206,694,629,307,509,989,599,641,793,495,
630,984,700,890,443,289,578,568,274,670,521,389,149,424,522,347,006,628,600,
023,455,698,569,448,705,312,119,420,640,024,583,009,928,069,955,672,556,132,
633,658,105,282,409,587,220,483,336,492,828,471,776,053,634,924,184,150,871,
822,936,637,610,861,005,949,425,401,021,660,890,020,998,298,149,640,035,416,
008,985,273,646,721,925,094,148,045,397,941,743,039,601,401,848,190,025,274,
547,312,938,793,337,794,433,752,449,258,745,797,735,588,287,408,694,707,865,
352,305,983,967,894,506,073,002,117,557,929,902,599,742,914,401,738,139,139,
546,757,703,833,744,326,598,373,132,597,880,154,265,053,074,125,628,172,250,
757,765,434,309,338,153,835,815,306,681,634,523,171,286,695,696,357,036,295,
104,591,995,595,718,219,297,679,851,513,451,190,510,460,369,940,707,722,307,
129,489,567,653,092,051,972,141,544,705,672,299,400,432,593,535,193,746,481,
228,418,933,999,498,898,210,446,344,209,413,148,756,424,701,467,073,742,926,
237,115,033,745,600,951,214,471,027,632,750,436,612,493,021,653,675,442,594,
493,186,331,569,956,914,800,850,186,774,259,202,227,798,585,103,577,877,849,
342,123,106,030,523,876,578,363,707,285,964,568,652,649,630,085,873,130,766,
965,393,674,357,843,538,204,213,550,861,774,446,720,158,425,283,578,017,534,
745,068,776,533,855,165,166,133,470,137,456,808,730,194,711,964,768,880,099,
056,455,573,698,104,428,235,503,150,493,364,764,252,709,509,869,655,437,073,
488,812,138,997,696,563,465,983,213,978,157,616,255,480,536,297,581,551,901,
748,639,297,616,052,087,854,328,477,942,691,354,898,225,920,100,218,262,449,
821,027,964,342,522,056,525,916,284,620,267,463,971,581,688,340,739,490,680,
912,334,738,846,420,394,943,135,457,809,609,392,815,096,145,260,810,148,472,
678,696,757,758,464,197,866,617,216,244,060,454,164,382,170,523,269,523,133,
376,461,128,889,191,216,666,214,485,567,045,709,919,612,658,211,642,942,613,
425,409,280,351,385,466,645,755,955,764,128,242,076,814,647,822,114,573,952,
178,267,880,684,128,922,141,365,379,313,137,763,631,748,614,338,395,234,058,
924,534,357,255,598,280,017,391,673,416,896,072,548,441,477,354,371,836,729,
541,305,365,026,350,355,814,359,500,092,180,096,703,792,280,366,835,458,579,
536,617,790,409,133,925,192,360,919,117,477,465,004,553,894,608,824,675,038,
999,664,627,238,195,351,719,101,774,697,835,861,511,059,664,919,479,856,036,
488,214,529,597,877,096,978,268,237,731,889,495,486,059,811,214,804,061,249,
120,738,000,760,851,286,609,659,744,735,103,989,867,288,412,497,098,099,990,
632,662,018,542,382,178,909,412,030,933,054,281,343,411,783,063,501,988,627,
881,448,802,301,278,951,865,075,642,268,936,141,679,112,375,884,616,323,615,
721,038,605,488,142,779,009,698,395,944,504,712,935,400,232,573,934,832,030,
808,797,963,649,728,168,432,624,214,286,511,918,917,775,854,712,570,785,067,
865,887,544,173,111,931,799,353,276,023,435,294,507,107,130,215,940,116,304,
232,663,260,860,198,342,576,352,581,905,732,832,050,447,954,164,143,620,914,
015,430,441,358,672,411,607,586,001,675,659,230,398,020,681,996,996,355,270,
632,117,619,613,013,489,577,962,353,573,635,956,110,622,889,497,861,687,428,
488,083,632,058,625,389,029,629,078,880,398,051,923,357,224,076,007,119,022,
955,368,326,160,697,601,484,718,590,072,070,104,941,011,011,192,852,154,015,
809,510,315,328,826,324,873,922,722,382,375,894,125,572,255,035,112,049,788,
672,594,164,596,566,573,881,890,358,603,992,430,644,268,366,425,817,004,633,
643,720,059,378,390,976,938,509,970,218,469,110,731,316,546,516,098,205,425,
696,169,268,079,754,005,415,540,032,346,765,797,877,365,804,906,128,835,636,
809,033,312,382,990,679,605,502,291,849,694,264,434,296,144,932,835,590,779,
838,297,301,961,068,951,233,064,696,543,672,200,239,828,956,647,611,609,544,
675,723,290,628,214,335,319,008,719,836,486,820,396,863,199,003,439,979,285,
708,640,066,262,651,906,076,105,544,975,840,786,369,419,706,326,285,441,341,
895,832,139,985,774,551,486,542,337,833,180,199,870,821,897,825,426,764,228,
299,180,891,027,795,599,231,801,901,407,404,330,841,333,495,336,961,830,902,
276,819,419,864,198,068,121,560,883,226,786,932,009,545,347,098,887,006,591,
950,192,380,323,651,536,488,074,410,811,099,991,935,523,314,310,499,613,057,
227,893,328,258,313,424,456,192,390,098,069,933,901,129,482,051,422,211,462,
826,196,100,781,780,643,960,262,576,664,802,646,820,986,049,066,499,577,905,
640,202,470,968,707,925,411,901,801,817,425,759,825,399,843,917,050,488,651,
226,993,753,476,249,070,404,337,453,412,332,316,579,598,389,097,386,865,196,
817,984,386,857,132,700,152,089,734,405,565,290,239,887,852,936,501,455,488,
302,182,033,184,282,379,837,219,467,461,489,607,363,100,589,999,456,067,122,
514,640,999,866,695,016,692,412,019,750,637,753,743,050,522,030,998,554,011,
400,181,236,888,811,037,236,916,145,288,218,127,079,858,931,964,022,979,317,
032,681,602,609,128,236,532,820,844,039,052,103,202,181,814,078,834,072,903,
717,014,384,262,883,202,423,114,874,723,846,207,563,072,552,197,840,893,554,
756,165,461,887,845,347,075,079,515,098,876,221,593,962,935,409,718,372,181,
552,156,261,870,075,666,094,709,165,292,951,769,255,839,909,637,592,193,244,
465,853,059,875,850,416,873,689,923,013,994,538,041,977,202,411,141,558,940,
446,128,178,181,199,739,027,893,441,609,891,794,027,476,047,655,236,180,532,
960,503,668,894,534,272,249,589,696,461,736,499,860,284,384,818,358,440,332,
705,319,797,656,135,100,362,571,547,363,830,347,936,962,455,309,716,065,992,
151,291,878,494,989,262,339,388,477,661,575,813,269,069,797,581,416,249,491,
548,644,722,401,165,283,767,843,008,886,574,796,867,991,888,943,205,586,768,
553,334,377,039,093,812,239,765,546,385,285,305,375,643,120,632,429,452,317,
140,929,851,169,759,534,549,116,276,211,261,601,186,845,878,127,692,158,798,
979,412,287,456,225,824,573,974,368,550,613,320,979,034,797,814,176,645,826,
904,761,776,698,905,892,414,854,169,630,796,342,379,156,050,944,294,122,897,
251,814,133,032,589,365,596,073,899,869,346,082,913,049,283,702,408,338,948,
302,614,999,932,239,367,788,504,581,725,741,487,091,064,040,996,212,871,820,
479,100,873,905,663,553,574,498,625,782,889,472,205,409,789,364,583,724,392,
612,223,770,445,551,227,079,709,110,100,124,644,228,341,405,134,014,250,889,
895,960,059,656,235,265,441,750,342,661,949,114,178,700,576,610,386,447,596,
360,155,489,092,336,075,319,252,986,294,095,924,403,564,613,106,743,227,047,
431,094,437,906,790,747,397,417,784,938,126,734,742,322,785,582,173,020,005,
037,698,884,510,866,653,580,646,531,266,522,163,468,965,942,405,463,328,672,
604,018,946,031,307,027,428,461,360,840,262,512,120,725,883,015,511,731,513,
371,735,060,923,859,843,625,153,292,049,241,187,643,858,630,496,239,175,828,
255,769,234,118,448,544,634,972,052,630,184,103,139,935,999,849,390,118,643,
467,462,123,117,434,547,957,029,212,507,372,723,188,767,340,212,651,130,009,
697,100,986,155,810,915,835,772,240,870,895,654,061,576,490,644,202,819,856,
797,200,197,478,173,447,244,369,545,332,868,094,710,951,673,582,358,031,700,
795,499,580,051,501,763,087,675,432,159,873,071,690,614,927,770,555,216,448,
006,453,499,188,373,996,697,715,605,614,223,835,389,353,570,604,113,983,151,
229,761,047,168,705,579,298,516,549,358,025,187,441,812,679,017,022,296,822,
770,237,888,302,729,444,098,599,455,136,379,742,113,864,404,819,622,868,084,
790,392,169,365,545,415,319,002,590,528,108,447,980,702,228,946,821,652,342,
429,843,067,242,764,841,822,398,245,094,072,588,881,319,932,402,431,938,440,
327,585,777,925,054,077,012,352,873,840,664,687,543,285,104,132,223,794,025,
104,751,988,016,902,642,256,744,186,653,510,833,521,144,694,804,147,525,525,
142,087,329,876,196,005,420,166,833,485,000,375,651,671,564,589,559,940,506,
234,140,185,105,245,595,356,392,257,973,491,625,904,361,305,084,230,473,763,
166,611,336,997,038,134,856,164,089,332,699,665,645,624,424,318,299,088,712,
154,537,074,187,243,223,198,018,341,359,318,227,265,190,545,661,189,472,791,
434,747,862,176,705,585,383,737,978,410,144,159,770,393,792,913,730,664,720,
716,848,363,837,613,768,035,700,608,925,956,166,905,678,927,814,999,087,171,
080,837,460,905,766,180,091,076,037,795,695,320,675,388,824,490,115,661,821,
222,067,428,828,982,881,338,275,935,996,462,272,318,152,913,963,631,734,068,
441,474,385,925,165,872,838,929,426,141,345,973,929,983,117,774,995,776,798,
784,871,958,537,382,988,655,795,913,675,954,398,835,386,999,894,736,987,537,
801,997,351,536,760,512,637,561,495,351,455,247,850,762,913,577,081,643,551,
741,560,299,816,885,881,660,035,861,375,319,082,451,944,926,247,767,583,426,
990,349,607,726,555,805,754,378,666,642,566,508,322,924,184,307,187,248,846,
494,158,639,171,325,594,169,126,345,466,561,074,075,035,883,165,568,158,328,
628,451,005,980,961,449,074,125,721,802,288,508,466,310,168,340,016,441,855,
014,615,521,946,469,872,333,725,846,948,639,222,389,264,876,600,089,325,529,
877,097,550,837,991,698,666,249,040,915,534,919,518,283,309,536,081,355,947,
607,949,275,562,637,973,545,000,630,555,149,559,906,382,768,840,012,863,008,
382,555,159,170,106,296,699,868,154,573,155,668,630,193,442,891,756,234,534,
523,178,771,019,493,990,483,698,464,107,890,548,267,907,498,560,850,399,174,
773,026,870,531,685,073,604,763,293,349,724,506,950,866,741,976,484,708,591,
122,338,389,761,796,515,255,488,193,782,368,431,284,214,748,487,204,086,483,
360,175,797,453,324,804,816,343,160,149,840,551,911,598,111,434,606,550,348,
580,979,172,683,951,607,346,312,118,440,866,641,814,617,614,511,186,630,398,
555,144,064,856,664,880,887,280,373,960,917,735,274,105,923,864,638,857,664,
027,297,619,308,395,574,659,929,930,790,331,902,206,933,113,369,786,092,561,
243,066,808,099,980,553,360,091,347,861,327,704,585,624,517,239,593,458,381,
305,905,914,987,180,983,701,654,682,252,122,957,275,281,677,144,319,047,211,
025,484,814,786,514,896,799,395,780,316,214,174,413,606,494,053,880,504,988,
619,273,767,886,716,027,224,631,862,319,967,251,418,260,970,636,754,015,934,
560,770,388,656,721,630,176,137,655,618,939,956,037,082,449,103,542,286,609,
053,067,995,349,322,740,287,627,575,110,842,020,148,497,377,525,235,073,919,
304,876,620,509,892,220,379,043,785,900,095,175,050,311,755,320,374,031,681,
672,062,232,469,095,989,577,819,148,091,829,993,611,817,468,618,731,929,101,
175,996,965,705,257,251,392,967,223,847,770,689,793,193,831,426,277,121,666,
468,309,817,950,600,957,270,951,236,753,632,567,954,698,182,351,737,583,221,
510,825,298,517,314,986,203,819,515,357,593,740,939,376,637,900,313,329,616,
906,418,641,096,223,876,826,600,230,057,990,900,247,621,631,563,501,338,270,
767,007,415,105,879,399,720,577,734,535,491,164,053,504,433,522,355,792,198,
840,305,497,117,120,309,203,967,402,262,030,405,900,797,889,958,147,148,318,
808,105,752,005,753,284,346,009,527,437,092,784,256,254,282,922,012,751,924,
102,896,033,498,391,775,275,273,068,346,347,021,947,712,659,405,791,989,973,
150,571,365,413,507,129,506,517,217,548,806,155,417,615,583,075,185,061,496,
612,140,129,423,283,251,449,918,013,352,090,526,119,696,718,265,439,058,203,
110,993,916,595,775,824,758,510,389,295,045,568,002,485,044,605,593,877,164,
384,224,070,194,407,195,484,179,310,261,833,625,189,506,494,948,128,306,831,
121,882,904,446,189,254,297,262,409,422,932,753,875,325,741,299,612,221,623,
146,711,700,026,755,846,958,061,755,782,665,360,361,114,295,160,001,650,370,
371,551,441,046,155,005,638,487,708,193,010,103,024,566,402,734,512,646,336,
215,038,733,113,404,090,418,516,434,584,044,135,199,242,667,154,042,503,488,
836,600,755,165,265,859,542,975,596,295,221,863,663,638,129,564,615,425,321,
592,315,406,862,445,810,562,656,919,877,849,681,630,869,826,531,375,333,207,
011,408,033,635,876,538,454,320,297,340,662,056,938,410,315,390,847,599,928,
878,898,005,603,013,444,459,204,357,698,608,975,258,178,383,229,562,002,038,
874,862,942,828,179,646,637,094,948,322,982,054,899,463,558,842,721,631,841,
072,680,639,593,943,287,185,558,155,530,039,092,584,435,637,512,357,199,134,
482,664,076,592,109,607,043,251,095,445,713,360,241,029,755,677,508,284,538,
042,799,558,614,301,510,384,234,389,034,679,274,931,422,706,820,301,798,907,
932,859,774,831,542,772,374,163,564,706,458,682,172,657,566,474,973,184,583,
936,089,216,820,550,413,394,939,609,586,399,658,036,257,579,737,418,700,235,
831,636,357,500,880,798,483,533,670,874,474,283,871,632,000,232,577,361,370,
184,123,896,577,483,588,930,056,886,273,063,701,047,378,466,903,373,692,846,
701,166,789,405,103,801,267,917,960,470,340,507,214,033,145,142,849,697,019,
740,227,805,780,912,204,078,128,915,883,371,725,469,098,054,206,340,288,463,
638,921,162,461,641,719,388,828,209,995,663,822,871,346,097,116,574,769,829,
024,226,393,814,364,905,089,344,022,205,362,130,433,953,624,042,325,134,931,
370,841,937,174,800,760,542,517,922,028,415,971,735,891,372,833,946,497,072,
278,129,947,946,925,007,027,836,530,741,972,026,243,310,093,163,485,830,136,
851,941,572,201,218,053,291,877,106,851,239,958,843,953,492,443,550,186,749,
278,523,092,074,246,608,750,976,130,130,947,502,416,487,855,379,389,858,381,
567,298,086,761,965,192,939,674,534,312,882,009,891,739,474,861,841,514,494,
206,614,510,206,858,210,089,087,224,093,531,222,430,558,106,366,903,347,537,
086,943,008,910,381,785,484,614,856,689,674,833,164,273,742,523,043,618,269,
834,895,763,018,293,233,424,324,680,026,459,786,818,547,656,292,487,376,374,
047,660,732,473,087,523,748,885,533,115,988,024,761,131,233,838,631,989,112,
634,869,715,596,547,263,333,278,367,327,286,054,618,626,509,131,909,400,072,
184,838,553,687,551,320,373,957,690,982,076,964,761,737,885,934,515,149,985,
835,814,615,590,846,887,312,532,070,612,154,112,018,806,128,360,513,023,184,
538,846,042,421,647,171,960,204,306,188,058,832,180,953,700,241,000,925,827,
068,035,565,142,803,084,281,195,186,023,937,946,148,531,300,933,348,661,133,
190,012,462,745,637,295,432,396,568,544,149,546,926,803,920,072,126,368,498,
535,455,317,008,388,436,346,303,976,316,256,190,203,330,279,817,020,002,712,
408,080,807,152,108,607,886,069,331,287,693,129,022,940,826,046,256,601,671,
039,667,675,925,146,306,962,426,032,705,152,705,469,010,166,393,147,800,698,
473,095,405,734,276,973,144,204,807,239,409,723,475,726,518,121,641,327,012,
484,688,013,320,734,005,342,123,907,246,067,559,623,494,990,419,999,531,504,
928,607,510,589,219,232,122,897,803,422,784,252,410,353,703,723,746,857,179,
506,542,532,115,689,560,214,597,543,834,915,074,208,809,688,260,437,102,120,
249,799,593,070,366,986,833,334,079,272,842,015,296,271,954,003,145,793,720,
331,129,445,114,325,686,937,427,696,756,965,213,931,353,725,253,599,780,094,
622,118,692,965,844,368,553,190,965,319,751,043,240,920,050,701,787,373,471,
894,655,313,256,687,864,458,305,714,049,201,985,712,202,941,622,346,357,750,
811,962,674,155,867,143,558,980,004,644,045,848,711,565,483,888,264,785,278,
952,846,896,508,919,012,958,501,617,663,819,049,652,766,922,393,394,712,639,
756,720,595,776,214,284,444,848,706,356,715,299,091,327,947,623,910,066,423,
849,972,060,745,229,015,689,516,230,688,272,987,772,043,834,304,403,627,417,
374,352,859,877,941,725,846,294,593,775,080,044,734,325,334,481,900,405,114,
964,143,111,277,717,535,202,671,737,753,925,552,963,437,747,793,276,220,228,
118,327,459,104,338,893,546,289,260,550,358,075,799,722,218,122,478,574,430,
727,329,697,243,722,919,575,804,267,201,790,113,341,288,731,097,173,725,366,
044,323,254,201,341,729,359,345,921,246,063,842,274,242,592,938,691,061,894,
991,601,047,008,045,389,098,743,899,248,707,329,291,731,884,856,742,208,939,
533,182,339,354,304,765,796,524,718,601,509,601,130,764,058,084,874,410,039,
948,683,162,434,296,802,771,711,324,319,374,554,094,251,092,117,188,281,087,
182,794,300,611,975,092,828,959,473,654,073,056,187,289,058,087,660,057,830,
839,180,383,046,316,590,750,581,111,060,416,399,379,693,234,860,708,372,867,
912,583,712,011,964,148,591,405,378,368,425,133,970,218,736,461,114,217,529,
400,453,566,102,919,619,189,164,592,747,137,146,100,655,851,503,180,049,592,
112,163,058,960,923,254,645,452,460,415,776,998,424,602,100,181,876,233,934,
367,619,665,952,596,778,503,806,866,882,944,902,263,060,227,139,617,155,871,
576,118,019,259,893,203,280,501,107,268,827,578,690,266,304,470,477,376,758,
336,944,208,922,541,062,429,617,459,009,265,372,181,063,634,592,119,627,605,
572,004,275,394,378,667,314,338,168,405,914,891,633,897,282,503,585,165,398,
677,221,573,276,893,175,861,808,459,800,872,068,004,515,521,962,538,823,010,
325,110,508,592,634,165,800,198,174,879,031,843,768,337,662,420,650,359,686,
995,118,831,594,944,198,184,658,819,492,545,562,344,233,542,654,026,876,762,
505,455,507,603,986,064,759,264,489,697,763,010,292,750,021,921,726,474,317,
874,435,609,810,960,867,507,887,017,216,019,356,309,972,131,026,772,490,166,
847,302,060,569,893,212,559,237,945,833,415,189,606,229,224,248,339,044,812,
682,855,118,524,132,324,491,063,973,084,646,763,078,608,017,152,601,824,666,
439,724,161,327,583,691,704,764,671,094,665,244,429,004,793,644,867,386,755,
072,202,115,825,909,971,610,986,745,703,111,620,647,706,630,103,321,790,824,
775,691,761,241,048,344,276,538,361,005,940,717,077,523,652,191,354,887,365,
937,684,608,919,661,629,440,609,147,619,469,475,074,328,843,206,059,546,520,
385,939,214,383,586,667,954,089,735,175,687,087,340,634,513,084,238,791,618,
383,122,389,253,294,391,815,377,219,095,015,519,990,309,334,254,574,205,448,
899,618,335,883,820,676,311,536,907,492,341,078,862,498,600,628,026,296,710,
767,796,692,379,561,942,151,780,542,806,262,166,814,061,176,172,909,730,486,
657,826,417,947,866,271,971,139,840,700,343,143,956,345,118,663,038,526,474,
099,466,777,656,721,348,346,394,264,110,285,314,416,780,984,556,782,205,336,
589,316,915,101,222,283,866,997,626,394,243,057,817,083,322,083,286,769,516,
802,015,323,592,172,978,921,413,078,311,769,833,659,303,573,169,550,637,814,
100,704,608,426,364,181,391,743,918,360,714,309,412,580,317,442,002,044,633,
844,881,296,595,757,459,576,244,275,665,509,640,486,364,736,835,631,488,903,
146,931,672,868,120,508,204,647,783,527,429,763,974,521,724,940,215,303,362,
639,974,456,109,104,902,892,697,182,308,767,837,917,754,105,627,192,745,163,
588,239,363,937,794,474,583,155,668,366,131,009,065,481,219,322,044,519,809,
343,024,302,588,494,879,275,975,430,975,761,624,580,478,982,444,574,466,842,
783,033,155,152,599,243,216,326,644,743,363,426,511,672,852,894,346,304,981,
374,901,894,394,225,370,237,347,045,454,362,865,170,404,192,715,919,630,954,
887,714,571,310,402,746,274,525,086,864,927,985,362,641,828,080,939,738,220,
158,573,365,600,688,726,152,583,166,924,798,242,228,552,295,733,233,941,798,
260,066,227,609,132,800,025,816,111,861,340,755,918,013,890,311,171,157,096,
898,906,850,657,550,088,357,350,726,806,749,440,903,551,526,574,405,472,272,
146,671,449,386,667,096,541,306,899,450,898,800,941,063,261,924,497,220,128,
854,357,041,438,594,030,160,418,678,955,304,869,864,542,983,043,153,770,679,
546,903,974,944,934,101,460,992,641,903,768,581,505,576,449,185,102,703,766,
854,262,487,864,105,405,415,718,770,387,003,823,424,261,178,911,181,071,554,
243,324,664,324,729,810,773,434,151,656,836,640,507,263,434,551,508,734,502,
132,747,865,930,167,437,400,453,553,637,524,221,086,643,119,748,168,923,763,
081,381,608,786,710,208,561,287,402,947,023,603,732,288,696,285,776,865,999,
530,994,778,538,097,764,524,533,942,604,765,048,230,735,626,203,683,382,145,
905,442,357,009,147,558,792,587,912,837,432,377,875,441,236,503,882,330,637,
277,095,266,694,700,465,301,344,140,162,017,608,450,284,869,340,606,899,568,
188,256,735,453,572,221,186,796,848,575,171,363,539,383,125,661,597,107,229,
723,230,901,760,669,005,856,845,644,822,146,097,601,431,139,397,749,933,980,
830,664,820,702,768,346,671,423,042,159,345,891,023,209,794,023,830,207,291,
637,407,579,442,083,459,059,637,604,939,647,838,606,088,153,048,607,118,893,
882,955,417,052,293,689,525,736,083,093,258,387,455,019,911,303,695,343,218,
375,398,889,531,085,049,804,782,884,199,155,365,385,855,547,075,041,360,679,
349,185,016,730,116,861,215,756,318,084,481,756,236,947,326,985,283,532,732,
143,061,054,437,461,574,170,374,804,951,073,732,821,165,599,998,516,467,012,
315,155,685,887,063,935,923,755,499,548,547,064,247,131,119,124,469,864,579,
195,177,792,214,337,339,710,578,534,964,206,593,715,405,608,402,306,580,826,
803,948,972,109,628,071,358,694,598,435,206,149,846,987,981,854,077,924,069,
692,179,177,090,705,383,313,327,362,349,840,243,215,405,511,486,841,075,238,
668,429,780,018,961,573,887,728,054,253,417,107,707,412,164,627,847,706,007,
656,642,105,867,293,628,705,365,224,039,145,052,528,782,824,284,082,823,679,
245,746,359,616,109,840,078,148,417,716,250,559,539,647,085,120,668,109,668,
324,218,060,743,106,145,601,461,902,199,234,042,913,836,067,838,039,199,443,
115,793,160,969,269,010,714,454,300,255,068,424,093,376,517,060,806,020,692,
633,706,375,656,495,999,599,738,663,925,851,207,963,102,659,295,848,529,750,
783,833,433,117,002,684,638,364,502,596,676,712,451,886,929,834,011,310,151,
728,502,050,407,696,338,801,885,147,605,108,965,852,744,439,853,620,871,761,
561,470,475,829,591,950,854,794,011,606,689,379,895,450,659,592,702,882,110,
385,270,537,306,733,792,094,622,848,012,991,105,958,098,354,813,700,864,082,
122,524,377,168,418,133,120,559,368,659,745,280,810,558,463,986,610,796,754,
022,453,790,450,880,485,282,794,898,561,007,398,484,966,055,849,552,102,618,
228,949,700,513,509,296,484,076,547,324,853,417,685,173,351,282,404,666,607,
391,006,760,548,513,610,215,245,940,822,389,666,571,878,688,478,269,283,738,
989,733,872,085,837,137,339,227,441,044,247,792,971,735,713,795,567,803,156,
834,851,916,932,047,634,587,663,149,680,288,834,162,496,243,657,744,212,738,
102,400,217,547,077,630,131,129,144,555,755,252,737,564,784,133,052,865,642,
554,196,301,711,035,666,275,473,865,462,078,486,652,957,676,544,711,124,547,
125,798,104,082,175,720,899,799,532,979,868,444,548,163,833,983,286,071,116,
359,041,682,415,676,693,590,097,044,049,095,517,581,203,492,876,763,490,132,
180,249,540,750,909,601,616,864,830,946,722,090,661,390,607,510,108,686,519,
843,566,262,076,123,241,040,333,029,913,429,612,868,523,103,342,591,541,870,
143,183,164,896,544,671,057,580,315,386,921,441,859,137,218,989,320,753,149,
333,632,483,785,405,694,696,658,555,568,806,295,599,088,290,036,910,027,518,
271,249,149,557,172,734,358,952,766,261,929,312,048,970,772,372,420,996,346,
487,214,962,154,522,229,245,743,926,020,138,460,839,035,230,161,282,770,800,
109,679,265,701,163,125,893,387,490,326,896,429,131,771,736,530,705,486,376,
329,358,113,581,489,042,382,807,579,295,785,985,989,271,631,251,816,431,258,
602,408,875,548,386,420,290,505,677,445,540,685,137,941,528,740,247,785,518,
439,650,827,432,572,519,746,915,467,324,797,979,499,072,597,889,031,086,636,
863,158,071,270,890,467,590,287,128,812,565,603,064,027,456,490,998,758,920,
746,133,990,007,427,663,965,374,496,921,298,561,098,935,399,099,515,757,720,
072,760,516,290,535,357,347,107,164,577,733,016,781,625,460,415,654,818,449,
310,061,625,279,104,914,043,346,421,267,584,780,077,707,314,571,788,348,926,
758,743,291,491,913,827,355,822,900,913,200,399,551,701,683,455,899,603,848,
519,786,417,499,850,471,607,965,949,048,610,171,440,773,337,851,152,014,952,
892,983,620,044,306,562,443,335,412,322,220,430,962,391,091,527,880,309,110,
481,962,465,797,256,668,254,794,383,713,953,627,464,740,128,058,370,665,454,
337,835,337,412,983,713,685,922,090,053,557,343,160,137,657,880,466,593,415,
210,083,823,055,825,881,918,589,359,034,066,707,219,491,951,454,768,116,944,
573,857,031,094,792,555,289,908,794,656,185,217,476,459,207,087,050,305,840,
404,605,167,526,223,943,749,278,721,961,372,431,107,518,617,157,168,026,249,
977,916,476,139,230,723,970,679,805,062,819,199,220,068,908,893,269,847,250,
796,255,083,222,785,317,977,979,781,957,603,731,650,321,214,731,802,584,319,
887,786,096,057,406,276,335,995,608,590,184,644,725,789,121,439,492,982,479,
736,401,614,276,809,324,664,893,812,190,702,867,589,248,234,454,353,232,923,
744,907,434,635,088,856,646,142,500,138,727,353,706,446,760,192,185,174,695,
174,308,152,357,801,669,864,645,823,775,094,281,060,820,099,561,552,931,870,
087,930,914,233,929,101,243,001,998,771,088,879,477,769,288,232,771,039,981,
723,811,202,676,520,135,303,931,999,555,889,838,763,294,513,497,401,551,583,
098,688,919,920,991,167,790,131,681,202,699,424,549,994,245,924,010,821,859,
043,732,673,173,731,678,016,460,108,666,384,593,632,197,651,646,534,326,861,
366,745,164,678,156,912,716,942,618,078,637,829,912,261,952,861,653,829,863,
029,813,098,711,341,536,261,564,107,678,810,154,323,175,987,083,812,786,188,
373,910,922,385,916,325,696,803,757,524,858,464,977,953,098,947,669,941,355,
553,567,100,571,914,314,606,636,897,018,659,834,740,546,790,290,914,885,549,
360,290,909,981,774,618,222,786,218,510,741,875,707,458,956,460,922,194,729,
576,427,684,081,861,830,383,194,240,246,507,037,293,752,249,303,152,855,831,
911,010,273,372,482,148,543,889,137,478,228,717,219,995,403,204,083,904,529,
263,530,778,990,415,127,930,494,774,161,310,188,282,221,254,285,836,606,061,
507,636,902,588,261,141,714,272,142,859,966,275,610,026,691,657,896,843,141,
660,869,601,940,865,192,247,380,045,097,483,225,066,855,482,775,136,057,386,
095,868,238,511,243,032,642,369,500,145,227,455,231,984,861,984,189,209,677,
320,718,877,401,367,761,187,177,623,438,644,477,179,210,382,327,495,320,672,
135,332,614,473,649,607,186,669,186,727,465,254,423,890,363,205,665,862,937,
062,329,611,180,400,765,190,228,718,332,950,511,295,777,398,289,176,922,347,
774,092,607,544,181,744,147,685,268,928,972,194,232,928,411,467,120,127,844,
384,172,706,926,300,035,624,450,700,561,125,826,619,509,184,724,552,314,120,
134,167,764,797,883,061,095,649,317,983,067,066,878,681,375,505,903,011,973,
103,291,707,825,638,938,424,207,296,787,517,398,637,666,041,391,173,428,307,
815,873,092,910,738,160,520,903,028,756,352,159,174,975,898,609,006,313,867,
227,997,619,660,673,211,246,745,189,116,993,038,294,064,500,797,274,389,428,
897,202,230,627,692,173,389,464,538,916,759,670,020,196,601,082,110,788,504,
242,750,332,628,249,183,096,144,009,570,022,864,274,186,229,334,204,605,432,
966,901,562,927,074,085,760,863,360,958,084,789,508,316,293,861,047,749,589,
971,552,943,474,657,926,543,195,818,955,764,446,245,006,251,233,780,439,636,
478,508,105,507,103,944,296,653,241,170,523,571,015,801,213,800,159,715,083,
283,560,859,961,823,373,030,481,312,304,884,303,297,490,025,601,756,027,736,
207,640,063,955,720,439,778,396,400,611,534,093,297,963,727,370,280,100,842,
027,073,252,479,396,010,433,090,770,701,692,919,632,229,704,625,146,599,672,
509,774,587,387,599,837,702,789,988,616,185,961,683,101,747,202,704,724,964,
530,274,509,401,766,769,527,870,651,820,443,938,458,124,976,166,040,245,263,
623,919,950,553,521,775,996,020,615,091,391,547,189,299,269,538,306,723,631,
183,200,773,428,114,733,873,441,640,881,658,749,741,500,449,259,040,201,066,
267,532,504,018,609,032,298,288,531,589,500,766,004,818,891,755,079,861,738,
674,309,685,402,312,380,699,905,549,437,717,737,449,109,918,723,483,708,519,
948,951,849,933,807,605,401,069,112,055,376,550,399,858,575,068,320,035,947,
949,057,821,495,471,527,663,839,296,966,110,611,624,145,628,454,307,668,961,
067,440,452,405,390,810,565,532,597,460,683,081,508,224,615,304,364,050,219,
288,306,860,652,617,028,300,770,631,003,692,266,959,728,832,334,981,086,659,
976,404,489,850,708,468,719,431,604,143,822,781,783,143,836,293,374,034,963,
424,774,658,949,621,319,828,919,727,838,526,258,098,266,798,454,708,050,206,
468,135,208,227,765,884,983,684,324,706,596,731,924,579,228,008,017,459,891,
002,248,775,951,889,209,058,087,773,042,090,600,026,585,809,462,394,119,493,
048,639,989,054,232,990,069,784,828,348,299,387,229,178,144,000,188,805,319,
148,462,232,267,322,736,541,920,120,903,648,219,771,080,565,601,510,988,519,
917,101,329,342,372,992,246,609,668,637,177,945,823,626,520,916,760,973,347,
327,109,511,124,431,164,721,189,028,442,382,556,058,400,569,947,861,726,506,
081,704,207,247,230,604,674,945,036,720,510,157,198,449,579,086,910,609,613,
780,676,898,532,691,295,529,799,888,979,820,562,335,310,289,221,573,297,299,
820,712,451,683,865,839,266,336,437,609,296,546,526,183,952,599,296,070,313,
755,678,037,514,961,105,760,788,045,070,227,629,047,052,650,924,891,132,862,
327,781,172,288,013,329,964,240,528,302,022,509,091,412,559,319,030,322,897,
694,248,019,074,138,558,933,449,293,629,121,216,081,593,250,307,075,286,845,
323,964,254,172,796,550,201,684,201,217,343,972,963,740,086,569,766,640,224,
792,790,240,107,718,104,611,243,134,458,708,862,413,123,235,994,296,658,885,
040,575,089,525,365,849,646,658,074,383,800,051,284,771,815,913,737,575,356,
487,241,920,243,345,741,028,345,765,802,080,357,390,324,832,989,241,823,290,
024,258,315,142,145,792,021,214,133,617,069,044,379,751,872,534,501,976,997,
868,841,887,729,215,974,543,097,602,227,933,180,980,809,124,340,869,307,956,
356,974,999,741,150,587,489,133,661,359,035,845,053,504,685,944,782,920,594,
632,778,582,328,533,708,388,204,661,289,481,206,005,998,745,776,766,867,511,
967,154,527,984,425,793,604,756,554,849,395,563,478,747,159,037,665,892,863,
164,107,372,098,550,931,576,886,598,847,658,957,019,605,363,342,403,613,350,
332,576,804,843,903,522,717,851,255,332,046,835,259,454,137,451,245,889,358,
999,646,833,599,682,103,194,805,265,700,430,336,732,944,627,035,185,406,412,
575,519,765,819,277,216,635,082,457,979,871,685,776,663,842,564,237,737,721,
783,169,742,310,977,649,345,598,248,043,504,324,153,340,613,833,620,038,076,
340,451,808,807,769,565,140,983,458,484,241,642,065,375,060,909,325,031,134,
874,707,555,695,032,552,604,090,240,372,681,688,738,750,501,440,647,107,451,
549,484,387,228,857,885,563,379,701,894,766,759,071,404,753,197,059,197,124,
039,349,311,349,646,570,383,079,694,166,583,222,554,760,916,268,693,643,224,
862,554,003,469,955,255,591,422,330,683,179,041,755,362,166,586,388,842,263,
463,615,916,841,869,271,219,396,695,089,865,877,557,118,831,843,947,077,425,
532,947,389,351,320,933,050,250,058,554,092,275,607,752,789,047,526,078,829,
486,972,393,418,711,194,407,757,278,010,341,731,353,968,817,374,462,304,100,
256,706,823,945,289,987,048,069,621,063,661,964,270,615,682,649,393,592,413,
280,930,709,827,365,824,530,326,376,971,930,858,961,393,485,989,750,524,701,
578,761,119,942,452,920,314,183,295,839,876,139,083,645,168,393,721,578,500,
101,382,919,108,951,686,414,541,711,638,055,401,199,356,809,773,355,568,530,
035,720,934,054,375,733,508,337,331,230,049,305,736,206,803,593,127,865,802,
010,830,151,884,243,689,027,129,263,801,123,559,787,894,828,261,741,633,503,
423,704,949,981,853,435,968,318,549,737,633,068,069,615,856,602,916,677,883,
620,402,993,472,165,933,584,139,827,838,745,779,481,987,437,498,531,151,020,
089,546,486,452,290,630,941,608,784,014,796,292,982,200,571,298,000,667,084,
912,797,168,954,719,029,460,729,968,793,792,774,345,595,949,624,254,740,212,
262,994,634,081,140,655,327,361,960,138,102,347,863,363,580,511,560,201,523,
770,913,544,735,533,575,612,927,848,531,392,956,590,390,060,906,405,851,712,
765,973,056,279,179,552,287,799,459,154,293,678,560,243,671,377,135,570,763,
787,235,225,326,497,712,871,121,213,752,794,855,617,490,563,945,146,428,171,
635,689,459,687,599,947,150,809,353,012,659,443,520,241,739,225,287,542,167,
157,471,165,968,982,850,739,594,266,046,410,412,502,061,997,776,185,588,933,
834,356,836,569,103,214,328,800,876,986,175,544,134,285,277,047,254,677,867,
070,580,238,167,521,393,193,892,453,861,759,713,335,639,869,029,536,713,314,
824,170,737,910,820,769,552,726,898,701,653,629,022,075,112,780,574,110,139,
679,379,669,887,000,284,130,546,727,573,107,628,482,188,706,684,158,411,294,
972,317,419,980,023,742,118,000,079,987,252,134,011,462,735,828,649,875,075,
022,071,821,348,728,975,558,448,818,087,404,197,333,963,632,002,041,161,768,
278,893,681,936,492,717,157,717,176,340,127,164,676,130,056,901,462,149,949,
634,371,332,959,257,999,573,624,153,560,363,965,321,007,267,130,821,429,649,
524,224,473,833,588,588,177,916,765,495,704,458,965,926,458,901,308,671,010,
439,605,204,894,279,699,144,694,132,620,574,512,648,147,282,436,835,387,583,
935,602,169,585,128,641,960,769,523,787,514,217,510,280,467,098,924,934,072,
580,706,878,596,367,818,768,976,325,038,467,884,123,871,841,335,330,989,911,
714,403,016,635,046,067,105,790,277,122,005,456,498,949,296,084,222,815,834,
758,935,739,567,245,204,534,641,590,941,895,952,206,233,643,679,861,448,869,
926,089,311,169,075,970,387,116,912,121,149,120,180,374,297,131,885,479,093,
846,103,067,330,445,488,140,675,157,994,646,997,784,416,392,190,058,252,145,
360,364,993,168,101,458,890,114,627,674,209,813,489,056,563,897,796,493,831,
866,024,289,476,865,248,233,301,291,173,231,684,492,482,471,259,533,473,501,
901,816,149,000,378,943,535,040,725,445,526,265,860,529,349,358,905,739,813,
196,655,904,226,065,860,983,959,556,208,308,738,968,994,465,315,324,407,045,
576,713,852,539,882,081,037,884,656,412,219,877,801,469,956,049,227,158,749,
062,559,103,830,467,097,861,704,431,784,276,113,377,384,225,218,050,896,243,
971,063,243,305,371,652,353,864,553,452,951,309,103,466,665,203,929,746,497,
650,656,055,479,906,828,156,954,756,802,129,186,007,683,103,949,109,787,363,
714,661,849,886,924,613,469,280,132,953,174,671,579,803,585,340,341,568,167,
322,206,297,212,817,360,542,306,177,205,316,322,354,007,142,387,574,097,794,
943,085,094,808,059,827,165,128,445,698,224,886,501,372,130,002,909,648,623,
667,520,188,775,060,344,397,966,847,200,763,326,236,334,343,308,002,365,368,
789,012,104,703,305,222,727,722,536,349,277,536,480,042,298,718,165,206,335,
423,393,346,281,025,563,577,807,910,792,083,817,041,489,435,761,670,396,865,
982,496,344,380,913,850,937,240,017,883,580,239,471,620,747,370,306,631,247,
927,374,442,825,332,114,449,266,401,417,725,507,408,892,816,251,590,825,050,
371,619,332,651,555,828,938,096,314,203,014,450,831,301,917,538,110,993,260,
509,263,921,776,078,497,354,325,852,987,101,459,722,548,445,530,477,643,268,
972,803,127,754,287,773,320,047,688,371,560,131,544,447,085,740,328,617,582,
051,360,840,647,154,342,476,599,809,349,755,554,258,956,460,709,674,390,384,
145,037,125,023,941,531,736,520,844,480,254,129,959,986,481,623,012,685,028,
598,745,323,398,197,111,771,687,006,241,220,479,637,709,628,965,285,745,811,
033,643,190,295,420,368,831,796,425,503,624,480,850,258,611,693,686,990,563,
348,981,759,864,660,700,075,630,686,928,316,873,669,791,577,817,834,045,972,
313,694,252,129,963,652,262,266,486,208,900,219,323,795,388,114,899,506,420,
739,867,131,394,344,175,330,807,394,833,358,642,511,169,782,008,420,332,997,
424,203,788,815,852,898,245,853,476,370,156,277,507,022,212,612,164,774,417,
266,005,227,684,568,462,603,633,663,437,031,569,198,745,069,565,443,082,700,
177,967,258,632,543,481,177,792,587,205,002,809,027,432,219,362,399,525,131,
372,854,107,884,346,634,489,403,785,860,520,795,162,211,027,770,461,027,498,
701,562,360,152,922,293,418,910,633,880,219,685,090,025,116,186,158,166,277,
175,693,431,931,986,990,092,963,155,136,940,848,866,471,459,980,466,880,940,
108,328,860,083,327,742,622,127,932,063,153,809,984,437,588,607,845,130,156,
933,316,024,006,764,535,211,983,115,065,771,983,465,101,523,191,825,090,387,
691,224,173,970,979,303,009,808,151,962,478,989,503,798,521,362,775,957,165,
210,313,802,019,175,133,066,573,471,451,274,012,053,803,593,369,468,389,826,
896,968,643,470,318,051,862,983,074,370,654,868,537,919,816,183,934,341,839,
988,590,743,380,931,044,440,618,409,000,789,458,871,999,074,285,913,107,985,
817,992,119,190,017,994,634,894,142,280,672,517,420,920,326,147,459,002,448,
161,581,659,151,973,373,467,487,605,956,041,700,502,528,262,533,364,239,902,
256,339,506,160,204,556,868,701,920,491,528,477,626,226,679,184,189,999,641,
282,946,399,811,213,816,675,350,644,778,069,559,914,375,648,485,354,722,676,
701,382,806,392,377,304,126,805,529,549,091,553,994,998,703,161,890,307,547,
288,974,708,620,485,199,802,253,368,495,509,920,096,215,725,521,096,358,124,
349,542,783,619,304,308,718,758,422,534,490,534,085,315,136,598,931,090,734,
368,132,810,132,620,672,360,262,943,137,737,503,909,084,334,329,894,511,149,
979,829,445,118,894,819,721,326,648,985,246,684,377,310,451,043,224,638,023,
922,958,769,065,068,704,722,146,648,049,501,164,186,870,677,915,216,649,188,
514,583,214,217,636,509,785,930,807,471,745,619,494,724,471,282,774,873,279,
812,136,456,054,354,138,966,537,938,118,959,445,488,291,769,865,058,346,001,
914,279,313,222,661,854,235,457,374,993,503,456,188,653,972,790,279,012,719,
725,040,847,174,940,605,231,435,351,059,523,217,806,009,120,704,659,540,789,
394,261,774,779,878,116,264,110,287,643,808,112,302,097,464,618,915,949,096,
832,399,925,235,970,560,358,479,758,406,951,021,633,816,784,770,429,425,043,
969,378,215,073,850,591,975,741,797,810,248,516,829,119,558,191,774,670,784,
401,482,096,418,916,441,424,775,809,291,116,991,103,344,155,034,404,317,132,
544,677,557,173,256,513,835,195,813,725,337,110,593,020,161,441,412,413,243,
512,745,670,412,324,146,446,826,822,880,255,192,595,214,686,574,293,984,842,
675,836,602,422,978,686,398,512,638,313,658,562,340,219,212,718,209,477,173,
091,967,329,008,681,842,416,748,622,957,936,273,873,620,910,600,338,743,156,
011,956,287,420,162,557,410,940,684,308,781,562,606,018,709,402,166,804,368,
116,673,989,384,222,686,961,510,941,281,759,724,248,697,359,995,565,300,716,
236,916,527,251,437,729,087,279,482,859,586,438,755,066,470,362,130,056,021,
927,625,260,570,378,021,560,927,557,922,282,246,003,596,038,497,857,368,439,
938,213,747,901,416,221,199,994,986,949,628,718,501,610,473,150,478,405,420,
369,165,149,299,987,011,708,990,792,501,755,417,667,286,948,886,266,247,953,
352,823,025,261,137,794,440,661,940,559,094,288,480,156,316,329,941,437,885,
331,856,974,032,566,209,406,695,754,964,096,572,032,648,758,954,485,074,140,
124,877,895,706,858,835,510,305,864,200,110,874,723,828,549,291,770,680,821,
973,048,551,083,434,854,250,106,466,277,122,310,447,515,537,263,318,478,427,
176,536,218,966,129,685,872,851,016,167,301,467,528,707,076,704,047,397,485,
263,335,645,821,722,803,018,209,750,804,565,572,687,168,957,705,966,220,992,
382,138,971,409,462,564,754,948,272,820,498,448,311,103,849,001,032,885,805,
709,458,206,777,182,024,282,110,117,558,558,850,427,242,251,411,947,387,374,
299,410,275,653,498,807,383,187,306,155,059,322,546,281,828,305,276,236,080,
166,370,257,915,491,974,944,949,759,485,950,772,623,093,925,022,005,830,029,
906,972,483,238,452,125,980,641,753,691,989,791,120,349,696,437,933,346,535,
165,648,422,911,167,066,081,567,419,545,184,749,287,923,897,880,629,358,766,
107,621,016,278,839,868,325,574,703,639,533,427,774,679,529,154,139,355,474,
537,828,434,471,471,678,540,783,341,876,911,985,808,177,887,823,072,242,816,
053,221,730,812,795,811,053,192,821,522,985,407,018,318,907,891,139,357,339,
837,313,675,238,038,681,449,077,439,524,501,503,351,670,316,363,471,070,803,
049,144,136,968,578,215,385,285,107,504,513,716,130,010,435,703,430,122,036,
219,015,112,147,946,260,937,068,335,628,574,729,292,797,244,497,044,815,543,
435,789,277,261,527,849,732,997,524,527,300,594,116,562,856,781,610,688,636,
490,715,569,000,305,591,625,429,326,245,218,901,158,315,791,037,411,622,952,
881,787,807,170,988,324,103,653,538,905,216,607,452,773,484,532,000,534,201,
824,942,281,955,689,527,870,298,775,387,921,774,745,786,476,294,934,122,392,
731,821,853,540,464,372,154,130,524,398,640,339,331,621,486,113,923,845,003,
514,761,872,015,384,200,761,193,983,935,540,604,257,336,169,304,334,084,731,
831,932,338,921,452,474,547,694,660,908,621,514,883,142,525,226,667,501,277,
204,547,221,466,830,668,267,529,413,330,167,467,654,626,722,167,225,409,991,
316,093,197,228,748,016,461,911,032,329,093,652,558,833,062,997,946,157,231,
234,001,412,638,697,543,687,663,296,004,500,661,129,358,872,493,583,119,809,
238,525,525,654,436,699,913,498,902,202,161,094,384,449,114,777,105,564,983,
899,193,771,525,163,926,654,846,747,394,620,751,226,533,968,753,277,311,495,
827,295,567,205,944,232,107,712,482,496,356,568,561,518,446,096,216,447,687,
562,648,284,452,802,638,854,252,577,414,361,303,860,914,960,209,261,009,411,
093,497,018,889,862,632,152,875,658,596,158,528,895,475,733,418,192,690,338,
341,744,862,676,774,064,414,267,675,466,887,145,618,847,673,334,619,250,619,
385,364,433,429,778,851,023,404,776,832,104,906,439,641,223,305,604,300,211,
182,784,706,253,805,979,620,541,099,297,992,259,605,745,026,906,520,298,955,
503,534,739,791,288,336,610,295,403,408,222,609,580,160,421,886,744,943,347,
446,511,013,310,616,760,185,390,252,899,985,640,760,350,298,526,149,433,223,
947,155,240,083,043,880,784,344,632,225,827,413,566,006,486,145,981,376,160,
630,873,146,481,121,108,864,719,630,378,384,365,069,515,152,418,170,679,339,
852,909,692,161,205,492,989,149,543,813,980,734,216,949,582,741,997,368,636,
723,329,776,344,168,666,974,835,701,186,361,685,139,216,350,466,860,486,680,
266,024,825,056,025,961,824,387,631,371,508,111,959,984,310,027,166,150,663,
140,076,297,692,879,808,666,045,264,752,080,177,053,924,783,267,943,054,308,
396,939,116,923,678,871,473,689,678,782,798,045,265,518,058,350,284,353,902,
807,912,610,478,624,677,360,804,182,266,227,450,020,677,724,031,754,831,781,
404,949,413,018,404,198,252,481,696,526,893,773,139,739,644,344,999,627,992,
816,889,583,169,715,975,618,458,937,584,540,432,772,215,307,483,056,337,835,
589,283,928,390,636,971,276,376,083,882,482,424,415,384,715,270,826,413,246,
984,878,939,235,802,068,575,810,354,680,886,793,936,631,365,155,011,666,510,
399,390,259,190,251,366,231,907,702,425,317,373,191,042,520,902,513,467,561,
863,651,485,993,931,514,831,884,964,244,818,307,722,305,235,805,592,861,948,
121,527,205,748,497,844,715,918,854,213,587,312,813,817,582,100,648,852,677,
457,624,345,950,155,851,260,269,345,676,060,342,517,344,532,864,729,962,655,
652,077,766,946,847,306,425,932,203,347,736,181,912,302,063,596,344,723,130,
484,121,834,925,625,667,899,466,200,548,133,867,855,458,102,359,625,942,239,
365,570,287,749,557,578,192,002,383,432,055,846,094,844,219,136,720,644,320,
841,572,558,385,558,528,028,447,656,660,809,854,909,718,634,454,658,658,555,
131,300,431,671,993,974,637,585,599,744,314,599,574,993,794,406,786,989,554,
205,373,344,580,850,355,608,297,323,901,121,491,612,332,195,741,356,938,975,
237,402,845,693,229,736,616,703,903,565,257,924,198,168,761,959,016,160,241,
563,897,983,742,768,488,022,646,903,053,277,928,845,991,569,360,195,179,927,
788,376,451,748,345,547,186,829,067,961,128,477,683,094,774,385,600,521,348,
219,511,904,455,096,647,255,847,346,057,528,212,170,589,387,192,698,313,601,
144,815,920,344,199,528,134,340,202,337,735,447,523,738,618,456,930,270,647,
330,754,229,005,491,379,576,359,924,371,786,839,093,131,778,025,047,091,565,
981,480,021,610,453,588,815,524,028,343,449,814,102,393,225,599,605,234,270,
121,655,478,520,993,366,564,179,378,832,962,451,015,892,066,402,116,364,302,
055,185,652,213,909,094,586,810,385,615,738,454,125,709,938,892,538,541,282,
581,130,144,939,453,745,434,428,519,674,219,293,752,611,966,838,677,916,698,
644,914,888,104,131,660,982,030,913,892,209,857,672,734,457,350,452,088,364,
320,195,055,679,476,831,596,239,368,774,122,377,279,435,391,425,089,109,491,
499,652,784,224,211,890,071,514,738,354,668,598,661,721,605,023,827,611,989,
812,143,149,044,485,896,065,824,937,096,585,299,246,180,951,950,725,297,190,
204,190,654,577,324,613,478,101,930,374,583,086,575,070,982,351,238,207,883,
066,164,956,381,220,286,140,086,736,331,157,003,975,093,336,317,161,809,753,
528,343,162,554,912,741,326,671,531,822,297,758,692,481,217,117,640,974,500,
555,601,103,498,819,605,758,780,336,078,974,663,168,299,476,615,888,838,427,
450,349,733,363,846,641,276,474,596,893,145,418,794,813,227,069,269,522,967,
730,052,705,320,994,664,226,848,856,895,903,176,376,134,914,323,428,558,143,
456,290,824,586,692,507,013,313,383,690,786,670,231,100,217,635,727,610,815,
914,721,079,364,550,617,156,753,568,323,403,191,769,164,641,805,788,940,044,
777,265,614,566,071,841,243,460,020,675,694,538,051,547,731,017,932,812,626,
859,048,437,266,363,119,115,722,586,649,809,286,609,171,973,692,664,479,321,
690,635,080,762,245,543,881,240,781,511,261,776,917,728,526,208,490,777,923,
286,437,345,004,664,215,401,274,832,662,677,178,304,204,456,104,780,119,575,
711,440,773,289,303,634,128,451,364,646,476,074,322,952,023,565,285,551,003,
714,621,999,608,282,877,921,171,014,487,275,700,919,542,715,024,296,198,087,
316,171,215,324,501,789,640,272,971,355,690,554,417,037,401,733,556,139,721,
319,107,098,805,613,284,226,626,098,490,768,032,177,722,568,897,374,729,530,
591,824,160,468,022,102,151,638,585,306,136,497,884,827,610,480,677,671,072,
765,346,629,524,536,788,307,437,579,428,930,075,749,383,738,041,588,164,748,
466,474,167,109,265,489,639,587,136,253,182,725,233,321,774,508,396,093,068,
496,551,077,560,216,215,376,093,351,494,363,448,706,496,075,778,518,186,308,
006,932,062,400,876,323,833,574,506,230,550,540,751,031,631,342,364,962,234,
914,429,223,787,167,468,331,550,061,698,051,354,480,916,173,946,794,850,780,
445,514,344,473,018,693,576,230,171,961,305,801,341,712,115,631,604,710,739,
343,628,035,237,406,797,754,413,234,837,735,322,170,367,886,079,039,306,153,
136,461,197,099,826,661,542,159,560,393,174,014,738,563,876,201,220,079,723,
681,303,935,739,701,787,262,514,234,292,327,823,081,879,867,540,284,452,718,
799,075,402,476,988,298,985,418,842,291,738,743,861,450,339,587,130,746,384,
934,119,243,590,708,708,856,730,463,951,236,710,825,469,394,109,724,306,816,
613,451,929,228,049,463,854,812,332,529,800,892,588,980,644,579,270,828,988,
680,544,495,997,254,913,871,694,487,305,758,614,288,397,040,011,098,435,796,
294,044,767,143,992,939,836,525,225,865,859,364,999,647,610,805,250,462,830,
655,034,457,139,484,793,048,030,050,679,922,088,657,963,427,459,697,038,810,
585,990,906,183,027,719,730,367,633,443,386,953,878,050,635,509,802,874,051,
081,285,700,395,228,710,795,800,053,608,513,453,192,389,153,074,533,220,456,
482,402,541,279,449,905,911,560,856,934,657,917,517,207,225,966,028,136,265,
266,423,528,104,916,196,903,484,285,617,530,959,935,115,971,640,114,114,014,
561,121,997,193,293,947,549,951,511,571,796,002,440,750,169,488,488,024,122,
894,475,060,420,388,936,846,237,092,392,846,116,340,750,554,035,899,767,563,
700,746,621,781,493,591,412,038,835,424,043,779,095,917,690,891,922,973,900,
147,041,664,519,157,875,239,567,123,284,800,429,495,233,337,764,400,366,934,
880,913,032,524,099,791,083,759,644,424,865,791,601,691,534,810,772,606,124,
297,161,538,008,245,106,944,370,471,508,421,914,161,951,749,391,026,448,193,
090,191,092,789,229,721,977,330,441,795,573,285,915,319,736,588,000,764,052,
797,979,012,721,710,332,362,586,704,765,925,576,162,913,665,923,281,898,856,
712,592,833,716,120,067,849,236,211,723,542,819,505,821,093,140,892,350,574,
767,846,184,500,705,752,897,065,080,388,550,764,786,298,302,975,934,939,991,
076,478,680,856,879,698,696,494,558,872,775,791,586,796,720,278,336,190,627,
113,988,830,525,435,875,187,324,837,813,108,586,919,511,117,113,454,343,898,
653,267,962,953,023,269,980,676,978,136,778,576,707,257,793,573,345,257,887,
453,845,483,831,975,228,867,037,320,075,142,798,912,226,236,727,598,738,990,
962,460,871,418,533,129,439,422,908,158,563,529,061,270,994,751,597,033,328,
672,443,100,142,932,399,766,644,094,816,661,917,659,243,317,189,342,438,665,
636,756,583,826,065,337,817,119,431,429,838,828,184,931,779,467,355,305,869,
439,116,068,342,363,547,132,798,396,793,215,492,031,090,758,581,423,132,997,
753,899,726,176,218,225,582,507,200,495,606,099,605,433,546,795,845,068,665,
662,598,710,520,790,919,921,936,768,073,671,113,815,502,032,148,931,865,463,
980,766,107,272,367,538,054,866,034,378,380,579,332,159,172,129,959,802,444,
033,177,606,366,396,242,883,692,900,648,670,641,427,372,631,681,079,115,888,
837,400,023,642,461,720,177,385,604,122,299,574,656,210,782,191,597,490,016,
630,302,633,851,042,556,465,414,091,237,355,482,227,146,900,351,445,612,234,
225,748,442,050,080,956,921,644,364,715,681,783,360,709,350,402,675,680,649,
231,047,234,251,856,176,628,625,054,283,411,078,962,185,216,112,105,883,915,
380,712,900,521,265,824,495,600,973,976,293,338,198,014,123,867,191,619,827,
446,762,127,523,976,126,391,254,643,126,966,456,089,275,308,989,050,147,357,
879,685,513,840,089,770,394,725,683,146,751,400,417,155,048,187,251,946,946,
076,145,472,406,794,556,225,566,781,865,059,894,320,201,711,652,896,671,096,
456,956,191,673,861,252,940,237,576,700,985,779,268,617,182,985,891,268,193,
493,968,834,235,777,634,545,209,503,394,210,086,894,139,353,277,802,278,077,
646,734,286,097,446,133,321,089,654,127,988,698,159,831,323,105,697,062,976,
227,660,699,870,625,709,957,399,127,955,064,891,108,123,510,296,828,309,107,
126,045,831,094,496,674,737,230,385,051,903,626,163,120,452,609,053,161,101,
875,883,198,500,810,812,843,683,904,675,647,760,811,406,478,625,580,489,166,
426,465,664,003,786,448,033,209,086,159,450,903,705,786,070,167,016,438,116,
424,143,711,522,827,959,174,982,752,484,107,237,407,758,873,929,037,781,032,
904,069,988,310,691,064,530,807,512,955,124,382,974,083,281,332,643,512,903,
271,021,378,155,068,085,643,772,987,340,288,512,170,413,269,238,253,808,310,
122,556,726,683,277,600,878,055,923,106,668,622,540,204,932,413,622,365,656,
687,667,470,060,556,506,310,167,770,842,486,286,029,290,873,515,132,627,881,
398,214,794,650,891,054,078,399,607,644,544,627,724,974,436,823,409,683,876,
624,022,100,155,041,565,494,359,022,547,640,822,583,834,454,636,595,683,745,
312,686,187,650,798,016,752,990,615,549,480,321,279,479,589,174,108,346,193,
475,344,450,593,232,461,529,035,205,017,267,337,447,014,421,196,199,706,346,
522,951,043,147,461,114,792,292,247,275,857,567,368,126,050,445,816,273,034,
543,956,949,137,634,939,668,637,879,407,201,534,881,439,976,110,901,624,758,
476,889,975,922,151,402,342,360,674,933,965,152,548,634,375,273,749,549,428,
194,158,117,417,484,494,544,147,061,991,918,173,466,547,269,185,886,317,970,
711,866,121,268,177,311,651,397,742,701,617,514,289,726,721,213,659,538,413,
040,757,731,385,447,430,903,720,499,310,159,352,636,248,446,936,009,183,893,
580,167,590,945,686,815,065,424,498,268,680,754,867,895,428,357,515,742,263,
952,899,403,487,332,830,948,374,276,548,640,922,197,168,882,483,374,168,066,
383,408,537,743,789,511,794,387,451,378,709,978,549,900,124,234,258,411,586,
107,032,371,823,352,868,889,087,537,324,240,627,210,445,435,448,549,139,867,
875,735,829,778,180,814,158,539,974,219,613,536,402,061,636,396,562,087,613,
747,571,542,956,067,569,009,847,017,150,341,699,072,521,622,052,173,546,479,
971,709,890,245,447,753,328,735,955,814,513,133,614,619,226,642,014,451,578,
684,396,983,042,902,075,367,226,364,258,965,874,076,435,376,392,738,314,676,
716,350,865,301,674,871,207,534,472,673,609,380,692,342,692,038,396,052,521,
141,806,693,349,472,007,492,777,739,594,211,946,251,416,588,646,677,499,402,
301,145,915,970,285,098,690,302,164,033,279,231,269,713,158,347,603,372,926,
402,055,239,121,744,004,118,519,927,251,799,934,087,354,230,076,032,417,928,
093,420,168,264,539,735,066,658,014,464,376,101,970,250,785,231,439,513,924,
968,566,214,404,936,726,628,776,206,542,120,818,913,513,034,177,297,645,032,
215,969,359,042,654,327,748,025,882,770,288,318,613,599,873,282,786,206,061,
980,759,630,823,307,379,460,030,910,158,781,444,132,764,742,308,153,054,529,
014,215,096,313,567,855,175,560,753,678,782,900,703,092,784,722,825,418,779,
793,330,411,495,468,533,407,906,711,261,961,921,277,818,359,671,440,878,098,
817,696,992,948,193,093,608,830,903,209,397,535,171,220,873,121,297,166,879,
686,164,382,468,388,477,729,498,144,821,353,186,376,754,471,552,639,073,671,
786,391,755,457,619,060,791,157,253,220,034,838,500,562,847,484,837,873,276,
794,956,077,870,889,467,003,631,015,004,902,199,707,497,927,928,317,273,054,
595,338,574,177,883,068,585,539,663,893,237,687,550,296,782,997,592,302,567,
834,222,266,784,108,453,081,687,900,464,245,017,194,039,337,104,692,437,346,
077,567,790,773,923,739,508,417,381,555,283,803,875,214,181,861,468,053,836,
963,438,806,569,035,405,210,816,326,728,157,141,771,217,475,852,481,743,250,
488,258,243,170,277,119,598,221,374,140,033,161,825,025,530,941,157,761,045,
272,998,270,356,604,691,557,440,506,225,824,156,414,275,923,461,409,670,443,
718,997,173,364,825,918,818,420,227,802,337,566,563,004,117,883,658,252,670,
720,553,233,271,933,436,200,738,269,020,064,002,502,088,043,023,701,133,472,
451,253,423,167,401,560,850,190,650,228,841,098,501,394,973,054,909,206,919,
456,636,927,538,290,427,744,148,574,842,192,362,539,881,905,182,528,215,689,
445,759,537,291,180,520,813,381,332,400,248,921,080,748,405,068,871,442,887,
004,258,376,991,741,654,860,382,374,881,943,004,729,419,946,124,003,773,746,
644,323,341,220,796,948,549,819,560,127,573,116,213,229,558,288,174,914,054,
164,345,702,896,912,562,439,528,263,947,546,952,285,770,337,650,802,421,331,
181,454,510,405,729,196,656,787,480,801,827,967,679,316,100,683,732,618,059,
269,040,722,319,494,237,545,377,797,307,777,248,855,244,513,459,025,520,289,
057,784,016,514,522,988,565,158,399,482,914,153,824,054,927,360,584,257,879,
698,297,200,565,664,941,423,152,452,915,790,998,195,867,896,423,841,490,534,
407,733,494,538,448,519,709,201,532,802,997,525,862,878,865,004,443,708,199,
563,292,652,502,751,860,767,569,892,480,172,908,147,981,111,646,280,907,569,
803,972,833,313,656,696,158,343,432,918,015,638,509,474,587,144,921,442,534,
487,923,141,995,294,063,039,441,478,799,054,718,653,076,821,706,800,152,566,
309,314,477,746,901,836,969,704,088,682,927,877,985,028,522,958,365,593,030,
167,432,994,709,376,277,511,914,291,437,692,415,758,206,830,487,233,060,129,
054,598,801,377,346,829,745,278,055,955,646,573,725,067,744,237,378,513,208,
212,909,545,448,740,144,019,323,909,700,343,002,881,432,757,035,408,099,774,
196,332,086,852,238,835,165,300,717,369,387,104,035,011,112,572,662,744,417,
028,107,888,374,256,878,142,465,553,239,435,848,230,428,557,032,436,853,726,
047,368,735,358,696,132,015,816,227,655,833,135,991,270,795,097,742,565,096,
982,273,451,976,708,049,468,145,629,103,308,862,128,901,375,107,219,918,808,
596,017,560,555,980,633,845,302,329,750,415,428,720,484,551,021,123,870,337,
986,578,684,992,947,153,062,398,350,614,941,794,314,626,274,314,702,740,206,
884,996,290,850,880,200,363,354,717,531,558,233,986,146,075,094,724,426,834,
252,309,194,719,684,565,848,468,814,378,741,745,906,895,996,210,942,249,175,
599,488,213,459,094,976,517,146,174,098,901,519,057,603,906,529,662,517,600,
827,003,767,147,987,529,265,166,804,970,577,188,036,790,139,222,730,324,970,
786,885,610,070,241,387,472,216,261,125,806,607,409,390,750,235,877,812,725,
749,225,352,943,445,041,064,211,569,099,558,445,348,637,560,969,048,587,275,
825,206,726,127,362,647,010,241,865,041,519,822,388,201,970,444,920,372,188,
051,905,934,889,032,455,237,445,174,315,495,096,678,412,975,352,652,128,795,
000,239,789,960,387,939,404,817,156,164,263,653,579,374,258,812,312,443,644,
725,934,256,262,513,867,139,679,880,164,984,638,664,552,309,888,503,574,957,
624,402,281,647,723,205,828,944,047,632,683,652,914,942,899,081,185,515,628,
038,233,470,922,430,956,331,487,782,296,651,764,923,845,815,868,633,948,096,
408,227,206,629,835,777,452,839,724,938,896,677,966,944,897,475,626,466,916,
498,258,208,395,255,040,379,716,929,330,134,040,041,326,138,174,586,477,421,
263,873,051,956,285,182,864,444,036,102,436,367,269,619,612,583,262,876,917,
246,307,964,512,960,232,743,570,776,967,238,628,734,610,596,728,017,963,984,
399,096,970,525,098,496,613,735,856,483,227,168,832,291,825,462,474,921,317,
612,923,330,155,025,835,963,824,877,099,655,912,888,511,066,005,602,304,909,
778,474,365,280,246,953,162,219,187,653,327,809,059,581,699,480,670,969,571,
009,312,209,866,324,935,071,803,044,482,054,396,210,910,807,011,612,409,659,
845,126,538,271,944,425,700,936,502,817,240,501,657,201,993,701,175,054,368,
829,052,214,557,225,318,371,169,349,203,744,192,593,798,965,955,006,932,777,
988,971,155,285,812,940,583,665,942,489,992,680,426,183,794,413,665,386,789,
293,711,052,813,996,696,691,797,139,294,792,005,740,021,988,806,459,787,120,
892,112,216,325,632,398,884,352,400,933,900,620,342,980,042,798,349,150,461,
249,429,364,735,524,413,344,377,857,541,198,848,712,737,996,092,539,932,505,
792,452,244,686,577,941,170,808,667,244,750,254,295,633,924,020,342,186,557,
654,801,575,070,663,190,609,966,984,606,158,111,130,712,440,808,199,763,219,
233,090,648,852,304,428,147,770,489,683,321,855,029,316,963,545,760,789,392,
659,238,531,664,903,657,730,570,252,398,615,925,761,043,802,509,062,248,121,
673,345,206,239,611,690,808,718,631,287,742,483,037,224,442,834,542,934,432,
319,708,173,519,547,943,245,013,226,220,644,627,293,465,381,908,001,002,357,
105,142,072,255,941,055,242,483,219,509,016,348,910,756,263,031,346,271,076,
007,400,389,046,778,860,969,415,780,722,178,447,843,415,992,570,763,192,434,
661,247,629,516,209,176,567,608,840,528,322,452,843,457,324,794,645,761,005,
111,169,489,597,192,897,101,891,379,692,042,917,417,579,750,883,604,918,704,
378,605,740,108,156,084,993,471,639,512,097,649,116,161,916,850,204,170,203,
324,512,668,989,519,606,068,403,378,130,694,704,346,576,639,285,935,992,746,
925,992,830,060,048,677,228,447,847,904,855,772,076,466,867,423,023,413,187,
533,925,137,658,134,590,987,986,926,718,709,288,524,922,789,580,849,535,826,
710,226,214,501,580,319,487,567,691,400,448,823,519,246,559,877,779,689,929,
214,691,965,825,120,985,812,996,881,623,774,907,779,875,407,819,804,163,878,
802,789,561,996,382,267,965,713,365,045,459,714,059,774,073,022,026,312,984,
872,096,042,307,590,359,557,864,471,964,836,641,347,309,229,495,528,319,495,
469,515,600,202,065,012,277,266,582,988,136,784,793,839,566,095,372,985,329,
596,517,763,432,335,683,942,480,665,120,472,478,337,932,294,022,754,087,854,
660,544,038,192,070,344,561,913,273,881,429,612,077,002,009,726,907,746,742,
309,255,904,892,838,563,513,736,569,025,250,285,583,305,250,222,492,304,014,
998,346,645,339,020,119,993,548,361,187,486,298,308,566,459,182,489,481,673,
691,512,993,748,434,140,386,277,671,024,035,789,470,126,631,739,208,300,022,
948,808,049,178,026,416,488,205,903,198,350,790,891,774,786,364,816,095,387,
362,516,877,057,845,821,851,750,176,443,743,318,565,246,889,600,445,878,882,
956,909,711,601,610,287,876,813,092,386,129,036,296,593,722,790,359,429,653,
746,221,251,810,239,942,303,988,107,355,124,274,020,715,863,053,170,533,408,
761,495,841,803,477,332,202,656,168,707,480,744,690,716,532,360,472,355,871,
451,329,090,409,297,142,955,780,509,390,879,056,540,660,650,348,818,533,920,
791,471,868,925,000,295,174,965,550,978,703,983,842,728,315,338,300,238,142,
407,474,831,549,983,916,117,615,012,564,234,327,639,341,763,947,389,854,926,
542,221,520,281,368,853,718,773,165,442,631,520,205,417,249,902,259,900,791,
330,903,912,846,640,663,578,664,361,368,361,828,853,382,040,192,228,156,381,
184,155,805,367,955,954,451,932,984,883,872,135,853,508,392,670,728,539,195,
799,339,732,952,276,481,147,333,176,317,877,956,687,129,169,322,505,742,676,
538,084,459,741,394,005,809,882,923,429,527,158,119,572,099,578,824,186,083,
168,873,161,745,655,085,139,499,658,702,784,888,561,445,969,143,774,053,212,
474,973,197,867,737,772,480,515,339,903,276,653,344,256,565,327,568,582,935,
748,161,734,752,420,219,392,079,503,930,819,414,460,673,290,673,215,557,696,
340,711,904,089,673,441,420,451,419,884,311,265,313,393,564,638,145,086,218,
834,763,032,477,645,163,833,476,029,756,941,976,924,112,040,836,228,148,158,
187,694,338,289,862,846,912,933,920,626,738,881,092,992,590,098,624,415,177,
307,268,940,032,490,046,627,069,436,049,117,502,745,078,211,289,258,195,054,
331,661,162,303,292,356,680,839,448,062,821,717,027,174,656,301,322,642,111,
020,845,702,569,027,132,884,651,438,498,055,118,078,456,374,468,148,517,107,
228,371,757,882,820,664,843,522,878,241,462,491,445,018,850,131,078,732,083,
367,339,327,521,227,412,481,447,952,598,929,133,453,562,785,726,019,375,837,
397,639,088,580,487,350,712,113,031,594,964,496,676,274,854,354,762,438,162,
585,289,241,999,461,953,267,326,798,183,511,711,167,656,324,010,533,808,524,
923,439,913,933,382,509,051,374,360,518,075,255,315,156,784,364,823,199,814,
835,186,362,765,053,982,823,305,692,657,181,880,442,434,183,089,696,311,313,
330,623,143,449,724,996,131,884,902,204,605,535,969,769,639,030,776,387,950,
464,638,730,456,408,081,835,328,300,587,589,366,112,488,081,218,154,719,381,
345,910,579,611,544,798,073,172,646,025,985,615,295,837,314,457,315,600,536,
425,441,453,566,846,190,035,344,406,127,712,591,217,941,071,370,575,993,495,
522,972,099,419,116,104,378,865,185,525,610,815,082,803,187,701,258,894,834,
426,359,864,807,000,722,312,180,093,283,337,425,345,404,906,872,033,214,837,
499,184,814,802,460,480,750,463,898,943,640,938,479,652,734,366,244,391,084,
461,978,727,101,261,070,570,411,176,102,206,311,418,719,083,189,861,017,355,
950,491,904,814,169,673,591,976,334,902,777,823,031,379,528,473,068,170,028,
919,490,244,445,818,711,037,284,221,893,872,950,221,853,081,925,493,296,370,
169,348,282,000,306,145,000,571,951,304,861,489,445,683,294,940,163,301,311,
484,092,575,136,313,449,690,348,144,249,874,735,425,609,563,837,538,723,147,
764,072,358,629,781,278,501,541,225,049,896,799,002,649,549,350,414,472,574,
976,470,169,277,883,632,785,531,119,252,746,530,125,738,616,714,966,562,045,
941,209,696,136,783,761,859,136,766,215,941,660,969,408,880,716,901,198,179,
073,935,437,364,810,262,593,253,499,546,055,008,866,320,244,720,529,828,388,
550,992,191,109,969,429,140,607,450,355,015,759,199,367,018,969,284,505,050,
597,200,415,150,761,410,448,179,805,189,642,160,266,095,893,331,861,663,929,
775,628,983,932,667,517,930,942,134,225,094,973,332,925,073,408,288,800,483,
588,724,460,993,194,801,771,071,574,368,141,264,993,909,472,809,660,315,592,
914,614,211,788,593,395,868,017,983,254,055,895,470,872,161,881,317,104,566,
941,751,111,828,979,624,034,708,282,767,690,892,163,503,750,777,237,435,026,
488,126,178,347,535,462,924,350,700,169,086,702,486,977,320,767,628,622,309,
850,486,070,492,502,328,567,103,660,250,097,103,037,009,450,873,411,916,608,
274,876,955,186,715,742,628,060,961,325,144,272,020,779,860,776,439,211,600,
055,941,622,757,190,989,273,602,148,435,292,938,199,273,027,363,878,423,791,
419,820,119,943,054,390,812,213,485,064,661,292,840,594,782,494,619,946,576,
489,869,795,899,670,310,518,755,466,417,549,176,017,620,132,613,028,151,138,
199,223,522,685,406,811,402,455,077,476,881,882,579,175,069,656,562,067,465,
706,289,208,591,233,483,070,022,329,647,488,933,052,309,596,875,508,706,148,
512,840,737,446,676,906,932,141,017,850,642,737,266,294,710,177,623,975,404,
184,201,806,456,025,224,055,456,895,132,620,174,746,051,468,289,045,750,264,
071,756,681,800,652,925,665,200,880,587,711,689,411,262,626,504,236,618,458,
357,730,055,514,416,468,532,623,137,363,138,438,119,777,880,402,020,389,689,
788,607,849,105,648,089,043,484,368,599,265,410,941,360,082,629,280,590,578,
606,225,672,551,231,754,123,791,223,790,237,001,398,541,374,947,502,699,445,
993,907,450,421,717,788,174,701,930,441,555,090,673,325,580,597,833,055,491,
169,690,151,972,000,874,173,857,643,393,208,528,425,958,424,666,100,363,837,
742,162,213,837,864,381,111,194,320,697,822,476,771,905,357,797,302,704,632,
926,395,691,352,852,090,624,356,808,033,038,412,353,590,213,348,547,477,641,
211,945,912,569,024,803,291,463,956,063,601,394,855,382,179,344,184,024,981,
911,012,459,205,331,004,780,232,682,800,297,822,749,978,714,037,259,917,016,
267,062,659,302,221,112,629,038,696,326,728,324,128,853,925,512,273,166,191,
263,318,834,093,690,954,257,550,438,625,009,189,289,037,569,703,995,978,070,
402,250,717,701,156,610,545,237,057,151,624,703,404,816,594,596,536,244,262,
553,287,308,401,394,537,153,424,240,304,986,659,522,863,806,965,872,152,438,
201,684,458,334,570,870,586,362,187,048,676,534,455,682,186,696,515,470,830,
994,280,548,996,403,221,806,191,950,913,231,991,637,025,326,480,893,997,513,
803,680,314,543,240,218,141,844,181,797,194,049,450,059,021,067,369,424,216,
781,834,603,930,639,113,522,849,375,400,661,586,728,694,337,196,864,722,161,
998,713,559,497,026,841,459,093,118,062,155,893,486,791,783,253,610,371,010,
079,121,529,588,338,418,235,472,577,871,185,201,807,223,256,019,722,174,410,
700,531,803,071,909,814,281,770,489,531,032,447,703,839,546,754,270,521,625,
613,781,343,932,998,947,035,177,623,816,428,027,272,719,486,481,663,199,252,
876,772,455,543,610,676,015,924,401,271,647,414,983,469,251,051,721,644,620,
114,121,476,158,576,900,839,770,320,475,600,556,904,984,402,087,542,303,163,
625,839,258,413,103,479,898,447,656,972,471,179,136,521,005,504,930,796,724,
658,284,570,134,782,210,595,305,413,310,965,494,757,538,941,206,926,609,578,
602,817,024,197,366,746,627,718,718,848,739,361,589,700,440,832,597,370,194,
926,501,376,749,898,612,434,171,317,894,135,943,416,572,133,389,984,679,056,
245,547,706,356,694,796,322,660,157,025,012,364,891,325,350,560,325,710,463,
971,273,318,272,797,320,714,771,300,960,556,167,794,615,235,835,277,792,084,
775,082,822,500,160,559,804,758,949,583,891,222,729,944,477,695,715,745,967,
073,938,177,016,879,569,670,742,207,285,401,281,913,162,828,760,436,382,280,
156,537,150,040,823,566,110,153,002,371,164,848,359,380,293,450,897,247,415,
620,451,186,996,276,851,396,578,369,429,747,531,660,794,362,387,228,563,434,
774,059,624,966,934,755,083,436,820,631,494,838,942,467,384,324,457,933,677,
696,374,293,988,334,818,268,811,437,597,397,600,448,756,391,931,384,952,449,
022,533,158,149,837,499,159,925,875,862,148,112,536,162,472,637,958,776,470,
440,549,085,699,413,067,239,752,733,444,875,268,860,816,657,694,448,614,464,
598,234,907,440,060,774,742,503,235,603,201,105,367,351,683,370,727,840,446,
004,257,715,397,909,669,790,757,262,630,346,978,836,990,173,220,260,876,446,
387,831,760,074,141,448,238,766,738,534,373,030,954,560,435,090,106,486,551,
145,507,899,676,179,363,508,273,406,287,842,224,697,412,968,334,697,985,237,
172,776,470,019,863,351,096,950,929,774,742,159,639,549,009,901,155,276,213,
353,823,915,329,009,576,054,388,092,710,792,746,694,839,700,953,273,367,429,
750,816,949,155,205,641,631,606,879,283,060,096,728,801,713,059,333,238,281,
652,074,077,188,816,607,253,893,216,840,705,483,322,538,776,233,070,012,679,
102,212,327,000,165,144,290,853,111,353,759,170,349,702,962,282,163,622,594,
960,153,216,851,714,872,493,817,952,871,050,448,176,040,021,954,646,980,452,
585,804,812,365,758,392,863,092,953,832,610,263,598,138,489,860,220,434,721,
476,907,560,970,383,695,769,158,858,998,028,689,245,153,093,304,054,067,348,
939,405,816,505,485,120,176,006,702,753,482,139,363,272,611,675,365,181,790,
929,592,819,864,595,164,484,868,121,035,160,147,823,015,339,626,996,419,809,
621,620,130,661,320,501,672,119,864,189,445,149,297,757,842,758,027,063,117,
607,862,528,116,425,444,789,261,248,549,690,390,055,029,773,247,576,597,215,
545,041,657,292,139,966,882,518,014,266,658,955,008,290,483,144,057,453,556,
143,686,130,049,837,123,250,199,941,365,254,293,049,353,805,662,461,077,267,
200,174,636,301,103,616,776,580,652,834,109,332,509,705,239,300,711,066,954,
284,854,143,224,879,147,117,319,116,246,826,898,790,580,149,818,061,667,825,
884,580,954,787,972,343,484,283,697,616,260,426,629,424,911,938,183,748,995,
416,592,632,000,831,380,460,581,755,065,346,047,521,404,587,018,366,493,039,
248,308,884,498,389,725,170,545,049,228,199,331,478,678,822,225,581,684,617,
955,432,164,886,704,143,248,369,305,722,625,531,664,898,489,711,189,577,059,
916,893,878,833,593,141,022,002,101,286,689,084,919,810,743,727,172,159,199,
914,134,173,147,951,829,432,240,757,907,981,352,188,868,215,286,237,329,630,
991,407,047,278,405,873,406,744,131,531,628,148,314,464,507,422,683,802,711,
821,716,831,435,210,793,296,454,946,909,456,984,503,949,409,025,054,858,750,
749,837,286,025,217,121,057,716,242,941,860,490,408,515,234,865,640,570,116,
383,791,087,890,489,929,264,502,236,077,441,589,080,948,148,467,251,870,455,
065,974,418,196,863,168,388,721,374,518,195,234,393,828,765,525,711,596,677,
810,514,831,038,069,659,208,622,207,343,367,946,633,517,854,449,844,592,959,
526,220,425,752,609,742,668,248,994,567,941,361,381,143,149,665,202,408,872,
361,199,977,750,654,629,986,479,095,359,273,128,943,555,988,973,131,524,117,
176,960,962,688,352,173,881,409,082,042,689,357,386,638,059,083,998,152,483,
618,524,134,132,364,060,677,064,276,270,236,768,714,314,296,005,229,632,168,
636,802,171,762,652,336,609,577,736,684,394,541,649,807,640,299,636,657,916,
329,889,626,098,299,182,759,903,951,312,829,438,995,112,499,888,608,051,914,
065,111,769,452,181,001,841,899,911,156,621,894,458,743,696,072,537,495,030,
155,438,518,466,172,051,836,576,701,041,105,854,410,197,066,000,143,384,164,
473,649,765,335,995,469,786,839,337,972,142,127,342,094,297,132,321,897,589,
414,460,893,618,283,268,769,680,499,809,240,227,598,239,885,165,756,892,243,
493,658,097,762,383,992,726,527,361,358,886,666,186,747,794,911,116,756,509,
889,484,135,217,310,012,559,130,641,473,405,377,309,227,370,597,456,815,156,
633,770,121,545,447,201,624,854,070,992,869,138,433,703,747,675,904,553,849,
289,380,847,297,845,064,458,204,982,681,545,669,338,246,614,606,942,518,080,
254,541,163,391,075,530,575,521,836,060,306,446,171,001,747,314,248,135,054,
468,193,999,644,839,462,450,686,825,186,594,886,975,728,982,181,425,192,125,
091,393,597,162,476,802,032,494,829,226,267,857,120,269,124,776,167,733,858,
688,802,776,157,755,865,945,464,988,863,829,720,370,755,289,829,852,636,479,
727,022,322,043,273,880,417,483,082,657,976,445,214,357,061,427,448,126,054,
519,162,825,181,568,795,690,986,846,928,976,889,016,271,883,822,526,839,786,
126,272,371,553,287,777,818,705,933,014,139,586,884,161,800,054,163,585,002,
927,344,592,833,479,694,928,907,837,511,224,844,307,956,879,303,077,020,479,
450,367,108,753,264,513,768,411,396,086,165,283,240,636,357,827,248,784,374,
444,003,002,934,794,893,575,511,802,813,734,315,707,267,770,014,816,063,596,
935,721,322,090,597,160,899,797,308,051,493,336,125,826,602,850,824,166,109,
613,346,912,909,751,012,976,215,162,195,096,178,564,762,852,587,309,009,361,
045,579,176,275,363,916,432,113,884,309,246,269,721,689,612,554,659,322,616,
409,974,854,616,203,029,128,432,007,155,407,927,431,125,988,525,699,818,984,
521,129,678,511,928,032,446,690,259,705,169,100,191,241,212,013,651,491,791,
490,625,692,907,500,738,788,527,688,029,068,356,436,446,611,942,241,973,779,
915,799,734,853,478,014,948,519,879,943,450,469,880,587,672,724,996,995,641,
520,249,372,798,694,790,544,666,037,476,384,440,567,947,487,653,765,521,781,
320,948,572,003,224,290,642,353,165,402,606,169,860,770,741,204,300,094,180,
066,885,724,170,728,069,655,473,153,922,661,321,750,192,280,333,619,729,861,
734,598,343,331,765,479,718,681,644,099,065,449,147,262,302,181,147,570,150,
439,625,947,292,976,718,653,208,854,056,862,252,098,154,420,616,398,794,848,
705,554,513,914,895,084,201,500,162,939,183,443,884,700,927,129,841,531,197,
652,985,385,635,677,021,781,501,858,819,985,207,466,276,231,403,108,871,031,
646,147,197,715,512,613,484,524,848,781,837,769,781,928,161,866,569,175,515,
863,216,511,890,993,020,408,219,393,406,185,235,517,539,871,605,853,421,216,
855,478,661,373,926,934,169,205,353,003,059,492,129,384,163,120,787,539,687,
426,168,369,821,629,186,672,668,479,307,703,724,542,143,412,019,888,690,770,
599,126,664,617,909,487,756,446,218,830,299,974,358,798,365,851,038,304,835,
940,746,423,775,277,904,510,156,902,748,488,825,044,248,123,360,012,815,859,
517,828,910,949,894,181,377,474,592,004,646,022,292,989,204,435,521,880,317,
929,367,438,144,947,142,469,064,042,962,235,368,406,682,469,450,078,594,063,
133,049,730,749,488,335,320,981,999,205,488,004,777,999,872,631,021,136,276,
171,543,361,847,175,860,298,260,436,800,932,620,595,556,388,148,058,792,079,
361,308,666,038,229,611,186,906,569,998,114,186,461,810,789,190,974,535,254,
200,622,577,947,235,471,151,104,381,699,014,386,471,631,052,739,842,567,840,
788,187,528,645,176,788,657,296,919,409,185,763,254,449,730,189,341,721,602,
826,368,281,917,783,802,425,983,656,007,704,107,854,487,995,775,515,113,891,
368,379,865,241,957,390,630,138,390,903,359,743,631,595,164,914,154,513,288,
517,490,224,735,199,822,109,314,061,115,580,232,874,931,022,989,208,642,557,
219,542,273,114,610,689,296,858,792,049,372,230,366,496,288,661,488,699,940,
767,147,535,487,525,381,153,835,620,843,311,264,592,746,566,079,000,667,330,
865,644,532,871,181,467,331,326,558,908,377,316,889,231,574,520,089,619,446,
990,581,595,285,142,944,788,209,980,821,306,627,159,048,786,699,814,630,402,
447,030,334,308,970,429,442,233,309,923,008,364,532,354,088,933,169,553,175,
930,667,660,401,056,463,897,201,451,536,324,581,270,433,239,879,724,264,463,
909,674,253,016,098,853,548,836,754,052,401,191,783,356,806,065,048,742,351,
383,627,265,277,850,648,578,272,055,156,131,568,891,095,154,745,668,548,393,
855,498,978,462,826,612,030,342,096,166,884,887,748,635,497,249,243,355,038,
449,823,537,183,635,803,169,385,097,204,435,810,233,577,640,483,841,791,835,
838,726,589,133,347,884,024,607,281,195,189,514,635,224,233,686,810,896,621,
100,385,829,244,005,685,184,474,728,991,094,833,590,996,596,997,930,711,405,
215,705,483,519,845,123,912,575,252,065,573,398,123,711,629,777,759,335,373,
312,512,360,534,486,719,377,999,991,590,035,624,947,370,294,871,141,657,598,
103,210,814,349,522,062,868,209,123,228,651,454,662,915,028,306,988,491,806,
420,696,812,829,156,242,549,906,467,412,511,957,664,944,835,559,334,723,525,
638,325,398,168,102,001,752,074,995,015,634,668,442,777,919,772,270,224,996,
420,923,021,207,291,964,167,963,008,719,123,984,894,718,605,422,192,538,980,
248,269,243,734,548,488,417,927,175,627,849,603,606,530,684,678,754,512,758,
000,801,237,706,616,261,507,867,043,679,088,033,055,047,642,940,004,015,751,
081,573,742,236,761,166,294,364,531,836,853,756,375,450,423,237,221,387,533,
698,854,296,730,627,660,081,862,903,311,087,423,737,807,919,662,925,691,446,
682,728,315,180,706,984,501,320,309,721,435,584,280,655,719,864,346,595,253,
050,594,729,979,233,584,532,861,283,001,046,789,520,801,942,459,014,071,199,
719,996,002,776,020,473,790,983,610,848,489,116,890,374,611,126,650,411,993,
287,051,174,072,064,168,935,314,791,739,136,446,840,619,417,349,942,823,703,
732,441,587,292,756,152,791,193,706,242,280,576,103,080,955,679,072,298,063,
163,984,524,898,454,067,090,802,341,224,303,326,942,038,846,254,770,285,082,
132,545,121,266,691,477,712,975,410,022,652,358,446,258,288,597,858,288,672,
182,937,591,439,986,836,151,417,757,307,709,075,716,607,980,410,827,541,916,
261,396,136,448,761,592,303,799,660,090,364,272,346,412,809,094,808,024,972,
689,041,945,408,762,215,332,241,913,484,947,521,446,791,293,788,814,286,901,
912,483,184,810,261,273,139,719,802,545,926,358,249,666,893,939,604,482,965,
130,134,466,279,719,651,909,849,041,829,071,234,102,913,974,065,610,861,880,
524,360,276,199,290,756,249,735,860,871,191,458,800,990,357,557,848,804,500,
780,210,934,514,018,169,051,962,331,522,870,992,895,525,470,938,840,929,438,
415,699,847,523,800,010,256,006,078,416,985,055,360,559,511,421,028,188,528,
280,331,665,143,130,773,848,947,364,199,869,193,025,639,194,697,543,841,424,
906,478,156,164,106,376,305,479,516,498,335,338,319,601,910,868,412,560,628,
933,109,076,071,480,807,144,970,909,588,201,539,795,715,296,555,857,583,739,
946,098,831,465,560,462,991,505,996,382,552,461,691,501,525,935,178,336,699,
834,986,382,014,431,879,459,893,754,756,664,147,767,935,231,301,775,961,129,
149,731,662,200,012,659,566,059,362,703,279,345,086,940,002,000,603,103,981,
181,074,931,295,993,583,546,535,796,490,141,833,819,300,909,145,647,070,746,
333,113,673,926,562,894,900,284,854,987,316,644,921,140,672,706,269,541,745,
336,560,975,916,935,216,932,086,659,639,128,448,318,983,045,565,272,833,648,
658,781,151,425,006,251,620,210,687,877,359,683,488,039,144,445,538,213,388,
215,670,287,241,438,781,454,897,134,631,716,786,247,504,692,450,678,841,202,
228,779,573,663,594,763,947,322,884,190,401,435,898,654,152,828,984,137,628,
252,568,208,289,134,747,012,190,708,449,633,412,289,709,016,987,819,147,032,
585,169,878,535,137,904,397,610,975,691,407,679,568,193,989,078,264,280,594,
725,606,175,763,976,519,887,149,414,002,842,228,907,435,594,661,889,989,265,
023,458,805,164,535,031,467,587,642,186,350,475,927,390,477,634,105,556,324,
787,140,345,058,190,437,969,929,633,957,056,898,449,728,715,995,495,830,060,
727,505,825,885,720,867,757,548,546,203,242,967,282,667,453,916,927,111,599,
865,740,834,654,786,272,692,793,122,486,911,871,378,231,296,676,827,624,284,
287,392,791,926,651,067,648,746,871,680,985,356,226,232,328,138,840,970,816,
779,870,885,732,886,137,955,740,378,315,545,904,539,502,454,248,313,591,288,
232,061,352,093,384,448,778,407,620,306,716,656,036,269,390,410,272,823,409,
326,859,743,818,714,008,533,195,844,341,778,230,049,976,315,852,238,501,301,
097,176,055,693,168,172,403,461,845,266,584,015,790,573,602,238,909,976,518,
361,347,783,742,986,280,126,955,014,252,552,646,769,735,629,102,258,590,596,
275,372,593,865,069,981,354,515,055,184,635,948,691,105,053,647,876,971,740,
222,470,017,066,939,775,957,734,293,308,908,346,581,149,358,355,596,894,502,
124,851,453,216,680,429,294,252,378,001,776,711,650,933,809,527,421,948,166,
601,313,483,007,793,156,010,136,991,146,295,533,313,660,464,874,320,169,102,
978,122,497,800,908,131,708,640,363,863,356,293,899,809,318,856,838,070,437,
915,859,079,611,696,116,499,716,366,441,210,862,251,784,690,223,503,172,698,
821,841,014,422,239,906,380,349,819,543,951,711,286,619,669,331,327,230,024,
248,874,262,773,246,988,934,132,378,291,589,309,510,574,482,592,179,543,853,
505,298,955,400,848,187,627,703,832,017,559,514,649,771,433,020,257,455,383,
964,900,356,801,525,759,247,121,097,841,238,019,235,794,309,147,905,139,009,
487,654,073,942,173,670,774,345,697,948,218,859,511,879,195,381,352,498,818,
939,155,660,908,502,386,442,991,052,249,913,899,776,747,900,258,773,365,079,
217,360,756,146,545,569,526,782,572,994,601,230,541,072,750,858,380,292,239,
868,573,706,393,198,282,853,205,353,790,054,617,921,178,397,503,028,769,161,
574,573,255,669,571,807,316,728,218,825,613,011,523,534,922,646,522,765,819,
023,614,538,552,358,262,237,162,172,190,401,603,530,864,218,902,657,811,311,
178,695,761,569,643,655,945,420,083,942,603,528,477,378,948,644,417,352,641,
272,727,121,786,770,567,054,089,148,455,260,958,125,908,899,597,944,172,927,
514,840,926,973,872,602,223,945,194,415,101,953,926,841,288,096,247,025,644,
471,330,966,207,888,200,681,164,697,195,460,241,330,562,334,456,002,698,912,
647,379,052,384,583,253,169,946,538,767,094,181,411,896,305,049,882,277,596,
483,406,011,190,048,453,767,786,914,275,816,476,305,811,117,022,741,239,691,
045,611,854,577,703,649,666,134,293,285,382,554,553,110,214,757,685,068,158,
557,920,258,370,204,241,245,188,136,095,459,617,061,030,372,969,374,098,470,
655,186,392,426,717,618,210,416,366,549,122,557,693,596,020,224,202,176,073,
098,323,489,854,367,176,878,330,616,174,566,967,616,730,288,827,703,932,955,
316,617,007,994,878,770,766,403,507,357,929,835,686,945,342,668,120,567,207,
981,834,941,593,698,388,619,257,343,456,089,380,178,841,687,569,365,232,326,
707,823,007,698,717,195,170,158,922,673,696,439,804,249,456,104,045,014,374,
026,907,809,393,308,530,458,091,127,114,588,274,861,745,450,667,790,206,483,
004,144,958,100,127,068,606,511,701,067,358,173,632,300,923,690,477,529,160,
751,625,488,869,715,578,486,470,802,064,971,890,312,134,389,083,136,811,213,
752,341,606,347,485,982,378,821,559,456,301,140,414,066,445,745,176,059,787,
199,642,434,267,738,412,808,479,473,602,658,223,912,607,167,128,914,275,954,
126,759,915,297,897,212,017,538,830,267,258,848,052,758,568,620,060,922,204,
303,969,022,153,620,136,511,242,755,992,655,175,034,681,568,994,242,365,787,
802,995,599,639,230,700,508,672,681,537,366,084,185,506,171,092,277,263,510,
577,510,513,148,234,107,420,665,231,663,578,079,705,198,478,824,616,096,349,
476,305,656,717,401,736,527,226,295,671,407,190,457,533,450,217,162,152,899,
672,758,157,277,527,237,463,201,912,079,667,522,993,922,583,996,131,544,848,
233,397,978,881,922,499,196,520,216,478,647,926,753,758,627,843,728,712,655,
406,024,780,740,279,588,240,769,302,514,841,424,398,527,041,994,044,129,991,
505,289,717,486,562,986,923,058,406,677,542,993,545,961,627,227,278,892,616,
804,486,127,393,325,630,185,855,880,090,187,170,275,409,127,127,285,628,142,
661,595,318,050,163,263,099,548,113,418,193,137,028,221,167,854,561,725,555,
094,069,364,306,599,951,864,258,459,606,044,256,534,667,861,838,507,144,259,
676,155,181,968,368,713,892,610,921,932,431,929,260,141,948,400,280,127,479,
846,297,019,342,902,122,493,661,762,532,198,451,836,052,963,292,415,884,064,
596,940,711,384,835,642,490,686,975,943,015,912,489,872,726,268,692,539,759,
879,984,493,975,527,423,615,333,454,303,554,662,423,990,529,833,619,659,665,
241,919,795,652,768,586,110,199,713,636,335,724,516,110,365,200,585,867,824,
796,940,153,569,134,835,624,419,589,483,144,259,594,518,617,941,690,123,794,
813,013,546,834,726,309,898,448,607,397,271,686,947,114,266,413,528,729,385,
894,811,739,169,566,037,228,336,716,904,148,666,448,930,800,007,875,397,540,
705,765,018,222,976,456,550,648,855,609,578,662,714,715,703,139,769,202,932,
563,937,995,844,140,840,391,799,300,496,766,902,405,017,214,175,295,565,251,
035,076,665,754,992,360,893,683,373,245,353,526,533,079,534,947,718,045,582,
207,058,695,724,036,817,378,416,803,886,160,142,434,275,259,926,986,016,935,
241,066,334,278,188,402,598,234,602,384,537,173,389,864,571,674,057,557,296,
744,035,188,373,054,705,682,028,311,014,168,897,914,228,609,134,267,679,723,
317,393,350,584,428,286,930,011,038,425,637,857,619,764,410,794,387,879,095,
431,188,122,410,857,824,756,530,165,960,024,201,102,839,959,547,645,724,749,
904,797,091,359,077,265,507,158,458,351,626,839,258,463,285,302,172,694,106,
026,277,938,331,274,757,954,292,525,311,385,044,299,734,948,333,118,596,197,
613,895,243,854,037,497,328,914,660,019,496,961,807,098,708,356,661,900,144,
027,326,766,990,065,225,046,950,367,703,098,492,851,611,131,635,773,306,096,
184,634,163,709,326,006,104,160,616,701,305,554,807,693,173,371,363,508,273,
433,335,851,916,379,230,987,745,449,926,585,683,840,960,716,940,451,100,637,
074,577,215,076,095,587,243,469,693,412,948,801,441,391,198,259,597,159,136,
005,151,279,779,378,228,300,595,451,077,285,632,562,005,996,709,611,714,013,
698,262,404,246,150,703,775,175,222,423,023,378,702,930,207,877,256,297,762,
810,661,677,787,610,983,755,374,184,322,772,023,667,130,765,501,826,217,744,
555,788,147,976,778,792,379,693,176,819,562,176,599,498,037,769,092,543,643,
359,207,977,274,987,957,093,341,555,866,973,920,946,445,004,725,476,415,736,
650,882,993,388,994,140,244,018,499,542,931,625,077,026,843,271,551,533,363,
006,869,578,141,103,461,249,107,061,561,596,969,582,541,384,925,516,035,935,
859,981,199,690,681,287,126,514,734,297,853,505,268,289,879,425,001,451,906,
639,273,591,237,988,846,636,200,728,459,863,834,342,230,204,669,764,734,226,
738,017,003,292,057,610,427,959,028,252,607,299,471,736,512,134,619,425,636,
688,183,677,122,637,913,330,137,263,293,107,161,318,308,417,324,075,535,333,
989,557,134,701,584,625,662,905,963,990,155,292,664,253,142,277,386,019,149,
869,787,441,332,825,008,003,905,948,709,086,912,411,814,306,432,896,486,365,
643,530,473,900,906,827,887,044,388,039,867,222,367,967,820,189,913,613,968,
913,544,398,428,564,233,674,948,843,275,280,652,385,977,916,492,522,021,325,
875,172,468,661,183,859,615,691,493,172,755,362,012,945,133,177,793,744,800,
652,068,561,208,508,090,609,517,099,160,211,350,669,997,271,496,084,966,789,
137,606,085,850,956,419,729,421,159,383,382,042,185,208,270,890,828,090,084,
601,215,395,549,465,603,575,445,837,421,432,361,833,679,355,522,276,552,705,
952,732,349,034,698,476,659,715,063,284,427,281,296,367,146,984,822,976,960,
765,055,850,896,552,900,844,249,488,281,312,099,759,562,905,625,490,136,272,
111,270,341,435,565,149,889,883,090,569,832,533,395,573,091,045,543,507,942,
717,462,779,872,988,902,336,363,506,533,568,242,722,375,622,128,082,383,296,
869,178,488,809,194,320,319,114,039,125,860,184,380,357,397,455,876,082,415,
479,625,030,935,497,527,664,466,778,839,689,801,127,104,733,670,773,099,873,
252,860,955,965,341,377,215,286,154,003,990,135,712,912,003,697,086,945,526,
985,908,830,972,976,326,031,212,260,538,863,885,849,705,151,740,437,714,161,
875,295,582,958,175,134,076,299,917,449,940,035,794,052,434,680,968,666,668,
327,594,349,818,094,296,256,228,141,918,436,488,525,702,740,111,331,081,861,
228,317,347,765,048,201,443,268,743,602,361,266,187,446,286,807,643,101,645,
654,736,852,002,739,517,770,418,901,960,798,072,342,313,290,056,225,959,377,
728,120,144,314,415,546,754,989,635,680,797,698,017,401,895,669,538,521,539,
880,971,723,451,338,959,672,128,238,779,228,579,173,046,111,312,570,956,653,
121,438,333,941,384,760,472,728,459,554,141,014,740,367,704,920,706,494,794,
816,074,525,623,329,956,796,982,934,117,270,512,774,088,383,797,255,408,526,
158,988,800,229,955,347,126,992,865,871,187,257,222,420,604,588,438,898,635,
085,553,013,370,892,422,889,301,679,611,983,439,635,543,164,725,100,949,852,
204,903,926,615,898,824,158,352,996,605,686,065,043,131,233,980,847,602,617,
768,851,354,917,507,126,150,524,685,551,619,703,005,242,229,141,656,483,618,
139,207,357,055,376,286,771,646,496,736,209,245,800,031,830,720,342,605,577,
308,229,150,159,466,364,140,730,475,534,847,920,611,748,095,109,937,866,332,
336,054,379,388,890,392,192,008,304,106,913,348,784,959,214,742,960,887,479,
186,855,794,115,435,203,733,043,644,654,543,453,015,512,460,002,336,591,848,
400,092,723,891,793,412,616,815,777,894,739,764,087,601,590,498,810,824,527,
526,840,222,573,607,622,271,246,706,842,836,557,759,661,007,888,144,176,686,
198,329,164,289,862,970,725,539,714,235,601,575,142,642,331,360,403,016,588,
446,326,873,615,903,679,557,511,114,237,590,413,740,978,110,874,945,984,826,
652,930,995,131,030,924,507,181,344,870,637,584,415,424,152,831,575,431,753,
873,659,910,630,368,168,215,975,993,225,780,643,386,758,065,421,483,536,282,
670,460,195,560,142,585,291,712,988,698,472,390,163,879,022,614,960,493,355,
506,049,073,959,429,464,158,354,018,608,962,988,639,208,202,979,783,181,830,
925,474,881,923,851,767,342,179,188,339,443,321,323,336,817,690,374,189,365,
255,892,367,835,917,512,302,805,098,768,542,468,883,771,789,404,155,386,293,
636,703,989,550,894,948,428,443,817,071,931,175,345,655,619,520,114,007,632,
177,864,462,104,389,461,961,642,163,997,819,116,203,533,543,900,676,544,103,
979,963,786,590,638,620,549,622,319,007,869,731,578,513,526,269,460,400,970,
533,811,066,195,276,122,772,795,777,736,583,520,889,512,678,708,130,722,330,
878,495,907,094,086,966,450,550,098,630,934,122,912,726,090,096,523,947,058,
647,127,654,785,101,661,464,411,113,585,177,400,131,313,743,506,412,595,013,
194,013,601,414,355,649,709,404,575,839,519,433,155,862,463,525,467,881,964,
472,214,587,801,013,842,971,616,175,168,400,975,998,287,233,453,922,367,956,
749,240,394,977,695,032,651,504,232,813,698,672,182,192,769,313,724,172,869,
695,858,857,131,799,333,865,963,322,997,998,461,018,300,059,538,635,073,627,
254,134,235,054,502,020,896,933,916,946,603,676,898,367,828,181,319,238,017,
969,339,405,245,775,889,970,335,023,546,807,704,088,801,533,617,043,545,421,
855,227,025,505,927,779,431,226,148,688,904,308,889,469,756,477,127,910,214,
692,378,067,864,035,576,354,803,484,394,360,461,805,181,017,977,927,953,727,
881,449,131,334,507,113,272,876,000,595,576,612,413,029,334,830,669,922,945,
388,175,290,133,368,246,407,471,109,278,022,699,771,713,923,883,427,698,985,
699,716,272,994,365,321,083,036,868,785,182,156,146,545,005,848,001,960,237,
517,430,038,140,445,402,668,734,490,090,676,707,678,191,386,851,778,661,131,
946,504,888,507,215,792,112,816,608,620,592,207,796,021,454,548,903,743,224,
880,445,418,368,523,623,359,943,334,505,154,789,091,697,627,782,348,860,449,
591,790,784,693,763,092,746,812,659,245,020,086,180,774,709,909,614,775,993,
361,465,616,959,855,972,723,758,563,757,558,108,431,857,998,267,438,658,925,
058,704,944,978,345,109,242,632,279,070,896,421,646,293,717,985,497,554,526,
624,754,245,020,641,082,816,131,611,782,824,160,336,371,874,980,803,805,156,
556,545,011,898,227,736,783,006,698,394,139,847,576,738,238,965,296,263,921,
503,553,057,653,886,504,840,557,770,111,736,866,081,122,868,424,280,783,406,
984,046,150,535,065,817,658,854,206,072,956,884,127,238,790,593,168,270,505,
867,992,916,357,049,214,162,528,482,878,426,059,387,065,695,578,782,944,267,
102,077,456,234,199,062,208,164,366,916,199,143,771,544,955,917,251,889,035,
173,095,299,094,650,221,697,117,232,922,243,003,415,676,187,534,998,604,644,
678,035,620,111,602,470,911,799,665,361,412,179,614,250,152,500,416,319,983,
777,693,839,953,158,682,837,643,845,167,272,208,632,891,161,635,146,516,514,
489,953,670,745,767,464,102,004,856,749,445,456,411,731,544,284,410,938,194,
043,052,799,822,738,675,541,269,625,892,373,407,250,133,509,261,706,865,681,
883,225,853,197,726,332,140,428,739,725,814,082,507,323,503,013,910,210,441,
061,455,931,404,547,600,704,770,403,769,156,283,110,131,212,916,697,111,401,
189,312,760,242,802,015,600,892,278,120,058,969,738,108,972,813,603,060,139,
224,937,899,753,751,894,754,219,973,509,956,192,497,557,328,097,805,893,841,
709,398,828,326,744,561,860,903,476,365,245,942,407,337,606,333,039,491,257,
851,125,302,231,214,756,468,761,586,979,821,721,469,100,964,097,729,537,062,
456,438,233,570,025,186,043,193,917,366,127,464,032,080,209,883,823,330,331,
088,926,593,223,096,343,203,905,699,802,668,731,717,473,404,484,666,421,139,
433,795,853,319,138,531,087,078,813,882,468,149,680,071,228,593,165,611,597,
191,922,977,548,202,161,097,540,800,396,612,143,151,780,982,809,257,018,178,
639,101,215,433,315,827,558,135,817,667,123,186,197,648,938,431,934,773,522,
909,428,677,728,850,771,794,342,260,126,641,547,898,894,160,851,509,425,079,
716,529,660,819,889,473,945,779,193,658,286,921,203,082,333,577,308,952,749,
741,271,256,724,466,387,582,969,327,649,034,962,456,806,016,462,152,754,077,
738,871,288,979,114,541,567,219,982,563,379,673,995,858,091,780,526,391,430,
506,941,951,127,162,809,932,702,623,472,948,891,684,796,173,405,767,207,234,
371,934,724,919,366,225,904,698,501,560,750,198,401,196,880,596,616,776,594,
264,192,281,518,114,500,039,840,257,032,883,248,658,447,510,885,347,537,804,
947,280,719,956,645,451,114,166,083,788,045,343,102,763,892,628,133,687,916,
293,099,927,639,906,288,227,883,055,371,449,663,716,390,351,658,938,783,385,
098,571,075,606,151,344,183,815,696,209,539,896,625,759,787,965,930,393,080,
417,377,422,823,746,970,165,891,738,514,163,943,830,545,450,186,874,799,633,
358,228,283,340,319,032,275,399,060,333,520,107,461,964,816,066,866,786,701,
353,687,437,646,141,276,377,926,990,583,002,887,468,389,161,682,496,587,757,
476,813,012,059,609,144,253,132,149,494,534,592,661,291,910,936,826,561,481,
970,142,712,396,970,944,476,404,585,403,229,446,117,785,144,541,719,249,153,
866,901,243,496,079,721,631,421,560,481,391,345,718,001,759,155,375,448,493,
841,456,928,606,424,513,253,580,082,109,519,871,857,029,721,896,617,591,625,
312,230,421,876,691,614,180,088,513,823,956,021,428,871,403,636,557,873,912,
745,122,868,165,807,635,534,122,787,558,542,548,225,440,942,882,494,172,377,
592,651,271,805,686,716,492,403,651,378,754,325,717,527,107,245,124,884,762,
530,499,945,439,357,450,363,064,891,059,553,288,344,199,832,144,436,703,344,
905,643,217,628,330,655,316,343,326,517,448,201,842,949,105,555,634,163,726,
066,036,916,903,645,480,507,794,885,153,125,658,252,891,250,221,597,598,593,
635,971,195,491,049,556,147,181,124,370,462,406,545,597,102,317,113,967,906,
863,315,349,106,186,501,230,967,465,752,181,597,001,967,890,045,673,256,124,
823,062,802,103,150,000,244,656,054,610,819,601,413,219,411,182,788,953,707,
441,330,331,103,961,029,131,264,098,841,342,399,783,513,044,275,475,915,818,
408,846,165,540,967,837,481,334,085,988,229,858,975,600,607,186,457,273,307,
503,339,079,097,087,709,682,782,538,990,906,804,321,812,138,948,248,221,715,
460,714,620,214,164,923,303,534,994,275,468,661,531,475,827,803,594,685,382,
353,373,277,597,466,198,462,591,282,946,998,185,577,484,796,856,687,789,002,
110,756,041,646,105,739,611,797,153,519,577,300,463,588,034,369,378,005,307,
593,026,004,135,557,974,240,940,347,601,403,339,240,352,104,224,744,752,855,
410,580,164,018,920,358,331,616,049,593,295,189,275,359,606,467,155,545,779,
117,462,872,889,105,702,837,590,622,332,626,224,432,861,422,530,142,695,417,
102,722,384,132,240,701,618,297,911,223,279,058,449,768,687,142,173,984,335,
021,365,932,998,190,111,057,969,559,085,823,211,459,670,302,802,854,467,548,
545,867,649,834,255,864,809,169,714,838,475,591,816,093,177,922,701,371,413,
560,172,684,281,365,286,282,384,491,299,315,939,284,660,833,038,959,697,943,
818,998,404,797,174,038,180,559,729,600,216,569,083,781,371,019,653,709,362,
725,611,850,465,808,400,347,676,918,724,122,356,726,538,516,627,648,892,501,
217,952,530,384,943,745,843,874,093,328,255,406,454,418,271,439,986,576,183,
233,692,425,844,232,700,332,339,580,691,087,320,348,548,974,419,639,948,526,
922,486,996,631,839,722,648,409,230,204,722,593,870,814,986,557,418,978,374,
033,806,759,028,294,577,211,338,798,650,764,442,822,529,307,007,572,206,809,
424,065,315,928,854,405,152,256,602,368,945,874,221,547,434,358,532,567,191,
015,495,062,857,831,499,354,317,320,559,457,076,608,859,742,621,132,249,920,
818,818,172,850,711,680,491,215,366,677,425,231,859,309,302,603,467,408,946,
963,959,534,210,747,490,445,785,822,065,232,841,447,372,058,742,717,880,666,
866,749,766,323,043,896,325,603,067,945,007,135,563,170,707,543,705,490,892,
271,556,628,644,554,938,898,202,978,697,936,786,443,202,787,476,405,171,868,
856,898,255,569,350,608,767,197,981,859,178,943,667,218,886,295,862,366,681,
968,744,515,981,516,740,540,057,535,610,068,061,100,468,888,629,446,555,829,
506,409,707,912,588,992,220,059,466,870,001,488,623,254,393,311,942,169,666,
681,782,498,193,813,631,646,598,139,793,585,506,986,643,166,741,190,130,889,
780,411,785,086,995,206,800,203,022,846,950,269,863,640,361,356,516,288,959,
988,225,173,932,238,009,707,349,363,304,643,396,684,892,620,106,789,120,643,
291,050,087,363,841,059,019,164,148,143,416,920,975,401,731,574,533,009,851,
588,891,914,906,521,078,281,791,335,880,155,126,665,279,201,236,062,753,312,
234,980,417,409,899,951,261,468,036,629,999,458,647,706,918,123,175,935,930,
542,166,854,975,066,431,311,761,259,204,285,769,471,402,368,171,779,373,928,
380,642,906,843,491,810,618,194,540,417,985,093,338,814,876,273,768,990,994,
489,304,570,380,176,182,645,906,353,966,778,692,126,785,701,942,357,224,036,
857,911,454,058,708,802,915,659,623,308,835,739,596,718,320,697,524,916,895,
670,790,188,451,981,866,154,648,252,042,486,722,374,191,863,172,108,238,372,
366,171,779,109,051,127,609,408,483,063,326,865,237,273,693,110,218,084,424,
929,892,554,004,602,338,851,856,476,342,116,900,668,563,386,179,556,500,019,
256,694,640,137,902,031,803,043,472,935,031,342,859,640,758,305,861,234,116,
768,260,076,015,588,801,210,417,483,501,523,528,597,467,069,941,414,232,676,
722,721,121,864,081,087,071,233,614,917,629,608,611,036,404,052,005,744,348,
007,530,675,560,924,957,347,699,237,912,702,916,042,744,430,617,824,049,333,
033,799,032,559,489,378,152,332,684,972,020,791,100,090,055,853,108,507,423,
950,070,853,805,396,626,515,878,427,482,147,466,552,508,018,140,555,167,334,
898,318,834,023,776,367,127,143,777,069,971,015,422,501,956,416,964,400,152,
174,460,094,582,067,957,467,333,096,841,367,207,600,399,257,119,792,332,859,
113,730,751,045,591,371,484,178,995,003,109,311,130,085,109,217,650,189,887,
214,392,185,769,786,304,414,076,231,170,520,217,832,314,372,337,576,378,924,
882,289,804,180,741,222,068,494,185,388,264,463,917,892,615,349,263,635,372,
689,209,066,868,111,382,513,302,708,669,329,514,663,835,836,279,233,196,416,
370,695,692,916,544,735,330,601,908,771,246,302,055,151,275,123,444,969,675,
078,545,953,839,908,705,116,401,135,493,078,613,464,763,057,297,803,004,884,
346,403,053,921,281,647,287,882,171,150,549,627,070,527,728,288,118,101,603,
998,676,431,843,819,775,036,600,622,279,595,950,416,623,367,691,651,346,776,
044,751,144,700,375,183,406,410,183,900,799,685,418,756,677,882,818,614,993,
169,398,603,554,138,874,267,602,075,020,463,894,342,798,639,294,205,240,161,
522,375,951,054,804,141,842,576,373,568,313,554,889,674,786,084,648,349,597,
570,064,898,503,484,425,877,480,606,991,320,131,488,206,258,972,215,519,106,
653,976,799,059,594,684,689,661,007,975,057,342,227,723,336,109,628,953,972,
156,308,025,052,107,224,930,753,828,359,365,813,718,651,843,172,674,781,139,
528,733,725,639,940,572,199,092,445,604,249,977,416,292,622,407,479,687,545,
087,552,359,770,184,330,002,923,325,128,419,169,513,865,031,390,822,475,540,
965,113,430,425,097,466,666,817,643,424,272,212,542,390,879,367,711,322,862,
655,179,352,180,848,462,691,869,533,747,116,813,221,160,180,418,932,542,226,
606,090,295,379,531,442,155,039,403,470,444,296,302,933,651,257,793,201,599,
984,720,625,487,335,296,012,332,085,175,090,284,630,400,725,992,353,991,648,
644,233,507,050,467,478,946,504,263,130,480,465,405,366,268,171,452,409,095,
001,512,409,976,719,154,171,697,789,960,849,006,448,612,686,052,022,836,711,
608,266,906,288,380,119,755,849,050,285,198,465,053,483,304,167,831,612,987,
532,011,545,925,209,912,711,085,735,689,294,942,201,532,752,178,762,984,431,
298,046,682,131,132,759,643,515,496,872,332,183,829,362,501,359,334,791,406,
958,239,416,888,597,288,309,940,198,209,482,471,657,308,251,548,341,194,700,
248,363,585,462,957,502,605,596,690,021,961,401,939,085,779,843,636,850,852,
610,199,297,291,312,399,543,808,402,944,773,175,343,438,889,552,601,578,542,
657,160,769,992,943,975,814,747,692,316,030,382,924,147,591,879,394,039,221,
845,636,820,402,186,869,956,533,967,610,097,477,849,035,337,349,748,506,121,
486,327,269,882,605,289,870,052,621,152,194,515,187,297,586,023,327,249,558,
092,174,460,626,507,344,504,729,663,635,877,423,543,715,809,778,826,716,837,
161,645,507,963,887,586,808,209,031,533,765,511,287,867,135,966,492,205,291,
721,286,846,477,223,792,155,763,404,131,743,984,612,955,123,515,312,661,971,
952,347,287,460,582,512,266,150,355,426,408,701,466,045,298,064,054,004,004,
784,386,599,258,855,266,850,198,894,509,831,846,652,569,648,636,498,873,472,
866,409,200,273,359,616,388,294,804,476,745,069,226,947,550,100,437,391,202,
587,064,438,486,680,240,399,311,133,408,122,048,764,199,328,318,099,667,864,
763,314,164,535,086,634,959,803,201,571,001,346,967,300,019,753,160,623,163,
526,141,367,708,041,381,613,393,390,013,171,600,281,095,905,606,390,153,314,
352,520,429,221,424,685,059,737,067,678,022,760,683,285,363,164,824,814,982,
783,220,019,369,193,866,846,567,279,825,850,017,981,346,648,020,610,580,499,
581,635,049,012,006,711,795,433,774,601,633,025,538,738,745,362,947,663,018,
021,880,152,341,706,308,476,400,655,111,265,116,636,179,142,898,350,925,428,
821,383,063,682,750,123,925,050,296,111,526,080,054,526,230,661,518,821,406,
790,819,715,110,350,223,012,646,441,094,042,568,201,802,624,375,290,555,987,
627,065,452,529,285,693,988,497,622,556,553,658,583,795,832,402,717,485,684,
098,442,988,367,177,941,009,982,698,480,467,455,457,129,045,968,208,890,199,
389,027,901,098,509,248,861,223,084,631,421,381,569,818,882,749,262,326,924,
383,015,659,299,324,950,192,046,660,533,829,286,656,228,885,254,610,207,448,
754,739,328,226,744,834,985,947,936,793,382,664,598,829,951,679,187,052,427,
404,227,234,586,456,708,628,782,012,779,595,322,276,742,962,770,529,177,054,
118,823,369,844,363,344,051,503,264,473,165,802,738,878,092,255,019,823,064,
809,099,388,728,043,252,863,760,824,347,831,556,767,225,999,238,692,366,821,
033,451,174,184,438,858,300,835,318,781,342,831,343,459,260,289,271,798,593,
921,287,690,948,446,407,427,203,163,524,157,960,278,324,774,205,729,719,820,
093,617,819,183,956,038,440,006,670,493,004,687,245,950,089,911,025,221,904,
028,242,231,922,577,427,405,482,252,050,778,954,042,457,434,979,356,952,792,
818,082,755,573,595,800,633,975,708,040,502,579,243,437,312,678,021,017,084,
991,121,565,745,412,085,485,756,707,933,323,045,000,959,915,998,695,004,978,
431,280,021,277,453,166,790,714,730,953,285,640,776,082,139,559,999,628,690,
755,255,479,466,375,632,215,368,513,648,619,425,927,793,549,582,136,586,882,
499,186,602,661,278,235,788,927,740,647,783,210,594,337,284,996,938,867,884,
546,992,298,296,132,845,122,095,891,666,945,755,030,417,957,006,272,912,239,
540,091,540,967,897,280,087,710,209,093,990,132,344,656,596,427,394,045,389,
924,779,350,529,224,305,201,093,013,210,847,011,714,858,792,460,400,472,443,
062,676,052,815,823,353,421,427,397,753,750,562,480,741,220,621,960,054,215,
488,720,543,579,363,635,844,543,990,950,500,672,214,979,255,789,886,158,040,
735,294,671,644,810,471,420,779,317,898,752,365,707,402,447,947,411,364,849,
149,572,276,105,884,379,890,931,600,262,733,459,955,650,546,319,712,636,142,
646,626,595,145,967,960,614,620,336,712,280,272,586,498,904,273,333,515,651,
340,609,590,226,885,235,359,549,903,451,382,732,614,072,723,210,847,661,272,
832,478,461,924,822,894,456,336,506,062,372,178,140,820,863,487,048,514,129,
891,079,974,488,330,718,453,561,841,347,651,415,489,587,017,567,824,000,567,
699,439,750,945,242,790,991,636,473,353,466,438,962,552,874,110,427,883,513,
463,293,752,454,038,708,998,582,791,875,185,083,819,585,180,470,020,861,643,
085,661,463,608,533,403,772,436,546,322,686,702,366,492,647,833,400,894,264,
626,413,909,857,725,073,792,343,045,772,472,475,632,683,145,267,774,732,382,
330,582,305,399,292,237,323,236,001,847,222,936,034,455,550,893,257,034,465,
983,162,498,506,760,460,696,971,889,293,970,676,923,867,307,726,243,557,561,
603,042,692,448,201,669,630,352,455,595,577,068,078,019,633,464,622,171,797,
912,688,770,716,276,977,323,505,610,063,881,652,927,467,599,900,578,451,885,
378,817,607,978,161,992,175,800,772,304,201,696,087,525,256,364,197,717,028,
439,423,112,213,968,376,745,947,175,729,010,269,653,158,951,317,153,380,733,
972,611,686,300,020,250,145,575,431,956,715,733,060,463,849,202,536,646,289,
070,923,837,372,378,833,660,951,527,865,114,592,688,049,370,759,585,676,849,
910,832,752,555,138,417,886,242,944,553,682,387,805,475,491,093,279,052,656,
244,974,587,468,668,360,551,905,092,508,934,141,364,519,207,952,236,930,262,
330,274,095,379,598,916,132,524,170,187,279,174,501,049,770,186,238,996,019,
896,793,327,533,181,044,846,693,524,057,719,477,037,847,729,119,002,888,207,
449,938,014,085,889,362,921,582,680,932,953,014,889,718,914,908,566,502,076,
496,416,512,722,394,345,717,243,010,053,162,649,060,077,490,170,176,479,835,
129,173,377,857,864,201,523,800,278,192,251,252,723,142,660,990,230,561,448,
540,311,287,832,042,745,761,763,268,411,095,723,918,357,286,553,890,504,107,
970,970,700,282,555,208,497,491,807,793,437,064,407,346,093,674,772,185,676,
568,685,401,434,445,738,139,026,428,816,406,441,164,735,003,244,897,551,280,
307,678,706,120,728,655,514,782,499,162,704,328,231,437,324,811,397,454,276,
892,568,211,360,167,405,430,662,094,145,095,610,341,221,281,905,964,019,497,
891,056,537,498,226,733,705,777,256,440,223,894,196,343,824,332,112,655,864,
337,183,092,746,128,102,544,050,542,663,568,813,228,497,398,230,518,201,059,
931,309,678,844,731,517,454,849,260,779,456,643,829,719,725,511,292,212,591,
290,015,358,244,363,080,471,147,061,069,197,402,347,587,891,999,295,941,458,
273,610,919,590,002,424,609,437,134,568,064,001,857,531,815,593,150,217,147,
987,117,931,058,389,289,571,029,448,681,392,554,903,762,436,829,696,193,314,
618,157,113,141,025,261,947,641,879,083,410,203,079,675,162,240,240,950,736,
848,614,220,666,577,123,129,129,299,458,628,820,046,713,755,318,734,975,742,
121,500,634,458,671,533,247,251,850,499,405,831,570,230,285,307,281,090,359,
832,003,964,982,427,578,884,971,458,743,349,767,748,148,703,260,384,231,395,
471,652,510,114,587,448,060,866,192,699,123,579,647,800,491,498,144,732,842,
583,844,139,161,143,420,799,196,992,180,793,315,493,823,267,063,517,939,960,
328,455,309,106,353,128,699,538,664,260,064,632,287,288,263,419,374,523,344,
542,114,554,000,766,515,877,057,775,062,288,400,552,889,540,071,675,917,417,
753,687,283,447,583,249,224,379,972,195,981,632,149,418,274,910,342,895,258,
391,229,029,843,379,309,314,976,751,504,570,645,313,866,226,919,501,808,918,
331,971,014,809,209,109,752,716,020,641,537,076,910,872,950,255,231,229,940,
221,580,654,592,615,561,930,346,323,820,881,484,075,117,189,117,924,952,228,
719,633,821,735,946,708,886,274,480,409,538,493,836,860,466,032,409,239,340,
337,911,153,223,519,944,914,411,454,179,038,173,222,092,354,901,799,678,436,
308,996,262,167,145,326,754,774,518,156,106,819,515,209,443,378,932,267,261,
671,249,030,143,071,151,681,365,172,434,864,158,325,236,612,272,401,248,607,
130,968,801,174,352,047,372,190,645,396,498,544,519,968,326,617,716,933,303,
284,910,907,216,204,183,734,283,260,587,447,332,654,295,567,542,889,789,244,
690,648,289,441,723,342,824,638,085,241,309,816,957,692,683,381,503,417,761,
843,352,246,471,602,964,361,404,977,734,692,006,570,231,234,974,159,749,468,
059,558,391,100,378,496,476,138,029,922,669,491,733,147,199,326,747,454,688,
383,104,615,188,062,705,096,661,637,141,341,612,648,203,881,535,598,812,558,
385,230,030,666,568,317,938,744,351,221,476,026,800,927,655,256,486,971,044,
888,747,013,982,634,575,074,108,398,815,906,559,557,069,098,604,185,046,899,
130,147,459,320,466,181,029,408,313,924,157,356,564,776,573,873,722,773,626,
842,810,684,044,070,854,978,651,688,784,320,859,549,397,831,351,549,007,752,
687,286,968,602,918,970,595,079,024,389,072,939,258,290,181,352,754,801,605,
792,000,211,252,982,488,612,498,723,310,111,568,538,046,934,501,017,517,620,
283,090,459,457,496,293,435,801,857,691,607,313,412,087,564,602,941,914,598,
996,610,089,840,086,480,073,461,080,250,935,701,496,453,158,049,333,026,787,
790,419,767,511,872,718,471,564,854,368,699,355,617,965,772,805,921,431,838,
259,940,101,768,418,991,257,782,720,630,959,894,190,900,791,796,834,141,759,
170,223,682,193,862,159,766,945,187,367,266,825,656,834,234,796,669,629,142,
264,002,578,876,998,323,724,626,274,102,869,790,416,073,491,348,062,847,097,
370,719,898,440,704,190,805,566,753,979,478,407,431,479,789,388,815,957,784,
950,344,080,161,257,574,348,930,099,467,651,276,904,645,810,975,915,173,669,
821,369,472,101,776,866,222,949,423,745,669,045,090,471,555,382,681,624,923,
015,302,649,374,204,125,003,554,009,863,506,386,101,198,487,251,781,776,715,
600,142,707,251,792,795,974,172,616,616,965,502,101,691,433,927,515,361,494,
835,527,548,426,468,717,988,879,802,364,705,610,369,883,821,865,165,871,778,
520,646,779,356,999,005,242,501,984,689,190,373,976,448,743,072,518,050,577,
627,795,840,539,168,223,767,755,676,273,162,324,228,425,731,837,628,441,819,
762,388,948,731,863,718,172,666,034,670,033,754,394,360,107,610,847,976,508,
689,878,862,033,061,988,499,816,943,865,111,361,438,628,638,327,522,936,285,
296,100,045,303,179,548,966,992,373,928,132,197,573,764,218,682,217,052,951,
871,895,140,653,171,918,887,264,709,087,588,671,751,583,703,671,176,173,198,
784,309,333,693,892,789,344,194,674,986,193,270,929,449,600,914,911,362,996,
327,251,190,615,413,344,898,624,081,789,966,724,985,506,250,045,436,456,980,
161,506,360,218,840,047,124,958,328,524,556,618,380,556,499,105,745,286,063,
320,685,876,479,865,473,943,468,865,787,162,115,252,496,570,263,035,104,166,
641,607,180,826,508,590,277,119,524,416,738,764,082,448,128,109,726,631,978,
693,021,842,777,682,333,214,808,797,946,857,246,327,856,903,725,731,518,261,
498,216,182,623,466,118,695,529,706,182,086,597,478,901,724,227,990,124,436,
812,223,503,138,366,137,390,714,388,184,061,028,890,295,217,321,663,833,374,
597,128,469,378,902,160,049,846,220,602,927,492,495,892,700,446,863,119,424,
030,059,219,468,412,276,126,282,483,387,811,998,606,461,885,673,610,939,395,
938,418,823,284,406,138,783,198,522,044,275,376,601,657,264,505,162,490,631,
341,023,815,757,092,145,389,248,371,461,921,636,117,638,364,687,131,919,461,
409,456,371,960,063,683,145,607,022,097,991,687,998,642,550,940,155,773,247,
947,732,958,473,342,408,644,327,331,551,259,980,974,594,791,309,450,529,834,
491,662,513,307,539,943,350,150,271,924,963,689,718,319,918,246,909,781,583,
425,852,395,583,267,849,969,837,958,750,605,674,380,143,981,056,031,623,926,
123,045,283,519,525,969,477,494,734,947,966,462,365,232,274,183,768,992,103,
363,130,273,901,429,793,355,624,961,601,793,153,064,339,807,152,572,395,277,
374,612,918,781,161,464,516,076,107,047,480,860,987,588,100,116,377,751,489,
825,320,893,205,232,182,904,050,427,229,215,761,513,565,523,103,585,384,431,
735,978,044,253,895,401,464,552,951,787,360,589,222,181,783,734,219,023,007,
027,908,082,875,364,837,830,706,972,015,255,494,181,175,130,396,688,214,608,
212,023,332,900,471,577,819,148,435,526,124,739,412,337,799,550,773,530,595,
621,365,599,406,760,970,615,363,539,049,604,447,896,864,972,422,138,052,904,
559,277,402,942,645,175,263,102,192,725,153,938,516,888,255,578,271,478,213,
694,973,428,358,595,532,975,971,206,975,373,920,350,600,336,281,811,453,982,
577,271,667,142,400,293,212,604,665,020,267,497,277,571,241,629,885,931,966,
868,692,242,979,075,935,588,235,219,985,645,767,942,443,833,424,352,101,366,
438,500,378,367,206,470,077,798,948,317,020,136,146,404,360,788,920,157,734,
861,061,418,780,591,365,437,463,281,708,302,183,292,770,406,770,869,299,949,
475,218,029,163,724,366,248,809,434,381,350,109,102,652,581,211,722,184,208,
706,637,171,032,018,844,412,373,607,002,484,420,135,022,279,653,872,513,908,
243,474,839,277,237,889,882,316,455,327,981,782,349,219,924,443,496,184,555,
600,819,333,768,504,825,109,382,489,989,990,564,939,285,480,310,575,689,100,
830,435,212,483,116,499,766,419,149,849,532,851,809,499,307,280,906,412,561,
549,507,789,209,485,412,360,777,898,287,022,105,697,719,346,876,694,985,757,
802,167,166,976,743,644,016,190,453,902,674,731,767,117,308,129,919,555,890,
442,049,397,903,058,852,780,554,517,961,684,510,892,146,286,113,517,636,467,
488,586,466,160,612,801,000,609,164,755,916,130,102,131,254,300,871,295,491,
428,326,495,234,934,624,887,331,789,545,579,098,282,409,939,227,180,756,276,
033,837,112,737,144,549,740,964,748,144,037,591,280,782,041,606,624,607,558,
812,434,434,457,122,898,211,034,170,371,674,238,033,081,103,782,595,873,390,
116,555,752,792,303,643,344,160,947,305,428,815,692,582,307,139,001,322,304,
645,730,983,962,693,861,226,549,671,222,099,511,690,538,742,217,350,429,876,
373,097,988,034,487,132,430,922,404,047,578,854,031,473,528,192,860,333,224,
835,995,218,726,602,042,775,219,744,880,962,582,589,048,179,702,843,822,612,
693,580,761,895,338,604,861,717,692,208,901,864,008,437,687,506,879,544,280,
865,095,588,945,327,604,550,733,139,259,370,304,320,558,062,894,345,490,795,
394,869,781,011,501,296,084,692,659,257,442,999,685,841,392,476,271,929,133,
141,348,715,996,521,289,030,154,600,852,957,289,985,638,295,384,533,599,944,
364,220,115,587,652,449,191,116,651,454,790,039,486,770,437,330,713,222,754,
803,359,449,865,751,822,158,991,863,886,954,537,626,637,741,626,733,229,033,
354,235,509,182,344,551,483,669,450,514,408,149,190,377,419,245,902,836,024,
389,541,419,143,015,850,898,886,548,767,680,555,938,354,563,172,494,460,399,
567,977,794,234,983,241,813,084,573,169,154,217,656,885,122,596,729,924,708,
517,997,074,799,641,809,095,934,311,245,943,521,740,273,494,022,480,758,196,
073,743,679,192,771,843,723,890,078,777,672,803,220,527,795,759,044,325,309,
997,487,265,781,896,530,657,788,859,004,104,884,492,355,218,697,800,241,551,
850,481,784,049,962,525,537,719,083,321,123,510,238,389,498,748,618,800,555,
124,060,987,487,718,109,320,996,477,832,872,084,780,854,038,301,132,814,682,
409,025,522,669,869,630,278,716,634,814,454,826,046,119,216,221,079,646,459,
484,341,455,780,171,762,221,067,131,246,156,539,341,104,372,086,753,717,418,
066,851,326,039,196,012,717,709,513,464,189,825,942,652,296,908,618,556,348,
337,907,520,065,453,917,720,925,168,677,237,704,901,788,255,319,908,429,570,
333,681,653,829,529,831,073,281,552,518,371,294,454,050,139,540,591,867,401,
612,351,547,053,601,533,287,505,962,546,959,531,976,248,881,401,932,489,544,
846,020,278,527,941,859,658,278,192,355,375,111,902,827,128,392,926,215,543,
700,134,369,487,018,078,123,497,372,087,266,108,943,564,724,472,268,082,636,
791,577,490,080,122,298,411,585,364,205,935,409,148,638,010,226,745,558,617,
959,363,767,666,650,681,480,987,505,618,751,795,700,001,711,411,604,519,172,
187,110,529,195,615,421,708,248,303,808,496,813,766,874,940,184,711,686,936,
602,261,292,764,927,267,182,446,045,916,975,693,612,158,369,343,766,869,803,
648,073,747,560,795,593,963,883,084,673,738,468,255,091,591,231,483,311,424,
038,493,753,436,345,589,527,325,569,218,018,491,978,171,811,445,138,452,916,
566,192,831,029,818,211,080,224,520,710,093,515,658,961,124,739,323,122,301,
734,970,007,509,594,755,386,889,038,145,148,667,607,834,379,662,505,818,714,
957,778,246,922,462,891,686,492,267,361,618,959,642,447,151,020,270,178,487,
553,280,784,254,973,723,237,651,003,533,488,543,142,024,905,165,163,441,101,
982,460,367,251,336,763,276,725,831,687,350,301,310,289,676,179,908,939,310,
828,747,595,207,217,952,182,117,798,753,602,655,873,838,854,055,501,726,222,
988,494,645,165,096,342,880,452,062,749,673,482,274,892,999,370,764,791,972,
763,943,748,511,304,821,327,499,714,069,923,245,055,328,935,532,203,977,784,
404,385,263,659,955,660,413,884,626,230,962,783,286,550,283,247,502,470,200,
097,982,694,019,255,891,953,063,696,505,014,535,862,865,745,893,797,099,034,
739,212,587,286,171,923,647,503,220,028,896,047,790,752,610,397,826,704,769,
953,961,394,564,937,477,671,041,345,294,577,091,913,468,838,251,017,874,089,
975,638,756,165,854,242,980,751,313,322,763,047,546,213,888,641,746,659,258,
118,969,190,886,997,755,622,875,243,898,921,716,515,792,094,265,581,447,672,
715,784,274,755,942,521,436,081,441,846,476,794,599,652,366,660,477,651,337,
687,315,486,210,761,899,559,177,777,636,991,278,531,223,091,482,627,714,832,
439,446,588,590,562,576,292,184,326,346,886,415,411,486,682,033,862,188,590,
135,167,693,273,911,496,612,176,832,061,966,974,941,969,764,275,899,272,768,
343,915,018,279,901,522,519,533,001,666,217,993,438,874,000,249,869,034,216,
518,787,158,111,466,755,067,319,433,504,686,394,643,940,973,027,441,327,048,
089,867,565,823,582,187,341,078,983,301,874,889,864,636,390,963,259,522,666,
254,474,474,836,628,048,732,367,542,192,439,077,244,454,982,694,960,863,221,
198,119,646,960,454,074,197,598,449,954,922,222,411,450,527,364,779,514,255,
430,723,982,543,723,451,776,309,127,043,820,456,919,298,409,939,663,054,855,
664,240,856,209,732,679,563,816,897,684,033,334,557,883,884,115,671,288,215,
455,610,960,337,587,817,977,385,882,738,117,873,819,815,741,455,001,760,260,
697,699,960,220,167,493,534,768,258,221,978,884,966,457,776,391,811,524,873,
788,774,374,026,358,858,771,614,718,871,342,656,429,531,542,300,305,655,902,
792,841,218,290,060,226,991,758,765,359,406,595,530,339,413,688,376,975,007,
709,560,605,260,423,392,060,844,737,963,345,562,470,679,324,970,607,497,286,
049,053,934,960,838,081,234,238,088,794,476,085,254,362,063,990,958,387,384,
038,556,572,623,512,203,694,470,588,927,202,320,082,335,629,078,558,876,229,
688,543,475,296,543,898,375,933,889,682,426,920,447,172,728,531,673,362,874,
375,588,379,952,037,443,965,739,314,566,384,110,057,934,994,807,359,562,609,
354,029,734,755,358,563,638,139,312,586,030,479,084,721,021,903,050,973,119,
698,181,776,985,945,613,143,324,419,256,641,779,840,311,485,577,923,932,972,
445,477,408,504,071,133,038,371,958,234,188,725,256,817,806,765,009,219,263,
256,000,746,801,641,150,509,042,519,975,489,011,010,479,335,575,380,160,208,
582,200,192,407,177,643,337,718,085,079,869,289,153,803,623,087,557,270,625,
720,575,407,204,725,438,125,677,807,214,330,736,143,122,912,997,530,180,100,
276,070,137,245,147,981,393,844,374,742,064,355,817,266,981,809,592,712,752,
257,421,739,641,350,394,924,852,710,195,259,654,088,161,356,754,539,837,611,
037,133,834,369,340,383,425,951,878,740,972,980,835,488,176,786,273,411,345,
464,221,271,888,783,390,225,845,465,561,878,600,388,206,266,356,952,805,724,
552,966,372,327,593,341,320,084,946,401,500,141,053,884,489,744,411,568,090,
674,337,343,248,670,430,705,963,907,435,850,082,753,306,888,832,723,581,317,
284,384,124,574,135,718,928,580,452,724,476,526,255,570,842,114,108,840,192,
584,003,367,739,592,140,983,613,618,955,906,918,130,833,395,963,447,940,592,
819,119,413,730,770,900,209,325,598,114,156,539,397,771,902,472,679,848,988,
985,206,241,700,671,742,944,678,589,898,391,317,423,904,363,986,372,731,427,
762,964,588,835,073,626,446,282,767,196,296,646,862,450,236,707,620,920,202,
645,725,195,413,146,944,258,454,025,695,979,142,517,352,986,074,551,889,253,
100,338,002,513,862,004,992,553,803,031,050,276,808,197,536,071,973,098,593,
784,220,162,345,608,269,652,358,811,399,974,887,187,889,555,720,024,735,597,
598,856,090,738,105,304,521,226,435,110,824,425,021,360,880,143,016,820,156,
884,137,781,206,306,750,688,587,406,264,497,034,569,310,224,229,002,588,784,
036,017,458,549,221,148,251,966,202,105,944,520,122,580,947,530,025,104,251,
031,250,857,152,450,248,461,392,067,933,687,644,859,493,175,940,665,606,091,
662,107,404,118,037,581,642,386,887,614,923,561,661,180,628,456,220,474,848,
664,411,789,389,685,338,451,363,014,916,250,077,825,014,044,811,534,222,805,
665,713,207,360,188,101,535,533,173,445,573,952,754,658,878,374,136,061,853,
919,458,839,240,614,767,044,329,913,748,950,829,106,987,586,745,690,530,093,
368,486,262,804,300,382,178,702,973,794,974,290,133,329,370,451,234,663,695,
305,841,811,535,754,486,971,715,909,949,600,476,484,128,645,835,776,699,452,
798,959,538,426,403,963,856,356,923,064,259,000,066,243,943,819,042,233,555,
553,115,125,699,131,444,471,430,551,454,380,672,376,123,045,312,516,273,232,
050,710,410,408,297,582,701,479,245,480,634,479,648,401,794,798,460,369,048,
523,170,141,502,314,485,937,106,890,456,698,717,769,535,857,128,883,291,670,
294,510,470,555,165,938,616,640,865,917,372,025,166,363,729,771,466,445,610,
724,592,346,544,139,450,366,051,781,862,896,778,419,101,658,872,446,679,892,
741,672,262,719,349,282,052,991,910,822,970,897,541,878,874,944,148,697,340,
257,942,751,518,080,367,667,868,018,403,786,364,927,264,423,041,190,555,819,
295,116,360,359,544,882,391,623,232,817,968,088,763,114,396,355,853,047,176,
604,427,506,488,549,627,360,076,440,738,362,749,437,128,247,984,844,887,324,
748,286,752,813,590,849,962,072,441,369,498,846,738,399,161,036,840,905,787,
325,233,630,052,748,834,167,109,192,651,781,326,330,280,931,576,663,806,657,
968,347,879,185,089,899,618,825,399,286,556,651,838,869,004,379,529,898,430,
396,846,089,574,187,190,628,352,788,131,841,329,882,036,364,186,466,657,646,
376,460,454,181,723,334,986,290,827,426,526,746,716,241,877,756,912,208,455,
070,670,124,056,048,474,120,993,003,787,469,635,722,996,155,283,669,958,123,
647,101,198,806,291,862,296,317,896,566,839,575,352,154,244,490,196,411,854,
540,216,302,234,109,099,585,212,389,138,184,142,840,825,558,505,718,348,334,
594,027,849,083,773,962,549,631,598,577,449,952,945,130,726,846,617,261,525,
074,262,472,848,965,215,132,102,155,441,522,304,398,948,183,108,495,755,399,
190,780,430,881,081,000,277,861,335,125,410,283,264,775,163,544,066,085,831,
919,652,343,938,774,116,829,206,273,080,178,320,457,570,035,421,592,313,057,
170,471,408,655,308,271,239,842,752,528,909,451,677,405,708,708,450,998,026,
961,053,098,725,661,437,806,947,454,619,426,105,695,426,986,244,948,657,862,
063,144,738,000,336,942,386,816,133,456,803,293,774,564,617,865,784,916,152,
551,298,995,331,170,026,150,971,390,311,943,124,640,394,646,315,670,303,225,
596,883,277,041,581,989,651,643,258,332,334,050,898,897,579,938,233,205,659,
572,887,893,489,365,860,120,129,481,631,590,099,530,935,835,838,715,459,723,
648,078,640,932,666,727,038,934,570,003,312,027,892,478,185,132,063,795,704,
575,237,290,601,662,385,181,722,919,094,460,096,469,207,674,266,466,910,314,
501,630,602,259,260,291,798,549,020,360,901,855,541,274,216,599,040,534,353,
326,030,035,084,039,794,779,796,202,268,040,822,540,171,278,849,610,811,063,
722,707,882,219,055,457,867,670,650,265,940,492,079,856,388,465,216,672,943,
387,312,126,652,209,530,200,389,474,114,055,577,706,751,399,217,236,671,895,
322,795,656,673,864,197,742,083,012,598,875,264,217,209,610,809,272,668,761,
418,277,637,078,142,599,801,196,491,943,001,737,388,914,203,321,186,929,309,
352,084,489,381,531,763,029,210,390,668,848,873,733,208,879,275,988,342,624,
649,213,833,500,520,613,941,406,236,591,594,308,992,800,772,033,681,302,412,
249,976,591,108,966,278,961,896,852,339,974,776,718,377,842,269,078,692,287,
027,984,816,793,968,027,763,806,940,303,712,570,558,175,583,963,706,257,507,
260,473,616,588,379,717,421,964,026,969,478,411,400,109,840,940,161,371,205,
303,859,056,549,276,755,261,384,537,712,935,061,240,428,048,625,664,091,716,
417,673,968,102,120,025,912,347,461,300,825,943,656,917,157,134,052,718,407,
726,888,557,050,246,378,697,920,887,544,236,801,550,028,602,976,557,092,129,
535,757,411,195,791,065,795,210,459,565,305,409,328,574,185,153,241,659,630,
497,054,143,591,282,468,082,161,166,325,430,541,276,884,288,420,447,704,566,
205,460,405,979,746,548,860,521,536,409,991,141,024,858,520,873,009,623,540,
230,915,922,794,636,956,131,078,335,736,316,269,419,384,364,534,274,119,502,
876,679,350,463,704,134,321,648,231,936,982,199,015,831,910,153,703,854,659,
121,114,494,654,352,505,005,504,984,701,570,701,951,771,641,366,769,331,182,
961,527,865,035,482,098,556,182,204,447,174,680,038,699,900,173,642,245,146,
296,408,561,158,135,572,909,399,457,800,301,194,018,382,659,869,592,036,346,
251,050,124,432,454,830,328,582,693,955,580,513,293,838,634,888,386,080,010,
136,154,166,572,213,754,979,773,872,076,632,718,171,676,282,878,032,874,922,
100,943,598,810,335,627,977,045,309,584,862,259,095,348,507,650,101,871,565,
705,427,115,978,329,222,306,949,454,683,874,931,270,445,293,213,557,359,610,
245,125,280,876,584,985,968,303,450,793,816,896,219,710,276,558,708,525,767,
928,594,243,126,086,441,874,057,733,886,253,446,291,022,764,109,816,740,131,
177,139,043,877,934,956,772,723,277,539,795,899,191,759,796,477,054,915,177,
050,704,956,898,050,930,083,037,423,477,971,460,143,298,740,245,322,996,937,
233,792,874,171,294,797,618,364,383,116,158,492,696,959,861,232,482,390,168,
354,326,413,983,711,335,621,012,982,259,200,996,262,786,718,489,510,615,991,
658,162,706,271,593,009,306,325,114,234,802,548,518,338,143,220,970,652,839,
067,794,507,453,398,469,790,217,942,257,415,890,496,735,329,039,297,799,409,
887,446,945,358,680,078,342,192,029,255,351,688,930,128,250,477,648,479,167,
518,262,789,002,400,952,649,658,051,342,855,540,299,925,859,510,773,362,633,
218,235,556,553,426,942,270,078,409,702,493,237,135,341,518,775,156,325,813,
596,406,230,188,200,832,015,211,813,051,639,468,181,188,529,632,401,673,028,
521,012,817,025,667,179,122,763,938,543,370,517,162,965,191,304,516,747,061,
770,413,241,064,567,635,373,796,189,446,970,821,025,957,970,911,989,761,119,
982,288,502,401,278,846,040,786,572,944,975,897,328,198,712,390,719,240,152,
797,856,729,650,345,842,231,271,586,060,193,404,625,668,998,665,823,434,459,
002,797,039,082,283,458,045,710,749,868,451,296,475,517,750,236,900,421,474,
740,169,965,339,333,454,118,587,179,843,121,569,177,086,505,811,094,748,431,
870,108,333,768,872,074,490,730,345,110,370,011,423,342,998,265,932,452,879,
140,595,063,066,865,881,125,336,604,445,158,273,260,311,884,229,872,071,387,
284,222,338,837,894,823,506,471,626,903,266,106,269,305,855,774,304,352,627,
578,194,974,332,231,294,940,332,484,230,041,214,623,227,257,168,038,999,235,
959,840,450,919,943,550,166,949,720,639,121,708,247,583,948,085,402,273,948,
818,808,616,322,929,399,739,435,043,765,771,630,574,965,926,418,358,879,808,
596,032,162,253,143,515,900,773,285,947,819,096,806,302,644,720,246,622,071,
793,867,770,458,236,244,411,442,449,345,337,897,462,473,692,921,495,668,766,
663,548,602,889,144,974,099,906,411,841,117,167,325,903,885,438,457,532,789,
420,757,053,526,644,798,054,434,038,092,126,912,059,311,203,073,797,343,843,
558,863,279,393,592,844,699,836,452,901,104,707,494,174,769,374,927,222,526,
704,636,455,633,535,736,062,288,627,490,613,313,365,048,785,824,479,980,422,
284,657,855,845,579,102,965,410,649,276,461,431,481,883,903,734,517,388,751,
304,719,499,603,117,706,620,675,467,582,336,176,833,278,087,847,914,590,325,
538,153,844,972,609,858,901,474,394,801,063,276,538,139,350,140,587,511,254,
611,570,088,242,546,832,341,440,774,891,865,662,266,457,849,545,982,186,058,
492,241,827,951,679,609,165,708,742,488,061,727,135,637,781,311,019,933,301,
024,926,893,583,979,328,546,033,996,111,608,918,628,116,979,359,543,269,136,
972,494,805,464,444,368,678,355,200,339,381,754,163,056,496,592,663,936,477,
802,928,096,781,229,860,004,849,684,199,627,362,875,758,158,644,514,350,743,
505,930,781,591,191,217,333,091,247,697,435,450,441,445,709,708,952,216,231,
389,356,644,123,009,423,649,899,059,363,225,489,247,139,057,670,050,369,046,
228,643,009,243,097,197,373,249,695,726,571,581,006,606,135,503,717,328,859,
912,803,368,742,561,683,928,823,813,417,157,445,258,995,303,307,955,269,352,
371,181,336,681,994,017,469,487,036,767,255,682,152,280,689,727,660,774,177,
753,342,254,271,411,416,696,454,501,997,643,744,766,567,496,469,681,345,036,
336,407,825,272,755,471,185,164,861,515,904,726,937,368,951,525,395,962,831,
841,443,421,098,814,568,341,703,800,250,021,275,978,682,289,577,055,906,132,
223,524,571,819,728,731,600,043,140,948,271,895,941,475,035,956,552,532,514,
942,855,778,546,044,714,383,979,142,497,243,266,533,819,050,894,170,167,746,
523,692,534,221,342,993,990,710,583,311,225,394,830,484,177,282,013,925,397,
185,950,278,193,476,647,578,889,381,083,499,353,039,362,054,116,158,246,446,
930,443,815,788,240,561,369,127,691,573,451,270,664,971,237,908,428,891,037,
574,572,728,727,656,441,880,552,118,665,552,779,871,220,463,701,160,690,585,
019,536,573,113,165,417,693,582,396,503,999,207,847,207,237,669,515,382,384,
744,921,792,433,142,664,809,415,775,036,912,980,689,410,219,973,317,596,504,
830,997,625,059,074,608,891,983,733,897,453,294,754,326,255,866,754,076,737,
888,901,140,307,071,587,775,287,714,447,160,605,033,040,648,596,826,475,773,
067,160,430,091,693,863,624,701,902,363,756,939,723,736,222,477,954,133,948,
852,866,559,517,527,528,489,310,737,193,375,169,606,904,534,595,004,547,333,
157,450,936,207,596,284,845,705,408,676,816,267,367,357,899,555,674,833,943,
896,888,108,497,675,254,094,474,469,943,560,458,777,231,791,119,123,743,512,
146,555,103,509,746,462,890,671,238,026,856,278,631,441,256,874,818,182,329,
267,157,580,676,976,950,812,525,691,847,366,738,611,390,244,500,444,589,226,
556,279,604,781,208,474,006,083,851,243,655,015,830,350,165,042,325,674,490,
428,602,039,983,166,843,187,392,502,593,161,268,214,085,445,091,041,082,079,
416,373,346,579,665,156,057,530,114,138,052,102,128,957,136,556,464,152,808,
454,023,110,315,930,762,345,721,851,215,986,141,849,428,941,997,731,864,308,
425,836,622,284,457,125,788,475,616,303,873,524,709,373,851,063,372,679,101,
940,017,913,267,856,785,921,690,861,851,281,441,680,869,233,473,145,457,470,
714,508,582,030,111,789,778,175,760,314,524,209,168,558,038,167,500,672,569,
505,461,289,389,074,310,714,458,763,335,107,044,707,373,007,749,548,949,556,
968,800,168,475,859,357,263,261,285,396,660,346,688,058,048,489,948,640,324,
710,082,032,045,577,136,612,375,533,995,502,156,871,322,829,028,908,282,235,
562,889,302,597,137,363,444,402,253,467,214,579,590,193,157,816,036,672,514,
728,683,902,537,891,938,659,464,372,059,615,607,062,135,817,431,035,485,616,
907,708,806,646,469,773,023,400,474,636,126,040,029,998,067,798,775,813,223,
436,603,467,699,204,376,780,126,018,024,753,402,633,513,547,220,822,078,391,
560,794,409,505,369,050,803,249,083,561,217,263,188,819,822,520,032,234,678,
252,888,318,916,996,257,406,193,421,832,719,633,899,239,456,666,754,299,203,
072,516,588,447,155,174,299,945,918,080,744,844,744,618,785,762,979,052,311,
689,405,974,339,592,785,382,256,524,417,829,451,474,360,000,143,483,186,518,
320,571,184,911,793,008,728,266,847,057,015,427,398,241,672,945,495,778,303,
372,672,703,029,073,226,581,791,154,366,439,347,058,449,418,628,830,916,793,
393,847,750,679,891,828,403,341,894,695,755,119,499,642,169,710,414,525,683,
298,446,977,790,454,886,762,482,774,630,746,003,079,264,521,507,322,093,209,
839,101,200,503,500,620,112,413,488,542,315,948,668,004,948,439,763,559,013,
819,223,228,041,723,433,023,625,407,693,187,748,186,852,495,889,968,052,223,
960,398,523,831,451,314,300,272,022,963,002,249,002,046,179,342,989,917,493,
689,172,881,908,821,118,651,324,776,022,213,205,393,376,042,496,917,588,812,
238,120,520,490,476,629,609,064,161,659,046,544,890,037,149,806,781,665,996,
133,394,892,485,283,263,750,735,603,507,556,694,487,957,914,723,365,543,600,
265,190,773,949,482,103,715,197,126,448,202,555,281,319,927,134,448,523,687,
430,946,754,942,049,628,787,912,756,347,049,048,506,866,541,463,704,130,276,
169,716,874,506,193,396,614,590,550,077,715,876,360,164,217,031,174,364,666,
661,626,454,284,807,460,355,752,788,414,657,532,223,179,751,888,470,947,726,
681,101,941,985,408,652,979,277,041,312,881,333,024,676,011,010,996,693,908,
174,163,586,432,281,236,807,173,277,278,109,720,460,290,326,367,600,157,103,
929,780,358,032,794,919,563,877,310,659,311,270,567,839,748,432,156,719,174,
158,023,278,966,877,634,968,055,800,192,601,115,680,113,178,203,419,582,539,
581,676,417,248,262,005,208,877,672,986,600,700,623,421,464,918,309,722,950,
465,286,232,215,937,545,870,434,625,918,464,608,575,465,924,181,592,587,867,
375,998,962,503,098,974,850,881,772,553,377,069,773,104,751,829,816,412,816,
209,374,700,826,849,264,071,100,437,728,738,409,924,726,091,787,067,231,888,
027,406,638,209,129,574,264,920,931,602,702,541,092,794,389,659,888,961,333,
388,573,028,929,687,940,844,290,827,387,260,886,624,790,354,373,387,257,074,
287,254,480,418,693,560,091,817,064,230,465,574,947,259,798,837,800,749,266,
981,014,766,189,516,891,050,777,187,567,841,855,371,173,344,854,860,892,673,
683,500,136,848,619,536,962,229,540,639,592,687,094,175,268,317,990,704,041,
714,667,029,571,529,687,025,841,868,900,483,616,741,328,269,729,121,003,540,
983,217,865,159,542,021,373,605,407,387,223,581,297,569,489,983,886,012,634,
794,223,457,610,134,613,051,073,042,901,727,406,053,435,608,673,306,613,156,
229,995,014,763,729,846,267,597,701,153,480,908,006,172,494,214,371,306,952,
350,321,178,456,317,879,445,241,732,990,779,405,300,048,910,263,729,288,275,
929,993,976,822,891,054,543,809,153,402,540,566,916,078,777,543,230,716,228,
060,904,299,488,550,199,002,890,785,280,304,143,954,700,159,623,825,514,261,
649,844,745,708,295,580,095,941,822,594,990,394,126,352,888,816,527,748,201,
436,368,679,102,484,820,953,149,410,005,368,435,781,427,558,568,380,781,873,
803,187,078,939,333,922,180,621,423,794,066,442,633,597,227,814,391,753,080,
437,407,633,898,256,825,108,259,018,317,069,554,657,433,678,985,411,886,519,
767,442,797,793,062,690,564,879,280,336,267,084,877,046,123,637,296,378,237,
160,531,725,247,892,399,325,193,165,183,133,064,532,911,660,691,397,377,552,
038,329,573,221,574,899,060,164,441,049,726,582,190,859,575,501,900,825,825,
302,882,732,632,876,978,563,643,905,250,610,778,019,001,569,745,616,543,419,
766,204,812,036,777,489,665,397,696,179,223,893,287,182,408,723,908,654,785,
984,511,124,498,751,212,167,276,226,248,230,413,453,802,683,128,409,011,313,
259,893,232,981,346,619,081,470,849,155,391,762,239,381,664,732,221,767,738,
132,516,187,408,878,303,649,692,769,493,557,650,686,769,224,661,752,502,939,
114,520,446,472,986,307,828,347,285,321,427,689,093,635,177,573,427,890,604,
529,926,454,403,232,123,259,562,786,849,984,262,387,735,522,858,654,848,696,
630,845,810,554,350,684,748,227,963,177,377,793,204,967,341,761,233,332,152,
158,962,121,246,257,362,059,618,385,696,093,586,209,223,863,872,508,446,890,
794,724,740,843,281,509,782,115,762,136,060,519,820,063,000,348,726,439,201,
652,482,590,624,375,818,542,884,211,183,223,410,229,951,919,291,477,261,357,
737,280,842,186,103,137,895,370,014,461,725,683,784,650,797,088,612,415,212,
303,430,530,854,164,204,623,426,110,655,926,573,565,017,389,985,955,847,589,
367,516,236,196,692,055,161,466,155,381,552,878,503,680,531,522,715,187,072,
935,580,479,945,874,501,758,912,449,777,085,702,602,427,794,456,817,292,743,
495,915,202,289,279,707,595,808,940,231,353,769,795,238,820,825,864,862,085,
861,774,824,622,352,510,704,470,816,887,979,732,445,424,054,462,535,191,427,
701,852,570,588,189,525,127,762,169,146,429,492,707,647,906,801,514,282,905,
810,785,734,044,586,809,797,039,303,669,783,967,565,664,618,382,957,171,049,
190,760,885,429,915,722,406,625,175,073,340,054,504,323,061,856,559,002,571,
005,949,624,002,660,678,620,946,032,054,805,472,356,133,993,749,828,306,665,
678,643,240,553,446,541,667,347,330,002,436,915,731,474,640,701,882,058,078,
725,166,640,127,539,248,584,076,089,077,630,808,893,351,513,193,316,104,021,
639,968,055,565,743,258,365,744,611,862,418,646,855,704,397,068,063,127,512,
832,885,258,233,956,016,812,092,120,631,964,368,325,911,720,168,283,383,699,
314,613,703,387,724,289,207,787,760,526,766,588,868,927,535,367,125,868,490,
076,942,803,100,828,803,847,671,701,375,668,191,513,166,444,189,949,757,646,
175,670,204,328,330,759,577,924,297,085,684,963,843,900,656,377,051,060,213,
204,826,940,779,594,618,679,781,993,766,036,149,605,184,845,877,232,919,622,
822,057,378,722,358,537,083,152,207,184,107,580,230,643,732,633,500,837,459,
216,260,256,358,698,805,101,691,797,367,820,439,470,299,428,437,848,055,490,
332,312,448,275,996,124,417,152,076,034,227,033,689,442,739,055,998,307,717,
284,626,229,540,327,788,224,928,436,348,245,204,213,077,703,343,674,086,454,
153,280,697,826,637,509,114,606,026,861,473,166,307,225,882,787,823,784,509,
633,016,504,491,702,686,621,072,221,833,182,185,716,325,338,228,449,211,463,
721,560,072,872,752,628,795,180,191,803,091,404,110,781,573,148,166,527,277,
841,051,187,577,380,167,070,753,975,350,781,246,716,779,377,640,755,330,009,
665,788,725,738,703,283,672,045,405,807,565,879,964,756,565,180,993,806,085,
021,888,316,272,202,918,235,962,762,087,237,111,455,278,849,151,083,496,632,
005,162,252,048,454,395,660,605,348,233,909,261,479,962,517,403,489,765,421,
717,922,550,054,017,678,474,356,977,075,556,907,718,495,246,786,228,672,713,
283,924,029,574,893,860,023,510,261,253,373,376,426,019,548,176,831,146,391,
797,323,611,186,835,624,789,198,104,762,057,391,058,578,248,769,668,803,634,
630,372,689,355,682,423,267,897,529,305,890,236,307,860,845,058,178,649,482,
753,517,637,788,683,700,095,705,201,414,582,836,165,410,105,279,846,100,161,
906,299,746,797,168,652,981,717,912,680,873,497,434,630,787,282,035,809,855,
282,203,045,094,824,554,566,196,888,648,823,112,343,872,955,455,432,485,726,
513,935,703,295,565,188,052,852,689,945,294,135,676,238,319,953,846,165,131,
799,672,224,967,302,946,516,853,465,912,236,276,823,014,830,057,831,034,891,
064,503,962,045,141,040,872,886,787,997,304,654,959,966,528,153,036,227,331,
136,182,303,784,651,082,939,737,918,982,665,070,507,708,652,850,716,191,754,
548,723,532,104,951,688,021,295,758,003,791,575,378,393,432,154,985,396,342,
701,557,227,582,458,203,911,490,484,946,760,762,817,293,967,015,996,413,694,
564,251,954,709,350,557,797,467,461,639,468,027,166,964,658,043,162,250,705,
644,961,971,674,026,002,764,556,010,909,552,436,513,420,674,343,300,230,794,
365,077,864,896,545,709,004,488,275,083,469,025,258,300,271,376,181,952,497,
421,070,543,753,420,112,817,512,522,827,954,771,513,177,868,660,606,156,275,
666,250,435,572,672,991,657,939,359,733,110,400,826,860,412,812,628,904,214,
487,907,140,231,307,400,067,120,963,132,923,721,751,420,188,855,278,899,349,
768,743,823,872,737,203,945,748,242,312,098,762,351,992,885,729,006,251,713,
332,143,211,160,219,438,083,800,671,361,439,866,870,319,727,202,672,511,498,
274,506,668,360,306,253,234,388,088,661,579,784,502,448,638,247,341,524,582,
144,468,452,480,215,385,398,669,054,544,069,123,700,241,685,560,592,567,126,
739,506,320,550,588,387,543,334,863,137,705,703,615,692,929,721,250,483,869,
743,179,233,443,345,227,752,552,846,753,073,808,324,330,406,826,330,079,868,
129,793,048,228,778,716,706,418,683,140,811,278,768,650,913,973,955,500,246,
021,255,846,440,569,510,821,474,428,387,416,524,869,502,387,060,972,953,712,
252,285,169,174,620,176,373,595,146,591,461,355,384,404,443,854,791,546,317,
071,197,553,075,069,223,230,484,611,537,136,839,093,912,479,761,693,028,675,
585,931,414,055,602,214,206,982,542,584,212,402,465,929,052,410,323,148,288,
795,770,556,912,225,446,813,246,737,302,720,623,608,822,569,853,011,982,655,
286,883,569,828,026,196,626,600,192,867,928,527,984,292,841,379,923,407,670,
264,825,610,649,747,526,103,386,197,176,519,281,117,066,159,263,182,583,497,
403,644,062,447,359,432,432,797,374,541,122,793,300,973,123,327,032,491,219,
887,671,386,945,538,932,773,601,843,889,672,470,368,825,195,265,700,764,754,
837,289,910,892,982,101,476,088,273,616,909,837,155,635,634,203,163,389,282,
480,231,806,647,923,978,725,965,982,230,111,161,915,382,965,621,547,811,866,
210,510,635,908,178,897,141,254,774,802,851,465,856,261,690,415,651,405,624,
768,563,232,598,130,242,394,664,668,894,627,848,975,092,212,692,525,007,074,
688,594,330,846,614,483,579,142,055,350,415,849,093,509,580,895,242,765,517,
309,566,532,145,968,999,835,874,167,851,407,539,870,840,680,930,906,723,921,
515,525,889,082,833,648,587,830,870,735,057,170,908,950,498,343,619,765,212,
999,499,257,833,458,096,531,927,218,763,452,267,608,206,329,672,089,284,730,
777,350,161,055,885,524,593,420,581,692,837,768,861,602,336,673,564,413,786,
491,159,230,891,613,704,225,562,323,331,307,592,977,797,637,435,122,496,197,
952,398,748,250,429,209,723,550,795,676,633,142,695,096,717,319,888,956,172,
860,409,655,537,628,899,494,771,137,348,262,038,903,774,371,612,614,597,063,
353,839,349,624,548,343,535,883,924,698,192,341,948,656,051,693,217,382,434,
618,133,106,263,345,054,365,927,393,915,223,930,690,103,329,869,345,356,560,
747,066,147,074,565,789,071,007,151,296,306,114,106,215,442,227,991,982,517,
711,943,643,441,754,210,895,603,472,044,426,266,274,213,589,346,754,187,213,
969,144,711,599,485,730,656,542,367,862,704,724,083,870,633,303,425,323,856,
005,981,681,115,058,576,113,194,435,865,428,607,288,507,313,148,353,478,425,
337,777,633,612,524,011,250,630,925,932,116,197,143,642,413,241,521,754,122,
526,740,204,533,209,779,085,761,393,592,345,566,469,700,457,863,018,072,192,
531,192,626,847,667,684,134,768,352,363,002,879,358,314,140,645,879,067,688,
432,275,738,773,138,018,283,552,245,489,540,842,477,306,967,357,905,457,946,
484,807,549,409,654,067,009,597,899,075,226,356,275,152,034,909,403,225,141,
358,236,233,050,137,058,352,217,727,690,038,001,409,830,820,420,306,716,209,
316,762,278,476,152,574,231,021,158,273,997,482,475,761,330,765,099,771,104,
213,005,861,517,736,290,238,585,938,208,084,658,748,720,223,799,339,653,056,
063,729,983,085,757,963,608,725,766,702,008,038,890,996,684,624,634,702,455,
554,026,971,477,483,986,844,975,897,399,139,048,628,341,611,634,310,193,684,
303,207,356,118,177,823,693,330,942,220,892,322,839,039,746,658,820,189,510,
417,931,266,591,543,390,279,321,917,209,209,525,239,841,601,688,513,098,506,
135,964,274,902,898,903,508,633,412,048,636,264,643,828,794,950,064,086,222,
873,345,225,659,711,411,967,145,356,411,433,670,759,887,383,787,276,400,620,
403,499,253,485,538,416,465,331,484,735,425,917,559,491,159,777,870,573,368,
252,304,223,106,850,752,102,296,051,517,250,451,675,260,803,715,637,145,265,
457,336,170,555,547,021,406,313,118,782,702,161,457,866,403,785,364,453,117,
927,722,866,142,376,817,939,378,564,401,405,017,470,515,958,502,564,178,206,
316,724,182,215,053,562,181,730,381,423,900,267,841,946,538,081,163,714,294,
412,622,583,793,570,391,479,986,428,180,095,243,256,502,555,687,908,159,426,
230,693,196,858,833,609,871,772,457,096,884,998,268,922,905,129,814,926,651,
107,795,997,301,814,560,648,786,993,140,350,949,655,659,750,086,075,986,943,
695,587,244,814,469,663,686,390,217,451,837,898,712,401,203,369,980,038,106,
624,441,020,578,152,679,667,707,348,937,168,006,518,666,953,111,559,201,690,
631,016,063,708,588,928,585,113,270,898,919,032,618,450,632,127,783,145,412,
444,035,302,392,882,093,993,776,650,572,708,712,318,315,264,105,281,338,673,
334,331,253,887,361,509,621,394,735,683,138,621,670,104,888,416,447,353,946,
459,364,093,619,833,476,109,860,424,059,835,663,726,304,395,042,631,812,124,
286,251,217,893,062,602,629,198,288,157,387,157,409,789,399,578,993,863,326,
796,121,844,147,660,535,089,412,695,349,699,001,832,923,387,538,037,774,329,
150,237,476,190,276,772,614,609,735,299,582,275,633,832,118,289,046,637,548,
991,322,567,932,633,379,653,262,689,307,722,510,446,277,609,536,253,042,592,
434,685,361,859,367,380,723,368,022,113,109,063,503,677,996,331,683,602,769,
270,261,894,481,124,605,275,405,936,867,158,447,887,967,687,573,989,917,362,
346,754,959,919,141,708,549,195,316,601,927,645,680,075,291,989,524,120,517,
192,711,729,205,397,112,539,473,771,357,282,541,584,772,417,150,756,471,752,
749,879,493,702,985,227,617,174,407,932,587,562,253,059,801,431,926,630,044,
500,575,498,757,420,113,358,801,998,399,891,033,103,818,955,166,128,590,597,
120,135,433,820,044,648,190,063,163,818,681,130,452,633,247,514,347,311,277,
127,315,098,881,259,313,967,678,255,158,489,639,775,350,243,219,494,768,779,
286,100,556,680,370,114,143,029,682,950,810,990,343,817,018,653,641,635,543,
413,710,273,478,319,999,620,584,861,310,571,045,741,198,604,632,080,111,930,
207,424,936,949,653,465,375,630,535,380,610,155,033,294,006,219,437,731,287,
498,431,573,701,457,936,554,421,881,258,323,495,525,063,811,178,472,548,494,
767,091,045,820,910,950,341,928,045,076,275,381,920,118,879,245,868,401,886,
758,564,971,696,076,041,016,495,496,256,819,423,346,727,092,369,501,889,999,
490,070,976,685,019,033,394,138,442,791,282,309,259,165,806,114,098,218,501,
622,047,531,695,946,715,514,956,780,209,612,805,111,789,056,973,039,982,975,
854,958,091,528,581,345,147,299,482,084,910,556,128,543,598,975,984,269,232,
024,523,284,928,501,510,688,404,337,699,074,761,584,331,977,461,971,077,728,
846,696,397,515,239,945,670,991,415,346,189,073,031,478,123,029,504,972,660,
420,921,298,699,968,699,217,582,217,206,936,542,971,051,509,257,691,323,691,
825,513,353,506,861,504,083,049,691,178,111,277,344,404,669,937,722,690,214,
938,360,439,377,033,665,724,768,542,926,434,045,967,117,190,073,519,053,368,
288,489,293,841,637,661,014,268,861,310,267,226,847,737,923,499,457,627,739,
279,593,616,467,102,509,814,574,883,688,660,004,525,833,889,344,636,162,633,
405,872,877,809,148,038,299,379,569,425,266,455,272,787,621,200,273,261,080,
685,888,611,893,530,762,769,475,615,877,156,242,800,349,077,052,026,574,316,
687,562,360,532,817,761,668,084,202,538,780,568,639,664,841,023,616,621,620,
324,177,446,969,429,045,522,023,861,015,257,769,268,410,369,259,241,375,977,
268,475,969,843,709,054,970,398,173,379,463,978,567,576,988,162,430,284,426,
221,774,037,294,540,918,833,755,509,957,515,228,388,371,326,511,401,033,537,
999,094,824,844,112,493,155,935,558,137,496,809,257,967,467,381,237,207,776,
350,111,091,834,787,197,040,791,340,332,791,390,144,273,095,408,313,811,780,
655,196,881,950,873,118,190,921,630,882,018,545,965,485,846,711,081,097,388,
576,672,391,878,796,380,248,986,917,435,961,971,479,049,482,714,614,679,243,
482,059,765,782,251,610,867,331,306,606,174,384,641,879,059,516,851,592,542,
245,719,555,279,242,293,480,716,331,212,777,141,168,805,386,369,956,280,663,
071,102,338,362,717,766,847,726,469,520,385,802,237,356,797,771,116,078,999,
281,846,529,102,193,015,265,120,031,231,781,249,731,121,753,134,013,230,185,
474,057,609,329,193,164,725,611,487,492,061,419,532,627,079,518,910,465,974,
066,491,302,459,629,674,027,717,582,611,200,800,905,055,681,138,474,485,275,
637,288,192,658,165,866,198,492,856,343,956,661,071,914,760,410,626,008,255,
811,813,330,280,674,287,948,453,008,497,685,519,522,248,966,793,213,806,128,
830,973,971,724,786,536,360,949,265,448,148,750,723,604,413,439,016,868,043,
643,926,223,363,530,568,713,277,747,373,182,891,918,791,889,746,106,264,379,
080,224,368,855,592,591,867,917,112,555,202,830,766,582,602,691,604,472,164,
699,012,451,919,963,940,319,283,812,370,960,445,921,248,605,601,741,498,652,
512,350,689,942,887,884,578,784,226,365,518,249,202,238,214,730,770,749,331,
073,311,940,661,018,124,563,417,984,664,424,071,487,503,219,399,189,228,961,
320,984,149,005,840,133,907,001,701,368,900,281,661,087,002,629,775,270,511,
234,737,524,464,826,504,705,575,823,464,814,385,950,737,454,429,037,718,425,
350,109,584,048,234,912,377,691,076,998,339,629,211,513,849,327,472,891,301,
133,198,550,736,349,989,363,986,985,819,808,909,288,082,053,433,648,295,064,
383,309,722,503,893,771,019,857,759,806,708,355,697,624,735,895,672,177,869,
350,739,529,261,606,324,058,896,996,683,592,721,739,981,463,358,191,808,628,
327,111,343,343,554,627,213,063,920,611,839,131,446,214,901,377,288,881,308,
775,441,185,717,708,047,369,731,607,680,607,800,443,162,117,082,960,883,359,
196,292,113,269,927,970,646,202,447,754,896,736,875,085,759,340,866,341,398,
436,859,887,388,141,342,442,542,954,120,248,385,651,801,162,838,406,084,235,
172,004,261,522,037,473,427,177,586,909,046,529,057,557,628,021,090,488,032,
033,392,147,526,931,244,397,915,282,241,434,880,826,777,589,067,307,524,630,
499,906,470,340,739,773,128,059,050,860,961,198,186,367,452,092,815,415,542,
345,427,798,834,277,867,205,759,540,894,923,867,501,207,246,462,436,992,827,
752,773,286,075,290,099,430,817,942,767,122,470,143,976,320,244,812,667,797,
374,166,953,861,620,742,295,899,619,463,060,355,059,605,617,085,606,076,245,
299,188,679,460,615,043,123,560,024,502,534,052,930,994,685,395,307,287,793,
013,731,477,695,788,606,439,576,817,931,093,751,081,691,930,567,682,298,636,
330,828,871,775,807,486,172,479,293,995,347,802,116,167,705,329,769,087,573,
219,869,682,705,030,350,563,396,265,332,762,879,357,480,108,054,193,652,785,
402,293,657,699,217,522,988,626,588,059,224,601,463,250,780,020,507,260,941,
095,507,913,872,068,588,676,775,392,201,823,148,933,244,570,117,325,351,588,
608,757,616,228,510,555,219,870,754,241,183,620,349,297,912,101,679,420,243,
945,891,272,649,145,090,369,899,822,081,543,451,252,308,075,373,131,757,690,
089,937,376,744,087,904,446,699,645,006,362,642,817,597,624,726,598,421,647,
880,787,727,169,156,817,418,513,732,911,287,708,466,952,188,005,613,238,573,
584,920,689,270,106,721,115,358,059,385,848,255,349,064,911,037,979,171,260,
918,479,743,259,740,490,765,510,915,842,842,116,042,208,560,586,727,794,129,
781,703,153,879,200,200,621,932,037,165,948,864,891,674,058,720,832,355,246,
878,646,790,090,557,224,922,148,490,349,041,727,162,949,520,048,536,556,807,
352,972,214,323,532,202,670,217,843,051,048,801,306,320,479,559,222,364,319,
489,905,026,316,269,404,953,006,051,904,044,228,061,543,858,760,762,193,027,
218,782,709,328,806,049,327,454,049,153,769,354,793,616,769,683,493,715,912,
041,063,118,566,414,604,103,756,759,804,498,502,933,185,376,114,877,234,197,
471,098,830,336,185,026,541,029,372,812,145,819,495,002,644,488,779,479,512,
344,386,738,865,376,453,609,036,220,151,106,584,001,800,224,877,481,386,924,
236,499,847,781,190,732,894,781,800,817,224,942,804,558,002,024,262,611,854,
658,584,530,549,398,412,042,273,546,186,836,655,119,670,242,523,062,424,143,
739,892,129,703,331,672,519,398,784,719,020,478,509,116,181,299,449,090,044,
172,237,224,591,459,550,090,649,237,123,037,734,040,952,347,842,792,955,435,
786,195,180,904,874,154,647,700,390,352,944,204,045,081,828,494,184,720,740,
611,516,249,563,488,523,395,882,654,424,794,093,041,898,450,779,844,353,045,
328,349,041,280,536,024,339,343,509,094,210,138,522,131,786,122,230,896,342,
983,961,269,752,438,122,479,594,397,009,773,472,435,250,674,485,564,779,805,
979,208,383,615,440,162,399,309,386,306,090,901,423,813,010,662,630,445,240,
919,153,963,495,232,159,968,729,376,964,071,061,060,609,425,069,227,423,303,
474,806,048,360,588,614,802,027,039,319,818,696,057,839,263,172,984,919,596,
991,214,588,354,298,217,759,265,425,050,041,651,833,120,908,083,485,313,961,
346,188,860,330,821,341,745,238,863,454,335,506,823,171,136,317,270,536,419,
010,310,760,701,838,113,648,903,992,317,167,558,594,808,629,983,024,752,720,
013,238,661,580,159,400,020,823,650,339,568,912,461,238,190,981,488,987,268,
239,796,974,232,118,978,492,026,437,288,165,885,810,156,850,447,018,330,555,
347,060,546,371,110,655,877,294,362,443,497,608,012,055,917,733,156,194,509,
788,474,936,807,925,191,945,689,578,284,586,882,537,614,172,659,872,515,631,
367,038,174,630,842,479,795,606,162,641,350,026,385,719,409,061,900,265,289,
542,389,547,094,025,043,529,333,855,099,652,529,214,442,444,773,194,473,630,
458,950,343,789,784,974,728,624,818,018,437,225,283,031,826,261,084,978,493,
490,650,688,019,402,766,230,538,183,936,131,620,380,907,793,444,769,164,265,
537,416,491,487,447,257,432,963,400,159,055,509,817,386,335,002,607,321,491,
777,204,001,845,785,358,903,442,995,732,676,907,532,128,643,691,623,382,525,
471,893,842,831,889,282,555,647,287,121,228,722,683,782,741,628,045,609,809,
382,773,038,606,672,979,394,230,851,077,162,429,081,344,847,127,712,950,641,
141,013,619,313,955,480,050,584,958,859,932,758,753,723,669,659,142,747,328,
729,418,589,702,807,099,852,697,275,904,269,434,439,758,903,889,926,719,642,
336,788,687,780,749,235,182,255,638,615,861,024,064,407,322,185,420,800,387,
006,941,255,251,956,536,433,072,583,140,829,242,297,513,695,481,716,771,624,
968,992,971,328,505,573,282,622,089,545,430,935,921,005,229,402,360,465,960,
402,918,595,514,774,784,006,402,529,171,537,846,322,433,770,144,813,454,473,
045,410,511,478,189,950,883,743,548,886,654,666,940,053,991,262,824,700,470,
270,746,452,234,311,582,363,419,272,276,236,778,350,207,799,712,565,957,802,
504,079,746,801,057,730,921,606,063,199,873,707,091,865,050,672,456,658,998,
272,171,947,364,736,467,621,880,494,169,006,971,138,088,110,169,840,848,332,
160,325,943,705,112,443,389,995,050,206,737,506,377,744,667,132,918,382,252,
581,900,703,302,867,370,441,513,803,441,162,044,582,428,148,914,312,379,840,
215,373,163,389,800,171,356,921,774,440,378,591,703,945,301,299,063,871,500,
612,432,923,465,283,164,736,954,077,148,249,028,088,615,151,828,640,808,552,
801,858,895,572,586,616,261,339,597,037,384,412,968,867,443,595,916,470,272,
319,366,193,563,645,159,967,440,227,326,109,681,245,809,135,774,590,896,729,
866,970,003,689,064,582,706,005,391,387,322,718,829,991,933,345,694,483,805,
403,481,619,409,296,966,814,779,229,901,516,482,506,706,651,352,269,895,340,
645,207,004,386,757,159,455,394,238,837,957,424,739,518,778,705,820,871,867,
905,264,208,638,210,515,147,903,597,992,900,204,000,222,600,337,076,836,904,
622,195,983,985,758,493,103,402,660,464,361,069,767,370,554,535,163,710,469,
846,137,685,564,175,040,255,694,114,829,977,096,846,338,575,705,371,128,136,
309,701,175,227,442,916,117,749,987,953,273,357,829,659,721,189,422,926,075,
057,903,723,739,478,585,017,021,990,132,452,625,681,109,116,482,833,478,428,
747,776,485,996,781,758,798,836,910,669,533,905,933,415,149,477,454,870,480,
457,478,318,078,812,986,814,732,118,775,819,236,452,225,639,436,382,703,096,
012,310,650,408,542,079,017,295,036,028,475,983,002,273,532,975,008,433,469,
383,084,197,326,235,001,865,054,279,073,305,125,123,226,197,591,549,376,675,
279,960,674,287,132,715,579,027,667,526,898,991,300,019,547,235,149,156,881,
861,210,963,387,255,245,912,505,286,665,325,853,422,655,211,209,268,378,041,
075,211,286,646,684,386,904,273,745,573,619,439,293,778,819,743,808,318,537,
589,951,328,950,624,107,599,191,181,669,766,404,893,220,326,643,330,139,550,
459,869,688,608,992,268,322,264,479,669,239,200,101,884,802,705,953,357,691,
210,673,504,858,870,565,135,247,507,468,105,242,524,330,567,018,397,695,887,
598,750,502,483,522,372,833,997,674,418,316,910,640,599,616,626,843,150,201,
193,499,846,913,919,443,242,438,014,859,084,755,657,056,029,178,345,027,859,
608,429,017,256,542,059,269,858,374,526,994,884,843,358,203,485,414,971,136,
936,308,118,972,295,366,133,654,488,379,112,741,609,039,718,983,675,004,276,
505,428,613,430,957,795,739,932,647,702,553,405,759,172,017,790,352,556,205,
130,633,378,413,367,612,250,278,478,449,694,929,859,050,130,044,181,074,617,
640,010,102,625,804,706,952,173,588,704,128,384,371,117,479,862,761,928,839,
886,056,606,239,853,287,688,937,529,588,554,602,875,711,949,255,410,735,485,
287,858,724,458,771,469,659,860,086,286,579,344,957,818,008,398,755,083,821,
863,609,107,906,235,967,979,510,064,182,599,363,182,226,879,012,402,273,696,
514,457,986,873,079,592,260,913,566,369,688,436,702,526,171,250,709,470,454,
800,798,888,040,048,873,809,451,263,544,541,996,848,533,211,106,140,161,703,
485,456,235,432,996,790,012,571,619,028,868,599,934,248,971,808,663,372,877,
282,826,680,487,045,173,462,797,194,702,624,900,620,437,611,012,795,331,578,
409,797,254,164,729,118,862,035,076,161,849,648,863,886,155,454,282,242,769,
511,511,413,665,580,903,411,655,545,356,945,276,781,353,836,988,053,088,460,
108,894,827,344,992,376,492,913,538,464,556,452,869,629,625,568,581,659,333,
798,653,889,470,704,440,604,525,072,178,931,073,368,362,395,929,236,598,733,
814,278,155,606,420,418,823,020,213,942,705,311,649,681,328,236,447,819,049,
725,313,936,704,973,223,979,968,229,619,793,863,579,379,637,996,663,975,393,
621,040,643,697,412,756,903,821,693,504,773,904,794,217,095,392,679,768,381,
952,505,521,908,346,049,551,802,331,804,980,035,428,284,400,790,556,892,918,
601,108,288,137,434,395,525,524,068,246,054,028,504,677,197,659,041,814,019,
102,099,372,648,165,437,764,558,800,165,164,690,467,247,869,196,890,538,159,
170,141,452,960,126,556,470,706,427,446,498,873,824,164,671,445,117,175,197,
477,836,640,956,139,254,096,499,109,518,071,720,900,493,756,340,067,968,525,
540,660,549,243,140,394,225,251,623,693,591,352,496,941,136,337,295,853,923,
708,143,199,547,449,888,030,820,630,820,048,257,539,513,284,551,123,209,726,
077,163,613,985,556,679,971,666,943,483,248,087,708,544,099,675,818,995,180,
963,160,727,203,181,947,257,769,892,574,256,590,650,421,485,516,802,729,064,
514,341,187,211,868,357,241,373,457,049,660,411,026,165,353,477,007,961,059,
226,035,441,324,757,447,280,072,510,271,221,266,309,163,581,239,813,024,063,
926,810,837,959,940,102,327,620,402,916,543,884,205,355,828,115,177,139,934,
720,718,498,278,977,283,870,381,902,713,653,220,499,989,756,325,354,764,584,
050,154,396,848,031,249,506,934,602,991,575,894,191,561,129,109,107,783,733,
732,085,467,747,565,013,949,077,701,805,204,738,766,380,377,394,061,952,925,
250,178,807,472,074,303,506,328,816,559,505,009,585,479,611,561,032,265,395,
070,963,184,093,781,195,296,789,536,069,311,129,495,007,209,756,906,122,268,
258,652,769,317,468,705,300,754,537,103,024,727,702,206,042,131,424,067,472,
936,576,343,941,268,064,943,908,741,155,162,477,864,511,686,574,415,305,207,
521,371,670,442,238,257,047,652,957,119,979,668,224,686,219,270,975,404,281,
535,335,025,715,754,326,360,507,016,481,392,190,424,732,740,328,667,676,328,
547,142,379,389,329,308,902,438,310,966,976,945,860,695,681,426,623,691,458,
441,573,479,257,857,359,920,542,723,012,650,927,684,140,240,834,132,277,882,
925,087,687,369,752,326,097,800,478,838,895,644,558,896,429,852,980,357,178,
480,483,121,244,829,242,529,596,343,335,621,020,737,278,832,481,839,914,980,
484,452,652,202,547,288,579,111,220,706,400,237,616,914,696,514,452,076,146,
083,032,554,861,370,929,459,336,650,586,721,841,918,762,033,490,984,141,309,
526,706,463,394,671,962,015,000,836,041,121,941,627,958,796,316,941,881,434,
342,101,737,974,057,643,443,970,980,251,466,198,286,633,637,746,535,265,592,
310,489,444,534,494,052,297,163,823,142,229,832,534,233,449,970,507,337,163,
000,669,346,487,319,343,016,204,991,763,962,851,712,851,258,355,359,708,170,
396,104,422,912,703,163,170,543,581,749,468,053,747,765,310,460,918,269,068,
339,723,398,413,908,956,557,335,031,999,225,530,245,700,262,588,948,341,480,
357,786,726,471,917,244,168,132,139,927,361,819,031,958,874,123,867,629,644,
925,100,116,284,726,784,108,184,190,787,862,226,976,623,652,746,608,434,726,
356,182,598,803,349,893,138,707,945,447,984,767,775,664,552,170,516,282,737,
347,729,606,307,625,047,507,443,056,784,556,572,294,980,264,735,184,580,136,
273,680,981,936,217,745,490,842,152,621,749,215,847,483,264,090,886,374,699,
009,181,853,935,803,742,282,769,736,290,955,457,793,292,837,409,397,199,478,
844,229,791,790,607,682,989,372,782,028,022,179,168,325,148,181,525,253,518,
567,056,768,580,917,165,720,139,926,608,925,139,586,668,824,633,720,846,540,
740,626,791,107,062,509,232,479,716,968,600,498,585,233,270,865,871,517,480,
922,395,005,832,831,930,205,227,620,033,791,750,484,929,783,343,920,654,234,
394,877,955,835,479,922,029,116,954,964,994,413,100,688,896,496,924,271,308,
276,087,686,820,877,989,338,948,526,870,915,431,423,116,410,442,441,735,270,
331,806,316,692,366,716,303,258,267,134,297,742,678,697,733,616,112,883,391,
462,074,717,096,292,645,246,437,039,431,341,226,023,282,103,864,650,281,564,
855,766,272,237,508,289,173,276,186,437,363,806,757,324,976,374,526,939,848,
189,701,031,780,371,577,188,182,806,583,713,682,313,100,196,906,985,732,204,
388,329,033,596,871,900,410,797,526,962,353,821,871,246,366,779,302,619,962,
849,459,777,544,322,023,438,259,145,723,762,950,912,382,279,683,055,876,491,
012,367,861,516,984,267,508,836,249,794,830,666,890,808,733,031,153,562,629,
574,893,036,697,530,888,163,253,377,354,351,983,042,116,891,254,421,208,826,
328,391,510,506,526,425,868,509,851,965,641,172,231,869,325,411,323,372,075,
314,532,731,373,839,171,356,198,217,716,598,386,351,925,661,004,373,289,754,
854,024,393,892,471,715,309,797,091,641,315,412,984,679,104,991,745,741,211,
173,902,799,318,781,167,935,991,681,890,298,872,478,109,165,678,145,453,278,
862,875,313,024,265,849,380,809,811,047,741,036,070,852,049,577,004,437,355,
483,910,344,546,535,893,984,779,764,426,776,143,058,913,892,734,824,791,867,
275,493,582,017,661,870,205,595,511,269,130,436,449,438,838,465,624,473,839,
037,608,733,716,273,785,817,732,263,905,562,040,892,188,131,827,282,898,898,
830,152,118,922,588,814,842,089,190,033,154,496,591,307,607,776,958,273,962,
025,298,502,669,681,503,429,502,195,125,060,834,070,456,613,981,777,848,117,
780,095,153,152,389,878,149,502,686,589,615,868,397,625,410,897,665,804,504,
696,560,090,168,020,918,524,307,531,351,843,251,887,230,402,506,321,930,795,
507,393,341,836,260,566,049,396,823,315,003,890,585,057,969,265,828,085,648,
888,363,178,621,928,786,389,113,146,307,160,932,442,186,487,261,767,692,336,
677,699,345,432,793,866,846,551,525,480,413,331,986,017,543,076,078,310,266,
949,091,493,978,687,317,075,268,828,838,480,701,791,288,493,612,378,063,660,
297,551,640,395,113,229,456,192,058,406,970,327,388,918,706,648,611,467,963,
527,378,543,469,838,308,771,199,231,220,035,399,123,959,947,270,543,485,339,
164,404,399,968,241,588,678,863,899,343,081,460,061,555,205,095,851,696,042,
163,878,592,288,063,061,889,645,747,445,470,325,196,831,450,298,399,010,641,
932,223,317,787,921,288,936,309,475,287,516,268,848,276,683,310,326,472,496,
006,532,625,472,221,993,495,770,401,318,073,105,195,866,215,361,671,924,757,
459,604,103,280,091,006,251,523,043,726,764,218,657,394,413,647,323,095,033,
284,824,600,392,266,246,490,500,577,931,798,932,554,108,743,604,615,373,548,
785,253,544,863,276,385,467,589,706,246,461,915,926,585,977,839,720,375,040,
110,069,786,051,489,074,441,030,104,758,489,150,271,685,089,280,613,696,418,
760,808,396,456,013,576,242,043,316,072,532,751,719,269,211,371,138,983,146,
523,411,248,863,601,992,179,729,027,747,625,065,859,054,513,146,522,924,712,
293,034,555,335,968,868,498,616,991,768,239,756,065,035,856,011,716,372,926,
121,286,612,516,129,654,225,468,004,999,061,697,224,110,537,748,050,423,411,
184,273,291,755,987,131,708,644,111,801,481,461,856,667,386,990,486,283,473,
258,127,870,344,418,893,457,571,963,682,712,004,194,639,739,646,719,405,866,
243,793,081,447,759,607,150,211,095,102,326,750,103,448,585,407,330,755,292,
817,220,637,595,438,931,135,252,433,539,980,683,682,105,550,494,322,231,178,
456,839,712,951,078,974,043,264,039,300,985,862,547,935,763,254,961,411,552,
837,250,322,559,790,680,681,849,730,583,807,310,438,910,728,494,114,851,837,
272,733,276,991,524,678,376,047,440,164,967,099,427,507,285,084,007,841,281,
819,982,791,446,902,175,843,437,381,904,069,758,829,878,768,772,337,134,731,
821,576,787,783,207,953,051,482,761,664,990,067,859,372,510,095,319,007,347,
164,558,573,015,373,890,115,466,230,934,379,055,257,587,509,237,888,648,158,
538,457,168,173,647,202,912,612,952,101,319,265,182,306,330,358,441,201,856,
595,100,278,424,696,559,424,876,877,782,153,223,855,152,274,486,761,607,315,
078,614,304,942,940,473,811,997,611,537,165,488,890,290,503,367,758,308,074,
928,654,286,466,357,433,953,477,463,225,137,259,906,276,885,625,820,103,336,
096,264,463,310,355,988,709,575,470,987,987,161,293,152,092,137,231,090,954,
544,449,819,778,125,177,700,029,960,527,236,246,824,883,975,004,903,137,865,
035,651,820,754,407,422,539,634,886,011,868,456,034,898,540,834,241,223,534,
336,624,980,665,695,951,037,673,464,677,416,233,708,608,106,040,277,114,871,
787,751,991,778,126,542,815,061,383,477,690,120,660,517,242,783,880,254,462,
426,523,146,331,603,697,826,529,506,150,281,566,530,391,151,430,869,783,496,
180,527,395,586,585,016,153,310,672,990,997,205,193,502,547,979,727,228,915,
418,158,675,397,180,425,509,025,747,455,396,567,331,278,755,021,649,143,866,
036,793,438,762,309,822,838,118,171,015,831,477,080,658,990,236,680,326,891,
863,788,684,464,082,166,202,970,985,894,002,582,518,522,781,087,438,835,469,
342,867,651,753,854,285,148,107,528,865,954,203,214,338,298,855,134,073,176,
189,864,848,279,394,571,528,279,897,422,348,733,423,713,133,376,316,250,788,
852,988,069,931,570,938,482,705,015,901,729,538,437,827,141,623,600,425,622,
268,632,780,079,458,761,459,689,499,141,036,800,417,629,493,241,371,025,032,
871,010,115,305,480,784,533,730,943,265,488,454,761,502,185,636,836,099,893,
607,484,317,500,060,383,540,318,720,649,673,897,456,726,940,979,337,574,111,
815,773,593,673,627,871,722,992,856,046,904,049,203,731,358,850,047,242,203,
607,970,773,550,873,992,977,316,060,568,384,927,773,691,547,817,925,884,591,
873,244,398,268,193,562,255,418,669,313,994,590,371,670,092,547,726,058,948,
911,578,502,969,559,072,244,368,420,011,918,133,911,086,875,314,407,475,060,
574,785,385,682,760,052,887,491,801,150,041,311,223,630,205,089,375,171,040,
772,258,736,053,131,717,984,774,074,457,041,755,246,464,780,681,727,267,420,
364,782,838,854,577,820,352,026,176,929,175,105,589,122,955,322,810,674,258,
602,452,626,151,713,973,224,748,859,034,209,974,207,047,427,602,542,953,430,
675,269,913,939,247,457,297,076,788,517,129,167,657,987,824,240,236,299,878,
206,820,195,604,274,688,991,506,663,873,473,274,760,010,340,443,352,552,916,
166,430,755,823,359,761,044,418,953,935,755,770,337,100,261,199,859,902,308,
787,560,598,754,249,669,486,165,034,196,727,370,003,995,214,156,680,818,758,
824,131,125,888,326,267,896,035,546,659,149,797,359,580,996,958,939,569,516,
684,144,156,484,345,958,765,789,687,213,229,398,619,901,887,911,041,884,667,
549,723,920,926,915,289,813,694,772,772,444,272,021,878,363,863,432,207,349,
912,799,533,849,221,307,566,720,110,664,840,608,010,085,428,683,450,878,907,
633,719,013,807,375,794,470,208,377,710,817,178,844,097,316,833,320,490,405,
632,339,314,414,919,829,896,706,151,712,811,304,095,673,317,460,237,424,250,
728,408,743,824,857,420,416,489,528,786,330,001,796,709,642,331,783,489,850,
249,058,005,766,222,775,085,131,896,612,166,356,666,564,344,283,541,498,024,
825,571,738,954,976,022,801,153,618,690,539,999,185,449,304,242,149,987,184,
235,674,651,551,029,429,012,429,555,739,415,852,357,398,229,017,466,691,498,
116,973,316,348,075,548,388,407,147,511,741,892,044,371,889,544,375,184,237,
721,815,235,899,594,526,539,007,280,647,281,105,684,762,704,572,923,659,190,
502,423,969,100,580,328,182,516,726,092,332,062,194,591,347,407,475,352,328,
775,709,559,110,456,564,072,930,365,686,565,581,445,591,917,871,314,616,448,
380,223,113,283,122,883,889,308,100,391,586,411,605,974,728,744,220,653,065,
625,517,523,437,224,179,033,073,378,300,887,088,100,494,115,833,625,004,414,
987,053,517,106,317,216,384,184,708,916,270,805,026,593,024,290,350,780,704,
312,574,643,731,565,045,176,529,413,296,164,102,768,152,736,850,231,037,490,
313,110,869,920,768,043,974,952,379,059,502,768,347,329,322,945,554,557,121,
801,891,706,601,073,909,713,793,611,014,022,506,522,815,558,994,665,031,918,
700,921,166,146,055,019,056,075,674,326,655,748,711,484,780,733,295,189,430,
041,409,813,121,555,776,580,667,001,733,088,294,771,507,979,788,640,388,013,
024,722,771,691,580,395,875,329,968,663,029,249,201,079,614,784,428,917,170,
326,640,931,437,586,760,165,970,838,949,239,271,740,691,942,058,557,877,358,
301,466,825,925,301,573,612,090,145,548,539,276,825,783,661,939,283,370,119,
742,161,573,835,077,213,723,855,787,369,696,619,664,356,740,254,248,569,266,
101,120,006,507,106,936,903,942,198,373,798,152,609,040,196,563,498,180,783,
964,183,895,359,082,954,748,916,503,841,789,109,591,845,545,538,271,260,444,
800,245,851,637,984,532,490,740,690,349,613,872,128,683,346,094,873,425,062,
129,256,477,838,650,759,996,583,391,449,648,991,981,729,547,782,385,952,430,
355,100,786,459,409,833,406,610,926,262,422,577,645,697,833,190,494,202,995,
753,432,935,301,326,588,985,485,456,940,567,082,118,001,201,642,362,272,962,
271,383,557,702,162,700,313,631,782,530,746,931,784,264,491,485,812,526,604,
161,525,756,876,521,134,906,431,760,676,890,888,265,378,889,410,353,269,348,
048,505,515,873,862,690,772,348,523,568,317,774,475,438,875,025,473,051,941,
797,727,322,587,326,952,738,748,139,242,932,011,681,793,916,202,024,755,394,
804,805,552,382,993,635,133,520,730,372,840,796,810,514,694,184,698,913,985,
960,924,329,525,837,701,334,932,141,132,633,036,989,943,610,901,519,021,239,
515,100,527,790,670,881,287,254,468,290,776,575,761,147,365,357,624,069,557,
526,104,012,122,026,962,627,306,537,676,449,005,358,520,029,432,358,283,253,
613,344,935,965,372,267,486,547,383,798,651,758,972,044,670,601,743,100,373,
245,556,149,411,763,463,711,853,092,942,873,795,389,387,718,311,958,267,239,
354,199,801,732,091,404,302,373,466,243,142,331,948,994,324,594,718,722,877,
366,536,024,622,944,743,392,359,494,617,586,329,943,831,210,634,008,526,843,
493,374,451,274,900,299,891,260,635,195,366,971,880,793,933,384,369,755,742,
435,450,282,326,020,162,320,236,358,120,704,067,686,620,123,543,793,194,598,
419,835,031,117,286,189,416,465,912,277,381,282,086,658,824,477,072,570,030,
660,004,647,784,663,268,154,144,640,277,899,454,211,190,055,786,167,196,398,
608,284,172,361,632,015,007,258,785,042,600,874,067,416,998,260,623,804,804,
017,565,827,947,883,525,322,720,104,695,617,549,057,510,473,843,788,794,885,
621,118,038,751,830,589,331,082,607,007,555,933,559,172,267,208,313,137,857,
659,994,156,453,255,652,119,057,112,685,383,892,282,256,166,839,160,661,724,
336,213,112,289,288,185,760,885,791,387,567,706,747,287,251,918,760,982,460,
995,963,979,272,360,632,094,667,922,984,716,966,484,863,191,018,236,101,269,
426,504,321,150,860,363,315,642,718,733,238,735,928,730,327,020,182,133,233,
330,538,762,352,458,541,062,577,495,249,635,922,867,150,760,034,296,789,645,
463,101,192,843,146,591,834,820,747,479,021,946,969,529,396,780,660,447,174,
799,019,174,905,558,994,922,016,506,220,913,178,632,572,107,682,482,126,054,
463,415,192,466,748,522,286,880,866,342,732,142,626,168,803,185,769,939,428,
244,600,324,480,704,276,843,368,398,681,175,976,079,094,044,908,152,978,093,
132,597,108,379,974,847,719,921,182,804,477,200,684,335,581,850,120,563,498,
169,617,629,644,031,164,616,006,046,968,237,652,210,508,861,899,980,029,087,
037,801,175,202,368,666,921,667,604,800,158,665,257,621,522,966,598,572,640,
408,359,073,325,356,947,820,166,138,107,123,200,466,697,623,243,203,655,398,
276,247,641,251,363,878,841,551,753,466,605,440,144,968,996,093,821,372,999,
383,709,935,732,757,073,767,820,339,218,406,542,460,065,257,824,535,598,151,
027,650,147,062,721,435,756,476,254,369,913,628,371,992,980,631,797,799,758,
312,316,884,105,568,626,892,360,770,272,580,433,085,506,204,329,851,668,454,
715,200,695,616,487,157,388,197,494,818,431,762,181,411,305,622,844,565,260,
347,833,953,530,229,153,111,669,784,832,997,401,658,179,119,439,230,932,061,
602,854,072,467,268,858,044,351,215,665,980,110,792,277,210,228,676,147,027,
776,930,461,430,689,496,325,171,895,679,664,990,507,410,183,813,393,778,334,
011,792,441,184,094,846,474,605,248,113,439,354,743,745,096,543,890,192,392,
307,513,792,901,196,336,828,921,239,830,539,529,203,399,230,364,623,549,809,
273,707,924,523,870,792,460,279,130,963,654,924,244,850,281,331,462,022,899,
419,453,233,719,872,165,701,404,450,692,168,375,687,987,752,905,359,388,079,
067,347,019,364,853,919,527,767,483,083,502,610,486,225,201,552,703,147,821,
160,289,148,446,228,615,055,388,980,979,309,860,398,757,077,483,594,693,098,
103,017,315,972,959,070,047,740,356,574,965,847,604,941,963,543,079,142,229,
042,164,511,678,203,621,171,550,658,745,455,875,843,587,055,295,552,260,394,
603,090,866,195,391,015,745,883,360,425,162,677,217,925,110,156,621,977,232,
276,123,295,327,889,160,694,130,600,006,523,740,632,399,057,020,361,129,673,
737,063,934,339,666,618,377,021,583,557,689,600,169,018,668,850,160,204,982,
348,495,554,238,838,550,928,342,179,391,891,700,576,943,754,728,563,111,294,
411,942,444,061,693,764,198,251,818,521,980,958,810,810,236,809,868,585,682,
295,049,331,949,886,836,214,589,307,258,666,695,377,286,801,365,955,412,946,
154,975,771,488,564,221,413,548,026,562,341,497,530,591,275,595,271,218,551,
247,835,111,771,210,329,047,093,448,807,541,960,755,247,768,710,389,080,929,
271,919,208,546,710,741,548,179,103,051,117,619,021,478,888,355,315,664,769,
868,133,306,111,130,757,528,210,829,583,335,479,651,906,025,389,232,545,594,
907,576,611,561,685,523,164,271,216,243,545,020,384,807,756,456,751,969,364,
842,616,694,930,245,012,888,008,118,243,635,039,284,030,539,263,655,199,144,
871,962,391,799,988,061,503,709,307,917,974,133,862,454,707,822,549,081,476,
422,030,462,539,453,347,383,667,200,153,583,855,910,547,043,223,918,523,069,
741,730,707,350,767,329,881,274,396,343,507,478,076,040,422,035,417,373,593,
338,146,602,686,378,887,810,014,187,286,515,534,942,462,668,783,603,490,918,
316,503,349,073,457,683,766,125,082,709,875,017,120,343,087,496,746,516,971,
923,669,211,043,469,710,610,253,357,595,810,273,892,144,395,146,726,045,155,
366,417,894,684,054,598,167,746,951,740,477,630,231,209,871,318,337,065,532,
692,100,741,866,631,434,635,731,160,888,266,183,612,214,574,605,479,484,018,
613,446,909,713,796,684,082,059,549,742,096,749,827,849,520,967,163,277,631,
646,823,309,829,206,586,715,093,561,596,723,321,159,267,170,316,394,271,878,
185,831,696,601,258,842,987,887,436,008,043,395,641,104,464,579,886,300,822,
185,602,991,514,705,218,725,633,145,966,630,826,482,223,643,255,672,884,630,
578,195,082,841,061,373,324,810,503,985,672,162,598,890,733,979,017,370,450,
409,714,015,415,049,881,965,388,776,345,404,677,418,664,936,608,609,922,862,
146,644,607,930,526,681,885,961,633,837,891,656,821,783,163,263,394,501,425,
077,334,254,834,847,962,748,969,960,705,329,317,324,175,000,354,974,816,001,
497,396,265,839,186,112,142,913,674,772,426,077,433,463,113,069,056,511,318,
439,952,034,147,308,936,139,721,834,172,946,327,670,146,187,854,173,136,038,
642,605,250,116,534,150,381,965,706,624,534,479,709,228,296,757,853,020,977,
889,460,296,870,351,742,176,995,588,953,240,851,977,197,549,917,598,691,391,
159,333,204,151,290,281,252,579,458,910,184,477,163,437,319,378,139,292,035,
227,556,037,586,095,152,267,175,922,953,730,613,861,196,199,350,855,423,588,
038,491,264,432,988,148,344,539,591,623,686,707,176,227,941,243,715,161,147,
260,285,371,749,203,022,417,998,242,098,674,462,242,446,147,038,486,323,990,
477,235,006,672,200,529,557,554,186,642,781,803,601,875,243,863,853,627,378,
109,715,706,306,411,406,144,815,705,076,668,864,063,368,656,145,640,697,216,
635,725,563,408,553,580,494,529,379,542,784,230,725,211,825,046,413,125,069,
402,887,246,453,505,021,139,645,073,451,673,466,904,726,956,876,672,733,637,
650,092,381,378,334,449,201,494,830,859,338,489,062,138,335,645,773,966,386,
320,324,383,182,337,614,783,386,954,337,172,277,983,515,296,681,857,749,044,
903,747,024,631,346,530,375,871,850,655,696,516,404,275,690,717,527,281,573,
628,362,330,155,881,519,423,046,963,240,791,956,741,987,213,382,320,175,759,
685,889,588,626,404,106,556,122,973,798,068,436,842,441,920,402,252,905,616,
093,692,189,694,505,767,835,104,705,188,483,481,384,059,286,647,039,127,800,
372,039,103,833,169,722,205,885,683,326,765,613,439,586,302,877,803,270,283,
055,245,096,943,713,611,669,245,163,861,076,227,558,233,108,388,880,731,666,
074,577,020,335,870,145,825,970,123,049,427,250,128,143,536,249,947,594,224,
579,100,993,887,645,378,492,257,037,709,316,614,431,350,719,894,892,031,315,
235,849,503,452,573,937,919,261,474,948,879,393,265,035,230,639,831,519,457,
319,914,931,030,674,994,089,189,067,706,461,864,852,991,529,032,186,072,875,
011,438,215,841,631,098,101,891,912,369,810,522,889,916,519,589,352,251,823,
194,486,104,665,656,700,286,092,641,490,817,262,153,030,777,122,142,747,133,
974,286,843,644,280,303,035,139,010,572,207,516,061,467,269,953,042,891,619,
098,787,717,002,067,815,364,579,149,010,877,301,174,525,874,748,838,640,706,
842,815,768,558,477,708,463,033,808,011,268,382,232,693,501,647,357,526,554,
160,083,831,533,488,398,114,951,563,890,718,063,474,721,289,846,785,614,886,
065,500,566,495,142,435,066,012,799,384,845,142,760,443,986,602,285,816,607,
713,305,555,710,937,007,608,167,081,606,013,560,764,323,862,912,012,695,161,
251,944,351,675,094,525,764,619,950,724,259,560,151,526,705,472,239,297,406,
578,336,226,599,024,110,068,580,339,763,806,415,589,135,934,701,435,278,082,
934,386,637,741,601,920,867,480,320,950,445,727,562,628,579,496,714,472,166,
170,713,857,509,782,883,311,773,586,851,441,197,197,457,229,397,229,338,245,
581,894,957,088,371,317,703,629,680,411,528,968,674,475,544,699,301,768,240,
845,449,674,466,034,386,002,556,420,194,912,010,603,684,940,120,972,257,409,
647,785,876,645,745,181,276,039,610,378,571,879,301,560,625,204,497,610,701,
649,968,980,200,304,850,194,924,639,822,968,794,403,877,797,409,122,222,437,
995,835,226,019,811,245,137,549,348,183,833,897,019,704,284,799,651,122,926,
876,716,539,641,805,183,172,844,780,636,125,173,009,481,812,124,786,721,262,
335,860,024,741,892,721,149,927,912,508,690,728,377,711,293,910,799,524,838,
705,408,347,622,552,982,094,126,030,517,557,041,954,069,367,435,963,823,318,
540,927,583,333,079,818,701,967,643,920,635,755,634,972,790,604,523,836,373,
884,009,582,232,434,143,406,727,651,192,950,417,963,442,943,692,967,268,452,
695,051,888,692,766,007,126,584,492,359,448,090,239,570,383,994,395,716,271,
862,523,686,995,972,261,281,022,479,091,497,974,490,677,880,968,428,325,314,
035,190,270,507,005,188,352,762,015,380,585,226,943,759,604,007,317,111,302,
332,716,972,808,487,711,768,300,955,811,108,038,753,866,566,976,043,697,249,
544,262,856,922,352,155,448,524,817,566,378,570,710,768,664,134,264,983,861,
627,263,641,935,614,619,558,858,074,262,960,646,552,273,977,488,397,204,757,
790,993,605,505,653,398,558,023,182,914,685,259,514,929,014,559,885,575,296,
614,710,757,395,367,598,341,391,826,161,697,571,206,700,204,711,369,169,167,
469,529,929,711,700,493,872,996,672,063,793,752,486,338,789,974,928,740,461,
011,054,119,864,629,044,390,797,084,697,201,369,718,363,117,003,315,663,477,
149,393,056,934,397,928,880,699,893,266,861,978,639,096,255,365,267,527,086,
264,486,325,362,534,692,420,106,947,147,059,173,417,146,910,023,244,421,932,
643,254,628,258,667,634,442,611,534,404,029,031,682,083,005,579,627,229,420,
439,574,679,539,997,660,789,049,378,189,743,678,283,743,286,270,181,096,449,
454,312,837,295,659,004,410,554,156,908,669,253,385,563,260,793,006,729,452,
755,403,593,836,659,883,113,537,027,619,911,037,201,940,058,799,063,101,096,
179,338,563,240,525,564,998,138,891,990,756,902,055,207,930,124,517,067,784,
814,157,786,532,058,773,502,623,208,779,492,434,263,243,954,547,529,107,423,
392,319,555,497,213,246,671,996,493,428,083,199,522,208,899,848,666,545,542,
079,395,816,741,657,788,630,746,739,911,245,116,272,650,774,843,653,475,638,
478,985,082,859,071,074,626,264,472,115,526,219,105,261,127,853,806,161,940,
583,389,245,261,777,542,652,297,747,352,540,171,652,709,404,381,369,654,749,
366,530,426,513,661,865,411,166,704,759,729,138,108,088,769,180,037,027,763,
213,543,582,577,346,872,889,145,564,917,979,287,279,970,547,204,125,432,272,
763,598,575,751,709,093,054,060,630,129,086,469,770,144,135,549,331,662,973,
397,186,014,558,350,742,312,633,661,095,109,568,842,859,549,808,737,388,889,
935,941,705,632,312,490,061,324,269,877,006,604,996,100,612,910,889,416,265,
718,754,754,601,769,576,276,952,766,745,825,493,877,930,700,000,097,954,650,
095,569,251,221,815,542,941,500,663,824,456,363,447,292,482,028,513,833,761,
470,064,664,923,755,717,958,244,154,489,772,768,406,205,717,995,218,734,997,
087,366,212,465,243,944,326,398,373,568,091,456,870,749,741,152,483,829,434,
538,460,208,569,256,594,040,737,775,553,291,616,355,823,554,279,510,114,218,
437,373,575,725,459,849,914,281,668,291,671,384,239,563,050,814,324,441,394,
410,141,933,925,829,364,110,318,381,901,702,274,466,903,817,537,859,052,426,
338,992,877,279,564,023,134,347,292,674,666,750,716,519,980,404,738,157,869,
828,985,467,190,260,338,277,219,045,648,701,714,936,815,870,054,242,088,461,
419,068,879,464,255,679,110,899,830,906,978,854,831,815,417,704,363,384,357,
266,640,810,698,657,392,242,071,400,565,700,966,295,242,764,670,889,506,130,
493,344,218,981,798,780,959,779,704,652,746,668,763,233,402,244,241,512,273,
084,635,277,712,964,213,686,636,253,192,807,226,735,335,580,159,094,174,919,
071,868,402,669,120,237,269,915,595,950,831,012,592,893,810,124,126,525,612,
642,681,257,557,429,082,729,752,718,329,551,118,436,295,590,229,718,166,616,
404,349,907,138,819,835,743,229,170,077,713,474,375,873,461,999,886,749,495,
866,932,519,418,295,296,816,909,273,304,166,033,806,454,926,785,997,735,871,
414,204,702,254,265,430,782,694,904,549,057,058,696,852,274,573,220,071,299,
219,539,179,701,894,100,234,030,176,632,496,778,019,450,242,404,876,176,982,
591,700,212,853,043,915,117,510,718,638,216,639,223,062,933,378,979,482,567,
648,038,858,465,412,358,860,097,931,926,590,891,576,840,195,788,202,116,334,
333,835,488,936,939,460,204,879,927,743,793,004,343,842,920,677,164,346,607,
765,177,881,927,748,778,473,200,162,434,574,137,513,915,705,867,504,350,639,
061,554,206,707,570,346,705,647,985,940,062,944,339,042,458,155,399,383,793,
137,516,710,397,208,112,988,613,675,683,246,999,912,322,749,098,780,804,525,
967,136,990,487,214,209,285,045,762,156,043,007,363,552,328,961,771,416,495,
407,393,594,801,536,093,856,990,673,985,082,639,502,512,475,750,693,695,311,
739,362,560,022,579,111,181,663,108,556,851,267,563,290,194,430,082,440,779,
939,555,686,918,737,763,464,869,590,800,729,329,993,876,217,038,160,989,567,
180,052,029,801,444,674,425,394,769,309,910,525,949,060,294,505,793,593,469,
696,664,166,035,404,744,829,810,856,583,573,920,551,689,230,298,872,216,721,
582,950,731,276,670,995,029,882,979,048,837,620,817,992,055,283,526,461,298,
063,425,016,277,497,348,061,036,111,265,427,321,445,309,958,894,225,285,221,
465,467,842,138,415,316,294,597,934,775,708,539,177,466,886,066,470,304,071,
881,566,846,302,037,936,632,832,301,359,616,413,734,412,376,601,249,892,784,
488,445,713,483,256,913,043,770,564,119,715,834,368,915,791,515,239,954,116,
145,005,953,873,997,050,262,932,832,597,444,314,561,144,819,857,891,594,116,
258,767,381,331,286,240,651,131,996,269,594,751,868,656,297,672,894,686,176,
758,982,084,587,864,782,695,967,529,864,446,327,394,139,868,796,923,362,281,
184,856,641,331,745,986,528,926,763,135,890,103,659,770,177,231,910,371,919,
924,820,371,753,639,488,219,695,961,872,469,051,776,960,476,168,616,822,994,
303,345,030,705,978,652,376,080,026,129,651,106,810,429,818,960,589,223,119,
330,350,205,299,778,611,355,324,758,380,065,460,650,991,809,695,413,210,081,
901,957,559,312,507,672,949,281,085,121,834,692,911,794,231,712,052,499,905,
866,433,408,878,533,411,430,175,268,767,516,261,523,394,296,664,129,314,987,
715,645,820,667,951,740,870,154,029,155,474,603,634,052,483,084,272,487,794,
534,471,700,248,559,925,276,623,527,628,618,567,863,962,834,135,576,566,809,
357,037,225,424,125,610,512,228,522,300,179,663,678,161,914,072,300,969,762,
715,290,138,645,983,634,537,942,603,197,371,298,007,667,039,205,136,406,874,
723,643,386,025,726,253,043,871,013,883,877,157,976,994,731,467,983,264,249,
585,733,742,352,017,111,691,691,125,037,431,732,595,063,805,288,849,398,030,
281,706,483,132,330,374,954,499,050,751,048,506,806,308,811,809,039,957,846,
063,254,540,851,972,757,082,418,397,061,207,095,573,675,486,415,031,492,538,
880,621,266,435,134,482,090,392,202,199,902,285,205,972,963,132,240,769,751,
223,696,910,447,306,650,266,129,344,233,732,558,071,747,741,071,085,384,828,
934,540,323,670,580,138,796,498,046,180,706,150,125,736,451,752,582,424,906,
362,418,900,310,252,697,336,479,412,887,491,584,323,696,150,205,175,227,902,
978,860,050,954,900,263,670,947,326,364,077,899,927,065,077,775,219,165,868,
255,125,590,027,602,505,994,024,528,714,632,918,630,167,214,534,281,500,546,
972,873,172,800,261,611,092,675,124,494,456,226,680,649,924,098,177,580,626,
756,756,297,536,888,805,890,129,234,659,663,028,948,776,877,219,133,607,003,
112,252,257,895,469,393,118,906,402,060,720,191,348,907,038,137,520,678,194,
283,646,168,120,849,189,321,610,528,283,865,039,625,324,855,864,985,465,280,
092,362,597,801,373,954,819,191,042,019,753,393,591,696,902,016,453,218,147,
218,372,716,094,034,437,837,158,218,767,373,614,428,326,227,322,962,667,283,
475,315,611,218,118,266,517,300,579,938,377,232,973,789,178,657,110,774,710,
278,652,695,845,438,911,185,798,580,434,003,086,101,794,738,394,940,632,669,
662,113,483,481,023,932,496,866,574,126,419,595,509,466,132,202,512,502,318,
124,982,636,288,860,730,029,118,024,236,160,385,585,917,775,623,136,192,808,
092,452,547,993,951,935,587,495,058,370,543,387,755,013,872,807,337,416,735,
474,226,571,088,322,859,412,015,816,502,195,487,726,051,841,833,261,792,105,
823,032,671,444,912,602,363,817,750,397,984,656,059,369,822,053,862,288,374,
772,932,113,776,020,437,786,527,805,409,986,583,905,936,716,345,363,356,887,
263,088,869,607,174,707,698,274,745,153,962,118,076,510,337,575,093,933,722,
968,420,777,873,657,443,189,717,396,138,826,807,155,220,828,857,865,193,323,
944,299,994,125,286,665,957,385,651,319,848,892,994,766,877,865,949,315,571,
520,751,467,605,436,372,071,877,755,438,083,108,187,888,451,934,282,147,525,
472,350,562,770,530,481,099,857,614,108,279,843,329,244,104,469,789,455,018,
725,518,343,160,397,149,220,061,182,200,681,439,130,266,498,158,954,063,120,
617,414,004,253,617,102,253,184,798,591,450,770,144,997,280,480,667,705,253,
057,718,335,359,880,507,828,271,785,461,362,687,605,383,854,552,513,099,197,
745,230,417,451,932,085,208,446,928,258,858,630,252,281,669,639,418,623,170,
339,371,943,646,676,046,736,452,557,033,865,256,385,846,722,278,204,677,174,
017,646,073,215,227,252,923,899,750,131,388,091,683,923,957,198,294,212,698,
632,781,299,411,236,192,750,034,767,141,463,847,306,955,980,394,487,228,270,
207,446,060,816,234,177,960,823,943,454,560,117,112,585,231,793,250,703,377,
477,318,820,177,274,968,361,959,671,983,474,374,024,333,472,742,879,056,932,
588,260,202,675,207,949,566,325,748,760,596,858,401,264,833,038,153,643,448,
116,467,907,083,718,121,226,769,543,706,822,303,387,061,055,224,566,393,501,
794,734,937,261,919,340,233,103,251,322,939,862,090,135,667,740,248,125,381,
564,058,805,553,706,751,475,368,219,155,595,586,145,145,495,479,464,394,868,
154,895,575,446,243,578,395,326,769,950,820,325,559,586,521,435,654,581,471,
906,638,010,202,944,829,158,944,226,303,683,972,960,873,788,325,852,134,754,
438,963,695,619,189,336,869,325,476,926,088,070,252,976,904,643,457,556,097,
001,301,300,773,657,221,374,223,627,623,524,045,132,244,640,547,705,985,996,
219,615,763,629,040,410,517,780,520,523,800,208,425,681,097,730,263,582,436,
521,393,175,621,759,965,237,802,316,469,384,168,895,554,929,682,479,419,235,
597,643,062,431,278,148,775,372,644,840,770,590,841,513,996,439,335,768,207,
271,863,764,898,633,015,852,481,814,462,813,491,587,412,912,984,130,095,779,
372,367,363,138,146,752,997,595,703,185,408,601,599,393,229,032,765,943,646,
059,609,560,906,219,485,354,754,314,444,219,846,384,487,094,858,499,877,897,
332,250,472,993,556,503,570,462,000,657,263,327,060,183,798,932,390,800,916,
996,656,584,967,332,374,217,216,540,587,082,942,288,297,561,086,977,045,289,
403,526,302,824,950,887,084,415,585,756,251,748,246,181,539,046,925,300,396,
739,293,617,361,771,073,137,615,938,166,177,527,367,980,718,170,807,864,833,
967,613,062,517,078,304,928,637,642,623,668,907,722,367,648,453,669,407,295,
950,466,837,176,092,411,339,433,697,937,727,667,080,270,327,154,349,875,561,
021,141,421,028,867,357,425,758,653,515,381,239,939,256,176,316,273,993,267,
453,410,896,000,132,212,958,685,882,515,764,622,617,909,234,489,484,159,947,
908,701,735,837,151,656,031,629,910,074,384,684,020,426,079,997,669,562,376,
674,955,543,028,753,750,840,518,272,442,398,199,094,109,573,703,158,193,967,
526,713,778,086,804,163,323,957,547,425,216,148,075,257,383,865,781,040,304,
703,267,603,393,742,551,023,859,047,312,750,831,722,309,466,132,620,506,870,
082,452,840,530,039,770,549,638,752,061,567,368,273,223,061,334,604,974,140,
331,863,048,292,155,108,891,799,485,344,119,430,867,595,785,764,793,197,517,
582,450,417,759,007,563,056,517,157,511,444,748,654,658,842,816,115,318,634,
613,082,056,878,540,078,826,437,953,389,312,286,860,552,835,187,932,600,894,
202,221,807,964,794,349,883,261,340,453,080,222,878,080,303,492,458,708,501,
404,885,807,703,538,562,767,228,663,826,631,773,310,313,862,080,987,216,430,
381,948,741,002,058,741,761,816,598,644,501,192,137,149,684,182,689,729,683,
217,774,523,144,134,551,285,165,592,893,587,831,725,266,335,195,311,780,970,
619,674,373,993,430,622,991,904,614,112,252,443,555,996,765,751,207,385,567,
666,356,106,122,875,960,960,293,718,067,961,840,140,335,877,713,631,701,084,
657,417,678,270,603,659,523,021,428,259,847,916,369,001,186,906,381,407,019,
192,805,797,267,408,749,529,392,709,385,255,265,973,180,062,997,292,255,501,
406,349,265,168,644,397,955,059,962,099,977,455,300,913,018,805,540,311,007,
411,954,987,242,049,150,591,168,449,539,593,059,330,455,969,390,850,592,809,
603,399,684,688,838,064,465,155,496,121,903,902,394,884,972,784,982,855,422,
504,501,796,256,068,236,302,692,622,264,309,686,402,234,991,989,964,926,964,
680,955,683,753,713,327,855,977,091,618,262,849,746,033,889,658,526,383,129,
354,736,287,382,559,778,788,183,250,572,211,171,992,786,812,568,223,994,897,
555,492,038,405,878,759,611,566,601,808,646,520,331,484,005,202,554,869,779,
306,934,710,930,342,273,847,390,591,475,137,442,842,387,008,536,436,433,079,
194,056,054,679,293,548,059,515,167,744,161,609,488,846,564,782,907,664,020,
961,413,017,592,748,825,108,324,030,165,156,555,504,602,722,285,554,320,625,
831,382,738,704,750,424,220,975,737,337,088,120,276,143,348,880,718,573,841,
678,060,276,931,389,100,121,338,355,319,800,038,817,034,491,978,645,467,258,
180,611,222,548,934,865,842,339,592,706,952,461,530,325,426,944,901,275,355,
546,886,401,383,263,061,816,819,615,716,146,997,423,964,093,863,508,738,011,
842,804,854,685,930,696,369,310,801,958,769,431,417,824,989,542,000,187,119,
858,169,089,639,033,234,349,201,051,854,641,739,472,950,606,091,696,341,162,
242,887,728,671,743,098,697,382,789,348,569,409,047,756,630,540,702,780,745,
512,956,647,649,429,252,093,129,670,790,271,786,389,090,950,105,498,305,724,
573,775,498,016,208,054,243,883,993,460,938,155,180,905,273,167,098,033,647,
792,136,000,598,560,407,007,927,392,001,909,696,265,092,598,330,711,556,510,
378,566,543,177,424,341,031,237,843,350,718,904,249,368,962,438,570,794,319,
318,524,319,138,783,030,389,710,829,567,282,216,685,050,974,347,408,033,427,
572,021,203,563,366,972,076,962,973,098,981,977,007,357,204,179,370,792,960,
089,700,245,553,482,215,603,254,000,129,070,053,293,986,848,143,102,857,012,
455,088,830,856,336,657,153,759,877,740,302,279,281,528,105,824,952,593,390,
551,022,787,823,258,013,713,572,219,541,237,848,958,027,847,662,396,674,811,
157,915,785,618,228,262,979,261,617,251,838,740,871,348,948,349,193,008,426,
027,017,032,041,158,158,460,331,409,667,524,075,798,792,731,562,493,903,991,
358,104,889,030,003,524,944,139,376,451,375,540,516,659,175,422,940,716,532,
198,867,127,895,972,914,218,034,347,550,525,154,584,331,726,639,370,907,801,
796,329,232,428,967,841,111,066,426,123,795,297,566,328,018,914,308,508,211,
564,342,066,685,193,754,274,339,206,495,546,231,536,024,411,472,121,400,725,
872,984,497,867,513,082,145,069,749,316,436,764,495,450,451,503,693,191,132,
328,804,641,984,136,204,493,266,018,827,122,537,225,508,500,825,868,343,613,
777,179,428,896,212,384,569,772,160,033,303,644,975,332,465,437,930,482,159,
651,863,663,219,471,688,501,748,294,014,718,289,330,989,497,286,635,036,505,
603,756,942,313,320,577,548,924,043,796,093,181,272,072,922,983,457,280,282,
159,693,078,383,019,009,292,847,252,440,782,047,826,905,287,043,572,485,799,
813,826,142,625,766,931,974,733,220,035,436,947,048,521,733,668,478,292,214,
241,786,401,205,287,493,479,683,372,750,764,269,375,389,223,002,550,873,073,
944,741,969,171,963,839,760,329,216,491,919,040,409,359,027,045,599,519,163,
164,841,199,931,837,363,775,679,761,353,897,931,891,646,434,789,921,915,336,
537,023,443,993,364,281,776,709,507,400,886,705,381,075,740,848,983,972,364,
833,804,728,806,587,230,363,420,232,829,542,835,437,444,083,805,643,765,862,
112,111,425,698,942,860,186,257,270,573,492,883,594,930,365,284,341,198,594,
779,312,370,968,403,385,519,031,080,593,208,953,804,152,081,304,738,878,215,
148,222,560,254,707,479,978,731,544,831,895,643,198,197,080,593,998,096,461,
783,164,909,081,338,030,772,670,081,744,900,298,214,222,390,491,828,058,772,
725,392,646,737,220,545,491,536,543,839,679,078,834,826,820,137,650,639,205,
981,344,397,102,454,932,210,848,863,243,050,628,211,206,021,547,682,141,536,
511,771,091,853,427,084,552,192,244,158,677,634,240,152,596,447,122,620,694,
588,351,632,852,749,146,915,198,774,960,113,419,402,851,105,506,598,644,023,
792,571,676,899,467,396,505,197,885,591,520,423,114,621,359,490,257,539,964,
416,403,591,445,609,547,801,558,110,104,602,949,958,121,341,660,208,695,348,
791,912,831,469,505,735,509,986,227,980,947,673,380,149,340,165,306,830,358,
469,002,809,261,733,142,044,515,452,511,801,764,501,790,804,354,159,980,334,
259,389,020,471,773,151,135,056,346,126,075,114,788,539,795,734,140,919,560,
071,586,393,887,230,203,034,763,995,494,822,363,402,458,702,418,094,037,532,
268,740,897,520,649,944,752,090,498,002,899,105,850,659,602,817,659,321,302,
885,549,367,369,958,350,767,598,185,530,074,482,804,261,461,565,890,534,199,
823,919,151,675,438,447,187,633,616,713,642,486,044,019,952,571,711,386,528,
466,936,705,881,866,714,476,862,281,742,651,791,936,956,689,340,361,383,227,
240,264,135,694,758,788,131,595,919,386,026,801,075,957,473,050,172,968,151,
974,605,548,888,063,817,386,139,967,045,192,983,864,572,459,789,467,945,995,
293,542,005,037,598,587,925,143,195,012,627,401,971,115,170,099,355,432,002,
709,852,764,934,988,631,626,006,597,370,142,236,158,173,412,961,224,463,775,
857,179,044,204,108,335,824,929,972,419,132,776,145,814,260,840,249,048,075,
408,539,104,362,625,586,871,574,714,255,513,396,391,460,024,606,911,789,344,
827,736,827,255,248,474,086,951,055,492,870,831,521,732,930,754,817,211,900,
931,649,241,373,988,476,491,501,379,702,529,879,605,713,386,621,171,243,262,
462,235,268,092,402,256,075,751,320,827,942,309,835,381,101,257,820,339,651,
274,316,017,181,521,367,515,423,356,934,856,786,564,105,073,332,345,194,309,
763,854,140,291,526,038,462,363,420,576,993,543,482,075,313,676,185,740,699,
625,453,101,960,708,386,091,278,871,444,411,447,485,824,001,566,694,903,181,
089,882,828,164,915,910,724,857,939,784,779,750,915,916,557,721,860,353,491,
898,704,697,654,407,986,338,480,812,566,177,334,642,063,673,243,355,527,747,
001,864,322,525,049,823,605,075,202,209,095,126,773,834,040,851,157,350,141,
487,161,704,830,100,953,957,652,830,690,892,114,613,924,370,708,533,649,100,
892,360,191,750,092,076,577,564,403,183,546,778,711,488,305,551,992,322,714,
412,994,364,190,137,214,936,285,923,920,422,098,212,826,148,903,172,104,860,
870,353,841,704,461,385,241,314,182,654,453,100,962,135,863,087,005,420,885,
221,622,158,516,646,009,022,448,873,456,206,026,803,824,697,231,885,389,773,
899,128,581,508,279,239,956,398,878,810,640,558,722,287,784,999,654,450,964,
155,614,731,640,376,435,690,190,423,533,615,078,163,022,863,794,739,915,518,
691,052,523,237,067,578,834,689,994,498,760,964,728,594,050,073,490,704,954,
229,567,553,681,625,808,056,897,637,080,981,813,491,159,335,655,455,925,009,
280,737,826,922,265,669,190,598,184,052,835,481,523,500,474,208,904,581,795,
817,797,093,763,659,345,578,766,256,312,415,872,612,143,791,020,475,193,562,
020,625,757,261,266,132,962,327,892,447,035,531,984,303,932,254,100,653,187,
861,091,279,441,888,888,366,402,579,077,076,726,353,397,831,831,836,724,933,
028,301,447,799,778,189,094,859,413,006,525,526,125,009,014,747,608,006,431,
433,698,709,317,553,284,646,030,695,541,323,583,293,326,190,395,662,067,047,
808,158,770,903,085,129,431,509,929,420,831,477,429,124,521,820,144,005,486,
486,447,459,959,526,967,646,664,951,060,555,591,091,828,731,412,803,389,240,
874,831,583,238,533,231,323,740,714,966,320,601,380,460,405,873,970,601,801,
896,762,599,313,179,571,007,538,611,872,483,623,347,727,512,676,536,876,942,
815,667,222,446,316,500,703,676,842,772,007,523,694,393,349,676,994,045,460,
821,750,094,251,158,280,019,411,035,758,618,980,812,439,227,369,356,036,464,
246,602,222,096,134,664,691,801,231,429,930,486,988,684,243,921,677,243,873,
848,897,163,488,438,449,224,126,202,841,889,710,019,442,718,502,894,428,984,
082,786,938,805,038,603,635,210,028,621,620,965,028,830,667,629,889,346,202,
709,295,913,924,982,339,113,606,218,220,666,122,012,004,305,992,493,163,857,
804,135,805,925,177,388,720,380,834,250,260,716,058,657,388,580,551,328,749,
776,116,720,935,577,874,218,129,260,053,099,861,079,737,044,097,724,948,496,
692,534,772,424,109,455,823,780,584,697,442,844,480,848,918,969,970,741,992,
741,068,724,762,124,613,712,276,941,617,909,222,609,029,376,674,168,262,213,
520,631,668,128,878,785,414,832,340,492,381,400,611,026,747,883,608,198,370,
168,321,608,947,630,738,557,789,368,708,528,355,135,849,114,438,700,576,070,
208,108,697,608,949,862,466,280,206,852,709,296,084,689,242,710,581,831,635,
857,246,637,130,564,316,995,955,541,984,073,692,660,988,872,898,549,720,761,
795,448,759,899,813,220,288,130,353,682,083,271,702,425,288,839,959,076,221,
149,148,075,762,528,575,641,342,070,318,799,559,826,620,062,366,262,632,187,
646,573,441,990,608,106,173,687,079,976,636,713,100,255,089,469,941,414,940,
586,436,550,001,230,004,884,330,512,262,189,009,342,267,028,327,453,098,867,
057,108,143,101,998,806,492,443,355,662,978,242,946,237,161,878,993,193,278,
654,685,988,818,490,373,599,151,910,349,150,472,994,040,907,131,707,929,661,
653,482,624,459,096,166,726,775,139,428,537,517,744,747,309,787,688,722,198,
640,720,078,733,233,911,330,489,596,672,216,692,454,793,068,705,563,652,340,
783,208,107,305,884,789,133,080,021,270,753,132,547,159,479,115,529,892,899,
012,971,658,805,047,786,942,628,763,398,829,380,652,010,599,867,924,601,629,
566,634,579,650,925,241,016,456,598,048,966,859,378,170,461,412,129,930,190,
999,796,482,903,587,252,090,806,513,976,814,399,821,100,154,987,327,742,542,
753,071,725,027,520,433,362,354,657,487,472,040,412,998,766,232,228,966,509,
436,239,583,540,315,864,933,319,526,182,303,053,430,183,128,755,752,397,518,
302,420,947,451,242,002,002,118,359,177,378,568,598,846,251,275,793,841,808,
709,068,132,133,375,630,992,461,866,879,254,143,964,567,287,790,458,328,583,
674,925,902,638,503,508,492,227,971,886,826,617,839,034,597,614,248,749,948,
355,076,266,052,330,223,225,630,417,441,063,996,636,312,341,332,993,357,074,
436,071,815,466,226,514,214,862,312,259,785,104,322,843,532,761,933,411,459,
729,801,311,437,550,379,368,698,958,503,638,521,483,212,116,927,850,174,011,
218,403,920,760,131,670,589,451,694,843,071,897,229,379,597,399,243,326,459,
420,361,796,898,202,438,343,864,188,697,605,614,768,626,599,761,774,554,374,
424,926,298,088,431,863,223,766,239,151,968,122,264,560,917,514,101,746,093,
610,509,308,287,841,069,737,708,407,878,758,133,213,588,317,193,454,341,449,
396,203,043,674,104,221,407,397,209,993,998,715,556,728,803,164,589,704,632,
300,915,842,781,132,380,148,811,716,707,487,555,365,442,864,385,969,295,359,
272,452,680,510,382,636,825,698,294,694,423,663,142,398,575,856,499,104,240,
924,047,463,180,942,637,385,733,599,930,547,127,921,848,001,772,478,974,635,
311,114,274,024,791,985,878,102,996,997,025,155,352,866,690,207,485,069,393,
407,151,553,431,425,066,772,093,055,894,300,799,835,065,700,026,011,422,823,
235,811,907,180,983,850,625,870,460,325,867,712,820,277,878,321,300,383,741,
924,369,132,768,642,501,502,007,672,830,645,546,511,640,396,274,987,101,908,
727,470,532,571,608,645,083,023,787,376,417,539,794,130,054,297,053,866,384,
438,210,717,588,834,825,775,874,061,871,223,896,053,900,269,726,164,053,930,
952,485,015,948,087,986,545,449,057,506,280,451,251,891,488,493,831,461,906,
177,939,149,556,800,025,605,341,523,592,897,242,599,994,408,734,350,933,352,
093,995,614,474,360,912,724,028,022,973,439,488,893,393,756,897,128,786,428,
561,850,152,349,298,432,094,516,432,446,021,012,109,620,271,805,343,627,618,
789,344,778,809,598,478,003,996,369,442,458,006,875,483,892,443,099,902,294,
251,488,571,070,688,018,150,547,896,600,931,686,148,186,404,180,678,268,785,
295,153,379,748,870,784,211,678,265,732,176,992,208,235,829,416,298,282,066,
145,771,065,816,935,767,044,123,325,712,930,662,142,604,195,583,066,383,745,
691,405,935,058,354,030,290,589,921,745,679,172,072,978,941,256,082,949,789,
698,250,093,301,656,935,441,246,037,224,352,556,408,598,527,051,399,934,386,
332,886,306,379,258,028,237,804,256,771,133,648,754,308,982,272,556,882,985,
574,699,193,502,814,276,018,813,378,627,630,854,868,619,709,778,910,342,749,
928,172,709,379,113,965,849,403,898,191,794,042,181,196,915,853,957,762,488,
924,339,317,908,940,595,550,399,109,082,455,353,413,464,752,266,961,968,635,
137,926,699,963,836,548,638,334,135,480,649,403,702,566,415,006,941,932,420,
527,811,038,186,507,053,545,062,532,968,770,001,650,283,435,771,242,126,710,
117,576,013,242,060,678,472,013,538,472,832,962,060,313,109,117,273,387,692,
702,929,444,054,577,298,483,686,776,769,630,941,606,053,861,751,128,017,421,
757,053,722,482,871,436,703,311,398,738,538,484,047,563,448,356,767,847,394,
475,728,013,337,230,330,234,340,824,009,713,128,394,357,430,347,889,318,475,
508,871,377,980,179,007,461,969,839,467,143,531,831,199,473,277,004,081,477,
039,682,563,146,672,294,999,067,844,438,626,901,428,884,728,087,901,005,600,
338,491,110,348,448,403,045,135,939,795,020,467,181,506,880,475,020,086,585,
118,749,418,484,938,095,729,764,603,068,434,900,968,186,056,787,141,950,622,
422,198,111,949,513,785,549,713,669,429,014,391,913,899,981,962,996,914,742,
833,773,793,615,580,207,215,167,998,866,760,952,559,298,978,654,403,822,943,
963,139,533,602,317,275,767,968,696,829,828,323,794,983,951,034,039,277,176,
576,709,747,470,200,587,416,150,847,441,158,204,362,139,467,747,599,708,748,
625,960,854,481,333,184,891,701,649,737,509,373,015,604,426,765,849,611,386,
563,223,005,358,463,772,120,013,159,165,577,912,018,055,210,893,330,125,765,
118,359,400,251,126,609,399,533,260,183,883,929,921,304,332,340,235,174,524,
407,866,054,813,294,727,817,945,848,137,195,169,190,434,149,334,644,986,173,
350,130,440,378,624,320,215,049,809,874,322,495,113,902,478,973,992,172,709,
751,598,314,908,790,807,004,405,046,921,303,411,449,409,342,467,727,206,853,
398,779,619,837,107,068,240,073,049,575,879,125,682,506,834,614,427,076,246,
580,983,685,619,398,648,164,071,212,502,126,317,467,619,983,193,650,133,204,
427,111,758,073,539,508,008,622,492,717,431,966,180,309,216,703,212,533,009,
972,593,171,298,461,586,047,598,277,447,752,492,225,947,901,477,795,493,693,
560,600,919,423,273,796,372,221,710,187,039,555,504,772,208,212,449,385,936,
546,304,696,381,398,572,012,724,013,573,910,180,603,450,194,917,438,198,210,
441,296,136,424,249,548,731,588,053,026,418,248,445,151,640,337,143,409,051,
766,790,180,443,475,660,783,043,536,561,642,405,791,157,243,037,351,701,012,
336,481,060,690,180,643,921,067,477,666,844,927,154,016,545,367,151,754,901,
705,501,461,894,899,341,086,195,026,019,623,729,334,137,465,005,183,777,650,
430,894,248,797,810,251,856,836,450,897,360,499,220,580,227,925,584,594,782,
696,029,222,365,258,537,382,243,353,409,266,034,717,931,342,931,254,481,946,
594,870,503,328,865,345,392,210,555,727,540,179,027,726,546,579,101,414,785,
764,723,989,528,635,790,983,941,102,514,084,524,807,316,689,021,931,552,170,
331,145,925,343,106,666,330,092,907,082,427,294,601,485,655,681,657,585,793,
005,361,550,871,200,702,702,077,120,196,363,935,247,580,028,221,973,232,926,
394,584,650,182,981,890,960,955,356,888,124,280,261,969,225,305,114,908,305,
562,442,466,028,585,089,142,916,163,669,673,138,720,934,800,528,349,335,807,
593,721,099,969,903,776,371,561,120,500,393,440,938,668,805,256,759,268,677,
139,248,054,199,032,639,546,864,256,095,835,528,193,377,353,354,861,673,818,
577,236,812,199,196,768,327,160,661,571,886,179,772,783,445,423,737,198,373,
607,016,696,077,535,658,340,462,817,432,941,677,460,937,855,077,463,123,387,
046,611,916,867,907,280,248,180,545,523,536,301,108,326,245,199,963,431,517,
334,492,946,678,041,249,419,841,233,952,458,042,204,081,591,105,880,022,997,
046,223,944,659,716,434,372,730,390,428,746,289,282,411,975,028,936,314,735,
980,763,766,836,453,986,173,333,178,962,220,711,443,942,493,708,552,050,740,
612,491,292,197,630,198,853,096,488,768,571,904,579,874,662,056,002,536,573,
703,599,542,439,052,439,768,233,666,414,421,769,265,320,911,023,325,614,418,
809,647,522,350,912,551,510,914,472,978,047,428,139,491,969,602,461,310,975,
107,270,989,781,791,632,597,440,814,664,924,054,404,552,038,806,932,833,852,
311,054,196,738,660,269,555,778,311,375,992,758,064,517,840,239,432,400,011,
025,507,783,589,720,907,960,946,671,551,014,221,724,580,122,359,612,387,449,
211,574,963,559,253,050,495,581,570,873,030,272,524,320,924,588,575,586,915,
278,177,867,885,460,054,144,024,975,975,653,282,832,655,355,348,594,599,795,
272,489,079,090,914,707,501,588,669,523,012,200,651,520,831,454,539,307,003,
741,457,503,872,195,824,923,216,897,137,488,183,717,460,058,896,047,965,434,
687,646,734,117,412,658,512,630,343,395,680,650,384,750,678,704,670,607,316,
676,360,715,859,607,733,752,038,210,238,176,058,403,369,676,071,038,218,133,
254,205,304,789,863,060,911,167,328,244,143,569,339,586,337,716,701,027,375,
606,656,157,222,268,249,267,299,836,550,266,786,630,019,783,857,032,227,778,
970,583,373,839,273,528,440,621,960,071,783,001,679,377,830,228,088,802,939,
126,063,495,318,549,513,106,178,113,978,431,336,491,942,218,697,796,784,296,
475,811,751,088,395,301,109,282,859,427,321,543,280,697,763,410,939,202,289,
594,896,009,542,806,600,818,058,621,070,993,100,758,269,331,544,109,586,374,
451,741,029,297,666,409,784,283,441,183,544,435,772,435,147,411,235,833,402,
943,551,806,170,516,748,741,386,107,304,918,652,835,880,038,276,463,195,106,
436,456,702,351,735,983,578,651,593,026,812,348,374,501,568,367,068,458,268,
809,198,113,014,648,653,400,382,154,970,634,214,955,510,018,378,262,513,370,
489,661,630,442,279,552,709,326,173,742,116,446,206,917,061,009,281,626,701,
968,137,141,452,756,939,970,578,790,347,214,093,902,780,591,972,610,906,769,
318,633,990,490,990,659,467,113,852,076,594,572,280,947,216,253,016,554,026,
065,566,063,083,781,466,641,745,715,421,705,848,265,520,672,467,416,109,011,
722,692,912,802,663,735,429,573,299,398,324,247,360,857,261,096,383,553,534,
930,289,298,604,410,573,038,406,276,229,357,907,356,190,571,247,592,923,322,
007,193,134,659,920,763,437,537,118,070,457,863,384,577,314,075,138,633,809,
782,666,210,245,209,872,541,500,676,443,870,484,884,543,776,023,763,434,780,
716,685,098,713,627,240,261,232,015,945,407,664,801,200,286,169,394,844,412,
849,539,616,444,652,008,068,302,922,155,263,669,584,653,373,492,223,993,246,
866,076,550,435,122,980,754,943,828,445,103,571,685,239,051,013,290,015,409,
226,056,099,940,652,904,786,123,774,685,251,773,705,016,601,476,126,748,355,
525,935,415,895,611,114,303,887,760,331,109,707,473,515,589,779,642,507,891,
874,057,545,526,010,395,987,480,277,782,432,559,071,922,797,384,208,548,603,
372,762,307,920,288,606,421,832,717,817,652,412,874,402,185,555,588,563,172,
953,067,152,046,897,823,937,658,155,310,697,285,946,726,470,038,649,085,141,
615,654,518,049,401,914,149,552,217,862,704,865,285,439,150,942,187,187,917,
477,472,704,203,120,970,115,049,312,808,136,302,495,720,919,521,735,452,515,
457,593,531,219,717,730,962,768,556,093,944,995,935,983,217,465,133,444,801,
292,553,268,716,888,772,844,412,819,449,841,653,264,194,389,885,949,303,511,
797,003,245,535,395,374,202,393,003,986,106,891,486,799,094,340,278,981,252,
613,860,916,292,263,602,228,880,273,985,525,647,106,242,353,339,664,504,019,
146,614,328,362,792,104,143,964,067,689,779,114,131,246,797,275,260,556,633,
233,143,984,826,839,951,984,109,183,869,691,019,185,244,330,079,872,599,129,
990,927,884,965,998,680,953,192,592,025,743,647,700,093,708,129,908,852,605,
389,073,586,301,245,957,485,518,188,659,591,088,590,639,086,745,439,755,839,
517,421,481,538,347,765,483,853,992,835,230,659,464,240,964,977,997,288,161,
885,759,279,141,893,646,099,773,253,366,242,082,913,860,544,654,707,751,679,
283,986,495,290,077,417,831,321,573,285,752,847,400,514,302,415,328,415,578,
966,240,835,055,810,093,275,600,402,472,634,421,926,584,980,795,763,812,870,
619,600,939,983,768,726,352,493,158,290,939,720,587,461,702,497,534,761,196,
733,040,420,491,125,324,595,971,798,661,768,443,197,257,574,479,083,961,715,
075,499,465,991,906,436,713,465,096,749,896,725,909,086,388,856,328,761,139,
521,100,673,309,234,247,442,068,239,172,845,065,928,579,584,285,232,511,248,
648,717,521,167,352,264,616,243,896,955,621,587,323,420,511,988,428,008,008,
965,562,090,513,610,521,662,102,091,648,835,389,613,282,336,742,685,694,312,
559,423,194,413,259,844,997,333,876,105,537,786,332,764,412,943,160,068,456,
125,338,007,826,415,428,758,052,857,425,908,264,807,821,593,222,334,870,019,
659,547,422,663,419,563,705,861,319,537,764,588,326,691,357,909,860,736,066,
930,950,214,691,407,706,405,873,038,406,690,542,794,011,651,054,235,817,057,
647,615,223,977,882,941,063,470,878,531,802,656,680,101,904,548,601,953,138,
919,780,815,015,892,024,608,925,028,582,937,612,326,729,858,817,139,778,911,
302,237,986,055,923,423,677,992,681,280,629,840,224,526,760,843,159,718,848,
503,779,492,774,980,097,372,311,021,943,189,067,147,795,573,716,543,108,973,
843,426,523,012,735,168,408,653,232,079,177,364,358,926,969,249,675,921,411,
032,537,706,992,485,588,523,921,076,940,971,514,205,770,226,855,379,693,629,
745,667,894,909,568,347,252,630,135,842,399,570,797,773,758,664,311,104,487,
118,062,587,029,268,540,044,494,420,374,146,005,244,728,942,776,214,227,003,
389,914,408,110,534,191,837,012,327,235,188,336,690,433,461,433,216,926,895,
591,723,091,428,049,860,140,766,054,111,327,090,212,142,672,933,361,181,262,
288,156,342,819,574,733,391,452,374,458,545,845,769,851,633,978,695,945,542,
496,722,843,478,748,055,042,355,976,236,256,591,479,716,153,058,449,837,509,
338,526,824,455,234,166,139,142,996,800,000,531,657,639,473,338,839,462,334,
576,602,585,664,063,828,051,390,699,951,760,673,104,315,003,193,570,562,928,
710,923,616,070,828,733,823,953,153,464,118,049,377,981,081,127,123,696,917,
551,294,055,393,018,683,256,428,527,709,523,306,577,501,318,748,438,230,735,
115,715,272,638,406,079,430,467,325,204,600,723,959,932,526,800,754,534,192,
448,448,115,146,127,480,456,554,758,747,794,253,044,145,393,466,454,095,153,
887,065,030,995,706,106,674,260,562,194,174,909,377,938,091,043,898,088,242,
271,413,042,389,980,533,160,123,324,631,968,018,148,667,541,875,356,827,659,
895,018,278,673,317,277,573,449,740,967,099,387,686,583,454,537,873,212,008,
940,921,697,832,078,627,283,465,356,312,537,054,255,018,934,641,052,355,209,
748,236,050,063,881,215,340,410,611,812,858,242,026,808,288,535,117,438,721,
208,114,968,891,045,919,590,685,687,188,546,511,652,933,400,260,118,126,283,
073,285,202,802,505,437,544,010,841,371,991,045,462,556,197,297,572,327,911,
407,351,320,684,132,810,829,008,948,155,394,921,720,066,133,138,576,725,921,
533,346,052,370,202,791,025,011,079,128,706,080,499,958,340,534,827,042,283,
202,285,043,716,373,134,694,716,175,688,016,397,554,690,794,881,315,168,938,
632,813,791,958,121,683,144,680,801,600,359,911,817,942,562,884,744,317,726,
425,633,580,804,847,990,399,050,705,500,677,684,909,258,535,242,068,895,186,
620,021,613,873,225,239,879,135,336,844,870,769,002,991,202,072,534,281,031,
400,910,803,537,621,303,338,300,209,985,513,381,182,740,163,876,640,695,502,
568,738,569,942,873,968,733,364,648,042,707,254,531,053,230,597,698,864,637,
155,857,840,838,026,519,563,733,948,799,986,086,738,667,660,769,194,482,614,
263,148,516,478,482,216,552,795,223,590,900,879,769,194,638,858,983,707,886,
151,776,583,535,647,215,235,296,707,001,275,650,354,063,907,015,092,857,828,
424,221,482,927,721,231,310,016,427,383,608,590,887,313,779,019,323,681,168,
838,295,411,386,831,852,619,050,078,767,171,513,275,934,865,874,065,876,992,
133,992,903,067,145,162,506,195,343,065,631,934,400,601,892,082,969,738,768,
826,741,142,216,307,311,638,046,388,457,684,133,342,903,440,618,532,516,140,
048,608,850,473,437,916,202,489,180,577,395,426,178,589,178,089,261,114,173,
506,299,153,584,940,640,958,213,520,482,307,922,497,209,679,386,544,183,952,
802,943,316,350,641,012,911,285,484,708,976,705,429,129,674,357,152,955,473,
215,545,291,755,787,535,313,714,588,510,083,263,032,789,326,958,975,904,926,
933,745,994,632,916,387,337,364,812,150,589,730,869,314,784,030,600,470,326,
271,443,942,446,840,103,582,699,711,095,333,907,496,669,031,316,478,256,441,
772,191,461,733,741,514,872,957,876,429,394,331,154,947,407,790,260,664,979,
093,808,650,665,671,679,630,152,439,745,529,454,248,713,632,008,204,936,396,
339,117,555,454,041,525,150,959,545,330,995,219,402,021,269,503,090,298,697,
655,948,312,712,588,034,332,321,158,730,899,857,361,978,235,745,960,475,649,
944,914,884,723,894,544,040,013,460,684,058,923,617,305,680,312,240,249,680,
702,121,865,991,559,228,064,457,283,544,031,115,691,062,703,630,411,303,123,
606,636,960,059,066,241,692,943,761,157,169,247,961,729,225,105,084,540,754,
926,710,277,082,276,985,555,376,760,356,362,901,802,049,372,355,262,914,983,
469,840,778,231,133,472,738,528,508,101,533,171,098,021,949,860,255,475,100,
999,345,413,668,695,557,419,594,233,993,850,351,399,087,095,123,630,839,392,
822,516,678,651,856,317,516,427,674,723,017,337,480,352,879,297,577,948,520,
783,641,696,312,191,578,670,337,822,876,099,318,644,802,932,123,589,080,511,
196,728,292,815,979,890,838,449,435,226,962,661,346,827,044,614,694,598,540,
003,084,513,026,827,675,766,513,335,592,550,149,811,967,858,579,640,060,074,
411,647,206,952,553,025,545,681,034,845,540,012,586,886,705,002,345,922,898,
732,554,533,449,954,197,320,541,780,431,492,276,422,205,105,813,179,195,696,
995,045,740,597,743,750,717,451,843,038,393,903,961,073,700,852,462,045,569,
758,395,146,560,658,965,559,667,079,571,751,225,954,833,796,755,339,954,688,
835,576,348,116,383,571,178,419,526,566,699,330,875,329,974,134,242,748,652,
673,170,529,288,190,021,443,719,593,002,864,988,272,245,230,145,470,918,519,
860,933,063,491,024,624,109,068,032,712,919,326,121,470,923,683,315,210,985,
175,559,333,811,721,525,164,386,387,784,453,351,760,140,782,048,240,924,522,
105,077,720,001,050,742,889,296,159,579,004,332,683,802,650,466,512,219,259,
183,731,663,972,967,680,036,958,338,879,008,615,470,499,588,356,408,169,382,
528,804,691,293,814,390,812,786,173,026,450,965,009,556,452,051,915,751,572,
731,852,785,690,668,154,347,170,643,818,868,376,675,254,203,272,888,657,880,
405,219,013,826,458,951,068,861,109,259,491,672,181,930,432,507,239,075,875,
756,504,571,685,902,348,197,232,778,909,491,680,696,738,165,691,384,897,948,
865,864,668,337,957,092,975,073,950,721,231,155,212,919,070,645,199,836,481,
756,674,736,633,792,108,482,304,622,096,424,715,617,467,756,271,198,994,341,
068,923,532,912,319,206,959,764,793,404,594,776,019,794,942,319,185,023,410,
807,711,482,167,599,342,828,378,566,595,534,476,467,955,120,567,023,526,914,
695,404,255,527,541,485,245,634,728,816,840,903,983,296,141,597,605,169,119,
275,250,102,212,045,157,300,391,976,114,326,178,659,778,826,799,926,221,669,
242,288,236,797,630,274,054,114,352,564,118,672,229,229,588,544,054,000,246,
278,627,564,088,084,805,408,257,127,829,671,455,063,021,724,626,637,700,873,
440,626,491,850,264,322,144,002,087,529,684,679,600,321,387,670,569,363,675,
235,440,015,419,725,246,687,433,455,810,598,004,232,958,072,467,051,102,361,
020,349,428,701,289,192,242,257,982,525,869,409,694,337,982,541,924,700,845,
119,327,984,337,586,400,766,240,337,595,870,922,203,506,845,425,537,637,612,
008,507,142,644,206,926,892,955,272,377,770,348,630,384,616,428,176,151,332,
119,458,302,618,376,745,180,028,955,903,876,200,075,141,339,773,962,783,927,
106,313,785,462,651,708,596,631,887,387,736,338,470,981,848,640,365,960,051,
193,869,643,232,611,878,341,123,810,148,126,177,870,840,259,241,978,968,256,
655,937,110,186,901,990,312,017,288,589,868,290,697,018,020,552,876,974,731,
269,220,612,907,063,319,194,807,906,099,839,495,324,045,285,117,439,971,702,
881,503,706,248,301,033,221,485,334,518,878,374,498,971,821,323,139,009,838,
369,521,518,234,601,177,396,538,144,163,563,474,290,199,487,934,088,220,559,
183,025,284,833,174,953,063,819,529,309,075,515,976,500,051,916,843,547,028,
225,258,221,643,469,836,385,680,491,544,342,624,516,922,875,176,785,438,132,
462,870,051,125,400,979,746,216,348,840,546,888,595,041,603,426,694,251,985,
245,673,947,446,329,366,702,322,696,879,359,948,664,853,787,976,843,097,073,
107,295,419,426,121,785,258,409,011,773,270,142,879,764,447,848,038,132,658,
395,341,731,364,669,927,016,833,348,360,599,314,762,137,621,196,559,381,203,
854,920,731,482,071,483,268,267,411,085,664,099,433,048,675,514,016,690,119,
495,618,727,578,005,113,524,063,999,790,078,987,322,702,749,136,667,950,681,
274,797,588,587,024,949,170,375,440,293,257,613,817,272,912,731,100,532,624,
287,284,905,771,474,485,711,088,168,854,141,645,761,489,686,849,950,376,091,
182,651,035,314,472,043,502,946,132,477,292,252,103,914,030,885,408,238,919,
816,029,542,977,231,357,291,118,515,343,933,342,526,340,277,343,571,274,312,
229,730,807,849,032,064,637,176,231,978,883,220,493,478,889,566,327,414,153,
470,443,215,086,277,184,999,095,911,162,152,589,771,197,583,830,177,207,370,
290,801,766,380,995,120,371,320,940,517,996,247,041,882,905,661,881,969,258,
914,673,073,594,978,230,169,294,593,543,394,887,398,372,492,664,769,746,156,
459,833,561,993,837,394,278,493,937,059,979,852,269,159,133,501,787,948,494,
053,254,684,145,770,856,176,094,848,904,155,459,750,671,744,036,537,510,650,
706,666,233,912,787,417,369,626,582,267,211,559,045,902,935,131,262,900,263,
207,779,092,023,584,318,269,021,088,519,438,133,799,010,135,898,548,497,143,
315,724,765,159,442,390,554,297,469,326,643,088,391,234,441,300,219,553,213,
007,297,082,608,824,996,801,515,270,052,808,352,334,334,489,143,465,662,721,
376,824,097,821,380,359,840,400,378,298,908,527,590,381,268,204,158,119,191,
942,717,036,458,477,806,459,444,261,277,731,594,914,471,179,774,491,449,517,
954,636,038,010,462,604,343,256,639,386,650,475,404,569,815,101,154,826,361,
766,345,692,488,900,183,978,980,593,952,535,325,490,179,894,746,841,274,325,
851,440,768,416,447,051,326,694,511,517,148,092,234,490,172,297,722,386,611,
079,968,234,208,851,952,162,549,281,693,347,394,569,339,679,240,148,895,482,
996,156,359,888,340,263,311,542,735,621,998,930,718,767,815,933,417,248,990,
710,835,776,829,639,042,203,487,143,793,674,238,478,079,478,489,825,437,032,
850,727,292,183,532,869,727,334,900,317,937,816,127,869,848,207,052,265,471,
924,076,870,626,671,872,029,752,283,333,793,494,895,622,686,826,743,240,461,
007,873,932,828,073,326,568,284,709,809,448,350,092,349,908,022,385,584,797,
626,483,959,998,924,300,973,959,158,853,632,981,123,503,556,393,432,826,828,
967,210,741,969,341,170,326,670,303,070,879,255,496,955,926,358,163,647,020,
233,525,398,860,257,139,553,686,260,725,730,525,989,027,395,697,827,584,958,
650,926,887,512,823,987,785,717,177,170,498,014,463,968,738,042,259,889,148,
038,297,571,895,227,215,539,465,037,565,449,708,455,888,426,607,549,811,454,
232,979,059,687,479,667,345,651,874,804,389,281,567,178,398,222,808,519,970,
010,249,006,197,074,325,979,323,228,737,416,455,637,663,751,935,757,311,681,
423,254,433,026,759,345,395,690,320,307,100,063,295,611,103,830,039,854,489,
038,510,285,331,183,798,289,024,945,178,214,553,745,673,002,267,354,543,343,
679,206,290,996,436,177,801,386,170,562,714,015,790,717,443,605,418,301,370,
253,581,721,662,724,016,758,241,823,569,099,562,846,795,481,143,596,194,724,
032,623,673,622,337,279,432,584,056,106,042,106,339,218,409,429,430,231,382,
556,208,903,843,075,778,798,802,468,218,799,974,131,317,626,463,958,807,510,
154,150,406,060,281,939,941,696,520,756,531,402,821,509,314,322,102,012,876,
181,655,093,128,031,001,870,100,813,979,212,503,339,325,244,362,485,171,544,
244,018,867,954,853,274,173,123,446,276,938,442,844,632,514,400,443,774,291,
451,522,926,839,128,053,288,193,722,878,191,023,271,459,250,655,731,214,722,
964,694,878,094,698,303,325,903,246,748,335,377,352,578,019,750,273,268,823,
528,669,144,909,774,191,227,334,969,956,709,441,943,416,146,441,660,646,376,
642,383,784,136,661,705,197,121,684,942,713,907,248,925,153,512,111,236,683,
203,581,643,521,738,220,047,513,846,988,441,326,410,005,886,244,301,004,481,
762,808,888,345,433,889,151,513,264,544,767,726,672,583,758,387,420,991,787,
140,124,318,964,500,999,361,999,832,190,986,750,461,356,312,623,967,899,490,
247,717,734,122,734,668,792,813,659,595,028,432,306,934,610,197,709,633,684,
140,058,402,803,135,290,039,032,265,703,637,201,186,696,998,065,722,910,802,
068,909,076,760,701,871,428,602,280,668,497,076,799,725,499,687,662,688,078,
864,743,949,922,583,802,515,638,602,995,933,280,487,201,981,372,011,758,222,
362,969,371,337,954,265,563,417,126,442,705,658,139,571,035,868,878,643,263,
232,971,229,808,131,610,030,867,409,421,914,069,803,806,584,398,906,109,806,
424,125,579,634,327,048,044,195,187,096,789,056,112,661,590,845,047,217,514,
547,766,470,769,916,759,662,863,223,235,091,105,447,961,971,450,338,447,223,
293,339,692,615,063,111,196,288,923,460,589,851,060,690,674,400,567,154,835,
015,151,299,015,191,719,192,943,765,684,637,739,883,494,090,286,391,050,201,
279,887,867,112,128,976,808,735,086,117,439,505,472,078,938,416,673,573,077,
356,473,790,634,017,361,402,429,646,485,415,357,228,283,042,037,899,371,954,
513,973,063,634,418,845,634,046,950,505,899,964,480,590,449,081,695,152,480,
540,836,469,551,624,769,122,084,524,171,047,630,736,870,964,020,173,683,954,
251,491,720,664,504,215,242,393,850,789,392,375,312,948,728,831,246,226,971,
946,463,813,183,851,472,620,207,124,997,155,562,011,972,705,588,231,530,601,
268,897,029,819,512,748,492,176,841,139,128,854,617,301,452,600,114,129,639,
302,146,102,593,562,545,872,710,918,435,268,790,066,563,335,200,557,653,704,
237,933,908,082,824,870,870,083,399,009,277,334,700,556,511,621,135,143,911,
829,387,172,500,376,564,741,002,069,382,715,905,630,469,877,790,743,943,337,
151,381,592,837,550,986,675,150,247,911,341,377,487,918,844,976,691,945,282,
571,148,441,985,875,667,663,783,868,191,205,558,440,746,353,144,562,318,058,
645,695,737,873,992,638,143,592,910,619,381,308,802,665,804,371,065,182,774,
653,910,826,170,678,288,975,656,439,406,445,979,914,123,789,952,301,163,262,
403,996,680,636,647,062,251,117,689,699,957,276,811,392,748,229,188,662,302,
045,949,249,575,764,097,046,523,158,806,329,683,166,581,341,608,920,774,146,
843,976,458,985,873,979,707,802,905,192,093,769,776,456,108,438,650,807,954,
835,574,998,857,214,064,640,494,340,337,125,443,453,945,593,975,144,744,075,
572,900,866,039,298,961,522,474,629,757,009,510,172,101,692,197,252,696,633,
967,733,374,614,354,788,291,815,927,539,809,175,641,565,724,976,062,566,939,
088,325,252,113,832,964,288,605,633,629,532,704,158,635,953,979,321,590,329,
324,231,934,601,762,729,233,311,597,199,356,155,406,162,612,860,015,182,044,
063,251,146,021,348,765,120,448,947,855,307,810,895,609,300,565,814,595,233,
229,469,837,637,433,301,365,732,281,929,887,802,492,013,856,971,267,400,305,
131,299,018,703,850,806,533,328,100,609,110,917,394,201,183,634,878,273,711,
495,308,284,790,816,897,590,968,993,508,424,931,137,297,083,329,234,470,859,
559,987,789,266,502,629,498,855,105,512,146,825,111,493,144,369,257,842,549,
422,140,052,573,070,036,339,755,585,439,073,810,895,320,885,778,589,977,281,
814,820,298,980,143,207,097,174,746,553,562,287,782,067,140,592,725,256,563,
595,287,445,211,741,460,554,852,614,293,758,811,658,023,498,868,579,285,505,
373,235,891,670,788,725,806,449,622,238,018,088,168,943,655,751,264,283,645,
672,050,240,884,967,254,300,390,798,683,142,080,372,631,755,273,315,131,579,
318,393,905,362,991,280,465,633,515,010,628,867,434,881,094,175,673,336,710,
762,694,577,000,559,914,571,561,991,127,397,476,989,911,959,932,182,995,180,
469,487,694,058,656,554,140,445,757,044,245,972,901,118,357,877,344,221,229,
806,003,803,788,887,121,059,741,493,333,850,673,890,608,709,325,360,830,397,
547,588,599,461,162,587,575,494,324,301,933,748,958,403,795,222,321,956,319,
174,838,815,003,456,171,188,270,695,410,119,724,670,305,460,441,150,539,946,
705,386,126,083,713,358,465,806,193,876,727,585,706,026,031,818,484,932,382,
299,600,969,741,791,930,789,106,828,219,110,946,850,667,881,350,602,175,519,
242,121,255,414,103,287,074,729,226,828,320,249,219,527,035,336,850,341,821,
701,691,303,862,286,043,307,265,573,223,675,315,586,015,444,251,151,036,659,
793,011,180,097,861,864,544,048,686,291,004,899,923,998,165,198,276,883,581,
313,041,578,768,613,110,860,130,508,978,188,663,670,451,178,847,025,657,101,
537,315,291,066,678,289,001,671,416,206,285,821,290,663,217,230,672,256,951,
486,056,527,619,448,473,573,237,433,736,199,715,502,451,237,041,211,508,833,
390,131,393,869,822,776,908,949,228,396,005,329,809,495,532,105,729,503,235,
237,973,419,325,485,440,376,187,499,070,954,557,711,332,135,875,631,772,823,
848,502,656,904,286,855,875,109,938,465,716,564,702,487,990,370,206,151,954,
037,058,121,633,184,549,565,559,221,544,154,630,529,100,354,500,522,357,238,
519,796,749,731,989,293,851,598,163,670,039,773,826,789,394,495,612,777,616,
252,744,037,802,884,780,680,612,601,472,855,344,700,967,078,408,465,848,462,
074,699,643,200,443,843,277,500,340,884,155,534,148,754,539,256,864,468,552,
120,912,133,460,082,749,706,194,619,813,740,904,636,082,245,794,634,219,978,
482,688,826,721,823,016,352,828,562,367,299,240,302,284,835,329,499,008,976,
099,591,212,526,440,616,732,399,990,818,279,306,694,457,295,496,504,857,314,
376,811,502,818,209,714,804,925,481,917,222,346,707,145,428,884,906,120,405,
564,307,816,060,514,523,530,231,279,214,186,081,920,308,929,571,553,610,203,
675,132,781,769,573,962,672,258,510,508,353,132,847,813,082,106,054,588,069,
847,628,056,576,392,235,540,926,228,852,291,552,779,995,435,764,277,205,558,
316,766,568,893,373,101,937,777,108,966,305,447,235,264,776,235,318,826,174,
958,907,703,508,194,456,304,992,593,942,050,773,599,538,428,122,313,226,347,
598,222,243,461,564,692,343,834,804,839,636,030,624,841,867,030,912,743,460,
240,649,157,024,312,765,022,382,491,204,143,750,648,715,566,015,607,807,665,
864,361,276,903,822,322,777,414,780,625,426,122,681,785,115,688,727,578,320,
495,348,271,243,720,646,842,355,082,505,958,111,124,013,337,365,297,658,766,
100,675,916,220,193,265,176,818,626,303,981,116,335,698,771,640,068,857,121,
271,432,658,879,019,270,183,824,864,391,930,382,682,907,374,526,601,301,574,
511,908,432,686,051,771,845,137,598,982,016,750,252,865,097,045,677,204,323,
644,374,667,609,098,898,408,845,951,803,969,387,159,936,537,552,997,052,500,
321,073,452,190,447,407,580,926,771,389,492,444,220,882,645,663,563,097,528,
457,813,381,754,492,260,218,028,398,051,574,624,614,209,844,909,762,299,391,
244,695,250,592,137,387,603,444,607,261,737,257,720,601,494,905,485,010,907,
779,603,545,153,804,796,840,495,331,055,949,303,261,590,051,741,470,688,862,
978,039,283,743,707,370,559,776,930,060,119,490,108,960,439,374,736,242,931,
141,578,636,345,416,566,231,562,773,507,327,479,957,891,189,127,609,564,333,
498,802,091,429,313,729,985,205,707,650,694,766,240,028,480,831,260,540,125,
990,194,313,213,674,737,140,233,894,797,342,927,309,830,184,646,915,087,744,
389,146,350,777,885,620,507,576,884,268,217,774,044,499,012,169,328,012,217,
965,314,759,631,394,127,796,129,904,644,600,350,811,049,496,931,276,000,718,
770,152,208,682,686,284,015,790,284,017,225,805,167,271,533,505,697,519,958,
829,806,716,043,075,678,029,851,533,671,621,993,544,396,626,984,109,430,897,
622,691,730,627,400,916,715,253,607,920,520,386,617,992,726,138,815,019,018,
551,351,680,725,529,608,053,105,078,479,571,821,940,497,008,403,071,392,083,
183,550,970,648,338,816,564,478,373,625,700,723,752,759,230,517,176,064,448,
048,124,892,473,371,747,795,214,763,528,919,561,616,514,798,602,220,345,326,
551,493,816,527,176,103,002,556,922,757,372,372,223,168,609,409,589,990,694,
652,611,909,563,918,781,715,623,014,047,850,387,426,354,843,061,840,372,125,
142,239,018,435,371,823,231,337,327,047,920,615,411,122,380,243,563,854,138,
211,445,291,805,814,826,656,702,058,825,711,794,673,003,663,141,017,524,224,
960,989,569,083,639,933,473,243,114,206,466,038,949,555,313,780,947,687,443,
125,059,114,091,634,079,655,710,915,083,366,463,571,153,489,352,554,423,630,
891,779,211,495,542,009,855,401,676,056,006,427,278,541,934,906,807,289,724,
823,888,711,636,522,825,597,148,224,316,011,241,401,913,935,667,118,439,523,
775,626,797,362,373,592,681,827,698,154,602,055,502,765,672,618,737,410,622,
566,931,221,420,413,347,151,648,856,516,628,748,039,467,954,915,960,808,645,
232,370,033,696,238,815,356,730,522,084,649,432,883,974,955,829,168,921,572,
505,139,389,445,258,597,388,711,312,884,125,066,464,316,228,454,068,719,690,
550,964,213,496,773,324,388,117,834,918,413,015,624,163,344,338,235,767,482,
647,909,124,975,435,830,060,576,763,737,105,534,188,996,904,713,607,451,194,
288,043,469,507,255,808,555,936,635,401,880,428,158,472,247,011,983,758,697,
788,939,384,738,416,338,964,798,737,638,361,941,748,713,342,990,141,172,441,
640,778,885,917,206,114,258,183,150,009,077,929,265,174,285,764,085,906,693,
684,262,313,001,667,982,179,433,376,866,919,508,798,422,273,530,427,485,970,
869,961,955,453,094,822,291,531,138,994,345,770,341,630,845,429,131,862,185,
550,405,475,642,499,414,375,838,444,984,815,587,596,507,807,647,317,198,645,
431,608,533,022,745,719,187,328,117,695,481,718,404,401,479,598,116,348,631,
543,539,445,411,573,460,479,561,285,738,530,941,372,072,564,960,689,043,975,
878,866,223,263,324,534,328,166,674,282,088,661,594,261,116,539,214,405,083,
252,887,613,793,061,359,804,072,719,547,352,555,216,334,793,628,456,303,052,
331,253,441,467,652,255,138,616,303,961,625,351,350,643,638,118,140,179,277,
395,566,311,877,281,214,100,904,876,626,927,587,625,142,434,472,903,790,610,
915,181,431,037,784,634,320,589,659,529,748,392,346,897,860,208,098,017,279,
725,596,888,465,996,555,853,985,109,634,674,725,469,491,784,122,262,087,466,
076,852,624,300,068,522,255,997,474,882,450,127,226,417,483,172,466,684,456,
698,002,029,085,765,436,091,832,995,204,816,764,481,023,667,039,166,548,791,
118,259,373,591,255,911,759,739,095,979,384,543,236,248,132,132,162,033,367,
883,121,232,468,986,843,972,135,282,862,129,428,354,351,211,501,742,632,383,
188,405,831,997,793,620,228,195,315,552,821,696,013,120,625,006,810,782,318,
322,706,505,241,292,140,495,649,190,323,498,599,902,540,838,360,333,347,539,
457,422,584,912,463,800,267,052,167,725,655,186,809,404,489,411,265,532,135,
428,570,855,062,324,132,065,917,940,623,817,748,368,244,106,451,189,006,486,
640,459,193,563,600,012,132,474,259,443,226,799,249,228,136,981,270,182,699,
162,658,703,494,508,917,680,373,341,599,986,185,828,733,268,037,434,778,478,
580,438,172,019,832,368,041,322,109,806,850,832,035,843,054,945,810,053,600,
645,655,956,147,942,104,690,398,373,204,877,865,421,018,104,187,640,979,537,
620,207,561,473,039,870,198,676,925,565,825,611,150,893,406,335,592,723,567,
305,544,218,723,102,062,189,318,588,459,747,852,234,828,697,344,709,521,419,
230,613,502,513,676,261,840,218,925,754,154,898,732,497,912,306,120,207,436,
686,597,957,334,397,831,874,193,971,197,216,492,875,364,382,261,717,162,596,
780,196,999,164,434,162,481,577,052,794,464,922,352,879,758,420,766,186,095,
103,274,510,798,227,087,841,806,943,449,285,475,402,890,593,422,282,314,199,
934,161,425,167,081,175,261,246,919,624,732,905,045,984,945,701,409,459,049,
979,839,716,260,452,702,566,787,482,630,531,927,558,763,698,127,953,720,184,
292,344,564,509,005,793,987,471,454,243,935,153,348,829,762,654,454,971,579,
125,303,463,712,535,822,700,358,018,008,206,894,029,805,582,034,253,812,287,
477,585,446,130,201,891,441,825,377,162,993,408,492,952,117,183,381,395,435,
580,544,095,853,142,200,698,094,788,382,051,986,493,056,250,869,859,058,256,
557,606,418,686,152,015,879,173,608,301,182,145,471,938,266,944,956,752,612,
517,763,243,204,242,051,658,772,471,935,726,897,642,327,818,186,178,004,952,
044,857,138,259,481,482,277,565,909,471,981,943,069,690,397,766,755,015,264,
051,509,861,720,323,049,841,463,992,009,495,471,053,737,422,640,038,556,763,
659,553,689,862,499,428,465,168,812,132,836,522,843,950,616,551,979,964,478,
515,768,793,953,214,518,862,076,267,177,407,410,423,309,828,230,832,404,333,
158,929,843,094,358,870,253,155,119,717,982,722,445,366,009,843,792,828,077,
466,778,635,279,991,756,418,756,635,374,653,062,024,868,830,427,412,112,902,
200,075,203,687,544,833,474,405,782,975,325,646,965,667,076,590,715,142,292,
452,669,712,491,102,892,809,977,630,870,412,237,108,513,711,726,688,189,246,
859,880,150,760,865,397,345,846,204,492,138,334,962,517,965,485,151,784,244,
870,837,034,745,246,155,295,924,974,261,629,172,779,216,201,410,451,273,658,
942,964,041,629,369,357,830,677,058,513,670,385,408,682,066,419,812,307,835,
965,729,785,763,081,665,454,403,276,370,009,328,734,761,410,067,147,947,450,
376,621,803,929,490,954,849,826,780,537,913,372,212,544,734,402,016,583,340,
163,677,052,102,245,722,421,402,616,622,043,659,502,219,067,654,074,796,768,
192,121,931,757,783,767,231,083,327,274,251,880,938,094,390,521,039,135,380,
455,319,916,192,346,571,037,142,246,654,531,076,961,482,250,122,023,854,289,
047,720,386,182,418,994,169,973,166,361,059,170,152,663,276,018,310,538,822,
292,463,010,718,372,808,933,553,534,905,918,788,144,960,675,384,255,454,472,
938,173,307,535,937,540,957,988,960,156,159,879,737,568,270,758,288,424,365,
612,568,672,980,445,334,482,936,778,864,962,090,987,324,332,323,674,983,183,
164,434,751,226,868,846,580,829,118,327,179,096,716,033,599,963,869,309,961,
448,727,562,515,194,003,667,265,325,727,360,735,145,011,428,227,706,144,707,
098,623,542,010,752,535,159,469,190,381,913,642,712,608,373,756,351,557,994,
643,081,730,573,706,636,916,154,797,242,246,586,670,063,533,895,311,094,977,
942,637,555,674,189,829,993,396,930,561,594,406,626,019,359,732,535,370,209,
218,878,099,328,689,873,772,447,981,545,358,816,460,268,024,047,825,291,598,
861,821,298,331,709,167,754,392,239,056,021,718,599,089,324,310,442,196,156,
168,802,201,130,577,418,097,781,524,111,969,720,523,772,290,959,435,143,909,
761,337,554,958,631,064,960,405,054,903,425,286,746,481,835,223,145,870,459,
580,699,124,241,233,060,088,892,891,818,441,624,026,885,988,282,952,051,920,
290,756,857,015,107,504,051,317,942,739,400,687,443,385,532,381,853,665,213,
024,505,094,068,396,295,794,122,677,888,661,098,636,136,648,325,920,349,661,
243,596,655,675,493,458,937,658,087,686,961,929,167,042,506,282,728,977,730,
766,784,986,716,273,260,973,196,226,811,920,187,534,967,906,330,345,703,003,
723,017,669,368,666,521,290,730,617,911,628,743,732,872,034,644,953,349,280,
489,818,410,973,292,339,210,207,047,693,477,203,298,039,981,857,381,447,125,
856,928,795,479,114,815,893,635,529,135,681,659,506,678,059,851,754,407,917,
587,081,326,403,118,243,212,165,060,372,074,682,607,346,960,753,550,850,903,
939,848,544,549,178,756,959,837,122,844,516,316,126,432,884,569,976,803,682,
787,334,546,160,170,589,414,422,356,263,259,013,019,957,776,791,318,549,998,
628,336,264,019,236,794,084,323,706,788,196,538,854,145,606,229,487,929,104,
989,056,489,216,321,541,759,740,744,405,392,085,647,007,956,586,367,576,553,
684,305,480,211,405,473,886,821,985,469,478,006,130,128,625,651,205,931,888,
225,210,023,968,784,884,910,146,266,174,899,503,652,178,200,590,476,241,588,
455,700,130,691,313,160,877,444,824,648,399,821,904,445,154,762,431,008,375,
751,712,472,434,476,750,097,336,417,697,139,633,996,729,722,353,548,992,630,
467,004,722,920,090,547,326,869,150,096,032,210,946,082,878,473,339,934,933,
597,370,006,108,947,316,836,420,710,649,124,552,173,208,547,205,131,522,712,
162,497,376,037,867,436,389,552,125,753,663,829,796,852,313,473,647,033,699,
114,731,341,164,235,805,278,316,969,649,988,617,213,183,194,989,993,720,552,
419,724,613,966,207,924,759,625,643,021,629,423,756,877,814,295,942,119,891,
055,752,179,811,912,357,741,728,489,098,715,278,760,660,208,269,317,235,693,
310,681,593,788,986,692,317,173,364,495,695,235,135,793,474,737,300,559,142,
989,158,567,661,265,227,317,088,202,865,367,749,738,640,615,578,964,770,987,
579,838,756,228,820,143,266,827,810,608,893,516,055,439,499,640,644,188,794,
971,278,503,197,710,804,732,050,829,849,926,624,350,027,637,182,713,011,806,
057,268,692,251,803,508,448,622,324,185,678,516,500,899,555,957,600,110,104,
469,287,443,662,513,508,945,288,968,680,839,976,710,548,170,208,983,734,950,
274,794,046,350,663,475,657,507,398,455,130,560,552,470,707,918,993,915,342,
366,579,953,733,883,059,137,496,553,715,519,785,975,812,464,914,031,516,598,
406,356,605,766,347,197,391,279,621,504,706,011,887,707,876,728,010,754,277,
767,944,913,559,729,523,336,748,175,830,090,970,749,961,778,650,047,690,812,
403,810,548,111,899,967,881,283,249,439,183,577,454,407,786,642,072,824,996,
153,017,554,404,423,189,138,585,276,117,864,137,890,698,713,129,270,822,253,
761,535,142,455,378,678,379,230,787,407,868,187,502,140,638,058,567,478,334,
966,458,800,657,594,880,574,345,488,897,261,373,156,555,762,118,498,021,800,
069,429,883,646,991,466,266,444,459,030,172,320,613,528,476,564,531,696,648,
897,883,628,578,345,173,099,839,346,745,208,306,077,455,401,795,577,533,891,
282,278,525,118,893,463,389,758,189,327,961,132,048,458,268,322,874,306,785,
725,824,755,436,340,266,309,746,469,854,566,545,842,693,018,565,197,562,166,
450,239,534,050,565,144,185,599,288,715,622,045,475,281,587,865,421,718,428,
161,691,901,365,406,288,972,734,896,686,825,489,398,982,021,148,417,960,397,
529,725,521,216,497,000,760,430,806,127,270,354,751,114,033,018,842,917,719,
062,856,393,855,305,372,960,602,552,242,075,197,942,139,217,317,249,698,407,
941,813,559,497,525,295,352,750,399,906,849,713,716,472,271,034,429,776,786,
161,644,310,757,969,820,289,183,719,800,094,335,993,918,363,320,793,729,652,
791,158,026,291,429,234,787,016,334,936,600,188,070,756,861,752,609,843,332,
880,028,742,643,727,946,065,649,367,733,700,966,234,129,074,916,910,448,388,
908,727,049,554,289,979,287,060,638,983,733,975,023,033,051,357,327,147,362,
826,829,363,695,648,508,814,040,957,572,729,533,458,746,927,277,512,771,487,
454,336,209,037,733,219,569,898,027,978,626,648,532,756,340,612,200,876,406,
323,862,814,557,138,504,804,207,622,529,012,735,133,946,116,842,686,777,439,
096,169,876,787,771,726,799,590,038,861,611,128,649,392,399,590,405,571,162,
714,958,649,021,993,279,273,075,364,921,483,122,152,270,208,113,766,650,963,
693,601,364,738,922,096,336,412,597,033,780,848,372,161,872,595,210,759,037,
739,898,685,611,246,929,354,904,955,718,186,031,270,895,174,201,912,601,604,
904,183,952,638,630,681,960,719,484,040,477,570,388,784,364,407,391,010,345,
020,486,349,089,628,453,716,073,838,239,494,372,105,639,435,587,460,065,927,
397,937,658,827,187,000,268,394,782,110,686,727,328,996,885,831,588,274,997,
515,676,525,390,332,621,536,302,942,097,083,978,026,476,207,788,109,310,225,
007,155,701,535,294,863,007,804,230,204,237,175,330,535,630,151,040,896,525,
192,081,959,538,829,831,885,617,916,925,838,859,022,609,548,674,857,045,422,
005,631,165,078,316,928,213,818,930,495,282,655,759,705,030,564,228,233,628,
967,267,613,828,725,034,307,634,153,693,508,591,755,897,952,329,878,835,239,
795,914,000,656,333,560,628,669,405,360,348,196,950,460,841,922,351,792,463,
911,507,276,454,390,054,991,584,440,788,554,697,945,397,709,252,939,222,508,
014,529,759,147,692,244,954,040,289,405,119,304,985,370,438,685,000,676,310,
884,343,478,467,729,046,907,897,027,107,353,745,435,542,532,353,173,578,402,
836,114,242,983,510,167,858,965,656,307,143,032,087,011,617,259,672,970,715,
998,539,001,618,427,488,631,825,043,721,343,118,388,726,112,332,164,994,835,
835,618,759,203,382,346,337,534,928,473,015,043,283,105,575,563,300,963,861,
773,155,687,064,245,961,535,946,523,251,439,396,893,893,203,400,494,775,039,
551,237,869,852,359,436,073,550,712,911,032,612,303,672,476,206,738,918,027,
519,942,491,046,621,320,030,504,334,998,171,896,726,750,239,571,563,097,208,
769,151,831,748,113,204,247,029,785,851,021,142,387,456,303,938,713,829,552,
791,819,445,800,087,101,568,448,318,021,543,905,933,988,968,500,000,158,396,
943,301,719,318,222,275,332,183,308,775,956,907,562,875,972,869,137,983,474,
037,233,008,100,797,380,619,575,608,745,349,804,383,530,231,606,329,223,074,
659,429,251,144,188,829,321,454,098,532,767,638,882,331,445,066,178,266,719,
455,959,095,214,132,695,747,237,221,631,768,136,760,936,309,721,267,512,268,
269,408,745,937,940,822,482,945,486,765,251,927,893,582,460,736,396,460,603,
754,796,087,764,140,897,996,536,442,624,216,977,844,431,048,058,120,626,797,
087,676,915,865,693,044,399,838,449,728,468,169,891,625,680,738,274,575,515,
707,459,485,729,501,175,935,770,443,891,043,253,023,742,307,607,164,716,524,
100,226,441,236,454,778,874,002,431,706,636,659,437,492,061,796,900,764,208,
609,660,452,355,956,535,608,218,553,250,367,978,308,366,441,944,360,456,180,
964,310,252,744,102,295,021,000,954,517,833,443,695,695,959,945,845,795,500,
714,679,095,197,825,215,392,259,067,705,575,677,588,724,488,374,363,906,321,
123,963,207,637,709,982,845,398,349,659,207,365,588,148,006,383,125,183,182,
643,553,677,646,348,754,742,235,441,718,964,089,401,659,500,711,694,624,365,
419,547,248,211,760,128,381,577,060,823,062,489,043,585,104,622,732,233,748,
651,305,994,796,311,209,761,789,850,875,688,934,123,827,939,222,030,573,438,
099,486,647,352,958,264,679,300,105,034,352,245,728,574,012,989,386,276,107,
701,439,601,449,038,710,005,349,846,817,997,842,137,861,813,038,798,679,593,
613,484,145,077,293,829,495,807,199,290,289,475,654,393,443,816,623,305,025,
692,436,956,017,007,675,891,180,881,442,127,562,360,628,680,510,446,568,874,
160,076,483,773,454,336,654,690,999,137,738,369,230,924,361,948,513,196,667,
371,104,853,618,752,311,961,301,546,461,765,236,956,255,848,911,123,388,448,
520,873,204,480,884,599,933,752,846,285,655,204,766,281,952,314,150,693,840,
921,295,163,430,849,385,086,232,279,153,135,814,987,631,458,050,909,953,052,
055,909,584,529,579,017,983,871,849,646,182,398,972,684,050,023,046,962,054,
651,200,456,674,743,465,732,114,359,918,900,342,612,475,406,333,035,266,511,
838,393,091,278,568,138,718,028,512,235,330,862,997,584,278,319,603,339,188,
694,661,353,070,347,809,157,604,902,495,141,019,341,279,890,443,015,238,726,
587,034,028,488,436,943,179,729,273,905,979,072,327,254,838,676,214,584,967,
303,776,177,364,154,223,411,048,664,873,945,763,665,865,221,591,602,086,740,
161,193,895,469,081,228,700,509,350,782,879,218,297,991,271,290,428,635,168,
291,813,425,786,911,940,502,122,650,776,752,582,327,226,029,078,334,478,097,
665,852,085,608,218,477,117,014,839,364,106,598,735,667,231,446,471,688,794,
853,746,711,959,851,271,143,388,077,032,523,654,783,459,870,940,884,032,429,
448,062,623,493,264,966,595,829,584,310,462,881,542,103,373,688,927,188,640,
224,924,273,853,287,790,713,683,546,636,476,872,262,571,860,184,449,363,608,
605,845,671,683,598,115,251,548,685,224,703,377,074,395,254,171,885,342,663,
761,268,474,715,043,325,480,391,737,682,704,128,952,108,157,931,924,665,831,
105,488,450,568,597,535,165,090,624,980,193,907,110,290,940,990,074,649,325,
420,019,514,781,285,372,321,188,601,103,611,490,681,555,501,779,143,625,468,
483,854,647,970,834,002,775,383,628,623,692,978,173,741,210,510,562,386,118,
517,685,424,936,310,813,597,071,911,479,889,852,184,080,311,075,039,944,083,
490,738,291,000,765,914,504,910,719,800,710,411,367,157,740,893,086,777,314,
172,534,781,592,080,550,293,436,071,461,963,905,571,961,600,764,748,074,302,
096,818,908,270,392,128,217,302,423,593,759,334,610,730,134,459,837,733,075,
987,989,790,166,176,296,331,654,358,141,563,914,829,196,049,586,280,800,378,
891,754,975,230,052,954,370,380,965,550,076,067,230,996,449,987,004,753,274,
127,915,419,292,173,683,994,846,616,502,346,300,086,401,041,103,300,313,113,
332,804,043,746,967,139,455,039,371,021,277,699,439,926,020,384,249,346,895,
799,664,485,865,924,040,184,088,861,005,227,906,392,684,927,854,335,605,997,
441,571,993,878,828,624,542,839,168,903,315,350,183,843,696,117,227,143,350,
162,284,812,328,044,710,973,519,859,989,720,692,379,103,174,637,769,483,959,
317,665,616,845,833,272,684,805,557,329,098,276,622,094,868,815,727,330,005,
412,696,082,111,722,315,332,807,500,729,215,047,695,408,610,679,676,325,837,
154,360,675,110,292,300,017,564,007,416,739,543,495,263,541,192,094,553,143,
634,927,558,011,887,178,383,639,699,304,783,420,722,212,308,751,078,799,146,
484,996,740,323,343,403,103,817,565,632,060,631,854,806,293,331,569,526,420,
719,122,274,940,477,676,464,545,242,852,719,102,822,219,202,313,276,038,891,
718,292,302,124,688,800,784,095,937,273,751,939,223,434,620,055,790,422,320,
010,520,323,923,153,696,597,300,759,372,258,225,529,652,403,441,898,661,683,
435,652,951,196,703,058,623,413,028,576,881,439,748,972,508,863,693,741,238,
351,177,748,788,388,041,433,829,087,404,422,909,635,958,473,389,223,725,835,
861,491,569,739,416,623,101,688,436,327,035,205,032,430,689,771,883,600,538,
611,992,270,148,031,924,276,807,410,179,793,267,453,453,856,883,800,727,788,
330,275,229,493,988,778,618,617,529,049,021,987,369,462,243,500,249,946,478,
620,007,459,321,927,271,364,669,153,304,502,051,698,858,863,821,818,962,056,
210,016,048,248,104,728,869,458,664,100,939,753,736,876,503,813,947,602,369,
902,704,696,144,826,510,076,672,268,952,416,656,707,690,493,242,390,222,555,
938,887,596,100,305,404,275,136,288,265,093,101,840,301,410,941,678,409,686,
151,262,515,560,393,075,699,626,222,479,766,427,590,799,033,860,834,052,706,
385,104,528,718,129,174,358,042,144,922,535,234,537,302,754,645,377,142,668,
218,107,778,763,050,204,707,494,536,076,647,319,638,212,114,770,977,576,761,
618,919,431,671,545,881,831,571,899,237,015,657,109,120,154,741,867,152,864,
845,521,911,124,720,593,183,047,871,139,919,216,551,684,857,835,518,058,524,
407,979,688,126,395,744,729,557,084,140,576,314,037,473,177,568,752,867,384,
183,410,279,821,606,600,442,861,360,284,683,910,898,272,510,271,769,723,525,
958,796,366,061,989,886,920,370,725,931,453,811,281,101,913,413,478,658,811,
052,799,822,456,159,149,764,117,988,008,846,000,285,637,512,458,354,250,522,
241,914,938,800,437,440,982,648,613,966,848,966,601,152,800,928,386,722,828,
531,862,841,945,985,704,583,682,754,483,615,824,448,096,294,144,294,078,588,
258,076,570,639,346,174,966,943,831,896,089,801,116,305,675,525,473,712,781,
444,992,013,489,072,191,327,354,052,326,256,736,359,158,156,141,966,090,784,
852,767,931,490,565,724,711,539,998,999,603,651,066,640,136,637,334,422,272,
166,504,684,223,429,156,147,749,698,244,327,430,225,186,683,439,692,836,044,
784,617,815,852,410,373,573,171,290,787,331,118,581,629,334,307,283,204,848,
352,564,580,963,850,553,120,570,446,891,590,885,282,595,141,576,072,488,984,
172,916,317,977,799,988,835,949,752,979,762,964,264,541,185,396,967,809,345,
891,538,644,880,966,424,524,643,073,267,870,726,907,381,516,086,289,679,884,
153,889,915,006,727,273,972,682,963,295,722,416,737,985,642,807,553,565,976,
822,161,892,768,761,067,069,827,539,613,241,867,887,447,685,801,122,840,620,
455,935,838,876,303,573,495,532,012,078,690,260,588,425,050,537,949,618,588,
609,260,758,648,532,931,948,816,775,558,791,931,748,979,096,604,330,039,561,
804,673,523,776,498,577,363,471,717,210,663,058,311,129,976,911,507,027,257,
107,709,054,922,453,679,043,701,206,040,645,647,750,623,664,615,894,775,625,
343,490,278,105,991,177,988,187,475,174,977,015,196,630,881,726,393,848,508,
709,724,629,065,000,321,126,110,683,934,691,599,445,365,878,431,232,810,773,
946,780,437,506,937,115,780,529,181,781,741,769,254,350,551,453,197,021,049,
270,220,901,464,102,774,830,574,869,103,551,243,281,816,120,181,405,526,407,
617,169,408,884,014,875,708,210,365,082,002,922,233,925,737,752,863,998,662,
563,180,339,910,826,794,787,800,366,010,134,688,991,472,206,422,954,925,165,
065,492,176,587,634,617,275,815,790,216,529,208,708,796,411,355,669,486,936,
878,649,394,444,462,116,556,810,046,908,734,587,506,717,458,464,019,581,729,
077,789,032,726,107,385,235,585,869,053,648,962,812,323,694,835,442,137,377,
386,826,294,304,878,545,055,521,601,645,621,181,157,178,431,783,021,188,327,
893,035,460,817,525,725,394,019,402,424,168,266,278,868,588,705,307,161,507,
484,202,448,459,330,959,116,095,758,192,575,886,806,594,076,742,894,158,516,
849,505,955,910,232,008,139,261,065,303,438,758,971,059,813,808,130,153,482,
309,908,953,012,772,005,578,739,387,726,808,918,678,729,188,908,591,893,323,
982,163,161,444,964,759,691,657,503,898,474,761,922,978,209,682,412,918,085,
291,451,130,701,628,389,454,467,636,728,157,777,155,841,783,364,992,123,889,
243,162,595,999,702,702,155,559,594,209,034,755,201,110,041,432,678,788,607,
660,178,428,602,405,597,433,326,509,754,768,813,250,208,744,570,754,236,506,
676,400,908,616,042,608,867,433,155,235,090,394,694,021,817,657,770,238,813,
423,676,535,280,592,420,156,813,767,486,366,382,657,326,638,286,895,871,798,
799,300,022,228,171,258,022,463,921,671,713,016,115,008,815,496,634,535,475,
967,970,207,646,926,284,700,717,562,021,757,525,044,790,843,487,794,568,583,
854,289,077,441,745,150,133,436,887,074,768,011,866,823,272,056,432,221,100,
932,517,365,463,028,698,301,754,320,047,616,117,117,345,196,893,557,557,865,
696,881,553,654,438,363,391,089,037,163,869,086,585,612,145,135,895,556,332,
711,847,922,169,231,652,190,729,883,797,802,790,402,403,633,692,833,196,911,
862,578,347,042,841,013,241,530,673,337,177,997,370,178,954,273,952,017,027,
989,160,481,648,122,851,392,898,530,505,826,772,110,262,574,601,959,817,494,
873,815,594,959,762,451,143,660,374,747,385,332,833,694,254,918,076,948,084,
453,364,885,985,343,774,797,964,963,674,515,510,906,580,566,862,181,131,620,
269,235,797,652,697,069,109,021,674,727,270,210,599,160,849,756,228,020,023,
005,868,961,692,411,335,856,394,059,687,231,231,461,329,939,379,569,781,198,
769,749,966,608,380,734,579,419,186,737,272,634,920,011,931,482,356,579,627,
946,959,538,324,984,264,733,131,354,825,791,017,325,325,945,942,852,860,417,
274,877,956,138,752,002,800,263,767,560,902,645,323,154,723,618,325,181,730,
287,655,256,413,416,264,872,927,652,042,361,620,122,503,370,123,000,001,146,
595,168,717,996,127,829,432,178,767,709,069,623,677,225,457,456,481,649,737,
787,627,703,115,764,424,849,568,724,387,408,732,495,707,983,979,148,374,072,
136,431,796,517,715,707,900,525,223,941,025,647,827,704,210,589,234,314,309,
956,448,518,796,384,106,653,712,822,223,757,221,611,459,854,253,255,858,480,
693,036,653,372,741,565,012,357,800,975,555,255,812,635,609,130,138,124,689,
966,828,282,364,436,134,017,631,249,277,515,596,696,102,808,062,859,677,825,
709,926,758,247,693,915,098,489,361,761,420,570,353,918,451,494,350,378,382,
453,005,175,214,282,173,235,959,704,954,916,288,757,245,929,913,557,567,332,
535,370,415,667,476,532,381,766,593,944,959,497,297,347,034,719,773,189,422,
404,749,147,989,160,749,932,575,801,816,603,267,883,075,042,020,532,573,296,
456,962,324,525,725,110,857,949,660,368,721,375,150,046,218,950,866,628,259,
932,506,855,446,053,913,772,695,261,423,502,117,741,221,122,870,655,569,378,
942,856,139,544,110,496,464,173,118,219,852,133,174,069,792,749,328,867,324,
636,469,180,488,619,273,939,735,143,837,496,279,351,534,677,620,723,044,531,
754,436,960,759,695,071,499,272,067,092,660,042,618,904,516,662,389,205,187,
526,182,433,322,516,409,786,882,698,217,575,978,958,414,871,020,500,996,283,
998,164,940,668,147,338,434,014,123,279,529,423,216,007,112,197,905,700,459,
750,199,371,609,335,230,892,071,930,943,919,964,638,608,480,716,186,200,848,
994,338,220,090,901,543,958,174,282,302,431,433,196,134,357,966,049,522,830,
924,348,064,656,589,958,528,296,908,349,400,786,490,534,591,571,137,981,425,
493,589,278,344,951,241,255,439,387,085,389,844,257,143,527,793,742,358,885,
874,094,649,309,369,341,457,975,558,318,297,813,637,123,797,342,415,869,577,
124,755,875,978,906,677,362,644,629,535,003,698,332,507,074,198,904,785,815,
447,719,831,383,978,813,452,457,208,114,657,717,576,551,096,439,700,469,417,
030,156,107,800,696,760,659,465,642,766,038,315,305,462,674,492,388,836,887,
898,655,420,062,992,490,222,702,869,258,567,634,986,748,990,133,585,040,996,
576,495,309,831,330,748,067,165,264,457,228,289,796,089,831,201,013,426,600,
018,689,266,712,171,749,670,491,993,927,985,814,054,363,173,071,442,839,224,
004,161,149,164,560,534,274,314,492,509,457,597,569,941,111,951,638,723,805,
331,741,698,710,526,814,444,326,975,926,552,006,527,716,217,959,687,078,718,
141,652,962,169,129,311,392,966,697,401,012,711,697,619,662,189,594,575,117,
214,861,446,160,053,477,757,405,508,417,181,761,007,074,622,598,932,918,639,
463,870,159,144,090,681,741,435,050,704,680,986,537,866,520,711,336,541,939,
572,903,626,986,322,457,569,354,488,333,873,716,759,340,351,313,122,662,680,
218,539,272,656,590,308,089,522,693,972,740,137,807,601,957,745,478,702,933,
583,784,853,082,362,991,021,370,268,187,361,239,117,015,739,339,709,881,562,
439,546,340,519,594,648,384,111,642,879,392,042,563,940,031,425,094,413,858,
391,710,868,509,504,673,718,309,350,404,625,130,108,477,053,535,354,976,311,
816,514,403,196,309,370,902,824,686,453,904,883,387,841,984,951,054,270,847,
206,922,202,314,468,594,839,615,908,972,942,794,966,711,427,928,363,245,383,
860,699,049,900,903,680,279,051,065,390,624,930,386,248,945,257,754,732,633,
875,108,543,962,467,657,819,974,651,754,385,878,032,333,391,594,324,525,888,
026,033,553,458,009,357,010,906,098,737,994,546,533,497,443,155,602,101,387,
191,847,507,165,855,192,278,787,336,043,712,335,397,354,907,676,121,213,541,
907,575,237,414,667,594,191,868,358,322,102,629,128,994,927,558,513,171,260,
339,704,871,489,391,336,736,116,192,538,751,290,787,343,801,526,025,613,666,
708,610,742,068,697,150,738,930,824,258,113,268,394,002,206,589,177,736,851,
400,872,819,082,114,359,659,772,995,279,763,691,004,236,605,296,244,601,139,
730,228,270,403,525,559,674,196,459,659,322,386,355,851,333,169,249,441,861,
014,224,136,391,538,132,124,401,732,855,760,553,562,186,104,494,200,036,514,
790,263,345,433,562,016,783,241,710,403,438,834,966,863,925,281,223,932,071,
209,759,701,270,067,703,365,424,673,996,905,853,936,816,843,436,671,706,321,
130,888,279,556,296,986,283,889,753,881,121,628,041,492,423,859,823,232,575,
931,431,024,420,561,507,245,960,979,476,625,629,189,553,418,858,059,219,752,
543,955,559,324,098,101,598,786,094,023,443,038,529,579,479,007,111,229,535,
300,832,152,990,587,448,680,708,583,449,480,724,084,760,547,262,848,472,847,
596,976,838,251,242,265,737,337,826,465,007,726,590,822,305,201,838,359,226,
463,100,616,223,458,506,844,578,714,371,182,444,963,891,436,330,994,977,649,
606,805,788,227,574,078,405,944,655,719,169,153,944,606,571,731,084,508,596,
922,034,944,213,328,080,372,942,454,800,884,383,766,069,766,056,784,727,479,
217,178,358,603,116,597,788,191,120,833,330,937,339,155,284,062,134,508,022,
495,737,590,932,506,066,970,069,713,594,539,299,419,739,616,319,259,646,948,
157,945,282,244,035,854,321,392,056,319,657,753,873,429,111,118,183,262,345,
251,296,478,952,072,489,185,300,663,501,802,177,674,589,974,873,539,334,003,
721,588,783,947,484,978,169,904,787,557,133,208,395,704,870,498,205,865,086,
041,304,142,595,531,247,261,674,982,865,163,531,060,876,945,431,397,816,232,
115,145,081,196,933,865,194,676,732,052,229,764,707,611,906,846,102,638,190,
930,128,459,732,009,002,305,027,241,535,639,263,645,159,877,888,492,581,098,
289,050,092,341,937,073,489,997,870,065,717,815,962,095,053,005,379,895,576,
806,243,003,757,289,527,230,427,855,390,534,991,286,399,621,677,776,726,700,
600,682,566,235,441,254,756,452,441,274,786,221,752,214,851,875,608,284,963,
983,891,304,198,269,314,292,817,233,110,109,745,546,132,757,653,351,506,190,
779,899,010,253,639,100,068,402,667,066,661,547,450,139,403,779,236,999,145,
240,931,391,152,711,872,008,944,318,336,317,325,380,375,556,624,411,546,905,
918,809,632,480,431,505,632,826,251,629,638,457,120,042,238,582,665,927,916,
682,232,853,122,059,965,763,312,867,393,425,797,815,652,119,452,609,476,681,
600,535,679,655,889,253,594,311,518,241,220,283,139,813,584,651,849,835,653,
441,518,184,926,253,505,627,042,194,937,365,842,665,321,230,173,755,750,106,
308,104,506,890,382,513,780,486,832,517,837,707,176,198,046,667,354,909,383,
372,284,356,211,262,185,315,330,449,723,086,498,782,913,850,904,691,465,226,
538,470,447,834,103,688,489,459,248,686,410,173,822,702,345,699,934,166,382,
283,526,195,125,872,778,062,850,578,606,719,392,077,032,939,032,689,989,874,
547,635,368,031,280,776,494,028,118,063,090,477,557,600,150,100,121,150,717,
030,863,749,227,268,436,814,745,691,646,243,610,131,294,395,126,197,787,777,
001,873,690,882,834,794,195,944,141,485,962,098,606,108,482,856,733,497,675,
230,921,497,775,382,519,640,359,517,335,699,228,151,993,188,909,345,345,985,
243,669,130,136,681,799,356,196,266,048,700,125,257,091,328,976,174,045,826,
809,683,643,420,714,047,757,334,043,311,832,624,997,990,273,012,711,822,414,
142,254,585,657,619,288,657,201,767,797,095,133,079,151,131,416,175,007,566,
337,478,669,386,734,506,367,544,678,494,428,234,450,674,398,405,408,384,914,
840,821,400,015,034,185,000,443,454,490,968,918,565,271,337,838,920,371,913,
918,145,508,235,851,917,254,325,396,124,032,066,129,671,501,839,561,962,904,
841,026,937,834,086,382,341,746,213,931,067,253,822,654,218,369,338,884,375,
190,397,585,158,758,570,031,480,797,677,158,972,033,855,989,880,272,659,464,
886,546,359,136,180,232,541,633,789,822,180,242,980,428,706,482,905,178,991,
497,269,256,413,317,314,882,477,839,700,942,135,612,273,768,677,000,612,163,
704,682,764,388,348,582,952,386,967,808,239,545,884,699,269,423,787,875,319,
361,910,012,151,436,677,064,966,856,866,504,295,822,145,639,416,574,470,775,
553,426,448,430,725,025,035,141,105,080,700,164,665,157,014,192,732,391,121,
824,522,846,560,713,620,425,369,655,853,573,992,571,608,186,454,022,570,337,
500,343,778,290,172,434,035,084,099,936,177,812,531,197,122,272,770,085,747,
871,232,624,212,007,894,073,398,114,219,593,917,795,356,637,083,540,066,606,
926,539,322,428,875,934,704,760,104,725,834,333,255,317,181,989,955,102,165,
525,357,697,341,392,660,956,681,389,957,250,628,963,313,397,129,556,985,477,
276,399,639,549,396,373,438,366,131,909,693,461,073,461,938,075,053,260,246,
920,690,639,622,528,147,888,520,452,260,762,868,584,698,034,485,374,488,250,
265,900,852,696,254,174,457,479,602,671,838,163,822,011,874,605,559,800,423,
937,411,097,474,335,260,356,776,477,741,935,827,679,911,273,290,371,355,710,
579,096,589,710,444,525,974,004,445,089,930,629,510,555,639,358,898,680,885,
380,185,743,852,810,638,768,838,327,732,431,836,714,637,478,937,570,756,532,
082,943,205,818,929,100,356,907,884,667,716,011,006,999,757,296,010,095,322,
244,998,402,285,735,217,064,012,311,689,705,384,565,665,718,501,427,785,263,
174,790,650,115,585,025,750,046,996,894,730,091,246,055,468,952,925,798,734,
971,788,711,343,970,171,956,397,084,374,665,461,826,373,841,156,944,879,016,
108,552,031,431,800,167,984,969,482,089,766,142,639,175,030,662,621,337,413,
117,217,512,140,123,492,628,620,424,463,515,260,493,385,254,874,523,792,983,
405,011,108,295,895,383,581,785,482,779,770,017,254,526,345,877,183,351,112,
890,860,353,893,760,408,834,783,845,465,618,296,487,505,146,662,580,707,114,
546,318,592,275,616,947,532,698,839,134,919,822,400,481,554,372,839,759,367,
427,891,149,331,330,454,102,285,272,902,072,509,676,388,885,107,622,734,073,
586,416,747,703,387,344,325,576,984,157,125,015,383,065,843,014,569,328,199,
868,871,811,684,141,678,761,838,938,304,478,180,578,909,150,265,853,405,069,
556,201,480,210,270,188,739,595,031,495,185,070,329,683,267,167,670,996,704,
388,201,195,404,617,697,031,903,304,626,222,354,790,262,247,774,491,075,782,
012,347,942,823,233,567,636,286,301,360,667,968,811,528,172,337,638,369,796,
593,329,804,612,535,971,751,773,873,474,990,245,778,158,798,348,980,197,424,
094,383,048,204,344,920,226,983,513,967,489,419,313,556,366,008,183,546,949,
950,271,436,189,890,753,372,188,632,163,921,875,233,412,208,183,352,478,850,
367,680,055,492,109,337,358,769,565,401,602,849,484,671,497,585,720,920,398,
234,627,684,655,035,237,411,460,982,819,497,112,963,324,792,081,202,151,606,
109,050,006,895,229,696,514,527,723,876,296,728,365,247,989,657,234,458,361,
051,075,337,049,581,533,244,441,892,648,431,404,092,948,917,223,591,426,747,
679,876,839,795,164,175,741,780,356,315,322,908,069,546,854,369,133,016,398,
275,012,252,884,174,443,832,404,340,249,476,560,697,844,963,129,150,272,725,
180,486,949,005,191,974,269,879,814,572,811,093,766,125,440,176,004,253,799,
290,197,469,400,944,989,372,010,755,598,174,002,976,732,268,923,691,934,066,
412,995,742,733,211,953,394,341,375,087,085,981,913,192,792,372,165,355,127,
958,672,511,272,966,188,492,043,050,682,932,912,150,183,888,507,628,533,709,
267,172,047,694,181,826,723,328,628,770,675,520,385,869,678,485,598,792,532,
894,366,875,319,073,630,582,536,325,512,627,616,709,420,999,137,120,315,177,
615,909,387,874,937,783,784,092,334,668,870,804,705,027,536,321,423,993,720,
658,999,525,168,116,575,900,347,577,604,857,187,630,207,303,340,573,362,453,
246,640,239,870,658,116,349,253,539,975,450,975,141,590,666,719,307,360,436,
480,085,736,789,677,330,660,344,922,926,467,715,651,388,949,683,229,883,190,
022,318,430,047,765,227,523,265,258,068,070,370,992,422,842,398,867,404,930,
346,362,909,888,840,435,189,054,281,784,490,484,124,499,684,385,700,204,536,
642,436,062,928,965,822,364,194,965,511,865,623,023,618,602,020,503,703,111,
122,105,721,661,599,601,949,650,904,898,227,761,848,780,705,239,650,711,232,
852,427,528,547,949,263,669,669,600,244,577,146,065,419,967,299,403,247,066,
484,908,060,489,446,852,769,062,526,088,214,638,267,713,197,267,779,697,661,
916,811,352,604,011,443,720,944,759,433,607,193,989,421,470,076,950,504,660,
731,748,681,401,705,213,768,767,480,404,483,517,572,064,134,563,466,867,143,
830,941,597,031,561,404,787,767,094,393,904,676,651,125,039,864,016,005,982,
938,045,468,583,568,329,999,069,798,862,681,367,089,569,382,051,944,567,516,
913,215,921,693,763,780,889,074,081,328,123,077,525,943,981,859,941,195,138,
466,804,632,115,318,664,416,177,962,350,609,289,370,669,054,225,087,688,020,
879,884,586,881,833,176,158,017,414,830,594,401,851,636,136,633,195,613,611,
546,402,926,521,749,047,523,607,072,026,401,841,743,982,040,229,315,540,166,
783,485,735,884,073,946,508,763,669,468,211,630,305,629,531,321,416,371,915,
352,905,733,789,481,985,999,370,751,538,859,300,220,608,434,341,604,111,902,
279,256,943,620,927,545,900,166,792,007,593,635,943,090,785,521,689,626,958,
348,990,840,355,931,042,648,950,307,089,365,635,889,143,047,713,933,933,915,
179,470,518,298,099,011,876,724,030,326,430,307,110,433,801,353,848,561,336,
515,635,943,079,632,558,447,128,791,785,272,862,249,528,577,162,591,305,762,
083,048,247,791,197,858,048,932,215,744,543,277,854,786,699,147,973,740,284,
461,360,102,544,460,874,713,097,411,331,246,820,222,705,155,064,439,577,273,
872,915,504,859,503,603,950,951,565,157,175,299,790,551,439,141,064,281,598,
949,693,579,418,379,787,519,383,952,040,860,599,066,691,698,995,997,075,746,
481,575,112,265,404,154,201,116,284,590,539,534,964,744,169,915,919,323,281,
850,929,060,522,477,450,435,608,533,808,794,706,090,044,454,702,470,922,424,
645,949,053,615,564,421,126,866,151,254,066,259,074,080,957,897,459,115,566,
618,568,630,934,424,957,250,089,031,553,364,717,860,718,915,201,100,461,445,
175,413,661,153,184,516,859,761,813,751,097,643,254,808,434,554,585,377,349,
248,572,256,112,830,318,876,143,555,832,284,597,855,725,788,149,914,751,491,
726,767,610,098,830,642,567,360,568,928,210,324,500,180,828,908,674,005,106,
405,449,850,952,787,879,062,684,379,962,105,025,224,964,458,632,912,046,752,
552,087,755,180,553,330,111,370,060,540,949,439,849,335,039,666,913,879,148,
581,588,656,622,048,812,328,621,963,151,053,788,333,515,657,177,952,463,512,
441,982,081,854,160,750,788,232,246,711,626,049,768,979,415,265,438,361,175,
555,068,575,036,899,689,857,642,550,278,839,497,814,278,241,175,328,640,153,
461,975,958,758,849,581,649,054,313,648,075,929,366,631,129,186,046,982,240,
750,054,101,856,540,418,584,755,229,844,232,050,534,007,051,083,384,957,965,
364,214,362,539,572,143,066,912,115,968,668,325,605,316,262,758,030,832,167,
640,923,540,081,775,976,860,599,818,235,255,713,694,696,301,165,706,685,460,
317,568,442,777,453,222,194,848,729,595,103,020,671,539,135,779,773,885,358,
324,549,409,141,051,232,857,486,484,880,441,856,451,181,709,405,212,322,044,
090,209,057,546,043,524,226,232,623,425,627,831,220,364,248,353,222,435,562,
856,931,016,492,499,480,239,683,967,360,992,408,403,991,251,921,125,121,131,
072,423,540,038,339,674,227,955,788,113,123,076,409,071,412,666,093,472,131,
685,353,286,648,152,220,312,347,108,716,990,850,765,280,294,698,199,240,805,
616,858,725,547,995,205,622,205,826,672,614,761,031,387,226,468,474,601,214,
385,173,910,770,969,405,708,875,111,619,949,341,079,864,332,949,175,383,287,
033,196,288,557,145,202,339,605,058,490,618,246,645,143,424,357,909,896,170,
773,449,839,174,453,297,868,530,349,194,935,334,224,809,017,119,798,326,940,
230,741,329,860,564,980,254,966,246,182,370,497,593,835,701,051,298,848,199,
808,526,743,564,261,360,334,888,884,213,266,188,504,692,968,831,766,917,221,
550,240,433,621,802,265,036,481,592,375,566,401,691,951,939,115,826,470,264,
699,517,345,719,754,476,968,458,118,859,650,723,491,855,209,698,783,550,302,
506,024,937,975,262,221,313,383,111,993,696,928,843,248,368,322,213,439,238,
539,625,456,246,389,691,862,467,563,194,535,760,059,035,704,719,828,394,127,
274,821,227,518,099,651,525,330,168,950,607,716,144,456,959,723,322,345,554,
636,832,511,902,314,472,578,222,489,516,596,951,695,751,474,790,538,352,134,
442,078,289,769,416,152,395,669,399,484,457,410,382,583,164,107,080,848,850,
296,997,805,950,033,724,054,949,332,033,095,161,541,880,632,761,119,810,524,
886,087,967,930,370,936,798,217,586,430,456,902,143,974,119,282,334,196,185,
145,185,609,631,535,282,711,332,004,933,313,245,283,152,455,986,300,851,755,
935,126,055,605,263,097,430,171,189,537,428,068,441,330,603,261,831,081,169,
579,720,368,289,498,952,538,965,598,220,028,646,312,839,617,970,948,796,593,
368,893,297,050,127,537,636,189,068,342,505,851,000,455,446,065,802,827,578,
360,446,851,214,059,695,987,757,719,656,179,574,206,498,835,060,380,832,090,
323,987,397,480,461,141,581,484,796,964,423,046,489,789,808,625,150,149,767,
787,535,319,817,283,657,758,606,491,135,611,685,481,647,728,233,467,158,475,
150,010,341,753,812,031,107,652,513,731,562,795,276,450,635,796,773,268,912,
778,851,171,497,626,160,093,419,431,900,842,326,313,879,000,586,182,922,929,
644,553,851,001,666,303,213,081,552,836,525,311,906,474,970,069,382,416,769,
376,685,464,527,050,989,181,930,805,655,735,446,162,364,348,974,137,855,316,
723,144,293,265,297,446,224,951,955,922,305,248,355,501,928,073,691,689,219,
306,014,261,869,412,889,291,744,059,429,854,372,937,529,512,182,716,760,241,
871,166,119,652,382,143,820,403,923,048,640,396,102,219,366,551,605,370,093,
477,348,731,557,906,072,568,719,599,889,956,992,766,580,848,943,258,939,924,
011,096,310,139,007,805,694,002,345,951,225,786,898,629,236,292,183,998,242,
742,917,691,336,821,841,005,728,225,799,070,859,289,231,692,444,411,259,294,
989,585,937,346,041,079,447,787,880,277,981,849,304,689,990,894,023,488,690,
805,515,645,086,159,789,575,567,357,246,579,865,660,598,438,121,916,411,498,
347,393,370,132,014,028,936,944,508,066,323,734,418,306,757,162,111,052,255,
240,352,561,971,801,893,737,799,123,757,592,000,102,081,419,826,932,511,276,
193,495,511,527,623,837,699,052,386,275,369,533,701,228,603,010,167,764,178,
564,710,204,405,707,215,228,870,343,927,176,266,247,844,823,380,178,135,852,
253,410,312,682,207,883,127,000,753,254,178,875,379,167,089,402,393,458,133,
795,957,533,971,854,519,665,005,105,992,397,339,820,074,233,053,060,419,481,
531,934,852,419,041,225,408,845,189,274,152,985,649,689,350,593,809,946,811,
014,092,365,093,319,320,553,114,983,890,373,426,756,629,697,355,888,679,999,
826,876,987,262,094,100,688,189,064,820,953,158,472,806,348,523,494,662,064,
495,816,586,579,298,684,070,741,077,670,767,630,429,086,211,233,092,180,895,
134,368,637,293,507,032,917,951,224,966,026,588,106,750,456,910,193,146,666,
017,741,281,093,768,374,590,814,228,322,584,667,381,976,403,914,684,698,096,
858,072,966,807,717,988,144,448,427,281,960,165,214,470,360,303,591,562,488,
499,163,094,545,864,029,393,191,868,470,778,708,772,044,421,977,449,480,231,
018,000,804,516,517,132,638,290,332,219,630,988,138,255,798,991,135,770,332,
583,111,422,157,811,296,321,569,257,672,509,137,038,825,771,287,938,871,953,
009,621,004,313,892,820,846,744,629,987,724,369,255,970,403,540,342,392,857,
500,940,733,932,781,520,906,837,468,052,099,518,755,750,172,781,319,675,068,
584,680,596,814,097,811,050,443,482,995,527,143,908,376,178,084,741,329,658,
737,192,630,392,376,358,626,974,291,615,390,983,491,786,662,797,291,379,080,
536,952,036,089,225,911,254,204,440,255,753,586,637,883,016,428,591,157,130,
888,261,413,477,146,617,583,249,416,709,698,519,284,652,538,671,824,615,225,
595,714,049,998,392,873,577,220,524,293,146,544,484,270,812,027,329,481,821,
986,774,147,828,277,918,730,147,278,986,458,645,759,257,433,655,838,407,248,
158,844,774,664,855,935,222,385,644,567,603,151,923,346,151,343,588,006,149,
497,881,356,984,263,984,659,881,196,551,643,122,011,799,548,405,264,227,556,
236,048,509,986,488,449,874,325,613,725,105,728,637,160,913,403,550,889,687,
845,323,191,139,554,627,431,950,129,282,764,811,704,516,146,426,460,353,674,
938,241,570,022,101,720,710,591,233,915,302,313,734,649,770,490,856,342,217,
022,354,878,950,854,771,537,193,023,963,191,516,354,117,263,426,230,092,130,
712,789,754,107,798,690,553,324,792,436,200,044,909,539,624,125,556,452,071,
255,559,368,305,272,829,938,882,867,709,857,946,337,501,989,878,976,493,415,
466,339,252,496,164,428,233,553,842,786,372,154,786,111,110,857,669,947,031,
846,790,599,622,048,307,365,694,840,378,521,953,121,081,232,728,994,175,555,
853,143,218,950,250,315,589,561,960,993,133,862,746,559,519,961,360,584,598,
258,901,630,420,264,461,410,070,655,244,338,908,175,872,291,633,165,486,641,
599,510,560,499,647,426,464,058,617,202,031,316,742,579,211,868,158,890,079,
040,495,909,286,387,792,733,270,711,306,748,581,269,487,809,568,010,523,237,
677,101,116,283,406,746,371,197,986,327,813,430,774,683,018,901,661,652,795,
770,454,692,214,869,733,666,610,023,042,129,411,285,987,243,639,442,129,642,
403,809,091,120,957,213,206,292,407,483,405,192,669,641,419,878,941,890,562,
141,942,573,193,813,362,937,995,751,247,279,786,145,718,030,639,600,796,460,
241,079,917,270,339,339,157,905,296,355,566,199,814,515,076,221,387,879,947,
361,726,264,494,490,781,169,485,395,973,372,673,441,936,256,773,216,898,598,
904,936,474,276,814,213,915,744,775,843,595,236,602,458,873,539,884,081,229,
835,198,325,230,607,207,073,577,739,363,423,621,954,260,408,370,441,976,530,
230,104,902,960,725,402,544,840,367,369,865,933,763,837,356,398,023,670,140,
188,944,117,680,822,381,836,047,853,027,829,081,865,639,553,891,628,712,572,
235,622,493,996,438,787,001,309,404,099,473,066,779,647,595,672,836,109,574,
238,531,162,106,632,418,073,833,796,663,514,917,590,796,731,336,900,600,410,
490,730,836,461,111,596,063,762,969,451,298,566,955,577,199,554,789,536,688,
607,116,756,564,265,686,537,079,072,814,802,432,810,047,415,134,577,670,217,
728,840,356,250,956,096,783,060,501,008,858,216,678,431,591,959,600,604,015,
809,311,734,205,710,509,895,828,666,818,840,911,882,950,558,875,525,168,420,
288,493,284,349,574,592,253,920,181,509,075,863,042,475,210,917,477,332,101,
924,211,557,921,520,002,487,753,386,330,622,065,816,596,160,818,847,905,102,
259,569,359,478,276,881,689,019,941,736,772,833,155,717,255,591,590,435,593,
922,330,183,361,274,330,378,288,094,657,299,119,120,290,369,696,668,555,585,
029,679,371,338,135,378,471,447,434,986,293,395,233,189,099,835,055,963,463,
868,124,401,772,640,625,541,396,518,358,460,220,729,007,377,463,567,298,240,
553,338,764,324,434,239,473,998,074,477,463,407,741,931,290,469,791,370,580,
591,070,778,822,060,887,380,514,462,351,545,134,657,358,613,671,030,118,303,
205,326,142,975,841,566,821,990,422,045,527,695,534,676,746,086,086,528,031,
405,008,093,375,264,440,660,918,466,938,057,314,689,702,178,598,226,254,190,
317,654,073,458,026,116,435,203,481,328,259,880,746,107,616,974,913,526,692,
592,714,580,418,549,295,840,481,580,272,261,680,839,885,656,058,589,790,478,
921,498,776,497,523,280,390,070,488,640,435,605,295,900,113,753,807,502,118,
056,973,338,056,054,324,549,350,836,787,843,526,825,687,259,021,002,717,232,
805,555,553,437,068,386,384,672,386,706,711,953,804,477,111,150,448,524,778,
397,590,334,351,141,936,442,752,211,626,949,411,854,467,886,049,877,624,597,
597,231,179,970,982,943,429,184,445,696,177,978,673,608,136,045,764,779,555,
433,292,248,383,410,753,694,487,498,968,698,174,772,806,722,574,072,117,577,
506,382,051,264,013,691,515,052,482,017,068,181,192,784,532,693,203,114,336,
987,499,597,917,843,201,638,938,983,467,044,759,201,587,231,487,321,707,331,
182,857,800,666,347,436,164,682,462,448,116,116,015,401,660,599,524,600,438,
964,399,165,799,137,254,978,500,163,203,639,449,060,996,056,603,372,445,299,
576,947,341,428,926,218,036,181,408,738,412,626,804,404,239,586,340,845,759,
192,123,727,670,268,891,025,029,181,569,155,417,709,430,726,376,623,917,194,
017,976,053,392,948,955,705,550,960,704,926,817,100,865,526,893,392,869,240,
335,919,553,572,418,414,787,151,386,780,598,244,524,200,496,258,180,785,684,
473,587,466,422,778,964,747,756,928,318,584,254,860,472,933,645,773,972,391,
677,252,770,033,694,139,482,366,423,331,162,202,760,610,295,314,884,812,377,
035,868,336,070,362,386,307,272,015,178,795,217,681,490,599,726,275,773,123,
744,551,222,706,595,083,300,865,698,293,586,896,937,386,600,661,371,002,482,
403,158,968,226,790,860,667,394,010,846,835,435,720,964,800,337,323,838,795,
021,693,022,888,160,956,920,868,661,354,690,905,345,173,106,240,532,844,594,
132,906,294,773,373,288,335,834,123,866,265,751,464,408,472,411,538,746,427,
107,195,838,390,618,069,665,100,417,602,326,077,217,876,068,986,405,907,508,
684,878,446,350,947,438,862,232,753,180,734,514,248,341,935,624,409,458,823,
151,102,910,070,987,091,780,205,409,648,326,861,168,006,449,377,443,042,638,
903,186,141,718,996,577,449,523,942,797,386,003,864,496,719,932,892,613,475,
383,227,563,973,199,199,037,449,121,311,968,318,893,557,649,838,470,848,012,
817,981,812,061,615,375,332,673,239,288,843,450,698,760,304,517,970,563,653,
475,548,574,323,353,041,964,893,748,489,126,740,168,210,512,601,302,361,638,
520,275,031,840,501,464,861,428,879,930,288,088,657,604,841,106,119,315,223,
322,013,655,432,668,596,590,019,337,778,317,168,520,874,488,310,379,853,976,
158,168,034,599,720,506,756,078,474,774,737,453,556,066,893,062,282,723,122,
923,822,386,867,627,279,709,392,116,201,345,235,459,749,877,189,331,921,175,
694,766,389,283,939,470,430,291,444,443,104,274,364,910,509,916,162,838,802,
745,520,742,354,602,041,540,816,578,900,997,697,339,868,908,277,551,531,373,
580,974,833,266,196,897,536,990,453,641,659,957,800,915,764,197,974,547,981,
756,222,774,532,254,979,065,749,399,492,276,958,384,891,481,891,686,944,301,
559,747,425,113,599,948,195,035,484,175,131,615,323,465,814,633,098,825,055,
804,459,806,883,893,271,274,070,085,788,350,836,361,250,098,461,359,050,233,
751,213,961,061,177,819,056,078,220,102,180,673,150,617,102,698,767,268,655,
325,984,302,737,314,284,936,024,564,732,005,263,922,288,683,359,723,351,595,
869,453,764,864,265,989,265,372,664,897,374,324,851,778,399,696,830,265,361,
974,218,145,543,469,297,272,606,805,757,917,739,187,407,068,605,220,618,760,
699,732,741,823,826,235,257,227,469,107,721,555,686,018,715,808,086,157,311,
107,716,082,124,837,210,720,973,859,662,825,319,851,433,693,753,512,257,505,
719,418,727,927,162,076,644,498,414,933,401,456,191,593,971,620,733,307,239,
952,379,500,115,376,712,209,778,022,140,783,810,959,557,251,235,507,473,753,
390,068,898,657,363,920,957,319,020,369,539,862,148,689,916,488,889,482,594,
861,473,289,891,483,221,206,408,322,014,009,837,475,209,812,482,841,582,653,
668,265,199,682,475,703,220,552,179,076,401,335,267,515,489,406,645,347,071,
726,075,489,632,150,680,738,038,240,191,872,187,999,202,127,859,968,218,170,
669,168,558,227,057,907,943,833,333,413,501,814,910,599,761,440,588,236,879,
033,173,238,084,103,625,377,852,262,368,998,141,889,845,011,705,787,543,597,
893,552,872,559,048,610,157,234,041,149,897,633,762,692,747,416,576,507,886,
802,216,619,087,350,239,731,375,421,730,681,974,887,542,501,161,688,668,113,
955,429,003,893,107,732,492,251,156,365,779,521,786,237,615,446,973,041,833,
567,828,480,265,869,659,614,919,910,670,648,768,431,573,516,797,481,734,765,
091,480,297,658,755,114,911,868,972,846,767,360,731,124,043,138,402,974,400,
760,150,596,117,953,160,073,911,208,561,414,766,178,539,120,863,899,208,204,
575,494,702,435,558,177,564,389,826,182,499,501,913,917,121,762,324,007,014,
244,392,528,154,650,723,124,362,337,501,911,236,928,898,925,753,033,521,403,
256,279,994,149,207,904,555,822,207,769,383,586,741,622,918,686,680,143,781,
604,908,390,719,104,176,102,958,831,926,781,057,657,733,087,793,471,700,463,
717,447,067,590,027,546,331,697,835,863,550,133,621,467,993,121,238,707,879,
691,333,940,790,736,681,289,210,581,941,237,066,140,541,318,037,352,958,220,
192,722,231,221,219,861,113,556,102,861,213,765,455,870,272,074,880,069,429,
835,979,818,466,593,013,036,165,202,875,337,386,914,308,435,301,841,297,404,
912,816,247,711,721,887,245,134,796,148,976,235,587,358,118,806,088,710,308,
507,735,014,866,119,483,683,189,909,261,973,338,806,548,487,646,461,662,159,
449,368,732,041,868,358,568,716,952,232,959,810,735,829,455,798,978,960,820,
041,041,017,997,143,890,828,094,606,214,043,290,434,844,704,580,453,609,706,
731,023,664,911,469,894,926,020,982,829,707,256,934,351,611,826,937,233,234,
147,292,237,132,436,688,414,070,279,451,931,866,923,630,816,056,427,341,230,
860,292,217,723,437,004,843,531,056,246,012,461,335,924,189,232,132,247,499,
591,297,221,778,675,866,375,158,207,566,839,586,062,178,963,671,556,011,443,
222,443,818,634,994,039,703,743,602,518,768,458,729,560,285,030,208,547,129,
616,254,489,955,595,713,226,586,302,549,447,454,222,520,897,081,928,944,405,
620,045,466,797,824,503,900,350,365,710,945,678,282,637,569,290,557,721,838,
135,685,508,190,607,702,529,359,334,992,089,742,034,659,951,074,657,062,326,
079,221,395,511,706,726,767,720,893,183,241,933,885,096,481,259,589,017,677,
351,975,228,198,735,080,384,923,207,682,726,383,612,069,867,227,498,239,966,
260,231,964,608,947,091,751,598,103,018,184,088,496,026,449,255,616,950,460,
195,820,016,218,717,791,280,509,946,771,030,462,507,944,499,996,086,992,820,
818,584,590,906,248,592,461,801,776,888,883,834,943,287,517,973,151,054,204,
361,111,889,725,772,816,414,890,229,563,889,875,530,749,017,532,492,715,007,
416,108,971,922,665,818,314,008,740,456,830,255,344,355,119,021,203,165,022,
941,529,417,766,002,608,558,762,548,827,016,532,308,980,828,509,104,769,323,
222,677,183,244,210,730,874,562,474,860,414,974,816,964,730,858,390,990,125,
814,558,717,091,987,729,564,898,735,422,612,673,333,026,148,893,019,888,479,
252,424,747,851,841,437,090,060,300,658,631,208,225,411,406,284,895,805,182,
821,910,687,712,428,723,524,960,168,632,786,701,951,897,129,169,226,683,550,
559,546,306,080,436,329,802,894,704,023,355,801,644,652,226,619,686,648,939,
639,693,484,277,296,177,177,349,000,952,568,325,977,029,636,995,916,960,587,
819,628,788,784,402,810,005,585,595,000,817,922,223,568,115,710,646,069,217,
804,928,049,577,291,404,292,511,036,578,935,450,553,133,326,133,628,650,997,
712,178,240,125,760,587,874,282,508,073,917,000,642,293,001,690,801,361,755,
459,511,402,164,465,793,246,775,147,459,455,939,576,657,633,689,723,524,822,
471,032,585,090,695,391,986,238,413,145,915,371,045,142,856,807,467,596,429,
078,793,002,795,761,170,103,346,473,586,356,363,923,608,847,301,934,736,322,
553,715,134,780,117,432,280,720,063,562,152,600,302,229,347,271,049,873,771,
946,015,030,239,624,118,886,250,857,646,208,422,390,603,433,621,747,795,343,
116,278,082,244,633,932,310,031,333,346,024,243,790,842,680,168,975,174,001,
931,776,383,380,367,147,985,623,716,551,809,199,147,772,764,991,444,672,253,
620,958,251,906,529,869,539,336,236,644,014,340,082,345,076,655,300,033,421,
646,096,474,954,219,018,693,752,585,767,052,950,946,776,384,353,124,455,543,
081,766,150,762,733,145,731,426,433,986,078,753,855,050,029,781,885,181,093,
389,292,180,086,309,099,610,988,980,224,133,480,919,944,055,311,689,923,928,
469,144,928,786,198,802,999,172,636,851,829,109,308,551,836,084,130,382,974,
957,527,358,135,717,437,914,447,544,948,591,821,124,190,326,060,783,548,397,
875,343,982,550,233,283,555,813,336,817,772,124,959,458,078,295,093,504,327,
602,183,572,151,255,299,676,494,639,554,771,271,547,841,122,151,609,208,863,
591,626,756,221,393,676,574,890,974,751,050,748,285,606,580,100,845,081,926,
826,361,306,119,484,785,082,783,597,884,567,316,557,621,499,353,815,807,018,
227,820,366,681,764,550,396,787,824,620,768,082,121,367,921,547,626,391,446,
768,615,483,660,750,649,611,778,691,129,319,348,020,976,906,867,809,453,896,
819,445,981,331,290,986,524,444,424,837,018,967,657,616,189,776,122,655,646,
837,511,985,926,212,951,885,924,430,808,619,376,514,786,277,401,557,558,259,
730,590,785,627,717,954,345,851,361,853,481,826,320,202,632,040,988,903,841,
540,651,575,087,556,466,081,861,233,801,273,381,667,924,816,779,258,114,809,
164,872,452,084,319,852,122,096,019,428,540,618,912,453,820,226,464,601,226,
047,351,632,935,886,762,837,282,942,672,514,830,741,052,242,240,223,123,516,
241,473,580,337,776,774,137,267,167,130,573,768,285,731,166,122,845,027,021,
055,377,296,640,490,265,742,308,043,718,049,325,979,572,158,577,935,681,067,
795,866,130,144,469,296,447,575,945,389,577,313,760,796,873,704,596,047,610,
302,723,810,204,321,273,737,147,556,383,113,206,731,590,391,696,139,311,044,
149,862,721,349,476,758,974,043,584,530,268,365,164,257,662,340,836,205,054,
992,587,146,523,891,949,741,788,420,092,414,561,775,429,524,181,062,594,438,
865,614,094,562,725,653,633,019,790,736,856,623,683,726,553,214,809,278,928,
480,432,675,753,756,873,298,598,670,030,806,414,390,970,153,128,724,962,503,
832,640,614,337,624,501,217,897,153,561,744,883,775,973,411,805,334,241,759,
177,092,594,087,406,905,714,403,149,115,945,714,687,523,977,336,438,419,892,
270,558,833,836,248,214,669,755,272,329,736,021,546,573,515,326,427,121,189,
265,942,188,777,299,599,289,927,091,693,721,256,976,933,549,363,427,485,785,
655,393,658,434,767,665,545,441,444,934,781,196,173,169,512,808,461,449,781,
410,236,846,171,014,716,334,999,255,232,088,789,294,951,669,404,330,773,928,
160,016,232,213,374,980,694,477,441,168,851,539,801,490,492,745,751,419,242,
902,472,918,883,893,789,003,101,442,137,904,050,765,638,473,268,982,897,560,
098,895,025,786,672,115,078,027,004,766,386,779,847,792,787,520,100,876,856,
740,204,173,586,944,382,126,409,808,105,749,803,585,553,185,105,568,874,197,
567,987,830,161,803,465,457,781,414,247,496,962,257,831,016,131,709,758,735,
051,948,767,383,912,887,084,545,843,636,982,166,379,613,819,232,037,305,228,
346,940,294,882,535,360,461,860,925,536,941,563,005,266,259,109,640,591,354,
443,901,512,036,684,889,399,520,727,093,382,205,530,637,058,040,545,253,794,
772,968,588,591,602,641,117,328,308,534,596,068,184,875,844,263,241,832,843,
597,448,818,473,840,810,008,333,308,038,408,622,070,596,376,300,561,889,806,
469,725,650,332,498,389,727,969,442,380,885,631,817,610,425,861,159,794,612,
654,458,543,183,406,760,922,436,820,862,658,247,268,434,155,212,798,983,056,
262,912,875,958,463,213,888,562,769,521,150,793,642,447,959,635,950,911,677,
732,830,466,861,979,953,624,621,135,349,522,014,089,961,332,668,215,215,039,
775,867,261,475,684,482,131,327,361,315,730,157,908,194,836,127,952,188,432,
001,964,560,640,719,878,057,808,985,075,184,639,888,422,892,890,790,625,769,
049,622,099,969,620,128,155,826,880,089,350,182,116,722,974,625,962,211,647,
971,750,627,683,430,396,539,758,132,741,735,143,917,303,388,439,999,097,986,
772,554,245,177,552,046,065,827,838,582,939,530,355,968,940,501,067,301,497,
387,085,536,459,897,000,072,161,266,003,040,830,819,720,802,456,063,536,788,
325,512,259,100,490,007,092,108,153,875,153,792,030,192,261,570,301,195,587,
852,238,107,597,351,796,202,540,816,082,171,788,546,939,994,433,920,882,683,
471,383,557,999,195,252,096,474,983,123,510,250,028,184,925,024,229,587,048,
463,329,310,909,958,904,232,366,720,697,039,056,070,756,593,857,151,078,572,
608,552,043,919,560,189,499,347,981,123,978,825,534,831,675,905,604,807,718,
163,818,886,681,669,937,987,964,590,317,686,359,294,093,964,826,109,377,507,
511,371,502,066,632,546,223,092,290,169,123,101,230,639,998,514,686,230,087,
977,698,402,575,823,087,308,124,735,967,426,683,799,122,713,206,685,932,451,
393,850,348,073,655,794,163,311,361,362,258,986,189,433,458,891,388,626,699,
078,494,826,846,102,939,248,715,948,458,462,143,245,047,750,826,086,774,293,
874,370,942,248,862,895,767,782,771,602,416,418,617,059,975,122,833,117,217,
509,077,744,634,612,501,842,792,020,742,812,053,786,293,592,081,644,988,765,
099,764,404,024,245,595,707,551,442,089,628,556,484,573,221,039,710,755,894,
893,180,084,826,255,984,197,537,591,340,414,708,405,758,660,499,784,565,129,
808,408,317,695,741,783,914,950,487,522,016,673,314,943,885,342,224,614,837,
466,276,578,454,618,927,349,440,419,675,150,666,549,208,022,897,078,528,790,
752,249,892,942,272,690,575,186,638,555,561,098,437,177,350,133,353,867,907,
769,205,437,096,305,817,723,467,242,266,939,886,269,545,401,094,345,784,893,
174,967,786,544,469,074,319,426,715,286,157,026,489,944,440,826,729,747,313,
599,678,423,992,470,654,216,124,180,233,620,054,351,408,569,437,709,688,205,
521,336,120,019,885,338,411,361,904,846,340,255,751,127,529,626,102,503,125,
932,929,075,120,343,083,307,745,326,132,080,479,051,562,041,931,374,153,127,
243,744,306,022,053,258,711,658,018,252,340,805,503,525,586,028,216,760,677,
844,614,470,685,967,414,033,587,635,357,030,061,951,939,922,620,475,809,837,
291,312,315,810,819,872,002,545,311,963,140,050,340,552,811,540,490,705,841,
391,578,775,369,852,176,081,664,118,389,169,958,137,938,969,363,597,684,895,
117,180,209,724,854,144,972,676,190,883,782,008,435,388,921,563,663,979,736,
569,403,624,200,294,083,822,893,740,612,410,227,179,166,933,659,069,472,877,
181,656,026,768,254,662,170,476,187,723,868,002,064,771,534,280,702,144,444,
866,936,817,751,856,517,037,760,256,166,292,685,367,436,992,913,335,445,948,
262,699,148,771,489,201,023,287,202,853,604,233,705,879,886,876,115,121,568,
652,236,229,633,829,744,314,932,764,115,867,959,288,087,725,371,411,362,813,
408,272,340,936,085,911,261,257,433,721,661,591,746,614,369,298,183,311,262,
861,964,232,053,763,995,553,750,189,029,051,290,605,045,065,282,362,588,361,
300,153,641,501,804,894,079,269,726,063,214,607,139,187,176,150,494,739,564,
609,100,880,438,947,249,038,982,307,950,606,182,724,385,671,193,519,614,644,
109,457,396,250,549,908,795,884,831,249,141,682,769,308,394,176,314,795,669,
544,843,631,116,018,266,865,938,199,943,012,443,809,694,745,191,940,942,897,
077,656,060,105,985,193,248,650,056,912,223,231,561,959,483,294,745,881,362,
774,466,946,975,839,106,254,169,795,082,475,044,215,360,931,506,033,956,345,
623,038,495,268,567,628,791,380,203,028,132,193,971,026,591,599,033,857,941,
292,235,163,500,098,822,327,144,820,848,878,855,094,401,886,607,303,770,379,
901,005,368,296,969,294,375,049,594,029,168,059,251,096,743,131,419,101,106,
314,898,388,463,094,426,298,369,912,954,931,164,000,031,179,812,750,198,430,
078,388,050,070,002,779,302,485,670,621,248,330,190,584,357,261,450,570,269,
880,812,622,223,965,347,658,599,332,385,431,936,756,397,227,486,472,081,991,
799,627,411,632,969,242,568,957,214,935,918,968,626,476,398,935,877,067,273,
308,986,500,876,473,650,299,294,519,454,259,226,704,273,195,986,598,730,310,
388,797,156,788,087,632,332,309,558,265,260,547,779,395,677,909,643,146,931,
228,819,796,032,047,774,689,491,876,077,861,144,318,068,082,561,329,951,299,
020,177,043,158,702,092,062,488,826,314,892,357,761,694,027,402,621,524,598,
555,277,619,856,932,309,129,446,324,680,419,652,153,298,839,949,042,267,564,
460,607,643,041,147,843,631,638,134,561,962,687,471,683,404,433,525,379,957,
947,642,677,613,290,986,369,722,615,472,733,008,523,829,633,765,434,095,382,
112,012,054,498,861,226,659,151,764,591,446,921,120,266,874,313,113,604,517,
141,919,514,642,468,778,192,881,585,654,937,941,536,456,913,159,315,515,386,
632,744,849,705,575,936,046,768,499,352,747,542,655,751,345,449,277,317,081,
759,175,230,817,420,506,087,891,800,242,816,482,435,391,534,451,998,525,057,
525,049,370,899,148,047,800,813,881,017,499,392,708,253,874,734,207,895,286,
285,664,517,366,639,987,715,816,198,234,336,672,098,439,038,320,902,308,082,
958,179,331,727,921,122,696,972,401,156,716,248,989,878,383,364,594,860,530,
485,884,215,814,635,054,248,731,063,531,855,703,454,859,944,221,198,067,740,
751,285,337,528,769,655,546,933,970,412,586,662,105,035,543,313,741,799,271,
563,992,031,830,381,761,465,052,771,043,433,181,785,621,036,459,104,531,995,
998,290,650,147,319,819,740,940,128,898,157,704,541,146,924,907,844,259,717,
896,400,233,583,745,579,241,131,261,810,578,923,267,223,444,283,317,058,255,
839,380,509,542,144,776,912,749,182,643,535,563,150,626,546,392,901,768,743,
850,958,922,969,550,629,498,114,725,381,961,545,044,615,442,663,738,164,388,
214,640,358,492,978,006,587,539,606,362,656,555,963,780,126,462,909,837,662,
200,601,285,368,568,054,159,659,615,472,642,251,366,997,947,972,235,045,872,
425,188,068,900,156,775,066,128,322,842,349,621,609,309,228,931,475,427,355,
389,961,911,702,150,385,450,058,285,597,576,373,583,848,363,914,595,582,840,
154,370,915,286,310,884,099,409,727,243,730,859,684,239,984,252,496,703,584,
246,023,578,444,296,538,380,185,950,801,339,829,376,545,009,348,703,811,497,
542,111,049,106,880,876,475,031,617,501,522,849,770,618,143,696,399,614,472,
562,972,625,766,614,813,567,785,465,190,612,543,982,263,833,276,174,245,425,
570,721,793,694,236,155,784,326,468,968,937,581,961,209,944,845,956,399,742,
103,696,537,336,958,419,048,015,713,986,588,182,777,784,859,769,477,613,264,
725,913,996,896,105,874,017,604,529,400,396,611,974,541,435,001,238,049,192,
432,575,289,109,486,898,888,409,053,013,751,143,843,909,982,740,942,822,543,
672,288,592,684,362,928,856,955,936,935,967,780,414,135,619,717,382,544,819,
230,798,072,418,448,459,945,716,753,919,994,651,976,448,117,688,026,135,044,
076,672,574,655,730,690,908,132,983,047,798,560,784,552,269,664,377,236,699,
900,665,270,992,466,503,108,071,667,834,471,511,820,375,263,244,402,842,122,
636,374,267,997,224,703,115,752,892,364,416,998,720,822,603,490,526,980,243,
886,199,917,275,953,037,610,073,322,469,262,423,719,510,404,448,621,505,561,
945,494,992,803,883,427,566,503,527,551,490,796,901,704,897,137,960,697,135,
321,680,166,871,149,671,969,054,628,617,611,627,539,821,485,875,045,542,914,
307,482,587,286,727,379,447,687,529,480,640,390,187,442,658,745,812,779,668,
850,997,339,776,451,841,446,013,686,580,110,196,125,160,502,833,619,105,546,
772,583,900,949,396,218,846,748,829,026,099,999,446,635,224,075,448,480,980,
414,513,051,720,264,780,389,166,047,035,378,261,397,727,126,184,705,664,170,
102,367,471,349,920,107,321,785,319,998,420,107,507,102,174,150,723,908,238,
165,307,591,155,521,381,649,981,418,758,905,345,215,702,580,108,520,648,753,
772,023,109,864,228,604,386,699,693,334,699,287,324,913,857,019,216,933,030,
283,203,526,705,908,499,229,701,527,748,801,857,237,570,987,683,222,732,339,
636,918,300,603,120,944,705,846,196,316,783,298,412,456,358,164,373,332,882,
579,926,830,907,242,149,259,859,400,816,711,586,102,266,251,499,920,242,043,
031,119,669,198,368,576,030,694,607,513,151,064,771,721,764,211,535,367,791,
119,862,659,157,060,961,251,636,790,880,606,510,514,570,320,775,272,713,078,
656,705,957,071,744,968,569,576,641,287,914,253,676,568,517,949,026,974,053,
482,790,355,854,734,926,397,952,703,069,332,765,690,249,332,799,175,176,902,
913,611,065,390,714,195,016,461,514,931,017,418,416,383,579,150,749,945,966,
424,783,493,749,412,391,558,573,864,726,873,152,901,137,122,873,808,791,742,
331,463,508,131,782,484,730,018,167,383,123,909,227,599,229,447,625,230,388,
458,217,101,762,445,945,861,670,538,307,012,789,222,348,053,702,010,400,205,
354,912,504,093,349,250,588,655,447,369,034,557,629,775,986,993,443,504,004,
301,264,495,788,136,211,328,103,603,378,083,253,908,795,388,191,874,511,556,
615,233,960,646,772,217,113,985,624,360,436,279,297,827,828,653,090,977,490,
314,605,020,035,504,393,017,767,506,613,128,422,881,545,284,381,944,693,970,
399,222,588,406,045,214,553,096,383,886,846,488,838,264,094,089,364,555,495,
695,625,787,263,670,191,739,565,227,800,532,538,357,087,359,198,484,918,374,
396,763,985,234,525,925,451,296,002,254,584,148,960,438,825,670,016,397,427,
530,708,171,016,007,477,996,181,476,194,223,507,754,351,696,532,529,168,801,
853,324,144,068,180,475,131,262,780,464,504,290,835,510,860,536,734,206,264,
220,444,599,033,613,614,766,644,903,927,618,720,708,331,659,757,949,775,500,
772,649,873,374,208,369,244,051,399,379,130,655,834,741,604,902,354,797,152,
670,531,737,120,549,416,248,357,051,621,541,534,424,104,309,403,528,479,806,
621,400,424,684,857,758,885,426,180,384,973,652,497,911,896,117,791,256,862,
916,109,902,452,413,054,057,125,058,960,355,371,922,593,573,898,919,895,799,
464,609,128,519,187,196,626,982,927,246,263,110,836,576,973,567,594,664,497,
987,858,958,764,256,882,577,929,020,923,110,643,596,068,733,053,120,022,421,
537,349,860,869,204,834,606,844,880,736,925,204,102,246,326,450,948,910,371,
893,712,190,377,942,041,096,394,950,724,600,450,240,846,886,867,977,966,496,
619,181,232,078,428,137,928,083,102,960,446,747,896,590,076,611,658,114,781,
125,050,934,644,870,449,993,861,786,960,924,688,541,208,575,637,120,095,441,
281,159,252,830,956,868,858,184,329,435,760,170,912,959,785,666,397,300,536,
977,702,796,876,079,425,134,087,731,959,453,374,489,080,576,981,126,393,205,
369,398,305,496,808,012,019,309,464,698,985,613,796,194,285,689,469,813,808,
129,401,550,414,864,984,890,227,865,658,829,354,077,224,687,238,515,927,801,
710,179,762,366,022,298,131,197,115,459,597,417,779,679,011,386,381,618,414,
811,448,920,173,410,398,403,714,688,476,794,326,135,039,628,486,237,476,352,
886,375,906,757,234,820,137,111,635,371,090,464,988,690,810,716,003,193,646,
291,498,274,343,981,641,807,886,404,095,928,060,516,592,234,141,895,568,895,
581,674,758,662,785,590,332,464,899,201,964,933,096,298,882,314,475,403,674,
210,862,521,151,810,421,091,790,637,574,858,837,137,790,101,394,010,664,494,
870,088,720,363,869,859,972,733,834,857,712,596,637,355,778,723,935,975,334,
300,159,947,762,353,629,867,189,750,411,449,960,715,300,409,792,380,766,095,
442,255,076,828,135,767,508,179,933,160,487,821,945,859,064,980,711,306,374,
850,329,904,632,584,735,883,848,964,258,134,557,786,459,557,911,436,139,003,
180,732,795,183,620,022,401,581,453,357,010,907,165,957,059,169,234,689,302,
263,388,857,406,220,208,647,450,277,467,263,733,231,194,289,578,045,060,052,
452,285,615,642,113,480,558,916,773,666,125,189,530,778,931,352,346,102,962,
069,555,877,926,532,391,286,690,609,709,803,884,382,995,315,785,228,504,130,
718,405,025,731,784,566,749,837,117,856,817,107,094,352,102,278,970,959,630,
562,325,599,275,783,205,235,641,562,194,549,965,611,034,665,698,305,771,428,
093,739,523,225,350,787,260,762,423,176,986,500,731,596,860,129,708,190,699,
970,955,699,396,434,271,078,843,905,416,625,666,333,560,422,506,187,584,281,
058,969,622,104,454,696,956,198,307,642,522,606,060,657,605,354,747,626,054,
711,465,071,489,789,563,494,695,652,040,530,621,670,996,336,424,093,535,071,
434,706,273,473,831,496,573,104,178,134,288,685,359,103,418,844,615,357,558,
243,625,947,639,669,672,885,584,367,524,228,857,292,147,002,636,575,314,147,
432,376,740,153,227,252,231,503,370,962,317,531,070,299,943,425,875,041,278,
156,612,834,257,922,517,346,143,319,385,400,739,629,774,393,743,875,723,825,
299,099,542,733,850,105,807,554,766,077,827,077,210,520,604,003,166,432,611,
054,538,973,664,990,209,818,232,869,723,716,689,982,321,743,980,831,875,313,
570,332,459,255,087,750,497,376,598,654,559,561,960,968,235,009,071,016,270,
230,887,325,827,339,384,146,540,837,328,611,321,592,416,481,574,014,979,329,
108,481,135,686,594,977,060,527,349,807,120,931,462,187,345,012,666,532,637,
657,185,025,714,186,596,726,885,052,193,276,866,703,971,464,312,302,374,298,
774,994,898,815,889,987,621,435,561,692,915,530,362,304,813,591,681,449,129,
436,809,966,824,850,619,819,727,897,263,826,916,735,947,079,025,619,028,043,
510,800,654,028,100,395,527,798,382,754,767,536,725,482,361,743,471,672,705,
113,658,924,909,553,486,791,464,945,469,938,710,443,256,636,328,160,204,196,
628,811,936,102,503,356,554,007,036,023,737,392,921,209,468,992,036,422,246,
419,816,380,413,131,966,898,792,602,062,273,931,861,071,283,159,949,967,506,
604,988,731,833,305,741,726,596,834,411,201,687,300,011,162,188,297,639,053,
052,143,887,978,330,652,736,968,188,462,777,939,300,010,851,820,663,377,105,
107,630,006,221,193,917,143,276,247,590,334,619,658,433,605,845,197,459,533,
000,689,128,374,326,390,250,987,201,774,863,629,692,868,059,079,609,699,606,
743,671,706,798,867,838,003,683,104,264,903,528,133,395,225,583,481,811,886,
536,774,967,563,166,386,587,649,660,489,685,611,614,215,506,565,765,298,778,
728,912,180,254,325,499,321,427,867,328,564,026,460,532,125,644,905,646,283,
688,805,036,698,120,656,218,519,875,467,027,593,243,413,171,227,105,541,270,
173,545,110,330,201,633,548,383,999,627,049,463,313,584,241,980,942,875,392,
034,169,867,820,242,606,967,866,758,607,186,581,613,794,035,431,305,074,275,
788,056,392,396,830,077,527,495,128,262,921,785,431,049,521,920,809,128,313,
442,095,171,220,187,876,344,399,056,261,688,650,982,128,267,238,573,605,882,
243,808,684,277,878,250,359,773,128,811,289,082,793,939,732,053,746,242,140,
237,836,239,833,183,924,969,912,916,567,101,451,222,562,930,442,558,380,817,
273,874,996,888,875,471,216,468,257,516,141,607,251,384,732,585,683,663,453,
556,604,823,721,033,302,630,491,159,345,615,283,175,605,903,916,950,703,166,
300,455,446,541,156,646,546,045,432,282,255,735,603,096,125,053,377,618,548,
665,929,349,562,915,427,621,656,746,314,248,536,394,228,423,157,967,983,731,
430,804,162,143,849,258,817,301,245,329,085,712,042,629,720,409,901,833,790,
465,156,422,595,986,169,639,956,177,485,759,201,835,780,635,805,774,747,722,
006,781,645,479,953,465,073,986,174,833,597,114,777,126,079,535,773,805,408,
751,112,861,541,117,100,220,988,048,450,045,638,685,049,296,938,348,376,818,
797,532,804,153,621,006,912,002,189,620,706,468,628,285,013,754,512,962,325,
369,839,060,408,519,824,981,605,291,298,282,863,157,375,890,102,143,371,969,
498,654,372,116,734,480,477,591,080,547,978,798,672,859,335,250,681,369,732,
210,933,369,061,963,128,176,871,231,065,600,371,426,560,333,414,449,809,516,
902,927,571,896,956,632,221,646,242,290,534,207,606,020,416,296,166,770,808,
066,839,234,105,238,310,639,231,887,587,975,732,782,733,180,554,536,838,359,
707,948,363,176,181,875,705,655,883,411,347,625,807,551,860,236,317,754,998,
694,576,752,123,691,179,820,802,353,567,200,271,163,583,511,106,882,237,628,
612,423,317,750,211,981,631,888,090,266,933,109,972,795,498,446,363,332,786,
271,495,987,268,149,940,644,303,122,154,940,917,569,329,061,994,692,050,690,
658,785,024,925,319,110,096,484,454,227,519,978,012,084,875,318,181,492,237,
521,755,120,823,560,525,585,329,868,102,319,788,387,476,566,395,016,157,315,
153,060,123,423,826,581,132,204,730,167,623,628,503,770,484,547,320,763,608,
930,294,902,812,297,607,966,161,491,991,059,860,903,373,960,343,799,539,594,
556,847,220,123,223,006,837,251,745,598,499,295,492,559,051,074,581,214,385,
629,631,610,168,762,144,388,587,527,652,700,773,262,745,128,977,506,806,880,
517,300,070,779,105,538,317,682,499,240,434,087,653,958,487,737,419,474,144,
136,133,847,603,951,067,321,634,412,191,141,090,345,477,773,691,140,569,242,
634,516,618,145,047,068,838,596,697,264,049,344,522,639,627,298,426,893,221,
261,187,866,634,072,361,266,222,728,172,831,734,345,271,091,704,264,108,013,
084,683,111,628,274,652,357,035,552,354,947,646,996,651,284,080,996,759,177,
773,321,209,143,508,444,004,043,914,299,265,908,272,683,695,015,160,390,946,
450,022,681,440,859,372,743,247,442,468,214,503,805,970,910,108,565,193,396,
340,478,622,706,546,722,618,629,295,039,345,145,837,417,724,946,876,616,926,
305,706,821,518,208,050,116,248,297,860,940,198,914,024,308,417,186,127,107,
209,111,302,627,541,118,722,144,394,834,529,932,111,362,708,941,268,273,188,
577,968,125,727,020,221,235,901,163,332,162,965,336,451,049,913,027,986,278,
042,026,873,837,526,610,607,509,742,474,900,076,031,304,975,391,753,941,379,
530,109,204,509,666,474,154,679,606,943,588,465,314,292,502,172,436,982,557,
433,366,716,477,171,828,337,586,699,880,422,792,324,284,385,040,800,019,739,
171,312,479,463,953,639,648,310,247,777,541,634,758,354,848,139,782,139,887,
057,945,263,764,074,306,011,147,113,002,374,022,045,512,319,033,557,957,833,
576,627,417,468,225,017,924,491,490,647,629,925,626,640,727,356,931,777,169,
122,104,533,019,661,960,385,252,302,905,372,453,998,994,181,977,084,474,476,
660,172,445,224,940,625,222,099,617,573,820,483,830,979,368,817,367,702,016,
334,871,032,778,843,257,508,631,676,046,157,028,197,957,171,941,025,625,944,
042,638,718,066,337,861,811,354,302,468,589,536,069,249,667,606,160,360,319,
283,313,369,494,193,177,742,723,002,469,688,438,019,049,106,658,548,667,776,
021,916,453,764,784,862,931,582,371,589,825,915,981,609,036,380,187,417,862,
664,467,336,285,804,736,411,810,860,118,182,294,994,297,632,690,697,042,484,
755,793,071,772,262,975,478,768,671,608,498,872,503,595,963,940,870,208,661,
722,666,648,713,449,534,679,394,569,300,391,926,833,402,272,911,373,715,325,
897,162,285,609,838,003,025,007,591,521,610,688,901,238,267,264,286,798,907,
783,119,874,104,275,381,966,612,043,995,261,112,362,327,724,447,121,803,424,
374,146,481,256,211,418,637,834,004,678,255,841,721,597,882,683,897,967,604,
913,213,155,169,315,879,519,982,407,518,883,164,029,356,732,217,951,162,521,
625,259,392,601,893,400,873,083,524,276,812,822,875,858,877,294,786,847,547,
320,961,675,573,508,454,974,771,161,065,801,916,392,750,858,882,326,772,983,
534,830,711,527,572,236,090,955,272,475,261,296,056,390,196,014,089,517,902,
905,776,680,181,819,482,523,470,439,325,193,089,223,284,078,667,353,444,180,
659,205,819,350,561,224,056,611,419,542,849,116,646,754,539,137,337,239,448,
289,848,820,153,549,064,118,768,049,628,147,100,316,314,803,646,304,583,892,
116,479,295,852,389,464,121,947,738,291,923,561,194,616,453,625,840,531,946,
993,506,002,757,783,777,166,422,066,903,158,832,384,349,078,651,249,168,386,
244,787,385,974,971,930,258,331,001,103,435,493,468,785,530,047,199,048,511,
769,266,598,046,264,645,785,047,464,999,736,785,642,654,303,563,384,092,699,
114,289,343,197,980,908,164,324,279,439,449,467,782,642,723,238,075,586,674,
991,508,881,899,320,365,719,623,368,861,382,692,755,581,635,118,778,620,815,
781,226,485,322,438,215,521,925,752,896,110,209,452,219,603,572,692,235,669,
294,407,803,581,811,468,390,610,963,374,590,996,516,638,606,807,107,828,497,
417,228,538,717,675,655,014,262,655,606,179,451,984,865,609,601,767,324,102,
491,498,378,200,618,103,887,440,635,225,499,997,479,763,483,005,937,298,480,
301,816,805,889,824,589,654,690,834,016,047,420,690,212,997,688,530,119,131,
950,054,087,151,570,843,780,853,483,281,516,936,949,723,130,508,213,799,872,
073,573,906,514,493,997,818,477,207,432,105,128,625,055,779,807,509,173,405,
365,228,062,023,292,615,118,341,856,717,196,960,264,435,230,654,616,098,424,
086,476,078,596,646,977,868,354,634,635,563,282,308,418,596,362,665,780,041,
143,232,139,505,639,555,420,049,732,297,441,083,511,765,827,858,682,404,627,
554,586,905,136,458,158,990,249,606,741,337,547,166,305,336,023,334,032,278,
688,803,289,487,186,398,284,692,357,864,077,526,032,864,522,796,909,534,093,
329,878,360,788,516,934,032,906,546,789,816,318,515,858,888,770,195,317,927,
346,271,526,049,708,781,925,877,879,855,995,909,469,858,227,389,180,473,035,
045,840,428,202,115,737,489,497,062,067,220,547,300,982,787,920,649,371,606,
839,865,004,213,395,399,964,567,752,313,336,773,489,122,968,896,977,584,940,
123,777,015,838,311,519,958,939,621,697,081,747,032,248,804,720,641,364,570,
010,722,563,750,564,677,573,530,743,090,861,654,785,201,219,383,546,072,254,
974,694,672,125,269,333,761,480,519,027,035,969,507,241,020,410,979,841,497,
296,879,829,718,129,936,598,323,539,923,793,181,212,594,411,805,540,899,548,
165,462,764,001,663,593,112,774,014,553,635,441,106,576,999,149,005,831,406,
573,998,727,615,268,319,150,612,465,595,431,747,074,391,925,651,152,626,654,
509,115,517,132,829,497,086,255,677,616,852,521,037,399,464,942,684,161,227,
407,646,112,729,398,789,114,090,288,472,394,720,306,919,912,284,797,565,440,
508,142,206,648,437,504,782,309,483,453,962,915,731,257,156,164,861,193,424,
790,011,881,747,252,531,682,147,302,598,968,855,782,066,077,140,660,165,063,
870,635,440,889,608,545,475,598,951,518,888,707,304,143,391,662,278,199,572,
142,562,576,508,787,420,264,355,937,580,881,353,306,431,654,115,023,700,079,
047,905,722,090,679,013,094,002,326,338,093,829,756,102,533,111,540,489,233,
493,559,967,536,064,729,789,085,118,328,706,720,449,621,418,529,419,751,238,
963,021,076,770,596,958,534,641,201,341,495,656,451,232,809,870,287,822,182,
342,880,869,601,741,073,387,394,600,418,117,430,703,171,274,167,178,401,124,
461,534,485,613,374,169,221,030,521,419,564,549,388,327,530,457,468,109,655,
310,306,441,096,896,056,354,866,825,254,246,364,251,247,729,059,869,709,267,
501,011,902,005,818,609,693,367,149,421,996,378,276,275,155,026,727,432,684,
871,374,023,787,605,048,237,313,921,711,482,581,431,754,266,551,034,201,469,
467,149,532,456,299,305,873,923,999,417,078,042,107,909,513,074,416,835,121,
036,080,875,394,724,444,861,578,897,339,021,259,500,434,349,480,426,299,641,
154,008,431,599,797,720,163,245,335,213,077,415,854,804,950,979,361,839,111,
485,769,594,038,368,595,719,162,092,497,413,163,191,518,629,268,799,229,867,
523,918,154,337,004,068,736,531,809,262,793,984,553,306,304,905,770,407,678,
185,176,802,891,750,186,119,945,520,461,445,120,269,819,095,509,721,585,278,
937,711,506,760,006,866,832,666,572,963,497,748,552,867,878,416,751,463,123,
688,041,166,007,503,233,205,826,437,573,922,562,047,712,847,149,476,616,186,
293,544,667,091,355,236,166,506,602,478,136,311,515,392,947,609,935,453,589,
303,913,158,054,366,702,798,611,456,516,325,269,202,506,456,239,089,387,116,
838,586,874,597,415,168,061,350,941,239,722,574,904,730,559,011,361,500,436,
675,546,490,329,294,791,387,386,177,006,298,848,170,109,872,126,324,836,221,
332,629,212,523,484,487,964,252,648,945,891,050,311,455,614,020,465,096,044,
290,475,040,879,049,621,962,655,503,698,565,151,790,824,249,533,106,663,339,
954,084,706,637,689,123,602,561,144,337,710,814,026,604,140,744,702,027,588,
854,426,047,065,017,525,615,040,203,103,339,311,560,382,697,482,057,157,059,
099,611,553,990,860,247,273,749,149,887,189,485,668,951,113,048,216,198,677,
742,683,065,428,314,027,084,661,668,414,261,078,723,314,610,338,392,894,982,
707,270,181,933,577,328,756,604,356,394,618,788,732,664,142,799,103,650,909,
053,292,343,210,092,370,360,470,764,646,801,721,755,931,902,142,983,289,901,
377,090,388,918,377,966,968,217,781,919,516,689,930,149,883,775,303,377,896,
008,442,572,510,820,300,122,457,859,456,215,426,220,760,219,866,498,806,926,
520,588,087,189,606,984,533,866,361,622,668,961,713,321,567,345,114,044,583,
126,456,308,408,611,429,452,528,743,821,370,621,225,761,699,140,743,153,946,
029,800,374,393,141,339,876,122,697,030,759,453,396,137,368,936,008,010,346,
373,668,125,269,590,750,549,965,201,451,257,830,490,263,818,935,464,222,290,
362,859,013,712,971,927,853,803,553,974,672,358,956,129,636,123,128,178,702,
120,250,553,233,411,727,465,027,425,800,609,108,137,529,911,916,030,506,852,
105,691,775,517,476,267,430,740,969,839,715,359,401,448,666,276,468,908,098,
784,408,044,840,046,056,963,891,303,830,825,474,451,414,748,208,458,219,858,
161,976,385,716,246,454,114,358,158,231,226,678,221,470,972,527,438,655,262,
841,902,862,663,577,149,878,323,845,834,982,471,892,767,373,155,957,398,672,
235,883,098,079,250,918,430,439,929,434,190,131,529,376,015,147,813,950,015,
305,472,318,841,156,567,740,021,563,274,417,283,414,619,315,110,064,680,870,
569,116,697,313,409,692,869,286,477,522,163,466,344,536,129,450,489,787,694,
283,567,152,270,721,545,042,772,726,250,795,570,029,019,013,594,346,786,417,
474,005,009,066,988,893,509,071,630,319,218,172,884,416,781,277,068,621,873,
121,342,792,475,303,386,995,901,721,427,919,936,924,162,130,642,920,380,390,
091,722,866,258,477,167,771,363,626,117,333,750,055,243,335,832,189,414,930,
380,538,037,574,581,456,187,229,057,436,182,455,119,563,378,048,119,845,101,
706,189,648,347,667,202,038,613,289,874,103,306,476,168,735,646,433,148,849,
727,369,106,114,189,717,151,552,137,129,489,314,512,768,397,428,685,740,519,
509,109,816,832,171,386,697,841,951,263,486,752,766,687,172,936,794,532,286,
585,100,027,311,551,914,115,071,993,451,089,795,205,733,885,404,742,959,235,
460,022,651,823,142,372,775,229,119,947,277,096,985,026,525,912,929,777,754,
825,320,187,572,447,556,038,140,095,033,273,060,069,093,498,358,289,930,031,
978,574,751,834,224,131,595,436,936,370,972,956,168,697,709,793,244,038,100,
902,520,812,301,358,337,215,416,501,525,551,039,273,707,974,900,503,122,069,
091,491,190,918,613,748,353,399,852,400,799,224,877,527,860,817,312,297,904,
699,472,512,390,327,506,069,698,915,050,968,699,999,003,812,790,473,744,077,
926,166,100,944,862,297,430,659,571,442,490,205,117,136,090,144,877,575,447,
168,949,606,797,575,231,767,010,136,289,352,305,693,369,955,807,543,107,062,
706,958,533,144,701,133,706,790,194,584,936,958,175,584,651,273,576,715,209,
300,328,182,208,485,994,033,871,210,578,781,001,865,467,205,325,762,748,611,
278,683,139,902,658,487,631,184,500,138,413,854,325,802,657,686,951,381,249,
137,933,639,420,015,163,967,595,984,526,614,257,790,666,193,832,016,973,488,
952,320,170,230,305,785,732,794,280,873,886,327,208,277,440,041,922,391,683,
636,236,962,854,832,368,904,819,594,652,626,530,201,521,529,700,323,499,714,
360,209,634,988,985,876,837,203,809,514,551,000,824,093,863,506,698,216,412,
281,956,747,448,161,565,799,849,872,123,741,063,746,604,084,855,409,346,862,
751,826,739,344,853,721,698,570,098,077,124,472,096,705,314,347,449,727,651,
623,954,264,392,206,695,959,650,199,929,367,976,810,356,873,219,247,864,435,
850,459,986,374,244,550,342,040,988,575,034,074,900,812,496,879,512,902,987,
419,252,854,640,731,074,951,451,398,943,964,319,246,267,917,463,830,491,192,
667,603,931,976,445,760,558,637,002,447,212,619,008,063,904,589,135,678,338,
136,965,632,987,041,409,321,369,551,783,443,937,868,193,389,385,739,065,518,
163,355,393,354,832,355,594,407,592,374,919,678,892,060,263,896,322,334,516,
876,025,308,903,639,481,202,663,624,426,522,873,661,506,945,738,640,021,613,
515,590,689,738,213,220,438,375,962,902,589,821,808,064,674,363,771,214,719,
755,851,311,050,285,008,192,653,696,197,081,594,339,501,662,035,973,351,251,
351,718,103,259,559,486,678,030,477,771,902,064,912,350,717,757,458,563,362,
864,181,594,494,342,589,874,829,956,857,995,456,394,067,583,355,820,808,681,
013,575,265,830,808,575,348,520,941,770,856,532,610,035,659,282,277,971,628,
917,370,687,133,050,913,227,952,072,076,239,932,865,649,016,528,360,610,497,
621,639,249,529,634,865,258,150,521,245,226,310,864,917,709,453,091,486,219,
952,827,740,081,217,184,617,938,007,471,639,033,746,033,324,251,490,777,863,
562,950,091,036,395,087,844,888,703,800,215,596,183,284,182,753,020,872,019,
565,732,630,021,903,709,096,615,567,570,082,575,851,461,720,676,965,083,542,
132,401,138,506,933,816,945,643,554,356,375,938,336,405,913,443,460,183,911,
506,584,223,610,407,808,144,168,420,169,726,552,334,933,264,137,698,269,018,
342,067,411,812,218,048,151,795,335,676,960,066,550,077,479,368,471,009,789,
301,180,035,403,728,921,775,478,007,514,531,573,454,101,313,397,622,204,626,
906,947,149,049,233,239,537,497,883,470,410,557,326,818,349,178,169,064,472,
935,997,433,725,723,400,021,239,879,636,902,686,665,380,305,513,078,698,826,
369,144,503,199,414,143,442,728,221,313,611,698,222,894,568,361,220,409,463,
085,147,498,891,262,573,709,499,593,545,499,426,429,188,552,527,669,880,343,
561,992,868,380,073,513,231,148,053,645,190,356,761,609,735,191,835,294,617,
906,474,848,445,167,972,448,008,940,581,400,009,959,685,146,930,883,697,321,
804,279,768,969,779,406,632,548,222,710,189,531,145,335,967,105,897,488,596,
837,141,165,224,505,743,294,816,323,623,082,985,273,132,579,638,618,056,288,
696,547,414,299,223,665,758,030,616,435,089,883,889,445,740,852,801,436,240,
289,932,264,651,339,534,243,669,892,436,227,263,683,465,274,677,257,796,911,
933,240,878,310,455,626,823,332,004,954,365,784,699,359,749,961,833,378,012,
147,841,663,140,757,726,424,703,519,149,785,860,741,157,068,030,097,546,908,
704,522,632,351,695,748,893,284,474,816,626,307,184,343,635,966,826,099,569,
281,149,416,732,907,158,320,749,359,705,772,179,149,123,459,550,328,249,268,
898,039,717,390,302,169,199,652,336,558,102,077,999,695,173,095,470,450,735,
404,876,369,317,576,547,643,604,559,830,734,024,725,760,849,494,232,431,508,
708,084,199,621,802,512,487,594,898,051,104,680,319,906,206,851,943,693,644,
361,901,061,339,123,845,153,583,652,511,040,775,725,038,766,879,198,970,464,
229,979,088,403,252,823,108,757,883,430,053,941,229,149,196,860,998,720,060,
545,102,004,899,324,233,286,134,462,906,453,745,368,088,494,532,663,980,027,
617,157,632,310,404,230,095,486,989,743,079,107,337,720,890,638,125,548,757,
876,024,382,289,988,343,470,440,797,095,026,746,074,885,844,971,277,021,999,
218,063,907,473,221,697,815,476,999,397,608,456,463,219,654,578,414,093,065,
924,432,112,877,612,446,036,092,761,640,063,489,821,868,328,482,580,664,368,
808,046,801,899,635,522,041,186,741,309,698,313,938,788,126,765,511,526,251,
188,155,172,489,791,253,884,940,802,165,377,216,724,495,840,186,737,912,891,
893,073,529,500,031,315,822,690,907,394,590,503,826,067,301,921,092,802,870,
824,105,140,229,109,211,554,545,521,000,456,131,050,408,491,147,731,486,348,
156,184,766,434,428,916,854,985,636,515,485,110,903,990,499,937,841,667,376,
955,549,403,744,437,680,319,348,015,702,416,877,648,516,593,785,656,071,944,
696,106,104,361,462,828,717,151,741,961,216,409,732,677,907,861,469,148,353,
237,610,572,716,568,364,704,580,554,585,476,315,913,027,227,949,674,787,312,
173,352,032,077,088,867,770,676,674,859,380,439,639,933,693,941,671,160,719,
265,651,166,836,980,670,517,096,359,552,455,300,382,626,485,651,969,223,170,
410,361,521,557,679,014,283,105,901,268,651,189,973,766,200,221,921,374,412,
843,518,819,347,207,799,802,239,492,377,460,512,744,534,591,623,897,145,261,
241,055,220,889,844,070,358,174,192,758,326,778,658,568,794,049,574,850,888,
571,355,500,159,560,129,277,335,394,439,518,248,917,650,764,853,081,971,360,
741,090,033,919,663,430,071,808,758,265,239,750,260,954,139,603,183,300,071,
524,355,800,392,387,953,127,040,716,442,591,143,608,844,031,504,709,304,688,
448,224,830,607,383,600,710,073,202,093,772,578,922,569,199,194,294,453,646,
471,275,854,349,357,877,475,302,266,863,441,924,825,249,718,763,628,038,112,
270,259,388,629,108,398,636,519,334,349,344,209,267,404,499,721,172,327,220,
368,251,631,995,707,636,469,607,057,380,947,800,950,846,274,981,029,405,671,
380,644,554,813,076,737,990,974,442,801,363,429,297,917,897,323,222,238,736,
379,732,222,109,147,087,718,818,324,825,176,325,444,316,116,078,635,838,448,
637,128,826,791,022,193,195,390,838,775,741,762,604,601,953,286,359,384,684,
801,449,411,434,730,751,670,573,333,107,378,314,164,435,787,386,942,918,909,
889,874,016,846,731,101,393,120,500,514,100,390,855,472,027,970,740,927,980,
535,109,863,475,877,688,599,660,065,293,034,444,650,723,254,779,826,594,321,
335,329,259,590,823,933,504,724,372,830,883,052,809,261,018,335,929,696,972,
997,581,348,471,207,396,543,101,669,113,493,766,940,984,876,645,885,095,584,
454,546,595,986,011,424,051,012,199,576,248,670,091,520,693,762,794,592,897,
342,130,204,281,262,230,065,015,850,738,224,620,689,548,907,089,654,505,604,
114,358,573,639,664,674,508,447,423,593,180,907,578,965,232,099,430,139,523,
454,174,627,949,117,458,517,574,004,878,076,551,973,161,765,752,337,149,813,
015,564,288,011,568,351,591,076,017,240,926,328,583,134,107,820,980,488,829,
748,904,185,923,603,341,671,990,204,270,406,843,285,850,226,543,100,256,631,
571,031,775,416,082,642,025,906,242,901,822,156,380,311,159,075,705,411,980,
035,426,909,584,087,033,403,451,983,507,107,835,465,860,397,930,738,780,313,
891,025,083,133,362,064,954,502,684,155,649,612,330,684,699,919,739,351,261,
733,589,162,651,999,746,225,999,999,716,755,266,513,914,031,245,061,037,396,
727,710,946,913,220,924,227,199,390,544,843,970,877,231,041,498,785,806,655,
559,676,009,494,397,185,468,357,335,797,602,190,695,026,772,678,011,565,069,
389,254,344,678,698,799,920,980,926,436,461,954,644,275,974,729,787,531,929,
528,501,375,693,697,604,024,762,756,748,933,376,909,970,827,607,585,788,987,
252,691,683,738,853,824,292,431,513,830,440,613,332,753,327,867,397,320,916,
884,441,909,070,429,433,956,176,257,721,661,088,649,706,162,200,233,488,202,
000,255,165,127,441,394,278,678,386,232,479,670,186,006,490,806,310,065,239,
501,067,857,591,048,346,644,367,292,692,674,194,963,548,952,427,982,873,881,
611,468,287,204,880,321,890,379,478,141,308,166,562,592,840,951,100,875,003,
908,989,248,593,271,411,707,811,094,365,779,157,589,045,775,446,361,705,448,
615,055,166,140,983,229,403,841,185,131,892,307,816,146,088,689,053,545,941,
618,264,157,142,145,141,943,110,357,997,351,354,115,485,913,567,290,940,860,
351,984,514,003,259,035,433,140,442,600,932,583,195,294,418,110,854,079,543,
812,368,765,090,379,732,218,785,493,502,079,803,094,534,236,747,154,074,948,
746,753,162,693,945,616,238,228,839,334,389,834,423,812,322,700,475,892,024,
545,178,379,354,694,074,571,323,531,960,935,014,406,807,941,147,291,123,012,
327,106,214,879,201,836,860,660,698,921,084,961,588,918,910,583,154,174,563,
604,786,326,604,387,596,843,114,035,560,705,244,513,189,299,897,517,152,880,
735,979,081,926,300,876,048,091,329,118,619,172,342,230,330,036,705,072,257,
997,643,205,835,403,306,781,460,625,079,642,120,441,478,272,962,992,389,058,
996,955,687,051,713,706,995,692,969,389,217,127,103,609,465,083,943,497,218,
949,800,369,581,347,163,749,179,445,489,645,366,689,444,929,403,710,729,886,
653,575,747,761,166,775,875,014,329,832,914,891,281,671,193,989,666,212,355,
060,308,628,614,272,545,273,873,330,025,991,981,715,421,894,447,589,968,512,
475,725,760,352,732,835,464,348,373,448,520,515,695,126,155,752,338,098,808,
612,468,686,937,849,853,162,121,830,096,840,612,550,014,796,122,551,316,858,
800,106,833,120,229,607,679,950,312,059,316,832,454,635,592,800,832,420,839,
744,698,263,868,118,879,472,442,564,844,502,304,938,588,794,015,747,846,261,
999,239,482,971,636,746,665,966,185,905,614,374,404,755,780,421,754,515,407,
767,740,106,448,465,654,184,473,784,607,804,842,078,320,979,398,734,629,918,
303,484,509,409,691,535,074,793,840,999,736,520,856,204,261,267,351,000,624,
077,315,876,599,178,842,774,329,372,492,924,905,654,472,561,794,432,630,216,
373,344,515,986,418,244,354,287,212,761,487,604,444,218,893,892,720,720,575,
161,095,678,325,926,843,935,538,590,880,520,280,021,858,236,914,328,732,156,
643,109,711,105,216,325,799,267,480,398,683,143,856,416,617,686,728,548,261,
384,707,249,958,304,572,712,588,517,624,554,579,788,690,468,605,821,914,460,
058,849,359,135,113,383,604,326,389,164,267,295,470,724,491,027,009,797,003,
014,277,700,210,014,337,231,099,251,429,057,173,878,355,324,768,070,734,343,
939,505,220,590,930,551,920,140,642,836,551,453,382,522,441,521,497,730,180,
744,709,492,156,545,345,490,484,748,112,572,602,626,649,071,455,583,822,597,
187,989,291,427,051,173,182,252,088,804,876,960,908,515,164,279,935,650,324,
188,782,708,455,197,623,827,622,721,654,759,344,272,269,803,395,839,827,670,
711,372,368,072,458,577,298,729,911,807,526,241,748,922,438,701,117,404,577,
593,056,461,206,933,922,183,855,816,694,838,286,417,855,544,916,164,794,539,
377,488,549,858,653,557,951,034,278,613,682,508,808,621,656,654,171,863,283,
804,949,108,705,503,425,845,400,086,948,051,341,380,612,798,074,379,230,759,
106,903,915,760,084,360,857,684,075,381,758,144,167,755,962,637,161,332,776,
994,732,302,184,999,783,353,957,250,051,177,782,969,209,596,403,298,745,223,
887,908,845,378,993,896,871,641,228,289,478,601,439,691,424,121,508,919,573,
988,246,458,402,441,933,134,318,233,046,637,163,180,418,278,028,011,969,374,
147,635,624,409,857,151,306,619,382,955,252,961,076,822,591,972,120,893,152,
728,560,241,128,003,493,768,208,438,469,358,125,691,646,946,882,339,668,109,
547,931,838,060,338,591,065,084,699,276,784,302,742,672,790,992,073,052,243,
467,186,810,063,969,609,968,621,086,279,860,791,487,831,111,382,107,276,459,
128,628,381,229,649,421,214,189,248,046,705,450,245,314,711,828,412,640,997,
271,546,367,884,926,375,320,765,715,232,597,872,971,161,148,275,337,334,789,
023,708,051,210,139,864,018,018,128,661,554,217,240,827,438,047,339,988,963,
369,625,011,249,141,709,364,209,069,039,177,457,225,152,567,182,582,639,804,
724,348,394,062,155,942,693,472,476,710,697,925,881,890,647,774,844,212,475,
799,708,601,261,055,811,207,580,619,519,907,722,601,387,793,322,066,443,172,
760,300,804,503,512,114,167,698,155,825,430,674,235,075,157,661,217,735,332,
841,433,699,812,713,520,363,451,215,584,059,129,113,452,159,990,818,605,247,
886,040,188,357,957,275,941,488,257,349,078,019,160,362,707,893,200,466,827,
879,846,500,015,355,197,710,562,249,708,162,194,647,501,733,550,684,501,939,
572,565,386,650,085,852,291,732,243,053,211,672,014,423,186,294,965,528,736,
414,923,537,413,040,869,143,302,595,380,615,134,352,757,790,342,959,957,704,
909,673,942,695,640,899,119,424,041,727,063,106,054,116,784,880,601,357,213,
232,421,360,363,396,634,479,767,384,975,343,885,555,752,950,012,129,701,445,
916,911,639,694,958,686,462,422,075,501,149,631,868,186,937,588,750,777,309,
746,666,726,167,604,367,693,495,269,942,535,803,159,320,793,167,667,101,014,
656,539,844,548,466,035,461,078,329,609,712,891,030,418,578,993,449,652,814,
176,252,761,281,365,079,001,470,371,988,769,736,875,332,242,451,917,068,907,
018,731,086,579,801,725,400,032,182,455,533,197,615,341,497,237,823,359,813,
689,868,983,505,983,799,393,530,603,269,007,246,789,288,095,799,152,690,509,
243,120,458,204,283,664,944,627,213,899,227,689,852,951,635,729,199,820,928,
476,884,911,638,916,231,672,811,812,675,755,393,719,166,879,843,754,400,920,
675,520,256,928,136,560,111,578,055,196,291,338,172,121,309,809,339,880,204,
682,579,774,265,119,865,386,913,160,532,750,908,232,254,412,933,554,671,254,
445,850,554,354,164,452,672,341,160,726,176,468,253,557,907,883,868,316,649,
697,012,310,840,837,745,932,192,082,736,566,159,840,502,492,198,150,609,394,
126,783,630,262,126,325,507,571,579,876,394,105,895,762,020,859,493,728,073,
409,072,671,262,532,396,975,857,056,843,961,191,220,394,535,532,974,894,454,
136,658,114,570,580,110,198,754,203,328,057,978,070,320,220,824,169,796,651,
063,397,238,490,230,397,478,533,554,730,395,470,437,591,303,311,445,247,664,
914,148,190,511,519,753,314,434,038,257,988,014,231,844,560,578,325,470,459,
152,240,789,759,534,024,869,699,991,714,809,115,118,024,661,760,259,288,023,
730,853,502,225,627,248,212,530,446,292,332,989,136,878,053,323,880,601,733,
829,605,796,052,264,128,337,440,490,218,823,640,795,580,481,182,180,685,544,
216,120,779,258,520,440,013,326,075,575,131,639,225,099,887,739,903,102,683,
607,973,512,537,375,409,248,249,628,412,223,611,397,309,495,837,652,642,109,
871,817,263,702,837,813,558,675,401,417,109,710,249,078,815,269,637,329,257,
878,975,950,501,124,760,551,314,255,181,918,362,003,962,695,789,466,638,304,
908,345,888,850,399,126,420,735,652,200,750,495,288,066,321,985,155,420,268,
480,718,180,428,189,113,905,840,710,445,282,334,138,337,665,272,607,471,161,
610,207,146,542,779,436,521,458,844,210,593,243,497,142,009,393,643,181,417,
498,308,097,158,560,323,431,984,402,648,606,867,236,421,839,662,785,275,416,
113,859,828,710,940,722,446,357,102,140,622,394,705,095,246,613,489,910,314,
319,842,790,627,556,522,645,892,975,440,809,264,582,045,163,849,956,661,485,
948,854,734,220,172,856,569,142,188,889,974,700,215,415,613,770,636,061,756,
217,804,705,956,623,525,337,579,013,388,470,567,448,222,363,177,750,513,999,
366,192,335,381,831,837,464,162,064,915,322,271,328,348,572,242,880,528,438,
929,904,085,477,509,681,329,929,098,072,266,294,863,846,080,972,390,059,772,
273,907,813,785,958,947,676,408,814,608,293,510,079,695,155,795,927,184,673,
060,560,541,259,577,632,429,396,334,550,506,405,107,947,022,022,512,359,094,
369,327,843,449,427,934,383,342,297,537,613,556,542,508,485,206,812,637,174,
087,715,396,810,228,996,416,031,830,707,717,067,673,505,195,855,112,697,013,
507,619,750,901,360,904,278,087,344,096,271,378,325,103,972,361,378,785,841,
153,919,207,384,733,041,559,627,250,852,227,707,763,089,527,224,434,490,671,
902,759,895,893,310,271,825,474,603,545,286,385,460,082,418,350,803,802,700,
884,507,084,154,625,080,619,234,637,842,912,471,574,923,587,223,322,738,953,
995,912,892,075,547,849,777,837,089,908,862,964,066,979,254,076,698,911,691,
173,768,783,125,139,707,059,237,555,073,060,656,555,774,907,355,316,374,755,
650,471,146,377,474,666,101,098,053,450,805,198,042,067,552,624,264,827,357,
197,816,811,226,520,907,919,036,831,646,949,335,597,701,309,917,363,709,636,
032,658,020,890,677,417,209,810,794,741,424,340,594,689,143,569,499,555,920,
047,857,003,832,115,191,693,470,517,210,911,351,005,215,381,238,696,390,105,
620,869,673,091,114,371,935,400,087,712,288,541,476,946,088,755,379,017,994,
208,331,245,840,915,759,609,420,829,404,815,769,468,987,730,057,810,218,786,
660,244,020,853,394,461,615,800,445,719,829,433,078,320,468,653,831,876,221,
589,389,041,887,766,843,904,239,831,687,731,531,699,021,974,941,251,329,616,
935,669,002,548,797,893,947,491,885,852,038,448,389,682,103,685,541,678,310,
556,990,247,949,272,523,466,872,223,623,341,361,531,039,917,860,158,454,168,
878,070,617,762,903,964,013,882,142,689,953,503,942,117,820,461,280,524,717,
740,389,876,698,168,274,051,573,792,127,100,081,200,776,761,339,029,999,722,
373,257,986,075,734,531,240,769,866,472,373,279,709,545,283,643,299,726,061,
926,122,455,967,125,592,935,836,353,806,649,864,622,121,600,686,057,067,943,
809,882,055,880,800,276,570,103,626,925,639,943,275,051,722,488,991,957,412,
976,060,611,352,230,603,596,867,035,175,715,374,879,437,180,695,630,317,955,
070,996,109,333,823,648,435,530,913,914,679,391,971,698,004,505,124,467,395,
092,662,068,188,717,043,414,607,964,044,395,072,038,685,541,082,518,964,375,
646,847,012,191,351,625,765,668,728,959,976,227,578,873,134,891,192,437,198,
325,764,675,865,137,067,205,733,154,871,982,347,223,985,666,878,635,473,015,
692,113,816,519,178,411,223,055,850,937,372,235,252,358,699,738,525,615,970,
556,116,450,734,100,208,049,072,212,995,148,388,125,579,888,139,755,262,660,
968,531,854,395,761,849,786,684,985,604,614,621,142,543,506,521,100,433,513,
565,547,791,768,433,670,750,017,958,356,879,422,702,872,939,744,805,931,045,
203,071,966,230,398,901,509,025,164,526,607,244,724,225,801,618,104,238,752,
053,184,789,278,558,949,068,145,499,215,460,163,205,969,322,655,467,394,997,
814,489,849,407,344,965,386,854,658,410,162,760,857,472,760,646,342,730,843,
869,949,345,119,593,172,382,531,384,902,292,061,248,840,019,940,064,498,552,
153,602,754,765,061,236,359,814,638,899,941,755,200,866,715,996,886,015,436,
170,227,951,008,359,073,463,298,051,552,862,363,344,827,322,678,201,598,503,
865,601,005,899,008,773,922,066,835,840,637,284,254,628,580,800,131,071,472,
787,770,577,969,922,092,244,977,235,952,232,541,747,469,760,579,233,993,801,
114,142,928,792,768,541,190,587,054,981,185,152,602,025,462,981,062,562,486,
015,374,913,497,132,609,115,950,344,311,206,789,544,703,051,906,132,297,489,
652,386,582,606,500,846,567,725,071,838,828,816,046,668,223,581,166,624,968,
878,301,636,494,189,408,674,510,169,826,829,511,119,621,936,688,536,842,428,
819,971,600,253,751,309,393,004,664,495,576,478,163,862,755,674,038,533,514,
383,574,731,260,642,799,624,841,905,280,757,315,526,333,788,605,957,009,186,
863,742,755,211,955,230,297,914,111,317,052,829,291,084,410,367,457,742,935,
384,767,313,207,136,852,974,357,012,077,745,281,054,346,149,926,605,709,503,
627,850,539,044,728,799,296,752,225,476,809,663,979,825,182,503,811,877,367,
826,903,467,140,990,507,271,774,254,140,459,936,624,038,530,577,726,329,390,
604,034,695,138,233,990,326,142,722,815,712,093,503,631,981,148,116,299,323,
041,323,123,779,218,584,272,861,947,253,470,512,035,587,005,806,623,948,062,
573,926,094,641,668,541,167,199,647,716,605,168,134,698,581,484,046,751,393,
829,963,981,585,133,020,184,718,411,008,865,710,542,971,508,435,955,249,446,
745,634,891,319,915,318,787,251,772,393,138,646,441,318,584,203,435,907,076,
097,918,318,273,178,792,287,082,432,454,173,883,297,710,321,069,426,984,955,
404,443,767,122,734,808,124,208,964,142,489,420,166,723,236,046,285,969,998,
658,670,326,367,163,279,420,042,528,940,569,853,958,121,198,929,937,239,238,
780,099,938,483,633,632,642,570,531,454,292,028,371,314,300,620,565,648,097,
277,122,518,294,938,017,669,452,260,811,160,829,630,020,643,048,892,679,958,
988,874,845,046,501,714,681,013,627,414,837,430,265,831,582,981,405,420,019,
046,817,125,014,868,315,152,547,138,969,297,406,657,303,135,105,754,391,892,
238,341,264,130,795,995,800,305,146,779,561,496,237,542,750,516,337,526,138,
696,545,257,323,822,873,700,155,727,246,413,273,758,159,890,035,636,436,941,
103,377,347,689,760,572,892,034,443,482,530,353,423,467,782,642,493,516,053,
753,211,702,017,936,713,249,678,134,488,820,515,204,997,496,338,222,845,388,
664,913,980,483,356,233,236,823,086,225,371,313,165,791,987,160,158,601,971,
002,149,198,843,032,895,839,782,428,463,439,188,817,384,505,331,379,850,705,
749,117,774,451,608,461,465,207,484,197,280,202,073,779,750,717,598,740,506,
748,809,127,624,166,202,586,927,828,796,174,594,370,436,413,273,648,666,182,
567,864,892,783,279,485,295,214,283,699,251,788,404,409,093,356,133,773,081,
536,732,313,325,537,794,871,073,065,039,726,767,517,520,498,586,230,877,983,
652,496,841,840,273,165,635,345,853,817,325,109,876,563,483,224,236,356,205,
631,465,818,675,633,638,046,559,182,034,295,558,945,568,285,711,101,267,905,
097,618,843,857,799,748,564,633,033,467,912,421,240,419,591,813,114,073,295,
365,116,165,921,083,271,589,253,285,757,679,021,989,912,377,076,373,471,108,
547,344,431,207,339,325,505,324,393,434,477,620,033,979,812,406,495,109,211,
188,709,843,077,980,416,442,646,985,678,148,887,640,756,550,799,844,454,278,
901,051,314,013,097,972,267,038,302,165,800,337,935,819,045,537,591,614,570,
655,474,356,250,050,897,476,420,300,238,858,621,417,499,243,875,683,760,001,
636,455,610,362,820,385,050,484,060,135,765,825,477,412,802,583,949,220,009,
757,168,891,924,806,100,846,268,404,470,351,519,339,446,478,851,978,286,048,
687,780,864,566,031,434,420,191,572,807,843,091,456,048,973,453,341,018,196,
693,689,411,142,744,242,767,166,715,792,113,169,107,522,801,545,250,950,692,
794,116,715,277,920,872,042,974,490,818,727,762,799,948,682,988,433,260,762,
515,768,183,534,445,084,214,181,813,193,213,929,382,736,903,963,836,907,797,
384,035,314,355,866,084,276,956,789,113,102,485,712,693,684,607,553,327,156,
399,577,206,267,318,488,678,595,976,067,933,518,874,862,838,281,286,416,093,
303,825,029,803,018,260,872,686,907,657,341,914,390,118,668,932,864,444,182,
914,593,875,503,842,925,515,182,468,550,335,615,816,075,697,279,326,362,823,
184,699,426,109,970,647,537,135,779,821,184,901,209,728,857,776,040,572,911,
993,759,177,930,461,876,035,578,759,528,581,135,781,891,264,310,286,351,940,
932,089,920,891,559,499,543,719,664,558,959,470,657,644,860,404,136,575,650,
156,885,022,690,448,345,256,525,883,119,519,774,422,905,452,315,568,755,120,
156,721,699,682,102,968,790,847,914,307,846,654,785,455,594,443,127,164,791,
553,012,973,350,397,619,021,908,792,880,202,156,947,110,833,297,224,070,129,
940,822,903,114,788,023,958,189,486,932,111,236,273,155,191,439,240,673,264,
682,370,476,132,833,417,587,093,625,129,243,963,207,289,467,107,205,054,706,
973,677,294,465,559,266,723,437,084,348,081,219,493,265,528,298,469,917,198,
712,204,334,736,692,263,939,081,176,229,172,029,183,996,050,663,416,590,157,
609,969,964,662,670,719,616,013,336,064,169,899,694,794,838,870,230,546,478,
465,477,896,318,500,853,663,730,806,506,994,504,727,571,025,179,782,971,491,
915,726,746,175,550,453,919,594,294,856,533,140,697,376,708,713,049,777,064,
175,885,185,163,306,014,094,403,058,219,467,112,283,117,982,469,231,167,152,
104,658,831,131,248,656,300,804,076,942,008,403,920,317,205,202,381,917,758,
863,906,088,895,522,615,970,851,325,175,502,121,279,555,121,689,273,733,727,
314,489,277,601,963,251,153,664,734,710,174,711,328,651,119,444,666,509,785,
437,683,763,348,166,123,466,965,117,028,542,191,477,544,332,453,443,944,974,
742,586,608,645,079,040,585,797,199,524,137,803,367,778,069,742,717,390,431,
806,337,135,815,866,479,385,939,360,656,083,369,302,364,597,068,962,450,992,
536,003,348,616,645,786,217,776,808,460,710,534,313,289,807,913,487,040,291,
421,326,817,373,433,859,083,773,648,589,547,151,230,259,020,134,245,321,600,
947,136,605,577,520,856,876,458,155,523,804,213,287,270,595,613,463,504,403,
448,710,884,717,508,293,425,059,893,475,487,961,838,244,830,527,792,789,329,
788,828,796,457,741,200,599,574,443,958,970,628,692,010,286,892,931,423,539,
640,403,619,234,008,077,345,540,068,721,876,223,427,588,404,155,906,863,370,
291,903,609,660,748,840,188,062,688,660,869,683,647,791,719,409,190,495,938,
764,830,011,164,861,066,085,194,542,492,945,676,192,486,200,615,895,450,445,
441,592,656,386,372,517,470,345,646,098,844,274,543,149,941,726,127,254,893,
259,068,062,884,621,453,651,006,135,132,734,019,874,779,467,158,948,376,347,
005,261,652,704,057,471,655,217,942,173,213,175,796,633,997,405,316,704,085,
948,848,232,323,202,269,978,738,989,590,681,177,619,926,342,236,970,119,423,
043,385,656,978,704,387,492,249,515,867,863,113,159,150,950,982,816,375,946,
432,310,314,392,080,898,908,845,930,633,620,254,378,896,017,631,568,626,224,
511,259,503,467,278,269,656,714,758,351,743,336,404,315,923,306,237,108,049,
348,107,230,181,200,507,522,082,327,560,358,463,534,058,604,423,201,861,876,
983,762,326,134,766,022,877,565,176,035,322,586,118,463,342,070,076,860,368,
071,548,416,482,731,608,091,526,246,028,505,434,603,561,350,986,600,483,786,
923,122,951,466,048,911,871,552,967,338,622,107,500,597,086,166,975,026,560,
244,383,062,603,711,004,297,858,616,010,198,579,254,329,454,453,381,409,691,
526,984,957,676,347,172,607,770,600,807,828,365,143,613,784,002,979,419,848,
968,810,871,568,458,709,760,714,463,173,939,269,246,294,288,172,577,389,038,
182,044,827,673,225,269,746,858,412,832,005,989,438,106,770,764,782,913,623,
729,337,064,490,184,423,830,293,699,790,670,001,022,578,977,655,186,769,776,
026,317,858,511,383,119,252,570,823,617,619,851,871,510,645,683,717,216,910,
170,388,808,897,076,207,422,780,213,233,703,661,192,123,625,291,617,980,262,
823,465,097,713,177,877,283,003,874,266,526,351,883,433,498,664,380,961,584,
140,996,030,774,488,918,787,564,077,093,897,222,434,521,173,119,360,840,256,
560,984,378,364,862,890,877,138,510,482,107,673,699,681,158,527,489,154,474,
970,976,967,152,138,107,188,206,076,641,002,350,257,456,943,915,578,447,030,
446,213,384,893,094,655,785,675,108,314,781,146,715,981,805,558,486,275,595,
547,370,114,893,888,869,103,221,048,501,330,468,327,225,099,298,762,390,826,
347,348,757,320,154,348,461,193,831,236,983,196,845,287,035,611,108,163,035,
266,816,529,906,727,681,819,471,231,199,175,144,100,452,597,734,067,808,460,
392,330,521,668,087,301,342,520,558,205,013,799,175,307,854,472,314,284,223,
682,100,272,977,978,638,686,509,414,593,642,871,333,980,470,838,453,805,011,
240,066,307,159,887,851,342,916,177,344,757,778,926,122,558,013,103,812,577,
485,965,689,139,138,572,912,672,947,125,661,797,623,503,993,010,503,021,001,
183,502,267,030,063,910,153,659,280,462,629,454,728,293,595,504,244,116,171,
809,038,635,816,097,211,194,990,347,516,815,823,769,116,262,934,341,517,147,
831,931,035,378,585,338,154,401,965,879,183,222,998,066,369,478,830,525,906,
797,665,509,680,519,483,833,137,746,641,821,066,249,672,550,963,602,635,965,
877,845,334,964,898,321,588,815,053,147,055,113,844,026,523,143,854,363,936,
068,022,278,066,627,228,725,073,868,027,548,803,386,636,541,495,970,730,590,
108,286,567,605,003,344,245,875,759,292,137,152,355,870,684,702,724,265,764,
934,060,911,376,668,269,094,819,784,960,779,036,219,609,824,786,229,359,284,
283,511,164,854,563,819,399,875,888,131,236,578,554,818,390,351,768,408,862,
686,699,987,434,744,211,099,335,053,863,749,914,168,160,546,143,815,867,319,
821,452,157,392,893,491,893,397,960,284,465,036,416,082,384,861,419,154,028,
229,475,259,916,326,577,974,785,442,312,975,337,485,870,517,562,790,977,795,
508,802,666,201,825,686,487,031,628,922,512,416,837,202,937,972,633,178,877,
988,435,321,667,765,031,724,584,110,686,484,464,815,777,784,598,758,580,948,
276,804,214,394,920,201,751,163,856,109,128,662,037,888,991,404,997,753,848,
913,953,432,445,427,543,736,989,758,796,177,857,016,886,446,260,003,305,618,
264,002,685,525,090,526,343,831,928,814,078,245,177,674,600,623,095,046,963,
568,103,760,593,681,886,641,019,237,597,363,221,118,400,032,897,584,884,514,
171,500,192,210,997,668,380,257,026,217,707,569,611,353,410,721,171,418,528,
980,517,120,619,281,917,220,034,073,103,756,944,842,404,977,638,618,157,699,
515,724,578,122,974,789,695,026,767,597,836,264,703,360,850,653,840,732,705,
609,209,686,453,189,273,331,944,124,942,497,153,559,417,862,649,501,021,301,
666,056,212,275,049,476,158,232,966,722,316,188,715,482,128,981,682,003,522,
988,863,295,803,787,262,997,402,655,621,020,419,431,492,596,311,477,849,366,
231,877,664,363,914,521,390,252,265,757,567,368,954,414,089,117,313,593,155,
765,799,000,178,431,412,163,230,427,684,069,626,473,213,065,982,038,576,359,
944,428,396,634,883,763,552,595,949,811,968,047,035,457,456,762,265,576,370,
003,098,325,579,001,042,765,980,047,735,510,849,754,316,480,452,327,239,990,
869,719,966,421,389,235,497,521,869,683,903,340,512,802,514,142,242,660,936,
169,064,412,204,837,513,033,844,389,964,144,668,745,284,405,099,113,571,249,
789,236,733,263,135,531,008,198,770,432,127,960,500,214,772,466,625,973,554,
612,472,872,363,908,491,535,480,193,819,542,231,429,977,105,069,422,515,323,
845,564,780,314,577,259,944,022,216,223,337,759,972,879,875,879,862,616,586,
837,462,190,118,262,902,709,741,392,707,910,304,472,557,239,858,613,972,430,
165,596,346,638,835,435,046,794,793,944,770,513,722,724,346,827,015,196,061,
622,344,375,871,834,144,103,902,813,221,939,962,663,515,280,726,360,452,004,
713,783,372,782,267,740,888,418,152,911,505,718,637,310,084,259,442,989,700,
100,202,414,583,175,336,300,331,202,465,312,025,051,869,565,310,731,508,265,
177,243,093,901,990,993,433,322,465,056,600,574,637,523,761,386,083,120,638,
089,598,231,778,644,807,860,164,706,180,422,684,082,873,869,055,329,969,052,
710,109,716,187,661,786,421,389,182,251,793,961,647,379,616,400,025,395,275,
741,597,707,094,441,553,800,285,832,386,331,699,961,537,692,986,070,332,978,
139,469,280,384,983,051,418,731,696,324,121,879,741,211,431,072,698,581,841,
257,992,582,849,280,980,962,780,818,388,339,173,124,654,150,258,846,126,334,
749,102,641,040,079,323,828,620,600,366,134,178,412,741,180,857,303,932,144,
281,082,179,159,905,173,171,668,149,109,749,004,097,910,891,907,511,913,542,
873,205,965,048,430,629,589,035,381,573,725,639,923,960,056,188,912,069,998,
668,513,575,769,064,414,938,930,049,941,066,116,254,756,623,116,251,557,334,
415,309,538,137,159,668,583,730,350,084,002,273,735,294,157,217,183,008,216,
898,929,867,209,588,547,839,437,708,226,634,789,786,619,251,760,888,106,701,
046,366,735,628,229,547,009,714,663,814,202,774,876,223,228,868,883,679,306,
334,040,046,813,518,084,506,283,377,665,047,424,747,670,001,107,925,859,983,
303,384,684,732,072,460,477,858,821,596,004,244,832,155,045,471,640,037,131,
749,613,197,946,166,258,116,467,993,266,023,845,785,481,001,374,005,769,579,
414,048,372,010,668,335,925,506,651,590,482,156,553,562,751,073,123,477,064,
142,916,793,756,284,564,235,125,763,202,667,297,595,931,758,882,487,835,795,
056,248,011,704,106,808,599,271,868,718,829,032,782,011,576,703,845,821,243,
339,101,058,587,484,761,038,070,107,240,197,759,735,722,220,137,640,462,243,
484,170,134,206,979,737,232,550,817,591,657,457,359,755,130,849,495,755,213,
807,327,203,852,939,256,317,154,668,487,961,467,218,466,771,376,418,781,383,
777,059,327,827,071,573,473,526,959,486,496,487,856,769,047,275,588,895,802,
789,679,071,815,975,375,967,699,111,602,600,077,867,543,410,994,405,680,428,
687,867,460,169,750,158,205,410,839,499,415,896,470,695,154,532,261,565,061,
969,035,420,686,535,095,825,185,257,524,035,416,466,217,756,547,875,792,073,
354,930,215,225,298,595,341,275,009,443,455,875,012,058,647,716,847,550,061,
932,642,307,840,642,468,829,012,022,672,001,043,793,420,321,470,790,782,205,
407,649,402,195,452,664,450,490,147,768,899,199,747,182,289,598,209,102,514,
313,538,804,247,555,001,709,414,301,502,387,273,694,055,265,684,053,846,825,
022,613,925,511,031,833,838,705,780,729,797,011,535,368,618,755,474,324,248,
139,727,026,183,142,683,449,754,405,868,678,272,866,295,582,509,225,985,634,
829,333,408,221,271,884,891,776,520,222,122,402,540,345,992,178,294,275,919,
559,431,102,434,315,198,269,715,486,975,347,501,272,061,673,693,654,450,593,
985,825,544,620,120,030,463,322,050,232,784,832,438,318,545,913,909,053,060,
292,881,441,036,116,128,086,148,787,880,956,956,514,347,121,964,688,968,471,
183,023,903,637,155,939,898,512,506,738,068,130,012,246,683,909,477,689,897,
864,829,102,128,098,430,095,477,242,532,961,368,317,144,513,752,073,014,439,
227,001,800,216,860,324,837,812,194,045,933,625,868,084,662,624,702,126,615,
709,798,575,632,329,867,481,265,037,635,979,217,761,262,349,185,851,309,646,
111,631,092,516,871,329,747,139,614,431,919,584,878,129,742,483,985,346,910,
546,537,566,892,962,045,848,516,361,707,791,477,658,633,385,050,732,902,617,
343,725,786,527,589,289,054,758,272,130,328,176,220,583,539,156,271,607,057,
378,990,812,715,225,607,803,298,565,011,902,230,363,559,957,961,834,735,808,
342,921,676,267,985,902,202,074,245,027,661,322,012,655,933,491,301,646,653,
239,053,312,289,817,286,633,487,598,412,726,836,010,341,053,747,519,045,245,
794,944,462,894,903,195,223,105,864,080,800,856,168,727,086,797,152,659,880,
111,220,095,246,036,644,593,192,114,300,247,473,235,296,135,624,893,330,442,
125,765,737,092,953,236,189,174,319,083,503,953,475,948,882,645,839,548,253,
190,583,143,823,320,347,678,476,012,943,931,529,813,746,046,758,119,657,739,
339,740,714,308,472,985,731,057,382,469,940,702,241,753,525,883,172,116,155,
884,558,003,802,905,517,073,399,258,201,613,006,074,441,197,232,835,448,940,
938,008,506,848,132,507,465,126,765,916,612,496,620,951,041,752,891,310,343,
111,314,497,847,331,168,411,846,047,459,754,603,139,505,042,150,920,101,260,
310,935,302,993,251,774,245,376,938,729,341,184,295,720,625,284,785,918,333,
033,853,017,413,304,352,171,267,384,808,874,312,803,623,120,008,100,075,048,
857,004,370,575,118,893,646,628,546,514,368,794,108,207,003,220,065,944,524,
026,339,270,323,698,982,024,379,915,832,949,703,027,747,369,771,899,302,941,
331,553,419,336,109,371,369,419,310,150,799,318,871,360,294,789,293,962,936,
503,461,380,073,458,042,269,364,975,078,728,967,156,450,965,633,174,514,906,
905,607,263,484,626,130,551,569,412,240,473,031,937,868,690,471,332,370,573,
544,503,608,296,137,751,829,639,895,446,366,922,687,520,917,017,466,800,966,
703,924,759,787,001,880,495,734,432,591,539,750,208,749,043,921,592,196,361,
110,630,279,980,748,496,999,633,038,230,131,087,997,759,290,751,332,161,131,
370,500,076,845,600,389,497,798,608,394,607,228,160,681,847,770,947,693,897,
094,080,992,939,406,064,166,125,130,171,130,820,369,166,806,462,930,874,404,
390,859,203,963,321,579,022,128,017,031,297,769,299,201,447,099,827,505,639,
856,021,382,608,855,665,478,042,143,472,689,937,984,301,680,396,710,675,395,
563,361,292,268,279,929,947,309,730,689,086,147,654,449,585,223,184,239,853,
178,515,633,644,608,648,589,929,320,825,490,794,458,209,511,797,230,515,694,
831,094,473,447,579,524,138,296,327,019,472,005,317,872,979,040,530,109,571,
681,067,265,630,308,516,651,402,853,990,643,209,656,499,497,946,728,682,478,
281,298,027,918,918,603,960,149,578,195,595,250,777,787,695,495,507,717,475,
047,594,242,995,773,814,733,974,179,045,748,243,118,562,836,625,000,893,093,
894,112,706,209,653,631,144,293,422,230,001,485,688,230,650,487,314,188,760,
082,140,066,852,184,683,778,319,850,276,662,256,446,604,083,533,119,260,456,
429,029,877,854,574,895,949,448,703,074,473,202,562,083,107,384,614,635,284,
181,536,668,457,722,052,905,451,790,531,709,463,456,838,820,570,185,138,944,
550,337,138,447,958,665,824,407,809,494,064,319,339,396,686,015,806,571,210,
091,686,441,053,758,234,444,520,508,839,408,138,087,403,110,899,762,841,007,
978,742,973,613,643,723,944,146,453,119,595,152,471,986,745,763,490,094,112,
786,468,186,394,517,262,049,189,888,639,349,243,529,362,785,657,141,347,491,
465,858,331,022,170,111,889,366,067,943,147,274,541,082,486,189,912,078,001,
152,304,298,674,551,763,212,873,144,654,009,613,883,465,077,386,497,154,894,
319,957,837,309,254,951,108,977,051,929,387,673,357,225,254,797,686,004,698,
062,913,971,046,735,091,645,162,645,787,814,880,626,019,961,027,002,057,904,
863,119,596,573,431,603,334,093,310,601,118,111,748,373,176,368,067,414,315,
436,111,919,541,894,242,881,181,171,722,826,372,383,132,239,182,154,932,417,
345,614,185,900,282,354,914,630,137,538,323,618,377,533,593,056,879,673,481,
851,568,333,135,233,891,065,768,372,004,879,159,529,582,625,154,511,475,827,
366,644,753,696,020,583,641,219,029,539,347,936,607,430,634,548,514,464,477,
623,662,425,475,504,990,699,681,701,523,200,464,997,938,541,645,746,221,993,
978,774,719,193,342,235,870,559,821,128,910,481,962,178,412,986,155,615,209,
623,023,499,813,547,057,417,690,326,822,532,723,511,941,997,167,304,387,237,
268,156,959,711,692,441,109,089,122,520,442,585,980,047,344,666,740,265,332,
619,587,915,499,648,500,105,429,712,979,229,167,011,478,523,199,688,086,310,
887,710,359,711,750,681,773,956,621,625,583,765,577,987,065,705,907,211,757,
291,243,706,954,727,678,736,332,819,126,603,541,216,071,556,469,038,184,052,
475,582,014,988,677,123,893,495,665,308,623,742,849,972,883,901,246,073,900,
785,392,494,529,243,490,763,212,038,238,590,083,719,372,074,902,591,845,342,
469,862,640,025,296,100,541,078,160,251,812,843,067,477,594,953,131,345,699,
348,140,149,412,802,697,455,196,025,011,653,768,383,296,654,068,702,046,828,
003,482,150,237,014,331,338,657,159,437,642,181,726,310,300,964,546,333,950,
984,482,066,688,390,474,260,084,059,723,984,461,946,609,309,556,156,496,200,
976,965,112,664,574,080,215,113,213,473,532,737,335,673,684,466,936,154,102,
151,100,340,890,887,515,128,368,092,749,722,156,344,422,591,090,801,639,980,
485,349,556,468,296,243,887,736,949,430,063,102,803,273,701,753,335,046,304,
613,113,779,361,041,697,838,937,229,936,894,271,777,326,848,153,469,881,014,
990,469,431,133,495,614,468,041,133,033,320,122,918,523,707,866,657,809,902,
977,099,935,397,298,433,787,623,702,221,883,685,235,211,810,487,528,549,091,
389,650,038,501,789,370,085,914,752,624,807,908,540,458,537,577,762,018,986,
313,211,018,288,117,830,828,024,170,708,539,417,823,376,591,713,157,281,119,
482,638,683,679,595,215,732,496,878,845,038,400,666,612,044,404,229,323,054,
233,757,568,968,798,616,897,904,139,428,966,456,696,454,159,954,846,151,947,
891,601,595,338,691,917,836,551,739,133,067,714,411,568,748,010,734,339,157,
798,851,735,588,850,215,099,033,794,229,447,225,159,880,018,802,195,566,380,
815,556,515,193,888,698,130,144,830,201,496,730,278,584,592,335,789,019,658,
865,163,208,971,443,741,070,996,096,018,686,900,837,312,100,452,253,021,145,
736,882,603,138,346,654,096,067,439,778,077,049,898,845,697,196,559,212,501,
200,925,774,038,020,064,183,971,421,874,782,939,222,559,481,592,848,351,260,
509,915,680,180,150,216,900,733,706,773,471,891,232,861,403,932,679,226,212,
995,405,903,905,560,373,250,349,235,734,323,013,301,439,793,045,981,792,594,
341,213,753,174,533,199,265,708,501,026,857,296,222,445,802,710,404,145,431,
735,050,487,981,197,061,360,866,875,194,346,272,519,440,457,229,929,330,251,
439,199,113,621,848,117,492,405,445,291,375,226,985,907,381,927,885,076,120,
011,072,737,200,348,321,798,234,943,216,481,960,085,354,531,912,238,735,815,
160,401,114,769,787,273,937,667,136,256,258,771,623,595,616,487,449,416,346,
519,309,175,235,671,383,860,686,789,618,963,480,687,289,627,948,287,645,658,
545,176,104,527,177,157,926,977,634,159,920,171,360,354,927,389,784,972,588,
280,898,084,210,719,855,488,218,663,213,057,056,215,998,541,346,306,568,637,
516,726,378,726,684,429,602,160,256,501,121,994,749,442,139,032,953,755,852,
603,231,281,120,856,526,242,079,236,666,373,609,168,151,788,273,912,255,576,
517,057,633,119,126,608,330,190,529,128,363,780,436,269,723,195,247,428,084,
580,927,651,184,095,983,235,396,874,672,290,879,144,155,507,631,029,621,423,
305,301,754,645,635,907,987,103,609,225,605,703,697,430,735,960,290,796,816,
535,408,289,931,896,683,372,947,335,868,222,138,901,196,794,129,348,115,195,
239,424,924,563,272,945,632,551,283,970,318,244,987,884,543,906,533,752,597,
437,654,013,083,759,528,291,448,501,192,690,207,637,425,714,681,015,515,903,
170,944,310,058,603,381,577,305,889,661,126,445,909,921,456,765,205,882,076,
072,285,864,577,130,368,036,740,424,538,125,450,707,959,113,883,636,531,306,
659,638,225,754,886,991,330,638,893,794,146,456,935,851,600,684,456,720,393,
216,998,554,036,237,769,946,889,173,158,722,632,561,729,165,164,047,734,680,
987,099,046,054,391,274,380,671,128,143,870,590,918,869,211,159,477,884,497,
163,507,183,544,409,998,588,926,899,888,549,171,618,640,818,432,682,991,828,
308,243,753,845,765,586,464,715,043,850,143,931,110,711,591,224,670,380,514,
547,594,094,193,135,357,607,805,408,624,290,336,511,004,000,097,702,545,628,
746,872,948,611,204,283,496,287,505,468,589,860,453,208,626,161,910,311,375,
755,297,135,417,052,563,852,712,692,723,218,215,160,833,955,679,112,867,853,
762,760,091,161,248,910,094,615,468,715,639,163,530,920,955,016,135,887,774,
079,546,288,868,692,974,909,185,406,058,421,329,846,450,536,363,061,543,186,
443,939,293,992,262,561,603,260,458,985,748,833,545,111,975,771,779,110,442,
407,756,775,289,884,471,686,758,325,156,292,682,633,484,469,827,366,602,208,
764,947,578,523,872,921,894,611,602,939,468,387,645,457,249,212,689,210,605,
370,777,209,713,792,814,937,838,410,176,054,376,321,090,443,890,280,239,518,
119,562,978,409,293,549,493,444,552,084,879,629,786,281,225,438,084,018,222,
982,768,702,584,637,588,760,526,061,422,801,816,792,923,478,738,402,284,225,
533,097,946,563,730,911,930,714,892,478,154,026,096,035,927,344,039,525,178,
030,693,065,187,570,352,275,639,517,396,275,300,877,014,024,844,736,355,160,
220,596,711,570,497,851,415,328,924,841,196,212,011,927,075,797,026,576,655,
891,471,074,519,891,500,347,810,779,408,763,127,990,844,384,528,295,552,801,
990,747,994,979,451,303,731,585,626,237,833,157,938,334,637,455,608,584,457,
380,431,237,657,034,570,313,059,642,161,499,148,727,468,459,441,241,524,010,
883,889,176,627,118,150,744,440,413,773,110,922,551,198,683,788,679,804,630,
992,927,248,731,818,153,796,043,976,628,378,739,102,326,801,245,391,298,142,
371,238,822,372,749,827,168,538,384,013,670,314,061,344,340,997,007,899,369,
791,657,762,851,002,147,115,730,476,156,578,950,639,069,988,552,922,214,496,
979,836,657,499,557,849,454,304,178,718,623,179,466,225,873,359,528,486,606,
717,490,988,384,546,204,043,976,763,344,016,384,209,624,836,445,112,704,701,
042,259,711,416,037,251,476,912,362,076,940,352,205,212,070,371,503,981,070,
963,200,038,457,629,134,544,005,022,835,663,031,607,875,167,126,672,574,024,
279,245,076,082,341,576,147,828,856,907,274,683,342,732,142,853,080,549,879,
887,769,399,660,192,747,681,452,216,318,570,697,246,131,949,298,267,738,831,
879,771,735,630,670,404,305,585,690,892,080,561,455,441,068,081,631,949,259,
607,114,254,378,402,717,149,467,868,905,768,958,742,549,552,990,856,844,838,
487,271,737,867,667,132,312,092,169,592,892,921,275,259,274,465,651,507,982,
184,074,351,817,279,837,515,475,641,851,904,761,361,191,229,663,916,940,325,
581,551,479,157,166,215,689,403,562,285,340,314,974,500,000,250,475,239,801,
513,456,105,534,590,604,183,132,590,868,107,987,193,024,096,868,872,527,601,
303,189,698,341,867,745,187,894,026,008,997,437,427,090,753,954,043,918,418,
690,556,157,468,617,556,620,694,403,786,858,446,802,116,551,482,319,343,202,
580,447,666,745,814,074,829,989,762,177,945,016,388,077,775,427,852,256,783,
961,494,792,237,155,207,112,145,887,659,600,989,437,782,208,260,620,077,798,
219,348,724,195,311,673,634,016,570,847,508,917,943,128,529,839,754,030,349,
460,868,393,097,364,550,427,123,305,141,492,921,258,811,344,484,053,348,184,
852,338,914,674,625,337,244,880,957,196,529,355,537,211,572,912,947,105,005,
114,327,285,992,348,867,098,258,518,918,956,612,882,860,584,998,067,084,190,
971,628,896,037,687,360,723,888,175,028,849,114,476,595,549,831,882,850,272,
173,497,721,026,437,897,553,099,082,279,743,166,965,763,991,885,780,347,477,
135,470,506,752,135,004,856,285,960,389,482,406,075,282,648,402,372,012,216,
268,165,575,593,711,754,270,557,061,701,609,674,242,863,323,733,927,858,334,
507,785,435,334,404,963,591,705,627,271,912,154,887,211,393,451,900,581,583,
680,532,380,241,529,836,786,428,612,367,399,915,894,348,555,560,734,520,317,
585,461,468,184,759,101,559,692,611,862,997,038,641,191,714,161,217,993,169,
275,437,684,093,133,151,647,751,747,402,434,560,867,198,890,243,087,217,107,
901,524,685,446,691,785,111,452,995,644,067,689,476,497,667,268,259,843,118,
297,559,600,484,370,732,945,780,385,225,786,379,105,728,814,521,153,403,842,
279,382,493,953,914,137,738,017,941,392,476,599,319,304,721,871,436,997,899,
179,369,036,384,966,701,722,175,558,891,567,320,588,816,910,778,778,142,446,
108,598,008,206,010,082,811,438,430,567,177,287,555,853,390,700,710,633,443,
361,030,572,508,248,189,540,556,591,045,886,964,461,305,816,206,319,199,055,
135,727,900,469,688,992,180,352,291,156,208,470,132,883,971,401,761,576,210,
254,565,989,006,986,006,873,196,680,181,888,645,521,502,604,518,054,543,738,
680,734,484,793,085,015,553,041,873,960,766,868,120,767,956,149,594,864,623,
997,464,398,157,768,696,586,056,501,697,129,436,063,641,343,466,744,476,089,
018,341,122,384,176,161,946,445,238,686,588,117,775,203,387,994,998,656,379,
312,606,726,572,377,563,296,459,747,361,606,389,903,740,621,114,788,455,030,
375,105,099,263,749,894,847,280,767,029,095,956,352,230,910,692,069,936,684,
169,796,117,799,610,238,555,774,153,388,059,834,444,907,901,486,739,362,048,
564,066,901,993,958,577,656,751,672,101,012,608,225,229,189,571,665,168,309,
641,694,655,851,495,448,600,487,314,037,083,211,137,564,713,341,087,019,460,
616,137,861,746,663,020,772,199,794,876,412,692,840,841,373,693,155,577,586,
886,791,570,696,417,918,860,639,521,913,716,918,682,844,077,282,644,813,739,
751,495,622,491,356,897,561,115,698,970,519,665,296,870,278,228,390,036,057,
425,452,436,702,649,805,128,243,472,493,725,877,657,206,063,892,269,596,515,
092,609,468,340,807,617,168,021,199,208,965,931,617,246,935,139,356,993,523,
495,415,668,186,266,904,022,406,519,868,561,828,741,113,088,785,449,623,802,
224,455,099,437,210,223,290,306,353,178,147,915,125,652,859,121,113,784,330,
607,883,168,188,852,020,335,029,986,697,673,778,259,047,716,624,424,945,711,
716,383,195,938,656,166,525,416,946,737,177,766,982,852,094,491,401,828,743,
437,109,894,762,188,812,910,448,419,181,076,123,431,481,110,777,920,227,439,
888,444,876,939,327,687,390,491,454,886,356,515,667,526,772,008,160,279,266,
012,762,307,524,125,861,616,719,203,213,442,457,766,935,095,221,597,539,612,
997,925,830,491,884,370,370,407,123,121,805,147,582,467,178,931,779,919,854,
561,053,067,215,404,562,179,176,359,761,591,162,845,772,732,801,508,818,271,
662,901,677,066,543,593,072,485,713,664,871,635,121,888,013,142,859,261,808,
671,770,053,762,137,864,920,167,031,630,470,849,653,253,574,539,372,337,522,
262,837,278,106,617,646,372,804,346,305,627,957,349,266,976,067,797,202,354,
444,227,697,132,593,923,713,974,271,171,892,238,462,671,734,362,184,686,637,
693,839,816,628,597,290,127,370,268,092,628,864,281,382,597,789,872,172,839,
799,841,404,562,494,254,680,674,174,926,771,105,985,430,167,527,806,331,985,
141,217,126,692,316,018,462,097,953,764,663,372,899,107,489,027,596,635,162,
279,146,767,179,662,728,663,062,525,534,738,559,886,107,353,203,376,942,470,
292,024,736,050,321,024,923,058,933,342,090,848,288,267,571,836,168,195,770,
879,398,441,894,862,544,748,711,178,011,199,025,143,637,466,307,253,581,375,
192,069,080,585,557,999,481,319,505,646,466,735,816,552,573,480,834,612,372,
195,984,726,422,094,186,677,691,174,850,459,159,522,535,643,509,267,121,368,
549,600,811,018,959,791,233,629,479,902,394,754,614,782,557,887,681,992,638,
273,809,944,942,098,229,398,859,279,690,883,537,745,905,080,323,617,162,432,
140,118,661,152,535,328,454,971,788,932,976,822,039,015,416,795,036,653,211,
282,590,822,312,873,072,457,529,601,656,641,857,018,222,524,649,871,308,083,
848,792,479,169,479,245,447,147,431,576,512,668,879,257,573,863,768,373,891,
734,236,854,338,329,088,757,813,842,959,248,765,445,888,461,477,096,424,324,
070,897,975,348,847,532,003,738,679,928,732,707,253,334,712,512,060,690,883,
829,072,779,769,149,046,896,771,730,596,285,980,822,445,225,360,852,164,963,
312,264,294,001,965,469,308,704,327,205,681,996,677,675,940,965,596,653,601,
494,167,941,219,210,344,577,557,238,293,276,272,640,678,475,109,700,834,166,
379,217,961,346,252,970,749,783,159,728,951,681,682,396,099,755,243,702,802,
603,264,581,005,597,274,826,843,954,945,138,876,655,933,438,240,536,460,354,
840,057,935,220,808,120,720,759,913,337,529,808,770,245,526,591,298,039,385,
407,798,590,559,130,288,969,433,455,133,130,960,216,350,190,696,075,480,696,
346,176,944,716,287,027,589,790,128,633,564,006,119,761,664,564,244,795,527,
039,624,843,980,313,930,236,667,901,535,784,942,720,617,173,080,540,797,426,
184,364,851,926,578,626,131,717,649,243,112,113,688,600,207,854,642,418,922,
754,834,645,830,882,237,630,576,318,719,446,616,546,979,757,374,900,865,623,
454,872,371,705,544,241,340,906,863,947,818,988,168,838,602,108,009,992,253,
274,705,051,036,713,676,088,106,894,916,920,845,348,984,103,363,265,742,130,
043,742,942,247,459,865,166,337,709,549,737,164,415,447,365,306,816,652,618,
169,940,482,877,645,156,606,908,018,627,006,635,700,501,890,950,889,104,834,
824,276,582,311,359,720,171,967,227,535,052,473,433,922,427,159,400,277,988,
623,308,665,511,142,718,769,726,173,037,130,846,754,371,344,647,487,166,923,
298,048,529,936,808,234,496,937,335,225,587,664,611,962,958,586,164,647,213,
195,950,693,041,874,332,265,830,464,041,171,611,815,457,645,999,522,363,650,
780,048,588,162,688,524,262,924,003,824,216,228,491,827,426,085,399,792,401,
159,122,360,094,193,098,070,112,687,305,538,056,087,333,234,593,821,881,372,
177,577,986,729,604,394,708,959,237,621,381,947,600,207,119,035,518,416,490,
852,139,209,687,459,157,919,450,974,202,548,340,705,128,907,308,582,211,768,
175,981,741,889,195,402,941,938,199,754,553,274,821,869,296,897,797,232,249,
981,802,628,448,030,643,694,049,493,015,457,935,449,280,349,354,281,682,644,
140,106,536,018,488,347,472,183,636,736,804,716,086,967,869,820,273,035,955,
894,118,890,732,482,485,937,962,836,983,641,455,806,254,623,997,693,968,087,
046,795,496,761,723,405,011,848,310,054,976,486,916,854,943,660,338,926,331,
036,517,900,839,822,103,237,286,804,005,153,708,398,168,136,381,228,598,178,
637,495,709,139,802,796,808,687,030,860,065,485,095,134,769,026,286,635,315,
016,802,499,180,763,334,261,330,331,882,019,879,990,745,079,700,858,959,601,
656,094,784,438,036,838,607,858,606,390,093,208,380,339,849,603,039,553,867,
331,332,506,403,244,066,568,642,236,705,312,913,525,540,853,822,938,050,352,
112,385,290,358,876,535,381,313,907,021,218,427,315,772,574,754,357,681,849,
539,162,081,513,308,552,981,999,102,221,439,656,668,643,221,745,927,983,689,
429,712,559,602,052,207,332,599,289,496,050,047,535,204,526,764,377,746,332,
328,697,035,225,620,445,118,781,924,849,592,510,072,279,523,930,989,579,568,
833,166,805,253,092,705,157,689,689,177,977,061,682,183,492,367,987,812,947,
324,674,113,226,168,972,898,777,612,459,504,534,138,630,212,991,377,177,187,
771,474,635,622,279,611,304,637,993,617,741,922,438,790,634,425,372,715,715,
244,322,277,146,037,471,796,754,318,301,227,020,837,733,154,597,482,727,478,
564,265,475,267,346,953,981,548,635,477,252,952,212,508,802,776,166,578,138,
150,441,556,970,963,483,725,815,828,137,497,598,781,237,109,349,193,661,092,
182,244,403,516,286,684,933,661,217,254,129,034,646,702,209,576,426,464,345,
315,370,248,537,018,826,730,872,341,558,948,612,586,316,401,381,397,110,940,
309,717,327,329,720,367,005,409,747,300,016,978,007,757,704,491,659,532,872,
792,021,863,254,600,888,765,382,198,761,573,799,038,982,716,120,354,094,669,
994,151,010,633,997,519,414,498,795,288,062,854,955,650,653,751,103,765,415,
935,230,964,320,752,281,579,157,424,738,023,228,116,959,560,989,101,338,431,
779,364,148,475,641,781,359,106,801,849,763,810,074,481,235,359,388,889,787,
723,618,959,516,951,204,730,442,258,308,252,703,490,008,335,490,104,583,494,
017,141,338,632,479,489,318,650,387,964,088,816,219,959,094,946,899,492,535,
709,884,941,024,900,877,485,244,488,697,398,446,301,049,634,940,493,620,618,
694,377,153,997,435,107,104,937,248,528,400,083,696,554,769,439,641,277,157,
992,440,406,670,620,483,921,238,150,354,904,200,610,891,201,471,727,695,934,
093,298,613,839,740,355,287,117,435,159,169,329,041,952,041,479,787,967,097,
478,839,685,550,452,488,002,714,324,491,157,476,402,919,691,760,694,936,432,
918,440,954,789,045,599,415,214,716,782,269,584,113,517,301,618,269,415,402,
770,953,671,386,339,917,622,006,745,574,556,900,460,406,648,388,514,151,693,
517,264,228,503,360,714,195,165,761,822,446,168,353,022,445,613,234,402,085,
749,977,191,146,353,800,677,328,423,289,659,784,189,300,348,153,231,116,178,
171,560,749,700,195,970,498,782,181,029,067,966,234,101,908,497,693,372,354,
373,553,572,627,849,578,254,600,653,640,364,189,286,933,135,756,635,078,036,
932,475,978,884,862,908,034,851,716,639,754,660,052,915,007,283,007,860,910,
704,103,771,000,553,947,225,101,140,921,517,162,975,567,986,492,865,737,628,
843,606,944,587,181,036,678,761,987,386,047,344,363,853,612,515,166,853,868,
352,939,138,135,278,611,011,166,572,833,905,548,514,103,399,661,336,543,571,
721,023,776,266,442,549,128,540,814,801,404,043,945,444,501,375,336,076,974,
730,840,622,392,894,285,660,954,650,584,404,315,692,396,509,688,641,838,616,
376,947,229,948,110,107,032,195,126,956,177,676,495,432,302,728,185,075,314,
377,087,805,042,268,563,397,700,598,836,956,520,676,030,407,972,116,054,327,
859,460,171,773,094,757,183,039,779,399,062,061,892,976,162,045,860,356,953,
576,868,318,515,943,787,697,850,481,065,457,377,258,122,972,345,876,303,134,
692,715,826,506,615,983,584,115,775,420,265,769,311,271,942,231,454,170,206,
801,302,609,636,591,174,768,877,571,591,334,681,566,422,083,234,987,059,139,
451,859,393,152,291,813,474,759,953,923,660,256,961,487,303,384,563,920,088,
805,365,377,637,205,119,530,732,506,685,457,316,371,823,564,499,868,697,887,
832,299,749,621,878,594,654,455,237,698,834,355,732,252,058,202,549,668,965,
340,327,032,625,509,412,292,862,957,198,994,637,555,433,724,681,120,311,517,
012,682,613,774,324,349,467,726,423,938,975,226,740,022,824,999,157,202,437,
301,661,941,810,589,571,792,276,449,134,762,602,691,840,369,787,459,391,242,
888,442,262,456,415,881,883,103,643,786,815,690,421,012,556,603,564,781,955,
959,517,906,917,098,007,375,815,345,601,191,692,415,577,358,395,903,246,422,
752,611,529,895,150,168,398,709,661,095,408,106,413,701,779,720,583,651,398,
490,217,022,785,821,241,326,966,144,661,966,148,910,608,467,961,075,180,377,
617,655,749,033,049,016,522,817,968,659,581,052,446,694,061,234,708,831,395,
459,139,647,507,780,045,900,973,421,555,015,991,082,036,013,520,322,017,596,
669,643,347,836,258,119,408,268,797,756,277,037,436,801,000,551,130,621,123,
293,679,544,760,031,196,563,794,113,343,683,533,546,186,626,370,457,860,341,
523,312,290,344,162,606,567,923,211,447,543,571,606,015,886,653,086,591,669,
672,043,200,659,441,483,467,879,269,542,188,126,966,400,103,674,980,287,518,
369,087,617,718,905,125,170,975,755,534,662,931,723,898,591,830,751,631,865,
726,604,070,124,845,058,939,320,189,485,719,694,515,574,199,583,411,225,102,
900,483,136,150,935,146,393,089,700,702,358,942,921,376,346,563,726,128,453,
790,955,353,915,273,841,093,749,104,987,365,164,663,665,807,607,062,389,971,
620,153,225,381,450,255,667,279,449,842,764,699,974,583,536,253,476,905,020,
617,167,335,481,957,500,388,346,116,903,523,284,492,884,440,227,214,837,277,
645,985,982,211,042,795,999,826,554,983,420,387,544,596,936,996,258,152,831,
907,591,833,312,963,163,543,941,300,018,456,760,862,492,019,856,124,593,725,
973,622,531,009,859,901,591,319,684,673,071,637,668,452,413,646,767,879,798,
706,556,986,998,689,810,413,259,393,048,942,670,947,739,927,072,053,886,365,
646,047,429,135,359,007,319,506,617,714,555,922,452,070,629,480,013,778,318,
538,284,269,825,020,491,765,094,713,805,455,732,709,133,920,128,493,599,831,
470,715,193,548,314,711,544,965,191,077,023,839,367,953,046,389,038,878,517,
647,148,491,239,488,631,230,316,609,674,723,716,698,991,034,465,663,107,007,
295,121,528,251,867,389,572,319,331,305,036,298,293,780,588,733,163,205,635,
005,091,734,656,017,795,408,498,401,500,488,442,169,924,901,964,553,909,277,
695,908,459,940,451,185,564,841,024,868,718,652,884,787,025,229,420,053,355,
081,672,627,212,120,923,757,480,179,089,781,112,542,428,109,268,405,487,029,
415,997,119,667,807,029,737,631,212,317,163,471,593,508,470,837,307,992,863,
126,340,951,244,059,341,132,729,230,730,265,061,938,726,154,648,573,015,480,
066,699,135,435,123,423,308,118,881,959,654,834,109,074,816,002,056,476,840,
687,906,265,499,662,081,132,114,039,143,759,199,576,023,038,197,992,854,070,
023,646,568,121,235,382,734,491,414,314,191,556,616,670,071,367,631,822,067,
618,399,641,500,966,165,616,837,320,058,426,684,671,531,903,398,677,090,778,
474,342,735,299,367,454,448,793,881,107,166,082,293,794,159,178,545,322,313,
089,617,782,797,979,201,286,389,033,920,045,602,483,663,435,022,725,229,604,
255,876,357,937,117,077,868,242,399,661,629,625,506,180,161,413,750,038,730,
204,048,382,641,481,695,293,418,394,130,991,569,827,226,461,108,372,143,668,
327,970,012,144,090,993,168,643,001,307,831,462,125,178,124,746,164,171,396,
497,852,251,398,392,658,313,887,506,786,942,403,514,207,259,840,991,043,685,
729,113,247,440,797,690,946,846,911,982,426,906,126,745,880,445,059,331,154,
994,631,677,445,569,759,183,734,696,288,060,058,706,515,292,726,440,022,919,
603,010,399,223,062,625,663,137,429,289,834,929,434,913,588,911,981,571,696,
553,385,817,131,811,806,178,200,569,914,735,780,686,076,566,003,135,765,895,
594,973,323,945,774,575,680,670,228,752,452,384,607,532,328,172,457,914,428,
232,710,169,843,561,366,281,561,627,842,256,964,898,126,615,519,140,778,946,
868,568,123,903,095,927,581,241,534,725,110,413,607,962,017,420,133,897,057,
197,779,760,299,862,861,621,136,989,851,355,888,990,340,727,235,099,687,045,
637,284,693,329,786,929,157,449,088,709,110,391,696,270,332,843,416,025,625,
546,348,980,257,170,438,914,728,793,691,013,695,862,868,135,974,891,669,571,
408,794,059,953,468,559,024,116,694,879,410,184,499,199,094,562,075,975,190,
088,872,666,505,058,584,826,223,984,299,642,953,130,966,357,658,036,969,951,
085,400,196,375,801,756,820,441,617,549,117,370,615,806,312,523,612,792,425,
698,289,589,181,107,950,438,415,426,884,728,030,717,284,308,686,479,257,255,
750,208,260,857,909,640,483,334,932,006,726,323,889,008,188,334,269,900,486,
449,176,473,103,177,964,333,749,648,674,218,145,223,590,951,544,550,765,469,
430,268,348,538,529,669,565,098,398,944,425,702,532,598,634,193,751,795,665,
728,205,070,710,487,674,705,721,847,649,484,045,865,447,382,552,635,164,338,
521,898,382,142,874,823,438,739,668,248,362,783,391,060,622,308,466,930,466,
478,126,393,768,362,936,474,492,636,927,068,392,313,451,908,338,667,389,775,
080,754,814,311,110,346,894,232,263,901,940,880,038,419,959,964,133,885,428,
758,156,191,766,493,103,476,786,336,219,437,709,492,647,793,600,298,507,462,
018,918,392,351,450,049,599,746,708,049,752,826,757,976,600,123,204,115,861,
150,236,035,991,231,308,279,247,681,435,226,384,167,611,947,224,854,607,181,
101,210,120,004,404,358,366,736,500,635,269,569,404,477,369,817,228,492,827,
126,566,965,262,087,228,689,376,735,424,994,180,276,490,758,080,701,230,974,
574,256,258,915,861,990,524,978,688,814,463,267,927,021,180,405,044,374,893,
448,613,813,087,718,639,515,151,810,382,445,731,980,881,294,977,455,641,251,
023,529,305,521,639,418,253,059,098,098,816,625,433,739,125,747,985,367,816,
133,626,784,558,377,519,428,866,832,283,002,406,139,662,405,383,685,200,758,
752,887,413,726,575,573,512,789,724,300,999,159,232,350,129,957,379,474,353,
309,800,871,301,233,668,937,404,891,927,052,517,526,527,927,584,207,005,499,
606,788,851,256,382,067,291,818,800,189,340,683,154,421,329,547,307,199,007,
003,941,076,510,615,382,916,759,341,540,533,681,603,423,189,168,559,543,451,
723,424,481,094,631,937,879,297,088,268,328,304,062,397,308,961,997,142,185,
538,485,560,825,827,850,593,861,039,383,739,570,509,046,225,152,033,939,937,
363,435,947,325,516,867,480,946,790,144,017,050,400,097,185,176,883,397,126,
390,331,808,290,625,007,035,407,116,490,575,108,734,762,130,264,366,621,792,
155,470,504,427,077,675,563,865,535,276,344,898,943,547,264,327,704,001,028,
015,661,538,732,525,410,707,027,807,105,162,020,310,368,614,671,728,867,276,
742,972,185,885,426,997,766,588,671,028,093,735,139,049,803,276,573,877,660,
127,792,000,122,839,639,666,498,578,856,281,766,996,349,097,240,032,896,800,
120,587,776,856,837,576,297,369,958,697,189,754,371,659,583,709,175,963,143,
003,772,142,028,021,601,075,161,846,595,056,263,197,093,118,053,362,441,805,
881,145,332,267,879,041,525,047,126,960,304,854,514,321,665,227,687,265,619,
606,010,441,442,419,775,211,381,832,008,684,340,377,596,580,710,547,096,336,
566,762,941,832,973,549,255,422,521,075,253,191,979,632,118,576,288,228,757,
148,831,755,908,243,125,978,962,943,268,913,037,976,150,537,278,419,947,886,
761,312,147,264,224,424,626,302,596,732,574,751,428,354,858,546,068,685,620,
294,318,079,028,004,167,111,454,296,256,915,852,069,187,092,050,239,738,144,
911,863,766,860,330,530,932,758,935,361,160,386,556,346,044,723,556,041,613,
637,790,739,375,527,729,203,242,068,605,381,194,089,854,121,246,038,821,939,
200,301,626,356,495,993,133,755,963,782,375,809,189,010,668,073,087,173,114,
497,757,413,231,118,698,098,470,219,254,572,030,909,831,058,983,167,474,094,
743,572,893,384,191,079,679,049,129,307,267,446,463,206,720,173,697,596,312,
762,675,769,142,638,695,600,466,258,667,857,187,273,382,280,953,506,484,266,
322,997,177,447,913,420,513,910,257,714,928,591,014,677,257,074,278,995,134,
568,527,572,964,677,781,237,175,953,606,214,002,482,164,387,150,393,249,215,
286,068,112,577,833,755,417,515,913,504,279,995,853,040,462,087,888,207,652,
437,398,419,302,935,962,536,351,394,821,403,650,975,262,084,719,191,175,151,
015,973,561,889,129,217,414,711,853,183,413,610,362,632,997,262,407,317,404,
128,880,998,974,785,407,872,439,560,338,067,660,163,995,137,770,225,921,480,
511,056,582,747,800,627,363,761,604,826,223,916,257,869,052,414,095,378,332,
228,618,930,043,890,041,366,130,098,822,398,840,172,061,731,250,772,954,777,
777,809,004,112,718,232,289,005,347,817,699,229,820,886,817,661,206,020,699,
952,438,761,206,907,415,184,242,150,093,347,592,824,102,629,623,254,559,744,
792,806,422,217,461,223,041,715,097,262,838,121,004,539,855,236,856,222,983,
341,007,077,275,906,761,360,227,466,047,772,201,064,187,720,630,169,771,727,
050,980,594,832,037,757,740,605,364,730,242,012,683,207,460,811,092,369,642,
482,406,558,810,494,841,620,156,036,052,862,909,931,276,824,238,912,157,103,
842,820,000,750,524,496,427,286,930,237,934,849,570,161,008,938,927,104,847,
342,919,556,598,381,054,147,449,052,363,779,479,068,846,025,568,126,248,312,
172,964,437,155,804,518,262,531,799,265,235,666,904,802,395,533,212,798,838,
801,749,615,321,492,180,096,174,472,477,182,929,971,555,147,292,244,572,931,
037,265,313,637,964,026,084,321,912,899,133,149,287,579,324,308,694,697,338,
885,310,899,778,013,091,304,878,148,193,358,117,390,114,754,735,521,445,171,
105,258,210,048,284,685,254,859,674,068,898,576,985,510,149,251,066,505,766,
344,520,371,038,500,495,845,505,860,476,160,570,649,937,544,522,347,073,849,
584,599,249,002,264,159,900,563,554,997,589,554,576,510,338,163,255,327,472,
336,520,204,246,966,224,344,900,486,755,763,039,853,422,034,633,066,133,529,
459,790,672,006,313,075,948,694,497,251,422,238,635,712,707,272,445,988,707,
771,311,618,088,983,119,203,735,033,073,223,071,574,940,951,966,404,856,900,
072,040,934,215,871,396,305,382,398,045,566,994,495,466,345,725,898,823,744,
478,688,147,730,616,908,134,341,605,737,786,622,187,934,907,040,950,876,382,
387,608,097,200,103,279,023,822,731,970,889,117,111,880,661,702,531,379,611,
190,262,409,502,871,897,136,582,999,959,351,826,165,460,387,932,738,707,195,
040,205,107,348,070,302,748,732,205,551,039,631,754,543,612,780,869,645,163,
670,067,573,508,781,815,160,918,356,443,295,797,481,564,676,895,751,913,558,
109,666,463,719,806,854,559,267,491,149,692,231,251,019,949,905,998,615,671,
068,453,151,802,586,882,999,438,074,739,665,975,184,718,407,622,038,314,805,
096,186,159,361,656,393,406,210,842,820,602,033,976,656,235,696,252,926,889,
206,607,193,692,536,350,536,850,017,677,151,623,954,767,793,309,145,647,165,
421,627,785,226,700,806,852,922,078,647,487,685,880,659,974,363,800,582,652,
678,152,393,465,997,984,984,936,598,227,617,988,835,178,186,581,224,432,887,
928,874,594,457,287,419,941,360,947,366,179,717,729,208,812,055,434,948,424,
696,502,813,539,561,653,678,567,570,411,063,017,239,194,652,035,713,484,879,
181,914,175,867,026,292,460,016,770,001,154,838,386,522,840,894,312,207,307,
523,033,819,627,303,420,583,410,203,593,060,962,316,920,655,057,112,287,673,
083,051,798,609,834,729,568,075,172,583,726,797,316,456,929,486,403,029,005,
775,303,104,957,429,951,397,007,810,129,482,105,654,348,171,380,656,045,656,
499,767,142,179,842,783,700,911,404,548,992,531,810,745,865,407,655,396,747,
955,915,388,024,345,902,762,897,645,784,307,901,615,696,514,734,057,336,172,
154,773,736,968,083,591,100,721,366,060,336,164,308,416,394,038,954,591,770,
011,402,890,326,545,415,452,891,885,930,521,409,136,284,753,995,918,646,334,
738,729,336,041,191,588,297,359,043,804,304,626,018,741,609,901,269,039,858,
163,346,233,058,363,512,319,164,843,952,984,663,605,562,796,433,943,712,013,
387,378,918,205,246,413,311,840,895,059,982,827,271,601,565,257,334,214,256,
436,234,515,894,149,853,951,362,632,167,150,362,280,351,020,802,163,914,975,
128,381,552,862,830,800,964,575,741,985,143,987,438,344,182,213,874,229,068,
325,013,374,368,677,691,865,693,948,769,926,596,851,239,129,444,183,876,607,
957,233,461,854,886,115,229,397,595,901,851,157,247,856,302,244,289,052,902,
017,941,410,655,801,972,713,598,899,385,265,292,957,791,933,537,603,656,669,
208,424,588,353,151,732,051,240,582,788,421,937,873,066,413,838,159,714,642,
899,795,255,162,255,188,440,546,112,430,761,147,966,998,802,534,981,335,484,
310,282,073,845,249,111,492,085,245,750,082,496,039,501,167,505,821,595,532,
568,308,753,964,214,383,343,784,029,499,371,452,228,194,217,368,373,783,431,
290,623,864,221,965,312,066,552,513,727,892,785,518,904,200,942,573,423,823,
331,000,431,387,504,751,387,951,222,763,753,198,475,035,338,968,717,652,347,
900,231,602,466,913,784,829,786,512,909,796,708,341,255,198,741,181,450,393,
444,319,765,073,148,541,013,062,463,513,583,453,535,091,290,545,611,312,131,
142,191,392,072,358,527,036,461,386,304,221,519,770,888,265,018,839,323,874,
437,327,918,760,023,475,218,280,759,389,843,395,410,263,362,531,102,227,690,
282,207,635,054,037,826,888,837,757,534,004,019,935,407,309,647,831,670,851,
969,487,832,881,326,826,207,545,135,958,063,217,919,436,248,993,507,971,833,
817,055,043,933,537,045,916,518,506,662,867,558,815,947,728,093,633,549,875,
728,041,312,982,272,933,518,027,292,180,242,875,917,387,042,755,550,193,342,
418,965,136,318,487,082,957,431,807,190,982,349,596,251,496,617,322,594,327,
872,588,797,802,186,672,780,222,354,376,834,085,329,089,104,367,619,874,672,
909,784,103,820,290,948,170,312,626,243,425,852,903,018,689,098,841,887,634,
357,587,556,252,556,282,742,934,260,667,367,363,502,647,061,465,407,512,055,
431,571,328,422,430,555,068,966,047,177,317,737,650,448,759,076,511,714,655,
418,975,723,737,737,720,991,386,588,014,513,888,618,144,833,670,169,824,234,
269,569,834,351,181,804,800,626,482,448,824,542,600,285,598,836,347,645,530,
707,653,117,498,617,117,685,146,719,854,101,092,991,506,350,759,429,162,847,
154,412,972,505,657,113,317,213,894,482,821,799,314,947,232,341,569,043,809,
911,287,846,677,211,941,056,571,742,779,589,897,760,351,644,641,811,254,465,
278,376,456,738,625,331,452,449,170,514,481,315,895,058,867,305,042,092,831,
878,175,546,670,639,521,173,074,157,384,395,510,637,872,290,711,122,061,544,
815,247,453,903,607,148,286,293,790,437,637,461,667,089,714,355,991,312,839,
488,622,679,544,525,454,740,437,765,699,070,270,309,510,320,545,434,187,552,
627,910,136,220,392,697,972,109,956,540,216,714,058,381,456,593,616,422,796,
136,632,300,369,487,853,807,603,434,417,245,584,723,391,988,434,249,984,447,
872,948,393,767,480,995,096,514,587,934,732,557,795,370,572,698,458,741,460,
949,750,778,228,605,405,980,594,232,583,385,823,305,804,612,987,674,540,326,
297,322,688,972,879,670,002,140,994,645,630,484,484,153,696,179,236,580,538,
286,944,942,925,756,521,265,285,961,544,569,659,075,913,187,109,916,300,572,
719,591,151,979,599,025,721,975,170,896,903,701,227,803,563,671,074,374,277,
680,978,886,432,305,794,159,466,568,310,006,499,455,001,345,753,815,221,606,
914,632,946,755,026,009,925,830,786,097,315,687,250,509,126,059,986,032,075,
019,416,705,184,374,027,178,327,872,828,461,786,458,934,994,394,811,019,188,
522,180,281,267,482,814,774,298,106,976,608,204,432,504,321,867,508,734,295,
306,948,501,811,614,046,912,471,112,987,965,247,578,689,832,157,435,390,385,
514,253,687,677,365,774,272,549,562,388,611,377,169,818,148,178,571,572,153,
717,145,649,778,437,621,715,608,563,698,400,039,468,502,564,121,245,717,390,
636,553,055,409,743,503,757,714,326,840,332,464,566,914,781,698,214,030,044,
360,375,139,787,027,402,016,540,850,152,254,215,152,533,511,213,021,605,961,
731,402,119,780,708,883,860,174,816,077,139,648,450,337,079,362,425,006,579,
352,307,548,436,485,291,720,480,048,793,184,079,085,055,819,463,456,421,631,
178,044,813,420,143,683,581,414,686,168,164,034,703,573,374,163,063,472,281,
139,165,004,548,612,192,126,663,486,243,217,896,251,955,165,466,010,870,905,
377,939,604,573,228,655,874,560,148,259,921,895,119,010,110,433,023,806,727,
325,434,453,838,136,496,711,185,843,101,570,441,699,043,647,782,087,438,502,
261,668,719,617,654,682,833,178,135,721,141,044,666,683,952,364,449,937,616,
246,070,319,595,627,325,877,857,556,658,853,569,334,109,143,283,031,596,276,
842,861,494,348,812,434,825,177,557,770,759,145,162,783,984,796,913,602,763,
150,281,226,306,503,308,990,691,181,526,082,223,680,010,004,852,286,715,322,
963,998,298,281,826,975,619,906,795,331,819,985,253,183,183,285,531,597,452,
090,190,777,099,254,033,170,252,360,745,205,948,276,821,256,024,666,064,505,
541,783,085,181,213,308,065,101,907,365,787,406,117,413,333,639,454,020,094,
322,504,936,350,125,740,615,143,544,506,909,960,676,340,351,011,385,593,871,
438,169,762,512,159,847,992,359,800,484,943,104,800,576,167,339,613,722,289,
144,728,782,711,577,798,805,276,114,118,540,354,916,824,125,593,569,359,240,
669,118,643,417,526,078,285,860,604,054,299,189,781,917,109,702,112,569,572,
594,059,231,430,317,260,079,546,485,406,699,702,071,872,307,158,590,834,895,
250,916,582,912,886,852,021,169,953,465,292,481,873,357,765,314,261,391,088,
710,109,584,638,497,151,551,650,466,543,429,968,024,776,125,265,039,348,274,
254,302,132,369,979,349,079,318,856,743,610,887,040,860,977,103,845,039,774,
028,314,196,418,089,584,199,723,733,661,042,594,535,404,260,457,988,267,469,
911,724,715,417,176,829,141,527,023,068,008,279,075,885,985,316,571,217,267,
920,118,846,045,417,094,991,663,864,012,291,974,596,718,494,273,486,806,679,
058,277,460,442,923,196,145,948,211,296,129,554,751,857,781,007,520,001,761,
513,269,665,078,557,651,975,673,801,401,752,135,326,987,351,173,028,599,785,
220,213,040,637,661,776,554,163,550,720,215,904,803,328,882,889,443,954,788,
080,614,920,415,755,610,862,670,147,592,077,276,507,091,652,422,781,299,012,
446,565,636,898,593,139,882,264,707,434,428,040,079,681,167,619,711,600,211,
152,865,297,867,039,978,992,644,148,565,032,839,062,920,231,457,104,243,736,
227,698,821,496,338,549,698,496,920,826,768,081,181,444,529,469,682,453,588,
746,233,936,592,809,819,017,864,464,307,531,438,779,222,876,028,702,480,049,
922,673,495,094,852,534,738,348,569,528,593,120,014,887,047,349,154,627,689,
366,818,723,636,381,827,583,099,001,707,057,445,908,682,880,462,509,077,341,
702,163,747,318,897,055,209,580,445,579,895,163,988,517,476,742,825,540,933,
750,346,966,778,838,385,862,547,091,928,340,017,469,510,131,133,831,325,328,
237,388,097,192,779,426,765,632,094,924,945,418,462,365,110,119,313,037,610,
818,442,870,715,032,428,135,968,240,689,376,071,796,283,444,648,544,070,709,
019,310,063,486,270,265,875,971,542,012,754,366,990,956,077,182,468,177,837,
989,842,852,496,429,117,448,835,837,697,453,280,867,884,564,573,894,573,526,
532,940,850,019,035,701,714,652,074,364,455,194,019,531,033,743,123,212,895,
422,007,813,678,456,056,264,061,442,113,319,436,471,719,821,191,420,625,092,
584,008,546,039,212,780,115,992,529,748,310,501,304,754,752,461,885,869,187,
224,585,547,316,839,644,833,432,899,592,554,558,238,251,783,611,949,307,993,
213,699,431,925,213,898,278,635,353,167,062,687,564,165,598,479,770,237,943,
975,054,267,541,460,841,979,699,259,163,564,858,461,161,201,054,493,629,140,
950,543,965,875,217,845,666,326,528,058,872,468,133,824,567,574,805,242,936,
594,476,867,207,566,012,048,230,287,508,839,754,584,517,608,317,755,045,548,
491,670,588,265,566,894,494,918,688,776,864,487,759,353,893,121,908,409,941,
031,745,468,406,202,897,604,264,186,347,519,326,207,042,634,628,121,815,288,
397,239,170,423,301,361,882,424,300,152,142,104,367,163,664,740,288,389,362,
784,719,702,606,184,057,413,152,632,215,952,672,096,832,441,634,115,308,226,
687,508,542,409,569,311,691,719,500,635,449,974,092,425,446,036,682,478,653,
885,556,806,358,298,321,174,188,484,179,129,484,194,454,508,532,429,651,953,
137,680,764,130,852,381,887,442,800,639,397,404,608,921,826,017,957,013,649,
534,914,220,932,601,692,994,793,376,421,977,429,235,484,571,338,452,288,112,
341,264,627,171,112,133,016,461,859,664,486,842,783,440,736,849,166,342,603,
779,148,944,325,301,852,543,885,124,144,189,202,250,647,510,095,800,220,628,
173,213,515,947,796,902,097,685,409,037,085,420,022,136,210,077,188,179,324,
593,485,070,512,951,412,541,683,662,436,817,080,751,252,146,730,235,513,618,
583,021,563,558,993,285,213,543,037,360,683,496,081,720,538,933,550,559,515,
345,587,878,354,321,577,102,315,654,385,727,686,226,141,270,763,285,575,445,
306,244,940,211,671,672,836,896,142,421,386,904,549,892,311,992,382,940,721,
012,836,698,600,330,792,660,033,366,946,316,959,993,546,659,809,219,478,591,
609,229,335,133,479,489,463,242,079,627,157,420,467,531,903,138,780,005,056,
111,596,247,479,458,373,220,264,002,730,217,542,982,524,948,668,454,274,512,
899,703,080,229,224,144,779,661,138,501,381,072,138,611,803,601,015,537,460,
068,126,094,458,078,316,341,732,153,756,953,940,633,501,768,501,973,585,026,
413,997,444,317,383,814,358,993,239,809,688,620,343,868,954,391,857,971,758,
716,429,263,417,718,900,947,409,794,327,305,729,423,279,770,282,641,375,137,
356,137,365,489,535,181,475,423,341,392,023,963,810,194,286,123,341,782,705,
062,912,831,075,193,615,012,825,925,913,304,491,404,196,316,565,653,740,874,
826,006,041,895,527,471,417,047,877,276,702,128,037,794,492,581,122,482,355,
087,679,218,155,155,789,115,661,800,466,972,636,690,014,875,661,884,310,265,
968,485,415,654,122,070,458,165,549,734,353,106,562,327,985,429,916,563,171,
201,998,527,103,882,949,702,192,470,481,839,969,159,037,052,454,546,245,945,
383,478,223,878,613,357,924,396,213,434,319,469,218,438,375,437,257,873,132,
436,635,119,725,234,175,060,729,219,708,006,723,023,280,393,394,191,809,300,
459,000,630,124,324,136,271,920,219,135,760,097,161,098,326,802,313,592,366,
081,703,981,860,345,630,435,445,112,295,125,602,051,134,192,492,616,188,173,
755,367,495,935,341,064,110,037,459,749,180,746,797,769,655,995,754,692,303,
892,546,114,338,807,796,621,081,420,385,204,838,915,705,576,407,603,639,066,
693,917,501,846,192,131,981,108,647,272,676,865,133,540,287,906,359,198,896,
763,520,726,593,348,049,998,035,997,887,609,869,251,160,036,569,410,389,836,
173,763,359,368,988,311,635,111,653,687,649,427,556,941,977,968,036,497,359,
633,237,463,216,810,198,449,291,168,819,942,589,341,810,546,841,101,295,476,
952,427,581,648,746,711,680,740,312,086,444,034,253,099,277,687,745,341,120,
083,072,561,999,925,508,661,824,311,646,315,597,979,306,069,797,903,108,069,
449,445,448,268,138,402,219,701,810,886,457,214,772,899,968,227,623,436,871,
357,705,326,616,826,030,440,367,830,607,007,623,295,519,040,519,558,248,000,
255,223,943,285,011,030,887,110,584,718,217,554,230,289,756,840,295,032,294,
349,850,087,093,389,435,207,893,237,358,626,709,693,926,509,220,235,747,174,
276,938,676,340,958,515,510,128,449,435,619,819,334,011,583,302,656,121,573,
690,517,387,684,437,766,237,000,700,404,360,992,168,737,209,643,886,099,466,
730,845,906,521,023,791,486,083,427,846,152,907,734,615,594,261,894,282,000,
948,076,926,452,201,308,152,681,652,788,558,260,797,619,625,690,495,562,449,
489,185,252,083,474,753,283,221,034,662,502,447,479,305,356,885,097,990,939,
125,948,275,180,795,175,430,236,787,167,569,509,010,866,333,476,879,295,481,
413,297,563,313,995,966,132,191,551,074,127,264,546,229,934,764,349,219,151,
677,388,592,711,094,122,402,542,260,911,391,751,261,287,031,356,839,664,197,
342,825,422,451,476,875,947,001,224,511,115,484,410,658,280,309,916,135,969,
220,859,526,029,355,155,103,101,434,574,171,853,175,900,268,425,864,774,486,
875,981,909,574,287,172,820,532,885,832,060,579,022,760,474,726,488,441,220,
812,469,352,156,396,298,413,491,913,143,690,455,611,599,883,952,108,768,828,
264,341,253,177,015,701,411,018,363,042,353,201,619,161,285,413,684,307,878,
848,615,146,680,335,387,949,311,761,158,659,391,447,056,290,401,203,828,282,
685,936,333,154,503,919,257,931,415,356,278,826,061,249,546,470,802,938,678,
749,598,510,421,136,331,265,753,637,241,117,338,121,513,642,227,736,711,895,
135,145,168,310,726,423,299,667,474,116,381,608,797,389,369,737,725,929,171,
930,008,723,216,426,178,692,013,967,333,750,068,348,731,836,552,028,507,497,
719,013,346,439,417,591,428,084,156,020,885,535,968,918,822,821,338,113,161,
194,841,641,218,678,277,800,572,097,978,422,214,230,074,137,104,673,944,654,
997,395,018,110,896,903,105,218,802,629,958,073,566,695,186,719,484,999,815,
506,005,241,379,705,215,330,599,329,841,132,832,313,237,926,883,211,596,486,
715,423,572,043,354,368,192,327,081,994,305,830,972,186,837,425,027,291,681,
026,283,091,343,087,333,739,698,549,290,423,068,364,820,088,511,969,120,067,
682,142,966,786,587,985,595,957,680,480,669,787,547,977,973,494,249,852,514,
848,618,995,484,131,447,025,485,199,913,756,707,018,315,305,505,195,766,653,
181,622,260,715,411,255,139,594,007,199,378,009,609,649,547,973,704,097,327,
288,721,379,506,863,499,213,114,392,626,985,831,838,938,925,983,150,903,417,
687,052,506,361,793,300,685,698,611,032,576,927,841,232,942,004,729,071,318,
825,212,691,227,769,695,345,278,606,061,295,094,788,693,883,020,743,267,105,
674,458,622,986,191,190,535,232,135,004,497,039,839,296,533,171,557,766,525,
756,369,755,403,063,971,627,454,445,343,271,465,538,756,221,811,739,818,358,
374,883,896,913,896,933,180,808,813,574,006,971,457,945,422,143,352,013,959,
117,755,255,905,877,858,563,638,882,683,226,351,556,076,880,484,513,901,853,
920,755,485,000,534,292,397,099,328,768,602,226,123,305,021,170,486,425,485,
539,502,952,101,665,465,410,005,156,105,342,162,570,007,376,593,370,758,771,
459,422,283,645,268,819,175,682,178,530,284,516,585,191,655,842,484,050,421,
139,701,776,185,079,976,176,416,750,714,615,133,821,844,278,748,627,726,900,
891,710,436,767,840,727,386,979,989,329,959,814,542,483,991,307,035,376,423,
829,622,145,637,244,066,487,423,485,421,130,321,812,521,214,277,929,084,993,
030,626,742,227,519,993,389,164,049,354,801,008,741,586,050,881,074,766,766,
737,741,274,755,470,604,025,302,230,109,326,047,896,734,588,533,979,867,568,
443,969,249,851,986,037,626,408,375,886,605,394,741,344,416,325,385,123,616,
322,707,819,958,621,127,985,389,050,135,484,606,595,248,275,282,372,026,551,
381,167,474,604,483,196,515,311,743,018,383,130,582,320,712,696,288,114,115,
716,842,663,043,977,636,523,349,163,288,237,131,196,247,662,563,811,984,746,
916,391,063,170,286,945,677,691,464,205,758,851,206,559,220,719,437,080,664,
494,623,437,384,114,395,160,014,096,631,457,475,907,590,520,587,120,589,531,
043,699,865,421,027,111,024,847,011,535,578,522,740,329,061,845,616,080,767,
434,127,123,753,506,177,716,162,445,514,156,616,654,653,134,082,537,418,145,
903,491,567,267,986,433,513,684,795,756,400,670,120,571,793,313,940,548,197,
263,654,641,142,240,309,591,672,145,525,940,376,808,248,097,629,840,113,072,
775,577,239,575,418,725,064,408,532,943,325,127,946,092,045,489,728,830,411,
343,240,096,713,695,866,824,930,771,144,964,152,982,444,611,388,756,364,226,
403,920,222,587,410,235,822,273,919,346,444,556,837,228,589,454,798,832,373,
213,006,124,661,375,055,452,752,938,885,137,335,336,314,967,346,215,247,525,
288,036,097,238,113,817,296,717,690,263,577,171,017,498,430,110,833,214,142,
693,462,344,593,688,700,797,604,588,277,339,366,909,733,514,910,302,618,179,
921,151,192,854,090,327,064,552,412,437,161,063,676,229,082,867,103,236,522,
247,496,195,575,771,734,212,706,693,353,055,191,802,088,081,181,630,732,844,
311,696,269,302,842,999,789,252,138,182,798,412,204,895,084,208,157,553,110,
619,580,659,912,836,072,782,135,784,258,533,603,401,332,252,615,516,642,561,
678,683,320,761,321,155,248,158,455,294,252,110,197,218,028,166,658,341,258,
088,268,007,894,040,691,379,506,420,155,186,116,069,601,344,702,395,137,511,
919,914,804,152,873,421,512,728,935,967,780,776,644,542,751,582,252,748,805,
325,573,466,615,320,893,984,634,384,996,523,729,540,846,370,835,313,559,108,
963,971,597,027,082,770,174,411,669,301,196,807,305,551,133,976,004,424,628,
191,196,322,572,576,798,084,268,970,457,088,687,447,934,172,842,536,580,654,
576,269,206,967,288,435,369,030,860,558,910,470,564,196,534,578,369,882,103,
951,419,979,990,557,810,533,719,763,719,040,338,867,709,978,689,480,764,915,
356,321,001,180,139,680,747,927,040,755,386,216,522,521,414,504,072,474,896,
552,772,876,449,998,517,409,609,438,863,462,133,639,782,381,872,257,884,455,
110,994,600,857,699,256,672,137,927,232,629,432,728,030,534,905,651,830,093,
927,570,871,688,136,818,577,893,191,802,716,892,404,412,486,509,933,151,270,
484,440,323,859,133,443,635,751,049,979,481,807,304,650,531,410,542,292,552,
226,990,072,903,454,941,902,652,446,651,763,827,657,701,445,777,687,468,495,
429,610,549,628,751,489,413,061,906,512,308,514,752,061,115,342,992,587,417,
688,822,349,540,238,440,547,494,077,071,648,866,953,972,109,105,116,856,615,
503,586,847,014,874,070,778,254,830,348,675,195,307,898,507,544,094,650,722,
914,589,318,193,488,691,627,901,891,917,042,034,576,862,899,979,498,698,355,
105,157,718,833,695,332,122,602,542,350,083,553,737,991,701,774,945,992,004,
260,490,192,902,384,212,052,517,748,302,550,225,937,027,126,533,345,609,362,
922,218,104,521,628,587,572,445,606,413,897,668,943,826,819,081,905,574,572,
653,298,489,789,387,217,144,579,264,122,634,354,806,836,975,668,581,489,732,
248,588,943,032,248,438,481,961,976,188,232,885,626,803,463,435,446,014,834,
279,560,872,575,921,038,911,083,638,973,822,348,123,743,982,817,679,044,044,
495,328,791,062,996,696,152,568,522,314,946,254,972,025,107,853,976,562,645,
685,917,615,394,413,498,892,150,450,852,457,569,805,171,591,481,426,135,451,
477,912,644,827,008,621,833,319,491,631,169,734,858,825,899,399,758,831,995,
315,092,676,474,724,190,790,199,936,104,787,614,225,913,170,683,321,727,888,
976,179,798,309,158,151,068,798,164,077,702,753,654,476,711,806,205,203,317,
959,959,734,481,827,120,323,461,807,003,455,577,160,256,550,705,014,088,187,
334,946,125,238,072,504,238,523,153,590,044,869,131,252,471,038,146,750,857,
443,498,738,118,729,014,295,336,963,289,944,769,609,864,711,017,731,450,385,
429,638,342,673,919,728,286,701,087,978,430,455,261,801,814,538,006,028,075,
676,686,113,042,787,878,379,372,339,553,602,299,327,122,031,762,728,674,999,
724,951,144,734,157,055,659,680,738,961,972,819,801,626,211,459,268,800,217,
366,479,854,028,902,821,266,032,071,047,371,272,751,566,437,220,041,426,513,
653,168,198,581,825,676,189,131,455,228,568,760,140,076,364,578,206,215,652,
542,637,490,625,441,955,660,352,880,647,722,662,970,264,616,866,039,047,738,
964,439,614,621,269,824,826,333,205,459,341,618,415,755,565,514,432,472,150,
333,856,574,600,587,143,595,173,828,148,951,364,347,654,319,811,623,370,626,
611,895,204,185,780,477,496,272,168,285,865,044,932,485,230,748,340,741,541,
763,894,998,348,313,975,597,155,914,122,159,882,119,062,059,761,008,917,280,
109,576,646,534,902,672,159,649,018,065,960,696,102,880,231,042,775,932,865,
326,234,464,190,427,490,498,879,682,983,331,735,803,279,010,320,653,521,431,
519,208,940,838,977,042,634,547,177,541,192,848,029,074,358,069,490,969,751,
133,686,462,572,284,839,302,644,598,610,660,317,603,896,840,973,279,873,961,
360,331,545,202,852,086,934,209,164,521,268,531,611,424,406,928,248,823,836,
364,919,450,057,328,353,796,128,273,055,450,579,897,232,860,444,205,721,069,
685,590,275,385,256,001,596,799,642,193,917,772,078,591,953,541,654,470,719,
537,473,942,285,160,252,312,332,406,428,520,789,054,450,750,358,795,631,256,
280,789,954,075,670,526,927,281,636,797,524,620,026,545,016,600,468,697,581,
166,023,776,188,001,826,693,258,622,719,644,618,058,707,154,572,146,538,981,
863,659,251,669,922,602,846,470,247,578,520,306,238,685,767,382,392,151,887,
530,967,635,713,768,282,366,944,108,300,217,775,474,074,836,449,738,016,452,
910,037,728,528,531,528,078,088,263,871,414,566,802,524,243,217,570,692,137,
383,026,444,230,738,317,609,505,082,304,003,499,969,855,726,676,034,655,431,
488,894,902,617,363,885,683,914,769,234,330,102,128,815,318,624,914,130,940,
392,505,994,427,834,090,979,353,222,499,498,648,808,168,066,516,480,162,267,
575,972,230,858,328,257,635,556,293,636,948,338,695,731,388,858,726,760,186,
290,218,192,005,441,726,091,501,011,080,045,917,484,993,831,061,086,979,574,
504,493,084,971,799,132,886,569,848,293,923,117,940,600,861,026,352,820,979,
191,927,134,576,133,407,401,763,481,254,307,293,393,039,732,552,451,460,004,
717,217,532,028,070,352,739,829,678,223,415,630,940,852,426,251,899,198,433,
347,094,403,489,985,921,315,643,467,925,452,014,708,860,299,793,422,682,761,
808,686,695,571,259,984,716,941,405,687,913,041,929,595,338,911,306,371,243,
250,399,243,083,045,428,294,999,295,307,483,762,210,351,804,471,387,726,915,
252,609,816,628,844,436,760,693,491,177,424,848,111,684,561,606,723,272,571,
458,649,920,344,010,080,299,196,226,114,742,240,252,374,270,904,502,037,818,
100,711,464,388,422,841,318,758,094,563,064,303,269,525,440,539,414,447,803,
402,302,733,852,172,843,718,519,119,500,824,918,121,549,931,141,400,050,277,
653,707,087,386,143,843,862,437,918,279,987,849,301,152,643,490,777,631,084,
232,316,692,307,647,370,483,774,267,377,701,732,874,914,709,187,823,576,060,
986,922,662,570,277,455,376,332,377,407,877,748,312,114,918,997,716,910,988,
851,939,433,602,707,709,766,530,064,445,505,113,990,426,163,159,331,695,156,
475,782,960,571,740,770,926,805,832,806,660,821,635,117,636,255,963,731,802,
519,690,617,589,472,848,346,094,923,276,293,896,140,789,479,576,680,535,356,
375,831,993,942,908,518,391,650,703,454,311,704,870,914,943,665,443,481,578,
186,302,872,275,427,555,658,703,675,816,084,047,651,091,760,645,400,756,446,
880,084,796,196,611,252,955,965,886,153,213,585,650,489,608,742,748,360,364,
206,904,531,530,363,755,966,883,227,169,465,633,557,879,775,264,469,045,269,
207,255,721,867,217,218,718,462,113,968,413,186,593,985,873,582,109,852,753,
253,709,756,067,318,910,825,856,181,650,800,504,975,885,136,452,026,128,208,
021,985,140,304,628,711,868,775,902,293,946,179,455,575,942,898,122,591,096,
216,525,962,843,733,771,577,517,061,333,412,333,352,679,222,487,048,743,130,
009,137,741,134,949,153,392,399,651,251,931,837,205,696,382,491,026,155,886,
974,001,645,052,330,738,275,640,332,119,928,881,738,541,352,506,361,220,927,
346,131,622,318,625,726,088,401,646,430,021,765,568,372,070,920,245,936,291,
583,491,591,058,453,432,242,579,578,752,800,113,537,702,125,513,295,869,560,
529,864,218,580,552,413,715,860,641,114,307,960,653,418,349,502,247,972,805,
238,693,197,465,833,072,207,938,532,779,402,713,038,596,602,318,133,931,160,
001,904,764,535,919,311,029,683,376,388,498,686,031,456,773,544,367,578,706,
754,169,795,199,866,725,458,656,863,995,102,272,783,598,909,580,907,642,196,
101,093,478,076,922,217,552,560,942,024,161,729,318,889,681,762,225,649,627,
767,824,578,687,839,787,232,282,947,723,357,031,203,922,861,841,084,994,716,
782,076,178,252,096,887,536,113,225,180,501,786,579,834,215,633,889,156,715,
834,497,585,018,042,569,162,275,378,310,035,223,210,032,944,589,330,941,440,
669,644,378,194,880,975,273,780,118,094,134,717,355,605,746,832,320,079,746,
446,939,378,270,343,093,199,918,970,519,803,448,700,883,183,020,089,704,739,
658,086,151,740,948,050,252,127,233,588,402,749,789,896,403,421,902,263,276,
904,019,870,772,874,520,926,555,560,724,359,402,124,462,921,884,502,121,204,
916,071,058,671,807,117,598,269,905,938,478,256,948,997,058,271,600,138,469,
844,337,309,675,461,355,657,304,146,021,769,389,090,677,539,772,240,764,377,
402,874,896,638,060,745,178,546,259,229,619,671,189,672,206,101,539,441,121,
193,860,680,165,929,085,707,473,949,216,287,122,226,375,450,073,809,731,925,
255,438,957,837,519,833,790,937,786,365,745,176,742,612,825,134,863,112,825,
293,294,721,619,000,068,919,145,989,083,464,589,396,878,713,268,442,713,201,
952,079,837,437,438,687,957,087,494,716,642,016,976,155,014,847,884,901,277,
062,626,627,334,542,694,008,204,280,217,463,055,823,114,132,819,017,696,207,
388,386,544,521,626,673,930,002,772,891,903,583,863,589,530,655,228,906,225,
682,202,996,698,588,166,201,676,032,812,551,649,572,574,757,014,742,927,590,
006,596,439,181,096,948,006,506,810,877,955,324,073,334,984,408,110,946,889,
958,702,335,625,183,285,271,088,325,730,169,238,672,470,576,050,289,141,296,
352,162,658,943,947,198,242,719,022,124,441,507,105,623,986,506,907,104,932,
849,889,244,695,277,571,868,340,046,058,125,874,112,998,954,266,896,780,697,
005,314,159,865,907,698,820,913,262,535,651,897,451,857,274,018,040,524,370,
165,606,506,132,392,755,687,403,290,842,916,194,479,185,710,024,308,288,803,
136,917,344,899,689,245,314,009,768,566,481,103,409,920,843,304,205,584,369,
158,558,095,069,125,258,095,689,762,989,556,190,227,996,509,859,293,575,405,
293,593,591,769,055,096,733,301,096,935,887,769,730,514,126,898,705,766,652,
581,458,700,582,439,855,120,595,495,331,134,762,307,855,667,894,348,560,184,
735,619,865,593,687,670,730,219,906,355,237,145,169,651,669,829,994,623,066,
290,709,837,390,353,630,978,391,176,133,476,350,023,514,336,620,560,298,398,
576,097,018,606,187,419,493,658,706,109,497,708,310,001,061,233,697,718,908,
114,167,842,954,601,013,208,562,834,646,359,980,403,415,989,993,135,580,991,
598,544,921,126,229,475,086,406,984,830,198,591,553,168,144,418,376,263,048,
238,457,835,268,634,044,311,005,621,253,884,104,024,576,968,460,694,128,818,
433,373,696,519,381,169,281,931,825,477,957,920,962,451,456,333,046,356,741,
460,939,925,664,214,287,566,878,118,291,277,389,808,955,445,646,133,693,115,
172,458,740,776,579,377,759,465,808,913,346,501,293,592,365,285,548,987,873,
660,012,686,878,602,867,738,605,129,181,615,839,647,293,329,855,563,994,739,
941,885,600,882,096,585,309,991,917,178,504,891,020,387,935,135,768,773,036,
071,272,393,758,482,621,291,879,795,939,912,923,662,010,796,257,292,857,922,
625,648,081,472,300,650,704,738,775,466,530,650,266,314,846,124,225,501,409,
131,545,571,009,173,454,036,492,480,675,074,794,710,968,072,880,231,924,071,
917,171,149,338,637,220,451,759,310,260,456,348,854,931,060,156,192,764,099,
757,904,371,655,456,598,094,556,120,719,656,510,662,419,218,828,125,192,420,
374,580,853,228,841,829,388,225,956,363,578,705,479,545,787,098,825,096,353,
684,513,731,090,138,016,811,631,407,943,811,472,013,963,075,279,309,977,273,
739,814,847,608,344,757,480,405,101,406,514,594,311,523,273,357,656,322,131,
399,451,195,111,447,747,369,512,342,558,134,861,458,544,465,422,240,871,834,
991,180,323,729,126,083,075,036,189,115,587,648,760,970,381,992,691,015,956,
879,390,841,137,082,861,872,863,692,610,037,670,512,150,818,824,098,617,052,
504,514,169,514,431,653,703,863,303,315,400,503,601,862,880,680,267,172,808,
249,645,877,249,670,494,641,833,777,039,129,348,712,508,289,116,764,386,917,
100,312,857,212,979,512,162,322,271,938,855,250,543,978,678,368,660,117,208,
044,094,770,131,804,112,046,943,749,766,437,557,593,413,236,129,163,244,392,
001,428,826,968,951,784,947,639,071,370,043,605,576,542,251,996,772,403,967,
713,175,111,839,323,492,107,640,984,341,612,695,122,306,219,132,189,987,884,
060,761,394,157,250,657,637,040,143,890,864,027,111,342,752,638,523,532,090,
537,440,099,549,153,738,040,700,276,562,613,101,304,834,975,887,094,654,354,
724,240,059,121,599,321,433,116,483,676,587,528,587,218,304,865,753,784,872,
172,571,451,167,454,611,721,531,568,747,631,802,253,911,008,721,721,415,062,
507,954,919,017,616,269,874,948,754,048,330,936,523,818,632,272,991,298,775,
116,673,831,405,018,257,164,893,525,516,624,221,017,229,852,723,344,721,861,
930,176,806,301,504,108,862,679,126,872,455,557,972,926,742,161,533,198,472,
389,244,284,231,347,037,407,692,800,510,314,194,986,192,102,829,197,191,261,
583,493,480,103,938,120,270,874,108,339,066,626,984,580,129,862,054,701,024,
541,994,920,174,666,909,260,075,322,009,145,936,578,844,615,217,730,416,928,
530,878,748,040,434,686,196,026,921,761,727,456,161,946,150,269,221,219,036,
472,572,141,969,022,957,711,164,857,036,178,572,865,872,785,319,282,708,441,
782,037,185,659,357,967,555,621,794,307,866,718,044,807,111,887,548,900,125,
697,233,693,419,988,350,038,522,556,794,496,517,840,343,312,203,004,563,878,
880,236,561,947,467,802,617,119,084,966,851,868,749,460,124,636,027,270,434,
822,217,980,492,256,499,429,023,471,497,564,037,846,711,093,583,669,850,998,
195,889,457,491,744,633,525,907,366,368,238,124,827,679,157,522,193,436,840,
445,219,212,184,236,705,250,829,279,550,172,090,539,854,040,301,858,330,044,
025,401,062,890,510,756,865,382,341,177,742,132,122,630,852,685,835,325,490,
951,690,667,246,295,947,660,212,780,577,731,243,473,931,207,105,936,455,891,
254,767,294,289,750,107,326,302,339,927,167,771,438,432,682,680,010,644,671,
536,222,207,604,487,745,666,376,232,274,487,095,068,583,328,081,354,261,341,
275,368,353,650,947,193,442,614,565,369,764,962,696,194,037,929,332,435,684,
869,230,127,888,784,434,841,647,134,083,113,301,445,386,445,135,292,599,198,
291,925,640,716,202,935,710,179,820,709,654,070,733,797,952,293,175,184,296,
606,475,392,807,800,118,458,137,385,837,434,986,535,019,522,976,829,391,162,
636,946,735,840,250,274,038,427,934,909,124,573,149,893,595,810,132,185,435,
622,290,308,635,889,732,988,691,846,708,854,190,525,440,081,632,368,101,111,
789,011,840,316,266,397,937,938,018,226,823,821,751,150,456,865,197,682,926,
111,404,825,210,560,749,550,810,151,351,994,737,922,640,908,511,429,568,135,
806,045,283,107,028,337,414,656,640,061,368,432,636,632,409,548,889,482,246,
892,848,628,290,517,344,875,209,670,209,831,449,141,225,671,326,043,891,122,
871,756,320,179,553,527,079,111,750,660,097,861,585,279,632,414,484,709,241,
882,013,531,398,757,225,608,471,167,144,501,098,837,621,800,133,182,743,627,
282,349,685,582,846,305,264,813,209,721,563,951,926,891,605,375,259,897,400,
194,835,334,766,865,779,675,085,838,900,108,243,697,964,968,622,411,086,502,
356,398,060,907,605,927,210,942,726,280,444,996,778,639,267,802,546,646,359,
458,664,359,546,410,386,248,722,673,940,496,645,642,048,948,783,874,440,062,
886,759,712,819,040,867,739,112,070,768,237,673,624,474,953,616,608,704,663,
799,639,934,700,176,836,278,085,192,426,405,736,095,958,474,116,931,179,773,
715,817,151,051,038,237,992,908,316,611,319,306,519,524,730,454,036,038,524,
012,650,507,676,221,355,767,276,624,253,444,251,256,217,064,213,135,418,823,
853,452,583,984,920,099,881,339,684,427,737,424,929,078,314,522,077,436,978,
819,272,469,959,419,234,949,203,886,117,160,984,335,920,825,357,662,073,743,
024,391,116,390,978,849,729,418,060,532,263,738,164,439,248,089,132,069,438,
209,185,728,943,890,068,464,233,883,907,157,204,093,071,466,491,433,126,591,
781,342,374,328,987,791,244,067,787,983,849,574,998,676,866,341,434,734,024,
659,604,929,183,267,028,497,201,978,869,559,229,588,152,421,312,398,208,105,
636,848,940,440,878,785,423,028,526,449,948,854,596,285,507,712,755,653,892,
036,689,088,178,027,891,044,124,305,450,663,902,137,155,597,588,251,226,619,
282,194,329,891,467,714,866,655,120,488,135,058,292,246,221,573,357,605,291,
868,516,199,513,674,036,290,743,045,810,440,805,211,923,213,806,697,300,187,
098,410,276,440,438,149,410,182,207,225,039,289,373,032,110,171,365,597,710,
807,261,606,552,856,748,613,396,400,707,774,349,219,822,493,494,325,508,393,
450,153,409,596,188,291,297,585,910,624,108,119,789,584,441,844,607,946,079,
977,819,668,317,505,374,140,564,050,770,329,802,424,361,407,503,679,476,104,
189,403,750,017,596,031,085,740,204,163,043,702,941,736,677,323,902,744,456,
167,384,741,258,497,581,644,402,816,597,876,193,609,450,075,491,868,099,088,
676,799,240,136,235,543,492,327,841,756,219,610,674,586,673,382,083,057,589,
059,647,104,577,310,130,109,426,219,281,677,750,091,803,183,806,152,108,301,
427,381,862,922,572,011,529,654,334,528,425,719,227,757,458,021,748,599,773,
121,641,169,621,576,253,556,368,225,791,374,397,591,205,308,011,554,204,893,
595,784,642,978,074,088,568,632,447,130,507,119,839,254,753,464,580,547,933,
438,857,131,144,318,994,509,769,061,542,923,076,331,947,762,498,936,204,906,
687,584,134,695,682,899,585,640,393,014,970,903,296,543,687,055,444,103,892,
590,466,004,653,424,730,718,985,157,985,810,771,497,299,131,295,583,621,179,
673,443,404,472,323,016,038,305,247,503,671,718,805,246,549,704,460,992,136,
055,684,026,086,495,293,391,482,282,697,518,378,457,164,750,442,211,801,059,
876,066,891,112,031,782,867,105,572,888,296,072,573,310,579,148,709,504,999,
871,142,242,305,450,573,674,818,538,776,834,761,905,023,427,135,646,596,293,
788,428,211,113,054,838,819,964,411,102,508,749,734,472,361,505,412,703,903,
985,047,644,154,484,828,050,145,577,370,876,676,578,792,400,744,621,491,809,
407,966,412,541,854,753,543,986,882,364,208,787,259,726,080,094,193,831,104,
864,885,274,902,979,511,813,869,036,856,407,311,477,908,974,593,813,686,848,
054,325,553,511,821,470,833,567,308,389,934,403,983,498,582,651,768,754,429,
679,252,687,641,522,193,502,535,404,264,828,947,286,716,518,389,504,236,556,
085,547,538,408,069,566,127,550,578,416,609,312,415,554,856,829,902,448,408,
906,590,140,562,966,802,086,935,638,262,903,804,860,168,771,803,394,720,494,
417,838,722,983,658,009,640,517,259,193,793,815,087,785,614,447,496,599,872,
782,871,380,453,460,658,507,017,420,984,994,901,384,308,494,460,467,357,229,
251,094,711,210,118,998,945,806,495,313,363,129,980,259,595,312,546,052,968,
723,491,953,799,745,848,240,239,496,412,360,443,853,681,113,741,555,357,482,
728,232,657,254,234,520,449,648,314,809,019,817,597,759,616,679,703,382,781,
960,545,217,038,785,045,986,092,850,139,239,960,713,092,588,966,176,461,298,
965,478,329,689,775,901,396,788,743,176,172,717,557,443,154,600,118,155,318,
034,882,203,002,934,233,686,247,831,048,935,867,001,437,025,287,257,684,978,
630,087,239,088,892,195,332,481,726,334,356,803,756,065,878,081,651,019,625,
191,450,383,706,491,150,452,824,343,608,013,945,426,808,200,877,495,798,419,
198,251,231,930,972,867,798,994,092,115,393,363,312,209,352,632,084,266,866,
076,033,280,575,918,696,319,948,778,124,070,239,909,519,550,685,675,317,078,
744,264,253,537,351,289,007,820,624,544,702,404,939,007,448,124,863,921,084,
102,069,180,565,193,196,010,810,630,762,989,989,271,575,164,068,772,580,279,
122,936,825,848,299,101,988,931,576,954,919,144,571,958,038,537,048,665,957,
692,634,054,701,351,758,180,497,831,107,163,054,701,367,167,310,077,024,118,
491,507,681,109,617,984,197,177,286,197,818,249,398,621,683,397,364,687,628,
413,062,247,543,397,074,884,501,676,931,073,323,925,763,954,226,721,328,858,
364,899,897,072,675,565,968,895,080,856,103,162,804,789,089,848,320,272,533,
390,371,875,355,856,981,742,784,376,534,093,123,741,241,091,351,914,434,364,
488,962,772,970,491,366,969,074,338,345,015,390,348,778,774,303,673,829,485,
403,754,037,645,019,121,446,107,008,287,877,593,650,768,326,314,122,981,866,
912,516,805,272,114,179,699,125,076,081,475,698,360,468,562,078,281,853,235,
307,182,973,972,970,333,365,369,341,395,739,493,433,054,940,104,243,472,399,
055,248,461,728,387,585,371,842,688,855,829,362,596,071,348,866,030,454,159,
764,986,103,297,108,743,098,396,241,269,350,885,294,513,497,683,063,477,315,
750,890,819,939,331,977,552,727,611,471,656,249,971,278,530,189,691,524,467,
692,591,974,045,253,540,019,807,871,748,415,240,582,853,532,081,792,628,613,
170,868,213,655,078,097,803,760,549,982,263,311,983,845,804,065,714,285,890,
603,725,256,022,688,039,369,517,478,582,567,607,239,974,710,265,762,575,068,
827,385,839,308,491,930,413,725,025,595,382,769,324,550,715,998,688,903,243,
856,042,497,560,415,377,414,081,022,894,906,363,417,553,152,562,773,869,973,
376,998,295,167,708,550,183,837,802,180,414,256,578,097,835,066,935,793,448,
444,139,344,101,836,571,927,570,335,309,838,647,085,805,128,284,250,031,138,
926,042,161,682,548,692,647,144,024,493,223,695,152,561,791,784,347,953,716,
635,287,314,291,109,162,735,914,197,566,869,940,840,860,314,389,956,700,695,
982,113,682,462,339,814,083,856,890,519,124,964,672,178,264,345,897,065,842,
020,735,872,099,813,866,199,490,785,816,501,616,013,070,657,634,735,356,066,
076,945,655,290,371,274,978,067,543,894,337,084,633,252,381,393,252,595,480,
514,101,762,214,583,279,170,804,353,382,658,481,029,156,855,078,275,355,199,
207,386,026,904,009,140,179,536,839,735,496,118,170,245,909,894,217,893,445,
154,924,752,741,320,468,525,034,553,011,749,860,342,311,103,242,702,284,828,
712,255,876,426,199,348,720,311,401,914,783,783,898,238,370,977,428,369,848,
740,049,710,482,353,373,918,694,346,944,770,411,203,907,749,148,167,791,086,
233,086,483,796,393,618,571,951,598,028,944,050,317,031,815,365,406,285,897,
616,167,120,865,182,458,428,345,415,990,865,823,208,921,313,542,168,303,981,
963,477,769,789,088,952,186,567,561,004,049,968,896,614,225,846,324,416,573,
566,630,630,060,381,456,967,617,842,550,243,216,083,516,471,658,818,498,475,
018,465,096,531,260,953,394,742,719,428,359,670,010,310,586,640,407,645,443,
252,783,228,022,155,010,065,149,317,218,750,819,797,670,303,151,322,222,337,
775,100,145,165,171,108,904,565,270,439,848,719,225,640,820,314,564,609,973,
692,589,281,678,511,937,901,293,439,378,691,119,645,653,939,132,641,917,486,
583,743,075,188,778,428,908,083,081,847,344,925,940,077,216,916,769,769,865,
015,202,357,873,049,623,955,367,385,858,487,833,577,197,741,368,349,817,489,
526,919,852,151,880,828,429,940,405,599,379,122,184,908,475,185,065,670,808,
394,140,981,537,073,384,646,482,936,034,735,721,374,381,918,852,738,666,688,
889,412,036,734,939,874,934,669,893,522,150,995,784,380,209,209,295,340,753,
662,329,517,428,369,115,870,922,035,045,105,057,836,371,968,128,005,032,286,
294,574,675,847,622,249,668,515,907,191,484,089,633,450,133,640,084,019,853,
205,865,003,737,595,694,716,604,466,491,206,652,801,556,457,313,947,276,649,
484,543,147,348,332,967,263,915,373,425,017,626,135,222,936,474,756,203,049,
512,435,041,225,875,188,060,776,590,086,252,728,738,711,538,824,365,276,907,
841,455,050,048,425,771,799,952,624,582,099,326,524,673,531,012,730,979,465,
407,711,754,198,641,234,259,392,537,131,980,039,795,966,091,249,782,629,022,
328,137,274,752,473,707,047,710,479,110,449,124,925,283,783,800,183,705,047,
522,480,915,684,383,033,167,437,894,952,170,498,677,730,674,887,766,973,484,
801,256,204,915,205,026,183,264,014,479,326,957,460,171,066,451,296,268,349,
431,150,541,820,037,953,325,127,427,642,041,494,142,864,589,234,531,027,506,
925,466,043,877,380,109,224,937,180,403,908,453,831,021,884,039,822,667,860,
634,481,144,172,540,610,647,091,513,470,735,823,251,930,045,947,339,657,051,
803,584,205,643,307,839,887,817,012,464,189,580,715,081,760,454,384,914,612,
238,575,532,841,167,881,402,635,951,738,178,005,828,713,323,562,205,544,418,
243,330,098,883,388,597,478,987,440,871,948,009,241,516,879,425,202,067,060,
174,550,643,272,600,048,099,054,652,721,049,184,597,470,185,144,056,073,908,
457,990,079,687,735,756,472,123,317,022,291,692,967,342,113,424,617,933,913,
488,574,092,979,826,901,440,839,417,294,627,352,458,695,987,637,664,977,615,
010,728,152,256,410,984,084,069,267,525,796,052,655,998,712,741,863,514,137,
574,936,681,155,010,208,906,549,304,850,332,321,100,577,570,710,383,994,026,
447,697,352,876,843,502,006,335,740,399,041,524,546,410,252,949,573,717,522,
465,789,960,627,410,466,415,685,234,867,511,953,201,151,980,610,822,595,473,
414,250,944,463,100,045,558,548,144,267,496,193,126,180,662,355,511,158,624,
922,580,996,594,133,423,703,899,359,938,607,257,071,312,689,764,553,915,532,
686,237,398,771,173,529,947,620,177,870,456,269,541,236,482,313,041,831,419,
742,359,205,952,955,763,811,150,844,344,576,492,316,329,532,852,308,318,743,
974,559,569,940,966,494,936,248,229,077,555,067,575,903,569,222,002,234,822,
512,376,972,776,509,412,841,523,495,762,792,156,722,589,895,961,962,974,291,
352,107,418,169,724,450,218,440,347,834,639,245,563,485,896,705,511,160,901,
842,408,404,360,786,519,136,724,639,772,732,150,428,479,464,626,531,082,836,
603,362,493,883,735,052,962,659,398,815,190,746,051,670,606,667,046,837,874,
249,866,757,467,388,524,975,444,562,680,100,918,535,426,048,091,593,395,796,
258,772,228,346,175,854,922,491,131,609,266,124,782,206,965,910,024,116,244,
152,944,133,830,301,729,722,601,624,305,402,966,351,138,427,454,225,613,174,
275,653,511,753,660,983,764,163,585,458,624,907,615,629,831,720,018,280,558,
939,767,377,848,086,293,482,093,569,282,877,522,248,565,075,296,544,482,008,
261,836,145,434,563,876,871,892,243,645,301,598,831,769,604,362,973,545,504,
227,380,674,080,974,379,788,949,191,393,203,306,778,758,617,519,916,251,600,
130,598,494,844,135,123,838,840,940,878,810,016,094,878,045,807,636,085,506,
824,687,776,761,379,350,923,795,060,194,598,402,062,548,185,874,428,518,259,
446,981,696,110,597,677,400,480,456,008,622,498,529,415,328,167,962,261,639,
309,983,520,913,651,588,385,150,391,277,189,536,168,469,186,501,765,126,791,
367,446,818,687,562,964,036,796,193,098,899,128,722,435,978,165,343,335,425,
853,253,124,599,613,344,412,064,001,382,973,493,318,740,165,376,024,036,782,
962,587,864,618,374,611,726,547,767,818,602,628,765,352,949,475,217,199,259,
578,047,496,996,095,483,872,341,671,683,447,714,450,403,254,720,423,231,703,
678,085,458,076,555,445,211,592,162,540,405,686,994,896,654,110,791,434,529,
755,252,019,554,574,989,333,931,918,824,364,539,216,704,947,867,371,450,803,
568,758,523,812,288,428,444,323,805,660,016,795,474,436,974,599,802,845,495,
962,591,373,152,946,199,511,947,423,318,457,834,907,440,552,309,750,939,855,
762,266,219,690,088,736,893,050,401,373,109,437,130,021,242,510,378,957,413,
490,998,053,362,748,874,967,460,919,848,033,620,149,440,386,818,295,936,108,
281,258,520,218,382,512,138,605,202,267,153,201,310,886,575,297,003,549,469,
852,861,347,562,444,847,784,169,673,457,224,580,499,149,274,518,478,946,888,
497,951,906,891,853,320,835,296,194,597,729,360,751,307,000,576,929,352,106,
246,823,141,401,232,805,158,553,676,476,138,672,374,723,760,702,602,647,056,
063,930,068,942,336,010,049,408,613,335,731,513,308,042,545,222,805,723,918,
406,799,904,097,100,529,899,118,553,646,062,777,442,025,965,132,059,258,486,
746,256,627,225,806,581,295,772,185,104,051,545,610,981,903,194,353,722,608,
235,816,671,651,417,515,898,966,274,872,863,412,380,584,363,737,345,438,835,
113,263,361,308,327,432,409,151,600,988,042,634,648,342,042,280,253,178,790,
409,486,028,368,605,571,333,693,851,011,125,113,454,580,484,732,593,643,641,
674,830,496,423,008,211,868,417,784,292,707,091,036,432,104,058,719,123,854,
011,541,366,945,531,171,435,556,961,401,743,511,666,567,002,626,252,955,572,
534,061,191,154,649,039,399,505,808,759,921,031,968,350,332,556,459,464,999,
781,895,050,648,411,842,891,786,660,016,277,491,552,843,330,706,326,193,846,
166,889,288,207,971,634,318,022,446,551,242,417,859,028,074,200,248,633,047,
088,540,757,839,983,134,247,370,488,304,319,504,677,316,674,758,915,666,436,
571,628,008,602,996,489,363,403,491,031,849,431,422,326,013,857,601,137,434,
195,308,777,633,882,856,932,925,691,800,894,022,554,771,421,104,111,358,764,
246,760,698,910,293,604,330,522,980,105,322,029,618,385,432,273,078,636,153,
698,192,966,875,554,222,775,237,255,582,529,863,366,486,580,871,153,991,400,
753,482,387,863,015,244,455,679,814,133,554,920,132,325,279,835,662,601,092,
239,294,147,551,165,953,889,158,757,779,598,608,869,230,868,099,277,872,028,
436,747,544,416,003,030,389,372,469,309,519,293,637,515,168,492,837,423,171,
092,667,150,072,407,486,024,146,199,314,507,257,357,288,364,986,819,953,383,
663,732,625,165,534,794,875,389,159,812,091,441,300,345,542,551,088,102,254,
257,701,359,723,934,706,733,549,324,514,123,526,253,210,752,865,055,123,188,
353,421,386,137,155,312,274,531,174,726,220,850,645,159,261,766,126,687,530,
002,040,830,422,752,353,982,079,994,251,404,017,913,153,910,007,452,508,089,
538,941,120,535,917,246,312,806,678,292,684,788,424,629,546,451,229,406,370,
114,844,489,032,172,703,463,927,866,192,201,626,779,600,649,551,937,064,141,
364,609,029,743,375,946,022,128,247,414,009,970,395,040,139,622,243,880,020,
474,265,434,045,782,366,957,705,938,005,962,979,758,538,297,053,319,910,682,
239,785,924,779,961,020,336,111,439,572,679,915,200,639,426,429,729,864,543,
925,960,700,493,126,495,361,623,190,204,508,465,837,781,986,544,753,242,592,
761,749,037,234,807,752,406,355,512,188,236,622,842,220,832,454,165,641,945,
697,168,902,050,010,276,039,601,946,789,271,309,742,372,666,875,562,853,220,
268,309,763,936,585,981,710,403,615,390,285,378,104,224,928,980,650,261,376,
506,634,434,491,672,278,528,498,438,392,069,792,110,470,354,992,632,538,469,
354,802,519,506,711,901,412,052,770,986,584,061,160,220,249,074,688,729,249,
972,163,203,194,512,686,667,139,292,025,853,684,601,231,289,825,408,863,294,
691,757,989,569,344,242,404,686,610,467,387,316,810,793,550,763,348,489,412,
504,332,787,885,469,812,873,827,865,912,584,183,753,005,257,017,101,973,743,
159,448,338,234,122,738,491,114,015,222,952,007,001,506,625,677,629,596,119,
522,393,063,045,385,683,144,733,201,690,016,781,695,196,817,288,219,272,326,
998,981,983,916,261,249,479,731,049,199,092,966,898,185,245,533,877,053,465,
061,877,891,610,350,650,847,303,660,445,215,670,071,640,547,476,455,746,758,
362,474,945,454,752,190,549,670,925,988,624,448,971,346,864,380,358,615,303,
736,422,985,399,129,258,654,400,938,151,154,928,020,061,482,710,377,892,432,
957,460,294,025,157,763,716,543,817,761,140,010,038,088,353,610,706,308,572,
917,571,200,621,675,410,198,103,618,812,104,271,489,356,177,128,895,965,656,
925,993,867,017,690,241,095,371,974,918,364,547,718,904,577,358,394,673,948,
229,219,242,638,410,934,137,781,898,598,785,763,337,864,617,632,335,949,296,
776,811,702,768,779,977,708,215,347,029,030,315,321,582,178,586,522,071,416,
121,848,248,648,533,387,119,054,321,743,321,176,958,449,933,822,440,184,861,
102,583,422,801,967,826,165,523,513,088,082,128,571,676,203,251,456,452,796,
389,270,908,053,127,427,028,747,493,896,622,909,439,599,093,925,430,979,507,
239,875,471,354,813,165,427,229,426,204,577,282,874,337,978,585,285,074,447,
978,925,096,402,411,652,565,231,367,974,189,143,214,974,560,450,075,834,596,
865,000,354,602,670,690,737,369,929,133,402,810,185,801,968,999,302,785,018,
524,163,429,055,723,075,015,355,509,412,214,205,125,587,072,131,911,672,646,
908,395,714,865,771,650,151,624,481,182,149,496,672,059,641,152,766,618,211,
314,890,579,516,107,451,661,079,506,400,058,135,894,659,251,562,673,146,908,
372,144,680,626,638,795,324,126,623,506,885,857,105,530,800,036,754,732,372,
698,993,575,834,973,294,178,634,579,708,527,010,466,543,020,373,809,067,841,
921,579,135,635,229,156,014,545,673,912,325,587,839,714,935,045,392,926,495,
807,058,295,858,548,391,811,999,756,969,901,042,139,696,725,942,994,543,067,
591,272,912,786,867,256,344,010,031,982,422,697,438,732,088,250,438,800,770,
729,825,089,228,668,362,476,849,507,709,944,966,775,299,548,773,809,098,072,
935,119,323,097,084,366,625,603,509,696,268,448,857,557,824,828,462,219,519,
423,519,775,089,695,263,087,982,887,055,848,771,958,068,953,282,275,931,152,
914,993,776,079,683,561,284,260,352,113,792,096,135,407,731,327,283,608,938,
039,732,596,385,849,345,789,621,087,141,063,350,304,789,565,485,013,000,932,
955,135,376,602,008,242,669,460,220,040,319,015,192,560,182,982,751,759,453,
712,155,108,534,232,129,331,292,820,499,939,104,796,515,292,948,133,587,495,
404,629,005,537,633,260,277,018,232,226,389,646,997,753,790,061,515,062,831,
936,352,811,644,834,119,471,192,067,868,417,379,801,352,319,821,594,449,327,
662,042,159,354,830,603,136,163,109,522,595,322,611,949,301,628,919,672,950,
328,950,972,679,809,388,429,607,613,054,945,373,701,494,639,206,709,764,306,
304,497,376,064,212,791,453,535,932,395,745,210,444,764,326,762,263,604,348,
351,215,169,114,081,089,304,983,637,703,805,531,706,097,864,527,827,858,888,
443,529,210,528,468,198,258,503,070,719,595,881,003,713,987,064,988,437,095,
138,695,102,039,486,657,439,387,934,126,558,041,474,337,454,639,448,423,158,
162,376,735,124,284,211,411,607,151,699,987,929,316,513,111,846,376,213,444,
851,935,179,890,797,727,739,210,098,444,552,858,577,275,958,610,618,746,930,
954,968,064,363,952,054,442,082,346,668,645,109,052,591,930,909,192,681,450,
187,386,351,176,207,927,301,961,804,590,792,403,350,731,212,166,845,054,003,
122,024,238,640,862,489,653,028,764,038,218,505,667,632,983,526,755,176,240,
236,005,386,262,982,681,611,337,795,762,730,541,830,555,874,730,636,773,815,
192,423,666,704,420,170,374,332,006,766,961,687,527,535,124,644,231,964,557,
683,476,560,581,117,141,139,106,656,222,101,568,948,332,746,823,711,931,913,
641,644,331,681,172,013,721,895,222,351,895,713,602,112,717,989,809,111,634,
573,286,749,655,364,773,407,790,727,858,465,171,527,073,478,542,901,863,309,
599,869,049,855,025,616,662,020,087,812,618,264,387,297,657,706,835,940,113,
645,264,833,837,562,725,212,445,991,186,814,784,652,910,100,312,222,540,680,
971,550,440,984,513,332,918,672,645,668,772,686,888,536,553,402,959,344,402,
871,122,408,797,976,480,063,488,167,382,549,106,515,011,198,671,198,204,849,
939,791,540,830,694,910,770,275,981,662,725,964,078,257,747,769,414,219,766,
143,506,920,024,865,886,892,556,061,811,854,226,167,695,548,003,767,178,364,
596,038,093,093,942,991,413,660,570,715,055,906,942,505,098,489,328,710,111,
020,635,600,921,431,214,807,985,136,643,862,882,354,141,600,890,892,810,742,
000,504,445,741,213,075,648,352,671,151,157,583,458,980,496,140,659,316,023,
222,591,126,627,568,828,433,022,526,577,006,499,538,113,209,594,827,578,422,
623,779,192,143,474,098,060,867,747,852,532,514,346,529,503,693,779,127,145,
238,104,772,884,948,808,979,367,255,641,960,199,038,693,092,925,413,093,406,
788,462,227,183,584,952,574,807,866,882,308,522,766,104,414,850,169,233,507,
930,807,335,411,204,283,037,842,176,376,331,168,806,038,078,590,318,055,740,
152,380,678,474,336,472,983,096,555,790,745,606,687,157,807,849,229,542,004,
590,521,668,723,729,197,481,590,672,079,154,163,319,334,730,688,595,680,761,
224,843,171,449,842,168,308,607,170,323,833,911,811,041,698,990,927,868,512,
797,356,304,591,261,274,486,130,081,115,297,118,372,235,170,788,167,079,087,
070,219,246,846,424,140,045,869,420,115,100,113,740,250,691,466,778,840,987,
675,963,984,001,076,040,809,902,532,928,951,052,746,372,065,898,595,509,858,
719,143,686,542,506,446,504,727,869,368,617,400,269,180,682,215,708,665,669,
968,976,370,417,862,504,111,712,079,322,965,048,447,404,604,140,670,207,127,
472,479,384,538,437,492,035,229,438,276,774,150,840,503,284,384,571,850,856,
240,423,107,644,814,956,394,563,038,666,400,247,493,313,811,993,665,958,750,
202,133,616,221,043,764,065,839,314,994,852,715,983,575,688,247,788,746,668,
019,239,853,592,905,325,952,839,877,529,884,247,283,302,166,080,369,876,654,
229,584,036,689,271,962,207,425,857,303,137,495,822,031,313,603,771,104,452,
390,517,745,673,187,004,124,873,798,388,537,478,656,396,366,051,890,649,117,
261,548,136,818,183,678,296,520,573,485,642,629,327,870,214,515,202,984,485,
240,154,096,632,159,164,092,451,543,024,947,782,847,375,422,750,704,880,082,
387,756,206,626,744,949,012,936,132,336,378,912,338,412,175,784,775,372,980,
659,399,927,586,660,717,864,682,792,875,454,356,112,536,945,445,336,175,743,
519,589,557,633,292,113,611,384,863,576,854,352,893,379,290,943,997,558,301,
228,349,626,169,368,243,691,290,056,924,679,606,220,858,281,497,419,527,860,
430,109,812,064,776,461,677,837,092,420,103,821,312,777,282,960,297,276,605,
875,275,634,676,130,955,965,050,538,879,615,611,805,134,397,477,557,988,580,
214,388,932,283,929,889,038,268,813,080,811,463,582,940,692,377,665,624,858,
689,961,219,595,001,999,355,737,225,348,009,314,789,065,702,762,816,904,380,
481,970,903,459,925,923,715,804,916,264,472,295,034,348,120,307,062,738,137,
309,194,900,948,568,384,711,024,948,945,984,780,290,884,380,129,053,223,121,
887,683,861,326,517,964,519,173,746,344,655,464,254,294,779,056,795,760,056,
218,552,428,826,403,332,855,279,297,054,656,047,174,186,655,251,975,032,239,
905,063,516,786,543,357,405,370,726,553,135,924,257,675,902,117,814,741,955,
276,800,588,957,530,217,650,008,060,522,832,499,410,257,031,651,796,648,415,
104,255,635,964,627,384,111,183,778,643,994,424,702,364,634,164,244,172,272,
034,759,222,729,376,522,716,870,448,095,264,789,290,288,554,585,565,153,904,
279,125,738,709,616,536,973,344,657,368,658,762,533,555,889,368,941,266,696,
891,462,608,279,910,101,997,198,681,732,153,001,225,628,540,649,463,061,654,
792,996,180,787,915,825,507,124,603,501,433,921,530,486,648,392,112,039,777,
053,907,961,563,147,689,073,017,984,584,950,323,935,246,988,429,931,897,722,
108,475,589,145,323,399,127,550,685,668,963,247,983,138,266,877,648,467,880,
437,952,530,725,951,072,947,926,421,165,344,128,607,264,221,112,013,858,007,
577,359,806,420,661,010,043,462,874,131,475,710,822,444,480,536,133,588,701,
906,810,149,506,712,457,176,024,456,679,623,295,740,855,899,001,587,171,948,
000,923,111,018,885,860,369,612,740,278,645,655,627,990,253,391,796,255,649,
318,730,518,791,003,272,613,045,935,966,131,158,258,222,090,383,810,846,691,
920,046,599,735,751,875,745,343,685,217,368,016,627,894,972,942,366,471,393,
013,401,814,058,573,239,990,484,610,885,624,547,069,386,441,215,422,896,111,
059,682,352,971,617,887,561,047,528,910,549,877,358,344,583,382,216,099,643,
270,615,117,431,210,135,816,269,406,914,258,196,010,969,258,007,836,166,033,
366,252,283,953,414,752,566,786,243,282,994,819,389,836,476,346,084,794,202,
475,864,849,758,632,586,876,265,413,854,598,451,454,191,096,021,828,906,464,
125,497,395,646,146,883,662,433,117,393,390,228,886,700,658,054,211,314,672,
068,301,673,974,512,970,971,817,661,046,230,387,436,438,920,347,048,789,448,
312,202,214,032,963,343,045,702,407,758,347,123,684,612,278,720,630,684,920,
328,330,717,222,708,721,466,818,574,888,105,572,150,317,706,552,505,597,927,
593,323,426,931,875,957,247,126,347,814,794,055,884,554,648,636,800,763,384,
903,418,328,673,929,117,017,214,357,511,530,212,433,472,334,605,183,170,788,
865,854,981,526,411,389,664,740,179,031,395,955,021,898,428,632,550,754,788,
423,931,195,550,229,119,049,029,175,512,759,069,178,023,460,745,640,879,183,
094,730,840,594,482,354,918,714,767,309,844,488,441,638,698,764,560,957,196,
616,096,255,864,798,837,049,478,103,437,144,506,380,086,328,165,428,535,681,
970,385,496,621,701,965,875,542,203,154,928,502,039,132,645,073,558,970,045,
708,217,903,686,245,234,154,761,182,865,877,026,283,203,201,732,407,711,781,
513,896,983,664,416,888,002,374,554,188,848,031,885,210,541,993,477,832,619,
981,047,631,448,821,861,951,960,124,041,862,985,740,137,675,301,204,253,184,
873,816,402,269,668,269,890,709,609,112,658,722,216,918,500,616,023,158,555,
967,277,682,353,182,699,007,019,765,448,412,386,073,173,386,161,154,571,075,
083,068,825,120,747,861,028,512,688,572,793,826,365,343,713,859,720,192,354,
064,791,540,253,083,992,683,090,284,902,660,471,535,450,281,083,299,235,136,
635,843,236,510,943,371,572,427,222,608,568,673,018,079,520,013,084,050,111,
588,005,360,339,828,082,743,223,822,007,353,104,217,102,726,935,708,455,268,
999,496,676,946,584,051,794,974,202,152,286,054,038,554,373,031,175,306,748,
062,329,911,884,367,418,400,477,798,921,173,352,822,966,015,225,710,674,169,
106,793,498,469,717,984,568,164,796,824,921,061,621,516,655,737,318,337,872,
860,142,108,219,541,752,886,696,585,995,063,241,058,006,247,434,273,119,567,
527,184,440,497,458,639,088,201,249,417,062,353,122,287,028,136,660,714,559,
772,909,482,152,871,920,677,608,333,769,458,917,591,217,289,962,097,205,950,
169,427,087,972,272,443,001,400,699,064,420,345,875,633,364,416,478,407,241,
728,734,873,405,387,769,332,945,193,163,779,432,009,829,379,296,977,177,538,
614,860,980,227,907,476,056,819,564,776,000,922,412,942,546,020,286,144,540,
989,677,541,517,596,508,815,165,966,229,429,444,634,884,899,020,166,522,377,
696,483,134,177,140,025,135,079,675,164,701,438,602,935,732,023,748,802,200,
114,143,855,536,787,745,467,791,809,721,996,832,724,881,379,064,439,020,795,
558,973,270,259,493,551,809,788,042,215,721,469,201,128,426,498,101,373,791,
070,319,842,724,830,876,303,660,891,045,262,736,452,733,083,141,642,530,770,
155,393,315,555,318,323,714,417,835,949,231,267,490,815,775,082,553,491,117,
205,863,602,474,266,416,800,168,493,297,245,319,170,124,421,151,718,084,179,
987,884,297,883,247,548,228,352,390,201,374,776,300,611,542,356,906,095,390,
784,578,792,393,180,570,396,724,948,832,083,596,389,327,988,330,653,798,117,
894,028,711,591,864,239,612,679,083,190,980,772,188,379,168,917,881,700,785,
611,269,709,995,368,715,433,634,623,535,643,447,976,506,860,057,744,089,243,
192,259,285,210,014,046,512,026,881,366,632,011,377,786,918,719,743,561,511,
235,002,105,240,753,120,477,948,106,374,194,723,731,507,089,887,287,219,911,
636,821,946,096,329,545,912,386,416,332,417,829,895,901,879,257,421,519,967,
530,772,002,039,699,400,751,262,747,977,019,520,228,137,675,099,586,115,535,
387,346,588,945,556,024,116,305,822,865,521,148,329,086,416,699,102,292,428,
770,797,290,532,113,483,402,870,028,110,114,214,742,009,579,226,204,193,555,
411,794,676,375,978,581,234,704,692,015,286,469,504,924,385,502,237,801,072,
200,534,283,879,769,506,236,687,192,734,470,150,628,379,555,988,948,179,934,
052,165,955,573,018,827,690,259,480,461,971,496,625,855,203,767,351,500,968,
725,343,076,633,678,218,520,516,574,994,383,391,788,015,684,191,872,179,617,
345,357,521,661,318,979,505,350,442,949,840,296,349,606,807,990,509,440,251,
501,216,204,427,794,325,373,706,327,331,143,732,173,392,095,218,128,634,637,
309,389,212,017,554,498,527,357,250,828,720,357,091,100,020,002,082,873,776,
276,319,332,307,208,040,233,890,638,961,911,934,716,844,518,397,217,188,242,
895,986,045,248,301,648,228,728,872,719,026,742,071,460,419,440,991,536,913,
394,401,611,096,521,298,259,432,283,157,196,596,604,448,758,674,417,662,868,
215,163,517,889,774,826,475,863,672,448,124,560,470,134,396,840,532,036,234,
243,395,420,823,722,618,381,096,505,375,059,126,024,532,303,892,538,544,462,
268,875,097,740,995,224,073,691,096,726,784,608,724,007,449,783,539,467,717,
985,482,160,063,866,671,995,251,457,468,397,317,386,538,729,126,760,819,192,
004,616,285,485,023,641,561,748,553,074,982,806,920,177,550,647,868,254,801,
587,701,030,493,835,776,737,459,024,942,613,826,421,035,339,528,905,180,895,
565,768,196,054,832,722,989,643,707,314,748,076,049,783,119,575,098,195,402,
443,133,007,046,637,809,427,478,207,318,845,087,612,727,146,700,724,396,325,
295,585,364,534,564,019,463,405,185,891,856,528,944,387,199,568,138,771,136,
551,834,999,434,960,592,513,484,000,358,018,588,808,264,938,566,453,330,372,
316,536,792,170,599,047,612,036,316,529,077,999,575,888,241,527,819,477,363,
235,788,800,244,435,136,222,002,283,066,361,487,747,331,940,437,661,424,874,
201,313,998,215,903,360,721,356,456,034,900,263,466,326,866,276,332,731,179,
173,868,634,188,501,679,490,455,964,945,026,570,894,120,608,234,270,516,821,
229,091,001,147,129,701,258,662,856,495,606,489,250,233,643,396,728,801,823,
866,864,300,413,278,694,978,757,718,597,295,174,997,029,166,652,868,689,986,
485,824,198,907,956,790,535,269,479,423,988,428,286,559,226,529,602,422,410,
352,969,835,592,867,572,681,580,799,439,656,823,968,539,262,095,621,530,434,
339,787,854,341,048,952,502,805,188,394,414,870,512,493,258,842,989,512,883,
914,366,944,544,574,037,413,818,646,048,832,379,352,158,220,147,409,213,181,
948,313,889,385,188,319,139,189,922,396,395,662,536,569,533,580,247,132,668,
530,778,367,294,657,364,465,787,364,874,286,105,565,060,024,674,325,734,742,
832,226,010,870,466,676,782,058,222,981,348,531,827,067,661,517,443,078,309,
324,044,028,702,002,385,230,650,807,158,781,743,481,586,367,308,273,363,923,
932,837,292,272,161,433,033,703,236,156,895,297,969,720,552,651,575,536,995,
029,666,929,985,970,230,999,731,723,335,386,435,100,867,715,751,623,854,408,
567,506,789,322,390,440,878,005,520,350,985,695,016,116,063,099,730,559,538,
565,456,870,192,448,113,295,353,846,768,815,126,930,016,250,407,482,170,719,
564,733,180,866,701,830,220,343,468,639,861,121,249,897,202,727,145,363,257,
323,502,685,947,245,304,718,160,346,344,539,997,848,464,635,579,407,284,347,
172,061,224,028,534,303,930,856,476,268,386,084,569,310,477,195,903,746,647,
282,120,184,896,707,120,952,982,558,147,261,817,412,737,556,615,123,265,980,
509,652,052,175,642,433,448,364,672,401,379,589,321,928,347,557,444,209,916,
819,927,274,739,621,556,404,267,875,231,865,926,398,266,400,349,348,382,291,
913,078,874,179,566,089,387,310,182,784,400,096,246,417,768,553,781,700,838,
858,203,065,268,973,925,545,993,627,973,695,993,768,254,916,755,962,945,311,
119,933,360,901,165,085,899,522,677,708,950,399,683,835,738,219,841,133,440,
058,484,006,853,145,997,935,436,434,083,509,947,609,376,966,524,536,041,350,
055,470,244,987,573,825,735,831,476,162,911,119,695,354,930,525,450,151,977,
640,910,529,354,869,812,067,292,225,128,501,491,650,024,524,978,291,058,240,
607,016,891,238,471,824,343,229,663,448,090,964,385,823,328,397,284,587,263,
649,868,900,853,794,604,130,834,738,482,528,165,133,628,395,294,857,295,096,
458,265,284,140,430,737,516,931,340,260,194,772,683,254,212,666,058,614,067,
991,869,368,210,068,810,047,414,589,125,079,467,967,357,770,472,608,255,851,
786,759,144,689,267,536,598,549,438,927,549,155,275,568,229,739,647,279,733,
429,055,884,995,305,179,265,297,113,253,902,800,231,342,048,303,665,590,609,
403,255,613,920,007,721,922,509,192,657,002,030,251,665,185,804,367,967,095,
461,703,656,988,918,448,527,047,156,257,107,399,654,578,891,822,600,455,647,
099,446,654,172,293,285,207,670,807,972,203,986,277,939,012,103,220,189,892,
124,564,219,927,547,177,738,526,653,354,325,937,223,581,314,248,604,956,615,
513,257,980,201,455,166,304,823,355,218,322,184,908,197,571,204,544,175,187,
197,058,884,827,573,305,905,467,869,948,537,086,706,224,372,485,932,122,192,
247,717,553,344,674,990,561,922,391,494,168,116,389,080,639,884,554,874,450,
833,862,191,548,421,185,856,049,328,593,881,806,045,477,704,886,387,469,089,
883,813,594,079,114,234,550,878,802,637,925,081,834,294,577,482,654,872,299,
112,934,134,152,153,222,102,365,991,298,321,565,370,500,960,197,589,927,328,
764,326,519,938,456,898,850,113,603,674,121,003,138,322,460,098,683,281,677,
257,813,357,243,899,349,510,873,819,258,157,344,702,863,227,290,966,774,381,
097,514,569,586,878,104,758,622,628,210,867,820,987,852,580,405,462,983,659,
468,739,928,331,234,385,524,610,144,334,376,890,606,621,425,190,398,023,799,
458,732,209,061,788,316,695,313,591,528,215,381,468,276,441,127,940,640,981,
685,687,529,944,884,277,511,309,296,760,250,084,739,823,465,907,000,545,874,
929,410,405,840,593,349,727,046,368,989,976,701,974,160,136,968,686,143,331,
975,703,350,326,689,865,572,241,523,000,090,211,274,285,378,235,847,784,185,
895,752,998,550,945,994,015,565,532,504,229,177,827,115,037,397,668,715,952,
144,927,942,907,351,220,016,282,921,755,962,339,148,290,675,785,394,380,500,
761,804,828,441,557,575,743,695,928,392,171,853,679,043,676,005,612,432,296,
773,335,543,420,202,252,925,886,134,502,466,309,952,144,718,188,025,820,942,
638,462,936,989,461,514,682,327,623,241,278,696,547,215,112,860,374,154,213,
130,717,364,599,738,408,565,368,936,350,044,729,833,451,694,986,920,284,820,
602,163,304,610,205,809,512,296,777,772,654,892,811,952,622,311,011,058,222,
679,259,049,966,723,334,318,035,768,952,498,712,484,695,355,752,953,160,247,
999,493,707,686,685,098,948,914,453,030,882,673,225,067,193,149,016,495,486,
532,994,197,636,801,835,225,610,809,112,832,121,193,340,980,177,638,546,354,
219,802,397,261,296,702,820,410,292,548,850,893,641,964,534,055,232,468,306,
598,096,112,837,371,476,463,266,102,268,051,745,936,381,666,164,494,013,848,
681,321,342,431,782,415,276,992,270,838,454,970,575,857,419,446,347,225,822,
084,171,709,978,652,393,486,999,703,353,428,878,511,582,480,151,229,846,113,
624,026,920,861,700,356,659,769,555,229,234,292,605,525,582,632,804,164,102,
066,612,377,686,645,948,019,499,225,282,778,248,314,952,683,464,363,944,037,
972,021,887,815,075,395,511,277,385,877,991,236,245,900,602,039,580,971,177,
275,672,465,504,354,557,515,214,944,624,299,086,197,383,113,973,001,512,118,
390,802,471,256,890,582,685,287,989,666,692,178,584,338,149,144,752,903,618,
241,440,441,573,947,094,564,027,067,048,572,300,624,106,149,279,857,609,883,
804,723,902,283,727,666,271,156,427,512,683,841,380,863,456,417,909,857,711,
433,453,036,657,123,090,503,039,259,080,046,756,925,604,777,195,611,084,274,
818,498,622,804,827,892,961,012,281,248,928,218,920,184,331,167,138,503,261,
963,168,059,224,744,188,401,634,998,833,624,122,552,393,358,524,155,449,680,
418,796,600,142,542,312,650,537,688,329,911,645,116,645,225,014,622,988,656,
264,614,988,405,783,602,427,473,412,657,816,426,472,043,917,887,684,375,162,
150,389,899,656,677,950,072,159,071,437,420,140,281,444,528,222,925,665,530,
141,283,080,561,999,581,430,765,023,889,453,683,754,825,729,628,607,255,021,
358,673,604,707,401,887,530,906,162,012,929,265,752,846,723,824,451,369,216,
615,859,866,911,880,801,614,064,540,784,336,409,390,308,314,727,217,188,761,
422,438,566,282,017,895,939,572,876,240,337,946,384,035,949,876,159,652,881,
268,010,623,493,099,839,676,270,109,923,109,660,337,223,267,434,717,575,098,
624,646,646,212,764,493,706,280,495,243,838,284,407,227,346,654,828,382,221,
019,103,673,310,649,345,824,198,936,146,174,289,021,487,111,058,006,742,263,
312,637,036,928,210,131,578,595,633,569,933,640,951,108,419,463,570,582,724,
034,112,112,252,771,954,429,257,163,263,710,513,137,495,283,845,670,105,686,
138,243,772,580,845,104,701,242,841,211,529,019,050,174,182,966,629,977,535,
687,346,482,081,470,815,159,473,409,832,168,763,899,780,441,893,233,856,211,
991,926,802,272,974,757,929,461,642,936,292,611,517,538,690,057,502,346,290,
793,637,593,707,979,980,974,663,293,458,592,887,403,023,839,884,686,413,727,
277,412,264,180,874,529,431,606,372,474,692,214,092,000,528,959,393,505,537,
338,990,063,218,705,057,042,594,209,681,441,309,664,612,552,471,711,319,326,
785,826,489,873,894,081,817,764,664,177,951,889,097,293,889,830,522,285,480,
028,762,859,615,949,803,746,531,180,080,206,856,292,239,433,740,126,490,207,
911,674,518,608,990,191,941,943,594,078,576,899,331,517,456,809,089,451,742,
064,106,986,393,854,400,762,934,002,353,813,850,647,495,394,667,345,233,694,
973,570,366,641,482,590,687,490,303,989,596,217,903,711,714,316,206,148,822,
614,608,181,214,046,369,345,815,208,579,041,682,717,791,202,228,567,967,100,
573,279,914,304,986,669,132,069,504,381,370,251,101,721,383,708,396,094,301,
787,633,921,776,360,008,009,808,963,615,597,026,625,333,711,729,711,262,460,
295,776,321,987,834,852,269,549,178,698,340,275,087,705,094,202,350,406,062,
721,365,162,849,296,359,087,756,202,260,223,659,240,486,627,004,337,116,311,
488,052,610,446,849,249,146,379,047,592,699,127,523,056,885,501,713,127,787,
313,760,265,213,329,448,713,580,576,842,323,752,213,740,760,619,445,773,607,
065,606,323,471,174,762,468,014,796,206,622,593,948,730,442,742,563,528,770,
376,032,958,101,106,104,111,951,796,018,659,447,864,763,178,971,670,274,605,
435,641,366,264,931,551,775,101,472,668,714,021,383,974,824,574,885,425,161,
160,754,480,898,099,165,681,197,170,079,784,752,387,382,283,740,789,591,478,
023,033,679,239,551,442,136,771,113,203,861,170,623,988,616,478,250,339,067,
907,053,248,607,561,754,461,815,730,172,732,516,092,855,468,418,432,490,877,
461,737,452,225,700,392,813,304,891,189,081,398,064,635,400,377,799,618,467,
059,611,094,807,080,865,955,361,227,918,375,349,190,383,510,086,871,092,057,
079,588,429,738,370,065,740,292,242,004,875,277,500,283,760,700,969,550,783,
880,369,213,377,545,374,124,964,290,726,996,543,458,176,699,449,341,060,950,
126,316,503,450,605,664,155,002,227,678,599,747,567,282,272,187,843,608,233,
175,919,680,053,408,459,118,610,547,607,621,783,715,894,913,578,205,604,787,
883,744,260,669,607,446,477,184,293,906,003,436,496,479,988,907,519,985,990,
663,179,762,975,648,366,370,021,101,521,446,153,414,785,612,072,374,295,849,
829,832,699,415,424,182,239,773,080,361,491,713,891,898,211,710,612,208,439,
144,104,771,065,997,303,931,405,647,862,149,985,428,741,780,904,882,572,902,
143,495,425,026,813,082,975,941,649,054,847,062,784,157,719,373,203,025,515,
229,448,940,390,379,900,061,227,189,888,466,844,794,032,240,532,472,618,786,
714,797,938,911,779,837,191,409,553,582,005,991,689,249,388,553,803,627,796,
731,442,073,946,890,244,151,786,618,615,173,106,825,244,053,766,977,343,880,
770,774,242,317,537,367,925,677,657,873,693,112,553,354,803,875,948,475,984,
202,700,716,926,306,485,125,542,782,135,356,974,708,859,408,738,159,908,986,
921,893,923,299,845,448,236,208,662,203,773,910,324,049,445,610,746,608,683,
718,408,136,424,400,463,794,670,101,537,593,118,332,938,785,009,570,721,089,
424,186,469,281,391,275,007,848,964,481,260,243,094,416,483,531,819,412,135,
003,558,708,419,771,598,382,098,724,684,132,919,569,506,300,107,179,004,121,
461,475,875,338,755,530,352,349,556,045,551,201,495,140,971,059,032,077,298,
072,228,712,136,228,708,849,119,749,379,125,433,198,071,827,244,946,750,827,
511,267,495,448,306,826,829,879,760,673,643,188,781,587,363,028,925,872,079,
539,368,808,153,984,698,834,003,617,330,386,463,791,673,134,814,932,630,345,
908,914,321,523,678,645,776,955,922,763,143,091,641,788,041,345,911,745,571,
899,195,137,482,548,192,699,631,787,061,074,974,843,053,868,411,542,094,711,
003,805,983,691,720,896,670,632,143,192,931,269,386,969,603,659,376,163,410,
122,119,941,958,855,760,317,560,751,584,456,363,907,549,389,377,837,446,280,
787,652,548,670,596,966,234,619,640,691,051,339,462,826,842,670,696,869,823,
057,529,611,022,286,340,189,654,235,644,439,026,835,919,817,182,550,638,501,
632,599,890,665,101,994,734,442,109,664,920,390,686,170,476,248,642,779,982,
675,254,674,775,067,882,136,593,826,149,012,561,900,518,902,396,864,071,720,
668,724,534,934,939,128,035,447,151,819,897,725,438,160,605,348,538,847,598,
766,184,220,163,251,961,273,488,471,658,048,970,059,699,236,278,218,741,281,
115,178,548,242,126,892,550,975,242,989,173,967,222,630,286,950,624,158,752,
654,107,954,111,070,688,902,257,640,602,223,526,513,969,616,446,616,665,619,
358,431,549,903,613,662,975,993,721,027,873,451,329,177,696,341,746,316,832,
306,807,080,603,655,117,392,209,672,326,933,596,498,663,544,444,726,667,296,
960,153,471,317,890,849,490,960,918,588,375,047,556,804,149,099,183,434,994,
158,128,780,524,604,346,467,876,421,139,285,245,973,047,341,833,486,845,690,
893,639,571,195,797,652,168,891,637,273,272,834,084,493,041,977,489,958,202,
701,942,882,977,715,066,918,492,540,432,578,813,349,309,419,177,747,988,833,
322,158,550,144,736,493,740,973,433,281,339,952,123,062,119,663,050,069,420,
429,440,174,398,504,949,677,806,735,163,501,479,754,755,341,012,738,429,302,
040,764,871,808,269,221,590,479,225,250,875,679,972,237,890,078,134,379,812,
223,783,794,903,445,053,980,317,408,826,963,528,774,232,587,875,769,182,534,
146,833,392,843,011,470,765,054,666,917,930,726,892,377,028,254,183,854,704,
305,277,042,358,797,828,639,063,985,098,088,791,979,829,495,766,436,538,733,
735,139,778,771,302,456,351,416,662,656,006,151,467,799,650,069,629,239,462,
854,446,092,496,954,244,901,819,578,681,459,553,445,880,822,666,887,308,347,
623,523,194,106,271,792,997,467,836,333,383,719,069,942,267,273,120,125,868,
515,754,188,986,560,773,521,253,272,853,637,829,706,821,008,219,190,414,750,
378,445,830,823,862,150,719,764,432,036,565,652,138,188,876,666,041,440,880,
063,648,807,351,737,363,830,268,761,196,422,853,174,073,717,199,509,075,785,
357,172,011,848,632,917,321,839,401,960,359,388,467,990,840,838,316,709,647,
048,833,177,101,039,738,138,365,688,075,970,500,013,338,351,490,015,503,242,
011,115,630,851,241,335,238,543,297,015,189,402,286,322,015,025,372,666,271,
207,400,023,163,390,917,636,357,085,918,910,371,706,046,547,031,970,226,338,
938,906,037,309,576,893,028,269,136,544,374,696,155,582,258,716,277,743,369,
271,037,827,076,518,358,395,482,486,225,185,091,494,066,331,218,262,969,716,
317,699,100,851,475,215,144,176,384,602,969,029,381,711,916,520,792,990,564,
348,655,840,869,251,428,757,854,265,227,530,053,043,275,713,303,546,699,367,
731,016,761,008,833,257,627,988,737,506,588,358,394,853,339,563,777,918,207,
753,635,679,947,355,449,279,009,265,484,337,102,913,134,865,162,365,856,971,
911,149,896,360,132,214,411,911,553,526,294,292,425,632,153,608,726,438,940,
344,152,542,442,854,876,399,054,115,237,251,192,336,705,526,679,084,998,212,
441,851,704,595,729,975,570,046,758,881,075,622,292,402,737,219,741,362,123,
629,175,076,018,987,992,761,170,790,218,526,011,052,307,990,744,076,701,224,
502,720,179,274,149,372,008,995,434,304,075,221,330,829,999,165,487,201,856,
195,701,725,811,238,555,608,890,782,387,878,011,106,600,938,999,077,903,393,
499,759,139,427,483,139,656,540,315,871,281,248,202,852,720,099,354,359,634,
668,894,492,946,755,820,719,295,827,897,166,792,359,734,316,766,993,022,681,
276,662,601,968,066,817,531,561,583,968,618,215,501,372,964,673,115,835,142,
462,200,834,788,601,008,744,482,460,221,097,961,684,248,306,048,283,320,107,
499,350,879,251,459,287,182,191,691,266,087,887,385,957,994,469,847,658,645,
587,433,039,634,603,504,396,359,667,523,431,473,152,864,828,564,112,361,156,
065,218,816,508,337,570,727,312,140,020,607,008,633,099,640,799,057,088,290,
604,195,927,742,742,482,407,207,966,941,836,187,217,356,731,939,627,340,197,
056,155,196,273,329,111,666,143,968,211,979,713,919,396,113,262,014,911,263,
382,536,770,130,926,456,166,663,758,956,787,337,705,556,508,993,255,538,117,
942,598,366,389,375,752,069,434,308,528,937,095,170,078,144,210,395,655,125,
886,011,714,480,999,073,878,741,984,811,417,136,497,558,371,078,219,681,681,
835,311,288,008,998,815,058,483,451,465,126,248,798,523,560,480,463,981,411,
318,125,897,004,087,796,033,639,064,140,949,727,669,994,782,502,718,105,969,
765,560,531,786,396,134,438,775,169,217,976,138,276,338,645,949,027,022,963,
375,183,688,923,720,392,462,027,610,967,762,045,841,870,154,404,323,305,684,
245,495,483,644,395,364,169,004,738,328,353,349,143,319,598,128,933,531,247,
853,736,766,416,269,450,854,134,195,248,982,145,679,908,263,714,809,721,005,
941,843,555,784,078,564,233,962,789,758,543,970,437,428,155,754,785,851,130,
564,209,597,484,939,697,436,589,877,806,449,511,081,066,683,361,339,290,922,
492,429,335,965,279,121,327,107,400,647,651,960,474,253,077,460,459,668,008,
163,641,519,271,494,304,251,927,350,339,371,235,237,922,708,992,868,311,080,
042,638,595,430,769,054,737,286,348,187,306,459,602,765,554,582,070,984,056,
904,103,016,081,282,857,916,801,366,814,346,170,082,700,397,387,266,508,991,
987,751,683,987,844,290,775,750,324,629,795,647,765,822,539,329,138,432,051,
445,285,083,667,425,626,105,902,602,874,364,011,116,471,524,580,501,785,350,
615,510,825,639,717,800,329,246,286,772,400,030,729,366,082,225,697,384,382,
328,175,694,765,858,088,857,177,509,960,054,037,850,237,848,787,365,320,635,
612,099,288,035,950,583,777,106,665,717,527,855,698,019,752,210,420,108,916,
131,793,534,163,785,643,025,588,504,341,698,664,709,215,180,657,933,699,210,
449,181,203,665,376,764,210,379,414,753,174,918,127,433,571,284,779,626,675,
791,530,188,795,570,978,673,408,918,035,805,576,173,266,524,701,454,925,895,
106,113,867,874,662,992,252,011,344,778,646,339,113,279,248,113,839,107,123,
880,665,795,191,903,179,414,856,380,872,242,949,316,812,089,914,701,426,999,
388,119,600,739,870,731,665,043,452,017,230,139,387,095,045,348,752,701,081,
722,324,537,349,217,625,893,696,785,238,026,622,123,603,514,198,729,607,827,
695,570,492,925,592,554,154,438,490,694,193,289,203,175,937,453,685,744,093,
595,802,968,577,024,467,132,865,969,405,877,745,069,673,076,544,043,906,335,
060,948,329,996,886,664,443,462,574,744,373,999,028,161,869,627,913,067,417,
011,290,711,656,694,798,342,577,345,345,016,514,201,371,468,599,005,538,877,
514,046,295,877,995,383,557,518,367,034,049,944,390,484,024,620,809,045,031,
085,222,817,921,207,695,825,090,690,860,866,495,331,170,122,002,350,143,509,
733,661,888,508,569,417,011,952,936,184,175,390,039,090,885,572,906,221,944,
551,237,799,631,474,994,755,439,683,193,862,399,663,711,315,865,338,100,729,
729,016,585,946,513,832,500,708,521,110,458,219,470,072,201,282,262,806,950,
073,692,631,533,352,054,702,408,278,686,412,099,453,049,300,926,505,806,201,
999,305,057,221,914,978,445,186,797,090,219,332,221,997,260,113,592,674,465,
446,570,094,293,319,857,412,029,916,914,521,609,208,125,283,422,009,380,306,
766,421,465,534,405,483,434,217,558,481,784,669,072,983,887,736,425,929,282,
126,801,872,214,680,403,512,407,909,186,293,287,792,639,984,371,448,593,570,
892,416,687,214,753,731,325,219,660,383,217,392,827,201,030,194,398,497,451,
168,922,229,241,044,522,134,627,884,577,040,801,476,388,629,818,969,965,832,
985,279,537,459,855,135,968,985,470,888,485,452,970,663,623,388,614,493,432,
407,309,486,017,824,936,189,538,479,830,531,744,065,703,801,461,246,479,341,
086,182,883,592,817,575,084,186,377,855,952,962,056,413,875,556,038,307,753,
236,454,417,672,753,387,326,281,669,316,237,464,631,538,764,338,412,266,088,
540,074,159,285,035,828,776,938,967,464,442,915,696,440,004,982,647,950,895,
315,863,040,953,722,864,289,435,414,373,597,655,083,945,844,321,897,811,823,
066,856,671,034,976,387,586,212,110,267,327,254,101,266,918,883,788,613,376,
944,114,068,985,787,025,936,386,764,779,507,738,644,982,479,429,634,764,518,
821,864,084,211,978,561,458,028,303,270,109,970,408,668,829,237,056,782,414,
550,317,108,076,146,518,256,515,874,774,169,907,401,436,218,704,360,382,059,
037,566,299,734,817,326,970,659,532,115,203,870,595,623,020,414,089,829,265,
578,176,406,504,167,537,533,721,651,907,038,170,179,194,118,349,734,350,448,
080,027,658,859,875,335,422,958,195,773,462,801,280,959,111,652,418,992,895,
631,389,093,513,484,070,691,232,427,763,508,438,734,568,942,778,351,412,292,
469,224,754,336,872,618,928,766,725,492,741,300,972,526,306,151,269,502,299,
699,906,559,670,775,760,901,783,081,213,793,470,589,286,214,205,222,511,932,
114,834,866,674,928,714,848,547,278,398,487,550,114,289,228,458,679,158,387,
264,022,446,166,072,545,078,712,317,386,278,206,849,872,261,581,914,967,109,
441,028,524,982,073,831,496,403,210,697,174,927,233,807,296,899,317,239,473,
245,543,048,300,936,827,027,510,554,984,105,373,914,599,477,090,507,478,009,
797,264,708,741,601,662,767,651,151,342,041,266,063,639,309,506,498,636,413,
496,208,639,226,778,237,920,962,498,784,918,079,532,249,797,626,802,589,315,
103,599,414,885,047,300,607,265,306,642,505,951,084,614,400,573,823,190,356,
093,109,291,900,513,980,978,639,477,958,933,640,516,250,856,077,599,710,828,
305,651,947,650,895,357,547,365,353,138,719,196,248,421,848,979,877,198,862,
719,854,237,612,402,787,940,402,122,197,468,151,641,174,249,989,995,601,549,
163,791,786,570,086,011,456,531,691,167,921,488,436,756,734,794,805,645,698,
407,917,820,139,040,197,587,546,899,634,111,199,031,947,242,620,760,456,952,
319,910,329,905,528,681,781,078,304,353,751,203,563,126,997,950,783,947,447,
306,225,449,010,949,331,728,889,124,910,969,023,325,860,367,362,522,997,644,
998,790,064,330,967,842,593,868,494,164,589,427,763,189,524,808,352,539,151,
761,882,817,837,629,774,359,922,779,797,236,994,337,153,235,757,570,235,663,
307,181,314,738,412,650,010,434,093,765,825,709,335,604,879,500,450,375,270,
892,121,130,352,072,737,706,671,565,108,395,527,456,841,304,575,699,195,246,
475,307,835,081,325,200,510,424,142,505,492,820,136,280,839,171,209,399,662,
851,359,385,026,896,069,333,706,768,617,101,076,379,675,109,331,686,476,456,
175,649,678,560,773,208,292,005,971,042,128,443,066,749,052,067,437,328,516,
559,459,423,434,575,891,770,556,381,999,719,893,816,260,333,812,505,201,702,
162,853,218,205,289,892,961,253,015,016,794,606,432,312,251,677,845,745,629,
910,998,745,149,284,828,004,509,860,160,535,413,539,078,687,376,636,641,022,
161,386,784,386,934,167,534,807,522,471,862,870,398,887,765,919,482,375,943,
885,430,469,454,958,631,547,638,623,410,528,503,467,215,600,689,011,649,208,
488,485,216,452,059,361,962,655,144,719,267,426,665,786,522,912,196,114,421,
725,654,571,318,336,416,051,361,154,276,707,771,203,662,501,324,413,978,276,
817,340,223,664,758,218,055,557,603,591,951,439,188,874,612,810,687,139,857,
460,525,246,732,345,717,176,281,485,104,029,309,960,141,252,465,237,640,775,
023,116,964,854,398,168,346,176,527,502,284,715,168,837,945,871,967,883,429,
702,676,444,052,220,965,181,068,578,262,225,180,849,626,080,167,626,013,218,
052,958,885,836,336,021,488,922,268,124,406,027,746,545,154,061,326,586,225,
659,172,819,110,085,918,168,340,968,242,115,613,444,269,892,514,321,248,360,
829,563,138,520,532,361,955,461,669,623,271,971,902,129,149,030,003,443,120,
143,485,401,625,589,992,565,126,832,515,050,069,450,105,274,030,670,732,697,
046,721,784,875,219,392,346,511,460,549,972,779,404,780,013,939,854,208,387,
989,709,933,462,621,366,158,958,766,444,439,147,427,011,931,303,865,319,984,
404,211,167,751,019,042,635,525,458,930,623,455,902,927,017,884,201,969,034,
323,711,090,398,780,713,885,805,280,725,452,306,627,505,927,659,549,464,888,
021,197,154,351,133,563,110,660,704,123,095,853,735,558,372,130,118,814,808,
676,103,768,293,622,126,806,926,915,878,976,799,211,555,296,186,506,760,009,
635,068,796,170,618,865,828,675,749,985,344,130,264,691,863,625,226,983,929,
771,572,612,806,967,546,710,732,947,477,741,483,585,515,874,620,041,482,441,
004,374,345,854,361,357,366,071,418,357,569,892,242,655,413,260,336,680,559,
919,289,164,448,162,902,949,016,509,947,287,109,060,178,530,946,865,819,603,
059,331,403,304,858,786,623,878,899,701,752,932,583,764,001,409,284,698,975,
051,116,330,504,242,568,055,686,479,750,408,018,721,010,954,592,560,138,284,
392,402,928,971,461,674,190,451,072,903,019,325,418,933,025,489,572,160,975,
202,684,674,940,983,793,310,658,404,279,306,454,271,132,852,796,570,747,703,
638,739,980,307,088,313,951,453,735,059,509,828,569,064,888,135,430,437,027,
181,376,526,310,264,654,559,693,327,895,647,172,113,048,271,883,400,892,156,
133,274,046,091,700,422,757,620,240,145,509,464,271,340,550,993,945,744,955,
034,895,699,548,262,433,512,099,665,088,150,247,818,410,605,851,937,899,640,
830,190,679,667,329,183,503,664,617,245,730,890,989,437,557,121,205,613,392,
771,037,344,385,337,173,407,566,854,900,188,864,067,299,400,705,656,939,754,
790,367,429,438,361,692,374,793,632,704,577,483,234,440,223,359,576,462,552,
765,969,952,269,793,561,068,993,351,260,478,063,848,689,308,188,656,156,622,
299,054,005,618,955,984,709,094,817,513,979,234,058,367,630,047,548,679,753,
645,517,923,701,225,910,807,144,709,391,542,630,811,697,085,323,405,430,362,
276,522,776,991,497,987,721,303,245,040,366,952,759,888,842,863,139,940,017,
990,909,377,206,650,050,917,824,613,938,504,267,952,480,790,621,282,813,848,
538,619,620,210,946,217,454,944,314,009,007,713,080,854,925,675,389,222,318,
060,422,998,808,025,962,319,519,205,239,191,201,622,169,705,125,621,619,846,
744,787,458,075,425,255,548,008,566,802,358,240,221,651,615,411,917,291,658,
438,536,181,940,913,546,976,520,174,611,817,094,809,469,351,566,138,857,162,
616,563,431,511,918,620,279,710,904,745,658,487,708,721,764,101,857,958,244,
592,082,093,975,164,249,749,533,441,380,222,139,887,184,001,467,124,491,205,
970,694,596,475,557,002,538,350,050,159,221,254,684,720,746,719,549,216,731,
718,833,745,175,507,911,421,993,788,022,086,772,276,371,493,593,562,075,889,
213,864,599,818,541,748,702,539,647,635,109,076,631,939,158,631,373,012,064,
981,989,897,338,392,640,727,236,953,670,742,637,706,902,912,286,928,980,460,
358,691,854,419,182,031,359,465,076,724,411,588,305,182,492,347,712,313,291,
307,702,419,658,148,977,960,249,579,187,195,783,046,539,001,756,554,987,207,
406,868,759,059,098,582,228,186,854,686,422,583,624,989,881,645,495,307,717,
333,859,649,476,083,817,059,754,543,940,640,569,184,448,316,856,446,727,727,
588,642,887,122,220,010,874,207,791,712,730,777,028,817,275,778,021,501,331,
751,820,270,620,157,773,679,001,170,677,505,017,045,652,251,874,074,503,031,
389,487,390,804,361,705,825,925,833,023,324,130,080,062,393,956,082,343,017,
337,718,076,024,283,110,699,765,977,032,486,485,774,614,880,525,924,546,685,
307,446,532,566,338,261,643,257,586,356,936,639,239,279,821,677,942,024,034,
532,779,555,134,194,858,580,262,795,947,573,748,526,274,679,521,217,313,865,
415,624,503,679,814,193,611,071,167,494,010,779,079,878,767,485,027,561,750,
073,165,045,699,026,570,605,040,718,243,178,463,272,131,736,933,302,731,971,
661,773,368,824,211,209,977,413,811,988,168,518,232,406,783,489,995,982,518,
350,191,372,445,228,519,246,093,992,646,488,136,847,892,584,665,569,902,190,
754,883,354,363,759,873,854,864,928,246,919,155,988,333,207,942,219,827,580,
062,224,331,130,012,895,184,897,694,860,707,306,231,365,061,744,003,552,617,
831,307,115,795,416,220,756,848,725,308,201,076,909,273,777,413,794,265,302,
398,272,037,524,491,697,963,496,617,213,065,871,153,971,065,584,460,699,153,
570,262,836,793,912,007,407,030,603,134,754,914,812,211,934,833,262,031,497,
944,621,325,027,949,121,785,589,073,881,702,929,596,599,749,158,983,738,847,
892,909,423,859,994,852,190,422,978,256,055,977,106,789,117,250,878,652,778,
723,481,817,084,715,022,767,688,908,705,935,051,944,354,350,854,286,533,082,
787,741,422,085,860,430,818,366,978,547,442,676,220,135,480,606,310,888,046,
443,437,211,818,801,025,661,903,194,688,779,536,142,413,531,825,557,775,499,
320,000,508,228,075,967,975,006,519,833,703,110,253,664,357,396,321,160,945,
680,351,189,015,223,056,884,855,030,125,210,313,954,779,395,141,703,419,761,
579,110,554,500,703,014,411,576,122,236,336,379,989,187,043,689,433,943,566,
666,124,955,420,207,819,635,713,341,371,325,206,290,180,172,952,928,903,720,
950,431,721,532,177,480,517,766,946,740,638,322,047,314,473,277,781,490,345,
822,492,764,423,592,699,290,467,447,800,186,672,454,706,088,441,744,039,812,
956,006,561,597,886,790,403,093,224,431,757,413,381,281,686,241,914,535,685,
596,273,502,464,442,822,402,315,203,852,487,895,539,174,082,571,037,562,905,
547,792,651,889,301,573,214,687,042,505,425,812,920,508,804,242,040,192,954,
529,714,087,637,404,788,090,760,983,805,380,535,611,107,390,650,616,094,262,
816,329,913,638,075,662,357,288,508,139,637,569,204,388,232,696,104,535,362,
828,529,469,759,098,042,592,993,231,705,551,941,336,574,811,433,829,193,736,
621,660,779,669,388,875,622,003,967,554,286,591,286,577,168,048,935,146,608,
224,048,919,704,384,115,306,308,458,686,412,759,816,337,266,368,592,841,701,
928,272,895,655,671,304,946,091,005,042,507,150,173,853,775,447,973,231,846,
751,960,379,422,763,629,760,027,001,909,900,351,003,710,391,499,160,918,680,
581,774,829,852,669,051,442,306,194,367,461,142,636,199,118,947,926,520,308,
664,076,180,577,733,931,335,031,045,106,900,281,179,575,411,574,370,375,243,
670,027,293,116,541,762,920,004,915,677,885,201,005,151,162,240,996,169,170,
363,200,383,823,977,423,903,628,266,992,184,761,506,122,090,163,594,731,772,
319,411,624,212,649,993,784,651,277,954,061,635,216,998,575,504,738,573,805,
193,867,829,536,273,452,309,994,828,574,224,931,360,109,277,812,348,693,408,
667,219,014,154,321,110,572,582,399,759,554,833,521,546,012,527,888,787,151,
984,279,979,432,324,151,259,686,607,601,018,006,371,832,017,973,783,028,391,
388,034,750,777,028,088,112,718,401,667,256,302,073,891,136,009,328,103,205,
712,515,929,759,573,646,864,322,975,046,640,819,350,172,371,886,834,317,530,
609,830,244,896,804,351,252,089,131,421,418,219,394,914,834,839,624,534,780,
029,636,935,064,534,544,942,999,403,231,330,980,593,363,389,686,861,773,089,
234,654,459,487,069,601,994,948,422,593,619,773,975,820,634,740,665,870,434,
605,898,900,197,943,232,243,825,786,824,343,063,003,004,066,752,380,242,900,
801,763,809,866,006,685,845,954,727,977,937,137,143,170,976,817,032,696,048,
410,850,883,255,461,261,494,356,917,524,221,107,980,779,546,020,206,572,213,
078,506,115,812,942,528,242,424,511,611,258,424,199,888,817,227,935,788,811,
858,459,232,775,787,009,628,380,326,360,855,011,706,906,542,618,357,947,275,
807,069,952,730,645,596,998,833,199,353,686,181,561,420,208,330,527,714,901,
936,288,898,210,106,156,842,936,607,412,537,935,213,679,063,807,922,223,073,
847,050,912,787,932,734,404,123,955,864,672,865,554,353,851,346,325,352,178,
662,047,438,640,318,822,878,262,323,674,227,221,219,154,932,927,086,218,590,
856,917,009,138,663,971,870,537,632,213,318,225,662,702,328,821,200,600,692,
495,023,547,095,389,618,626,050,261,162,336,134,228,243,567,706,080,299,807,
369,816,589,399,285,551,982,606,746,006,525,870,005,255,549,847,208,422,818,
270,099,225,927,741,028,475,363,404,126,168,028,246,613,019,725,056,847,552,
821,579,220,724,254,244,746,781,525,927,567,887,693,411,606,516,546,643,643,
480,290,223,546,462,575,184,964,979,956,923,209,054,101,909,239,185,494,043,
052,525,339,604,948,468,739,601,662,971,672,151,625,406,098,916,405,709,770,
884,831,549,982,984,138,263,209,524,278,483,065,651,713,642,988,243,131,131,
109,503,349,315,141,642,635,073,822,833,676,832,883,613,503,239,145,361,093,
582,854,044,615,097,620,791,102,717,416,747,113,179,022,676,664,585,867,177,
530,849,861,521,688,307,263,847,903,671,490,130,874,557,188,149,691,462,021,
598,054,474,686,345,910,725,558,357,674,480,824,561,805,741,715,999,382,592,
183,572,035,141,226,960,688,391,450,438,739,108,829,055,424,367,208,544,665,
263,352,218,206,359,430,046,701,082,949,766,153,239,011,316,468,412,552,536,
189,714,655,581,169,991,783,809,207,843,982,125,127,084,869,424,270,724,894,
555,537,079,376,548,500,530,493,337,166,985,907,171,314,175,658,812,955,711,
303,570,898,701,714,476,302,688,211,664,465,986,507,714,525,301,584,751,623,
119,599,533,862,458,655,577,777,557,286,127,275,147,634,841,768,765,042,531,
991,608,141,698,052,773,976,561,604,122,477,207,414,933,182,044,350,039,772,
497,401,234,807,020,451,363,607,745,036,112,541,432,747,942,900,526,222,485,
361,018,467,922,475,291,116,640,973,338,241,292,538,638,747,066,376,681,187,
052,356,261,137,360,857,294,445,826,215,528,271,754,425,563,072,808,705,938,
416,991,323,350,621,039,523,157,487,857,668,191,687,050,626,907,752,602,679,
268,499,541,413,744,842,487,558,221,603,099,188,932,933,981,918,155,852,126,
438,123,845,274,822,755,693,083,409,029,985,964,751,445,829,443,751,092,333,
335,813,475,044,797,641,719,362,876,204,079,484,424,317,858,571,398,869,072,
797,722,176,515,251,042,592,050,478,937,683,599,136,553,898,057,064,068,701,
391,602,913,331,948,199,533,672,672,099,137,333,867,092,507,758,427,004,674,
233,339,026,067,542,808,654,114,354,568,662,842,925,977,329,332,518,911,639,
180,428,854,398,109,551,841,471,425,450,721,033,518,831,273,229,882,016,102,
062,767,421,886,570,899,374,953,420,247,195,658,283,050,346,722,743,210,195,
596,549,115,692,759,721,389,186,799,758,961,290,667,257,859,349,507,632,133,
355,185,984,284,738,461,943,878,738,057,817,668,302,362,426,291,722,364,278,
231,882,937,837,849,391,034,611,391,829,366,001,711,761,946,126,629,871,514,
589,033,329,195,711,073,017,401,541,810,269,156,406,414,399,145,573,252,697,
619,558,637,853,740,203,047,650,734,182,334,318,043,646,022,164,710,906,890,
182,718,818,085,693,020,585,501,288,483,503,008,081,808,497,701,694,500,369,
429,439,417,377,674,703,414,276,459,597,409,310,890,850,638,633,083,217,301,
416,171,654,037,548,044,693,903,066,050,446,377,779,550,680,438,212,084,749,
491,793,360,107,832,862,226,724,718,703,008,280,279,824,923,700,517,511,166,
190,794,081,880,484,412,394,083,849,102,902,401,697,071,526,916,643,238,844,
069,218,138,420,602,673,398,342,062,307,154,526,125,441,577,197,365,171,202,
925,706,890,918,725,608,449,749,571,009,215,823,246,492,427,632,986,087,891,
370,743,370,348,594,345,369,548,960,154,066,361,343,177,379,898,810,495,110,
839,967,983,715,194,539,735,470,478,391,362,055,690,074,009,724,588,306,893,
314,729,994,739,148,656,292,886,760,165,675,961,239,483,355,489,280,418,854,
712,263,793,090,116,668,701,863,694,720,834,139,428,865,660,603,213,582,781,
765,772,048,244,696,635,139,398,950,508,919,591,554,260,989,822,009,021,911,
375,040,367,391,414,198,416,684,435,572,957,548,839,155,004,789,417,435,555,
490,423,240,510,372,078,441,651,641,525,569,559,993,835,559,299,382,890,679,
817,366,732,803,876,722,081,230,886,252,195,265,786,776,861,286,631,394,757,
588,546,471,629,961,989,884,375,690,209,420,251,056,542,235,315,574,569,078,
900,010,655,758,086,203,972,887,982,286,496,988,298,468,915,603,536,076,219,
925,540,838,655,136,756,583,738,977,097,147,045,278,509,968,264,783,463,662,
010,534,064,960,995,569,302,874,113,888,502,328,809,678,129,971,318,545,884,
304,436,572,380,590,698,824,953,736,908,765,866,364,593,066,392,958,536,093,
215,871,095,950,314,481,947,844,840,598,284,423,559,468,135,251,026,970,472,
108,923,004,550,021,899,577,806,533,705,005,593,328,494,504,865,370,363,893,
352,521,637,295,164,717,445,226,123,711,148,693,462,467,970,701,601,922,665,
544,427,372,491,450,697,108,062,128,704,389,100,896,604,802,088,586,463,721,
044,686,567,658,282,447,402,661,970,482,804,729,319,401,774,420,029,915,779,
791,876,449,704,721,233,683,547,694,071,172,175,914,769,069,940,907,569,243,
823,333,202,949,149,536,058,854,336,755,817,820,037,279,414,767,123,833,748,
866,174,764,319,169,450,286,108,612,528,979,816,509,636,901,846,216,426,615,
141,985,871,255,134,514,198,706,961,790,101,347,495,944,068,395,502,006,840,
301,451,947,186,987,637,353,445,226,637,620,830,816,249,956,299,636,211,306,
534,585,574,777,579,370,850,366,436,513,909,373,651,389,067,136,907,663,173,
961,530,422,825,926,250,375,535,287,446,607,062,047,863,715,493,585,537,226,
619,128,358,118,752,223,753,122,436,796,278,573,288,102,432,623,138,514,775,
257,494,601,157,560,105,169,616,947,920,376,585,713,758,433,877,115,769,143,
840,452,925,437,130,280,956,396,706,846,621,871,809,019,910,823,309,111,827,
650,626,816,875,864,497,367,858,667,389,520,931,028,810,588,749,993,661,988,
247,119,838,041,480,696,180,026,212,699,403,101,223,661,496,882,707,495,365,
255,753,839,189,848,144,074,318,272,514,557,163,559,380,067,417,631,402,269,
656,185,651,988,633,041,784,919,158,587,825,056,285,669,959,238,109,691,292,
573,589,600,051,293,414,694,162,047,672,118,330,383,718,580,025,751,564,147,
631,803,140,724,187,496,058,997,970,250,909,345,869,952,101,472,577,261,807,
521,246,118,748,541,065,311,738,068,930,240,295,237,721,459,401,729,262,829,
196,104,961,118,600,474,856,559,733,553,662,796,708,876,870,857,061,727,556,
419,624,569,363,943,587,221,164,689,013,799,834,937,186,867,655,128,943,932,
187,463,756,624,064,913,864,264,413,733,674,094,102,176,255,533,301,188,447,
598,923,440,713,608,988,116,209,055,242,717,679,953,297,286,972,379,204,102,
196,843,582,677,239,515,131,427,102,459,237,226,488,906,887,386,662,818,859,
176,619,830,669,611,222,176,864,856,011,995,712,877,366,460,583,722,201,892,
688,686,670,179,849,487,510,730,571,903,028,082,234,106,093,598,922,588,694,
742,522,233,962,080,024,623,691,039,987,333,715,605,256,946,517,251,504,068,
909,727,118,533,651,987,825,065,897,718,986,313,312,246,849,184,864,886,526,
434,885,924,220,272,652,301,025,782,824,191,381,351,445,964,191,660,723,415,
367,917,538,701,654,741,173,296,309,538,631,664,886,996,501,256,564,584,102,
778,960,431,276,110,035,887,254,324,329,858,534,794,076,773,880,412,019,905,
886,440,810,022,913,248,454,769,940,443,666,576,786,986,225,407,942,416,050,
490,197,161,538,941,114,317,390,122,708,048,678,900,642,592,284,187,144,449,
891,935,822,988,507,848,122,708,708,207,157,671,738,660,785,662,794,456,841,
669,296,918,571,833,904,460,648,934,768,683,018,693,875,957,493,637,281,339,
972,836,459,047,234,018,675,302,074,618,772,156,513,334,843,069,572,379,721,
175,826,436,583,046,595,376,089,706,191,924,151,870,628,712,447,043,276,101,
606,268,273,103,894,079,081,151,423,802,887,352,108,412,924,756,313,122,063,
705,389,401,595,563,046,534,650,660,695,882,693,920,407,913,668,052,098,089,
600,530,512,627,116,969,947,947,193,356,388,121,559,540,160,556,822,348,320,
130,145,828,532,559,319,670,384,247,131,332,308,267,728,743,034,375,195,001,
287,389,703,988,364,432,129,035,812,993,897,772,478,268,174,817,423,206,522,
268,572,152,019,465,627,681,520,905,270,871,748,243,249,058,892,386,512,257,
555,192,768,906,483,826,950,171,200,069,588,460,108,777,803,982,687,485,388,
371,348,160,896,560,899,021,577,821,513,149,971,301,455,777,287,258,901,254,
278,038,175,290,643,034,606,767,582,377,049,512,071,695,357,049,847,346,704,
285,196,846,756,567,558,758,073,833,465,067,813,345,817,029,626,954,535,301,
574,120,047,458,975,941,684,741,956,983,619,012,728,879,009,988,546,413,882,
744,109,121,010,358,309,427,719,792,924,976,261,902,850,577,989,144,509,478,
817,233,167,581,625,952,019,109,455,563,291,342,512,880,473,116,543,468,440,
261,271,201,330,256,459,998,277,098,932,603,663,090,567,030,123,284,802,536,
198,071,687,948,007,310,437,999,362,286,048,951,760,500,670,109,257,856,457,
153,735,239,443,338,890,619,320,681,990,655,543,839,118,932,441,888,943,917,
931,244,723,241,533,667,049,420,789,195,530,703,739,737,058,250,703,870,019,
559,013,122,252,752,880,844,242,113,441,776,837,662,834,315,997,761,434,402,
904,684,725,425,593,325,185,718,784,660,651,038,484,114,601,096,587,156,561,
683,479,852,785,526,247,233,986,966,235,260,473,505,604,251,543,183,932,418,
716,373,894,019,727,551,600,133,163,501,533,686,726,916,658,618,314,180,274,
866,089,913,052,547,353,951,726,000,362,101,476,091,281,323,989,849,249,550,
379,489,824,324,586,599,275,719,974,020,984,375,393,003,346,907,801,397,566,
757,071,102,853,878,485,775,781,334,369,480,975,759,683,447,116,478,831,041,
709,246,107,362,525,027,219,220,567,597,182,317,390,538,173,666,076,556,887,
443,110,129,866,474,672,317,806,281,102,796,665,153,776,962,102,897,960,937,
334,006,205,298,519,286,972,328,756,163,666,793,377,150,241,825,616,273,377,
874,632,882,309,076,536,744,578,166,537,341,105,616,977,594,282,898,966,990,
594,144,507,130,196,703,660,861,473,353,098,125,411,629,673,427,090,027,889,
701,483,926,688,614,537,886,545,997,265,088,840,462,599,128,602,199,221,961,
664,269,577,910,562,630,012,543,949,013,851,827,547,284,073,421,165,060,630,
018,241,890,392,373,700,080,951,437,677,200,138,004,540,575,244,267,105,793,
319,583,046,699,385,324,643,141,518,001,447,712,189,305,112,545,485,337,767,
763,232,799,416,317,767,845,830,352,266,695,667,652,226,137,948,891,780,540,
107,339,998,680,957,723,412,826,139,125,643,168,693,526,223,841,312,825,614,
340,305,915,720,235,194,755,338,644,109,158,182,699,777,938,589,916,285,070,
823,011,705,396,794,043,323,683,663,512,975,296,215,276,028,909,681,060,930,
292,947,167,230,529,786,986,581,326,843,326,457,664,550,103,027,548,993,608,
084,875,677,968,815,940,702,927,323,333,224,298,108,724,937,135,453,504,182,
668,223,719,754,552,847,701,069,615,020,759,732,356,757,542,982,497,535,397,
016,910,895,053,710,512,638,487,799,146,256,454,489,408,566,254,705,971,665,
018,938,480,385,318,020,625,155,738,264,674,531,003,564,124,298,815,941,633,
644,083,820,391,397,870,301,554,698,200,343,826,007,765,259,450,075,657,741,
193,731,735,614,276,369,502,121,019,331,508,190,403,883,598,732,357,698,183,
351,262,842,557,260,416,547,120,407,202,355,433,922,754,777,081,506,934,099,
670,799,586,596,707,582,296,185,562,290,594,274,983,479,879,269,586,327,331,
427,685,633,996,040,331,641,639,787,554,818,393,635,488,156,112,504,779,461,
668,285,765,242,200,320,514,378,945,788,829,564,002,048,075,455,548,261,495,
882,283,429,994,771,929,411,384,893,615,790,780,721,602,317,684,456,742,920,
391,231,404,148,399,600,832,300,548,774,641,003,872,110,252,219,825,283,386,
795,855,976,814,401,242,139,998,867,362,191,054,834,741,879,935,805,762,159,
275,266,586,233,759,812,684,665,363,669,904,864,187,015,804,581,667,721,010,
629,094,464,553,056,237,593,712,932,450,861,015,535,553,675,695,289,963,527,
488,090,130,472,698,597,684,555,402,762,301,720,977,170,126,309,342,166,346,
283,815,203,417,023,662,694,235,747,287,446,353,656,019,923,705,000,474,787,
283,829,194,711,183,131,414,114,796,102,686,699,137,651,876,463,657,075,982,
636,907,510,412,111,876,164,200,887,206,507,034,406,812,253,982,367,047,568,
312,743,574,828,797,029,093,162,459,539,855,623,727,957,482,540,286,599,391,
842,880,241,514,567,480,511,574,518,995,704,018,660,039,694,088,622,619,514,
757,524,501,127,232,583,518,344,653,551,660,029,830,655,462,918,644,457,345,
113,064,653,822,023,096,624,765,498,323,673,214,539,368,718,863,351,423,367,
169,867,708,300,188,397,149,273,122,539,511,532,150,523,139,541,472,217,051,
757,709,914,662,056,972,049,267,128,558,814,066,908,586,111,443,303,869,966,
254,422,976,769,783,285,463,359,453,163,004,001,659,639,595,342,258,549,636,
486,074,089,715,108,219,179,612,346,069,834,478,136,392,846,962,590,169,242,
328,371,420,401,078,522,429,995,313,413,715,015,436,129,900,098,625,739,557,
800,796,483,062,279,887,997,526,984,619,105,529,993,770,171,982,127,268,595,
632,437,326,837,758,747,051,927,257,845,948,483,756,724,555,621,959,779,646,
352,617,621,604,495,612,391,152,547,682,320,268,492,412,756,589,877,214,062,
128,207,747,246,015,951,118,235,422,041,301,058,048,088,474,598,458,554,132,
200,101,006,804,683,476,888,252,324,436,149,221,456,499,995,664,574,895,150,
701,229,469,715,204,252,714,805,935,390,202,009,480,846,598,695,083,971,357,
220,693,427,092,383,605,867,169,565,344,118,985,829,948,270,823,634,155,107,
899,333,313,996,713,353,431,214,080,776,265,006,917,174,760,797,626,455,367,
555,360,359,873,691,936,194,483,355,560,097,726,784,820,665,060,225,646,668,
110,616,516,181,320,037,743,832,759,575,443,775,841,870,192,576,417,332,521,
841,109,694,471,656,976,643,027,054,647,365,262,652,125,823,578,499,710,236,
367,732,938,218,618,399,871,354,567,502,334,418,203,817,660,609,262,419,447,
026,699,422,636,575,306,658,846,101,229,237,014,658,321,474,655,459,619,620,
707,993,813,827,425,142,524,830,807,140,358,458,862,828,722,312,433,697,973,
093,132,864,000,920,210,872,220,004,987,084,080,333,988,455,932,302,507,437,
211,242,711,780,597,014,030,229,676,296,565,648,074,865,960,329,339,293,405,
264,855,340,164,914,091,007,174,433,094,868,313,176,186,605,823,468,944,998,
939,197,397,664,997,278,093,083,862,026,202,129,730,599,333,201,350,107,765,
014,956,116,873,333,096,266,733,187,020,837,650,337,163,633,166,935,470,544,
922,448,052,680,148,532,948,380,215,104,658,700,009,696,827,149,116,942,659,
743,331,595,798,410,600,417,357,793,386,159,818,456,159,120,631,168,994,599,
288,225,087,938,328,622,577,766,849,081,062,371,402,987,707,880,134,713,654,
430,412,735,694,470,613,844,491,432,274,044,600,131,397,767,821,951,121,776,
776,542,149,249,367,600,435,222,092,116,078,234,921,915,033,802,084,993,815,
970,753,668,309,485,156,772,193,853,637,722,761,524,794,223,050,509,615,638,
422,526,216,490,144,379,591,692,622,297,885,011,426,563,750,496,859,001,031,
065,749,830,305,364,779,301,457,020,458,410,665,302,901,344,254,783,214,359,
905,633,267,119,791,081,472,410,871,210,464,261,338,427,167,732,266,278,273,
701,782,105,783,759,887,914,833,290,265,446,474,677,954,606,790,546,672,122,
587,104,664,831,286,017,819,401,806,623,784,489,541,905,485,557,035,967,098,
544,952,775,056,041,001,881,851,820,320,920,383,118,987,277,842,232,416,431,
286,585,500,612,293,461,670,494,369,501,136,755,103,275,309,854,216,849,735,
077,689,266,167,736,325,321,330,476,950,359,403,653,282,438,550,209,123,248,
898,324,319,770,587,425,408,311,440,777,281,612,137,391,728,971,103,268,949,
795,210,242,277,253,572,785,058,886,992,461,379,527,271,123,204,247,753,837,
384,015,473,473,434,398,185,997,513,350,717,305,706,201,776,821,524,876,419,
781,479,083,111,752,223,284,106,743,964,868,336,539,978,002,484,626,741,632,
145,967,705,763,218,061,176,090,602,842,072,234,954,529,389,981,444,238,135,
013,370,402,143,157,073,428,905,276,733,183,664,656,805,490,834,890,999,826,
879,492,695,105,263,847,830,347,731,189,558,741,835,737,597,673,725,270,174,
041,873,025,190,437,025,324,516,951,956,205,960,467,442,285,272,392,263,260,
910,114,182,914,529,837,571,813,824,060,693,826,544,981,958,720,040,234,811,
979,385,097,080,628,520,504,937,368,408,266,377,347,410,159,322,060,153,540,
079,358,118,384,882,802,439,124,734,921,789,328,224,903,802,592,636,987,660,
087,756,180,591,697,456,344,269,003,244,647,164,302,211,669,425,349,451,062,
084,357,825,822,762,472,888,952,023,017,723,462,628,027,581,964,910,132,645,
155,647,078,068,003,339,977,541,499,371,485,908,397,722,950,677,535,417,861,
911,299,988,202,160,668,319,395,555,570,321,866,626,397,964,087,810,332,866,
394,683,314,235,365,735,851,578,970,829,100,179,964,078,567,763,020,416,051,
041,457,449,604,362,355,353,378,999,935,814,385,923,513,509,131,862,288,997,
166,441,499,767,714,346,592,180,974,290,103,727,259,511,896,861,308,060,736,
954,476,308,916,124,396,700,042,918,032,575,667,656,796,954,324,068,043,294,
654,102,142,044,878,952,190,345,440,279,761,063,294,826,657,930,521,708,273,
139,846,938,221,968,324,771,633,597,366,641,701,267,913,525,933,749,715,131,
039,327,295,690,746,016,684,900,004,891,292,490,157,048,155,641,085,936,572,
719,939,581,741,444,610,358,986,294,284,542,221,827,996,457,826,636,228,053,
699,327,021,175,505,472,297,244,445,464,178,083,461,796,468,694,687,945,029,
275,039,674,964,159,925,143,822,266,786,471,453,396,732,350,220,868,190,603,
266,217,798,302,471,392,574,127,279,176,548,205,225,330,791,884,552,208,596,
139,433,394,066,127,334,098,701,511,827,713,013,465,005,900,557,106,797,725,
722,633,424,799,417,989,763,158,827,388,971,784,682,213,650,285,593,116,704,
373,755,080,942,872,407,199,299,714,003,466,528,985,148,500,121,351,238,154,
228,734,866,565,754,917,749,996,520,312,813,671,888,481,261,019,050,538,547,
506,754,766,472,895,520,498,993,391,493,016,670,098,379,871,608,792,083,023,
217,037,700,429,069,021,338,709,995,984,805,929,497,405,181,117,013,589,033,
804,180,068,684,624,050,178,916,673,055,212,777,023,311,931,588,926,304,250,
639,472,836,851,558,344,581,659,554,898,328,265,706,586,348,486,664,108,918,
272,985,224,296,245,288,957,814,119,335,543,670,033,115,119,386,360,748,043,
775,504,912,028,759,661,681,242,649,365,115,193,401,332,336,467,220,112,552,
827,738,474,829,715,965,788,433,793,083,921,873,445,834,345,133,910,492,087,
045,933,136,782,288,913,619,795,714,520,893,481,197,727,396,006,039,933,924,
564,703,993,361,129,306,346,002,348,369,943,606,075,091,170,223,044,527,413,
851,999,207,381,532,806,549,450,066,307,540,384,695,645,669,663,921,812,523,
044,235,052,425,899,172,927,509,253,307,102,769,485,421,810,781,038,953,394,
666,702,492,108,057,545,427,029,023,616,766,732,009,434,142,962,221,264,395,
149,808,644,154,694,859,432,960,365,311,619,905,087,884,761,058,340,404,617,
246,569,890,386,146,539,726,040,916,474,455,109,883,533,132,536,069,035,833,
144,760,580,464,539,401,386,989,108,768,394,954,709,528,755,409,756,852,019,
913,721,237,739,226,000,654,454,552,254,301,596,123,778,010,241,858,441,803,
347,836,252,417,358,301,924,743,331,548,111,758,100,963,306,317,778,309,617,
654,812,660,696,279,143,304,112,024,655,218,357,364,689,019,258,580,187,855,
697,200,066,381,155,394,044,007,425,123,028,218,726,651,160,785,724,050,934,
550,395,045,543,655,201,187,768,525,022,123,262,666,806,907,126,998,827,891,
490,235,809,756,631,230,765,230,180,688,191,852,050,626,970,448,306,072,996,
139,786,111,800,542,879,097,491,520,173,110,468,849,677,423,334,171,471,339,
847,325,795,939,588,565,563,770,364,120,036,827,457,226,189,336,768,642,222,
750,925,742,328,732,394,729,811,005,273,748,313,208,879,729,633,314,707,712,
569,741,200,878,081,052,610,817,713,069,787,177,876,954,803,078,602,420,942,
584,153,870,409,137,192,758,489,373,333,921,616,562,449,929,501,853,855,496,
570,259,777,004,011,548,324,494,105,537,922,233,961,255,670,637,826,232,950,
253,635,801,854,384,850,995,999,966,668,682,539,081,957,002,914,008,912,947,
469,720,037,001,777,636,970,349,270,590,629,367,899,992,969,536,316,139,818,
052,658,354,785,928,943,574,801,832,645,451,554,999,308,435,230,471,627,018,
717,897,681,263,199,734,813,498,554,869,497,032,882,961,852,225,543,411,966,
530,966,589,493,386,652,689,491,292,379,980,103,117,708,351,070,205,656,732,
646,191,361,888,066,245,582,872,904,156,117,604,184,833,026,472,166,429,447,
745,246,916,558,289,847,609,039,776,137,002,587,814,992,126,857,674,479,286,
763,700,582,142,214,213,642,637,548,027,160,294,047,831,916,217,439,120,660,
293,370,371,077,956,529,787,408,934,243,735,081,095,262,461,088,620,649,796,
214,624,480,508,966,213,199,200,785,189,084,635,349,065,560,901,725,339,481,
957,442,936,342,965,715,511,653,975,649,959,862,020,383,862,916,239,795,309,
256,931,727,546,246,269,201,562,586,659,821,567,452,562,710,485,735,572,138,
797,317,958,735,560,033,864,064,490,906,177,921,875,101,436,856,295,979,331,
639,128,366,348,309,202,117,075,063,518,026,798,724,222,203,211,614,261,381,
855,231,624,112,940,670,645,423,587,169,335,120,562,654,846,077,704,163,952,
369,680,203,569,645,948,893,682,314,673,273,414,527,032,645,208,883,945,972,
223,461,035,115,495,642,071,746,508,295,827,813,221,359,664,224,386,236,830,
676,971,033,380,786,057,347,762,251,884,008,026,506,757,547,215,348,818,988,
040,181,135,171,985,041,321,419,977,154,422,516,140,129,123,120,174,820,460,
135,016,486,973,880,528,642,742,799,372,268,975,895,526,021,114,581,247,903,
811,612,692,521,916,116,323,405,097,817,006,014,536,551,455,200,207,945,371,
839,149,195,495,603,427,359,565,710,483,195,378,007,622,129,352,816,465,495,
041,750,759,323,923,951,350,818,108,055,970,776,848,734,517,543,833,446,648,
012,216,808,678,228,177,139,304,605,157,420,239,277,131,213,563,740,326,653,
846,436,745,485,351,079,079,894,542,695,815,464,422,317,475,849,695,623,955,
285,435,526,742,914,328,218,548,897,249,742,392,482,176,525,123,155,674,622,
988,841,945,692,240,828,232,027,853,332,243,999,432,243,372,719,980,228,612,
280,123,103,432,523,544,788,015,803,447,268,022,443,809,401,769,347,854,190,
264,754,994,853,328,194,283,414,942,083,574,666,486,256,483,423,761,894,216,
563,106,250,598,286,796,841,957,461,226,205,999,635,788,437,228,223,013,126,
781,773,721,404,060,213,807,199,008,892,113,479,495,125,978,720,905,423,011,
487,006,122,670,615,104,877,193,753,571,170,451,224,838,294,218,671,344,763,
325,254,886,960,201,020,816,387,146,630,106,002,643,306,540,908,361,299,548,
183,688,555,892,749,992,536,801,001,261,468,608,271,499,403,147,745,705,339,
786,894,496,621,362,178,214,303,255,041,098,017,726,124,715,256,313,432,688,
369,304,552,302,188,793,976,545,571,387,581,284,771,067,405,036,197,647,112,
534,586,368,110,332,514,483,245,713,782,406,749,887,773,777,892,764,930,950,
797,216,455,647,457,539,453,069,086,524,289,177,170,233,708,393,774,286,150,
493,828,788,794,721,028,221,769,847,565,114,627,966,895,190,905,392,846,344,
214,356,260,081,253,188,756,845,537,618,449,831,780,177,854,108,938,549,356,
524,383,324,746,126,010,122,215,619,621,355,802,064,853,121,942,282,900,928,
617,460,207,646,748,775,210,743,349,353,548,738,545,131,841,595,456,759,491,
968,115,121,922,558,089,879,518,689,905,980,092,087,225,439,582,315,570,532,
590,121,956,026,839,042,684,375,723,515,439,467,086,833,507,792,706,221,236,
788,490,389,315,571,889,380,563,143,148,924,613,287,048,014,509,473,804,892,
240,300,580,806,855,441,756,427,469,974,758,615,230,264,076,431,550,857,397,
562,739,546,167,494,611,866,890,551,680,146,664,734,013,563,536,473,904,578,
566,244,428,133,230,501,357,360,764,696,744,988,233,216,567,460,739,418,113,
402,167,400,310,651,191,218,868,963,045,298,458,990,157,521,269,497,877,444,
395,171,268,790,138,730,879,320,339,063,547,423,075,122,088,795,915,867,061,
061,443,907,115,972,244,597,968,910,880,811,227,982,412,851,379,364,585,588,
702,276,629,987,409,195,405,840,194,618,119,689,591,046,196,709,442,190,544,
812,035,419,668,741,454,228,513,392,738,812,076,656,561,318,615,106,129,353,
373,064,271,236,453,809,197,232,730,441,641,152,097,732,077,897,178,985,600,
926,561,855,188,219,013,113,940,929,087,216,191,672,951,561,617,107,351,978,
647,150,659,787,801,883,609,186,011,469,210,192,372,078,957,660,780,171,998,
313,425,235,940,534,387,095,724,133,018,204,449,317,390,819,071,181,142,399,
760,366,101,984,264,935,816,854,708,188,222,530,792,961,229,713,025,100,645,
440,485,771,745,811,142,927,938,320,563,989,788,680,572,724,546,443,974,789,
008,753,247,170,196,908,816,056,665,588,250,259,448,162,630,592,821,771,267,
026,602,430,002,920,936,315,578,157,926,660,134,252,662,802,451,568,040,994,
736,262,845,754,160,463,307,752,413,586,546,051,646,954,549,264,275,549,717,
630,516,144,022,345,059,220,198,524,109,947,917,501,571,657,304,549,410,595,
304,505,764,827,167,955,903,929,736,587,896,526,034,215,061,505,057,108,156,
019,556,493,377,517,653,668,451,987,074,476,173,003,366,877,254,370,144,852,
598,589,893,304,084,711,561,742,457,997,992,279,118,701,962,685,578,607,297,
631,998,161,961,940,206,564,486,922,929,573,342,023,198,003,634,573,473,255,
289,272,260,104,499,809,640,950,082,357,251,343,555,172,007,480,739,122,073,
557,204,410,341,208,264,851,097,984,742,234,139,462,683,750,706,119,912,731,
194,677,452,880,103,174,634,872,824,379,370,540,878,758,143,238,214,877,792,
482,341,896,670,247,074,785,303,535,852,304,945,665,990,903,354,677,384,758,
870,965,546,994,104,289,547,520,699,975,790,097,327,975,290,104,343,519,109,
467,581,832,585,767,988,882,987,693,446,592,260,469,406,059,735,104,136,403,
785,451,138,148,225,138,854,301,488,802,945,693,045,273,839,130,095,275,413,
919,370,358,551,379,200,956,072,702,788,055,968,861,504,827,073,971,105,562,
683,248,942,035,782,344,961,965,784,932,259,128,834,729,935,601,852,028,099,
831,374,614,313,615,676,598,283,452,551,387,886,300,224,902,271,759,979,358,
449,468,122,193,993,154,093,382,434,092,499,233,223,309,556,294,003,391,856,
734,994,757,242,487,145,170,729,528,926,489,610,685,668,581,071,977,448,640,
671,117,300,945,812,697,135,370,457,081,136,575,771,232,645,333,032,216,440,
398,745,133,471,191,119,695,003,860,567,597,986,067,394,665,038,661,404,866,
835,664,899,194,561,950,046,266,686,031,737,629,187,434,352,971,355,758,570,
187,737,338,734,358,274,946,944,802,985,521,164,607,884,222,588,473,723,810,
331,231,424,992,091,189,300,414,714,348,565,492,662,634,988,509,269,302,139,
498,164,415,449,035,823,721,322,146,011,162,692,383,606,745,332,406,036,649,
682,174,086,805,398,143,589,741,950,254,926,428,729,518,246,458,408,690,517,
023,924,723,779,224,868,194,354,807,986,172,093,881,351,066,669,952,003,047,
781,506,349,298,361,297,422,342,110,471,684,286,279,227,356,389,931,134,399,
249,161,462,124,930,665,386,388,220,761,911,291,166,353,548,347,605,460,173,
671,772,642,436,787,000,088,966,374,998,254,171,457,297,103,750,583,484,682,
962,258,795,184,686,575,341,653,983,004,493,262,575,180,835,360,725,345,763,
818,976,732,129,695,694,849,673,791,158,488,581,843,533,963,212,223,853,594,
353,962,858,444,318,414,597,644,748,095,268,101,201,909,632,336,950,875,611,
059,413,489,452,485,105,137,459,648,520,812,327,483,372,482,965,821,676,206,
706,884,053,901,563,329,734,089,848,594,109,991,442,449,189,309,069,612,882,
669,943,981,101,421,609,955,467,802,320,458,770,168,470,718,220,972,449,621,
948,326,994,177,832,160,259,125,644,072,317,825,273,656,138,721,414,825,960,
039,980,118,906,327,734,159,597,560,568,809,543,129,282,192,012,191,296,866,
098,718,689,142,997,978,459,565,297,604,625,958,506,258,758,800,880,857,998,
531,725,848,918,579,318,849,124,840,280,954,211,095,807,906,110,241,328,863,
055,101,166,955,808,423,884,657,025,142,312,923,219,795,504,536,466,199,663,
608,738,044,836,739,237,770,755,994,261,293,507,520,189,224,301,227,602,324,
184,049,522,345,809,839,517,747,059,530,100,853,330,923,386,930,483,998,335,
151,088,560,591,308,589,275,347,318,028,515,941,976,260,470,390,818,766,864,
921,918,362,279,907,074,119,111,343,049,348,914,296,013,952,445,658,750,044,
939,120,332,740,353,648,603,224,122,451,951,526,810,720,989,551,278,118,311,
763,163,186,197,332,170,256,186,413,613,795,798,942,589,660,016,227,603,151,
970,485,191,076,189,697,910,165,191,993,541,034,095,275,482,088,864,632,516,
631,819,881,936,214,722,577,982,278,174,047,945,940,059,765,650,474,600,636,
106,471,081,776,773,101,904,368,259,479,037,186,809,732,656,068,638,067,542,
386,205,547,982,320,549,054,866,645,537,396,591,318,781,015,578,796,776,917,
380,735,678,287,894,900,666,862,044,413,241,904,496,846,433,766,904,722,560,
690,898,934,687,148,026,897,694,701,526,749,116,173,635,857,873,270,902,840,
040,278,624,832,668,895,316,906,846,435,688,577,483,722,306,125,365,214,339,
209,610,654,183,022,176,550,219,194,017,390,470,504,702,548,854,125,453,744,
790,880,136,010,118,853,018,635,580,251,012,313,405,762,030,608,733,691,185,
452,435,708,695,995,358,000,656,440,264,305,103,912,961,524,592,673,337,861,
806,987,968,834,932,728,211,830,545,668,302,116,599,655,479,348,473,146,841,
913,421,733,400,737,287,891,077,330,407,050,690,215,833,155,995,986,023,067,
559,103,987,168,674,711,702,747,818,459,156,019,898,986,679,101,581,621,303,
783,917,427,940,578,218,660,307,111,275,535,589,537,705,331,062,057,290,972,
989,255,662,270,082,434,360,001,404,069,183,687,982,778,740,506,444,425,013,
414,123,756,398,046,455,546,129,485,852,934,293,615,857,482,952,507,887,358,
846,302,109,658,361,732,969,181,538,490,710,751,174,450,684,061,664,523,886,
172,204,556,859,662,245,524,363,239,323,234,572,206,704,159,311,507,040,317,
110,787,704,126,428,535,210,053,237,336,302,639,622,790,626,631,453,711,919,
911,341,921,233,839,795,859,893,031,292,311,721,641,271,051,056,040,857,154,
877,072,478,422,793,148,289,779,930,381,387,104,566,717,271,370,685,227,919,
174,366,259,880,438,708,993,627,594,175,162,483,154,712,868,755,220,880,739,
296,736,597,491,795,000,671,891,993,418,252,862,249,489,598,820,889,474,272,
187,003,355,266,000,804,198,794,695,287,610,599,480,557,310,948,212,723,434,
599,125,112,733,584,674,113,850,362,925,225,952,663,136,003,557,040,542,001,
759,922,886,881,126,468,657,846,379,902,613,525,416,748,391,173,016,722,620,
816,681,843,062,838,908,927,433,883,099,259,116,677,171,984,117,412,811,487,
178,234,598,102,521,125,644,570,056,092,810,831,089,065,616,161,494,000,182,
546,794,450,674,198,237,515,766,062,959,884,368,752,347,315,041,860,618,094,
792,348,103,171,345,663,308,983,166,340,185,043,134,753,743,969,244,594,668,
366,036,594,748,841,970,309,271,666,557,492,525,534,000,808,049,919,525,551,
346,703,001,789,968,602,152,969,053,591,769,518,856,339,066,852,785,719,170,
351,192,410,212,467,757,195,096,765,208,658,921,603,688,377,656,264,184,231,
722,280,667,178,602,712,725,323,320,797,963,429,628,848,436,990,041,712,876,
010,677,728,148,026,252,635,935,893,113,507,090,876,880,423,226,527,216,005,
103,159,466,658,169,057,056,098,813,510,536,396,207,961,039,773,537,161,383,
554,814,957,718,433,218,809,513,593,885,594,416,624,745,878,651,774,941,028,
930,490,189,357,791,152,837,274,700,166,024,279,484,022,163,165,964,962,019,
777,704,031,818,243,462,665,329,765,097,996,272,577,129,980,819,347,144,544,
137,415,445,717,443,873,308,080,232,215,026,372,350,349,668,056,884,575,969,
448,595,631,048,912,386,970,426,775,252,938,506,501,500,578,754,638,125,467,
681,600,487,117,395,002,819,274,895,395,673,351,751,716,842,193,703,929,678,
481,772,750,064,985,036,170,320,716,537,026,645,051,189,913,430,569,418,546,
319,416,110,477,388,532,362,117,614,568,003,663,313,150,863,631,858,039,414,
052,784,882,980,256,715,630,900,236,345,836,152,064,833,126,595,604,911,813,
441,298,140,446,874,362,003,503,730,259,474,393,630,057,795,651,571,606,200,
841,471,084,712,541,474,876,614,938,528,103,285,811,967,568,197,332,720,083,
316,902,939,523,452,757,466,843,120,937,379,715,244,540,679,182,050,253,860,
572,665,890,436,559,330,013,400,947,845,295,890,140,498,658,238,978,227,315,
702,970,208,413,020,210,390,361,132,795,278,709,127,097,453,821,548,599,146,
594,965,783,831,897,101,989,227,474,152,471,423,652,863,871,320,375,623,014,
917,165,623,573,488,390,017,246,131,587,248,125,101,438,754,621,536,753,915,
256,208,228,281,135,769,442,567,602,901,773,491,944,311,040,331,365,593,470,
201,785,136,569,724,783,160,589,110,073,532,918,517,194,969,080,080,799,002,
893,576,592,341,110,935,103,895,563,887,544,916,271,925,161,073,872,337,355,
971,037,781,696,687,026,126,385,316,050,334,375,462,356,475,586,326,546,027,
169,461,654,162,851,771,589,166,868,205,250,254,041,321,131,587,025,344,686,
365,400,766,569,525,187,864,794,332,486,755,704,041,465,558,531,241,731,187,
691,652,099,786,555,495,517,188,068,266,244,362,016,154,031,768,661,482,415,
980,866,987,145,728,578,874,965,450,861,687,110,485,146,771,272,007,869,596,
308,293,398,026,861,869,436,631,733,907,351,061,883,399,911,498,937,313,988,
462,256,600,810,150,436,556,205,544,906,537,594,801,310,118,846,710,252,473,
659,974,873,368,988,763,722,584,009,254,526,556,814,738,607,379,654,565,393,
442,251,661,020,533,178,899,001,289,937,443,227,158,419,273,970,930,555,216,
117,140,952,879,006,687,061,769,071,876,427,231,742,029,865,857,271,095,597,
757,510,156,348,948,017,234,788,533,047,524,491,095,302,910,903,394,452,134,
292,936,272,355,736,962,370,550,422,678,859,214,830,713,850,446,557,603,809,
194,777,901,964,499,094,007,600,579,833,257,657,470,631,572,098,243,592,246,
485,770,575,910,472,871,517,218,548,455,757,294,161,617,422,521,215,350,353,
431,166,946,799,583,730,341,322,141,713,925,711,483,250,033,681,664,837,568,
624,637,405,178,666,800,150,457,072,247,516,996,264,803,823,796,153,067,653,
581,106,876,585,977,289,250,158,760,676,154,043,407,640,225,771,538,232,309,
843,789,381,704,811,963,202,714,836,689,913,298,885,836,026,330,111,064,272,
438,176,671,715,563,827,218,888,545,350,214,333,658,542,165,560,857,856,433,
854,929,219,023,805,709,463,353,805,594,343,620,942,208,949,509,066,868,899,
383,156,472,486,556,461,919,526,281,472,928,118,536,425,406,371,481,545,160,
986,455,249,215,103,052,671,634,597,757,817,111,096,430,925,858,913,736,817,
822,543,338,680,565,329,894,160,964,340,375,966,815,661,899,618,893,258,740,
301,593,405,114,218,204,543,905,461,007,893,503,730,971,633,746,218,684,150,
288,427,972,171,604,168,679,430,992,693,333,931,372,247,582,614,693,883,383,
924,816,445,110,699,800,405,890,608,726,285,223,759,615,957,212,543,407,968,
403,144,801,486,395,065,864,456,349,113,902,859,532,377,881,659,553,033,871,
549,121,436,266,681,002,818,414,319,141,155,613,719,513,236,656,550,001,344,
286,457,765,737,372,587,526,286,929,751,965,504,839,618,725,463,052,543,596,
305,987,371,787,020,417,385,835,015,863,494,226,997,133,087,259,365,742,711,
424,718,758,743,115,102,081,517,157,057,996,042,700,256,738,918,770,862,130,
839,662,987,599,775,101,346,387,689,102,303,005,373,119,870,267,060,391,801,
927,687,779,022,848,742,302,583,781,339,612,429,622,854,618,039,723,221,904,
734,155,725,369,261,580,909,306,423,617,122,110,357,441,627,336,307,340,319,
576,414,188,942,876,236,762,261,650,421,708,259,327,340,901,703,571,634,265,
297,051,643,258,352,632,490,230,916,351,436,468,654,366,546,791,685,452,679,
673,317,268,616,328,324,509,751,621,568,160,578,248,722,927,895,696,636,700,
359,156,256,528,263,944,356,342,962,840,257,395,734,330,444,311,118,727,165,
617,010,974,986,163,480,111,525,064,234,932,334,235,758,443,661,117,780,188,
038,576,844,303,891,104,799,602,708,434,175,588,155,227,926,975,382,205,531,
935,202,406,455,268,609,580,596,340,328,471,827,886,167,706,434,656,180,667,
151,118,959,332,390,442,096,791,805,376,855,637,874,941,856,794,592,849,750,
966,203,914,244,726,189,194,028,894,233,055,030,387,752,180,028,306,112,869,
444,824,819,053,061,020,702,341,737,065,623,515,431,876,150,179,741,628,321,
153,082,273,243,447,417,475,781,020,110,772,384,143,082,147,757,827,109,005,
217,723,779,804,592,560,636,800,780,669,880,706,616,318,111,575,887,006,593,
216,112,982,218,120,548,717,845,264,861,488,342,857,721,055,372,512,844,365,
412,756,244,047,801,250,861,621,138,816,316,352,849,061,613,205,324,799,439,
007,671,726,135,535,579,588,808,578,256,824,482,682,226,506,425,128,874,850,
585,329,496,602,015,637,125,117,332,221,139,794,643,380,064,337,489,932,634,
636,429,139,819,897,130,684,035,648,067,908,577,561,594,772,666,497,083,867,
032,809,919,995,719,131,695,332,061,002,940,834,851,961,725,699,977,238,479,
055,476,089,074,791,489,100,353,811,313,768,078,721,452,069,315,906,591,647,
761,906,905,611,684,782,161,970,359,546,600,218,225,762,096,060,778,067,515,
870,306,002,067,545,162,418,180,220,562,722,483,626,008,704,248,585,140,220,
174,682,136,738,197,426,848,116,506,712,448,740,840,039,855,480,715,066,596,
077,200,628,905,528,056,359,338,111,238,396,012,001,874,611,046,194,075,393,
316,243,735,095,035,230,418,196,965,813,963,211,250,260,894,095,930,828,640,
419,481,667,358,877,821,393,452,273,795,830,259,855,028,110,691,979,996,755,
905,845,608,385,537,266,798,842,623,123,521,247,576,239,056,502,670,122,759,
189,065,137,694,701,773,065,534,598,383,394,794,005,106,265,529,449,690,938,
830,602,742,537,877,034,066,737,636,386,586,787,368,881,103,378,841,481,338,
521,718,417,281,002,775,752,524,612,997,986,269,038,899,191,643,984,282,792,
509,087,678,987,948,397,390,787,309,887,419,773,207,935,065,930,778,570,769,
863,598,099,354,685,596,517,301,792,487,902,521,544,937,285,820,674,675,734,
681,214,477,603,832,319,998,560,396,016,217,083,556,644,161,643,092,301,124,
422,730,360,452,496,191,228,590,097,929,544,013,590,838,891,796,130,687,498,
548,066,010,518,018,156,565,487,818,982,775,165,280,931,844,962,625,647,507,
566,766,538,930,326,562,316,614,135,945,010,980,597,119,925,250,920,781,633,
902,939,336,361,055,773,133,188,526,226,118,509,095,987,409,873,482,041,409,
454,149,528,620,153,916,827,050,518,123,753,157,255,328,219,876,306,349,897,
589,081,535,444,489,984,208,435,926,912,443,717,756,909,176,128,831,938,165,
037,683,155,485,035,112,385,767,071,514,417,553,549,168,226,044,251,755,806,
709,998,767,468,238,479,651,230,272,620,235,045,287,393,631,453,148,107,757,
340,259,855,738,574,558,852,070,271,801,726,059,721,643,372,249,136,016,362,
493,886,253,722,077,936,987,740,571,806,645,015,470,016,172,702,534,769,441,
113,427,609,941,282,949,481,146,736,009,579,438,214,788,666,642,683,744,371,
332,307,356,470,366,161,035,873,533,059,138,218,744,799,024,901,392,900,148,
990,372,692,550,843,486,086,388,205,404,874,042,692,522,735,032,760,846,718,
591,008,273,208,446,742,223,161,312,343,931,027,054,362,023,421,161,670,628,
410,891,643,938,819,778,505,719,410,373,373,765,228,982,230,450,572,335,965,
894,101,076,925,646,330,955,183,818,548,133,507,123,150,133,568,312,258,093,
727,501,871,104,584,806,369,889,866,083,644,376,842,851,664,537,978,775,880,
471,689,126,845,717,460,029,006,859,557,941,289,261,559,011,859,719,973,832,
631,930,338,429,060,092,551,796,832,499,053,847,929,310,983,240,592,801,545,
995,614,956,457,793,270,436,925,849,062,178,476,882,397,472,926,071,760,169,
439,314,452,804,533,488,855,764,580,536,929,266,810,216,650,635,698,033,204,
326,687,888,366,445,643,009,743,641,156,894,900,621,617,975,012,426,078,356,
689,156,582,301,080,377,955,293,306,377,204,870,988,305,896,049,811,905,588,
035,116,300,492,353,856,265,487,969,573,670,465,264,405,224,456,368,464,505,
210,659,641,091,815,735,041,509,762,816,776,130,096,986,841,442,923,351,881,
656,929,664,535,510,150,620,739,653,414,552,333,226,164,292,521,108,031,416,
469,630,914,233,539,552,220,861,297,591,073,078,191,624,419,280,309,928,285,
835,378,614,558,067,126,905,659,707,917,358,963,637,480,709,315,096,928,133,
805,085,391,682,338,311,095,947,647,028,319,755,460,475,314,688,692,090,480,
193,875,309,542,781,524,148,139,336,393,998,630,457,575,634,659,633,041,122,
383,170,794,453,791,145,685,212,792,712,975,908,458,495,688,431,051,827,832,
052,798,740,390,080,362,580,637,969,640,668,144,928,429,057,534,980,715,486,
414,583,118,363,185,991,466,251,733,533,913,628,352,140,938,633,556,820,540,
353,832,337,069,599,369,911,692,295,351,101,045,706,049,373,903,299,106,328,
970,070,501,201,781,401,414,010,722,196,935,661,641,120,088,461,641,774,554,
055,472,886,689,387,416,679,878,847,871,055,694,846,218,444,740,886,598,375,
148,576,050,169,247,172,758,945,419,967,858,638,392,015,397,177,825,203,169,
548,033,867,901,837,936,700,212,317,412,703,358,814,982,067,352,144,740,727,
074,796,900,685,710,401,309,258,271,913,613,093,166,965,928,080,299,964,143,
532,990,241,261,783,129,373,307,312,118,711,123,204,361,010,818,322,039,180,
561,774,019,972,221,801,427,605,725,966,382,466,474,068,250,678,642,862,832,
516,497,226,519,281,665,822,689,248,564,169,946,287,660,650,755,518,020,176,
397,203,935,792,673,137,864,604,943,150,715,600,371,610,635,807,744,525,905,
883,652,427,987,958,130,544,615,913,395,116,360,642,307,880,377,039,136,001,
983,443,352,591,186,018,450,878,821,099,993,255,081,507,410,692,688,639,667,
223,943,255,335,926,418,553,087,173,124,089,043,923,302,267,996,394,103,953,
002,911,332,666,370,175,366,539,311,828,306,776,840,424,820,425,279,904,736,
441,566,361,259,216,355,019,018,245,621,743,805,264,103,983,665,345,918,785,
995,185,914,539,309,194,012,096,807,683,202,289,485,307,146,629,207,758,036,
205,631,601,710,068,970,147,113,898,927,210,314,885,737,323,951,452,029,453,
034,361,716,303,061,081,901,818,733,507,905,584,420,496,776,795,600,558,391,
801,386,191,080,404,335,412,034,643,276,494,666,928,816,961,779,163,819,571,
152,623,364,873,328,496,416,488,397,239,227,764,085,962,922,928,790,637,016,
187,060,593,978,990,483,052,744,736,813,445,677,422,923,178,472,310,417,666,
769,121,339,697,221,946,370,989,915,282,910,963,998,481,381,885,948,204,520,
604,716,095,549,355,492,528,337,325,111,010,034,433,866,500,302,889,229,391,
981,348,952,825,807,965,129,869,262,173,082,215,981,686,871,305,219,437,963,
994,616,484,971,106,876,675,243,530,246,008,748,710,676,024,730,028,716,710,
601,960,068,459,058,476,292,305,319,406,111,034,925,307,666,808,957,787,145,
566,500,504,072,825,988,221,377,789,807,579,247,819,887,045,574,678,958,948,
498,340,749,972,274,035,717,274,614,992,236,474,115,778,841,536,483,303,693,
513,812,812,023,264,302,705,184,033,484,832,504,515,762,525,499,014,236,107,
899,941,131,402,056,343,299,748,799,572,326,116,347,586,710,994,405,792,080,
487,083,382,337,717,475,753,598,167,197,420,873,159,009,067,717,282,479,779,
520,527,189,671,637,281,030,877,494,943,114,865,659,170,869,371,645,960,935,
146,384,468,795,281,137,540,223,863,851,816,155,772,909,281,939,662,424,532,
491,768,380,176,273,882,958,870,445,643,842,934,526,467,746,627,041,266,452,
239,764,549,571,464,918,161,885,995,213,340,974,236,085,560,757,825,135,202,
827,540,470,418,166,923,923,752,770,993,118,732,944,684,612,843,837,919,823,
579,073,999,254,561,479,605,760,051,517,693,051,154,986,653,318,957,792,033,
223,291,081,859,693,196,912,870,678,695,990,578,127,618,493,757,618,110,711,
122,767,508,178,528,647,944,544,458,854,578,810,843,939,809,563,499,518,335,
648,040,481,558,724,491,423,054,411,445,501,410,730,903,776,601,170,696,409,
466,113,956,531,096,035,584,257,847,111,726,894,813,427,668,686,626,919,140,
727,030,480,563,742,618,908,962,186,109,373,702,405,896,987,039,489,170,074,
892,593,519,148,546,260,426,721,908,526,017,455,055,068,681,870,915,325,655,
583,476,452,088,311,211,852,254,374,180,076,888,848,094,479,080,537,962,462,
824,247,192,514,721,355,704,367,223,626,916,630,157,478,608,182,264,271,081,
781,923,212,909,337,316,711,835,808,102,276,055,075,984,733,291,862,988,966,
325,445,174,328,878,833,528,795,005,248,938,624,367,136,653,314,429,833,875,
115,889,290,042,029,811,715,866,342,191,211,696,851,700,924,222,681,482,087,
796,452,827,076,201,103,807,456,582,778,365,499,911,044,813,556,429,659,887,
927,637,370,826,965,085,592,747,915,240,138,873,090,771,356,991,572,637,968,
930,895,275,571,220,171,795,002,183,145,969,475,172,099,770,808,859,549,072,
722,250,933,597,306,269,871,511,543,471,140,397,038,451,942,722,770,502,551,
626,497,210,313,332,845,831,697,324,170,710,013,476,838,815,066,209,598,928,
900,560,778,315,177,365,133,625,775,001,459,262,875,489,555,571,955,936,465,
406,575,200,836,287,385,693,782,657,231,102,594,178,241,994,000,349,836,621,
036,886,726,818,131,444,354,103,433,300,734,865,698,361,787,966,098,911,838,
792,112,091,674,939,876,891,273,373,601,038,175,719,452,708,865,353,198,113,
416,947,742,245,417,243,237,903,396,156,319,753,640,572,750,154,205,276,002,
378,554,563,589,757,516,899,615,377,102,216,700,362,359,206,273,506,835,041,
428,064,832,520,279,374,599,718,283,658,136,963,739,887,878,478,876,127,387,
190,178,311,204,161,178,062,034,536,263,151,532,448,936,020,067,296,840,568,
036,133,624,512,112,539,608,269,800,501,476,607,189,663,205,725,631,871,540,
061,989,661,984,482,447,182,778,772,247,442,070,345,849,953,115,012,271,877,
058,037,788,156,827,568,118,666,192,169,341,809,265,396,521,286,632,696,809,
230,812,007,187,434,112,214,769,621,420,975,864,962,131,842,207,443,836,822,
560,664,017,480,329,971,016,881,564,531,379,088,221,500,612,714,408,573,061,
487,956,052,306,488,679,820,611,683,225,024,849,482,019,297,425,414,757,013,
641,955,979,762,665,745,034,432,915,541,661,225,759,790,924,658,102,371,503,
149,308,156,992,192,253,431,882,205,611,001,786,808,642,992,089,860,551,958,
012,377,381,950,418,865,053,544,670,113,170,210,909,160,423,060,679,446,542,
643,196,452,606,517,173,038,659,637,183,684,544,183,106,763,320,508,242,821,
926,650,008,346,220,429,290,918,378,431,111,027,203,151,826,713,947,654,775,
777,506,576,761,516,486,158,115,832,913,244,214,536,808,991,848,537,624,265,
036,856,963,444,364,201,929,278,037,218,993,059,893,366,476,405,959,929,760,
496,995,388,658,963,112,538,929,065,588,696,166,484,344,008,473,260,692,628,
583,582,881,674,899,335,195,086,437,581,604,347,385,758,763,336,391,569,427,
330,705,766,706,395,867,296,938,905,261,311,132,245,186,600,827,021,075,891,
030,913,961,318,353,258,490,972,691,386,278,630,678,189,716,496,397,744,975,
991,090,486,151,022,375,740,932,464,805,731,066,953,209,075,817,405,301,363,
165,269,884,945,152,343,839,328,989,573,774,179,123,437,476,116,218,535,341,
766,466,436,679,535,459,381,021,190,887,041,346,160,569,607,963,105,078,480,
675,632,035,432,129,918,488,541,508,904,061,852,117,903,687,443,251,013,273,
528,175,106,569,525,379,924,359,259,074,973,829,587,114,873,310,201,772,676,
635,484,399,141,328,189,971,562,285,225,187,863,469,340,891,736,535,917,966,
807,676,407,931,426,141,245,742,706,861,085,432,659,658,110,860,745,411,331,
284,403,989,459,198,627,640,180,625,549,312,992,222,592,640,729,042,672,405,
913,313,502,508,685,547,003,001,821,343,461,648,593,096,841,774,300,114,832,
126,891,022,701,418,901,668,024,740,095,694,855,513,773,705,832,341,289,524,
326,947,687,135,040,396,683,833,540,200,202,532,316,522,940,444,341,713,917,
974,099,548,524,456,453,369,460,658,839,278,611,561,573,878,454,912,410,165,
505,717,207,781,021,276,762,708,632,176,513,503,243,490,485,474,902,569,464,
440,246,737,028,955,123,960,804,094,914,068,896,382,641,884,228,373,611,136,
095,559,398,481,987,465,334,577,060,341,549,247,228,890,314,910,910,319,736,
081,749,625,124,500,886,462,825,575,717,467,380,395,599,201,345,926,651,076,
579,915,395,120,882,857,237,813,856,951,596,886,369,931,290,538,610,864,663,
812,979,491,932,967,776,221,729,159,674,179,228,298,554,142,108,649,890,359,
542,851,401,699,825,492,279,427,968,555,984,978,601,813,989,510,669,814,241,
012,127,329,992,479,247,877,311,578,901,224,812,335,638,730,812,690,423,350,
618,210,245,176,019,818,029,967,228,831,134,280,919,821,760,829,567,289,873,
141,998,729,123,217,317,436,036,595,451,515,213,951,575,633,872,875,518,143,
737,934,855,139,014,684,091,462,995,109,464,519,577,540,538,844,101,830,577,
246,832,922,790,406,024,732,472,783,363,058,933,467,343,595,639,928,058,825,
650,225,783,921,651,133,162,590,937,658,812,865,453,824,482,762,995,094,696,
021,660,144,784,589,492,330,734,166,452,017,938,442,727,280,611,406,475,770,
018,534,575,522,901,708,682,215,472,347,488,004,163,658,794,558,437,896,513,
772,437,858,132,108,448,933,496,232,256,868,834,383,182,085,485,081,243,825,
031,889,690,546,197,247,592,313,247,780,883,324,196,637,350,285,675,690,598,
998,018,587,207,513,189,289,573,122,313,664,330,871,875,640,834,618,495,399,
252,778,387,031,843,640,152,977,070,603,317,298,775,376,207,849,193,827,247,
375,947,262,385,085,654,373,630,777,421,507,941,409,568,071,220,392,276,899,
098,833,017,230,793,512,553,659,197,046,203,514,123,194,689,204,455,252,497,
558,078,673,934,919,504,979,417,528,477,679,456,188,155,810,159,371,246,102,
316,779,565,408,667,145,710,387,521,663,798,179,424,153,473,662,842,299,482,
001,670,306,699,901,508,475,021,508,428,012,796,391,575,217,017,623,916,787,
584,011,292,208,716,297,661,304,184,469,928,929,316,003,755,436,352,619,830,
006,317,625,967,225,278,208,773,127,332,161,369,864,999,356,406,880,278,639,
423,212,122,020,989,969,494,494,441,856,309,418,241,715,146,893,933,765,634,
892,551,257,194,187,041,807,808,625,883,887,082,220,966,166,699,123,528,587,
352,479,103,654,688,532,137,774,109,864,407,236,073,821,044,414,294,342,857,
345,057,813,575,603,604,982,366,387,164,874,748,376,227,830,719,495,487,109,
451,170,933,670,555,653,966,113,931,654,931,553,026,554,307,852,341,964,653,
004,269,456,436,139,182,697,441,331,812,807,496,420,047,074,191,743,606,382,
974,434,123,390,871,014,174,939,621,073,854,782,686,901,349,658,274,424,237,
861,205,650,873,293,122,703,835,389,347,605,652,099,073,211,795,616,287,414,
861,076,325,946,599,719,361,811,453,395,972,768,573,916,780,882,784,227,363,
013,708,266,953,418,687,261,008,936,303,176,800,094,191,411,661,755,179,622,
107,477,930,729,314,596,281,748,996,312,008,571,340,553,720,827,453,234,821,
479,706,111,409,726,593,840,751,709,885,235,041,927,103,589,393,214,181,057,
946,853,058,948,535,867,099,630,748,911,471,666,234,222,053,126,326,516,769,
018,483,717,261,939,251,117,480,324,278,559,394,816,434,154,888,528,364,374,
586,893,669,643,310,640,119,581,939,062,607,321,117,904,289,431,842,038,894,
585,772,495,510,126,493,287,768,169,250,473,407,307,824,467,316,229,329,171,
381,517,774,433,129,524,485,096,940,309,824,439,135,930,337,805,030,511,244,
364,647,144,953,824,052,304,118,972,803,563,024,992,202,546,080,051,272,712,
617,616,351,127,916,373,844,813,890,851,685,884,166,927,762,030,173,364,917,
292,656,846,709,127,388,335,970,122,211,473,897,626,804,766,890,873,938,233,
328,916,146,953,733,735,147,228,414,154,061,352,726,818,364,421,472,608,576,
902,926,978,617,456,487,486,534,321,203,054,994,676,045,895,332,797,118,256,
359,624,321,837,216,737,097,523,013,135,796,255,522,049,397,424,627,840,558,
662,400,997,736,167,449,029,326,131,755,784,146,395,598,731,408,338,357,190,
571,186,747,413,526,282,276,436,153,284,360,522,910,349,791,549,864,005,902,
231,480,047,386,613,638,106,109,717,480,755,081,558,389,802,472,699,708,113,
963,780,795,196,584,967,102,391,264,065,051,395,807,831,162,358,738,470,068,
925,661,356,505,350,983,241,308,073,887,910,101,052,344,303,482,887,524,886,
072,325,761,975,106,976,489,536,570,484,413,336,530,625,818,846,658,051,738,
628,072,604,476,691,788,321,934,372,229,735,069,537,966,299,272,020,418,700,
686,801,932,724,634,631,866,719,390,493,522,491,087,136,220,897,788,214,675,
658,546,866,195,541,452,633,888,776,147,025,595,429,960,167,028,010,150,253,
318,125,647,467,326,840,588,475,720,658,106,801,072,733,728,398,454,528,178,
352,145,472,441,764,941,290,214,633,403,766,177,956,902,564,363,806,941,862,
862,425,085,186,247,343,684,875,165,017,232,461,764,388,628,576,719,475,141,
442,159,433,467,990,787,843,476,228,174,041,587,454,852,673,456,299,044,088,
698,146,645,122,338,939,630,474,162,657,725,912,744,546,558,785,437,815,165,
977,028,315,942,920,760,283,033,139,626,962,234,739,914,133,796,123,192,724,
888,715,633,820,656,811,056,296,179,947,351,720,087,332,576,319,357,801,637,
489,432,998,458,365,987,327,586,832,305,871,202,575,489,237,511,061,803,976,
402,099,730,505,956,621,430,368,742,549,667,519,943,190,797,532,098,312,635,
904,531,364,382,826,372,797,905,040,617,370,248,076,026,258,422,946,708,680,
435,659,312,636,819,833,714,949,737,397,019,643,449,706,685,360,854,388,016,
110,594,992,291,539,596,140,692,862,742,812,849,209,251,639,342,487,731,854,
524,973,652,792,598,957,271,158,893,923,252,697,521,900,370,476,822,875,548,
420,887,772,377,122,229,251,979,766,599,297,668,769,532,735,654,211,630,330,
841,830,841,521,606,515,041,453,833,667,228,139,633,315,978,311,962,764,372,
457,055,294,502,287,470,084,314,663,253,698,112,010,785,490,023,821,311,343,
230,337,086,120,892,222,890,984,460,820,711,985,117,139,539,754,267,256,411,
228,990,047,610,936,105,974,132,365,891,105,879,322,956,225,496,999,203,217,
627,930,206,755,266,443,318,821,551,692,509,709,500,071,943,406,396,615,572,
662,411,402,244,645,244,694,947,409,225,232,949,304,393,132,169,382,543,985,
024,160,250,692,899,807,191,267,593,868,776,106,360,972,522,761,268,056,690,
557,755,828,668,122,479,352,113,481,379,908,723,556,873,229,359,682,930,882,
352,933,155,869,019,454,410,325,508,961,561,941,705,035,210,275,652,403,213,
882,687,228,067,646,388,947,875,813,054,111,749,949,947,323,489,127,067,993,
622,673,011,643,398,252,021,544,795,314,513,638,407,525,084,244,792,266,262,
399,890,263,066,581,114,606,932,602,991,925,382,150,222,618,465,623,380,994,
280,390,815,485,404,358,082,096,125,788,650,589,222,014,320,207,876,558,698,
348,033,970,187,461,492,716,309,267,215,344,734,942,161,694,118,901,801,654,
613,932,396,351,217,762,575,470,180,906,355,228,434,291,681,148,359,147,877,
789,435,468,388,259,794,813,468,163,116,989,904,649,024,999,650,151,117,324,
232,383,487,924,645,819,712,843,467,926,441,991,245,845,632,186,156,488,682,
858,594,519,604,035,501,958,299,830,183,017,311,758,797,413,391,836,959,552,
797,023,227,226,068,713,158,933,196,458,038,258,406,882,170,842,173,797,142,
460,273,126,511,176,070,452,062,177,924,410,829,960,460,824,572,213,857,447,
158,964,044,613,501,728,777,394,958,318,459,568,177,416,339,416,669,079,759,
260,637,463,887,141,116,469,820,265,613,990,574,366,333,338,860,961,292,278,
354,633,778,448,608,564,361,462,153,917,220,117,268,495,865,565,155,949,075,
092,059,753,721,488,783,555,886,158,563,974,986,330,460,841,867,137,489,457,
342,112,820,222,596,880,746,812,305,358,700,236,030,134,988,828,059,347,811,
480,652,498,580,359,917,807,861,501,185,296,882,808,622,698,943,689,518,725,
395,164,597,851,441,591,716,164,124,317,495,194,822,505,478,690,882,845,041,
509,023,246,309,139,293,323,556,046,078,982,804,245,548,471,115,854,978,328,
841,116,808,938,677,438,103,125,084,384,626,514,454,702,271,667,013,550,403,
165,738,527,981,549,781,543,826,337,396,589,796,576,704,742,973,531,106,951,
234,510,689,616,028,097,652,200,958,133,109,349,474,989,671,533,248,292,034,
756,930,791,279,504,616,507,161,109,581,316,993,456,981,312,139,286,502,855,
482,112,446,127,203,930,475,573,964,382,569,736,816,609,360,559,601,654,371,
168,479,645,840,288,411,344,512,872,160,861,645,998,074,095,906,929,686,619,
825,440,951,933,709,986,080,272,383,110,263,434,480,504,364,095,830,004,815,
629,721,931,132,222,100,252,478,433,231,249,809,754,839,495,948,890,903,511,
687,679,743,097,196,214,882,573,773,519,180,517,947,458,747,130,976,339,055,
730,513,104,991,120,203,740,268,225,555,687,240,866,569,853,344,257,912,082,
659,523,156,201,596,420,134,798,800,925,155,456,262,318,635,656,213,843,760,
503,012,319,763,443,781,588,557,405,980,140,966,684,541,891,771,832,255,869,
034,665,491,193,889,796,153,344,122,312,909,673,222,745,582,067,629,693,775,
409,981,895,811,855,912,156,120,911,416,142,615,747,416,305,490,899,185,480,
957,885,027,436,152,368,633,256,934,157,242,832,975,519,543,726,279,808,713,
280,306,455,874,429,177,821,302,703,603,091,315,138,936,133,507,324,289,896,
558,148,774,490,007,309,252,851,757,124,956,886,405,873,540,704,135,721,503,
557,007,873,300,630,387,122,679,495,079,746,218,429,908,198,265,909,262,658,
739,291,779,825,842,165,600,362,418,829,591,681,223,705,802,584,110,621,003,
368,277,989,355,983,102,080,034,949,995,569,694,289,056,768,967,670,412,489,
725,284,388,423,217,000,044,769,771,305,961,798,462,287,470,752,098,250,378,
668,250,148,622,667,081,962,125,162,431,001,148,047,285,780,707,599,598,956,
533,618,036,011,843,934,781,572,643,760,660,127,336,838,756,129,425,808,093,
780,416,387,349,930,006,299,860,028,328,095,811,815,170,857,043,957,100,690,
868,383,657,758,169,297,914,441,375,196,337,521,553,693,072,956,275,374,372,
288,238,608,525,008,057,926,810,076,165,453,093,529,611,995,094,201,473,662,
277,758,721,264,726,278,854,279,388,334,822,287,665,659,462,299,438,262,427,
278,951,479,520,213,354,042,324,773,374,656,453,279,179,684,973,968,907,621,
503,955,118,071,833,443,770,294,391,650,870,414,617,321,429,267,439,413,574,
805,945,397,945,333,242,325,683,335,960,149,117,393,402,982,904,527,355,677,
825,809,070,427,255,553,100,034,199,339,296,525,542,427,394,309,603,077,330,
247,565,450,416,259,496,389,879,726,994,339,782,744,565,666,274,394,986,340,
759,612,225,319,099,758,556,289,614,337,337,018,814,349,107,087,047,001,611,
472,586,246,671,358,117,551,029,343,658,586,157,666,872,285,849,825,481,678,
603,536,997,916,716,645,276,825,685,540,999,917,721,572,826,424,927,948,785,
425,436,841,701,869,346,664,632,136,104,497,562,744,844,022,557,294,318,747,
739,485,152,830,259,002,248,371,503,987,399,785,173,411,466,737,705,801,445,
547,201,632,112,075,486,036,455,827,399,294,936,563,672,540,599,736,039,697,
108,838,982,081,177,021,060,547,669,295,289,028,209,807,057,215,331,974,689,
337,872,700,053,129,069,330,762,836,234,011,279,379,378,447,633,177,567,468,
535,157,485,804,220,523,656,745,601,517,997,706,401,827,542,495,916,171,905,
128,815,682,452,555,882,581,222,555,311,825,468,929,933,927,956,009,185,134,
837,495,042,664,583,564,721,003,473,005,028,769,472,057,093,494,600,743,025,
476,071,805,280,275,793,467,620,887,359,907,914,540,123,816,712,438,278,440,
707,354,307,747,350,289,567,567,432,263,963,969,729,718,244,571,877,977,524,
371,909,956,930,139,140,988,769,935,314,874,981,343,516,726,856,762,418,158,
962,694,960,259,754,686,178,431,245,807,393,534,742,809,940,617,415,076,392,
454,112,722,662,831,311,604,259,568,445,742,464,368,451,866,900,934,501,104,
580,495,701,419,049,372,188,382,800,305,747,290,503,027,243,670,532,463,914,
144,502,958,428,390,988,992,908,028,654,079,424,860,451,585,558,957,805,398,
254,637,598,554,648,672,188,363,593,211,911,214,734,153,689,065,387,327,178,
700,121,305,586,219,454,404,418,732,900,232,725,535,141,282,126,174,466,021,
663,975,539,848,676,041,902,307,678,305,987,016,626,845,365,935,096,823,497,
936,418,466,739,128,596,389,787,724,489,223,115,848,849,573,869,036,150,105,
848,138,375,465,319,336,392,342,619,394,382,014,094,275,094,886,047,677,403,
830,588,725,404,454,207,743,493,220,891,557,417,597,188,735,421,156,695,396,
752,673,607,072,399,480,434,174,230,744,615,810,437,851,951,499,637,772,969,
677,407,848,960,373,298,750,397,558,092,648,784,122,780,674,064,586,263,568,
097,251,975,841,771,512,887,571,629,087,672,677,726,715,540,457,960,707,522,
397,673,589,615,203,581,078,893,393,856,470,844,885,077,363,181,752,102,071,
704,922,486,142,788,317,425,060,431,141,490,740,222,771,931,749,379,738,538,
143,894,130,499,871,183,056,069,819,050,802,827,131,915,790,276,533,259,113,
440,812,528,656,139,806,803,247,041,854,509,750,018,074,436,877,870,604,122,
495,174,794,348,278,370,894,783,013,293,047,237,564,848,021,228,918,784,725,
096,949,969,784,289,875,435,704,877,109,486,291,275,945,509,325,014,541,252,
996,785,353,021,173,416,399,530,116,488,122,835,737,983,700,582,509,364,560,
870,112,821,619,777,729,536,060,185,058,112,676,281,798,624,097,549,815,796,
677,879,520,538,902,243,193,314,932,219,132,983,000,469,473,267,744,005,935,
214,136,031,207,474,104,678,605,487,185,106,651,920,218,701,216,142,999,977,
137,727,471,937,055,540,206,659,732,165,159,565,022,411,713,845,456,909,657,
778,901,002,433,137,536,487,035,224,558,895,275,457,992,376,084,875,897,858,
942,108,835,025,204,036,196,575,686,289,722,035,960,546,476,536,064,679,789,
018,504,889,758,177,884,978,584,141,911,822,172,383,690,568,222,138,131,227,
942,142,045,750,405,589,238,229,524,205,813,012,150,348,547,293,696,359,899,
524,302,236,532,821,230,642,013,794,896,763,596,083,893,120,954,935,007,050,
735,664,358,266,520,892,976,845,870,721,055,942,053,813,662,241,339,178,952,
478,039,965,432,927,658,990,194,409,189,530,737,311,681,749,215,249,622,415,
241,285,279,480,509,499,060,368,303,450,951,263,865,321,571,465,436,340,054,
446,081,754,099,090,377,210,550,783,001,540,141,798,642,027,762,842,156,152,
300,849,005,638,034,309,033,682,651,191,227,095,210,183,928,995,376,323,097,
415,540,542,739,800,981,351,216,542,247,450,065,295,900,475,917,659,097,789,
384,152,179,150,474,410,996,513,722,391,858,935,287,620,289,514,254,041,201,
594,249,925,015,090,559,373,831,465,958,225,374,708,552,634,721,161,434,926,
989,071,084,234,468,864,457,847,558,673,841,603,467,750,279,004,215,975,935,
322,420,549,508,827,931,855,908,185,670,123,986,427,868,197,421,215,326,232,
884,442,375,021,302,193,469,321,713,300,194,647,451,854,111,507,167,010,174,
565,545,530,364,763,764,954,898,651,212,992,771,903,939,992,759,778,041,280,
716,562,616,226,990,334,623,015,557,631,581,672,782,655,614,881,286,738,847,
331,406,346,407,198,690,612,097,068,806,269,835,234,435,617,602,440,977,562,
736,958,635,566,308,606,897,778,350,447,912,694,481,305,008,338,922,023,765,
970,661,895,334,536,097,414,737,651,318,871,344,629,759,209,787,804,454,767,
731,891,913,977,008,388,487,645,884,777,537,714,399,099,873,038,271,233,720,
093,717,410,019,603,452,348,899,972,083,033,390,934,191,599,668,869,768,713,
231,411,438,603,665,025,773,498,699,595,558,223,084,308,410,346,987,527,527,
545,565,184,304,820,262,885,014,136,287,695,704,015,593,335,236,092,741,932,
402,834,308,581,281,534,609,856,043,305,237,635,226,523,415,155,827,353,285,
061,349,500,055,452,819,758,384,201,366,420,510,096,805,183,400,558,758,582,
942,902,366,976,910,420,495,511,492,399,572,065,431,188,082,165,147,923,743,
046,313,655,819,613,440,817,521,922,065,335,531,650,882,743,533,594,600,314,
584,518,173,510,545,039,013,521,736,640,000,209,134,565,829,591,074,329,813,
006,740,848,241,225,794,697,338,622,769,429,785,657,480,828,241,643,008,185,
944,474,893,851,229,341,073,372,779,620,868,973,188,707,077,303,115,408,866,
987,150,880,403,002,141,268,908,769,773,761,047,939,705,423,847,079,233,562,
483,893,074,791,462,273,221,478,863,074,833,836,038,350,037,510,923,634,182,
194,937,943,068,165,343,164,717,018,360,547,621,491,253,775,253,670,563,226,
821,630,494,158,450,018,058,867,549,520,920,670,087,224,714,870,982,197,638,
946,852,917,973,490,370,378,110,431,260,241,411,656,391,213,844,326,222,776,
928,110,817,712,284,268,810,456,312,304,808,040,181,572,655,023,409,481,790,
870,619,248,340,853,162,949,330,516,991,809,838,000,118,273,002,534,384,248,
501,965,732,561,309,010,751,586,215,174,661,543,794,812,433,516,722,413,487,
260,698,636,624,421,122,748,810,976,550,878,175,193,192,873,865,373,790,419,
007,468,062,630,761,099,245,690,870,303,259,493,215,645,573,370,601,892,716,
568,363,477,123,700,182,706,489,211,216,824,740,132,830,538,642,418,747,731,
571,310,042,635,093,751,023,334,667,680,554,769,613,808,599,123,685,253,290,
971,413,125,255,837,180,044,606,800,313,654,777,092,902,396,833,135,253,292,
992,762,393,202,956,552,588,656,555,058,152,987,427,411,978,799,252,484,141,
363,582,360,531,664,655,574,286,183,429,061,525,945,812,019,105,844,327,825,
538,316,984,277,531,188,045,206,236,241,724,093,401,046,693,418,411,706,519,
613,842,306,216,204,772,343,067,152,076,140,821,241,210,098,470,147,806,209,
838,091,478,635,642,779,120,378,136,648,131,622,224,986,335,477,905,266,632,
199,197,618,550,296,602,553,816,821,473,346,977,567,548,152,676,438,390,404,
907,860,634,424,465,709,602,099,440,822,039,685,132,309,722,125,090,515,998,
691,969,364,535,120,638,182,763,910,862,336,416,392,559,094,882,190,832,779,
174,233,982,943,811,960,733,328,890,553,988,645,863,968,113,164,003,957,096,
877,744,837,466,620,213,098,649,391,161,938,708,100,804,111,860,881,494,958,
613,123,445,596,432,544,956,610,814,324,266,217,324,710,734,793,296,675,277,
264,355,002,492,828,178,007,130,095,932,687,682,858,525,618,670,240,032,777,
757,167,639,433,925,556,293,749,912,156,348,054,579,664,041,002,506,408,641,
651,574,375,162,380,284,632,021,808,494,023,945,980,862,685,847,958,491,367,
144,832,829,779,176,412,606,755,113,294,154,769,062,205,206,721,592,390,795,
606,740,784,655,119,462,462,885,606,826,917,344,542,170,171,358,322,178,610,
126,677,282,937,997,508,241,310,701,277,444,160,062,623,079,591,275,787,287,
296,455,299,899,187,193,229,961,466,872,867,191,056,872,980,055,971,765,350,
973,246,952,089,685,718,162,551,779,278,229,986,186,182,006,155,902,814,095,
972,371,613,470,804,240,259,979,521,235,279,879,289,913,157,456,601,863,319,
887,293,919,485,303,096,587,194,235,550,405,505,468,324,976,142,253,712,271,
494,421,749,829,686,646,949,393,552,304,446,439,005,998,551,912,550,300,679,
401,943,475,790,207,824,255,454,157,809,659,323,735,461,910,307,677,083,769,
111,253,030,333,535,018,711,263,535,582,905,976,234,886,235,620,489,785,767,
039,735,412,853,554,389,313,595,393,820,312,780,760,017,684,467,156,008,301,
343,839,172,110,240,005,761,428,792,990,548,620,719,205,650,904,335,024,597,
092,379,616,995,401,013,010,242,967,085,400,798,195,264,685,121,009,179,231,
553,701,990,988,576,300,487,152,053,965,379,371,847,364,229,063,359,131,035,
291,409,027,254,977,532,363,825,901,692,298,040,892,146,854,500,855,772,693,
034,019,625,836,059,859,532,075,003,745,162,611,025,064,781,655,525,677,554,
043,069,534,085,967,168,119,339,138,803,909,905,336,658,368,678,541,241,376,
605,764,424,031,829,689,549,220,406,115,332,567,393,499,902,797,160,175,488,
926,249,234,681,150,494,683,853,765,134,666,881,885,446,123,857,181,794,234,
896,402,815,471,147,688,922,320,041,243,963,267,972,744,046,150,680,242,085,
259,090,187,664,720,733,718,948,468,037,793,847,300,873,104,961,294,785,639,
693,490,526,401,332,261,957,435,461,320,940,419,272,007,891,822,918,497,544,
672,788,262,495,522,323,292,753,953,582,433,783,285,726,182,149,328,159,749,
889,067,289,407,042,737,332,204,916,087,098,286,607,238,929,355,846,390,335,
971,821,796,844,364,507,934,566,310,862,557,300,809,063,874,183,769,134,541,
844,754,729,848,583,149,436,948,782,380,773,625,540,012,155,179,082,887,888,
629,529,101,934,333,403,921,423,030,778,321,222,327,380,131,587,521,946,525,
914,329,924,941,623,545,434,848,862,308,806,808,935,709,308,973,828,472,878,
091,249,573,740,640,619,282,513,713,167,290,574,101,805,963,819,566,351,415,
313,612,130,963,102,227,237,148,858,090,917,821,946,751,822,671,614,815,481,
547,318,491,152,372,553,735,728,022,625,052,577,775,924,545,364,159,236,202,
634,597,366,073,541,483,205,957,925,866,387,249,224,492,338,797,705,629,448,
357,906,861,725,251,341,036,875,776,927,359,525,295,841,561,912,864,407,862,
529,669,352,644,223,895,114,496,027,799,840,297,725,078,548,553,305,494,183,
088,563,798,611,993,217,995,235,885,353,229,351,316,873,103,509,622,613,020,
503,066,207,794,943,176,360,812,971,686,501,986,209,952,915,164,130,203,263,
572,310,521,542,027,773,991,504,121,724,111,800,912,935,561,945,643,771,046,
540,164,989,356,443,625,674,013,323,730,161,811,432,930,201,352,006,723,619,
395,395,578,736,853,813,536,472,467,024,633,900,370,379,429,277,025,316,264,
938,960,929,340,116,453,905,134,606,512,594,426,445,039,002,404,914,834,548,
039,593,926,170,956,650,537,753,785,038,386,219,241,499,141,106,328,886,266,
285,649,042,814,725,868,030,347,242,292,177,991,579,910,587,839,120,378,691,
318,349,802,875,600,470,542,700,318,049,296,148,509,675,086,342,862,566,664,
020,204,014,687,639,400,290,040,569,671,354,431,732,557,185,742,700,562,480,
830,509,688,079,779,439,486,288,301,602,184,706,740,821,303,445,755,916,181,
358,558,841,399,612,296,211,928,689,484,160,823,486,470,817,841,523,012,591,
846,009,033,491,282,369,301,381,743,651,954,335,629,925,714,270,110,141,786,
672,175,730,600,128,339,184,995,848,904,759,097,164,358,562,778,799,106,559,
443,550,383,409,938,750,089,062,817,284,858,919,766,059,304,339,111,954,898,
125,658,963,483,557,576,020,119,911,844,941,918,794,487,529,249,332,638,060,
390,166,801,435,184,871,989,587,372,632,120,732,869,153,573,320,762,533,293,
399,345,730,697,990,390,548,893,051,332,414,408,889,533,843,302,471,458,507,
500,371,342,946,604,890,138,094,370,961,650,373,917,096,526,577,282,332,460,
329,580,306,777,432,427,466,138,089,639,036,823,320,217,179,921,967,038,556,
549,528,104,751,141,914,107,024,707,009,667,079,474,767,569,954,757,729,310,
172,532,141,863,776,299,512,145,462,107,482,944,626,185,984,765,202,071,613,
568,425,961,612,329,209,342,991,207,986,669,757,307,953,398,828,236,003,315,
528,043,429,519,555,616,810,887,550,550,970,044,941,144,166,560,089,086,623,
816,573,657,429,417,850,211,027,184,904,717,581,312,518,485,515,819,607,368,
761,821,952,359,294,191,956,953,894,122,657,144,600,835,244,133,126,697,382,
571,348,177,492,557,607,087,018,530,824,035,802,204,289,301,666,791,593,434,
154,079,468,953,579,715,493,583,765,311,645,169,938,015,058,618,889,376,664,
910,842,034,968,258,681,279,474,624,414,959,627,726,086,200,442,848,658,658,
125,293,944,511,664,210,232,418,692,909,135,517,930,939,330,700,242,227,310,
268,242,299,671,340,977,876,890,334,432,249,023,123,744,504,384,925,651,537,
414,859,747,259,987,955,676,905,903,694,457,020,993,006,613,937,338,293,424,
925,167,864,377,369,650,086,877,253,553,530,234,565,574,674,849,159,375,919,
728,313,578,435,376,981,879,956,766,203,517,087,732,828,559,977,026,556,933,
010,884,345,183,671,722,457,580,190,980,062,267,000,251,331,800,107,261,019,
695,885,556,863,306,403,070,198,685,293,731,204,142,073,114,658,463,020,970,
326,657,336,963,117,797,818,141,522,774,025,426,127,917,336,773,522,218,428,
667,364,135,126,495,602,409,962,392,069,766,463,356,217,945,567,653,106,675,
808,852,256,412,544,769,779,347,197,644,939,514,564,663,199,651,519,821,036,
863,594,096,802,527,771,475,031,254,589,044,529,720,299,069,389,372,422,078,
635,874,436,907,849,828,216,597,920,659,988,649,125,374,840,145,541,017,331,
460,052,573,476,763,565,206,097,171,412,605,093,737,868,506,068,128,826,161,
048,645,446,758,890,113,200,866,392,926,583,725,209,059,399,890,515,646,786,
065,676,166,376,438,592,094,271,013,571,089,180,198,409,150,270,355,028,922,
832,697,628,199,593,858,426,678,209,257,081,125,548,876,958,069,959,649,405,
143,894,835,477,850,573,607,155,731,797,013,132,425,661,045,755,763,039,315,
334,821,788,334,508,419,694,828,456,927,036,063,290,037,315,243,457,456,719,
401,492,341,586,986,100,212,916,793,864,835,290,379,910,355,569,944,974,712,
330,803,963,665,830,385,219,919,463,747,172,995,088,508,081,735,447,455,514,
705,529,939,573,566,563,917,286,921,767,138,571,444,389,120,466,831,795,565,
113,487,117,257,083,868,525,207,285,678,360,235,168,302,067,773,838,095,461,
353,981,612,653,641,064,339,760,272,668,059,703,470,373,660,840,770,470,993,
303,536,150,704,230,994,906,835,828,784,635,652,383,812,866,298,826,407,239,
527,420,677,246,646,034,393,865,445,754,419,400,550,679,357,685,804,173,843,
044,494,133,219,999,936,404,025,522,662,984,352,153,387,733,111,477,383,795,
375,515,901,733,069,879,656,554,259,923,020,520,503,978,268,327,740,394,858,
859,549,044,300,386,840,866,393,827,051,385,874,545,057,746,035,453,514,659,
119,054,030,689,377,473,491,606,702,050,077,371,738,119,254,327,149,618,004,
350,615,107,296,702,899,247,456,601,510,066,810,555,182,677,582,331,077,945,
118,625,957,830,554,126,504,586,869,862,987,709,867,416,625,405,671,186,801,
441,728,774,098,493,771,711,767,417,339,225,169,536,025,734,060,864,741,219,
191,568,806,817,698,121,792,362,807,909,170,476,709,840,906,535,451,554,741,
560,135,749,472,445,006,672,178,129,618,151,907,763,934,036,736,423,158,724,
908,499,135,397,168,385,796,012,606,109,929,043,494,787,297,942,654,794,118,
405,789,010,149,336,517,820,841,777,491,441,408,781,715,067,354,371,987,770,
550,329,995,952,583,587,158,021,940,472,360,834,758,229,223,299,362,395,471,
874,092,238,999,624,391,247,520,816,835,508,336,164,623,952,748,069,339,458,
357,818,409,189,525,511,300,403,798,146,393,220,617,960,613,619,919,851,776,
409,399,944,714,911,856,101,990,238,402,376,505,534,038,716,281,415,216,071,
137,222,776,929,678,936,166,326,546,732,462,270,652,367,562,173,926,342,112,
636,163,856,224,634,318,241,414,930,126,474,862,560,994,988,710,853,315,186,
666,959,163,844,130,445,327,423,869,989,566,628,623,038,456,100,718,154,986,
305,161,686,595,688,487,491,648,830,691,391,407,834,822,131,784,068,469,581,
711,913,826,031,430,030,634,929,011,939,986,055,604,185,452,671,575,524,423,
491,377,422,643,958,048,746,768,202,451,008,948,422,754,109,237,862,313,269,
776,104,775,049,563,132,275,928,550,431,585,459,411,120,205,109,407,233,219,
729,654,917,422,822,247,404,962,130,798,118,885,818,837,538,813,102,885,778,
796,315,259,003,431,956,035,491,570,610,488,617,452,966,040,317,558,256,276,
033,147,877,872,800,008,711,079,753,077,563,753,146,679,225,105,547,023,507,
054,327,987,348,857,816,586,896,449,272,303,211,607,244,896,136,081,536,833,
046,188,562,129,338,966,957,859,674,653,708,168,631,541,611,938,292,140,855,
023,312,908,574,112,005,863,116,127,939,162,583,265,553,305,096,275,148,909,
328,097,878,766,313,166,605,637,536,219,162,111,397,130,053,685,574,326,381,
981,847,641,539,212,833,470,961,144,346,369,437,807,828,777,130,629,513,645,
238,507,567,323,464,126,365,752,928,433,895,661,138,640,986,034,766,794,956,
219,316,384,765,755,565,812,934,429,690,487,653,945,617,281,631,308,687,752,
408,349,512,599,479,075,387,596,525,539,727,560,590,131,640,496,944,797,119,
564,559,757,299,259,416,416,511,801,565,592,873,292,388,603,838,822,152,459,
384,359,364,930,838,734,098,457,551,778,493,306,674,076,270,504,349,201,636,
538,438,509,151,851,786,792,469,003,868,683,292,047,334,590,879,593,698,857,
609,523,871,088,033,635,050,660,220,203,254,419,146,117,071,787,685,304,852,
225,332,047,200,944,137,549,957,957,033,309,961,304,362,973,805,240,500,993,
998,432,295,578,156,686,355,371,354,856,763,209,979,545,200,849,222,211,061,
489,188,514,632,774,757,155,436,886,479,831,784,095,557,312,533,533,405,528,
806,595,643,720,126,658,010,499,485,790,692,506,244,744,541,576,457,392,981,
625,781,479,481,261,710,803,752,061,749,890,216,510,966,742,314,025,944,580,
933,846,974,074,618,953,616,003,535,038,438,893,828,354,639,668,516,828,097,
334,818,854,480,411,012,579,006,854,063,942,348,172,245,928,205,305,468,655,
390,638,457,673,529,731,183,837,778,728,589,092,899,707,015,420,679,231,949,
574,918,891,334,215,770,513,130,383,068,441,599,486,796,973,457,174,590,610,
898,029,886,193,835,597,752,903,753,690,817,707,040,050,063,244,164,418,692,
168,727,708,560,432,261,997,533,996,570,415,476,789,808,744,267,222,400,155,
035,934,514,292,969,127,615,378,673,470,263,641,779,427,645,970,904,580,373,
795,616,882,316,464,744,039,023,284,787,382,618,016,169,576,285,954,179,500,
138,658,378,764,700,021,372,194,477,378,096,001,615,729,087,713,579,028,728,
614,510,560,191,697,256,652,134,854,873,821,818,039,685,805,867,465,517,819,
109,263,349,969,253,780,178,046,863,618,612,478,328,574,811,884,264,050,157,
990,535,370,561,987,778,730,723,739,951,330,411,091,240,999,647,063,856,559,
272,280,849,350,401,685,652,684,779,405,775,738,692,068,059,953,665,000,194,
851,547,912,777,383,837,872,245,221,165,596,174,079,624,834,231,884,858,899,
523,516,420,625,630,088,199,964,056,858,884,952,961,978,386,450,973,262,106,
144,990,222,850,402,080,996,433,619,394,068,431,329,232,965,780,009,119,396,
516,205,788,112,285,226,531,826,861,912,656,790,042,087,135,826,709,641,619,
941,722,247,688,444,319,949,045,222,129,003,284,307,969,275,797,639,117,270,
578,055,320,986,264,113,028,753,478,501,725,927,115,447,145,920,405,749,153,
598,552,754,671,071,193,802,337,069,687,349,201,460,918,124,287,265,284,611,
070,386,225,337,570,566,453,105,165,102,234,816,352,768,826,057,438,839,481,
198,655,866,083,515,519,476,998,026,546,823,776,283,074,687,578,910,952,178,
507,428,414,749,871,411,822,071,166,158,911,541,748,087,437,267,420,296,068,
493,503,603,140,272,590,323,589,367,691,777,277,216,388,932,132,961,095,454,
654,224,375,888,577,386,458,341,150,758,657,064,797,574,345,051,667,352,658,
256,185,764,623,266,586,948,785,542,041,543,305,499,131,280,654,919,176,786,
035,529,581,628,163,394,875,195,282,488,385,807,605,867,052,886,717,077,950,
365,627,007,106,149,260,287,490,226,144,832,239,456,421,971,366,281,510,969,
888,439,412,958,311,204,615,282,581,535,460,010,046,608,517,852,677,818,763,
181,249,959,411,694,720,922,923,716,136,705,666,390,056,731,880,520,444,988,
531,801,289,570,772,153,864,531,635,115,170,108,582,360,998,964,848,549,264,
232,980,914,096,978,467,963,717,346,700,534,989,389,209,122,464,502,314,945,
324,913,138,863,447,716,517,220,473,675,692,108,436,619,441,166,912,700,045,
160,475,482,426,988,897,519,410,297,819,900,299,842,147,906,815,810,666,513,
347,015,793,277,942,440,652,602,130,911,188,106,161,143,952,831,543,282,453,
477,859,214,572,693,305,941,235,480,674,648,805,927,908,302,717,224,856,352,
499,180,871,890,276,613,798,773,623,383,737,634,628,823,717,257,771,941,275,
058,459,445,105,245,393,187,426,585,493,467,006,030,645,432,932,468,973,312,
431,071,557,449,728,172,143,204,369,290,951,969,004,419,266,086,517,834,690,
501,500,453,765,808,516,521,797,589,088,848,803,804,078,069,030,605,563,075,
058,685,271,750,743,035,385,421,148,339,329,519,137,450,643,950,180,887,676,
985,807,051,756,090,236,276,194,884,577,888,898,595,356,895,619,622,320,514,
548,496,161,430,063,973,533,535,235,163,810,706,241,338,581,589,195,175,933,
887,328,196,228,938,420,876,455,764,146,398,127,625,258,214,391,683,495,184,
270,020,874,741,771,948,848,840,242,389,393,730,741,991,110,004,287,822,849,
940,532,834,394,931,044,172,342,834,785,523,769,658,855,064,448,309,089,174,
070,295,611,731,844,805,926,150,507,325,407,854,075,953,241,937,171,037,499,
329,441,823,027,387,519,215,384,382,787,027,468,613,608,535,422,435,255,694,
911,667,072,407,045,455,370,132,869,041,665,767,956,711,300,853,586,287,582,
029,035,950,013,770,294,776,136,087,785,829,104,851,801,425,409,955,399,496,
900,043,134,923,200,087,236,350,294,914,818,916,199,143,256,001,347,504,758,
480,125,681,550,212,427,546,001,235,188,194,095,652,899,110,111,398,994,362,
198,553,597,533,089,000,112,167,354,779,888,308,925,386,869,943,627,655,582,
093,268,414,936,482,261,125,453,105,300,789,150,413,002,184,441,513,028,422,
666,269,437,546,303,145,257,197,810,633,964,078,268,228,752,849,748,758,767,
733,187,766,972,522,104,514,763,995,151,868,504,504,982,238,200,690,193,051,
997,459,340,428,393,716,542,301,907,567,351,138,586,569,735,797,716,225,667,
042,184,078,340,329,893,744,075,717,980,697,928,000,317,642,140,332,032,804,
731,905,618,719,827,466,554,310,081,207,642,952,929,516,362,705,404,697,934,
525,965,375,085,747,501,604,538,797,911,440,068,471,932,375,769,297,130,678,
606,199,145,729,459,610,823,989,960,736,249,712,340,836,657,518,336,069,258,
045,295,883,531,444,566,212,174,663,382,441,153,894,919,091,362,101,499,241,
621,364,709,202,752,521,730,620,877,744,185,508,202,659,666,659,263,048,175,
918,192,285,815,948,257,362,421,505,520,802,855,970,068,430,812,827,600,249,
012,734,385,429,536,074,913,872,076,500,621,820,392,049,051,366,748,159,893,
493,107,389,691,162,771,750,666,952,696,193,590,405,439,783,456,364,211,531,
932,357,618,825,854,282,653,609,258,848,316,947,080,128,494,681,691,142,808,
830,445,310,407,916,210,682,142,904,798,297,896,273,355,961,822,236,853,574,
518,753,191,521,670,652,596,469,578,705,158,589,224,150,891,031,781,209,497,
705,260,291,906,925,047,979,806,018,352,087,728,373,373,658,586,040,425,553,
187,966,686,794,555,489,365,770,373,348,877,680,581,474,977,689,003,348,277,
930,673,215,985,295,634,843,207,409,731,631,283,802,701,654,160,785,633,095,
317,634,533,593,727,143,757,216,016,392,789,582,093,743,299,178,633,227,131,
144,746,217,387,941,014,928,176,435,745,529,469,409,356,240,112,531,453,614,
246,333,886,148,444,979,104,803,187,545,391,457,600,723,509,354,514,281,910,
555,474,725,848,179,960,326,236,945,142,395,938,554,512,014,869,666,313,235,
214,400,662,913,231,740,877,920,670,508,003,828,358,749,660,367,441,436,275,
288,755,750,796,582,813,458,925,660,964,100,440,298,099,324,914,555,254,609,
162,066,928,028,707,232,367,193,154,803,690,142,070,105,486,783,233,533,757,
064,699,373,343,393,906,689,196,702,325,983,602,356,702,577,402,389,385,131,
343,046,699,898,390,044,322,517,280,054,723,436,033,714,161,778,247,106,214,
690,190,259,737,759,322,587,595,956,756,957,229,447,481,172,641,435,685,727,
684,949,164,686,212,236,890,171,824,954,241,297,432,485,570,087,411,400,096,
522,443,304,122,081,716,584,544,612,746,386,156,501,046,850,221,067,868,817,
773,563,734,658,483,053,305,855,272,281,619,668,505,681,013,114,141,797,107,
662,184,433,477,233,732,498,267,718,059,866,528,562,851,168,059,257,155,484,
149,628,714,933,442,298,320,742,774,534,395,436,597,501,869,419,446,600,022,
015,178,040,773,240,884,095,488,638,729,564,037,116,893,692,001,699,310,212,
277,607,745,246,873,805,980,584,007,769,646,238,216,439,537,657,144,989,731,
112,242,965,629,365,725,174,533,921,346,668,647,499,351,085,750,066,634,092,
703,108,229,562,121,938,782,189,027,414,409,071,870,736,688,772,154,278,961,
861,395,357,147,376,815,938,134,919,127,356,946,916,344,233,536,166,960,709,
063,053,510,261,743,952,157,134,441,801,599,078,153,742,082,346,220,562,266,
117,727,276,295,062,419,594,246,387,677,555,290,007,909,213,675,099,796,075,
632,756,002,533,434,518,604,095,951,502,973,771,267,080,184,978,196,926,121,
122,070,974,699,659,270,069,545,635,890,346,601,821,105,773,620,441,912,674,
669,441,888,936,004,904,050,834,674,467,300,225,819,128,159,387,145,739,625,
908,439,179,165,787,153,070,500,290,998,815,630,678,028,758,849,541,930,894,
687,521,040,633,910,019,488,036,982,276,407,856,980,529,004,050,463,762,389,
611,117,379,065,579,622,622,021,852,587,465,886,143,222,510,536,009,573,857,
753,180,549,675,683,317,112,554,245,084,701,263,853,188,045,752,828,783,988,
736,255,467,992,949,457,786,981,897,945,093,729,731,451,320,305,085,231,519,
115,898,510,176,380,098,639,437,645,880,059,480,836,622,599,138,581,412,063,
702,647,284,727,584,083,527,994,454,481,366,946,696,337,271,108,128,741,661,
623,175,020,458,926,810,388,908,084,902,071,939,379,187,862,066,124,175,742,
105,007,176,604,369,379,154,192,032,144,323,925,280,607,535,987,393,377,047,
105,500,001,095,782,659,760,544,998,521,979,849,195,293,635,276,184,099,955,
425,087,960,994,379,179,858,201,731,098,242,494,379,771,034,134,279,410,602,
908,617,348,028,296,956,156,173,722,259,263,799,915,795,046,738,154,322,219,
997,490,120,522,651,250,708,074,482,535,755,071,871,427,757,110,403,307,232,
321,252,845,210,931,971,089,621,430,875,311,397,163,510,443,561,353,880,782,
651,500,140,864,837,852,314,021,516,367,939,140,221,586,287,550,113,670,346,
002,043,240,398,646,223,874,393,406,726,740,269,134,394,247,616,180,246,463,
026,309,429,939,612,065,980,487,281,122,992,276,779,718,165,686,322,519,716,
789,843,326,792,239,381,670,870,008,124,786,842,276,999,056,521,858,510,608,
936,812,477,934,549,150,472,498,137,289,141,030,139,368,587,891,890,012,687,
646,082,854,441,631,103,650,659,704,039,924,475,465,572,554,417,486,554,370,
356,901,121,358,515,710,586,862,017,678,294,139,017,964,878,180,174,216,222,
254,255,865,546,632,805,274,914,626,044,860,231,378,853,095,031,262,424,923,
699,541,248,420,484,019,684,381,215,317,034,307,428,112,597,545,541,995,284,
232,976,339,370,622,558,198,745,460,968,489,163,260,415,377,690,132,454,465,
945,005,662,800,983,162,400,981,520,593,269,571,630,419,523,446,577,990,560,
715,450,866,064,906,373,537,086,468,077,192,412,323,144,378,681,702,640,950,
614,558,094,168,985,819,500,025,993,729,554,315,711,038,632,813,273,481,633,
917,882,399,766,795,134,890,671,239,135,034,761,418,402,452,977,681,844,224,
095,256,173,692,070,295,687,470,062,451,629,469,122,604,164,893,867,579,790,
774,572,990,529,509,893,309,519,193,058,345,135,361,602,065,666,122,312,601,
757,608,581,745,019,263,708,669,419,094,830,471,052,326,116,950,828,303,369,
798,632,281,304,338,919,334,027,525,716,301,464,864,685,169,909,776,235,008,
176,210,728,848,919,531,560,165,156,908,695,102,792,430,260,280,804,562,933,
198,295,501,448,755,507,549,606,717,260,080,706,606,083,431,553,377,448,269,
447,759,642,398,360,870,023,828,592,345,346,523,125,372,738,147,049,142,116,
580,524,684,270,804,526,352,176,253,815,941,407,769,933,907,638,191,799,050,
984,983,067,764,253,582,890,426,435,895,583,056,661,807,298,076,809,492,929,
828,171,867,887,977,366,130,573,729,680,594,230,829,726,677,829,420,406,796,
569,417,200,685,036,642,515,229,704,081,790,682,603,473,412,685,696,545,078,
155,698,996,728,336,526,267,279,134,083,841,272,947,051,819,271,934,619,047,
597,202,364,207,623,035,584,317,561,733,509,334,155,542,560,434,012,639,399,
028,242,887,707,906,692,770,744,868,240,368,619,426,206,463,449,182,982,953,
571,827,974,249,766,729,997,148,566,765,066,243,950,817,433,271,324,917,662,
085,202,948,066,994,525,178,242,463,883,094,255,605,387,119,361,168,430,828,
666,115,261,365,771,887,020,851,425,388,173,685,929,086,606,010,604,536,863,
241,458,133,805,056,200,659,201,628,086,547,461,081,349,069,835,381,186,781,
531,338,632,147,626,862,004,925,030,583,910,256,654,349,281,392,607,352,871,
855,577,164,840,858,144,250,704,241,704,530,702,827,782,957,544,059,505,133,
718,553,934,405,299,196,386,833,429,953,599,347,765,845,534,048,948,299,501,
258,255,103,085,141,615,438,306,245,337,982,218,044,637,521,976,071,549,960,
785,404,583,234,187,844,741,655,104,728,895,344,741,605,664,586,735,196,527,
694,150,001,924,598,254,347,888,901,768,680,547,038,127,661,805,594,526,343,
591,723,704,954,077,621,765,623,417,230,182,328,264,612,811,965,364,752,921,
046,075,466,056,934,112,927,121,519,862,186,748,841,948,685,365,949,185,050,
316,476,030,723,653,856,041,276,291,722,043,355,169,706,882,354,971,996,491,
393,934,171,556,351,729,128,422,166,799,052,779,779,360,207,216,787,629,278,
601,871,710,274,896,964,963,070,561,213,439,017,629,134,417,407,761,792,255,
713,805,154,724,002,934,612,676,771,037,657,591,616,400,161,414,182,804,703,
913,033,847,064,199,071,051,664,825,837,661,637,522,231,649,301,509,050,056,
588,873,103,149,289,218,666,664,348,148,729,492,009,011,590,375,651,783,354,
326,075,232,969,707,613,993,470,560,699,678,597,145,960,759,054,823,376,864,
622,605,775,939,852,341,464,141,059,449,930,625,169,323,794,968,828,646,963,
658,396,220,936,384,405,872,276,088,003,443,790,419,926,134,002,645,335,664,
259,099,159,349,639,556,980,116,273,444,733,562,918,880,276,132,458,008,748,
788,959,002,588,479,686,455,358,677,840,004,915,869,445,246,440,027,753,058,
667,093,224,978,522,454,269,082,417,442,935,979,368,690,498,820,447,183,302,
713,010,597,062,846,072,707,264,371,519,440,912,900,545,210,681,451,540,142,
743,536,746,661,753,432,361,709,488,657,641,985,241,806,088,480,006,624,989,
197,797,108,203,944,818,186,179,697,497,871,960,517,887,342,516,432,352,305,
035,493,444,218,155,097,460,003,407,332,227,318,991,322,925,129,965,557,164,
526,023,567,145,459,442,570,697,892,472,606,570,128,375,825,814,169,995,811,
344,324,021,345,118,768,383,406,248,974,556,504,606,939,023,733,031,782,039,
181,422,290,588,127,294,173,153,969,120,514,505,379,355,553,972,472,568,052,
708,442,286,973,666,811,926,917,842,577,830,418,542,614,953,463,614,441,732,
633,984,455,181,055,157,783,211,759,868,016,756,503,330,786,831,256,220,535,
434,038,354,392,928,730,175,665,495,288,525,662,414,262,951,934,694,971,628,
772,772,528,729,171,043,538,206,566,465,583,548,881,037,534,671,645,204,018,
835,351,538,482,158,285,807,521,182,728,750,093,659,602,110,683,967,618,908,
393,451,757,739,257,176,014,114,242,535,557,594,808,619,384,052,657,642,997,
179,117,562,141,373,963,103,770,277,174,694,616,888,153,352,660,351,745,090,
628,790,494,689,702,613,661,091,757,116,789,951,513,942,644,770,529,267,067,
469,248,542,442,812,084,146,474,380,332,745,593,982,057,709,084,593,332,198,
117,163,058,109,157,030,366,879,083,921,440,424,742,013,403,842,017,325,925,
713,764,187,044,053,914,040,079,878,758,020,062,131,859,609,500,793,445,973,
329,580,756,691,037,895,389,849,464,214,581,194,249,202,074,630,816,437,996,
884,177,154,896,940,997,495,551,732,558,546,716,045,644,601,434,759,264,106,
241,601,749,806,243,627,106,368,744,967,860,489,740,526,697,827,200,055,909,
618,726,066,278,183,737,758,944,534,786,947,879,257,464,475,346,260,301,084,
808,622,878,939,063,341,313,424,857,624,034,333,970,390,850,084,162,734,956,
684,177,781,285,407,556,375,261,446,450,248,173,732,443,521,759,803,022,106,
191,849,649,456,994,329,601,154,922,730,693,272,519,904,408,847,940,208,696,
633,421,612,625,558,564,568,972,206,028,667,383,977,374,815,393,438,020,794,
106,859,820,530,258,002,735,834,181,529,206,396,649,245,979,731,537,842,947,
892,620,489,404,903,219,455,189,982,781,438,157,039,216,160,041,570,880,224,
257,998,441,866,172,287,102,920,747,582,671,441,138,358,542,954,911,944,867,
279,661,412,037,373,078,200,246,343,941,349,267,543,255,387,376,786,470,235,
938,439,451,561,617,775,355,703,366,952,002,532,371,655,695,619,628,241,936,
923,619,155,197,901,300,438,177,874,260,476,049,901,176,405,982,686,856,438,
120,725,059,259,187,106,557,096,565,333,801,854,021,691,551,560,217,610,769,
389,958,206,977,304,440,679,931,933,567,293,951,784,079,818,265,750,682,520,
605,766,753,580,292,722,045,142,635,093,882,219,324,876,768,434,346,872,634,
275,420,935,031,418,720,445,339,757,180,041,268,604,435,994,503,125,248,133,
427,864,157,526,648,649,947,084,532,599,283,940,989,960,107,392,736,880,561,
193,093,231,747,896,536,281,910,383,792,038,424,030,764,278,235,445,632,638,
421,709,788,334,293,366,551,727,428,613,627,870,870,508,965,741,940,502,148,
946,165,998,483,455,767,427,004,898,490,730,875,049,144,127,352,345,853,513,
543,337,940,481,716,471,621,494,052,943,986,816,254,242,635,205,285,886,197,
149,353,801,501,748,784,675,566,048,436,865,199,004,481,081,820,423,032,947,
311,793,186,189,289,727,832,552,660,878,350,595,505,446,137,421,533,461,815,
097,210,006,159,662,927,947,400,932,506,126,746,354,781,371,568,036,773,249,
315,979,203,232,674,402,832,383,035,358,176,964,390,217,746,847,511,448,174,
655,245,179,820,445,059,226,446,739,904,582,342,129,650,378,519,380,990,191,
793,641,783,420,282,905,299,983,526,829,052,221,040,395,008,419,780,098,609,
091,187,437,428,053,888,773,068,052,562,547,002,777,682,389,438,714,314,593,
560,695,426,034,960,861,584,950,770,452,784,768,131,546,606,517,976,146,514,
211,493,617,848,201,893,579,919,221,708,887,201,616,194,870,052,693,432,534,
992,962,244,373,998,329,436,838,300,540,382,680,597,856,566,024,127,324,004,
901,527,186,898,921,319,828,843,648,231,983,181,813,364,373,073,106,339,141,
256,472,794,191,661,041,963,948,418,287,947,851,662,947,593,150,356,847,035,
412,468,513,943,340,661,735,647,130,141,435,341,214,075,796,846,951,831,097,
274,921,313,276,785,176,327,680,088,370,798,240,964,184,294,212,444,880,054,
609,842,153,598,619,281,623,639,216,703,015,906,661,228,807,820,312,379,517,
551,661,081,609,456,835,505,645,170,796,349,281,459,431,566,696,080,728,689,
246,034,315,542,314,781,458,769,595,580,674,948,777,675,601,444,097,852,951,
736,578,686,981,293,267,582,163,893,906,273,818,592,084,089,754,388,311,705,
909,476,382,671,744,445,008,163,171,936,439,802,893,109,702,686,587,397,601,
345,235,778,656,427,224,945,920,107,372,938,407,709,499,169,953,663,118,585,
395,466,816,844,995,721,211,462,604,969,163,833,116,849,882,450,667,154,536,
042,907,624,671,040,604,017,111,435,037,470,097,592,467,144,836,771,510,101,
293,969,125,761,171,884,213,251,293,768,356,516,707,290,060,870,206,197,718,
005,962,651,287,634,274,411,572,578,100,897,045,923,640,937,258,735,629,572,
947,292,248,945,357,806,545,807,866,196,574,761,105,337,626,429,265,270,499,
007,074,521,070,227,101,537,586,236,008,615,316,685,625,341,164,951,040,352,
689,452,695,424,431,042,698,613,565,795,083,367,937,700,618,475,010,102,278,
924,796,724,783,583,840,650,470,814,583,702,915,583,470,498,977,690,599,275,
944,024,915,309,629,906,462,052,338,863,097,048,636,419,118,597,352,229,209,
149,437,154,849,149,769,929,925,193,242,607,886,732,221,593,143,626,910,784,
610,337,567,154,979,264,244,360,978,215,176,614,103,586,929,174,278,708,568,
765,216,718,288,401,513,159,291,164,222,138,084,217,329,697,147,447,738,088,
886,267,300,755,003,095,588,266,920,241,069,844,739,546,753,682,548,364,985,
798,653,712,533,318,775,425,742,171,162,352,863,011,992,109,801,648,579,714,
354,070,542,767,904,862,982,288,321,765,528,922,399,427,076,782,734,336,052,
133,315,121,178,061,381,070,811,650,485,068,587,018,435,776,377,382,531,107,
515,097,324,492,661,227,554,039,017,513,873,486,879,407,052,898,486,253,147,
401,008,920,993,345,753,625,234,990,827,564,650,749,668,697,048,265,370,021,
252,112,930,812,055,821,783,045,398,571,440,464,528,568,172,390,287,620,568,
927,932,831,246,238,293,612,644,568,514,551,322,910,815,127,125,503,022,442,
130,122,780,063,856,009,861,221,018,163,994,754,105,526,493,990,858,664,330,
531,928,885,531,874,063,827,704,233,943,098,331,966,672,953,298,170,229,684,
898,222,468,418,819,427,703,568,324,311,235,124,927,977,766,192,963,644,555,
280,241,260,498,425,864,613,074,727,679,404,921,224,316,633,077,425,725,355,
822,232,442,435,146,932,132,460,516,173,203,871,620,231,199,704,552,994,458,
515,188,992,564,103,016,220,357,990,119,364,596,386,051,354,234,659,845,853,
149,392,206,844,355,337,103,461,337,869,079,326,644,149,368,399,636,096,362,
994,441,483,851,683,240,063,874,994,581,361,415,223,829,631,778,234,067,750,
490,487,179,815,348,650,284,837,254,162,216,983,729,199,824,574,416,058,800,
542,409,041,692,732,644,627,036,999,689,958,295,126,943,767,065,456,612,143,
507,470,655,830,685,509,704,764,742,114,326,309,244,292,174,883,629,831,795,
280,281,656,609,245,678,839,929,085,160,595,960,158,554,102,641,845,460,004,
625,918,942,402,921,217,139,360,333,422,171,959,489,550,174,509,888,692,920,
367,647,424,108,464,445,508,161,538,120,842,382,094,514,777,632,977,936,748,
983,863,359,023,103,644,801,498,527,009,172,384,545,109,359,663,343,985,035,
587,138,622,917,400,201,553,342,535,617,268,097,387,938,703,360,263,804,017,
783,176,976,406,413,673,477,673,330,471,499,737,953,928,795,766,180,677,697,
640,222,621,169,968,879,397,509,251,438,043,890,514,652,966,153,153,235,237,
060,340,475,167,151,045,607,258,938,385,369,539,908,352,445,743,171,103,019,
273,149,497,728,350,946,785,062,398,142,572,405,393,124,987,419,685,876,710,
482,527,505,608,837,843,570,712,374,106,073,654,987,465,610,096,151,897,843,
306,328,089,559,340,933,846,848,527,553,024,882,090,974,745,805,860,058,242,
946,578,041,046,414,286,602,189,514,915,523,713,092,686,157,622,178,333,231,
437,766,474,813,058,539,995,975,982,202,656,738,532,674,581,128,118,132,888,
422,293,328,143,038,233,088,980,026,639,240,631,657,218,086,525,809,460,742,
432,033,608,095,486,683,908,997,070,225,749,805,996,418,860,141,602,795,340,
360,180,550,329,484,619,271,049,183,842,727,179,643,772,712,853,198,483,205,
830,643,892,340,263,520,815,090,583,768,267,288,070,842,047,428,448,066,325,
605,608,337,287,924,732,048,947,247,583,810,613,499,507,713,241,431,512,829,
716,265,406,519,688,011,880,467,952,732,389,259,929,416,018,470,760,923,039,
122,853,154,454,075,295,082,136,221,654,086,248,519,558,606,882,197,242,072,
260,635,594,168,125,336,857,855,491,345,332,396,926,457,223,353,089,466,585,
883,458,627,970,293,144,989,158,697,308,895,005,279,436,170,961,610,960,951,
271,723,766,192,639,044,533,970,868,106,054,571,748,727,250,540,634,204,698,
924,020,080,944,493,724,287,089,229,545,545,838,354,993,616,176,632,286,346,
693,809,358,803,483,759,079,943,367,474,921,224,842,799,647,966,746,109,253,
169,016,656,684,641,566,759,058,758,643,574,594,005,201,368,777,141,895,132,
002,085,770,378,624,522,138,166,548,866,950,850,328,507,162,090,895,003,398,
350,888,666,362,781,536,009,927,612,098,610,280,940,054,033,831,886,715,177,
372,599,178,664,343,448,470,977,802,938,049,487,526,338,583,959,696,652,495,
138,727,259,528,604,578,483,673,560,489,562,285,795,531,011,783,321,331,356,
456,043,982,638,063,204,207,996,420,733,254,166,938,914,908,114,015,477,758,
632,741,039,281,762,407,816,860,379,390,516,928,337,472,113,262,389,244,561,
716,215,200,189,702,085,496,335,006,865,606,442,826,729,706,053,370,977,865,
317,876,087,299,358,357,469,115,812,891,002,503,581,968,116,528,338,720,907,
708,995,891,457,212,031,167,176,417,377,478,860,557,048,497,056,689,736,464,
393,237,037,133,812,530,679,748,556,491,920,091,419,703,600,765,900,616,889,
459,404,710,901,410,590,311,957,793,763,794,168,340,786,618,189,680,097,047,
558,364,527,713,629,137,361,585,975,063,968,253,586,249,066,087,475,881,309,
516,581,077,991,170,790,585,694,691,955,187,342,872,861,515,162,747,289,351,
019,722,325,175,181,419,002,258,316,292,537,213,983,121,191,780,522,304,666,
156,167,388,024,265,304,837,840,753,307,502,203,242,313,000,890,558,147,478,
194,300,172,078,941,903,625,130,383,134,620,949,224,157,866,595,738,613,360,
830,931,839,447,330,493,752,903,851,641,831,895,395,442,684,764,661,179,406,
468,933,127,623,964,150,173,635,791,846,629,522,561,664,939,749,062,039,991,
048,282,739,880,819,909,476,495,601,227,376,482,250,676,240,688,429,207,615,
985,269,551,796,268,914,090,657,376,499,504,489,667,901,073,847,329,364,787,
966,884,602,613,456,836,983,940,714,721,765,832,188,811,894,794,931,487,248,
331,358,790,611,358,083,415,179,283,245,093,913,075,048,161,705,372,524,339,
918,399,312,655,682,722,835,506,712,229,765,422,392,406,463,778,593,471,989,
032,068,060,721,253,102,519,916,735,555,153,399,956,199,112,005,171,202,198,
224,979,251,071,022,223,194,574,875,875,849,709,679,844,301,614,522,086,087,
248,404,840,585,800,997,564,200,574,874,729,978,674,498,535,813,294,749,301,
684,129,966,277,161,140,808,453,825,237,551,259,385,286,295,455,432,747,510,
735,595,849,122,485,600,335,770,614,642,777,337,866,980,986,428,858,042,705,
151,962,632,816,182,815,127,120,947,256,087,217,416,942,823,592,071,071,140,
109,035,924,272,534,320,768,066,700,128,333,184,227,159,670,568,576,958,523,
398,476,296,204,859,649,571,484,635,691,991,755,426,013,605,304,537,873,733,
659,362,051,003,291,871,879,430,840,716,651,019,244,764,538,485,205,930,046,
175,934,818,889,574,195,945,768,628,531,846,835,382,694,452,947,705,782,667,
721,675,131,315,123,599,367,241,524,653,564,815,970,064,304,075,753,327,308,
503,994,039,914,294,545,804,767,887,861,835,514,043,630,920,523,520,653,592,
805,486,515,649,763,304,190,668,381,861,479,839,246,848,337,315,315,079,367,
702,879,940,361,529,779,865,626,713,476,151,180,405,780,118,620,217,021,661,
470,361,405,250,367,146,231,691,178,905,183,491,240,585,438,345,999,160,249,
158,942,033,515,430,729,779,533,715,493,371,047,169,292,243,717,420,107,023,
330,890,679,191,572,970,648,537,130,896,690,142,372,511,505,011,550,707,710,
406,836,584,064,940,067,828,750,709,560,716,852,593,444,790,277,671,149,845,
441,664,547,820,356,219,938,704,350,120,020,418,353,730,167,254,592,773,216,
868,594,162,854,209,247,253,590,525,025,760,286,600,354,863,534,833,835,396,
318,134,091,735,570,721,520,934,902,168,763,422,313,935,822,067,005,534,666,
872,804,683,850,794,380,691,431,651,831,211,968,522,934,904,358,696,074,495,
803,929,729,255,608,941,674,433,330,882,979,431,680,159,822,132,957,777,548,
389,953,417,940,528,046,317,505,125,090,016,510,516,528,583,020,523,393,276,
147,561,288,427,743,858,096,084,795,769,687,017,247,347,365,765,470,240,025,
131,009,804,001,428,973,162,872,055,695,216,892,016,788,432,905,139,477,324,
431,011,286,806,522,350,072,935,774,477,983,089,481,656,281,974,720,367,002,
182,653,120,422,401,082,483,921,234,173,249,092,324,086,060,640,866,044,951,
338,317,793,065,412,011,674,600,658,985,485,629,213,860,334,980,523,831,547,
241,139,556,680,144,081,314,885,056,655,577,846,476,509,326,821,357,964,810,
330,802,813,975,329,279,168,778,074,712,774,712,568,500,259,122,849,329,438,
990,969,564,252,855,776,212,291,767,542,328,644,844,326,639,342,070,883,689,
151,473,094,143,461,163,205,229,094,953,711,203,291,646,947,285,318,691,654,
106,753,010,850,170,751,845,922,548,904,253,480,918,005,761,233,456,186,545,
717,188,198,428,123,621,801,908,276,695,156,626,648,165,426,395,419,900,211,
126,471,069,134,796,343,305,842,853,102,607,782,311,197,433,990,640,008,966,
990,240,078,384,130,668,021,035,642,396,773,905,798,973,295,906,655,921,667,
760,845,739,615,265,212,742,786,905,202,233,106,788,155,507,097,438,198,559,
966,080,427,277,492,514,857,490,783,412,720,216,409,538,864,969,647,908,965,
692,826,898,907,461,647,562,016,690,176,250,978,698,235,251,443,690,100,275,
366,917,991,020,432,187,016,048,800,610,973,194,756,057,884,791,187,775,875,
238,475,466,187,772,245,666,017,005,247,026,503,681,500,833,664,058,648,400,
106,981,608,426,515,415,820,415,028,345,626,985,149,535,329,623,114,777,912,
221,591,045,496,968,089,826,716,037,286,284,120,635,516,959,383,440,558,707,
210,059,159,320,343,198,574,721,617,956,614,950,623,636,233,725,020,258,408,
752,803,875,612,222,638,049,189,729,798,254,516,799,046,569,064,962,884,797,
148,829,945,998,412,927,106,695,421,019,645,895,734,812,214,530,594,132,108,
791,980,512,244,278,370,091,483,926,879,216,426,592,744,607,548,936,015,255,
029,939,728,045,094,493,704,701,202,215,881,000,813,355,996,464,052,211,941,
434,387,842,621,480,166,443,389,830,495,548,665,621,739,623,449,361,609,300,
451,404,268,166,525,538,639,124,553,749,159,512,983,038,230,264,418,318,290,
073,653,769,381,644,278,276,678,911,777,609,686,418,644,386,904,129,614,825,
070,371,866,426,985,587,962,296,202,942,567,218,695,427,469,719,198,372,828,
393,606,454,004,506,547,891,485,854,659,414,451,331,090,720,586,863,775,575,
074,703,784,820,611,478,670,734,697,927,197,899,260,171,395,794,985,728,888,
267,398,508,188,067,272,324,272,295,606,474,306,582,250,118,732,244,003,943,
245,226,280,163,646,299,628,081,243,953,708,903,197,539,576,281,660,631,202,
211,139,736,848,631,662,198,591,113,597,657,249,996,990,211,542,700,345,984,
203,383,637,889,442,653,166,376,543,061,925,876,474,660,997,539,823,354,838,
419,734,920,891,989,676,989,599,094,905,072,920,461,978,848,930,154,278,624,
483,281,139,218,306,602,246,328,469,598,340,819,490,639,531,214,418,222,644,
759,684,375,664,893,345,988,118,464,058,454,226,192,743,974,398,171,351,745,
604,867,974,163,269,102,270,533,428,071,762,409,997,825,804,189,942,854,111,
115,319,403,078,553,659,800,649,555,923,009,731,919,469,884,989,729,339,368,
588,223,624,856,775,319,230,364,594,453,388,112,662,511,133,967,643,583,731,
869,937,827,413,228,947,903,636,353,706,780,076,657,521,508,612,400,685,895,
765,891,463,419,072,443,951,578,785,721,272,244,976,330,238,626,425,869,665,
994,418,611,657,733,610,003,831,260,080,824,844,616,949,351,846,350,973,703,
360,923,683,574,884,708,172,049,897,759,884,201,275,024,350,056,556,675,357,
766,189,669,992,149,244,313,930,842,853,754,026,523,515,454,881,505,181,700,
743,969,555,685,879,718,356,829,180,425,957,781,754,240,369,300,363,983,066,
302,157,696,395,238,665,424,285,950,267,077,982,265,205,308,455,733,110,397,
353,293,826,669,434,647,581,416,615,735,221,257,037,223,735,004,573,022,066,
138,899,119,862,250,690,570,014,689,433,802,799,831,261,925,474,260,182,137,
774,664,353,383,054,220,973,689,709,233,407,389,739,821,733,110,560,216,450,
853,216,973,342,729,661,724,718,872,247,944,706,825,138,621,123,971,654,632,
696,309,771,557,351,557,491,222,455,508,528,877,297,185,989,485,275,051,719,
933,644,664,479,978,957,671,530,937,391,202,012,511,747,741,273,236,368,848,
824,221,514,138,986,041,202,881,359,307,716,968,542,857,689,218,817,227,682,
398,967,103,642,275,147,667,478,524,684,587,397,606,226,441,489,899,669,574,
020,103,098,739,783,807,340,158,511,543,872,743,642,238,655,224,116,364,931,
979,193,365,572,257,470,839,453,983,942,222,657,694,481,240,221,313,089,084,
396,288,736,795,192,037,476,669,550,013,707,091,935,384,193,819,059,946,080,
148,947,668,044,763,011,617,798,883,966,182,259,692,101,985,606,076,228,581,
791,620,820,065,018,598,225,514,181,195,476,629,630,342,379,465,487,712,123,
465,737,168,009,159,721,926,517,742,344,672,762,974,247,736,806,197,397,234,
782,188,738,699,375,452,258,000,129,028,922,200,199,252,961,037,149,149,858,
244,913,195,481,104,072,948,495,378,735,116,658,147,241,158,303,886,288,408,
387,745,572,398,579,438,782,703,610,305,521,320,491,752,162,937,096,929,576,
605,011,635,533,146,395,761,406,828,048,116,160,067,492,510,864,389,086,590,
309,780,416,617,421,928,712,839,932,138,974,491,705,519,713,177,550,813,795,
233,119,814,952,521,581,413,322,181,930,762,588,164,075,800,152,642,274,707,
025,481,018,882,173,612,909,019,584,878,605,224,946,892,841,096,239,305,359,
644,038,911,901,135,766,211,229,814,364,609,279,085,362,418,759,812,473,608,
328,101,778,088,699,853,745,071,199,901,782,793,202,475,036,685,408,695,276,
929,783,562,594,069,180,350,507,940,822,074,864,094,687,738,703,072,350,497,
790,098,245,764,667,966,179,441,075,684,696,631,071,289,248,117,796,535,818,
762,484,485,853,440,519,661,117,181,322,087,563,395,466,002,017,718,368,618,
849,083,740,698,232,770,711,846,598,500,965,175,770,602,915,379,238,941,945,
500,148,468,757,230,746,716,613,599,048,694,224,243,678,083,652,255,849,780,
406,576,313,099,384,638,791,790,728,298,234,394,445,646,383,900,697,559,176,
352,235,953,887,502,634,589,854,674,073,183,677,193,798,895,266,326,306,257,
256,953,139,425,909,204,766,040,265,039,237,949,097,194,777,970,684,978,825,
540,623,338,991,913,852,565,738,642,930,686,494,639,366,159,861,768,486,070,
770,869,585,440,700,576,852,837,081,579,609,436,963,914,458,763,961,136,837,
945,786,395,102,550,246,493,615,706,165,098,596,647,551,423,901,675,826,837,
241,625,782,914,176,970,670,355,952,617,349,047,702,110,123,493,583,939,475,
943,151,911,839,604,428,302,071,989,435,492,682,740,376,539,067,458,658,626,
103,475,875,722,633,785,695,622,308,908,965,929,452,073,731,756,587,763,331,
280,094,225,141,257,367,805,205,707,348,588,398,234,146,879,455,328,492,273,
336,570,377,227,145,846,854,510,260,548,502,997,218,689,544,450,023,711,851,
523,651,701,419,143,796,681,693,095,729,706,957,867,327,676,764,591,537,119,
050,472,386,527,746,459,483,149,514,984,978,626,171,895,817,636,912,281,055,
047,692,670,147,310,821,019,458,560,234,282,684,106,693,652,851,078,972,312,
401,710,122,011,192,366,836,397,594,739,823,672,503,958,279,107,714,013,618,
497,730,717,369,470,391,751,385,550,016,399,408,691,690,636,520,634,650,946,
084,241,553,307,135,396,312,476,244,680,372,153,480,013,380,741,085,089,922,
039,849,164,101,239,941,269,108,492,435,384,018,590,805,345,575,424,489,258,
949,183,975,148,730,893,696,577,773,995,671,691,079,187,943,540,714,628,879,
713,245,777,658,606,048,449,842,392,323,754,035,231,172,117,977,846,962,339,
425,381,169,449,782,438,869,720,021,504,765,065,753,389,769,063,779,294,057,
931,190,305,408,932,036,689,039,999,213,299,162,430,205,757,575,729,634,197,
813,015,252,526,621,722,210,917,307,800,164,048,419,313,513,685,268,547,062,
539,936,357,239,221,568,769,711,835,218,980,304,307,190,383,590,911,128,196,
162,501,862,292,097,594,402,959,420,032,685,222,076,930,972,407,127,697,498,
339,807,498,503,486,561,071,788,043,896,654,402,373,701,057,514,883,923,930,
186,879,593,528,132,141,998,619,030,478,474,824,943,584,805,309,780,451,601,
071,157,964,687,749,365,378,062,716,062,978,154,748,026,206,016,105,604,505,
109,156,394,902,591,929,675,819,002,248,593,960,334,058,052,088,116,584,417,
474,455,352,701,550,551,500,278,291,776,246,863,427,268,632,922,337,968,456,
823,489,413,726,498,377,059,383,913,792,063,398,465,855,765,511,373,119,307,
500,959,487,443,018,601,984,922,681,887,072,114,529,142,376,813,281,999,005,
937,590,719,966,936,560,966,577,820,604,766,802,626,215,229,641,184,043,057,
624,729,538,997,212,500,134,471,362,900,230,703,162,605,764,911,167,476,031,
185,022,131,347,917,264,547,252,221,700,775,742,731,969,644,467,448,719,056,
007,717,989,514,808,150,762,839,235,794,871,486,769,818,689,243,800,766,763,
085,373,822,596,394,676,449,875,072,879,971,546,217,997,372,803,732,403,907,
828,043,530,667,188,333,179,403,236,036,177,975,516,305,536,014,793,916,457,
833,183,190,752,010,464,642,326,483,910,446,511,528,753,025,122,338,466,613,
467,822,302,566,667,660,714,210,770,637,775,425,155,766,169,399,241,638,004,
795,352,930,181,239,535,860,959,861,778,733,463,039,622,318,130,404,473,618,
222,688,574,003,855,127,673,980,176,011,438,157,266,744,175,504,440,457,528,
177,835,292,857,712,110,278,099,088,283,977,361,336,987,614,763,454,259,089,
153,302,254,644,285,087,296,950,697,520,924,719,704,239,506,766,382,369,786,
221,096,438,446,639,345,426,536,084,307,383,030,676,865,968,046,031,913,127,
102,942,946,344,413,655,023,647,063,805,593,599,169,563,231,044,615,760,804,
284,768,419,402,708,840,865,466,710,605,680,550,301,610,003,657,516,311,477,
156,162,487,619,855,006,841,328,185,059,794,367,959,894,381,487,279,825,172,
283,710,019,598,257,926,602,555,659,037,060,590,301,733,748,445,285,208,365,
549,750,365,927,156,082,888,961,117,044,355,408,372,683,512,275,460,977,220,
781,609,525,256,903,432,258,793,268,429,557,333,300,095,087,160,145,785,596,
978,101,528,488,133,302,115,544,986,540,147,610,663,973,570,891,646,554,452,
583,142,115,136,106,063,099,198,772,937,708,405,877,671,382,463,392,992,828,
944,253,769,914,625,039,588,195,213,659,082,208,578,142,282,635,882,394,491,
349,539,818,861,751,919,346,712,485,134,483,611,656,592,581,987,258,004,296,
598,159,762,750,373,035,686,165,425,839,747,528,178,445,906,931,695,221,400,
731,262,941,951,578,539,524,432,744,576,583,319,806,192,057,581,870,337,602,
521,785,726,670,480,873,769,283,184,913,770,139,326,699,861,556,774,214,627,
107,245,523,570,990,483,137,959,393,198,566,246,187,335,623,864,785,249,374,
448,123,420,920,048,221,130,862,976,760,669,781,191,672,925,061,233,049,142,
466,603,680,836,903,115,787,719,019,876,033,694,705,550,776,414,729,905,190,
228,291,183,650,421,441,583,506,635,802,735,308,230,443,349,624,216,562,873,
344,631,105,479,376,955,324,790,441,047,911,979,919,147,449,833,509,074,309,
630,463,057,693,274,285,904,525,192,908,630,766,490,717,211,561,586,955,531,
621,308,591,170,594,864,073,876,777,937,375,262,999,776,666,328,649,726,734,
531,774,337,299,723,035,474,021,623,416,664,794,756,616,040,481,059,601,674,
550,128,558,601,708,734,600,299,753,061,972,998,889,454,711,983,515,793,625,
110,122,092,762,580,859,561,841,771,171,951,464,996,474,529,087,675,926,523,
451,821,226,607,460,791,607,515,335,751,318,296,702,972,244,727,030,309,743,
544,475,108,777,468,552,959,481,605,831,988,524,431,984,203,079,243,378,922,
621,234,920,557,720,553,567,816,114,404,928,025,866,496,153,185,806,230,447,
325,790,282,409,928,250,783,110,969,456,562,038,698,140,777,598,908,510,830,
845,025,344,613,066,141,583,062,646,276,419,770,414,778,888,125,145,701,580,
807,799,878,437,702,338,955,002,784,694,607,683,960,521,363,534,366,290,473,
812,415,324,361,001,008,421,980,359,711,912,874,021,065,895,903,066,310,608,
538,761,769,360,983,267,775,093,179,101,932,027,748,722,369,213,467,467,125,
796,930,579,485,075,480,585,166,794,776,578,156,261,084,058,415,961,432,157,
915,078,339,817,418,054,233,499,752,215,017,414,049,126,392,700,304,614,190,
773,332,039,786,408,507,007,069,686,278,903,983,413,314,174,195,638,869,332,
559,764,981,599,048,320,846,636,236,682,631,091,283,544,235,559,593,223,821,
480,141,683,377,981,145,236,671,008,595,680,749,186,588,153,312,799,758,562,
320,521,380,403,553,294,786,227,855,601,394,226,085,377,726,850,356,275,253,
954,544,504,403,396,386,971,017,450,837,635,281,246,033,974,271,598,319,800,
836,240,608,979,678,668,769,884,245,903,031,276,649,154,811,911,307,467,358,
688,018,731,128,936,884,670,990,408,618,533,986,553,844,878,551,264,797,571,
008,148,643,693,232,866,485,809,950,559,447,986,231,687,419,783,406,176,921,
136,140,239,341,356,479,861,234,373,911,265,937,371,739,599,263,929,726,066,
185,509,513,821,964,109,726,854,655,792,898,171,511,335,354,947,711,624,745,
526,891,781,653,888,747,254,777,085,760,766,834,053,029,424,369,941,228,572,
507,417,007,999,190,988,676,356,310,589,698,510,606,813,794,584,492,848,991,
935,687,514,669,303,382,213,615,649,878,515,942,863,076,297,754,859,279,662,
447,519,439,094,196,829,457,917,360,223,970,719,444,161,730,385,477,710,613,
326,171,546,828,119,895,697,308,132,271,925,844,255,735,001,044,264,311,435,
544,187,064,272,049,561,966,093,294,854,076,312,563,345,407,985,372,007,991,
225,635,921,599,959,192,313,219,039,348,457,871,619,050,171,264,607,002,461,
082,888,327,902,983,786,908,089,994,830,845,885,787,603,666,563,377,983,930,
903,980,667,657,101,125,502,443,703,349,890,583,999,916,094,038,650,754,719,
138,304,711,075,830,347,345,694,780,328,690,380,767,561,030,299,350,863,952,
298,272,697,281,730,993,302,670,184,632,555,487,632,039,695,751,172,246,832,
374,445,686,842,257,264,299,961,971,361,561,033,426,997,928,293,275,547,309,
261,766,813,601,065,573,802,478,430,356,756,946,339,349,570,310,624,062,554,
262,475,452,398,411,063,402,544,216,429,123,452,348,522,482,165,290,719,190,
767,680,619,029,449,008,174,811,520,814,852,042,319,972,897,474,567,770,335,
774,069,362,646,429,786,287,794,846,676,251,962,309,684,499,009,219,740,615,
608,507,462,126,339,691,671,121,253,059,500,543,629,712,917,019,206,864,471,
308,003,641,218,676,035,753,934,932,050,289,895,182,577,959,345,108,740,488,
155,010,930,758,238,558,753,614,133,930,974,795,062,690,028,419,003,420,994,
613,165,139,074,716,131,212,311,512,126,105,190,425,627,080,812,121,878,059,
142,527,254,702,322,322,267,396,997,890,173,542,969,258,885,986,827,320,539,
396,125,665,884,857,294,754,862,615,642,530,627,302,418,058,322,413,130,735,
057,390,780,110,557,585,239,375,594,222,363,175,154,284,786,377,747,284,561,
368,185,612,674,805,183,763,660,515,133,249,314,337,441,683,723,347,056,472,
494,482,747,418,654,735,225,958,210,901,166,006,559,861,293,960,957,482,978,
720,563,765,792,657,279,352,682,793,413,898,098,172,634,968,885,791,334,426,
484,152,565,047,507,260,876,210,237,983,272,388,781,223,907,015,249,985,392,
970,011,370,903,675,017,138,338,227,311,649,148,953,440,557,847,594,014,522,
274,266,404,263,145,541,984,714,098,795,357,869,034,538,660,924,018,092,139,
403,294,803,134,511,466,275,810,554,860,165,969,118,059,070,021,862,765,865,
182,371,654,080,600,224,741,859,579,501,543,095,188,579,021,166,076,740,709,
951,739,355,620,740,812,035,511,238,742,935,226,401,597,819,125,280,855,280,
223,331,358,210,885,265,498,538,934,233,268,945,410,795,901,331,724,173,403,
641,893,067,055,365,522,822,542,361,953,434,579,119,215,354,550,730,780,420,
879,880,948,961,098,346,454,223,899,879,817,577,393,087,349,940,252,134,478,
967,445,265,549,291,175,856,558,642,002,424,913,407,356,154,223,998,438,208,
637,005,546,971,462,771,946,585,012,222,081,860,520,362,562,014,551,026,344,
778,710,447,267,498,066,625,378,909,108,037,481,469,446,207,718,200,294,689,
853,153,930,551,676,391,131,057,782,135,272,581,915,923,747,932,812,883,503,
316,494,661,708,599,342,773,048,744,211,006,884,427,117,021,768,765,546,119,
295,130,235,007,608,998,114,786,813,248,883,944,115,228,783,136,447,807,490,
992,117,030,296,654,109,338,151,342,604,243,292,889,759,811,861,630,795,042,
854,068,040,291,055,482,434,462,598,156,539,262,673,321,606,409,869,639,199,
685,730,084,908,294,329,048,786,696,348,872,827,772,938,591,069,840,199,959,
478,440,613,767,348,311,622,720,603,115,879,789,472,287,767,798,826,746,845,
709,192,180,380,034,635,717,298,091,538,390,153,628,526,211,512,851,549,037,
020,556,837,977,869,171,481,843,711,199,134,904,325,344,179,172,288,162,730,
058,150,224,809,415,071,172,180,994,759,047,435,901,269,220,673,684,315,029,
532,218,091,804,541,418,104,726,845,856,531,983,508,196,482,382,826,256,682,
056,479,789,261,757,619,303,381,196,881,964,753,227,228,690,732,770,725,642,
627,473,564,795,340,526,799,575,275,824,862,644,578,395,792,488,795,094,356,
304,650,284,548,368,865,473,034,301,340,170,151,245,620,197,415,553,856,528,
915,218,031,062,377,237,076,029,234,915,848,791,509,763,008,987,815,471,084,
206,585,099,819,040,727,629,848,552,767,827,619,425,696,002,286,514,062,692,
621,183,159,193,733,677,278,355,603,240,261,425,771,091,996,474,439,567,704,
859,465,116,432,092,753,322,046,091,970,935,475,416,230,568,702,816,525,435,
724,096,040,681,001,975,149,053,387,888,947,812,312,531,881,324,229,725,561,
514,946,643,190,489,862,990,140,104,842,774,058,342,509,586,049,186,703,682,
861,217,906,906,585,845,621,316,321,430,199,534,759,706,259,893,969,079,849,
227,278,533,512,973,720,981,803,317,393,108,696,744,372,473,313,402,927,017,
512,729,621,662,625,180,682,921,363,873,590,615,620,672,964,893,315,816,835,
202,209,712,329,176,214,364,752,682,966,502,977,570,160,102,006,268,962,546,
095,632,021,606,492,343,630,406,518,868,718,303,467,839,486,552,535,177,847,
083,364,719,333,234,022,092,182,412,569,507,174,468,544,638,390,194,162,706,
882,810,194,697,653,651,229,701,423,080,652,845,742,553,070,093,611,518,030,
836,421,783,803,442,399,347,444,924,060,137,180,817,886,253,194,404,547,028,
919,928,479,541,375,934,097,470,134,531,274,394,967,446,596,229,453,882,062,
412,522,127,641,267,988,238,351,353,396,482,692,066,270,945,711,400,080,556,
400,118,288,486,636,731,544,970,382,846,483,131,925,979,739,376,540,222,164,
783,477,701,230,779,345,478,943,256,157,577,017,022,996,673,154,964,664,825,
683,978,722,916,500,837,066,872,734,352,423,913,876,427,252,429,807,498,051,
148,756,499,846,830,575,895,293,083,466,861,490,838,906,815,910,851,435,616,
583,803,964,822,023,479,776,442,399,080,545,518,164,889,533,437,214,423,046,
955,624,326,473,259,891,459,534,659,850,256,804,417,819,085,229,872,325,165,
400,663,620,785,450,151,457,707,426,744,267,867,510,281,667,461,545,244,325,
879,752,426,925,395,296,930,354,053,536,120,153,226,430,738,388,195,982,981,
356,727,823,797,178,557,613,016,887,549,434,123,078,407,689,783,726,714,705,
987,092,309,326,751,907,452,411,050,452,503,189,570,534,351,024,436,667,922,
762,489,918,551,782,661,224,884,093,212,245,312,211,299,083,736,398,038,144,
629,473,069,989,191,875,367,665,329,071,305,031,950,746,723,902,252,055,698,
935,554,008,340,174,145,738,520,561,473,117,481,793,512,634,628,644,978,938,
989,114,523,913,885,623,453,851,860,658,679,158,175,090,047,001,065,634,026,
708,628,981,440,859,478,983,979,012,685,929,883,016,350,613,998,004,403,806,
739,291,905,506,883,940,849,723,094,451,995,372,155,522,136,156,563,214,448,
878,449,141,277,761,246,735,014,634,218,518,522,847,280,073,771,130,678,322,
721,832,444,220,338,197,063,020,578,255,567,809,517,111,104,314,914,247,755,
641,484,676,019,707,525,763,782,644,837,665,404,889,791,366,122,507,940,034,
809,715,060,659,869,211,729,470,975,848,655,534,810,519,196,532,955,006,972,
351,932,973,820,164,995,115,459,478,161,421,086,555,888,312,495,308,137,933,
314,167,677,153,799,972,663,164,533,179,978,243,951,204,148,949,970,856,737,
773,074,590,588,616,605,203,813,670,123,114,588,546,893,890,947,758,135,185,
576,378,274,870,430,067,997,213,937,590,198,925,992,955,516,776,153,312,352,
886,361,370,012,080,905,242,698,301,616,832,034,445,654,987,459,030,698,960,
034,187,174,220,598,306,957,268,094,028,922,447,978,570,376,103,212,271,601,
540,756,313,531,491,621,515,640,881,884,416,059,406,381,919,684,662,922,266,
025,534,858,819,287,889,410,169,295,385,709,966,924,013,503,718,147,639,180,
391,606,979,708,054,393,759,803,161,985,983,238,802,230,094,428,107,984,219,
712,936,000,993,770,726,608,323,866,672,571,100,916,106,195,583,421,655,070,
622,059,124,718,916,311,528,466,572,845,695,797,316,338,986,390,994,613,113,
268,065,588,679,508,982,927,615,941,632,670,848,268,123,282,896,662,710,288,
448,135,451,063,538,126,629,805,483,566,024,708,819,575,543,235,870,517,994,
947,687,963,310,798,709,725,296,518,712,046,725,497,887,243,649,643,642,250,
523,122,953,243,188,603,748,066,232,044,808,623,462,184,605,819,203,381,491,
306,038,530,774,377,286,055,437,494,250,471,202,308,482,662,498,958,027,155,
517,980,319,232,549,262,229,399,249,952,129,965,197,159,860,265,052,858,446,
849,739,244,216,672,375,105,601,058,023,620,761,845,111,361,482,828,068,093,
159,315,097,466,133,963,382,680,952,775,226,790,313,923,334,681,005,344,420,
278,647,027,664,737,091,642,848,497,648,129,740,781,318,636,009,883,918,988,
170,989,641,192,840,984,104,408,148,111,123,434,597,731,192,211,487,617,502,
685,310,085,102,838,573,809,591,522,628,455,845,238,566,778,978,635,990,735,
175,106,939,699,600,427,770,539,217,844,331,474,641,749,997,158,500,487,271,
876,584,441,625,623,292,828,314,207,724,206,176,857,644,244,958,845,603,448,
098,199,824,493,131,607,113,400,426,443,498,648,711,904,175,667,018,203,804,
454,438,492,888,889,061,925,176,911,970,620,427,258,219,138,279,838,786,298,
851,268,832,374,256,419,400,411,891,905,199,027,626,845,317,302,431,871,659,
102,718,779,589,410,077,826,241,229,067,404,130,032,373,873,961,330,497,399,
513,979,795,701,186,351,902,192,650,980,775,009,947,344,532,220,664,181,015,
446,035,851,768,574,773,212,977,520,545,836,352,666,751,198,564,150,788,891,
497,303,906,060,121,591,427,370,103,004,291,218,342,562,670,251,109,973,094,
969,550,156,522,705,856,900,643,150,634,421,822,260,605,738,906,758,906,931,
889,489,057,909,361,310,018,564,366,091,859,599,280,641,470,025,627,447,876,
248,063,745,330,054,987,332,891,463,336,810,838,827,335,154,511,733,737,344,
828,869,835,466,360,390,405,694,760,682,471,969,137,693,180,136,117,046,658,
323,125,137,528,908,983,889,186,727,706,112,402,234,589,116,835,808,774,046,
113,857,636,415,596,006,766,673,732,140,092,906,377,529,944,823,585,297,635,
582,544,046,485,401,802,226,683,412,705,635,688,040,757,754,244,554,223,470,
914,582,926,130,254,902,221,672,551,254,060,442,152,604,436,409,627,183,710,
523,917,018,214,876,260,242,769,717,560,835,989,141,074,392,100,289,540,886,
471,901,433,926,680,641,713,137,391,515,697,888,055,935,710,225,743,134,666,
375,461,289,281,812,623,129,234,465,321,616,855,937,635,051,389,182,631,549,
903,226,369,653,520,363,167,679,974,030,659,977,331,625,309,489,506,496,682,
012,257,968,049,307,682,821,975,635,866,878,320,113,260,225,832,858,562,370,
833,157,912,739,467,536,469,558,127,945,534,189,417,992,557,412,467,702,489,
460,866,609,361,879,397,647,679,264,566,948,951,725,525,359,810,308,650,041,
884,987,997,962,455,778,121,383,901,313,503,069,826,201,900,933,415,367,428,
716,297,455,108,694,489,247,202,988,405,995,422,695,926,616,114,370,035,439,
924,519,071,202,295,076,598,029,974,092,189,028,482,396,073,554,730,468,279,
946,037,425,758,196,520,351,921,356,252,896,254,446,035,815,117,081,172,031,
591,468,138,595,892,785,468,179,510,644,266,008,162,324,927,509,785,727,618,
331,836,751,317,346,214,744,839,805,437,216,547,904,217,029,724,414,057,053,
384,257,786,717,646,401,315,338,289,770,887,454,946,067,215,197,193,586,473,
498,493,319,841,961,945,816,424,920,391,149,702,744,458,287,150,796,695,334,
726,295,135,262,473,997,460,941,276,053,921,816,291,376,696,946,484,685,522,
603,599,905,302,782,569,483,551,617,851,704,669,733,704,315,826,596,586,003,
630,464,314,283,470,046,775,260,343,720,357,826,165,527,156,342,280,927,447,
103,104,223,745,817,170,597,537,378,733,651,810,226,666,994,687,009,960,510,
789,957,883,298,993,108,057,758,474,611,996,533,719,805,930,054,229,760,777,
647,258,735,754,849,410,414,673,155,441,332,947,005,058,623,554,347,871,316,
490,788,541,249,930,060,693,029,743,943,129,058,318,256,298,020,547,382,083,
786,069,301,605,396,310,569,057,061,409,152,661,330,455,286,991,016,613,020,
102,976,773,835,667,734,391,181,413,805,880,156,919,926,556,228,250,038,351,
350,709,673,842,275,017,312,692,989,415,532,152,000,662,756,229,365,719,228,
745,975,488,329,209,234,175,906,041,041,991,118,394,358,016,048,948,571,308,
725,088,259,641,046,172,504,471,092,334,506,478,437,052,928,938,288,226,400,
506,776,114,998,291,810,039,397,755,754,279,935,779,360,535,678,588,984,414,
717,782,217,940,954,079,125,437,679,407,517,445,739,040,354,435,695,206,654,
069,797,991,780,401,079,695,876,218,360,028,080,119,227,331,491,071,753,262,
211,414,415,097,545,358,731,828,711,951,899,169,115,114,686,782,380,463,375,
258,423,979,851,228,062,412,513,416,344,527,006,478,944,069,947,338,963,554,
464,622,418,378,336,980,656,230,223,212,442,641,960,092,356,803,719,980,924,
990,867,524,134,758,789,634,022,787,706,908,331,493,991,902,955,855,564,344,
378,993,553,785,908,131,415,064,988,687,841,988,706,360,712,272,687,934,787,
138,470,133,366,332,540,702,637,741,615,604,840,363,453,382,301,401,336,653,
977,948,046,842,282,956,394,232,899,417,174,614,472,434,335,091,462,721,125,
084,515,173,131,207,250,445,166,595,739,853,721,133,088,551,466,888,652,380,
236,289,380,444,369,337,768,030,916,577,055,833,146,750,429,569,504,785,600,
203,895,268,834,655,731,752,467,107,104,527,519,290,935,899,957,539,703,505,
170,669,546,183,906,568,644,276,428,959,054,321,104,707,232,106,967,403,594,
693,618,702,488,225,994,621,004,043,773,741,795,300,918,928,876,199,399,452,
395,026,657,195,620,830,479,636,457,169,506,541,644,110,620,820,178,524,323,
851,097,214,084,027,076,388,709,121,503,588,769,280,148,047,398,645,165,835,
421,294,147,025,534,928,656,992,183,606,311,528,060,101,814,681,424,498,793,
081,353,687,837,954,208,431,621,467,169,282,460,764,847,938,316,410,440,873,
974,855,202,541,468,511,232,849,929,179,899,187,071,838,988,467,869,391,677,
449,431,071,741,715,208,498,127,901,572,044,097,183,340,967,064,716,777,487,
416,466,470,905,294,691,597,760,004,222,648,804,700,708,010,099,599,369,168,
940,150,199,613,302,326,601,779,011,143,446,152,056,453,345,018,956,162,677,
879,307,773,408,800,221,093,864,914,651,010,726,358,623,735,774,499,211,767,
054,314,675,163,477,018,245,979,467,741,881,250,978,420,946,044,472,820,707,
645,900,639,514,429,887,109,941,081,244,117,834,862,103,824,562,959,333,498,
468,949,343,748,220,112,120,985,908,551,479,955,346,714,317,220,487,100,183,
419,684,508,342,173,626,547,908,592,979,161,505,689,946,908,742,423,587,038,
579,495,832,488,090,267,483,604,339,972,236,463,324,929,148,186,949,909,536,
409,264,615,585,759,852,442,384,288,127,171,585,083,894,297,170,809,666,278,
630,313,990,521,643,385,782,841,555,115,923,199,580,968,767,239,682,596,083,
059,385,958,230,231,290,486,977,777,657,578,523,008,765,578,167,877,838,742,
205,173,017,366,255,212,756,372,603,472,909,701,418,284,695,025,493,497,445,
314,944,058,967,339,006,272,296,335,350,272,423,518,289,419,826,128,688,683,
272,943,153,856,430,628,837,505,040,351,224,960,265,621,298,223,853,109,183,
672,085,697,024,801,198,485,496,371,565,630,302,523,928,734,172,028,281,182,
200,717,875,276,264,055,952,862,300,337,046,615,491,370,027,248,176,102,200,
893,392,353,811,954,007,246,495,184,913,023,673,358,714,337,909,518,574,308,
878,267,730,288,807,244,719,772,678,895,129,173,169,801,444,691,617,322,074,
503,961,181,076,328,324,257,516,649,150,005,442,254,831,288,163,708,543,592,
358,541,393,170,604,683,952,558,826,827,673,379,688,198,705,871,593,248,343,
157,862,146,614,305,292,200,650,651,636,429,091,494,308,260,874,891,958,788,
082,457,862,119,267,312,161,583,812,570,718,954,200,296,836,316,665,511,733,
712,873,052,284,343,522,420,987,863,868,603,734,110,044,510,064,699,490,010,
169,022,605,792,200,128,989,723,648,983,260,638,628,594,338,683,548,733,949,
942,602,169,627,583,233,404,717,231,030,416,302,922,322,201,979,517,040,804,
490,804,659,963,875,036,367,466,191,646,188,555,779,833,469,024,679,911,475,
017,093,521,914,163,848,057,727,400,279,384,071,325,350,690,588,352,917,699,
134,325,569,239,493,074,618,844,292,899,201,838,583,162,087,889,086,792,863,
316,621,158,454,999,325,818,879,113,234,642,668,534,785,287,711,638,648,320,
269,545,537,632,124,951,794,589,871,017,286,025,163,262,282,167,055,727,547,
194,159,648,383,227,376,436,038,229,738,365,636,046,329,528,973,860,594,982,
551,626,037,490,566,226,560,877,893,638,245,162,190,412,873,527,271,034,519,
808,488,471,632,572,981,262,690,417,245,577,196,272,690,275,230,753,563,641,
858,801,184,574,855,119,895,983,385,254,410,096,981,789,034,931,769,616,578,
128,432,517,160,712,874,882,892,414,851,633,669,753,792,260,214,956,727,627,
746,006,464,855,033,725,224,357,510,166,658,646,514,727,844,931,789,347,725,
545,769,897,211,852,909,834,909,371,011,451,869,592,446,273,176,503,982,151,
277,015,039,180,757,891,300,300,807,542,417,357,543,266,675,392,116,555,345,
441,010,157,836,238,848,310,185,870,358,626,870,379,770,776,114,506,170,270,
262,998,528,666,190,833,303,174,500,187,925,899,066,550,641,808,740,778,834,
641,881,656,749,621,108,695,252,613,306,124,043,235,719,752,709,581,075,167,
580,819,401,493,397,801,062,943,021,884,851,268,867,280,370,133,405,087,429,
273,162,614,562,838,793,409,442,937,807,968,099,578,138,513,967,034,316,928,
531,304,177,107,138,031,309,026,097,923,123,793,143,762,746,502,154,449,307,
156,893,622,783,179,426,322,398,190,759,369,885,036,518,018,866,693,647,424,
646,995,874,464,398,131,613,277,959,889,957,707,446,006,188,385,673,600,644,
847,117,362,216,964,839,998,267,654,551,228,880,077,105,978,388,048,179,193,
490,474,979,540,645,503,842,823,018,104,577,188,263,575,810,685,985,493,907,
045,464,001,614,114,354,515,691,834,143,950,780,418,425,398,849,217,606,292,
358,196,704,468,325,836,760,896,336,879,727,468,875,863,376,828,123,555,813,
654,887,190,615,104,775,732,399,440,586,765,917,786,829,399,329,857,225,402,
375,334,887,496,418,407,226,838,231,738,786,102,437,209,600,474,073,694,902,
831,520,610,541,098,783,421,182,491,767,945,136,641,150,759,263,609,383,415,
892,133,606,412,158,411,753,825,911,845,910,112,417,557,614,490,735,466,000,
163,431,446,517,823,903,493,781,684,474,641,444,396,990,161,167,359,730,384,
710,972,112,125,792,890,921,444,964,944,412,627,374,155,080,859,708,530,205,
335,631,570,499,820,364,494,027,283,809,550,351,650,772,704,469,067,552,362,
035,978,570,205,957,568,519,856,189,059,059,250,536,677,666,159,373,570,456,
037,094,597,003,121,682,854,616,606,094,702,427,425,497,015,049,570,893,639,
119,916,103,752,730,867,214,675,892,769,847,554,713,214,766,374,397,353,848,
885,602,643,860,262,201,442,665,411,607,539,163,220,728,723,334,823,511,727,
416,346,079,029,790,720,908,536,085,390,603,706,837,328,507,302,928,166,287,
965,241,239,064,656,427,452,880,084,099,039,429,473,720,015,097,018,986,750,
040,562,469,171,691,571,980,629,301,586,864,352,988,320,797,626,496,566,050,
246,711,282,570,137,871,848,208,458,049,370,776,828,591,229,797,704,679,928,
983,702,671,041,949,860,284,138,519,269,910,874,165,300,073,352,383,347,375,
980,398,752,430,413,037,398,090,707,716,164,818,487,608,318,582,143,554,274,
865,498,313,954,230,905,669,847,884,742,958,686,660,400,956,135,923,414,249,
797,035,016,132,386,163,250,869,959,447,243,665,484,124,934,903,129,063,352,
709,330,329,470,123,094,906,730,987,629,622,535,535,490,098,542,093,841,981,
739,191,910,758,198,380,789,666,418,625,655,745,698,443,704,385,586,547,075,
866,695,788,094,777,753,121,218,641,923,751,053,889,711,043,876,595,024,476,
095,151,485,685,220,808,458,152,949,017,765,188,897,263,488,496,144,652,324,
712,041,360,368,576,705,775,544,562,414,459,880,579,093,561,415,519,376,405,
983,612,714,133,139,104,307,653,178,325,336,733,933,150,944,396,550,627,034,
274,509,541,304,230,974,520,029,987,637,062,753,518,333,161,525,298,337,197,
291,481,515,281,167,736,657,637,213,646,448,830,084,110,157,569,319,855,738,
923,205,097,113,184,594,704,784,062,475,627,704,630,756,106,086,551,456,278,
581,356,530,535,979,428,682,020,914,739,676,441,103,538,812,895,154,825,732,
498,588,683,313,662,724,787,695,422,126,341,336,300,797,894,626,660,280,626,
598,607,521,523,946,313,311,214,960,665,563,943,655,902,191,073,307,241,405,
596,343,621,870,035,648,608,701,003,015,258,604,919,527,325,373,334,997,033,
420,577,569,652,350,256,186,737,555,670,507,689,536,183,270,265,694,167,494,
569,584,954,830,138,674,416,871,016,058,818,018,586,336,714,696,631,607,181,
249,565,126,898,339,916,515,385,697,325,586,352,270,436,474,874,714,990,655,
506,773,839,688,784,109,701,858,257,328,562,861,693,704,270,359,523,022,355,
655,141,114,302,017,263,566,792,869,438,550,673,121,047,225,750,160,855,278,
890,964,436,013,449,184,557,628,258,844,100,686,570,191,995,080,513,597,241,
820,044,522,798,489,095,157,792,507,193,440,599,679,708,287,579,108,737,685,
992,766,283,188,365,208,502,743,721,469,638,642,953,871,568,271,932,458,015,
134,883,647,910,151,623,295,450,819,884,855,152,938,855,151,770,255,729,318,
831,895,690,839,584,411,802,029,462,323,282,126,845,601,668,173,847,292,169,
931,128,217,610,022,677,786,622,491,838,155,921,631,714,827,758,377,711,005,
533,047,536,856,956,007,903,400,496,857,995,321,589,067,989,110,438,945,121,
661,120,930,520,644,026,758,469,866,078,030,839,065,002,739,115,890,101,987,
592,929,062,262,126,546,497,527,372,772,656,114,900,617,821,168,061,014,345,
995,518,043,473,743,063,651,265,440,533,979,522,597,101,221,191,164,836,265,
505,363,176,591,718,757,308,671,419,979,066,585,335,562,211,308,508,312,262,
498,768,194,457,724,919,738,995,434,833,598,649,543,808,085,245,734,301,700,
050,720,511,845,004,399,323,645,195,245,187,034,097,880,895,732,616,233,749,
932,510,124,831,062,055,615,402,866,494,150,038,243,602,283,984,151,391,927,
846,541,113,338,784,058,554,929,970,181,692,131,365,544,369,101,281,556,164,
960,749,332,380,960,998,872,431,077,285,431,208,243,439,298,206,662,996,875,
522,216,871,415,692,229,863,098,279,071,370,370,859,589,201,259,234,486,824,
484,023,339,432,181,524,462,488,290,178,297,546,667,720,031,143,560,495,381,
031,801,362,546,664,557,744,009,468,024,262,844,838,823,442,132,397,397,784,
941,089,712,173,815,186,332,904,144,099,510,738,161,902,600,952,840,668,489,
939,512,956,254,412,165,735,339,349,217,167,044,213,762,184,929,653,432,399,
908,194,791,357,511,433,070,091,289,349,005,214,259,525,911,563,370,846,159,
875,765,093,048,432,339,002,850,325,280,443,637,197,601,770,179,140,170,339,
407,732,294,740,215,459,873,802,035,178,764,815,617,865,138,477,425,714,118,
024,720,899,331,180,108,280,604,068,084,176,812,668,490,829,679,036,867,810,
681,420,683,477,653,986,225,893,407,398,607,725,255,677,159,405,713,391,393,
376,139,184,622,632,088,227,599,362,555,808,944,584,708,716,560,987,910,028,
842,708,745,760,781,685,750,828,831,298,494,940,122,051,681,190,284,352,815,
644,606,914,978,183,274,098,225,446,476,486,558,159,306,270,291,216,729,271,
818,607,890,699,587,354,494,683,647,011,721,302,873,143,299,426,087,700,414,
147,313,023,382,488,691,755,643,811,983,799,694,199,612,362,901,477,049,010,
564,089,901,037,808,239,898,084,156,556,629,034,383,033,451,311,660,820,411,
389,004,942,404,436,405,172,198,709,810,342,418,668,567,099,919,067,243,295,
687,061,720,937,168,441,149,339,042,398,865,517,760,529,003,973,554,104,166,
412,850,039,092,064,982,228,430,354,331,217,445,272,324,808,610,284,612,950,
150,744,693,753,965,928,337,629,044,674,530,877,383,843,796,774,415,492,505,
296,232,580,451,482,400,320,526,443,854,570,255,252,257,392,807,724,412,019,
501,925,418,134,418,022,474,759,618,670,478,191,314,861,049,643,368,205,274,
598,392,230,729,983,579,743,866,269,901,375,125,184,569,905,849,600,290,268,
016,832,215,136,389,940,639,832,652,152,272,674,418,525,025,340,045,176,491,
828,600,845,084,479,004,693,699,554,739,048,365,225,904,181,380,914,985,058,
021,039,552,129,547,690,196,769,925,194,626,804,286,490,878,610,153,942,176,
169,202,752,575,993,902,034,367,024,159,944,497,843,944,703,284,909,842,636,
814,207,965,883,677,623,407,621,819,277,831,511,770,955,140,737,559,348,591,
012,954,591,445,746,067,716,662,563,082,911,953,757,228,468,822,570,978,407,
740,941,377,162,427,635,457,476,373,893,228,627,616,160,755,370,438,403,650,
180,993,601,136,851,243,546,179,849,504,268,217,743,157,823,296,211,898,710,
134,375,551,120,759,931,424,267,844,472,733,229,179,616,300,175,050,963,818,
415,606,914,946,802,469,123,440,054,354,497,230,852,496,002,493,497,918,960,
767,139,135,927,190,273,773,189,017,021,933,577,591,253,503,626,329,461,588,
593,132,907,493,275,853,387,774,419,572,075,579,371,710,938,720,073,901,439,
038,428,710,922,973,126,726,493,447,811,165,668,323,497,386,083,129,182,974,
314,128,399,167,741,946,321,424,082,972,221,242,919,694,306,734,357,060,492,
164,307,003,173,024,927,702,700,026,532,446,838,920,931,864,434,974,337,135,
825,899,889,867,471,719,075,162,055,392,132,487,310,083,439,075,158,106,581,
256,673,788,368,856,699,602,647,646,458,944,098,785,935,833,074,405,593,022,
960,573,179,929,238,905,580,338,585,398,714,159,296,558,464,598,310,195,393,
561,530,447,800,516,093,027,944,535,879,394,843,693,342,878,865,308,301,787,
130,639,547,267,672,511,521,610,483,399,314,394,185,280,195,329,913,981,470,
897,567,778,659,798,786,271,203,903,236,332,096,716,705,187,734,031,442,216,
742,662,978,811,144,127,762,080,796,917,074,218,961,059,629,410,174,961,298,
472,011,707,299,989,527,407,284,326,320,447,045,686,875,920,792,954,902,091,
033,010,479,111,850,426,390,693,381,864,178,044,001,284,398,410,656,914,540,
081,543,992,014,389,350,782,766,319,098,371,557,604,073,179,307,097,727,624,
768,661,468,516,706,460,433,418,512,373,950,616,842,189,822,277,497,192,150,
707,613,129,357,946,823,855,569,622,672,300,106,541,649,802,538,987,867,802,
631,684,039,936,033,567,968,136,487,392,624,278,321,546,113,037,127,634,649,
938,357,609,940,304,861,147,782,901,397,053,581,441,373,187,069,218,514,827,
735,890,034,690,261,581,512,631,692,389,052,779,345,249,778,122,602,863,987,
339,223,108,289,692,147,294,898,205,700,405,646,067,753,758,595,366,328,353,
269,491,371,155,080,676,308,275,862,050,238,660,705,085,843,946,819,087,675,
718,503,597,903,366,172,297,108,864,278,531,856,587,220,494,381,657,558,512,
145,619,779,913,003,011,059,089,180,327,391,313,001,902,320,830,655,395,611,
593,548,924,394,835,367,043,161,628,698,359,995,151,469,116,781,750,348,631,
132,008,018,118,526,670,293,794,303,601,950,185,897,262,708,383,300,171,694,
539,453,057,551,896,278,332,626,298,406,298,643,099,447,577,890,841,599,753,
106,102,458,348,157,962,238,411,257,595,700,352,499,363,919,777,897,116,012,
518,793,995,500,817,840,370,379,859,031,008,429,917,465,520,947,044,298,194,
397,782,364,496,523,931,175,607,588,278,268,017,071,448,948,726,496,350,399,
944,033,957,885,672,325,810,736,590,458,722,571,348,744,405,197,453,803,647,
765,118,949,669,264,793,590,291,328,151,718,679,672,233,990,619,278,709,536,
719,272,317,569,679,248,979,996,412,481,044,360,852,419,009,378,106,763,861,
322,559,586,954,987,355,261,933,901,982,616,132,914,408,242,943,162,445,204,
571,537,329,373,605,981,328,116,856,955,887,266,464,507,252,015,290,846,716,
085,354,407,146,058,512,911,295,422,595,348,430,964,213,474,285,777,482,165,
009,240,059,699,118,532,993,961,231,971,149,295,807,580,418,493,035,673,358,
640,347,100,636,888,419,393,134,435,192,893,169,979,767,803,370,057,185,302,
347,961,825,021,847,318,969,063,578,347,578,747,337,319,953,287,671,666,895,
158,354,483,038,302,101,826,914,035,281,715,975,177,403,002,635,909,386,931,
378,893,970,661,672,693,924,639,962,052,761,378,788,063,238,962,011,790,795,
236,644,712,022,199,455,003,407,664,063,166,849,253,421,549,977,573,333,224,
816,248,121,609,970,994,469,621,304,055,232,226,059,814,033,679,234,513,158,
477,914,243,560,174,179,883,609,487,898,918,802,232,483,666,698,120,211,131,
705,425,059,931,996,100,722,818,638,055,944,510,229,835,816,333,883,587,224,
095,668,416,769,812,316,920,643,045,438,294,020,955,282,999,605,747,897,081,
856,452,366,752,660,719,279,030,219,112,687,987,997,006,754,386,371,222,419,
646,436,833,888,144,900,770,699,249,593,483,141,483,192,602,620,562,512,892,
793,515,969,219,926,624,015,805,742,945,613,535,412,321,537,722,674,214,901,
443,332,976,373,461,424,644,920,226,104,515,003,309,783,363,675,846,758,452,
873,145,242,352,159,146,264,896,448,580,864,818,816,677,952,485,455,773,196,
072,147,971,055,555,349,153,639,570,156,646,970,951,777,177,501,675,488,299,
075,265,493,672,274,078,772,106,261,597,127,267,539,258,136,293,732,199,934,
604,827,604,681,176,602,637,113,502,051,853,402,142,905,032,407,617,857,715,
669,381,878,377,613,925,595,644,827,532,969,252,648,527,012,646,295,594,711,
012,903,784,690,530,918,282,439,545,535,130,688,697,976,466,155,721,522,733,
849,856,760,467,171,212,753,227,462,067,311,735,914,590,039,882,399,898,587,
100,382,341,158,227,106,105,081,456,840,126,175,982,666,407,173,253,022,528,
311,218,821,171,539,691,407,376,644,448,557,055,494,496,947,178,957,729,371,
498,563,904,353,924,045,688,455,486,706,475,922,964,417,352,850,321,553,068,
268,688,014,031,265,406,949,256,725,117,416,276,257,817,815,466,556,294,393,
899,672,262,889,287,532,914,643,329,322,100,014,115,840,627,002,839,548,441,
802,801,223,104,603,407,781,539,273,278,803,754,469,153,071,269,174,602,710,
700,570,332,347,581,050,630,036,151,281,813,052,346,365,863,790,015,897,299,
533,165,654,035,949,385,122,889,408,150,264,626,522,260,561,005,190,698,793,
596,255,453,452,687,838,511,236,785,767,482,850,077,656,822,514,740,563,130,
978,379,216,337,745,869,043,921,328,612,090,392,432,329,302,133,794,296,046,
257,827,214,665,779,138,293,219,116,378,423,583,746,610,361,785,630,882,123,
917,374,050,617,284,326,896,704,962,307,509,792,201,659,416,331,056,203,976,
009,901,097,165,932,745,910,245,647,872,673,116,490,001,283,723,118,451,356,
999,446,701,863,196,047,659,928,476,278,347,704,556,122,506,151,663,744,395,
481,408,996,993,600,616,198,287,683,845,438,633,571,814,033,273,071,984,127,
356,153,417,463,100,770,551,490,419,756,779,022,428,593,942,851,060,445,781,
005,109,812,903,968,606,685,758,882,370,127,946,117,015,660,043,814,247,178,
719,571,553,194,567,638,434,965,675,175,375,149,119,378,758,391,391,439,695,
037,173,218,360,335,691,008,324,283,266,234,611,647,995,723,783,032,306,725,
415,047,770,503,300,417,580,288,125,280,054,734,352,504,605,204,001,330,860,
122,738,534,140,757,612,631,266,710,732,667,266,992,571,681,851,159,573,133,
296,692,941,521,907,610,809,893,398,818,100,085,280,513,569,362,759,770,941,
453,757,622,875,179,318,346,209,961,693,530,749,206,730,481,908,032,659,448,
296,183,109,989,347,729,928,442,401,112,211,107,405,937,315,687,505,027,646,
414,425,758,587,338,347,633,183,814,644,186,146,022,064,327,994,852,092,056,
000,894,167,291,272,568,974,410,942,918,388,753,024,990,279,484,248,822,568,
413,665,036,872,222,327,045,278,642,778,489,291,711,411,264,995,994,981,277,
912,036,235,589,502,787,236,068,026,355,359,936,487,435,903,750,243,227,883,
580,026,761,153,652,214,398,056,232,615,704,483,524,411,805,275,891,114,767,
642,373,568,664,876,282,538,894,600,211,656,258,155,863,125,282,068,415,376,
522,114,935,772,044,407,267,563,962,117,088,850,350,941,358,425,940,027,020,
403,253,607,210,319,003,504,717,197,452,088,062,704,165,325,446,371,356,161,
384,425,330,442,823,260,076,121,664,936,775,474,735,096,713,725,914,096,793,
736,356,318,621,199,075,449,856,672,750,563,766,541,348,374,657,029,137,747,
228,958,698,773,624,809,811,005,415,661,424,431,366,750,042,727,857,995,130,
083,397,848,220,355,316,827,258,738,349,951,290,046,072,765,946,350,128,271,
441,285,886,202,809,347,689,301,171,260,715,285,367,015,500,131,415,455,498,
666,611,139,316,257,564,924,890,344,560,184,354,106,067,361,248,812,843,361,
850,168,961,971,712,604,297,395,858,040,609,602,118,496,117,571,569,193,892,
141,840,301,251,114,475,654,243,126,670,261,335,526,857,785,562,683,400,884,
730,949,401,490,604,057,100,133,038,297,655,024,251,299,858,403,657,115,045,
438,789,759,649,986,982,492,368,126,235,864,125,672,525,913,378,288,169,442,
015,873,074,196,141,846,494,252,604,656,060,764,781,042,914,271,664,746,512,
423,438,125,841,190,753,657,507,283,585,780,273,337,843,319,329,364,525,414,
262,749,307,661,412,684,412,787,856,576,935,892,718,942,617,639,721,454,138,
908,741,873,584,522,118,828,262,060,547,695,915,318,887,519,794,799,712,166,
736,195,535,346,496,597,606,498,014,456,200,767,185,928,707,406,943,500,991,
218,435,208,647,430,679,805,863,475,139,515,671,179,312,814,043,171,388,977,
188,392,731,461,553,610,636,241,593,545,666,925,905,691,222,986,683,902,525,
862,036,209,722,659,886,609,442,683,612,355,095,931,378,510,474,990,923,871,
922,370,896,120,094,717,458,477,628,235,270,956,550,883,370,118,983,621,334,
523,610,274,694,055,431,136,765,254,717,797,017,040,446,113,806,468,000,472,
622,311,416,634,581,953,917,763,296,761,571,219,512,509,039,321,763,511,410,
241,753,021,173,329,127,480,786,614,195,371,378,004,861,782,307,481,163,226,
367,138,016,773,643,621,566,472,226,223,513,672,172,791,771,513,769,727,344,
833,395,019,468,914,148,954,223,657,258,863,372,677,743,200,617,155,299,393,
518,872,655,622,436,070,626,487,389,521,605,378,601,237,777,744,810,584,158,
201,430,120,208,474,747,149,118,886,682,773,150,198,365,306,820,157,952,753,
178,073,658,363,735,412,724,163,066,777,659,423,943,587,889,598,701,038,193,
274,205,614,477,601,576,160,447,771,279,625,409,574,112,343,179,794,930,640,
462,468,591,083,322,956,292,076,190,761,969,109,186,170,295,621,199,698,099,
296,097,006,452,378,433,711,550,668,029,993,002,233,788,638,422,933,110,683,
597,980,670,180,223,920,452,330,483,442,738,184,582,374,420,527,454,160,921,
719,996,156,476,313,180,765,991,179,384,647,841,995,749,894,451,171,749,083,
307,687,941,449,357,590,649,030,454,751,749,836,693,051,781,067,055,736,952,
320,951,224,468,268,512,725,122,717,515,042,167,775,021,676,180,729,075,247,
695,311,245,698,998,805,581,017,622,435,346,567,935,160,342,928,848,675,469,
199,167,614,109,361,983,652,659,736,231,778,465,610,838,044,079,688,286,405,
262,682,113,316,361,806,972,664,678,491,632,990,983,326,141,986,721,858,744,
429,596,920,798,778,733,384,080,012,353,320,816,789,700,127,012,281,840,252,
558,534,506,941,070,891,519,490,313,490,069,436,007,838,134,942,025,640,916,
410,591,995,964,919,856,159,983,630,657,978,038,141,943,343,428,496,289,919,
326,352,957,490,662,279,437,716,216,669,556,740,524,332,405,541,188,456,920,
354,023,200,748,681,669,162,162,403,918,650,277,922,678,465,471,776,066,098,
468,068,735,856,649,554,479,309,900,262,799,339,783,148,556,831,265,218,163,
525,562,536,861,236,883,814,538,934,475,381,409,980,669,970,043,793,999,093,
094,980,731,263,862,024,377,286,129,955,268,759,365,295,041,126,654,014,901,
255,731,276,264,871,441,732,917,937,822,328,765,983,525,007,886,438,459,733,
729,388,177,607,691,718,796,187,906,693,948,215,663,915,245,983,684,167,663,
940,740,267,743,969,870,087,303,069,672,634,197,858,578,682,992,785,670,227,
255,191,312,498,740,704,144,921,622,942,919,428,712,616,750,880,930,080,401,
165,610,378,748,294,381,594,294,908,147,534,209,719,332,329,453,215,723,238,
336,660,879,836,830,594,157,698,394,979,866,862,455,348,323,598,248,585,588,
606,097,925,097,979,309,311,844,667,396,136,757,199,677,253,728,050,558,188,
857,210,290,088,765,504,083,100,062,018,943,938,759,955,182,981,223,457,178,
813,806,748,519,105,660,264,493,220,895,514,782,088,967,573,210,768,243,418,
401,549,345,903,443,955,396,825,378,576,778,119,606,168,114,491,938,300,764,
965,819,573,931,560,692,775,103,014,106,003,476,335,916,901,983,955,282,933,
275,814,936,350,397,764,752,943,098,569,998,559,310,765,109,435,288,521,284,
385,844,443,448,407,309,227,438,585,653,716,003,261,859,181,109,239,598,589,
442,306,769,214,749,722,689,040,561,196,167,224,944,620,452,829,573,965,508,
736,242,322,436,070,950,691,276,302,894,127,981,881,948,599,065,990,680,936,
420,317,016,724,445,782,575,627,471,781,890,592,181,362,651,987,938,428,475,
385,232,848,314,965,241,070,795,461,400,247,493,840,880,786,041,840,140,576,
207,498,865,866,036,381,192,576,533,510,639,790,880,238,353,854,425,879,791,
984,916,417,585,956,366,835,540,837,115,022,894,105,841,730,380,163,882,829,
184,855,660,679,193,350,395,605,288,056,765,646,780,784,269,454,515,193,164,
112,358,003,378,151,287,236,224,119,932,198,833,011,952,885,271,509,409,848,
046,691,483,352,704,177,913,039,113,638,140,258,756,879,144,597,010,412,323,
248,866,187,961,336,835,624,689,495,113,902,796,952,489,108,269,557,582,419,
254,271,106,392,360,025,558,369,288,121,802,718,920,897,440,992,771,046,825,
325,685,761,803,635,220,673,739,006,768,491,401,780,524,506,552,564,092,597,
176,198,269,402,274,682,918,423,540,049,339,376,998,497,357,588,957,297,013,
892,809,421,906,456,844,319,318,327,585,313,456,782,056,168,901,507,968,403,
423,899,490,538,710,758,261,528,455,104,948,906,413,960,218,818,580,523,742,
944,444,736,014,684,592,339,513,003,077,075,666,193,755,988,126,292,260,827,
933,657,267,385,030,364,753,089,671,289,107,285,786,609,557,710,914,811,057,
011,160,317,243,945,733,690,804,844,792,594,408,901,327,949,265,913,137,644,
898,133,727,234,116,538,959,778,197,890,639,290,408,896,507,444,287,504,674,
065,716,005,311,103,148,361,120,341,785,575,126,499,108,982,602,852,787,790,
686,678,416,813,767,408,374,300,284,256,912,941,997,615,200,884,601,244,355,
024,471,341,671,972,039,781,010,652,134,684,648,086,837,601,055,556,897,800,
540,357,001,151,323,588,771,328,755,432,140,622,174,532,700,890,538,606,490,
136,124,912,662,805,412,650,180,408,143,353,206,368,950,306,865,712,946,866,
970,633,756,619,935,501,898,407,552,647,303,035,715,386,927,129,896,746,074,
536,338,644,629,420,032,211,755,079,941,670,071,374,304,991,868,523,642,540,
793,552,960,321,159,542,129,345,461,068,780,994,572,026,903,505,617,083,381,
068,828,253,248,639,218,344,480,321,846,819,017,292,797,876,174,310,133,324,
972,981,343,080,852,555,804,253,220,740,354,179,488,996,433,922,315,305,372,
901,211,888,677,770,267,583,915,168,011,904,427,142,798,322,064,706,161,808,
619,437,400,446,452,252,091,399,633,010,745,226,662,194,807,607,194,213,376,
463,565,487,573,190,625,671,877,689,464,407,053,333,966,497,062,491,841,770,
784,929,718,312,446,164,947,369,407,975,903,275,836,516,852,449,369,673,000,
325,863,149,235,987,460,174,828,761,005,989,945,437,090,109,817,876,505,172,
074,650,372,858,384,226,713,809,505,127,585,039,880,535,853,027,614,810,707,
530,414,260,799,895,739,723,093,567,997,389,195,558,080,884,644,106,959,539,
766,590,864,422,163,841,816,145,151,819,417,862,565,534,671,357,958,074,476,
064,164,296,020,183,483,206,917,170,673,843,416,844,917,730,819,059,632,304,
313,610,445,859,221,455,689,514,425,225,198,589,016,965,702,429,545,952,052,
830,897,355,967,003,062,690,642,185,095,865,422,847,802,796,458,205,348,356,
664,948,177,290,700,528,300,850,786,395,187,705,437,668,711,579,604,242,811,
520,932,663,819,781,929,703,252,773,609,834,866,947,029,122,858,768,474,531,
859,669,098,301,990,751,291,519,705,354,477,016,757,019,930,522,880,039,951,
101,584,650,936,103,426,201,526,255,818,614,616,844,166,343,818,497,421,161,
560,150,325,104,885,044,120,342,210,584,348,418,065,947,030,249,458,642,629,
669,022,475,955,556,364,720,203,669,499,467,917,567,255,456,601,952,411,368,
668,137,133,901,915,899,947,741,058,143,665,835,976,366,642,539,951,312,220,
675,515,147,154,093,987,721,390,085,667,723,063,832,444,809,076,694,533,376,
823,445,214,265,093,337,219,562,688,521,196,623,802,734,992,866,010,328,751,
789,317,416,545,552,454,405,397,945,398,565,075,191,969,575,335,852,277,922,
746,058,891,236,315,621,957,572,066,234,053,466,663,082,205,470,241,914,117,
215,576,142,457,577,890,930,733,924,021,523,818,308,474,792,049,359,182,066,
354,624,040,074,136,793,610,576,808,771,389,440,799,673,488,476,821,192,266,
929,134,290,419,707,199,239,783,942,898,160,614,840,841,730,099,026,959,846,
735,629,378,929,669,178,145,162,968,714,925,095,311,967,529,364,883,966,249,
608,953,198,897,455,915,724,253,060,329,554,876,225,319,290,537,014,575,728,
762,557,574,741,012,599,831,349,359,715,016,129,963,114,124,163,354,331,600,
341,074,867,441,784,120,788,264,835,289,567,768,325,716,754,634,350,410,976,
417,111,870,183,914,631,860,248,335,151,056,010,508,875,194,925,157,508,735,
188,622,296,917,549,809,483,337,479,284,496,807,281,592,887,466,384,005,027,
226,446,765,142,526,002,034,710,166,130,525,272,313,253,656,469,960,021,073,
611,484,110,243,721,784,477,302,456,798,489,330,437,368,717,551,626,584,871,
880,876,236,775,739,173,718,359,007,878,588,950,923,531,345,381,271,878,022,
126,735,065,785,362,013,399,997,503,118,138,473,257,515,294,453,467,562,512,
089,851,553,161,269,967,365,587,203,954,872,639,129,582,374,293,797,736,783,
016,977,422,161,256,641,925,524,424,888,968,197,634,268,143,387,358,103,078,
108,512,977,472,081,343,282,321,477,739,327,464,336,482,742,720,828,873,557,
523,726,139,953,554,929,047,283,488,786,415,746,420,112,857,483,717,534,509,
113,818,250,144,100,010,338,360,409,812,770,188,617,796,047,258,274,322,556,
266,712,651,471,244,729,513,120,194,621,836,946,175,806,982,322,136,730,749,
253,217,798,081,627,121,063,649,758,975,551,050,745,728,840,972,748,429,934,
439,957,003,944,319,817,917,807,832,529,477,102,632,092,113,292,862,791,049,
648,624,429,135,538,770,122,179,878,786,025,284,913,969,770,352,181,094,945,
548,679,288,318,392,433,916,759,770,905,870,576,209,008,692,175,349,700,817,
222,919,833,625,386,573,611,913,004,403,866,479,928,030,901,518,308,152,570,
774,196,180,847,957,251,442,716,693,735,279,421,867,179,855,367,031,848,815,
122,082,290,071,024,826,066,904,590,099,416,596,331,161,130,539,046,760,408,
746,669,752,300,135,223,358,004,551,779,963,448,154,417,920,744,815,868,664,
560,356,468,609,802,161,188,209,638,892,699,682,603,541,021,917,764,254,565,
924,401,321,296,294,274,508,546,700,704,764,566,417,758,723,049,092,025,087,
990,586,471,299,075,507,477,047,115,420,764,150,947,488,596,924,062,925,449,
636,646,861,391,763,886,607,854,044,576,692,164,247,771,723,747,904,827,310,
179,498,420,074,125,350,273,107,721,665,607,046,687,886,662,949,201,864,753,
325,230,535,607,952,176,019,398,317,270,429,045,898,087,967,405,438,842,391,
392,925,405,890,413,003,729,018,087,799,540,500,485,965,574,858,295,262,615,
697,674,065,209,035,278,643,111,115,288,236,015,025,500,099,053,698,780,559,
544,596,004,124,267,351,759,214,954,620,511,871,166,216,022,216,226,021,988,
123,056,170,478,766,239,452,671,387,679,257,936,941,192,517,306,987,794,525,
581,025,344,437,433,927,947,002,795,779,972,200,891,441,826,964,491,423,207,
025,175,709,908,505,904,645,712,801,377,733,055,611,555,603,401,447,115,843,
124,602,806,279,875,496,114,935,535,994,869,395,211,866,485,732,348,777,236,
693,572,851,682,560,262,273,300,933,651,584,567,487,016,982,602,151,118,188,
833,187,279,386,280,664,477,905,048,671,373,802,545,025,623,295,574,692,154,
240,400,493,246,528,380,742,890,716,155,410,793,280,341,921,676,266,540,626,
164,904,266,947,387,060,223,500,160,696,203,573,711,467,150,176,852,970,114,
228,449,218,424,091,784,344,741,750,525,301,266,978,947,364,417,507,073,579,
975,811,320,669,338,802,030,306,855,161,171,873,204,154,028,205,743,881,626,
590,134,605,417,434,410,571,973,192,980,063,565,801,840,325,585,771,010,471,
508,426,742,389,816,545,919,435,896,621,410,818,035,126,962,721,422,829,583,
758,014,178,851,528,617,256,126,289,472,730,812,681,098,903,882,167,272,960,
825,447,632,543,263,096,248,435,191,651,250,523,862,630,413,859,119,507,632,
827,364,496,283,781,893,453,292,690,314,591,316,274,965,388,508,725,940,891,
588,781,054,330,404,939,131,883,282,938,749,709,133,619,092,929,173,696,777,
719,315,215,237,498,049,248,152,288,059,224,495,324,779,541,100,610,482,625,
693,157,755,450,665,778,251,544,008,071,304,061,377,932,242,194,101,774,744,
181,151,919,407,889,179,393,305,776,622,074,129,322,335,926,146,592,117,038,
554,845,025,348,420,098,509,790,462,942,820,861,261,248,825,760,040,366,021,
631,385,807,530,627,302,764,105,095,572,488,531,573,897,410,180,810,565,652,
533,722,811,568,975,359,394,829,077,231,940,753,039,475,411,270,990,579,623,
035,492,691,425,865,421,424,832,647,009,970,963,503,480,604,618,966,045,095,
516,328,907,794,927,232,508,366,570,818,944,807,010,677,912,687,372,392,133,
557,439,288,959,095,882,227,599,925,857,389,286,536,369,152,437,491,063,224,
649,006,498,103,268,887,173,459,331,787,811,661,311,767,720,468,403,072,053,
175,909,147,856,846,610,884,657,912,796,554,925,951,800,022,554,466,926,952,
697,903,390,479,708,286,920,507,633,470,109,171,936,484,374,040,341,563,602,
963,538,522,061,676,246,315,024,458,763,766,473,809,596,544,889,473,613,731,
330,007,824,638,044,302,639,095,845,630,979,201,653,173,750,569,345,318,043,
241,563,988,243,877,024,288,608,045,649,866,497,599,929,963,738,816,018,060,
825,530,335,611,389,744,146,131,102,906,379,582,852,207,336,161,720,769,557,
789,848,011,513,404,069,351,719,461,856,226,852,356,634,961,459,326,425,128,
430,511,599,555,084,937,233,666,511,283,793,774,532,743,021,335,480,155,444,
714,687,996,517,756,249,946,209,631,189,069,408,446,242,015,310,565,236,305,
940,354,030,622,558,341,404,185,738,022,119,114,122,914,964,628,746,101,580,
868,690,124,112,860,206,014,108,869,700,355,433,887,853,825,560,756,168,921,
970,935,960,277,978,718,924,756,929,071,911,580,953,074,588,177,117,368,523,
343,807,561,226,289,851,870,616,223,412,673,214,682,925,889,068,805,920,234,
480,530,965,969,045,188,720,060,860,108,417,218,757,580,082,382,754,354,896,
568,221,989,279,639,153,544,906,434,290,815,337,821,412,583,865,919,932,381,
755,301,272,290,631,025,976,877,370,583,760,323,213,751,109,154,739,113,528,
379,280,709,381,628,523,898,257,051,332,900,809,104,263,062,338,269,136,921,
549,568,409,861,560,023,566,038,343,497,191,016,191,619,196,020,646,762,073,
563,128,170,733,646,326,179,902,072,506,136,130,222,926,064,805,825,599,273,
891,483,323,536,279,102,065,582,978,000,651,771,200,391,989,624,920,845,697,
910,549,503,774,965,605,812,031,437,888,791,622,113,233,495,542,904,255,593,
496,855,694,917,658,794,096,785,296,213,189,054,664,914,202,902,018,487,769,
924,550,194,477,460,915,704,990,651,912,490,382,105,632,345,061,072,607,994,
519,612,396,836,340,026,715,900,994,589,559,887,689,003,549,510,639,095,051,
494,180,010,022,204,071,479,704,821,922,415,843,640,973,850,928,526,207,866,
273,305,518,263,546,287,626,015,748,703,608,613,123,582,972,626,503,277,868,
041,862,739,945,913,967,236,319,413,038,460,271,825,058,665,435,755,287,465,
814,140,374,579,973,126,147,280,077,837,784,051,068,387,368,294,393,810,490,
260,884,859,104,060,909,929,268,212,155,219,523,670,963,456,775,991,661,027,
971,532,593,589,612,813,119,360,010,890,502,613,171,181,579,379,850,818,564,
049,823,774,039,476,419,880,098,629,993,897,012,328,337,629,580,321,723,080,
977,147,293,907,021,402,252,809,733,380,012,466,033,891,620,701,828,551,404,
168,673,820,978,210,877,413,735,104,787,221,523,673,342,230,059,387,926,409,
247,956,737,096,232,977,863,302,145,205,711,605,804,261,690,613,393,830,101,
190,500,568,386,389,595,708,460,579,222,752,076,951,911,218,260,135,975,199,
494,666,266,875,387,161,295,914,541,390,888,537,409,987,519,475,039,290,453,
600,052,926,876,887,381,772,683,381,253,300,982,137,059,657,812,739,006,079,
884,986,272,133,281,591,271,481,930,964,785,100,986,821,591,758,170,598,543,
050,857,594,940,074,194,316,430,158,088,337,293,660,269,383,805,470,032,015,
610,939,741,241,419,804,776,778,337,331,772,689,167,447,800,997,603,455,306,
220,949,749,042,192,959,285,797,012,714,023,413,902,808,738,867,726,322,846,
589,933,045,069,549,249,355,463,031,558,612,101,114,987,818,590,290,657,516,
234,835,287,426,693,976,185,345,225,845,203,274,530,397,986,397,692,387,716,
936,723,425,078,863,212,867,947,010,471,884,120,106,501,105,418,692,627,270,
987,969,428,571,394,735,300,541,492,296,775,823,799,394,621,650,001,164,503,
463,562,170,943,251,480,132,752,674,333,534,124,876,201,201,458,566,070,736,
545,454,265,595,789,400,961,158,408,513,153,632,793,299,163,246,357,448,890,
803,463,770,218,900,526,415,633,038,239,052,273,306,497,392,902,775,752,123,
091,344,775,473,141,867,469,153,729,341,156,015,356,740,642,998,952,672,579,
511,425,817,504,423,410,204,713,164,648,354,080,803,842,948,429,720,624,865,
315,425,079,829,326,862,873,653,520,320,173,887,558,306,612,658,705,539,003,
714,343,886,297,582,373,527,127,499,275,626,141,898,177,677,467,881,962,300,
168,567,251,465,701,725,881,721,221,160,261,561,139,322,936,931,499,283,176,
923,879,646,671,720,249,750,671,717,366,194,059,496,538,873,206,767,084,076,
515,640,302,470,396,289,386,701,643,292,764,782,837,146,156,775,907,272,113,
172,566,435,850,975,434,320,200,584,404,369,656,200,053,933,150,598,643,866,
416,606,843,546,524,395,274,249,794,100,561,036,096,458,346,303,113,531,136,
875,076,792,301,060,295,611,104,290,704,447,061,430,184,957,993,291,061,285,
945,315,630,911,158,183,411,997,814,054,674,242,672,455,675,661,337,704,898,
605,716,335,804,327,469,358,433,470,290,815,829,237,304,766,357,474,240,803,
490,064,237,167,133,738,599,490,093,077,329,029,846,360,325,500,797,993,499,
022,923,966,826,317,073,762,747,989,179,361,216,403,038,012,896,108,287,394,
381,035,658,236,495,886,947,610,769,399,517,631,394,187,294,107,885,946,293,
660,313,168,155,210,868,893,399,714,325,783,613,276,392,384,795,076,725,300,
697,772,303,795,499,279,142,717,334,690,497,891,906,902,938,265,856,473,332,
273,470,743,505,442,314,591,871,763,229,115,595,898,798,238,530,385,841,204,
892,983,721,994,150,314,752,296,520,251,854,034,142,566,733,650,074,254,965,
078,644,026,440,517,751,514,315,750,072,998,320,952,169,135,348,112,097,261,
230,702,922,828,233,381,232,989,241,783,116,715,201,572,169,012,709,059,730,
284,954,039,916,172,246,284,810,957,614,902,218,401,977,519,169,245,558,175,
761,422,379,889,082,498,874,016,147,297,172,535,903,940,015,648,030,701,603,
439,409,430,403,351,299,808,632,244,998,749,886,232,220,121,286,313,924,584,
193,619,147,941,178,162,218,630,735,998,073,997,077,443,604,873,888,748,455,
381,955,496,300,528,483,284,746,607,454,537,452,210,004,137,269,265,836,702,
412,573,727,106,335,466,936,822,143,735,309,932,970,350,007,874,525,934,491,
914,073,281,681,808,429,641,282,565,967,452,514,102,508,495,100,680,209,522,
512,157,575,144,473,008,897,655,701,818,835,400,673,983,115,232,910,453,181,
574,585,508,699,162,544,830,055,530,189,916,004,953,300,606,745,500,059,925,
172,042,356,168,765,846,189,771,912,881,365,983,082,810,443,843,408,538,759,
087,973,265,521,990,512,605,520,706,925,464,380,927,674,408,177,591,555,998,
688,224,920,763,702,522,794,572,727,939,613,577,664,338,169,901,824,497,222,
146,984,589,053,231,029,411,983,543,389,449,067,111,533,808,628,138,563,876,
484,221,700,498,260,288,787,003,040,191,938,210,718,726,034,768,652,998,955,
192,216,254,303,332,878,606,698,311,112,233,489,919,346,025,683,167,138,211,
756,884,463,809,106,364,932,667,990,667,255,264,571,538,994,663,633,883,905,
802,461,243,742,088,784,752,751,493,020,376,273,507,683,394,355,138,459,765,
876,293,218,428,884,350,408,732,153,839,694,527,829,626,384,913,862,575,713,
825,749,179,877,605,448,427,158,160,807,567,387,497,912,585,008,414,166,294,
198,624,884,336,132,129,568,851,551,748,216,741,216,090,193,627,498,944,928,
342,147,169,853,502,133,019,359,426,819,375,716,752,761,788,707,931,933,484,
125,601,569,764,577,533,532,031,824,530,802,799,276,499,354,498,598,697,264,
501,306,552,476,574,453,248,790,762,678,679,639,917,837,543,088,163,878,885,
389,546,374,170,417,144,489,686,738,597,290,414,721,573,412,100,815,803,120,
042,513,684,496,288,468,289,718,319,035,067,403,387,162,958,730,884,991,651,
009,441,956,224,722,389,244,167,115,029,971,454,812,716,058,386,707,001,388,
301,317,895,605,357,014,191,404,494,459,416,074,615,470,369,119,168,605,576,
017,304,160,550,062,935,645,520,814,787,638,794,333,722,042,008,513,549,352,
676,050,489,189,291,627,563,697,039,723,284,238,283,170,656,117,061,712,407,
536,452,005,452,724,698,349,562,393,972,070,089,554,712,319,833,028,612,462,
673,892,340,056,126,786,485,265,124,551,068,661,056,821,817,970,467,642,804,
430,584,593,163,991,367,644,553,224,161,604,401,893,444,639,367,128,085,987,
700,173,585,322,788,666,946,918,702,856,587,398,393,769,238,473,225,679,243,
549,926,924,729,448,412,757,046,353,541,395,445,556,268,534,667,384,922,143,
364,839,199,439,257,823,439,131,862,676,899,873,059,233,100,606,702,898,897,
784,679,638,619,941,286,472,694,762,171,898,145,674,092,866,602,314,545,005,
247,096,560,197,045,527,824,084,683,287,046,224,865,234,069,354,135,384,937,
739,836,710,860,649,181,635,628,348,603,814,761,800,041,841,343,189,780,733,
343,807,723,566,367,004,322,196,625,351,425,930,740,647,371,338,167,918,802,
125,252,314,174,679,663,907,078,371,243,563,520,542,387,960,566,335,227,513,
712,561,655,021,990,161,927,064,993,275,152,078,513,038,602,278,192,995,270,
394,855,856,543,805,268,617,425,164,904,880,171,657,979,372,993,364,870,723,
367,404,099,071,055,939,576,497,531,715,071,980,091,159,103,156,233,761,194,
077,541,575,953,041,429,104,195,197,345,706,507,616,204,464,415,823,127,956,
491,772,214,061,604,009,542,668,857,478,360,062,166,830,746,067,147,816,714,
116,900,731,551,602,460,890,810,529,298,762,393,274,507,803,668,374,290,435,
629,602,848,222,908,608,395,576,751,829,441,600,846,551,419,566,453,001,209,
914,338,306,202,341,866,181,964,014,491,448,415,189,105,323,146,508,290,601,
726,566,417,089,614,404,578,200,333,881,700,062,439,102,546,809,373,867,712,
505,790,442,560,864,921,930,057,077,274,812,090,735,127,669,677,824,908,003,
871,683,269,258,015,135,926,005,895,349,963,164,995,621,219,064,467,018,025,
120,239,515,792,534,339,279,251,076,495,522,234,765,005,714,166,581,328,697,
769,555,970,617,779,317,726,799,249,465,108,305,795,232,921,599,929,638,368,
203,360,083,420,566,120,118,065,362,961,132,531,322,029,280,325,857,352,121,
306,905,438,344,399,750,875,136,873,893,462,737,923,514,597,615,198,418,401,
602,017,204,620,344,705,014,831,133,325,924,208,714,893,242,831,463,705,390,
344,939,941,687,306,596,641,523,371,067,311,441,847,878,036,285,942,377,725,
309,692,995,729,166,154,421,296,580,820,915,917,301,357,313,108,584,321,869,
403,425,049,816,186,760,365,575,406,976,309,364,924,681,546,350,196,711,242,
312,462,227,035,830,979,641,146,075,074,950,113,863,317,303,117,260,690,678,
398,691,477,890,917,174,156,316,483,553,184,208,207,318,506,501,684,885,313,
551,819,170,996,736,250,074,410,069,502,111,405,369,162,770,923,907,599,142,
966,115,967,703,097,168,725,693,622,471,053,432,630,942,247,821,322,049,016,
804,122,997,886,507,433,134,134,109,985,313,608,556,680,791,917,734,515,633,
099,990,706,982,276,928,485,838,158,872,451,131,197,709,394,140,276,178,207,
698,486,377,864,639,221,515,665,823,414,346,488,599,858,713,887,694,724,055,
302,757,516,505,831,471,737,412,578,667,540,425,938,998,592,475,689,049,851,
286,283,872,386,113,497,806,527,781,338,394,815,096,869,301,803,687,256,637,
123,216,011,089,218,462,735,018,813,951,244,694,979,782,690,165,822,353,510,
670,944,853,775,538,066,150,957,587,208,596,447,166,628,987,253,869,612,810,
687,579,189,744,288,161,682,244,859,572,858,876,863,744,809,923,953,882,287,
162,995,099,000,796,474,795,328,768,838,363,944,093,412,685,952,998,460,544,
197,699,605,220,714,433,123,602,703,173,558,338,381,091,510,590,048,700,005,
689,113,698,207,017,892,506,309,073,663,997,116,353,783,626,676,212,398,395,
523,435,362,454,470,771,595,739,442,678,380,667,940,865,982,945,448,710,564,
327,551,478,756,613,672,629,989,753,189,519,027,505,620,302,391,658,447,655,
730,690,994,307,399,374,339,495,137,841,582,957,155,516,903,925,613,002,794,
873,060,355,003,839,223,866,842,107,519,059,482,473,689,134,890,816,456,896,
970,573,548,014,993,539,329,499,927,038,053,412,474,068,500,602,933,482,758,
396,835,750,233,519,371,644,993,965,389,496,983,576,704,959,574,981,677,648,
955,733,414,101,613,334,026,005,353,931,038,018,927,125,739,244,366,698,512,
290,336,648,811,202,665,179,504,960,866,148,224,452,482,261,561,354,647,802,
887,384,876,549,683,421,361,083,617,431,257,155,583,485,090,257,439,998,791,
656,002,480,790,187,432,128,658,233,930,058,301,695,998,011,671,848,053,165,
011,864,628,321,680,365,201,708,242,603,424,333,898,374,555,761,845,742,456,
425,645,034,628,531,711,176,095,758,401,701,952,158,510,347,086,080,214,678,
383,665,363,806,498,463,924,265,966,844,750,053,857,839,910,013,320,232,433,
163,827,319,427,269,777,159,960,245,650,708,708,036,313,016,044,811,875,075,
105,966,475,296,750,657,175,301,466,089,236,293,051,001,429,814,751,116,949,
886,624,139,177,482,421,783,324,687,312,888,046,569,241,629,854,687,272,369,
779,894,480,018,055,688,236,581,300,451,548,400,831,558,932,763,384,230,369,
854,762,836,505,397,588,249,271,613,231,781,252,623,303,883,754,824,708,101,
666,345,457,423,759,364,053,242,307,535,636,755,264,840,199,515,134,566,092,
077,030,085,053,259,862,917,281,187,712,493,473,596,725,351,614,885,754,119,
011,954,053,318,618,654,728,869,125,180,533,405,804,800,181,254,808,311,891,
310,555,773,027,183,247,119,409,085,812,635,643,989,243,927,997,419,906,081,
436,707,771,603,324,602,328,862,649,016,508,467,900,330,730,459,312,919,715,
975,569,214,951,191,362,365,235,095,895,656,734,563,884,236,854,082,776,047,
409,127,769,128,106,482,890,833,537,232,837,994,545,079,799,089,460,994,329,
699,085,266,236,963,738,988,668,566,786,787,980,229,664,327,453,376,279,328,
668,711,402,722,333,508,688,179,362,979,077,786,146,171,017,008,743,953,806,
540,786,405,488,064,538,678,328,293,263,470,334,907,807,900,580,811,727,350,
206,688,241,954,674,565,436,963,024,103,251,978,497,986,399,880,917,834,229,
824,261,503,002,216,949,295,064,358,763,292,058,199,042,814,820,462,079,275,
442,973,926,533,339,236,239,806,584,997,918,291,067,863,865,424,162,071,638,
730,962,958,544,042,757,724,725,199,000,320,491,159,293,400,840,891,698,129,
368,057,953,546,967,462,119,507,109,691,026,420,883,236,403,197,477,313,717,
785,577,188,319,752,907,149,430,225,090,467,444,614,456,640,277,349,784,508,
487,673,575,515,663,626,545,921,418,630,742,048,884,497,661,059,465,072,983,
319,126,405,950,414,080,072,673,475,669,219,861,381,522,932,544,842,087,243,
660,196,698,426,342,147,567,832,097,817,147,013,259,722,070,141,757,716,303,
863,894,194,091,124,862,916,989,985,719,471,951,362,899,599,416,776,668,904,
114,546,104,911,111,885,242,294,187,707,764,213,646,894,015,783,469,004,347,
266,291,846,140,802,090,896,330,724,540,104,501,036,258,778,609,708,466,474,
374,523,890,762,316,440,932,531,780,068,239,623,335,631,100,659,540,565,073,
733,271,565,364,316,823,262,840,339,390,006,997,081,574,769,682,440,877,191,
850,636,748,239,152,291,402,505,948,987,016,277,828,069,730,931,353,955,984,
511,510,116,307,694,601,200,040,953,826,718,056,611,803,564,259,946,762,771,
387,604,739,062,119,831,958,223,508,045,703,997,609,684,667,204,071,213,183,
037,427,826,901,777,725,496,828,430,201,437,215,894,540,663,688,376,193,145,
178,902,624,899,748,176,106,921,948,163,384,374,857,857,552,343,983,537,762,
677,635,457,513,361,263,600,405,584,127,080,092,956,741,362,346,420,694,232,
043,724,599,571,062,751,438,965,997,224,813,337,055,482,718,883,873,529,361,
592,723,595,560,344,128,857,736,384,266,558,153,360,018,832,305,637,926,099,
570,934,626,052,538,410,485,004,635,408,137,467,633,130,060,783,648,907,787,
106,409,987,614,492,575,318,347,613,064,320,183,758,783,929,004,190,269,030,
558,834,369,021,302,584,820,474,635,162,047,056,666,263,485,365,217,559,868,
453,279,562,528,470,304,867,001,472,726,886,637,858,203,616,710,048,871,581,
682,573,637,196,410,551,952,374,338,329,088,619,421,632,653,479,434,392,521,
062,926,618,083,300,325,040,776,368,928,713,666,235,465,393,547,553,056,486,
176,645,427,946,433,991,489,895,189,672,343,423,904,615,527,978,029,385,411,
631,241,672,640,844,176,992,586,191,542,221,189,058,785,230,820,663,901,806,
871,717,561,104,932,440,746,916,372,021,367,315,575,542,554,319,079,267,893,
161,796,120,248,291,743,106,554,128,377,175,024,626,988,413,571,888,823,452,
882,627,436,861,448,204,934,644,587,278,802,031,905,403,778,363,440,418,588,
279,881,836,300,713,208,267,304,962,680,116,848,779,414,904,473,541,315,058,
796,794,386,281,947,076,108,227,419,911,342,227,731,031,337,328,227,881,672,
685,885,949,956,353,278,823,500,372,697,162,273,846,473,737,720,135,084,159,
844,055,039,404,691,525,612,237,292,571,221,638,687,553,114,676,555,889,540,
470,543,075,343,859,744,076,903,734,327,354,017,265,839,768,607,553,125,606,
319,282,272,683,605,473,550,473,630,765,550,312,095,293,600,988,046,103,718,
316,748,417,059,482,249,663,081,996,363,645,949,419,433,295,552,572,841,121,
995,267,978,027,140,760,523,914,921,036,755,231,736,327,968,277,783,664,218,
079,086,828,731,411,439,369,681,563,503,106,151,465,265,783,960,282,568,780,
759,103,283,946,964,100,640,383,069,340,531,995,870,887,877,825,665,392,766,
268,068,298,075,093,651,650,487,927,410,259,143,714,423,500,348,928,355,210,
850,472,210,847,492,557,739,881,662,814,461,442,542,173,485,894,845,751,204,
911,056,540,891,516,368,539,257,774,997,101,195,552,225,724,187,056,677,482,
537,879,230,187,722,286,718,262,761,922,692,910,207,683,248,256,233,118,122,
674,637,568,378,732,114,900,252,437,719,695,412,983,544,741,558,943,833,085,
079,708,637,229,474,216,712,787,494,252,953,480,043,303,307,297,322,560,993,
105,719,671,942,011,234,291,191,239,616,717,621,833,322,632,854,668,848,475,
577,299,231,630,714,180,823,476,495,307,765,728,596,283,462,195,491,734,521,
191,795,698,705,069,074,197,060,049,586,907,430,712,975,142,050,114,926,377,
206,134,865,045,485,994,156,886,370,027,144,692,994,451,402,032,756,440,728,
621,940,793,578,810,331,938,973,948,388,802,932,791,580,059,162,255,299,313,
983,447,519,726,136,337,302,328,819,445,544,339,709,390,574,440,854,412,719,
310,056,511,625,272,430,540,716,126,135,076,298,874,396,867,616,322,246,951,
950,944,654,831,440,903,761,750,277,389,948,865,464,611,581,594,311,418,319,
473,450,980,655,744,980,456,634,716,740,368,776,539,078,253,031,493,737,017,
170,920,385,090,069,238,390,729,192,080,895,562,914,252,037,634,337,729,513,
503,255,374,322,127,274,061,833,188,919,144,655,370,103,842,280,013,552,796,
600,670,154,375,952,689,681,399,344,084,812,651,443,301,481,688,319,872,224,
276,560,449,794,492,857,645,512,156,591,062,430,468,119,536,812,413,080,027,
744,561,161,926,591,562,314,251,304,008,448,583,329,099,173,047,654,105,525,
353,988,068,226,830,014,599,359,070,942,961,709,993,035,253,867,006,745,253,
850,964,454,245,201,430,647,283,843,040,432,294,647,424,082,540,571,809,648,
994,634,280,540,201,469,501,169,913,539,372,282,834,812,758,264,582,795,939,
517,408,154,367,357,543,845,884,447,060,065,277,020,375,057,761,317,743,656,
620,295,364,960,962,650,544,685,784,967,440,138,763,001,116,805,636,255,494,
163,337,586,990,066,536,622,460,028,254,905,415,758,226,907,047,903,122,571,
863,219,931,022,601,027,451,820,916,789,301,004,411,527,571,658,700,111,850,
437,407,487,608,285,653,283,213,792,826,017,871,427,781,267,163,293,667,072,
465,301,971,184,053,739,357,703,594,714,538,513,135,895,013,041,240,430,047,
332,516,561,754,095,588,930,914,859,295,230,923,723,217,591,898,667,423,675,
210,677,049,572,727,834,052,220,416,022,819,353,791,762,084,450,538,962,366,
574,566,949,470,962,203,401,616,072,240,111,837,658,189,960,213,787,729,395,
343,981,192,924,236,568,841,766,431,177,353,680,550,140,099,603,888,222,479,
758,441,687,213,689,242,165,857,624,973,352,253,433,017,547,774,326,790,863,
276,239,673,808,646,328,919,415,438,281,214,895,706,368,009,201,340,583,104,
421,786,751,496,947,939,085,987,658,969,020,317,895,429,910,564,926,506,792,
999,991,751,836,474,756,424,120,863,498,021,056,260,596,413,184,859,645,838,
702,813,242,930,515,616,697,972,351,166,815,328,763,891,820,226,864,154,396,
439,099,365,936,833,319,519,483,228,306,986,668,587,085,753,683,971,833,253,
316,017,670,546,946,926,978,077,205,472,454,037,011,753,526,197,512,272,254,
715,358,014,176,745,668,464,521,922,752,889,643,170,957,944,947,725,103,509,
527,440,433,198,933,486,654,982,759,651,959,822,829,320,902,204,390,534,214,
674,597,744,803,440,185,699,364,009,839,740,117,570,993,734,593,571,268,896,
170,132,029,430,546,409,599,826,730,847,611,946,326,602,664,980,500,080,171,
841,930,525,172,717,872,535,174,798,173,792,043,598,412,887,808,221,168,050,
479,889,859,754,601,571,230,720,669,519,569,560,783,606,941,625,592,069,482,
595,341,034,914,548,461,818,745,387,759,041,761,835,537,139,393,651,465,917,
171,901,303,928,364,052,145,639,554,273,930,046,266,368,175,559,446,687,559,
867,416,525,615,366,368,628,399,485,333,389,708,736,056,663,563,570,898,626,
141,635,384,194,132,831,831,080,735,645,885,006,449,170,633,934,054,910,464,
299,656,184,885,003,943,174,420,909,961,802,031,914,085,347,229,101,121,852,
739,763,487,931,884,544,267,067,604,460,649,218,498,569,017,464,952,786,758,
601,169,564,580,162,900,811,405,468,488,689,616,428,005,128,960,397,861,325,
993,493,340,532,020,305,218,163,931,615,119,036,784,784,502,674,685,427,738,
009,071,986,789,250,350,198,032,565,590,906,600,748,666,605,882,788,601,347,
225,388,793,724,081,934,305,600,262,375,251,602,248,422,284,954,648,762,624,
312,423,135,391,481,515,303,304,952,695,968,306,397,578,003,281,053,151,140,
041,971,265,073,435,172,727,072,675,971,429,476,935,450,339,471,647,497,554,
125,157,871,701,133,335,381,032,559,672,431,904,542,481,928,761,185,455,324,
015,284,116,953,928,476,055,891,628,503,616,056,054,907,879,236,808,162,860,
118,177,610,478,274,883,008,149,382,941,296,382,021,265,723,633,887,343,966,
726,691,264,797,889,405,535,546,396,371,078,740,753,164,275,323,430,456,569,
051,037,851,325,938,237,826,727,096,888,521,898,837,275,700,947,552,669,650,
379,373,098,933,838,507,669,058,454,409,885,059,574,077,310,494,304,124,359,
051,798,251,160,278,383,423,772,338,438,843,923,250,040,601,964,164,314,798,
984,686,399,038,365,114,598,022,378,776,173,891,243,989,588,684,239,447,555,
080,374,497,561,137,310,067,847,170,182,055,256,356,652,588,036,491,367,010,
724,241,971,371,362,416,197,742,514,873,701,194,759,079,713,559,535,566,340,
265,366,464,207,085,826,395,934,734,478,084,662,190,354,138,713,685,543,228,
882,659,489,406,965,846,710,234,067,267,907,941,905,498,366,202,436,337,550,
326,724,850,637,003,879,660,902,281,104,469,723,476,664,736,326,211,525,521,
913,262,673,234,840,798,816,963,780,649,347,451,694,971,283,022,822,330,115,
247,691,545,098,420,444,382,306,762,279,848,392,339,961,496,727,265,314,110,
445,816,230,679,200,537,621,672,478,988,394,100,919,567,272,004,534,377,545,
102,897,124,942,475,190,278,565,499,583,823,167,775,221,261,542,441,311,229,
283,371,801,294,191,142,173,743,416,717,237,542,929,186,139,363,795,304,733,
571,433,083,665,554,873,131,580,965,026,812,630,209,870,913,666,355,289,887,
189,368,926,152,726,719,752,167,614,023,938,179,651,685,914,045,255,203,670,
514,153,323,640,976,267,003,227,073,364,365,481,967,222,649,493,050,475,138,
278,392,524,048,288,457,532,141,093,242,705,712,616,993,846,683,921,409,828,
680,701,386,375,793,360,472,969,049,317,952,147,990,387,615,254,584,175,565,
128,218,539,926,858,323,703,256,685,215,858,720,079,605,258,235,009,647,932,
818,241,171,802,244,243,878,338,109,629,360,065,104,616,324,908,705,282,085,
337,874,533,355,816,180,863,911,556,313,386,450,110,480,300,743,335,188,025,
288,499,343,833,662,196,214,848,389,689,973,549,803,443,993,057,162,557,106,
586,646,888,112,905,164,126,353,288,992,977,491,554,324,311,668,439,187,681,
794,819,071,579,826,281,321,091,388,186,720,469,213,621,486,013,977,653,204,
443,643,282,447,229,269,242,859,442,416,149,300,066,361,921,550,897,095,251,
980,876,112,603,733,300,913,417,690,873,551,035,129,826,568,691,939,711,321,
820,693,516,569,410,008,141,528,557,083,352,744,913,581,371,273,521,481,203,
531,724,136,734,198,061,323,569,354,350,606,181,260,067,541,722,529,603,489,
594,894,863,509,472,939,988,411,137,794,983,565,405,609,877,864,169,140,727,
276,729,763,958,471,431,236,497,985,868,592,067,876,201,586,955,291,793,861,
292,296,195,837,393,278,649,226,884,621,043,890,349,458,160,222,734,225,053,
326,228,158,960,226,010,659,030,749,258,960,272,774,022,123,561,237,063,639,
362,248,439,703,241,613,639,572,024,262,693,764,585,608,743,894,447,430,060,
006,392,676,198,609,442,517,613,654,793,478,426,011,855,691,980,738,007,723,
637,271,597,514,788,815,136,847,102,642,018,985,945,217,500,821,149,468,409,
486,305,886,842,832,875,736,149,724,140,909,811,297,310,290,904,720,657,075,
255,632,951,822,516,315,252,756,126,562,396,788,275,611,015,275,733,822,979,
052,810,052,393,147,421,525,060,591,442,623,683,537,101,728,051,306,766,040,
416,197,054,446,994,724,298,107,535,649,763,212,484,141,084,939,203,875,984,
965,858,860,260,603,732,457,352,978,555,052,829,656,512,404,872,950,522,877,
333,937,456,838,968,942,996,112,631,842,899,661,392,531,521,615,713,355,523,
112,963,341,556,310,394,830,772,051,960,973,691,088,891,373,619,594,844,238,
350,937,889,851,519,520,987,862,505,564,817,715,325,643,441,060,181,851,438,
189,308,149,781,677,093,355,833,158,134,813,060,756,810,208,413,643,509,355,
445,016,945,485,753,915,459,192,118,154,607,411,752,365,562,802,056,758,513,
260,028,262,456,332,793,796,267,364,064,627,006,813,458,426,711,754,545,548,
044,128,719,892,178,018,867,345,337,447,149,010,948,555,587,298,285,110,236,
918,983,110,143,140,947,417,324,076,097,040,322,518,901,999,869,099,122,476,
313,507,544,723,755,602,336,255,870,514,966,401,145,423,389,618,505,859,417,
803,999,950,025,600,589,796,349,312,677,191,240,073,453,724,053,045,639,924,
123,433,734,553,340,889,241,864,261,739,538,673,893,749,272,532,868,786,526,
659,979,473,731,744,090,963,515,219,642,171,375,502,126,353,574,227,709,067,
829,022,649,647,264,701,182,421,550,122,021,149,086,618,477,861,005,179,070,
998,703,002,681,638,361,602,455,698,150,567,610,528,190,677,491,782,078,345,
387,492,880,805,489,322,015,941,706,094,949,280,990,203,656,005,722,592,971,
940,465,919,888,894,195,980,700,724,768,264,861,730,393,851,897,560,065,741,
158,729,219,703,153,325,885,271,861,311,550,577,610,978,384,337,788,901,463,
045,047,587,277,164,000,949,044,139,425,983,065,696,790,746,496,255,364,360,
893,975,167,136,059,750,075,677,225,175,122,317,401,801,186,088,600,890,502,
286,147,416,787,445,770,350,970,827,376,818,691,143,187,997,783,589,914,435,
904,290,017,857,497,484,015,384,318,398,105,477,102,133,659,776,255,524,847,
386,708,278,652,461,576,666,571,950,885,782,868,912,014,886,663,949,327,649,
793,059,128,338,695,473,170,416,504,765,023,595,061,239,191,886,512,355,677,
039,057,048,083,875,119,686,010,187,570,019,339,222,354,530,903,806,827,134,
339,403,072,890,347,445,451,342,958,890,432,239,122,058,539,532,496,853,655,
648,902,685,360,792,034,013,687,354,174,957,531,552,572,926,039,045,225,669,
474,617,720,765,185,293,523,253,177,085,979,207,125,539,312,989,894,173,951,
199,937,183,797,655,241,105,019,035,333,208,029,361,068,666,625,481,797,825,
017,383,826,962,312,358,304,665,391,349,791,909,407,336,608,426,005,522,935,
047,065,524,206,169,847,222,946,664,047,757,017,301,721,717,420,316,053,425,
768,210,494,238,795,116,124,136,542,953,567,476,963,976,287,152,388,133,138,
213,263,823,890,053,029,438,938,764,930,525,547,127,638,310,561,100,241,346,
148,497,038,712,470,627,390,423,311,173,619,473,368,580,613,090,559,645,937,
264,466,093,212,576,025,049,721,100,747,014,258,721,556,722,638,188,940,060,
287,466,581,168,589,214,171,567,376,262,695,315,513,157,425,930,849,353,298,
649,616,404,717,900,843,267,160,467,847,635,891,963,685,792,363,487,600,261,
865,734,088,504,650,349,503,991,249,260,971,750,382,991,445,898,700,803,240,
905,826,523,845,142,732,864,313,667,070,587,529,001,969,386,376,246,576,696,
471,912,091,559,949,541,213,954,064,306,695,006,363,704,046,450,216,346,725,
652,624,895,260,901,777,019,849,249,854,714,417,458,473,119,812,853,523,216,
657,261,452,726,702,754,053,532,103,292,266,560,109,371,618,198,592,358,261,
429,895,027,423,013,512,142,262,027,404,410,946,075,519,836,793,247,566,657,
056,159,732,851,556,101,113,663,684,659,642,278,052,963,794,338,717,837,256,
645,799,557,177,181,778,849,490,137,762,739,588,902,320,607,798,911,655,864,
061,385,815,643,940,828,516,774,087,355,248,919,327,437,813,004,303,617,575,
478,219,019,252,651,980,987,333,098,302,887,439,027,188,393,114,946,314,395,
599,710,555,528,771,978,905,459,244,109,080,238,066,814,894,891,756,983,292,
489,251,504,772,919,367,725,358,789,889,967,877,212,537,885,921,082,817,957,
613,040,899,421,037,392,573,887,004,095,550,880,207,328,451,829,973,645,960,
176,362,053,776,185,220,867,375,890,657,150,357,315,690,215,401,106,645,398,
156,340,030,514,949,419,194,630,688,415,124,680,878,178,667,278,975,790,617,
738,671,091,529,006,064,838,289,260,284,179,515,578,787,601,495,612,442,121,
669,416,972,576,551,145,755,326,929,951,158,749,583,917,583,531,368,518,715,
316,845,223,188,772,503,188,127,239,002,747,648,071,702,917,740,028,141,252,
080,931,593,737,969,861,993,465,802,325,842,067,963,902,090,514,995,893,766,
679,222,112,660,697,764,747,024,958,180,322,902,742,791,044,865,101,256,410,
556,573,245,996,229,039,767,631,929,291,479,237,492,882,262,362,855,971,457,
305,691,092,615,546,609,961,073,493,434,442,995,723,435,205,683,587,254,115,
343,805,299,399,605,071,564,302,662,570,643,304,227,933,687,298,139,582,128,
291,867,466,915,340,100,051,693,190,513,418,265,441,702,776,935,174,238,965,
528,077,855,645,361,324,834,127,564,222,521,006,472,609,156,707,722,914,066,
654,516,849,251,736,062,909,582,146,407,148,894,805,525,442,696,251,824,154,
306,567,202,124,595,756,757,155,578,403,099,550,141,893,223,674,495,149,728,
632,173,291,048,111,236,924,118,276,544,319,763,264,661,784,669,692,003,947,
811,376,602,457,521,593,848,756,949,988,531,202,593,011,296,369,498,785,160,
613,679,667,559,971,229,518,695,554,522,639,702,245,267,644,934,605,696,129,
104,670,436,629,652,236,408,741,103,411,057,812,415,235,994,104,133,908,831,
832,081,473,332,604,180,364,915,675,214,561,126,710,360,497,685,687,864,708,
740,089,058,695,184,746,126,050,640,792,125,614,314,838,548,512,990,337,717,
324,851,263,690,360,602,113,711,060,367,189,905,896,401,421,827,536,366,543,
836,179,870,227,977,043,943,843,238,318,042,507,667,687,624,152,014,833,605,
692,526,434,054,481,815,913,569,084,731,165,598,529,728,128,845,821,769,651,
404,591,649,210,489,822,189,989,847,440,392,827,716,328,646,162,358,850,953,
281,092,595,612,984,878,269,544,521,761,135,485,820,045,637,138,400,253,908,
806,196,807,692,038,638,470,544,874,277,271,670,527,176,575,414,757,659,068,
865,681,000,313,705,322,718,035,852,099,981,953,680,557,065,465,390,522,570,
911,998,403,140,548,256,342,608,834,623,106,942,597,368,482,746,397,432,190,
398,273,638,488,093,760,428,254,645,340,900,921,182,960,358,795,651,311,534,
805,579,425,469,920,347,007,249,969,191,448,144,678,909,612,855,255,687,675,
239,843,160,472,805,982,221,165,193,571,328,455,484,318,544,846,768,111,711,
475,099,289,823,763,660,852,164,266,310,548,469,733,035,327,259,362,769,625,
410,898,340,528,301,967,458,993,054,461,902,895,040,788,903,509,665,144,293,
817,687,797,655,187,934,406,327,436,383,170,278,950,375,961,017,313,182,654,
082,485,899,319,293,431,873,081,158,128,048,070,919,810,234,845,835,422,066,
883,261,637,641,042,726,262,370,187,992,514,408,269,805,819,667,458,724,132,
484,096,933,387,207,836,764,173,800,482,164,670,366,658,523,678,491,232,104,
274,902,454,345,533,683,151,612,177,819,359,446,958,259,895,517,551,822,225,
583,929,912,224,048,440,078,718,279,712,151,020,468,947,439,623,226,088,091,
206,704,017,600,029,166,034,916,034,453,706,294,859,659,962,065,939,523,858,
975,594,725,445,128,059,542,437,776,648,026,167,771,112,842,158,615,601,555,
587,372,344,727,615,062,557,424,177,988,530,698,905,647,270,470,881,476,237,
707,430,577,472,144,553,819,565,445,090,653,810,019,586,161,986,270,357,541,
386,957,919,688,951,948,138,052,406,098,014,468,922,951,702,466,932,325,952,
918,860,007,770,201,906,157,529,146,382,604,098,103,448,271,819,371,438,234,
304,245,004,443,192,750,440,703,700,413,205,490,090,701,828,296,017,125,590,
567,282,306,628,173,679,477,670,278,983,430,518,061,597,493,400,508,633,887,
006,000,328,793,161,163,885,313,034,828,658,173,901,582,488,827,366,453,195,
180,584,421,813,091,333,735,095,478,888,497,411,041,023,830,512,807,653,640,
244,182,980,466,927,329,403,155,667,686,080,289,007,583,872,864,816,394,816,
772,697,390,291,004,420,415,201,988,653,038,530,684,417,224,430,254,013,417,
566,417,112,548,710,091,844,651,813,559,474,154,506,506,185,266,137,669,675,
173,070,199,551,522,519,013,270,031,318,260,590,773,274,769,031,480,083,808,
014,524,755,990,899,510,617,115,719,625,835,666,845,314,295,768,700,898,501,
607,745,504,016,399,474,216,351,469,089,106,240,637,324,926,186,578,524,824,
220,660,671,145,116,207,245,618,345,508,642,449,779,691,927,136,233,085,480,
543,517,814,024,943,916,482,899,349,442,592,223,475,224,573,026,931,334,200,
690,370,199,319,528,753,758,075,610,253,422,446,223,724,685,816,411,531,706,
283,627,541,654,705,286,657,826,535,580,977,001,634,091,201,944,221,290,833,
821,771,870,935,359,849,446,704,242,750,057,909,991,841,712,948,597,906,929,
166,979,701,816,679,664,314,386,498,647,991,922,608,639,822,892,362,709,795,
021,357,636,781,058,754,353,979,933,498,500,783,755,969,717,901,527,107,561,
608,586,291,197,448,034,687,221,021,309,642,662,964,122,789,120,333,100,941,
355,431,435,457,302,248,313,726,564,380,309,194,173,078,517,872,231,164,080,
612,825,998,822,799,182,159,844,136,212,260,334,200,835,883,208,546,173,420,
845,704,265,447,654,199,733,750,769,626,938,286,769,512,032,936,726,686,768,
309,860,190,272,389,478,911,205,562,890,287,002,504,216,120,549,850,665,973,
497,862,361,114,314,478,258,613,557,372,530,942,276,156,347,068,109,647,686,
924,865,553,188,352,278,109,524,044,004,487,291,129,782,919,984,613,958,939,
711,923,563,709,859,699,403,985,421,347,741,468,207,064,119,461,624,245,872,
493,769,277,474,526,340,093,694,064,404,492,276,459,242,882,436,907,475,431,
778,227,087,886,190,732,675,382,171,471,283,773,186,338,396,076,953,933,382,
220,501,764,282,193,680,894,126,958,498,504,398,537,740,411,384,311,704,960,
356,022,288,851,169,251,976,900,418,515,762,465,848,265,108,916,617,794,111,
047,664,013,644,696,550,036,688,717,120,706,536,864,899,600,224,596,768,588,
922,302,892,836,951,369,818,929,077,512,912,519,805,886,671,104,348,629,090,
685,916,821,834,313,473,453,820,538,182,679,368,393,248,924,065,654,458,289,
480,517,826,241,330,858,098,243,320,437,581,994,733,777,302,979,699,676,177,
806,280,424,204,853,125,458,487,847,018,443,205,699,811,393,795,525,696,674,
766,601,582,042,049,120,224,128,067,476,868,207,944,349,561,076,795,502,116,
230,397,188,927,686,493,258,991,666,994,391,019,981,607,529,883,900,835,470,
337,275,193,350,205,836,536,524,172,494,523,531,951,087,129,393,505,443,864,
901,571,380,850,286,238,155,370,791,817,361,115,941,135,112,541,419,122,032,
792,716,332,532,759,210,563,154,293,011,504,484,092,912,128,444,189,181,541,
392,821,544,788,193,062,254,533,216,623,042,262,826,837,158,867,644,122,080,
468,484,905,358,859,734,112,314,218,275,926,033,267,539,583,802,170,473,103,
211,287,220,138,025,163,929,975,572,252,823,455,485,158,783,484,647,348,604,
622,618,562,652,848,646,176,450,202,418,095,502,160,661,736,828,214,176,231,
956,573,061,302,727,411,599,830,507,643,646,718,350,453,957,897,708,424,484,
343,358,840,164,958,982,866,305,092,376,494,059,861,108,663,199,484,339,077,
987,444,107,567,587,374,527,985,211,889,738,561,523,863,054,456,126,990,205,
749,720,315,866,815,020,647,419,044,654,957,326,422,890,754,885,005,168,901,
044,950,058,511,567,555,928,808,367,193,624,809,392,945,819,569,546,787,742,
766,394,071,705,540,109,066,276,400,187,095,255,306,722,095,927,960,483,943,
146,385,620,377,230,674,705,977,767,485,404,091,786,089,048,342,084,225,460,
664,254,524,530,341,071,976,482,197,214,451,043,595,000,515,118,301,500,352,
233,274,074,491,868,880,024,289,338,134,284,533,051,992,629,790,054,520,338,
588,536,917,250,538,086,226,828,703,223,345,393,681,169,079,400,014,937,893,
641,849,255,450,709,886,939,680,205,271,972,172,744,825,775,684,053,947,229,
327,307,388,207,383,899,253,546,008,093,313,542,684,085,551,602,652,245,219,
187,347,782,505,653,300,178,278,515,200,740,598,428,530,401,197,988,478,419,
521,487,003,090,609,261,254,157,746,420,666,345,764,226,615,910,219,254,324,
910,485,902,005,712,274,577,275,011,963,202,782,943,479,880,954,008,198,423,
037,847,128,570,352,518,978,387,363,771,341,249,099,196,183,597,764,242,409,
510,439,165,440,560,783,415,009,919,651,567,141,909,722,616,985,434,835,493,
807,134,101,625,049,849,496,549,399,020,450,280,361,535,502,057,998,576,356,
754,784,679,936,980,421,980,567,500,894,543,420,009,537,772,554,672,687,259,
039,836,566,280,217,775,400,725,737,859,513,145,068,532,812,777,350,688,422,
310,538,276,572,456,784,076,929,695,577,171,241,739,838,095,518,786,342,715,
560,009,555,262,697,649,103,047,092,215,360,491,532,116,895,809,669,835,091,
112,338,154,865,726,639,477,262,447,765,591,241,295,808,688,164,741,898,797,
472,782,728,594,412,890,475,876,244,017,724,583,558,023,248,225,853,693,011,
309,809,802,602,431,892,020,750,577,591,335,735,515,320,864,741,372,690,129,
524,128,496,793,597,074,268,609,721,512,721,492,597,705,761,810,793,372,043,
387,535,023,046,298,225,183,018,743,942,809,729,643,614,090,174,536,988,646,
072,357,192,858,778,596,959,072,617,266,629,534,281,491,446,552,840,952,793,
520,369,433,431,508,703,198,880,766,523,791,611,679,674,626,308,216,240,299,
471,705,192,294,416,054,152,392,239,835,351,615,402,866,647,494,827,004,801,
758,160,420,649,316,923,867,501,254,514,667,459,691,454,635,384,636,340,981,
940,500,858,074,753,688,470,468,686,522,051,583,605,443,277,799,076,085,702,
344,802,103,242,819,748,043,455,218,310,823,250,629,521,900,696,481,494,858,
307,490,867,094,942,113,161,371,593,107,679,831,168,560,183,087,299,327,401,
660,582,542,801,860,600,505,377,355,076,302,977,065,634,101,105,650,380,073,
188,484,209,124,668,143,723,626,244,734,403,016,710,778,873,263,444,833,783,
291,203,437,872,700,766,076,273,049,208,899,235,347,920,013,476,573,919,524,
618,673,368,025,101,856,824,859,400,734,706,154,685,274,060,504,250,951,929,
593,903,745,841,537,651,678,931,463,533,916,625,037,137,676,442,361,664,798,
387,007,198,750,116,898,545,005,942,009,368,935,027,421,740,359,442,658,081,
972,211,432,153,180,063,069,392,256,165,636,876,432,471,227,100,673,649,953,
157,003,818,651,357,486,908,998,014,732,206,388,402,331,107,423,032,037,111,
756,284,301,603,357,042,813,101,131,541,755,337,201,936,056,587,381,205,424,
457,517,720,332,288,345,187,276,103,781,515,884,838,292,923,803,292,341,949,
245,135,869,449,290,982,664,129,086,920,198,297,081,478,369,807,445,402,229,
239,425,481,247,452,815,804,470,882,155,941,254,574,573,844,625,828,288,304,
048,506,652,525,365,307,482,949,904,633,527,885,470,439,319,696,929,496,245,
007,621,816,331,521,118,277,679,773,654,240,190,857,470,490,438,076,559,856,
691,610,565,290,219,928,137,290,656,591,080,440,758,889,749,969,412,997,866,
627,165,419,936,108,729,842,914,731,836,530,115,303,239,108,550,801,433,410,
652,111,780,696,754,857,776,557,097,593,461,146,050,187,153,855,776,286,664,
205,991,616,156,836,352,736,191,562,160,140,591,535,984,214,978,358,342,330,
961,805,232,607,991,855,302,619,518,846,843,737,553,286,915,587,139,037,143,
574,248,783,027,068,402,360,273,979,498,108,657,623,064,406,876,403,318,447,
490,426,987,373,543,007,277,442,305,067,489,285,839,025,656,463,500,110,610,
422,423,755,234,140,326,468,117,562,474,243,263,721,441,285,938,288,657,095,
845,922,634,803,849,446,458,216,262,530,293,224,565,281,740,843,732,403,138,
531,388,324,679,374,655,166,061,787,233,508,309,715,716,205,466,626,900,775,
548,817,455,591,663,422,298,060,085,031,455,122,721,289,379,468,793,753,356,
502,580,432,714,698,153,063,827,441,135,755,528,095,333,774,604,848,071,607,
311,309,260,464,148,680,003,625,908,133,054,225,995,800,592,852,509,664,434,
514,290,112,051,808,270,763,939,957,373,498,473,770,573,966,022,041,249,319,
012,051,053,980,765,658,602,929,760,215,332,360,670,876,896,586,047,166,877,
124,135,977,185,597,698,956,591,820,840,318,072,890,419,442,721,709,715,380,
511,478,195,513,128,453,591,903,902,162,395,822,386,305,124,872,030,991,791,
619,256,889,160,160,054,796,953,387,402,427,835,857,690,954,728,130,211,103,
231,744,670,743,278,285,254,742,319,084,451,921,323,681,259,044,325,875,252,
386,408,678,782,453,980,591,137,543,219,294,216,623,277,360,907,118,646,857,
763,993,353,129,222,211,271,451,289,123,549,084,025,364,124,278,828,172,994,
918,537,979,736,213,338,524,869,109,267,712,650,716,759,493,500,560,641,516,
726,749,859,169,901,446,503,483,627,041,832,240,402,753,122,499,014,783,241,
497,979,164,992,484,733,690,525,255,667,597,851,648,334,369,041,172,855,147,
124,067,686,361,123,038,487,708,861,379,703,983,054,591,574,675,285,210,131,
875,748,499,308,808,279,932,632,106,597,174,699,933,200,352,594,697,236,512,
402,211,459,919,220,283,495,180,923,227,101,833,243,411,444,412,696,306,107,
084,749,795,395,443,410,769,319,828,682,027,501,121,297,594,747,738,508,041,
154,209,106,977,313,591,993,410,581,762,548,389,152,556,890,461,788,004,964,
551,685,403,618,169,869,683,613,593,443,094,333,686,339,972,939,906,072,700,
166,100,288,271,824,542,105,638,876,671,546,215,832,076,469,560,076,649,321,
507,092,597,476,883,604,714,554,772,506,919,312,510,464,493,654,369,222,379,
811,197,869,092,618,818,585,564,582,943,322,743,802,955,146,755,252,716,524,
803,260,062,653,275,779,903,863,294,295,081,813,269,001,586,730,321,048,673,
900,629,635,485,189,893,556,702,604,319,602,365,565,833,169,087,946,321,470,
191,281,425,846,774,307,414,198,920,825,420,611,529,388,608,046,475,607,712,
714,429,289,890,418,252,651,305,611,839,017,491,891,712,325,681,194,497,734,
548,070,790,615,288,850,275,860,186,248,865,836,876,055,211,822,243,208,658,
993,768,643,377,069,076,185,025,273,634,906,646,570,055,826,584,810,335,356,
932,841,603,242,325,852,435,419,875,037,233,606,460,805,947,693,497,470,169,
462,699,900,411,453,590,869,853,568,187,311,194,308,192,026,547,237,640,049,
236,010,292,991,103,334,943,966,797,451,044,422,144,717,485,152,167,851,949,
890,819,752,160,305,024,700,762,973,649,108,586,103,186,835,712,158,234,107,
098,079,319,450,762,475,892,662,697,584,761,081,865,360,017,345,332,280,722,
319,167,055,183,130,815,789,807,251,464,193,630,370,221,604,100,743,120,178,
928,630,732,378,978,438,693,105,381,747,116,184,026,057,211,237,149,738,695,
425,176,100,658,403,111,337,840,299,372,903,760,550,591,206,249,736,265,403,
470,066,515,090,453,142,184,637,488,972,937,889,207,442,268,865,685,007,880,
345,266,763,615,410,726,463,878,882,436,278,558,919,020,260,204,303,000,804,
852,377,985,442,844,843,859,869,924,414,272,011,368,467,032,795,917,568,493,
075,530,088,172,179,937,524,992,113,037,994,010,307,217,560,005,489,800,936,
044,527,663,845,733,270,703,251,860,958,034,455,417,897,532,183,754,567,542,
202,756,628,564,492,281,365,994,811,478,050,782,196,366,597,056,813,803,875,
946,719,194,113,295,837,780,459,899,725,055,495,549,811,010,607,720,341,664,
534,081,683,067,388,930,346,051,710,544,526,538,024,115,393,776,598,192,827,
717,796,195,245,987,279,201,801,727,229,800,842,391,443,006,944,369,736,181,
411,091,353,251,076,592,160,812,491,445,746,474,409,055,567,828,461,475,253,
733,438,152,142,000,886,913,623,030,306,217,831,724,000,411,960,071,066,816,
997,223,914,185,747,949,692,948,103,151,863,045,127,224,181,638,493,216,113,
061,700,313,064,219,381,176,618,040,825,365,916,551,503,381,438,178,860,161,
673,649,141,769,532,032,416,854,262,158,355,868,451,314,778,845,692,016,931,
997,440,631,398,407,430,857,937,609,772,641,247,052,579,875,633,936,592,614,
327,076,528,063,090,588,521,179,629,990,986,376,633,443,098,380,163,198,494,
200,811,355,363,218,764,076,103,545,092,456,254,233,806,093,877,413,078,426,
175,205,349,925,668,031,038,698,110,950,770,209,081,795,083,869,116,097,581,
248,716,431,998,970,461,710,952,360,888,462,006,465,261,291,355,235,173,760,
722,504,034,131,760,446,300,202,417,940,605,726,218,388,901,447,400,542,830,
050,321,011,405,610,036,863,948,892,752,684,134,501,329,791,665,832,345,063,
596,860,563,169,682,242,925,891,759,588,657,973,448,374,315,176,137,313,367,
417,739,178,863,816,308,712,861,586,654,782,511,378,405,701,250,369,354,593,
562,321,625,656,179,210,977,652,640,204,968,845,491,421,310,047,540,411,291,
920,863,613,209,179,970,697,293,914,127,371,153,598,989,316,806,608,261,573,
259,607,126,031,985,168,330,779,009,232,749,860,205,310,857,757,283,421,111,
385,023,766,330,663,090,798,412,927,354,034,522,765,722,820,402,340,595,694,
057,531,625,254,462,895,597,172,912,001,354,542,667,701,619,863,504,760,641,
970,530,587,751,346,036,205,002,414,704,578,178,376,628,470,967,035,130,250,
537,455,323,281,924,151,086,279,713,857,066,918,706,692,238,243,636,838,785,
989,923,428,000,648,131,387,919,422,545,622,465,824,703,873,327,470,954,068,
233,501,222,099,796,409,288,083,494,488,289,017,145,673,812,096,429,627,840,
780,229,925,217,025,636,522,007,135,012,380,304,432,953,877,156,721,383,539,
499,885,640,815,914,798,850,036,897,672,511,219,598,847,878,807,299,418,908,
906,331,509,196,224,153,794,098,025,291,087,228,494,572,897,476,290,266,078,
068,480,486,400,073,483,380,729,668,037,347,585,995,512,395,751,312,115,058,
653,871,707,407,052,867,402,751,008,784,626,067,567,402,300,282,658,879,062,
606,902,447,917,183,909,000,167,787,452,627,275,182,335,835,678,018,657,946,
330,489,212,384,290,745,187,735,506,217,389,193,639,031,165,272,435,638,749,
650,781,086,343,769,291,171,271,945,049,672,778,489,835,936,964,015,093,788,
890,323,323,324,436,850,150,693,737,413,447,270,352,652,739,491,786,854,422,
436,416,974,109,537,207,790,250,985,620,970,609,538,671,892,571,717,068,553,
080,327,537,677,539,718,843,521,130,906,018,887,745,430,464,957,385,885,963,
586,848,926,994,673,276,454,066,685,567,796,989,186,757,695,577,541,241,445,
814,075,655,235,988,292,947,665,963,744,285,986,368,103,033,677,632,948,091,
628,855,901,066,252,029,686,067,541,789,789,706,980,279,105,100,684,010,092,
737,052,901,909,940,851,533,118,358,609,489,930,366,615,847,504,448,808,708,
373,624,948,432,542,201,406,162,783,934,198,293,104,871,399,870,017,223,618,
413,817,574,877,019,500,383,641,836,741,148,660,399,163,652,406,297,011,005,
737,139,688,247,474,394,481,276,143,752,940,437,080,830,675,937,833,661,992,
990,047,223,947,782,703,347,887,565,782,137,285,926,053,963,868,700,684,273,
006,229,792,293,797,360,685,778,122,226,927,429,307,920,917,381,145,473,114,
273,339,870,480,104,316,604,787,058,661,369,717,065,892,904,103,300,163,485,
264,243,007,784,004,078,216,746,312,804,255,595,412,625,400,176,080,088,226,
549,564,987,758,778,957,678,754,654,306,818,810,417,898,292,828,424,758,245,
780,318,156,265,823,473,671,742,859,213,882,754,011,803,851,152,907,373,746,
475,862,366,981,070,766,529,912,941,875,412,435,195,795,875,740,022,032,257,
618,347,628,789,927,602,788,796,889,003,446,975,852,453,972,153,514,267,744,
387,514,535,202,402,249,088,662,768,305,421,089,252,863,325,042,669,257,176,
803,101,436,258,672,521,741,414,363,912,167,839,533,131,663,064,632,391,560,
508,987,142,969,300,647,503,134,451,318,447,731,708,670,370,916,050,525,074,
993,928,972,962,689,246,741,726,473,031,556,160,539,942,708,612,935,465,504,
975,220,746,914,641,829,690,766,214,621,053,333,515,522,280,300,887,930,611,
576,096,230,312,943,522,106,942,347,077,890,010,747,075,231,774,760,856,389,
319,042,974,728,970,519,989,465,395,747,186,091,447,327,732,934,651,061,145,
282,683,145,183,036,699,910,614,910,798,385,875,858,534,040,491,391,926,613,
066,579,322,747,526,584,818,573,375,299,988,050,410,830,306,484,340,140,681,
598,207,262,613,600,170,624,370,293,619,651,051,811,463,211,077,367,786,952,
235,031,850,799,852,255,740,294,511,897,083,720,397,085,151,189,690,842,076,
554,404,149,315,824,619,457,679,412,184,765,760,345,900,380,033,286,570,195,
386,150,748,597,187,572,309,646,138,374,614,621,070,200,681,009,402,195,526,
018,157,909,390,607,332,332,194,132,049,508,686,857,862,580,505,574,264,984,
525,671,993,819,355,311,454,111,393,694,652,032,399,667,832,175,141,933,211,
999,420,905,221,569,079,433,768,882,920,457,729,853,083,688,280,552,011,488,
146,546,200,742,954,692,351,535,898,764,975,837,835,010,635,899,021,440,276,
162,600,305,051,451,729,407,688,953,235,511,417,197,890,435,037,879,427,486,
764,201,182,898,892,371,369,088,271,944,960,044,153,528,065,397,354,597,115,
183,268,286,334,146,412,289,743,617,854,588,633,845,857,492,625,121,087,249,
636,469,891,245,857,255,971,541,402,333,290,144,479,075,059,867,049,254,318,
417,896,768,934,550,153,303,431,189,480,899,184,746,907,652,617,538,030,736,
138,117,124,897,086,034,528,986,856,039,285,564,897,885,183,465,524,117,892,
132,185,263,027,567,093,176,856,528,494,222,064,959,182,515,579,620,609,002,
583,347,937,124,821,537,879,269,871,847,046,482,992,282,749,928,541,098,965,
222,284,560,296,804,985,559,833,510,305,283,712,694,178,509,322,958,217,545,
477,908,092,719,234,298,446,562,123,631,915,206,673,014,575,890,664,344,357,
127,332,503,618,427,917,660,730,669,660,659,567,313,482,787,376,954,631,185,
348,145,593,568,764,766,071,214,275,663,875,724,499,088,733,185,135,627,872,
066,389,107,070,193,408,830,511,383,125,228,917,935,878,828,237,594,791,362,
420,490,289,882,058,922,172,923,859,102,721,361,754,898,945,469,718,557,000,
214,397,943,803,174,161,252,676,630,922,974,331,726,831,027,079,503,170,469,
363,734,309,956,593,847,363,345,381,985,848,877,927,709,813,631,142,747,260,
774,605,498,695,880,253,136,039,181,504,094,356,928,655,898,839,253,446,031,
420,981,242,596,997,167,316,368,496,744,810,143,296,669,875,361,594,491,446,
755,137,965,820,255,686,043,661,754,004,453,419,038,589,942,629,539,085,412,
422,125,196,264,703,894,982,816,850,887,167,644,364,352,624,007,069,620,128,
429,084,538,250,114,960,959,714,115,648,005,617,131,810,893,317,476,237,553,
191,774,859,276,824,036,130,883,743,742,739,403,327,541,954,710,047,647,860,
886,371,678,840,671,420,657,720,963,412,777,479,441,881,545,313,467,251,573,
818,406,219,880,807,540,080,163,896,590,923,384,504,359,740,734,300,802,744,
610,217,580,492,501,899,577,432,877,924,406,029,394,435,820,246,502,497,259,
737,584,264,641,442,908,237,173,173,411,357,857,420,588,507,098,262,231,844,
287,325,941,507,548,826,283,992,617,406,454,047,087,781,452,813,487,072,445,
159,901,343,513,179,402,422,249,676,645,408,561,362,661,203,722,068,265,108,
221,161,541,895,272,561,704,324,211,263,779,686,596,696,705,456,239,047,937,
307,085,812,499,866,555,809,066,008,869,524,979,812,290,221,229,851,962,311,
051,454,476,740,640,584,992,662,593,887,244,659,853,333,153,173,821,300,769,
395,548,222,027,424,978,745,392,045,465,552,089,925,375,795,759,467,104,271,
518,479,241,857,661,948,019,656,946,491,692,674,283,511,239,415,254,628,826,
323,133,821,903,300,684,328,291,318,880,284,261,462,329,916,604,824,610,313,
557,000,595,622,340,675,861,218,941,111,853,200,631,022,361,198,476,638,338,
551,122,171,513,521,929,346,980,195,161,458,783,878,985,416,646,586,961,068,
955,515,749,296,929,875,441,764,619,211,597,011,499,880,499,080,148,358,381,
266,512,441,140,325,598,591,513,061,419,796,699,539,077,797,474,994,062,000,
451,515,678,105,557,982,434,500,671,952,747,868,510,839,969,282,031,393,931,
307,884,237,571,009,537,172,162,717,572,950,326,515,939,741,925,526,185,460,
058,393,837,915,380,558,666,208,093,654,766,854,177,452,223,745,829,153,474,
097,297,303,646,901,208,859,135,949,925,004,757,850,054,211,994,245,646,194,
076,556,182,235,841,896,478,358,584,914,027,603,995,347,904,865,394,480,402,
641,148,895,302,090,041,850,683,590,769,893,324,804,471,336,264,056,875,907,
527,590,069,977,489,244,821,771,551,452,818,273,061,954,611,258,711,268,878,
398,414,698,041,576,003,539,823,027,621,315,747,762,389,837,150,453,570,613,
187,761,351,223,628,715,232,248,979,379,658,646,797,490,178,350,597,900,821,
858,509,756,098,927,991,121,510,201,733,141,775,076,031,146,508,929,714,466,
080,584,028,962,408,215,918,572,175,932,246,379,071,750,612,979,676,265,584,
338,806,948,704,969,042,473,883,727,969,510,231,732,349,528,709,202,103,675,
737,927,193,898,993,858,615,461,901,524,773,978,631,906,320,955,880,127,213,
839,898,621,903,291,517,758,554,465,833,623,796,848,775,597,438,981,712,206,
282,322,481,121,071,483,577,179,117,165,131,086,534,126,686,226,381,527,076,
213,676,552,010,200,328,464,941,033,584,650,456,338,413,830,672,458,448,536,
682,892,381,099,006,969,689,533,945,649,016,385,403,778,444,945,727,579,943,
585,328,980,903,190,664,357,585,698,320,122,747,568,018,615,058,371,510,261,
594,722,147,273,812,481,057,505,388,410,510,207,881,374,355,006,089,947,338,
832,671,321,888,775,279,155,518,090,487,885,133,429,920,034,227,589,817,613,
925,005,783,138,889,057,949,605,692,705,686,417,793,958,550,838,338,650,609,
936,118,227,710,929,339,242,071,355,750,408,264,073,587,703,498,124,912,455,
873,387,946,716,712,430,638,894,152,476,514,502,321,159,833,027,809,446,197,
711,018,755,290,780,019,864,485,860,470,955,165,709,877,263,383,097,153,555,
486,945,078,856,136,158,756,858,623,326,998,250,327,811,636,831,561,897,471,
679,905,950,399,446,140,242,658,428,455,486,008,047,687,424,447,018,049,894,
033,736,707,067,749,108,960,335,897,161,316,856,670,695,857,755,176,208,628,
020,010,952,382,046,063,381,956,552,717,896,275,255,713,402,540,644,353,883,
010,496,387,703,189,314,234,979,063,111,987,985,774,248,338,396,435,294,804,
839,808,105,864,282,166,373,758,903,362,669,669,622,376,679,326,221,765,124,
990,641,835,067,326,548,905,171,392,736,462,526,696,510,452,732,864,439,431,
105,018,886,555,684,943,278,607,969,656,032,322,446,464,134,987,835,510,795,
385,683,828,903,197,303,730,395,678,201,918,589,322,190,081,722,178,557,581,
670,298,814,746,114,593,625,875,889,551,238,814,190,256,298,928,143,516,101,
736,203,665,286,724,989,922,964,480,021,436,768,373,849,664,002,440,929,705,
551,815,814,106,037,112,338,568,439,582,924,463,838,774,502,229,668,342,621,
567,243,475,589,897,376,201,731,102,475,254,349,324,442,632,376,477,285,308,
146,975,972,499,805,700,667,260,401,046,611,376,477,567,311,248,066,357,868,
643,285,972,773,841,036,546,660,471,280,365,874,333,014,610,659,182,465,991,
602,312,053,128,615,812,931,687,095,507,498,375,849,529,378,542,225,647,421,
647,575,940,758,091,701,246,240,173,373,443,585,480,175,394,783,813,294,090,
525,214,996,453,112,116,791,960,921,497,071,156,112,472,565,331,021,185,747,
753,242,977,478,943,168,003,873,558,910,221,502,125,646,768,323,600,358,343,
751,724,929,083,347,998,136,500,041,102,237,435,039,098,374,898,475,574,430,
222,725,841,657,172,144,954,148,392,520,893,714,069,335,384,451,845,176,196,
042,209,474,323,405,690,119,332,766,710,944,572,462,548,154,237,369,870,561,
167,662,407,618,090,056,062,508,123,250,456,960,319,844,508,394,093,596,691,
642,433,776,122,946,973,707,773,033,310,964,780,289,151,064,825,916,144,449,
932,400,132,687,577,438,281,912,916,662,553,746,096,834,969,396,319,017,462,
381,209,326,445,053,979,270,913,070,776,252,005,996,299,936,624,673,949,264,
673,906,497,424,956,844,811,988,601,422,897,781,017,296,069,966,999,304,855,
059,055,475,992,995,090,490,310,363,132,268,803,933,317,506,476,620,000,764,
138,870,884,412,093,827,353,685,388,087,025,162,328,832,897,698,321,645,453,
031,993,403,914,739,250,469,648,659,133,886,189,825,622,269,561,137,338,015,
478,377,190,564,753,911,339,110,347,229,401,868,914,460,787,408,300,334,290,
808,336,318,233,127,594,222,425,268,565,262,827,093,407,924,123,578,015,492,
582,403,708,798,577,068,346,488,507,902,057,398,276,892,747,759,342,147,991,
566,499,541,918,470,778,933,166,473,844,142,061,833,995,546,387,114,547,318,
718,630,117,372,005,029,114,841,162,747,695,947,061,358,161,202,807,286,319,
253,924,742,837,696,448,367,490,340,750,124,655,565,458,170,528,557,980,933,
774,850,952,827,332,333,150,607,227,722,032,666,861,358,095,208,075,910,964,
545,951,880,803,454,353,411,284,354,019,835,732,776,026,212,093,910,172,496,
413,084,877,869,924,179,679,519,580,136,227,758,823,201,840,888,819,483,558,
837,875,415,732,572,000,675,612,208,942,150,621,521,939,414,614,297,442,248,
809,870,486,220,709,115,433,919,656,053,879,507,658,367,407,906,595,763,014,
024,793,032,292,887,097,372,120,983,181,879,072,815,618,994,893,277,502,772,
082,388,013,923,175,300,780,537,216,056,962,337,240,696,961,330,774,163,652,
111,232,066,594,080,964,082,451,435,297,498,189,931,955,458,560,072,478,925,
934,639,150,593,385,717,025,840,907,831,550,797,131,041,773,271,775,018,727,
398,012,180,529,257,369,280,539,261,281,140,988,341,518,124,679,740,603,794,
039,751,268,936,373,466,230,201,002,528,686,067,443,957,065,361,947,495,166,
011,128,062,445,120,612,285,566,412,604,802,673,807,882,068,259,808,248,581,
741,781,685,508,195,375,414,732,708,990,053,124,470,715,913,337,104,175,693,
820,062,763,433,525,331,442,016,430,912,390,797,911,426,124,733,105,311,742,
947,263,783,204,426,763,329,064,688,147,974,508,228,183,171,043,412,450,399,
898,876,130,346,643,571,688,981,875,943,287,501,899,430,097,239,664,849,248,
687,660,629,678,238,750,470,967,229,660,274,277,240,715,314,345,674,245,360,
586,565,721,594,497,114,491,267,112,713,718,923,531,684,100,794,687,112,515,
895,123,195,487,286,294,555,701,589,665,198,353,824,284,141,023,666,809,679,
590,403,572,245,856,994,767,492,895,810,723,549,763,943,546,680,102,579,933,
453,637,196,172,011,122,915,883,093,831,760,790,817,551,216,401,261,472,867,
454,453,118,574,901,716,475,658,053,697,440,658,450,213,586,223,474,228,106,
598,341,853,823,219,966,934,030,343,450,806,912,732,977,157,664,182,994,655,
704,553,304,052,421,230,281,233,484,281,614,794,748,100,598,159,893,368,065,
952,678,633,643,031,223,428,218,448,806,862,088,030,391,599,133,687,886,613,
169,314,818,235,815,770,887,653,134,262,750,612,647,782,928,452,438,218,826,
696,488,600,784,273,450,836,316,355,291,493,924,873,647,344,430,951,209,961,
722,237,902,955,094,283,059,924,908,309,742,529,849,416,325,557,992,213,644,
190,992,797,538,550,992,017,748,136,709,875,955,874,388,256,188,154,382,324,
427,778,362,353,283,671,733,794,469,315,404,097,658,977,483,163,557,348,704,
359,251,580,214,475,161,126,398,189,815,784,554,088,418,130,682,259,462,811,
246,820,106,446,329,148,465,550,857,747,617,145,080,466,706,217,275,195,333,
467,643,786,383,892,999,786,194,415,280,827,483,673,503,284,693,377,618,725,
863,027,488,040,650,165,843,229,963,636,570,055,981,608,785,637,586,124,519,
590,196,413,047,053,433,307,987,285,869,891,477,936,429,733,767,139,453,718,
633,027,177,513,932,000,222,503,682,419,917,212,419,025,339,802,719,906,279,
180,469,488,852,561,832,699,028,694,290,790,118,629,994,666,045,861,637,428,
654,732,879,378,285,637,657,085,149,890,750,731,846,833,506,997,291,547,825,
060,872,868,001,661,627,853,489,522,211,796,850,219,839,582,222,778,568,588,
497,121,844,237,028,163,968,859,807,537,873,260,266,376,500,273,629,007,909,
273,132,746,555,688,657,053,867,425,287,446,751,748,489,121,976,133,934,327,
206,583,671,460,171,387,107,551,745,811,785,664,152,502,643,480,328,358,033,
411,475,044,901,994,799,264,470,342,994,006,877,123,235,234,145,192,690,992,
105,492,060,972,739,427,624,186,015,573,760,261,612,354,567,413,586,194,402,
397,450,450,329,742,680,341,020,377,180,800,099,330,065,153,428,457,832,038,
615,871,098,716,412,480,770,524,650,294,727,555,369,560,927,180,240,132,543,
037,941,268,861,632,877,512,106,511,932,342,015,065,075,443,369,378,871,737,
108,050,474,098,059,485,799,525,688,472,017,149,216,207,827,146,370,861,231,
046,749,521,778,883,722,951,457,941,235,217,178,721,662,460,086,296,241,180,
338,026,441,715,056,271,232,708,231,285,162,877,176,478,938,819,691,404,788,
031,844,486,957,653,468,503,784,318,606,923,218,819,494,766,638,862,726,660,
925,525,082,034,167,511,544,631,796,741,067,966,186,754,448,567,201,959,054,
425,894,212,884,873,575,410,625,054,448,518,646,661,518,041,685,698,330,044,
552,099,580,597,585,495,746,456,688,102,148,675,308,382,610,362,443,965,439,
993,227,770,364,466,734,404,262,939,972,198,820,349,888,927,197,460,133,716,
709,969,809,889,301,272,327,483,677,402,510,879,691,687,885,771,506,162,137,
353,124,086,500,315,384,067,131,807,191,717,504,432,716,925,991,265,512,955,
391,557,594,739,760,960,051,678,833,979,756,871,113,744,882,348,781,172,630,
729,473,516,542,395,490,980,951,197,025,175,079,354,585,960,879,184,990,014,
524,915,199,719,718,485,369,791,676,019,294,187,602,114,856,055,807,441,811,
898,596,050,804,460,436,470,791,321,888,421,689,337,639,907,352,313,948,225,
725,431,105,609,774,465,066,054,230,290,558,203,023,900,047,361,392,399,607,
652,301,725,072,300,104,027,050,800,212,921,857,322,870,743,153,758,705,401,
947,210,005,189,469,552,730,984,799,172,966,861,279,148,966,258,316,045,505,
991,484,111,120,938,902,243,396,099,870,093,052,281,510,551,828,624,135,788,
193,204,505,219,740,302,039,858,082,387,839,531,971,643,379,464,497,487,594,
456,581,614,985,427,648,939,721,083,563,146,811,650,887,304,447,060,893,700,
994,062,871,532,109,200,065,125,687,914,816,937,514,061,200,794,229,197,654,
506,966,548,984,516,249,129,061,233,568,887,163,470,221,237,029,651,412,656,
309,391,088,258,140,014,879,755,727,869,082,208,631,389,699,762,739,319,316,
335,776,565,998,551,655,376,465,726,814,085,386,539,247,909,547,925,296,771,
453,394,068,235,751,859,170,021,479,267,087,011,117,154,864,218,852,835,817,
546,375,616,930,039,127,458,791,006,161,181,886,540,915,748,075,304,696,971,
907,210,804,103,133,438,654,085,288,517,439,983,350,648,817,364,987,094,137,
318,713,757,365,931,559,438,710,961,196,651,783,581,003,736,942,267,936,402,
208,912,766,369,707,944,786,915,422,991,602,373,227,202,878,296,848,503,356,
070,718,902,501,546,858,490,575,248,324,065,521,190,030,411,593,286,348,262,
692,882,949,297,721,126,919,638,867,696,193,936,010,421,471,609,235,185,024,
482,316,154,759,633,690,007,959,377,740,120,943,906,276,998,566,905,723,990,
674,436,134,982,145,089,478,220,993,518,916,692,919,602,019,011,635,701,491,
953,988,642,676,680,294,553,036,579,687,353,952,994,055,095,289,584,629,388,
792,529,539,984,694,888,114,643,226,027,597,177,585,229,275,544,574,176,609,
766,267,980,932,140,511,194,181,117,080,325,743,764,421,543,215,465,633,442,
220,059,507,900,389,034,144,333,074,532,158,740,151,947,365,515,328,295,457,
405,715,944,076,562,866,691,494,172,525,337,234,129,555,111,229,925,262,195,
336,208,387,897,380,808,622,965,323,865,336,766,219,026,786,036,585,616,217,
084,926,284,867,435,013,772,734,831,998,419,881,257,135,976,982,335,660,905,
879,739,502,493,873,288,664,245,967,381,322,884,597,450,014,716,550,388,274,
599,304,264,372,228,286,705,679,399,463,643,582,281,224,295,581,990,643,721,
386,673,275,979,651,501,243,357,766,601,527,497,487,517,614,109,834,125,457,
832,901,544,594,122,953,146,651,151,211,157,623,906,443,467,512,581,188,934,
132,538,696,657,713,574,154,156,866,584,477,543,555,077,735,360,967,135,049,
345,930,667,811,764,677,817,396,529,884,870,134,696,450,639,398,046,097,857,
602,105,106,294,646,145,913,600,583,916,506,844,093,958,244,930,317,078,219,
409,065,695,734,352,283,686,819,952,938,293,501,516,512,095,278,695,527,060,
545,109,599,470,245,279,182,076,630,149,009,059,790,412,855,322,386,678,856,
817,023,693,712,694,521,535,713,363,380,342,689,312,177,497,094,654,562,772,
638,200,390,235,452,927,157,038,476,241,515,377,932,029,058,194,005,697,462,
230,293,438,456,370,549,700,511,408,795,844,816,958,097,437,038,578,855,772,
203,891,881,856,293,128,194,317,691,941,566,151,696,074,034,136,554,188,215,
633,165,138,467,300,113,453,378,251,383,717,151,383,627,195,823,073,576,374,
876,930,499,820,197,158,802,136,734,901,604,188,149,531,895,765,570,850,312,
779,215,292,943,870,493,356,594,582,633,936,467,858,729,140,282,115,420,636,
580,115,179,755,803,939,500,386,344,067,132,447,713,013,962,088,078,012,338,
041,902,143,425,821,544,820,260,966,102,917,992,752,317,835,073,477,074,998,
862,020,008,074,023,358,612,696,593,612,672,834,323,294,230,252,877,366,780,
350,163,250,715,288,585,052,335,759,767,495,614,971,677,525,760,374,028,791,
980,942,838,144,872,618,894,959,716,118,121,800,842,573,233,519,308,271,138,
585,829,794,980,435,429,916,227,321,874,557,897,654,895,393,871,935,194,679,
698,931,604,524,714,893,855,776,315,999,107,397,078,043,730,602,760,739,639,
147,788,963,896,133,841,379,291,200,731,456,215,415,904,991,449,773,416,146,
788,969,443,715,274,152,551,754,736,257,671,228,137,186,651,396,819,864,525,
964,547,187,225,207,634,699,102,742,766,509,609,426,861,373,566,010,315,094,
115,503,044,549,054,039,594,717,504,220,473,718,789,799,175,394,682,717,530,
701,941,523,527,247,341,012,863,549,351,368,617,844,976,881,031,712,824,387,
378,798,696,383,914,873,089,927,861,970,995,093,794,876,130,950,120,643,360,
374,451,230,713,831,990,154,152,055,659,919,741,599,804,342,753,540,945,139,
089,675,574,934,742,376,457,765,350,307,868,113,780,741,979,362,232,776,899,
989,646,533,258,242,678,695,811,487,316,510,848,119,516,765,670,155,778,455,
806,414,135,908,886,034,060,280,229,630,857,504,288,883,938,925,278,295,931,
462,125,892,900,604,681,556,701,238,876,925,949,444,725,354,764,664,745,782,
260,202,439,826,696,344,798,369,338,400,009,293,257,327,233,755,745,630,408,
492,801,476,538,990,713,190,241,071,389,684,579,510,642,717,767,416,182,089,
762,803,960,326,715,090,129,703,801,254,692,794,620,169,108,526,486,582,609,
373,515,931,841,823,229,178,500,538,016,136,236,176,978,801,066,512,171,207,
264,384,210,794,415,385,337,474,830,498,643,985,866,857,620,294,705,432,689,
713,825,041,827,882,294,234,246,744,470,232,814,427,513,044,633,290,684,358,
352,238,331,933,460,739,329,356,047,444,448,841,634,099,208,951,143,175,152,
653,521,414,860,632,081,048,258,648,569,517,712,659,664,513,063,259,960,800,
772,670,536,022,335,111,204,900,438,273,596,012,677,856,494,972,878,852,697,
755,035,487,690,561,143,930,113,632,617,758,791,734,853,872,530,770,395,001,
181,531,129,127,938,753,094,984,313,096,949,993,294,480,954,833,982,632,068,
237,191,147,128,352,812,366,978,172,658,030,346,905,973,223,265,961,784,048,
428,966,926,734,740,120,520,989,936,345,466,551,945,574,256,773,413,431,633,
144,214,715,437,494,046,665,501,740,999,991,620,524,884,226,159,929,722,168,
812,690,910,269,519,575,755,560,178,028,440,480,226,293,332,420,609,331,158,
808,500,697,493,246,543,862,690,694,953,868,373,346,250,419,566,039,546,067,
796,688,080,981,379,504,152,037,341,276,567,197,903,685,215,875,083,949,058,
679,973,957,728,409,579,869,346,771,282,860,431,845,523,814,918,985,989,933,
021,241,098,869,819,106,297,215,370,023,605,054,031,498,874,083,763,084,691,
155,998,613,007,323,431,301,747,546,436,388,512,578,257,304,109,958,441,739,
569,498,492,805,193,051,076,499,578,830,856,099,477,061,446,095,445,034,968,
431,197,185,510,900,776,602,362,147,055,579,301,708,884,634,452,731,271,671,
935,905,163,991,092,919,453,657,396,755,843,416,069,557,510,546,742,968,285,
247,169,203,034,095,414,918,036,564,690,536,753,562,221,542,397,276,902,782,
387,841,106,818,191,487,587,549,166,438,598,106,810,949,616,311,815,530,608,
033,540,874,072,693,825,555,797,279,833,590,868,834,499,961,342,516,364,617,
499,126,884,170,784,765,367,013,415,643,150,043,252,342,423,746,814,898,829,
058,515,867,988,177,336,256,010,109,473,177,065,158,017,344,232,966,233,261,
962,111,418,596,025,227,672,560,233,699,818,017,836,523,807,145,587,816,138,
996,452,393,455,914,616,982,146,336,091,726,415,312,154,787,453,270,482,071,
503,570,053,379,539,228,747,902,248,303,187,357,159,789,320,619,537,191,539,
345,447,266,194,081,322,042,548,456,897,495,484,748,525,397,803,235,617,112,
820,256,388,367,525,962,213,019,913,908,976,293,031,831,671,549,303,353,958,
684,962,620,472,592,596,923,306,928,750,857,090,308,208,180,424,013,454,370,
905,809,038,890,394,051,939,423,603,199,748,737,344,403,189,246,916,939,721,
931,648,272,007,676,732,815,845,592,510,964,649,459,658,320,997,200,493,853,
562,735,029,485,855,327,733,413,187,943,765,439,976,903,114,906,160,094,032,
073,303,496,608,584,167,825,166,276,828,940,168,696,957,390,432,615,171,214,
712,815,190,314,997,199,169,280,268,806,633,991,600,311,731,762,901,243,009,
482,741,402,096,844,310,555,536,056,503,823,199,057,120,727,188,613,599,607,
373,584,752,400,104,537,862,302,904,689,609,926,817,678,696,163,310,419,580,
959,536,758,103,275,436,962,835,465,112,404,482,521,885,676,220,427,946,044,
884,486,453,784,571,426,039,318,019,821,933,583,819,540,055,091,771,414,508,
712,676,582,769,133,965,516,239,111,328,611,489,896,258,597,684,653,831,103,
582,870,727,173,407,058,558,333,483,364,367,620,460,127,136,767,723,463,579,
395,654,950,276,374,896,398,034,364,987,802,870,475,672,461,119,424,803,073,
011,206,977,103,240,584,202,901,779,644,031,556,615,067,589,169,773,102,471,
607,222,995,579,315,311,840,130,111,645,300,168,367,132,821,698,863,283,628,
450,801,027,510,334,312,672,844,694,894,145,049,238,571,400,937,271,558,356,
288,359,699,768,623,775,955,994,269,938,617,495,328,327,347,541,804,741,896,
672,163,621,396,286,307,971,878,729,585,358,782,569,354,538,445,944,378,405,
077,591,161,995,675,325,344,715,468,860,565,512,085,376,245,861,916,919,926,
283,431,111,591,393,567,963,805,095,341,153,255,128,095,146,120,505,704,207,
303,509,388,059,758,738,409,172,243,828,356,032,936,497,217,158,254,334,236,
842,118,704,102,619,738,785,903,231,044,395,567,678,986,873,717,279,606,987,
013,265,889,189,249,758,882,314,031,294,547,401,045,264,420,091,201,472,728,
076,364,778,850,292,430,662,800,699,585,980,428,659,882,962,308,617,434,238,
704,482,775,244,311,837,440,070,609,386,026,776,398,599,136,619,961,179,292,
978,571,953,244,119,218,166,705,198,222,791,629,319,823,768,018,705,804,943,
408,910,105,042,960,207,819,224,012,047,737,314,794,896,747,085,454,300,488,
285,491,715,064,934,985,721,301,057,761,735,705,849,483,416,942,951,285,989,
938,567,484,245,329,179,144,926,386,331,065,766,035,909,929,045,788,124,943,
007,705,787,183,699,301,786,308,931,707,764,017,933,652,281,058,922,660,081,
455,141,800,019,053,033,731,221,110,913,684,805,292,900,204,488,968,491,431,
151,948,528,713,731,613,863,665,525,164,763,115,705,308,256,869,073,214,396,
572,094,472,504,782,018,134,266,985,625,705,393,698,414,902,932,172,890,396,
585,497,362,688,059,173,966,520,499,063,711,618,745,501,235,610,986,918,926,
582,467,603,681,605,514,945,346,731,605,784,681,760,486,334,281,862,327,613,
648,531,608,853,439,300,266,926,820,072,668,850,337,188,512,772,520,734,132,
758,955,689,359,007,700,096,061,989,591,878,484,469,660,013,401,325,004,720,
440,271,073,113,714,744,743,130,319,927,164,006,754,705,226,672,163,048,285,
016,782,644,083,342,344,609,602,400,464,088,109,754,288,181,072,757,881,933,
695,629,797,122,709,226,457,998,622,981,388,020,860,075,088,803,655,243,003,
877,166,791,742,923,319,715,437,303,365,037,592,938,327,260,766,357,522,269,
376,651,624,614,887,869,548,521,888,891,754,872,855,076,573,095,444,897,980,
588,637,533,573,555,339,346,679,438,355,401,543,219,690,237,528,752,069,303,
085,654,435,188,545,253,077,838,085,994,215,437,064,680,570,638,562,032,213,
727,963,212,033,276,550,423,362,482,288,568,127,997,627,505,309,509,595,652,
297,934,914,788,666,621,720,147,519,737,642,867,003,992,131,867,987,570,319,
157,050,540,252,915,510,698,901,606,977,580,174,902,709,592,553,111,758,732,
408,383,485,556,583,207,638,597,677,909,973,070,778,397,649,354,511,428,148,
490,636,669,703,454,220,769,875,213,915,927,485,242,875,689,561,716,541,485,
859,112,977,759,959,651,456,865,090,438,378,795,985,209,846,940,787,726,349,
336,039,415,795,990,486,552,088,688,950,171,245,354,371,970,304,329,732,379,
211,037,699,724,368,217,706,013,734,978,282,845,067,690,639,776,438,606,513,
700,238,980,578,608,423,235,782,135,070,720,772,331,334,173,457,958,931,216,
195,716,491,024,236,782,471,825,106,980,535,294,813,767,978,160,061,878,501,
934,147,583,055,389,984,204,568,056,474,877,729,872,115,375,219,461,890,355,
597,527,627,995,902,328,567,690,756,545,783,834,487,433,262,972,992,159,365,
249,619,396,076,288,406,012,644,533,618,498,815,007,465,206,157,145,787,283,
398,972,362,527,407,281,311,166,428,054,401,761,461,236,591,933,757,377,862,
086,280,527,765,977,314,989,482,688,173,564,145,193,051,816,739,020,337,511,
254,590,727,783,761,601,107,041,213,787,995,708,922,884,249,096,693,980,426,
042,225,393,266,881,673,268,336,370,608,477,655,642,477,525,829,109,598,859,
708,755,965,812,379,862,309,534,506,144,926,894,345,959,167,709,816,964,662,
114,054,639,525,554,651,530,201,099,833,367,167,275,647,748,964,832,073,708,
437,971,924,393,814,026,826,194,360,385,492,626,912,403,155,340,143,915,627,
042,447,380,448,213,662,285,420,919,463,348,250,934,772,777,197,053,994,712,
702,849,970,091,957,571,916,306,970,005,998,195,391,393,632,763,581,121,947,
452,875,427,104,984,542,241,173,906,479,004,570,701,381,177,514,782,615,653,
921,970,919,006,429,399,499,193,531,578,955,963,535,598,635,965,592,024,287,
620,779,999,127,549,571,553,634,781,112,391,840,801,322,528,892,137,787,798,
030,182,916,262,637,676,846,208,231,247,717,403,080,962,619,870,333,874,496,
659,496,250,526,180,150,856,791,814,216,952,850,628,161,990,877,962,840,145,
022,216,390,377,778,404,927,371,302,992,750,595,194,319,872,986,756,429,744,
273,183,648,481,683,991,671,212,834,742,553,266,578,287,586,325,508,726,323,
021,132,183,690,406,073,453,014,551,377,129,697,147,349,551,157,142,838,075,
049,409,754,423,111,663,567,060,112,956,895,021,950,958,228,588,143,513,677,
728,326,459,074,073,579,612,342,692,006,090,951,067,001,166,135,162,811,058,
659,709,462,649,230,823,288,586,206,053,323,307,208,659,945,427,100,848,561,
873,509,709,650,987,232,752,358,876,795,965,323,885,407,328,885,918,303,545,
006,324,099,699,132,578,700,703,723,941,281,633,448,711,728,410,832,589,247,
831,606,615,946,636,770,697,954,017,707,752,387,257,865,553,536,650,582,055,
129,775,662,330,375,645,348,589,711,549,701,408,936,446,016,908,893,085,015,
930,568,703,670,059,911,731,073,125,495,995,294,817,992,132,835,290,914,215,
623,219,984,459,301,058,621,348,411,451,627,607,183,289,073,402,335,733,390,
098,282,287,884,112,157,071,540,262,881,554,528,490,609,391,337,969,571,971,
172,168,754,751,847,521,748,731,155,085,951,894,483,812,003,113,404,292,614,
006,338,262,289,447,034,515,831,054,734,324,598,897,551,313,803,757,003,935,
037,236,226,022,109,123,980,518,212,437,759,049,255,547,634,856,400,105,181,
069,775,438,927,549,912,090,161,782,277,337,757,645,438,447,633,302,692,164,
219,718,563,538,333,499,910,611,555,420,436,500,782,796,406,990,651,239,497,
854,415,788,629,864,740,509,048,495,444,150,430,839,154,555,544,326,551,760,
036,676,977,646,571,291,595,832,174,014,427,877,512,850,535,053,948,007,868,
905,949,199,232,939,917,151,338,263,770,540,016,187,333,238,354,738,673,887,
592,919,599,211,557,468,969,791,093,496,924,929,044,725,064,120,108,752,198,
409,402,404,561,888,018,637,742,600,646,256,298,745,467,021,495,577,688,573,
280,593,021,744,786,790,575,404,153,378,075,265,266,963,353,584,786,773,347,
224,115,481,536,982,333,192,063,371,757,141,917,457,251,769,353,283,456,012,
072,456,353,176,984,325,473,623,245,380,498,188,699,200,811,201,601,132,758,
149,382,478,446,008,713,026,050,935,951,711,651,471,614,500,296,889,180,712,
488,252,228,307,150,565,220,659,803,696,457,096,575,262,650,063,597,474,402,
212,292,072,209,533,164,414,982,184,960,374,828,963,266,057,420,843,346,956,
345,019,223,112,845,890,404,823,914,255,405,827,454,399,651,665,108,799,544,
947,963,230,281,904,618,530,138,270,068,054,288,607,150,100,006,234,700,393,
899,438,654,256,555,367,040,878,202,973,461,547,658,510,918,027,275,239,721,
210,696,991,038,970,274,415,618,562,810,840,417,744,815,528,394,886,787,865,
886,628,980,561,471,847,224,212,366,775,419,468,295,447,545,722,912,359,118,
374,315,881,497,817,724,478,005,873,905,779,094,305,561,628,906,657,618,882,
742,878,437,171,147,314,579,447,489,340,664,212,730,731,558,839,799,930,564,
088,298,377,396,366,809,806,350,972,723,155,539,380,795,832,238,194,348,625,
391,457,166,249,393,168,135,875,068,447,835,523,825,715,114,893,220,321,545,
245,408,823,450,568,239,656,197,805,585,176,144,567,652,558,669,372,974,844,
445,207,934,522,608,132,441,451,649,033,214,791,689,151,693,388,112,729,427,
944,783,828,775,393,919,226,406,026,953,496,153,595,355,827,241,827,948,926,
797,577,666,347,388,439,195,923,414,953,156,574,021,533,549,261,120,565,286,
088,604,002,433,839,451,684,722,182,427,351,056,409,585,324,013,790,709,896,
926,442,874,352,840,635,164,721,641,572,543,281,238,010,811,825,976,777,507,
011,493,842,651,850,622,549,870,432,735,131,470,389,035,187,066,037,096,365,
128,365,442,257,376,107,687,924,131,323,791,252,381,924,345,886,031,140,528,
508,302,059,341,490,281,069,823,829,308,988,707,782,679,260,616,891,071,310,
486,412,197,499,847,669,602,811,683,407,708,688,675,843,032,923,739,552,072,
014,720,674,039,837,957,029,624,781,963,205,505,654,044,262,521,868,784,923,
416,932,196,132,786,527,950,388,398,827,030,615,354,055,947,965,054,391,753,
386,530,967,933,032,234,511,903,764,800,746,554,506,238,144,763,956,070,205,
205,541,427,877,830,793,867,376,574,668,379,284,415,832,704,738,583,159,964,
765,949,719,233,486,029,628,880,743,431,894,409,168,440,442,769,081,674,695,
980,011,459,688,130,642,778,833,345,231,044,115,685,906,555,802,447,230,150,
180,360,425,788,516,208,914,994,020,994,166,413,192,378,162,618,954,747,793,
423,030,052,644,257,821,394,660,883,979,877,989,928,081,923,016,271,541,535,
147,703,368,408,747,294,774,083,242,117,413,245,479,101,309,292,791,809,011,
976,557,676,422,817,398,624,508,669,418,358,138,319,831,965,795,713,284,500,
339,172,707,204,694,248,578,904,552,863,696,028,891,923,501,596,761,382,903,
311,114,259,837,662,358,115,658,857,276,752,398,555,901,049,455,654,254,117,
545,685,023,894,548,526,859,754,972,437,747,150,798,461,043,411,442,952,831,
447,800,850,492,498,643,514,972,126,741,809,622,077,865,255,895,135,273,227,
039,832,183,910,820,122,138,509,943,676,445,790,363,091,200,328,457,699,106,
859,669,233,363,295,991,471,589,962,453,698,135,779,799,453,796,008,643,497,
539,621,098,406,823,277,394,703,950,663,816,845,056,860,997,052,353,934,318,
143,036,726,726,354,121,462,868,956,671,249,347,025,210,622,009,217,089,419,
920,230,330,067,041,182,839,030,659,345,252,331,644,706,085,335,888,232,318,
439,821,900,747,090,189,336,469,497,249,851,971,540,355,060,375,785,429,035,
643,462,638,621,478,033,239,297,456,741,626,869,447,172,104,464,259,583,769,
234,605,213,143,625,270,307,438,321,957,854,739,013,916,022,730,339,036,077,
865,469,297,792,775,948,091,050,618,900,782,382,949,353,495,239,066,308,747,
511,831,816,827,826,111,711,181,848,588,273,415,944,371,337,690,210,567,251,
698,091,153,538,572,262,578,755,415,354,583,500,967,870,458,757,058,484,295,
611,707,600,572,599,732,027,692,298,983,042,125,672,386,348,965,096,298,479,
358,829,289,496,819,797,091,600,719,071,630,754,215,370,700,942,187,796,780,
272,605,516,439,768,549,658,093,524,000,592,027,489,696,241,021,945,827,798,
704,957,522,068,842,307,886,240,612,157,352,863,271,099,297,966,489,816,988,
832,079,455,157,623,944,163,123,020,627,865,281,612,981,331,972,501,037,074,
955,300,544,228,708,702,019,232,151,799,641,721,152,275,664,480,338,469,538,
616,593,308,977,653,255,760,060,822,451,170,970,568,392,139,745,196,607,383,
422,699,736,747,893,693,759,641,269,512,610,868,073,518,938,362,621,638,423,
497,272,127,598,259,629,435,408,864,565,607,483,495,345,240,979,907,948,967,
404,851,207,025,910,457,985,829,797,962,525,980,588,139,813,621,158,446,911,
167,574,403,780,318,948,652,237,945,724,633,393,399,353,030,699,223,494,890,
444,845,582,435,063,982,994,011,630,514,983,794,068,856,528,285,417,310,214,
139,898,877,202,685,896,494,984,100,155,318,458,099,551,528,667,625,013,908,
395,184,218,593,258,183,890,328,585,907,367,836,373,562,250,425,410,907,223,
558,478,112,337,239,670,576,296,631,718,849,837,370,184,151,582,725,416,065,
400,665,002,062,471,608,063,320,164,143,615,245,737,424,091,606,908,117,226,
746,084,906,041,107,321,630,121,486,758,287,246,690,450,396,067,098,301,526,
141,263,470,464,970,447,823,606,305,992,116,158,474,287,458,705,798,912,040,
440,209,401,295,891,771,019,775,160,514,015,835,658,298,852,300,892,295,146,
727,952,499,069,621,124,407,583,200,099,384,522,145,530,029,305,086,283,210,
336,625,572,713,781,676,734,554,467,081,172,265,633,846,067,336,537,152,127,
901,744,659,365,752,795,033,616,123,026,216,732,147,050,645,844,016,956,855,
934,919,229,166,984,131,862,023,975,348,781,369,166,664,544,632,920,925,262,
217,085,730,642,365,630,248,697,331,011,879,535,669,131,076,374,534,316,516,
760,319,949,109,848,157,655,801,669,730,952,076,228,000,792,772,206,878,152,
738,753,784,911,109,623,277,737,671,815,461,412,270,733,051,141,209,550,167,
222,339,683,266,854,627,886,599,348,794,218,616,956,391,420,440,719,801,460,
069,276,064,067,129,951,561,685,495,016,844,228,926,677,448,052,654,556,579,
296,817,538,721,333,609,754,122,915,133,910,070,829,450,033,553,460,851,660,
527,401,101,994,339,403,429,988,798,265,312,025,433,649,225,315,364,254,798,
730,453,919,666,478,516,274,838,339,372,539,853,961,862,933,560,520,381,716,
709,914,765,314,193,784,111,422,511,137,712,054,196,008,505,131,091,137,064,
331,902,655,873,928,589,292,723,410,576,128,884,591,892,011,053,514,419,477,
084,660,104,519,164,916,591,143,564,875,029,648,410,247,273,495,143,795,405,
207,930,880,796,931,333,200,036,508,540,820,414,817,753,098,405,364,024,633,
286,984,164,649,139,571,055,022,045,252,960,238,018,741,911,869,991,134,649,
990,106,086,835,224,367,831,980,626,064,228,480,669,019,638,452,830,918,854,
919,908,657,161,279,820,850,489,767,075,997,091,220,112,084,546,580,410,225,
448,384,314,275,624,116,185,704,228,044,360,684,878,258,344,162,294,884,192,
651,114,661,651,384,593,358,776,174,989,974,539,949,137,387,142,791,107,382,
207,149,489,886,481,778,646,852,604,660,131,387,916,748,709,562,726,222,540,
110,652,629,042,979,741,166,040,449,215,022,251,790,842,133,696,929,610,776,
585,413,644,840,622,131,615,151,098,509,380,702,364,648,115,879,289,331,715,
410,779,860,729,528,527,010,221,470,240,765,185,967,793,014,562,240,281,256,
432,519,197,568,641,969,425,252,696,531,692,595,370,588,443,450,139,099,125,
399,900,044,569,088,496,999,862,681,153,063,486,412,781,579,189,180,691,909,
521,569,388,531,123,103,771,999,299,565,481,566,774,626,434,599,429,437,833,
945,758,394,136,062,666,290,254,285,331,799,289,922,911,774,687,264,873,525,
350,483,421,112,779,637,801,597,619,867,950,612,000,746,207,339,788,937,803,
182,767,263,608,878,054,529,854,947,482,210,243,752,041,989,989,771,571,151,
138,884,554,599,074,071,903,164,944,920,219,292,048,426,477,508,400,214,229,
072,305,501,661,487,648,733,501,370,572,373,802,767,844,827,126,307,911,539,
457,504,773,471,625,021,443,965,734,987,582,774,339,978,509,078,502,312,264,
626,120,339,743,231,666,890,223,741,817,520,834,497,691,839,444,466,573,056,
684,131,205,932,742,133,821,347,338,733,046,201,268,608,272,336,139,187,715,
090,839,687,028,476,000,546,092,711,034,991,599,650,536,680,922,597,722,262,
033,779,125,551,423,376,983,803,021,701,641,412,930,994,462,810,660,442,282,
111,148,272,416,408,106,774,132,124,738,282,700,785,273,321,191,440,261,806,
104,731,567,535,890,785,040,834,744,143,558,933,455,487,157,766,823,067,520,
484,260,784,262,153,769,298,348,234,800,414,110,263,546,143,359,006,594,476,
049,388,541,306,880,449,199,810,910,504,604,531,879,036,124,190,654,192,532,
844,268,280,521,142,816,816,393,354,183,922,237,234,751,868,440,355,914,828,
433,520,892,557,708,040,848,788,874,542,377,399,743,845,079,910,369,907,523,
268,584,932,899,894,057,877,063,377,107,573,319,602,166,147,327,983,270,096,
559,077,196,736,268,385,535,559,348,019,035,175,028,231,045,171,948,240,134,
823,506,080,234,160,058,430,041,104,973,637,915,580,753,263,208,321,589,276,
283,458,195,748,682,263,888,261,472,855,649,258,933,447,890,403,542,375,378,
825,460,441,467,674,918,708,770,904,156,803,324,953,500,743,118,553,609,441,
051,802,819,022,845,264,748,220,131,765,786,015,574,360,829,015,641,969,064,
666,037,223,954,311,043,549,098,249,960,051,249,551,816,872,440,612,761,809,
765,151,934,828,744,793,822,744,615,312,491,738,214,490,732,691,298,256,194,
118,463,662,036,714,312,799,092,941,520,613,717,746,898,858,400,852,431,611,
298,759,134,970,069,661,600,625,328,294,398,639,972,588,544,440,423,863,603,
828,127,230,436,065,621,709,660,773,382,152,945,061,823,879,245,044,981,909,
609,800,633,762,241,016,276,511,045,224,890,259,377,909,651,400,781,129,688,
355,606,373,246,419,218,519,356,542,694,598,608,176,562,722,977,957,366,837,
299,778,410,377,839,254,751,115,489,941,695,412,507,420,467,337,652,508,602,
560,672,187,508,949,116,912,259,351,089,168,725,802,187,416,604,736,980,991,
012,361,098,517,619,912,392,990,128,854,899,540,787,777,306,950,869,397,752,
288,039,300,026,159,504,237,289,696,190,748,194,305,077,510,790,015,001,441,
860,356,437,751,437,779,214,914,642,055,531,619,019,710,332,757,352,370,319,
168,854,193,937,174,642,167,999,468,760,048,146,720,349,539,308,019,298,781,
939,460,708,919,656,439,908,146,038,339,796,525,125,640,017,086,888,516,545,
730,374,223,841,527,857,074,180,156,435,689,436,595,231,669,996,616,686,177,
429,463,943,623,974,370,165,226,257,945,409,098,978,952,296,253,930,320,202,
877,466,725,811,040,814,650,838,692,537,838,011,676,098,733,816,113,228,715,
884,066,404,918,123,879,708,180,038,881,050,527,997,011,594,401,140,176,450,
085,022,528,280,471,581,084,547,346,458,159,029,234,346,778,087,945,948,058,
196,732,896,328,002,588,592,555,134,298,334,992,686,171,933,503,151,085,117,
645,542,047,216,570,253,402,967,798,984,193,517,052,948,464,729,223,097,698,
211,069,656,103,574,994,303,596,721,539,184,450,486,141,411,384,769,536,383,
412,198,075,445,989,732,399,357,515,510,627,212,216,510,455,018,278,268,736,
109,022,326,846,094,663,889,711,645,271,781,198,041,831,212,340,831,286,630,
931,376,185,069,272,908,547,793,925,658,542,746,343,091,752,076,288,450,574,
543,776,862,126,201,613,210,039,600,535,608,903,043,461,829,984,377,203,133,
172,103,165,991,545,246,474,775,392,575,674,513,728,297,357,541,690,372,939,
558,437,627,585,763,854,457,058,731,215,337,936,862,125,938,385,654,766,585,
987,114,923,305,055,984,585,539,050,447,951,110,878,591,741,710,704,633,361,
419,424,261,923,882,255,641,099,910,323,760,751,735,117,106,818,989,635,757,
133,486,945,438,153,423,049,233,417,192,462,398,649,373,117,218,165,087,247,
081,019,581,342,650,004,854,311,400,457,229,042,732,665,518,622,317,748,275,
251,612,188,759,292,037,373,412,738,677,645,275,811,578,255,504,414,819,928,
886,603,938,078,582,578,707,385,475,925,743,782,525,505,478,888,741,307,752,
706,759,723,409,554,015,292,823,816,273,837,999,599,611,193,066,601,140,961,
867,009,358,809,582,873,506,617,878,883,439,052,391,874,112,074,288,062,848,
220,197,904,671,314,310,700,928,042,031,646,902,077,964,761,091,251,547,991,
556,342,473,328,030,765,500,947,424,261,290,880,466,215,525,591,244,189,101,
786,171,879,286,534,408,039,935,948,009,666,360,754,167,469,596,878,437,275,
879,598,961,265,065,237,183,425,419,382,837,737,240,560,227,498,846,723,711,
954,627,618,554,792,526,902,520,703,019,000,474,326,203,088,984,772,910,749,
697,031,039,479,112,822,752,199,161,254,330,699,863,142,564,317,683,553,925,
034,457,332,587,825,696,966,765,329,482,745,780,681,157,265,297,668,796,900,
861,196,530,292,359,483,196,669,652,850,492,930,493,882,037,371,325,852,603,
426,871,357,410,575,370,684,701,830,718,942,398,647,987,959,695,136,816,058,
010,653,997,201,968,856,448,534,260,017,645,116,393,695,674,998,437,200,889,
148,619,330,638,183,596,721,737,911,003,965,459,807,647,957,393,086,345,082,
093,609,119,791,676,244,342,548,911,594,686,276,876,823,827,585,221,364,963,
732,691,839,638,300,564,654,085,685,348,039,180,530,813,227,288,615,299,914,
537,226,706,641,321,054,674,446,361,207,329,899,725,802,281,391,180,160,775,
687,209,310,655,249,461,595,787,837,446,214,089,387,431,318,149,940,355,473,
844,173,119,243,793,699,360,161,655,030,626,982,725,453,025,002,012,053,023,
061,313,547,382,593,615,330,512,322,732,951,562,409,901,779,996,294,470,694,
765,549,007,664,726,767,717,310,106,997,609,434,890,507,539,014,472,889,858,
513,439,429,077,097,000,749,207,172,493,698,934,458,843,608,524,147,575,018,
198,209,362,849,316,319,232,632,891,666,327,677,653,583,453,006,726,171,574,
232,576,269,883,309,718,572,231,508,145,913,196,618,752,815,847,962,616,691,
327,160,907,417,440,576,073,999,300,558,715,641,918,476,071,442,439,225,774,
110,301,819,293,012,092,230,341,442,021,651,331,641,653,789,576,508,936,228,
884,074,982,765,604,580,173,579,313,541,849,196,771,703,420,835,595,265,277,
757,377,359,175,735,713,785,486,893,810,695,862,788,991,174,106,325,595,579,
582,355,697,394,635,499,569,953,098,508,094,658,221,368,197,905,850,610,233,
720,731,436,344,221,706,100,058,214,054,488,685,357,855,931,055,889,672,662,
291,931,861,662,457,703,239,062,381,250,035,670,436,270,201,738,121,073,929,
083,387,298,025,465,165,937,514,320,306,473,962,629,477,505,360,483,225,805,
506,153,694,025,113,167,125,585,553,638,106,402,223,053,654,578,809,982,823,
220,770,763,243,651,390,105,522,688,730,951,375,934,581,550,764,185,601,338,
906,549,177,491,210,435,936,776,434,781,880,515,399,116,033,914,373,148,160,
752,579,386,444,843,779,488,322,252,121,377,459,606,214,757,905,302,180,510,
504,644,260,510,455,678,055,264,838,142,381,530,165,217,285,190,099,653,584,
047,837,529,182,864,883,584,698,934,982,491,688,307,532,392,456,233,474,547,
004,687,283,955,653,514,144,277,212,949,182,447,327,788,440,751,034,555,518,
401,188,741,159,638,288,670,339,043,590,081,159,452,269,841,051,606,110,497,
582,069,288,335,242,763,659,926,439,916,602,927,835,751,977,389,142,018,924,
275,039,195,440,186,631,814,635,566,123,467,443,979,247,319,130,399,371,846,
443,948,271,441,582,314,593,009,484,448,199,540,330,587,242,902,817,055,929,
317,381,903,148,677,089,607,475,101,864,845,758,886,042,881,899,275,472,672,
041,156,226,060,572,261,156,634,248,512,147,657,513,255,874,891,896,968,741,
910,687,090,780,738,538,998,719,403,903,128,991,748,729,125,750,716,859,438,
548,062,362,586,291,798,660,719,949,243,205,147,959,187,668,796,319,488,921,
359,660,128,236,894,793,049,936,644,427,712,469,105,593,552,289,288,312,162,
775,607,496,599,754,847,545,054,675,751,977,004,173,235,152,733,545,046,538,
302,813,763,796,615,048,636,254,137,884,147,583,802,912,937,253,085,416,696,
305,498,882,093,343,345,969,425,836,858,821,915,585,597,749,630,319,354,569,
714,284,725,510,990,806,604,978,878,797,108,950,295,534,025,485,110,857,241,
995,580,401,245,385,322,385,992,556,266,790,846,711,115,351,062,998,292,962,
094,979,100,411,404,868,047,912,217,838,782,850,942,188,534,964,667,528,329,
288,374,780,979,831,322,961,441,579,221,152,814,248,381,047,306,909,730,931,
235,841,036,519,731,735,385,716,912,110,034,524,256,083,042,218,504,057,497,
281,171,387,066,506,728,537,262,596,964,258,702,931,307,535,953,861,348,763,
688,553,558,418,320,492,204,243,448,059,938,789,167,745,472,165,680,150,218,
332,437,021,202,342,288,324,750,080,155,730,987,141,234,099,244,345,685,443,
830,394,012,536,681,006,943,801,881,116,480,241,421,966,454,415,974,524,044,
413,011,483,493,752,871,574,850,549,509,881,834,906,615,330,921,014,143,554,
513,578,325,273,335,298,745,294,779,114,939,006,348,169,983,853,490,627,192,
539,713,006,660,667,316,813,039,968,912,312,181,995,891,737,167,311,737,515,
758,388,880,719,847,168,730,710,345,686,865,893,695,234,317,572,888,265,802,
363,925,743,972,672,957,001,558,544,605,577,632,285,894,697,240,653,956,179,
218,248,804,970,227,920,370,296,766,120,682,282,432,354,028,852,556,414,532,
686,503,551,120,345,151,169,790,998,471,527,553,922,848,987,067,327,993,287,
836,125,550,860,760,277,220,503,695,911,585,027,911,178,978,058,569,653,808,
278,348,030,269,232,145,147,179,138,496,258,188,834,323,639,793,016,956,307,
276,723,576,967,998,878,551,125,798,135,881,727,275,595,621,656,868,639,119,
330,343,998,649,600,125,229,786,135,095,828,634,103,442,440,155,036,256,695,
824,936,908,736,131,720,231,146,078,791,475,896,062,225,715,055,218,070,486,
286,285,170,333,709,592,675,205,402,709,419,654,940,909,029,248,823,591,883,
495,792,434,076,960,171,377,094,953,079,529,845,157,154,955,270,438,562,323,
099,651,497,240,476,514,044,042,692,760,408,142,293,368,679,608,949,538,309,
217,144,929,027,461,468,294,457,428,860,921,676,140,211,177,689,154,187,249,
614,274,828,857,143,394,634,488,260,237,997,866,768,987,999,754,546,389,924,
712,543,767,661,220,224,682,911,683,205,002,947,823,882,732,742,809,623,077,
964,770,726,154,131,174,236,354,972,764,630,557,860,826,318,103,261,158,066,
552,060,949,146,398,412,613,137,759,181,129,405,530,601,359,211,617,703,599,
746,956,624,042,567,333,471,152,499,510,871,482,961,602,421,079,339,207,088,
610,845,145,099,257,142,644,078,005,657,128,156,855,564,432,783,933,049,746,
723,112,565,003,423,375,605,996,773,526,567,657,551,228,241,729,553,679,700,
700,539,343,470,460,604,063,070,234,426,211,812,862,166,129,947,039,150,753,
645,276,820,724,299,225,643,473,387,294,907,656,070,506,132,967,385,099,016,
573,721,200,391,509,753,068,876,659,188,948,165,733,444,821,045,756,693,503,
405,507,274,976,125,338,765,871,319,820,250,264,730,928,932,066,804,922,703,
923,425,365,198,817,102,834,552,267,149,150,790,832,832,146,867,139,696,835,
385,048,004,333,471,175,225,127,832,816,110,229,792,035,978,068,616,586,683,
507,351,993,270,105,746,065,662,752,006,409,404,509,667,616,127,622,156,822,
431,241,660,609,441,898,686,970,495,285,866,403,603,912,034,938,489,059,855,
368,717,949,633,366,220,793,629,727,806,615,834,513,307,298,703,104,252,012,
958,535,924,104,301,867,250,271,161,374,543,802,051,861,274,888,702,588,490,
818,600,793,657,834,098,627,213,743,369,004,556,304,028,861,605,736,712,663,
562,103,724,569,807,127,841,724,702,793,794,949,538,766,018,771,470,082,502,
093,424,891,180,694,296,708,131,033,505,333,526,887,305,876,379,396,326,377,
464,336,467,395,416,308,428,575,075,279,745,813,051,103,514,787,098,873,264,
752,420,718,816,793,217,355,952,997,730,268,795,722,954,137,884,474,892,148,
974,426,770,559,405,003,031,812,762,253,383,696,785,366,512,554,832,701,632,
413,723,475,931,277,150,571,534,894,569,312,797,429,453,114,390,750,913,667,
865,418,758,517,498,380,512,020,055,380,878,076,106,612,299,888,387,999,467,
350,157,931,504,563,465,509,354,883,985,344,442,450,791,609,684,854,546,688,
400,513,207,436,870,379,127,952,892,300,413,596,509,224,456,081,938,101,724,
948,767,443,634,573,100,966,237,852,734,012,114,835,455,565,504,917,733,779,
866,698,542,870,904,294,206,377,234,408,126,574,055,729,362,659,618,713,213,
663,608,711,087,766,954,440,500,229,278,160,199,385,558,953,786,696,232,316,
511,552,666,630,596,167,377,430,430,196,000,154,177,093,009,184,663,761,675,
902,944,582,250,070,161,947,613,727,099,758,379,441,724,957,954,151,942,003,
021,406,455,394,074,029,677,872,031,941,294,010,865,754,345,828,931,290,898,
569,089,179,756,376,672,519,753,555,545,114,521,009,950,997,648,901,351,926,
032,553,779,050,891,864,790,164,807,445,182,771,007,296,203,563,104,540,801,
530,005,751,602,908,223,612,295,696,798,148,458,637,658,698,847,264,898,002,
444,084,008,219,421,728,758,822,844,014,376,680,276,453,787,912,776,826,862,
505,515,096,812,678,156,259,253,788,505,105,321,300,080,575,941,331,476,016,
016,559,859,002,384,152,623,361,211,058,511,874,770,073,622,413,802,155,062,
827,999,233,480,413,662,222,575,884,495,398,273,784,537,988,675,586,815,748,
836,379,085,909,369,846,698,373,334,215,175,930,694,145,772,422,790,574,004,
631,431,243,989,339,874,706,447,636,084,981,114,359,846,609,533,805,996,123,
935,169,268,084,640,403,335,940,482,490,316,379,173,551,504,915,953,003,787,
090,495,452,857,793,603,018,264,699,032,637,220,727,245,122,247,644,644,302,
807,083,834,087,889,947,528,414,166,408,147,254,272,933,291,047,186,012,426,
827,768,437,220,223,486,440,967,547,406,816,793,298,753,360,130,529,498,894,
021,984,086,621,475,374,852,670,611,978,952,678,044,949,707,836,680,957,341,
018,255,933,241,440,879,577,930,906,557,910,554,607,264,641,431,638,136,923,
617,662,321,413,352,131,241,238,440,192,209,580,229,445,388,333,394,316,874,
345,092,468,273,052,261,674,733,138,599,207,737,826,652,193,835,705,722,167,
075,765,751,271,488,015,323,891,427,225,782,174,107,688,395,318,599,827,473,
940,958,208,467,640,535,767,228,044,944,973,819,833,085,031,974,698,124,692,
525,492,755,366,183,777,550,351,772,106,900,762,421,440,379,456,678,705,050,
557,299,547,684,132,176,526,675,896,475,322,397,908,938,219,338,308,412,013,
837,620,711,935,426,717,839,501,019,491,207,036,786,235,876,592,789,376,845,
356,840,808,337,603,997,341,719,881,199,670,489,284,035,421,967,963,798,256,
624,988,523,244,496,961,602,678,579,718,481,425,455,250,653,225,491,581,599,
398,784,913,300,369,466,020,211,940,967,462,588,933,823,026,637,062,702,829,
530,186,627,889,912,432,050,180,408,086,531,025,513,999,920,607,015,941,486,
066,233,368,517,507,850,510,682,050,705,311,175,585,926,274,762,811,976,088,
897,575,738,615,719,433,077,150,553,202,886,870,801,967,833,646,799,322,150,
348,842,232,692,513,560,140,032,790,525,670,569,891,613,271,252,698,662,945,
062,116,539,870,182,178,441,478,967,018,349,671,589,534,283,850,468,356,297,
715,535,706,038,312,635,060,753,223,670,122,044,030,998,383,518,028,053,149,
662,430,056,952,565,942,018,482,704,497,831,329,781,335,672,938,441,528,204,
913,908,118,411,834,185,222,436,518,999,826,483,165,097,965,876,039,768,580,
497,159,573,371,200,274,558,054,322,664,709,394,891,491,326,170,095,146,408,
939,962,944,699,329,778,642,198,719,574,150,726,609,351,195,223,438,033,907,
690,252,297,766,622,091,530,480,138,890,310,808,146,980,271,651,647,621,605,
823,848,192,659,241,799,825,718,085,382,025,881,206,952,831,213,467,576,384,
703,510,317,009,974,906,123,907,432,176,942,604,315,710,694,987,000,280,252,
052,329,186,067,989,879,406,047,262,237,043,605,481,254,207,702,907,247,418,
504,425,488,434,634,120,539,358,429,201,014,956,773,378,668,567,850,260,528,
500,421,463,285,534,923,289,836,931,871,396,970,942,628,808,279,064,874,861,
095,143,514,982,887,248,276,831,715,747,107,983,042,317,918,325,053,990,508,
961,187,201,286,370,142,617,986,515,239,737,662,784,101,225,226,024,820,400,
104,197,012,886,575,014,165,226,907,654,452,133,039,471,164,921,626,717,825,
879,621,168,220,323,220,611,778,677,743,594,575,721,585,085,780,709,918,494,
222,342,805,119,633,326,405,675,341,740,884,643,928,445,743,980,554,846,210,
522,649,637,996,407,150,650,888,618,013,329,707,424,173,560,523,374,165,396,
449,626,086,873,833,795,254,976,826,432,939,329,991,406,472,633,225,011,824,
193,183,533,053,577,377,003,572,355,091,502,897,371,500,876,758,574,344,928,
872,826,745,137,734,350,429,373,665,334,193,462,121,166,119,316,180,064,167,
819,023,403,847,295,050,169,683,352,740,754,653,284,482,514,905,745,847,892,
855,334,323,204,038,660,353,660,317,289,076,817,214,142,559,830,110,318,036,
627,260,766,443,862,502,894,725,617,760,055,547,063,869,242,395,419,661,060,
484,743,857,272,608,366,404,322,238,248,898,565,106,228,351,957,842,569,858,
256,086,216,983,270,218,486,863,784,851,451,629,012,174,287,617,299,370,921,
047,950,260,725,432,890,832,964,745,345,007,337,010,440,412,618,933,113,290,
224,951,087,875,363,094,263,364,104,985,761,636,430,898,972,459,223,586,565,
055,501,201,566,784,860,438,331,704,007,403,960,381,055,518,294,688,477,589,
999,476,882,210,869,370,907,061,819,185,590,775,111,438,770,295,081,255,048,
608,775,533,193,833,162,003,412,327,761,435,974,408,409,529,562,681,423,156,
930,631,904,733,734,226,197,713,425,585,450,513,009,500,221,605,227,173,077,
038,408,971,020,362,147,221,608,070,554,370,810,668,238,272,601,895,219,891,
221,778,654,458,896,538,315,957,241,338,906,415,324,656,378,459,164,733,861,
727,576,923,106,140,767,193,736,996,605,012,284,462,798,534,600,590,363,859,
789,127,614,350,110,489,220,482,773,574,577,435,703,565,373,870,566,294,610,
061,040,619,293,548,865,360,628,100,006,453,208,057,008,113,953,882,651,424,
044,812,153,131,916,542,578,840,327,669,767,790,548,190,910,825,821,156,636,
001,574,037,724,624,288,784,240,429,520,152,791,815,711,016,090,665,948,684,
414,865,314,470,575,976,685,904,796,631,097,090,610,312,121,035,724,239,829,
525,144,975,272,933,413,635,604,605,122,416,488,479,925,948,058,986,609,823,
901,361,331,295,836,006,395,086,623,989,768,870,099,708,876,333,289,699,746,
665,867,065,573,036,769,335,838,726,657,136,115,860,861,799,919,694,613,436,
306,900,022,308,534,830,748,048,393,311,294,258,809,719,149,504,083,978,026,
291,668,855,286,924,230,573,030,583,251,109,825,106,469,575,030,091,038,329,
339,305,851,151,665,527,005,114,315,887,027,973,366,011,296,196,023,140,577,
235,289,624,150,386,511,621,208,541,289,627,429,929,039,147,888,257,644,922,
478,776,232,389,604,415,265,844,668,776,068,164,945,013,974,733,600,887,382,
847,510,538,231,675,430,871,124,176,676,785,174,939,028,787,420,057,462,427,
027,671,666,849,167,250,066,620,920,799,046,321,124,741,583,482,694,539,508,
036,610,891,788,773,131,497,406,334,925,641,455,769,121,469,748,412,553,665,
235,553,916,764,872,867,705,679,157,413,454,242,270,531,332,574,495,730,587,
492,727,961,868,171,834,473,440,721,903,506,760,621,437,581,872,918,780,206,
922,568,920,260,060,685,513,985,850,577,834,385,561,898,799,083,295,264,760,
627,694,334,854,943,787,248,969,641,884,615,150,590,798,283,679,904,463,303,
772,565,611,852,481,821,391,425,939,638,632,834,514,455,086,117,459,256,782,
973,631,585,037,595,907,917,031,726,456,081,518,271,852,825,748,272,207,778,
347,207,826,429,270,935,838,098,543,826,815,253,299,232,667,086,176,189,043,
510,105,921,755,263,588,924,800,381,571,384,009,723,680,082,393,724,190,625,
074,849,245,745,221,593,830,176,912,048,914,865,552,112,194,589,011,008,826,
783,928,287,119,787,597,644,967,032,902,255,829,889,627,569,266,060,234,315,
557,611,859,077,167,905,111,649,078,861,744,538,739,535,423,450,900,881,621,
071,663,723,270,733,058,371,306,526,210,651,505,391,995,333,223,438,923,459,
931,261,802,392,430,222,767,508,234,107,714,484,279,416,657,783,158,385,319,
853,339,417,855,683,292,398,948,863,970,924,578,779,155,116,765,576,338,623,
164,033,374,064,070,488,141,990,907,458,442,411,146,131,486,979,614,957,488,
311,142,887,951,376,798,566,070,769,803,138,485,772,458,969,594,570,419,297,
355,668,554,879,517,114,637,582,990,924,222,305,916,888,929,277,094,032,287,
945,969,821,307,542,583,449,200,917,224,082,957,051,168,759,057,832,054,708,
646,639,092,651,556,700,181,607,884,293,736,940,930,390,309,531,178,278,383,
615,234,021,472,344,199,494,714,149,360,503,183,174,550,857,521,720,111,572,
429,669,906,509,323,810,705,879,134,304,614,288,670,145,289,803,131,143,832,
255,303,590,137,351,636,417,757,705,550,012,130,133,974,943,717,618,940,783,
625,092,669,210,369,043,006,450,430,750,140,031,054,841,116,441,141,269,073,
363,352,043,211,246,518,871,023,423,810,957,142,940,061,458,743,277,283,055,
468,555,659,654,390,565,223,697,923,263,517,762,126,791,414,806,529,181,944,
599,184,925,989,991,359,987,052,260,137,930,517,179,587,191,839,618,389,344,
568,859,298,454,024,454,013,361,023,635,769,975,390,182,129,357,338,737,827,
967,203,476,057,912,885,345,059,021,770,193,014,277,184,176,149,676,347,882,
395,112,690,417,551,182,711,432,839,304,515,032,582,889,128,204,506,242,676,
667,293,128,844,036,681,200,074,208,457,551,942,807,428,407,731,037,767,165,
792,150,136,558,296,828,517,847,998,624,875,080,858,598,621,046,393,247,237,
850,598,334,363,864,392,179,979,247,914,121,909,239,010,581,980,357,376,727,
985,337,697,669,135,377,664,744,960,365,788,055,887,757,504,485,875,906,056,
180,031,335,882,233,777,026,520,246,602,414,692,188,038,135,927,878,758,496,
205,379,835,301,287,069,636,890,782,374,689,403,668,635,908,529,396,326,683,
540,588,118,868,947,320,267,077,186,348,661,704,383,812,379,555,847,382,118,
616,809,449,931,402,328,633,885,324,528,422,848,393,019,149,352,869,999,456,
900,659,043,054,301,253,943,414,816,193,141,274,676,371,457,562,129,858,780,
840,707,039,267,830,364,631,012,527,443,092,437,424,353,431,399,649,025,990,
608,135,256,875,843,006,041,388,765,171,880,807,752,359,847,925,593,963,948,
629,420,062,862,717,838,099,096,491,336,717,160,932,589,038,410,297,225,792,
436,800,637,287,553,487,533,084,621,078,210,626,591,574,013,053,413,133,244,
606,785,710,553,523,607,492,969,029,581,562,949,630,480,016,085,569,372,040,
407,022,260,144,228,502,919,098,986,576,035,764,466,482,940,372,665,482,222,
022,347,596,189,345,236,209,341,170,970,606,388,063,052,458,918,397,745,047,
457,537,976,795,129,082,933,950,326,111,435,449,497,526,667,741,891,715,529,
879,737,676,217,910,093,319,202,649,137,799,381,142,746,352,789,668,752,638,
206,089,972,898,671,456,688,956,650,037,297,143,743,295,262,077,593,535,698,
230,980,215,809,636,045,044,850,708,164,062,908,198,226,959,111,431,123,706,
790,584,983,284,866,184,822,081,870,616,814,929,310,715,038,307,584,817,963,
518,979,695,342,503,312,110,031,415,142,280,042,719,937,917,923,057,257,467,
353,639,305,866,674,456,172,015,679,406,991,670,867,064,842,458,356,475,221,
546,086,128,725,416,252,147,140,479,776,676,114,588,088,056,774,584,602,462,
004,459,272,372,272,967,858,683,513,712,275,662,653,801,052,291,313,635,189,
386,246,767,599,352,609,274,391,822,000,507,933,751,418,634,747,744,983,744,
403,687,967,649,125,632,614,600,460,264,863,487,697,945,028,911,082,382,220,
517,570,631,493,092,557,383,830,555,430,007,938,425,751,671,513,092,230,930,
235,370,490,652,111,873,298,617,998,202,555,651,064,282,673,095,662,359,767,
040,674,567,295,017,603,598,465,333,147,407,896,899,360,280,029,403,763,534,
933,161,687,773,646,407,453,440,695,713,135,131,763,625,743,530,264,527,011,
375,084,530,422,075,277,493,107,018,705,132,506,402,510,706,627,679,118,208,
968,781,658,637,167,909,113,029,708,194,264,258,091,040,794,502,227,690,302,
396,611,735,156,913,161,381,907,504,819,237,064,070,458,157,089,694,848,959,
244,014,983,442,634,205,381,132,394,036,963,238,578,354,318,220,176,744,919,
822,746,745,797,386,483,450,595,067,550,293,103,131,737,994,743,215,860,491,
896,187,419,691,455,346,852,788,176,571,619,233,194,852,082,073,510,320,998,
854,927,993,750,189,935,128,891,298,501,810,519,853,859,330,281,845,324,230,
520,848,384,057,330,044,078,781,772,533,621,433,372,189,731,471,203,304,569,
632,220,031,785,391,330,712,109,966,159,599,087,041,417,158,049,439,674,991,
718,196,745,971,848,400,296,866,819,187,146,291,537,588,089,225,965,593,439,
675,488,655,745,813,834,634,755,222,794,074,266,156,551,409,832,539,721,108,
010,190,746,336,894,892,547,688,898,676,830,817,912,766,163,668,505,424,435,
920,278,972,851,807,887,976,744,155,183,276,204,632,182,797,369,837,629,424,
143,650,814,729,896,921,958,963,368,417,654,540,324,622,774,251,678,433,698,
080,314,393,804,173,234,132,462,515,164,436,763,094,412,382,553,563,062,317,
916,722,070,645,298,314,448,268,424,826,404,586,621,881,015,562,158,122,998,
675,011,307,941,800,072,178,443,469,842,922,380,769,917,012,318,319,751,083,
919,186,585,994,816,809,118,556,558,953,997,996,028,453,259,704,824,483,926,
808,155,232,533,692,200,272,440,032,375,074,515,740,713,306,316,839,334,639,
173,648,158,268,190,772,364,161,074,106,042,632,858,470,955,092,444,944,305,
338,069,927,660,069,342,342,075,245,104,935,394,713,227,604,398,738,154,982,
451,143,041,401,611,606,609,769,345,819,574,826,177,399,870,056,066,685,418,
854,738,189,196,251,748,249,577,570,991,840,190,570,265,421,705,797,561,461,
451,126,229,688,552,866,397,389,421,193,015,730,251,581,186,176,290,790,523,
841,945,065,559,419,902,319,854,177,710,486,926,208,495,624,331,343,181,996,
168,354,194,577,042,854,282,827,723,596,005,912,936,962,439,238,355,458,584,
714,436,310,969,116,385,626,730,754,671,421,169,636,045,006,093,384,012,228,
204,616,944,154,817,364,478,301,905,964,995,422,264,272,907,782,051,232,758,
579,703,766,819,425,212,668,736,154,196,712,494,065,396,311,865,403,196,469,
881,022,403,130,791,825,696,945,008,988,751,742,391,112,735,480,973,772,846,
086,040,646,223,716,853,764,138,761,023,953,061,087,756,722,654,130,458,604,
442,980,595,657,999,606,572,393,742,566,391,532,830,061,293,815,340,294,489,
940,660,192,418,126,071,617,871,884,558,813,774,136,293,587,994,804,417,425,
331,348,409,990,731,496,542,281,097,499,611,504,538,086,367,509,121,668,604,
031,179,745,241,686,308,339,039,988,616,761,498,921,508,151,898,035,725,552,
602,904,265,640,962,391,116,978,588,360,866,271,452,223,395,493,608,803,837,
336,327,714,566,163,785,919,951,790,576,101,536,577,037,041,754,748,800,397,
883,975,815,261,684,669,778,944,401,657,802,878,384,502,920,466,888,467,040,
587,383,311,152,750,425,966,901,436,989,928,726,161,681,645,016,564,249,020,
245,736,573,025,256,922,377,170,047,944,904,193,027,911,335,003,726,121,540,
535,284,568,966,520,505,311,782,588,895,340,162,608,069,659,958,702,418,409,
284,813,716,164,918,859,110,653,238,419,020,168,955,485,844,462,428,299,294,
225,841,798,878,180,640,866,588,905,090,428,246,125,246,411,821,862,600,664,
727,593,015,903,772,626,069,203,059,969,815,792,494,776,111,800,914,304,962,
024,084,725,595,306,342,142,551,961,745,069,951,251,330,821,204,795,829,685,
431,729,703,849,647,520,074,161,427,169,447,457,802,317,318,156,414,109,095,
794,211,602,895,495,420,499,492,412,375,935,259,654,563,331,102,487,948,577,
777,043,101,340,666,591,643,104,133,196,944,723,190,862,165,982,625,875,899,
759,772,173,811,692,968,144,485,314,032,436,898,951,062,009,347,324,615,804,
659,630,448,166,632,873,663,985,341,834,719,732,031,538,378,387,490,433,365,
446,092,253,405,307,177,137,294,597,237,062,214,783,090,812,073,810,236,068,
318,036,137,095,291,194,191,427,342,865,758,976,989,336,116,066,218,567,913,
759,745,277,295,872,377,648,789,060,738,607,168,561,998,547,262,015,213,913,
899,837,631,945,775,135,573,675,260,542,801,281,212,238,787,208,690,624,398,
325,403,377,194,849,068,730,402,555,292,382,855,955,172,583,817,906,752,118,
750,309,159,356,929,052,804,113,386,202,952,426,597,021,618,383,061,073,963,
991,942,065,741,022,557,167,230,312,791,210,856,196,700,194,030,505,423,356,
973,862,420,742,111,643,171,027,181,297,370,765,465,022,937,523,896,358,311,
503,262,832,239,496,506,193,722,732,305,860,531,724,841,839,793,194,615,231,
630,770,240,748,428,308,491,904,807,105,284,283,731,284,158,762,401,555,955,
804,745,172,800,208,890,933,989,102,786,424,253,147,648,859,840,284,305,606,
318,118,951,090,447,895,862,312,609,674,048,848,310,488,842,168,286,781,889,
546,050,873,326,658,340,695,417,747,361,562,311,005,677,623,406,940,079,244,
762,759,884,620,641,767,491,783,169,702,603,542,991,775,833,599,865,448,548,
838,677,696,666,713,195,918,617,864,575,089,526,319,737,993,268,170,932,524,
446,495,918,159,465,698,182,439,119,306,571,397,744,905,062,913,308,826,609,
655,565,831,436,726,586,000,538,695,522,952,112,217,436,486,053,343,596,853,
714,165,126,772,527,743,748,999,271,920,931,781,825,113,518,395,306,588,849,
935,218,793,590,863,816,941,213,794,981,111,043,962,454,832,615,236,519,799,
594,028,178,609,846,268,468,568,302,429,409,270,366,612,445,339,303,856,232,
309,732,540,519,540,330,851,272,095,854,417,659,266,090,456,688,019,826,840,
470,022,407,844,107,391,406,067,154,337,171,846,183,279,343,124,911,310,260,
125,051,879,279,139,643,139,037,300,724,406,451,294,055,834,598,256,505,084,
011,234,078,991,621,838,778,448,751,731,087,264,401,904,061,883,674,305,380,
937,333,671,647,435,528,085,982,339,954,608,912,735,779,156,990,712,249,173,
994,310,830,687,533,480,258,294,657,228,921,360,218,635,382,082,688,067,717,
466,181,784,751,880,806,729,830,847,687,165,559,847,392,112,387,699,854,790,
304,716,642,810,120,002,336,557,112,817,902,878,240,116,274,290,858,362,248,
228,398,289,030,380,676,234,100,774,010,143,231,504,218,080,495,169,326,537,
172,210,233,789,407,268,206,751,595,040,926,817,975,529,557,063,043,195,891,
942,571,386,466,550,748,658,343,684,045,021,168,992,304,955,496,222,783,688,
903,448,183,138,513,765,566,225,353,686,303,334,158,683,432,172,724,872,847,
327,214,555,038,397,092,816,466,214,738,388,269,866,150,970,346,636,102,354,
039,676,081,858,054,089,019,593,683,190,633,392,016,504,137,221,773,946,395,
936,460,622,600,867,600,054,131,665,167,248,579,508,561,126,907,130,219,839,
875,130,824,374,108,602,056,409,814,087,787,004,182,718,363,416,951,156,840,
947,576,013,689,281,019,351,117,590,109,160,216,734,210,564,651,507,864,226,
782,638,272,701,823,811,798,942,967,824,268,730,214,162,727,548,059,841,655,
932,821,968,517,770,733,338,195,477,380,886,674,924,194,796,538,121,285,095,
208,698,776,652,396,174,905,367,622,662,134,376,902,595,942,136,632,104,442,
674,886,118,482,441,473,027,953,179,849,598,393,304,877,224,472,393,598,079,
605,148,948,056,678,368,757,517,703,917,955,132,794,574,410,134,627,720,518,
578,723,876,676,635,511,139,731,853,897,987,274,231,780,840,393,773,527,913,
043,286,477,365,542,099,930,239,069,464,516,796,454,429,820,029,731,224,073,
240,169,130,056,955,095,349,319,063,040,201,533,685,041,043,058,821,584,306,
335,569,386,839,877,687,389,671,535,765,229,388,295,333,902,147,567,970,440,
905,808,142,067,254,826,774,259,736,575,640,301,853,661,302,362,755,201,305,
399,260,071,457,153,187,600,604,348,016,734,659,140,708,356,930,779,619,944,
258,390,066,981,953,703,814,472,430,716,889,624,895,825,117,971,644,260,343,
382,559,283,723,367,844,467,652,262,850,928,174,071,749,652,453,590,626,393,
412,325,508,649,807,103,987,604,262,046,141,599,685,221,872,022,020,514,526,
305,613,765,255,863,485,505,373,324,526,901,935,728,449,937,747,302,757,891,
523,922,080,729,073,725,049,474,215,837,742,437,827,417,174,885,364,742,885,
307,586,958,172,472,236,343,678,857,901,330,425,890,821,296,328,974,323,760,
309,625,773,634,169,298,614,498,192,024,179,830,237,594,161,241,769,902,289,
965,619,658,150,374,447,804,801,866,635,691,472,020,047,727,527,553,314,851,
737,050,564,398,713,013,140,044,724,603,340,131,043,794,123,707,224,818,641,
864,719,055,437,325,662,195,515,105,250,012,743,446,562,429,495,048,579,156,
926,586,569,338,268,513,894,102,300,239,416,677,018,268,704,756,301,290,389,
627,131,982,531,934,761,248,857,013,220,502,867,497,995,723,325,746,341,738,
698,103,765,428,829,265,896,141,159,282,092,982,703,855,913,685,188,532,163,
641,624,058,021,806,513,430,353,891,515,674,523,017,169,462,975,364,066,747,
941,746,947,356,797,087,910,460,674,786,297,265,610,294,709,522,577,878,820,
658,523,181,639,821,787,194,364,898,117,426,167,130,854,364,129,645,613,068,
825,631,629,337,733,943,935,507,465,883,944,291,077,653,552,386,950,171,454,
065,760,310,716,641,532,697,646,704,030,583,760,171,891,043,433,950,923,441,
824,294,038,837,500,807,446,246,809,213,347,376,598,046,158,145,982,933,464,
951,695,946,597,481,030,039,306,884,868,359,671,483,395,090,937,223,261,143,
626,959,658,595,777,766,884,281,098,095,765,287,701,113,478,495,229,001,217,
068,089,438,855,951,344,234,932,261,125,270,843,436,508,526,242,222,509,163,
332,925,590,009,589,644,367,277,694,330,816,443,437,341,755,428,597,048,611,
449,905,774,743,569,211,229,462,016,691,709,606,275,350,214,979,010,486,836,
749,716,565,575,124,475,695,885,259,842,832,714,803,289,399,759,579,668,165,
306,236,388,031,523,317,220,165,842,531,450,549,265,591,131,194,927,667,452,
683,581,071,938,492,165,292,829,673,486,691,579,642,232,646,710,145,838,776,
058,097,133,047,141,004,920,547,462,598,529,132,318,573,052,492,405,772,322,
762,197,419,245,456,035,641,431,887,304,911,238,697,590,189,855,988,041,365,
840,323,942,132,159,586,379,362,456,353,669,877,368,053,591,902,488,601,347,
214,144,825,000,559,476,051,379,661,494,934,099,435,322,748,291,175,488,856,
245,450,206,843,394,380,368,295,308,186,347,962,193,566,854,020,009,188,422,
013,489,057,597,244,360,742,312,346,108,614,076,104,218,026,178,400,303,337,
618,485,035,130,913,035,822,167,830,864,889,693,094,051,477,745,630,964,323,
430,259,760,448,533,860,251,887,357,438,338,916,572,671,529,973,187,822,798,
756,092,358,197,208,436,979,231,774,243,085,432,485,254,023,771,200,741,092,
713,149,228,186,286,614,238,695,202,926,145,937,702,984,407,803,087,958,574,
961,212,000,309,580,962,344,513,770,336,962,127,635,178,778,865,229,567,602,
841,352,294,570,099,994,638,889,037,387,151,613,734,420,762,016,228,370,342,
109,340,865,900,471,400,608,015,170,267,570,688,289,127,677,978,548,195,733,
836,120,879,035,736,757,274,140,932,812,356,094,316,404,266,142,142,742,591,
906,139,254,452,744,828,481,758,868,476,392,921,978,547,747,266,063,845,560,
154,358,638,011,056,327,579,297,213,633,111,585,851,435,246,320,609,779,030,
489,062,069,677,912,648,279,859,499,917,634,020,993,793,034,006,440,905,332,
009,688,312,970,280,235,810,600,951,710,954,256,603,183,992,025,137,536,227,
823,908,237,669,126,373,402,162,101,650,528,338,483,716,674,399,501,645,559,
311,994,874,921,699,200,575,488,587,886,821,225,933,060,334,590,790,611,050,
749,743,763,881,364,944,122,092,746,558,072,718,197,579,540,790,443,273,757,
456,121,572,810,998,970,571,569,922,656,068,191,809,337,736,495,386,114,894,
036,062,875,233,479,077,987,578,891,347,069,843,959,618,340,350,701,511,592,
734,474,375,358,189,143,362,964,302,301,569,509,873,237,732,241,880,773,739,
069,871,144,136,561,808,578,781,223,341,174,414,685,711,453,265,407,510,728,
413,776,888,495,200,598,910,167,366,252,277,711,642,706,007,965,541,574,027,
863,899,658,971,658,079,188,550,597,182,555,943,490,696,071,071,066,219,528,
739,783,745,543,606,167,121,421,424,581,797,642,562,019,850,746,327,495,703,
750,059,771,268,794,855,702,098,984,539,546,747,104,034,736,859,716,950,657,
159,914,596,315,168,866,944,501,926,818,646,776,301,593,380,895,630,934,123,
318,499,609,702,546,572,877,286,007,686,595,321,956,994,595,832,864,668,422,
860,936,306,223,248,094,830,682,660,482,554,844,744,125,558,364,437,939,604,
873,462,082,075,770,406,172,299,070,846,443,691,903,904,846,929,663,087,302,
485,981,553,434,490,349,414,804,311,929,579,818,688,514,886,369,626,010,858,
121,455,266,143,897,380,739,688,549,790,914,793,231,548,790,509,507,073,709,
696,337,887,781,442,572,910,244,756,968,644,768,557,351,736,289,371,346,174,
724,784,523,096,329,574,866,400,320,022,534,384,471,228,690,011,896,016,125,
215,674,300,871,029,144,696,253,860,606,148,817,207,543,704,386,418,509,723,
923,853,401,191,892,079,608,013,996,105,841,746,794,450,712,749,208,161,930,
972,065,563,905,169,464,791,158,139,234,577,163,240,269,311,943,488,579,007,
561,810,461,987,885,414,693,074,028,489,760,112,224,460,114,333,449,793,975,
196,085,598,304,552,548,264,335,767,651,650,857,031,702,927,595,681,041,323,
670,850,723,052,971,714,943,558,430,736,298,574,400,058,290,837,104,916,822,
861,857,669,583,431,183,425,517,113,687,049,940,470,258,783,613,480,980,334,
901,171,760,258,056,168,926,618,775,132,069,659,983,332,579,674,523,466,664,
144,413,215,205,788,704,136,607,810,167,096,391,259,238,654,266,391,495,348,
658,153,067,929,550,886,023,283,914,231,924,448,994,707,766,409,394,275,156,
218,467,043,813,121,388,852,871,125,750,039,983,347,577,940,889,185,615,852,
208,737,541,137,715,037,042,935,359,213,941,711,399,165,255,983,185,771,745,
394,292,005,783,816,271,946,853,628,550,286,181,042,630,925,431,612,221,951,
677,495,416,299,270,905,412,515,095,121,275,207,000,405,840,685,013,136,844,
898,400,348,894,719,405,970,433,423,468,296,915,064,083,852,227,925,301,423,
228,561,962,630,253,468,720,710,550,720,678,187,348,305,843,773,292,521,426,
441,698,572,161,623,076,574,489,269,766,571,759,511,449,560,576,137,903,764,
648,759,824,300,358,264,329,260,106,855,518,805,757,447,476,415,140,111,921,
527,410,306,277,218,003,000,668,404,415,648,748,140,356,630,981,638,934,170,
913,762,134,353,190,471,055,552,304,811,519,954,085,767,683,526,868,317,019,
483,454,073,160,740,503,465,802,747,452,096,044,127,996,988,413,509,426,756,
621,231,679,731,924,346,655,249,628,154,998,488,113,117,334,041,881,815,261,
393,347,984,284,437,168,278,550,917,795,382,697,313,479,570,761,563,374,183,
732,070,916,944,457,738,663,769,255,741,015,014,710,717,142,659,073,488,859,
949,886,813,848,653,387,861,790,788,444,145,970,187,456,055,427,720,645,480,
966,516,042,126,132,185,796,389,229,766,388,174,667,551,531,507,121,338,767,
014,485,346,668,828,658,026,410,355,266,798,388,494,945,945,710,586,884,589,
711,247,785,548,001,222,678,820,704,651,123,737,425,239,114,869,218,055,520,
240,826,502,114,722,023,478,113,294,042,446,004,040,710,106,191,211,410,114,
041,822,132,994,179,010,074,016,777,683,929,152,202,492,977,204,874,133,031,
964,982,612,963,738,243,584,752,658,987,593,277,747,241,421,281,280,263,464,
175,326,070,731,074,334,787,547,373,299,223,486,619,549,331,677,854,154,100,
978,213,606,272,703,989,328,409,235,424,336,627,750,755,898,853,081,565,399,
762,256,686,079,161,220,077,818,587,165,890,144,021,699,886,783,392,726,941,
298,348,048,459,939,426,104,648,919,133,843,617,119,867,392,085,440,443,069,
586,870,173,087,695,288,168,340,774,655,376,717,236,814,330,801,831,305,541,
613,530,313,816,103,504,299,283,618,377,367,538,101,068,809,689,223,466,802,
709,872,417,407,857,268,572,137,370,088,205,148,930,078,988,896,105,556,952,
735,989,971,934,092,247,608,540,033,767,545,919,539,242,891,694,133,251,157,
583,623,590,156,330,233,583,188,120,245,219,185,132,839,347,350,764,555,450,
948,145,980,111,947,178,641,565,660,435,074,110,190,654,383,293,390,853,924,
522,225,254,105,341,714,969,221,607,516,178,932,231,335,646,543,720,822,881,
307,706,630,411,946,384,656,737,758,954,289,806,085,603,934,272,279,170,600,
452,141,100,996,722,970,103,756,618,951,710,795,672,578,982,997,767,172,416,
669,482,456,416,202,609,595,972,532,773,636,928,107,986,850,047,593,154,328,
456,957,418,073,369,250,737,010,002,386,782,108,967,983,863,243,858,010,644,
009,430,340,600,793,490,330,817,914,304,517,496,218,698,574,668,859,033,924,
732,507,068,607,958,410,099,090,183,649,081,829,010,883,294,819,078,610,126,
608,230,864,778,755,528,913,418,218,011,854,920,382,783,099,404,481,557,931,
025,911,077,785,460,731,845,507,916,815,484,631,483,264,770,045,929,576,533,
820,446,746,227,991,085,806,283,730,470,813,069,889,507,232,822,228,961,972,
288,244,862,055,427,460,251,228,892,892,788,508,655,191,327,086,521,288,086,
030,891,582,940,892,779,420,963,976,668,890,671,182,313,870,022,917,913,615,
453,402,333,788,998,073,563,126,670,933,990,399,172,465,409,284,559,977,802,
898,211,924,355,268,030,500,175,831,038,909,378,867,211,562,773,886,082,386,
541,649,134,351,048,267,463,712,200,194,942,127,922,923,919,512,357,555,235,
109,245,913,574,434,422,540,116,906,462,776,618,476,850,524,346,610,682,137,
526,816,337,849,006,209,530,109,918,626,882,939,574,786,065,043,932,238,792,
767,043,542,306,986,901,412,652,982,370,505,630,916,731,514,376,683,069,472,
821,050,678,869,691,224,749,043,526,683,498,086,577,942,998,542,369,645,969,
836,817,376,852,671,679,203,202,726,238,417,247,498,821,509,065,651,285,761,
212,065,502,911,787,266,043,474,502,757,322,136,881,798,478,413,846,988,126,
168,810,320,120,399,470,704,532,811,305,873,423,131,459,282,877,772,098,602,
763,021,605,201,753,006,383,766,513,034,097,391,813,026,600,721,030,883,004,
106,219,932,695,841,207,637,507,212,307,196,556,557,485,895,310,788,454,666,
585,749,097,908,158,695,819,968,581,552,056,586,523,365,706,127,893,477,901,
244,922,336,191,140,265,244,745,298,161,036,860,381,353,757,590,499,770,735,
987,471,948,589,404,029,313,266,737,724,674,706,340,126,296,937,929,052,012,
877,779,594,766,926,553,063,429,271,282,563,958,643,652,365,111,156,841,606,
255,908,803,492,201,509,387,392,212,120,971,313,341,328,091,344,428,162,629,
434,580,167,756,183,292,688,925,008,432,993,487,199,658,511,931,666,344,946,
559,955,781,837,521,228,956,268,221,309,795,958,889,357,157,227,834,191,733,
102,406,756,620,925,201,924,766,803,082,489,180,516,700,155,319,786,214,983,
512,653,257,896,631,193,316,414,724,765,295,789,779,774,155,566,293,290,857,
592,932,598,377,692,856,158,880,009,626,001,815,805,994,765,148,714,818,650,
361,069,067,292,832,692,129,550,445,802,396,840,384,556,266,600,968,308,036,
880,611,023,133,314,311,625,543,620,930,906,895,945,880,873,911,935,921,538,
169,590,877,119,050,959,612,331,468,286,260,190,711,803,080,593,649,598,820,
958,703,440,735,387,147,359,031,630,593,212,026,941,357,932,937,700,125,087,
310,948,584,402,626,865,182,131,650,473,933,364,062,770,860,346,716,982,748,
597,639,668,732,645,504,985,640,193,654,118,666,241,342,525,412,972,869,501,
422,432,324,480,592,399,769,144,676,922,879,033,331,289,292,812,793,041,061,
776,233,279,898,849,231,478,933,456,124,971,790,574,804,801,704,042,821,340,
847,731,721,583,138,308,077,644,065,703,281,363,239,474,255,041,218,425,403,
229,495,107,871,906,317,982,589,112,157,646,979,326,504,765,089,941,758,196,
473,475,543,798,701,707,471,160,284,718,862,358,471,180,597,292,918,558,636,
179,668,764,712,432,644,558,684,515,453,178,671,945,499,258,119,278,096,098,
898,792,688,611,068,533,485,636,922,048,007,081,529,993,172,513,977,049,198,
222,791,224,609,183,549,515,858,669,160,790,385,612,903,404,872,624,036,253,
347,242,461,879,902,451,051,366,412,842,489,589,364,222,323,458,725,935,710,
496,802,273,996,595,325,414,559,493,181,281,820,472,596,472,200,996,133,519,
203,215,405,320,824,947,098,474,449,508,969,816,047,993,355,628,154,747,066,
249,457,581,486,681,157,470,367,757,545,768,671,377,331,828,124,396,316,790,
490,366,733,621,629,735,972,553,340,855,637,218,729,996,192,024,490,759,835,
342,361,655,045,066,214,373,838,070,834,951,406,833,523,416,692,789,999,449,
757,241,805,564,580,462,362,847,395,382,207,506,020,160,589,153,084,553,636,
200,635,665,451,849,297,695,745,456,373,663,133,192,213,433,928,210,264,849,
839,835,961,693,971,720,649,408,575,509,109,139,292,493,939,106,225,908,389,
204,640,004,860,664,260,272,263,412,928,430,743,279,023,742,130,683,439,545,
014,621,889,363,004,022,384,822,313,432,849,057,910,158,367,411,245,922,294,
510,053,682,177,143,966,298,489,547,516,690,263,753,595,537,722,486,184,353,
674,993,765,945,394,301,193,206,320,232,511,457,572,486,108,599,531,816,787,
664,621,757,379,993,372,390,541,075,807,105,028,214,762,052,430,946,972,938,
797,451,544,774,237,603,715,284,554,975,968,577,895,493,571,468,856,899,942,
446,814,699,778,969,370,635,359,275,021,162,591,474,874,576,695,756,404,518,
530,444,927,305,717,326,020,143,273,059,319,974,214,029,064,178,267,388,189,
634,404,335,258,433,669,111,306,396,502,745,804,839,876,279,621,142,885,210,
766,251,006,378,318,220,650,334,823,783,702,610,343,457,005,566,430,017,660,
862,864,357,302,338,576,889,349,410,466,298,146,790,315,586,642,576,384,692,
785,780,638,319,234,974,534,654,502,875,252,188,177,624,018,920,577,193,017,
184,229,458,506,226,712,123,374,899,024,042,848,790,067,948,137,236,451,424,
751,997,754,963,522,182,306,992,158,842,287,695,731,830,147,633,197,175,245,
796,132,634,609,097,231,602,343,077,403,328,255,245,688,840,786,275,836,570,
025,174,138,469,682,865,287,557,769,033,840,237,987,199,322,648,046,873,967,
208,267,922,137,960,945,214,616,945,155,958,924,873,014,629,140,674,568,595,
966,227,741,757,221,104,423,437,082,531,807,117,001,726,212,420,669,004,437,
693,687,905,218,785,794,137,194,567,198,364,345,919,430,387,850,469,562,679,
596,067,526,953,401,551,308,182,435,509,330,203,391,795,044,788,082,988,314,
069,653,725,972,523,646,369,526,099,618,192,783,010,263,451,909,793,762,244,
736,568,600,660,449,860,366,425,618,518,412,248,025,134,087,343,099,040,866,
075,630,600,197,522,663,746,648,732,388,119,440,930,340,190,816,222,227,321,
053,016,954,625,471,884,522,393,721,204,514,949,088,817,075,483,184,229,132,
042,059,254,398,603,226,497,431,577,348,115,808,705,470,542,620,524,584,744,
338,268,858,542,557,523,061,231,055,777,401,458,130,223,771,061,329,474,333,
360,464,611,374,033,917,899,303,168,449,892,827,335,506,387,545,572,127,643,
134,421,039,050,800,724,961,878,620,214,497,490,075,037,342,608,302,977,513,
715,795,195,463,683,724,910,809,885,737,371,265,490,712,176,357,865,639,449,
663,474,552,690,256,546,921,962,858,935,636,161,337,029,071,186,887,833,641,
427,740,436,857,213,199,326,501,923,143,444,728,267,767,227,609,105,672,278,
683,593,340,129,717,261,969,694,093,522,861,290,082,960,126,629,909,083,886,
339,441,179,114,377,647,547,761,005,068,713,581,407,139,592,501,035,363,975,
612,294,894,291,157,812,596,400,667,811,986,900,934,453,951,104,901,259,254,
141,266,359,315,691,450,125,129,719,247,300,299,136,017,106,320,971,438,051,
363,054,693,537,539,647,910,841,040,447,207,067,027,305,998,812,045,117,817,
786,808,160,638,095,197,484,943,167,465,063,811,931,397,153,482,468,483,619,
488,951,316,439,626,829,182,310,494,658,087,495,440,168,101,926,575,114,160,
028,717,459,080,612,144,671,414,439,663,318,777,226,805,368,869,475,862,597,
675,966,888,165,239,924,729,254,187,381,004,653,254,075,214,410,505,283,029,
774,583,981,382,796,871,797,862,629,331,026,531,355,144,080,844,546,036,566,
174,321,973,705,481,988,861,155,965,692,808,510,874,606,106,517,442,683,292,
534,866,995,293,732,469,689,371,398,081,363,837,907,410,496,538,079,540,583,
902,227,147,157,252,883,758,928,873,441,674,583,156,433,774,173,726,882,965,
013,890,246,971,002,038,200,791,454,663,490,007,963,569,237,805,641,608,373,
469,906,000,317,254,921,937,396,773,866,433,017,006,557,749,912,812,552,958,
519,533,301,591,003,067,219,112,778,317,080,495,770,687,763,253,662,127,874,
120,453,553,686,774,081,673,660,168,432,838,263,123,011,566,558,694,539,188,
609,241,164,190,190,991,817,969,441,566,828,561,079,882,746,573,242,783,745,
243,564,535,612,036,871,750,283,440,147,919,349,560,497,113,998,095,223,945,
102,024,781,346,630,290,126,283,589,641,137,764,809,802,287,426,440,871,730,
661,881,593,900,396,351,623,041,777,716,510,422,926,615,374,544,026,187,755,
537,364,412,166,485,710,743,366,481,021,323,280,631,224,695,044,671,317,299,
361,059,085,527,619,008,958,014,177,329,996,868,563,895,746,173,438,857,538,
297,509,150,808,030,512,025,422,070,875,332,606,950,698,238,331,919,290,087,
952,949,159,271,126,266,367,624,103,480,443,343,806,363,384,255,349,155,180,
134,995,126,898,466,548,090,213,376,690,959,926,356,790,225,260,066,261,330,
944,726,721,339,048,231,580,642,007,448,242,634,748,765,930,187,082,936,259,
402,596,799,633,098,540,677,243,310,676,391,069,875,073,998,192,610,182,884,
738,311,863,108,806,296,197,330,233,556,933,068,883,863,321,155,058,450,498,
258,201,988,543,188,449,029,775,566,399,602,902,606,326,301,059,789,932,371,
518,297,884,595,241,155,716,075,262,379,575,720,621,335,752,100,392,607,742,
442,782,236,620,214,519,839,728,956,477,989,811,193,957,869,479,432,520,321,
877,647,582,833,580,564,808,931,595,175,925,505,750,578,717,685,540,742,107,
880,961,241,680,488,187,728,969,249,268,995,231,176,746,377,458,164,646,092,
816,669,919,270,246,309,521,817,164,265,394,849,127,074,201,200,796,573,552,
867,614,080,653,288,674,219,395,849,269,053,226,256,954,102,431,082,412,163,
637,452,370,087,519,562,840,022,162,941,311,688,011,132,752,613,297,715,171,
362,084,972,822,326,512,997,696,286,599,213,628,641,896,381,381,483,883,262,
895,671,377,709,432,109,896,341,194,021,445,175,002,738,614,408,615,563,124,
905,528,116,679,085,973,950,550,284,279,990,602,775,482,656,917,585,348,541,
607,310,651,413,082,463,047,618,414,064,332,964,548,311,505,826,864,000,154,
193,451,236,445,823,650,189,640,021,838,951,977,740,219,755,941,163,241,908,
972,756,305,058,305,688,801,550,949,655,422,771,842,883,987,087,352,729,200,
249,682,182,799,813,821,698,162,644,165,201,685,092,505,559,301,246,835,174,
654,439,575,240,071,289,694,811,966,576,398,606,198,061,910,682,704,977,959,
051,467,997,134,415,635,529,541,916,984,182,149,034,750,966,565,743,710,131,
141,189,167,143,304,062,691,312,314,792,448,027,837,997,216,681,533,012,255,
406,735,386,839,232,481,818,543,502,261,873,526,339,194,503,318,002,917,351,
223,104,975,827,568,555,983,445,425,153,790,245,248,052,274,108,359,025,476,
222,989,481,031,724,842,272,620,921,520,861,408,330,788,251,831,852,591,187,
142,370,833,776,566,758,500,299,496,029,001,111,420,566,636,149,201,591,434,
636,097,530,122,007,577,799,205,412,928,786,709,230,923,256,916,018,549,455,
802,735,709,289,483,617,003,778,310,871,471,973,504,897,576,915,380,132,675,
866,718,444,560,120,635,522,098,312,532,101,703,353,148,786,652,098,865,766,
138,740,476,345,252,182,322,897,870,697,331,147,925,152,466,162,340,397,696,
614,940,809,084,296,039,240,299,446,337,836,673,351,525,648,079,456,842,293,
797,302,282,204,117,480,152,893,966,031,408,479,291,837,356,347,815,665,978,
269,893,487,795,415,206,635,969,182,486,734,310,128,474,363,012,780,265,022,
777,243,113,243,642,323,354,465,760,157,231,815,067,254,132,053,780,306,039,
253,476,709,105,679,647,857,894,676,273,742,935,556,134,478,053,680,659,329,
058,461,650,155,857,844,858,237,258,792,450,905,665,638,217,414,836,709,914,
446,141,830,766,881,344,550,938,909,173,349,343,531,966,845,676,055,269,555,
927,731,661,270,462,052,562,295,261,807,382,612,949,385,681,260,423,527,879,
109,706,523,187,043,709,787,467,685,013,539,514,701,150,950,699,668,886,754,
397,653,606,158,641,199,026,491,011,099,312,063,169,693,809,470,810,512,667,
101,694,588,363,790,419,946,502,976,787,448,384,194,555,562,577,314,852,350,
258,562,671,834,279,726,484,873,512,100,605,579,557,777,812,077,485,156,083,
762,965,838,344,617,496,126,691,227,023,297,463,133,031,111,184,441,260,223,
539,163,961,228,934,086,040,487,609,694,540,888,346,753,683,916,989,987,680,
725,743,165,882,315,606,930,787,734,235,720,176,375,792,798,775,307,413,980,
490,859,772,473,905,093,901,926,757,611,891,939,466,987,419,117,382,155,608,
541,293,631,403,410,648,375,462,835,530,441,746,890,036,798,144,039,009,855,
537,154,961,823,090,351,196,810,256,266,007,432,317,520,363,162,033,505,612,
102,766,848,055,566,618,621,704,112,268,128,901,224,439,464,756,735,610,226,
947,301,699,370,800,324,144,284,247,951,297,055,690,765,875,819,824,916,479,
665,234,226,314,437,304,056,630,318,483,976,778,437,134,656,003,773,056,491,
941,926,559,835,300,404,223,997,374,000,899,794,349,792,746,266,786,262,666,
442,791,135,889,374,843,272,233,578,719,127,978,740,855,959,593,702,487,129,
123,245,748,099,948,876,985,408,764,811,422,799,671,003,680,767,601,140,200,
917,848,272,733,547,404,469,456,321,085,746,249,009,648,548,401,215,880,639,
620,952,303,501,882,757,105,652,855,732,853,310,621,406,248,327,219,196,920,
302,613,744,277,444,083,346,925,084,799,596,797,175,257,026,135,733,854,235,
680,573,399,587,883,064,647,316,733,138,272,822,852,332,884,951,655,522,343,
144,182,471,123,590,364,741,981,258,285,008,359,116,036,991,923,980,486,117,
643,935,026,345,624,912,443,634,895,094,764,823,183,534,076,644,704,506,843,
671,263,521,781,732,880,436,422,847,619,054,466,851,481,076,692,474,512,790,
796,670,290,785,467,623,284,902,802,119,953,630,866,561,113,051,759,018,121,
112,161,157,955,189,127,251,103,181,197,714,967,275,243,175,045,095,007,748,
418,733,186,378,903,834,104,902,471,688,628,729,134,306,674,948,101,008,268,
049,309,109,473,919,966,206,420,522,917,937,301,012,337,581,684,981,340,481,
549,714,124,036,731,248,425,780,020,185,164,202,560,465,423,945,402,631,756,
622,739,472,672,806,695,368,796,247,046,049,258,216,715,499,014,445,679,366,
547,870,501,283,532,741,009,378,979,557,674,336,280,056,333,940,577,815,035,
188,096,101,204,403,130,939,303,462,142,616,127,015,303,914,372,135,468,996,
967,952,340,810,292,578,007,431,989,613,599,859,969,496,931,283,075,761,609,
772,589,588,494,809,502,915,063,766,351,996,656,179,240,698,164,597,852,219,
199,794,094,227,578,685,838,901,880,893,414,358,753,050,486,082,704,089,647,
979,120,563,642,033,762,751,230,432,598,928,073,297,054,010,830,119,256,113,
941,239,819,867,792,643,205,999,783,371,649,387,469,532,298,277,622,192,609,
627,997,961,240,222,841,579,821,130,002,552,700,832,040,940,389,796,516,913,
208,648,504,872,446,719,246,980,604,380,333,511,582,980,211,011,282,994,669,
283,198,066,629,064,287,454,412,109,345,744,568,195,917,099,334,838,770,923,
269,249,640,853,211,751,631,504,698,158,479,585,869,301,738,654,585,078,325,
202,013,979,239,828,460,984,492,397,121,549,605,606,358,813,796,035,260,071,
665,793,131,759,839,957,706,407,928,432,403,281,424,265,712,431,448,120,087,
291,062,816,066,166,409,797,371,459,384,857,715,904,352,792,126,272,488,450,
564,619,740,074,748,011,818,109,826,204,655,497,350,236,877,095,185,051,828,
960,967,749,511,208,573,956,531,288,033,538,983,881,085,708,378,024,092,664,
972,921,221,269,701,244,209,941,015,524,397,743,244,244,561,980,927,225,345,
922,573,403,403,909,100,546,708,791,498,085,817,623,635,382,620,228,313,524,
807,871,885,841,875,165,515,066,082,225,939,620,588,512,162,529,540,337,642,
542,364,512,336,155,151,554,728,369,282,099,869,004,185,923,090,904,317,645,
864,515,154,471,565,145,639,076,580,470,854,466,081,340,066,416,780,863,834,
629,089,004,447,856,504,750,008,354,185,029,765,755,711,010,735,284,574,132,
893,106,745,929,226,882,680,543,414,078,147,170,984,222,203,555,936,451,557,
219,049,982,511,420,202,186,225,560,241,113,514,355,701,659,283,033,554,300,
343,479,695,947,256,516,558,822,717,121,288,831,283,808,358,507,514,453,894,
626,505,243,622,257,612,196,436,161,629,079,131,141,234,540,815,749,809,391,
248,166,138,167,027,309,737,374,737,878,573,394,795,973,313,418,753,281,851,
259,159,914,370,458,828,994,523,405,683,972,783,833,936,052,405,181,068,532,
730,327,688,654,811,233,444,401,930,289,300,148,797,285,054,728,033,157,522,
826,057,772,973,493,579,382,797,905,713,020,332,058,674,925,985,998,164,553,
554,326,131,127,674,392,140,802,649,358,723,745,791,180,235,876,302,323,436,
831,001,456,383,009,434,539,624,102,803,815,552,487,233,621,311,505,911,519,
503,127,767,484,932,545,059,928,015,532,232,261,038,553,491,246,027,969,464,
476,465,112,202,990,999,208,150,433,065,105,026,154,363,246,125,492,857,561,
079,653,579,345,528,151,240,456,331,676,415,941,790,969,063,406,226,037,755,
693,265,713,260,889,959,086,484,904,207,128,849,135,846,686,078,249,439,643,
253,806,383,700,190,983,635,356,127,995,025,516,847,336,719,906,505,137,386,
372,211,119,275,915,697,039,879,647,704,275,080,492,598,521,453,099,438,582,
796,403,786,406,601,444,470,790,313,582,165,062,168,245,232,418,488,418,424,
667,504,755,706,082,157,455,203,756,724,838,938,236,294,525,158,142,310,847,
148,854,421,575,280,291,979,404,843,395,855,555,410,556,238,203,229,552,040,
418,001,226,058,349,538,690,756,412,017,909,773,494,914,575,823,346,249,166,
506,236,814,831,001,923,351,042,832,187,938,228,726,998,163,796,086,043,961,
291,449,629,814,397,103,421,110,133,443,861,972,535,337,780,789,786,893,589,
935,891,292,225,666,922,474,020,181,876,460,800,346,770,779,505,334,329,794,
308,890,938,445,692,542,498,535,825,505,646,611,450,372,781,849,529,243,679,
792,099,417,790,016,461,941,528,369,253,565,039,500,203,608,704,908,321,017,
945,341,886,483,233,099,740,496,682,805,318,548,537,962,818,205,902,919,647,
203,746,975,718,572,707,409,749,590,152,475,018,315,339,084,199,508,360,385,
576,815,824,134,683,130,813,689,848,880,248,529,504,171,377,958,155,816,313,
067,680,408,614,164,273,573,243,891,353,099,509,830,426,634,619,231,551,514,
581,583,889,668,780,773,934,325,007,689,075,329,655,142,812,585,123,949,444,
416,843,063,797,631,151,534,584,232,606,173,962,470,800,489,606,186,290,378,
182,512,459,905,271,020,607,068,178,229,605,205,498,640,583,580,360,651,366,
277,617,289,100,432,670,202,217,779,822,703,365,851,977,199,469,409,883,121,
493,575,529,184,489,868,514,021,507,797,599,304,458,375,824,250,856,421,277,
051,816,029,709,854,496,665,056,165,446,512,014,516,410,270,919,430,357,417,
822,439,877,092,314,988,977,187,201,628,058,706,703,690,331,413,705,780,406,
087,964,798,129,485,784,533,185,886,877,807,613,383,230,664,168,406,048,236,
619,716,426,936,941,362,546,482,247,838,738,912,473,006,337,594,848,905,886,
847,782,467,342,484,766,851,586,366,741,232,063,379,925,421,466,603,012,182,
764,157,946,764,153,487,097,181,054,882,372,370,756,797,023,863,270,570,854,
909,794,854,085,897,809,623,996,810,581,725,092,288,492,108,389,175,434,057,
436,972,636,822,009,328,803,749,012,329,008,827,480,442,043,654,472,556,898,
469,362,435,227,611,558,069,548,259,267,373,930,302,151,718,129,811,963,188,
273,467,647,536,963,574,165,632,101,958,839,762,875,883,691,135,630,690,419,
061,210,371,685,445,991,313,090,453,979,786,258,225,984,544,790,924,424,408,
542,514,869,102,371,594,211,300,243,826,988,220,574,999,672,108,101,427,842,
126,221,123,599,843,701,712,039,428,579,124,374,433,183,397,144,178,626,885,
021,330,843,293,386,369,478,852,544,085,429,329,983,014,555,586,366,500,607,
496,349,814,846,959,723,019,896,751,645,452,366,131,697,672,528,952,270,829,
106,320,012,157,113,199,787,104,236,152,322,086,809,717,098,166,352,644,565,
334,931,358,141,789,990,944,111,814,814,301,410,561,854,071,866,144,226,616,
895,575,211,316,651,081,346,600,733,747,119,702,170,329,285,074,967,593,988,
530,435,916,490,316,028,074,066,267,626,630,621,863,584,108,343,816,638,084,
479,486,370,796,340,295,328,358,314,887,031,650,260,509,487,382,953,496,391,
011,882,238,456,501,725,294,223,637,246,194,800,897,967,072,058,670,739,432,
158,530,997,711,332,222,980,808,315,433,828,664,671,153,804,170,513,037,951,
533,029,343,180,394,721,416,631,504,595,267,108,332,475,356,804,406,791,214,
668,330,740,370,505,694,431,450,798,275,935,805,947,641,310,039,226,483,696,
872,080,219,007,489,179,968,406,296,570,306,410,771,837,911,450,877,476,551,
865,899,280,818,031,392,759,002,903,491,149,825,867,506,573,700,810,248,145,
231,945,090,470,515,202,150,516,835,932,711,819,080,308,088,553,264,595,930,
839,979,562,991,007,967,636,851,253,454,090,555,135,781,609,763,826,972,951,
627,840,359,987,963,930,628,953,764,941,236,630,930,840,606,495,547,508,966,
199,165,862,171,454,667,245,146,515,803,976,247,212,408,043,582,849,146,309,
574,945,674,379,641,093,603,598,605,338,960,113,724,657,189,016,625,891,492,
923,962,065,012,941,916,634,905,521,147,854,213,271,810,752,474,191,025,794,
995,237,324,258,085,371,897,398,449,369,481,885,807,520,071,861,323,080,341,
774,913,345,283,644,122,096,856,331,771,325,361,619,719,137,059,722,499,650,
342,400,012,695,939,281,103,330,374,877,155,604,565,556,534,961,218,710,985,
982,880,112,495,561,093,504,495,528,087,854,342,689,807,564,303,064,032,655,
928,382,666,285,858,190,061,417,863,433,895,480,266,092,699,802,376,810,576,
236,414,471,213,306,469,244,560,619,953,398,392,519,635,192,736,059,800,623,
643,810,766,060,590,705,460,241,553,621,267,254,563,197,422,714,887,253,663,
690,167,794,431,340,668,693,471,824,168,056,097,497,385,023,224,144,781,022,
591,031,734,741,746,294,182,898,866,321,352,207,177,531,756,777,142,292,558,
579,326,570,489,122,636,490,392,763,702,826,458,732,154,763,851,527,361,193,
417,988,474,277,069,893,971,627,751,790,364,641,311,279,924,106,751,731,839,
813,844,867,020,594,469,552,243,843,361,054,645,039,761,357,923,353,291,040,
850,591,905,209,181,962,142,429,776,409,315,694,776,609,919,019,336,221,008,
914,244,455,282,648,978,977,523,075,486,408,607,858,449,799,375,321,187,140,
045,982,725,961,673,958,883,612,438,001,523,182,155,776,861,604,816,203,310,
544,020,653,216,191,088,536,956,787,650,563,215,691,648,038,885,320,845,292,
071,234,467,325,316,422,911,044,827,117,543,948,298,086,499,181,129,204,916,
011,289,582,845,883,995,205,314,694,312,569,177,484,419,474,127,325,558,127,
347,575,016,931,035,850,274,275,844,643,514,907,774,581,213,932,115,400,344,
554,757,773,439,394,550,164,964,908,882,894,525,958,234,163,341,722,116,566,
572,292,957,068,636,916,076,576,215,032,465,141,445,857,670,542,817,908,892,
917,309,357,018,612,200,921,731,151,713,494,661,779,337,885,580,020,409,564,
357,645,432,080,888,754,883,776,935,615,702,786,510,823,728,843,880,109,044,
472,588,790,811,355,352,633,621,015,409,497,297,006,745,820,735,304,893,443,
369,152,703,002,708,947,014,902,894,155,260,679,861,210,094,921,866,760,437,
941,115,801,386,880,058,111,330,889,197,424,814,627,686,561,741,023,168,637,
926,042,754,922,011,357,433,264,585,699,172,452,289,088,115,283,464,293,242,
778,652,824,551,711,925,927,767,285,164,596,199,791,526,921,115,675,542,134,
241,122,049,764,821,251,931,840,070,140,228,450,680,043,105,704,467,087,860,
279,495,660,659,932,213,348,877,685,991,800,067,446,986,328,259,765,163,941,
234,038,815,406,275,539,694,009,154,095,826,792,455,531,156,833,820,462,774,
467,481,406,228,124,780,898,173,315,877,457,434,948,402,145,644,925,276,442,
349,081,496,309,172,305,590,168,302,832,741,440,362,886,813,819,465,155,689,
109,799,636,470,121,627,857,498,540,866,451,431,797,827,112,695,255,553,853,
211,096,443,749,844,756,215,976,533,678,382,831,968,989,562,454,732,560,937,
690,092,681,335,799,945,581,249,885,898,163,590,120,995,878,484,103,844,266,
526,817,168,852,165,945,541,413,213,916,704,055,202,435,943,896,617,950,968,
376,625,927,707,737,941,922,846,634,017,702,752,526,951,161,071,000,877,786,
334,545,178,533,138,794,685,549,463,221,675,318,574,977,848,970,510,376,628,
980,167,856,416,333,943,963,788,474,042,867,742,838,081,791,361,646,332,190,
326,577,587,843,418,270,823,987,798,571,762,574,465,388,661,016,538,257,683,
993,957,937,463,997,425,021,456,102,007,984,064,798,303,141,522,395,279,981,
896,617,765,428,781,040,464,903,693,801,611,810,780,363,029,886,292,131,957,
778,512,277,852,073,023,221,217,228,039,038,947,487,476,267,283,555,783,523,
425,627,326,471,730,922,631,154,473,933,587,448,895,915,557,821,101,525,823,
254,564,351,722,213,100,287,574,182,773,721,206,993,911,031,388,503,158,117,
290,822,956,726,404,262,093,715,184,938,827,638,981,934,416,478,703,361,731,
073,890,625,964,963,403,648,856,153,275,463,022,067,763,482,890,485,017,429,
505,911,392,849,037,463,307,962,079,015,799,753,755,136,067,875,407,403,999,
979,537,906,561,219,810,377,278,216,274,335,103,256,995,564,628,027,269,170,
984,038,343,804,948,763,731,542,193,390,226,357,623,936,811,133,198,101,673,
110,525,446,215,260,329,136,832,763,362,545,430,561,791,365,148,584,896,430,
058,077,230,256,604,388,762,429,706,827,092,023,889,329,779,458,559,916,371,
720,133,784,567,778,175,939,535,613,297,207,333,530,755,991,557,623,480,151,
829,418,028,209,476,330,290,388,202,763,274,894,028,619,579,322,832,129,596,
797,622,112,872,795,113,400,660,042,485,002,374,480,337,360,105,038,557,206,
825,424,114,335,603,907,144,687,429,691,796,740,803,277,026,726,410,986,337,
586,288,822,691,188,659,367,356,532,788,678,154,694,131,801,034,198,325,217,
407,787,424,273,531,514,082,539,237,393,384,812,163,123,995,504,289,239,404,
870,391,607,456,013,831,935,775,010,294,205,651,473,897,684,572,776,691,399,
161,817,248,664,425,020,350,287,493,010,646,265,978,899,705,699,946,342,542,
617,549,918,572,835,275,599,924,369,548,178,723,949,010,089,845,146,820,687,
910,091,951,830,227,570,024,784,014,177,990,607,460,930,318,404,289,141,110,
535,073,554,558,372,757,441,044,419,982,024,808,101,672,542,479,147,093,368,
197,092,518,012,040,372,076,213,531,832,177,153,698,746,345,565,886,597,835,
251,678,382,356,001,811,965,191,543,440,314,267,175,445,139,535,895,025,460,
174,558,384,159,946,355,744,439,564,157,586,209,066,904,410,382,083,657,772,
786,712,532,732,654,307,830,206,459,439,012,378,966,332,711,153,426,375,528,
812,208,863,307,315,043,039,488,422,685,515,751,770,176,844,462,261,885,541,
457,863,396,411,189,083,443,733,202,401,211,865,396,929,489,365,776,054,307,
070,997,970,807,706,665,800,319,562,025,075,495,161,342,326,644,934,197,387,
022,739,345,022,778,668,248,660,562,773,472,973,625,105,354,038,510,952,085,
159,608,414,155,013,241,888,930,246,232,984,489,291,530,765,576,545,143,809,
934,947,058,967,685,294,806,567,342,694,340,555,517,579,954,305,270,519,987,
754,089,156,472,882,029,077,757,037,030,445,275,323,220,103,612,126,645,299,
632,900,879,370,133,493,835,373,371,276,243,524,270,065,734,785,310,844,757,
705,144,515,224,263,034,236,644,138,517,410,041,498,013,020,255,658,804,025,
334,527,973,115,880,664,624,301,097,377,865,701,956,598,781,750,503,368,392,
866,998,717,520,973,660,181,790,838,575,836,966,967,398,206,939,435,899,951,
367,451,099,809,926,422,800,110,474,418,844,593,642,986,012,316,079,888,145,
270,577,932,261,285,488,804,868,160,505,525,152,296,296,290,492,506,698,529,
755,699,457,484,676,268,885,830,723,151,721,241,472,790,683,107,080,886,222,
605,963,045,008,562,297,030,581,208,474,116,049,031,700,993,569,969,108,371,
273,201,463,320,141,516,839,337,956,362,970,687,190,406,707,497,244,140,341,
929,574,028,087,164,632,567,497,728,573,542,311,118,905,784,167,663,558,750,
610,707,318,831,326,875,902,819,159,547,729,777,860,468,978,820,878,194,416,
367,780,749,953,863,706,010,334,809,887,230,580,501,771,484,053,278,117,960,
780,825,706,926,797,755,918,228,481,414,888,659,885,548,969,184,370,516,379,
451,469,991,488,436,023,045,296,811,221,839,476,904,772,358,973,515,163,545,
457,734,961,872,710,292,616,224,941,432,378,878,332,780,018,849,520,195,067,
748,025,468,106,994,129,204,104,377,581,569,331,174,873,870,712,311,336,992,
780,739,387,915,025,287,119,109,795,353,238,266,623,102,159,345,567,565,083,
972,432,733,113,793,466,412,593,571,293,752,614,704,203,335,527,152,593,901,
185,442,535,391,907,137,029,339,434,586,134,649,833,677,057,446,238,807,244,
110,968,220,798,621,356,632,405,397,486,205,332,134,922,979,482,282,969,920,
179,414,399,354,679,378,565,079,738,822,323,485,705,596,828,888,906,717,590,
930,239,176,378,420,096,069,906,329,117,558,054,462,693,988,112,883,234,076,
556,933,688,085,201,498,843,818,205,161,739,083,338,693,337,182,216,341,389,
714,801,904,714,129,042,652,554,337,931,328,533,964,973,066,040,034,131,061,
905,367,710,501,293,728,322,566,834,389,608,506,321,362,104,851,815,517,001,
308,159,142,069,087,989,177,997,644,731,890,858,745,101,178,437,769,482,214,
590,635,242,706,907,645,239,606,655,121,247,555,917,931,512,557,091,447,615,
326,094,610,549,052,821,411,823,845,519,243,779,019,235,917,003,656,541,789,
621,115,811,733,388,690,023,743,916,933,820,449,526,028,411,123,471,129,987,
930,770,527,073,624,495,742,464,928,795,808,428,465,989,595,299,452,319,953,
909,211,055,251,897,712,363,878,393,108,657,393,186,036,811,039,441,041,761,
787,607,052,910,295,568,061,090,738,106,982,381,678,497,521,333,797,142,614,
915,594,011,777,609,729,152,348,600,539,854,185,127,283,341,341,784,256,697,
761,072,431,810,072,488,727,977,802,644,186,030,941,252,183,552,692,588,720,
761,931,296,777,385,630,704,293,951,701,743,064,723,471,844,793,494,926,359,
399,998,497,028,724,963,668,183,882,699,642,590,018,072,482,640,469,409,757,
006,371,947,257,995,686,392,659,406,132,353,070,009,292,030,464,102,480,970,
888,975,250,731,010,949,268,293,329,586,885,480,443,498,114,032,551,327,322,
518,629,810,986,923,242,710,264,478,293,399,558,981,159,941,218,362,790,128,
120,092,476,138,967,198,456,922,198,748,777,928,284,787,033,000,449,056,018,
231,678,318,954,472,911,363,773,520,660,827,314,447,823,582,077,719,592,515,
874,042,554,879,412,153,881,813,525,645,754,364,444,858,203,251,501,815,282,
675,797,854,993,819,763,265,365,891,470,775,385,433,745,325,293,098,997,040,
691,856,741,954,110,569,917,805,456,422,273,752,697,583,796,717,830,257,282,
246,158,386,796,066,724,357,834,477,466,056,422,498,841,348,450,389,080,064,
480,823,428,251,502,901,254,253,598,315,686,346,864,422,960,851,857,440,777,
490,117,977,540,044,171,280,855,127,537,256,465,602,001,343,491,843,536,948,
004,381,739,383,520,856,799,831,524,386,648,442,202,748,834,551,358,183,691,
573,869,678,514,233,905,591,503,393,199,264,899,884,091,021,101,694,942,799,
973,060,529,632,204,092,452,070,258,738,238,382,500,468,135,114,463,201,501,
117,281,478,960,939,135,957,621,429,558,658,468,060,695,925,990,841,087,130,
431,743,726,556,455,439,381,273,887,796,725,194,143,592,674,892,810,017,026,
689,984,983,460,380,279,827,867,577,701,379,863,218,651,381,539,644,418,882,
198,835,680,950,571,589,506,721,161,526,493,506,554,188,823,582,250,587,056,
015,443,404,001,623,473,113,790,765,555,203,468,976,801,270,646,742,016,993,
347,052,145,094,597,126,170,874,524,091,731,432,455,068,061,609,470,500,334,
098,853,135,957,105,215,229,319,847,019,461,030,984,622,459,557,196,275,599,
674,777,331,704,108,075,217,193,212,666,412,506,759,293,436,854,580,571,012,
438,364,195,666,945,526,619,969,341,203,842,886,171,987,790,766,690,785,153,
764,610,548,430,829,627,826,349,883,023,328,992,279,231,285,026,370,101,943,
494,574,618,159,019,113,943,085,687,236,053,094,349,895,187,135,976,260,430,
632,837,781,528,671,283,115,649,664,550,290,663,534,908,328,309,096,726,908,
254,450,824,949,820,656,485,353,224,970,575,640,627,125,153,080,858,332,549,
629,772,581,582,436,801,709,795,219,794,802,946,122,652,113,951,379,507,997,
126,994,381,981,967,256,880,604,271,025,326,572,308,391,483,278,206,583,699,
944,634,156,242,481,127,738,845,715,029,460,488,696,669,246,614,161,128,135,
254,490,404,173,781,012,763,236,971,423,929,309,786,033,666,683,965,016,786,
310,412,408,304,073,998,433,487,223,525,716,419,975,096,903,155,212,044,889,
526,505,770,423,936,264,244,299,368,255,243,869,216,335,489,066,261,869,091,
088,320,206,236,092,225,222,365,549,077,447,608,505,377,417,680,521,622,306,
738,434,836,999,514,518,514,353,220,201,615,429,484,775,980,978,244,845,780,
904,135,866,345,959,586,362,105,097,102,424,230,827,014,569,540,671,812,848,
434,713,612,939,566,486,166,780,355,486,805,075,944,407,761,715,484,440,886,
472,525,213,998,834,104,506,486,955,171,585,037,458,930,093,596,357,946,667,
218,624,737,217,162,060,149,041,445,276,977,315,605,910,641,287,289,720,557,
520,489,707,418,077,272,510,968,008,530,645,429,140,164,885,531,443,639,053,
845,382,586,001,819,002,086,899,100,454,945,461,152,656,171,957,889,193,626,
210,907,044,675,879,356,858,408,246,970,912,910,173,879,832,989,746,842,613,
315,246,077,861,208,179,663,313,377,368,230,406,452,685,272,615,960,823,355,
689,607,372,094,711,213,600,754,864,542,329,453,098,605,940,994,779,874,806,
534,152,891,526,504,706,980,448,853,953,778,854,798,113,124,894,157,485,190,
823,826,627,839,745,722,930,034,035,406,907,423,033,877,373,761,990,756,181,
998,993,170,755,512,193,095,202,374,501,349,954,427,619,167,109,996,600,099,
169,868,714,521,079,421,456,331,772,109,515,922,959,604,840,925,109,522,671,
197,273,452,628,026,082,810,363,621,860,622,788,817,905,069,913,450,544,865,
428,708,190,919,753,654,716,585,777,603,041,036,691,035,421,923,757,686,216,
978,948,989,306,845,107,387,239,539,686,704,163,306,016,330,169,849,921,821,
357,445,338,189,933,633,025,449,471,962,835,396,023,967,362,722,550,897,494,
734,433,725,347,430,325,226,118,173,718,432,822,170,948,351,026,761,814,374,
962,887,634,292,653,920,090,244,217,459,341,421,000,279,870,515,400,737,578,
834,251,214,179,784,808,555,075,402,949,499,277,200,219,162,269,618,781,378,
013,783,259,823,029,039,150,720,550,538,556,059,925,965,250,195,157,374,758,
247,343,270,075,223,493,406,353,789,282,885,180,553,155,563,296,549,260,110,
025,681,692,091,747,552,663,395,092,151,332,469,503,788,602,577,102,827,949,
842,490,247,346,116,163,072,751,305,409,614,180,200,090,302,189,301,249,716,
182,067,731,081,457,901,952,342,607,921,166,205,664,005,846,637,868,492,645,
533,194,795,012,595,118,166,313,702,440,888,925,869,172,452,477,788,350,829,
036,099,161,475,809,914,293,069,922,423,589,281,071,849,538,157,131,499,606,
742,375,121,822,318,660,536,190,186,868,673,384,421,709,686,112,806,823,902,
683,101,783,928,074,829,212,199,979,619,481,101,528,484,748,549,271,062,464,
655,732,890,781,729,766,494,351,479,301,912,343,156,724,452,171,882,414,045,
165,183,487,735,050,646,342,424,785,494,740,747,754,093,001,906,890,711,698,
186,220,501,950,832,873,837,774,645,012,892,437,700,041,251,558,239,498,748,
326,738,123,078,090,502,238,378,708,845,985,292,591,132,462,681,168,950,290,
297,540,026,036,197,338,024,717,759,813,054,600,717,853,658,534,648,296,697,
351,224,400,697,152,662,189,372,210,222,192,489,482,367,406,971,593,292,022,
558,271,264,727,561,760,698,562,883,974,903,406,818,094,027,801,598,920,727,
181,931,478,525,625,445,546,166,028,566,420,799,989,992,724,009,960,524,247,
719,006,273,155,987,703,127,466,554,789,309,728,849,421,296,679,973,286,329,
122,350,132,401,402,357,507,263,559,258,314,713,599,460,894,833,969,417,037,
529,872,154,895,797,522,626,721,559,689,983,173,715,533,032,798,471,813,326,
228,087,902,545,802,478,401,820,725,455,226,262,394,665,711,664,368,637,659,
978,669,082,183,341,106,905,062,220,534,275,534,796,979,384,738,122,085,086,
036,586,080,634,884,823,345,163,198,618,306,518,319,239,106,417,556,415,238,
527,964,812,064,378,054,823,387,308,442,649,030,774,907,698,029,755,598,439,
995,695,328,113,757,053,433,741,387,810,415,227,944,084,418,670,212,871,284,
491,312,010,212,481,172,851,160,506,184,240,410,795,197,001,828,480,511,437,
954,354,146,546,071,502,715,402,524,713,045,695,084,702,730,460,989,657,687,
790,934,577,028,090,767,147,790,429,506,202,816,582,516,467,730,329,104,630,
699,844,777,666,965,016,268,733,649,839,040,860,703,378,716,291,301,722,217,
797,432,782,929,952,656,520,274,970,337,394,836,710,668,650,834,360,835,883,
876,013,559,210,665,597,400,016,622,576,575,558,936,889,828,953,170,737,382,
649,169,003,722,212,466,748,494,865,992,737,375,429,111,248,188,256,065,365,
592,537,691,168,289,898,947,584,745,280,799,638,302,043,778,583,161,819,312,
613,988,689,452,168,298,272,467,798,093,781,976,783,117,413,709,587,701,606,
335,003,453,828,212,475,115,677,392,506,775,350,854,820,998,211,912,438,480,
144,282,049,939,064,486,584,092,971,911,139,568,964,782,208,179,957,531,585,
467,301,106,982,508,331,519,259,375,316,042,241,614,449,646,197,449,983,947,
550,422,906,086,107,850,897,321,200,420,682,810,880,888,289,060,244,594,020,
812,189,641,276,347,132,153,001,463,166,007,038,666,658,972,947,348,643,874,
663,732,644,040,056,921,537,432,531,832,289,401,764,154,080,211,446,489,052,
673,254,752,759,444,142,913,725,188,054,229,888,685,365,065,866,966,772,732,
702,393,616,522,587,860,736,649,970,819,411,771,531,131,657,279,336,955,225,
034,592,410,242,097,609,340,777,898,318,929,056,438,169,969,165,935,609,468,
000,172,137,458,841,194,961,911,932,533,428,564,171,029,107,228,088,959,251,
325,739,616,379,168,757,858,200,282,642,186,373,798,202,122,137,889,042,765,
380,909,596,916,997,587,202,754,540,028,608,712,919,860,953,588,893,299,601,
360,020,362,713,736,015,626,358,906,087,449,026,655,765,803,147,759,217,205,
248,940,345,055,178,261,605,638,958,085,246,483,406,649,986,160,981,395,196,
733,310,520,777,269,181,552,713,175,839,951,328,311,162,799,364,427,348,245,
821,381,434,626,379,686,578,239,494,679,813,565,818,463,630,624,562,042,423,
251,423,321,709,099,077,391,993,715,951,216,139,447,511,677,894,635,993,638,
921,911,775,935,017,829,067,917,129,885,103,680,027,462,744,222,824,944,052,
160,618,945,724,065,365,692,368,017,503,673,744,130,425,545,005,499,550,601,
395,098,053,507,159,930,114,132,985,422,567,654,038,837,999,744,265,842,382,
505,636,380,380,113,559,177,192,430,860,498,518,282,832,652,956,273,508,977,
273,068,226,716,404,941,760,698,044,717,146,747,319,610,898,345,459,687,389,
646,920,785,165,927,820,583,867,470,184,360,886,245,412,055,205,054,606,122,
554,596,499,832,081,154,067,927,564,819,966,757,137,910,309,460,269,022,029,
952,402,916,268,739,500,565,047,379,084,264,109,147,841,711,085,434,240,520,
621,499,533,144,872,261,284,279,617,209,028,911,410,572,820,423,749,389,921,
848,326,847,455,525,728,298,716,351,502,513,412,999,551,093,812,107,455,412,
156,260,793,112,216,920,719,210,132,494,594,638,616,464,438,271,066,698,157,
487,948,661,120,830,361,338,317,870,232,032,550,935,580,102,892,320,404,667,
903,136,326,081,287,020,143,985,763,859,797,335,623,282,015,473,924,881,972,
471,219,733,696,504,504,246,865,691,847,005,975,005,011,177,063,756,638,400,
307,575,130,693,733,918,497,101,060,271,072,807,771,504,543,591,065,371,487,
186,389,087,691,611,575,682,586,538,308,187,705,779,203,090,360,141,554,271,
825,455,430,369,029,533,163,010,619,611,516,791,678,057,672,897,804,985,779,
816,445,801,234,588,075,457,178,812,473,322,401,486,651,544,507,490,921,266,
587,721,328,283,416,190,741,699,539,683,852,597,450,902,159,371,706,880,438,
715,985,758,793,032,947,721,312,258,294,649,136,293,764,558,521,957,228,769,
190,324,463,979,564,170,343,572,116,558,227,305,220,658,515,670,512,929,954,
831,823,196,009,911,697,586,169,843,255,707,849,867,807,696,559,479,857,192,
917,874,392,238,103,610,826,513,807,991,785,716,539,366,966,603,714,549,477,
042,924,964,201,632,255,471,118,309,314,809,387,155,601,529,395,338,659,554,
803,773,948,706,891,837,269,840,036,880,197,825,772,006,976,077,745,816,751,
141,884,640,603,231,852,407,119,772,802,456,763,947,057,272,336,318,810,737,
897,513,873,766,054,258,867,345,089,125,238,351,712,637,678,279,910,323,910,
283,419,876,751,473,176,183,228,262,381,388,584,458,789,882,613,595,517,909,
825,586,691,443,686,258,855,316,179,020,060,312,701,039,123,659,429,877,246,
740,651,684,926,578,571,729,700,832,288,882,770,721,253,023,755,522,072,149,
409,963,987,245,804,503,765,383,763,087,211,019,847,815,921,788,943,475,333,
773,919,448,294,410,487,603,074,936,673,617,552,760,240,137,776,497,732,546,
477,513,063,380,858,627,831,891,467,533,757,308,398,827,386,183,014,335,751,
178,378,494,623,924,303,338,479,563,897,783,832,721,675,721,101,090,112,064,
967,972,797,909,804,656,484,090,996,571,396,560,420,881,346,091,569,283,596,
036,255,835,579,523,195,235,017,148,883,289,270,353,567,862,569,837,421,773,
719,868,547,979,498,328,122,215,509,914,616,108,961,940,056,495,086,259,276,
306,642,035,030,680,108,336,030,527,929,264,323,396,191,576,785,438,601,875,
200,187,349,027,991,485,110,274,431,182,111,946,248,381,805,959,538,006,846,
080,599,192,006,520,239,859,042,919,982,359,529,407,523,142,929,390,184,025,
152,683,005,402,055,257,827,579,905,264,728,810,919,527,853,180,165,763,931,
565,674,274,244,933,362,253,915,281,372,832,063,772,591,074,448,029,150,511,
406,525,318,642,818,257,811,780,670,124,210,784,856,670,128,335,024,058,615,
845,238,640,384,426,910,750,043,280,819,309,383,493,798,855,930,127,490,131,
790,104,218,894,631,093,268,851,371,448,926,900,238,766,594,062,914,683,530,
005,247,968,648,604,148,250,833,012,301,783,825,362,838,618,535,671,871,212,
219,036,366,766,652,820,485,735,648,594,436,712,839,669,362,568,995,226,794,
304,561,536,448,257,851,533,212,210,382,489,004,340,181,907,923,311,946,543,
117,481,945,064,201,565,700,659,542,374,044,164,823,738,854,797,311,550,058,
368,061,092,736,981,425,493,985,467,505,682,995,670,567,630,769,299,811,623,
604,935,567,328,973,200,617,019,176,617,433,532,735,682,596,413,646,033,431,
125,207,504,486,010,317,843,138,005,387,208,705,193,856,854,985,906,149,795,
938,578,042,498,826,170,737,892,252,487,685,584,593,750,997,373,035,330,890,
712,268,541,068,001,296,395,271,891,765,091,902,315,464,320,424,417,812,850,
127,266,736,791,341,372,457,789,242,949,593,512,505,153,991,746,228,403,702,
324,275,079,264,914,322,947,050,217,795,152,319,947,994,626,352,051,482,726,
206,928,753,653,095,695,296,104,041,854,821,536,261,969,547,867,824,929,264,
864,457,443,320,228,941,855,128,813,808,881,285,457,045,652,390,578,372,503,
420,843,286,811,732,263,898,355,101,334,250,312,657,967,543,680,440,433,030,
226,913,062,262,641,984,140,487,456,135,703,446,240,484,253,238,638,455,209,
456,366,767,880,028,153,919,357,723,334,957,368,436,919,064,255,574,592,312,
304,136,293,489,754,681,210,355,556,446,729,795,838,858,498,498,491,050,362,
735,597,978,344,482,990,551,021,745,736,281,031,759,656,236,439,342,010,344,
285,865,612,654,988,887,030,519,593,424,019,780,989,134,254,700,988,741,854,
227,009,859,479,745,566,593,913,170,434,690,377,410,067,110,616,886,477,063,
719,826,764,479,356,598,690,188,683,549,397,791,888,092,171,297,565,865,522,
127,663,518,675,395,986,996,599,523,652,191,878,561,921,556,672,014,834,903,
666,296,413,717,780,208,649,414,415,865,596,694,478,781,791,185,766,724,035,
695,908,370,938,579,987,116,890,048,973,610,079,926,763,061,111,733,404,271,
949,044,292,922,990,008,033,886,258,673,301,980,686,167,490,079,987,398,115,
563,108,532,871,788,127,593,583,911,450,644,275,910,655,341,731,791,839,149,
078,171,733,390,344,577,026,637,041,648,234,006,096,295,385,408,787,435,477,
099,700,909,409,865,567,966,202,789,712,717,886,779,047,007,575,821,889,381,
470,401,945,096,099,681,569,937,178,485,342,376,408,377,899,263,775,645,874,
652,178,547,406,202,667,182,236,480,766,909,470,405,081,208,792,429,336,890,
327,862,690,911,833,463,289,580,618,770,250,843,177,503,050,831,403,022,726,
302,370,038,796,439,755,440,270,256,645,518,887,847,132,684,257,390,948,064,
212,652,484,421,810,807,100,194,243,150,700,194,773,792,211,865,097,284,978,
684,000,849,925,433,117,713,606,463,397,874,780,268,624,368,686,751,930,517,
268,177,679,397,681,090,307,487,088,549,224,393,189,972,852,132,471,756,605,
449,312,014,779,511,267,896,074,812,876,712,481,645,918,054,681,112,478,835,
198,717,622,124,546,849,287,102,412,396,585,648,001,288,778,760,344,198,275,
336,860,689,502,405,826,491,280,360,613,943,619,977,345,863,322,701,551,716,
261,610,297,753,741,758,246,635,650,647,231,182,484,254,265,317,319,601,121,
512,628,236,514,402,623,611,329,373,152,453,309,264,779,483,309,501,611,415,
312,484,370,906,825,237,324,749,133,719,589,040,226,586,836,236,976,074,380,
886,364,174,698,524,745,855,862,662,665,289,561,821,908,616,789,313,115,640,
233,232,871,735,753,922,031,369,883,349,826,796,616,126,588,470,429,938,633,
882,956,078,637,265,617,031,959,867,913,680,350,571,216,936,842,716,833,024,
361,738,637,570,736,224,958,902,278,682,627,653,230,054,619,078,920,347,089,
952,535,803,712,528,522,495,853,827,041,961,495,267,678,209,860,212,865,279,
287,489,215,197,617,331,437,100,838,519,029,866,032,984,791,924,155,053,771,
170,761,014,342,785,202,486,797,292,570,241,589,318,806,396,994,468,331,696,
213,303,251,345,501,670,161,660,634,172,476,315,896,874,947,357,088,608,927,
641,183,473,044,448,384,446,550,889,743,510,615,881,546,208,390,979,386,025,
164,413,733,051,529,748,688,024,994,429,827,106,606,857,874,107,522,813,696,
351,991,216,398,354,940,839,859,502,322,200,569,829,394,003,215,804,461,781,
035,092,700,802,796,705,399,902,595,471,210,048,828,656,543,706,694,056,550,
857,514,226,157,742,042,026,234,154,123,043,834,652,870,930,033,781,886,788,
873,705,336,269,944,587,903,884,114,148,854,781,246,844,746,115,907,653,050,
301,864,624,203,120,432,870,325,444,179,994,635,900,294,522,925,538,467,860,
605,796,025,034,447,228,792,658,766,558,103,630,454,093,861,387,576,475,335,
179,060,219,486,039,896,399,481,332,707,524,265,838,525,752,196,774,037,718,
214,218,668,003,722,041,234,408,597,053,606,730,171,497,183,304,223,413,831,
394,422,473,243,774,619,896,224,243,003,177,098,690,182,179,935,307,141,677,
298,786,978,766,263,787,631,195,236,848,722,738,886,485,045,313,953,174,196,
504,396,156,672,967,934,591,885,206,569,044,727,501,823,918,151,264,988,412,
051,860,363,308,794,446,090,544,626,251,981,884,547,051,271,845,305,306,309,
509,330,582,509,026,102,046,880,401,753,954,104,460,749,616,958,595,063,688,
806,859,810,373,314,075,145,766,637,946,686,182,750,016,698,838,185,309,224,
095,563,479,954,460,978,611,075,467,789,297,710,576,092,792,521,108,848,920,
779,979,188,517,715,344,664,945,947,702,268,652,662,833,397,646,911,368,953,
258,789,026,066,375,070,447,964,491,010,815,023,048,785,166,657,133,295,402,
735,605,844,514,254,210,802,977,375,483,665,888,156,053,244,129,278,124,827,
690,560,078,038,457,177,917,606,971,215,235,253,868,480,023,485,424,860,529,
091,790,952,151,571,473,163,215,343,038,870,010,375,132,438,174,133,299,168,
619,799,445,342,268,905,817,209,660,276,550,578,820,099,422,641,172,778,618,
501,090,227,439,561,029,207,080,167,297,132,326,060,189,683,163,169,402,296,
114,763,552,322,059,934,153,317,443,219,914,438,350,144,324,894,911,278,123,
744,693,931,871,920,566,322,779,688,869,772,150,148,055,386,871,299,137,085,
706,699,609,779,713,840,113,691,468,945,222,616,981,304,739,925,982,703,402,
598,549,483,128,382,298,854,443,980,982,863,795,534,660,961,701,494,429,510,
564,209,812,362,793,610,280,949,260,817,982,264,596,276,900,527,985,795,167,
678,734,342,820,908,635,240,946,064,595,532,368,107,973,714,798,953,879,559,
520,092,064,083,030,169,636,505,520,208,151,388,867,907,838,301,401,632,489,
495,203,697,233,353,924,702,665,207,953,014,238,424,697,060,912,244,245,152,
742,642,800,971,213,754,236,689,439,255,240,327,409,288,720,001,651,676,930,
834,701,962,073,584,220,902,798,182,210,862,331,663,168,873,296,141,816,068,
393,014,404,976,968,800,421,243,671,972,961,799,068,002,179,913,737,287,054,
539,791,786,190,200,216,134,774,652,374,165,610,890,337,520,869,281,746,873,
706,648,829,841,269,205,122,645,766,473,341,799,577,664,078,976,447,223,903,
124,860,547,866,029,664,646,831,874,446,089,149,027,035,893,389,001,956,696,
673,661,766,500,518,255,247,217,916,340,235,502,291,662,702,770,309,292,895,
497,184,541,608,637,753,153,527,359,898,824,316,498,503,912,589,120,383,017,
808,183,979,388,930,767,139,075,925,002,653,429,744,600,265,332,831,497,004,
893,141,754,567,517,320,050,288,573,707,776,113,620,039,556,810,822,611,654,
865,637,361,858,573,291,552,111,600,962,313,847,070,908,210,868,289,079,168,
216,413,419,918,897,056,760,188,443,416,079,295,087,305,139,700,024,823,318,
189,418,521,089,283,333,227,223,581,899,403,700,150,352,463,498,792,698,949,
506,664,709,234,228,503,619,318,802,371,007,007,789,004,456,206,215,115,261,
008,803,092,277,989,100,188,265,871,013,175,009,580,205,499,777,344,195,033,
945,223,134,770,880,185,054,071,011,103,531,573,865,557,349,806,905,341,524,
765,907,378,607,675,979,695,320,027,055,215,962,282,102,824,603,292,049,122,
351,693,900,179,092,929,252,232,099,682,891,838,088,950,049,019,255,050,992,
178,065,471,083,139,254,154,617,017,626,311,861,498,000,188,096,202,180,279,
736,702,736,328,097,868,399,176,233,654,361,459,921,170,214,929,891,933,643,
238,438,139,918,695,145,309,782,590,198,978,377,922,127,539,403,743,542,965,
796,926,444,125,241,095,042,931,791,330,459,587,312,291,165,058,753,087,080,
539,697,456,575,402,286,514,473,585,063,490,771,408,067,081,126,851,439,391,
740,818,850,132,392,178,762,934,408,445,054,387,582,548,921,057,411,023,937,
247,487,517,485,312,960,173,382,068,365,610,974,551,575,157,479,463,241,693,
647,194,943,387,232,662,636,874,515,966,877,470,593,074,140,672,215,080,832,
442,684,251,416,326,015,593,421,689,875,648,874,332,986,080,436,303,050,776,
309,085,839,133,300,444,581,998,921,082,066,441,445,896,614,285,613,709,066,
124,484,717,276,301,453,362,916,725,336,697,272,397,304,236,641,069,001,736,
552,781,863,748,180,233,689,903,121,005,181,933,962,474,493,754,854,438,066,
079,955,304,930,182,348,689,484,478,945,013,581,269,770,632,048,888,710,235,
817,376,167,862,605,104,162,720,603,403,267,952,846,902,069,082,562,834,019,
536,229,785,109,579,095,884,501,692,025,316,724,101,598,086,734,012,556,366,
321,964,770,349,483,292,545,559,018,987,006,005,758,692,854,728,702,791,695,
595,585,116,287,854,428,139,336,317,498,094,230,677,652,692,903,438,940,973,
804,671,168,981,028,920,587,381,955,966,720,806,209,038,209,951,905,142,811,
603,972,773,818,133,620,235,521,962,159,128,880,275,797,235,967,330,978,934,
399,541,849,259,076,071,881,378,336,310,004,242,702,631,673,255,059,502,870,
963,599,248,520,765,104,897,767,055,812,897,584,986,050,040,199,266,318,194,
259,753,720,021,217,874,475,219,435,590,913,205,113,112,013,383,360,174,758,
795,430,411,325,169,047,374,277,685,973,725,661,841,547,894,067,848,747,233,
698,051,918,538,655,355,718,973,286,254,003,587,792,342,403,533,822,756,611,
508,715,379,658,908,870,138,863,361,560,460,657,174,498,514,793,062,324,602,
925,671,430,118,586,113,806,372,927,863,734,428,303,883,557,601,378,286,681,
514,715,308,005,566,663,511,119,655,714,650,833,467,586,358,174,508,347,093,
423,186,879,868,517,030,759,857,007,514,887,900,973,888,474,411,515,288,927,
623,285,949,239,001,155,265,898,269,033,074,534,175,391,208,093,745,063,339,
687,490,919,973,774,293,797,078,555,850,136,291,262,277,357,592,109,845,412,
719,473,316,488,668,121,272,205,291,408,057,944,463,125,681,575,179,932,573,
409,594,102,343,392,911,894,064,556,604,043,295,669,338,713,993,745,082,663,
269,514,549,702,892,241,322,957,794,657,772,343,695,825,708,318,717,023,758,
592,350,166,678,194,438,157,750,841,357,087,298,308,050,966,302,539,415,185,
756,504,691,211,949,767,885,145,117,495,896,270,511,595,868,206,377,619,044,
171,109,457,495,231,247,706,124,618,294,946,749,089,225,328,553,974,066,680,
952,523,964,076,878,341,906,866,854,874,437,627,968,334,358,126,238,816,646,
669,547,489,120,752,005,816,174,072,635,987,506,475,575,836,051,842,958,594,
854,711,880,462,047,008,750,803,333,882,934,328,090,795,890,807,643,797,265,
519,231,086,838,783,059,128,931,636,314,850,228,541,621,158,832,077,772,241,
471,148,965,034,914,068,547,314,953,736,475,664,089,555,198,079,899,003,943,
602,894,952,735,346,496,611,029,653,479,602,141,943,645,279,735,354,419,654,
155,207,451,552,350,710,436,988,919,975,980,993,104,746,518,509,036,539,909,
514,154,836,629,936,426,222,621,211,516,442,319,640,915,660,837,406,058,379,
428,823,637,830,799,686,611,453,880,758,169,236,505,360,168,207,518,096,320,
790,245,544,797,891,014,249,622,538,031,984,302,410,179,695,273,756,281,717,
376,965,590,327,914,534,616,174,948,079,645,097,063,158,017,048,671,071,796,
817,685,955,307,837,947,625,408,174,690,255,500,178,671,161,384,507,796,069,
745,105,430,177,104,926,685,150,921,856,904,008,432,900,439,183,456,929,144,
887,553,204,016,025,666,717,622,223,340,752,791,780,627,205,763,093,352,025,
571,197,985,647,246,488,366,859,043,455,868,211,290,835,776,306,400,845,435,
171,132,790,641,111,488,220,785,638,783,749,711,993,680,721,886,140,165,490,
854,729,726,628,208,916,311,149,578,174,994,502,418,793,218,711,351,068,699,
930,406,191,651,980,856,253,335,502,926,749,536,170,678,894,868,882,653,436,
359,639,379,887,976,676,224,434,306,892,266,441,056,861,339,265,161,091,417,
336,277,289,790,227,805,373,533,412,509,933,922,068,404,187,038,661,512,733,
023,726,797,935,629,709,242,480,006,806,406,513,972,523,153,351,273,859,330,
697,630,478,093,780,376,049,041,990,992,879,784,092,153,965,640,196,642,067,
025,970,699,401,315,500,756,548,470,560,246,443,184,209,657,854,500,286,264,
209,023,956,871,914,764,572,147,917,595,389,631,900,832,267,241,975,730,612,
585,587,679,628,297,195,047,390,764,347,762,219,150,276,264,383,630,661,222,
911,302,947,043,230,807,060,043,298,042,794,418,644,818,561,045,951,750,878,
337,292,387,904,125,684,866,536,751,306,944,481,129,405,685,048,454,032,883,
981,191,576,545,788,058,676,484,838,291,467,660,447,199,979,986,489,623,322,
624,041,447,342,290,090,107,299,875,099,872,728,147,871,755,204,276,385,124,
930,393,489,618,588,141,352,115,163,512,122,352,763,905,867,612,485,684,561,
056,886,212,082,274,522,838,492,226,965,416,483,073,081,381,526,854,143,391,
486,147,938,996,107,510,977,468,902,085,890,938,305,017,433,450,281,770,697,
188,948,387,726,919,814,901,927,688,615,801,161,933,094,205,025,317,551,847,
281,986,960,250,163,080,419,504,650,478,663,930,526,026,641,997,035,274,028,
889,101,379,944,272,756,749,176,187,076,330,524,212,043,697,037,102,442,370,
870,539,142,543,994,463,433,313,168,630,920,881,162,341,902,350,470,252,253,
792,788,261,070,137,684,747,554,350,730,257,924,102,006,666,012,302,324,905,
705,505,917,220,788,605,889,279,963,421,683,555,924,794,207,338,703,903,777,
848,150,476,273,711,775,551,431,200,293,016,762,546,484,700,886,136,605,002,
142,621,992,957,706,565,327,513,931,615,264,063,425,977,170,909,848,905,201,
285,906,270,427,978,362,874,010,009,940,161,036,964,742,480,712,626,888,751,
312,009,724,743,425,265,208,850,548,098,793,220,270,106,004,339,599,889,996,
514,646,316,750,623,747,599,095,360,738,967,072,644,058,683,031,869,815,423,
949,639,120,927,582,990,371,402,220,221,988,195,372,144,891,037,553,451,807,
629,079,359,118,815,599,312,043,623,467,870,794,093,247,514,421,102,530,745,
595,001,794,629,496,258,723,264,454,320,781,620,004,446,773,154,615,500,886,
373,071,037,581,105,412,158,707,189,662,505,619,153,767,494,964,055,578,522,
167,444,640,726,272,931,353,557,816,639,073,961,883,908,356,182,116,103,426,
493,145,275,223,508,451,821,025,818,952,051,876,901,101,702,850,987,214,908,
471,952,829,346,214,617,274,399,902,124,404,116,596,846,602,060,794,462,616,
287,029,074,329,092,184,835,337,360,538,679,792,146,858,459,662,856,515,148,
193,868,236,959,655,019,271,281,460,002,199,773,408,488,777,830,883,133,101,
026,849,296,049,746,709,970,704,196,115,980,094,989,843,145,928,479,218,151,
758,802,385,981,629,076,934,283,303,777,115,589,360,156,897,349,220,146,073,
365,405,956,849,927,077,141,286,272,192,771,177,988,848,016,887,216,996,070,
853,735,255,174,496,529,700,308,165,433,419,763,255,965,618,285,713,521,883,
502,429,830,832,898,777,157,841,890,857,463,542,270,620,401,815,716,345,528,
412,936,613,108,498,813,414,689,644,735,988,064,860,816,563,775,397,312,313,
944,601,972,232,674,764,271,397,076,589,527,513,114,768,774,516,421,553,218,
267,415,936,527,112,739,176,070,814,628,260,390,691,216,851,347,321,695,741,
036,613,070,471,107,433,165,831,059,988,654,438,575,152,722,263,064,392,968,
124,189,147,426,634,086,242,703,357,510,441,261,973,188,512,806,480,023,022,
010,198,079,639,163,699,797,499,476,345,042,680,009,386,488,025,418,779,829,
465,026,783,465,660,583,118,163,620,967,142,459,730,592,551,048,378,539,362,
039,061,515,895,504,984,985,681,991,743,250,117,875,500,580,169,062,756,453,
423,013,793,689,085,283,550,804,555,332,118,267,989,060,068,993,760,652,183,
978,176,664,086,803,938,051,220,303,722,583,637,226,816,530,222,933,078,956,
774,976,168,977,917,573,002,491,912,525,292,780,383,330,784,736,803,879,104,
331,203,161,593,046,025,733,505,932,594,597,480,675,387,892,346,688,856,494,
919,572,802,998,154,170,703,123,723,144,923,870,689,499,734,984,127,672,642,
891,970,817,716,205,705,423,713,141,766,325,502,867,286,713,143,015,847,416,
738,837,831,443,559,469,990,804,401,864,001,219,842,411,374,772,710,870,477,
113,483,674,029,152,285,645,886,323,727,763,634,332,259,019,997,714,615,285,
473,975,021,671,488,880,194,053,536,255,398,495,031,702,850,944,697,352,803,
082,517,872,162,837,113,815,910,766,657,329,698,028,513,931,673,126,763,588,
507,604,790,814,827,779,739,700,085,445,480,252,923,489,173,880,652,883,864,
436,907,924,056,360,437,271,775,453,853,823,282,639,818,553,763,049,125,467,
334,293,247,726,385,124,251,818,917,999,460,385,335,756,064,963,180,473,229,
637,272,406,556,159,816,319,328,956,271,705,662,668,034,652,073,191,790,504,
728,392,236,016,156,796,514,467,712,562,065,960,329,627,830,021,008,578,700,
023,115,194,180,387,082,381,727,162,961,813,873,961,471,648,202,628,997,059,
302,626,225,478,718,392,315,432,885,876,726,895,163,757,301,122,264,811,480,
048,771,281,766,085,757,566,125,200,366,358,710,848,682,366,415,002,638,213,
957,299,585,546,418,447,990,153,545,482,275,433,602,511,879,867,138,552,702,
788,830,560,409,002,665,566,617,975,834,228,620,449,692,392,080,238,987,504,
151,747,285,892,708,944,599,061,003,632,491,528,442,432,883,926,655,369,734,
428,529,724,912,727,266,196,128,619,143,363,490,534,013,905,756,718,418,664,
819,538,003,737,565,427,879,824,337,878,786,549,915,060,877,504,044,845,010,
477,498,290,142,078,978,267,434,842,515,445,269,702,074,187,674,680,677,991,
342,904,817,871,395,523,206,748,860,810,243,623,122,415,690,454,516,327,020,
655,228,592,455,695,468,752,701,046,413,880,325,932,776,401,797,459,407,426,
829,563,751,883,569,598,602,518,373,154,531,231,025,128,015,931,506,395,102,
020,314,613,014,373,360,231,227,923,420,822,991,125,696,084,864,009,469,234,
170,626,297,469,870,472,841,228,128,472,788,035,864,988,882,140,047,581,041,
513,612,994,707,611,995,963,064,168,327,902,013,648,350,745,679,943,277,590,
222,931,229,184,261,172,134,712,731,133,815,730,869,776,518,027,157,206,168,
422,261,124,176,782,427,528,788,321,431,598,568,098,580,668,511,899,066,316,
931,097,298,686,301,002,188,810,699,827,047,984,348,816,556,875,277,464,747,
452,509,106,771,890,825,956,694,773,209,869,435,023,002,522,116,891,368,066,
267,528,447,258,487,980,900,607,748,356,244,683,187,678,066,995,535,438,031,
714,310,686,572,359,800,747,881,153,042,244,130,298,798,709,154,674,760,239,
214,552,817,035,103,886,380,693,091,979,179,269,961,375,944,689,773,807,828,
485,698,424,952,281,298,054,755,621,298,192,138,116,979,976,803,442,758,628,
516,181,273,787,431,809,428,556,873,651,936,800,663,256,603,500,750,913,898,
883,615,758,406,021,245,014,908,799,788,074,609,055,182,361,204,350,832,490,
702,598,101,080,625,678,166,668,288,692,545,875,577,621,040,515,679,693,269,
928,452,987,665,547,480,741,931,420,644,505,547,328,809,985,524,440,156,460,
416,048,060,063,677,550,416,549,412,227,436,790,914,987,992,254,511,003,420,
342,128,874,639,306,751,257,479,418,633,370,988,416,416,527,745,946,820,688,
687,940,629,798,108,973,003,471,922,758,353,881,663,637,946,891,387,228,362,
906,328,885,179,488,152,241,752,403,737,413,426,348,818,404,952,802,713,279,
830,663,204,025,336,435,252,133,738,867,753,964,477,627,056,384,467,618,067,
694,786,784,110,535,027,588,156,485,812,503,404,843,775,643,287,206,810,479,
479,148,046,101,240,648,197,474,079,425,947,482,722,087,741,435,365,348,961,
156,879,296,373,428,088,769,594,985,204,669,137,532,177,578,847,967,073,947,
861,567,888,020,689,652,853,288,440,607,499,501,513,818,667,020,572,657,177,
847,831,030,160,318,708,895,355,249,962,848,191,177,605,293,532,252,279,462,
282,003,958,440,707,791,988,697,637,537,330,588,701,915,355,494,891,536,436,
861,109,342,223,402,012,563,486,139,573,377,408,876,154,530,867,800,965,404,
541,053,419,262,886,865,504,055,138,223,111,247,901,901,006,570,183,928,472,
805,871,902,443,042,127,001,000,010,083,676,454,089,819,975,516,282,118,316,
930,264,045,916,489,643,885,595,618,100,805,853,979,044,160,341,720,516,150,
780,758,626,599,531,960,829,660,653,232,218,264,442,398,476,809,397,172,993,
223,474,767,676,817,525,678,406,748,801,741,020,291,610,690,683,927,843,875,
560,132,937,919,336,782,911,630,540,737,433,106,540,435,997,201,839,509,067,
216,738,285,356,088,136,640,758,202,833,838,963,315,998,815,224,948,864,389,
759,377,496,557,445,809,763,812,759,491,407,782,420,105,499,344,608,325,635,
214,461,468,627,334,399,064,148,755,745,290,479,546,192,290,390,722,104,928,
939,356,090,720,324,769,260,130,783,458,639,299,330,464,075,827,837,709,179,
742,305,307,799,373,876,184,370,655,056,215,457,316,448,055,885,480,643,437,
168,154,713,249,203,649,854,646,467,831,189,604,690,972,280,031,228,274,686,
141,432,360,758,699,252,044,254,127,906,988,444,446,662,518,391,990,347,428,
771,753,380,943,582,580,856,013,719,940,317,234,323,602,439,372,777,924,508,
337,853,278,903,299,562,130,888,869,690,661,578,785,910,587,050,721,497,550,
298,892,834,512,952,526,080,690,470,846,597,894,899,400,597,162,235,682,800,
800,317,551,568,744,928,472,499,768,791,543,901,589,715,800,404,754,635,008,
717,195,351,833,818,726,559,694,398,298,218,799,630,675,053,607,258,284,544,
867,791,989,676,670,044,822,648,072,295,073,784,080,894,358,248,949,462,645,
339,500,378,731,366,269,419,141,595,969,582,194,070,655,385,734,804,744,841,
063,946,359,600,130,585,360,903,087,512,849,308,054,731,428,872,001,608,153,
380,739,173,495,691,007,996,979,394,555,117,960,542,783,640,411,481,298,507,
532,831,853,881,570,439,996,742,890,021,694,815,289,654,481,372,074,591,114,
247,424,608,034,271,394,475,383,769,751,400,289,250,645,446,379,785,393,336,
999,828,238,060,498,407,080,930,357,372,067,838,757,736,493,870,201,357,336,
046,811,082,854,597,639,421,654,545,126,336,130,846,258,472,183,981,619,391,
868,994,541,670,909,850,194,365,414,787,216,480,275,703,144,762,556,444,684,
044,567,311,489,282,162,247,313,116,633,928,697,280,335,549,644,814,899,653,
462,282,994,070,039,259,225,252,001,485,989,553,473,159,518,239,010,765,867,
530,600,459,594,911,177,344,827,602,606,016,712,861,996,093,047,111,556,385,
503,858,861,670,126,649,136,308,007,712,070,675,941,890,787,090,545,492,084,
921,984,707,380,484,457,562,240,406,301,438,820,553,509,414,460,610,157,726,
472,446,843,194,393,063,873,428,161,911,249,397,741,909,911,526,733,140,624,
972,050,748,855,535,931,142,144,507,015,216,104,953,750,313,932,317,448,673,
663,444,031,950,573,752,028,625,551,463,215,599,068,190,937,480,645,196,505,
054,390,076,459,369,062,294,463,763,133,307,288,246,242,366,114,465,966,211,
265,330,588,285,981,619,790,034,669,772,205,394,372,072,838,511,805,785,775,
207,754,999,975,444,250,220,211,029,789,380,398,071,737,318,311,517,050,470,
086,400,984,044,746,708,302,653,799,432,141,578,114,309,709,471,217,873,861,
903,900,265,947,232,454,581,921,337,093,676,182,856,584,755,552,001,708,500,
274,493,827,900,518,047,868,200,855,970,301,475,324,477,338,122,329,738,059,
416,005,709,070,735,509,959,489,652,409,677,267,513,092,330,798,983,299,844,
255,131,748,266,720,169,792,947,059,151,389,110,595,372,917,638,992,365,210,
663,383,210,039,293,996,338,365,288,638,627,909,946,064,086,334,025,693,410,
830,157,720,276,555,761,906,455,293,896,952,024,953,848,228,945,696,753,528,
556,485,161,585,903,873,406,894,619,087,879,456,804,781,695,819,578,055,488,
674,056,368,871,295,036,181,960,833,153,709,716,885,498,529,322,416,335,112,
080,225,024,113,671,304,562,538,615,349,768,006,975,321,520,504,684,072,460,
640,991,930,265,000,398,009,941,005,888,803,259,674,176,583,728,973,035,929,
355,179,978,196,193,414,446,555,228,127,905,236,356,304,248,065,567,824,408,
971,128,571,655,855,684,165,130,666,496,342,058,754,238,313,136,634,590,113,
730,819,985,416,799,451,792,241,981,351,541,678,086,574,751,794,475,687,630,
038,130,955,307,900,481,114,275,373,477,772,352,364,077,006,072,560,572,173,
037,136,560,191,136,325,728,572,165,190,674,444,178,880,959,985,798,091,998,
460,156,867,187,465,009,788,675,372,688,045,471,483,534,393,526,329,424,433,
483,646,823,730,585,017,407,916,849,110,069,593,460,537,245,238,922,137,568,
866,298,420,298,704,435,252,880,781,784,164,490,572,531,651,765,037,717,276,
076,483,473,776,604,452,581,340,074,682,446,642,068,605,878,605,697,491,594,
406,674,404,970,421,179,867,489,138,938,881,546,422,360,041,226,427,258,118,
023,471,254,642,421,987,586,266,806,903,254,151,850,934,764,993,280,420,897,
074,543,311,383,616,182,025,200,065,443,303,949,459,824,231,019,139,848,701,
844,139,290,490,318,910,678,088,974,532,176,237,611,559,954,581,542,766,602,
383,126,663,047,703,903,969,235,482,856,683,752,952,294,877,828,400,239,449,
855,928,813,165,077,968,847,404,022,823,127,363,702,330,656,882,898,645,092,
765,056,719,360,231,769,180,435,487,021,426,736,583,914,855,467,390,610,336,
705,736,081,234,260,809,147,538,052,368,176,760,826,196,391,448,657,523,133,
868,732,925,113,866,264,791,658,092,283,449,912,932,150,892,765,044,356,866,
163,666,442,428,371,284,490,129,534,712,431,359,510,261,184,032,468,361,310,
720,252,547,169,364,730,825,802,310,197,389,816,500,978,851,972,605,497,355,
012,854,080,585,702,459,886,646,580,663,982,980,475,045,720,391,167,762,060,
928,593,253,467,538,753,524,513,883,542,736,159,925,375,193,396,404,031,234,
413,109,439,932,370,500,586,117,741,398,573,852,971,380,674,928,660,881,062,
962,438,168,626,621,544,075,671,710,565,365,521,671,151,948,236,482,462,634,
429,453,428,953,913,743,261,320,898,113,105,058,825,240,733,174,498,909,422,
245,286,763,361,230,297,425,189,354,941,221,224,210,355,284,481,971,414,333,
913,598,464,331,513,423,279,515,530,303,670,731,069,293,091,716,722,065,563,
271,352,585,393,105,609,100,992,154,536,793,354,660,674,474,224,259,712,256,
630,061,669,998,082,808,410,055,249,091,551,059,033,552,656,926,819,711,475,
955,739,812,530,249,555,628,140,688,564,714,027,853,979,836,773,691,405,626,
063,327,121,102,729,193,832,109,287,074,711,555,815,004,460,402,194,174,357,
219,881,299,083,603,468,970,437,118,323,804,312,755,246,616,541,316,399,528,
463,049,642,026,843,313,924,228,296,186,766,492,375,900,144,197,790,290,880,
278,242,551,944,357,054,031,372,495,001,594,085,354,275,200,809,583,200,799,
959,766,360,544,497,640,658,934,019,611,870,083,284,779,939,144,328,176,902,
705,873,941,894,158,525,025,458,331,020,478,805,157,665,310,303,028,621,054,
546,325,075,273,565,219,861,776,280,255,917,844,651,906,007,662,210,342,637,
828,781,413,812,988,373,070,905,339,626,889,435,088,891,333,871,307,267,075,
046,642,050,749,670,629,245,812,910,749,364,585,902,185,484,203,251,954,049,
954,221,433,321,591,880,285,760,222,818,045,918,482,695,267,024,647,163,269,
820,397,997,487,841,258,222,303,093,812,353,226,598,537,115,824,646,735,947,
386,390,784,941,646,420,411,712,981,661,169,916,315,805,152,995,549,546,457,
866,189,560,702,066,025,084,537,885,938,673,332,300,597,160,268,677,705,094,
880,287,781,949,502,655,190,689,003,958,286,203,148,515,313,183,318,079,544,
330,440,848,095,532,414,922,976,494,837,522,240,901,448,910,188,716,710,506,
879,122,082,006,444,350,087,970,885,400,049,558,945,939,566,679,237,737,031,
299,590,909,592,671,757,763,341,582,822,892,256,733,599,708,644,261,874,883,
133,642,411,237,136,277,004,260,486,400,947,961,163,446,026,282,848,107,017,
813,621,591,478,370,838,254,493,009,671,926,524,894,121,015,433,418,247,705,
396,889,155,949,729,294,719,306,732,709,947,612,488,494,649,412,907,821,305,
055,158,320,600,505,088,383,102,268,126,858,339,031,584,288,369,845,307,778,
870,814,805,220,395,585,732,388,056,815,421,442,494,584,710,366,211,314,328,
382,164,499,261,878,005,916,219,681,311,093,402,309,106,807,458,927,240,537,
217,437,031,587,050,363,438,771,845,359,991,667,652,016,776,610,263,122,549,
695,787,046,158,160,159,390,674,533,704,815,017,900,542,716,223,784,644,931,
176,173,259,394,673,018,986,759,048,113,604,809,045,249,978,713,964,860,120,
109,745,565,422,495,904,682,301,519,334,914,922,758,179,580,010,793,137,032,
759,953,464,443,742,219,362,166,770,265,380,220,364,068,490,216,675,922,799,
937,294,020,890,102,590,671,095,663,824,976,973,829,343,690,767,767,081,859,
047,569,129,602,533,338,770,337,202,415,370,040,469,975,256,631,267,676,047,
495,708,094,327,057,888,851,326,424,669,043,291,572,732,260,673,936,503,673,
998,833,955,712,715,721,270,174,950,542,543,294,179,385,506,847,905,690,703,
689,030,590,170,858,621,019,751,824,728,390,769,328,255,403,121,809,744,017,
083,045,143,328,200,225,993,475,736,250,370,874,862,503,716,902,535,243,151,
168,623,523,592,636,354,570,034,038,911,985,707,652,777,954,727,483,216,752,
442,994,812,816,893,544,164,090,717,412,777,035,103,311,783,142,537,864,929,
661,532,210,155,187,211,033,595,970,608,357,059,851,336,260,764,382,318,642,
551,722,499,561,746,429,910,549,143,175,140,596,457,037,505,303,397,942,950,
805,250,147,290,473,640,435,443,392,397,652,848,811,412,524,460,519,731,891,
116,776,408,701,542,485,819,644,051,700,001,318,517,479,972,171,131,788,277,
416,476,381,770,893,573,238,306,390,066,131,730,956,960,268,402,493,208,078,
289,434,320,712,594,586,778,693,497,153,266,830,448,119,548,277,244,738,110,
100,325,044,451,613,303,184,472,603,263,804,763,306,968,207,093,371,792,841,
807,592,093,506,234,335,838,586,635,944,634,257,334,423,638,744,947,710,388,
764,319,432,796,859,541,036,369,151,493,936,206,728,594,874,044,573,919,303,
180,950,686,558,550,505,218,456,496,576,478,067,682,594,263,038,501,620,695,
041,233,867,182,263,003,006,263,243,434,701,951,664,353,702,822,670,134,741,
515,988,244,868,981,781,580,449,286,176,957,299,860,972,901,976,882,539,323,
309,830,175,956,556,238,007,842,701,409,310,593,327,840,011,249,853,435,991,
801,985,146,435,381,684,766,362,857,753,543,468,617,766,563,108,555,054,576,
957,990,639,786,315,492,277,083,990,107,602,291,853,520,197,485,264,704,993,
293,468,448,953,143,812,481,498,122,865,859,299,974,768,389,227,387,204,293,
750,728,563,948,413,700,330,250,328,216,777,605,759,634,795,570,405,002,308,
179,912,604,736,173,470,332,988,302,939,017,327,858,557,584,955,415,372,446,
852,324,126,313,293,548,107,181,804,403,553,676,910,557,775,734,081,018,009,
929,297,765,819,297,248,375,568,218,071,215,045,407,051,778,267,010,210,415,
308,317,803,862,846,696,508,660,995,438,886,382,173,288,531,082,930,400,529,
008,566,184,596,300,982,758,507,995,796,810,380,617,630,149,152,621,159,226,
226,413,465,144,130,218,823,948,044,235,208,394,350,947,725,348,522,623,270,
327,580,933,520,728,566,619,727,401,930,864,787,614,630,439,455,580,043,696,
595,174,469,569,221,387,666,162,428,672,417,341,535,393,916,971,595,508,174,
124,798,648,314,383,025,247,755,229,439,114,322,080,234,590,782,799,456,249,
332,688,793,945,319,966,378,871,595,030,332,267,960,776,469,350,794,617,164,
100,415,166,305,243,903,113,331,045,470,825,166,219,495,122,761,723,290,876,
626,934,444,956,424,930,623,752,078,648,965,198,124,374,035,885,129,917,906,
170,453,686,788,845,859,064,464,057,010,773,986,588,658,522,776,404,911,155,
877,189,600,503,981,218,651,769,557,626,708,043,428,649,228,419,482,976,436,
903,915,079,560,033,973,180,716,649,160,016,957,932,163,303,769,358,997,616,
766,069,552,260,927,412,818,178,884,083,821,280,211,969,673,852,942,250,992,
246,953,533,898,353,513,449,886,251,283,725,213,901,280,445,039,864,984,578,
027,331,175,032,649,047,308,649,870,467,257,034,521,955,916,570,500,380,766,
424,773,917,852,188,922,746,492,099,374,915,582,599,736,032,662,811,409,623,
964,287,120,418,072,672,940,294,989,138,505,319,909,198,132,409,228,924,506,
317,589,032,532,420,810,396,851,534,116,816,891,878,486,572,577,007,139,873,
523,143,191,993,406,250,866,397,845,634,075,381,373,926,946,819,858,462,633,
735,577,284,915,116,193,226,648,938,521,997,268,105,631,414,185,148,721,473,
094,121,527,303,353,644,242,803,969,961,979,709,208,273,736,879,750,121,932,
043,178,830,610,094,070,036,269,047,836,950,704,085,583,763,163,241,675,933,
851,416,268,252,767,049,953,086,658,631,567,195,719,707,526,623,352,146,477,
027,312,191,484,543,303,505,433,835,787,724,536,204,274,763,098,689,692,044,
876,732,510,508,206,547,200,908,280,928,089,683,561,169,974,383,261,216,712,
823,590,450,218,949,161,397,000,566,150,968,909,811,848,143,825,786,227,941,
586,240,013,013,461,204,642,319,937,374,176,682,341,553,367,600,865,156,659,
100,150,381,474,959,236,141,753,426,476,657,477,495,367,945,507,827,496,394,
831,449,392,222,793,951,209,234,163,459,462,416,568,404,283,878,142,585,367,
774,660,458,785,698,027,322,867,687,648,248,359,350,016,724,011,563,016,273,
777,373,675,511,440,352,362,340,564,716,472,844,586,362,929,245,626,105,452,
280,874,757,553,084,360,861,179,497,435,469,539,663,625,007,199,194,428,954,
073,552,216,058,359,855,722,049,343,395,547,636,995,567,483,162,270,642,510,
421,024,502,314,732,372,412,296,371,169,881,590,159,475,536,051,227,431,214,
222,148,320,703,948,857,784,541,778,617,228,741,604,026,432,958,338,265,876,
418,575,681,600,467,927,836,808,352,080,968,633,278,219,561,235,976,067,094,
011,166,095,010,826,592,604,738,084,048,043,548,502,247,137,689,742,209,815,
886,262,604,160,528,698,330,804,310,962,876,119,431,555,219,063,750,746,447,
337,202,784,810,595,108,349,466,616,796,113,647,438,344,724,086,461,003,413,
262,427,136,670,679,123,281,917,404,084,674,828,773,035,977,490,656,327,990,
885,928,992,389,631,246,498,593,037,429,428,157,571,500,367,069,057,718,777,
960,888,918,380,172,630,843,152,747,115,670,794,442,563,200,544,319,322,235,
654,864,237,467,566,114,994,865,785,839,677,176,533,171,096,282,453,314,816,
680,059,672,902,512,743,126,903,126,830,986,653,194,084,994,901,409,513,950,
909,079,380,373,618,002,646,023,523,770,632,537,924,549,345,175,158,626,738,
619,439,258,272,022,909,481,659,589,661,117,192,015,993,347,190,647,037,392,
958,677,350,699,235,148,236,493,080,561,292,450,909,810,855,669,317,233,021,
249,169,712,465,434,949,399,844,684,470,474,775,012,544,473,039,835,402,384,
642,599,067,540,762,811,555,222,209,874,980,254,066,295,776,916,820,515,269,
541,147,999,072,521,842,321,495,074,666,204,343,235,098,931,406,662,452,671,
924,052,241,235,575,659,300,528,411,220,249,254,885,025,897,590,596,416,642,
035,000,208,545,274,826,059,106,129,625,904,543,387,083,893,474,699,007,723,
458,764,107,778,209,431,941,944,570,568,216,689,242,362,178,238,556,082,213,
731,493,280,247,189,567,314,935,346,285,873,576,836,473,708,862,193,203,062,
049,896,371,258,736,649,810,569,699,091,103,639,481,136,218,377,056,251,091,
747,881,488,876,044,283,112,366,390,272,163,891,996,213,525,532,448,532,249,
343,063,535,034,179,308,294,232,240,733,534,903,312,728,662,032,577,445,302,
479,346,353,110,720,891,201,668,962,717,043,900,675,134,892,445,499,872,423,
177,618,256,706,390,330,875,543,012,906,003,070,539,058,916,580,678,394,796,
152,775,707,513,457,545,243,248,747,547,415,187,096,495,346,067,062,730,562,
627,488,773,617,158,570,933,874,436,802,286,429,452,216,166,205,652,535,844,
071,677,893,047,144,074,834,689,561,817,516,270,164,825,174,277,210,101,884,
786,396,368,157,805,514,548,932,433,789,065,752,053,395,811,992,272,748,363,
990,525,235,708,884,873,215,362,303,635,911,363,820,249,566,087,068,819,151,
097,851,349,208,231,423,354,468,359,761,667,960,942,410,402,754,620,981,037,
871,678,800,523,841,952,106,058,256,674,517,781,238,820,503,993,041,743,228,
631,194,130,941,943,735,837,278,241,738,920,482,574,523,327,531,835,115,629,
277,601,498,949,879,736,005,146,341,249,703,168,261,442,382,903,903,861,474,
000,903,725,108,017,315,512,492,116,549,128,523,182,366,391,964,419,203,522,
231,864,004,747,397,749,856,288,945,230,282,060,957,521,282,412,433,559,426,
594,830,918,219,234,791,232,919,174,909,561,074,369,009,417,696,371,026,877,
752,274,566,637,978,621,058,199,248,486,138,976,121,506,032,973,611,521,447,
237,719,745,554,251,823,021,235,133,359,008,215,752,317,308,812,570,572,907,
792,918,064,280,230,318,007,112,990,737,902,409,288,405,840,403,082,728,413,
428,000,564,538,144,103,727,993,851,973,852,059,118,587,145,162,773,606,820,
733,694,995,153,996,010,029,161,130,525,173,743,992,012,024,662,774,788,156,
448,125,692,850,789,040,757,858,496,679,000,792,432,829,576,036,265,992,314,
101,156,055,512,383,503,802,012,597,775,758,232,447,164,747,089,614,348,380,
313,499,460,421,279,687,262,021,444,898,724,365,679,022,850,909,198,674,206,
764,728,532,048,232,019,603,347,864,008,573,185,790,980,077,025,074,755,258,
661,649,226,416,641,791,288,742,602,282,434,614,100,066,701,143,303,095,149,
790,843,200,569,954,797,841,064,402,561,407,968,140,315,753,976,044,739,066,
958,066,938,218,259,095,569,405,621,689,270,870,768,408,221,585,289,028,393,
922,254,934,945,638,873,647,708,015,694,606,107,793,561,469,365,344,426,651,
347,596,619,072,890,864,103,443,288,544,771,085,674,937,482,938,247,098,141,
108,616,958,977,110,454,205,546,154,009,660,496,993,804,591,052,120,009,064,
780,821,041,242,222,308,317,043,539,277,226,847,935,302,343,368,790,870,452,
158,567,771,724,694,313,471,105,084,625,615,833,236,398,349,346,423,601,736,
902,960,681,074,471,960,338,495,683,434,510,437,252,644,004,009,845,721,442,
001,618,655,433,157,072,427,570,847,452,917,629,959,870,384,854,655,307,966,
310,412,927,310,179,785,628,697,721,545,271,507,066,881,839,476,250,661,418,
130,265,249,537,867,956,958,199,673,319,985,860,246,416,961,868,519,386,333,
487,135,546,017,703,248,033,779,314,185,949,239,783,826,790,943,436,291,547,
610,120,177,154,428,221,282,872,782,405,975,131,376,406,047,818,437,317,417,
987,832,899,816,665,005,066,326,952,193,324,486,241,115,042,121,813,553,168,
391,341,361,264,057,118,568,440,765,544,296,693,365,113,115,884,012,512,333,
562,050,290,070,012,923,927,780,921,206,032,415,893,577,003,529,888,463,001,
791,275,359,755,772,024,556,463,228,234,705,239,037,430,028,774,383,774,418,
021,955,324,770,494,329,436,353,564,860,794,333,199,685,319,095,673,644,108,
199,590,951,875,655,035,813,858,582,237,237,674,348,855,014,153,732,202,638,
989,197,644,121,744,709,746,049,891,683,701,315,790,375,351,483,188,748,326,
084,057,374,117,150,337,820,947,257,592,115,838,560,541,718,051,286,650,072,
881,122,885,352,529,746,214,742,310,383,800,492,212,481,766,553,846,199,577,
166,819,020,829,224,520,958,617,988,222,747,475,491,289,837,858,266,471,282,
578,686,239,798,694,240,327,559,263,024,421,160,043,458,372,512,859,703,332,
883,201,898,471,604,411,545,174,917,265,013,795,497,125,896,057,155,263,122,
916,388,138,151,459,566,440,856,855,152,413,476,233,466,982,200,946,666,212,
267,106,954,323,506,989,275,283,350,033,757,956,664,164,325,566,730,389,387,
952,102,626,043,916,947,117,264,323,829,853,146,580,168,799,178,967,386,737,
775,921,608,350,288,779,364,907,338,479,625,143,395,492,107,154,905,962,767,
144,652,644,378,888,928,132,119,861,280,557,156,959,269,392,615,102,961,819,
372,860,942,508,226,263,575,771,180,308,864,266,211,069,758,470,243,578,830,
197,900,229,875,624,482,133,310,366,637,011,203,441,871,528,923,320,084,878,
012,002,207,021,105,386,177,508,892,203,740,020,397,597,541,183,668,198,872,
956,356,415,352,003,626,446,602,869,816,914,842,743,761,817,722,526,921,986,
037,117,252,013,615,456,277,130,152,342,198,101,903,565,440,635,570,146,958,
116,818,987,554,125,067,845,606,545,340,398,384,433,509,243,259,204,113,332,
233,798,869,944,985,671,375,461,085,297,023,132,520,001,691,732,679,619,865,
513,585,706,805,394,078,641,607,668,722,723,100,719,445,510,986,078,570,235,
273,716,484,972,720,122,180,809,479,697,177,187,711,007,704,318,146,015,317,
641,049,051,656,468,991,475,004,306,957,454,805,418,288,441,133,034,650,893,
018,473,918,922,164,801,581,489,936,966,332,966,886,203,482,871,876,562,596,
970,437,605,317,287,232,055,057,088,756,033,392,093,761,072,573,994,321,851,
169,056,422,570,736,502,755,853,478,710,033,787,094,554,937,438,391,571,542,
296,713,302,211,365,183,080,766,972,469,831,226,555,093,034,713,526,340,635,
465,324,394,042,944,249,115,480,066,819,169,939,707,003,440,338,837,715,581,
483,295,610,589,281,826,850,424,943,377,958,577,678,463,371,831,785,441,743,
720,585,116,656,592,936,050,821,625,414,231,978,467,863,008,155,825,267,753,
469,160,258,536,653,557,797,690,303,838,935,390,556,715,649,168,012,633,468,
169,522,817,054,546,022,424,191,607,646,207,731,522,941,174,823,030,580,772,
459,889,264,230,842,566,405,064,336,207,003,296,603,606,304,528,276,949,449,
183,139,850,273,074,039,320,081,360,753,029,192,781,388,308,830,045,944,675,
046,820,499,043,899,835,706,142,331,585,033,233,886,260,166,406,316,670,815,
769,446,914,293,652,031,570,565,668,128,655,275,456,344,226,467,448,324,536,
977,628,153,189,807,390,201,261,933,192,946,538,745,542,358,767,026,372,980,
163,271,119,835,806,151,274,170,849,894,493,217,464,358,203,412,228,031,799,
839,805,740,782,251,990,415,743,390,794,616,239,991,060,035,544,107,093,870,
079,895,170,632,638,684,307,535,497,225,690,300,977,634,314,773,948,227,807,
463,264,589,426,989,210,528,356,761,532,497,463,809,020,239,673,871,310,304,
188,400,219,439,119,238,115,418,137,873,068,358,204,327,796,904,811,602,651,
423,218,522,288,379,556,884,832,974,288,427,284,303,728,522,249,174,699,220,
800,436,372,960,744,339,110,491,614,874,757,111,690,581,423,098,166,440,729,
176,225,519,839,643,272,399,469,348,422,620,281,512,555,871,827,728,734,650,
562,931,025,206,193,119,141,744,977,430,366,067,973,032,623,130,003,441,873,
636,043,004,720,205,177,575,879,384,726,845,658,000,516,964,153,621,715,617,
147,730,015,953,250,365,641,426,332,764,621,128,692,810,802,339,235,627,800,
626,747,861,115,774,131,837,440,805,364,388,558,061,667,630,949,878,083,450,
861,254,848,858,468,898,324,469,925,886,546,467,084,978,878,296,506,873,832,
004,536,363,092,103,772,054,010,654,196,317,427,019,427,565,576,756,275,103,
994,470,599,835,805,887,118,421,854,022,378,266,485,566,604,684,295,574,931,
644,994,548,726,115,696,124,733,372,281,686,812,357,988,146,084,784,633,544,
501,921,661,014,113,790,754,875,219,854,664,024,195,418,815,005,205,369,394,
590,219,768,883,619,325,024,168,150,189,314,057,460,884,641,645,690,701,475,
161,412,533,873,446,613,863,468,017,286,714,841,795,906,766,154,690,718,018,
231,060,962,386,594,908,429,248,851,931,925,975,007,399,776,524,669,375,793,
913,709,564,314,886,725,265,740,692,735,339,605,182,920,922,697,094,169,654,
787,727,664,562,662,105,581,608,819,998,529,882,917,158,324,793,529,638,165,
520,318,786,390,141,263,353,332,844,202,200,876,705,851,398,557,963,699,509,
587,037,585,055,528,945,965,253,073,652,275,431,831,551,823,739,512,704,978,
379,339,309,739,018,744,087,138,647,660,173,573,199,659,308,599,060,574,341,
529,833,394,959,754,407,506,738,285,103,817,792,481,265,238,775,894,259,628,
033,118,305,224,926,746,543,896,343,876,049,922,005,938,787,647,000,078,033,
643,459,473,025,426,957,686,523,279,709,187,497,295,805,357,932,570,096,118,
342,057,797,121,780,599,378,408,380,809,884,824,253,850,318,943,811,521,591,
830,259,552,109,895,337,721,892,505,144,497,624,498,491,800,249,962,164,700,
421,886,633,560,366,281,504,872,069,923,842,824,036,767,727,323,215,668,449,
434,316,902,381,349,281,149,601,359,997,622,478,966,697,130,314,468,425,856,
451,861,436,343,833,595,937,854,181,615,197,513,602,455,071,835,454,486,454,
128,898,545,027,822,876,027,367,907,024,100,132,568,454,760,000,755,465,964,
090,606,004,119,084,781,420,319,452,131,473,362,669,482,699,444,232,618,682,
343,242,706,963,238,241,700,929,180,783,262,493,984,445,616,090,661,271,172,
604,354,808,542,449,654,985,648,530,444,368,478,413,459,175,865,883,488,444,
497,453,875,103,865,632,488,970,070,204,011,348,590,683,941,305,315,778,283,
401,981,983,371,767,013,091,741,590,080,997,919,266,228,824,522,668,978,602,
242,989,965,223,927,690,202,320,170,008,389,416,285,255,143,118,217,407,750,
430,912,746,244,996,341,161,659,220,306,246,522,678,053,640,756,564,708,028,
906,241,428,807,430,218,437,223,008,806,371,131,397,559,963,518,428,429,776,
514,398,077,479,044,079,223,624,915,417,915,987,776,249,486,947,325,106,505,
089,915,913,530,020,189,304,536,209,555,100,287,926,798,967,528,146,611,788,
424,906,303,046,798,547,488,387,372,590,544,440,770,210,534,481,227,508,088,
306,769,500,286,454,594,076,208,009,131,054,804,967,501,831,028,666,825,546,
616,069,087,110,398,581,855,216,920,243,986,448,623,720,385,840,291,105,509,
203,373,719,314,313,038,353,419,045,518,280,063,437,229,891,799,238,364,961,
263,260,097,178,941,908,719,178,669,892,746,860,551,117,890,981,448,169,870,
223,918,167,663,918,368,578,481,379,554,647,246,530,589,131,469,964,633,207,
876,377,863,171,246,456,025,503,686,262,571,623,908,672,252,554,592,587,431,
312,015,003,267,701,940,988,744,943,324,814,245,025,136,685,697,761,683,908,
837,625,256,483,667,295,786,228,146,836,296,287,755,421,206,290,994,012,155,
700,432,580,921,368,114,835,240,421,019,029,470,608,938,478,802,507,280,823,
582,547,702,952,077,646,066,679,367,849,641,173,677,118,856,363,046,817,012,
224,609,275,568,946,301,976,801,686,026,573,654,496,819,659,879,271,548,197,
779,741,173,211,575,430,314,142,386,144,343,282,832,381,707,542,547,206,192,
325,707,731,369,784,232,439,143,882,460,545,527,473,548,283,396,154,420,340,
148,947,881,176,604,912,580,237,457,661,346,811,497,157,278,178,335,426,037,
323,887,255,310,526,812,138,743,111,224,988,138,876,905,217,374,171,165,429,
620,686,367,501,223,588,880,442,013,082,811,833,144,629,518,718,151,817,592,
359,792,457,690,273,875,466,717,714,932,386,297,519,996,803,919,883,020,289,
545,704,077,556,777,569,190,898,909,998,369,626,092,931,977,939,564,560,726,
423,577,670,781,137,441,387,692,731,301,356,174,328,457,375,722,520,502,832,
865,089,525,535,898,425,226,885,902,776,578,377,346,517,381,033,686,406,242,
433,119,298,399,890,416,335,653,323,827,186,327,006,793,875,823,222,929,759,
785,732,532,561,037,269,174,008,988,102,200,877,900,865,893,238,161,641,946,
740,957,282,579,298,014,501,707,159,567,786,038,649,575,279,184,933,384,724,
352,712,370,671,027,870,134,340,736,838,066,798,906,507,944,569,523,609,619,
904,341,257,672,482,515,836,319,482,052,906,898,405,394,459,770,320,010,269,
203,493,694,720,868,943,635,569,132,988,972,851,325,862,256,840,313,627,043,
316,989,617,693,812,988,931,977,966,327,220,141,298,504,670,014,805,834,393,
817,899,512,509,185,994,004,293,368,236,672,497,000,440,270,461,913,654,714,
893,047,433,621,946,831,475,107,637,790,669,197,257,449,263,974,049,670,928,
700,843,520,748,141,952,033,420,646,237,861,861,496,387,726,049,245,036,946,
191,187,465,821,350,792,675,184,480,918,078,573,153,454,119,612,628,514,439,
987,520,766,039,344,814,024,340,298,261,613,172,136,056,735,516,925,026,733,
917,948,997,892,722,746,043,830,608,576,532,916,908,741,816,806,874,568,669,
781,686,772,489,098,551,315,074,795,244,669,624,265,025,393,404,357,647,301,
268,918,873,977,061,810,904,292,684,606,273,542,902,571,884,443,703,984,044,
647,560,271,206,634,988,361,606,588,338,202,129,342,527,775,880,450,471,167,
987,458,347,362,152,267,248,564,252,408,013,801,509,937,153,866,364,365,132,
615,190,912,339,413,850,750,519,622,499,582,759,581,798,961,653,475,222,860,
958,832,054,366,598,815,296,622,073,065,017,957,155,471,040,639,926,250,123,
438,754,750,399,106,561,235,918,325,956,579,767,301,848,323,429,978,842,650,
549,519,023,444,599,327,702,195,727,576,395,603,518,866,357,214,957,046,929,
172,742,449,486,431,352,120,892,548,561,300,947,902,594,406,364,933,753,089,
523,720,436,177,282,805,552,806,325,107,023,616,243,049,182,800,771,929,860,
838,298,948,039,312,650,870,476,121,847,155,326,675,264,200,291,315,249,546,
623,546,121,716,053,632,615,790,815,786,448,105,883,476,093,468,963,895,900,
607,943,018,516,235,101,581,854,425,912,111,532,914,186,999,316,437,922,840,
965,724,594,049,099,875,626,687,984,867,655,680,811,561,307,739,439,907,338,
575,205,757,413,760,056,490,446,213,212,284,014,238,519,348,285,757,547,845,
516,818,203,449,456,973,487,689,758,484,209,708,799,431,774,262,579,950,603,
159,582,727,783,890,348,233,562,789,317,448,899,498,833,531,495,528,511,754,
340,828,369,140,832,406,252,009,664,303,870,745,899,123,408,636,414,336,544,
769,824,945,725,838,254,825,956,255,013,554,449,694,808,684,462,409,218,631,
521,154,173,347,213,115,619,828,157,717,013,166,182,440,841,620,121,168,967,
637,728,640,127,969,784,533,131,217,573,063,273,078,878,389,910,462,153,624,
297,359,093,792,207,408,396,482,728,901,990,499,200,443,026,541,768,584,980,
189,303,407,829,612,233,053,865,788,687,493,486,372,684,695,156,418,781,272,
519,901,545,124,910,980,894,060,455,473,003,537,438,907,566,554,439,139,145,
853,559,572,765,286,773,237,595,292,274,299,015,262,510,914,380,026,363,388,
200,389,636,048,900,179,067,799,505,562,393,821,382,120,055,466,801,517,653,
333,709,701,426,630,899,261,241,017,005,811,245,739,330,747,393,073,760,732,
011,935,377,175,256,695,040,423,516,791,383,928,814,048,944,786,062,753,688,
141,420,503,234,485,463,653,797,510,283,761,707,051,749,681,647,510,906,099,
712,589,779,020,951,529,020,054,163,448,087,141,303,456,585,128,001,394,022,
813,767,377,408,953,834,653,328,034,726,018,686,307,066,241,749,381,432,467,
559,099,776,273,586,180,212,817,162,611,217,418,545,355,952,418,804,691,985,
524,070,259,267,972,473,834,856,844,294,058,890,932,555,572,277,845,926,813,
540,035,709,153,620,275,747,326,956,888,293,251,255,399,141,956,760,659,509,
995,348,447,451,380,026,934,396,074,820,389,348,124,355,088,839,656,038,358,
604,340,790,258,841,898,323,642,009,280,468,597,283,663,980,211,083,735,697,
738,532,977,700,005,898,597,309,527,123,567,263,966,950,856,719,987,911,063,
275,462,427,447,674,906,810,547,251,758,291,048,640,743,140,704,136,600,406,
130,551,053,208,775,533,757,719,563,354,460,250,013,547,469,077,021,382,392,
426,179,430,640,794,412,715,387,562,850,738,741,928,205,635,620,277,283,001,
984,499,477,291,544,425,218,131,970,594,008,951,141,259,032,811,873,450,385,
515,620,761,832,819,279,013,495,334,280,802,378,288,127,138,912,947,141,767,
084,490,919,943,745,755,254,143,990,809,750,838,194,604,100,343,105,175,423,
426,586,113,214,671,333,437,879,372,470,928,300,830,983,029,272,506,034,010,
608,490,571,644,330,454,509,943,350,329,662,602,098,811,421,039,841,803,456,
699,479,354,916,313,554,185,528,170,512,825,210,605,129,994,356,513,508,161,
962,570,244,643,379,509,043,252,483,055,905,647,370,921,131,946,595,298,087,
417,375,406,315,764,236,206,068,257,513,804,436,793,466,249,552,297,206,631,
520,906,427,106,834,486,160,829,437,931,812,937,801,874,017,704,087,134,259,
583,628,484,144,719,627,998,808,844,582,401,706,287,036,928,123,787,771,233,
063,930,013,603,666,516,718,035,261,091,961,309,597,152,025,975,682,619,177,
135,969,776,300,321,031,216,834,331,268,747,438,950,560,424,907,956,532,130,
119,593,595,695,709,593,155,086,354,012,354,283,028,325,598,667,740,509,742,
789,238,950,505,566,362,606,749,591,107,341,041,915,114,119,600,984,450,419,
295,988,365,577,984,290,498,755,531,838,886,233,901,377,042,802,115,458,189,
860,657,417,113,963,338,506,684,875,568,332,851,924,549,847,243,900,724,606,
105,940,493,429,050,982,991,531,772,694,008,215,671,522,574,142,916,052,691,
731,976,248,549,334,333,641,533,451,437,949,646,606,287,422,634,363,032,216,
449,720,291,175,835,024,972,804,874,372,894,595,700,123,520,419,455,230,079,
142,871,116,963,059,090,868,287,009,980,047,867,226,362,887,820,490,891,527,
840,957,686,023,187,387,932,766,890,137,221,251,837,409,686,515,121,669,880,
151,540,013,491,746,011,436,619,914,556,245,327,465,437,644,785,503,535,077,
807,134,213,671,011,682,856,661,884,485,492,347,871,977,423,175,822,312,940,
815,259,435,780,363,310,087,708,682,177,528,186,019,436,392,481,801,623,408,
279,644,699,590,044,700,950,695,500,103,517,673,464,684,956,080,218,387,900,
404,131,044,689,287,360,903,489,882,021,815,023,627,682,392,173,349,412,590,
181,233,954,339,324,692,742,266,713,329,813,339,219,085,615,727,344,412,175,
077,305,392,010,392,028,582,064,844,109,058,557,575,816,278,350,464,277,463,
080,825,977,578,945,036,679,378,702,505,723,995,660,677,452,951,682,196,983,
820,474,805,504,169,244,022,391,916,793,068,549,068,569,673,833,969,154,090,
748,843,802,753,100,979,363,724,202,495,859,757,980,287,634,761,497,124,380,
969,754,662,274,285,011,866,745,597,858,500,058,291,757,985,637,971,948,788,
811,910,668,165,409,759,348,868,879,384,816,902,680,911,847,330,489,353,138,
777,180,717,901,928,509,160,888,619,360,942,073,781,958,973,435,474,075,650,
957,593,967,604,865,725,339,751,287,999,564,994,083,866,427,544,419,704,402,
626,749,672,303,818,488,744,425,935,283,525,273,504,886,731,597,615,286,703,
909,319,563,891,718,258,581,376,769,195,648,932,471,918,523,277,664,336,973,
410,359,119,531,594,703,538,424,781,168,154,171,741,919,040,223,139,059,640,
315,508,058,284,405,493,647,543,719,711,675,537,495,610,561,895,481,714,054,
558,738,455,952,304,226,427,126,901,830,649,883,190,168,424,532,346,768,969,
373,595,532,615,397,061,876,059,498,854,871,936,141,602,897,246,936,438,271,
805,419,088,920,282,630,151,373,861,337,176,386,849,193,345,689,648,839,927,
612,822,744,623,416,116,953,504,670,902,930,648,323,858,002,371,051,680,785,
182,969,969,053,419,277,143,545,111,714,976,412,184,052,322,966,062,384,375,
680,687,336,461,174,208,776,188,926,426,175,870,070,929,150,612,232,962,419,
577,805,423,169,285,701,693,147,644,076,661,166,603,734,626,869,252,888,065,
752,230,097,237,347,945,073,661,747,158,130,572,966,694,899,289,145,006,701,
161,504,215,734,880,450,370,304,080,654,212,742,068,295,751,628,164,730,433,
949,051,521,944,168,083,445,939,593,916,692,207,177,073,570,063,744,466,509,
578,219,090,932,409,407,733,984,626,564,258,689,077,522,819,124,799,097,597,
120,410,647,358,578,758,389,150,899,603,978,640,364,710,256,890,624,025,329,
121,060,381,916,768,302,049,938,646,036,568,841,325,704,028,608,434,667,510,
341,959,451,231,075,072,614,459,163,150,578,001,298,171,284,956,293,893,578,
659,973,928,857,246,580,160,323,683,238,769,643,993,480,437,969,842,740,186,
559,598,279,567,188,065,909,685,053,211,272,245,289,382,830,437,303,843,644,
274,181,598,758,973,706,042,752,050,071,156,977,528,954,305,769,936,160,532,
618,503,929,189,578,107,334,674,410,019,248,689,058,688,895,758,616,645,857,
711,206,022,414,657,834,528,992,345,230,083,576,521,193,516,725,644,419,303,
556,769,732,807,457,749,725,837,659,998,161,639,796,181,550,129,069,926,003,
820,942,943,754,284,909,780,449,720,253,318,413,973,523,363,590,226,887,662,
818,191,085,172,128,229,633,581,119,137,845,539,428,235,278,533,813,311,905,
696,834,511,566,197,662,586,056,483,881,032,068,182,552,471,837,725,084,753,
404,562,233,450,296,826,974,457,382,876,498,385,776,571,101,877,877,942,614,
525,129,866,998,797,811,359,974,594,267,636,198,768,410,112,186,189,862,596,
923,576,911,618,695,388,747,096,021,474,382,422,378,168,974,635,360,713,565,
765,335,058,768,041,277,168,217,587,666,992,654,398,702,676,826,644,679,653,
742,857,656,894,194,074,962,916,638,809,631,510,609,995,313,849,784,638,325,
973,296,705,048,934,918,008,820,678,617,717,979,228,225,953,079,181,990,240,
342,282,310,384,909,724,353,002,998,132,560,840,793,707,011,771,243,086,882,
904,322,597,434,518,400,404,974,181,054,929,226,237,329,457,600,049,447,238,
175,017,241,744,638,380,158,032,315,241,742,076,415,679,666,304,225,759,824,
570,278,533,405,707,579,352,244,323,391,221,900,668,325,461,052,135,003,550,
177,816,809,967,978,992,901,397,275,026,208,488,061,931,990,338,278,636,527,
151,399,672,995,595,635,621,726,166,291,459,176,389,794,859,397,747,354,760,
970,175,931,071,216,958,494,329,570,260,794,651,417,555,233,797,478,301,715,
738,019,454,964,852,615,571,943,952,899,782,177,605,250,999,330,584,405,448,
843,751,857,722,400,105,950,521,810,463,346,404,289,992,766,066,241,557,025,
332,206,304,307,971,176,743,663,646,254,618,173,218,487,206,965,862,937,083,
191,385,969,761,423,552,270,703,937,760,505,698,791,886,475,715,979,979,477,
642,054,695,746,274,891,131,767,339,661,257,759,032,099,505,378,721,578,538,
687,345,588,800,294,357,495,524,091,269,490,233,569,774,734,028,339,541,176,
278,989,137,591,012,258,255,951,293,355,629,097,238,835,938,052,569,010,270,
008,534,362,561,795,179,317,100,583,851,801,898,358,416,479,410,278,648,292,
825,950,323,360,169,900,322,414,199,352,391,848,705,788,731,195,850,437,151,
410,869,964,918,700,827,541,170,011,050,958,249,463,275,006,996,242,768,909,
219,847,002,294,970,515,473,272,328,049,776,721,493,584,426,930,858,211,208,
640,558,707,235,570,017,951,439,663,605,565,636,494,032,404,595,318,358,910,
897,393,415,902,058,149,124,186,997,200,612,316,664,300,077,955,064,881,432,
168,440,535,309,569,878,367,335,884,362,898,136,101,806,079,680,003,527,555,
914,494,341,706,162,160,785,133,561,498,754,696,139,297,704,530,147,764,686,
936,971,810,483,558,934,701,419,581,930,656,706,726,103,823,301,056,383,518,
368,724,629,679,657,179,752,378,228,752,038,120,728,573,368,790,259,263,190,
406,688,080,668,313,297,400,947,351,570,330,013,543,453,052,836,476,134,892,
884,814,390,474,195,310,020,567,492,202,200,179,258,064,601,093,438,724,494,
532,218,089,826,638,852,653,484,114,451,432,550,897,089,613,352,634,049,937,
581,047,858,672,551,122,131,644,802,602,301,230,266,286,930,348,605,997,288,
433,474,548,079,073,434,201,831,304,127,913,733,678,940,452,874,520,301,482,
583,257,541,569,342,285,493,260,325,014,753,633,606,472,830,205,007,019,677,
328,244,356,449,395,017,248,596,911,283,850,837,320,725,250,077,114,845,809,
686,293,648,645,541,145,640,719,373,180,892,869,083,027,998,419,287,604,333,
798,988,426,924,303,105,703,766,882,294,435,003,896,425,535,109,823,889,255,
218,202,554,501,807,029,010,515,733,545,193,066,752,609,034,538,678,949,351,
042,663,958,444,608,965,149,116,437,467,151,322,171,919,299,151,156,419,914,
800,402,559,380,715,025,532,114,130,832,643,575,205,875,520,027,351,927,851,
104,956,180,806,562,128,199,168,820,881,257,884,027,881,499,685,493,797,074,
130,560,918,766,175,373,105,001,115,733,856,350,597,387,532,928,347,793,954,
089,958,027,176,627,811,857,347,366,528,992,333,182,120,472,850,056,618,111,
679,578,162,585,128,377,618,379,028,156,682,468,786,563,451,340,522,511,437,
088,100,533,102,593,377,384,925,020,840,491,670,303,309,812,043,791,645,750,
966,602,582,134,372,512,835,434,072,107,673,485,724,473,132,909,115,823,214,
349,580,663,354,861,260,430,726,674,437,949,241,501,915,733,170,493,104,957,
976,148,656,319,830,876,022,203,963,743,936,790,215,199,582,440,555,054,485,
472,957,235,811,142,391,625,695,776,059,526,127,594,721,159,235,426,813,425,
011,955,698,194,464,940,341,639,548,973,814,614,417,797,085,523,158,586,715,
116,872,780,072,756,159,509,149,547,021,520,544,928,456,002,442,617,833,886,
804,079,450,154,176,957,452,331,513,614,388,651,564,850,736,340,017,972,608,
285,428,211,051,194,642,957,743,574,623,316,667,364,968,871,943,522,517,965,
328,507,654,132,084,999,868,947,473,947,359,633,054,033,656,573,326,460,296,
553,290,388,961,593,339,268,309,171,236,593,604,756,092,463,616,030,609,852,
252,556,123,796,391,845,343,191,284,872,880,478,553,887,318,092,480,428,653,
857,079,405,054,274,481,461,581,048,859,506,242,554,313,073,471,343,956,943,
387,517,924,031,044,186,998,810,390,277,962,843,890,440,318,226,591,914,215,
132,753,456,709,959,901,215,202,975,704,434,989,835,894,608,362,079,467,971,
348,341,534,091,024,484,001,374,618,646,006,777,777,352,841,846,902,112,799,
654,469,476,352,939,022,973,563,173,624,298,622,685,519,884,826,777,938,126,
888,854,006,606,403,616,334,924,976,588,237,786,201,910,967,223,618,076,768,
379,042,976,208,084,831,538,510,290,418,573,256,076,008,045,292,498,959,020,
845,756,679,131,664,746,810,416,879,250,591,913,506,101,190,657,253,865,496,
318,245,553,700,836,449,659,435,338,099,909,663,913,269,903,064,085,872,368,
750,133,756,933,883,979,262,721,838,176,376,422,596,201,043,593,775,016,443,
747,160,588,813,737,666,351,310,666,511,079,714,060,569,926,206,357,233,679,
345,799,872,770,547,676,564,301,830,732,966,749,574,564,103,361,016,243,686,
195,187,887,664,628,323,696,649,302,440,369,535,783,135,828,083,826,397,690,
570,929,578,985,745,089,178,966,329,534,993,334,517,859,215,241,408,180,820,
774,709,861,734,755,034,098,763,176,164,767,157,911,488,945,998,256,023,445,
581,056,143,402,257,821,837,800,880,121,622,399,432,426,892,090,079,755,961,
585,861,918,320,073,438,439,487,432,668,985,365,753,008,865,049,815,283,516,
780,223,716,033,155,373,700,334,727,267,198,372,111,299,184,526,429,516,362,
200,163,581,582,847,304,720,979,802,204,759,152,857,400,984,836,325,189,280,
073,948,231,830,593,089,683,545,330,947,238,667,142,213,652,804,356,553,253,
129,226,497,379,194,668,534,529,059,229,411,537,604,760,305,206,520,054,733,
405,473,402,423,083,001,716,127,178,221,213,032,443,129,230,082,284,733,113,
960,721,360,460,967,827,955,794,936,522,061,760,732,477,604,469,558,091,581,
674,435,027,890,986,458,780,056,079,055,834,611,843,607,977,564,351,709,461,
701,561,368,782,295,746,083,916,234,248,242,737,209,229,642,921,358,216,265,
121,026,048,401,464,804,506,435,930,091,274,674,657,510,932,720,134,635,344,
836,680,812,256,063,730,862,919,341,312,193,250,505,575,396,292,927,471,413,
617,996,360,262,434,842,001,707,792,682,707,480,463,945,591,886,784,107,056,
166,141,213,547,943,069,327,591,189,489,125,325,789,480,139,178,257,567,072,
533,352,115,682,591,588,588,958,633,979,731,397,461,465,185,995,022,105,804,
673,353,508,217,509,769,453,025,877,175,239,989,315,811,328,759,232,403,655,
786,547,750,538,847,696,749,476,035,854,001,567,542,469,252,360,361,984,729,
318,021,684,700,446,088,051,204,256,532,978,469,430,193,711,114,426,842,587,
094,886,604,479,450,617,356,695,890,461,091,741,270,676,338,149,136,398,791,
592,511,098,327,213,677,386,002,222,284,059,001,638,369,212,057,082,162,483,
737,628,346,883,821,480,688,943,101,845,499,896,167,932,630,390,968,581,237,
001,636,734,184,784,521,819,757,043,410,238,505,485,688,218,731,449,671,316,
567,087,798,147,556,749,007,227,979,523,522,271,263,273,082,730,965,325,224,
879,013,386,404,380,604,675,114,611,836,946,559,419,945,874,299,035,019,418,
309,902,146,073,310,528,583,560,609,697,439,508,623,892,710,057,163,510,192,
757,013,869,891,465,001,246,714,426,922,022,647,477,022,048,828,456,334,816,
910,568,748,094,263,177,413,561,462,827,853,722,299,023,816,729,042,003,570,
625,249,337,883,799,152,990,375,502,601,218,462,284,490,945,238,896,941,041,
308,437,746,817,786,883,395,715,922,293,695,084,380,311,409,760,009,387,609,
080,261,398,111,291,369,309,106,451,717,759,766,537,543,471,109,735,252,227,
602,021,075,250,076,246,442,476,015,831,187,182,505,516,137,148,105,615,237,
844,052,080,856,433,599,633,443,820,923,440,578,808,848,037,349,378,534,713,
918,546,273,925,753,767,804,074,103,186,614,485,645,510,563,238,439,692,319,
959,865,182,496,468,357,180,938,946,513,005,119,722,973,129,492,969,932,213,
517,792,040,145,016,584,142,177,651,062,216,129,042,447,967,956,348,617,606,
781,971,082,373,751,967,423,654,404,312,149,026,664,776,663,418,600,953,783,
018,336,230,133,651,470,883,721,100,192,702,965,955,247,110,246,419,259,707,
694,818,592,605,205,031,562,334,042,309,156,226,726,543,690,173,213,912,337,
205,709,294,149,722,549,054,977,023,489,468,855,278,828,972,280,013,641,379,
613,607,801,419,229,779,370,683,029,375,600,028,808,549,080,692,142,377,778,
043,099,786,199,850,720,432,243,842,262,785,184,408,057,527,731,264,717,357,
753,862,983,360,147,320,488,861,122,058,770,413,410,166,757,812,108,878,567,
715,733,819,514,322,160,389,667,193,001,341,991,576,354,475,082,912,123,467,
208,263,022,323,868,545,567,254,407,803,883,204,280,310,687,453,782,502,761,
696,447,320,097,034,941,641,296,386,267,445,858,922,299,227,731,896,790,503,
340,890,617,749,620,495,967,000,453,283,997,478,151,867,308,484,185,841,352,
096,253,530,821,743,066,303,160,800,562,676,918,551,314,774,018,231,295,106,
824,953,944,560,372,168,722,439,354,879,645,198,367,931,858,525,582,318,441,
421,381,140,644,305,392,995,309,793,837,124,655,216,287,759,266,955,133,530,
451,094,309,861,774,125,711,263,190,335,359,952,560,956,150,417,636,397,483,
287,572,517,347,415,375,248,925,469,680,399,437,253,002,767,799,612,524,115,
481,028,952,193,181,064,976,894,189,600,084,227,889,582,156,878,899,212,373,
210,046,903,451,020,655,526,558,257,675,409,500,054,457,884,510,233,992,681,
399,820,009,443,956,174,730,982,054,374,920,500,102,705,969,249,220,294,812,
043,251,934,005,782,952,991,136,756,483,014,438,984,996,845,211,365,104,218,
744,770,353,347,995,454,766,870,521,098,932,240,775,797,720,227,225,243,916,
992,145,963,871,244,731,143,034,830,239,513,501,749,754,154,984,092,712,650,
186,609,236,720,548,902,941,024,669,099,270,651,965,118,250,405,748,804,881,
358,476,261,554,192,700,878,407,223,036,471,707,450,175,890,955,723,731,708,
671,166,475,642,395,133,621,144,934,811,783,284,743,185,677,667,744,809,509,
434,420,556,548,085,909,052,154,165,989,466,219,234,310,792,838,184,112,702,
796,738,638,799,960,904,325,402,018,984,739,227,139,060,366,118,405,291,560,
524,676,901,221,264,979,607,648,804,509,522,098,626,186,053,220,534,930,120,
882,938,612,779,040,139,338,042,202,850,847,919,457,297,600,300,302,566,572,
571,690,751,083,602,806,680,924,529,938,895,718,601,230,162,302,859,612,229,
724,579,614,383,506,671,694,521,238,609,015,039,446,779,583,309,183,377,597,
242,012,435,407,929,880,598,756,228,084,419,674,554,044,422,689,636,955,164,
934,463,550,483,708,412,525,393,866,105,307,794,737,938,203,893,926,183,925,
197,749,059,952,882,483,240,931,856,606,458,701,267,666,657,999,258,421,040,
143,383,427,089,190,527,510,123,062,852,682,566,174,945,967,737,910,020,828,
020,087,811,654,268,103,120,528,129,263,917,834,620,269,022,781,151,124,384,
360,803,408,234,241,416,052,789,507,639,946,965,654,257,947,479,272,021,646,
725,569,963,048,758,276,656,378,576,579,182,656,016,539,565,321,697,268,547,
768,374,482,198,083,033,607,120,366,966,922,078,553,742,894,804,087,950,019,
643,431,836,312,636,788,738,833,158,802,744,053,901,442,306,062,866,366,488,
185,190,200,022,597,479,386,983,949,737,463,918,648,194,841,873,650,730,311,
040,045,492,185,708,968,797,157,212,576,073,601,250,662,962,148,754,008,844,
844,194,381,357,672,210,779,983,884,865,434,305,328,895,024,424,977,459,735,
944,051,767,810,922,860,582,665,310,699,386,752,069,035,436,935,072,278,115,
804,380,333,704,315,804,538,277,115,731,590,354,218,265,351,002,649,973,279,
706,336,481,308,417,754,266,318,143,407,985,591,177,707,330,926,822,046,908,
380,411,270,942,148,488,374,832,827,942,909,064,902,982,859,709,074,034,338,
021,870,573,286,850,734,075,634,420,749,895,569,962,911,036,319,187,251,462,
625,019,332,128,862,991,627,255,316,574,635,209,518,991,307,480,784,656,279,
713,652,606,495,224,641,075,334,507,807,147,096,983,677,811,417,842,120,434,
335,665,451,942,258,164,612,817,347,561,208,014,158,252,322,511,020,781,901,
989,523,087,860,988,897,401,023,683,363,572,310,858,495,094,624,338,959,817,
530,615,906,881,555,875,239,952,760,712,174,362,003,761,042,848,092,762,279,
899,273,162,528,645,137,329,595,963,242,427,583,507,608,834,499,186,920,594,
140,373,097,152,592,634,184,783,506,596,919,116,200,477,014,876,694,185,311,
568,515,484,021,339,651,329,953,399,842,341,111,942,262,319,901,656,889,156,
208,842,884,855,368,152,207,292,398,588,695,143,758,354,261,399,125,023,148,
880,706,900,906,376,323,840,925,743,239,728,065,903,188,983,803,897,622,660,
256,980,040,863,410,494,803,874,722,305,438,869,907,564,056,488,020,718,580,
975,341,471,387,660,435,684,658,066,924,666,383,415,450,694,375,026,878,814,
686,866,587,007,974,512,626,595,593,501,672,902,736,088,838,579,752,384,831,
170,826,364,465,218,526,457,652,055,392,442,323,798,129,118,678,368,665,409,
227,750,924,426,748,856,446,720,436,573,633,233,498,842,524,108,686,852,024,
635,181,544,927,668,905,938,239,632,027,882,409,074,872,565,119,267,579,025,
968,421,512,117,977,415,586,820,783,011,061,756,168,418,541,938,805,900,441,
512,444,502,117,065,970,920,329,593,070,263,679,736,860,278,045,219,404,736,
543,005,369,793,822,076,165,698,111,929,500,662,307,265,271,620,833,338,578,
220,576,159,515,935,387,641,640,792,778,978,542,704,518,955,612,989,759,755,
766,406,174,744,997,712,989,568,743,868,490,375,495,095,956,762,315,241,203,
448,859,891,302,280,902,317,372,849,331,807,194,252,619,724,936,152,171,490,
016,651,944,511,689,180,537,812,774,502,107,103,909,138,450,284,073,048,342,
087,846,048,005,449,101,663,800,730,338,920,652,132,082,720,603,078,658,373,
567,886,219,936,126,382,482,846,516,870,066,768,729,116,119,857,343,530,266,
558,036,706,667,848,659,216,327,731,585,601,111,207,518,423,202,158,456,216,
817,486,861,251,114,446,015,135,621,991,760,059,000,815,028,171,594,340,203,
420,069,233,115,823,941,443,833,343,602,980,961,549,991,830,940,884,542,082,
099,642,510,960,489,043,009,088,638,211,072,535,661,581,703,375,415,971,926,
305,318,123,373,021,459,708,792,195,746,283,499,257,854,608,996,134,752,642,
600,352,911,568,878,600,760,087,328,514,843,681,297,093,666,135,684,869,839,
045,700,115,113,451,921,987,160,967,940,568,561,363,818,896,836,617,175,043,
675,403,399,812,085,617,762,973,882,808,639,370,627,843,862,164,184,015,468,
297,944,091,401,534,024,678,186,227,303,907,757,506,312,859,027,029,458,685,
207,174,232,549,774,251,893,405,255,952,935,809,051,273,958,247,209,092,237,
433,797,655,542,758,976,869,267,280,897,331,031,518,550,094,761,856,855,074,
098,748,905,670,269,892,736,222,134,439,670,940,627,623,891,213,647,940,149,
816,901,859,393,626,311,669,056,003,578,081,328,839,493,391,722,171,959,026,
066,505,821,223,773,035,617,839,779,559,530,530,864,325,168,472,877,680,884,
365,192,846,811,277,036,349,042,543,517,524,522,094,137,061,683,710,130,376,
439,866,989,220,737,461,367,818,750,096,351,331,086,004,342,662,879,154,364,
813,720,351,421,410,213,872,101,236,116,216,859,747,337,004,590,556,072,865,
131,540,147,941,203,566,506,182,887,079,025,484,815,070,740,323,756,034,106,
212,143,564,640,965,231,447,510,985,973,921,247,679,679,564,056,914,783,620,
010,361,959,019,905,510,346,689,966,987,078,254,977,935,550,145,146,345,416,
468,282,128,480,002,734,731,665,743,731,131,713,975,587,903,540,648,928,505,
342,320,046,198,198,515,360,336,306,775,457,508,651,710,601,002,043,943,784,
952,997,096,514,644,930,759,497,445,756,103,027,227,180,337,956,419,121,840,
030,001,141,830,343,391,836,995,224,754,377,808,839,146,854,627,733,973,943,
885,692,413,811,533,188,703,614,524,539,098,107,676,628,520,714,208,086,258,
118,635,524,390,672,925,596,331,780,310,251,805,636,965,943,485,619,855,873,
605,898,517,115,281,984,177,811,587,080,392,668,589,721,572,210,832,449,718,
756,024,972,956,090,968,295,354,515,317,917,998,174,413,836,474,766,695,694,
123,753,682,996,212,417,756,639,552,274,082,586,396,988,477,861,128,482,033,
746,405,842,588,825,695,901,841,082,885,741,422,404,456,580,822,473,281,414,
080,837,254,522,832,522,973,421,384,704,936,809,364,220,989,650,440,690,490,
668,641,824,893,481,928,547,547,517,206,345,867,686,761,736,795,855,974,611,
298,517,664,842,625,995,128,449,653,239,098,194,624,197,620,515,846,727,411,
876,194,365,545,579,590,925,481,101,201,647,502,520,170,715,724,121,694,455,
227,663,747,865,340,128,994,852,285,000,611,204,392,385,640,336,183,301,069,
690,140,386,023,510,588,740,502,250,473,034,380,076,881,221,187,768,227,126,
855,795,528,492,281,663,467,852,805,523,768,318,170,458,336,696,316,655,624,
389,913,311,466,731,572,799,573,898,259,904,968,805,098,000,460,883,734,377,
868,166,838,927,833,510,412,794,928,063,345,997,802,694,626,498,632,515,202,
569,079,903,372,389,990,178,523,516,580,696,880,225,926,780,702,393,743,160,
360,941,778,236,935,333,616,432,175,560,141,595,669,566,130,698,571,940,297,
652,397,669,563,077,972,851,815,872,176,510,938,257,310,638,743,493,368,427,
778,460,471,399,311,339,118,800,984,927,986,582,856,570,700,020,218,746,516,
251,440,501,530,035,290,603,999,093,884,533,854,561,413,043,341,399,411,426,
239,519,911,990,290,774,831,641,772,323,649,222,032,877,994,505,348,481,882,
480,161,010,908,413,375,248,228,743,988,987,681,649,978,440,118,172,690,750,
095,777,168,736,805,787,244,456,101,063,219,100,691,452,135,162,797,140,086,
940,566,049,916,214,445,170,546,968,645,854,750,323,870,561,340,403,904,757,
072,750,746,711,240,633,085,821,964,283,834,032,027,929,349,105,044,578,652,
088,849,448,479,644,761,073,194,446,823,652,503,065,040,750,597,466,321,315,
110,812,292,147,313,593,927,802,878,178,999,141,759,908,832,967,260,178,738,
978,128,823,320,268,956,015,831,856,351,803,609,861,266,110,644,439,039,005,
399,496,526,183,902,483,535,785,318,797,509,184,815,677,679,529,813,775,831,
388,571,159,602,010,701,862,130,316,216,491,478,925,435,360,349,158,244,964,
206,053,415,199,027,970,829,571,091,307,077,178,822,559,240,527,571,116,979,
687,046,229,817,793,901,497,897,550,749,737,731,714,434,149,119,614,827,583,
425,736,353,542,392,702,897,282,939,924,487,004,904,447,095,123,406,021,948,
849,340,992,743,377,913,396,205,222,210,469,319,917,790,426,679,081,007,456,
957,582,050,009,177,586,018,639,628,756,023,915,031,631,256,680,730,985,059,
862,495,410,248,678,200,661,740,809,125,739,637,398,186,436,179,899,344,872,
463,763,844,277,673,762,775,076,590,597,058,668,564,002,714,460,205,110,120,
554,773,246,268,306,033,196,941,354,142,684,516,076,754,301,666,318,924,004,
773,706,481,339,559,903,097,577,279,106,301,085,522,101,052,367,466,318,793,
173,796,406,549,868,024,520,220,601,373,030,247,556,202,670,128,702,689,374,
166,292,701,475,692,270,505,352,230,899,279,236,463,587,953,387,424,168,040,
827,776,637,189,630,434,608,399,402,058,653,648,540,546,934,547,627,304,564,
674,103,450,367,087,634,233,020,165,058,146,211,983,268,161,361,346,894,712,
552,527,198,891,333,230,191,179,401,976,253,007,912,928,493,565,655,795,426,
972,989,383,838,548,441,911,359,659,737,191,735,766,522,351,973,790,621,731,
261,348,447,301,997,841,310,933,153,826,972,644,277,716,922,276,385,447,828,
603,792,205,064,481,470,291,944,438,230,562,920,799,959,821,499,156,070,048,
315,966,954,122,907,138,569,277,782,574,831,836,574,070,291,521,096,383,460,
636,269,290,040,228,960,687,647,796,123,369,393,331,249,488,123,178,992,398,
831,880,581,594,476,743,653,975,082,138,252,484,822,974,195,590,385,726,146,
935,928,935,329,469,957,453,299,768,153,250,696,939,894,625,961,518,152,169,
935,305,797,678,215,414,819,477,654,724,814,367,294,903,961,703,394,699,191,
820,080,197,402,861,340,407,943,586,688,606,412,666,130,174,191,830,083,927,
911,181,395,127,297,829,024,054,486,871,783,552,890,767,551,623,361,487,308,
357,332,867,806,352,945,881,736,923,977,537,781,256,694,433,534,007,766,781,
317,740,318,461,835,635,687,334,872,678,673,353,962,024,966,395,387,514,703,
047,538,718,616,348,615,622,108,206,252,181,354,453,879,532,916,303,292,580,
193,473,640,578,487,867,958,674,324,123,188,118,737,010,447,144,737,372,424,
856,590,320,160,119,084,713,075,474,449,144,089,581,911,551,819,713,184,518,
706,946,263,570,294,815,864,987,016,989,276,230,113,581,298,335,404,139,516,
708,150,819,871,135,157,932,022,210,083,250,529,002,210,764,456,310,634,998,
568,696,659,969,680,410,847,480,280,113,959,741,744,895,643,242,634,856,774,
325,362,994,094,709,261,723,953,704,389,035,634,382,038,868,831,976,248,886,
243,215,113,229,118,874,290,512,958,889,496,315,583,495,094,833,564,681,327,
435,829,079,820,102,508,696,409,050,605,082,240,058,775,578,483,301,707,669,
208,349,453,511,987,068,172,380,284,504,709,367,028,877,029,194,045,145,058,
564,848,256,895,431,764,196,382,771,533,095,987,292,721,260,621,672,385,849,
916,050,914,402,316,484,398,576,186,558,778,113,769,443,422,646,489,280,219,
907,362,312,505,952,445,983,399,802,698,263,388,450,113,786,549,140,028,801,
185,334,294,589,963,808,886,603,226,211,008,893,316,456,078,661,168,550,235,
927,446,866,495,119,280,950,638,354,014,454,968,962,618,994,342,652,564,389,
062,454,136,521,942,584,973,336,596,720,550,790,211,789,176,807,947,871,513,
942,564,185,662,462,800,460,711,921,379,885,311,935,039,991,718,717,865,976,
942,517,895,292,959,938,819,288,974,789,745,780,879,718,051,399,630,994,043,
011,176,233,372,047,667,694,631,928,533,263,672,139,001,881,492,189,665,752,
784,603,744,547,146,120,342,895,421,444,859,625,608,291,574,448,074,244,812,
584,563,990,790,472,231,793,315,938,772,303,905,631,544,543,892,234,252,578,
642,757,035,623,967,911,607,642,357,457,396,666,809,083,126,740,012,996,322,
537,818,532,467,481,497,218,080,223,001,445,656,028,425,011,306,930,678,497,
111,636,881,976,757,533,747,803,728,773,944,202,438,656,980,620,543,506,416,
697,219,860,823,000,468,977,575,920,538,466,144,551,873,536,986,458,133,721,
897,881,455,293,170,487,010,494,283,248,137,660,495,603,125,225,709,695,106,
730,369,136,787,864,861,066,829,539,801,776,461,628,329,994,455,096,263,428,
355,062,083,167,287,241,992,516,099,188,506,192,520,437,074,496,463,264,631,
658,418,078,800,062,857,755,283,029,334,040,497,995,340,546,564,869,252,819,
796,877,454,293,825,197,064,230,050,266,848,080,834,519,421,504,515,661,622,
513,820,149,876,238,497,604,172,917,623,952,040,341,586,621,206,168,045,966,
287,003,571,484,838,496,539,991,442,654,599,909,256,505,826,147,855,053,724,
014,176,336,539,631,227,348,215,678,016,888,734,528,682,818,985,174,332,803,
479,493,179,495,311,560,219,266,457,372,692,228,024,225,919,441,111,851,871,
063,178,749,969,461,064,953,532,944,857,005,156,580,151,814,680,635,095,090,
671,191,060,106,341,865,740,782,422,963,313,336,292,706,935,205,435,175,835,
890,360,955,890,739,307,885,732,541,977,744,388,102,283,770,853,424,293,695,
517,200,396,907,751,226,702,378,785,408,219,852,036,837,619,662,333,416,496,
981,387,306,857,572,323,792,721,326,494,031,128,015,324,230,995,178,830,919,
281,514,952,466,250,667,141,792,405,782,396,467,459,151,472,031,565,424,410,
367,254,038,285,511,206,169,888,120,673,673,213,560,057,049,983,771,676,628,
585,127,181,002,959,645,065,213,991,121,620,770,845,659,058,479,908,517,054,
482,256,245,824,516,616,121,087,733,758,592,229,308,856,612,564,260,030,464,
336,462,861,370,913,441,350,754,674,056,012,458,223,533,987,698,761,820,303,
582,763,198,899,187,211,167,404,384,468,841,704,420,915,712,368,758,113,433,
842,751,169,803,625,209,872,118,858,215,462,999,951,687,381,789,243,431,077,
467,079,059,797,208,745,690,379,518,948,357,867,804,072,542,960,386,745,685,
183,991,543,815,919,078,899,705,831,885,228,867,915,022,940,803,349,750,056,
246,590,871,105,343,685,651,385,012,907,120,083,764,602,075,370,181,828,590,
174,111,126,516,028,793,775,909,695,119,276,645,409,555,537,677,326,203,431,
296,821,587,782,958,381,764,181,729,351,135,826,133,782,300,987,517,808,673,
453,050,708,951,454,230,694,735,837,877,572,477,620,371,351,627,131,700,784,
140,093,959,617,862,121,603,722,914,012,918,180,412,041,027,085,837,518,081,
591,495,852,993,273,459,761,434,978,365,727,547,026,010,507,394,004,575,191,
604,590,442,819,852,152,487,934,001,633,377,305,397,081,516,453,840,640,823,
377,171,284,748,836,361,588,884,713,444,394,015,919,266,300,900,873,650,703,
341,324,502,532,132,459,623,809,482,344,386,879,768,138,354,690,928,967,773,
520,014,845,695,163,694,549,852,758,295,188,071,878,267,827,633,886,979,512,
443,799,236,389,168,927,461,334,852,402,174,329,027,434,173,593,584,437,772,
896,151,743,133,486,204,002,216,833,280,303,924,386,857,959,759,605,658,018,
547,856,475,715,497,703,287,539,520,933,976,423,212,582,281,004,559,821,755,
423,163,135,785,254,805,297,375,570,493,660,916,511,553,925,650,483,525,665,
304,711,611,458,654,204,503,999,655,814,053,499,534,338,064,213,130,573,533,
486,223,066,114,959,129,304,638,269,497,771,930,911,367,341,825,807,921,357,
008,159,579,484,360,648,151,176,892,872,754,457,660,148,542,947,409,732,129,
823,183,403,084,038,133,746,377,636,311,399,663,817,421,894,689,164,421,436,
307,826,490,100,656,753,646,805,702,608,471,958,463,021,685,537,331,633,811,
210,025,774,262,754,557,364,855,033,163,628,855,521,380,576,827,805,912,121,
427,052,742,676,430,423,284,173,963,978,582,635,618,165,257,540,512,249,858,
735,856,643,507,799,019,685,501,567,506,679,613,180,460,258,398,598,531,018,
124,773,052,734,219,617,607,324,801,731,534,526,110,989,044,029,692,636,022,
682,364,003,575,184,420,550,047,735,796,109,892,254,840,093,235,429,771,404,
225,332,790,149,879,653,864,951,904,685,656,241,348,953,439,683,111,101,957,
476,189,233,483,251,094,441,500,181,509,178,872,820,120,623,599,309,373,484,
605,428,800,868,667,904,610,675,591,609,939,651,116,534,031,017,440,754,171,
644,434,856,146,976,918,793,695,552,170,928,912,270,612,873,268,042,534,527,
626,021,964,485,758,516,513,564,136,495,307,910,053,221,510,579,166,971,271,
607,030,156,653,813,659,086,971,145,416,657,314,574,919,816,040,619,422,097,
823,304,807,564,066,011,643,360,729,726,964,114,736,380,708,103,193,513,028,
545,430,070,924,675,376,161,751,388,369,243,326,692,678,931,179,745,373,939,
835,018,859,451,354,283,489,235,100,128,921,457,710,345,285,686,210,181,745,
303,876,196,668,936,661,190,813,442,039,942,055,306,198,979,480,013,817,655,
712,490,762,299,005,828,485,698,813,343,968,807,978,703,777,266,412,857,766,
719,520,755,246,498,921,200,858,572,385,139,602,179,273,603,421,809,990,051,
479,428,027,579,199,002,338,159,673,528,685,602,326,270,375,537,530,062,258,
378,344,271,932,117,857,272,681,364,054,030,389,664,859,304,562,560,021,283,
111,273,985,806,506,132,001,912,658,754,220,671,938,655,588,934,989,859,257,
401,931,866,472,883,737,857,769,165,210,088,160,715,536,213,398,784,051,914,
170,914,137,250,155,134,498,561,957,914,783,871,411,038,903,773,839,903,097,
721,578,409,913,420,223,693,235,950,108,108,504,018,519,313,321,454,731,420,
085,481,066,460,528,975,506,848,591,764,652,184,696,559,253,619,656,913,770,
259,663,457,128,623,710,621,906,284,974,358,655,853,371,039,911,260,430,961,
828,933,939,030,399,919,277,007,461,694,513,867,122,353,285,729,363,039,512,
736,877,536,784,540,389,645,079,444,180,478,915,970,404,698,511,293,525,988,
598,675,587,079,132,677,644,170,690,246,275,892,807,066,248,975,857,109,089,
499,669,828,291,746,370,318,076,662,592,625,280,273,459,850,928,761,515,983,
791,099,791,278,359,675,037,244,563,360,042,712,246,584,336,970,992,732,305,
903,888,309,204,906,975,773,095,178,738,426,891,191,640,013,284,317,705,897,
838,269,861,290,258,415,045,597,631,447,155,879,390,443,183,571,734,125,610,
863,428,524,571,373,449,068,128,774,900,835,476,695,291,745,157,765,000,155,
963,832,492,927,024,234,244,205,638,047,460,310,673,254,750,634,278,943,194,
646,452,278,213,896,171,848,347,947,183,945,801,497,140,821,693,903,381,921,
416,282,523,442,286,315,500,210,577,325,526,520,088,087,008,390,629,543,344,
096,482,521,166,346,478,108,331,363,212,003,353,667,292,803,525,932,953,991,
881,094,925,393,972,662,380,218,510,686,876,590,200,109,302,273,684,078,057,
409,653,812,681,902,750,990,983,517,752,197,416,801,464,259,928,289,114,332,
739,210,900,260,911,729,820,865,115,981,011,069,771,180,755,866,631,284,308,
481,028,095,462,054,546,091,994,346,558,065,544,870,378,339,909,080,314,708,
714,932,580,264,493,503,292,429,264,087,014,801,209,270,157,996,750,772,367,
360,297,970,393,779,486,509,147,233,808,489,186,208,645,900,196,391,782,796,
091,431,465,970,958,755,020,290,591,149,680,820,570,233,151,090,733,780,375,
698,871,932,322,223,876,635,385,086,345,276,569,759,669,766,774,955,160,617,
898,268,663,652,512,011,478,189,674,749,335,869,921,883,567,192,891,858,243,
546,549,343,315,277,830,694,758,445,656,415,122,820,419,430,832,087,942,827,
868,616,981,110,110,066,572,143,717,744,070,809,981,493,479,803,691,265,375,
948,899,597,781,888,176,128,363,296,891,650,342,058,248,840,543,463,100,540,
085,286,179,564,406,221,520,990,194,567,893,316,790,445,044,493,743,453,315,
890,266,456,273,894,669,001,177,093,846,880,354,819,306,081,808,383,429,544,
199,225,066,588,786,936,476,458,030,211,991,671,188,518,648,670,945,652,353,
121,782,538,776,709,842,620,951,149,641,620,368,742,770,544,336,943,166,074,
781,398,586,210,630,191,962,601,701,958,681,475,402,783,561,932,305,233,000,
647,815,288,549,584,779,450,555,007,887,340,234,553,073,394,679,352,335,967,
827,961,081,311,846,985,595,066,877,097,530,707,680,368,320,760,247,098,630,
735,215,477,016,798,316,427,995,015,511,158,338,523,941,557,097,158,299,170,
420,505,412,676,109,506,221,843,671,177,243,654,559,853,767,618,621,435,023,
165,810,209,064,297,853,759,858,891,052,771,578,465,080,241,384,689,818,180,
558,921,903,398,948,163,889,692,293,801,435,405,604,819,089,504,226,271,478,
275,141,639,231,620,246,152,070,396,594,698,093,808,769,806,729,056,207,328,
960,324,704,160,467,646,216,639,427,370,457,810,400,507,472,569,509,967,395,
236,299,019,916,222,026,924,353,538,797,041,584,651,202,072,960,389,558,945,
341,273,889,823,771,250,466,833,550,144,035,203,106,766,975,742,499,317,044,
054,120,478,077,356,328,853,720,790,068,959,413,076,242,210,737,501,223,670,
908,837,819,145,606,414,041,197,312,719,964,452,619,898,351,740,579,412,605,
640,022,229,841,115,375,218,960,172,840,566,237,436,903,200,986,445,596,641,
565,530,193,417,213,811,024,622,943,421,626,154,294,148,980,048,563,263,335,
402,767,318,510,351,337,310,256,550,452,092,160,832,953,228,543,191,249,154,
145,215,665,157,274,249,697,984,565,239,570,659,054,258,003,149,075,790,247,
610,351,664,917,806,312,154,481,294,741,719,884,567,782,467,346,752,724,395,
928,372,055,072,808,024,965,389,584,006,663,314,897,631,801,015,560,352,201,
637,008,757,608,674,860,559,437,551,678,823,145,350,096,861,541,940,958,449,
555,297,073,232,557,160,249,101,266,254,769,192,759,223,050,325,655,313,010,
342,426,790,992,657,007,940,486,218,583,826,769,697,688,080,453,785,287,925,
063,465,395,518,025,344,440,014,065,934,466,087,490,600,780,093,293,388,015,
456,329,685,210,617,341,717,066,769,329,963,817,184,052,828,117,908,770,043,
447,273,716,434,975,666,928,031,183,236,414,420,146,500,461,171,821,080,310,
407,454,149,925,840,099,455,371,457,701,159,579,785,604,834,563,525,793,092,
247,210,257,540,021,807,828,188,044,440,606,256,413,287,537,447,355,134,683,
944,158,164,166,602,361,814,872,150,365,096,381,083,544,116,753,220,488,161,
921,244,845,519,428,167,369,133,829,971,372,886,953,466,998,625,970,770,401,
616,666,975,857,455,424,412,518,061,610,760,696,880,765,037,924,722,814,001,
159,911,113,943,877,580,960,002,660,989,145,114,776,849,238,468,570,199,210,
610,041,705,726,952,327,599,724,502,740,237,712,873,014,512,329,030,944,730,
809,970,828,161,798,220,425,794,965,850,172,662,252,132,043,735,008,294,120,
841,111,040,631,819,541,697,470,283,851,401,220,215,246,798,333,128,793,051,
800,651,421,470,080,565,807,182,477,821,879,648,131,110,814,975,350,947,706,
022,390,000,109,883,460,543,805,502,120,100,951,778,898,054,611,423,692,921,
684,528,399,947,057,179,914,787,483,911,477,483,266,242,073,746,535,243,585,
234,854,655,425,966,453,489,822,581,321,982,948,138,386,269,295,603,685,644,
446,564,160,276,325,959,606,233,450,597,332,286,455,308,134,537,569,644,343,
208,056,673,692,196,736,494,943,822,486,257,636,390,504,783,361,153,593,661,
860,910,224,489,137,479,791,107,010,196,762,320,525,262,341,666,503,920,757,
519,391,832,435,119,134,190,678,178,948,678,606,357,877,604,459,920,544,322,
020,925,687,208,039,455,491,043,863,105,765,205,719,430,811,704,593,720,792,
988,042,300,820,760,836,241,332,822,436,241,849,594,101,916,988,340,279,681,
639,563,789,596,092,240,284,169,275,400,858,551,407,433,528,406,437,512,507,
434,605,239,229,237,395,754,876,325,112,740,362,369,404,175,255,165,786,149,
210,407,881,467,094,950,480,696,524,481,932,562,294,951,515,066,899,352,587,
465,703,559,569,960,488,314,954,749,861,849,990,472,893,998,869,381,981,700,
158,865,037,859,234,657,517,922,997,449,089,664,576,615,187,921,273,816,112,
873,829,650,465,728,538,020,702,359,032,190,265,979,262,660,560,860,309,433,
232,016,752,819,032,516,424,960,997,580,537,398,276,550,010,900,478,646,472,
331,452,372,131,161,307,997,867,736,256,537,170,752,838,580,304,270,615,381,
292,253,991,109,276,106,083,207,396,382,106,143,780,265,794,317,022,483,415,
346,303,004,140,435,989,117,710,987,274,534,528,832,938,632,836,939,785,463,
023,642,941,829,854,486,633,607,476,542,198,857,621,382,263,726,788,296,878,
271,789,001,799,448,998,106,762,856,101,153,343,546,819,300,668,743,246,360,
171,735,689,213,282,437,499,854,670,102,904,171,660,282,769,984,644,089,288,
754,270,866,181,126,994,504,169,779,879,632,293,981,308,871,421,493,747,173,
999,425,543,690,992,889,677,389,327,281,817,226,303,418,675,980,035,733,587,
117,709,922,925,227,813,041,498,170,262,615,235,278,317,373,007,119,867,894,
019,264,534,331,312,406,662,707,867,399,439,487,533,694,700,408,462,781,159,
130,988,800,742,778,181,373,848,901,627,223,688,908,733,081,763,265,190,242,
599,100,251,302,451,583,846,243,471,206,222,948,151,049,136,868,954,708,664,
775,316,675,586,520,232,703,804,152,335,955,187,436,655,717,113,277,806,761,
942,862,430,051,035,613,154,432,350,053,686,799,006,088,206,566,847,422,984,
468,061,528,491,169,064,852,084,804,488,081,865,133,108,172,716,224,775,435,
675,922,602,186,171,085,438,884,491,642,173,026,319,094,762,633,189,534,923,
426,725,940,558,034,113,263,285,768,735,019,065,309,573,883,042,709,363,409,
373,235,514,412,906,059,627,751,475,214,692,494,826,027,380,165,506,253,538,
088,655,125,394,213,305,133,707,595,381,945,072,884,724,557,326,455,505,714,
224,318,030,427,656,840,766,871,535,829,884,013,532,454,525,106,966,267,035,
874,395,208,715,914,234,531,003,729,413,120,605,188,433,500,007,208,939,628,
040,987,667,348,874,930,412,991,056,483,031,638,664,973,737,051,051,076,996,
770,960,352,224,647,775,410,337,765,797,387,667,153,240,097,631,244,526,814,
659,397,079,500,493,549,585,045,620,380,291,144,530,250,885,048,266,011,178,
931,306,009,188,677,603,075,037,343,825,188,686,303,044,791,332,837,812,872,
267,106,027,721,154,769,610,574,314,442,666,244,897,308,961,864,096,672,340,
168,414,251,197,764,514,694,387,049,152,983,502,014,909,876,535,056,110,577,
241,423,423,069,096,415,380,986,402,179,560,301,014,298,469,415,389,023,069,
799,161,259,356,809,273,190,973,775,457,813,257,014,640,635,801,520,642,685,
889,320,052,211,998,736,426,695,903,777,914,612,240,609,657,219,731,029,418,
266,181,276,307,336,290,186,228,235,236,590,109,213,428,005,295,345,716,655,
328,199,227,506,674,797,484,104,242,084,889,445,834,968,390,454,794,650,033,
777,861,628,595,470,338,367,124,980,897,572,568,380,255,770,915,341,554,116,
207,461,318,734,096,461,513,508,950,737,722,823,346,855,308,593,707,595,774,
398,635,554,040,793,134,144,898,251,454,202,326,532,446,994,027,701,585,082,
771,571,477,738,107,094,917,009,742,617,982,344,606,777,387,183,882,591,038,
542,092,405,263,288,846,509,828,661,595,885,030,035,693,320,200,561,175,180,
774,242,919,565,986,761,625,229,302,664,441,397,306,988,764,416,641,862,790,
721,260,467,788,333,090,639,385,832,998,198,059,257,203,999,870,880,708,603,
646,225,638,881,479,123,018,228,072,673,113,176,365,457,877,489,934,220,695,
053,247,575,816,889,444,619,247,980,868,349,185,818,806,728,106,675,965,486,
121,538,495,901,763,273,030,040,226,655,803,774,762,756,043,179,202,710,837,
290,726,601,429,694,960,816,317,776,952,268,639,744,580,744,098,533,727,625,
638,227,937,528,068,745,953,465,587,869,284,132,082,943,609,199,797,580,511,
628,354,221,995,687,374,768,581,494,226,126,382,537,149,803,497,268,438,302,
949,359,586,411,496,142,926,604,524,988,626,028,090,266,240,029,994,496,965,
968,619,277,778,918,114,839,311,009,216,363,080,091,836,381,152,638,149,208,
808,929,861,611,144,239,705,287,011,301,120,569,846,750,674,571,621,429,266,
181,568,083,260,847,068,976,869,145,524,792,521,506,088,023,262,206,365,794,
534,019,578,390,106,490,584,961,665,572,321,656,431,268,806,705,880,258,783,
525,546,089,700,488,937,623,847,741,229,828,925,983,157,622,836,524,580,442,
252,346,403,669,829,340,931,726,498,072,840,425,261,796,209,705,030,863,494,
355,767,404,846,595,746,499,709,648,616,956,499,533,729,576,463,761,428,500,
094,595,453,980,813,126,372,810,827,440,616,341,719,612,127,685,358,753,023,
714,459,929,703,375,251,266,085,472,736,005,027,048,213,459,789,514,711,815,
223,667,638,946,431,490,100,826,252,234,374,455,916,164,619,101,012,954,882,
586,502,506,690,188,134,798,743,629,208,143,222,434,830,581,443,146,470,512,
617,178,516,717,735,679,589,319,377,423,872,825,654,355,662,903,281,071,825,
268,673,391,383,727,981,706,768,754,656,382,586,774,932,334,813,639,895,007,
046,826,816,592,582,496,958,864,414,769,128,873,192,973,616,247,441,671,770,
516,007,039,621,670,501,437,754,976,350,814,432,743,692,738,049,286,471,092,
752,479,758,340,354,502,795,863,787,170,642,962,526,063,186,187,924,767,638,
565,398,722,771,322,888,787,902,960,503,504,543,052,733,636,200,549,816,772,
013,413,004,821,243,158,390,044,343,862,940,609,730,619,046,286,014,308,940,
701,617,187,051,295,380,660,179,138,052,259,244,503,645,093,887,876,064,685,
162,994,369,736,931,814,982,751,033,219,914,995,774,800,734,544,296,085,494,
366,434,286,836,237,128,399,397,388,710,712,855,586,697,625,632,114,778,626,
555,449,459,220,548,151,662,129,042,681,794,692,336,535,648,936,487,628,364,
698,356,158,796,318,528,465,279,326,700,075,917,804,501,614,051,641,266,975,
986,571,867,607,821,555,634,936,687,424,998,751,547,615,958,992,831,191,662,
539,889,538,765,729,536,129,498,817,643,287,136,964,633,187,652,339,784,346,
659,881,348,579,877,215,373,571,398,558,908,943,227,698,170,963,277,814,979,
195,299,082,736,789,449,006,491,854,587,919,433,471,423,412,922,757,182,711,
105,197,995,543,540,325,853,592,088,610,694,776,938,011,702,586,871,907,774,
375,449,900,372,563,659,894,773,161,837,969,050,866,712,630,093,544,355,413,
987,746,192,659,520,550,526,168,824,494,929,415,415,503,822,522,510,592,555,
118,489,641,663,336,614,824,331,953,296,555,346,718,732,580,401,481,797,966,
621,409,530,642,812,903,130,186,004,473,866,421,102,008,647,042,910,154,313,
912,159,212,432,210,239,981,350,627,477,078,260,145,791,955,342,928,260,964,
922,444,414,858,871,236,824,651,454,864,444,345,299,681,174,270,161,156,197,
194,080,446,844,518,764,218,314,951,009,239,183,141,635,031,888,438,783,121,
223,897,550,582,841,520,114,730,052,863,822,086,497,901,772,345,693,196,943,
045,021,249,639,426,445,678,922,888,239,668,419,497,973,703,567,844,773,413,
450,813,920,909,599,545,737,971,558,662,210,450,333,739,248,825,746,534,571,
817,927,194,285,497,600,902,458,937,898,271,682,551,865,891,646,028,978,361,
562,471,871,258,881,281,011,949,883,644,703,118,634,135,312,362,225,170,609,
051,555,583,470,555,036,035,644,391,452,960,946,037,234,759,622,013,397,272,
715,266,761,863,346,869,274,667,622,628,066,742,308,117,596,339,480,301,456,
676,369,070,686,969,779,237,007,352,784,533,508,957,201,827,056,377,593,711,
992,209,024,778,975,889,521,750,305,648,260,346,656,322,575,211,863,896,242,
306,774,356,963,345,529,332,441,557,165,185,860,689,339,393,406,482,867,289,
285,507,463,750,597,064,936,295,517,288,187,643,981,572,603,041,108,777,704,
219,393,192,511,753,198,308,061,668,960,603,131,266,801,668,989,671,482,455,
906,829,125,176,562,597,561,274,112,718,774,751,385,643,892,932,748,946,209,
050,686,372,264,167,480,360,403,402,185,272,486,986,979,823,575,970,076,114,
964,540,791,440,835,116,803,073,596,870,348,794,241,083,801,578,285,169,147,
864,153,322,629,856,633,572,005,304,214,396,034,371,551,033,502,143,543,022,
468,252,927,704,185,315,915,540,624,192,579,039,592,839,989,990,884,038,670,
583,699,162,263,180,053,865,791,165,995,098,776,886,154,000,353,450,747,684,
242,836,807,072,814,327,656,267,444,069,698,432,775,396,116,252,513,010,802,
023,695,006,650,281,843,915,550,816,769,244,705,375,458,125,067,568,744,838,
464,368,440,632,333,145,196,851,545,154,773,850,082,221,478,308,754,895,036,
192,203,782,673,213,318,851,171,670,976,772,507,605,112,038,205,155,208,957,
600,288,596,502,726,995,776,580,038,675,906,241,137,106,753,260,956,130,457,
785,353,390,295,510,318,651,104,218,043,808,597,572,794,029,080,897,026,383,
240,566,807,888,940,760,136,312,082,100,386,307,232,104,490,216,327,801,220,
077,566,572,272,473,050,561,819,450,491,831,528,012,368,531,552,926,338,589,
864,168,374,074,451,724,373,152,620,405,294,567,800,487,579,300,062,474,226,
992,251,148,942,968,269,778,450,898,198,313,878,228,762,641,752,048,723,943,
223,609,157,850,951,186,378,278,769,134,951,080,060,499,162,270,836,496,768,
967,856,425,673,137,488,801,115,927,397,161,565,702,041,658,869,771,798,356,
040,990,758,330,399,042,550,967,640,533,383,283,022,413,777,856,072,849,132,
787,031,421,092,064,082,749,013,521,080,291,924,717,309,564,433,276,980,765,
271,887,365,826,780,297,741,198,918,360,650,418,772,677,756,902,187,407,216,
830,269,214,050,057,758,757,911,921,968,051,132,227,265,467,086,725,574,703,
514,351,760,671,040,623,787,735,480,891,755,124,433,007,321,608,265,390,062,
540,945,767,100,023,874,521,462,796,164,649,898,528,911,783,696,133,941,946,
619,614,433,378,341,841,635,099,135,709,982,870,197,003,490,718,241,675,830,
368,019,356,657,670,455,716,062,856,197,449,490,641,572,462,127,650,123,392,
950,328,052,586,821,402,092,183,507,183,216,046,600,121,227,899,372,706,310,
234,435,884,083,176,359,277,285,433,493,952,461,623,377,052,738,569,275,099,
080,271,160,849,100,112,181,115,826,077,182,810,353,080,592,553,144,834,694,
908,572,408,920,365,700,585,753,690,733,984,719,107,573,126,983,060,592,440,
583,562,181,134,405,473,589,220,983,887,938,324,334,374,263,985,920,509,553,
343,981,554,102,734,971,494,212,024,018,477,527,045,427,490,764,140,311,591,
453,879,411,281,819,743,222,321,381,544,414,856,493,153,751,381,137,328,756,
372,997,563,400,476,724,627,014,864,335,928,246,501,006,116,604,205,123,003,
274,269,553,711,819,320,808,128,180,694,146,570,567,132,139,883,769,006,652,
748,480,505,837,404,180,832,806,162,188,068,747,951,897,051,965,297,421,030,
418,625,261,227,313,413,365,113,116,812,092,687,892,690,279,745,345,877,388,
187,906,412,759,690,447,995,002,292,698,509,471,648,831,944,818,901,575,380,
021,667,130,381,632,408,573,994,647,006,257,684,574,076,280,803,087,492,789,
900,958,107,552,264,755,626,657,196,628,719,934,954,544,912,059,418,517,756,
052,062,403,056,561,638,291,993,418,846,949,299,010,558,110,960,383,006,678,
830,601,332,367,362,688,767,887,656,964,490,813,718,388,507,056,011,094,178,
355,002,459,022,471,054,954,967,369,772,096,043,657,648,940,153,282,013,463,
439,235,520,885,715,754,841,999,332,548,135,071,986,084,109,216,030,386,227,
169,694,052,459,822,700,633,813,251,483,195,138,935,319,455,445,480,610,386,
568,686,558,931,403,038,492,585,112,702,537,561,155,464,853,842,139,648,361,
040,029,128,139,693,932,201,675,186,013,461,417,335,657,036,145,862,970,258,
596,689,829,602,825,589,962,284,105,288,847,482,984,416,761,000,186,760,170,
761,847,592,411,462,458,404,494,137,656,701,926,761,815,540,308,610,855,318,
177,011,997,884,757,931,656,724,562,179,964,627,924,879,935,556,902,825,663,
734,639,659,752,978,223,767,732,921,861,610,464,097,309,282,829,015,045,471,
317,080,064,617,176,698,969,749,746,632,618,190,162,448,329,252,322,805,385,
995,990,380,092,178,467,181,670,165,704,131,986,360,367,144,632,543,358,644,
094,827,527,682,220,730,421,313,461,520,695,908,170,079,188,232,726,302,561,
725,858,199,192,925,316,359,745,410,928,936,817,915,660,173,963,970,487,138,
966,741,768,987,164,537,206,761,503,684,579,451,317,119,500,113,829,990,302,
928,393,853,479,998,391,760,633,886,748,995,526,277,028,158,075,428,358,916,
935,284,389,014,705,875,463,190,366,747,138,157,968,921,134,556,740,041,298,
590,443,081,653,655,608,261,985,279,907,826,445,797,810,165,472,682,078,345,
426,155,826,292,072,251,387,448,340,627,332,596,168,499,814,054,905,626,346,
189,264,804,615,859,299,418,017,685,684,844,996,075,890,280,016,984,440,327,
941,459,287,351,074,948,341,467,659,790,749,649,564,592,314,158,829,344,498,
972,563,974,663,933,383,203,591,259,257,410,464,586,798,715,656,508,147,127,
541,291,462,119,932,352,555,136,316,940,638,553,295,034,528,371,584,432,259,
150,992,096,781,046,284,169,020,401,198,184,769,340,887,579,386,686,960,399,
266,349,338,758,179,226,552,415,280,823,077,051,541,117,489,736,368,446,394,
075,601,086,246,360,222,541,406,543,242,335,404,007,654,093,035,753,106,299,
233,560,645,759,570,892,829,222,665,326,409,813,065,128,183,282,097,884,233,
023,282,025,769,110,241,658,025,663,976,568,759,126,911,851,431,774,614,376,
405,194,738,196,245,809,889,114,741,810,863,140,588,311,941,969,593,329,150,
640,432,785,713,208,586,823,416,275,988,760,001,000,088,807,812,869,651,996,
476,414,598,974,995,256,633,829,743,131,823,372,265,725,666,900,286,087,803,
845,504,315,042,864,732,674,611,620,849,163,238,085,827,264,335,791,332,303,
085,286,435,607,420,909,000,274,187,927,336,280,704,748,527,027,221,646,448,
662,080,888,029,288,231,336,968,270,114,687,452,662,999,273,424,209,730,026,
219,020,272,756,431,608,806,257,301,195,863,631,781,136,954,061,869,298,505,
306,889,475,060,998,579,912,591,819,903,896,742,621,451,583,640,777,762,659,
591,405,879,816,340,450,560,241,079,606,428,030,980,517,808,649,232,075,052,
359,415,523,655,340,666,046,083,004,213,605,558,947,678,431,988,701,320,499,
814,757,782,444,009,355,054,866,113,794,981,540,293,071,283,056,947,415,764,
010,375,121,967,032,981,503,727,082,320,431,136,062,926,055,147,765,104,503,
483,554,046,872,449,597,788,486,587,331,037,184,215,932,216,601,057,377,502,
808,670,672,642,486,305,785,961,018,563,921,159,902,508,519,995,064,327,327,
428,851,254,134,178,047,666,224,589,995,193,435,130,894,729,912,736,820,456,
305,001,949,906,767,002,963,162,930,031,808,123,568,590,594,699,624,375,937,
321,934,301,742,790,746,673,032,931,518,291,067,147,839,378,368,731,478,577,
721,000,606,238,786,090,609,948,484,804,065,285,334,597,321,607,393,020,972,
154,228,123,515,475,063,346,761,279,427,054,815,056,104,958,992,908,649,692,
795,112,585,243,900,279,614,729,672,866,057,984,961,339,485,940,016,046,135,
969,484,087,438,459,359,839,706,821,484,102,477,314,590,380,943,094,061,293,
641,953,641,353,870,870,508,297,034,676,488,466,112,066,214,263,606,927,674,
635,653,851,555,382,936,237,013,488,469,624,841,056,939,082,888,570,217,484,
594,706,679,285,358,553,943,491,056,879,381,980,978,944,959,892,292,627,901,
964,095,790,259,114,775,264,958,126,731,111,206,275,777,667,422,314,973,417,
985,020,149,888,972,781,108,412,056,892,545,621,648,315,618,543,129,747,675,
403,512,015,816,654,490,420,662,239,787,218,551,589,260,254,188,768,742,892,
049,679,291,285,066,389,474,650,252,087,411,966,042,128,632,639,418,585,786,
606,856,522,451,381,427,913,900,575,633,535,694,188,309,882,416,274,314,275,
606,735,594,222,929,590,056,075,296,122,121,133,194,889,368,372,696,783,780,
671,557,956,320,811,403,519,969,356,869,834,919,213,470,634,613,224,776,280,
681,030,403,716,756,388,375,468,489,011,109,588,331,277,053,391,239,903,497,
763,948,560,851,636,151,988,725,975,038,238,822,016,924,600,200,712,693,986,
790,503,870,454,616,193,607,643,732,621,087,394,694,005,578,418,612,438,961,
360,475,154,373,768,799,683,996,408,106,602,554,047,668,867,758,244,943,776,
047,384,782,770,073,392,778,761,383,994,237,501,641,743,162,064,388,424,970,
348,422,047,563,141,497,068,822,209,277,110,512,739,112,984,749,900,053,900,
465,780,572,879,992,805,162,169,351,546,052,386,517,712,488,763,246,575,441,
431,216,246,300,879,865,042,018,016,386,916,929,112,147,974,069,979,638,259,
103,008,877,586,498,371,994,279,791,040,993,597,661,169,324,797,425,018,034,
946,907,610,302,425,481,729,385,464,228,203,782,026,514,179,590,949,279,746,
925,363,593,329,381,512,218,332,665,550,741,303,668,217,193,760,583,017,681,
274,541,196,853,019,725,847,637,568,776,745,513,745,907,618,982,930,332,784,
500,419,624,806,953,248,095,568,711,558,646,115,301,158,613,489,924,434,582,
993,216,613,848,771,505,320,759,258,412,058,434,405,595,988,813,743,464,090,
626,942,947,381,910,073,903,473,454,789,022,039,805,121,839,802,890,825,676,
186,228,968,134,409,049,385,460,475,476,304,348,783,346,699,677,272,980,171,
549,685,887,589,279,988,232,299,129,404,119,249,713,133,064,419,027,634,160,
752,334,096,191,064,830,923,849,137,055,806,875,389,284,001,293,773,378,783,
372,129,009,675,348,775,183,719,999,644,498,720,446,129,181,481,512,890,893,
058,788,463,494,643,416,489,163,285,312,321,106,048,173,028,742,337,589,885,
383,069,687,623,337,276,969,764,861,847,436,801,791,670,017,437,087,840,778,
946,002,991,692,380,256,321,012,004,394,832,141,403,864,414,301,565,292,083,
747,495,898,158,463,454,912,705,174,982,987,459,035,362,781,706,722,990,806,
539,242,954,179,731,075,565,355,589,786,773,692,084,084,456,128,471,717,696,
014,095,067,021,026,464,941,971,388,958,829,185,407,382,284,651,722,334,904,
973,348,007,234,696,868,838,573,437,367,663,852,495,241,589,059,613,378,550,
952,795,023,214,475,314,923,822,104,693,621,619,503,630,158,698,284,743,999,
098,224,705,609,408,480,847,578,957,021,247,716,061,935,741,590,164,379,929,
062,859,102,748,675,219,165,106,663,330,455,748,701,677,953,595,781,903,544,
249,123,411,913,803,336,151,616,934,741,703,618,171,093,516,919,120,293,930,
683,114,889,876,591,013,007,180,838,740,617,111,999,531,346,384,393,156,087,
607,769,782,610,529,900,175,179,592,200,066,795,517,933,906,656,023,180,482,
174,083,821,140,919,222,460,947,541,499,878,626,470,051,386,910,891,201,044,
340,613,273,982,316,675,944,907,508,988,988,549,586,799,436,636,937,084,912,
790,736,544,017,598,284,360,762,720,056,843,883,051,722,787,823,557,614,065,
622,940,725,018,562,510,139,528,620,290,224,285,398,405,999,909,134,853,467,
003,083,585,064,609,077,576,546,660,123,555,636,770,792,981,132,368,274,175,
550,307,565,587,134,408,054,835,169,145,993,994,477,306,438,014,704,876,535,
637,977,398,547,579,916,850,379,879,710,722,532,615,761,857,958,292,219,895,
562,146,077,292,201,379,461,235,187,754,236,397,965,375,047,753,922,116,572,
260,844,977,320,651,879,262,025,941,905,735,122,470,087,804,084,465,122,100,
188,735,065,032,437,230,703,963,890,453,346,544,322,748,510,041,951,379,474,
095,871,670,205,391,611,546,622,846,395,948,528,351,632,461,198,259,650,879,
365,189,788,816,340,687,003,182,261,763,500,146,387,069,889,113,876,402,733,
959,613,413,126,934,038,716,967,010,149,563,249,396,733,413,878,230,308,792,
054,948,060,932,634,360,339,123,039,950,856,921,197,873,389,525,990,160,757,
981,037,185,653,359,443,387,586,940,131,358,055,478,478,206,476,575,525,403,
939,595,545,179,891,887,003,613,212,884,738,577,771,877,460,571,734,228,258,
865,597,647,593,548,549,212,858,221,348,656,739,092,205,879,027,224,342,075,
918,085,157,792,681,460,229,592,834,580,584,260,301,539,256,740,047,379,936,
219,465,708,880,387,585,871,460,341,894,210,344,352,855,356,141,422,924,680,
943,897,131,641,566,054,030,401,982,628,668,788,272,548,229,322,377,398,650,
372,891,333,173,083,525,835,602,893,251,516,901,039,522,366,461,454,603,280,
406,179,806,579,725,983,381,525,668,385,438,800,400,207,273,715,308,972,924,
288,200,224,107,596,986,568,237,692,257,614,815,678,759,140,213,714,325,543,
602,784,843,794,953,646,028,102,994,070,647,219,559,362,657,015,128,749,247,
352,852,216,202,936,275,210,895,552,073,351,022,659,909,132,980,904,733,570,
108,760,776,090,666,577,469,893,184,082,580,464,112,118,069,031,553,021,105,
706,340,909,100,238,186,292,943,737,997,677,542,629,882,401,934,052,764,936,
948,775,192,745,444,544,603,245,684,150,524,427,116,285,750,580,176,157,916,
941,110,544,294,943,508,776,730,022,333,640,415,086,151,972,037,351,539,695,
280,788,750,760,589,214,633,189,225,073,414,615,551,364,315,395,863,061,847,
350,188,845,673,505,245,755,636,033,513,052,049,949,454,907,211,562,819,610,
143,803,098,519,506,487,031,522,563,074,011,825,525,306,928,799,688,685,407,
456,571,886,663,259,328,775,272,561,803,399,396,814,890,807,001,815,685,097,
852,332,353,748,597,388,534,086,651,861,180,900,757,642,714,580,005,959,510,
673,947,290,007,283,490,535,002,147,053,041,476,818,426,362,146,595,838,649,
993,543,229,399,513,915,096,544,242,863,129,277,390,673,161,365,081,649,376,
814,090,315,709,663,380,844,672,754,157,526,009,438,119,719,481,276,848,326,
810,517,687,866,769,134,624,519,727,795,524,368,998,617,058,281,932,331,794,
160,226,409,788,124,470,897,109,161,717,526,964,069,244,345,624,830,294,811,
297,147,446,337,716,444,501,235,249,975,487,047,039,159,738,694,989,397,126,
277,939,624,105,338,916,321,969,554,215,864,199,922,010,607,197,063,581,881,
251,665,100,194,405,302,716,163,493,505,390,549,337,183,737,794,117,566,864,
706,462,912,900,474,240,978,486,762,141,707,863,971,860,562,155,905,414,325,
444,601,949,399,557,562,687,884,267,206,886,189,043,787,808,380,486,306,883,
692,143,554,532,887,276,332,181,953,639,286,557,219,787,897,992,171,732,012,
008,045,048,772,425,224,180,170,801,332,697,736,660,769,481,408,462,768,185,
420,689,312,076,031,186,948,809,847,794,798,111,652,643,408,539,134,260,513,
092,507,454,501,589,372,697,019,032,701,600,688,447,225,807,670,062,233,384,
089,267,100,595,435,505,523,594,076,501,321,825,961,701,656,330,196,880,368,
428,958,020,824,981,216,682,422,809,407,773,735,852,742,640,329,550,728,039,
854,589,003,448,273,841,913,507,307,501,992,458,504,727,994,449,270,282,001,
484,628,082,707,507,517,566,602,624,817,241,386,292,648,358,730,627,706,575,
154,666,415,999,087,937,741,065,093,239,449,838,989,565,483,843,934,443,530,
938,558,708,184,986,211,958,708,248,620,794,922,344,375,584,073,433,963,672,
804,279,866,972,645,482,224,581,695,678,968,740,572,725,885,255,986,664,198,
129,695,364,800,738,954,394,772,601,086,821,161,836,649,344,902,368,280,501,
706,930,834,290,186,154,556,274,609,899,542,969,069,877,789,108,191,535,436,
585,475,262,259,181,235,030,667,127,407,563,122,481,650,149,452,966,029,793,
404,910,568,553,282,605,876,475,718,684,040,968,475,389,794,464,863,708,608,
547,119,238,400,401,650,644,655,971,633,088,121,183,678,328,507,441,305,943,
987,006,694,479,826,534,949,592,514,894,393,361,068,016,004,760,153,396,693,
781,701,362,521,622,211,207,718,704,471,954,483,823,902,697,366,161,753,575,
484,040,657,040,682,392,975,096,665,565,848,710,415,353,256,993,250,758,369,
320,430,612,015,112,202,835,683,187,177,320,181,017,450,981,865,084,234,924,
591,354,367,165,154,004,223,886,484,443,612,807,921,853,099,985,006,914,017,
721,195,855,422,896,335,732,383,499,136,790,084,119,585,877,440,035,532,560,
617,586,778,619,568,375,233,784,338,160,812,323,378,741,862,338,744,235,565,
674,258,836,579,209,326,699,204,873,783,908,612,089,556,744,411,669,448,890,
584,366,676,677,051,026,985,744,981,452,434,982,239,874,531,068,210,656,908,
781,239,666,848,440,415,701,084,454,532,089,834,402,778,361,318,185,842,008,
539,302,285,299,604,852,133,728,035,845,922,629,937,080,816,998,062,196,362,
743,877,507,532,604,413,677,090,757,278,852,165,579,023,252,390,456,007,060,
373,925,380,208,055,862,965,950,958,097,225,834,409,869,657,923,324,911,571,
749,658,449,402,184,978,225,629,172,451,731,794,012,347,790,483,324,083,181,
114,225,255,108,668,552,359,836,481,335,012,216,655,397,105,226,372,035,053,
482,458,324,942,905,027,514,319,606,083,932,617,634,380,598,908,185,768,997,
472,641,460,523,922,287,256,438,315,546,776,225,982,257,474,715,488,022,514,
510,006,975,515,844,915,569,183,903,704,833,658,331,344,926,274,126,074,389,
597,044,078,992,292,989,446,863,849,511,480,999,577,091,330,002,691,780,184,
502,720,210,459,475,793,775,196,709,821,155,463,408,788,506,759,924,553,316,
675,017,641,558,982,806,491,871,811,208,700,092,608,520,005,770,547,496,809,
964,972,034,325,158,591,651,500,404,727,591,784,611,971,683,585,451,791,906,
897,915,473,731,965,778,064,856,619,451,332,453,403,681,285,877,295,989,185,
126,943,123,685,766,751,561,006,574,385,498,716,567,317,229,940,197,811,008,
477,774,053,822,600,673,394,456,402,148,093,324,587,338,188,560,580,708,050,
161,399,921,859,815,494,664,740,632,828,036,046,326,811,508,822,346,841,165,
681,252,215,641,576,614,892,712,782,524,164,435,509,465,946,667,060,139,469,
973,689,220,704,639,807,113,541,706,146,533,495,318,506,380,050,180,995,500,
347,332,132,405,090,587,432,051,752,200,984,591,739,072,820,370,838,636,108,
602,657,029,361,744,616,398,026,422,605,301,976,174,207,970,567,933,209,747,
721,641,253,276,222,312,222,652,396,886,110,705,850,068,378,243,793,599,851,
364,590,797,065,725,160,045,799,748,670,273,324,896,942,005,549,167,526,366,
665,463,462,461,525,110,020,813,972,149,780,338,367,932,335,440,016,473,942,
184,293,002,900,023,245,640,470,243,454,728,929,715,938,251,118,876,065,611,
785,797,475,568,798,726,107,775,113,471,226,575,420,103,152,738,498,778,334,
337,619,833,952,596,501,595,033,454,757,405,909,714,799,368,465,175,312,863,
351,807,639,783,187,679,536,418,419,508,925,173,305,333,207,265,926,366,621,
055,221,356,836,806,854,774,006,973,978,386,574,960,015,939,396,392,652,616,
059,937,105,490,116,955,730,122,336,783,572,850,964,855,464,830,496,992,247,
060,152,417,822,594,171,023,276,685,772,344,789,452,476,971,032,126,269,010,
374,268,315,332,000,498,048,949,437,385,323,698,186,968,390,885,786,689,671,
360,830,547,034,506,005,190,146,229,255,037,299,149,171,014,985,252,212,439,
344,737,454,084,624,060,081,124,584,722,781,487,512,439,377,880,491,682,502,
188,209,332,972,822,486,344,236,623,924,570,520,878,776,162,847,898,125,184,
094,556,811,037,685,516,275,565,928,479,542,438,339,476,781,562,753,840,125,
211,099,291,645,151,342,972,481,576,903,413,055,279,549,604,485,609,426,769,
196,558,603,201,303,505,754,910,042,121,953,842,319,820,472,676,722,962,619,
649,077,394,231,721,824,822,633,710,705,211,079,027,476,173,705,748,665,473,
460,849,073,293,449,365,079,752,511,627,482,530,798,623,946,344,238,266,852,
615,941,158,523,415,782,147,104,141,509,335,878,875,829,868,878,411,376,329,
131,358,717,245,740,245,632,355,898,839,500,897,773,930,815,217,434,601,409,
016,945,522,092,086,203,212,546,579,080,891,637,893,120,348,286,704,427,413,
778,055,368,438,000,950,877,723,959,307,376,466,033,402,984,345,504,661,742,
948,020,364,611,471,873,599,516,456,458,112,556,431,498,349,366,857,219,279,
385,006,892,920,808,283,095,850,159,159,628,081,924,203,994,958,014,277,084,
906,656,342,695,688,839,514,868,747,924,337,125,410,186,227,613,158,874,847,
436,094,591,316,844,091,483,845,556,090,821,392,638,540,384,427,144,206,716,
341,043,557,448,012,147,003,457,454,319,263,860,318,387,489,309,014,566,830,
801,911,561,448,220,154,957,511,417,474,262,407,618,401,382,250,984,619,877,
267,928,660,727,819,127,502,465,046,235,382,325,060,571,539,540,107,455,717,
531,205,890,612,775,294,998,035,789,462,587,843,376,478,525,896,597,714,458,
778,879,254,656,067,624,439,295,048,329,951,628,405,926,057,305,296,167,427,
276,266,398,853,184,913,020,798,639,126,886,569,609,621,902,954,759,549,487,
082,619,331,933,082,484,496,893,564,769,808,217,807,355,081,581,252,250,858,
897,360,615,799,535,559,167,341,861,135,736,397,595,707,397,114,976,465,525,
771,670,680,086,756,770,914,015,557,660,146,014,225,011,876,971,107,968,734,
499,799,781,899,208,689,188,645,670,452,315,212,715,268,032,155,660,712,310,
079,898,768,637,751,340,729,313,914,688,757,280,976,391,937,352,778,487,305,
586,904,559,612,283,669,960,044,412,276,013,030,771,093,567,184,071,504,453,
450,489,090,734,540,712,739,902,612,301,818,249,620,143,567,445,792,741,065,
310,131,337,082,915,550,796,693,446,921,889,074,909,947,941,725,585,333,401,
667,298,060,244,324,757,894,209,589,512,734,465,942,710,324,864,053,144,958,
711,248,926,701,106,931,114,374,081,611,210,541,172,972,881,969,715,455,312,
600,158,663,395,704,733,899,324,635,252,405,227,569,768,881,308,104,202,456,
973,067,709,283,109,855,131,527,000,906,789,970,484,049,854,257,300,744,009,
566,763,738,598,451,702,928,949,488,107,785,999,549,313,281,926,174,064,862,
456,060,874,322,938,757,463,251,960,057,042,673,538,687,153,922,012,550,519,
801,753,216,644,602,435,925,938,170,655,045,466,783,971,557,975,041,197,715,
187,300,089,049,725,666,201,595,111,579,479,883,444,737,647,496,865,154,022,
485,779,369,800,147,818,057,715,396,010,912,882,448,419,789,631,181,161,488,
687,762,235,499,381,073,746,245,403,751,222,770,158,327,747,572,882,330,077,
537,383,902,492,377,354,188,617,656,904,378,615,446,058,436,761,661,383,215,
528,102,012,960,012,155,588,163,507,595,741,284,430,091,439,792,333,740,314,
404,351,057,566,469,573,613,470,189,513,119,845,490,613,468,585,883,550,617,
147,991,082,331,202,729,921,106,489,711,121,599,657,550,786,872,726,851,368,
685,777,196,340,974,708,600,870,562,324,370,388,856,865,563,657,758,319,218,
450,439,463,682,899,619,622,994,313,002,631,795,783,497,738,852,934,575,492,
902,402,521,588,260,619,855,918,273,448,192,352,720,850,342,145,630,883,307,
387,029,984,549,856,512,733,187,739,236,409,372,112,652,176,315,268,453,371,
480,750,042,631,806,545,444,741,394,616,871,125,737,876,012,901,440,602,738,
834,180,723,393,589,275,820,184,986,970,767,038,501,364,063,165,517,191,496,
256,629,788,444,500,108,293,903,705,043,305,399,220,707,880,291,396,068,045,
267,186,636,926,874,531,623,532,629,869,631,509,884,959,833,402,962,118,760,
361,821,029,446,937,913,436,443,560,436,845,347,216,303,304,563,466,953,032,
005,173,545,167,097,346,158,657,189,210,938,322,629,450,755,786,295,191,238,
292,836,387,303,003,023,988,695,374,487,453,052,731,677,135,994,649,536,982,
983,219,813,901,973,240,858,380,797,633,023,121,660,705,828,051,841,978,729,
669,901,216,992,385,754,051,493,010,098,820,553,099,432,548,286,450,562,512,
485,456,542,491,394,514,385,945,596,315,722,060,823,282,830,245,801,054,682,
424,473,906,346,207,602,182,842,931,360,272,147,502,006,207,144,444,955,067,
104,836,240,394,979,109,908,006,824,596,729,581,195,362,884,923,877,560,695,
444,749,379,129,766,059,501,345,166,001,547,217,909,954,210,338,483,952,138,
987,541,904,773,815,198,293,795,441,090,593,257,831,314,559,888,637,072,030,
959,092,079,257,842,731,960,931,033,918,623,408,260,979,779,693,773,249,235,
226,366,969,060,434,933,727,205,147,353,696,281,085,895,953,696,817,414,059,
215,862,742,330,407,753,567,611,753,751,105,689,894,270,802,981,433,279,669,
204,276,052,790,815,222,206,462,859,641,331,739,535,679,458,676,696,064,459,
985,439,171,212,234,160,242,885,259,377,907,046,977,049,250,814,657,512,627,
630,786,542,770,997,127,244,370,628,314,975,017,532,818,242,669,162,304,410,
481,424,542,447,040,467,785,586,075,681,587,459,093,375,471,440,704,231,590,
398,928,090,397,993,975,205,647,887,514,723,324,435,261,751,649,946,374,911,
709,501,383,811,832,569,123,912,797,274,517,917,065,897,048,241,577,440,941,
245,535,858,452,931,659,261,847,268,513,074,283,743,670,925,832,375,593,658,
913,479,146,740,914,372,466,416,090,678,850,941,604,220,699,702,398,377,133,
063,598,134,080,800,705,604,613,686,251,237,256,525,650,964,316,467,296,811,
642,398,068,847,582,786,107,778,719,690,413,795,875,379,651,920,152,252,703,
645,780,716,388,800,087,939,943,326,532,433,817,765,973,199,607,158,537,871,
449,268,433,568,579,854,652,630,369,817,819,507,247,411,234,506,827,922,180,
361,075,454,863,347,243,030,864,827,554,890,325,611,115,273,878,222,420,556,
897,068,160,596,469,936,511,594,674,548,436,969,459,191,236,036,168,370,358,
807,532,883,293,653,667,457,073,032,628,601,584,446,998,050,264,380,054,130,
999,647,651,962,256,341,041,483,993,256,526,439,199,898,255,470,965,392,883,
886,945,063,910,220,464,109,170,385,248,506,427,635,097,915,074,895,570,889,
643,486,443,207,893,477,430,741,557,068,783,621,090,826,224,812,662,299,375,
755,873,556,968,598,844,023,281,795,910,887,943,183,866,392,192,225,861,718,
454,653,391,519,875,373,569,171,701,852,715,809,007,470,427,173,456,778,668,
423,175,468,395,989,806,558,261,771,685,459,586,549,489,480,612,589,075,055,
908,910,013,543,577,871,762,739,909,689,989,270,366,493,596,613,227,431,459,
095,713,081,594,220,584,501,538,366,488,218,087,261,480,366,316,140,763,777,
475,933,154,716,965,701,830,654,370,870,918,866,786,411,698,261,615,640,212,
193,583,573,329,870,788,466,355,003,922,463,174,609,710,416,029,215,028,453,
519,015,685,317,936,481,844,669,612,933,095,903,390,657,486,271,023,237,716,
312,932,321,657,938,023,312,587,590,241,990,218,266,153,030,174,588,110,975,
700,549,140,604,620,009,018,337,254,364,360,619,160,718,559,579,289,708,153,
981,587,001,939,342,098,335,018,946,023,515,822,597,424,614,198,703,919,763,
249,593,736,403,705,084,241,326,791,671,403,522,350,154,467,233,197,127,329,
021,139,141,422,120,228,422,010,505,666,516,353,534,395,819,270,839,231,848,
867,515,979,795,633,510,351,809,787,862,520,094,648,529,422,998,482,222,876,
393,765,825,657,869,603,585,380,396,697,841,595,495,167,236,396,548,925,472,
244,522,173,629,923,594,047,875,150,952,848,780,933,452,745,916,052,142,364,
206,461,637,881,011,659,580,214,146,955,619,966,918,282,928,277,648,559,307,
354,161,507,655,370,573,146,909,619,164,406,765,037,943,387,786,726,108,375,
820,754,105,579,438,325,459,226,733,615,232,008,898,749,861,916,426,159,574,
946,282,007,693,374,148,792,007,134,479,006,886,744,326,353,293,690,388,110,
828,587,220,736,997,562,992,815,980,632,775,467,444,038,836,892,239,560,002,
883,228,537,502,093,529,245,585,033,890,146,810,429,869,745,636,914,894,146,
309,953,103,566,127,424,116,225,026,570,970,680,217,199,406,136,233,763,832,
624,306,593,321,221,860,272,959,366,700,395,222,095,618,253,044,064,074,209,
929,606,422,597,808,803,694,062,741,403,922,203,046,878,925,407,835,277,085,
316,036,510,323,206,521,746,071,742,068,475,616,981,113,114,872,540,631,971,
372,131,840,612,931,214,029,532,632,164,585,263,650,643,214,373,306,536,661,
117,009,423,382,554,332,151,934,329,559,693,412,258,769,559,165,427,898,934,
270,795,195,732,912,075,379,885,705,147,214,492,060,970,860,039,959,194,462,
253,515,120,846,664,462,971,064,018,565,124,494,326,826,571,219,579,194,467,
415,145,771,031,431,135,292,030,900,094,384,178,386,217,053,296,755,713,590,
283,667,280,200,016,589,860,932,445,608,923,766,820,201,187,252,810,717,625,
939,000,882,922,936,771,969,214,597,831,815,858,169,117,007,038,985,595,150,
876,198,998,886,345,424,166,130,027,779,195,807,672,695,958,601,279,681,001,
905,591,145,398,721,062,427,140,271,066,545,546,086,055,777,681,680,649,744,
985,329,171,232,771,980,586,450,685,927,899,159,683,877,697,202,219,622,604,
681,738,496,306,335,570,015,159,740,123,292,540,526,829,640,495,521,821,767,
750,487,359,557,571,716,352,902,426,225,136,710,765,792,069,047,190,685,741,
090,146,102,494,858,333,747,878,299,760,946,229,932,486,853,799,786,771,902,
718,628,321,634,884,937,646,603,947,940,444,097,854,999,679,959,831,347,654,
959,592,356,074,052,786,315,515,024,178,818,972,555,635,734,258,507,000,434,
904,625,144,014,382,467,785,163,276,199,521,799,481,008,401,710,465,024,189,
754,047,238,850,017,812,672,089,341,252,910,697,686,320,599,527,732,487,248,
567,256,104,163,025,607,495,586,658,734,011,112,120,255,583,730,034,600,791,
641,338,038,375,074,571,814,123,934,919,216,258,329,493,667,884,153,306,638,
256,221,026,258,048,508,766,374,937,250,932,163,353,966,620,936,085,265,434,
989,673,557,286,522,280,146,495,466,691,694,991,097,138,103,562,710,513,897,
074,427,500,761,154,237,703,814,986,080,508,176,182,170,513,776,871,223,392,
578,687,694,927,185,338,242,081,559,238,729,279,373,341,675,943,062,575,144,
084,429,351,949,378,057,579,639,539,008,573,748,197,268,549,042,434,007,918,
866,037,452,295,956,136,527,510,500,602,202,855,099,043,529,232,626,588,170,
003,677,388,691,972,664,267,299,165,320,804,463,647,212,218,030,336,330,090,
947,267,368,040,021,619,165,477,904,402,977,888,219,654,347,248,488,337,249,
764,150,217,371,701,601,321,428,979,496,458,718,581,614,739,711,344,942,801,
544,383,263,150,493,677,317,914,209,625,683,777,554,986,706,846,915,565,854,
962,590,642,785,567,595,650,714,945,185,564,709,067,059,492,238,032,183,986,
438,860,306,250,485,219,691,145,961,928,681,701,333,089,880,262,440,786,595,
672,334,796,377,359,821,556,012,880,392,404,897,907,345,056,589,765,940,712,
353,506,642,708,284,235,199,713,363,682,626,336,576,660,431,596,372,934,399,
193,582,613,869,496,347,002,477,382,370,701,531,305,874,667,904,336,248,917,
878,306,189,212,969,156,828,563,068,059,386,531,167,292,219,199,684,903,124,
856,623,591,312,582,101,333,105,131,555,122,258,793,701,812,645,087,905,710,
425,968,222,583,220,447,936,684,847,033,341,943,301,768,712,561,260,809,119,
776,482,073,424,987,390,317,865,034,894,218,016,572,137,421,279,987,692,865,
085,855,446,767,214,342,254,713,161,048,869,736,702,497,258,894,822,580,304,
356,928,385,831,438,684,299,329,287,354,598,486,475,821,605,973,976,857,775,
931,674,924,806,317,186,532,253,593,740,314,760,551,051,133,228,683,940,588,
236,050,918,203,184,665,180,398,469,986,895,510,216,229,673,772,004,205,041,
774,489,337,676,491,698,627,484,787,642,303,072,498,368,017,232,563,982,013,
830,675,728,020,772,231,007,788,126,299,401,572,341,666,988,065,016,058,641,
898,171,886,797,346,030,180,574,405,688,698,364,967,476,249,586,429,226,522,
330,318,055,280,511,905,058,863,845,787,498,476,036,336,503,765,251,008,059,
653,750,602,631,559,970,567,523,450,930,916,836,842,559,610,030,716,607,043,
306,718,182,758,607,658,067,448,181,468,178,516,196,880,239,554,660,947,477,
375,938,428,479,833,492,001,954,945,641,235,886,255,853,397,429,738,465,404,
997,391,981,882,980,591,821,530,439,779,282,906,172,845,802,307,552,701,930,
689,573,856,578,570,326,579,672,874,729,129,232,448,581,023,820,953,523,487,
092,559,590,354,411,596,837,141,552,398,144,025,767,597,510,894,873,478,914,
841,827,835,613,590,590,815,256,570,776,167,764,735,498,862,053,987,741,634,
266,268,793,904,200,166,946,309,548,602,890,487,843,548,480,145,156,008,556,
217,409,901,220,239,278,381,697,902,154,711,740,901,800,413,778,719,936,318,
905,733,635,858,809,551,629,660,303,843,488,887,594,353,768,231,700,388,695,
082,538,492,818,130,169,561,396,761,124,657,703,969,523,594,750,896,728,234,
327,579,568,390,825,194,306,311,704,185,454,910,751,225,233,954,437,872,985,
700,596,220,662,750,749,107,476,266,047,706,146,252,054,492,075,361,847,451,
490,144,355,749,992,484,078,927,902,916,890,344,438,604,870,013,687,897,928,
206,182,711,758,675,892,791,895,822,217,358,440,676,108,482,908,600,916,046,
000,843,909,687,126,721,845,030,614,249,181,440,735,431,900,779,152,271,811,
620,058,865,280,738,143,240,149,283,853,508,722,135,722,545,118,877,010,727,
794,337,661,845,466,758,443,006,140,871,361,343,706,591,858,556,121,984,557,
686,467,795,831,489,723,226,083,614,842,037,393,200,425,414,748,084,969,619,
501,283,625,490,204,682,943,504,921,898,013,052,552,367,233,000,222,677,608,
815,266,215,630,272,462,877,265,941,490,022,803,660,936,933,152,905,133,926,
865,739,959,048,764,921,275,533,346,950,237,602,692,321,940,660,613,246,706,
971,451,673,189,325,838,955,986,370,460,531,299,799,103,258,126,333,198,477,
924,003,985,475,212,154,926,175,049,704,171,531,178,763,488,807,525,463,121,
057,743,142,109,093,680,446,777,017,744,779,435,260,345,191,250,487,705,092,
633,587,437,425,185,979,736,740,127,037,691,591,801,992,440,686,205,494,849,
625,517,889,881,321,572,937,397,254,257,210,703,745,702,869,448,362,964,029,
071,513,798,174,173,066,112,158,872,319,671,399,570,688,294,982,448,128,436,
444,321,956,563,213,898,830,416,875,640,859,226,775,082,059,610,761,758,959,
360,835,061,001,742,641,429,312,844,963,779,328,985,767,569,610,365,128,573,
697,533,366,559,866,376,445,204,520,134,720,917,816,024,186,831,483,249,551,
467,813,918,357,158,119,795,197,168,943,394,091,502,331,313,573,170,531,440,
045,277,193,850,585,320,368,120,626,324,644,547,134,537,118,958,861,054,036,
284,503,350,511,063,512,777,472,229,098,471,505,405,314,775,613,119,821,131,
783,570,169,042,265,531,553,635,107,803,802,192,458,689,213,673,235,367,293,
722,229,025,215,104,976,364,033,872,453,071,256,019,107,255,031,765,701,046,
221,474,737,764,256,631,529,254,476,243,480,701,952,232,808,177,161,067,912,
120,435,797,737,111,509,321,673,855,626,686,320,991,534,200,515,327,961,466,
730,285,281,063,459,330,714,671,647,003,536,448,372,961,653,654,641,816,428,
533,027,017,540,423,855,766,430,392,369,354,395,437,864,650,756,112,199,282,
557,071,499,656,056,137,357,098,268,996,252,516,005,974,317,396,801,012,877,
218,173,332,914,677,502,850,430,983,433,899,121,718,657,346,819,902,400,082,
581,175,980,104,485,709,687,538,648,271,696,506,271,939,960,299,741,038,867,
651,249,086,899,681,627,806,779,237,214,975,224,403,261,745,670,358,362,054,
481,465,019,803,221,033,129,313,157,568,489,164,210,341,515,536,755,996,871,
318,615,102,784,337,203,098,339,770,508,612,844,359,372,527,699,307,933,066,
941,574,141,918,970,211,661,772,569,833,384,651,133,386,877,786,423,207,758,
337,256,144,847,720,676,144,243,365,699,469,441,977,448,837,637,265,990,288,
992,280,533,602,877,695,377,288,997,913,462,293,161,245,932,127,670,765,686,
592,711,808,615,246,866,277,953,403,381,690,184,234,133,104,283,967,935,267,
882,097,049,606,862,197,474,550,680,410,577,702,494,135,968,389,175,094,434,
756,197,951,757,574,908,733,062,728,935,271,672,251,963,049,033,713,496,628,
070,593,989,538,252,690,661,971,962,035,724,530,671,342,065,354,931,770,396,
875,323,188,412,467,468,797,408,281,689,050,983,969,478,075,030,474,983,278,
872,795,849,105,898,538,555,819,910,564,294,721,498,694,050,876,709,260,056,
050,339,073,333,013,377,704,389,593,565,689,863,155,867,501,706,000,688,903,
505,570,939,862,232,187,094,586,863,409,806,949,591,384,891,803,740,795,698,
453,569,465,741,569,129,988,783,528,978,738,733,298,974,544,381,774,756,259,
055,456,037,616,254,008,874,178,628,659,990,757,206,121,400,082,479,725,886,
123,800,357,015,843,558,455,719,626,879,678,094,432,225,670,032,658,359,237,
673,664,915,961,123,426,657,147,895,240,427,278,556,678,351,822,447,454,347,
834,157,601,734,087,640,397,254,730,807,844,365,925,866,003,575,461,906,680,
289,448,120,645,670,801,258,767,506,345,988,736,064,210,619,004,196,613,533,
049,582,589,727,454,758,294,027,127,154,320,608,348,037,330,495,577,506,948,
009,011,442,897,928,625,897,180,828,561,094,227,391,024,309,134,938,132,725,
870,666,676,222,532,781,337,033,109,504,938,686,964,822,912,078,053,731,660,
986,896,711,656,416,863,036,937,315,508,545,816,590,793,010,764,096,460,636,
486,538,272,484,149,717,487,268,979,776,201,448,968,104,031,073,942,129,233,
842,193,929,790,344,990,470,029,980,434,832,589,011,845,433,553,180,981,883,
823,543,924,735,883,787,122,551,344,242,359,598,389,807,594,793,793,515,927,
806,576,958,590,032,979,191,581,190,166,854,095,540,342,872,264,051,015,823,
783,063,237,704,454,045,121,448,498,802,119,692,207,210,792,390,909,647,412,
488,105,042,701,187,397,996,112,626,022,781,656,360,930,582,689,075,259,958,
645,386,100,022,926,718,239,881,277,032,934,456,717,899,784,998,243,155,946,
973,669,280,879,893,936,720,255,186,704,511,901,089,804,262,826,915,385,637,
343,432,524,275,865,139,933,262,905,618,406,703,181,817,928,280,706,678,852,
974,140,587,666,453,658,451,355,727,752,879,040,842,027,816,743,576,485,355,
117,260,389,491,740,226,072,480,072,738,929,675,957,474,129,529,696,949,810,
651,678,860,554,286,720,104,618,595,956,497,929,383,905,010,704,351,307,592,
747,464,274,303,404,705,314,674,706,687,055,852,488,500,243,412,986,531,556,
775,708,693,178,648,205,197,412,547,426,847,657,150,644,379,609,286,588,173,
555,329,165,986,005,480,425,086,636,883,329,896,568,747,257,829,585,444,025,
490,026,053,138,077,822,431,230,713,551,314,212,595,737,174,257,207,959,732,
642,058,291,913,500,516,441,254,375,075,490,944,885,302,845,465,959,774,024,
281,072,526,987,441,987,209,835,808,042,813,762,130,881,828,116,246,231,128,
436,508,650,830,329,113,704,986,435,756,408,671,218,936,412,836,853,323,752,
697,357,165,510,458,319,831,716,787,997,226,074,945,717,730,604,936,245,066,
621,446,099,997,445,379,171,274,013,899,160,582,455,589,111,240,599,482,505,
821,804,940,632,192,426,677,242,477,498,543,514,724,265,534,462,992,996,919,
359,461,411,706,740,013,532,162,755,754,058,696,037,596,073,567,977,507,246,
235,703,510,284,553,570,517,989,631,161,404,796,732,920,720,333,918,945,598,
295,962,686,449,054,639,306,400,391,538,184,012,204,876,531,646,738,621,722,
868,055,865,653,454,058,357,387,458,343,672,794,301,985,091,124,673,726,246,
592,713,913,820,152,888,885,391,474,880,479,628,622,863,275,423,447,436,988,
943,654,989,184,765,390,277,908,619,990,980,283,138,898,821,221,259,366,864,
848,514,006,716,844,317,121,830,380,060,836,229,067,339,563,370,741,680,049,
972,524,641,629,635,120,087,623,355,471,196,275,970,124,557,299,318,006,382,
768,024,154,228,107,444,066,619,599,390,951,617,554,024,135,556,715,543,951,
125,039,097,195,776,650,735,899,466,295,357,940,267,312,470,242,680,054,534,
721,139,076,675,025,525,750,756,802,671,469,907,481,240,215,994,103,928,445,
955,121,985,978,011,529,608,844,097,967,274,579,884,549,532,780,219,476,885,
286,124,188,356,350,416,894,564,269,250,978,643,265,940,439,370,909,998,825,
204,959,368,432,139,403,398,488,798,429,362,787,144,393,931,212,055,265,703,
979,810,716,865,639,858,228,753,116,700,136,206,557,650,980,161,600,777,580,
365,618,924,709,359,348,407,158,846,388,797,911,875,949,441,764,444,755,280,
134,511,639,531,158,166,321,876,355,965,877,449,972,399,664,614,949,347,437,
150,085,519,330,344,587,396,928,206,740,571,507,596,833,806,399,373,501,845,
642,191,712,101,275,193,080,287,267,140,977,146,728,521,578,702,197,416,682,
155,118,367,976,680,580,807,747,226,429,512,786,045,868,787,790,856,555,757,
723,444,418,774,281,679,778,168,069,251,729,878,337,028,311,308,189,321,529,
550,378,069,317,031,766,486,347,485,559,347,584,956,140,106,703,980,265,074,
944,702,066,579,489,648,178,722,158,067,181,105,847,602,181,473,378,587,411,
388,557,265,106,021,479,837,452,692,507,241,819,324,796,256,241,991,540,498,
524,234,627,503,436,408,341,192,982,772,622,302,807,165,610,389,120,006,296,
654,410,639,626,479,185,851,316,917,550,029,819,578,880,245,691,475,297,045,
903,416,481,263,013,834,598,202,132,294,145,494,010,678,912,927,549,887,834,
611,145,067,338,331,684,920,370,654,093,611,558,593,221,380,439,584,815,363,
015,619,129,864,517,925,936,959,676,820,233,563,392,601,101,060,796,188,173,
404,720,873,175,665,610,323,959,704,528,331,122,618,102,327,521,514,059,656,
193,503,094,334,462,618,748,701,619,540,641,568,650,335,632,612,209,866,331,
869,552,253,792,739,004,347,345,580,574,241,696,481,969,932,242,720,594,906,
779,650,290,242,934,265,590,932,027,709,971,458,814,621,276,539,146,185,641,
517,398,626,928,311,538,861,261,457,108,082,991,991,879,670,805,003,866,278,
047,415,635,750,648,938,964,585,763,278,296,139,935,570,650,539,854,754,901,
195,896,297,813,568,538,763,166,097,900,020,617,069,044,925,812,678,238,328,
371,834,089,344,457,245,348,192,837,409,255,634,353,270,913,397,874,347,474,
225,241,408,586,373,246,903,719,416,770,164,715,410,358,614,094,843,040,685,
222,997,936,954,629,874,114,355,616,644,112,462,998,744,335,636,349,238,280,
238,940,068,573,235,525,523,628,781,001,136,632,557,131,753,308,469,188,954,
548,395,000,445,780,936,480,801,502,667,303,890,838,563,831,712,997,270,862,
029,760,555,738,498,780,467,570,820,162,775,773,768,696,781,977,009,029,345,
227,748,846,926,850,848,753,730,014,911,780,578,775,482,321,684,254,051,533,
935,549,393,952,166,852,246,697,197,532,031,159,444,796,512,419,093,312,428,
511,921,786,817,613,950,011,425,744,011,699,534,031,359,545,895,327,102,451,
326,021,294,671,900,215,599,514,188,082,876,502,343,234,858,906,863,262,652,
521,748,301,306,004,685,922,197,722,750,453,618,543,169,029,650,343,398,973,
485,687,572,796,886,717,364,622,104,898,651,347,681,776,730,056,523,543,824,
491,788,078,287,158,647,590,496,750,335,508,219,629,871,952,423,318,406,871,
873,845,446,367,350,163,057,914,593,795,763,503,279,740,843,089,958,496,193,
315,122,478,881,178,206,463,434,382,284,025,422,589,604,543,184,876,325,688,
436,613,100,886,433,640,427,601,397,680,881,684,607,468,526,121,636,307,120,
971,864,692,420,977,936,205,556,190,866,362,319,422,918,234,288,270,610,911,
278,079,083,106,548,828,415,702,785,084,629,398,576,554,582,279,446,309,821,
142,719,682,247,593,418,248,735,991,861,835,671,036,110,054,970,424,446,781,
073,192,864,809,647,112,760,745,329,106,418,176,010,745,272,696,671,269,957,
426,344,296,531,318,488,132,827,671,493,407,052,054,284,111,241,384,133,706,
780,837,120,700,935,198,296,766,085,907,603,803,640,404,828,127,346,876,482,
860,895,760,821,284,169,272,979,040,538,207,037,697,002,626,276,548,760,371,
387,531,424,137,767,746,701,359,693,679,843,821,664,447,158,033,985,847,946,
409,670,535,442,117,238,013,981,710,034,945,903,480,162,699,563,456,405,829,
198,453,491,299,561,087,206,289,875,340,842,293,747,595,893,906,176,727,732,
973,126,070,577,409,807,075,525,771,275,048,724,323,043,821,028,864,543,282,
790,751,398,978,303,070,262,053,052,415,540,400,879,002,558,070,414,209,311,
261,487,119,768,906,380,774,046,195,575,821,779,099,032,921,070,801,410,350,
280,207,456,296,269,090,171,720,713,562,891,116,709,083,694,868,086,988,224,
149,886,563,593,359,881,347,637,262,480,208,972,433,873,424,256,000,306,635,
774,455,109,073,463,040,458,147,838,493,548,423,521,496,822,760,833,460,018,
664,220,991,209,367,939,028,295,196,396,437,259,206,079,548,549,844,774,408,
260,457,387,006,809,609,690,641,719,135,018,920,225,087,089,440,050,183,582,
044,960,169,916,044,877,609,264,637,872,632,164,351,480,104,709,155,660,654,
877,951,912,768,527,341,276,487,139,248,720,052,890,710,257,902,999,886,444,
067,302,855,191,916,159,490,607,911,156,065,657,645,823,656,971,852,730,854,
387,573,479,276,985,834,301,436,375,093,448,837,766,906,371,285,973,322,989,
306,339,173,287,334,802,073,618,519,186,733,664,914,148,987,564,118,513,982,
539,569,864,220,877,805,062,174,589,809,557,125,396,379,809,460,445,526,954,
898,969,704,380,889,829,328,020,286,141,022,857,671,078,477,411,314,278,698,
727,140,839,540,060,695,989,683,386,424,441,439,683,394,952,874,554,964,060,
551,613,999,171,069,976,842,396,847,406,024,845,295,099,605,810,986,870,271,
384,075,981,387,986,781,708,306,397,520,088,123,258,121,548,806,401,040,681,
231,784,844,075,560,037,006,828,574,375,220,500,425,152,599,829,018,509,057,
356,469,578,080,653,550,445,487,668,641,737,474,532,061,755,865,575,418,628,
203,775,831,802,663,319,833,395,700,274,395,251,252,788,447,554,698,716,439,
654,338,059,396,147,899,657,680,869,642,696,025,195,946,606,980,842,295,164,
054,535,746,698,693,852,158,766,369,492,358,070,855,607,885,236,709,059,441,
300,673,446,707,976,538,031,856,170,252,124,468,137,816,730,367,880,959,401,
573,781,690,394,417,225,453,692,397,110,887,140,364,026,965,804,207,411,441,
967,097,175,217,084,306,840,771,667,912,441,433,829,445,459,151,334,289,564,
411,099,154,844,421,053,117,641,141,300,340,894,333,567,510,129,710,557,299,
699,857,346,972,301,865,660,341,560,972,883,507,032,369,722,239,686,975,854,
657,027,327,441,249,540,874,498,791,827,987,229,685,536,759,626,253,956,064,
594,198,792,342,066,516,650,287,293,656,933,718,073,038,000,858,892,248,088,
976,001,706,273,053,624,110,309,126,385,104,364,969,009,315,885,651,329,815,
628,507,259,159,174,602,887,089,456,933,823,419,584,279,876,221,926,434,514,
687,040,224,694,278,630,740,281,590,901,794,996,297,924,582,320,591,907,074,
643,787,506,306,099,969,598,991,319,247,875,140,060,564,439,184,275,728,586,
355,958,973,949,353,533,041,061,787,194,604,614,601,514,372,144,834,192,367,
196,070,535,842,300,790,793,032,843,610,732,347,771,230,989,034,310,425,418,
321,072,982,602,050,015,467,318,253,899,645,487,659,089,570,065,336,620,760,
931,808,160,173,708,878,972,468,668,539,427,328,720,794,115,931,630,498,758,
221,151,193,482,790,501,720,037,321,471,377,275,188,226,312,127,299,270,282,
067,527,228,808,801,898,583,034,135,079,759,234,033,838,780,953,785,306,433,
611,830,927,212,093,408,143,878,373,124,771,014,369,667,282,700,973,093,740,
172,378,313,842,939,659,393,731,708,698,677,229,498,601,718,383,610,616,884,
879,653,277,688,212,284,875,803,219,709,248,780,305,349,153,586,247,299,933,
382,742,466,942,735,400,295,960,635,538,060,241,574,558,354,558,213,570,025,
394,255,696,776,704,587,760,263,040,964,890,983,594,597,495,099,007,631,277,
574,285,525,150,352,580,236,093,230,248,899,256,334,667,614,304,456,096,400,
378,342,542,519,595,904,538,544,415,525,330,121,605,374,627,802,047,498,224,
242,769,068,381,387,545,313,650,080,173,704,243,403,898,732,988,259,052,288,
554,653,437,117,200,076,709,607,321,652,755,510,305,140,510,335,772,190,244,
995,731,935,158,321,616,321,473,595,629,612,009,144,909,957,024,712,802,850,
477,234,472,059,406,392,196,343,924,481,988,390,990,230,229,896,120,336,523,
219,236,389,989,340,233,017,664,575,082,902,495,469,306,401,186,178,432,390,
179,733,908,609,570,774,470,517,568,095,207,537,311,835,498,423,337,960,238,
661,156,907,720,876,564,615,331,567,556,343,607,108,193,216,721,879,890,459,
812,634,573,756,655,776,541,638,665,052,279,749,176,306,460,041,350,276,283,
572,252,348,106,434,723,641,513,588,978,954,001,548,355,582,683,239,131,485,
884,905,063,074,494,310,082,373,599,267,431,405,449,992,864,413,758,587,081,
359,023,193,521,155,404,004,514,451,442,792,654,271,278,075,669,339,139,007,
400,677,266,283,688,504,196,040,637,018,088,455,486,860,065,245,154,517,642,
450,958,417,243,737,193,895,927,338,612,088,868,950,797,474,482,522,773,751,
476,221,703,662,534,346,861,742,756,287,735,109,725,782,806,430,971,543,697,
735,605,263,625,151,751,333,067,189,949,864,205,571,249,714,691,336,088,770,
891,724,497,434,120,824,324,673,079,419,525,567,394,919,325,005,748,056,162,
758,308,279,099,334,973,966,396,371,816,143,489,252,357,762,772,276,267,713,
823,314,259,949,077,594,583,693,928,590,702,444,110,483,120,235,202,480,295,
227,916,692,270,350,291,512,701,367,369,966,636,115,854,638,192,536,968,898,
589,815,363,927,156,427,291,864,788,047,681,801,488,941,942,777,203,823,330,
656,509,984,449,375,366,436,025,486,648,310,687,994,791,975,420,525,368,131,
090,645,723,961,719,401,471,944,057,575,101,977,552,070,488,431,903,168,814,
689,364,181,038,163,402,856,956,667,075,048,754,960,151,886,903,183,120,040,
285,211,916,056,015,703,859,547,634,219,873,780,683,568,478,764,495,833,713,
154,263,120,461,562,352,192,042,946,371,173,121,838,399,876,053,845,481,696,
538,038,498,684,331,098,898,401,225,566,586,536,889,643,483,458,245,915,580,
912,429,266,938,321,044,655,975,782,173,500,396,181,933,449,069,978,247,861,
547,261,096,673,500,594,396,593,565,293,816,160,615,935,145,130,918,529,269,
927,454,456,791,103,922,135,585,707,546,051,960,522,343,453,211,890,574,655,
576,443,307,781,932,958,345,613,059,068,164,009,347,799,268,000,620,189,510,
409,204,287,566,382,948,277,569,829,740,100,442,778,426,367,900,046,211,317,
693,212,235,823,153,129,192,356,659,283,316,706,997,203,141,227,874,029,065,
972,504,956,196,639,327,527,165,271,565,714,824,363,175,749,947,248,959,719,
058,638,509,959,280,321,846,885,163,067,492,173,007,994,265,293,579,183,063,
866,516,831,263,579,127,299,622,243,601,197,943,363,018,017,757,218,499,953,
228,779,221,957,856,946,139,393,683,763,228,849,066,844,169,396,798,865,945,
808,278,868,879,329,868,351,986,324,321,980,210,385,252,168,480,056,500,883,
438,719,754,908,973,813,496,810,556,235,827,262,986,720,537,764,298,277,923,
503,031,903,739,250,028,099,440,557,675,696,258,052,825,789,213,243,667,183,
454,337,332,045,136,137,451,871,288,932,710,655,898,436,756,832,017,345,250,
572,354,057,939,518,534,876,441,380,526,616,974,118,580,485,703,100,411,453,
908,342,084,401,813,036,949,585,816,543,868,380,565,389,374,147,711,780,883,
435,031,926,660,310,051,587,304,499,663,633,033,758,739,783,953,093,433,086,
328,067,626,512,082,360,518,481,592,762,997,567,979,383,251,469,747,891,499,
762,657,940,294,674,885,739,795,097,663,670,348,082,617,134,758,474,334,533,
867,221,457,999,054,306,986,430,270,435,206,365,373,554,935,089,720,695,255,
613,428,267,903,644,433,596,774,534,628,075,838,132,585,941,375,464,966,521,
878,173,739,819,807,518,246,393,993,868,159,050,786,113,738,483,160,290,997,
039,556,474,949,234,173,474,221,704,680,355,882,008,263,101,252,124,972,058,
828,280,474,893,503,837,217,182,561,820,031,980,199,507,760,024,849,893,625,
932,079,123,259,789,626,295,675,444,246,767,955,024,139,365,790,765,648,383,
031,900,771,155,474,017,276,792,206,206,824,438,217,227,152,651,124,800,601,
172,583,770,293,969,593,904,006,318,176,002,830,675,125,911,781,318,110,938,
027,382,117,926,329,652,413,204,128,904,909,279,551,942,089,840,487,298,157,
433,382,153,225,886,253,989,557,625,900,949,538,296,267,852,992,125,051,883,
439,895,627,315,888,838,176,908,003,032,124,223,703,946,923,123,809,279,285,
473,403,999,119,932,855,494,913,468,806,498,787,370,399,543,510,512,112,111,
800,867,304,520,197,348,079,861,801,956,314,039,647,268,118,489,753,402,282,
484,312,887,309,192,848,899,941,273,610,984,367,185,041,776,590,884,770,537,
886,187,422,350,102,843,012,796,502,536,272,324,847,392,746,465,367,355,665,
565,125,080,198,976,710,381,367,808,215,651,126,228,925,032,249,100,531,520,
695,245,077,798,238,986,241,915,587,868,968,886,296,067,966,847,823,419,539,
410,214,553,167,564,908,538,741,570,492,691,302,068,904,143,136,191,580,001,
649,191,205,122,091,814,457,387,713,596,553,147,546,102,632,458,738,568,010,
339,220,770,909,076,837,847,256,044,937,081,819,605,954,621,523,378,613,202,
607,504,009,076,268,412,786,255,491,559,360,956,285,965,456,331,759,271,977,
629,057,817,148,194,878,843,912,276,387,672,611,163,957,656,328,616,462,639,
677,100,788,340,299,096,921,015,217,761,440,256,402,174,251,410,785,518,163,
073,179,509,415,148,980,319,315,617,253,530,196,110,466,079,707,087,358,381,
889,142,234,837,391,653,159,713,493,351,164,849,950,229,823,674,994,233,973,
649,574,390,026,697,668,118,376,980,883,369,485,483,200,655,571,689,506,296,
125,568,527,593,504,667,485,044,094,425,497,704,621,073,516,951,715,839,390,
220,580,422,844,568,156,018,282,035,052,686,799,823,993,794,146,927,653,728,
272,169,849,713,485,333,720,431,603,864,695,941,607,151,705,745,530,870,002,
940,777,456,473,283,466,484,963,992,197,488,843,538,975,057,242,166,647,135,
457,580,893,626,815,984,509,018,059,730,091,726,096,106,077,664,986,737,790,
282,106,061,089,892,373,231,948,499,053,527,769,037,424,792,488,970,236,493,
309,939,327,291,881,218,189,883,959,216,988,634,610,341,767,322,275,156,864,
181,684,205,546,597,946,988,174,675,967,865,089,306,176,208,373,458,403,890,
490,464,005,913,538,504,177,377,110,402,461,437,942,969,482,536,824,741,646,
841,287,156,776,111,661,264,910,931,869,760,909,666,113,842,245,364,750,322,
573,160,284,798,257,170,677,153,860,521,933,716,312,034,999,732,314,262,584,
867,744,590,822,630,347,906,881,765,065,533,815,031,076,399,805,211,806,135,
039,853,698,939,108,677,921,796,215,308,623,014,918,877,802,300,076,913,986,
628,046,327,767,492,017,697,042,416,001,990,046,140,362,853,506,648,038,147,
491,316,665,155,741,504,349,893,024,446,684,178,035,166,161,818,333,996,250,
445,847,196,157,972,594,891,071,037,647,899,184,755,861,161,190,853,419,219,
365,154,288,470,562,944,151,921,199,823,479,095,285,249,099,030,398,183,121,
130,524,616,049,072,862,458,450,712,503,202,457,151,583,751,908,086,361,151,
544,104,719,788,444,065,850,977,647,870,154,150,312,861,687,868,159,838,071,
096,441,378,992,542,770,673,371,362,032,744,794,007,898,061,700,847,392,959,
632,314,006,244,577,441,940,230,038,142,087,219,209,831,528,173,839,131,237,
417,494,131,459,569,706,609,486,074,223,367,484,955,156,653,267,841,439,650,
906,905,254,943,668,281,426,934,051,790,075,096,171,842,890,513,573,038,113,
983,056,175,923,138,424,636,470,624,165,150,106,989,272,694,665,837,733,306,
458,194,970,637,123,928,648,031,980,201,007,522,155,421,821,573,764,099,029,
102,558,596,468,879,357,829,671,955,997,494,065,234,430,667,627,361,318,393,
067,870,840,032,676,704,634,865,308,184,899,886,512,259,317,857,103,447,606,
389,678,823,730,679,606,500,128,969,549,935,824,252,907,804,402,457,127,435,
905,589,992,392,064,766,732,132,602,589,584,365,823,525,939,404,324,577,664,
252,531,422,658,102,025,887,808,221,854,317,986,300,328,932,440,871,959,997,
305,643,449,909,104,423,223,859,816,203,980,667,909,411,688,543,852,018,226,
799,396,451,914,459,231,397,425,123,230,391,749,960,864,833,374,602,299,695,
708,131,521,633,390,612,519,140,933,334,991,653,897,262,161,410,146,633,056,
626,726,907,284,512,368,688,823,364,025,315,201,714,617,417,444,600,398,401,
587,537,483,748,249,160,550,149,008,867,097,379,353,853,413,472,318,802,995,
638,624,915,670,409,234,161,430,086,951,076,319,984,202,933,154,400,565,926,
272,959,345,848,687,161,874,243,180,293,536,841,426,039,564,917,277,728,806,
442,657,054,577,256,837,702,245,136,066,025,707,643,251,159,621,107,878,040,
694,636,868,787,186,720,708,578,367,020,205,483,367,075,538,506,725,732,555,
120,568,071,976,068,420,875,236,454,373,674,257,278,302,525,445,906,792,339,
145,521,630,677,715,683,789,722,517,133,346,892,882,559,204,751,089,371,853,
154,141,663,332,520,993,050,798,736,964,764,756,005,349,499,664,907,949,600,
105,684,908,958,678,029,384,596,195,768,681,751,518,179,236,861,675,742,756,
495,080,473,496,116,347,961,293,297,678,972,202,861,443,977,320,877,430,959,
029,287,703,395,597,928,516,923,034,637,061,886,129,525,125,401,122,889,328,
622,290,355,595,759,502,777,394,522,593,201,126,326,324,648,147,962,783,076,
428,149,212,117,226,212,713,587,549,807,293,673,621,161,559,928,226,025,645,
250,233,843,130,057,416,926,888,701,792,546,964,553,375,513,715,655,066,771,
279,438,562,215,854,519,626,611,534,791,535,468,245,729,610,033,889,991,247,
027,320,601,742,459,493,945,344,044,386,396,192,433,537,284,739,974,339,457,
903,908,073,500,275,046,315,994,945,848,085,614,081,726,480,909,247,173,694,
540,093,148,779,242,445,317,476,255,860,153,359,906,777,605,390,133,055,543,
145,781,458,069,561,950,090,132,897,138,089,426,655,603,733,286,317,626,810,
941,640,228,368,171,848,602,857,548,923,768,694,233,190,522,101,517,734,148,
824,833,770,337,125,672,664,230,419,344,597,877,164,173,235,614,876,627,078,
342,680,163,128,732,934,821,728,206,797,085,386,525,664,182,839,234,961,565,
868,734,393,312,574,122,085,073,349,330,223,752,103,897,526,440,792,098,293,
204,118,020,949,535,884,895,197,982,235,132,899,469,502,311,249,557,939,148,
505,468,352,637,423,099,516,718,316,846,014,693,052,194,672,400,512,160,135,
954,121,915,398,307,796,965,081,376,715,714,518,336,269,123,560,663,854,376,
288,346,522,749,999,553,451,102,808,542,667,633,879,913,212,413,244,850,957,
584,973,194,801,204,336,526,000,498,406,256,228,674,530,484,402,101,930,421,
445,751,832,407,381,446,775,933,865,158,423,969,087,782,549,665,817,192,473,
100,067,673,012,313,236,257,437,403,987,560,564,708,911,490,208,064,075,095,
697,509,379,197,244,717,794,751,571,269,255,443,185,569,410,306,921,275,736,
410,661,978,389,608,915,224,198,510,913,571,790,752,385,097,820,734,529,278,
780,207,020,936,895,979,249,919,227,757,578,956,345,456,306,284,904,914,884,
975,919,131,516,492,935,725,979,333,360,903,094,561,920,240,629,054,840,629,
490,931,129,657,252,345,431,609,146,425,695,546,937,330,681,726,690,736,903,
046,396,390,976,666,102,172,535,095,098,439,851,910,263,257,729,133,900,515,
911,584,955,048,177,632,845,629,067,254,166,434,428,465,570,676,074,160,873,
541,085,540,208,126,768,248,216,312,846,562,922,264,477,511,706,486,120,176,
053,218,346,270,492,741,928,212,618,096,516,200,039,100,067,664,980,429,263,
529,854,119,990,692,502,692,771,180,581,800,825,651,459,480,177,672,445,660,
069,182,925,366,405,542,233,129,906,191,823,265,135,187,949,833,674,794,590,
376,360,204,604,946,188,734,122,327,998,518,630,765,468,044,717,354,140,932,
794,353,427,211,549,924,754,678,979,210,976,315,384,385,896,512,049,021,119,
379,735,158,639,742,103,036,847,835,458,886,815,767,314,029,880,469,577,569,
996,155,894,688,598,110,973,473,446,285,737,562,134,653,316,456,037,661,808,
822,396,961,738,409,473,244,998,096,760,883,744,632,651,200,030,173,073,371,
267,671,438,611,799,969,793,816,934,735,417,281,015,205,766,593,822,417,835,
705,530,460,598,479,848,609,693,351,095,491,957,004,291,436,875,574,928,095,
052,078,411,723,995,873,266,335,561,457,054,958,814,431,998,088,344,259,568,
186,962,212,922,951,090,147,444,854,735,950,469,682,502,314,587,847,696,925,
822,599,721,276,241,000,518,000,623,867,372,426,480,463,633,690,917,814,093,
436,153,988,404,903,201,933,520,996,562,760,137,051,986,171,501,319,664,938,
015,651,995,609,080,299,812,921,886,914,552,023,145,106,917,773,278,317,891,
084,803,437,734,387,023,559,803,626,862,973,332,605,687,286,013,349,404,605,
319,118,100,111,087,987,415,680,190,118,972,727,697,266,786,124,200,600,366,
130,844,312,445,119,710,880,742,219,942,298,517,507,572,429,728,576,533,698,
184,235,370,885,306,533,801,819,041,991,415,779,450,713,464,695,945,098,205,
500,016,595,625,794,124,392,416,682,545,280,610,276,788,364,675,387,252,951,
495,860,056,021,150,154,152,288,267,300,954,287,000,440,370,600,781,687,588,
931,308,221,191,574,394,569,099,819,793,138,819,991,783,444,320,941,215,918,
882,752,930,370,428,987,396,509,774,885,640,042,785,241,181,747,432,564,432,
689,040,553,729,940,895,957,886,521,174,560,363,040,320,454,773,763,144,213,
378,611,538,091,954,590,976,694,729,562,788,413,474,444,580,918,174,319,860,
037,322,845,886,454,560,156,144,784,250,144,991,364,655,912,972,017,589,989,
410,518,441,313,527,026,521,195,531,344,927,114,141,855,865,824,232,644,482,
231,104,076,298,525,362,350,806,751,169,166,858,699,751,059,168,837,069,392,
364,225,171,788,380,589,866,300,259,315,873,488,825,018,597,724,974,389,267,
181,827,277,101,895,916,894,118,664,770,400,003,902,999,107,085,577,917,253,
126,495,821,084,794,161,191,487,286,723,012,905,205,351,910,382,359,317,222,
211,008,777,878,987,053,702,390,269,828,596,574,185,805,775,560,427,841,500,
204,477,573,741,764,991,872,698,387,980,194,187,426,055,382,280,879,565,745,
241,895,414,814,487,277,042,102,892,984,859,534,726,088,847,370,534,091,016,
107,408,030,954,825,264,644,487,841,157,062,119,654,064,409,190,472,246,740,
396,026,570,727,190,107,261,956,816,494,172,280,594,532,089,050,498,556,078,
706,024,171,874,762,241,540,906,289,541,643,428,479,719,865,395,842,701,269,
114,903,814,169,363,827,040,775,327,570,575,235,161,911,324,834,349,148,409,
683,242,955,080,794,047,225,712,694,722,802,905,321,805,815,408,380,678,104,
131,711,636,430,176,746,795,986,554,658,791,271,886,493,326,554,701,253,886,
277,055,304,996,996,277,669,537,100,854,309,440,518,151,392,509,452,919,981,
209,421,970,425,520,266,678,916,686,687,020,779,215,624,961,257,382,402,596,
123,600,151,165,071,385,967,108,677,178,445,399,908,671,382,079,910,626,419,
991,669,676,820,970,933,429,335,810,806,650,511,098,544,402,404,639,122,334,
498,918,829,566,004,793,299,539,339,605,178,410,467,558,977,521,260,320,645,
299,385,552,266,162,886,939,642,875,509,276,738,694,129,963,585,099,148,304,
205,658,220,011,816,049,957,438,914,770,490,615,211,407,311,483,904,719,767,
796,831,962,499,487,409,801,899,591,456,470,630,200,182,417,606,546,450,267,
382,812,451,423,787,976,104,652,735,999,254,078,745,783,998,260,153,351,195,
580,594,746,377,032,787,593,166,308,738,690,602,789,519,028,130,466,664,941,
297,280,012,242,457,265,092,733,768,621,932,609,378,752,670,719,467,211,811,
620,432,727,643,975,161,673,940,372,663,040,415,364,126,855,662,367,919,258,
727,258,616,121,863,422,891,269,784,788,236,277,768,132,291,931,090,356,792,
062,773,728,842,853,871,497,586,511,262,231,288,831,471,469,403,688,122,201,
617,850,942,755,567,324,373,712,592,445,928,682,932,076,606,500,430,637,972,
063,963,676,231,583,005,461,786,793,004,661,577,590,164,453,271,598,795,596,
248,661,400,008,207,931,633,063,350,375,402,452,382,861,387,397,291,613,128,
397,067,844,164,567,083,786,499,951,706,500,699,941,711,379,354,679,995,731,
267,768,760,243,751,953,409,426,511,499,592,516,610,602,131,324,665,105,525,
495,249,919,371,385,489,386,709,476,544,998,089,402,099,401,567,381,939,374,
776,389,770,076,640,294,309,845,580,788,849,373,143,406,721,816,072,963,603,
244,854,344,232,715,767,351,014,044,926,823,841,574,736,882,015,538,540,879,
223,199,691,665,096,781,398,718,932,967,980,244,132,868,461,243,401,562,358,
272,032,036,752,107,623,653,788,169,397,392,582,445,150,130,681,255,110,237,
776,706,002,378,221,435,238,973,516,825,751,119,213,726,532,574,437,018,957,
771,894,800,079,521,614,488,399,444,059,926,294,668,125,036,886,832,212,863,
439,918,588,811,614,895,290,725,047,825,128,527,866,444,147,437,615,277,148,
956,764,625,749,572,315,005,287,043,576,702,638,638,739,801,455,303,142,944,
596,006,145,720,029,785,694,391,762,188,510,902,401,591,585,481,158,276,489,
611,866,992,093,691,302,253,027,057,678,759,420,705,407,136,471,294,404,038,
205,124,729,430,901,594,592,368,675,049,560,598,374,116,070,980,841,920,597,
566,214,184,885,105,571,476,238,283,453,566,656,241,195,173,500,919,593,308,
468,148,938,092,132,928,492,339,519,229,031,408,702,887,575,978,554,160,839,
099,113,544,973,226,902,743,397,477,547,639,266,120,546,684,995,040,185,765,
268,022,886,950,913,793,725,886,375,713,862,888,038,696,816,064,371,042,037,
831,653,310,704,557,460,076,567,813,889,911,226,882,542,428,173,908,510,674,
814,990,110,131,448,005,459,555,630,519,873,901,590,104,865,455,034,446,777,
226,500,790,599,970,937,943,776,989,657,320,511,277,016,231,381,122,418,340,
301,829,843,310,880,967,841,618,114,972,693,577,792,443,971,497,970,434,235,
148,049,675,078,017,114,538,496,470,241,195,168,811,009,763,807,025,581,902,
245,983,967,060,651,780,719,716,817,081,210,679,267,957,791,525,348,143,888,
708,996,392,111,022,197,928,865,368,108,119,162,894,968,668,028,091,454,823,
133,268,752,708,924,529,570,313,666,479,727,194,830,343,297,656,958,423,302,
582,434,834,022,487,843,583,835,960,913,746,634,090,747,651,809,559,127,946,
368,287,922,594,723,735,632,218,727,898,435,682,637,276,964,007,188,993,391,
046,353,390,520,733,439,202,386,491,923,420,618,675,739,154,866,719,961,739,
527,450,131,823,137,347,617,825,194,466,479,030,986,868,981,169,661,716,512,
265,950,625,533,262,710,890,114,121,859,473,183,333,471,692,009,931,890,328,
814,839,053,930,435,608,114,536,514,321,193,487,029,062,305,285,218,242,669,
336,549,887,885,575,326,156,603,175,331,523,261,685,821,032,075,749,690,849,
063,390,047,219,180,363,244,689,071,100,392,054,113,193,975,432,631,350,795,
199,648,886,103,334,138,045,285,058,897,528,396,192,304,844,141,238,820,550,
336,918,815,590,529,714,770,213,637,749,154,749,149,269,554,164,861,514,854,
322,925,754,299,662,109,043,396,929,095,828,924,111,445,576,619,711,801,035,
247,634,180,361,589,657,141,008,911,493,568,737,048,848,136,791,121,273,846,
679,647,841,214,366,365,960,870,990,897,049,046,998,190,256,920,112,065,131,
889,333,382,252,310,080,775,228,919,592,108,603,185,673,641,602,592,620,266,
925,219,907,204,459,811,612,599,644,559,340,327,615,415,543,966,383,449,751,
919,118,775,380,696,546,445,821,452,575,032,671,982,521,496,492,084,798,064,
512,856,085,153,190,280,299,745,917,205,046,945,661,023,924,138,744,615,390,
698,583,693,721,687,352,834,748,634,944,401,605,449,755,697,442,351,903,033,
764,255,492,217,174,516,723,543,740,991,053,992,357,153,347,939,948,393,892,
192,998,447,571,677,124,863,104,669,541,025,378,491,970,878,965,273,896,338,
996,327,653,066,912,847,662,119,841,996,947,397,050,475,471,569,752,538,694,
991,308,390,975,898,775,320,469,941,728,390,148,141,963,847,279,954,217,697,
921,506,289,218,416,243,775,589,152,496,241,679,951,050,261,049,348,064,192,
945,681,930,471,401,445,221,783,723,868,577,763,411,135,848,612,396,668,364,
801,036,085,520,560,150,527,805,346,945,141,692,433,525,223,545,022,469,015,
535,903,570,761,799,835,264,291,288,219,608,773,052,658,466,571,453,812,378,
556,770,874,980,264,483,868,179,328,236,054,920,610,929,012,495,320,345,601,
750,903,882,105,536,751,756,934,507,743,800,507,499,623,125,602,702,687,744,
037,374,522,311,098,164,456,822,419,739,233,728,568,489,756,899,146,322,757,
729,942,331,691,421,444,364,377,329,915,541,642,707,087,605,464,170,965,788,
177,781,237,705,178,846,515,954,017,586,134,824,307,234,188,400,799,847,371,
158,846,897,050,706,171,119,183,495,586,928,733,932,144,030,888,360,001,467,
857,372,842,306,477,603,779,226,123,557,013,487,527,764,051,451,529,870,136,
754,380,468,453,721,215,744,256,214,560,920,075,900,586,982,205,570,135,144,
307,651,923,004,595,113,561,023,328,893,177,277,411,377,242,143,968,962,354,
784,953,106,458,061,052,705,328,522,735,187,999,370,483,194,748,833,894,693,
764,355,178,928,993,287,031,477,133,421,936,421,623,338,293,788,628,665,781,
417,497,255,041,119,250,697,861,520,435,932,889,187,145,494,898,718,365,607,
280,804,758,779,674,216,059,123,720,210,096,578,138,227,883,880,975,059,793,
437,157,509,596,164,118,131,354,998,441,179,967,885,796,945,319,438,600,496,
210,932,438,879,945,412,407,121,846,164,959,104,902,957,663,579,263,354,148,
069,872,068,400,655,274,359,612,014,848,811,412,176,377,135,139,710,071,470,
226,881,552,305,081,737,600,109,251,369,925,743,150,803,748,504,194,164,435,
139,111,104,463,643,347,228,283,709,280,903,961,046,036,741,487,397,585,168,
558,781,162,481,120,698,521,905,877,742,278,791,099,536,403,254,777,477,090,
250,730,067,174,168,419,094,374,140,283,405,204,804,564,275,856,113,685,053,
361,070,817,071,605,018,419,530,878,594,092,557,194,042,083,776,335,156,179,
564,861,760,246,010,508,129,258,344,554,263,172,052,856,439,833,803,167,707,
950,144,243,409,184,811,986,903,273,971,304,649,511,603,195,753,541,517,115,
512,667,542,824,204,803,489,925,169,075,632,708,942,848,895,193,171,431,658,
277,243,252,854,458,202,341,828,767,559,576,879,566,450,467,016,036,592,412,
415,364,058,603,266,043,381,867,737,059,067,197,885,345,478,069,107,473,650,
549,558,541,309,157,138,383,251,396,180,981,898,146,348,593,420,042,403,996,
668,695,142,038,977,019,549,091,176,130,465,004,170,303,136,043,525,790,619,
082,090,739,320,818,308,438,068,977,716,850,824,188,988,511,335,134,352,856,
600,644,665,597,917,905,699,256,433,100,469,717,837,767,494,094,300,639,186,
076,827,103,534,247,378,639,143,972,779,961,028,889,982,370,508,135,689,884,
357,498,244,476,206,933,429,425,253,232,334,131,504,979,511,304,166,210,273,
422,447,393,069,458,414,396,122,631,625,271,270,180,094,186,754,203,654,967,
535,645,017,556,911,647,162,536,874,842,519,677,021,830,406,608,763,432,448,
302,160,575,958,437,398,220,406,364,231,769,791,913,617,345,526,170,557,414,
352,324,600,995,674,162,849,150,998,154,225,104,162,744,507,292,605,680,557,
350,098,764,588,274,016,770,007,186,094,181,430,055,175,523,571,369,218,251,
451,267,634,577,864,395,312,364,079,571,201,279,163,334,491,237,151,541,062,
200,025,227,477,013,681,219,022,900,773,904,951,522,126,665,908,404,648,699,
142,556,411,861,603,215,347,582,275,910,067,044,009,174,672,332,880,421,313,
835,662,799,849,770,505,788,966,134,932,005,707,759,137,185,522,567,607,946,
779,694,550,682,809,770,555,351,592,896,633,407,595,447,714,936,374,831,007,
356,969,561,221,718,834,452,977,204,439,196,163,224,769,496,891,943,624,802,
932,692,715,334,726,700,746,240,877,351,171,667,438,319,526,547,324,722,686,
550,944,154,300,530,690,353,918,593,904,122,955,102,265,734,242,207,461,693,
871,774,212,832,135,923,240,882,575,802,995,697,940,627,532,477,039,650,672,
269,710,878,440,095,754,074,650,489,085,365,341,195,251,536,440,502,778,489,
483,845,102,082,525,757,544,180,486,650,059,072,648,305,272,398,223,810,578,
896,458,995,510,196,072,436,034,104,731,208,409,986,798,575,310,046,504,716,
230,014,988,379,195,472,359,375,377,215,558,994,590,014,881,840,533,816,292,
209,601,360,270,886,281,092,235,055,726,071,314,994,518,920,825,555,001,675,
979,657,683,414,515,729,940,440,830,357,796,795,288,598,552,580,289,147,666,
629,018,449,415,178,934,934,558,019,671,806,766,008,684,661,968,073,088,548,
914,995,958,669,434,995,308,464,547,542,597,077,662,578,018,406,790,185,654,
707,917,689,874,822,203,056,765,413,758,111,778,334,761,698,476,454,181,108,
000,449,634,128,634,102,216,535,173,063,887,712,401,159,624,303,622,372,553,
643,989,797,916,507,915,902,507,400,977,031,989,508,270,836,887,731,838,344,
143,821,687,879,962,274,377,042,680,399,485,715,971,732,750,921,539,954,552,
078,391,360,524,989,829,773,485,599,507,509,382,881,968,633,904,454,375,075,
316,304,903,762,788,688,289,882,137,525,647,938,532,956,482,441,717,024,836,
721,206,851,071,531,821,399,209,297,955,253,837,288,927,762,148,075,301,187,
159,494,156,626,928,889,554,247,588,799,240,873,100,925,987,581,886,266,428,
295,166,930,134,049,536,691,645,035,329,041,103,125,712,410,790,081,822,683,
812,912,475,834,694,833,406,600,117,245,008,608,613,341,189,769,361,338,735,
842,397,667,061,190,097,900,110,539,126,059,736,315,807,680,403,137,564,407,
285,248,639,290,270,374,863,876,930,999,982,670,061,242,472,874,375,759,722,
120,852,205,666,480,645,049,994,954,191,997,893,586,583,042,261,876,147,480,
706,596,466,819,017,837,003,079,272,140,326,220,244,079,084,775,347,803,462,
316,688,270,950,491,387,479,040,442,436,810,470,293,226,939,334,391,433,786,
480,743,043,092,024,518,587,632,992,743,106,896,538,385,812,830,016,173,452,
299,142,198,638,837,836,420,514,757,377,020,932,238,514,457,603,234,870,038,
293,503,139,423,125,728,129,386,341,600,009,531,454,952,889,844,597,673,828,
613,286,715,049,307,763,710,984,579,573,107,367,084,245,777,161,429,627,550,
230,661,734,231,305,891,364,476,470,725,330,067,982,388,112,181,763,210,658,
135,407,908,305,257,606,633,397,353,434,690,695,427,003,923,758,750,976,100,
382,723,241,375,953,902,848,455,676,610,854,805,280,846,417,021,456,972,539,
025,933,018,565,880,035,877,559,997,486,371,391,638,463,716,500,554,257,035,
881,026,708,768,674,248,813,647,680,862,299,643,683,133,802,460,598,615,974,
948,770,254,121,426,742,709,145,478,555,436,119,740,224,674,148,208,078,468,
073,750,208,607,269,014,023,589,535,659,835,497,708,654,605,375,324,917,281,
646,485,808,301,944,163,903,844,570,156,843,605,079,603,699,591,690,482,451,
781,942,922,785,922,684,827,314,795,601,161,557,620,381,090,176,159,328,721,
276,597,767,720,006,637,801,966,902,165,846,984,009,715,877,432,542,853,921,
970,707,441,361,772,583,720,381,094,614,571,943,821,928,068,495,155,553,252,
622,846,903,513,813,644,984,790,258,524,225,313,465,804,399,627,868,132,839,
007,778,130,427,361,785,327,493,222,980,657,494,550,985,564,689,966,037,815,
064,260,868,208,324,518,107,764,414,056,446,961,709,177,234,957,254,266,260,
092,833,370,978,514,446,473,575,490,906,489,639,302,977,330,068,945,326,118,
773,712,851,299,455,648,804,563,849,180,568,725,537,724,857,650,647,543,242,
195,002,146,178,759,210,474,898,998,223,458,270,750,610,026,273,425,381,068,
198,166,925,963,184,087,093,017,647,705,376,618,174,057,828,838,790,634,556,
400,116,233,564,086,983,422,946,052,322,934,161,619,532,611,070,859,478,255,
526,532,073,427,261,083,493,334,368,401,220,409,770,800,345,582,841,056,720,
202,883,562,121,556,450,437,343,410,878,495,909,727,813,064,143,921,273,711,
446,015,593,235,958,289,143,508,723,680,550,349,636,613,762,164,453,430,179,
715,563,712,798,056,038,954,613,217,418,747,057,514,526,836,296,284,001,647,
694,960,195,462,265,031,222,678,759,012,912,177,843,502,992,159,070,090,211,
405,369,835,800,580,498,933,069,263,028,282,105,134,708,889,002,139,745,790,
303,129,839,006,039,866,618,609,544,748,333,484,942,899,067,293,985,210,499,
861,228,415,935,446,379,317,432,634,313,833,313,490,114,142,947,982,741,305,
103,870,437,227,654,493,119,499,163,437,268,269,259,563,828,060,601,766,404,
705,777,813,598,538,500,199,906,544,924,917,472,789,604,027,690,307,862,937,
877,639,806,368,390,150,338,878,549,249,259,241,556,969,691,821,775,746,605,
868,555,378,989,262,021,109,985,475,861,282,620,238,911,935,008,589,770,547,
355,159,122,449,448,211,745,009,867,252,983,743,255,812,705,594,822,485,785,
158,576,318,844,257,941,978,003,339,293,907,965,690,520,243,812,686,432,183,
249,311,497,092,086,169,334,374,194,164,001,234,140,260,769,405,305,668,731,
814,469,977,164,473,796,854,339,342,971,907,205,735,874,513,100,534,974,060,
086,344,976,933,419,438,771,736,550,650,233,938,539,705,234,600,753,708,149,
710,124,430,487,289,977,430,902,447,960,834,933,650,707,721,345,950,949,276,
602,800,400,449,718,527,083,761,847,172,640,268,638,739,083,006,585,887,724,
429,395,195,534,960,861,334,112,876,095,462,604,419,698,522,021,861,223,506,
473,116,079,094,579,872,369,298,982,345,666,905,065,695,227,316,689,025,568,
515,852,496,536,454,216,671,834,538,064,737,683,246,930,537,501,059,063,902,
034,197,680,164,936,734,309,752,690,479,402,144,973,581,224,562,833,914,296,
137,068,600,290,075,970,985,960,716,975,583,361,064,444,776,557,341,888,220,
122,356,364,783,607,882,329,965,302,066,169,396,042,395,457,344,002,556,897,
424,610,953,659,032,486,518,900,618,559,584,611,491,581,199,976,410,931,176,
404,260,087,814,548,194,244,465,595,213,333,671,059,873,091,071,736,260,872,
961,694,622,009,739,591,342,064,682,799,478,038,793,587,334,164,129,779,091,
679,238,856,965,020,567,762,745,706,534,401,598,614,263,852,869,163,835,134,
304,605,421,708,242,723,072,251,428,377,287,757,562,685,428,970,365,579,991,
243,639,033,610,738,031,133,753,792,659,964,805,585,267,350,368,417,105,229,
105,890,926,378,649,541,067,335,238,205,733,474,219,061,938,039,362,979,755,
280,338,694,356,190,192,634,127,950,815,289,320,584,399,965,343,876,201,499,
804,653,057,409,272,000,668,555,140,904,569,450,605,155,470,037,532,909,070,
870,026,632,657,914,161,699,408,671,003,770,618,998,631,253,885,861,538,585,
000,949,448,833,606,366,926,082,281,234,189,677,468,752,181,536,501,631,566,
285,806,368,345,160,791,962,101,358,527,479,535,267,508,609,592,030,978,567,
018,500,217,907,122,361,819,242,562,936,815,474,605,441,276,262,672,455,433,
378,245,757,326,345,398,557,285,306,413,620,944,947,719,722,341,823,701,992,
230,063,303,136,826,839,393,093,049,878,260,219,380,355,869,799,480,667,452,
602,627,794,140,715,012,776,041,056,627,765,027,520,115,968,328,375,499,273,
091,177,631,049,616,195,853,048,144,841,848,464,309,689,506,800,612,168,421,
873,694,435,836,521,035,276,084,915,852,321,566,337,779,927,697,776,813,122,
499,051,632,934,116,522,120,060,430,849,609,575,034,158,787,982,501,583,234,
413,109,392,223,731,369,738,946,602,550,960,929,870,392,335,099,647,394,940,
716,621,112,399,976,540,338,546,413,274,547,724,254,362,189,338,723,281,283,
221,235,295,678,040,307,500,760,604,963,985,729,541,991,123,725,545,791,503,
482,167,294,477,751,461,490,741,842,747,157,729,752,903,568,519,826,238,703,
608,414,777,295,443,008,945,596,058,693,523,586,356,878,415,171,661,318,153,
198,377,022,879,405,477,124,895,642,153,474,596,101,489,198,587,959,179,564,
399,974,586,117,584,200,576,035,425,802,790,636,657,017,158,321,127,057,268,
717,366,067,591,055,711,605,950,053,474,697,567,395,225,020,522,894,096,914,
196,184,652,030,867,374,735,281,368,494,143,689,873,546,191,301,211,446,870,
015,022,814,802,637,406,871,249,364,924,529,756,416,659,320,672,742,854,705,
827,390,941,741,222,210,755,331,689,505,952,346,838,200,662,009,001,051,317,
818,649,717,579,184,536,329,271,058,963,619,792,638,890,637,559,629,475,802,
483,182,648,435,973,396,886,996,600,090,569,305,460,772,555,763,642,553,353,
621,670,776,022,248,017,875,303,766,357,242,888,601,751,571,326,243,776,389,
179,709,922,068,904,026,808,619,188,515,657,030,950,539,727,897,435,915,948,
309,958,213,804,738,507,994,748,347,350,181,428,857,056,996,515,404,976,187,
523,411,722,993,848,488,613,119,659,334,806,790,616,094,253,993,458,440,901,
382,408,361,015,991,084,843,409,051,849,636,125,752,535,890,126,402,787,323,
485,913,277,308,050,046,250,536,831,683,037,360,128,931,167,926,514,785,532,
078,523,380,618,169,083,034,067,783,951,544,934,472,562,226,011,261,606,437,
965,663,836,000,196,604,639,734,835,876,488,917,255,274,286,992,266,246,062,
349,066,907,118,154,120,655,089,756,158,753,971,567,778,568,503,903,342,694,
159,896,748,869,835,101,899,476,916,633,569,059,760,403,130,699,394,531,511,
683,189,338,490,475,819,596,610,227,579,323,121,231,261,739,021,260,131,245,
087,057,987,703,957,149,586,054,241,480,465,720,314,068,156,149,087,675,728,
354,035,511,428,342,819,342,504,244,613,964,500,365,042,607,933,984,672,197,
515,867,942,602,526,186,404,231,448,368,170,841,327,923,742,157,124,592,851,
625,760,738,939,499,818,745,097,646,898,080,255,219,246,468,782,649,392,682,
486,967,408,895,779,268,430,246,483,403,552,072,016,256,238,711,489,755,486,
794,349,898,098,144,710,688,886,607,890,876,160,685,719,405,703,665,880,761,
997,939,035,865,696,230,068,510,784,692,316,815,795,997,624,009,958,548,565,
889,485,020,967,937,198,719,438,850,949,612,384,393,628,415,278,970,676,995,
154,168,962,048,924,809,942,912,132,699,108,704,345,493,658,979,482,449,872,
879,686,627,614,188,631,634,393,022,004,209,611,732,081,134,028,645,919,236,
864,139,096,538,755,973,542,786,815,411,975,722,017,468,988,865,602,821,690,
326,058,598,735,193,088,279,206,249,516,967,636,220,538,366,822,833,650,001,
082,931,248,259,752,616,379,116,659,565,246,890,996,130,825,863,442,665,875,
922,446,946,404,369,368,851,586,704,166,451,723,058,724,714,814,599,427,663,
262,825,864,282,269,432,092,477,895,184,898,192,459,730,999,112,507,918,887,
535,752,025,091,389,404,502,046,933,463,205,796,025,059,132,533,938,741,823,
877,436,621,665,737,103,712,928,812,437,319,657,583,013,401,965,085,222,796,
857,199,856,969,192,370,822,353,887,471,830,903,652,080,430,324,569,380,394,
211,227,564,976,299,993,525,648,922,289,246,925,679,549,528,923,808,865,627,
938,004,707,328,639,237,164,455,729,764,588,239,394,378,142,375,705,785,506,
525,638,470,339,060,257,458,520,621,458,230,453,236,041,678,835,912,928,288,
038,394,737,744,285,208,164,571,781,163,055,636,836,446,698,317,861,950,904,
600,087,752,300,652,657,426,345,509,402,216,857,280,397,220,544,665,248,327,
301,434,384,392,107,496,837,966,079,408,255,259,649,134,894,038,624,258,419,
331,901,300,982,867,505,107,333,973,932,909,573,052,554,866,044,925,659,223,
693,349,608,457,746,229,917,487,135,345,142,831,134,922,494,591,188,046,898,
064,716,377,013,141,990,105,884,561,131,850,389,409,516,690,673,144,785,015,
991,466,661,495,246,944,618,352,537,025,614,749,641,662,957,786,232,134,238,
010,881,546,751,182,214,835,375,867,691,463,899,332,726,796,347,984,801,218,
560,711,128,368,325,897,985,472,865,219,408,667,828,114,909,237,439,506,531,
337,358,417,425,555,522,657,823,123,770,694,879,006,799,309,719,063,044,377,
436,774,596,943,953,799,247,604,469,660,975,042,164,463,444,488,199,906,060,
225,777,078,425,427,139,057,269,822,489,641,665,019,125,805,978,277,760,016,
187,472,382,364,178,423,715,831,745,173,625,453,139,936,803,453,641,616,366,
947,897,938,091,630,401,287,817,607,724,086,629,299,580,016,815,266,649,885,
621,199,594,962,932,894,169,069,772,929,471,359,549,444,844,330,675,717,153,
455,690,134,688,577,263,539,312,276,650,262,373,768,063,998,429,082,431,649,
325,969,937,595,131,736,329,858,274,149,782,903,593,046,755,352,650,389,961,
165,319,400,034,177,525,945,250,334,751,486,201,075,749,555,249,064,843,934,
543,619,156,934,376,765,485,167,508,492,843,058,105,628,668,905,325,164,787,
938,779,277,102,976,747,804,064,539,582,050,723,948,231,152,549,034,716,118,
424,023,600,914,016,434,817,570,008,489,487,241,954,892,782,921,533,706,402,
931,928,351,615,724,462,014,384,570,146,146,832,203,978,943,589,290,449,698,
331,952,454,940,246,493,223,407,751,848,423,084,429,034,836,680,789,684,310,
824,417,758,602,315,420,584,333,765,589,027,468,386,278,588,296,237,671,842,
601,115,666,498,553,589,533,803,056,600,853,628,869,003,895,785,259,780,718,
204,225,880,941,951,242,191,735,504,618,466,789,453,580,543,457,120,455,420,
698,374,110,751,361,863,693,714,549,813,637,257,910,022,662,364,904,274,709,
807,662,163,773,697,305,160,188,667,744,964,628,362,709,986,156,048,888,184,
187,286,764,744,311,380,147,245,042,541,235,947,048,111,710,212,698,999,635,
705,311,239,401,969,713,142,160,202,874,202,166,385,479,698,658,778,292,150,
814,441,279,478,541,047,841,551,027,985,366,480,679,954,893,147,801,336,187,
362,703,583,322,937,664,051,531,357,262,892,662,415,564,671,751,993,799,093,
599,584,323,259,685,365,675,282,836,338,954,427,038,455,036,919,878,538,046,
842,619,029,169,619,787,565,419,221,791,671,251,400,348,633,381,089,872,819,
426,468,017,625,523,968,931,613,715,888,847,351,413,798,585,748,100,057,056,
404,693,852,763,291,908,360,854,436,632,935,365,678,270,340,995,070,842,394,
499,053,317,361,100,765,082,798,040,652,505,508,186,672,872,408,605,461,197,
100,779,355,800,472,378,456,945,980,294,077,572,235,869,512,040,108,948,979,
721,070,735,718,944,123,548,053,757,513,070,685,426,754,590,871,828,177,122,
998,849,021,389,316,144,999,673,015,516,283,643,688,854,417,917,814,152,467,
448,074,801,413,855,550,480,829,898,933,710,393,367,992,628,631,395,550,055,
391,812,116,642,362,656,620,768,776,818,740,669,963,252,331,026,199,989,180,
671,712,450,072,056,807,007,832,632,168,446,742,005,337,997,722,149,813,926,
086,768,381,029,727,060,868,507,529,978,172,075,436,907,835,491,129,356,532,
355,158,056,506,485,435,364,706,021,816,806,237,853,558,446,273,414,550,455,
173,158,115,547,609,564,357,450,862,427,358,504,363,798,279,815,981,837,666,
138,030,588,061,914,141,149,848,632,605,487,020,704,101,231,415,765,964,381,
947,777,909,150,267,561,353,398,208,722,943,955,479,188,720,630,719,519,095,
462,532,996,809,683,676,803,416,079,055,151,615,698,356,292,944,236,754,157,
691,089,863,881,438,182,678,949,789,819,761,937,138,113,728,112,255,991,393,
548,422,876,094,290,286,852,623,828,448,683,645,934,757,232,459,858,911,943,
615,585,075,568,390,555,380,509,160,459,148,731,827,721,478,239,511,168,837,
972,859,007,950,290,903,612,539,049,114,603,012,677,785,649,019,896,390,378,
481,037,661,696,958,144,840,026,760,778,725,919,026,614,967,655,490,311,865,
352,249,308,814,253,753,964,362,878,802,390,137,347,627,985,727,436,783,404,
547,800,630,902,428,640,342,743,938,906,470,441,068,586,527,362,239,066,630,
518,327,176,940,969,814,173,364,353,782,733,314,565,492,061,234,657,347,284,
628,280,655,271,914,274,348,418,773,638,548,799,140,545,315,924,805,737,923,
285,713,757,686,906,238,514,105,943,546,350,686,329,163,505,373,569,702,891,
277,689,591,854,236,737,407,685,979,407,282,644,096,260,807,947,752,177,036,
331,889,414,679,417,509,668,779,662,255,317,013,976,040,630,483,520,697,370,
229,328,081,658,472,550,024,925,389,897,801,554,811,498,079,186,980,732,999,
378,036,081,880,366,373,328,226,373,515,886,612,269,803,916,754,612,780,993,
273,302,438,052,753,160,650,699,653,246,407,785,011,338,928,072,497,143,943,
804,692,264,937,989,438,918,048,608,541,141,626,523,599,643,071,376,739,301,
707,681,662,251,393,945,363,221,950,836,352,522,136,342,788,876,522,635,095,
197,662,044,498,769,424,448,371,760,059,830,710,411,345,918,529,250,711,964,
415,469,413,294,573,916,910,519,529,801,994,663,079,819,809,151,437,348,133,
102,185,421,835,370,358,092,652,951,802,712,858,794,355,516,885,978,308,228,
333,842,107,227,883,918,567,741,626,575,018,401,747,384,547,738,975,787,015,
136,135,748,490,815,005,099,194,001,082,276,028,782,285,487,928,699,726,589,
390,794,564,105,806,722,651,811,928,255,480,187,471,370,571,599,052,474,945,
473,664,991,254,905,713,931,837,984,530,689,420,797,706,974,279,650,862,226,
562,234,878,899,969,631,281,729,599,568,236,422,946,506,171,248,554,365,619,
085,652,144,505,619,316,727,010,132,252,329,207,791,330,189,826,254,343,200,
050,792,949,599,181,029,469,556,547,965,629,412,717,714,652,381,922,469,970,
133,197,171,413,965,838,131,567,925,314,883,736,760,392,165,757,527,271,748,
938,030,158,803,078,101,409,264,802,026,587,192,392,446,353,179,113,090,860,
900,756,656,971,529,079,548,161,071,183,661,157,779,853,283,488,075,061,609,
509,689,513,913,665,418,336,334,267,291,336,827,428,004,126,853,320,829,188,
159,473,588,839,345,165,878,096,046,987,765,955,229,928,096,027,201,744,216,
832,971,167,493,422,190,891,781,350,620,865,339,220,216,880,142,230,426,851,
239,296,687,079,594,982,127,236,429,273,996,451,903,046,758,605,734,204,371,
083,746,500,277,857,071,311,044,446,008,649,651,598,607,047,932,868,718,446,
907,611,565,691,431,770,947,760,377,356,708,531,194,265,415,341,014,586,097,
652,236,573,507,187,381,890,378,178,525,255,008,639,989,458,776,431,143,224,
636,824,337,476,270,258,133,491,908,578,656,960,220,017,489,475,572,312,435,
695,878,485,248,744,048,059,730,000,329,898,536,943,965,948,368,574,305,550,
661,871,657,907,562,584,689,047,750,905,634,226,717,718,456,275,070,264,963,
032,610,301,754,256,114,674,780,566,231,090,411,988,368,383,531,643,198,534,
600,457,229,051,514,712,221,405,167,215,505,912,641,710,903,429,678,225,499,
518,321,816,965,393,653,083,032,957,082,292,307,557,985,299,511,220,301,170,
659,763,440,574,555,484,659,956,263,319,713,541,327,623,190,163,900,655,588,
089,910,787,185,996,253,012,243,087,207,615,698,554,977,921,245,094,688,957,
756,858,855,741,878,408,019,840,118,246,296,869,210,711,194,200,485,942,238,
102,604,852,577,952,189,072,515,417,763,104,196,304,283,017,907,231,495,083,
429,133,422,032,191,133,921,134,908,911,302,572,770,816,542,440,900,879,238,
469,180,505,659,801,125,121,354,352,589,058,375,279,402,491,277,094,214,734,
670,283,367,671,499,112,414,330,267,843,036,331,676,838,956,264,929,211,364,
860,232,629,280,586,878,750,796,577,081,076,388,126,237,805,452,065,204,916,
602,248,915,608,227,489,549,818,941,441,681,943,599,080,427,344,257,816,853,
055,414,365,460,436,105,425,684,596,024,804,286,414,910,928,088,344,206,020,
464,789,890,131,682,370,016,064,912,559,327,099,448,811,758,922,640,460,080,
548,626,724,298,526,816,700,578,359,161,251,442,731,161,289,469,044,169,300,
683,977,189,307,519,563,250,711,347,458,261,855,078,457,486,385,303,894,702,
830,420,225,911,594,542,489,242,499,552,663,605,008,941,703,294,980,126,107,
125,519,079,390,100,616,534,822,729,334,919,628,226,786,273,561,203,386,189,
058,426,309,506,113,687,686,450,141,395,728,252,653,366,153,870,710,764,698,
556,874,826,234,883,820,911,536,336,981,059,563,538,746,811,780,044,172,562,
952,187,670,823,166,339,796,655,228,870,595,658,083,982,582,847,994,607,122,
327,863,786,254,422,156,631,493,708,333,623,428,950,340,717,143,037,626,264,
674,981,535,209,144,720,340,500,165,593,908,499,889,776,813,661,398,746,335,
682,988,984,314,755,402,331,134,247,763,792,140,118,220,802,133,601,086,851,
102,121,506,692,283,680,800,741,088,883,953,475,432,618,869,935,865,145,821,
463,007,942,551,469,110,721,726,621,952,353,289,844,643,041,391,809,869,914,
244,268,132,180,019,643,263,007,358,383,947,491,779,900,975,048,592,767,641,
489,724,604,759,591,233,156,277,626,442,483,846,117,511,221,112,399,458,587,
625,602,896,972,769,420,637,845,754,428,786,118,101,945,721,959,713,695,142,
489,191,859,516,947,026,766,046,601,505,374,095,463,355,592,383,266,231,633,
430,978,760,993,404,193,211,397,008,026,749,305,881,200,984,195,495,716,325,
161,452,064,561,809,104,342,603,837,244,670,044,792,466,559,893,508,820,736,
840,295,341,407,161,780,352,897,888,844,317,790,604,761,087,912,411,147,659,
123,193,579,842,843,195,612,267,462,795,736,258,483,450,084,350,182,178,145,
596,715,022,810,228,517,814,125,683,995,074,810,337,141,898,985,041,021,080,
548,155,411,233,310,958,900,223,300,535,044,538,760,276,973,597,307,588,478,
551,385,618,716,968,280,637,398,951,934,278,760,270,546,487,584,995,656,557,
024,127,847,052,889,882,110,760,987,082,119,656,551,505,572,745,129,275,681,
454,154,103,910,181,627,277,700,588,743,621,282,963,763,487,370,789,942,560,
316,728,069,582,611,280,162,750,162,660,297,548,124,765,285,460,318,238,309,
277,692,082,918,199,234,053,138,844,023,738,798,370,243,778,946,326,100,533,
480,525,801,620,889,716,476,944,425,386,779,373,642,027,272,859,032,598,746,
162,357,299,132,392,825,464,325,063,594,675,267,246,718,741,383,517,387,846,
875,994,157,633,678,215,508,445,365,502,660,728,998,571,704,399,354,469,276,
640,004,047,749,626,785,207,303,060,606,838,695,560,948,764,210,264,898,643,
468,986,796,229,931,312,663,541,075,422,727,143,353,634,460,626,675,081,624,
247,516,578,561,500,449,605,136,380,290,639,368,082,711,548,294,578,868,524,
990,303,880,872,215,215,385,148,742,297,216,995,617,232,616,273,303,789,117,
449,276,166,825,681,801,262,755,926,723,234,152,126,917,829,507,365,263,692,
722,454,216,279,942,119,269,838,157,152,070,902,666,356,913,139,780,712,002,
423,752,401,168,486,690,641,489,114,787,332,599,485,308,225,212,791,769,031,
965,297,271,499,232,446,095,300,068,734,724,539,985,205,594,621,111,520,909,
525,417,222,524,879,296,550,487,971,472,135,631,613,566,032,628,848,254,263,
443,640,996,168,516,107,839,875,601,662,697,582,100,022,934,087,050,562,965,
750,740,651,285,955,145,609,217,969,959,546,116,202,504,123,775,348,141,030,
485,185,876,892,753,632,565,689,792,273,146,247,208,537,298,808,961,259,975,
890,687,997,911,238,263,319,597,037,315,525,037,480,206,553,997,288,268,140,
532,929,991,845,491,360,007,002,354,593,910,347,778,237,297,823,414,717,055,
890,750,490,944,231,845,906,763,056,944,296,170,336,420,266,331,449,365,816,
704,364,928,047,105,871,687,947,864,864,482,674,368,992,289,455,690,881,517,
883,233,693,268,593,788,739,266,837,291,110,007,487,141,646,793,138,263,083,
981,858,474,062,095,520,807,703,485,164,021,570,483,803,189,073,559,145,819,
069,238,335,688,323,678,002,938,120,095,727,814,304,020,768,110,607,747,296,
328,106,792,117,214,734,660,995,922,718,230,264,592,601,704,169,353,450,840,
635,899,731,851,047,052,198,610,894,384,061,452,320,413,101,702,771,288,774,
949,155,799,040,755,795,242,135,760,350,794,315,329,725,457,450,488,612,866,
029,437,562,422,217,499,244,899,533,779,353,078,169,170,621,634,262,213,725,
772,299,660,756,796,148,452,520,754,985,646,696,231,377,438,108,248,784,437,
980,739,104,602,603,399,125,588,389,438,159,588,354,631,348,222,830,425,235,
669,588,971,743,316,306,499,316,237,025,821,685,433,844,173,701,240,181,831,
923,235,048,173,935,834,481,345,862,746,830,164,156,125,840,042,604,435,330,
848,853,452,145,181,043,127,743,445,946,855,769,664,443,432,590,090,845,676,
579,074,148,093,660,230,903,565,157,795,164,706,485,209,566,529,868,422,400,
359,084,069,288,699,787,744,674,563,398,910,765,336,736,745,395,586,535,548,
356,771,248,565,134,309,050,866,297,904,907,195,815,461,567,425,799,226,401,
246,529,160,053,518,733,585,772,701,331,139,753,432,232,910,425,712,580,804,
528,812,712,046,579,921,598,796,918,646,279,487,263,980,544,221,771,505,863,
997,750,897,369,023,307,264,170,756,588,435,129,128,039,728,208,357,381,321,
196,903,438,065,658,001,369,263,165,843,569,773,419,676,781,771,953,428,559,
161,384,082,748,874,997,725,735,980,131,454,107,724,604,386,230,951,047,405,
771,798,085,184,193,902,247,230,469,962,734,887,903,783,596,871,105,505,914,
075,810,582,650,453,343,085,063,292,172,099,628,560,670,190,862,927,872,423,
613,759,281,496,122,237,044,865,655,490,529,360,399,617,175,122,566,317,486,
416,209,172,508,940,427,895,594,878,674,024,040,730,716,919,213,842,917,265,
966,261,814,811,385,678,046,022,974,449,885,010,983,198,916,037,945,256,680,
968,325,759,531,031,680,644,806,858,136,721,588,357,997,814,481,433,734,655,
479,987,110,806,180,445,974,568,893,547,491,152,893,122,228,156,672,223,320,
697,635,331,266,407,373,526,671,876,561,850,150,096,140,953,580,661,468,503,
621,950,508,753,602,839,961,704,642,902,587,290,536,549,913,323,817,647,332,
851,285,087,150,843,997,466,825,681,351,166,675,117,926,914,444,617,510,856,
430,323,318,185,852,093,843,928,003,263,712,837,184,845,246,569,226,435,993,
196,346,933,752,797,867,662,346,929,602,496,529,498,294,421,864,419,615,700,
452,775,153,845,601,025,394,317,157,561,947,698,863,516,581,176,193,989,050,
303,091,481,854,651,472,226,744,094,697,104,189,860,072,017,573,154,557,822,
420,331,413,323,001,983,570,241,424,363,404,033,573,626,844,420,920,751,216,
311,854,418,134,840,646,853,368,367,288,265,822,116,573,632,110,053,876,639,
385,775,998,524,084,560,099,005,716,149,565,613,084,479,060,907,100,012,464,
711,119,104,648,124,655,363,760,936,756,861,289,022,838,926,505,947,398,040,
967,296,489,624,679,505,583,477,220,702,220,002,146,421,130,215,246,474,221,
787,706,724,621,170,782,412,136,131,390,924,115,320,863,436,109,397,954,469,
736,510,334,386,675,001,242,649,093,168,941,495,084,914,190,523,606,157,536,
366,090,733,996,356,247,538,928,143,165,457,761,543,298,786,940,336,033,160,
447,393,766,094,815,976,539,381,889,162,873,501,146,869,856,012,471,358,277,
349,216,505,553,874,348,920,777,311,067,634,065,876,989,491,588,013,832,694,
213,374,056,130,481,023,337,804,839,788,059,782,454,525,021,461,962,050,057,
660,118,381,635,204,943,858,001,949,114,233,335,486,077,628,129,337,366,439,
499,493,182,865,393,163,589,255,209,531,696,930,207,310,072,052,021,943,889,
453,536,200,522,550,139,601,112,458,327,619,008,197,948,556,083,276,725,696,
133,290,890,096,307,562,524,211,333,681,788,327,627,085,170,002,605,981,852,
404,843,837,943,166,791,936,955,808,632,164,642,825,343,136,406,331,829,765,
553,419,505,277,225,456,547,519,092,908,110,034,141,546,332,102,561,205,793,
309,659,129,981,306,458,789,913,289,325,489,091,264,196,174,145,493,096,724,
048,369,251,335,915,038,433,999,790,898,591,443,653,951,298,929,058,330,829,
030,424,391,400,181,615,248,698,954,722,609,014,134,607,518,763,901,023,386,
703,209,541,731,288,568,956,494,276,919,174,001,646,551,830,474,065,104,684,
282,840,109,653,962,502,966,222,030,105,036,181,239,238,881,992,037,093,648,
066,428,396,995,452,364,316,542,985,768,845,951,815,097,531,076,905,434,056,
263,929,806,614,428,242,308,658,877,103,939,960,485,703,202,901,562,650,434,
084,441,623,071,622,090,580,472,399,274,271,034,376,176,794,573,581,218,650,
270,061,708,478,434,357,380,431,248,735,646,347,399,023,317,110,275,859,403,
879,837,121,041,439,666,832,837,762,704,237,908,084,270,205,204,468,704,101,
266,548,941,488,028,286,455,023,285,906,859,327,105,578,954,959,993,583,696,
196,418,276,595,626,781,526,511,035,046,611,930,400,979,255,165,759,755,576,
842,704,860,325,243,008,026,036,018,700,595,908,268,864,320,008,866,147,223,
799,860,769,817,085,126,748,310,903,491,967,666,105,573,766,134,586,441,031,
716,264,349,126,810,368,446,848,958,982,176,152,222,336,757,179,866,919,481,
128,834,594,040,236,726,989,322,009,055,830,080,504,540,742,274,791,493,504,
883,390,994,261,983,877,925,789,319,668,166,163,277,181,387,754,340,202,096,
761,950,312,223,086,401,625,666,837,178,113,067,229,026,596,714,458,589,157,
203,881,256,309,336,228,667,751,242,865,616,977,142,179,254,369,357,691,908,
233,039,746,502,360,279,670,187,833,245,428,715,128,789,490,758,225,049,524,
097,207,472,284,974,595,041,901,399,177,420,854,185,480,673,241,237,108,687,
383,101,791,739,522,039,145,369,453,403,764,648,633,306,894,455,068,994,629,
557,826,826,321,581,755,045,172,800,016,850,194,633,657,634,192,742,218,516,
212,600,870,727,922,843,866,842,187,618,131,488,117,446,910,543,866,197,566,
804,565,115,952,764,011,473,725,558,232,205,019,664,214,229,885,785,750,665,
832,803,491,972,300,235,135,874,072,253,780,880,191,745,518,294,723,016,604,
960,474,365,787,955,146,513,101,835,983,648,309,522,612,508,398,419,941,584,
756,419,295,472,708,133,800,209,496,405,200,112,281,610,977,289,869,542,005,
651,076,735,908,391,828,009,534,416,347,401,836,005,913,588,278,861,982,741,
613,093,286,634,704,657,526,193,858,547,128,087,044,923,809,096,779,761,162,
624,485,855,624,294,814,678,973,973,138,918,136,514,248,129,723,307,356,609,
118,203,408,976,770,081,359,274,380,607,064,889,954,167,818,126,248,092,606,
741,685,634,427,872,996,880,056,565,646,340,064,950,797,680,401,413,371,341,
488,755,326,090,309,479,846,859,364,994,633,136,142,956,800,849,947,537,991,
658,689,246,112,939,340,065,733,337,774,483,179,864,551,838,344,707,030,345,
203,939,891,390,213,965,159,554,198,884,129,477,224,505,288,939,179,247,482,
469,879,062,691,806,070,690,710,657,142,550,355,437,947,644,972,729,865,682,
018,891,005,833,590,215,463,485,860,196,493,887,134,413,781,563,576,356,111,
270,630,447,847,637,294,095,782,224,993,166,182,838,580,003,751,759,848,971,
415,621,517,000,951,049,312,309,796,516,731,401,484,472,421,500,715,395,146,
556,860,687,926,120,756,379,620,412,695,911,387,285,464,270,644,783,578,744,
416,581,874,379,512,143,363,556,113,838,236,654,100,102,047,003,969,798,270,
063,849,778,626,688,699,393,437,977,117,511,796,823,677,738,851,363,798,231,
790,748,283,030,250,799,689,700,105,050,482,920,601,200,156,448,744,896,868,
117,425,672,285,602,082,227,568,006,509,473,699,163,893,981,288,211,300,365,
941,495,367,546,067,588,320,053,589,369,349,898,929,835,263,742,191,865,132,
540,923,190,357,000,662,599,602,936,306,424,566,259,797,298,050,404,855,213,
725,370,367,328,051,311,779,069,964,458,676,290,046,164,590,118,562,411,647,
733,778,138,370,093,067,761,595,032,689,782,798,288,505,664,235,078,047,839,
376,350,119,079,100,075,095,107,789,463,708,094,794,534,791,987,092,975,327,
391,258,326,959,252,730,855,225,662,653,028,569,147,071,433,135,011,234,382,
421,257,545,430,912,868,084,830,807,470,443,805,537,807,771,084,114,024,078,
680,708,581,635,808,788,768,016,222,956,765,463,000,141,580,563,310,254,313,
219,794,206,877,817,601,378,765,228,563,236,671,908,600,601,990,298,697,159,
444,707,473,796,055,148,023,665,913,403,018,724,333,523,792,918,500,810,299,
550,362,461,671,259,370,656,900,775,025,569,263,459,934,264,495,099,522,768,
422,754,004,880,462,151,525,863,951,436,526,652,296,637,756,458,578,341,200,
012,175,235,113,026,824,309,157,041,559,684,139,499,677,624,479,858,685,382,
004,320,617,976,834,514,117,682,902,845,953,719,593,508,761,061,248,748,866,
479,926,495,069,432,816,199,334,310,362,426,189,666,708,923,234,111,695,400,
579,478,749,899,758,419,440,560,352,620,705,493,120,569,394,037,502,896,546,
982,183,152,198,157,151,110,605,736,546,311,243,096,681,104,840,511,833,479,
739,027,707,331,955,330,926,103,805,810,452,253,180,565,469,797,303,476,748,
120,356,515,810,872,004,733,446,303,064,815,229,285,581,512,881,005,733,802,
038,380,116,658,914,718,490,823,553,483,075,395,879,505,785,593,284,191,553,
244,128,735,724,918,124,121,494,211,864,008,963,940,108,636,598,662,811,143,
498,704,134,245,297,699,826,176,835,166,913,382,963,319,533,282,681,803,878,
790,948,041,167,339,629,981,235,885,339,787,881,264,294,455,837,041,082,080,
600,261,751,310,146,049,494,112,813,969,699,396,062,259,258,716,656,757,986,
949,786,616,025,366,579,037,328,218,487,069,187,829,495,925,492,354,644,372,
444,397,495,959,996,172,108,881,924,090,039,257,213,002,857,055,889,423,139,
899,500,012,099,566,007,563,581,506,950,837,887,649,226,436,497,661,679,724,
767,216,554,444,162,075,610,908,280,990,370,745,201,677,134,215,356,015,983,
402,627,603,829,245,178,662,738,676,438,698,184,540,515,464,043,837,582,458,
747,846,075,717,272,713,258,265,268,016,925,731,857,532,277,067,058,829,820,
260,888,943,322,223,024,982,365,688,215,463,959,219,474,645,548,169,897,559,
428,958,418,891,683,782,452,604,014,036,777,910,567,712,377,087,972,786,880,
481,940,207,930,626,078,455,874,315,679,957,447,608,192,885,476,323,586,096,
092,797,158,950,641,325,257,401,798,182,123,821,914,865,209,547,746,348,154,
214,960,701,375,481,592,367,678,978,965,456,459,931,509,308,650,124,291,394,
026,272,252,080,795,817,594,774,563,962,099,876,635,287,294,127,030,217,945,
328,373,161,202,321,919,488,879,160,098,388,995,418,394,152,770,815,139,473,
638,412,818,184,050,341,667,344,781,426,895,218,960,725,809,554,380,914,281,
714,149,884,990,470,598,448,289,139,221,358,587,176,851,747,873,128,856,764,
595,111,299,970,758,567,027,890,847,375,962,367,631,996,611,690,285,863,466,
405,156,766,813,485,097,003,392,636,913,295,187,960,010,966,170,564,610,689,
423,243,318,415,593,070,178,026,755,063,020,568,779,204,993,607,153,078,717,
750,155,718,775,713,197,847,601,495,232,990,292,662,427,587,629,573,335,552,
751,812,051,572,386,012,580,082,389,396,739,378,166,517,322,098,622,273,584,
807,884,528,804,968,217,649,132,948,851,552,373,615,316,449,115,033,844,132,
928,021,949,230,362,356,365,031,862,557,175,054,638,248,249,076,251,720,854,
904,436,176,832,797,240,608,677,242,782,227,111,986,956,998,260,850,202,127,
529,676,634,073,861,317,417,273,467,673,268,051,715,560,923,458,635,656,731,
982,089,244,258,379,744,272,346,172,161,491,254,475,442,057,032,844,533,885,
298,215,004,999,290,205,140,315,830,746,623,666,005,067,292,626,246,710,463,
740,484,086,379,328,084,983,662,479,613,367,083,066,607,197,053,940,531,772,
002,498,148,849,834,372,938,603,552,916,796,531,326,355,731,331,559,689,680,
786,592,289,220,308,803,880,276,213,695,095,662,490,829,724,005,867,961,792,
459,371,167,833,828,960,162,768,526,089,439,033,029,013,660,362,407,874,505,
019,285,169,269,602,928,519,292,201,412,469,076,522,244,977,180,413,370,182,
640,393,426,004,920,594,279,381,153,107,520,739,219,502,467,929,582,632,865,
638,947,733,253,746,630,339,493,180,728,338,490,503,229,467,105,239,659,492,
740,212,152,072,652,263,328,325,723,639,394,400,341,503,773,567,626,757,615,
761,250,769,148,563,577,320,037,739,955,474,175,854,198,650,574,339,511,939,
721,753,000,919,992,118,675,675,133,296,021,482,839,397,912,347,178,447,214,
208,199,341,735,879,214,616,689,084,470,142,286,356,438,480,856,008,454,028,
280,733,602,162,003,112,079,978,644,225,683,966,782,379,194,216,315,340,348,
400,844,070,927,339,049,946,029,128,197,608,292,971,809,072,460,597,752,858,
583,385,960,958,951,113,470,058,656,276,421,570,088,724,061,769,904,644,060,
421,152,637,177,208,492,646,300,841,420,753,276,541,360,408,669,282,695,292,
523,732,626,083,544,431,004,996,727,678,175,805,046,332,739,583,674,413,218,
175,618,119,974,350,147,848,871,851,279,008,412,566,560,305,696,860,266,075,
108,491,531,542,689,384,757,138,236,607,179,398,248,598,121,998,130,778,361,
191,664,007,617,736,986,126,616,111,914,066,759,903,274,402,916,742,844,227,
998,070,332,641,206,000,998,250,435,374,845,374,124,780,649,286,796,137,930,
820,877,327,524,237,457,912,774,865,275,417,324,464,090,170,258,897,300,784,
578,534,149,682,226,207,119,570,774,838,825,107,585,038,473,747,568,209,761,
340,890,394,279,620,122,806,885,187,057,332,156,704,087,609,672,702,137,593,
172,156,478,743,761,799,402,302,573,924,208,985,847,327,668,569,467,363,605,
086,073,860,040,838,983,638,695,322,131,158,405,762,405,214,848,291,029,391,
816,964,256,417,109,097,244,507,661,887,573,163,804,935,354,585,164,705,729,
976,365,591,407,464,181,783,993,533,068,138,336,083,253,727,747,224,637,053,
244,259,232,402,844,711,354,287,663,251,147,925,721,165,637,188,512,199,489,
937,534,910,071,762,725,173,830,328,164,682,473,813,474,685,385,566,018,770,
783,892,582,207,166,254,413,628,169,084,436,540,394,906,264,072,620,881,050,
198,048,688,317,106,002,236,097,605,157,493,420,327,689,267,275,484,983,966,
252,605,219,883,175,292,640,333,660,197,229,249,724,563,123,039,108,365,603,
864,480,403,157,361,580,732,289,648,066,659,453,361,727,969,948,192,682,454,
862,338,820,327,216,779,120,740,953,070,709,491,520,003,896,467,979,906,274,
064,157,197,777,912,989,673,829,686,759,840,127,783,998,929,602,560,920,058,
161,757,177,643,361,168,293,876,284,668,842,214,432,756,329,963,500,027,904,
657,264,182,003,556,311,808,355,226,053,408,649,297,034,681,174,404,098,963,
457,873,910,592,255,673,227,024,104,762,540,430,028,716,620,516,405,739,533,
816,340,408,564,304,912,399,887,432,665,435,146,759,565,398,856,156,646,872,
370,523,327,707,958,362,248,290,025,612,152,133,811,554,234,906,925,897,273,
836,346,795,056,907,693,324,333,820,141,290,875,544,082,313,146,457,846,816,
536,023,591,322,942,734,865,681,359,227,676,657,167,130,531,201,852,298,678,
582,827,131,046,436,213,168,563,233,083,791,046,085,209,069,418,947,956,355,
513,295,577,947,085,765,935,266,944,863,377,835,885,862,574,045,213,660,172,
678,046,905,625,929,493,106,254,860,753,794,463,868,858,263,468,631,277,755,
670,422,554,892,133,828,382,420,978,726,389,684,551,357,928,272,439,078,612,
986,339,588,475,549,980,892,937,340,158,270,160,660,146,032,180,438,900,394,
632,164,695,395,688,537,902,675,838,175,544,320,386,684,009,651,104,032,550,
544,469,206,753,320,029,929,585,768,197,835,643,170,239,263,167,544,025,893,
690,738,154,202,444,577,688,847,570,614,284,308,113,086,136,638,311,078,825,
523,139,519,722,877,389,657,942,329,201,482,344,291,887,216,963,102,862,290,
055,950,956,451,409,010,444,415,254,738,672,751,327,407,760,962,815,793,370,
148,099,506,605,275,851,556,546,381,623,185,161,137,324,205,574,102,724,239,
440,987,468,972,066,882,374,106,184,735,097,393,995,833,662,356,450,517,153,
699,934,246,313,492,898,308,690,424,842,109,885,027,066,536,848,578,600,724,
895,039,540,834,357,420,027,877,197,587,327,357,178,858,275,817,579,816,949,
772,484,361,586,193,465,452,825,177,652,763,254,487,756,745,140,528,050,136,
137,978,877,333,891,446,005,203,978,752,424,881,549,747,343,479,390,187,312,
591,559,372,904,133,535,474,681,375,513,656,640,487,085,518,569,040,920,038,
554,260,827,211,818,132,809,633,606,624,394,870,943,560,529,511,698,458,829,
738,603,568,815,819,847,108,915,850,217,770,550,342,244,088,267,558,221,492,
085,420,173,928,503,893,125,496,919,766,562,818,344,949,617,453,151,978,106,
847,930,689,381,721,328,831,584,895,384,101,477,958,358,860,282,280,800,330,
521,736,166,521,498,281,147,495,966,536,152,287,434,637,673,284,633,963,344,
746,767,727,945,193,699,879,715,890,393,436,165,769,880,338,343,877,119,143,
912,086,292,775,036,341,033,290,260,479,769,829,707,721,373,975,121,946,558,
470,423,012,388,226,385,885,953,937,182,204,260,258,470,661,562,217,373,878,
326,280,499,523,477,219,904,744,357,834,821,701,025,038,205,425,171,686,003,
256,321,658,427,290,936,326,240,022,643,105,585,589,600,569,407,581,377,952,
348,823,457,571,296,070,839,460,572,424,539,565,224,327,337,311,000,830,495,
658,266,470,444,275,500,012,132,913,050,737,529,084,000,757,398,897,776,404,
009,117,316,872,883,262,295,128,970,501,230,608,155,280,287,791,008,099,884,
423,804,088,547,592,826,576,914,460,134,272,963,558,712,465,516,373,098,726,
861,461,517,096,515,255,789,068,036,065,488,774,874,311,779,437,878,161,703,
007,748,583,092,561,263,438,203,057,366,152,604,748,989,941,120,865,432,955,
336,912,359,112,742,983,481,118,578,573,183,395,275,497,182,919,643,012,125,
375,887,050,266,858,110,374,289,515,527,904,362,377,474,852,425,375,691,879,
711,930,941,299,398,988,894,090,319,807,792,218,231,198,259,394,353,251,281,
188,486,554,908,782,294,353,845,354,936,341,521,956,129,252,737,940,890,852,
246,929,196,218,648,219,019,193,384,029,495,807,420,307,693,618,173,820,203,
283,542,621,938,303,847,724,874,416,106,997,156,721,034,671,215,289,379,166,
533,322,710,743,547,951,537,448,685,319,720,669,182,089,684,843,779,821,174,
812,620,237,624,062,955,660,352,714,445,417,935,988,828,607,560,055,396,068,
921,122,992,940,690,254,627,121,020,837,607,588,470,523,501,013,176,463,753,
789,138,447,522,491,177,813,322,209,047,056,030,576,341,639,564,576,295,928,
730,855,937,000,097,713,819,901,309,636,242,841,330,455,387,366,445,650,114,
362,388,619,958,698,934,087,841,118,983,130,679,105,512,683,290,157,427,727,
430,296,003,926,512,219,930,273,622,840,025,098,225,395,143,995,630,110,231,
758,510,369,080,321,253,035,804,588,112,621,011,924,408,320,070,037,732,592,
010,596,089,263,283,782,335,474,051,856,783,255,424,755,406,222,282,404,518,
928,747,204,193,358,641,977,389,434,240,646,733,911,495,995,915,365,724,364,
054,249,025,381,871,243,541,197,538,757,984,215,094,878,480,682,289,396,808,
303,987,600,757,209,110,153,910,913,854,294,195,176,626,706,262,372,227,219,
182,897,849,653,672,060,986,744,259,453,615,516,594,434,946,343,788,272,873,
010,620,699,350,419,782,142,999,845,647,877,031,550,250,719,327,409,378,536,
864,635,716,285,296,145,086,839,784,057,122,433,265,190,720,234,041,494,158,
753,969,310,483,301,789,581,414,709,640,172,508,671,014,800,286,048,920,109,
976,282,552,925,743,495,897,957,415,618,619,947,550,958,200,649,986,667,247,
493,796,381,482,721,341,174,050,187,976,458,987,422,649,681,948,569,646,591,
304,670,498,388,265,619,254,803,041,194,481,553,002,196,139,322,835,510,245,
879,201,122,072,830,135,419,412,789,752,196,716,492,077,116,436,853,914,524,
502,299,868,471,155,478,896,163,536,857,813,154,853,470,531,769,920,067,152,
653,375,164,052,393,024,166,281,239,545,574,895,513,592,308,103,744,099,261,
471,136,029,167,075,514,411,407,081,929,217,952,630,280,269,415,087,795,508,
762,076,621,795,620,135,130,507,335,570,198,181,163,910,835,223,076,994,161,
010,978,023,452,526,161,497,981,995,307,870,072,684,083,380,071,383,496,185,
546,706,840,085,384,131,721,301,181,841,298,643,865,920,444,363,063,807,765,
647,283,241,665,357,804,656,523,418,891,377,372,771,955,578,390,383,868,299,
030,625,302,644,644,941,370,899,092,306,228,966,975,075,953,689,458,930,869,
387,115,267,820,500,669,335,552,396,880,666,315,869,960,243,642,614,472,297,
750,452,715,818,268,146,168,279,014,133,590,607,998,629,323,643,928,435,470,
429,003,284,002,844,448,159,587,129,736,117,854,432,223,780,243,337,566,621,
124,884,422,309,689,089,069,927,712,019,384,969,086,603,161,065,933,116,713,
943,937,296,500,309,131,596,842,079,012,952,484,631,718,808,617,570,320,269,
935,343,628,661,331,037,956,608,127,370,015,555,065,356,482,137,289,383,916,
216,931,556,396,297,602,802,923,217,114,230,171,512,806,255,426,149,819,283,
006,949,273,116,216,204,446,593,474,890,398,023,721,731,023,180,873,708,271,
003,991,118,080,224,413,743,840,754,522,655,445,430,127,300,866,234,572,762,
180,819,306,272,372,560,965,956,325,716,305,167,728,134,477,502,741,496,058,
817,963,003,012,357,470,949,696,659,618,753,472,779,488,562,646,234,725,471,
581,779,838,106,957,993,411,342,677,633,181,280,933,878,505,599,445,069,132,
922,907,098,553,679,017,512,888,205,233,893,580,723,988,603,983,840,855,516,
878,394,892,929,931,574,870,650,838,008,039,603,276,146,205,382,697,079,789,
876,538,137,984,113,316,054,671,673,685,510,853,809,934,081,260,755,700,022,
652,839,073,518,222,390,182,093,865,164,951,806,391,202,019,184,805,218,118,
164,345,526,115,175,025,693,163,934,491,601,184,918,330,943,425,980,049,493,
765,110,281,530,109,558,989,859,588,817,873,655,516,521,221,817,143,784,184,
217,833,176,288,607,455,006,950,550,953,069,988,100,633,326,815,809,157,884,
879,544,970,699,931,742,935,152,607,212,981,751,375,746,884,651,036,214,571,
947,180,066,828,271,059,799,393,568,095,711,544,509,879,535,555,252,697,766,
510,318,764,944,025,663,779,785,850,116,537,952,666,184,272,241,472,793,507,
999,143,247,697,286,008,691,591,043,601,314,255,517,622,737,101,490,278,435,
029,210,205,123,749,460,878,738,306,921,567,946,479,945,446,642,906,460,941,
578,971,344,321,733,714,016,321,535,883,103,574,800,344,940,066,070,357,518,
778,583,223,079,695,134,444,221,968,031,137,341,211,092,254,771,746,866,622,
727,213,952,175,777,832,484,022,989,838,030,356,639,718,423,390,239,180,063,
302,598,424,984,771,591,291,634,185,527,925,339,748,372,825,197,629,018,642,
943,208,139,598,205,314,731,309,165,983,067,097,050,325,201,273,176,615,155,
825,121,361,739,631,796,416,432,738,658,144,429,310,636,558,966,467,622,984,
664,850,361,259,816,533,868,971,704,086,699,665,152,270,789,797,907,186,365,
248,607,600,631,928,221,554,442,163,112,541,610,942,611,161,912,683,111,773,
845,903,617,193,180,215,354,127,226,446,853,818,255,065,345,175,874,798,037,
205,238,282,122,371,485,376,601,947,994,618,230,115,068,729,169,432,330,861,
476,874,895,694,970,111,513,312,063,273,470,096,673,121,235,556,380,271,680,
140,506,320,530,407,710,256,605,506,231,160,078,173,102,799,541,933,070,428,
451,246,253,577,945,792,449,691,892,965,230,696,941,138,001,351,071,305,938,
777,033,380,888,704,533,931,952,191,728,572,410,835,449,787,942,114,010,668,
537,442,057,042,916,791,386,436,040,258,183,322,629,753,513,611,927,042,697,
944,171,859,296,130,666,928,704,538,017,284,728,486,786,640,132,971,509,402,
955,236,957,462,625,167,121,791,065,871,890,475,933,125,727,897,597,710,558,
442,474,687,950,383,348,062,238,884,779,650,430,704,213,961,618,848,722,395,
810,162,431,357,072,855,298,661,611,018,069,412,264,267,040,998,807,406,477,
309,823,469,473,889,593,807,689,645,738,226,523,332,165,087,013,148,381,684,
230,664,117,695,889,462,228,499,263,996,078,331,306,532,362,224,684,931,620,
962,170,831,626,703,740,157,722,800,343,775,096,882,971,133,969,452,135,621,
566,324,810,008,067,694,893,170,930,462,927,059,418,749,984,351,735,366,236,
077,474,738,902,984,171,932,937,032,114,450,660,751,726,218,591,706,165,726,
265,960,915,758,695,914,735,432,470,800,840,612,468,634,134,904,419,922,022,
797,667,187,824,273,461,918,252,590,337,943,637,794,579,959,750,350,811,762,
988,030,751,451,961,023,507,244,123,432,045,320,438,008,611,347,378,485,813,
496,623,956,254,219,457,936,264,476,311,040,575,176,843,266,640,981,813,599,
550,397,241,916,548,521,270,105,823,456,925,173,280,130,758,603,717,170,761,
491,407,687,130,596,716,115,986,076,018,838,671,769,212,079,289,849,332,038,
422,362,425,544,713,624,907,297,151,495,191,944,313,673,528,769,832,062,361,
289,122,333,584,848,260,569,262,228,199,988,544,547,079,349,357,945,336,976,
820,350,356,139,169,444,683,367,466,774,444,989,385,525,224,372,582,161,654,
812,726,616,990,265,733,303,831,953,454,016,595,191,912,450,553,751,426,294,
187,324,384,178,620,871,076,199,240,724,981,794,218,304,773,680,657,869,019,
228,837,588,115,706,792,693,190,791,006,616,830,517,189,525,001,182,737,668,
985,841,924,749,003,186,857,621,203,706,500,234,886,574,811,821,383,309,853,
970,519,414,228,731,613,229,884,274,871,906,078,787,011,893,363,768,083,369,
703,367,290,478,232,631,640,361,004,771,309,195,447,752,505,348,991,439,742,
634,326,357,713,630,407,285,203,625,144,694,037,519,080,395,862,477,753,841,
859,629,281,926,342,849,239,756,163,919,897,006,669,143,236,114,694,884,724,
949,619,598,118,036,506,623,882,633,535,669,051,474,199,748,977,836,915,822,
861,398,333,038,182,783,363,663,960,241,019,997,811,269,960,173,900,490,064,
282,166,168,122,806,779,529,972,435,740,176,619,213,474,385,796,680,134,797,
978,933,440,971,904,418,703,451,733,981,887,753,003,967,699,944,640,836,185,
816,485,845,590,547,611,053,397,711,282,962,789,300,886,708,535,253,516,300,
304,306,928,201,650,583,529,537,343,236,360,652,073,526,628,921,017,885,286,
225,738,741,165,119,947,591,696,449,275,073,009,830,504,823,346,712,311,124,
022,616,974,862,956,748,078,115,763,117,344,490,921,632,966,592,749,772,749,
151,051,620,081,112,538,840,405,572,316,120,470,157,257,943,622,985,808,649,
091,512,477,311,169,762,475,427,722,348,419,388,307,460,187,964,063,844,230,
957,893,438,632,357,158,989,325,190,712,611,005,892,034,612,844,947,405,549,
460,364,157,662,969,804,233,566,797,435,306,458,262,238,319,982,423,698,848,
612,201,889,212,890,796,580,731,597,298,403,873,577,645,231,574,605,698,415,
872,696,973,165,976,886,208,963,770,331,363,283,141,341,403,714,647,686,049,
971,964,472,753,170,334,538,948,818,699,705,503,345,279,072,824,690,579,077,
954,355,211,512,154,213,566,462,795,327,982,592,786,492,646,682,614,391,015,
374,794,000,826,783,877,927,869,016,413,866,697,602,863,843,295,534,293,688,
399,508,430,391,533,663,612,219,523,397,575,398,406,584,685,186,137,446,334,
542,336,626,748,878,438,750,696,751,042,092,312,654,550,585,607,173,051,216,
805,482,689,636,672,516,758,821,907,267,369,027,008,200,531,497,406,162,119,
920,868,598,547,881,232,430,524,561,346,237,738,783,982,460,129,148,180,494,
855,902,677,712,813,549,366,747,734,378,703,334,301,299,029,319,741,095,674,
400,718,887,060,268,134,814,585,142,222,517,299,338,198,066,397,683,267,192,
879,544,408,789,714,858,672,934,230,795,406,401,688,338,465,513,561,141,081,
447,423,679,267,801,800,194,531,728,606,206,396,496,546,828,158,552,852,795,
448,888,627,793,795,059,957,534,168,695,569,604,584,956,211,814,729,468,084,
949,665,131,318,527,372,613,503,089,103,954,089,313,194,630,538,038,082,507,
117,255,082,003,597,808,502,837,790,552,562,042,873,456,260,945,116,541,472,
158,999,281,655,450,824,018,142,791,890,960,554,289,654,823,578,744,801,927,
867,227,987,847,050,848,678,596,532,619,243,281,083,363,836,446,689,917,407,
880,671,714,906,796,417,568,483,093,492,522,365,542,626,860,815,426,896,634,
949,335,544,115,013,661,645,710,705,478,274,402,607,922,627,227,269,988,628,
515,052,490,006,801,868,595,650,632,859,695,347,488,816,237,260,555,141,326,
116,864,760,881,440,391,930,183,813,066,421,801,578,050,942,758,885,398,000,
096,320,886,113,399,906,881,047,832,270,212,086,360,360,038,770,803,422,362,
989,954,463,176,435,079,197,051,154,424,881,481,626,387,501,437,399,980,161,
853,514,421,691,247,656,767,900,411,787,455,854,040,053,814,069,237,267,079,
100,774,600,368,965,221,115,777,192,637,563,752,727,144,204,508,120,362,994,
283,802,377,950,030,583,840,104,913,138,731,553,982,021,436,727,081,014,873,
774,240,492,317,603,437,785,919,972,200,740,450,434,265,924,719,771,444,267,
974,805,495,270,297,658,275,255,089,900,343,330,150,732,453,905,839,587,768,
030,742,861,517,644,871,018,264,729,345,648,252,460,420,359,003,504,234,202,
915,425,520,646,714,574,790,653,943,431,264,658,462,146,934,668,571,011,857,
090,992,132,666,255,017,536,400,819,710,934,088,481,434,933,054,337,339,174,
930,576,678,740,453,012,727,992,048,276,858,198,959,429,377,343,335,449,945,
923,879,162,644,842,994,661,037,551,965,700,335,636,867,182,568,942,585,102,
212,752,129,324,711,092,094,829,853,629,126,417,290,269,760,777,954,286,640,
903,683,987,647,277,832,102,982,468,917,011,432,914,658,134,715,003,854,369,
963,566,625,918,957,105,912,486,963,088,958,938,814,851,063,333,297,045,289,
950,044,382,053,781,442,045,131,932,684,234,343,144,605,911,827,861,512,538,
929,560,520,482,595,437,209,041,223,496,563,529,864,431,305,293,934,451,697,
132,101,740,169,884,873,932,414,581,106,747,789,769,791,539,845,972,222,681,
124,096,239,847,098,143,110,048,482,715,824,465,344,655,294,835,961,285,091,
367,385,774,286,054,689,703,429,578,907,115,383,552,112,812,660,030,194,135,
881,189,631,185,036,304,853,884,580,994,906,798,233,227,717,234,753,077,838,
106,134,604,244,271,640,474,450,312,494,885,949,916,578,570,029,390,130,674,
345,465,538,447,969,837,177,168,083,755,183,818,029,930,291,911,119,282,851,
961,481,076,633,087,335,500,290,038,388,682,988,338,850,152,392,222,219,988,
829,434,810,635,533,097,402,669,587,905,180,999,587,084,880,465,806,872,228,
639,195,217,676,126,158,699,635,979,054,001,742,232,523,449,464,422,508,815,
630,492,041,531,972,377,076,115,084,004,152,997,045,698,595,942,403,736,981,
673,893,852,222,228,288,758,373,010,042,077,309,123,544,599,334,859,215,070,
485,998,745,676,674,692,821,262,291,670,100,567,128,245,283,561,545,818,219,
961,212,811,769,755,404,876,763,768,659,121,299,730,619,727,110,963,334,398,
514,771,523,937,980,502,572,619,559,093,162,642,175,202,118,702,028,754,562,
497,948,735,977,860,670,432,112,920,706,634,932,715,604,290,615,692,297,401,
712,942,298,362,651,114,392,467,699,907,525,182,086,565,268,506,653,039,118,
033,266,053,295,059,873,905,099,897,417,804,149,292,740,259,288,636,125,154,
229,385,644,677,175,913,139,983,825,573,819,970,019,992,950,347,372,626,213,
440,564,101,753,525,764,490,032,850,784,069,752,529,087,886,332,506,142,099,
884,739,165,689,049,501,201,967,157,981,600,482,194,160,483,110,473,338,084,
528,250,172,823,398,795,015,753,553,543,757,800,361,840,991,455,576,298,474,
705,902,885,121,233,239,566,441,387,618,214,905,226,819,990,934,367,071,359,
821,515,039,778,231,389,655,370,380,084,073,167,160,109,426,863,636,530,280,
055,945,813,588,587,011,830,364,009,483,993,155,083,480,689,206,987,071,399,
731,332,792,464,751,021,391,343,067,727,359,621,086,331,381,059,194,946,259,
734,102,762,702,828,727,091,202,293,794,327,876,398,560,326,748,543,516,303,
284,124,076,298,110,034,202,521,373,451,933,081,012,867,535,416,993,326,301,
077,787,275,147,335,187,478,975,910,681,925,680,578,815,111,536,891,837,551,
848,248,073,618,846,326,253,709,020,991,924,645,726,742,925,420,648,208,344,
454,107,982,923,444,830,006,386,406,536,254,781,960,079,200,149,550,158,198,
249,937,878,317,092,182,927,967,512,983,070,034,155,254,313,598,129,345,077,
263,269,973,042,472,240,211,641,630,002,244,780,619,595,415,334,064,117,038,
317,752,939,979,170,341,902,405,322,474,107,736,937,794,682,199,501,877,461,
528,171,931,709,783,916,459,800,463,703,479,421,132,268,939,202,336,955,440,
974,049,197,574,516,197,228,748,704,759,812,208,617,842,075,723,700,835,105,
651,575,254,727,656,537,722,109,107,631,483,306,210,436,934,689,615,447,399,
796,808,729,201,780,319,589,403,231,634,329,404,195,218,886,634,514,068,433,
200,603,655,500,073,148,491,434,402,439,302,443,082,575,145,645,885,485,896,
648,074,246,215,071,526,320,574,329,326,659,871,798,300,078,144,595,611,581,
464,968,904,504,530,827,448,706,155,632,391,611,511,903,292,743,793,993,765,
667,430,151,478,723,147,134,541,110,371,380,503,715,138,383,337,512,698,648,
142,540,329,723,865,242,453,153,687,111,953,273,142,216,143,115,067,326,487,
452,358,368,458,822,220,629,794,828,411,571,577,161,972,953,477,389,574,198,
846,385,332,896,705,425,199,649,545,282,796,263,984,629,938,092,832,520,758,
982,268,231,032,084,549,988,290,983,783,452,706,009,581,469,363,530,721,542,
031,464,659,179,834,455,533,495,128,331,629,309,161,178,296,041,509,348,443,
803,405,496,996,000,107,090,553,124,401,042,051,742,672,528,585,710,049,878,
330,879,622,024,883,343,279,340,055,332,388,809,720,682,146,343,167,868,668,
814,413,632,690,158,933,412,859,288,851,485,869,364,486,246,770,899,095,318,
841,548,316,557,010,377,513,090,697,728,274,590,337,561,515,368,925,435,404,
266,018,715,241,427,879,824,443,716,937,569,546,910,714,240,596,679,053,127,
038,674,325,642,725,681,895,434,165,460,294,448,128,304,510,612,248,154,450,
745,024,466,962,991,808,809,321,365,331,977,462,532,586,264,297,261,197,072,
338,003,020,657,057,618,205,905,525,382,159,541,072,276,832,625,411,247,522,
990,415,467,873,364,171,856,423,337,858,170,018,179,503,329,456,423,125,171,
667,420,868,900,740,422,669,082,947,381,564,984,536,902,699,645,355,003,232,
044,499,577,659,373,928,994,074,232,360,333,709,257,958,735,542,816,031,082,
594,667,707,781,122,187,256,560,926,079,129,801,474,889,225,422,743,671,753,
594,226,773,198,991,803,388,880,354,384,368,731,910,092,581,216,261,332,410,
100,058,489,796,598,037,272,865,640,638,579,784,696,541,194,303,382,159,843,
523,846,808,256,669,044,035,753,238,884,036,312,840,756,188,385,186,094,174,
853,076,530,905,365,678,660,860,697,884,201,401,319,025,150,382,800,138,230,
516,055,750,319,993,124,232,623,859,848,915,326,440,682,596,679,762,997,287,
692,377,130,825,862,143,715,956,217,956,150,004,616,915,252,909,701,031,644,
086,846,415,513,338,539,999,299,935,025,039,923,429,707,776,483,696,007,417,
510,338,412,081,721,809,253,137,731,118,208,257,556,663,805,210,622,394,159,
029,912,007,862,415,725,541,976,829,951,346,502,989,286,173,771,402,764,163,
700,782,179,532,233,188,562,106,254,205,011,906,635,447,867,755,227,113,725,
105,526,809,273,560,133,965,551,607,355,544,035,521,881,772,410,334,283,325,
791,549,056,094,203,385,049,264,278,549,412,149,319,609,576,016,377,543,324,
479,319,023,149,577,144,781,501,236,042,961,441,503,316,427,127,306,574,728,
132,415,691,300,860,747,782,375,994,626,519,975,933,384,135,873,900,189,768,
882,643,358,276,027,221,933,888,637,988,894,532,711,590,684,678,995,653,852,
623,147,900,954,145,394,164,720,534,065,402,572,625,094,172,509,660,200,579,
419,577,199,340,495,315,693,542,615,781,887,944,007,735,736,337,630,957,699,
170,252,529,313,934,535,451,866,890,699,189,129,907,722,583,725,574,592,774,
493,230,678,020,355,019,125,373,993,663,929,853,970,383,430,390,933,373,142,
750,976,620,173,924,658,164,499,479,567,663,951,071,643,277,767,641,344,695,
265,829,284,501,488,716,531,922,491,969,158,755,171,705,409,525,428,863,651,
289,962,756,448,269,324,351,173,680,250,899,833,112,363,389,003,142,127,438,
653,721,568,166,845,352,524,835,176,121,021,637,616,128,165,720,342,393,798,
442,431,448,314,555,425,366,544,725,824,159,412,624,827,309,584,516,014,188,
825,834,474,815,414,149,344,027,114,271,081,372,450,026,062,281,442,138,139,
031,318,178,345,223,214,130,507,089,397,393,310,526,148,982,858,005,293,265,
675,375,740,967,743,761,211,993,584,110,204,685,165,925,425,615,978,584,965,
895,538,491,351,451,543,958,418,029,265,965,983,675,937,714,796,265,947,441,
522,648,448,574,498,263,903,106,166,911,536,693,490,432,361,531,939,390,749,
682,638,683,908,136,262,175,762,247,683,501,512,353,027,694,825,405,450,922,
490,804,259,660,499,080,936,140,703,000,011,859,286,948,234,071,809,122,764,
790,427,796,507,716,196,740,610,693,623,428,795,397,674,271,621,091,941,393,
323,255,937,116,862,705,524,336,457,179,044,414,079,797,829,874,892,946,959,
775,107,480,072,355,284,539,043,040,914,772,696,758,857,665,583,492,215,041,
016,564,912,940,192,127,555,604,478,897,738,121,727,897,900,893,841,120,458,
810,279,742,283,799,852,114,304,624,338,485,753,017,641,646,482,569,451,829,
477,381,665,103,710,732,766,794,088,657,426,661,673,919,820,738,474,506,532,
759,426,675,108,493,444,205,441,106,091,724,984,565,018,373,027,010,952,915,
112,353,682,800,688,597,328,589,280,953,075,866,439,203,919,741,755,417,369,
531,905,253,788,829,030,790,047,116,175,430,356,168,305,315,131,420,434,926,
585,274,704,195,095,119,183,584,805,509,634,894,975,889,293,592,480,085,727,
534,796,869,422,670,327,524,843,693,564,723,873,713,386,191,802,361,536,295,
288,987,291,709,139,730,410,113,977,818,055,315,489,893,284,462,757,550,299,
346,201,740,135,709,316,730,148,184,904,962,694,587,669,775,236,774,801,082,
034,650,176,852,586,856,367,156,976,647,582,900,903,201,348,558,231,358,357,
425,253,504,428,020,883,881,736,749,475,090,871,656,357,419,229,080,635,044,
707,756,821,999,370,615,631,262,888,105,619,220,170,079,435,830,921,001,609,
442,964,738,700,865,317,650,592,190,327,434,074,500,752,279,295,073,057,792,
138,513,859,764,652,259,524,057,832,213,680,274,121,943,336,329,763,530,304,
512,089,450,838,838,557,805,614,734,092,873,644,962,832,757,033,620,537,827,
594,907,103,414,251,540,270,987,369,827,806,420,830,624,807,998,325,114,157,
587,331,457,072,305,011,745,281,067,948,780,543,289,121,170,007,527,152,247,
641,164,816,555,958,502,614,872,638,523,384,374,213,192,072,902,416,175,265,
029,954,540,211,490,137,004,410,843,188,882,823,840,830,902,528,715,861,228,
925,726,558,551,849,662,276,168,230,821,721,019,867,073,657,174,381,996,194,
484,287,157,202,575,383,234,755,843,959,250,910,715,785,975,044,942,133,777,
703,879,508,811,829,318,779,374,620,224,502,174,673,797,945,888,940,967,584,
920,996,042,822,913,026,220,273,860,052,365,013,684,332,394,120,346,217,944,
435,667,310,193,296,869,838,409,810,115,563,553,757,276,267,772,556,372,689,
242,799,842,084,824,770,727,318,369,394,072,033,190,923,198,425,846,979,583,
887,792,254,134,227,694,645,591,882,223,687,768,016,882,334,322,773,980,707,
927,753,944,784,393,206,510,737,990,906,003,816,390,998,210,655,730,315,812,
204,745,749,007,654,070,876,974,361,003,540,153,972,591,661,755,672,499,022,
939,979,075,425,272,770,002,889,463,235,003,681,651,145,126,913,588,398,501,
090,474,598,622,127,207,493,267,841,318,635,197,323,993,900,785,481,488,583,
904,408,540,461,165,861,614,611,387,845,231,017,935,456,643,438,157,564,239,
382,134,499,690,316,918,582,871,132,927,975,020,187,843,325,982,659,332,350,
509,732,153,972,200,272,959,194,857,939,710,642,857,587,004,179,094,550,627,
297,020,535,491,642,422,371,332,488,130,543,492,287,236,055,898,624,017,989,
072,112,554,956,134,679,123,055,841,186,720,556,425,545,859,730,084,044,102,
446,581,101,508,389,248,180,915,797,601,358,040,743,960,188,789,778,445,681,
972,443,248,381,722,943,427,885,457,696,270,558,761,447,632,495,803,954,278,
980,121,025,671,393,888,579,687,182,746,187,587,457,559,283,107,326,025,982,
903,059,195,192,578,051,415,673,703,633,184,032,506,006,548,018,074,429,511,
471,547,993,832,728,335,547,031,111,615,618,843,213,231,350,381,482,685,758,
775,395,489,923,232,636,946,464,946,787,336,262,495,976,110,786,169,106,079,
066,056,505,909,962,483,572,764,421,198,775,715,335,015,636,299,760,776,964,
475,782,748,877,574,185,625,716,396,942,122,026,397,338,201,072,105,505,732,
220,226,387,265,933,366,420,537,582,311,904,713,601,772,847,121,439,468,971,
225,948,410,392,659,150,588,929,317,401,763,115,588,118,503,995,782,627,638,
667,399,130,419,909,061,605,306,985,613,344,278,209,198,731,412,794,386,039,
376,325,512,933,098,078,537,830,371,494,587,790,755,384,218,718,347,265,859,
059,662,638,662,839,532,245,527,890,104,126,953,380,162,011,073,053,653,453,
259,970,576,757,209,801,392,966,428,985,167,656,385,211,535,669,442,727,361,
914,232,064,675,099,843,265,244,503,224,301,591,063,477,984,433,602,140,467,
918,710,022,060,329,130,642,531,795,052,494,578,546,570,842,308,220,054,544,
182,622,456,104,318,789,929,642,983,787,806,610,470,344,646,422,349,054,958,
220,593,146,531,212,790,182,048,355,873,388,406,297,710,259,470,176,765,988,
642,538,262,373,112,620,575,555,828,018,176,771,817,154,731,702,865,451,818,
746,539,835,984,230,614,620,634,703,890,664,152,898,482,062,698,490,998,919,
768,222,370,884,031,425,941,810,032,427,451,528,956,506,153,281,196,027,705,
303,658,210,428,960,743,741,035,288,409,944,835,009,621,213,308,886,978,223,
730,828,226,795,101,971,035,871,789,444,965,966,902,497,897,716,608,999,576,
613,660,295,686,892,893,436,994,661,444,714,915,445,814,162,193,187,639,234,
502,480,966,080,192,055,386,273,533,497,077,232,564,115,777,427,606,971,449,
000,909,843,757,486,229,078,166,431,945,340,792,127,204,196,950,295,572,658,
084,800,528,499,930,434,773,755,651,128,441,822,259,379,718,684,953,050,748,
225,828,179,074,467,093,963,281,905,010,027,442,946,817,060,991,231,924,346,
199,336,612,710,334,976,754,369,041,707,132,552,613,252,424,164,210,315,750,
862,589,615,438,699,486,460,142,898,903,831,094,704,124,306,585,410,350,317,
434,946,201,997,546,604,294,300,450,875,258,390,003,331,163,735,986,785,217,
269,244,757,090,878,801,746,403,438,700,481,984,121,883,601,955,381,739,754,
008,490,272,736,427,681,566,591,311,751,886,516,924,379,633,906,074,684,417,
229,195,306,917,029,696,511,826,140,084,863,722,003,260,042,540,987,454,768,
514,001,301,447,361,064,109,323,348,110,734,769,056,874,886,908,887,291,351,
012,220,104,914,615,439,583,431,417,123,094,813,966,790,366,876,205,627,825,
714,115,723,281,545,023,121,654,600,800,933,030,038,182,706,819,466,160,346,
561,857,537,287,863,530,602,257,921,828,241,951,970,418,666,970,558,658,753,
538,774,908,250,306,750,677,521,649,439,207,030,154,112,158,149,560,550,553,
579,205,844,000,013,488,296,497,261,342,369,556,460,294,447,216,604,167,013,
767,586,532,593,147,472,856,097,031,762,168,475,082,950,386,818,368,294,602,
875,626,570,117,848,495,234,067,634,127,321,886,431,313,834,713,615,169,549,
151,139,500,138,625,751,469,518,927,801,177,137,358,342,062,559,477,928,211,
714,781,293,746,845,020,856,534,864,025,238,105,022,715,705,721,659,726,730,
785,200,448,196,411,616,757,544,954,789,145,410,056,575,378,534,150,319,695,
805,480,740,722,715,668,685,124,630,984,537,044,809,530,611,595,639,388,937,
262,711,463,146,619,610,116,722,595,264,081,889,963,253,069,835,395,549,178,
582,485,807,873,892,483,926,518,507,573,921,678,898,236,012,193,799,341,593,
033,389,045,897,260,304,843,874,182,888,491,245,535,821,881,576,182,133,981,
546,817,092,628,547,804,580,520,389,771,195,863,374,372,439,255,168,036,562,
895,195,172,124,873,675,754,911,307,928,774,399,244,996,011,986,904,435,841,
411,073,503,118,819,166,883,240,714,547,547,370,397,542,627,363,633,639,696,
318,185,144,899,633,812,322,128,518,438,401,205,866,134,506,860,947,401,907,
269,208,052,468,066,778,745,888,334,114,377,541,559,764,520,715,862,074,402,
455,356,588,913,408,269,481,362,520,474,033,737,615,275,618,553,888,184,828,
822,912,063,103,335,000,485,466,798,346,322,279,209,042,459,768,013,975,993,
973,079,055,971,510,095,187,095,670,030,821,297,116,162,312,476,521,123,972,
472,767,652,652,995,818,237,842,734,547,117,746,269,079,431,974,530,431,475,
313,375,806,215,996,327,288,176,807,256,637,853,299,195,149,440,575,516,225,
302,727,536,777,195,996,130,092,351,796,750,229,461,471,696,811,951,948,930,
486,960,094,210,532,914,825,055,651,196,514,976,758,970,966,169,214,387,683,
851,090,575,062,587,724,817,376,169,136,304,057,872,101,359,588,568,119,954,
007,062,081,355,059,640,709,336,788,615,447,493,360,055,386,390,715,245,149,
719,699,655,155,263,770,333,500,663,818,810,308,680,001,227,529,473,727,418,
353,617,011,637,948,787,832,353,801,516,401,608,249,469,325,348,687,557,888,
144,547,695,387,380,028,931,527,268,237,104,536,726,048,692,779,840,003,616,
532,050,518,435,594,598,431,462,681,176,690,732,034,350,838,264,144,963,195,
112,321,795,611,920,894,877,887,757,785,405,220,803,839,465,861,891,051,367,
402,026,235,662,044,457,823,328,336,497,707,208,807,492,590,059,158,579,001,
094,571,377,480,329,964,373,159,327,433,178,222,387,833,817,830,431,126,308,
371,296,583,009,565,470,908,627,882,602,478,358,033,306,059,449,130,744,795,
277,832,119,305,448,700,549,520,299,988,764,552,980,484,981,112,734,017,377,
196,281,566,286,882,216,251,770,599,214,632,816,196,485,790,104,929,309,295,
764,140,516,727,406,678,897,490,486,160,890,250,389,945,709,148,763,335,133,
294,393,384,924,414,454,036,517,478,646,835,779,301,787,631,971,336,471,142,
776,116,271,874,614,482,058,071,135,270,145,957,200,393,886,346,185,331,008,
916,849,029,170,391,219,932,823,161,863,916,792,400,168,453,886,522,595,977,
016,095,706,308,523,787,094,700,553,841,229,913,130,996,093,117,135,503,391,
858,723,406,322,983,769,197,647,559,215,757,976,847,588,119,830,625,801,475,
839,841,128,610,481,775,974,546,218,148,443,038,234,205,519,869,472,879,937,
846,221,380,193,731,935,397,642,109,589,401,723,417,032,797,260,988,483,533,
361,017,852,299,540,821,440,101,625,210,672,585,626,675,522,117,955,875,382,
720,952,535,399,336,874,359,048,386,897,624,284,240,202,852,560,769,628,642,
031,160,963,246,196,335,727,023,526,780,302,208,092,439,922,184,831,683,626,
577,190,348,657,379,832,782,259,288,263,030,098,831,346,313,358,866,840,514,
979,125,001,878,672,817,361,170,583,945,566,750,725,674,467,425,788,096,282,
556,418,751,584,193,157,481,271,808,555,402,486,717,078,413,512,629,652,232,
528,532,558,787,763,714,345,755,190,052,816,519,134,177,013,074,139,138,092,
673,460,474,616,419,759,970,546,896,648,991,590,232,737,544,428,335,388,412,
782,977,767,204,356,271,763,025,275,950,441,367,669,253,391,495,044,512,723,
934,036,907,759,381,046,843,506,261,466,812,293,824,631,577,540,175,895,150,
066,758,761,367,897,886,434,379,589,198,573,868,716,016,294,171,603,383,939,
386,589,793,411,141,261,934,055,161,575,936,803,377,736,365,854,172,868,127,
786,194,734,388,303,127,999,560,855,241,219,434,653,499,152,220,248,778,464,
670,791,611,883,414,655,761,899,736,375,334,762,437,661,532,604,854,376,849,
330,899,558,702,823,255,637,303,747,843,866,080,907,113,676,119,895,481,684,
558,863,967,235,212,702,479,598,505,314,486,131,633,290,735,518,570,949,166,
554,042,864,454,601,506,173,797,461,542,061,423,139,233,008,654,988,343,714,
900,025,179,775,523,808,075,352,387,056,008,133,756,633,107,479,602,512,104,
138,322,769,928,269,870,538,234,451,348,974,148,092,140,337,905,950,633,038,
707,791,225,297,285,308,506,683,043,291,754,061,089,649,957,329,455,849,301,
891,561,637,868,807,732,988,425,443,367,305,616,540,462,885,307,901,264,136,
094,436,452,738,417,176,358,488,348,214,387,041,577,838,752,668,544,263,164,
796,066,240,524,738,543,150,459,359,388,759,324,268,011,736,333,184,276,675,
986,193,952,695,288,935,620,863,269,566,972,278,306,925,982,601,407,551,597,
546,514,181,393,234,793,609,043,263,565,230,289,525,913,284,078,187,651,990,
610,887,413,897,844,201,509,152,273,336,667,724,012,079,515,816,134,051,141,
224,405,087,133,877,363,983,476,700,023,275,267,158,652,273,622,788,638,646,
928,683,237,159,543,753,482,324,317,925,368,158,577,016,139,424,307,673,512,
853,501,850,933,401,698,833,200,392,829,506,078,086,445,271,103,063,854,277,
243,335,879,107,101,299,964,116,014,324,351,771,674,163,695,845,198,241,445,
463,644,839,365,319,366,334,265,783,946,506,552,709,472,485,197,159,928,621,
429,753,063,719,342,269,267,557,727,771,433,577,601,549,259,552,813,540,668,
604,129,047,791,091,515,613,802,162,593,655,687,847,845,623,142,531,611,895,
616,227,576,301,925,960,541,701,459,320,746,939,172,021,895,013,137,062,664,
350,140,253,569,797,354,300,876,210,705,976,073,382,967,884,322,227,437,235,
907,024,839,831,118,851,413,083,526,554,189,757,021,326,205,175,128,091,528,
224,891,936,734,055,680,631,884,563,667,069,292,118,900,762,949,664,054,958,
662,798,061,797,871,932,130,978,001,896,207,653,685,760,246,337,904,480,485,
050,869,499,500,479,740,361,386,519,671,683,846,939,032,013,691,938,554,533,
220,560,093,840,428,200,891,643,920,990,422,643,939,557,112,818,691,854,556,
756,586,135,892,421,288,242,259,001,348,802,064,709,417,491,330,465,410,625,
415,115,656,406,931,310,811,772,032,503,337,421,583,258,735,238,251,768,637,
136,244,084,816,003,360,561,324,492,146,655,046,000,087,513,581,300,468,941,
951,269,776,537,244,150,600,343,710,655,840,632,624,092,885,760,927,314,033,
391,481,966,085,822,100,181,113,377,504,349,091,615,521,183,889,413,695,262,
459,997,851,560,609,165,213,647,974,960,924,919,494,323,348,028,764,795,975,
181,801,384,604,213,275,894,035,968,788,313,007,417,419,810,483,332,242,111,
416,286,419,065,416,302,717,028,372,863,833,559,100,690,775,332,072,164,474,
676,122,774,942,335,205,166,972,899,450,568,858,033,808,213,350,607,082,037,
442,133,490,605,820,381,760,333,589,427,342,134,273,105,847,296,531,203,810,
692,327,684,994,795,449,373,042,211,849,066,609,908,575,898,433,028,512,300,
947,805,209,582,221,825,328,952,051,417,313,549,794,562,672,131,465,475,585,
708,356,093,999,751,020,340,655,392,643,211,926,160,387,546,370,604,629,185,
959,094,851,985,393,618,617,022,857,221,211,865,982,934,866,323,823,685,920,
799,019,823,249,900,929,437,400,537,839,400,120,666,074,078,988,626,204,309,
276,314,639,231,791,884,670,416,856,844,999,029,875,123,215,792,625,483,548,
169,802,419,905,231,545,002,647,155,625,414,003,728,970,717,094,492,247,496,
567,058,219,618,677,842,640,938,296,866,771,706,291,705,077,137,427,267,998,
128,549,016,559,925,665,128,799,405,917,808,245,145,653,597,901,676,030,973,
892,080,587,974,653,726,805,923,387,376,312,897,410,053,674,162,000,836,731,
429,975,254,121,782,700,499,326,510,384,495,292,282,476,964,202,228,595,516,
638,179,214,712,629,398,964,336,365,058,936,118,729,024,674,736,593,863,854,
497,194,347,369,139,515,732,215,948,905,803,828,035,922,454,293,992,533,500,
606,405,496,864,555,677,971,113,308,706,140,698,039,189,456,773,887,051,338,
741,650,351,118,342,076,668,028,642,457,570,926,744,631,443,402,803,509,727,
519,371,226,004,007,040,107,354,380,800,036,902,316,629,321,794,858,214,105,
571,686,311,801,250,489,320,190,480,786,592,544,946,765,120,655,958,097,826,
275,269,005,355,119,195,088,068,474,940,273,859,463,398,312,021,573,125,236,
472,324,399,742,274,595,570,585,457,127,827,960,091,858,853,000,442,733,106,
397,883,178,498,901,075,419,869,584,984,309,287,374,962,862,415,122,140,446,
202,223,639,685,737,590,988,699,554,324,623,873,306,691,228,656,100,536,275,
532,765,251,455,199,446,048,714,827,524,766,596,506,922,715,734,761,749,825,
240,987,374,325,399,820,595,923,322,332,999,878,506,731,829,477,345,483,679,
665,915,246,536,445,540,001,400,190,303,918,194,806,416,860,014,803,587,802,
667,453,939,841,007,708,754,690,201,313,638,919,897,595,346,417,131,514,320,
742,166,013,245,895,362,348,666,720,655,744,206,450,160,286,333,242,112,838,
012,521,116,213,939,314,186,547,167,341,292,542,220,038,862,689,032,257,206,
618,642,025,558,193,512,154,418,693,713,613,427,161,389,606,943,273,159,885,
762,264,377,604,729,229,783,361,963,985,473,396,791,948,236,807,932,268,801,
383,888,863,788,635,968,980,540,633,448,680,873,475,856,772,438,211,420,121,
913,075,909,738,794,886,633,674,822,113,957,401,831,881,705,276,555,651,877,
934,079,611,802,090,673,076,403,460,675,446,611,865,738,888,760,673,901,092,
225,531,766,940,073,921,287,105,601,332,526,803,874,983,610,823,205,714,525,
808,749,131,322,092,632,923,725,479,309,064,379,492,172,198,136,052,316,304,
171,132,334,101,272,198,952,733,500,994,696,852,549,857,152,025,491,714,920,
384,802,628,924,538,524,945,234,112,871,633,293,126,616,977,788,509,740,358,
575,885,161,947,662,057,859,701,895,162,314,275,975,816,146,061,210,940,504,
807,248,217,436,224,785,379,887,619,667,759,880,931,552,347,701,620,607,486,
003,369,518,699,758,419,729,300,756,301,326,244,959,612,840,278,513,035,948,
623,441,790,220,440,585,202,612,895,992,407,273,891,596,514,101,411,216,801,
281,205,854,341,697,542,878,940,954,703,619,329,872,672,475,125,419,050,246,
995,712,048,844,806,488,156,850,539,601,365,679,203,171,498,082,828,900,337,
204,786,225,532,557,372,917,650,503,079,186,500,286,719,155,310,140,151,471,
681,381,026,070,244,988,374,887,003,501,825,847,198,549,019,079,571,299,044,
718,987,679,999,752,830,484,178,939,777,316,433,419,012,263,551,837,439,169,
747,623,582,165,456,187,752,944,368,802,935,558,036,835,644,567,539,340,377,
091,482,204,641,409,503,361,638,618,789,708,555,235,571,352,147,372,896,105,
319,846,370,455,253,166,923,539,649,651,441,309,657,502,937,723,052,694,861,
904,468,724,309,458,310,980,195,732,348,334,395,224,076,504,279,268,220,249,
587,223,178,756,941,972,843,703,747,407,242,638,219,191,808,274,675,322,908,
732,220,295,802,491,469,298,752,937,177,276,466,603,436,775,351,257,890,010,
121,104,969,156,641,382,320,347,101,985,430,571,935,384,081,574,873,548,173,
459,734,998,252,719,261,910,630,925,053,476,022,676,064,503,833,297,302,221,
686,234,181,754,299,556,297,580,661,623,786,253,645,244,197,913,202,509,893,
644,824,794,815,460,319,651,337,669,879,150,601,182,801,845,635,413,299,234,
850,277,178,793,453,841,420,505,556,721,393,412,188,870,011,152,545,216,674,
462,757,604,800,438,813,702,062,257,939,744,595,877,859,034,002,461,258,680,
483,712,329,450,571,612,449,464,246,044,970,035,772,814,809,934,733,416,280,
094,282,534,307,687,030,188,383,842,504,045,063,739,473,379,189,360,989,286,
837,571,578,321,227,015,840,946,008,653,601,165,324,031,993,880,657,107,352,
221,467,087,177,433,988,341,634,251,430,861,542,000,123,450,649,009,439,507,
305,051,875,248,555,931,320,042,889,259,834,711,956,157,241,459,588,374,622,
986,879,636,889,840,388,217,489,484,588,513,604,568,024,338,305,948,827,535,
052,460,828,289,385,671,375,777,877,085,910,791,557,637,098,572,109,960,335,
012,996,631,820,124,867,814,208,539,872,009,133,119,498,350,414,570,496,587,
653,910,173,862,422,947,912,025,128,469,458,309,678,666,491,369,413,486,391,
085,839,074,576,639,204,498,393,594,233,317,262,943,378,771,951,568,173,692,
993,501,164,738,969,960,086,644,789,841,927,850,936,139,272,801,550,469,052,
310,574,129,679,519,504,618,896,142,920,925,509,009,419,122,953,785,968,695,
289,413,404,189,383,433,252,335,212,190,098,439,004,267,760,865,710,658,070,
709,360,581,249,635,849,258,587,046,651,480,219,422,312,169,335,412,590,116,
104,368,453,608,503,275,248,805,965,158,616,260,791,737,225,251,074,995,174,
936,899,112,549,969,659,313,007,872,797,693,041,138,960,591,490,509,169,800,
763,579,826,234,494,569,458,317,564,639,573,890,860,741,538,799,041,907,877,
432,308,908,849,439,042,956,618,219,630,050,686,592,627,601,427,798,567,006,
936,079,950,527,523,996,464,252,143,365,000,987,907,655,463,187,877,609,811,
150,482,144,841,264,596,711,952,897,436,452,133,296,872,835,130,172,698,884,
014,853,209,394,011,432,781,985,041,537,427,295,354,926,189,026,496,035,746,
712,283,148,841,009,840,979,273,548,192,497,929,896,815,895,873,261,242,822,
970,267,226,734,319,816,762,960,689,762,917,962,877,352,724,645,139,440,420,
212,296,913,475,285,694,060,150,716,370,779,784,332,173,690,031,380,571,343,
686,992,726,433,381,427,417,187,642,678,808,366,742,598,313,580,750,414,643,
850,839,235,698,946,986,047,800,390,483,887,217,117,984,838,180,154,576,836,
980,993,878,668,672,532,730,855,045,074,055,386,377,932,317,741,855,889,870,
419,298,859,447,535,052,990,657,992,578,377,883,231,750,597,111,828,941,575,
915,212,499,625,126,733,740,499,234,516,432,854,876,791,641,550,184,181,296,
336,830,406,819,774,907,408,052,418,706,713,310,838,518,862,655,188,742,961,
468,483,655,615,963,042,803,820,653,377,377,876,925,582,981,679,075,463,250,
766,218,598,647,874,349,320,874,764,519,292,064,796,149,696,763,116,053,742,
751,666,543,335,081,045,718,055,161,269,764,004,850,140,569,378,356,031,670,
313,192,434,215,387,132,196,835,043,540,146,691,652,763,948,331,732,104,570,
120,636,959,824,834,769,798,615,418,638,525,097,265,170,257,282,839,026,299,
671,317,479,555,334,537,553,189,951,548,627,579,882,578,476,101,454,171,155,
988,317,237,147,936,269,096,341,518,161,164,324,392,907,737,066,040,429,683,
906,589,819,551,422,074,909,937,083,240,990,483,747,556,868,901,898,720,986,
117,017,987,886,648,726,464,330,724,537,685,616,575,774,622,183,760,887,246,
031,263,484,390,113,652,748,273,599,431,329,521,008,376,719,387,699,343,079,
599,143,155,059,486,799,950,948,395,867,739,838,921,321,866,708,546,043,664,
147,981,941,491,719,011,950,449,611,803,318,672,738,694,389,850,200,417,449,
743,945,272,951,212,475,047,762,385,274,229,060,238,758,767,791,282,301,518,
732,333,187,998,341,055,434,779,448,153,011,628,200,358,463,726,689,455,767,
618,684,976,423,891,647,517,667,622,989,272,017,394,319,304,673,883,552,267,
922,992,078,706,229,026,982,300,155,761,398,649,057,448,127,309,080,982,149,
121,122,669,566,018,885,283,328,528,348,878,266,974,277,931,476,784,330,340,
092,302,374,213,310,444,105,905,460,704,054,628,392,391,412,427,703,943,912,
197,052,803,240,685,678,300,788,173,003,613,893,943,026,109,091,594,250,351,
764,924,689,827,224,696,259,687,390,943,770,491,495,573,164,492,496,822,978,
773,990,618,421,292,139,032,274,695,429,668,461,723,666,689,297,940,606,294,
569,509,672,330,690,777,413,848,651,324,083,228,262,684,579,196,779,029,241,
525,794,762,179,323,921,413,868,714,738,695,724,917,724,517,063,061,325,326,
562,069,217,106,050,832,303,496,501,872,529,691,507,877,962,958,412,970,109,
677,715,604,340,014,425,989,543,055,350,493,174,158,420,924,100,513,641,673,
591,982,958,930,064,086,386,549,984,105,630,312,085,676,438,572,249,940,519,
007,859,224,098,465,585,422,510,295,162,088,974,492,436,349,365,179,667,431,
390,834,022,247,406,505,826,254,329,490,007,227,664,068,389,064,702,216,584,
967,761,849,458,855,874,884,363,772,332,953,944,849,794,076,548,776,436,308,
988,211,660,932,507,265,239,388,032,692,195,623,713,727,127,024,897,221,622,
794,575,073,483,001,325,949,241,116,558,094,716,583,701,329,849,163,738,341,
992,461,804,210,378,200,994,971,330,080,749,916,596,970,983,573,216,051,711,
414,580,620,462,232,240,332,600,467,213,895,749,958,561,598,306,135,886,021,
254,390,093,980,849,746,311,409,180,842,758,548,013,250,588,351,870,502,182,
716,153,678,267,038,016,937,541,857,636,762,261,545,792,943,128,464,549,933,
877,465,558,808,694,727,926,739,848,067,690,003,041,304,508,316,631,590,419,
210,812,321,694,358,571,065,805,743,456,941,704,038,949,921,922,762,171,814,
742,008,693,657,367,048,995,244,337,762,070,191,731,631,567,193,110,674,944,
179,552,830,441,701,815,459,894,814,916,007,805,409,365,450,986,613,454,964,
431,222,236,636,803,845,956,865,036,117,119,214,709,648,316,471,249,702,297,
547,483,771,621,203,800,172,821,304,342,360,564,982,132,243,483,988,718,053,
494,478,030,192,701,822,638,264,343,044,523,505,614,828,703,492,767,357,947,
020,049,209,274,672,336,480,725,214,192,051,893,616,731,704,900,422,950,827,
020,106,218,772,156,519,626,617,970,651,496,112,199,194,740,286,205,835,789,
520,965,442,370,435,822,454,139,487,579,894,389,729,008,199,945,165,802,959,
879,288,849,694,301,748,780,802,936,682,082,095,350,055,164,449,303,298,584,
219,667,452,638,390,968,433,408,017,402,897,669,558,241,644,112,459,900,831,
441,251,894,391,788,353,461,725,741,734,113,001,784,017,252,179,663,747,753,
792,140,637,517,545,291,226,683,131,606,856,027,515,695,068,999,638,150,913,
011,235,611,299,689,272,376,066,254,957,177,145,840,750,985,984,449,802,899,
849,539,300,185,038,006,851,787,494,372,426,751,155,336,524,934,412,790,777,
741,079,372,792,301,849,142,253,450,827,478,704,729,439,517,944,228,145,342,
678,492,138,096,290,677,363,596,224,257,597,561,790,851,372,474,643,181,227,
495,732,763,206,886,226,765,701,425,003,316,509,694,453,921,148,820,777,598,
890,402,525,953,146,784,545,877,307,930,854,127,363,662,741,633,671,788,299,
652,553,938,239,755,789,495,393,865,979,530,656,406,310,826,569,382,715,670,
927,136,208,014,617,693,767,379,088,606,910,076,316,517,448,167,433,286,700,
812,127,840,978,715,579,636,462,396,650,083,811,457,633,044,441,344,714,730,
854,084,959,134,720,920,875,945,859,857,374,014,500,027,222,758,139,688,263,
618,210,972,837,768,115,201,641,459,846,801,145,551,130,272,110,225,335,439,
078,066,651,365,434,819,664,368,031,721,021,081,601,609,956,029,915,471,457,
507,964,345,897,109,386,237,015,105,816,067,738,263,102,996,425,251,471,743,
828,742,877,616,507,850,252,262,636,619,911,488,261,624,892,231,792,507,969,
091,849,472,808,109,693,790,266,731,062,707,322,981,012,038,753,938,101,514,
758,619,176,141,247,060,923,308,148,488,437,885,113,968,558,198,641,561,695,
603,407,295,731,622,227,479,048,900,214,285,844,260,572,259,978,537,146,791,
838,036,635,895,439,050,996,631,524,973,651,833,644,634,927,762,670,211,122,
566,994,527,587,999,326,774,204,974,967,325,541,889,927,135,434,097,162,313,
023,884,612,086,947,856,260,957,930,196,097,592,663,074,718,923,618,113,842,
705,029,983,254,869,922,080,529,558,460,777,087,428,368,810,145,248,892,583,
927,198,970,065,419,098,268,112,395,022,871,162,062,666,823,105,581,767,592,
829,068,465,572,753,287,412,651,790,509,031,199,014,540,697,880,457,277,608,
519,555,166,578,098,612,962,134,612,390,225,176,263,836,943,376,411,560,703,
507,694,301,617,053,767,903,569,150,689,104,555,640,206,410,936,770,141,136,
454,178,912,735,892,348,102,050,163,547,379,170,799,153,409,242,104,238,688,
402,358,839,976,288,081,798,902,809,104,569,133,869,137,217,661,416,633,094,
238,535,041,037,893,149,204,023,976,793,998,579,074,271,775,209,429,556,648,
752,144,714,377,416,401,383,442,190,197,384,359,210,324,701,329,585,462,536,
229,795,914,800,394,072,274,338,861,286,495,402,504,813,947,180,926,675,354,
179,956,415,513,990,497,800,900,793,271,085,136,269,999,616,828,059,159,682,
487,345,594,347,873,950,993,273,574,170,816,396,801,898,900,439,209,037,946,
377,756,637,487,562,456,581,959,259,141,858,376,077,973,608,487,839,756,585,
033,678,328,047,898,133,667,446,035,746,050,962,719,465,091,831,525,277,824,
693,132,036,021,415,244,090,551,228,874,651,911,954,186,014,750,523,211,687,
452,735,446,913,490,516,522,168,003,710,646,015,222,010,767,977,859,646,890,
446,016,250,521,562,951,019,178,052,400,392,469,460,106,702,105,812,233,071,
961,254,494,765,258,204,706,792,990,936,650,813,467,815,679,436,355,705,184,
453,856,586,563,728,364,695,031,087,280,286,561,219,982,060,356,968,151,031,
624,706,056,840,490,754,089,018,507,953,296,765,709,474,974,908,253,345,665,
090,144,121,544,221,160,821,268,469,747,906,927,554,519,721,391,032,247,430,
921,323,949,740,951,630,725,809,855,975,047,748,886,347,877,591,401,794,838,
295,170,584,084,947,610,552,678,608,750,728,798,038,593,864,901,154,258,569,
296,651,473,931,191,323,575,856,254,986,783,854,763,116,427,738,579,160,755,
966,794,369,875,870,184,783,271,150,698,776,781,554,924,675,590,078,046,654,
892,202,358,861,433,130,505,408,780,845,229,481,161,298,162,585,250,234,889,
640,664,962,304,881,588,420,240,286,396,549,731,127,469,673,824,272,787,575,
595,549,624,085,453,521,422,288,902,282,559,726,798,718,882,715,216,280,581,
539,998,090,359,479,426,772,246,012,696,310,314,177,933,079,608,902,262,062,
673,880,068,941,272,830,327,731,792,934,996,173,302,083,209,499,958,100,900,
816,062,146,602,430,974,034,325,642,057,396,389,652,443,530,559,593,678,174,
148,238,060,643,856,760,263,587,682,122,534,524,895,349,265,452,978,995,321,
859,824,352,518,936,252,015,028,910,545,226,562,884,414,271,046,138,058,484,
385,745,067,502,834,461,071,563,303,697,603,374,683,806,878,367,915,690,606,
336,424,700,805,761,932,514,564,426,430,726,554,300,072,503,938,885,957,572,
619,947,427,746,984,089,986,993,568,789,821,812,410,704,671,197,853,708,944,
531,627,231,980,078,037,413,615,177,028,914,896,124,941,743,346,156,905,972,
942,309,467,542,882,000,767,674,779,870,868,409,190,795,846,098,583,204,419,
075,857,756,284,533,224,996,593,655,779,436,666,006,153,358,989,179,553,048,
305,408,057,711,949,939,557,702,966,738,629,451,735,448,579,898,056,327,564,
571,765,800,179,440,431,012,613,622,701,278,859,420,341,339,708,284,223,208,
973,784,889,881,884,194,601,492,365,477,688,384,258,830,658,922,413,711,156,
537,725,790,077,893,943,495,375,575,043,470,388,521,465,793,642,926,818,780,
072,304,205,962,845,917,171,601,037,118,198,381,562,559,773,364,162,537,634,
231,019,799,391,960,060,727,216,926,842,857,761,932,359,735,907,578,809,890,
946,997,831,387,369,022,336,081,622,844,945,610,030,688,758,468,512,330,811,
132,037,476,391,489,913,443,042,343,127,861,888,224,682,877,851,305,999,591,
723,807,886,490,499,816,022,766,435,537,290,206,053,423,235,091,000,150,234,
713,768,305,654,259,143,446,229,293,745,945,324,004,727,941,157,746,466,128,
289,830,491,394,065,303,276,277,773,373,066,522,634,267,032,402,948,135,187,
803,314,588,278,561,547,560,832,686,684,306,990,316,778,137,382,050,224,073,
330,424,673,915,755,166,167,437,652,763,654,749,182,001,735,604,258,668,767,
406,796,463,655,076,788,535,993,422,281,728,448,370,635,014,053,349,853,838,
380,056,723,153,025,437,393,482,600,311,710,933,337,147,024,711,077,456,781,
535,931,079,048,365,271,423,421,205,324,213,990,524,926,430,887,564,707,854,
055,947,489,182,450,303,435,606,624,329,635,974,319,655,379,448,432,917,174,
584,104,744,520,494,861,672,943,073,004,155,433,732,262,119,721,395,715,127,
529,265,576,545,518,076,983,393,943,122,145,388,716,312,413,121,045,971,331,
335,959,110,120,574,448,337,533,464,133,297,992,566,687,919,540,822,676,218,
714,186,129,983,322,762,694,255,138,768,175,109,343,017,705,896,905,866,908,
450,376,472,594,955,384,969,231,576,700,659,912,836,442,239,782,891,683,802,
677,944,970,635,082,230,678,560,887,729,529,559,605,023,946,662,611,639,795,
638,944,919,177,964,552,367,559,627,237,110,925,074,459,734,432,049,571,122,
226,903,964,716,929,172,986,198,592,728,148,664,887,680,378,159,594,351,200,
267,456,604,073,342,701,645,135,936,985,290,609,267,322,528,705,381,587,021,
057,628,565,726,503,595,935,515,714,375,943,412,830,363,290,391,086,200,453,
333,884,872,986,342,919,727,051,077,832,492,727,772,920,412,102,138,282,424,
271,172,354,815,320,825,362,075,202,222,378,983,879,145,191,294,363,315,677,
964,629,505,869,878,342,419,419,529,535,475,856,890,276,646,961,615,342,103,
600,358,576,234,801,077,406,954,335,914,013,144,285,403,203,258,594,522,907,
950,415,535,176,363,400,637,300,127,744,793,013,705,706,780,173,885,486,505,
213,194,239,631,603,562,414,601,557,199,783,233,419,391,518,072,507,568,833,
001,320,696,346,051,310,419,152,678,829,518,501,987,254,446,897,655,937,217,
237,348,191,123,553,851,553,462,754,478,496,336,292,396,183,300,605,413,697,
540,889,516,214,464,046,345,169,592,082,806,138,019,715,091,769,584,118,177,
424,236,833,521,831,354,325,197,254,804,749,960,582,713,899,980,851,147,450,
670,731,827,394,432,800,174,019,835,973,862,220,650,378,823,865,876,859,115,
826,356,798,693,532,217,362,907,432,162,214,242,133,682,412,084,483,691,637,
849,995,737,006,689,526,161,901,594,935,701,709,385,546,778,972,613,397,758,
094,423,595,291,311,157,081,364,914,435,304,009,965,588,141,937,226,309,028,
478,933,878,245,582,365,515,393,666,831,065,884,252,874,944,272,892,083,031,
570,003,738,353,345,995,866,182,640,803,500,884,232,507,869,961,022,745,881,
480,083,902,457,382,649,793,549,041,735,543,160,847,008,183,028,521,562,428,
117,045,521,921,004,935,247,739,723,813,725,667,978,365,456,896,565,126,737,
378,109,666,490,561,956,239,956,167,965,258,948,210,944,666,264,188,753,647,
498,554,215,317,679,764,443,079,985,212,380,602,764,965,200,261,722,738,202,
609,307,452,957,538,202,464,856,377,375,914,331,121,785,645,952,963,556,260,
464,527,237,233,106,413,533,590,950,529,981,121,497,207,922,568,398,217,952,
961,765,310,018,395,800,864,668,729,968,859,434,894,042,075,898,697,868,859,
721,426,316,692,525,979,361,468,902,659,622,175,820,629,131,704,953,407,452,
500,597,354,708,179,476,325,985,288,519,760,809,358,262,574,983,831,757,872,
777,639,609,778,629,927,053,774,190,486,553,863,649,539,322,398,373,968,650,
831,009,326,046,439,565,152,398,364,677,550,103,746,500,425,493,361,982,440,
768,065,949,715,340,387,836,730,507,249,344,814,291,858,542,944,491,953,496,
928,743,999,123,626,374,425,050,494,721,776,806,666,446,878,218,043,362,788,
531,830,022,293,953,533,434,714,713,685,366,774,594,606,538,667,083,391,583,
877,511,651,211,608,351,559,905,859,675,463,424,058,015,070,651,519,283,154,
399,804,912,461,650,189,272,057,278,300,909,155,173,055,077,020,820,633,490,
707,428,582,006,458,670,386,207,220,462,386,449,209,066,746,896,496,260,565,
341,895,688,350,044,130,423,792,592,539,487,516,112,137,542,095,591,387,923,
888,165,732,391,458,884,470,835,395,102,216,702,978,218,939,645,818,318,757,
125,481,912,244,373,453,206,366,614,537,108,083,826,070,604,599,053,011,354,
669,402,415,088,292,862,445,026,237,157,066,354,223,525,380,002,256,366,750,
296,268,040,177,552,918,404,981,731,931,297,917,274,919,730,290,319,899,109,
339,043,163,670,351,721,064,514,766,926,008,423,970,046,273,884,054,385,298,
166,657,866,701,874,538,415,610,139,748,408,447,138,772,580,447,336,701,607,
603,208,583,374,759,165,033,647,028,195,268,930,752,868,444,055,909,898,636,
369,123,131,269,833,845,875,228,838,550,799,612,110,936,422,481,583,987,086,
111,238,342,655,103,492,944,842,268,265,663,867,082,343,458,285,837,526,172,
895,628,317,185,374,047,809,254,481,377,677,143,902,487,897,172,018,101,558,
420,738,835,173,599,300,355,559,574,433,350,845,200,348,324,734,895,450,015,
051,878,901,475,447,408,759,751,554,471,293,289,150,823,118,708,953,952,230,
933,668,991,585,625,353,364,161,761,441,260,054,675,367,653,889,142,943,249,
425,422,120,674,802,417,480,862,635,632,382,800,430,048,240,231,933,080,948,
325,175,689,546,215,585,686,692,643,649,337,786,301,132,657,940,761,976,116,
690,205,952,549,751,973,141,273,104,777,658,425,833,201,258,052,341,595,230,
672,801,764,179,472,062,526,037,895,845,886,010,582,147,375,568,526,340,188,
449,654,721,131,709,430,814,815,431,111,101,075,769,186,072,156,269,218,735,
425,766,266,217,681,715,986,822,889,110,096,080,499,726,280,657,973,049,979,
188,423,407,476,021,810,225,027,643,918,093,940,571,792,332,884,026,639,649,
704,556,409,724,171,091,184,738,983,498,986,957,624,125,915,195,774,401,337,
544,524,843,621,724,864,900,424,158,252,684,554,691,086,724,343,930,427,046,
207,817,164,616,893,840,631,170,867,881,499,315,707,653,778,684,102,279,861,
815,495,182,465,553,647,644,197,754,488,419,595,693,744,264,216,922,296,503,
924,746,925,286,581,094,465,131,028,405,355,096,774,994,888,677,443,469,430,
019,367,165,660,548,496,184,816,212,132,820,617,025,502,927,564,808,112,570,
990,700,101,671,123,119,199,717,641,532,494,752,223,430,604,634,713,078,809,
325,217,616,583,720,336,218,651,752,454,203,878,533,570,130,133,265,150,335,
621,638,218,013,625,314,544,152,030,899,418,704,173,276,768,281,768,334,465,
057,017,428,248,825,118,165,426,556,916,499,127,064,210,792,017,913,036,044,
609,636,360,310,793,163,362,164,500,674,185,630,509,063,774,400,648,219,188,
109,958,588,740,143,589,548,130,752,502,712,198,867,146,212,251,866,514,541,
225,479,035,176,783,184,353,099,385,412,086,381,605,914,403,223,628,256,382,
392,197,816,590,837,139,077,356,448,651,233,672,605,198,877,879,973,729,580,
568,892,467,280,020,280,293,125,684,250,564,311,002,898,959,148,935,898,365,
419,332,465,899,168,278,921,846,054,071,616,482,598,215,048,782,284,169,739,
423,357,171,867,222,772,877,394,293,133,171,052,153,553,510,089,082,903,319,
298,597,170,774,780,292,293,366,110,303,216,572,763,682,172,469,351,256,572,
635,705,437,857,266,909,709,950,733,067,608,297,118,812,406,449,397,297,921,
671,067,724,765,207,176,506,731,225,102,445,581,650,045,073,614,079,177,200,
043,039,447,066,611,699,033,312,774,569,570,768,239,916,275,171,840,047,989,
240,253,208,305,350,473,166,332,059,046,126,461,796,433,207,483,896,817,769,
105,394,594,592,621,401,707,367,700,337,011,116,213,455,090,897,325,028,392,
127,001,297,938,687,652,909,776,681,496,630,069,221,781,612,347,569,342,589,
100,444,615,954,392,817,963,235,470,830,031,467,736,632,145,558,406,359,277,
362,668,417,646,551,144,016,480,736,292,091,976,015,864,729,265,906,761,601,
486,551,079,781,061,689,721,794,739,172,231,257,822,902,550,831,545,983,167,
671,513,931,565,237,876,246,226,263,840,904,712,492,180,953,516,490,958,744,
051,220,147,186,365,236,783,905,132,644,581,236,095,945,273,311,194,711,445,
161,191,162,516,979,658,180,037,543,940,653,087,494,210,739,028,198,045,794,
375,539,399,527,370,717,423,270,604,138,416,723,111,654,215,997,189,302,654,
861,008,094,383,218,295,692,850,598,334,075,452,423,328,688,896,642,338,945,
974,660,831,387,652,705,407,669,872,105,561,230,798,233,216,719,255,643,398,
276,596,173,152,155,464,817,998,818,527,357,863,009,080,507,496,755,996,101,
159,239,327,107,094,675,984,725,896,025,192,153,750,411,722,829,818,946,795,
808,011,438,660,169,244,777,699,158,810,835,234,020,310,922,940,109,406,278,
260,083,776,535,235,366,957,678,465,778,279,494,029,703,577,658,692,260,671,
810,355,734,797,332,163,917,796,367,905,711,993,846,383,854,571,291,636,212,
954,903,006,226,370,637,716,487,315,378,501,937,601,245,144,601,026,189,580,
421,538,789,385,902,420,740,540,569,856,119,515,580,921,848,938,383,569,913,
966,469,241,243,893,592,300,851,129,509,953,432,388,842,145,532,480,343,067,
969,711,705,802,153,947,234,133,161,028,759,736,347,156,695,006,875,291,433,
120,029,020,767,332,227,202,786,798,506,168,289,043,174,514,713,290,411,811,
366,944,523,263,795,083,749,181,840,598,263,421,993,021,153,248,651,330,385,
074,891,923,008,260,904,586,087,464,902,615,037,658,931,954,073,667,411,018,
674,708,429,809,780,404,822,866,730,189,269,221,388,146,885,825,668,167,516,
483,038,111,887,188,208,267,144,389,384,622,571,516,659,488,916,734,899,546,
710,544,035,743,891,662,322,999,723,021,839,178,921,246,107,337,083,174,333,
257,750,156,907,358,428,921,093,533,811,283,475,543,137,641,214,573,332,596,
413,081,892,785,509,899,995,093,237,955,321,210,716,292,725,107,636,571,845,
570,952,897,258,904,101,688,496,172,700,599,702,942,446,228,180,720,211,347,
028,690,504,426,354,590,638,363,666,069,188,774,932,515,051,471,881,841,266,
790,122,044,616,675,910,526,017,270,427,734,996,073,670,815,258,531,553,143,
994,668,353,613,756,379,960,333,411,802,400,015,781,450,248,332,715,479,232,
588,189,820,484,806,278,946,685,418,576,140,387,581,735,896,820,993,395,557,
790,687,273,321,689,269,474,657,908,378,083,284,936,664,958,069,553,088,554,
958,496,488,440,658,608,451,267,189,081,487,908,985,400,709,472,966,092,627,
565,874,398,147,450,308,940,602,833,418,940,106,522,645,909,315,342,461,657,
793,995,238,656,937,583,636,195,136,122,222,604,327,164,068,782,368,849,728,
598,552,528,209,892,022,132,923,051,834,187,527,787,965,163,525,033,905,089,
433,331,679,209,304,887,677,977,615,893,088,000,273,863,090,532,650,712,314,
261,903,020,455,642,480,947,175,711,461,388,654,566,839,623,145,100,927,613,
283,673,547,575,350,893,042,879,848,041,422,693,227,146,661,081,080,980,999,
894,695,707,725,326,224,350,241,936,310,997,984,574,853,699,779,269,009,016,
511,833,558,737,550,929,265,655,273,435,818,887,934,612,949,094,779,342,443,
897,919,066,754,656,673,770,091,962,574,397,296,761,447,690,737,749,167,906,
874,806,856,970,966,328,467,847,641,015,827,606,678,065,140,738,639,259,827,
556,147,137,542,402,396,635,228,236,258,575,424,095,759,801,042,503,000,595,
932,281,675,056,964,950,224,071,371,951,692,351,466,913,591,431,357,656,911,
199,857,684,447,422,804,237,084,837,112,239,958,500,685,429,328,708,428,637,
136,053,608,846,311,358,556,879,000,259,330,872,005,106,099,343,420,130,062,
506,787,881,475,057,876,458,905,123,676,793,264,149,408,974,058,037,378,678,
031,513,026,090,031,035,234,516,598,102,106,728,445,314,581,624,680,767,495,
595,923,320,598,046,840,016,694,537,168,757,474,547,393,104,769,600,882,055,
492,364,820,283,746,043,609,676,719,570,070,998,135,165,564,592,888,351,109,
057,384,013,108,759,741,159,190,936,171,249,981,948,853,978,754,268,314,622,
038,557,659,347,534,105,943,130,493,106,596,802,949,886,752,711,498,429,599,
627,098,386,140,123,617,196,961,958,116,110,910,336,326,295,023,225,094,568,
529,361,933,108,573,282,675,067,085,804,587,132,191,000,445,360,183,254,474,
846,978,943,120,991,533,480,789,276,897,170,879,841,157,891,610,175,043,727,
411,129,561,991,868,013,983,478,194,405,977,325,623,824,401,863,482,489,531,
333,778,853,401,585,362,069,067,803,496,004,354,353,194,453,476,672,612,052,
324,554,700,210,430,852,749,640,815,806,688,611,725,785,023,626,345,666,215,
374,955,425,247,885,541,709,563,757,790,558,289,018,849,051,957,351,191,525,
033,339,965,996,847,404,112,069,634,580,299,159,629,706,231,258,226,352,942,
160,840,717,217,018,308,165,560,619,434,432,046,532,933,654,086,871,456,743,
140,552,872,358,067,193,396,765,454,562,598,594,024,082,935,413,533,588,177,
731,189,025,929,454,956,421,287,247,309,535,460,729,240,618,124,013,661,065,
352,755,554,688,043,666,271,650,679,623,703,038,510,431,290,953,420,609,066,
583,866,773,604,992,113,240,839,473,789,405,233,698,933,782,806,143,211,573,
745,271,829,597,355,234,105,831,582,935,562,306,807,677,613,301,315,524,752,
185,806,294,570,234,798,548,767,317,871,470,866,379,195,731,839,302,007,054,
355,687,277,938,081,548,518,950,017,806,600,826,045,482,113,862,940,870,376,
141,743,716,551,737,421,795,255,629,047,780,707,907,589,585,665,847,842,997,
031,882,599,027,820,540,499,135,269,932,749,654,988,103,484,227,961,238,501,
675,933,310,815,435,089,814,987,939,277,395,529,244,150,059,628,196,830,516,
354,081,047,348,236,313,611,955,124,659,763,391,063,615,977,146,841,279,761,
298,757,334,537,776,931,873,156,101,123,395,162,394,420,396,444,472,098,031,
800,246,089,865,440,528,991,188,772,696,435,589,684,910,662,971,344,877,873,
573,645,175,816,114,165,016,867,345,428,816,614,659,377,413,662,665,545,740,
873,717,839,090,559,751,981,386,976,420,216,842,021,918,974,050,649,634,644,
626,841,824,348,182,454,658,324,085,798,819,456,011,250,413,714,487,567,964,
812,589,265,165,081,782,754,269,972,175,570,756,206,458,757,711,983,093,625,
080,379,125,489,154,166,352,293,829,334,001,984,117,533,414,551,168,138,359,
173,942,683,140,293,174,185,523,816,814,379,528,821,841,986,966,446,213,978,
198,867,161,203,411,920,305,951,514,892,622,255,328,797,075,242,493,612,774,
658,536,247,829,050,814,042,549,482,901,121,087,986,986,419,218,854,745,264,
643,489,183,522,683,865,262,389,138,156,456,496,055,058,238,405,060,221,152,
748,909,181,588,285,279,832,229,654,941,922,082,266,478,038,566,675,049,211,
240,304,969,426,074,079,558,608,386,478,037,738,650,077,060,612,286,003,832,
517,804,536,674,956,148,580,430,524,198,632,758,451,706,662,833,654,133,214,
189,683,134,421,960,162,682,127,503,589,058,522,824,775,159,932,119,002,644,
226,762,985,454,205,782,630,871,475,486,431,873,853,272,961,738,229,712,432,
084,457,988,606,723,151,183,673,473,628,472,226,191,724,045,845,252,421,614,
891,912,772,520,315,354,208,253,374,690,430,103,905,535,817,835,119,496,639,
132,266,999,637,066,206,636,100,551,363,704,521,459,698,686,559,786,324,315,
970,722,247,024,302,878,388,809,204,515,330,446,591,354,763,966,995,158,171,
130,369,423,418,510,271,077,723,978,553,011,105,606,991,179,146,442,328,773,
051,693,433,284,856,267,820,695,175,601,229,360,639,254,808,208,405,431,065,
870,883,996,287,138,400,615,254,874,776,300,462,942,150,314,255,693,936,780,
778,409,770,165,950,875,472,294,695,885,279,047,271,445,940,905,728,460,415,
484,884,190,657,546,699,661,989,734,459,249,255,807,890,977,286,392,435,862,
593,595,153,541,628,001,362,014,126,720,303,994,700,059,311,789,096,357,175,
503,436,635,372,972,683,259,303,868,539,837,111,932,801,704,211,017,806,703,
871,518,156,283,146,381,369,674,651,356,316,789,896,624,936,845,712,015,728,
241,038,043,060,197,010,752,225,176,314,534,742,898,559,434,334,430,050,361,
218,184,352,250,733,015,977,538,707,560,675,012,273,989,197,849,662,296,107,
544,969,711,552,992,142,677,006,728,089,414,216,511,318,629,781,056,864,261,
591,331,560,729,965,930,368,108,628,754,887,279,580,626,326,466,089,562,597,
046,892,002,441,984,002,623,143,200,511,378,758,565,496,359,802,920,283,973,
797,699,180,820,892,986,909,448,214,972,978,187,118,184,295,991,862,923,409,
179,772,547,635,680,577,945,553,592,514,839,259,630,848,300,759,625,451,677,
063,180,552,790,365,632,478,240,147,009,012,943,217,437,022,711,638,651,893,
053,671,436,627,609,054,137,184,831,364,057,335,952,208,763,463,386,019,442,
661,408,332,515,857,435,033,468,546,900,431,286,300,510,631,889,678,453,887,
382,940,830,454,153,055,448,818,200,785,971,305,268,165,350,011,613,303,846,
010,120,165,613,682,742,894,334,202,470,908,021,847,109,221,963,901,353,011,
287,805,432,856,758,723,038,370,874,882,246,825,309,999,726,933,124,712,003,
489,773,196,551,346,329,101,918,519,143,592,516,690,684,647,689,094,439,251,
143,886,254,518,426,723,268,098,685,695,493,994,889,116,854,547,805,743,434,
353,012,513,599,957,862,738,706,395,686,100,859,119,328,406,065,908,457,456,
057,272,319,419,751,283,374,436,396,744,439,311,213,829,737,246,979,622,278,
230,700,850,094,018,338,482,251,368,620,560,564,518,459,572,238,972,026,358,
079,499,894,784,584,868,319,700,618,468,510,312,821,910,093,908,623,902,389,
077,115,538,347,024,828,431,242,753,823,300,502,346,070,058,922,580,819,591,
358,764,198,208,097,395,013,183,191,133,389,895,586,689,986,139,265,416,226,
362,897,778,743,752,191,821,535,116,971,406,562,823,020,178,253,642,534,734,
532,143,763,655,990,342,405,431,686,217,078,506,691,125,065,925,400,245,118,
429,553,343,491,431,774,317,804,504,731,863,836,122,075,558,607,330,131,608,
317,831,574,526,668,341,793,866,176,622,226,491,752,363,860,735,919,375,699,
666,587,761,687,621,968,882,656,527,553,379,512,898,043,523,777,293,937,962,
436,131,520,184,668,059,973,668,456,697,328,906,603,676,544,148,220,228,544,
012,207,605,336,640,117,389,861,580,564,057,532,826,375,028,706,684,850,060,
635,520,059,808,432,962,230,377,686,463,147,185,253,770,893,771,550,898,997,
425,671,022,603,599,258,501,730,899,006,457,693,809,438,139,526,183,471,489,
343,568,712,355,789,734,107,437,381,545,003,944,728,200,777,310,016,892,141,
318,787,957,940,625,190,302,381,313,791,415,208,351,108,030,950,100,345,477,
561,435,887,678,591,473,998,839,861,488,149,065,442,603,021,168,511,201,469,
546,189,791,884,734,415,603,259,812,009,092,035,748,254,630,337,308,263,879,
992,820,152,743,821,830,088,487,730,531,127,066,674,281,863,464,775,812,833,
775,043,749,719,622,407,800,969,327,317,809,033,382,506,104,152,715,610,343,
452,472,344,966,947,935,302,630,272,389,777,627,016,234,138,139,973,667,321,
086,930,770,270,976,506,337,327,343,363,245,077,075,276,502,484,066,873,862,
713,894,170,050,428,034,448,555,948,301,422,424,800,770,814,611,854,556,344,
309,712,991,714,637,767,178,660,612,278,969,716,803,488,529,327,839,095,156,
870,336,673,829,501,619,075,353,446,538,357,893,499,697,920,674,777,432,629,
509,314,804,271,134,441,053,852,169,309,581,872,618,168,404,944,971,861,509,
278,923,310,468,402,556,020,254,073,058,350,414,141,098,187,352,250,545,552,
646,211,218,628,758,388,799,608,454,378,205,997,498,721,801,791,186,384,458,
454,656,178,453,193,864,894,586,782,947,632,485,232,846,263,640,286,587,376,
793,549,562,184,426,344,547,377,295,672,134,742,553,065,289,583,373,216,439,
626,831,229,639,659,697,591,322,365,513,289,595,686,635,856,919,454,581,245,
673,549,959,612,444,678,871,009,588,611,663,796,408,339,758,213,161,957,297,
142,630,554,780,204,938,779,972,559,289,077,367,543,512,342,424,210,383,446,
312,114,298,447,553,672,693,232,460,276,112,335,181,619,350,701,976,754,405,
223,520,666,321,986,115,901,031,890,394,258,795,645,747,133,169,089,160,033,
789,255,593,821,778,001,124,673,627,928,103,187,494,570,179,525,456,341,880,
012,064,971,763,643,937,115,541,056,554,259,802,017,218,933,022,773,865,048,
406,071,731,138,957,716,950,032,411,053,699,578,932,204,099,696,221,497,098,
212,429,427,578,084,944,539,925,510,043,102,450,791,149,528,529,291,328,805,
810,923,316,976,274,650,226,058,337,635,343,886,510,638,893,138,600,417,351,
511,400,431,480,485,516,039,036,658,357,096,334,997,384,273,101,443,456,187,
907,560,915,479,830,773,167,829,633,105,233,480,527,257,592,741,547,300,162,
264,619,072,539,831,310,010,842,330,507,449,835,115,999,195,202,684,309,211,
916,837,777,924,662,247,662,072,186,605,259,841,515,791,825,818,250,209,843,
099,051,557,379,117,751,091,095,659,616,367,497,879,632,279,326,328,060,282,
486,452,700,675,727,350,465,139,521,109,918,080,662,652,405,735,979,396,608,
359,602,471,840,640,436,281,842,382,118,741,454,966,192,271,893,152,262,579,
307,706,172,702,156,402,232,737,162,293,726,880,870,466,776,087,132,824,751,
121,596,205,430,791,841,472,656,645,966,723,115,237,532,030,758,821,561,467,
696,631,298,558,633,038,277,773,707,506,059,059,135,739,221,610,557,894,470,
062,708,937,009,440,948,539,345,747,437,227,412,456,163,337,742,429,942,844,
150,442,662,599,004,224,456,873,525,119,387,083,670,422,570,773,221,810,945,
548,405,789,464,331,859,892,524,325,655,160,591,862,533,030,405,237,877,343,
036,983,002,635,679,523,251,591,226,121,054,256,078,316,243,489,083,577,485,
833,078,276,965,416,339,170,732,006,551,409,850,050,113,323,087,240,703,935,
185,184,045,419,528,280,490,644,018,603,029,483,551,038,357,410,132,357,319,
104,795,511,542,617,782,069,188,964,354,399,333,715,321,587,326,338,972,479,
032,467,360,985,664,340,976,768,768,210,834,780,025,020,742,662,066,316,835,
969,501,490,510,866,665,785,769,060,425,497,671,921,517,912,927,918,698,618,
411,526,038,473,122,219,743,459,687,927,927,393,815,375,512,531,673,573,865,
810,717,538,151,631,773,185,775,065,601,831,806,716,313,859,428,356,647,818,
946,532,064,168,245,531,767,728,242,348,878,594,287,863,992,977,313,554,076,
823,708,768,183,195,064,966,476,555,727,358,634,443,420,095,493,846,485,348,
942,038,454,886,228,356,049,916,527,518,852,322,684,657,287,443,890,730,095,
911,708,219,464,683,282,359,047,139,588,966,623,030,632,411,408,996,391,258,
393,721,657,595,889,904,466,492,845,144,129,443,617,185,479,979,401,107,420,
884,391,921,926,937,717,376,963,802,621,690,800,055,618,098,642,537,319,847,
921,269,608,854,594,001,460,384,998,602,640,924,639,473,818,290,789,073,753,
125,483,713,676,122,888,870,457,790,713,089,660,081,795,648,555,189,710,825,
888,061,756,703,607,764,883,293,700,068,757,095,288,242,398,049,596,150,266,
229,529,011,269,408,071,595,463,908,072,623,293,650,382,037,365,709,493,542,
896,242,518,338,074,505,062,809,260,568,488,093,009,017,128,072,939,254,367,
900,236,760,484,352,171,810,354,998,919,213,717,914,262,519,459,724,976,811,
603,584,205,381,227,217,580,274,207,842,674,436,210,539,258,109,399,760,393,
682,456,612,476,253,453,536,833,551,670,342,183,672,675,943,006,030,946,202,
268,784,342,121,168,391,896,295,651,784,478,450,120,393,350,235,762,981,128,
893,680,858,148,045,288,928,077,290,441,866,917,027,992,687,357,669,116,177,
148,915,833,032,559,640,610,630,768,461,015,735,168,336,089,000,012,146,388,
174,969,091,184,283,249,305,171,229,926,054,858,688,337,232,614,238,341,167,
669,787,009,955,350,306,217,365,764,422,995,107,861,842,794,402,563,866,950,
848,968,773,076,345,521,200,286,321,259,869,997,152,055,539,715,652,255,038,
779,561,647,065,170,678,566,489,107,902,332,653,651,590,018,276,978,833,422,
632,359,829,099,124,653,806,930,356,007,137,928,691,631,117,430,645,111,106,
290,427,588,053,752,487,987,185,884,689,748,451,509,552,932,371,359,969,252,
228,732,749,862,978,104,348,712,345,244,947,425,569,717,703,873,673,695,647,
418,815,973,438,754,857,613,658,668,539,900,670,091,066,372,542,499,455,026,
325,790,844,106,253,468,420,389,277,115,113,382,386,226,461,710,504,852,234,
952,663,367,976,521,833,746,688,657,996,829,657,356,400,258,191,543,102,450,
880,533,967,524,728,044,276,530,941,914,865,512,980,049,968,868,135,808,116,
401,479,374,004,787,547,744,369,671,028,999,666,033,527,193,421,815,541,306,
446,819,229,377,635,290,793,205,558,331,043,588,544,268,295,409,111,525,919,
016,329,102,449,759,455,967,929,566,677,570,498,822,657,504,002,027,471,537,
980,251,524,067,576,995,440,551,909,870,841,504,006,829,877,549,680,109,024,
045,307,480,263,973,789,787,945,654,760,331,264,561,495,330,713,620,887,593,
525,887,611,967,960,800,852,681,289,822,580,843,267,947,938,012,188,373,103,
993,238,986,201,145,309,502,010,940,319,409,220,483,835,992,952,263,240,792,
456,097,724,044,847,072,499,237,235,816,314,997,177,741,237,649,708,831,809,
414,513,873,729,647,656,192,724,021,808,915,040,320,957,964,241,044,811,880,
470,609,141,005,810,303,670,424,223,972,968,765,681,125,810,026,507,644,750,
725,536,910,017,545,066,186,645,093,077,325,543,614,095,171,644,443,562,321,
506,621,345,625,042,953,479,827,029,464,403,373,821,407,313,621,826,141,952,
498,705,242,868,014,098,095,915,302,062,266,856,809,082,969,229,850,462,068,
718,891,691,165,145,377,433,296,000,575,774,980,065,374,517,908,417,790,210,
920,352,239,470,983,787,068,374,460,924,044,968,077,086,830,969,497,520,749,
582,267,746,916,820,624,831,815,533,437,413,773,894,731,335,762,123,646,605,
338,635,468,282,126,696,738,697,030,196,769,184,805,757,005,164,829,923,897,
671,378,163,968,056,234,971,295,266,442,594,390,236,067,955,305,381,644,863,
258,612,410,576,299,784,266,782,274,343,764,010,636,178,716,937,613,528,172,
233,215,561,158,972,749,423,304,688,000,949,091,110,641,109,071,072,347,418,
097,138,200,043,353,480,058,076,910,799,907,010,359,455,994,054,478,440,553,
230,862,447,494,038,333,161,104,637,956,812,681,263,224,464,608,611,217,021,
727,907,939,428,456,855,853,690,132,139,184,448,889,674,722,792,013,717,636,
498,845,080,137,278,201,138,513,965,001,930,608,173,108,650,465,043,774,754,
637,287,055,372,135,275,066,716,189,696,367,613,063,679,485,559,026,520,631,
655,225,600,509,250,461,257,206,824,257,751,235,661,571,206,626,540,828,494,
705,866,035,962,853,647,174,704,401,015,977,641,861,281,594,296,338,755,735,
928,250,521,249,403,013,696,964,750,865,909,404,392,839,271,658,186,098,091,
384,049,123,925,676,806,916,549,502,310,654,627,066,445,224,000,721,091,593,
240,298,569,619,605,328,013,730,208,463,367,511,003,679,330,482,425,794,199,
718,406,912,887,673,444,986,206,823,795,349,080,997,896,292,664,175,968,318,
419,664,303,125,348,089,820,956,337,524,762,027,046,085,640,981,744,005,565,
794,958,215,230,364,027,493,530,872,730,406,582,788,935,177,241,893,060,536,
874,717,379,782,877,390,618,093,469,058,434,788,565,944,610,193,744,095,287,
697,210,620,351,681,645,920,785,570,886,101,008,379,817,969,160,845,656,838,
190,333,282,587,865,360,824,693,024,053,312,416,089,289,908,568,321,593,257,
458,910,944,075,487,707,728,571,886,502,370,075,070,708,297,957,305,050,285,
924,886,128,638,661,826,764,082,520,105,587,262,493,765,845,434,620,766,058,
033,937,528,328,084,239,855,820,838,647,685,668,730,584,544,404,752,060,768,
996,142,466,442,235,766,953,269,929,846,030,986,807,249,962,539,405,547,766,
491,914,586,717,527,657,428,495,063,502,852,647,749,384,622,036,553,793,702,
738,049,566,291,438,235,255,306,405,393,042,238,138,468,560,048,186,275,391,
760,602,925,399,698,807,553,509,146,222,902,858,933,812,956,224,162,597,734,
668,613,526,145,710,121,016,594,164,205,570,765,510,893,602,639,849,917,298,
539,688,743,595,127,162,550,850,467,873,539,155,083,123,747,472,659,951,472,
326,386,654,340,026,398,240,865,944,806,053,905,654,221,029,042,410,732,651,
747,030,909,491,852,410,128,470,110,561,105,668,611,874,523,918,297,996,346,
586,919,006,009,492,249,185,528,292,373,386,032,583,608,845,603,132,881,464,
949,027,634,066,717,089,194,410,459,540,293,841,155,395,065,786,270,290,642,
359,574,739,077,531,362,299,162,889,761,153,689,780,063,318,537,225,599,920,
640,697,040,149,295,961,142,444,960,148,608,784,941,848,793,135,663,192,191,
643,163,959,939,347,631,832,489,683,077,983,918,819,478,757,486,211,959,000,
984,461,449,587,590,930,150,468,657,429,824,542,331,257,834,285,691,549,836,
293,447,870,687,641,416,037,167,176,923,499,316,821,005,203,180,946,816,782,
809,662,483,966,862,933,356,101,054,678,093,111,929,789,032,160,419,091,764,
063,530,083,836,078,260,350,146,267,058,635,923,478,241,737,274,670,433,479,
539,362,239,095,695,327,709,172,662,816,989,760,191,166,835,060,900,356,055,
281,621,466,452,317,235,383,773,641,747,058,551,348,301,541,746,686,091,209,
800,011,079,449,442,883,744,219,336,309,918,468,735,168,047,413,457,681,634,
300,909,501,145,834,987,839,776,888,024,949,176,509,520,036,866,560,577,413,
162,695,225,862,930,646,565,257,070,753,754,370,655,246,645,286,952,528,520,
766,443,569,459,148,917,225,876,089,824,667,802,656,068,790,713,388,535,406,
935,058,728,881,794,185,263,417,093,036,071,946,550,783,033,130,308,259,154,
386,071,152,984,452,513,983,298,563,760,745,837,675,813,316,709,346,710,046,
799,457,603,905,680,989,962,681,349,745,645,459,258,488,296,986,242,895,381,
047,261,521,906,217,446,930,204,337,044,481,439,239,034,949,410,895,428,812,
430,058,875,439,247,739,149,087,926,176,894,647,132,394,544,622,489,769,083,
799,278,448,973,308,163,389,439,977,233,576,544,268,946,304,000,310,924,115,
391,052,878,429,566,724,081,624,754,500,335,558,119,527,933,519,385,281,544,
387,073,785,153,751,491,407,570,758,453,091,143,055,744,732,856,445,740,125,
027,183,137,565,912,408,381,949,142,137,163,342,837,885,223,834,355,974,408,
485,516,141,800,099,802,200,416,464,385,026,986,137,593,371,035,387,166,044,
040,239,578,496,538,165,712,600,794,407,197,977,981,044,056,986,295,135,612,
717,915,016,540,873,228,958,811,547,755,262,682,093,925,842,421,433,230,680,
732,599,677,911,105,830,973,744,100,124,343,612,573,395,880,916,491,646,540,
473,035,694,736,755,562,491,394,394,714,017,596,421,582,094,582,427,231,448,
407,501,957,002,492,885,624,684,840,868,712,716,872,113,536,482,163,129,773,
371,330,326,951,954,530,462,286,081,105,362,465,985,591,433,393,856,807,141,
792,254,183,589,448,411,165,477,382,821,689,313,874,968,140,169,117,929,015,
956,380,574,227,956,302,128,881,920,592,345,246,113,631,876,060,853,803,134,
291,844,516,231,354,219,822,645,625,109,883,460,583,382,455,108,051,121,038,
567,394,324,087,416,788,476,468,434,893,164,277,558,999,631,972,055,496,495,
507,750,207,203,891,194,685,046,418,025,050,426,252,747,950,326,360,983,728,
595,686,559,636,047,809,056,023,471,746,902,200,694,775,506,609,406,530,809,
899,044,357,465,179,690,969,741,575,759,054,042,938,024,195,860,456,058,691,
183,048,443,711,128,075,036,203,986,572,739,568,404,112,314,207,062,444,896,
639,360,816,112,166,925,721,380,557,981,621,038,224,475,930,496,974,743,224,
148,249,995,735,346,543,941,707,391,697,566,343,679,729,332,056,903,234,227,
778,364,767,731,987,880,284,169,750,720,153,312,042,946,548,754,669,499,868,
673,885,370,723,529,869,681,334,007,307,707,242,360,902,257,031,172,766,345,
968,651,757,332,730,529,061,261,716,892,160,244,985,446,582,144,629,039,248,
197,911,339,755,504,812,824,947,294,630,753,218,287,374,069,701,399,388,703,
280,586,333,108,896,546,102,732,421,393,893,505,764,344,907,291,102,942,721,
062,026,260,383,900,704,398,254,686,700,632,026,020,518,066,099,660,263,771,
918,352,086,595,784,625,470,525,973,921,815,775,652,337,551,989,752,591,700,
841,543,407,361,674,876,480,543,678,648,961,787,980,535,781,706,503,021,131,
666,579,354,674,243,091,992,132,995,003,955,491,231,723,981,531,523,006,115,
538,010,319,227,466,467,516,378,369,617,478,631,457,188,664,419,998,991,683,
991,372,276,429,111,284,145,478,401,201,891,448,371,243,776,959,325,808,363,
801,485,320,196,439,875,578,505,523,495,344,827,421,484,858,835,106,939,801,
333,580,728,140,145,310,296,277,959,944,431,109,605,288,919,854,509,497,041,
876,904,039,507,934,209,905,287,644,287,838,245,173,975,458,336,959,419,376,
486,740,486,853,865,926,966,622,104,140,957,063,939,053,289,237,773,472,636,
922,298,025,207,076,029,825,508,221,365,062,475,984,797,492,492,285,915,215,
197,299,141,413,219,729,671,023,588,573,465,695,353,722,799,434,396,352,425,
915,912,140,749,352,030,680,372,238,133,187,461,869,588,760,046,233,058,152,
212,795,964,211,412,043,724,270,623,927,526,635,060,871,438,396,408,224,726,
514,486,743,317,965,446,544,796,603,246,890,612,142,122,383,747,522,436,902,
738,102,639,455,024,878,765,276,382,531,906,672,063,470,820,776,183,608,674,
759,380,039,315,033,256,840,169,247,675,780,243,279,973,081,456,933,132,445,
355,834,523,311,145,988,430,827,831,838,255,733,708,027,554,098,153,873,713,
994,282,364,142,291,042,098,099,143,290,326,082,856,062,830,969,553,971,695,
552,576,676,912,885,359,158,063,542,466,448,314,943,511,816,618,112,646,216,
308,208,753,644,411,811,510,068,074,659,368,472,838,328,001,567,420,786,601,
871,214,024,080,534,201,594,900,965,805,454,926,631,183,698,289,257,862,656,
671,968,428,443,999,081,352,406,595,336,649,587,665,406,763,052,980,674,745,
318,069,807,658,321,339,678,264,996,586,581,264,586,169,381,992,226,764,810,
227,117,505,236,140,895,662,629,350,871,663,652,940,808,720,469,188,900,596,
584,682,784,689,151,301,690,441,644,735,299,120,017,740,588,353,041,463,509,
125,770,176,933,460,646,473,125,022,087,513,149,931,773,732,838,939,046,208,
527,853,679,969,108,586,970,362,451,389,941,239,094,148,123,073,357,324,068,
531,153,033,082,713,782,993,181,655,679,542,762,494,360,336,571,795,907,146,
312,860,577,818,973,942,323,790,428,163,140,947,597,096,336,162,978,597,434,
980,847,059,377,602,480,539,602,881,832,236,908,151,034,567,757,204,544,704,
625,712,151,420,879,524,911,088,936,387,498,404,530,209,460,289,460,423,202,
175,083,839,917,289,363,121,249,642,762,319,740,193,417,176,750,679,614,161,
989,076,486,285,381,288,172,243,701,043,649,241,040,005,340,793,092,446,532,
139,736,689,759,108,575,198,520,317,088,199,839,597,470,753,138,073,893,332,
986,266,652,980,033,477,274,464,252,033,953,238,812,464,462,099,677,229,647,
402,111,263,123,993,249,661,610,405,443,081,753,312,742,441,988,968,213,806,
564,466,512,527,568,028,170,263,748,560,880,375,847,744,675,494,677,317,983,
392,101,077,116,891,383,982,767,329,709,402,331,996,983,888,329,045,526,461,
347,221,073,736,675,050,333,271,713,575,098,001,617,915,349,807,918,829,610,
232,870,050,085,143,425,231,210,720,289,429,413,367,786,718,798,486,408,682,
696,462,269,103,913,389,794,218,949,021,630,464,839,639,937,420,661,642,050,
240,491,292,718,401,420,112,672,636,399,050,960,509,366,191,517,917,063,647,
349,538,416,110,775,316,288,061,277,090,522,968,459,607,157,794,814,914,295,
433,368,921,552,817,052,160,559,847,536,054,587,302,839,006,149,940,717,892,
398,862,395,686,114,160,496,948,520,821,173,832,237,962,462,928,658,471,887,
917,538,063,778,877,469,392,966,248,963,534,717,100,578,232,224,477,921,204,
961,722,355,164,128,595,702,507,980,155,926,313,731,755,834,322,371,070,905,
971,821,169,847,852,782,943,163,669,401,722,459,995,367,290,844,270,638,382,
607,795,075,978,097,750,452,052,778,792,654,588,697,669,750,641,263,210,380,
825,908,339,086,127,052,896,633,761,145,691,293,987,018,843,456,372,158,012,
489,268,956,769,305,682,963,072,114,109,398,468,415,253,069,095,002,490,859,
613,821,357,373,825,087,984,812,747,468,893,989,393,606,964,341,437,365,060,
237,386,914,443,621,764,111,460,570,129,335,138,032,225,722,944,691,860,593,
246,934,267,746,370,839,871,595,920,238,536,200,438,263,094,829,421,292,582,
528,651,927,428,348,896,833,413,980,819,455,255,691,411,649,797,794,937,950,
940,259,266,546,956,878,060,366,600,142,343,046,678,839,743,723,519,810,145,
779,040,935,519,446,639,343,520,075,067,661,122,038,931,308,692,543,196,351,
723,756,281,743,720,283,998,305,048,539,164,325,030,361,758,781,817,979,007,
408,837,269,840,935,364,606,190,240,181,372,758,480,971,251,078,979,652,841,
861,069,774,749,703,882,336,848,271,423,547,911,725,470,739,742,888,063,263,
852,087,878,269,661,940,622,264,046,944,710,667,431,342,917,338,339,378,449,
174,758,362,341,136,279,605,511,157,545,982,247,967,080,710,674,739,656,090,
043,623,572,747,296,574,771,891,925,908,242,138,228,124,620,975,771,068,475,
100,471,336,726,692,083,897,601,807,329,065,513,869,332,995,188,437,163,707,
794,138,392,637,400,718,426,393,633,909,079,465,294,331,108,165,727,179,304,
292,248,484,988,522,134,728,464,112,433,479,413,868,883,888,808,810,394,905,
883,316,795,182,401,835,672,564,113,262,019,996,228,740,980,900,319,791,380,
556,230,435,832,217,377,562,718,064,138,940,571,811,152,765,875,793,203,032,
880,487,924,796,931,982,419,363,603,999,514,247,531,305,226,517,380,508,153,
315,747,393,233,981,555,172,888,681,869,130,946,013,675,332,122,964,184,409,
986,284,589,418,854,504,972,542,232,209,697,211,611,584,040,971,202,109,287,
910,824,023,432,418,383,054,324,742,202,773,279,568,332,749,586,389,037,202,
652,026,458,840,538,727,361,936,105,681,091,300,057,253,966,879,419,964,606,
026,410,055,903,094,578,471,491,973,442,818,411,861,330,699,826,399,134,309,
992,975,682,315,220,944,044,259,022,415,466,437,514,806,111,062,731,471,056,
006,455,010,367,730,934,527,100,979,828,454,358,727,962,348,855,432,212,135,
523,693,714,336,551,358,532,696,992,722,735,077,074,519,145,059,822,509,431,
454,134,034,923,740,523,188,354,670,812,124,225,680,848,305,776,570,763,768,
911,498,122,883,018,090,230,177,650,549,973,071,504,736,615,241,153,428,622,
453,927,761,464,328,403,215,006,697,247,543,569,647,329,177,226,774,779,303,
287,647,145,105,768,642,316,527,713,260,637,479,073,327,157,467,682,764,931,
946,155,039,998,004,732,163,780,402,973,748,471,836,554,349,418,216,182,025,
174,859,892,911,348,158,443,724,914,128,187,105,911,790,357,001,882,316,703,
158,991,205,687,612,984,193,985,863,019,005,235,030,687,503,192,713,449,433,
428,385,698,022,853,067,990,961,202,414,186,797,949,250,493,486,654,238,091,
999,818,761,420,545,482,956,987,314,150,018,606,794,393,365,660,434,984,697,
563,906,247,906,712,668,175,986,542,115,870,828,574,157,815,277,899,338,021,
562,892,930,986,969,321,388,149,814,688,614,763,613,731,144,050,559,087,539,
412,422,515,682,040,997,818,964,667,823,022,642,087,680,310,277,120,261,536,
687,053,611,800,853,977,016,603,956,992,668,538,143,824,349,779,812,338,594,
495,188,184,208,200,958,020,721,215,006,946,842,883,286,050,505,300,889,232,
130,961,818,774,706,040,973,049,966,968,891,168,370,753,616,103,200,276,618,
097,303,807,085,886,453,238,349,520,152,802,522,141,148,101,094,775,304,252,
349,568,552,379,983,740,239,236,892,544,624,826,609,659,519,986,292,212,132,
891,843,674,171,933,854,250,299,550,259,878,752,402,007,137,000,226,069,526,
993,197,934,081,995,635,920,888,964,312,932,064,068,785,021,851,161,551,461,
800,526,552,259,890,315,588,069,868,619,442,496,405,266,551,835,132,233,376,
804,399,776,392,844,197,309,470,259,505,116,301,182,152,306,073,250,133,185,
970,746,787,669,124,723,534,757,275,197,047,587,322,372,937,220,624,028,493,
547,497,932,177,656,957,910,116,530,556,580,294,885,954,200,358,138,343,330,
538,215,757,213,880,624,196,971,856,542,688,942,683,366,410,414,026,466,352,
427,261,123,570,349,191,133,743,381,501,952,760,058,367,942,345,533,694,382,
058,245,276,668,697,829,714,540,104,273,644,578,003,717,872,066,533,515,385,
758,251,207,871,163,526,515,323,179,285,232,518,794,957,767,985,467,936,627,
374,435,305,922,528,118,060,950,286,453,793,960,938,080,602,856,609,809,203,
392,097,256,926,249,674,329,128,285,821,329,149,216,458,063,452,812,737,779,
956,282,156,766,535,669,677,463,280,619,955,851,485,442,521,078,048,550,317,
546,761,494,360,131,229,811,534,966,740,090,633,658,193,100,180,954,341,906,
417,814,272,810,087,266,670,159,810,831,469,190,982,060,408,542,653,523,727,
872,464,556,765,710,129,241,194,493,671,951,148,088,201,648,879,350,917,832,
571,922,817,109,721,951,269,098,926,597,741,433,337,176,249,069,508,895,306,
033,296,390,117,936,969,132,626,657,278,366,531,704,461,899,723,189,498,737,
058,550,172,623,672,223,546,325,110,584,356,313,029,745,084,650,863,516,737,
155,230,168,618,757,020,081,701,462,166,459,584,239,072,557,797,723,781,343,
018,462,093,938,151,563,027,353,214,206,619,060,130,801,080,415,525,174,553,
307,127,608,178,976,511,335,415,799,833,473,758,132,265,642,316,424,920,419,
481,307,072,457,546,976,096,771,761,440,078,772,635,550,234,039,662,287,173,
684,698,201,176,085,732,968,146,331,054,699,709,361,284,876,899,170,108,368,
661,863,318,446,263,131,024,666,364,173,385,132,066,109,195,197,482,484,951,
728,046,660,360,627,559,398,524,457,774,762,234,939,474,325,201,325,290,497,
538,517,848,554,078,587,095,695,324,610,708,763,162,579,573,121,011,441,570,
899,273,093,113,878,168,089,846,648,301,731,179,206,645,576,212,593,865,350,
851,271,310,348,872,501,439,077,139,486,084,717,229,907,578,908,304,961,257,
897,397,582,583,383,563,596,426,716,684,429,593,145,187,259,769,307,489,405,
722,439,388,876,398,663,307,847,512,479,865,960,176,309,832,051,137,815,930,
662,010,842,005,104,938,373,281,853,840,436,448,782,631,986,187,521,086,064,
754,008,776,566,807,194,423,434,407,482,290,932,021,899,832,475,781,056,463,
348,850,970,643,578,302,718,223,918,690,998,114,108,211,967,037,451,122,090,
636,190,097,026,438,763,511,927,873,153,378,488,903,443,505,702,926,256,418,
139,980,960,955,435,829,406,221,457,966,920,507,864,612,367,118,739,569,703,
139,924,045,608,115,327,711,582,614,124,896,542,589,039,143,527,871,905,024,
454,071,597,193,981,616,353,762,610,795,002,475,124,175,892,975,684,939,492,
796,536,115,857,776,248,673,655,322,308,736,852,089,187,209,775,526,090,902,
241,892,244,146,496,769,273,004,905,267,414,952,239,244,871,629,080,882,177,
024,460,797,722,814,515,937,233,898,607,659,192,953,442,300,978,600,008,244,
207,642,330,908,254,455,690,556,296,275,055,796,128,022,329,430,961,365,049,
172,678,199,260,260,350,690,105,469,962,123,919,262,052,062,543,763,235,215,
431,044,745,025,244,031,008,939,112,605,101,423,703,699,148,753,300,155,251,
447,850,500,622,248,749,780,778,133,096,460,865,609,327,794,192,817,059,915,
119,157,216,389,784,032,159,336,558,794,760,445,548,813,733,245,640,324,219,
563,649,334,739,098,923,186,738,518,045,405,675,575,260,782,388,386,336,484,
895,112,216,076,610,075,434,731,767,266,356,624,761,657,544,607,912,879,991,
682,221,827,125,921,170,919,649,888,656,372,304,476,532,447,908,297,859,975,
882,906,048,065,827,655,684,961,459,615,799,381,504,962,151,707,205,571,763,
467,488,135,575,263,653,398,446,262,442,181,172,204,043,185,704,117,444,076,
056,907,651,835,061,392,761,968,136,279,382,778,677,986,766,147,986,211,581,
773,045,750,342,983,970,847,802,582,913,193,768,396,542,504,052,910,440,625,
940,158,484,039,491,591,580,154,334,482,571,469,382,187,840,145,598,037,178,
781,497,557,430,466,771,702,939,029,951,134,492,324,774,980,567,238,866,776,
098,590,913,823,108,217,247,727,285,494,310,371,362,204,230,569,660,794,014,
655,295,943,343,897,356,582,297,394,998,273,362,696,943,856,844,674,709,321,
498,893,127,281,026,339,026,374,094,763,067,462,511,923,041,112,092,154,003,
352,268,695,513,681,925,276,595,055,669,748,877,984,115,446,948,919,771,905,
200,394,688,233,161,208,693,806,442,011,329,944,764,535,740,498,484,066,918,
858,423,917,705,199,014,522,396,215,667,461,273,357,938,952,781,034,420,775,
042,126,642,052,861,410,868,004,576,238,177,476,672,570,436,655,008,136,850,
931,781,396,126,127,572,240,599,529,858,717,409,937,811,928,570,036,789,951,
398,591,931,329,855,783,252,285,960,775,818,702,896,516,076,904,176,439,387,
854,705,005,699,915,385,708,068,072,486,198,350,634,069,111,675,891,271,332,
360,803,587,063,371,763,117,460,061,272,861,626,204,915,864,060,860,082,419,
708,855,395,171,082,055,205,001,169,839,040,118,631,273,956,716,608,032,231,
738,106,350,698,348,511,535,978,586,282,756,737,651,730,703,683,595,966,636,
924,211,445,168,933,676,230,088,457,823,192,861,838,769,749,821,362,924,470,
588,877,739,465,957,401,906,343,004,649,583,546,142,783,432,776,246,691,866,
444,877,972,981,272,060,378,409,989,576,525,086,023,902,823,130,218,665,116,
204,035,732,572,224,296,494,012,931,389,809,700,801,633,306,258,271,504,325,
967,823,604,048,118,251,924,231,228,617,224,079,095,164,544,256,216,992,204,
325,567,808,261,735,551,562,488,448,381,126,907,631,487,459,174,019,831,665,
798,476,703,319,449,876,112,787,126,978,210,171,115,887,850,400,854,789,162,
990,743,312,393,157,152,798,309,777,251,331,946,161,484,846,525,015,670,640,
163,897,474,590,378,012,483,966,140,793,805,085,699,906,092,729,928,560,236,
517,643,598,149,816,709,411,330,430,853,686,641,807,203,252,416,142,363,347,
609,871,459,992,245,089,758,667,385,761,988,531,526,461,568,237,108,423,868,
716,924,771,968,235,055,118,724,587,144,855,461,145,022,679,204,248,730,867,
315,939,249,994,015,043,321,410,632,238,962,901,471,658,832,093,498,131,136,
511,501,143,458,194,603,892,797,823,585,738,625,602,937,021,720,604,076,452,
910,055,680,578,535,899,130,056,007,945,317,717,395,909,154,992,721,068,744,
570,842,507,952,688,079,494,763,441,366,754,529,296,390,083,106,200,163,445,
340,987,696,290,813,273,441,860,593,180,368,259,078,791,496,062,597,348,992,
976,959,852,527,996,176,014,715,475,089,468,975,795,733,210,137,025,901,658,
266,571,303,872,104,454,716,053,723,486,049,317,863,068,561,197,977,517,520,
287,329,690,607,480,903,926,994,878,532,029,670,944,970,874,397,403,431,453,
011,266,631,685,492,691,500,075,315,907,572,662,607,328,735,971,742,294,450,
925,800,128,471,700,166,227,447,437,760,491,069,749,342,429,593,639,447,460,
727,929,962,593,455,180,645,049,275,565,376,062,592,585,886,412,694,211,856,
250,106,290,247,325,340,602,519,353,117,224,764,301,356,514,058,239,881,999,
299,652,954,599,044,923,294,667,507,406,032,136,229,604,591,986,990,637,186,
286,576,036,335,331,670,652,394,069,501,802,801,918,693,930,965,134,521,096,
690,521,241,604,094,525,904,026,646,426,187,922,289,414,368,307,706,210,679,
389,829,920,908,137,779,193,504,768,466,392,502,172,240,158,208,891,575,775,
295,803,077,080,371,079,821,322,128,658,928,540,208,221,183,986,805,453,966,
480,198,077,624,817,951,634,477,856,128,100,731,068,638,804,730,084,208,440,
001,878,430,396,463,566,886,060,310,172,738,746,521,276,109,279,982,303,457,
805,388,295,238,318,776,374,040,047,159,430,806,254,887,363,428,725,740,222,
084,101,731,629,175,998,634,333,647,132,859,494,201,201,317,809,791,262,181,
031,825,482,676,927,662,181,295,836,991,173,744,023,866,445,559,119,627,131,
766,448,461,076,758,614,817,682,142,546,070,926,801,720,726,385,408,848,057,
169,402,230,203,040,584,107,684,686,879,033,189,030,635,418,144,191,574,536,
520,385,331,925,998,251,874,592,949,876,689,447,407,382,980,439,994,627,188,
589,771,264,583,106,775,722,038,020,139,223,954,706,861,633,980,441,302,338,
297,794,278,813,695,651,439,574,340,182,127,718,401,632,090,717,383,729,533,
407,431,514,363,351,920,504,942,628,680,991,823,255,777,947,059,904,224,514,
700,561,829,063,183,774,095,381,825,412,627,489,883,158,281,083,176,046,796,
603,425,109,446,885,225,110,377,797,755,334,084,894,031,882,691,846,832,414,
986,532,899,435,699,592,344,280,192,003,831,954,825,658,548,614,001,729,189,
237,051,673,857,234,828,700,290,375,955,126,447,129,357,706,907,979,096,572,
749,489,414,295,847,514,972,166,063,283,417,507,942,378,474,368,176,073,259,
990,040,561,705,197,106,841,708,229,540,542,581,800,333,973,984,883,198,007,
036,641,125,317,712,184,115,083,149,756,794,751,864,275,741,435,904,469,109,
891,999,140,575,070,022,643,842,436,998,359,362,198,486,291,449,507,566,852,
978,159,474,357,876,125,244,814,603,595,246,772,380,768,760,590,893,499,737,
860,231,129,025,864,379,217,680,028,080,732,059,253,191,612,967,479,964,493,
740,420,373,361,173,350,065,595,837,211,103,766,962,270,586,731,185,185,559,
814,903,690,530,984,332,422,792,204,602,984,044,943,557,069,708,354,677,730,
738,254,510,750,156,802,392,510,281,409,920,749,491,633,008,615,564,092,307,
681,263,297,362,591,895,386,844,343,865,789,075,163,825,894,607,382,096,408,
394,847,835,986,629,276,207,602,326,158,163,292,007,412,783,234,081,777,744,
815,572,305,749,183,187,502,368,928,333,068,254,097,973,826,623,098,355,979,
159,169,234,409,632,575,483,836,921,837,819,174,340,478,280,619,777,061,324,
260,829,432,753,087,629,345,758,187,924,446,776,270,093,230,723,038,777,915,
297,418,124,777,713,383,641,090,635,891,918,508,791,717,619,300,975,733,535,
006,040,735,662,249,132,942,938,246,618,418,939,721,533,959,169,251,772,060,
895,881,229,917,100,352,192,226,928,627,829,129,690,514,880,322,421,689,373,
470,721,754,988,847,520,063,990,365,470,060,937,419,112,332,364,796,248,042,
702,861,698,127,689,223,926,752,893,814,514,021,229,450,689,800,823,548,457,
472,778,560,722,307,826,960,852,119,652,826,270,547,437,592,698,426,194,198,
690,114,105,411,155,487,239,658,109,781,676,942,684,016,331,387,079,603,525,
978,249,904,202,191,127,210,165,948,910,375,326,926,807,710,189,930,002,385,
381,499,217,986,478,289,130,174,182,389,906,294,708,695,403,576,482,315,933,
704,834,886,454,470,927,210,779,834,192,875,362,117,207,380,520,480,900,263,
770,537,218,285,049,396,495,070,228,522,297,329,488,766,202,552,475,048,307,
761,610,199,198,823,231,749,362,237,776,781,563,553,752,486,829,687,133,559,
197,289,998,310,128,462,871,104,810,013,194,042,977,516,994,929,378,563,849,
010,140,620,912,037,384,573,596,298,765,558,238,274,682,419,404,605,772,004,
351,429,054,316,805,177,150,447,186,390,822,193,899,524,562,964,627,184,016,
554,469,073,292,039,579,214,081,762,169,327,798,627,481,310,707,299,834,388,
812,986,994,050,593,625,853,514,758,152,000,879,541,060,025,212,866,040,220,
481,959,188,389,187,495,923,634,772,124,188,565,775,495,033,259,966,662,166,
864,743,693,478,059,226,172,485,831,277,507,519,692,733,220,047,017,667,975,
778,836,791,090,658,820,790,743,444,866,421,782,890,133,591,859,854,588,800,
067,101,812,748,111,038,060,047,954,645,204,866,816,483,257,225,084,226,443,
553,155,412,127,423,335,977,749,630,938,532,269,607,865,262,388,304,972,745,
153,800,733,470,363,115,557,330,316,250,197,690,929,905,100,004,293,260,812,
280,966,125,708,812,484,665,286,036,777,955,670,099,295,124,179,232,503,021,
384,549,917,085,884,851,790,551,570,848,360,646,090,075,553,327,561,924,217,
500,351,627,822,267,360,559,771,927,609,230,763,401,918,285,885,520,008,079,
475,482,857,883,721,188,857,875,683,056,062,969,611,479,906,244,190,677,596,
267,982,398,026,790,136,158,137,150,358,965,231,388,170,129,702,669,852,820,
905,485,295,362,339,470,985,140,575,348,669,556,523,629,537,636,522,782,561,
702,726,539,175,402,870,402,140,339,437,428,264,489,755,412,091,125,491,886,
097,642,121,548,791,089,309,522,240,168,357,718,933,087,421,139,215,428,469,
655,804,979,195,010,781,478,346,328,786,110,333,072,858,195,976,217,636,235,
896,033,986,208,053,949,525,964,755,878,229,819,513,982,889,941,759,275,277,
901,538,145,237,268,217,840,141,279,358,104,237,663,398,742,684,380,540,286,
674,619,091,895,123,986,099,607,667,190,529,522,410,821,311,492,590,837,740,
540,348,951,749,928,762,369,057,101,270,338,799,643,329,719,838,637,031,186,
467,057,157,739,868,328,934,075,358,932,548,759,074,413,387,423,754,096,236,
858,423,482,399,743,698,958,800,105,502,411,238,180,992,291,067,512,434,278,
459,970,580,000,423,489,790,881,746,306,727,058,001,361,642,144,768,171,146,
582,308,772,082,213,307,274,335,774,469,984,498,673,859,975,550,429,890,178,
240,437,518,116,291,413,407,801,449,853,102,798,013,031,921,196,388,794,490,
331,450,523,627,731,150,154,835,203,358,976,548,405,843,301,202,364,523,414,
400,177,388,946,236,028,848,122,327,587,679,288,554,090,839,551,204,064,103,
700,274,314,601,423,529,380,241,931,756,671,610,012,090,373,377,154,401,834,
576,849,305,707,672,767,300,708,654,107,846,158,906,026,948,418,407,583,371,
561,585,335,767,940,074,934,818,454,673,019,213,749,790,024,186,812,308,188,
167,826,145,506,268,905,615,582,778,077,419,787,359,174,602,732,090,888,668,
539,786,838,981,981,921,613,425,329,238,638,111,268,559,421,972,626,364,762,
531,323,638,980,127,708,796,329,386,270,774,084,699,475,318,702,653,020,278,
974,993,741,610,472,021,100,757,124,190,361,758,766,233,830,743,373,022,998,
265,357,545,417,309,497,363,950,054,711,489,495,258,305,538,014,679,048,949,
112,794,407,210,604,109,391,356,575,942,032,094,387,996,811,979,248,804,063,
346,818,905,258,541,088,518,505,084,527,078,944,994,705,032,177,950,446,080,
931,093,363,104,965,669,103,867,268,397,960,758,301,151,746,940,330,491,024,
741,924,753,620,069,159,395,083,293,709,909,368,322,424,653,629,862,947,537,
861,480,529,638,222,799,852,364,436,648,376,609,739,455,463,586,651,254,942,
281,769,348,269,311,607,195,361,598,095,661,989,536,267,519,658,702,341,749,
371,402,120,436,203,002,286,472,409,968,326,764,133,723,310,277,498,479,833,
727,586,387,958,973,644,666,899,691,448,972,825,923,909,364,497,057,942,487,
796,032,518,849,205,918,315,019,239,428,173,568,631,643,553,692,866,819,313,
954,724,600,012,313,137,884,808,985,450,041,836,629,481,389,928,183,889,948,
403,129,529,914,269,698,874,534,741,957,446,019,045,269,530,727,015,454,285,
799,912,496,853,468,100,733,482,477,646,632,250,091,846,643,941,200,311,700,
784,374,061,362,055,145,915,898,883,913,698,831,503,334,641,909,115,897,411,
485,578,523,801,526,993,657,071,859,734,226,538,016,591,371,585,436,142,202,
503,021,664,541,492,994,495,459,742,574,695,154,313,032,662,558,559,299,923,
496,298,313,405,692,118,838,007,399,193,148,544,175,104,271,428,470,403,779,
435,110,815,347,311,888,672,229,360,862,506,346,960,423,262,039,121,961,540,
657,140,099,028,953,058,429,787,718,366,781,118,072,388,553,210,492,679,392,
316,028,993,080,324,682,484,907,708,822,335,826,381,190,424,632,063,372,193,
859,637,043,286,829,349,400,755,774,655,007,466,565,274,754,219,593,040,409,
205,696,215,585,570,609,751,701,785,298,868,042,354,507,174,949,230,967,716,
551,137,440,849,609,056,951,332,739,487,805,579,484,391,075,464,693,959,975,
897,860,478,749,503,823,595,540,028,125,442,718,024,944,049,133,545,190,334,
065,581,552,305,017,890,598,115,951,646,111,339,837,787,573,929,335,148,919,
145,172,733,245,085,501,180,137,202,330,002,184,864,937,111,863,229,679,720,
252,733,189,617,500,605,990,876,357,940,521,871,164,628,502,015,505,077,118,
906,916,837,066,908,360,701,876,209,699,189,636,765,063,751,415,246,376,647,
746,056,073,636,072,675,680,270,901,475,778,643,052,554,008,890,706,133,582,
987,530,324,163,628,230,220,028,188,354,622,435,744,345,440,226,765,131,933,
890,470,060,880,849,837,839,520,095,293,875,169,779,269,198,243,878,950,803,
784,148,684,305,229,387,837,522,597,912,540,780,576,432,414,140,780,447,988,
201,744,314,605,879,117,706,534,854,917,971,396,622,380,959,807,292,848,192,
289,844,467,724,438,612,833,639,460,441,495,779,215,021,614,772,553,634,721,
123,957,846,859,701,050,140,893,706,366,679,162,636,518,732,470,128,026,037,
593,374,601,065,464,594,436,801,491,915,084,284,110,754,712,772,658,073,304,
604,072,371,484,189,209,111,970,764,423,505,262,057,416,290,644,864,539,204,
048,083,319,237,020,774,545,591,793,498,269,615,225,865,394,293,053,435,811,
354,505,566,457,865,803,954,877,279,316,302,435,570,981,309,608,234,468,895,
116,247,140,899,619,592,051,824,916,974,470,618,099,989,955,077,839,578,431,
814,786,980,692,637,932,745,596,526,964,308,994,660,590,894,756,739,370,872,
646,537,959,537,243,400,049,608,213,442,242,943,631,962,812,024,584,898,794,
106,425,478,036,993,132,001,846,496,133,983,839,282,431,554,474,879,593,410,
862,554,215,562,384,232,310,859,058,227,153,370,135,898,548,319,602,556,517,
415,949,472,871,546,027,722,028,692,794,319,288,232,973,707,000,697,449,904,
069,461,365,079,845,263,204,449,355,247,674,966,543,120,353,646,049,685,510,
791,142,731,094,151,450,503,905,491,595,638,582,540,188,505,190,099,135,381,
900,328,930,682,700,053,816,698,915,431,508,278,651,742,577,355,395,606,693,
200,099,672,856,114,442,412,464,587,491,679,652,495,302,423,688,956,588,803,
130,608,407,279,031,404,419,246,957,867,682,253,924,631,857,147,788,718,029,
371,752,238,608,640,022,257,498,792,401,702,860,290,259,613,928,155,866,509,
719,443,630,115,200,309,699,683,254,352,509,412,936,727,831,894,499,067,259,
507,669,075,613,625,696,985,817,878,595,872,039,006,503,602,599,741,656,639,
895,478,991,397,838,983,395,782,943,263,875,350,296,304,609,038,697,802,698,
376,481,357,257,590,455,022,740,007,463,541,428,416,157,626,820,300,023,196,
395,014,710,058,904,082,632,535,517,747,785,680,390,445,751,114,773,661,703,
729,260,931,507,307,014,880,319,823,364,410,044,342,889,343,119,486,807,668,
837,736,873,068,958,291,966,082,277,522,893,787,719,819,841,093,934,483,215,
134,907,701,027,578,474,228,954,833,947,701,019,230,658,284,449,451,290,057,
109,752,091,369,269,918,594,742,287,023,710,812,217,507,583,776,741,891,396,
852,124,898,193,830,778,406,570,466,044,327,171,615,871,804,435,486,163,055,
363,910,116,725,920,213,381,747,949,472,891,540,608,834,916,754,518,001,919,
009,336,499,642,870,259,621,078,213,713,471,756,031,942,807,830,875,228,396,
005,850,981,883,552,646,381,553,260,358,014,737,383,450,622,885,978,100,293,
431,985,657,858,793,815,485,571,436,206,439,262,635,283,412,954,258,091,431,
504,572,169,769,779,247,834,395,791,263,027,071,877,133,129,424,157,550,551,
962,313,083,840,779,462,528,016,758,828,236,701,596,064,583,498,488,008,446,
089,807,581,414,255,463,221,756,283,545,258,010,125,376,063,223,833,377,151,
409,559,715,239,519,074,488,612,666,051,817,281,444,822,262,883,696,274,047,
293,094,105,657,527,442,988,591,625,628,112,136,265,247,936,836,884,837,034,
641,376,890,428,195,868,889,267,897,784,912,698,633,212,039,403,106,554,739,
221,739,438,494,010,978,279,004,919,046,816,952,353,102,184,362,378,915,227,
271,087,598,096,759,829,089,034,375,877,842,847,601,621,700,374,673,838,641,
256,217,775,717,203,520,912,782,974,313,534,818,195,086,096,568,822,457,793,
471,207,983,202,989,672,440,856,874,659,069,395,897,443,516,325,798,698,372,
057,790,043,859,259,042,028,420,834,819,723,363,346,284,739,204,140,030,125,
762,338,743,411,401,342,049,108,515,847,673,737,459,290,495,864,986,376,005,
368,699,643,904,585,599,802,833,829,402,604,607,517,122,328,009,292,651,456,
232,775,454,805,084,976,386,464,171,813,962,015,882,051,608,153,656,808,664,
555,198,258,176,201,024,193,545,981,027,065,749,006,930,834,624,136,596,057,
084,809,177,523,328,429,371,762,465,517,223,418,129,044,461,310,889,716,425,
106,097,157,436,492,686,877,207,173,471,037,668,996,254,822,291,910,027,790,
912,102,482,523,866,156,561,803,583,472,661,651,244,065,153,363,619,009,198,
154,848,564,722,882,319,245,420,666,823,570,733,239,003,023,008,144,292,277,
302,064,479,584,525,683,467,177,883,099,084,328,277,274,587,465,827,123,188,
229,984,363,533,498,287,527,546,658,231,669,799,476,490,126,679,818,622,480,
040,979,145,726,459,723,213,273,737,455,844,040,820,878,138,387,549,085,796,
574,946,268,879,315,390,128,872,282,422,563,971,084,000,086,045,544,479,440,
236,032,256,909,967,298,772,499,122,909,875,578,050,214,275,288,092,666,178,
034,763,971,778,597,106,084,145,797,711,215,269,841,364,718,351,889,090,967,
985,174,951,442,490,716,700,296,921,826,104,547,318,588,241,196,002,356,444,
758,685,206,804,657,696,879,531,923,860,519,634,853,579,934,348,670,655,398,
187,995,639,311,004,658,929,850,078,906,321,720,296,987,199,903,137,055,302,
949,642,507,522,032,531,654,432,903,432,244,331,427,260,152,158,402,597,121,
488,420,310,899,646,605,952,947,961,188,720,065,996,565,720,258,802,959,170,
515,656,411,587,828,458,261,945,259,861,956,963,915,283,770,455,092,397,319,
886,797,301,791,269,564,189,779,404,496,992,155,831,127,124,459,963,696,824,
190,504,037,075,595,130,445,015,330,848,951,314,262,122,877,849,980,279,271,
916,254,041,230,834,506,416,079,804,013,464,893,574,131,874,676,011,363,312,
756,442,546,295,822,883,734,788,178,943,860,915,751,041,344,879,413,025,729,
527,891,288,238,642,972,479,597,502,814,361,931,362,633,049,585,128,139,759,
089,598,969,007,746,375,951,396,415,124,417,011,651,375,906,381,320,810,388,
604,784,562,317,428,144,101,459,695,341,948,042,467,230,716,123,745,171,221,
716,422,823,517,195,118,119,317,817,661,029,661,298,671,558,005,539,091,922,
071,170,786,190,831,558,854,964,138,989,846,771,642,742,643,044,872,520,773,
273,249,019,590,998,026,477,942,323,627,993,225,704,289,540,945,058,088,905,
285,707,801,365,569,319,809,940,733,198,174,846,760,010,102,624,007,379,097,
848,858,903,195,083,452,139,675,619,331,724,240,552,072,372,023,663,678,100,
192,089,627,242,173,154,324,694,346,782,125,260,396,241,787,822,409,580,276,
948,168,129,514,927,420,485,014,558,861,560,602,539,248,945,144,549,208,325,
113,812,004,533,390,493,062,410,436,496,475,128,655,342,833,831,731,585,201,
121,908,713,122,555,215,369,334,428,989,197,885,830,399,944,995,325,160,127,
311,366,859,831,394,049,148,703,365,785,613,173,280,681,837,156,784,041,115,
680,228,205,184,133,526,342,941,586,598,000,310,140,842,057,915,825,697,697,
980,819,844,725,914,590,194,989,972,964,395,353,947,671,503,883,726,104,044,
039,076,144,669,338,579,081,825,694,073,157,600,110,992,288,141,925,377,127,
355,677,077,819,375,158,134,788,348,527,046,426,049,314,803,330,564,687,024,
682,617,914,090,147,426,298,211,858,759,174,970,881,503,599,553,963,718,181,
901,243,322,189,700,088,481,127,954,992,094,933,747,190,039,036,519,858,154,
570,061,709,439,212,778,782,763,337,065,452,031,946,115,975,182,232,471,081,
655,159,036,264,139,637,013,454,601,451,540,151,350,764,760,942,473,420,350,
658,061,464,623,404,052,956,284,687,477,975,555,359,010,619,305,938,448,397,
851,114,633,735,981,718,051,679,427,699,449,183,953,816,444,569,800,350,425,
283,427,414,651,751,978,185,947,108,219,436,449,819,771,297,011,696,856,905,
910,052,652,819,552,886,217,831,673,031,555,472,794,502,797,481,512,533,809,
830,924,353,513,598,160,755,576,458,525,088,089,560,315,436,893,051,379,889,
536,780,403,541,554,349,972,457,057,975,202,515,070,171,833,478,687,777,367,
258,745,614,488,230,814,102,138,899,613,356,555,896,045,305,368,426,963,210,
278,883,759,544,196,127,804,018,833,722,561,908,531,474,800,362,379,173,119,
111,194,825,588,827,648,988,403,378,210,257,507,975,139,027,535,435,986,979,
353,131,194,065,028,264,137,076,612,600,420,091,738,155,155,409,514,386,443,
586,120,018,520,465,889,870,722,439,413,709,425,435,006,408,350,428,523,408,
573,233,170,854,457,891,061,662,746,568,072,182,367,151,972,731,054,119,511,
127,978,212,810,374,136,392,728,374,811,459,905,412,366,973,483,750,929,206,
176,243,488,460,056,941,046,730,642,226,241,353,878,366,777,311,476,172,463,
352,762,367,689,696,216,568,065,314,463,294,529,383,397,074,840,478,455,898,
938,585,562,009,417,132,800,468,264,002,896,814,475,852,912,622,412,840,755,
728,836,789,184,599,410,866,082,539,435,631,195,417,649,057,925,718,296,889,
280,157,975,251,383,514,235,117,341,101,715,718,409,777,096,343,377,555,117,
945,882,118,624,825,083,674,401,129,997,512,804,826,893,545,411,728,953,959,
043,447,402,604,406,557,158,513,844,215,847,321,603,511,438,485,185,045,332,
490,644,979,691,514,636,024,791,852,964,801,881,159,368,973,424,345,742,990,
000,623,189,051,445,650,541,148,713,378,477,772,707,422,346,644,623,580,447,
781,723,744,627,621,052,778,347,405,479,198,380,954,705,435,593,279,641,498,
815,066,520,860,334,526,091,692,275,004,333,307,975,782,230,485,529,218,077,
508,488,927,921,238,008,672,995,645,676,976,705,237,566,731,879,341,420,148,
684,150,008,516,117,923,027,637,597,580,711,740,069,938,966,510,512,198,497,
918,857,408,713,117,425,103,590,097,518,377,992,492,327,028,997,473,257,221,
053,300,192,311,516,511,900,920,936,147,716,029,189,244,906,326,224,502,490,
097,694,600,345,273,432,939,487,060,532,579,738,978,121,409,593,295,764,420,
127,159,749,457,868,708,251,108,188,372,664,713,338,881,600,071,358,753,228,
259,302,773,008,077,947,687,609,795,186,964,193,832,904,578,085,865,585,677,
847,926,083,298,328,761,041,438,406,573,676,982,873,586,975,904,399,552,444,
674,949,221,537,785,604,488,582,878,026,399,745,527,803,144,644,592,402,182,
667,721,261,028,694,853,505,845,070,701,045,850,739,072,698,647,117,939,255,
596,457,919,187,933,075,005,753,502,597,594,642,492,112,884,943,356,520,254,
283,780,703,088,554,756,553,565,725,007,665,604,144,229,099,795,218,179,740,
026,762,975,914,343,675,991,597,874,088,468,616,927,513,635,041,435,506,865,
954,825,098,718,496,965,385,473,557,664,764,705,897,491,384,462,101,289,280,
651,475,283,400,267,197,177,097,161,348,011,161,557,007,007,222,113,573,306,
854,645,550,424,701,786,801,683,470,829,964,107,334,265,568,687,966,511,259,
758,029,691,662,699,145,353,052,473,756,065,152,500,861,228,659,496,841,340,
750,970,076,616,870,242,293,048,671,917,198,559,226,217,601,530,212,823,651,
076,282,153,007,206,804,682,178,439,497,787,398,137,742,785,567,538,588,018,
649,891,710,884,219,210,243,294,498,718,664,954,816,558,003,762,087,363,971,
279,947,569,813,190,566,745,472,793,900,573,198,684,995,851,629,656,936,434,
102,027,433,378,248,843,462,567,737,343,078,370,635,138,512,757,717,874,796,
655,029,932,773,418,613,503,331,898,565,843,269,218,538,410,497,590,209,931,
701,295,533,229,396,413,007,524,890,489,331,283,050,045,679,835,274,269,487,
170,311,326,527,976,064,162,063,633,398,788,822,940,624,375,144,786,724,339,
673,807,542,806,065,937,620,785,772,454,392,742,108,038,169,628,185,639,125,
219,627,350,985,943,156,444,873,712,038,991,623,158,779,448,602,092,053,130,
783,973,995,085,413,265,850,428,789,996,497,941,044,071,177,355,461,672,207,
757,779,514,765,303,123,177,927,180,268,437,694,335,704,119,675,862,526,207,
614,428,818,892,556,797,351,395,134,936,988,849,943,333,860,077,714,297,396,
755,982,169,939,116,169,704,710,256,707,496,171,837,308,100,471,517,978,602,
833,812,622,917,607,970,632,675,510,362,403,618,201,746,210,383,760,107,639,
022,883,429,094,446,766,095,277,089,459,548,067,973,832,560,533,733,937,485,
239,007,235,306,373,343,323,988,700,601,194,709,831,082,881,843,587,672,141,
708,664,141,015,369,841,274,447,423,512,513,856,002,616,312,425,984,761,381,
612,915,388,932,574,066,220,733,742,379,749,262,497,186,628,906,187,766,343,
941,893,249,696,279,530,343,110,341,110,167,743,034,514,587,983,489,510,456,
976,992,701,700,831,892,449,595,944,774,531,899,496,568,691,647,833,996,861,
769,918,027,836,339,232,091,644,422,503,426,951,817,607,473,796,814,914,198,
334,810,743,200,199,144,640,509,264,390,753,114,599,913,687,651,697,400,892,
043,711,963,057,568,408,793,145,279,275,719,006,721,104,889,999,284,124,770,
981,243,787,351,112,602,350,055,736,089,638,182,884,396,827,013,294,707,251,
069,283,554,431,518,188,932,852,467,922,256,338,957,678,260,230,035,018,464,
160,523,129,270,933,407,565,002,752,017,111,229,185,095,274,894,915,121,928,
742,771,694,242,057,202,451,843,132,479,529,723,809,095,650,690,974,581,087,
057,694,600,912,908,851,859,606,643,361,345,004,677,795,324,522,369,399,200,
763,419,329,425,401,630,839,992,032,694,771,279,229,797,336,238,206,550,068,
324,860,932,565,514,459,775,987,193,063,611,541,693,002,492,968,366,662,284,
571,668,011,038,276,380,770,816,441,546,242,616,083,770,125,466,775,041,932,
706,491,171,212,201,507,376,765,073,389,636,686,370,013,063,220,243,009,934,
006,204,470,347,868,760,365,078,829,288,021,946,197,521,843,719,314,770,926,
595,922,444,014,172,523,093,862,393,361,431,761,944,503,120,328,822,282,301,
791,729,350,641,010,908,126,940,505,171,995,062,812,849,300,498,910,559,266,
977,257,919,097,024,870,287,205,897,046,859,460,536,835,252,743,861,697,937,
911,304,386,577,645,742,435,409,222,064,203,229,798,687,317,169,583,552,071,
426,951,070,873,082,811,919,118,819,997,766,985,978,251,078,140,654,731,574,
605,379,383,677,224,012,243,105,179,798,322,987,258,016,925,882,548,198,620,
168,439,001,119,016,541,385,040,490,564,471,696,353,478,595,816,513,943,657,
502,869,241,615,944,458,345,876,809,849,007,740,300,622,206,867,155,745,552,
781,875,648,100,681,894,968,171,188,528,466,901,566,503,927,822,880,173,655,
513,224,197,098,032,716,352,461,554,972,925,956,372,369,972,943,161,511,947,
174,060,131,075,803,212,404,030,597,979,903,778,069,502,860,525,520,051,381,
301,944,525,294,077,721,785,501,137,254,260,140,717,025,593,015,025,581,567,
126,899,025,451,187,368,896,551,241,850,174,344,959,268,928,378,482,652,917,
938,464,165,028,772,546,415,131,803,315,017,038,744,350,741,264,711,439,848,
297,436,449,464,809,261,396,861,520,434,370,545,945,693,489,733,226,023,622,
383,080,910,658,933,683,219,685,279,548,888,645,524,752,258,623,455,491,358,
692,479,868,896,753,119,726,135,661,462,954,510,044,722,336,264,800,000,589,
778,058,297,281,371,940,124,897,426,253,131,104,008,905,614,825,374,574,120,
431,772,135,137,880,753,429,158,091,909,099,158,959,618,602,378,956,140,456,
333,572,063,086,418,811,108,003,353,978,116,973,786,357,812,611,773,117,837,
888,328,812,031,602,685,363,863,465,401,011,652,000,195,530,253,757,508,534,
648,827,243,108,502,109,120,810,944,217,436,900,685,632,894,206,725,582,853,
493,515,772,055,181,071,593,455,546,164,984,531,124,873,289,322,070,427,349,
750,247,600,997,632,084,489,042,089,183,566,650,649,290,625,610,612,045,968,
576,284,956,737,899,372,326,505,122,909,367,865,068,136,268,759,084,287,574,
505,208,989,705,996,903,681,187,904,892,115,790,743,468,394,047,646,155,315,
898,215,768,629,371,728,238,743,513,715,823,368,770,042,023,191,653,488,721,
199,810,862,909,748,386,204,866,487,882,432,171,933,468,724,678,821,875,065,
344,634,498,458,395,766,603,581,190,224,446,512,595,357,730,307,686,718,477,
883,256,302,017,976,373,770,022,448,947,546,789,053,387,690,251,286,316,005,
948,361,045,232,876,055,122,866,644,085,892,847,180,398,255,879,903,753,443,
601,162,681,147,872,281,700,134,195,127,253,539,319,144,408,145,978,577,187,
256,619,091,419,772,165,326,556,184,677,993,785,879,920,992,994,756,082,229,
445,739,590,133,822,266,754,692,429,489,607,949,649,308,150,544,090,924,067,
008,939,701,203,260,760,080,482,675,833,058,414,931,461,687,724,064,614,161,
002,286,202,255,067,507,283,352,479,334,223,233,284,375,311,656,354,779,584,
418,820,899,083,208,163,700,896,616,609,375,133,815,887,599,574,200,328,211,
862,119,457,710,014,552,915,585,912,070,574,703,728,160,048,496,444,393,575,
872,078,525,245,231,966,510,366,213,392,343,814,247,473,394,837,087,770,295,
868,074,152,523,475,398,802,818,550,001,839,570,393,435,102,867,821,509,391,
342,085,616,082,001,947,949,066,257,618,405,637,502,611,396,253,783,556,179,
642,278,186,231,938,965,380,754,870,065,836,622,706,226,326,430,558,125,765,
053,633,647,279,790,698,808,214,920,903,585,456,546,481,727,772,781,732,096,
512,548,887,222,198,174,593,755,717,816,672,327,004,963,583,792,496,360,142,
144,077,739,142,020,368,614,501,285,044,771,397,820,388,668,358,911,354,644,
247,362,566,935,059,499,198,999,521,164,793,441,167,408,056,178,583,275,557,
891,719,538,044,242,283,466,573,722,855,123,801,803,393,650,693,360,205,630,
201,256,086,736,894,201,466,151,796,727,137,090,793,926,092,152,324,409,225,
602,742,214,421,258,921,957,414,630,809,653,488,384,060,300,877,166,450,369,
958,827,699,237,462,133,436,692,605,206,357,089,359,206,615,961,641,379,678,
878,794,031,337,065,812,003,482,783,249,179,401,449,881,415,831,648,891,399,
871,621,911,205,848,306,762,034,609,354,598,773,025,592,686,184,575,284,825,
396,904,960,919,011,205,541,787,234,854,146,824,457,068,468,303,264,433,819,
072,907,583,947,909,519,684,621,800,254,376,478,148,186,548,769,448,558,862,
346,931,791,519,024,493,113,826,355,831,164,641,674,015,641,561,446,240,433,
889,735,606,393,363,085,845,053,654,580,717,363,856,924,305,134,750,028,289,
618,361,197,032,576,827,724,657,549,691,197,134,282,790,380,455,122,832,585,
147,400,532,368,236,020,079,530,361,305,760,272,133,142,331,357,952,741,766,
135,238,919,140,302,842,279,866,735,763,984,224,019,504,996,276,992,064,662,
341,055,035,357,515,544,205,316,449,455,467,998,992,747,615,796,485,827,759,
624,138,236,522,156,354,216,294,022,074,102,352,167,478,476,177,199,463,759,
423,795,284,041,773,241,831,940,108,824,450,184,721,143,494,704,662,800,076,
960,030,281,368,642,947,683,824,639,078,159,135,062,335,068,289,531,789,477,
673,938,770,436,905,114,800,148,144,367,312,742,653,103,436,814,699,898,629,
702,140,893,744,792,035,868,624,453,070,744,773,030,113,666,134,971,057,881,
453,034,539,836,640,819,498,477,922,369,469,395,326,782,112,765,066,304,702,
536,208,299,603,939,051,515,369,152,261,612,362,999,199,571,904,757,094,955,
690,193,492,456,724,694,044,223,801,104,370,260,742,858,122,772,785,400,619,
272,440,062,152,663,408,920,387,286,210,800,499,486,792,539,075,513,210,006,
111,099,774,636,062,644,582,393,472,882,848,108,460,893,729,803,099,670,382,
356,161,096,234,237,141,228,974,353,050,661,469,602,965,542,815,145,127,672,
507,463,560,250,355,406,516,929,947,593,600,474,217,776,568,783,748,346,651,
352,695,861,868,079,265,870,674,308,692,522,668,081,312,355,881,684,343,783,
658,664,393,509,321,084,139,980,709,385,209,272,600,287,716,482,760,394,241,
787,793,032,779,631,928,238,860,673,132,635,437,471,254,687,780,790,329,969,
021,921,518,023,003,396,185,476,529,179,472,245,046,748,021,067,485,735,168,
631,006,549,157,293,988,997,433,342,298,512,380,182,384,814,686,623,912,150,
515,519,631,204,033,528,298,555,951,681,602,626,928,601,820,459,478,716,970,
622,480,773,987,839,219,577,675,181,308,834,703,736,787,585,752,893,954,376,
364,594,203,700,200,144,347,652,953,523,338,169,279,134,689,631,888,307,356,
402,222,311,013,344,196,959,789,525,647,381,913,149,622,801,709,819,615,516,
201,261,140,235,333,992,332,032,535,389,724,126,862,428,130,033,151,321,474,
261,641,657,264,353,079,547,950,861,140,486,992,654,574,027,269,354,277,865,
171,078,109,302,450,714,339,015,530,550,469,451,942,184,203,389,350,007,386,
481,474,321,126,936,491,613,252,809,352,243,071,168,189,793,608,281,215,755,
049,183,459,154,759,749,605,833,817,845,110,778,837,912,227,072,952,065,751,
939,168,535,180,169,704,720,420,637,423,798,343,704,983,578,477,108,755,814,
388,376,711,747,970,300,755,660,695,021,703,147,391,244,842,953,590,519,261,
978,086,560,601,526,522,034,442,887,407,880,747,276,360,069,457,007,875,610,
894,836,320,915,977,861,822,205,901,389,203,111,503,344,479,757,039,217,787,
560,894,087,938,366,146,906,810,000,166,344,365,127,623,167,101,851,849,367,
123,053,851,334,407,559,168,032,394,571,613,421,357,318,287,544,877,714,255,
288,351,591,842,372,193,563,005,197,472,624,113,342,902,173,536,417,332,576,
895,987,398,700,098,884,100,714,204,316,597,344,500,595,702,674,317,615,022,
546,814,144,327,711,446,281,731,901,234,095,625,627,138,447,531,708,024,883,
600,673,497,879,395,897,603,901,577,514,670,928,606,243,956,870,684,156,912,
554,567,659,843,484,444,072,654,602,652,960,736,534,478,880,947,852,010,420,
799,086,656,486,827,556,043,439,370,112,339,119,311,984,745,385,816,495,180,
035,450,734,445,948,219,908,789,658,932,975,031,015,958,738,700,376,582,541,
727,512,363,996,847,532,606,945,364,013,256,499,090,804,133,033,982,749,744,
328,541,385,351,028,320,412,571,773,761,833,168,759,573,878,358,056,509,772,
480,672,998,594,821,122,137,065,282,943,442,750,577,855,207,774,607,873,287,
535,899,980,483,947,534,040,813,668,036,078,849,181,285,449,350,431,025,488,
011,328,369,323,663,005,619,390,386,062,167,104,179,806,854,910,240,441,258,
725,400,794,053,909,837,785,545,925,386,942,956,158,712,562,686,143,507,209,
357,810,377,643,282,981,754,367,809,805,289,358,010,497,381,771,149,076,284,
017,598,639,374,159,508,795,493,939,606,928,752,825,965,185,931,895,111,586,
507,596,809,329,558,381,954,223,087,283,239,676,998,298,216,847,793,029,376,
949,255,584,689,105,569,724,342,138,518,927,120,874,902,974,243,755,744,866,
038,706,721,219,041,822,676,109,597,825,520,840,537,742,126,833,010,753,298,
120,758,004,617,165,499,613,519,746,896,581,059,257,857,587,201,359,859,833,
125,310,669,034,300,977,304,430,847,361,914,838,317,676,303,896,632,280,734,
068,884,713,135,352,550,812,073,658,770,288,140,180,596,851,685,800,473,927,
270,299,212,235,147,893,148,109,931,021,469,534,714,497,992,095,503,479,632,
007,892,771,226,613,954,414,563,557,998,334,788,916,351,917,875,895,857,604,
702,291,722,170,258,217,821,052,288,617,769,683,695,540,748,941,043,692,473,
906,644,781,247,808,199,505,618,827,646,175,052,319,673,574,140,023,979,495,
288,763,666,172,900,131,017,118,850,270,563,070,581,189,768,257,922,556,174,
558,258,790,171,680,929,787,007,026,971,683,368,628,387,843,047,422,633,662,
310,801,276,890,403,002,105,869,254,065,123,408,253,803,724,887,111,455,217,
640,598,569,854,495,446,950,720,118,989,354,466,985,530,870,208,054,878,067,
347,912,361,852,937,407,906,732,824,111,344,066,458,103,392,324,622,246,975,
533,565,292,362,331,707,631,419,378,358,033,749,197,834,631,350,961,018,383,
034,700,790,373,325,810,837,235,049,024,421,320,937,228,476,557,293,317,524,
188,182,805,468,761,271,421,337,492,853,306,880,196,131,282,518,135,841,914,
884,579,265,855,211,990,734,890,984,636,591,517,344,146,436,643,254,217,874,
386,070,975,916,246,828,234,163,339,047,528,287,426,963,180,257,122,942,574,
723,228,813,198,864,766,831,120,808,586,437,118,805,122,867,732,631,739,552,
078,934,448,022,114,396,888,391,852,855,399,013,282,401,171,098,249,512,340,
523,860,272,406,241,448,062,293,806,645,937,258,342,788,142,668,674,780,505,
298,743,222,847,616,828,885,064,074,859,562,620,593,409,417,121,105,195,551,
485,430,725,300,847,481,215,714,210,495,507,779,991,464,156,330,066,616,013,
734,605,508,871,966,136,485,089,639,200,423,630,259,563,901,257,372,942,452,
299,446,375,581,640,939,157,428,903,384,929,583,981,484,576,826,764,939,859,
472,084,065,358,263,969,731,201,518,793,709,011,253,493,538,572,898,555,018,
465,332,264,014,506,510,752,384,194,054,679,052,944,718,701,461,030,221,556,
558,987,522,163,706,830,721,504,552,206,870,708,826,758,030,613,093,372,430,
109,759,314,028,222,509,592,220,201,662,200,936,874,048,207,607,425,171,168,
986,200,432,713,676,009,896,118,208,024,958,386,918,110,381,519,388,886,688,
619,035,111,494,867,681,714,901,081,797,139,626,679,402,891,306,914,718,628,
839,961,671,888,909,502,274,281,640,611,514,526,265,291,020,964,514,393,153,
565,067,148,772,181,141,500,997,350,760,200,954,314,452,964,649,648,013,009,
664,816,302,122,906,286,083,153,934,655,696,305,590,320,061,276,957,588,558,
496,379,822,293,032,636,710,430,291,517,559,904,113,234,250,120,270,714,653,
906,577,755,152,243,126,028,675,387,424,255,460,391,082,860,876,243,572,001,
143,214,293,246,077,993,584,060,431,621,115,514,567,440,902,633,051,009,107,
111,897,291,143,495,503,574,156,466,003,099,570,841,232,868,630,087,944,603,
930,123,716,618,528,940,996,578,049,326,956,167,589,223,515,746,841,090,446,
747,537,679,787,682,861,537,246,879,183,980,930,623,687,569,240,089,665,905,
966,972,002,863,481,757,064,320,263,800,536,008,262,772,465,168,689,363,389,
459,894,772,527,267,063,812,763,942,032,664,512,242,592,259,811,186,102,437,
707,539,987,662,619,918,357,947,557,818,787,547,264,959,348,789,326,421,188,
565,092,512,336,495,364,013,709,389,803,101,451,006,966,294,411,749,304,839,
055,746,160,101,754,641,668,740,430,069,083,611,096,254,086,116,920,537,028,
948,424,407,562,771,106,205,765,516,592,271,505,830,216,343,065,027,896,506,
831,263,875,259,619,458,192,769,591,802,114,947,984,128,435,109,481,600,493,
414,770,919,760,697,968,122,040,837,186,267,381,189,087,027,755,635,209,088,
253,748,136,894,962,039,778,207,629,512,435,070,664,970,865,554,808,508,084,
737,760,414,220,669,397,780,332,676,075,065,349,088,977,218,489,371,326,679,
025,600,616,937,581,026,066,318,748,598,518,793,509,961,488,179,617,853,208,
667,168,119,120,634,824,339,555,682,338,222,471,017,896,768,014,591,601,159,
228,907,684,943,735,463,230,098,314,575,267,908,801,530,498,758,224,139,598,
623,824,859,185,166,026,958,138,048,400,367,390,274,885,787,158,139,075,335,
135,291,114,404,425,600,426,601,014,478,512,491,796,933,978,801,754,382,497,
020,570,476,773,198,458,021,223,038,059,620,111,530,238,847,271,405,396,862,
077,021,866,219,771,680,834,459,396,885,940,366,227,716,671,845,170,817,751,
358,211,556,124,654,269,217,805,675,113,776,826,556,947,402,877,266,335,703,
831,373,646,986,202,298,021,013,172,624,206,150,558,913,658,408,177,410,017,
626,271,694,961,364,603,561,765,519,201,453,849,238,448,604,679,217,973,940,
932,983,304,300,635,247,435,306,767,210,663,178,209,061,528,537,761,111,037,
763,545,009,476,663,986,729,807,168,415,331,925,949,277,307,320,241,254,428,
039,632,897,079,008,594,053,410,893,292,211,035,445,281,264,358,611,912,210,
807,215,438,042,216,378,853,172,562,250,816,268,587,822,162,279,815,204,981,
326,506,913,140,444,157,539,438,969,213,270,344,041,471,952,333,207,317,113,
184,294,886,098,320,019,583,337,822,549,984,780,486,457,907,775,122,009,018,
620,191,327,510,795,933,810,032,594,504,492,705,938,183,138,206,373,355,024,
875,601,611,952,475,297,287,461,871,030,353,332,207,630,137,547,999,725,998,
174,135,048,425,474,683,068,665,698,291,237,170,885,240,295,652,923,160,685,
718,598,923,108,397,736,664,402,929,108,965,401,154,179,615,396,529,608,115,
286,951,385,078,290,888,338,259,904,870,767,029,239,347,995,797,538,531,471,
699,220,313,625,842,427,282,057,480,432,848,701,111,265,487,420,310,560,527,
565,252,707,013,177,387,685,232,752,508,674,798,067,546,451,678,638,554,843,
295,059,903,880,892,675,958,530,467,430,968,297,931,125,918,631,843,988,846,
515,067,202,246,272,353,912,491,701,979,414,272,269,573,647,269,021,613,677,
494,760,571,169,026,246,847,461,067,239,229,837,268,032,309,140,654,228,596,
377,289,166,059,220,242,715,579,488,341,590,515,934,194,231,674,571,810,601,
946,544,083,858,979,681,605,808,767,884,271,379,255,050,700,399,829,077,035,
959,645,646,821,182,519,988,671,368,120,932,108,646,631,331,294,746,537,458,
109,375,399,859,559,631,145,546,553,953,649,659,534,104,865,032,818,791,240,
938,179,438,258,089,521,957,022,564,852,215,384,193,356,268,957,570,729,593,
555,906,327,432,944,795,387,007,156,261,439,104,928,017,004,402,660,924,192,
564,352,320,849,081,550,572,914,499,557,442,522,054,757,071,288,779,540,595,
991,123,971,117,191,375,369,503,197,752,980,861,570,404,654,568,000,847,590,
059,497,454,973,025,209,644,265,596,932,096,919,074,166,686,951,604,379,269,
804,669,112,545,067,658,488,570,969,152,951,599,874,066,222,376,201,052,083,
225,703,489,941,256,124,598,128,321,289,266,994,943,309,423,150,528,401,322,
073,402,536,966,359,010,826,450,960,826,112,589,370,981,119,610,691,789,252,
517,954,564,432,657,778,785,108,237,361,667,505,085,492,974,542,253,788,696,
058,970,657,280,835,169,606,040,316,365,548,931,696,474,769,442,502,828,828,
250,007,104,656,549,998,609,812,606,634,163,738,353,469,490,637,360,899,249,
711,076,579,233,948,484,178,563,319,529,720,124,178,059,047,897,735,477,650,
574,285,413,482,529,350,443,706,772,357,670,731,571,308,300,631,206,572,403,
445,438,066,543,309,198,141,938,308,888,268,104,925,572,103,383,382,697,657,
937,974,345,973,685,271,338,651,060,626,928,273,437,940,282,375,044,277,795,
420,720,104,871,214,610,299,782,984,094,562,103,158,847,975,249,506,596,599,
582,007,643,865,605,874,600,217,415,328,145,297,112,885,163,749,164,731,975,
566,054,378,660,042,345,405,252,463,869,070,643,978,418,010,275,855,666,001,
678,621,752,129,833,713,667,939,734,282,403,690,648,938,397,805,269,178,932,
012,456,680,770,941,607,358,874,969,951,465,773,265,676,182,273,099,468,917,
680,796,072,225,600,559,693,514,568,366,749,787,257,091,918,486,142,110,185,
241,051,435,246,153,372,444,887,731,249,444,023,736,787,884,319,433,798,251,
992,163,143,070,138,237,410,176,168,156,105,199,526,906,801,940,925,178,002,
154,498,530,736,184,372,161,956,799,030,478,768,225,272,157,697,124,110,791,
480,022,398,172,599,640,741,538,835,885,727,480,814,376,573,544,530,695,327,
143,629,056,576,737,876,835,942,544,671,114,393,296,849,956,606,733,896,163,
877,108,617,411,298,897,820,435,929,049,009,058,978,023,303,245,661,153,766,
560,356,404,599,101,743,556,401,075,969,809,237,703,283,744,546,566,361,881,
313,208,133,075,590,398,931,471,458,586,998,832,048,454,860,812,528,909,324,
581,682,679,001,791,985,460,315,987,159,313,847,299,565,373,061,528,077,952,
565,640,373,273,105,746,986,643,148,365,902,451,795,237,826,116,347,651,686,
451,914,309,116,913,360,415,932,117,981,925,539,237,349,860,894,844,227,652,
450,783,498,669,086,909,362,514,217,435,611,103,860,663,631,155,080,836,043,
924,796,200,458,044,997,378,186,694,347,554,118,489,326,523,501,598,671,224,
979,584,241,995,625,145,409,145,548,335,005,085,686,827,840,924,625,346,176,
920,003,315,725,502,720,493,763,227,822,493,023,155,586,415,565,292,374,578,
401,840,293,351,270,179,875,093,989,042,303,906,889,739,526,154,049,292,515,
877,342,805,585,362,599,373,260,371,566,721,798,439,004,432,509,893,320,875,
878,767,829,008,504,540,775,356,074,178,569,200,357,759,491,345,748,767,255,
840,624,324,481,973,414,006,752,192,016,702,079,571,999,586,200,979,526,948,
203,866,584,910,437,468,921,384,160,884,845,613,318,966,033,434,979,158,757,
115,102,463,677,806,561,286,018,895,290,527,506,500,404,933,589,662,208,970,
991,957,715,810,974,196,536,269,833,671,344,425,030,629,245,545,493,450,518,
561,861,200,416,255,510,716,826,656,332,860,695,183,561,314,269,907,844,355,
933,888,837,455,401,523,914,610,864,848,394,202,901,618,544,519,223,225,403,
762,495,740,969,949,143,512,561,332,521,324,971,849,671,925,866,623,588,865,
598,849,970,448,560,335,853,643,045,122,761,736,256,947,972,936,768,762,982,
956,573,187,604,459,852,198,942,257,516,290,096,088,003,817,280,619,376,645,
088,902,522,318,702,324,462,908,555,493,062,835,131,359,726,444,803,525,215,
911,256,638,745,221,105,363,630,099,055,111,394,501,658,699,369,585,534,802,
089,529,831,690,843,645,259,597,976,961,327,659,378,017,930,434,439,942,261,
451,690,330,323,063,330,516,349,954,230,884,240,221,327,353,106,511,154,171,
758,955,734,117,206,325,427,583,659,582,521,578,785,010,797,774,892,102,678,
401,095,944,395,761,429,820,122,340,189,164,804,947,263,180,478,968,757,682,
386,433,218,451,101,090,863,534,066,242,865,424,234,705,883,066,895,430,518,
431,952,523,486,357,766,188,694,218,542,156,419,833,170,092,587,962,369,937,
223,640,709,620,892,909,539,192,027,741,257,960,777,881,445,331,356,928,327,
828,380,155,839,512,274,372,260,521,127,466,856,465,160,744,281,075,522,857,
087,803,960,155,645,063,566,964,640,930,870,718,855,451,932,479,853,577,345,
815,244,358,110,278,627,557,653,683,439,601,499,106,023,314,401,958,480,908,
514,915,686,768,034,008,659,975,173,841,108,126,550,166,936,434,148,822,423,
268,192,556,969,218,516,210,695,544,819,251,689,970,263,601,013,904,766,523,
537,645,449,174,004,021,478,110,809,025,757,118,759,612,705,298,581,820,709,
400,230,648,218,616,008,882,733,252,210,739,487,985,913,454,154,146,877,473,
819,911,981,676,731,382,271,094,819,855,487,403,678,593,942,388,494,886,073,
445,814,766,318,313,479,873,329,026,844,059,452,314,013,696,477,242,993,255,
207,827,871,092,434,107,604,085,830,720,190,506,538,815,542,375,479,147,468,
140,142,991,439,814,914,591,537,796,753,996,670,268,438,651,147,224,212,949,
524,003,452,334,555,670,828,162,904,512,209,361,499,352,197,843,181,644,503,
803,459,248,382,510,334,122,337,047,472,765,628,238,736,278,581,348,972,207,
767,902,983,707,973,530,396,372,975,505,498,278,331,673,918,953,577,221,833,
617,214,536,913,934,609,997,341,777,845,329,459,730,245,113,403,788,121,007,
263,114,735,068,567,068,477,621,527,615,713,643,789,316,418,630,167,424,427,
084,149,518,253,256,072,248,128,299,222,438,639,649,324,401,474,490,564,760,
507,722,642,866,956,463,900,448,321,337,742,171,640,703,311,058,423,289,545,
219,255,957,045,511,901,227,146,178,352,793,541,503,113,122,699,087,364,604,
796,256,931,945,820,385,244,051,663,265,367,444,699,809,785,585,427,146,364,
379,923,159,550,439,740,684,843,173,377,261,918,472,550,353,688,973,013,335,
747,840,826,037,382,958,134,557,106,685,571,543,992,821,489,267,540,363,216,
313,398,962,776,043,393,585,608,285,974,403,071,371,957,305,825,984,282,192,
321,422,181,686,678,500,923,865,277,583,472,818,759,690,011,307,300,650,991,
467,642,475,415,813,324,234,896,672,035,115,403,031,008,132,420,831,685,192,
945,831,253,849,258,704,035,145,540,211,635,556,768,455,770,396,802,710,848,
097,627,688,135,116,354,841,008,209,060,213,950,791,903,947,244,949,081,081,
404,128,449,224,494,616,187,148,037,814,643,566,968,534,144,828,965,107,471,
747,919,171,287,404,041,174,104,381,765,592,568,261,728,641,174,499,779,090,
726,209,252,767,022,864,765,514,208,743,042,296,049,332,817,552,591,367,965,
603,622,280,090,137,744,136,398,269,611,635,673,889,142,103,418,348,010,537,
846,511,708,938,398,104,478,863,092,134,254,825,502,141,861,237,012,786,524,
021,302,876,829,695,425,525,806,513,255,153,931,634,669,477,835,365,737,729,
420,746,025,361,883,770,781,881,254,502,187,003,124,062,567,123,331,072,954,
730,725,337,674,595,321,187,350,539,338,530,146,117,298,794,067,215,636,351,
965,326,316,589,475,058,605,572,608,366,887,250,725,695,721,561,267,580,662,
141,159,554,294,301,840,933,659,998,540,747,215,171,684,167,555,447,036,853,
169,968,166,066,476,473,002,471,224,482,971,512,861,771,256,785,288,542,262,
427,298,096,492,458,061,589,535,144,066,710,304,201,457,872,772,861,718,487,
856,825,098,732,380,957,867,517,333,364,386,358,296,778,380,778,274,609,454,
405,486,854,007,069,558,026,662,619,889,493,364,637,092,919,117,940,936,002,
953,571,167,941,543,877,405,416,665,331,386,157,997,921,586,879,637,191,182,
200,351,128,114,202,725,367,844,574,426,675,103,441,840,595,821,221,172,602,
929,874,599,136,537,884,903,704,080,128,723,472,157,668,726,791,817,034,243,
577,035,138,260,689,644,110,943,786,490,413,595,344,253,404,671,526,802,705,
920,831,201,461,644,787,809,666,070,002,782,731,919,702,425,240,909,007,814,
575,920,226,594,893,620,503,193,922,262,327,957,981,171,830,885,712,346,235,
267,197,495,030,007,728,689,397,996,196,029,188,948,565,488,531,207,560,441,
467,602,952,461,456,483,110,988,187,250,881,528,464,231,245,176,132,174,496,
926,868,590,090,924,344,174,614,061,908,443,884,404,914,422,507,464,242,185,
389,525,898,935,010,542,949,483,466,324,562,661,250,459,560,582,743,269,997,
638,663,373,873,485,556,333,227,637,233,973,799,134,972,642,230,445,386,978,
909,380,732,569,720,817,115,776,718,004,022,573,427,531,517,928,133,444,644,
240,488,109,558,764,549,097,158,561,739,935,334,555,733,545,189,151,473,637,
111,018,557,929,429,852,265,594,763,705,069,664,064,940,378,208,279,334,420,
202,765,784,875,660,406,541,918,978,397,128,665,555,587,473,734,224,424,997,
833,340,448,544,162,752,128,593,202,488,178,201,972,661,853,530,871,966,749,
690,566,378,001,149,785,608,103,162,265,934,651,102,404,394,266,360,114,700,
300,103,410,621,013,348,017,889,444,590,628,573,170,734,556,861,473,970,949,
967,817,566,978,758,504,040,713,913,930,858,533,493,234,109,863,291,780,324,
018,852,502,054,516,111,400,931,027,835,447,838,089,408,975,395,888,745,005,
373,287,860,833,712,466,858,379,340,876,657,298,964,551,057,938,301,177,323,
054,693,477,500,535,085,943,490,049,018,479,872,571,496,216,306,736,590,266,
000,677,237,003,330,454,632,110,328,275,673,821,871,001,902,691,599,373,942,
944,538,873,599,524,065,052,114,870,054,493,157,450,886,293,578,560,962,772,
871,974,171,296,888,140,584,065,013,837,656,006,320,490,221,805,312,064,326,
272,629,397,681,795,309,442,303,655,531,955,207,476,040,312,908,887,172,310,
623,272,799,779,117,102,446,803,558,141,855,442,307,502,082,290,821,130,706,
580,080,533,256,349,518,802,017,823,801,605,884,957,050,386,269,941,802,823,
096,217,831,438,468,337,839,072,430,620,730,215,802,980,611,055,107,111,792,
794,194,034,393,893,900,264,290,851,518,761,789,763,954,367,103,738,194,421,
597,911,357,966,385,877,280,562,463,751,300,925,132,025,660,201,768,371,972,
122,234,577,198,135,906,167,411,487,428,908,366,738,069,133,498,184,298,985,
456,505,392,638,523,297,140,098,516,181,040,750,316,117,454,280,644,350,548,
255,658,656,667,901,404,142,052,061,259,259,398,192,430,724,803,599,731,942,
318,160,426,147,022,035,027,980,046,889,388,677,731,331,338,055,796,261,639,
320,123,825,085,727,298,187,028,711,612,114,670,193,096,788,882,415,370,251,
216,855,677,288,135,126,477,818,543,127,159,976,260,600,150,747,180,258,538,
082,248,442,174,755,057,850,276,162,784,022,671,413,520,413,201,353,610,472,
072,071,637,000,445,747,350,189,477,113,824,863,275,299,191,271,371,149,053,
902,424,251,972,610,121,159,622,055,860,354,712,657,711,423,212,248,190,677,
576,126,489,032,673,629,956,878,465,725,487,601,261,437,753,156,340,779,662,
599,555,513,785,504,222,995,549,696,219,834,558,550,130,319,204,125,140,401,
343,340,056,225,057,377,349,359,435,543,895,654,883,218,120,679,495,251,541,
949,563,941,664,444,384,681,244,460,432,792,157,155,932,717,383,127,050,609,
383,455,725,453,848,420,622,134,542,859,891,989,784,458,256,827,316,567,765,
698,724,086,698,972,610,508,641,938,033,788,882,007,023,871,272,098,954,123,
413,776,006,242,282,091,911,886,481,301,260,353,316,881,889,625,295,759,158,
505,168,237,973,246,473,803,082,072,450,276,970,633,700,072,333,719,311,930,
866,579,289,573,852,427,309,292,916,691,395,450,479,838,553,240,297,848,822,
488,821,900,760,977,737,800,612,199,868,799,695,961,965,612,253,064,998,568,
143,561,022,783,864,354,149,081,877,935,204,277,727,640,006,408,236,845,078,
232,755,120,123,418,505,400,299,521,455,453,862,968,257,472,423,008,915,051,
803,771,560,647,302,430,272,376,840,528,628,436,621,940,575,132,659,263,163,
378,644,801,925,189,893,628,215,664,513,385,707,628,886,791,580,236,570,837,
952,971,632,381,080,812,690,831,628,663,856,629,775,753,099,576,658,112,053,
109,923,662,939,367,314,142,665,833,726,519,535,593,855,657,721,717,883,966,
085,301,434,629,039,684,528,560,122,040,319,982,417,124,931,321,394,652,122,
747,147,414,412,484,356,845,022,241,575,789,700,261,853,702,069,413,346,520,
094,989,146,004,708,518,395,817,328,445,378,578,956,260,151,500,481,725,065,
602,079,592,092,867,520,805,778,097,660,353,324,930,992,511,372,525,278,755,
654,050,101,711,116,124,784,550,626,496,376,090,076,178,214,510,567,372,063,
038,264,954,212,729,649,553,394,963,001,078,783,993,190,258,412,072,793,245,
278,766,276,409,290,046,533,527,225,114,272,102,062,102,959,714,348,807,034,
236,945,323,886,552,817,959,269,813,079,134,198,464,295,751,196,016,516,727,
240,752,590,293,689,893,064,688,681,292,863,896,402,567,803,337,229,893,156,
567,696,942,540,934,776,563,470,292,791,600,767,380,931,153,089,352,576,674,
291,268,755,280,671,939,280,581,151,680,259,419,698,856,272,634,672,185,513,
396,444,224,778,344,952,880,321,239,825,680,493,394,968,747,431,484,995,527,
003,542,002,172,193,366,643,214,066,388,362,163,695,669,903,832,403,012,454,
499,189,696,476,847,520,524,681,405,153,520,306,101,416,088,048,283,334,192,
227,799,796,467,607,311,213,328,809,637,890,291,277,271,224,062,833,385,627,
275,731,773,884,482,447,934,970,217,340,075,975,011,961,025,416,868,248,719,
653,587,288,393,315,675,322,447,959,504,462,543,613,752,932,693,075,130,917,
065,785,371,937,595,774,375,041,939,453,583,480,400,976,306,511,007,839,511,
621,221,634,371,342,350,878,541,303,129,165,667,840,481,586,358,901,392,812,
616,804,203,995,185,339,845,698,735,929,133,854,424,290,579,637,072,174,898,
726,211,698,309,828,148,695,173,765,778,599,801,060,753,871,045,411,418,637,
365,819,958,136,725,087,881,951,474,706,108,844,262,691,912,746,132,149,332,
898,148,651,043,649,364,335,039,819,202,576,766,549,228,543,026,769,844,539,
719,903,990,973,581,839,781,811,985,547,904,561,441,898,703,197,752,430,901,
070,132,001,790,851,144,907,246,752,586,265,695,540,992,382,473,867,972,249,
400,977,591,751,457,721,748,062,251,979,681,675,660,125,574,553,242,775,165,
366,422,944,337,550,948,917,503,206,940,186,179,438,303,741,597,203,391,359,
115,638,268,827,832,326,104,593,635,764,303,716,353,273,181,878,505,902,235,
221,763,205,768,817,786,473,707,176,481,277,009,044,558,730,025,773,968,664,
934,805,375,692,751,257,934,121,484,812,597,149,588,469,235,502,604,777,951,
397,119,970,291,566,301,437,031,146,836,874,993,705,257,085,153,355,179,543,
418,234,028,443,405,374,592,911,726,099,383,754,467,092,200,455,352,464,091,
283,680,025,142,129,254,824,316,586,793,008,155,670,929,799,020,049,821,066,
719,419,690,114,451,708,341,944,861,633,440,904,952,325,301,827,949,904,560,
657,926,134,768,408,012,113,315,264,260,426,154,985,755,319,542,164,624,196,
163,782,049,701,559,539,639,295,177,681,904,842,796,147,893,465,137,566,518,
013,207,282,737,060,930,304,112,888,945,072,912,801,238,216,040,049,790,147,
282,801,728,959,966,507,457,416,854,197,798,022,600,283,457,593,864,444,032,
173,975,128,512,018,429,714,214,614,702,081,003,848,857,710,513,850,236,602,
530,474,909,096,636,013,083,614,252,562,757,990,449,773,125,599,238,708,329,
454,825,644,613,112,377,327,484,256,416,943,010,248,233,217,938,880,667,678,
990,992,329,740,562,933,767,346,064,903,813,785,565,674,681,021,145,547,231,
678,775,378,179,277,929,059,149,096,784,648,708,302,063,819,131,577,792,532,
042,809,210,966,237,704,866,737,212,003,429,808,741,450,986,921,745,997,567,
419,709,990,420,918,041,160,276,579,893,637,382,646,895,617,454,856,942,296,
453,824,822,866,785,605,421,108,237,222,591,844,156,548,735,928,666,369,857,
557,947,242,463,048,372,137,158,483,789,142,918,119,942,491,848,576,498,818,
987,756,711,263,074,632,588,819,872,206,962,449,280,551,078,975,499,607,886,
366,255,262,893,936,592,735,977,015,194,086,863,029,802,896,728,048,769,351,
139,061,399,408,314,486,628,722,484,892,389,198,387,168,475,912,147,794,701,
699,461,029,612,914,902,441,387,666,118,987,936,365,867,958,949,059,287,691,
380,491,707,266,464,382,790,507,749,702,569,785,597,941,364,238,872,457,775,
502,339,164,164,135,654,322,327,585,517,589,887,175,951,972,080,871,437,132,
255,454,465,750,713,993,847,878,182,326,067,290,384,820,119,511,318,371,513,
849,120,773,984,579,010,069,955,015,256,440,204,200,630,189,723,470,362,776,
475,126,986,527,970,424,443,517,219,055,167,748,739,763,115,522,957,043,885,
098,242,286,864,210,990,858,688,942,762,924,839,818,102,742,641,201,999,018,
049,297,337,768,930,009,806,077,875,244,526,319,086,811,347,056,713,709,722,
709,112,688,084,510,300,644,973,855,487,913,812,402,060,424,799,917,461,764,
343,510,955,464,578,626,380,640,118,095,060,327,620,196,640,520,548,201,444,
498,910,620,835,853,664,712,754,732,283,467,674,445,733,393,712,134,867,886,
420,939,788,427,725,749,783,767,247,362,111,967,086,196,185,149,316,819,769,
062,336,557,432,008,954,269,164,374,909,610,485,063,261,110,510,537,873,562,
855,023,086,941,249,372,697,504,323,725,400,971,307,864,662,334,983,344,253,
006,410,914,380,093,570,271,527,803,594,823,485,245,310,464,947,953,095,751,
490,937,497,141,691,594,984,882,774,554,925,006,216,418,870,116,696,836,825,
740,917,844,087,903,800,253,959,424,522,193,002,883,769,470,559,453,533,407,
868,807,943,252,189,160,015,167,340,553,889,671,860,039,889,227,306,722,983,
522,943,282,092,042,641,020,698,774,110,810,072,191,998,762,917,996,454,019,
761,683,550,716,675,320,764,138,758,880,814,031,740,876,251,390,039,930,262,
724,257,994,080,893,591,864,341,118,090,805,281,810,175,601,098,289,264,880,
843,226,801,574,238,866,816,075,559,925,197,477,340,369,158,144,412,127,142,
297,720,188,557,811,260,423,474,850,588,095,933,014,261,084,385,125,745,468,
017,116,732,697,369,860,515,247,000,941,585,169,079,524,405,822,623,671,674,
009,109,356,867,575,487,326,173,877,749,422,532,491,881,689,233,528,333,383,
622,665,086,828,539,570,633,134,641,825,007,094,738,354,418,919,023,181,786,
766,811,071,884,844,495,817,879,222,999,750,434,070,396,012,026,118,443,155,
200,046,655,437,261,327,044,035,896,839,394,113,512,240,662,243,577,616,670,
294,414,709,065,129,843,859,355,378,246,665,284,893,665,028,412,326,821,017,
138,629,174,862,946,832,202,255,112,127,578,193,502,322,275,341,519,536,741,
766,529,475,524,588,227,245,555,094,580,394,625,592,012,517,120,512,629,052,
230,924,098,796,956,222,049,695,329,675,621,700,583,667,917,041,683,173,223,
564,981,871,049,459,624,611,569,275,595,601,624,977,888,890,194,627,368,099,
373,599,297,793,231,396,643,767,948,970,164,569,386,755,927,760,640,037,064,
772,155,768,751,365,284,365,377,053,056,099,946,552,031,095,099,378,760,884,
337,456,814,389,574,765,499,704,682,600,691,887,290,138,201,944,182,693,263,
046,546,705,679,209,002,832,084,145,072,827,157,183,716,229,633,548,029,724,
585,766,393,285,531,817,357,648,076,488,134,069,699,475,688,179,743,419,852,
431,135,849,729,152,737,134,433,366,139,595,629,743,193,131,994,023,196,222,
150,523,211,605,380,875,121,505,732,646,242,931,984,334,979,240,371,578,376,
458,879,643,535,083,777,455,678,823,525,866,203,208,433,125,424,062,641,512,
572,348,898,335,957,357,149,551,745,136,107,093,644,781,105,983,706,212,858,
212,808,304,600,244,171,055,979,849,470,130,025,414,546,442,926,606,540,383,
136,241,970,416,192,088,124,045,331,024,677,462,617,525,486,989,399,957,137,
665,502,026,737,228,561,216,119,078,306,775,428,107,241,246,851,256,063,099,
689,139,159,545,995,530,489,800,499,831,199,254,961,729,717,624,191,966,976,
303,871,725,206,781,632,992,078,654,386,808,301,328,734,613,520,069,192,971,
532,977,820,221,551,207,392,186,491,802,982,083,776,375,351,031,709,298,448,
449,798,563,626,117,537,037,735,402,487,290,132,759,523,024,587,685,086,144,
897,477,502,125,400,976,763,368,527,945,032,332,788,211,391,041,843,566,351,
825,595,973,091,862,563,080,487,408,006,932,607,189,194,792,273,699,807,785,
595,049,855,213,133,294,714,307,057,994,835,357,799,999,460,416,465,193,508,
333,252,413,067,859,749,138,558,550,547,534,184,234,189,582,319,070,618,772,
183,633,361,359,070,992,639,149,766,613,667,478,864,287,942,797,854,108,534,
734,902,033,593,617,768,941,069,837,270,554,370,446,652,804,654,858,528,856,
458,513,734,450,812,365,109,438,071,305,516,488,705,421,263,413,113,044,476,
966,724,665,474,866,648,122,988,882,287,849,743,102,406,276,236,665,288,430,
544,934,153,570,281,075,162,168,381,145,355,889,201,007,392,442,001,837,406,
740,001,432,783,113,416,855,571,172,336,779,045,283,691,773,016,446,608,186,
025,170,124,113,170,528,169,691,916,045,937,945,307,977,366,764,799,032,214,
794,645,613,669,690,738,779,087,909,899,793,991,228,207,464,704,254,263,105,
070,942,626,517,887,734,648,645,756,978,786,149,703,015,239,662,295,895,021,
239,503,476,053,542,622,147,493,533,081,934,192,245,891,203,494,396,160,011,
781,058,774,171,986,320,290,938,038,267,178,064,543,722,448,595,696,920,793,
487,329,441,538,836,021,566,365,691,315,588,979,239,573,551,843,632,958,801,
283,943,457,094,342,724,972,616,176,142,531,364,419,290,930,822,882,942,692,
317,134,467,364,741,704,687,493,814,206,832,506,225,556,486,340,071,721,737,
839,328,519,799,123,840,246,430,443,301,147,942,939,656,145,148,255,892,317,
506,159,047,737,110,014,191,902,103,856,879,544,591,307,386,750,478,139,761,
502,037,918,358,691,911,684,367,599,786,664,496,749,557,489,811,821,130,005,
896,635,137,952,338,504,933,775,030,699,333,651,583,376,266,677,161,575,650,
771,148,517,383,340,661,783,152,199,623,351,886,171,452,483,763,920,291,339,
900,067,827,895,932,594,924,925,386,438,029,865,076,468,655,639,139,622,634,
490,916,331,784,769,351,298,787,633,587,533,211,952,093,828,227,405,965,038,
114,579,105,751,378,479,817,174,443,031,654,321,872,331,744,177,099,934,062,
021,822,080,352,838,330,574,352,159,512,604,776,918,834,561,270,783,390,041,
368,292,153,619,215,798,204,212,347,747,067,589,472,534,530,028,942,349,702,
579,326,039,685,101,288,623,114,249,078,646,566,965,613,972,807,504,768,170,
490,669,625,386,270,460,581,043,469,822,634,289,984,238,164,629,225,867,992,
103,504,683,549,714,217,352,059,965,337,663,594,308,327,187,525,355,985,365,
926,921,178,544,413,645,302,315,202,803,417,838,700,902,223,480,056,597,465,
043,402,282,516,878,266,931,623,116,842,969,190,749,373,387,909,524,832,838,
017,644,632,475,157,971,762,498,707,280,680,102,115,918,398,622,346,593,462,
883,499,465,944,613,354,956,929,194,080,686,816,441,758,857,601,196,918,669,
819,818,976,293,991,575,404,901,830,394,481,089,494,542,767,643,024,342,044,
826,659,075,787,891,440,045,929,145,111,872,729,852,742,389,892,543,026,027,
395,263,543,504,023,367,025,440,195,087,810,531,907,019,660,929,780,257,857,
788,606,880,797,644,733,031,145,680,092,214,591,197,576,411,337,361,608,902,
044,624,758,603,835,760,226,879,480,821,671,930,859,987,239,825,924,994,256,
281,130,207,706,170,786,335,623,681,738,523,530,167,125,644,912,781,136,578,
581,699,080,770,157,682,713,219,895,575,537,630,050,607,910,004,867,197,429,
104,326,900,105,052,905,130,037,036,996,844,900,860,587,566,959,623,250,103,
111,509,334,157,339,803,259,723,749,165,148,996,981,759,124,937,468,305,767,
343,898,774,801,196,416,563,533,493,325,596,566,075,822,208,518,931,684,782,
485,815,862,758,246,573,004,182,883,179,297,330,291,366,266,626,535,958,846,
835,048,519,852,975,444,483,241,474,367,592,411,750,544,189,739,820,607,166,
273,592,567,648,454,425,516,422,003,278,832,930,269,459,017,429,872,301,205,
806,085,629,909,653,430,019,196,683,222,448,473,816,193,593,670,060,061,357,
945,362,592,736,881,023,082,948,608,407,438,853,370,733,591,625,103,276,979,
243,353,234,029,548,629,035,586,340,010,333,844,903,899,402,747,844,167,466,
693,475,943,715,040,829,595,647,588,358,483,765,231,702,619,965,897,687,523,
397,215,491,625,510,736,240,316,092,578,267,106,513,503,939,140,622,566,492,
678,470,754,375,317,265,002,623,789,753,079,670,052,573,888,340,426,487,314,
125,495,550,095,591,053,456,120,555,653,488,662,745,472,154,145,158,300,214,
278,925,806,550,646,602,073,731,900,808,811,110,078,724,503,157,348,209,454,
169,536,619,346,185,399,967,820,756,348,920,406,596,294,682,685,137,273,487,
478,835,463,280,648,680,320,207,320,054,136,860,102,945,778,814,456,409,452,
271,065,148,634,327,635,722,528,430,390,666,053,724,669,132,705,784,396,607,
248,977,019,272,966,365,875,202,777,427,999,055,622,201,368,271,522,223,280,
318,406,684,154,248,513,491,772,054,605,283,198,475,383,645,569,029,679,686,
882,053,092,278,780,123,079,499,679,958,503,623,328,790,534,195,168,988,894,
824,238,553,146,543,664,043,899,286,636,254,747,316,699,294,092,280,329,980,
034,810,742,237,418,068,460,157,597,108,723,503,045,242,622,996,925,301,415,
926,924,401,463,096,580,502,651,906,899,708,069,643,958,423,237,386,365,466,
650,876,757,817,337,599,520,545,853,226,415,464,451,749,709,586,120,805,549,
140,889,638,164,567,212,102,119,474,506,953,391,380,736,340,620,754,256,662,
006,751,323,938,227,986,777,448,229,038,560,585,219,116,457,482,465,269,026,
201,462,957,321,507,675,725,734,846,147,984,239,505,746,200,330,304,233,779,
051,487,965,718,191,471,206,812,409,197,141,129,593,362,217,747,274,893,982,
753,425,593,701,119,855,622,769,076,860,074,884,635,698,141,729,681,759,216,
200,962,662,508,102,894,821,178,197,949,929,437,916,687,366,137,964,108,405,
485,280,984,537,589,220,035,644,540,085,857,423,658,919,718,720,640,306,244,
684,103,786,958,354,270,226,575,852,613,209,060,343,618,131,715,706,971,425,
206,356,776,284,413,915,663,764,733,562,541,638,948,264,779,784,001,010,335,
111,810,768,531,269,431,387,252,604,534,169,743,575,468,883,253,342,411,807,
812,991,416,597,655,665,539,132,808,196,076,764,850,064,245,147,694,242,275,
335,397,754,645,089,137,534,927,429,861,276,182,978,801,000,730,994,804,280,
718,536,849,114,372,815,131,223,424,315,025,769,807,431,926,955,889,207,232,
282,174,991,884,142,748,950,702,354,792,326,216,520,638,638,216,167,298,694,
002,404,308,172,443,719,497,137,582,940,729,184,347,791,817,325,102,697,794,
394,058,832,767,201,953,371,498,276,505,301,892,258,847,828,720,169,715,727,
769,308,656,367,562,519,617,460,388,513,586,567,901,713,728,406,306,479,876,
986,908,630,446,837,990,409,099,214,333,822,823,488,150,154,873,880,084,786,
170,168,807,292,207,592,597,605,891,051,959,447,032,260,325,350,647,283,594,
695,647,269,945,826,597,781,195,354,284,434,380,010,629,885,502,592,902,892,
376,710,349,084,562,900,586,882,997,950,261,316,553,240,050,579,306,455,098,
156,687,038,165,015,510,484,383,288,977,555,794,897,825,538,088,496,005,539,
437,292,117,196,475,820,275,786,174,025,465,751,344,146,790,038,652,584,307,
784,325,543,924,834,259,194,177,574,299,845,244,115,770,762,001,416,028,215,
344,142,671,039,523,851,902,883,439,530,810,070,164,664,398,755,260,438,142,
263,297,792,535,240,600,347,166,181,029,090,045,311,959,317,910,571,258,759,
805,076,803,783,890,372,303,238,342,536,242,186,339,966,052,738,507,565,179,
879,331,566,385,013,634,060,717,124,476,787,701,546,719,445,283,704,082,885,
936,615,552,456,583,327,089,214,573,168,921,636,251,341,523,817,233,579,959,
942,472,383,031,672,131,527,231,073,125,508,417,911,017,999,224,212,425,230,
754,377,553,921,994,043,477,237,881,799,921,344,862,437,973,808,542,666,524,
650,629,510,316,969,454,688,216,951,835,271,168,148,672,852,853,217,098,442,
885,299,841,883,010,083,699,853,369,360,037,013,939,553,990,532,113,664,096,
305,812,014,329,823,092,597,047,097,678,245,635,971,049,289,245,593,899,626,
499,876,395,333,557,585,605,101,441,140,240,791,055,079,238,569,926,030,585,
558,882,662,072,677,695,519,836,298,306,828,204,398,279,803,998,872,426,927,
197,696,395,598,885,765,008,543,246,305,423,338,917,751,739,496,216,392,575,
900,308,596,613,482,574,760,774,987,954,421,296,845,364,555,038,115,395,912,
338,116,087,211,888,709,928,207,270,121,631,430,491,893,215,819,650,849,434,
269,500,953,970,924,733,166,320,330,586,322,312,579,663,776,102,886,827,781,
107,272,302,588,036,141,310,866,929,945,658,978,350,978,383,072,465,502,363,
464,155,002,191,571,650,136,617,134,542,656,292,757,963,386,311,110,466,335,
852,758,990,524,475,482,466,580,767,571,795,761,795,713,518,692,240,631,128,
959,776,520,621,629,262,287,285,744,432,162,037,266,119,067,085,863,016,286,
010,101,894,174,709,794,934,809,667,860,039,304,038,938,458,587,068,883,648,
805,772,218,598,895,902,358,708,551,761,738,019,782,697,544,670,869,094,248,
978,463,216,823,475,734,087,454,985,319,780,297,611,950,457,855,821,551,097,
601,090,441,543,447,830,670,686,560,855,538,507,290,451,598,391,473,011,852,
149,153,880,410,157,032,967,544,294,740,721,532,523,869,502,428,549,846,718,
178,402,410,482,509,015,603,225,240,995,724,544,078,241,129,088,829,435,220,
270,869,472,437,433,635,221,664,955,189,206,837,144,884,355,437,972,689,309,
949,545,978,651,226,358,911,036,512,961,939,519,934,404,436,765,656,086,209,
533,409,841,133,162,432,272,816,772,598,145,127,715,675,931,555,333,595,625,
892,112,120,449,242,448,314,466,094,629,771,498,316,357,663,022,127,464,141,
759,332,562,416,742,928,207,466,345,029,608,314,471,935,442,394,934,813,736,
738,749,107,668,831,339,120,884,030,691,461,721,704,338,153,887,990,887,861,
138,906,835,283,987,574,866,958,569,238,321,487,550,638,005,996,534,088,969,
158,766,472,142,823,327,232,288,815,575,318,055,104,199,204,303,164,684,844,
499,751,724,602,732,121,820,959,644,276,651,468,359,128,348,670,014,016,358,
930,213,867,073,491,217,817,306,336,323,435,248,693,904,063,295,461,913,625,
179,142,400,675,314,987,557,227,011,660,740,771,309,250,429,617,208,050,656,
981,896,871,508,686,154,166,575,097,955,312,198,711,958,837,712,169,668,538,
800,667,501,369,437,410,251,160,067,780,737,878,274,833,882,685,256,912,344,
882,292,420,586,307,271,359,273,256,135,426,211,169,455,541,260,140,171,383,
186,832,834,779,249,665,983,789,109,248,020,659,333,811,227,844,736,033,356,
450,329,730,398,152,004,070,202,623,707,522,713,707,008,574,700,305,220,844,
392,696,610,669,386,864,186,411,244,036,385,159,968,252,222,124,550,564,448,
719,530,904,279,413,018,068,179,066,536,643,051,522,880,173,593,891,963,858,
604,483,155,975,382,092,983,556,469,966,419,591,221,462,285,721,593,179,601,
862,545,179,568,331,374,305,533,076,657,412,099,418,771,482,524,203,177,325,
178,678,652,939,898,440,915,311,579,055,424,963,279,347,753,960,205,915,217,
819,539,242,192,622,339,133,629,491,198,731,390,285,989,648,197,387,489,046,
599,037,023,217,589,773,590,998,919,111,717,240,874,024,731,571,006,437,735,
837,644,384,637,665,453,565,609,615,617,578,847,924,255,509,806,788,841,475,
144,437,418,611,058,676,308,422,540,840,269,392,216,369,072,570,768,332,722,
277,389,251,710,998,222,390,097,365,648,147,971,098,063,406,062,894,057,787,
393,279,568,934,064,912,831,527,778,385,173,214,170,622,445,043,435,201,285,
223,958,955,248,749,848,321,370,620,954,989,582,921,006,954,800,425,155,843,
218,881,673,505,106,440,488,093,268,994,457,211,734,020,887,578,371,939,115,
916,677,846,599,716,244,152,784,351,915,416,888,536,056,930,105,639,198,676,
084,079,546,193,686,505,525,141,791,638,846,704,795,216,494,182,494,402,957,
823,035,268,633,767,275,557,379,437,595,032,814,794,608,275,384,899,401,220,
109,656,221,495,560,354,696,768,473,622,996,995,954,787,451,667,581,851,710,
570,796,135,988,006,203,950,986,771,870,739,819,741,969,476,474,971,100,779,
396,769,447,144,663,384,365,437,177,132,863,764,577,394,456,238,006,326,969,
254,237,887,460,329,522,475,958,058,009,936,521,795,692,837,714,664,140,353,
175,587,022,788,795,202,914,817,031,978,755,597,146,037,450,426,067,887,239,
342,601,095,038,710,852,359,758,863,324,957,594,391,063,238,014,048,441,774,
742,432,431,035,265,533,006,342,600,596,722,394,437,172,593,449,600,725,371,
853,881,165,753,337,190,457,526,320,381,603,199,207,595,170,453,636,039,760,
927,811,053,681,774,134,651,257,111,576,409,696,965,437,808,105,964,535,659,
877,351,893,408,739,625,825,038,853,425,074,639,565,723,460,248,976,636,699,
970,525,666,351,007,398,597,952,251,317,252,005,555,752,699,344,069,361,927,
425,260,683,325,752,709,814,767,756,329,861,664,435,165,751,957,795,880,400,
822,017,906,565,385,807,476,904,953,670,636,716,402,368,151,269,241,308,106,
105,818,963,646,740,141,311,224,978,596,682,887,121,876,382,521,411,836,397,
264,814,230,378,360,074,078,260,427,450,472,379,790,350,780,066,977,681,248,
392,521,522,655,624,813,316,131,529,732,707,612,826,611,077,122,784,925,841,
479,671,933,039,883,777,787,491,716,100,271,804,222,032,514,035,436,146,423,
298,592,053,892,881,320,227,327,416,243,829,512,857,532,067,344,317,964,997,
906,263,676,896,057,298,761,064,516,315,849,170,753,500,289,065,553,183,173,
108,801,696,532,992,585,327,001,108,729,942,237,661,990,784,743,382,112,499,
196,877,424,071,577,290,459,321,705,048,339,128,354,103,734,762,495,822,881,
979,402,051,426,420,270,569,072,047,468,058,473,767,914,719,132,666,003,252,
749,573,755,155,873,740,246,439,364,090,419,613,482,953,395,395,526,630,548,
243,522,847,502,188,114,492,986,857,133,693,782,692,424,325,285,523,611,252,
890,356,746,752,147,607,789,871,861,270,093,191,609,445,928,528,016,559,499,
601,287,623,207,410,130,253,407,878,544,130,197,666,031,156,057,827,599,370,
236,222,778,107,114,445,600,488,937,012,880,974,757,589,892,522,515,859,699,
890,405,374,344,764,398,714,325,425,487,254,729,342,975,863,448,308,554,433,
436,699,349,858,807,568,311,395,899,519,951,457,680,751,413,798,147,764,766,
724,533,983,865,276,341,534,509,629,834,975,789,225,257,593,604,671,633,436,
259,779,171,086,584,181,355,912,042,521,218,307,424,936,363,030,472,110,935,
724,263,307,552,771,285,620,967,771,150,862,059,165,853,623,945,661,977,495,
754,469,619,870,699,177,196,154,075,477,288,855,595,989,407,675,861,626,605,
519,607,946,425,517,650,345,024,649,302,773,749,181,751,106,703,357,762,804,
127,264,588,221,316,583,732,888,751,953,057,549,767,237,713,511,407,696,431,
279,541,839,688,179,131,932,838,087,888,908,196,658,886,879,801,378,543,330,
331,378,679,812,863,543,485,538,295,407,293,746,185,508,941,574,481,009,440,
965,942,314,514,389,087,398,679,994,471,848,778,422,443,994,930,168,123,019,
303,803,450,018,915,792,521,348,244,034,009,660,617,658,599,804,348,148,196,
572,383,909,918,942,963,185,401,874,656,589,109,570,951,358,076,970,382,401,
625,891,656,907,669,456,003,875,404,899,543,169,627,571,503,136,432,474,163,
545,113,849,597,476,052,825,489,398,993,785,665,736,301,968,510,435,836,138,
031,355,816,883,396,519,535,680,730,137,063,689,934,052,099,660,438,236,623,
385,143,249,323,254,367,643,380,932,449,016,387,381,642,207,607,304,394,336,
465,213,507,163,590,737,099,071,694,699,731,326,149,949,889,900,565,406,308,
945,096,053,377,860,928,639,752,191,663,436,599,799,380,335,055,975,581,291,
319,155,021,819,576,566,856,740,126,095,557,038,587,381,263,709,953,530,692,
558,537,013,198,884,464,896,474,740,990,217,220,824,373,270,914,368,150,725,
877,165,000,127,148,304,474,671,763,695,617,722,959,810,419,757,791,525,769,
474,943,427,391,456,242,608,067,406,872,735,206,029,532,771,308,540,559,265,
331,772,771,470,697,472,206,569,307,778,142,481,200,462,938,597,192,251,326,
317,147,301,135,887,961,204,183,373,316,234,854,137,893,747,529,915,954,832,
642,936,639,035,840,779,297,094,400,409,609,931,436,003,460,139,688,623,414,
205,315,319,599,280,182,619,863,382,095,095,887,795,548,172,412,366,956,985,
027,428,509,698,110,106,527,950,225,348,466,309,704,057,486,546,160,642,813,
904,469,968,971,632,007,627,260,387,837,762,605,630,492,203,116,966,216,856,
177,180,997,985,313,048,578,863,013,688,631,706,875,864,543,429,340,330,909,
744,983,124,161,660,361,326,345,348,975,895,832,887,921,057,231,482,972,707,
786,826,816,507,568,777,524,957,458,336,710,539,030,470,182,999,973,383,845,
980,966,537,168,502,172,320,198,848,405,045,053,951,243,734,990,760,966,161,
971,941,058,453,807,853,097,918,274,334,982,725,803,240,990,624,733,449,733,
041,345,279,976,438,937,966,807,691,560,774,300,231,664,711,290,098,622,831,
409,147,182,721,003,821,900,464,233,690,279,482,475,030,995,901,830,598,028,
339,860,726,186,070,116,293,422,603,945,814,418,835,911,588,846,519,352,131,
778,454,875,237,411,654,873,319,048,811,530,178,642,698,583,497,178,461,051,
304,631,743,968,478,485,906,263,678,817,281,288,032,512,153,306,294,625,598,
513,717,413,993,711,549,560,935,707,295,962,364,996,374,415,957,012,806,048,
992,199,086,815,929,261,740,548,306,854,828,569,197,542,732,486,549,035,012,
106,564,964,524,178,545,187,991,760,443,123,570,023,033,700,071,866,635,325,
625,349,583,480,694,379,746,038,148,823,703,096,839,384,539,774,506,040,774,
152,478,593,492,960,178,480,840,850,937,356,187,451,490,602,398,546,813,724,
437,519,068,237,559,535,361,358,946,014,288,870,253,110,773,705,899,783,232,
715,865,858,741,912,647,499,857,542,485,865,074,602,313,214,833,232,611,237,
416,303,500,730,091,092,319,238,728,525,526,353,616,558,452,940,521,464,958,
320,221,143,818,800,578,825,341,571,997,961,728,287,698,411,086,318,934,070,
584,311,403,705,704,468,834,424,730,721,239,392,700,782,626,657,874,036,736,
715,543,987,115,395,016,795,626,616,597,362,898,092,536,928,987,631,028,629,
581,616,372,112,266,355,621,772,263,289,859,131,349,686,349,115,802,718,491,
956,247,831,819,914,312,353,222,091,412,519,637,406,793,746,430,040,071,878,
999,705,949,225,228,024,671,670,609,164,008,263,049,926,147,162,702,525,333,
149,863,816,419,037,481,327,928,708,338,629,676,448,767,334,789,030,743,140,
907,229,574,877,560,905,830,697,058,487,677,240,056,526,816,288,742,921,209,
693,317,537,955,229,979,534,925,389,958,635,729,659,308,681,421,794,665,804,
332,587,905,448,480,193,900,006,987,815,675,939,428,535,296,099,034,298,523,
117,720,879,712,140,526,522,811,434,739,821,947,963,761,652,734,812,757,031,
406,471,806,278,168,656,576,611,210,452,354,005,960,645,585,458,290,533,471,
645,218,071,047,008,667,965,671,317,650,240,334,676,791,637,849,571,322,109,
244,700,472,583,880,390,491,609,873,864,807,593,464,096,592,410,620,416,809,
438,258,790,823,798,238,257,567,162,434,235,861,006,544,184,279,292,969,100,
148,762,066,426,797,662,937,973,497,057,810,354,718,524,356,314,484,590,907,
727,412,623,961,123,246,715,755,328,017,382,972,857,155,648,121,726,093,928,
545,444,854,305,697,885,598,436,910,780,925,089,347,433,722,374,945,729,381,
224,666,077,358,209,188,717,202,616,091,394,240,474,844,038,305,654,374,724,
318,403,341,426,293,630,744,728,966,465,300,804,885,486,724,897,708,542,690,
742,580,664,682,590,531,034,142,339,083,583,822,836,184,181,820,935,478,248,
764,117,394,177,417,772,223,270,471,921,179,224,351,256,962,233,187,332,117,
728,956,689,254,013,221,707,054,777,569,404,108,970,656,092,329,941,688,936,
423,807,156,910,827,112,001,451,026,394,418,320,131,838,979,004,980,754,170,
470,481,821,723,652,440,199,314,373,798,226,447,859,575,808,953,782,233,778,
238,678,618,400,105,247,327,922,236,486,316,061,520,500,226,221,139,982,307,
998,822,654,017,953,993,953,691,458,639,617,399,375,834,141,972,605,082,463,
307,524,667,885,452,149,170,587,849,909,441,254,729,732,052,484,774,965,388,
796,592,907,666,525,600,070,363,885,796,715,564,873,793,704,938,115,014,668,
255,345,355,591,292,072,904,157,720,467,355,463,848,618,053,149,047,522,369,
260,495,709,617,326,637,689,580,782,960,619,824,430,171,096,915,886,860,731,
546,192,771,440,409,368,298,849,507,231,496,998,260,855,626,389,149,625,421,
254,266,059,855,657,185,287,754,384,825,365,056,029,483,517,259,484,925,167,
498,186,163,825,170,643,286,898,470,049,305,983,679,194,644,994,188,693,656,
248,707,223,124,409,238,369,021,758,921,242,000,068,747,311,595,765,451,026,
642,899,789,319,416,624,399,675,349,636,708,356,685,790,181,586,079,486,748,
018,538,395,289,199,930,251,473,577,067,165,249,979,601,255,696,160,070,458,
099,010,475,829,687,874,838,498,525,153,338,668,554,355,576,897,079,496,223,
589,705,418,940,034,935,838,945,468,699,379,554,977,408,699,162,555,209,346,
896,683,181,052,642,655,365,903,277,700,797,632,019,644,091,151,459,145,393,
156,057,980,802,558,226,483,941,463,252,603,660,913,638,757,706,066,183,658,
476,622,549,897,223,232,313,295,060,712,300,139,048,094,086,012,211,445,219,
475,094,075,476,216,516,290,184,084,264,370,604,490,064,700,371,457,175,961,
579,411,264,785,854,131,031,764,852,947,398,426,560,878,290,058,265,556,765,
096,167,819,280,851,409,084,065,431,789,155,908,757,279,728,688,688,413,426,
269,749,449,252,192,100,352,213,613,420,618,133,152,763,839,291,574,853,500,
353,873,335,586,010,062,174,947,649,175,255,105,717,883,010,979,416,296,342,
041,947,947,749,613,513,502,491,651,138,995,012,256,649,965,624,486,017,855,
845,848,158,686,092,427,527,115,865,963,254,338,878,979,739,443,004,992,579,
500,109,091,249,686,922,606,839,400,668,769,095,189,676,520,787,550,372,885,
625,655,014,508,471,610,701,366,790,774,736,929,936,164,559,383,929,162,087,
101,433,514,594,573,092,673,301,679,584,556,299,919,227,955,671,858,821,688,
733,024,739,950,474,737,569,135,170,229,514,369,482,262,346,560,598,341,029,
698,896,414,911,447,441,121,224,566,868,061,911,368,804,396,935,246,574,579,
398,109,855,446,793,382,183,937,910,418,344,419,713,949,719,121,139,770,413,
779,212,590,267,909,776,814,531,561,933,837,351,106,080,016,385,452,332,855,
998,567,158,203,920,324,328,795,696,498,260,977,721,211,459,870,793,265,406,
469,670,044,683,183,238,591,586,455,121,561,556,499,741,138,258,244,527,696,
696,448,686,969,393,938,352,885,645,712,533,181,694,135,268,898,181,240,436,
278,177,223,092,970,745,334,388,436,850,590,409,309,571,817,742,348,915,797,
078,173,260,202,043,956,874,295,198,102,660,525,939,277,521,035,511,588,299,
682,322,693,644,557,493,535,390,813,139,895,703,383,274,914,943,481,171,342,
228,224,916,694,627,178,014,152,645,570,672,578,717,462,137,106,950,575,901,
586,813,580,811,910,520,283,596,586,390,828,063,245,356,133,675,349,405,203,
551,937,359,884,522,809,937,220,951,819,154,515,560,816,640,121,301,288,414,
164,583,073,896,466,661,193,636,461,431,838,017,411,772,619,506,273,166,928,
510,103,547,834,197,725,330,432,699,742,214,456,634,340,271,625,815,040,973,
937,744,602,665,354,247,121,469,070,412,804,973,240,268,282,351,490,902,854,
505,058,852,319,420,482,061,511,540,566,328,333,206,343,574,689,281,294,569,
857,355,236,622,937,118,558,328,807,986,714,294,470,251,683,962,665,765,400,
472,293,218,223,705,727,159,139,209,763,408,697,975,157,637,198,647,830,957,
766,766,106,553,911,379,297,762,400,965,538,247,030,571,906,995,923,583,030,
277,665,286,251,832,144,741,797,510,529,697,436,290,100,110,915,364,667,594,
647,434,820,927,356,724,109,860,499,724,715,421,266,350,177,915,479,540,424,
448,006,344,078,848,876,023,538,017,575,196,327,892,560,476,327,709,422,019,
841,563,668,151,969,350,536,047,055,877,050,457,714,200,011,405,124,353,734,
287,339,025,900,554,306,173,049,995,573,183,034,238,557,100,855,963,868,469,
689,978,939,901,679,806,381,040,779,877,467,729,833,945,182,653,287,306,105,
305,014,027,411,014,207,920,982,703,700,759,040,136,157,950,928,360,220,921,
329,991,045,346,874,182,416,875,825,236,053,996,849,124,390,737,849,964,540,
975,852,849,080,197,070,050,292,164,424,899,605,761,072,659,321,739,110,349,
323,244,942,869,504,111,568,249,285,560,232,624,888,854,043,106,296,030,986,
408,615,164,342,653,317,965,374,209,644,983,504,306,254,494,834,434,654,835,
645,640,528,014,920,798,740,391,425,207,247,808,574,315,771,611,037,685,735,
098,364,476,077,471,939,800,617,079,482,593,283,019,439,821,827,500,748,865,
318,158,007,489,356,657,262,717,983,978,539,452,614,761,199,537,329,263,179,
514,482,397,538,093,259,192,550,518,329,618,921,421,168,125,915,658,569,682,
724,250,954,424,928,444,930,110,719,870,797,938,794,367,932,586,843,318,365,
980,354,016,848,202,259,606,892,875,097,130,479,429,752,363,440,389,581,815,
358,070,029,544,657,844,216,683,681,637,167,092,486,916,342,995,767,600,572,
301,140,530,862,830,535,800,461,219,197,204,257,982,321,922,595,040,022,104,
131,764,196,449,598,374,669,253,372,108,644,273,343,357,080,066,715,341,208,
575,866,039,749,005,381,361,408,524,306,238,825,646,434,184,685,808,963,074,
508,288,200,268,682,518,382,402,491,039,149,202,524,744,500,278,979,449,786,
781,764,716,394,807,100,883,194,230,652,098,529,488,933,688,135,895,004,090,
852,501,580,142,919,824,256,477,744,103,239,524,047,586,081,119,909,092,402,
584,888,657,074,467,668,185,803,573,171,656,532,434,902,400,047,544,185,569,
920,300,962,886,798,115,868,642,797,342,000,620,838,322,989,265,013,816,581,
595,718,377,306,326,611,281,579,335,914,163,183,301,820,078,358,649,007,651,
373,824,238,728,878,861,045,393,342,325,909,057,500,524,801,249,480,934,471,
752,096,532,895,907,305,009,071,698,582,413,722,859,658,869,286,717,091,741,
938,483,089,884,842,679,432,793,888,841,290,088,888,985,143,242,831,873,569,
924,320,768,695,148,506,005,761,788,605,636,228,445,285,181,152,298,898,587,
319,957,620,883,891,392,291,696,599,135,795,901,722,672,846,844,223,694,520,
400,531,072,067,248,110,870,746,273,709,480,295,836,509,207,861,482,302,014,
766,934,712,814,318,326,965,072,610,427,757,975,680,021,119,310,883,625,663,
407,805,745,884,712,365,608,911,782,469,356,263,187,521,090,547,397,248,993,
606,724,199,427,743,003,046,637,208,817,568,403,263,256,998,916,333,590,490,
722,957,368,504,277,538,100,812,827,736,389,906,776,349,369,415,516,374,967,
682,476,968,940,916,311,943,233,166,866,880,135,276,644,654,659,837,347,588,
975,278,007,838,235,656,478,784,867,676,924,241,790,160,057,381,158,086,922,
450,976,255,659,809,127,856,832,720,371,803,742,847,517,843,821,828,706,692,
117,519,794,876,270,138,774,924,000,040,517,575,029,030,167,456,152,958,138,
889,821,255,768,505,508,799,835,767,995,603,494,023,586,610,037,310,217,396,
081,371,138,521,374,487,074,916,153,896,265,111,947,236,849,603,092,331,281,
103,309,297,793,660,003,918,532,564,148,685,094,149,886,414,553,861,572,055,
986,151,061,301,256,496,526,134,334,520,797,623,126,853,632,857,250,080,653,
365,655,977,988,316,596,597,334,762,502,671,661,750,579,265,715,743,418,044,
711,232,261,999,760,916,344,467,016,178,950,744,522,859,880,164,441,908,915,
490,999,830,585,821,681,679,975,546,032,926,883,168,658,285,189,986,078,032,
240,885,818,502,818,838,679,770,651,955,938,643,696,667,786,997,543,424,420,
584,256,312,995,686,109,762,606,307,909,279,476,709,901,061,074,067,473,407,
646,022,478,137,110,024,123,864,886,437,547,773,373,294,051,609,334,103,872,
366,461,540,985,253,929,012,410,110,330,729,529,376,931,489,733,046,086,225,
365,214,980,998,376,256,718,154,859,243,678,989,607,119,179,382,184,791,737,
889,215,925,271,602,242,052,847,014,691,134,171,240,875,467,930,950,379,142,
129,985,225,912,804,081,242,813,616,165,957,463,375,187,330,732,453,555,302,
895,720,171,059,394,377,157,390,712,305,471,265,918,852,670,474,520,081,987,
553,955,435,342,615,329,013,751,893,350,544,687,689,656,698,020,200,291,239,
607,306,257,473,054,557,939,056,834,563,065,275,469,674,242,949,541,645,430,
580,189,689,169,651,337,207,215,429,676,312,312,785,347,608,066,007,066,450,
183,851,601,292,115,122,427,379,807,765,526,165,155,018,814,098,263,768,620,
895,693,807,043,661,969,839,846,330,201,974,342,841,553,260,153,017,037,043,
472,417,293,052,569,436,160,813,818,755,905,584,665,224,481,634,716,721,892,
086,638,369,864,346,792,816,838,190,902,124,642,220,726,549,681,381,669,740,
833,777,332,271,978,387,271,121,260,328,133,885,283,158,850,966,662,274,991,
467,449,291,352,573,365,586,635,982,382,895,492,309,874,556,710,735,251,268,
287,058,500,779,475,814,655,388,237,432,843,256,416,483,880,824,577,610,939,
837,858,436,860,450,475,667,507,573,915,687,038,018,590,260,568,282,896,249,
389,184,497,934,851,046,692,396,189,427,053,097,706,710,904,812,103,417,722,
990,673,458,006,335,278,001,404,479,382,669,799,944,551,238,209,595,468,459,
283,488,310,864,393,475,910,306,599,014,803,680,711,042,625,691,441,243,796,
276,030,041,252,358,397,448,084,339,745,541,017,020,137,727,448,539,543,929,
072,214,874,400,928,513,208,333,768,454,069,951,084,335,119,069,574,464,306,
428,807,809,337,991,918,410,273,375,308,884,998,384,833,665,547,684,491,466,
571,643,035,568,309,826,702,122,829,340,890,263,855,785,881,478,267,130,789,
437,128,563,975,373,893,765,402,028,393,725,924,448,019,477,407,024,006,479,
909,134,968,581,501,004,064,005,272,509,844,481,103,571,224,846,752,032,588,
972,543,561,738,275,781,589,966,530,072,185,319,023,380,065,646,108,764,549,
922,330,917,909,864,962,763,785,575,298,520,610,904,636,197,341,178,116,747,
371,956,816,217,889,714,321,767,856,249,536,831,034,609,407,956,825,753,456,
717,722,450,162,997,298,601,296,492,467,212,212,317,631,864,576,311,208,684,
075,500,155,183,198,120,517,355,267,808,775,730,839,381,356,762,424,777,563,
212,061,250,999,941,422,726,070,579,321,055,823,922,202,666,260,371,519,364,
248,545,400,418,794,098,446,423,483,496,465,547,261,930,506,011,799,450,441,
051,022,660,725,688,606,064,110,007,307,607,455,111,843,431,376,153,454,921,
829,062,740,034,375,339,771,636,959,029,271,825,529,401,608,462,573,031,320,
104,416,880,123,644,143,633,330,738,640,038,422,932,252,371,434,657,212,446,
465,106,517,615,263,017,009,132,350,731,909,967,207,096,615,786,242,968,415,
265,933,548,546,180,664,328,939,331,919,656,563,515,281,507,206,532,836,851,
026,657,027,799,912,476,574,546,113,351,787,061,761,592,270,754,532,823,812,
447,981,904,615,625,902,130,034,681,336,841,714,726,590,341,804,459,290,381,
460,174,895,572,584,612,670,153,950,698,976,358,661,127,242,103,815,337,766,
924,649,871,772,837,574,442,396,638,108,240,339,511,523,593,035,280,128,914,
072,205,355,140,827,487,035,308,294,125,108,211,858,815,190,290,627,837,852,
417,616,627,722,870,814,283,270,957,796,761,062,442,291,634,615,655,575,843,
881,347,887,010,733,557,380,283,445,283,896,705,985,399,395,718,008,840,621,
930,634,821,589,976,762,869,674,934,073,060,504,077,864,300,308,162,878,252,
987,367,022,372,270,232,074,802,280,499,383,736,412,382,513,701,288,400,341,
847,511,065,512,881,972,228,282,193,308,440,224,793,195,340,170,817,320,947,
308,657,053,475,675,629,034,485,487,444,976,310,600,808,121,211,658,257,354,
879,651,282,327,751,073,427,953,364,411,417,512,948,303,796,804,073,277,607,
777,050,927,688,392,576,306,143,963,264,296,610,861,276,642,527,933,459,060,
245,739,335,894,986,246,360,911,243,336,209,583,886,663,234,085,906,290,560,
932,219,318,892,238,765,789,126,447,775,429,450,818,708,974,346,292,315,110,
131,476,793,217,403,005,029,085,843,709,301,975,077,303,342,283,838,876,721,
950,188,481,834,793,154,562,446,224,154,427,004,808,584,858,913,690,847,978,
191,685,769,475,776,157,676,139,813,611,008,692,635,201,548,409,609,483,847,
498,947,704,738,463,994,673,394,207,828,017,654,439,741,053,094,774,260,555,
406,901,567,635,966,241,469,650,420,190,311,872,153,694,606,750,109,457,981,
558,222,236,150,325,489,447,973,119,431,971,273,967,665,339,270,342,094,853,
214,723,632,348,172,207,587,148,945,574,527,592,629,204,223,365,765,263,567,
945,761,030,853,230,331,121,429,546,249,724,606,266,922,773,572,201,797,877,
154,504,077,613,620,539,454,795,101,740,488,207,555,002,919,804,030,259,754,
876,933,332,649,705,995,541,216,774,922,916,787,687,575,967,200,918,920,317,
410,574,377,610,882,419,687,295,314,932,025,758,565,582,033,836,136,414,199,
544,550,087,629,773,353,868,746,838,809,155,359,325,293,616,852,112,241,186,
548,220,069,185,608,288,508,349,820,803,059,400,625,287,560,558,086,549,957,
555,613,810,486,004,970,611,445,263,773,506,630,272,335,481,858,275,351,798,
140,794,431,094,454,870,818,568,992,033,408,097,427,200,412,635,809,533,724,
916,782,126,496,290,560,278,548,633,530,802,064,856,924,247,881,484,432,532,
263,584,789,772,349,216,639,946,828,556,329,381,820,878,782,500,768,643,431,
259,435,499,030,585,914,794,104,415,341,280,379,791,357,754,907,731,932,171,
803,266,615,285,441,939,858,113,349,680,337,428,634,559,582,606,385,774,740,
404,463,959,583,247,678,558,654,701,288,586,832,898,704,193,153,525,044,928,
309,283,189,733,829,280,679,512,392,021,009,154,406,235,035,992,829,950,558,
810,971,374,248,164,841,672,408,704,925,354,698,074,461,780,131,385,577,599,
403,159,821,671,835,667,213,012,853,799,611,354,598,486,610,365,094,010,913,
224,167,191,198,393,817,648,674,431,279,423,502,764,273,089,002,821,173,973,
765,776,087,976,726,151,423,525,051,598,407,364,391,978,825,197,593,118,436,
642,877,458,837,750,485,583,422,439,575,329,919,184,710,486,868,246,962,654,
480,469,882,222,199,875,224,226,741,919,986,179,644,172,679,718,208,606,325,
543,562,137,133,481,816,233,778,488,235,201,404,173,588,543,370,236,697,669,
717,380,048,529,294,598,433,708,660,544,269,326,887,417,135,594,797,451,377,
210,519,493,841,126,732,472,848,332,725,100,236,420,099,642,719,285,391,538,
637,749,269,045,018,010,835,156,166,352,662,597,081,100,269,795,859,331,980,
280,356,981,767,343,078,071,664,058,909,799,983,761,803,421,450,101,644,395,
423,284,274,787,129,673,736,409,392,804,691,393,435,901,996,235,455,260,470,
912,721,877,413,195,111,436,628,169,156,202,366,146,629,665,255,647,900,191,
025,938,329,889,390,610,337,382,691,847,198,870,138,096,745,034,155,894,001,
548,041,874,655,010,658,675,266,158,502,919,958,099,151,323,060,828,522,305,
865,175,175,876,263,562,212,158,638,212,523,220,527,023,904,112,197,644,310,
119,834,515,544,669,474,501,201,725,296,408,815,530,553,765,772,133,107,943,
137,106,327,438,282,825,645,330,377,717,198,496,804,495,830,358,337,504,017,
030,700,783,327,834,128,771,918,749,917,150,535,812,928,200,451,413,983,855,
542,487,423,868,088,554,031,272,196,672,083,270,427,879,736,346,851,305,166,
607,005,329,372,685,021,911,112,503,354,188,790,684,743,259,612,756,847,451,
602,966,281,083,219,576,676,875,660,286,392,168,896,943,600,742,921,057,386,
357,902,021,988,849,520,847,723,762,933,272,499,269,211,190,819,788,937,607,
877,693,144,968,782,249,427,598,800,011,222,084,992,455,065,040,471,694,382,
299,006,382,177,338,004,637,248,582,035,114,946,320,915,257,052,084,245,934,
390,351,375,412,046,717,174,961,421,691,690,742,700,353,049,327,440,670,210,
307,890,185,927,215,630,995,421,361,885,316,111,827,122,081,168,362,501,251,
913,316,138,662,272,303,872,966,496,820,228,806,643,922,992,226,238,392,781,
628,729,194,404,356,791,842,157,969,950,733,916,174,382,222,656,166,735,306,
734,377,262,348,203,132,815,682,573,997,177,147,464,805,434,833,679,663,323,
798,423,169,773,307,492,394,975,889,401,283,565,022,123,367,798,093,256,963,
834,166,335,909,625,687,164,830,965,002,347,220,644,687,477,316,407,446,547,
720,563,634,591,481,207,280,768,122,124,740,884,353,128,029,057,421,368,077,
081,842,091,957,391,634,440,660,183,208,871,918,714,301,500,026,806,713,110,
318,479,081,981,392,798,546,172,301,275,027,644,424,039,322,510,270,469,189,
529,707,954,996,419,427,070,676,779,754,656,435,390,771,856,241,099,720,814,
644,616,811,830,683,221,837,665,602,351,302,353,938,562,281,273,001,815,121,
915,764,678,389,845,630,471,508,062,875,998,478,854,288,054,276,524,001,223,
233,074,813,704,357,776,736,499,934,126,537,508,823,841,795,018,019,143,080,
578,043,526,069,495,888,040,015,575,313,681,212,463,932,119,378,508,000,927,
685,038,003,703,201,425,440,673,282,951,363,624,365,200,707,320,605,083,687,
151,358,439,458,947,606,439,251,266,410,935,311,358,192,949,579,367,444,887,
062,854,598,752,608,779,511,860,226,515,721,518,240,740,058,027,348,515,406,
524,253,753,871,521,104,201,195,253,981,134,944,676,800,034,027,525,714,953,
453,197,760,263,982,678,001,719,732,817,166,838,368,213,736,271,972,113,451,
721,722,945,997,654,892,919,831,895,849,824,472,348,278,089,427,379,459,939,
320,077,275,613,789,686,784,861,193,298,395,569,124,988,230,106,850,307,321,
762,049,712,046,448,060,511,909,167,102,604,378,514,209,406,990,738,491,666,
129,822,942,204,856,181,054,715,905,690,648,020,332,907,049,210,581,877,284,
797,246,339,758,385,149,098,067,806,168,325,376,783,507,627,553,638,067,990,
830,437,729,057,137,355,482,602,425,668,148,026,907,597,594,875,488,221,643,
567,789,761,044,624,132,750,374,023,191,559,401,933,770,886,837,715,504,943,
972,458,356,273,866,625,880,695,224,911,007,020,294,015,469,976,712,655,612,
687,341,660,159,889,038,102,934,420,483,699,817,518,687,866,499,027,105,105,
672,128,221,754,747,455,913,108,075,257,100,204,028,351,710,066,182,057,880,
113,377,612,155,992,990,899,912,401,195,909,140,260,942,641,388,348,594,274,
391,280,871,897,565,199,273,823,063,533,522,948,094,752,426,011,281,832,365,
782,743,843,167,487,163,631,113,580,069,259,791,961,615,892,808,086,712,566,
255,379,462,598,781,902,882,516,834,329,355,224,437,981,621,822,072,400,521,
831,103,014,339,095,456,493,154,499,379,024,947,662,016,531,599,696,041,395,
538,320,695,007,538,939,985,468,995,464,850,644,215,077,058,432,665,450,980,
205,491,078,689,210,796,247,636,395,034,418,349,749,420,356,937,945,083,694,
466,116,839,941,308,485,930,739,549,846,167,507,112,015,939,387,919,439,884,
219,774,337,822,203,749,812,103,684,656,369,264,112,256,914,863,629,894,477,
161,771,597,772,016,751,794,641,778,676,458,188,761,973,398,673,739,672,695,
227,776,212,419,171,460,723,182,388,928,294,644,623,531,470,304,246,738,943,
743,012,643,614,790,547,276,561,719,337,895,884,757,432,823,658,188,658,250,
851,401,461,625,727,403,506,114,728,678,571,382,698,787,018,127,809,044,205,
695,097,500,584,635,241,220,123,604,401,821,273,492,564,222,759,143,088,854,
888,273,630,805,666,746,404,741,791,457,206,854,267,139,369,756,771,762,345,
453,396,258,626,535,215,434,689,478,631,056,090,243,611,863,964,559,980,468,
814,834,340,867,523,524,758,493,595,166,774,556,676,028,644,961,577,757,883,
682,175,701,137,566,733,486,598,893,341,523,205,845,574,511,459,874,451,771,
489,363,687,175,218,118,056,187,540,781,772,926,957,086,896,216,027,993,779,
357,199,332,409,000,088,783,189,341,649,971,051,709,849,163,503,074,587,007,
755,870,816,512,028,818,715,000,821,315,847,745,953,887,625,826,558,030,184,
614,384,474,393,845,860,048,899,736,283,854,503,947,327,188,739,365,824,442,
013,376,323,383,064,007,192,303,475,132,131,436,035,457,480,608,928,345,993,
065,681,464,124,838,999,941,247,270,422,339,404,473,765,668,693,429,454,834,
414,188,639,322,950,112,202,091,318,495,441,610,631,378,842,901,085,308,661,
800,670,846,968,285,295,576,610,895,502,869,237,418,624,808,119,401,824,359,
575,505,149,906,526,722,417,119,851,104,494,010,916,311,292,415,027,383,779,
508,622,920,009,801,465,404,315,614,538,558,795,286,926,696,672,515,855,333,
784,208,457,748,607,594,059,289,635,099,715,967,179,436,403,463,390,307,545,
929,137,175,867,718,118,845,368,175,203,959,179,959,887,096,270,436,780,329,
706,293,865,211,403,056,313,981,304,733,292,605,142,296,427,946,331,328,501,
921,752,309,290,385,315,815,812,607,856,720,481,857,029,605,912,355,574,817,
016,662,947,499,311,056,649,404,658,372,131,085,745,329,659,889,564,588,407,
027,241,538,982,386,820,823,114,174,817,653,661,259,921,957,222,695,357,553,
683,942,653,907,572,670,044,622,382,118,853,549,657,001,129,021,116,732,216,
942,886,735,140,904,230,209,984,655,292,210,213,356,977,413,409,515,173,974,
038,656,428,629,327,243,659,370,594,331,963,335,859,701,488,887,440,119,863,
038,784,038,928,775,183,671,583,877,268,189,140,428,654,438,609,987,017,460,
888,891,829,317,109,128,479,664,239,165,722,121,427,378,350,749,847,719,436,
126,982,752,375,065,112,301,394,702,677,693,270,452,256,416,641,629,974,635,
768,236,561,533,287,621,790,103,000,923,486,043,124,869,500,563,263,375,647,
003,995,739,601,512,173,823,782,572,570,640,299,373,355,319,089,932,490,081,
243,067,441,784,153,920,478,171,434,170,248,364,003,091,205,852,403,823,821,
684,298,889,262,481,572,272,098,707,098,263,255,658,870,543,676,308,146,756,
866,361,573,819,018,528,717,387,581,099,998,957,800,688,562,894,089,165,944,
805,277,288,674,143,844,304,726,877,882,740,430,297,188,309,210,772,056,715,
215,304,109,700,253,523,927,878,960,694,827,388,705,697,977,966,674,921,302,
906,416,417,158,509,391,374,663,630,216,817,245,801,307,089,484,173,414,204,
073,186,435,458,165,202,355,730,698,035,384,285,022,660,313,550,171,275,515,
833,796,440,924,020,961,297,088,051,237,936,552,231,018,663,606,313,792,465,
446,606,629,225,467,807,241,689,080,043,102,515,213,655,792,150,679,604,644,
292,253,159,101,272,075,237,735,719,384,657,267,672,295,493,895,327,713,109,
458,322,095,874,263,918,134,454,623,612,724,388,166,285,757,479,676,844,215,
609,839,106,537,166,831,982,134,837,310,176,517,457,395,149,636,713,915,139,
608,191,062,986,085,999,389,540,609,006,517,046,501,689,185,727,807,826,716,
231,427,503,602,372,049,415,269,869,152,496,026,436,549,806,594,931,042,327,
704,654,295,204,381,485,899,497,621,424,551,110,324,070,628,495,807,264,835,
296,440,073,541,576,864,559,709,335,643,075,255,101,025,281,111,572,429,847,
228,730,100,547,061,446,653,311,295,300,558,056,225,694,341,105,603,602,232,
188,871,382,767,002,450,390,439,116,005,064,771,281,151,094,852,154,452,514,
401,662,445,827,512,597,626,183,761,166,867,596,798,407,624,534,027,980,791,
830,672,570,985,144,642,801,769,556,034,317,521,449,837,629,177,760,593,523,
566,097,474,697,663,678,594,083,826,766,684,014,104,722,202,311,229,476,649,
730,642,577,012,311,949,499,663,979,981,555,650,010,810,831,135,342,321,792,
061,194,338,160,551,842,293,573,392,176,163,820,398,268,799,304,878,146,356,
285,039,217,672,401,860,370,175,371,756,879,132,154,352,180,262,455,930,591,
825,028,777,977,263,699,886,972,643,199,483,748,269,937,718,251,937,123,739,
130,754,471,816,379,893,269,176,213,971,923,473,340,991,741,676,294,735,033,
078,699,609,204,988,051,648,564,967,220,907,873,183,535,663,241,674,099,197,
200,116,576,700,518,935,414,045,399,803,625,144,227,625,965,500,332,880,633,
176,240,925,445,181,710,180,593,520,701,345,027,526,855,966,886,422,493,229,
864,979,627,245,154,215,655,870,965,532,686,956,053,609,083,039,425,572,886,
114,191,264,272,957,826,897,199,466,125,430,736,987,581,559,268,934,860,191,
978,293,235,474,743,316,297,728,862,021,113,264,820,174,479,991,611,757,495,
225,655,177,787,125,230,868,770,975,554,402,031,710,931,331,241,485,409,450,
198,361,918,202,867,843,419,023,078,838,834,120,876,480,011,201,730,683,163,
348,678,117,050,736,273,207,113,331,778,294,663,368,186,201,311,514,614,926,
091,308,689,613,641,421,289,880,293,571,318,366,493,862,897,821,414,171,944,
590,836,694,168,261,475,942,181,037,517,993,578,531,842,031,074,411,911,804,
077,025,885,692,381,631,656,023,039,652,875,327,811,862,256,626,928,876,735,
496,827,754,571,021,147,739,517,649,997,405,697,670,647,401,080,889,092,510,
334,451,163,533,887,374,578,617,808,595,458,394,065,211,151,856,401,950,547,
844,151,401,205,058,836,930,066,889,567,777,970,384,168,881,258,333,342,149,
459,526,346,957,354,117,112,316,972,866,688,070,471,147,250,512,878,932,132,
454,095,770,657,511,969,233,761,161,339,535,915,364,316,720,423,177,838,564,
028,400,028,689,088,499,622,060,171,580,747,693,115,445,738,906,556,957,674,
014,160,953,252,177,232,815,623,452,418,380,950,872,008,076,789,620,681,727,
153,615,863,561,720,301,283,311,727,905,119,181,301,224,866,212,619,483,863,
835,132,091,957,663,157,119,864,793,619,779,506,306,838,597,332,840,185,039,
874,326,937,354,199,525,366,844,286,245,204,775,874,086,619,537,001,044,229,
141,805,088,543,718,149,234,592,351,792,134,669,704,083,650,570,439,936,345,
029,023,159,965,978,682,222,786,966,586,104,711,361,810,649,596,938,133,565,
198,514,080,839,098,570,018,651,884,169,015,336,830,268,512,922,293,844,505,
849,312,570,918,518,884,026,591,532,567,701,396,013,246,148,358,994,123,792,
416,163,951,878,074,984,279,819,526,247,619,016,615,605,970,133,427,581,474,
754,563,533,152,254,951,873,585,421,010,459,824,979,941,437,034,684,826,128,
571,103,844,605,795,008,388,213,142,194,228,563,905,143,937,515,917,243,493,
645,339,409,868,920,265,210,830,964,493,150,062,500,817,629,432,465,790,553,
279,802,926,032,172,745,362,503,378,237,618,143,645,851,499,607,407,316,798,
910,567,505,982,690,463,933,434,062,382,302,796,425,050,745,009,632,294,815,
544,109,767,803,809,266,444,079,510,758,360,611,896,241,823,033,813,731,000,
727,058,437,390,731,846,489,773,303,488,927,222,865,640,199,923,059,937,587,
976,196,211,885,368,590,908,011,596,905,657,786,071,487,250,731,346,256,912,
079,146,679,096,073,604,537,271,978,511,353,407,555,040,557,438,242,506,925,
691,115,033,108,358,434,083,075,248,317,122,727,969,896,831,985,751,409,018,
451,275,904,603,102,328,046,794,663,327,431,278,168,766,097,175,689,827,739,
277,778,073,185,425,387,511,692,538,797,059,622,871,023,357,113,318,312,791,
116,322,856,709,377,389,254,619,180,406,844,774,379,963,544,950,374,526,182,
773,427,792,286,432,322,594,421,521,784,492,525,610,859,107,425,513,186,777,
046,818,291,176,862,182,779,636,238,652,553,053,486,721,356,610,792,955,785,
318,070,898,289,715,628,240,699,080,802,339,446,254,623,914,812,424,810,590,
018,263,992,567,719,302,053,091,660,828,301,043,489,449,550,132,812,098,495,
278,406,570,526,057,644,486,631,315,349,251,628,521,687,488,241,243,620,887,
772,798,802,316,254,626,501,177,709,644,213,083,489,699,959,554,534,369,635,
345,578,870,682,578,004,385,201,866,668,565,653,661,878,380,005,390,347,984,
433,236,830,974,800,972,564,425,512,638,927,117,103,067,790,544,446,510,208,
299,627,535,249,119,315,838,954,214,009,009,661,738,142,208,602,784,875,512,
660,969,701,060,274,466,506,600,320,368,694,625,725,420,420,812,512,402,220,
966,142,613,245,905,040,900,378,260,147,347,929,427,273,560,363,921,423,086,
307,685,073,731,463,318,018,414,336,367,086,268,824,986,354,719,846,970,528,
345,960,069,734,728,847,109,894,519,087,258,599,078,670,378,207,397,470,429,
477,587,907,063,317,098,906,229,531,495,194,186,364,545,899,924,156,180,980,
188,148,583,086,269,473,497,358,467,414,903,211,792,616,332,362,446,839,405,
458,060,641,549,808,888,527,502,185,882,695,726,669,122,487,170,403,884,958,
591,506,894,908,619,111,616,588,755,312,609,559,266,065,206,448,746,956,709,
302,799,580,939,471,542,962,883,694,785,582,465,803,361,106,601,638,865,488,
826,246,802,137,936,857,418,081,906,863,710,358,487,856,708,998,524,990,624,
194,983,002,364,101,316,482,230,370,206,812,188,362,268,560,297,297,422,472,
479,765,273,798,270,407,170,170,671,203,709,751,590,024,413,098,959,467,585,
925,372,828,153,651,987,197,288,460,079,568,018,473,244,434,204,584,182,339,
553,847,094,796,775,006,885,218,450,777,766,551,368,233,198,517,341,089,902,
540,734,576,304,648,998,661,850,005,727,835,915,343,416,724,105,266,986,569,
658,192,132,641,371,572,189,205,140,315,649,275,098,572,250,657,420,791,636,
133,682,721,172,216,699,474,067,887,105,502,266,064,579,798,502,512,236,671,
662,911,092,427,000,934,726,985,695,003,074,917,971,917,181,068,176,148,802,
325,636,902,883,040,304,438,670,941,007,897,304,419,974,910,407,147,780,449,
417,445,272,466,173,079,303,169,398,822,791,888,933,098,506,480,544,495,210,
110,819,741,037,357,149,697,820,134,362,551,309,147,783,027,501,970,166,646,
744,979,907,639,385,774,981,930,788,158,115,252,389,387,033,981,591,625,763,
299,973,721,281,370,546,414,089,126,554,026,625,363,106,123,856,786,915,638,
090,328,840,175,516,678,964,591,307,544,535,443,647,849,979,797,296,600,000,
468,964,864,385,554,591,917,496,786,891,761,370,109,767,272,999,962,476,057,
300,263,038,333,989,652,408,941,033,421,968,359,310,460,942,243,640,318,143,
128,414,647,461,028,511,245,543,720,783,271,264,076,302,066,998,288,701,371,
822,860,001,584,198,909,173,803,962,824,326,988,348,255,548,715,045,091,426,
426,051,236,864,869,256,600,893,633,874,096,096,349,422,978,582,723,669,591,
547,005,557,286,800,563,215,852,049,392,722,973,564,704,728,944,766,561,562,
925,295,074,729,865,660,594,941,924,205,214,119,412,686,266,322,975,077,126,
536,692,597,313,499,893,752,061,711,447,591,989,162,458,273,780,491,778,975,
123,404,003,737,442,477,632,446,481,776,348,653,674,047,890,935,622,262,498,
455,869,658,097,840,676,577,170,561,955,242,767,956,069,302,135,062,901,588,
179,521,587,040,501,225,117,333,382,250,910,692,985,917,120,211,831,094,094,
451,458,217,322,903,882,167,862,363,885,586,104,355,165,815,157,574,855,959,
633,133,647,532,642,621,365,955,448,957,097,755,159,678,240,802,225,976,075,
263,011,892,276,351,155,504,928,525,242,246,122,404,568,735,998,773,537,833,
457,721,249,453,588,200,914,270,825,538,236,208,209,501,599,237,464,575,407,
724,384,349,639,220,032,370,376,229,642,699,375,059,361,592,661,761,981,606,
454,363,220,120,608,457,538,214,909,357,610,038,031,185,214,535,912,734,408,
782,984,644,467,696,747,577,884,956,552,712,225,487,498,008,267,092,135,607,
457,310,897,813,296,434,332,149,645,544,452,431,562,675,574,823,549,620,752,
441,188,839,483,064,490,059,805,342,865,987,210,402,883,363,542,789,716,896,
275,708,838,259,484,261,665,811,765,060,972,216,957,713,711,111,377,542,794,
146,515,298,382,856,774,949,880,496,761,657,018,148,781,094,869,400,232,653,
281,809,862,490,307,170,338,446,092,554,271,224,915,621,202,200,010,075,691,
755,567,933,501,829,972,237,167,877,977,977,175,770,559,937,852,770,200,533,
667,485,773,284,186,350,696,255,212,968,278,685,263,633,179,581,071,266,156,
874,968,040,801,583,226,642,318,326,061,467,679,258,296,338,471,366,339,800,
095,932,280,422,037,074,705,901,689,819,301,798,191,308,143,454,229,662,793,
882,880,807,962,941,859,814,220,878,830,109,311,455,582,345,449,164,925,557,
276,495,407,331,224,836,397,453,495,530,468,931,856,697,731,068,984,635,979,
708,407,392,375,029,056,640,773,014,857,470,939,171,465,188,810,135,715,711,
649,068,658,176,316,562,258,258,354,279,831,512,545,827,951,009,911,798,889,
304,075,391,503,649,977,680,267,011,406,120,309,235,986,455,444,560,473,385,
029,176,643,312,569,739,759,498,890,403,584,763,623,207,564,542,418,970,284,
343,302,947,426,953,149,224,563,649,056,382,576,188,568,870,846,436,935,395,
838,328,793,878,312,860,023,584,812,387,679,852,607,195,392,203,238,512,065,
029,129,870,825,134,792,850,466,109,320,290,789,337,219,363,532,440,558,424,
227,586,660,975,625,805,998,937,825,808,726,481,024,876,420,698,696,447,135,
280,650,921,810,076,799,074,931,222,042,810,070,867,930,893,664,973,661,888,
072,102,749,097,106,009,849,934,794,774,524,530,670,068,280,966,742,451,242,
129,598,541,301,005,032,171,421,452,522,988,031,672,375,417,471,278,916,185,
422,573,317,357,813,697,952,961,225,279,787,139,928,374,439,207,391,031,381,
281,901,724,090,010,718,821,386,770,135,239,770,412,209,205,594,450,494,183,
936,633,411,311,830,495,660,505,876,486,398,177,953,955,489,674,105,242,819,
768,226,106,779,705,785,290,394,750,536,718,728,319,887,960,907,954,284,351,
729,892,116,244,948,770,472,898,683,835,526,642,724,498,986,414,902,997,848,
439,472,183,058,482,793,621,248,000,463,870,433,686,022,685,746,459,910,805,
269,662,545,581,654,548,034,529,067,466,839,961,565,415,943,834,772,592,713,
532,371,085,081,694,873,521,404,281,622,848,484,020,039,290,208,948,924,737,
094,801,873,714,758,876,433,229,012,488,587,993,273,441,650,648,387,282,084,
391,676,083,475,985,985,276,777,641,074,009,221,690,112,837,557,467,981,026,
372,354,287,074,900,016,613,810,844,875,946,241,503,992,755,457,003,966,598,
729,415,364,101,116,236,770,859,133,898,381,914,893,348,838,004,213,765,914,
253,836,015,905,860,786,817,845,052,120,748,087,663,857,087,801,404,312,177,
798,822,251,692,576,992,402,711,447,566,200,749,560,635,876,770,188,990,298,
938,322,170,479,218,272,914,531,844,333,158,541,277,146,987,905,101,010,335,
099,504,896,995,096,399,356,505,266,967,305,715,870,743,681,357,626,956,022,
649,645,814,860,521,016,900,131,275,824,890,054,167,542,169,915,880,004,164,
765,904,973,597,685,250,994,625,422,689,293,893,020,758,201,204,882,619,455,
483,412,269,409,012,644,109,041,358,044,751,269,610,480,825,846,279,715,569,
818,703,844,060,474,894,676,440,288,091,602,120,902,023,106,500,084,879,767,
215,963,413,611,577,534,977,172,951,537,356,895,048,261,876,226,509,720,457,
005,564,971,530,365,124,084,868,626,001,527,826,250,627,515,832,286,678,202,
051,029,468,555,804,818,703,893,024,006,886,674,603,520,501,783,176,494,409,
397,712,212,206,251,545,257,633,561,080,164,926,154,089,265,094,691,628,660,
804,759,131,294,734,127,308,696,858,037,573,923,794,192,562,170,241,117,922,
625,930,955,055,274,673,756,230,040,687,043,911,507,847,707,530,005,345,459,
308,154,183,983,379,813,168,125,507,842,301,474,910,553,195,378,351,814,794,
433,889,751,366,372,139,941,434,514,093,281,484,366,093,623,470,635,539,105,
928,272,297,100,793,054,979,522,165,818,492,669,179,054,735,567,625,601,092,
001,437,682,740,881,930,615,585,877,454,434,059,499,388,032,749,385,820,198,
445,414,752,479,966,752,394,922,393,775,576,207,565,583,789,882,340,796,298,
767,205,834,359,741,785,723,491,653,272,291,916,765,446,173,795,206,400,806,
997,234,440,343,724,064,611,819,950,922,536,920,480,200,215,422,739,685,048,
591,576,636,473,333,661,390,491,232,256,803,333,662,001,698,169,256,555,939,
619,410,609,938,844,215,401,228,408,063,690,117,966,749,301,855,611,036,861,
290,012,664,736,198,671,130,087,570,716,769,922,633,388,760,455,774,505,105,
774,946,065,420,490,226,997,042,598,180,041,855,533,578,476,508,377,467,434,
292,302,674,146,704,567,909,633,672,189,583,515,886,244,097,925,090,648,697,
221,302,270,743,752,252,756,197,723,831,838,398,958,126,715,092,683,764,133,
722,303,925,887,227,013,594,398,139,721,824,901,739,327,399,625,800,018,893,
805,496,882,528,658,692,221,048,242,769,100,804,003,996,393,345,991,876,080,
146,478,128,056,832,717,154,416,888,470,471,233,691,207,035,595,381,688,847,
882,823,372,827,704,467,802,634,473,690,319,475,095,055,101,261,089,496,240,
677,264,302,821,576,257,836,667,123,998,854,984,044,900,039,736,944,679,098,
613,442,852,637,492,438,293,915,265,727,524,224,481,368,802,181,440,168,708,
289,321,514,012,803,453,179,376,947,324,041,573,428,978,963,299,760,103,329,
175,657,169,245,464,535,269,848,595,554,581,841,488,139,993,430,677,680,010,
002,829,874,087,161,181,633,268,546,261,993,434,743,048,508,439,584,513,225,
358,759,089,773,045,279,684,539,043,141,385,629,430,671,774,331,944,713,136,
503,740,009,918,341,463,693,273,378,099,889,327,286,167,653,586,794,873,785,
672,193,377,560,604,642,490,217,211,193,808,760,819,377,643,964,471,949,393,
029,325,098,772,747,291,719,367,611,852,303,080,353,497,679,083,621,631,731,
768,534,919,868,586,207,149,611,107,433,750,653,621,296,941,088,924,491,004,
467,523,316,182,619,115,334,604,301,471,581,769,605,758,167,747,918,093,140,
886,593,883,512,864,435,640,286,784,923,322,032,637,468,087,038,952,041,966,
529,882,987,560,215,930,825,371,866,394,916,597,832,907,809,333,922,674,595,
567,143,887,654,855,501,611,012,906,666,927,984,251,997,517,937,421,051,863,
726,597,003,678,314,591,782,717,477,673,340,742,149,420,408,828,226,540,228,
960,525,964,158,079,478,533,890,547,841,410,223,589,403,050,370,466,232,226,
662,729,307,662,592,898,564,894,950,564,942,874,533,086,620,823,085,934,446,
624,113,281,397,195,538,285,975,782,240,536,352,069,054,355,766,688,022,090,
922,129,916,073,457,232,738,130,116,303,167,767,358,700,863,649,467,369,082,
840,143,322,518,639,750,215,618,125,497,362,893,053,797,873,028,386,913,781,
168,373,910,831,248,165,231,015,097,066,961,886,575,374,642,580,355,815,269,
320,770,042,058,531,933,611,900,427,865,078,885,695,105,335,375,045,367,083,
459,864,461,228,162,957,271,133,443,799,630,195,412,141,723,964,210,830,590,
538,187,635,679,488,271,081,749,875,169,017,164,932,121,894,344,556,033,086,
770,607,665,779,547,670,516,732,670,739,245,002,901,777,547,258,935,593,869,
636,114,906,002,729,044,493,929,618,466,183,438,214,463,978,220,029,591,925,
674,408,200,169,692,549,889,025,039,437,020,401,071,957,067,800,767,676,209,
562,124,080,456,325,573,680,585,879,351,879,452,162,831,996,109,534,658,176,
535,541,805,290,496,210,495,178,011,487,268,933,237,434,966,633,969,845,177,
430,443,854,859,816,251,613,310,748,710,264,702,360,951,859,734,858,319,017,
662,684,987,677,285,114,368,319,567,429,050,302,685,400,851,283,624,155,834,
242,294,906,084,282,266,349,927,557,196,351,412,097,912,895,830,228,840,279,
258,218,585,181,672,990,359,674,236,344,383,794,817,259,780,982,141,894,691,
504,799,515,313,118,391,030,806,506,022,230,419,407,727,308,254,013,405,842,
775,237,430,511,074,583,510,511,653,931,925,829,324,899,517,254,634,320,775,
020,795,434,221,132,628,384,541,327,175,798,864,314,235,038,702,528,396,973,
154,307,075,030,433,604,589,615,849,681,662,301,271,367,025,692,535,356,647,
374,161,908,681,095,376,013,105,654,197,068,466,533,369,965,359,295,592,991,
140,973,000,177,276,420,056,301,513,402,152,097,037,187,786,195,138,571,540,
008,685,256,700,054,512,233,462,589,605,209,110,230,782,070,369,816,512,717,
931,248,981,927,295,169,556,780,104,102,387,437,863,128,934,473,516,930,031,
844,884,286,330,223,110,409,239,536,855,872,295,886,958,008,471,159,924,111,
790,068,996,615,731,204,726,516,494,516,849,362,005,095,153,087,256,787,500,
265,721,288,491,131,833,061,294,122,158,821,031,203,719,394,793,814,501,216,
916,146,153,552,012,432,172,224,012,525,975,195,304,332,641,306,030,944,203,
778,317,467,203,243,776,195,576,193,700,890,676,237,532,488,760,618,002,956,
154,309,450,964,098,365,700,120,329,653,699,513,348,161,551,410,315,644,722,
411,863,230,085,294,648,483,740,117,857,243,244,402,362,994,773,258,609,397,
439,919,834,558,552,782,487,896,081,598,175,608,565,232,554,651,678,688,534,
996,382,898,633,891,823,926,960,111,389,076,850,939,636,934,426,093,810,113,
481,637,962,967,347,137,600,742,073,724,925,421,287,152,621,534,791,903,249,
175,894,795,864,700,130,655,288,444,702,633,430,409,276,320,012,776,891,474,
359,124,810,403,581,760,531,100,757,133,143,956,334,067,083,443,919,552,327,
533,511,453,751,131,022,012,482,407,662,107,693,809,787,450,733,358,423,024,
879,053,284,237,116,855,275,694,841,491,199,321,022,903,461,971,908,705,777,
968,057,644,572,012,688,595,662,946,538,565,693,195,181,654,372,466,107,371,
238,073,213,997,541,070,640,242,588,520,936,860,273,014,008,390,995,176,921,
704,791,373,024,300,864,670,128,887,586,832,476,098,906,733,662,351,938,033,
608,867,937,621,020,611,920,307,965,738,839,713,315,692,764,173,981,124,995,
729,468,105,899,123,153,612,481,958,793,360,727,301,432,822,388,769,833,804,
256,880,346,245,216,165,393,801,218,704,967,344,671,277,363,226,809,596,293,
704,469,123,992,907,929,080,805,043,899,530,210,341,724,949,076,257,123,286,
030,442,085,489,511,066,642,402,987,198,971,729,922,500,113,204,929,040,601,
065,436,355,212,877,745,740,544,757,459,770,778,105,797,421,433,793,549,859,
578,921,900,686,907,539,565,420,236,463,565,937,023,871,938,760,507,542,711,
388,683,596,788,324,019,400,885,921,530,462,614,126,483,414,519,066,769,535,
500,916,636,869,625,914,863,078,489,496,484,914,682,956,948,515,053,827,718,
259,955,111,157,170,140,054,848,442,926,675,910,731,893,572,048,884,044,427,
447,554,620,425,386,193,164,786,816,792,658,861,732,625,070,093,036,326,653,
794,323,655,983,896,497,626,967,565,613,885,868,309,118,451,047,262,553,159,
064,820,968,472,187,168,801,568,518,753,158,079,482,069,780,698,320,346,726,
646,243,458,024,517,346,062,438,943,081,295,052,706,866,475,107,378,256,291,
852,408,914,470,635,722,522,638,599,537,102,713,279,914,565,091,638,558,407,
126,571,454,396,953,001,213,067,036,964,272,734,308,248,758,800,592,356,725,
418,123,733,622,171,649,751,620,603,880,954,900,590,545,623,686,845,839,415,
826,277,105,322,064,896,642,777,787,016,924,876,062,225,022,735,495,152,701,
076,638,436,096,237,481,540,694,225,729,501,452,727,620,052,516,498,985,077,
339,205,198,127,369,837,334,619,763,001,318,725,446,224,632,318,245,413,919,
878,159,395,993,319,561,857,402,128,259,273,178,764,648,546,472,813,873,299,
183,172,960,785,429,120,854,179,753,859,342,137,536,096,410,068,683,922,074,
328,353,026,793,296,505,923,754,037,031,396,753,329,526,063,535,852,901,285,
770,822,041,343,147,917,916,424,605,442,984,787,852,501,676,509,358,423,896,
040,860,881,354,350,610,445,269,737,785,802,085,360,487,883,778,802,622,814,
914,329,300,449,011,201,426,234,832,846,483,791,755,581,978,389,897,677,848,
191,421,097,121,150,241,981,340,419,860,024,664,870,971,514,484,006,529,049,
877,780,113,046,888,208,495,260,572,383,463,533,819,401,672,651,539,617,949,
590,011,623,656,602,907,070,327,251,434,929,493,654,601,787,346,353,080,877,
054,566,285,852,482,089,553,487,863,100,529,648,825,283,323,108,656,601,166,
158,207,978,307,496,652,608,974,483,477,121,236,306,144,162,128,440,825,298,
929,860,970,158,450,135,013,067,613,949,025,589,119,498,498,565,032,656,233,
351,998,452,045,037,012,201,885,670,919,371,384,340,787,252,085,364,553,844,
421,591,874,137,634,806,352,660,973,521,656,203,778,594,959,350,291,832,923,
137,057,933,727,376,487,858,385,282,439,142,617,577,850,674,846,228,871,031,
823,063,272,589,597,797,744,414,024,203,660,702,665,129,288,771,772,706,857,
504,147,440,048,509,075,398,649,607,545,266,189,043,266,368,293,572,822,350,
637,677,132,467,028,905,095,583,330,355,958,726,594,475,899,895,292,911,515,
405,694,905,752,334,299,928,088,244,188,794,608,018,303,958,261,418,809,777,
659,872,899,584,450,040,053,408,644,145,826,717,229,409,738,842,417,560,020,
755,706,412,560,601,994,705,900,706,413,028,273,693,036,996,085,902,491,533,
185,566,401,164,796,037,183,829,412,040,896,317,542,666,814,089,205,772,770,
702,964,275,729,164,666,089,851,445,393,832,706,693,441,666,261,832,733,243,
620,936,983,649,511,225,112,937,341,453,726,856,190,574,218,260,890,234,990,
936,016,912,551,899,163,949,446,300,670,799,304,148,364,181,406,183,728,566,
932,415,701,653,711,925,444,415,910,757,877,477,223,151,687,231,815,821,614,
031,121,011,460,243,539,812,832,343,479,558,246,471,280,385,589,313,442,168,
015,897,374,872,303,372,962,217,899,841,259,244,175,706,338,754,934,438,181,
022,167,479,843,139,041,777,091,926,034,345,616,070,154,822,322,489,625,263,
347,328,829,390,313,456,817,966,897,301,304,302,475,349,382,539,333,840,833,
837,227,585,340,782,781,986,723,699,883,657,377,688,371,622,263,734,962,299,
996,877,678,842,516,684,345,957,051,219,081,730,277,976,443,540,498,958,367,
604,460,003,560,065,266,582,060,470,666,870,946,622,125,134,449,849,696,651,
869,100,340,202,599,326,985,119,197,454,819,237,297,094,727,833,195,643,452,
417,773,310,950,885,880,772,478,051,525,845,044,262,758,023,299,473,327,847,
302,605,150,311,288,954,947,383,005,783,276,944,268,106,344,050,725,471,347,
235,813,213,019,055,195,333,148,120,728,939,797,192,291,593,822,129,870,995,
805,186,770,392,104,180,014,770,215,596,912,663,734,293,654,215,849,939,799,
862,009,571,732,033,013,975,096,847,184,316,013,417,745,415,457,131,301,421,
072,077,075,221,082,282,946,079,171,819,077,717,049,519,709,489,418,331,668,
697,676,916,362,088,050,487,097,524,433,704,202,686,545,869,867,364,789,729,
447,696,444,318,445,588,310,967,890,741,539,132,524,621,518,616,254,181,528,
491,455,486,473,228,862,716,636,758,197,972,469,352,010,123,319,337,402,695,
677,285,607,180,715,078,636,527,024,374,356,210,733,834,008,758,459,124,245,
416,981,654,505,410,417,804,051,260,463,429,987,566,603,321,550,618,230,467,
213,197,094,238,250,624,127,754,846,350,318,317,503,360,576,348,755,360,775,
527,716,313,277,977,080,256,261,074,031,963,255,090,985,029,094,666,971,256,
126,838,456,485,676,235,912,300,025,077,997,335,683,991,510,589,049,528,141,
931,465,704,073,235,103,461,323,730,835,008,485,852,651,360,533,597,314,758,
985,144,369,018,106,144,690,906,089,819,066,706,107,739,963,066,843,706,856,
420,009,444,780,636,687,532,639,609,330,043,722,880,535,169,060,518,870,905,
576,270,125,614,511,108,473,826,017,297,027,248,955,546,069,366,531,713,639,
526,106,158,270,993,438,157,898,630,190,562,362,467,476,532,724,925,759,441,
916,548,132,120,977,320,489,067,922,112,048,782,407,354,356,746,472,689,058,
224,679,324,663,583,515,737,793,153,047,229,269,828,982,630,703,325,716,073,
001,109,721,307,588,344,023,453,923,422,430,515,653,642,702,016,567,525,562,
451,307,263,178,776,738,000,917,232,229,698,708,710,787,549,644,915,784,709,
520,441,381,531,724,208,461,862,523,625,623,262,203,333,353,314,556,520,390,
526,941,032,817,203,323,548,655,469,056,528,753,876,744,285,456,611,188,149,
364,957,329,141,894,549,010,378,526,225,973,721,478,453,421,407,845,365,150,
024,217,312,803,073,755,895,671,709,969,963,071,931,381,380,031,212,309,298,
895,761,353,189,313,587,464,697,733,142,623,764,959,080,266,931,287,493,278,
531,698,390,310,865,699,811,114,848,218,278,472,212,749,248,915,820,728,492,
575,963,480,692,817,298,368,758,374,391,671,284,721,372,796,842,608,879,810,
016,205,880,154,572,564,805,999,602,757,180,522,393,073,347,496,263,380,620,
234,157,277,867,876,545,426,857,811,661,109,172,344,191,050,819,438,123,140,
154,380,430,851,465,776,332,797,479,980,306,575,490,733,578,347,357,600,047,
216,694,997,216,913,846,218,518,557,145,852,085,367,407,363,483,862,521,999,
359,620,505,063,682,301,505,568,319,918,664,732,996,094,800,748,603,514,659,
098,501,004,210,895,502,621,333,753,473,413,647,770,820,509,113,513,003,085,
888,788,072,616,715,829,398,423,712,989,497,722,359,944,209,323,827,920,942,
130,307,370,394,972,983,803,298,303,279,268,904,788,942,422,738,291,804,093,
576,758,642,809,840,767,329,129,238,555,712,581,163,527,677,849,498,141,316,
814,314,727,346,912,296,081,798,431,398,134,576,078,778,545,478,005,309,212,
224,250,318,329,458,022,869,365,476,199,872,949,207,681,731,939,537,468,619,
578,569,632,204,443,323,307,651,129,092,306,890,988,719,145,318,551,682,357,
732,036,879,954,527,990,816,981,877,157,677,822,023,404,954,849,184,807,376,
301,078,869,321,287,766,967,960,612,260,638,384,175,536,355,633,646,119,411,
657,000,317,654,674,471,340,311,412,641,065,575,275,633,660,438,293,143,457,
636,631,769,066,323,176,910,035,303,756,417,052,839,203,365,351,354,804,732,
197,896,248,503,960,753,784,044,633,323,037,330,084,821,729,621,553,380,991,
687,599,058,968,012,397,376,842,429,161,890,179,804,104,212,237,152,162,826,
086,587,456,169,932,396,760,523,820,781,598,108,112,154,985,272,077,747,398,
896,891,574,262,592,948,816,064,357,732,394,578,514,527,292,610,530,475,114,
082,510,702,437,235,779,318,376,670,465,860,878,294,865,589,513,723,398,561,
538,317,363,500,883,448,614,218,431,688,791,664,657,594,790,416,577,244,672,
009,695,175,875,621,022,542,559,139,869,950,229,658,240,922,494,066,333,425,
704,935,877,362,938,033,970,134,699,713,066,668,306,690,953,210,505,690,248,
953,380,795,136,805,897,923,960,744,473,905,724,576,189,097,124,989,357,237,
836,604,306,816,561,600,247,627,115,532,329,328,011,349,243,094,160,087,198,
336,680,559,993,666,435,673,771,314,634,325,355,294,295,705,651,196,543,111,
719,880,798,722,700,241,442,876,455,542,020,475,701,760,783,904,998,918,213,
323,658,713,304,661,947,956,220,845,218,328,327,732,473,783,200,173,991,139,
436,784,441,279,616,748,831,867,053,232,365,258,806,469,150,446,387,569,348,
353,664,812,309,482,747,245,217,592,028,973,791,387,984,809,364,413,018,600,
457,342,688,043,306,007,320,321,620,473,884,028,237,564,742,254,515,480,924,
258,470,118,109,382,995,902,815,208,961,226,493,298,927,795,144,660,603,592,
657,085,486,782,912,863,823,867,057,207,503,477,625,446,279,913,964,660,082,
890,820,714,878,096,495,401,425,447,777,687,496,954,994,596,871,727,158,086,
904,020,352,350,378,272,958,967,650,205,569,620,658,352,821,102,876,166,994,
036,952,698,127,447,688,185,809,624,382,869,247,471,400,686,144,047,839,719,
481,941,311,745,857,547,988,887,530,054,462,212,729,191,449,550,417,300,584,
782,090,227,627,843,967,467,532,810,498,608,475,362,017,478,887,473,997,305,
989,256,464,888,088,615,962,084,763,119,289,034,995,870,412,620,971,400,224,
283,354,217,667,866,693,294,906,452,079,089,949,455,542,294,355,071,299,318,
692,923,914,984,530,684,688,460,186,683,586,400,334,594,945,626,054,705,612,
819,502,314,751,953,113,959,316,094,945,520,854,793,427,063,835,830,249,888,
476,224,685,196,685,186,511,104,472,251,582,543,198,418,102,409,841,992,078,
457,529,617,373,980,272,932,640,060,609,537,380,659,988,751,055,621,668,467,
517,348,383,108,785,433,815,760,015,221,313,065,559,121,175,539,606,027,132,
999,199,911,585,200,713,191,570,418,813,503,574,307,094,814,857,110,080,553,
346,253,414,913,825,066,572,757,638,640,458,158,409,577,338,737,042,381,384,
642,992,171,646,541,464,363,320,475,243,388,164,205,245,275,979,332,612,193,
417,027,547,173,978,287,668,348,438,665,914,492,540,769,745,874,514,567,702,
776,300,320,327,295,269,548,503,707,821,175,989,111,107,615,105,319,336,933,
024,170,711,883,252,567,530,954,127,716,291,766,992,772,610,424,259,749,252,
463,493,041,724,061,438,443,546,210,538,717,163,021,799,985,855,204,220,342,
812,852,907,168,536,349,632,848,304,243,179,091,908,234,393,862,497,540,150,
585,164,530,839,018,233,273,478,244,600,214,195,001,039,529,434,601,034,192,
614,380,524,290,986,040,053,381,506,533,788,800,410,703,668,606,206,194,865,
864,559,728,256,137,201,056,153,353,433,138,901,949,851,973,500,146,648,142,
247,515,061,099,323,578,162,305,181,057,493,874,691,019,561,174,964,510,787,
628,719,222,479,503,601,514,033,607,926,583,938,069,774,234,835,630,728,120,
341,133,468,029,080,419,895,523,564,680,668,258,671,372,979,335,130,015,084,
187,021,893,379,956,283,490,067,970,218,337,490,027,599,188,301,644,113,166,
125,017,201,487,364,958,417,468,230,048,970,697,454,547,640,033,784,231,770,
931,107,030,663,024,779,889,317,721,134,864,261,742,915,808,670,583,287,287,
142,832,291,246,755,495,153,341,100,373,700,911,062,194,853,765,105,216,554,
627,843,528,991,406,501,866,470,629,289,541,023,592,763,802,116,437,190,441,
926,024,601,622,383,889,444,823,966,653,651,399,028,657,561,326,266,698,975,
466,490,909,270,829,673,567,475,841,622,788,068,572,833,935,473,538,500,375,
766,878,052,244,838,056,045,274,979,173,768,950,346,970,761,728,236,369,229,
798,123,981,516,424,303,135,488,617,286,738,619,607,979,416,907,027,187,717,
643,498,241,517,312,199,597,655,334,725,736,741,526,899,200,785,749,853,427,
378,080,699,521,723,040,202,516,867,062,464,569,837,907,763,967,851,145,377,
486,365,372,305,782,109,270,800,488,855,734,930,740,582,423,715,556,492,797,
232,284,370,953,576,737,358,698,880,180,368,424,906,171,564,355,478,523,478,
580,839,855,782,979,658,762,841,599,475,859,299,564,626,792,900,539,329,518,
806,395,257,701,498,639,723,502,813,530,936,245,260,290,987,411,115,714,615,
717,116,784,888,709,972,370,497,248,644,339,515,222,214,273,184,300,454,442,
114,033,086,303,611,967,035,597,373,528,950,185,175,490,513,166,654,725,018,
810,894,949,820,367,118,073,753,370,798,312,515,449,642,809,844,817,202,699,
896,742,850,149,451,253,020,336,198,233,401,850,367,080,638,048,941,315,210,
065,315,391,780,794,212,842,280,799,431,009,901,123,238,581,675,429,672,441,
253,448,842,471,283,767,881,997,228,855,568,232,725,344,915,523,131,251,075,
085,829,828,510,264,215,349,893,129,405,687,848,983,609,863,512,311,782,811,
510,651,470,911,273,703,057,049,910,019,536,255,184,975,658,453,716,886,207,
701,773,519,019,981,837,231,670,996,301,109,833,697,868,937,592,886,723,138,
835,152,391,370,400,939,214,671,026,935,873,060,518,867,116,260,384,168,266,
377,977,926,547,908,673,382,392,317,623,046,651,478,430,950,548,342,937,417,
454,080,693,136,164,485,634,941,218,941,327,591,660,344,113,370,310,460,765,
194,585,433,409,694,647,189,657,622,207,564,202,597,819,873,380,267,466,994,
391,957,359,924,274,281,113,969,792,906,504,650,933,278,376,377,184,875,455,
386,185,864,367,627,487,843,761,786,893,612,621,124,950,215,311,399,303,648,
943,266,988,120,821,799,195,505,337,361,312,675,901,419,030,532,387,204,720,
028,349,114,269,284,558,378,471,794,653,719,135,073,026,912,317,904,263,669,
494,467,518,091,366,111,724,061,143,157,608,172,837,793,846,875,318,395,303,
502,869,260,931,610,014,246,006,033,804,127,397,096,760,457,522,208,888,192,
376,064,115,259,222,416,890,671,747,260,616,475,374,914,376,542,770,012,463,
112,556,057,629,045,351,715,666,830,594,122,886,043,918,945,803,152,350,022,
046,690,037,849,681,903,252,340,749,873,248,296,257,327,579,896,138,606,894,
255,986,277,691,835,202,533,031,586,049,440,796,345,562,860,292,828,634,142,
092,159,177,623,365,027,495,206,605,679,314,157,473,175,849,526,979,480,474,
665,098,193,030,930,863,504,595,931,405,953,705,987,991,764,417,034,710,956,
752,714,746,133,171,795,232,304,184,513,321,729,631,976,559,936,309,675,240,
841,955,206,345,284,618,821,902,558,377,547,933,374,787,536,513,825,534,902,
431,578,328,373,171,638,988,905,174,608,985,161,358,251,736,003,987,929,259,
112,608,536,225,559,621,826,951,935,890,537,892,463,724,217,279,274,069,082,
327,325,566,670,738,603,264,357,610,918,079,197,540,813,017,988,124,623,795,
760,232,923,654,749,511,427,209,671,843,063,154,146,023,674,483,018,350,422,
256,167,488,842,708,939,559,024,219,926,872,259,892,210,786,696,286,987,908,
314,774,366,043,257,265,897,663,963,532,338,250,630,175,590,240,383,679,854,
350,680,414,127,952,725,205,977,825,178,016,910,148,624,929,143,289,490,251,
087,658,014,030,535,536,774,427,074,848,088,502,552,547,341,554,619,963,777,
713,308,376,101,902,390,354,992,631,847,260,013,841,890,323,117,279,639,112,
736,212,473,601,126,153,024,975,159,999,768,751,781,374,214,434,222,242,898,
254,516,249,442,944,270,346,398,668,327,568,474,480,772,444,955,335,212,169,
658,154,603,287,742,733,403,938,951,612,212,516,212,624,105,335,828,604,526,
502,373,823,189,627,480,944,141,011,489,086,442,869,535,597,598,395,851,315,
776,504,355,263,039,961,863,099,401,228,121,502,108,486,898,368,894,063,014,
969,459,355,220,871,604,660,140,465,164,167,870,467,351,024,066,524,331,421,
507,896,185,693,411,317,118,551,728,562,592,489,364,440,916,966,830,112,450,
991,529,160,437,340,184,638,057,631,252,852,819,002,662,706,856,874,334,025,
964,376,529,703,069,379,109,332,504,092,895,102,962,772,067,808,509,558,290,
052,994,685,333,646,359,232,763,308,423,553,712,411,394,733,191,258,190,663,
341,029,807,076,646,580,355,063,029,767,647,239,639,048,772,886,588,093,360,
165,528,589,961,404,617,597,342,318,946,190,974,198,810,598,012,041,573,224,
300,030,803,222,246,097,736,972,880,626,921,734,211,168,177,021,765,958,203,
802,022,438,347,516,826,219,088,070,477,434,876,211,972,875,502,755,219,880,
851,246,855,428,003,136,044,613,431,183,848,829,178,969,682,481,870,983,623,
715,606,912,392,972,584,117,484,941,483,966,750,251,629,749,317,101,396,659,
411,258,884,860,038,555,455,682,466,517,397,702,918,049,220,088,541,049,169,
984,610,716,573,941,987,327,365,680,066,970,245,346,778,888,453,532,519,784,
290,259,547,203,931,266,681,550,091,449,064,364,289,340,882,509,705,715,548,
614,520,491,047,720,124,462,962,206,070,620,234,587,976,774,581,079,754,603,
090,913,769,608,480,445,670,699,116,592,851,582,617,955,528,804,176,269,321,
529,066,178,435,913,420,426,163,135,776,194,287,057,990,586,516,643,648,708,
029,097,220,056,202,065,992,589,297,074,330,352,719,969,903,767,371,548,857,
073,529,432,565,253,780,920,721,857,358,646,876,162,270,997,431,912,835,448,
805,975,251,393,878,738,471,315,261,446,312,800,512,811,158,761,180,185,867,
543,743,622,480,462,410,233,090,440,239,147,087,305,731,497,666,337,323,253,
531,820,418,456,238,054,566,727,923,659,581,719,920,892,832,024,883,024,615,
336,190,660,657,594,826,245,785,175,121,272,869,447,121,266,731,008,005,888,
426,852,666,697,274,294,705,026,617,641,020,638,706,952,524,897,850,334,704,
697,763,328,061,138,491,147,283,167,546,956,851,229,631,902,036,549,490,040,
957,596,819,979,662,754,344,737,800,563,966,082,299,755,900,344,129,997,253,
126,232,730,440,283,162,942,801,916,767,693,099,037,460,558,200,671,467,337,
156,381,113,565,445,455,057,555,705,443,493,447,415,330,925,607,160,604,263,
381,598,571,325,666,053,626,077,210,533,769,557,559,460,850,586,384,487,083,
700,059,587,392,094,845,119,316,665,108,857,561,616,546,933,972,659,676,279,
492,871,413,901,162,926,720,444,731,826,002,657,318,370,718,104,808,202,475,
065,213,735,849,790,015,714,382,516,368,876,227,033,191,091,364,381,852,640,
991,012,859,741,353,058,666,735,368,456,631,103,419,926,287,153,923,834,901,
933,002,569,556,347,606,351,493,231,270,795,908,822,143,357,834,381,936,562,
704,262,181,178,311,533,520,676,073,299,859,457,066,211,676,895,928,984,813,
329,497,183,121,561,372,411,772,573,145,138,801,442,743,718,040,230,683,838,
519,139,777,341,746,097,799,578,775,405,777,428,278,172,659,750,482,515,535,
871,206,324,966,376,191,680,808,831,496,706,754,526,377,260,420,515,173,206,
704,663,863,191,336,157,122,788,816,764,591,094,007,124,817,698,659,132,657,
119,591,980,701,933,677,879,010,999,563,518,614,495,139,334,781,695,598,718,
019,026,174,225,273,236,225,630,949,002,914,074,597,145,932,353,893,991,684,
402,895,224,946,831,360,106,569,390,838,233,932,579,796,166,406,299,392,815,
232,620,862,310,428,635,045,798,437,952,230,143,684,252,278,181,717,655,500,
579,622,705,584,543,548,267,249,858,882,953,039,420,135,625,921,344,228,172,
990,255,673,506,892,864,495,851,445,937,447,896,894,061,100,320,433,953,101,
565,614,929,692,089,513,840,676,182,472,600,667,269,024,849,179,618,007,963,
943,469,878,125,182,026,720,236,614,351,608,011,906,184,968,139,128,628,255,
481,542,391,067,245,523,878,182,308,228,155,464,242,654,415,460,890,066,818,
213,100,042,119,695,909,022,612,349,366,847,454,009,016,990,384,935,544,605,
712,863,217,646,373,671,697,372,260,272,672,175,752,940,170,058,602,555,845,
293,136,364,696,701,502,134,165,456,736,164,342,415,529,320,910,397,320,475,
128,098,915,042,728,935,936,109,728,280,572,640,061,334,932,415,719,843,830,
657,864,448,758,140,219,433,705,132,003,582,756,994,689,034,262,730,432,072,
722,339,246,382,598,325,765,454,033,789,715,312,560,861,320,251,508,946,766,
045,647,640,858,605,689,359,221,689,128,703,997,168,901,279,092,505,094,354,
234,681,197,388,062,555,786,794,396,031,078,169,219,101,088,326,916,922,706,
179,811,545,208,837,421,256,063,249,870,715,932,146,251,980,705,533,751,256,
563,150,577,250,690,937,743,089,885,565,434,467,271,009,054,276,456,277,914,
740,821,068,574,218,993,646,495,985,092,478,859,644,757,263,687,985,485,889,
323,909,490,029,991,593,636,570,951,864,760,677,990,948,172,987,408,043,418,
754,358,718,694,662,933,357,698,502,730,813,645,582,354,892,668,872,649,914,
066,887,105,333,421,630,862,330,568,693,519,269,599,048,933,379,588,719,123,
037,354,393,986,017,540,222,502,877,483,203,269,260,063,919,062,076,050,738,
631,134,486,236,919,236,526,229,180,468,526,504,903,102,013,817,752,421,726,
843,469,710,966,735,085,803,039,637,200,035,946,996,691,001,616,813,918,330,
409,777,580,666,170,443,734,357,392,303,487,242,287,471,509,661,271,265,956,
441,496,056,167,745,890,554,605,384,551,122,910,100,687,373,232,719,180,621,
740,810,383,311,922,499,029,834,547,727,670,899,084,109,015,298,945,615,134,
287,673,923,845,105,785,589,394,543,270,660,579,161,264,680,219,155,218,387,
843,100,562,051,161,702,731,082,622,291,867,877,798,755,165,737,184,013,863,
733,508,109,747,688,623,247,495,952,226,111,061,237,794,574,822,380,998,433,
946,947,967,880,493,994,641,387,357,046,755,802,508,787,224,087,760,573,189,
979,821,788,109,919,888,801,707,521,038,775,297,436,998,470,986,572,318,430,
139,759,966,645,352,476,789,245,950,065,044,673,835,586,253,501,494,901,641,
398,774,695,114,444,434,737,171,375,902,156,855,148,366,673,198,689,484,752,
858,992,759,497,144,159,236,153,329,646,600,506,353,948,683,914,570,468,941,
426,891,921,266,501,758,379,771,790,829,230,708,338,972,054,444,035,293,122,
642,723,864,118,235,935,025,176,853,807,209,702,121,159,874,947,919,646,349,
052,364,482,723,407,389,297,081,715,537,403,314,028,851,286,058,595,872,993,
032,733,783,811,923,816,366,159,334,518,484,067,133,102,167,693,170,381,539,
634,829,949,923,395,874,956,818,460,508,050,871,852,164,804,641,877,342,489,
829,368,366,476,973,216,817,653,078,931,087,624,263,594,301,052,548,325,256,
975,051,229,713,160,977,586,805,082,342,305,832,460,746,850,553,688,172,027,
986,076,201,778,232,321,310,367,850,010,241,683,604,362,351,462,543,038,554,
585,269,276,159,215,803,010,310,981,243,917,016,687,993,497,703,866,590,257,
106,034,956,814,684,993,634,453,048,278,330,966,880,620,365,468,383,221,063,
219,267,472,492,321,081,312,021,782,817,384,541,544,417,274,279,693,871,108,
360,082,454,165,297,413,720,977,772,880,845,331,033,172,717,432,968,351,181,
296,697,668,186,731,270,236,285,795,460,688,909,194,785,826,483,363,659,270,
509,180,020,210,603,001,714,693,830,187,070,892,138,936,438,955,417,265,089,
173,582,534,610,848,770,752,035,428,319,027,914,929,266,675,217,279,813,345,
018,568,101,691,422,622,864,913,541,045,214,060,511,441,899,267,098,364,533,
022,962,208,749,988,537,704,329,610,569,277,819,431,559,744,292,015,315,340,
197,334,920,052,340,520,910,269,149,026,619,006,003,520,001,736,147,359,552,
780,001,186,940,007,717,521,424,951,823,353,305,597,108,229,001,571,310,690,
385,242,168,454,349,434,628,735,430,545,421,710,470,730,201,958,944,295,073,
563,349,960,711,976,097,773,424,293,531,326,687,965,210,215,235,307,880,874,
296,652,844,973,641,415,807,178,106,648,304,724,402,363,208,432,055,993,089,
571,291,233,506,789,915,959,316,703,154,923,077,434,236,417,866,772,107,408,
639,988,427,960,509,241,492,795,139,295,913,079,262,331,860,801,530,970,270,
785,327,070,663,678,097,272,903,692,119,619,962,876,615,065,808,782,194,035,
029,088,086,164,369,006,525,129,791,806,080,194,032,774,436,249,542,742,787,
050,884,099,234,276,926,476,650,796,865,489,336,699,598,435,370,719,619,071,
274,517,926,346,334,318,880,437,707,860,195,230,203,282,018,590,669,450,036,
091,058,937,331,001,638,291,049,759,906,557,639,586,325,632,305,713,552,924,
216,112,247,949,142,924,225,303,753,431,650,951,184,317,461,349,916,316,205,
520,998,882,420,969,962,178,702,391,812,938,346,189,386,456,591,205,364,400,
225,565,488,639,121,135,304,780,279,701,086,487,246,447,414,067,122,482,157,
601,129,925,577,259,962,801,345,241,205,229,485,610,469,547,588,923,753,398,
985,636,847,419,823,727,282,386,416,144,648,171,519,076,758,516,249,327,184,
692,781,264,622,827,746,870,222,528,761,145,007,717,413,072,206,657,698,170,
042,331,914,337,373,611,953,554,620,505,426,410,486,012,948,955,168,827,378,
259,510,458,640,129,991,591,517,604,693,602,445,793,288,903,717,086,206,107,
965,204,565,573,688,139,871,528,839,183,052,827,191,420,713,339,641,555,249,
786,159,226,393,504,684,696,205,877,934,686,253,442,624,250,629,477,892,164,
158,894,097,863,217,325,608,085,876,866,878,279,631,459,590,107,423,862,651,
445,416,730,038,153,546,879,111,321,697,973,092,793,493,356,977,423,057,929,
199,873,255,992,715,606,519,660,801,295,925,264,784,210,512,426,590,082,611,
505,134,738,518,650,104,877,401,144,418,538,913,907,538,627,524,419,246,470,
093,577,817,564,935,569,462,978,603,396,300,308,721,815,548,325,026,016,853,
876,296,564,983,365,245,775,009,319,579,962,484,295,081,713,584,450,123,099,
165,902,125,255,251,905,754,230,724,428,652,168,722,488,392,593,399,860,618,
637,373,125,645,820,138,883,825,153,532,057,150,402,111,579,282,497,766,141,
637,468,093,739,679,427,648,821,746,733,873,019,145,111,964,476,814,207,194,
053,852,143,891,583,749,908,382,788,362,983,280,021,585,950,535,099,600,247,
328,356,080,207,373,933,896,766,690,851,329,135,505,714,995,200,222,355,210,
817,308,743,571,345,009,855,333,862,492,988,703,165,126,299,171,639,699,477,
335,000,136,360,903,068,575,848,529,388,016,109,731,666,371,270,469,928,466,
599,681,352,721,680,449,222,350,423,052,511,014,378,000,582,228,364,618,108,
041,139,314,122,738,450,303,363,570,682,969,339,907,622,212,159,257,160,166,
207,915,603,783,319,767,561,745,780,124,431,178,227,176,498,729,787,052,853,
765,097,487,569,320,809,752,460,126,860,850,050,563,598,426,412,966,640,245,
334,020,182,200,040,294,779,006,677,798,628,586,133,323,876,805,938,334,143,
933,699,559,554,715,831,589,566,248,315,886,523,255,558,247,688,570,334,393,
851,907,661,416,684,079,533,075,781,381,174,594,607,088,144,384,654,896,654,
643,517,634,639,240,633,147,061,438,626,406,088,848,260,189,668,920,334,384,
829,419,003,896,673,813,236,064,238,524,114,840,595,068,425,732,650,266,204,
587,235,209,909,935,719,839,214,998,708,134,524,952,118,454,907,825,617,879,
468,789,296,429,224,408,897,260,391,638,494,018,246,798,414,184,375,037,108,
770,889,265,132,848,969,770,187,926,426,709,083,182,296,342,408,811,099,356,
114,223,721,150,619,064,512,163,010,125,254,022,323,862,263,583,538,352,521,
459,603,172,237,083,151,591,707,728,180,419,789,851,580,933,887,567,958,663,
321,206,558,810,446,129,335,440,820,282,206,424,958,309,764,771,252,177,629,
687,581,725,930,280,300,468,932,247,395,133,174,828,636,020,157,656,966,924,
049,286,416,578,232,976,694,479,484,391,409,054,440,360,629,549,550,323,155,
079,118,498,015,792,297,264,242,169,104,647,456,440,449,489,429,612,829,467,
239,287,813,584,650,600,094,568,465,826,526,225,061,358,489,022,682,942,985,
019,817,032,082,896,673,957,718,858,967,803,418,975,165,864,825,738,989,963,
068,936,042,464,448,654,393,559,211,812,139,411,706,807,579,316,608,064,017,
232,316,376,266,359,456,689,298,631,781,426,011,541,394,980,074,666,145,281,
090,862,357,058,770,115,417,856,857,783,632,843,348,467,324,086,051,245,659,
609,293,210,506,376,295,251,224,322,273,116,959,991,632,359,938,677,594,940,
896,400,198,728,385,493,071,201,648,959,032,323,446,472,787,983,099,536,682,
454,245,213,699,927,372,300,698,268,528,523,012,099,827,470,601,671,370,633,
962,021,293,734,222,831,741,550,849,397,110,136,228,284,274,441,513,351,052,
900,195,941,015,347,185,551,618,867,012,686,310,056,039,963,847,459,984,218,
619,575,805,820,211,486,906,924,222,020,669,957,292,695,408,348,206,020,484,
640,022,548,452,742,659,950,760,451,402,789,702,195,126,086,386,604,187,376,
164,799,133,208,895,899,928,561,324,911,329,103,654,587,674,604,702,086,169,
418,996,338,025,305,271,806,874,277,497,620,186,190,799,798,621,771,820,787,
873,848,008,153,667,081,450,123,647,111,388,267,347,989,920,613,596,966,061,
645,409,226,926,591,411,529,012,852,361,976,142,492,034,841,662,649,434,582,
771,942,596,031,337,629,719,213,894,702,725,049,448,293,092,086,821,314,754,
308,015,520,310,331,042,489,155,616,879,249,973,926,730,913,345,443,083,061,
851,582,892,758,314,377,137,820,560,845,625,711,896,660,187,962,045,441,375,
252,655,020,548,702,036,247,236,420,636,882,848,105,054,173,789,710,050,162,
501,992,809,854,401,917,558,079,022,341,202,838,240,153,072,568,590,303,489,
562,458,909,963,573,012,602,135,074,347,316,371,349,618,269,055,048,711,363,
715,020,420,509,976,669,545,394,108,119,539,846,417,442,178,431,599,858,492,
334,366,350,229,232,461,961,735,195,652,907,584,812,915,969,340,186,074,648,
130,438,114,845,294,743,675,060,444,489,947,007,692,950,361,196,655,574,725,
362,277,938,903,544,291,279,229,392,593,416,038,953,135,159,572,756,266,008,
834,457,078,127,908,028,489,965,559,769,079,769,229,413,968,211,512,022,155,
587,713,792,337,677,842,820,867,680,334,590,798,596,703,648,804,735,358,088,
379,294,778,371,169,897,083,232,689,139,361,985,587,543,274,956,744,268,197,
691,615,156,261,936,027,970,456,535,660,885,011,213,024,123,944,922,852,244,
774,408,533,614,905,646,710,494,548,251,241,188,389,170,749,271,404,179,387,
458,696,268,614,816,979,947,204,361,436,076,382,783,670,580,539,819,474,450,
149,901,223,922,812,046,014,060,623,860,994,163,851,521,500,852,807,068,698,
611,489,069,860,130,250,285,343,634,814,665,720,518,447,479,903,478,073,367,
883,130,419,440,262,689,237,266,922,243,097,894,579,885,710,468,864,956,190,
297,063,820,886,988,505,079,490,174,967,599,176,218,306,243,171,563,454,176,
585,860,907,395,868,824,504,632,366,574,676,967,629,292,161,849,426,803,802,
287,209,445,701,141,365,666,021,987,091,460,095,463,053,011,632,094,804,300,
775,365,053,433,258,785,511,312,129,244,979,124,680,479,170,175,608,199,089,
567,123,285,551,525,133,924,367,545,937,173,402,939,026,607,397,559,201,094,
371,987,345,258,639,583,304,414,840,415,218,762,199,116,135,719,731,380,062,
104,029,093,211,602,750,760,651,036,904,220,477,109,674,938,388,264,235,235,
578,575,430,985,517,212,664,932,682,196,631,917,443,025,521,160,241,078,484,
144,157,571,613,601,078,601,750,177,272,359,721,999,496,904,617,255,705,631,
210,658,484,171,643,685,446,100,016,238,058,213,222,352,823,498,937,845,819,
902,082,420,898,852,284,126,430,168,257,607,550,948,995,769,955,965,174,168,
644,805,106,694,533,931,757,517,732,290,656,225,413,685,367,598,609,770,374,
539,310,667,288,959,302,235,766,513,122,639,175,775,624,720,577,668,438,511,
582,740,497,402,522,222,830,959,612,571,630,039,768,587,402,455,896,007,132,
055,031,249,708,182,738,371,042,771,406,123,604,439,920,811,239,506,266,854,
447,374,442,300,537,875,271,925,542,822,965,636,342,396,115,455,813,650,922,
006,062,212,186,788,102,536,701,119,697,507,291,358,208,477,755,196,237,173,
762,673,641,250,109,845,479,078,567,312,813,633,859,882,366,838,088,078,117,
633,841,755,184,429,456,082,223,034,963,103,862,507,453,097,090,833,881,622,
019,281,113,950,239,950,198,514,200,932,187,353,574,332,048,262,703,219,686,
219,162,355,686,962,822,756,815,446,754,027,523,449,636,652,468,547,986,046,
361,632,476,751,254,876,526,773,311,413,349,090,312,187,851,130,466,344,781,
213,769,107,481,182,575,791,072,335,147,539,084,092,276,352,388,982,986,494,
732,988,632,454,347,838,419,687,915,669,177,640,951,326,591,303,464,734,659,
684,735,778,229,553,226,195,432,034,191,085,722,791,616,257,285,288,226,400,
265,105,265,551,774,956,060,449,646,518,597,692,164,488,935,637,446,924,067,
217,022,175,837,235,507,076,092,030,971,357,371,787,599,867,673,086,724,388,
195,331,719,031,071,074,357,733,473,354,513,023,241,365,462,518,313,055,055,
596,607,940,022,312,223,021,923,671,867,077,808,891,150,539,169,102,672,517,
234,578,555,240,212,445,804,660,139,618,439,442,825,086,976,301,655,074,792,
692,136,321,995,794,814,416,675,078,302,086,690,286,989,611,812,925,940,130,
599,700,234,138,917,020,239,212,941,948,972,887,859,636,896,876,990,760,113,
737,090,851,978,672,323,791,392,334,838,730,443,095,100,425,809,800,342,971,
636,379,727,318,151,825,782,181,921,058,410,037,701,622,331,467,983,104,202,
000,750,628,078,365,568,729,483,231,747,432,432,847,963,292,336,500,594,044,
041,310,162,933,319,029,539,836,690,693,989,263,136,358,212,138,718,718,909,
132,198,406,163,769,297,203,872,789,818,278,404,277,237,910,570,203,565,887,
552,046,955,249,317,937,371,889,746,801,499,075,707,368,591,326,248,884,000,
660,356,815,599,470,186,305,259,704,575,832,280,014,209,811,321,897,832,017,
520,752,009,368,162,922,032,550,214,319,485,788,360,578,031,948,628,107,679,
488,211,472,662,122,295,299,723,646,830,048,859,315,395,587,290,608,573,960,
123,752,285,957,412,032,547,351,705,362,626,970,843,931,486,422,991,196,727,
572,660,329,737,734,358,111,513,075,664,737,579,825,709,262,128,038,984,395,
426,214,001,327,459,611,242,930,551,050,303,332,104,531,676,802,519,502,569,
451,958,227,943,834,478,632,945,604,291,048,433,462,367,018,308,895,977,915,
678,773,199,480,775,604,525,144,039,046,129,145,986,579,219,842,520,993,651,
362,263,855,224,405,726,098,386,855,400,245,207,714,634,685,039,595,167,491,
164,413,369,563,026,458,526,812,602,881,920,153,775,452,988,930,093,804,000,
584,038,776,337,580,628,017,304,232,371,303,161,909,477,820,453,904,849,593,
543,138,944,449,030,903,538,537,340,070,431,574,903,694,295,901,617,388,326,
583,657,835,102,839,888,456,278,727,372,781,871,562,537,890,366,691,896,074,
477,729,945,241,766,022,166,719,715,843,708,882,410,092,562,002,118,753,120,
642,237,148,699,190,428,144,985,500,350,978,678,897,867,298,493,753,271,921,
834,486,223,053,964,932,146,013,946,534,584,357,236,646,582,412,498,366,518,
192,771,737,062,384,772,870,321,395,299,557,498,003,560,260,847,492,722,408,
461,756,024,994,048,749,928,860,997,254,237,014,642,521,021,594,074,805,068,
520,936,078,519,416,755,878,648,740,081,241,212,825,942,651,889,392,021,205,
215,400,289,221,946,829,480,197,023,197,816,723,923,403,026,959,249,355,148,
210,975,407,767,036,262,624,724,207,435,970,606,225,703,369,430,181,312,920,
810,695,850,233,805,393,154,810,001,033,719,518,615,684,474,009,353,205,801,
923,451,129,251,604,386,462,786,581,680,313,956,606,137,315,463,044,284,133,
783,026,540,895,289,124,131,368,590,934,038,633,763,687,204,976,221,408,748,
342,165,231,413,615,575,216,345,233,965,789,417,429,589,726,815,040,830,282,
480,246,287,709,278,403,919,949,746,010,766,799,998,891,978,290,606,763,125,
081,573,554,242,671,003,280,090,718,594,445,116,331,346,615,903,798,367,006,
332,880,878,192,436,338,020,800,825,305,909,195,216,718,847,973,417,570,444,
672,665,765,892,937,563,093,007,804,531,669,913,819,789,115,439,074,868,852,
172,558,303,925,200,704,620,233,799,984,773,098,795,745,836,491,764,206,260,
283,614,873,811,616,933,658,653,653,503,177,750,043,818,427,563,892,633,826,
743,205,895,068,427,153,548,023,678,199,494,590,255,964,982,972,840,304,193,
531,398,117,180,538,441,837,378,010,839,217,345,808,723,503,790,157,592,504,
105,115,687,142,529,055,099,183,582,123,098,376,940,047,908,170,763,776,052,
040,132,036,998,351,502,401,526,540,035,553,567,987,842,149,912,775,130,892,
445,109,192,366,223,584,305,376,110,860,479,722,091,038,299,178,399,533,494,
683,782,766,641,150,808,865,628,846,648,402,335,019,902,559,005,207,008,267,
226,506,698,081,843,491,745,696,316,477,763,351,713,239,865,618,350,219,893,
736,634,743,468,410,479,356,496,537,707,091,168,349,970,541,563,600,656,062,
133,924,933,011,026,010,883,259,115,469,622,597,546,788,837,013,645,236,056,
650,036,533,682,322,172,015,117,859,423,883,575,291,512,210,017,994,286,299,
368,529,246,339,391,431,256,580,266,426,629,028,636,128,062,346,325,009,286,
374,040,384,866,170,742,849,725,449,293,402,321,441,110,892,038,836,485,877,
978,488,079,555,529,924,348,940,442,263,219,483,959,982,776,645,399,843,509,
674,053,282,685,650,068,482,886,551,667,170,626,394,809,790,607,105,328,286,
941,880,129,930,197,082,612,526,043,919,835,916,299,306,297,511,434,542,194,
809,761,248,915,139,222,731,781,001,919,453,964,345,153,508,998,164,841,394,
115,631,124,453,530,201,117,332,103,419,245,907,061,104,911,861,921,607,268,
460,780,694,480,078,895,586,500,715,439,422,077,827,939,088,832,466,494,648,
785,640,366,383,237,984,338,988,034,199,231,361,580,219,357,463,355,976,181,
300,761,788,830,257,368,201,591,011,238,797,880,607,261,916,178,974,177,873,
535,286,633,072,522,297,491,304,610,219,532,001,696,796,736,580,326,234,450,
151,436,786,009,141,828,255,615,089,675,505,327,785,014,721,260,498,657,741,
638,251,388,000,148,581,608,149,145,652,329,219,316,955,722,525,823,093,827,
619,617,413,957,862,289,768,358,158,201,241,300,172,551,490,501,843,030,229,
372,737,042,729,495,914,241,086,214,489,442,290,679,466,440,813,323,800,236,
003,746,347,417,074,973,244,527,956,666,893,022,062,238,038,226,648,931,089,
306,469,398,889,428,486,187,906,217,195,229,351,352,827,458,487,658,315,519,
952,453,885,725,947,087,372,471,481,514,719,375,241,185,528,647,418,240,190,
286,392,665,171,580,048,432,139,885,657,054,908,568,337,950,563,668,240,531,
451,380,872,040,655,026,845,518,527,189,537,501,413,582,509,182,841,364,861,
496,189,608,175,687,598,911,418,218,380,643,346,198,102,569,664,239,661,803,
859,260,114,362,186,137,176,235,837,514,265,451,799,432,572,259,693,182,900,
998,233,904,514,383,295,335,614,525,052,943,557,736,008,106,929,357,020,184,
397,225,075,202,748,870,113,341,151,912,385,972,152,051,043,290,826,922,269,
421,054,608,268,467,902,117,909,235,895,033,123,853,652,970,271,553,637,492,
872,937,188,074,111,522,802,127,426,438,916,424,414,641,309,021,885,630,933,
566,790,476,701,878,561,274,148,266,000,540,382,233,058,226,681,639,461,783,
340,812,473,463,371,216,210,144,739,438,053,222,286,928,786,673,613,271,692,
520,012,165,562,933,508,687,821,102,902,682,100,111,247,681,510,496,388,741,
432,389,146,334,000,528,144,903,121,671,087,838,697,671,390,324,986,618,737,
784,506,426,113,125,540,936,559,382,745,188,862,830,217,071,993,308,661,431,
174,912,496,746,295,382,314,298,306,400,545,303,941,126,064,214,386,963,025,
572,224,241,383,859,309,989,962,070,482,109,036,972,155,772,555,645,252,140,
244,012,164,363,948,875,407,626,067,957,360,745,362,168,045,132,093,038,379,
755,915,620,796,570,151,743,957,949,940,732,273,413,007,061,149,042,636,415,
037,346,959,299,525,603,920,071,733,706,760,668,389,671,728,203,832,930,668,
504,870,548,784,027,174,873,676,678,709,509,013,953,324,811,391,326,672,726,
449,964,299,584,491,644,617,431,504,287,233,754,742,002,014,914,844,998,601,
286,284,118,451,594,950,888,990,696,856,819,922,466,928,786,744,573,056,983,
183,783,043,053,476,308,174,099,467,596,069,884,586,833,268,031,318,199,067,
963,248,499,293,240,066,933,167,207,289,891,054,038,793,276,327,105,492,089,
325,132,231,305,585,434,183,000,242,964,298,990,128,715,080,162,269,265,606,
827,417,136,019,404,228,681,897,153,618,009,288,753,556,409,582,970,299,464,
410,557,256,071,379,705,767,716,032,520,882,288,252,934,688,029,906,395,749,
488,178,621,263,114,819,681,341,336,444,711,676,185,962,103,719,054,573,420,
442,578,932,485,225,594,903,007,850,665,477,362,353,134,779,381,880,838,011,
382,288,937,198,821,278,133,380,812,439,559,371,970,384,936,670,690,069,398,
479,880,077,060,259,774,687,192,500,295,404,348,228,942,782,069,426,786,023,
624,890,696,938,772,137,097,066,516,733,824,123,167,157,953,630,845,581,228,
956,544,061,686,519,746,369,040,216,326,689,279,848,168,060,860,992,328,166,
976,943,038,427,624,865,121,656,562,404,479,264,257,162,409,885,960,180,396,
716,006,913,404,493,619,165,259,222,248,750,441,194,012,002,804,172,292,250,
443,072,199,055,766,821,504,754,069,881,049,425,262,102,517,476,147,958,422,
046,541,207,470,952,605,097,920,501,512,931,548,681,195,367,961,840,860,937,
920,774,063,558,934,503,617,881,274,919,499,368,624,628,211,635,363,960,187,
745,811,260,983,597,976,103,567,024,410,480,224,063,079,666,079,687,359,758,
489,408,972,071,484,584,635,412,380,489,835,329,904,234,553,056,259,141,599,
666,942,006,492,627,915,308,973,842,528,002,816,991,416,900,238,935,041,145,
951,528,732,747,369,818,020,184,161,938,955,144,882,398,041,715,185,594,267,
606,009,974,020,073,373,352,446,860,963,883,175,035,573,959,260,595,853,555,
766,644,983,350,048,838,891,670,609,832,987,212,065,793,959,142,840,198,471,
138,719,210,893,101,220,693,836,089,439,025,461,088,962,735,776,404,468,706,
836,414,739,021,758,080,973,314,037,010,341,669,554,726,140,173,847,113,419,
528,973,709,436,181,492,118,741,769,853,701,394,081,092,103,660,327,832,890,
675,237,735,318,866,728,467,704,424,852,957,332,258,632,660,348,660,022,200,
391,900,709,704,691,342,235,151,829,558,160,121,819,456,993,535,196,378,217,
648,637,823,301,808,457,863,211,798,691,321,079,347,168,454,568,118,364,685,
982,727,993,201,222,257,927,928,383,935,822,907,341,675,688,812,573,396,281,
805,046,954,986,522,034,610,377,753,980,340,731,277,227,832,029,722,296,857,
333,730,784,139,160,542,543,939,715,442,892,750,382,030,440,755,008,138,010,
336,500,754,873,321,766,346,385,569,733,582,328,653,115,064,366,209,759,071,
456,369,888,295,767,817,863,968,204,031,213,091,711,480,099,910,667,627,066,
402,786,120,137,680,774,103,351,057,698,689,732,681,035,100,277,169,243,992,
412,074,221,707,497,013,048,590,622,243,603,562,844,098,892,135,788,231,969,
591,808,032,528,612,486,613,363,057,584,491,192,003,323,366,527,060,666,019,
942,542,050,893,969,967,206,594,959,686,600,185,208,308,442,142,302,291,925,
501,651,800,405,275,357,726,570,641,126,079,351,264,753,946,612,906,449,606,
558,776,830,397,934,310,589,763,324,071,785,188,896,998,314,206,717,325,366,
845,511,297,997,176,157,265,553,252,715,561,464,379,503,206,617,068,206,482,
888,323,768,832,919,984,768,043,479,961,200,332,681,708,189,856,374,129,459,
761,702,256,729,982,407,074,814,030,298,149,620,437,590,390,610,588,211,711,
838,250,228,832,556,873,436,372,876,292,857,248,669,618,428,467,097,799,219,
957,355,452,045,573,757,113,146,505,652,988,277,540,829,135,701,275,898,669,
037,172,538,404,189,985,375,655,041,207,846,383,097,961,297,489,269,662,999,
114,534,152,068,925,833,167,156,360,023,943,627,176,429,122,234,578,930,492,
951,928,093,652,063,150,235,187,642,836,653,270,694,825,599,018,369,240,612,
075,046,102,792,690,853,909,259,762,779,549,865,384,699,097,533,924,919,179,
502,356,050,254,393,832,012,481,209,586,153,609,563,370,497,368,678,548,285,
030,511,171,275,212,107,994,531,126,590,429,393,031,124,297,075,415,037,369,
601,732,922,863,435,473,250,095,991,434,667,579,737,027,456,127,759,723,746,
513,848,304,794,302,335,393,252,193,431,726,579,698,863,385,760,249,664,007,
632,519,000,042,636,740,286,306,611,390,690,768,645,962,615,902,875,151,487,
877,810,191,909,515,239,234,637,272,308,289,983,252,905,045,200,568,253,830,
738,361,080,887,471,259,493,303,321,969,178,772,401,339,915,681,399,830,323,
459,239,260,068,303,966,618,019,594,957,385,355,022,635,840,656,498,825,986,
918,931,321,740,187,210,321,207,208,758,086,362,662,872,670,344,459,768,763,
371,547,251,412,358,372,764,410,590,065,156,879,004,052,343,967,990,892,032,
013,654,846,163,597,485,452,246,026,472,248,532,377,462,479,725,019,481,185,
309,413,377,207,066,342,475,396,859,134,547,427,279,013,831,805,786,702,323,
217,569,268,820,392,596,971,949,202,011,422,358,606,605,754,407,330,499,416,
805,971,181,696,587,810,677,442,945,530,356,613,810,275,672,107,769,003,938,
819,357,356,787,230,735,366,494,238,972,170,599,142,962,210,957,824,264,725,
528,758,452,768,603,320,263,276,745,850,824,890,388,893,143,850,930,309,691,
908,376,839,804,255,950,552,058,002,269,157,941,201,983,983,161,070,298,880,
425,120,490,881,590,278,980,842,465,327,771,839,505,906,113,841,451,765,393,
845,576,253,409,018,829,878,465,452,412,246,412,094,933,193,602,287,390,328,
813,498,030,670,297,372,326,084,613,079,732,275,481,048,763,470,822,415,141,
777,348,071,105,851,819,756,611,835,395,199,325,387,331,596,864,950,008,328,
131,205,156,530,724,917,153,858,878,222,735,755,278,684,523,601,887,348,778,
209,718,385,250,008,550,226,111,573,295,297,036,096,465,568,430,272,884,482,
147,449,642,233,813,831,004,214,701,173,363,807,622,991,369,792,808,682,304,
693,027,655,946,094,122,910,405,332,008,670,889,475,847,859,379,100,716,108,
538,768,315,079,176,101,350,450,257,749,696,949,317,361,206,257,040,990,039,
923,733,293,705,907,519,447,243,564,745,921,967,567,906,974,629,477,686,846,
660,746,973,592,179,812,148,932,964,201,018,432,727,063,029,215,992,653,517,
570,815,353,175,530,353,641,736,787,043,432,654,047,942,812,184,203,892,552,
917,436,450,766,768,735,005,009,534,154,668,763,879,659,411,754,227,837,647,
274,622,006,900,634,369,955,453,306,261,014,318,867,070,942,485,643,341,615,
747,637,986,582,781,873,108,532,370,058,438,677,560,006,085,638,253,870,839,
474,383,979,178,905,413,075,422,218,615,891,050,995,778,741,226,202,164,067,
450,694,151,593,571,454,662,171,437,138,632,435,446,081,155,466,254,892,252,
213,575,762,590,880,029,748,966,888,725,692,735,637,095,179,032,116,463,487,
147,643,560,772,709,031,539,598,070,558,278,890,651,335,062,797,273,080,770,
428,122,586,468,213,233,888,463,310,305,758,704,736,624,343,388,554,273,514,
255,078,307,966,588,842,665,318,251,926,930,130,756,883,465,509,749,688,303,
960,187,479,350,645,141,879,433,844,897,503,866,365,246,814,157,003,658,821,
544,896,228,770,510,428,782,403,948,732,287,962,172,264,228,997,352,647,403,
508,289,911,068,903,431,574,425,290,558,939,468,955,211,557,894,553,128,451,
057,564,370,742,476,347,970,080,695,247,651,241,175,413,736,616,005,842,663,
858,599,960,244,673,105,382,265,272,139,984,764,697,348,704,804,259,915,115,
158,280,364,922,231,364,671,202,317,274,777,867,520,858,828,276,857,488,806,
702,536,237,433,601,615,802,192,884,749,452,291,787,376,875,730,926,813,810,
361,551,136,643,654,707,723,966,724,180,886,365,897,461,032,954,074,834,281,
899,371,465,666,778,371,605,252,142,960,142,723,820,342,871,900,846,468,178,
668,061,836,753,659,423,681,182,373,495,721,599,698,103,475,942,473,360,064,
922,642,079,415,282,773,210,171,280,735,207,047,863,761,987,491,387,391,070,
304,664,264,247,652,193,448,044,190,045,239,300,753,499,492,722,996,294,463,
111,612,060,601,480,508,405,573,677,115,481,086,899,243,381,783,599,679,391,
171,373,187,734,290,435,522,575,792,468,598,028,562,835,926,918,880,123,250,
034,724,330,208,964,972,069,079,148,276,629,481,421,358,694,969,451,091,130,
861,580,609,289,296,348,491,910,382,254,592,178,020,007,442,104,690,412,401,
972,891,728,974,968,654,052,573,819,211,472,883,137,354,620,750,455,487,282,
692,964,992,039,332,483,264,360,630,839,492,904,351,935,288,154,753,577,044,
715,937,881,846,294,687,131,767,369,619,848,869,838,033,559,428,087,214,478,
853,334,797,011,441,244,896,769,945,091,724,008,180,342,945,746,726,603,839,
817,919,872,127,461,623,640,479,463,609,367,113,981,466,584,156,974,686,432,
433,668,414,859,182,685,974,645,421,308,978,132,835,279,459,374,341,511,641,
164,333,196,117,226,052,216,471,198,929,832,545,842,231,600,727,525,505,075,
236,217,279,466,008,045,897,468,610,349,139,146,744,375,318,625,237,237,049,
776,006,920,818,803,569,463,705,178,389,419,560,618,500,645,808,632,926,405,
594,125,223,976,170,332,062,174,978,588,477,241,239,568,326,782,694,517,541,
073,609,251,835,668,382,611,668,526,106,534,763,666,660,611,330,601,972,210,
368,995,964,979,944,188,530,616,404,617,791,551,682,418,919,580,656,877,112,
047,975,236,028,003,695,299,065,085,286,495,498,261,126,530,041,148,529,550,
772,892,515,298,855,877,201,187,758,661,683,896,856,160,355,025,829,209,885,
639,730,306,371,974,123,597,834,712,107,309,088,279,032,556,211,572,963,630,
384,449,848,876,783,839,105,002,135,125,531,634,231,709,224,340,107,516,552,
252,510,105,601,113,908,560,227,107,408,761,808,468,304,713,520,146,635,225,
954,641,268,416,092,254,940,281,312,984,565,518,556,639,593,529,973,370,133,
129,905,525,883,177,697,976,048,508,662,860,272,929,770,864,561,085,775,003,
645,354,160,335,202,397,138,575,650,215,140,213,221,518,196,875,893,774,387,
609,290,901,976,102,844,580,108,639,622,293,767,198,884,298,751,951,734,446,
909,453,933,802,375,927,682,407,980,534,849,410,070,348,634,993,084,839,911,
031,183,367,165,402,330,143,992,091,171,331,063,531,926,484,229,470,722,831,
663,799,797,449,179,497,320,613,369,355,713,716,171,598,948,948,777,933,720,
673,158,050,272,393,684,130,957,823,841,574,523,996,534,361,664,275,949,496,
062,415,641,833,613,350,927,721,510,747,504,869,433,129,960,157,869,328,918,
289,707,396,499,577,036,680,911,364,775,941,934,384,352,167,940,711,829,939,
564,109,111,783,154,249,227,612,156,911,098,994,926,287,429,439,636,355,868,
222,925,418,795,289,450,451,184,230,450,348,801,253,629,928,671,157,845,577,
203,513,106,916,662,377,035,178,343,492,264,910,182,634,809,115,177,996,515,
348,638,920,635,966,765,792,714,510,193,798,757,253,950,193,925,604,223,017,
158,435,431,191,166,629,228,520,352,064,078,135,330,817,103,585,614,264,205,
200,243,494,628,409,112,420,487,031,392,780,416,807,053,629,653,072,420,354,
438,246,209,937,094,541,451,949,704,935,435,874,182,731,830,557,423,640,762,
744,832,493,259,364,026,821,536,976,232,633,004,750,580,183,422,067,240,784,
125,853,231,751,235,219,266,397,648,381,386,880,247,789,491,982,017,765,217,
082,265,859,055,674,440,462,385,789,976,051,534,984,048,668,423,621,758,159,
336,070,832,646,074,083,323,485,761,290,526,736,806,790,557,515,649,922,928,
647,485,168,593,520,497,278,383,255,121,783,442,987,854,894,964,255,378,195,
651,530,376,324,142,074,082,039,331,553,800,068,152,866,090,060,903,342,442,
954,290,572,184,511,298,374,100,198,819,498,616,289,567,668,295,727,985,376,
199,762,565,103,360,857,931,615,742,902,874,854,063,952,890,664,451,559,641,
490,480,036,266,482,741,530,119,440,853,992,114,703,933,728,481,835,424,727,
129,385,100,172,474,778,101,182,365,444,716,490,422,655,082,175,743,742,532,
572,272,087,178,754,474,370,617,066,855,915,318,707,987,530,927,217,593,092,
482,430,643,622,609,339,911,652,250,985,210,978,955,896,147,878,144,463,170,
124,028,716,146,916,947,889,384,513,744,411,724,864,136,309,641,355,943,324,
454,013,885,986,568,342,336,942,236,011,883,790,793,809,429,465,559,179,424,
715,963,429,673,056,211,228,584,302,780,834,071,220,725,091,249,509,748,443,
653,696,075,100,106,044,761,389,071,621,520,775,208,787,676,558,397,402,389,
531,555,420,818,865,009,734,441,712,523,009,268,440,063,431,575,657,567,046,
503,116,698,044,502,353,953,062,443,119,456,196,001,564,449,116,089,796,601,
396,303,413,473,957,183,092,986,624,087,545,471,593,133,648,159,024,063,473,
555,374,398,758,682,885,422,078,479,288,201,592,643,515,613,832,421,045,077,
437,900,805,636,624,648,377,159,043,693,777,990,990,263,742,220,358,901,905,
241,914,433,673,279,952,728,731,897,984,378,643,451,147,293,645,137,617,556,
689,817,798,331,291,334,878,854,529,725,129,806,236,484,411,069,172,948,846,
368,647,990,266,208,316,758,889,613,598,303,522,055,439,360,042,349,408,863,
924,840,448,499,734,589,323,366,946,341,017,407,069,659,214,053,623,935,821,
560,229,075,807,685,229,850,485,383,432,737,013,368,305,460,464,619,826,816,
941,592,889,087,681,475,044,242,496,266,100,063,792,022,428,447,234,529,149,
801,913,647,401,786,456,720,417,399,337,359,553,094,078,953,909,847,540,729,
116,269,819,669,127,181,222,405,804,181,400,036,323,982,458,510,542,442,076,
443,949,486,422,041,916,557,275,899,135,438,791,909,654,636,478,543,062,816,
455,139,096,018,342,431,627,431,879,409,071,255,236,943,558,953,311,644,986,
816,810,677,826,308,983,704,821,466,983,343,695,962,553,793,979,683,652,941,
763,951,059,402,940,429,683,930,898,021,971,626,764,171,812,577,578,603,501,
198,089,377,638,429,096,984,449,503,735,608,433,403,821,508,508,581,367,729,
476,304,022,577,289,722,366,641,731,265,616,988,613,309,002,450,661,970,477,
033,249,197,504,035,607,256,773,665,821,685,074,198,265,691,677,590,797,334,
366,067,123,529,621,163,395,884,045,365,471,830,734,127,984,605,950,284,916,
101,533,582,846,619,749,757,680,750,263,651,222,499,531,431,828,207,580,808,
359,614,381,134,097,035,783,595,666,402,223,361,771,751,608,336,926,728,194,
722,536,288,307,555,258,874,047,633,169,909,655,398,339,993,543,041,906,443,
232,193,064,396,365,540,167,119,047,357,073,775,146,989,489,179,416,804,195,
158,427,862,795,679,665,028,384,457,103,996,256,984,118,015,403,054,918,057,
509,928,722,298,909,930,711,256,384,030,852,914,040,957,260,115,467,206,135,
098,213,607,176,727,731,652,971,503,786,445,732,800,999,526,409,140,865,045,
503,478,403,333,073,430,421,974,651,052,982,685,408,157,847,850,662,902,735,
420,074,656,523,461,971,205,841,336,495,412,308,032,367,935,547,995,254,330,
803,276,114,063,458,517,770,616,163,593,080,183,989,528,752,661,405,407,262,
628,500,951,915,834,613,102,890,315,224,698,780,133,476,168,835,432,481,329,
772,289,088,996,210,022,916,187,875,466,267,618,460,101,340,086,661,508,086,
147,065,720,073,546,648,421,448,099,860,090,158,948,671,361,528,885,259,248,
829,431,172,113,369,477,311,800,677,387,073,695,613,901,876,196,815,244,369,
791,898,157,156,782,785,240,406,214,090,968,306,857,077,458,594,599,155,602,
524,746,260,654,426,619,407,514,893,446,813,936,514,845,233,370,309,862,903,
422,203,036,363,587,915,678,261,216,263,895,012,408,150,710,670,784,242,852,
763,826,422,752,422,641,351,749,238,507,401,022,700,033,493,164,247,464,557,
242,232,962,305,324,135,059,040,333,285,442,546,084,588,801,089,746,636,826,
405,415,920,329,045,729,223,158,361,553,052,916,542,611,411,784,565,186,683,
486,106,883,179,710,716,525,651,595,739,491,058,837,139,858,241,775,403,856,
786,697,549,567,402,361,859,447,320,648,303,906,694,334,905,625,390,949,345,
358,339,042,831,360,380,166,277,367,864,188,831,757,663,895,662,542,809,620,
054,625,838,059,916,254,475,894,497,639,143,361,357,701,099,784,725,491,567,
438,833,933,669,357,685,661,137,558,953,640,443,776,359,506,859,121,873,496,
512,358,088,432,722,590,300,614,494,698,116,612,373,113,902,600,894,169,027,
846,946,517,865,065,426,625,859,695,363,361,507,115,893,747,327,004,166,556,
899,250,453,403,788,958,862,203,304,375,900,186,162,417,792,876,146,125,415,
875,219,005,404,464,912,141,291,939,933,126,129,653,978,714,680,191,611,905,
177,700,148,548,277,801,761,869,719,940,896,311,711,132,114,832,473,937,534,
131,852,434,562,626,829,508,354,713,583,732,051,066,329,260,998,047,815,917,
369,481,402,277,369,083,895,224,569,636,958,819,480,631,948,178,076,480,814,
642,086,588,665,934,514,740,180,088,235,008,186,867,990,966,355,535,998,144,
438,577,310,480,264,942,835,108,575,567,860,198,958,635,799,517,881,095,490,
399,516,124,327,762,030,876,962,119,906,903,677,146,800,530,437,931,145,927,
043,401,716,793,849,242,343,297,539,473,109,459,958,668,993,586,356,406,287,
856,555,705,144,744,171,562,436,504,289,495,187,110,065,251,300,421,881,196,
230,334,829,999,853,215,395,844,585,130,896,484,549,301,489,545,366,126,298,
579,888,018,122,012,712,074,552,047,793,150,495,199,581,470,271,886,152,288,
674,814,441,182,815,346,096,032,588,538,604,724,178,533,239,612,509,425,970,
356,450,029,412,166,528,465,928,664,813,845,175,586,554,334,683,702,777,792,
928,671,371,486,930,074,050,270,691,733,464,710,972,850,216,283,493,272,782,
799,750,394,536,896,524,142,560,446,341,019,171,929,904,118,847,045,879,852,
821,973,434,550,816,525,914,484,685,880,024,557,650,004,500,324,887,993,835,
483,455,218,158,196,748,514,663,089,886,657,149,566,515,672,582,746,434,324,
020,841,045,907,481,998,554,170,908,708,996,368,575,313,559,834,058,033,703,
074,827,575,866,934,941,391,085,272,783,624,695,777,231,920,082,998,163,961,
447,605,031,896,734,783,599,841,971,357,220,835,379,262,375,908,552,839,506,
169,006,429,924,641,059,434,291,675,127,006,840,757,229,157,995,304,459,914,
793,780,828,461,400,823,204,328,966,068,762,465,366,093,366,933,687,336,323,
361,449,882,251,300,290,344,333,640,119,497,724,871,598,970,633,040,822,329,
075,445,301,085,811,204,488,236,257,988,090,625,218,005,098,789,562,124,004,
311,541,987,889,543,258,560,791,795,024,570,444,820,199,962,343,986,556,373,
383,927,649,838,278,726,768,001,829,466,370,156,745,557,267,106,941,753,321,
976,662,906,827,699,147,323,965,674,046,616,153,017,470,407,842,997,256,588,
753,209,493,086,306,210,317,970,546,722,483,828,220,504,284,982,892,041,650,
659,924,212,839,574,035,186,473,008,952,813,716,737,011,702,327,728,857,973,
806,157,229,619,671,624,787,178,178,776,936,405,811,454,261,682,536,515,771,
661,272,087,376,708,555,356,505,526,216,982,165,826,466,160,444,650,484,253,
277,025,306,713,308,356,003,193,558,333,419,540,617,819,989,119,765,595,924,
140,146,530,867,913,245,042,311,950,263,765,304,874,050,869,040,316,257,914,
866,519,184,327,808,538,664,791,153,841,901,245,779,670,789,867,272,217,138,
219,844,529,546,479,263,518,680,159,472,057,620,213,445,506,662,434,539,744,
966,477,628,862,082,658,416,749,142,886,976,720,784,120,950,377,691,868,498,
726,996,201,523,095,428,747,232,618,766,555,708,974,394,935,877,056,652,862,
131,098,658,895,951,455,838,928,893,001,961,758,323,458,746,803,514,994,018,
864,408,762,099,055,735,357,830,906,218,903,739,916,149,173,528,012,376,722,
700,897,516,745,302,461,573,723,048,562,986,900,791,224,451,898,419,257,371,
781,973,222,835,963,922,733,929,751,359,361,908,841,910,086,640,842,204,004,
597,773,008,738,637,805,114,505,110,907,207,250,645,563,654,634,122,918,135,
113,488,831,209,845,778,855,547,805,532,845,965,066,709,449,293,598,656,953,
948,643,954,450,303,427,359,883,390,293,848,890,153,032,359,348,377,161,706,
073,829,420,281,839,658,148,695,659,113,523,584,957,086,997,340,293,701,126,
217,399,200,890,384,442,210,853,524,082,573,764,717,014,593,662,808,165,738,
972,760,534,201,127,303,531,861,307,524,978,743,767,862,199,228,284,319,566,
591,774,920,734,055,244,851,545,793,881,925,529,524,962,658,503,462,596,147,
704,954,649,361,323,676,501,934,315,507,233,456,761,715,776,562,253,456,378,
316,260,015,852,869,791,731,342,079,431,573,574,639,844,358,507,316,744,764,
985,680,022,095,842,443,363,004,287,391,426,821,798,390,876,732,361,537,467,
430,089,780,376,339,081,641,783,755,560,890,195,769,680,981,574,408,048,892,
415,539,019,147,143,435,991,499,858,888,277,986,141,655,247,582,148,095,281,
065,874,314,177,570,330,749,352,446,744,345,299,352,548,785,099,529,750,753,
269,919,635,372,837,983,633,409,781,136,217,419,989,776,166,319,995,966,338,
530,223,112,197,465,031,909,762,644,623,527,177,618,715,094,259,575,368,334,
470,704,618,139,912,722,984,447,733,999,512,202,873,982,495,756,856,814,293,
652,096,411,121,001,650,047,048,742,097,626,000,479,507,198,538,055,741,316,
608,666,089,621,898,240,878,784,490,265,423,245,896,612,565,915,736,174,622,
264,014,730,995,943,215,640,367,815,707,624,652,777,543,317,714,908,722,321,
746,052,842,829,333,733,732,696,788,732,071,057,651,361,558,510,510,495,753,
813,283,753,592,203,078,981,558,234,151,354,417,131,568,894,690,394,610,627,
504,559,319,582,222,889,506,673,561,549,626,276,362,661,142,578,492,853,262,
748,110,099,166,536,744,899,148,011,477,074,702,692,464,492,321,402,351,661,
845,432,410,550,953,339,284,715,367,891,921,254,138,284,225,669,667,445,671,
825,848,919,089,472,869,625,349,166,236,090,178,342,486,305,204,773,205,050,
083,443,306,233,167,002,602,619,310,361,817,129,199,183,595,162,929,522,717,
982,154,877,493,154,443,647,164,115,584,481,545,337,055,822,383,217,529,450,
226,098,300,688,407,814,342,092,001,470,096,878,604,941,416,514,782,146,818,
219,963,595,305,323,084,906,948,385,030,783,188,565,909,590,591,954,355,703,
950,555,147,704,204,507,823,604,988,627,419,879,762,017,304,986,724,125,710,
470,005,564,232,320,711,841,951,493,232,224,636,396,265,628,399,715,872,282,
239,596,863,479,309,418,350,430,513,400,399,987,953,935,896,157,234,494,869,
344,554,523,320,711,171,923,391,765,141,427,130,392,690,357,632,507,934,661,
580,354,146,510,418,598,312,636,289,953,623,569,429,218,053,788,624,420,619,
469,546,010,891,598,771,070,686,770,779,573,363,627,381,672,899,823,667,912,
429,329,278,776,948,933,969,111,408,858,073,501,026,861,842,823,056,375,403,
195,855,261,607,892,726,454,622,185,468,259,231,704,964,118,695,404,490,081,
229,200,486,114,925,412,378,698,980,701,954,995,402,247,325,945,403,136,626,
731,361,477,048,038,961,122,294,637,330,235,688,331,598,514,085,081,418,456,
840,704,484,650,955,983,372,094,432,755,324,653,648,776,623,535,523,507,481,
927,632,111,396,104,056,280,457,271,549,579,647,610,436,776,175,562,201,853,
190,247,279,308,138,830,038,930,292,915,853,526,240,785,880,017,991,226,707,
574,403,588,157,376,766,496,904,192,050,639,922,152,531,841,675,678,270,730,
254,982,432,755,158,213,492,659,852,164,051,616,546,511,673,147,864,724,653,
366,432,695,639,418,627,416,459,481,371,569,585,354,149,193,768,602,499,803,
277,916,764,269,209,630,458,536,537,176,326,161,147,142,168,059,519,750,991,
612,844,573,884,007,555,475,679,640,330,384,315,797,924,008,291,125,444,656,
878,762,088,592,859,462,502,233,672,425,550,215,890,303,730,891,779,203,534,
741,035,206,785,464,107,585,501,114,419,972,806,752,923,689,464,388,277,656,
154,188,696,274,083,853,331,202,446,280,675,575,167,091,997,043,751,687,603,
253,571,002,010,877,469,186,474,435,013,263,851,407,497,014,474,369,985,992,
292,141,207,517,331,484,142,209,855,546,379,209,317,925,535,236,758,057,760,
419,148,035,978,317,488,397,409,732,874,027,282,685,658,343,559,051,133,076,
018,249,984,006,866,073,046,924,722,958,528,611,430,439,373,704,895,019,283,
281,799,513,291,897,385,080,080,319,390,139,683,001,041,760,978,259,117,241,
692,570,508,167,229,286,994,192,034,722,837,598,118,434,077,510,981,144,879,
767,102,112,572,771,299,249,444,137,056,598,298,874,157,854,008,726,967,511,
890,590,910,101,597,921,460,125,392,213,727,338,970,438,260,455,581,522,739,
272,817,043,541,158,836,704,356,734,141,162,410,881,413,254,643,388,572,832,
260,369,177,187,232,380,850,162,543,224,762,186,482,139,430,149,232,366,028,
850,983,379,616,785,319,313,688,121,046,206,490,751,869,157,252,561,714,175,
230,952,772,331,200,171,572,239,234,531,074,911,199,224,657,092,602,375,835,
803,852,018,378,657,300,515,304,060,117,992,505,050,465,596,731,903,063,644,
357,818,364,233,349,580,500,189,661,678,589,489,481,357,607,611,327,846,353,
658,244,580,612,361,127,699,704,832,070,081,238,072,864,361,175,681,158,732,
185,309,407,920,118,474,542,256,546,014,971,558,205,914,170,887,457,571,054,
653,667,804,572,472,476,215,288,574,127,124,769,576,599,546,724,293,039,768,
102,872,371,906,503,117,847,459,733,134,938,402,556,648,278,495,623,982,635,
852,024,253,850,033,329,465,827,163,345,690,775,322,610,382,021,786,074,950,
304,279,325,629,392,059,678,537,378,489,935,403,570,868,842,133,695,992,613,
473,610,378,432,546,685,311,317,966,807,710,067,348,807,006,500,049,445,154,
355,458,937,995,233,053,824,060,518,120,828,858,062,661,645,251,676,289,510,
830,953,769,797,712,151,031,961,581,740,502,921,013,630,235,790,012,369,103,
080,903,826,923,226,704,053,177,410,265,126,979,454,241,687,649,333,593,625,
624,966,253,028,085,442,395,671,007,386,553,114,044,263,473,398,502,907,137,
539,670,358,085,169,821,307,626,416,622,903,581,323,358,708,174,706,992,711,
344,275,982,135,591,935,191,639,845,838,588,638,559,179,383,650,158,955,525,
036,741,344,634,110,243,007,198,664,745,606,625,962,680,581,574,710,675,259,
029,311,090,397,314,096,297,492,124,288,019,809,719,288,181,358,288,231,485,
292,209,828,018,506,927,688,552,981,235,003,597,992,708,702,038,226,485,289,
004,931,202,239,308,642,703,116,457,510,013,301,287,262,843,612,128,618,261,
549,352,187,451,142,463,507,338,386,280,319,250,200,653,274,254,255,361,865,
528,289,635,134,407,751,494,130,589,718,068,926,497,614,779,558,347,447,748,
495,295,258,566,878,870,983,637,197,193,875,463,010,089,332,140,868,846,495,
967,917,864,017,714,606,465,555,976,491,928,106,173,835,472,295,911,797,069,
436,598,415,611,924,202,093,322,419,575,492,685,211,544,933,728,258,939,917,
322,856,483,319,035,071,391,864,478,843,326,294,174,479,613,116,959,370,609,
035,163,558,028,615,027,269,985,914,722,986,312,570,492,970,236,333,689,847,
819,979,522,222,240,917,071,467,157,416,723,246,708,340,388,412,349,727,631,
313,474,821,515,917,528,789,973,842,695,564,796,575,047,489,269,383,158,281,
860,514,379,798,359,090,531,699,315,039,119,017,757,762,182,873,085,837,886,
692,405,015,246,639,545,725,525,275,759,851,175,869,862,195,702,261,293,411,
508,554,390,300,131,797,985,128,995,353,180,548,339,272,975,351,796,745,888,
804,421,033,903,473,289,112,680,673,034,839,179,373,248,352,884,581,991,502,
379,116,184,203,173,517,929,915,556,683,711,051,356,481,488,974,124,894,434,
281,989,670,632,634,458,947,594,040,853,466,237,186,151,522,739,746,646,939,
781,190,910,945,394,799,736,694,025,608,165,357,477,283,579,232,743,624,916,
178,245,847,233,959,619,638,253,134,393,215,915,414,809,756,365,104,426,617,
356,985,522,789,743,043,711,665,139,130,684,736,944,875,078,716,069,668,074,
064,407,257,375,624,674,925,322,732,808,043,629,062,820,644,155,638,000,910,
715,759,610,190,362,101,189,725,427,923,101,973,747,858,372,390,820,143,710,
523,275,543,252,360,928,143,222,448,157,124,660,961,794,365,711,457,876,017,
874,915,873,977,997,663,736,612,615,108,320,674,953,956,695,415,616,408,402,
419,018,506,378,402,454,366,082,225,023,323,595,582,851,428,132,694,502,569,
334,039,365,062,339,859,158,251,608,581,824,728,355,612,026,872,964,688,306,
709,512,713,334,562,359,394,383,368,396,419,326,494,536,007,591,110,598,029,
579,935,290,854,846,959,764,415,038,335,547,489,549,460,532,257,906,424,412,
396,811,378,150,070,462,791,877,131,380,427,815,334,628,801,595,047,495,580,
822,716,017,468,218,317,045,438,300,793,266,282,962,228,349,787,449,303,391,
032,885,433,467,841,013,936,030,917,769,682,387,334,611,111,265,188,692,611,
985,026,893,294,901,667,937,771,883,400,633,432,508,640,211,442,986,923,436,
017,223,613,543,284,378,323,551,896,054,393,023,092,381,794,324,958,469,532,
251,542,852,856,088,430,782,423,689,221,404,212,699,500,789,987,652,475,913,
468,926,110,031,537,402,358,641,413,240,285,717,671,605,368,036,207,551,868,
958,943,726,239,674,855,771,408,514,912,315,493,713,020,466,171,876,810,569,
912,485,476,286,168,328,152,970,081,562,937,816,970,324,842,722,921,228,465,
587,089,861,230,607,783,813,718,350,723,122,758,658,324,544,729,496,460,465,
959,323,646,048,279,083,604,628,265,936,049,460,575,364,748,921,967,086,023,
668,222,515,602,229,651,085,283,897,049,139,804,276,498,720,991,234,878,279,
589,827,099,922,520,052,675,118,044,182,215,769,329,013,287,350,709,476,771,
317,240,531,337,075,641,664,159,651,520,205,086,900,907,890,158,923,225,813,
385,851,397,864,441,311,254,792,829,299,933,332,685,495,259,230,672,965,421,
863,940,644,255,211,868,282,635,756,860,160,783,488,209,449,751,560,833,924,
336,007,944,468,377,190,012,481,817,983,778,776,968,861,701,974,969,640,718,
699,613,340,597,141,772,092,821,419,728,222,031,764,326,372,115,783,968,889,
932,836,322,564,951,108,570,581,927,336,243,224,922,939,165,866,983,257,714,
222,701,644,832,902,593,969,686,902,010,832,322,967,832,582,878,855,745,837,
952,033,756,565,770,052,962,519,867,463,958,459,984,788,399,151,956,855,700,
442,734,423,040,743,017,185,014,152,332,580,263,537,364,729,669,910,101,994,
041,218,094,556,752,752,831,469,715,481,105,115,411,042,747,806,643,287,461,
911,234,849,565,552,997,162,533,161,375,479,262,529,320,474,240,673,472,106,
799,583,312,814,055,369,422,531,597,182,578,914,783,498,421,770,682,796,790,
636,686,915,378,734,281,883,779,655,657,248,363,153,045,902,500,164,298,622,
769,643,715,131,480,907,020,356,634,497,010,588,921,945,721,097,303,614,758,
286,376,844,951,891,574,068,000,929,244,538,645,752,032,134,835,409,669,865,
871,501,365,399,681,582,255,444,050,248,316,403,923,679,630,683,014,413,573,
644,552,847,315,507,968,871,854,012,880,297,109,904,902,279,598,124,300,247,
611,208,943,113,051,505,561,449,094,875,900,617,301,419,074,382,001,421,323,
471,422,183,804,604,769,489,596,405,339,353,776,260,630,079,643,715,765,350,
888,823,569,326,962,687,207,565,347,175,000,264,519,987,806,773,741,426,582,
381,160,343,892,398,839,063,054,354,253,887,609,186,186,953,816,897,046,992,
932,507,084,260,575,093,809,055,973,137,378,680,245,670,239,475,800,102,473,
779,935,537,577,875,707,754,393,523,535,514,674,589,405,221,808,378,384,388,
477,403,161,147,028,128,866,975,658,442,572,447,388,746,733,829,262,714,154,
119,131,801,136,618,683,595,102,007,059,516,878,227,266,608,222,964,249,969,
215,182,975,061,783,124,715,682,366,407,749,955,629,255,637,845,675,551,881,
243,107,436,130,728,370,097,419,479,671,187,755,626,733,542,948,721,487,668,
951,502,840,635,102,043,956,944,027,075,787,326,803,895,358,947,618,707,350,
729,455,597,213,279,607,170,760,713,247,057,186,475,185,165,112,798,204,427,
131,606,662,794,084,691,293,042,676,100,320,189,025,508,843,749,150,870,457,
049,871,827,013,226,260,264,826,295,404,316,335,199,960,816,317,652,601,827,
901,933,241,403,567,995,321,717,629,304,401,495,264,600,965,312,732,704,181,
548,803,059,598,741,196,321,099,701,836,566,512,161,461,151,154,380,931,976,
571,038,743,381,305,835,476,190,088,818,471,372,281,837,812,936,254,719,498,
980,047,573,748,300,589,647,618,591,505,246,645,885,530,955,206,335,681,794,
015,196,018,229,396,479,399,365,476,630,977,445,299,875,151,083,425,495,838,
261,382,351,876,177,187,937,428,397,842,464,943,642,520,452,325,385,658,336,
003,547,682,580,907,347,961,060,099,025,079,727,157,208,069,902,657,716,737,
015,805,635,277,940,237,605,423,555,821,381,436,261,877,367,410,823,676,877,
307,153,851,527,795,853,061,262,054,574,666,976,237,752,084,034,119,434,660,
313,298,441,687,571,889,025,190,001,360,831,554,158,776,045,745,669,496,311,
557,023,076,460,696,050,150,212,935,868,881,950,145,488,691,257,224,210,136,
619,696,956,176,956,226,081,154,264,945,166,320,432,174,455,632,501,742,542,
691,963,186,909,032,490,020,703,682,929,144,693,093,838,916,626,720,843,514,
311,741,539,789,258,276,039,436,571,487,479,791,732,180,705,893,012,170,409,
264,703,072,083,800,389,383,779,782,499,982,057,580,109,060,758,844,811,152,
370,318,724,089,384,345,586,031,584,313,214,814,844,327,242,439,171,023,775,
200,669,954,495,650,800,562,623,733,603,052,965,188,015,391,657,677,362,993,
584,198,108,185,340,222,734,398,044,072,898,124,489,504,560,914,142,885,926,
142,531,162,865,202,608,649,162,037,932,951,917,060,504,986,517,273,804,083,
926,009,930,521,646,031,310,022,450,279,044,748,730,708,621,659,338,949,124,
902,220,576,872,275,847,909,927,903,279,860,670,724,098,381,031,583,009,301,
341,794,066,483,595,341,098,705,057,719,608,721,062,679,451,417,528,677,079,
148,851,924,746,303,815,613,045,342,864,911,379,877,259,677,882,249,693,626,
617,739,091,368,730,352,042,103,818,881,345,791,638,846,059,552,699,585,427,
326,010,875,808,787,392,119,959,461,360,706,283,549,549,058,844,031,276,938,
098,682,250,474,851,323,807,100,284,042,830,276,202,147,850,431,035,080,781,
896,094,369,316,225,595,703,223,621,413,625,673,407,707,605,326,245,655,496,
041,774,501,537,898,839,581,837,402,878,175,428,820,582,790,567,626,055,901,
244,860,951,515,517,078,947,148,749,314,718,812,545,798,804,046,213,334,145,
653,625,824,317,766,941,906,911,988,752,956,210,305,158,964,378,930,896,464,
286,710,343,670,938,813,979,762,659,505,205,194,116,195,088,938,907,426,853,
248,340,167,626,636,839,086,443,240,262,877,392,397,805,082,443,902,003,369,
676,643,738,380,304,536,632,863,324,897,754,081,705,960,449,464,401,584,332,
703,542,032,855,896,695,328,473,122,818,127,552,198,790,429,553,640,969,494,
833,242,231,347,670,072,466,002,162,037,740,020,143,111,484,537,756,883,462,
793,966,234,092,403,574,366,186,541,619,762,638,878,384,198,819,747,151,786,
995,377,627,703,084,758,431,761,519,994,341,579,022,943,466,295,149,511,626,
822,114,689,658,200,193,250,527,080,432,396,417,388,165,537,304,641,310,184,
650,590,982,630,269,688,755,732,377,297,799,207,957,417,918,476,617,423,223,
471,517,533,356,701,820,155,590,308,670,519,348,116,075,209,298,531,867,168,
467,233,058,619,811,269,914,912,039,031,405,123,343,654,602,150,656,885,919,
457,222,051,560,637,077,673,752,638,891,118,082,872,153,885,127,359,515,141,
404,578,990,076,429,909,400,915,404,609,566,650,264,166,564,649,758,926,933,
574,992,828,741,918,980,387,240,535,572,784,563,983,948,223,024,068,219,876,
673,269,436,517,783,113,292,712,708,355,246,678,176,488,299,470,473,218,342,
034,207,083,449,900,102,232,486,677,800,742,018,760,636,605,857,966,702,305,
328,527,760,735,764,352,193,336,594,614,355,161,489,475,922,711,278,867,875,
839,662,118,601,567,881,486,033,568,684,339,572,363,606,887,836,666,111,725,
403,684,973,651,820,896,502,309,930,096,646,044,611,292,550,821,931,821,478,
248,272,464,948,507,919,710,018,849,076,986,912,027,315,216,173,641,856,169,
054,317,627,130,811,718,313,693,951,154,577,533,677,428,669,749,567,804,082,
580,723,434,609,088,470,572,949,039,421,522,035,993,800,396,579,278,061,158,
963,331,384,582,180,655,592,337,918,164,497,681,973,450,084,386,939,728,844,
915,813,308,535,136,422,709,205,277,794,515,506,346,958,611,692,775,002,711,
575,727,040,296,093,249,679,081,556,753,688,137,424,593,280,174,129,696,610,
671,027,216,905,306,079,688,121,113,995,505,606,857,637,604,784,297,572,274,
065,798,474,748,850,063,803,192,855,464,906,972,225,874,176,544,719,520,683,
401,199,681,226,090,497,453,286,051,925,002,781,777,774,532,715,805,811,963,
132,807,208,689,606,357,674,518,495,498,990,500,012,897,197,217,761,128,225,
110,850,644,955,574,554,874,330,541,347,780,558,956,257,713,712,666,815,072,
336,996,550,382,468,720,093,458,568,650,825,127,051,835,686,065,607,403,939,
153,525,294,348,549,609,975,074,283,667,213,656,672,326,639,857,538,734,410,
489,460,359,671,138,762,936,054,931,072,063,685,576,078,569,080,651,911,803,
698,224,306,821,035,194,944,186,440,101,578,915,448,776,283,990,504,623,499,
812,697,531,213,189,722,269,265,084,542,093,800,231,151,150,093,341,969,693,
388,775,440,395,123,682,031,354,512,957,261,277,152,168,915,781,713,385,653,
603,920,096,369,153,366,415,004,606,750,700,528,023,164,588,668,959,891,710,
097,322,833,222,851,938,814,108,612,818,410,228,699,225,950,996,662,697,230,
538,559,740,362,374,658,741,832,066,723,324,426,208,435,284,117,403,790,226,
173,649,051,066,538,180,702,033,169,856,965,718,649,610,869,687,362,417,655,
002,962,915,099,792,985,490,063,348,713,999,910,697,246,987,096,538,667,258,
005,659,848,127,717,500,448,890,444,256,776,577,545,953,561,542,501,909,078,
862,768,871,416,466,609,409,249,488,050,457,210,504,170,959,376,536,812,617,
141,576,967,095,068,431,835,787,010,035,497,877,596,188,273,374,412,654,700,
173,363,106,914,160,151,765,589,298,472,257,400,622,545,360,542,174,444,955,
163,810,657,940,070,003,927,958,509,121,116,412,223,507,039,226,289,704,426,
715,236,079,680,240,766,827,612,141,020,215,947,269,857,263,313,524,959,176,
494,403,501,701,636,988,629,154,858,852,183,382,459,394,794,410,599,649,447,
928,879,761,378,759,924,386,415,794,972,200,413,168,641,872,099,738,823,042,
577,518,327,078,062,349,579,940,741,611,270,736,595,864,433,651,757,343,755,
064,904,210,273,002,378,999,075,366,754,226,562,808,623,900,595,814,349,186,
469,615,352,077,287,372,605,583,386,625,290,489,779,400,803,548,073,650,986,
235,637,491,687,607,809,075,251,016,851,949,050,312,057,734,781,759,875,889,
387,776,475,056,383,759,950,278,219,346,819,788,971,252,221,547,659,223,955,
610,575,890,763,750,435,985,887,884,129,460,780,223,596,959,104,447,141,505,
643,690,804,947,848,784,540,090,044,443,721,089,640,415,478,052,371,074,505,
133,904,696,012,574,945,661,868,179,995,945,512,860,485,974,857,752,792,138,
453,778,663,844,060,079,370,774,291,311,369,753,684,374,625,084,960,649,203,
441,137,318,575,716,463,834,889,765,627,935,653,348,398,557,171,443,982,315,
961,648,978,349,762,578,746,833,144,733,164,690,548,772,530,135,565,960,017,
014,142,369,730,254,479,217,732,250,705,342,255,211,769,133,610,137,480,827,
526,994,115,780,261,541,484,409,435,922,348,897,013,479,345,625,745,541,849,
216,393,948,050,309,976,046,910,417,492,908,974,341,777,820,095,221,180,648,
405,021,882,488,031,902,339,032,934,182,538,849,026,668,956,121,186,909,956,
960,539,718,308,624,907,393,981,716,991,227,156,696,435,766,056,893,066,486,
659,124,722,268,536,602,397,757,399,052,776,249,499,376,559,053,787,556,129,
812,309,788,056,932,825,197,831,126,935,109,874,392,035,581,821,302,447,891,
947,839,362,247,150,723,644,057,547,347,434,767,275,929,933,909,981,857,675,
869,711,374,232,960,736,069,743,105,627,557,789,771,111,447,674,202,693,101,
304,434,182,058,749,332,912,014,120,748,106,308,504,261,762,272,616,368,272,
148,353,556,741,642,872,955,301,343,664,537,247,062,301,132,584,670,211,928,
568,550,700,701,323,415,538,511,178,865,863,003,157,088,490,303,614,362,238,
405,883,897,029,499,111,363,326,199,214,668,593,186,948,851,083,632,262,569,
640,592,036,919,260,666,449,223,931,453,716,336,302,583,616,580,031,290,183,
152,707,515,124,347,110,615,925,830,902,701,507,221,090,428,693,226,833,800,
505,904,693,747,118,909,756,813,523,923,245,580,916,586,653,846,753,188,847,
198,569,284,748,933,631,704,443,421,566,368,870,457,785,180,557,003,025,672,
135,885,866,076,397,887,682,995,855,407,733,947,499,762,680,522,155,389,506,
719,601,054,326,096,939,247,557,354,697,355,118,508,317,944,971,166,617,765,
372,265,315,596,046,854,041,105,012,747,850,458,717,708,503,703,504,463,875,
948,409,608,740,000,880,181,306,848,452,438,302,336,986,870,341,072,773,474,
466,163,334,549,682,865,168,612,336,360,662,770,578,813,346,070,053,085,399,
770,172,542,916,323,773,393,574,207,215,752,839,329,015,118,237,157,931,743,
096,925,813,347,301,428,895,710,802,034,714,496,141,158,279,283,338,850,569,
091,293,442,726,452,990,953,770,438,604,310,722,427,978,810,463,726,568,996,
013,548,348,757,872,353,809,511,194,169,489,671,604,663,749,669,290,261,938,
977,345,471,021,318,732,407,233,887,852,819,696,974,080,034,945,407,173,977,
608,476,536,789,723,039,436,455,075,697,220,362,340,462,361,278,207,087,314,
279,891,988,690,657,283,016,760,324,541,362,287,965,843,703,206,399,049,138,
147,177,791,712,350,407,859,823,013,339,424,645,341,673,548,458,501,805,756,
748,262,434,370,151,554,432,870,043,026,842,437,664,109,180,575,540,646,780,
570,633,111,417,500,146,596,058,527,134,770,555,517,677,621,879,836,256,675,
659,726,799,544,708,344,262,070,199,471,793,032,238,457,987,471,383,574,339,
137,156,659,729,721,432,238,051,005,148,628,708,721,673,699,527,350,824,324,
201,983,999,683,506,853,474,970,566,838,994,453,316,082,535,524,189,661,422,
927,552,672,091,390,790,835,575,975,310,264,555,227,969,178,097,249,831,189,
175,919,513,741,006,222,630,244,272,434,432,308,471,246,594,543,969,659,382,
895,878,070,691,031,144,497,281,614,037,612,409,113,653,296,865,266,502,845,
225,035,684,285,422,759,460,326,404,208,029,314,305,488,981,926,173,812,459,
271,443,023,650,959,016,760,561,959,123,817,024,599,983,201,368,191,959,322,
687,664,991,870,492,081,778,507,699,711,985,012,114,927,386,277,016,647,180,
879,891,698,960,570,753,045,173,585,454,593,941,256,764,203,757,435,033,151,
677,976,602,481,843,419,166,526,052,760,912,983,235,143,793,011,290,564,936,
894,289,557,672,537,544,298,298,019,269,367,929,481,813,244,209,446,316,303,
724,874,801,118,624,390,502,808,927,147,152,965,838,538,176,197,729,179,171,
798,047,519,391,293,809,921,086,984,117,236,539,780,230,619,163,915,912,625,
200,679,953,966,752,965,759,142,040,739,848,345,336,009,060,867,394,380,217,
154,284,093,333,822,662,931,902,562,536,011,889,881,031,365,848,804,887,219,
109,253,799,273,844,127,110,106,622,847,840,700,464,217,293,908,170,510,234,
844,498,188,517,305,824,293,910,514,779,219,411,911,208,670,229,051,306,660,
895,428,188,057,964,663,828,317,102,342,331,733,234,093,344,790,341,001,354,
733,938,264,210,193,740,764,917,610,377,890,748,074,301,664,690,379,385,833,
104,603,608,764,703,216,518,530,319,637,611,690,473,951,665,701,731,858,653,
915,002,903,673,781,003,129,378,745,840,958,895,610,260,805,586,534,708,672,
539,680,196,273,120,155,364,311,524,347,669,143,890,110,816,931,525,352,635,
976,823,238,350,366,819,602,931,880,195,132,084,588,163,556,788,589,316,060,
005,034,834,761,724,147,196,500,218,594,253,393,043,492,201,814,506,205,479,
883,977,916,650,133,611,734,817,248,937,024,786,695,403,279,325,208,546,961,
131,524,871,991,230,127,821,710,653,752,490,944,514,998,166,946,951,783,378,
165,231,823,993,440,252,273,637,982,176,055,699,072,802,476,689,442,303,386,
467,939,389,777,682,223,978,067,133,150,648,505,451,799,823,219,635,386,625,
496,131,466,931,058,116,330,385,877,208,103,266,375,395,577,708,532,278,603,
446,701,504,896,255,296,254,977,439,764,370,307,226,558,287,624,700,319,319,
320,730,195,656,083,618,217,639,675,644,867,054,202,507,735,596,361,178,479,
808,119,808,343,563,171,236,116,995,997,075,161,619,111,059,292,247,270,892,
246,235,947,564,831,422,255,699,863,824,282,308,432,268,652,399,678,135,995,
732,154,952,141,447,987,615,099,256,627,000,317,739,986,402,526,391,961,749,
934,590,396,945,761,869,149,488,144,296,133,902,430,813,045,485,240,111,911,
584,050,289,696,690,440,879,031,754,164,590,326,610,827,992,039,607,603,242,
539,159,390,218,898,906,299,523,213,835,342,213,511,499,875,255,424,045,739,
783,551,594,823,467,377,698,501,029,236,422,729,094,731,651,746,755,030,004,
930,269,875,092,274,244,353,911,874,501,902,254,837,549,302,768,465,851,657,
393,371,527,274,749,240,158,171,468,232,191,214,852,972,390,207,186,763,028,
994,679,449,386,184,815,945,421,930,090,228,782,999,993,735,082,858,266,412,
682,935,705,817,070,550,182,956,328,505,442,910,377,703,269,292,262,614,299,
269,955,782,624,338,645,842,599,080,053,060,743,876,303,607,650,255,355,442,
346,401,560,467,055,084,973,612,640,622,011,775,494,863,781,842,105,528,387,
318,669,766,547,936,597,778,263,254,116,785,659,660,640,260,216,003,503,169,
251,726,371,051,998,701,813,755,346,887,004,776,342,117,000,975,057,217,109,
499,204,637,773,790,093,247,691,130,354,507,533,252,783,070,716,169,350,905,
460,408,915,514,944,827,867,679,313,232,746,701,569,111,345,131,534,110,378,
708,217,175,634,316,328,699,521,019,898,329,574,818,460,832,643,391,390,298,
630,116,544,588,200,214,421,133,495,169,214,882,840,864,031,983,167,583,427,
035,413,471,210,332,799,426,246,399,427,102,875,772,762,854,360,218,481,442,
632,949,047,486,099,263,209,276,832,054,738,714,218,081,738,540,268,025,019,
707,643,393,152,098,737,708,526,329,711,165,507,815,667,573,101,551,880,637,
933,900,626,420,481,859,837,967,765,798,921,337,344,262,709,079,598,312,987,
252,363,060,116,414,520,553,487,745,268,615,982,780,149,113,440,004,370,913,
294,744,248,524,094,962,411,987,185,091,920,728,201,288,591,877,062,929,323,
525,616,135,054,026,144,564,579,986,865,767,481,000,547,716,773,785,312,743,
326,622,546,555,028,202,080,833,445,780,672,563,282,538,972,626,221,632,389,
426,168,640,057,296,677,186,743,198,866,107,852,694,318,727,479,414,128,871,
640,098,041,885,962,537,411,145,480,767,945,306,146,652,881,974,631,611,248,
801,769,591,917,505,663,726,138,898,984,045,309,481,446,910,316,234,404,515,
013,701,198,456,454,431,002,655,430,095,990,203,941,706,797,921,887,035,438,
159,020,666,979,281,146,741,104,646,073,364,309,089,415,522,338,782,828,438,
545,714,232,505,560,520,527,164,051,323,932,089,296,869,449,415,306,437,727,
007,415,717,746,642,228,923,361,488,384,938,414,166,928,063,401,119,701,633,
479,619,110,214,645,231,028,607,763,133,358,830,281,311,150,748,020,197,366,
237,971,949,424,227,818,274,164,707,498,755,531,584,796,833,365,153,414,716,
267,442,991,475,339,537,522,299,679,351,873,817,661,656,034,154,578,190,424,
731,387,210,026,765,717,455,749,038,961,280,506,584,912,861,896,766,796,967,
084,074,473,668,736,223,697,916,182,970,454,603,818,746,348,570,054,206,840,
169,669,861,180,251,867,217,096,147,566,932,880,627,881,173,231,699,209,225,
418,236,885,318,607,198,597,257,195,601,383,140,376,202,830,185,927,508,880,
814,632,286,062,789,733,576,897,555,291,453,978,832,427,276,281,382,361,461,
147,137,609,012,534,540,034,099,151,202,349,730,855,942,009,601,452,679,849,
827,153,974,890,349,180,965,501,630,995,726,876,538,883,264,098,336,013,220,
566,488,422,513,760,820,586,769,738,057,277,841,971,491,791,571,773,005,045,
908,278,009,379,720,744,612,098,386,790,618,943,935,910,471,491,756,580,393,
134,650,738,489,873,637,480,479,130,923,073,189,590,749,409,571,361,974,199,
325,879,892,808,480,465,308,371,670,732,426,719,562,467,871,310,437,396,983,
345,032,922,312,018,149,709,296,681,197,393,857,580,519,313,519,602,090,091,
375,213,046,302,393,137,313,642,728,610,662,325,937,437,098,440,435,741,760,
699,632,707,363,726,395,873,573,360,226,487,443,047,886,550,849,477,741,765,
978,814,343,460,088,859,242,561,491,019,970,592,915,194,961,922,563,017,920,
712,951,679,897,974,139,653,604,977,693,605,571,686,138,210,998,567,602,214,
674,846,007,679,607,180,597,139,009,223,694,600,456,732,408,780,344,699,317,
700,475,113,598,219,171,717,833,580,502,319,490,315,824,792,865,974,804,473,
234,297,652,643,820,918,490,798,332,436,708,623,167,346,435,260,603,674,260,
962,862,707,744,111,842,014,882,095,553,927,847,033,183,251,011,979,667,116,
897,924,762,067,682,571,604,489,575,873,698,679,041,526,148,818,748,084,747,
140,221,452,260,899,490,575,518,236,877,379,000,586,957,487,129,596,351,786,
639,236,194,615,875,357,637,500,489,234,912,285,657,479,996,226,700,123,441,
660,182,178,779,036,795,002,683,528,456,996,811,585,072,251,091,398,956,478,
515,231,680,836,949,634,709,231,150,557,224,097,425,723,784,825,877,847,937,
746,577,234,205,820,568,186,608,550,359,483,292,018,068,964,966,879,053,033,
304,409,023,154,137,562,626,133,077,872,032,092,897,689,476,943,927,913,312,
692,461,526,363,156,417,566,789,955,919,192,069,416,559,676,578,947,426,012,
300,305,127,568,913,528,844,691,262,770,644,246,195,629,961,307,305,739,044,
596,284,836,857,812,764,577,290,450,237,560,144,375,571,967,032,070,905,445,
919,407,986,629,310,223,925,067,572,614,314,524,558,017,196,161,329,323,049,
937,382,576,345,432,446,447,111,842,834,259,918,373,540,460,025,100,128,520,
311,493,703,204,285,489,848,119,630,499,322,250,148,637,867,003,948,201,476,
592,047,997,939,699,085,159,023,797,802,896,481,714,369,029,259,219,368,074,
865,640,532,420,123,466,123,856,688,939,696,965,558,115,594,139,970,973,283,
238,744,190,999,291,007,197,054,896,155,551,819,087,356,545,838,859,297,979,
522,858,039,861,608,966,179,152,143,845,813,536,846,122,641,796,560,502,889,
782,758,576,567,004,895,027,733,195,828,992,536,611,147,075,326,701,543,423,
111,025,289,525,758,238,754,010,958,659,695,858,013,301,960,068,915,917,744,
411,205,961,117,943,816,534,028,322,587,123,857,797,660,860,878,308,335,826,
306,711,092,168,929,076,241,899,332,365,612,859,291,484,969,653,536,233,623,
053,283,170,511,067,673,447,451,771,542,951,404,968,709,135,543,660,535,637,
838,171,784,740,146,885,056,542,639,493,627,236,778,348,619,005,141,915,645,
432,025,060,189,920,107,183,474,894,378,607,068,223,544,627,682,833,402,372,
422,690,195,229,264,339,179,885,928,422,389,983,291,663,294,611,805,520,756,
774,186,841,347,707,562,649,058,183,784,205,915,234,668,332,314,327,009,896,
204,259,618,877,332,450,109,959,959,493,226,960,866,371,547,206,940,079,728,
029,702,942,814,776,530,101,406,562,539,027,530,974,128,771,593,273,313,774,
689,261,760,113,426,401,140,764,011,108,583,468,277,139,417,142,072,193,684,
406,530,949,803,263,719,881,137,037,811,611,245,105,606,563,607,706,086,589,
009,497,613,326,073,847,004,914,603,569,507,874,375,957,763,656,600,073,195,
187,881,343,434,168,792,090,664,922,847,278,803,649,472,301,977,617,196,377,
566,328,749,716,729,601,722,353,676,189,059,837,144,267,435,179,071,020,903,
909,892,568,305,279,946,774,148,917,436,524,534,058,926,437,617,004,315,053,
216,548,091,594,749,454,314,174,350,853,990,252,120,105,678,130,224,729,939,
182,488,788,877,685,243,776,471,131,546,848,736,183,900,638,065,256,340,692,
088,904,048,623,214,631,961,981,832,574,715,676,708,988,701,327,923,819,045,
881,175,663,071,655,950,219,186,944,327,235,638,144,664,413,294,044,842,872,
936,005,715,641,796,669,670,707,905,795,504,025,222,017,444,653,103,203,301,
133,510,787,623,888,433,927,234,559,094,057,896,256,176,711,776,089,318,926,
779,652,019,458,758,815,731,428,732,703,916,853,885,827,383,995,240,184,206,
460,294,771,126,439,115,016,545,293,602,391,754,787,292,398,056,784,904,576,
641,982,404,811,302,232,651,175,702,937,167,808,619,944,525,961,423,383,262,
013,568,596,417,911,283,341,847,765,033,144,300,286,842,137,622,632,629,047,
448,493,137,498,788,040,681,384,894,553,408,847,504,707,837,659,175,352,530,
939,086,720,717,863,118,456,250,151,885,137,203,649,131,332,857,965,044,462,
857,636,067,797,582,750,605,697,512,533,121,485,436,245,106,574,860,754,436,
373,511,822,133,702,464,008,861,136,756,677,595,779,960,624,092,853,495,918,
438,435,137,864,555,163,361,990,462,814,849,675,665,905,319,707,365,577,922,
176,738,901,678,299,170,574,456,609,772,428,753,040,321,936,591,129,921,092,
169,774,552,166,690,101,891,808,785,655,090,995,954,667,840,802,252,593,088,
733,528,389,795,104,564,605,574,360,724,830,703,766,421,873,981,291,978,162,
419,453,873,365,838,319,234,366,856,857,850,835,366,396,562,828,058,499,670,
639,387,732,039,790,502,979,656,980,918,628,694,243,983,990,324,911,952,728,
016,932,249,010,522,762,055,623,454,058,081,439,405,022,543,944,519,389,630,
010,281,568,112,132,292,748,671,907,925,607,284,595,829,693,601,497,464,663,
271,912,392,225,380,034,899,765,373,783,396,629,486,364,408,999,660,550,838,
616,686,300,837,018,261,869,305,726,346,713,521,696,033,094,667,858,834,748,
525,607,656,227,204,303,141,789,456,891,288,571,042,100,978,473,836,384,881,
780,498,874,688,716,170,457,920,304,469,638,825,875,977,506,795,130,315,135,
362,292,701,244,249,944,301,097,032,118,081,389,423,503,919,350,514,856,735,
696,434,870,657,671,324,531,655,463,501,177,181,682,398,917,752,392,043,566,
715,472,956,260,891,473,103,577,727,237,758,206,840,035,940,779,816,867,136,
037,591,045,452,997,305,062,798,245,016,307,601,094,770,869,531,861,861,341,
731,792,961,970,868,846,991,677,475,286,927,489,855,617,823,439,297,143,798,
599,030,351,982,354,370,568,387,824,106,423,124,941,333,352,046,527,766,005,
126,310,927,534,416,093,706,656,551,747,582,180,414,119,681,154,485,499,655,
974,058,396,752,609,226,933,586,233,345,024,777,600,212,664,389,827,361,508,
200,765,827,407,239,472,949,251,516,381,339,784,460,735,648,349,255,713,796,
399,195,666,925,428,495,222,645,438,617,674,092,564,228,572,033,158,876,330,
190,598,819,506,868,338,728,005,906,557,553,037,992,808,658,885,417,726,261,
461,653,379,527,986,006,461,886,235,388,483,066,103,592,921,690,117,401,890,
755,312,550,876,346,319,316,718,782,837,625,173,169,644,887,586,337,089,902,
577,050,998,281,397,060,950,096,557,034,296,363,198,995,899,804,372,566,889,
785,428,516,478,247,550,880,586,705,272,822,982,921,723,211,737,783,136,821,
022,406,213,284,292,473,797,135,186,910,693,307,013,906,815,529,527,719,831,
992,788,226,149,729,510,607,081,095,833,997,404,459,154,557,816,132,590,481,
118,176,261,763,358,431,402,692,682,176,062,170,226,816,163,112,034,289,476,
078,086,351,553,503,801,783,816,522,408,130,211,213,218,131,440,698,322,106,
964,414,789,587,279,894,026,528,107,187,582,110,892,238,751,900,920,959,105,
383,914,511,091,837,804,225,796,447,810,806,974,694,251,423,760,262,081,937,
223,834,817,855,209,464,691,627,548,837,619,863,676,899,546,250,798,757,597,
020,210,349,569,856,662,812,575,983,558,211,221,587,305,522,829,996,621,788,
546,107,239,453,030,522,241,964,218,244,586,337,555,527,919,545,368,218,880,
915,825,450,401,993,308,868,800,685,726,735,829,666,932,611,273,696,298,321,
995,869,782,075,511,780,434,082,401,695,796,636,346,217,196,763,314,961,680,
551,665,000,237,430,502,337,028,852,225,343,691,832,500,139,186,809,257,920,
332,963,237,298,163,343,790,188,453,601,211,163,769,498,150,414,580,155,688,
851,317,545,197,263,285,262,851,504,893,794,967,604,471,292,359,285,979,197,
407,069,524,147,607,767,091,053,557,586,378,032,744,948,064,970,428,974,082,
987,081,198,661,347,409,516,229,002,024,505,473,116,080,223,212,008,377,588,
882,529,691,988,516,009,224,514,684,139,929,349,881,578,958,623,639,251,691,
770,315,822,161,080,198,068,425,370,180,690,609,113,636,719,389,233,976,444,
267,904,035,110,990,937,014,719,430,048,437,834,882,691,911,084,756,614,375,
397,761,547,601,772,766,659,425,109,323,652,383,869,319,561,615,338,921,225,
548,666,078,389,790,399,395,405,116,903,201,833,756,353,741,041,627,641,838,
856,062,969,642,294,295,782,167,401,698,471,160,121,292,962,497,130,223,793,
530,606,378,102,983,890,848,302,380,611,600,909,456,281,608,596,551,715,171,
303,731,395,904,823,263,670,150,846,752,618,906,486,628,849,914,402,063,951,
403,538,920,395,310,448,172,748,032,951,917,786,330,628,299,201,981,936,290,
607,880,333,640,359,417,755,139,210,690,928,276,129,365,104,755,778,059,629,
306,683,193,928,540,408,299,663,719,061,154,702,398,013,411,249,884,218,381,
661,888,146,506,430,260,835,993,433,977,735,998,124,586,272,934,050,802,436,
859,945,607,719,195,723,102,476,357,528,490,762,802,108,140,523,745,478,965,
983,188,171,784,604,406,554,386,431,975,982,264,482,953,162,964,370,418,404,
793,135,915,600,435,988,463,680,852,454,805,742,817,444,582,436,362,624,811,
781,430,305,495,830,895,317,816,799,327,215,458,339,230,762,308,704,254,131,
809,425,566,215,739,548,603,042,405,782,241,633,242,271,793,044,826,351,504,
148,430,433,851,505,932,331,486,399,755,347,653,239,119,947,505,993,495,190,
008,089,351,578,073,344,267,678,844,422,097,377,649,898,461,829,597,863,995,
683,931,161,613,483,900,991,471,690,109,187,768,643,552,399,825,259,107,413,
982,664,137,197,470,527,069,454,729,031,799,414,497,168,460,429,521,212,028,
433,231,667,144,408,460,355,718,149,619,192,465,764,824,194,718,723,924,999,
800,130,625,323,266,366,743,234,954,050,326,804,446,801,190,481,745,596,610,
449,090,654,971,016,231,719,312,831,077,553,081,464,142,087,974,164,522,367,
829,779,359,405,703,761,341,590,311,054,769,037,768,131,091,367,059,107,742,
649,644,690,380,856,187,411,493,913,569,468,213,670,612,763,999,653,190,020,
319,323,970,686,179,866,611,726,659,729,299,451,995,860,904,803,398,476,918,
474,018,028,553,845,840,774,829,020,496,790,923,826,482,202,797,365,458,674,
728,020,019,817,693,639,809,616,728,773,995,889,444,048,461,893,694,148,761,
361,262,994,308,380,828,103,900,546,380,071,113,132,645,809,011,073,245,398,
007,582,519,518,546,920,327,622,597,751,352,348,144,386,339,775,906,398,106,
137,731,997,214,920,352,700,692,051,698,735,357,584,731,050,887,788,317,007,
691,098,159,272,630,529,659,860,740,205,725,526,962,541,987,933,774,562,331,
313,045,642,244,916,669,724,993,855,500,740,412,450,551,774,977,853,715,656,
954,688,457,615,072,220,775,534,652,491,073,837,014,116,918,164,195,648,565,
305,541,181,938,773,613,039,518,256,312,176,436,382,245,759,117,422,749,248,
563,610,291,749,438,912,111,003,793,141,458,916,113,020,703,925,311,045,695,
641,074,136,838,449,915,095,549,137,086,335,235,688,900,946,397,487,839,252,
500,214,574,951,222,808,018,885,459,993,385,919,503,517,465,535,147,574,821,
989,281,788,838,008,139,225,461,363,856,127,475,524,766,337,530,208,098,873,
034,882,653,245,790,529,962,543,470,910,216,306,138,615,541,573,821,719,199,
134,777,114,903,029,976,810,346,369,861,463,592,648,127,296,040,445,417,392,
583,233,169,197,043,782,073,084,232,519,996,992,262,412,349,289,810,172,546,
546,629,325,328,858,130,955,139,801,674,774,561,382,167,840,294,431,688,525,
038,215,987,105,911,240,169,859,755,424,579,901,388,324,690,366,773,482,966,
299,901,136,935,269,429,647,393,863,205,388,253,561,333,029,343,932,750,648,
222,513,015,175,916,799,200,284,017,745,553,990,940,728,143,162,940,330,759,
485,994,802,071,981,606,847,744,025,616,652,649,898,503,581,659,067,602,841,
742,863,385,849,936,060,295,939,018,854,909,422,981,925,989,208,552,121,595,
776,536,004,322,835,061,054,075,937,861,006,248,542,767,759,025,661,490,188,
166,154,008,880,364,003,077,440,262,351,522,138,526,387,943,162,546,533,212,
131,718,697,256,870,937,212,639,504,296,081,389,996,190,615,478,216,898,346,
115,448,476,407,014,093,784,551,256,050,597,859,231,915,969,567,119,617,323,
425,696,422,940,276,742,596,448,208,325,005,264,466,010,486,377,166,110,569,
743,864,572,097,348,006,273,492,349,095,859,881,802,985,798,228,550,691,133,
439,524,471,673,899,062,947,440,893,409,540,799,016,486,956,288,674,808,439,
639,582,436,933,400,401,299,971,142,327,749,999,508,055,569,836,696,201,607,
210,308,730,016,879,567,727,754,060,884,095,544,612,662,016,083,036,125,474,
330,314,394,342,084,821,633,639,147,472,927,235,353,507,014,402,306,465,457,
060,792,180,308,018,716,096,128,135,233,019,455,822,159,542,449,358,907,410,
340,383,224,520,352,664,093,891,320,738,186,917,618,993,892,332,039,107,976,
898,085,778,705,925,495,921,979,798,362,787,236,141,795,821,206,084,614,696,
744,234,899,674,512,476,775,158,265,665,954,100,444,849,866,455,814,318,455,
122,386,158,946,513,665,443,474,696,623,693,491,247,169,248,404,590,429,787,
050,320,259,339,388,993,143,432,361,076,003,326,088,837,986,346,227,824,020,
859,052,290,031,794,674,701,010,760,562,661,366,317,768,098,113,112,690,696,
455,322,926,953,586,313,940,537,464,814,260,662,898,953,238,764,264,608,788,
430,459,333,628,289,721,977,315,362,372,046,741,135,011,921,043,871,286,352,
679,930,530,595,678,966,424,575,450,328,284,721,101,780,478,357,480,869,980,
771,732,382,676,418,863,712,957,428,501,004,488,545,706,969,785,781,604,113,
064,693,528,471,555,741,021,686,070,722,670,353,940,228,970,789,650,899,827,
384,313,719,756,886,818,991,236,713,324,625,751,544,215,056,601,094,739,428,
746,484,696,231,425,008,786,105,536,352,757,615,981,856,031,902,199,493,398,
491,291,480,669,323,802,153,840,734,787,228,441,680,989,780,528,913,582,269,
933,962,041,802,765,884,053,728,380,385,673,493,050,375,612,759,181,690,870,
633,811,993,116,572,957,186,138,792,722,601,981,950,916,294,666,570,844,707,
318,501,239,925,783,555,710,384,946,124,750,257,295,046,887,883,896,950,678,
842,818,840,176,916,168,490,489,080,447,466,365,710,093,880,688,791,128,455,
014,060,217,977,967,241,220,875,296,956,823,821,328,557,164,132,054,008,769,
741,075,802,472,079,012,278,334,501,007,713,108,830,503,400,374,244,619,669,
529,426,219,999,585,517,678,336,009,054,482,079,919,489,925,150,736,654,689,
286,444,633,656,767,056,117,890,166,459,397,021,240,155,213,751,544,227,467,
427,354,520,531,306,525,952,054,392,479,872,834,519,881,484,706,137,211,700,
514,457,259,402,900,416,990,839,047,708,137,555,346,773,875,050,424,539,546,
991,330,277,442,164,692,960,665,530,790,654,565,596,653,145,552,117,964,310,
114,552,650,751,138,096,185,616,179,421,232,234,001,659,102,006,026,674,739,
774,910,155,020,135,579,013,335,549,469,428,916,781,409,996,092,603,179,897,
021,805,164,604,373,111,156,246,173,501,714,674,877,303,877,356,856,044,415,
500,550,089,687,876,638,173,603,727,640,759,794,050,637,680,049,940,086,844,
302,736,774,375,381,377,003,761,973,378,860,069,595,148,979,908,409,191,145,
896,132,044,926,787,952,845,959,981,852,041,635,487,669,916,011,731,930,784,
069,361,865,128,632,351,767,026,539,196,493,180,821,691,652,149,421,535,532,
664,587,388,619,759,399,264,610,330,260,302,800,103,434,997,418,220,803,822,
845,057,932,447,390,563,637,100,483,121,272,694,306,002,765,444,474,016,056,
892,324,739,655,289,406,545,969,031,112,822,707,616,057,189,941,255,048,397,
009,234,138,258,195,619,140,717,119,317,958,524,591,416,540,178,017,019,708,
111,804,360,554,165,238,824,755,222,972,799,361,447,706,689,043,613,541,995,
041,889,959,367,078,813,053,514,226,911,222,959,637,939,534,260,856,756,412,
179,814,044,665,039,167,653,813,384,893,408,464,477,916,585,356,919,166,412,
007,952,949,554,274,809,160,333,761,098,987,371,058,415,149,990,731,453,179,
862,105,183,882,432,845,213,752,105,704,375,877,410,472,743,273,365,172,669,
336,017,265,076,991,851,053,722,575,485,391,868,390,900,985,442,870,257,963,
021,060,107,805,730,039,244,848,832,894,592,456,199,499,894,938,010,056,884,
799,404,124,715,531,633,846,399,464,272,687,451,320,855,021,095,030,268,321,
807,725,578,949,362,482,738,150,908,307,164,851,895,478,931,995,297,558,863,
491,115,356,288,887,214,071,336,787,575,448,236,709,326,520,285,926,038,062,
950,715,909,061,744,636,920,815,384,667,324,519,805,223,897,831,456,545,554,
288,495,401,551,439,640,883,036,232,107,089,661,037,082,063,754,874,700,936,
483,745,078,940,603,751,266,513,515,283,019,326,109,366,597,127,031,906,379,
859,398,403,785,849,756,537,375,764,705,181,865,340,476,793,025,656,977,615,
290,914,679,513,164,880,636,229,204,771,169,986,389,798,806,324,928,835,547,
057,433,911,961,643,680,797,432,589,607,501,812,237,721,186,984,669,727,985,
092,491,348,652,072,222,066,408,001,254,412,530,134,629,562,292,589,870,539,
551,327,935,505,277,277,739,438,006,845,292,568,163,880,139,380,977,876,137,
333,361,789,034,251,353,436,924,202,044,008,382,023,322,533,756,289,320,895,
565,738,790,308,504,648,742,622,652,092,313,194,559,660,996,159,103,090,624,
581,559,825,649,880,423,179,516,318,641,593,402,331,759,142,073,055,352,360,
748,579,962,363,264,562,444,656,317,487,982,826,994,207,463,843,640,761,929,
971,956,810,176,655,000,106,811,322,188,828,084,788,007,514,979,835,517,775,
767,395,912,805,625,067,790,096,943,401,858,295,446,148,613,752,588,381,946,
939,641,507,434,584,319,774,990,918,440,559,205,026,179,902,444,606,422,570,
588,655,842,480,328,994,876,346,512,491,967,172,416,413,173,802,513,606,230,
490,152,647,776,262,633,456,458,759,220,645,978,502,650,862,958,409,252,987,
405,914,063,430,218,788,566,865,016,056,662,622,190,083,210,902,797,926,928,
797,989,500,790,380,492,785,539,478,143,239,542,338,316,356,130,153,258,815,
073,551,896,548,634,722,973,418,288,165,630,668,663,606,097,826,193,548,755,
601,630,969,614,297,748,876,529,966,188,372,497,398,418,519,215,466,145,339,
553,207,869,410,276,806,355,758,701,573,883,776,019,536,300,867,676,482,811,
414,311,895,747,689,960,405,119,751,277,683,581,718,643,135,705,493,791,716,
373,992,766,691,317,434,244,045,907,358,039,767,141,348,870,009,401,135,459,
127,483,195,178,362,014,545,076,835,318,608,072,771,257,704,356,192,651,884,
965,344,797,070,818,137,620,825,558,210,872,580,335,912,341,430,932,661,523,
942,786,769,185,592,109,288,973,196,107,138,034,301,863,595,285,925,461,485,
664,876,836,672,800,345,236,902,463,247,929,754,150,797,290,771,728,788,667,
005,527,769,038,725,546,638,062,400,300,324,613,802,938,442,926,753,479,619,
849,126,314,677,982,293,396,374,046,464,428,582,170,541,631,542,764,693,777,
265,285,689,296,731,031,949,675,835,027,389,424,188,158,237,464,487,277,939,
019,918,044,419,851,745,528,601,362,978,352,568,426,194,123,887,521,475,006,
844,809,010,098,975,075,845,551,168,411,505,171,716,830,488,582,196,590,758,
419,645,688,431,237,724,832,120,837,430,964,546,414,653,579,675,201,415,386,
812,950,603,538,834,927,516,659,608,896,593,213,361,369,141,019,749,926,601,
741,639,199,732,010,705,079,015,194,769,286,415,645,544,796,058,214,816,018,
953,759,073,991,494,337,642,829,018,142,205,530,241,370,774,496,658,188,346,
664,150,637,824,813,108,322,650,050,720,971,692,380,636,311,075,894,689,804,
435,678,682,614,914,068,673,842,488,079,717,181,609,851,312,534,221,767,947,
871,058,592,626,329,086,604,110,587,792,432,887,258,470,932,775,043,269,262,
050,662,967,462,919,454,761,852,333,563,754,358,490,996,926,443,813,053,252,
159,681,064,649,598,204,223,131,931,957,999,317,038,303,702,001,072,188,335,
768,482,906,142,876,123,445,959,532,627,163,278,220,197,088,918,038,976,700,
902,445,238,499,479,972,802,514,603,132,915,904,608,814,456,390,968,915,849,
385,998,003,760,901,296,930,906,261,168,453,106,471,135,827,454,756,638,704,
375,927,665,852,464,882,237,360,360,770,457,590,016,833,852,093,528,346,014,
621,704,303,333,842,428,409,247,557,131,922,164,535,707,777,748,593,760,492,
321,666,106,986,220,698,527,966,924,194,572,963,595,961,801,899,710,535,736,
551,214,094,950,236,060,830,093,099,499,004,554,652,255,895,122,983,289,899,
333,601,798,978,641,464,292,894,261,874,173,949,658,402,733,131,953,690,885,
749,016,517,424,889,768,816,713,155,329,652,617,859,168,531,527,955,599,584,
658,322,508,546,325,370,895,843,241,145,326,124,378,876,838,431,959,778,274,
978,372,987,652,902,470,728,063,490,289,744,160,054,103,219,174,291,317,626,
366,396,516,074,552,181,108,923,969,172,953,943,482,253,581,368,894,934,003,
063,925,269,246,541,374,939,905,112,536,892,537,848,078,979,511,667,439,743,
777,343,240,450,550,330,399,513,115,963,218,438,534,166,926,200,242,581,764,
695,292,223,117,468,820,328,549,476,125,769,390,021,235,467,836,128,693,694,
564,782,460,499,143,603,089,596,537,422,540,504,883,948,175,871,230,121,268,
114,110,106,475,189,408,415,286,415,791,204,351,895,481,726,200,037,078,912,
381,747,764,808,335,537,975,602,842,627,090,000,524,184,783,553,238,693,226,
339,966,885,625,453,866,295,433,796,792,975,741,395,006,494,166,419,560,525,
674,724,584,340,628,440,257,395,956,575,626,180,131,253,128,054,199,776,183,
402,284,130,901,079,068,164,436,363,419,671,690,638,007,757,256,827,176,731,
877,997,162,667,901,805,688,722,806,584,468,862,958,606,886,553,353,229,486,
362,010,506,013,420,760,517,467,328,872,404,761,680,210,184,132,755,154,338,
385,116,708,981,442,342,383,335,054,387,431,678,231,811,012,666,377,735,138,
781,595,551,116,060,042,605,260,654,330,767,091,866,716,753,445,781,434,291,
116,537,701,221,861,440,948,362,081,065,220,970,520,530,546,793,356,929,174,
159,823,858,170,453,418,107,255,297,177,873,334,248,450,757,122,213,264,919,
803,585,615,399,721,119,313,833,093,276,838,529,678,243,864,996,847,997,753,
232,155,225,195,208,602,029,314,008,312,218,617,275,519,251,504,804,512,006,
934,086,175,733,435,830,234,683,298,225,666,008,286,338,007,288,557,222,762,
913,662,301,894,042,273,614,155,917,019,980,552,471,121,970,533,662,983,519,
373,887,880,307,081,502,793,225,317,399,890,864,532,451,562,927,554,814,981,
104,060,561,225,407,723,666,259,116,748,977,086,851,593,570,279,655,773,935,
965,074,069,508,236,931,886,364,467,677,779,961,548,813,644,903,490,391,607,
469,141,320,974,208,610,918,600,585,588,664,610,191,010,325,218,570,700,054,
585,032,869,487,348,773,932,597,000,594,812,877,460,741,970,301,521,033,563,
228,197,354,170,548,931,261,684,517,932,504,353,218,308,009,809,619,068,388,
345,384,310,456,435,437,209,907,600,068,683,947,962,178,982,147,529,769,973,
746,700,090,275,852,394,296,506,022,095,940,147,408,738,399,950,766,657,387,
489,864,652,344,781,061,456,340,615,532,582,821,800,177,013,764,005,660,447,
887,239,793,668,112,947,024,104,239,114,745,131,713,340,601,452,376,353,627,
327,719,186,773,252,252,417,270,578,288,749,826,836,593,141,419,247,302,931,
044,717,658,203,889,659,864,413,251,179,571,849,804,065,501,735,486,733,849,
020,576,849,319,387,322,025,556,120,450,261,552,654,572,904,555,324,698,517,
305,980,279,622,286,767,609,995,244,015,978,393,585,328,811,009,605,290,990,
548,153,796,135,880,269,593,467,196,571,013,105,550,400,356,702,482,450,858,
818,494,305,839,247,582,957,947,035,457,052,333,369,121,249,193,809,078,686,
394,098,790,809,269,492,312,869,351,060,847,950,393,402,641,064,255,724,211,
296,645,360,722,364,614,942,996,304,888,452,565,393,097,358,858,056,416,920,
743,100,418,406,731,471,459,865,412,675,122,254,079,807,146,752,507,397,804,
226,988,762,175,091,247,861,050,532,166,068,391,432,295,045,644,921,502,988,
480,174,948,924,401,872,856,382,236,014,591,380,105,485,647,951,608,223,230,
969,873,320,230,927,511,066,327,773,370,801,933,776,525,836,764,010,896,175,
172,133,492,702,582,880,735,029,547,943,343,363,588,970,892,418,992,974,005,
613,986,329,591,643,543,914,438,693,193,832,436,491,769,512,770,772,927,994,
161,673,142,326,664,155,948,818,125,276,166,441,447,669,430,355,154,205,880,
038,058,922,356,045,935,260,057,881,749,280,959,353,036,328,008,007,151,319,
503,330,578,511,625,230,373,519,872,616,060,707,273,088,019,500,316,540,283,
476,810,465,894,107,265,209,737,056,768,783,251,244,104,618,047,277,856,402,
772,067,148,240,757,357,941,376,964,679,533,372,046,284,971,770,018,303,848,
897,588,472,246,155,064,802,900,612,395,692,727,022,503,701,378,554,321,416,
919,203,294,788,616,469,141,847,521,156,880,852,223,362,805,012,422,663,510,
822,078,393,581,439,152,361,840,908,822,198,012,773,749,500,263,823,061,949,
051,041,640,408,087,485,797,499,726,038,258,390,612,921,996,360,585,437,494,
716,125,898,966,756,789,698,171,871,050,970,899,563,652,561,382,254,662,915,
108,051,911,463,589,299,170,807,308,961,344,552,054,234,579,384,252,426,796,
898,028,857,340,953,697,899,316,314,889,157,897,253,393,339,017,749,380,813,
462,516,305,726,005,855,784,833,027,590,796,150,905,104,059,668,099,079,328,
614,022,126,275,616,978,836,218,103,198,851,204,475,578,556,943,992,788,077,
639,341,360,050,759,449,350,495,440,552,671,333,343,563,124,215,072,605,538,
369,507,510,663,318,145,300,737,509,213,553,217,165,275,049,240,270,075,824,
301,811,282,265,443,282,465,581,716,850,322,995,039,303,365,979,432,728,871,
160,450,229,257,604,379,432,480,117,623,374,066,815,012,928,610,564,600,320,
654,248,751,933,610,411,006,178,823,043,636,472,876,386,430,651,370,694,820,
377,667,225,649,090,281,289,816,774,926,078,207,796,512,139,603,437,475,975,
726,172,497,955,811,890,740,993,683,255,345,709,224,139,168,056,928,666,324,
002,482,021,217,871,133,152,034,924,910,988,497,484,184,496,877,946,995,483,
950,695,327,492,130,217,858,796,672,049,766,749,380,263,277,058,927,652,194,
419,841,246,492,392,888,080,908,619,640,427,579,246,811,304,316,449,296,966,
014,726,833,110,283,678,519,788,237,969,540,392,580,050,951,270,950,174,896,
679,549,661,836,309,032,762,844,072,090,280,363,096,828,764,278,137,583,124,
758,935,081,671,532,210,169,219,758,051,502,376,459,336,102,578,136,551,981,
171,034,451,388,133,310,124,260,688,374,339,476,394,472,669,245,344,856,020,
401,151,689,911,033,010,258,432,746,764,316,254,475,735,793,579,252,969,954,
492,457,871,722,379,833,127,062,509,396,686,488,436,640,986,412,899,642,147,
012,107,693,471,130,242,373,371,375,939,555,325,214,586,511,616,697,865,985,
099,703,553,504,567,713,200,653,272,366,955,135,294,054,540,493,423,300,904,
213,419,522,496,961,240,089,754,616,323,300,517,910,138,597,925,174,496,795,
821,296,708,761,991,831,104,286,129,506,908,783,935,268,694,129,532,374,734,
435,079,607,539,417,458,174,076,585,038,121,140,959,325,117,858,299,924,159,
783,526,682,587,629,362,501,069,247,211,120,091,101,989,580,435,166,362,577,
510,612,084,398,578,064,430,828,209,632,933,872,258,107,488,521,384,042,501,
632,914,645,259,033,191,298,101,672,091,980,424,821,033,733,732,124,468,346,
777,426,344,189,208,053,176,944,166,656,469,597,555,368,462,973,015,982,468,
702,030,034,706,599,904,645,084,794,590,900,889,698,673,558,343,163,149,547,
057,711,868,168,188,222,814,350,929,138,435,195,126,195,406,692,601,773,833,
615,423,078,838,556,112,308,527,148,118,443,374,782,071,837,895,481,022,737,
416,296,697,528,802,898,209,198,988,799,181,449,729,444,088,538,940,679,022,
482,765,315,602,859,230,386,969,885,852,216,896,929,509,496,202,174,516,084,
424,170,227,742,111,699,772,504,019,671,412,235,045,747,712,506,377,582,039,
070,793,937,349,545,451,470,932,709,371,700,954,090,734,048,252,397,739,004,
126,370,684,992,899,532,261,361,125,157,766,287,388,471,588,133,625,441,666,
973,606,792,493,094,527,402,130,026,569,886,488,501,795,485,481,677,767,473,
752,263,196,321,913,086,874,409,435,436,387,257,421,535,069,456,429,721,627,
562,638,335,409,614,565,609,469,671,509,662,048,077,746,874,028,502,267,016,
838,631,021,371,852,052,866,271,308,135,151,858,791,945,003,691,551,373,767,
621,428,241,700,572,919,250,650,164,306,117,232,466,507,796,802,676,559,622,
064,269,307,809,497,735,404,781,620,310,498,962,986,518,145,143,933,210,603,
362,195,295,831,204,583,068,656,006,189,452,052,123,228,521,974,282,921,605,
890,074,769,663,837,349,446,454,326,621,333,631,304,686,128,781,749,156,098,
732,977,787,995,414,051,662,399,247,437,197,415,261,897,496,415,782,967,730,
438,612,302,119,077,872,611,629,714,256,391,036,419,029,240,277,761,266,935,
688,349,813,845,765,668,093,444,345,752,043,864,023,966,178,778,866,081,035,
809,757,850,491,119,721,153,970,006,133,197,332,122,231,462,457,448,515,332,
264,670,770,268,469,823,509,183,519,942,561,598,235,990,842,209,141,009,063,
493,630,719,529,693,762,316,024,400,670,470,602,816,920,333,769,106,776,483,
082,381,408,396,971,354,100,535,955,614,060,435,866,360,318,993,066,576,441,
230,052,874,102,109,018,121,302,413,254,059,967,295,897,320,334,680,746,092,
601,206,229,291,576,129,593,193,058,436,973,315,392,031,917,707,720,773,259,
765,974,375,551,067,221,573,151,280,706,515,547,076,377,922,222,253,364,635,
500,865,859,488,874,647,501,213,701,908,678,232,684,256,165,294,590,391,275,
339,110,843,991,538,331,090,321,701,018,626,895,651,190,978,506,450,858,234,
404,689,758,998,710,380,590,000,579,176,810,185,496,385,107,726,096,685,476,
096,738,938,346,289,549,957,533,718,027,364,573,042,079,485,925,791,219,925,
508,408,796,436,988,562,810,459,739,065,139,395,769,918,900,653,035,132,147,
860,461,498,110,997,856,524,914,857,403,517,844,429,167,710,310,155,391,389,
561,310,928,383,443,204,413,780,477,067,324,324,121,025,741,455,746,219,620,
611,073,052,539,106,490,429,161,538,168,730,812,594,270,185,104,099,547,896,
569,035,244,416,911,399,052,211,203,542,354,149,466,321,812,617,479,342,570,
940,837,445,561,410,555,277,619,598,791,240,432,117,635,883,128,951,717,900,
372,008,600,642,464,619,949,182,953,204,014,978,010,450,493,745,401,421,347,
560,260,912,517,151,397,064,937,421,825,242,907,787,229,596,290,347,223,502,
051,567,029,715,098,511,477,505,983,030,120,203,626,392,976,074,656,864,330,
261,147,482,211,253,957,310,276,860,554,703,899,505,819,093,542,672,512,520,
070,623,335,395,414,884,522,340,180,653,112,679,470,136,557,853,507,109,417,
240,482,053,117,749,397,507,192,604,921,172,016,118,980,204,928,917,244,260,
356,388,129,930,302,461,697,333,651,178,506,163,343,959,858,497,617,882,458,
758,118,193,609,954,957,398,416,099,354,187,593,801,333,300,020,106,426,448,
511,409,499,280,186,840,501,382,035,349,952,606,046,784,750,069,729,443,332,
349,445,433,210,564,206,600,341,399,934,190,096,513,652,575,259,398,875,256,
250,450,465,125,921,212,450,541,328,008,316,676,102,400,987,712,013,740,389,
946,127,784,541,768,715,590,064,063,761,162,269,835,930,734,666,722,301,688,
315,094,972,731,016,079,436,750,267,793,642,505,412,471,579,615,334,369,253,
880,696,319,781,916,432,008,743,927,227,499,824,213,500,256,353,250,951,757,
126,266,816,101,782,424,306,762,237,093,266,120,242,314,507,192,025,632,524,
868,485,616,985,128,752,896,599,526,333,775,290,585,524,196,356,043,331,954,
906,241,655,306,560,562,667,585,163,295,367,207,028,904,605,048,268,515,648,
065,842,241,177,814,659,658,365,961,048,990,118,205,633,722,040,302,604,850,
909,443,804,025,202,728,214,182,864,482,587,753,454,853,377,474,666,542,449,
759,852,471,945,628,365,432,701,715,701,105,644,974,626,873,902,881,093,819,
263,999,005,957,016,920,277,710,168,177,964,574,913,443,451,647,525,323,102,
430,940,905,529,493,129,199,699,292,636,957,896,781,499,322,959,710,035,226,
867,227,215,157,496,651,168,711,841,499,268,872,617,237,025,847,820,798,309,
283,030,731,165,012,300,256,327,992,630,671,816,859,427,059,983,137,062,929,
727,421,418,216,090,466,491,341,811,655,627,453,733,347,878,241,987,138,465,
954,943,381,178,560,712,278,945,931,814,282,178,918,709,582,940,871,381,945,
622,978,634,654,440,929,210,431,667,089,582,474,993,343,450,202,022,850,327,
405,723,699,856,333,324,372,406,784,341,922,324,771,427,067,448,926,701,809,
305,220,563,329,864,360,877,326,939,691,017,088,267,410,760,461,170,753,141,
335,072,791,681,140,087,344,086,521,095,974,445,807,763,350,011,246,458,324,
574,895,284,083,885,907,691,884,351,659,736,247,367,726,945,364,352,108,749,
908,383,619,724,038,737,795,613,831,257,644,689,471,588,287,823,282,487,953,
209,555,442,438,132,378,361,109,426,096,106,997,323,639,287,231,693,326,951,
253,062,987,986,851,190,422,416,449,017,721,853,403,171,173,019,081,165,080,
202,227,205,652,024,254,842,263,768,036,844,598,195,715,897,670,139,795,956,
966,722,126,626,022,259,818,861,218,100,966,331,234,509,637,339,070,439,209,
513,831,187,525,706,963,738,166,627,643,604,441,159,267,947,377,746,541,278,
716,219,306,687,637,367,188,265,212,322,509,713,163,113,378,300,740,014,616,
744,748,171,339,378,705,301,439,375,958,639,383,949,052,412,310,064,786,915,
776,551,136,764,964,016,940,143,735,692,610,954,147,724,383,734,315,588,734,
281,298,778,122,934,200,955,799,513,630,334,776,942,230,230,586,523,865,872,
235,668,377,425,293,589,056,667,884,949,184,971,314,729,442,928,937,598,650,
339,229,618,657,778,906,138,555,881,404,914,417,173,768,394,078,341,592,334,
268,187,907,461,304,883,232,625,465,629,858,439,785,230,431,732,820,250,119,
742,969,325,061,675,513,774,506,262,016,785,321,748,146,380,391,279,671,407,
861,491,465,347,116,691,807,652,515,968,015,018,800,828,785,778,533,310,343,
590,008,998,218,523,297,182,341,586,880,019,437,303,099,584,100,552,992,364,
991,361,684,986,975,907,545,354,831,190,051,772,415,528,276,841,017,157,656,
817,884,517,343,292,602,767,075,220,522,171,627,255,650,259,148,743,134,354,
946,680,271,418,110,989,434,330,064,500,328,545,580,711,024,526,472,701,481,
714,149,323,480,915,677,075,603,921,154,407,378,262,451,533,534,682,349,327,
376,809,882,200,937,320,337,709,426,186,339,596,182,467,268,388,538,026,916,
347,468,952,497,505,009,764,656,983,489,390,439,464,342,515,087,202,065,257,
427,260,783,457,569,553,146,147,975,513,068,370,741,616,519,379,067,473,911,
614,185,002,290,498,834,526,610,907,319,953,262,943,762,404,626,718,874,879,
389,167,785,729,485,827,459,648,710,573,836,061,646,158,585,443,219,504,753,
844,741,159,148,759,249,373,682,303,491,161,045,141,253,631,290,815,061,236,
600,263,885,337,246,151,029,416,446,206,868,654,812,258,824,258,968,881,888,
208,021,499,911,462,535,572,289,820,762,372,457,590,367,039,157,797,114,127,
944,536,069,715,979,040,216,288,123,255,487,387,725,102,693,540,768,525,642,
190,073,011,018,231,295,451,517,743,748,525,861,228,231,667,704,017,047,230,
558,136,068,132,642,555,793,646,707,776,540,682,990,037,962,263,857,011,192,
082,171,071,265,033,888,657,689,270,852,416,697,013,361,718,416,439,910,179,
620,006,696,580,431,247,388,158,398,279,064,672,028,191,025,385,503,970,558,
683,812,129,671,391,646,330,156,937,890,154,647,254,284,510,695,637,437,053,
321,711,868,806,452,180,127,176,065,506,052,391,709,820,639,703,218,667,023,
202,210,078,446,427,140,407,858,322,821,329,608,226,058,097,390,439,846,323,
031,535,568,459,460,907,439,857,906,973,631,670,798,991,433,654,540,270,522,
964,888,000,701,286,133,648,087,655,509,321,489,516,694,514,353,147,669,345,
495,550,450,101,549,893,740,857,835,103,617,923,672,321,884,764,029,461,131,
492,518,819,156,231,697,128,473,415,898,126,977,145,323,404,486,906,588,793,
162,715,866,946,695,498,713,601,334,536,789,283,108,561,167,179,577,808,505,
072,705,137,290,397,818,302,065,819,590,208,942,309,067,266,647,225,742,037,
654,649,712,603,046,181,845,988,205,387,320,033,194,485,119,144,876,090,871,
500,809,140,670,432,740,889,753,052,637,693,781,146,377,072,106,224,324,677,
515,549,696,101,951,547,041,443,957,869,476,926,979,933,645,601,018,437,823,
386,248,611,795,020,650,458,991,945,387,152,953,655,180,042,673,621,781,336,
673,982,715,241,523,793,792,620,012,308,480,465,294,433,329,546,937,763,322,
841,919,711,902,411,337,153,060,623,067,667,440,833,322,198,421,873,637,548,
496,599,921,954,285,640,762,236,923,506,197,923,478,135,059,769,935,480,660,
213,548,476,623,600,098,346,905,170,955,436,059,566,493,910,867,522,699,556,
770,382,674,499,775,607,902,598,254,382,358,624,739,966,228,626,554,139,609,
176,301,105,152,897,987,995,937,154,044,577,715,466,902,179,076,634,250,394,
087,189,022,979,496,392,633,566,347,919,619,379,960,558,332,419,296,783,585,
645,000,042,751,004,040,159,830,775,636,842,548,243,808,233,351,903,717,402,
466,861,479,081,061,132,327,734,702,502,509,965,696,675,880,465,435,244,581,
882,389,147,656,978,328,229,715,363,313,057,851,140,199,767,465,590,123,842,
633,877,487,395,153,144,027,661,542,344,367,329,166,087,981,874,824,334,121,
611,113,275,882,166,399,379,652,350,711,502,025,744,963,315,216,307,446,207,
859,757,857,074,269,310,564,341,719,293,239,677,238,811,636,898,319,870,093,
310,520,301,854,762,770,042,090,795,116,703,881,121,030,294,738,390,837,232,
143,764,337,203,643,112,649,849,786,955,383,699,179,351,994,579,082,961,376,
104,791,281,413,898,476,128,061,222,680,331,772,058,066,573,715,229,337,787,
047,756,640,631,991,383,891,309,990,445,785,767,656,189,736,488,830,949,026,
906,918,008,345,397,341,093,803,083,226,614,459,175,733,316,847,945,740,819,
669,117,679,409,824,702,081,686,379,695,114,970,258,227,996,803,863,785,508,
343,683,596,837,621,412,406,685,553,078,820,206,151,589,761,802,998,558,378,
339,845,389,168,582,744,140,122,118,675,410,109,727,224,843,952,446,062,065,
511,826,377,857,252,140,570,373,783,628,595,650,339,798,824,589,559,359,074,
587,603,018,683,254,613,820,973,951,471,240,416,753,144,305,321,422,845,877,
744,330,050,773,024,827,835,925,049,109,434,042,250,709,463,486,058,087,076,
566,339,927,651,049,771,180,565,473,435,265,629,945,642,243,132,728,933,059,
958,216,971,821,295,918,836,466,853,422,030,814,958,816,792,530,769,680,174,
593,993,265,608,014,556,744,205,165,814,262,127,238,274,263,938,308,199,617,
437,449,877,406,484,657,912,410,315,927,483,074,709,616,777,981,028,776,128,
079,546,553,491,605,901,289,668,180,022,633,367,297,990,050,755,528,797,791,
389,782,763,489,425,006,354,952,018,262,104,803,053,159,290,723,375,653,602,
801,544,851,810,006,854,905,814,041,899,160,130,304,488,804,970,943,904,629,
944,337,565,841,754,554,325,412,946,963,754,441,644,701,289,960,760,650,516,
678,375,787,532,794,811,252,283,317,170,340,856,730,775,479,884,309,402,323,
233,740,664,518,599,132,704,014,629,974,231,099,454,324,352,356,664,397,990,
046,319,916,421,195,071,644,164,715,231,524,156,419,816,288,377,395,546,545,
130,121,758,286,528,046,658,947,003,255,979,947,964,607,567,941,523,684,342,
775,858,287,958,721,640,051,751,372,458,602,048,948,120,546,883,024,356,331,
142,828,625,829,278,874,953,914,827,083,687,676,502,576,965,822,168,556,962,
843,595,621,137,356,790,509,590,239,100,818,138,846,618,380,078,678,824,671,
925,224,736,822,988,519,399,396,405,539,621,196,047,428,338,316,300,301,585,
867,692,273,880,555,128,806,628,153,698,776,647,004,473,915,959,095,597,461,
591,527,711,207,071,914,696,985,849,041,204,103,032,626,951,192,632,805,613,
997,546,569,010,643,054,199,027,152,552,126,608,194,922,766,913,480,075,576,
295,004,940,500,951,298,164,330,852,576,748,499,179,898,849,241,414,573,411,
307,480,992,378,727,349,680,129,975,602,405,630,921,765,004,360,641,121,134,
074,794,887,044,992,963,004,022,431,919,892,409,905,531,690,683,915,927,177,
617,058,760,926,312,965,980,763,436,565,769,815,177,057,622,523,750,736,369,
841,714,220,950,793,620,416,641,677,683,828,053,788,766,744,060,060,439,390,
190,398,071,098,481,535,315,517,088,684,640,495,888,087,093,909,472,018,171,
861,608,006,968,376,354,356,887,275,982,154,063,507,643,851,955,904,008,291,
441,686,105,110,383,451,078,314,612,888,585,418,387,628,479,111,492,778,717,
065,672,487,134,688,618,222,730,351,326,895,921,226,853,674,622,156,594,160,
084,364,321,255,172,648,154,167,995,829,907,234,840,907,592,200,055,713,769,
191,791,198,188,782,530,638,711,490,383,295,012,658,850,190,399,186,389,192,
988,227,031,820,552,615,683,407,643,930,875,564,641,695,541,959,485,788,416,
108,376,598,717,231,461,515,714,325,581,816,301,752,419,179,865,545,087,937,
807,951,795,726,476,300,887,650,128,737,367,961,514,951,998,407,868,563,658,
031,946,961,929,820,380,534,114,492,382,931,243,144,535,340,784,900,567,865,
653,726,853,409,094,858,709,150,127,506,331,925,229,173,668,482,633,725,435,
577,180,776,532,965,490,006,028,600,671,062,365,596,151,664,854,508,494,436,
197,842,440,000,471,203,249,044,183,432,059,998,660,217,311,461,968,479,768,
251,713,292,349,040,117,020,882,527,901,139,709,427,239,006,582,310,755,740,
273,906,293,899,940,908,409,384,129,375,461,624,925,424,120,830,809,780,784,
509,220,185,002,924,006,369,545,367,669,735,479,657,022,259,990,293,571,397,
896,195,637,981,003,877,588,284,655,357,984,698,562,661,467,740,324,928,171,
762,585,839,141,877,266,145,458,857,309,502,877,563,901,224,020,234,252,985,
768,804,632,547,756,552,149,070,721,410,006,691,487,918,628,403,448,322,330,
623,409,939,553,224,543,730,783,698,884,673,845,818,567,312,115,962,794,626,
345,768,145,958,706,156,703,354,909,538,219,351,816,902,846,244,729,033,742,
565,255,741,272,450,299,071,884,162,027,961,516,889,465,471,288,079,824,102,
839,400,520,057,923,234,009,607,046,254,613,644,384,027,935,951,298,075,899,
290,989,033,396,005,632,585,390,037,349,288,273,076,042,403,076,863,394,277,
369,209,592,944,963,740,309,685,793,000,412,766,933,701,478,976,395,148,508,
794,302,454,811,764,008,824,088,741,725,932,887,102,068,804,210,655,380,703,
128,692,900,785,774,405,368,151,695,191,885,748,068,122,784,043,798,899,908,
864,859,015,350,492,393,078,574,337,224,240,452,061,877,920,015,061,251,221,
770,162,777,185,596,497,670,424,671,548,693,240,335,854,413,950,392,282,877,
052,972,858,376,092,859,883,478,518,518,344,340,278,627,904,041,257,851,189,
432,711,533,747,903,472,753,506,119,804,368,701,301,017,546,562,908,740,410,
234,753,765,277,281,594,242,633,312,118,119,765,263,920,407,512,265,397,237,
148,873,675,422,513,231,586,604,055,639,128,017,310,521,880,470,151,747,355,
611,340,332,118,306,438,608,388,551,520,256,924,779,297,057,243,832,745,597,
095,749,613,884,816,629,553,004,862,445,366,094,979,484,603,810,580,895,382,
500,735,280,599,906,234,549,499,467,787,541,284,711,129,379,345,196,585,237,
378,157,792,497,546,699,501,754,777,444,868,454,797,466,119,718,883,048,843,
786,592,788,740,348,628,584,650,122,803,388,245,364,486,498,598,785,421,340,
708,144,177,921,280,053,586,131,846,039,618,246,094,713,162,016,317,660,018,
752,164,384,896,027,121,459,030,095,439,613,148,733,039,981,214,785,612,209,
757,725,067,896,960,414,427,541,123,927,681,162,481,427,128,608,881,200,602,
093,087,064,347,372,295,354,010,310,980,213,288,671,905,469,493,086,347,059,
801,219,926,475,798,182,813,258,036,260,299,799,745,554,584,622,570,878,479,
537,914,937,523,283,775,360,086,558,544,337,913,196,979,487,409,166,179,227,
451,900,049,961,147,944,609,404,333,843,678,117,728,754,628,549,654,118,447,
785,344,533,032,599,780,774,555,804,101,276,367,910,351,773,388,445,995,686,
592,057,734,779,274,373,422,293,818,235,905,952,022,386,806,800,784,590,863,
798,632,288,525,492,404,647,329,927,077,038,459,430,986,116,995,398,759,386,
172,152,925,527,764,266,559,712,595,076,517,605,067,000,027,935,470,275,681,
695,929,577,901,940,965,252,829,596,759,133,420,846,422,978,055,107,332,721,
534,850,100,349,585,603,771,536,319,827,501,517,166,599,996,568,924,870,872,
804,094,426,667,876,053,028,905,137,750,453,244,874,170,549,436,734,644,799,
918,353,574,134,224,461,088,773,686,327,434,339,636,392,068,294,114,720,144,
235,300,340,180,375,002,205,841,762,743,585,149,590,118,727,122,016,211,673,
216,905,427,532,205,141,368,258,327,197,391,702,213,938,358,701,596,673,458,
331,549,408,117,226,288,249,972,388,789,297,889,869,736,005,257,081,443,803,
596,034,803,267,281,375,858,144,331,226,736,913,892,626,039,607,136,206,329,
206,241,726,900,700,433,890,710,228,180,791,883,442,054,562,300,210,772,284,
651,269,240,748,185,845,615,704,362,579,452,753,791,845,454,317,825,786,849,
294,149,728,632,808,317,662,418,440,394,928,943,834,934,942,050,201,285,882,
936,692,776,083,598,579,287,468,668,808,282,998,643,667,261,412,850,120,484,
677,004,609,756,961,029,463,829,739,459,235,822,208,949,147,429,165,679,587,
356,153,023,337,827,210,188,662,762,050,125,543,809,846,954,543,330,607,526,
327,753,797,634,456,040,847,292,782,043,353,899,400,447,176,900,622,271,232,
171,627,021,094,995,408,272,995,783,001,663,523,318,908,701,305,622,114,818,
973,722,145,104,156,422,777,628,149,754,056,677,986,060,169,157,024,358,937,
584,544,599,248,005,539,468,199,651,840,108,553,026,158,496,510,469,340,558,
503,504,984,798,339,513,351,165,867,743,020,098,768,990,643,755,643,284,612,
838,378,627,250,397,055,155,366,999,539,515,914,020,711,020,332,248,750,139,
131,070,875,327,687,994,663,718,563,589,776,152,640,161,687,778,040,632,795,
435,605,456,259,451,220,274,913,157,045,995,035,961,618,135,797,147,454,389,
602,136,466,692,585,601,568,211,720,734,723,922,702,744,300,973,695,726,378,
894,338,483,902,236,808,958,270,078,011,438,773,263,692,048,504,313,543,669,
874,123,664,233,114,426,653,618,467,180,394,240,946,007,689,814,303,521,787,
128,432,307,986,403,950,898,778,955,470,643,499,681,633,184,033,562,361,084,
336,416,893,925,795,287,622,347,060,226,244,065,805,974,497,440,685,369,010,
142,804,295,555,023,085,526,113,135,099,974,321,544,115,577,621,493,229,681,
446,490,085,197,583,058,514,484,430,978,234,441,709,775,723,378,857,591,499,
716,127,990,422,567,393,111,517,528,226,926,087,481,871,567,800,821,557,053,
794,658,028,221,881,858,713,385,233,107,201,004,640,678,724,197,758,376,673,
903,361,027,460,581,726,959,547,918,458,538,155,843,095,268,921,846,961,410,
741,558,225,664,075,545,554,289,605,201,282,914,054,057,558,919,213,328,437,
477,032,954,022,962,383,992,838,144,448,666,475,237,502,487,394,056,033,793,
032,152,311,812,505,329,379,307,988,251,611,995,459,158,035,742,966,678,589,
213,306,973,533,683,096,494,791,933,927,761,455,433,149,526,605,614,934,111,
712,040,266,467,699,782,281,680,122,053,357,972,271,794,273,560,955,557,243,
880,706,032,805,813,497,828,248,212,758,046,390,446,037,566,195,712,744,666,
842,788,608,861,109,536,668,352,298,945,458,575,267,904,377,716,855,135,745,
539,917,740,768,427,496,482,050,564,646,681,268,085,197,370,431,072,908,322,
987,656,370,585,044,747,026,553,356,011,252,063,190,261,776,238,207,307,771,
971,901,030,429,110,856,286,840,126,985,905,318,587,956,272,478,748,649,047,
225,686,413,041,470,977,567,553,491,574,495,854,731,931,675,202,826,594,686,
120,500,922,203,230,425,279,334,748,835,249,554,387,411,011,357,449,357,703,
156,808,386,354,931,353,751,100,228,785,417,550,754,220,669,945,602,941,754,
309,381,869,522,094,922,509,933,315,123,132,467,303,239,611,495,165,943,153,
433,633,661,096,128,002,470,154,748,419,710,108,906,070,077,652,331,040,035,
098,577,261,037,463,622,542,283,657,799,046,924,955,179,338,304,478,580,734,
312,218,268,235,626,922,617,369,875,597,244,841,274,370,115,730,212,740,977,
915,917,875,632,878,153,621,806,707,641,206,138,523,189,863,241,608,028,948,
144,578,783,524,675,245,256,276,116,279,999,778,644,894,020,658,365,811,194,
083,903,867,753,158,770,892,062,458,923,670,859,175,541,404,097,559,845,616,
373,175,119,318,621,555,831,902,019,264,263,283,906,732,108,757,170,159,915,
683,620,357,621,761,539,402,517,003,675,674,701,711,186,659,913,043,754,005,
310,458,648,163,451,570,953,252,216,375,506,994,642,422,853,465,898,632,861,
328,284,559,518,807,500,021,028,582,943,340,924,618,293,678,797,781,348,656,
895,822,994,798,428,827,604,333,083,942,085,800,266,263,125,741,705,980,184,
944,371,401,119,103,863,971,862,341,044,952,422,901,527,360,965,360,624,054,
253,304,436,115,595,755,964,641,703,460,377,973,229,263,268,213,024,978,421,
925,226,489,863,823,003,719,809,198,161,487,262,903,420,544,046,774,640,688,
376,504,274,058,175,161,807,174,953,121,240,361,909,123,828,734,381,407,410,
540,674,932,172,698,781,880,996,107,806,630,397,137,497,066,078,797,569,194,
961,086,333,475,539,201,939,889,418,181,029,418,517,437,329,266,093,915,801,
051,764,607,801,529,857,972,703,199,382,961,133,201,131,578,972,384,382,923,
163,628,563,810,046,269,486,700,668,542,007,670,674,925,066,146,368,861,066,
904,424,559,452,029,805,083,264,844,845,730,815,794,970,029,544,934,096,883,
394,706,356,184,749,702,950,943,010,603,447,084,507,226,336,470,710,375,979,
830,278,598,551,225,154,292,683,214,945,453,052,826,314,585,312,766,823,712,
679,964,240,824,587,451,992,736,209,467,531,565,864,481,569,931,367,815,931,
732,560,323,843,799,458,796,805,161,519,221,881,744,049,676,910,430,554,505,
837,297,808,720,591,029,052,851,740,400,313,956,138,172,368,473,002,723,087,
710,652,827,180,144,316,418,551,186,661,148,123,344,710,798,999,995,344,163,
907,609,928,748,617,065,141,899,010,234,193,907,791,864,201,184,477,916,373,
607,986,422,579,077,017,104,667,086,365,604,980,856,700,948,298,600,998,971,
331,741,512,776,514,582,208,545,039,198,196,576,184,400,134,835,999,419,206,
065,173,101,762,819,337,435,189,190,403,191,853,062,035,893,375,327,873,748,
966,086,014,711,066,492,547,163,853,347,183,038,164,893,936,332,352,084,780,
731,314,022,187,853,655,461,035,692,595,074,473,963,994,770,584,237,032,334,
087,535,006,628,333,785,309,088,128,657,493,219,666,759,979,269,475,179,948,
490,875,292,965,190,386,459,283,614,797,682,769,936,396,623,049,761,923,115,
484,842,863,214,374,992,840,062,913,121,572,269,618,828,212,423,691,322,366,
647,955,992,121,570,484,888,320,257,966,207,836,174,918,000,673,130,883,276,
750,485,537,848,838,950,183,203,322,238,569,129,991,540,243,029,992,948,801,
799,876,565,556,070,262,262,727,137,595,706,053,010,841,446,299,423,069,791,
506,745,216,219,220,868,223,374,052,480,058,315,223,116,763,513,532,649,079,
134,445,088,542,136,404,692,634,021,861,922,410,977,879,244,106,513,950,136,
233,037,091,733,306,626,534,773,379,872,145,344,151,325,092,290,447,173,369,
898,704,518,785,307,456,152,195,376,192,234,347,058,366,530,203,289,776,827,
696,075,913,204,965,005,161,673,272,070,532,393,198,329,437,610,651,549,772,
481,241,844,567,575,627,938,732,786,253,539,301,683,984,531,857,610,095,161,
407,355,318,129,118,158,296,141,766,682,880,101,690,495,845,572,508,092,252,
012,039,430,926,693,248,798,894,190,650,104,998,211,335,977,551,175,712,050,
904,193,720,029,699,843,348,710,054,579,182,575,578,391,141,314,100,875,233,
172,709,977,042,027,547,040,637,274,141,693,707,917,095,307,285,229,246,327,
707,590,859,169,520,547,794,427,797,312,336,034,429,127,929,028,601,385,295,
735,651,492,668,411,478,578,968,242,194,987,703,082,623,496,154,343,817,127,
703,091,599,495,694,943,122,812,119,014,385,073,221,221,227,081,026,038,746,
889,118,111,414,504,061,289,688,593,495,864,055,123,515,179,310,177,229,675,
596,772,442,635,849,519,823,127,119,463,150,064,864,257,309,373,202,558,541,
009,443,597,095,010,635,729,304,582,927,985,542,158,630,714,763,443,729,505,
978,827,117,849,985,220,700,542,607,857,704,056,236,268,203,678,026,219,031,
051,208,826,634,261,160,326,790,078,612,379,240,934,291,808,311,381,889,423,
758,332,020,325,385,708,318,401,977,256,235,146,571,561,416,132,039,125,980,
128,703,222,124,960,495,878,163,549,206,072,329,197,023,117,300,767,821,103,
593,295,097,564,016,407,908,308,791,177,672,230,955,625,870,066,614,565,589,
120,445,065,207,986,863,493,361,718,586,331,358,719,315,382,089,050,410,147,
283,229,712,477,250,517,259,544,366,421,150,289,888,212,802,171,284,086,385,
609,311,580,177,383,594,787,175,876,784,767,620,528,556,766,182,406,961,455,
961,505,249,227,322,543,517,942,859,403,682,741,149,064,630,588,455,376,272,
635,938,924,906,515,018,703,090,060,132,985,779,456,364,848,139,288,939,756,
836,252,491,734,265,145,129,622,419,359,670,822,593,901,048,152,826,918,230,
399,133,575,092,418,376,601,762,300,444,962,622,942,318,570,107,894,316,624,
963,323,796,741,786,310,865,111,901,762,876,839,076,935,045,881,133,648,944,
677,594,719,744,669,872,771,055,734,611,827,219,071,247,770,577,847,230,944,
984,719,485,041,268,464,987,324,279,393,830,443,824,287,889,131,394,829,031,
290,812,724,810,970,145,477,088,400,695,367,913,192,102,943,744,201,993,526,
576,964,557,817,483,811,104,211,464,947,692,094,796,121,021,748,743,649,734,
850,073,443,509,916,670,547,608,434,485,675,802,565,903,484,072,314,468,007,
592,705,440,627,034,026,159,385,025,328,662,569,576,018,075,029,979,757,505,
991,911,179,852,906,340,468,363,179,774,474,086,497,526,204,246,677,898,786,
555,506,817,298,513,101,429,938,260,530,694,447,156,515,060,561,293,617,397,
924,195,983,002,638,991,252,519,010,390,166,213,845,710,029,271,314,993,565,
765,883,813,468,881,765,990,036,737,535,117,476,353,427,932,344,526,689,091,
115,379,503,057,099,913,630,549,728,254,256,159,873,041,469,367,296,313,061,
161,994,143,032,073,267,438,000,994,457,373,611,136,752,603,220,400,233,335,
393,410,978,736,220,778,970,666,965,109,794,345,578,425,510,609,204,947,313,
019,610,010,658,035,231,321,361,645,807,447,031,855,102,415,407,903,827,014,
391,647,158,587,267,586,092,129,692,557,290,378,714,483,096,373,541,940,156,
225,711,500,246,837,818,845,974,378,977,494,535,506,265,089,387,219,896,382,
541,894,606,889,911,682,747,365,298,930,458,645,685,417,320,212,207,354,614,
308,941,362,293,730,055,626,972,481,420,876,071,505,461,047,423,714,859,309,
254,262,233,689,842,141,207,609,223,269,936,655,215,123,062,945,373,241,790,
562,063,345,321,049,852,774,965,341,002,412,668,748,264,068,725,251,860,189,
767,687,651,971,500,651,183,046,185,120,825,641,961,472,246,294,278,513,328,
425,036,534,630,156,593,449,287,691,354,174,735,280,529,808,452,297,878,390,
633,682,895,659,108,698,232,300,655,076,655,985,959,155,494,830,842,628,029,
830,900,586,315,200,582,928,777,337,303,070,009,885,500,378,276,706,822,962,
505,832,773,277,619,750,007,255,136,645,531,890,674,344,900,607,020,334,962,
996,890,254,307,934,376,840,705,901,519,829,013,011,804,545,768,529,502,529,
323,045,176,036,122,560,410,864,447,152,686,476,321,821,301,077,253,195,016,
845,057,596,960,932,004,962,729,285,900,216,894,269,078,703,201,877,905,421,
595,333,302,118,988,330,026,062,306,179,841,085,737,112,131,066,581,933,488,
998,101,411,213,043,206,451,559,403,597,754,384,821,886,179,374,602,827,665,
730,286,972,522,693,747,507,265,225,834,725,649,236,572,621,994,688,239,766,
656,704,860,707,429,804,553,020,946,090,447,295,503,087,908,403,542,411,543,
757,623,078,838,174,992,978,242,064,853,500,525,387,026,142,167,314,455,548,
686,882,971,844,717,009,251,798,817,837,652,283,761,143,352,850,877,180,630,
365,674,045,324,621,185,318,332,669,613,537,437,873,934,891,919,310,025,769,
417,797,618,099,916,926,026,417,311,612,284,113,378,946,293,097,323,244,827,
308,490,864,323,836,650,571,168,748,156,553,253,351,214,072,493,359,641,370,
998,499,729,146,927,140,270,276,328,537,542,698,343,903,033,346,025,378,421,
721,511,760,158,308,822,735,587,704,383,579,965,372,044,597,801,281,788,423,
328,736,294,349,474,345,418,431,060,294,325,249,350,699,398,540,610,227,808,
824,375,809,387,691,212,391,675,133,864,276,008,860,328,625,597,174,705,907,
286,844,571,798,969,516,658,172,341,669,826,644,939,330,913,644,847,248,945,
160,969,917,659,948,812,606,022,834,620,175,424,066,916,613,785,115,572,443,
514,064,748,476,834,167,326,551,480,241,674,757,222,120,886,321,271,252,741,
424,584,351,441,442,378,850,320,678,938,428,427,160,683,080,849,480,004,356,
674,849,478,843,602,677,720,102,936,612,920,246,936,635,052,359,736,259,410,
930,173,928,548,384,723,863,131,379,826,820,253,760,959,566,954,319,666,256,
537,721,675,142,062,535,332,713,286,699,976,864,654,836,312,530,682,897,432,
954,117,008,285,954,492,253,019,308,641,389,737,940,646,667,881,852,726,688,
572,267,613,230,880,108,753,182,692,980,047,573,959,910,176,574,091,121,956,
140,746,227,950,666,125,895,187,768,960,751,481,914,131,200,783,316,885,482,
656,640,408,634,285,452,073,744,033,392,190,248,170,355,906,214,978,921,949,
258,569,793,143,587,979,945,087,129,030,800,560,489,438,529,967,040,685,988,
103,507,643,140,451,234,597,091,075,553,596,851,407,487,525,165,950,600,527,
818,719,130,315,140,121,014,980,179,511,429,498,762,204,208,615,983,708,926,
144,895,956,272,101,726,711,501,893,954,074,413,071,370,669,534,742,610,751,
326,066,237,705,127,139,922,111,784,500,115,766,890,448,398,799,498,722,636,
048,560,394,172,606,883,421,184,360,147,736,590,230,547,081,445,624,026,789,
945,947,750,480,349,391,576,392,328,574,097,159,712,696,064,042,054,983,850,
030,768,817,806,485,001,643,464,849,085,931,212,576,742,537,778,183,103,338,
880,048,235,302,923,519,225,196,184,136,962,860,110,644,983,321,128,217,922,
104,327,122,330,746,483,312,036,178,366,512,560,222,124,227,556,277,696,069,
080,280,838,293,922,224,070,380,015,319,695,676,693,148,122,793,639,702,813,
024,894,849,501,759,189,241,352,791,278,114,837,440,091,917,034,768,429,045,
487,771,288,775,971,394,800,608,922,782,793,904,241,780,395,551,088,765,830,
305,878,559,190,855,208,905,204,161,979,764,361,212,357,506,778,504,552,113,
689,215,877,873,963,805,492,163,737,389,200,359,142,800,597,725,517,052,281,
862,813,148,435,049,095,600,598,383,771,704,501,229,141,299,709,914,003,360,
504,264,900,549,404,760,480,374,742,091,084,204,084,923,128,728,717,798,619,
869,814,848,652,171,125,874,687,076,121,821,114,464,910,378,375,829,415,658,
784,657,953,916,247,213,166,067,227,046,055,607,084,914,222,674,468,339,404,
490,597,405,775,083,062,994,645,415,555,068,895,584,805,944,332,582,277,844,
387,598,480,303,660,815,989,652,854,224,019,321,445,037,736,129,180,057,838,
712,867,323,216,441,305,192,532,595,761,435,034,814,659,123,020,248,765,279,
733,169,240,837,657,966,735,100,926,467,723,402,743,402,768,393,743,219,491,
723,539,928,099,284,069,135,263,820,975,998,514,754,478,071,104,194,987,777,
195,165,442,838,274,636,086,874,089,418,925,783,674,303,917,790,708,398,142,
621,201,723,813,806,302,086,753,413,123,989,652,011,219,294,837,410,320,161,
203,081,121,408,375,621,675,186,897,948,530,025,482,323,982,381,247,474,886,
058,260,010,955,016,559,223,028,626,640,424,525,710,639,855,650,722,055,168,
261,546,995,315,414,857,461,263,103,133,867,610,124,083,685,794,024,795,623,
451,794,977,467,444,728,951,052,786,709,730,342,653,485,613,670,933,956,774,
584,469,292,214,068,356,795,819,788,998,913,065,166,630,934,099,029,274,282,
071,734,558,160,690,093,228,783,299,600,447,570,764,294,004,647,058,196,625,
283,139,821,420,881,438,779,418,742,480,646,557,531,362,186,816,098,445,388,
177,458,633,970,552,086,988,002,991,878,097,908,994,799,403,740,827,123,881,
864,518,533,275,595,501,667,471,582,374,476,780,076,654,120,790,187,331,110,
529,895,072,311,254,321,126,575,806,112,055,721,673,616,875,243,123,132,499,
303,272,118,940,885,847,233,581,075,336,661,066,049,246,887,581,848,441,814,
377,633,724,466,358,758,406,665,215,748,933,784,811,415,910,965,050,363,239,
841,337,752,025,074,906,816,751,901,573,557,061,160,069,466,490,154,209,250,
216,423,105,699,253,793,759,868,792,633,395,550,544,190,644,865,088,453,287,
756,678,256,159,876,962,961,254,321,573,012,093,590,977,718,520,459,534,037,
115,225,753,026,169,483,365,513,577,742,414,930,316,952,857,906,575,887,837,
244,716,087,805,622,827,314,103,510,696,860,130,337,022,556,938,880,884,392,
431,134,987,845,076,234,924,194,388,896,887,424,557,411,049,637,384,261,347,
037,898,548,980,944,917,971,050,626,983,707,624,918,149,544,319,521,335,422,
619,191,666,838,074,074,113,998,517,061,023,902,996,367,017,343,466,373,914,
958,832,198,742,426,635,624,188,067,203,243,393,397,868,729,364,740,427,639,
085,422,362,091,071,469,120,630,751,585,690,714,359,054,254,319,862,404,592,
258,600,955,270,362,057,805,593,547,242,521,046,400,658,940,168,839,630,925,
394,087,194,555,376,249,555,872,217,396,674,931,940,245,201,263,543,717,410,
812,351,233,273,903,181,954,748,387,758,889,749,515,794,517,226,171,998,963,
291,063,608,840,342,104,143,985,660,007,414,168,951,276,393,795,441,879,114,
709,804,032,878,133,862,516,851,110,234,180,360,877,840,435,707,418,633,865,
103,630,043,534,064,358,899,098,739,134,913,523,946,576,241,623,983,596,580,
379,637,698,758,374,967,211,033,750,222,918,147,250,290,862,448,213,841,253,
423,536,681,784,616,469,858,806,715,585,433,368,866,388,771,336,018,573,409,
974,086,789,821,943,113,153,128,788,528,107,628,878,704,457,093,328,124,672,
365,580,474,376,569,330,640,646,125,477,092,044,209,126,009,539,399,247,015,
795,445,557,016,786,233,594,205,265,262,259,947,153,304,324,851,956,633,862,
824,801,218,609,304,089,774,472,511,946,050,574,633,751,281,061,988,059,132,
069,335,775,052,166,356,871,152,765,329,305,352,910,272,823,334,936,616,274,
437,567,684,804,125,338,918,972,745,004,877,311,658,008,189,423,105,038,922,
083,189,916,122,338,361,933,863,270,404,610,252,371,169,172,221,920,421,477,
040,977,140,089,643,492,898,933,884,144,037,669,178,077,715,408,552,418,896,
634,264,088,274,606,874,858,147,195,920,209,941,735,565,692,215,433,520,832,
354,690,795,009,274,491,295,998,872,688,993,552,168,804,004,133,564,806,650,
499,805,582,565,675,027,432,595,942,327,642,722,899,353,470,579,147,483,391,
229,107,634,522,276,851,517,839,450,960,186,101,505,275,640,084,659,357,282,
360,761,659,010,422,888,965,843,608,006,597,499,630,590,827,218,413,603,574,
425,261,313,718,737,840,097,735,173,711,553,686,750,719,588,022,565,509,521,
969,011,948,967,209,222,758,673,000,524,245,993,726,068,126,811,134,053,424,
258,596,400,594,878,590,160,809,120,367,873,087,026,016,734,262,116,057,166,
274,656,117,082,328,339,026,538,665,143,889,142,158,573,937,725,667,184,841,
153,339,037,767,540,555,355,357,193,267,855,001,158,537,958,965,648,894,130,
580,617,963,834,369,927,175,324,577,221,433,332,137,148,700,671,855,045,921,
576,435,313,880,244,359,327,241,997,030,369,602,786,657,712,291,255,385,710,
997,248,624,431,817,358,658,947,642,708,550,114,879,101,350,301,019,173,293,
896,206,511,202,774,182,920,092,847,629,611,923,488,426,764,812,661,293,428,
418,591,494,544,180,775,320,493,799,572,276,010,409,927,933,192,245,557,322,
798,874,102,539,763,116,702,096,297,670,608,985,914,970,315,430,569,780,414,
622,614,353,979,530,163,212,564,393,155,917,388,462,412,615,009,434,385,086,
381,585,433,915,593,128,620,951,315,315,971,713,241,855,873,076,517,444,654,
381,512,213,195,251,350,986,000,839,888,408,387,563,991,127,051,193,129,839,
623,360,126,391,489,544,233,982,175,817,280,440,631,321,740,543,250,723,829,
074,948,724,586,852,557,735,796,780,978,561,006,252,006,795,401,395,859,825,
140,043,484,233,346,869,490,436,287,580,661,776,412,409,175,966,250,399,876,
996,397,279,980,336,385,927,342,136,885,308,886,863,829,666,371,587,497,389,
534,361,494,026,820,268,537,492,605,315,527,184,009,513,073,918,696,010,370,
677,520,184,482,558,424,590,574,306,352,835,731,821,657,026,099,951,825,165,
650,695,726,153,128,769,853,536,175,872,933,765,371,851,672,995,570,633,194,
944,018,879,431,142,581,354,742,006,531,078,450,953,082,882,585,662,969,160,
250,574,470,796,677,461,002,806,429,815,418,552,397,226,098,594,695,676,192,
708,985,767,985,888,101,119,529,061,443,077,599,549,934,191,660,749,785,470,
685,765,668,911,330,650,673,986,596,667,663,702,025,049,459,270,579,422,531,
905,667,510,952,268,502,151,227,337,511,682,480,738,545,987,445,412,444,627,
014,761,200,767,939,010,842,132,347,629,923,393,829,478,348,210,283,494,947,
914,754,437,509,228,409,970,586,293,138,187,265,745,240,801,103,308,153,207,
758,712,914,276,618,473,617,732,739,448,525,630,873,877,323,149,610,000,626,
033,771,218,825,286,177,577,583,026,250,753,534,321,327,164,463,307,476,630,
287,563,113,787,789,739,656,743,550,937,808,615,844,193,257,101,450,362,495,
728,628,471,976,364,358,381,238,410,496,816,573,413,135,314,253,058,961,925,
800,422,192,180,986,314,119,916,346,385,135,660,327,386,617,255,116,521,749,
329,031,239,861,956,466,615,966,293,510,463,290,992,471,690,784,930,297,390,
964,821,284,271,882,219,229,202,615,462,153,337,101,753,699,567,459,009,205,
303,732,284,489,538,059,265,170,686,360,338,717,470,564,016,270,061,736,961,
931,662,020,843,402,489,906,533,730,079,026,222,288,362,846,968,564,558,700,
132,992,595,837,905,963,351,956,086,322,001,665,820,920,524,707,539,867,416,
948,207,363,824,483,756,975,481,098,292,740,650,090,311,902,532,414,777,524,
241,279,800,827,918,452,505,874,932,934,504,232,309,292,359,767,884,448,244,
887,627,968,452,562,263,468,532,913,121,441,320,706,509,152,258,685,950,318,
171,411,869,871,819,741,765,799,170,255,903,977,491,989,763,703,836,771,702,
945,010,613,973,282,561,208,279,102,778,098,055,614,043,412,264,642,478,642,
921,125,307,607,848,040,113,570,566,147,271,651,407,537,906,727,075,741,463,
042,441,960,256,670,721,443,500,119,682,321,945,174,523,235,853,234,929,634,
681,864,132,515,636,691,329,181,202,249,052,751,938,256,465,376,374,088,449,
184,752,819,617,038,308,538,634,917,230,920,543,335,162,454,597,259,162,526,
012,176,572,918,206,051,581,732,132,392,814,476,306,083,639,453,804,691,997,
959,981,143,185,427,967,012,125,361,814,450,969,457,659,575,577,643,124,445,
366,304,204,182,863,066,770,911,564,531,922,442,826,206,362,140,613,716,833,
829,469,016,116,590,053,714,997,989,426,414,750,699,534,814,908,297,080,210,
766,470,371,699,124,257,855,366,109,328,024,221,129,051,138,164,482,354,473,
289,666,952,490,262,179,032,426,112,527,610,863,430,009,215,613,224,819,823,
866,424,484,112,872,541,798,090,553,422,210,652,870,221,755,769,190,302,532,
555,780,685,775,263,749,166,628,271,123,555,042,667,609,783,761,849,773,846,
196,591,590,995,195,800,527,041,545,074,062,589,415,359,868,607,014,395,508,
041,254,560,661,338,571,540,123,746,806,086,074,328,196,692,305,973,093,467,
153,295,994,899,843,451,019,823,626,973,873,189,746,819,167,106,929,842,625,
568,997,510,764,221,040,624,640,321,366,979,070,166,726,236,141,650,156,350,
626,455,824,886,257,454,973,430,739,628,226,006,371,353,325,579,055,442,151,
955,493,261,504,111,932,598,429,742,388,955,134,311,592,840,066,372,741,233,
410,921,570,469,988,927,285,505,222,871,296,921,883,927,737,945,894,940,121,
629,446,843,779,683,435,244,082,384,929,711,220,820,451,053,308,933,475,708,
272,888,733,790,557,445,080,689,023,380,771,718,965,559,481,018,596,341,047,
717,427,279,457,964,261,810,730,582,659,941,639,349,543,193,223,361,064,203,
651,339,474,217,145,427,758,012,904,488,542,121,548,018,949,068,621,648,829,
105,887,197,658,380,533,982,844,115,922,964,693,371,045,841,519,642,275,473,
132,348,157,690,643,703,773,070,516,220,891,162,058,024,478,674,437,004,216,
615,614,167,491,189,834,226,053,465,666,441,434,537,042,479,716,146,246,555,
771,296,916,273,784,906,521,627,614,991,624,250,520,585,213,080,468,162,715,
460,149,882,457,394,737,427,253,854,388,608,767,132,913,550,264,351,484,106,
279,080,136,070,421,767,320,675,952,587,335,096,771,067,867,734,398,030,199,
484,716,576,004,333,204,472,569,598,194,750,454,397,293,414,448,442,352,511,
238,231,336,576,046,050,444,279,433,285,084,112,878,280,784,720,202,343,924,
886,296,684,710,795,013,653,907,074,143,457,813,416,892,045,658,606,281,479,
445,492,529,994,081,594,448,447,535,726,875,223,570,293,870,846,170,354,166,
430,766,468,891,088,187,974,927,760,080,198,302,542,598,869,791,061,319,475,
782,866,214,101,383,774,615,866,841,434,136,775,844,021,032,776,355,814,315,
990,316,295,723,499,787,878,703,058,711,191,425,384,032,452,211,831,521,518,
285,723,545,604,815,730,154,424,838,786,472,273,491,760,337,282,678,724,626,
178,469,431,401,932,312,641,596,111,096,805,254,920,944,036,918,760,342,660,
883,166,247,781,206,681,313,189,632,132,091,525,419,286,959,770,431,673,819,
640,410,445,023,355,893,484,167,697,228,529,928,813,964,946,312,510,414,417,
376,735,943,097,966,305,372,332,537,835,766,971,946,515,998,944,003,505,643,
854,051,751,927,542,338,621,001,683,530,528,386,667,987,816,367,292,037,662,
787,764,865,573,347,577,080,106,360,152,303,396,971,430,401,865,279,578,348,
230,296,271,852,689,157,529,295,742,842,508,184,283,446,472,557,300,695,034,
503,398,293,992,630,523,871,215,567,143,370,704,222,718,013,511,233,361,034,
134,600,016,074,954,082,648,605,744,535,391,760,562,084,437,992,351,522,289,
841,795,930,896,057,486,928,285,068,325,980,535,539,771,966,724,703,286,568,
383,724,268,616,744,873,716,184,737,767,913,959,683,582,569,588,256,864,842,
085,916,856,942,421,119,613,738,498,074,663,931,566,185,478,324,092,268,325,
305,223,700,133,785,034,815,831,245,819,695,770,610,814,850,147,667,508,704,
500,471,958,379,196,022,490,097,742,530,606,059,864,442,166,259,658,767,915,
796,309,937,651,671,599,089,978,210,922,179,588,453,079,392,646,565,601,519,
185,594,147,955,252,772,874,337,628,918,072,369,810,089,629,945,174,248,420,
065,179,822,887,791,461,060,530,500,370,589,076,432,637,207,242,648,578,501,
943,811,546,856,546,913,831,316,100,905,521,053,445,425,991,576,349,144,919,
360,602,393,752,218,780,364,187,054,956,731,440,673,566,561,796,367,690,397,
010,859,206,129,773,831,899,144,048,251,798,062,455,482,599,925,545,072,976,
744,637,937,750,729,780,165,627,620,283,607,102,758,217,517,093,836,986,604,
774,147,373,232,637,639,833,918,083,368,086,466,342,637,491,715,287,126,272,
817,733,773,019,218,700,982,952,814,694,975,554,395,749,845,345,883,383,878,
135,066,659,998,319,479,795,364,001,627,714,404,973,145,260,204,849,975,401,
148,779,598,075,487,349,051,777,856,629,657,975,674,303,413,949,864,060,892,
664,335,039,318,898,315,476,856,035,125,938,970,193,214,212,627,277,313,162,
817,020,512,125,765,987,338,951,352,324,961,753,306,474,771,134,654,196,708,
393,205,685,606,310,654,878,839,327,183,360,708,983,490,634,841,972,600,615,
243,375,770,289,740,835,636,332,502,196,381,125,640,642,607,113,518,043,989,
528,489,443,312,245,787,344,423,716,903,976,417,399,084,615,040,076,539,430,
127,664,953,911,583,152,399,063,385,224,312,512,538,411,310,358,148,578,427,
522,230,484,044,522,095,815,976,629,018,545,900,558,246,337,354,578,282,040,
112,304,081,371,811,363,464,372,480,080,397,183,324,938,518,662,701,801,162,
437,677,987,887,376,085,447,939,835,609,671,261,748,012,689,655,501,663,062,
365,482,866,189,185,257,338,531,019,324,813,340,382,379,104,653,595,307,644,
930,346,966,510,459,346,672,785,918,399,095,017,751,620,886,600,315,273,039,
657,581,876,848,906,775,320,841,154,587,639,443,403,619,086,791,623,384,248,
074,662,569,052,585,739,943,573,284,529,242,259,561,085,888,354,154,200,711,
073,653,602,908,803,100,914,349,641,039,066,451,038,935,592,776,529,057,804,
409,387,832,543,873,002,778,510,183,720,896,638,468,704,469,405,264,273,658,
162,841,309,732,696,416,362,055,003,394,111,430,998,753,479,329,555,498,751,
423,999,466,290,833,316,269,642,937,615,117,932,641,218,187,473,015,122,628,
538,765,086,126,668,275,807,701,084,438,303,792,856,272,991,605,508,901,844,
706,726,635,411,256,443,435,190,962,518,952,144,899,919,854,793,102,447,501,
544,124,270,550,354,742,140,513,921,116,178,880,736,770,385,904,110,483,912,
299,418,662,348,089,763,381,568,104,205,861,363,881,208,788,735,791,464,268,
445,334,551,179,707,486,498,923,977,955,117,851,016,347,156,160,170,150,265,
199,447,157,522,017,348,539,722,097,829,170,284,773,292,297,370,232,622,678,
195,959,692,699,329,203,553,549,101,914,195,680,345,297,548,295,043,783,548,
205,639,250,588,345,235,585,168,818,731,452,693,231,596,801,862,229,719,365,
326,722,609,710,620,056,219,134,865,053,513,903,674,514,323,993,408,140,490,
237,341,354,626,682,652,164,518,329,066,590,665,058,911,821,672,381,846,051,
695,445,807,654,442,729,318,402,951,202,254,046,394,696,192,431,593,703,886,
831,335,304,746,948,579,009,766,476,167,212,168,334,874,228,649,830,672,076,
053,637,702,522,952,732,843,275,152,362,816,992,605,644,742,055,797,711,840,
270,448,161,592,211,244,893,843,807,989,342,172,501,138,942,973,413,226,026,
762,960,898,400,163,736,676,814,514,650,719,550,348,503,660,148,717,769,563,
540,891,011,945,036,275,822,348,050,868,905,567,998,449,538,736,483,557,325,
240,182,104,746,036,506,523,017,496,738,756,851,475,071,517,700,674,657,229,
105,507,386,143,434,314,759,070,905,892,522,953,221,252,803,227,949,317,967,
982,481,254,376,548,514,666,595,299,020,429,554,431,910,000,145,435,822,553,
312,947,104,855,958,249,013,693,459,900,774,530,245,022,152,804,180,131,577,
610,298,791,814,449,954,777,988,458,841,492,666,536,115,497,295,013,646,654,
912,324,995,433,932,509,597,787,570,792,689,761,455,359,250,688,348,067,415,
290,894,383,700,825,510,614,392,932,496,218,462,014,985,942,483,872,236,107,
318,635,146,882,281,573,508,779,344,025,667,904,712,146,926,636,059,291,900,
435,004,529,164,140,744,267,732,899,535,003,590,013,786,539,111,885,091,233,
610,876,295,686,266,953,642,926,489,851,868,286,622,253,277,375,169,632,609,
678,874,421,494,771,294,571,848,160,413,584,422,918,486,212,826,233,370,188,
603,260,822,336,074,817,820,725,612,623,684,148,991,051,758,471,068,000,476,
697,687,245,439,793,496,607,511,812,418,087,678,291,531,966,974,814,663,339,
177,791,788,398,082,730,332,101,341,365,022,602,905,899,409,994,298,090,215,
856,903,458,831,440,981,555,463,371,080,258,541,223,496,571,243,111,220,183,
283,516,982,905,471,076,427,248,946,140,557,755,381,423,426,023,270,896,004,
023,862,935,912,710,279,115,753,918,531,024,209,425,374,310,160,341,501,927,
239,292,059,661,676,522,668,448,631,485,982,431,934,220,564,766,238,685,214,
945,321,714,042,315,195,181,372,819,514,207,340,520,202,982,431,199,506,294,
882,467,691,132,531,529,704,770,046,092,319,825,917,522,786,883,284,211,588,
742,187,765,382,455,889,580,433,105,692,085,171,583,426,025,915,317,536,662,
540,606,137,114,213,729,369,619,429,936,676,176,892,612,737,185,261,971,048,
674,645,377,240,811,029,757,648,532,346,193,503,226,562,224,698,814,657,341,
897,830,451,830,118,111,512,729,518,530,183,187,379,507,632,502,403,550,799,
268,945,271,067,060,873,296,685,129,693,301,400,084,297,492,654,338,539,742,
253,155,408,844,463,502,541,222,848,594,027,335,079,367,998,497,818,697,461,
825,123,517,894,286,336,874,656,317,240,316,563,027,086,330,476,243,488,266,
740,427,463,723,708,254,066,301,518,699,561,208,392,837,135,378,989,726,615,
762,550,162,059,622,342,760,524,387,520,675,870,257,020,830,438,667,808,457,
141,270,518,317,500,324,574,132,119,332,704,469,460,739,744,166,429,595,897,
480,772,957,707,664,228,222,888,910,925,046,484,958,752,401,629,647,025,036,
205,245,703,167,798,147,589,069,740,862,810,621,054,036,922,687,611,469,455,
910,229,191,134,976,274,144,374,505,506,737,254,860,395,749,283,139,633,612,
056,263,114,866,236,323,451,220,421,734,884,005,060,615,582,780,516,416,851,
988,892,726,863,660,680,642,985,799,938,228,213,015,764,341,987,875,182,739,
444,387,266,830,976,206,390,197,238,725,640,820,251,437,413,992,443,975,076,
707,832,332,449,256,908,219,440,157,802,085,430,299,340,848,547,789,077,759,
031,613,727,377,699,309,907,997,213,103,607,885,849,229,581,217,875,195,733,
374,617,467,289,198,213,767,152,647,949,157,720,212,298,404,007,750,064,556,
422,675,584,430,484,231,232,825,685,350,763,257,897,664,006,130,681,442,844,
233,913,688,331,820,737,647,583,197,607,197,572,688,176,700,231,071,164,755,
273,051,462,524,736,064,260,385,290,954,094,220,163,236,924,897,660,578,610,
111,882,929,879,630,260,707,932,835,995,330,313,565,963,478,922,234,003,160,
435,522,096,960,789,886,225,697,491,272,492,227,183,239,693,714,110,727,999,
404,153,191,172,144,732,594,966,219,938,795,993,709,772,179,809,821,179,287,
364,050,970,701,854,087,245,850,572,663,575,495,703,602,575,239,802,970,146,
532,675,413,611,398,812,704,064,059,981,019,793,713,358,000,641,112,986,636,
217,275,383,974,542,503,371,079,482,194,007,996,617,372,348,977,290,319,052,
818,245,334,959,744,924,067,593,594,651,571,296,772,873,365,403,340,775,917,
572,967,157,353,476,462,630,071,308,453,426,062,774,581,926,719,409,131,075,
678,437,199,853,930,065,432,976,299,757,161,124,533,629,421,473,957,971,736,
192,228,309,544,581,175,319,577,196,623,675,619,329,277,853,661,348,280,052,
343,622,227,802,027,661,963,819,420,182,841,496,987,457,077,122,021,076,039,
475,199,135,020,792,786,042,797,449,106,124,655,955,690,406,574,556,242,368,
829,171,187,018,115,583,118,340,610,071,296,552,515,581,653,988,798,715,620,
319,501,449,680,205,972,557,290,827,285,607,650,831,236,193,462,999,794,901,
012,227,280,530,059,069,314,913,488,522,521,418,904,275,039,283,190,444,428,
550,626,741,569,389,421,082,308,051,601,547,741,518,384,242,040,051,384,703,
590,731,196,915,278,576,892,484,868,826,255,944,071,177,339,713,176,466,981,
100,139,814,419,217,008,855,592,555,942,395,910,124,029,757,102,576,751,141,
231,611,775,988,154,561,990,463,194,071,352,807,229,085,195,407,292,126,628,
975,487,804,325,071,945,049,502,760,838,821,553,823,439,925,136,582,270,998,
855,284,657,506,901,735,719,653,124,878,124,129,766,338,476,333,632,937,958,
400,231,280,961,421,586,944,610,648,148,180,860,042,135,061,005,886,336,755,
854,622,555,974,851,453,187,026,563,182,162,477,452,635,612,791,570,823,836,
090,186,297,694,995,434,143,297,986,877,654,275,619,549,118,823,473,313,941,
224,728,025,945,247,061,322,430,308,615,383,970,820,426,047,422,573,173,999,
357,785,987,617,054,834,850,356,397,367,569,591,269,751,315,034,265,916,405,
338,207,288,787,618,430,602,801,377,852,304,307,712,716,886,530,876,041,639,
716,240,029,884,822,738,761,083,208,686,356,346,962,209,989,125,632,538,350,
702,675,673,589,698,769,162,202,439,974,325,554,094,393,029,944,003,334,869,
034,146,218,194,013,671,372,261,160,464,628,222,001,175,435,941,227,801,447,
081,026,135,446,296,638,413,312,851,895,586,296,078,916,672,512,063,472,043,
031,188,276,605,746,113,171,019,441,904,277,662,584,294,363,093,428,848,496,
685,332,932,938,180,686,900,442,493,348,288,469,107,275,309,137,932,129,159,
666,308,541,483,391,803,777,368,817,706,888,658,873,283,829,769,186,123,271,
519,922,520,602,830,834,343,968,714,360,150,052,042,592,360,413,892,964,759,
099,402,712,835,996,499,619,360,013,119,028,237,307,516,094,758,368,372,164,
051,296,774,045,023,650,463,650,135,928,631,421,622,493,785,640,742,570,228,
543,650,564,722,001,979,536,404,326,358,215,930,560,908,442,217,282,619,240,
729,817,608,130,144,440,956,124,288,061,942,148,818,535,579,795,259,883,447,
152,008,505,638,610,743,555,082,166,056,355,081,500,804,749,763,054,760,888,
624,081,464,431,869,067,829,852,109,373,418,006,161,981,131,742,726,055,254,
225,391,180,948,750,912,052,545,154,651,803,783,853,623,815,854,902,068,498,
136,551,123,346,571,789,304,171,250,783,750,671,791,042,565,943,744,979,088,
731,221,482,994,435,016,528,334,330,455,718,689,701,893,855,609,231,866,925,
349,167,579,016,834,858,877,630,762,071,637,128,999,580,924,587,944,298,599,
657,526,770,365,498,288,978,550,001,792,813,045,096,677,165,924,356,045,666,
340,250,059,568,266,366,532,324,544,619,960,562,665,845,434,377,184,749,751,
867,011,184,694,799,277,782,616,558,331,225,889,300,658,000,917,161,696,580,
525,538,806,588,307,752,776,955,204,213,240,906,641,124,431,965,258,500,033,
158,561,063,781,484,051,604,326,168,115,716,277,386,453,215,852,822,831,453,
347,598,303,326,414,670,851,944,411,090,553,482,663,555,677,990,873,359,786,
259,289,913,528,932,748,229,611,138,796,922,944,029,044,919,611,763,550,212,
791,999,035,956,454,684,403,973,373,980,018,522,600,509,230,850,991,772,579,
429,595,644,656,639,933,573,545,335,914,358,612,541,817,184,032,399,993,666,
522,138,878,770,366,062,961,107,259,980,993,879,727,636,991,038,067,898,724,
536,705,158,394,141,030,543,055,677,709,120,120,330,108,375,160,324,051,635,
476,100,166,568,204,441,204,087,806,062,879,115,851,708,404,897,487,394,947,
145,982,268,613,352,681,171,096,904,897,500,405,394,824,605,391,803,442,153,
007,999,858,628,063,564,823,203,228,425,562,562,563,851,584,408,731,334,525,
677,294,571,237,837,970,319,646,278,845,811,485,032,244,502,915,361,147,382,
079,561,556,906,201,269,141,424,490,393,217,747,286,245,723,319,721,486,460,
536,737,130,768,860,982,702,901,580,735,986,965,222,605,681,724,968,727,779,
734,032,770,332,344,151,609,643,430,541,114,007,713,077,728,123,372,743,919,
100,850,842,254,394,395,033,523,678,528,102,831,176,148,222,752,377,794,282,
430,906,223,312,546,390,117,190,131,387,936,044,762,305,518,457,875,957,470,
580,336,863,456,886,906,451,215,005,461,761,617,709,397,804,326,071,128,755,
885,911,857,998,463,347,757,047,750,298,583,333,645,874,204,791,307,709,281,
178,491,433,164,836,165,955,735,134,054,028,231,476,148,450,597,266,564,562,
086,934,243,622,524,437,820,499,567,057,395,233,848,747,647,517,578,583,680,
021,953,101,216,141,376,726,276,084,339,738,198,056,947,189,870,824,457,072,
319,916,953,008,025,890,140,680,915,087,756,960,980,058,795,258,803,507,327,
327,610,835,794,770,469,682,418,542,417,668,587,715,727,267,182,411,286,066,
685,943,698,737,639,177,829,262,015,237,463,787,249,287,167,851,318,925,968,
325,666,127,133,144,874,847,829,412,442,737,930,233,064,542,872,154,400,189,
943,157,343,696,523,025,322,748,278,136,391,140,319,415,398,652,097,291,838,
926,572,623,619,466,966,753,019,339,146,067,105,919,117,022,514,331,144,547,
725,944,457,767,546,068,168,854,924,892,559,461,654,619,854,921,793,558,627,
210,298,345,419,382,597,565,226,621,346,282,957,085,191,590,127,438,533,270,
281,454,233,091,130,028,703,839,590,700,586,631,223,692,119,528,614,683,345,
086,904,761,573,765,443,172,541,388,658,647,310,988,934,637,645,749,678,987,
040,965,645,503,852,393,731,358,069,861,458,660,486,593,597,751,164,342,903,
594,138,862,382,332,782,984,644,893,920,522,809,737,574,518,390,673,213,234,
258,958,118,816,838,905,738,117,255,234,619,515,922,576,674,654,678,937,530,
744,304,276,216,454,052,896,559,713,544,542,481,813,022,910,220,075,727,557,
263,891,757,960,277,808,684,553,281,572,138,432,478,720,184,366,858,353,745,
847,176,862,245,066,567,708,130,968,934,837,864,583,327,721,985,704,320,856,
051,223,437,529,776,284,890,858,059,135,716,061,615,779,893,348,190,724,646,
361,717,777,873,745,395,899,534,639,544,340,402,024,792,890,780,713,436,289,
740,973,202,071,869,489,713,411,504,721,411,407,728,903,158,452,697,398,932,
253,790,076,314,706,836,202,999,276,979,966,017,274,052,362,920,251,473,208,
044,933,517,514,935,115,869,448,141,147,794,025,953,336,790,472,242,253,388,
667,180,354,881,342,801,078,009,267,100,142,741,074,784,306,503,660,144,186,
404,463,609,978,049,864,746,489,080,177,606,669,587,593,929,518,758,241,021,
884,270,671,883,270,054,422,120,500,552,823,157,264,728,540,735,515,561,729,
823,010,466,150,070,697,996,627,313,416,095,963,583,422,439,212,164,104,880,
954,710,336,444,082,190,114,405,977,783,188,351,442,371,709,793,038,669,177,
692,560,027,440,669,066,949,393,186,905,830,336,109,887,756,802,201,432,334,
201,710,547,177,457,579,806,285,509,387,601,584,132,238,738,101,326,924,034,
835,680,392,348,061,892,220,796,962,920,742,727,728,586,746,654,759,274,120,
999,207,433,623,226,691,808,240,681,046,456,653,355,429,030,983,946,066,436,
135,964,844,938,039,154,080,179,750,286,800,714,974,396,087,086,257,771,819,
578,513,862,706,127,662,576,927,087,431,597,560,580,251,259,995,577,029,613,
132,893,573,572,444,993,672,002,510,541,534,155,941,321,204,341,172,464,316,
588,056,489,656,290,670,689,962,587,325,897,486,218,840,306,595,262,516,878,
208,871,506,532,048,964,356,750,106,609,199,237,882,299,303,469,228,233,122,
788,109,666,190,248,020,740,849,394,250,178,369,576,707,771,454,999,575,769,
587,515,239,299,995,870,934,423,185,084,088,531,975,232,452,710,635,628,715,
462,592,002,961,253,295,024,296,988,029,184,704,764,167,736,849,780,248,468,
683,972,279,123,263,733,254,585,283,775,864,314,045,298,660,136,847,639,746,
126,967,556,130,417,427,120,379,741,704,268,573,816,363,500,879,882,438,751,
430,419,402,871,735,734,647,816,839,243,329,295,809,771,914,327,351,145,120,
089,528,182,629,417,819,619,336,246,003,900,391,718,576,434,499,038,720,947,
100,964,113,413,124,239,098,508,090,558,114,106,665,528,740,294,498,001,037,
437,827,588,953,626,012,761,314,544,361,850,507,443,920,007,071,477,429,038,
171,807,598,269,536,909,665,383,283,518,513,681,723,977,863,606,872,224,334,
203,646,033,169,634,870,589,867,214,978,537,337,618,608,577,846,962,941,873,
569,121,753,542,283,599,164,993,584,764,017,855,255,583,618,012,040,749,730,
026,892,671,874,820,143,368,866,779,970,660,701,703,278,852,074,879,856,537,
026,080,471,471,590,897,126,651,808,915,300,579,385,283,346,993,511,260,241,
059,996,266,982,995,750,943,781,184,602,143,295,660,525,575,319,213,075,220,
239,633,889,402,978,792,290,009,020,354,505,434,006,757,391,654,983,333,919,
266,443,522,179,247,497,233,219,706,408,068,185,776,709,294,621,296,035,179,
567,947,716,553,205,394,111,117,008,568,991,148,482,705,655,594,838,650,384,
239,859,966,180,775,788,785,668,385,008,864,459,344,886,489,225,162,602,657,
783,149,320,456,188,191,613,699,148,352,785,484,102,519,205,738,939,456,208,
753,080,089,047,589,680,658,975,602,785,404,469,647,472,685,683,859,122,729,
030,359,156,545,346,660,074,050,250,906,541,932,199,310,589,654,097,276,698,
380,626,243,360,960,224,182,415,555,007,775,250,592,887,354,269,799,744,163,
960,487,670,186,713,588,270,410,007,608,646,696,017,423,790,355,258,547,682,
127,083,943,515,668,181,920,426,645,554,651,250,183,614,094,406,930,578,195,
886,167,679,304,072,824,537,001,871,638,958,934,243,503,934,780,283,464,429,
069,304,348,742,144,586,656,365,440,047,850,703,213,556,631,409,766,767,011,
834,649,514,217,543,869,945,131,940,632,365,353,597,147,542,298,727,278,156,
042,369,618,174,082,537,529,990,295,411,377,573,117,327,546,498,095,124,057,
480,119,711,010,893,812,284,109,183,053,200,498,187,463,930,328,331,741,065,
464,958,016,767,021,685,147,771,049,196,180,743,655,860,256,361,087,461,171,
353,762,659,580,513,262,310,837,199,552,166,876,264,338,552,910,200,771,146,
926,890,996,039,793,554,258,485,578,313,600,521,990,199,552,563,175,144,981,
884,551,397,579,085,150,532,307,678,751,069,323,747,139,212,712,783,732,445,
569,232,679,472,699,209,703,323,279,902,054,224,850,493,548,296,419,547,383,
699,036,243,300,913,876,117,348,643,955,824,649,215,536,455,591,931,788,001,
900,950,657,741,850,396,789,126,746,621,048,782,000,437,686,989,439,039,837,
713,152,078,466,666,945,830,934,846,685,668,346,465,641,588,379,334,622,844,
011,717,543,187,504,674,731,259,208,688,788,771,691,877,826,704,966,397,598,
458,743,465,415,329,437,528,242,925,355,118,791,735,537,889,743,152,303,596,
716,194,051,141,233,406,180,803,804,908,683,471,680,371,931,999,881,319,064,
308,360,800,862,048,688,228,935,038,582,798,367,164,714,990,249,884,918,184,
389,980,894,877,492,838,215,449,189,704,087,706,015,005,509,317,519,414,576,
209,923,302,752,837,711,038,122,990,491,392,643,213,179,595,577,135,172,609,
767,622,589,429,703,551,440,665,956,785,273,525,051,106,823,740,813,015,564,
394,659,613,512,348,960,706,652,890,866,071,943,427,746,677,538,321,800,736,
832,936,918,112,240,847,047,124,700,362,130,392,481,521,133,054,909,924,607,
932,745,471,813,564,347,090,789,063,618,149,979,189,894,982,112,224,616,920,
534,260,300,659,764,014,158,925,985,767,301,577,037,782,246,595,023,710,583,
616,340,416,395,751,312,193,442,733,278,763,021,391,597,181,592,941,984,285,
820,332,241,934,633,508,535,320,788,876,741,114,828,350,418,163,843,491,712,
570,261,724,281,468,732,322,942,330,328,776,193,955,783,815,990,952,719,749,
507,151,203,993,209,824,997,700,657,467,705,221,900,663,261,501,102,212,086,
759,012,462,075,601,500,729,590,378,401,576,549,618,296,628,735,347,922,836,
964,571,059,044,790,324,492,254,278,092,018,366,420,263,229,535,111,493,780,
389,102,374,848,866,089,683,417,062,256,943,938,197,119,628,160,192,437,740,
448,008,537,862,966,414,429,153,438,089,974,534,720,096,015,610,273,638,839,
341,056,553,537,728,349,281,349,936,964,156,541,670,706,524,711,820,754,422,
672,199,891,681,083,151,337,296,479,180,812,508,968,796,025,751,927,156,000,
022,176,523,963,360,889,549,281,890,331,412,151,986,606,762,577,682,277,580,
737,843,248,480,190,690,756,434,380,407,203,859,039,840,962,173,854,716,121,
796,165,768,111,881,400,292,827,806,120,763,742,684,322,934,310,079,465,233,
074,855,812,030,622,533,314,607,538,238,508,647,431,228,752,516,107,950,846,
846,024,159,915,271,023,735,931,090,401,843,150,112,757,836,985,777,811,480,
506,721,228,598,767,749,835,891,007,823,941,641,794,808,000,834,090,971,751,
550,769,112,629,647,480,736,291,562,162,663,582,703,924,414,677,193,473,336,
582,813,619,027,875,612,242,564,330,805,447,398,174,275,321,389,613,826,481,
248,203,857,554,350,913,115,033,735,950,897,640,161,869,444,703,398,552,671,
291,304,740,049,695,368,072,040,459,153,318,198,030,260,502,592,121,361,898,
589,817,847,654,882,722,545,363,630,071,997,885,742,936,413,052,745,614,237,
975,592,502,518,347,904,220,653,359,158,259,697,861,669,002,170,823,160,787,
215,132,895,584,161,684,720,770,571,442,920,021,029,795,609,888,915,214,427,
431,257,958,306,400,910,266,054,562,468,194,030,670,073,628,831,541,226,288,
062,282,336,171,219,048,237,497,739,414,844,163,953,473,303,925,123,567,506,
260,617,480,440,557,785,587,956,286,866,994,805,406,345,698,102,222,980,282,
581,254,719,743,492,453,922,462,433,331,279,746,343,713,227,496,808,226,267,
823,985,193,405,055,338,515,540,531,849,257,227,655,251,658,499,880,323,962,
404,855,582,388,692,057,536,971,797,532,890,650,794,223,820,204,049,594,376,
351,305,321,180,924,341,098,986,857,212,694,607,704,686,942,786,507,911,622,
342,368,472,668,476,470,725,040,033,765,961,729,956,401,029,261,481,707,759,
053,406,070,323,355,623,488,433,873,888,139,379,793,160,959,821,881,570,046,
004,245,757,270,695,903,623,295,601,468,123,223,159,549,812,988,658,834,993,
739,282,403,785,433,355,416,471,783,558,918,123,178,834,150,848,036,984,720,
514,448,745,085,445,458,287,406,136,191,698,118,018,447,425,490,274,021,303,
369,594,392,984,399,088,094,871,310,270,183,685,572,248,096,399,335,762,509,
065,589,046,122,899,869,039,545,361,421,543,436,786,843,470,358,998,181,289,
329,845,446,837,405,349,988,785,908,105,836,916,833,678,682,518,399,919,987,
384,195,405,798,824,993,386,925,877,520,699,301,361,618,003,823,338,896,766,
982,368,887,287,802,642,025,692,924,576,815,997,906,458,357,246,438,132,846,
178,356,441,406,988,013,761,408,850,809,099,902,556,686,612,646,290,111,206,
346,634,646,500,824,868,087,864,387,805,608,473,105,003,210,146,880,173,449,
280,541,324,937,184,380,164,447,864,220,038,674,439,770,597,676,616,027,066,
833,735,827,733,258,820,120,829,258,073,787,489,367,977,995,538,548,397,441,
156,126,986,138,262,780,955,137,310,903,141,515,938,010,719,136,327,538,505,
554,471,600,030,361,078,195,519,654,074,552,637,928,197,173,027,657,650,067,
735,391,047,570,091,968,053,716,873,791,173,361,584,307,152,468,556,864,752,
338,383,149,198,112,269,826,319,972,460,857,266,006,386,902,421,848,466,259,
710,657,329,833,535,224,948,764,665,830,731,838,594,068,951,225,543,130,198,
877,308,597,822,159,281,359,600,418,992,400,378,893,738,608,635,641,824,742,
288,511,758,855,243,989,727,890,762,885,329,959,094,462,238,816,099,617,560,
207,524,676,327,117,346,136,488,453,011,180,069,458,778,160,161,892,447,339,
529,222,112,338,046,444,767,295,980,923,857,626,255,557,038,216,092,813,840,
520,452,570,615,800,538,801,823,835,481,571,446,072,959,818,462,539,797,377,
453,995,568,486,086,148,351,487,386,418,214,066,318,776,636,084,719,960,551,
960,328,988,306,548,040,346,596,728,117,280,159,205,203,205,479,384,677,618,
430,558,587,372,818,422,679,647,957,025,439,953,701,384,583,211,352,987,765,
299,420,001,746,388,541,215,696,059,045,834,076,976,178,395,605,566,635,852,
620,196,924,717,612,024,581,481,968,481,816,634,564,548,034,415,642,750,322,
072,965,399,068,960,559,865,846,060,383,980,464,137,012,256,240,472,447,514,
820,439,113,935,662,645,361,485,022,122,324,418,870,712,279,577,885,773,524,
954,790,020,739,290,380,667,191,735,989,022,764,729,432,651,487,676,379,007,
155,814,223,701,012,008,050,620,537,154,912,909,944,770,098,735,069,327,549,
495,663,521,131,177,913,499,492,416,574,291,348,678,752,237,411,894,482,891,
166,152,016,091,943,101,565,907,559,090,568,856,037,883,227,286,054,104,233,
873,981,762,059,452,512,938,822,814,248,124,115,404,913,531,181,172,819,020,
200,782,108,881,440,525,974,586,813,720,200,208,670,450,822,619,935,098,210,
426,577,779,667,827,029,629,792,366,397,308,579,223,477,823,448,502,564,605,
413,951,896,506,728,470,915,874,168,503,765,034,876,765,870,775,431,987,571,
040,545,861,663,298,541,162,440,330,991,616,928,601,838,232,198,772,232,853,
814,209,557,042,439,506,036,181,210,070,439,122,296,366,500,792,477,842,810,
848,381,905,702,985,016,311,716,690,085,693,374,020,759,501,020,776,933,788,
378,073,698,525,476,218,781,598,734,500,651,579,411,906,068,046,118,746,803,
462,293,043,839,341,834,571,487,749,423,122,238,289,193,204,350,088,504,198,
716,166,503,997,396,846,468,708,154,924,168,298,373,077,344,672,164,601,828,
994,897,238,542,480,887,400,138,171,846,197,192,082,475,653,288,011,948,219,
424,371,812,781,787,454,290,657,167,138,897,767,614,157,387,915,359,871,526,
466,680,910,556,881,718,560,815,286,612,337,296,758,560,840,066,313,801,875,
892,573,835,184,863,360,877,410,563,994,021,510,212,674,556,520,441,619,081,
376,061,073,979,883,607,377,537,064,938,831,842,504,182,812,663,174,568,740,
102,490,132,132,491,030,277,354,114,258,761,260,699,879,774,586,215,598,842,
208,496,275,525,196,668,052,742,400,681,676,579,645,930,471,354,791,926,750,
463,262,989,955,910,091,770,509,622,243,223,468,310,902,785,037,870,772,041,
012,500,268,088,539,302,546,875,766,505,429,515,085,307,938,315,075,122,920,
701,843,071,449,663,906,002,680,544,307,536,112,274,408,196,858,439,175,384,
074,775,918,360,979,254,851,468,043,410,951,458,930,131,059,538,806,296,550,
809,427,453,873,144,526,558,105,447,590,976,972,376,841,606,199,760,691,907,
712,460,733,009,064,938,415,248,701,760,523,244,192,657,917,203,401,106,194,
945,890,871,530,907,810,797,601,657,045,528,562,342,615,818,743,086,475,051,
921,778,052,258,797,943,338,946,430,014,447,489,898,816,955,260,669,182,764,
453,905,851,687,677,768,231,520,458,826,987,226,920,657,531,206,226,273,956,
481,340,333,455,364,980,165,896,080,758,165,558,126,518,976,835,376,176,932,
381,056,671,634,708,452,183,976,373,839,540,897,040,046,692,201,060,258,408,
272,498,196,899,117,525,902,307,578,610,668,911,658,737,008,981,685,043,725,
549,163,255,810,149,919,940,326,417,096,285,059,968,620,886,513,531,479,940,
014,525,056,449,002,347,920,954,485,830,038,573,563,603,421,534,178,207,964,
539,462,936,430,642,114,762,772,512,935,741,750,701,397,927,932,688,586,849,
317,380,484,437,899,424,790,664,805,570,049,857,993,037,499,478,333,884,966,
606,267,275,719,279,237,963,519,805,957,256,219,605,332,868,533,489,406,983,
549,523,325,361,822,545,148,624,940,630,276,282,337,224,444,361,681,800,785,
897,227,974,788,872,775,700,118,993,149,237,755,418,465,031,921,386,784,968,
253,506,419,546,440,961,615,638,022,141,073,571,380,505,541,201,407,127,966,
898,212,919,109,841,975,431,773,948,949,259,392,521,444,393,073,049,403,581,
306,462,158,168,267,013,633,170,435,234,372,569,384,642,723,824,759,135,425,
242,135,096,574,241,364,268,933,060,805,865,968,685,044,192,224,635,543,091,
553,700,389,373,818,037,520,487,918,792,766,733,197,541,245,107,386,555,603,
341,089,876,637,910,545,075,376,598,877,715,579,904,721,905,797,759,546,858,
343,556,402,699,143,088,634,084,094,970,249,480,758,316,633,268,985,788,105,
147,279,587,960,928,337,892,727,797,645,901,235,636,872,102,593,448,088,879,
364,435,145,292,647,787,098,296,471,159,028,148,297,457,109,526,899,785,565,
459,283,002,231,324,489,474,629,007,197,948,868,670,076,894,388,197,710,417,
903,619,610,460,146,067,380,717,735,057,804,303,910,597,010,179,109,622,836,
898,859,307,492,092,072,298,794,104,530,355,524,690,930,996,050,226,603,820,
770,371,989,667,986,830,241,340,447,301,089,285,070,823,983,095,271,443,368,
714,226,420,781,209,488,224,706,340,971,725,038,010,453,186,221,717,666,681,
673,269,752,598,734,315,749,126,419,744,580,868,704,754,257,371,257,587,913,
090,226,939,299,018,083,137,369,958,041,844,008,618,976,191,520,160,302,115,
745,211,066,249,413,199,413,886,538,262,224,487,589,574,040,381,417,702,455,
735,832,544,582,345,162,969,928,693,172,459,500,248,817,962,808,316,887,658,
301,510,304,096,758,327,441,766,959,628,743,782,355,722,773,353,326,868,503,
273,501,828,395,570,791,001,224,421,317,738,096,299,200,682,555,475,561,210,
106,415,874,452,728,564,934,812,193,158,807,866,772,076,534,244,730,042,901,
114,623,210,104,911,933,313,213,718,104,879,633,697,025,895,199,222,065,152,
792,352,800,354,339,109,603,846,968,479,402,946,151,268,544,292,659,500,923,
546,081,334,713,297,900,787,528,115,737,318,796,732,672,240,466,965,687,854,
960,750,568,636,516,413,167,416,308,064,883,194,741,469,799,555,149,021,835,
747,279,388,942,911,964,126,055,848,235,085,528,318,327,799,224,209,267,492,
994,848,223,490,526,184,887,890,255,047,120,602,867,844,145,416,314,497,660,
149,629,578,420,401,915,641,850,408,851,892,943,547,265,669,109,977,671,025,
647,523,679,469,328,544,198,239,516,225,831,987,830,008,160,433,966,582,167,
011,840,358,326,925,755,141,131,040,195,502,540,482,491,485,502,752,888,885,
421,058,581,636,688,417,364,325,870,944,734,694,414,237,640,638,768,220,399,
850,448,700,536,102,669,560,671,613,585,966,338,361,712,594,013,875,896,867,
174,336,913,625,766,008,926,230,594,895,179,196,718,422,119,498,045,353,105,
474,194,640,172,711,755,000,241,118,214,572,158,757,042,706,742,536,654,190,
865,541,466,236,949,424,144,473,875,260,859,492,240,922,964,044,454,701,386,
070,278,644,724,965,653,966,948,218,834,881,626,552,799,182,652,540,044,677,
574,905,339,019,492,289,137,790,183,749,461,672,204,076,951,455,489,825,211,
616,253,481,289,987,380,097,851,022,371,064,218,681,883,253,599,933,592,280,
887,931,078,170,233,691,008,274,198,097,052,256,696,678,873,299,248,585,272,
139,510,148,976,988,522,308,065,920,303,236,080,459,757,681,239,002,313,902,
037,653,498,368,516,724,418,111,363,859,318,420,714,212,098,615,056,466,453,
835,018,308,251,986,986,987,825,424,346,241,196,875,597,279,585,852,458,364,
062,081,202,138,523,526,466,011,013,502,053,020,816,238,634,435,788,759,654,
935,878,095,869,169,637,945,876,750,758,389,260,477,623,365,246,919,404,818,
903,447,986,075,486,697,596,419,671,334,730,982,579,407,719,682,090,500,675,
638,291,453,764,187,504,787,700,237,567,094,649,157,549,902,321,656,500,785,
703,721,326,130,739,117,281,692,297,774,692,221,518,544,106,108,168,442,941,
505,867,663,459,245,675,019,733,983,896,652,494,977,114,189,526,813,889,065,
000,157,809,624,034,281,776,961,057,289,905,455,532,686,705,174,469,644,940,
873,502,318,793,885,861,906,696,777,312,936,705,751,836,952,586,611,985,675,
327,018,249,770,896,028,365,899,274,340,203,138,971,030,720,926,589,258,710,
018,943,911,692,572,288,953,259,192,332,210,387,497,784,486,797,869,992,849,
520,039,354,339,894,155,109,902,408,678,312,203,292,955,478,973,515,551,002,
851,841,524,971,489,659,144,631,783,501,120,122,614,792,307,062,383,371,172,
104,794,327,518,604,252,340,742,784,476,964,280,667,637,479,205,187,967,623,
172,007,052,140,076,259,091,108,216,719,725,075,057,182,055,589,024,427,074,
213,928,549,869,958,414,827,352,778,383,923,236,656,478,182,901,006,263,510,
457,974,595,469,100,498,073,255,603,210,170,549,087,511,473,311,249,615,252,
751,175,742,311,547,897,842,661,949,252,335,381,032,358,439,595,374,898,578,
679,388,529,047,311,957,676,770,999,671,033,883,304,120,242,868,947,486,890,
477,264,735,024,365,089,441,725,911,439,898,457,572,960,047,081,547,687,615,
553,583,125,869,917,571,169,354,481,058,492,136,262,849,679,671,940,136,716,
880,914,086,127,413,144,687,775,199,383,535,948,968,039,414,026,253,611,213,
554,513,750,648,349,838,791,968,490,884,039,563,536,177,223,745,136,967,078,
742,937,269,883,855,568,223,234,636,374,789,028,756,079,053,107,482,812,454,
989,089,982,763,244,990,779,259,392,117,951,205,396,541,634,365,694,498,904,
826,947,147,610,850,095,585,752,117,451,369,939,823,761,774,981,285,730,439,
785,241,950,013,558,626,827,400,839,534,902,827,661,271,667,926,413,205,621,
662,334,141,439,679,013,593,732,982,240,418,896,543,765,316,990,824,135,027,
103,776,683,411,939,837,371,828,910,030,172,050,399,090,160,311,190,879,665,
142,173,062,088,036,578,987,863,584,979,001,473,329,930,296,336,485,744,436,
148,308,410,310,185,603,135,933,806,006,547,588,730,012,628,304,387,989,705,
287,567,799,148,910,653,543,686,847,545,621,086,625,392,477,229,587,714,100,
361,042,898,576,523,897,393,895,585,955,599,891,990,301,194,985,599,860,808,
113,432,112,577,948,792,193,781,597,586,238,851,295,678,999,734,640,949,606,
926,541,474,129,761,357,447,667,740,940,633,665,007,366,974,840,115,808,832,
288,963,302,240,683,332,808,265,472,802,129,084,197,905,534,757,924,622,597,
855,290,152,497,389,213,873,643,319,142,353,010,039,390,573,232,472,745,826,
763,306,659,601,378,266,881,108,651,184,723,352,598,662,402,845,707,348,180,
730,611,242,867,412,633,538,275,896,622,316,326,983,621,196,234,718,029,781,
914,136,231,991,363,820,765,294,796,843,314,294,921,458,932,800,716,386,293,
428,092,389,039,888,956,731,668,029,219,722,326,794,876,851,521,312,378,700,
461,169,708,983,061,270,150,995,619,529,690,242,556,524,797,849,866,808,177,
633,667,110,415,654,186,759,520,724,996,929,188,941,242,693,985,582,974,616,
431,964,630,591,062,040,904,516,732,757,852,694,252,891,788,738,396,850,426,
962,621,344,162,619,944,789,687,926,439,003,791,071,690,820,933,383,156,624,
881,088,948,506,995,236,834,385,743,073,141,829,658,144,453,615,791,900,130,
979,183,743,755,108,254,899,237,707,060,387,498,738,090,633,986,135,884,145,
467,770,573,177,648,663,727,909,559,548,309,009,609,457,849,196,240,814,292,
908,065,350,834,029,918,270,745,855,843,368,566,371,434,012,478,020,763,698,
777,233,206,687,948,286,395,659,776,705,164,946,741,952,238,859,302,534,443,
188,834,787,002,376,890,030,713,158,241,269,395,646,945,962,861,505,737,862,
386,478,460,424,016,391,870,530,216,268,189,397,998,610,154,465,544,675,575,
711,375,132,609,464,965,100,162,187,550,759,639,831,369,737,476,578,577,678,
083,902,230,315,909,347,228,886,642,707,944,752,068,268,212,964,492,046,482,
695,817,110,615,050,467,254,814,971,740,483,671,262,539,920,570,012,017,798,
655,429,622,188,705,719,715,823,224,764,457,452,016,755,573,813,606,420,547,
913,300,756,582,415,385,865,742,450,851,297,359,914,953,817,728,578,732,707,
056,805,605,487,932,074,462,053,076,692,334,425,609,238,409,200,856,223,502,
195,779,133,764,684,352,657,431,903,428,117,307,639,909,725,153,097,960,087,
252,431,621,774,490,011,739,442,158,776,693,023,156,165,650,812,964,710,155,
741,219,713,627,381,289,012,776,904,233,865,301,973,046,959,144,232,929,040,
446,920,772,476,431,374,972,871,496,838,358,192,736,994,740,759,905,330,536,
815,937,047,856,681,348,361,904,966,586,005,371,745,112,598,780,013,322,828,
505,539,301,132,843,316,856,124,042,734,816,135,213,074,707,991,044,893,446,
655,289,273,461,476,651,368,163,981,518,684,268,322,500,641,253,540,140,728,
901,666,573,980,732,958,084,530,761,526,773,514,667,582,372,550,981,047,437,
138,727,977,191,635,533,770,393,800,305,259,625,601,703,450,053,369,803,436,
290,721,270,235,435,521,253,689,796,906,044,541,520,238,019,372,235,841,205,
016,911,038,649,640,071,930,077,425,853,415,997,542,670,155,250,850,782,282,
375,580,152,880,678,039,228,143,923,015,830,163,020,223,613,146,607,799,193,
946,838,330,862,488,641,702,753,301,606,485,284,439,153,629,524,731,110,737,
644,574,782,422,560,573,080,874,658,979,823,326,910,648,448,062,667,774,245,
455,747,774,159,471,395,683,801,096,150,707,594,522,859,668,509,688,858,940,
171,489,355,819,555,585,846,849,338,749,923,821,631,497,403,316,400,677,273,
375,221,026,369,794,373,202,841,949,007,490,653,685,027,768,511,381,984,865,
729,850,602,996,738,751,165,073,564,988,069,360,182,740,040,435,178,524,386,
505,720,451,054,430,960,723,367,310,147,900,675,949,767,305,877,614,515,203,
449,524,959,599,497,729,620,818,660,631,451,823,365,878,372,704,504,505,678,
750,998,841,228,845,789,058,271,085,628,579,437,945,886,665,983,023,011,289,
990,723,957,224,934,659,499,163,531,306,741,820,036,887,204,395,278,569,687,
921,750,225,842,532,155,258,896,334,683,103,902,178,972,492,152,861,455,229,
558,033,685,364,278,358,267,161,488,305,282,205,415,759,569,839,990,011,159,
484,548,632,554,515,271,522,594,649,437,938,918,928,726,843,925,855,895,501,
998,167,295,307,132,147,869,611,512,783,307,525,983,373,253,396,251,709,206,
078,793,732,187,583,240,411,859,036,839,105,569,247,961,069,908,808,503,466,
374,336,599,691,157,743,189,588,515,380,953,858,383,060,166,080,975,948,289,
623,529,856,899,875,630,820,254,791,749,130,400,062,690,686,200,600,855,444,
019,358,954,659,031,790,777,341,453,228,372,781,254,493,264,175,570,085,444,
971,459,478,869,618,846,238,219,895,040,347,903,559,156,302,239,211,858,863,
946,963,656,056,694,614,724,496,010,651,806,803,085,870,790,018,754,929,956,
817,088,862,360,338,823,977,096,004,274,352,576,526,124,801,982,630,634,276,
922,567,993,800,944,301,981,564,991,925,218,593,087,680,173,954,230,348,340,
589,655,138,551,371,751,674,272,200,883,469,724,067,361,640,305,799,090,769,
809,385,318,951,041,948,669,681,355,465,373,871,698,354,025,442,259,729,695,
051,818,656,014,521,121,911,340,415,024,916,052,354,942,496,255,306,398,578,
316,499,310,517,558,812,091,171,684,304,397,604,928,000,660,895,234,728,988,
005,549,108,960,588,527,038,075,897,264,052,309,027,505,954,353,853,287,268,
696,538,948,426,628,561,631,765,756,403,310,727,984,838,077,187,093,041,667,
806,808,450,280,745,736,974,621,724,799,363,052,178,399,533,331,757,935,599,
225,798,247,346,270,474,708,219,190,392,814,742,193,368,051,600,852,818,284,
976,670,651,233,447,381,594,644,877,663,530,542,420,462,091,946,831,270,504,
489,425,930,735,030,689,667,722,516,369,350,152,454,943,482,784,179,146,071,
076,323,059,967,579,458,562,786,630,755,742,764,820,342,662,800,810,221,613,
463,342,777,709,837,132,177,230,712,032,298,594,683,070,820,293,077,185,493,
681,930,413,100,051,504,532,544,776,055,693,962,024,977,487,836,189,496,883,
153,342,833,975,402,062,796,965,185,888,474,800,678,884,541,548,238,928,433,
175,972,077,256,063,458,032,565,740,943,280,488,980,429,382,478,913,815,704,
796,434,466,126,758,015,032,644,056,643,623,133,183,572,375,789,306,841,987,
352,565,042,100,684,208,767,162,119,668,226,519,956,571,253,756,646,413,492,
450,989,720,368,202,056,470,969,253,420,958,152,646,880,060,347,608,447,951,
863,087,070,257,919,841,154,426,777,480,267,503,091,447,270,662,329,259,085,
079,330,440,709,494,433,688,606,611,975,803,636,323,571,081,426,867,753,092,
530,827,339,693,238,071,461,523,040,185,469,829,428,004,214,763,483,361,360,
839,669,217,871,240,047,453,714,302,948,311,718,162,899,779,871,934,525,752,
516,293,392,060,075,413,125,302,635,785,986,120,050,472,159,442,474,571,347,
862,880,557,388,523,068,438,020,017,513,399,255,348,048,673,498,768,306,729,
718,631,621,076,761,942,866,258,147,107,124,460,118,780,483,857,018,079,632,
185,344,570,068,102,197,729,343,100,450,984,294,315,610,290,493,886,003,878,
146,871,049,105,004,859,574,164,949,128,301,367,207,039,618,730,471,614,513,
517,198,486,128,323,653,113,584,745,934,810,026,303,763,794,070,352,602,249,
729,541,885,231,341,646,771,364,576,122,095,556,771,944,464,561,699,632,864,
417,480,565,234,694,114,661,860,853,154,561,558,405,418,842,156,226,530,381,
330,656,667,792,456,376,738,421,264,093,812,310,894,044,531,694,830,939,015,
253,864,388,448,238,058,172,381,515,700,287,620,254,844,857,984,812,297,338,
182,489,798,780,436,663,811,087,102,618,982,540,617,548,692,652,019,330,616,
222,583,110,051,122,450,065,895,606,755,903,977,780,603,120,549,322,386,957,
313,375,186,939,578,980,095,491,169,815,802,880,290,823,473,234,910,771,579,
355,407,440,459,367,885,338,922,732,902,076,385,644,259,204,150,543,242,020,
482,908,711,015,345,583,512,934,479,828,195,500,554,001,360,870,890,201,179,
808,214,033,509,327,226,585,839,128,900,473,909,907,127,072,937,241,406,501,
718,305,866,301,317,793,183,157,602,948,439,146,691,770,228,238,523,907,475,
198,933,655,494,459,802,662,485,372,015,451,923,989,935,557,595,947,766,935,
251,148,813,219,433,172,945,384,370,131,519,444,040,084,259,203,264,298,617,
294,904,968,247,898,561,240,385,007,001,526,175,144,852,529,704,613,700,028,
829,302,988,880,411,501,400,347,148,172,702,589,391,704,266,417,872,010,138,
883,066,974,161,723,474,849,899,077,006,370,517,299,239,563,259,856,987,086,
840,075,158,759,017,936,652,159,136,849,828,805,879,507,044,900,301,783,930,
036,341,033,072,802,173,199,073,587,132,224,762,164,043,990,756,538,683,834,
317,161,496,849,022,307,339,026,899,847,035,664,515,283,817,357,622,633,393,
941,512,067,554,516,108,715,898,392,811,315,407,992,506,652,271,596,074,577,
795,301,502,752,508,226,234,712,191,243,428,354,326,919,733,028,712,497,925,
769,864,663,422,371,165,979,934,706,546,633,565,694,066,576,229,268,690,899,
048,443,660,709,259,185,191,374,839,968,510,825,291,009,639,942,132,702,585,
543,547,937,019,662,177,873,518,025,700,084,819,845,615,722,067,238,327,395,
304,424,988,718,470,174,776,938,182,162,196,286,864,618,005,940,620,110,379,
360,757,118,055,124,695,863,821,125,672,073,999,595,527,437,578,670,243,478,
093,688,430,137,119,157,846,213,469,365,426,948,068,359,777,303,219,203,217,
283,096,349,902,329,966,901,083,020,551,946,929,453,836,779,431,222,267,039,
515,721,084,574,034,192,494,383,723,312,464,917,917,070,049,883,554,450,229,
138,507,670,821,127,850,743,972,593,931,971,053,021,446,086,405,444,267,985,
986,233,144,848,046,007,898,054,406,872,986,983,636,184,394,836,815,059,383,
689,568,677,370,487,212,962,474,331,453,949,256,774,540,041,709,008,550,977,
140,658,330,495,998,421,512,374,919,277,471,191,979,120,175,320,065,385,927,
450,332,819,199,912,061,567,680,107,594,130,465,795,886,635,426,102,885,101,
321,546,885,477,267,752,424,492,429,388,229,634,846,596,765,154,514,194,334,
029,878,692,793,923,016,936,964,095,017,751,423,945,253,915,878,940,078,187,
400,429,772,093,647,267,390,850,120,063,067,721,663,095,890,322,500,541,611,
805,887,487,366,294,656,896,800,466,799,513,101,069,444,330,645,305,158,807,
594,265,375,297,426,684,846,199,005,238,052,536,213,293,992,933,652,147,747,
489,148,999,361,118,090,874,292,211,642,844,393,620,727,207,886,340,967,395,
021,247,465,584,327,378,501,106,640,599,171,468,079,953,253,431,563,108,089,
451,600,817,464,508,199,666,408,554,340,598,314,910,003,440,881,038,129,234,
298,735,462,750,032,943,631,582,358,646,778,995,213,381,681,298,565,057,634,
354,233,410,934,288,323,115,920,379,420,619,545,857,212,494,500,247,450,166,
025,105,023,433,176,993,775,654,615,169,925,975,376,512,246,245,489,124,351,
580,760,825,626,892,967,632,641,145,008,537,620,351,662,801,585,183,178,873,
361,918,262,286,864,713,595,905,789,588,249,071,961,358,871,535,920,009,095,
417,332,566,610,031,134,302,718,104,792,831,053,566,004,790,783,528,336,871,
766,297,226,648,805,597,590,658,759,987,570,186,072,444,963,352,457,828,516,
632,725,540,732,042,519,668,264,299,310,446,388,401,347,683,092,600,666,385,
760,001,344,635,846,812,735,206,910,655,851,727,011,299,003,129,333,246,067,
971,452,944,902,219,968,376,098,584,201,813,280,843,149,042,153,806,765,400,
525,696,105,893,334,145,157,427,545,743,530,205,428,630,667,276,431,352,437,
372,487,847,007,242,518,973,712,046,956,742,324,065,834,915,187,854,513,649,
990,006,044,764,979,058,295,999,020,725,397,634,894,541,135,999,098,519,784,
959,120,105,653,427,763,394,487,808,860,637,570,568,692,964,336,708,352,296,
751,417,981,561,505,768,913,637,436,587,452,408,594,315,863,028,868,963,952,
495,249,170,500,877,352,234,108,224,568,129,142,224,480,128,245,566,741,909,
004,456,710,942,171,656,890,150,675,197,585,304,395,839,337,418,088,635,120,
965,697,898,895,962,231,728,291,896,430,660,429,960,602,549,281,528,877,867,
249,445,255,700,440,813,702,421,616,366,117,562,303,730,217,067,448,734,121,
081,403,742,427,674,293,857,830,326,183,913,410,530,117,494,367,904,013,391,
718,115,948,239,956,107,319,766,308,662,683,472,633,469,023,658,951,326,060,
243,245,044,358,776,007,189,638,746,747,862,659,099,520,354,519,299,469,137,
614,156,081,730,115,530,479,621,634,136,036,473,153,202,091,577,553,153,917,
236,064,289,741,917,900,551,309,182,984,397,747,076,035,299,449,290,142,600,
071,571,130,479,685,680,539,136,777,150,972,652,283,884,183,242,247,377,355,
675,203,065,152,333,791,366,645,524,825,695,101,193,994,775,033,198,050,694,
610,801,427,121,925,196,290,495,930,579,808,179,821,690,863,651,990,966,514,
302,754,530,039,325,154,326,589,998,131,634,044,630,230,987,503,074,660,200,
480,416,483,331,216,764,862,789,760,104,455,121,534,693,432,716,062,844,220,
012,317,937,637,109,477,025,362,137,927,292,253,609,844,408,572,782,335,663,
193,835,397,465,159,751,239,164,149,200,825,764,087,133,072,534,004,179,903,
413,798,737,281,832,744,322,142,171,431,859,614,115,606,726,137,156,436,397,
038,976,316,764,922,743,476,637,976,223,140,295,492,279,291,294,300,858,940,
407,934,000,901,023,946,247,518,325,796,981,952,388,662,277,148,472,135,431,
219,561,681,431,426,363,115,314,708,483,529,827,177,395,818,490,308,727,003,
856,314,096,217,856,386,228,044,478,573,053,602,311,281,487,053,643,075,068,
608,396,145,813,251,888,042,727,006,369,755,244,733,253,989,089,810,779,144,
490,155,863,088,829,243,451,331,104,761,662,054,617,995,756,950,774,083,350,
538,593,140,159,077,097,594,996,212,447,202,415,468,621,946,040,364,585,439,
572,321,466,356,302,247,089,632,192,445,795,623,400,965,911,879,837,021,376,
422,339,936,714,771,868,808,594,495,031,586,098,951,424,069,029,483,744,259,
241,617,288,400,382,089,260,256,827,154,285,397,835,562,420,257,453,824,536,
743,940,382,639,081,794,156,782,239,688,491,045,226,642,630,697,861,853,684,
912,025,687,319,659,072,708,769,633,589,245,442,344,985,163,495,911,967,950,
445,030,020,206,996,650,644,092,811,592,681,760,377,724,042,357,995,565,003,
064,267,448,982,357,148,153,363,254,521,674,223,088,773,301,432,478,892,270,
391,564,597,730,552,947,220,336,211,462,574,665,673,790,265,345,135,973,288,
635,747,381,628,234,924,865,922,912,478,046,577,276,981,879,697,986,587,938,
328,234,118,362,880,283,902,942,361,492,412,785,312,557,734,238,285,484,722,
814,504,548,264,552,037,920,138,818,697,206,846,310,175,456,875,918,974,939,
654,919,753,509,823,412,182,396,479,890,312,984,942,154,938,728,796,117,601,
705,791,557,206,002,618,639,429,534,922,719,079,198,410,459,758,855,409,170,
756,433,546,734,438,929,379,646,046,988,639,025,680,927,416,292,040,527,918,
124,022,890,288,710,617,894,653,587,971,774,455,156,944,574,612,991,047,513,
387,814,690,020,777,708,158,194,322,880,939,641,059,948,639,797,890,394,897,
882,966,480,539,763,301,039,151,041,103,767,011,585,502,708,087,979,528,582,
150,447,687,434,226,591,452,115,229,347,972,365,045,289,583,930,310,145,905,
021,712,737,026,298,774,459,872,421,612,126,152,609,415,202,811,313,472,994,
140,703,351,243,038,774,189,996,345,909,607,990,708,287,253,497,617,525,053,
217,460,683,230,525,500,687,836,606,073,253,824,829,830,456,313,215,858,935,
319,809,254,800,821,539,341,370,945,609,189,690,980,589,915,886,363,648,955,
372,552,310,054,908,339,733,339,308,078,808,361,479,508,699,425,971,435,743,
076,735,592,415,649,513,314,918,388,047,724,158,971,416,641,908,024,641,430,
655,144,328,691,188,433,034,427,551,764,733,009,696,598,829,044,094,307,826,
880,096,081,504,137,914,675,304,039,638,874,865,411,091,011,028,098,238,485,
669,827,843,788,716,008,235,834,826,639,251,209,125,021,513,959,755,419,760,
125,810,634,481,527,039,822,644,649,034,590,660,465,751,979,374,682,101,617,
243,287,492,283,891,210,270,110,563,727,438,072,202,254,206,823,442,767,199,
106,442,317,071,793,938,020,585,199,695,020,726,339,000,701,488,126,386,063,
838,231,241,714,516,839,862,954,541,577,478,640,386,882,554,302,718,433,363,
199,308,398,208,531,137,814,402,359,711,570,666,617,952,325,413,460,328,510,
195,246,476,615,071,153,019,004,242,254,614,421,295,384,765,084,265,744,501,
053,431,453,954,524,741,921,480,262,655,244,698,343,467,429,673,308,194,970,
686,399,842,367,494,303,866,089,365,314,852,920,266,198,898,391,092,762,501,
118,870,488,026,122,655,748,170,348,398,927,391,891,186,393,055,638,864,308,
415,838,175,419,086,918,291,971,933,310,112,282,752,016,983,871,312,411,395,
222,613,345,025,097,315,658,382,636,315,176,867,130,654,639,702,298,804,810,
521,798,698,322,857,148,750,041,137,506,939,756,493,927,556,709,730,945,058,
830,116,850,054,714,807,846,237,389,454,801,784,632,487,014,075,382,743,083,
806,407,011,511,973,364,050,488,059,026,427,812,022,455,591,339,141,847,915,
066,978,390,245,759,662,927,996,676,947,734,730,979,282,869,804,083,469,377,
544,435,587,147,488,700,286,879,612,083,665,850,483,723,421,198,296,554,704,
279,872,069,235,553,002,596,170,172,668,918,392,218,797,273,428,438,333,418,
600,306,893,589,002,517,233,538,847,536,559,129,238,832,349,225,530,521,005,
821,389,962,442,730,896,097,704,553,243,250,309,952,785,092,562,998,933,814,
285,492,666,108,439,815,961,647,299,197,463,716,822,011,795,218,259,716,470,
618,320,429,238,640,263,667,759,587,130,728,733,528,828,900,520,023,307,683,
680,196,404,599,627,241,561,878,334,139,348,911,232,222,565,624,783,071,105,
890,419,285,308,295,058,035,373,735,835,369,087,046,027,565,669,170,106,797,
827,912,323,766,563,216,321,376,153,419,535,163,268,525,283,640,777,388,795,
656,724,607,086,639,049,571,790,329,614,963,263,252,775,413,225,002,077,842,
558,026,135,284,476,108,872,084,427,305,034,362,333,228,652,408,463,697,701,
411,456,758,121,113,476,209,927,408,020,060,224,481,109,362,029,713,931,917,
044,568,191,638,639,914,198,429,472,902,275,056,071,617,747,037,196,159,813,
355,277,559,592,739,364,867,107,847,795,456,979,559,280,804,224,545,609,100,
711,415,921,341,569,998,777,592,478,738,678,075,979,277,012,192,152,353,243,
578,020,179,969,105,096,504,138,488,009,739,609,232,168,933,200,411,789,170,
340,303,250,805,885,523,362,514,151,887,351,998,547,229,863,309,984,573,777,
313,870,673,194,400,864,176,859,957,360,661,607,163,524,225,177,817,260,028,
060,771,961,386,777,209,069,474,126,890,965,006,856,741,510,836,846,999,892,
693,392,665,314,394,164,465,873,813,563,160,097,221,047,324,405,487,106,193,
892,165,993,259,031,667,723,060,465,430,493,179,010,250,505,308,623,167,874,
924,743,070,792,979,930,729,565,749,161,991,540,397,853,237,478,159,479,733,
296,652,727,891,319,739,423,975,643,946,070,127,966,040,930,169,809,997,737,
536,298,448,988,356,753,500,995,835,002,581,563,084,737,492,738,842,937,701,
978,557,700,104,611,524,735,546,146,119,048,860,074,126,785,469,967,950,269,
300,927,341,503,248,065,730,377,037,422,170,985,275,333,702,051,375,289,408,
670,720,521,892,928,143,226,544,670,058,895,146,545,068,574,714,804,479,334,
614,751,949,222,376,373,349,231,244,664,345,933,690,335,919,098,231,552,281,
203,997,784,423,151,237,366,015,556,123,252,444,251,595,610,496,739,610,548,
005,100,965,839,318,152,342,388,350,355,816,891,536,425,004,590,828,456,949,
650,914,494,230,028,284,278,907,961,667,803,731,728,836,266,796,172,253,579,
009,863,879,907,297,744,742,143,938,384,792,868,004,523,255,359,688,320,179,
273,805,021,109,273,053,733,090,666,795,654,062,202,829,861,074,354,257,125,
931,231,932,083,883,269,122,047,648,333,879,538,124,604,932,144,039,252,622,
581,982,590,434,548,100,073,043,584,081,562,222,002,440,979,338,011,476,353,
323,439,767,449,035,755,351,462,057,680,370,835,134,001,355,821,199,392,639,
222,868,417,695,002,709,878,790,095,792,420,216,768,713,752,930,648,961,571,
959,822,890,933,754,124,876,567,941,288,203,109,858,147,498,000,534,118,712,
047,210,195,030,653,864,659,042,743,627,568,075,427,787,458,926,116,704,774,
827,227,311,724,813,382,597,367,229,850,556,295,532,636,590,442,272,529,768,
841,464,446,544,646,885,629,088,525,593,713,559,145,969,026,487,511,293,059,
948,434,885,571,140,585,965,216,411,223,922,971,060,571,968,094,885,792,649,
177,871,364,621,926,501,599,367,958,317,097,963,727,926,717,142,016,516,005,
488,664,527,744,822,532,741,443,919,396,893,816,297,299,523,323,525,715,119,
131,224,692,105,671,909,124,719,808,986,117,103,775,981,206,911,108,635,432,
524,866,915,520,294,646,164,308,093,859,041,983,957,602,861,686,732,490,473,
234,216,854,406,919,630,259,649,403,407,133,940,597,408,947,887,868,618,131,
406,907,867,552,050,844,519,530,060,501,508,053,919,312,323,742,322,019,997,
953,418,028,504,010,475,962,025,916,050,963,239,176,199,030,345,069,516,437,
758,393,109,011,018,810,402,484,522,476,567,951,951,893,477,088,484,992,837,
014,338,896,952,305,793,119,334,894,718,864,584,859,870,346,684,488,804,590,
204,371,512,097,904,557,069,910,168,124,476,528,271,824,811,767,753,535,667,
889,438,395,415,748,876,920,136,397,733,016,274,714,983,527,434,784,065,504,
755,093,298,807,323,274,929,427,610,576,304,370,358,085,174,598,528,456,218,
156,471,129,946,289,522,818,327,663,354,959,768,016,928,258,668,987,531,249,
856,426,761,923,196,636,531,581,234,065,274,571,281,655,985,362,867,113,004,
150,495,766,061,543,142,584,867,629,066,623,992,264,825,035,408,886,722,038,
128,191,373,990,841,020,366,842,998,673,768,630,102,678,834,519,449,523,739,
045,719,663,870,345,137,400,433,726,681,821,265,433,263,318,739,095,651,979,
282,607,645,747,094,387,871,887,226,770,445,231,150,815,735,152,938,572,989,
522,757,531,054,302,405,495,545,195,888,879,917,740,428,659,241,603,925,682,
002,020,613,963,537,428,912,060,439,738,154,577,317,817,412,307,092,495,759,
777,557,193,478,326,164,505,564,294,469,985,717,332,378,344,928,963,438,512,
846,679,416,564,797,017,074,943,721,460,892,534,214,550,559,411,516,093,111,
385,947,556,170,077,742,012,036,727,196,804,744,339,665,737,453,693,083,442,
762,257,345,425,420,244,456,984,383,320,850,585,446,165,706,373,632,445,816,
553,073,291,669,084,185,799,960,045,222,997,359,400,930,818,171,483,201,191,
640,034,594,417,349,507,358,847,927,413,516,407,512,411,355,573,423,143,609,
932,745,403,396,637,896,681,169,221,167,977,905,170,125,377,064,856,632,397,
891,721,640,672,336,910,197,902,687,376,124,660,378,781,794,196,924,029,558,
129,127,093,598,771,105,822,330,825,836,601,250,185,346,167,291,391,285,329,
786,652,701,879,783,414,802,269,305,557,785,647,941,600,197,028,480,362,143,
965,454,763,656,567,900,468,641,364,075,284,559,529,463,475,976,899,486,527,
080,797,664,075,564,196,276,426,620,676,326,443,045,674,222,706,187,230,997,
795,550,708,089,952,840,250,082,134,990,438,614,246,193,507,993,669,334,601,
797,588,714,449,862,592,862,764,627,919,525,554,199,006,188,176,299,249,065,
137,971,955,616,321,743,309,810,327,770,229,072,787,655,957,023,578,973,013,
858,381,297,646,189,968,685,955,438,055,355,868,388,558,127,774,456,593,670,
952,753,037,488,928,678,258,705,744,086,839,003,639,647,540,461,403,474,646,
149,304,253,048,114,788,461,510,213,810,105,653,603,511,463,993,677,131,109,
365,702,455,019,782,063,891,340,883,376,607,997,909,165,436,750,042,555,387,
582,376,179,597,004,683,958,830,976,573,557,592,227,478,712,224,840,289,364,
415,590,229,069,373,191,689,186,116,545,167,824,663,978,845,378,001,508,986,
738,057,870,174,274,815,207,824,910,303,972,324,814,072,236,434,917,878,780,
087,298,164,432,493,463,441,083,989,913,869,640,466,982,590,008,990,619,578,
546,755,137,293,054,080,157,765,534,772,448,520,417,594,191,141,291,823,869,
081,717,219,226,316,953,624,128,682,190,673,024,342,085,544,969,839,693,913,
191,614,610,073,636,610,487,090,967,778,987,485,114,924,900,483,512,767,000,
116,291,787,597,762,582,221,816,290,450,361,335,282,781,816,816,626,117,141,
220,516,235,030,140,036,861,906,334,555,442,919,619,976,013,514,418,263,809,
475,586,026,469,989,273,282,033,104,771,119,959,287,071,683,437,815,009,293,
808,824,377,731,433,834,975,461,599,325,169,420,063,959,047,740,929,922,406,
015,074,337,189,708,423,106,893,482,673,513,013,327,869,308,366,599,621,399,
969,567,227,628,658,037,800,286,252,028,142,719,298,583,082,302,969,108,165,
068,803,618,275,854,567,535,845,193,893,274,235,939,513,166,940,667,218,642,
199,349,287,088,838,615,527,536,400,535,221,846,281,312,515,819,227,194,201,
999,776,662,952,162,797,987,251,286,438,495,763,472,921,015,831,603,799,240,
208,193,321,508,586,353,290,879,947,890,395,432,534,142,243,607,826,870,914,
399,686,200,778,661,550,588,407,969,796,988,821,005,943,577,718,292,540,638,
506,353,787,516,911,255,266,239,333,367,304,551,917,385,190,592,120,763,372,
562,868,377,654,199,285,346,706,500,912,793,290,708,543,224,215,719,135,781,
402,479,234,416,486,014,620,366,220,228,021,368,780,594,389,499,086,618,797,
605,988,636,428,392,685,348,744,725,901,790,576,554,282,644,137,537,651,189,
219,227,681,936,300,454,388,652,476,575,765,385,692,867,830,173,838,848,146,
568,747,012,073,236,906,700,547,290,341,638,744,185,428,507,853,765,776,196,
049,840,812,146,019,342,357,348,809,089,198,467,596,017,944,178,445,485,946,
274,447,091,601,617,509,320,290,701,791,460,089,163,060,179,670,599,694,388,
665,484,389,396,928,532,807,552,005,513,346,196,730,403,006,583,491,194,258,
069,317,401,806,551,970,943,987,611,193,424,968,390,105,160,753,585,414,201,
662,013,174,317,362,232,715,847,006,516,575,123,698,580,089,362,841,752,358,
255,357,113,869,486,964,291,498,858,523,908,298,079,291,109,901,241,455,846,
563,914,105,333,801,797,507,332,907,759,151,256,499,211,212,025,547,637,794,
235,816,308,383,174,350,267,684,433,761,850,366,716,559,892,701,657,927,972,
537,196,941,594,867,821,224,466,776,599,570,898,060,827,508,561,210,559,405,
420,716,765,438,991,094,134,200,121,610,683,898,331,576,082,034,426,445,378,
619,574,077,215,559,407,362,293,419,064,618,170,140,275,591,008,090,738,009,
341,150,844,269,012,004,118,572,551,544,386,015,424,181,566,084,372,775,666,
253,327,772,644,363,119,189,534,306,408,068,321,598,590,122,225,033,473,069,
117,385,621,035,026,279,453,357,867,832,863,120,045,485,911,034,943,360,457,
373,134,360,066,926,024,492,575,850,980,077,210,720,748,358,307,033,348,785,
424,844,434,391,235,571,708,922,702,184,330,001,358,958,927,610,336,468,625,
661,316,788,142,578,019,246,105,885,611,097,923,081,640,121,347,467,111,810,
163,878,930,457,781,707,075,793,142,254,786,698,645,149,955,210,858,656,785,
664,074,131,605,107,351,191,714,279,146,781,056,180,315,753,011,128,666,594,
819,027,013,753,516,604,522,435,218,163,151,017,141,061,686,985,651,455,503,
129,704,903,677,452,475,864,420,628,574,217,730,300,643,028,663,886,236,317,
455,572,179,701,636,502,788,247,404,667,616,069,223,982,805,983,890,431,479,
665,841,172,688,380,341,601,717,022,378,832,910,933,908,394,733,779,747,947,
577,322,368,416,380,315,187,972,918,430,494,731,493,023,300,742,000,083,578,
123,715,765,131,895,279,370,206,698,871,918,041,769,198,583,227,084,231,508,
452,566,644,082,987,801,900,872,732,153,179,278,307,939,086,680,797,465,931,
243,344,018,653,421,249,487,513,550,897,141,613,497,623,483,566,908,021,818,
230,995,487,885,215,521,569,949,422,894,608,643,803,039,811,188,589,790,695,
341,762,219,655,867,900,569,847,672,349,674,356,240,013,531,136,152,552,401,
060,779,333,377,331,664,971,090,590,884,880,715,311,785,433,777,025,809,063,
756,822,624,034,834,570,493,829,603,965,258,175,750,798,734,942,709,256,782,
984,700,436,466,944,801,597,538,450,445,054,859,330,883,180,653,508,286,516,
342,615,307,837,566,005,902,646,779,554,142,242,826,484,310,814,789,047,858,
187,102,292,485,775,773,724,360,729,030,358,165,272,632,391,477,069,801,686,
919,654,985,851,925,178,547,937,109,602,444,577,636,321,610,106,228,664,320,
725,882,369,863,280,456,959,137,386,813,928,682,850,147,961,156,225,292,521,
681,741,386,465,632,021,840,893,846,041,570,439,043,220,907,005,241,266,453,
294,389,685,211,744,492,159,490,534,097,664,117,694,531,882,767,398,997,202,
518,521,063,608,617,908,194,817,989,562,291,073,928,006,198,019,479,199,924,
238,235,111,798,712,425,722,129,548,522,602,994,754,661,924,634,808,811,362,
814,970,687,950,615,812,856,860,363,258,553,264,229,634,751,649,775,004,928,
372,975,943,311,721,127,714,234,005,454,013,154,558,746,833,307,397,592,790,
014,351,875,246,463,075,928,592,431,430,008,267,755,865,981,765,982,754,660,
525,312,553,257,041,008,511,716,812,109,169,257,395,860,748,805,073,715,292,
835,984,120,160,916,264,673,572,491,001,020,931,486,955,411,727,298,600,861,
547,765,009,397,376,199,400,185,079,959,952,989,657,298,446,323,621,526,616,
895,391,779,710,895,105,186,219,973,173,809,100,193,577,261,491,169,443,210,
049,808,908,666,747,550,844,680,850,528,214,258,191,412,602,187,207,623,116,
648,638,789,495,312,514,131,837,952,987,642,507,663,443,671,899,400,808,272,
636,752,617,667,906,754,002,699,744,067,271,742,646,992,972,400,613,001,384,
474,862,394,431,067,806,199,018,872,419,104,514,723,537,148,760,127,133,316,
647,929,132,627,978,804,786,829,578,634,894,024,287,875,085,309,892,944,809,
047,240,564,519,563,038,844,931,419,733,540,740,850,862,963,937,433,577,009,
684,729,789,411,520,731,035,270,948,963,815,525,019,030,096,385,000,163,288,
409,517,861,956,287,727,908,640,424,419,691,350,646,719,322,392,642,461,218,
911,355,577,042,595,300,257,664,014,509,762,691,561,684,209,118,185,427,165,
931,425,304,802,600,514,861,173,886,564,614,227,805,647,430,777,860,914,258,
953,923,474,591,425,983,793,360,464,418,264,445,623,512,443,481,219,598,528,
528,279,171,576,910,906,385,342,230,513,772,319,775,231,700,376,905,906,899,
690,955,871,387,405,120,893,389,307,506,951,183,098,896,548,760,039,018,470,
540,485,862,895,500,882,873,600,486,630,335,753,188,530,955,828,258,357,590,
489,108,880,196,238,297,520,091,056,802,892,331,479,638,757,910,208,301,401,
198,989,701,195,129,508,259,352,031,978,237,370,136,394,920,439,993,579,607,
581,548,121,786,902,437,385,987,341,820,631,677,952,412,965,022,347,470,900,
828,029,239,566,894,943,090,720,503,705,056,160,421,073,879,318,571,278,597,
764,423,282,919,393,757,355,130,218,075,771,571,027,533,920,668,036,011,108,
149,919,386,390,090,756,459,297,160,333,082,716,322,424,254,874,216,557,357,
474,425,082,234,075,294,505,821,801,783,140,219,885,954,133,255,131,318,441,
198,585,570,338,068,583,018,043,801,782,438,796,539,017,877,002,012,576,482,
993,431,745,680,329,953,782,089,005,409,847,204,093,662,131,914,939,616,328,
314,239,611,241,484,613,975,008,594,860,412,366,862,975,770,981,435,108,431,
618,303,971,778,368,220,746,130,402,118,259,446,303,571,278,488,289,402,032,
124,505,348,115,628,700,553,911,305,290,190,752,280,748,149,592,776,159,517,
765,279,739,704,554,587,390,547,237,496,430,055,618,757,389,959,081,048,412,
831,508,284,555,742,731,119,579,979,400,315,812,821,354,522,491,584,464,088,
155,186,843,949,797,644,873,300,150,201,053,838,113,102,683,875,348,971,150,
219,342,940,965,877,629,322,012,285,466,799,901,499,058,034,450,347,099,003,
066,994,769,727,914,459,004,544,874,947,185,671,214,140,954,941,459,448,916,
513,572,382,076,080,276,963,140,956,507,209,520,273,739,049,191,847,525,187,
165,712,510,618,236,546,168,284,044,970,689,322,173,429,856,702,677,899,504,
022,147,820,666,619,406,752,278,787,448,809,224,788,641,016,388,544,077,295,
344,096,600,032,729,246,072,040,684,422,807,672,035,042,522,581,684,159,781,
697,291,585,979,617,362,610,149,102,245,402,859,609,618,665,280,558,311,334,
597,952,554,216,724,044,294,498,978,333,546,610,040,517,174,041,875,708,574,
310,742,873,262,160,653,728,678,198,117,642,154,592,534,659,338,404,553,921,
152,912,789,931,588,836,019,682,244,573,500,712,407,278,519,000,721,276,349,
345,990,021,778,410,906,132,495,044,205,113,459,540,365,012,870,842,984,674,
772,256,436,024,998,296,260,835,359,197,699,479,487,650,852,755,264,920,007,
645,409,729,703,527,438,437,807,108,838,868,504,124,598,926,842,816,288,330,
998,868,473,544,180,453,169,255,871,980,521,201,363,876,622,709,045,079,127,
302,343,169,993,721,580,298,307,999,588,500,575,597,257,983,754,894,480,593,
607,554,982,534,458,202,782,974,453,362,002,969,867,148,182,572,627,795,157,
499,927,680,544,758,475,520,887,913,102,542,367,306,856,062,112,733,124,600,
850,894,906,766,625,892,271,106,738,510,899,363,710,873,590,719,639,505,085,
978,683,482,572,847,810,819,649,430,629,068,553,362,214,824,264,018,402,984,
448,178,664,851,309,385,621,963,722,917,903,131,135,150,316,284,205,257,949,
875,456,923,955,802,827,017,542,593,065,497,323,709,431,306,977,917,055,657,
394,306,477,912,499,138,831,219,177,583,306,946,583,145,221,616,065,576,943,
300,682,323,547,473,137,839,008,384,975,103,482,166,658,486,658,555,501,700,
993,480,337,595,067,605,751,763,353,982,869,648,802,738,239,297,463,368,298,
899,688,902,980,593,619,857,272,929,845,670,003,641,526,923,209,483,412,466,
044,302,845,115,322,648,913,636,342,636,698,344,916,033,628,707,717,250,298,
385,255,145,835,660,277,385,549,289,422,931,168,745,746,951,232,785,623,181,
322,690,941,169,332,208,422,815,052,770,229,441,958,827,119,856,387,178,490,
407,434,994,077,534,734,586,340,075,025,715,356,267,919,993,844,915,568,359,
952,701,268,484,322,243,612,212,753,114,606,522,071,796,063,145,731,205,590,
538,021,847,970,727,079,536,322,693,045,242,969,222,890,413,055,297,978,861,
498,950,531,191,421,151,418,250,860,004,714,677,770,435,848,447,938,722,954,
253,212,733,309,556,970,199,649,330,421,524,746,868,144,017,739,396,182,744,
386,978,863,173,471,096,743,971,306,391,918,443,659,027,179,589,324,970,517,
623,546,760,196,497,892,455,389,602,747,275,277,271,066,407,914,200,426,740,
207,915,470,703,870,751,316,224,609,997,005,082,169,969,620,558,121,131,057,
249,639,751,492,860,913,043,861,123,925,260,767,461,486,001,744,106,225,790,
613,719,903,044,372,070,548,864,096,116,721,608,409,289,784,887,711,445,592,
637,055,083,045,557,064,520,449,802,243,772,975,768,073,394,222,430,299,905,
226,414,550,164,083,525,905,307,290,389,757,665,949,648,725,730,131,642,092,
672,949,067,104,141,507,506,976,028,331,408,389,041,558,634,193,993,478,951,
228,113,239,301,739,884,483,297,834,514,299,920,219,462,371,529,020,575,773,
208,300,268,978,626,945,802,648,766,805,964,964,745,344,697,146,453,471,980,
047,020,707,248,077,485,525,173,865,721,468,673,399,953,073,588,551,129,643,
549,893,584,875,993,113,078,546,481,476,716,259,845,360,647,328,328,184,887,
305,702,171,589,944,503,968,674,854,811,004,455,378,468,198,017,837,914,729,
430,649,571,318,010,618,691,681,799,349,498,219,276,325,539,290,602,671,174,
924,126,379,927,385,597,870,113,897,482,346,587,231,128,533,793,142,756,040,
821,060,476,161,037,921,747,382,464,692,422,742,576,158,441,708,795,008,781,
029,040,399,228,166,280,418,519,610,149,417,795,317,708,086,174,829,566,841,
387,497,402,869,861,434,462,418,949,154,119,091,657,611,854,185,806,245,960,
595,704,905,086,191,678,709,288,688,486,153,569,686,544,629,017,368,940,903,
299,135,726,611,096,342,817,792,472,317,619,710,660,740,747,855,676,738,510,
812,742,746,224,489,769,624,284,697,695,445,183,024,058,239,096,785,825,927,
847,942,851,927,967,529,830,444,439,219,918,995,075,842,964,202,478,406,587,
719,272,531,203,969,327,540,746,732,814,997,424,713,388,732,596,635,047,587,
398,579,226,262,460,054,733,372,750,064,481,620,961,240,427,235,555,837,151,
334,144,853,318,983,569,088,723,419,823,146,045,964,957,019,447,443,462,236,
426,358,095,176,358,806,396,164,352,611,446,163,034,085,840,896,615,372,549,
084,311,402,177,450,558,658,091,482,496,114,698,586,145,199,813,821,181,686,
576,298,495,752,934,406,621,467,577,897,165,255,604,017,165,641,493,562,021,
410,648,597,359,721,952,007,553,158,917,625,641,542,124,694,150,030,185,017,
311,262,934,598,532,937,800,282,293,296,342,371,574,331,011,401,501,719,768,
398,114,585,670,023,677,635,938,065,366,731,949,028,520,557,876,131,825,255,
404,481,351,292,865,489,903,385,332,071,223,829,870,700,713,656,895,539,663,
928,962,722,925,777,124,282,064,599,770,842,603,705,043,035,137,187,355,387,
347,951,882,949,307,859,858,484,744,295,693,772,889,142,148,193,376,966,243,
075,561,127,083,772,922,276,999,003,177,435,624,067,554,275,918,529,630,659,
127,912,595,890,521,078,802,001,309,156,937,004,986,412,575,505,386,205,820,
934,859,787,721,400,624,413,474,007,738,507,484,083,392,155,240,960,366,219,
425,735,238,679,209,200,197,398,568,614,391,438,694,236,842,021,484,355,878,
423,426,729,301,180,081,270,997,417,810,227,636,715,949,849,823,947,450,076,
799,043,258,499,635,301,934,099,289,795,876,525,613,348,063,383,997,320,792,
348,631,230,861,654,414,165,617,018,483,335,179,883,910,970,446,620,395,693,
979,762,212,373,563,710,584,695,720,245,002,437,847,677,693,076,836,732,794,
212,170,385,316,136,064,263,855,888,750,145,199,743,514,829,417,389,343,962,
134,491,244,086,400,530,081,240,287,085,967,627,469,215,174,291,168,095,045,
863,516,382,487,014,543,560,129,151,153,580,021,740,253,540,463,523,839,393,
817,146,791,378,031,121,253,292,984,413,308,221,652,858,822,754,627,414,237,
968,166,878,741,169,362,383,933,096,794,533,558,805,203,899,001,823,649,659,
052,274,191,871,107,742,163,659,279,923,811,009,663,237,450,149,810,944,616,
049,408,240,236,560,814,494,117,111,806,931,574,076,274,790,316,715,355,102,
041,465,443,732,336,579,416,784,821,698,526,547,919,810,930,867,960,932,266,
899,347,197,212,120,910,497,574,429,842,926,720,629,503,493,404,314,824,762,
855,511,749,395,898,772,093,228,689,005,104,602,782,001,911,820,073,684,366,
100,756,023,847,707,334,489,810,765,915,092,527,952,999,131,059,002,938,424,
198,040,490,463,942,496,428,057,381,575,121,448,685,930,442,680,455,332,223,
743,117,342,924,488,448,036,696,907,689,252,175,052,270,118,581,047,977,903,
106,299,988,199,528,140,127,883,677,451,949,163,278,238,474,846,799,193,115,
896,487,330,826,710,577,478,048,204,584,231,344,171,243,714,110,921,037,550,
711,775,305,009,966,700,780,727,916,821,606,003,140,874,914,878,035,755,740,
939,614,559,099,966,981,417,266,615,015,402,159,984,168,987,968,605,026,173,
910,181,684,373,234,585,392,098,567,639,242,680,197,042,316,593,085,222,713,
593,574,446,562,133,905,751,939,632,152,322,121,451,928,363,487,898,218,190,
229,624,478,760,386,715,379,563,839,326,006,370,257,748,238,244,032,416,719,
265,967,438,055,326,120,282,137,052,585,383,775,058,337,522,492,646,133,486,
678,682,629,120,819,799,185,551,573,262,040,481,787,140,342,532,334,474,840,
814,352,745,887,193,064,649,877,277,612,318,705,757,550,684,101,645,649,092,
685,131,813,896,535,525,884,740,506,846,336,556,784,835,834,231,767,261,216,
121,614,743,435,240,370,356,917,521,528,609,895,620,257,888,185,128,812,226,
689,489,437,089,798,531,389,943,167,131,514,994,989,957,178,654,293,420,459,
582,304,160,273,608,897,804,427,662,056,594,980,685,928,712,498,213,032,036,
107,607,687,817,519,125,078,657,796,644,203,511,546,613,002,429,001,031,140,
581,565,417,643,518,622,586,516,059,813,567,720,984,771,112,290,047,585,924,
288,985,429,576,521,102,631,706,817,328,545,537,450,206,443,900,317,084,908,
722,035,844,131,789,348,983,079,284,634,959,385,481,909,152,329,288,153,791,
318,993,583,040,754,330,983,485,858,700,317,772,003,657,791,787,518,051,841,
619,969,842,974,148,252,424,978,653,660,350,737,170,436,979,846,877,887,583,
131,316,361,364,454,630,108,863,920,528,132,698,009,538,298,768,628,510,290,
335,452,066,233,233,737,395,169,999,549,645,442,527,178,657,891,736,835,189,
722,663,634,189,473,172,272,870,049,283,618,726,937,666,228,758,215,180,063,
660,491,485,452,298,092,092,026,289,017,135,534,545,729,052,415,643,797,783,
570,206,379,700,512,391,988,831,691,004,059,931,132,984,276,289,126,810,504,
391,754,733,895,460,899,872,129,762,044,303,823,984,139,583,236,849,648,869,
787,372,152,562,701,866,993,416,515,679,802,413,438,948,576,587,347,874,467,
721,847,181,675,879,813,077,739,390,631,837,639,876,099,934,827,018,961,654,
877,998,171,386,360,866,429,272,486,638,218,231,623,321,985,580,059,013,128,
533,586,905,640,651,970,708,559,492,012,485,497,347,140,604,158,547,397,830,
589,580,932,162,604,153,061,096,944,150,518,830,044,972,853,444,626,663,726,
609,855,389,141,541,262,715,708,013,685,588,050,803,341,686,814,050,256,087,
985,447,866,546,826,028,055,684,385,470,746,059,379,980,049,523,003,308,095,
531,213,101,981,168,569,221,436,725,810,348,447,057,526,075,919,184,128,677,
293,184,934,701,083,132,279,812,860,635,454,500,916,857,402,852,627,073,434,
258,359,170,436,504,536,237,343,097,341,895,423,102,211,165,346,666,157,217,
028,084,438,568,637,338,200,426,401,233,867,497,654,716,992,600,297,834,789,
351,214,423,800,025,277,426,570,230,604,067,848,770,888,709,398,443,817,738,
547,368,602,560,254,668,498,389,023,492,655,881,798,487,632,138,290,258,047,
243,082,503,571,225,322,013,690,812,436,753,523,581,724,292,166,258,743,534,
466,286,150,233,482,043,847,757,412,478,743,123,886,869,864,287,395,208,717,
604,086,281,703,570,755,720,533,897,633,156,581,926,583,181,377,534,926,543,
021,301,305,858,846,287,795,383,516,952,831,992,637,188,727,718,360,169,780,
507,389,832,743,379,684,656,505,839,625,781,345,430,924,929,223,242,530,007,
298,659,546,389,194,746,828,306,122,401,731,766,621,245,065,088,125,670,545,
885,178,436,676,304,784,159,404,494,166,635,509,632,068,282,600,026,699,158,
676,918,531,549,271,382,899,471,069,511,557,933,581,030,250,876,100,183,578,
398,000,623,727,853,839,852,722,498,006,758,199,316,630,170,645,880,505,958,
245,016,021,414,103,752,377,094,900,478,915,360,068,595,146,676,406,450,840,
817,781,867,382,092,232,016,332,697,145,441,195,579,317,086,629,564,737,635,
085,030,552,049,533,595,077,029,417,643,563,083,983,815,000,392,081,294,188,
895,271,252,203,597,133,156,161,111,921,947,336,761,993,776,681,076,095,212,
075,805,908,213,677,695,989,749,184,730,427,415,033,519,878,611,672,375,151,
522,639,686,916,620,990,401,459,990,823,457,217,094,437,720,210,517,335,207,
874,667,635,778,355,683,794,102,522,929,550,696,071,669,379,003,327,479,943,
913,880,776,776,913,439,379,968,121,277,200,591,621,898,352,847,651,033,882,
415,023,532,513,230,206,328,075,890,919,074,970,984,272,387,146,526,378,742,
410,499,144,335,518,865,226,851,974,730,418,981,562,075,102,014,574,981,181,
992,049,088,452,968,784,285,556,462,838,900,352,827,314,704,175,392,245,909,
643,536,767,188,068,529,878,394,532,507,081,842,061,010,491,867,197,687,043,
212,853,933,230,430,428,916,524,852,951,404,300,584,990,771,030,680,591,942,
547,753,168,846,618,693,972,068,893,346,190,106,801,916,704,473,524,452,707,
907,305,208,938,645,837,088,099,964,254,408,751,760,415,243,541,464,995,699,
815,131,446,612,639,319,821,221,462,345,507,032,454,964,937,058,702,019,730,
501,928,249,960,681,789,547,868,849,943,693,196,735,671,309,129,376,257,175,
416,557,077,495,221,275,760,830,664,620,987,722,184,836,357,397,113,257,232,
063,128,116,684,392,449,386,261,491,057,740,624,721,800,698,012,680,538,237,
282,282,230,906,284,158,444,060,328,782,483,838,381,205,824,832,289,551,374,
928,550,021,374,133,586,829,463,000,747,382,588,356,821,098,450,160,171,734,
956,606,900,719,533,923,416,788,221,123,910,555,202,583,850,130,141,685,178,
965,735,393,424,219,937,183,940,040,886,450,640,371,980,193,519,475,528,679,
483,788,992,237,456,240,692,655,646,752,932,203,788,047,513,307,287,187,705,
071,039,443,043,351,607,292,204,619,138,639,799,644,137,902,129,434,804,351,
349,745,509,616,875,145,700,210,660,765,337,336,819,105,332,998,526,678,649,
229,109,320,782,757,825,098,564,468,469,255,940,393,900,903,089,368,572,057,
097,663,795,205,736,138,359,675,369,506,282,232,359,534,484,433,517,355,411,
557,554,440,451,102,278,776,028,921,443,075,336,188,301,682,566,742,550,464,
613,356,608,924,351,712,222,612,320,048,711,190,385,114,446,481,093,255,563,
666,301,155,750,489,156,387,460,884,929,434,035,397,946,733,487,686,633,767,
608,052,078,001,748,083,342,814,530,026,632,579,588,127,612,541,481,042,639,
503,705,303,818,408,064,441,855,827,264,358,003,523,944,307,745,356,161,956,
783,726,285,860,656,222,759,745,220,043,510,833,575,874,980,939,420,822,641,
545,256,807,940,162,674,994,867,306,306,478,082,357,021,629,259,608,649,093,
155,327,474,559,026,126,287,178,000,090,638,830,451,197,433,721,673,857,562,
421,945,769,093,619,241,683,624,315,086,120,611,373,104,302,125,551,467,703,
735,468,731,947,714,193,651,553,368,980,609,194,955,948,199,531,802,592,218,
570,947,048,239,792,795,412,026,017,975,459,642,821,485,186,906,457,304,860,
384,953,553,860,548,706,417,738,805,750,343,613,180,031,049,153,224,715,938,
424,195,713,856,550,000,129,522,951,504,407,799,213,535,418,972,150,574,534,
224,433,650,199,448,133,159,988,130,089,214,685,032,125,304,342,376,948,561,
060,320,109,722,069,335,239,250,076,511,671,276,891,143,944,205,448,517,668,
783,084,358,111,957,340,682,292,422,907,866,758,738,087,386,475,688,444,807,
089,183,317,841,039,794,429,613,339,061,031,819,285,547,246,975,717,069,091,
880,119,366,905,486,838,642,486,919,812,742,076,614,418,633,995,295,826,358,
175,529,679,407,653,300,796,936,708,039,379,898,833,514,530,391,590,835,037,
752,862,904,700,375,687,456,558,302,446,304,341,884,786,384,279,575,745,966,
752,090,891,306,818,706,737,649,699,666,372,120,777,378,015,907,439,092,064,
132,070,611,745,937,469,531,895,170,337,606,479,145,405,236,546,059,056,897,
743,338,712,026,383,230,966,546,509,559,381,331,693,058,481,186,561,276,355,
125,047,554,325,476,835,801,948,953,730,895,220,755,718,634,979,315,172,020,
320,292,084,854,735,140,205,339,352,209,001,927,134,098,688,800,387,446,512,
011,030,590,600,089,888,079,590,724,396,411,080,559,815,404,603,407,836,475,
315,585,214,063,160,306,106,501,460,649,606,635,950,801,089,760,903,908,046,
227,848,264,650,615,245,387,019,358,665,896,277,295,363,345,525,718,855,144,
813,994,311,466,244,300,582,356,740,572,992,580,410,030,784,204,743,688,770,
689,954,287,005,342,487,642,419,516,080,528,178,556,107,282,601,306,707,409,
421,900,914,202,551,678,236,061,658,991,689,795,815,512,511,097,234,431,602,
741,631,329,092,550,132,980,836,807,087,156,469,884,532,967,353,552,826,930,
039,666,237,504,978,455,602,333,587,286,380,651,828,742,854,853,294,391,244,
870,577,115,387,632,323,571,932,142,855,608,604,867,783,876,715,436,063,285,
429,080,074,625,452,595,735,091,153,441,618,661,917,339,177,052,564,076,592,
107,831,681,278,809,996,294,384,633,580,888,536,511,346,125,928,286,537,361,
930,026,698,779,937,099,570,129,294,626,781,971,702,683,555,161,893,019,109,
317,765,869,589,737,086,501,851,429,945,886,719,752,394,988,281,962,708,074,
967,748,272,448,188,392,570,823,473,523,631,322,641,544,653,915,157,793,058,
873,548,816,733,040,204,505,993,400,074,310,058,807,848,240,702,700,599,734,
908,518,439,494,289,418,207,966,452,800,605,335,316,123,456,589,186,123,931,
979,744,965,445,089,309,376,324,766,386,431,844,315,751,988,137,904,704,828,
027,722,361,785,425,686,726,358,058,754,603,987,400,319,887,608,233,011,022,
982,199,348,409,453,289,892,423,145,913,991,027,198,078,626,403,793,314,910,
694,785,746,033,780,601,235,213,743,059,216,177,051,399,819,737,394,335,572,
353,074,095,052,726,897,513,396,483,313,727,542,521,419,753,224,601,427,059,
155,477,817,047,290,025,660,974,774,867,402,878,128,393,814,291,168,164,991,
358,061,647,615,895,371,426,375,216,894,818,946,465,362,455,305,560,219,167,
382,205,131,552,676,781,204,703,104,573,068,161,655,997,378,891,704,413,090,
007,479,528,006,927,401,313,934,506,188,161,834,860,006,254,909,076,495,482,
880,161,414,555,393,257,286,254,633,271,553,288,029,100,250,208,052,033,798,
381,997,423,143,389,912,526,718,585,794,362,752,544,880,599,111,485,609,500,
952,481,883,896,768,144,898,279,828,650,304,645,809,465,848,040,847,077,032,
548,102,640,292,258,530,651,576,029,474,377,107,014,865,171,279,103,838,995,
222,313,468,942,201,892,281,434,714,241,230,410,885,727,544,115,680,007,180,
394,517,264,448,992,943,176,221,400,898,357,275,017,414,459,798,983,553,343,
510,065,454,346,414,785,733,604,510,027,537,726,792,278,758,212,788,418,277,
202,978,304,296,736,066,140,878,889,919,961,693,538,960,150,381,201,363,576,
130,491,188,712,267,944,337,746,053,028,413,261,556,379,100,259,737,567,061,
629,155,139,893,173,315,173,035,533,546,915,941,620,788,324,855,455,687,073,
284,594,817,762,405,033,013,036,781,393,952,155,079,527,615,222,900,413,931,
419,510,707,430,412,371,020,235,042,263,348,574,378,128,088,300,924,394,778,
791,652,908,866,150,732,220,324,088,865,531,271,678,225,999,927,029,479,123,
207,438,368,615,161,061,194,973,690,321,496,123,486,658,008,102,657,915,572,
982,145,094,148,957,326,745,379,044,049,097,714,774,178,036,867,939,347,971,
129,663,549,661,185,359,433,115,339,702,835,786,853,942,107,849,961,203,523,
832,373,100,865,924,615,533,416,731,453,354,246,576,274,657,808,861,722,159,
946,689,720,622,801,628,582,533,159,401,956,425,966,994,081,670,723,491,450,
715,421,663,554,499,924,571,169,321,989,003,027,215,119,837,406,064,297,089,
029,825,104,857,234,672,675,366,338,616,935,937,846,887,942,786,173,305,198,
178,420,508,178,124,513,148,372,992,592,512,873,230,566,758,989,530,268,157,
683,853,907,859,494,567,847,928,819,827,318,547,663,351,490,921,656,659,051,
146,748,010,943,748,005,437,230,984,098,960,167,589,306,737,806,331,026,361,
389,689,247,661,126,892,475,843,154,525,493,213,865,488,730,558,034,830,175,
352,960,544,210,516,683,085,989,637,907,547,973,138,933,439,461,365,781,728,
141,545,696,384,961,313,148,240,443,644,474,130,686,883,697,126,011,681,990,
748,920,218,858,983,265,679,306,882,836,548,472,799,417,444,015,800,628,044,
331,670,494,439,913,785,843,033,616,102,164,070,994,089,233,417,282,855,615,
877,426,005,533,404,279,418,714,652,208,276,995,813,436,320,440,170,790,605,
488,856,147,547,138,783,448,744,083,066,889,285,654,263,266,909,960,004,747,
916,867,389,433,528,432,357,047,535,259,888,313,027,400,181,344,080,073,486,
735,179,643,843,569,033,903,576,689,873,318,651,612,571,879,815,822,189,260,
126,101,128,107,883,193,323,294,262,934,488,061,842,277,604,772,773,099,531,
159,842,782,174,209,726,907,636,905,513,231,792,440,682,171,377,988,762,207,
317,631,993,993,911,080,620,725,250,602,235,490,921,720,063,583,483,582,384,
200,781,116,243,002,889,079,922,307,434,041,461,144,526,230,013,818,252,634,
491,696,405,190,884,607,249,855,696,092,204,395,554,710,480,410,747,921,256,
547,938,860,536,620,005,770,604,017,685,437,637,758,250,215,943,882,218,432,
978,551,668,095,173,036,984,108,644,552,996,732,234,260,359,395,270,578,210,
140,539,985,691,417,509,019,897,880,009,817,431,088,229,133,233,523,877,511,
293,876,495,050,847,156,818,878,300,378,386,779,029,892,060,668,308,286,262,
300,300,564,756,873,340,749,755,222,680,783,820,103,530,862,158,180,339,258,
950,387,949,665,044,043,712,646,035,611,278,629,869,881,419,639,704,586,896,
114,729,326,053,798,200,557,303,248,001,565,878,153,354,819,132,322,331,279,
547,595,717,603,723,746,362,686,422,302,844,863,868,781,019,018,765,466,841,
313,717,048,181,906,339,138,223,015,494,077,367,450,852,241,792,499,100,198,
990,005,155,032,353,920,571,873,641,597,747,536,479,672,051,108,667,559,439,
359,726,108,512,173,358,690,147,157,454,984,452,584,627,510,287,115,549,469,
812,579,564,238,653,036,956,324,063,336,608,531,143,341,464,011,953,902,729,
584,490,943,400,314,019,429,053,627,889,816,095,913,281,185,360,808,274,021,
801,123,206,059,562,838,110,322,230,479,450,588,042,220,000,689,683,159,243,
605,887,169,116,464,091,818,173,148,378,372,935,439,988,055,216,169,029,826,
146,816,879,874,070,308,462,316,293,853,236,622,603,697,069,527,675,095,456,
138,791,001,357,291,427,855,027,445,816,824,421,400,152,819,592,544,122,935,
988,158,169,606,466,570,799,112,451,937,356,519,957,716,226,993,187,159,809,
075,301,426,756,429,210,258,292,322,764,574,365,021,004,622,629,765,843,153,
469,197,443,146,125,338,665,989,802,815,625,165,126,493,772,438,515,863,573,
373,993,528,088,895,216,935,381,110,771,028,570,773,689,548,240,515,525,713,
965,199,316,666,650,272,343,092,919,729,239,298,280,516,740,451,814,457,112,
282,265,795,596,109,625,347,108,661,641,272,773,826,482,086,845,326,338,560,
663,450,075,728,406,126,160,544,304,456,096,590,717,050,972,374,296,426,823,
034,388,207,774,210,415,279,483,166,945,961,362,482,540,274,331,758,362,301,
522,152,352,668,494,093,353,072,218,940,292,756,930,148,575,110,511,236,783,
622,977,567,996,108,170,480,280,075,854,372,304,755,613,784,669,559,527,462,
488,365,094,209,815,896,796,264,356,647,501,793,727,710,953,122,944,284,730,
316,925,410,131,936,088,289,184,188,293,852,355,128,193,759,784,678,524,683,
144,439,810,513,947,909,777,335,158,433,401,978,594,076,319,523,594,751,860,
166,110,073,267,703,173,302,618,750,078,336,077,099,700,076,622,353,935,113,
973,812,565,259,479,904,381,752,009,732,866,058,898,056,594,701,045,130,555,
170,088,155,305,454,857,185,195,380,746,314,376,985,593,469,252,036,075,576,
575,295,080,150,292,789,725,736,043,444,175,434,512,270,855,024,682,113,734,
879,825,266,637,559,873,092,424,342,928,401,723,706,985,704,702,961,431,178,
160,747,984,733,897,246,365,209,788,847,706,146,244,938,235,411,254,467,473,
146,727,481,258,393,540,833,152,350,053,555,141,525,680,843,890,748,772,631,
634,467,781,546,485,950,731,240,155,261,061,201,147,466,375,981,922,056,298,
103,653,733,199,437,883,050,220,543,281,110,038,191,860,656,171,651,941,196,
521,648,752,709,174,454,853,356,204,882,748,948,784,696,538,504,764,801,982,
487,814,045,828,791,376,220,569,370,665,504,168,656,452,592,192,816,973,512,
428,394,580,250,673,598,849,194,286,092,935,872,216,218,377,177,890,562,507,
077,026,862,953,906,473,795,553,395,607,617,809,449,494,105,487,048,425,255,
016,359,124,542,264,996,438,620,969,319,841,222,247,307,793,532,830,076,696,
878,902,931,329,175,858,659,203,205,273,956,561,237,681,481,206,868,257,175,
857,226,922,768,506,738,596,705,930,690,411,614,050,499,589,872,131,416,259,
906,045,787,897,566,705,894,742,174,728,816,406,942,584,362,603,017,365,122,
425,391,407,741,393,268,100,654,356,486,783,466,173,171,572,613,341,644,856,
049,196,376,728,399,643,947,363,798,164,593,511,554,576,867,719,465,583,130,
028,839,369,027,072,823,221,988,915,961,729,318,607,148,345,713,607,692,987,
351,257,731,667,421,903,948,271,146,409,144,671,391,903,761,622,468,996,335,
642,900,164,756,674,071,767,793,181,434,629,040,083,149,347,318,325,769,480,
152,649,205,463,630,742,385,721,448,465,672,066,094,497,388,308,664,715,960,
226,551,164,530,582,452,606,692,054,210,097,587,231,921,193,029,620,396,191,
109,838,969,804,799,188,231,608,319,226,452,482,421,376,450,325,154,212,057,
530,632,790,459,595,539,545,953,122,285,788,300,751,758,475,652,509,272,060,
448,740,167,026,946,306,642,789,132,405,478,934,657,678,323,315,387,138,519,
735,973,076,769,578,635,486,622,868,817,973,943,189,079,728,427,366,162,094,
554,176,434,829,370,477,799,628,803,131,007,306,727,633,559,600,575,963,692,
968,847,384,357,553,798,997,557,745,946,020,866,627,291,612,685,876,738,354,
488,189,061,237,358,144,121,719,595,891,712,297,341,494,696,787,650,675,858,
214,805,235,751,908,193,643,384,806,559,161,817,089,397,053,157,377,825,947,
294,827,802,809,216,459,781,407,429,573,221,900,805,820,361,441,619,073,707,
152,696,235,081,377,635,935,623,718,996,404,641,369,123,936,019,409,816,672,
278,629,614,027,346,278,185,200,996,124,977,775,861,038,635,708,323,239,303,
881,343,911,069,180,035,295,244,138,698,625,223,322,797,451,732,218,320,808,
394,148,798,056,835,730,442,881,337,795,731,578,040,067,414,110,494,629,968,
135,336,939,719,620,013,870,143,220,315,860,678,782,517,467,907,476,267,570,
057,852,449,488,272,612,892,694,434,328,687,725,621,179,140,785,011,445,105,
323,315,970,614,780,631,410,381,926,062,975,914,167,341,407,669,644,435,921,
709,343,909,836,640,966,464,075,051,180,511,572,605,454,794,917,630,609,171,
288,844,721,235,426,058,558,164,664,854,975,114,243,478,017,065,699,851,688,
255,943,552,290,655,895,793,454,373,165,841,362,551,524,595,411,918,847,854,
159,407,834,775,235,193,443,510,283,124,628,611,826,554,671,155,883,252,742,
010,303,818,103,368,938,839,472,470,358,909,072,630,695,550,005,473,457,633,
125,843,098,399,202,083,076,933,489,347,105,415,578,174,091,321,095,024,405,
951,435,616,565,507,313,810,687,901,279,166,722,500,095,821,560,506,052,946,
726,275,824,625,035,243,750,505,426,816,059,670,351,829,916,092,586,550,660,
060,103,230,101,698,867,129,744,689,801,178,023,409,383,645,850,611,998,907,
751,659,583,659,676,540,923,834,626,110,744,744,629,546,481,918,022,205,082,
288,936,645,192,515,768,133,034,486,370,080,553,784,328,520,330,106,374,915,
820,750,710,953,490,598,492,751,890,859,912,934,772,482,652,659,431,691,899,
766,129,474,272,540,192,897,029,968,118,162,461,060,539,713,939,391,184,548,
617,725,359,111,917,698,262,677,570,485,818,207,508,363,464,214,419,830,351,
236,378,366,223,392,419,532,201,130,787,766,075,724,018,029,940,966,355,623,
660,843,435,525,588,818,826,086,467,094,500,809,153,499,049,878,587,050,587,
053,297,059,980,708,258,843,113,798,534,699,663,567,448,552,872,987,328,649,
102,021,404,298,185,070,035,254,033,115,094,108,758,313,130,554,077,590,963,
828,973,497,284,729,167,504,514,809,096,100,291,126,043,362,766,207,444,401,
566,253,447,458,069,053,351,996,406,169,383,550,566,874,109,235,950,738,794,
781,516,297,722,507,950,489,170,718,627,184,325,676,564,682,270,268,591,527,
984,890,572,652,754,369,773,964,831,549,917,228,169,183,312,090,667,873,744,
323,652,557,763,459,908,409,767,741,257,200,601,790,387,911,133,178,583,717,
113,194,828,010,461,609,074,145,439,787,501,548,396,788,154,798,761,619,276,
697,479,715,651,984,618,604,162,605,031,715,019,481,412,493,156,213,608,096,
924,660,183,688,370,554,560,513,434,662,157,694,314,139,289,294,212,624,325,
296,037,753,268,617,384,997,255,232,774,577,469,634,696,436,279,343,505,358,
826,184,974,024,235,074,550,760,065,289,891,470,509,552,497,517,235,640,254,
189,948,535,972,686,025,099,350,353,980,928,095,167,424,393,405,738,370,877,
034,615,704,928,209,822,336,682,927,659,604,126,990,370,367,387,543,074,603,
976,643,189,341,150,159,724,310,378,152,095,926,907,322,751,213,445,574,843,
632,811,904,778,607,745,185,388,014,331,700,071,041,639,378,877,060,955,211,
366,215,888,525,280,121,975,724,511,843,675,513,667,318,224,566,442,245,226,
737,227,604,596,066,713,801,142,592,032,172,580,821,207,309,666,746,354,209,
831,411,655,119,074,996,947,467,366,922,045,606,374,177,493,924,831,043,381,
623,628,658,642,164,875,711,872,743,627,261,012,611,053,822,736,192,769,173,
908,170,327,722,278,368,652,350,274,350,404,896,271,149,869,545,385,529,418,
108,930,497,934,787,229,350,286,912,853,207,362,573,655,113,933,773,597,375,
151,287,354,506,109,596,739,403,042,052,830,278,326,997,627,486,768,060,827,
277,379,224,723,843,060,959,977,103,233,929,479,742,086,714,891,478,835,305,
162,249,774,548,647,815,625,437,429,121,950,165,787,410,336,674,824,618,614,
863,324,430,014,888,740,719,200,214,961,664,532,119,264,470,224,392,615,887,
079,378,568,303,080,483,861,061,243,021,344,451,204,383,662,748,879,666,877,
290,021,843,115,415,559,565,988,730,400,723,513,006,761,441,235,068,313,878,
807,048,834,568,130,989,875,308,068,053,241,799,514,576,779,662,782,657,305,
026,304,375,126,132,935,987,087,677,777,664,429,011,043,012,476,248,485,931,
004,862,084,318,242,517,108,060,200,418,174,421,015,071,437,756,153,199,447,
999,585,554,894,508,977,092,451,678,743,500,461,472,359,709,833,261,565,451,
792,011,510,967,906,617,666,265,334,043,234,984,790,541,252,153,620,899,436,
897,626,614,423,053,375,426,400,256,686,779,962,932,076,700,826,788,199,522,
772,612,794,624,030,472,961,750,742,806,057,638,284,294,900,444,751,374,991,
845,621,427,509,423,588,788,252,403,653,895,004,885,752,460,889,874,682,929,
893,181,269,159,036,114,100,535,532,776,330,281,544,617,349,847,180,583,469,
867,746,891,179,722,913,391,082,766,958,711,990,464,071,773,446,617,406,129,
960,373,594,875,869,071,555,326,071,808,841,064,629,595,606,933,889,781,848,
448,727,481,783,541,234,156,693,726,756,982,299,423,543,174,657,006,289,228,
712,044,295,805,897,541,542,610,740,813,069,604,348,402,004,261,934,252,878,
169,042,912,694,261,236,074,952,720,062,595,332,903,799,113,030,252,052,442,
309,576,699,012,068,182,539,035,618,879,350,495,302,072,007,511,734,174,242,
871,975,885,246,890,332,327,634,975,639,390,395,745,926,119,989,746,353,456,
877,098,071,552,655,748,035,527,930,188,466,402,227,662,206,158,577,343,263,
550,468,905,930,322,400,996,715,005,018,188,026,578,416,615,619,897,461,322,
950,676,293,757,370,295,435,385,429,070,830,042,308,345,817,360,617,456,568,
571,706,879,552,918,780,016,214,821,794,355,038,277,271,692,432,071,804,289,
496,925,506,961,741,993,742,328,149,347,259,319,000,297,261,693,664,493,539,
356,840,600,122,798,713,384,165,402,017,331,095,271,864,898,586,117,603,168,
239,514,099,384,090,998,172,125,802,071,169,721,301,363,071,233,623,121,244,
540,450,921,318,118,504,463,296,126,166,179,726,180,228,314,250,138,775,513,
301,882,515,703,714,618,171,374,880,518,970,023,782,486,403,358,080,732,169,
862,412,689,147,679,563,967,771,974,402,499,016,689,218,830,970,632,179,496,
887,121,640,733,746,582,322,431,441,748,282,829,751,730,091,767,360,137,544,
450,080,835,793,647,601,174,984,456,459,477,163,240,165,300,854,638,817,322,
195,728,436,348,638,010,981,153,328,644,934,857,420,070,092,549,856,454,348,
194,918,618,682,795,760,035,079,336,773,273,100,541,292,247,850,645,728,752,
595,825,855,355,359,252,092,270,884,786,704,985,806,011,280,071,681,234,915,
108,240,429,736,099,108,024,964,272,381,461,090,152,838,705,519,104,738,262,
097,347,931,659,693,942,226,135,839,069,848,771,008,035,342,721,336,235,530,
493,044,425,420,382,090,429,000,246,805,483,385,967,629,689,089,013,620,030,
556,880,755,516,244,460,045,643,718,602,251,178,889,104,259,644,207,523,741,
140,565,379,319,756,435,154,152,302,376,301,078,523,533,291,690,648,057,454,
629,991,736,578,917,053,958,617,297,377,920,022,958,840,722,496,163,135,071,
050,571,259,665,413,442,556,392,872,551,127,772,431,925,280,090,946,308,094,
192,999,080,414,955,472,943,639,348,711,956,816,998,014,116,415,274,782,795,
215,832,003,551,429,916,981,239,111,021,070,769,224,457,865,395,009,410,093,
054,474,059,527,532,309,125,430,152,707,372,533,446,509,281,470,616,572,595,
146,372,212,680,085,254,265,538,262,728,205,232,005,172,264,336,520,439,275,
383,222,408,754,155,724,780,842,439,106,847,445,084,461,795,518,698,397,823,
253,190,639,241,993,578,425,366,208,585,319,394,538,270,271,214,229,001,319,
805,073,435,417,277,888,903,339,206,819,658,122,818,637,978,705,488,255,544,
004,267,721,940,564,565,183,558,797,783,343,381,939,848,656,213,230,353,949,
863,047,297,506,916,581,317,699,575,810,576,208,731,929,189,726,774,379,588,
271,000,026,877,670,680,434,642,744,140,592,573,142,699,952,853,829,946,068,
180,799,442,395,285,659,417,886,950,085,747,450,725,641,028,111,504,494,352,
007,446,865,984,404,832,500,350,255,119,213,310,015,043,945,282,811,855,256,
975,763,356,197,018,958,829,669,198,311,515,572,709,325,642,387,907,741,071,
624,939,752,201,261,758,273,508,013,263,369,150,831,163,665,989,755,234,344,
005,715,954,363,397,606,406,894,864,699,501,625,611,958,305,790,137,581,914,
926,362,023,056,689,839,789,096,764,055,071,441,719,833,841,054,036,513,810,
188,627,269,449,967,206,146,754,478,497,064,391,618,366,892,036,690,252,703,
325,838,735,503,909,898,557,587,020,038,079,146,082,933,627,645,506,758,601,
198,228,540,116,348,686,517,379,728,494,995,580,950,917,098,434,169,102,750,
537,228,865,077,218,271,567,918,723,207,165,997,678,526,377,220,765,705,417,
177,966,458,379,030,909,384,708,679,126,972,103,748,381,534,756,113,871,906,
466,313,742,897,272,465,484,621,116,100,565,835,869,333,606,423,160,709,295,
420,405,828,917,768,390,919,240,987,163,783,730,180,937,949,221,049,329,342,
830,651,496,391,606,524,600,800,575,745,789,793,491,408,199,246,417,215,097,
864,979,410,649,275,002,987,035,165,240,773,780,450,133,960,434,130,614,061,
306,134,938,178,209,514,992,274,191,534,693,861,921,364,833,643,294,179,744,
231,732,572,786,779,130,457,534,977,900,410,011,663,280,809,099,573,813,398,
131,426,681,783,305,385,779,424,408,655,353,864,230,318,098,166,597,517,703,
119,264,232,594,793,823,981,733,884,592,772,819,201,792,363,856,037,157,166,
947,993,276,726,703,494,374,567,273,739,159,149,302,212,532,602,433,193,153,
977,794,203,318,928,230,204,355,992,406,936,412,290,948,769,558,542,666,875,
356,883,516,141,503,947,404,639,602,124,807,752,289,865,296,503,403,100,578,
709,217,785,802,596,541,205,390,513,732,816,808,631,285,116,168,465,113,869,
692,458,080,709,793,814,742,079,620,671,994,769,934,293,766,598,136,940,434,
322,937,900,614,342,851,388,734,362,799,374,437,573,465,287,897,388,919,130,
680,324,900,034,084,224,334,175,345,693,878,563,782,341,960,276,351,166,756,
277,247,629,343,768,234,316,281,101,322,504,931,731,850,972,106,882,725,246,
839,270,482,155,567,523,138,123,438,213,823,854,834,545,700,062,200,839,435,
689,013,947,774,214,775,255,426,562,211,796,663,760,527,022,380,270,712,217,
433,652,607,687,459,529,555,181,887,125,167,464,150,372,417,122,701,566,346,
058,193,522,744,076,595,796,681,420,279,662,927,366,879,382,118,703,635,375,
341,902,132,658,372,875,032,757,350,477,244,214,343,868,434,155,296,178,485,
544,098,349,716,240,565,640,458,255,600,802,899,768,303,871,410,952,170,856,
188,395,348,713,417,013,786,241,086,811,351,111,343,313,941,805,879,731,171,
898,912,984,311,772,888,955,296,554,929,131,579,141,818,770,069,169,775,786,
847,896,102,190,116,169,064,052,332,812,247,046,319,113,165,551,786,754,702,
843,990,051,992,025,507,980,109,714,888,136,900,399,569,050,210,778,448,934,
677,054,737,240,541,730,197,746,327,883,045,530,619,383,697,839,386,910,444,
870,551,744,337,217,467,590,663,317,747,980,638,647,964,756,555,885,837,216,
823,657,740,567,888,199,569,421,401,846,054,363,652,315,075,827,062,259,359,
029,599,834,399,952,763,732,202,903,868,785,343,489,978,604,595,120,515,945,
657,495,486,889,374,731,926,255,508,787,126,575,207,111,040,374,003,992,899,
784,840,613,554,451,791,073,205,782,767,519,476,430,899,409,531,557,108,407,
268,516,567,278,619,155,293,782,650,106,238,024,828,871,967,675,560,101,551,
083,687,762,212,144,283,325,129,471,112,722,007,914,301,026,776,830,911,285,
917,884,509,768,415,869,425,976,928,769,546,486,501,550,475,110,991,450,157,
632,835,747,251,294,230,764,797,807,066,487,133,811,954,892,052,180,635,132,
638,882,136,151,625,534,175,091,029,313,040,873,232,513,367,399,624,105,878,
321,971,756,462,268,037,430,166,627,939,308,926,221,471,735,319,264,122,979,
175,706,393,144,579,802,366,703,645,231,971,795,009,486,624,730,282,253,981,
822,284,177,425,685,943,365,531,191,076,216,965,920,753,070,596,379,328,511,
712,184,697,814,545,520,262,031,117,632,635,922,470,075,474,949,259,034,507,
211,211,269,806,418,714,932,967,345,982,820,614,101,782,093,099,618,013,078,
134,058,456,632,028,740,097,903,682,483,566,920,190,567,410,801,861,537,187,
142,728,260,149,147,966,399,295,354,856,830,617,160,365,380,298,729,944,395,
528,885,602,916,413,542,663,176,577,213,439,400,420,854,009,597,180,114,458,
773,015,693,295,662,356,269,343,963,926,527,892,129,812,693,564,036,586,464,
148,121,009,301,978,036,136,412,391,261,277,001,956,223,930,507,171,423,129,
618,103,428,124,238,075,545,929,861,271,577,311,332,120,763,842,759,429,414,
865,967,391,771,641,089,788,400,559,892,974,548,190,006,008,681,800,428,139,
831,200,771,601,812,045,869,639,576,696,094,379,084,696,074,227,438,960,692,
240,726,410,262,360,813,422,963,089,351,083,044,485,885,691,504,045,269,493,
675,516,353,534,941,301,164,503,228,934,611,105,884,091,001,150,230,223,441,
420,927,593,115,999,799,659,551,644,980,563,402,276,263,684,378,733,772,776,
788,968,044,959,039,954,989,427,065,585,481,035,980,201,124,351,529,148,650,
262,739,016,349,581,723,791,006,754,875,406,020,366,671,773,059,386,667,623,
744,013,745,424,539,891,203,992,144,875,161,368,765,837,038,170,752,382,823,
567,985,665,256,407,169,223,486,199,088,277,619,089,379,040,152,528,381,027,
872,916,972,669,427,764,013,926,799,097,605,206,848,442,642,253,470,009,461,
891,325,920,904,137,709,111,443,018,352,714,570,968,758,243,710,551,054,836,
724,836,691,158,693,767,549,746,989,563,903,041,359,724,296,504,508,748,636,
297,728,258,877,089,770,409,313,316,132,193,909,416,023,784,819,573,101,929,
920,518,123,736,976,448,152,379,117,132,652,961,291,707,199,914,604,626,873,
363,644,634,305,615,092,135,279,419,354,807,093,141,961,071,436,667,824,407,
905,906,778,509,774,343,232,015,282,468,309,937,923,333,207,222,719,368,685,
866,838,374,173,446,945,040,900,565,718,194,498,141,066,569,705,953,330,122,
534,033,330,483,261,376,908,259,188,832,539,271,411,080,110,480,739,952,404,
953,487,329,148,202,508,086,927,808,380,177,994,512,466,359,530,520,663,639,
811,973,071,541,572,992,482,673,117,056,942,479,861,487,981,167,327,880,505,
350,453,550,706,525,586,797,054,307,674,858,567,988,688,437,398,581,172,687,
552,606,330,679,609,335,014,410,611,605,783,035,935,351,882,648,358,888,250,
477,054,714,007,230,908,320,597,026,164,897,119,748,924,362,856,338,021,163,
282,644,482,408,606,797,989,930,071,109,585,812,136,431,012,129,450,150,189,
531,250,458,157,489,368,187,637,739,913,842,999,940,016,583,375,062,698,608,
197,402,600,924,713,861,343,600,882,014,907,687,492,768,431,783,648,398,850,
755,703,698,759,756,773,665,621,765,444,804,649,911,800,194,964,384,390,196,
971,879,143,828,163,553,758,311,176,830,961,557,099,370,316,448,186,756,631,
557,276,205,123,250,407,062,785,923,668,671,448,123,195,851,256,453,458,348,
497,533,968,194,590,164,001,707,959,152,530,593,324,313,248,211,871,524,396,
714,700,524,422,815,183,456,211,471,187,611,618,427,894,876,884,983,484,329,
605,577,150,502,568,465,379,445,587,525,776,994,293,694,891,169,491,477,424,
020,494,559,762,576,243,926,223,593,312,739,741,435,525,904,822,428,764,783,
990,081,216,873,305,995,955,023,923,335,973,203,660,305,659,627,909,202,647,
749,656,525,583,468,609,319,245,154,189,764,920,495,904,327,450,367,459,564,
094,232,106,062,415,606,028,670,476,733,597,365,471,372,810,385,080,572,188,
346,538,801,090,594,396,263,214,926,122,144,858,866,556,019,174,141,321,108,
641,577,584,768,534,077,794,370,146,424,731,583,975,898,441,859,248,476,625,
578,684,589,953,137,357,098,993,514,529,721,429,875,826,250,178,331,454,233,
325,281,594,626,668,777,375,600,680,073,044,598,747,540,097,256,075,134,392,
184,165,434,604,782,609,614,964,914,357,071,180,859,026,493,759,265,390,226,
214,304,206,328,637,469,204,278,819,146,576,330,506,596,110,579,204,505,591,
827,432,160,450,940,010,143,507,117,672,819,973,139,118,528,286,976,370,807,
379,152,070,474,416,660,984,722,268,851,466,569,446,223,880,902,866,497,169,
887,931,249,055,622,193,388,347,171,326,036,136,556,083,493,155,578,964,957,
372,514,299,485,487,236,033,030,203,467,589,557,642,598,273,817,738,435,523,
462,980,332,417,054,231,462,227,203,041,636,220,135,017,298,600,874,472,057,
586,274,740,614,346,548,190,026,835,162,361,837,299,471,750,476,292,792,791,
958,691,802,780,721,715,746,513,594,428,966,697,218,211,542,044,106,007,081,
388,453,853,783,381,049,431,406,512,161,788,049,211,152,185,501,120,658,389,
048,328,757,872,326,213,889,259,686,631,564,682,789,960,835,422,718,895,865,
798,397,601,243,134,954,983,461,073,157,906,713,403,005,641,871,630,123,515,
986,460,092,243,056,949,908,789,382,302,145,395,568,605,661,934,421,253,789,
334,363,087,229,914,205,199,901,813,977,493,820,082,834,074,512,084,197,841,
748,480,406,720,185,461,570,744,289,095,773,383,449,026,424,322,892,270,521,
244,444,771,503,497,513,366,138,109,771,838,595,452,825,319,993,355,800,955,
605,703,537,831,308,925,480,438,576,317,629,206,927,205,272,658,995,477,184,
640,355,009,423,399,388,865,179,044,868,223,861,239,967,667,162,889,852,660,
300,233,273,622,441,485,493,939,372,991,655,197,329,102,009,018,731,886,259,
945,258,987,825,249,852,158,955,288,606,608,771,898,312,362,159,888,932,406,
248,073,466,411,157,937,823,322,154,535,935,336,228,043,518,638,017,117,785,
724,458,037,341,489,959,190,616,899,382,073,164,977,750,671,125,331,822,122,
487,503,783,519,898,045,379,767,341,671,535,144,968,948,893,279,604,429,323,
807,948,660,551,746,776,838,078,471,509,590,854,880,453,824,509,368,462,494,
507,896,304,663,342,447,406,370,938,423,922,074,011,181,596,980,140,583,997,
941,145,195,241,853,204,178,084,304,655,477,553,410,945,985,315,360,759,041,
032,635,804,764,728,645,315,366,696,952,100,554,921,885,394,468,093,400,830,
175,244,468,397,714,447,538,007,886,717,071,764,575,901,359,342,331,848,308,
017,843,738,168,103,648,855,471,600,393,898,392,096,289,421,459,197,289,944,
613,508,038,590,519,218,209,549,132,639,170,047,423,727,176,142,409,287,920,
970,553,022,449,252,156,270,241,954,079,111,797,302,478,050,860,844,433,044,
299,076,742,366,451,262,433,283,123,361,279,642,381,200,602,856,364,950,794,
867,020,803,989,535,279,593,683,998,733,132,100,951,440,081,831,406,667,105,
870,573,842,190,810,563,112,572,416,736,903,373,317,964,834,084,565,614,774,
796,220,687,864,778,479,149,361,170,717,546,249,591,933,692,089,478,867,958,
755,816,316,781,973,625,833,211,824,216,190,897,924,686,293,690,560,623,525,
440,153,512,517,233,922,393,728,356,978,971,222,422,238,239,070,803,441,059,
451,912,120,724,989,685,634,291,395,133,536,939,052,633,331,581,829,461,385,
500,830,939,979,135,753,276,361,221,895,240,193,640,426,602,862,768,307,666,
621,247,969,643,366,395,479,527,059,105,263,602,455,232,587,377,560,996,821,
519,749,409,919,780,733,703,229,913,529,856,611,573,228,030,349,470,677,963,
103,547,453,286,878,064,302,585,464,164,833,718,747,647,419,215,310,696,345,
113,970,848,534,578,112,451,119,201,149,421,528,786,005,839,956,055,088,347,
584,520,853,068,801,209,936,688,883,235,324,360,167,968,490,455,862,445,701,
230,074,716,008,215,957,985,704,556,540,796,309,014,122,790,655,051,281,479,
480,673,544,694,992,280,077,487,037,314,402,630,468,599,496,248,580,181,107,
460,659,445,531,465,191,955,657,110,682,532,857,445,179,088,475,926,737,179,
209,104,239,736,095,334,864,349,761,450,683,048,678,462,420,563,287,784,178,
604,917,807,403,940,940,828,027,454,799,299,619,009,352,675,369,473,344,824,
942,829,321,096,017,102,040,865,720,498,638,761,292,599,941,986,511,326,733,
847,523,231,306,149,755,551,910,025,266,018,069,446,398,556,885,138,842,580,
264,497,895,000,006,904,148,574,154,845,020,922,249,415,967,350,587,093,021,
264,262,588,038,504,296,989,811,605,212,660,827,468,218,685,190,862,451,639,
429,863,536,228,776,787,602,459,144,533,739,151,102,298,755,836,117,078,167,
375,641,045,507,679,456,438,619,274,213,832,063,491,725,192,146,646,481,355,
848,701,954,832,337,442,895,351,107,680,981,080,792,873,878,399,419,621,986,
741,560,348,293,679,327,555,581,407,796,821,124,598,729,858,060,228,051,131,
500,343,864,506,103,093,599,321,824,150,317,820,046,987,665,456,968,525,119,
834,195,002,369,823,657,756,678,293,688,068,221,280,049,846,688,329,941,475,
962,485,453,242,432,518,537,915,646,760,081,546,336,303,652,870,137,488,647,
599,067,447,667,306,474,349,316,892,420,212,540,159,622,779,551,590,269,797,
111,750,858,628,863,686,652,007,027,021,620,720,318,044,143,073,098,138,557,
046,826,777,033,398,958,606,956,152,223,384,124,843,280,802,137,087,707,430,
863,223,919,396,211,604,549,894,918,332,619,978,084,712,638,617,912,617,230,
605,861,385,676,944,005,056,864,788,387,478,554,913,399,260,071,971,093,043,
198,848,996,058,018,387,137,080,864,294,212,458,242,159,782,704,981,843,327,
354,551,711,048,862,836,125,774,776,533,788,910,984,857,286,103,189,965,336,
894,768,557,508,279,183,203,333,252,509,317,056,498,372,233,415,715,391,448,
256,039,688,017,777,318,931,680,190,225,662,575,797,916,986,658,206,370,389,
797,789,288,835,119,067,703,567,479,341,339,980,860,435,934,285,867,997,440,
315,552,751,821,420,987,491,732,723,600,308,159,530,783,007,633,358,555,613,
035,818,540,711,631,556,687,329,664,058,575,175,102,673,485,528,013,308,083,
819,654,641,725,281,165,248,304,113,410,622,650,130,790,306,263,598,846,759,
874,116,971,499,480,110,440,978,205,095,259,630,065,813,001,043,668,357,421,
213,768,572,139,877,854,430,534,135,109,972,065,914,519,638,489,377,303,895,
053,524,993,830,427,485,588,210,087,656,385,004,855,602,630,774,785,761,744,
766,373,185,874,592,594,686,693,534,942,108,982,202,461,586,307,358,816,289,
932,553,339,921,015,482,040,421,934,493,212,322,910,292,568,133,891,011,643,
381,005,364,627,305,663,782,984,434,856,159,848,316,722,529,826,278,551,474,
239,785,366,667,825,180,655,762,175,674,541,362,468,217,122,943,922,532,176,
280,680,506,318,761,751,983,711,578,788,081,874,866,447,900,634,085,797,770,
062,978,302,232,200,962,006,139,743,042,823,660,627,427,015,325,596,903,979,
693,999,726,737,055,641,411,913,729,338,230,533,825,241,252,857,482,857,231,
307,635,244,890,630,538,315,738,959,105,419,262,450,774,590,126,883,420,130,
886,554,209,634,731,095,667,509,736,110,957,530,971,525,204,387,397,636,888,
206,230,145,580,127,696,393,394,172,113,790,394,790,480,156,387,786,089,957,
100,950,197,544,367,846,503,885,537,844,210,215,224,514,496,600,525,704,129,
140,328,307,684,396,046,180,992,127,566,981,122,429,647,495,223,210,427,131,
613,891,647,059,697,688,693,430,542,174,063,540,823,545,276,591,628,990,519,
145,911,540,852,338,596,954,563,605,568,059,795,780,069,811,796,874,448,696,
459,448,780,611,897,095,825,474,676,083,452,227,315,032,446,814,803,632,956,
719,986,707,055,616,279,138,816,147,880,765,122,617,703,544,641,900,625,534,
615,304,553,300,375,763,351,088,124,195,741,674,909,544,762,685,609,106,763,
938,277,498,948,067,577,522,655,739,427,763,270,744,972,068,287,336,607,390,
711,854,614,764,295,311,715,964,459,517,504,645,184,539,604,333,653,755,234,
310,555,195,006,376,478,175,136,263,743,923,350,953,554,962,819,726,660,648,
756,553,731,383,564,434,282,264,886,578,297,407,573,776,185,237,612,766,868,
408,258,482,968,959,547,635,356,991,182,201,871,485,434,455,655,384,596,538,
565,842,573,127,131,069,400,031,624,388,880,353,887,412,220,788,358,865,839,
971,406,848,773,926,253,185,865,846,401,607,742,057,178,998,502,124,923,841,
027,817,595,374,243,186,052,196,925,588,747,749,261,775,292,002,268,364,481,
715,171,630,809,602,695,999,933,842,119,961,358,448,878,616,692,497,593,025,
928,275,202,846,560,662,553,949,993,097,398,146,180,756,995,120,298,274,952,
748,028,212,969,898,225,332,045,032,863,775,052,342,508,209,743,257,414,044,
263,774,816,780,707,233,600,600,308,333,117,551,899,757,160,430,344,032,061,
333,238,976,236,159,772,371,828,202,157,265,526,012,155,001,065,822,500,399,
579,612,697,919,157,353,672,545,317,224,937,193,087,987,456,674,055,935,578,
113,546,872,376,760,116,750,970,161,447,523,470,227,410,500,395,589,201,979,
546,656,393,134,303,438,533,898,490,221,285,404,678,856,966,054,637,813,400,
533,151,393,652,869,160,775,938,486,583,169,605,301,879,460,145,827,769,609,
263,126,088,080,597,415,747,487,396,129,832,185,043,464,638,610,025,945,215,
047,125,724,373,916,021,128,948,574,999,764,787,893,844,093,699,159,187,719,
143,102,236,874,304,616,412,377,675,069,200,431,868,104,335,677,140,617,360,
667,470,325,819,514,031,371,863,206,868,902,580,452,824,755,148,588,901,884,
707,375,293,570,758,932,046,951,465,135,203,917,391,793,066,404,181,674,765,
802,227,392,044,139,217,630,772,057,095,427,436,744,293,051,029,022,770,536,
545,032,435,558,826,900,634,762,964,499,906,513,284,338,927,928,376,414,209,
583,002,873,303,184,624,529,278,185,934,071,445,326,362,190,463,680,130,698,
349,341,902,155,121,069,722,021,046,217,322,623,117,564,158,389,357,341,258,
406,739,426,240,427,984,030,528,471,991,540,813,776,964,530,253,228,693,445,
078,942,084,203,753,107,037,395,067,017,454,368,925,919,973,087,008,545,538,
303,863,285,973,208,404,987,095,158,640,590,226,346,601,541,297,880,107,112,
765,409,743,813,799,390,314,882,161,660,647,863,187,797,648,609,138,590,157,
404,315,903,472,062,841,909,273,849,245,283,312,487,799,518,040,551,029,241,
777,841,710,474,459,352,243,837,885,478,191,777,032,363,204,785,464,391,507,
049,151,948,043,819,927,559,694,395,753,243,972,912,099,548,425,400,025,087,
170,900,492,240,150,231,778,067,923,332,961,965,864,630,138,099,222,887,104,
962,369,733,560,713,100,500,723,251,421,257,349,210,195,004,102,185,376,013,
930,600,013,930,932,524,553,415,220,854,175,503,778,970,232,451,496,401,534,
529,003,113,737,582,380,621,118,967,049,068,745,414,039,685,553,705,560,078,
622,523,056,921,560,556,773,481,708,639,127,329,606,703,779,265,012,862,135,
069,053,979,134,511,424,331,917,488,040,067,327,524,245,698,762,938,709,504,
017,934,777,532,903,010,931,081,229,599,368,654,568,814,662,529,161,966,156,
359,007,106,561,472,578,639,976,290,550,428,070,322,512,697,391,564,031,093,
933,358,395,749,343,332,058,115,406,877,029,959,900,055,923,587,700,926,609,
585,211,854,538,559,424,501,535,779,279,136,798,603,740,268,620,735,359,301,
331,985,584,131,924,734,407,462,072,905,805,419,299,859,939,086,627,539,554,
715,799,158,546,443,723,239,788,883,448,639,948,556,813,044,033,205,449,864,
827,364,599,841,068,241,358,106,409,566,418,976,489,735,008,759,364,420,768,
391,913,739,043,394,165,641,899,624,999,942,439,828,539,767,154,851,623,759,
642,144,734,514,582,415,581,537,629,890,941,656,556,453,422,074,384,056,795,
473,102,517,072,372,141,537,398,672,483,741,885,711,026,723,820,002,748,016,
160,225,546,366,834,203,606,339,718,176,940,447,540,308,794,733,279,373,610,
765,415,558,417,405,992,839,845,588,443,318,334,230,611,289,949,146,375,755,
580,310,041,277,930,999,223,310,416,162,377,809,347,463,850,962,547,164,517,
321,872,847,553,082,675,383,837,530,782,906,620,321,408,227,706,354,466,213,
882,758,716,077,434,775,425,572,174,455,310,564,462,045,245,502,521,899,518,
736,719,282,359,648,725,316,053,720,703,174,494,042,539,658,237,614,352,621,
854,862,965,772,920,527,872,215,301,741,958,959,583,463,051,946,431,114,305,
878,449,859,752,381,735,829,750,183,033,131,162,464,664,789,998,363,032,481,
863,803,884,651,975,176,824,349,228,697,765,110,761,581,947,140,743,173,555,
365,426,844,639,368,021,646,159,598,662,110,275,281,891,028,944,908,213,880,
488,195,785,860,443,642,097,894,770,460,139,949,534,883,028,065,758,850,732,
411,719,724,026,831,637,629,014,541,825,807,794,625,616,846,871,968,661,826,
407,772,720,761,425,536,683,250,575,973,813,238,525,844,755,333,740,919,711,
719,745,923,191,994,134,921,977,155,663,078,796,935,741,674,391,430,656,722,
750,660,362,797,434,157,351,870,859,034,133,031,907,070,856,942,645,015,362,
346,579,909,691,638,929,527,442,664,857,264,972,265,484,536,826,321,908,131,
394,557,156,712,605,876,867,237,951,679,562,966,230,348,222,713,890,977,679,
482,529,011,459,655,118,954,262,240,128,580,510,075,786,975,720,610,490,872,
377,497,782,786,977,400,951,754,576,980,858,091,076,174,511,622,699,208,045,
313,298,106,179,914,563,240,855,884,107,007,785,949,299,959,209,286,094,076,
507,264,600,553,727,854,587,012,132,380,495,748,024,205,074,340,590,184,343,
494,218,333,983,400,136,576,638,054,231,704,567,831,115,661,165,608,115,824,
437,571,490,172,121,343,467,066,314,370,700,644,862,721,407,759,944,779,256,
030,326,417,065,929,622,373,038,504,216,452,334,130,415,156,947,937,066,750,
824,649,463,221,670,850,323,741,539,579,125,079,862,579,106,237,567,566,140,
098,785,408,517,449,010,791,411,243,733,354,810,714,362,411,366,996,181,424,
684,067,067,788,485,055,309,211,034,478,921,186,511,421,682,485,760,267,383,
066,968,729,165,226,735,951,664,849,803,781,111,528,046,988,906,668,753,920,
230,879,186,214,028,911,149,722,535,275,517,424,993,506,242,386,847,285,529,
297,635,713,337,100,603,828,349,515,151,329,524,784,909,355,313,371,953,499,
109,072,337,913,720,830,961,159,231,909,849,508,216,428,762,671,208,957,279,
107,065,407,350,399,581,724,400,803,099,642,177,211,971,488,432,301,264,362,
532,312,754,543,889,903,283,592,707,261,068,571,881,679,629,949,344,386,626,
327,240,067,200,514,946,366,820,977,542,480,585,945,803,997,686,486,167,399,
067,900,654,270,068,359,915,296,121,593,523,051,385,980,552,426,485,316,927,
212,702,304,722,790,052,038,745,942,142,213,841,218,310,821,723,689,697,081,
562,425,008,314,259,893,976,786,987,424,307,006,873,190,723,763,826,376,060,
882,314,077,097,389,639,453,689,669,059,590,473,858,504,330,132,942,676,462,
997,289,613,275,717,784,027,098,423,705,582,705,537,760,464,530,973,714,577,
870,418,113,965,091,543,787,209,546,958,061,323,096,241,024,621,973,693,447,
437,993,397,064,843,872,891,640,273,764,287,143,512,624,001,163,000,167,288,
863,062,328,243,805,852,588,984,707,665,242,422,966,959,975,882,671,648,698,
428,129,987,065,564,142,906,216,369,780,124,134,279,903,858,646,395,793,564,
574,922,233,447,189,936,558,716,967,294,564,303,675,540,686,433,320,481,763,
950,020,894,790,240,539,654,854,362,299,522,194,181,055,720,730,143,727,844,
736,141,577,865,911,954,632,766,429,705,066,218,420,428,294,473,900,994,826,
140,968,582,227,403,620,636,553,091,082,129,048,166,147,599,949,381,422,175,
284,719,574,426,768,674,111,588,659,385,638,607,470,111,841,585,792,233,143,
417,120,930,221,438,673,638,703,278,396,496,690,552,624,424,854,263,374,738,
755,143,303,308,452,277,372,607,635,792,871,247,171,447,986,113,339,205,367,
693,037,601,111,646,599,384,468,216,110,943,571,045,995,541,608,657,043,461,
552,055,324,443,288,777,515,941,458,041,458,327,722,521,046,454,736,087,975,
367,272,110,597,195,834,793,955,218,275,025,811,559,584,265,233,092,224,904,
372,980,422,229,009,473,492,519,792,938,341,611,009,398,853,165,785,664,172,
037,453,290,240,454,608,095,774,175,408,020,543,578,455,600,049,679,036,282,
646,446,640,859,659,980,580,024,772,050,035,210,696,133,990,787,333,274,632,
852,627,502,685,230,962,591,722,796,187,673,936,526,751,742,317,653,165,925,
501,566,518,290,231,901,573,621,177,170,115,140,437,930,137,569,872,874,218,
765,376,743,146,984,181,077,562,166,044,547,251,594,449,481,605,677,619,149,
239,705,519,577,646,288,420,001,908,478,220,626,611,833,837,695,740,587,293,
568,617,431,254,789,668,934,452,277,158,405,660,255,868,945,837,557,355,529,
977,383,246,593,164,843,740,097,202,822,525,077,372,011,169,231,942,727,013,
496,502,558,892,106,181,627,196,033,844,430,136,378,000,755,252,413,211,635,
100,662,133,167,944,200,149,779,038,102,800,642,930,252,737,951,485,043,949,
226,748,493,057,574,242,225,155,636,717,582,144,049,928,919,468,815,790,068,
918,641,010,262,764,990,508,736,385,144,327,192,102,973,476,749,033,618,886,
162,623,935,368,256,017,668,048,938,721,666,891,746,920,009,748,327,261,701,
048,063,899,216,928,477,637,118,500,231,928,511,366,810,953,727,670,682,737,
549,419,331,224,028,530,060,317,726,889,046,825,338,416,628,896,626,990,594,
656,856,071,257,118,823,464,341,756,346,055,563,385,258,448,541,854,914,962,
382,599,617,871,359,414,213,222,606,973,202,393,112,691,555,238,514,699,879,
822,015,051,264,895,728,299,732,188,900,117,792,198,279,120,527,406,999,284,
548,684,649,333,247,225,575,420,636,417,142,298,370,123,560,227,643,051,728,
393,644,774,419,518,019,301,290,537,037,578,302,106,807,456,648,255,170,685,
691,580,031,288,991,156,026,657,615,552,928,007,416,604,980,586,779,488,942,
485,574,739,194,142,285,433,209,061,632,165,973,753,910,504,718,154,957,872,
488,142,533,829,160,520,759,358,748,953,283,992,346,858,055,003,243,169,039,
218,299,914,088,312,085,625,880,271,487,905,625,908,480,263,361,426,427,458,
355,560,615,624,042,396,705,012,991,836,371,487,792,367,969,220,110,835,546,
639,404,624,807,916,307,368,335,003,663,921,141,828,981,335,548,640,232,583,
452,240,799,395,174,972,577,690,419,051,527,873,117,481,000,155,054,665,598,
656,881,391,624,959,593,106,725,059,077,682,297,573,299,354,457,388,284,588,
842,059,026,386,476,914,415,385,152,570,581,311,846,568,323,586,427,753,028,
234,964,057,509,289,873,329,265,173,090,721,718,916,262,396,731,643,796,556,
459,327,467,348,097,125,307,086,376,616,357,805,791,558,057,219,402,848,824,
553,140,402,811,339,217,266,032,195,948,445,616,556,317,595,802,989,367,710,
383,046,168,020,578,307,314,836,692,431,073,102,049,825,913,663,960,294,372,
884,930,355,839,796,998,114,021,126,242,368,047,630,075,969,105,892,206,667,
117,415,881,649,258,413,945,609,350,283,101,734,473,663,831,609,114,038,235,
905,799,855,794,960,956,877,868,101,820,071,881,943,492,583,530,859,475,265,
948,522,967,527,361,145,537,506,449,740,141,320,079,538,854,777,096,870,908,
593,475,527,020,841,791,846,962,387,786,152,258,397,780,684,062,379,618,668,
862,071,434,284,873,530,975,457,533,193,071,310,814,297,922,013,918,142,368,
318,526,367,856,315,344,362,013,148,450,616,577,955,010,815,522,444,453,417,
776,527,390,480,308,955,109,995,073,759,078,603,862,431,488,290,905,944,451,
458,904,143,300,231,230,933,200,425,296,845,281,485,323,851,151,694,513,822,
911,976,047,337,318,638,815,720,975,350,269,422,521,381,574,030,239,324,257,
357,242,431,959,344,922,321,318,046,160,432,854,952,675,067,836,592,772,953,
966,301,402,568,702,898,168,361,066,545,028,181,033,526,747,323,191,922,666,
505,755,639,272,833,391,797,684,025,514,816,887,216,549,050,517,027,438,403,
830,761,712,665,968,504,532,821,532,009,930,380,838,373,337,167,756,186,909,
135,277,102,587,137,890,996,832,350,533,058,009,397,477,394,583,483,580,218,
823,752,187,399,078,610,309,885,961,173,920,787,900,601,969,916,243,904,516,
099,179,521,328,286,422,480,330,983,109,917,338,225,853,387,448,264,274,264,
506,490,138,584,385,114,728,422,715,631,556,664,754,167,660,934,235,005,686,
960,170,776,600,457,189,610,000,792,091,773,448,009,570,542,666,266,380,552,
520,285,900,530,955,625,937,949,606,051,826,131,494,970,934,571,172,005,593,
272,548,157,120,056,033,597,346,336,958,493,526,037,541,628,577,520,363,796,
428,937,542,510,413,267,007,159,704,504,170,315,472,917,003,414,058,058,757,
839,781,000,152,476,079,373,733,850,219,793,852,784,218,702,039,724,284,673,
889,044,451,477,419,202,973,214,502,281,956,499,077,133,840,724,943,045,093,
107,458,716,787,651,291,622,194,377,413,352,864,421,116,329,571,184,538,364,
125,394,799,133,368,929,033,840,893,938,244,106,060,863,924,602,773,881,310,
239,574,847,177,410,429,635,762,667,775,864,306,410,970,850,010,982,101,745,
945,332,412,480,878,493,838,527,271,283,707,934,256,149,949,228,809,478,574,
463,505,165,480,926,913,772,834,090,948,608,352,673,570,558,396,461,191,070,
328,706,686,453,463,070,266,741,729,833,958,620,296,108,662,295,502,543,473,
378,706,771,745,003,156,310,013,484,598,927,996,579,393,340,915,949,408,632,
281,620,303,804,982,915,467,783,209,808,306,970,695,942,052,336,400,125,808,
477,466,600,749,224,596,844,811,433,493,211,734,727,392,583,970,010,672,516,
714,592,408,836,204,178,799,068,405,257,801,914,342,269,565,355,089,338,941,
046,162,825,405,274,749,922,765,340,737,232,016,068,709,843,212,466,101,130,
011,674,633,999,575,147,021,945,180,641,233,841,675,505,143,024,901,689,607,
647,601,510,479,590,253,941,385,644,302,533,849,540,683,712,321,486,912,579,
055,922,948,726,920,798,703,291,088,991,978,377,219,901,846,679,247,770,256,
074,009,744,290,417,401,578,964,501,092,425,091,951,463,202,334,508,400,903,
795,483,943,534,313,700,723,439,638,115,969,375,296,653,995,749,799,870,847,
604,969,720,314,692,680,223,050,281,199,204,160,498,950,589,532,749,663,841,
220,905,614,031,466,895,791,148,177,068,266,909,977,055,656,590,641,882,412,
655,489,072,104,018,217,563,616,053,937,256,992,897,763,314,282,008,879,574,
447,105,618,658,235,704,963,255,913,155,340,291,047,483,449,329,056,296,843,
699,113,587,073,679,352,998,008,300,106,885,055,756,709,288,846,349,464,727,
213,774,050,873,825,981,923,568,167,181,394,310,016,267,911,023,407,617,934,
544,901,886,533,318,073,906,839,408,327,615,175,366,129,586,769,011,481,720,
333,245,205,083,380,164,108,317,872,438,763,752,443,327,018,291,618,671,256,
868,917,779,876,141,600,762,943,966,576,121,808,044,639,031,561,315,251,683,
450,012,127,737,762,542,857,963,553,581,928,150,965,400,167,005,732,758,314,
969,383,161,089,469,988,305,597,711,195,428,786,989,193,858,352,371,417,684,
039,232,082,706,280,396,088,308,883,008,797,685,113,958,564,169,170,840,945,
151,784,088,872,368,773,785,138,477,229,636,683,035,307,540,047,582,075,119,
903,486,256,669,081,121,922,113,635,131,122,894,512,281,032,321,297,689,138,
234,276,984,607,586,261,115,799,877,527,260,289,024,456,547,632,335,668,070,
411,232,219,740,031,489,992,623,320,937,659,273,800,502,039,925,531,587,748,
241,730,433,490,339,873,449,391,753,941,961,869,132,422,607,310,332,917,459,
497,365,830,791,351,219,919,217,775,227,358,412,121,260,048,624,211,502,574,
327,459,056,878,899,564,005,899,209,494,713,894,207,416,897,395,339,950,918,
650,493,087,600,793,569,009,139,453,939,980,712,849,219,669,878,359,378,538,
396,881,756,057,819,984,908,245,316,414,731,783,651,234,795,421,043,406,769,
141,427,576,303,583,578,684,098,802,651,144,470,085,003,386,597,669,428,505,
648,906,246,519,510,223,748,312,037,087,786,215,156,494,235,550,221,491,892,
412,655,779,356,669,207,423,151,018,936,302,358,597,522,369,377,986,347,051,
359,480,730,742,945,892,848,319,586,159,014,835,006,807,181,735,776,440,166,
154,180,775,168,962,111,016,405,550,495,314,398,560,762,132,074,887,936,765,
409,639,942,369,175,863,242,251,453,546,022,831,739,569,863,745,959,389,644,
595,520,876,515,238,532,674,334,357,676,425,070,480,246,754,682,104,393,804,
254,940,879,161,836,819,514,108,120,512,980,488,465,791,299,701,011,679,486,
190,430,547,876,027,676,327,091,784,144,117,335,263,825,175,241,403,340,066,
807,542,075,535,113,322,442,884,406,304,926,771,100,763,647,686,172,610,051,
635,318,742,150,008,896,135,619,042,900,221,854,032,495,456,183,074,670,523,
181,698,339,530,872,814,317,449,480,534,524,268,898,749,614,783,424,520,588,
170,615,929,020,521,165,742,347,800,457,220,606,321,755,271,141,824,448,627,
662,244,890,879,018,741,324,533,865,716,622,443,682,546,383,144,407,869,990,
511,423,654,507,246,240,549,435,442,119,505,140,250,429,943,182,208,796,712,
796,928,737,103,893,399,408,212,629,485,165,818,703,340,353,261,702,235,238,
833,592,590,809,416,484,096,148,709,375,246,099,675,164,937,119,001,453,943,
064,028,411,110,210,438,732,655,147,784,847,482,908,202,389,648,101,051,873,
700,448,760,898,687,767,799,172,443,733,606,779,090,395,007,227,880,176,242,
208,753,363,783,995,441,925,897,036,608,080,962,034,177,534,247,611,050,688,
271,432,652,015,814,928,207,736,977,068,229,515,791,106,960,638,825,762,707,
501,324,571,248,775,821,593,676,342,909,438,598,800,557,998,006,807,694,570,
199,282,060,197,416,213,892,396,775,492,314,856,334,081,399,841,519,913,798,
010,412,635,349,688,078,376,425,692,554,218,827,106,171,663,820,309,353,735,
714,033,300,157,034,579,444,500,536,726,425,800,343,737,372,380,880,315,977,
580,408,532,459,215,514,502,078,927,723,524,050,472,334,263,723,046,763,999,
174,659,786,149,200,871,710,392,305,642,995,061,858,384,925,595,736,541,073,
366,914,524,853,328,801,620,113,651,312,573,438,088,716,855,806,123,552,748,
096,726,426,889,026,280,446,458,706,563,904,073,328,892,165,795,577,558,257,
243,052,115,580,541,467,971,929,896,850,440,831,437,706,734,736,817,965,547,
397,346,267,399,139,698,462,317,338,888,831,158,537,846,421,271,344,098,501,
448,565,741,661,762,212,436,739,438,059,048,002,644,459,008,750,818,427,548,
427,016,475,224,816,061,521,256,365,538,589,704,834,897,427,535,225,008,010,
104,279,391,949,374,952,346,937,866,858,986,664,124,029,678,317,872,007,388,
913,996,066,594,914,272,213,974,328,071,698,914,921,983,946,621,293,429,813,
715,495,586,470,492,698,668,509,003,216,459,836,847,920,830,403,459,650,686,
713,280,823,974,579,999,006,791,371,804,818,548,154,353,954,383,798,513,817,
255,975,565,438,730,887,385,674,107,656,690,931,406,553,329,915,450,086,492,
870,905,677,610,662,535,286,689,329,577,236,773,233,153,626,994,355,626,427,
192,842,852,413,392,868,467,601,022,103,834,601,813,211,322,964,486,017,176,
027,508,817,883,720,691,521,756,638,941,685,909,066,820,463,701,583,785,080,
587,600,289,985,031,561,964,307,491,102,873,371,953,345,174,521,004,233,097,
340,559,556,561,210,281,520,792,177,819,709,733,882,433,026,425,741,184,739,
524,469,720,601,912,753,875,262,231,455,351,267,365,635,951,176,719,874,190,
421,999,567,600,336,404,251,603,754,354,165,844,966,605,741,831,261,349,840,
298,602,712,043,116,557,935,377,156,868,276,017,369,491,623,067,808,968,802,
389,602,442,033,287,980,048,100,720,033,174,608,561,822,784,269,036,658,585,
183,673,198,787,407,195,187,195,265,693,029,413,952,039,167,784,073,242,240,
442,516,196,113,997,986,185,313,532,259,155,126,193,566,286,402,663,771,452,
387,149,331,735,162,309,286,400,030,652,001,169,796,021,438,702,256,264,462,
706,985,879,734,539,203,718,340,012,762,608,152,022,117,488,876,932,004,942,
469,190,864,118,422,685,773,275,639,366,089,524,163,356,987,684,263,668,067,
650,883,252,731,955,053,258,210,178,974,556,978,705,462,310,547,295,865,845,
228,540,454,485,500,035,266,251,276,063,995,515,237,708,862,378,893,892,547,
015,805,988,773,981,643,437,888,462,517,272,855,673,926,746,311,364,933,133,
577,725,570,861,280,392,269,552,964,735,950,183,851,081,425,582,305,901,880,
902,215,254,625,604,066,329,249,227,384,786,704,948,258,378,039,205,008,303,
868,034,585,102,703,097,438,377,060,841,457,199,710,910,618,593,406,573,577,
294,217,624,942,128,272,312,426,662,767,004,791,794,326,852,491,357,238,644,
967,434,919,914,911,443,793,656,203,708,969,170,637,299,903,106,604,378,799,
258,530,359,884,067,791,906,885,176,327,000,878,767,272,484,483,864,984,672,
771,579,941,297,257,147,329,241,899,253,058,843,846,429,196,667,744,776,144,
211,553,338,236,452,836,565,162,150,527,426,758,430,453,866,247,033,377,527,
214,254,348,709,864,392,390,938,954,036,156,751,584,540,709,285,237,139,115,
191,089,593,718,403,296,547,557,027,788,315,026,632,822,789,931,288,132,600,
473,597,878,588,992,200,138,313,465,619,966,358,212,430,389,288,489,440,939,
813,377,156,398,955,705,133,346,818,572,123,208,144,418,934,307,886,471,600,
346,629,074,067,120,608,910,031,802,119,363,337,441,245,791,858,781,435,782,
062,540,127,144,044,643,268,175,371,783,810,723,064,951,117,250,692,659,801,
365,110,955,026,122,214,743,236,927,592,807,151,410,667,450,235,317,589,713,
746,693,842,259,592,089,564,273,962,735,482,099,188,687,689,609,492,292,090,
080,688,134,784,727,817,189,613,714,185,054,408,236,488,820,087,466,132,188,
691,733,154,172,235,306,326,824,823,103,919,349,328,529,845,744,392,758,003,
762,412,495,479,553,982,401,397,276,440,486,999,163,727,947,223,951,533,505,
504,335,367,630,845,455,149,539,077,388,332,911,480,261,522,416,941,484,565,
068,451,191,646,003,753,934,514,268,271,698,952,831,134,561,639,722,916,056,
148,558,322,235,263,139,136,416,765,719,567,263,043,872,118,216,729,249,103,
632,254,776,428,857,462,881,696,168,940,165,048,272,359,533,021,686,042,818,
718,046,745,066,800,503,582,453,077,841,801,680,036,026,155,092,440,259,411,
397,424,131,491,636,155,381,146,170,219,028,062,951,577,127,923,931,102,787,
429,275,957,904,073,084,920,357,944,653,999,852,170,189,267,239,184,705,845,
988,005,605,328,828,014,567,247,956,733,004,452,374,091,783,100,657,066,226,
805,066,063,240,565,584,189,314,088,635,913,832,507,816,992,961,639,186,833,
361,745,865,616,248,370,438,986,554,321,036,767,277,725,046,224,061,262,478,
867,527,935,054,593,185,973,317,207,731,865,814,879,345,957,809,938,635,713,
290,005,727,211,471,494,151,230,499,682,454,987,329,644,501,718,415,817,558,
489,703,499,576,085,944,614,002,682,799,176,724,197,118,735,125,865,471,270,
304,913,212,170,505,182,493,864,299,742,477,445,842,625,791,582,672,364,062,
178,147,878,731,127,042,415,510,821,027,198,930,057,864,539,728,314,462,008,
703,230,152,597,269,085,970,199,253,525,712,976,956,049,872,406,904,409,686,
098,580,212,830,164,280,195,965,203,263,908,661,028,183,497,917,433,388,232,
439,990,672,771,068,187,468,092,574,213,581,931,335,738,771,518,069,884,764,
028,108,501,288,653,124,121,882,780,729,559,755,417,481,073,075,274,564,893,
681,624,972,304,060,651,547,481,969,903,398,609,414,108,090,738,373,045,683,
541,280,173,782,652,501,621,242,867,549,895,857,720,253,929,279,821,385,095,
803,665,284,532,321,106,422,746,053,437,052,117,935,047,338,122,979,931,625,
976,697,725,822,097,133,440,296,057,195,610,273,772,804,000,765,462,757,937,
713,691,391,820,492,406,267,586,600,630,719,822,433,938,621,575,054,763,701,
080,373,735,521,861,304,866,144,168,858,001,397,133,228,706,656,305,557,608,
269,113,241,997,115,078,244,467,290,077,118,787,247,500,486,363,532,183,910,
710,481,647,834,463,549,571,805,331,817,904,326,042,068,302,041,855,114,417,
876,159,777,715,160,102,158,724,618,008,057,898,294,797,827,752,079,975,765,
985,393,933,755,173,094,583,033,905,009,906,566,260,822,752,320,468,687,543,
796,967,461,910,681,579,918,048,408,309,192,791,418,613,384,248,875,681,547,
793,413,230,469,486,463,850,453,221,895,479,708,842,216,468,976,971,835,519,
539,183,854,324,549,480,065,722,191,000,063,686,083,227,692,582,542,578,876,
005,343,303,153,605,246,840,255,866,699,621,130,423,028,737,288,111,459,412,
794,061,560,018,946,076,301,618,797,020,501,379,237,297,179,093,590,365,915,
555,042,763,131,020,952,884,460,736,075,807,566,424,219,187,758,110,201,298,
143,540,606,259,947,870,257,101,089,314,780,933,286,665,077,174,353,850,043,
345,124,599,595,917,983,682,348,069,855,509,717,328,415,708,260,246,600,347,
088,632,637,903,954,775,039,614,888,362,944,532,085,061,634,196,714,841,268,
132,295,924,087,309,838,495,228,222,956,044,092,625,100,428,870,492,384,272,
487,196,992,064,695,834,567,546,983,049,582,213,916,723,847,117,006,053,910,
987,314,931,276,232,388,345,045,444,167,683,581,885,937,983,557,671,239,756,
591,977,511,794,229,508,618,428,498,057,594,462,779,608,860,757,600,324,224,
713,496,837,251,302,922,102,442,814,847,744,250,993,471,064,760,480,980,418,
738,453,813,591,990,998,679,860,037,064,676,788,656,689,073,848,755,065,626,
637,401,919,692,583,228,226,345,984,397,554,403,745,943,350,487,644,278,579,
887,105,965,341,441,422,154,233,735,924,163,642,895,154,222,757,800,852,429,
127,809,599,674,911,822,873,452,866,198,918,894,846,475,575,698,106,276,763,
999,394,930,030,711,268,984,147,559,981,964,990,600,027,151,846,541,943,067,
883,762,949,352,919,378,439,185,514,345,191,489,632,537,811,535,538,937,279,
485,716,249,154,785,714,307,381,117,000,893,762,655,572,681,364,354,311,194,
297,228,244,274,159,972,202,256,479,151,317,428,831,301,841,741,660,282,057,
244,879,532,823,340,628,741,819,413,054,799,149,375,702,073,040,690,763,700,
864,949,116,190,951,737,301,033,773,798,397,585,150,566,540,364,786,976,214,
055,939,040,120,816,265,302,679,126,730,814,072,371,698,737,301,314,978,842,
621,215,417,316,203,632,809,622,225,337,929,922,077,788,588,903,994,081,707,
399,615,532,151,485,231,682,182,450,036,290,142,378,742,007,395,396,522,716,
924,410,345,804,746,428,585,412,209,751,818,360,596,523,862,370,204,657,512,
098,707,902,684,048,870,763,334,617,058,002,376,055,165,762,441,296,268,653,
924,642,945,056,774,669,532,342,947,401,615,005,163,042,350,212,292,601,807,
221,078,226,066,215,526,243,708,551,497,624,178,223,325,381,150,122,017,024,
319,392,779,232,366,043,922,625,165,709,120,230,351,333,421,438,903,369,280,
048,452,957,242,268,454,754,601,619,485,272,540,820,421,526,484,669,234,919,
289,509,696,580,548,328,662,811,878,591,804,533,921,397,329,604,969,012,750,
945,856,989,487,341,803,528,827,266,594,034,751,629,674,342,264,177,786,487,
309,729,284,779,265,240,814,512,373,050,828,671,707,576,690,404,844,217,788,
263,917,712,219,029,619,831,417,269,716,120,015,392,645,273,792,790,377,871,
821,848,775,186,696,334,945,219,198,608,815,060,179,648,102,980,402,325,850,
694,307,537,627,232,237,670,624,939,794,702,469,608,131,027,965,101,590,177,
195,147,998,638,140,697,884,139,318,597,156,409,105,962,957,345,902,221,999,
933,351,979,059,925,514,471,122,543,403,860,577,776,770,522,773,145,698,365,
839,888,029,222,595,949,368,996,419,721,197,224,915,202,230,440,603,802,027,
154,127,885,427,140,577,250,480,454,221,278,813,822,874,114,099,308,415,688,
481,683,904,725,243,158,075,426,062,271,321,401,850,194,004,142,727,995,310,
448,372,047,673,658,305,564,689,102,600,794,394,832,498,391,533,935,393,851,
815,982,572,128,794,506,802,657,472,933,895,624,366,003,574,035,285,872,591,
032,357,673,754,906,522,361,404,456,400,517,205,401,582,677,598,007,692,515,
833,420,666,180,746,957,892,341,430,987,088,059,732,994,473,600,446,656,758,
955,811,645,169,724,607,853,160,235,354,211,364,467,460,166,292,767,169,602,
719,841,174,048,297,009,385,573,814,870,342,106,362,202,721,178,577,779,829,
483,011,169,287,835,945,916,937,494,926,359,292,413,908,590,756,555,277,448,
126,587,638,059,721,826,991,217,806,801,050,730,873,436,525,176,226,965,840,
921,942,510,601,600,860,721,776,668,499,553,780,548,241,674,784,227,048,060,
450,517,276,084,366,419,191,346,470,470,032,532,799,770,075,439,862,922,686,
809,420,664,339,680,113,482,162,393,212,902,002,038,207,421,016,139,512,863,
977,989,848,219,598,881,301,632,541,411,205,538,370,823,201,831,534,082,013,
073,777,124,835,161,528,640,995,221,319,132,396,073,015,567,845,315,132,145,
880,576,450,786,310,605,497,209,591,930,760,817,462,741,114,602,965,841,837,
034,490,825,742,442,879,305,224,542,958,253,412,894,531,459,770,232,307,951,
325,672,940,420,521,740,495,406,605,152,460,551,135,579,836,715,461,304,951,
623,468,662,115,666,302,089,732,473,052,010,768,336,826,768,057,438,012,260,
721,775,623,173,009,706,522,523,853,348,871,888,127,701,967,852,129,590,342,
003,108,598,014,009,943,365,097,992,041,541,114,514,851,274,013,392,232,051,
718,360,085,955,178,838,658,453,363,048,033,641,838,675,588,972,966,825,522,
668,027,117,796,355,486,720,474,279,882,065,749,210,241,144,088,524,887,422,
517,731,178,869,485,178,213,130,774,709,877,921,434,685,068,527,369,782,953,
273,749,751,057,284,159,715,286,590,190,378,850,139,531,977,628,263,567,687,
222,866,279,721,844,289,369,959,643,371,116,987,849,527,773,425,115,327,228,
081,125,140,275,081,646,256,596,243,625,963,725,231,744,762,332,946,371,172,
935,154,571,358,299,481,079,667,788,029,004,570,871,515,495,831,256,919,649,
273,190,478,996,318,638,337,599,203,953,700,054,988,300,432,276,183,750,577,
127,000,943,883,481,310,569,903,734,826,166,828,976,879,720,465,843,345,274,
787,492,784,337,410,757,403,309,771,704,973,528,520,781,201,007,796,040,198,
545,815,484,696,164,148,034,281,801,701,394,751,985,289,838,350,076,121,565,
735,035,980,039,083,444,070,874,464,140,965,491,931,651,404,317,873,413,197,
863,430,727,237,874,642,197,652,205,613,831,203,379,706,541,922,989,462,267,
521,664,823,258,770,304,035,494,853,228,770,233,135,384,617,255,622,487,544,
035,708,164,607,970,807,661,832,358,390,996,560,611,280,201,134,841,127,793,
481,646,062,393,404,913,130,969,463,369,019,262,815,685,695,849,479,091,989,
389,077,817,486,825,748,367,570,875,873,061,510,753,702,488,365,068,683,687,
068,979,421,357,110,676,461,112,551,799,012,006,512,507,255,897,860,648,053,
381,748,538,615,457,575,401,898,324,232,759,880,682,484,895,430,589,872,560,
671,647,955,002,719,946,541,124,635,801,015,917,590,186,714,845,120,058,869,
826,202,228,398,297,083,291,864,143,462,638,848,898,775,413,767,739,520,600,
214,525,148,837,826,062,061,989,177,659,701,897,619,056,854,874,724,024,874,
644,041,478,645,741,711,864,771,856,369,347,303,254,127,595,591,209,560,256,
198,316,962,842,223,425,093,659,345,516,810,834,290,699,405,611,935,121,869,
708,102,101,698,321,717,648,425,315,138,848,062,706,509,178,110,916,281,336,
934,279,940,578,782,867,077,356,114,657,920,012,253,058,174,262,613,694,764,
422,519,295,523,095,929,613,827,691,986,557,194,131,526,064,481,975,499,750,
741,203,855,952,147,894,729,525,945,888,544,930,432,159,601,349,680,435,444,
608,727,459,690,550,990,545,213,065,976,238,475,713,590,624,575,946,216,006,
410,270,855,516,890,517,540,262,459,934,645,041,894,166,061,693,982,320,494,
042,321,592,709,065,354,455,351,320,731,681,401,543,307,696,039,248,970,507,
066,275,632,911,408,276,611,207,411,634,554,557,172,181,325,033,615,733,911,
246,876,672,105,686,373,924,856,809,530,554,934,845,786,379,230,443,848,331,
706,024,600,029,239,208,690,151,381,721,554,465,468,640,405,099,953,571,773,
327,027,188,850,783,750,873,522,836,873,588,803,018,599,266,460,363,724,951,
060,365,228,623,560,761,933,953,189,172,558,455,055,590,529,926,483,221,470,
938,354,299,706,193,164,395,442,744,849,325,084,043,174,934,547,973,084,677,
775,693,030,438,030,895,456,940,223,862,707,787,295,710,245,972,279,591,216,
030,145,301,257,389,056,447,049,565,102,032,387,867,541,155,979,361,992,620,
271,250,470,743,751,130,678,939,470,054,767,540,524,681,222,461,351,938,842,
977,675,197,645,725,582,536,243,707,788,603,639,292,689,981,414,985,563,384,
326,634,027,200,956,328,445,504,163,824,466,603,719,168,510,276,995,777,511,
116,528,739,313,784,398,917,952,591,074,683,649,382,421,031,301,039,448,014,
707,809,607,436,730,048,174,073,195,664,350,441,735,631,697,583,220,862,554,
078,788,932,823,138,147,592,149,328,635,079,933,420,049,543,504,394,378,351,
999,318,713,090,849,628,579,119,954,062,594,311,985,396,618,438,369,999,463,
149,878,610,014,266,875,881,293,806,159,175,040,325,756,684,928,275,975,145,
297,025,633,176,003,787,868,524,023,320,712,267,802,109,094,579,212,561,076,
470,939,753,319,499,215,936,419,357,901,995,712,813,116,345,796,803,661,525,
263,337,984,757,117,323,083,566,788,912,945,856,723,370,080,196,598,900,095,
316,272,125,598,317,508,417,232,281,791,908,752,702,177,557,931,207,592,468,
068,438,356,866,460,438,660,788,594,398,309,536,561,411,635,400,824,580,995,
041,192,179,304,776,282,512,663,340,362,829,158,891,815,234,178,087,462,149,
465,829,769,983,629,479,066,566,716,125,738,693,074,992,740,810,425,906,376,
567,528,059,755,269,658,801,806,866,409,305,614,518,935,356,808,205,597,449,
159,513,535,062,828,923,808,838,471,603,808,863,405,232,060,675,334,646,148,
988,277,993,654,296,188,145,399,296,763,044,481,379,964,537,545,695,931,072,
648,607,848,920,558,995,980,492,841,204,384,800,147,763,490,529,224,445,665,
281,499,584,587,076,087,075,110,739,270,851,300,154,764,052,103,920,771,980,
383,515,977,308,558,549,420,512,910,773,654,070,869,460,261,725,342,974,375,
011,001,719,977,769,674,823,414,488,910,659,609,197,650,729,004,922,693,536,
266,123,165,434,832,614,967,304,773,296,199,689,045,044,474,599,469,409,563,
490,763,775,890,265,476,242,728,724,053,030,424,070,286,434,081,673,673,417,
269,590,520,250,846,932,937,007,618,950,182,250,483,023,792,162,736,652,208,
387,054,192,397,495,890,834,922,880,558,636,644,884,158,226,448,425,789,109,
210,331,210,175,284,913,460,453,497,061,795,697,309,896,860,458,021,379,733,
765,946,768,508,562,805,034,542,758,927,538,711,100,703,560,429,727,207,242,
234,476,068,999,641,603,224,000,097,576,504,459,926,732,063,494,127,507,206,
753,245,266,532,695,488,841,187,969,771,351,574,936,380,209,371,547,852,109,
015,368,852,091,516,605,875,713,412,025,539,969,179,846,554,910,581,644,657,
034,108,603,445,032,046,944,919,702,439,249,717,895,203,338,641,273,928,702,
367,897,206,903,962,959,266,363,041,321,036,532,609,488,418,160,387,557,461,
520,924,892,745,651,613,971,214,397,175,158,274,841,930,685,568,468,188,640,
176,499,293,502,902,268,623,652,943,501,263,010,350,907,067,471,116,689,845,
286,918,008,468,618,759,021,767,531,842,661,122,265,880,851,615,437,871,291,
019,218,374,908,594,433,999,558,075,102,485,155,368,808,735,025,456,451,623,
500,896,314,407,823,932,483,495,966,066,808,457,356,479,047,681,044,756,821,
475,359,129,342,463,477,167,688,715,661,462,981,715,620,568,208,833,199,854,
906,589,746,211,726,889,256,230,299,423,651,406,679,912,529,074,358,676,714,
593,439,295,794,444,564,412,331,025,030,474,125,265,524,799,204,186,190,534,
017,117,582,991,243,499,705,588,164,430,054,151,276,416,558,586,431,538,530,
910,202,686,589,354,762,732,784,562,530,568,649,872,770,858,385,467,903,741,
364,286,427,469,151,188,641,687,257,104,439,692,698,289,445,873,664,598,536,
390,868,061,910,736,736,860,472,298,458,968,669,981,651,731,999,229,593,832,
290,656,727,422,081,146,248,769,269,911,423,748,765,659,343,709,548,376,428,
240,496,294,689,364,967,709,668,504,902,424,304,503,539,164,201,737,656,092,
648,801,578,715,406,776,821,110,009,002,404,016,746,151,085,942,685,113,949,
058,797,891,330,851,078,163,267,238,258,966,563,337,158,771,089,372,932,279,
895,927,114,575,302,984,946,757,291,512,588,788,020,169,835,024,303,134,034,
806,981,597,167,843,167,874,502,502,783,723,281,441,619,978,694,545,529,099,
816,364,445,692,111,813,142,724,755,168,014,439,955,038,828,972,292,953,664,
095,530,359,161,774,393,994,186,772,822,504,344,594,324,425,037,527,673,502,
011,549,320,147,029,379,083,314,501,103,197,676,610,465,773,757,827,384,034,
584,795,872,247,123,925,023,869,224,598,471,586,721,047,857,784,720,149,621,
800,838,742,538,971,076,375,602,777,216,687,775,602,405,167,180,875,522,300,
769,014,060,284,565,784,978,036,534,068,621,848,593,361,582,050,877,761,150,
347,999,939,818,814,739,909,813,352,137,340,057,982,028,031,433,917,426,643,
688,128,449,687,896,585,254,009,863,704,961,779,434,117,629,409,157,058,972,
396,620,418,682,414,442,115,281,813,630,590,305,114,516,282,568,930,215,760,
771,768,584,077,419,386,499,657,274,747,498,427,267,373,389,799,735,310,694,
788,103,918,766,414,632,249,445,967,737,279,642,995,365,376,153,383,805,417,
688,513,249,844,414,373,926,673,861,249,497,897,239,629,991,597,647,314,045,
087,155,699,440,454,753,063,157,351,669,712,357,584,079,560,077,852,948,506,
224,905,502,063,073,047,092,664,444,021,934,604,590,668,944,187,857,568,690,
348,036,748,600,181,628,211,547,591,255,028,926,948,126,527,154,380,938,680,
545,780,716,269,121,392,939,740,418,565,980,906,029,767,058,870,417,283,619,
568,391,383,228,419,623,971,894,603,919,900,887,908,233,381,640,037,972,832,
119,642,725,858,837,388,476,486,170,295,694,748,708,939,283,154,456,952,237,
201,216,667,555,252,738,422,381,772,718,238,495,497,287,841,956,474,281,324,
927,702,495,165,481,593,911,200,532,631,377,655,230,894,864,830,701,429,796,
353,561,390,722,446,442,387,017,819,940,140,525,520,488,558,441,202,083,334,
101,136,195,286,183,510,947,232,835,381,681,473,731,701,800,996,627,977,329,
016,693,331,764,315,673,757,731,130,727,382,488,306,128,890,192,248,950,596,
606,158,025,570,172,472,401,389,348,878,312,933,682,220,118,560,985,448,488,
711,150,555,330,908,386,167,214,684,581,480,624,464,210,252,435,274,974,162,
637,367,265,739,515,295,774,870,583,026,992,239,136,362,770,684,451,706,276,
579,722,728,138,775,192,685,542,249,878,435,837,430,435,002,543,445,278,428,
213,097,141,049,915,057,116,910,369,237,207,397,189,666,682,542,749,999,497,
187,678,936,655,130,969,370,728,689,170,907,877,394,689,312,235,470,601,080,
099,028,361,637,486,950,452,763,734,305,331,319,131,302,966,095,377,282,156,
462,733,792,064,338,994,343,117,289,853,863,747,039,193,556,113,545,107,599,
231,390,208,643,436,833,468,974,952,693,170,896,664,330,398,627,112,433,556,
352,781,084,186,702,679,597,096,886,583,283,526,412,395,551,988,432,992,155,
933,303,202,196,922,254,182,345,647,008,702,824,477,257,466,742,442,629,262,
564,707,478,610,008,291,389,561,286,963,890,154,286,010,662,261,343,450,597,
142,517,849,036,887,993,971,830,645,877,215,380,997,825,131,286,608,378,899,
663,305,814,877,169,167,979,617,442,760,751,946,177,462,553,170,729,461,434,
837,506,870,634,264,374,804,940,157,249,289,368,120,044,203,332,631,853,808,
907,108,189,316,361,042,000,009,320,062,222,067,277,683,129,032,567,772,672,
225,010,192,998,988,017,885,624,278,514,205,637,613,387,925,623,130,927,947,
045,001,616,951,458,640,359,819,241,900,967,665,847,735,470,598,638,999,903,
166,369,737,250,041,605,788,715,507,129,849,085,421,785,798,170,058,994,978,
489,626,972,668,654,030,258,817,537,159,963,680,786,242,250,236,109,716,548,
087,267,172,981,058,711,276,451,177,021,422,069,388,288,477,428,794,077,297,
035,351,534,261,231,452,529,455,059,277,036,909,240,142,091,654,168,490,108,
217,972,330,441,339,655,205,822,790,850,758,766,488,092,460,152,757,175,442,
651,437,600,825,396,279,503,799,554,110,329,019,475,317,572,419,897,331,709,
532,899,442,139,334,116,687,412,070,246,781,183,232,207,468,992,022,657,337,
444,555,220,022,492,455,546,836,376,653,303,668,314,137,312,211,015,832,636,
746,245,929,091,412,359,600,954,553,437,620,472,050,102,401,097,282,043,692,
631,568,438,132,144,436,529,502,764,797,885,941,571,841,304,968,891,440,207,
435,959,187,554,212,265,324,847,909,777,309,799,335,060,894,696,647,415,590,
881,046,505,619,639,801,187,048,383,501,080,765,616,541,495,808,637,128,434,
936,118,693,271,871,584,151,231,983,464,614,935,460,355,459,942,536,695,671,
610,890,994,531,123,586,210,749,406,110,426,122,270,413,064,742,852,827,348,
246,135,624,500,130,696,902,225,415,491,382,494,368,724,715,999,037,457,622,
735,617,570,242,436,279,871,336,583,780,931,881,532,291,080,085,650,849,812,
191,590,927,206,303,288,905,419,732,699,727,096,867,037,688,641,037,286,708,
187,046,805,974,100,062,173,192,108,257,520,647,342,975,674,687,074,640,667,
818,240,645,745,230,698,950,751,875,537,346,751,622,588,104,345,866,803,457,
865,362,147,527,420,578,901,515,742,625,572,202,185,082,628,081,936,975,386,
369,191,759,824,953,306,979,963,068,305,577,007,353,709,421,452,264,505,550,
356,232,129,405,545,610,688,567,038,381,270,819,329,809,638,845,266,773,205,
814,852,380,316,449,979,852,116,120,154,780,624,873,885,238,440,070,627,530,
501,152,268,739,626,458,947,886,090,388,284,135,106,832,527,812,723,295,704,
610,444,006,701,716,763,008,218,509,954,418,362,613,475,522,638,063,792,062,
848,221,661,070,087,142,857,052,569,668,549,055,570,718,958,029,813,283,385,
021,076,869,064,410,367,481,118,934,443,009,416,204,217,204,343,635,550,931,
244,124,050,927,638,686,321,860,376,894,102,558,393,704,562,465,317,598,491,
967,817,983,408,132,515,310,400,129,815,318,468,967,387,631,211,169,931,496,
832,512,257,011,950,897,343,455,292,127,708,448,504,149,527,378,033,576,127,
103,742,923,135,423,221,807,356,760,092,609,322,668,946,371,755,602,175,013,
916,098,443,609,340,585,871,342,203,417,578,966,611,216,689,104,002,896,496,
580,244,814,562,415,164,041,997,036,421,238,414,164,542,660,868,180,651,925,
440,403,356,139,256,729,546,608,277,203,884,301,293,719,268,549,117,866,135,
304,896,682,238,893,967,441,419,950,570,566,879,801,197,715,343,520,958,129,
618,773,407,724,909,667,481,869,485,662,894,435,899,774,592,981,906,586,912,
908,933,240,631,053,070,617,891,825,380,359,910,640,027,045,630,568,208,554,
327,311,104,310,085,983,462,310,609,478,152,143,947,920,569,667,657,232,931,
111,962,806,392,709,245,839,430,935,495,243,623,169,430,037,661,979,614,482,
930,427,842,900,945,717,351,134,124,401,083,176,204,424,652,804,598,665,198,
266,987,955,072,927,465,907,306,467,495,496,481,427,696,200,439,493,127,874,
536,111,345,684,914,382,038,683,773,864,076,432,315,863,503,372,223,516,714,
970,792,120,701,280,721,279,700,350,565,950,136,934,868,074,362,213,364,769,
046,959,281,089,058,356,711,481,839,012,060,777,940,976,875,747,191,091,288,
002,534,351,522,896,253,585,024,370,055,836,112,618,923,309,855,372,117,272,
441,299,180,444,494,764,994,496,239,930,289,274,920,991,161,626,739,461,247,
878,064,778,066,503,973,811,502,022,714,008,042,872,660,797,713,897,117,047,
372,089,006,556,208,422,496,268,043,160,278,193,659,780,698,270,104,058,216,
094,655,918,929,365,144,652,123,658,987,709,355,038,905,800,789,406,346,032,
440,974,057,152,998,407,844,629,963,531,095,541,780,118,681,962,728,310,178,
865,435,740,889,684,456,906,136,099,990,181,707,419,504,338,955,607,741,718,
455,741,601,256,023,330,194,574,334,778,822,727,277,062,748,975,241,063,370,
734,792,448,958,492,802,591,309,353,792,849,372,534,924,680,657,413,865,424,
571,875,155,032,346,660,957,615,055,834,216,821,900,537,219,309,753,933,794,
203,467,061,263,951,741,298,772,442,013,131,931,849,516,850,656,385,125,958,
552,224,343,589,049,479,778,922,827,412,272,940,424,323,749,203,861,218,509,
668,963,473,893,228,440,817,521,491,651,699,007,036,898,923,251,066,251,899,
553,800,337,375,294,371,079,809,088,585,999,565,141,774,131,887,240,986,106,
179,145,918,392,317,929,640,041,758,113,295,478,119,254,834,782,529,675,856,
055,362,746,137,901,193,840,097,377,824,019,804,390,597,850,668,440,280,602,
008,699,042,371,503,149,039,335,716,702,862,142,954,930,221,056,750,015,473,
695,960,239,440,692,241,722,188,367,008,770,976,448,089,325,213,498,015,899,
741,565,852,930,784,494,700,583,922,098,075,156,013,078,362,752,985,255,822,
938,578,682,480,771,077,004,208,501,686,310,324,128,502,371,168,592,344,939,
381,673,115,771,049,738,500,928,531,485,698,669,237,938,045,245,022,969,515,
892,284,434,663,483,719,963,283,390,201,586,059,457,570,349,837,768,513,338,
691,330,112,555,357,159,897,494,185,930,343,446,302,636,193,727,343,706,913,
568,448,338,311,679,823,949,247,693,111,116,468,392,326,561,147,400,399,548,
548,682,059,427,718,885,232,107,930,953,485,525,541,672,466,422,160,531,677,
452,826,467,023,271,553,325,655,787,476,035,606,427,062,778,960,535,510,884,
744,449,563,588,883,964,259,379,956,420,311,981,545,584,625,806,428,138,794,
333,854,080,772,619,345,909,527,069,333,002,228,173,395,582,348,339,242,159,
895,204,720,164,417,888,852,427,530,439,780,944,339,059,935,049,806,985,016,
281,018,587,727,939,347,075,381,234,782,145,479,081,004,692,485,703,059,890,
451,514,920,743,756,689,875,970,538,549,177,319,939,954,869,090,172,851,529,
725,219,371,772,032,363,686,575,096,401,797,244,635,929,357,745,296,578,022,
432,292,704,004,861,830,391,625,323,386,057,320,032,532,669,257,619,797,294,
014,156,080,939,651,676,157,018,651,602,859,889,886,729,592,880,900,714,874,
425,555,103,217,281,738,870,907,860,784,345,859,655,964,282,451,568,710,232,
588,887,587,151,912,392,624,646,148,236,882,729,862,353,423,903,622,463,327,
683,140,859,221,984,625,076,987,386,852,971,462,561,214,668,516,359,319,777,
996,787,742,706,060,152,602,117,801,172,641,750,076,073,362,956,145,593,859,
540,963,959,249,911,650,300,186,126,853,982,271,838,803,803,451,560,588,822,
395,807,950,070,956,740,827,249,482,031,808,867,125,450,044,697,165,098,503,
116,472,011,508,378,701,354,374,758,474,379,231,737,209,312,954,138,604,379,
257,335,674,568,052,418,547,792,473,166,129,898,594,015,865,981,866,597,335,
312,431,234,008,281,991,021,123,228,671,726,841,295,914,940,344,728,253,988,
005,501,947,983,985,227,106,203,474,261,680,209,767,162,625,216,328,179,553,
306,942,118,334,103,716,315,563,331,007,867,366,606,312,692,712,706,839,337,
525,837,701,951,585,450,001,668,103,975,928,550,881,479,187,909,607,101,018,
094,396,863,575,795,936,216,769,255,323,111,224,197,146,384,237,028,128,974,
718,982,494,700,622,311,513,021,022,529,537,997,646,083,188,784,867,007,337,
947,332,765,625,916,014,901,183,964,016,653,506,464,504,482,763,761,199,063,
124,167,563,600,170,901,604,280,807,693,125,009,257,324,972,223,500,950,551,
065,043,685,702,963,121,667,681,224,454,915,296,061,030,729,314,471,359,716,
945,785,613,950,861,612,171,556,788,284,523,813,073,914,462,807,536,667,191,
290,463,444,203,332,548,342,221,059,432,133,437,885,333,732,909,360,540,206,
320,847,353,826,585,413,300,807,349,704,334,502,366,735,173,641,103,884,775,
629,912,007,497,368,358,243,418,841,759,732,608,765,328,782,216,326,540,780,
920,552,870,292,802,929,377,367,837,013,121,232,463,883,855,603,855,659,370,
479,282,459,613,578,749,154,647,950,417,115,029,216,234,913,682,749,310,454,
879,813,924,100,357,204,738,913,719,953,498,007,690,806,518,447,814,142,507,
293,075,549,423,692,099,394,385,343,749,356,013,305,413,493,264,091,030,339,
104,897,599,691,289,554,292,708,731,756,258,134,702,131,187,159,262,468,601,
776,611,498,193,421,315,623,631,144,548,233,315,172,058,123,910,826,593,826,
472,636,770,241,495,458,670,902,619,905,449,247,995,979,664,195,207,836,183,
549,641,767,604,354,839,866,600,620,931,435,977,043,326,022,964,823,823,429,
477,690,400,212,303,638,484,197,047,721,076,720,180,827,375,620,293,566,088,
434,645,674,869,542,092,634,663,492,356,361,537,375,128,312,849,753,874,849,
376,581,721,180,118,578,823,105,356,494,524,645,500,818,976,831,077,651,027,
790,228,537,257,510,096,247,926,423,497,028,717,520,806,275,856,364,299,912,
896,820,347,247,390,747,647,173,103,721,257,585,951,225,575,182,170,401,222,
277,415,058,904,365,957,859,048,782,267,973,952,383,180,258,165,639,346,647,
970,867,927,822,067,928,610,890,016,137,011,988,850,188,739,839,427,988,764,
072,722,420,690,280,227,078,284,213,468,603,431,687,177,833,939,457,137,170,
380,885,527,196,153,714,957,612,774,567,236,106,661,104,830,553,387,686,736,
986,514,627,001,582,661,445,947,443,619,386,667,453,760,842,260,111,232,923,
359,951,585,766,949,318,903,438,236,278,632,975,417,338,474,700,757,083,977,
187,735,925,109,371,987,817,085,021,874,933,959,467,070,535,539,277,727,250,
495,983,126,603,028,508,967,318,694,876,326,491,502,232,469,503,172,997,036,
843,827,615,408,180,207,393,742,469,602,074,341,020,574,018,073,524,375,506,
637,316,562,122,081,478,205,737,612,825,243,960,398,311,439,667,050,165,056,
503,412,201,719,902,869,368,863,353,011,556,718,765,511,192,230,657,750,605,
449,655,508,473,394,805,780,057,501,010,311,742,530,220,962,584,270,258,858,
620,013,987,400,651,980,025,367,005,001,801,656,532,709,394,723,063,910,020,
910,841,377,719,191,877,988,398,294,641,723,996,600,619,457,627,108,264,864,
408,206,322,271,537,550,794,834,629,296,570,448,042,740,805,723,979,582,641,
748,981,732,213,065,701,763,141,854,045,147,965,090,501,002,258,064,774,851,
526,709,495,807,326,520,782,101,449,197,293,354,745,571,712,671,044,616,914,
143,672,764,319,700,692,728,069,088,331,686,480,361,385,880,382,161,850,582,
033,612,454,442,195,073,723,219,126,349,368,125,469,240,711,546,566,444,546,
070,358,339,579,995,416,538,980,312,400,262,555,306,201,676,604,779,520,561,
387,108,951,677,549,306,379,282,573,969,991,385,676,329,222,218,209,633,659,
102,541,679,299,381,235,290,970,551,642,820,738,480,887,779,536,789,822,291,
816,872,478,279,019,114,107,117,854,763,141,308,288,510,797,175,703,926,544,
937,440,925,320,013,486,026,305,579,488,514,059,723,772,711,255,163,833,099,
510,424,928,450,845,814,162,594,215,672,147,082,462,646,562,042,821,248,426,
200,213,207,558,368,164,449,860,538,580,632,846,211,547,834,118,576,939,391,
948,609,636,031,772,510,679,782,416,331,916,578,937,039,888,409,398,297,395,
393,878,053,684,102,707,422,204,100,955,079,133,773,628,740,347,341,298,617,
065,733,645,814,509,006,464,817,205,988,277,066,621,056,105,890,808,170,007,
314,285,340,081,018,414,925,320,691,393,285,988,728,969,388,777,032,490,438,
650,443,604,470,313,566,836,690,143,041,181,236,280,793,418,334,470,004,593,
407,738,367,128,251,529,137,327,691,513,349,486,318,082,522,905,746,326,572,
227,353,857,525,873,653,751,222,772,735,763,789,098,188,549,511,915,452,842,
243,938,095,894,896,352,821,259,825,589,441,390,296,496,880,137,507,374,730,
809,497,397,643,317,878,317,841,342,302,554,207,758,677,248,842,141,640,769,
605,648,058,030,979,484,676,132,964,836,728,429,105,754,173,104,695,577,891,
570,535,977,835,569,123,402,736,665,644,315,712,040,670,005,595,550,572,277,
360,995,902,677,289,594,754,806,293,353,535,406,581,652,961,364,835,519,285,
182,788,912,929,909,491,066,724,358,428,949,648,783,693,836,661,959,429,519,
077,493,040,767,003,073,680,850,906,999,176,297,402,990,103,053,697,263,816,
786,833,937,351,008,987,789,151,948,503,371,993,746,527,820,167,049,860,425,
958,459,921,452,873,049,666,444,292,740,684,840,181,707,807,522,587,929,223,
018,835,756,986,455,441,230,479,817,759,148,704,985,428,933,877,232,253,297,
208,513,495,616,922,242,756,567,772,223,387,918,496,382,758,626,833,372,396,
541,248,292,489,401,160,365,594,466,300,033,669,085,248,589,423,668,234,937,
814,854,986,681,075,590,013,285,934,986,966,317,953,774,952,837,521,191,784,
043,256,435,897,994,357,706,171,526,132,135,953,461,135,286,263,489,435,072,
750,614,859,499,287,864,144,348,051,664,198,157,258,579,260,440,621,111,165,
926,879,440,340,616,112,690,021,865,168,394,787,189,187,393,107,163,603,848,
440,790,975,067,110,920,126,586,419,656,851,760,228,976,865,231,154,413,131,
221,111,435,775,422,068,679,529,571,912,001,868,248,658,863,400,796,298,713,
452,253,520,783,711,660,465,338,875,857,908,527,083,191,168,631,286,505,250,
674,307,188,822,573,951,231,304,936,384,635,675,785,165,810,979,319,492,001,
699,866,320,331,843,861,848,831,930,088,794,530,224,024,089,007,164,797,521,
396,956,829,064,278,824,924,642,846,325,143,426,556,036,554,182,104,081,489,
109,284,268,709,374,187,119,409,118,685,946,605,769,228,977,802,433,898,880,
545,010,265,400,258,044,552,818,365,599,646,454,310,828,152,379,320,721,560,
047,964,889,527,334,910,778,042,550,569,772,538,244,690,802,815,636,868,231,
016,064,664,350,021,951,662,260,255,158,163,573,240,794,488,698,517,413,941,
844,574,886,351,204,594,117,501,879,790,032,976,985,555,995,253,136,434,822,
898,461,383,167,472,922,945,528,700,627,810,532,080,482,811,945,390,152,948,
436,683,056,852,249,930,109,840,076,355,394,472,942,262,595,272,601,085,247,
454,601,340,619,762,416,026,786,245,314,511,366,261,256,905,843,367,981,633,
368,057,821,603,345,209,110,089,705,194,564,001,249,239,620,091,816,156,059,
117,020,377,887,821,102,265,320,452,664,416,481,865,350,082,944,990,684,129,
501,386,919,739,737,628,119,556,820,288,186,164,622,801,018,971,618,206,981,
440,490,363,721,038,449,759,362,178,870,361,631,377,072,697,860,476,473,222,
197,280,208,527,504,151,911,537,349,892,119,396,206,336,317,864,062,159,284,
822,844,516,214,632,073,454,915,385,518,749,051,769,011,866,035,711,855,431,
719,413,351,655,819,322,179,989,598,379,419,768,217,846,266,756,269,303,836,
935,144,428,208,463,404,606,211,543,791,554,179,275,326,929,446,694,551,104,
087,977,796,232,402,982,550,021,533,964,972,197,732,961,000,816,938,078,217,
900,412,472,644,556,687,057,356,754,932,685,311,885,189,628,482,123,523,893,
410,347,470,762,871,279,644,079,629,817,550,231,826,860,499,622,109,304,917,
767,343,719,993,642,447,668,843,545,819,894,338,124,516,573,273,416,467,249,
956,203,641,327,729,403,684,224,315,855,847,718,192,743,324,575,224,742,837,
293,166,207,122,546,452,015,342,944,952,304,462,928,424,764,788,900,792,730,
654,465,227,150,573,349,956,401,948,894,161,686,866,100,869,518,977,888,600,
009,825,893,264,897,883,765,526,094,456,923,815,704,835,899,826,249,472,484,
718,100,593,328,072,371,527,992,105,701,494,868,369,432,391,472,174,354,317,
191,454,869,476,494,201,097,406,863,639,199,868,798,002,034,365,451,514,614,
845,793,621,640,912,366,756,746,529,086,403,349,088,285,785,075,823,691,752,
930,022,834,026,191,516,245,604,174,158,076,102,487,528,889,653,854,185,892,
090,093,225,347,835,976,584,496,525,381,642,593,443,641,356,950,834,261,208,
446,869,983,404,333,298,156,684,949,152,582,223,996,471,240,624,525,542,034,
444,646,584,754,427,007,416,603,637,221,014,005,521,303,896,112,054,364,817,
212,254,370,302,779,148,620,598,189,491,539,239,455,967,707,056,986,429,525,
116,978,897,665,247,820,194,700,907,716,903,933,061,941,214,429,163,496,532,
892,094,605,253,196,312,651,353,415,454,056,583,579,387,997,661,041,462,193,
920,041,862,341,007,481,448,991,805,695,296,233,554,556,160,461,912,576,545,
296,954,747,574,377,444,422,912,812,633,903,210,768,872,501,693,080,733,015,
298,990,515,985,022,059,104,914,878,890,088,521,496,295,649,446,811,520,574,
052,775,049,446,218,500,062,432,649,056,151,854,181,954,668,746,888,493,094,
844,915,893,101,502,874,323,653,978,844,404,837,679,715,991,816,553,124,249,
773,779,308,229,062,993,525,403,567,560,227,599,368,300,900,891,997,820,636,
034,444,099,873,823,318,950,483,176,088,082,504,301,622,597,226,360,690,359,
405,922,406,329,534,773,192,639,253,543,310,226,737,670,635,052,009,502,704,
145,974,093,393,701,285,242,569,325,922,769,598,212,657,479,957,200,953,419,
515,667,898,967,461,801,614,291,286,385,486,946,277,831,301,920,996,317,667,
919,763,104,977,969,835,777,979,936,166,797,498,325,500,384,858,363,672,978,
349,717,654,303,005,409,864,535,228,546,466,386,968,826,384,363,005,174,409,
984,534,989,386,313,262,704,799,994,399,548,751,269,834,003,028,967,693,470,
374,519,439,789,158,770,124,331,810,801,173,058,076,795,023,324,122,160,460,
046,493,539,498,522,690,412,864,297,001,256,808,832,644,911,500,973,209,827,
577,982,679,071,912,645,999,769,412,406,707,158,747,453,074,201,355,630,960,
932,516,393,731,932,198,414,096,752,773,135,029,702,141,591,179,387,201,762,
422,297,523,865,687,604,335,517,397,188,143,721,195,344,293,223,698,983,113,
773,117,655,406,047,090,125,207,606,917,151,652,159,878,726,438,552,951,178,
253,789,678,832,689,343,362,228,885,572,756,100,273,048,680,170,019,164,777,
177,033,070,056,496,639,795,576,994,157,366,651,540,723,081,123,879,343,608,
341,077,403,104,458,679,455,406,918,297,070,648,928,349,979,878,203,947,681,
932,823,263,675,850,009,714,096,272,653,925,232,050,599,206,234,388,599,282,
283,127,910,463,253,835,521,899,127,249,525,766,622,156,231,179,871,847,479,
840,327,871,791,595,573,847,717,851,897,156,943,755,273,013,914,141,536,634,
445,993,336,181,620,540,207,978,745,093,157,430,712,653,765,053,533,719,948,
632,052,548,632,288,427,052,317,966,465,586,920,108,619,272,350,445,442,294,
628,222,403,466,107,759,953,783,454,109,751,796,481,398,768,525,594,429,895,
968,726,608,292,632,693,289,754,949,400,516,399,257,995,877,627,548,234,224,
998,620,740,910,739,405,431,919,825,128,646,383,722,972,131,107,183,980,521,
693,495,308,663,958,404,003,599,464,562,997,326,043,902,115,869,170,505,230,
593,098,369,926,207,795,661,329,707,874,380,619,263,801,498,532,043,822,941,
972,563,446,975,732,877,963,358,599,529,397,335,381,785,067,901,455,979,396,
654,802,757,144,168,399,884,711,077,000,323,385,539,795,580,125,345,266,426,
558,320,416,815,380,179,336,562,400,043,799,457,756,491,032,096,038,173,470,
995,752,743,410,151,908,783,311,032,613,435,648,599,376,238,214,683,655,243,
716,733,075,201,830,628,234,311,481,261,109,099,757,776,715,299,837,046,094,
500,906,960,269,127,363,380,364,479,629,556,941,411,738,281,570,810,748,324,
661,788,703,358,027,523,036,166,417,392,563,349,550,166,760,063,797,608,796,
967,540,850,661,533,755,123,819,649,767,993,034,868,229,870,725,132,205,712,
198,224,614,088,291,596,441,317,461,284,396,407,484,171,404,841,422,517,644,
690,846,200,865,570,529,843,041,227,980,405,678,399,953,614,136,629,113,345,
810,846,892,932,510,169,247,187,926,255,141,146,616,499,115,597,509,299,407,
309,822,701,157,784,130,954,538,252,101,971,336,447,359,350,129,739,794,955,
769,039,385,471,681,778,789,012,787,507,347,163,114,374,493,420,427,964,186,
988,618,397,389,073,734,026,694,913,761,215,133,535,608,383,425,840,458,097,
045,760,550,595,282,198,366,278,591,405,570,734,670,168,239,329,031,502,263,
998,399,854,453,176,905,765,293,692,270,378,501,150,581,901,468,228,909,000,
328,484,640,586,816,051,298,356,013,377,966,417,018,794,504,360,864,761,661,
783,338,900,761,431,772,483,287,251,072,655,341,220,919,177,556,920,125,097,
887,127,460,056,927,616,859,822,329,792,591,242,065,292,888,930,777,210,069,
825,515,076,077,169,660,371,260,807,307,283,911,462,778,541,113,710,878,328,
440,860,876,726,008,242,841,355,382,729,015,802,737,224,354,841,556,084,980,
259,626,298,279,860,323,425,236,244,497,185,623,503,677,970,817,991,886,075,
096,163,680,037,223,064,171,177,024,143,405,950,172,999,920,855,793,789,722,
685,592,536,695,557,737,825,395,735,347,494,148,645,505,952,390,123,125,189,
932,406,581,123,380,428,103,360,974,205,552,248,952,836,412,063,108,313,329,
138,608,183,334,008,146,896,723,046,633,667,208,645,856,552,374,778,560,659,
003,157,955,612,030,843,805,573,546,642,666,602,251,191,393,167,966,595,518,
642,172,010,280,713,281,545,459,687,199,980,369,822,380,297,957,811,435,995,
883,459,304,030,073,579,883,821,653,478,527,152,973,787,811,444,159,676,220,
755,227,379,556,404,465,388,879,209,846,440,199,326,254,512,140,496,725,362,
374,600,276,745,785,693,437,010,536,717,133,709,920,747,812,055,963,224,411,
477,015,252,709,479,619,946,114,887,333,548,869,015,977,667,370,154,374,979,
582,403,029,166,028,124,762,619,160,268,510,427,047,833,435,910,019,819,186,
758,039,230,556,318,504,069,106,506,931,435,393,388,229,485,394,583,799,480,
495,394,653,140,583,832,487,566,196,482,888,640,101,620,677,886,379,489,093,
919,390,409,712,930,305,883,863,132,472,434,583,195,863,632,034,772,465,684,
501,345,797,191,590,757,374,443,450,115,156,145,708,539,061,702,994,375,816,
157,246,895,629,291,529,845,029,897,863,191,430,132,417,229,630,513,936,375,
376,008,022,276,928,398,863,837,717,497,625,843,025,422,628,614,918,631,728,
274,785,452,956,568,449,717,790,841,557,929,719,038,977,730,389,705,923,681,
980,990,578,959,027,979,728,469,651,408,960,712,770,413,133,550,506,441,037,
862,177,399,200,178,844,413,691,046,410,301,588,239,063,824,372,436,327,599,
447,680,160,050,235,568,962,200,271,092,831,825,912,972,177,954,802,633,905,
520,325,810,394,525,876,907,989,443,639,939,951,219,228,824,802,408,330,510,
072,296,149,557,035,102,034,068,303,137,102,607,148,273,494,877,009,456,703,
007,213,721,669,292,601,414,971,998,718,356,241,466,979,128,041,409,759,137,
497,525,415,253,351,636,541,576,996,005,170,561,580,897,449,634,747,178,847,
512,918,404,548,194,439,365,826,794,857,980,720,173,518,642,063,057,366,872,
413,833,143,741,112,430,007,528,566,547,609,798,045,884,109,329,477,827,086,
443,474,509,222,583,207,020,415,986,971,082,444,237,834,060,598,781,972,740,
985,513,282,904,474,448,138,087,072,302,012,828,628,601,320,740,534,430,320,
257,882,947,933,104,909,830,423,694,854,289,475,247,712,583,788,867,597,989,
668,527,240,729,979,590,769,544,739,152,403,266,422,241,574,631,838,819,448,
406,442,839,229,662,596,839,251,719,088,260,839,357,337,377,605,196,296,141,
003,944,211,803,524,139,931,026,454,005,581,433,928,498,294,252,151,497,073,
005,344,451,326,858,237,918,440,278,707,792,183,129,688,584,302,860,286,820,
795,425,382,134,510,996,436,101,111,225,125,074,632,117,572,548,605,487,791,
032,764,456,882,115,781,393,336,048,968,697,515,257,103,018,572,269,521,037,
922,845,047,580,486,305,213,052,638,424,152,179,102,292,892,849,233,951,579,
088,775,257,800,598,964,905,072,589,952,581,713,171,120,629,075,868,530,760,
660,946,001,643,651,855,576,137,505,582,222,841,558,380,227,721,457,940,845,
082,868,346,838,939,301,723,774,546,393,890,292,702,363,541,814,749,348,453,
748,653,673,166,529,349,326,387,876,930,530,402,853,698,397,017,438,281,932,
585,036,159,665,720,175,358,635,351,529,615,505,076,912,280,781,845,761,566,
275,932,472,332,636,626,284,340,082,179,960,990,616,281,377,102,295,680,993,
417,215,149,903,447,348,525,069,188,468,608,161,736,194,132,741,215,209,982,
055,115,894,796,862,072,393,616,322,590,737,801,810,777,130,795,679,068,197,
760,635,074,847,187,134,936,459,435,595,469,399,113,694,744,656,808,097,518,
702,447,964,950,073,947,439,048,086,790,823,761,374,287,756,315,202,851,830,
687,001,354,906,201,880,100,474,019,948,047,465,677,568,441,587,626,022,588,
666,640,217,884,911,383,865,127,297,311,546,402,927,419,128,148,122,093,343,
809,692,842,594,240,316,459,967,845,354,371,935,472,890,919,294,384,824,284,
649,255,514,301,285,005,905,054,283,908,669,063,333,214,922,867,549,045,572,
825,898,096,037,402,046,190,573,291,087,208,757,787,368,888,178,346,131,679,
066,550,618,069,069,956,111,036,643,706,764,326,577,401,538,764,860,715,828,
187,512,528,383,347,538,114,355,673,438,912,078,380,676,655,812,605,686,935,
173,963,134,513,606,636,295,979,353,907,162,810,578,454,004,787,781,827,743,
622,649,174,956,144,573,765,763,497,216,459,620,319,218,515,240,644,058,588,
888,336,094,210,006,806,645,659,731,209,222,609,215,444,862,084,176,518,993,
364,630,474,435,405,466,979,832,715,334,598,971,809,196,305,292,831,998,748,
460,978,217,588,417,241,931,458,414,048,819,395,275,779,265,975,530,292,034,
054,162,262,943,669,732,346,941,319,230,161,855,798,506,361,188,391,282,862,
608,291,637,872,375,594,049,829,281,781,134,297,375,767,385,729,246,017,337,
273,354,146,572,016,511,868,449,673,994,542,368,902,781,000,600,635,728,765,
515,799,746,111,314,815,936,536,406,485,157,460,482,914,931,814,436,663,163,
305,083,798,399,175,162,372,573,446,651,227,868,005,149,966,866,057,284,957,
599,803,413,930,944,698,202,950,505,397,232,680,612,816,649,179,839,381,415,
199,118,101,758,183,140,621,891,315,652,670,729,786,604,385,809,217,066,656,
568,383,757,159,200,828,001,967,600,763,651,214,107,612,707,496,289,489,069,
658,467,534,372,223,762,726,501,198,672,944,055,145,543,542,614,606,715,882,
398,662,798,180,021,856,862,650,410,071,127,200,050,246,578,005,155,558,817,
697,168,102,003,542,936,402,634,091,288,687,047,098,866,900,946,718,792,457,
645,169,415,731,395,868,459,355,802,478,058,562,696,486,280,061,261,515,606,
913,459,666,480,578,244,026,326,095,636,403,644,667,438,956,333,378,446,878,
149,242,866,224,001,625,345,917,288,701,198,631,477,570,269,618,514,675,039,
743,846,954,084,292,422,145,841,175,742,578,740,819,423,242,822,900,238,044,
976,677,421,470,888,158,085,314,133,798,633,610,423,000,646,600,694,434,078,
509,722,034,655,129,031,868,397,204,312,118,634,240,180,780,846,605,773,302,
816,066,604,952,871,798,999,954,428,816,076,731,425,503,653,394,765,716,301,
034,638,244,590,516,737,812,221,763,325,520,196,355,592,565,806,365,684,912,
697,696,128,532,213,911,791,240,074,800,303,958,503,932,188,567,569,959,299,
412,077,124,894,865,841,348,246,590,879,366,003,987,195,641,663,433,180,557,
778,709,772,783,144,463,980,158,393,806,350,590,404,595,100,465,792,249,835,
496,474,711,599,683,837,381,538,158,248,714,253,275,456,463,958,511,932,412,
851,090,696,000,508,830,136,056,614,629,683,574,527,602,491,909,057,621,844,
867,768,267,244,849,377,909,486,634,456,695,881,350,158,233,343,926,461,024,
108,200,703,996,404,596,584,846,776,393,237,324,974,682,262,753,999,614,147,
565,048,712,868,994,487,463,083,618,109,461,681,927,662,843,830,193,044,319,
820,042,716,497,746,363,429,247,524,396,440,643,897,962,790,350,004,109,745,
401,809,541,205,387,340,620,789,916,241,784,934,991,664,563,593,952,357,372,
181,192,139,450,644,450,922,765,141,965,190,942,184,125,450,295,431,536,880,
638,267,696,981,394,080,584,474,275,486,952,486,059,889,976,554,899,193,629,
212,970,308,558,187,148,322,578,918,883,213,172,857,062,820,503,851,361,680,
089,727,165,388,635,753,932,517,000,257,150,820,757,833,784,565,924,725,148,
356,364,181,424,159,979,357,733,591,608,007,369,374,675,124,771,145,428,436,
130,676,530,966,275,987,604,330,372,635,993,618,230,354,699,564,549,960,826,
041,956,579,482,646,831,923,333,442,393,063,693,290,430,796,296,995,082,346,
897,836,798,149,291,464,113,376,075,098,069,220,235,727,280,846,239,178,168,
239,492,923,330,159,732,779,404,732,832,401,339,697,160,427,645,384,237,562,
856,001,277,810,033,867,126,817,297,254,832,214,706,799,229,217,275,467,413,
256,362,752,752,236,463,615,816,507,462,371,404,695,047,965,829,811,205,784,
697,519,868,433,606,268,079,836,049,023,436,056,077,406,807,500,296,860,678,
611,654,129,539,078,045,221,158,676,585,120,376,853,457,280,666,676,681,513,
616,444,518,708,734,971,977,978,976,593,787,663,222,540,895,810,771,090,628,
568,794,381,346,962,560,568,855,335,433,511,762,490,305,836,961,672,749,015,
572,281,897,780,024,922,317,999,109,885,796,362,323,565,972,391,722,090,586,
921,505,072,945,766,731,986,310,310,550,864,967,358,866,531,323,782,167,727,
249,208,460,499,132,320,626,335,577,676,311,015,669,235,676,487,080,816,987,
949,496,261,265,017,406,144,557,150,340,142,480,378,854,077,965,649,461,577,
786,786,211,758,555,643,530,197,390,606,470,831,303,779,813,085,674,448,734,
008,674,260,493,284,503,492,284,887,519,304,677,570,533,309,006,661,275,792,
379,697,886,027,016,236,818,748,621,792,887,801,300,660,660,837,034,559,687,
844,399,274,451,086,236,400,042,226,612,083,118,526,002,224,766,829,813,954,
765,551,094,024,026,290,705,194,904,549,713,027,136,432,076,368,729,534,757,
085,085,410,157,127,258,970,816,816,608,926,379,763,151,763,758,753,420,730,
238,236,118,687,706,375,458,323,401,029,523,424,140,073,879,157,053,030,822,
786,308,762,087,585,790,478,040,907,429,133,190,588,581,138,446,266,759,921,
666,838,815,434,332,452,074,876,112,891,335,519,712,480,895,860,047,977,587,
173,517,561,173,686,409,535,878,028,614,391,751,750,974,260,020,843,891,248,
621,172,321,663,649,338,295,107,714,625,179,288,062,144,396,445,190,159,803,
147,944,443,350,187,371,034,424,223,867,788,453,362,392,145,610,703,875,984,
280,924,105,945,744,623,951,215,476,554,629,932,905,839,396,470,632,943,189,
764,294,243,921,864,350,274,885,888,590,141,909,720,647,547,452,869,517,504,
354,472,182,261,411,914,707,629,976,721,951,288,092,409,735,415,731,229,098,
677,382,689,729,727,257,471,689,111,773,713,366,462,259,986,944,607,167,334,
465,327,987,167,930,425,912,428,589,016,632,820,607,561,441,676,255,171,572,
046,664,037,566,726,507,024,109,910,710,637,881,943,726,999,442,279,487,305,
310,583,959,422,673,168,958,535,744,161,873,562,270,342,972,672,272,256,187,
263,362,716,559,848,128,580,995,085,933,935,415,486,703,402,073,712,522,409,
511,910,872,505,471,436,979,194,511,653,662,669,594,334,583,145,726,636,531,
550,446,081,354,958,055,924,614,079,033,678,981,673,639,789,990,748,263,469,
185,247,648,229,990,463,013,390,333,837,108,034,403,516,538,140,178,877,482,
401,474,546,474,527,035,798,325,971,483,984,367,117,697,162,695,317,095,115,
774,918,170,450,589,921,669,505,200,725,942,201,026,515,852,965,308,521,723,
737,656,262,791,425,529,092,082,402,593,769,928,418,031,876,491,595,980,921,
628,413,187,852,895,738,843,258,114,753,126,107,130,022,580,470,316,369,096,
856,433,626,211,753,784,125,539,026,835,799,910,434,758,916,774,908,597,904,
333,120,954,260,522,518,653,521,999,524,359,516,679,123,563,193,862,977,621,
930,398,997,902,457,462,528,494,094,412,041,011,027,435,886,924,519,371,378,
745,927,046,106,119,240,331,754,057,204,621,355,722,559,840,515,178,548,365,
174,608,146,618,221,533,604,867,527,140,885,879,299,720,906,913,493,044,124,
608,583,417,104,702,039,226,116,550,238,474,073,208,257,775,897,178,687,440,
944,654,236,605,447,324,218,427,740,350,461,963,744,390,571,496,205,695,850,
951,690,417,435,459,967,488,938,085,514,362,183,862,076,341,345,774,661,268,
053,052,078,857,853,339,295,011,492,595,230,587,626,255,973,471,280,654,881,
018,557,068,561,968,690,842,504,718,642,750,334,792,491,281,359,740,994,497,
530,771,179,698,569,407,183,425,572,330,595,177,250,688,614,065,169,879,246,
465,553,046,000,936,412,102,124,839,191,671,985,324,224,368,924,085,545,645,
070,691,800,516,255,720,494,958,589,734,557,202,053,471,121,236,135,912,570,
586,228,965,621,059,969,900,197,888,614,922,715,313,446,265,761,974,842,260,
778,923,529,564,913,822,439,471,710,409,258,648,560,698,891,587,524,415,101,
039,719,497,000,349,241,246,620,246,246,000,043,251,538,507,028,055,037,255,
766,696,587,546,384,040,274,571,106,751,667,175,692,170,704,691,753,791,507,
832,060,761,434,110,032,103,749,805,818,836,168,642,565,550,479,290,982,768,
938,194,199,016,950,998,806,557,766,374,842,779,522,386,635,396,021,673,609,
222,074,873,273,804,001,272,630,013,211,628,087,753,888,780,341,000,973,830,
122,875,182,864,618,706,501,706,196,257,762,462,545,151,528,750,880,861,890,
409,732,798,958,597,239,715,581,200,298,577,530,001,037,098,832,395,735,730,
558,857,474,740,059,248,004,161,766,984,863,273,621,506,707,222,201,771,067,
145,603,306,357,116,863,488,035,257,246,259,190,534,808,447,367,708,325,527,
287,377,910,375,559,751,064,201,026,210,752,645,156,504,014,082,792,658,554,
970,389,458,355,178,176,744,017,745,543,267,057,177,122,609,873,719,617,660,
414,078,526,422,548,006,816,348,099,406,041,642,074,513,519,279,797,420,600,
432,389,413,864,379,860,526,203,074,719,520,453,591,559,372,446,735,292,660,
176,695,857,674,354,401,667,355,812,130,199,857,161,864,133,770,572,645,438,
140,038,298,266,797,016,670,272,414,320,743,320,697,143,086,268,122,536,053,
960,629,107,316,201,929,378,165,578,285,886,813,412,707,415,204,772,792,855,
372,608,401,724,652,764,342,316,612,184,936,899,240,494,956,673,021,760,535,
364,946,067,930,969,176,990,279,329,439,046,689,217,805,863,488,493,004,835,
019,347,979,083,037,784,768,767,365,472,649,891,545,610,491,239,075,094,251,
265,966,382,788,930,802,031,780,479,200,386,013,710,825,372,066,943,018,056,
875,705,121,146,560,051,561,193,140,975,848,624,867,979,899,297,396,709,032,
955,771,128,547,716,393,879,291,724,102,405,043,000,287,013,690,037,164,728,
981,507,281,360,474,270,932,562,031,928,518,529,142,891,311,688,150,807,737,
521,341,627,516,692,339,905,225,131,831,085,894,872,101,437,682,031,979,909,
921,200,608,746,731,408,590,111,386,089,574,180,490,304,520,484,233,026,366,
338,594,666,617,501,980,590,430,165,840,270,192,067,396,428,923,396,352,891,
861,406,617,258,231,522,935,533,569,216,943,266,841,887,787,282,232,815,172,
042,680,080,415,833,634,212,959,417,974,182,395,717,685,232,655,293,697,483,
507,603,982,000,161,390,855,882,837,613,356,307,432,679,779,901,994,861,850,
091,246,355,546,341,594,035,936,570,085,574,886,915,485,679,298,073,547,812,
588,755,204,390,403,253,202,242,124,899,486,773,897,462,914,882,831,174,036,
033,325,711,708,080,726,989,929,344,386,528,941,296,921,328,484,150,344,269,
732,608,923,920,603,141,935,278,522,615,128,013,123,461,077,564,603,245,896,
260,026,712,318,365,932,947,238,574,599,865,038,077,458,532,528,621,539,151,
027,291,190,137,568,807,614,244,263,258,152,946,401,134,844,879,509,046,542,
018,188,541,881,126,684,829,780,554,656,572,580,147,365,076,340,350,924,528,
369,150,393,396,948,315,152,252,077,714,838,222,544,733,098,318,845,844,687,
703,077,513,626,407,210,682,682,565,304,921,097,136,769,987,501,453,897,716,
525,125,027,838,748,884,537,368,802,419,994,573,575,087,048,729,792,249,468,
734,936,689,539,685,912,519,246,192,695,702,584,770,905,137,999,151,578,234,
070,273,513,332,208,479,362,529,338,651,882,864,782,326,371,785,015,431,018,
169,147,883,183,408,802,724,318,902,450,369,118,843,242,469,250,938,393,149,
207,152,954,126,636,499,412,434,595,923,232,021,343,632,491,288,507,833,609,
299,234,407,851,852,197,860,646,621,144,343,268,384,584,773,880,541,040,114,
197,415,740,743,889,015,720,132,228,203,695,451,017,783,439,653,691,411,381,
505,848,718,443,584,274,758,273,675,366,236,102,193,447,370,736,619,314,362,
190,465,122,172,767,147,337,856,630,998,942,644,461,011,212,988,100,405,966,
632,409,726,083,053,946,248,102,737,006,952,182,581,453,716,404,536,909,379,
694,933,890,225,666,188,669,834,302,989,695,110,984,237,839,139,400,316,104,
875,143,042,986,519,110,548,467,454,320,923,852,072,153,052,979,938,983,289,
211,988,342,302,737,382,058,365,774,550,736,759,696,753,347,807,900,338,887,
101,319,150,560,921,640,041,847,933,710,469,904,432,738,394,335,439,488,630,
142,691,356,006,999,390,528,863,055,589,362,654,445,689,668,172,881,857,396,
659,970,172,990,091,474,573,155,725,428,310,247,982,896,066,235,420,090,269,
248,804,176,481,379,769,497,709,612,410,653,283,754,878,883,834,262,517,641,
060,248,899,621,723,334,685,163,778,316,452,940,388,941,671,800,639,735,279,
694,349,036,801,433,190,337,526,780,350,413,106,537,276,845,790,311,128,473,
232,054,518,951,065,048,634,805,596,826,845,250,051,475,245,894,665,779,138,
384,527,748,568,498,215,328,867,880,971,876,560,569,783,208,190,755,377,366,
732,235,542,451,682,523,328,532,158,251,641,558,925,450,627,023,072,601,808,
090,738,723,395,627,399,954,007,282,800,713,738,415,473,637,592,195,035,646,
391,014,799,811,159,704,370,791,927,334,483,725,814,180,108,844,505,102,036,
511,143,026,660,654,181,782,105,364,348,713,449,852,757,772,476,950,654,461,
731,139,437,861,257,540,236,735,793,873,739,056,916,663,734,723,682,555,774,
412,172,007,423,904,395,426,810,222,267,871,236,823,048,606,244,409,459,142,
782,323,709,671,619,600,405,077,000,612,241,990,606,234,958,907,464,855,309,
041,542,802,837,091,918,936,845,509,748,123,987,878,386,303,916,743,894,846,
569,985,274,554,543,338,383,189,281,278,995,185,329,874,232,122,229,964,958,
397,991,833,889,930,579,404,158,521,883,300,605,018,018,785,359,273,188,245,
538,962,375,746,226,677,094,296,907,401,852,632,458,706,887,841,113,947,302,
739,516,936,255,978,886,755,645,240,084,010,325,980,376,224,069,042,374,399,
019,424,441,820,292,680,959,508,765,654,945,944,201,512,850,315,305,446,674,
358,052,026,872,184,529,252,714,257,634,717,278,192,693,213,307,779,651,492,
003,552,636,011,734,252,094,074,493,372,767,405,965,676,163,578,259,563,707,
749,683,954,556,814,529,909,463,565,137,032,315,588,077,235,818,727,264,560,
273,808,355,051,104,388,467,109,290,769,132,656,012,572,790,560,440,518,066,
817,775,752,549,796,245,531,494,461,530,111,020,274,988,430,045,872,809,002,
931,440,610,913,283,917,024,248,956,719,781,547,606,740,897,708,997,333,480,
188,448,403,689,318,063,415,518,680,072,817,833,390,668,781,075,420,124,000,
697,733,735,264,181,520,430,727,216,866,019,879,395,422,742,891,084,730,495,
804,205,086,250,137,168,626,593,576,192,205,094,805,790,075,556,129,936,245,
935,985,375,269,332,555,221,188,522,693,052,816,568,506,078,666,573,472,593,
769,035,131,044,736,408,140,701,202,839,682,430,262,946,426,760,951,708,760,
726,556,464,216,895,144,348,298,570,576,999,855,586,353,801,237,603,134,363,
201,666,400,479,408,977,658,163,516,895,476,609,227,872,215,928,363,561,053,
552,023,602,055,465,076,376,364,925,551,625,048,977,858,248,386,346,702,751,
184,748,299,829,302,343,583,385,257,468,999,637,177,880,297,940,712,584,843,
655,009,722,093,239,761,388,988,745,330,495,547,649,174,006,611,830,016,421,
255,602,863,270,834,772,973,130,249,579,045,195,710,210,760,872,223,531,422,
010,448,897,604,144,217,303,022,361,168,090,858,758,263,277,244,236,559,091,
961,640,464,652,552,566,491,132,058,301,936,689,888,018,442,230,668,177,930,
035,556,650,919,191,684,645,044,179,349,225,355,192,057,551,702,305,115,991,
823,891,795,844,344,244,309,375,197,232,958,752,614,936,687,642,646,746,944,
916,666,752,676,331,838,981,189,756,441,026,582,254,476,816,035,857,671,689,
044,463,700,488,969,117,269,940,604,805,312,488,516,798,041,805,781,553,293,
407,193,593,472,743,943,608,328,013,435,514,758,518,309,751,631,519,178,798,
481,514,135,789,896,282,694,188,446,730,183,036,950,317,018,517,671,714,529,
782,653,814,224,643,573,590,384,195,245,699,326,538,397,490,024,186,995,375,
440,503,023,187,393,079,163,186,727,852,956,434,083,259,825,634,824,383,254,
272,864,106,688,760,026,026,872,992,427,081,883,359,258,710,080,742,754,798,
556,643,609,596,455,721,254,779,811,264,048,672,405,390,257,874,938,266,010,
780,582,383,761,904,923,583,389,411,037,626,886,883,897,671,976,393,059,414,
775,168,620,690,993,093,578,429,029,986,508,505,158,054,497,701,662,641,108,
198,392,927,451,627,755,736,930,778,895,467,912,206,356,454,076,232,758,314,
326,411,699,949,164,893,520,141,876,204,315,552,048,669,390,924,800,068,474,
017,511,166,269,129,949,849,600,093,216,047,305,912,472,726,597,281,463,975,
679,723,681,929,003,514,890,642,619,421,763,004,199,810,228,226,929,249,145,
674,560,148,428,608,188,213,717,746,376,913,792,165,939,934,466,384,199,510,
423,266,413,404,232,997,062,091,568,996,977,237,563,681,918,989,794,931,519,
976,862,542,346,034,450,169,027,593,498,765,258,442,766,097,014,875,936,668,
127,623,193,089,545,129,086,302,040,783,177,859,041,904,792,157,811,215,999,
179,769,694,821,810,847,757,835,616,604,370,096,484,185,177,538,908,353,193,
065,036,908,406,022,667,091,659,179,204,712,405,698,885,313,990,330,544,368,
955,369,417,420,921,939,735,664,012,669,443,513,962,751,069,034,567,263,945,
262,974,301,243,829,106,713,290,786,325,126,687,236,917,301,495,535,654,931,
408,219,992,018,831,794,781,185,597,544,586,420,415,168,716,789,883,589,184,
141,497,869,577,254,989,850,336,655,660,357,826,558,348,700,088,773,266,558,
568,980,496,958,059,237,091,691,516,356,027,936,589,008,215,581,833,626,336,
118,223,623,136,811,460,614,902,774,519,162,180,248,422,383,819,202,232,024,
760,612,492,867,248,054,885,202,759,742,999,837,651,265,609,499,561,432,403,
327,026,654,812,881,569,755,233,880,482,697,647,676,632,605,166,214,553,444,
424,790,256,322,358,014,096,312,829,146,510,438,693,637,935,047,768,386,474,
920,780,869,432,024,121,280,394,099,138,699,446,271,418,920,262,817,631,304,
053,804,939,071,412,560,172,673,066,830,200,216,664,228,021,199,321,793,064,
280,260,085,535,451,377,445,139,540,298,236,204,368,155,850,680,446,428,936,
980,129,372,876,220,765,255,762,025,085,147,995,353,486,977,626,847,251,031,
389,670,493,354,043,705,932,026,385,992,644,691,623,903,725,916,967,241,982,
940,963,051,513,432,769,128,572,191,829,163,095,459,688,050,162,348,917,672,
386,653,610,954,975,792,026,370,386,876,314,051,426,334,745,240,682,989,132,
816,597,080,413,027,120,069,479,709,423,740,652,592,456,305,804,057,859,503,
720,837,659,932,959,271,485,396,283,241,039,034,057,860,614,189,638,059,666,
676,209,911,520,975,008,460,008,578,292,789,584,438,723,255,513,223,774,230,
625,072,764,414,199,161,235,667,296,357,192,085,388,882,213,987,172,085,207,
779,579,928,510,802,411,977,714,538,251,760,656,076,043,761,684,651,663,066,
190,274,580,066,731,279,401,593,358,647,295,327,015,403,502,269,719,697,039,
264,157,459,428,885,982,604,469,034,754,007,704,058,838,216,025,222,916,976,
838,604,239,787,358,645,355,485,495,670,817,665,043,591,262,900,126,327,760,
754,952,415,298,622,796,087,745,863,057,292,353,686,831,906,540,063,218,259,
682,493,640,309,219,251,400,163,122,241,963,792,520,681,590,421,728,262,108,
811,057,553,509,738,310,820,950,998,595,455,161,548,619,901,866,912,441,745,
038,899,896,971,929,183,360,555,785,941,262,370,605,577,140,132,090,755,085,
592,972,682,922,227,278,930,301,828,866,011,190,908,842,183,933,786,527,774,
607,402,550,589,350,313,487,848,726,372,965,825,115,870,783,990,569,592,155,
657,613,757,883,403,845,990,075,682,090,682,269,379,014,071,574,917,542,072,
391,895,321,381,362,502,956,244,152,360,964,341,098,205,493,719,043,975,784,
235,486,958,108,115,806,301,311,100,225,944,312,984,369,325,435,392,175,656,
904,224,603,606,775,672,909,145,750,199,217,293,225,733,351,660,801,568,010,
175,672,967,525,427,928,981,907,711,986,085,245,231,587,420,219,544,599,845,
215,473,729,168,497,272,900,004,675,102,827,627,436,716,828,649,728,030,068,
221,895,534,135,391,305,779,181,758,609,066,369,895,428,837,995,976,320,084,
698,254,506,289,748,428,237,582,409,588,452,082,809,660,884,498,583,469,105,
626,683,586,883,677,656,399,634,142,496,716,945,968,455,329,722,834,001,085,
490,643,102,209,421,133,518,451,423,937,968,528,268,897,396,119,347,579,509,
358,153,394,912,527,192,067,825,344,876,427,531,893,630,877,917,428,863,279,
552,415,373,526,924,749,989,696,778,543,011,856,501,593,761,724,574,462,395,
479,480,356,234,254,471,552,648,392,190,648,356,865,456,592,524,747,023,704,
494,331,021,457,187,122,487,197,325,593,016,713,868,048,038,979,590,578,701,
346,171,256,784,830,803,028,081,169,377,782,983,296,445,069,291,574,104,008,
718,728,153,854,340,524,391,257,282,055,925,173,164,102,245,647,584,180,949,
185,922,914,592,125,643,329,292,776,368,899,277,257,477,478,784,478,179,155,
789,269,431,361,169,456,894,873,849,704,791,235,909,535,293,130,844,709,744,
113,659,641,371,850,633,489,122,623,968,375,430,780,758,088,162,478,890,985,
924,374,930,299,740,367,647,449,038,324,722,274,216,545,200,225,058,071,217,
314,109,656,436,262,374,944,847,505,562,254,795,012,915,358,280,219,824,021,
464,002,732,157,478,564,800,103,358,276,183,246,120,941,744,044,775,812,324,
649,007,738,615,899,696,881,226,894,348,807,423,834,818,629,033,168,628,426,
656,468,846,743,119,553,620,789,760,489,270,134,289,723,407,654,053,261,140,
026,949,131,757,966,856,505,678,934,989,721,239,886,876,682,467,410,839,117,
289,186,806,929,117,835,724,539,480,910,121,898,854,640,361,327,197,461,663,
737,238,083,067,244,057,682,434,558,050,522,308,444,251,761,422,665,995,284,
081,396,804,756,403,851,968,686,598,085,567,693,913,115,284,321,012,881,121,
675,898,734,043,734,603,568,223,787,207,149,602,935,029,961,599,520,643,569,
507,778,926,416,543,964,972,142,123,520,874,856,387,694,014,214,494,461,296,
507,125,394,319,767,823,462,639,135,185,927,257,505,611,761,720,035,112,978,
926,400,296,712,380,693,583,846,378,994,663,300,437,932,601,063,046,051,790,
638,772,472,224,346,582,910,904,245,855,912,884,282,797,353,757,216,184,012,
318,889,186,825,283,057,361,811,563,882,634,407,792,941,946,627,634,853,736,
558,671,805,628,277,762,078,719,293,811,619,308,796,108,584,392,595,139,217,
224,064,067,183,976,330,532,486,494,961,609,292,071,631,373,658,185,955,602,
585,407,670,313,339,129,044,104,149,480,754,772,095,373,427,527,604,332,049,
545,373,649,331,081,093,896,278,187,069,489,017,355,360,940,586,616,337,520,
915,315,917,229,418,905,805,466,569,282,856,809,975,291,459,969,057,676,676,
834,110,966,687,331,657,624,786,458,396,527,032,862,496,267,278,748,475,378,
832,762,793,930,890,620,615,067,541,421,514,276,858,524,693,115,415,520,263,
562,498,370,480,253,033,921,383,506,774,613,715,861,390,598,806,438,403,101,
923,989,669,613,172,734,212,891,258,632,583,856,092,954,392,328,410,669,097,
287,404,282,830,004,707,799,619,127,546,374,923,959,023,974,120,763,524,159,
103,161,772,309,910,131,164,644,851,079,818,523,796,669,261,366,277,529,939,
762,601,273,794,800,746,275,891,236,742,138,130,253,631,502,512,868,387,488,
957,310,161,629,061,512,739,900,065,522,099,566,681,078,649,502,264,501,768,
789,108,337,933,847,783,556,387,112,673,713,014,274,852,363,836,847,702,361,
669,906,016,693,095,037,964,473,648,930,062,756,040,414,910,119,535,308,207,
317,690,681,188,376,484,983,074,217,561,452,778,321,953,279,630,910,938,973,
498,755,982,197,281,466,324,777,702,567,004,433,068,132,744,607,705,463,228,
855,901,946,258,263,495,241,870,626,066,402,057,130,261,847,292,126,963,380,
436,001,143,312,468,308,228,102,096,653,511,550,882,715,177,105,704,502,866,
523,563,066,573,632,505,379,103,247,723,832,472,660,075,504,966,256,811,689,
568,515,894,928,953,915,957,585,841,956,645,530,147,903,667,519,767,913,909,
111,173,870,905,544,036,906,790,614,444,665,086,750,662,646,774,817,118,909,
769,023,762,986,290,427,099,855,536,151,585,647,407,920,309,124,204,783,229,
346,336,555,933,834,690,860,301,069,069,551,439,105,243,151,244,660,008,548,
844,530,030,942,738,495,294,395,097,945,101,880,612,845,522,120,322,511,730,
949,410,128,265,931,252,465,022,675,311,865,978,955,582,882,784,533,317,086,
949,763,859,650,532,629,788,472,919,719,633,716,236,315,283,113,713,247,414,
018,001,080,182,475,187,466,466,796,486,072,597,584,331,935,531,100,485,313,
036,470,151,132,618,156,537,796,118,768,691,904,299,656,626,129,089,965,098,
548,165,760,503,202,217,167,941,086,795,418,633,578,382,192,680,710,663,478,
647,612,599,746,973,915,164,672,185,457,107,296,225,864,521,771,986,034,091,
665,146,226,809,586,505,469,840,856,678,849,330,411,099,001,244,547,194,583,
237,896,429,851,292,368,833,543,331,813,331,032,637,012,166,755,247,760,197,
888,540,189,237,783,892,070,050,372,100,072,246,135,398,624,635,361,107,768,
818,172,552,693,231,641,769,607,260,170,667,123,090,194,708,278,625,522,580,
499,844,894,178,074,046,829,873,016,760,918,580,104,557,976,023,304,253,422,
033,524,910,793,018,010,268,839,037,748,658,653,022,524,779,200,606,622,260,
990,970,978,387,249,490,026,657,362,995,732,584,604,587,453,360,656,058,457,
329,188,161,611,057,574,652,254,779,942,913,921,886,253,140,413,526,969,590,
614,201,922,891,773,993,493,013,335,499,038,745,720,315,107,758,229,380,865,
800,028,108,033,587,571,218,750,465,185,947,051,804,414,744,607,110,654,829,
964,358,716,835,724,487,078,459,162,912,381,300,113,257,087,996,456,742,129,
745,992,872,728,236,226,829,608,859,551,703,063,210,694,937,921,351,532,969,
039,395,346,318,129,326,995,341,234,539,291,780,922,079,212,227,799,254,097,
563,853,164,173,601,982,669,155,802,660,002,050,812,441,796,350,346,234,726,
999,620,976,353,671,147,436,991,133,822,997,107,570,983,437,727,862,542,930,
636,888,555,650,293,121,316,608,634,453,822,624,080,993,769,870,447,606,072,
865,572,766,782,541,490,522,081,541,158,730,636,219,074,696,634,190,941,499,
819,070,909,561,296,553,576,858,290,239,958,292,534,257,761,494,444,788,046,
196,824,304,591,089,517,795,326,928,206,864,786,108,680,505,626,332,232,595,
696,061,614,452,863,241,579,987,178,373,956,818,158,404,430,536,148,400,188,
523,797,611,526,168,123,645,998,780,805,463,662,387,050,078,655,741,037,232,
248,859,152,243,228,762,452,324,302,968,223,491,626,766,546,810,173,230,564,
437,796,107,793,413,877,740,922,931,843,558,635,072,274,061,890,901,898,929,
456,857,092,184,088,797,931,788,423,035,414,752,588,922,385,801,772,548,464,
674,021,045,980,261,683,544,145,537,682,107,580,949,867,453,852,131,550,468,
429,373,619,324,848,988,701,130,945,281,071,758,363,178,020,072,081,998,018,
540,253,654,507,069,372,131,890,859,973,368,419,537,931,698,755,091,342,599,
472,715,495,642,417,590,902,469,640,548,165,068,607,914,405,337,963,729,221,
242,619,059,484,934,483,885,683,509,427,116,234,957,815,616,761,459,197,247,
461,371,892,590,377,693,942,687,776,671,314,452,924,864,134,103,583,167,260,
056,399,427,982,368,753,113,891,845,148,954,990,056,623,252,586,966,889,046,
678,877,565,056,485,100,701,595,095,038,124,274,807,406,311,201,535,513,523,
820,879,407,956,421,485,175,972,612,994,390,606,231,086,212,488,718,030,887,
410,203,555,412,632,696,932,978,030,976,408,834,072,613,579,648,350,317,387,
942,548,064,728,315,862,994,509,385,166,818,838,381,677,084,870,334,451,522,
721,234,317,993,726,846,155,416,564,932,765,717,824,853,800,218,193,109,133,
065,792,307,506,687,197,423,829,140,955,316,235,178,977,702,070,659,375,348,
970,637,317,885,851,984,427,024,052,266,341,408,814,322,772,073,402,499,251,
777,446,142,253,894,140,090,439,940,305,515,531,369,450,562,201,345,850,187,
654,197,184,495,003,905,372,011,836,172,947,986,641,028,350,801,240,313,613,
069,428,713,730,734,177,335,578,916,032,400,218,366,496,806,033,605,536,556,
860,667,609,735,692,446,691,288,395,986,661,986,509,457,787,036,377,696,943,
256,303,428,154,127,819,652,472,377,847,585,379,602,461,611,866,799,819,352,
301,556,616,500,707,896,993,056,554,766,912,400,656,264,649,557,554,907,023,
364,933,100,004,010,526,369,414,440,271,537,368,344,842,878,787,045,726,364,
989,259,460,918,031,285,771,742,253,030,709,770,879,303,184,706,641,818,495,
493,523,122,805,735,628,629,756,810,399,385,954,059,666,967,373,110,462,293,
634,895,029,595,657,497,783,863,138,788,864,963,878,281,454,269,821,023,326,
988,617,156,799,078,941,602,269,635,220,052,353,909,943,815,712,618,441,489,
785,023,247,980,916,288,251,987,168,509,899,798,037,282,979,829,868,034,550,
860,959,433,479,819,693,299,272,044,083,780,128,742,892,628,613,253,322,219,
151,319,574,690,210,939,032,909,821,620,418,232,204,831,069,832,603,403,894,
253,688,116,291,527,851,764,226,122,426,583,708,189,807,598,044,163,927,735,
631,865,406,496,176,789,151,280,485,770,945,866,692,065,350,224,727,889,197,
437,863,488,318,062,336,296,186,680,147,975,415,895,108,251,916,844,147,245,
355,062,982,541,767,422,944,579,521,039,412,847,324,795,951,177,133,073,608,
055,316,688,115,303,691,446,668,613,903,367,428,194,814,284,122,258,245,461,
017,904,968,581,099,225,839,822,056,813,497,410,686,494,594,728,548,636,651,
537,915,787,803,306,511,528,727,646,117,804,752,261,099,092,401,172,792,520,
209,323,273,117,660,441,771,400,765,829,100,802,371,540,374,567,083,322,530,
822,066,677,260,961,316,087,124,667,490,236,869,791,302,346,889,109,444,532,
956,091,269,258,450,089,822,037,254,149,895,790,724,437,749,326,015,303,604,
650,436,117,180,484,734,671,209,172,612,864,703,662,227,439,853,672,477,005,
740,141,617,585,091,887,005,275,229,552,571,736,968,714,472,638,516,025,656,
017,355,250,012,071,183,152,962,343,046,347,028,171,656,042,287,720,643,027,
600,852,097,055,350,885,922,323,045,251,844,513,267,123,881,202,369,949,581,
602,007,091,669,433,390,297,172,380,628,668,719,353,861,471,270,523,149,100,
336,289,609,885,098,383,556,643,062,430,106,654,926,388,752,517,305,163,912,
063,266,019,375,042,910,394,787,007,083,976,613,486,302,350,134,084,658,574,
674,451,623,139,038,025,509,901,874,053,793,395,722,912,305,681,810,138,470,
327,194,510,575,474,352,853,409,794,601,163,038,480,797,168,376,115,079,874,
900,148,553,905,563,617,099,348,570,424,430,796,221,365,370,868,916,736,728,
268,862,523,942,862,193,242,118,335,279,785,575,915,655,717,230,378,414,274,
917,660,384,621,625,487,008,555,760,569,296,882,098,780,044,674,241,499,602,
909,081,546,260,437,570,745,813,700,343,216,608,182,991,950,261,050,279,124,
251,621,432,273,274,188,034,795,835,163,494,514,311,766,163,136,015,049,191,
764,591,851,784,278,758,203,846,603,826,290,394,150,853,615,644,645,923,963,
801,250,566,670,286,528,484,908,183,114,795,166,187,147,573,060,725,060,715,
852,702,650,732,076,267,543,947,903,372,740,009,636,458,367,382,456,547,393,
765,035,019,049,096,610,105,628,813,519,835,472,383,778,458,284,682,345,097,
428,022,831,034,643,836,870,511,749,732,925,335,928,485,791,428,611,544,019,
030,984,782,844,150,649,745,948,698,260,045,009,274,064,010,498,674,596,280,
657,621,120,508,391,140,544,050,948,771,822,266,028,569,178,655,562,597,703,
334,578,601,140,066,041,687,575,922,554,903,848,190,513,257,131,212,646,509,
842,556,495,755,582,978,036,224,953,095,963,077,927,659,635,768,810,845,825,
373,408,352,172,323,969,298,079,927,287,078,710,569,217,623,536,765,090,297,
219,098,461,772,763,715,854,125,453,002,039,909,539,936,825,698,215,885,044,
316,772,932,759,051,463,288,579,814,700,130,052,374,951,453,082,054,722,611,
110,368,315,839,827,675,004,346,431,905,856,944,304,453,831,004,018,257,742,
615,082,830,526,171,619,935,242,840,435,926,013,253,778,308,036,671,624,777,
324,673,278,974,212,243,467,753,100,006,346,309,456,418,561,736,256,655,463,
675,118,540,646,301,802,670,066,398,143,241,287,287,299,245,446,769,645,479,
819,857,165,422,258,408,796,656,796,982,422,087,375,044,713,342,248,668,510,
540,419,299,507,447,657,090,845,904,150,373,340,172,242,276,726,978,496,233,
833,432,911,723,057,993,201,256,421,361,049,348,658,907,569,067,613,480,695,
605,940,817,821,459,843,072,371,309,672,318,664,237,616,114,153,001,333,958,
311,155,741,689,512,149,183,457,039,511,735,583,599,073,388,795,570,136,303,
923,662,878,685,838,651,022,424,972,988,940,751,591,635,652,617,526,705,432,
267,182,411,522,654,064,751,184,939,265,258,639,542,431,667,641,102,535,434,
539,377,032,157,697,193,664,538,354,377,398,195,341,683,561,444,644,181,773,
534,045,698,433,459,566,931,525,519,901,830,584,876,224,369,015,844,909,382,
725,449,678,541,575,356,592,709,280,888,456,241,029,609,142,410,834,103,249,
319,896,469,740,403,682,286,162,089,925,728,567,540,846,226,650,941,041,187,
295,918,280,887,946,687,962,429,905,993,707,664,492,457,108,394,313,382,797,
296,261,696,377,791,202,173,496,270,519,097,313,890,990,155,845,285,705,545,
605,239,620,033,328,219,637,015,336,724,890,612,158,982,271,705,069,241,130,
097,716,113,103,350,284,373,813,679,955,495,383,500,999,255,282,029,181,616,
778,735,004,244,859,317,195,893,213,868,292,184,087,862,272,105,451,059,971,
298,277,519,791,736,698,948,957,788,666,180,080,369,652,428,190,688,387,653,
946,953,649,514,402,200,229,839,380,421,107,397,628,950,905,199,634,259,333,
636,849,320,495,377,295,854,993,914,337,879,758,521,682,037,944,458,078,728,
681,020,155,847,457,692,426,047,627,718,255,923,847,945,695,450,952,437,790,
642,069,855,465,735,306,003,211,399,742,405,715,103,490,509,866,861,467,676,
088,641,766,062,831,635,514,369,093,744,808,303,416,883,042,556,004,894,212,
801,158,124,224,828,207,974,332,686,030,305,292,060,448,610,221,073,863,007,
682,619,542,878,594,710,523,576,349,498,815,606,816,044,780,289,175,950,324,
280,163,349,563,029,107,625,212,193,358,819,369,895,079,086,954,446,219,819,
878,476,275,127,396,707,843,569,402,139,337,951,059,159,242,443,599,219,011,
775,488,502,222,149,593,762,295,873,642,402,515,830,910,111,753,531,262,674,
685,208,908,768,014,212,627,296,805,193,887,668,041,998,917,708,200,650,387,
534,903,120,117,073,482,228,401,562,594,169,261,812,391,534,483,569,610,287,
649,922,653,269,586,273,287,548,183,404,742,819,915,764,918,835,745,180,715,
523,012,141,029,360,285,540,375,411,007,636,841,966,890,105,506,880,831,070,
132,767,663,707,899,356,819,990,412,368,598,829,725,098,920,308,913,704,896,
777,840,324,368,704,039,629,885,236,090,979,847,353,849,509,175,729,240,686,
214,094,602,656,955,713,921,722,766,852,469,732,507,350,114,819,528,421,292,
684,807,974,025,692,710,224,948,704,755,695,582,281,381,456,154,669,909,360,
112,330,722,546,947,677,305,482,507,781,444,821,707,552,646,919,489,376,623,
836,580,900,852,757,264,037,442,453,776,000,299,063,603,835,699,700,354,455,
969,690,021,136,515,312,575,593,174,457,515,372,186,201,218,113,207,253,652,
132,548,008,359,438,840,517,721,064,070,123,499,821,835,480,419,447,123,047,
647,805,701,338,495,550,641,724,076,644,767,574,573,219,300,993,352,735,597,
511,627,484,227,204,909,036,852,684,734,889,892,338,999,838,144,742,702,054,
180,868,002,080,666,396,180,035,268,054,749,036,412,886,559,348,243,963,121,
655,658,100,570,004,693,331,253,279,340,706,760,652,473,301,734,696,472,624,
742,074,902,896,814,129,590,628,073,324,633,532,909,353,899,454,168,684,320,
012,411,459,697,609,464,521,566,687,104,855,467,142,135,696,998,416,791,129,
015,633,661,021,410,266,954,615,843,151,086,167,482,110,016,303,770,206,878,
341,021,480,090,433,440,169,249,533,825,091,999,214,926,085,107,883,466,924,
296,171,595,039,621,635,761,269,565,621,397,805,240,157,743,270,567,671,974,
172,186,624,426,845,612,070,728,660,906,957,593,621,767,427,465,267,832,485,
292,474,553,523,158,540,710,794,839,725,314,544,405,915,752,816,862,247,357,
035,359,139,832,127,596,062,103,815,776,334,562,173,291,519,348,986,000,299,
378,630,086,932,786,992,829,384,877,760,981,036,462,894,379,353,306,121,938,
561,466,111,919,597,325,343,611,515,611,095,335,814,678,844,131,230,021,125,
029,149,091,745,033,491,704,229,893,975,809,356,768,079,675,300,492,092,431,
131,477,370,760,066,259,628,578,362,693,479,703,583,627,177,083,829,999,450,
889,100,522,321,790,567,819,675,309,119,828,061,504,868,880,459,721,488,065,
876,185,006,186,112,047,807,224,739,946,249,492,256,879,267,834,614,550,009,
847,472,176,429,656,734,622,799,196,332,896,798,555,424,742,402,964,855,027,
873,248,692,778,432,871,149,759,287,452,792,854,969,377,804,823,719,931,354,
570,234,627,683,205,926,717,940,385,521,754,078,114,347,472,228,267,539,396,
096,564,437,838,256,353,548,175,198,792,526,575,754,993,157,828,371,679,949,
532,512,195,651,141,674,604,867,611,097,016,733,085,875,440,722,736,944,319,
764,802,935,879,154,026,061,199,493,522,101,683,264,053,982,935,163,250,062,
998,577,583,253,217,704,349,108,106,555,018,945,571,194,168,190,553,437,948,
196,194,068,011,251,845,040,475,025,063,656,648,200,414,586,306,338,133,116,
051,095,692,623,398,356,960,358,809,830,292,777,772,869,202,781,418,885,532,
482,849,232,364,207,749,317,188,875,798,437,919,272,351,437,918,911,395,920,
989,359,971,492,140,658,892,656,453,334,925,426,879,069,791,287,262,232,622,
876,619,361,067,064,381,060,454,463,107,051,371,547,395,113,049,463,759,279,
202,826,555,560,869,030,941,834,137,763,667,495,134,106,068,720,813,865,904,
446,957,015,349,487,793,585,974,064,261,229,264,962,568,314,944,635,390,984,
472,902,826,439,366,017,279,382,927,103,996,338,783,642,259,338,064,683,420,
451,284,599,751,848,243,985,170,446,354,202,980,363,529,755,556,195,784,762,
027,144,992,572,005,702,092,590,272,481,226,827,424,704,258,524,763,485,368,
956,508,131,994,125,573,166,107,575,908,275,598,576,423,892,820,097,741,774,
286,626,370,036,970,398,557,621,023,315,690,850,392,919,939,978,067,953,004,
998,133,629,730,671,367,195,473,685,595,625,682,477,116,217,776,513,618,186,
871,030,744,030,111,569,290,249,954,345,840,255,743,560,548,274,345,522,206,
388,937,617,701,399,788,107,399,368,970,424,057,659,028,737,548,206,260,485,
502,747,113,983,583,503,823,183,071,215,918,488,002,852,416,917,478,351,448,
797,890,308,076,411,458,243,539,835,110,898,543,122,633,430,618,025,877,582,
402,701,106,925,714,016,312,634,986,564,376,778,178,170,211,233,293,074,662,
474,891,039,643,026,175,466,896,797,841,916,154,474,994,407,216,319,281,838,
776,590,743,375,084,758,562,239,320,449,441,418,881,589,592,593,070,428,660,
104,835,598,305,502,690,184,760,881,478,853,201,719,901,487,022,362,871,237,
136,412,369,731,913,352,830,603,563,861,032,658,610,803,770,321,434,211,111,
202,213,896,232,126,833,946,087,111,548,638,094,871,499,528,339,535,298,391,
464,029,185,174,673,857,544,016,699,641,233,420,080,996,654,775,665,271,403,
041,863,804,343,175,102,601,120,733,727,289,876,671,940,922,463,677,853,115,
686,544,600,784,809,603,841,027,330,790,627,930,746,003,311,385,159,925,736,
614,008,018,778,509,818,104,126,885,836,670,258,990,086,524,199,553,471,772,
471,349,404,746,872,267,406,294,516,436,418,860,435,039,711,662,108,006,170,
824,844,344,045,508,057,467,549,885,296,159,686,474,888,671,039,018,917,236,
284,629,444,466,193,403,133,808,713,264,202,797,232,755,563,548,054,546,244,
106,840,068,311,760,075,238,151,396,615,401,756,938,160,874,090,309,586,606,
658,314,031,823,876,363,601,835,137,186,357,196,700,060,820,702,884,621,260,
619,547,210,146,105,424,695,195,013,627,373,263,638,516,116,779,055,031,036,
049,911,850,629,272,735,257,913,561,880,130,948,935,910,803,566,345,998,394,
279,952,601,566,967,228,781,155,674,488,162,287,534,867,623,692,090,954,314,
014,810,086,502,414,303,474,403,966,479,547,839,108,699,880,591,299,607,151,
948,508,534,061,121,233,091,714,885,620,593,996,683,226,049,230,992,229,991,
082,068,080,771,932,625,540,586,234,692,840,130,468,716,210,871,447,775,463,
037,044,445,499,687,838,283,860,937,242,661,255,601,109,019,429,795,746,755,
222,969,932,246,313,215,227,768,392,734,566,480,452,962,416,282,245,995,115,
823,381,478,864,270,793,051,375,523,487,351,906,769,767,336,419,564,490,917,
676,756,368,686,723,107,060,289,221,392,077,485,819,271,068,348,236,015,291,
317,234,169,303,916,433,402,472,927,791,821,244,871,262,753,458,787,304,193,
389,367,023,180,813,525,479,494,423,655,681,319,218,191,326,505,192,993,154,
693,569,842,785,212,866,703,925,606,422,505,694,681,014,761,097,176,477,308,
569,524,672,276,416,222,243,829,201,244,812,702,316,989,467,431,041,747,048,
315,503,174,342,121,710,168,264,842,722,920,826,087,493,376,935,539,122,160,
930,819,865,277,124,753,755,770,173,560,244,639,408,046,184,414,841,366,543,
281,805,608,877,860,668,891,504,281,419,167,480,446,551,199,229,481,300,681,
102,510,223,068,962,182,488,947,108,975,896,919,025,169,442,959,773,568,212,
252,759,130,810,189,708,786,843,071,958,260,677,205,689,739,378,563,626,770,
257,972,950,324,851,817,146,847,785,765,197,549,507,993,519,082,873,704,914,
739,528,326,918,550,661,828,932,919,811,794,136,867,149,466,065,365,314,578,
831,445,042,874,252,434,283,007,578,313,679,584,660,716,614,416,364,274,127,
336,215,873,131,771,730,436,282,657,444,968,797,140,749,398,535,944,393,331,
190,434,101,372,466,414,293,344,554,625,491,284,699,465,804,819,594,912,826,
562,370,066,821,869,668,952,771,210,564,264,954,851,275,858,671,146,368,631,
521,704,347,943,583,462,991,256,523,965,396,011,959,704,969,201,451,831,476,
157,282,957,493,934,054,458,859,429,360,340,750,920,421,550,007,905,085,757,
926,052,644,092,936,756,689,501,078,191,843,804,536,738,643,936,665,420,637,
321,137,138,567,641,631,676,295,978,471,093,160,172,391,619,080,361,986,647,
944,597,585,128,311,788,789,818,991,055,538,122,834,246,236,064,484,741,651,
214,899,997,045,180,031,054,313,731,684,019,992,241,562,802,655,609,553,955,
094,431,928,584,470,279,531,090,535,278,669,230,838,616,150,558,826,702,378,
254,614,304,662,394,907,520,904,795,775,548,913,870,104,641,498,830,776,553,
400,879,574,753,693,454,202,061,476,863,671,427,790,968,411,260,066,068,885,
483,357,944,904,926,270,018,817,660,296,192,787,517,415,284,920,841,578,837,
989,333,688,287,856,233,192,282,305,925,289,180,072,866,312,539,476,175,180,
833,535,269,539,685,737,991,651,891,202,144,012,189,782,500,033,533,475,143,
969,981,908,379,500,575,984,790,674,307,979,359,679,111,721,997,659,822,178,
704,434,724,630,162,182,962,695,737,522,030,388,312,740,639,556,881,214,318,
433,325,333,112,585,200,739,281,177,102,107,071,258,111,107,285,070,047,926,
976,812,618,611,086,425,999,701,192,590,861,189,866,229,564,976,176,964,787,
067,306,346,103,538,109,119,996,999,408,013,437,968,432,666,037,221,128,462,
304,254,400,110,131,437,807,850,762,078,030,668,351,928,008,249,722,797,746,
085,855,408,332,179,050,923,252,793,395,622,207,537,421,504,579,950,497,877,
180,820,628,334,768,031,320,800,270,997,540,985,441,324,700,411,401,182,995,
592,483,971,024,832,703,072,309,072,635,718,785,760,906,315,524,516,402,559,
776,671,466,592,738,803,546,635,749,630,592,304,679,570,009,139,322,230,350,
147,799,960,751,507,950,831,212,229,936,202,791,378,026,514,742,462,913,361,
349,590,778,340,464,904,335,162,780,915,797,812,853,164,217,491,935,210,399,
892,971,720,290,810,175,010,686,748,469,678,085,612,582,163,221,283,628,117,
843,182,756,848,725,372,437,818,877,978,020,655,385,529,613,878,811,084,211,
977,592,574,433,548,036,735,345,704,828,479,892,851,529,814,035,105,904,883,
356,395,023,340,675,643,962,793,295,525,564,884,559,786,415,992,083,971,083,
728,237,212,545,430,468,952,617,368,356,525,435,430,159,387,673,862,825,178,
853,581,208,633,063,531,846,363,350,323,338,475,100,934,681,047,920,971,135,
537,101,653,010,942,316,595,400,890,783,695,461,748,571,171,680,710,579,507,
398,016,568,703,193,650,893,072,021,887,913,854,630,992,910,969,297,139,940,
072,398,027,716,241,954,753,188,469,208,645,484,792,627,084,984,938,510,081,
160,750,283,047,692,631,575,725,085,225,258,370,506,643,163,815,312,747,508,
366,875,948,958,868,567,508,118,689,388,273,963,042,945,333,466,852,466,668,
735,556,755,052,779,490,223,725,710,421,246,431,586,876,647,601,750,533,628,
391,501,302,742,694,798,387,766,144,005,615,188,893,047,100,822,196,649,478,
000,468,410,862,557,887,389,473,980,460,612,819,894,544,032,420,898,057,898,
697,377,919,442,607,136,738,607,339,260,294,253,611,256,853,474,544,729,657,
174,997,015,507,456,925,171,813,514,047,133,229,827,225,756,516,519,646,984,
580,405,089,951,595,094,177,565,080,499,399,566,902,066,339,555,227,995,405,
252,460,489,606,010,335,099,295,249,303,338,081,248,897,888,821,011,339,666,
747,069,892,777,688,186,881,221,329,256,103,327,464,419,582,279,790,774,657,
362,493,289,756,241,026,660,450,971,582,775,002,593,101,216,065,014,058,381,
204,321,797,175,757,689,829,286,476,881,598,646,621,165,607,357,814,854,775,
521,642,408,115,369,459,348,688,179,299,478,089,105,325,527,683,055,423,472,
276,153,257,958,816,023,973,842,139,738,620,350,839,428,085,531,621,012,871,
959,814,407,182,964,067,200,632,825,516,704,561,846,203,944,845,194,857,132,
607,364,037,152,265,300,642,344,319,927,813,445,218,678,858,786,272,096,925,
680,521,363,247,825,094,454,556,063,067,626,986,802,320,978,978,245,093,325,
951,482,501,604,484,444,455,423,963,983,616,516,607,450,984,196,932,454,323,
225,042,394,246,129,585,903,925,138,233,098,809,346,813,736,264,917,533,530,
655,793,044,073,058,182,211,998,908,067,771,873,467,157,261,096,616,303,870,
455,925,400,295,827,074,230,965,997,991,008,232,620,339,088,894,427,856,803,
559,030,514,643,531,573,395,751,534,000,878,532,781,550,769,708,876,392,654,
854,878,178,681,385,772,205,466,703,039,040,211,678,244,182,960,871,005,337,
370,380,964,027,142,398,498,982,471,178,418,305,723,369,063,527,875,986,837,
200,770,838,125,734,812,169,172,209,425,202,123,635,024,573,188,423,922,826,
305,042,824,856,922,966,258,028,539,196,323,532,340,331,374,726,914,058,944,
457,315,676,486,709,793,448,162,351,723,704,066,946,555,626,744,481,662,463,
343,024,624,733,931,706,116,713,339,308,310,060,831,311,594,128,054,564,937,
554,927,618,349,756,649,802,451,201,390,418,006,950,085,636,354,401,283,727,
520,672,984,573,298,866,290,737,011,406,137,622,050,927,583,012,453,891,624,
608,366,098,686,529,011,279,710,063,163,740,844,062,606,032,035,024,439,840,
714,890,189,798,191,181,865,579,294,790,359,208,819,600,586,930,592,801,249,
352,646,100,395,836,789,700,102,094,574,418,075,190,617,175,430,650,676,245,
235,320,058,241,014,329,991,548,322,707,749,643,714,428,535,105,281,386,847,
240,768,730,259,778,784,635,598,262,310,316,814,490,399,368,652,264,323,612,
148,904,684,324,090,083,754,807,176,621,149,486,895,351,359,638,033,894,866,
980,362,817,394,961,902,968,479,214,162,861,886,036,132,351,010,496,964,709,
311,980,060,326,082,459,830,036,811,810,920,929,877,169,652,079,888,429,649,
903,516,203,538,523,223,324,770,326,561,399,633,101,341,076,656,965,459,588,
165,387,465,013,559,799,553,529,549,388,685,432,052,884,221,782,780,579,437,
779,725,774,888,884,524,010,909,251,825,604,639,728,914,567,708,067,049,867,
481,760,698,877,391,033,330,497,447,614,771,607,644,906,650,104,402,825,540,
514,209,468,333,237,854,367,171,323,821,453,331,592,056,803,742,948,295,984,
389,390,702,821,923,207,248,910,501,484,393,324,028,152,768,508,177,362,522,
559,368,636,942,431,228,954,752,507,037,689,877,788,187,083,194,439,394,755,
107,808,778,513,555,722,839,981,050,256,114,772,033,582,301,900,649,875,132,
738,108,750,124,051,692,057,549,684,950,229,399,628,982,738,697,086,118,387,
602,639,471,733,664,717,529,255,411,642,462,111,279,780,817,288,640,371,365,
101,302,524,288,582,939,134,354,569,027,496,948,560,784,408,395,510,190,304,
836,681,841,539,736,768,124,242,490,708,104,161,316,959,211,285,934,844,985,
372,970,421,260,819,049,383,111,566,778,150,914,622,720,434,066,319,001,733,
446,640,376,758,223,637,514,187,634,272,071,413,517,794,838,599,237,234,613,
764,071,138,207,600,542,103,292,266,198,175,876,860,050,315,501,667,444,329,
250,465,858,009,163,618,930,642,497,954,823,175,597,795,264,304,118,697,573,
771,311,227,270,958,076,381,415,839,016,676,476,892,008,651,833,149,264,175,
583,832,832,280,034,338,495,547,369,783,415,000,552,813,912,542,334,256,512,
982,133,126,070,265,032,943,042,519,509,185,180,846,792,087,733,672,534,784,
198,388,258,874,243,259,269,180,150,949,796,841,935,206,753,917,769,136,778,
765,499,336,828,131,371,970,504,708,222,063,464,775,720,049,227,220,206,144,
928,736,672,597,343,411,977,525,234,424,245,305,985,770,632,716,696,876,143,
824,867,692,921,954,260,772,681,599,735,512,242,662,865,510,141,282,820,930,
288,014,506,972,295,354,028,185,244,566,316,084,667,873,925,703,248,567,319,
421,732,878,874,367,571,319,955,626,068,481,223,168,661,178,170,877,524,387,
195,970,733,179,522,470,186,349,030,629,792,616,580,789,008,722,793,067,581,
141,243,577,287,968,865,544,559,712,199,856,216,509,859,327,896,954,902,090,
894,819,870,207,921,045,656,407,255,343,523,075,644,379,892,760,059,970,451,
053,254,906,789,319,101,585,589,856,864,072,008,232,033,954,183,577,877,494,
754,120,055,955,178,592,890,951,670,607,892,096,216,763,813,427,915,407,760,
770,831,438,053,789,166,642,962,402,829,468,536,465,384,961,611,583,447,755,
570,451,423,065,440,621,825,180,484,478,297,542,412,579,420,972,205,877,094,
134,921,297,615,776,784,499,918,310,780,827,077,086,062,694,381,311,751,914,
286,975,098,495,087,791,579,879,442,003,953,066,016,493,079,484,499,630,068,
336,246,405,164,008,652,441,497,650,049,307,640,687,405,156,967,350,273,603,
334,300,546,914,296,747,480,973,023,461,801,994,853,934,579,837,579,868,266,
669,632,629,778,224,821,374,413,937,024,186,335,231,527,477,333,077,633,216,
404,059,535,642,961,420,549,459,731,932,396,083,402,398,461,526,599,579,439,
023,415,500,062,182,362,682,801,177,026,282,053,426,276,352,796,758,337,027,
998,166,535,743,210,248,631,119,548,414,197,733,158,843,458,536,798,677,742,
656,120,733,505,316,965,211,768,607,134,501,244,168,643,714,036,887,463,572,
303,896,225,720,984,498,609,401,243,641,131,612,400,782,689,477,598,648,426,
678,310,989,267,341,913,065,548,784,127,561,332,335,367,585,517,868,181,386,
394,718,649,588,547,630,918,428,926,779,589,200,665,186,489,407,316,964,094,
397,970,777,016,532,992,886,355,997,751,430,271,771,576,002,368,483,241,446,
172,089,940,823,764,373,494,559,714,835,156,001,860,200,093,309,849,413,686,
972,454,134,945,031,812,446,124,800,181,023,467,736,308,825,226,151,471,533,
500,423,892,824,695,402,800,752,806,942,739,051,030,863,776,458,594,069,981,
679,783,337,217,364,805,513,934,743,975,103,891,949,285,257,938,776,003,178,
839,549,988,824,054,973,908,465,869,365,243,867,509,182,546,045,764,057,724,
561,385,629,720,960,935,802,321,897,996,064,100,705,931,902,665,778,622,739,
604,031,214,580,553,468,478,436,837,537,812,590,437,753,909,781,370,414,511,
228,790,087,850,064,672,936,614,596,697,986,225,335,571,346,129,782,945,398,
119,065,316,767,498,179,203,546,850,990,121,171,191,045,879,259,148,902,800,
000,713,510,549,653,153,330,834,420,507,372,503,013,105,411,193,206,075,720,
521,386,869,673,848,022,076,521,903,272,563,287,164,694,279,813,083,091,689,
736,608,802,960,551,658,639,106,204,562,818,684,706,361,222,955,594,707,483,
678,873,408,817,431,471,100,631,655,652,497,601,858,496,910,218,359,124,825,
064,599,531,229,326,173,701,639,069,838,190,289,988,369,821,372,515,909,171,
722,288,993,503,500,475,787,216,699,868,142,282,915,239,783,478,386,430,965,
284,999,128,150,798,078,375,182,402,544,053,019,981,372,590,343,752,770,957,
952,538,690,359,900,412,397,340,179,336,134,260,874,501,231,737,376,835,377,
505,019,071,518,114,810,819,374,024,114,482,663,530,042,174,243,483,948,244,
538,081,858,909,417,644,134,410,443,979,843,961,524,914,583,000,702,951,210,
121,190,936,183,227,000,657,902,699,326,673,207,757,331,494,823,853,707,940,
430,473,901,884,583,959,548,890,560,322,721,069,817,293,291,365,823,791,490,
868,378,307,055,585,908,423,932,957,464,645,826,373,857,780,126,336,162,782,
206,340,748,191,644,126,126,049,367,230,120,494,407,007,987,835,186,434,271,
143,740,861,841,137,015,582,375,285,637,985,498,300,205,767,310,816,631,854,
268,682,437,450,728,805,040,608,221,035,828,004,130,651,653,337,966,534,665,
296,180,820,884,094,246,714,383,116,688,243,779,966,740,852,363,658,924,055,
343,801,478,914,179,632,128,356,502,498,558,822,992,688,623,269,159,255,135,
043,997,666,142,733,834,492,442,823,781,245,054,084,096,243,259,050,349,755,
560,010,713,752,848,062,744,041,852,835,445,998,204,530,891,832,971,079,506,
460,902,458,446,710,690,427,826,258,345,806,011,385,800,882,597,447,404,982,
922,246,665,887,321,097,218,821,588,373,839,950,192,587,941,637,798,246,362,
792,774,765,408,362,032,209,234,168,294,062,963,844,421,634,503,281,290,897,
603,015,315,620,317,764,723,547,065,047,042,384,320,402,166,718,928,504,909,
737,050,737,752,980,883,112,923,555,756,399,847,336,868,964,013,118,210,109,
504,904,123,572,295,004,183,095,771,731,406,763,925,738,063,510,147,533,408,
229,070,594,565,069,476,453,240,389,892,257,853,550,857,912,326,699,254,902,
087,133,723,540,616,241,487,519,318,726,176,782,181,452,349,468,690,207,891,
128,355,806,951,467,520,729,029,316,057,413,662,415,413,768,912,379,974,455,
941,515,815,436,168,242,774,808,979,680,288,184,583,000,319,382,164,534,447,
143,232,660,596,473,611,103,224,884,506,894,595,524,740,792,874,788,252,031,
991,369,382,587,822,758,378,958,315,397,653,392,723,913,370,489,461,749,695,
449,775,589,910,920,208,474,495,644,072,060,248,765,329,022,665,676,111,472,
571,107,672,455,725,968,173,665,338,679,266,631,764,946,687,295,660,562,049,
684,376,191,938,958,270,574,050,900,284,683,776,510,828,246,294,135,584,388,
974,712,390,617,009,976,786,409,009,154,812,154,772,147,109,501,390,903,088,
713,225,770,294,447,152,298,703,067,153,909,934,394,996,786,495,017,377,935,
122,625,459,804,757,092,079,946,483,342,858,531,284,336,507,456,492,277,476,
391,980,888,846,459,099,837,644,008,060,066,102,782,048,085,654,523,543,479,
853,018,453,697,648,887,146,290,362,120,267,709,179,199,549,884,628,484,030,
237,746,447,120,232,566,115,591,135,817,548,976,336,975,161,709,746,891,518,
896,330,071,946,867,023,659,398,612,800,539,680,838,935,275,477,956,915,453,
694,796,626,596,985,000,465,909,934,034,375,623,449,389,809,908,080,059,320,
985,215,297,217,842,144,135,803,028,767,718,051,516,032,177,049,322,899,896,
371,659,356,674,025,252,923,337,128,482,170,241,174,597,654,320,337,636,345,
866,791,141,117,963,496,856,958,908,371,671,481,694,667,993,958,900,878,164,
783,230,019,804,576,337,069,043,892,142,156,525,107,901,795,541,824,415,642,
600,550,863,655,472,944,803,999,788,108,354,293,994,400,733,714,605,587,402,
393,200,024,163,394,370,638,404,697,948,507,039,723,810,737,435,877,197,608,
534,981,520,105,463,105,909,416,323,473,870,290,735,656,901,075,748,902,505,
364,255,756,268,338,530,156,334,781,219,028,267,370,604,805,473,268,242,218,
029,438,463,919,784,470,084,782,564,660,208,092,012,414,568,648,778,078,669,
577,223,197,279,578,757,479,734,999,499,311,085,676,193,527,726,233,769,795,
446,746,365,906,599,426,625,681,967,971,933,987,934,672,586,143,906,341,546,
570,218,095,260,813,858,821,257,221,052,366,921,172,532,257,146,343,284,392,
992,404,699,587,076,846,655,467,501,194,221,865,421,071,591,544,458,945,356,
702,044,174,198,125,484,249,825,788,743,248,985,213,485,027,533,151,572,296,
586,425,230,671,096,536,424,860,087,723,740,749,856,038,865,153,112,333,749,
810,503,437,390,157,626,201,397,958,206,726,539,430,279,827,140,538,809,896,
126,956,617,052,683,471,558,212,411,399,294,490,227,119,322,139,764,214,864,
873,563,225,715,315,195,381,361,258,504,588,418,098,107,887,560,277,288,832,
848,347,812,717,460,058,476,673,850,445,242,920,092,799,198,199,609,024,341,
410,393,794,703,299,758,203,255,944,799,945,263,734,840,687,018,023,826,603,
702,000,231,863,147,529,928,383,190,204,389,502,655,632,422,093,637,947,718,
047,626,987,440,204,945,430,364,185,299,486,990,874,935,718,225,458,128,965,
570,197,577,155,234,879,239,958,779,590,924,782,566,392,798,633,753,771,276,
214,475,824,110,167,993,625,625,655,763,737,664,590,174,875,365,034,817,958,
931,626,306,505,082,771,146,730,865,968,103,285,288,852,931,539,700,919,985,
235,870,770,470,450,901,900,221,859,415,497,635,857,189,869,540,869,493,618,
815,977,311,671,776,828,717,674,602,246,572,234,747,522,302,180,951,640,464,
173,841,927,698,181,772,809,946,132,156,155,534,739,209,132,228,753,373,064,
381,163,381,297,751,016,459,371,346,575,557,985,291,196,690,716,937,588,190,
448,834,931,916,721,346,136,352,065,073,565,969,255,975,839,528,636,148,874,
055,572,876,692,121,890,884,829,365,915,728,885,744,657,560,081,023,209,342,
114,087,086,999,014,769,599,480,783,208,515,803,382,990,584,673,336,809,913,
293,414,444,983,865,945,691,405,495,683,811,487,298,195,994,112,513,170,924,
823,748,591,043,833,109,486,335,087,365,924,648,796,191,035,548,694,045,366,
507,866,555,264,313,238,562,690,914,224,993,518,442,801,498,039,319,977,283,
695,410,686,013,440,106,019,374,312,318,282,548,088,263,484,542,389,588,832,
730,860,751,554,380,083,820,229,449,738,716,817,117,773,060,074,308,739,984,
619,370,668,318,899,708,089,417,425,844,659,747,006,794,406,159,273,887,662,
237,672,512,370,540,217,706,404,474,584,930,544,182,452,759,948,780,795,895,
927,041,344,723,350,222,644,626,408,434,541,191,481,658,013,539,283,558,401,
579,218,005,266,718,834,890,904,887,851,289,585,813,785,311,617,440,779,382,
436,875,301,667,743,325,649,375,038,553,213,694,482,555,738,358,611,812,131,
524,255,014,188,196,074,700,727,897,551,038,145,216,702,409,432,694,338,958,
580,817,079,022,432,640,963,209,635,144,130,818,558,264,631,900,056,191,091,
701,049,951,645,847,414,697,588,973,692,240,200,027,525,275,260,065,258,137,
156,012,888,713,892,324,512,325,276,051,119,337,260,623,953,145,369,038,164,
718,085,348,235,403,657,582,641,518,236,968,757,589,133,792,539,211,397,351,
821,520,068,969,877,185,401,069,609,882,003,083,224,939,751,816,108,352,438,
682,751,345,986,726,034,895,840,413,491,403,193,909,619,019,854,852,293,648,
095,870,761,602,723,064,993,142,180,286,573,953,972,287,919,931,687,969,257,
787,218,678,961,043,421,873,086,851,577,715,952,149,929,885,730,661,366,968,
056,502,694,101,257,555,300,679,752,180,029,381,033,840,919,473,057,766,824,
088,102,753,789,287,051,188,595,950,901,739,213,861,865,098,215,735,521,832,
419,678,214,433,464,334,855,847,910,165,272,190,725,179,170,018,339,596,245,
692,106,158,249,645,977,532,003,716,684,607,710,265,479,573,883,667,246,634,
817,501,395,620,902,521,155,657,735,534,752,964,264,675,603,693,479,138,306,
223,314,552,229,726,765,629,504,729,909,639,991,943,925,123,926,726,872,335,
597,338,042,346,105,708,574,752,686,033,446,358,077,878,103,893,374,147,191,
885,142,512,112,394,094,174,928,146,524,652,699,858,475,823,339,730,743,594,
515,964,022,158,499,855,633,474,699,189,164,678,165,695,806,228,767,913,223,
513,082,584,611,174,593,570,749,435,180,428,052,785,598,708,169,484,226,811,
898,179,879,520,344,263,447,030,018,691,032,225,553,005,524,737,821,349,272,
808,353,564,679,485,088,111,154,780,967,827,085,400,751,052,928,466,346,210,
600,578,850,732,748,063,438,279,884,284,645,303,111,943,339,508,193,435,922,
252,492,586,316,142,982,575,250,321,640,283,286,464,998,756,579,154,279,131,
274,481,653,878,223,180,162,953,999,979,909,213,950,035,340,647,623,189,237,
929,049,950,222,545,394,755,075,501,550,637,928,664,101,452,381,630,409,364,
503,200,829,005,889,662,057,204,270,965,515,943,624,816,120,169,899,091,055,
579,457,412,429,328,221,248,801,348,825,376,436,710,869,852,899,385,939,473,
025,959,036,745,156,806,163,348,455,579,505,587,387,046,756,756,848,934,906,
310,556,138,661,659,907,052,968,306,562,806,554,996,738,847,612,127,735,542,
433,785,388,140,931,962,250,454,994,419,540,496,824,321,579,710,669,044,026,
138,304,728,268,479,508,899,877,737,961,151,417,666,905,906,400,772,549,848,
174,381,297,299,408,513,849,217,876,943,283,997,422,061,384,305,472,896,044,
445,909,311,759,503,433,765,065,031,959,991,203,624,655,126,492,856,984,103,
322,463,431,429,870,948,839,282,053,986,856,448,316,499,637,641,962,483,682,
829,173,619,304,388,708,234,501,639,606,787,709,851,008,620,988,218,776,396,
746,151,001,095,265,173,370,518,916,380,256,663,334,189,212,025,186,610,307,
407,535,981,221,861,310,903,709,478,042,954,104,942,603,542,390,565,976,040,
199,857,336,818,015,622,481,918,753,456,287,920,509,130,930,910,371,522,012,
807,946,569,135,770,885,344,495,847,428,867,883,674,742,908,405,491,284,245,
927,502,331,604,891,912,831,067,330,710,355,882,861,664,316,751,447,657,386,
400,370,045,201,657,984,026,714,034,308,512,492,300,475,733,079,166,292,085,
799,353,888,602,805,801,126,388,439,294,527,986,692,860,197,444,774,361,305,
380,981,983,478,044,939,102,978,671,641,397,473,555,265,874,425,331,318,594,
697,319,360,778,963,879,495,827,974,945,712,517,285,638,995,155,882,744,481,
120,775,206,965,099,604,095,150,872,018,633,938,229,623,045,137,908,186,941,
225,606,562,454,425,124,015,494,731,626,825,894,124,093,156,585,808,108,940,
002,764,335,297,994,831,336,251,935,459,105,520,745,821,594,792,699,459,967,
562,440,347,341,188,180,816,167,327,614,386,277,984,802,007,188,589,253,552,
303,713,325,693,524,500,093,726,161,021,495,358,897,965,685,822,975,483,195,
418,408,545,447,270,644,984,978,220,889,929,623,046,123,658,345,091,280,783,
695,287,536,373,176,178,325,382,649,624,614,995,593,875,565,268,331,725,939,
157,132,560,543,566,942,459,420,465,167,963,568,036,078,782,159,188,314,174,
746,591,712,821,437,559,292,117,445,598,554,020,168,803,142,441,871,970,149,
993,567,005,737,887,014,123,048,182,989,206,966,846,020,250,506,883,763,235,
740,682,979,717,304,151,477,665,894,392,747,759,698,255,642,352,925,655,055,
377,556,374,044,668,894,133,293,580,372,924,258,218,902,913,889,089,966,366,
985,921,234,745,565,210,485,212,415,059,363,927,482,183,826,167,159,237,382,
477,503,514,645,465,321,149,455,673,678,555,934,603,538,530,518,450,164,918,
380,787,143,618,353,988,568,888,604,707,567,301,305,370,132,899,403,519,984,
066,710,544,600,639,289,474,794,235,441,660,316,933,970,743,949,135,016,238,
128,863,755,024,844,682,254,172,783,524,153,272,906,913,504,324,953,250,553,
438,537,655,449,064,728,501,870,207,634,401,754,431,135,197,008,071,654,402,
564,688,699,353,245,312,076,305,023,699,585,863,582,576,486,335,691,048,704,
276,830,674,285,683,459,939,121,688,945,611,814,387,242,059,907,658,019,852,
838,441,514,597,137,558,687,199,218,517,914,528,613,800,566,095,935,035,399,
564,902,143,629,891,157,978,673,901,794,536,088,078,033,485,047,345,981,674,
302,927,807,589,097,922,043,864,438,324,380,957,374,062,261,212,427,264,575,
364,571,065,123,569,047,394,606,565,093,772,357,673,754,182,469,495,177,879,
682,925,818,673,794,441,036,643,664,352,600,835,823,443,532,187,757,680,211,
552,470,134,095,104,500,775,045,002,861,240,889,458,775,622,627,532,848,872,
605,761,131,096,242,986,487,360,257,872,244,900,871,693,802,845,667,133,648,
497,667,030,150,411,559,402,296,162,796,103,247,795,848,939,878,665,968,652,
662,822,695,783,039,125,378,959,993,868,480,634,978,567,758,715,985,619,702,
875,740,987,157,546,757,574,955,776,355,337,909,645,208,620,643,532,417,824,
247,690,536,374,040,969,599,698,748,245,492,782,668,821,875,339,065,799,868,
403,687,587,060,773,450,691,431,513,438,996,188,087,210,721,674,379,592,653,
512,856,291,624,655,593,379,752,265,849,616,628,257,664,936,205,424,000,130,
149,834,455,188,031,240,817,432,051,899,857,452,039,561,284,847,839,360,688,
144,326,600,668,183,020,500,281,237,867,285,944,816,454,610,837,054,651,088,
347,334,364,171,013,010,182,603,806,517,505,286,604,684,236,781,273,323,544,
814,987,679,175,038,419,249,969,014,094,084,682,628,264,369,858,478,183,355,
915,906,183,248,124,368,376,228,451,406,139,270,869,323,357,306,528,956,292,
699,004,165,330,635,500,704,916,522,784,401,425,178,490,502,039,646,413,362,
609,925,158,995,630,169,436,064,402,544,999,648,893,789,775,124,223,483,627,
522,475,979,932,537,528,323,296,759,144,021,296,275,770,276,103,949,663,770,
464,258,498,011,845,029,915,349,067,139,156,878,511,039,638,070,561,160,718,
859,171,709,426,296,210,907,870,345,922,307,434,248,707,179,703,678,503,445,
807,982,494,379,116,562,509,734,177,496,381,722,555,411,580,304,538,749,744,
371,605,318,609,267,729,688,914,973,134,989,607,646,803,941,821,309,747,828,
991,238,955,573,992,021,694,450,351,151,548,692,895,898,988,518,380,182,239,
567,973,658,419,622,191,720,088,692,572,039,367,151,546,582,055,643,794,216,
135,859,342,764,895,464,923,877,441,400,658,001,460,263,607,392,245,685,672,
791,328,680,269,867,447,751,069,075,656,760,378,270,560,489,985,210,466,838,
065,374,696,225,283,936,781,326,947,839,333,224,952,339,563,168,136,403,707,
975,719,903,932,055,960,794,156,358,001,296,476,772,525,956,556,686,992,936,
430,419,677,263,643,146,715,746,023,760,265,194,234,522,833,621,244,149,717,
567,970,134,860,619,474,874,148,211,693,184,400,427,794,055,963,874,805,537,
580,042,941,866,051,842,898,861,857,930,704,425,086,349,610,295,788,917,263,
415,104,972,728,616,310,981,685,152,839,524,273,142,991,882,870,671,796,204,
360,427,972,789,053,178,261,750,869,477,612,716,389,761,907,937,144,247,656,
554,438,642,304,235,010,322,134,074,476,609,443,662,472,466,498,236,669,241,
741,012,216,349,339,613,064,774,151,508,955,852,435,467,733,468,330,618,267,
067,298,157,607,286,929,790,861,731,015,331,597,287,931,631,991,309,200,225,
477,465,640,858,384,604,853,431,205,896,755,356,352,761,468,682,729,858,922,
429,292,088,230,376,913,931,526,019,700,444,503,934,617,486,453,182,233,521,
920,548,694,746,324,609,400,192,004,432,984,071,762,192,324,716,472,214,172,
801,064,018,869,566,527,965,716,731,127,905,446,601,806,058,969,248,066,093,
999,194,619,495,695,046,662,572,477,076,100,787,954,648,044,299,963,787,104,
743,685,033,905,850,648,856,245,590,572,413,138,514,293,141,253,004,958,286,
072,551,911,978,842,644,836,577,282,334,059,272,679,499,533,578,236,168,186,
715,517,955,933,466,006,809,336,008,776,463,863,424,572,737,736,712,096,446,
206,517,238,498,705,171,557,395,581,450,927,947,427,738,133,202,638,432,998,
628,665,601,257,887,716,083,446,730,569,033,293,751,398,922,135,311,800,337,
546,548,504,447,139,010,463,341,659,365,046,342,320,254,142,411,442,526,377,
527,224,623,954,544,481,211,789,530,016,685,661,000,907,992,292,579,247,043,
124,862,206,857,514,054,873,420,018,270,111,776,428,455,901,300,993,042,993,
639,548,338,491,204,382,048,633,146,792,048,776,837,477,982,800,518,014,131,
663,459,440,857,148,112,422,749,578,147,192,097,000,609,813,069,702,174,856,
300,512,901,367,200,745,751,429,833,574,736,602,427,861,133,701,286,750,656,
785,914,436,033,533,498,214,378,790,589,923,712,131,154,506,013,170,590,247,
595,749,955,929,163,563,573,726,599,728,483,504,610,537,845,076,050,905,186,
303,330,675,598,346,932,271,371,275,932,388,565,952,611,338,162,518,633,294,
218,616,150,743,510,458,629,524,126,089,959,249,241,876,667,091,600,490,268,
818,053,873,071,285,896,996,308,122,966,413,410,730,906,885,230,481,749,040,
213,939,587,018,053,537,289,344,808,181,741,051,514,460,687,966,398,716,982,
244,743,133,464,731,163,084,551,516,001,637,834,275,409,898,104,329,763,970,
357,070,453,595,609,966,224,699,184,624,919,305,281,812,837,186,327,725,958,
536,272,841,186,690,007,213,754,608,704,031,787,162,272,856,915,715,853,240,
632,347,794,310,418,193,602,680,723,720,258,267,873,994,439,269,017,532,014,
813,733,323,631,159,143,832,328,527,989,764,412,981,373,288,799,860,411,083,
734,962,325,340,392,783,451,184,989,582,511,865,635,606,357,389,929,690,864,
086,261,581,822,022,228,911,751,179,589,581,104,307,680,700,906,069,655,162,
284,769,351,106,957,584,667,069,334,849,640,657,924,381,505,167,048,528,165,
970,060,418,319,976,528,452,582,230,217,098,924,615,182,532,976,361,628,648,
931,010,808,481,821,125,868,575,593,213,513,632,181,574,416,762,446,215,896,
074,739,980,835,760,289,931,009,900,982,629,287,647,867,281,018,307,412,879,
473,991,940,452,168,764,526,146,312,781,582,188,811,249,599,117,081,589,398,
183,391,745,998,562,866,926,510,605,716,704,421,831,833,176,563,539,760,907,
716,916,030,495,341,536,529,346,089,763,763,670,029,806,294,638,768,521,617,
152,757,393,713,087,806,370,255,522,054,397,477,718,134,744,766,396,354,470,
666,865,125,832,516,356,422,693,988,805,389,352,462,567,226,900,824,913,183,
284,371,161,424,421,153,037,278,960,476,963,032,280,880,112,111,185,826,692,
014,124,594,401,031,500,914,139,257,559,771,422,051,325,400,194,245,948,998,
562,740,273,448,730,015,450,073,112,460,753,039,942,010,647,888,589,678,063,
983,994,851,491,048,235,446,430,278,635,495,724,450,380,712,033,867,815,582,
854,959,726,493,954,634,002,976,423,304,437,909,043,111,417,749,374,110,370,
061,603,430,261,222,198,490,481,239,551,335,728,882,583,760,836,126,863,243,
991,342,031,692,627,204,801,817,066,903,021,325,965,224,879,862,780,846,965,
760,031,250,513,689,095,820,707,914,444,657,215,743,758,448,857,884,542,948,
662,199,007,987,853,786,585,745,822,695,609,936,876,777,630,630,988,871,850,
142,874,412,357,274,680,730,150,293,552,225,337,283,586,723,671,823,394,458,
719,715,229,254,815,345,970,326,929,502,737,113,504,169,854,911,257,790,386,
662,490,113,556,606,483,958,817,209,222,227,512,362,722,394,052,738,399,292,
093,963,217,710,941,916,391,709,331,028,882,379,995,034,144,326,559,656,908,
545,286,535,161,270,158,518,050,058,929,778,813,260,965,835,615,106,446,410,
586,273,259,140,808,898,448,348,479,385,002,210,731,014,906,530,807,654,103,
107,881,631,421,492,131,627,109,943,933,675,001,113,601,780,291,683,164,431,
919,846,592,354,672,530,132,006,431,442,847,555,706,309,773,364,867,480,290,
982,828,511,141,406,840,310,584,577,993,186,294,250,125,928,775,412,848,093,
894,161,928,341,553,611,502,854,826,263,941,918,814,699,422,797,444,236,236,
025,658,093,422,391,997,794,296,660,598,690,468,341,316,537,107,710,765,704,
329,898,432,910,170,562,948,670,774,752,669,633,439,813,663,262,908,762,916,
931,427,350,827,477,378,271,688,988,523,704,611,016,293,057,273,419,209,059,
067,760,869,173,630,639,671,118,468,169,724,517,532,927,333,843,887,978,035,
771,600,758,857,022,425,446,945,504,467,591,761,238,644,851,609,051,289,082,
005,166,926,847,959,823,349,840,037,588,865,515,856,845,000,550,884,688,012,
727,183,116,836,111,113,538,808,600,668,422,180,195,398,238,671,650,981,385,
454,236,206,060,036,621,534,885,214,474,207,457,086,669,257,533,796,615,906,
107,608,016,445,060,494,176,988,043,718,177,809,760,929,041,876,610,766,482,
141,997,115,840,003,571,777,758,808,825,739,229,261,993,793,760,010,352,351,
628,770,989,471,598,779,808,624,800,161,560,235,929,440,052,956,801,285,606,
095,745,032,500,626,092,791,091,757,965,824,688,443,179,621,695,721,630,201,
491,098,343,500,248,228,046,852,482,445,416,476,528,109,028,767,936,718,576,
069,064,925,878,847,578,225,467,624,265,330,895,731,533,851,695,226,678,453,
164,289,746,771,411,952,996,428,033,589,046,508,713,538,230,760,787,708,842,
912,393,287,400,553,712,268,630,369,427,990,749,186,266,156,559,697,667,457,
750,302,762,821,402,019,118,093,492,691,241,114,098,451,066,529,916,704,178,
268,235,452,451,465,522,276,957,273,067,174,906,138,752,024,997,907,519,683,
497,029,482,879,559,974,855,457,152,250,786,284,614,233,219,514,168,438,182,
122,644,182,639,699,879,033,525,507,924,070,853,795,907,344,065,638,606,494,
870,076,197,191,538,426,225,984,385,500,222,459,114,091,478,793,787,597,054,
512,358,616,252,087,908,145,629,805,037,104,377,819,496,587,674,436,136,317,
783,489,806,773,261,752,179,227,903,446,810,573,738,870,793,115,641,584,948,
581,369,206,679,118,837,625,829,173,644,210,040,948,815,238,492,305,431,563,
520,566,573,051,204,919,347,169,552,584,253,288,598,836,574,556,780,718,002,
828,190,374,875,115,713,933,337,674,624,664,747,653,310,496,923,552,485,913,
934,822,377,653,894,302,419,280,596,622,571,912,349,383,885,173,336,931,404,
074,392,940,529,903,780,016,774,058,817,987,918,120,786,922,592,619,777,752,
224,859,852,783,057,895,484,702,360,174,147,437,479,486,301,609,674,203,884,
855,476,940,433,575,575,241,372,778,750,599,215,413,946,866,906,729,360,984,
992,881,048,767,720,071,617,603,782,340,737,024,137,656,275,636,326,514,575,
098,344,322,062,286,297,489,965,599,768,076,584,534,673,821,262,309,882,328,
452,631,808,933,869,899,530,308,926,964,026,494,020,386,795,309,422,446,030,
132,206,078,042,628,552,641,337,701,330,089,308,809,789,043,916,222,520,209,
516,410,120,527,691,000,926,983,967,932,259,477,583,859,966,819,735,212,650,
643,613,374,681,332,909,131,171,087,071,632,263,492,653,476,430,734,795,122,
340,077,588,160,787,561,875,832,510,080,317,125,782,859,658,055,473,035,878,
326,934,724,008,700,363,778,896,405,011,673,849,192,598,902,207,025,406,146,
924,724,413,413,976,478,519,171,619,637,455,830,615,093,051,159,252,566,424,
342,492,619,206,910,134,710,020,114,920,633,865,422,153,023,237,418,500,956,
825,146,360,372,824,057,159,711,659,752,568,426,264,181,532,843,525,391,093,
216,599,035,992,937,997,739,877,320,814,720,981,610,762,304,773,495,197,981,
422,072,500,941,206,344,905,807,533,284,488,807,632,616,628,437,217,363,701,
577,277,868,892,989,720,588,639,329,121,566,240,426,576,384,845,115,082,347,
849,719,288,632,571,405,485,670,210,361,032,894,704,923,818,490,859,031,108,
412,436,173,308,182,156,664,884,219,169,869,618,104,440,258,723,192,688,621,
042,674,038,472,067,518,958,306,693,463,440,983,740,964,554,237,284,427,652,
731,974,444,218,494,325,513,617,825,841,189,389,147,143,454,053,139,931,954,
830,885,089,673,681,459,764,269,007,466,895,954,325,080,494,987,815,381,001,
065,583,259,705,282,950,428,661,254,512,361,169,277,657,309,184,396,488,604,
798,710,991,270,522,487,546,442,646,888,889,853,736,351,823,695,682,113,526,
467,812,864,269,837,596,312,685,883,414,445,187,872,799,738,102,221,951,149,
275,325,238,253,614,575,171,897,098,561,638,090,933,960,840,893,755,977,335,
235,285,253,538,933,038,763,262,555,496,682,766,369,580,537,302,811,898,848,
680,129,349,492,207,716,069,912,125,328,568,601,690,362,810,779,963,692,374,
521,268,636,105,728,323,331,990,207,339,438,768,072,866,104,912,327,576,221,
665,928,918,337,925,315,354,484,413,351,194,406,687,437,883,528,708,279,978,
580,732,480,543,714,464,985,241,638,977,806,388,335,148,907,294,723,559,938,
585,153,671,318,347,870,819,004,473,942,785,283,870,647,476,193,789,051,728,
877,228,027,958,925,330,021,151,587,204,327,748,298,705,059,342,047,341,244,
593,118,092,513,280,548,886,758,866,218,782,927,700,283,334,976,170,044,023,
451,491,742,209,265,958,682,023,102,418,346,576,007,293,041,346,362,462,623,
070,472,331,028,319,382,839,249,427,041,115,322,868,204,795,642,818,620,157,
963,201,496,575,738,511,733,971,715,981,915,506,549,056,828,180,253,698,175,
862,449,374,757,264,629,321,677,621,906,477,276,965,770,802,075,762,324,291,
271,401,320,724,672,145,677,608,653,398,121,096,864,083,493,633,580,693,363,
044,015,094,098,193,249,529,866,164,680,152,675,621,817,443,252,865,591,843,
949,024,409,546,203,687,991,807,271,898,258,242,361,642,525,242,239,724,405,
449,422,830,472,687,024,820,765,304,383,383,326,222,813,631,773,370,489,884,
729,632,760,303,400,367,872,110,609,427,108,849,786,694,894,272,013,768,494,
285,645,162,285,731,205,108,851,772,083,868,864,435,988,394,012,515,560,097,
517,172,694,622,162,831,277,985,445,019,654,893,170,001,966,274,783,525,893,
472,122,366,859,256,699,122,069,185,962,940,448,884,136,207,173,020,862,204,
551,215,195,535,946,491,155,478,848,357,038,438,988,416,031,557,218,335,920,
058,749,931,298,680,766,652,595,965,141,823,578,693,571,342,947,862,877,691,
945,835,759,355,401,168,554,540,554,351,506,982,950,478,539,194,762,267,278,
800,969,252,671,728,267,913,213,818,656,437,019,515,496,381,888,065,073,165,
488,309,773,490,564,615,305,725,301,579,332,473,702,470,874,467,203,716,067,
616,622,666,312,726,421,482,685,540,039,061,436,889,518,205,165,103,328,078,
297,386,799,292,130,642,526,241,240,252,571,624,900,588,552,041,787,573,420,
655,062,299,683,194,737,677,742,950,553,375,040,441,938,925,159,426,827,032,
117,265,327,903,213,757,495,700,615,182,315,706,703,797,059,763,578,636,009,
150,203,977,690,175,906,551,121,203,172,379,839,506,192,642,516,280,805,910,
345,107,501,929,805,528,061,291,497,189,210,706,169,787,330,285,368,655,395,
339,590,434,032,728,325,234,037,493,481,304,686,884,921,584,274,170,325,271,
847,670,969,483,423,417,963,763,620,880,165,806,319,096,701,029,986,983,589,
931,959,141,043,098,069,117,937,207,581,838,555,956,261,422,250,248,738,531,
561,038,416,909,700,265,848,742,785,048,246,529,904,198,963,863,372,438,596,
098,678,794,318,939,235,509,437,271,851,895,074,610,383,123,347,369,598,388,
281,983,140,537,210,932,139,556,604,974,324,336,635,922,014,521,007,120,734,
290,037,440,407,739,385,941,442,718,682,825,229,936,278,449,487,659,753,866,
113,120,959,093,121,300,584,581,683,537,890,716,979,708,020,367,695,082,418,
720,529,605,031,264,643,417,542,746,735,606,599,170,856,287,752,468,362,625,
527,483,390,107,031,886,061,994,957,279,259,305,420,764,485,470,408,881,046,
317,874,430,236,151,137,934,625,724,961,166,048,735,559,062,151,181,302,433,
932,255,523,304,854,903,066,647,885,894,841,151,579,702,781,104,664,190,232,
204,160,544,916,151,699,518,221,860,702,242,330,678,692,234,745,743,514,304,
861,405,728,479,160,951,803,993,520,298,281,692,063,853,544,842,262,634,679,
937,460,397,502,745,167,986,760,617,624,571,199,128,867,385,363,156,375,641,
371,302,541,574,974,264,356,220,188,505,605,858,174,571,985,008,656,047,220,
174,616,949,236,521,695,370,844,026,802,225,422,903,119,459,278,305,130,287,
489,981,079,349,026,622,711,580,000,750,067,298,965,979,524,124,485,620,369,
183,528,108,655,188,002,310,416,433,079,216,596,680,916,236,098,808,333,848,
450,887,529,042,743,215,501,766,950,456,731,500,565,854,171,820,564,559,292,
121,273,649,296,634,314,463,670,930,965,788,217,907,982,931,706,454,374,268,
095,608,702,920,438,161,743,405,821,939,425,830,012,761,528,413,943,253,012,
215,785,777,376,517,849,086,969,616,633,401,026,204,523,126,046,473,931,939,
534,366,590,899,517,182,735,607,377,313,473,209,545,425,714,300,144,282,324,
549,279,634,945,377,278,285,394,562,860,562,773,890,528,984,523,987,079,017,
541,596,839,573,814,705,733,667,970,681,571,853,571,022,822,792,678,641,816,
891,733,503,519,275,121,564,644,129,307,997,387,425,327,593,153,359,831,429,
006,737,943,375,892,663,471,102,172,383,532,228,366,839,349,557,073,620,844,
195,116,268,319,106,219,142,100,450,254,778,551,291,169,837,624,536,768,777,
971,583,337,743,074,894,018,346,516,197,928,991,887,296,339,636,286,314,969,
861,746,337,917,369,165,668,511,935,937,056,193,232,734,881,860,485,176,641,
785,677,745,519,602,002,425,641,673,103,700,920,805,257,600,226,308,644,794,
375,661,290,578,043,390,552,757,737,480,169,325,738,944,753,548,651,317,784,
358,957,341,406,363,089,712,611,420,394,311,104,864,061,194,189,050,722,711,
325,987,187,878,013,657,996,526,585,624,886,551,313,223,754,890,637,362,036,
878,208,026,321,951,691,281,877,517,120,316,601,755,306,301,379,556,824,140,
076,883,643,589,896,868,832,624,330,795,530,416,682,955,980,295,086,910,542,
919,612,894,250,908,611,923,870,700,713,388,752,915,621,495,553,403,910,917,
061,120,070,471,525,322,333,005,699,387,170,008,420,917,014,889,008,387,937,
933,784,077,774,715,373,338,373,767,113,591,950,022,806,185,744,510,411,502,
985,690,958,263,490,376,709,913,511,670,650,252,269,455,375,213,166,350,363,
308,433,341,086,460,583,945,957,715,753,798,326,799,125,388,282,196,896,711,
048,418,950,847,548,398,250,801,033,507,040,054,591,354,773,954,015,391,163,
443,395,389,613,279,185,004,237,199,931,868,648,462,158,601,618,276,180,100,
284,916,600,125,594,333,294,663,262,305,033,123,730,377,602,811,938,878,506,
169,883,329,759,760,850,772,889,006,073,936,459,816,761,089,118,306,867,243,
245,518,274,440,132,930,936,360,719,601,081,718,499,411,007,590,409,227,262,
651,065,329,035,829,673,045,633,842,192,346,952,583,936,582,698,128,453,183,
739,229,394,519,299,029,605,167,988,893,320,873,686,573,214,538,057,454,850,
201,060,815,063,681,634,026,154,915,338,738,783,386,884,327,666,567,429,564,
935,869,632,810,373,423,495,883,749,367,532,485,195,182,253,418,847,325,596,
785,641,060,849,520,282,859,907,543,218,307,363,613,123,981,840,782,506,018,
014,401,300,118,674,451,232,436,047,367,549,101,828,961,436,371,522,448,927,
996,083,955,561,497,331,910,533,957,024,795,675,741,904,967,473,896,631,640,
408,650,347,556,477,422,173,771,211,319,481,633,083,635,718,767,526,426,566,
739,875,966,357,051,720,405,761,037,681,102,015,397,315,323,333,373,882,278,
445,690,772,982,580,889,471,826,092,252,810,084,573,756,782,092,517,973,237,
603,219,495,188,741,195,207,071,164,779,236,450,637,902,204,369,978,520,832,
362,242,527,531,316,096,231,897,101,638,933,441,905,268,694,229,914,966,709,
920,479,574,038,248,192,117,109,068,267,420,081,797,456,294,437,911,265,000,
734,636,046,138,054,792,455,635,108,631,174,123,072,806,998,812,687,860,176,
509,090,808,187,925,141,021,477,282,210,314,807,941,322,915,868,050,714,687,
324,920,117,065,581,204,553,367,102,868,548,125,109,965,988,605,427,826,494,
452,675,809,084,128,478,979,499,488,553,495,992,236,284,330,153,137,934,672,
500,170,744,734,952,003,734,362,004,672,394,651,377,711,620,944,921,122,799,
597,300,573,672,835,664,786,478,546,023,021,161,532,608,599,552,837,796,653,
440,229,062,814,728,993,461,092,494,641,452,892,602,954,664,476,393,682,651,
266,478,172,660,536,051,933,620,923,585,280,588,484,229,146,163,253,800,612,
331,748,642,630,153,194,432,290,984,935,799,883,699,390,686,588,480,943,227,
073,242,125,811,598,771,117,487,627,907,058,010,765,704,335,235,300,858,421,
685,246,674,153,514,823,197,116,679,211,810,557,383,331,277,571,870,363,796,
714,328,833,600,751,732,666,014,006,396,642,265,324,049,356,555,469,392,776,
027,639,157,143,518,504,566,996,568,696,173,594,784,330,684,550,811,517,608,
642,351,871,106,112,921,445,606,185,901,374,235,958,192,076,020,417,207,124,
609,218,409,729,210,927,294,164,149,756,354,662,090,621,217,718,661,559,815,
362,337,281,545,963,656,639,316,056,599,237,694,077,911,430,945,910,541,417,
561,497,252,030,488,034,503,591,937,375,576,340,604,135,105,607,364,726,840,
566,137,502,260,689,485,103,653,314,041,483,475,373,808,652,947,709,288,346,
689,612,173,910,128,755,930,245,191,279,399,067,993,090,496,527,700,157,644,
736,543,767,226,761,569,035,933,818,199,343,906,213,819,128,323,576,910,908,
047,431,715,179,001,413,556,682,869,939,290,881,883,053,825,133,653,272,851,
367,300,427,935,571,044,037,317,680,769,672,660,312,939,135,745,793,853,395,
073,442,761,384,586,660,753,707,433,765,641,127,970,595,891,797,659,057,137,
346,095,492,229,703,965,091,928,247,026,901,373,524,103,215,841,783,295,877,
751,193,088,839,491,588,833,666,736,890,188,455,058,085,146,452,880,673,948,
960,339,386,018,379,494,491,449,231,678,202,846,780,135,947,230,031,880,732,
418,178,383,576,973,837,595,698,356,109,771,262,175,326,419,230,265,104,965,
633,103,687,055,121,643,042,569,116,754,215,106,899,794,796,404,105,538,065,
474,214,529,505,681,367,679,474,353,790,609,763,428,297,624,707,738,863,999,
412,984,266,467,822,477,502,670,120,051,469,352,112,651,523,116,425,512,951,
715,878,434,744,893,396,413,624,776,575,392,530,746,960,487,444,084,281,080,
716,124,430,826,867,657,408,593,085,569,848,273,498,426,569,358,858,269,432,
279,599,401,299,355,755,044,149,075,962,263,915,202,279,707,357,813,559,745,
180,902,085,990,458,807,390,827,113,998,278,899,504,734,357,357,172,770,633,
127,018,896,717,836,167,714,972,904,777,767,022,003,009,485,437,783,774,858,
188,946,977,211,826,218,729,257,135,996,304,524,984,964,317,362,867,007,587,
275,092,662,647,471,446,165,624,618,994,073,749,874,477,440,234,099,436,678,
259,122,462,463,078,778,843,255,362,692,114,429,216,497,306,292,568,353,378,
637,467,145,307,431,737,023,951,270,072,916,235,612,826,419,178,506,010,424,
564,477,380,711,297,628,919,144,454,193,392,768,242,035,158,313,359,283,932,
676,866,661,261,441,326,287,157,983,285,028,740,480,759,042,202,616,565,260,
203,632,900,117,980,889,000,767,175,218,634,465,637,303,448,103,445,289,472,
795,080,088,101,224,337,379,934,465,836,845,216,595,259,199,212,743,243,148,
456,256,338,999,913,048,283,169,448,371,836,924,785,762,552,840,523,390,560,
317,891,493,354,816,939,650,098,936,971,117,865,054,851,923,218,687,566,735,
264,796,547,719,800,928,190,020,675,247,303,216,252,300,282,396,144,617,688,
551,625,884,348,238,125,145,236,905,481,489,650,914,553,501,338,465,227,415,
018,006,384,599,248,039,728,960,021,220,160,234,722,592,686,308,430,156,973,
071,403,351,598,400,053,941,572,921,215,440,337,977,683,719,082,458,894,261,
642,570,061,612,291,826,720,068,137,285,536,644,876,519,281,060,856,585,020,
448,292,675,474,177,305,932,981,762,999,841,127,461,496,923,153,321,224,334,
923,112,057,514,674,133,012,448,744,620,189,840,985,454,697,877,649,302,119,
164,824,657,024,076,957,965,005,341,529,611,968,181,724,928,133,770,051,152,
900,819,005,144,242,547,969,372,930,486,498,800,044,690,814,404,310,683,216,
281,039,312,564,292,024,795,823,750,656,633,157,612,626,541,250,437,740,118,
214,907,161,223,782,732,028,593,525,448,157,383,018,427,824,486,570,645,078,
731,748,084,481,105,993,461,870,232,630,066,314,473,789,430,135,607,775,785,
258,255,530,819,039,194,314,462,775,845,300,914,701,839,436,754,159,455,370,
375,566,671,640,351,019,959,537,512,532,266,812,148,328,108,440,142,121,738,
454,565,142,513,833,761,790,498,903,236,036,610,135,275,574,957,864,351,008,
567,769,466,376,842,829,827,750,300,917,932,844,822,893,595,273,661,571,391,
824,115,419,640,928,431,009,441,711,001,408,085,852,852,287,697,754,272,222,
443,680,158,079,961,344,576,926,426,642,742,299,637,865,940,374,302,348,503,
185,295,733,442,519,871,015,695,717,627,091,936,636,348,047,197,422,291,459,
479,554,288,500,705,103,875,093,634,956,039,555,035,996,965,568,954,701,762,
716,560,638,681,352,287,583,678,839,916,423,955,215,103,261,627,311,111,500,
728,175,156,403,733,270,692,231,115,732,230,294,281,519,164,862,984,563,861,
600,242,743,376,623,648,280,628,115,040,806,095,165,420,393,216,029,420,599,
230,323,797,263,686,882,497,525,024,318,308,440,831,734,374,298,376,559,241,
269,441,710,676,419,361,420,890,272,343,929,436,398,869,729,408,495,392,844,
626,306,255,730,519,104,992,678,568,321,899,368,297,309,559,685,397,826,137,
916,600,989,737,748,995,306,416,532,711,609,386,821,940,793,568,905,092,761,
846,207,196,973,871,825,022,987,072,355,465,257,140,354,992,326,469,287,851,
181,984,263,983,315,601,645,237,333,399,045,077,449,016,882,542,364,457,198,
160,370,356,471,184,470,915,706,682,583,140,051,857,451,299,042,659,197,712,
345,754,291,006,194,952,915,230,263,074,900,230,865,187,593,699,218,274,338,
888,681,773,815,972,848,749,716,908,216,247,392,550,789,928,045,257,433,176,
613,074,601,624,930,533,665,625,378,048,147,771,716,882,780,562,106,188,362,
212,249,705,520,038,441,604,028,762,755,150,266,366,657,933,154,305,481,958,
857,289,441,717,789,951,655,533,877,951,048,178,305,269,594,044,325,350,088,
841,720,528,913,302,837,726,158,016,486,402,986,464,157,342,505,226,678,432,
820,049,978,661,276,790,962,492,249,099,590,961,825,520,770,289,588,304,257,
566,942,691,550,733,709,544,209,203,613,603,654,553,007,259,504,939,248,413,
066,740,218,105,626,112,853,371,815,299,697,554,597,192,817,700,914,359,899,
156,434,388,571,089,810,839,022,159,107,552,465,474,031,309,726,411,980,258,
411,067,670,789,228,279,093,049,613,441,502,748,691,458,068,273,709,020,493,
028,635,815,891,821,570,532,349,024,714,867,695,720,664,646,832,136,609,511,
980,259,292,580,298,780,653,290,392,715,031,512,048,044,213,126,221,012,278,
539,281,890,230,492,441,784,987,638,690,835,251,764,717,723,349,940,279,827,
220,488,962,769,229,411,833,373,075,119,561,770,448,758,929,629,723,608,379,
329,966,140,467,336,449,152,482,393,368,488,690,205,971,117,474,772,086,391,
114,177,312,946,885,882,260,242,830,784,950,233,611,886,534,279,034,445,949,
671,779,531,700,409,070,221,692,484,401,307,623,561,417,396,365,589,654,187,
256,108,244,370,246,043,474,683,658,110,291,562,488,715,711,544,828,033,395,
141,921,168,905,154,403,684,606,943,538,862,752,832,208,821,689,409,625,718,
163,940,248,879,144,320,118,201,023,091,769,413,184,543,127,180,527,263,202,
840,267,107,734,627,712,150,529,599,875,418,929,095,652,833,410,107,720,196,
225,626,761,163,685,441,201,629,947,524,625,344,506,375,272,451,271,163,443,
995,135,045,659,504,404,141,222,749,428,411,744,406,963,672,506,832,447,933,
966,140,225,365,789,784,399,072,882,513,032,313,662,228,613,344,725,578,090,
216,549,373,384,957,887,693,604,043,044,741,346,041,364,958,639,941,176,611,
188,230,497,668,938,796,906,895,710,627,586,357,783,269,068,928,434,318,211,
247,923,391,779,990,044,439,782,641,894,597,560,285,738,164,488,130,729,065,
337,829,002,036,499,571,061,589,339,093,900,725,514,443,269,259,682,216,049,
454,659,436,974,811,353,755,340,484,153,424,685,788,524,246,412,268,338,986,
714,157,409,386,044,185,493,835,223,185,937,681,953,489,660,216,035,842,692,
372,364,495,937,737,399,408,173,945,949,619,534,340,112,837,336,968,139,928,
506,326,240,272,520,797,054,066,629,544,854,267,467,159,643,017,478,316,634,
382,535,168,067,897,456,983,287,676,162,508,760,822,089,254,359,816,104,446,
386,699,929,719,991,012,840,048,524,872,928,318,223,552,925,026,395,495,969,
888,105,342,238,909,546,166,327,518,593,050,916,001,905,123,734,563,649,253,
753,104,574,603,491,208,902,415,369,697,931,183,977,760,641,956,982,270,408,
494,439,570,143,090,942,064,784,421,472,051,251,579,876,515,440,790,168,929,
440,519,779,638,041,181,178,292,570,708,044,701,942,137,797,273,270,377,153,
572,949,203,696,464,959,495,117,893,831,832,671,474,766,727,630,971,565,831,
323,314,674,507,416,390,239,415,857,631,626,295,673,763,549,881,925,179,492,
188,346,755,307,571,726,378,653,704,143,860,035,099,605,511,535,652,424,784,
566,141,404,359,161,833,143,624,270,952,236,475,060,269,771,808,818,797,258,
610,000,197,283,085,422,765,852,759,275,224,534,137,266,948,716,185,882,876,
417,390,741,881,134,176,958,368,872,006,878,932,660,794,758,044,606,106,741,
928,504,601,212,435,851,938,897,686,807,136,096,126,708,262,765,604,596,809,
614,304,856,575,496,774,060,082,634,341,566,419,150,307,340,684,625,477,461,
434,433,504,749,971,603,204,363,248,423,293,415,486,298,492,161,045,329,335,
830,578,116,843,481,764,579,912,632,939,819,054,468,234,715,975,790,343,610,
113,050,301,973,029,285,680,606,566,088,670,625,741,122,058,825,676,334,224,
209,468,637,170,295,355,414,021,105,649,972,871,001,637,382,735,289,284,312,
203,119,422,234,894,241,068,047,246,799,701,831,966,786,038,754,181,299,991,
321,144,367,080,729,613,350,100,967,150,929,840,297,667,981,979,257,461,124,
279,581,359,667,116,115,447,658,684,095,797,837,465,657,337,858,069,549,936,
540,962,284,203,322,657,768,873,896,205,264,157,100,069,788,494,765,850,890,
932,411,548,719,452,230,650,934,801,137,634,236,103,713,110,099,219,717,370,
422,673,238,683,750,860,889,371,116,932,427,348,754,200,686,596,417,542,324,
481,557,763,485,451,670,519,546,098,785,862,529,755,448,120,246,001,557,561,
739,542,527,352,404,182,450,041,164,735,932,156,395,521,775,678,458,026,649,
038,672,985,859,680,645,432,962,167,037,138,422,552,858,128,591,715,041,465,
277,380,984,441,758,283,868,201,728,468,278,650,476,923,513,378,078,494,202,
641,190,443,644,821,146,966,421,097,254,596,621,419,637,451,692,981,216,791,
579,009,776,418,026,306,610,202,980,608,190,332,006,963,121,950,414,587,751,
596,274,354,003,360,523,161,012,618,695,826,800,508,485,998,218,931,850,179,
471,281,238,002,687,073,682,366,781,057,850,790,858,464,393,791,750,856,974,
409,061,106,256,145,957,811,977,258,020,709,428,762,133,652,427,651,090,068,
391,152,750,583,309,289,926,726,651,384,635,812,506,960,247,566,434,804,410,
141,179,947,699,178,331,010,541,509,990,208,843,406,230,679,893,409,184,168,
024,808,397,441,160,778,672,572,064,719,234,571,684,571,453,764,660,282,379,
808,339,341,393,943,899,398,578,707,598,627,868,907,734,583,409,457,719,286,
053,812,036,541,612,789,774,541,411,434,564,200,570,839,733,316,368,858,626,
440,733,285,865,490,094,321,262,319,398,115,839,102,911,108,858,271,277,700,
602,671,284,910,979,058,990,820,256,061,295,295,445,793,935,451,602,869,185,
832,140,535,249,721,158,794,551,590,338,080,006,514,564,692,158,130,037,537,
443,276,356,016,627,019,744,412,742,195,141,765,279,693,833,968,404,255,729,
499,603,291,694,272,167,301,745,796,410,924,106,763,435,844,130,591,388,280,
992,678,234,250,485,565,715,223,319,074,391,301,962,156,999,259,320,404,786,
803,731,849,367,089,734,967,231,194,036,814,018,120,792,892,211,725,908,625,
622,056,055,223,223,586,517,585,404,736,929,874,867,417,703,557,600,069,442,
413,320,871,008,842,856,341,868,070,058,985,718,003,657,048,484,986,348,062,
030,408,689,290,945,345,311,306,717,111,678,266,924,841,306,499,481,726,127,
388,493,777,821,620,806,254,417,232,544,735,636,146,470,879,193,160,676,867,
550,291,058,824,484,984,339,991,481,576,441,062,931,428,654,564,882,305,791,
032,658,476,393,653,004,951,396,010,853,040,206,610,517,274,500,351,567,318,
563,041,358,580,372,479,672,764,879,481,400,228,073,496,669,489,612,843,555,
243,192,689,230,442,034,869,673,569,441,568,508,032,707,508,604,599,040,837,
614,844,039,343,522,823,458,902,490,039,366,163,562,488,647,793,637,935,209,
590,687,588,925,592,705,985,591,086,609,180,869,769,363,863,652,979,471,694,
009,957,768,749,109,071,148,701,190,413,269,034,847,610,499,221,847,333,872,
408,099,079,636,983,388,396,805,806,758,240,343,237,949,573,843,757,401,228,
542,802,308,144,405,528,870,405,018,778,918,258,264,632,917,489,578,437,220,
772,696,079,099,604,982,303,902,984,559,492,968,814,275,106,207,165,927,246,
769,856,236,686,873,848,422,362,372,821,424,678,080,269,799,340,752,701,014,
309,187,754,366,660,674,830,276,357,156,924,503,125,733,540,691,797,303,019,
922,184,829,276,316,620,115,780,311,363,064,380,179,582,070,832,012,655,093,
997,896,658,392,076,253,279,795,964,495,365,855,637,600,429,288,639,778,808,
263,020,393,924,580,321,862,033,444,647,807,136,620,173,902,702,980,227,418,
904,997,280,849,755,105,121,694,201,747,770,541,699,320,581,794,907,834,204,
469,221,925,671,540,872,617,592,992,543,247,940,328,727,566,214,752,632,157,
043,124,814,910,000,628,762,064,960,972,931,778,582,025,217,691,330,225,902,
993,204,484,940,093,764,949,105,651,513,550,119,799,918,342,471,826,670,946,
227,258,820,410,914,533,404,329,370,907,112,550,459,446,343,185,205,473,858,
306,921,830,819,451,328,919,014,314,279,184,204,183,075,008,217,280,447,836,
357,133,799,814,017,085,062,918,071,055,662,910,494,343,361,214,678,876,912,
639,789,958,641,751,886,978,088,280,126,117,842,433,155,580,207,888,339,803,
534,630,379,003,817,245,795,818,886,790,255,663,144,727,226,825,895,953,569,
515,084,487,638,757,486,598,690,095,658,844,398,562,457,341,741,126,151,188,
349,755,641,224,211,363,582,334,934,076,235,842,955,376,738,638,086,512,376,
447,814,461,272,352,828,711,248,133,236,486,188,416,975,616,573,376,385,832,
649,221,885,620,501,691,212,145,839,293,683,153,562,996,512,898,759,694,641,
896,129,936,930,923,245,699,516,749,330,944,002,637,826,299,557,752,229,568,
574,760,094,545,905,895,669,436,235,581,024,777,791,817,273,674,041,452,041,
723,044,512,811,194,113,445,834,395,311,208,063,299,310,082,440,895,386,321,
132,289,567,400,377,285,492,242,639,041,831,485,913,637,519,145,355,909,232,
458,340,723,724,270,605,419,475,212,002,904,419,146,710,818,918,043,545,611,
851,115,642,095,076,915,648,032,936,983,072,401,730,433,117,244,320,756,165,
763,138,897,409,973,196,391,599,783,121,851,196,983,331,655,098,803,015,592,
190,952,795,154,790,931,616,233,433,913,515,079,921,978,193,831,288,497,135,
436,634,255,681,017,423,693,721,001,442,395,967,066,171,057,419,940,483,111,
158,123,202,872,146,444,730,236,788,537,415,945,128,571,115,164,463,785,799,
083,213,462,283,201,739,557,928,149,551,139,081,980,470,258,869,030,306,028,
029,859,431,316,835,114,452,001,751,558,681,841,643,949,695,056,331,321,650,
820,888,859,256,804,055,154,640,076,180,014,185,787,498,831,824,784,049,752,
123,091,303,930,871,422,953,009,054,669,687,442,685,126,900,098,595,773,537,
948,898,007,478,790,356,126,808,350,429,708,972,421,589,145,282,689,772,394,
554,901,002,885,733,286,159,935,301,093,032,555,456,921,158,319,987,795,859,
343,005,158,081,405,422,292,439,505,008,559,844,256,354,907,362,898,297,340,
453,534,914,253,935,061,722,204,241,842,222,627,622,356,139,135,468,646,847,
578,016,854,796,329,805,474,829,769,276,849,942,932,183,217,518,226,756,645,
156,448,467,423,178,510,113,348,670,189,777,428,929,382,985,503,796,402,371,
825,491,932,693,032,150,767,799,377,687,414,320,456,076,914,070,916,790,138,
862,238,396,315,616,852,736,862,918,517,707,734,129,544,456,246,760,828,469,
557,369,001,942,422,632,057,262,073,032,689,822,130,230,899,266,853,261,875,
547,053,847,220,931,159,840,098,918,060,176,790,657,565,141,999,799,521,448,
202,209,299,131,431,916,344,038,345,245,640,019,214,265,838,779,540,154,918,
532,859,353,649,286,187,986,147,564,607,459,000,130,187,753,829,630,049,867,
069,108,824,131,733,136,214,367,874,719,749,851,997,153,880,282,861,912,200,
212,843,840,896,909,310,620,840,681,498,995,778,560,713,692,856,197,899,643,
212,654,803,201,389,260,736,890,053,067,530,119,180,143,072,056,127,597,245,
943,175,159,662,762,651,527,130,495,363,221,401,270,606,773,961,042,380,825,
313,812,408,586,271,255,869,964,861,250,170,765,841,557,809,266,911,078,966,
087,642,594,809,796,409,444,495,255,484,287,923,073,634,380,913,516,134,619,
322,519,303,299,955,205,270,693,794,807,841,691,614,063,078,805,883,376,289,
441,121,356,654,543,699,723,110,396,738,794,493,971,263,819,227,581,510,447,
190,849,431,893,065,177,899,146,240,946,282,120,903,150,481,620,975,754,524,
507,093,131,470,279,661,437,712,616,546,184,172,545,897,979,793,345,156,012,
712,890,667,303,942,700,808,077,874,854,674,017,239,681,998,243,042,292,956,
111,083,926,686,253,469,211,404,756,257,501,326,447,473,513,489,344,691,592,
793,417,293,614,681,686,018,531,955,277,539,178,612,754,495,559,840,859,540,
880,497,424,548,941,385,680,974,861,676,820,943,659,831,180,180,992,338,022,
061,551,376,254,733,789,976,712,782,305,118,249,760,315,665,190,180,351,628,
885,000,765,676,225,909,908,651,105,522,203,895,320,546,606,944,716,912,852,
841,971,054,788,088,529,896,061,442,118,181,971,077,085,139,510,564,093,696,
391,893,293,928,732,980,784,125,639,459,986,461,164,413,167,680,197,086,112,
493,482,656,839,436,650,297,891,575,804,158,811,824,457,713,192,817,873,373,
944,297,442,263,472,824,162,744,745,603,008,047,240,117,984,542,893,823,218,
810,568,733,810,167,572,005,954,931,779,288,275,121,462,709,027,910,934,896,
246,249,162,391,590,652,656,542,395,146,308,103,454,465,506,033,100,304,127,
910,156,929,818,001,617,528,614,622,426,693,504,192,983,048,817,893,099,064,
474,317,282,997,128,886,332,118,414,603,432,613,325,456,921,510,461,532,023,
365,543,426,260,482,901,880,678,322,375,448,272,429,084,744,930,887,066,557,
683,613,460,863,785,785,294,055,692,080,824,744,231,378,230,755,948,702,646,
690,754,434,341,420,730,879,461,939,181,287,837,965,484,613,984,624,369,810,
365,884,930,164,639,158,555,046,922,455,411,607,702,031,239,131,790,403,886,
905,009,777,868,920,505,390,772,923,867,557,579,658,961,808,488,217,047,926,
143,909,265,741,925,582,334,205,041,187,171,438,533,709,691,423,608,904,694,
322,986,917,122,651,774,161,959,644,292,259,960,888,790,179,614,579,166,604,
425,707,124,505,322,305,515,649,983,903,736,801,673,956,026,647,566,679,928,
992,139,451,975,323,379,185,780,632,489,154,178,810,787,189,942,523,878,419,
688,767,558,178,944,447,036,218,140,583,823,857,019,226,412,070,355,578,316,
388,074,535,678,350,827,876,298,000,293,894,782,111,647,708,519,197,139,989,
382,295,298,244,926,279,371,451,305,385,870,054,499,162,672,654,761,441,438,
640,887,531,209,352,102,148,203,134,727,144,458,669,993,850,188,825,185,371,
179,503,796,314,664,593,186,193,193,814,310,446,913,925,366,975,132,528,045,
173,274,632,695,648,608,583,380,736,572,921,705,743,087,087,945,980,755,962,
488,445,929,423,212,491,077,406,799,407,434,791,948,719,599,797,276,734,614,
761,152,999,121,676,382,975,531,158,282,075,901,681,996,867,879,730,195,332,
256,121,226,580,706,037,127,245,559,871,898,073,558,833,081,153,342,805,505,
150,960,103,055,459,990,753,572,985,366,201,021,403,338,819,836,943,055,201,
671,303,763,695,346,846,520,866,144,186,226,356,600,103,915,950,905,875,991,
576,344,284,888,625,449,602,022,333,900,998,674,344,393,706,591,891,834,251,
343,594,300,118,260,112,246,707,809,348,274,293,420,934,511,284,584,151,206,
517,722,136,446,984,805,644,560,096,313,802,805,175,466,265,853,146,589,251,
312,506,081,782,413,667,283,792,211,377,897,594,647,726,537,541,449,670,318,
006,899,692,179,513,906,971,873,909,726,778,179,410,842,233,831,241,776,539,
969,863,967,814,622,639,264,007,492,548,489,046,022,976,087,765,031,454,656,
366,662,278,024,923,184,428,581,339,519,825,478,733,774,622,853,869,005,283,
507,878,745,358,511,244,543,559,765,976,960,733,014,103,198,754,672,070,713,
509,357,039,174,780,432,111,673,918,439,705,329,121,776,093,017,431,130,821,
683,450,509,452,770,543,624,318,209,038,461,137,502,391,832,165,376,204,283,
107,898,072,388,067,723,914,266,947,610,107,987,357,554,662,325,119,870,496,
646,411,082,767,583,334,917,012,180,619,821,464,526,638,342,937,081,829,523,
115,081,966,435,496,172,167,306,904,829,070,850,955,735,062,840,005,494,389,
187,107,494,545,289,874,374,977,491,798,423,868,944,113,026,682,425,047,671,
912,970,408,621,773,699,060,084,504,451,911,371,710,634,380,285,836,353,383,
138,293,317,726,286,893,158,969,836,600,861,124,059,309,810,087,452,936,825,
166,172,483,604,122,047,486,042,207,454,430,430,109,110,097,823,439,540,526,
372,985,504,782,825,038,038,353,429,876,384,981,762,871,080,508,611,719,389,
179,533,275,951,932,549,634,457,801,069,906,673,356,023,655,873,182,465,522,
004,897,315,285,603,400,023,727,203,333,609,481,564,473,669,694,912,285,433,
128,068,480,914,241,505,694,794,007,465,052,588,574,176,779,234,740,156,930,
817,892,349,700,432,677,847,793,944,103,275,663,869,695,258,508,485,714,522,
770,027,718,277,979,937,557,125,219,807,203,734,546,693,773,661,046,980,509,
064,766,742,435,366,131,515,634,724,535,632,885,814,651,492,233,468,065,205,
067,322,729,450,989,056,386,770,776,957,699,773,373,726,883,076,508,555,986,
062,988,518,475,989,040,554,453,840,428,745,598,208,597,208,976,895,775,062,
851,654,820,811,297,927,393,902,020,726,831,218,317,706,150,820,781,820,018,
333,726,217,168,538,252,259,046,272,840,257,344,157,557,001,603,746,060,056,
171,374,580,683,008,535,088,233,215,577,661,624,922,653,066,229,017,455,366,
710,835,876,226,762,780,219,638,584,864,466,430,009,949,991,223,585,871,833,
064,393,347,702,804,097,828,951,400,482,260,187,404,279,918,359,158,250,813,
994,090,176,154,783,739,796,689,501,666,462,832,713,207,878,873,860,512,859,
520,769,320,534,276,171,611,659,006,449,664,301,193,758,497,906,078,498,981,
635,932,311,675,133,053,910,811,164,976,069,309,477,136,613,293,863,888,961,
038,248,136,579,729,076,194,844,004,487,719,033,165,167,941,510,983,169,877,
318,018,720,380,998,159,491,628,678,066,203,685,480,748,883,954,568,156,527,
195,026,697,298,311,289,393,805,323,312,892,365,138,011,687,670,520,255,178,
869,116,005,031,399,525,283,336,270,049,455,111,501,876,163,167,246,622,134,
064,599,770,256,778,510,030,441,804,303,567,141,093,921,082,803,821,579,004,
133,606,528,981,882,776,209,336,772,995,390,592,022,578,314,743,299,633,446,
508,503,334,222,173,419,911,920,430,445,399,228,859,785,898,772,931,040,317,
294,863,832,376,012,837,931,537,840,031,478,016,182,081,831,563,771,438,989,
957,555,024,863,076,458,622,651,551,737,054,986,569,399,246,935,435,598,203,
946,369,578,522,953,216,005,451,816,911,693,699,085,061,586,469,521,502,921,
401,743,412,326,267,411,657,636,488,425,818,255,799,888,628,658,659,599,362,
849,376,527,475,609,665,297,468,290,422,475,381,783,864,379,828,067,779,053,
475,488,018,001,422,782,866,384,272,647,851,347,730,449,339,806,555,792,478,
856,198,682,104,328,794,707,763,165,130,670,701,231,855,136,775,860,362,808,
127,776,947,948,401,407,172,479,292,101,432,770,965,929,900,806,102,042,783,
149,001,109,843,043,567,690,927,320,854,171,644,616,578,034,268,404,694,357,
170,612,731,031,425,145,130,567,248,508,704,094,668,382,734,496,583,493,312,
457,572,781,225,329,691,033,808,944,027,617,353,281,249,071,573,767,159,447,
887,345,238,788,738,025,646,764,099,278,835,075,614,333,576,117,028,681,043,
748,104,193,800,735,889,647,726,760,174,895,279,510,050,604,749,101,134,593,
509,788,249,625,192,512,995,054,641,258,212,610,208,166,875,045,164,672,657,
770,856,345,417,398,254,753,748,757,486,123,294,794,415,232,172,589,181,493,
124,125,282,531,171,955,608,143,804,862,643,723,178,277,351,880,827,204,296,
977,852,918,420,962,966,167,792,699,040,520,426,869,881,286,221,032,023,477,
892,246,494,819,774,885,610,356,462,679,837,338,731,166,940,659,108,153,714,
067,631,635,700,325,885,085,545,250,542,346,604,727,353,127,824,283,531,460,
762,671,391,236,404,179,207,872,294,655,784,818,959,777,306,866,715,650,366,
892,965,570,543,440,011,204,046,122,882,238,937,851,769,546,958,453,674,603,
315,377,904,513,615,169,506,122,254,912,086,459,754,389,231,263,605,831,234,
972,761,214,458,631,018,145,976,159,106,391,571,379,309,266,975,642,940,508,
706,757,961,126,602,050,737,196,490,341,011,745,581,065,811,828,824,594,980,
594,011,597,331,732,088,733,892,907,107,662,039,052,656,220,180,680,902,105,
752,280,194,063,845,650,495,115,311,195,421,102,626,986,550,645,264,751,883,
621,299,213,085,810,617,042,531,246,956,977,890,225,073,066,208,459,080,690,
596,931,417,880,202,779,538,586,964,585,026,576,992,625,772,349,313,526,093,
076,804,317,075,072,840,709,279,780,846,538,267,815,730,810,778,411,078,883,
003,184,384,125,586,685,290,410,884,380,265,178,452,504,479,949,921,387,783,
303,245,444,727,433,877,647,504,216,270,397,508,899,795,853,334,939,846,098,
980,398,519,025,525,908,696,036,353,237,759,338,613,075,211,003,174,676,201,
905,702,239,637,839,717,772,686,747,067,522,519,317,623,695,666,064,831,637,
494,735,006,566,774,441,480,790,168,925,734,323,231,799,647,276,538,742,369,
256,003,002,966,198,337,765,812,454,346,418,673,675,051,461,644,340,407,099,
086,885,536,310,778,117,826,445,599,198,356,908,957,940,485,784,319,168,451,
074,231,967,988,519,939,488,672,789,230,110,441,243,591,932,389,494,204,682,
755,427,805,655,312,170,440,679,347,887,794,506,453,520,928,314,753,164,102,
252,876,714,141,277,808,968,788,750,741,656,444,413,574,452,128,269,080,439,
887,082,182,805,282,751,444,494,786,895,012,471,564,335,152,307,523,538,742,
995,593,390,339,230,828,330,490,772,104,699,279,696,545,540,105,141,355,872,
224,864,309,905,659,852,067,381,858,513,618,837,791,942,256,077,630,523,428,
068,703,534,349,984,463,694,246,589,055,081,465,977,277,878,608,895,173,813,
735,550,674,743,407,581,148,017,500,048,919,715,460,247,721,091,172,373,444,
424,908,765,127,246,489,683,905,746,900,650,097,983,588,065,555,586,623,915,
196,270,456,778,267,706,628,974,707,396,079,437,928,058,142,848,984,342,254,
807,149,853,193,033,750,688,613,923,832,514,985,847,419,018,744,098,474,782,
589,427,786,035,176,722,000,012,493,348,845,103,839,809,487,951,090,192,063,
194,639,455,506,732,853,029,626,969,079,571,986,558,829,929,179,350,915,562,
097,276,616,150,248,546,169,861,878,116,334,396,627,850,731,104,148,290,440,
911,995,742,613,583,110,967,803,171,333,249,512,545,176,481,487,002,812,747,
252,947,746,383,350,121,533,183,751,665,681,430,261,745,467,097,726,067,245,
186,583,042,952,767,012,399,276,508,354,056,929,478,920,897,246,501,380,304,
237,846,472,852,558,367,425,795,876,261,516,639,304,580,793,724,922,861,844,
725,561,181,860,823,826,012,167,414,956,319,637,093,139,859,378,924,537,978,
407,579,499,700,212,630,592,304,894,261,347,009,478,257,637,543,828,253,875,
289,540,932,028,031,567,484,553,993,794,912,757,426,215,736,030,121,574,633,
079,453,511,248,417,798,978,385,406,155,632,077,038,385,684,227,606,166,433,
617,789,874,321,179,998,131,957,567,871,586,714,601,411,981,772,924,875,193,
065,324,814,304,572,342,610,761,147,628,868,084,295,339,311,954,745,042,230,
643,537,183,518,249,805,649,066,185,714,166,591,114,696,003,482,554,966,786,
513,350,500,756,528,568,175,017,072,842,778,515,581,849,923,275,056,576,949,
623,801,281,465,139,417,641,828,688,161,289,699,354,471,434,136,588,994,326,
628,837,239,084,645,889,008,543,163,211,620,094,657,593,836,580,007,709,487,
660,737,573,660,255,951,601,178,338,900,357,552,738,814,027,291,423,660,845,
908,474,749,673,247,391,206,980,997,849,581,015,639,030,201,546,762,129,529,
558,632,398,322,453,960,288,050,450,506,419,285,832,670,553,959,295,017,043,
701,235,560,172,753,334,668,948,098,619,662,795,092,274,194,778,259,775,842,
975,356,275,547,172,005,645,580,855,943,370,518,367,406,819,780,699,298,254,
903,631,486,046,605,753,524,663,454,030,887,977,892,100,527,232,110,219,674,
446,059,645,644,982,817,822,548,584,481,989,184,364,992,826,782,393,685,322,
256,667,745,504,539,731,035,217,667,271,856,180,047,884,198,042,971,404,827,
892,690,668,191,326,379,462,705,774,133,647,162,975,320,809,179,034,753,044,
580,514,698,853,311,346,716,165,535,973,313,934,234,795,873,391,406,259,613,
982,431,220,633,213,140,741,255,060,559,074,404,415,243,642,745,958,158,902,
147,104,584,665,360,920,041,063,595,520,939,083,045,020,400,991,023,437,862,
923,988,091,065,069,480,379,023,637,528,933,429,621,319,872,461,550,505,990,
312,455,191,161,046,304,658,531,258,624,206,039,752,231,842,540,552,609,147,
340,648,687,371,936,163,034,358,831,232,939,491,797,624,830,098,652,806,514,
415,111,672,043,709,670,652,386,634,483,356,522,054,342,812,203,973,661,011,
466,662,856,416,853,055,031,550,912,787,945,171,107,868,473,117,500,684,390,
674,064,983,857,372,371,447,387,670,722,197,819,682,856,997,238,643,979,990,
278,951,838,683,646,114,447,541,762,047,453,262,131,761,649,698,097,128,361,
482,025,093,649,570,694,881,358,914,369,190,966,930,276,176,511,137,215,562,
591,522,011,945,288,564,936,788,868,724,083,050,168,412,189,414,469,510,364,
159,276,819,854,172,506,860,980,105,363,870,129,605,405,451,987,761,530,499,
836,368,079,677,917,798,024,485,025,144,171,643,106,528,461,033,205,416,359,
239,193,489,916,531,626,834,799,040,438,797,283,350,641,684,162,042,004,287,
629,348,322,431,630,320,149,665,038,621,621,757,045,955,980,235,347,317,663,
739,337,685,105,944,953,971,405,134,322,117,906,777,664,175,780,928,586,507,
437,241,865,101,531,565,609,447,162,971,095,648,510,816,645,741,388,405,191,
811,048,828,839,189,777,547,848,973,029,151,580,619,789,537,125,438,113,003,
665,934,932,178,677,498,873,769,528,064,496,002,801,399,342,054,462,699,263,
993,828,315,697,999,411,153,942,995,934,524,427,634,851,739,241,464,945,933,
921,725,195,739,236,287,284,868,441,574,573,312,690,617,534,092,244,718,130,
053,947,328,908,245,196,015,923,398,423,474,657,591,314,628,970,555,661,814,
094,807,897,558,650,207,580,957,011,584,527,138,012,693,868,031,773,651,771,
386,316,780,469,781,082,615,206,192,519,473,588,824,722,258,080,235,488,558,
174,902,819,781,210,102,542,324,405,263,916,326,868,097,053,921,549,990,431,
392,098,821,140,190,448,450,434,240,134,425,862,961,551,647,026,483,014,730,
290,534,682,459,037,175,352,834,347,335,371,017,407,880,977,628,317,966,076,
305,156,625,820,257,012,479,465,616,423,992,424,557,619,194,408,212,154,545,
830,236,890,607,997,273,608,658,925,436,622,739,153,726,753,310,826,415,978,
537,273,413,529,945,038,477,707,949,404,182,070,382,909,066,567,855,046,454,
609,949,189,614,652,815,613,354,788,540,620,836,673,439,402,241,409,779,624,
146,019,832,782,046,091,581,280,737,900,818,499,868,905,793,529,159,420,649,
680,095,931,346,993,701,293,717,903,994,842,449,227,569,551,654,364,389,361,
932,894,685,741,417,281,864,744,255,316,319,338,577,658,239,580,028,832,889,
024,828,650,216,587,008,795,506,592,321,551,893,267,384,902,369,172,169,062,
724,892,231,231,909,557,773,258,009,535,302,286,956,421,310,670,650,033,263,
710,262,314,497,656,021,748,397,429,250,168,036,315,964,827,699,705,210,466,
796,902,018,856,016,340,226,696,461,515,780,831,821,357,472,533,433,211,117,
576,296,350,523,127,891,166,833,272,412,412,595,630,858,634,081,391,939,444,
191,648,333,114,352,417,904,816,014,835,381,478,466,465,252,909,503,617,274,
469,949,938,235,876,454,412,205,879,431,774,036,855,778,141,597,663,233,305,
805,415,874,986,569,611,929,674,388,580,013,304,253,452,634,409,749,139,977,
045,112,355,757,219,543,722,294,543,393,602,816,887,013,669,246,773,133,835,
574,381,285,701,941,762,331,435,087,384,499,729,596,490,294,024,192,939,041,
068,069,458,086,703,741,719,620,667,780,501,883,932,100,051,089,860,219,988,
283,601,024,209,069,398,774,212,259,874,730,099,190,214,965,737,901,806,747,
324,384,237,562,318,380,057,621,846,499,331,003,155,367,946,308,167,206,183,
805,225,141,734,499,860,195,888,740,141,500,146,629,105,773,079,097,947,375,
249,593,935,102,712,642,924,609,124,531,832,887,033,849,465,307,955,964,109,
255,203,571,672,133,959,689,583,475,672,939,293,397,052,545,860,548,200,910,
890,652,602,828,075,448,363,066,589,071,288,234,718,222,171,800,167,503,456,
847,093,511,703,071,367,859,362,644,388,963,570,047,616,982,236,031,143,469,
782,576,227,309,794,885,722,801,740,173,022,842,378,211,197,392,034,885,123,
988,864,185,642,335,651,794,130,586,584,099,853,995,706,499,323,707,802,984,
820,810,725,719,874,180,761,364,169,078,404,141,766,655,549,331,076,690,759,
429,768,908,373,341,855,052,631,459,638,958,606,612,478,766,338,528,756,287,
360,802,067,431,294,676,481,632,395,109,195,523,609,119,940,529,875,801,956,
981,532,698,875,170,962,378,737,989,270,415,809,402,975,943,591,102,300,730,
908,299,883,767,152,834,682,100,690,611,108,257,414,964,941,971,064,550,850,
063,105,883,972,470,322,815,499,542,596,492,444,546,897,793,714,935,507,222,
668,283,247,926,235,940,138,702,575,809,536,528,107,440,763,430,793,507,916,
400,507,347,369,628,391,526,189,949,617,294,444,314,140,592,617,787,099,253,
258,329,646,443,200,194,913,385,916,017,047,913,125,204,272,738,833,521,399,
005,397,119,672,161,147,999,157,333,315,884,284,370,496,402,448,418,169,731,
387,974,772,230,740,653,448,057,318,631,947,450,138,383,735,024,717,277,598,
662,257,491,846,105,293,356,849,270,888,973,842,011,889,392,681,356,737,707,
349,142,767,427,158,813,658,344,051,080,740,476,017,912,069,861,862,009,042,
566,147,360,581,366,116,566,367,310,099,087,766,962,092,109,193,182,625,896,
154,650,018,678,685,239,570,202,528,999,246,931,141,112,445,144,311,947,646,
445,745,346,395,981,905,266,661,238,731,101,074,264,624,685,867,043,651,031,
706,767,543,796,322,734,296,014,329,357,627,164,313,822,725,306,586,104,568,
821,326,733,428,845,236,842,798,524,906,651,939,612,418,770,017,973,714,310,
149,910,047,682,191,382,761,521,797,187,250,075,998,187,221,712,650,609,716,
417,141,159,244,458,439,516,004,502,294,073,721,173,766,745,389,692,612,111,
121,345,736,044,117,237,161,046,193,878,417,901,434,578,105,194,977,764,343,
524,626,531,746,496,545,717,986,802,400,512,799,055,839,753,382,998,704,448,
702,921,196,867,962,074,697,931,618,165,991,830,556,448,402,751,008,732,842,
945,129,539,884,515,426,865,533,008,263,675,327,920,592,760,065,540,209,249,
256,395,670,388,717,843,458,308,727,688,094,717,469,177,581,798,699,003,723,
229,092,410,196,029,412,880,672,420,699,585,391,054,831,562,215,991,526,123,
114,532,265,245,424,231,359,485,359,298,938,043,641,244,189,084,460,079,065,
116,842,053,453,657,598,369,182,599,510,194,612,072,968,406,166,965,099,338,
362,867,692,073,963,494,488,904,654,177,988,354,842,471,406,157,834,489,684,
685,398,665,432,166,148,459,944,746,791,440,497,880,608,702,738,494,067,083,
535,272,942,448,555,446,201,374,458,921,299,673,152,594,220,214,227,600,539,
888,898,266,506,866,947,235,110,411,787,778,114,757,250,590,592,096,292,490,
825,416,195,566,508,259,667,035,146,768,951,604,116,180,659,232,901,593,214,
255,535,030,116,379,510,649,550,216,710,759,714,350,057,086,324,398,613,107,
439,927,587,113,691,315,863,560,705,479,523,690,817,479,855,685,496,133,000,
863,344,286,459,390,149,557,040,980,527,571,997,117,481,660,663,799,689,288,
860,899,681,072,661,851,851,029,806,351,760,250,994,059,763,728,685,544,871,
037,778,490,376,407,716,486,273,838,950,805,566,874,506,288,102,924,407,357,
220,112,146,758,952,527,093,678,427,184,133,644,331,216,184,082,947,104,582,
324,747,442,005,083,828,772,295,080,547,414,597,233,935,588,323,924,931,063,
749,804,942,393,602,153,761,865,066,729,720,361,122,704,004,420,747,566,922,
133,876,729,731,907,757,403,699,808,449,503,860,015,765,390,844,700,068,479,
712,174,966,068,708,395,411,733,459,810,361,831,151,384,464,851,915,745,260,
260,017,963,257,807,323,428,025,596,014,793,520,800,116,316,814,009,484,115,
345,360,653,243,543,973,535,501,357,401,986,149,417,282,700,422,533,891,513,
440,195,255,713,976,808,122,044,371,083,516,858,726,022,038,191,879,878,615,
825,345,943,782,433,313,905,232,828,696,845,700,165,674,093,631,247,334,972,
276,110,537,017,591,070,788,998,653,386,698,210,091,666,324,032,019,836,835,
137,473,458,199,956,525,920,352,515,949,189,598,089,407,819,209,564,446,751,
120,253,981,512,130,177,531,593,631,060,117,291,151,930,250,541,493,562,952,
702,067,715,884,678,226,684,488,028,928,178,242,895,331,933,227,038,659,881,
030,757,060,857,108,104,986,208,144,268,457,589,068,050,641,930,771,899,038,
677,903,590,104,567,886,756,013,858,328,034,408,011,069,010,055,763,579,753,
830,279,585,611,730,841,611,599,301,059,677,271,182,891,881,868,990,703,342,
775,602,223,711,897,007,990,854,617,965,045,923,065,601,655,981,935,504,161,
916,544,445,834,286,097,584,214,028,897,234,837,645,655,868,501,276,921,083,
233,011,400,246,189,344,997,059,376,344,086,354,064,971,696,698,107,312,057,
238,843,847,335,454,524,909,685,499,830,302,813,555,875,763,890,385,016,122,
654,395,415,485,675,671,938,724,517,461,985,014,548,646,443,466,680,872,603,
696,928,019,651,006,937,107,216,146,243,294,993,155,463,141,600,382,330,865,
701,031,688,470,312,080,667,096,563,247,522,053,911,603,307,350,508,050,060,
789,139,679,270,185,666,991,394,721,902,631,990,684,085,775,593,337,223,379,
948,526,610,331,796,086,502,466,765,537,287,946,653,261,176,235,827,565,181,
452,566,546,887,863,618,942,750,227,871,635,354,587,643,903,581,947,316,589,
549,997,973,816,961,499,989,617,101,921,408,955,620,973,888,199,336,608,416,
232,703,211,520,977,350,928,092,349,890,693,420,302,126,508,876,440,334,125,
600,518,269,873,885,176,186,291,056,939,652,089,682,782,967,329,118,412,199,
209,298,554,370,488,666,030,659,274,712,156,541,597,068,530,009,131,762,024,
082,918,737,978,476,394,978,658,305,884,828,084,550,256,713,606,687,958,735,
160,129,882,281,774,040,537,783,044,985,039,707,812,547,952,849,363,850,595,
689,184,057,849,101,538,980,954,444,881,709,587,933,330,462,541,712,468,141,
277,933,235,145,027,646,425,840,278,950,685,191,101,803,856,109,878,991,334,
947,864,828,295,899,939,592,464,861,307,581,933,760,857,983,340,611,847,243,
915,816,331,404,879,609,708,007,224,654,939,996,784,067,330,117,197,661,185,
388,862,223,169,334,135,370,247,932,738,857,913,294,431,468,705,442,706,230,
785,966,767,518,919,558,169,410,708,261,882,465,418,062,763,804,274,486,220,
448,945,314,331,803,203,753,164,497,995,702,233,395,568,937,039,653,715,690,
693,559,626,908,442,962,321,562,953,820,070,399,224,928,152,217,040,856,116,
569,085,897,963,163,810,247,003,942,024,194,778,903,067,600,713,927,122,729,
764,151,239,706,111,331,227,860,251,133,373,102,077,846,943,097,786,789,373,
847,362,963,973,458,456,445,260,399,337,440,398,768,733,145,648,318,802,534,
493,540,042,319,558,512,191,061,037,093,874,008,849,062,162,086,398,269,818,
972,869,969,164,720,278,394,317,019,298,994,017,927,465,715,315,505,801,227,
374,306,826,159,291,027,788,719,611,514,763,370,033,163,053,036,239,295,238,
608,299,152,116,920,665,057,080,405,886,997,994,955,139,690,351,807,131,083,
725,727,105,350,056,610,442,471,935,545,113,244,512,385,389,896,894,552,015,
460,750,993,191,543,825,041,468,031,262,267,903,501,032,806,002,900,811,421,
479,961,727,503,909,663,005,471,283,144,364,777,646,876,656,222,930,772,273,
768,519,269,639,936,780,589,515,091,919,333,886,821,194,707,412,478,047,923,
324,059,202,006,766,208,901,309,849,059,341,118,981,263,830,366,179,020,304,
204,453,563,190,354,173,384,156,142,502,409,584,879,905,699,171,249,114,419,
475,332,537,747,577,629,101,345,905,997,613,497,871,741,347,771,473,607,492,
565,455,218,695,777,712,868,243,767,175,323,577,536,736,643,721,613,837,473,
942,897,578,117,344,902,576,217,462,441,840,905,507,550,472,359,989,380,647,
137,018,639,768,660,902,624,155,680,961,164,803,203,806,605,886,664,400,802,
816,872,381,144,309,792,915,180,651,542,180,656,769,907,597,904,877,770,421,
140,320,519,532,207,847,914,216,679,995,241,861,058,157,016,427,077,860,830,
131,707,970,135,440,131,213,740,168,765,624,312,529,016,684,034,924,624,699,
449,139,892,050,616,957,833,078,429,307,516,014,724,353,505,557,544,339,113,
819,145,024,972,723,712,733,603,957,915,942,941,294,208,698,534,845,166,277,
373,764,459,105,631,844,171,091,959,056,246,744,290,785,021,481,033,387,259,
028,107,797,464,011,071,483,054,999,204,308,050,242,026,436,985,581,436,133,
236,208,431,372,194,306,997,037,838,403,597,019,986,826,529,738,707,494,048,
550,930,732,490,905,631,044,315,280,262,208,676,604,086,068,940,417,784,781,
969,396,091,730,762,351,515,626,033,714,509,575,957,166,639,877,963,098,607,
970,398,873,899,288,304,198,352,496,094,521,240,751,105,092,763,973,739,474,
890,925,213,184,116,139,692,642,897,042,374,616,064,155,169,979,865,224,774,
038,054,591,076,945,526,034,625,564,542,957,151,684,130,810,846,096,246,309,
205,290,755,050,977,807,674,302,017,773,673,047,267,410,283,555,672,479,324,
545,587,120,020,796,920,191,027,298,396,074,768,843,993,992,457,294,776,522,
111,569,074,968,867,433,441,813,966,602,607,445,240,744,507,737,591,894,622,
867,675,532,000,628,056,921,325,836,973,116,003,244,975,883,144,116,751,725,
089,634,862,386,250,408,973,576,008,958,719,685,585,662,560,626,489,389,565,
359,996,828,152,618,154,610,922,824,881,374,136,310,657,474,854,635,185,314,
079,292,328,205,732,547,370,106,609,731,544,579,942,612,431,282,180,398,662,
304,646,421,678,102,011,868,457,813,549,857,988,270,769,483,649,249,446,076,
021,692,233,695,177,390,025,738,354,311,770,495,465,402,678,665,577,861,635,
119,627,453,906,920,911,972,159,923,973,190,065,548,651,052,978,694,730,413,
873,329,105,954,793,005,737,353,419,364,261,232,159,230,793,290,279,408,368,
252,196,043,771,763,197,087,721,063,505,952,536,125,790,870,604,421,601,750,
776,668,483,452,999,590,842,063,552,324,081,742,944,983,740,635,344,977,670,
699,155,379,311,051,730,593,660,077,051,895,694,497,733,625,271,060,805,151,
039,920,638,535,996,973,623,720,761,763,429,401,672,011,750,939,351,964,660,
218,696,056,259,139,350,094,188,206,989,526,407,670,495,165,950,704,035,436,
288,304,549,969,360,830,976,603,022,144,824,116,826,871,346,929,698,909,923,
785,878,834,449,836,717,283,792,344,247,972,544,655,387,365,768,507,851,300,
034,789,743,362,337,482,705,267,218,898,440,805,849,710,587,942,901,790,779,
526,295,766,100,200,546,890,809,495,036,489,496,235,211,141,045,909,454,376,
130,269,519,688,258,335,289,661,827,297,984,783,302,968,323,501,356,611,988,
889,594,021,891,014,811,176,409,597,160,796,062,862,090,002,253,499,591,309,
667,732,716,077,254,699,016,310,904,272,377,203,963,612,738,905,140,697,312,
340,407,074,391,126,842,153,620,377,720,708,578,959,944,365,929,839,907,683,
343,649,005,276,117,424,985,905,823,428,556,039,339,103,937,288,813,076,621,
142,931,324,274,273,298,824,004,605,532,704,293,487,435,786,541,124,775,377,
270,287,012,811,956,972,781,084,002,460,415,873,108,556,326,576,888,606,227,
593,386,131,309,706,723,782,501,295,558,784,614,711,507,904,773,294,399,730,
272,553,302,020,417,854,313,467,764,939,251,315,887,055,938,834,207,366,866,
449,105,421,691,550,273,430,745,208,713,126,037,399,038,435,354,048,180,922,
263,887,292,119,765,243,907,842,015,599,804,604,269,287,676,267,186,462,026,
937,087,195,022,963,277,713,019,064,773,832,375,158,672,330,819,609,263,261,
246,761,304,740,034,748,105,795,510,578,077,924,797,261,205,320,667,923,951,
121,586,515,924,667,393,131,341,802,342,030,841,857,200,308,069,308,773,848,
488,444,908,384,652,899,058,422,875,514,923,496,743,215,998,352,638,898,558,
474,322,166,354,863,529,612,561,902,441,454,874,952,856,610,540,601,305,768,
274,449,039,262,258,984,929,166,059,966,084,951,442,645,878,883,042,335,250,
865,984,344,556,144,511,339,506,709,657,025,143,216,911,332,442,083,460,479,
284,244,456,431,736,691,466,793,466,221,484,588,129,690,067,609,714,071,108,
422,467,259,605,568,741,228,256,768,796,885,652,475,015,400,744,235,270,946,
399,889,858,465,811,002,320,823,968,376,925,577,246,294,284,415,631,860,732,
337,336,322,096,194,119,398,007,315,361,404,892,158,268,751,074,416,040,313,
070,625,723,577,516,015,983,206,690,923,083,097,754,459,502,550,453,236,034,
306,269,606,925,515,313,533,870,698,345,056,898,445,095,477,980,428,354,894,
629,034,799,791,812,247,148,467,750,093,413,024,038,334,683,367,902,157,316,
670,053,619,424,805,371,334,792,916,577,781,433,409,550,280,965,635,798,314,
893,487,821,742,461,098,867,282,403,945,879,461,515,860,664,713,863,053,529,
305,312,625,519,617,426,989,170,620,261,104,951,553,373,299,615,665,765,362,
241,025,905,300,376,247,506,575,797,264,258,024,737,233,974,253,253,634,948,
915,371,196,586,107,463,894,416,793,199,942,532,599,602,817,940,015,339,338,
770,921,231,902,593,831,628,844,930,169,303,724,956,527,296,916,753,507,133,
101,889,194,383,724,212,849,379,721,446,571,289,966,597,868,845,054,997,442,
591,996,778,700,242,834,388,987,163,121,256,203,075,975,338,373,135,540,242,
407,001,844,847,072,864,507,075,214,227,433,750,578,267,583,202,563,505,374,
518,339,129,090,359,696,475,376,569,029,566,998,285,709,763,283,558,792,036,
688,312,707,008,840,432,835,080,116,452,545,655,071,906,535,914,755,311,653,
729,290,650,733,855,290,566,215,451,696,233,032,865,181,506,043,279,451,570,
117,270,062,466,962,352,910,286,233,246,033,126,864,347,482,733,756,665,707,
356,044,213,918,161,341,921,996,167,497,238,472,229,125,639,939,342,332,829,
433,598,017,841,153,831,457,792,468,634,849,206,006,512,373,089,824,258,538,
920,560,605,802,993,686,276,259,595,661,369,433,303,947,406,095,303,580,746,
475,663,833,136,251,574,247,368,507,698,669,339,315,746,082,791,312,403,584,
893,718,564,238,354,412,267,573,004,454,900,398,485,593,108,074,190,028,894,
626,846,519,211,959,119,405,004,613,747,006,798,496,421,504,615,702,924,223,
343,565,183,141,105,406,995,571,030,880,528,152,419,159,440,692,581,416,367,
467,795,448,789,197,021,554,128,111,665,660,714,885,156,488,500,830,972,013,
855,319,907,721,896,223,321,286,363,503,575,662,010,176,259,976,379,846,996,
002,088,221,138,685,344,615,645,013,465,525,448,789,267,525,175,245,126,843,
361,250,360,698,334,830,949,735,869,440,588,658,032,826,592,265,793,999,643,
888,660,341,385,038,878,643,061,127,152,548,878,935,838,474,375,089,947,173,
400,385,682,730,172,697,352,243,898,449,672,559,423,113,586,737,506,421,990,
558,355,706,348,453,658,560,253,357,401,846,442,111,231,823,246,274,016,962,
008,153,333,349,748,946,928,741,959,412,802,729,864,251,083,372,222,163,584,
951,555,434,616,062,008,849,203,094,351,973,927,315,642,967,974,645,824,146,
940,475,840,078,171,354,800,157,254,854,443,483,202,879,524,401,534,968,926,
300,228,708,471,055,329,041,438,969,071,861,785,869,255,053,463,305,054,988,
312,147,890,241,231,559,165,462,966,213,593,200,972,227,057,246,952,587,829,
658,498,360,254,496,647,912,265,206,652,090,875,127,947,436,591,201,975,005,
640,675,890,776,799,612,434,725,329,331,140,318,842,961,445,530,362,992,214,
941,971,175,574,358,785,784,005,999,606,249,271,668,944,486,820,277,473,455,
632,493,980,808,675,790,492,522,841,966,452,667,035,396,801,473,806,602,553,
351,343,589,885,312,314,432,844,478,683,141,705,341,613,205,053,791,461,359,
163,363,253,226,086,552,060,309,872,713,528,738,441,755,936,353,705,906,529,
622,775,334,805,765,826,731,726,005,840,293,869,769,646,808,985,943,315,767,
889,017,867,941,343,236,901,241,761,796,038,371,345,929,220,907,982,680,215,
310,628,757,060,070,303,162,923,151,122,669,592,468,804,422,151,994,295,988,
985,736,241,447,945,806,034,764,935,610,435,512,051,763,063,451,331,009,430,
766,327,470,660,539,921,144,334,415,612,674,784,809,692,913,155,894,050,227,
091,043,794,814,145,568,957,348,407,379,221,957,001,941,017,465,828,401,596,
437,499,953,303,358,675,633,261,642,789,495,260,509,030,583,418,148,595,066,
225,870,083,539,785,936,290,428,660,905,087,098,829,996,502,482,989,986,527,
506,998,874,516,496,824,043,177,796,187,654,717,952,375,697,587,141,833,253,
282,662,370,497,274,736,262,426,426,492,663,198,581,809,604,372,230,201,069,
188,088,457,273,780,976,767,849,532,510,279,423,260,595,762,672,276,405,901,
042,300,784,185,731,260,828,840,379,849,463,252,498,884,476,404,105,677,577,
996,226,067,323,989,130,514,076,866,624,727,480,431,175,854,939,862,337,767,
958,504,622,112,969,217,885,942,363,041,259,685,225,331,360,109,859,791,152,
906,629,383,009,935,188,528,901,144,337,392,702,476,261,442,569,442,070,120,
016,650,431,553,750,058,384,126,383,497,363,609,135,582,506,164,789,220,098,
379,352,032,223,716,740,332,790,714,315,628,868,561,636,676,417,073,361,572,
088,903,922,724,921,203,241,262,698,055,652,251,479,748,827,414,871,730,296,
452,487,640,579,203,244,801,659,683,800,684,985,531,335,275,059,928,783,830,
155,460,863,016,475,296,566,723,813,400,225,642,625,446,311,315,829,777,425,
736,555,515,709,417,768,406,450,159,054,122,797,959,589,053,008,925,979,678,
789,248,344,155,131,073,308,385,899,971,058,700,548,833,787,477,748,733,330,
903,040,798,031,123,309,744,684,257,077,925,949,274,610,834,555,700,718,616,
121,679,911,097,837,243,435,332,937,942,606,293,093,074,590,198,350,770,544,
087,741,393,363,768,958,899,444,971,816,019,551,067,094,862,904,700,639,184,
584,419,924,281,588,617,186,694,582,755,956,424,865,072,934,209,798,535,327,
688,329,606,350,696,140,831,447,226,375,126,135,501,666,803,598,838,117,326,
578,602,702,084,557,450,611,802,918,983,925,333,423,833,977,012,380,582,856,
405,918,655,428,088,619,155,265,211,237,502,298,083,430,245,121,808,317,332,
656,223,722,589,412,225,023,667,413,761,138,251,136,580,752,326,175,974,008,
802,494,601,482,249,559,689,667,962,396,529,186,297,890,102,337,007,951,399,
093,093,073,675,899,245,091,281,245,048,909,964,807,873,913,321,118,381,020,
222,492,018,607,133,787,945,277,493,868,805,625,368,353,203,826,463,230,293,
392,465,560,674,901,273,701,146,908,554,999,529,759,616,045,160,865,616,878,
051,923,055,582,262,214,318,855,183,773,550,720,166,718,846,918,216,828,971,
149,581,433,985,629,571,444,891,257,398,039,377,946,854,874,095,061,562,369,
186,076,833,682,659,319,422,179,018,394,314,191,021,539,894,917,464,921,984,
862,304,766,621,527,483,905,967,111,275,975,540,111,635,818,634,140,540,083,
185,283,544,495,561,035,773,654,794,564,692,696,957,851,373,327,908,590,300,
812,073,958,782,460,240,742,874,793,400,776,826,168,170,542,980,393,808,148,
488,194,108,326,436,161,267,718,526,036,773,556,409,054,592,056,179,644,594,
430,400,540,159,717,433,527,559,220,412,665,279,292,916,311,963,440,110,991,
367,331,463,163,155,292,313,732,965,087,477,613,907,299,281,435,359,758,415,
844,557,231,560,665,596,513,103,064,966,135,430,476,080,575,364,926,062,972,
074,758,721,776,535,829,634,619,780,772,493,855,411,586,833,259,331,956,704,
211,259,079,416,383,862,863,521,014,341,705,155,013,065,605,071,007,895,214,
792,389,018,122,912,585,557,127,744,735,264,005,808,922,958,785,072,813,453,
716,134,223,521,924,669,844,432,921,193,657,263,911,633,594,368,095,497,563,
325,290,745,697,518,405,296,958,394,466,771,966,357,664,691,224,389,342,270,
440,964,544,200,101,294,334,700,380,183,288,766,958,854,476,881,073,897,624,
304,415,216,532,418,036,570,947,993,322,830,689,189,852,765,500,578,719,554,
615,970,030,551,824,277,943,086,737,034,922,175,996,222,707,827,003,483,552,
418,418,524,393,312,213,288,886,814,532,145,300,955,007,197,638,475,852,142,
643,239,341,628,535,813,211,327,956,544,832,493,772,076,188,717,314,921,948,
134,980,458,652,528,502,972,395,637,022,382,663,789,853,447,083,386,789,983,
570,496,258,581,055,133,940,164,310,943,550,446,173,026,180,257,498,355,837,
115,428,321,124,177,431,527,645,981,442,874,436,229,639,584,347,609,583,311,
668,454,442,769,789,987,810,331,711,204,089,488,881,553,350,976,720,982,255,
999,426,931,008,771,751,663,693,526,189,780,278,887,364,273,258,395,559,536,
257,894,062,404,706,705,901,820,069,617,540,440,891,551,492,422,148,620,086,
825,889,206,794,286,237,435,298,926,803,610,470,774,403,784,824,287,961,218,
073,635,358,303,766,373,702,145,742,431,832,697,290,100,041,872,837,104,230,
593,076,071,759,084,189,614,072,998,504,721,637,743,370,350,253,238,810,252,
244,692,736,760,317,103,994,404,612,293,357,289,511,716,115,559,401,759,145,
574,357,368,227,085,164,058,318,289,378,169,197,187,890,335,134,408,073,099,
154,685,925,330,242,224,665,336,778,720,530,321,363,447,267,897,949,389,969,
367,724,505,640,042,008,165,404,220,003,400,468,537,342,805,854,278,912,818,
852,349,127,256,660,688,517,017,271,847,134,854,472,306,199,972,743,819,284,
082,079,088,101,086,640,807,375,089,425,367,990,896,137,251,163,470,400,688,
082,884,435,614,811,611,916,143,674,385,635,698,860,472,025,958,467,581,720,
630,617,926,046,231,085,011,383,043,298,792,448,058,184,887,431,185,157,848,
664,823,352,467,016,202,386,491,292,712,599,672,439,463,643,786,274,659,769,
262,697,094,639,279,031,483,885,241,213,492,034,858,821,671,031,770,032,945,
040,191,559,650,606,845,129,512,188,679,052,221,886,166,373,341,621,300,555,
477,849,441,147,510,645,481,651,159,865,220,914,053,273,119,569,757,890,048,
904,181,451,307,856,708,410,923,900,636,060,825,594,974,661,576,601,894,605,
191,390,948,558,735,340,281,847,835,537,371,927,369,309,160,047,780,286,260,
332,876,106,252,689,821,551,723,377,297,305,116,729,051,153,341,087,122,821,
552,166,180,192,784,681,048,096,485,117,192,549,232,646,065,761,328,828,559,
613,967,048,808,901,967,414,704,430,831,425,129,745,759,916,781,462,104,450,
889,114,808,096,003,539,268,988,008,408,412,696,130,868,150,583,918,855,733,
389,436,894,566,483,294,206,515,768,735,203,313,654,246,927,605,696,069,548,
976,889,829,631,810,913,577,188,604,241,005,879,861,989,255,908,598,575,430,
967,188,799,278,886,409,228,908,622,991,796,270,428,519,320,974,052,545,322,
904,928,594,014,682,470,955,730,658,912,696,909,391,257,880,865,376,507,071,
162,705,319,640,242,665,014,348,444,208,968,819,965,443,987,823,717,241,378,
774,543,241,614,164,150,132,921,903,937,400,825,192,552,466,495,827,258,471,
968,919,899,733,137,919,867,937,808,516,004,952,582,998,677,991,258,268,001,
414,784,601,539,663,644,708,463,441,090,931,082,573,907,341,490,857,872,224,
011,458,136,539,628,267,728,640,861,603,203,612,693,128,038,283,890,053,119,
775,641,051,790,909,054,544,089,011,182,887,694,054,110,170,714,110,662,759,
914,476,826,526,912,157,831,887,433,681,196,881,567,949,667,907,833,894,842,
224,841,888,706,619,033,769,381,010,458,543,953,975,193,533,886,127,774,638,
025,963,611,825,282,371,631,934,709,069,738,447,304,644,953,946,350,951,839,
611,382,964,407,740,092,341,276,095,252,470,627,634,868,524,545,265,429,913,
652,110,731,794,989,804,430,057,324,972,726,088,135,390,706,941,473,481,787,
547,600,575,679,531,686,425,972,831,975,725,798,280,467,766,950,414,478,725,
460,094,086,171,478,233,040,973,264,031,390,035,427,893,139,832,474,088,532,
207,919,984,807,176,881,093,275,449,469,743,153,830,569,256,308,412,574,580,
286,114,490,323,773,137,582,524,386,280,663,545,141,062,748,751,526,944,937,
683,458,076,699,067,558,367,002,987,166,078,108,286,356,397,436,138,833,188,
897,605,856,316,204,426,746,034,322,254,258,993,788,134,265,725,762,682,908,
030,317,787,900,919,380,776,883,986,846,951,442,228,462,904,522,385,572,372,
610,771,572,877,773,263,400,802,103,858,954,557,645,894,063,689,389,202,568,
747,515,097,662,603,720,741,407,815,767,013,464,433,081,793,963,118,261,870,
002,479,580,863,926,309,237,480,462,457,372,687,730,024,621,814,901,458,806,
916,149,863,220,663,570,544,276,125,740,997,497,552,399,635,094,030,800,444,
453,279,300,705,578,477,523,244,375,596,647,420,277,584,475,286,343,149,639,
652,381,474,552,135,268,814,633,611,520,784,831,976,134,523,701,700,538,262,
126,209,842,022,090,417,382,640,259,623,983,721,804,831,316,839,615,576,663,
951,433,007,751,624,949,927,670,161,788,718,144,356,038,525,242,831,291,885,
341,019,349,543,755,613,669,358,448,424,973,914,026,909,196,372,309,160,801,
425,748,823,510,833,549,939,877,492,433,008,085,523,864,054,579,436,243,422,
768,199,784,480,520,379,859,234,551,035,620,659,354,488,427,239,786,069,959,
330,926,968,838,755,489,407,126,446,574,452,420,657,891,094,836,416,269,032,
163,854,726,046,451,683,542,033,844,012,863,030,727,069,929,802,474,069,278,
424,879,698,983,358,573,729,068,684,407,020,581,913,247,079,537,252,875,567,
545,452,460,125,973,804,101,942,455,926,456,883,218,095,363,337,698,302,226,
050,825,505,992,233,340,905,972,872,877,219,751,519,759,795,631,199,668,793,
328,782,503,600,524,985,679,719,201,289,829,295,373,464,520,987,870,918,941,
543,961,221,259,932,316,227,406,471,683,307,692,702,675,097,225,890,258,211,
343,167,823,600,080,258,202,342,285,599,621,897,373,478,098,666,761,285,973,
721,230,754,791,799,160,309,321,333,493,956,166,868,262,768,231,698,662,560,
774,909,406,888,318,752,073,591,852,464,188,101,871,261,372,998,502,765,481,
362,217,755,409,685,432,600,202,066,424,333,787,662,133,046,829,214,743,043,
305,737,802,039,251,439,364,670,290,927,616,982,435,469,803,112,113,654,957,
199,474,242,577,198,849,200,245,449,359,768,473,631,446,930,978,655,999,106,
328,462,429,437,475,079,212,246,714,183,095,823,083,925,216,724,680,754,214,
472,528,677,793,957,114,537,208,080,258,368,910,035,040,452,626,073,034,116,
421,557,063,233,440,645,605,750,415,737,891,949,240,622,868,340,792,138,256,
687,090,581,584,780,577,469,029,914,793,826,002,249,531,405,334,964,655,860,
138,313,100,097,375,296,506,640,125,994,367,239,870,117,578,649,170,843,969,
807,829,398,537,357,817,671,394,437,629,562,137,874,340,918,923,327,398,973,
637,220,402,372,583,279,012,551,631,405,287,210,772,631,404,564,684,538,696,
255,746,292,738,603,764,338,407,462,109,397,521,825,026,064,036,420,024,120,
027,222,827,532,317,282,819,837,933,784,429,197,958,733,012,146,337,098,348,
241,621,749,089,378,560,355,930,058,284,407,708,602,334,577,168,426,277,112,
947,113,658,772,379,380,831,588,223,899,405,012,839,442,006,832,947,476,652,
402,919,276,630,769,283,885,488,406,402,635,814,000,069,105,475,947,855,293,
303,326,967,509,147,407,977,554,628,015,857,034,718,275,059,469,033,999,672,
174,203,680,413,731,348,827,220,168,298,899,193,524,473,013,164,253,542,684,
732,432,779,948,648,469,155,041,289,463,934,096,724,076,949,659,237,067,905,
377,603,765,259,794,939,403,695,233,722,308,813,964,714,670,685,808,595,147,
769,690,928,562,006,446,113,310,883,531,994,143,056,847,012,062,462,760,139,
400,593,245,719,041,368,855,187,756,914,674,723,216,572,894,502,283,610,089,
311,680,695,847,930,996,740,400,659,351,613,161,274,892,053,797,653,986,942,
778,428,098,256,364,237,446,174,763,711,814,713,245,135,219,927,932,426,367,
270,600,371,942,971,924,670,122,182,725,738,260,204,102,973,408,763,271,697,
153,732,359,773,802,448,661,605,694,871,586,406,234,229,468,806,421,728,884,
989,784,657,864,892,259,968,597,957,692,928,101,905,347,183,179,834,327,200,
600,919,955,015,700,942,733,337,459,710,059,988,260,459,709,774,858,103,937,
203,452,035,586,337,677,725,145,666,110,942,333,621,337,126,633,372,278,348,
916,220,895,069,583,299,934,945,964,617,368,895,728,891,789,817,182,058,444,
389,343,216,844,155,020,418,539,731,537,030,246,802,324,952,159,012,839,490,
895,944,920,011,097,683,028,173,357,393,302,003,900,865,187,755,827,111,184,
091,681,246,457,023,666,112,011,073,620,274,626,843,655,876,610,730,363,992,
240,739,712,128,661,015,602,555,180,636,731,846,955,946,130,911,748,377,616,
055,309,169,537,310,686,007,664,103,048,175,357,941,817,106,445,907,509,471,
404,159,988,422,793,238,208,836,043,551,763,782,652,674,497,902,766,727,888,
184,720,739,802,606,651,638,762,501,818,369,695,796,057,406,943,355,942,112,
517,103,445,502,722,600,612,552,833,828,571,424,371,976,470,727,528,201,107,
451,722,493,669,869,890,625,178,661,307,663,874,966,375,204,893,339,942,620,
666,377,438,274,303,063,692,175,074,273,668,376,702,290,293,117,359,237,510,
338,300,291,345,363,418,660,629,733,996,521,214,041,903,292,820,373,575,360,
321,598,790,389,436,710,892,938,674,640,883,363,978,132,531,425,194,409,312,
527,169,621,030,763,466,431,630,238,914,169,517,818,366,748,122,111,869,714,
899,707,474,148,345,007,879,266,856,058,730,748,907,626,998,465,868,820,853,
239,954,568,599,129,811,596,078,461,113,954,774,293,202,608,573,332,943,108,
583,506,897,763,015,941,395,800,318,778,809,642,214,083,507,291,127,983,060,
035,016,658,021,946,420,287,544,112,385,396,031,427,749,198,433,656,733,163,
625,908,094,033,919,956,006,913,461,065,803,407,757,914,597,445,899,408,313,
060,212,441,691,271,405,164,716,206,405,400,109,833,132,932,461,001,603,891,
859,789,132,134,222,045,395,308,439,121,867,259,672,618,593,368,585,672,985,
204,773,574,097,819,181,045,695,035,913,142,849,230,501,493,779,365,608,861,
077,708,269,581,660,614,603,391,756,372,823,045,688,346,325,165,326,288,701,
368,705,111,087,520,633,931,968,877,441,108,703,715,010,190,067,282,391,967,
721,707,838,708,019,755,714,181,573,253,916,245,931,547,961,678,002,665,676,
736,344,916,013,974,583,200,767,799,896,804,407,480,070,012,434,009,176,427,
833,176,194,670,122,886,041,435,692,240,258,769,090,227,835,678,992,177,378,
716,059,131,145,781,048,039,824,142,406,830,844,901,259,986,156,492,908,031,
260,255,535,724,693,946,501,259,991,360,947,918,885,899,272,919,321,613,293,
380,342,719,457,403,881,214,826,143,091,516,475,369,453,546,122,547,803,781,
374,453,831,843,059,008,242,450,627,600,765,082,048,926,317,114,898,710,113,
993,867,971,824,976,148,880,539,036,886,842,969,208,900,787,729,463,303,268,
401,902,825,970,576,119,108,003,144,649,188,419,863,460,827,206,415,738,790,
100,292,951,843,195,514,068,640,800,636,668,251,709,198,260,119,594,593,926,
686,454,730,022,551,134,508,418,595,872,400,681,566,580,178,815,664,918,798,
131,308,195,501,522,425,738,242,885,760,307,113,520,772,899,285,161,400,838,
190,350,440,029,383,664,172,773,723,974,400,280,221,990,932,736,064,375,103,
010,721,274,551,188,058,951,450,526,708,648,268,262,274,006,283,610,352,824,
979,599,032,643,881,533,717,818,758,139,832,107,319,361,430,567,787,510,763,
793,051,480,890,906,099,863,033,529,558,003,402,756,082,921,247,594,371,981,
367,752,653,970,340,987,760,910,645,764,613,727,694,625,530,060,786,029,480,
330,975,506,160,849,810,118,892,660,531,084,254,885,456,437,099,026,636,397,
191,247,922,284,586,558,117,609,479,643,132,948,634,802,659,264,200,037,167,
832,381,709,391,730,650,126,675,748,898,312,367,906,691,995,495,409,077,646,
925,314,863,521,886,677,684,049,998,028,343,861,044,319,704,956,902,750,642,
566,885,100,120,810,545,631,128,262,310,511,507,844,608,990,627,796,709,642,
932,943,358,791,273,873,234,125,393,901,365,345,488,672,156,425,181,322,738,
639,581,400,144,570,458,455,701,287,528,518,219,474,001,729,267,712,583,451,
549,270,887,161,579,528,847,244,565,974,153,164,913,535,306,523,840,793,092,
042,650,412,791,653,890,318,746,996,976,710,872,348,230,228,109,004,702,689,
034,579,306,862,912,762,324,414,563,582,141,002,369,285,194,709,541,351,184,
476,729,763,760,257,688,054,687,553,156,575,891,062,584,368,675,300,846,923,
236,067,350,813,674,992,735,806,355,111,477,864,096,643,278,764,028,572,044,
309,607,124,211,888,274,696,002,800,016,571,160,956,476,754,686,708,947,035,
916,100,088,889,670,741,357,663,600,332,512,608,370,051,472,678,914,969,623,
106,517,632,867,744,442,238,830,275,501,184,704,221,713,982,074,966,990,880,
370,765,332,986,451,680,305,377,892,160,117,164,383,163,643,682,475,699,087,
275,447,522,562,393,598,379,700,320,673,363,253,948,020,220,140,893,015,962,
493,818,895,456,264,551,913,665,644,089,923,255,565,727,410,211,812,270,447,
131,401,185,396,786,714,587,945,003,992,543,436,142,565,894,801,485,909,971,
874,690,060,989,655,491,294,793,101,434,840,842,081,325,169,156,733,146,436,
974,351,387,900,885,945,270,881,025,034,277,653,288,478,339,874,190,417,577,
038,862,779,266,216,465,481,293,566,792,382,056,631,585,231,713,323,315,381,
521,112,733,861,795,344,364,300,097,103,210,649,414,142,030,281,962,573,075,
829,214,631,054,827,632,521,661,048,156,389,703,184,723,106,746,844,915,218,
270,824,336,006,433,641,858,949,896,329,375,895,279,510,311,824,748,225,829,
205,573,851,552,878,242,821,238,964,531,115,542,691,657,693,820,961,050,564,
913,007,274,965,785,390,597,131,313,437,194,738,220,154,979,401,881,984,352,
031,850,814,178,806,478,208,080,254,216,910,651,280,061,377,412,208,422,614,
904,380,996,345,988,412,255,079,625,057,790,156,796,682,856,344,393,587,000,
511,346,391,501,339,373,407,034,615,575,806,049,554,471,447,645,398,823,903,
963,558,404,229,648,915,094,923,649,581,259,668,936,414,174,216,459,667,568,
213,003,150,296,493,784,740,352,674,986,984,516,755,565,127,000,285,327,081,
003,433,873,893,699,882,574,544,650,716,949,633,106,967,376,189,084,414,665,
667,929,479,292,000,000,436,427,780,226,294,878,563,803,695,354,861,628,183,
774,919,593,212,144,170,165,897,337,628,645,339,469,111,818,937,568,389,355,
655,915,855,146,140,615,373,160,639,428,465,019,343,783,266,639,018,986,752,
152,954,653,753,004,339,614,878,592,252,786,547,198,341,036,788,343,491,955,
030,912,581,948,178,019,542,084,688,593,186,217,390,942,341,238,812,709,600,
479,383,964,318,260,966,229,026,633,128,544,589,078,513,312,769,474,589,322,
738,553,572,798,059,138,609,510,856,880,316,800,663,841,010,992,445,749,909,
858,889,118,023,300,166,304,510,414,279,982,032,176,250,201,810,606,667,641,
326,471,497,370,840,574,841,936,451,419,663,765,977,020,097,207,375,016,857,
790,726,786,693,204,136,434,124,413,420,548,299,797,656,620,110,759,536,159,
762,291,543,147,702,091,220,936,372,762,376,065,310,428,021,268,519,259,550,
630,494,921,626,462,844,838,067,370,004,850,101,044,071,924,464,909,071,147,
787,540,251,811,064,517,629,308,443,774,995,900,666,401,205,272,241,642,520,
045,408,875,254,208,374,550,637,153,518,581,768,203,525,371,239,917,391,149,
992,643,956,185,179,499,423,153,902,863,149,877,150,527,034,180,639,256,180,
069,920,363,475,979,500,900,137,663,277,999,981,098,005,520,348,644,408,264,
186,303,490,405,391,212,876,706,330,238,187,787,933,006,316,604,000,610,317,
851,889,335,984,908,008,144,762,070,527,813,433,289,287,340,929,885,847,930,
677,479,621,921,438,834,480,055,487,255,452,766,738,418,436,071,236,378,698,
497,405,727,800,428,498,756,691,237,793,879,976,549,021,962,059,030,767,583,
073,824,936,674,642,061,871,013,230,201,071,808,724,263,017,787,761,192,209,
382,216,892,604,590,664,360,336,704,844,257,983,307,726,464,074,239,327,999,
716,030,083,359,901,413,962,544,296,954,493,741,282,189,616,157,640,085,019,
542,884,977,845,096,509,590,959,310,452,362,322,705,390,663,883,170,483,558,
856,250,802,026,247,030,415,442,360,738,198,876,406,507,499,503,938,724,600,
347,449,369,247,133,071,135,266,857,638,102,038,033,976,228,743,203,405,682,
312,119,228,720,880,197,185,461,526,395,602,068,276,051,844,535,245,810,895,
675,303,998,688,858,687,508,392,526,922,962,058,358,944,187,915,100,977,686,
070,994,046,174,297,065,149,531,433,663,974,181,890,455,269,823,527,502,827,
992,361,575,465,031,360,583,158,371,751,572,410,893,791,588,219,811,598,980,
191,510,916,010,321,988,158,819,422,388,266,557,560,785,260,277,486,206,047,
187,305,100,800,492,543,874,496,960,585,644,401,961,366,376,856,765,491,360,
619,919,655,531,122,448,912,888,184,646,764,014,589,090,127,759,651,847,065,
467,802,537,231,959,839,870,275,373,723,664,470,689,520,452,710,761,317,431,
872,348,889,752,924,691,170,635,102,430,560,331,121,372,137,969,047,593,875,
982,654,585,037,632,937,732,102,509,053,698,159,482,494,488,537,457,434,835,
489,012,022,865,561,112,871,196,090,154,447,688,736,198,192,973,102,108,119,
692,978,039,121,637,635,180,345,265,183,993,189,709,964,241,061,331,421,496,
058,573,728,907,012,424,572,253,208,078,937,811,802,330,572,930,947,695,369,
929,575,231,716,546,932,990,738,082,877,699,421,443,125,375,686,820,993,931,
337,692,891,690,105,905,192,091,140,824,430,181,566,826,425,676,406,107,288,
087,151,353,521,892,357,929,619,411,923,196,650,858,604,999,207,423,464,080,
745,809,063,736,054,031,388,999,087,353,315,578,695,256,773,976,607,770,813,
246,069,484,440,931,221,440,574,700,946,236,675,639,340,178,229,973,737,416,
278,481,039,476,533,089,990,100,056,972,892,859,912,766,748,438,536,225,291,
630,479,657,050,755,677,146,757,431,675,218,711,511,200,760,478,232,141,159,
325,928,294,543,098,747,246,549,803,620,972,396,076,413,185,871,371,674,119,
932,462,373,533,939,819,316,667,532,973,863,541,147,292,789,823,581,686,219,
107,773,599,691,852,175,777,574,489,641,980,271,604,579,007,939,301,255,810,
512,756,570,910,481,800,119,775,166,844,280,430,836,958,032,918,932,560,896,
531,663,983,640,928,696,477,702,602,308,586,262,670,394,160,703,245,498,210,
970,080,444,683,045,672,399,637,299,581,150,142,348,881,811,340,661,117,555,
597,771,892,906,939,750,045,684,957,937,282,268,367,067,982,944,494,336,898,
734,194,023,462,717,322,319,277,708,535,985,149,371,187,352,131,551,675,662,
296,226,752,433,906,852,066,529,218,017,722,817,163,856,760,747,928,318,837,
070,444,192,443,303,818,396,795,434,371,471,155,899,700,046,195,830,736,068,
706,918,239,577,026,759,994,669,332,533,834,420,609,774,259,581,185,122,125,
275,300,219,023,979,327,693,364,959,979,508,757,631,078,798,746,352,165,813,
297,476,470,619,801,800,455,389,076,990,998,737,625,817,640,081,616,774,155,
191,430,143,847,741,204,386,525,867,105,384,236,306,828,832,852,456,541,552,
424,723,479,738,117,462,433,086,747,690,594,083,401,955,260,681,085,839,874,
143,310,763,245,837,278,552,728,764,439,094,639,336,918,244,124,703,404,170,
132,787,563,296,487,917,445,674,671,468,976,375,881,645,269,154,595,965,475,
467,906,254,232,858,660,373,023,554,145,865,259,816,708,727,468,260,136,651,
888,218,936,372,418,509,742,055,976,755,094,618,830,898,300,007,943,116,766,
006,339,463,864,513,151,436,592,443,211,977,116,861,588,330,396,569,299,662,
158,367,887,469,634,673,632,882,824,142,167,834,876,232,594,265,868,179,460,
075,309,694,694,181,320,030,928,711,745,928,652,976,619,481,320,305,954,021,
231,807,362,444,362,826,477,454,447,797,472,357,439,201,440,326,368,951,104,
809,831,359,531,898,909,439,659,667,781,914,407,745,656,273,574,306,417,539,
939,460,253,713,273,147,943,605,661,433,635,907,681,495,469,034,650,843,834,
622,895,424,853,433,728,921,039,967,314,380,812,585,277,741,336,685,474,602,
700,308,767,006,715,244,015,145,652,859,822,358,520,145,553,006,187,435,669,
460,454,361,160,732,146,063,054,766,962,029,623,057,081,289,807,237,141,433,
095,719,180,071,682,733,711,338,770,646,842,999,433,486,677,160,129,194,602,
409,941,834,328,788,580,278,536,674,249,804,301,787,623,629,673,732,605,690,
599,963,613,947,132,544,180,369,732,658,956,290,601,934,591,071,759,475,242,
853,980,358,064,094,836,781,657,785,680,294,247,462,871,105,118,352,384,538,
075,278,647,368,842,709,128,210,912,820,334,620,700,257,193,891,078,860,290,
239,863,452,559,929,745,990,294,948,494,297,143,149,394,591,371,174,943,106,
013,888,568,495,769,300,181,985,887,991,979,593,642,515,635,653,604,779,410,
571,718,898,284,859,647,787,167,928,640,430,641,664,323,587,579,963,725,084,
966,104,674,647,083,444,902,551,981,888,274,682,707,020,011,576,232,125,426,
837,875,543,408,832,514,069,655,990,926,562,412,941,720,175,954,647,746,225,
251,181,516,214,778,005,193,418,063,545,266,386,448,503,814,685,563,301,197,
640,891,060,783,479,095,308,018,919,800,760,255,779,363,302,436,345,358,853,
399,397,312,343,941,300,526,992,734,160,951,996,747,836,414,158,704,742,798,
071,155,343,511,999,461,435,754,594,622,521,611,995,201,116,740,696,731,919,
782,814,146,918,163,216,265,458,382,154,628,838,793,789,156,993,166,759,490,
221,342,343,952,049,972,006,241,560,755,474,438,306,184,925,623,709,593,360,
541,651,447,841,091,499,377,988,433,496,771,167,427,568,115,329,393,486,946,
883,045,731,395,665,943,558,082,895,287,840,801,070,594,263,459,036,311,426,
258,315,259,475,095,453,246,053,813,625,727,331,895,220,531,144,385,481,037,
346,209,404,279,129,008,548,281,418,559,139,850,411,955,129,396,323,618,065,
050,141,211,310,472,105,050,466,691,789,228,130,915,269,713,154,076,877,185,
576,601,333,018,966,539,952,231,097,316,768,255,497,791,179,361,493,751,210,
369,425,204,357,688,975,213,811,189,762,831,382,939,954,019,432,978,304,036,
704,734,692,720,653,680,490,050,411,534,768,067,758,515,076,936,869,355,276,
843,117,261,813,301,984,027,488,212,773,256,459,661,806,660,721,589,803,429,
798,954,082,333,098,664,350,273,228,952,997,383,792,255,201,123,652,733,381,
885,140,724,654,992,797,786,473,338,422,574,069,982,243,681,583,134,748,574,
711,429,670,608,528,653,739,364,309,144,512,257,703,728,676,193,309,039,043,
578,076,846,107,142,143,888,603,651,560,172,147,521,158,801,067,451,200,909,
647,643,792,231,740,585,208,208,084,866,344,148,029,304,995,437,252,243,473,
288,090,992,130,559,921,449,664,632,138,447,242,682,410,209,394,271,836,965,
571,707,183,150,206,856,157,715,433,928,481,850,288,967,659,533,799,283,537,
404,620,680,679,546,947,504,464,955,338,219,801,803,733,634,463,766,351,365,
159,538,943,813,217,441,732,190,525,486,577,476,405,114,475,604,206,980,913,
222,623,381,995,615,402,781,475,939,918,460,349,478,512,671,305,810,922,477,
442,711,243,924,559,410,394,377,670,922,642,031,731,018,474,786,588,454,950,
975,969,282,158,776,038,517,648,105,267,375,775,909,647,335,416,812,305,292,
758,315,242,266,716,503,526,538,084,206,474,987,497,654,211,281,994,774,969,
742,506,168,561,340,299,389,325,605,896,907,335,771,372,223,337,052,302,110,
621,417,774,956,793,583,319,308,030,284,727,546,127,705,482,997,680,823,320,
420,513,617,642,118,608,371,816,189,398,411,754,987,430,789,744,760,803,978,
934,124,735,624,130,960,353,940,074,064,070,986,462,729,860,746,571,612,427,
967,454,588,250,471,262,515,892,252,156,955,554,546,818,480,293,915,927,525,
561,289,293,207,014,308,051,201,974,756,192,441,683,787,881,797,067,684,024,
939,535,209,044,156,528,112,037,308,518,684,206,286,279,959,386,891,020,091,
382,809,497,497,031,952,730,707,441,517,670,357,574,948,219,114,605,879,851,
316,888,053,374,730,205,297,423,406,506,990,787,849,902,672,927,876,986,553,
711,641,798,302,376,943,019,546,047,702,961,710,479,881,662,370,204,874,240,
103,579,904,005,759,377,249,355,786,497,469,562,767,088,119,226,589,723,072,
608,964,558,830,353,732,472,495,747,886,391,911,843,826,734,822,145,420,111,
500,294,898,182,278,691,153,002,283,090,249,742,066,009,584,171,887,805,566,
460,500,008,029,902,315,619,714,703,000,480,258,882,081,794,561,978,179,170,
477,937,966,317,138,491,611,882,485,662,600,428,081,615,848,127,273,499,221,
987,745,434,778,958,651,332,945,471,713,472,294,786,925,371,505,426,673,788,
126,395,772,036,795,957,702,768,301,767,875,568,163,583,327,143,900,460,417,
483,782,411,517,614,350,496,094,171,115,287,073,784,563,302,727,150,692,880,
257,030,363,373,741,014,957,095,169,344,766,124,453,696,414,041,967,674,133,
064,564,033,520,362,123,596,274,799,700,202,185,873,217,202,650,374,779,020,
346,534,118,577,145,615,982,580,386,644,353,733,197,901,937,267,385,383,831,
318,894,178,192,588,991,276,601,275,084,504,080,525,959,095,282,850,655,976,
989,463,564,432,527,531,410,412,324,301,929,136,604,578,752,783,701,114,062,
869,015,067,570,503,264,858,246,872,718,320,391,242,061,539,628,234,294,578,
894,952,324,898,829,367,922,007,876,419,943,503,793,827,797,495,810,160,706,
985,836,899,384,143,031,793,434,467,104,316,382,456,067,370,727,596,849,405,
378,537,504,484,933,013,483,846,505,058,890,586,339,305,874,387,585,272,067,
475,012,361,175,202,393,356,713,310,194,247,675,532,158,914,321,222,853,819,
675,025,712,227,708,049,056,897,968,256,811,648,591,804,911,049,217,660,741,
110,559,747,787,954,375,692,176,290,224,562,761,341,903,157,232,759,040,283,
391,475,727,952,000,277,205,824,126,974,459,193,247,923,590,112,756,503,511,
709,234,252,497,841,966,867,431,320,791,901,573,678,242,445,214,697,211,709,
368,008,437,636,425,171,652,445,384,137,965,941,853,237,035,891,716,041,970,
348,972,879,860,854,457,712,421,415,726,907,209,553,090,488,862,086,650,017,
761,572,802,355,939,619,184,790,358,111,302,021,472,320,987,296,194,422,327,
980,586,537,985,519,004,304,774,070,382,510,415,854,276,923,927,759,620,761,
822,793,660,683,766,394,932,704,796,037,743,854,023,401,573,557,588,788,229,
784,289,671,842,746,664,791,299,430,742,437,091,101,363,244,409,540,298,887,
774,048,811,357,920,483,561,896,005,791,419,786,119,282,259,189,261,135,664,
512,180,016,362,153,592,313,333,809,855,743,383,717,693,521,776,782,707,250,
952,666,824,373,810,119,548,635,790,059,668,590,751,837,722,273,528,779,292,
352,422,668,506,515,583,726,612,960,714,993,097,205,110,984,042,868,128,498,
786,137,537,269,433,808,250,599,755,118,518,234,294,039,337,582,355,989,463,
171,354,501,826,602,430,285,539,940,617,276,121,986,333,381,671,984,293,103,
221,225,476,617,916,764,752,311,368,003,447,846,984,426,064,955,584,557,794,
514,298,225,119,529,343,211,329,330,270,020,523,922,713,097,667,410,807,082,
120,178,609,005,021,333,712,688,278,593,191,973,024,744,169,996,134,379,438,
696,145,519,422,215,188,192,655,405,746,087,667,447,321,938,633,864,573,173,
065,128,874,665,739,625,699,459,139,244,327,940,892,536,844,601,311,827,454,
108,033,722,772,331,767,885,478,936,248,421,988,133,649,850,659,317,702,741,
214,938,263,917,419,197,255,826,901,258,543,754,464,044,087,361,469,003,414,
597,989,147,259,738,367,441,102,392,257,495,266,662,497,513,266,378,050,927,
770,408,334,899,783,160,191,969,306,276,386,811,793,697,608,174,504,299,438,
445,338,183,422,241,446,155,797,619,400,717,784,482,235,202,770,627,941,783,
889,173,911,868,140,321,352,964,035,146,225,934,729,697,678,660,650,254,105,
126,995,811,716,605,688,866,844,192,136,223,884,576,830,149,056,862,729,727,
390,078,664,633,343,735,816,045,464,752,226,771,582,872,008,425,848,068,657,
491,389,764,479,011,603,533,352,776,999,484,357,229,803,033,477,792,045,030,
623,324,061,306,093,984,023,183,747,402,756,613,539,322,168,551,008,293,330,
187,913,355,373,777,557,037,369,399,929,067,165,261,084,388,302,364,146,181,
373,856,205,819,309,582,260,877,890,444,445,612,531,881,780,260,594,788,758,
920,710,579,073,813,304,279,740,438,046,235,523,453,299,489,914,305,464,802,
626,848,754,164,912,805,244,011,501,435,546,773,121,758,821,330,310,520,537,
721,382,629,537,128,370,197,021,062,746,141,339,116,858,830,531,911,693,136,
303,184,865,553,308,059,344,505,133,958,368,854,942,409,552,179,439,392,051,
857,693,250,494,617,308,406,746,440,948,051,067,392,339,089,702,945,475,653,
578,901,087,136,689,517,157,312,135,470,927,645,871,340,348,709,800,029,487,
747,726,891,250,456,799,550,490,087,115,343,963,482,100,700,032,905,993,351,
007,353,980,847,703,881,155,197,722,777,075,224,590,266,999,010,681,686,744,
655,772,243,716,729,070,625,762,330,906,452,002,006,463,985,292,296,167,727,
584,925,903,216,070,344,913,524,111,145,383,089,160,259,134,511,149,752,455,
985,932,078,951,314,212,747,276,925,348,817,500,890,679,216,609,824,974,577,
841,744,526,995,170,126,807,941,199,814,997,418,076,741,717,424,748,626,112,
024,044,146,973,757,141,990,327,611,184,720,015,439,528,277,069,665,562,268,
728,950,709,378,062,299,602,033,088,631,504,555,641,115,831,331,054,668,160,
499,755,332,098,283,166,004,220,515,235,863,900,338,178,829,136,678,038,643,
062,629,146,835,048,058,669,483,545,925,108,846,857,763,763,988,390,796,097,
746,936,171,824,428,167,278,734,064,149,881,064,851,000,266,973,548,112,130,
567,411,494,445,077,809,920,571,304,927,444,339,802,642,412,291,188,940,027,
706,875,185,244,350,956,822,369,389,063,103,868,679,791,619,572,175,529,291,
082,388,927,927,637,133,070,479,629,243,962,408,237,807,286,728,102,176,925,
608,871,617,881,519,352,632,607,412,079,751,127,666,468,729,707,142,905,548,
944,049,224,335,863,412,433,488,136,954,065,099,270,949,020,253,477,452,027,
599,696,019,594,152,037,650,352,101,119,367,960,506,970,392,794,569,303,704,
468,415,499,358,968,829,790,644,575,196,496,817,603,245,786,130,683,967,974,
104,770,692,289,369,725,004,849,794,384,504,961,544,752,291,469,472,224,949,
273,448,665,751,758,010,807,989,138,720,995,784,337,707,286,836,549,222,626,
396,798,643,059,821,649,273,693,586,156,842,162,415,192,204,176,876,318,407,
587,745,229,546,542,948,916,292,281,588,757,374,094,566,613,701,808,284,230,
102,837,792,304,960,497,935,335,258,326,263,995,086,876,709,014,472,469,616,
981,908,793,554,782,221,766,394,701,859,293,315,544,429,612,304,162,902,455,
007,550,417,985,482,377,822,378,235,754,948,159,567,050,985,074,313,454,035,
830,703,388,269,082,585,077,109,947,192,453,503,627,003,307,808,876,420,790,
260,316,273,204,372,632,462,314,655,162,658,624,284,264,606,872,463,181,251,
980,371,335,087,790,482,941,678,415,214,652,363,327,981,187,162,667,426,158,
904,221,893,745,960,599,110,509,034,942,452,716,864,233,736,806,883,548,105,
405,993,562,932,862,738,040,015,039,094,587,516,389,253,109,472,124,543,424,
133,613,949,450,483,950,248,650,990,984,756,011,115,281,047,496,770,611,554,
012,239,124,019,931,456,588,076,690,294,394,350,110,706,894,753,644,471,498,
144,497,634,972,798,250,273,258,320,782,854,740,168,326,632,625,535,656,972,
386,906,907,732,017,846,340,562,128,043,419,444,472,775,238,187,784,585,064,
391,139,013,676,535,039,568,756,407,670,485,310,191,737,805,378,575,577,748,
224,969,192,568,346,969,188,541,289,684,201,757,747,308,251,713,306,354,582,
649,022,444,440,804,275,268,006,929,538,543,909,341,045,613,594,191,608,360,
117,716,785,764,445,769,693,374,389,644,265,032,201,740,572,637,995,146,296,
318,808,777,399,403,610,641,889,776,221,695,095,231,341,823,483,416,740,553,
122,276,713,773,551,530,780,266,630,014,922,437,298,903,575,632,311,475,512,
348,474,876,506,124,216,009,180,741,472,047,020,067,200,408,505,249,454,176,
155,461,080,125,153,242,079,697,461,964,927,235,099,406,546,012,966,994,614,
041,834,167,500,461,203,844,186,569,203,996,291,453,578,428,698,023,484,693,
295,686,591,150,891,910,849,449,843,533,105,500,150,839,696,544,159,365,757,
503,582,733,807,925,194,371,016,063,132,820,494,148,308,951,372,701,065,530,
139,285,814,605,563,039,426,702,936,845,594,936,573,340,537,543,978,657,175,
353,431,584,193,359,789,015,643,434,753,329,018,919,076,914,295,647,064,372,
370,402,203,546,037,029,755,866,474,271,854,084,391,344,206,064,336,748,579,
536,286,122,865,195,953,401,390,982,135,184,272,394,723,222,874,558,006,686,
313,003,999,085,908,640,335,476,729,255,337,095,509,288,577,668,441,162,068,
025,290,197,904,095,742,628,100,830,361,654,541,343,190,222,965,149,660,442,
088,651,691,745,663,454,274,472,469,712,647,617,969,109,216,446,217,000,440,
741,711,957,097,159,943,546,507,763,498,708,021,488,747,160,386,351,813,725,
789,479,253,616,426,657,514,147,386,924,482,521,893,707,590,899,001,357,737,
283,730,542,761,366,488,879,330,185,906,737,828,952,522,912,907,530,295,810,
974,807,596,962,536,418,750,843,245,269,546,582,148,541,157,606,816,939,032,
477,074,051,990,659,045,985,422,972,854,588,262,287,259,555,880,876,694,073,
766,122,225,214,310,163,833,749,428,283,229,560,052,892,146,148,917,521,816,
245,007,708,097,129,430,690,062,132,000,280,134,127,672,406,737,507,972,104,
139,093,439,118,833,910,214,122,909,493,202,265,984,894,491,373,433,706,232,
423,275,926,493,514,005,155,668,821,472,870,997,447,092,405,452,918,479,697,
582,217,627,185,671,859,063,344,029,554,492,408,396,612,609,773,185,897,140,
812,321,156,069,362,065,349,359,367,703,398,519,816,940,247,756,650,076,583,
795,614,570,648,944,174,958,094,937,044,486,436,096,335,680,613,218,632,392,
509,338,979,964,488,881,032,144,172,423,437,721,704,935,275,070,485,704,668,
158,535,835,233,289,530,014,758,951,890,833,953,142,670,066,039,977,642,152,
277,357,729,368,628,838,025,390,018,268,305,792,520,216,764,464,825,187,336,
082,798,451,520,137,839,796,104,560,707,856,567,107,854,145,822,005,704,254,
234,427,381,806,649,905,127,412,618,308,968,227,848,296,976,902,713,135,109,
720,225,669,355,490,818,157,459,226,428,718,051,543,192,596,869,625,454,934,
194,169,028,159,569,554,308,950,547,185,011,152,627,887,162,190,248,300,731,
383,318,983,472,713,839,995,473,111,562,171,922,535,037,881,375,190,066,057,
879,142,983,541,750,769,275,359,999,864,712,006,538,449,318,192,629,957,194,
267,026,239,866,883,928,434,892,572,316,572,363,496,757,911,941,788,388,644,
263,511,274,530,770,939,365,314,579,586,329,876,783,116,163,989,497,781,518,
695,130,652,460,519,787,843,407,247,406,536,898,778,974,598,458,838,150,183,
243,851,745,739,827,917,107,620,142,023,842,915,067,143,869,931,172,516,935,
390,262,681,578,569,425,349,026,796,360,485,983,712,565,571,747,847,177,233,
488,535,820,050,361,169,500,590,276,572,302,807,721,142,131,431,031,565,266,
765,976,032,041,479,750,815,272,365,291,401,519,825,540,498,162,424,804,973,
495,731,017,375,954,060,612,602,593,482,805,456,381,525,369,995,025,737,479,
672,646,411,424,803,437,024,743,984,940,750,705,106,727,882,812,834,593,429,
753,069,531,408,533,491,191,259,033,263,708,891,235,508,036,115,082,736,507,
726,960,038,379,169,293,696,883,210,933,206,415,868,772,645,456,219,090,213,
023,924,210,740,703,098,340,112,860,973,411,591,917,520,132,420,457,928,309,
258,434,958,590,438,909,816,843,095,665,996,742,622,698,646,211,032,698,744,
731,674,050,926,460,493,951,021,814,929,788,351,165,533,445,850,387,585,357,
341,151,334,234,032,168,323,249,491,547,649,039,994,702,970,652,279,723,148,
734,900,115,933,389,832,877,510,152,813,265,295,086,367,392,172,430,001,650,
756,218,600,921,199,861,582,209,879,922,707,126,659,740,321,465,477,245,885,
432,135,100,056,589,620,825,611,507,367,351,999,784,359,591,396,318,373,555,
330,598,449,463,635,546,483,390,266,458,171,922,557,202,179,428,822,548,392,
628,879,086,767,533,885,339,794,752,568,621,274,309,440,904,905,288,767,642,
944,959,462,985,436,912,507,035,183,177,442,496,570,795,722,604,490,612,191,
792,534,830,325,254,131,593,173,476,209,402,457,814,055,337,477,849,067,233,
406,027,970,123,105,468,910,864,558,378,508,971,405,948,102,568,125,384,613,
448,109,017,998,126,425,636,778,712,017,167,406,633,383,676,884,161,315,120,
539,023,910,684,505,655,715,877,991,554,215,004,836,253,894,573,613,227,509,
347,883,288,596,169,823,837,719,480,628,063,526,717,578,369,386,897,601,751,
080,500,348,402,664,924,239,952,066,280,106,924,529,094,305,725,322,842,071,
213,813,991,461,818,730,304,982,018,503,239,725,799,983,455,877,699,007,735,
802,522,976,713,106,943,637,172,043,489,727,806,240,112,721,183,745,877,096,
367,742,011,321,428,899,032,852,050,673,682,205,665,727,215,912,105,101,560,
373,707,976,312,505,263,877,533,367,123,180,665,814,534,949,448,220,816,455,
566,735,973,162,037,113,401,083,315,552,664,309,679,732,579,409,063,984,611,
701,817,174,032,505,695,517,840,578,122,323,211,737,498,979,559,500,043,258,
475,042,217,265,509,508,676,555,744,482,946,412,019,504,246,849,760,816,380,
545,972,201,040,283,468,663,210,974,118,480,169,137,691,059,404,879,570,928,
586,269,787,706,620,525,228,675,802,373,788,302,257,808,978,633,155,456,615,
913,818,222,354,833,682,552,673,555,346,400,388,837,911,538,632,075,671,677,
122,868,879,862,507,131,136,523,920,417,935,811,174,258,726,245,081,469,530,
210,883,237,679,104,189,483,524,735,632,893,783,761,704,018,460,427,563,750,
734,543,295,977,456,967,987,921,505,976,585,911,533,994,164,296,880,265,285,
978,209,507,620,011,086,281,323,367,967,096,408,053,611,749,090,496,416,662,
030,099,621,232,692,874,568,592,741,361,062,613,979,395,634,388,162,237,013,
174,320,229,239,812,968,448,453,081,136,254,238,405,670,079,327,140,619,898,
288,252,612,110,545,632,604,141,137,953,272,932,605,141,804,152,786,383,310,
981,477,348,610,655,486,382,317,509,944,756,534,294,314,378,853,895,229,934,
233,468,135,790,401,451,496,250,814,142,795,990,288,238,459,531,520,017,274,
897,893,280,106,758,187,301,784,519,220,583,562,392,826,850,449,049,313,324,
405,145,372,179,586,748,012,183,043,691,209,385,036,596,199,137,493,463,456,
136,097,051,656,399,011,110,368,042,690,963,366,963,561,271,099,695,732,275,
121,865,275,121,122,404,543,230,896,852,167,049,362,345,814,188,720,482,453,
973,013,489,319,142,115,168,179,113,610,987,922,200,021,999,611,481,632,898,
615,160,815,041,239,014,394,298,825,511,619,139,097,567,637,498,028,905,416,
560,891,530,590,910,558,151,858,650,329,165,058,624,979,707,172,651,263,911,
211,584,530,951,615,942,199,108,810,659,328,022,719,642,999,634,675,442,820,
615,906,695,095,902,185,449,943,852,857,322,540,699,463,887,174,763,477,544,
359,956,609,497,317,706,672,273,312,840,787,288,443,708,682,802,195,684,657,
547,297,482,820,156,928,924,977,150,549,538,139,159,512,626,730,231,961,134,
015,053,943,061,170,911,421,700,968,444,283,654,821,687,469,578,620,630,999,
069,637,610,008,763,641,561,610,563,175,447,843,962,017,331,154,583,768,926,
546,639,147,499,006,821,782,218,242,998,899,313,709,646,971,923,662,424,558,
958,915,174,063,864,208,998,671,014,834,528,223,852,349,195,587,829,670,011,
063,810,611,041,484,652,403,180,378,019,978,221,754,161,992,985,687,564,611,
983,749,313,504,052,878,416,712,846,802,422,943,535,033,814,901,086,525,051,
580,074,719,377,452,836,259,811,854,943,553,976,846,446,090,623,077,919,407,
909,660,657,336,083,531,029,008,308,423,825,269,350,099,737,769,334,067,231,
914,931,811,686,547,709,540,314,930,642,282,796,819,332,227,211,919,343,803,
324,835,593,687,086,791,695,391,634,324,605,735,888,752,247,429,290,480,714,
085,940,826,602,368,534,735,882,736,996,671,482,756,227,291,076,312,359,710,
507,177,088,472,010,836,479,058,617,867,463,658,737,587,618,591,427,480,614,
877,904,256,074,431,065,524,247,814,080,267,639,851,285,861,584,203,635,718,
784,439,320,331,883,586,036,943,437,010,097,631,611,053,878,902,902,685,839,
178,328,029,058,263,442,494,875,783,250,370,629,003,109,770,147,353,016,244,
957,434,847,461,924,889,982,783,878,152,021,737,514,551,797,647,954,212,214,
699,505,999,674,126,700,233,577,507,819,166,130,036,427,408,940,159,557,324,
212,978,841,437,782,882,407,565,874,437,719,205,599,788,851,506,442,272,421,
234,136,947,614,634,442,553,791,458,060,476,185,558,405,016,809,526,050,645,
122,706,698,251,442,666,808,106,015,182,022,245,964,295,597,372,594,946,756,
494,038,595,383,108,686,284,487,718,052,375,041,808,128,359,753,934,587,146,
262,225,898,135,551,116,279,977,181,683,857,300,940,948,024,182,157,129,067,
912,511,005,003,038,426,971,216,008,994,177,836,250,696,274,573,397,201,332,
999,958,511,724,935,014,877,415,528,355,532,648,503,731,900,935,451,698,839,
355,547,032,999,118,326,782,374,255,873,897,245,885,112,347,567,584,555,660,
048,860,105,676,764,470,040,158,943,919,982,517,384,980,141,993,340,436,240,
878,665,209,325,241,442,347,531,079,131,800,315,868,804,626,934,760,057,103,
363,706,189,882,650,726,307,561,360,696,096,971,401,131,868,154,188,810,040,
391,217,101,212,237,879,015,209,651,455,299,859,266,073,552,596,438,499,505,
499,010,628,891,742,551,123,331,941,703,489,757,373,245,588,634,578,435,257,
564,854,398,133,839,861,849,757,523,166,157,061,197,450,988,478,014,194,428,
602,764,493,264,199,840,790,169,411,146,742,295,990,513,979,728,573,784,557,
730,905,142,445,374,241,274,546,478,964,744,140,131,651,526,226,685,369,394,
966,816,962,527,357,119,436,121,615,995,238,491,555,119,558,807,044,682,358,
338,309,745,171,007,399,809,899,392,976,282,038,917,851,245,662,770,136,378,
146,250,794,698,565,405,571,317,075,746,844,984,611,366,590,695,443,311,735,
205,586,908,075,364,331,052,180,866,474,734,882,839,620,934,163,386,973,254,
364,591,170,661,801,021,793,792,439,022,432,624,424,914,879,368,489,594,414,
467,238,248,673,103,723,127,838,310,759,347,897,508,764,884,056,996,679,888,
630,694,431,293,001,814,921,029,474,898,675,045,740,100,660,963,809,460,579,
786,765,499,142,172,613,422,591,793,992,968,864,357,537,669,167,210,062,377,
223,847,729,997,435,982,158,176,046,739,115,561,130,826,850,857,715,321,418,
796,568,631,704,612,303,531,674,694,444,246,877,376,113,391,097,562,449,591,
960,786,483,143,284,572,978,270,878,560,843,934,630,430,250,812,094,261,018,
548,084,228,196,748,273,662,334,746,799,702,898,471,600,077,170,862,528,555,
148,141,083,014,662,603,655,609,957,293,835,642,081,142,560,861,529,795,901,
008,745,664,135,774,293,670,622,661,464,055,365,426,936,110,893,240,901,323,
476,638,476,906,269,775,915,044,699,379,967,851,123,916,647,763,310,950,316,
968,478,274,658,265,531,511,896,924,331,942,431,740,208,195,967,149,072,196,
848,845,152,075,911,849,567,476,431,878,870,531,210,584,086,774,115,957,428,
290,348,072,685,538,188,442,013,267,875,085,955,014,866,586,465,914,039,175,
870,260,910,180,205,436,792,517,470,094,653,829,182,369,521,516,111,891,785,
301,448,248,808,860,503,050,205,319,352,051,210,450,493,037,036,494,299,894,
039,692,519,936,484,512,408,255,604,172,665,192,136,155,640,126,247,505,716,
610,619,985,821,362,413,207,978,396,321,747,300,786,762,602,138,876,869,006,
307,276,854,595,279,690,738,931,860,845,332,716,430,834,067,358,472,273,917,
992,591,932,467,673,245,473,677,704,148,899,232,280,356,463,724,452,504,703,
409,506,703,654,476,549,627,508,348,691,005,185,088,607,776,626,338,882,361,
925,051,888,558,408,279,329,761,352,622,465,230,371,260,530,754,974,713,808,
379,739,032,773,602,960,107,938,666,972,347,405,552,069,758,921,446,236,338,
836,605,270,412,152,174,088,137,768,856,379,058,456,080,473,444,798,217,423,
371,205,085,102,312,592,170,835,439,412,506,553,093,331,357,002,814,897,424,
171,371,396,198,786,179,117,263,316,850,325,575,119,581,953,330,958,027,754,
548,377,066,542,593,553,138,193,802,919,407,357,571,522,964,833,008,657,212,
946,368,170,121,611,540,660,479,678,497,480,510,046,776,093,796,321,432,201,
466,091,156,878,279,109,724,986,356,490,270,400,249,929,603,349,460,599,996,
923,816,919,073,472,381,624,513,589,392,303,962,812,146,293,528,003,225,046,
182,660,523,611,728,234,701,778,079,385,119,070,842,893,504,650,265,653,807,
114,483,588,589,924,090,591,320,444,000,841,341,203,090,702,904,738,776,499,
812,778,335,430,149,482,189,305,219,467,153,406,545,855,664,567,629,096,959,
607,283,460,177,285,878,016,591,308,239,213,740,112,466,938,328,034,158,767,
702,232,095,956,933,787,977,179,629,305,263,018,437,738,245,463,004,400,445,
681,132,688,571,894,110,711,331,055,998,999,181,635,627,947,232,388,678,824,
044,401,459,430,793,219,338,771,632,906,354,040,736,395,816,168,252,726,068,
640,825,403,723,314,546,942,238,354,023,208,177,320,072,616,668,498,042,464,
573,563,542,214,118,222,449,431,707,629,131,695,834,359,316,715,057,651,647,
432,474,294,433,236,130,521,481,995,608,525,491,570,587,291,113,579,737,794,
474,094,816,877,690,538,756,313,372,967,400,556,554,178,685,002,278,562,648,
288,740,019,225,873,938,561,495,274,681,873,379,832,798,272,386,309,835,319,
072,660,542,306,071,083,897,268,894,149,991,894,293,323,194,288,231,986,672,
602,446,075,245,763,966,711,624,203,141,833,262,871,459,986,639,655,597,412,
958,681,805,759,252,071,409,350,289,410,711,001,591,577,493,304,107,822,592,
772,264,721,674,781,820,947,420,736,326,419,226,111,451,073,437,609,679,264,
996,183,389,185,934,456,734,820,780,534,434,992,282,854,318,648,561,501,858,
784,825,376,001,725,941,402,883,628,699,415,451,471,874,673,214,440,558,938,
572,195,280,940,223,757,058,135,775,220,391,238,114,947,795,478,085,011,456,
988,266,117,010,888,632,712,530,804,020,138,703,539,761,533,526,670,125,096,
240,098,332,563,163,315,778,675,784,839,194,066,924,180,946,212,873,404,865,
179,146,087,580,129,439,681,834,732,672,873,937,594,865,166,186,576,380,927,
173,388,143,185,953,837,847,038,907,004,135,184,718,295,595,856,975,218,185,
415,988,486,898,350,720,168,880,474,170,962,440,750,059,662,392,430,384,640,
790,403,048,281,949,295,138,918,113,609,003,986,306,773,341,146,710,043,142,
174,571,019,992,007,394,818,130,066,312,016,816,345,429,422,725,454,226,729,
885,370,021,409,945,214,176,362,414,325,430,398,242,654,122,928,810,110,317,
115,637,144,178,235,603,025,852,869,210,433,649,218,144,293,040,132,124,133,
178,078,450,440,899,188,036,632,375,517,766,299,682,640,710,920,648,197,889,
402,782,402,297,373,811,056,044,366,672,161,784,516,571,181,820,704,401,639,
581,195,243,868,046,107,606,437,190,267,838,770,185,728,037,619,506,585,519,
346,681,260,155,453,425,851,665,650,269,358,004,429,105,448,080,072,642,311,
140,650,187,692,057,801,529,242,447,378,186,702,763,740,150,193,318,363,399,
627,263,870,754,667,888,494,859,993,605,671,453,276,315,407,799,305,786,033,
151,149,300,192,222,592,868,136,554,194,415,171,127,749,850,114,853,251,170,
077,272,499,443,971,698,657,867,570,974,539,451,872,277,659,078,156,465,348,
571,709,289,867,140,697,562,967,053,508,275,816,389,502,014,740,507,857,331,
361,721,947,243,104,522,148,347,085,105,101,950,636,552,835,543,537,234,921,
349,276,256,152,916,225,645,071,485,301,094,163,323,883,556,751,454,709,490,
724,922,496,294,418,294,151,557,748,641,851,178,868,432,176,788,977,678,668,
737,042,525,646,996,932,867,805,200,006,299,533,144,317,225,937,282,000,114,
363,976,638,642,362,995,695,998,691,978,549,859,182,247,944,644,954,769,840,
852,183,584,849,463,737,149,573,204,619,629,463,998,162,767,067,125,390,759,
789,088,711,499,432,613,073,644,258,667,296,954,013,381,401,540,949,177,555,
197,231,648,707,568,959,064,048,146,423,830,671,522,797,250,010,458,540,042,
036,097,643,390,543,860,273,201,614,715,718,185,491,155,990,699,310,067,500,
714,285,609,236,491,295,838,903,070,094,262,558,631,924,546,506,772,572,054,
323,995,687,975,236,578,996,820,332,368,498,259,713,882,920,183,289,677,565,
895,075,541,582,018,720,294,369,022,760,847,729,617,855,925,850,802,397,769,
248,229,250,564,468,614,713,473,712,030,745,662,820,606,747,661,144,581,740,
720,960,447,539,144,914,377,724,901,594,179,090,720,012,136,767,909,827,198,
937,381,446,821,643,676,356,622,987,738,258,090,869,156,647,424,036,442,315,
246,148,978,268,128,490,555,439,060,722,438,203,766,929,352,606,019,773,964,
656,021,411,178,346,737,215,711,270,362,135,615,785,077,392,385,420,127,590,
929,193,146,416,463,902,417,488,329,209,038,298,969,164,805,676,576,178,696,
381,833,008,201,388,443,035,436,032,689,015,365,635,512,555,205,606,442,335,
500,379,426,517,083,372,402,028,710,461,384,874,863,548,876,754,581,782,744,
252,525,658,432,856,323,174,260,975,427,329,440,735,056,898,724,246,281,900,
285,716,503,897,997,230,334,629,080,736,889,314,048,336,305,559,011,185,045,
504,691,820,774,324,785,124,945,274,622,758,234,371,845,066,552,262,796,552,
739,869,133,152,989,943,782,409,773,776,304,274,557,539,142,264,487,947,751,
401,447,572,784,739,676,680,481,494,544,648,197,091,864,241,147,960,214,434,
692,395,894,065,086,275,322,273,906,927,452,303,073,997,262,373,442,447,213,
545,553,702,748,122,271,438,345,669,896,259,630,383,210,823,083,832,626,534,
234,229,739,863,112,117,435,185,570,337,616,559,643,377,480,531,334,842,844,
989,707,401,843,890,585,223,991,070,114,306,831,765,881,202,460,748,354,601,
784,012,310,786,007,654,065,851,437,391,468,658,642,319,515,622,120,947,506,
823,354,448,044,176,816,707,874,346,820,093,517,128,655,769,495,255,966,170,
197,826,761,840,679,637,418,670,833,819,319,877,356,941,834,968,724,911,807,
856,904,580,376,422,851,209,772,277,090,058,361,153,142,630,911,972,816,282,
011,834,992,988,658,068,808,422,738,726,354,394,223,292,542,646,207,916,510,
802,518,901,820,942,538,851,202,915,714,494,311,496,764,865,674,595,629,637,
444,003,340,733,293,320,007,063,938,746,935,892,447,002,224,229,245,318,149,
968,516,847,634,489,840,504,302,549,313,481,990,547,716,339,308,238,758,292,
069,968,016,499,174,145,493,588,140,240,843,634,453,137,943,084,264,818,730,
474,572,440,638,328,685,900,592,376,861,167,492,967,668,081,680,323,997,178,
354,090,467,225,658,989,050,755,391,988,247,393,707,375,708,589,156,801,089,
354,661,664,291,665,999,890,869,813,299,598,647,054,990,309,880,738,520,888,
703,682,617,394,943,099,422,632,168,228,351,798,816,196,986,703,328,018,928,
766,978,739,650,762,181,395,072,174,291,863,780,883,586,100,672,575,728,477,
893,433,680,534,209,731,096,403,735,139,264,162,516,436,542,660,187,310,214,
570,368,224,524,753,022,095,691,097,969,315,036,026,126,094,150,477,836,237,
696,633,029,695,982,602,654,652,823,134,639,572,453,464,577,028,776,936,245,
078,676,845,607,420,600,038,461,770,441,087,086,063,320,136,833,462,385,846,
299,337,947,921,387,999,084,286,385,390,374,771,036,777,746,680,703,961,401,
644,110,631,365,120,625,532,802,419,652,075,940,383,094,837,177,855,666,510,
532,821,799,175,078,483,065,941,497,097,129,538,407,606,702,389,892,353,779,
902,967,000,897,327,389,580,924,264,499,019,795,699,431,395,873,424,770,782,
030,676,949,888,822,284,363,418,067,485,753,332,898,948,506,084,897,517,595,
432,148,533,798,956,026,145,089,327,732,321,285,766,497,368,442,118,561,504,
728,900,717,685,576,715,872,673,611,420,597,009,155,858,353,423,195,872,904,
526,118,039,679,167,445,720,684,366,501,731,285,964,299,877,573,642,844,687,
777,873,122,985,486,379,175,734,415,276,045,381,810,349,026,940,821,820,188,
641,396,514,848,232,641,935,068,812,411,267,652,647,130,363,402,466,731,768,
086,131,830,394,421,390,036,165,313,754,670,665,470,222,937,546,455,499,835,
508,812,722,245,629,049,944,781,909,087,656,163,555,741,278,029,199,588,806,
201,014,194,836,393,857,389,477,597,485,673,107,239,685,233,402,381,351,125,
763,328,593,682,535,465,413,834,175,253,296,563,796,826,241,855,855,377,587,
479,621,083,792,879,351,655,724,900,367,566,774,266,960,975,579,501,777,911,
826,303,845,976,704,685,626,542,186,121,400,032,331,102,189,769,092,010,733,
059,770,902,788,653,733,037,368,524,128,471,129,048,844,593,507,880,275,302,
471,803,527,592,809,086,165,431,210,178,837,118,887,896,874,537,795,562,622,
089,791,104,543,759,242,142,696,162,892,035,995,661,367,829,661,724,228,350,
278,626,080,280,167,870,050,912,255,855,943,407,515,811,636,545,006,844,247,
287,740,842,091,468,657,136,505,392,752,898,542,640,220,602,762,600,559,462,
653,331,841,342,467,170,775,026,185,773,896,226,048,772,008,434,625,852,603,
204,234,900,922,263,158,621,462,520,003,705,893,800,034,915,609,462,635,098,
886,279,820,986,500,210,374,351,381,068,382,021,820,004,291,297,076,105,600,
096,353,724,171,185,313,917,508,408,059,382,283,023,309,644,844,936,552,591,
194,546,724,630,363,541,637,644,279,073,473,632,610,618,455,156,117,858,559,
295,437,647,400,973,742,898,500,680,506,305,681,507,950,533,725,727,695,521,
283,387,909,596,986,674,709,328,979,193,849,847,232,638,338,455,442,544,499,
343,226,394,984,618,384,410,318,090,804,604,666,231,699,935,813,708,731,426,
547,171,517,199,858,213,441,094,321,054,886,350,355,162,072,060,624,085,933,
250,583,298,813,394,977,063,915,143,591,647,647,158,920,663,580,996,939,522,
568,879,812,497,162,358,064,651,496,606,285,338,801,189,640,362,054,284,314,
767,972,365,621,019,069,875,616,516,396,842,958,212,161,285,991,184,116,161,
792,530,121,175,787,815,461,559,713,367,508,522,463,162,362,475,302,792,882,
478,609,240,379,955,486,364,978,498,612,166,028,944,114,886,469,857,951,042,
413,020,825,903,781,502,247,702,575,346,257,675,397,514,334,301,728,536,941,
473,648,409,759,589,279,713,651,264,365,941,683,377,969,276,574,034,878,429,
546,804,287,613,476,106,383,322,964,275,547,824,532,778,070,368,392,268,415,
750,170,873,874,374,607,789,345,052,308,295,663,494,497,666,480,372,775,999,
498,909,318,061,201,678,215,469,948,731,337,466,314,168,443,372,844,661,209,
311,642,238,738,991,990,891,614,042,355,023,217,672,561,994,832,586,973,587,
997,331,201,101,279,458,499,906,002,212,394,217,774,022,893,132,182,680,114,
687,416,039,129,540,780,754,001,411,667,164,628,717,651,793,467,082,179,037,
810,787,477,368,923,231,022,012,145,611,434,273,122,740,366,592,823,201,925,
982,948,436,229,872,206,610,142,886,836,836,364,129,500,837,517,573,605,549,
538,501,378,789,988,167,390,846,979,548,567,551,635,549,439,270,657,414,360,
056,195,401,700,268,217,351,919,264,593,897,251,597,962,363,230,888,510,233,
176,605,229,653,107,683,857,704,907,674,407,393,646,771,730,282,095,578,411,
158,025,520,060,024,083,957,722,068,252,458,433,583,129,327,316,011,287,801,
699,499,908,486,879,360,565,149,895,318,070,279,627,458,938,175,126,491,351,
040,613,096,738,103,552,001,994,483,448,289,936,761,783,665,619,781,698,293,
753,615,833,596,979,549,364,282,832,496,062,705,676,341,228,412,895,645,091,
640,552,157,716,634,300,762,060,324,901,006,258,613,056,052,771,682,436,841,
886,702,642,187,837,708,928,695,157,484,214,919,751,986,734,687,527,325,043,
845,770,708,850,703,326,723,053,976,920,916,714,322,392,390,972,740,565,705,
900,741,255,125,613,128,879,724,526,834,044,205,478,316,745,561,350,507,571,
185,942,044,592,015,615,272,162,671,759,365,351,886,163,366,550,522,857,689,
705,160,651,442,280,065,443,420,851,416,577,021,610,180,979,098,213,421,123,
049,327,759,924,620,911,050,476,147,568,155,435,781,390,509,633,486,186,747,
381,138,746,285,430,224,775,748,699,790,552,386,424,319,139,532,458,126,013,
152,935,751,738,196,256,522,533,785,384,963,274,597,902,565,626,976,816,503,
680,630,439,801,031,762,347,334,106,981,024,350,686,100,678,349,187,562,031,
249,620,988,000,925,572,517,392,916,797,244,355,936,679,055,260,843,677,588,
028,618,379,685,975,150,887,872,717,822,787,220,577,301,145,425,186,991,647,
321,807,124,087,902,775,259,013,049,843,296,438,860,242,874,750,051,677,365,
650,455,374,426,604,093,545,916,120,241,508,511,002,474,246,263,623,127,284,
381,276,993,378,505,589,137,394,517,789,548,800,806,810,328,908,110,941,517,
972,569,401,082,463,005,264,583,739,853,172,658,899,754,694,558,815,082,236,
428,790,789,350,736,183,354,277,974,451,785,197,940,182,408,974,543,348,250,
051,563,760,166,561,517,421,328,919,856,105,074,865,689,221,261,169,549,807,
093,154,478,613,451,728,142,676,086,573,693,264,490,914,002,352,331,835,608,
382,136,596,717,951,346,073,616,967,284,768,224,340,029,566,788,365,806,999,
743,112,826,892,408,917,144,116,570,072,280,756,946,642,944,604,701,948,104,
843,579,463,511,454,784,747,652,941,388,045,686,032,442,443,206,236,095,550,
307,225,906,369,285,402,225,719,503,143,824,511,181,108,146,522,620,137,740,
107,459,106,272,370,214,618,262,001,235,787,907,343,275,700,982,592,433,915,
889,874,006,643,702,197,601,443,076,430,899,391,989,059,265,038,498,606,639,
203,356,360,724,168,413,401,660,041,340,856,175,134,421,845,349,268,746,885,
885,463,395,616,925,002,375,184,705,239,067,500,739,740,896,490,234,432,761,
353,198,100,055,786,793,242,529,111,269,733,759,871,572,973,139,399,833,714,
288,928,953,024,615,492,881,033,010,015,625,576,031,750,446,195,365,055,476,
132,374,808,738,221,043,692,234,173,967,045,853,969,623,550,758,998,850,441,
572,062,648,141,123,193,227,263,639,971,537,410,544,886,659,109,267,202,194,
947,116,002,501,871,835,109,823,994,817,648,250,298,645,202,579,523,228,514,
775,996,476,670,171,482,209,762,448,449,635,789,824,191,706,874,778,942,181,
814,628,766,304,732,640,649,800,686,698,583,161,907,492,508,762,003,296,226,
925,481,396,406,902,514,799,168,162,427,380,346,925,730,738,680,472,590,855,
846,668,814,421,212,524,966,675,240,398,785,373,825,176,329,523,876,712,026,
377,137,080,116,595,589,814,412,518,538,959,287,401,597,480,910,191,881,077,
696,270,226,513,605,036,744,181,951,162,907,983,584,691,656,666,682,579,690,
078,625,153,578,149,226,786,689,690,832,446,075,293,746,889,589,705,992,340,
689,770,479,589,372,466,848,802,980,653,236,547,621,029,644,357,973,081,186,
378,900,072,566,958,825,020,305,233,651,578,858,161,525,544,522,271,098,127,
090,183,414,399,995,301,691,632,689,562,007,147,722,811,606,029,881,929,059,
327,276,446,595,362,338,262,588,206,868,717,449,599,091,269,212,241,524,983,
012,103,925,238,243,309,798,714,595,111,832,603,712,386,473,141,052,553,194,
422,174,837,730,751,870,665,565,719,572,139,952,316,199,968,212,178,850,433,
936,740,577,856,447,786,597,528,134,399,981,198,260,497,190,621,897,133,552,
141,578,391,146,448,471,851,918,023,675,454,616,783,944,603,018,091,381,140,
170,196,591,610,131,783,161,479,373,401,110,825,786,032,593,398,979,257,830,
669,489,973,321,263,137,368,463,937,736,006,579,631,314,462,876,835,415,699,
320,048,642,924,489,759,152,325,309,181,518,549,907,415,370,055,114,783,311,
173,241,890,193,970,990,099,641,183,182,340,572,231,133,327,378,250,208,002,
695,178,725,446,258,240,634,339,568,016,895,782,485,864,551,635,961,552,091,
604,489,984,947,157,871,287,080,124,767,955,676,357,410,181,001,977,670,045,
807,270,238,522,510,396,638,778,280,076,194,661,294,224,939,668,663,573,603,
381,245,182,654,123,430,982,694,831,664,651,434,234,082,454,430,217,379,379,
106,225,256,016,615,473,847,807,140,950,937,293,730,197,411,472,052,761,534,
440,286,800,065,997,203,030,430,099,755,395,528,533,886,761,106,049,765,680,
458,698,562,589,290,686,226,945,754,736,214,881,221,961,511,787,442,023,703,
301,042,352,884,512,103,597,809,487,638,025,156,242,475,041,392,260,393,121,
775,815,670,229,782,912,783,383,883,398,228,858,863,121,234,846,504,816,895,
793,252,148,940,521,367,573,142,866,651,877,663,459,582,759,030,361,577,866,
993,566,598,032,373,292,439,058,533,881,606,735,529,763,198,018,681,737,253,
706,704,202,681,829,757,402,580,358,452,963,698,098,823,075,297,958,851,211,
716,182,660,495,593,233,032,408,332,785,318,383,804,695,517,227,374,597,574,
039,023,050,899,031,324,175,950,128,939,431,019,815,839,801,754,189,847,105,
327,042,088,064,829,572,661,453,440,294,261,254,131,172,009,450,506,952,724,
974,211,391,806,200,062,286,458,543,087,794,567,119,720,049,033,110,307,808,
156,449,477,911,121,601,903,948,698,645,179,596,416,346,073,512,533,356,736,
937,341,497,589,424,383,143,302,382,515,551,489,446,953,689,542,197,046,736,
659,674,104,619,843,898,199,771,594,709,829,077,721,884,847,184,182,710,140,
678,440,454,957,745,284,060,550,458,028,252,829,971,405,656,331,607,795,247,
512,509,538,985,914,528,699,452,197,500,307,167,649,820,813,669,855,690,635,
786,531,032,845,551,618,133,164,988,135,845,066,079,234,911,609,437,875,847,
453,749,263,918,834,229,137,008,104,684,097,880,649,174,101,793,429,428,487,
598,007,035,634,926,272,132,335,649,941,628,135,028,123,067,249,725,808,478,
510,072,898,746,846,014,148,801,101,897,580,108,715,239,835,938,843,125,484,
133,236,353,080,654,371,650,531,444,210,634,439,508,427,903,465,689,199,762,
133,556,710,758,351,609,921,540,602,821,886,805,475,353,327,197,436,645,232,
691,211,547,441,628,975,931,709,667,743,754,179,305,363,863,121,657,253,157,
274,455,826,197,196,296,169,913,703,207,354,247,305,676,983,595,746,777,196,
405,055,308,157,225,296,379,309,340,647,768,704,408,672,322,796,169,358,613,
619,429,913,226,339,542,816,844,564,633,755,882,321,365,643,122,383,668,824,
570,023,148,354,188,716,068,524,674,070,896,256,399,371,329,835,527,485,456,
018,245,444,652,097,686,199,187,934,516,258,565,918,462,274,570,415,936,416,
190,700,943,655,885,319,643,098,926,584,809,702,082,616,946,053,005,090,723,
051,558,121,611,244,855,561,148,413,260,847,097,123,465,870,738,756,831,011,
858,050,976,406,968,642,260,035,166,889,365,105,027,208,077,264,045,596,661,
055,417,707,577,623,187,836,335,914,308,638,506,558,283,968,378,980,479,475,
393,304,703,842,454,847,254,599,692,469,915,286,951,693,755,083,501,143,247,
413,573,779,823,514,536,434,407,478,829,117,150,886,854,016,087,178,453,754,
640,687,594,114,515,009,969,608,609,267,756,486,857,583,606,004,383,407,075,
448,379,854,025,021,979,519,991,377,278,398,245,079,759,747,279,359,805,434,
544,016,455,141,584,760,804,999,828,260,601,504,194,246,690,664,050,365,158,
615,805,788,336,195,892,423,953,022,086,263,448,383,605,269,020,697,060,750,
396,560,826,628,028,500,606,979,632,526,396,135,639,904,870,396,464,874,240,
219,354,678,847,594,516,848,345,140,851,020,066,398,554,298,830,072,643,675,
142,844,599,868,497,978,149,092,022,630,803,212,887,679,818,639,142,254,685,
078,631,384,213,524,401,844,636,820,176,358,916,015,268,078,441,861,081,248,
928,025,811,936,924,014,157,788,815,497,240,262,966,034,109,397,711,067,579,
972,942,186,383,400,477,461,656,532,514,233,893,886,189,866,445,439,709,338,
863,496,901,983,606,045,024,598,621,158,437,980,692,971,776,854,562,489,468,
522,848,413,057,140,912,461,301,015,474,406,221,808,680,763,885,489,135,622,
554,379,582,859,093,641,497,091,560,089,720,203,730,963,589,758,442,208,747,
820,267,882,734,353,715,740,448,835,139,538,025,515,506,865,260,280,388,006,
410,271,342,939,194,095,042,197,103,934,618,861,556,204,448,478,593,734,852,
221,698,900,026,555,249,686,852,072,502,004,900,994,063,679,377,628,034,404,
029,881,481,075,858,535,798,845,069,398,327,906,403,219,498,324,688,647,910,
506,833,340,493,825,937,766,510,240,202,481,215,997,319,979,863,177,374,790,
676,219,954,563,228,881,668,559,048,270,438,411,851,704,841,036,834,295,493,
860,382,541,647,170,957,953,082,390,593,580,510,551,788,570,296,971,607,754,
431,651,617,173,487,808,414,703,373,272,040,116,921,646,107,301,840,154,404,
871,621,507,609,263,179,798,010,836,780,875,072,901,822,166,171,932,001,904,
312,455,556,124,100,968,245,150,141,146,214,477,330,125,584,974,381,533,321,
326,386,064,511,196,346,727,674,890,416,910,491,451,828,905,407,481,454,217,
712,353,462,265,659,736,874,423,684,580,256,214,840,801,980,612,566,431,468,
321,185,929,659,069,542,714,090,311,724,751,302,500,806,864,598,804,861,980,
954,575,313,410,322,636,039,447,834,102,956,826,879,910,498,864,162,014,903,
507,600,782,968,496,213,764,658,242,149,967,518,196,521,878,133,457,429,670,
268,336,925,170,749,506,321,233,472,379,809,047,460,688,804,704,197,259,087,
826,659,718,185,563,418,073,763,760,217,875,239,569,852,100,525,930,875,718,
542,580,580,632,155,423,544,984,780,088,844,679,627,576,536,810,558,192,499,
620,835,232,133,969,735,689,764,918,707,046,411,761,238,666,781,762,418,899,
268,113,807,194,060,618,635,260,687,173,700,259,958,420,919,063,858,511,840,
543,031,506,067,090,611,330,697,271,981,022,251,521,968,520,989,894,685,786,
988,037,274,153,416,203,843,017,731,680,542,765,501,942,370,978,060,564,142,
652,673,606,969,307,892,067,663,658,030,468,432,814,980,441,966,466,663,575,
056,130,361,677,053,068,711,888,460,588,611,773,650,383,064,628,707,337,757,
576,920,018,066,984,286,807,642,746,339,266,229,708,629,508,619,422,870,882,
941,446,504,493,501,718,521,509,191,840,658,435,165,719,879,996,729,387,245,
427,997,179,344,330,813,502,532,924,255,816,161,078,426,265,267,375,046,848,
043,545,502,928,248,248,411,029,802,555,213,233,135,172,060,299,308,815,075,
095,890,673,145,132,337,909,635,959,685,139,868,295,262,907,092,809,565,824,
470,757,236,270,352,482,073,502,926,114,399,675,439,186,348,474,463,011,491,
370,560,471,065,845,247,821,223,232,411,549,944,192,119,517,724,502,220,930,
479,229,105,561,088,262,214,925,144,029,902,449,906,672,318,791,287,881,358,
930,833,259,387,300,947,478,334,551,957,295,178,055,117,917,189,890,848,283,
285,819,008,141,668,165,304,361,304,778,727,637,111,433,826,797,758,163,289,
084,546,244,175,756,986,711,613,356,166,869,939,958,283,632,809,433,006,843,
561,355,149,794,644,861,179,695,787,367,828,996,382,802,822,915,589,192,301,
103,998,145,468,392,596,320,397,165,249,525,053,527,787,055,929,186,568,720,
830,679,355,114,296,730,104,771,360,816,273,573,733,192,651,927,120,331,368,
387,932,887,869,824,650,234,189,892,020,165,373,265,437,009,895,050,602,764,
660,199,719,001,123,800,695,013,714,767,725,762,621,842,827,369,290,572,694,
091,144,274,111,113,279,799,828,363,114,429,673,591,440,613,228,409,018,603,
900,578,556,420,949,807,255,127,735,064,865,063,182,043,911,578,275,248,531,
120,672,054,293,724,307,282,125,784,741,561,171,127,576,151,957,649,695,894,
950,076,607,109,902,384,816,198,232,854,739,832,485,896,618,679,204,113,320,
947,532,024,685,825,370,490,826,036,705,612,353,460,431,284,498,859,527,965,
586,845,402,808,139,705,183,689,421,473,715,107,254,984,558,489,252,954,685,
895,512,657,570,415,555,785,259,049,980,283,521,666,770,186,053,857,967,162,
993,481,384,362,561,722,882,271,274,020,347,555,282,736,781,816,380,685,701,
447,724,896,079,110,329,077,270,840,545,273,908,517,247,122,298,676,854,923,
869,184,972,107,378,050,350,558,865,563,770,551,829,199,099,842,522,021,097,
467,797,387,367,666,150,533,711,053,778,025,626,179,876,360,958,818,787,501,
964,495,220,189,892,660,591,951,650,224,860,222,951,840,152,290,595,367,688,
813,294,628,589,061,240,067,157,466,182,404,125,672,457,433,412,274,489,722,
832,207,686,161,160,520,374,890,774,345,329,129,043,099,791,357,077,515,099,
095,552,871,177,438,145,333,521,442,160,988,769,103,184,062,867,145,799,635,
195,832,458,894,325,442,371,778,275,993,530,684,935,151,132,998,628,233,759,
669,373,020,279,036,609,965,872,664,689,467,023,772,836,663,276,180,985,163,
068,296,525,191,363,177,960,512,272,339,296,465,509,111,937,476,641,977,377,
647,664,726,212,648,955,797,289,207,651,266,821,777,108,544,247,737,739,890,
657,272,532,256,868,390,814,552,885,438,882,158,774,926,837,405,866,659,762,
678,591,044,818,790,459,416,781,114,935,641,641,449,727,312,670,718,761,448,
220,142,693,146,024,220,142,643,544,191,074,567,914,322,907,504,194,039,020,
721,431,233,219,745,883,498,593,059,365,910,355,243,937,055,135,830,649,154,
986,570,883,769,338,226,276,011,357,261,274,950,131,682,848,867,252,240,316,
125,368,995,849,004,112,969,876,518,143,292,197,759,991,214,408,045,922,358,
504,672,139,328,245,632,137,065,162,125,796,779,799,819,770,566,551,708,752,
914,198,772,107,061,326,294,447,504,652,109,177,897,680,421,511,251,551,172,
326,236,153,277,249,612,943,432,868,872,859,040,439,965,789,463,546,236,034,
715,934,157,335,989,853,498,396,212,344,816,736,701,150,744,036,033,992,017,
520,321,117,090,972,036,367,244,762,302,281,788,792,828,935,108,527,692,710,
489,779,623,630,622,480,896,512,219,840,213,848,147,844,815,594,244,538,136,
851,963,829,264,136,488,860,437,342,654,073,076,256,853,855,375,649,469,244,
588,658,970,721,891,699,709,531,526,368,743,979,884,366,661,365,004,262,844,
324,790,975,472,685,605,118,688,298,556,286,419,045,119,857,558,187,968,156,
847,828,023,584,594,112,329,673,310,623,906,510,400,175,411,858,038,877,132,
914,954,410,070,865,328,752,012,320,091,870,268,855,108,999,953,800,388,123,
474,724,478,470,160,053,521,687,930,622,052,378,387,888,827,659,500,055,575,
800,165,120,471,013,895,665,136,014,475,769,852,486,539,090,098,886,402,744,
545,616,897,255,535,142,506,775,749,970,073,453,691,039,230,681,608,710,506,
649,949,396,589,134,651,549,593,232,298,728,998,166,025,525,301,043,889,969,
821,738,665,670,146,001,377,826,013,571,452,114,427,910,515,306,369,459,108,
982,468,716,395,722,167,564,695,594,503,046,603,659,321,536,680,106,569,105,
955,524,070,175,900,753,387,579,661,584,437,173,402,794,791,107,083,528,672,
845,256,639,668,417,879,624,801,954,903,452,318,999,563,552,069,357,712,990,
133,119,524,657,003,968,634,988,099,957,401,117,897,165,856,725,790,782,148,
023,639,198,740,064,520,390,326,724,457,070,733,139,135,741,708,098,691,344,
015,698,736,617,396,467,233,570,476,755,129,323,052,193,715,450,268,869,059,
329,998,255,275,605,662,307,022,354,488,752,503,499,058,558,317,634,756,469,
542,955,870,824,036,744,705,654,497,472,291,980,219,222,907,605,775,431,452,
658,484,050,046,554,692,080,816,842,731,543,021,995,219,006,450,219,786,231,
262,382,707,668,421,478,544,449,773,465,617,985,172,325,441,766,086,945,330,
416,433,387,522,411,646,925,165,664,866,178,413,156,596,927,948,499,633,657,
591,946,956,593,526,520,412,824,260,525,721,685,030,312,995,092,509,098,600,
005,385,180,106,175,150,702,259,935,704,446,930,187,948,329,822,654,269,322,
284,158,238,523,620,956,043,901,469,176,704,841,683,724,185,087,049,744,462,
464,551,233,852,659,451,136,748,990,510,835,842,635,137,313,978,610,228,058,
508,380,179,651,978,731,047,349,353,700,441,485,249,425,280,801,221,842,687,
684,688,299,898,027,778,136,969,847,397,760,965,275,158,834,615,842,382,412,
236,875,850,751,068,571,152,632,460,245,623,264,885,078,453,172,190,037,380,
594,059,924,756,651,553,545,230,807,921,714,096,453,521,570,257,178,070,094,
187,931,581,141,785,906,661,715,174,382,223,045,914,941,330,329,094,238,358,
474,349,748,953,944,786,940,687,315,021,480,308,706,152,331,037,883,201,144,
274,974,875,446,193,806,388,374,582,448,944,451,224,731,956,209,127,931,543,
265,793,064,522,146,568,636,536,177,004,875,208,517,499,040,415,507,093,191,
723,075,226,184,289,724,183,429,503,409,575,433,657,512,659,290,725,576,383,
772,573,169,572,103,674,816,247,085,778,072,360,417,954,581,888,223,659,368,
907,807,630,264,329,696,565,345,781,190,988,498,687,485,569,628,742,542,733,
223,234,778,187,801,378,825,032,282,692,574,507,543,070,300,157,258,410,581,
228,166,926,894,972,564,357,627,574,808,958,636,208,297,060,816,717,938,219,
793,903,793,384,299,260,354,911,210,704,500,290,899,805,736,860,311,182,794,
166,027,100,086,567,058,805,111,924,875,740,430,285,578,887,179,787,551,599,
728,225,847,449,431,121,207,642,618,610,559,107,500,649,667,426,446,616,655,
013,108,809,575,246,577,869,814,085,999,761,375,881,234,449,827,959,398,202,
080,513,274,272,526,588,372,976,459,356,320,779,548,241,171,891,579,760,390,
725,685,740,512,543,063,156,892,339,980,134,443,268,275,800,817,913,790,814,
275,120,478,198,657,684,482,480,028,220,178,080,170,791,328,050,814,989,816,
614,680,706,633,577,625,019,164,690,843,487,255,976,125,113,052,101,616,017,
518,942,173,227,777,273,203,635,042,584,939,512,412,330,896,803,561,930,795,
394,500,901,796,945,029,978,661,621,258,127,363,902,913,958,995,281,286,422,
073,159,770,760,104,555,080,184,839,598,838,476,783,346,159,521,313,689,922,
108,979,718,344,745,365,744,832,715,105,268,556,168,520,511,423,308,781,458,
476,644,017,471,871,094,752,449,232,183,155,452,833,212,400,159,519,597,278,
668,087,922,010,920,424,678,556,498,878,697,310,603,867,396,705,583,735,232,
828,296,672,247,895,579,067,531,403,655,948,732,899,760,928,806,381,210,381,
072,941,170,878,957,505,510,134,416,043,289,160,756,230,640,339,675,428,687,
662,758,741,853,235,337,606,249,272,484,737,451,055,076,587,511,073,769,987,
190,166,700,118,898,615,487,611,872,243,854,663,834,510,910,977,225,007,773,
104,889,371,836,488,450,330,544,930,468,924,995,528,716,576,794,891,286,456,
358,735,246,854,664,971,179,192,730,719,029,260,261,030,530,980,242,261,577,
649,235,314,453,922,789,182,375,798,931,240,406,859,864,785,975,933,031,327,
721,945,136,390,932,400,982,500,666,755,646,427,617,360,256,250,218,206,236,
030,926,374,800,942,688,113,926,545,743,634,257,605,804,679,021,696,969,054,
862,271,472,350,276,319,464,100,722,693,059,856,042,997,052,273,745,727,545,
144,004,198,606,395,365,743,689,612,335,312,446,013,892,153,776,720,258,907,
294,484,274,920,900,689,216,415,233,324,423,403,760,631,129,064,446,161,215,
468,764,396,358,281,474,364,057,672,056,175,513,859,757,786,535,766,661,770,
914,255,199,676,848,935,743,809,254,064,453,419,695,543,245,598,349,440,879,
825,905,007,238,897,759,636,955,928,668,238,215,866,038,249,793,392,077,125,
894,460,510,747,566,055,729,072,302,644,348,794,311,402,841,605,951,824,173,
995,707,725,599,865,787,029,688,919,416,862,937,574,180,377,732,374,498,168,
900,368,262,468,429,380,177,630,604,752,605,559,788,264,689,346,864,571,305,
253,644,229,588,122,244,441,161,657,155,422,132,228,959,394,380,900,935,029,
133,777,701,032,300,534,780,663,496,156,889,906,845,860,856,102,147,316,888,
821,463,029,394,675,358,566,396,341,455,146,751,158,541,715,332,894,530,510,
743,928,841,770,593,819,893,641,359,627,755,972,184,951,294,810,252,795,241,
110,121,961,001,814,112,228,499,605,046,961,300,604,348,288,506,268,814,860,
176,015,661,278,555,484,931,140,211,795,021,566,559,412,109,044,292,243,582,
763,547,548,080,710,029,142,191,764,107,938,237,155,085,284,235,579,871,906,
750,296,441,803,802,816,120,007,604,996,516,671,782,661,011,336,423,927,212,
910,898,055,962,178,291,052,816,937,528,872,551,415,796,966,581,253,331,376,
799,893,119,478,733,739,862,259,165,257,018,725,137,837,139,169,117,403,883,
044,083,545,884,694,128,207,580,132,372,656,538,037,591,179,622,869,847,312,
653,142,545,347,215,156,331,425,482,692,266,014,497,805,452,726,347,908,727,
703,476,135,865,528,677,523,825,942,343,328,371,297,493,689,704,226,956,269,
074,828,987,199,814,561,392,784,858,094,101,456,631,151,659,079,012,214,045,
490,262,661,860,318,430,125,883,016,748,569,495,376,546,447,054,937,366,853,
256,279,419,324,676,010,314,953,318,425,532,857,817,332,864,238,710,595,623,
689,895,212,774,631,428,350,256,828,629,618,967,762,933,834,548,500,175,217,
255,298,470,745,035,757,444,411,140,991,091,640,763,856,342,917,338,832,665,
509,431,059,601,592,466,368,271,129,543,109,634,985,346,305,339,968,414,633,
317,077,906,668,327,672,627,107,814,652,884,515,039,862,231,474,032,953,751,
627,129,947,826,149,046,495,737,900,310,168,227,730,710,551,617,642,340,032,
719,589,612,448,306,390,630,674,291,612,805,531,721,492,417,265,673,127,739,
786,067,102,642,326,116,102,153,830,933,862,980,100,313,694,290,575,066,319,
694,945,635,429,930,259,280,666,494,732,085,997,186,400,700,869,458,051,210,
697,867,571,900,212,276,743,741,167,744,237,018,312,942,571,460,968,946,257,
317,269,572,800,527,056,029,690,451,624,399,768,186,525,355,006,740,479,387,
069,471,068,894,550,609,561,181,951,184,856,647,993,044,253,758,174,466,945,
594,611,801,566,114,385,173,598,882,190,123,851,385,565,592,276,436,467,513,
473,246,408,874,553,372,026,852,417,259,946,648,889,291,335,140,607,944,617,
148,034,116,498,086,439,902,183,783,975,881,057,580,117,019,491,052,757,801,
297,018,341,330,607,088,692,599,795,546,086,970,455,490,299,847,198,983,827,
943,447,836,865,752,406,847,882,864,369,912,833,589,110,267,273,834,533,867,
936,724,456,762,274,219,125,949,194,059,470,300,818,481,440,520,217,741,843,
643,608,261,494,205,006,198,396,275,783,753,521,311,482,024,903,459,543,022,
769,368,610,243,145,413,358,814,531,211,399,264,787,386,838,183,212,284,528,
144,541,221,031,611,264,350,874,648,415,453,621,255,631,047,634,040,265,142,
048,251,678,271,520,965,931,533,087,277,614,232,292,730,865,786,259,072,397,
088,509,427,396,909,056,274,660,814,319,047,309,317,549,752,860,023,444,787,
926,983,031,677,262,350,680,012,076,520,987,936,505,773,288,822,405,380,701,
783,954,282,365,750,202,638,247,886,064,341,639,908,303,947,024,920,091,600,
475,033,198,228,463,317,887,218,352,270,092,973,737,556,535,509,347,931,305,
921,413,419,665,665,254,605,845,584,910,076,880,548,338,903,927,115,316,387,
862,145,450,961,994,935,766,560,120,135,481,562,450,013,072,746,192,388,648,
350,434,059,949,579,356,225,359,266,657,524,378,612,361,256,036,806,899,908,
054,938,669,074,596,145,769,841,413,174,202,517,729,470,656,175,539,664,923,
295,064,249,820,364,906,779,514,429,092,805,310,883,363,129,612,960,832,394,
319,386,790,234,629,136,673,155,546,389,928,606,293,842,999,600,455,715,196,
406,205,123,266,825,901,763,178,394,986,762,435,306,031,609,678,761,896,229,
551,696,413,912,347,593,611,631,358,665,679,849,159,743,884,105,393,238,779,
914,692,903,131,060,605,236,238,603,825,576,106,479,196,847,157,690,755,613,
269,406,952,806,282,687,452,448,794,524,721,896,084,489,727,254,280,253,783,
722,410,903,007,650,925,436,853,880,463,783,004,496,336,212,407,110,336,500,
859,807,767,280,852,448,134,542,858,635,285,824,013,575,052,444,973,333,590,
553,881,058,638,410,657,735,189,414,760,555,496,765,393,510,936,846,385,739,
896,929,735,272,700,869,149,857,188,199,002,424,591,099,294,969,259,878,916,
457,629,672,421,192,171,638,262,848,964,850,989,168,967,952,543,433,424,941,
196,965,971,277,094,334,106,650,017,564,728,475,947,149,766,442,617,342,209,
560,694,391,109,981,986,115,033,820,116,326,854,822,303,617,416,760,943,837,
439,711,575,720,137,888,338,862,509,934,926,090,434,574,890,308,659,034,982,
944,810,278,403,944,982,883,257,073,988,416,233,080,295,859,189,611,376,401,
274,798,381,264,445,632,014,064,349,638,639,047,478,351,038,156,623,312,169,
793,320,616,316,006,339,151,906,958,338,465,337,140,256,657,382,183,026,959,
592,439,146,938,156,916,318,296,717,627,226,455,391,206,206,644,814,757,500,
600,107,442,496,650,952,736,976,364,117,046,128,095,815,456,239,204,781,188,
116,712,078,172,463,785,795,552,711,440,357,540,374,607,777,202,508,528,147,
708,075,314,781,481,606,252,470,676,390,591,359,780,888,645,140,361,994,742,
199,382,299,422,120,939,515,252,676,829,398,564,671,189,463,754,027,815,009,
533,073,595,785,565,621,416,112,717,159,243,392,060,192,217,719,133,143,309,
619,378,728,179,926,475,659,705,108,740,389,600,087,605,317,791,158,763,485,
051,939,650,653,379,751,840,548,422,461,099,163,818,619,119,157,466,116,248,
396,301,040,614,964,946,454,898,874,972,499,969,133,464,541,744,143,030,455,
973,843,594,533,810,441,994,732,278,721,416,121,035,159,071,689,732,474,002,
903,336,847,981,480,720,441,110,031,787,358,912,502,611,197,330,572,374,183,
015,587,517,635,532,299,238,076,717,886,417,503,585,896,274,106,701,169,062,
367,425,876,865,239,233,021,697,532,569,242,619,142,069,792,015,701,947,135,
821,326,928,962,752,808,505,341,216,412,889,989,506,091,362,462,898,755,786,
361,819,980,262,423,160,172,667,549,799,210,516,482,474,398,952,222,682,898,
900,449,469,493,766,939,718,687,364,855,758,942,318,688,373,070,419,573,687,
982,214,388,665,704,823,524,677,988,151,366,308,675,222,021,017,965,995,130,
615,638,660,862,884,083,457,534,223,792,660,095,649,273,222,347,311,176,144,
867,275,839,071,981,544,452,829,573,384,504,096,424,662,355,605,726,125,704,
632,211,339,846,176,221,237,785,893,181,372,481,534,098,301,587,474,171,396,
641,795,020,174,185,412,515,165,892,457,690,339,825,957,046,650,849,309,128,
417,112,598,469,725,577,827,121,353,655,570,718,398,642,560,897,316,285,745,
239,586,329,533,844,130,850,748,923,625,322,901,689,931,825,737,352,306,547,
280,240,711,569,078,738,127,927,628,325,972,487,105,521,125,469,578,849,582,
297,278,278,958,979,332,790,279,410,589,395,713,656,520,184,987,652,858,487,
628,015,528,863,398,643,256,841,041,740,025,639,356,009,238,647,208,086,466,
011,248,141,337,486,296,602,898,249,908,473,310,747,197,064,790,034,729,363,
300,488,549,351,501,016,270,597,039,934,297,585,117,518,705,627,189,633,268,
465,496,488,037,459,537,206,505,868,521,302,065,474,721,405,223,665,807,199,
978,379,109,596,847,776,429,999,153,054,409,368,963,428,707,238,649,195,398,
236,218,604,060,222,880,238,968,409,888,984,946,630,756,627,294,465,092,822,
168,275,430,485,859,007,582,694,057,877,703,468,939,664,162,794,247,824,337,
995,202,823,277,741,288,827,295,140,182,864,027,351,245,582,703,647,408,118,
120,731,171,397,978,712,504,477,223,406,504,777,855,593,806,715,631,512,989,
058,696,782,840,430,681,098,855,100,436,447,369,243,571,812,204,110,507,506,
398,835,357,410,753,910,860,365,414,070,611,684,925,530,612,253,669,874,486,
587,104,378,835,988,166,761,318,257,966,751,959,774,392,410,667,962,205,961,
983,288,610,027,386,558,951,093,154,255,952,364,452,822,559,791,621,795,881,
274,857,284,870,274,047,870,454,075,954,892,734,191,900,944,339,459,631,706,
729,930,940,993,884,956,588,993,440,315,996,879,936,296,589,446,352,782,159,
103,359,985,695,688,702,599,980,040,020,238,374,063,249,803,274,555,147,656,
848,023,068,159,274,711,850,385,278,219,579,364,374,850,158,244,763,223,098,
279,160,688,787,797,855,672,105,466,534,150,303,263,704,149,112,620,832,985,
111,866,846,583,374,434,546,962,244,483,298,030,525,527,071,790,150,116,983,
444,003,886,507,870,661,414,916,930,640,674,422,654,717,485,055,838,205,989,
728,404,262,280,751,223,374,052,092,221,884,107,821,214,153,187,084,063,972,
479,914,652,924,687,809,396,049,267,961,639,352,285,302,897,209,201,628,503,
766,776,152,347,569,613,547,263,492,007,788,672,419,299,686,911,420,900,389,
969,327,037,323,596,238,554,416,107,984,521,199,364,882,204,780,828,214,298,
816,268,234,503,929,902,305,554,553,969,125,583,761,296,074,477,499,331,974,
955,339,933,238,327,380,949,490,958,088,838,915,492,424,917,125,529,917,302,
343,174,343,595,664,533,629,370,845,544,810,415,978,143,861,533,693,249,589,
514,823,375,325,926,965,167,264,047,107,799,984,423,867,862,303,014,651,973,
325,659,533,320,900,031,710,353,742,923,277,157,991,748,411,889,926,643,002,
881,903,157,766,023,148,924,160,524,797,390,463,117,304,169,201,664,911,049,
159,380,057,920,342,252,443,870,307,174,112,621,163,936,737,522,780,476,428,
789,893,326,687,079,297,310,356,964,996,083,272,503,961,564,005,778,843,263,
273,120,485,751,626,786,960,304,219,186,797,915,482,555,999,600,965,827,752,
315,089,769,601,367,538,351,764,735,813,263,035,687,121,263,477,012,265,841,
017,446,723,477,346,608,739,294,775,399,056,422,296,350,905,213,095,674,735,
968,929,783,856,224,354,498,850,449,588,515,569,040,395,464,226,676,125,898,
254,537,135,479,384,086,240,103,678,580,177,269,140,689,369,749,530,550,269,
922,544,505,223,451,445,704,557,646,355,617,870,549,930,116,282,751,361,959,
208,505,278,085,615,813,834,014,891,330,500,422,699,306,773,504,112,644,058,
034,863,188,993,845,311,627,965,319,969,583,000,949,500,254,013,136,221,691,
433,160,554,981,614,232,696,735,599,896,128,068,448,812,761,408,316,105,303,
793,398,219,454,610,981,018,802,610,221,107,620,297,334,985,779,828,951,020,
255,527,720,737,278,597,402,982,137,832,734,964,512,126,519,927,717,408,376,
886,569,816,664,399,204,110,456,543,658,752,608,144,493,426,699,579,854,541,
048,521,396,691,567,436,868,441,398,996,025,313,123,807,078,695,995,550,643,
426,721,078,673,189,376,662,047,908,650,651,986,537,932,402,167,335,094,975,
482,868,797,089,582,430,305,762,038,714,326,842,295,314,792,596,106,407,947,
234,887,892,557,416,568,795,527,266,205,864,555,784,705,898,630,996,765,921,
287,799,627,748,439,290,969,110,846,183,042,253,580,292,584,175,747,960,187,
051,755,371,486,405,206,921,742,374,002,217,531,360,717,302,866,438,943,087,
424,917,301,827,696,282,132,804,039,051,059,003,347,973,149,204,372,559,159,
407,977,148,913,805,261,458,123,914,475,816,887,545,295,956,957,604,886,797,
289,806,281,314,130,796,412,572,974,578,712,880,864,131,576,397,014,606,397,
115,570,286,149,793,272,647,722,950,977,691,776,507,976,554,058,382,717,237,
771,928,310,195,809,585,492,163,171,011,008,161,373,282,822,145,438,111,362,
735,359,050,939,812,167,489,612,743,834,591,004,375,498,750,240,990,539,026,
665,241,640,723,668,665,518,461,634,375,404,482,905,538,251,618,775,182,809,
754,588,263,427,400,289,062,406,967,556,747,420,402,776,163,982,242,213,573,
473,867,436,604,803,722,164,359,610,586,892,989,568,136,691,904,077,046,484,
017,256,309,339,203,604,127,637,302,317,176,022,461,379,662,172,253,003,638,
359,487,102,785,214,417,710,088,383,368,967,629,528,728,376,384,966,006,715,
609,546,105,242,577,953,128,686,711,816,809,562,438,385,923,099,344,722,601,
368,942,084,019,590,446,420,775,281,378,739,507,366,490,559,522,937,925,999,
162,090,168,012,900,287,314,341,927,436,658,010,110,700,673,646,945,998,103,
353,028,819,831,821,667,276,499,531,887,839,224,210,294,675,046,441,082,547,
262,484,557,634,534,867,956,037,621,097,363,336,892,554,950,208,441,925,517,
832,649,732,390,476,074,794,906,569,013,320,226,079,586,316,479,807,889,159,
062,582,465,884,782,472,713,946,575,765,262,796,753,545,192,293,088,152,190,
308,868,476,272,560,214,375,262,237,820,682,772,811,635,401,332,817,677,935,
796,090,389,129,081,101,859,852,273,372,180,236,257,185,501,974,544,584,413,
653,157,786,347,159,439,520,256,274,309,421,686,521,856,251,474,118,296,563,
530,276,207,246,813,508,036,055,250,395,035,939,311,147,312,478,901,861,582,
455,649,198,032,173,025,699,335,091,789,588,957,813,638,198,813,064,653,908,
388,275,187,811,936,614,901,302,308,186,579,103,704,176,780,079,145,099,831,
112,289,529,249,537,520,217,533,092,926,984,175,321,312,589,379,881,217,859,
928,402,183,846,894,191,559,987,551,258,155,788,711,865,488,952,313,624,516,
518,404,621,757,544,124,664,003,255,500,706,908,268,147,396,172,366,060,879,
823,161,653,249,811,849,106,023,151,114,305,011,241,250,488,839,651,267,372,
528,560,933,833,280,820,181,272,506,819,074,060,584,123,844,192,508,663,179,
335,419,517,944,131,747,673,132,293,113,345,566,945,743,804,388,159,465,763,
509,904,057,378,650,930,276,315,536,237,400,054,807,566,307,996,320,104,309,
276,373,233,557,919,502,198,617,047,926,036,332,686,303,557,968,698,857,102,
844,542,787,972,584,758,679,759,404,974,177,369,351,905,317,945,124,346,779,
495,828,192,966,433,208,496,489,834,123,207,158,730,552,665,212,185,250,451,
349,236,302,071,138,155,368,620,877,277,475,725,875,963,962,076,136,979,792,
375,496,020,790,671,880,922,513,835,092,735,003,265,368,424,517,467,543,167,
786,325,529,172,929,709,635,751,824,663,377,441,554,349,437,986,460,561,773,
396,550,677,840,499,221,797,720,701,354,624,913,908,468,982,895,128,205,429,
536,790,177,115,234,760,495,427,957,412,359,583,628,754,558,683,574,876,898,
706,452,738,043,865,034,860,717,651,018,179,875,092,317,751,114,808,953,805,
823,683,481,266,610,026,202,498,039,436,569,996,259,293,237,008,290,304,047,
070,753,556,430,964,096,933,588,600,029,831,870,717,766,046,978,766,300,822,
794,824,350,878,937,131,626,194,451,048,120,467,834,858,988,861,045,521,034,
148,481,069,957,336,556,331,845,124,223,541,549,122,591,807,630,933,897,615,
568,732,150,872,765,068,738,479,454,081,891,196,709,619,853,238,331,862,490,
213,660,354,540,947,231,979,496,051,670,999,560,705,814,789,670,759,918,814,
702,069,275,271,338,829,328,253,485,772,281,171,102,471,076,204,510,151,293,
906,777,627,242,068,345,393,713,034,713,925,973,316,074,972,693,631,243,046,
118,007,019,427,032,655,250,175,190,028,109,581,078,004,448,783,335,776,019,
622,368,460,333,599,135,188,975,411,746,871,147,527,046,284,239,650,420,663,
286,281,440,803,970,903,263,882,821,782,753,523,772,355,515,145,088,392,124,
859,589,226,725,478,556,064,596,361,324,047,866,021,898,689,548,214,010,645,
289,495,584,466,049,324,072,327,678,580,440,488,801,818,543,658,879,701,991,
591,217,514,119,677,594,427,101,755,309,529,715,624,302,773,417,389,434,276,
338,671,188,202,498,024,054,608,131,933,292,381,495,008,703,878,378,540,570,
377,459,424,930,141,143,161,256,708,180,483,574,535,591,128,506,507,237,337,
117,690,095,778,794,388,867,954,764,134,061,910,416,114,095,883,585,578,418,
413,704,936,229,189,356,764,760,252,712,234,364,179,370,105,181,838,043,095,
686,181,460,466,273,837,926,767,245,338,939,553,453,256,327,094,734,057,242,
125,731,653,243,198,694,205,699,650,152,580,067,520,318,657,804,811,153,115,
411,759,964,413,552,883,866,432,681,591,347,442,604,945,804,570,554,928,529,
582,489,466,631,844,840,483,249,252,585,348,582,477,646,218,809,256,012,723,
079,000,819,843,160,649,347,832,327,982,565,910,606,090,355,315,070,583,231,
940,775,826,930,448,843,215,143,523,317,688,272,443,196,888,973,921,477,289,
844,642,931,827,589,666,890,700,624,110,035,255,827,151,720,737,597,433,985,
133,597,791,728,145,100,469,446,695,949,707,954,118,085,489,131,805,129,694,
275,494,045,373,594,201,676,590,569,088,675,231,815,821,696,253,594,604,997,
216,015,700,034,534,976,053,861,514,902,184,920,196,891,225,619,310,731,967,
337,303,116,368,966,811,245,255,585,023,961,847,715,783,091,736,708,991,532,
360,503,800,593,746,700,033,817,509,165,232,925,161,003,915,682,445,814,419,
507,838,068,592,948,260,557,435,932,630,465,196,424,066,575,530,839,467,792,
899,402,869,942,699,116,739,124,032,096,377,949,283,414,196,092,343,704,063,
688,507,578,011,249,356,371,914,492,945,139,779,115,522,963,723,766,751,733,
189,428,759,079,366,442,643,627,750,441,329,900,675,276,436,339,425,048,716,
664,610,070,308,182,978,764,043,415,422,361,706,999,090,601,883,489,543,069,
466,132,991,995,729,369,491,969,025,368,349,548,589,287,904,873,841,444,139,
125,384,810,876,272,480,297,830,276,411,779,966,993,001,817,893,328,947,606,
335,869,492,500,164,952,620,997,945,752,896,497,273,066,227,803,412,585,842,
254,448,673,213,643,139,700,619,124,054,745,333,511,985,324,571,891,184,851,
270,374,927,577,689,827,957,628,443,426,475,130,175,325,305,478,488,895,740,
030,773,818,373,747,700,262,562,809,909,575,745,864,622,847,629,706,541,370,
852,003,552,811,816,868,806,736,847,218,876,087,207,707,564,690,300,186,642,
500,528,901,178,773,129,450,796,532,696,129,913,799,339,867,241,795,625,944,
995,958,124,261,645,233,115,145,783,030,793,377,884,296,846,083,051,236,203,
786,961,805,673,864,432,752,763,232,324,422,766,771,542,898,848,424,829,071,
744,429,438,883,603,327,584,195,228,708,709,689,445,497,661,948,551,958,396,
199,555,427,624,476,909,604,358,481,013,714,970,483,255,286,835,198,041,044,
331,335,392,128,073,764,396,497,792,771,216,533,503,235,483,355,275,399,992,
525,111,747,153,033,693,270,483,603,998,096,375,647,412,279,622,429,940,363,
449,769,796,177,250,113,819,268,791,680,071,935,913,719,210,841,534,031,065,
860,232,927,200,044,392,900,368,357,940,376,092,561,840,421,435,318,817,675,
777,721,752,038,558,879,352,007,773,110,176,239,119,930,736,572,332,303,019,
756,668,127,220,267,145,801,566,588,843,224,943,731,298,713,525,109,623,839,
670,748,117,890,049,045,602,140,608,910,710,687,315,609,739,129,701,317,442,
867,159,509,873,608,880,747,013,863,338,147,767,361,651,853,454,774,190,632,
098,740,086,344,763,183,256,985,226,664,962,795,954,095,303,245,453,847,960,
689,715,194,186,300,622,442,257,906,362,749,415,188,659,630,274,614,408,053,
144,812,635,829,768,813,677,327,821,294,183,012,381,011,474,293,282,213,236,
263,562,278,910,451,802,205,933,668,287,012,805,590,680,835,552,595,790,641,
517,277,198,026,814,108,363,916,541,143,674,883,135,471,547,593,419,705,256,
434,498,252,900,986,687,206,078,506,150,840,441,498,947,137,032,217,700,914,
722,658,635,762,390,973,749,819,736,029,439,844,060,300,051,518,340,591,212,
300,756,980,598,757,576,289,028,830,923,663,563,855,727,865,833,310,080,452,
357,921,535,468,610,965,078,992,897,288,843,920,238,600,606,828,700,705,372,
934,988,936,232,103,236,992,910,480,136,025,020,410,858,244,576,571,472,928,
420,472,123,959,214,530,730,903,957,226,381,013,303,313,558,663,268,736,066,
035,445,464,052,160,961,376,744,832,804,530,636,978,467,766,328,006,673,179,
062,414,410,042,429,553,221,496,860,373,084,223,384,930,715,366,640,991,439,
838,799,589,417,273,234,868,116,091,240,730,744,937,235,513,660,801,088,998,
154,901,910,823,232,687,490,414,907,973,346,845,281,291,639,589,738,725,051,
458,956,818,852,996,093,361,311,083,176,421,998,939,439,490,158,873,892,487,
595,047,511,011,053,333,685,485,860,632,087,098,076,345,850,643,439,443,087,
037,482,914,147,348,817,040,890,631,710,535,603,160,794,795,792,664,325,159,
020,639,378,272,707,270,199,253,931,165,969,896,011,265,603,933,486,016,838,
844,676,833,222,283,465,641,638,640,317,738,565,117,293,150,851,698,724,110,
303,229,945,978,926,164,665,617,189,588,241,538,712,286,668,581,168,724,834,
797,820,270,567,645,789,417,258,265,813,765,362,964,773,547,354,656,882,749,
232,878,053,192,721,798,323,201,275,402,381,454,848,207,128,491,592,771,139,
393,249,808,151,732,367,638,868,308,228,707,234,987,378,488,437,392,327,780,
528,789,727,399,970,016,512,358,035,370,384,903,825,082,053,126,967,503,223,
195,164,589,334,066,160,752,812,869,475,036,646,935,264,852,846,805,519,514,
053,072,607,809,537,282,328,862,966,416,449,395,590,589,719,834,129,300,987,
697,738,419,813,896,443,700,786,701,508,315,436,292,472,015,081,871,867,239,
560,124,260,189,820,063,136,271,196,711,293,867,743,912,574,170,164,481,400,
094,184,127,196,637,945,921,335,152,618,006,668,109,978,867,280,591,535,233,
923,839,213,954,848,667,107,956,142,917,264,482,855,460,623,851,393,363,192,
244,414,876,764,982,553,738,607,433,148,067,141,431,476,990,542,689,994,237,
215,865,828,902,107,823,065,066,073,170,386,960,303,806,260,015,944,986,413,
452,634,367,214,894,071,641,146,855,740,956,801,415,614,996,789,066,601,026,
170,319,150,083,897,311,564,877,680,321,774,250,596,988,491,093,813,778,744,
647,949,915,742,818,666,400,063,928,543,101,864,092,733,601,693,801,277,165,
375,996,611,416,087,658,758,813,841,950,890,504,609,262,239,687,266,744,163,
125,880,455,526,535,829,378,209,290,081,278,050,418,904,710,612,954,571,921,
726,491,945,960,637,988,364,521,529,214,708,838,353,142,601,210,818,466,638,
520,736,290,917,572,043,886,360,443,835,134,982,919,890,847,030,768,744,617,
489,314,747,124,356,222,691,185,753,230,881,055,199,844,416,781,671,842,117,
966,360,718,447,355,303,520,725,390,634,126,784,012,803,552,015,970,785,993,
919,419,114,269,692,032,844,098,377,638,745,634,058,809,841,434,975,095,145,
367,092,990,955,253,255,511,895,065,810,076,890,294,259,097,099,743,343,147,
222,083,084,267,608,708,735,785,859,564,306,133,975,215,859,011,820,925,722,
797,648,064,077,161,477,269,509,083,632,325,318,465,751,865,321,151,278,408,
247,579,103,400,662,813,817,318,314,564,113,427,114,028,282,525,754,359,046,
743,033,792,847,079,373,285,381,162,210,650,923,414,246,084,758,912,659,610,
934,986,671,748,421,425,268,116,275,205,301,143,354,564,439,968,710,572,240,
200,604,738,703,069,432,047,852,256,074,252,558,118,676,193,615,527,287,957,
402,199,854,621,123,928,852,696,464,514,283,691,851,222,722,991,300,441,510,
937,329,195,448,883,924,726,363,832,435,410,319,251,580,385,724,052,118,268,
127,052,811,698,126,042,671,001,850,007,030,562,549,620,388,569,475,264,310,
242,463,669,175,295,675,892,565,569,615,744,510,655,724,208,466,706,911,237,
538,986,158,742,758,120,197,626,420,954,073,269,702,922,028,370,095,838,181,
468,316,092,394,955,381,756,714,758,212,995,662,745,630,944,706,682,528,274,
559,267,800,148,545,274,798,119,400,499,461,660,832,312,064,451,834,990,645,
247,104,470,340,363,836,314,038,113,288,336,474,587,478,701,322,911,308,326,
133,671,536,222,541,434,103,995,607,953,397,408,112,648,425,392,132,289,824,
132,605,645,870,007,287,983,288,880,526,003,574,435,151,613,063,483,752,278,
706,359,412,098,380,380,026,659,074,106,263,259,095,665,576,319,727,686,565,
282,453,952,332,534,645,044,935,230,335,558,977,526,845,387,624,496,384,157,
372,822,531,993,093,187,944,715,247,641,323,158,890,438,443,810,277,523,604,
223,637,812,374,409,326,117,987,533,421,943,751,067,844,619,459,629,108,390,
459,779,663,475,973,214,740,285,544,756,426,179,006,983,410,618,215,376,049,
133,458,587,475,948,682,483,449,965,286,554,518,629,527,809,941,135,907,119,
904,894,446,658,007,612,504,062,291,214,113,521,932,168,221,099,657,735,343,
560,319,551,037,831,829,230,618,829,138,370,166,137,078,255,038,423,883,784,
561,866,099,107,833,760,268,421,511,504,544,077,825,087,364,072,275,779,285,
341,508,448,739,386,941,551,430,146,913,880,476,101,063,240,186,008,933,392,
331,408,188,593,518,660,457,241,660,150,325,322,113,635,194,101,901,882,312,
127,316,889,225,588,943,821,340,843,883,618,826,245,565,907,856,236,922,176,
820,811,449,102,912,984,642,393,396,752,555,174,202,449,177,212,191,249,320,
610,358,415,085,654,437,328,928,611,711,698,220,270,971,190,821,657,397,266,
942,221,744,881,641,567,062,755,504,573,495,920,364,128,282,135,118,092,212,
758,987,263,142,718,276,238,741,560,675,044,367,166,693,626,556,993,800,151,
165,548,983,223,317,722,475,149,402,519,208,640,848,584,422,896,372,760,093,
402,887,250,847,449,641,637,458,374,918,342,464,451,896,100,418,364,360,911,
251,069,768,803,107,303,714,705,964,238,120,993,861,270,386,167,281,016,686,
582,064,275,746,387,709,636,986,226,756,501,739,268,118,509,605,749,961,362,
233,705,578,542,470,306,061,636,659,935,641,754,280,903,712,413,140,772,198,
906,950,788,292,907,777,080,667,656,156,221,032,136,613,396,691,699,974,591,
395,019,454,504,940,412,229,515,011,154,197,935,636,828,663,009,659,625,764,
621,186,166,464,528,830,569,912,849,637,877,889,555,180,215,963,444,828,414,
953,808,707,355,634,984,164,646,822,181,966,632,154,001,490,840,298,089,432,
096,620,462,021,204,661,971,856,764,529,946,923,067,519,037,538,440,847,489,
621,030,032,170,483,254,368,483,719,071,831,873,749,196,857,467,807,352,420,
207,660,498,393,044,869,896,400,373,412,585,118,375,415,055,774,801,653,004,
199,870,862,959,848,007,929,328,813,692,329,262,827,091,110,028,829,640,741,
515,358,814,959,140,103,996,262,154,613,287,328,135,459,928,335,646,208,920,
177,159,469,920,247,510,951,772,136,854,415,018,644,177,753,210,265,596,833,
268,074,051,250,819,317,787,369,470,812,178,559,726,479,521,508,493,074,881,
460,921,741,466,224,104,347,960,109,370,044,176,607,893,904,041,328,837,364,
265,942,946,555,408,450,734,489,234,210,331,057,376,296,639,648,314,617,191,
549,387,314,637,583,803,830,631,968,709,505,761,923,451,365,679,255,741,949,
959,375,801,334,770,557,265,280,628,970,587,727,062,920,864,166,426,556,438,
162,361,432,057,994,528,331,708,257,576,290,384,092,739,492,803,683,559,856,
336,472,900,460,958,642,146,016,357,354,344,507,084,141,720,150,179,315,927,
453,004,307,486,098,805,704,747,038,368,495,874,286,527,306,165,149,987,809,
005,888,611,853,500,638,151,557,019,366,122,903,402,025,738,613,085,907,684,
364,859,828,011,246,717,928,706,641,327,777,849,381,784,465,288,000,334,255,
079,311,444,186,758,817,456,362,703,941,957,751,585,663,857,009,136,056,631,
158,277,003,697,170,879,291,356,700,710,132,545,386,103,617,563,552,296,452,
217,978,837,945,967,705,434,043,196,907,667,601,649,727,330,409,396,856,596,
820,884,428,848,250,827,959,848,047,618,708,705,554,341,364,244,858,028,023,
585,078,519,914,179,545,799,450,461,467,499,250,366,319,957,976,809,011,881,
465,400,720,805,723,586,387,418,944,513,624,305,689,786,067,049,837,658,151,
788,786,001,574,809,771,195,000,179,721,076,472,591,206,851,653,349,687,315,
753,004,427,713,732,851,661,088,376,242,375,026,479,620,227,895,895,535,918,
108,745,673,293,996,664,897,646,664,082,044,840,869,743,187,744,380,082,417,
382,379,468,208,054,768,683,713,380,423,751,493,428,103,215,316,871,252,947,
750,001,662,682,343,268,790,726,605,321,795,256,009,378,251,471,203,074,251,
770,113,505,751,702,239,614,662,065,342,916,771,328,417,545,675,278,010,341,
168,506,639,509,760,320,938,091,613,944,483,389,153,085,465,111,662,309,267,
796,188,844,406,847,805,454,024,312,837,224,590,382,881,397,137,550,117,780,
845,630,744,247,874,885,174,137,277,125,137,947,116,606,734,688,245,912,601,
375,953,820,623,725,386,341,271,448,893,603,885,759,225,990,727,052,235,883,
752,762,150,716,482,348,633,405,081,914,334,130,859,991,087,841,347,714,788,
877,876,075,881,314,120,682,639,346,934,921,549,746,587,186,421,633,298,868,
318,493,975,242,401,785,495,848,187,003,261,515,723,785,526,642,050,858,483,
976,161,837,213,533,257,339,696,826,380,063,782,645,560,945,184,403,922,114,
056,794,534,449,427,106,990,089,681,165,915,846,768,444,288,988,359,851,265,
554,390,118,122,649,959,853,344,630,960,591,756,329,115,343,663,617,572,653,
083,489,956,872,234,763,793,134,531,166,867,220,742,217,169,730,702,474,843,
171,705,938,773,828,143,651,244,080,154,131,815,002,919,998,518,305,676,085,
803,896,648,041,632,940,985,679,687,622,838,519,576,576,445,668,258,418,466,
282,977,594,112,516,373,278,584,961,220,407,612,462,650,141,382,352,687,843,
894,266,792,412,906,318,237,181,947,273,791,345,117,929,500,967,040,040,328,
205,433,412,901,694,673,660,847,677,607,362,642,557,987,528,664,805,539,383,
921,342,228,358,629,903,896,861,592,717,849,941,173,466,357,908,440,764,780,
579,163,507,193,117,987,693,951,750,276,021,063,137,060,281,072,989,215,812,
118,865,912,219,685,427,060,507,718,226,592,197,609,172,139,038,678,423,633,
592,820,905,289,867,330,665,610,827,385,090,344,175,505,904,321,466,217,803,
613,318,282,759,614,242,828,624,984,167,165,874,390,372,265,307,502,579,891,
107,675,637,354,861,641,627,637,255,145,611,367,229,623,233,122,026,548,661,
804,466,288,954,661,634,787,377,093,180,560,104,040,990,426,753,345,048,498,
344,052,851,987,651,497,082,126,381,118,999,293,196,821,665,895,106,558,544,
158,532,915,086,635,439,676,825,717,996,697,915,635,410,031,101,832,530,536,
457,556,428,518,192,979,539,304,940,118,139,202,425,756,064,056,196,578,433,
150,580,304,934,028,862,587,998,056,037,203,224,357,967,408,669,633,959,382,
477,542,484,782,848,985,406,662,938,163,846,477,153,163,926,484,317,209,982,
013,372,753,871,541,082,708,542,750,701,683,099,973,875,640,349,538,995,007,
004,628,370,754,344,281,100,911,764,817,968,869,327,348,926,388,230,732,690,
723,359,502,064,805,936,280,857,745,608,094,764,175,348,116,370,864,382,992,
767,418,833,563,837,767,290,899,093,820,081,615,548,988,862,988,261,437,960,
898,634,394,929,371,655,104,744,411,183,920,327,033,171,580,893,952,126,146,
348,455,763,886,336,489,596,787,287,254,067,701,152,559,196,267,525,490,415,
606,119,276,098,669,165,727,238,730,909,486,740,862,813,357,524,131,062,419,
783,753,415,162,492,743,272,181,524,621,435,986,032,615,497,842,870,777,455,
767,099,784,075,139,293,232,158,926,651,726,787,443,366,931,677,402,540,098,
113,088,951,825,678,147,739,115,359,448,003,755,719,737,497,880,306,687,707,
515,871,157,470,661,111,024,258,559,023,571,611,411,472,467,979,139,488,808,
194,501,254,349,922,982,327,006,110,944,740,981,983,849,711,164,468,576,706,
623,509,972,019,266,243,274,511,464,122,526,490,770,911,449,337,706,140,443,
890,207,582,219,781,369,529,890,089,968,335,244,475,331,352,924,211,949,626,
326,912,605,892,547,386,767,513,441,252,492,108,983,599,120,311,502,725,895,
887,715,872,320,943,611,239,106,694,437,941,681,967,566,128,825,546,795,440,
058,225,741,267,389,626,612,863,961,009,106,676,068,166,198,518,152,235,122,
062,947,474,232,547,082,816,861,148,211,401,861,324,756,194,356,409,036,515,
740,771,065,513,999,075,553,138,034,986,750,426,243,443,133,921,070,413,546,
258,033,612,070,610,493,605,936,071,619,464,535,087,795,455,836,260,789,583,
612,530,598,160,412,793,055,045,740,388,776,029,097,900,281,574,252,780,838,
023,896,575,369,504,831,073,573,805,052,720,621,036,821,830,167,298,215,786,
718,838,698,959,783,346,059,273,121,846,834,334,966,824,924,610,520,201,568,
199,098,519,737,483,203,764,378,607,355,912,590,868,628,984,575,420,878,300,
982,187,986,180,930,477,126,064,054,347,147,419,116,569,741,397,046,632,718,
534,777,128,025,208,948,024,231,996,387,104,244,165,948,617,415,462,052,198,
403,330,885,010,489,107,546,091,521,964,165,913,369,591,072,820,309,184,013,
947,301,339,929,965,941,052,832,766,004,976,951,955,285,691,096,853,136,533,
052,245,489,954,848,920,008,050,627,984,519,806,948,283,015,039,907,400,593,
533,462,706,856,686,749,052,679,059,937,034,258,624,747,396,906,158,850,882,
874,603,483,002,851,298,642,203,347,092,736,587,548,075,404,335,974,560,719,
415,262,380,853,887,223,719,531,033,001,612,209,652,010,917,835,495,118,875,
017,424,294,870,239,985,262,132,681,260,115,653,814,422,917,555,130,477,373,
218,370,107,084,709,332,514,660,791,111,230,039,713,504,123,019,129,305,641,
032,641,735,400,193,245,324,736,310,527,467,149,117,490,949,512,349,875,315,
119,352,484,244,816,623,386,658,580,485,970,644,918,381,930,911,639,084,792,
992,878,701,852,916,469,443,021,723,003,749,656,072,052,163,503,448,787,139,
755,508,495,138,537,361,809,728,465,947,119,827,826,685,134,027,702,410,339,
968,322,787,545,268,509,855,502,527,405,886,639,432,372,889,462,504,375,312,
289,450,846,326,880,117,668,799,885,422,206,568,678,967,919,838,951,680,166,
300,664,196,848,631,614,334,274,311,856,966,713,974,431,794,720,582,846,842,
148,530,251,960,667,016,499,755,087,941,116,134,404,033,830,937,442,933,060,
551,465,671,091,038,418,767,822,121,196,490,099,748,340,820,780,760,503,547,
923,459,984,800,929,209,414,728,825,342,172,531,139,120,837,650,261,506,265,
967,156,510,757,184,722,752,104,157,143,237,896,093,965,678,416,387,838,737,
339,994,100,022,228,801,134,432,733,876,881,450,886,680,932,518,145,277,147,
796,576,810,288,356,950,166,194,300,607,295,700,877,168,261,141,845,199,260,
219,923,549,055,794,765,375,972,098,376,302,243,131,075,101,210,721,728,016,
923,994,798,902,504,824,512,471,969,355,768,787,871,030,174,921,136,910,531,
873,898,442,615,042,255,679,042,277,847,201,309,808,525,927,435,989,213,908,
627,821,568,215,428,947,666,151,362,383,628,690,327,341,669,581,623,471,698,
591,655,864,445,720,145,786,572,632,892,983,935,137,785,800,339,228,811,803,
427,451,545,263,565,878,068,182,222,652,754,715,643,866,782,708,952,375,756,
432,722,680,462,340,787,565,016,701,583,653,705,297,591,039,251,553,355,624,
961,406,692,505,115,901,865,928,896,919,211,422,758,344,281,067,806,122,450,
785,062,364,130,313,471,345,304,433,884,192,159,446,677,139,124,536,891,670,
351,928,321,798,273,877,079,821,579,629,007,531,948,161,783,861,593,287,861,
618,911,466,843,741,437,805,279,570,313,590,326,726,907,024,983,836,035,835,
873,960,942,482,984,863,573,593,869,973,503,726,804,377,167,855,743,445,486,
772,653,879,188,842,346,167,787,121,899,983,714,371,664,650,008,094,043,817,
901,309,270,898,537,218,623,952,297,797,584,494,182,135,152,870,846,368,556,
862,854,261,625,448,174,401,970,444,694,486,322,306,576,532,486,563,194,043,
423,791,337,992,578,794,499,835,331,936,648,839,525,569,505,296,388,265,258,
215,110,996,965,189,775,793,948,450,974,716,446,471,586,652,002,618,592,699,
911,210,819,856,364,300,477,455,283,736,030,584,053,535,957,367,539,289,941,
201,451,270,423,183,383,191,224,412,779,813,709,852,913,445,280,781,031,712,
089,025,677,090,992,210,998,619,534,324,779,410,346,117,360,974,480,993,561,
528,515,090,628,810,049,513,709,620,344,630,738,699,487,305,986,092,435,126,
221,618,463,377,259,361,201,801,711,321,824,678,520,935,582,614,296,404,809,
954,328,739,796,788,920,554,475,032,164,224,110,162,447,669,233,710,266,565,
515,454,192,322,218,472,373,981,978,460,778,449,066,523,197,014,275,021,728,
572,310,087,504,546,440,965,236,140,866,716,799,750,834,093,508,192,147,009,
689,642,718,966,175,917,321,921,363,191,833,989,329,926,452,019,422,509,775,
968,780,182,491,748,066,714,340,133,717,336,450,047,396,664,752,290,195,661,
462,945,297,089,561,946,436,739,013,361,369,895,397,641,670,978,632,298,589,
121,092,906,866,421,988,994,042,960,110,691,423,628,906,125,853,984,059,021,
451,424,433,609,476,680,613,184,191,799,023,928,983,245,112,927,674,673,027,
008,669,862,518,198,822,344,305,424,827,484,942,475,649,600,427,787,846,228,
573,633,955,958,630,538,974,939,105,846,909,300,270,299,935,970,202,733,438,
188,403,679,752,280,855,811,798,972,683,012,606,535,732,437,123,585,811,500,
073,349,255,261,401,933,338,427,526,005,369,136,101,817,847,595,023,191,469,
707,804,337,964,069,574,004,591,655,488,181,953,829,850,905,885,867,721,939,
285,663,154,430,361,279,740,035,999,764,623,575,235,693,000,514,794,764,212,
553,506,252,116,166,359,043,460,466,375,513,464,041,427,734,675,267,495,010,
292,389,381,811,243,554,515,627,348,010,663,362,762,605,116,168,575,973,850,
119,452,809,915,278,811,794,526,863,043,393,839,773,146,347,171,417,116,615,
477,701,014,475,601,095,092,750,233,395,008,193,739,420,791,220,637,510,306,
343,266,107,691,617,730,147,172,728,710,139,729,288,370,384,717,720,904,510,
741,199,769,947,669,013,116,167,492,677,982,435,105,179,507,583,660,594,473,
941,772,496,773,071,186,300,148,871,663,195,846,802,231,516,186,104,791,378,
908,348,605,530,264,292,265,844,712,668,887,841,479,417,226,427,569,335,987,
599,085,693,828,779,982,989,748,337,980,265,008,011,312,998,367,436,006,718,
926,399,563,585,093,409,145,261,369,243,003,319,025,448,470,660,157,118,030,
461,742,755,002,172,668,096,403,880,648,579,734,922,155,691,428,403,507,423,
017,489,702,001,100,326,689,211,083,968,991,375,016,594,709,715,903,745,117,
424,723,998,848,235,395,514,891,504,201,695,787,374,028,241,024,436,806,203,
109,063,380,627,700,834,550,742,344,463,712,974,983,261,723,741,651,367,096,
755,380,003,594,629,456,299,553,357,146,750,051,505,461,973,596,125,563,238,
715,154,362,128,134,216,437,940,931,637,394,127,808,277,998,669,651,675,616,
560,560,356,674,387,631,833,993,922,570,698,149,016,520,511,722,473,060,354,
247,143,697,206,914,652,510,418,674,054,807,528,332,083,181,360,267,312,828,
911,442,552,198,885,139,094,632,406,329,309,734,505,308,652,394,340,818,780,
741,162,654,282,766,147,931,443,199,876,477,743,435,931,706,611,052,133,812,
490,088,852,872,049,721,576,665,595,574,959,734,742,694,594,140,868,824,372,
336,988,438,976,330,511,909,998,079,250,015,635,374,452,770,143,879,379,150,
430,442,686,506,077,759,923,062,739,370,283,706,180,251,909,652,927,700,346,
230,430,290,526,711,430,291,039,404,384,663,563,813,129,009,063,169,575,710,
845,295,534,701,418,468,430,017,692,782,589,401,628,346,182,702,012,544,824,
365,878,121,937,575,767,803,678,991,702,901,473,022,895,715,903,378,891,189,
417,985,755,695,194,449,252,313,136,508,798,408,892,344,858,178,260,415,884,
427,265,253,065,498,030,906,003,945,097,442,313,755,047,270,205,529,267,912,
945,186,589,735,725,869,455,571,367,009,301,263,811,976,731,252,940,628,265,
780,095,782,357,468,550,939,644,043,649,686,417,931,858,532,053,903,995,433,
985,798,124,960,297,463,831,875,930,269,841,808,720,425,515,748,473,104,215,
399,527,931,860,749,898,418,727,682,114,529,604,050,273,987,528,730,927,703,
183,203,046,677,858,705,152,472,308,264,674,847,132,653,713,323,301,385,661,
019,927,544,060,148,183,226,743,647,898,043,365,411,961,792,410,310,170,363,
888,726,382,675,953,119,709,480,035,613,178,252,438,602,686,983,911,304,411,
418,439,332,376,766,198,677,640,948,280,499,101,619,068,565,135,312,988,786,
455,823,918,388,801,617,509,106,611,693,496,638,175,330,854,560,783,295,880,
018,629,899,244,603,020,487,018,088,938,892,450,743,664,532,060,944,032,598,
900,587,529,008,408,413,703,701,670,466,844,357,955,747,545,794,812,019,763,
447,995,193,388,698,999,737,283,811,514,394,094,310,518,318,404,414,590,899,
498,319,658,226,067,224,905,239,806,961,612,780,081,264,048,774,172,801,345,
313,123,225,511,509,653,866,639,124,336,599,169,387,926,774,919,575,468,300,
007,818,658,705,676,301,866,274,953,131,479,497,749,229,723,232,113,436,697,
619,905,340,649,101,849,287,194,282,265,056,680,028,802,377,197,174,757,022,
979,274,102,094,253,762,948,599,022,222,114,264,781,988,451,622,219,926,105,
511,838,204,690,843,173,954,056,144,232,284,804,765,802,156,569,897,437,087,
529,308,350,414,268,107,384,116,692,207,169,268,310,162,981,336,160,245,025,
809,539,889,796,748,776,939,795,306,152,411,062,183,538,079,331,731,331,366,
669,215,720,347,057,988,478,483,051,495,167,264,148,989,971,553,310,843,973,
396,461,990,432,458,110,978,462,550,471,880,132,656,434,097,727,422,474,967,
189,303,258,296,583,372,904,213,656,168,294,860,096,916,581,498,112,628,947,
114,379,529,051,602,370,579,517,003,342,264,851,555,472,600,409,203,000,524,
059,329,576,022,689,690,567,957,355,973,023,830,931,895,725,543,819,812,149,
098,898,659,629,443,446,655,871,280,497,838,458,041,425,099,100,544,874,928,
687,940,326,590,179,532,889,945,633,014,981,097,786,259,511,167,303,041,328,
121,652,064,560,157,352,468,204,327,963,661,115,039,679,688,071,860,075,026,
594,622,283,351,408,698,241,802,991,625,215,859,706,585,575,055,760,181,360,
685,341,496,582,790,748,238,306,378,355,062,383,244,820,991,661,684,203,347,
344,031,997,993,368,452,095,501,662,157,934,535,254,284,680,250,242,267,206,
694,421,406,161,186,835,148,146,532,009,170,810,395,258,384,019,017,032,716,
454,738,668,313,036,302,069,134,269,828,684,883,576,647,789,392,482,950,251,
046,250,845,981,413,645,388,043,004,817,744,831,165,068,402,272,642,140,201,
385,524,783,313,017,967,211,761,382,415,703,902,628,360,907,143,860,295,418,
472,880,443,186,668,116,829,975,185,207,308,665,651,135,785,152,706,322,696,
705,146,095,082,799,609,995,390,526,564,048,729,210,967,307,360,350,333,346,
651,440,020,966,268,172,387,222,683,971,802,502,378,562,274,531,475,495,074,
519,098,946,312,620,128,330,158,598,926,430,441,089,370,727,789,407,013,814,
113,437,654,861,474,259,691,948,054,997,896,379,941,150,558,499,408,055,847,
799,046,515,300,008,940,504,526,765,004,167,772,917,771,347,075,639,067,820,
375,805,781,835,579,190,832,483,590,834,156,040,322,088,323,625,599,863,218,
822,138,953,211,503,061,887,798,141,323,824,461,716,044,616,833,768,229,070,
474,224,200,637,612,009,586,399,628,807,170,868,830,390,727,686,454,005,298,
133,499,946,273,411,613,630,601,891,472,634,143,512,522,999,263,009,580,213,
922,945,866,738,964,550,045,714,975,679,443,028,962,153,542,982,670,856,606,
345,111,102,803,891,930,555,565,787,178,445,203,863,208,744,388,133,648,562,
933,575,300,862,307,606,472,935,690,394,745,738,567,610,103,199,934,051,660,
317,868,516,782,660,145,340,536,379,504,719,074,633,714,241,176,383,668,861,
361,960,648,112,939,925,796,439,683,642,015,447,494,839,596,105,546,982,786,
404,318,711,677,290,574,205,943,917,842,729,483,132,457,007,253,908,176,872,
000,095,905,457,262,354,921,082,615,817,486,691,507,618,418,799,466,519,088,
891,326,768,269,571,150,933,054,827,665,676,489,387,176,208,927,568,386,240,
408,393,312,783,402,415,099,836,624,359,574,911,657,081,542,708,717,723,795,
776,449,878,501,129,095,673,178,540,642,147,070,840,935,366,339,760,951,092,
203,129,558,133,109,074,983,857,801,825,757,173,716,206,904,172,526,315,384,
719,451,924,314,377,412,510,171,481,297,895,252,447,215,990,648,495,545,232,
385,925,165,530,605,035,714,166,243,030,219,289,112,181,361,981,629,167,813,
322,530,191,615,882,354,590,159,704,174,647,804,539,341,319,062,117,030,880,
751,298,275,707,899,655,667,639,935,583,934,132,501,838,665,924,338,491,303,
625,969,205,087,590,506,549,772,918,183,377,085,811,917,948,616,628,281,309,
741,684,210,458,411,197,498,419,009,149,292,250,223,458,881,044,145,024,057,
982,752,501,436,391,969,807,871,664,168,210,950,049,068,024,326,554,136,874,
229,248,149,448,146,458,599,443,461,011,072,437,995,262,697,192,383,809,685,
375,647,588,947,084,288,927,868,649,675,742,156,246,753,317,150,600,502,154,
370,153,168,487,597,913,324,144,399,060,279,903,738,126,061,103,503,050,939,
689,411,858,797,437,969,148,150,998,076,445,202,114,781,120,400,120,057,246,
203,815,624,935,079,055,277,916,389,313,517,016,348,988,753,307,845,604,359,
456,612,688,596,560,628,816,498,349,969,667,930,343,915,632,616,785,524,325,
997,425,761,673,555,922,773,639,304,363,474,719,391,594,727,874,458,055,213,
632,442,183,026,085,847,453,095,922,200,484,706,819,615,166,188,862,680,812,
116,818,917,837,954,091,131,190,417,179,882,836,623,023,238,593,004,833,336,
171,511,176,802,144,241,426,677,475,360,571,921,249,318,500,453,516,039,389,
599,592,621,448,518,616,070,903,474,944,231,863,879,513,619,089,575,426,209,
628,490,059,706,829,685,226,254,283,256,434,437,879,566,282,257,144,819,581,
180,532,182,550,120,772,599,209,382,725,597,163,086,188,456,839,145,617,897,
420,903,984,748,222,183,623,821,623,540,621,868,446,726,848,039,092,550,998,
167,215,946,871,494,529,066,868,035,506,408,003,463,729,183,249,789,574,056,
900,302,876,467,527,672,741,326,875,859,982,814,664,009,264,812,400,095,690,
556,165,784,532,835,112,306,134,857,860,939,943,748,064,382,871,950,905,902,
334,997,341,889,762,379,411,872,601,492,261,924,039,993,313,955,394,698,071,
203,850,255,502,625,522,656,497,036,907,039,809,447,851,713,392,047,750,703,
596,836,914,295,980,497,126,085,581,230,517,370,694,243,198,219,154,897,547,
363,981,160,958,033,914,076,412,793,019,664,408,355,835,299,233,910,402,217,
002,359,979,519,662,453,647,824,810,989,400,708,744,259,726,587,568,896,153,
815,791,773,713,542,229,893,756,067,493,166,421,353,320,327,872,730,486,275,
584,510,807,841,900,461,769,303,236,194,314,152,732,651,097,944,667,494,010,
771,699,819,335,146,981,302,439,710,597,618,086,954,561,534,125,242,644,575,
223,309,781,644,188,440,285,323,319,883,556,459,834,971,774,186,072,877,888,
094,386,617,784,574,470,844,632,684,089,888,519,911,255,209,294,947,244,271,
650,501,225,818,732,590,607,268,740,370,191,620,509,270,889,902,154,078,389,
922,661,829,375,882,151,334,099,372,131,306,534,048,089,694,502,547,202,284,
050,955,077,697,570,488,905,652,381,645,404,330,713,396,639,477,659,074,149,
979,561,101,390,624,839,365,642,133,529,061,576,003,227,577,267,089,660,935,
713,955,528,784,839,212,509,023,500,556,505,229,975,081,263,999,051,719,693,
939,562,043,399,510,511,561,233,409,752,122,305,968,095,584,136,006,696,242,
494,515,044,141,321,985,639,974,719,631,948,333,763,966,146,697,060,626,557,
635,136,150,993,984,194,918,558,319,616,053,947,565,120,105,128,212,511,910,
198,427,640,703,144,379,559,473,688,565,351,497,794,028,926,982,430,380,612,
877,030,034,177,017,601,467,984,826,998,779,903,075,102,741,492,686,864,626,
618,681,317,037,229,136,121,911,291,531,925,313,256,927,860,639,059,106,003,
038,926,699,166,407,549,004,461,429,207,880,178,182,170,867,886,645,809,920,
034,751,967,517,197,564,206,706,911,783,573,051,805,711,339,791,844,252,435,
677,153,785,169,577,713,517,082,427,738,142,663,245,152,933,566,555,229,724,
261,742,674,758,743,608,819,986,254,972,373,425,881,797,812,177,244,225,043,
474,660,501,584,479,961,993,180,936,843,803,103,913,863,776,115,169,803,232,
781,389,337,682,491,311,866,436,041,455,987,109,954,639,183,452,553,237,605,
431,561,787,352,146,133,444,562,358,501,944,771,317,381,966,628,862,522,439,
324,049,696,625,541,291,951,969,958,123,885,849,542,539,357,053,941,997,854,
026,863,479,230,206,688,322,376,596,800,422,417,404,705,377,033,897,282,677,
758,074,510,108,376,920,990,605,651,708,497,091,956,901,620,745,203,312,958,
393,939,060,023,977,813,535,550,799,742,204,351,774,860,662,507,090,769,192,
946,742,986,825,320,469,819,110,842,390,513,726,677,304,078,164,113,298,484,
404,163,404,886,017,072,877,480,681,936,995,977,935,749,107,792,183,743,819,
627,673,499,844,278,791,721,692,848,651,498,631,173,194,863,618,023,553,274,
980,403,154,191,879,132,245,391,641,743,754,676,923,219,732,647,439,814,692,
530,591,586,252,272,708,065,136,797,689,477,218,576,367,083,494,499,677,940,
466,327,992,316,947,329,125,477,900,435,345,763,378,152,721,587,300,708,078,
277,912,095,815,999,659,407,224,763,546,001,439,675,828,626,619,321,540,954,
697,480,475,948,052,937,161,137,525,093,537,381,219,986,488,536,164,612,577,
824,700,016,312,685,049,185,464,091,633,226,871,022,360,913,280,939,990,904,
048,650,674,009,438,031,515,162,672,392,327,721,800,911,316,224,770,613,369,
461,792,391,771,893,282,769,794,430,242,961,805,886,830,405,115,373,217,082,
593,302,948,539,809,778,330,953,057,077,047,833,791,388,727,475,005,149,504,
286,368,022,300,645,457,611,955,257,907,998,573,984,644,010,998,294,283,837,
140,366,104,968,501,370,685,467,242,929,569,768,272,460,759,052,402,059,515,
338,411,076,275,756,928,685,033,095,789,603,849,532,075,849,957,596,256,732,
248,188,539,801,614,155,919,355,151,252,105,512,669,595,461,305,841,800,592,
947,616,417,894,048,451,983,151,823,387,871,777,905,079,182,785,517,953,490,
867,872,590,021,346,377,476,751,368,811,260,662,323,581,826,352,326,930,213,
677,670,952,484,312,644,757,131,067,974,910,010,016,038,087,083,632,670,069,
185,904,010,359,448,770,243,771,767,743,032,514,654,864,380,810,981,229,221,
611,527,512,969,149,913,974,636,382,253,485,096,472,839,156,432,603,895,138,
441,636,539,622,246,384,418,071,205,469,411,944,647,967,884,091,235,748,331,
852,648,795,315,769,858,975,647,768,607,150,023,630,710,092,809,700,015,041,
085,022,942,143,393,195,770,862,329,294,246,587,372,957,607,420,921,159,959,
051,321,697,002,987,538,900,476,741,077,795,086,584,169,116,103,640,294,706,
250,756,044,465,612,968,172,699,363,348,189,611,717,542,384,593,226,216,429,
615,198,572,082,468,529,896,960,611,511,691,256,772,274,774,810,634,780,144,
842,470,941,692,314,714,615,723,676,063,961,313,041,328,022,282,587,682,936,
057,538,185,296,723,556,956,080,869,992,733,294,035,143,438,542,383,425,077,
234,822,996,185,341,128,595,919,625,420,667,000,314,256,400,489,709,075,291,
830,771,653,522,673,423,034,424,634,717,050,327,384,792,343,041,770,923,429,
878,183,139,817,591,334,623,111,786,807,551,332,020,634,218,426,977,229,457,
810,881,296,488,981,370,611,557,411,840,429,480,961,966,615,163,250,226,221,
023,204,594,239,115,880,602,906,710,356,739,932,118,109,387,780,570,679,862,
090,056,770,380,056,839,838,752,297,486,930,513,702,334,554,611,764,942,039,
116,733,729,226,121,832,281,533,288,756,492,996,261,032,503,947,130,132,460,
899,623,125,016,068,802,133,173,582,240,510,018,617,797,545,089,407,390,164,
744,193,332,043,812,372,928,959,484,418,449,655,517,857,759,239,208,362,390,
541,658,172,212,392,874,721,673,640,526,520,631,804,496,755,861,677,658,688,
508,589,017,078,503,358,604,834,729,920,822,023,546,333,644,499,928,034,708,
564,179,051,986,822,273,489,335,005,386,307,140,698,152,117,143,341,895,586,
778,090,997,365,160,644,988,868,253,657,697,478,551,022,752,121,995,055,433,
066,848,361,514,571,580,632,283,619,511,538,249,407,411,724,553,407,781,862,
627,682,340,257,960,163,831,474,932,190,180,252,424,408,537,590,007,832,010,
849,543,179,247,974,934,115,629,321,588,609,347,625,079,748,556,248,368,042,
762,369,485,709,273,438,611,764,043,570,296,504,434,943,025,806,387,985,751,
965,164,078,063,293,168,499,505,422,580,422,409,220,839,836,065,184,168,607,
466,755,251,091,142,286,822,097,426,537,817,513,934,172,997,390,183,782,083,
601,217,313,141,808,541,365,321,032,636,332,509,278,532,489,964,576,130,797,
280,873,216,435,834,494,301,070,091,360,374,503,878,382,032,389,350,716,749,
831,799,003,576,619,862,049,863,205,397,620,389,863,506,586,494,814,545,615,
727,802,093,772,031,526,119,588,035,825,581,931,372,568,456,471,844,089,368,
923,124,509,446,089,042,811,949,366,637,319,135,947,962,521,332,364,445,855,
395,269,193,041,876,305,450,169,199,265,798,875,143,274,524,404,842,507,724,
058,426,556,123,613,378,725,010,821,487,527,696,207,859,791,390,071,615,620,
280,928,936,848,845,765,009,251,414,716,458,994,706,311,535,704,354,516,694,
991,763,722,280,304,632,184,960,030,742,623,332,942,759,718,966,451,530,244,
924,995,653,564,338,407,941,432,296,662,424,124,422,284,940,436,303,639,543,
499,019,860,531,877,169,843,778,689,300,118,929,007,996,428,447,785,505,048,
618,565,715,626,011,479,621,620,334,092,039,916,129,824,453,548,737,641,961,
312,533,646,521,889,853,268,977,056,897,446,895,923,195,877,153,159,166,613,
899,526,062,481,256,892,841,859,324,839,758,856,013,998,964,968,395,777,484,
430,320,883,590,930,966,419,475,899,927,475,617,849,473,366,580,960,684,737,
334,255,826,727,568,936,948,966,402,384,931,918,588,209,116,753,759,445,648,
979,058,914,000,567,340,612,639,474,627,716,216,530,901,390,843,097,527,353,
762,876,929,488,781,917,091,645,099,949,398,055,148,209,953,750,612,430,456,
280,139,620,285,696,503,973,550,367,015,381,380,525,468,891,779,612,596,669,
931,860,876,147,780,763,315,387,144,962,982,487,741,239,855,103,834,304,566,
925,863,227,893,231,759,274,293,425,857,662,956,291,162,361,068,580,246,138,
829,253,848,923,241,789,477,285,516,967,788,268,359,823,745,483,217,960,509,
571,235,883,744,852,210,751,234,777,401,125,631,900,966,240,708,848,298,391,
200,113,675,923,780,654,113,993,011,149,965,466,087,781,784,397,141,842,241,
724,031,482,017,257,552,298,832,548,951,491,029,912,309,020,133,840,017,005,
035,407,097,420,522,992,601,105,333,681,516,750,097,770,194,175,092,589,605,
867,648,766,168,786,199,666,456,291,763,877,031,764,281,042,867,796,904,792,
140,283,676,245,092,869,808,822,133,339,392,143,658,665,862,949,649,635,100,
743,590,592,228,506,720,613,273,354,412,225,694,991,510,666,559,383,696,557,
824,033,545,714,739,860,287,460,466,094,040,951,602,650,742,899,444,420,664,
609,313,850,034,763,921,956,877,718,442,145,368,308,018,345,831,243,095,112,
344,768,792,985,576,428,813,608,966,844,727,632,477,007,640,598,719,490,195,
702,552,234,739,480,186,981,361,563,662,627,687,351,647,054,856,033,169,708,
258,261,420,301,962,589,271,051,003,931,416,208,790,391,525,809,663,147,155,
482,349,468,658,954,643,099,599,889,084,607,706,641,822,679,766,254,273,067,
356,301,346,229,880,373,590,751,484,000,418,031,154,542,777,021,458,115,057,
220,283,140,368,605,113,470,693,971,081,513,334,465,542,604,590,403,782,313,
504,387,935,441,172,286,776,612,312,687,644,095,061,498,305,756,127,506,840,
549,583,975,076,400,685,804,612,205,803,829,690,112,418,483,626,003,815,765,
321,855,941,337,571,180,978,831,702,136,782,612,931,883,805,913,484,269,583,
293,581,852,219,332,426,629,487,565,114,396,018,274,356,321,069,518,526,525,
281,633,867,824,259,697,358,252,091,507,026,439,149,446,858,023,949,489,642,
102,427,923,306,253,991,872,610,612,522,455,196,046,094,078,871,493,414,688,
170,171,500,621,426,584,850,370,740,832,398,885,705,296,907,239,352,937,672,
566,129,201,272,196,145,059,416,057,824,055,182,817,546,076,596,372,004,370,
324,710,662,694,379,482,712,844,033,596,458,078,464,477,837,513,165,909,252,
882,719,210,637,713,927,310,995,063,613,600,320,134,372,596,561,574,433,384,
789,774,266,911,880,236,524,197,811,260,318,324,291,017,444,019,491,996,028,
349,555,375,318,821,837,417,629,280,459,112,493,285,940,390,669,733,704,903,
391,164,894,111,576,684,260,418,231,833,421,522,151,945,660,278,717,384,478,
227,007,109,717,833,948,773,576,159,451,383,908,458,517,658,373,041,410,492,
904,914,844,631,249,665,930,805,183,639,866,633,033,446,887,835,126,873,644,
330,267,953,267,867,065,064,989,320,565,623,220,836,248,011,223,347,347,402,
942,125,171,810,334,239,726,353,426,853,446,996,019,906,684,110,880,009,292,
597,211,588,282,744,859,079,565,169,254,290,184,573,209,348,761,182,307,099,
915,351,997,284,649,939,902,663,737,649,920,013,950,495,519,591,877,581,875,
055,069,297,360,934,619,805,418,079,693,801,236,391,395,883,326,563,899,598,
114,226,207,626,796,434,903,126,553,916,484,002,598,940,788,594,646,879,971,
930,844,793,574,612,271,095,363,085,876,804,681,289,417,979,202,750,569,056,
038,501,326,126,032,911,476,472,900,247,990,954,364,822,254,466,640,870,786,
033,220,030,597,829,842,174,211,465,746,998,623,685,893,984,542,472,546,210,
131,761,426,363,078,061,748,635,184,086,682,125,680,056,126,142,404,555,958,
901,921,102,395,374,706,476,773,910,272,873,092,582,021,850,539,637,527,069,
266,664,453,441,323,898,560,547,507,937,864,209,900,579,764,150,538,661,547,
405,851,116,052,095,400,008,509,387,304,842,248,641,346,818,414,574,939,364,
903,973,708,352,247,177,387,799,617,350,510,510,313,366,011,073,568,864,705,
964,989,306,700,679,682,385,091,068,714,071,681,208,863,828,810,784,213,880,
969,333,974,618,847,188,651,152,588,135,271,691,065,444,648,198,409,444,298,
204,311,057,887,955,103,994,274,521,168,564,945,224,473,319,626,120,587,962,
656,500,146,107,959,470,268,363,520,073,314,498,996,408,388,405,091,499,382,
800,465,308,307,665,178,378,695,061,812,068,769,715,306,914,206,114,228,458,
724,606,020,994,033,654,921,503,225,169,231,493,640,522,508,733,651,126,176,
594,235,284,391,350,874,425,384,882,867,890,430,002,116,558,056,896,827,188,
925,937,499,090,101,241,907,846,810,548,430,226,804,776,220,411,412,949,477,
073,632,393,278,462,313,362,230,631,798,714,923,508,666,994,882,795,294,695,
849,560,533,223,970,569,894,059,075,587,517,236,846,753,894,586,228,623,709,
953,599,975,298,441,299,850,914,456,842,526,171,697,143,243,471,802,031,747,
052,036,662,203,744,190,880,663,397,100,219,497,205,232,880,395,471,661,441,
487,610,664,220,686,289,464,026,635,317,077,145,980,356,856,297,067,094,217,
514,338,725,852,322,227,116,109,476,458,126,588,809,095,516,256,407,144,231,
764,444,944,960,901,669,886,121,610,195,931,692,400,103,907,686,440,426,676,
750,731,498,850,629,362,699,256,455,412,404,712,704,001,235,445,274,518,884,
733,723,247,181,875,263,335,742,350,315,158,553,550,971,525,359,553,173,231,
284,301,111,702,310,947,044,526,073,731,041,897,275,366,820,892,909,283,025,
778,606,984,314,981,081,799,365,299,684,043,680,721,270,415,827,779,706,550,
676,922,019,772,536,964,490,045,535,216,372,701,993,656,954,164,845,084,398,
516,539,779,805,052,873,090,395,526,351,045,563,844,927,665,393,025,331,759,
689,889,079,857,404,505,496,804,040,220,948,122,941,355,896,608,863,229,018,
445,183,733,884,153,203,451,266,699,920,682,589,667,457,910,191,538,354,705,
330,992,087,870,464,423,956,100,742,940,663,669,283,702,004,717,740,547,036,
434,454,796,067,008,352,842,246,703,735,715,875,652,246,505,064,046,989,806,
833,897,860,759,886,799,442,506,054,514,894,120,615,294,063,160,181,939,412,
712,460,375,361,750,855,656,713,591,285,901,164,553,485,999,690,556,548,124,
283,874,780,906,713,140,358,580,631,597,381,052,226,019,223,948,686,813,157,
609,470,777,778,621,415,135,645,108,945,173,170,997,551,091,399,227,182,603,
812,018,855,086,231,550,528,944,888,947,446,057,539,215,953,247,492,330,894,
639,605,594,084,969,758,475,575,376,130,116,917,371,816,374,487,327,884,935,
866,715,406,460,913,715,102,101,200,545,150,726,602,127,642,739,382,362,948,
256,587,436,660,551,134,749,518,061,920,635,257,186,390,023,973,658,808,298,
382,099,587,254,250,678,258,985,889,262,611,504,198,521,050,630,653,749,177,
859,967,294,679,276,603,485,442,066,047,231,972,333,565,870,264,173,409,365,
433,980,544,123,973,817,562,386,968,077,598,238,866,714,601,292,888,305,312,
483,748,431,090,807,507,896,483,682,020,372,002,797,438,879,694,437,113,868,
816,916,609,023,375,811,224,584,357,811,609,874,250,306,403,733,242,178,389,
755,829,116,242,375,395,953,878,579,882,410,173,519,749,912,086,610,866,944,
430,890,240,547,528,839,261,757,934,598,858,966,455,453,813,972,746,637,635,
753,474,641,213,576,601,218,831,240,272,412,224,200,073,748,184,957,728,983,
306,695,844,522,558,615,658,860,473,978,400,168,270,194,476,093,174,497,854,
675,576,065,622,680,272,942,956,240,555,006,163,557,780,984,827,196,695,778,
306,804,617,907,845,995,412,939,426,313,820,561,717,548,099,095,170,538,344,
478,828,556,573,734,498,045,089,753,857,658,540,110,841,851,992,741,551,782,
528,496,411,720,325,383,352,500,231,433,496,836,905,134,631,021,782,112,576,
843,162,333,520,985,462,338,935,070,543,747,166,773,885,914,475,107,723,753,
335,237,488,631,322,418,179,487,668,390,791,475,665,550,680,792,160,841,612,
507,035,540,641,425,335,623,482,193,671,935,309,649,056,754,367,111,870,329,
165,547,703,339,375,056,337,313,500,475,823,470,306,673,886,644,592,103,857,
771,201,134,810,047,310,069,708,028,247,301,726,008,597,699,584,165,579,982,
963,496,297,812,805,862,569,871,324,534,172,824,015,741,906,216,229,980,187,
403,045,554,740,480,280,122,792,138,663,350,119,850,193,701,647,453,828,839,
785,741,113,290,729,624,474,984,022,046,538,584,548,075,831,160,348,869,469,
488,665,013,134,784,011,815,691,840,254,602,159,353,449,497,587,483,017,577,
583,258,364,868,838,704,728,158,664,662,075,692,072,038,262,998,113,643,523,
640,019,822,670,057,437,704,307,848,342,122,059,808,776,569,289,881,828,401,
098,143,499,966,924,139,640,923,628,329,981,633,550,178,552,460,430,006,931,
115,608,508,774,795,516,988,407,025,200,284,082,324,893,673,734,722,897,823,
791,452,406,887,135,454,089,077,177,211,625,954,998,482,211,645,547,420,826,
233,068,631,461,709,267,891,427,785,825,029,053,091,114,386,114,486,004,013,
212,698,570,118,653,433,784,915,368,637,747,080,049,457,786,231,689,584,434,
659,428,483,051,981,162,190,217,309,860,630,997,897,262,552,830,195,442,410,
260,369,974,648,980,712,895,985,852,178,884,943,074,106,486,651,654,719,977,
278,568,953,767,502,501,092,228,572,787,551,860,549,517,213,269,676,369,841,
305,910,997,557,330,208,435,662,397,644,149,214,901,502,520,116,014,336,264,
419,250,386,519,457,818,806,561,630,637,791,364,864,792,581,310,016,031,703,
351,380,771,892,698,721,852,758,336,863,610,811,743,886,981,821,614,250,040,
132,859,004,323,072,076,056,321,702,145,379,714,639,765,299,978,894,179,605,
445,015,649,501,988,780,755,025,201,386,864,283,776,132,537,869,679,653,080,
405,878,148,598,213,032,575,232,209,142,075,087,656,780,076,637,955,772,046,
100,414,205,872,247,392,196,284,447,774,230,139,590,278,382,051,479,711,807,
738,126,742,753,142,157,310,431,795,308,997,342,132,419,115,701,715,689,208,
959,857,660,975,111,685,644,254,864,123,914,152,223,832,796,221,632,683,240,
370,589,230,907,887,459,745,376,844,757,713,325,746,815,433,821,785,925,269,
343,624,063,906,867,972,335,458,768,207,372,380,978,509,104,413,650,222,904,
209,912,520,369,389,325,714,491,285,750,069,119,545,731,743,760,322,963,465,
001,929,157,160,947,519,352,102,960,597,804,734,139,705,681,280,853,505,087,
937,845,819,863,104,969,317,687,083,198,094,904,690,034,070,971,059,792,490,
396,985,223,589,067,747,896,571,660,454,589,534,472,719,289,085,739,061,702,
792,045,213,522,821,929,839,398,968,296,479,500,393,926,937,558,208,291,908,
515,887,502,165,483,353,913,005,080,606,388,660,270,120,398,903,015,543,488,
660,818,897,604,013,936,851,495,249,396,204,593,502,789,289,797,503,988,491,
566,381,916,511,969,759,551,376,596,866,823,300,518,990,133,974,267,042,271,
773,124,760,098,197,627,887,646,867,883,714,095,594,502,121,394,101,709,548,
510,871,339,256,349,162,747,629,973,928,454,254,232,598,433,158,810,785,520,
608,145,311,381,281,104,633,212,183,558,506,284,904,266,925,452,108,149,500,
156,032,684,683,331,558,678,557,297,291,412,333,272,579,330,517,835,254,783,
034,764,175,034,111,680,117,476,929,022,437,703,719,970,502,598,117,848,537,
969,710,134,166,295,839,797,291,400,422,054,301,906,175,141,868,065,255,370,
337,173,980,244,935,885,939,706,485,679,124,811,196,280,580,395,354,045,884,
630,646,000,784,086,563,820,723,924,925,853,380,023,625,939,505,480,674,607,
397,657,606,950,566,743,142,155,916,718,821,777,650,140,235,173,116,883,581,
537,985,172,499,129,605,694,148,148,013,367,914,187,520,928,246,086,161,664,
079,840,149,304,878,608,365,596,310,930,077,484,686,695,403,866,676,940,178,
539,349,590,711,140,934,771,531,531,685,490,826,473,738,506,950,533,460,608,
740,105,313,574,044,557,007,272,764,024,903,831,593,085,080,225,322,338,791,
618,180,367,803,299,409,357,636,210,722,250,125,001,876,596,931,896,147,133,
464,908,273,116,651,966,259,521,111,174,076,874,457,365,638,666,683,682,051,
039,054,608,707,076,311,685,765,781,867,910,911,855,097,692,910,676,388,369,
983,196,836,598,087,204,724,520,241,221,791,262,725,250,609,816,646,119,484,
466,854,513,824,140,054,818,731,514,993,969,897,993,396,643,593,339,867,559,
566,924,413,680,237,905,911,281,777,619,103,204,234,084,635,289,571,580,429,
837,344,433,651,309,677,410,687,361,489,711,934,875,430,300,254,945,051,004,
493,654,347,632,327,435,436,538,186,696,986,795,193,854,147,051,003,046,578,
617,366,699,843,741,925,248,032,138,088,996,549,493,515,864,084,190,458,727,
948,197,006,396,096,654,444,571,725,183,728,041,036,349,854,262,163,409,715,
182,139,180,707,289,605,525,047,992,631,681,710,133,059,148,319,494,120,010,
360,574,302,813,310,600,014,084,236,698,617,714,217,265,136,247,990,140,744,
928,795,743,048,038,317,993,023,894,246,151,665,695,986,508,759,662,514,593,
346,799,354,446,051,432,976,993,237,784,553,173,906,206,298,055,412,071,667,
587,138,617,015,323,619,189,048,429,360,610,119,232,960,499,451,581,331,273,
227,497,731,522,824,806,414,886,680,190,774,092,000,466,259,402,757,583,077,
526,498,090,484,261,927,811,547,802,427,744,462,824,693,979,937,102,926,493,
508,976,661,260,297,162,753,667,616,640,067,077,348,180,352,935,836,289,333,
175,463,571,073,256,443,726,849,171,219,023,658,921,872,622,192,017,176,118,
730,765,329,824,262,408,137,956,013,842,510,218,194,960,009,090,252,770,932,
329,377,426,165,038,790,423,081,764,237,653,003,736,702,257,512,645,651,359,
289,907,973,171,007,921,108,330,628,879,243,642,404,890,362,871,287,753,519,
380,992,429,268,781,989,678,224,529,523,928,745,084,661,448,587,470,183,947,
377,265,845,205,438,182,561,415,142,235,870,895,325,742,169,155,034,878,500,
832,132,311,129,704,846,442,527,379,138,234,658,650,243,192,448,217,306,446,
649,291,391,914,161,458,742,926,374,877,144,912,693,439,364,876,289,371,665,
548,151,465,198,497,335,049,833,804,413,520,031,025,096,579,841,662,338,660,
102,568,218,642,160,513,068,483,384,924,540,649,820,432,291,220,095,174,346,
828,849,569,519,969,041,261,019,542,123,545,808,912,607,653,643,455,075,416,
872,923,487,328,260,775,220,087,770,252,519,267,363,633,897,921,021,995,172,
179,957,096,705,663,709,540,203,116,813,162,122,857,919,142,377,808,671,103,
824,520,175,813,650,021,259,112,405,884,598,582,307,474,044,953,452,944,095,
894,659,833,623,107,000,031,380,958,345,574,741,509,655,263,755,687,116,123,
238,351,977,319,228,573,771,224,017,699,320,034,151,231,615,367,030,573,456,
534,968,723,612,409,861,333,065,386,789,269,576,815,925,392,372,642,218,870,
710,056,316,110,391,086,251,697,663,822,556,738,328,792,979,411,947,560,712,
434,873,656,155,726,505,582,007,567,704,168,154,989,962,189,983,820,741,008,
143,978,687,176,687,912,809,989,243,022,888,934,911,015,671,337,630,441,136,
030,965,365,916,319,707,700,911,509,382,561,560,074,483,414,432,038,351,640,
082,007,522,979,223,136,929,673,976,097,672,036,584,051,568,578,963,118,747,
683,911,164,363,048,801,174,341,310,385,695,763,356,782,617,308,778,704,209,
951,038,268,762,590,852,067,416,193,409,352,127,179,406,859,981,255,853,561,
119,885,561,038,207,359,784,778,183,962,952,745,969,632,890,928,511,703,434,
966,522,113,894,681,515,166,579,605,274,200,938,543,731,092,248,559,092,049,
479,488,150,555,095,507,518,780,011,768,981,889,004,876,832,113,579,955,810,
745,972,641,358,856,418,211,084,506,640,892,857,356,725,140,232,220,301,217,
165,517,241,115,725,728,580,614,032,177,807,506,620,502,201,311,859,569,662,
260,408,483,723,035,191,457,841,004,251,707,112,163,639,881,906,383,478,863,
971,624,605,093,035,651,078,863,075,782,936,429,578,279,447,158,363,651,013,
176,475,994,440,358,127,054,187,812,382,021,110,236,603,090,760,954,230,167,
629,738,850,649,507,366,265,575,481,936,597,444,513,935,968,457,967,537,558,
100,592,058,873,643,268,728,126,890,402,003,010,437,680,593,342,111,008,800,
906,853,897,573,505,541,159,561,664,163,540,020,791,616,198,470,878,535,654,
452,340,780,406,432,183,504,508,168,076,786,577,575,796,143,079,513,658,416,
710,521,366,436,667,415,394,986,331,605,007,727,475,580,312,753,045,484,874,
161,956,924,086,687,792,830,974,461,294,958,307,334,118,323,078,612,432,779,
881,095,537,638,740,576,053,322,650,152,241,397,056,394,985,222,770,690,361,
870,407,320,539,978,864,481,696,046,532,676,822,151,341,588,448,178,169,790,
042,473,673,340,558,911,910,996,801,612,072,688,101,969,971,490,044,189,261,
527,185,426,606,474,390,783,040,831,723,436,343,904,780,778,873,048,972,616,
358,707,629,555,676,653,143,903,173,796,065,871,538,097,706,382,387,355,258,
231,213,662,105,147,427,923,399,641,963,832,269,866,516,211,239,175,349,556,
393,722,238,583,017,936,940,052,541,952,484,083,646,046,668,586,390,745,772,
679,335,232,072,271,844,157,593,593,672,639,533,342,992,405,473,622,451,999,
194,153,583,083,331,203,592,267,084,715,278,028,669,454,127,874,127,127,314,
237,003,081,976,394,761,158,702,006,269,061,518,125,348,974,863,340,810,844,
945,124,366,116,243,040,600,226,760,094,134,137,782,160,991,706,600,747,587,
561,924,993,761,409,244,850,606,255,387,063,445,585,143,168,312,430,001,951,
606,731,970,140,491,109,367,517,800,067,063,484,443,229,189,636,875,959,440,
751,073,139,674,714,619,234,702,350,529,855,207,379,497,044,468,446,110,468,
198,858,064,808,537,763,555,114,254,204,165,802,594,095,104,248,372,338,812,
933,653,793,506,924,496,021,345,327,733,910,981,920,355,152,819,161,055,444,
230,687,910,481,735,930,995,708,228,200,013,976,955,558,164,438,522,395,232,
250,118,445,775,717,819,441,131,845,275,281,039,397,061,682,054,226,401,287,
445,459,881,514,222,539,068,750,125,963,584,736,050,637,537,484,156,783,333,
001,242,886,913,926,463,158,308,231,510,102,612,854,465,290,424,044,930,395,
642,064,495,516,020,749,900,308,616,244,024,894,765,357,968,965,981,001,034,
419,570,012,280,041,484,144,872,052,736,450,642,304,374,435,273,657,487,227,
152,301,929,897,303,700,837,421,273,850,166,787,941,525,860,414,327,013,827,
951,511,631,696,071,809,177,772,221,516,186,819,706,503,320,644,730,763,974,
448,033,909,640,967,265,339,368,900,436,197,240,882,379,685,329,767,990,195,
375,652,125,796,986,657,301,970,654,882,897,021,389,026,734,014,938,880,153,
465,113,147,200,595,272,040,519,156,868,754,356,675,851,102,797,065,914,102,
953,578,226,939,254,598,896,490,193,407,332,557,886,472,638,480,677,505,615,
545,408,710,059,762,424,837,176,795,977,053,697,641,393,871,859,811,093,996,
197,461,334,870,624,268,635,123,539,082,386,488,504,187,079,582,149,127,576,
734,856,651,215,019,078,434,774,667,980,119,462,030,936,256,390,004,220,757,
322,848,791,641,880,089,654,021,873,368,654,613,311,861,554,698,093,673,020,
293,431,399,370,807,463,801,379,109,319,992,961,179,392,565,484,500,630,694,
929,108,648,813,700,256,735,003,003,845,186,224,969,935,987,757,242,274,494,
506,759,513,911,247,326,855,929,978,877,106,724,880,924,760,563,561,352,978,
235,419,738,753,137,664,896,346,279,817,473,402,361,085,319,542,381,552,986,
972,623,626,398,002,879,391,897,037,506,064,315,144,294,770,292,116,457,028,
781,130,184,022,462,267,338,106,080,629,103,958,011,725,679,474,720,110,950,
957,968,495,049,590,701,472,885,783,730,252,705,238,784,831,415,864,425,508,
634,381,351,191,891,512,167,715,539,647,941,669,320,647,420,148,748,733,629,
850,901,481,344,176,981,718,597,654,237,943,548,794,396,776,142,777,473,120,
874,316,277,224,822,194,271,016,222,928,516,666,869,234,784,932,238,446,774,
205,852,290,514,191,633,674,868,047,531,567,776,232,810,787,408,762,909,672,
457,204,130,337,284,246,367,831,281,479,892,214,033,110,778,013,116,936,551,
500,116,889,139,712,868,753,329,757,882,665,089,814,929,329,709,857,566,024,
573,430,305,281,673,578,683,367,354,160,515,841,537,582,603,676,127,556,479,
000,539,858,569,664,974,524,453,486,382,263,420,402,423,208,914,769,410,281,
818,971,861,014,509,880,622,790,823,570,324,139,537,167,204,380,004,010,582,
295,313,168,498,137,964,833,428,181,902,960,924,097,081,932,966,437,998,601,
141,987,280,796,927,348,302,732,990,059,046,572,204,117,162,063,869,116,916,
731,541,383,036,629,933,732,177,945,654,760,010,596,340,363,773,848,832,211,
626,503,419,482,938,204,926,057,489,119,915,905,072,601,496,832,640,819,618,
467,683,851,169,460,192,557,382,541,449,780,072,502,494,381,242,184,212,413,
776,344,057,398,271,460,320,780,524,310,941,870,071,088,931,499,732,616,852,
413,336,040,102,934,482,126,046,826,823,475,593,198,308,529,667,061,873,752,
010,263,644,761,643,449,009,182,157,754,328,817,939,642,743,909,262,537,769,
907,197,803,256,703,598,697,644,497,710,199,638,269,968,426,545,304,987,736,
711,047,232,819,734,246,016,191,304,846,421,984,924,190,126,048,958,233,675,
100,977,085,935,564,919,021,268,979,291,856,817,344,311,462,433,704,385,833,
312,263,795,308,484,707,535,498,643,438,463,987,027,997,686,041,242,001,675,
981,081,265,450,689,495,992,238,992,701,801,034,169,738,926,392,212,831,094,
935,182,377,341,399,419,277,904,133,351,158,270,418,207,449,847,791,822,807,
507,960,987,923,468,061,060,407,425,832,896,684,324,823,337,281,619,570,294,
281,529,932,030,752,773,918,795,313,210,371,441,865,391,672,019,059,835,698,
397,549,722,956,399,894,870,850,379,509,019,606,442,394,681,737,146,012,988,
317,077,360,457,127,931,888,557,606,642,590,283,873,318,859,053,354,033,878,
885,871,887,264,948,600,013,480,546,197,025,874,577,026,413,381,808,303,556,
831,854,690,434,952,130,910,085,128,149,916,138,640,352,466,353,996,103,367,
276,821,071,323,153,201,087,316,404,520,361,975,091,473,283,025,662,203,760,
062,095,249,665,999,473,995,042,876,031,076,856,329,897,255,573,954,647,916,
625,557,543,433,966,076,629,486,783,912,345,682,075,642,350,212,744,265,430,
120,508,756,712,984,149,662,020,937,952,061,989,435,654,696,890,772,737,334,
565,014,797,948,981,918,854,596,653,667,538,574,783,780,013,474,002,913,961,
181,818,234,477,004,222,115,393,284,364,635,902,194,249,119,641,651,403,906,
795,763,394,641,237,108,577,912,551,422,226,562,343,111,247,525,763,681,861,
712,065,192,114,340,403,917,482,420,367,712,177,931,974,570,508,247,194,279,
192,163,833,311,130,790,110,459,712,976,284,343,036,119,534,712,398,184,453,
234,459,130,698,092,525,351,566,450,792,421,505,310,182,618,964,412,894,265,
725,722,143,291,832,957,720,234,989,890,712,970,415,909,897,352,193,393,092,
152,494,462,403,480,498,232,786,477,182,353,743,986,639,960,859,042,251,404,
866,209,879,860,080,836,744,997,337,559,341,594,582,906,985,688,219,176,838,
507,071,331,505,376,319,106,852,797,865,496,641,120,449,501,788,949,025,768,
331,956,922,337,682,469,906,514,850,905,309,435,746,547,868,202,142,593,037,
469,948,287,056,570,015,056,068,403,272,068,918,788,631,516,324,549,764,522,
747,643,459,389,324,703,756,762,309,544,775,661,583,324,143,366,804,361,585,
141,632,355,514,898,321,303,218,709,132,892,490,429,170,399,767,184,827,238,
034,869,014,943,854,443,663,073,388,136,733,425,734,889,747,112,179,353,523,
778,164,138,534,382,299,307,808,466,753,833,436,657,372,093,646,682,209,276,
619,014,199,521,767,655,404,202,362,941,308,389,889,458,580,657,428,223,228,
637,309,653,568,537,977,409,588,857,772,948,998,807,903,095,821,171,609,250,
792,046,548,033,679,211,257,809,081,175,894,445,833,401,885,581,835,860,266,
690,833,139,532,782,194,614,967,106,298,470,312,842,225,111,384,518,958,001,
844,724,345,288,528,405,612,913,809,744,461,602,827,962,213,461,188,239,129,
346,368,465,499,541,066,043,815,528,199,580,631,523,773,476,732,310,037,441,
539,842,136,117,546,913,842,488,099,864,929,787,807,305,307,405,357,276,336,
313,615,173,143,980,318,540,189,237,181,469,942,301,205,758,484,544,504,843,
423,743,721,719,724,520,344,454,820,085,675,896,270,357,410,561,365,622,700,
493,735,197,237,958,735,794,078,430,365,827,043,112,611,139,769,062,473,984,
289,210,828,020,220,258,247,913,306,836,989,434,645,656,773,114,775,144,037,
051,091,558,570,943,890,784,955,872,789,522,935,971,227,552,699,941,980,472,
953,154,040,882,730,970,830,745,578,900,922,424,046,938,463,143,488,393,945,
859,557,009,995,035,765,642,893,157,447,279,238,981,589,716,763,339,306,952,
381,973,239,481,329,263,040,706,627,506,500,274,038,086,657,082,256,379,424,
296,539,188,111,085,366,515,472,847,765,509,594,804,604,615,500,114,119,388,
651,321,242,255,068,893,414,425,051,468,981,247,719,336,556,509,104,675,510,
909,656,348,723,025,842,651,733,523,723,007,698,404,070,245,197,571,218,820,
117,154,816,692,826,229,968,468,517,619,975,054,341,414,524,141,398,648,719,
829,617,100,609,530,611,255,066,447,898,307,006,434,305,269,574,236,048,036,
244,410,095,400,385,525,654,997,225,010,569,106,745,975,993,069,751,428,882,
555,352,234,506,122,015,437,860,564,993,312,791,809,947,091,972,475,187,225,
273,028,881,275,894,817,001,548,218,429,000,945,810,809,659,528,848,671,419,
664,062,314,331,900,401,356,402,246,179,919,287,393,700,411,608,413,443,916,
417,809,734,483,005,118,386,519,522,404,947,504,487,662,369,632,174,921,614,
408,366,195,094,707,533,997,168,140,316,392,064,916,975,985,387,485,923,020,
637,629,608,102,059,233,827,480,867,396,165,802,954,100,773,981,206,238,732,
175,485,046,654,404,962,348,826,722,292,956,732,678,092,678,955,794,832,073,
558,839,764,905,129,103,615,688,689,057,259,866,076,724,203,146,581,935,625,
169,543,125,972,245,102,568,247,494,788,394,336,404,750,667,467,081,233,140,
289,496,407,537,588,711,540,031,665,518,474,450,992,427,830,603,215,838,595,
054,380,670,853,564,662,248,402,390,316,491,302,964,769,456,875,526,246,738,
248,682,100,305,123,828,052,478,611,679,104,559,819,551,459,649,518,580,863,
832,646,237,176,036,023,425,112,611,616,819,032,735,427,939,087,680,363,411,
203,009,959,585,020,309,803,378,914,643,052,855,252,471,587,649,007,325,188,
330,664,377,545,712,065,679,919,042,198,990,957,229,464,745,356,874,313,727,
544,114,797,708,873,852,332,798,928,505,577,267,638,144,167,316,021,484,881,
733,680,066,732,932,866,967,363,092,053,909,472,064,749,415,643,446,388,940,
952,940,137,515,287,109,556,623,763,500,169,859,075,834,822,138,637,314,791,
302,037,683,441,623,506,824,103,047,515,693,722,186,711,510,663,466,205,004,
218,241,174,492,595,397,572,057,990,498,968,198,989,555,747,032,732,107,044,
247,525,056,847,365,471,705,914,030,349,540,658,804,685,535,105,557,578,273,
861,484,647,481,605,228,665,341,909,645,815,793,734,544,225,932,898,566,902,
739,299,667,931,138,100,584,329,211,817,937,667,180,912,266,513,940,420,242,
178,434,449,899,420,597,833,138,174,511,083,577,252,845,018,228,670,173,673,
224,757,046,172,177,033,453,739,014,683,585,583,807,401,784,059,523,977,048,
195,617,835,986,886,675,172,390,553,461,497,080,864,895,984,812,921,017,945,
143,368,664,069,209,191,019,920,055,386,423,859,422,503,664,229,177,205,323,
071,359,226,039,969,301,900,712,773,799,747,533,214,467,351,573,987,312,349,
899,415,730,158,785,375,188,634,552,014,276,536,261,574,329,321,393,482,840,
533,345,065,009,558,441,805,539,379,729,391,786,027,303,862,946,911,492,990,
312,699,202,109,562,526,502,989,681,340,331,153,055,728,354,748,679,283,856,
397,565,755,356,458,154,907,993,065,368,423,762,221,221,092,952,459,992,360,
044,144,337,710,398,867,345,871,008,095,251,921,299,029,693,258,805,795,437,
427,438,058,428,284,334,411,585,532,030,947,535,204,465,754,779,177,921,780,
238,112,769,124,654,264,760,989,858,605,483,189,923,717,092,169,439,694,235,
806,762,073,264,326,597,773,417,473,501,519,478,762,131,441,943,889,301,386,
485,261,608,463,484,603,873,752,312,788,065,044,451,157,093,071,955,085,038,
050,122,145,762,129,505,028,836,463,315,694,365,555,824,147,145,261,438,851,
934,117,598,658,210,732,737,173,832,987,965,225,963,327,020,069,710,996,238,
014,303,007,341,806,645,393,576,558,465,070,752,620,146,240,909,594,856,239,
993,301,254,104,907,396,868,550,074,579,160,189,400,193,035,001,780,423,586,
509,194,426,677,556,895,613,906,475,784,573,330,968,062,542,427,151,722,981,
158,347,374,663,834,896,184,242,353,867,387,470,448,177,388,484,033,683,087,
881,846,864,078,034,230,059,629,704,215,579,192,113,532,522,829,492,971,106,
898,896,034,493,602,036,175,983,160,269,646,879,190,523,515,958,871,140,224,
300,894,880,874,771,831,466,088,703,784,032,196,509,758,681,877,257,554,577,
991,370,058,824,962,921,157,737,938,569,914,409,420,386,193,693,505,420,915,
766,401,887,850,573,061,977,500,571,079,900,792,954,557,652,788,934,572,727,
964,744,393,363,498,655,815,926,270,592,640,651,778,224,953,885,446,007,390,
484,417,644,582,787,799,484,857,852,156,310,052,518,567,954,854,415,307,262,
925,870,647,900,314,875,762,913,569,992,232,721,721,473,987,278,148,519,935,
718,866,403,695,603,074,088,432,129,267,324,855,203,302,439,174,869,046,025,
438,757,322,001,603,910,843,398,583,721,435,169,950,316,470,248,110,452,992,
391,595,033,414,497,156,805,478,358,288,241,952,613,122,877,705,050,090,118,
156,155,768,156,070,423,602,752,396,971,498,299,197,158,028,874,264,486,475,
671,726,094,783,237,293,819,290,481,900,075,883,158,993,791,534,143,216,492,
644,741,851,049,587,455,240,128,723,370,079,644,804,264,399,631,946,125,875,
309,456,704,129,243,699,914,659,055,793,069,748,044,368,823,230,950,703,106,
673,378,510,570,699,422,000,030,318,237,448,927,374,726,107,824,306,595,174,
299,263,319,416,244,548,233,984,661,314,045,362,835,442,316,334,519,735,912,
299,967,544,984,941,323,955,008,843,284,566,917,931,244,592,970,909,654,842,
668,295,055,602,189,235,749,191,740,680,390,028,780,434,394,769,762,899,692,
107,425,749,708,367,021,690,729,370,715,915,014,865,642,122,219,862,745,711,
648,594,499,464,026,994,886,058,318,727,625,868,690,565,952,544,329,928,690,
605,332,396,933,414,314,664,714,461,788,275,054,710,264,433,917,865,392,813,
926,134,666,299,138,665,709,496,091,858,306,474,008,479,482,965,914,723,237,
780,375,984,892,143,377,589,449,397,628,162,696,145,181,129,434,320,399,596,
215,101,987,218,003,305,394,214,154,580,255,163,344,931,622,649,466,150,883,
086,858,549,430,496,399,970,482,408,383,183,961,156,197,759,612,152,490,475,
274,581,383,008,537,855,042,367,266,594,979,304,410,161,996,558,208,809,422,
388,952,257,375,942,950,710,556,696,215,609,247,849,946,405,117,755,538,822,
686,420,896,525,312,830,744,684,583,945,999,787,148,684,040,659,370,491,396,
041,956,909,563,426,320,515,233,949,583,353,497,355,236,541,682,290,847,090,
878,969,842,263,013,819,091,869,270,983,417,224,780,193,352,780,080,820,989,
901,359,399,885,297,021,028,204,533,520,029,807,733,646,638,290,091,844,341,
174,536,210,139,332,962,305,075,512,667,813,843,380,879,297,201,048,980,628,
909,131,020,568,839,490,239,953,001,441,106,344,480,534,056,825,149,340,815,
952,005,878,102,836,941,324,778,562,421,002,371,696,427,750,308,132,302,299,
276,002,317,495,734,423,174,668,707,480,162,125,171,665,897,828,036,096,319,
368,932,197,602,639,193,490,490,152,050,349,833,073,042,053,256,400,648,960,
885,842,930,230,467,070,255,839,795,593,606,156,144,035,640,460,056,292,035,
528,327,897,414,115,976,253,816,011,050,053,188,093,632,056,532,218,710,003,
649,552,561,442,024,359,807,283,133,164,561,654,489,285,711,794,816,952,495,
616,482,384,477,630,359,061,638,731,872,331,443,593,920,047,479,280,660,413,
307,957,422,586,671,823,218,395,435,334,087,882,115,043,235,421,711,429,550,
957,391,761,208,326,788,245,339,541,569,038,272,127,044,678,646,131,061,411,
170,034,157,042,449,876,389,449,909,793,828,528,355,216,878,554,765,442,517,
700,878,249,224,068,298,558,899,593,418,753,374,091,139,562,166,785,252,304,
217,741,121,054,770,293,878,682,106,306,506,241,813,148,373,859,044,315,687,
355,953,925,477,213,310,729,140,340,816,791,033,266,579,725,305,090,643,547,
994,085,941,271,284,744,588,180,509,433,018,755,184,873,091,067,801,113,236,
535,341,926,966,658,326,135,289,466,367,262,621,000,800,647,062,658,819,792,
786,121,803,473,851,518,904,619,392,407,151,063,172,997,642,029,926,487,592,
195,149,301,448,037,369,227,958,307,031,716,221,252,707,711,475,686,184,969,
315,519,507,638,753,898,150,048,083,510,266,575,427,908,834,314,134,784,062,
788,314,292,783,497,234,785,713,593,314,200,456,657,385,278,924,799,253,607,
879,098,479,223,728,868,264,177,333,288,377,368,669,311,316,715,181,684,428,
303,960,144,169,984,729,530,399,827,901,790,701,589,629,641,979,688,587,721,
056,829,402,803,111,252,324,287,938,325,211,491,643,224,127,892,808,784,158,
611,227,258,927,115,571,527,792,490,972,908,680,514,452,683,491,378,137,095,
107,459,924,236,503,472,635,583,388,579,867,392,796,633,639,294,184,135,688,
966,300,160,291,754,047,843,661,089,830,518,493,330,489,645,062,008,019,017,
246,702,090,158,866,497,875,951,873,835,736,383,980,292,586,989,562,047,525,
257,245,211,249,212,663,107,585,181,405,181,155,688,985,682,892,393,508,199,
440,532,705,652,662,168,547,248,297,483,805,328,092,006,798,030,197,574,686,
159,064,353,780,390,139,652,602,910,749,407,110,501,559,415,638,597,639,094,
123,644,205,324,058,724,733,026,295,421,632,795,357,282,341,708,156,111,318,
697,535,325,518,772,644,546,418,783,427,149,816,473,025,060,283,929,599,903,
433,310,404,232,677,855,094,211,309,245,753,323,046,292,846,182,110,299,678,
662,579,698,590,038,029,857,678,390,127,542,944,977,842,899,991,951,156,168,
809,883,660,279,924,095,715,205,439,529,308,354,886,016,677,412,313,398,056,
023,439,586,990,269,267,346,552,061,085,339,798,885,790,884,859,735,678,919,
962,159,439,985,737,338,574,828,060,711,531,161,301,702,820,064,543,272,104,
731,623,348,945,343,191,201,828,675,235,885,981,532,893,418,074,172,401,059,
552,268,811,787,275,946,268,438,218,083,022,232,580,289,620,379,243,007,907,
410,317,615,312,255,086,895,183,138,633,521,557,564,645,234,619,958,646,179,
189,226,898,669,308,706,497,651,836,045,842,814,952,452,617,027,910,576,106,
019,138,766,609,183,473,617,766,434,298,751,546,067,954,017,385,020,322,425,
907,857,527,909,058,281,551,949,520,087,077,186,297,926,166,032,321,105,168,
478,797,140,322,769,511,409,262,535,350,845,145,503,381,152,546,511,217,693,
563,356,750,504,300,638,330,439,053,874,397,239,701,860,185,625,492,566,124,
634,192,293,378,840,259,078,907,314,726,063,685,096,201,382,317,632,549,131,
058,484,898,712,169,007,837,488,332,288,838,509,007,906,774,957,315,764,189,
947,698,990,228,357,464,720,776,562,548,320,490,819,356,599,976,579,063,903,
236,628,952,791,186,142,693,014,878,945,123,474,283,799,178,483,228,060,313,
361,978,208,390,938,104,153,141,995,373,158,408,992,801,516,925,275,706,496,
514,255,394,391,373,646,112,436,188,008,977,587,985,306,520,082,052,591,179,
991,280,025,073,101,653,807,198,440,383,130,725,436,192,194,774,687,217,077,
068,469,465,109,718,570,797,697,891,057,826,810,144,324,428,688,487,502,544,
907,810,875,144,482,698,265,098,890,893,033,683,764,087,780,733,414,999,182,
726,497,444,584,379,543,323,514,708,550,107,588,573,676,203,613,217,609,778,
465,742,859,740,170,574,859,791,170,043,860,033,159,164,148,761,159,254,839,
604,840,566,041,819,146,760,157,832,459,482,502,684,455,206,081,135,511,298,
603,096,837,805,966,946,237,107,361,631,011,167,586,608,781,592,049,951,097,
524,842,131,909,616,024,770,985,773,057,506,530,454,598,775,845,693,673,494,
877,675,619,047,232,111,647,033,291,963,315,541,602,646,829,094,441,877,917,
149,632,402,325,989,482,986,048,568,607,536,658,521,408,114,663,479,738,904,
185,398,622,155,172,166,434,499,243,050,859,494,192,552,459,961,061,373,525,
823,356,600,618,532,735,903,207,996,053,759,891,552,912,002,447,518,181,984,
497,713,083,298,367,276,557,639,244,536,943,099,929,733,904,814,803,234,354,
044,975,656,493,456,613,953,580,262,942,787,420,141,035,739,082,600,682,221,
527,325,101,659,707,798,646,421,562,609,523,425,281,540,344,119,406,256,366,
328,789,790,499,175,115,066,269,780,116,788,320,387,952,521,406,270,361,320,
408,695,110,342,733,518,100,078,535,540,972,529,801,361,374,499,910,195,056,
576,459,239,123,365,556,398,582,694,902,733,737,524,436,307,010,280,603,752,
104,645,900,780,736,512,601,054,959,312,393,413,423,775,159,494,376,153,281,
783,407,748,157,407,853,770,335,633,537,898,584,824,955,700,725,369,820,595,
180,857,645,478,179,156,718,631,775,188,088,086,280,959,326,984,712,706,309,
010,199,593,642,017,492,083,829,914,569,832,177,387,935,570,498,476,896,621,
127,654,403,192,344,975,810,349,812,920,825,706,656,163,868,883,171,740,322,
438,758,042,899,649,594,900,565,993,730,374,550,187,407,736,713,814,175,154,
937,572,799,169,144,691,392,785,533,992,054,034,140,293,336,565,592,295,163,
539,387,253,081,580,682,139,426,273,593,075,085,091,406,661,843,513,288,258,
885,553,501,335,433,405,729,061,171,957,788,638,845,890,399,459,448,897,490,
000,872,558,712,314,443,299,068,890,663,165,785,725,297,800,654,010,772,517,
688,054,538,264,893,816,229,388,061,166,642,100,471,379,452,033,484,759,690,
462,347,901,948,463,690,350,272,796,970,255,735,100,674,719,672,846,647,453,
485,976,869,731,307,720,978,007,907,542,162,482,630,274,557,503,984,453,160,
803,976,421,393,181,804,782,043,765,928,565,635,775,899,472,199,608,817,536,
321,336,478,400,932,929,639,160,326,144,548,659,950,068,830,584,111,014,541,
156,130,345,383,041,230,135,810,347,903,226,171,596,521,377,063,595,751,768,
681,951,483,185,345,971,040,252,713,673,125,421,055,153,045,221,701,228,788,
014,165,684,582,709,613,979,877,807,792,292,048,624,189,857,752,525,991,149,
104,674,580,798,334,415,980,988,392,628,366,205,696,170,402,897,360,518,922,
560,507,448,468,636,385,487,525,358,725,320,312,150,000,575,486,611,909,471,
865,331,266,452,790,480,284,825,232,548,360,641,923,066,434,441,434,644,014,
967,266,432,459,567,617,118,771,237,479,165,785,119,009,882,456,371,033,630,
266,801,233,732,031,896,766,694,320,619,466,609,149,098,312,816,420,675,550,
015,004,962,999,840,158,697,968,602,590,265,375,251,876,013,469,350,965,916,
712,866,027,676,994,617,813,059,548,838,524,647,309,725,354,452,007,816,993,
839,104,134,388,584,373,233,136,682,678,585,103,914,785,320,046,744,591,459,
945,659,008,936,564,830,990,745,233,042,575,112,484,445,758,115,871,370,897,
959,126,013,906,016,267,042,836,256,971,008,165,519,204,543,723,682,383,592,
466,663,693,895,195,892,740,039,465,480,540,407,255,671,384,280,497,876,804,
548,044,395,045,661,042,825,497,230,815,577,638,152,237,364,743,596,810,867,
338,019,065,814,725,423,736,724,763,957,430,368,494,430,828,653,038,311,283,
924,208,938,587,411,284,213,298,504,578,144,790,390,555,863,124,187,051,345,
541,109,804,210,106,354,991,396,834,187,312,080,522,240,935,614,343,573,595,
322,447,288,325,605,458,410,493,179,776,403,491,055,056,528,435,860,991,203,
566,804,633,908,350,291,842,286,700,831,606,475,588,684,098,889,476,175,390,
235,503,824,608,398,574,375,034,572,283,978,426,325,579,239,626,391,426,743,
915,258,891,930,764,772,166,563,235,242,959,976,954,479,099,692,104,654,878,
450,579,977,587,263,617,178,280,450,773,266,869,125,199,410,303,747,026,861,
364,935,033,862,983,793,908,634,061,121,335,240,504,195,706,015,612,025,703,
350,206,800,880,787,251,128,083,689,443,584,021,055,557,572,454,900,379,182,
265,633,796,924,987,888,671,461,117,813,922,746,338,021,602,318,900,529,677,
121,739,553,556,606,052,976,685,399,583,074,176,742,743,838,014,451,379,497,
085,150,384,828,257,557,486,379,691,312,572,337,531,949,828,089,756,343,047,
105,429,128,168,913,869,050,144,439,679,391,043,029,000,744,562,223,810,097,
934,587,211,776,856,177,116,024,654,237,296,406,287,219,693,474,544,128,651,
446,520,650,212,147,090,244,691,467,893,425,204,540,432,397,116,547,230,504,
930,734,566,457,301,468,740,463,935,627,459,137,327,135,878,647,319,372,955,
710,370,964,595,740,686,272,412,187,583,664,804,552,808,355,176,651,966,816,
162,866,689,178,471,157,229,846,222,848,908,285,385,522,633,170,105,466,869,
161,630,053,012,739,598,704,293,188,584,782,605,874,094,364,565,449,541,343,
906,107,870,398,781,200,742,060,471,917,357,344,887,182,286,095,703,417,869,
766,696,600,356,897,131,797,164,635,881,266,896,156,110,005,957,362,372,201,
378,237,303,699,303,616,673,530,710,927,994,981,385,857,984,587,330,519,310,
088,016,133,837,395,679,748,578,884,744,146,614,225,014,323,025,705,516,360,
957,053,362,788,466,578,971,750,508,047,941,769,962,723,040,921,516,077,943,
879,128,345,924,749,067,583,623,395,427,467,516,430,031,005,211,421,602,138,
784,440,089,817,553,650,668,025,210,502,779,392,415,532,330,277,916,591,735,
297,781,089,816,217,028,625,168,034,060,871,989,874,338,163,091,105,945,180,
278,030,163,826,125,739,197,855,697,335,974,921,553,888,451,864,396,796,403,
171,280,067,120,899,830,796,008,789,798,983,532,791,276,658,096,061,039,283,
439,034,599,805,687,619,328,916,191,668,546,291,629,596,345,154,977,985,202,
841,360,358,262,662,741,095,508,673,786,807,919,230,444,128,890,115,911,608,
894,364,993,467,803,421,222,070,100,783,764,391,535,513,520,605,507,819,623,
101,412,786,612,581,068,705,637,738,934,102,625,465,238,615,096,597,933,066,
185,776,415,495,896,945,646,173,055,838,870,714,844,550,331,170,841,497,187,
959,996,867,129,380,516,463,524,372,223,571,007,916,412,493,013,656,065,628,
669,334,238,580,247,116,317,474,650,243,814,829,032,032,948,302,686,547,067,
274,786,891,701,697,185,534,791,230,243,850,825,615,252,089,391,845,275,876,
991,885,000,544,270,146,766,087,963,953,237,900,200,791,953,077,701,977,778,
838,028,285,235,658,630,672,376,097,637,390,280,636,098,357,423,456,477,594,
351,851,512,903,326,882,674,311,350,659,752,346,885,808,474,355,421,227,498,
658,448,734,114,849,270,243,334,456,817,792,273,236,785,492,410,063,523,786,
483,711,533,857,295,075,022,252,453,455,385,636,523,019,047,331,330,417,207,
816,781,876,462,514,037,650,574,030,324,904,147,255,523,423,241,576,656,371,
435,007,784,389,794,830,510,759,027,881,040,221,289,707,554,432,433,047,988,
824,665,862,319,161,562,872,201,535,326,567,642,005,976,672,300,973,669,078,
106,701,824,562,510,939,523,776,210,293,880,713,434,428,118,763,022,212,531,
835,273,762,446,174,948,834,597,137,552,718,717,578,504,415,525,226,581,121,
779,707,609,027,958,210,955,540,142,481,386,303,037,974,165,508,016,727,297,
454,188,484,468,191,029,400,839,281,935,390,890,695,090,353,877,833,729,922,
043,434,191,365,458,869,666,254,541,444,830,335,444,827,603,022,257,382,112,
592,692,072,228,829,723,520,643,119,049,483,809,132,005,236,916,778,260,648,
133,719,714,639,110,896,002,624,844,361,066,232,277,988,976,555,167,918,630,
963,560,753,654,420,120,248,382,411,566,061,685,705,652,519,310,918,126,750,
527,462,507,419,845,602,154,458,817,211,598,817,374,493,829,995,857,971,404,
684,883,778,099,577,482,494,152,155,395,814,097,936,876,844,821,339,313,469,
637,682,166,640,010,656,230,247,285,953,140,982,968,006,565,805,337,377,196,
670,719,987,221,361,434,061,832,978,030,778,959,796,723,816,081,681,073,112,
414,452,955,005,284,842,147,815,586,460,836,518,647,982,767,989,451,048,649,
128,342,141,767,404,729,150,164,432,349,379,922,725,843,927,567,904,279,083,
434,168,746,504,414,871,539,341,770,978,139,716,337,303,318,216,792,885,329,
855,883,945,214,572,883,465,794,993,007,213,320,723,729,139,893,895,647,166,
890,540,861,435,244,422,029,330,086,461,914,873,024,693,164,717,960,826,570,
637,274,611,537,669,289,651,667,646,099,451,467,820,010,527,075,394,121,397,
730,856,773,132,682,235,109,627,932,585,728,754,090,377,229,968,569,896,567,
255,912,480,494,936,028,736,539,773,140,528,517,327,909,693,764,516,958,610,
958,906,697,243,163,385,455,473,938,604,287,480,466,633,655,220,772,858,757,
998,692,609,013,957,009,439,986,348,729,760,649,614,538,174,542,103,372,152,
830,923,046,162,319,215,456,313,308,631,177,751,494,410,997,895,919,534,821,
521,105,123,963,320,206,314,771,053,412,926,415,263,341,596,234,778,480,137,
751,152,415,091,971,144,140,634,799,533,911,042,435,669,499,208,321,602,117,
802,347,081,603,615,452,344,744,353,187,426,845,527,037,857,897,121,756,986,
395,110,501,165,479,307,541,908,173,737,105,779,871,931,632,025,774,603,348,
986,141,421,971,614,797,647,565,430,739,478,722,550,201,330,409,326,335,309,
870,561,711,031,925,588,334,205,606,548,423,416,321,803,903,334,984,048,246,
706,039,970,582,340,869,292,378,581,052,722,460,762,852,214,258,655,886,845,
297,195,426,691,614,684,426,716,754,499,029,008,231,570,332,047,802,283,923,
678,279,205,871,767,370,976,769,477,731,636,519,386,909,093,096,088,109,010,
508,574,185,629,128,989,689,590,378,452,666,884,548,519,532,471,346,622,936,
771,294,541,564,295,521,213,876,208,711,213,504,901,778,864,288,378,208,231,
101,895,075,789,713,249,856,053,566,987,127,496,567,450,428,052,569,576,460,
683,563,040,684,993,331,663,674,532,638,916,978,866,172,827,438,272,974,517,
433,436,421,451,995,830,917,795,021,846,968,742,131,581,303,464,793,969,762,
013,547,745,900,743,467,326,805,596,266,946,525,724,173,474,023,789,486,288,
670,905,886,144,552,732,800,296,122,060,456,724,833,311,992,039,113,900,276,
902,711,784,055,493,911,939,408,691,470,896,606,894,473,791,924,840,571,008,
352,854,353,332,549,059,138,828,416,729,968,659,421,979,711,339,367,226,261,
636,566,546,605,836,951,318,437,955,547,826,424,791,135,369,471,365,365,705,
429,403,241,939,931,176,328,683,969,920,777,675,251,700,307,202,998,546,119,
801,061,058,912,123,809,698,040,343,854,543,336,821,674,439,721,063,370,802,
660,241,883,652,926,753,911,669,292,027,013,098,930,880,236,999,444,007,258,
916,038,715,710,299,546,563,343,945,592,960,308,561,214,877,796,371,309,366,
695,535,989,274,738,052,380,528,932,401,702,239,627,122,809,678,148,741,145,
058,027,775,639,874,035,012,873,484,935,583,391,729,439,272,815,018,611,090,
978,776,396,285,922,846,940,482,176,916,093,560,194,459,747,989,048,259,961,
314,120,889,159,869,981,001,312,459,406,366,702,698,404,708,265,842,477,542,
868,834,612,759,125,920,683,504,769,326,711,644,710,604,621,976,584,957,497,
088,968,761,780,298,515,655,920,516,513,331,064,365,221,594,398,381,500,637,
283,082,494,504,560,575,552,795,925,642,261,728,637,261,013,184,544,084,787,
353,713,826,591,165,089,172,027,179,862,603,151,203,855,931,419,123,033,758,
342,140,703,535,406,650,789,584,333,141,447,533,853,668,688,601,351,962,408,
802,870,835,031,839,350,082,118,381,662,142,090,062,404,426,052,262,715,225,
905,913,376,547,166,272,195,900,874,110,060,468,267,686,213,963,936,690,297,
727,870,484,796,551,210,578,841,017,362,415,124,810,953,730,066,798,766,608,
112,047,828,055,453,278,056,200,832,103,662,454,520,073,400,647,798,478,235,
017,680,030,881,168,529,097,230,096,192,889,286,480,612,983,079,322,393,790,
059,046,608,081,404,977,442,959,766,551,295,521,984,540,651,983,494,978,868,
801,321,458,077,167,970,597,499,960,976,685,929,507,809,290,684,956,054,075,
228,152,701,595,309,694,282,390,219,388,953,738,707,236,151,914,331,341,580,
820,051,318,605,633,686,804,604,262,225,346,962,636,249,038,535,794,481,282,
223,835,566,428,135,546,934,801,347,928,730,829,041,716,298,086,693,728,743,
941,857,578,670,137,966,969,120,423,370,215,808,953,221,218,622,518,530,034,
840,970,938,693,537,969,118,047,279,244,389,309,090,205,220,933,071,530,985,
575,935,793,689,012,079,897,876,839,327,328,301,189,838,923,833,775,628,449,
558,616,868,044,736,447,212,679,683,455,834,188,235,672,369,256,736,905,292,
739,323,340,471,471,134,736,605,921,185,906,806,260,819,111,971,807,652,743,
071,640,643,987,508,840,556,408,662,606,066,391,907,676,342,621,953,361,008,
540,655,971,684,119,908,131,278,145,494,221,084,723,822,571,727,502,898,401,
416,229,249,950,913,078,102,372,705,880,842,550,224,847,592,429,142,420,979,
318,919,882,454,658,068,527,929,721,257,631,433,778,889,860,244,894,143,201,
787,934,543,705,444,953,840,710,973,259,656,246,074,474,552,775,268,367,445,
045,290,732,119,241,144,983,118,043,059,732,428,321,599,867,948,698,339,450,
994,771,787,028,291,576,687,496,823,593,362,684,664,595,249,034,496,303,407,
564,977,675,042,748,870,840,441,836,385,686,686,794,699,913,133,757,740,150,
828,405,235,220,114,977,700,619,747,879,270,806,610,237,718,441,639,584,153,
841,697,204,278,862,244,935,926,391,355,328,831,163,339,021,345,236,023,783,
430,140,735,609,511,755,536,033,655,247,176,239,928,328,287,528,677,539,265,
394,780,689,409,283,968,212,029,007,216,284,712,807,195,327,686,188,714,899,
593,532,376,745,761,643,150,975,023,648,140,049,226,289,776,619,007,964,840,
952,511,248,603,442,940,040,551,105,083,550,849,142,462,706,239,621,249,678,
058,447,354,484,893,543,750,044,237,807,905,784,314,844,012,541,978,624,833,
424,219,949,996,434,814,386,402,688,412,317,404,531,119,016,797,539,951,103,
298,017,617,145,654,818,734,399,603,528,528,480,455,643,353,327,882,117,956,
987,132,956,611,254,298,216,691,733,487,532,161,587,749,489,158,754,472,854,
645,162,831,568,382,819,384,823,353,887,870,929,713,311,888,847,237,499,140,
748,330,207,017,744,593,927,684,629,103,851,349,014,734,369,082,669,113,359,
696,171,219,724,270,007,573,606,753,239,575,640,857,443,764,229,264,276,929,
403,768,065,804,406,692,624,761,378,711,656,592,164,530,991,190,021,408,570,
706,169,654,333,416,690,295,864,444,581,059,910,666,272,691,813,190,894,468,
136,974,169,581,063,263,308,141,055,949,746,390,053,130,537,686,542,032,001,
601,945,664,531,190,903,477,564,394,479,499,217,367,353,634,793,797,116,219,
453,474,010,792,136,036,042,543,930,979,136,206,014,639,761,234,919,396,405,
467,113,820,377,414,446,918,852,150,839,574,209,012,376,409,424,110,924,260,
451,561,734,036,603,466,047,460,155,494,774,136,867,817,500,659,521,208,372,
967,895,094,248,886,907,590,598,399,685,713,364,753,243,049,258,614,885,496,
990,847,288,414,429,689,874,007,240,550,288,577,962,161,617,209,192,213,241,
854,545,510,502,651,807,563,210,054,905,747,812,760,965,386,614,329,500,283,
828,032,642,657,343,015,587,915,832,427,120,999,222,815,329,620,497,208,318,
364,099,060,353,072,437,404,687,168,867,183,726,782,309,943,148,859,355,542,
918,157,280,837,212,150,613,059,065,312,714,772,727,286,123,597,698,847,990,
846,027,610,568,217,770,253,126,840,195,931,931,296,354,510,519,335,576,311,
237,923,949,810,362,008,783,635,538,860,561,732,084,532,252,627,060,173,916,
622,975,896,764,082,353,039,035,270,498,644,456,683,981,962,136,037,673,958,
115,512,049,294,850,342,766,138,532,590,963,382,735,561,886,655,080,032,426,
083,077,254,145,349,378,514,775,316,609,042,528,686,454,982,364,029,932,326,
557,341,743,339,648,934,267,142,627,324,523,492,291,674,735,022,515,147,447,
335,782,590,670,196,337,870,722,647,110,059,676,440,569,633,382,370,960,498,
376,547,313,358,076,499,278,086,440,246,313,680,822,477,807,049,354,297,540,
988,589,846,812,662,467,618,150,747,698,382,053,486,387,181,725,556,581,039,
567,522,052,933,109,450,590,123,577,024,121,121,748,506,385,382,486,032,557,
545,593,821,430,853,166,420,551,635,734,757,984,371,829,200,640,773,329,747,
990,444,049,748,172,023,046,020,214,208,289,270,647,217,991,571,299,787,281,
176,043,173,042,005,329,274,039,770,095,602,871,104,097,328,951,614,176,610,
658,130,476,781,589,537,794,578,631,208,114,020,245,246,549,537,430,425,666,
485,780,270,172,576,183,813,725,366,608,816,449,973,527,204,856,247,811,837,
448,913,194,314,655,883,641,262,236,123,658,213,373,991,000,525,390,794,727,
178,610,221,614,434,642,700,309,553,885,579,079,424,943,007,659,622,095,406,
360,966,421,006,833,050,648,236,330,147,122,909,729,699,140,995,683,923,643,
259,926,233,762,022,026,537,449,205,232,243,451,586,304,483,379,417,640,979,
833,698,312,923,503,900,003,195,631,699,446,542,609,190,495,268,698,317,186,
034,166,354,798,009,536,624,272,349,239,590,075,900,323,938,222,104,498,267,
808,351,228,676,720,712,692,410,490,706,382,526,491,026,084,744,044,078,213,
299,487,272,424,430,334,928,939,695,249,528,912,793,889,028,895,262,466,053,
744,627,719,836,953,167,078,373,793,398,567,595,831,813,443,595,856,666,756,
114,648,827,587,560,864,179,761,492,267,443,719,496,454,339,934,995,671,028,
788,924,497,466,659,108,741,905,431,361,394,215,880,184,914,140,899,963,926,
955,828,546,685,655,036,316,563,377,232,624,874,903,721,648,152,322,060,470,
242,512,331,060,914,821,546,215,691,326,857,598,941,117,947,184,043,523,269,
696,961,549,286,284,139,677,035,132,945,920,486,892,942,846,340,884,417,125,
310,451,225,430,543,135,473,296,197,694,024,707,389,440,997,596,913,367,760,
249,139,547,123,912,175,069,473,797,084,489,110,439,416,589,149,290,661,044,
046,096,118,131,385,632,276,187,604,027,479,036,241,215,107,848,386,210,675,
181,411,283,894,569,633,686,742,428,070,612,492,484,802,563,240,004,818,909,
296,408,884,946,772,675,728,215,558,084,260,891,875,184,164,962,512,730,315,
063,633,529,906,951,734,432,199,046,224,242,852,621,569,261,171,017,791,090,
432,550,500,315,140,809,115,744,758,282,269,581,891,567,187,208,641,777,796,
267,138,405,849,559,377,643,811,770,021,113,707,988,937,365,609,612,751,960,
767,684,084,403,131,034,802,644,066,606,568,153,484,092,364,440,613,357,504,
202,308,966,524,727,629,618,422,556,797,052,081,445,134,979,304,102,528,785,
819,753,300,016,215,098,557,314,038,854,901,322,331,064,680,762,548,530,461,
856,556,887,773,991,792,702,777,838,399,854,845,395,921,240,156,474,058,747,
301,583,210,468,726,207,899,481,505,446,119,380,339,574,646,241,608,653,698,
209,393,110,648,282,748,523,873,377,039,878,707,141,154,651,335,529,512,622,
643,357,370,573,477,622,069,600,924,467,878,722,555,620,419,641,118,880,242,
231,974,005,271,759,567,499,369,678,486,372,529,009,705,511,000,778,810,531,
030,779,480,515,347,163,598,002,547,141,252,514,958,953,202,780,949,961,417,
018,268,505,121,901,653,757,476,070,626,202,713,015,669,793,307,694,586,365,
216,538,113,438,553,387,164,596,124,411,655,985,268,642,414,804,215,292,787,
099,203,738,893,861,957,538,405,459,498,349,821,935,019,889,360,464,027,997,
800,858,810,768,432,883,357,244,203,103,281,564,071,305,528,367,456,159,188,
967,891,995,420,710,832,440,828,297,942,975,029,114,198,117,528,758,944,131,
808,563,333,130,412,095,758,165,869,349,483,392,317,381,967,145,499,079,141,
823,832,063,021,739,527,141,292,432,339,391,811,657,698,177,799,964,500,026,
240,513,169,365,511,420,224,873,038,015,983,122,350,354,600,649,391,394,102,
372,279,304,366,269,282,416,873,151,599,653,518,173,728,047,230,660,954,512,
860,614,918,658,340,299,643,586,108,142,090,884,266,405,651,680,171,139,410,
174,652,388,295,949,560,878,127,560,405,327,372,395,783,925,877,384,060,936,
454,589,246,412,822,566,747,572,275,053,118,591,531,129,345,964,158,703,174,
248,557,721,211,300,921,776,012,373,412,183,249,153,043,533,449,660,359,039,
619,654,541,529,201,845,797,966,210,838,726,240,738,057,091,418,980,914,993,
230,882,879,581,849,282,835,882,954,784,061,500,676,650,979,412,418,096,169,
945,164,253,424,639,247,264,378,571,999,688,925,938,559,106,734,798,079,384,
337,780,823,909,503,521,944,203,764,128,114,765,589,149,069,768,843,309,205,
710,438,766,251,814,267,966,100,757,570,875,690,839,110,731,145,168,467,362,
444,476,651,178,489,337,920,835,611,656,332,335,973,231,919,483,158,138,940,
819,444,714,494,277,226,757,036,324,324,142,011,305,970,382,895,605,680,761,
443,837,571,728,276,508,135,113,814,952,126,052,309,780,116,145,454,765,759,
350,020,725,412,027,268,158,239,369,505,593,825,023,733,421,253,100,748,212,
172,055,940,618,437,344,527,563,611,906,248,771,449,369,407,183,043,964,335,
491,886,243,771,447,367,395,336,534,062,857,767,845,244,998,352,858,621,657,
016,260,449,283,629,705,093,370,775,854,245,854,162,445,004,490,611,019,493,
828,798,984,031,655,500,551,688,781,724,145,496,510,042,127,835,424,882,422,
965,548,694,257,545,098,769,834,227,575,868,758,306,440,488,172,141,442,983,
504,377,616,732,702,536,592,316,517,920,283,322,203,610,581,174,530,625,995,
455,504,906,929,769,822,417,092,005,283,445,781,593,269,076,085,415,955,498,
204,790,603,275,158,939,396,699,952,519,934,755,408,135,509,976,978,638,229,
753,740,150,536,208,233,227,515,105,796,031,290,682,191,385,105,300,472,296,
822,831,360,361,967,991,818,066,376,860,626,554,378,401,618,440,552,001,212,
616,154,814,249,089,316,981,221,265,414,159,111,566,275,416,494,753,240,862,
550,272,423,215,694,274,567,511,694,529,924,452,837,038,321,315,254,193,655,
128,330,021,732,664,406,133,522,130,923,257,052,171,286,899,610,087,359,363,
353,173,284,021,128,387,004,173,767,629,717,143,534,992,516,182,730,238,837,
105,479,460,249,678,146,734,215,270,397,467,282,643,497,508,092,117,956,651,
487,740,883,049,511,975,909,807,231,260,693,334,329,271,596,027,807,668,554,
357,405,358,642,203,388,573,496,465,038,224,811,922,817,563,224,699,515,580,
804,088,015,305,080,856,379,752,811,820,535,892,213,500,349,322,769,689,784,
395,052,426,179,421,583,699,379,940,762,450,908,809,428,937,476,261,082,253,
943,698,575,562,852,949,258,587,393,345,627,856,805,750,827,554,282,720,718,
047,991,962,796,189,232,997,547,729,798,083,514,264,414,358,175,217,045,336,
811,491,345,689,850,982,488,687,973,046,492,951,237,471,069,867,145,746,224,
313,173,131,991,598,490,586,330,625,456,713,739,581,418,733,606,424,770,553,
220,470,991,453,870,694,090,495,635,884,777,083,314,929,233,964,345,015,989,
199,167,918,030,504,740,014,355,285,944,436,667,116,161,724,935,924,445,895,
893,827,350,393,061,141,027,514,294,092,941,608,333,626,089,268,027,250,894,
549,001,818,665,145,106,199,746,292,707,884,146,715,222,817,149,989,969,625,
278,661,009,177,617,921,012,868,492,715,845,007,243,170,874,926,201,876,489,
458,974,021,414,219,146,134,498,096,604,745,405,462,277,132,257,670,768,397,
344,246,919,267,192,039,656,098,241,025,753,789,471,458,772,583,310,002,812,
382,699,055,738,128,012,863,273,162,061,246,108,027,997,938,764,331,078,629,
232,391,850,468,231,730,342,367,089,079,039,383,784,527,570,727,526,125,421,
414,154,454,119,120,007,134,208,938,472,084,640,785,151,644,248,592,136,256,
891,116,426,469,456,397,870,226,719,982,218,972,145,759,612,244,558,494,080,
776,586,572,673,842,961,045,109,064,425,227,645,236,289,561,045,145,763,664,
717,777,208,488,021,818,883,864,471,402,391,067,381,356,393,470,600,889,330,
367,763,796,037,270,851,348,308,647,529,002,709,854,889,240,010,836,149,309,
719,189,629,665,402,588,646,392,625,975,204,456,568,977,590,952,792,706,391,
854,629,440,423,622,178,064,124,400,770,745,164,476,701,150,526,454,065,293,
463,458,868,358,623,798,936,883,339,213,267,357,128,879,879,366,142,753,845,
186,645,011,697,967,275,882,996,410,421,691,744,142,928,572,391,489,287,555,
418,244,131,898,670,507,164,989,804,740,424,674,960,927,979,479,623,251,188,
637,642,827,431,881,727,834,092,108,776,334,792,399,442,232,342,314,242,357,
507,589,486,067,904,254,898,316,038,491,638,376,149,748,057,231,046,343,457,
686,406,898,606,006,713,657,688,338,218,232,709,897,629,478,622,148,074,784,
238,928,800,358,580,957,129,073,423,674,511,528,297,928,101,257,410,376,163,
848,053,474,897,793,805,938,859,949,639,842,002,965,024,064,537,991,456,928,
106,450,201,194,246,262,725,113,715,974,388,011,205,189,458,536,537,567,261,
782,416,617,355,566,012,767,902,258,206,832,683,016,030,583,055,895,280,286,
629,610,912,834,879,628,577,330,033,366,631,386,950,063,727,834,314,913,068,
125,491,218,484,244,060,829,314,844,397,943,684,225,721,568,498,936,169,754,
466,396,365,476,096,373,889,302,395,120,205,526,558,691,379,117,631,665,268,
585,621,572,412,935,006,673,377,878,908,571,827,544,247,689,798,685,296,812,
863,628,139,446,951,658,883,838,044,835,793,416,962,367,941,895,186,162,311,
927,443,802,298,910,301,839,222,588,729,959,909,764,000,987,927,123,240,401,
684,813,482,218,012,311,828,410,540,143,891,833,429,688,848,725,334,950,917,
818,175,974,980,266,290,084,439,018,125,005,491,431,631,566,386,312,587,307,
569,712,498,336,832,223,056,848,364,303,683,361,801,644,105,372,041,393,384,
633,920,332,769,390,335,339,360,307,118,530,109,908,740,609,062,867,425,147,
456,530,283,658,266,103,080,282,974,781,532,768,063,565,584,826,055,091,744,
015,580,398,695,868,574,767,939,103,712,469,959,350,078,262,282,098,449,905,
821,870,226,946,482,706,508,182,931,307,396,511,726,135,793,210,941,435,321,
177,271,885,434,453,903,040,558,807,541,672,241,820,768,037,736,714,012,754,
095,824,050,122,114,133,579,111,030,362,896,410,174,790,917,718,623,487,052,
255,534,272,495,316,845,500,921,627,655,024,538,506,829,890,422,153,452,473,
185,589,109,455,211,286,998,350,205,832,952,889,015,879,106,901,432,277,501,
231,482,775,595,432,953,480,581,252,099,672,153,958,638,624,706,875,150,232,
123,451,127,744,335,000,888,833,638,215,216,871,003,079,792,572,292,603,042,
529,847,742,721,268,543,440,421,128,542,749,104,148,976,536,383,443,007,218,
528,836,451,649,630,653,553,710,839,190,447,715,980,321,386,751,149,014,099,
094,847,002,402,931,004,456,381,903,071,139,190,014,427,539,440,121,182,886,
054,129,187,986,387,221,447,431,742,658,530,859,123,163,208,913,083,628,889,
025,771,020,717,036,310,288,681,380,191,649,613,387,930,993,744,800,167,024,
797,602,336,256,757,789,385,172,085,234,945,461,289,397,899,400,985,727,151,
184,566,818,710,061,121,243,337,585,810,218,140,876,808,684,088,156,169,098,
564,473,478,277,201,466,486,157,539,824,718,066,026,295,073,790,926,742,526,
574,524,375,085,362,449,592,542,095,107,837,962,510,242,381,496,591,484,096,
055,080,790,282,551,931,273,085,783,062,617,653,169,881,952,899,516,363,323,
356,345,570,526,623,234,041,777,285,016,859,157,900,848,996,885,292,464,784,
874,579,234,802,719,116,629,940,489,701,924,321,234,595,778,979,333,028,293,
804,355,206,194,990,430,786,242,782,212,730,582,287,776,878,765,235,475,849,
314,683,841,760,375,608,572,391,141,060,865,413,332,660,241,004,655,774,798,
713,999,196,583,485,737,011,349,880,023,848,584,648,519,646,701,430,200,573,
387,567,114,818,865,211,341,209,153,073,806,513,401,370,568,494,559,276,722,
490,917,900,529,208,158,635,839,123,959,472,970,793,175,842,950,244,293,985,
210,150,741,102,699,733,942,016,099,384,228,145,084,365,766,060,783,642,261,
508,215,819,417,335,827,893,934,690,275,463,926,327,156,878,236,597,394,268,
298,088,712,684,228,295,122,008,140,110,846,276,057,665,870,224,386,794,351,
352,062,989,900,443,107,284,342,623,845,152,164,757,647,090,392,887,646,401,
797,263,169,755,853,907,117,262,253,145,728,465,660,463,140,081,782,290,369,
161,466,969,134,591,822,707,224,662,883,302,665,263,814,369,048,591,400,550,
084,672,556,269,350,728,589,893,988,900,957,110,962,188,787,793,027,567,899,
747,341,612,944,050,711,756,955,026,592,834,238,462,997,858,566,400,266,456,
660,423,274,518,073,407,503,054,085,415,888,140,024,640,564,158,726,523,383,
772,434,300,388,408,825,826,828,899,897,381,568,771,186,297,507,315,641,527,
606,038,355,922,225,938,445,652,617,105,617,327,768,746,019,524,322,012,729,
643,083,138,209,610,138,344,319,853,810,262,921,594,239,129,116,399,973,010,
157,329,513,730,403,842,037,391,110,460,247,160,175,517,962,819,243,045,485,
753,388,769,729,793,543,577,459,422,908,994,638,032,141,486,848,187,909,622,
419,149,674,818,137,527,888,895,472,097,279,415,066,133,515,633,993,120,419,
255,089,655,755,113,533,604,592,347,844,054,874,379,057,008,462,467,554,146,
255,810,238,323,354,359,311,129,265,282,315,240,445,787,538,717,209,390,615,
367,865,946,098,680,988,437,795,347,761,921,384,877,352,232,611,994,297,354,
733,214,290,610,974,961,745,260,887,029,985,775,781,342,651,163,539,575,940,
274,014,413,457,877,795,957,654,067,207,013,189,541,355,490,168,871,926,817,
262,572,040,412,710,022,912,101,356,021,340,622,708,014,991,610,336,987,798,
753,082,373,460,388,124,886,127,673,375,584,996,028,434,653,604,672,088,503,
414,454,758,906,137,515,190,293,604,296,177,420,906,350,173,453,306,479,857,
242,551,611,907,169,729,729,363,219,259,451,784,009,361,434,606,835,949,577,
033,606,185,722,118,464,644,468,698,807,752,426,195,412,246,877,573,064,885,
433,901,309,450,687,707,878,407,876,077,724,065,149,906,985,148,186,937,342,
857,996,175,483,072,486,541,468,861,286,011,871,457,462,963,792,718,500,899,
989,015,019,858,908,518,858,047,336,685,224,225,676,969,158,342,828,822,497,
782,032,490,130,972,954,988,833,110,545,178,857,210,520,254,318,244,391,822,
915,945,067,660,037,638,308,218,253,697,763,815,354,969,680,299,148,883,372,
156,083,903,029,873,909,169,733,816,424,917,304,147,256,886,061,909,143,852,
958,374,714,986,813,931,425,448,675,051,838,837,790,567,212,190,904,761,984,
831,163,323,721,914,290,664,898,547,397,111,881,566,518,284,395,674,060,556,
446,587,034,169,992,311,931,077,532,989,444,865,671,439,105,079,312,805,139,
377,065,422,857,422,994,645,812,486,920,958,194,429,239,153,318,879,522,337,
486,206,517,766,039,429,869,900,179,452,840,108,855,211,358,877,925,623,429,
648,649,355,206,474,798,756,503,428,977,085,103,774,701,886,907,295,463,866,
619,426,465,415,559,264,851,572,205,796,233,763,795,198,867,018,948,785,594,
539,943,172,960,444,479,322,001,735,883,419,645,074,327,089,921,222,225,391,
489,234,562,096,906,572,128,027,526,905,952,026,313,735,656,652,776,479,793,
332,740,704,683,025,530,913,681,850,978,384,992,806,569,790,708,690,631,008,
722,240,931,873,581,424,790,423,121,760,018,647,144,181,580,215,193,702,767,
157,901,914,034,852,868,251,526,294,933,568,249,831,358,011,887,489,338,739,
999,110,183,257,795,251,450,143,722,350,515,986,468,068,999,637,427,929,152,
732,640,556,769,079,827,901,423,324,456,116,335,647,309,436,683,314,852,412,
281,890,167,581,822,075,073,840,963,040,553,547,542,540,448,596,745,718,885,
761,255,649,198,424,731,812,763,704,349,306,973,049,614,318,493,288,354,477,
111,508,572,341,777,319,704,712,184,511,209,706,116,308,273,091,115,309,019,
741,817,233,227,042,847,354,233,039,276,929,882,895,562,003,977,923,305,440,
424,049,195,172,533,723,709,321,566,503,139,973,421,343,560,013,970,543,334,
919,717,586,260,781,397,190,229,029,827,717,230,624,494,512,387,029,034,940,
522,355,399,475,264,665,422,546,508,833,183,302,247,533,423,042,508,034,302,
702,075,865,287,130,478,778,931,402,217,672,859,838,623,059,989,969,996,408,
352,262,496,856,168,695,380,485,640,203,054,993,591,150,273,056,079,046,660,
462,988,557,359,651,402,634,256,858,325,656,656,870,929,053,977,082,289,481,
525,746,671,870,455,770,742,523,201,567,267,438,833,994,942,007,216,066,517,
798,520,500,145,317,215,386,905,638,661,337,351,393,538,757,336,404,900,622,
493,242,972,262,801,208,548,379,185,159,553,493,967,935,968,376,148,225,878,
453,922,400,771,660,385,667,354,585,767,454,764,048,197,145,039,487,880,561,
793,679,909,686,369,091,325,281,061,787,518,446,006,186,463,356,703,798,630,
125,733,455,277,348,386,400,185,300,442,432,893,674,022,042,631,975,968,382,
213,025,479,411,237,077,205,004,573,684,833,490,289,117,432,125,043,803,807,
046,931,955,249,494,334,305,661,427,480,037,327,488,856,741,414,670,473,564,
019,513,142,606,044,463,935,444,931,193,295,770,587,276,470,504,627,058,115,
995,964,695,414,575,919,506,579,839,189,656,658,141,237,512,111,138,959,818,
701,025,649,174,955,707,446,601,247,479,894,807,153,010,562,304,254,883,609,
004,726,004,417,655,539,235,292,195,311,839,388,635,694,676,376,179,770,665,
059,662,860,654,159,964,454,083,583,493,089,793,060,252,483,613,823,542,519,
941,134,196,913,895,132,703,792,207,097,566,192,382,821,729,329,931,540,893,
864,198,247,366,987,237,401,361,485,543,409,997,543,570,564,151,526,619,085,
759,368,163,970,737,894,959,910,479,263,567,181,859,280,215,779,312,230,582,
843,161,661,106,552,621,408,241,697,260,086,139,094,986,123,408,020,583,390,
048,882,946,059,263,268,663,767,799,169,205,802,200,490,928,291,803,782,476,
560,192,183,693,222,521,415,890,707,120,718,682,048,039,377,725,422,790,418,
473,761,131,590,564,022,731,230,179,938,648,605,063,537,782,215,071,579,310,
061,808,643,661,168,068,524,898,159,678,843,054,745,419,567,579,469,880,048,
583,390,143,882,451,205,933,296,669,453,467,846,472,500,991,849,553,369,613,
810,879,295,503,313,218,163,633,643,815,047,075,912,299,711,704,266,370,320,
129,019,143,197,431,476,777,593,983,414,252,404,033,857,539,983,039,193,727,
730,682,915,950,836,200,729,770,158,841,259,223,297,245,393,029,447,440,827,
540,046,511,016,185,769,075,347,993,952,822,345,484,853,224,678,681,785,717,
123,738,091,930,012,118,988,445,306,304,561,940,919,844,056,714,832,310,720,
247,953,138,071,411,935,382,324,164,482,781,036,230,980,570,893,743,762,371,
471,492,254,068,358,192,817,009,851,446,067,233,833,002,260,537,487,562,408,
298,373,222,731,813,406,556,356,373,303,197,499,874,720,645,233,526,982,776,
343,525,953,415,942,972,838,944,708,327,867,836,673,674,293,227,778,971,723,
748,987,791,291,327,324,241,072,905,625,615,293,474,389,772,563,381,907,473,
797,026,776,501,693,287,279,578,844,262,498,245,952,556,292,930,019,649,055,
603,737,816,822,561,691,012,617,356,211,155,287,083,872,239,526,189,403,448,
759,917,078,256,090,350,376,441,673,271,910,635,672,768,888,824,205,485,435,
115,240,452,600,999,306,353,823,190,074,287,057,475,305,946,913,573,936,952,
464,223,458,527,916,309,732,181,896,961,087,243,630,423,163,699,669,205,069,
302,762,745,157,663,903,868,137,300,416,812,908,948,916,592,569,416,177,671,
058,830,175,506,072,954,814,823,701,812,734,213,645,261,471,188,284,124,551,
098,944,012,703,387,100,960,151,026,894,610,202,263,031,037,024,767,347,541,
987,563,490,113,055,991,425,552,603,833,040,423,460,018,065,481,911,585,774,
031,908,951,405,736,700,668,978,475,619,439,541,338,220,604,448,627,996,899,
999,120,265,110,544,607,401,094,526,724,912,685,217,031,810,891,073,957,011,
873,863,617,987,303,220,092,111,795,665,257,560,003,291,036,233,452,529,753,
659,264,099,202,405,351,306,426,585,888,837,620,871,478,703,275,228,922,912,
006,420,115,793,911,655,316,839,052,250,636,125,336,902,692,832,818,787,676,
874,511,163,795,113,853,985,655,180,160,526,548,674,061,098,333,524,923,961,
329,743,648,122,426,437,983,123,383,981,966,479,939,413,336,117,019,688,708,
279,216,561,371,099,811,605,017,806,047,603,794,781,071,561,114,897,495,871,
537,904,775,856,813,761,100,910,374,162,286,949,424,857,155,747,056,591,278,
588,195,421,012,227,947,992,850,732,066,853,261,255,215,453,834,706,928,697,
581,685,400,694,113,457,704,373,083,821,277,094,033,616,096,897,749,563,245,
278,836,704,249,915,190,821,468,453,026,091,984,555,891,605,417,509,216,547,
925,730,809,011,537,880,082,708,762,113,604,687,609,193,163,140,368,868,308,
885,638,919,952,536,073,495,173,886,135,042,158,574,733,720,219,448,231,968,
552,026,185,558,419,881,208,659,295,066,570,559,129,142,568,432,926,288,506,
877,312,129,934,429,777,503,101,164,795,949,227,557,220,661,762,624,767,377,
292,339,602,215,799,929,070,579,283,665,771,499,127,878,070,798,475,403,204,
914,021,004,688,608,353,516,406,026,115,897,472,115,496,255,292,175,768,445,
501,741,047,322,740,936,946,552,686,155,225,822,427,189,564,038,242,071,215,
397,935,761,602,213,480,415,643,501,223,393,828,696,471,262,748,933,511,566,
053,463,560,384,620,818,870,039,971,391,099,739,231,688,815,879,561,062,404,
097,740,800,733,663,083,928,875,256,709,127,861,013,632,094,044,914,987,844,
453,263,614,435,701,502,019,455,185,869,989,051,395,209,444,368,178,926,969,
561,984,009,401,535,037,640,318,539,132,608,029,091,728,253,438,598,575,747,
375,246,871,107,588,782,796,620,630,349,796,444,968,722,201,921,151,840,106,
072,383,364,211,957,783,694,691,756,408,527,871,350,241,315,380,523,098,845,
344,783,431,966,939,149,450,498,420,534,553,367,138,998,755,479,002,978,425,
189,258,612,354,891,626,479,595,371,830,019,378,968,903,650,024,875,177,034,
953,481,470,717,239,550,122,695,733,440,909,427,593,662,972,657,712,327,598,
536,514,764,413,199,260,013,318,287,914,903,920,024,673,772,230,746,517,175,
499,882,989,106,023,196,791,184,573,598,635,569,412,093,879,043,752,519,369,
699,177,063,377,447,632,162,648,938,891,157,735,174,496,014,156,880,613,597,
696,900,745,167,575,581,481,371,923,070,425,368,618,165,475,438,203,214,180,
624,932,806,757,347,733,076,487,932,918,826,020,406,736,514,521,369,839,518,
698,716,998,533,681,553,327,618,826,163,942,096,483,561,972,435,669,623,373,
534,467,604,417,789,116,037,353,303,573,014,813,504,623,757,928,765,844,667,
735,933,847,966,269,395,793,243,046,025,273,793,315,293,620,863,187,663,888,
654,899,877,712,313,803,656,291,058,035,845,065,248,159,235,399,838,416,281,
255,279,794,554,270,019,774,623,965,637,866,610,616,601,338,920,947,704,017,
513,021,154,395,312,610,567,351,393,269,262,877,631,801,229,004,448,103,905,
804,940,467,429,097,924,136,111,014,397,337,971,078,733,860,153,600,912,215,
004,443,279,577,119,503,765,482,706,371,416,081,064,361,805,567,434,494,510,
010,480,666,510,322,717,245,007,334,400,208,055,877,513,419,825,656,318,954,
693,404,222,970,854,192,791,751,877,193,621,827,493,465,050,288,162,069,403,
183,056,068,492,032,038,411,530,266,377,367,094,837,736,476,071,540,079,699,
645,001,325,680,580,675,757,450,105,700,378,346,867,756,289,395,236,714,355,
481,271,675,741,691,715,003,865,915,228,339,334,644,828,582,671,265,834,531,
250,702,516,584,258,653,582,587,069,985,441,820,455,921,733,452,227,461,361,
220,776,445,730,956,588,603,894,114,413,028,436,872,666,384,071,282,428,986,
189,974,016,468,828,338,361,620,694,634,429,422,470,726,717,065,014,178,238,
790,764,198,679,219,995,701,896,975,155,805,026,936,563,120,891,090,263,518,
166,589,456,172,503,257,057,507,043,579,486,192,361,640,365,287,700,790,109,
431,179,995,455,486,374,841,663,343,955,095,194,218,485,111,910,862,701,281,
484,822,447,048,245,970,935,337,019,609,646,819,829,453,127,829,727,962,736,
399,632,635,344,090,802,201,067,950,895,631,997,123,646,310,326,075,191,953,
878,693,073,743,023,564,857,902,915,266,201,503,476,844,851,641,238,146,328,
573,065,117,328,452,081,626,734,266,350,050,268,482,440,976,076,292,058,289,
077,126,210,363,019,212,797,924,112,462,791,297,089,520,113,001,596,021,361,
046,933,249,431,228,518,823,059,597,270,421,077,096,222,333,780,116,848,967,
773,159,900,274,633,424,661,706,113,959,325,112,128,912,583,019,102,192,064,
168,213,673,681,451,245,241,403,519,786,554,938,491,926,814,305,499,801,462,
904,852,141,360,719,246,637,907,180,952,840,548,121,911,748,523,731,954,168,
319,507,961,578,161,031,512,602,447,361,856,822,781,454,945,129,581,469,243,
628,792,091,447,893,914,947,125,969,909,052,829,699,192,840,654,038,061,398,
967,913,827,204,525,711,541,399,180,992,514,732,067,459,159,160,547,644,001,
966,590,237,204,862,539,560,715,949,573,241,960,228,764,869,152,471,525,771,
324,924,221,168,132,003,655,753,306,210,358,064,872,552,797,277,108,195,309,
584,476,252,190,719,253,619,302,210,365,552,311,213,331,523,774,240,844,702,
759,100,434,195,640,187,202,022,433,199,950,397,320,430,698,398,434,913,155,
675,747,327,075,147,436,208,439,952,271,829,689,554,121,380,067,257,290,035,
765,664,912,456,510,925,927,459,119,339,842,490,165,664,105,328,887,263,661,
041,376,697,055,820,776,362,438,149,578,441,831,852,072,567,495,819,994,878,
435,170,734,418,312,822,598,323,825,017,711,780,360,534,335,358,882,003,855,
206,500,902,676,647,918,530,787,074,457,626,513,726,759,337,718,793,810,992,
373,390,447,781,406,061,141,849,157,922,644,454,252,348,093,542,364,395,280,
571,343,698,142,631,948,531,013,219,181,999,881,269,357,177,991,701,116,106,
403,276,116,361,793,611,820,234,954,913,951,882,848,332,582,087,852,665,349,
080,674,853,860,062,365,691,182,668,915,251,192,858,394,322,024,981,658,420,
989,474,688,948,800,074,084,445,105,571,865,032,127,847,565,029,947,378,161,
670,094,544,558,089,852,192,477,585,446,897,143,011,491,827,284,290,748,055,
012,035,677,441,727,119,285,956,593,966,031,681,537,784,454,236,119,014,293,
438,744,592,697,720,910,359,517,102,503,973,463,079,423,152,882,451,552,510,
274,276,285,340,091,043,104,281,710,454,002,415,406,109,640,567,064,065,237,
556,912,897,410,779,557,376,207,371,249,463,529,889,260,835,591,850,454,292,
492,894,130,693,098,859,852,835,143,042,636,741,217,308,181,749,675,318,997,
653,429,491,604,284,490,618,091,278,554,445,794,240,045,069,877,778,209,257,
697,016,247,959,765,027,466,394,044,235,830,766,654,389,106,429,209,109,350,
675,556,284,674,078,165,151,804,278,888,131,731,689,166,186,121,026,437,242,
780,981,030,370,719,939,159,130,692,236,755,915,008,015,078,785,660,934,982,
265,283,025,677,865,982,475,762,218,655,480,520,397,590,250,539,541,612,810,
661,670,086,888,699,701,160,690,226,678,611,785,020,983,609,079,708,722,308,
091,446,772,934,726,598,103,625,525,633,720,047,951,294,744,532,385,177,368,
471,066,474,745,881,490,275,524,045,384,395,010,613,857,908,553,076,720,084,
706,518,815,877,012,867,243,575,057,395,197,215,767,440,213,337,020,238,262,
224,603,327,487,238,338,083,108,043,522,233,811,280,379,700,540,836,688,987,
437,356,011,706,579,467,098,773,051,467,596,366,513,255,015,544,345,554,434,
194,259,572,121,385,164,190,057,010,003,065,924,176,056,846,155,345,913,368,
680,950,721,220,443,783,537,383,613,108,024,631,834,873,884,595,683,445,135,
912,759,508,191,644,416,602,420,308,339,760,239,052,227,042,123,400,879,675,
846,787,997,511,664,335,590,831,424,838,450,161,519,333,120,347,191,112,656,
707,252,569,091,589,421,872,966,119,560,472,895,396,568,130,540,553,204,627,
746,352,828,295,606,888,356,934,878,299,523,404,663,498,712,385,868,933,814,
107,491,915,727,696,621,496,979,907,335,633,641,481,923,273,808,699,152,783,
942,227,600,174,435,922,047,506,373,591,960,926,281,672,564,581,251,317,651,
219,304,180,437,087,952,525,838,164,590,403,189,036,199,474,860,217,390,748,
320,933,867,392,135,445,878,257,116,181,140,684,071,418,982,129,744,445,139,
081,131,819,946,756,523,717,282,357,471,478,048,276,616,163,496,600,824,650,
436,083,083,094,803,985,177,658,901,731,830,006,302,295,514,810,614,475,688,
255,793,607,844,222,290,817,475,854,981,418,751,540,057,018,882,752,902,458,
506,986,783,267,450,494,050,524,897,775,451,210,211,975,903,103,763,019,082,
171,789,120,969,134,959,539,723,735,248,959,876,603,430,288,411,949,792,088,
488,215,383,845,621,435,587,618,810,546,287,792,114,774,462,096,048,653,995,
698,578,987,377,643,625,331,578,807,645,417,892,924,442,264,036,475,249,059,
997,761,218,957,748,570,053,044,403,111,687,220,216,821,661,548,177,604,165,
306,326,386,604,354,983,575,960,877,627,445,937,965,728,866,726,686,548,236,
802,504,160,990,635,252,911,722,763,392,581,724,818,411,110,094,816,107,825,
940,387,361,425,441,846,182,757,454,588,877,815,025,959,830,180,179,019,579,
850,766,843,486,917,675,110,625,934,086,740,205,444,701,284,183,599,462,371,
907,714,188,536,758,495,805,272,123,977,169,100,773,478,307,795,947,987,546,
486,666,402,854,632,221,430,913,155,211,480,832,262,630,981,511,998,572,690,
494,698,567,693,704,377,043,375,826,818,730,399,975,844,692,197,051,500,868,
746,131,999,176,986,728,306,116,434,341,889,595,348,610,041,614,608,651,733,
723,798,481,426,073,898,557,999,727,203,256,044,460,775,156,440,888,267,408,
275,116,288,894,991,468,866,795,789,324,661,297,866,307,864,963,561,440,082,
367,516,300,841,517,387,704,814,777,266,223,114,071,231,751,707,313,504,420,
391,552,746,645,783,336,273,419,097,232,664,114,635,521,220,834,040,883,218,
739,514,208,022,568,211,419,806,120,851,435,655,171,164,319,569,770,310,972,
094,419,044,708,175,056,765,541,016,942,617,828,196,168,335,477,743,889,930,
119,444,052,814,886,477,845,866,031,277,259,100,999,746,310,675,217,954,119,
755,302,669,011,693,317,018,129,665,966,624,475,174,840,206,480,871,508,207,
107,914,373,092,063,617,654,863,206,976,871,684,661,149,316,094,436,760,208,
794,526,703,296,704,894,763,270,006,870,857,398,036,772,564,339,955,483,555,
558,053,769,291,445,633,727,080,396,433,680,454,666,778,412,434,658,891,530,
148,904,394,381,919,660,980,965,146,669,271,115,002,882,679,869,646,441,997,
195,526,021,477,860,972,812,215,893,512,866,807,228,088,859,446,423,712,655,
403,716,357,114,500,010,238,356,535,481,367,889,776,259,022,864,221,766,205,
811,441,419,935,953,960,160,233,701,346,607,715,773,731,546,281,961,304,292,
554,462,595,052,405,062,141,625,933,573,672,610,397,450,689,367,492,386,525,
908,965,095,769,266,986,141,131,772,671,695,234,095,110,550,164,781,269,268,
298,319,300,977,430,554,998,170,803,512,796,173,540,192,369,264,148,622,922,
814,822,269,814,524,706,840,124,248,375,544,118,122,200,757,496,925,688,322,
196,378,575,961,872,128,627,226,720,705,189,379,891,217,054,573,422,295,697,
401,495,807,590,936,624,772,932,998,744,036,109,311,571,311,478,780,261,925,
127,356,697,601,257,268,439,172,137,618,490,946,623,412,426,605,885,156,393,
977,131,780,789,007,840,298,950,558,207,023,079,923,040,605,411,916,898,858,
563,747,353,928,459,816,985,403,057,621,006,260,810,610,187,560,188,741,669,
758,125,217,224,876,826,565,854,363,006,803,613,307,151,952,285,244,081,677,
081,515,617,659,065,325,471,313,234,007,988,196,109,535,100,983,597,905,802,
781,575,884,870,876,077,557,240,433,683,600,683,376,304,348,422,849,314,514,
501,595,476,949,264,359,101,547,598,660,100,789,711,954,708,389,136,028,306,
411,498,114,185,243,109,747,854,294,321,701,051,561,829,159,659,180,666,067,
055,466,586,314,234,029,971,756,826,003,212,581,474,805,832,875,129,851,698,
921,322,582,968,669,577,556,269,904,509,445,438,881,353,828,607,681,864,313,
979,362,705,537,696,519,448,706,443,294,978,218,950,280,620,901,202,734,563,
338,724,017,800,130,570,948,362,796,726,499,435,826,924,538,047,825,065,389,
498,895,667,914,533,637,634,856,298,354,857,275,628,207,611,972,763,269,762,
275,237,680,739,593,975,118,851,354,442,686,091,156,645,733,025,791,332,884,
759,287,778,452,342,185,260,959,855,147,067,338,563,898,456,671,565,055,140,
610,017,615,476,539,899,881,899,153,929,554,807,541,980,265,169,422,256,651,
023,213,795,334,081,045,020,021,587,127,940,747,051,228,053,158,157,227,876,
969,900,920,549,775,731,543,154,052,291,169,857,610,124,463,267,866,351,373,
353,302,889,550,209,649,514,936,254,509,964,693,918,229,145,979,479,942,355,
638,387,545,986,928,562,650,469,221,543,580,007,463,899,300,989,998,179,249,
648,844,865,886,356,942,271,749,610,739,701,465,480,488,014,665,071,286,042,
675,678,319,302,108,693,642,023,735,861,146,385,798,726,118,648,970,443,571,
130,307,682,256,999,605,290,633,305,724,370,817,397,623,284,022,295,677,943,
585,265,276,259,095,152,512,432,467,612,114,783,966,006,353,626,409,888,312,
339,623,156,804,692,595,614,704,209,168,831,170,375,990,398,697,983,898,754,
828,489,138,730,933,320,401,424,217,194,890,891,366,072,852,450,905,447,637,
793,133,456,641,737,051,298,501,704,529,759,294,341,951,241,582,772,113,456,
981,361,961,606,065,446,836,484,965,316,306,458,498,326,523,095,778,375,036,
951,203,809,101,240,877,780,164,380,914,491,771,830,858,713,121,756,673,778,
964,033,445,707,499,429,595,850,566,671,005,062,031,726,412,899,731,450,039,
086,847,503,832,530,756,066,171,231,955,437,154,594,481,943,518,326,083,782,
327,121,447,164,297,453,495,408,055,841,903,158,808,533,294,901,580,059,697,
282,875,354,362,741,330,085,985,216,269,111,739,172,741,611,607,050,708,269,
362,977,345,542,979,778,703,001,770,729,176,897,362,419,464,205,259,555,329,
773,496,890,231,358,513,629,963,732,873,580,103,068,310,796,713,545,653,902,
275,339,491,310,141,486,360,457,611,766,001,222,658,515,469,981,031,915,596,
321,377,268,314,253,289,184,584,530,675,731,891,782,829,744,522,856,746,864,
538,469,643,069,749,851,799,212,080,081,026,048,654,642,571,978,059,133,962,
013,296,730,620,007,226,861,197,653,520,523,685,909,540,024,122,362,339,124,
282,640,180,976,737,958,361,428,966,358,656,439,687,735,046,216,801,933,599,
245,706,731,094,946,274,949,322,062,303,604,434,520,235,313,445,683,244,207,
359,895,415,840,883,807,890,690,168,375,938,105,930,557,748,136,229,493,939,
594,291,618,240,158,176,400,784,567,324,272,038,479,364,373,800,840,561,174,
614,199,028,950,433,981,931,517,489,835,135,395,518,983,979,672,421,624,810,
912,276,286,307,435,184,530,775,263,039,717,741,879,180,947,591,431,968,890,
359,430,696,886,092,978,994,724,644,537,305,545,776,940,796,044,472,181,671,
621,694,651,464,003,527,971,664,778,378,712,737,277,229,234,325,597,341,329,
325,974,480,719,945,797,005,905,035,123,176,358,929,754,382,295,721,267,565,
904,280,574,198,735,690,225,662,792,555,237,358,146,385,564,046,632,963,224,
524,599,609,997,993,802,585,814,533,696,071,853,299,673,638,680,197,787,280,
956,299,510,424,318,253,808,460,211,869,307,813,861,433,699,109,036,896,331,
760,249,114,738,678,034,365,674,275,081,252,614,492,232,811,032,476,033,842,
369,239,260,317,653,399,680,187,750,752,914,333,115,612,166,131,020,044,321,
101,083,674,459,432,449,931,437,701,616,009,464,073,248,443,858,610,524,100,
847,978,728,145,902,070,923,055,908,877,792,285,060,390,410,681,875,509,157,
931,250,325,028,281,451,837,680,215,193,785,114,664,752,179,573,888,152,948,
499,885,205,648,001,927,171,091,990,451,904,946,965,334,941,904,489,621,370,
708,862,737,308,924,610,149,220,240,661,596,962,265,990,678,944,011,091,621,
461,664,381,258,496,356,150,734,534,293,738,296,805,546,266,527,831,355,353,
888,478,952,841,016,447,051,434,955,090,846,880,232,765,075,276,371,741,098,
683,615,498,722,090,478,179,261,918,218,728,338,597,468,876,232,327,930,360,
581,505,052,752,043,319,608,675,415,924,642,962,986,087,987,692,294,849,171,
751,935,404,029,383,363,123,745,894,569,614,348,651,750,748,292,295,281,415,
924,835,071,941,521,781,854,968,359,244,742,461,716,381,912,485,150,337,022,
413,471,193,103,492,337,231,130,282,736,192,757,423,697,432,428,659,409,897,
907,216,120,596,610,830,592,153,276,646,987,039,993,395,669,814,018,016,644,
068,545,128,026,039,149,935,968,303,623,946,837,413,664,256,214,051,531,597,
412,518,247,840,539,835,610,148,750,665,281,104,414,714,940,599,067,534,608,
898,548,743,045,546,791,663,849,074,764,048,031,994,269,890,914,158,827,095,
061,480,597,375,081,936,328,532,404,891,963,053,691,964,508,151,223,720,328,
825,536,579,255,799,976,518,943,596,685,407,900,266,489,654,317,035,790,499,
097,730,349,308,918,974,054,147,599,908,612,243,905,692,297,198,765,130,703,
308,862,812,288,049,870,836,181,129,073,657,499,176,476,761,090,229,075,081,
847,416,656,637,553,817,734,756,673,636,781,790,736,597,159,377,205,989,964,
121,908,639,826,164,016,329,435,322,058,428,503,209,846,070,848,620,801,647,
990,568,159,914,876,484,624,158,528,136,042,308,789,979,178,531,375,198,724,
786,183,684,146,505,459,213,419,602,849,999,130,038,249,580,807,626,200,689,
821,022,725,154,369,240,181,581,524,176,001,831,696,205,115,355,862,969,874,
742,265,451,556,421,087,053,915,969,264,174,782,651,874,280,477,305,209,504,
230,119,325,772,868,366,181,266,249,377,230,764,157,614,359,970,229,474,436,
100,091,953,510,478,787,640,541,383,443,155,175,134,560,941,132,773,573,818,
600,055,871,266,337,928,222,828,429,966,239,439,282,533,833,448,301,154,734,
377,010,478,391,544,255,735,740,067,393,070,484,421,800,502,540,168,508,285,
886,823,595,370,462,312,401,462,052,730,265,127,801,050,473,811,912,490,014,
049,660,215,025,873,307,037,318,169,759,448,843,296,808,658,269,475,885,448,
462,340,588,808,831,022,533,175,206,984,564,856,428,522,797,537,250,549,859,
069,891,340,344,459,699,922,842,150,739,431,235,863,356,040,791,158,482,005,
947,075,125,185,296,459,776,224,360,429,890,457,657,437,640,770,905,778,685,
493,540,706,471,590,688,818,890,710,142,808,157,867,091,634,889,912,532,625,
792,436,102,952,778,707,976,436,453,184,783,119,424,480,897,158,290,360,294,
513,221,582,594,549,836,366,282,281,744,145,104,627,602,625,172,834,521,139,
651,722,368,691,961,033,288,889,842,394,993,663,485,942,801,476,034,217,223,
437,454,602,351,729,890,296,743,476,557,494,728,302,056,379,331,229,628,352,
476,430,572,907,084,038,855,606,300,026,787,760,414,198,275,207,401,641,675,
889,871,043,454,112,527,327,079,348,721,686,166,629,673,698,194,939,628,982,
334,475,135,200,684,089,237,172,891,615,420,232,808,994,914,022,073,538,230,
889,490,690,791,659,004,314,664,839,760,819,666,662,022,272,934,976,875,358,
272,447,210,917,805,866,582,069,758,266,746,989,740,809,136,105,405,238,891,
176,191,467,933,443,514,501,914,926,397,660,104,325,019,194,597,381,572,313,
193,218,880,506,180,252,349,173,895,082,516,206,548,047,656,791,732,190,757,
929,517,970,040,701,409,259,753,682,487,037,922,537,616,341,684,843,282,512,
345,971,346,748,252,268,851,007,774,618,963,079,430,823,330,827,978,263,160,
239,425,223,073,137,502,934,201,506,909,959,783,909,028,207,064,463,462,376,
411,392,942,210,084,888,359,363,987,068,753,600,556,871,577,650,302,995,898,
275,562,050,625,597,472,832,718,105,766,474,586,869,508,148,483,105,163,346,
230,166,631,246,694,230,410,350,244,211,063,510,694,223,164,621,800,703,449,
757,407,978,134,899,978,271,735,808,445,477,293,304,818,405,552,754,221,595,
441,842,625,578,146,243,494,012,719,947,872,563,510,186,002,973,866,655,582,
191,789,664,609,154,958,392,617,656,449,786,016,228,838,491,492,766,909,701,
051,887,943,230,022,805,937,570,628,303,310,374,636,593,513,097,243,389,127,
759,358,731,310,937,948,738,440,143,467,207,364,109,849,059,300,120,881,021,
331,130,241,302,261,671,837,972,600,700,599,295,994,789,256,828,418,120,357,
257,503,372,702,739,303,551,802,576,595,099,943,546,870,691,623,670,789,433,
771,947,358,178,503,297,821,975,373,302,491,278,168,484,945,683,055,119,177,
042,533,137,332,276,436,311,740,761,251,996,895,218,942,969,848,392,935,873,
895,105,057,058,480,220,763,263,360,492,634,234,293,195,621,515,633,695,410,
030,259,975,274,712,089,075,342,598,485,835,793,515,600,568,925,275,145,419,
793,712,408,715,643,707,901,609,662,470,006,648,703,905,849,063,667,523,217,
437,968,549,223,022,778,619,383,145,466,172,621,947,128,916,707,071,075,692,
851,534,887,609,306,550,176,093,148,544,561,457,970,778,376,132,414,597,890,
471,329,158,679,342,620,122,242,091,586,411,364,439,144,797,894,751,017,936,
074,403,924,217,342,231,040,209,280,826,101,105,115,758,692,187,094,557,379,
674,368,359,674,352,157,946,743,228,512,319,612,821,256,728,474,456,636,285,
276,627,606,496,060,918,631,074,222,257,428,154,918,875,077,585,523,221,167,
622,530,487,077,574,035,899,537,580,538,102,568,224,107,004,744,117,994,518,
790,891,149,006,973,346,846,918,092,736,152,487,773,221,924,143,747,501,132,
104,410,107,545,426,489,065,523,303,915,379,651,956,686,635,853,388,171,276,
164,756,958,969,885,822,080,273,840,718,632,106,517,005,991,980,343,996,247,
115,200,438,005,094,064,876,831,106,793,559,462,588,859,797,027,502,143,973,
997,744,344,273,070,429,664,397,496,059,586,181,712,303,295,999,938,506,860,
469,873,069,870,334,239,198,847,471,333,236,008,263,131,175,729,872,297,932,
849,154,247,441,899,948,076,685,303,657,416,759,329,092,545,855,789,444,709,
516,408,244,206,391,247,043,959,129,934,319,215,140,379,641,874,593,398,952,
078,808,586,546,534,572,362,376,572,982,160,592,663,146,392,215,589,979,191,
748,735,996,121,801,493,351,279,495,068,468,650,107,600,785,782,027,755,866,
558,856,121,145,888,936,703,253,087,236,021,431,479,367,930,255,945,498,505,
190,767,731,931,123,145,708,126,135,425,504,025,021,839,996,878,331,551,047,
442,614,494,413,858,270,409,561,786,483,601,817,507,784,641,506,384,130,748,
069,233,061,944,798,716,394,844,836,137,451,348,370,066,001,062,768,509,903,
456,386,901,306,050,885,278,377,631,900,845,173,750,453,396,321,355,093,686,
759,906,451,707,427,980,741,603,904,946,690,270,294,201,439,817,967,758,370,
249,930,376,830,117,094,361,579,350,788,582,703,165,913,528,116,395,151,180,
159,949,676,148,637,190,431,533,389,692,847,451,935,142,622,134,094,762,606,
285,980,574,229,743,619,472,611,477,520,836,871,699,044,702,464,728,073,731,
142,217,947,169,411,799,954,427,891,722,693,764,332,267,473,595,679,210,504,
355,298,704,269,828,579,646,593,921,688,313,462,187,900,622,396,791,837,043,
719,984,659,737,186,282,159,461,403,591,953,822,043,967,029,081,740,663,062,
871,170,037,495,007,472,792,027,343,122,368,731,424,136,498,725,494,370,680,
136,461,265,760,814,115,764,182,922,065,914,924,423,177,449,656,393,672,733,
479,857,131,832,068,383,304,905,623,466,589,758,908,682,284,611,517,997,550,
689,781,442,220,563,094,169,394,151,189,512,372,701,627,901,892,268,358,414,
149,297,048,052,444,985,862,068,477,324,052,836,543,238,785,685,477,437,578,
979,048,590,582,875,884,498,114,150,803,785,057,790,337,856,008,823,879,981,
610,020,803,125,655,854,332,738,087,016,405,386,279,390,850,257,624,856,653,
659,582,128,466,105,226,026,038,664,065,576,496,769,144,209,842,436,784,377,
036,693,811,877,174,769,247,847,012,564,658,339,842,209,946,305,183,111,347,
355,722,406,584,886,528,730,102,073,218,836,515,121,938,266,686,327,802,612,
934,098,642,867,972,422,007,196,103,393,378,943,100,600,340,471,840,081,384,
033,830,789,409,282,112,914,237,210,172,931,781,670,019,735,969,984,655,208,
165,658,966,436,523,434,415,591,554,302,023,871,008,529,260,519,896,751,308,
770,898,731,153,367,008,872,359,082,625,180,663,416,089,753,237,101,185,597,
717,967,612,339,797,913,814,821,581,212,137,142,835,375,870,998,363,245,327,
252,694,035,111,805,927,642,762,265,881,918,534,722,457,046,638,698,079,360,
228,410,657,118,398,511,495,708,213,985,761,187,421,908,093,689,809,822,256,
396,744,405,927,271,635,422,131,699,693,224,203,043,436,956,866,894,671,825,
644,701,781,389,613,497,522,526,673,944,072,300,486,260,478,803,859,592,356,
046,695,892,638,123,497,123,544,340,289,383,033,201,306,101,304,654,786,971,
201,617,201,148,637,489,362,975,675,472,666,765,568,281,153,469,641,744,918,
747,539,001,558,416,639,174,319,820,175,182,771,016,262,654,995,280,387,015,
006,292,826,663,594,819,081,261,548,301,166,861,904,138,806,183,689,222,343,
277,071,345,976,102,599,937,419,605,076,683,440,793,383,552,308,053,639,386,
861,646,540,834,926,670,768,491,988,994,509,343,742,342,232,456,034,670,183,
880,088,455,562,854,264,606,858,030,364,555,483,254,780,990,049,716,185,511,
359,401,122,435,363,999,301,409,910,527,870,129,418,737,825,411,902,415,664,
478,584,398,633,595,772,060,135,776,992,024,957,048,964,560,253,869,839,034,
021,211,802,720,640,545,082,835,086,894,396,347,508,543,125,715,916,461,767,
157,735,827,363,407,286,284,096,203,812,723,527,554,987,014,302,208,178,009,
449,119,466,948,122,304,915,712,139,273,900,616,083,315,808,734,456,807,633,
165,967,885,128,768,575,212,623,001,912,657,679,802,071,319,093,470,238,901,
058,974,925,903,305,680,371,759,898,385,058,686,946,252,010,274,334,445,376,
802,814,137,379,398,832,618,765,020,646,370,850,074,878,262,541,600,450,921,
242,116,217,641,133,518,109,872,910,912,492,270,954,904,237,853,273,944,701,
753,896,003,435,726,822,771,493,656,957,358,795,566,268,797,164,553,547,939,
320,065,670,691,074,388,905,249,576,538,118,425,692,459,975,672,693,932,261,
120,911,756,365,144,514,050,152,101,227,574,892,302,069,987,038,152,697,558,
541,277,078,682,888,384,896,064,342,553,746,636,810,588,807,886,909,714,367,
149,178,127,367,558,070,863,355,192,404,076,037,388,481,466,058,060,723,684,
588,279,261,965,655,248,016,197,504,491,599,014,215,040,959,536,370,978,782,
406,242,541,077,339,572,371,281,527,478,505,620,979,947,452,447,442,215,816,
243,150,006,805,314,201,916,052,734,840,419,005,083,134,487,219,720,491,292,
882,862,589,989,106,446,663,759,249,730,572,928,055,616,588,355,587,346,839,
023,000,918,063,319,305,095,088,763,167,277,079,204,894,452,188,174,809,908,
718,629,985,434,088,413,618,254,198,098,026,779,448,423,783,893,154,261,291,
663,111,731,613,712,407,774,940,771,225,197,796,253,993,911,225,072,090,158,
119,036,865,998,927,988,544,772,975,750,443,348,093,902,416,083,862,328,419,
564,699,677,080,489,424,220,161,245,152,270,866,318,503,316,554,671,647,399,
938,540,166,369,209,109,463,415,015,673,246,866,813,592,862,369,966,752,893,
287,169,765,449,689,767,757,484,073,502,241,752,642,188,352,596,304,743,190,
478,683,089,190,027,826,511,631,396,759,381,041,879,482,884,207,295,678,926,
979,581,781,549,691,667,343,044,092,397,513,338,010,430,386,290,441,468,708,
296,211,516,237,395,310,110,574,721,610,507,988,054,916,328,720,626,182,379,
693,602,087,257,751,225,571,528,224,815,026,071,292,665,186,306,550,943,426,
022,544,828,740,849,807,642,181,116,495,368,835,522,593,184,596,843,325,699,
272,786,765,174,856,614,632,733,172,005,099,168,420,346,522,490,020,079,260,
453,222,046,491,402,720,475,784,532,581,416,456,596,281,816,729,105,178,777,
063,852,001,309,122,908,884,634,675,575,034,299,540,739,860,804,631,953,907,
618,446,597,758,052,550,232,652,795,068,133,542,635,959,638,260,341,656,127,
323,552,408,432,592,783,395,364,642,976,272,283,984,598,867,315,366,213,555,
116,761,733,883,799,508,626,778,865,493,188,679,366,285,164,769,734,959,293,
829,967,400,279,235,498,571,485,310,180,862,356,830,675,215,247,355,777,812,
768,421,202,854,942,382,537,723,686,637,617,790,771,333,342,979,785,470,009,
559,566,756,652,548,057,082,067,299,080,014,515,248,145,719,039,325,515,994,
741,672,277,558,805,068,278,722,407,458,876,958,327,951,033,597,547,604,081,
587,783,601,857,583,981,750,988,190,895,969,209,447,473,101,676,749,910,833,
145,297,192,559,797,404,296,029,526,723,797,392,990,475,488,614,190,278,998,
073,166,829,265,461,590,190,653,018,951,363,689,576,265,610,623,228,552,675,
503,905,971,735,195,361,796,421,092,347,348,020,132,288,426,841,495,088,606,
718,975,490,828,098,517,929,068,781,140,744,998,277,758,001,057,590,478,820,
437,274,626,213,864,023,933,035,135,737,243,766,228,147,990,655,752,886,341,
109,583,882,482,439,362,926,917,435,310,694,223,300,096,029,856,792,805,248,
731,967,891,710,092,364,011,323,524,726,089,776,823,899,887,930,588,873,702,
323,490,193,720,658,572,646,921,064,240,099,171,844,944,880,190,279,783,131,
061,136,227,989,217,695,430,260,796,084,127,550,447,215,978,712,939,030,170,
139,697,320,442,441,402,187,527,011,682,658,126,739,150,270,976,512,050,354,
947,796,092,119,771,539,252,324,099,609,774,687,793,863,455,688,189,518,886,
836,992,887,322,947,876,210,169,902,670,753,153,562,950,575,783,751,040,349,
144,250,789,373,247,505,274,399,374,264,306,364,121,656,900,841,324,530,841,
479,728,248,875,595,231,454,199,545,946,900,361,695,457,258,441,375,396,976,
717,973,974,994,829,351,215,463,977,962,419,883,047,969,311,908,797,675,160,
378,332,503,588,689,678,895,713,680,824,713,803,648,138,634,113,627,974,035,
895,812,970,223,496,884,562,276,156,400,746,213,171,962,451,645,132,404,291,
530,136,720,572,431,243,932,732,059,606,636,875,913,904,160,949,402,492,291,
458,430,938,854,704,700,368,718,669,665,548,300,707,480,256,067,724,382,342,
862,986,670,978,875,837,044,014,737,919,444,282,325,985,100,616,921,849,938,
927,343,969,939,993,282,098,513,756,224,839,972,342,474,490,775,939,838,255,
064,905,913,659,228,737,588,786,412,795,220,043,028,977,268,122,082,608,053,
453,274,251,014,852,292,563,515,247,363,726,081,740,969,917,085,978,592,093,
404,840,936,818,399,149,553,007,773,501,264,321,322,784,305,190,219,858,976,
839,650,170,018,575,600,259,060,227,478,115,912,477,982,037,167,685,965,973,
724,250,357,925,111,631,244,524,644,168,035,790,788,693,929,438,664,434,408,
552,759,479,270,067,349,198,545,721,147,354,808,094,938,731,292,832,612,091,
975,528,989,919,997,207,119,940,832,515,158,354,067,243,518,890,036,671,103,
000,817,839,225,344,824,755,339,583,409,193,548,401,904,243,180,238,027,876,
651,109,727,838,591,548,940,779,676,733,350,506,786,389,217,627,155,656,285,
323,938,045,033,986,703,001,478,495,087,537,278,471,154,595,194,338,163,994,
201,109,360,178,031,038,115,890,284,569,717,909,398,839,495,610,518,879,632,
584,036,869,488,115,958,851,108,619,399,183,368,101,838,533,803,565,017,364,
889,216,559,177,090,162,306,811,721,929,880,716,608,099,240,750,765,478,725,
149,976,214,100,266,092,765,491,476,341,492,426,747,223,719,017,451,767,027,
334,085,054,248,860,522,170,507,389,813,894,985,196,146,946,865,940,398,455,
785,062,958,013,829,722,122,343,991,224,187,691,247,631,422,817,564,708,673,
732,471,667,214,437,173,556,788,850,730,185,966,357,928,438,139,731,644,934,
626,107,492,934,596,477,176,840,172,892,235,396,372,518,236,063,253,627,382,
542,460,296,378,885,509,088,615,813,762,157,243,950,636,460,197,864,747,367,
756,722,714,610,107,344,056,881,068,075,300,063,527,869,641,835,825,447,089,
044,584,561,284,170,145,237,472,651,051,794,109,517,783,303,577,020,632,708,
087,353,393,888,507,063,843,040,399,829,283,414,367,521,502,608,012,544,573,
319,390,313,667,850,405,936,886,442,937,550,582,002,577,616,369,649,905,848,
016,585,185,605,121,086,679,081,017,116,316,990,638,226,617,300,831,177,223,
943,464,766,175,956,012,343,224,331,166,463,073,810,332,762,143,056,140,520,
566,812,156,807,525,165,452,994,994,438,108,126,255,120,106,575,877,584,407,
976,538,719,686,694,513,440,777,645,201,990,043,398,180,932,349,391,755,937,
204,518,072,792,443,962,727,267,933,417,788,942,925,691,891,021,445,035,993,
813,914,940,080,123,233,681,578,284,577,532,480,239,414,111,439,144,078,659,
514,347,235,671,566,847,867,600,518,803,500,527,220,066,613,784,990,001,472,
628,438,741,285,684,376,938,535,226,173,544,955,584,506,369,458,331,922,252,
875,290,614,330,832,838,130,964,456,572,939,714,799,159,126,953,730,971,922,
036,711,356,507,919,788,990,331,194,406,186,818,884,005,052,198,633,191,944,
473,902,874,900,550,676,333,574,423,131,633,835,257,037,830,901,520,652,478,
435,296,730,888,545,479,440,079,844,156,990,125,218,227,693,654,604,797,223,
490,565,023,411,430,278,579,553,016,154,524,301,154,127,275,322,792,074,921,
273,290,531,076,562,047,068,731,872,788,754,092,883,865,708,539,984,248,829,
170,946,289,242,149,357,814,951,703,269,035,095,317,819,498,907,209,342,346,
246,879,545,487,832,979,739,204,475,560,234,259,338,970,611,852,221,121,643,
584,724,236,446,039,530,672,031,220,737,776,331,891,031,649,386,284,477,229,
604,563,090,135,115,093,378,288,147,006,264,168,304,199,051,377,145,207,733,
665,290,495,221,040,095,734,841,937,018,683,229,832,395,876,117,154,105,310,
159,101,085,915,231,415,053,742,355,709,649,417,617,838,541,179,736,983,061,
691,442,809,013,390,294,486,344,929,588,151,441,677,616,311,230,371,947,454,
334,644,137,239,892,350,209,706,380,844,739,517,769,642,275,957,421,618,987,
712,169,556,699,356,210,807,698,883,005,183,262,894,409,099,905,512,090,078,
449,936,338,654,466,660,027,775,410,229,816,522,958,141,271,008,907,666,444,
899,350,497,151,147,535,573,640,119,712,578,544,789,840,760,297,604,607,212,
732,021,320,861,959,605,513,363,374,708,302,981,975,086,856,369,508,027,359,
584,078,930,967,610,016,861,949,069,728,844,989,765,598,805,196,262,235,629,
383,853,555,675,477,016,727,197,214,024,208,201,640,161,571,430,361,177,760,
153,318,946,340,269,808,472,644,376,615,511,066,639,035,354,165,957,915,033,
472,214,259,881,000,182,474,070,056,168,848,953,421,155,013,638,106,121,540,
519,556,863,369,723,587,754,152,080,832,677,313,271,630,403,812,271,236,132,
656,255,012,604,584,027,345,087,879,573,877,137,391,692,183,799,379,991,101,
083,643,878,501,896,200,751,329,233,201,723,011,399,612,204,198,006,967,630,
466,924,794,014,813,960,503,715,216,710,504,246,726,698,683,826,971,505,215,
126,210,357,137,137,653,719,476,676,463,655,582,096,423,427,896,338,571,328,
965,940,768,075,894,917,485,971,558,736,000,826,064,130,869,920,951,043,373,
538,412,861,750,955,839,240,364,236,118,317,090,702,566,712,561,224,373,810,
511,269,701,602,796,223,290,558,084,204,372,773,818,854,099,237,806,776,037,
846,185,920,577,901,305,309,284,530,462,607,305,927,955,580,222,018,088,962,
191,903,521,159,187,704,536,117,370,128,540,373,137,220,391,218,416,530,568,
325,152,166,244,929,146,536,183,904,137,135,994,356,297,699,669,178,906,525,
323,077,886,207,411,499,650,754,210,372,267,711,076,697,971,581,124,713,787,
907,875,349,192,699,848,851,603,477,950,636,921,411,987,032,752,902,318,784,
523,024,591,323,375,374,784,577,195,488,220,479,252,143,967,595,795,480,598,
512,827,030,224,087,877,958,404,619,332,042,794,728,295,729,188,456,147,932,
081,941,688,136,611,756,159,776,503,630,177,821,640,979,753,448,652,686,249,
556,832,698,645,466,184,522,301,217,688,393,759,165,129,952,243,472,885,537,
404,615,173,841,470,878,683,679,705,039,725,092,782,710,499,872,778,133,829,
947,350,078,070,347,337,577,672,816,424,584,918,840,081,375,451,055,442,700,
139,736,827,130,960,543,511,770,172,673,504,220,503,004,645,923,613,868,465,
290,014,636,223,870,083,108,417,468,874,891,846,830,932,839,030,807,726,985,
716,782,296,724,653,571,152,828,234,217,750,034,043,554,449,096,969,366,073,
896,960,767,417,166,102,508,833,386,553,308,144,246,329,403,460,929,910,695,
518,266,756,186,049,389,406,535,245,047,435,146,372,348,161,958,639,776,031,
577,912,755,417,343,919,327,169,705,343,111,750,407,206,676,469,325,196,928,
376,306,264,595,980,909,631,204,327,598,366,418,718,076,432,246,051,305,851,
763,836,703,021,947,001,976,077,753,818,960,520,917,031,266,432,003,284,610,
985,066,863,886,973,424,249,785,384,996,869,486,665,353,382,621,265,726,426,
140,318,836,942,995,492,914,751,440,775,967,645,672,669,909,987,064,154,127,
705,464,653,591,532,172,451,618,169,501,053,177,563,182,364,107,823,714,799,
945,530,430,559,616,773,776,363,631,072,907,993,300,467,039,111,863,510,620,
001,370,863,102,381,329,682,538,064,437,845,041,586,818,536,184,362,323,521,
856,448,661,524,214,027,318,839,411,663,576,151,499,670,572,024,322,501,915,
261,558,250,144,175,845,136,618,544,959,176,871,283,469,925,768,600,458,026,
144,692,131,258,475,769,125,004,009,573,461,884,546,857,346,286,202,706,084,
603,761,338,417,209,144,916,373,037,962,711,381,732,377,325,851,453,355,644,
131,812,105,584,004,769,151,482,107,950,005,546,480,380,991,032,011,904,782,
410,056,658,515,911,821,353,255,398,939,065,679,747,705,684,772,656,326,288,
156,971,747,839,109,717,954,369,956,924,714,643,143,713,454,118,028,242,295,
895,570,348,057,000,648,809,872,232,839,785,198,524,724,397,896,637,545,294,
362,303,555,562,876,120,697,007,959,457,367,469,658,162,271,196,944,436,401,
106,833,237,605,107,578,424,691,547,377,963,867,678,158,107,440,793,406,424,
556,916,614,946,677,361,514,880,329,452,123,725,852,255,737,457,204,275,579,
316,904,631,331,256,357,666,009,437,446,354,329,563,752,211,859,495,350,348,
727,172,861,178,111,801,050,377,782,543,896,647,781,901,163,820,658,945,894,
111,943,106,888,944,246,231,733,705,281,707,745,987,744,334,013,972,614,877,
831,788,231,893,668,319,023,117,659,740,455,170,229,574,292,499,010,591,266,
550,799,946,467,085,818,461,679,926,826,402,481,176,021,754,587,784,390,761,
714,187,455,791,627,032,498,903,836,711,789,514,593,267,239,291,538,119,681,
085,671,751,894,086,404,774,430,714,008,631,870,362,989,096,110,097,165,557,
932,695,074,952,050,735,161,938,677,481,778,952,576,535,399,712,496,397,106,
074,953,136,878,478,271,621,877,483,281,916,225,280,745,085,350,011,428,599,
596,964,003,298,562,038,936,294,952,878,938,556,853,784,283,228,832,186,585,
634,856,631,752,722,233,817,681,974,693,610,378,506,184,952,169,947,343,376,
306,795,485,791,425,098,599,361,379,205,670,011,081,615,653,431,019,699,443,
697,305,361,509,666,243,723,866,400,877,085,277,338,096,774,453,461,278,337,
269,326,113,658,881,247,686,104,549,011,823,894,885,397,392,135,039,712,364,
543,845,637,294,153,356,844,487,698,029,831,721,577,010,032,710,218,240,260,
572,593,870,581,389,983,964,483,857,751,305,444,377,475,692,074,654,289,446,
168,272,725,018,229,812,605,658,205,153,118,742,840,137,206,235,984,937,156,
790,241,970,716,551,200,406,269,858,200,763,583,543,480,189,110,291,991,476,
184,539,451,877,933,008,228,467,363,208,405,586,138,281,015,262,003,278,552,
586,877,385,919,667,521,731,672,949,156,279,125,849,309,936,713,842,812,173,
746,641,953,608,089,003,535,853,884,151,965,383,541,773,502,003,549,261,556,
659,314,784,623,422,726,478,630,795,022,944,322,947,178,199,616,519,772,721,
566,805,786,183,242,099,790,294,508,328,449,530,426,791,707,348,118,730,523,
716,354,983,957,407,305,076,924,092,020,182,974,035,162,626,757,771,521,035,
548,180,887,734,941,915,660,495,055,849,425,809,604,894,423,792,132,384,364,
683,892,617,187,962,854,224,442,053,723,920,903,842,147,623,242,336,140,149,
235,045,187,036,904,600,818,880,943,107,929,781,869,768,375,227,351,315,041,
219,077,939,585,908,525,058,484,810,874,207,074,346,133,416,091,564,649,173,
109,497,409,058,957,993,932,029,054,466,370,480,344,001,439,912,199,023,971,
126,300,794,735,934,377,497,879,537,750,014,585,310,325,298,581,672,988,856,
991,605,843,689,026,563,299,620,071,824,413,626,003,988,205,724,483,492,939,
173,050,601,664,191,835,175,542,955,671,771,768,716,892,557,519,665,633,008,
601,056,618,205,439,173,899,013,875,844,153,071,704,117,246,861,110,246,490,
995,448,992,407,195,496,920,814,771,004,019,124,879,043,443,556,750,474,707,
321,672,338,082,874,915,049,219,709,326,136,334,032,935,545,027,468,811,576,
440,843,322,145,843,759,637,620,334,301,025,723,978,542,408,510,376,288,405,
616,603,453,242,011,835,884,569,725,252,324,909,261,575,372,163,768,805,095,
159,654,523,530,993,884,027,097,894,187,677,042,017,893,375,317,646,623,779,
835,865,803,878,456,023,683,231,370,324,667,648,542,507,665,728,132,276,307,
337,467,741,384,479,838,305,965,522,772,045,604,070,123,141,878,883,188,022,
313,156,254,045,709,043,323,124,293,085,425,473,142,588,143,647,552,530,743,
239,040,227,720,032,974,194,031,459,264,520,773,942,316,011,821,618,334,101,
173,922,236,195,543,866,489,148,614,455,773,667,519,233,239,763,799,805,131,
037,211,709,393,252,321,053,593,990,956,344,581,313,838,324,431,720,691,346,
502,790,728,816,466,468,584,738,351,652,301,921,543,094,684,091,040,402,050,
725,271,703,413,191,701,811,339,051,728,120,513,753,821,750,188,909,631,615,
631,316,120,069,300,402,973,551,260,812,458,605,812,764,046,250,250,437,579,
699,456,563,206,260,095,796,772,664,180,014,449,172,943,894,476,009,132,167,
595,396,435,388,174,073,451,316,470,907,333,707,716,598,155,989,006,264,865,
126,019,258,360,632,236,928,903,834,135,291,053,147,238,545,961,420,060,521,
295,891,596,955,853,554,325,523,803,062,248,147,942,313,670,974,300,447,514,
471,186,995,128,612,134,041,721,140,885,413,639,338,425,817,062,819,345,784,
954,077,824,404,305,702,754,513,854,541,734,666,891,181,585,902,411,033,139,
271,150,228,527,953,950,708,913,671,404,755,989,530,190,723,457,395,579,725,
215,592,829,965,363,184,972,174,258,217,500,876,968,359,016,784,947,123,609,
789,085,670,634,430,973,931,692,677,762,441,304,392,161,582,525,039,989,178,
249,683,740,500,675,952,081,581,344,285,199,553,434,880,859,024,011,022,395,
812,282,125,350,064,527,226,966,371,596,315,805,090,185,783,273,751,857,292,
767,583,276,736,843,341,178,359,510,463,037,772,398,305,378,578,157,730,772,
807,698,214,906,248,893,626,170,864,864,232,708,761,395,384,493,714,487,198,
344,183,061,482,174,927,212,903,303,593,064,769,669,202,893,518,157,182,711,
870,158,055,285,832,582,374,295,864,254,116,666,143,977,075,127,069,073,969,
792,598,560,137,754,841,218,197,053,141,443,386,086,922,112,373,197,627,623,
968,958,772,930,101,005,319,069,948,216,941,654,452,743,832,692,544,017,151,
203,755,409,282,192,837,291,222,485,097,980,666,104,347,365,188,194,872,042,
409,237,609,697,021,518,410,307,046,906,397,803,140,323,218,442,968,083,767,
229,584,254,317,519,090,374,851,368,314,309,641,885,620,381,464,556,325,380,
388,010,199,816,986,157,825,960,509,402,279,423,151,050,273,768,355,038,956,
045,024,859,714,217,401,676,212,129,962,634,501,164,059,934,016,633,573,459,
138,000,443,443,069,232,121,644,948,630,858,791,728,455,335,330,696,666,951,
455,117,440,141,845,613,086,816,333,019,448,024,683,554,661,335,405,406,709,
968,135,473,654,800,620,538,325,611,390,082,534,577,074,750,748,718,244,979,
500,387,424,852,013,187,909,882,659,245,389,349,187,551,878,719,582,881,312,
162,722,084,198,770,466,247,119,352,158,703,947,523,964,696,981,742,830,565,
240,536,229,906,741,141,763,394,163,942,169,623,302,868,436,188,169,519,751,
205,970,386,239,000,461,841,629,687,389,680,777,799,306,925,659,322,313,453,
948,785,995,284,265,688,357,919,212,669,898,522,837,778,067,797,335,226,632,
131,463,184,365,898,547,777,777,421,886,401,954,022,773,994,119,019,158,911,
494,949,339,012,097,665,547,925,541,846,092,384,230,409,217,387,260,901,747,
917,592,671,969,194,913,087,853,656,172,066,186,154,395,554,338,086,142,149,
667,360,983,656,615,190,830,617,481,246,844,086,152,606,582,513,713,801,303,
842,925,147,556,784,274,554,138,210,859,045,037,650,189,950,862,978,325,723,
250,977,998,507,531,094,864,150,878,283,824,108,396,947,633,289,034,467,722,
600,503,482,542,394,689,345,186,022,119,924,101,526,863,857,474,643,395,239,
694,947,321,249,642,757,602,740,992,239,029,972,074,890,859,420,841,808,453,
321,415,674,508,493,573,966,110,678,543,091,344,927,592,031,161,109,022,975,
074,521,104,252,650,049,737,572,608,013,476,684,097,493,574,895,089,430,868,
588,628,397,955,555,476,622,955,311,317,207,031,931,060,451,370,066,262,537,
337,004,811,984,802,272,645,769,287,527,168,343,707,312,981,817,719,974,325,
928,543,707,515,253,705,663,087,764,974,848,860,833,700,363,136,573,514,380,
540,924,439,072,899,053,286,112,171,029,533,409,185,733,919,030,404,310,357,
806,240,199,160,575,493,531,960,606,100,597,553,695,952,284,284,432,037,271,
681,462,639,280,149,655,572,392,064,752,455,428,024,128,057,344,135,863,765,
100,572,598,151,592,505,539,724,009,191,932,912,531,971,444,595,355,448,617,
215,011,547,714,936,230,680,324,332,778,101,587,123,909,973,861,270,870,218,
487,910,826,725,507,366,536,963,242,534,306,722,270,016,974,804,651,045,466,
987,005,963,658,154,577,515,936,054,391,004,594,722,610,594,845,353,365,229,
448,661,268,004,448,920,413,043,782,070,976,555,933,577,731,018,671,560,338,
359,079,649,247,307,232,515,815,296,286,416,627,007,323,226,047,036,342,568,
258,867,383,935,617,951,915,499,350,682,594,833,342,245,570,570,137,425,469,
454,557,935,642,177,490,510,894,039,672,629,117,926,946,498,150,475,061,316,
759,638,359,764,564,140,729,339,230,183,826,641,706,192,417,313,215,925,278,
160,005,211,490,766,577,812,584,915,169,243,875,198,501,663,598,400,115,451,
679,633,325,801,374,721,482,621,735,595,969,408,609,783,352,979,573,512,282,
319,273,666,121,565,398,388,855,570,039,217,547,417,324,976,981,519,334,664,
656,365,386,645,590,510,457,086,425,420,933,494,916,032,544,174,662,280,983,
492,595,814,097,369,765,596,800,005,249,520,671,155,871,408,323,883,196,754,
518,519,304,849,196,853,269,312,321,355,087,005,360,451,543,459,214,687,627,
422,034,358,521,259,253,013,730,824,127,262,357,595,779,030,874,288,311,283,
956,671,537,679,069,557,309,907,137,549,677,443,201,181,951,168,585,510,179,
386,395,130,851,249,975,124,882,454,590,595,888,981,506,603,626,359,262,964,
675,192,410,898,209,516,846,472,507,161,107,874,350,390,366,112,898,279,407,
313,169,347,280,513,192,352,161,147,734,735,816,303,235,604,701,557,033,180,
929,626,117,788,271,475,069,058,353,965,420,105,140,404,965,474,820,311,128,
440,926,892,527,336,859,847,038,737,985,831,076,156,829,744,869,103,466,785,
452,355,306,627,214,955,945,561,039,233,245,448,568,453,684,744,304,971,065,
868,313,777,938,413,894,885,260,856,763,399,365,049,184,018,648,695,416,253,
828,591,576,132,480,760,736,472,933,274,680,589,590,117,920,633,208,707,591,
730,876,838,633,279,352,660,148,852,533,241,133,435,866,149,037,489,387,313,
669,041,121,808,285,475,451,744,170,189,552,570,396,725,288,115,875,224,835,
678,285,513,182,915,495,059,639,140,470,753,463,343,732,959,897,266,961,212,
788,712,513,908,421,989,316,842,520,351,299,470,487,260,766,493,692,651,936,
707,250,645,382,703,677,607,794,145,275,830,148,243,069,627,179,303,693,838,
439,444,697,852,245,085,835,197,952,205,995,582,359,487,569,020,874,601,257,
082,483,637,606,376,169,224,336,610,067,132,546,297,577,910,101,910,044,426,
693,442,337,455,445,519,964,736,389,366,184,459,106,116,140,851,728,553,684,
879,716,023,430,337,257,636,246,734,484,328,217,017,780,122,165,360,760,677,
085,360,129,859,245,860,548,757,929,164,067,885,686,063,357,782,457,123,960,
213,403,854,095,441,024,937,998,960,714,238,756,999,147,900,963,023,867,289,
805,852,818,281,486,521,868,927,181,594,874,198,428,067,762,793,254,905,916,
804,592,517,799,015,141,051,111,267,647,070,809,261,549,288,869,472,152,617,
837,210,545,982,653,365,761,932,890,900,943,643,263,058,040,482,525,193,571,
755,748,079,829,068,122,991,619,596,282,771,854,818,702,858,676,496,088,755,
219,223,906,753,922,950,241,134,384,275,429,721,409,318,826,279,670,220,127,
215,345,707,021,045,818,628,408,661,416,984,334,760,131,331,639,463,023,394,
838,050,385,973,510,812,858,441,318,902,243,658,696,900,249,888,453,353,545,
950,627,886,813,447,822,941,850,879,118,943,709,935,350,426,323,489,365,186,
552,579,900,096,534,693,086,984,977,972,854,835,929,846,073,239,417,472,500,
075,744,775,016,817,282,755,644,699,754,667,792,705,532,562,954,540,023,678,
797,711,373,174,980,711,314,148,344,386,661,473,938,864,235,108,026,449,988,
473,041,584,823,150,048,787,089,749,173,213,183,609,406,149,216,234,316,832,
904,206,035,786,783,162,078,242,110,378,770,487,343,802,687,302,133,324,492,
880,123,086,916,334,802,676,992,558,098,938,892,512,800,284,687,814,523,815,
143,903,452,847,585,400,139,480,968,449,741,059,718,885,493,320,862,113,717,
041,659,686,033,628,702,466,818,251,280,514,747,420,251,845,791,507,299,941,
601,967,200,436,682,669,663,587,062,865,051,039,221,609,615,107,347,638,652,
032,559,009,137,723,271,311,531,318,599,109,461,852,022,363,267,840,628,746,
820,288,435,138,229,973,616,548,413,081,463,515,583,712,079,431,333,501,894,
390,736,937,768,885,759,353,938,454,456,129,850,392,413,652,412,104,998,841,
238,662,976,164,947,949,733,674,402,409,641,444,158,248,504,374,817,924,393,
464,875,454,869,759,780,229,952,193,344,077,726,939,025,338,404,203,374,780,
715,034,449,369,515,823,677,896,011,019,781,472,200,925,687,536,109,470,322,
225,451,500,034,097,385,206,790,019,537,685,761,821,709,098,291,162,934,785,
811,471,246,623,318,512,337,122,228,005,907,058,120,685,894,669,368,930,014,
580,042,716,548,727,878,877,755,115,456,482,068,606,716,239,828,893,146,081,
294,454,824,651,780,092,035,929,344,518,451,404,980,000,302,591,396,678,067,
179,472,322,818,110,321,054,882,156,559,568,877,813,066,810,231,308,378,094,
590,785,097,695,915,343,701,387,391,986,559,306,226,334,255,010,378,381,073,
210,334,337,110,852,042,237,712,364,279,379,441,753,545,660,679,733,058,402,
151,164,904,389,775,554,524,832,778,402,218,783,435,697,992,932,479,092,888,
843,099,612,040,084,982,861,440,219,806,304,530,481,246,099,453,256,118,278,
499,229,687,957,378,489,519,052,926,534,341,295,143,261,981,214,471,886,969,
459,073,742,573,819,538,083,871,012,147,431,878,191,285,044,639,754,607,208,
973,622,531,249,857,028,487,748,530,096,138,091,916,409,850,706,576,523,156,
933,423,778,223,109,249,527,678,018,097,607,746,914,884,772,172,215,784,697,
080,109,061,616,095,128,161,961,597,553,130,235,938,066,844,424,456,508,247,
275,550,022,663,406,358,047,931,475,326,542,156,896,485,064,372,361,884,965,
507,860,352,023,535,300,875,664,797,221,695,383,238,231,174,289,055,202,213,
094,001,257,780,358,409,061,153,247,289,665,782,962,526,429,448,973,163,766,
656,662,810,304,941,193,907,676,387,309,162,224,260,109,901,343,459,010,039,
818,189,082,164,794,784,790,468,236,565,192,996,830,179,053,822,951,191,276,
382,741,586,410,105,635,041,954,592,282,498,248,406,358,044,209,090,985,331,
047,540,844,104,169,627,228,338,134,789,579,924,456,487,677,730,534,106,623,
816,683,247,843,422,159,409,100,160,752,116,507,445,745,304,245,676,003,678,
195,420,004,264,468,423,479,851,255,525,165,855,413,332,802,097,144,146,347,
955,148,503,912,292,319,432,230,660,074,943,672,566,883,297,261,922,290,615,
111,750,270,463,350,345,711,678,439,513,880,865,085,161,369,344,404,811,276,
444,441,794,605,855,575,335,271,523,557,116,204,372,258,056,373,857,262,648,
971,536,785,159,722,497,689,927,899,792,672,398,065,489,446,666,712,160,573,
015,011,860,033,018,857,509,039,959,132,213,041,671,283,712,221,734,997,474,
580,815,535,531,735,360,113,598,064,821,211,963,809,210,778,318,206,017,634,
467,918,551,898,351,782,887,791,846,859,288,538,839,860,494,125,698,694,509,
071,932,588,148,547,722,075,064,306,900,703,139,027,091,628,048,756,616,255,
106,551,432,542,857,075,204,559,564,018,954,325,253,651,870,579,381,413,687,
867,540,587,862,264,946,383,987,839,267,733,748,902,518,741,714,139,651,277,
373,649,821,618,610,129,993,407,718,687,863,712,121,744,029,131,523,059,633,
635,304,296,388,950,085,453,331,439,081,085,540,473,036,809,121,126,915,277,
770,595,965,322,574,508,653,023,038,255,484,385,990,528,695,174,229,725,290,
543,562,574,036,740,544,252,341,279,676,492,251,049,292,805,029,495,213,203,
399,626,815,173,030,099,864,119,656,466,544,394,457,785,874,720,684,476,540,
208,843,654,818,197,109,041,427,287,488,726,526,645,868,647,117,036,984,603,
096,382,550,893,869,173,435,756,326,556,681,280,673,035,034,771,317,316,798,
172,280,354,873,508,736,755,343,747,553,007,060,740,458,623,762,367,212,806,
863,712,241,564,821,317,545,309,895,132,381,465,409,977,288,418,833,183,827,
092,315,310,783,600,883,640,512,729,235,618,605,828,432,237,738,372,382,634,
429,799,781,179,265,099,265,614,355,575,838,048,662,117,923,511,541,687,057,
109,521,647,953,729,994,109,110,887,504,612,739,846,268,950,074,955,450,271,
845,221,222,854,784,265,198,822,818,558,877,186,599,151,241,736,944,791,290,
421,532,690,560,845,372,626,611,252,862,086,212,245,542,528,782,076,130,812,
043,451,366,937,462,796,580,166,708,611,739,703,637,559,768,749,042,381,678,
192,739,308,522,581,046,389,897,502,464,924,029,824,526,337,126,307,002,733,
798,178,777,691,531,894,752,864,593,440,265,423,157,290,650,888,410,435,625,
964,543,184,951,084,257,045,732,055,297,335,254,367,382,258,063,645,609,383,
951,291,346,119,850,367,179,154,076,299,257,468,388,590,762,197,886,127,416,
082,508,460,328,865,058,642,095,782,272,856,241,422,665,164,542,184,205,239,
075,282,691,798,940,188,044,663,078,502,788,064,406,880,160,966,957,178,256,
275,088,871,301,719,769,020,001,105,727,203,801,194,014,514,658,829,787,226,
329,057,988,902,329,017,900,728,120,671,862,492,460,951,282,975,736,683,306,
573,634,176,164,909,354,795,362,072,983,837,043,025,889,531,215,976,090,658,
179,397,099,162,361,828,153,147,763,683,488,394,729,694,643,927,455,280,922,
869,788,194,495,073,065,879,054,919,144,302,498,612,790,034,992,475,644,128,
944,513,446,416,861,884,320,864,369,757,250,236,431,311,669,816,694,793,233,
867,436,998,171,721,810,276,020,428,020,292,898,963,917,964,253,278,057,189,
007,266,873,564,770,076,120,276,828,687,306,284,602,467,088,088,083,082,850,
192,892,995,164,968,120,555,667,970,239,807,866,978,731,709,711,430,188,922,
632,837,070,620,912,285,678,623,379,236,934,321,184,420,840,902,886,708,858,
122,534,228,155,049,934,066,039,047,591,575,554,472,528,941,540,306,700,271,
330,554,314,367,787,025,149,227,998,998,017,747,895,018,107,254,000,886,084,
741,683,420,084,717,656,006,698,633,832,714,321,478,884,007,557,832,546,699,
605,910,875,064,632,155,186,988,043,070,611,375,827,334,537,664,036,369,114,
306,442,776,457,185,866,751,743,494,216,063,300,487,480,548,912,638,701,832,
552,575,933,577,460,603,661,675,775,047,610,805,341,448,404,791,422,333,548,
231,762,715,052,752,969,984,904,630,821,279,046,086,904,021,753,279,929,858,
841,410,826,782,718,395,058,966,415,814,060,655,152,445,798,174,123,276,235,
694,002,204,780,137,951,400,642,709,012,307,393,043,805,664,404,836,530,999,
985,904,280,148,197,312,707,595,118,097,774,904,417,147,552,814,965,696,258,
908,504,242,704,520,069,866,552,809,371,357,488,858,979,111,772,929,821,996,
445,291,424,724,251,820,007,591,042,291,514,445,933,779,329,592,589,359,915,
099,935,504,965,741,169,929,703,915,597,794,653,346,732,258,304,416,323,941,
307,442,650,331,357,554,063,251,480,002,054,075,077,512,911,260,593,925,734,
980,204,898,347,210,015,606,126,098,369,810,997,456,070,604,612,329,827,185,
104,334,254,713,521,920,544,237,268,693,546,326,425,734,143,369,091,393,716,
278,403,453,723,010,545,962,774,352,180,072,165,665,481,599,548,138,947,522,
859,552,146,442,779,431,972,921,209,430,214,705,806,768,805,536,023,031,562,
053,211,498,272,125,316,685,323,182,089,482,058,701,925,183,286,681,105,660,
833,490,896,937,116,427,859,828,499,654,453,154,682,075,739,710,303,567,434,
433,197,684,025,866,574,558,621,697,233,422,186,201,310,295,866,569,460,183,
275,772,917,776,633,124,610,412,356,995,484,892,215,436,669,007,669,368,454,
715,103,637,832,536,829,613,098,607,472,978,651,605,012,938,703,186,363,313,
780,654,003,763,754,530,634,164,228,149,576,281,194,780,683,418,520,421,473,
684,609,543,032,518,503,659,530,073,419,352,739,233,596,045,891,128,415,169,
084,505,373,787,183,643,406,579,957,708,207,005,631,929,171,263,449,690,941,
021,779,692,435,459,380,795,702,495,883,888,721,208,951,047,786,663,820,018,
332,686,362,266,367,337,056,990,403,906,832,209,464,370,487,235,686,396,977,
526,875,568,148,827,803,725,493,954,865,287,502,889,406,724,735,137,940,366,
258,111,932,473,826,051,773,632,596,630,377,622,688,333,849,169,253,359,918,
603,067,410,747,027,871,445,110,464,531,303,375,420,774,710,373,161,116,491,
664,209,999,362,463,702,565,200,959,841,155,849,287,476,119,518,862,491,397,
050,560,766,737,697,916,036,182,159,066,546,589,302,246,284,099,286,617,104,
986,545,431,851,716,230,135,747,995,819,028,895,746,616,596,169,167,377,967,
047,996,489,926,962,062,779,939,416,115,153,253,038,326,802,493,106,793,567,
638,708,437,402,518,998,457,051,382,208,982,585,563,626,601,052,170,320,032,
652,411,992,157,918,445,024,974,433,480,453,437,001,050,795,950,232,705,636,
780,240,984,455,014,035,374,154,795,421,409,160,068,104,379,947,413,670,721,
304,651,808,230,465,142,048,924,740,240,504,153,186,515,872,932,083,355,351,
117,541,069,428,565,490,241,036,476,633,328,942,088,143,702,455,343,554,853,
817,489,376,830,187,087,909,895,383,022,124,366,150,689,068,795,984,232,462,
077,178,240,044,965,155,453,154,727,530,900,706,559,925,361,867,178,003,435,
479,347,870,861,330,295,485,912,742,349,251,717,692,504,172,565,077,592,894,
976,677,008,916,148,380,541,624,026,649,413,128,124,073,599,465,955,692,722,
883,063,399,738,518,484,563,750,172,361,537,374,947,408,185,340,640,837,978,
595,579,244,110,456,374,245,699,656,095,324,413,219,701,753,344,073,580,526,
912,868,988,434,703,416,410,520,791,074,760,656,300,836,186,774,716,262,382,
498,574,635,352,662,444,730,940,326,499,529,911,527,640,178,037,581,195,494,
871,457,846,208,023,405,174,104,761,766,602,991,886,664,953,004,050,781,344,
364,621,528,762,927,956,481,198,567,254,671,855,495,935,945,353,045,388,181,
023,573,751,577,294,181,379,891,470,817,530,881,010,461,113,066,230,754,609,
187,976,298,810,409,231,218,339,435,143,798,688,565,842,870,320,021,001,605,
424,829,802,433,063,227,021,997,076,040,553,302,823,243,742,220,005,479,878,
830,108,484,046,445,671,786,337,283,003,140,677,383,170,837,935,050,223,513,
260,609,830,951,069,757,327,093,311,498,129,476,724,591,297,107,982,500,069,
077,582,617,670,015,953,129,476,653,842,614,118,737,832,679,378,195,284,986,
349,506,278,990,989,636,943,208,551,332,191,942,540,644,022,674,446,001,118,
931,697,569,363,275,599,564,510,982,908,971,773,253,469,999,692,270,393,993,
413,648,005,076,369,505,097,629,127,154,411,717,739,055,493,039,989,090,931,
914,792,139,313,995,208,238,618,084,834,886,652,993,833,011,073,892,853,546,
492,305,031,746,640,769,661,319,619,396,174,678,990,339,103,586,629,960,814,
368,518,455,508,648,115,609,506,759,170,432,499,565,973,867,484,502,935,530,
228,194,633,547,034,511,499,527,688,253,633,078,669,896,848,584,359,133,920,
889,823,990,870,347,874,260,920,907,308,755,350,766,622,386,969,654,045,064,
005,511,218,877,553,242,609,106,735,088,923,074,469,829,268,418,841,463,011,
811,040,376,540,975,762,808,867,484,506,300,843,289,130,257,124,978,743,417,
514,852,563,950,451,605,982,560,147,963,915,154,805,303,036,342,616,007,602,
965,295,154,946,313,382,376,355,801,025,243,598,693,664,912,010,566,724,737,
322,242,773,111,594,614,348,187,011,885,952,431,349,559,407,608,572,029,966,
221,379,205,020,827,795,739,075,039,002,279,851,477,252,674,913,316,868,619,
921,978,840,532,439,337,401,930,256,280,443,400,026,132,568,146,595,258,982,
845,117,118,351,902,072,225,610,263,279,204,765,730,352,347,592,907,800,444,
025,990,752,599,352,971,139,115,382,959,850,867,479,282,187,365,091,966,646,
041,490,222,301,913,784,650,575,306,869,229,429,782,028,674,454,776,367,327,
501,040,165,027,450,741,116,731,392,230,025,480,839,537,624,890,770,848,660,
606,851,577,233,618,577,141,459,841,187,896,913,852,213,846,563,460,994,175,
916,859,605,520,900,032,423,669,650,414,973,689,316,370,911,203,903,541,050,
340,234,447,505,646,822,771,612,439,905,687,077,050,929,839,744,025,056,955,
607,620,252,696,192,585,609,095,538,831,044,529,149,294,429,308,571,168,422,
884,854,031,449,712,254,005,125,493,386,584,957,594,855,835,017,978,968,867,
528,336,130,044,927,210,015,133,521,141,929,153,012,451,024,883,058,811,880,
959,916,631,923,196,934,568,777,232,222,795,732,656,850,480,168,781,335,826,
078,282,371,052,094,368,955,726,588,863,101,850,110,309,888,106,987,053,372,
152,126,957,046,882,375,197,480,839,100,503,790,346,811,760,830,129,190,699,
403,286,790,278,342,898,284,864,257,950,419,866,328,332,772,485,841,138,121,
121,164,981,209,203,859,118,514,339,221,752,968,946,443,433,411,176,521,729,
447,445,708,709,140,868,655,758,298,951,454,530,034,101,849,631,937,573,974,
587,777,701,150,816,271,914,284,509,652,216,458,782,712,404,348,549,440,825,
389,876,260,511,282,251,626,261,599,401,432,687,368,013,708,714,634,878,694,
538,696,191,248,595,742,717,381,015,078,870,690,273,715,838,247,553,996,817,
552,119,537,901,581,655,459,649,674,660,282,161,261,442,656,189,432,226,281,
354,433,548,538,873,841,811,817,693,814,642,261,699,114,563,550,633,242,378,
745,527,839,637,659,075,814,720,470,304,280,342,284,363,975,728,414,216,161,
038,578,365,951,213,989,820,810,492,909,656,387,068,847,552,265,569,793,799,
048,446,543,037,631,955,385,896,452,647,280,850,391,009,181,002,054,943,479,
568,462,062,631,511,310,535,225,585,497,186,525,637,999,450,025,381,299,625,
986,742,389,566,221,807,478,968,138,381,995,425,147,408,234,209,844,974,928,
763,115,006,448,462,754,081,049,582,940,598,520,004,045,308,661,868,760,664,
112,334,032,324,173,972,969,724,110,446,813,752,621,278,858,626,028,367,017,
491,505,876,788,193,040,348,569,805,989,100,663,248,592,933,190,331,775,735,
965,844,008,886,360,650,034,267,494,494,894,812,200,399,883,576,374,689,037,
864,614,247,564,835,647,196,128,766,399,264,768,490,978,694,347,552,281,018,
367,218,164,222,263,011,432,142,129,122,528,946,630,327,773,348,474,753,569,
746,726,697,692,907,930,581,132,590,321,062,060,447,507,607,475,900,114,708,
269,540,848,580,854,652,410,191,413,093,749,009,934,686,247,210,841,973,095,
506,710,185,369,718,075,586,052,690,426,674,413,815,248,957,430,273,641,857,
813,085,022,348,132,915,882,923,573,792,018,782,864,425,443,244,803,915,472,
369,979,011,092,104,214,054,832,029,282,841,556,745,041,475,474,217,164,542,
450,146,984,420,701,951,451,921,453,018,139,601,428,689,659,821,465,308,312,
345,916,311,990,715,367,398,018,996,306,612,343,768,578,339,537,855,119,154,
559,222,358,987,921,348,266,485,720,951,794,678,307,940,366,607,940,951,518,
263,536,445,471,141,809,292,543,559,347,268,285,781,210,157,597,005,409,058,
482,281,136,054,523,224,605,561,436,474,001,766,348,546,947,520,335,016,614,
222,158,879,815,735,735,007,172,991,580,928,617,771,658,598,207,833,979,362,
364,858,280,876,290,336,934,927,429,140,531,289,414,253,279,396,504,663,479,
718,916,363,543,180,415,139,397,407,262,034,828,911,839,981,792,061,011,650,
523,828,111,107,964,401,407,732,217,281,475,159,940,426,731,268,717,716,404,
148,862,498,291,317,835,355,400,406,525,629,296,549,321,779,619,412,409,413,
708,768,696,213,802,368,302,970,687,182,636,804,027,432,147,386,202,462,003,
599,276,726,619,477,858,629,209,070,972,681,262,544,511,166,423,865,170,447,
034,421,488,323,999,736,228,776,349,517,322,286,301,980,798,761,551,505,874,
108,737,136,153,274,330,440,749,667,856,720,607,185,437,111,217,895,410,922,
176,763,457,024,967,956,976,275,726,914,485,715,468,497,036,720,836,213,214,
582,546,289,514,101,310,244,216,464,819,476,360,056,585,013,671,426,540,769,
146,509,512,837,312,065,856,157,596,803,428,478,086,454,545,876,637,860,009,
087,261,733,979,802,191,623,581,702,557,552,769,675,997,913,864,123,036,539,
799,232,369,792,711,837,713,884,270,390,969,283,573,530,436,267,341,896,649,
806,787,601,679,537,527,022,496,732,688,974,574,670,477,450,718,792,550,098,
963,844,181,001,355,777,518,569,243,538,929,946,700,371,998,430,712,101,977,
928,529,662,034,916,660,828,960,732,533,928,552,409,812,274,679,717,758,336,
873,709,721,937,383,092,423,635,417,030,527,626,910,013,416,837,667,743,417,
448,084,400,921,427,242,668,127,958,456,596,168,288,077,861,442,081,462,548,
812,714,309,940,008,322,606,140,413,048,158,764,178,844,984,323,328,060,788,
170,021,615,038,197,599,217,870,103,753,651,029,585,337,601,283,288,862,880,
598,379,122,573,127,239,063,258,092,066,838,644,557,333,331,632,384,897,368,
285,988,662,999,107,838,844,799,899,221,697,484,257,073,452,914,705,224,298,
039,527,818,343,154,722,044,011,241,102,295,237,608,673,513,535,444,119,041,
267,691,744,016,617,346,117,701,658,660,553,594,824,526,377,351,913,837,334,
499,471,187,933,572,357,675,115,577,665,669,673,369,954,724,561,506,954,141,
785,035,093,147,717,970,606,147,106,431,551,462,771,957,116,120,067,997,936,
511,509,464,525,739,561,613,854,738,936,586,280,667,625,788,820,176,086,187,
128,570,890,402,714,794,960,392,350,004,136,220,929,201,517,000,014,342,689,
227,785,536,146,502,232,307,856,107,128,586,330,207,151,685,142,460,145,174,
878,445,072,449,977,301,804,279,135,605,393,724,026,043,283,256,445,483,539,
482,220,189,751,629,252,658,798,552,440,365,030,911,926,853,480,199,332,117,
954,993,432,784,938,341,181,245,903,371,052,074,573,147,441,481,077,207,868,
893,933,484,399,116,154,109,367,358,255,365,142,147,643,394,085,944,802,629,
494,940,748,661,789,295,685,600,175,761,121,578,343,771,571,945,146,645,788,
767,916,170,474,096,994,545,852,722,799,383,348,118,265,954,511,086,326,623,
525,637,826,712,371,955,248,342,364,822,742,842,501,475,958,346,426,392,324,
255,144,591,362,302,752,956,466,089,848,218,863,342,621,818,021,120,075,618,
908,234,992,721,140,326,769,635,394,335,511,492,804,551,651,505,967,875,709,
127,656,165,605,086,999,328,676,739,448,549,052,452,745,362,407,094,348,228,
016,960,278,277,447,038,236,933,012,746,969,778,206,475,488,636,704,539,289,
122,470,297,404,901,899,222,785,748,813,226,342,154,076,578,744,895,258,852,
581,336,928,643,867,552,493,344,126,551,984,379,403,617,037,349,524,902,477,
325,811,652,175,164,817,037,767,660,576,989,388,225,448,600,773,884,540,630,
759,041,295,406,948,479,170,828,041,381,387,311,473,905,881,740,589,034,540,
538,892,604,669,929,565,473,601,152,391,685,070,360,743,740,287,205,365,662,
995,087,698,097,909,586,986,007,463,275,335,381,902,393,283,490,331,176,209,
822,234,099,239,055,274,268,444,204,828,950,738,713,133,564,793,545,450,352,
251,750,208,477,859,173,741,189,170,708,348,638,246,822,594,671,801,190,844,
211,333,410,575,201,922,671,936,243,226,375,801,839,211,452,674,471,343,277,
032,425,162,153,244,703,938,694,821,108,823,953,935,087,387,870,082,831,546,
147,975,449,154,369,354,084,489,594,249,475,649,743,619,328,194,590,882,133,
113,909,239,835,969,400,554,848,381,454,233,971,298,414,451,485,977,316,615,
653,059,839,022,137,252,452,400,177,328,754,490,553,748,835,625,569,295,117,
773,175,802,450,162,565,746,543,704,486,158,641,081,342,943,670,316,953,548,
685,256,252,650,055,418,994,855,147,581,660,437,264,336,917,215,007,898,318,
291,284,032,618,577,087,435,032,649,074,247,261,484,480,331,518,000,939,246,
536,520,386,372,064,132,055,573,645,626,321,236,895,655,322,011,286,779,659,
658,656,480,761,393,542,077,388,145,868,485,432,783,177,758,130,004,376,161,
161,158,649,930,468,365,322,689,718,651,666,826,041,251,246,503,485,584,929,
041,561,192,840,192,082,343,005,435,950,684,780,575,725,704,132,174,503,017,
444,518,765,528,644,188,162,628,368,809,031,711,258,937,014,975,390,025,651,
652,251,018,172,821,028,435,914,235,754,839,182,539,187,015,914,271,160,664,
666,978,937,107,065,799,953,175,334,430,630,118,912,061,335,826,547,602,843,
827,271,783,620,951,889,543,133,429,220,036,510,984,580,022,005,584,645,777,
853,397,985,035,698,340,679,337,098,766,104,163,526,413,197,539,953,572,008,
157,397,438,740,043,658,758,090,735,697,614,370,796,318,707,671,102,782,703,
766,355,963,352,186,097,626,751,740,024,165,444,807,247,526,646,848,287,664,
259,586,658,491,024,279,801,677,631,760,323,230,433,935,165,153,464,280,215,
914,539,278,016,745,673,129,989,204,650,187,200,466,002,367,405,480,326,937,
262,982,476,468,277,614,634,364,732,413,684,328,743,199,138,321,003,732,784,
022,276,220,132,827,491,523,019,655,119,211,872,833,167,452,109,551,782,870,
656,383,758,307,839,877,766,336,691,519,421,355,943,340,804,946,919,335,464,
511,236,392,398,877,230,421,800,000,544,981,368,804,517,129,087,258,015,342,
442,532,047,232,887,145,149,303,502,751,664,935,406,118,360,838,941,273,007,
621,022,628,119,325,755,076,609,564,343,046,650,317,233,712,847,452,340,831,
826,655,165,902,282,516,737,510,025,061,287,909,055,314,294,989,114,873,575,
956,088,429,453,086,965,682,973,770,679,699,072,130,572,980,109,192,638,778,
987,773,520,261,259,184,842,025,242,720,335,981,640,683,701,305,958,707,967,
031,382,161,277,176,772,036,987,205,792,300,186,139,086,352,274,203,250,965,
404,898,382,343,529,824,291,612,043,836,253,404,289,702,669,063,310,305,690,
369,708,119,809,598,942,519,316,488,432,330,841,042,463,740,099,926,838,551,
638,193,118,097,121,748,786,340,728,042,865,298,620,015,126,526,891,419,047,
888,862,886,042,063,876,735,939,477,768,763,693,713,727,122,839,762,808,511,
284,342,847,347,339,437,072,600,436,725,283,694,050,583,377,262,339,636,243,
742,539,979,840,328,283,149,292,726,439,256,236,986,965,120,817,985,249,068,
924,525,379,577,578,761,783,341,978,353,200,873,673,456,356,842,167,221,015,
828,711,094,231,594,443,092,044,967,846,310,673,575,427,483,917,869,478,028,
560,762,757,234,936,733,558,574,799,980,020,519,590,494,085,548,950,108,643,
316,675,309,609,079,902,432,394,547,293,531,462,024,003,523,970,286,433,760,
070,242,206,394,493,874,469,859,386,362,586,890,395,299,441,555,346,206,858,
281,981,401,288,075,388,594,368,271,071,379,833,872,506,315,820,808,109,936,
303,734,768,684,965,417,627,425,850,851,807,124,224,775,105,395,401,336,061,
300,784,952,679,090,365,545,251,689,874,707,847,583,853,206,885,117,561,629,
632,950,111,494,539,815,947,887,647,672,888,753,867,602,867,829,642,865,053,
704,381,328,172,097,839,859,428,617,805,091,283,878,653,559,247,909,573,308,
510,491,622,013,194,789,305,480,355,071,180,464,403,433,353,208,700,996,089,
430,601,255,754,967,656,487,101,021,100,649,979,201,126,632,444,657,734,226,
352,813,085,963,405,367,475,254,351,222,641,236,971,730,931,751,945,032,374,
079,184,011,925,689,031,680,409,815,959,917,598,985,720,357,089,128,362,261,
643,966,052,818,760,117,166,255,013,034,166,888,481,549,933,908,947,509,195,
470,540,833,500,022,158,825,003,081,870,456,602,648,333,794,250,521,469,362,
007,789,872,406,120,837,663,195,630,089,146,162,478,203,931,681,907,179,511,
864,568,913,733,658,223,818,685,015,112,001,549,491,807,909,365,616,995,918,
946,952,867,632,405,239,575,185,028,163,396,634,946,292,144,117,335,774,153,
808,748,755,193,483,423,371,133,477,457,052,057,191,008,649,607,438,872,759,
305,367,193,857,284,113,361,250,270,439,773,053,449,682,450,847,257,786,301,
130,976,311,726,385,031,883,968,566,928,300,299,450,367,489,466,613,135,580,
373,822,021,762,584,792,238,723,736,333,097,417,808,495,302,300,730,627,807,
482,754,664,208,528,661,671,216,324,585,702,779,892,741,104,546,594,623,966,
851,973,760,145,091,860,473,051,606,752,754,074,919,404,769,127,578,735,620,
448,640,060,718,466,766,107,235,544,895,778,652,277,880,211,520,467,791,875,
772,640,368,680,123,405,817,568,610,534,289,779,121,361,409,719,996,754,892,
293,841,206,291,948,565,203,431,980,045,388,565,420,247,238,669,094,620,215,
685,762,372,926,332,543,289,627,521,430,769,796,866,396,249,031,229,766,504,
520,028,743,534,916,822,904,121,950,636,308,982,040,029,003,192,238,372,580,
523,058,659,461,571,631,415,942,842,491,497,416,162,328,381,659,639,566,130,
106,372,343,819,585,537,698,258,079,874,230,427,584,054,075,895,459,435,402,
055,218,941,915,206,491,050,826,604,317,250,027,270,258,706,513,347,254,312,
397,637,663,276,617,371,714,013,732,184,082,550,370,717,557,750,148,894,171,
399,353,755,023,303,274,431,045,302,978,597,461,768,468,220,329,502,683,798,
538,679,216,842,938,327,778,380,083,880,767,599,600,768,986,626,290,877,594,
065,236,829,823,455,560,936,649,506,235,141,158,251,009,962,971,226,882,199,
080,749,526,890,758,286,500,259,540,888,402,914,496,316,699,034,311,630,034,
469,955,317,108,295,127,848,535,616,550,774,188,560,622,659,749,228,482,711,
506,678,763,733,048,744,907,348,662,764,121,903,974,250,011,737,893,406,788,
504,107,119,544,475,268,121,654,955,590,207,175,198,712,515,182,973,264,466,
902,971,939,622,479,182,922,740,466,505,186,391,723,070,242,228,942,331,554,
148,096,225,461,960,962,149,099,880,508,597,958,579,910,090,953,403,320,992,
668,639,386,328,696,934,584,264,619,262,480,808,519,545,253,116,025,400,992,
186,104,807,385,377,543,358,463,174,377,126,782,449,012,684,526,233,993,953,
676,805,864,826,860,335,898,256,136,020,839,057,727,258,144,389,801,422,844,
878,401,414,703,139,803,180,396,888,541,238,817,562,370,819,687,035,091,565,
506,085,498,672,563,157,879,366,245,931,888,011,341,683,685,519,142,662,846,
606,201,528,118,696,765,876,194,888,770,157,916,519,253,881,945,363,212,953,
457,324,700,194,384,008,566,906,303,840,324,253,637,099,427,624,763,871,622,
702,150,508,607,953,562,868,982,071,600,370,686,101,910,172,216,129,534,171,
140,458,787,954,812,939,167,049,859,228,667,012,056,628,529,545,197,086,386,
349,791,286,997,842,103,969,211,209,388,044,390,702,023,361,760,510,494,252,
376,494,130,627,203,368,023,549,694,357,657,372,268,673,635,879,271,538,594,
933,789,800,163,414,419,120,410,417,133,691,429,158,014,446,426,168,274,300,
046,291,788,115,102,950,417,688,210,072,898,683,204,644,799,590,289,889,650,
894,733,874,413,798,164,947,646,064,737,552,844,724,231,353,094,005,770,578,
482,787,524,736,850,410,347,257,730,583,999,934,904,636,970,274,625,356,187,
505,463,547,720,359,234,705,319,920,078,954,301,561,905,476,076,839,749,212,
359,824,956,400,055,065,685,713,828,111,045,504,474,232,728,871,911,002,798,
879,033,988,067,476,527,715,203,046,065,207,895,998,780,984,957,620,404,766,
766,289,801,487,694,312,151,686,380,720,674,445,934,720,218,904,185,723,227,
615,509,220,048,947,167,631,251,758,177,123,104,043,538,504,564,826,174,613,
364,782,758,151,790,162,250,287,937,183,744,432,191,917,263,994,973,455,230,
403,340,391,174,282,177,351,565,757,493,050,815,589,934,410,196,525,711,225,
068,114,406,975,776,638,613,914,902,231,280,929,518,345,453,953,483,040,325,
172,774,143,304,620,352,493,567,414,499,336,839,629,598,952,195,027,254,074,
545,946,616,468,690,566,620,002,019,743,923,818,590,427,456,911,036,904,788,
354,923,692,746,328,460,918,446,336,438,164,320,121,525,228,998,393,083,439,
468,663,998,274,603,062,849,449,928,867,656,496,614,539,259,970,380,398,968,
745,382,131,055,980,383,178,178,772,094,501,358,161,418,308,118,947,950,560,
982,412,670,948,665,144,565,534,413,515,335,299,309,451,233,878,547,786,882,
309,887,982,104,083,913,399,007,127,317,992,592,877,662,579,966,576,121,287,
128,727,249,551,450,872,401,592,773,890,175,992,873,181,485,824,486,136,719,
983,411,632,241,704,991,467,238,820,383,600,183,849,615,886,127,944,482,536,
727,752,380,540,908,830,283,470,824,447,052,127,169,595,437,926,093,619,644,
860,197,273,162,293,464,519,512,326,340,281,094,266,681,148,683,089,216,622,
296,300,559,082,759,632,108,969,198,111,276,422,935,163,807,622,983,884,362,
051,908,935,309,968,439,399,164,222,512,159,765,386,562,561,895,602,516,049,
304,294,309,886,373,038,660,915,095,075,286,797,159,129,561,090,657,589,855,
317,555,729,051,460,441,357,746,485,617,998,847,197,288,530,045,291,936,050,
774,734,649,625,346,142,302,381,481,304,626,419,838,030,294,469,467,759,070,
716,001,776,989,353,464,391,789,132,803,016,084,135,190,894,401,762,556,176,
574,268,386,173,266,873,935,522,039,694,631,690,999,723,993,232,848,594,472,
157,819,967,771,894,771,702,291,785,685,364,197,716,880,981,010,940,522,566,
967,054,237,812,052,834,458,755,204,456,404,211,952,895,938,697,339,415,921,
019,047,129,679,563,466,652,963,641,042,364,903,189,734,002,251,416,948,931,
960,950,823,318,318,509,085,690,109,190,677,340,472,498,913,860,520,663,601,
571,853,457,156,501,417,249,650,925,421,074,526,630,540,505,632,933,877,552,
986,593,165,014,063,712,662,201,477,733,528,302,069,875,059,260,294,318,964,
569,076,796,484,122,882,920,309,115,017,198,708,136,677,567,512,762,411,593,
900,173,456,143,572,462,085,658,640,524,507,866,866,978,163,537,667,998,370,
415,745,579,199,692,496,004,294,373,097,028,775,896,843,244,234,910,836,127,
748,418,043,317,086,507,056,454,128,944,840,521,825,581,878,207,529,494,208,
360,490,437,110,851,496,789,958,139,627,538,434,136,888,556,347,911,152,584,
451,867,930,558,966,099,361,669,204,824,420,336,564,768,070,800,412,539,230,
891,328,644,556,766,882,308,633,494,132,406,748,752,562,394,931,279,308,751,
999,085,611,680,028,021,239,546,486,196,055,151,301,156,948,631,853,522,747,
809,412,508,565,029,023,909,464,044,489,884,294,403,622,215,405,963,085,380,
408,875,279,546,850,126,967,933,788,923,492,726,143,471,109,803,111,542,323,
521,718,950,668,217,210,703,672,046,577,679,709,038,779,525,465,954,571,161,
394,303,770,722,015,214,168,131,307,831,032,330,414,981,625,782,940,743,359,
386,547,063,994,308,291,083,910,719,525,787,505,294,162,422,360,459,546,414,
754,616,847,526,393,083,909,757,843,894,135,880,944,326,379,655,127,961,884,
914,918,460,211,618,125,149,706,284,661,329,765,281,864,839,493,932,112,247,
112,390,513,086,401,182,783,115,807,073,711,884,920,828,162,734,199,620,619,
123,199,942,561,397,945,942,838,258,754,405,855,382,471,396,572,107,790,234,
496,548,880,792,319,301,754,238,080,395,814,182,935,083,577,203,084,543,659,
955,127,896,024,240,602,531,070,162,393,188,391,734,155,828,540,341,210,069,
349,560,534,659,474,500,556,324,076,664,317,325,347,323,090,662,621,992,737,
249,603,459,266,037,337,229,512,097,153,355,887,060,224,518,939,741,354,766,
843,472,267,397,243,645,239,167,672,292,236,290,997,559,413,146,567,707,862,
360,631,260,312,369,536,513,305,320,021,577,652,314,270,888,119,982,762,094,
887,364,685,972,007,929,967,321,577,404,664,087,034,166,192,378,346,406,813,
784,254,426,951,461,087,958,667,962,348,182,302,084,341,945,215,309,240,634,
632,698,583,580,262,361,787,033,680,209,086,324,173,299,559,346,177,741,061,
014,125,608,689,338,700,988,983,204,661,435,026,729,701,533,450,245,980,417,
337,708,375,992,212,876,978,803,310,760,470,364,323,437,188,236,700,703,102,
596,801,197,061,260,828,866,414,464,330,167,722,984,072,735,588,887,042,762,
597,169,333,568,489,663,688,959,132,144,822,798,123,724,868,415,219,269,605,
104,348,438,882,186,664,255,296,206,457,416,311,313,794,411,418,799,584,656,
435,017,972,461,012,586,229,375,461,523,796,044,625,239,302,334,060,796,644,
612,308,605,973,787,544,119,974,984,339,841,862,527,208,654,788,349,731,093,
924,003,806,702,673,232,679,673,467,702,370,253,572,619,748,227,425,072,931,
858,773,749,813,869,652,892,354,335,205,350,092,526,596,327,638,970,742,358,
175,118,515,540,088,817,860,858,400,937,467,566,610,819,786,342,535,813,455,
767,273,630,933,686,255,718,308,481,043,010,600,074,029,233,681,070,745,102,
529,838,835,783,628,770,127,682,897,394,147,061,331,225,716,251,587,453,405,
881,825,814,632,477,369,680,321,202,674,863,385,519,090,568,187,640,726,405,
299,299,820,354,188,110,574,782,224,016,890,734,948,653,907,190,975,724,621,
918,353,083,482,255,308,027,309,795,810,214,891,156,050,126,171,547,086,486,
265,662,653,842,111,075,199,955,525,991,723,513,491,182,348,927,000,279,721,
006,713,863,490,582,998,826,388,225,115,505,475,037,256,824,308,328,099,362,
172,995,482,729,077,468,945,342,576,503,477,035,189,768,152,906,878,502,379,
463,057,254,924,415,433,749,561,247,186,484,086,019,159,425,922,886,116,327,
427,214,271,948,980,615,811,498,987,224,600,702,139,396,705,071,282,759,469,
173,388,775,339,062,182,462,502,809,408,463,855,129,976,953,113,708,757,554,
280,880,189,610,327,888,379,924,993,287,160,954,074,342,948,695,256,609,816,
889,106,262,664,536,186,496,630,010,740,183,858,115,953,953,120,920,151,601,
596,888,884,698,951,823,944,186,820,223,172,235,181,344,226,037,934,828,954,
452,192,576,735,678,270,849,585,586,148,953,179,665,179,665,294,172,887,362,
466,619,576,235,923,799,261,219,199,295,643,447,511,578,903,183,917,863,194,
246,934,312,275,565,313,194,570,580,535,015,597,544,144,051,341,386,792,257,
218,812,808,733,555,460,987,120,282,998,377,756,167,935,304,500,065,987,881,
525,456,165,553,055,554,240,527,712,877,169,841,918,436,111,907,850,278,706,
761,061,703,381,707,308,812,417,294,983,609,695,565,109,547,294,855,072,066,
412,820,778,450,450,174,671,982,434,084,970,309,800,176,624,808,826,527,213,
799,524,918,079,221,831,217,205,366,298,908,629,372,880,836,089,926,341,649,
786,108,480,398,773,483,306,877,649,157,155,350,822,438,934,880,178,103,480,
299,613,592,789,708,507,243,158,167,772,749,503,834,556,452,444,854,297,774,
339,344,692,636,367,727,612,458,932,407,048,760,513,375,178,602,469,194,633,
648,120,106,471,618,842,976,510,530,772,786,332,353,623,779,808,270,861,735,
663,381,278,953,716,338,206,848,830,569,155,006,713,474,619,055,092,319,339,
319,308,644,252,332,656,003,183,306,361,106,055,711,475,618,811,390,410,988,
774,251,546,673,517,797,729,000,842,791,742,212,699,394,485,547,311,146,866,
650,068,224,003,049,729,108,048,843,111,450,862,548,838,972,392,967,012,289,
306,220,602,580,443,814,788,775,211,868,785,738,405,885,179,535,329,933,801,
995,054,116,845,189,191,374,069,704,774,764,919,910,504,990,002,072,825,425,
258,538,704,883,096,813,239,923,551,788,220,761,207,387,703,901,410,151,003,
233,571,793,207,717,976,646,383,725,984,455,462,331,006,855,619,329,958,867,
948,241,966,641,842,029,815,675,389,797,767,153,785,786,918,918,759,982,886,
982,053,630,074,070,434,387,588,392,726,267,426,096,711,681,831,629,130,410,
543,852,342,411,251,512,284,812,625,904,539,914,067,127,865,483,350,183,917,
455,680,794,704,794,266,131,986,036,675,679,633,937,264,362,633,199,298,093,
533,810,166,111,390,686,022,355,335,149,360,354,057,568,435,394,045,526,927,
606,050,914,516,113,475,669,372,282,140,769,882,495,849,985,328,382,856,820,
568,814,783,092,134,654,961,467,819,885,158,773,857,070,318,410,246,372,312,
930,467,127,324,945,682,348,416,842,224,681,752,735,459,029,067,914,912,061,
020,605,581,573,076,615,541,763,479,045,734,012,971,897,582,261,823,526,039,
620,407,189,761,107,630,220,559,608,564,319,995,248,483,707,174,846,360,945,
262,280,126,770,152,381,927,724,159,725,417,231,867,694,402,924,934,981,213,
906,300,140,757,601,336,766,375,233,731,638,841,774,157,863,080,147,870,351,
259,254,049,157,121,633,223,273,482,985,532,177,207,857,268,762,711,024,805,
574,412,659,633,543,788,855,867,867,643,642,458,514,414,307,857,702,143,343,
822,736,317,777,436,807,676,580,349,620,178,548,083,944,775,006,940,108,150,
035,992,109,728,369,961,742,935,689,985,599,847,936,757,754,772,495,275,604,
600,182,904,613,349,471,815,802,817,531,479,692,330,943,832,907,053,089,850,
042,080,137,481,096,670,833,480,796,316,671,380,368,749,267,454,272,556,256,
225,716,082,729,206,060,037,495,251,688,727,399,885,050,900,759,458,989,362,
229,640,543,260,018,315,942,537,243,619,408,052,813,141,358,334,155,089,644,
850,454,777,370,330,489,089,260,292,605,873,886,173,589,669,065,496,332,925,
633,447,695,759,542,190,894,965,913,027,104,595,960,141,458,500,333,453,054,
529,605,646,126,261,035,466,268,326,977,916,287,596,803,043,941,623,593,121,
398,241,190,893,785,161,761,666,900,538,189,487,025,810,665,370,870,014,803,
091,082,076,223,576,433,540,781,635,892,887,136,276,573,588,349,102,826,969,
805,302,820,468,605,721,447,771,076,895,556,937,688,718,122,946,717,207,845,
455,488,610,674,194,950,370,731,857,552,431,072,576,897,260,268,205,166,245,
490,369,362,490,738,885,770,703,318,103,252,211,027,378,216,729,019,914,313,
515,010,777,763,442,264,428,977,665,654,137,797,784,598,572,043,476,931,843,
330,743,753,423,979,856,324,180,112,049,240,065,319,749,329,040,325,894,669,
762,410,164,158,371,928,781,976,190,004,083,633,713,838,093,928,224,101,778,
036,666,524,241,193,165,361,813,494,334,135,442,522,330,234,748,724,054,307,
891,529,797,451,146,762,811,938,138,622,496,822,934,147,039,391,883,514,371,
700,313,272,072,434,869,192,830,561,632,019,110,039,306,097,050,749,099,870,
911,734,423,958,777,359,476,382,729,758,493,422,502,513,581,005,687,651,427,
892,232,022,989,995,798,827,620,981,875,976,383,608,497,902,381,545,469,305,
756,130,699,257,807,949,210,070,294,322,494,222,775,725,191,837,335,214,942,
646,591,534,962,278,837,380,940,571,574,692,748,431,481,904,276,573,562,907,
254,834,941,131,755,785,545,174,557,839,920,099,642,386,526,457,274,103,448,
398,482,354,433,797,783,684,050,866,644,206,090,641,941,942,573,816,058,405,
095,534,268,796,570,019,745,642,009,303,701,789,947,385,271,027,985,620,124,
284,961,236,525,504,893,906,416,553,538,514,869,119,514,853,590,310,381,138,
675,309,608,790,072,085,582,007,297,413,332,833,320,201,759,324,000,686,231,
191,885,844,296,623,125,308,747,170,247,367,093,792,427,474,424,040,452,243,
483,275,474,124,395,998,226,573,371,008,363,452,041,602,919,465,106,693,425,
679,925,728,799,020,004,875,172,346,689,763,369,275,472,550,846,599,895,184,
439,541,246,156,403,762,926,865,517,911,826,220,857,708,949,474,130,504,056,
154,077,734,220,973,233,506,629,231,009,841,184,426,044,356,202,750,670,433,
843,932,136,907,200,609,860,188,465,159,416,765,349,078,118,449,622,338,500,
900,357,314,498,253,218,799,118,282,042,384,394,804,252,109,867,893,141,089,
743,068,948,570,076,299,467,118,357,199,820,361,108,563,720,053,986,270,609,
288,410,868,594,416,014,189,885,505,778,004,309,417,303,595,610,602,960,950,
523,492,345,727,310,513,069,744,475,542,294,024,394,999,452,565,759,010,819,
595,292,656,880,628,331,572,293,978,562,830,701,763,855,993,087,896,952,143,
967,306,241,872,397,573,819,128,158,132,327,978,808,575,446,361,593,161,983,
305,865,343,202,202,814,218,831,684,016,314,655,926,838,236,070,705,719,770,
135,063,873,438,725,239,737,381,244,595,092,374,611,374,610,184,849,757,340,
121,458,378,934,759,180,345,949,854,676,923,171,195,500,590,899,600,799,923,
142,913,739,617,476,764,419,233,123,812,879,072,689,515,251,669,429,977,759,
486,933,845,431,865,262,606,375,058,153,044,053,643,798,027,801,014,105,290,
413,418,642,687,359,249,731,568,096,906,479,942,981,931,396,382,750,665,748,
598,479,350,445,487,248,066,266,429,074,797,843,914,869,809,598,435,496,881,
120,198,340,950,590,688,795,529,050,864,095,294,133,113,680,304,495,087,110,
280,507,561,611,333,318,183,170,267,907,892,044,639,304,206,091,076,973,760,
567,267,309,259,158,906,619,340,597,286,230,351,009,871,846,011,883,298,390,
827,726,544,396,165,441,985,239,405,380,473,290,040,917,517,394,226,508,151,
108,063,542,527,209,333,435,458,521,547,285,247,730,661,872,424,550,723,232,
482,371,349,873,367,190,350,211,647,481,610,352,684,805,794,321,654,695,984,
929,664,850,232,967,460,974,921,084,563,410,767,737,697,436,048,540,266,332,
561,846,819,350,567,578,266,573,369,794,254,147,166,364,805,043,098,941,279,
028,861,495,568,736,310,250,760,513,417,480,234,703,684,665,754,375,690,011,
318,866,673,062,467,177,796,216,289,059,833,716,373,854,063,114,029,381,852,
858,170,793,004,142,990,984,815,041,207,119,881,905,921,577,685,428,854,448,
109,993,873,167,005,508,470,020,056,628,848,747,059,031,100,787,524,301,507,
680,208,590,010,455,977,537,146,877,223,147,569,516,951,759,688,267,381,210,
358,636,727,940,474,046,127,334,826,856,702,577,722,813,545,698,547,556,287,
299,521,930,236,251,325,334,118,693,333,222,932,077,227,503,658,900,405,726,
468,008,507,845,737,032,269,856,397,887,480,824,636,596,856,399,440,681,244,
987,022,973,587,306,198,319,251,722,812,573,819,002,096,599,849,756,003,386,
583,876,372,092,908,545,117,254,878,541,158,195,788,507,606,001,474,543,936,
706,213,881,356,573,158,107,384,784,054,011,672,263,331,432,295,812,039,538,
254,997,960,360,616,909,783,467,780,465,910,369,412,225,311,298,421,997,673,
244,379,005,514,579,426,370,538,467,287,548,691,695,542,592,623,568,935,587,
476,328,231,487,023,223,513,800,075,709,754,131,880,104,665,439,036,610,563,
939,740,461,395,823,859,998,710,556,833,541,625,211,408,079,669,548,465,234,
346,663,204,947,497,632,210,936,154,628,139,073,560,877,376,044,519,582,046,
615,171,701,077,637,258,189,075,296,000,980,636,889,408,572,680,614,354,918,
427,489,477,715,829,955,837,462,574,122,607,236,185,882,425,406,994,216,138,
476,778,059,528,373,704,027,785,578,814,243,597,830,545,420,632,157,987,091,
040,741,411,134,799,986,126,473,807,353,199,387,362,329,375,215,376,794,279,
205,195,815,414,588,502,165,669,568,174,074,425,044,201,898,316,417,382,807,
195,770,701,347,222,905,732,642,004,207,681,227,506,690,753,380,495,789,168,
098,918,662,589,905,363,268,957,726,187,752,040,744,426,576,814,436,011,469,
171,001,998,795,668,428,961,488,194,707,349,123,251,552,019,752,450,358,470,
590,986,375,638,055,020,531,641,350,398,504,938,769,700,576,813,330,676,726,
060,962,201,719,964,195,542,855,295,449,836,054,865,157,287,780,992,022,131,
395,557,523,711,702,272,288,300,565,508,781,859,900,875,023,076,784,631,211,
992,306,800,471,308,591,905,848,416,001,060,492,319,355,344,069,500,151,147,
370,471,274,684,865,631,132,801,666,661,151,434,830,448,979,289,166,039,164,
954,707,468,105,796,919,876,232,967,601,320,918,395,377,364,997,313,693,676,
880,782,864,105,165,637,253,814,536,326,130,863,329,735,067,531,919,496,279,
342,306,143,887,157,551,852,945,013,469,541,216,742,860,098,457,043,345,380,
001,965,657,695,307,790,212,695,105,801,448,264,387,832,732,867,672,545,810,
308,373,956,160,826,383,583,052,062,887,908,579,690,184,139,801,735,564,215,
284,556,064,940,911,820,561,058,346,783,921,232,465,726,750,326,807,829,924,
349,973,897,931,085,576,927,739,681,258,386,835,445,270,908,166,151,899,710,
799,306,100,078,681,892,795,219,848,999,592,504,497,306,554,282,654,926,901,
407,193,766,024,682,664,463,074,408,807,160,059,276,784,744,118,658,108,523,
793,375,496,020,669,562,433,802,468,568,943,816,324,032,930,151,440,906,780,
034,462,168,850,768,477,597,180,626,024,168,697,850,089,670,202,796,599,659,
284,817,530,906,320,311,310,356,668,869,571,298,470,730,615,642,931,334,361,
657,829,571,631,950,441,254,419,429,647,524,906,288,176,288,195,920,322,451,
322,658,246,234,030,339,164,423,980,257,378,146,199,166,603,793,303,488,408,
826,194,153,097,335,209,321,935,083,952,037,412,193,193,237,892,457,529,938,
431,613,108,988,629,394,580,061,610,514,583,579,657,566,327,588,401,522,127,
269,008,289,423,878,131,400,675,968,228,465,138,840,030,615,986,947,654,893,
630,600,766,605,427,577,947,968,600,931,884,711,473,235,313,999,411,738,240,
516,231,676,202,089,173,895,752,113,862,706,643,113,465,595,640,001,814,956,
940,775,316,567,254,797,433,081,976,072,742,379,128,067,737,001,655,930,042,
243,908,595,873,674,147,608,840,817,126,280,325,524,360,144,589,336,927,323,
513,864,688,777,926,037,287,085,771,677,824,595,377,100,516,830,115,286,851,
092,853,351,852,645,250,954,096,992,226,710,574,315,728,686,076,765,364,025,
126,895,741,948,688,738,621,876,180,895,526,034,784,746,313,512,604,277,176,
530,966,645,308,492,440,006,112,679,271,447,958,452,696,525,660,197,267,561,
667,027,112,969,290,862,031,851,943,914,947,594,285,391,880,169,529,603,711,
971,668,740,438,122,736,078,163,720,398,617,875,405,288,998,279,440,967,278,
777,345,081,200,006,424,576,679,046,410,869,594,128,999,660,618,001,902,430,
952,713,485,506,889,525,795,519,181,410,037,712,302,291,401,876,371,720,507,
626,476,590,523,937,342,187,070,279,842,276,100,181,824,645,125,145,473,785,
629,280,804,013,044,456,458,368,814,587,799,456,123,151,235,025,256,433,725,
797,558,830,660,881,010,799,645,950,338,344,670,941,553,175,259,462,702,666,
404,536,219,065,601,424,926,109,994,371,137,258,050,013,881,879,358,558,947,
706,307,416,626,262,502,272,511,739,845,386,136,669,539,586,972,506,712,126,
937,799,241,052,691,997,748,318,219,142,141,972,371,349,623,769,137,125,121,
615,987,397,963,936,560,303,030,017,434,380,356,350,607,614,087,279,902,190,
456,215,267,456,413,738,462,284,143,994,279,575,669,158,878,435,428,002,120,
114,128,709,265,129,301,589,018,392,716,126,908,763,454,626,255,799,862,103,
965,465,449,720,553,679,529,150,183,019,544,576,825,155,876,196,030,777,444,
480,747,305,506,123,601,899,769,737,799,619,536,756,528,414,715,618,489,790,
327,705,772,897,313,606,453,251,415,179,029,085,637,276,474,653,657,525,010,
530,732,074,068,250,944,417,083,514,117,265,821,859,191,634,039,514,687,407,
388,661,304,237,721,546,592,826,360,569,511,182,104,877,255,213,749,642,699,
834,189,519,516,194,359,660,030,287,853,877,038,325,884,347,267,582,969,652,
323,183,518,163,733,146,781,990,786,362,538,503,892,765,199,926,327,857,946,
550,911,253,997,132,803,776,108,330,913,525,851,930,242,334,460,526,665,360,
353,804,098,835,335,829,865,407,729,844,917,701,932,482,552,670,176,515,455,
477,194,966,665,626,411,370,073,626,855,722,711,716,560,210,174,689,403,400,
976,295,283,327,142,305,811,061,568,959,886,130,771,867,271,360,126,230,268,
068,361,179,396,166,728,673,250,115,155,969,408,211,468,643,852,982,923,336,
154,402,383,580,200,702,838,327,260,621,481,881,553,758,218,470,129,267,132,
939,328,916,282,217,166,087,549,643,043,450,410,329,648,345,645,328,170,113,
733,890,447,442,468,660,223,424,090,973,253,984,450,577,818,999,141,164,200,
722,875,898,579,441,088,818,494,200,308,980,279,593,232,526,378,182,805,769,
239,612,284,693,049,611,854,119,670,670,314,726,206,293,110,756,635,794,295,
802,650,378,953,891,182,712,586,748,835,172,941,604,894,717,010,942,280,671,
158,361,413,533,182,236,129,503,712,567,440,636,041,216,535,399,691,158,879,
143,228,961,328,487,524,506,634,953,164,204,200,520,250,949,723,397,459,930,
658,638,771,980,731,133,488,652,451,397,236,501,015,253,888,467,284,021,410,
587,520,558,314,143,778,826,448,993,271,118,266,928,596,808,300,175,089,311,
918,632,147,041,072,940,178,074,303,899,540,832,593,013,221,471,577,805,571,
726,306,818,015,942,564,963,557,747,761,527,728,729,183,884,687,306,718,287,
004,272,974,630,953,757,387,670,694,377,388,692,314,974,246,841,355,569,711,
825,050,034,989,875,929,880,427,124,123,383,278,049,848,390,563,483,911,246,
608,475,940,629,171,597,037,301,805,101,234,754,698,055,569,654,083,867,379,
800,846,421,152,615,505,008,989,702,073,551,181,921,261,386,853,946,191,805,
828,377,451,049,867,888,148,591,306,568,297,728,217,561,183,564,042,780,419,
815,752,104,928,923,175,397,093,090,884,970,806,650,157,718,755,187,194,734,
477,200,076,915,855,327,908,745,633,986,117,021,132,185,335,703,361,971,704,
869,979,304,413,744,884,275,841,675,484,570,760,828,078,949,976,345,322,999,
635,917,685,662,068,424,061,689,479,523,565,824,148,754,231,966,696,016,946,
556,729,688,014,628,094,108,645,866,784,004,327,554,663,387,433,822,282,326,
473,910,767,642,882,619,043,932,189,124,538,153,185,240,624,041,415,091,054,
879,396,260,936,096,559,214,458,429,677,448,139,606,349,292,196,995,414,556,
996,143,909,625,742,026,371,775,396,096,472,018,129,368,287,745,860,086,734,
387,605,681,640,868,204,543,219,023,813,863,320,993,743,449,219,554,773,576,
438,026,429,527,471,869,915,605,319,091,349,480,728,521,250,925,453,875,967,
071,990,011,842,632,662,207,258,863,277,971,323,892,407,210,268,658,962,782,
469,715,252,503,328,336,865,705,036,927,486,989,499,779,313,561,908,010,880,
736,091,159,740,727,768,427,259,115,398,859,149,161,866,114,664,027,222,243,
851,736,340,775,415,184,506,325,012,760,370,286,764,005,388,032,833,049,616,
221,613,648,716,781,335,948,413,185,862,983,160,700,824,441,214,567,543,107,
127,717,103,472,058,785,640,613,248,829,199,028,502,840,697,634,833,925,609,
410,575,015,748,054,103,313,909,982,306,458,120,817,875,575,248,419,452,337,
269,406,825,344,125,469,523,768,335,693,303,319,514,042,547,411,537,416,041,
401,950,518,449,886,656,146,796,170,730,477,738,230,462,799,608,270,138,413,
770,907,344,800,734,846,332,748,344,943,473,447,893,046,454,046,520,344,590,
567,075,048,206,588,781,078,148,166,997,800,389,407,168,845,488,846,102,881,
823,037,413,095,132,420,409,031,570,913,088,049,793,646,681,698,084,383,438,
564,657,500,024,775,059,872,986,451,689,107,742,193,604,168,561,968,340,490,
529,359,395,731,049,889,292,316,207,077,592,055,750,827,281,142,285,765,343,
244,308,034,077,400,418,665,364,347,878,212,404,924,836,586,230,980,224,128,
308,497,511,138,718,606,059,845,347,925,365,343,780,788,172,676,712,465,489,
939,597,161,786,912,901,729,059,937,735,739,693,728,183,073,193,270,639,379,
669,977,702,491,394,390,387,474,911,909,371,372,031,384,944,817,457,687,737,
312,257,586,153,905,042,563,032,141,079,361,573,141,247,671,008,267,530,017,
433,651,354,762,271,414,395,211,674,315,941,938,029,409,569,943,283,442,800,
924,348,320,910,481,404,726,757,727,328,498,697,809,812,374,743,169,458,747,
656,465,639,735,586,516,060,907,464,131,760,104,137,332,459,633,633,845,313,
739,284,930,960,977,916,446,920,645,526,139,095,527,576,876,998,093,962,884,
931,585,061,728,853,288,410,394,266,184,586,357,617,048,553,703,611,614,074,
872,078,110,318,102,980,150,942,523,606,712,182,336,860,844,255,932,116,774,
706,114,767,405,631,090,596,927,677,023,000,370,885,681,208,052,367,708,405,
785,792,657,549,374,495,410,736,506,176,312,177,746,417,214,466,751,830,699,
107,957,523,674,618,229,498,489,143,111,786,159,213,538,998,605,841,354,998,
432,611,386,566,969,677,407,759,941,876,252,106,890,809,732,021,851,490,795,
302,114,346,114,809,292,082,618,075,225,985,931,182,311,929,841,047,198,300,
022,770,417,333,134,214,712,927,457,044,404,563,438,661,046,860,989,490,009,
700,881,241,489,705,612,048,320,416,881,207,150,093,407,019,430,709,578,545,
543,391,108,299,586,515,896,165,781,504,336,020,202,665,990,614,094,268,494,
675,134,343,334,643,820,134,185,672,629,737,064,884,542,334,784,140,147,099,
610,230,526,717,455,679,139,902,325,960,534,158,638,206,398,323,979,722,545,
842,790,737,091,031,003,489,978,263,594,174,395,667,871,995,938,220,660,799,
364,499,513,929,416,010,001,646,722,372,606,938,261,216,013,568,537,056,079,
267,489,963,311,807,360,385,358,067,599,256,834,696,848,992,640,416,818,866,
615,878,695,606,368,830,803,719,212,564,941,163,311,331,881,014,479,245,590,
688,293,438,642,307,060,762,898,330,111,444,906,116,715,077,505,136,168,496,
668,488,169,610,122,014,494,822,190,434,036,449,684,389,821,357,530,674,397,
890,543,013,542,346,125,460,473,231,366,215,468,957,903,942,699,597,292,335,
859,876,519,815,640,407,462,488,244,135,177,647,497,693,973,816,707,959,833,
408,598,666,762,346,208,200,250,532,054,037,417,950,965,584,402,602,910,418,
675,834,559,711,796,837,462,302,201,150,338,234,102,252,439,505,879,008,573,
146,443,975,119,438,281,311,594,639,146,914,434,296,847,867,756,718,550,044,
356,711,854,793,766,851,873,050,598,131,547,828,331,741,095,644,565,794,909,
346,580,780,063,073,203,480,687,190,626,562,932,364,863,077,307,290,650,160,
871,777,429,776,849,983,683,139,953,760,702,501,912,187,620,744,490,491,780,
072,080,922,991,809,961,091,508,962,922,356,271,484,433,439,746,158,732,473,
361,225,218,957,474,538,060,262,838,088,650,498,458,323,067,293,710,220,231,
927,119,860,381,255,159,900,659,177,155,163,675,158,232,306,704,960,441,299,
306,127,318,125,120,469,122,262,501,586,229,236,222,173,495,051,327,631,573,
909,345,773,340,221,365,563,518,884,873,626,866,663,193,595,555,245,297,022,
774,440,338,077,946,474,877,962,395,561,096,980,612,530,693,461,219,485,857,
577,363,629,813,876,557,694,506,894,531,902,973,272,716,670,479,476,620,469,
633,017,694,672,155,830,545,956,003,445,635,371,254,634,257,875,029,316,752,
328,200,858,608,457,484,605,707,798,284,329,435,090,551,151,151,205,121,460,
649,253,747,631,941,235,602,072,501,490,068,550,057,033,123,065,767,750,233,
350,102,921,556,289,750,643,246,390,449,049,908,155,454,934,915,755,717,679,
153,911,768,662,339,257,556,586,519,705,431,407,386,749,920,057,978,708,707,
371,977,823,824,266,208,977,882,583,831,811,694,669,174,637,439,808,857,016,
967,695,977,703,780,666,174,251,970,058,841,014,389,243,766,497,049,434,498,
973,793,655,260,328,460,635,096,787,211,706,113,292,246,303,857,155,260,563,
893,145,844,808,232,328,094,226,283,427,784,688,880,266,777,279,051,610,786,
101,753,180,965,838,478,533,890,715,303,233,890,415,293,798,218,211,008,027,
603,822,427,128,730,774,149,897,158,280,038,500,676,074,911,550,846,507,184,
354,304,726,696,657,410,554,367,940,373,131,930,489,590,058,679,998,930,580,
669,326,527,688,851,639,167,077,976,116,059,338,629,417,480,811,456,361,630,
705,838,331,605,788,766,997,558,405,933,730,160,067,345,273,377,580,038,333,
483,829,023,241,290,118,857,409,012,619,984,275,110,837,007,600,571,745,372,
933,213,517,326,377,771,521,510,327,688,544,686,771,803,815,947,027,801,152,
146,869,820,864,224,536,105,849,231,848,158,233,145,162,647,332,331,763,619,
032,106,939,665,242,255,659,265,792,170,197,905,492,335,756,252,420,351,583,
543,199,243,651,460,956,594,181,605,340,098,959,076,317,286,316,968,501,301,
256,207,543,658,954,345,741,978,648,957,528,925,195,154,517,700,504,006,990,
255,789,501,965,640,128,261,190,666,119,502,844,941,202,404,192,889,161,134,
790,053,590,005,034,228,808,817,195,592,427,540,782,518,150,812,475,180,905,
801,494,858,655,785,862,980,024,918,985,727,833,093,624,940,883,177,241,457,
615,851,403,157,686,877,790,780,764,757,016,473,483,403,329,183,939,751,867,
581,723,744,000,800,026,499,603,691,718,071,703,437,400,827,130,088,920,852,
779,328,606,372,766,393,100,846,595,088,679,511,460,204,431,733,049,446,698,
364,119,479,608,374,091,509,834,475,320,077,345,376,482,444,582,993,701,545,
643,453,852,926,895,969,023,442,658,221,264,330,967,224,566,114,408,057,878,
190,371,568,707,197,972,289,509,687,476,104,696,752,262,617,478,149,964,843,
223,177,622,397,846,905,395,686,163,316,956,102,047,536,938,085,614,525,002,
350,561,265,048,689,848,811,135,678,055,952,188,770,104,721,173,324,139,529,
092,977,648,617,340,085,252,739,518,957,576,380,035,777,605,676,414,089,592,
716,688,226,226,779,620,772,800,541,821,544,734,599,307,879,427,474,010,083,
825,199,659,322,440,006,515,574,984,560,895,832,200,369,552,699,516,491,382,
792,247,328,276,450,329,986,887,284,857,386,165,424,060,681,115,968,634,607,
192,702,906,270,707,885,719,553,429,043,854,695,714,431,737,358,555,210,389,
838,899,467,783,254,608,320,924,455,699,807,606,819,133,613,219,804,492,791,
204,200,504,353,878,834,771,781,591,721,218,728,189,371,947,087,388,545,955,
956,599,000,416,237,587,796,370,303,440,599,272,074,521,589,872,605,590,474,
625,177,913,642,338,233,848,319,468,081,150,945,534,454,738,193,467,133,492,
614,406,181,676,947,408,800,783,696,877,720,640,172,556,353,144,095,884,323,
107,997,553,068,633,539,083,372,805,412,503,347,278,675,957,809,122,801,305,
805,191,522,023,064,761,305,094,168,722,769,735,584,096,175,032,680,177,894,
579,604,771,625,924,898,158,872,752,953,512,052,881,252,850,942,532,271,293,
043,816,654,148,039,457,861,262,653,629,889,345,603,110,781,633,148,965,537,
329,110,359,817,957,123,220,251,838,802,022,238,544,825,070,117,372,761,384,
388,943,364,577,988,042,958,394,941,005,561,898,412,369,314,100,622,943,986,
693,058,214,331,229,175,152,427,406,626,676,374,216,775,840,739,260,380,317,
773,240,504,858,475,792,996,841,573,729,012,796,380,045,981,900,279,042,315,
572,386,360,543,919,737,814,349,364,115,510,201,591,301,519,214,346,750,568,
135,286,559,896,608,510,139,729,612,104,931,022,423,799,791,335,472,803,596,
568,460,319,617,505,691,374,259,954,821,635,648,790,407,802,408,455,748,256,
434,050,485,218,629,769,037,715,407,707,224,496,495,078,033,378,389,279,109,
168,794,446,697,640,260,515,205,310,548,303,725,668,794,893,631,862,447,533,
911,250,826,877,886,655,327,935,988,147,936,837,108,471,693,831,870,971,654,
580,987,563,678,470,438,463,664,701,099,398,094,501,623,778,397,201,709,602,
790,113,769,473,950,018,950,688,010,115,976,667,009,476,204,954,594,078,988,
971,086,000,087,503,660,689,155,815,638,472,574,039,739,876,865,008,034,091,
032,134,924,622,158,689,852,609,145,710,600,910,763,104,366,549,381,922,849,
276,758,471,401,711,685,845,945,655,167,720,348,615,862,944,968,232,480,181,
637,785,496,333,502,069,217,476,019,821,188,652,899,633,310,953,937,771,311,
177,458,769,508,001,123,542,211,332,455,307,034,094,318,151,231,911,376,722,
541,899,869,695,820,639,337,217,531,146,913,200,731,959,556,043,138,336,237,
504,645,192,549,543,874,847,809,594,623,860,296,824,306,570,221,242,111,472,
975,253,181,518,683,262,757,535,632,188,864,037,810,119,602,668,789,112,563,
765,313,904,047,742,001,539,461,426,268,681,588,515,503,499,400,364,386,781,
940,630,095,139,761,675,517,168,803,828,380,376,122,247,410,427,637,998,059,
392,056,077,811,561,299,092,840,484,607,851,388,744,230,513,695,479,810,929,
813,467,921,109,238,737,963,786,569,768,660,393,993,737,066,496,848,580,233,
984,909,485,119,765,857,034,425,812,355,839,455,274,576,240,899,475,641,160,
519,031,127,133,532,646,986,961,975,985,219,698,085,266,337,917,708,970,011,
622,635,851,276,073,732,313,109,695,322,234,666,206,703,588,899,193,562,695,
392,169,719,053,525,758,065,853,270,008,232,242,330,917,617,927,251,714,130,
582,728,525,445,782,438,893,433,100,332,811,666,945,073,629,411,838,747,136,
137,918,688,809,040,225,488,526,977,229,507,930,071,442,694,396,420,989,392,
620,277,237,229,849,608,099,280,569,976,540,648,159,247,428,052,851,160,887,
175,383,531,761,575,365,080,612,138,309,856,281,486,581,218,690,524,311,690,
995,509,825,285,649,278,289,333,854,358,707,292,383,364,188,342,022,571,169,
019,400,068,625,335,969,539,035,985,288,755,224,969,734,957,974,916,985,115,
435,775,352,163,675,913,616,328,411,106,488,107,090,748,822,575,649,717,751,
783,829,463,888,223,482,686,976,538,427,846,237,720,252,815,667,206,972,094,
880,109,932,759,522,863,394,504,309,251,932,788,377,146,862,722,284,221,196,
398,168,275,896,511,705,447,579,239,695,564,220,357,374,484,102,784,984,637,
352,038,368,372,266,627,070,055,329,311,277,413,478,012,822,066,854,199,953,
071,043,147,078,660,276,907,538,129,395,131,326,413,466,219,587,253,112,023,
059,213,810,209,730,819,465,938,558,221,750,963,165,413,424,342,446,846,872,
084,361,895,766,878,215,792,958,899,174,678,537,732,506,450,691,730,818,737,
789,334,034,944,426,490,563,648,657,854,274,881,229,839,661,447,299,477,534,
210,264,900,145,077,138,757,020,012,032,129,463,466,139,314,755,940,126,285,
839,441,854,202,873,199,663,419,144,617,727,323,734,114,787,467,666,597,862,
800,632,939,446,260,729,389,821,852,602,244,438,679,141,068,280,273,564,909,
136,042,945,548,530,719,410,813,604,197,954,799,406,645,231,569,578,747,242,
525,472,462,744,348,352,222,345,823,996,553,067,712,557,513,638,421,253,614,
018,144,051,987,511,694,841,955,623,445,337,046,911,183,465,984,836,645,793,
347,322,904,941,470,683,758,576,010,576,773,615,813,488,317,891,640,065,669,
902,666,518,044,298,762,418,403,271,661,909,353,689,202,916,624,090,109,711,
417,888,542,901,244,736,683,001,880,567,661,608,615,240,509,535,093,643,861,
670,027,204,441,901,197,844,706,367,596,822,296,314,973,421,575,214,627,372,
005,875,632,801,001,312,657,628,486,786,323,279,705,939,228,996,521,979,625,
825,120,837,637,478,179,115,573,492,895,242,146,790,017,494,989,926,377,977,
121,274,275,946,694,260,861,601,049,675,313,681,694,892,862,466,941,104,891,
249,389,528,188,087,512,378,780,822,847,551,922,248,603,229,820,848,700,664,
351,626,576,165,442,382,081,789,470,080,976,516,022,007,829,797,302,405,938,
234,168,414,493,853,865,763,031,790,314,551,562,521,096,018,375,400,038,071,
739,260,700,875,913,660,471,123,288,037,042,233,651,003,386,094,367,190,021,
569,578,940,284,421,811,164,992,753,554,088,059,858,848,833,489,800,861,663,
128,295,544,633,804,562,096,665,176,184,222,519,215,832,233,371,562,871,868,
609,043,536,018,122,814,351,286,688,751,977,619,405,034,209,236,438,399,559,
118,894,199,917,817,834,586,000,375,416,359,015,982,090,488,033,631,913,747,
482,457,356,101,825,725,087,187,773,353,922,441,100,007,802,458,720,371,760,
692,028,899,101,682,737,308,719,618,085,805,989,057,467,961,176,657,321,313,
091,033,118,012,090,905,781,338,501,833,401,382,924,935,203,038,016,379,223,
970,893,702,680,043,076,418,038,954,521,563,376,817,810,387,172,209,921,997,
438,331,725,908,235,731,615,343,550,101,630,631,628,216,834,105,974,973,330,
875,016,129,959,244,184,066,935,068,628,547,178,123,764,724,761,997,932,519,
904,751,298,179,634,198,985,722,261,854,500,818,659,198,914,829,326,322,903,
919,959,490,629,231,697,602,339,390,888,165,513,771,052,479,516,017,858,367,
246,582,556,289,841,046,426,955,289,996,272,208,918,258,567,935,823,826,484,
726,092,687,505,526,349,878,365,647,758,338,107,796,156,932,675,790,589,497,
796,594,822,385,038,548,538,444,400,755,403,866,338,096,882,795,001,995,651,
151,865,591,646,061,855,551,653,011,928,744,309,606,601,047,489,743,758,724,
650,615,342,036,365,216,457,883,788,085,081,037,740,809,777,663,626,430,550,
218,732,449,158,473,975,890,602,236,781,331,394,410,948,117,201,096,787,703,
628,144,026,627,460,755,997,441,329,915,011,104,510,870,533,223,705,020,038,
008,344,699,707,059,514,895,077,075,993,857,648,556,962,415,236,629,932,716,
512,356,782,625,952,637,649,517,114,198,280,278,477,223,014,209,528,829,899,
856,965,608,578,944,026,981,302,203,732,943,513,542,708,135,167,510,195,763,
849,546,635,319,169,051,048,607,372,772,039,351,213,509,057,386,149,182,555,
791,354,806,421,834,996,317,327,789,264,596,944,345,968,989,651,071,420,442,
570,595,280,051,465,060,223,721,996,208,622,717,904,507,696,776,309,935,771,
427,291,499,043,827,213,066,223,170,611,885,253,559,207,486,002,129,540,699,
799,419,978,813,349,122,989,988,022,993,289,914,322,075,117,266,322,494,650,
099,884,872,081,758,980,834,277,526,200,793,434,450,037,762,614,394,722,595,
425,488,552,273,558,012,176,844,870,763,356,608,526,400,933,024,307,177,288,
077,815,965,930,762,359,996,499,318,209,428,867,115,307,875,948,114,262,297,
442,319,358,125,813,346,266,584,948,904,731,362,099,212,236,533,412,241,159,
704,769,113,459,734,652,060,545,627,860,907,135,786,842,088,327,307,104,467,
832,869,676,911,447,910,072,000,123,723,723,908,648,544,712,009,344,862,891,
413,704,310,916,608,256,837,826,581,577,459,261,045,497,491,721,032,369,661,
074,063,636,314,064,345,422,026,765,618,719,851,521,643,590,523,425,539,770,
330,574,822,598,737,390,689,207,530,274,017,657,741,424,586,877,668,791,272,
106,207,071,064,593,026,699,216,097,443,272,787,603,905,051,597,904,004,959,
283,201,203,994,641,719,220,203,983,960,364,090,901,250,705,073,574,346,266,
118,409,886,918,000,085,369,539,427,688,120,799,759,790,487,613,072,568,900,
279,766,051,305,315,588,180,816,992,925,234,225,472,417,117,974,689,658,161,
397,415,607,770,075,756,608,274,180,328,866,060,908,046,413,809,790,086,453,
839,696,375,564,087,353,662,812,390,652,690,256,669,199,127,859,955,978,384,
917,030,571,011,340,706,996,105,289,537,715,788,892,220,063,518,480,668,428,
914,362,973,549,595,110,593,802,586,249,464,499,493,158,715,570,433,502,335,
392,976,778,232,782,878,327,038,886,450,396,690,684,955,726,772,645,727,707,
359,115,250,335,959,982,043,225,588,228,747,047,981,172,492,937,794,822,837,
843,336,112,041,853,912,113,631,466,134,955,566,214,695,031,384,019,660,126,
386,017,809,647,071,468,680,502,279,431,843,442,350,790,557,030,293,175,038,
211,970,214,672,770,280,933,645,035,509,265,323,172,062,348,599,560,445,484,
434,483,547,543,229,952,710,647,362,931,481,907,177,277,335,667,171,030,458,
297,390,907,517,410,092,398,635,998,118,191,398,495,223,003,478,429,610,286,
680,866,326,532,702,956,468,399,839,660,301,165,745,490,325,350,792,019,803,
007,854,210,100,550,300,906,616,876,720,508,971,094,250,028,800,139,295,335,
507,821,758,639,616,888,036,279,831,449,296,876,598,048,614,689,515,111,597,
333,076,938,830,868,011,014,671,482,819,334,311,351,438,671,197,665,190,056,
082,796,703,632,613,392,452,705,108,298,792,948,152,321,731,579,880,952,414,
602,868,912,423,288,185,374,545,199,808,578,561,645,035,804,819,935,098,726,
571,771,520,176,904,753,967,766,769,178,809,648,597,210,941,606,764,943,136,
480,882,612,084,170,422,635,125,329,728,062,610,711,381,617,970,188,452,036,
841,527,646,598,146,143,472,369,011,786,284,984,655,010,031,339,871,229,832,
823,458,641,794,414,793,517,096,721,071,789,469,299,534,402,010,698,123,687,
030,513,989,697,712,868,089,873,447,648,445,269,956,993,044,324,832,717,518,
574,889,939,816,259,496,584,256,448,669,153,584,522,785,028,955,076,436,597,
819,243,260,747,419,891,072,095,180,188,182,757,625,873,438,081,334,333,648,
490,891,482,708,362,613,619,212,903,122,878,223,118,461,198,096,677,969,787,
326,488,586,149,212,141,422,510,843,188,564,631,843,410,689,545,103,131,423,
962,071,714,728,621,573,814,744,710,583,687,118,280,250,420,656,301,917,096,
679,778,961,481,894,002,120,672,013,610,738,403,612,463,249,550,193,704,126,
262,360,529,816,436,908,296,330,117,214,636,446,412,470,304,919,115,342,987,
424,540,453,181,114,304,203,997,557,889,184,090,780,088,461,974,350,881,291,
565,737,773,840,142,217,046,797,641,909,214,905,902,681,496,247,534,693,419,
406,596,160,316,283,991,982,019,450,994,041,849,123,077,481,473,099,039,933,
557,773,164,407,498,419,818,251,819,395,335,839,760,121,658,349,410,916,431,
858,643,642,388,651,090,657,205,663,899,707,532,844,344,452,140,345,720,800,
299,850,877,110,037,237,927,231,767,623,788,649,977,054,205,291,907,083,900,
449,315,158,398,137,809,487,175,170,907,660,887,919,955,802,978,673,225,890,
702,431,352,612,223,577,723,222,502,535,432,209,026,654,655,214,610,175,665,
149,945,308,321,130,441,055,220,091,481,532,036,874,455,124,869,239,702,519,
528,838,251,121,265,912,801,891,338,514,367,029,645,097,068,882,676,333,771,
971,290,027,036,094,772,290,855,247,711,220,560,711,955,845,603,601,043,404,
713,236,362,077,184,969,288,679,352,146,023,180,970,203,940,522,789,297,263,
651,202,678,700,003,733,213,130,252,794,420,261,323,188,083,135,531,832,701,
001,838,809,277,643,905,160,471,722,800,797,586,346,479,972,283,738,132,063,
895,478,219,002,168,076,088,259,236,269,909,731,157,666,974,614,286,605,571,
490,300,559,081,901,213,939,102,416,581,580,125,521,094,032,691,234,234,573,
600,741,488,030,467,016,753,080,814,748,430,866,380,384,402,036,941,411,532,
702,505,339,062,277,644,390,675,230,374,296,673,936,966,751,225,870,892,507,
440,734,931,238,944,413,744,603,945,864,161,582,235,405,303,216,083,414,573,
950,805,578,740,785,100,584,705,078,222,943,146,443,573,018,244,511,981,185,
982,332,109,642,016,321,190,311,544,243,267,325,143,403,331,520,685,641,688,
138,432,607,866,526,611,860,247,833,402,908,507,808,285,068,214,188,359,709,
516,154,151,429,930,195,636,455,774,750,368,463,529,654,257,531,357,388,720,
064,571,454,256,040,085,531,371,133,172,978,048,706,659,857,459,935,747,768,
931,880,580,424,279,298,250,783,134,299,846,497,042,543,269,010,730,078,388,
295,018,981,240,768,639,694,062,922,132,552,867,755,841,873,602,096,418,513,
920,368,516,818,507,249,854,361,784,330,582,233,381,096,760,732,777,432,188,
506,531,059,013,934,971,662,816,394,187,568,713,030,653,579,507,214,743,293,
353,111,259,806,499,023,329,412,809,533,464,736,437,484,225,914,910,479,038,
823,976,838,417,523,949,899,123,873,659,328,790,284,408,787,648,847,814,843,
873,830,924,061,536,561,670,133,683,327,501,203,928,909,483,896,281,158,866,
882,716,590,305,773,890,045,329,320,039,952,064,043,047,880,516,304,988,652,
914,868,241,177,703,129,345,583,076,753,548,115,662,272,913,283,409,923,856,
843,702,966,867,006,911,781,644,039,001,601,472,797,862,020,182,851,731,834,
579,648,666,856,475,363,899,295,230,032,543,523,334,865,631,979,206,865,367,
829,104,487,501,680,555,332,034,471,725,211,682,036,371,240,223,428,231,237,
328,018,774,213,060,330,613,253,023,433,733,546,388,936,811,703,575,022,385,
891,013,861,176,830,328,429,835,745,934,661,473,656,098,975,898,704,214,029,
920,876,965,645,310,846,919,344,186,598,763,489,282,978,055,691,102,580,878,
634,536,250,690,852,065,194,635,526,083,740,590,943,056,575,152,724,995,607,
708,047,594,913,693,038,036,385,635,694,515,977,681,462,155,836,011,731,349,
780,150,661,909,848,142,713,048,836,448,558,391,401,491,685,658,458,809,023,
958,720,465,538,165,675,794,814,045,006,202,562,316,034,559,855,215,756,170,
995,360,814,330,875,734,759,226,873,324,889,320,965,840,276,288,767,429,968,
919,774,838,827,902,125,866,552,274,425,817,402,438,330,594,524,288,543,253,
926,355,546,224,771,117,796,494,877,167,582,773,053,923,569,040,129,085,307,
180,971,683,256,913,953,490,357,827,053,530,758,597,915,428,666,838,619,529,
215,564,147,729,973,714,577,608,099,322,222,984,291,116,298,726,308,530,845,
028,250,149,091,690,418,948,895,430,167,162,284,453,349,999,045,246,084,619,
068,685,434,604,714,111,978,050,739,628,250,533,700,286,122,844,155,812,672,
755,479,920,353,027,537,886,883,865,669,000,594,196,902,753,206,518,742,133,
560,990,596,992,551,426,804,589,974,414,939,393,959,402,176,501,327,729,957,
199,001,878,719,549,878,674,915,830,498,126,915,527,356,850,553,979,756,826,
883,240,103,042,943,108,115,071,862,926,928,967,976,329,889,435,663,142,755,
014,612,975,721,028,921,751,255,059,759,465,702,538,662,574,058,293,626,123,
977,178,612,129,159,511,059,924,722,577,802,659,973,932,764,735,607,360,054,
601,045,119,950,305,699,496,792,576,239,485,063,244,622,835,782,849,197,047,
359,188,904,597,806,415,127,081,793,565,481,127,770,714,489,147,742,549,738,
359,122,284,140,823,866,297,417,860,312,536,753,525,077,537,882,945,836,828,
573,406,634,582,654,551,513,582,226,843,760,558,716,634,619,545,693,556,481,
200,987,269,253,658,415,801,523,126,137,464,019,027,927,686,316,715,670,968,
386,784,097,720,753,687,533,006,526,864,266,192,317,036,860,028,487,129,717,
846,886,034,017,129,316,773,675,909,135,433,823,738,989,313,848,035,356,748,
429,200,134,817,593,743,214,971,166,476,172,554,377,011,001,839,673,782,651,
995,138,474,819,768,265,008,083,868,307,447,060,147,585,542,592,148,600,182,
777,386,080,922,302,191,848,201,796,941,858,928,378,025,038,607,678,081,341,
075,850,249,391,449,068,955,151,518,420,884,489,852,599,460,661,419,152,167,
857,322,225,759,922,934,103,411,530,562,233,885,297,180,849,549,578,332,046,
551,917,568,923,763,774,271,214,905,306,734,829,996,298,793,322,599,063,761,
334,078,008,329,154,093,745,073,747,287,892,086,093,818,889,578,216,295,589,
936,592,281,272,898,665,431,303,281,346,204,089,048,930,104,423,009,466,864,
429,620,815,828,445,673,931,658,232,181,749,653,964,960,828,848,273,596,510,
160,764,496,352,943,983,658,007,357,065,283,974,276,893,736,388,044,210,363,
830,160,404,743,091,460,932,819,882,323,553,160,238,973,928,271,824,320,695,
364,307,845,902,850,052,336,639,321,771,124,225,534,670,405,943,425,854,016,
575,971,463,632,277,262,926,040,491,200,775,836,702,379,224,928,396,158,805,
442,488,000,274,066,969,328,699,156,438,309,933,623,134,870,475,851,401,589,
624,408,245,513,002,851,048,628,969,246,527,444,429,454,994,547,826,968,932,
722,769,802,021,463,517,724,443,408,679,802,879,142,320,106,738,249,292,690,
711,949,835,574,574,920,867,373,973,529,535,473,124,980,941,051,971,936,065,
552,370,232,287,112,022,929,980,615,730,878,556,076,785,416,784,210,497,004,
140,977,212,427,138,498,961,850,638,197,649,215,971,964,204,218,141,154,102,
493,727,734,989,032,426,349,671,278,822,643,970,019,764,663,803,726,624,266,
505,724,103,341,163,835,488,859,225,331,558,815,096,823,081,626,322,297,130,
090,946,813,366,571,938,122,091,732,165,640,343,475,781,962,756,341,301,136,
391,537,691,211,221,568,509,210,975,776,772,719,701,740,759,310,654,630,794,
149,974,474,090,706,987,271,050,866,085,578,352,638,747,198,139,829,262,282,
829,695,486,311,481,849,566,147,607,311,445,193,185,704,338,694,065,730,484,
878,583,971,227,496,166,353,773,388,625,425,618,967,374,500,267,112,818,947,
839,881,685,941,358,230,235,901,841,160,755,082,505,803,702,078,083,572,278,
102,415,886,477,874,743,275,735,579,721,252,235,130,173,595,328,059,832,822,
752,285,939,634,997,950,809,330,046,524,509,063,294,660,042,490,996,177,343,
595,313,793,704,364,270,389,050,446,405,065,820,940,772,968,872,331,688,129,
833,938,681,418,625,000,110,882,049,202,360,351,766,492,883,610,040,055,803,
982,681,897,822,059,807,557,431,998,411,392,987,006,894,365,419,403,686,226,
027,162,967,259,014,926,686,830,489,947,394,257,834,009,760,496,659,288,396,
520,119,766,630,218,348,722,783,696,442,653,103,616,391,730,351,909,824,367,
049,537,513,574,492,274,385,310,007,570,440,270,436,529,208,222,240,478,529,
682,706,619,011,340,256,494,465,977,021,400,416,030,837,904,650,824,015,267,
677,228,850,757,342,642,551,521,337,938,267,849,210,823,284,039,551,289,039,
224,096,228,884,530,197,271,009,314,423,870,291,065,300,638,389,967,149,726,
837,137,795,012,846,183,311,551,881,242,336,698,359,918,960,714,551,296,548,
397,081,205,918,119,888,010,878,564,613,392,016,903,414,975,436,148,322,732,
358,823,964,475,516,955,819,498,373,606,519,319,609,784,159,204,216,064,893,
932,450,610,773,217,246,215,055,463,275,012,390,348,155,015,936,537,294,858,
585,342,678,099,867,283,757,615,976,577,085,856,357,233,981,316,867,506,393,
130,852,300,804,587,939,567,373,733,816,336,571,582,317,752,960,178,793,650,
340,382,890,546,183,959,209,321,139,645,688,046,875,199,084,703,765,714,248,
640,841,967,712,513,683,945,885,566,095,967,791,881,803,176,922,465,861,650,
949,165,525,939,420,136,476,129,757,820,366,162,323,519,151,916,992,890,605,
687,244,091,049,947,698,963,707,593,973,280,824,022,114,229,133,671,653,934,
723,136,418,330,225,230,559,164,778,810,547,664,193,431,533,558,403,514,352,
269,979,699,435,623,823,956,486,121,940,151,839,802,855,126,682,460,928,201,
595,527,345,648,289,833,535,891,778,420,412,264,687,681,305,755,090,551,634,
360,711,711,790,432,348,209,947,328,750,954,975,139,730,035,606,920,383,512,
732,622,210,004,688,192,558,494,928,374,246,217,020,492,304,135,004,901,685,
887,457,016,530,982,517,346,545,524,240,564,583,665,621,295,617,882,057,880,
670,721,996,242,767,133,243,231,151,006,382,664,501,227,141,375,353,876,458,
073,611,061,915,305,140,177,175,279,356,022,852,032,889,765,289,787,870,677,
763,023,778,620,301,227,545,829,198,330,840,383,260,323,261,666,796,626,184,
681,118,118,393,298,849,064,760,061,813,029,518,275,944,573,437,920,249,086,
487,884,464,756,079,430,182,254,498,367,491,446,567,732,700,427,294,660,005,
063,809,533,908,798,675,575,757,288,575,803,697,292,061,391,225,718,287,934,
718,245,369,045,171,738,743,142,205,318,350,605,340,303,225,463,698,554,967,
908,219,002,379,153,667,217,126,986,229,716,690,745,674,588,388,431,934,612,
005,598,481,938,034,501,661,195,740,484,942,908,529,928,918,376,184,764,924,
362,600,077,462,699,006,184,379,203,166,597,966,645,531,247,871,497,040,783,
208,611,647,910,965,719,019,188,653,057,326,748,117,389,464,325,855,506,441,
434,097,624,366,467,753,167,093,844,490,345,734,599,888,039,899,387,041,001,
981,817,908,194,879,495,165,627,277,681,988,982,447,094,982,291,505,563,966,
514,116,178,952,184,460,992,264,104,523,963,725,462,810,618,324,504,091,560,
181,471,998,135,423,557,871,052,093,525,168,671,552,640,287,887,514,915,057,
269,849,606,281,364,008,407,724,851,214,854,755,477,555,966,327,485,465,219,
656,169,409,929,596,041,677,227,238,522,632,325,493,492,752,299,669,744,025,
877,440,458,473,972,731,907,054,960,655,025,437,183,268,353,770,466,099,990,
327,267,625,736,700,915,459,941,849,188,121,685,528,176,034,500,058,400,255,
581,569,721,896,926,304,200,531,068,773,259,031,209,892,888,209,955,171,500,
758,399,471,905,357,418,581,352,078,368,586,525,979,797,714,381,914,172,687,
294,175,975,218,564,686,059,769,838,414,615,577,952,431,092,003,835,086,922,
629,080,341,937,909,029,555,700,574,526,887,158,188,231,295,260,518,719,677,
012,751,153,474,321,374,260,453,026,134,208,427,890,646,964,526,789,544,119,
391,108,831,476,703,068,960,433,930,168,553,839,795,541,981,068,916,832,276,
174,560,960,632,198,488,164,730,863,486,317,955,594,079,358,208,443,636,321,
533,262,074,162,963,679,758,807,102,221,864,278,318,104,944,691,290,068,209,
553,181,666,684,919,247,959,293,691,792,774,495,166,461,577,444,549,459,443,
444,513,596,116,364,345,560,219,309,409,719,857,853,747,104,100,470,809,362,
829,216,430,662,587,339,497,735,347,179,079,912,676,801,372,927,048,224,409,
092,798,819,702,189,101,983,551,520,719,575,559,189,769,773,289,875,123,905,
355,907,452,759,512,600,881,897,514,422,032,278,305,167,482,905,394,029,664,
025,337,412,911,517,903,166,719,541,283,624,604,462,625,784,569,316,772,566,
362,079,555,211,472,931,651,275,371,277,048,626,365,217,490,375,295,513,616,
720,125,028,389,186,525,409,606,977,632,288,308,558,164,294,402,575,499,211,
003,801,853,036,184,770,958,019,196,131,113,262,153,765,086,641,023,370,893,
898,126,360,700,929,570,184,715,886,001,255,702,651,461,928,173,260,774,050,
863,696,894,912,150,459,023,878,075,243,717,132,387,253,587,492,566,481,844,
738,613,596,872,679,445,945,927,593,138,527,362,529,139,141,737,513,205,400,
919,080,533,264,044,396,343,548,326,369,563,896,937,522,674,287,404,052,632,
912,776,420,791,291,294,555,505,567,168,948,644,735,996,138,116,328,175,792,
263,641,554,925,014,525,072,067,486,929,987,141,443,002,866,343,201,052,205,
889,015,569,337,836,908,770,256,166,374,517,341,941,794,690,200,501,498,778,
205,972,688,351,876,513,912,461,408,240,448,025,430,553,010,616,602,464,036,
138,883,181,748,569,347,246,905,645,241,273,717,212,435,001,270,900,277,056,
332,818,568,960,058,404,546,032,128,253,493,361,929,508,258,018,256,853,796,
013,457,765,652,323,172,463,179,628,737,547,550,596,439,052,892,502,127,683,
636,680,494,578,827,946,214,574,722,116,085,195,768,847,669,677,905,803,174,
977,563,604,480,399,156,644,613,942,199,100,960,714,821,603,921,492,282,717,
523,492,775,404,594,336,890,158,191,332,370,186,859,401,491,612,373,703,761,
484,220,909,667,056,892,671,161,137,233,847,487,918,710,182,984,756,442,662,
807,913,599,177,302,773,737,559,852,491,791,311,750,520,495,547,251,692,885,
865,153,225,198,869,597,153,398,396,183,592,132,730,797,289,759,805,598,591,
650,075,539,335,352,914,596,180,051,245,665,827,460,680,544,618,522,378,015,
520,120,294,505,765,429,777,988,761,511,852,988,737,944,878,986,085,182,490,
875,842,278,240,576,539,972,962,611,284,733,951,431,015,027,167,508,132,229,
166,362,023,295,966,998,825,487,276,402,195,747,315,832,807,767,082,804,173,
074,892,681,842,700,900,411,819,131,963,639,340,696,071,143,656,058,356,624,
553,007,408,768,254,587,480,266,901,890,578,125,547,973,557,324,525,729,813,
111,093,603,395,240,402,357,205,971,653,230,127,469,533,892,804,551,839,157,
395,728,271,911,580,756,506,121,344,992,856,526,942,698,632,176,992,904,130,
012,633,343,011,396,604,299,968,469,028,149,116,007,334,056,115,267,615,000,
370,219,176,339,751,650,443,429,710,652,760,520,712,802,829,630,912,893,043,
098,458,864,014,018,880,247,951,462,418,015,751,669,482,510,271,905,271,346,
574,567,687,908,295,894,217,499,471,770,057,855,277,485,831,363,365,011,845,
371,197,077,308,636,268,681,266,414,446,153,171,669,685,550,948,701,750,629,
518,225,608,724,566,227,977,957,492,068,227,291,521,118,612,340,374,586,288,
694,184,279,763,904,682,955,648,095,574,217,773,199,120,020,906,850,859,418,
098,988,522,484,366,916,158,124,256,737,007,314,958,833,959,217,769,505,227,
343,720,452,659,966,857,132,079,958,209,302,357,557,002,311,845,159,049,427,
641,755,040,364,360,662,473,074,982,872,239,427,839,187,504,728,965,506,119,
616,254,562,655,606,722,186,817,664,930,366,295,205,061,299,187,507,639,119,
062,459,152,309,136,227,396,652,610,256,885,418,743,000,694,592,784,598,461,
639,566,491,238,134,711,852,926,985,766,828,107,198,421,918,822,623,302,922,
454,806,180,115,752,697,550,615,479,232,509,739,068,051,332,082,652,019,328,
207,254,144,204,760,791,357,414,229,542,817,312,306,870,453,568,108,516,994,
576,629,599,529,227,648,277,898,972,388,802,747,884,722,769,653,481,164,777,
039,734,701,401,038,141,561,692,717,810,307,298,019,283,053,811,186,163,270,
197,530,366,268,453,527,962,180,784,750,211,692,533,583,199,213,580,461,580,
073,325,489,811,871,866,715,183,369,819,649,470,639,620,646,177,458,848,524,
469,689,717,817,790,970,544,362,315,070,930,702,023,809,502,817,950,271,332,
458,225,996,058,773,744,274,616,536,376,942,224,031,422,198,766,485,832,648,
861,148,952,110,408,995,874,798,974,800,653,853,653,507,807,207,086,290,700,
968,657,886,347,594,460,091,496,991,550,935,377,790,541,966,391,801,543,460,
739,995,390,075,974,055,539,583,179,155,014,728,123,820,246,213,941,032,225,
320,455,946,904,480,819,305,853,140,006,388,463,141,384,387,209,899,538,440,
416,967,168,501,866,427,085,768,312,566,903,630,372,927,161,870,742,073,231,
488,701,204,348,977,679,575,560,879,410,224,726,640,822,611,808,118,379,317,
225,562,166,851,068,712,886,956,529,472,118,960,036,462,225,455,205,219,688,
284,790,452,245,684,970,558,144,528,921,437,158,496,118,016,627,166,170,448,
078,386,788,360,997,036,417,141,943,086,577,385,863,034,844,157,833,803,620,
348,564,389,852,489,048,790,327,347,316,275,191,188,028,777,264,547,252,639,
813,691,573,375,578,843,420,756,723,499,642,638,807,448,766,079,761,463,776,
499,965,065,143,754,935,821,940,946,876,223,395,517,848,208,317,702,863,655,
024,373,939,115,729,909,835,467,399,760,663,336,872,884,726,343,478,284,272,
395,630,744,861,716,523,841,184,626,055,686,548,073,873,865,962,711,226,602,
056,405,702,735,995,685,344,826,177,594,538,627,419,357,972,101,258,517,814,
976,403,621,372,981,584,912,089,995,762,186,728,784,365,373,715,027,149,366,
676,978,477,489,869,203,544,709,407,442,286,365,235,737,640,177,077,528,260,
287,774,555,849,530,015,718,506,064,831,149,612,293,012,035,780,063,967,692,
418,776,252,932,254,667,191,310,552,816,587,628,655,241,998,057,379,508,461,
354,162,796,017,958,160,398,064,418,147,160,904,074,493,930,792,660,359,248,
663,685,928,756,320,305,068,136,847,794,380,311,983,290,497,276,162,241,456,
402,847,509,687,149,290,147,883,343,456,152,729,872,308,537,825,909,771,134,
998,786,139,067,071,917,683,903,075,970,649,761,004,073,043,949,563,734,985,
859,614,216,477,290,892,759,615,671,071,237,117,304,267,202,766,112,608,418,
446,215,391,781,178,624,396,029,028,321,932,521,382,880,969,416,098,583,646,
053,489,123,256,233,822,483,321,284,701,389,159,303,720,790,515,097,953,014,
853,315,523,564,462,470,042,709,957,933,390,060,420,888,414,393,798,838,839,
421,809,125,800,602,329,745,513,166,153,892,661,684,540,166,725,897,022,985,
509,990,470,420,916,138,725,966,490,650,195,781,503,515,133,713,520,022,750,
211,915,829,382,698,290,220,052,979,301,487,784,211,919,892,226,097,764,056,
449,772,966,274,182,464,821,212,594,826,173,226,997,746,181,068,611,420,840,
045,383,320,441,559,163,751,519,291,043,031,487,549,040,220,049,311,136,304,
332,355,652,881,367,971,555,316,155,422,434,295,691,385,191,493,502,871,857,
819,289,289,128,901,323,788,138,004,710,367,822,490,858,895,539,194,340,676,
555,525,158,823,755,373,077,932,236,147,623,290,155,669,684,951,998,131,458,
630,558,762,650,341,149,271,636,438,385,716,808,152,430,270,514,770,603,975,
185,024,526,311,345,180,981,796,101,149,052,142,614,065,478,105,288,213,519,
171,156,252,088,055,387,773,549,622,744,968,336,637,565,797,583,634,990,305,
122,332,296,786,737,210,183,146,939,679,312,562,186,254,419,451,203,239,736,
687,052,246,150,705,593,322,172,792,796,055,679,961,005,258,041,179,459,821,
271,350,468,200,693,570,560,502,717,686,821,106,141,069,861,170,360,474,113,
245,940,688,797,527,193,768,701,544,072,518,379,312,629,068,783,739,816,784,
612,909,039,515,132,316,025,974,537,562,007,909,271,770,309,030,004,566,977,
370,137,476,339,609,934,777,584,723,098,586,639,233,246,388,994,492,825,016,
948,977,079,728,208,265,028,040,884,390,269,961,226,123,074,225,154,542,107,
224,938,794,113,434,121,834,620,398,148,280,884,749,064,462,111,050,096,113,
961,729,241,432,402,474,080,123,508,047,319,674,099,376,761,228,724,347,406,
474,365,740,718,219,294,365,849,156,169,776,274,225,058,504,743,218,376,334,
507,669,276,601,701,915,217,361,223,362,014,483,532,475,592,603,315,693,508,
014,530,496,739,150,770,514,656,710,757,218,780,719,129,103,336,165,467,838,
574,673,748,934,764,626,123,732,043,666,920,660,527,795,252,421,207,697,865,
433,821,754,704,176,236,986,150,861,586,055,665,465,137,283,799,591,714,660,
272,569,440,966,489,520,146,073,961,958,700,233,734,436,996,339,988,419,651,
298,885,722,359,001,144,071,649,077,289,421,568,167,435,487,255,469,210,639,
051,332,289,586,862,035,495,758,392,756,799,659,610,635,297,069,292,046,278,
000,538,918,238,781,297,943,826,277,000,315,248,815,171,727,299,156,347,202,
124,585,133,965,207,826,366,934,036,486,637,361,119,855,633,431,771,330,865,
869,554,152,293,065,283,081,616,077,090,725,336,911,149,938,258,036,990,288,
868,435,739,905,262,439,374,845,195,035,093,612,796,876,407,442,109,210,205,
698,631,857,530,979,321,389,527,388,228,653,115,554,666,647,135,942,881,523,
294,224,701,526,529,962,039,453,435,565,784,614,677,656,390,643,087,738,735,
571,308,647,645,893,886,815,808,078,292,962,385,728,454,846,261,053,289,883,
257,634,205,607,754,001,799,256,399,090,353,118,349,637,104,892,942,617,733,
502,154,449,670,422,858,851,951,130,694,655,900,806,678,860,764,195,566,896,
967,554,076,472,444,735,830,767,848,075,405,117,030,979,770,305,311,030,204,
312,719,598,407,993,385,896,486,506,245,882,026,726,521,119,408,046,956,578,
547,894,373,375,051,378,086,514,862,277,940,485,366,007,901,897,475,299,635,
496,252,968,187,050,609,197,597,271,709,545,603,312,173,459,461,494,775,895,
129,225,571,886,287,832,911,291,704,535,665,765,373,138,517,904,287,723,456,
814,703,012,879,151,955,634,182,197,981,164,212,025,936,906,301,101,826,750,
523,645,317,832,504,849,745,022,151,907,890,641,658,827,211,465,147,976,972,
699,329,391,016,876,990,438,406,655,807,071,200,278,167,323,797,564,213,997,
017,473,873,433,607,746,895,373,110,319,752,216,605,524,108,757,579,817,170,
656,608,461,718,429,054,594,143,849,863,711,699,544,099,485,972,736,015,997,
308,391,918,688,504,986,744,084,524,052,635,172,984,368,741,605,652,679,549,
527,401,900,607,576,240,586,716,004,021,324,005,292,748,797,276,241,208,741,
714,810,863,023,379,696,426,778,855,139,343,707,511,373,020,448,741,963,443,
249,447,629,908,014,227,697,804,190,480,399,207,063,328,477,612,458,086,275,
289,730,627,218,453,165,308,618,225,063,696,702,183,197,945,068,242,039,477,
471,211,451,166,297,610,634,066,925,594,769,846,165,049,750,302,191,489,148,
772,124,634,570,035,549,946,276,656,912,733,273,045,002,593,427,923,041,920,
119,750,689,341,549,728,563,199,872,879,778,129,609,504,824,428,081,619,654,
542,756,356,994,164,657,798,107,239,493,959,592,151,617,527,114,265,059,128,
563,108,899,083,153,803,769,172,739,078,221,978,069,290,410,498,048,094,872,
645,638,311,614,210,003,482,948,329,967,369,572,850,975,474,418,860,527,365,
556,570,823,122,343,375,616,862,206,644,846,764,471,124,091,746,833,218,209,
121,459,080,532,916,654,625,976,579,121,856,702,533,154,879,937,590,702,251,
855,513,087,531,181,674,400,597,816,334,078,241,211,331,686,846,305,290,586,
770,262,288,750,265,815,556,190,148,336,011,960,024,393,670,457,767,388,494,
850,987,291,322,713,903,332,695,522,744,737,996,873,844,080,920,413,988,393,
183,479,892,757,392,224,116,627,273,944,594,856,718,202,312,357,091,160,820,
102,087,090,980,512,606,937,279,485,262,290,208,830,697,482,541,126,575,851,
246,838,311,934,606,345,642,721,398,824,144,757,655,473,842,414,640,518,517,
665,813,246,440,482,737,781,130,629,847,845,801,964,640,794,036,588,598,085,
733,405,037,486,552,830,822,536,193,609,246,180,642,651,290,024,275,469,961,
896,010,019,480,003,365,719,011,745,155,222,663,143,386,080,092,215,831,017,
881,536,122,539,789,919,116,272,688,967,777,593,736,355,734,049,823,009,430,
299,440,621,480,979,000,748,006,549,417,108,984,471,770,072,661,571,998,028,
978,501,220,995,881,192,518,172,491,308,385,197,789,243,099,658,406,631,673,
237,621,383,203,055,292,056,727,767,571,679,644,277,267,340,947,716,044,533,
545,173,632,434,285,493,173,603,969,950,437,272,678,508,110,915,704,744,390,
822,423,993,994,807,110,981,717,974,763,572,622,772,691,109,946,372,421,943,
629,745,510,122,858,906,630,524,150,048,544,479,897,303,747,173,545,502,381,
166,507,036,206,073,610,349,752,098,367,178,999,340,940,277,312,609,637,684,
683,406,315,120,160,840,287,051,137,074,567,087,005,890,831,151,287,965,111,
291,145,408,747,221,360,869,667,903,828,464,456,766,818,688,719,243,981,829,
675,006,720,035,363,302,961,199,266,597,149,293,893,981,000,422,960,453,569,
456,554,967,686,552,705,208,752,984,651,332,851,011,473,916,453,466,646,365,
902,955,984,064,829,253,530,092,118,539,942,885,959,475,093,450,258,624,980,
248,670,461,013,779,381,760,122,557,968,505,129,254,318,770,770,419,357,759,
329,693,369,426,449,012,633,786,620,136,211,952,741,290,309,181,488,789,441,
377,762,116,531,554,739,527,873,042,118,155,400,439,860,883,923,711,755,695,
287,487,014,219,966,953,263,075,354,545,830,588,961,936,459,121,749,326,889,
675,470,336,746,899,767,344,626,510,951,799,425,259,951,498,826,025,100,302,
024,033,453,217,854,699,744,438,672,980,716,172,806,883,426,393,922,199,065,
117,084,846,692,535,985,229,645,035,433,027,000,760,645,543,341,168,701,758,
283,626,543,367,974,813,615,458,251,523,952,259,878,784,440,744,823,732,951,
345,430,435,289,825,974,292,557,009,719,379,358,891,478,455,294,900,146,786,
245,565,127,236,487,304,847,621,733,058,685,960,065,667,355,429,383,944,823,
242,566,583,180,511,583,361,159,193,567,907,058,579,080,857,614,164,534,401,
302,941,056,207,845,463,289,606,970,315,931,303,804,639,561,318,411,181,334,
863,481,067,432,591,568,594,226,118,039,038,264,586,037,482,080,416,867,638,
703,486,279,304,165,961,453,070,213,950,546,454,827,657,432,450,080,843,751,
137,046,834,714,350,478,071,686,629,159,501,165,827,700,345,251,961,619,030,
989,936,398,878,426,490,766,985,231,406,235,889,215,591,812,867,834,265,837,
463,259,410,067,728,230,971,665,546,844,928,815,403,646,080,571,013,030,367,
148,798,443,530,225,206,872,292,835,025,098,614,907,069,004,286,174,784,628,
070,360,459,312,556,431,669,615,506,656,945,443,115,442,454,922,171,146,165,
363,278,100,524,678,256,594,195,140,777,467,019,500,563,333,968,419,544,014,
281,396,910,789,022,910,357,356,909,398,801,554,864,985,270,278,815,395,954,
142,513,615,589,788,836,620,961,354,121,735,862,740,117,568,931,359,283,799,
036,692,806,449,960,416,074,860,568,526,892,934,568,943,288,749,305,664,178,
613,701,608,805,263,926,460,524,249,272,088,803,385,492,688,822,418,757,485,
198,041,860,632,665,565,787,413,281,127,148,134,105,085,172,023,664,711,175,
788,412,679,281,125,661,706,629,661,190,920,023,990,726,175,819,042,083,657,
821,972,866,818,680,369,512,144,271,174,663,986,835,867,054,945,498,905,782,
883,773,784,944,397,173,536,671,513,954,204,186,408,880,031,863,570,889,589,
449,268,480,256,987,026,087,117,440,025,665,434,312,017,550,397,550,214,006,
677,616,802,612,605,563,369,190,410,611,600,381,449,619,317,051,539,635,012,
934,530,099,083,360,832,691,841,509,922,103,574,668,975,561,208,258,384,567,
099,731,639,412,678,808,635,465,014,455,733,819,101,090,446,039,951,053,828,
513,636,570,700,158,033,849,030,448,185,973,668,548,267,067,217,832,438,325,
380,339,466,336,859,648,723,036,766,537,730,832,363,559,003,374,744,153,658,
984,506,705,826,073,793,979,208,759,561,961,732,404,764,668,711,880,863,223,
918,610,621,365,362,503,054,618,218,066,065,089,058,248,532,987,247,603,664,
781,914,522,623,710,061,486,568,508,824,644,369,518,703,471,207,349,550,837,
274,067,084,839,430,253,504,787,330,856,197,851,257,333,858,820,176,595,228,
094,390,888,178,844,273,731,759,485,582,506,552,498,235,169,279,018,355,763,
881,172,837,725,791,957,703,563,970,601,113,112,202,507,125,744,625,084,328,
587,027,162,542,684,283,595,406,503,884,151,847,384,561,610,573,716,232,620,
167,681,723,885,828,506,348,901,634,593,003,717,702,095,055,056,085,467,628,
909,625,792,018,006,940,060,571,867,325,018,631,856,162,406,383,035,369,879,
771,536,469,501,193,939,354,394,587,080,152,381,149,297,417,081,644,985,426,
560,286,015,746,172,626,766,974,551,393,596,119,773,978,943,761,031,264,905,
682,138,168,147,039,825,811,383,161,635,839,042,111,013,613,380,524,040,315,
934,368,751,112,553,109,224,734,402,513,927,934,555,997,176,097,756,083,961,
709,642,227,308,106,079,957,225,371,743,932,313,458,090,528,797,967,412,264,
428,129,504,904,457,917,036,593,737,573,972,090,501,371,506,913,820,626,146,
036,332,909,869,069,481,539,128,206,394,519,711,124,014,904,434,053,131,179,
926,908,831,626,990,391,494,722,119,817,596,824,446,287,754,213,848,826,746,
922,657,264,753,361,703,705,215,333,786,744,101,835,915,482,875,520,461,415,
719,950,627,296,201,968,380,220,528,529,184,679,701,668,022,057,351,041,251,
180,939,549,634,922,817,222,329,025,541,346,366,643,938,880,483,973,012,028,
150,776,344,351,266,065,217,488,131,652,862,241,169,661,759,797,475,025,665,
183,164,469,765,388,492,774,219,102,941,158,965,442,857,701,910,023,745,852,
313,816,648,212,174,444,746,804,664,161,640,856,899,240,865,988,449,510,544,
526,534,065,408,817,012,473,438,876,337,257,139,131,119,939,725,311,041,603,
701,595,397,870,296,797,391,469,631,185,103,432,000,824,484,031,586,245,165,
625,479,584,372,232,666,137,315,959,873,449,341,051,249,549,043,069,709,448,
720,916,019,188,958,587,627,222,048,527,221,703,240,713,241,674,363,792,625,
082,795,718,700,496,390,386,049,480,402,896,818,136,195,219,804,257,926,758,
697,507,687,608,030,219,300,188,088,351,250,489,087,131,183,218,739,470,913,
437,103,593,811,466,935,109,153,004,711,904,357,241,676,104,404,108,323,439,
722,346,450,035,634,295,566,383,324,839,340,195,291,184,023,216,322,742,121,
971,060,895,582,040,678,238,078,105,219,104,269,307,560,594,909,523,010,629,
200,082,550,602,094,208,579,809,565,865,422,155,831,592,653,103,737,475,396,
258,516,766,752,377,474,223,617,337,476,499,933,031,425,797,827,570,539,143,
286,727,373,570,745,709,548,499,775,222,082,673,884,947,046,790,229,375,518,
651,848,331,841,826,186,460,890,649,187,546,837,024,040,525,221,837,829,918,
231,542,085,429,614,288,579,857,515,432,812,368,849,120,915,471,887,199,821,
403,700,139,657,156,338,861,940,277,912,877,282,398,214,631,984,174,186,757,
052,071,630,911,498,352,594,845,101,225,667,484,833,060,635,881,141,026,224,
754,867,359,324,668,674,034,282,925,861,002,927,128,366,697,722,910,968,333,
647,470,203,967,147,859,042,061,777,292,344,006,598,861,556,931,176,963,633,
528,269,716,793,369,335,200,704,373,292,444,754,005,692,535,251,359,069,836,
495,377,645,622,117,568,328,031,427,619,988,405,786,914,027,467,226,403,730,
276,162,433,586,216,743,520,445,818,540,199,953,149,120,117,120,337,861,950,
324,408,857,593,729,002,144,024,156,073,168,536,416,021,231,461,939,802,647,
888,472,897,225,987,783,096,002,074,363,993,380,001,817,593,759,707,892,488,
474,009,647,163,445,467,329,059,905,114,047,921,789,515,775,212,574,017,662,
852,516,259,066,358,596,552,882,928,920,940,620,615,489,874,970,575,236,677,
985,730,585,387,298,348,545,121,000,604,788,526,293,586,125,812,001,715,770,
095,151,809,662,974,455,652,069,916,730,922,718,407,393,336,649,679,468,528,
630,385,496,371,139,736,228,245,481,400,152,648,931,085,619,685,105,107,655,
731,033,013,841,068,160,375,420,362,574,329,288,637,291,094,226,117,518,733,
919,582,421,380,135,529,763,343,722,591,476,912,358,960,631,912,611,680,103,
649,828,540,033,007,366,899,940,680,746,936,247,618,567,410,792,710,535,458,
624,178,189,255,625,544,474,058,554,837,874,023,496,323,323,692,166,273,384,
840,145,869,255,987,820,858,799,278,962,192,275,835,137,139,992,603,230,006,
972,815,086,489,966,349,753,147,479,221,213,572,951,460,189,714,423,253,681,
797,279,204,063,545,163,579,387,728,829,907,017,181,448,580,371,727,089,349,
047,174,426,294,054,835,513,793,935,577,886,485,315,156,596,591,836,501,057,
918,589,181,686,578,919,510,495,937,668,127,252,656,277,220,215,972,260,187,
199,663,235,769,608,271,219,101,228,993,261,747,487,929,090,616,996,098,877,
130,458,656,839,840,782,379,541,758,441,948,844,792,323,005,516,954,237,841,
462,943,276,933,287,005,344,396,575,318,604,488,727,345,601,837,574,036,162,
467,042,542,553,908,031,028,647,785,228,862,159,135,950,492,757,226,526,400,
294,537,800,325,832,148,057,150,591,521,483,758,879,789,975,104,835,222,700,
617,701,473,144,733,085,447,808,210,777,240,576,192,525,066,198,434,300,898,
829,340,543,485,546,644,565,274,368,829,700,383,335,526,812,927,194,370,334,
146,916,112,498,632,817,375,104,752,181,560,059,974,277,151,168,576,829,128,
620,419,520,612,309,023,327,512,562,417,678,410,004,096,018,553,481,445,056,
926,725,831,290,254,106,297,923,205,182,130,341,149,167,245,966,914,150,040,
535,700,170,099,978,447,179,213,725,957,319,506,910,187,291,244,808,822,843,
890,661,181,543,862,311,239,274,313,124,206,789,931,588,086,327,795,240,523,
900,495,861,412,485,789,864,013,359,998,611,383,153,914,958,852,914,491,540,
167,444,752,553,196,352,568,713,151,765,376,513,496,588,497,074,354,694,711,
243,904,862,523,061,708,483,201,305,155,932,291,407,847,175,575,484,028,151,
435,975,581,039,514,082,851,264,485,908,406,164,947,658,401,029,524,195,204,
830,409,150,712,066,610,580,066,271,967,797,683,863,171,690,146,488,453,306,
087,516,240,917,306,206,207,941,450,018,598,201,130,577,731,983,923,182,013,
099,736,664,888,056,837,464,284,240,249,011,045,368,337,086,763,086,193,614,
493,781,594,653,033,251,368,341,287,290,672,434,359,824,770,374,757,101,456,
006,662,892,136,467,354,830,079,160,020,352,994,075,083,949,271,697,723,063,
007,994,427,810,553,341,814,976,881,684,793,333,508,820,611,792,864,164,421,
447,783,354,113,214,909,133,738,729,081,173,361,700,175,247,502,473,565,824,
558,648,654,183,229,086,466,127,694,206,052,343,978,740,142,920,201,527,103,
354,182,952,639,085,190,310,119,862,516,041,654,680,007,825,770,149,628,575,
794,422,271,832,362,329,802,118,631,613,071,416,342,714,938,310,537,268,563,
154,383,563,761,512,846,441,931,286,620,825,138,591,078,928,704,857,701,445,
509,658,936,575,178,983,127,977,437,895,933,696,644,323,844,451,013,042,749,
477,034,149,105,564,303,867,061,810,297,786,318,502,207,197,821,410,617,448,
398,797,067,126,539,603,281,803,453,779,000,227,196,495,420,392,725,325,222,
100,824,968,603,102,157,395,332,678,754,749,967,399,586,596,039,503,857,208,
094,345,301,635,819,992,906,956,357,392,167,522,042,336,103,683,149,129,339,
097,017,868,364,867,789,500,413,610,285,603,365,571,468,852,748,871,153,681,
042,299,316,654,147,310,655,495,066,598,638,685,022,371,406,300,671,287,384,
754,276,605,043,951,395,927,233,216,164,394,488,968,040,152,401,688,695,924,
554,867,370,452,210,246,422,311,721,079,302,994,823,803,100,630,318,990,991,
159,589,754,657,541,564,723,562,261,712,928,620,736,346,258,357,329,619,586,
827,008,896,909,890,388,189,717,869,185,900,924,658,800,639,754,223,792,071,
689,884,044,550,355,285,231,506,612,407,000,207,799,059,798,104,055,952,642,
593,745,431,664,648,128,205,980,823,441,075,610,089,947,641,707,276,820,545,
125,721,476,763,720,961,065,916,454,378,367,252,551,369,620,809,044,747,176,
707,657,468,408,455,905,286,551,146,466,204,919,545,525,342,123,694,912,082,
335,996,301,992,876,824,237,135,298,288,610,384,520,880,363,407,330,908,879,
355,765,255,368,909,733,605,526,669,890,459,225,954,693,197,618,401,391,090,
862,229,736,062,026,835,794,841,497,291,405,203,649,790,669,255,361,418,023,
282,698,915,563,753,720,463,897,792,276,518,889,964,602,932,067,542,581,347,
007,708,312,478,590,263,656,863,600,798,250,746,317,047,894,692,331,313,763,
271,493,501,483,211,673,415,361,367,822,579,016,422,422,757,727,819,042,774,
094,600,018,515,637,233,495,084,875,292,650,445,403,946,863,043,657,109,523,
282,255,167,556,235,254,644,378,735,496,003,553,854,803,072,975,854,953,633,
129,972,889,506,411,675,999,754,217,267,720,874,133,690,133,193,550,167,017,
579,207,608,629,592,935,511,217,581,799,349,912,362,172,218,080,458,114,993,
756,126,567,952,708,574,802,159,125,358,669,069,083,419,514,369,603,840,148,
312,233,125,311,017,192,022,420,031,774,312,901,768,428,519,652,010,249,154,
130,584,533,421,214,459,391,053,644,152,834,223,752,951,808,654,334,025,206,
091,834,208,551,709,573,110,945,257,674,138,168,264,291,783,490,029,944,181,
800,323,071,688,694,464,680,195,700,479,287,091,825,266,001,746,655,565,395,
607,984,361,384,142,963,897,500,304,265,977,318,729,410,004,481,040,431,915,
094,384,640,627,953,145,201,737,545,409,813,927,610,112,499,538,531,870,730,
618,659,571,035,273,971,987,154,131,631,087,085,655,040,020,321,374,572,320,
471,745,824,161,729,454,582,380,995,863,577,858,871,164,638,184,130,263,726,
448,435,498,404,207,748,069,786,066,312,749,282,320,188,326,554,262,800,286,
458,758,728,399,501,905,572,385,250,921,312,819,863,134,641,875,471,493,190,
547,645,401,777,274,689,359,247,485,756,261,640,597,688,934,799,451,804,608,
459,981,095,697,930,363,964,227,028,247,387,711,898,367,634,502,406,506,887,
024,114,005,241,371,375,579,335,916,737,471,238,338,103,289,733,118,138,476,
613,926,999,702,108,461,297,013,729,664,986,627,162,520,584,961,415,407,858,
861,610,116,097,339,450,833,617,304,024,348,581,577,884,877,720,583,764,524,
188,326,061,346,317,869,243,541,828,294,815,513,536,907,169,969,309,560,383,
453,199,114,213,982,947,553,982,124,215,039,216,533,658,674,281,792,148,808,
227,151,613,601,086,263,925,085,600,716,465,148,422,141,134,561,511,466,441,
843,862,664,183,949,966,624,472,729,450,396,391,422,181,257,169,183,487,896,
172,996,907,992,275,449,710,657,118,524,806,248,349,917,353,063,331,461,254,
206,056,024,584,157,006,801,655,464,117,637,840,976,196,252,246,389,554,040,
187,136,716,401,003,495,367,125,350,345,709,268,431,569,623,214,431,488,243,
629,869,210,974,836,633,830,214,489,100,022,316,821,569,669,950,082,880,538,
492,088,347,670,656,048,174,797,283,537,907,745,442,230,582,615,307,883,405,
736,084,557,063,039,967,292,831,986,919,942,017,247,105,139,175,751,152,155,
125,791,401,327,214,776,977,696,758,523,010,254,643,921,440,710,438,311,418,
000,014,469,053,415,877,141,328,068,167,487,072,401,601,814,134,127,408,499,
437,279,651,336,890,263,268,348,876,140,090,756,195,925,778,870,638,272,679,
347,078,108,585,712,596,565,179,819,156,803,462,761,477,327,758,618,636,372,
159,699,146,715,653,111,771,900,243,090,538,037,559,083,557,658,879,698,733,
938,370,993,777,565,913,761,224,240,837,434,781,145,766,532,452,077,446,090,
410,306,712,742,425,456,449,953,357,137,847,926,698,964,851,063,123,587,712,
963,380,278,562,022,715,636,777,114,963,979,159,519,044,380,366,780,170,151,
506,140,615,627,331,009,391,057,154,614,498,716,003,685,294,682,700,094,697,
559,922,540,128,804,551,149,935,644,033,042,536,065,172,833,566,494,170,605,
438,180,762,791,279,059,128,613,684,137,958,287,419,676,577,382,121,911,335,
754,766,113,232,601,234,235,928,144,241,307,607,082,442,811,195,452,924,554,
121,469,274,923,872,793,152,469,686,814,584,518,850,726,117,498,133,246,666,
787,872,068,679,254,068,879,772,627,302,070,152,315,094,666,573,261,063,985,
507,080,381,932,150,633,696,935,701,677,085,385,903,519,553,418,273,491,612,
825,050,849,616,611,707,428,434,945,930,809,671,243,184,511,576,033,846,733,
479,337,963,759,266,222,092,371,032,647,929,629,986,716,980,032,190,338,519,
879,119,666,642,382,831,985,308,197,106,632,891,554,135,761,308,490,260,371,
997,604,500,180,589,879,562,584,435,595,556,406,361,063,048,648,914,750,049,
381,245,953,770,424,499,499,089,574,434,451,056,385,204,828,727,212,279,239,
647,880,340,244,211,828,093,715,229,382,054,244,066,470,221,001,597,050,766,
527,040,902,069,674,250,834,541,861,293,042,436,401,517,226,572,911,602,342,
621,206,471,043,531,123,410,841,995,991,843,336,323,667,534,790,755,714,205,
967,261,077,504,418,267,864,328,841,116,432,234,802,712,206,964,598,341,614,
869,806,593,090,126,844,976,677,195,926,397,667,453,610,312,891,557,682,463,
709,783,160,825,269,517,873,073,575,467,138,484,960,642,595,933,822,963,186,
768,405,948,597,343,003,751,823,541,221,496,065,681,172,906,440,589,719,709,
857,252,223,267,979,798,823,809,579,727,264,420,940,987,749,437,550,068,797,
299,917,623,331,431,884,957,005,367,200,684,218,608,063,702,344,103,381,814,
642,837,716,861,028,734,469,762,616,733,751,896,143,567,056,219,877,819,530,
679,530,938,715,836,297,522,255,130,103,471,616,144,783,518,562,421,910,997,
283,771,901,892,000,772,235,012,453,364,385,200,837,886,118,880,075,352,330,
051,433,022,390,039,152,704,370,354,939,064,081,703,974,882,331,763,845,997,
844,867,602,902,850,748,187,317,947,901,086,295,293,109,705,882,938,909,326,
351,286,992,622,227,603,058,060,704,691,779,004,510,200,973,993,929,689,353,
507,381,631,617,755,816,529,206,646,275,903,228,357,966,513,673,313,356,353,
943,130,583,251,359,313,433,968,532,729,634,178,689,094,349,878,544,204,648,
891,858,860,127,088,412,785,077,156,182,563,648,719,269,530,459,977,551,204,
336,942,897,011,062,242,060,087,393,532,778,561,387,779,747,625,950,105,280,
635,117,353,453,457,565,355,777,022,807,196,424,090,099,045,400,878,925,648,
251,023,230,130,200,583,448,637,201,113,371,678,536,007,214,964,738,064,901,
226,539,195,387,236,753,592,010,336,224,095,586,165,138,759,025,203,123,727,
684,978,437,385,851,206,682,854,650,395,778,218,548,586,394,893,867,154,415,
861,568,511,844,008,961,591,237,931,106,601,513,340,199,121,147,745,706,067,
234,299,410,686,745,672,066,892,450,840,058,744,531,911,796,976,090,872,836,
106,445,181,609,085,659,723,832,079,309,716,767,658,945,145,217,340,599,227,
317,194,345,003,464,354,464,069,206,092,235,587,600,424,307,646,879,917,263,
313,484,560,422,332,472,798,807,422,811,666,300,745,914,170,233,400,555,830,
787,926,415,747,994,700,276,794,046,999,660,474,368,134,618,213,157,180,116,
247,035,015,983,807,142,755,294,176,379,945,662,237,878,546,021,225,577,891,
215,630,192,700,262,277,422,456,493,280,238,899,315,059,896,861,412,442,801,
272,087,989,763,326,932,910,126,758,129,650,676,622,589,899,229,488,949,035,
454,461,020,598,490,900,557,122,401,640,093,826,849,990,096,083,908,188,761,
866,737,913,106,175,150,532,456,403,795,166,598,244,458,581,889,024,327,756,
631,174,438,849,779,759,479,590,130,136,367,633,435,690,402,071,392,347,614,
007,728,499,243,125,602,042,401,315,421,121,465,325,262,788,133,344,251,800,
480,295,288,575,270,165,751,117,515,595,105,541,148,736,035,386,550,604,514,
885,331,570,638,902,886,485,900,488,041,830,267,820,292,590,591,896,254,171,
594,447,672,771,395,652,944,440,604,271,618,053,121,238,231,670,674,006,864,
382,987,600,757,013,432,108,812,004,617,802,199,342,376,816,557,561,477,690,
890,760,250,543,335,217,359,254,049,046,234,666,073,031,070,485,295,654,118,
856,076,403,090,376,866,104,131,821,670,576,000,642,997,670,054,113,647,171,
770,875,227,489,287,383,678,721,887,314,473,641,767,547,157,785,296,181,571,
609,113,316,532,288,841,237,418,278,333,755,142,524,615,889,175,302,010,665,
199,464,235,966,954,749,131,751,053,025,528,898,414,896,237,701,506,725,486,
534,492,881,651,803,349,489,652,130,449,452,407,818,745,374,179,467,437,238,
437,613,608,037,483,174,560,040,237,394,956,083,393,567,415,072,388,724,525,
545,359,016,584,208,331,242,766,383,498,615,087,362,958,510,774,887,174,891,
281,304,305,433,240,148,424,430,865,827,745,723,197,806,676,805,054,220,038,
472,252,573,768,851,987,999,522,338,667,090,706,227,932,674,441,516,553,504,
407,504,397,951,797,555,600,785,025,357,813,611,465,984,930,529,909,384,681,
747,315,712,735,262,221,552,035,961,442,971,364,287,198,326,103,686,149,848,
014,268,304,043,350,834,276,444,008,566,150,695,815,515,012,146,572,888,952,
420,001,473,873,063,024,462,801,758,500,053,677,761,818,042,746,166,362,486,
902,425,964,885,507,241,434,423,644,427,521,123,971,660,801,130,851,660,977,
096,565,824,430,278,130,225,663,800,237,610,994,910,495,787,649,472,231,243,
993,518,327,472,442,032,623,298,673,222,936,911,967,562,080,958,178,191,088,
323,862,465,513,098,898,616,820,354,080,385,023,254,123,489,191,202,554,077,
076,642,692,058,988,000,283,174,095,635,038,059,196,543,671,675,121,754,579,
043,124,322,453,642,491,833,578,314,701,199,919,658,049,779,323,519,314,597,
376,633,258,350,122,160,823,600,299,010,903,914,306,367,159,011,977,250,907,
752,227,756,745,749,048,086,289,635,082,956,954,886,486,173,877,239,320,127,
842,539,315,361,826,523,412,270,820,091,016,313,489,652,328,335,797,058,458,
349,233,912,471,248,626,181,366,739,031,615,075,070,190,353,620,210,440,557,
776,210,951,038,865,431,356,505,127,247,306,394,597,455,612,253,186,706,324,
472,209,855,761,813,685,564,713,023,705,132,052,412,125,884,784,193,431,461,
670,830,620,965,455,437,282,773,488,191,013,346,844,511,861,292,841,727,047,
168,893,962,083,302,976,484,167,809,476,801,486,194,010,981,689,726,849,785,
822,846,315,774,509,273,763,783,367,998,389,911,626,721,944,448,518,805,702,
376,966,254,244,793,822,770,778,452,762,651,138,167,573,266,534,127,238,919,
411,339,045,614,471,467,423,519,822,656,099,217,552,184,466,662,565,229,935,
672,119,400,557,766,367,305,622,254,032,258,894,406,484,799,773,412,109,290,
707,367,150,341,133,247,720,181,784,603,236,806,773,023,959,181,126,317,174,
031,426,310,278,032,817,850,015,711,002,631,934,489,368,230,394,248,343,141,
630,665,357,605,833,200,538,311,430,240,966,950,696,834,411,196,829,708,253,
954,794,033,528,794,103,496,150,331,162,985,169,434,518,893,450,101,244,341,
672,227,408,423,210,829,444,397,526,406,008,211,363,025,507,401,645,591,458,
498,643,376,106,086,875,637,496,966,152,178,174,961,028,820,463,647,323,879,
214,255,117,062,094,660,520,917,832,677,897,111,194,458,032,764,180,519,950,
295,486,393,704,625,950,514,248,254,762,456,365,263,148,950,248,506,791,697,
888,946,273,198,547,655,916,600,857,357,837,471,587,899,761,768,075,208,168,
287,093,477,223,874,031,963,435,873,004,719,996,102,369,613,971,548,644,394,
992,135,942,468,630,504,440,601,986,700,087,981,238,207,749,653,045,356,229,
185,442,977,703,679,746,621,299,039,455,172,622,763,676,453,658,686,249,431,
902,280,648,081,070,286,921,832,163,978,588,154,342,201,043,966,847,045,345,
948,621,529,864,569,328,442,370,086,617,844,009,459,753,118,164,211,073,349,
507,854,420,309,765,402,498,533,556,445,385,260,448,348,714,566,908,537,618,
886,070,408,713,718,477,357,761,531,432,577,061,453,878,306,992,177,162,496,
861,359,919,715,629,825,408,864,890,886,825,429,979,343,153,681,449,338,148,
326,966,857,850,908,166,533,771,035,300,258,062,468,168,482,634,031,202,285,
971,173,341,622,052,819,631,247,463,183,264,397,416,380,985,826,401,536,562,
852,683,210,489,761,793,260,136,237,868,280,117,296,589,152,120,747,550,065,
670,514,997,251,531,912,240,236,016,463,118,820,526,950,822,119,596,954,788,
355,666,912,937,254,600,459,074,363,504,774,995,547,068,187,261,215,113,577,
385,978,020,813,693,070,271,382,387,221,394,431,954,356,976,723,001,530,064,
901,354,180,056,560,023,110,160,188,518,703,335,547,234,743,121,475,920,811,
495,876,418,178,033,879,014,568,361,462,254,492,161,005,022,706,242,522,682,
988,687,635,503,442,418,398,374,001,016,081,433,283,116,627,947,841,336,117,
029,290,698,992,406,451,159,851,790,901,936,082,672,570,172,252,729,641,556,
594,410,873,037,988,803,105,501,577,682,360,131,142,901,311,334,549,680,835,
404,170,892,429,940,583,974,620,853,062,960,337,066,426,646,494,201,864,723,
858,838,527,368,443,026,808,331,710,214,120,472,436,839,220,251,553,140,826,
873,058,697,517,959,901,636,709,250,523,242,936,470,611,742,066,361,078,643,
720,473,286,856,874,947,392,749,311,463,402,464,615,926,845,566,922,529,486,
897,563,817,311,795,382,719,156,868,870,047,395,068,036,588,757,009,334,977,
243,292,415,181,815,398,337,662,154,664,678,315,163,064,336,346,917,907,160,
586,730,178,182,797,669,787,020,038,752,337,347,404,835,078,181,128,013,843,
676,174,659,485,786,237,186,964,569,758,911,359,672,735,480,825,257,872,115,
508,860,673,618,602,546,496,505,944,333,526,361,933,208,235,141,564,802,018,
383,872,584,894,014,034,777,618,412,039,730,431,940,999,581,812,867,807,495,
927,612,785,720,467,893,283,656,648,961,668,017,294,682,173,529,556,066,455,
300,460,598,856,867,847,074,210,619,971,855,118,165,454,090,068,688,115,349,
574,348,287,706,905,576,596,922,075,347,449,833,288,240,533,443,065,736,327,
311,977,458,521,178,491,291,126,063,745,175,223,354,511,937,717,640,158,591,
018,151,025,784,469,228,133,821,984,440,267,129,922,145,127,918,421,230,198,
697,105,264,958,133,473,866,883,671,632,693,075,586,791,047,678,737,111,215,
381,901,908,311,270,064,062,007,790,974,517,162,116,493,505,493,231,135,042,
959,872,183,383,780,830,629,274,568,757,199,066,018,359,495,028,255,134,653,
499,628,940,242,141,703,018,242,643,737,037,947,532,484,199,638,870,781,578,
535,009,736,559,043,739,857,150,790,039,315,316,040,199,245,947,342,185,370,
784,206,183,420,340,072,002,160,580,797,756,007,705,958,401,378,667,882,628,
468,798,652,980,414,067,617,490,062,965,788,257,096,850,524,492,363,211,919,
186,605,362,435,008,754,339,721,440,364,688,253,479,247,287,771,064,582,778,
511,240,887,596,138,231,254,967,536,910,591,847,905,486,290,121,700,602,568,
489,076,065,394,575,744,867,948,431,472,888,021,211,312,249,859,516,029,453,
915,302,482,445,777,270,253,334,931,436,876,745,579,487,030,195,341,219,726,
733,431,462,302,327,395,047,396,067,048,329,141,594,180,664,496,874,738,989,
036,894,692,365,735,608,191,811,310,750,841,457,092,609,256,141,256,012,208,
995,156,605,085,327,987,754,975,306,050,472,897,008,079,985,994,491,124,876,
338,467,537,411,993,204,652,320,696,873,672,391,175,706,939,173,453,105,017,
508,679,802,582,677,625,184,219,118,614,946,818,137,931,361,458,713,945,271,
097,129,235,902,766,259,289,495,920,685,896,259,584,944,725,322,796,869,453,
497,669,242,371,652,185,120,090,189,671,064,386,155,673,922,636,060,317,642,
764,287,451,945,046,623,228,353,095,034,398,263,891,779,588,044,548,678,254,
573,129,226,174,177,374,160,469,810,017,156,767,896,508,789,201,454,846,561,
360,329,832,892,797,874,413,180,763,770,918,909,863,035,625,590,444,304,741,
646,526,841,930,997,622,592,332,890,763,030,979,448,205,511,440,714,775,404,
369,713,156,532,413,210,734,863,982,882,583,950,522,082,815,848,980,145,467,
527,598,560,071,125,247,920,720,702,942,675,877,624,713,268,705,558,960,479,
142,078,125,187,252,269,192,954,533,703,723,968,150,452,889,209,214,489,389,
105,361,971,026,828,582,705,443,859,648,424,870,347,128,007,457,631,199,876,
269,805,934,319,524,201,305,848,969,738,808,943,626,264,167,263,903,750,171,
993,577,869,905,026,283,056,767,488,117,423,200,739,975,647,547,625,017,524,
533,458,808,393,275,340,477,813,682,747,820,964,532,058,333,463,592,384,163,
448,264,922,732,639,869,938,556,271,756,408,224,704,645,802,275,004,354,575,
694,484,284,202,144,467,703,117,633,224,894,417,810,182,598,719,274,051,688,
365,432,742,744,369,549,565,847,833,108,852,379,536,636,334,776,276,224,669,
996,102,679,398,219,494,956,465,603,969,302,198,932,240,241,106,452,019,538,
839,272,978,895,876,496,743,418,165,187,473,484,794,582,699,165,612,112,339,
422,202,255,768,594,442,482,411,776,035,801,976,290,472,129,548,205,632,450,
818,233,445,124,068,425,361,495,292,881,397,029,101,626,524,254,693,768,565,
019,579,321,320,660,495,912,144,229,900,019,198,808,867,416,142,750,950,507,
634,030,837,121,220,491,807,910,231,786,997,290,169,381,214,831,674,400,618,
762,589,304,669,061,645,617,280,059,633,551,859,576,854,165,385,029,752,179,
557,719,034,516,643,189,391,730,285,489,186,645,360,135,636,195,974,800,823,
252,934,954,857,303,914,615,114,732,317,251,077,844,816,969,754,844,727,875,
883,943,103,668,493,962,547,729,513,350,501,107,275,227,880,906,483,866,744,
777,102,885,861,884,163,858,256,127,034,320,059,672,989,764,064,184,801,235,
529,831,512,367,311,759,783,739,396,075,065,650,821,166,251,352,888,679,101,
687,624,718,804,304,559,612,656,772,707,995,882,209,272,887,055,070,108,894,
814,261,288,281,847,574,051,868,259,895,739,901,647,019,509,664,261,480,109,
228,532,894,823,616,086,997,429,476,901,661,451,063,918,531,963,427,332,784,
194,528,724,335,416,180,062,232,605,141,426,022,383,782,221,547,872,203,281,
815,258,570,567,256,658,746,093,635,285,912,485,768,332,275,814,258,622,490,
144,023,143,406,846,335,411,969,654,243,285,725,253,200,397,461,699,481,706,
507,402,119,048,793,875,536,726,792,318,546,470,945,694,191,126,466,617,867,
031,905,745,726,096,258,070,154,281,673,453,944,660,460,628,377,189,494,301,
262,429,250,838,070,601,066,547,160,016,505,310,572,261,048,465,384,258,918,
656,033,627,057,531,842,188,169,362,187,303,015,331,040,064,718,523,985,807,
846,878,229,751,409,705,351,067,454,902,183,427,301,652,139,590,298,749,438,
189,659,081,233,169,012,338,520,458,164,069,449,856,391,134,471,055,568,194,
248,014,531,806,262,587,745,566,256,006,992,502,058,939,797,123,771,457,057,
311,845,209,502,109,717,082,733,978,864,041,884,238,361,671,710,601,669,007,
449,353,574,720,503,742,264,957,715,074,076,360,608,775,252,341,787,348,686,
397,518,958,967,135,053,467,913,280,922,541,860,286,779,303,483,813,259,335,
854,259,703,244,572,520,208,478,371,880,750,855,435,156,969,617,161,887,219,
780,161,337,452,256,133,833,157,576,456,778,978,935,554,051,801,391,565,002,
282,448,702,523,756,359,348,206,330,700,405,530,322,769,239,470,937,068,112,
779,258,332,488,904,040,389,469,930,568,642,207,764,976,361,399,549,970,588,
830,951,438,022,954,481,389,066,539,121,499,790,070,500,671,655,355,582,283,
206,956,727,255,821,881,199,757,103,988,410,758,103,856,247,139,842,573,508,
276,660,592,658,665,210,281,319,504,031,374,331,999,568,879,503,896,495,125,
302,193,442,807,513,584,662,161,153,495,017,498,077,129,176,587,251,405,048,
812,359,154,031,434,686,097,140,138,749,080,556,820,288,017,810,595,835,541,
969,823,626,566,624,541,362,662,175,401,660,563,611,905,919,184,939,538,603,
955,689,955,715,270,207,026,636,096,844,764,900,408,520,764,409,145,322,073,
342,418,714,000,584,072,220,601,815,880,160,300,409,671,894,684,848,867,797,
400,688,566,872,931,177,733,736,120,017,293,103,910,726,425,643,822,753,568,
702,720,173,204,676,578,028,716,890,309,177,112,587,379,943,756,778,097,389,
572,467,704,125,308,604,988,300,198,984,150,994,672,442,616,216,555,832,232,
511,158,735,386,070,598,941,597,951,167,901,712,501,476,859,196,065,305,199,
738,735,294,075,448,340,906,797,826,676,569,448,247,070,981,517,903,082,353,
497,779,099,180,415,368,583,552,915,745,240,356,765,508,356,411,959,958,252,
305,618,650,025,912,134,666,997,392,467,864,560,767,430,855,355,477,184,669,
248,373,689,406,321,278,466,610,506,275,519,269,408,896,118,788,113,295,407,
972,965,625,169,420,707,910,612,979,605,157,653,628,599,058,679,385,196,376,
546,583,240,927,945,304,246,424,756,670,782,123,941,770,224,692,014,519,192,
330,621,280,371,825,237,698,496,842,527,405,863,585,282,636,168,187,467,032,
485,388,980,363,346,332,424,521,919,871,136,014,075,019,432,383,147,730,906,
543,919,127,217,409,283,737,715,911,829,506,638,839,851,579,119,804,491,135,
675,352,251,890,574,818,008,436,058,329,789,156,937,148,933,547,487,833,429,
342,789,474,067,085,565,512,508,759,431,579,164,138,625,122,802,153,628,903,
914,867,029,817,782,505,047,589,585,564,421,658,574,605,251,343,919,678,950,
248,297,196,229,503,075,636,209,884,493,454,410,877,344,573,888,161,567,233,
198,819,997,475,038,413,861,338,828,386,200,529,864,809,605,369,835,309,343,
968,420,899,029,254,649,933,094,799,467,307,538,779,693,046,813,464,312,204,
716,014,378,751,629,044,740,676,015,017,417,627,325,691,456,636,584,095,153,
942,823,227,505,873,713,806,086,011,349,885,517,505,699,163,432,353,202,689,
835,375,585,038,189,329,190,993,946,545,344,095,387,971,388,460,203,101,570,
587,947,970,590,479,291,527,407,113,507,866,617,042,592,125,314,088,674,465,
218,362,163,858,489,015,115,669,049,033,171,919,754,691,322,148,086,274,803,
077,060,592,172,821,142,174,314,166,192,728,964,313,312,228,501,412,893,138,
785,550,790,771,072,652,453,663,684,648,707,221,828,770,565,193,179,891,329,
289,605,058,340,582,173,817,480,773,521,868,256,580,459,844,806,552,199,281,
928,883,536,184,614,556,098,165,562,350,180,038,388,705,911,507,036,569,863,
987,631,351,365,852,193,256,408,000,570,059,629,148,340,705,557,748,528,795,
446,846,009,250,019,962,400,988,595,391,101,818,678,305,536,505,333,395,993,
202,743,533,625,041,654,703,585,221,215,347,410,847,071,573,280,695,651,327,
653,153,857,784,226,287,039,197,759,552,381,775,370,887,915,391,065,895,327,
034,465,641,806,416,554,135,905,243,287,161,421,002,924,683,285,969,096,880,
661,200,126,013,640,224,989,129,760,621,224,231,393,434,419,626,859,528,256,
903,896,083,017,792,515,381,849,232,079,867,201,390,167,739,246,761,563,855,
260,866,874,966,320,582,396,064,273,566,733,943,120,148,482,436,097,770,513,
004,897,935,063,176,368,591,063,516,969,658,856,901,587,491,913,782,012,610,
157,756,434,336,572,573,123,137,913,325,733,865,518,102,736,273,790,768,304,
339,873,464,309,229,916,146,995,511,458,914,304,518,314,113,753,427,050,432,
630,048,011,446,913,177,608,666,344,379,391,532,006,422,621,146,610,835,704,
515,111,444,977,941,312,375,514,040,574,413,634,486,267,988,924,877,727,861,
881,340,595,520,171,633,978,811,029,251,776,415,286,454,020,055,575,005,510,
961,478,363,569,399,807,516,113,084,782,513,954,983,892,773,219,650,766,300,
708,309,581,777,600,969,058,161,306,207,690,395,701,103,780,256,647,691,810,
752,871,373,048,224,861,594,334,356,475,262,949,994,664,675,143,724,096,660,
514,814,512,606,159,980,260,325,197,261,976,682,981,971,664,453,303,898,152,
415,769,958,376,721,569,598,195,984,502,882,013,426,841,179,085,426,759,368,
873,049,135,722,264,597,724,754,993,818,713,871,742,121,733,901,505,100,167,
824,835,679,030,116,628,971,427,760,960,997,355,639,274,726,364,518,168,439,
416,779,201,623,801,193,301,683,241,005,200,566,007,816,219,510,941,709,544,
329,001,300,413,821,694,896,399,800,911,103,175,755,733,906,356,424,247,543,
107,682,348,805,129,611,390,901,117,533,746,456,713,990,023,684,551,922,893,
624,898,001,202,297,324,552,277,376,482,550,653,375,325,034,222,618,433,712,
552,734,089,689,327,411,457,598,158,409,239,756,708,416,068,173,523,140,412,
573,472,139,414,680,726,799,664,995,705,284,565,698,988,966,848,066,171,599,
361,451,077,967,252,183,249,977,852,852,014,851,308,301,722,660,792,479,832,
898,869,610,682,334,564,626,727,971,536,896,022,976,339,246,546,556,639,151,
027,283,095,730,753,056,185,653,746,729,501,322,857,841,130,613,684,244,568,
486,923,639,329,900,651,671,200,248,693,918,762,624,254,231,720,526,149,915,
069,945,353,749,568,352,785,020,578,111,849,942,173,082,644,150,972,865,413,
789,612,445,604,796,797,712,775,870,067,444,706,782,581,867,847,239,401,153,
658,294,859,387,876,315,695,941,108,474,929,958,697,903,559,352,034,022,300,
851,817,882,501,614,675,644,362,994,820,081,907,344,676,974,964,424,733,070,
816,670,535,308,768,361,528,681,479,066,292,142,276,925,397,894,585,858,623,
132,894,613,159,748,180,657,085,825,149,599,265,836,067,443,115,314,429,247,
965,596,453,265,454,646,945,605,353,500,771,487,217,532,736,907,451,535,910,
073,697,470,998,474,907,994,433,548,552,143,820,518,961,805,189,159,730,471,
435,208,881,263,149,121,096,870,359,847,590,750,652,097,217,204,570,817,374,
870,534,299,210,000,235,718,040,424,488,334,536,533,966,350,447,647,303,119,
834,008,576,722,481,209,779,249,986,155,193,927,816,090,567,565,568,600,530,
338,036,635,572,169,418,226,530,017,521,798,151,554,953,397,509,581,707,167,
522,712,845,673,538,037,535,031,800,951,379,951,610,848,328,247,114,789,206,
537,746,582,562,481,268,880,333,169,201,986,418,028,558,986,434,157,195,594,
546,335,554,966,280,200,918,326,638,478,029,255,844,682,844,612,337,797,574,
712,673,718,846,735,130,768,659,693,279,882,631,997,176,300,880,006,706,893,
616,596,400,165,712,457,304,255,933,984,222,891,434,190,397,462,653,578,606,
754,339,568,877,781,294,846,118,029,711,936,240,316,981,648,830,042,517,990,
633,517,346,659,213,442,238,807,921,925,587,581,853,277,458,125,895,564,372,
019,922,323,594,191,008,941,137,708,390,346,105,048,551,119,140,964,687,517,
753,290,533,028,737,887,169,895,708,303,820,569,739,185,159,401,711,060,849,
917,287,024,208,182,402,721,970,994,828,507,458,226,401,582,967,355,553,208,
097,128,767,630,243,758,685,016,729,364,678,591,902,708,101,445,076,744,893,
738,790,667,827,439,128,014,270,065,817,875,331,538,251,203,499,733,321,761,
861,186,999,547,958,687,006,439,584,968,263,970,152,081,906,267,148,330,145,
595,181,229,648,982,762,862,443,454,021,506,603,824,993,392,597,211,230,548,
302,350,220,336,923,580,426,096,848,582,023,598,909,209,735,479,051,609,922,
327,197,118,504,516,261,642,175,794,412,012,579,095,601,943,739,927,642,210,
173,639,826,580,161,854,351,486,998,893,296,787,916,679,900,912,556,257,876,
965,434,545,348,184,613,851,492,742,858,058,941,850,495,034,237,652,370,729,
289,096,865,319,477,954,613,933,794,867,938,650,484,746,107,462,028,170,799,
730,553,758,656,754,560,472,073,226,248,633,142,662,793,503,808,656,817,986,
293,836,784,513,808,139,388,483,045,658,848,710,117,224,754,847,453,362,507,
049,961,576,387,015,056,860,807,360,348,886,133,157,969,156,453,554,199,652,
297,090,277,506,123,760,398,943,662,518,815,621,159,122,549,909,038,251,671,
014,040,024,893,555,325,943,453,135,877,530,290,713,448,646,395,031,620,187,
711,828,722,397,525,126,726,680,526,228,216,577,832,167,387,076,949,249,448,
483,145,566,955,645,880,894,522,425,020,052,241,583,401,483,744,430,486,589,
905,617,176,248,195,641,873,033,993,977,482,067,325,055,257,139,187,260,752,
723,231,085,266,776,872,227,646,025,070,713,233,137,610,448,356,202,395,681,
679,525,365,498,481,315,902,652,519,801,985,841,383,935,027,040,502,834,123,
600,519,218,172,921,804,169,683,893,413,779,082,322,972,984,445,672,870,658,
459,873,292,044,286,069,278,411,630,582,016,138,214,119,730,922,874,940,567,
816,836,026,585,423,935,002,976,552,934,266,181,468,879,849,385,156,338,450,
089,897,290,145,663,963,180,153,889,580,515,747,934,673,265,642,981,444,365,
419,179,768,115,694,399,109,847,487,146,408,294,868,386,619,711,535,498,125,
202,370,738,224,791,251,860,058,348,328,099,591,359,425,222,645,912,751,866,
132,161,337,284,000,209,272,995,830,838,728,502,529,715,905,825,319,219,988,
629,002,305,112,734,744,058,456,873,467,271,835,796,252,715,012,859,002,177,
907,650,476,042,380,399,504,303,411,725,010,095,775,183,069,534,934,814,125,
233,278,319,259,784,521,606,486,266,136,735,245,034,677,765,272,610,814,192,
803,379,760,180,460,623,011,754,507,722,641,702,404,937,344,714,633,246,202,
482,162,850,406,064,944,566,476,364,541,187,086,195,267,788,430,883,031,052,
796,566,700,242,268,375,182,524,232,969,444,840,248,481,590,889,514,283,721,
409,597,481,289,494,494,559,968,136,442,018,782,730,916,032,174,540,078,360,
990,505,074,913,818,039,616,123,759,496,177,085,655,952,025,375,713,000,158,
173,359,778,043,689,293,700,349,990,995,357,305,406,053,903,336,700,252,624,
799,063,079,754,901,286,958,205,376,015,868,561,287,249,378,381,821,585,522,
924,059,472,306,693,452,595,439,689,394,422,013,608,904,830,030,834,425,868,
994,385,608,619,432,130,889,295,224,206,742,013,806,625,528,515,060,993,244,
279,782,855,684,731,448,573,190,856,029,462,723,976,700,302,651,366,181,806,
574,484,558,654,406,948,122,555,844,040,182,125,570,919,515,985,265,269,089,
115,301,660,735,690,626,239,486,986,253,932,545,526,032,186,595,669,061,305,
144,390,463,665,572,256,789,082,606,872,524,537,755,787,136,913,060,557,593,
802,005,279,705,453,953,913,097,691,671,927,450,458,694,736,145,583,789,856,
077,246,912,770,131,994,321,287,358,213,298,691,493,322,453,337,521,981,837,
534,504,345,932,729,648,997,424,191,393,071,717,176,938,795,045,972,596,794,
554,651,455,886,875,035,085,749,356,598,649,333,183,597,395,314,486,902,331,
841,365,048,122,019,012,955,156,103,214,011,325,967,357,167,720,729,452,590,
219,480,086,783,793,295,284,371,689,014,657,099,377,294,258,717,782,205,085,
362,631,295,593,360,025,363,176,046,685,054,890,988,229,619,675,396,544,218,
985,112,713,699,749,458,268,755,165,529,105,978,181,077,300,019,500,524,203,
874,421,134,629,273,045,377,398,796,374,371,148,699,661,083,575,877,386,259,
436,594,248,957,710,568,177,202,358,931,604,094,113,397,892,329,397,309,171,
657,928,696,399,443,563,304,125,114,855,989,317,574,248,222,982,444,070,852,
093,558,970,826,527,028,838,994,867,685,839,991,757,567,329,962,881,849,193,
583,309,670,873,746,956,362,377,510,066,955,709,458,565,986,297,703,820,730,
440,360,617,614,366,044,468,297,450,742,651,038,924,079,143,349,545,760,078,
029,038,222,983,510,727,823,082,692,284,718,326,881,174,127,115,454,136,838,
000,736,022,240,371,313,150,750,770,984,620,692,485,929,942,541,556,203,044,
193,435,637,549,908,075,056,876,539,097,200,689,184,423,545,386,119,066,576,
245,331,358,154,988,727,428,073,244,450,013,410,579,350,312,993,986,030,574,
391,206,556,149,238,734,600,626,630,574,600,343,616,530,470,030,864,136,424,
459,264,182,007,923,454,252,108,670,634,746,613,493,495,302,858,958,873,167,
325,093,467,504,086,722,135,073,935,357,447,694,809,869,421,838,905,822,758,
310,364,998,185,851,018,905,114,007,137,479,439,502,445,055,748,494,864,652,
700,054,531,526,732,088,302,854,888,577,666,198,561,099,509,629,312,529,581,
123,100,227,579,859,196,916,181,436,710,426,710,136,686,305,325,255,195,270,
814,963,984,275,436,638,226,334,275,537,620,757,528,337,107,281,521,578,479,
439,790,329,707,734,739,854,534,686,009,536,563,681,132,175,714,194,384,662,
410,251,780,787,609,550,586,145,343,069,065,593,238,297,414,946,277,052,024,
172,614,330,905,723,266,011,288,467,438,542,359,480,993,231,991,856,693,661,
503,653,286,983,660,660,045,388,015,375,294,598,022,357,732,293,550,169,449,
444,384,784,391,569,280,721,366,654,948,559,202,451,720,160,329,411,512,287,
529,126,775,070,877,597,865,026,507,705,282,451,821,300,894,594,342,184,628,
218,812,758,942,107,995,299,519,206,093,597,030,235,177,600,992,410,593,159,
271,157,958,218,795,604,586,604,564,144,389,045,547,070,468,614,261,700,332,
036,569,687,676,517,547,950,032,641,218,750,988,019,783,711,801,439,347,070,
822,142,738,110,222,060,369,026,687,830,001,217,429,969,575,733,097,785,415,
686,513,767,735,060,266,569,504,851,337,749,466,943,992,532,794,298,778,329,
865,119,739,719,918,410,663,800,713,988,283,596,592,401,155,913,810,730,544,
942,942,409,966,216,493,167,059,864,447,857,169,236,161,628,622,229,856,902,
305,234,695,743,788,362,776,460,582,771,481,277,243,539,376,506,903,635,947,
438,023,133,223,589,339,177,099,310,169,420,588,706,282,747,883,526,871,192,
613,480,170,207,958,842,255,833,984,003,439,501,057,663,738,952,935,457,415,
925,576,437,465,274,978,512,200,846,698,777,454,081,046,561,904,110,977,876,
902,368,578,648,994,857,353,280,913,995,655,640,107,410,032,750,590,959,083,
616,632,141,679,187,380,535,574,368,372,534,265,285,442,246,578,010,095,991,
966,889,542,650,578,476,244,642,249,035,840,131,821,929,363,114,906,815,208,
780,580,829,770,849,942,874,829,486,372,886,736,846,439,843,848,843,121,773,
279,486,523,461,779,190,288,704,202,428,855,094,321,358,839,377,131,180,776,
920,787,960,808,359,877,482,791,051,847,337,417,652,959,710,353,798,271,553,
346,866,426,027,992,433,745,271,112,952,724,694,727,859,911,677,333,664,696,
873,069,608,358,453,430,894,897,903,128,574,118,150,638,737,653,048,423,564,
454,192,676,679,320,518,475,179,790,759,675,135,758,823,565,740,630,227,637,
603,951,528,505,296,011,816,429,831,443,003,838,949,853,244,282,000,277,447,
846,755,051,498,405,366,009,396,394,367,707,377,388,777,536,058,561,996,738,
477,748,117,766,755,025,022,311,229,427,506,202,332,040,511,707,851,946,956,
409,649,191,345,370,724,243,244,763,967,432,833,512,907,325,890,538,417,010,
668,019,363,104,002,994,507,149,717,703,911,074,595,718,627,721,331,038,778,
820,088,323,863,132,878,502,629,445,052,305,788,528,729,793,027,363,610,540,
115,094,070,408,706,188,441,757,160,578,727,021,329,274,686,802,641,519,817,
309,548,608,273,017,387,399,486,169,357,972,424,551,771,040,240,495,111,147,
722,812,782,493,496,688,663,952,356,968,062,135,291,129,786,375,981,773,730,
173,711,509,016,925,381,608,140,807,165,227,578,932,679,881,752,315,826,013,
953,456,696,149,347,943,582,563,287,411,566,404,295,592,037,676,594,731,505,
440,174,803,399,720,722,694,912,575,462,532,304,884,702,764,697,670,301,679,
851,378,688,944,914,939,325,322,128,289,697,732,348,952,342,560,444,371,472,
646,064,908,954,458,812,865,326,768,716,812,000,405,571,931,173,731,626,500,
498,061,233,187,260,216,992,216,440,945,273,240,497,170,722,723,562,436,173,
902,807,277,671,941,877,957,690,498,174,641,655,782,993,344,159,069,298,155,
781,815,297,678,686,184,642,528,234,881,934,520,491,500,712,136,282,414,270,
350,404,151,454,216,868,927,208,777,655,149,873,774,552,014,749,297,661,422,
982,311,126,676,030,635,049,401,832,800,622,142,645,314,231,310,301,929,760,
486,255,514,028,780,010,898,483,172,639,493,956,422,510,170,887,897,407,256,
579,515,268,025,318,717,589,363,922,945,209,946,203,329,180,006,492,705,178,
401,670,766,146,519,560,204,553,573,627,627,461,473,567,858,776,217,608,658,
934,102,707,927,367,566,635,153,848,611,419,439,814,856,991,339,002,532,922,
199,597,044,201,918,776,130,740,968,129,357,847,472,817,307,256,815,122,401,
488,581,402,298,288,422,564,387,866,426,657,524,048,781,273,527,525,650,548,
228,749,104,110,318,399,567,718,535,247,779,828,013,637,809,268,959,051,821,
070,519,469,475,589,776,781,837,684,114,469,019,192,594,003,547,844,844,404,
299,505,562,545,307,848,332,377,605,755,916,058,997,243,319,131,372,654,313,
823,071,268,396,586,324,672,048,759,147,616,470,255,010,577,033,337,885,916,
861,439,751,653,022,567,329,686,451,038,582,910,785,378,510,946,316,632,645,
284,507,939,011,524,334,512,241,248,891,666,079,564,513,011,114,708,578,649,
733,794,474,157,780,003,932,043,427,451,117,737,016,885,883,240,912,928,314,
622,037,236,621,769,488,036,699,014,316,021,281,448,895,671,130,246,306,176,
750,724,288,940,868,817,771,844,159,522,110,114,401,964,301,435,955,196,909,
838,926,497,711,602,604,119,809,495,852,604,679,228,861,388,836,060,412,766,
129,021,040,818,969,803,072,355,783,234,265,128,106,217,699,491,935,654,500,
234,174,507,361,929,423,105,785,342,754,959,559,282,188,573,298,885,215,027,
553,905,787,646,242,904,584,128,271,964,659,267,625,797,348,986,015,869,821,
373,715,138,121,741,313,542,932,113,445,734,801,670,872,701,150,268,992,388,
861,245,956,646,078,655,852,895,751,594,196,449,118,758,738,055,646,739,168,
660,068,855,246,274,209,579,029,246,335,417,492,184,129,202,365,743,932,683,
320,516,467,162,078,371,957,265,964,726,828,695,142,065,828,191,986,614,214,
328,214,028,454,723,753,991,321,648,714,859,180,720,999,305,825,098,076,362,
077,818,959,272,545,046,104,015,454,848,286,284,617,433,848,236,379,299,619,
485,646,662,244,341,207,747,743,075,876,568,987,522,910,386,347,331,627,148,
714,914,503,753,535,624,454,357,082,617,860,428,876,506,277,974,488,071,895,
176,673,343,630,647,051,024,273,129,240,049,526,849,703,133,680,099,978,445,
294,849,200,629,017,147,496,627,836,068,128,112,523,387,556,401,924,147,139,
243,910,706,851,552,738,663,369,671,710,312,126,259,172,719,234,774,263,314,
816,801,125,174,324,988,067,851,236,744,010,640,043,224,659,684,255,073,083,
910,122,328,025,291,094,724,527,959,192,882,370,736,701,875,503,712,640,073,
893,823,363,709,206,084,090,953,006,293,072,686,286,955,625,915,738,866,505,
078,146,268,724,869,871,827,763,036,587,740,148,630,933,362,520,930,752,064,
153,547,441,941,284,283,610,727,467,740,594,187,416,364,739,469,761,671,300,
425,063,941,531,103,408,983,182,551,821,973,277,060,439,890,948,703,363,608,
526,919,785,164,364,991,153,944,252,801,689,528,199,753,905,308,704,853,866,
638,345,244,722,365,739,128,098,311,240,333,266,528,661,929,426,755,827,525,
670,599,860,723,969,184,589,819,299,796,856,656,677,674,659,416,537,142,430,
485,448,325,381,668,340,711,400,973,217,024,503,118,653,554,277,227,616,009,
379,261,776,688,930,742,943,435,109,788,890,841,158,707,967,736,048,657,095,
823,225,281,251,145,926,935,252,019,340,753,604,557,961,156,863,928,087,013,
459,675,686,016,066,857,843,176,802,207,826,789,477,809,369,681,935,114,835,
416,521,810,488,531,908,718,726,315,146,313,595,605,311,874,289,531,353,248,
161,423,919,302,478,878,493,166,658,880,330,835,644,365,655,212,952,057,924,
447,421,618,818,622,102,095,244,178,212,272,947,721,185,294,543,569,920,054,
127,663,027,629,525,513,621,461,941,312,157,094,750,862,826,450,924,245,304,
727,745,966,585,073,342,931,258,185,766,081,428,640,653,311,443,030,456,771,
914,011,222,681,827,259,228,370,947,072,967,235,014,406,185,612,586,509,755,
659,882,899,135,437,357,252,378,856,605,648,158,308,948,236,716,462,867,668,
659,693,828,013,230,135,730,145,461,058,768,842,923,728,708,293,768,938,223,
976,161,804,556,960,554,267,505,678,572,835,897,692,577,326,671,471,364,091,
458,410,060,197,479,538,745,298,565,838,964,027,809,849,245,172,868,754,133,
500,095,404,566,085,778,515,071,063,224,691,536,110,806,115,918,174,987,178,
938,052,483,284,217,852,181,654,616,896,398,592,027,794,489,699,573,458,829,
460,465,184,685,614,716,680,564,100,304,991,535,789,589,644,195,600,529,432,
006,544,017,860,708,976,443,926,768,739,097,357,420,235,517,498,204,892,973,
332,602,293,184,888,957,247,452,397,179,832,430,311,094,462,949,366,469,431,
000,738,619,692,488,075,033,186,408,509,423,745,052,082,682,551,560,403,933,
925,975,373,822,699,502,888,974,617,913,723,501,799,541,369,097,935,791,717,
614,271,827,382,081,498,718,550,132,175,356,679,716,317,506,549,786,796,597,
175,190,429,517,856,046,480,619,607,185,464,427,550,229,313,627,597,700,568,
405,848,735,462,934,357,952,414,131,902,654,646,970,688,825,714,595,573,239,
060,815,807,404,688,711,697,699,647,036,336,388,607,272,933,825,454,653,129,
003,863,316,399,670,734,426,939,424,944,031,931,569,582,771,365,725,370,574,
149,224,698,839,011,455,251,619,564,893,564,589,891,476,891,724,596,756,980,
039,085,044,470,102,738,212,264,487,060,770,462,528,916,773,717,368,147,077,
287,601,471,666,897,853,192,296,771,202,496,604,408,616,133,953,104,849,354,
286,981,224,002,808,841,842,936,957,748,165,011,467,885,715,770,347,918,602,
434,808,389,322,494,850,326,324,077,228,305,060,107,417,174,033,204,893,057,
644,652,620,446,274,756,609,567,270,778,507,913,337,169,424,039,776,873,820,
840,836,193,448,250,138,409,230,170,513,885,697,856,696,281,509,833,390,197,
921,823,807,492,098,958,273,293,395,375,388,841,897,329,201,148,208,607,843,
302,075,647,274,663,227,786,043,808,351,220,804,367,806,925,978,786,923,728,
887,868,810,587,945,985,884,607,879,671,966,224,139,929,439,096,278,527,528,
243,853,497,171,584,094,169,727,241,786,684,887,288,790,423,258,655,694,806,
571,820,703,778,609,730,633,437,968,355,061,404,193,930,848,199,654,537,386,
587,023,371,131,035,290,885,164,606,094,192,662,705,370,738,880,213,320,881,
409,792,951,490,661,700,276,946,060,363,470,113,901,180,333,163,812,310,238,
294,208,988,912,827,914,629,904,825,044,109,529,022,155,958,656,547,192,639,
459,209,757,636,143,713,354,244,766,347,558,138,525,523,677,574,156,721,702,
418,322,493,036,101,483,923,006,284,800,180,508,327,281,590,219,327,981,348,
281,813,775,718,963,793,618,112,934,835,782,345,041,725,615,850,104,717,251,
659,126,711,757,095,169,588,574,665,182,536,328,253,031,568,722,803,795,491,
735,250,260,191,141,538,292,983,169,499,916,824,844,338,049,349,988,827,915,
066,514,671,122,375,986,534,344,043,149,605,477,013,732,477,902,902,481,818,
171,637,511,909,264,130,657,718,417,736,290,707,052,431,611,371,875,830,869,
493,951,309,216,098,508,030,809,932,926,643,062,826,748,242,350,300,033,542,
352,104,365,673,708,248,861,195,918,086,095,930,477,484,691,168,195,240,735,
598,302,818,417,258,151,359,493,849,992,441,874,520,111,921,329,743,669,209,
758,689,802,920,613,870,563,182,488,623,675,494,403,926,730,292,079,787,300,
046,334,012,369,898,362,123,716,500,988,060,452,712,592,169,437,532,465,297,
025,859,036,879,584,846,257,902,289,087,031,724,697,531,247,293,400,952,745,
961,832,550,967,720,264,114,379,836,368,403,854,266,582,169,236,169,809,201,
200,396,193,768,383,385,244,872,571,613,657,709,410,073,548,015,625,822,772,
293,675,399,589,586,042,640,776,590,646,577,302,498,245,583,744,315,511,844,
428,592,134,206,863,919,079,823,716,798,826,113,938,393,218,599,838,902,942,
199,458,559,502,180,403,906,035,763,692,428,990,784,119,869,374,835,026,452,
421,028,186,325,707,281,005,382,719,725,190,851,572,746,412,345,342,574,995,
854,766,008,489,730,343,796,441,211,771,940,415,881,754,646,112,199,874,739,
173,886,891,647,021,700,479,215,777,589,241,341,336,633,363,095,187,737,079,
185,785,534,582,659,629,776,661,770,335,287,781,610,669,382,830,135,515,590,
907,338,069,644,509,542,314,869,977,712,101,846,721,930,327,967,579,192,212,
646,356,338,542,764,814,739,013,659,154,600,653,754,557,507,226,370,529,367,
762,497,587,980,807,607,720,059,491,361,549,716,943,632,928,039,247,324,672,
348,719,645,000,274,628,794,363,438,050,165,869,960,627,683,573,061,344,689,
900,799,639,103,469,976,557,430,074,433,050,058,681,198,216,301,505,403,477,
737,472,670,162,549,538,101,852,368,274,795,072,170,043,478,779,691,124,332,
937,022,018,058,513,011,454,585,060,187,703,182,910,939,885,606,454,039,317,
712,092,009,964,414,539,244,726,671,749,079,262,609,864,730,180,964,380,310,
886,914,614,647,391,398,903,370,749,714,902,440,424,908,111,978,198,222,365,
387,638,458,261,987,355,277,231,290,121,210,157,599,771,666,376,176,839,716,
779,485,370,770,761,483,258,523,390,386,520,085,856,242,726,659,684,385,181,
717,199,462,262,490,625,363,434,380,830,871,992,120,998,932,933,222,252,808,
139,957,098,829,419,080,897,541,598,945,697,925,249,339,287,749,037,661,405,
930,852,634,195,264,804,727,929,360,024,586,799,294,261,742,814,966,300,780,
383,005,144,107,162,361,861,255,215,261,121,440,361,857,891,300,570,172,345,
728,944,425,750,938,957,745,434,064,496,645,077,739,447,579,908,328,033,444,
349,817,234,551,040,554,458,617,937,689,426,824,892,758,485,815,161,464,911,
419,416,894,647,691,766,962,874,106,756,407,807,232,975,438,735,706,771,174,
912,774,427,585,831,507,845,272,952,079,304,834,444,749,267,678,193,920,719,
929,719,518,788,682,339,125,255,015,963,985,713,648,340,884,602,036,438,947,
638,827,720,631,106,780,740,877,077,024,327,343,274,717,216,472,076,122,584,
032,472,705,174,158,830,389,056,044,205,323,665,782,884,388,581,443,228,817,
156,222,043,960,745,310,546,664,700,905,975,315,478,973,949,294,537,705,659,
930,251,943,004,665,541,551,622,368,020,590,080,264,527,067,098,207,910,089,
675,893,939,653,709,044,791,504,086,344,543,796,319,139,465,990,240,259,669,
168,115,735,550,225,480,620,926,722,255,459,392,836,171,466,267,786,635,768,
782,033,842,943,706,018,850,148,400,001,650,193,392,772,029,529,396,001,447,
907,751,586,438,291,534,667,629,972,797,056,916,930,420,914,419,507,384,760,
139,458,841,076,921,867,404,359,856,496,707,600,367,152,480,151,445,691,604,
019,983,929,556,798,062,762,214,060,745,141,568,364,268,693,428,606,984,003,
164,270,640,070,943,814,725,343,299,413,536,482,382,772,143,193,129,634,431,
928,470,923,264,766,298,011,108,676,195,613,502,396,906,784,964,501,055,498,
688,087,783,993,965,628,784,789,222,310,438,337,520,559,406,191,713,557,878,
400,589,477,576,752,078,515,068,212,417,051,351,203,970,719,773,628,176,597,
862,891,356,744,085,837,651,597,654,681,302,322,635,649,314,606,870,573,287,
837,557,512,335,475,871,107,231,686,440,539,597,912,986,473,986,770,791,468,
961,119,821,903,192,433,351,357,347,952,141,991,693,782,808,241,276,878,205,
003,499,325,835,541,092,292,750,322,099,731,693,807,187,023,785,833,215,762,
639,879,900,973,023,783,433,137,591,446,286,787,062,322,269,236,112,651,575,
497,067,153,588,055,782,960,571,940,142,372,958,270,043,233,439,344,327,486,
364,166,663,447,108,676,929,063,467,110,252,272,140,473,767,682,742,899,860,
200,357,258,925,680,721,241,331,040,970,052,500,889,178,423,161,245,450,375,
524,706,805,452,273,072,874,001,502,703,893,816,770,548,052,333,825,523,058,
055,218,870,432,549,131,092,453,575,785,745,559,384,774,284,390,163,801,541,
563,040,289,447,624,650,135,752,500,179,530,649,121,228,764,868,575,692,276,
781,678,268,723,151,871,349,779,359,727,827,344,628,088,254,060,642,770,828,
773,842,544,839,512,810,055,808,204,537,304,530,912,509,575,049,741,594,488,
683,951,553,949,095,207,937,122,268,395,947,439,001,111,652,372,505,916,488,
152,643,075,491,256,043,452,649,289,297,263,111,399,994,954,318,356,474,079,
714,770,975,587,142,339,764,294,092,656,306,200,709,573,185,969,237,133,414,
192,389,655,355,386,726,134,228,810,140,425,983,542,340,729,592,589,602,222,
929,852,989,751,952,604,127,256,257,378,678,693,781,600,888,745,022,633,957,
904,432,493,378,232,535,486,349,193,659,590,988,763,260,200,548,214,302,721,
757,325,875,114,357,438,116,400,530,405,649,911,531,641,093,164,618,005,295,
207,865,839,858,757,288,451,115,218,988,627,602,749,682,612,107,839,052,800,
659,833,324,115,435,954,473,829,454,426,405,839,263,229,888,667,071,026,726,
209,193,470,843,744,750,673,150,719,871,417,764,847,333,224,172,170,501,603,
059,582,333,541,691,381,405,650,426,390,517,354,324,519,533,806,311,578,844,
830,999,074,726,678,197,018,414,123,112,811,950,396,003,049,034,947,526,464,
209,605,791,097,085,080,777,506,128,669,819,946,325,785,820,188,576,484,670,
564,298,958,774,299,527,152,641,470,454,936,627,119,174,487,989,880,154,241,
236,259,370,443,130,482,454,294,523,713,229,262,577,062,855,725,262,300,410,
440,660,146,036,982,594,624,379,687,632,007,037,913,635,137,379,574,459,979,
319,303,119,639,079,555,829,254,533,510,531,805,863,199,352,577,592,080,166,
430,591,263,130,988,591,881,773,355,525,391,811,593,149,740,097,194,581,573,
902,065,761,266,831,355,531,404,716,413,065,224,953,601,216,588,378,754,012,
840,893,033,583,692,553,992,171,557,853,069,801,273,208,788,801,873,376,569,
521,751,649,216,414,248,210,578,625,777,988,211,447,940,980,065,412,204,296,
739,938,158,313,749,252,202,411,064,260,988,110,114,732,497,918,632,565,967,
362,387,544,962,538,396,091,623,484,776,965,710,861,548,418,794,575,546,929,
943,763,688,805,603,814,118,114,825,120,054,569,545,204,915,981,267,997,476,
968,211,278,342,018,289,020,369,713,582,535,893,534,854,963,893,413,287,300,
027,148,203,442,980,130,689,477,333,829,794,079,782,823,778,540,312,825,158,
575,391,781,878,982,678,349,258,056,070,456,852,367,321,350,535,821,697,775,
764,694,889,965,114,679,033,921,527,753,952,524,647,888,593,449,229,873,656,
299,338,604,115,720,560,012,680,954,692,493,463,252,588,610,021,379,347,104,
375,445,695,155,501,526,360,638,746,680,776,884,232,624,892,987,165,306,282,
694,296,972,865,366,830,105,468,285,590,525,061,627,540,134,463,959,676,953,
022,755,154,667,744,104,597,308,764,793,829,874,831,835,680,281,520,191,369,
954,469,301,216,264,130,736,610,785,022,754,666,207,729,045,144,058,255,029,
735,120,123,567,461,135,119,370,534,525,223,902,152,060,161,551,183,482,596,
600,003,373,160,405,322,028,112,475,264,199,516,969,755,917,511,822,099,279,
536,468,235,225,550,207,423,456,499,109,246,211,223,416,735,595,671,533,504,
782,555,655,640,605,044,348,924,122,247,989,914,728,513,036,186,160,003,603,
121,160,247,338,948,709,516,434,365,157,927,032,914,331,092,262,202,256,046,
687,917,387,377,799,687,156,765,622,501,491,200,123,836,122,239,085,597,500,
995,383,494,657,276,192,260,056,789,678,103,567,275,421,250,976,021,030,398,
699,823,961,900,594,977,872,453,637,846,554,185,020,079,849,230,758,985,122,
334,785,047,388,725,578,360,543,393,851,987,098,821,427,779,826,857,274,626,
271,979,545,611,665,249,577,124,102,302,988,663,175,523,273,693,491,615,436,
379,000,487,508,828,941,058,998,662,412,318,542,928,825,695,209,897,370,588,
716,069,566,826,019,030,060,309,613,362,928,750,931,358,317,304,519,025,578,
841,987,539,971,825,237,232,045,584,718,452,869,615,909,580,975,642,506,960,
526,064,184,216,011,894,341,178,101,062,310,772,498,169,338,030,054,190,096,
530,742,174,289,392,627,899,515,814,856,743,351,287,060,777,593,168,884,702,
034,889,187,244,819,813,597,431,630,633,071,998,985,804,688,406,891,943,431,
539,815,673,873,916,682,620,819,659,351,743,318,782,936,771,993,433,950,336,
345,468,585,582,953,977,369,876,144,468,497,905,587,566,267,757,996,901,659,
483,362,976,993,466,132,209,630,158,152,915,221,355,619,376,555,283,492,381,
854,852,319,197,972,762,762,040,907,488,277,736,392,848,316,085,695,425,234,
166,536,687,038,465,873,581,422,931,500,831,595,191,773,922,300,072,733,259,
340,844,037,423,416,485,201,152,093,350,734,832,440,180,131,146,487,870,417,
020,106,596,411,897,858,704,436,153,949,531,754,823,743,437,604,162,050,049,
278,720,162,260,716,447,704,865,046,695,850,544,880,279,038,403,914,209,366,
819,614,035,563,749,304,170,232,598,338,102,357,629,730,781,863,464,591,075,
365,270,646,382,492,733,625,829,577,595,646,162,355,798,229,637,805,102,001,
568,259,485,597,918,426,794,018,075,347,263,564,102,131,270,230,023,888,210,
291,398,460,313,072,777,851,808,389,878,356,970,322,490,512,874,769,009,578,
944,207,855,503,333,376,699,451,074,550,745,612,495,139,640,188,059,110,687,
428,386,910,550,969,741,168,200,551,677,911,515,943,405,934,282,892,617,588,
837,282,664,209,399,579,066,335,384,863,510,381,927,582,471,849,065,392,613,
468,163,762,333,512,834,882,600,444,829,474,263,227,860,067,595,895,020,413,
358,635,409,684,901,362,574,373,303,681,017,881,405,842,089,183,313,601,839,
322,821,613,069,298,702,725,145,296,949,764,328,180,631,897,356,870,342,484,
704,591,895,195,203,542,012,305,440,638,345,958,833,022,966,042,770,239,583,
316,573,476,823,128,452,110,986,858,166,596,956,327,662,827,053,250,047,258,
210,004,810,384,791,074,246,519,111,112,846,368,084,287,083,405,940,056,018,
772,254,871,970,991,425,235,831,931,398,180,853,462,312,046,089,113,167,477,
073,227,618,097,347,658,080,138,618,764,738,972,329,936,953,791,236,105,897,
527,168,939,330,224,868,641,517,302,242,685,641,732,238,898,132,924,704,960,
446,809,164,969,741,818,289,089,885,621,551,711,744,722,276,777,324,945,290,
921,165,763,070,728,113,767,383,448,373,655,632,238,985,269,188,747,697,278,
246,031,696,307,485,431,209,597,189,606,713,501,486,141,919,058,426,923,910,
379,570,706,125,309,824,232,598,055,101,931,937,098,353,798,258,387,459,914,
523,381,504,102,266,482,066,368,214,606,456,110,428,301,559,960,361,097,436,
154,387,471,721,536,165,766,436,307,988,924,428,100,245,032,205,776,145,173,
479,467,849,993,807,153,292,120,451,046,909,733,162,860,875,028,143,163,490,
061,946,760,875,834,960,403,926,909,091,507,064,673,404,623,298,747,962,150,
078,008,990,547,498,178,600,084,675,764,432,030,690,192,662,042,585,534,456,
085,470,575,754,405,256,650,184,696,830,821,917,831,450,894,838,210,180,204,
406,964,155,405,825,424,239,850,357,586,852,478,298,436,490,626,726,475,653,
504,213,598,369,863,154,545,846,241,694,317,021,207,413,775,390,132,177,742,
696,862,565,198,683,663,267,543,931,852,660,076,902,394,369,697,772,901,435,
317,130,166,659,115,528,123,918,151,128,136,843,814,745,303,781,578,444,039,
719,880,047,811,523,752,543,332,923,646,421,303,058,828,187,970,726,054,809,
144,335,410,493,063,844,288,085,058,868,931,157,193,097,003,092,398,657,769,
469,844,788,136,821,301,994,953,228,646,466,430,969,311,391,924,537,177,401,
144,394,934,833,327,300,742,627,028,535,017,821,814,059,823,907,242,203,652,
003,028,814,174,965,890,014,638,378,324,386,578,553,107,467,845,390,810,662,
536,408,494,691,202,715,494,863,164,328,904,780,969,806,995,772,401,212,751,
983,017,670,000,244,296,715,122,093,548,929,600,337,947,020,267,660,621,047,
437,054,549,369,659,142,919,747,613,897,371,348,227,975,825,627,844,909,933,
469,041,401,662,457,136,161,456,325,980,023,893,625,020,707,233,420,609,401,
136,353,270,458,929,376,863,106,685,318,734,519,026,277,364,239,924,796,587,
741,465,361,348,254,002,825,397,455,272,573,001,808,604,006,154,575,081,178,
326,054,006,735,210,296,640,190,171,787,691,639,606,265,544,653,709,378,065,
000,580,056,416,085,045,099,823,555,933,262,911,753,599,406,805,163,865,528,
812,064,562,683,905,930,328,231,570,415,410,321,230,363,206,489,418,406,015,
954,971,410,331,127,842,011,698,270,879,569,253,294,961,170,747,766,656,542,
221,057,884,063,957,598,587,608,098,001,844,356,132,914,477,218,632,193,822,
713,341,475,113,584,504,262,442,257,726,954,927,885,159,019,320,282,409,770,
907,915,465,544,028,899,351,853,927,067,438,149,528,676,618,210,313,860,534,
535,415,885,182,552,287,038,056,432,893,308,886,605,419,213,477,716,371,407,
295,444,686,378,366,261,962,646,671,019,204,785,811,629,046,318,206,603,375,
510,656,598,208,493,714,853,846,129,142,411,922,368,265,095,569,934,911,582,
835,956,618,300,049,833,589,715,175,713,522,668,884,948,867,190,507,541,087,
096,215,631,264,185,970,571,161,183,991,635,554,645,562,005,516,214,370,579,
347,504,023,949,153,622,684,228,859,294,675,699,816,811,058,464,313,912,368,
448,836,123,748,835,069,302,283,971,523,522,299,281,069,964,998,338,201,926,
522,694,928,449,613,184,490,360,195,960,852,684,970,809,907,508,566,525,250,
319,280,853,343,218,526,513,602,803,963,370,734,454,080,784,030,139,200,010,
748,583,243,839,456,907,943,243,265,899,510,478,298,411,733,145,980,804,612,
936,995,744,280,458,332,393,343,583,347,799,837,827,710,073,984,125,007,758,
797,707,334,069,829,132,283,486,742,385,874,985,923,785,034,918,929,964,931,
426,188,806,077,662,686,083,235,178,626,594,731,890,108,495,837,247,604,221,
778,947,151,412,187,245,452,348,517,470,931,645,890,900,294,320,353,711,265,
743,433,169,041,575,564,931,759,673,397,063,194,939,721,157,947,627,457,288,
930,371,754,360,072,647,512,642,188,464,662,864,203,721,474,496,708,265,072,
816,943,348,976,261,900,346,840,743,537,229,031,478,095,395,765,408,326,950,
062,871,620,160,423,707,433,476,655,762,562,774,065,072,955,831,441,736,669,
940,672,252,022,038,068,312,422,765,080,727,940,320,973,817,576,013,908,595,
986,922,310,399,800,128,209,355,832,576,830,040,234,517,896,306,695,176,153,
027,190,758,740,150,775,536,057,673,119,522,939,660,180,406,019,242,293,160,
924,865,601,316,997,464,970,826,288,297,491,722,999,383,374,337,323,580,213,
228,275,941,294,016,212,740,639,667,387,202,045,874,305,090,175,328,229,612,
450,255,606,727,864,635,349,610,632,431,586,106,623,374,020,569,940,146,323,
752,268,782,808,232,708,154,530,547,551,612,019,017,433,988,034,459,145,608,
398,861,205,570,402,108,605,717,478,164,207,378,881,005,779,442,492,933,445,
204,766,829,605,008,294,779,178,616,035,740,838,984,768,109,994,103,116,049,
542,721,438,520,225,420,583,668,580,323,927,040,752,793,967,010,902,283,473,
192,050,561,707,054,679,204,262,325,739,655,323,857,300,571,771,110,498,032,
838,583,832,860,384,657,176,593,946,671,588,412,307,702,866,751,795,301,796,
750,154,388,635,811,176,950,514,252,808,328,340,296,743,192,695,535,931,317,
779,376,914,679,938,229,019,821,860,736,770,157,308,895,285,124,992,770,016,
332,638,456,448,737,515,743,888,644,215,378,959,737,568,614,894,587,108,449,
170,055,952,932,997,063,510,272,488,210,150,257,763,256,991,715,057,308,903,
780,678,601,771,094,018,206,336,443,605,453,065,081,389,153,452,593,609,334,
728,545,972,911,138,017,980,288,766,119,486,699,996,887,792,841,737,445,506,
421,204,545,302,746,603,542,910,166,718,633,581,205,149,834,630,318,844,765,
683,124,807,258,018,329,654,366,474,772,109,328,218,482,943,416,902,381,581,
369,578,616,004,000,404,990,870,628,127,088,383,683,105,728,648,872,517,529,
461,775,918,939,880,066,870,328,260,940,268,844,476,242,583,418,225,003,019,
184,259,508,624,892,184,654,882,974,969,393,043,321,968,461,082,456,443,725,
568,241,645,637,646,234,847,124,533,213,482,354,458,534,202,084,372,206,085,
019,567,641,942,354,772,662,201,645,467,594,175,233,762,785,759,016,891,314,
899,693,156,698,246,151,648,433,580,234,847,211,762,526,636,775,508,986,900,
553,905,097,659,504,191,277,900,117,269,093,604,305,937,872,147,412,378,164,
173,628,858,400,030,401,691,180,849,414,059,581,019,629,822,352,687,734,553,
381,045,922,745,607,112,018,110,633,533,066,758,121,602,716,146,249,986,010,
701,797,685,086,890,860,777,352,901,463,028,833,983,562,710,896,617,695,651,
423,435,452,298,470,874,459,453,482,413,693,949,672,735,919,495,385,297,892,
156,355,275,831,032,838,120,408,923,966,811,512,946,344,592,150,228,705,409,
976,997,735,986,278,234,309,554,137,055,652,064,368,501,885,544,038,212,186,
824,501,967,214,275,002,353,211,270,507,501,126,327,511,014,187,185,530,312,
055,342,353,649,211,059,849,589,203,295,623,021,925,790,794,644,754,415,457,
636,554,418,318,335,930,187,056,265,437,905,841,952,129,645,178,956,064,076,
297,219,548,650,197,105,166,356,527,552,560,131,170,585,089,717,860,441,393,
476,983,927,656,056,746,976,019,000,071,867,997,659,487,617,032,882,363,014,
016,134,773,663,155,346,813,511,316,648,888,319,543,749,155,678,852,689,204,
088,077,054,828,234,811,171,894,852,374,880,562,933,511,523,308,084,126,534,
500,086,613,554,842,395,499,723,390,615,553,193,712,736,014,112,917,159,823,
993,699,641,627,007,555,492,643,547,352,958,624,661,710,505,639,404,974,923,
256,551,306,015,447,760,588,226,543,403,746,686,154,600,911,369,003,474,313,
897,256,691,234,663,357,900,803,119,652,687,480,643,677,143,353,546,903,180,
361,408,617,888,690,125,651,921,062,800,029,414,501,188,849,193,794,423,626,
767,592,382,293,615,124,203,255,505,088,206,551,796,663,661,597,445,500,471,
632,954,259,930,721,065,061,813,439,339,267,807,597,551,495,709,145,752,358,
365,176,635,263,424,233,498,632,554,532,650,248,821,326,705,091,219,820,045,
131,221,670,258,829,137,884,061,737,775,769,962,577,284,268,061,909,156,012,
884,330,227,064,891,124,476,805,311,785,343,811,314,190,620,848,485,727,254,
569,701,042,339,037,683,194,949,412,375,464,224,791,415,888,156,950,104,959,
053,168,780,015,744,185,687,966,842,285,524,467,821,142,681,305,936,609,483,
546,171,772,972,584,915,653,249,525,457,837,544,829,345,063,732,511,959,014,
271,930,545,732,757,391,024,256,364,268,149,787,935,225,253,590,483,996,413,
444,117,562,493,596,804,921,800,247,719,311,244,552,457,754,862,631,299,621,
182,022,144,133,887,178,306,867,458,263,857,211,881,770,980,699,117,469,339,
764,444,788,825,520,559,787,331,353,149,722,128,431,891,709,488,471,849,178,
985,004,855,348,189,956,487,892,415,893,296,792,574,603,094,224,593,171,221,
185,731,706,007,362,261,080,308,701,881,728,470,735,756,478,617,623,580,578,
392,669,435,346,477,980,310,226,593,286,543,247,449,640,823,413,423,854,381,
440,195,436,282,453,977,924,202,571,894,387,703,422,024,324,747,748,401,001,
196,029,949,407,315,819,571,481,500,865,458,956,260,721,424,864,145,112,179,
036,418,480,575,083,449,432,781,226,832,317,510,563,046,508,524,212,894,024,
722,784,430,003,695,092,204,468,169,110,556,928,417,621,592,902,533,599,113,
185,407,355,674,156,899,524,848,516,772,685,042,791,808,024,807,981,572,457,
737,210,124,827,518,592,347,928,843,578,226,841,704,495,933,364,103,798,820,
621,704,987,672,758,163,919,380,320,542,645,335,198,965,597,584,934,746,419,
906,883,958,614,925,061,202,468,759,705,088,086,418,149,621,368,835,848,771,
282,247,321,443,599,756,007,339,960,747,620,474,787,360,876,984,914,253,444,
656,658,604,426,861,710,923,428,640,965,800,804,662,913,937,237,845,899,799,
175,476,239,037,600,559,821,809,290,170,131,756,066,809,966,778,271,906,273,
304,900,277,261,241,679,509,881,868,809,776,429,757,783,441,972,836,562,976,
792,851,828,077,760,008,797,872,991,043,879,530,135,658,145,737,700,242,753,
213,881,826,533,575,134,908,931,873,541,175,604,955,250,042,631,392,172,242,
962,582,830,868,169,190,098,410,289,668,867,545,781,283,424,328,700,202,040,
512,742,445,338,662,693,276,343,497,628,875,178,914,723,250,629,025,085,174,
959,731,527,472,984,605,032,794,104,184,823,813,169,751,733,777,512,397,914,
360,923,237,527,225,469,594,518,082,397,378,489,582,810,349,423,179,787,895,
162,741,687,558,517,879,476,257,961,846,116,095,459,698,721,347,010,712,147,
344,050,542,577,136,056,101,788,871,503,207,993,775,116,425,596,096,661,834,
938,592,414,489,237,978,150,635,450,137,784,990,189,750,745,288,858,044,233,
400,723,087,123,104,843,887,680,634,247,941,931,397,554,869,874,671,104,051,
795,387,355,051,128,810,257,809,306,216,756,468,676,870,186,445,821,710,167,
629,255,347,579,046,331,740,467,036,302,338,306,700,825,010,121,069,657,248,
467,630,537,428,831,791,745,944,847,000,004,886,395,493,508,158,167,960,057,
775,603,240,527,166,328,013,245,330,987,870,248,058,738,164,573,125,648,079,
698,502,254,331,175,483,016,160,627,623,711,986,567,967,016,372,977,321,683,
812,473,276,584,945,445,943,104,138,728,981,874,019,702,333,086,883,183,353,
708,124,097,643,306,511,629,090,076,770,008,657,452,871,539,426,631,771,091,
987,009,958,571,704,613,965,922,770,250,553,782,137,880,042,525,040,306,676,
924,966,353,155,967,986,868,856,034,347,655,941,683,142,715,252,024,755,175,
491,207,085,699,339,560,657,308,174,844,463,380,613,380,485,868,465,282,947,
979,991,362,444,876,793,018,237,728,762,948,053,257,190,916,151,946,416,860,
307,373,267,498,866,616,102,101,422,258,289,099,757,476,196,850,409,966,914,
417,658,967,329,926,297,653,604,270,467,841,643,664,630,786,952,749,312,230,
052,011,971,614,312,451,278,391,714,353,796,998,162,468,375,528,754,006,282,
817,026,977,880,711,096,109,918,214,842,207,717,124,749,725,326,528,345,132,
816,079,853,858,763,387,468,935,092,944,970,371,818,172,600,964,203,668,335,
716,229,787,131,748,294,131,110,049,450,406,768,991,744,625,113,832,821,563,
930,304,296,668,308,783,789,416,467,892,780,010,716,720,719,933,428,278,575,
133,880,722,096,437,842,061,342,493,800,561,817,251,564,385,673,349,996,282,
833,085,199,978,953,383,892,199,738,430,611,380,857,953,940,949,759,231,095,
582,323,292,985,102,091,009,483,342,247,394,279,188,769,704,324,124,594,284,
155,336,537,774,039,934,713,819,399,521,113,594,357,276,547,118,026,434,989,
133,479,299,942,031,453,972,414,928,606,191,589,648,656,974,809,113,042,084,
374,221,485,668,128,906,437,203,674,873,053,902,622,935,258,277,700,146,565,
381,617,379,277,397,660,300,095,411,653,984,461,132,804,762,034,984,008,519,
672,723,310,815,580,782,956,206,659,430,672,173,191,806,270,047,835,405,115,
515,023,363,646,378,675,839,493,642,862,422,831,505,859,065,400,282,841,975,
139,516,173,955,138,409,201,999,072,451,669,096,789,151,213,181,844,011,461,
651,505,128,487,973,425,936,237,278,065,907,061,803,597,688,883,512,529,972,
119,637,627,587,322,643,419,367,521,397,007,505,531,852,199,064,769,885,478,
561,125,648,871,399,703,581,102,593,730,791,557,586,867,499,804,295,239,801,
820,842,809,578,700,908,762,941,042,422,201,241,325,797,433,237,012,978,864,
855,563,143,469,891,864,322,813,875,772,628,821,177,728,084,154,575,845,763,
396,836,200,640,040,106,160,714,004,372,633,563,050,279,846,318,504,279,409,
426,265,689,617,069,962,781,886,546,379,374,056,828,540,732,861,937,804,895,
902,293,137,488,749,433,819,789,136,885,691,604,340,428,362,473,386,602,975,
456,492,657,939,598,311,949,348,169,760,518,886,836,955,752,977,286,563,842,
639,477,546,415,443,624,461,159,209,819,656,048,577,490,484,269,393,206,775,
406,119,567,456,525,157,517,231,188,980,068,566,493,351,495,437,234,823,254,
108,165,219,846,122,219,710,567,126,335,122,944,347,405,126,990,400,824,795,
704,720,172,443,026,447,375,636,879,684,288,038,908,122,861,531,562,242,640,
079,905,009,565,587,072,664,855,738,314,346,073,076,897,414,519,350,072,624,
944,087,851,130,105,359,972,067,555,692,431,052,760,996,263,256,331,589,754,
221,151,701,647,814,487,962,659,383,011,508,211,058,561,877,695,928,865,682,
456,486,515,297,173,896,738,655,692,544,875,178,254,980,759,336,938,241,170,
871,567,692,378,337,763,192,141,748,481,047,560,044,042,608,602,922,504,619,
620,924,530,453,957,045,373,990,297,180,130,256,520,747,585,659,033,296,953,
161,684,411,128,332,216,850,257,567,469,410,993,129,454,650,932,023,996,598,
126,289,737,912,793,839,062,068,899,838,120,282,461,319,259,458,539,829,749,
541,961,879,158,712,299,433,860,541,638,226,303,491,133,216,027,110,951,073,
046,613,145,757,319,880,393,560,609,956,604,480,370,946,331,639,245,091,031,
472,512,437,550,338,609,392,906,952,491,313,854,198,025,160,149,657,596,488,
502,216,760,807,207,339,906,701,469,265,981,813,199,911,918,708,924,069,373,
493,134,078,454,052,253,700,707,453,461,671,815,432,121,989,964,609,197,320,
142,396,799,710,008,561,592,218,948,114,125,613,402,068,598,449,971,090,113,
130,606,302,500,811,937,747,401,271,154,956,865,976,760,799,238,827,266,113,
656,514,340,941,645,632,287,634,183,825,050,895,376,209,361,611,769,283,155,
977,267,865,243,464,827,502,946,426,347,839,718,224,496,943,968,397,232,059,
646,448,782,976,989,157,583,061,720,544,115,332,179,711,324,576,340,219,290,
028,466,958,694,011,366,000,063,750,735,296,577,016,198,586,135,164,617,549,
887,581,846,647,709,192,001,197,186,873,034,290,677,573,674,844,291,445,184,
596,523,827,527,402,987,894,372,898,097,770,232,503,194,209,332,980,776,045,
127,654,981,192,400,414,475,029,318,169,198,440,458,179,114,337,590,687,026,
848,553,259,876,690,837,087,900,368,397,741,036,665,506,171,119,574,774,531,
974,554,277,388,057,967,082,995,595,603,191,387,690,825,896,006,689,934,615,
529,534,107,498,498,140,444,823,618,593,725,951,557,590,603,021,835,998,642,
591,535,450,508,147,350,575,487,551,054,989,501,622,267,252,406,913,147,708,
379,898,323,966,779,134,404,571,812,275,845,137,306,150,305,959,613,975,939,
091,262,620,846,976,160,397,865,446,600,231,007,759,427,064,559,197,563,337,
530,005,186,915,812,364,599,677,212,772,001,398,620,865,110,477,258,603,138,
214,166,097,755,057,086,932,181,565,663,159,800,908,686,258,873,244,211,773,
878,556,871,538,634,041,853,603,377,454,885,731,400,532,724,904,868,352,771,
391,324,214,203,120,298,211,757,270,574,329,018,515,770,785,969,018,763,514,
919,191,673,523,141,286,291,458,414,616,280,965,522,626,339,250,928,721,269,
899,117,072,207,385,568,761,736,298,346,407,942,501,286,802,222,178,256,692,
874,484,027,177,295,657,557,405,407,263,332,939,021,473,579,941,264,587,691,
183,557,765,239,234,968,637,639,079,701,353,264,572,035,099,366,323,920,064,
754,594,802,344,984,840,170,046,051,770,197,214,464,430,781,443,414,112,428,
410,763,561,290,803,511,571,249,479,903,032,377,657,532,134,857,838,956,394,
676,406,230,505,030,102,422,299,393,590,975,202,766,798,774,660,683,384,353,
844,977,046,975,508,367,740,123,917,313,874,340,446,613,872,245,049,121,824,
942,692,127,261,686,128,246,295,481,461,866,320,129,014,261,268,369,481,814,
580,550,432,466,216,404,166,021,825,872,942,129,483,396,527,391,437,022,763,
982,851,973,731,996,789,009,817,930,110,632,561,932,586,503,251,652,073,908,
135,734,113,103,560,911,725,584,018,237,597,383,662,141,475,290,358,094,712,
480,518,202,909,935,992,972,625,393,206,697,824,887,085,709,768,744,332,992,
742,269,055,002,945,693,246,675,474,202,199,569,393,000,352,022,085,800,192,
019,925,924,740,568,291,902,591,640,078,509,603,145,507,367,187,076,879,403,
276,550,454,160,099,094,709,314,607,059,327,224,319,512,623,594,361,280,786,
875,856,150,094,223,732,440,089,298,193,530,807,735,551,128,697,991,094,469,
449,485,826,024,387,771,635,867,160,545,632,014,620,264,032,414,384,172,529,
924,079,983,797,972,887,075,000,536,473,028,809,787,415,911,116,643,024,525,
991,368,769,546,659,095,824,670,162,977,721,513,856,231,861,537,597,700,836,
875,926,292,849,838,798,124,280,962,981,007,488,857,002,484,022,517,654,321,
496,059,064,725,506,415,163,526,786,343,024,301,103,829,981,495,558,942,681,
444,665,458,414,562,500,452,632,307,382,172,461,113,415,518,329,609,386,514,
210,653,094,667,582,482,057,771,901,530,324,083,376,669,340,414,369,947,219,
505,847,899,257,695,378,941,271,011,833,358,553,848,736,415,198,551,692,218,
242,091,349,275,900,815,327,482,807,273,653,246,470,285,156,544,023,446,493,
824,092,216,851,663,201,050,538,313,399,810,559,853,567,659,233,027,469,336,
574,713,371,171,875,757,889,429,962,115,590,959,331,216,767,803,211,423,680,
509,299,317,817,676,919,978,251,955,344,946,545,286,777,899,075,070,128,616,
020,356,382,907,173,121,291,716,824,691,730,836,245,986,271,273,870,282,969,
134,065,815,742,602,818,093,603,349,337,170,284,754,742,202,220,318,457,611,
078,970,771,059,383,532,853,267,430,316,760,194,519,592,065,760,685,258,980,
683,951,040,228,421,462,764,822,826,637,902,484,732,664,262,918,312,134,475,
657,096,960,455,228,836,901,558,364,624,649,693,598,322,195,423,743,284,208,
004,103,102,238,381,325,146,204,659,719,763,172,709,080,530,521,126,060,958,
430,426,765,335,427,409,995,776,265,476,077,304,621,503,407,143,724,545,331,
137,753,321,257,158,270,400,540,153,977,670,522,398,244,415,967,956,408,481,
257,722,354,021,346,960,115,770,224,996,117,564,112,963,933,340,501,181,129,
831,579,064,709,651,717,467,020,475,086,086,217,000,791,951,818,683,940,400,
786,327,646,965,039,918,353,076,217,332,189,519,183,174,028,261,066,801,243,
771,684,879,702,025,894,199,879,272,932,299,675,341,284,411,824,638,351,208,
522,702,650,356,551,657,352,493,482,512,477,877,579,437,368,905,519,059,198,
896,000,058,866,519,414,075,566,680,004,293,246,548,246,272,105,700,625,933,
301,948,717,303,452,300,124,437,658,965,019,458,760,222,919,288,788,741,747,
284,954,201,385,485,702,292,476,771,850,517,303,783,101,697,021,829,228,322,
310,826,648,027,789,605,403,925,137,569,028,376,169,155,822,800,003,234,506,
690,094,104,175,237,071,557,475,796,734,545,874,348,961,643,167,925,848,963,
816,197,812,029,001,642,915,974,397,007,485,865,784,953,902,755,682,011,022,
102,965,808,420,728,993,415,585,871,067,854,168,001,240,482,051,814,488,945,
806,019,261,150,075,935,953,359,525,151,166,180,257,739,222,021,029,184,385,
690,589,678,106,445,166,954,793,921,875,296,720,371,279,303,737,587,484,951,
482,185,158,269,847,407,316,845,917,166,974,087,617,420,251,555,208,216,756,
219,321,741,472,886,981,266,081,449,786,930,268,731,969,707,050,818,637,664,
150,422,638,630,477,691,984,321,691,715,196,681,303,179,932,373,186,310,809,
592,582,449,339,426,740,304,044,401,994,118,602,451,757,195,171,022,671,676,
545,776,603,434,402,475,672,076,876,188,177,515,184,914,937,458,625,901,076,
480,859,630,726,358,037,397,869,354,739,123,241,946,930,704,989,573,216,654,
624,185,977,815,649,262,808,756,306,122,958,356,113,454,885,281,189,267,791,
470,473,058,329,679,907,073,922,120,510,267,989,110,337,764,497,979,945,644,
103,979,179,687,904,236,801,217,439,065,584,769,855,470,015,651,735,857,637,
957,252,574,379,175,298,109,520,989,933,986,037,062,091,801,777,163,852,542,
556,860,496,371,742,721,456,729,525,096,419,969,582,835,492,465,139,065,287,
177,680,538,997,737,907,151,789,048,385,545,542,697,092,762,208,385,532,634,
755,518,289,942,714,520,219,103,724,249,790,315,137,996,541,244,940,268,303,
054,211,021,687,627,869,335,038,967,031,716,297,135,280,083,785,745,273,924,
086,720,635,139,386,824,511,871,333,875,805,099,747,008,266,400,952,857,217,
906,386,775,937,193,632,467,114,087,930,912,515,350,833,847,786,195,205,093,
499,896,859,829,612,432,828,981,928,966,430,562,309,028,588,393,188,718,027,
929,705,247,180,948,417,893,299,608,443,331,089,503,296,093,280,235,524,435,
826,677,048,158,715,954,541,809,163,860,874,386,193,529,524,521,156,976,406,
936,625,870,236,514,071,348,595,889,563,849,270,217,990,461,913,514,735,372,
650,080,051,022,196,560,130,249,082,149,029,998,813,722,310,525,552,694,177,
351,154,752,826,157,707,238,403,267,733,648,929,589,733,758,351,363,748,009,
696,530,228,153,558,630,336,658,109,708,581,063,740,149,419,703,491,433,764,
611,894,680,731,655,708,137,858,399,622,328,856,103,218,766,675,131,042,353,
478,902,692,985,654,635,899,097,010,261,222,144,784,685,297,208,794,762,382,
521,536,192,966,656,806,696,952,981,724,615,796,477,002,786,701,326,468,315,
300,303,173,172,992,475,926,581,568,215,028,462,614,467,696,220,000,497,970,
538,077,326,091,580,730,311,423,569,968,844,127,144,998,500,425,523,238,838,
027,675,836,902,213,715,185,169,648,777,015,131,945,854,991,291,792,122,824,
702,962,672,032,512,347,480,508,299,712,555,670,905,379,447,763,184,359,428,
487,500,631,067,279,116,057,306,585,551,080,536,629,785,335,971,541,473,247,
875,753,973,916,272,156,564,070,993,173,096,441,723,567,421,280,554,950,899,
610,130,555,748,661,343,611,250,573,631,883,732,629,001,257,967,453,515,695,
854,061,280,573,614,679,936,987,018,925,249,114,318,452,719,131,676,987,352,
010,873,280,203,499,115,448,126,038,814,867,669,936,929,564,432,350,771,764,
831,762,538,428,347,539,902,090,568,076,136,878,928,769,971,929,600,469,849,
874,222,808,658,416,638,790,454,940,174,636,422,467,376,784,514,317,643,172,
198,501,645,971,444,973,492,072,949,041,614,026,650,523,282,020,238,051,459,
603,456,611,028,937,581,825,328,900,646,245,769,875,481,266,422,689,160,815,
474,979,611,466,289,954,571,228,354,334,710,141,792,986,924,553,541,842,929,
710,269,843,380,682,309,671,236,422,545,653,571,508,691,920,022,474,073,366,
057,750,585,599,158,689,246,461,325,088,926,224,687,538,273,906,737,540,069,
804,104,386,463,585,524,798,051,268,704,469,722,111,639,796,012,751,499,575,
358,287,903,392,115,553,724,389,312,608,721,556,715,776,634,074,808,609,349,
462,116,039,320,937,325,338,800,173,870,384,384,746,179,329,023,331,109,119,
799,298,816,364,272,895,495,817,821,238,870,850,082,103,699,867,686,235,059,
701,358,026,389,713,197,871,512,489,508,875,954,454,655,374,130,046,083,868,
186,822,261,761,187,012,367,468,884,621,402,241,286,119,340,921,130,101,848,
975,399,078,075,545,291,572,115,533,795,797,593,831,294,720,656,924,253,717,
043,682,136,571,266,020,973,645,880,479,997,317,840,881,665,025,500,393,114,
286,882,211,653,732,940,746,077,865,006,161,488,755,352,304,047,780,899,923,
898,555,185,572,815,218,044,552,069,107,953,572,907,345,578,308,011,916,247,
253,231,051,470,787,891,831,743,609,245,621,575,569,854,659,556,767,650,352,
050,738,203,274,677,198,779,566,794,749,396,367,060,321,145,957,829,221,675,
920,401,055,404,178,172,637,577,879,492,948,016,709,695,977,694,860,012,985,
613,461,942,096,454,800,259,112,677,238,801,792,184,785,541,277,200,048,843,
642,996,237,713,309,563,184,902,726,627,100,451,425,380,648,280,606,561,453,
275,368,219,811,303,072,900,309,763,097,089,160,905,007,847,713,060,766,526,
442,959,166,346,601,129,766,657,548,743,681,634,999,731,043,007,298,431,850,
523,137,255,877,091,828,477,134,872,135,120,173,861,909,386,168,661,387,422,
380,936,074,655,436,795,356,454,616,328,866,840,930,098,594,278,596,390,196,
230,141,663,306,425,258,979,710,099,851,197,329,516,008,833,303,792,244,852,
881,772,939,772,626,498,774,133,567,430,073,268,476,622,286,773,807,650,244,
301,722,560,171,563,962,541,136,457,589,453,909,485,134,408,951,787,783,491,
640,086,416,655,271,718,268,704,945,519,193,556,884,610,192,964,242,833,512,
590,861,967,646,833,257,503,586,664,514,991,516,027,471,144,686,425,734,711,
484,138,352,243,639,960,712,344,605,200,915,340,936,668,196,198,183,361,642,
926,620,190,655,288,850,444,660,720,173,362,918,490,417,030,336,434,964,364,
506,653,560,224,014,523,389,344,122,309,979,622,143,327,921,685,944,026,856,
128,924,649,697,044,247,539,158,836,482,139,248,384,214,743,934,342,229,267,
930,408,350,483,902,878,631,907,904,709,621,363,115,396,408,154,032,378,489,
372,260,115,157,403,064,869,661,842,279,106,672,091,558,248,990,817,491,477,
741,153,602,422,395,699,995,669,583,757,777,180,220,220,842,085,085,314,676,
874,312,589,415,668,755,902,157,321,190,861,969,041,795,786,667,619,720,360,
830,605,758,262,327,578,980,212,702,022,278,298,445,949,481,981,794,619,568,
451,153,173,082,496,783,375,930,779,070,900,298,865,280,139,808,458,763,679,
055,705,297,786,016,588,209,202,796,199,444,429,857,165,952,557,640,969,848,
266,306,377,705,955,801,451,104,462,844,107,065,692,018,233,580,609,885,320,
385,734,955,937,976,528,057,210,662,298,972,253,079,023,227,964,230,556,350,
043,100,907,528,437,364,866,306,239,431,457,359,689,828,633,155,198,265,329,
487,842,932,365,478,859,774,225,907,718,519,077,110,654,610,238,831,747,450,
108,262,613,849,249,940,067,639,430,881,479,873,274,193,253,469,180,316,317,
964,006,635,250,378,428,960,949,220,868,866,171,305,385,831,916,505,138,841,
004,903,127,588,431,408,353,284,151,441,063,611,237,551,189,527,711,212,025,
659,654,586,343,532,757,161,872,417,061,219,628,187,870,828,718,653,097,605,
173,262,857,831,789,241,792,753,082,871,096,808,029,523,385,748,132,367,152,
138,277,468,208,451,623,413,641,852,246,498,653,436,662,058,283,510,381,848,
084,545,247,826,945,252,592,882,320,135,516,489,305,677,820,966,638,050,047,
135,169,472,615,061,077,852,468,631,502,830,824,738,014,895,761,031,916,959,
025,480,185,153,213,462,783,395,066,060,902,129,413,517,942,289,113,953,571,
865,259,108,743,528,118,429,024,678,689,988,094,625,991,062,476,490,817,626,
789,504,569,816,938,228,600,467,090,762,127,582,836,888,913,012,795,733,427,
417,733,462,000,300,706,727,951,689,451,531,224,088,883,683,871,138,602,442,
216,419,053,237,189,648,319,613,822,212,459,277,656,856,072,742,021,277,235,
277,644,393,774,881,418,459,729,458,433,405,469,582,546,881,099,562,401,329,
832,512,829,503,357,311,444,667,162,996,221,479,151,961,124,505,087,781,479,
558,953,540,873,550,996,102,983,167,344,965,386,989,033,714,826,305,715,324,
182,997,368,721,902,369,373,082,584,068,783,524,133,838,213,016,730,407,108,
745,172,539,759,808,812,521,860,276,488,638,783,639,452,096,137,804,560,510,
058,766,539,995,020,094,283,745,039,805,164,558,518,251,287,941,874,106,835,
086,340,763,017,198,516,593,209,136,408,912,514,403,925,194,769,442,072,781,
622,387,997,550,360,118,804,955,164,648,185,983,363,060,476,277,541,901,368,
640,063,595,866,208,964,572,500,385,815,983,408,686,110,622,083,293,668,675,
545,300,094,555,456,975,332,963,116,485,801,624,834,975,252,416,931,678,712,
900,333,427,174,802,192,016,664,965,895,190,310,014,743,396,694,100,121,380,
598,512,477,297,485,748,892,991,625,596,219,283,636,652,407,015,378,402,374,
708,903,106,675,612,382,383,819,762,422,619,505,429,792,560,275,709,419,649,
293,349,424,400,478,509,481,152,971,913,390,338,133,584,483,477,397,428,950,
877,957,128,214,403,388,119,478,909,728,730,776,924,393,125,239,986,032,537,
783,585,019,380,426,086,807,103,289,165,156,182,846,031,105,900,971,846,969,
032,373,939,338,483,767,948,177,423,386,430,270,932,170,275,740,238,976,186,
024,456,898,907,153,453,770,244,924,409,916,317,736,685,497,146,323,417,457,
174,640,373,052,063,955,275,207,609,870,092,440,458,506,669,129,246,611,221,
440,417,855,441,141,503,835,830,170,452,718,468,853,672,408,776,063,464,063,
824,560,104,129,314,787,338,867,360,005,860,533,102,933,273,220,758,498,080,
597,768,523,191,907,191,317,705,686,038,585,750,356,321,883,503,909,020,036,
122,932,196,791,014,558,378,266,739,706,809,290,974,588,655,726,102,593,966,
539,380,089,810,425,781,903,627,913,569,509,694,905,069,630,329,496,557,189,
762,707,491,071,437,122,952,799,487,266,769,215,217,435,606,126,444,608,332,
259,021,754,892,050,256,031,633,177,992,350,044,456,538,868,446,597,567,499,
210,063,522,285,052,319,848,021,645,157,741,718,468,359,241,178,343,599,504,
009,207,461,268,412,084,462,691,861,979,680,365,700,966,971,920,713,316,605,
420,316,094,954,958,407,339,748,044,660,402,139,799,124,966,406,082,885,052,
958,657,222,068,466,173,973,155,133,230,048,204,485,896,928,907,736,024,953,
145,510,180,216,085,469,534,667,696,088,915,142,570,825,864,035,943,649,065,
405,482,496,269,652,053,676,591,237,749,745,724,931,967,393,900,733,075,574,
655,588,918,872,282,999,299,704,542,676,151,895,895,078,939,193,165,544,852,
274,898,499,139,869,330,181,477,999,402,954,797,418,553,575,530,473,720,729,
566,778,985,223,617,079,964,328,975,992,340,273,697,776,355,934,791,795,511,
663,820,050,278,209,981,018,940,958,312,709,029,795,855,718,482,115,901,871,
693,470,840,123,937,862,582,815,111,314,187,966,531,137,170,403,765,753,534,
345,628,531,533,919,648,451,915,561,384,960,601,299,721,257,597,157,965,911,
607,543,882,067,482,795,179,608,859,006,749,948,225,320,402,997,901,285,885,
586,565,307,172,969,855,799,766,249,003,799,305,721,923,546,537,348,280,011,
598,669,240,877,094,166,702,557,966,956,592,953,362,528,186,537,391,621,534,
776,245,251,021,647,195,348,921,293,096,119,024,600,992,566,224,060,680,782,
771,914,845,230,203,414,606,559,729,124,118,152,329,231,250,174,745,257,830,
959,371,354,958,955,022,029,520,722,655,929,060,970,208,603,495,193,249,229,
560,412,316,211,684,455,501,192,823,923,243,679,182,248,246,025,851,051,674,
915,642,639,244,838,512,178,164,423,772,839,143,895,557,118,200,938,616,700,
594,476,745,936,970,929,843,342,526,569,356,700,024,868,473,325,980,365,618,
851,599,376,053,441,805,111,900,334,045,784,384,439,988,144,351,866,310,161,
326,814,626,346,891,866,788,619,164,688,543,935,665,195,263,434,544,314,619,
698,828,528,004,200,227,423,867,194,861,125,956,363,423,243,784,247,499,109,
457,585,155,497,391,632,214,721,271,209,264,143,767,294,196,099,473,158,044,
369,044,725,759,315,777,567,272,687,185,278,272,698,947,938,749,780,262,044,
189,522,521,277,238,387,559,418,903,777,063,295,418,532,539,265,422,874,087,
386,827,946,238,936,672,251,379,458,651,472,050,850,001,674,820,336,567,253,
670,235,975,608,120,774,095,616,147,244,801,350,841,138,998,831,536,536,065,
184,917,977,080,832,855,114,128,152,759,551,524,844,385,332,939,094,518,241,
901,228,328,559,629,193,995,468,611,597,685,208,297,677,562,616,423,485,277,
744,808,864,749,522,098,326,720,265,324,285,353,114,286,681,316,613,407,253,
436,396,390,814,900,391,748,771,295,983,974,719,567,020,905,250,887,493,124,
145,147,119,600,565,161,019,110,129,581,003,625,863,371,825,793,208,090,911,
677,722,673,039,274,116,535,707,465,258,006,375,412,098,537,336,498,892,108,
917,582,058,204,135,376,271,773,461,670,072,070,211,811,367,490,241,230,665,
447,475,656,147,558,322,445,254,417,475,090,063,417,435,590,414,656,322,331,
410,567,451,945,571,796,697,484,481,314,964,455,467,980,087,628,351,703,061,
640,227,039,447,452,312,990,351,251,521,903,541,723,154,314,138,944,879,572,
628,090,908,017,424,712,465,158,130,177,310,113,563,916,589,738,086,144,881,
560,427,008,965,060,758,191,054,777,064,054,765,470,093,303,627,224,578,575,
844,608,787,494,919,898,878,003,981,380,867,478,841,368,449,603,769,136,988,
523,131,308,105,330,761,212,037,692,896,160,021,001,313,430,898,178,765,796,
150,061,022,833,596,495,055,093,668,748,251,688,492,765,615,223,451,563,225,
990,515,436,406,556,055,181,523,387,707,053,120,807,176,325,974,610,267,706,
950,193,358,383,980,560,627,197,070,012,219,904,300,267,800,678,322,705,811,
467,679,400,928,501,972,864,853,827,284,311,211,283,277,878,675,094,745,620,
200,781,344,458,635,865,844,816,211,444,714,586,691,486,431,582,404,372,732,
721,279,342,494,822,579,004,233,453,095,753,472,620,008,774,933,285,300,816,
342,889,318,715,826,791,853,900,690,055,280,093,748,774,357,919,240,350,838,
876,455,181,650,332,857,923,757,670,318,373,287,522,827,051,527,371,014,868,
760,763,972,671,627,534,957,216,035,334,636,825,397,899,167,909,040,220,113,
802,154,638,188,661,583,387,847,140,759,601,686,309,582,154,846,075,724,051,
493,025,374,247,093,663,396,884,936,559,753,264,071,628,273,739,351,881,818,
810,013,959,292,704,372,550,206,540,471,591,410,357,992,440,204,723,230,162,
341,330,770,761,411,154,268,743,636,041,906,887,169,971,904,919,314,595,937,
101,716,863,950,757,540,796,586,103,972,798,361,868,618,270,524,399,638,445,
387,626,162,790,281,462,425,508,013,252,457,125,631,484,286,596,373,753,207,
436,888,025,368,867,120,627,336,193,236,019,024,596,676,349,841,067,527,000,
225,735,355,608,239,075,622,829,901,554,569,059,654,174,060,436,184,742,787,
051,871,387,290,630,317,138,730,119,692,580,968,492,904,896,135,732,998,755,
351,793,258,577,805,395,404,593,318,416,645,316,589,914,802,275,515,309,619,
416,575,004,408,696,560,584,077,678,179,901,697,078,292,339,957,324,972,293,
188,558,414,763,321,089,374,931,423,064,748,052,775,414,099,369,508,082,430,
445,049,217,680,521,774,845,221,301,058,607,746,414,302,360,341,864,373,836,
214,111,208,603,874,747,283,545,791,770,229,071,587,837,856,317,096,169,021,
438,780,314,215,204,505,333,277,293,859,366,974,599,833,434,403,301,511,686,
784,547,412,505,851,199,548,020,364,079,257,626,370,674,402,938,023,511,537,
921,664,096,402,663,116,793,395,270,426,525,485,500,416,385,289,690,749,300,
288,129,548,014,093,284,725,766,827,040,622,535,384,826,079,380,986,906,146,
636,034,016,536,420,796,128,396,364,250,228,059,972,477,293,957,338,783,835,
321,012,055,160,961,745,239,150,091,396,549,243,184,908,903,519,941,577,248,
505,061,386,860,703,839,544,574,607,265,488,412,146,537,225,056,306,888,441,
381,317,839,990,745,105,497,373,480,624,088,185,991,486,053,508,543,214,598,
389,627,754,940,584,947,564,590,592,567,622,287,150,635,054,563,874,524,842,
560,673,537,195,714,036,404,466,225,646,356,517,229,621,063,677,865,907,538,
015,686,243,336,838,571,444,511,179,916,688,750,347,978,144,448,645,504,236,
993,080,041,817,116,622,911,002,414,070,040,650,741,881,677,107,659,670,406,
236,260,626,383,210,321,762,045,724,797,377,941,038,822,601,505,791,152,590,
903,745,645,045,966,140,458,273,730,436,658,273,107,796,601,259,956,469,910,
340,147,686,848,202,541,250,446,814,624,366,941,985,761,557,467,942,737,998,
501,330,018,387,087,857,770,929,259,662,301,768,878,312,075,906,672,200,361,
171,621,315,624,459,336,105,634,474,944,485,407,016,397,021,793,903,051,266,
825,044,639,174,445,227,348,066,182,361,158,000,338,845,674,634,442,459,156,
725,727,839,214,909,033,129,629,922,195,273,247,754,217,732,972,986,709,640,
115,327,681,803,103,684,264,844,893,897,573,246,880,017,649,052,929,023,062,
825,253,078,171,863,761,839,602,399,650,851,528,021,151,388,652,121,194,167,
031,479,835,169,146,213,309,973,480,879,163,691,256,644,290,438,308,252,309,
417,347,943,463,620,359,424,151,800,453,296,140,661,179,377,046,044,688,350,
339,968,786,384,778,506,837,783,464,334,479,282,406,905,511,877,598,169,436,
300,567,774,816,895,408,132,364,884,823,640,466,537,600,835,894,310,611,702,
326,717,304,420,615,924,372,168,054,847,289,543,728,780,064,220,192,758,112,
606,655,110,243,872,648,258,863,102,716,541,154,399,999,323,006,902,587,668,
669,792,963,227,466,407,265,855,190,262,939,589,550,514,378,230,348,353,826,
169,788,025,598,616,605,245,917,518,060,051,287,275,384,957,489,099,370,443,
218,913,842,160,824,193,833,621,913,954,254,200,832,332,235,177,786,324,116,
179,233,445,859,813,242,631,338,581,750,811,422,421,262,193,597,766,583,082,
180,911,642,478,500,405,844,368,847,339,262,598,638,686,498,751,483,421,689,
217,273,754,594,879,827,502,018,710,985,906,278,063,835,777,586,857,266,134,
705,269,974,551,378,377,270,538,849,002,056,200,640,540,280,211,452,665,631,
711,298,169,357,519,503,478,976,903,395,194,344,835,209,928,551,672,710,444,
035,509,851,222,818,743,093,493,433,865,273,840,730,696,424,877,543,389,264,
930,650,476,593,988,395,790,291,193,747,555,600,091,453,551,507,691,744,859,
288,240,755,913,532,489,614,862,138,142,059,817,729,720,520,385,849,824,259,
146,873,341,626,536,282,238,603,522,342,109,979,041,446,973,134,387,291,695,
151,590,490,747,936,948,347,036,852,000,384,308,748,504,723,056,354,200,428,
733,974,640,479,715,258,749,824,600,078,096,409,583,366,114,667,478,416,962,
802,750,408,385,426,880,960,765,611,859,219,930,241,104,221,821,741,460,060,
877,146,148,683,187,461,331,165,036,552,454,510,065,726,507,089,409,895,769,
993,428,789,197,579,115,192,176,126,232,892,990,465,821,420,589,981,324,063,
083,979,320,013,492,924,426,038,773,038,981,799,646,607,354,142,774,735,988,
446,723,159,794,807,695,620,008,065,130,910,884,059,179,538,120,110,637,670,
919,801,724,238,715,099,257,667,044,939,091,359,873,956,989,563,740,767,362,
056,645,548,467,639,212,988,943,041,964,278,283,673,446,363,616,720,134,269,
066,259,634,079,831,362,643,917,003,441,817,530,719,321,276,857,866,966,114,
797,364,452,958,688,859,056,915,665,156,779,963,024,052,430,937,323,091,942,
855,272,369,805,848,028,647,196,802,346,576,598,830,586,887,850,441,957,269,
960,743,573,139,726,414,198,470,231,516,062,513,816,619,182,740,102,356,227,
604,308,804,534,791,249,279,361,534,006,727,130,937,676,976,235,087,268,116,
034,153,662,685,073,670,955,557,823,132,584,771,111,597,018,930,880,948,065,
331,099,588,160,020,137,907,545,973,531,447,807,548,448,871,009,274,773,267,
735,663,878,700,198,180,342,151,962,270,558,795,688,103,238,429,663,137,217,
021,441,039,550,964,484,899,783,800,772,577,230,916,353,350,254,454,119,616,
359,943,200,489,828,770,682,405,760,248,368,719,242,254,871,731,946,127,132,
590,722,369,008,712,165,260,918,266,394,072,214,708,129,696,172,737,926,885,
199,336,190,366,174,716,932,918,367,901,480,386,960,139,358,636,195,588,694,
613,062,846,176,514,115,708,981,831,631,288,252,194,951,197,588,630,851,305,
687,052,560,504,955,099,970,639,624,484,687,893,566,666,885,138,435,442,143,
094,953,597,721,894,813,584,976,933,151,761,610,187,568,192,630,351,134,199,
755,386,607,568,390,512,205,959,249,431,789,641,305,530,983,288,336,138,393,
848,999,287,228,264,730,501,321,429,206,947,430,807,720,174,281,225,358,522,
908,398,755,364,929,550,141,514,928,590,216,548,262,931,468,739,187,054,081,
233,387,257,430,935,296,362,114,368,989,735,798,332,142,860,783,897,285,655,
731,009,466,850,820,613,185,767,567,569,125,449,247,206,249,350,470,715,449,
031,688,670,693,693,837,884,980,062,257,194,251,240,665,411,326,543,059,179,
674,695,811,993,503,019,631,397,310,546,189,080,272,777,199,701,630,983,776,
294,194,806,168,722,661,827,662,605,565,096,786,825,037,943,274,660,853,546,
697,076,020,602,633,707,521,849,082,826,935,557,190,038,069,034,848,613,086,
335,069,496,710,254,927,147,192,569,774,529,143,726,445,498,331,088,224,929,
261,783,397,485,275,254,263,662,042,097,569,072,189,322,192,588,985,338,439,
950,785,351,423,887,358,492,179,268,400,084,601,924,192,846,205,523,005,818,
757,666,290,257,800,304,631,463,437,918,444,034,294,415,022,194,561,487,976,
906,139,116,701,360,015,320,847,299,006,178,809,810,005,158,088,590,462,087,
561,974,433,614,422,436,584,971,924,088,490,142,984,465,111,173,275,762,859,
786,721,076,706,519,529,200,641,837,889,738,242,737,457,707,621,250,523,673,
377,408,495,851,736,150,529,725,936,082,917,500,889,514,616,152,371,213,982,
024,132,496,246,506,960,748,091,267,094,977,556,239,006,962,340,983,703,354,
035,284,434,368,966,806,737,687,730,262,060,686,393,033,874,343,934,986,848,
156,862,267,103,797,173,057,025,390,455,546,244,286,898,333,374,640,396,888,
418,563,693,700,651,555,148,792,690,737,531,062,807,482,711,984,044,039,674,
778,288,818,943,115,547,163,550,153,826,508,381,097,572,033,891,812,810,800,
909,906,774,067,785,085,458,354,226,628,240,073,323,905,846,019,182,352,435,
311,438,310,782,192,388,831,331,888,986,706,403,185,682,523,799,201,841,065,
273,418,919,645,577,383,626,911,771,177,375,267,582,365,347,210,739,490,339,
661,030,775,928,671,221,512,430,219,675,574,531,369,961,130,817,640,092,530,
383,143,430,920,203,183,358,094,000,250,105,573,391,488,194,005,758,842,140,
606,262,605,563,868,613,656,535,761,141,703,241,443,658,369,312,099,786,168,
393,702,372,840,081,452,370,969,429,290,671,725,963,121,092,099,082,907,729,
745,452,390,231,633,332,174,376,306,772,730,258,661,501,170,418,916,672,190,
081,718,068,472,486,011,105,521,182,151,078,154,789,058,581,014,642,709,647,
316,668,224,867,522,094,091,621,670,981,811,821,890,388,140,510,478,724,658,
947,497,556,007,646,897,215,266,047,520,394,887,539,416,560,876,913,001,196,
387,378,507,810,565,500,057,916,646,533,654,460,121,163,575,452,981,533,524,
438,643,435,887,444,665,322,289,109,013,232,189,438,050,376,296,396,117,282,
141,610,734,678,807,636,031,448,490,534,782,574,189,635,890,630,310,933,405,
582,089,517,478,359,865,713,436,900,999,839,210,435,441,966,567,832,759,507,
494,206,636,715,356,721,758,026,416,219,408,237,834,800,478,202,594,324,260,
675,249,087,622,587,441,540,716,022,207,724,031,998,506,915,267,038,076,027,
020,973,490,368,227,113,256,679,004,513,582,584,809,456,673,025,897,753,943,
755,787,297,211,900,621,353,642,531,850,563,334,094,679,556,721,270,084,298,
259,359,582,496,545,602,065,313,167,379,084,709,343,548,222,229,284,977,228,
206,712,062,335,712,208,864,496,160,590,958,246,296,759,734,733,768,232,944,
323,090,597,714,151,380,825,237,475,106,756,182,229,114,857,829,986,665,619,
486,196,985,130,630,223,079,164,246,467,625,139,522,622,680,819,184,815,402,
243,692,107,827,691,882,585,507,473,474,009,793,573,689,527,378,182,325,941,
453,671,207,655,816,623,298,442,395,197,404,407,835,233,519,188,173,400,172,
627,352,979,729,340,471,676,420,377,176,434,074,381,529,381,453,598,406,439,
072,780,083,011,426,606,511,571,271,745,999,880,819,611,468,471,690,976,153,
113,384,387,556,784,159,832,059,325,160,183,437,859,252,276,903,635,504,796,
062,659,750,676,712,802,913,600,373,404,213,911,331,516,447,499,486,362,486,
598,907,946,299,598,568,747,127,364,698,941,896,031,153,981,740,857,459,399,
783,313,765,611,321,798,325,615,443,144,638,950,749,794,603,662,553,476,255,
583,560,159,889,290,985,422,617,206,314,624,093,224,927,736,594,196,720,283,
556,239,915,566,084,248,728,716,994,559,442,191,721,258,162,893,807,509,398,
294,052,153,362,323,567,385,109,747,713,651,711,804,655,791,877,895,943,738,
694,609,400,242,146,405,763,531,416,640,854,643,846,243,484,351,637,659,130,
565,312,951,712,949,453,447,848,734,597,967,238,011,330,309,305,620,164,124,
526,074,074,850,522,211,050,362,393,885,388,889,477,609,824,475,467,718,496,
968,152,573,703,084,967,002,456,655,905,679,705,520,143,316,680,011,622,495,
966,345,554,234,759,705,618,969,810,480,122,670,421,755,594,316,198,311,828,
623,387,074,020,499,803,424,094,225,826,155,809,173,626,797,147,582,372,366,
395,726,200,652,731,559,208,929,407,598,995,498,381,462,216,735,035,672,546,
251,643,800,670,527,753,005,832,575,552,576,236,514,999,231,058,847,940,907,
336,781,551,692,975,099,342,485,199,340,333,255,072,765,597,796,312,167,344,
812,727,809,140,959,953,028,907,256,049,352,040,469,684,252,489,578,089,423,
155,971,828,357,796,067,357,161,310,961,841,704,501,527,531,154,190,818,259,
147,610,834,338,705,197,844,387,002,532,726,420,411,216,947,320,587,707,316,
179,269,209,481,150,761,289,881,862,389,540,894,604,530,382,270,361,082,738,
957,582,085,743,736,092,238,701,783,274,187,705,699,398,870,112,263,184,097,
792,318,137,870,296,309,341,492,433,293,613,377,005,450,212,440,503,645,754,
943,007,546,251,829,492,630,895,084,694,788,707,104,390,712,256,603,482,601,
874,660,606,129,116,470,975,093,655,619,797,050,448,008,410,572,455,321,987,
810,926,867,030,260,436,540,268,446,300,381,690,050,136,438,403,476,077,945,
807,376,701,542,710,557,571,987,438,549,191,995,377,562,540,257,004,576,256,
743,703,143,021,636,999,440,256,090,259,639,675,929,275,145,579,606,121,876,
396,124,650,383,396,972,568,313,901,472,810,705,175,148,726,478,006,673,094,
790,680,447,075,080,156,781,075,821,475,233,220,314,748,740,835,434,513,049,
009,062,811,942,673,232,756,360,031,291,402,312,820,812,944,392,996,746,536,
156,717,011,299,376,368,801,873,828,496,571,668,606,970,537,231,849,542,037,
327,302,959,852,136,381,727,163,596,630,349,505,938,459,233,762,955,305,304,
200,886,291,388,245,381,840,570,921,102,915,842,818,084,538,857,690,510,573,
504,517,937,403,473,916,232,830,868,398,977,636,014,025,355,679,376,262,366,
562,180,543,477,224,542,986,156,572,839,291,920,434,525,194,867,231,809,114,
575,883,433,588,279,122,701,834,009,274,808,826,077,525,178,238,788,702,305,
704,106,638,832,198,842,512,340,295,421,184,707,162,452,988,864,172,952,600,
834,347,623,647,394,273,631,145,282,424,283,317,983,433,993,518,342,557,428,
470,666,582,271,109,265,682,246,713,935,514,840,588,316,375,320,074,281,046,
676,407,898,635,555,484,335,898,573,263,323,864,776,353,227,229,141,273,541,
625,523,826,123,634,069,987,077,778,683,748,409,117,743,707,227,210,828,085,
569,646,502,222,242,322,462,248,096,448,998,733,322,572,619,459,589,327,898,
677,591,709,296,221,609,146,140,582,427,572,106,394,067,868,671,061,490,014,
300,302,490,828,552,020,933,094,444,257,242,934,315,079,005,277,863,488,048,
929,759,210,842,233,504,857,613,782,169,676,746,749,003,771,222,933,307,387,
734,264,555,743,233,183,250,379,391,505,535,625,717,730,494,036,784,254,806,
813,385,766,712,575,963,461,596,989,438,949,557,546,839,068,624,321,760,026,
135,642,111,196,021,352,964,273,063,293,025,770,104,503,608,735,027,670,779,
416,575,671,686,622,381,252,428,758,077,325,772,014,937,840,794,312,201,395,
589,304,717,446,191,845,224,739,943,157,948,082,630,680,617,786,630,661,314,
110,314,167,686,979,233,713,063,085,201,300,807,921,789,985,427,349,873,642,
920,234,325,408,974,671,872,306,983,260,160,908,896,267,277,320,113,602,887,
628,652,885,297,009,909,066,204,030,588,871,132,693,244,584,951,077,696,286,
274,370,336,960,963,705,389,707,038,939,454,389,047,717,784,392,760,726,729,
069,053,135,941,861,545,895,060,356,777,141,132,568,340,702,668,294,689,067,
154,303,164,188,560,755,879,520,807,146,655,753,285,316,995,588,732,582,816,
204,230,311,348,443,220,730,535,604,316,454,822,976,043,186,375,786,687,632,
287,615,809,979,525,467,507,760,552,428,956,547,664,394,330,936,616,907,892,
392,685,320,999,838,404,294,414,367,309,417,760,970,589,518,849,331,044,928,
818,063,212,889,746,359,555,426,061,404,860,140,840,248,444,973,428,539,024,
766,308,751,175,011,728,863,547,856,076,533,002,105,609,137,760,587,369,747,
255,414,013,309,072,508,091,540,700,154,430,906,493,170,402,068,060,819,840,
146,717,594,975,047,901,268,794,340,689,678,032,695,213,056,441,497,236,115,
947,961,451,522,214,962,559,442,860,604,349,406,361,771,701,831,311,594,453,
687,910,799,007,630,636,065,270,822,583,911,463,573,322,639,351,979,692,059,
355,828,321,622,701,073,376,347,515,933,796,104,606,817,505,741,965,972,335,
941,545,066,691,126,685,528,320,804,680,948,452,973,636,373,104,782,340,166,
673,425,622,968,402,925,039,463,368,564,685,949,368,705,075,485,916,886,142,
364,476,074,740,493,334,084,447,208,909,408,162,875,610,635,261,496,018,652,
050,736,102,089,494,110,542,986,524,179,499,199,670,123,157,496,931,487,507,
499,520,815,964,451,779,745,409,682,794,427,290,069,772,158,756,905,527,079,
653,574,385,141,080,004,285,308,364,292,984,533,595,949,833,803,912,986,704,
848,083,432,098,596,238,970,203,640,245,657,083,520,114,483,797,043,185,246,
746,519,876,119,511,072,555,907,760,643,335,948,275,137,784,921,746,053,118,
816,623,827,646,177,186,364,221,272,761,281,748,779,292,389,656,222,860,800,
390,865,645,081,433,969,739,205,731,487,753,274,970,279,157,800,718,966,352,
420,346,525,032,182,102,206,533,643,474,224,859,753,007,099,703,117,680,176,
433,666,978,881,448,015,113,718,909,095,023,730,306,478,746,348,161,672,961,
606,755,573,324,489,488,253,397,453,015,920,495,801,944,946,358,695,977,616,
273,772,076,504,073,129,394,169,626,793,496,032,858,475,582,739,263,019,730,
342,175,085,267,814,536,346,141,721,315,630,469,617,421,297,591,150,642,786,
012,538,867,207,667,999,591,487,253,812,789,171,448,029,435,568,621,100,023,
363,183,718,895,887,298,701,808,508,286,636,248,412,843,182,929,165,081,532,
227,686,193,831,024,877,187,631,267,625,793,431,352,203,875,305,713,423,884,
795,557,001,358,442,481,062,718,769,179,208,591,308,657,734,128,637,396,306,
330,582,457,375,137,438,513,402,250,573,059,915,187,649,156,043,101,052,609,
461,656,621,123,278,361,405,122,263,844,989,511,002,730,519,742,601,962,452,
542,286,931,120,441,773,997,520,125,263,066,993,418,068,677,959,295,979,303,
962,795,561,687,049,474,988,509,246,761,854,779,545,062,584,233,258,317,397,
969,071,107,982,147,614,218,399,471,988,460,540,865,669,746,850,594,972,675,
964,511,836,025,374,646,112,406,104,959,187,858,487,297,623,997,750,723,635,
647,350,738,892,047,752,488,297,729,471,214,049,289,548,097,687,764,427,775,
658,830,701,378,432,719,977,683,942,254,401,480,047,854,783,943,683,945,373,
956,495,489,941,194,469,129,623,756,264,753,397,427,235,781,450,668,870,238,
737,873,295,285,963,898,288,378,127,503,815,246,568,165,046,897,524,517,572,
887,499,171,945,247,377,912,002,321,204,341,914,442,762,438,955,937,032,196,
707,385,267,997,775,992,583,886,376,616,089,100,177,199,149,827,465,550,839,
633,653,636,135,918,870,371,185,223,920,220,968,539,787,769,132,815,467,479,
401,752,379,167,246,477,887,734,743,429,283,226,971,009,989,096,679,451,317,
583,946,602,189,958,822,123,332,914,877,266,761,975,962,112,374,152,721,267,
237,257,269,270,735,820,981,609,171,341,953,818,779,303,478,919,754,884,656,
180,331,470,374,008,698,120,689,563,851,667,567,010,349,542,228,686,512,477,
533,177,261,927,800,194,956,064,086,094,381,200,634,127,987,697,419,708,442,
428,036,909,151,785,424,855,505,304,924,619,555,509,812,773,552,483,294,257,
697,495,648,475,858,698,910,337,962,971,392,166,082,631,330,775,182,729,046,
462,655,550,547,775,472,304,418,045,507,202,995,455,545,685,905,637,301,050,
835,658,954,435,520,715,442,550,805,282,455,124,135,232,474,382,812,147,028,
999,042,410,170,576,825,917,248,117,734,146,190,773,219,994,473,708,707,390,
506,360,307,892,045,508,650,568,911,727,941,717,872,767,703,079,528,313,245,
099,282,396,576,386,482,915,653,534,363,153,312,955,975,472,187,938,712,543,
938,228,332,338,165,073,733,334,815,259,493,021,451,921,718,758,886,861,243,
308,330,720,441,090,549,025,510,599,865,658,814,978,357,551,140,707,584,797,
687,118,017,472,018,541,231,543,378,847,923,963,328,814,173,216,856,594,101,
261,470,041,351,808,104,931,449,120,275,500,387,678,999,835,024,399,455,985,
801,313,258,122,298,289,417,508,923,485,199,268,180,422,383,309,290,799,598,
497,445,433,073,313,141,812,510,862,809,199,834,598,898,427,398,156,118,134,
426,891,934,260,127,272,541,173,387,852,048,853,522,151,169,411,673,320,133,
352,773,721,480,166,732,287,697,546,708,882,263,790,087,785,072,507,654,868,
048,092,911,506,556,202,117,682,673,073,475,634,247,520,169,052,973,129,206,
109,010,549,034,214,508,606,408,823,512,137,058,154,573,624,520,339,734,819,
419,902,049,097,168,785,773,078,456,204,560,221,002,950,016,305,683,954,185,
242,351,495,744,130,803,649,114,004,072,555,471,156,884,597,281,283,412,610,
824,298,523,252,583,900,404,652,108,137,317,588,450,951,839,838,408,683,942,
795,234,057,945,483,601,072,336,908,958,957,848,782,229,421,186,610,658,173,
106,834,362,009,424,105,578,998,663,393,031,260,155,556,459,466,760,767,654,
079,261,074,715,966,206,639,743,525,328,945,279,332,241,313,218,721,450,549,
904,369,053,267,740,073,144,756,443,249,443,467,353,741,612,012,606,235,693,
883,953,967,550,588,642,184,236,789,210,900,197,509,440,042,425,476,932,066,
301,940,046,571,119,145,902,905,935,956,281,973,689,640,877,993,238,866,921,
248,247,476,747,307,480,162,760,021,330,190,274,806,368,564,657,876,552,709,
318,678,568,346,427,766,018,402,855,803,010,172,967,615,941,117,649,926,772,
629,059,464,090,300,253,716,262,523,873,475,203,304,597,026,876,594,205,058,
984,346,125,086,301,916,795,578,379,359,827,243,894,791,388,938,143,892,235,
168,453,250,948,917,919,659,037,664,449,557,541,816,035,138,369,070,600,947,
003,689,678,117,752,451,618,016,295,108,341,641,937,375,587,706,638,610,064,
921,952,883,614,833,358,666,935,312,551,568,991,657,289,527,390,011,431,512,
731,456,922,850,390,047,386,077,029,318,005,552,281,557,110,639,018,667,238,
651,134,525,941,333,595,050,247,136,678,232,757,595,881,997,221,972,520,974,
885,281,205,286,387,293,630,493,767,164,624,857,107,379,916,956,781,365,904,
657,377,529,915,844,642,185,204,996,400,138,224,319,456,839,798,202,833,689,
892,950,437,196,979,779,288,283,942,562,339,635,940,272,402,742,906,216,353,
765,599,599,077,081,260,750,003,893,209,800,214,394,033,445,346,026,443,078,
323,339,262,649,325,193,737,570,762,555,745,079,523,225,894,492,661,919,994,
741,963,806,900,230,110,181,217,982,972,215,021,313,049,487,695,932,995,155,
633,463,563,413,781,348,534,808,880,950,766,180,600,215,126,632,548,073,285,
596,629,692,733,581,887,561,571,105,354,378,265,945,213,187,176,239,412,655,
082,055,774,278,579,119,683,568,754,940,035,906,601,785,445,494,632,884,352,
779,672,929,639,472,106,398,259,104,265,055,884,112,191,252,777,444,053,266,
928,659,004,854,896,470,057,956,281,540,046,321,537,028,570,347,620,364,836,
795,418,924,479,698,608,311,418,129,534,775,613,221,550,274,808,489,521,950,
858,216,801,472,236,330,395,463,874,159,627,785,027,135,447,128,331,794,703,
487,144,350,664,318,703,852,781,484,067,957,884,668,877,448,461,331,118,358,
564,230,057,886,680,214,139,677,000,443,078,963,317,597,271,493,117,632,633,
557,194,113,302,247,752,406,591,160,908,217,303,580,953,765,183,251,005,820,
959,616,280,189,469,597,869,329,923,536,479,771,648,891,343,499,737,673,677,
283,168,396,388,787,991,071,170,748,264,667,381,395,936,003,334,463,132,707,
144,675,352,949,937,697,528,859,923,332,520,347,271,338,425,157,236,173,609,
952,335,934,593,099,505,958,720,785,193,065,226,025,819,925,987,336,645,946,
284,983,175,768,217,032,849,992,737,990,817,629,885,902,468,967,322,420,042,
809,253,740,450,645,884,297,056,272,935,099,835,908,086,498,010,888,743,180,
012,350,216,500,200,010,881,539,100,007,422,910,334,599,682,155,304,530,053,
755,979,521,823,808,367,754,716,200,434,267,470,161,221,804,692,109,835,951,
012,130,917,890,383,249,558,203,835,144,177,435,873,558,555,052,337,621,496,
250,309,285,645,096,676,575,566,020,729,041,774,322,369,085,357,270,707,442,
781,176,589,004,235,434,531,156,414,502,870,967,464,080,138,921,197,996,780,
206,813,934,984,519,626,935,529,139,321,703,856,597,840,860,450,653,098,123,
517,574,278,204,257,947,295,705,688,658,618,443,197,843,955,606,463,044,997,
288,228,932,335,426,400,751,518,527,286,912,457,988,734,202,039,928,376,496,
265,981,771,976,430,906,026,447,914,050,038,407,460,038,889,336,570,448,106,
142,882,469,792,552,836,897,542,936,183,864,566,318,204,599,520,174,268,807,
054,833,178,214,705,957,683,351,632,466,217,009,405,037,776,351,910,523,194,
604,484,656,149,552,045,847,694,865,429,972,444,480,822,391,753,645,236,232,
836,181,634,201,027,904,311,574,021,438,915,647,314,046,791,368,369,216,135,
612,361,227,500,998,511,478,973,641,563,298,916,261,741,524,033,967,293,122,
665,296,479,595,744,934,331,011,700,070,185,253,709,872,377,377,604,756,901,
674,465,432,519,258,478,656,652,576,983,983,865,827,784,179,534,619,762,301,
889,189,267,133,052,629,692,623,510,328,501,085,718,086,972,810,068,209,543,
290,809,770,002,641,522,677,856,525,238,132,621,457,102,378,882,098,946,004,
545,915,314,538,934,785,042,452,387,987,470,308,036,741,020,732,256,347,141,
851,020,256,847,246,054,576,301,360,799,411,174,328,816,571,133,656,296,754,
753,197,135,554,973,262,893,065,756,822,481,681,915,850,851,089,341,511,465,
735,043,878,153,843,936,708,566,331,126,673,353,563,702,902,855,460,198,980,
917,893,829,027,127,710,895,324,066,512,330,582,208,960,389,600,712,697,656,
248,653,510,529,728,070,331,178,838,927,199,591,485,594,551,226,380,376,910,
637,288,628,226,684,418,242,270,350,233,588,963,812,484,913,459,927,150,992,
511,862,914,978,369,947,560,238,242,835,679,495,221,735,582,241,415,479,912,
821,122,656,807,965,487,249,945,009,829,853,813,682,380,230,771,622,196,020,
068,796,119,848,571,367,747,737,975,292,973,487,554,471,584,089,776,261,695,
723,808,194,411,604,878,287,700,932,245,026,238,531,317,800,426,664,534,527,
259,334,370,536,616,510,509,655,595,107,511,482,147,535,560,007,900,903,730,
472,823,991,944,541,583,260,320,893,659,001,646,469,416,322,578,493,740,559,
496,591,650,063,666,544,202,503,281,205,845,601,822,476,876,660,969,438,737,
417,860,699,059,311,855,404,459,309,703,798,051,159,857,019,862,641,918,453,
154,477,202,616,869,104,177,073,256,494,282,243,005,084,288,790,072,441,516,
790,742,002,422,251,329,474,098,140,230,941,932,321,663,736,837,805,768,456,
306,819,501,986,089,625,448,984,759,197,067,030,112,182,219,005,922,589,838,
972,983,307,945,181,662,164,191,484,945,060,926,706,619,310,671,496,439,338,
289,840,335,821,890,007,499,059,024,535,936,600,828,474,957,669,635,237,346,
881,898,773,151,548,626,915,529,371,389,204,791,348,955,264,874,692,860,428,
890,658,722,152,418,316,759,500,318,669,647,256,198,903,974,344,189,940,986,
273,297,691,106,669,297,580,879,698,336,662,066,497,736,896,590,506,653,443,
922,278,013,600,079,342,448,328,744,163,155,252,537,340,786,422,376,699,717,
436,004,629,517,896,587,452,841,125,408,965,810,276,978,773,065,033,100,462,
981,533,302,036,352,238,724,625,687,219,380,405,898,342,819,852,460,310,238,
596,942,679,114,598,408,631,548,712,315,137,234,753,046,907,818,849,235,016,
623,727,098,520,584,749,094,546,215,312,551,292,101,188,444,479,537,887,016,
547,089,673,923,015,068,784,499,086,466,490,137,888,580,787,580,207,911,200,
324,204,989,219,826,703,571,177,478,059,696,394,580,176,177,096,754,685,664,
905,862,569,928,083,308,855,061,835,353,822,305,291,994,895,653,155,557,184,
257,844,010,890,748,094,078,432,756,448,721,767,870,990,779,124,271,446,621,
274,064,465,392,023,460,178,139,973,377,189,689,963,224,917,597,784,163,981,
998,478,329,381,427,406,643,966,600,648,967,067,926,223,186,210,160,386,826,
281,608,480,177,347,170,698,764,115,992,889,235,040,109,048,008,222,080,779,
772,432,248,076,376,749,771,759,591,017,261,717,365,012,736,101,262,523,577,
404,595,856,848,806,226,401,116,477,400,078,247,355,607,304,999,001,257,390,
686,227,672,076,371,649,054,883,931,645,329,568,454,609,373,425,916,597,513,
130,486,886,968,851,590,313,891,857,585,943,989,689,181,785,064,479,929,428,
864,519,360,232,614,069,524,787,755,848,742,515,162,169,760,845,613,899,860,
300,202,221,930,448,153,190,279,851,477,515,119,702,761,615,612,430,392,530,
425,404,463,403,658,309,883,339,349,516,821,882,530,697,935,761,207,698,504,
931,730,465,120,467,778,160,030,146,367,863,337,257,465,583,768,960,484,262,
208,010,406,472,613,879,413,206,281,953,669,671,930,803,088,504,313,336,456,
014,154,513,366,847,294,711,835,260,515,703,903,660,398,694,880,049,121,509,
619,882,090,672,013,883,085,425,803,034,127,471,898,934,038,259,504,464,225,
519,854,008,633,352,952,331,715,343,941,252,699,901,191,804,995,741,474,814,
735,266,805,321,987,363,292,400,673,724,480,622,998,552,468,400,172,286,947,
442,404,933,115,802,688,063,170,341,930,046,334,322,630,332,085,793,068,019,
205,233,966,350,737,536,104,967,132,559,885,719,898,331,620,213,318,577,734,
824,434,758,199,325,297,198,852,772,144,930,961,158,198,629,827,602,497,200,
902,080,272,777,876,008,841,016,805,359,042,306,884,396,064,085,543,437,797,
037,035,167,244,260,144,452,516,069,143,993,777,037,683,966,476,300,055,441,
979,187,883,661,134,532,233,723,525,875,551,472,299,110,271,360,894,585,530,
100,228,027,924,779,499,154,604,170,950,074,782,298,351,706,423,567,354,313,
874,672,029,979,767,811,376,342,815,040,779,319,912,417,325,539,951,140,568,
089,866,681,456,165,576,246,979,604,369,050,316,423,906,877,541,985,848,439,
531,315,858,244,067,942,013,947,468,676,563,595,511,116,255,789,010,059,798,
467,358,322,276,679,478,233,963,115,903,782,500,702,570,940,121,042,594,625,
918,592,162,792,677,785,470,700,063,134,493,883,209,908,026,570,877,484,280,
942,293,867,998,916,804,708,232,018,703,697,193,196,978,207,387,360,575,843,
812,363,389,615,121,511,333,555,702,875,538,946,270,480,729,855,273,827,047,
960,698,033,824,040,206,308,118,980,561,303,721,484,499,718,471,774,870,372,
155,150,679,108,917,703,234,417,010,474,681,415,103,399,704,894,938,484,687,
289,244,720,202,208,650,611,400,485,053,740,401,474,617,324,334,098,087,958,
720,107,775,733,235,076,122,131,751,628,850,400,376,403,572,170,183,138,869,
310,067,057,398,988,162,625,769,922,493,472,116,105,001,908,801,574,961,725,
394,400,182,858,149,874,966,202,637,686,396,191,621,746,952,817,328,999,188,
707,855,430,550,015,537,760,819,584,930,407,567,469,584,188,257,338,321,523,
103,727,476,493,760,845,382,623,871,876,163,124,954,972,469,426,675,506,298,
052,642,203,077,856,495,923,816,759,497,054,260,297,849,174,352,823,174,711,
200,311,141,111,541,942,882,658,901,825,863,602,535,808,499,671,939,139,184,
106,203,350,299,014,109,581,097,825,380,929,520,123,973,463,527,545,871,106,
928,147,287,272,214,054,571,487,658,672,097,761,522,490,984,580,499,518,086,
764,351,182,355,829,958,708,715,811,946,645,055,422,928,391,069,772,146,793,
115,165,721,038,056,699,166,927,230,475,664,763,166,214,917,982,840,680,157,
683,212,837,534,375,256,348,564,811,154,353,504,365,642,598,049,389,940,649,
897,063,802,505,088,616,823,882,283,509,368,298,402,883,062,607,373,310,955,
939,238,596,976,020,931,568,561,982,003,361,974,254,434,464,544,780,903,437,
722,265,958,856,455,658,993,598,797,210,934,697,453,784,638,519,222,290,849,
440,718,860,917,466,005,817,147,050,241,784,607,437,958,743,614,911,951,265,
428,383,025,282,171,912,505,757,346,485,534,702,179,587,966,580,196,511,659,
984,557,279,990,355,949,208,852,826,805,504,951,167,594,135,405,732,741,515,
776,245,342,560,055,785,587,143,743,237,569,199,051,806,497,849,755,668,937,
970,971,796,914,111,636,425,422,029,497,330,283,554,618,637,129,132,379,120,
141,827,437,662,124,182,681,667,201,564,606,564,836,920,901,101,536,699,619,
681,850,318,317,475,762,795,652,672,066,706,094,148,238,209,013,701,056,003,
257,143,514,978,869,436,277,602,055,024,403,907,104,400,209,354,892,817,965,
270,043,535,259,336,890,257,621,120,060,913,038,187,073,582,991,752,458,104,
010,169,949,733,085,665,988,468,505,258,132,322,327,133,231,529,884,826,745,
431,929,531,769,730,491,706,816,435,289,624,000,972,996,188,115,877,055,619,
837,794,983,220,815,208,911,055,079,436,651,682,964,118,413,186,344,450,925,
554,266,338,714,143,929,791,546,665,855,027,767,863,697,886,946,901,868,705,
400,061,464,474,716,294,268,027,226,638,595,746,940,479,007,392,282,986,127,
292,896,771,313,512,172,532,882,986,643,053,018,780,103,934,428,501,715,000,
141,471,230,676,974,999,458,055,453,138,625,249,944,810,028,161,595,932,991,
667,948,070,540,614,687,294,760,384,787,679,909,662,431,631,652,731,066,427,
060,746,260,366,759,084,574,709,482,499,655,557,228,233,256,855,880,948,341,
836,452,039,573,630,459,275,715,009,612,912,715,877,386,496,190,318,383,803,
719,455,593,548,426,022,111,032,558,744,524,076,419,708,908,561,033,799,801,
284,743,264,694,580,921,109,051,063,398,091,753,224,551,667,223,965,915,583,
619,360,107,574,754,924,343,400,962,065,904,747,611,005,901,896,556,956,882,
133,667,577,413,995,731,618,231,102,469,935,726,207,980,220,631,589,808,029,
076,537,103,933,371,620,851,249,447,393,491,967,425,289,739,177,134,472,679,
285,209,867,505,840,859,345,521,441,609,186,020,702,438,906,598,087,226,867,
983,609,499,969,407,078,782,022,829,514,395,233,113,163,505,523,030,641,160,
549,392,826,515,005,630,046,988,326,193,259,118,962,002,774,931,652,181,033,
747,482,943,969,966,029,318,756,016,642,379,725,441,888,891,098,501,943,260,
975,514,845,832,810,144,868,582,471,319,466,045,359,041,087,069,752,436,118,
317,571,605,284,742,204,987,335,114,843,857,404,446,707,237,324,000,853,745,
889,092,931,223,598,202,369,682,157,708,037,466,506,527,171,951,458,254,191,
503,123,547,442,767,633,755,728,225,791,150,408,667,759,507,102,380,711,749,
101,172,892,002,978,660,463,096,086,507,314,424,076,508,667,793,341,305,837,
527,025,366,200,733,841,393,035,108,302,575,844,812,048,826,838,656,242,632,
132,593,552,690,145,978,601,716,879,461,549,050,336,931,958,784,634,345,887,
290,653,756,183,889,436,287,588,518,619,427,394,502,476,378,307,966,185,378,
779,911,227,916,293,313,832,944,500,532,197,207,689,951,221,575,890,399,144,
879,146,374,261,817,128,418,397,567,763,452,077,078,298,176,870,865,128,615,
196,296,077,608,298,137,977,350,605,556,362,084,026,182,712,812,246,286,436,
415,036,702,195,558,417,777,270,065,833,963,140,086,881,280,139,001,343,545,
898,163,868,527,252,497,999,971,117,830,255,574,612,849,735,782,211,890,675,
184,753,398,852,933,259,989,743,904,479,433,193,970,209,243,136,686,841,189,
877,162,421,010,948,882,780,446,145,436,816,642,658,630,621,033,856,926,928,
997,755,142,821,971,192,684,905,644,391,580,242,077,215,797,075,387,933,053,
449,277,160,748,683,925,072,847,349,084,907,786,197,565,699,767,380,464,874,
115,521,263,407,069,047,247,598,738,672,320,893,060,856,354,262,965,111,504,
997,325,778,240,088,269,277,868,265,552,354,444,736,995,595,198,169,540,783,
618,158,476,344,188,461,091,126,668,921,598,490,362,344,393,061,345,459,575,
569,095,222,219,048,489,006,845,414,907,342,736,482,860,527,342,338,978,596,
215,880,392,915,913,407,603,547,376,220,527,738,998,103,428,719,243,927,870,
318,255,154,565,434,233,874,319,744,429,782,485,867,823,424,199,819,652,583,
888,976,707,966,341,083,190,477,670,110,343,586,961,731,261,010,909,582,207,
320,089,721,758,448,632,546,485,928,606,867,514,923,256,947,677,279,361,205,
996,638,544,460,770,612,584,514,603,933,866,967,025,459,378,132,011,398,159,
896,744,699,937,178,296,604,629,585,073,790,077,712,218,879,892,677,822,844,
760,709,326,224,000,099,516,755,949,552,546,495,100,583,210,466,937,487,134,
340,219,911,836,050,585,316,309,143,027,851,181,383,204,595,715,822,423,560,
518,844,350,822,615,419,664,502,612,414,986,738,990,437,377,056,123,390,924,
369,604,277,280,425,490,891,191,009,385,402,827,454,911,672,675,653,940,409,
270,164,620,245,794,407,286,622,752,653,089,740,728,841,587,751,854,210,873,
233,578,269,840,241,842,863,375,859,910,586,218,734,169,524,003,636,285,866,
831,022,804,869,641,080,010,199,095,435,345,913,848,862,543,537,437,144,392,
196,893,999,247,579,293,941,999,774,393,391,078,899,112,899,686,393,795,573,
370,898,662,112,870,345,971,374,825,645,710,069,470,234,602,165,951,822,679,
764,042,643,119,567,049,044,091,191,314,340,615,204,947,928,841,872,867,027,
625,511,898,383,007,367,722,435,691,779,089,363,452,033,963,030,890,895,699,
424,640,327,304,131,599,590,100,481,148,995,557,238,680,297,330,901,572,343,
375,427,732,876,799,964,829,915,281,619,367,315,698,280,307,498,927,173,481,
750,357,657,711,209,739,572,655,381,590,124,180,620,226,626,089,507,019,770,
624,173,902,794,717,814,064,529,550,317,581,432,617,314,593,847,109,456,261,
451,694,716,384,027,387,976,271,249,267,934,233,846,386,429,815,184,256,385,
084,897,036,008,566,715,947,190,480,439,679,128,490,302,427,907,957,636,343,
650,696,207,265,365,832,282,343,720,910,173,843,700,770,756,339,167,031,353,
486,846,213,892,307,020,699,971,068,428,510,071,135,560,253,493,244,790,967,
417,324,904,300,620,591,016,009,038,774,379,173,752,192,378,415,345,927,499,
640,300,598,455,793,756,732,148,030,359,586,063,351,643,987,572,273,239,588,
880,173,441,199,206,735,528,330,434,139,742,489,082,581,716,160,650,418,270,
137,709,031,927,923,991,021,939,732,759,133,996,688,208,354,913,982,137,654,
583,174,062,127,201,140,128,588,906,843,682,403,252,532,775,976,727,530,499,
646,548,044,913,470,900,541,072,047,019,285,563,679,626,273,005,336,634,687,
033,203,745,395,720,344,656,918,247,406,640,374,677,197,631,518,907,931,185,
673,747,714,859,862,093,409,599,358,148,093,010,622,619,843,044,792,307,382,
227,198,145,487,261,119,183,959,220,994,746,006,868,710,199,923,482,400,392,
719,231,406,452,374,981,046,078,892,099,745,197,795,017,483,403,292,514,343,
237,436,849,100,057,209,292,116,178,312,011,818,276,803,411,048,760,665,305,
797,107,296,193,777,373,461,117,284,879,769,831,328,551,129,496,736,118,145,
056,255,155,978,823,489,418,157,700,709,416,631,248,827,838,871,560,866,759,
913,887,943,668,616,831,691,042,582,894,654,101,843,177,277,687,158,359,865,
213,904,093,738,916,462,018,979,324,330,638,683,863,418,465,372,264,805,449,
248,359,314,674,294,448,501,211,400,325,611,930,383,511,900,323,959,672,475,
758,673,079,092,461,830,435,456,197,217,046,673,999,788,119,487,178,493,330,
840,206,235,092,008,597,156,804,302,870,439,314,259,742,644,970,094,669,297,
852,998,483,785,765,524,760,907,870,180,064,509,588,827,719,187,697,669,854,
147,097,730,620,351,477,485,961,493,113,170,896,074,668,359,439,352,633,283,
681,376,847,724,227,528,293,334,989,759,587,591,619,554,718,638,418,032,217,
353,218,972,729,024,517,290,547,653,265,577,132,152,171,884,265,165,952,379,
634,173,734,389,795,580,885,100,107,836,314,993,926,014,074,786,982,543,098,
898,430,844,852,303,470,646,154,546,126,573,427,595,943,571,754,309,172,149,
156,526,187,175,084,953,282,956,461,006,705,626,430,773,422,553,423,163,809,
223,093,130,559,553,062,304,590,892,044,400,435,886,666,297,792,076,403,870,
550,658,846,661,862,243,985,693,261,835,848,224,615,757,110,131,499,702,056,
561,159,743,312,928,097,058,192,782,011,037,285,455,608,883,278,323,618,058,
333,646,691,278,999,868,393,707,873,669,647,155,770,181,198,412,094,895,834,
612,583,813,618,772,658,868,050,554,038,515,701,874,434,140,487,100,406,862,
152,658,671,217,072,026,536,189,337,910,282,618,014,692,931,692,038,384,702,
376,767,047,247,013,533,759,624,788,719,246,035,294,088,551,061,869,431,457,
037,923,302,450,930,208,924,791,761,101,480,865,408,440,638,779,727,902,115,
544,496,655,724,882,831,986,571,924,518,176,912,623,403,072,295,665,335,561,
427,358,453,804,636,015,980,826,207,110,792,168,509,784,548,432,571,437,429,
607,287,338,464,766,687,337,684,276,024,286,703,678,901,841,757,029,924,833,
799,455,666,592,245,504,147,700,291,213,315,331,896,351,463,333,198,976,538,
123,493,619,558,537,461,066,779,401,306,422,456,770,877,715,670,355,685,961,
440,927,782,294,536,270,086,203,085,908,137,912,784,767,326,086,938,550,580,
390,247,573,597,536,307,754,184,300,980,961,166,041,249,609,656,748,052,236,
831,982,118,040,350,089,112,796,120,743,334,760,111,115,668,449,652,000,159,
984,455,133,563,251,283,000,358,220,820,554,447,988,767,678,409,739,210,255,
831,618,343,211,377,489,021,115,674,330,951,256,174,929,447,478,984,336,349,
633,009,122,009,198,551,329,734,245,789,342,598,030,124,089,477,624,527,193,
684,942,481,896,974,422,894,454,663,641,198,755,825,699,810,980,781,223,160,
298,732,465,782,286,402,286,862,277,733,910,971,127,219,807,579,808,285,615,
626,778,378,494,810,393,380,616,169,563,306,733,513,322,120,811,368,932,738,
218,582,871,994,910,391,567,481,504,226,163,617,697,538,544,607,186,988,330,
464,795,641,423,937,889,996,535,218,343,436,351,028,794,683,011,001,355,671,
262,551,755,368,925,903,520,625,092,579,131,101,998,892,666,050,385,703,242,
036,556,115,361,976,156,961,557,595,048,607,973,464,549,521,400,688,398,786,
184,056,711,229,648,306,788,972,227,834,775,053,517,611,603,184,440,470,005,
195,280,405,694,253,751,333,227,948,592,844,786,473,696,536,354,519,782,016,
734,339,378,042,448,462,879,330,047,884,434,776,442,740,011,128,690,235,404,
150,929,745,629,313,447,760,256,209,172,688,330,621,974,756,397,012,722,279,
589,713,906,712,361,324,939,221,466,260,532,509,411,602,683,057,123,081,779,
335,390,893,674,873,092,826,601,176,405,457,924,451,589,409,168,642,045,085,
783,002,161,767,354,598,144,531,960,023,714,457,235,622,995,114,843,769,632,
437,171,361,760,726,033,770,635,269,790,144,879,420,487,937,770,139,430,275,
351,819,342,538,504,385,355,307,234,549,001,506,594,225,449,814,002,490,491,
244,381,130,942,592,330,043,732,586,465,556,034,072,789,241,613,834,446,424,
429,499,374,119,057,086,400,074,549,437,454,676,405,628,568,390,171,158,630,
889,665,554,885,439,972,390,524,521,004,976,093,409,016,117,062,624,926,640,
832,430,390,114,667,198,047,526,812,571,178,462,151,728,290,155,699,544,053,
517,573,206,483,007,121,705,476,223,979,628,861,459,563,750,693,242,432,443,
073,942,451,951,000,795,555,844,607,078,617,672,473,335,892,490,957,412,130,
909,679,784,063,910,136,705,301,298,776,992,980,515,205,975,400,810,867,796,
109,409,726,545,645,417,781,843,236,484,463,992,573,740,211,754,230,482,292,
491,167,909,338,164,436,887,226,135,405,706,859,303,589,358,727,738,870,185,
160,924,653,624,335,713,482,155,032,618,505,234,754,973,187,566,215,598,014,
023,150,380,335,709,112,448,782,112,036,673,213,696,576,013,661,401,152,270,
289,004,151,381,009,048,609,555,444,173,905,908,009,354,282,179,480,562,927,
944,858,818,457,982,213,821,465,236,256,490,270,463,613,423,885,913,292,513,
181,660,056,211,441,354,483,529,597,371,847,469,431,602,267,531,675,369,523,
031,393,451,191,351,269,219,682,239,419,522,739,822,842,265,868,750,865,675,
562,552,377,081,539,645,767,599,095,301,320,337,465,878,338,379,396,104,841,
224,714,367,983,175,182,158,780,430,732,230,123,879,336,434,894,036,274,310,
445,649,204,690,660,887,945,795,893,664,554,434,152,944,784,740,037,820,878,
064,891,693,317,651,911,303,091,984,224,237,284,231,419,795,094,296,310,297,
254,821,022,877,162,621,096,339,097,678,204,854,765,330,486,023,543,464,486,
867,448,172,601,748,874,224,773,616,294,893,623,135,837,686,631,224,756,207,
757,828,675,951,957,783,548,128,396,253,635,810,833,941,533,802,046,164,990,
597,150,843,680,040,811,121,540,090,462,237,683,381,966,446,525,259,859,871,
971,456,518,942,763,468,806,067,712,770,076,293,979,992,772,752,690,598,260,
379,618,214,713,924,864,935,005,958,434,977,658,427,694,506,963,315,795,573,
389,947,956,787,904,946,362,013,890,632,953,633,796,212,939,297,422,780,771,
058,365,505,127,070,923,007,427,994,720,504,347,686,476,232,336,533,777,542,
429,466,337,390,989,404,935,133,341,017,495,622,518,904,367,273,295,891,537,
650,275,669,218,293,873,516,885,399,326,218,471,695,699,618,929,783,854,325,
397,671,688,435,833,944,168,449,324,640,667,872,084,920,646,430,733,838,439,
654,780,356,364,817,411,999,040,617,035,928,299,413,146,770,920,348,476,173,
669,623,715,059,798,435,053,959,326,760,665,462,944,736,710,651,065,436,372,
434,158,465,743,605,770,486,721,550,218,081,836,762,293,507,710,827,134,711,
559,724,890,197,744,700,484,421,744,950,769,206,556,359,469,279,602,546,574,
945,945,892,985,784,725,518,421,783,857,764,830,153,780,001,987,465,559,373,
598,068,171,631,592,058,273,616,071,952,420,390,837,373,579,983,969,895,534,
696,660,923,995,185,499,328,785,110,756,451,060,991,633,037,643,983,299,876,
414,675,268,129,344,294,115,368,891,839,526,714,729,989,271,169,595,354,617,
228,710,715,006,751,659,128,376,816,611,347,792,297,134,064,635,153,487,241,
609,149,239,687,543,938,325,045,986,887,323,730,955,992,247,996,214,707,771,
644,799,727,147,678,540,392,677,450,193,377,643,177,664,205,261,046,984,056,
388,666,222,729,627,878,085,949,321,110,256,606,131,737,472,295,732,484,956,
013,437,610,343,940,573,032,220,633,282,145,182,718,734,611,150,876,302,954,
732,963,758,278,017,182,184,892,315,582,826,090,368,959,199,590,896,858,056,
977,708,468,500,047,819,952,721,586,193,684,314,582,715,418,506,824,762,662,
756,190,743,112,789,173,773,353,415,104,550,016,504,747,047,423,982,800,361,
158,782,455,568,535,398,086,218,811,560,716,895,641,982,057,314,907,727,234,
245,069,887,157,898,091,155,922,644,594,946,669,020,163,063,693,810,780,180,
356,980,589,822,041,404,265,969,514,862,079,089,662,498,966,798,301,676,801,
620,443,201,565,228,722,783,771,981,899,866,792,895,036,191,451,940,418,189,
150,422,693,663,025,997,364,853,932,141,116,559,103,849,366,700,566,503,986,
475,660,937,716,115,117,423,291,517,268,064,957,668,334,379,908,112,305,092,
014,121,143,437,498,131,818,971,849,497,409,016,279,268,612,729,862,586,818,
559,526,280,678,812,677,692,582,455,840,929,832,440,847,325,705,212,618,259,
080,843,812,225,619,207,875,822,892,681,634,161,686,775,621,472,172,736,032,
450,213,310,511,505,235,647,915,156,994,674,835,311,501,560,804,040,603,172,
919,251,428,128,709,295,426,690,377,799,985,040,992,816,275,872,036,252,688,
156,449,797,715,591,898,605,225,391,605,796,406,303,609,877,656,815,500,643,
349,826,730,706,729,148,511,744,598,270,424,318,412,144,497,884,181,927,144,
290,416,052,679,679,095,232,866,076,694,052,053,954,121,281,391,129,007,840,
928,639,829,670,570,592,348,830,452,926,650,963,870,911,606,168,401,321,734,
760,181,311,820,652,491,338,965,999,899,831,978,143,917,530,463,311,317,480,
225,597,641,156,068,852,521,632,412,706,042,454,496,655,883,670,235,803,952,
694,577,983,095,026,152,469,714,008,850,872,126,251,847,547,236,845,321,429,
026,825,240,112,410,391,043,096,543,204,345,197,777,760,984,821,460,806,047,
694,277,453,785,256,310,508,048,876,685,651,124,234,709,802,912,084,119,967,
258,992,806,585,809,729,828,976,314,460,097,410,947,587,817,729,587,812,606,
274,485,863,331,405,334,601,610,392,598,879,688,502,993,450,953,624,891,055,
737,313,174,979,184,347,207,979,423,252,732,329,061,544,351,574,260,255,286,
759,406,083,841,851,332,253,795,447,945,897,344,307,895,303,493,663,759,820,
629,720,848,303,335,588,791,383,773,782,867,634,564,652,339,847,803,498,159,
546,061,087,712,460,257,027,888,911,839,223,449,413,341,093,346,487,603,465,
918,511,791,241,126,028,713,841,003,571,586,200,370,616,179,521,467,771,005,
483,284,632,228,571,666,308,727,646,814,541,553,669,058,229,389,838,537,177,
172,293,239,019,779,237,231,455,266,541,169,303,327,325,881,871,822,510,209,
533,641,376,241,148,710,351,308,705,541,196,241,517,176,026,159,309,179,654,
460,331,683,575,985,627,498,264,862,369,989,198,369,450,677,404,281,993,317,
293,594,339,127,206,220,066,104,751,384,375,045,802,860,565,762,818,762,199,
957,282,033,947,366,050,223,521,935,547,306,106,567,254,747,135,500,824,532,
210,492,665,951,153,921,350,358,695,702,600,235,519,245,600,296,596,010,574,
946,503,130,523,868,778,020,117,320,690,137,858,620,569,484,940,827,841,288,
812,657,226,563,621,188,201,391,272,152,644,436,385,041,888,743,365,922,472,
264,047,950,817,812,704,721,476,931,244,252,416,505,394,110,335,764,098,140,
032,903,387,150,168,171,145,356,967,277,218,418,013,492,645,720,464,356,789,
775,177,725,887,588,148,283,925,088,180,117,095,761,001,260,462,010,665,396,
111,285,940,213,059,875,511,919,973,900,735,350,855,886,587,269,798,377,888,
791,408,906,009,547,265,022,861,866,266,117,183,250,613,741,696,091,035,078,
055,242,067,383,651,474,430,351,008,363,222,529,980,558,334,379,994,965,488,
001,677,829,434,530,081,859,440,421,458,840,275,847,829,881,220,553,683,996,
456,727,666,431,768,597,638,946,407,943,783,379,040,166,915,569,804,103,876,
087,792,711,560,258,108,188,746,848,368,548,915,716,815,386,845,695,912,159,
306,900,991,669,206,796,174,144,512,795,770,311,391,383,979,172,476,724,682,
393,438,258,934,187,593,865,389,270,576,569,675,162,797,933,833,145,060,918,
075,186,514,313,882,876,148,158,863,763,404,068,147,685,156,302,052,213,128,
158,595,822,852,211,103,105,386,690,638,536,152,672,600,652,858,814,862,273,
883,199,457,515,008,546,246,449,276,405,927,536,928,242,092,354,270,166,595,
090,546,175,423,160,890,412,866,679,399,109,380,612,391,261,681,218,806,724,
063,242,997,628,387,491,966,342,087,919,744,700,866,284,056,942,592,649,269,
538,835,970,077,233,242,715,409,886,511,293,540,144,988,499,126,057,740,412,
909,155,147,750,200,042,281,662,977,715,615,539,344,268,351,196,798,909,767,
667,729,625,603,620,123,803,912,529,256,503,603,080,659,460,383,189,433,115,
227,287,362,204,743,513,953,433,133,053,791,579,683,899,072,848,865,844,276,
811,966,928,037,631,442,304,944,262,897,020,393,223,820,504,178,867,044,844,
731,060,109,342,379,516,905,071,077,282,131,080,493,988,134,626,251,343,805,
991,872,952,745,024,877,322,187,273,903,534,978,187,223,410,853,856,729,575,
002,998,130,448,031,602,026,334,995,799,033,075,225,071,781,389,486,226,913,
449,376,782,611,017,361,924,161,012,340,554,852,997,953,639,263,254,132,394,
231,464,276,249,571,939,486,944,263,096,181,770,697,211,354,911,598,112,670,
905,057,165,462,738,896,933,992,182,330,622,262,979,127,637,626,469,651,773,
901,653,796,856,574,092,300,181,608,423,622,042,613,710,256,285,239,048,803,
809,905,794,637,851,237,851,661,174,472,991,643,647,364,246,941,955,027,508,
463,565,795,521,248,511,311,590,931,664,679,628,121,355,602,111,499,640,481,
462,500,256,103,099,877,778,439,687,264,358,677,645,232,696,515,618,519,817,
328,119,669,781,889,866,532,618,839,182,298,953,807,164,589,481,582,444,578,
202,806,462,502,008,003,798,391,642,961,112,949,975,176,549,922,396,004,532,
083,974,004,614,678,876,799,556,284,901,184,419,796,135,050,007,057,796,723,
287,756,243,955,269,652,045,684,135,235,498,638,601,375,378,221,684,815,745,
993,538,453,553,660,540,082,659,649,736,251,559,048,541,205,983,196,658,420,
186,808,984,849,842,942,450,488,462,041,291,011,703,929,487,480,358,052,674,
928,382,896,228,444,027,749,208,923,189,459,007,606,149,897,040,156,780,488,
496,161,720,188,277,453,232,264,851,391,515,003,127,864,851,922,832,312,076,
202,270,629,371,575,917,933,112,362,321,994,692,465,594,706,982,889,115,955,
975,062,807,476,423,173,566,544,869,100,429,859,556,285,139,652,591,611,175,
099,075,059,134,759,874,303,488,330,959,696,946,495,175,877,376,298,160,559,
256,128,813,665,419,623,416,452,635,026,050,509,337,118,771,966,397,072,012,
615,831,923,962,235,795,763,420,458,341,995,242,484,510,713,397,036,233,298,
023,895,477,612,841,330,406,801,387,388,598,335,603,856,984,597,180,369,647,
829,133,338,232,670,709,140,671,616,224,946,980,202,295,341,111,058,771,945,
547,199,543,832,253,159,763,608,795,005,194,137,659,621,021,732,085,363,971,
675,296,666,880,450,223,082,181,234,075,650,089,820,341,400,340,617,406,622,
039,154,708,061,872,107,277,338,743,861,798,083,089,773,913,854,170,143,458,
741,947,119,324,987,877,112,674,629,627,077,402,632,369,734,765,066,490,719,
732,918,367,947,021,131,203,963,287,510,281,353,830,261,500,424,474,991,227,
784,548,332,548,640,745,124,201,018,286,932,652,693,835,451,661,122,970,951,
931,932,894,508,583,944,066,038,389,669,853,882,938,632,737,271,054,668,993,
194,623,624,111,333,730,274,605,569,247,924,778,736,807,519,607,134,330,757,
403,817,021,090,240,008,694,906,467,894,594,319,937,932,738,402,964,146,011,
957,262,720,060,860,155,242,735,962,777,194,027,669,683,854,269,410,877,651,
854,235,462,999,841,225,229,784,879,740,424,563,284,587,734,457,206,668,665,
673,492,501,020,491,595,786,666,322,690,271,275,731,524,069,286,395,476,833,
491,610,033,514,591,587,134,204,392,028,897,602,373,437,353,296,730,335,137,
765,315,365,305,542,820,438,874,514,891,590,961,467,232,521,130,949,827,260,
913,402,885,344,568,292,772,105,914,282,656,788,089,403,381,779,606,763,549,
936,714,176,219,359,763,454,080,779,649,284,305,054,154,402,531,686,555,671,
972,104,650,911,383,656,902,323,224,505,893,705,289,403,181,491,945,270,383,
454,715,890,320,549,084,201,460,851,313,191,706,267,504,854,443,675,689,614,
134,616,529,357,183,058,131,221,741,921,896,038,559,877,179,945,189,968,490,
501,603,562,860,932,164,770,797,588,854,935,382,229,013,134,930,063,284,619,
946,668,822,540,996,665,853,860,798,280,738,070,475,339,598,630,115,925,055,
421,455,004,857,086,303,532,662,005,246,134,670,667,612,908,965,631,012,570,
394,631,472,143,820,239,513,944,613,593,279,467,609,669,531,008,831,459,778,
691,331,316,187,514,396,094,408,966,704,290,516,912,795,089,408,412,249,264,
864,182,177,956,452,184,884,363,712,617,480,964,559,392,130,757,266,358,544,
887,422,698,603,563,029,001,312,589,831,082,911,859,258,692,975,788,548,919,
544,826,667,810,628,058,835,902,334,146,105,782,683,149,028,489,179,690,250,
597,997,831,702,470,390,525,869,624,726,905,684,878,759,173,120,209,650,749,
495,960,388,379,633,756,837,160,805,908,635,525,442,881,729,756,712,437,634,
675,614,854,618,605,172,063,296,080,435,392,675,440,395,685,300,423,858,762,
146,203,260,886,340,603,071,840,893,094,813,530,262,666,245,484,530,575,096,
519,544,718,686,361,990,204,538,759,592,364,389,372,144,549,433,085,818,551,
479,875,253,990,099,715,597,482,325,421,872,815,956,618,784,354,214,416,472,
811,025,958,840,031,249,401,136,893,420,587,178,368,370,613,879,284,415,041,
194,449,398,473,984,256,173,350,132,140,712,527,685,839,005,610,010,313,842,
897,848,160,485,260,023,539,365,250,388,260,814,504,348,539,474,866,344,813,
073,015,965,544,810,674,203,756,875,544,716,871,643,098,337,440,547,998,408,
524,122,531,335,628,171,877,948,914,682,524,056,117,187,334,452,470,252,897,
405,480,820,986,212,121,439,768,177,220,371,876,364,992,436,300,240,652,315,
272,241,328,745,757,841,297,724,955,146,449,910,767,445,181,034,930,741,380,
254,607,656,634,953,820,962,178,687,819,912,240,279,340,810,223,865,849,082,
343,039,743,565,846,201,878,513,846,638,455,935,623,840,708,264,226,649,616,
696,244,719,338,568,216,064,232,108,653,118,289,863,590,512,549,714,577,047,
215,649,839,334,123,099,641,496,581,203,957,514,589,901,802,702,801,153,718,
169,975,901,087,035,950,113,280,844,921,282,124,079,226,983,071,076,358,440,
037,503,955,636,365,556,010,979,705,337,488,940,952,063,222,662,725,526,804,
737,318,889,714,195,506,176,270,589,941,478,507,218,157,931,962,905,398,411,
813,973,989,471,952,689,630,441,263,399,621,389,678,212,608,376,405,089,522,
777,346,715,337,891,714,976,712,524,315,497,920,177,164,358,829,404,634,854,
591,648,753,628,119,817,910,329,320,620,575,814,708,375,143,830,437,353,415,
740,553,290,462,589,652,189,239,357,156,340,932,389,561,590,124,420,409,029,
240,896,906,755,686,251,844,776,501,683,198,638,066,647,277,865,131,622,036,
936,490,787,418,283,619,752,217,319,554,978,672,984,583,649,921,162,523,653,
035,557,434,850,476,997,008,059,039,973,025,853,844,054,295,156,434,877,962,
251,658,551,068,638,486,537,193,356,948,353,143,850,988,801,510,968,791,854,
921,931,610,279,876,621,028,872,663,249,290,948,208,701,709,165,485,962,927,
175,575,746,566,493,913,314,020,079,908,585,784,022,657,616,725,654,080,412,
975,797,175,409,547,020,608,816,739,636,336,967,214,411,066,048,756,685,420,
910,272,561,929,064,588,822,534,459,898,230,114,297,008,592,620,397,255,283,
879,734,266,266,805,753,722,160,269,265,508,178,521,676,996,050,952,825,613,
708,985,518,489,740,635,926,349,949,636,440,936,342,326,269,596,953,680,340,
803,474,293,291,543,810,235,642,868,975,351,390,087,741,680,489,872,075,776,
156,760,460,429,245,366,325,237,214,159,721,563,297,462,817,504,476,282,248,
164,631,343,150,757,784,507,526,177,515,493,512,983,669,259,837,770,496,478,
921,370,312,689,127,410,218,956,667,618,685,535,179,334,245,242,274,445,401,
495,500,499,654,417,766,506,508,169,525,285,209,763,941,481,007,445,644,851,
781,574,599,098,092,482,963,507,884,001,827,324,236,682,744,987,157,751,174,
070,438,780,895,777,470,481,435,991,897,143,481,649,733,103,257,955,174,272,
797,647,709,191,137,891,572,996,321,926,555,317,899,538,199,095,425,499,329,
317,033,822,370,866,655,879,094,626,812,129,915,871,709,896,669,413,475,498,
079,129,926,432,246,693,686,507,922,953,882,349,530,297,428,990,784,849,662,
587,995,778,769,407,416,239,030,696,952,671,174,494,777,067,408,332,886,077,
435,977,762,210,533,711,500,137,910,832,945,734,166,359,669,752,415,759,417,
950,593,848,322,704,944,410,962,277,938,469,913,627,559,873,071,479,109,654,
734,035,173,110,490,662,061,394,559,286,641,706,600,210,580,690,757,903,570,
648,142,898,336,145,206,013,085,113,517,382,202,917,928,004,780,246,959,154,
322,727,218,495,455,651,170,759,773,983,693,653,273,450,035,504,814,120,544,
448,448,934,389,165,600,623,933,307,427,661,375,184,713,169,225,741,109,975,
699,084,393,449,302,473,913,607,642,986,565,756,050,389,129,933,495,350,790,
139,712,965,505,286,637,754,918,031,513,384,965,581,091,119,921,173,007,966,
978,485,040,693,146,286,383,632,004,154,628,828,798,471,116,298,644,929,225,
206,138,168,119,601,927,151,756,429,329,556,363,272,354,595,942,134,020,978,
636,624,189,209,298,372,822,591,866,092,824,775,526,986,692,694,431,238,896,
818,720,591,915,063,866,791,605,122,312,611,109,076,634,922,588,330,033,023,
030,188,680,520,296,840,390,701,893,376,938,799,869,008,517,689,173,290,858,
069,994,566,021,560,680,866,047,666,219,095,240,891,673,442,159,660,578,961,
197,298,658,508,683,049,908,472,545,442,331,578,128,872,385,659,095,453,713,
971,383,396,230,496,574,116,109,732,822,549,012,641,388,982,543,890,186,535,
619,487,370,973,979,363,087,672,795,444,922,061,483,097,115,200,582,315,884,
200,530,895,920,452,269,874,814,447,151,444,462,778,018,599,602,816,763,403,
187,638,204,420,747,463,534,683,195,332,347,275,159,736,463,983,119,647,410,
297,911,003,314,888,568,614,341,074,145,090,934,702,628,101,977,918,938,832,
592,771,586,744,027,605,036,166,804,137,522,029,261,448,595,782,873,485,424,
583,090,647,718,262,436,212,716,440,305,955,446,225,808,947,886,913,334,124,
806,730,723,894,266,738,309,648,776,465,426,961,854,310,197,751,309,661,814,
700,158,085,196,917,051,669,406,033,779,218,529,149,293,979,349,771,933,025,
913,728,952,109,065,306,674,995,827,328,840,563,110,602,985,606,614,799,493,
278,132,241,696,783,120,778,444,893,952,392,877,555,590,718,769,184,317,446,
886,681,147,755,621,773,688,967,991,657,042,486,029,248,687,102,803,577,849,
075,287,498,483,279,128,278,108,765,644,379,272,173,344,983,499,125,789,703,
219,508,200,511,957,215,882,540,792,124,829,543,819,027,911,968,690,729,518,
767,331,772,407,899,705,373,008,400,968,523,877,736,560,675,608,409,269,003,
730,788,645,560,663,858,509,641,254,341,074,221,552,633,560,367,869,969,666,
315,345,090,214,617,232,371,808,944,597,543,093,464,843,913,268,271,069,031,
111,675,530,512,093,852,062,410,989,194,692,335,107,065,883,551,656,357,303,
500,792,518,667,726,972,292,907,234,130,479,706,901,677,032,750,376,322,553,
150,831,007,977,346,262,432,839,312,057,623,023,900,936,758,436,525,592,343,
071,572,098,439,409,484,058,520,954,078,516,371,851,578,499,887,706,948,372,
572,813,021,485,510,279,857,102,914,477,353,668,635,901,131,656,563,822,067,
508,861,032,195,027,426,672,994,262,782,053,229,713,550,305,023,545,320,785,
709,762,268,758,533,017,645,610,144,957,803,482,024,729,240,328,113,038,779,
990,734,246,199,600,680,714,863,554,330,320,901,089,650,801,124,203,786,971,
858,199,991,565,172,234,098,167,080,698,124,234,265,974,796,358,823,807,225,
855,804,101,672,724,988,970,135,950,595,050,757,336,502,370,416,213,829,608,
295,625,224,281,582,489,953,667,723,996,616,978,061,092,058,935,104,332,402,
025,595,415,113,813,200,820,324,314,788,760,249,721,141,880,035,549,762,541,
177,433,127,293,562,078,213,824,039,534,418,409,369,883,896,801,621,932,694,
448,849,475,939,507,046,135,761,601,647,637,360,277,064,422,602,134,709,560,
541,344,539,478,544,983,350,403,839,785,120,980,993,951,953,788,553,243,956,
243,384,091,239,800,997,734,456,830,712,409,179,144,711,420,956,998,962,910,
034,230,819,257,571,785,721,911,311,460,515,105,660,893,231,632,507,828,041,
476,666,281,286,997,371,182,813,562,866,538,568,215,742,377,445,912,685,807,
527,375,557,592,091,886,518,594,775,789,541,289,891,602,395,933,670,714,282,
332,741,517,896,453,420,370,373,232,802,766,928,700,342,359,342,149,290,091,
475,770,752,695,661,383,478,743,891,920,591,486,912,815,332,922,308,390,991,
965,107,461,905,537,082,995,502,850,084,972,881,547,143,980,204,564,889,102,
027,104,697,566,199,110,088,477,019,477,463,189,147,138,878,862,146,904,477,
771,061,735,943,232,088,290,017,307,671,402,675,045,489,742,652,548,932,421,
401,157,827,420,356,849,477,518,134,516,085,853,180,369,320,741,743,539,427,
285,108,895,801,752,656,442,880,256,327,961,777,270,631,845,765,329,840,621,
672,242,406,280,451,500,432,583,559,662,588,499,214,599,536,168,316,095,869,
500,203,266,095,606,469,860,731,561,170,056,661,933,430,798,615,075,131,221,
121,974,649,222,870,878,518,832,393,306,063,574,910,165,183,397,715,323,172,
847,987,513,222,561,987,882,738,779,290,393,138,880,722,627,679,657,544,665,
548,882,843,692,762,844,793,023,608,260,595,983,482,847,051,732,272,445,385,
621,537,061,844,980,511,849,731,015,327,439,500,314,866,432,466,319,162,839,
616,729,442,203,271,603,097,181,751,332,040,094,938,618,067,220,314,273,249,
701,708,213,465,884,935,377,495,334,228,517,221,603,316,777,638,674,175,179,
331,662,434,423,015,238,197,568,034,189,195,268,178,233,700,326,128,303,628,
451,429,511,219,829,499,705,911,511,356,907,732,839,106,441,459,524,115,557,
030,482,486,763,424,365,264,015,323,193,945,916,004,983,300,080,918,722,125,
938,772,333,529,580,777,299,487,788,900,539,967,650,993,779,657,714,013,688,
725,683,070,287,736,638,639,951,658,011,973,305,113,132,927,521,518,993,212,
828,930,168,094,293,090,513,790,282,826,898,514,960,299,849,789,518,826,740,
021,351,452,622,896,204,600,157,831,615,926,635,223,907,478,250,750,824,745,
951,415,737,961,801,010,105,702,063,844,969,194,328,982,716,463,139,616,328,
202,550,587,794,629,800,232,059,872,953,873,102,883,008,186,864,536,247,225,
436,631,209,998,417,622,476,021,538,569,497,450,343,715,123,657,709,426,918,
332,863,589,626,628,005,170,887,932,081,674,651,883,880,125,902,649,656,755,
200,419,914,716,088,069,744,240,464,177,688,536,311,882,916,239,289,459,741,
382,936,797,705,031,942,631,531,963,526,136,520,829,123,517,996,198,224,577,
545,790,442,808,152,022,276,161,094,453,138,416,235,674,751,531,626,891,742,
964,292,030,371,897,551,120,735,133,882,826,135,303,385,306,725,738,987,281,
128,786,553,468,947,382,811,739,471,365,521,648,499,334,808,946,363,579,403,
591,589,801,481,973,153,912,226,224,802,317,922,762,336,965,222,725,135,233,
288,358,084,797,639,583,252,009,034,975,947,333,681,962,817,494,123,499,575,
129,990,367,917,446,844,606,262,848,570,588,664,870,289,297,418,180,816,413,
481,299,689,911,727,975,022,602,660,369,617,597,021,573,260,105,016,545,403,
390,962,540,891,175,722,720,440,805,684,104,068,485,798,321,315,359,027,997,
630,467,991,152,932,648,579,711,893,815,246,362,886,745,748,405,875,603,478,
835,529,655,932,659,119,409,433,110,322,088,744,976,589,539,655,646,495,247,
419,521,008,901,887,182,837,734,684,043,262,825,052,873,957,267,287,245,256,
682,629,838,887,042,153,264,247,114,165,298,882,167,231,525,865,996,907,340,
048,150,476,042,734,378,014,534,257,591,754,192,753,861,541,934,122,061,812,
727,032,401,418,353,124,465,643,666,989,618,220,291,148,685,049,859,960,296,
513,773,202,287,682,183,090,992,258,948,953,342,673,676,608,159,945,941,282,
003,988,947,208,159,574,386,783,761,877,789,957,591,896,585,882,699,922,174,
272,929,012,179,940,318,027,224,382,756,427,723,810,762,124,238,343,111,357,
331,941,184,485,007,577,333,457,494,224,757,955,462,368,746,562,371,625,567,
649,330,369,775,452,585,898,591,231,453,639,793,781,248,832,649,147,776,623,
884,092,960,074,485,155,208,564,273,159,632,650,903,728,224,656,671,222,409,
452,914,778,946,703,807,026,907,979,562,757,030,630,027,244,997,328,916,651,
394,505,913,568,208,189,401,980,347,904,918,620,692,614,024,096,832,799,229,
573,470,909,768,771,599,006,088,982,277,730,832,836,122,409,158,675,388,395,
457,620,510,002,541,682,406,189,835,308,118,119,587,901,262,433,519,149,762,
791,635,530,067,876,285,341,148,667,666,075,887,197,553,287,241,162,862,586,
334,139,657,394,355,984,288,720,321,566,464,047,972,289,965,661,375,424,213,
205,572,061,023,866,615,700,436,227,271,935,407,285,256,338,608,178,234,464,
241,807,288,501,450,851,711,401,238,279,464,375,530,373,144,220,485,746,842,
308,990,224,781,102,148,126,472,493,720,612,578,273,301,237,899,219,659,828,
528,534,343,238,173,345,066,525,123,588,969,140,332,046,278,765,993,310,616,
438,013,080,813,730,253,265,687,811,076,748,051,839,029,874,370,283,148,421,
305,980,654,446,445,378,301,458,419,987,370,030,268,223,813,912,897,000,080,
167,662,770,749,309,755,565,137,044,150,392,227,902,797,510,746,893,118,060,
208,250,122,735,570,533,052,024,289,571,789,913,756,288,081,810,529,220,591,
689,902,338,506,743,943,137,519,390,727,867,741,631,921,659,917,455,442,785,
132,147,020,097,550,937,901,878,172,915,715,240,044,492,021,571,893,716,724,
479,409,112,422,663,899,195,484,876,656,775,612,695,926,674,969,781,160,713,
184,315,143,519,284,491,268,666,342,425,067,221,847,638,185,940,450,688,219,
744,308,601,228,535,445,225,980,827,540,794,748,273,369,742,255,388,087,302,
030,138,410,956,439,342,996,129,600,330,393,196,834,837,562,106,513,143,331,
711,128,829,773,739,817,703,185,730,468,765,189,322,737,948,952,664,782,470,
641,920,741,676,428,196,115,921,260,183,138,262,067,682,087,952,302,972,988,
692,631,477,091,778,074,229,293,080,789,876,740,604,856,757,739,898,208,241,
261,343,446,547,319,557,868,662,109,731,955,043,658,950,964,776,375,818,929,
429,688,144,266,436,490,384,434,344,689,488,518,283,765,677,818,534,816,838,
869,213,103,915,815,408,781,499,339,460,343,184,006,567,155,839,413,502,303,
981,740,826,761,960,942,500,731,606,277,768,739,900,452,180,757,027,830,362,
182,286,411,866,573,437,226,235,207,202,927,186,284,813,740,993,689,930,336,
211,983,094,027,793,836,051,274,436,726,932,141,452,880,169,614,201,657,873,
108,167,405,015,833,108,175,490,685,141,498,658,201,753,106,676,485,363,789,
335,920,266,027,594,932,908,447,702,944,526,102,464,090,377,941,116,715,154,
883,584,163,895,630,422,598,942,585,630,238,069,016,706,908,407,031,254,017,
839,484,137,146,036,955,332,153,588,598,170,831,136,622,133,183,724,894,147,
476,144,385,573,901,318,043,091,612,710,790,188,054,769,724,997,922,282,769,
790,155,073,670,954,310,665,464,320,202,155,288,666,448,661,972,362,151,122,
783,100,232,928,482,248,150,889,128,333,637,729,852,775,125,364,310,611,528,
240,727,559,975,553,618,365,660,079,434,916,450,434,120,054,316,639,599,468,
074,571,902,751,919,816,404,110,082,389,066,614,102,953,993,783,515,759,171,
879,094,028,269,266,366,531,840,825,988,075,013,760,024,290,076,307,467,822,
764,286,394,338,187,799,933,792,845,979,976,727,397,751,264,944,340,419,746,
016,571,318,556,838,803,441,533,289,607,662,320,705,550,625,574,816,067,757,
121,781,542,206,213,722,312,095,970,491,113,340,368,513,359,673,587,837,610,
783,354,266,336,999,515,992,552,056,316,387,231,879,559,372,930,472,757,868,
337,823,027,173,413,536,276,469,840,018,218,037,558,384,292,704,442,770,853,
380,923,709,047,363,398,284,567,733,401,906,206,261,227,529,954,082,853,029,
404,601,765,340,692,355,787,830,109,535,757,924,611,786,406,250,936,073,790,
133,329,426,712,021,815,352,781,440,077,547,496,629,560,631,445,354,145,743,
007,278,783,129,967,228,505,785,533,243,064,491,402,252,818,661,309,897,908,
720,333,166,709,776,584,439,040,469,192,860,694,376,201,088,529,075,902,608,
636,809,083,202,458,211,874,773,157,507,317,380,218,717,917,553,210,147,383,
139,914,645,721,391,086,853,210,562,242,186,397,947,169,229,005,509,713,699,
917,683,473,044,980,960,006,881,648,584,849,152,072,586,990,366,262,242,454,
023,985,034,556,269,941,117,383,899,402,432,567,993,557,904,374,620,325,389,
158,857,136,492,803,147,923,534,264,238,712,510,133,244,306,985,220,421,391,
699,513,759,188,165,658,272,594,708,534,309,626,841,033,042,489,107,501,055,
571,634,561,788,287,579,304,368,800,625,235,190,093,627,258,944,246,567,225,
576,636,323,010,860,175,723,625,236,012,436,526,958,169,673,593,821,426,011,
291,420,669,316,556,040,007,191,718,512,928,484,852,119,036,319,511,289,420,
021,872,480,931,339,341,933,661,617,016,815,437,444,568,724,710,316,327,308,
341,543,690,021,899,917,055,353,775,141,805,089,110,120,053,709,625,164,798,
521,032,859,928,156,604,204,903,729,773,749,245,956,511,249,088,845,364,274,
854,795,704,228,815,402,153,264,319,081,897,147,486,705,927,106,102,780,481,
931,584,557,773,712,772,195,247,510,993,139,447,077,444,458,882,210,509,012,
909,826,644,249,699,500,422,978,477,477,827,884,782,955,740,481,356,563,007,
231,952,756,180,452,668,521,275,484,588,426,450,822,015,585,918,090,386,866,
623,417,336,862,115,448,218,459,670,151,437,754,445,278,481,401,949,233,230,
257,420,908,489,002,746,630,265,816,543,965,423,172,512,418,948,016,781,286,
728,221,762,889,623,801,031,478,616,619,958,151,721,241,176,599,237,286,982,
826,737,723,181,976,869,449,067,662,127,315,007,359,683,997,556,050,455,149,
933,025,538,646,009,965,435,288,044,972,851,798,113,162,300,431,556,349,894,
824,141,360,832,315,427,602,067,001,511,688,018,540,977,566,579,015,332,548,
291,275,443,723,200,550,870,187,636,920,762,001,243,394,574,380,799,218,594,
081,867,351,217,236,644,446,001,716,995,897,719,582,879,837,805,577,295,790,
015,299,941,518,575,787,260,295,316,684,266,867,017,986,957,682,092,360,320,
812,683,797,558,732,775,859,779,687,948,930,730,556,223,900,042,296,817,397,
141,583,566,780,155,771,614,994,548,801,818,974,611,733,454,793,134,235,464,
237,497,372,953,809,436,043,883,603,468,934,025,122,213,570,890,217,427,109,
834,855,113,867,549,502,721,280,080,073,312,559,581,189,071,994,463,902,810,
940,593,000,641,645,204,393,347,324,987,367,395,515,087,522,575,963,357,154,
580,023,612,007,999,988,234,800,804,993,557,045,437,788,916,170,530,018,265,
326,104,345,025,688,127,231,867,870,557,930,688,320,258,258,979,948,771,491,
375,398,929,664,919,183,954,785,538,603,630,732,908,235,386,683,896,362,558,
345,189,465,794,084,593,399,312,399,592,017,505,712,158,584,223,047,741,259,
825,465,624,713,934,716,691,235,515,805,804,887,157,459,561,784,719,587,070,
116,988,652,094,711,668,813,290,429,934,742,010,500,630,206,414,006,060,777,
985,375,498,356,763,010,756,411,400,811,065,395,611,160,286,194,484,821,613,
023,193,082,086,367,435,275,522,938,867,963,250,234,663,258,049,506,020,372,
945,246,505,646,836,049,065,061,323,120,772,298,709,914,406,191,768,103,819,
745,465,837,523,518,906,857,155,965,535,260,482,704,719,225,947,450,579,414,
014,545,429,087,762,501,243,851,419,054,043,729,664,560,384,292,986,987,179,
309,495,370,156,496,959,026,606,584,990,632,353,065,126,716,647,485,467,381,
798,757,442,362,129,832,970,313,217,777,741,291,569,785,035,160,707,156,765,
665,143,840,506,516,891,880,475,147,543,653,403,472,474,530,176,934,747,680,
987,958,100,291,796,878,657,612,562,095,368,372,261,399,625,786,810,146,376,
207,028,088,876,865,691,975,838,621,316,372,480,901,292,340,397,916,242,935,
228,560,371,508,280,786,873,201,468,856,937,405,208,889,337,177,428,224,548,
659,613,456,337,565,397,363,222,625,429,681,316,510,555,188,541,222,347,906,
910,355,107,197,191,681,034,154,792,075,679,858,473,644,587,660,033,120,069,
460,704,473,704,962,635,878,251,477,689,813,412,963,237,515,752,438,390,217,
869,059,863,911,999,381,555,537,497,684,129,966,412,281,830,929,398,215,592,
296,364,312,720,847,516,741,318,141,394,051,667,033,746,047,934,998,427,525,
496,806,409,952,309,969,874,905,593,227,741,784,499,209,967,978,940,435,016,
969,165,316,152,351,417,421,272,792,984,099,168,969,905,963,490,354,790,533,
773,177,148,833,169,143,997,202,505,955,410,387,689,363,239,906,070,822,962,
804,198,397,631,246,312,403,942,441,494,700,063,527,248,998,884,141,205,784,
566,558,330,109,922,048,683,513,410,128,894,897,794,534,579,191,248,437,472,
513,287,937,424,590,426,931,727,678,837,081,363,444,137,127,626,910,082,699,
523,675,714,807,620,206,273,745,452,995,016,555,608,359,936,368,386,450,746,
871,596,057,931,702,204,777,215,915,831,981,093,632,645,124,955,968,405,674,
731,746,016,201,032,076,049,294,387,074,943,619,750,553,752,191,550,329,184,
544,286,577,068,405,104,527,723,042,836,360,179,739,103,978,231,295,712,301,
183,029,265,079,273,969,032,657,017,521,362,135,290,696,785,057,772,840,075,
424,526,361,758,153,544,742,095,183,548,484,882,326,368,032,716,035,100,284,
147,756,858,880,788,442,239,433,320,398,105,359,439,245,383,919,955,225,748,
571,502,205,449,131,824,750,568,359,203,365,546,574,763,533,955,193,113,799,
727,227,315,175,914,522,602,328,389,670,217,970,100,620,094,174,412,413,560,
467,094,561,325,885,744,137,874,506,894,668,358,328,719,896,778,288,731,299,
231,144,263,292,371,651,105,028,527,893,275,419,645,472,161,075,853,750,430,
007,036,154,210,605,331,422,524,864,029,327,289,317,165,682,796,272,491,661,
256,539,993,884,179,189,250,596,214,178,782,631,839,095,192,688,669,278,102,
687,943,789,198,292,758,243,631,531,072,345,037,598,549,150,590,078,027,426,
247,075,569,045,228,562,843,832,786,136,881,321,918,326,047,578,758,762,191,
243,742,274,936,556,510,937,155,067,880,057,490,045,507,282,559,020,681,976,
023,904,992,821,710,263,832,379,242,396,691,772,653,180,497,939,232,116,757,
366,936,828,129,218,239,287,088,292,942,513,653,954,783,016,676,318,516,941,
523,005,490,454,926,423,141,844,803,037,242,115,839,499,119,990,204,296,941,
819,158,602,802,367,389,047,420,432,172,900,738,829,128,846,654,472,342,625,
782,574,090,784,937,292,198,547,687,635,574,468,891,834,776,259,711,704,869,
832,993,996,382,806,826,692,119,297,630,406,198,555,038,149,765,162,811,347,
903,987,759,397,044,583,613,560,466,200,017,278,599,649,787,691,100,229,735,
697,812,827,726,326,494,330,368,274,071,512,566,294,533,378,606,949,855,097,
867,900,510,865,223,270,475,967,080,004,386,768,941,040,953,229,784,060,769,
938,159,006,474,028,137,218,933,155,953,251,037,433,347,735,846,216,161,330,
792,783,631,430,449,675,253,276,396,307,879,407,344,677,848,972,382,971,159,
901,372,847,774,581,852,039,482,802,519,137,989,719,750,339,156,674,352,906,
752,570,713,177,444,040,028,538,088,451,720,375,289,686,645,105,491,477,553,
587,278,955,285,277,891,971,594,693,542,406,602,196,374,563,564,349,756,727,
555,090,431,950,157,901,622,097,623,725,377,047,919,426,399,384,210,995,906,
522,368,936,140,962,617,979,067,558,386,897,989,201,755,943,333,191,772,155,
450,266,141,864,492,637,740,864,671,639,636,340,402,402,654,279,266,972,509,
619,509,504,040,594,794,916,619,566,587,472,361,350,676,231,519,817,143,757,
387,508,486,121,099,170,631,498,239,950,407,063,467,745,287,322,627,351,379,
633,195,411,044,710,428,731,478,999,448,316,547,963,801,548,719,581,815,337,
343,946,737,600,412,138,004,107,371,633,030,661,413,147,462,433,413,227,235,
429,449,868,586,655,762,829,808,956,219,489,173,120,969,559,474,878,035,671,
806,258,258,262,116,716,264,394,702,606,150,834,710,509,692,104,994,020,758,
867,407,969,832,680,135,883,594,592,450,247,902,183,301,946,503,934,718,712,
163,196,465,965,948,152,648,668,073,099,334,927,264,755,581,642,404,820,981,
038,394,690,323,189,412,272,998,774,410,402,679,267,881,162,352,515,647,799,
526,631,023,373,103,148,096,701,971,175,965,975,596,935,491,060,525,874,725,
440,644,558,545,376,500,516,949,236,317,722,669,215,720,649,002,118,027,121,
539,967,457,349,605,190,093,676,062,150,612,965,506,300,811,693,009,837,522,
518,127,388,861,202,237,794,281,544,161,925,054,310,588,980,939,595,907,659,
325,324,665,416,119,011,359,839,551,297,851,214,386,663,403,145,495,008,734,
667,325,817,444,720,613,507,519,944,142,815,926,434,628,269,198,611,286,680,
598,006,674,987,353,474,757,502,122,524,499,541,624,563,380,697,646,183,183,
026,086,676,986,434,061,187,712,987,409,273,349,915,138,343,268,443,279,962,
718,147,655,359,820,096,042,865,755,123,200,804,671,479,626,153,933,811,471,
541,163,891,364,423,836,497,007,202,795,532,320,698,805,206,037,766,815,686,
125,476,674,582,433,488,465,376,902,987,881,572,462,289,416,451,570,900,678,
289,477,100,467,923,355,311,860,005,282,760,826,178,049,922,553,686,059,210,
973,966,489,700,048,076,439,135,202,166,194,235,817,532,917,944,244,821,609,
562,177,501,931,785,213,719,445,141,973,255,279,024,604,598,517,486,110,799,
156,449,540,697,463,346,137,574,508,561,174,400,277,745,370,963,811,651,457,
951,685,564,702,906,248,056,627,824,910,630,252,881,849,799,209,546,541,244,
222,995,065,678,505,778,211,347,122,291,200,690,204,106,772,157,456,714,470,
598,557,355,763,744,844,313,501,189,601,364,870,252,847,008,810,344,621,378,
859,627,452,995,377,124,628,645,223,651,018,432,830,225,261,515,619,709,703,
553,935,829,162,472,095,117,370,502,840,015,551,960,956,320,583,751,618,077,
721,138,703,920,926,539,709,094,606,716,315,719,507,449,216,362,619,593,107,
378,897,285,288,563,348,030,006,415,876,428,016,748,202,683,444,481,148,756,
740,539,001,738,938,906,345,173,358,336,661,698,453,813,950,261,935,666,128,
509,951,360,036,445,490,087,239,433,626,446,866,572,687,149,413,634,211,945,
294,204,665,608,110,907,839,745,257,009,199,144,570,652,130,777,162,214,728,
099,937,510,988,788,891,662,792,531,672,168,396,991,222,918,888,094,447,198,
417,103,755,844,380,713,252,083,424,826,277,906,986,281,508,105,071,694,929,
050,404,185,470,364,462,287,753,192,979,932,076,828,262,098,701,417,389,910,
454,804,766,011,426,054,083,610,268,863,302,854,930,957,104,582,812,398,379,
296,144,909,750,971,574,958,152,855,019,609,848,318,818,661,876,675,703,839,
490,504,613,656,857,624,719,909,298,963,505,865,583,398,591,341,558,645,064,
463,248,908,496,815,301,168,663,287,237,725,551,580,658,807,439,961,884,890,
208,734,376,922,490,214,989,753,173,626,162,568,495,298,068,597,830,802,599,
251,006,312,672,528,044,728,629,177,307,789,732,781,383,937,674,587,330,083,
404,691,952,249,058,506,211,743,380,668,980,889,055,567,652,965,959,202,790,
091,252,519,396,086,588,900,694,742,051,206,772,272,685,826,310,431,886,618,
316,592,892,422,679,868,931,843,215,244,440,502,973,325,095,068,110,079,439,
326,803,260,984,489,052,527,373,231,139,121,873,363,591,581,291,690,241,593,
537,691,566,818,486,743,419,497,288,898,029,750,324,242,280,921,685,488,170,
991,944,496,787,320,646,733,196,193,753,222,077,691,263,360,393,407,002,747,
015,768,337,727,350,922,549,077,923,549,401,466,451,197,654,359,455,127,848,
532,869,185,061,137,979,899,738,302,178,966,436,745,739,010,236,805,527,824,
683,750,933,350,911,705,247,282,697,472,598,142,772,383,260,874,474,166,452,
223,124,909,820,923,598,251,978,699,913,233,415,429,850,347,094,151,554,218,
584,071,858,650,581,265,714,943,226,891,444,910,204,874,341,427,623,229,940,
628,828,993,125,216,580,551,213,979,691,584,339,715,617,277,335,388,666,005,
179,034,702,698,696,196,776,259,856,055,367,038,011,552,335,318,494,245,622,
403,072,404,406,207,924,478,585,397,640,604,252,609,441,254,724,688,174,248,
766,495,371,102,254,459,734,199,110,716,174,138,474,518,553,959,861,835,956,
423,159,085,004,847,919,156,587,504,354,094,360,225,017,567,473,994,369,330,
188,184,839,657,236,055,426,999,268,898,811,203,459,348,804,629,531,819,966,
838,260,815,485,555,513,559,239,666,143,809,324,327,665,813,401,264,535,275,
317,182,535,172,756,764,672,328,358,296,659,043,515,180,867,595,582,630,467,
614,192,254,207,215,150,299,415,968,423,714,988,398,838,678,027,459,748,366,
216,251,951,005,611,017,324,812,734,593,002,214,255,095,353,411,308,165,269,
244,158,443,828,116,743,281,257,073,679,752,790,629,096,224,413,588,101,569,
135,961,617,325,472,307,955,302,308,388,380,688,224,739,605,406,549,119,575,
385,027,267,017,146,682,087,137,229,295,558,991,491,843,250,686,302,661,949,
273,363,426,623,802,717,875,714,804,957,212,190,379,940,788,489,469,223,752,
416,873,331,029,808,588,275,599,475,842,437,705,276,635,019,478,926,590,954,
978,144,380,270,712,006,367,517,570,346,597,669,629,306,292,444,315,757,099,
144,200,046,807,398,205,672,782,820,254,437,665,152,192,963,471,183,611,623,
119,821,576,869,791,038,644,200,480,548,087,809,094,209,624,744,331,722,275,
337,181,978,796,610,175,799,596,339,258,609,625,804,942,618,395,246,895,136,
420,872,010,332,733,905,800,847,405,089,510,738,101,507,291,954,760,797,344,
759,027,233,788,379,141,746,325,042,997,336,421,356,065,627,073,280,859,653,
094,908,427,648,154,505,695,837,106,768,313,790,000,622,464,055,204,579,100,
927,997,964,382,498,946,986,521,368,659,338,384,622,673,283,225,698,106,293,
225,669,484,830,659,683,735,366,854,629,779,288,160,241,770,063,594,560,546,
565,771,187,131,931,140,091,472,232,736,121,113,984,544,010,627,719,558,149,
594,763,945,062,312,602,514,687,292,796,050,105,680,433,458,147,124,035,504,
976,430,324,436,500,134,612,104,067,470,102,758,948,576,682,083,185,116,955,
224,803,619,408,937,818,605,350,381,987,531,293,153,228,442,268,929,192,898,
125,270,625,227,117,292,079,575,751,464,536,790,268,549,425,081,463,741,499,
760,672,369,970,317,859,012,163,413,026,172,170,660,764,886,648,287,967,236,
320,258,958,375,105,285,654,940,905,001,854,546,171,713,245,899,310,544,072,
598,250,392,484,637,420,358,115,280,199,313,314,985,937,150,905,313,055,797,
091,916,778,804,178,087,062,305,822,275,261,530,528,604,939,610,080,861,157,
747,761,898,586,933,690,104,942,533,341,296,336,597,712,812,739,302,630,733,
477,992,700,244,466,712,212,062,723,306,771,810,710,054,631,880,850,799,204,
118,710,996,958,779,841,770,691,376,543,277,448,610,979,736,857,087,468,487,
827,192,929,444,998,404,467,085,797,854,448,584,256,204,101,688,845,850,843,
314,354,578,421,700,306,553,420,019,789,006,599,755,261,653,685,769,298,986,
409,035,958,260,496,518,166,783,962,460,929,337,342,819,751,330,695,724,225,
242,595,566,215,077,252,372,578,409,580,625,231,398,316,771,432,932,065,281,
619,842,632,560,429,736,126,515,880,226,190,634,082,996,659,598,640,802,869,
037,543,629,671,568,317,399,875,825,115,300,927,676,917,757,796,808,760,985,
370,100,616,171,048,863,536,141,972,631,856,630,179,999,181,828,896,258,129,
779,203,062,962,804,468,239,400,930,989,284,697,810,838,740,830,259,341,994,
213,871,614,360,166,028,384,755,339,126,019,888,249,506,245,742,087,038,307,
991,563,917,627,008,009,633,069,015,887,941,042,093,771,620,329,722,640,009,
637,379,271,347,889,595,986,369,788,266,813,027,720,820,110,041,612,314,668,
674,300,529,793,458,492,104,864,158,499,706,934,073,419,001,080,208,007,165,
483,555,531,146,830,134,510,028,271,441,946,862,391,755,635,229,087,593,516,
212,861,422,095,024,774,012,510,386,063,995,856,472,918,469,235,052,174,591,
197,608,961,151,275,653,629,707,371,649,917,299,628,097,511,859,769,366,152,
860,978,576,838,161,853,116,603,566,996,222,939,787,791,580,664,055,504,404,
974,802,661,689,310,595,180,805,272,241,654,755,236,063,092,238,945,383,970,
425,630,865,100,197,088,309,265,477,847,293,883,976,584,728,810,264,732,724,
436,935,260,000,130,093,774,736,035,546,996,841,386,807,662,629,887,304,596,
746,028,705,389,457,523,777,329,266,167,289,022,182,645,396,930,593,670,979,
937,811,040,277,654,441,821,512,433,997,502,607,362,783,010,879,912,191,907,
659,518,923,393,504,702,218,156,435,622,702,102,941,657,933,346,731,279,550,
215,443,745,603,380,558,373,835,408,481,746,477,209,457,505,869,524,308,501,
130,022,259,309,024,837,019,143,256,492,241,262,578,470,065,025,468,617,233,
796,474,227,699,677,072,419,888,597,468,530,311,888,877,890,154,761,529,127,
157,636,424,106,464,005,886,237,289,134,524,051,880,297,777,614,941,009,200,
785,227,983,763,730,084,456,353,923,774,082,789,225,154,944,574,431,504,008,
354,746,610,833,660,553,298,956,107,038,146,572,394,868,129,870,350,150,001,
782,397,380,270,646,103,333,765,338,769,446,533,716,508,875,399,144,959,006,
012,979,060,675,929,880,204,269,264,883,470,820,012,771,504,229,766,706,283,
526,941,202,596,698,135,007,722,591,533,651,295,374,382,578,943,206,498,530,
429,582,366,117,830,962,334,632,250,196,319,740,178,249,941,969,834,730,013,
071,045,825,639,294,673,511,258,664,173,480,500,334,268,023,232,057,623,137,
910,333,051,440,009,719,572,629,027,901,762,384,959,767,361,440,564,543,211,
506,091,510,408,012,934,098,641,799,372,100,146,092,585,063,998,016,483,830,
183,015,138,744,611,601,199,084,464,071,447,326,030,421,609,063,611,141,157,
238,457,047,682,385,554,206,302,615,732,065,099,629,709,742,758,223,033,741,
429,781,867,748,879,640,889,427,255,962,877,409,966,571,579,283,118,691,486,
082,989,433,792,632,626,432,443,210,098,240,193,727,172,093,433,185,045,083,
954,672,236,040,381,376,633,303,548,607,479,425,209,098,050,721,599,540,227,
608,086,766,056,645,383,912,296,426,407,768,438,875,961,715,366,457,674,027,
105,887,066,430,685,367,177,354,930,560,423,749,861,631,315,925,888,333,082,
504,920,159,556,814,142,231,749,972,627,055,922,641,948,648,253,080,376,434,
918,734,020,427,037,082,025,128,550,000,233,980,487,162,572,099,177,250,334,
917,419,575,192,554,003,296,686,808,611,658,611,583,732,830,916,798,864,559,
702,605,584,766,320,903,332,778,957,791,793,554,841,733,987,850,965,884,060,
058,595,335,995,213,574,887,544,205,285,303,690,253,587,125,576,471,832,996,
982,117,953,095,997,642,199,153,977,750,025,096,746,055,637,930,083,633,804,
745,879,062,000,887,390,756,737,639,398,670,500,644,752,744,709,917,820,049,
516,698,151,654,293,124,407,527,284,909,284,307,337,356,618,578,387,619,405,
213,950,289,264,729,120,487,599,824,215,041,941,166,003,969,199,438,380,523,
108,019,046,303,757,236,450,999,271,604,965,508,059,063,174,010,577,080,455,
370,583,732,221,212,876,702,295,069,153,067,811,013,057,423,608,222,626,594,
236,818,607,984,496,793,006,844,978,341,649,820,975,013,926,838,184,210,352,
167,264,116,719,330,097,196,844,374,608,204,332,231,035,904,638,343,299,473,
972,135,145,783,756,942,771,542,126,802,303,448,197,531,582,497,130,721,120,
181,328,926,159,685,198,494,061,557,992,096,323,017,827,269,502,462,364,885,
981,312,509,825,407,457,160,668,470,653,784,976,092,081,516,640,101,686,215,
560,510,412,813,931,554,590,218,159,634,370,983,218,706,967,084,055,749,760,
785,569,196,911,491,455,015,245,060,939,776,389,070,906,953,131,201,301,626,
818,105,338,875,359,106,070,379,561,203,938,922,061,417,008,958,648,116,683,
544,385,232,155,683,425,289,630,669,811,814,411,819,183,303,444,338,894,274,
096,042,237,460,713,294,096,877,370,834,578,722,861,573,282,624,486,847,129,
594,582,193,278,628,249,501,164,366,570,260,271,653,898,048,564,477,397,788,
237,416,593,251,126,896,556,636,144,867,893,621,992,927,289,743,804,032,691,
002,865,287,104,107,466,608,070,501,845,394,934,273,785,348,719,941,106,921,
050,062,522,044,880,797,143,501,353,558,833,299,930,874,283,771,421,268,267,
099,458,167,665,250,894,023,613,610,720,850,443,065,653,426,215,354,494,531,
310,143,350,690,497,570,750,633,886,079,971,530,004,407,723,138,240,264,148,
347,821,021,355,858,454,777,393,408,160,819,368,563,353,677,305,631,447,479,
992,650,008,088,401,388,619,355,174,133,446,364,086,021,161,016,257,165,419,
259,124,164,096,671,088,179,873,657,817,475,843,296,139,698,813,413,785,758,
070,019,221,752,289,930,485,553,106,508,889,816,695,060,927,409,748,060,249,
241,010,304,433,430,073,773,883,327,061,279,432,300,164,866,990,787,090,574,
096,126,786,795,851,008,699,619,080,519,552,421,824,800,508,156,268,141,353,
824,614,402,935,519,895,645,027,044,728,535,342,622,653,526,848,125,799,621,
407,311,095,191,004,795,847,334,958,297,729,808,359,509,308,512,603,897,617,
719,412,883,661,281,838,897,169,480,952,617,519,545,636,806,596,937,931,120,
939,975,295,827,426,293,797,731,290,689,692,767,192,926,811,785,895,788,535,
032,353,642,768,440,753,785,402,327,371,288,319,150,619,938,680,436,197,363,
483,953,724,972,745,273,395,274,766,431,313,257,153,215,273,943,303,733,473,
627,955,158,754,532,002,151,286,928,679,659,611,741,141,043,657,922,994,913,
051,058,744,481,257,603,715,299,245,207,751,339,889,507,300,496,642,800,532,
504,838,837,498,375,339,411,735,495,117,857,482,680,243,220,924,781,068,285,
984,467,020,484,758,875,974,890,358,335,369,798,474,922,928,315,439,009,166,
527,360,746,614,578,039,540,031,120,317,303,508,353,565,380,458,700,966,317,
198,716,443,487,464,327,460,569,799,949,797,964,840,104,048,451,019,969,664,
713,503,453,026,320,618,692,448,868,375,859,132,017,545,716,277,028,003,761,
237,462,407,250,313,282,813,131,501,582,620,338,799,595,033,318,236,217,023,
878,294,710,310,337,412,377,032,814,884,213,283,948,856,874,999,809,877,487,
523,350,376,400,617,016,778,013,227,452,356,583,616,194,771,294,822,642,130,
931,850,099,554,700,565,341,305,082,042,723,502,444,183,137,855,406,332,724,
402,017,317,219,821,357,956,408,654,420,562,826,576,549,204,650,071,963,731,
889,119,735,505,876,286,408,729,362,225,539,578,832,331,314,569,340,426,606,
354,396,438,697,715,938,209,781,736,660,097,326,704,657,870,969,714,614,272,
097,362,629,461,690,406,514,264,486,273,758,765,081,949,273,959,620,631,993,
387,064,031,813,299,600,608,319,276,545,010,042,754,682,799,860,374,549,427,
203,767,393,363,459,720,041,203,095,943,119,616,190,941,543,363,096,143,479,
860,131,636,163,486,047,177,982,905,789,680,078,251,579,807,202,946,901,714,
667,033,968,504,620,187,078,550,985,188,554,522,172,789,476,257,616,093,271,
350,779,751,951,528,859,697,385,819,222,572,828,261,529,148,940,593,166,836,
576,097,953,826,992,935,145,559,458,578,761,650,295,409,491,380,987,257,628,
462,105,837,615,083,540,440,309,111,835,982,240,192,065,373,714,202,917,020,
091,265,546,379,413,106,615,826,204,253,019,147,027,186,239,499,854,601,822,
329,550,285,650,141,715,965,391,901,489,456,416,389,552,498,583,350,713,581,
594,691,762,640,453,904,013,687,523,617,990,951,816,613,727,507,787,014,004,
928,108,409,884,083,785,980,006,153,727,199,696,624,555,139,965,729,125,387,
636,030,779,240,618,348,301,298,151,282,136,831,846,974,590,320,878,682,096,
697,653,163,384,126,374,165,707,795,584,214,754,028,861,274,887,149,589,139,
594,657,855,562,838,908,127,348,350,107,957,732,415,254,810,140,502,510,012,
520,818,562,958,846,852,574,960,822,020,726,806,155,898,697,431,197,876,520,
225,161,814,807,080,245,044,048,888,206,633,572,495,126,561,911,659,619,687,
970,291,250,003,765,220,143,277,299,891,587,207,068,748,940,636,923,331,020,
244,592,758,454,482,655,789,611,036,402,157,349,897,347,600,662,204,948,344,
486,047,388,295,627,763,926,108,142,220,802,278,665,392,821,823,781,070,885,
019,494,231,713,699,250,800,141,128,937,921,147,766,408,202,339,602,581,344,
549,761,467,765,180,630,678,117,025,604,901,891,175,261,848,972,342,770,595,
859,596,149,250,046,193,322,825,677,194,779,036,233,776,332,990,315,537,018,
102,429,235,966,305,356,983,930,910,672,628,027,536,385,515,856,225,601,570,
541,336,923,531,345,109,000,885,326,412,534,661,007,023,432,532,284,106,838,
922,932,203,163,261,481,406,249,696,937,772,683,876,593,072,832,636,895,072,
091,517,871,452,626,240,022,341,998,883,303,230,067,147,337,668,824,062,156,
675,494,202,951,733,741,683,182,223,134,579,643,618,529,982,791,732,251,530,
718,350,625,005,952,275,933,866,156,217,904,578,831,338,286,933,831,583,106,
156,338,586,722,542,324,039,381,959,237,442,170,645,350,046,314,448,402,982,
542,960,366,659,545,307,016,717,430,478,316,829,418,496,759,127,090,864,825,
281,722,113,503,859,320,047,548,825,457,886,191,221,128,466,804,097,851,126,
243,568,869,008,164,992,014,495,346,545,716,743,105,420,462,593,739,505,103,
319,333,217,665,182,926,117,537,218,536,743,771,219,896,450,748,768,706,221,
191,706,537,922,899,006,178,738,768,914,708,596,939,621,627,684,211,159,798,
832,701,224,887,880,277,561,180,417,079,504,886,233,108,835,705,825,140,760,
215,284,390,182,091,874,079,835,269,839,248,011,846,646,534,166,921,718,237,
584,244,234,592,993,213,505,557,007,262,470,918,113,911,663,617,843,288,988,
297,597,765,133,588,495,683,565,513,856,643,523,142,129,042,852,470,701,956,
119,848,788,478,614,149,396,398,390,363,618,267,606,371,534,987,781,013,820,
044,291,352,380,233,360,228,670,099,731,156,753,566,337,515,669,425,958,839,
828,226,438,667,244,033,289,511,904,060,502,392,186,348,484,421,255,122,785,
612,300,220,959,890,533,672,601,838,837,360,642,019,433,496,612,821,913,064,
341,403,011,891,353,350,191,012,149,432,148,707,771,281,684,757,985,361,367,
685,660,348,690,335,626,490,908,399,588,504,082,190,987,151,505,794,090,035,
634,551,491,110,858,156,854,075,089,778,138,394,389,268,353,309,716,711,051,
477,285,798,006,819,960,802,034,776,494,570,766,953,086,839,428,667,087,404,
168,050,142,638,630,698,142,264,509,939,130,817,262,170,125,901,046,912,081,
810,177,879,716,510,289,382,003,993,121,588,949,423,116,594,948,721,626,202,
870,938,688,204,007,443,341,264,589,034,484,501,824,598,596,205,316,682,937,
005,604,615,310,428,000,306,570,370,625,585,737,683,406,338,762,391,115,593,
574,816,990,507,644,812,725,745,190,986,486,916,029,902,714,919,679,112,183,
315,219,550,263,768,476,373,058,242,924,244,659,670,548,108,086,357,530,243,
502,648,832,870,144,557,536,620,682,634,232,926,522,353,833,169,127,121,514,
659,358,975,317,018,188,232,390,432,639,147,836,334,057,380,792,627,484,640,
320,737,181,290,332,980,074,179,746,932,564,994,135,235,018,050,186,852,828,
649,621,403,865,488,222,582,992,696,690,001,345,006,153,518,418,129,317,165,
687,235,086,266,399,681,216,291,496,390,874,858,423,017,325,286,023,747,458,
053,403,399,122,588,468,547,643,512,679,333,596,960,103,021,277,100,038,058,
337,728,221,224,568,467,311,728,860,524,779,488,600,195,840,007,101,234,078,
919,658,758,966,015,702,399,087,937,939,057,224,884,543,322,105,345,227,379,
731,350,450,066,237,477,773,512,778,415,822,698,774,759,955,380,764,097,443,
556,762,676,056,374,904,953,801,598,348,170,125,972,616,497,547,766,597,313,
917,698,809,433,922,794,533,816,597,385,058,309,591,847,064,448,865,491,915,
409,322,802,530,136,514,223,011,727,083,272,902,103,643,628,439,496,007,753,
199,696,394,236,975,997,035,942,603,568,333,887,518,337,151,464,297,485,869,
273,448,697,467,471,369,305,226,611,635,045,807,878,242,816,421,040,244,399,
938,629,309,540,990,346,469,451,403,705,338,715,286,821,961,280,705,464,280,
922,460,181,813,013,484,450,297,580,150,514,977,910,888,044,819,226,828,442,
130,255,840,416,697,280,615,446,273,045,661,726,044,968,951,857,102,420,063,
518,770,138,541,614,359,290,380,550,170,939,391,142,563,685,853,622,862,974,
375,880,500,346,625,728,897,885,410,024,225,183,591,825,656,491,469,166,047,
841,730,796,947,278,738,432,522,016,848,814,284,024,448,211,504,976,516,783,
501,710,489,115,518,685,019,384,548,004,566,473,484,117,235,975,982,101,490,
003,917,529,467,414,568,649,677,082,987,579,957,112,052,764,793,345,067,481,
836,055,884,119,790,594,388,337,330,523,514,021,193,816,394,803,741,824,437,
857,404,279,209,251,741,382,470,836,381,543,138,830,291,429,114,548,839,547,
472,818,767,226,641,208,849,474,965,604,156,028,461,077,506,998,941,881,095,
687,711,836,855,698,972,305,344,041,910,576,127,016,494,805,025,286,811,773,
541,729,795,289,286,892,615,027,692,718,005,767,590,820,855,372,448,843,301,
560,774,776,638,189,896,319,322,335,986,610,000,280,129,339,941,006,502,986,
071,069,963,776,727,621,322,579,727,556,641,931,907,318,373,484,144,175,863,
642,368,608,297,362,432,514,412,684,548,991,029,553,918,764,578,664,822,895,
348,193,425,951,205,229,017,243,076,374,971,867,746,252,103,148,581,436,178,
453,655,271,354,904,658,318,510,181,426,476,478,390,933,615,697,530,514,464,
213,550,878,714,769,179,508,593,528,409,078,081,771,486,958,324,022,185,477,
319,139,711,627,987,076,749,526,556,050,263,948,071,915,459,391,351,182,398,
916,203,875,412,887,031,187,916,042,668,055,544,012,854,931,875,290,978,597,
669,828,228,481,457,877,666,909,278,099,299,011,008,452,278,005,955,005,104,
866,200,996,975,377,954,256,967,311,928,638,731,981,853,615,809,522,861,920,
663,210,622,328,026,447,397,015,187,477,981,002,134,037,942,294,094,541,358,
721,359,535,037,904,951,374,455,781,064,123,834,435,317,140,644,608,634,033,
148,629,644,716,204,362,748,330,966,396,738,032,847,347,873,141,455,998,693,
037,158,815,289,405,151,638,473,254,382,818,212,443,512,578,627,146,929,424,
512,125,400,571,210,146,530,400,286,574,552,592,749,344,487,153,496,847,495,
044,688,919,019,358,701,613,851,503,918,917,109,377,747,670,318,478,532,205,
533,967,582,318,209,925,962,112,017,865,158,588,270,064,446,430,981,594,263,
065,963,417,795,820,516,219,153,659,898,012,936,842,221,164,762,087,178,412,
902,647,763,026,609,851,308,907,848,325,106,833,320,782,236,012,739,640,985,
711,951,095,645,470,242,834,090,313,565,638,556,813,128,999,285,761,202,347,
859,807,696,224,368,618,418,707,005,988,507,258,898,129,249,877,126,116,967,
778,529,071,106,272,265,373,746,847,636,102,127,480,296,255,268,984,688,426,
339,950,213,888,960,187,066,243,434,269,915,897,028,763,173,070,439,273,351,
552,343,102,199,243,969,678,832,748,939,398,050,602,526,253,453,675,483,888,
258,511,158,739,361,272,420,610,836,657,135,787,751,941,001,411,248,082,026,
020,812,325,990,306,437,373,348,987,411,812,536,832,912,464,031,645,852,665,
904,703,114,012,707,825,408,717,498,011,762,420,388,377,256,070,556,965,715,
922,711,476,378,723,097,896,153,851,278,045,539,056,020,438,529,463,009,445,
475,284,362,725,221,454,144,148,844,487,904,528,735,940,965,698,919,721,809,
384,747,426,787,328,603,256,508,591,916,436,466,819,563,304,420,550,991,848,
478,180,224,611,704,994,857,049,890,569,206,267,182,094,235,427,125,198,369,
583,401,857,280,784,487,160,675,077,584,477,121,787,211,217,919,154,112,946,
423,049,532,698,407,246,991,274,134,465,682,038,301,248,076,906,451,856,037,
399,338,040,693,668,476,555,140,527,404,294,878,120,156,943,665,555,976,162,
744,503,013,544,829,898,257,301,525,465,924,559,768,647,924,155,885,643,265,
361,224,588,382,087,550,698,635,175,061,008,241,212,151,589,066,999,176,238,
654,098,240,908,869,284,824,227,571,373,560,665,874,839,546,360,442,085,235,
943,185,831,841,245,422,128,534,269,850,415,850,628,052,016,047,776,137,660,
037,912,698,811,371,277,926,735,115,692,442,746,639,481,334,014,535,240,302,
224,057,154,310,326,173,354,254,279,775,156,897,223,370,492,893,028,583,268,
894,443,855,624,385,701,651,147,528,855,572,754,646,117,062,595,205,078,663,
506,197,402,627,244,483,182,340,057,292,606,610,292,815,076,356,973,122,266,
592,492,099,523,436,181,903,462,034,608,957,042,587,898,284,803,289,394,178,
093,697,623,539,986,484,822,076,071,629,773,313,288,354,432,507,339,113,046,
142,164,653,847,872,379,731,570,157,499,245,140,257,800,083,751,012,768,146,
813,308,941,960,977,182,172,327,094,154,260,222,283,863,101,839,472,944,560,
124,347,968,373,709,498,145,651,899,128,376,735,333,048,912,713,489,086,688,
682,430,601,703,549,743,208,953,875,017,360,043,853,957,791,422,790,078,389,
275,416,427,971,320,566,199,209,284,496,216,376,420,439,997,744,840,833,319,
227,644,103,975,061,903,657,372,051,331,977,262,144,967,835,740,238,122,813,
932,580,673,510,207,066,735,410,862,748,745,643,534,014,285,105,637,771,161,
877,006,943,749,715,922,743,662,693,312,621,250,897,736,655,577,002,628,026,
110,165,137,011,105,694,190,173,115,855,870,931,490,718,122,005,832,361,839,
970,709,946,112,146,914,733,069,078,718,675,997,267,229,713,226,256,978,525,
680,109,099,656,830,764,143,494,527,444,973,460,083,051,256,347,941,144,605,
365,274,806,802,762,798,688,660,270,398,990,638,499,902,405,179,307,000,538,
182,154,429,205,630,503,078,163,982,065,305,371,800,295,912,294,059,062,201,
782,205,026,878,562,972,969,795,114,249,926,279,623,159,281,252,803,119,415,
359,186,629,509,878,561,972,859,798,212,961,810,540,403,187,915,340,248,586,
796,561,491,351,870,687,892,048,932,071,754,772,772,435,120,726,319,692,003,
233,013,482,903,914,436,976,297,346,489,078,753,243,719,927,151,858,027,500,
874,265,131,527,142,027,987,546,976,940,628,618,479,660,432,621,913,267,661,
737,390,879,391,878,335,783,224,928,208,336,041,825,334,210,049,493,956,179,
934,502,104,455,021,702,056,016,315,562,292,351,141,364,111,950,220,570,673,
244,337,700,697,912,230,177,454,255,344,763,463,828,850,537,672,582,537,569,
892,488,767,493,837,221,608,591,324,334,682,559,374,976,281,981,113,514,569,
463,769,562,789,918,367,672,908,265,474,566,058,888,811,629,834,013,425,463,
544,176,162,167,102,519,574,872,963,983,249,911,007,535,886,593,590,914,250,
588,837,552,706,345,789,782,940,250,254,374,238,539,637,952,512,949,275,205,
505,958,759,926,199,244,339,801,169,552,032,210,255,165,053,510,000,614,816,
209,575,167,920,397,867,001,940,191,492,828,335,443,798,253,402,869,483,673,
291,469,666,460,157,840,720,288,185,238,449,251,090,551,527,774,006,747,609,
568,427,413,711,890,418,181,805,173,191,985,953,205,575,330,369,489,782,876,
067,320,601,142,690,651,264,636,791,387,928,377,376,192,608,798,686,771,114,
275,549,853,908,958,732,555,318,321,963,762,181,322,615,844,239,701,920,314,
277,319,181,060,609,874,145,238,536,746,912,630,126,798,417,880,566,109,911,
100,348,023,656,922,345,154,233,633,945,937,858,345,843,601,905,760,212,317,
548,587,989,100,922,554,542,723,130,914,752,932,378,643,781,782,130,333,461,
221,732,223,183,548,962,327,246,396,038,304,825,152,787,245,667,629,620,936,
547,859,617,901,640,372,164,212,648,903,429,434,602,758,035,154,517,913,516,
535,291,331,290,693,294,324,835,700,025,128,379,961,780,895,177,246,231,881,
845,846,509,019,977,833,599,877,269,996,870,339,152,553,642,411,348,411,132,
365,055,034,661,137,034,028,247,146,901,841,316,998,166,786,937,779,573,685,
228,781,197,007,482,433,219,583,411,389,093,228,756,853,182,114,571,860,217,
844,494,414,234,986,442,151,198,471,200,095,012,462,688,789,630,524,330,034,
110,894,569,448,277,841,068,432,157,368,634,379,719,485,566,688,354,555,444,
829,917,463,073,735,087,711,842,171,615,797,355,714,429,491,258,242,733,127,
544,745,075,081,292,528,591,398,033,866,753,685,949,735,420,486,984,255,993,
678,882,158,133,475,005,657,019,037,985,375,567,014,028,154,050,788,839,110,
582,542,625,555,945,667,236,448,127,551,859,541,146,073,648,862,194,343,328,
222,026,310,996,712,361,842,153,580,315,917,758,024,382,405,377,625,290,305,
504,791,265,603,737,372,942,265,203,824,309,943,439,412,054,450,540,577,451,
714,326,287,901,119,574,570,789,158,185,989,237,742,841,997,328,386,792,399,
698,732,810,779,517,478,677,851,225,454,516,270,752,792,562,749,805,458,541,
771,861,469,383,028,146,474,650,336,988,562,691,757,597,054,764,420,168,393,
239,428,786,688,483,745,671,448,442,005,485,450,638,349,739,672,242,682,596,
152,126,984,352,423,259,333,325,978,675,895,128,962,841,971,616,139,177,703,
809,010,930,905,151,248,433,019,162,154,320,028,055,919,467,643,723,693,133,
559,633,215,158,770,160,326,316,198,905,976,077,227,133,200,417,414,659,726,
779,323,738,169,135,910,900,300,442,240,775,196,829,921,573,618,450,126,341,
543,539,763,288,282,028,163,123,631,415,033,741,202,323,870,977,732,029,706,
007,203,202,930,723,068,367,075,931,248,279,718,318,447,091,800,376,480,469,
392,573,086,467,690,038,091,755,664,693,073,008,222,388,913,523,004,618,363,
304,699,300,996,707,334,189,931,413,859,730,795,572,799,774,664,012,468,444,
934,721,642,048,624,955,342,946,284,490,755,457,204,785,620,634,270,892,503,
605,180,731,109,543,671,467,064,259,288,924,120,813,218,067,506,244,150,209,
867,191,009,914,692,600,714,804,427,824,221,158,136,837,326,545,475,263,907,
591,479,719,758,895,628,697,222,362,382,624,352,783,898,376,419,269,145,926,
220,528,409,871,246,666,160,455,544,658,247,343,966,361,305,363,878,133,632,
577,840,506,599,962,392,850,142,612,605,172,471,346,898,896,620,772,788,204,
199,932,295,701,562,917,646,929,537,568,602,043,733,968,056,602,896,077,933,
543,050,998,654,711,416,844,993,986,188,624,207,493,585,698,749,123,444,294,
012,048,086,091,164,328,936,382,959,718,780,951,542,212,413,538,468,408,203,
012,026,679,942,984,177,175,914,378,157,592,426,250,266,852,630,085,787,602,
000,465,158,808,756,349,326,782,683,248,684,673,920,048,483,941,930,650,681,
363,647,371,872,462,872,970,661,220,814,506,133,697,422,218,590,177,655,908,
188,475,927,672,214,132,184,287,069,073,877,615,011,875,376,057,152,908,090,
719,524,677,829,952,344,453,372,320,537,117,936,674,736,025,792,415,515,293,
568,676,631,608,200,441,815,558,875,224,690,882,710,486,252,478,401,003,747,
780,790,884,859,619,087,082,428,501,279,173,200,147,910,768,881,201,126,491,
531,671,533,110,271,547,967,980,616,409,658,610,784,861,411,343,722,686,481,
055,105,029,784,954,489,306,418,276,186,001,890,400,409,956,355,442,459,794,
530,233,198,468,990,173,124,941,814,016,854,266,154,562,366,309,968,223,455,
016,522,869,993,918,242,512,764,969,578,875,681,993,795,249,417,749,676,276,
679,510,184,518,093,239,237,127,236,884,053,336,220,485,760,117,457,165,632,
494,982,521,396,867,604,585,874,738,539,444,391,984,720,087,132,811,297,808,
939,420,071,265,136,708,238,160,871,976,114,110,280,403,756,937,516,686,646,
281,579,443,678,739,152,272,533,528,275,763,169,788,602,887,505,883,969,830,
636,788,220,765,333,602,222,113,538,740,821,634,309,215,637,293,385,634,224,
956,811,770,079,382,462,031,488,353,278,149,627,158,972,758,612,799,678,616,
048,323,601,031,273,553,918,276,239,723,813,191,290,629,395,754,188,721,615,
909,465,627,343,168,090,015,190,401,116,949,988,272,383,022,899,977,593,659,
506,166,733,608,141,716,682,139,265,489,576,709,613,230,729,725,757,071,330,
357,185,012,422,315,625,112,027,101,045,893,670,923,333,241,445,028,531,210,
836,928,846,592,970,617,073,302,360,960,636,331,646,231,566,419,084,691,333,
391,100,463,968,910,251,729,721,452,301,899,260,858,978,429,589,418,824,271,
501,852,958,258,572,871,592,059,150,080,359,652,799,492,737,537,678,228,337,
340,485,826,025,315,508,440,803,891,254,534,790,541,700,010,829,537,565,608,
755,743,090,210,443,059,414,140,067,299,463,478,860,076,011,355,309,749,134,
280,269,284,550,913,685,871,698,059,072,470,588,393,610,152,508,222,018,759,
862,595,468,811,592,987,844,590,555,009,110,555,402,275,785,468,533,942,996,
841,100,985,754,471,492,604,110,130,401,720,057,245,205,236,874,048,287,224,
046,117,417,185,204,494,913,832,135,434,971,050,863,282,318,677,594,648,585,
494,254,075,804,043,886,919,223,852,852,676,291,195,255,785,036,074,386,742,
903,322,808,546,171,475,486,090,125,579,917,042,701,923,593,681,201,634,173,
822,063,731,888,434,364,193,485,393,055,524,436,617,592,643,679,672,897,873,
843,744,588,836,847,487,191,940,393,737,235,337,924,486,194,168,373,795,284,
292,048,170,365,578,273,444,124,154,747,020,756,730,116,793,356,429,187,023,
731,055,825,358,746,873,499,716,582,989,751,013,837,574,924,410,018,820,009,
246,821,065,073,504,151,148,955,133,727,008,226,156,850,665,703,048,830,495,
258,330,857,281,444,043,122,049,682,959,922,391,775,752,247,623,347,120,946,
432,549,806,571,589,604,191,303,894,320,731,347,239,995,417,763,738,664,995,
048,418,236,549,115,686,423,298,921,186,135,554,043,254,547,346,940,780,621,
283,465,431,699,942,355,306,313,215,329,518,985,239,404,115,387,093,586,007,
689,528,860,444,260,600,174,117,418,730,360,723,879,160,742,404,553,901,860,
005,487,931,095,593,265,003,487,126,339,001,511,730,100,226,342,638,325,226,
719,136,358,226,096,661,307,876,759,839,909,159,415,468,520,169,759,151,053,
436,897,673,275,009,518,409,403,068,317,479,305,229,857,204,198,954,494,338,
426,942,898,458,347,625,626,016,413,819,997,360,839,554,545,769,775,148,795,
215,849,067,094,331,987,830,575,066,187,559,560,428,573,609,787,797,932,109,
185,453,411,595,419,818,798,714,204,676,918,490,847,940,295,677,903,773,133,
414,400,883,163,183,427,152,782,203,591,417,331,721,974,808,288,204,052,756,
466,185,745,796,145,274,659,544,901,155,185,965,327,135,872,669,676,113,450,
213,800,724,713,486,286,200,927,606,948,682,429,512,622,968,741,114,771,558,
803,710,262,445,901,231,799,798,432,942,808,301,412,344,881,838,804,098,069,
320,606,309,792,500,969,094,560,562,600,154,994,505,270,312,483,720,747,329,
051,841,723,814,347,717,339,414,306,563,668,068,715,562,866,489,629,868,798,
340,832,356,486,357,618,176,039,752,256,141,777,051,293,402,307,814,466,010,
885,949,527,572,286,454,404,685,670,743,843,005,590,356,592,223,780,315,123,
561,073,294,969,330,596,642,951,016,102,884,814,706,456,841,566,047,996,873,
123,916,641,950,609,137,783,565,857,474,162,211,869,431,360,046,609,502,911,
162,322,368,812,050,585,894,147,732,336,630,475,563,732,544,322,032,844,676,
819,654,794,823,517,938,137,473,881,846,306,596,889,041,166,516,437,926,968,
930,785,801,028,770,060,820,200,036,093,830,713,292,133,376,795,352,212,989,
644,751,548,800,441,791,358,108,502,350,640,043,520,111,209,530,391,948,700,
658,041,456,549,994,999,561,767,185,585,521,102,934,232,466,055,463,141,810,
999,188,483,561,588,830,072,521,468,040,200,479,548,030,910,552,807,708,973,
684,792,429,322,993,455,458,885,328,924,525,962,496,775,322,733,316,108,667,
060,484,252,274,408,621,681,999,025,257,823,696,929,653,290,317,440,069,417,
759,246,345,774,887,927,786,773,285,630,586,598,295,411,539,156,875,085,235,
702,305,808,039,847,892,211,063,058,839,516,282,380,067,274,401,114,083,461,
829,243,338,000,794,580,675,168,218,561,245,812,594,162,702,556,852,738,718,
273,143,475,312,541,796,543,004,694,645,470,958,850,145,842,210,800,484,295,
213,523,025,697,618,016,885,758,530,402,408,323,425,726,419,776,762,295,581,
698,878,633,698,880,569,396,815,995,198,227,711,818,812,480,173,995,029,248,
744,562,612,435,221,925,585,532,241,651,648,893,645,777,240,672,923,466,527,
610,762,978,228,987,370,785,248,646,680,921,486,907,816,380,824,510,769,483,
577,076,877,061,034,669,832,042,120,870,425,939,618,815,606,833,414,774,540,
535,773,357,068,087,699,646,635,840,796,159,441,153,171,458,356,987,045,735,
626,201,803,420,810,627,582,822,556,597,753,440,557,271,706,176,512,770,208,
184,787,969,512,512,545,790,557,052,916,695,169,197,479,919,488,917,859,205,
996,503,907,172,223,680,524,878,084,419,052,503,770,809,381,279,765,502,297,
426,582,423,794,481,147,943,916,526,233,160,206,657,892,594,262,816,984,578,
711,319,326,860,202,598,110,102,387,929,554,783,332,741,013,961,084,258,577,
633,278,271,962,947,417,509,096,612,010,170,630,037,456,832,303,890,265,179,
251,393,997,653,233,085,849,479,309,783,305,834,369,610,573,994,488,745,814,
999,117,098,695,242,293,117,175,102,490,933,094,307,284,421,464,488,979,127,
818,722,603,302,483,979,119,603,782,194,175,450,544,866,746,484,149,588,521,
288,841,930,232,639,678,667,701,996,621,972,791,925,652,937,929,158,496,184,
133,473,082,435,688,611,566,290,736,303,168,129,097,345,155,350,474,720,576,
619,155,029,550,919,335,013,736,708,919,231,179,308,536,977,558,689,302,779,
008,407,253,342,849,226,384,105,010,802,760,268,982,962,506,868,987,106,980,
214,700,696,550,753,675,204,750,713,600,357,189,977,921,768,001,426,991,941,
001,657,607,920,789,566,339,844,600,779,554,884,697,242,750,834,433,065,230,
873,712,407,424,364,829,951,088,302,543,715,992,491,547,462,770,858,142,921,
876,610,771,928,520,039,610,200,450,143,928,512,626,915,486,044,458,464,727,
248,620,348,187,764,395,490,542,208,190,330,217,385,205,545,256,063,576,685,
720,665,134,842,601,089,009,097,523,599,897,347,331,811,502,802,767,396,192,
739,081,586,667,199,366,017,567,848,127,090,064,935,617,588,835,461,749,278,
704,392,060,239,080,675,423,768,283,353,825,456,460,774,414,242,688,133,096,
155,179,407,646,738,725,946,733,115,982,064,814,383,646,185,002,632,888,585,
400,503,186,915,248,233,198,511,970,844,901,583,598,879,780,563,477,753,591,
700,776,397,995,887,657,883,782,122,949,991,069,964,809,955,468,192,672,646,
842,324,336,129,476,932,858,452,119,255,337,472,462,529,226,940,349,047,469,
880,903,611,707,586,623,718,700,144,390,377,196,955,314,946,779,931,470,731,
699,936,512,516,280,581,348,659,643,808,264,973,461,494,278,597,008,301,914,
781,024,464,379,705,359,119,094,334,537,971,340,591,167,859,737,208,622,529,
919,785,025,528,809,965,436,716,318,313,124,002,407,611,172,623,014,625,082,
231,640,755,444,421,058,024,981,249,299,035,871,661,716,577,772,823,790,314,
232,991,773,471,921,190,460,987,757,035,053,478,959,601,554,404,580,894,916,
255,664,758,793,858,310,641,107,577,024,141,034,889,978,017,281,724,219,435,
299,669,391,992,182,232,896,939,848,784,601,511,272,363,683,698,001,801,310,
215,635,754,840,903,428,776,889,069,851,219,434,050,530,676,994,554,813,754,
429,461,011,180,680,226,056,312,214,190,658,856,759,993,124,538,564,036,236,
818,143,451,760,566,752,847,900,689,448,858,248,480,865,942,384,584,080,226,
891,733,598,668,477,659,628,760,945,446,896,475,422,379,590,667,891,404,661,
148,065,160,688,450,651,644,407,954,326,167,492,239,106,391,354,285,589,123,
054,781,843,833,689,204,182,695,053,286,141,033,787,822,532,762,681,826,467,
469,772,941,395,207,767,636,740,788,266,553,847,776,890,931,644,888,577,619,
606,181,775,363,180,088,681,115,969,284,007,085,910,790,251,464,024,879,194,
140,805,831,914,205,580,271,003,507,264,360,821,829,669,282,059,807,787,483,
376,522,578,889,068,744,807,279,439,511,543,074,939,369,027,831,195,475,450,
348,142,271,176,668,125,920,183,590,494,270,553,649,346,167,812,803,830,185,
782,346,366,924,676,927,786,795,106,972,913,934,031,691,052,965,808,552,216,
298,576,266,001,031,578,030,722,702,783,230,516,534,478,560,920,910,448,238,
255,079,536,829,122,248,256,170,311,190,122,810,616,098,465,513,957,400,281,
466,198,165,901,525,185,193,333,817,088,135,472,150,142,520,591,817,854,932,
541,512,467,971,583,490,578,124,414,078,067,165,212,316,896,235,933,689,174,
322,800,956,118,676,455,751,585,487,654,777,082,018,429,667,531,686,152,467,
535,485,051,806,904,582,514,614,559,542,079,416,856,167,911,790,897,646,347,
338,547,440,616,173,285,316,574,358,624,110,904,079,627,034,206,474,363,013,
168,424,970,651,595,812,533,439,605,587,114,164,354,274,349,852,385,152,794,
100,834,202,591,146,066,857,384,329,171,451,440,901,346,892,257,341,370,432,
059,383,617,544,763,818,924,759,077,693,655,555,187,214,389,566,543,809,533,
363,416,497,753,933,051,005,085,331,839,775,138,157,681,301,208,678,557,386,
263,363,077,101,101,595,167,797,169,825,889,376,572,229,167,301,104,568,688,
540,848,563,194,730,292,638,456,371,154,626,539,187,057,724,005,878,581,406,
972,331,190,161,895,328,717,293,723,741,513,380,163,822,925,192,087,909,229,
618,441,426,201,383,869,052,418,422,472,464,637,345,524,952,994,469,893,098,
705,663,162,005,539,306,727,675,218,048,007,654,437,951,216,472,411,901,172,
714,454,604,930,222,959,830,486,020,871,679,807,425,062,291,722,272,350,509,
214,716,519,510,178,090,128,539,686,336,714,671,841,777,167,192,260,053,383,
808,658,857,432,041,717,223,798,919,572,512,287,126,167,214,044,043,760,979,
510,427,824,581,385,845,757,987,162,432,069,278,298,124,287,496,886,969,584,
500,095,769,928,351,824,877,103,495,223,501,472,542,477,157,388,906,905,305,
018,987,567,740,972,254,672,458,252,670,929,308,051,887,569,612,076,762,847,
471,483,117,969,765,098,109,616,643,938,527,844,935,852,767,244,728,133,320,
681,540,600,520,825,796,578,251,878,578,805,178,910,927,668,689,346,207,176,
579,555,856,341,983,030,803,627,888,303,909,920,668,840,815,828,991,897,358,
826,031,122,750,362,047,673,312,573,451,507,154,381,746,251,223,911,162,441,
969,634,806,561,684,362,470,143,413,134,998,265,171,489,292,117,090,613,731,
402,526,525,649,532,493,904,649,323,402,712,417,824,373,343,534,330,150,305,
947,449,976,362,658,605,987,840,955,551,545,600,145,990,855,447,631,253,173,
700,764,987,588,350,987,424,634,900,318,485,870,995,118,735,022,072,692,846,
012,177,046,541,532,555,446,307,999,420,015,514,047,842,427,397,887,416,356,
916,171,620,365,010,792,808,319,509,416,131,116,057,771,851,513,727,139,028,
401,979,075,896,410,325,337,799,719,514,649,916,155,324,289,234,314,343,010,
546,393,187,777,363,549,783,677,810,247,244,213,915,303,369,956,397,402,847,
674,354,990,284,644,367,196,060,084,715,105,480,936,016,842,063,648,270,374,
740,330,910,943,121,773,046,484,199,044,946,885,066,609,176,021,803,608,779,
142,424,995,526,729,702,469,439,027,569,440,566,291,127,118,867,765,333,594,
625,288,140,656,118,643,950,663,296,128,334,981,098,657,307,008,210,735,961,
558,335,087,555,650,053,112,633,679,507,758,060,698,264,623,197,931,409,940,
028,951,113,997,637,375,445,962,408,103,672,253,063,289,470,357,582,173,539,
592,691,874,350,090,007,868,486,827,680,662,855,453,296,724,106,058,479,636,
937,245,387,302,696,711,269,429,028,192,112,469,785,213,988,530,503,373,222,
794,064,126,073,646,558,470,141,365,802,391,008,734,391,291,698,689,441,332,
276,077,240,171,398,142,217,137,802,010,674,071,882,425,595,354,100,863,667,
797,177,426,689,694,890,600,418,349,588,544,192,598,976,821,055,978,439,428,
264,835,844,888,233,486,455,299,523,255,837,794,866,160,393,552,750,006,594,
143,905,126,263,020,778,352,245,353,712,384,868,752,861,293,551,349,330,830,
670,277,490,030,802,684,341,418,214,508,134,207,013,593,931,320,156,422,462,
097,505,479,314,212,145,629,500,261,995,704,397,345,935,046,769,227,983,166,
713,676,316,436,090,912,087,112,109,173,560,386,555,132,457,707,840,823,480,
668,350,509,784,181,377,584,070,823,467,165,251,692,821,112,067,899,300,670,
362,022,829,355,895,322,602,929,628,833,752,426,853,197,274,902,604,917,236,
444,249,972,645,533,210,488,625,939,278,542,817,744,440,596,033,001,540,252,
772,183,004,110,110,311,442,821,376,514,778,384,509,747,814,189,954,447,544,
739,575,182,837,821,722,831,884,132,559,529,479,035,833,642,743,888,444,552,
123,240,014,264,650,604,519,665,351,126,915,003,770,210,633,426,200,596,386,
291,601,043,825,960,824,529,506,103,512,494,415,003,309,939,708,874,405,408,
851,528,883,208,224,806,426,327,519,532,320,293,025,565,885,652,928,996,165,
404,952,590,313,854,319,892,166,433,223,013,272,901,387,316,535,050,684,596,
535,112,020,331,560,268,136,815,975,294,992,374,703,468,011,211,525,600,493,
901,893,880,589,652,187,529,374,834,151,229,516,980,829,811,171,516,311,043,
091,701,670,891,302,396,848,181,213,007,910,123,315,711,677,072,352,259,612,
817,923,495,007,796,628,777,081,796,034,175,553,268,520,664,516,901,615,051,
907,514,471,615,551,708,521,171,495,951,722,462,441,903,944,163,644,853,181,
344,767,831,115,991,393,745,821,314,797,148,361,506,231,401,482,295,431,507,
865,186,120,783,485,745,053,029,921,610,181,539,460,558,004,653,208,945,769,
641,301,909,739,562,546,277,652,069,055,425,789,410,181,464,189,018,642,956,
073,583,568,238,971,791,217,795,073,158,730,848,600,375,673,717,695,243,405,
515,802,037,056,833,260,641,853,045,606,640,648,661,128,739,742,555,291,071,
069,863,921,217,028,190,686,903,092,366,735,425,642,179,013,941,297,127,304,
945,184,102,724,437,637,798,263,918,268,640,995,288,142,717,173,199,441,086,
697,104,874,457,638,767,979,563,570,374,074,446,935,388,027,138,607,496,149,
935,001,929,542,501,449,145,421,072,580,789,648,826,706,052,597,426,512,328,
133,551,595,040,117,037,003,024,425,259,857,423,295,185,616,809,142,051,811,
073,993,202,210,710,997,888,775,864,101,780,511,560,151,790,122,807,029,748,
215,662,367,040,214,805,811,661,375,081,646,289,852,258,788,547,348,720,641,
414,799,145,520,657,611,058,415,652,520,523,411,205,320,589,529,353,740,833,
475,662,260,913,113,784,361,040,514,062,331,420,411,740,716,384,891,407,301,
314,605,427,443,547,591,340,465,626,288,281,825,664,344,402,371,792,892,967,
482,815,938,110,119,995,131,285,891,105,041,442,307,198,915,841,192,992,712,
919,215,188,372,674,949,501,605,518,131,099,173,414,267,673,375,711,516,266,
419,715,662,364,857,403,152,413,808,940,174,624,582,537,834,085,408,057,966,
429,606,903,962,699,136,398,323,319,056,645,042,072,977,423,692,333,106,465,
202,143,099,595,217,480,889,480,672,615,796,879,267,242,948,241,165,436,562,
875,512,913,215,732,901,516,701,350,471,408,588,397,827,386,374,439,960,427,
364,788,595,451,770,640,935,054,352,204,725,827,887,952,995,236,803,107,158,
912,648,628,321,850,684,190,737,889,549,407,146,307,148,715,203,813,332,697,
460,465,418,526,045,642,105,094,465,225,314,001,119,924,769,661,910,119,519,
129,606,116,878,291,336,519,715,576,607,127,332,426,310,205,624,144,904,477,
972,920,619,482,159,052,298,265,343,110,376,263,290,897,570,014,686,414,247,
018,850,429,483,645,934,590,332,172,850,715,123,378,159,608,343,541,442,599,
971,314,504,938,792,851,092,142,665,095,897,214,972,956,621,588,778,792,755,
025,605,855,050,200,597,278,265,567,351,640,233,128,703,120,450,504,292,541,
820,392,202,701,683,648,020,972,481,564,267,318,474,542,611,257,671,653,676,
359,205,505,384,487,356,027,282,441,862,725,161,326,813,423,409,875,950,079,
495,335,158,017,246,107,750,766,877,659,599,940,784,709,018,980,347,301,600,
138,635,031,243,920,451,764,383,787,512,100,525,500,920,960,723,359,828,077,
271,934,322,922,096,597,438,602,320,307,886,051,328,129,944,088,691,472,411,
033,758,216,831,708,288,496,119,609,437,708,483,990,297,469,712,642,827,959,
250,564,190,845,320,115,566,367,740,218,536,085,051,272,186,000,304,736,626,
052,475,605,291,420,093,307,204,622,197,176,783,764,260,698,170,758,446,635,
872,596,800,118,519,320,766,803,871,022,395,545,240,302,760,027,646,605,440,
096,695,088,830,896,714,023,961,353,524,985,641,583,224,165,087,482,450,698,
098,871,390,280,720,521,318,250,263,455,384,371,155,595,645,873,642,708,951,
206,822,115,463,337,281,737,681,510,546,630,089,552,280,311,662,712,513,657,
730,951,785,712,884,764,465,687,241,407,722,678,463,615,865,132,834,118,215,
061,017,767,604,898,760,791,285,387,329,596,412,820,242,410,116,992,712,818,
571,034,157,756,591,995,155,746,059,963,877,434,745,918,752,842,482,848,713,
232,847,871,729,426,686,964,526,801,092,343,229,984,946,444,286,751,759,773,
331,358,696,739,819,422,260,282,082,265,628,898,520,746,301,976,108,813,566,
553,069,354,225,350,676,448,466,018,583,397,550,170,812,792,718,328,644,500,
036,458,898,073,919,034,601,451,149,830,618,632,693,243,882,792,760,936,885,
974,872,301,769,825,077,249,501,404,214,295,219,187,951,076,587,785,685,746,
359,261,492,010,233,129,124,556,579,626,988,223,919,213,622,493,312,443,290,
666,128,166,433,385,746,236,608,340,373,862,782,281,741,731,625,763,985,619,
563,581,509,969,776,939,548,621,224,226,681,031,841,917,384,147,972,103,768,
508,255,219,389,342,896,199,465,400,974,015,183,697,110,937,623,383,000,812,
223,623,192,840,179,210,568,762,026,065,638,994,465,714,087,850,112,347,167,
953,092,784,571,664,786,147,821,591,117,125,779,546,827,373,816,927,893,006,
370,092,257,708,218,565,120,594,953,933,742,815,623,298,287,257,150,439,398,
450,437,695,360,879,128,684,918,990,920,843,511,647,425,598,404,318,707,095,
620,743,597,016,849,856,528,573,259,080,590,700,952,832,512,231,316,571,684,
107,527,974,758,182,135,450,893,523,581,085,594,631,890,561,025,366,368,610,
997,916,272,561,889,042,627,136,607,265,858,733,450,103,605,127,465,434,166,
436,782,582,299,965,527,672,287,375,132,875,936,598,888,324,026,356,056,903,
589,706,320,090,115,483,831,927,273,056,492,698,673,947,346,952,061,777,242,
532,956,389,673,221,448,139,750,588,451,071,984,762,428,343,011,084,967,757,
474,312,390,154,907,199,253,209,160,426,381,149,194,674,409,938,976,116,382,
772,040,813,107,847,787,262,333,283,004,665,502,036,318,083,738,007,450,102,
091,475,298,657,292,613,245,115,029,537,182,820,452,753,251,777,651,524,984,
584,060,618,986,831,778,215,556,993,645,968,702,142,235,052,994,737,645,021,
495,608,754,519,096,939,418,985,410,457,542,550,934,626,416,866,497,560,662,
512,536,735,641,997,390,137,742,445,812,430,833,749,896,149,240,949,664,338,
675,994,908,158,334,236,489,751,021,423,307,913,037,988,721,276,500,465,447,
607,474,086,975,199,159,812,513,081,185,577,065,751,831,089,355,384,650,066,
435,439,569,360,458,767,325,986,767,967,479,442,553,436,667,770,697,061,874,
647,676,511,494,789,923,838,893,121,453,286,577,263,210,906,539,921,963,151,
219,060,195,001,422,823,747,733,395,446,535,263,612,930,878,090,520,134,399,
264,402,077,811,285,572,152,434,014,103,345,586,260,367,114,007,966,366,766,
823,736,292,130,004,633,998,268,642,717,822,958,773,730,283,054,959,021,324,
032,607,615,258,248,563,720,545,395,271,410,258,265,832,645,691,445,523,053,
728,458,729,835,746,563,106,842,663,892,475,789,371,971,020,910,947,780,406,
820,364,452,112,899,429,256,213,533,052,427,917,715,736,086,137,885,214,867,
249,302,703,316,371,930,136,290,556,354,708,724,274,788,320,533,322,405,459,
522,950,726,408,416,611,974,682,712,663,704,921,863,037,804,249,429,247,082,
973,139,731,282,696,793,271,638,304,091,922,974,471,763,197,757,233,293,390,
582,571,460,339,166,760,633,747,808,599,284,222,503,775,967,799,932,983,828,
054,794,674,494,735,083,305,033,508,231,735,572,818,909,089,996,910,420,203,
573,745,385,175,038,967,836,090,299,173,428,412,831,577,721,745,406,416,672,
982,603,840,144,445,456,593,474,042,718,792,556,854,609,635,902,753,915,382,
539,792,780,707,335,754,525,785,848,408,062,380,257,732,567,122,518,160,140,
055,426,853,326,322,225,545,442,918,273,019,152,973,929,030,423,466,944,930,
392,895,012,002,879,322,390,905,257,823,890,215,936,692,008,262,594,216,966,
679,546,004,691,184,818,734,796,175,149,712,793,970,842,035,406,934,901,604,
038,734,070,112,240,891,776,681,477,039,638,031,852,653,412,769,160,894,702,
511,897,485,772,346,745,806,548,390,063,182,455,393,366,538,916,912,968,470,
920,433,505,666,287,507,417,647,652,886,667,652,112,467,973,150,673,649,051,
013,737,780,456,137,724,061,418,732,292,863,396,478,252,876,016,505,227,269,
968,134,496,185,122,642,119,571,809,246,079,980,346,788,797,998,628,420,955,
089,836,667,660,625,686,019,446,336,672,664,336,300,476,527,785,939,338,787,
003,900,773,657,610,304,090,000,996,805,581,999,800,416,976,577,087,589,578,
404,688,424,480,697,821,362,986,278,514,078,302,757,523,008,531,518,488,543,
644,857,845,084,383,596,397,980,067,902,061,712,606,449,711,595,643,387,396,
496,626,776,136,754,039,292,146,698,000,139,122,278,974,550,557,536,844,478,
074,694,951,092,896,210,642,933,438,901,812,690,197,955,094,042,721,220,515,
096,260,990,196,071,891,928,624,606,634,012,662,514,355,703,817,180,703,730,
571,770,919,606,416,893,952,018,803,451,050,299,302,990,153,960,633,346,749,
120,796,341,611,303,060,229,748,794,934,226,077,855,198,944,661,611,089,442,
562,529,493,430,772,147,114,069,729,192,165,655,412,332,662,908,866,878,029,
300,181,084,081,637,397,458,108,578,285,948,776,039,249,663,991,963,934,261,
123,371,979,313,138,680,112,222,039,532,919,612,500,924,320,005,392,178,843,
700,480,681,685,794,110,515,484,277,514,943,982,141,020,681,675,444,257,169,
093,814,250,530,550,706,423,633,441,600,927,475,436,296,176,213,014,385,712,
349,518,061,038,396,809,933,431,449,489,793,110,818,731,052,111,881,190,644,
629,855,410,212,083,859,748,381,823,635,254,036,851,378,475,813,133,838,486,
873,853,706,725,975,691,126,315,865,881,937,322,681,306,922,687,148,242,436,
661,688,061,529,602,141,639,243,820,306,374,637,468,596,804,521,601,242,927,
516,080,713,385,388,499,604,092,949,534,444,497,087,682,131,740,845,592,485,
136,176,887,885,355,127,216,977,528,614,398,477,108,509,032,281,133,225,751,
339,123,373,171,906,803,947,701,793,857,725,405,118,415,097,322,142,509,248,
196,891,956,048,159,081,800,969,100,490,390,570,528,091,114,404,938,582,050,
476,023,773,432,774,408,069,046,393,544,506,821,314,169,183,996,027,034,426,
535,963,773,797,745,145,705,168,234,836,114,850,251,360,533,632,189,807,716,
178,802,834,761,873,076,865,185,128,707,259,319,159,280,049,182,142,357,879,
889,690,529,161,466,831,719,698,686,763,383,408,716,141,247,824,483,700,679,
341,030,236,152,417,638,126,838,127,198,772,834,588,788,737,962,323,854,825,
973,933,651,056,376,333,171,048,087,954,209,434,831,935,975,051,518,247,342,
744,785,133,515,216,745,730,653,178,582,961,201,846,539,400,352,130,604,156,
911,821,836,387,376,213,430,623,244,865,137,654,357,939,006,821,300,380,972,
771,959,252,952,334,890,934,875,604,455,845,932,146,174,422,948,064,120,092,
628,079,768,640,475,281,844,268,446,610,200,280,400,938,355,509,084,885,112,
157,071,379,300,845,973,468,442,229,093,440,926,196,778,043,626,714,039,304,
519,960,941,010,116,769,926,987,483,429,408,911,762,424,133,410,142,312,983,
605,825,454,660,366,744,692,375,126,363,542,828,485,050,091,534,344,808,558,
478,661,427,241,195,751,533,057,924,111,847,102,639,691,788,149,174,412,381,
823,008,311,499,003,697,957,719,462,328,557,868,714,312,368,373,772,939,045,
203,479,163,293,914,686,717,392,258,670,476,145,984,443,046,539,190,807,918,
236,978,158,349,006,747,277,087,337,376,169,097,969,395,089,827,258,012,797,
900,253,823,548,746,799,925,490,709,696,202,724,160,649,891,137,729,408,263,
597,039,038,377,428,457,278,062,314,970,829,995,904,554,279,359,915,132,506,
966,260,014,932,640,210,041,945,382,997,037,851,315,867,513,518,451,041,022,
568,200,244,061,693,649,788,138,501,335,973,017,972,573,281,840,907,485,897,
793,363,282,450,718,872,005,526,310,875,725,923,957,290,684,676,722,470,194,
450,546,428,249,494,490,256,455,945,181,587,788,524,578,371,744,960,380,813,
459,206,903,296,299,713,961,872,997,798,188,743,909,661,900,128,415,641,816,
588,604,094,149,171,163,774,083,645,558,796,442,191,238,314,953,468,001,183,
932,577,475,954,023,849,358,706,468,502,679,863,078,081,972,328,017,682,977,
697,904,442,944,809,978,262,733,109,480,754,021,229,821,325,253,633,761,972,
375,051,308,615,104,956,598,379,494,760,570,156,182,039,293,439,549,791,643,
253,619,966,016,408,666,018,381,721,221,979,865,075,907,752,152,833,121,539,
063,848,324,307,910,495,593,321,610,859,952,252,121,363,912,254,176,460,345,
722,511,211,568,606,922,196,012,950,945,753,977,333,160,621,283,505,229,353,
098,476,261,014,985,464,732,911,001,358,666,632,206,461,158,683,320,256,242,
775,329,755,354,744,342,378,679,112,739,774,014,471,048,301,796,953,334,151,
547,682,305,233,683,348,391,377,077,052,014,754,409,807,424,010,258,711,919,
165,201,832,962,524,204,215,872,921,610,640,909,833,444,317,747,567,946,638,
452,799,441,592,876,265,749,467,272,022,668,238,004,586,567,713,823,106,866,
480,449,278,653,958,038,193,985,730,603,385,176,890,374,761,008,673,270,277,
573,038,990,061,454,365,035,777,771,785,228,804,660,454,387,655,049,122,354,
322,970,326,893,904,574,465,972,670,280,428,919,313,473,695,633,226,457,767,
829,104,773,639,241,984,586,262,853,987,178,884,633,518,442,494,136,893,137,
051,839,836,201,419,873,896,392,700,827,828,026,788,597,844,265,171,592,108,
226,465,833,375,743,013,231,247,598,441,698,849,176,920,951,483,390,592,592,
561,289,202,971,812,249,276,305,743,497,422,443,847,002,188,880,252,655,722,
147,468,906,885,114,356,618,770,298,395,207,896,469,939,377,917,012,895,956,
868,465,242,832,407,995,081,216,006,694,760,300,770,554,772,733,655,324,789,
090,858,289,136,127,960,786,237,503,918,381,145,848,090,060,571,552,979,665,
233,332,911,821,654,056,726,842,252,089,022,757,565,806,386,825,830,529,936,
234,191,180,645,643,396,714,226,199,297,749,410,543,987,060,673,710,285,635,
507,596,534,456,839,663,283,933,099,806,478,258,058,357,251,819,468,621,704,
059,662,705,307,892,308,754,194,027,130,154,748,552,044,016,444,187,650,362,
249,772,083,248,652,220,187,644,623,332,434,844,330,207,485,838,698,051,149,
254,323,364,548,521,167,771,515,764,641,953,489,116,444,367,106,456,763,597,
818,703,945,766,163,166,969,298,467,452,851,096,379,915,723,147,252,672,292,
571,435,950,087,771,000,831,267,317,984,413,932,864,863,968,284,600,611,664,
646,282,916,011,635,936,446,066,960,296,015,927,749,150,805,732,119,450,522,
295,709,642,406,843,426,435,078,922,961,937,349,621,338,475,158,807,129,285,
797,047,015,095,353,662,912,634,802,006,266,894,968,240,705,145,434,379,616,
328,392,473,945,872,944,871,545,955,650,383,862,511,491,361,380,330,805,465,
278,017,514,350,654,405,050,228,808,895,783,633,081,715,879,888,826,190,406,
669,383,845,852,632,366,760,148,816,594,906,111,209,956,896,503,214,715,499,
012,993,671,358,316,525,080,113,757,465,745,163,009,438,091,830,093,237,669,
896,140,437,273,831,433,321,431,067,178,819,067,855,914,218,029,311,178,079,
682,388,468,135,429,778,301,005,697,548,696,266,194,983,184,542,584,966,024,
100,229,334,250,298,008,510,762,078,961,437,403,953,455,305,022,779,448,109,
479,535,162,783,757,964,318,278,526,700,616,865,190,679,142,731,947,697,870,
132,455,142,131,880,469,213,113,657,973,131,307,744,401,404,717,303,548,590,
271,269,465,387,032,734,801,272,966,069,373,568,309,797,029,094,706,897,977,
908,032,578,009,214,587,689,849,395,369,183,850,235,404,029,883,812,727,723,
681,822,598,909,535,064,644,281,868,528,116,254,693,266,047,818,644,285,833,
828,136,701,218,570,337,839,358,134,209,208,525,763,158,369,750,125,786,698,
054,459,366,536,115,405,430,189,842,222,066,583,263,470,426,924,206,235,348,
318,502,581,136,955,865,121,460,096,902,162,534,510,483,912,104,031,502,206,
985,738,280,452,028,398,189,312,813,146,346,300,942,814,043,135,149,334,610,
576,949,823,754,535,215,881,073,291,318,551,962,802,569,670,279,780,838,026,
676,725,148,534,555,766,370,448,446,762,068,906,883,331,467,140,933,000,841,
963,396,926,846,177,095,346,256,387,612,790,850,310,084,952,504,496,230,077,
135,061,395,524,120,485,198,081,014,389,154,001,965,265,274,325,326,030,691,
611,399,344,695,460,318,432,688,929,708,577,571,072,965,326,081,580,531,592,
846,963,940,674,069,134,625,626,400,884,042,326,662,056,905,805,036,862,226,
126,779,918,764,923,514,929,193,168,228,680,259,782,132,191,117,662,320,511,
924,548,687,917,164,004,162,286,899,989,097,658,468,110,149,634,247,414,816,
683,186,496,809,522,086,959,774,762,840,232,507,409,039,484,457,395,800,690,
270,143,018,718,253,268,168,050,887,302,307,187,753,567,558,426,894,420,507,
303,200,699,703,099,459,768,699,574,643,185,821,919,609,143,947,830,890,393,
651,244,529,360,039,139,395,349,802,976,885,606,006,472,310,373,999,204,957,
102,237,955,004,325,015,389,619,748,023,976,955,596,597,754,122,751,081,425,
880,564,463,282,629,446,465,091,785,487,333,081,224,411,779,681,652,259,243,
013,982,917,207,196,067,910,021,759,358,596,974,298,160,077,234,093,549,189,
989,488,070,146,365,582,844,197,571,121,949,983,189,528,641,950,709,696,570,
236,004,557,481,564,076,676,147,889,549,350,045,864,812,103,774,268,273,301,
537,333,336,721,605,596,924,117,798,270,735,023,813,244,497,603,956,386,519,
912,903,931,577,172,665,836,547,106,510,832,353,379,872,589,346,513,603,150,
159,855,299,447,258,977,791,872,690,879,954,886,722,230,795,139,298,364,797,
980,156,426,876,701,606,086,004,923,243,674,037,820,102,034,229,943,200,145,
945,467,086,865,342,801,745,426,477,896,114,124,561,070,642,229,664,938,440,
333,157,274,127,778,705,407,802,050,377,918,410,432,055,151,844,584,395,008,
773,177,851,679,404,918,830,976,688,237,873,756,943,375,009,629,122,900,245,
976,715,651,139,210,257,738,652,948,827,829,740,243,972,196,813,588,857,101,
549,679,157,578,362,176,535,178,237,076,617,357,836,822,033,618,726,228,090,
640,289,758,726,974,657,030,508,271,257,454,541,971,198,287,536,684,402,882,
332,103,226,044,856,358,678,968,205,314,695,297,151,167,422,574,093,418,128,
466,256,313,281,048,781,399,887,865,943,059,245,315,357,926,936,451,202,563,
603,860,973,756,004,136,351,045,790,883,980,199,565,524,880,926,415,656,837,
976,252,103,071,751,384,869,522,765,942,348,066,402,231,000,184,870,095,862,
179,242,489,463,713,240,830,859,309,430,213,261,873,364,258,655,426,787,909,
144,712,499,320,120,174,607,406,187,453,614,876,985,492,773,979,329,361,260,
741,140,627,302,805,411,030,346,528,741,043,278,484,965,661,884,871,472,858,
198,246,253,627,356,541,455,023,958,589,818,650,475,341,600,729,799,174,837,
612,988,475,935,690,921,599,867,109,410,162,768,453,982,225,403,687,674,478,
875,255,695,308,873,124,112,018,937,571,072,401,808,642,855,801,397,399,922,
929,783,953,880,883,497,839,523,192,071,462,532,716,536,351,745,960,347,042,
774,892,014,244,448,264,781,565,245,328,357,859,533,996,993,901,224,183,140,
424,217,733,145,049,884,772,841,100,444,184,334,619,126,933,272,013,769,426,
604,685,212,327,942,671,516,557,421,313,763,791,431,964,141,664,807,915,863,
980,565,283,482,827,121,050,125,633,236,629,357,170,556,162,037,720,451,534,
059,414,912,573,914,751,030,708,492,850,627,442,989,160,859,360,337,229,432,
236,707,037,297,814,220,865,150,023,301,623,050,605,983,207,656,227,213,437,
262,640,005,151,390,543,936,264,522,601,677,117,966,986,441,290,413,973,411,
312,185,502,569,300,043,071,958,123,547,477,689,045,295,983,133,817,743,336,
867,488,067,080,873,062,313,980,442,840,768,301,021,785,761,088,123,536,081,
162,629,763,762,741,076,593,589,322,585,737,553,338,514,444,237,874,760,975,
893,878,651,371,227,466,287,264,061,330,534,969,212,917,943,506,687,622,851,
496,090,948,681,561,715,563,221,944,837,270,106,296,708,305,629,480,757,572,
401,585,410,995,444,875,762,780,649,925,511,275,785,359,112,789,897,728,234,
154,990,231,153,168,200,049,531,956,959,795,425,989,505,166,681,172,367,585,
535,722,619,267,151,890,830,189,792,490,112,948,700,773,418,042,150,016,389,
055,670,462,374,767,706,720,183,566,130,563,640,790,235,236,978,031,688,885,
162,273,620,525,439,030,756,681,795,324,300,938,024,045,763,842,402,578,778,
262,130,609,456,208,530,679,533,845,442,947,111,346,885,762,225,831,335,409,
800,967,354,861,460,097,318,665,058,584,516,279,133,225,124,907,761,816,208,
785,123,079,311,680,462,828,749,083,635,139,113,038,266,970,825,023,924,475,
211,679,365,991,781,346,111,220,993,946,458,175,412,390,048,391,194,999,302,
273,710,121,474,318,381,187,153,421,326,134,126,061,645,381,160,400,932,789,
402,051,719,487,235,842,860,412,896,312,401,997,993,937,578,546,100,036,909,
457,876,640,678,005,433,413,560,515,089,463,163,354,734,147,181,872,656,637,
659,775,239,454,762,923,292,207,861,183,479,576,322,924,301,933,427,897,636,
342,025,387,690,544,527,248,156,222,481,559,557,854,535,661,865,851,340,428,
713,015,303,917,147,080,611,244,810,014,739,519,839,559,936,707,560,483,184,
664,701,889,694,526,996,871,087,349,331,587,290,065,697,935,955,010,209,647,
700,474,014,722,012,373,518,720,124,419,439,139,900,809,889,437,329,765,706,
581,423,127,226,555,903,369,957,158,713,789,946,138,884,164,026,430,198,669,
949,159,266,228,373,008,518,709,977,247,191,860,225,418,370,410,706,172,986,
874,475,162,195,631,782,924,101,098,398,448,915,756,654,231,706,050,377,143,
751,070,851,705,978,895,495,732,182,139,477,218,639,369,545,881,521,384,139,
628,481,586,776,299,483,638,842,798,946,520,198,172,201,911,327,927,385,122,
144,388,348,439,344,660,467,108,940,774,622,769,081,084,507,495,940,274,490,
123,890,217,092,553,534,650,095,159,960,759,406,146,893,623,177,906,161,523,
596,144,495,235,666,036,378,990,230,701,989,135,703,567,401,825,828,251,392,
981,698,020,505,985,123,361,047,654,170,313,672,379,171,654,268,360,174,672,
530,489,665,836,018,483,784,427,684,829,616,265,942,176,619,337,724,044,130,
392,035,800,055,275,598,520,637,158,812,500,273,987,969,909,535,072,248,405,
930,877,885,319,687,447,099,123,982,844,952,263,292,551,253,873,660,578,214,
602,307,370,858,581,236,878,008,920,595,861,643,073,280,862,225,357,619,180,
832,408,351,154,989,193,049,759,754,863,092,890,797,501,076,346,110,081,963,
639,254,115,441,441,252,431,394,595,829,486,402,389,492,799,468,095,419,158,
280,887,957,538,136,256,162,912,372,555,274,247,987,895,605,648,851,259,369,
357,761,017,660,131,981,299,385,029,492,043,730,821,841,855,244,954,421,108,
071,736,601,859,135,710,003,126,004,437,486,262,727,913,978,781,174,246,708,
173,405,098,968,652,109,508,557,233,575,309,892,451,788,239,447,056,223,160,
686,438,581,100,533,401,625,542,319,389,592,767,762,901,141,990,141,236,025,
758,943,503,577,210,735,606,875,305,119,736,232,092,775,459,721,745,810,751,
659,419,217,683,847,430,704,180,263,714,236,268,297,124,679,340,415,559,713,
167,245,853,698,287,322,822,786,297,267,985,039,216,442,267,819,400,598,142,
111,984,923,520,646,605,082,797,040,737,158,350,657,778,320,141,312,445,763,
958,153,307,665,601,394,485,746,603,732,411,232,861,503,247,604,431,954,021,
851,743,735,265,863,107,453,227,584,474,669,561,574,214,648,585,925,153,675,
161,098,579,994,785,411,308,318,352,953,249,687,571,122,180,030,052,429,096,
134,828,496,826,232,780,257,996,332,091,595,788,741,031,907,361,004,460,901,
404,815,979,589,056,828,627,571,183,307,337,769,548,147,692,892,290,553,271,
812,946,551,903,421,689,472,728,999,933,552,259,413,066,111,119,747,776,250,
302,549,335,632,793,109,837,922,630,482,367,071,806,191,557,540,080,932,750,
040,915,417,134,340,472,415,355,180,414,990,344,370,827,250,603,576,965,197,
173,540,476,484,703,924,198,582,622,271,920,382,960,097,406,952,051,636,075,
313,377,764,342,582,932,867,838,091,403,948,053,628,632,458,365,325,419,528,
434,526,820,756,379,548,165,945,859,099,967,812,862,906,339,862,887,177,405,
242,276,959,614,338,530,168,772,340,430,788,653,771,149,380,215,828,665,704,
166,372,094,047,968,007,349,398,787,116,779,499,277,348,113,138,922,126,340,
845,780,871,016,074,203,585,845,125,003,728,446,821,677,851,401,045,091,488,
517,185,535,178,435,439,526,329,456,096,482,962,354,884,349,058,862,947,949,
140,228,973,322,477,503,301,115,186,647,494,246,621,261,677,055,589,789,421,
670,803,043,615,254,336,665,986,466,216,301,786,095,426,910,425,737,520,767,
276,258,318,290,061,727,492,660,890,354,193,514,810,780,575,048,323,154,616,
629,598,231,383,437,817,256,412,126,087,791,662,343,443,295,817,188,120,806,
086,269,373,590,018,671,577,863,006,824,795,665,783,183,853,667,612,536,112,
654,450,653,499,516,429,134,163,833,875,528,158,617,255,581,519,683,009,132,
944,107,663,587,663,122,160,973,240,879,818,825,856,965,482,246,196,134,068,
900,554,579,719,857,945,039,465,445,156,761,610,972,182,505,024,188,921,953,
566,671,108,094,188,601,158,811,518,134,204,140,877,266,879,309,716,918,224,
935,934,579,833,504,481,920,954,780,406,289,790,488,649,367,262,424,810,024,
769,370,457,570,693,650,157,155,920,225,384,531,506,880,304,215,326,874,995,
885,982,985,907,969,984,754,053,693,299,351,659,323,961,401,450,939,169,455,
295,861,490,650,986,726,297,232,349,386,367,955,375,777,744,645,203,919,197,
351,717,391,043,488,032,864,507,607,834,783,437,706,256,427,683,934,638,294,
262,712,432,344,744,752,086,793,338,249,644,296,483,186,110,128,536,701,007,
107,143,422,705,520,654,409,726,463,697,787,736,840,900,364,761,354,481,608,
152,769,021,284,439,688,945,722,409,117,458,340,998,625,890,852,515,932,721,
218,230,879,419,786,506,765,081,754,590,589,266,664,169,469,078,345,582,318,
838,683,523,409,778,823,604,885,811,172,735,007,199,222,670,503,692,801,061,
026,195,753,420,972,525,015,716,424,641,099,258,729,689,959,506,643,062,292,
972,516,475,012,803,416,833,441,030,944,348,777,901,129,618,804,106,033,722,
177,457,886,410,559,457,325,960,604,555,033,580,186,174,949,393,530,059,212,
006,075,878,523,314,118,124,842,730,552,759,318,688,935,830,465,736,352,775,
689,553,822,201,041,745,274,581,573,527,267,829,985,146,682,327,316,558,582,
813,989,778,690,328,455,879,357,188,744,032,487,101,716,626,509,927,760,165,
402,562,355,332,127,408,571,795,274,721,759,764,553,321,943,918,155,991,500,
312,179,617,351,424,563,954,952,738,745,383,009,511,219,631,382,897,814,311,
957,868,333,370,682,808,096,794,885,585,951,433,397,658,870,380,673,433,165,
191,910,549,241,295,057,194,479,858,907,604,201,421,974,568,035,647,692,183,
137,815,070,167,735,291,116,733,669,379,079,568,884,431,578,267,239,305,411,
588,911,484,429,605,354,199,994,649,795,012,647,799,956,016,505,028,097,235,
845,435,753,657,208,063,107,267,396,627,967,306,866,214,543,879,566,360,957,
526,887,542,070,169,616,651,521,073,550,992,635,611,597,971,436,144,790,621,
691,840,432,194,152,617,841,148,513,223,578,531,326,080,740,496,827,204,158,
867,517,434,391,848,906,031,102,113,281,935,954,948,513,995,761,255,277,498,
710,006,145,646,934,070,213,972,867,782,781,953,981,808,365,538,101,721,248,
204,052,770,988,890,892,825,949,511,701,049,593,426,531,023,628,604,497,596,
006,577,427,608,427,688,096,342,398,881,446,131,749,658,884,731,731,012,539,
717,987,274,700,955,002,695,001,789,956,361,029,221,562,723,018,168,611,077,
983,609,400,441,173,972,256,641,959,124,068,780,148,311,165,422,576,423,277,
666,668,499,605,057,501,340,212,999,129,982,757,397,905,879,554,150,504,838,
367,686,692,617,145,119,764,895,127,818,835,886,503,568,707,016,568,164,057,
975,375,789,151,793,654,465,774,518,403,066,297,113,142,871,571,905,447,644,
190,878,299,379,408,795,029,053,445,812,275,504,896,378,755,809,003,265,350,
483,026,759,803,392,317,661,234,165,608,661,716,257,178,402,194,243,176,266,
018,568,399,239,167,964,903,461,123,848,516,875,627,906,026,970,609,719,087,
989,055,783,366,511,205,276,066,371,423,425,046,454,098,808,898,269,720,405,
103,588,557,657,045,844,029,095,284,991,246,354,916,167,678,041,675,823,502,
784,259,097,240,777,726,104,673,290,955,026,559,521,521,701,643,084,781,319,
939,393,326,436,876,724,610,615,808,798,002,378,548,308,206,382,823,309,985,
561,854,830,589,175,178,974,831,180,191,643,911,006,262,084,302,574,320,496,
704,594,301,736,790,807,273,858,476,759,888,327,961,301,979,286,135,559,806,
961,429,135,307,256,009,952,715,665,292,116,140,699,926,113,512,260,999,037,
805,383,152,303,204,770,665,300,976,117,435,425,942,055,583,694,409,519,050,
639,622,459,849,219,601,076,418,172,468,335,621,343,989,185,132,705,040,218,
375,544,282,467,560,839,944,612,777,784,384,711,404,155,879,220,187,461,555,
652,066,711,886,251,165,789,078,282,922,061,935,762,803,199,629,855,486,720,
520,448,225,011,537,931,640,179,427,129,514,774,598,750,388,173,398,584,748,
438,500,677,535,661,180,944,484,297,325,403,849,178,994,943,836,218,984,999,
402,828,556,948,505,777,309,589,781,455,713,377,456,677,380,145,973,215,539,
276,619,242,197,074,606,721,578,646,474,890,058,254,456,508,457,401,496,687,
454,792,677,093,311,369,344,935,524,414,857,567,594,790,794,317,743,515,787,
529,605,691,761,819,368,376,107,648,704,693,666,745,974,905,354,679,757,123,
264,983,863,210,394,305,380,295,263,220,896,930,450,473,656,665,570,021,261,
511,545,179,392,662,714,765,358,416,331,633,197,600,144,655,862,267,312,121,
970,076,507,797,595,132,349,493,172,666,214,666,401,759,396,516,544,168,748,
426,470,467,526,701,962,603,967,895,759,241,712,361,779,202,695,884,242,522,
355,416,167,500,908,346,467,428,274,690,394,380,189,376,214,577,050,717,390,
359,874,988,006,096,691,973,702,492,949,391,931,993,943,360,161,937,818,774,
172,241,091,959,970,446,131,229,568,836,379,559,428,382,538,859,156,761,559,
487,152,350,065,167,681,798,038,432,055,459,828,451,706,521,748,321,160,272,
516,056,550,310,948,223,620,943,794,302,524,295,120,622,972,580,951,782,070,
316,416,791,473,377,337,805,874,004,979,498,580,148,196,100,806,092,015,104,
656,479,778,927,002,791,335,538,203,419,026,744,953,248,644,857,139,526,392,
947,505,402,159,999,475,281,546,786,993,930,196,281,043,497,400,476,257,066,
070,937,813,708,913,622,530,317,781,818,489,688,377,333,234,900,383,202,331,
849,681,431,714,523,907,701,535,876,271,994,605,930,154,555,545,293,738,539,
578,610,972,912,613,328,566,118,490,566,327,221,602,945,012,955,043,189,090,
192,739,162,414,002,995,239,926,173,992,530,854,048,052,775,819,047,412,030,
363,087,341,115,976,679,111,385,587,403,347,079,768,778,054,911,275,233,991,
614,000,160,489,709,859,433,860,264,538,516,385,663,778,026,190,055,846,760,
075,903,914,842,319,656,580,660,020,887,420,327,339,572,370,191,219,176,644,
790,587,286,591,337,766,520,838,207,160,290,721,751,106,351,533,682,276,003,
517,633,232,029,804,236,691,372,397,327,907,512,147,023,516,090,517,778,398,
673,760,745,376,664,879,119,080,606,647,976,561,006,407,333,694,577,292,052,
710,304,768,131,783,061,752,062,232,360,486,394,968,087,698,770,684,362,617,
584,345,610,961,294,767,332,724,277,899,862,656,037,502,518,963,735,611,515,
659,621,937,321,201,712,779,672,044,465,792,888,306,463,447,925,776,475,265,
703,058,464,665,528,473,357,014,124,107,300,068,054,806,724,338,452,913,780,
470,612,805,708,668,396,101,376,694,064,665,471,220,013,847,663,922,502,617,
799,485,894,498,296,739,340,513,272,484,775,204,545,579,457,205,543,605,185,
899,656,112,924,294,350,090,212,908,012,248,880,950,072,566,359,267,088,805,
121,957,904,102,117,057,105,159,130,446,730,267,320,514,687,824,061,568,800,
004,636,466,805,467,302,054,958,222,728,602,666,298,860,032,567,131,244,277,
709,110,332,787,306,153,973,195,193,890,317,818,204,221,065,231,548,975,711,
061,785,602,297,215,796,860,786,018,900,056,697,029,151,111,134,377,060,295,
693,312,160,447,710,660,413,526,269,572,980,697,537,132,058,300,800,708,439,
984,317,412,075,574,181,664,590,563,031,399,942,235,645,289,225,082,705,354,
282,941,949,621,313,290,523,482,020,605,381,961,459,218,134,677,701,548,896,
643,915,611,700,048,663,805,356,821,894,326,128,133,237,494,227,818,738,630,
624,014,367,887,825,189,337,390,285,266,766,658,136,807,284,454,469,549,591,
681,541,890,519,992,786,527,270,398,869,093,515,046,226,541,805,646,278,643,
930,383,888,375,228,650,072,436,065,003,968,277,329,492,323,275,059,127,151,
352,250,046,369,831,780,033,327,227,524,765,467,073,130,666,315,139,546,270,
011,982,319,410,238,496,432,933,515,974,877,167,877,797,197,453,813,795,127,
120,580,454,159,751,970,621,390,599,553,413,485,004,633,360,691,573,859,413,
734,632,562,332,286,910,406,420,870,679,080,635,627,353,367,676,051,275,429,
003,568,038,873,089,791,520,528,857,777,045,086,072,169,501,542,725,807,764,
749,323,179,463,526,371,343,226,743,427,275,805,114,144,126,175,666,988,183,
552,024,250,924,658,980,044,417,751,670,886,020,010,980,441,630,300,796,605,
006,125,485,454,261,209,917,047,031,976,754,877,517,850,294,265,388,619,472,
674,217,806,631,717,541,675,579,621,781,794,671,028,988,772,217,441,921,087,
828,690,448,834,058,807,377,042,744,977,529,433,356,610,131,707,483,110,769,
828,144,958,253,627,119,329,615,189,551,428,913,428,248,401,159,085,033,532,
177,722,301,038,158,463,923,161,976,614,972,610,302,960,918,666,581,308,035,
483,116,891,107,845,483,126,224,861,406,704,027,911,997,785,477,355,055,423,
825,005,280,667,196,879,023,420,717,890,482,241,258,499,152,825,142,098,611,
408,462,516,207,302,553,573,681,266,925,082,543,831,844,762,875,357,289,992,
725,016,821,679,366,222,007,586,808,266,338,018,908,174,499,736,871,428,677,
923,530,466,461,070,402,740,313,536,262,490,783,690,900,708,578,915,632,703,
085,143,828,886,938,740,826,908,062,227,005,251,848,623,476,751,449,195,764,
907,923,717,376,982,075,187,682,241,510,862,984,513,291,723,334,967,754,061,
982,816,932,079,952,618,074,804,258,826,947,288,996,534,796,451,015,209,912,
557,475,576,190,413,480,373,275,892,503,184,397,575,488,482,953,450,951,231,
913,076,593,779,326,566,444,675,689,364,801,531,161,629,586,568,879,626,441,
179,027,635,221,283,463,086,449,508,494,827,769,281,944,692,163,199,952,888,
821,020,074,950,123,320,002,577,389,194,625,986,476,736,768,858,939,615,386,
892,007,857,110,534,184,502,499,635,427,053,605,727,379,761,151,647,956,196,
638,821,602,726,198,092,011,849,241,387,514,805,643,435,532,775,630,050,084,
595,528,846,971,815,845,429,065,665,363,622,044,813,115,722,459,321,130,858,
498,621,587,484,411,955,045,073,326,974,931,240,897,740,233,340,043,828,816,
341,098,796,174,196,734,539,186,942,216,130,707,059,875,149,017,799,854,244,
269,856,938,002,742,640,404,718,356,596,519,460,716,477,244,899,164,350,793,
882,249,565,251,466,081,353,748,630,936,233,430,234,380,290,264,096,931,628,
640,078,956,963,642,070,766,279,165,160,301,858,214,686,449,580,353,775,878,
928,903,864,558,167,254,742,373,410,167,964,719,373,826,924,438,220,102,422,
915,608,481,837,225,295,099,750,746,919,389,924,490,659,486,441,390,046,212,
166,094,943,528,427,062,715,188,392,460,703,621,004,425,330,141,206,984,870,
711,338,724,633,921,506,102,267,723,671,159,247,608,062,877,256,736,195,788,
846,749,175,593,123,150,568,964,634,271,953,614,991,890,480,681,011,271,336,
825,408,993,792,559,243,676,625,710,477,881,112,398,222,091,512,248,006,657,
113,256,299,283,108,609,276,579,091,763,989,757,265,227,700,349,496,706,203,
463,361,884,955,369,766,355,802,655,616,930,620,532,281,201,309,492,177,042,
717,664,056,116,492,128,955,996,218,577,409,225,474,543,470,430,290,057,982,
796,775,931,429,347,288,849,826,928,435,192,806,475,349,550,521,485,998,303,
445,811,427,471,699,761,512,222,195,952,243,894,500,007,944,639,939,807,769,
158,706,555,081,745,905,344,330,703,531,238,063,457,515,081,509,842,569,185,
915,506,231,964,298,773,736,272,037,043,679,241,996,811,581,112,930,789,873,
221,230,404,472,099,202,985,164,909,130,952,214,078,342,507,022,402,384,106,
900,849,671,776,090,359,171,936,522,809,805,417,048,026,536,173,586,762,260,
890,016,532,020,880,409,800,833,612,378,184,364,090,719,940,504,792,048,130,
403,590,301,659,650,355,145,213,178,781,715,132,101,975,829,641,613,663,154,
203,652,793,743,578,713,382,982,894,773,594,676,126,284,644,562,051,944,782,
207,728,362,875,443,835,206,598,248,702,359,001,519,204,528,678,830,821,757,
970,299,018,233,662,706,300,443,961,659,711,962,192,970,917,052,199,548,305,
894,123,211,679,729,891,106,265,475,534,629,492,064,688,539,695,150,339,742,
471,680,041,747,832,826,138,605,121,124,603,537,789,049,183,971,155,338,063,
347,477,510,711,972,700,396,542,668,529,196,467,136,368,602,356,678,258,214,
791,940,962,841,510,632,118,091,133,394,616,126,267,505,122,247,516,306,842,
872,862,912,991,763,879,910,477,948,990,427,470,464,839,877,619,991,817,374,
695,369,853,086,161,378,341,187,800,900,604,981,993,918,843,419,796,555,037,
241,189,615,714,882,005,647,844,399,761,580,841,812,504,369,174,888,560,939,
193,474,727,712,113,204,146,592,226,202,988,685,643,780,317,971,963,538,782,
813,977,616,276,352,791,245,224,994,280,336,867,795,679,873,355,231,015,771,
133,175,583,120,564,412,432,203,634,779,729,714,270,678,540,577,140,229,188,
483,464,977,894,951,677,219,180,118,141,581,845,894,420,892,163,571,152,033,
754,615,378,406,698,553,651,078,344,662,365,210,157,326,251,800,751,497,016,
962,954,451,526,202,657,171,473,548,245,673,462,644,577,047,792,567,946,503,
268,006,199,004,012,655,964,723,125,302,738,453,080,186,601,237,497,387,343,
450,009,639,470,141,875,546,240,643,784,337,230,036,438,759,925,105,966,865,
813,105,198,527,902,415,316,058,563,471,343,190,947,812,290,514,732,428,669,
027,462,063,146,953,274,797,189,375,335,998,254,647,616,243,766,862,820,784,
482,065,766,414,220,674,435,895,383,875,748,841,468,643,230,096,585,245,380,
479,423,735,809,715,332,135,792,044,070,809,850,638,505,846,142,902,614,284,
239,243,549,586,878,028,600,989,409,383,906,899,096,014,030,741,614,127,134,
528,610,440,853,321,243,495,124,521,666,030,342,950,611,859,796,267,115,865,
922,485,563,732,975,112,324,362,034,550,712,867,039,821,039,355,529,161,922,
719,541,927,201,136,802,755,006,929,828,402,668,151,542,418,349,891,620,452,
683,690,615,292,559,561,098,844,012,047,954,475,795,905,873,639,172,925,804,
663,609,233,452,927,130,308,659,259,592,629,417,355,020,434,133,040,707,091,
393,549,060,383,370,354,026,602,578,979,795,200,921,432,063,599,442,470,772,
344,961,997,205,037,451,194,016,679,981,170,458,817,374,173,624,229,576,107,
221,243,108,449,334,599,422,421,441,195,574,134,637,379,651,426,309,652,079,
770,038,080,993,480,245,247,817,813,218,263,982,207,283,449,091,487,629,702,
465,229,808,100,507,567,411,195,378,290,652,550,465,891,822,687,713,876,589,
408,363,357,903,074,730,452,734,058,676,602,037,083,041,191,951,127,771,823,
559,322,122,205,076,552,370,422,396,209,116,725,224,209,461,316,514,525,796,
460,059,466,759,844,715,799,510,348,408,644,635,769,920,858,563,312,959,686,
228,123,129,789,150,230,146,424,707,992,413,284,994,793,466,869,776,443,596,
552,360,429,096,580,920,775,797,365,414,936,701,388,098,771,675,890,458,820,
449,694,943,318,450,276,766,188,287,388,691,901,837,984,079,680,548,585,345,
555,136,547,179,850,298,772,719,861,763,287,045,150,841,655,786,288,127,759,
090,370,027,201,273,144,191,281,738,665,095,336,475,853,006,023,026,733,764,
208,690,200,351,584,653,042,266,197,348,929,461,395,818,721,943,204,022,754,
856,796,643,137,232,345,841,298,479,816,853,844,222,434,587,717,630,659,197,
990,323,496,644,838,541,922,898,757,131,148,396,533,571,089,438,783,047,467,
266,649,636,950,448,099,403,123,432,816,628,565,536,630,495,541,247,869,008,
581,396,017,218,921,270,649,925,372,842,963,149,734,484,277,577,208,030,810,
361,835,505,089,771,741,192,160,751,829,852,344,850,302,655,995,585,125,692,
305,095,349,870,951,444,428,813,740,183,069,633,654,463,495,958,650,430,753,
762,439,891,821,998,291,846,498,951,955,571,498,071,448,424,436,634,282,394,
105,396,221,447,752,151,443,845,652,000,832,839,539,659,309,190,026,181,734,
528,333,128,543,157,522,981,302,487,029,916,074,650,789,169,148,403,771,924,
477,054,571,358,726,202,072,003,964,194,589,956,531,539,759,484,753,790,581,
926,000,877,545,099,465,939,280,543,759,561,939,993,656,923,629,730,674,241,
395,728,783,156,510,954,759,740,374,515,428,910,735,746,428,108,941,526,529,
397,597,070,178,849,427,301,449,153,902,440,004,889,206,309,604,704,109,227,
259,456,769,360,744,267,301,079,614,493,123,400,175,994,340,035,670,578,340,
307,293,064,528,006,715,321,516,354,878,207,399,606,469,120,401,659,057,872,
145,843,432,541,831,354,527,530,625,112,063,248,551,910,567,561,135,584,338,
413,451,705,275,915,844,320,250,749,386,249,493,036,165,855,162,577,297,570,
083,900,845,126,055,402,803,595,968,418,807,393,549,624,914,081,587,694,810,
976,537,738,321,345,282,708,522,806,577,946,115,590,316,201,825,548,523,026,
707,452,286,509,659,315,476,592,441,289,395,910,605,120,100,832,601,301,137,
128,209,753,827,668,664,803,699,329,902,233,049,667,211,860,917,590,599,227,
559,621,276,224,207,426,725,332,572,333,808,809,617,614,777,186,589,264,002,
846,427,014,106,089,785,274,654,884,603,153,254,665,774,770,898,063,106,472,
912,482,395,259,938,743,260,463,132,754,033,308,355,152,557,307,786,687,313,
357,411,849,704,781,207,340,435,630,706,630,734,983,091,195,288,565,841,601,
127,323,415,778,172,790,029,166,109,664,331,553,425,224,428,022,768,807,596,
519,718,453,855,863,225,186,269,182,572,881,399,302,594,904,499,846,564,326,
089,279,677,470,335,253,219,422,955,252,171,438,206,617,913,095,462,324,442,
456,082,046,960,291,050,996,179,171,603,149,042,549,219,040,113,152,199,028,
637,623,000,570,328,261,120,180,260,232,843,957,555,494,935,051,033,429,281,
262,952,889,301,540,407,073,135,568,011,172,348,900,668,663,075,101,257,797,
783,183,750,293,995,706,981,329,427,508,866,601,913,470,985,546,011,035,190,
193,363,665,655,310,193,754,532,663,014,527,183,995,674,365,318,836,190,449,
217,263,174,500,057,600,030,800,430,370,922,121,581,361,361,275,749,494,103,
628,864,819,456,243,701,159,701,845,423,751,514,518,682,478,129,017,998,700,
270,651,788,611,548,702,530,810,552,232,725,822,348,773,340,155,402,604,716,
845,005,400,064,952,654,005,734,090,086,184,968,702,738,336,664,200,745,959,
198,795,035,330,735,141,094,679,234,577,065,953,656,928,829,958,921,232,200,
192,335,412,861,622,952,591,218,428,816,342,421,697,658,381,888,174,245,213,
356,465,193,694,454,151,489,295,384,953,245,681,257,818,310,854,313,942,121,
399,940,027,976,214,995,346,411,187,641,166,053,013,865,706,138,188,078,869,
133,155,485,303,640,205,728,272,520,082,764,498,156,573,949,860,457,941,005,
494,565,978,158,083,882,036,127,017,213,032,189,735,280,134,381,546,091,806,
806,457,518,606,041,129,457,154,504,453,539,186,293,666,313,525,072,283,295,
516,921,683,681,425,097,904,105,447,707,717,871,095,505,672,201,358,260,689,
147,881,687,548,540,176,993,289,731,676,308,663,929,183,311,731,463,208,006,
578,004,754,360,385,318,796,866,533,446,122,898,677,377,500,211,723,007,326,
081,161,152,746,684,720,138,813,310,398,584,627,486,125,529,179,404,296,393,
482,768,265,359,689,420,624,053,187,666,058,436,984,638,185,354,986,402,683,
321,012,806,770,275,800,107,028,072,965,330,821,157,780,026,334,785,516,812,
723,861,804,832,673,055,759,547,034,983,852,335,434,179,851,949,463,863,561,
610,717,557,689,626,366,016,441,432,061,575,524,410,699,052,287,445,829,326,
761,978,763,395,821,112,152,079,179,210,843,624,978,142,378,561,850,286,942,
220,739,133,221,730,295,742,761,854,153,419,677,996,238,657,798,323,544,412,
963,421,067,679,465,905,786,579,753,942,026,827,403,768,615,032,274,961,755,
326,874,446,646,009,441,853,470,527,252,750,725,267,022,033,175,534,418,790,
856,680,854,785,720,541,358,730,811,530,379,940,306,645,196,516,907,183,380,
891,407,972,771,734,554,263,580,335,274,203,223,107,716,314,067,271,991,897,
735,155,135,313,084,899,028,970,693,714,289,750,689,093,645,117,685,971,778,
426,538,871,396,551,117,606,144,973,420,606,805,442,937,357,758,075,341,147,
489,377,485,581,347,253,731,577,367,182,260,325,625,351,609,347,173,839,264,
273,783,423,466,820,181,335,581,207,157,688,135,854,444,532,927,942,027,907,
153,627,082,234,186,188,317,338,850,016,591,505,741,676,066,822,475,584,625,
939,186,871,062,472,763,345,664,503,518,090,754,006,558,011,857,644,790,577,
662,955,201,859,518,493,579,595,098,710,827,111,488,311,835,673,341,611,129,
138,152,672,164,030,669,540,467,926,986,103,346,200,819,524,607,323,504,732,
190,113,999,952,779,467,460,140,675,029,740,333,933,184,702,067,367,393,733,
880,062,284,095,558,839,191,536,117,706,879,053,628,346,234,878,381,756,994,
886,343,222,158,719,315,626,032,588,418,634,076,627,774,328,865,859,800,700,
776,486,015,145,665,120,887,510,738,278,753,309,465,057,467,304,610,638,919,
536,752,989,549,678,051,543,553,932,148,760,377,297,781,925,539,607,457,451,
759,760,561,990,747,254,013,861,634,447,919,355,867,782,260,665,489,895,058,
099,486,186,723,583,334,254,558,783,017,323,148,505,234,877,377,558,129,641,
976,755,019,253,390,552,287,272,666,186,220,917,314,250,629,920,778,314,646,
971,673,784,399,357,250,453,046,455,519,571,858,739,320,974,976,334,074,772,
263,384,469,781,940,788,531,673,976,333,694,632,198,559,230,675,681,697,310,
446,299,210,842,609,694,303,227,013,657,492,614,840,160,050,307,601,090,636,
416,172,109,062,735,212,538,575,426,751,956,283,703,683,237,736,712,297,998,
213,016,945,418,837,999,190,505,636,712,214,525,657,522,924,088,633,124,907,
584,766,819,553,055,276,170,016,245,649,474,270,626,540,775,328,034,573,447,
598,887,460,802,025,007,104,675,737,424,871,642,415,926,114,788,641,901,721,
865,420,086,563,248,771,264,712,697,097,216,752,810,784,218,495,202,956,592,
651,936,263,825,253,831,537,980,493,880,977,671,575,808,983,759,822,295,249,
223,931,761,132,966,485,310,916,134,186,216,722,798,705,186,126,855,281,561,
571,852,435,298,689,097,035,824,317,643,838,154,404,033,205,890,582,986,520,
996,647,947,998,520,743,146,550,445,902,972,205,457,319,801,879,655,251,904,
230,904,808,456,077,686,967,947,441,446,704,388,462,968,906,770,901,139,380,
941,470,526,237,100,013,567,363,832,520,143,677,546,421,183,004,018,002,908,
902,217,823,257,800,668,242,820,927,096,594,702,088,069,820,131,765,808,107,
425,392,057,741,924,203,575,989,292,517,117,818,937,504,210,875,585,521,667,
909,727,697,317,965,287,162,426,817,066,117,109,379,823,889,275,839,062,202,
357,033,098,091,731,172,618,278,897,949,939,343,932,211,989,630,300,677,529,
919,162,867,948,676,749,885,122,215,343,179,413,894,446,299,993,250,715,939,
277,260,002,819,562,278,136,214,638,900,939,844,243,278,058,182,252,381,177,
099,894,644,255,011,752,501,760,687,428,235,580,716,656,183,022,998,715,007,
895,995,558,926,395,686,110,800,626,448,146,865,101,579,142,747,390,392,920,
062,291,943,033,150,728,836,683,155,721,970,022,756,204,217,862,352,795,919,
880,277,769,833,479,114,127,860,546,242,636,391,429,438,349,654,458,396,758,
876,604,914,270,084,469,167,791,357,816,759,604,161,477,781,602,289,933,110,
683,604,290,814,154,610,043,559,257,736,596,488,560,730,178,967,770,705,381,
504,096,768,917,793,683,762,811,327,753,044,409,065,276,412,651,285,152,923,
802,853,522,093,912,779,766,813,893,117,986,298,811,244,731,093,794,171,647,
625,954,067,489,481,254,764,113,684,692,931,697,880,824,078,130,709,645,054,
362,456,136,868,843,484,615,097,501,888,038,793,733,430,418,738,656,454,989,
849,365,418,343,231,864,715,112,085,353,587,669,651,644,572,763,889,025,743,
260,896,334,344,058,528,947,496,425,057,227,803,580,044,628,124,876,989,059,
087,844,088,761,569,841,932,014,384,316,149,765,472,161,944,788,959,902,648,
547,807,749,953,891,445,905,327,750,587,286,600,332,848,101,506,576,635,343,
350,448,641,566,572,205,162,833,833,058,149,038,325,680,122,905,941,606,412,
224,968,399,053,594,011,006,665,142,053,304,472,230,802,463,703,966,743,345,
373,957,547,861,301,395,157,003,991,057,561,527,339,403,894,350,958,825,866,
091,063,842,672,671,163,062,043,163,722,802,797,185,062,875,121,021,056,224,
052,471,238,450,834,891,422,328,134,581,021,414,910,542,912,275,520,673,214,
935,055,955,584,215,822,656,873,216,706,635,087,514,263,463,251,316,740,347,
666,160,485,673,444,315,373,539,299,866,424,260,800,665,876,010,633,302,678,
638,049,526,111,143,239,086,747,952,821,776,307,831,244,946,476,965,682,810,
732,768,706,768,593,027,972,861,365,441,706,207,639,624,088,411,506,461,143,
441,714,781,961,040,119,421,036,712,347,511,769,476,637,169,830,474,378,962,
086,525,549,255,098,765,937,662,213,054,325,125,845,182,834,875,258,921,065,
694,913,746,716,216,392,988,725,902,099,699,495,537,567,595,161,621,582,241,
759,488,393,600,686,106,283,386,145,127,841,453,468,354,337,004,022,321,800,
865,755,508,494,245,015,109,983,518,946,872,679,396,397,196,785,541,911,495,
234,818,746,338,815,047,415,879,590,225,693,970,492,946,016,624,655,564,456,
121,496,222,341,286,001,956,830,303,700,509,998,763,000,359,945,335,966,590,
060,864,539,094,457,455,382,026,384,708,034,041,524,470,521,191,826,253,838,
755,025,017,184,360,922,191,947,835,163,383,335,182,254,613,198,415,152,417,
525,444,233,957,794,996,069,112,036,734,643,266,567,899,314,392,633,693,066,
956,686,814,608,898,632,385,125,165,050,566,425,051,700,193,770,989,067,062,
094,119,908,690,960,178,152,769,369,655,390,219,309,475,428,485,628,671,762,
106,693,681,693,714,504,085,050,861,431,582,045,121,138,146,607,223,628,655,
293,799,636,537,455,122,716,760,386,859,787,202,609,413,143,061,887,543,793,
124,590,940,564,921,751,362,384,337,550,661,200,523,791,214,332,843,720,376,
838,719,849,775,481,324,607,723,406,975,065,375,972,480,870,183,790,967,916,
683,974,041,629,852,096,076,939,737,628,740,645,314,798,075,365,907,464,990,
325,741,205,220,021,691,611,217,445,012,000,738,477,416,607,790,507,752,551,
562,008,520,695,109,124,160,240,204,054,527,888,060,308,251,730,851,804,694,
870,774,281,375,211,757,565,240,733,973,773,829,908,818,393,683,962,214,728,
380,681,960,471,518,933,026,662,990,939,675,629,926,630,696,048,398,003,367,
668,406,486,821,201,043,389,856,708,333,374,909,655,796,862,309,912,272,452,
817,186,837,296,055,665,700,161,702,707,267,004,042,679,178,126,748,460,338,
791,893,860,957,781,210,239,486,986,771,614,053,030,752,453,269,349,299,433,
499,327,118,476,714,215,890,642,498,740,237,036,174,012,850,810,271,752,464,
105,526,516,713,051,871,350,859,231,266,948,484,236,678,981,171,522,330,069,
263,919,007,860,561,565,804,261,211,970,400,295,485,544,551,044,138,161,821,
892,149,812,594,833,894,176,975,794,831,654,651,599,076,368,930,378,388,565,
058,415,890,227,876,305,771,375,634,429,340,517,044,059,237,794,996,416,958,
515,004,396,767,931,601,510,815,388,045,530,534,001,864,410,538,726,099,582,
622,831,814,221,010,284,025,851,925,338,647,874,127,188,800,214,871,628,626,
606,050,152,765,024,728,371,375,035,009,190,731,045,766,331,605,154,520,881,
258,445,217,410,274,505,721,946,947,543,455,760,992,130,343,764,374,068,457,
003,117,386,712,832,905,544,200,492,805,685,773,107,079,944,305,143,754,467,
999,184,382,861,932,951,241,583,808,803,990,027,005,458,794,057,979,491,884,
869,087,644,926,439,710,144,456,055,854,012,360,096,461,470,887,363,164,049,
314,472,978,619,521,883,613,988,700,473,936,879,180,988,293,584,244,410,456,
295,709,825,279,012,939,241,554,310,298,806,002,142,379,748,437,849,849,722,
923,814,364,587,662,420,739,429,985,394,637,221,256,866,430,595,395,197,104,
854,869,409,358,920,084,742,470,499,783,964,257,079,895,600,447,212,947,559,
033,720,273,597,000,690,617,173,099,809,398,504,796,624,100,869,156,627,244,
620,727,122,779,560,106,347,698,420,270,220,152,935,827,372,889,299,661,971,
534,126,155,169,979,010,128,854,233,333,019,446,816,768,470,622,763,254,562,
161,098,237,770,691,469,826,405,649,698,691,213,383,936,315,645,179,328,958,
146,851,913,437,426,070,039,493,239,226,107,764,058,824,135,540,670,154,229,
518,555,266,429,702,777,100,712,932,712,379,064,918,730,327,636,392,136,036,
713,276,239,360,358,742,008,476,658,171,423,555,544,739,825,102,606,579,842,
366,587,552,750,513,070,912,564,290,538,607,335,033,158,854,505,439,690,832,
749,005,294,615,993,666,594,156,948,417,785,350,039,902,399,325,222,790,546,
514,360,493,744,893,040,149,377,592,732,531,826,445,450,533,385,999,082,279,
149,994,083,923,491,535,406,728,555,742,849,486,523,563,436,986,649,542,918,
448,237,551,607,240,730,285,316,274,371,220,846,198,895,399,294,289,639,640,
588,254,658,310,990,701,824,560,949,040,166,569,203,130,624,480,981,118,290,
215,750,899,726,296,880,025,115,317,240,485,019,070,154,946,926,513,336,691,
836,503,186,918,727,090,700,431,265,765,069,633,320,592,617,657,345,651,639,
833,122,131,623,803,619,336,515,818,270,063,206,032,017,386,589,064,182,772,
973,855,427,040,329,527,127,147,094,251,180,871,952,915,037,266,844,862,234,
460,689,698,241,314,563,170,968,455,072,040,083,981,033,622,522,571,060,357,
211,588,263,743,318,706,484,179,868,951,041,267,421,163,735,513,864,067,113,
723,132,304,318,013,020,159,174,728,559,554,850,388,338,335,477,247,767,901,
740,233,459,896,019,423,550,675,399,728,015,287,794,298,379,661,703,495,425,
095,997,869,918,454,752,749,265,544,481,137,608,882,533,891,997,756,325,148,
183,527,352,551,706,354,682,993,530,013,854,406,908,404,213,477,418,806,793,
746,443,881,732,526,221,246,883,846,206,678,561,634,839,937,346,728,225,153,
689,759,122,983,906,976,838,155,398,361,827,753,206,698,547,440,576,739,433,
294,235,458,229,053,937,443,357,913,853,225,537,918,104,372,989,410,109,515,
550,590,247,810,085,855,904,923,733,354,540,302,755,703,952,268,823,140,521,
047,806,992,584,523,571,571,088,364,284,506,162,716,089,736,634,135,576,155,
127,484,711,813,415,502,465,124,935,635,240,768,985,893,208,191,980,846,091,
287,279,160,523,615,584,983,638,458,077,544,726,582,797,434,292,381,764,347,
486,294,630,149,664,254,566,650,183,751,913,199,416,253,163,625,599,708,603,
166,751,857,411,844,940,844,506,874,717,632,153,894,913,574,799,073,934,130,
794,457,488,817,383,619,454,033,778,129,369,432,045,674,787,123,818,741,674,
498,250,312,437,889,579,541,770,209,021,092,030,846,078,116,238,488,391,499,
735,237,970,592,463,664,940,948,383,652,931,516,624,686,292,915,592,571,749,
557,949,188,378,592,843,653,574,934,219,285,158,241,466,674,098,901,688,780,
066,581,879,505,810,325,404,547,828,239,845,907,575,743,317,953,240,740,660,
091,695,284,068,826,699,292,729,877,341,607,691,985,067,478,353,155,783,276,
141,929,110,240,142,133,859,069,043,083,643,483,790,033,044,299,124,547,228,
242,894,129,516,642,944,343,521,727,919,654,041,311,511,521,124,164,380,435,
424,107,280,776,702,736,337,714,798,590,522,587,625,209,253,993,730,071,466,
521,025,335,555,088,853,790,312,535,609,235,993,003,383,516,925,510,043,471,
369,999,916,760,372,471,540,395,357,346,954,703,134,650,873,010,062,364,591,
203,559,413,626,743,476,053,325,409,313,305,600,289,978,687,784,620,628,308,
858,264,136,261,522,744,789,707,991,773,575,474,310,989,360,356,706,251,635,
806,787,519,078,535,556,645,381,992,068,485,582,104,936,763,612,525,169,438,
376,347,195,461,644,698,539,373,493,472,322,602,721,676,324,780,467,126,018,
060,454,394,535,662,210,572,471,683,948,109,987,261,450,500,655,528,896,908,
100,122,195,898,455,920,693,969,714,878,443,590,636,719,394,580,994,262,571,
343,728,804,189,304,697,982,984,395,979,067,368,507,124,694,420,078,525,614,
446,313,865,347,648,551,345,132,508,533,558,756,926,015,181,998,152,369,149,
839,401,790,541,154,313,118,203,116,255,195,880,231,092,725,749,258,843,213,
111,841,662,475,546,656,434,688,743,055,479,912,487,589,802,564,002,764,603,
578,281,369,066,284,307,381,814,750,723,450,486,143,977,073,595,809,250,199,
045,755,624,420,582,035,497,831,458,689,754,746,583,540,967,787,089,837,245,
156,011,352,104,467,336,465,816,056,397,487,564,168,662,966,347,806,673,019,
560,334,544,935,453,541,036,790,695,476,923,484,762,157,053,173,245,603,942,
199,115,080,437,101,101,538,708,824,576,417,407,821,478,100,083,224,745,966,
752,640,423,392,025,786,927,579,870,239,577,488,522,337,161,746,906,542,912,
519,394,079,994,449,807,447,733,116,879,262,595,750,903,111,720,193,610,334,
358,017,925,456,802,619,467,494,254,657,618,799,277,140,994,816,160,040,324,
645,946,175,566,153,523,570,727,757,236,043,270,056,822,160,758,342,940,786,
968,107,090,654,829,803,570,103,126,179,724,295,141,306,076,674,686,946,121,
774,916,754,645,586,067,714,232,196,692,912,202,879,724,912,142,312,250,621,
388,892,511,696,944,611,266,281,649,630,783,834,293,607,471,210,215,970,447,
616,388,562,868,886,538,236,198,815,910,107,318,777,683,829,495,297,810,585,
378,912,864,292,590,258,831,364,486,202,320,130,946,101,412,494,511,710,244,
432,609,431,314,674,730,116,761,203,527,974,832,084,051,467,523,839,484,401,
154,437,448,278,869,720,810,539,500,607,698,882,803,619,663,962,683,416,954,
429,315,064,400,361,580,301,983,131,147,762,528,209,446,251,511,578,163,806,
672,434,969,740,248,178,125,959,197,581,612,634,298,566,577,367,443,338,049,
727,585,302,264,078,334,605,247,336,147,018,136,214,504,379,005,637,111,439,
290,678,669,729,952,448,932,642,111,469,328,419,831,405,551,331,942,575,586,
818,356,933,014,294,024,011,120,282,425,380,916,267,847,098,805,476,787,612,
470,756,647,742,834,510,946,741,589,443,040,173,880,316,066,356,650,762,793,
910,950,422,047,598,174,793,600,931,562,894,434,831,858,597,556,996,876,812,
009,264,911,419,497,629,445,350,513,466,758,978,161,418,550,388,848,538,473,
417,684,836,199,212,975,867,549,216,837,922,653,783,910,714,632,557,692,768,
035,915,122,376,164,969,773,249,187,600,108,800,333,870,732,531,712,547,044,
735,390,357,641,295,801,324,714,440,491,642,189,659,910,377,284,666,243,642,
849,685,347,753,987,909,726,791,407,798,260,046,036,039,410,271,216,799,780,
666,374,324,281,224,572,377,559,090,465,525,933,435,614,103,828,399,709,733,
525,287,121,625,358,802,838,254,883,819,628,583,843,032,788,575,425,203,814,
487,466,753,568,437,807,048,749,147,861,466,279,571,855,144,555,876,390,718,
100,718,063,473,262,273,034,483,220,795,328,865,165,700,193,442,372,066,201,
802,146,901,029,719,841,277,653,987,709,055,786,602,681,733,765,789,705,987,
462,159,259,048,968,033,266,345,085,824,100,508,655,264,559,042,047,048,920,
639,441,652,035,961,884,692,407,862,995,678,727,564,615,606,229,202,406,202,
763,045,909,504,991,280,747,167,395,281,323,562,284,375,749,893,357,243,325,
249,996,376,919,326,252,197,342,221,211,160,418,547,137,368,994,336,612,174,
655,156,183,902,202,344,229,114,260,519,271,519,723,322,668,173,395,761,210,
213,246,169,562,460,945,756,518,699,641,787,102,689,614,203,002,850,630,607,
666,410,573,370,867,331,078,335,865,997,513,057,837,507,986,953,605,693,058,
784,603,594,167,698,639,565,410,999,706,070,616,408,735,815,723,016,236,533,
451,827,672,163,027,403,206,179,276,044,483,038,988,537,214,651,134,586,440,
215,303,888,311,342,279,440,464,353,783,299,485,013,819,503,588,723,907,208,
619,545,790,089,958,708,892,280,193,227,383,082,959,751,871,244,343,425,386,
532,785,675,702,396,306,463,238,857,521,819,225,986,934,375,114,614,997,413,
166,823,703,275,682,285,378,329,504,348,407,092,709,750,044,163,339,285,595,
842,282,632,197,880,575,771,294,423,476,901,897,262,959,851,528,556,372,052,
876,595,004,231,571,544,927,564,423,064,767,172,076,424,438,028,040,247,664,
060,411,636,466,144,820,815,784,318,653,634,331,899,250,055,707,265,393,070,
931,400,870,650,201,061,934,073,536,179,311,113,392,028,753,934,140,541,390,
239,227,471,392,986,214,848,351,116,531,846,128,163,479,655,713,541,192,855,
222,227,814,242,373,791,852,436,460,005,712,638,409,431,392,689,633,356,458,
408,530,547,042,757,315,318,142,138,159,340,032,346,738,878,497,056,504,213,
140,984,943,782,604,938,220,428,570,610,796,969,868,929,626,034,298,125,436,
209,971,802,261,365,130,655,401,769,569,758,209,869,133,543,451,348,515,886,
661,959,273,944,427,005,578,501,161,170,932,558,273,015,107,115,039,863,396,
274,201,288,384,816,662,674,792,474,313,641,798,254,478,389,371,129,108,543,
712,031,350,485,145,367,668,680,202,597,539,223,571,257,282,197,255,447,924,
897,488,721,976,487,863,959,612,296,943,947,015,285,693,127,238,879,027,388,
959,351,014,264,581,228,758,818,646,860,231,063,625,863,529,326,917,356,194,
647,738,583,767,315,789,910,648,296,420,229,799,644,265,923,866,920,865,233,
211,510,062,315,681,353,352,182,053,950,078,793,283,088,664,356,688,033,840,
995,054,652,863,050,216,470,152,640,559,984,282,015,402,116,915,887,369,074,
698,803,218,385,812,533,683,071,073,914,355,933,296,214,680,760,853,377,353,
841,582,956,575,597,853,098,978,020,300,311,554,610,199,840,460,579,078,811,
050,002,320,342,806,452,239,454,966,991,612,488,375,473,730,318,887,161,814,
372,777,165,988,816,236,940,776,555,977,963,887,094,803,407,975,076,329,757,
525,563,283,369,788,399,678,872,209,693,066,211,803,516,406,352,376,868,473,
823,947,807,102,517,298,691,427,378,767,445,341,777,512,864,165,307,978,033,
579,164,266,836,479,745,706,261,354,380,245,252,748,901,244,424,713,111,697,
152,163,276,175,798,364,151,440,418,968,287,738,147,985,570,152,579,156,507,
439,995,196,841,898,325,186,966,543,826,267,445,974,533,621,754,980,893,953,
307,072,097,221,165,528,480,284,366,723,917,725,306,771,071,814,397,438,309,
262,084,970,699,558,179,009,369,505,390,747,218,127,232,936,469,906,476,751,
694,242,718,089,685,945,004,826,816,041,850,040,804,640,047,821,391,016,005,
611,256,762,131,705,932,608,434,825,584,650,367,094,039,276,007,249,929,947,
585,727,721,966,328,649,500,276,045,006,579,489,548,216,737,683,935,531,336,
648,426,403,032,371,713,468,201,634,231,618,736,057,305,130,107,767,061,755,
658,096,660,483,114,027,771,085,243,858,304,206,290,279,044,352,169,900,878,
248,835,708,104,261,526,118,494,286,622,794,197,670,006,053,443,456,302,016,
986,036,043,658,274,633,626,693,494,722,487,143,447,025,515,325,241,475,461,
963,405,059,164,600,631,924,964,823,244,301,436,676,545,860,289,633,060,546,
956,922,065,040,866,501,745,320,629,074,729,985,572,148,834,410,141,740,010,
051,779,466,535,664,358,652,168,972,330,391,922,459,541,198,673,186,679,728,
997,552,681,069,572,847,048,794,547,212,123,190,485,495,717,115,835,761,461,
876,808,059,764,632,968,693,665,784,894,536,488,170,591,736,261,845,469,669,
423,095,835,589,967,922,744,020,746,332,189,115,756,699,900,118,017,891,790,
140,194,537,859,617,585,526,106,411,003,514,578,399,787,192,429,541,972,966,
354,428,749,847,494,323,641,547,312,004,859,710,996,367,826,934,840,084,681,
221,063,345,084,412,889,115,927,314,451,938,311,840,496,585,309,286,443,419,
924,732,358,261,328,686,065,586,698,526,691,973,238,724,661,389,405,519,914,
574,878,015,994,764,306,569,926,189,861,003,951,311,468,134,006,071,548,647,
559,566,254,379,894,907,019,980,430,180,838,761,269,996,404,073,118,366,097,
325,218,551,813,714,912,242,627,804,070,672,037,796,346,537,575,161,231,979,
960,627,648,163,766,144,986,201,574,920,767,112,989,025,587,994,949,583,341,
621,128,687,469,115,466,216,494,056,948,742,777,806,835,845,902,331,984,450,
691,117,007,731,710,604,353,191,491,061,499,318,831,426,436,521,280,433,807,
426,045,750,497,293,487,707,728,930,781,122,715,201,852,732,236,707,585,196,
377,398,475,320,322,542,558,847,831,088,828,004,442,618,661,902,789,628,607,
453,768,234,847,426,647,045,302,466,031,277,990,598,151,743,253,324,421,804,
790,798,571,381,814,384,228,573,995,518,078,820,052,870,880,259,844,965,239,
512,811,843,225,148,407,494,947,414,137,778,790,858,308,947,275,364,173,533,
009,109,014,351,204,963,199,305,372,465,298,521,966,492,375,032,269,890,702,
455,884,541,718,088,278,584,010,652,236,712,906,058,946,377,498,953,900,902,
212,936,993,551,545,017,762,970,809,108,981,294,097,357,562,352,484,909,267,
917,076,951,200,120,527,935,121,654,746,902,506,568,445,922,226,844,224,613,
262,302,890,624,070,625,675,694,744,088,268,818,799,567,172,573,913,689,214,
803,758,267,085,533,662,553,028,465,156,785,827,402,747,628,288,945,772,382,
799,714,835,267,315,467,099,231,077,952,483,525,355,570,396,769,031,362,758,
423,986,547,123,420,264,454,606,053,626,599,841,309,839,768,876,345,991,319,
630,112,651,618,760,809,720,969,310,732,487,225,476,110,020,960,944,083,749,
915,391,765,513,849,977,566,090,504,746,029,942,830,871,619,712,057,597,648,
674,669,256,708,937,561,973,772,045,180,180,333,175,088,988,247,045,331,098,
719,822,520,577,680,775,135,873,226,047,532,711,063,060,513,591,991,981,362,
112,851,406,048,734,050,474,124,000,009,240,409,516,118,800,663,561,778,488,
967,917,824,266,205,522,343,526,065,497,783,325,419,190,551,230,491,897,763,
845,285,344,165,714,316,967,521,994,346,483,945,218,123,882,496,712,880,093,
485,570,743,848,905,319,664,921,968,257,180,689,424,084,442,819,126,548,101,
273,741,576,914,894,850,239,775,011,712,063,171,784,103,449,560,119,415,494,
039,272,240,205,637,151,976,334,716,664,811,472,373,375,555,003,210,243,722,
646,328,995,132,880,271,411,311,467,724,821,662,901,590,053,896,621,113,079,
233,267,440,930,054,187,404,634,906,244,845,250,568,212,240,365,888,075,682,
367,291,213,285,709,567,974,370,981,570,053,045,808,892,784,169,329,307,187,
611,076,193,852,581,143,772,419,848,494,995,796,782,914,848,406,775,965,410,
498,173,076,804,330,895,811,981,535,842,894,279,107,049,344,067,071,054,236,
889,475,982,758,695,812,216,974,831,893,535,657,442,356,278,181,957,016,048,
492,144,863,439,765,751,570,481,173,345,735,338,005,519,914,671,055,265,967,
029,484,493,164,135,568,624,699,406,324,064,108,008,137,582,237,790,495,602,
588,920,081,228,635,899,990,455,263,140,598,087,020,026,648,772,185,675,965,
746,130,499,658,857,094,332,387,568,252,723,551,115,556,889,694,316,444,366,
370,409,704,410,143,264,563,116,292,524,059,562,839,697,816,061,679,326,373,
413,356,131,290,552,596,589,168,770,499,777,636,872,914,061,524,877,245,947,
964,835,773,111,966,881,448,855,198,309,156,474,687,216,900,138,338,624,173,
968,953,149,928,553,238,079,975,926,211,070,077,772,547,751,772,766,648,902,
066,217,802,669,699,143,079,138,541,294,796,165,846,822,196,814,726,096,390,
710,491,071,164,310,628,172,326,545,293,766,245,901,126,502,312,024,831,934,
027,915,730,148,292,882,014,766,278,225,941,183,021,139,557,827,595,299,959,
253,738,123,991,918,059,712,369,108,613,443,299,917,152,082,330,110,419,085,
932,990,823,883,195,414,201,757,192,528,298,458,114,612,423,683,847,979,611,
116,285,478,681,244,836,867,704,981,837,657,148,943,463,881,225,797,915,212,
457,275,285,850,803,070,064,687,417,642,886,967,710,150,491,723,888,853,986,
026,567,230,536,485,013,691,526,487,580,115,339,119,511,976,646,356,299,681,
275,340,876,890,208,661,502,979,180,516,363,494,805,731,312,837,713,343,584,
569,950,099,619,752,605,562,516,207,049,381,460,817,650,126,917,521,631,542,
896,142,366,033,577,175,103,888,743,457,274,524,972,442,496,163,016,863,128,
997,020,749,692,292,925,384,828,070,892,824,827,311,105,323,358,139,191,326,
166,675,057,958,423,316,187,833,061,456,555,369,453,249,449,402,780,248,393,
391,570,758,198,722,294,589,209,692,097,014,389,606,125,894,758,898,671,639,
683,021,288,896,368,239,688,525,123,894,398,056,665,448,598,928,342,143,213,
402,332,580,782,127,361,654,621,259,019,253,655,689,226,079,784,081,154,000,
637,490,597,658,227,444,954,340,802,864,621,496,018,417,714,794,555,506,201,
665,294,815,971,723,898,473,133,706,527,028,624,316,880,823,951,784,383,783,
337,545,276,729,620,782,609,388,948,765,100,684,343,533,531,885,576,322,319,
913,597,467,945,609,955,961,325,042,912,748,049,824,972,380,519,016,670,817,
413,901,152,351,025,535,953,672,705,286,252,892,714,472,379,169,088,834,765,
235,613,208,635,577,440,717,007,748,840,445,577,578,828,244,601,657,705,105,
336,154,255,670,818,610,416,365,219,691,696,883,086,048,515,273,253,786,116,
496,607,602,219,603,596,792,524,202,589,405,281,375,377,849,419,969,953,985,
440,261,325,014,964,494,422,734,660,263,800,132,779,944,863,787,076,265,131,
607,483,593,999,686,518,758,458,571,171,499,846,418,183,849,867,006,818,701,
894,001,814,975,378,748,440,638,375,152,989,581,684,006,842,860,332,414,298,
819,634,874,726,938,546,850,878,718,711,769,299,252,367,503,687,202,859,298,
425,057,350,775,437,725,375,896,149,045,304,556,111,278,335,601,155,556,831,
144,537,506,496,240,259,332,011,959,276,429,959,674,895,905,831,418,103,838,
352,777,113,953,047,753,129,920,685,203,643,030,528,709,946,309,518,356,215,
664,236,390,787,834,094,453,875,146,721,448,966,037,090,828,381,189,960,581,
199,493,540,408,558,571,573,328,496,383,827,419,538,363,523,429,394,468,596,
593,695,728,383,705,550,358,923,598,189,038,720,318,750,534,855,927,355,806,
285,489,304,694,965,355,651,677,201,315,935,988,932,692,170,501,940,858,461,
940,516,661,742,841,452,544,376,016,075,991,924,988,381,054,838,327,747,790,
275,596,616,408,029,584,425,860,465,922,465,734,137,001,344,126,336,235,429,
494,459,035,831,201,656,615,140,097,534,011,728,662,946,600,553,988,831,573,
394,113,908,535,240,394,668,976,248,980,345,163,146,673,417,940,131,635,296,
192,809,302,017,993,364,304,042,492,263,750,384,776,344,083,787,815,571,519,
706,043,260,806,069,775,983,568,486,256,570,635,525,403,280,698,760,628,244,
811,695,450,673,147,225,649,639,715,565,096,591,600,215,123,565,965,505,633,
285,963,312,609,201,112,372,984,059,810,234,875,899,655,494,113,833,628,099,
693,961,442,959,053,141,316,173,269,953,915,342,055,589,925,402,251,716,439,
354,190,713,596,184,747,229,090,942,461,598,682,558,601,191,455,575,235,453,
755,463,836,508,170,608,972,459,874,246,119,533,059,293,233,440,704,493,542,
772,553,563,764,717,993,848,146,780,938,920,783,407,234,017,056,302,627,139,
186,293,931,937,390,569,456,786,503,738,033,167,563,639,708,715,694,177,818,
036,040,866,909,053,936,475,902,107,174,168,532,945,202,965,281,187,685,709,
794,032,028,695,515,191,616,670,266,774,867,347,374,611,435,000,154,661,500,
741,307,937,763,873,498,365,344,260,381,220,344,368,360,024,571,445,933,820,
596,098,028,999,106,252,410,595,030,189,254,992,209,859,522,071,575,314,893,
174,297,120,030,463,329,178,308,805,452,763,757,776,765,130,262,059,434,370,
878,829,265,945,876,220,904,681,535,808,462,777,924,580,764,632,819,831,031,
572,807,585,581,714,465,935,998,240,193,724,966,526,528,552,361,665,101,266,
748,957,522,706,969,920,060,753,229,800,871,026,622,146,221,909,571,247,147,
303,542,604,870,818,263,871,421,685,029,928,730,840,530,443,429,815,340,654,
338,292,823,835,045,048,866,533,217,953,693,633,790,549,341,554,943,891,046,
627,129,162,119,650,511,970,175,866,660,883,441,957,706,312,308,335,911,914,
945,708,980,237,765,442,419,720,843,942,785,157,859,469,231,391,961,925,823,
799,013,384,550,090,137,562,347,049,872,504,007,804,199,523,014,193,629,430,
888,019,651,102,397,394,711,511,478,386,252,004,182,733,774,322,123,182,514,
995,714,061,070,741,731,507,915,258,736,906,642,582,081,665,797,233,789,437,
019,719,669,351,385,897,835,583,631,757,736,190,001,973,238,948,802,042,366,
667,985,920,180,012,224,102,366,426,769,772,453,172,981,979,953,730,989,142,
878,345,068,765,468,182,839,272,012,479,716,425,189,755,819,513,886,535,098,
226,673,029,465,853,525,884,450,418,985,914,822,529,224,422,253,024,138,744,
388,273,368,274,698,139,913,717,716,864,834,865,661,276,465,214,830,157,583,
498,369,895,192,708,375,268,366,982,822,576,763,427,003,056,085,376,251,310,
210,576,380,914,786,941,259,930,445,275,514,077,733,825,753,916,715,765,799,
514,357,387,948,164,856,420,530,934,992,795,709,211,557,155,530,525,303,979,
015,887,623,851,630,970,085,592,272,371,728,108,047,823,548,555,588,642,876,
306,136,756,369,641,484,584,687,125,760,065,819,592,101,422,573,780,397,044,
198,536,688,813,337,556,655,888,490,135,445,746,442,741,936,780,607,187,121,
709,697,274,137,258,523,882,452,008,894,887,469,330,126,501,309,501,877,956,
130,661,673,067,893,744,157,578,543,170,547,230,678,835,082,862,744,325,023,
469,302,768,389,569,563,778,531,578,191,681,284,576,700,434,827,864,744,689,
402,705,102,892,860,090,527,115,524,205,965,147,359,311,427,117,858,183,203,
971,672,828,753,405,487,043,361,081,842,556,090,015,069,864,170,097,590,581,
052,054,616,925,165,243,361,195,640,279,368,900,668,459,522,059,254,099,996,
355,137,013,130,630,380,610,286,255,091,401,398,249,668,960,628,579,275,851,
977,188,502,517,037,676,936,368,394,167,858,675,736,936,355,695,260,281,009,
791,100,403,761,950,181,934,776,315,781,909,690,474,978,611,233,128,074,300,
589,544,953,094,602,259,204,757,838,702,672,078,537,449,983,628,771,109,810,
060,417,007,649,979,394,705,550,536,600,104,381,421,627,265,525,720,109,072,
323,461,588,161,628,089,665,813,558,859,533,811,455,744,304,263,415,726,720,
627,923,117,720,336,474,721,815,154,599,053,217,004,534,105,006,115,545,937,
042,766,765,631,656,955,579,663,005,584,989,623,136,932,755,587,826,754,168,
700,167,032,615,133,286,970,771,150,841,038,992,169,592,002,811,413,398,811,
364,452,282,632,976,751,632,688,506,878,544,429,967,839,017,018,729,589,987,
521,152,461,377,946,983,646,836,683,903,706,614,848,664,867,397,019,902,676,
455,536,582,393,269,734,266,583,151,182,183,897,390,213,876,628,119,787,908,
286,380,326,936,884,930,589,998,275,236,427,437,348,946,598,083,901,851,688,
738,097,932,667,806,805,028,114,736,406,722,915,891,309,923,845,681,671,407,
769,688,490,645,827,515,260,794,128,129,920,261,762,706,669,001,918,811,412,
519,639,281,787,844,581,463,971,526,917,236,557,193,792,999,167,460,932,379,
444,167,932,294,560,373,015,773,128,213,487,204,003,438,696,687,395,301,112,
851,424,086,650,520,878,251,731,796,674,825,546,943,649,021,130,027,771,650,
918,674,449,107,141,876,922,985,694,856,512,228,533,176,794,042,282,573,904,
585,679,256,730,530,468,144,537,253,209,473,222,763,340,673,361,708,203,348,
935,830,788,125,708,980,769,039,477,642,812,447,159,011,757,073,685,669,113,
972,775,916,158,008,404,870,577,674,131,954,231,162,266,733,528,547,727,507,
848,579,897,412,541,649,422,094,880,485,135,408,196,633,761,404,212,921,769,
062,468,447,394,553,139,302,239,059,628,132,547,228,512,510,558,798,786,627,
945,981,321,579,305,171,236,906,788,384,727,399,358,091,781,176,872,079,298,
766,644,167,393,882,369,085,897,594,863,326,127,193,852,835,487,970,428,332,
259,972,476,650,759,147,384,219,210,116,435,676,076,019,717,836,405,853,118,
093,019,049,683,948,474,733,415,139,853,563,080,167,944,343,105,693,198,234,
017,160,863,631,033,305,998,260,264,931,381,091,350,030,410,207,977,912,677,
555,975,208,513,112,030,537,859,497,270,207,865,819,526,286,241,144,007,699,
035,808,660,175,503,705,796,673,931,358,296,696,717,951,635,126,119,483,516,
442,988,297,478,179,867,644,134,107,010,612,806,076,543,799,929,742,265,287,
882,428,294,050,838,760,389,570,080,971,479,169,676,130,908,343,372,603,500,
447,549,009,013,978,437,068,756,629,331,808,217,268,524,257,922,973,599,612,
767,320,825,510,950,718,058,320,587,103,743,860,159,064,121,082,765,356,944,
878,969,420,619,410,275,643,669,999,591,489,861,013,312,163,482,907,624,028,
544,717,444,762,766,119,798,439,829,213,668,528,820,934,149,848,530,423,773,
683,978,635,078,993,849,541,726,466,000,329,858,584,512,375,243,594,864,914,
387,874,401,666,797,915,600,511,258,058,854,025,437,813,464,869,421,800,753,
377,553,328,656,148,597,836,612,463,445,594,784,376,227,223,188,722,724,874,
723,483,164,948,435,127,935,489,938,461,764,785,763,278,069,103,522,513,909,
349,088,122,555,656,579,450,283,873,882,818,722,747,976,643,808,734,912,095,
216,374,391,594,825,391,201,781,636,464,911,387,352,156,641,985,598,579,886,
590,826,082,278,632,589,698,181,085,171,246,486,149,080,190,363,347,689,958,
745,834,145,109,358,943,679,393,686,008,653,268,591,487,420,532,217,205,637,
904,013,883,975,292,714,515,394,046,624,480,105,129,493,027,296,079,034,735,
081,830,153,694,840,738,611,948,556,713,078,714,611,682,586,548,066,211,289,
915,165,583,450,153,234,346,892,429,230,623,434,221,531,533,433,441,762,073,
545,675,615,276,367,797,046,383,400,128,007,400,487,777,744,588,087,486,151,
261,882,221,113,337,637,966,792,604,752,535,120,022,443,496,763,606,149,413,
079,694,726,089,785,976,631,872,627,735,712,390,292,881,665,637,755,699,348,
887,980,453,588,110,543,004,112,835,452,612,593,114,004,256,696,197,503,759,
408,486,350,898,280,079,527,265,729,757,003,606,283,107,811,769,014,858,028,
976,427,648,726,743,691,887,953,717,466,729,107,510,384,461,632,368,885,298,
359,768,677,890,485,535,963,367,045,810,104,655,579,514,206,230,615,971,531,
056,402,166,200,199,427,994,018,500,074,672,383,536,282,776,035,710,246,957,
534,524,106,673,873,230,552,785,641,887,746,794,949,157,615,930,380,827,959,
588,420,861,747,508,365,025,189,365,694,044,113,522,238,595,628,890,611,617,
669,874,604,636,938,133,059,135,762,032,186,922,239,855,920,362,630,184,317,
360,463,865,093,301,503,687,695,876,522,579,190,669,291,401,838,652,673,784,
518,474,220,164,625,722,552,129,541,467,725,461,688,074,704,323,603,926,572,
213,841,608,317,848,001,980,687,919,034,247,761,692,384,821,994,796,372,961,
566,251,463,675,227,913,804,913,077,726,598,812,090,538,150,612,828,430,085,
765,424,782,091,493,647,877,256,026,233,302,372,350,042,742,494,412,319,849,
148,932,385,187,365,423,344,641,788,875,948,945,420,355,291,458,248,266,277,
392,538,530,326,432,628,599,488,569,981,082,476,008,447,875,056,392,054,757,
585,952,737,457,877,898,429,214,481,193,307,839,978,442,455,987,158,392,518,
361,521,876,498,397,950,707,250,752,125,171,108,032,475,900,008,409,369,293,
995,292,774,058,975,440,265,381,830,772,329,016,471,926,347,139,961,798,184,
022,774,234,383,939,645,850,084,926,648,142,633,178,272,483,414,284,936,546,
250,580,143,107,380,081,990,988,379,817,246,174,485,790,299,095,248,411,504,
735,298,577,442,003,033,040,239,507,575,676,691,611,779,936,185,666,010,640,
597,362,393,576,892,854,882,211,073,610,983,160,641,209,540,849,894,787,806,
790,187,763,636,200,429,640,245,656,459,505,942,023,292,975,988,835,033,623,
565,798,874,057,713,148,819,265,972,580,403,985,578,799,888,830,037,671,648,
262,751,901,372,102,939,361,947,393,295,833,089,341,672,434,413,196,107,484,
517,333,989,050,016,881,002,866,984,082,410,585,860,003,791,110,729,595,864,
410,471,830,219,748,361,437,744,311,603,488,690,845,250,020,993,132,339,954,
581,400,588,013,939,884,853,688,726,713,010,472,512,103,015,444,738,649,815,
030,289,588,688,765,544,932,394,276,756,130,477,322,707,283,032,224,476,750,
588,901,327,041,972,479,287,515,738,822,901,956,180,639,297,412,941,171,514,
758,997,443,490,281,419,599,448,448,041,929,290,284,876,007,934,416,774,516,
121,945,744,241,214,297,121,919,139,660,526,528,514,826,015,616,384,685,785,
455,249,452,134,071,199,708,982,703,859,067,222,624,541,108,395,410,842,669,
470,319,481,737,595,966,671,364,591,258,219,778,658,165,549,685,006,283,930,
265,676,060,743,702,698,210,747,265,394,851,845,158,192,342,419,678,326,669,
585,077,167,948,879,074,105,357,116,268,348,331,540,686,456,832,054,899,713,
191,511,850,382,380,408,819,653,188,209,486,254,312,993,943,999,853,377,502,
904,977,626,037,013,832,208,679,645,381,835,191,194,590,624,120,166,180,114,
943,401,262,827,761,683,320,713,945,240,549,725,956,297,886,712,298,742,191,
280,214,095,815,657,274,222,586,465,725,519,438,077,787,597,006,916,626,950,
869,375,011,220,145,368,791,925,646,041,568,100,722,962,514,512,961,698,568,
258,366,285,631,989,213,828,559,136,297,198,305,887,789,594,345,312,778,228,
581,525,296,556,285,740,636,748,899,373,052,611,570,678,077,399,081,577,418,
228,513,154,221,330,294,264,613,031,424,485,365,392,930,701,816,405,250,107,
520,732,419,815,725,102,076,059,010,165,306,367,103,837,609,436,471,021,849,
424,139,288,465,542,404,847,172,520,334,809,101,205,871,240,784,392,026,131,
494,219,658,110,978,986,057,093,751,057,624,184,955,745,303,229,452,912,140,
187,918,105,731,069,851,588,135,313,355,295,124,874,912,789,749,898,493,063,
590,167,414,410,965,102,787,827,109,480,916,617,854,354,360,729,459,162,345,
094,318,852,695,667,938,336,358,848,576,485,225,288,135,970,437,426,965,789,
805,998,170,184,956,783,725,777,586,676,253,740,943,785,364,562,478,104,320,
170,755,087,200,042,520,875,115,080,277,262,857,864,313,017,663,828,303,474,
761,666,694,957,164,246,307,550,012,259,848,605,574,102,248,224,481,622,711,
345,059,798,691,082,220,926,716,594,754,176,009,894,372,817,001,098,102,383,
884,798,931,922,510,684,172,963,248,102,231,131,192,875,915,151,249,729,486,
887,912,385,186,037,389,031,429,167,447,396,032,472,289,628,643,667,683,134,
496,203,408,167,880,526,876,980,033,892,043,644,484,479,323,856,631,615,062,
193,732,693,114,771,481,771,235,926,582,290,059,530,341,108,676,757,326,718,
461,182,327,340,334,135,082,628,037,592,302,586,395,388,694,930,674,485,139,
267,609,790,064,008,343,478,015,945,095,135,930,742,581,306,383,116,119,406,
055,140,286,752,121,795,828,922,420,432,955,186,371,929,654,503,553,279,650,
110,298,874,590,774,993,549,884,481,957,009,223,173,612,711,339,806,659,660,
887,969,784,481,337,072,595,130,586,414,609,118,780,712,916,782,380,263,909,
126,105,508,720,613,561,121,292,277,544,650,308,178,901,599,808,350,768,958,
068,740,751,350,167,453,732,776,144,072,110,258,129,388,460,520,715,701,884,
160,397,683,152,282,559,421,023,621,052,831,861,087,140,836,159,420,601,901,
552,806,622,553,383,742,779,470,080,205,066,648,926,910,219,790,711,995,470,
087,638,061,389,520,041,363,070,563,146,833,598,217,250,707,361,864,134,937,
612,513,347,647,741,629,660,246,036,207,856,122,706,478,453,023,108,218,186,
389,173,706,762,810,609,427,079,933,231,249,893,376,694,121,488,835,924,216,
152,485,202,158,281,816,284,759,929,438,387,905,689,931,529,059,777,737,505,
453,998,026,247,790,601,040,759,490,258,408,360,479,379,376,253,775,823,405,
134,297,724,913,627,339,084,886,427,624,476,294,424,843,673,899,843,821,535,
376,597,905,467,886,342,205,564,585,212,317,862,730,783,788,214,809,601,001,
661,885,528,100,105,266,539,573,706,108,488,870,350,131,706,667,993,981,398,
716,003,933,194,666,854,582,159,600,081,863,219,584,631,540,573,367,775,778,
030,916,253,175,198,343,187,674,928,385,031,412,920,776,297,496,934,568,133,
754,176,963,801,878,416,109,431,484,833,973,279,195,570,670,485,503,233,895,
328,681,293,383,633,959,391,670,358,708,691,653,623,618,542,224,762,824,678,
322,286,980,855,520,878,341,542,523,556,683,550,012,822,248,618,865,677,710,
031,802,775,794,586,234,028,599,500,592,966,678,926,843,725,955,795,260,696,
705,217,335,560,825,652,521,318,452,984,502,028,267,527,402,290,533,500,778,
672,171,891,023,454,862,397,788,863,886,508,285,787,013,589,152,382,292,737,
657,038,012,855,739,863,191,233,613,454,165,024,563,360,913,957,742,982,815,
350,601,002,271,472,061,849,876,868,910,288,496,431,469,438,354,824,173,062,
180,657,443,262,555,894,371,174,586,139,671,249,657,356,405,378,745,463,708,
069,811,639,719,529,348,987,525,739,843,316,063,218,875,775,362,038,705,634,
661,452,572,285,027,271,248,485,164,770,955,950,729,159,371,743,898,936,619,
452,540,043,225,266,694,959,429,259,354,130,304,981,331,592,086,650,515,001,
998,556,875,739,193,455,934,048,612,941,341,682,194,719,011,297,670,808,820,
782,929,639,931,322,056,321,595,227,985,851,397,556,865,765,476,018,434,321,
101,394,254,400,828,354,990,142,798,539,156,235,958,095,075,406,878,309,848,
080,442,292,427,347,349,276,195,191,259,878,296,743,847,237,662,685,560,654,
892,223,955,373,982,890,542,280,308,092,815,972,985,470,041,546,378,239,947,
168,978,408,385,714,174,236,455,593,590,526,244,838,761,458,921,902,517,917,
543,620,422,481,969,902,951,742,404,014,413,395,170,339,207,828,974,581,449,
885,434,502,358,410,039,186,122,839,459,345,159,644,871,404,813,700,087,202,
036,909,354,792,176,762,247,363,046,287,709,194,339,281,429,625,677,461,244,
851,494,914,224,109,825,459,703,764,149,563,376,128,358,670,965,318,968,915,
040,191,151,336,767,797,132,994,980,728,147,888,709,348,007,859,630,994,665,
166,136,158,665,626,033,733,310,326,013,669,137,138,178,351,833,015,468,889,
978,192,696,021,903,949,555,441,225,190,530,990,022,040,141,149,124,174,288,
541,380,490,127,273,981,683,934,951,252,748,576,926,463,001,620,904,117,302,
678,677,314,883,582,434,934,987,862,496,649,471,613,650,948,792,528,897,948,
331,561,602,441,637,808,408,499,778,688,377,743,692,104,819,979,243,405,614,
734,257,588,837,609,887,579,175,504,218,186,254,711,185,946,357,941,002,979,
622,157,106,915,522,887,290,673,980,954,489,414,437,182,007,503,555,363,554,
902,455,812,093,238,068,851,896,056,020,908,233,781,846,765,185,452,118,170,
695,095,324,313,070,012,114,417,642,656,546,900,773,737,208,113,517,522,920,
430,079,900,983,380,134,322,486,095,818,930,469,520,505,652,019,159,377,227,
828,841,340,191,646,667,924,304,831,034,699,096,340,674,283,518,788,461,062,
500,515,590,949,671,177,075,924,569,309,318,176,113,594,033,590,000,760,015,
841,697,875,712,907,865,993,385,736,643,051,526,250,388,825,312,882,343,002,
576,145,735,420,370,252,389,728,031,883,261,045,214,219,683,182,641,546,077,
641,999,180,812,327,131,859,883,676,615,497,842,379,125,842,609,827,114,351,
714,590,929,955,028,872,318,749,254,952,218,914,277,361,149,676,864,031,924,
516,189,173,775,514,235,985,398,850,877,852,528,294,865,441,901,636,079,378,
962,039,814,502,509,749,554,078,884,922,251,115,866,134,684,772,966,924,528,
007,925,533,091,155,273,291,695,597,539,965,969,884,855,925,265,474,700,459,
923,497,682,413,635,173,703,712,959,785,346,240,625,229,359,321,410,079,386,
018,545,718,055,585,785,815,758,422,797,185,455,099,707,041,722,548,955,231,
452,031,913,462,658,163,691,465,729,340,045,099,396,956,661,553,538,726,228,
915,987,376,518,994,666,851,737,677,407,887,217,802,724,146,122,033,871,264,
438,865,811,912,169,062,393,182,388,939,846,648,585,186,482,360,146,875,268,
417,937,146,013,818,120,327,013,591,222,928,624,363,819,981,292,240,314,360,
475,288,809,021,849,667,008,233,806,843,110,787,704,646,914,604,085,533,537,
818,169,068,477,939,189,432,173,468,956,705,681,632,060,610,588,423,951,608,
314,559,300,361,968,657,617,486,098,278,879,634,388,901,203,528,943,782,688,
604,651,645,980,354,935,690,656,384,361,476,478,430,436,584,767,068,902,206,
818,990,545,290,136,965,389,811,400,879,157,781,554,087,150,038,180,239,484,
709,349,004,423,619,682,663,468,986,955,931,513,440,913,494,054,082,058,359,
715,128,079,232,556,399,240,688,304,580,335,913,470,560,666,190,668,509,924,
637,232,619,802,496,588,207,556,296,538,979,202,952,763,840,879,275,562,642,
251,993,884,779,909,149,486,957,992,197,195,531,104,123,813,896,092,168,312,
809,234,661,277,284,006,003,003,740,584,145,243,359,046,748,505,208,880,662,
635,471,469,233,872,281,286,035,282,563,752,704,356,258,422,530,127,355,756,
277,199,794,596,343,090,555,113,253,017,579,290,065,712,088,649,920,228,594,
832,463,079,382,684,095,543,199,599,265,716,583,403,957,294,780,876,297,350,
328,948,760,791,655,488,807,133,894,646,603,581,301,314,648,699,325,593,619,
505,307,881,568,329,132,157,407,311,561,111,280,862,226,986,966,003,435,173,
702,252,678,184,862,718,956,167,853,731,212,031,893,608,209,365,596,654,540,
718,875,824,359,348,720,221,922,621,240,466,419,663,767,638,117,522,828,378,
849,090,654,434,431,179,443,851,965,855,404,026,941,979,983,410,044,380,587,
031,474,031,519,658,900,997,407,051,667,211,917,674,085,214,824,794,019,092,
740,547,836,043,650,897,209,356,351,938,996,713,384,037,269,181,678,973,766,
275,388,128,338,502,128,922,450,106,178,194,612,903,449,388,304,200,073,542,
122,160,246,940,149,649,465,488,167,841,424,126,642,094,872,189,982,045,415,
620,945,080,136,845,650,538,081,117,651,053,823,994,723,322,856,976,978,141,
949,357,518,004,935,155,047,315,817,988,785,172,566,039,001,322,145,088,575,
276,345,748,406,890,598,360,245,523,844,011,509,594,245,920,253,407,180,028,
506,999,194,255,869,193,118,784,130,492,731,524,107,164,367,747,141,526,796,
745,282,807,850,935,202,705,665,427,511,328,423,100,997,229,646,231,110,458,
868,703,824,181,283,485,086,889,665,995,734,089,466,029,135,024,857,745,954,
475,313,832,626,197,054,248,840,601,730,313,878,274,468,422,660,569,299,652,
088,591,248,152,260,315,405,489,895,762,844,123,300,718,698,745,467,449,808,
174,999,151,177,749,154,523,460,311,651,307,055,067,904,874,423,205,372,584,
420,530,147,438,224,281,574,750,532,889,740,417,079,353,660,226,846,500,241,
591,249,366,063,481,141,275,596,665,079,834,704,648,972,892,685,189,658,735,
938,018,716,783,277,260,930,439,779,812,315,176,344,114,049,111,705,598,491,
009,028,592,479,322,327,148,761,186,331,771,240,092,165,561,089,033,408,275,
041,959,632,247,494,227,546,378,982,027,981,798,101,692,419,288,947,483,080,
175,773,467,005,386,019,245,961,103,104,893,916,333,582,119,636,308,679,749,
791,280,734,822,256,302,089,713,419,919,545,405,463,579,452,038,915,692,194,
062,101,554,985,619,643,391,546,879,029,531,421,510,918,926,128,178,063,784,
173,971,852,718,874,885,104,597,468,405,105,771,476,329,368,177,267,108,373,
896,422,433,739,907,338,488,899,656,156,946,143,238,223,293,733,569,880,245,
128,712,167,066,213,435,090,613,857,958,692,755,632,380,837,610,555,501,437,
590,222,877,806,617,897,851,439,976,448,388,055,734,303,175,845,884,354,780,
299,646,177,971,967,163,240,819,311,281,896,942,617,381,117,269,160,280,249,
057,545,090,581,683,576,838,917,224,313,498,343,910,225,424,137,071,557,639,
599,732,695,436,528,993,091,260,783,501,144,037,083,674,658,086,379,005,673,
676,362,218,066,331,645,242,690,248,372,818,500,667,892,186,787,336,707,833,
880,971,983,135,470,388,578,276,590,605,651,843,219,376,991,551,190,912,356,
230,167,695,209,933,771,828,024,884,543,369,478,925,860,263,562,119,019,548,
460,291,276,504,008,302,307,121,525,154,176,289,880,086,889,510,018,394,661,
881,784,871,242,762,989,252,345,665,586,178,997,646,133,620,545,054,392,642,
088,808,100,048,726,091,700,740,458,963,830,147,083,024,016,248,222,001,552,
927,834,558,763,071,069,652,434,033,674,027,641,470,393,826,554,660,892,049,
885,781,960,082,029,473,294,000,474,266,427,300,940,632,319,223,684,426,955,
460,526,308,540,622,995,469,379,631,506,596,739,849,403,418,558,721,520,061,
577,608,772,730,053,580,208,050,290,114,676,774,231,608,159,268,130,852,773,
334,313,019,100,232,726,675,901,314,232,648,526,805,692,880,745,445,095,218,
498,119,826,184,809,022,974,784,561,195,017,211,263,242,616,227,821,989,306,
514,418,946,652,276,919,273,003,076,716,598,793,990,867,646,402,532,284,550,
630,067,701,709,997,514,351,577,083,462,897,941,430,718,187,312,168,084,200,
322,747,867,903,628,055,777,551,746,401,027,081,761,177,608,816,121,630,181,
706,520,500,340,515,780,574,637,402,453,192,127,789,948,987,783,972,396,150,
784,468,173,751,418,093,008,269,398,833,394,655,334,748,367,218,070,682,424,
174,267,528,606,356,999,955,715,414,223,257,062,759,091,862,761,504,892,980,
784,707,319,069,593,265,619,925,426,032,395,667,939,513,943,296,816,006,753,
897,411,798,005,909,320,956,912,731,673,756,474,416,648,057,199,622,001,043,
446,664,481,596,027,186,118,869,375,855,299,110,761,624,828,957,489,921,087,
701,464,935,228,603,246,471,728,203,274,388,151,872,354,775,185,092,834,126,
971,856,374,913,292,751,801,265,201,489,393,620,153,184,659,173,046,360,363,
848,939,706,437,619,981,737,037,685,322,020,715,590,145,848,593,025,873,201,
996,616,811,809,865,386,888,752,792,723,388,407,382,748,500,735,534,960,908,
958,981,037,486,054,317,944,003,545,199,351,794,753,057,877,885,457,232,356,
429,907,165,330,485,648,280,604,284,125,997,576,389,721,665,618,083,127,097,
571,825,117,748,971,180,413,472,308,545,501,078,248,266,189,689,084,296,601,
844,529,301,540,628,079,681,227,603,053,063,710,106,378,478,070,875,039,786,
762,090,151,487,213,364,705,411,549,535,256,385,570,856,275,765,754,354,294,
639,980,261,754,863,504,674,063,586,478,769,995,478,947,792,161,512,547,064,
005,154,899,855,042,609,895,336,676,150,586,839,511,155,897,652,095,316,851,
740,999,684,466,479,788,908,238,608,785,979,562,759,174,764,882,050,066,663,
783,481,121,658,740,652,887,206,450,041,205,827,644,676,258,219,481,641,307,
631,995,259,369,142,737,739,871,618,467,518,021,332,662,599,195,174,380,402,
650,123,856,046,933,605,870,927,419,768,880,066,994,146,002,561,939,531,230,
503,301,701,296,812,041,310,096,567,001,638,500,682,793,428,741,711,803,004,
296,999,034,342,827,690,977,484,599,343,456,616,198,712,134,311,262,814,584,
727,488,308,433,124,774,563,244,757,387,900,960,250,058,325,604,803,946,366,
624,832,454,657,284,798,847,162,897,056,032,267,000,197,018,087,500,809,496,
686,562,751,710,342,142,203,684,829,066,412,422,711,118,423,375,719,134,579,
633,973,995,709,667,293,081,842,092,724,584,182,616,176,670,667,966,514,916,
309,576,162,790,272,875,694,865,995,869,783,546,897,640,277,756,864,087,635,
242,949,811,145,512,302,494,737,857,990,954,981,990,793,930,416,309,280,910,
419,828,817,784,710,754,869,327,257,282,808,362,954,829,396,007,545,527,609,
350,175,050,174,068,673,386,516,128,101,836,725,536,320,768,220,622,837,254,
437,574,461,944,408,576,066,420,038,643,699,105,375,041,798,526,020,795,687,
724,815,539,497,197,439,888,413,463,619,615,721,637,907,775,516,052,962,260,
665,338,746,193,541,702,083,406,562,000,269,173,734,364,437,520,034,755,391,
675,365,881,533,991,040,067,906,997,534,608,312,375,667,937,201,189,119,540,
537,779,223,748,249,770,792,100,713,420,960,731,080,486,858,655,123,799,886,
572,205,641,442,206,403,500,035,487,861,790,836,568,467,522,662,941,955,323,
614,078,524,838,041,484,003,636,646,730,238,031,136,543,347,870,092,750,277,
098,491,111,094,271,462,136,323,839,845,205,135,331,610,037,733,556,228,266,
078,904,733,388,377,710,356,754,054,709,859,012,327,064,349,237,205,503,037,
388,565,543,052,160,487,934,435,204,721,565,832,371,112,304,701,671,800,034,
274,442,445,021,279,372,623,457,744,986,938,683,081,693,661,708,500,431,312,
695,254,060,920,803,908,970,887,030,108,462,251,238,977,048,253,449,283,297,
574,516,037,334,670,467,953,854,170,234,452,635,526,269,588,087,704,382,043,
082,816,978,159,291,107,010,645,564,412,580,900,973,559,555,344,729,200,776,
117,063,766,633,727,076,390,655,090,834,500,438,472,126,968,920,105,008,602,
025,506,597,923,917,904,654,239,825,975,758,832,261,289,355,848,631,760,054,
163,414,545,552,236,098,395,775,009,976,637,974,059,291,581,290,298,851,077,
702,160,238,743,790,753,150,118,388,572,584,223,351,098,347,429,726,465,694,
408,788,861,013,341,936,281,269,923,962,134,804,893,307,628,221,635,597,953,
543,655,632,301,408,416,219,258,919,474,481,180,102,976,295,951,802,047,227,
881,521,984,820,725,264,026,004,062,857,086,686,204,818,752,282,214,959,103,
075,848,221,547,809,190,910,684,780,539,918,800,375,077,713,928,409,334,309,
323,763,674,850,019,181,800,086,205,545,758,324,879,466,589,394,549,002,823,
559,214,364,537,557,533,962,069,319,350,878,825,289,602,205,466,518,823,355,
280,908,272,581,312,022,973,529,618,564,746,189,426,910,588,632,741,673,068,
284,766,966,318,173,068,654,449,379,382,774,805,932,117,328,699,814,430,140,
768,839,043,009,943,844,520,998,383,780,851,326,445,086,615,611,077,348,540,
142,732,565,383,775,782,760,643,231,902,247,727,432,636,640,767,421,837,278,
683,807,549,727,470,671,188,825,540,130,625,742,143,208,658,721,147,629,360,
661,581,033,970,302,764,103,290,515,387,698,731,892,692,458,722,178,682,153,
757,861,755,127,840,551,025,855,162,681,503,415,026,549,833,437,711,025,829,
877,808,357,364,838,495,714,011,016,614,613,636,584,214,545,962,027,660,728,
071,773,359,364,564,329,262,968,782,045,284,980,337,332,078,700,711,610,898,
394,867,713,880,999,275,762,209,378,236,081,760,270,922,221,448,936,730,645,
832,311,416,730,840,995,350,962,858,929,131,590,354,093,985,493,863,515,291,
728,251,219,181,590,376,586,154,223,401,024,498,314,205,185,992,893,752,122,
191,099,232,169,834,587,093,627,796,605,238,827,739,240,090,101,468,288,917,
933,753,154,318,791,047,833,531,171,914,938,034,258,073,897,259,476,557,748,
176,054,550,841,658,292,706,340,821,092,968,479,725,657,722,818,217,366,959,
087,652,965,370,407,114,847,413,509,037,884,735,016,647,016,189,917,056,356,
396,172,282,272,716,817,091,943,465,671,386,330,904,392,197,975,785,080,629,
050,607,329,341,136,725,473,117,591,895,528,662,642,487,832,079,459,969,915,
469,330,052,445,066,841,123,319,798,616,591,334,541,236,131,630,585,806,215,
421,597,736,447,025,486,606,209,949,627,873,396,692,916,526,552,832,984,762,
304,306,889,969,389,325,553,045,420,546,765,692,796,931,734,516,349,339,684,
710,526,525,299,814,774,160,215,384,907,702,678,967,480,563,454,595,522,830,
892,437,236,754,948,855,173,989,748,891,635,385,813,301,664,144,434,399,670,
313,199,882,684,578,900,723,319,117,810,432,676,999,897,993,325,349,473,397,
519,938,023,432,521,575,826,871,272,538,242,091,988,556,961,539,704,319,761,
720,995,617,797,396,657,362,944,134,749,756,780,832,413,022,468,675,068,824,
381,751,586,356,546,212,263,888,848,971,731,870,929,949,966,815,132,974,187,
386,549,450,177,336,497,622,651,741,322,508,507,424,397,868,001,346,583,086,
837,413,226,194,476,243,279,339,958,286,305,127,785,418,937,554,007,520,277,
572,147,977,654,349,793,835,032,429,520,413,646,675,736,080,829,282,593,768,
511,082,387,161,520,793,959,590,158,089,906,032,028,679,007,483,019,657,754,
884,165,666,136,291,384,089,147,551,316,370,882,630,450,319,598,845,908,376,
899,055,043,683,996,042,941,788,615,397,664,361,361,072,727,271,536,241,020,
865,699,894,532,410,929,111,888,371,259,310,235,078,105,298,835,259,824,189,
597,116,354,929,375,031,456,051,150,216,847,653,887,058,564,594,045,867,897,
588,133,105,568,751,046,778,226,654,951,230,639,989,062,846,671,585,607,098,
043,813,626,945,032,615,594,495,432,914,316,908,458,943,089,065,593,777,870,
079,637,633,582,658,475,568,202,600,171,809,444,062,271,316,241,104,821,887,
471,586,842,790,041,266,128,801,369,994,194,109,796,613,149,066,154,519,003,
779,016,814,796,467,088,989,144,374,819,590,037,127,463,156,890,512,054,085,
002,719,870,497,722,844,125,868,828,679,493,734,903,060,224,100,836,528,190,
672,496,196,739,090,304,847,689,806,251,068,481,808,953,025,067,332,030,717,
021,684,090,251,261,259,189,378,912,969,576,818,537,012,775,555,606,623,891,
529,463,333,104,058,476,924,847,161,219,468,181,363,126,356,232,376,893,200,
847,320,551,009,607,571,152,796,112,631,675,911,852,634,790,179,304,298,305,
901,399,322,949,737,322,336,534,792,913,067,996,147,926,609,141,887,151,783,
690,290,391,680,353,606,874,107,497,110,373,031,079,560,868,976,743,940,670,
796,827,130,821,346,588,884,294,638,023,961,329,016,040,076,942,454,324,850,
295,489,400,751,905,896,291,285,239,254,811,080,603,995,492,179,129,656,101,
539,154,601,461,829,489,647,806,477,363,206,376,016,009,074,688,235,276,832,
153,410,852,153,202,344,030,866,438,008,029,490,627,270,109,667,750,404,542,
390,954,843,068,120,851,312,838,253,958,187,935,559,963,228,827,355,432,735,
538,881,815,141,979,253,537,229,787,372,733,095,271,039,808,699,623,821,249,
777,968,542,682,895,179,050,272,493,844,510,593,625,885,269,324,463,258,479,
621,250,419,017,825,559,740,812,112,574,758,136,067,787,404,436,631,168,664,
084,446,018,123,349,116,017,919,247,956,625,051,544,869,488,251,416,864,788,
137,180,427,800,010,671,443,675,239,734,895,049,829,057,515,898,790,413,503,
336,421,067,102,441,487,885,287,507,485,371,605,481,158,325,029,723,723,516,
278,600,625,401,274,339,323,737,968,229,328,365,597,555,332,114,524,442,853,
525,662,482,992,963,901,104,097,126,133,892,744,674,319,177,119,428,006,701,
773,681,846,193,875,684,109,976,135,446,411,933,452,228,966,302,204,934,289,
872,216,463,190,698,535,601,315,800,026,067,565,468,892,992,976,711,235,334,
338,679,715,506,254,257,171,470,560,988,889,803,382,615,716,945,207,588,917,
195,868,439,788,157,106,806,251,937,087,844,542,794,321,116,753,863,661,237,
384,741,146,452,923,744,931,693,899,560,337,910,975,501,046,364,726,516,461,
548,844,928,069,735,767,714,276,960,123,281,526,385,203,773,442,839,886,730,
191,171,485,271,930,718,647,297,372,255,466,402,428,568,840,560,654,292,271,
917,738,445,684,172,935,374,146,522,175,449,019,144,584,052,325,864,040,564,
239,504,030,766,391,017,291,845,629,705,584,314,725,784,017,698,814,254,788,
585,072,571,982,443,772,526,816,096,088,940,531,680,391,543,821,962,301,416,
196,879,063,095,829,070,470,891,829,546,767,744,716,038,019,499,124,116,520,
004,514,411,303,136,550,290,575,742,945,982,310,170,096,604,967,189,641,520,
933,498,909,401,647,154,628,710,610,705,325,687,315,608,915,212,997,844,342,
067,944,377,577,346,157,181,635,640,596,614,477,744,672,601,029,543,813,579,
682,642,857,639,823,978,103,047,200,923,707,414,259,218,270,620,290,371,549,
555,407,237,022,570,558,949,267,002,611,529,162,175,990,225,485,354,963,248,
330,647,683,450,385,198,209,335,343,082,012,265,535,608,441,263,329,387,483,
541,527,097,238,052,243,106,775,179,434,653,226,859,772,057,117,004,050,547,
741,656,994,532,261,948,542,765,592,703,344,944,321,694,554,863,751,053,609,
560,839,313,193,071,014,848,703,475,505,291,998,427,061,544,817,454,486,531,
017,294,395,352,504,335,973,584,352,625,770,701,693,450,660,844,974,729,962,
955,091,803,704,460,355,464,929,665,842,770,067,207,644,880,146,934,338,038,
393,860,677,282,125,016,889,000,374,268,539,638,668,226,946,264,668,179,555,
577,860,170,732,830,359,347,550,339,449,171,134,875,513,154,111,302,445,719,
705,728,028,203,642,770,389,054,152,495,977,432,233,079,313,194,730,699,886,
493,330,768,882,149,252,703,048,674,018,997,109,859,163,150,152,424,824,496,
099,885,975,612,431,276,282,841,713,175,788,188,451,181,050,513,638,687,944,
935,468,460,615,824,117,564,045,166,174,371,754,638,532,134,308,729,580,266,
729,748,338,959,793,902,141,540,557,585,786,152,387,259,158,937,990,394,446,
237,109,983,237,571,551,601,748,502,757,494,756,912,906,496,605,128,880,209,
247,627,564,131,927,292,907,453,688,640,590,887,662,640,400,588,519,575,709,
277,977,341,981,674,106,094,701,316,114,373,829,216,565,969,264,749,288,887,
085,016,105,194,974,360,311,153,866,750,458,411,376,343,619,008,103,620,216,
504,505,778,276,612,855,168,689,154,433,564,968,134,592,630,610,147,617,171,
391,724,613,738,167,949,407,122,123,006,707,808,576,502,428,740,368,603,038,
877,239,475,956,950,745,972,545,654,294,632,799,762,933,586,913,170,131,018,
257,703,180,562,661,523,186,908,755,855,692,742,797,614,834,139,616,060,591,
568,009,115,439,733,082,876,688,644,000,373,389,418,971,261,083,329,045,393,
010,494,076,709,641,791,117,190,501,308,668,543,021,899,698,204,160,662,678,
789,873,474,213,213,365,068,901,553,378,977,747,751,809,638,521,396,769,606,
297,361,960,953,839,420,781,274,453,991,171,872,010,935,077,551,647,985,022,
482,713,551,894,515,514,229,703,043,833,453,564,923,474,042,190,950,279,410,
949,832,088,304,003,724,890,706,273,045,406,321,054,257,574,418,680,515,397,
432,837,925,018,635,694,473,206,750,807,546,969,753,401,707,197,778,734,914,
656,163,897,156,327,250,389,215,721,090,039,499,073,693,597,330,960,640,491,
687,503,257,315,007,292,808,978,247,556,730,930,500,519,705,502,423,578,713,
654,179,794,048,241,496,791,878,810,030,309,008,568,257,034,278,422,920,252,
833,871,064,327,520,911,958,069,182,719,278,916,227,765,560,483,083,588,600,
047,377,806,517,722,308,515,263,423,110,404,879,409,611,347,948,722,229,593,
292,356,877,343,305,786,225,008,659,208,823,046,774,263,528,647,418,970,183,
572,699,129,015,201,904,552,390,684,135,349,438,307,365,816,249,007,726,595,
488,461,664,284,975,894,498,659,296,342,781,425,264,810,795,819,557,232,357,
819,187,805,748,751,288,644,033,911,206,892,358,746,820,563,286,416,277,004,
789,378,428,114,062,134,099,907,494,213,316,308,135,869,338,125,080,470,316,
321,724,195,077,804,553,137,906,491,052,561,353,622,848,458,552,898,884,598,
763,183,590,704,905,408,348,599,163,716,271,911,466,456,392,060,355,498,528,
461,598,714,014,962,143,344,915,813,384,485,225,149,776,141,603,957,161,923,
665,773,650,113,780,669,031,925,529,424,960,114,427,507,806,715,626,237,856,
624,625,906,580,920,133,654,853,304,763,725,924,905,340,786,659,209,017,353,
451,683,281,237,033,650,853,587,316,119,539,281,083,745,759,433,042,562,582,
005,315,688,085,737,355,281,668,914,197,533,865,956,916,194,081,964,070,990,
173,672,556,865,821,652,329,956,060,024,861,112,713,615,159,541,590,658,747,
158,232,308,631,310,782,254,970,151,988,011,782,064,413,469,213,013,126,165,
103,893,083,403,305,180,730,387,983,333,749,214,913,074,527,642,518,520,262,
449,822,920,559,424,884,406,228,469,092,191,599,935,838,435,231,369,158,435,
254,655,236,252,725,550,272,925,707,346,472,343,176,171,321,756,510,511,061,
783,924,032,656,839,771,620,689,812,198,941,234,709,401,222,538,909,942,239,
006,712,040,158,055,587,006,317,071,010,961,993,956,957,720,241,957,814,381,
509,911,837,398,449,331,425,041,244,132,669,530,076,621,450,500,830,570,070,
068,937,989,166,003,991,399,629,942,256,414,332,133,540,667,233,940,943,858,
258,407,354,701,236,918,441,722,398,543,449,577,695,461,756,064,276,670,052,
030,555,717,527,353,805,978,331,312,392,458,610,746,928,344,815,960,785,249,
159,708,364,635,739,828,237,941,463,110,746,750,564,288,972,680,348,559,197,
610,729,277,817,930,290,861,703,485,729,451,746,462,109,399,430,174,417,003,
334,483,899,207,466,211,714,947,204,214,820,407,020,947,548,151,501,268,352,
920,023,651,466,156,063,628,503,431,744,395,468,363,217,554,154,371,129,429,
682,898,001,841,479,448,335,812,107,099,337,522,886,026,952,739,097,132,157,
583,735,740,711,219,638,903,432,228,980,532,670,258,863,782,994,553,257,012,
939,255,369,204,046,278,860,793,394,204,815,611,698,437,253,956,357,631,976,
187,077,524,771,023,815,437,767,984,398,757,865,126,223,956,823,700,404,162,
586,047,837,340,236,799,006,230,810,956,935,811,784,617,885,765,857,609,264,
089,006,056,918,217,345,817,681,881,026,179,185,555,015,508,185,927,296,011,
422,554,896,345,734,446,142,288,107,014,754,092,514,652,147,091,617,415,852,
912,392,469,718,465,145,808,499,630,613,378,548,715,776,653,098,580,802,312,
811,412,759,117,757,883,866,670,248,907,808,907,274,218,461,308,055,383,299,
744,949,704,627,161,789,505,350,581,152,767,447,259,831,522,556,256,805,244,
749,641,131,410,958,141,460,590,205,379,304,956,696,180,956,108,551,424,692,
695,861,252,569,157,254,994,929,907,041,177,841,040,855,843,772,926,786,584,
350,127,942,771,694,951,990,138,596,691,590,631,767,150,874,859,486,311,470,
298,661,030,065,779,571,156,284,173,046,306,591,583,212,336,107,042,802,410,
599,510,365,157,413,173,348,352,184,124,916,370,507,987,411,851,282,823,923,
274,194,190,909,883,587,634,360,399,270,156,056,520,897,481,535,837,069,213,
260,122,973,464,668,674,988,535,329,994,335,834,315,677,054,857,182,094,472,
718,784,596,601,352,577,762,645,409,796,785,654,647,552,069,704,448,535,170,
792,902,942,781,350,944,976,612,398,461,587,071,267,806,028,156,104,486,689,
043,150,315,309,050,549,260,970,536,782,628,401,028,320,649,499,838,267,309,
655,159,304,305,647,299,591,424,259,004,710,378,219,950,805,503,731,694,011,
953,671,454,483,935,196,478,319,854,782,743,879,109,816,472,981,618,575,164,
155,927,740,085,726,268,310,380,395,350,992,097,731,853,263,833,662,223,106,
402,596,655,896,657,104,896,705,210,667,141,815,010,318,127,002,437,632,861,
769,574,798,588,160,723,043,397,022,034,606,090,093,909,492,891,594,402,900,
721,329,095,987,845,087,275,964,980,862,262,090,041,159,766,074,599,864,210,
227,764,789,395,979,858,594,694,274,544,535,723,922,428,335,857,637,492,469,
955,524,630,878,923,196,047,750,897,464,510,028,265,120,794,786,772,461,848,
484,371,039,296,554,505,357,949,985,935,845,240,761,416,522,051,219,599,874,
587,017,145,365,524,180,117,307,881,523,854,578,648,339,403,044,381,640,986,
020,009,886,413,952,046,651,575,168,464,775,186,866,645,685,177,832,784,300,
657,941,878,187,199,546,826,437,040,021,157,062,747,653,878,524,645,597,039,
827,652,109,211,102,145,903,620,405,641,435,203,600,596,006,115,532,664,286,
854,716,422,830,138,624,086,285,290,085,595,960,936,104,280,299,075,178,714,
040,980,468,434,849,872,087,972,500,689,061,879,336,079,309,348,832,947,191,
298,551,595,834,980,364,410,447,692,700,708,520,609,184,576,694,678,869,712,
124,029,330,183,035,368,107,363,442,844,144,213,995,945,771,576,228,557,532,
733,337,754,800,584,296,429,175,549,538,858,278,695,250,173,071,658,334,713,
603,022,389,129,759,190,928,073,186,399,648,944,433,250,720,136,531,399,419,
318,966,051,567,283,846,403,561,881,399,801,701,168,631,263,853,079,387,853,
946,854,791,677,600,257,827,152,416,403,131,755,509,004,969,687,650,550,783,
661,264,870,153,304,602,362,053,632,853,268,455,617,996,790,838,735,150,377,
656,166,922,270,494,369,668,830,706,342,175,212,261,824,804,734,994,430,072,
844,257,598,219,812,700,529,093,972,164,957,271,220,361,712,961,703,763,763,
131,320,857,128,324,862,682,643,691,364,847,118,155,429,372,466,301,763,685,
535,616,949,617,114,306,908,573,110,782,772,832,490,417,513,014,897,307,414,
407,484,027,167,164,528,772,402,567,825,561,250,043,768,184,750,746,099,169,
083,966,229,794,091,497,709,154,504,230,109,639,599,848,248,738,915,619,383,
740,669,602,080,649,474,529,898,470,824,384,310,060,085,387,338,712,538,685,
735,505,483,140,684,501,638,149,086,917,322,326,788,095,115,085,473,686,908,
838,124,510,645,057,956,326,816,178,128,891,708,195,466,629,816,906,276,371,
171,406,235,228,285,023,110,438,051,919,536,696,695,336,444,100,905,315,158,
886,691,115,135,278,602,113,336,352,719,075,865,924,073,187,179,135,578,589,
260,796,474,584,328,075,032,320,315,835,477,208,399,981,755,867,396,254,034,
480,486,046,504,682,708,591,107,312,071,003,820,604,979,112,284,174,505,230,
671,642,700,547,348,186,147,418,768,037,371,222,658,739,760,481,829,945,404,
926,164,399,066,588,595,125,684,617,331,963,695,993,541,077,219,303,584,964,
438,303,110,250,992,462,304,806,262,845,637,740,276,238,882,866,981,063,820,
805,190,966,233,485,281,625,898,059,257,793,615,996,590,027,797,589,396,399,
415,710,784,450,757,891,018,161,287,518,949,703,048,896,991,635,198,931,760,
093,889,553,065,579,560,508,072,968,047,685,965,635,892,015,198,670,635,482,
996,429,314,394,220,996,208,026,852,484,707,884,036,767,084,710,254,417,263,
518,982,930,676,610,927,081,067,427,112,106,312,193,691,666,155,703,452,453,
051,262,556,044,790,964,802,783,720,052,207,271,735,954,202,426,642,323,179,
706,157,721,327,063,269,116,498,083,752,481,205,895,065,143,997,869,190,721,
202,350,295,987,091,716,433,062,734,293,861,521,946,091,175,477,317,456,170,
668,290,133,233,882,402,522,778,399,566,200,118,274,042,124,126,914,949,157,
216,424,562,371,993,306,264,982,408,959,265,841,435,517,192,628,126,626,021,
768,416,162,458,950,480,503,466,096,402,999,857,348,574,562,715,698,099,207,
819,268,074,003,815,323,874,773,357,589,225,041,027,121,662,976,495,362,977,
277,189,814,027,671,717,069,009,787,720,603,838,236,981,581,654,375,268,803,
350,742,727,410,781,701,312,364,422,337,397,416,094,952,689,110,066,345,317,
473,897,592,768,198,182,923,880,619,207,183,477,466,014,319,614,929,959,723,
954,705,682,032,606,973,044,222,907,842,326,465,132,883,514,093,907,835,231,
579,130,593,410,794,242,560,956,419,747,948,832,787,181,673,166,916,857,507,
898,133,432,379,023,469,224,104,519,755,296,006,554,391,528,391,652,628,051,
946,786,545,832,950,648,264,513,362,904,359,249,461,669,361,542,511,819,600,
809,199,707,507,186,214,131,601,209,115,612,255,492,409,433,453,762,071,054,
328,759,494,429,205,361,715,483,586,319,436,429,809,425,605,281,644,711,891,
195,025,444,672,362,720,914,320,207,909,114,961,830,362,717,869,766,467,895,
751,901,111,827,551,697,885,248,273,543,592,659,638,913,939,538,640,966,980,
539,937,269,954,305,620,833,092,355,679,877,721,981,540,887,931,201,205,352,
526,988,508,123,281,606,895,795,937,300,955,472,461,113,871,580,739,558,587,
156,988,396,759,649,464,126,503,248,800,119,674,821,351,709,479,166,983,303,
074,280,623,936,007,922,617,549,073,436,546,169,773,394,038,651,522,444,294,
520,101,021,491,018,907,881,010,640,968,640,772,613,608,747,236,081,653,525,
823,907,808,208,248,890,298,415,251,983,065,487,524,656,267,815,410,872,809,
751,120,499,535,568,931,291,995,629,406,809,244,763,316,176,082,755,511,151,
513,458,454,986,412,646,588,452,057,918,829,834,792,890,286,176,190,995,096,
248,936,236,225,749,833,642,279,221,132,320,455,616,050,389,352,536,737,210,
100,535,606,295,453,877,946,347,839,587,242,130,063,044,124,464,404,386,025,
848,513,535,014,559,282,081,848,211,622,072,127,581,201,925,565,972,808,161,
723,403,535,496,020,053,678,661,679,578,317,682,741,205,359,710,899,218,065,
586,358,961,405,118,669,024,364,644,311,773,661,168,977,584,604,520,840,640,
889,839,855,746,984,128,155,243,639,727,188,307,932,148,187,271,781,393,630,
749,732,956,657,799,678,573,952,255,794,703,669,000,177,042,263,578,403,072,
393,138,349,320,953,432,462,210,460,905,323,579,587,643,656,549,981,680,821,
567,834,609,204,810,470,525,633,775,462,051,649,584,211,754,943,227,065,978,
524,249,798,665,648,551,683,511,602,457,265,872,462,375,269,330,764,685,795,
965,203,223,176,550,389,122,918,227,474,452,900,959,529,170,241,197,008,014,
412,112,857,304,546,742,484,587,951,338,207,373,456,334,841,835,610,802,150,
048,439,390,431,030,311,193,152,471,425,666,652,427,210,406,534,766,323,950,
228,548,500,540,299,212,156,891,112,543,832,557,835,786,484,532,869,468,004,
876,367,125,101,285,233,690,756,038,205,025,850,020,252,728,835,348,020,010,
424,947,469,922,435,245,710,040,012,187,068,503,680,976,854,672,677,596,686,
977,733,352,250,533,643,640,353,728,022,336,126,350,632,026,773,843,090,697,
522,645,453,299,394,586,838,549,290,229,983,165,998,561,641,079,431,419,986,
802,833,886,449,137,114,192,543,643,436,015,018,260,431,970,992,767,582,939,
154,375,563,554,006,159,118,661,867,791,312,719,656,585,567,078,012,924,831,
058,485,297,617,639,945,906,742,240,570,873,505,890,865,238,236,161,985,894,
715,446,737,883,131,488,614,624,640,331,934,002,104,118,179,534,360,222,983,
470,042,172,227,038,118,244,435,804,503,879,350,144,105,707,832,930,038,105,
976,536,974,875,010,945,263,161,820,804,875,140,245,635,010,396,157,386,004,
172,574,769,817,253,634,058,670,531,342,324,428,319,162,851,514,027,823,549,
504,122,109,646,243,022,476,038,159,929,675,122,377,292,939,016,799,722,782,
232,411,695,615,842,413,785,078,429,027,279,625,687,809,081,722,097,202,202,
700,908,273,997,233,598,252,443,187,104,940,283,524,192,214,732,818,457,523,
247,722,991,198,069,607,575,800,578,688,787,466,279,418,333,343,293,973,620,
925,492,994,951,360,551,969,169,245,821,377,383,551,809,103,891,911,638,235,
361,819,624,119,680,614,828,648,354,412,654,306,713,448,550,331,999,193,114,
178,342,156,014,398,834,253,127,853,843,522,741,267,021,513,676,512,929,815,
787,853,989,626,096,931,302,512,382,611,395,607,270,055,919,566,481,735,667,
903,480,106,424,895,561,753,247,507,576,001,700,658,231,974,243,414,669,699,
488,371,923,663,896,738,458,844,521,673,491,172,564,346,115,427,147,482,279,
614,375,379,383,149,013,190,320,095,845,096,758,502,184,688,464,947,171,283,
282,875,370,094,913,109,874,695,653,458,255,396,991,930,731,499,816,450,020,
267,755,597,066,577,145,948,313,491,317,431,961,486,121,881,697,091,076,349,
888,267,810,680,424,940,738,334,393,545,747,262,327,553,114,422,530,774,869,
900,197,817,978,421,567,519,287,859,802,872,672,411,706,546,755,751,826,167,
257,440,048,365,941,615,137,212,240,643,296,562,138,926,101,856,111,749,698,
386,399,667,806,484,635,302,257,125,900,852,631,056,515,924,769,331,909,252,
794,286,913,600,061,531,947,922,045,311,925,172,465,604,818,272,430,996,913,
080,640,722,602,808,003,298,776,252,971,183,252,841,053,981,516,067,690,562,
909,000,744,541,818,110,200,497,603,236,248,262,205,052,757,176,317,722,698,
041,133,970,341,801,482,324,906,429,774,633,916,015,003,674,353,357,287,534,
459,305,164,771,013,131,843,639,595,189,571,130,766,482,264,192,269,657,169,
224,729,538,922,665,588,986,330,628,284,994,899,910,921,852,837,338,678,584,
792,655,955,665,388,925,300,802,118,222,134,895,431,418,242,600,629,546,580,
451,308,254,141,421,315,897,070,223,458,396,609,569,726,821,727,099,067,681,
386,874,137,575,921,206,131,929,509,466,185,521,394,406,340,653,957,898,975,
281,552,730,265,962,033,300,431,521,368,725,748,922,749,661,490,600,800,686,
735,009,256,029,039,234,037,794,789,516,597,716,881,708,491,540,895,146,662,
276,395,629,976,575,700,821,058,129,014,829,669,803,359,986,642,817,527,805,
336,106,393,880,895,359,071,675,539,487,164,178,140,203,642,339,214,508,493,
633,274,177,330,376,477,954,902,604,796,295,978,037,367,503,934,109,085,227,
627,838,441,553,835,260,599,652,252,270,544,366,749,611,981,511,329,153,711,
238,950,365,583,836,299,951,248,390,547,027,501,566,529,686,140,499,227,750,
670,038,416,177,225,890,180,335,742,353,633,687,942,111,250,254,845,746,465,
168,777,045,576,465,299,089,607,703,167,139,712,506,784,832,121,766,799,521,
696,993,204,709,873,085,630,111,622,585,616,308,419,627,622,517,970,376,752,
444,257,097,183,096,085,586,683,206,555,424,296,450,469,636,315,219,618,172,
593,492,104,512,731,797,207,016,695,735,691,894,988,971,363,492,129,503,854,
080,268,655,569,247,822,036,937,953,749,603,774,659,013,234,711,912,990,375,
989,181,221,718,509,077,259,633,731,264,325,192,649,634,396,551,589,525,711,
478,396,303,222,558,066,329,333,847,955,920,053,354,293,877,682,773,298,683,
487,029,125,380,442,303,845,019,302,392,846,363,290,532,794,953,507,953,150,
643,677,149,867,645,034,582,969,119,398,767,484,851,548,857,135,846,796,238,
517,097,667,145,904,545,231,849,592,764,963,182,703,118,927,771,017,608,295,
869,060,337,282,006,555,600,054,521,798,104,088,362,024,989,712,653,995,026,
912,393,067,213,400,081,772,409,597,391,861,725,738,096,335,507,798,540,590,
911,487,781,477,526,737,104,712,649,535,780,066,230,432,546,733,636,560,965,
560,877,054,084,101,799,680,074,003,392,058,527,866,964,748,390,920,966,636,
561,471,577,511,127,873,524,404,228,990,247,986,244,053,947,652,402,421,763,
043,605,043,782,555,021,770,289,983,034,944,904,069,818,997,441,465,215,713,
147,176,496,147,574,131,508,655,138,737,119,655,645,966,157,746,207,018,850,
192,335,404,918,497,275,485,008,019,549,873,490,099,380,752,546,364,535,502,
593,742,887,894,130,213,535,342,242,016,419,093,761,160,799,745,196,600,968,
796,412,989,877,143,647,331,125,906,246,112,025,591,615,376,202,100,143,116,
173,179,567,882,865,307,242,250,614,251,192,164,652,002,061,941,854,597,279,
529,308,125,028,275,448,852,769,713,776,422,305,948,106,987,546,497,681,851,
747,100,928,419,457,849,761,475,612,627,235,940,319,757,785,383,296,996,536,
667,362,458,487,783,166,864,863,927,631,994,960,222,255,830,159,900,619,197,
827,230,375,632,684,918,550,357,287,384,989,733,718,101,853,766,669,841,836,
695,636,456,556,406,178,088,243,194,524,356,159,296,127,721,956,266,652,434,
175,239,245,747,760,101,174,348,686,865,758,225,389,887,455,246,211,232,377,
356,782,771,453,449,436,925,423,452,099,452,125,770,511,960,521,650,909,535,
161,009,325,555,803,826,401,671,076,610,871,704,342,970,530,592,302,986,313,
688,096,301,346,934,246,669,588,805,189,221,291,396,223,985,419,238,633,675,
880,149,868,586,052,735,261,246,127,866,982,795,283,389,306,870,502,719,663,
540,275,186,075,643,500,542,178,276,481,178,026,566,561,129,079,869,678,725,
858,350,399,082,498,554,536,799,896,094,081,272,375,993,466,081,863,370,614,
128,288,449,291,182,392,258,373,651,690,463,315,435,047,222,069,222,042,262,
472,495,575,571,198,973,026,062,887,704,257,820,757,784,199,963,592,751,124,
995,659,407,593,450,221,402,662,299,327,382,590,677,213,348,291,351,496,191,
059,877,520,890,286,946,924,279,750,728,307,328,617,252,050,805,369,935,369,
980,091,691,238,327,219,764,046,685,516,716,430,772,107,120,309,567,554,224,
582,940,419,622,846,856,451,044,365,546,895,558,694,004,422,816,541,711,646,
707,221,196,270,364,844,082,378,139,416,810,567,978,560,659,083,674,327,469,
495,357,390,969,504,067,371,642,525,079,354,656,197,587,848,360,979,230,669,
412,321,639,693,989,120,990,017,791,159,714,721,223,083,242,711,406,924,862,
584,696,760,490,761,238,331,676,629,312,738,531,772,086,971,504,318,838,674,
838,393,835,513,954,319,433,700,113,154,886,038,313,811,572,777,580,031,018,
909,738,989,333,187,386,785,636,702,551,190,680,279,839,977,027,176,743,945,
813,508,043,037,860,711,423,955,771,599,814,110,144,786,451,625,542,589,833,
504,114,417,126,370,010,986,927,733,612,293,395,901,204,321,862,374,355,044,
423,826,806,890,085,650,672,439,159,484,334,941,807,944,511,942,630,503,961,
475,864,189,070,262,783,108,958,611,595,296,844,842,999,363,400,019,525,547,
274,451,605,740,390,156,668,872,370,785,585,045,055,328,720,340,733,659,946,
347,714,862,537,651,669,941,149,795,872,423,834,658,697,607,211,781,963,289,
979,893,244,114,983,810,209,457,976,697,073,834,156,638,249,249,590,446,337,
595,125,520,329,097,875,809,632,568,387,126,675,605,940,939,732,401,117,811,
594,797,616,372,138,708,313,541,080,592,392,291,455,395,180,987,212,703,047,
524,708,509,613,384,378,820,673,021,462,833,026,531,381,015,310,450,496,002,
850,769,025,784,315,613,252,504,551,941,031,992,280,652,901,323,449,778,480,
512,564,999,242,690,560,154,824,706,551,459,268,901,704,236,335,469,390,799,
652,837,419,650,708,314,780,375,732,838,230,754,509,629,818,624,074,879,758,
611,832,849,385,530,533,805,564,446,390,254,341,822,066,102,741,429,430,000,
193,977,056,004,210,065,071,841,221,141,526,420,134,166,605,926,559,326,973,
473,093,591,312,790,696,973,229,181,074,772,157,340,027,560,249,893,084,370,
523,923,126,300,241,912,393,616,585,982,567,293,146,419,388,317,713,326,426,
665,808,392,162,967,535,616,677,600,510,811,670,837,765,886,691,827,015,617,
828,075,446,636,253,873,428,669,225,447,510,046,424,788,671,904,081,011,872,
605,656,510,811,505,531,827,858,398,485,758,986,409,470,813,729,632,578,161,
057,822,924,760,814,394,091,703,445,829,748,751,354,412,804,248,586,800,755,
194,910,641,888,968,935,742,636,940,378,613,823,806,564,002,786,904,614,481,
179,928,626,464,228,443,545,293,916,891,572,864,224,887,851,117,089,252,292,
897,538,828,669,572,358,381,933,645,315,890,261,916,272,847,839,805,649,556,
364,855,998,772,563,455,339,721,422,629,188,890,012,243,408,953,138,435,211,
344,912,013,831,289,462,763,858,698,654,895,267,809,359,722,447,689,243,992,
547,220,492,722,401,406,815,201,998,330,241,754,087,498,717,141,687,231,443,
185,397,817,904,118,347,639,312,372,243,899,841,669,118,531,377,803,861,766,
113,538,564,383,070,734,685,128,105,038,543,878,219,434,821,164,068,288,703,
274,620,922,444,022,299,593,146,557,453,670,124,409,825,981,293,247,971,009,
517,507,063,810,240,019,734,190,879,292,636,333,138,527,153,872,186,942,522,
706,534,874,508,817,833,806,615,322,231,651,653,185,911,546,538,755,229,266,
340,441,294,404,179,719,508,732,583,554,426,410,367,687,687,438,884,406,507,
143,567,676,166,643,315,508,476,239,029,217,756,450,969,058,879,121,174,599,
301,890,234,161,451,599,252,024,614,622,084,165,212,073,892,047,858,304,701,
056,480,829,732,020,073,508,635,874,089,736,875,821,382,840,393,514,222,260,
494,126,946,299,751,430,518,756,271,830,677,656,882,790,502,432,258,542,521,
378,409,455,553,086,450,286,039,681,475,136,078,720,839,072,369,863,591,314,
028,554,783,058,476,761,932,483,057,296,584,852,443,362,302,482,783,471,503,
433,168,685,837,582,452,078,332,481,541,295,916,883,551,750,929,140,233,169,
939,773,624,156,089,656,809,196,540,124,192,468,307,202,213,600,251,377,020,
982,492,833,625,804,519,292,038,579,562,623,690,240,736,034,988,525,366,159,
088,541,506,471,905,682,965,531,855,045,301,151,294,129,306,848,377,449,182,
731,806,535,619,267,894,941,392,845,431,738,239,567,118,692,646,585,356,486,
070,468,914,618,398,285,099,990,036,993,310,645,629,215,297,718,383,030,467,
060,589,994,045,373,166,816,128,515,993,038,449,456,606,239,403,284,172,800,
625,424,118,687,676,441,757,174,644,609,058,991,170,809,548,456,289,052,656,
841,189,011,465,038,050,059,585,628,858,026,063,556,745,830,062,364,223,971,
714,336,451,587,991,563,588,245,818,291,868,370,565,781,416,778,304,180,762,
581,077,292,907,490,186,243,327,144,948,719,277,394,595,936,845,742,551,594,
046,102,243,934,072,298,051,117,246,602,284,904,963,228,477,462,379,655,803,
773,613,214,749,684,018,109,255,264,343,176,754,762,177,673,375,592,319,265,
006,999,121,235,558,645,556,234,533,177,237,424,190,476,774,248,846,073,283,
405,963,370,117,620,219,916,805,323,465,030,337,679,343,317,148,571,695,935,
658,450,001,855,101,628,423,512,068,036,040,562,769,822,144,211,210,907,948,
017,590,485,232,744,796,260,935,836,197,824,313,089,471,428,013,656,134,778,
737,552,041,272,852,184,668,388,565,200,838,844,836,449,602,661,122,330,465,
248,130,114,899,329,602,824,257,143,935,099,310,351,358,965,306,365,050,789,
980,650,351,716,159,817,001,103,715,971,626,560,836,058,733,868,499,963,049,
419,924,349,004,816,958,181,680,617,917,893,410,020,501,541,898,095,812,647,
982,313,136,288,357,347,478,223,741,342,669,126,099,329,108,657,945,979,890,
061,555,073,462,185,177,950,521,942,058,028,754,834,168,751,818,724,133,761,
238,868,357,960,417,408,780,054,352,389,743,597,776,898,741,486,007,869,329,
264,667,064,836,511,401,818,285,174,974,482,384,892,227,373,213,903,933,158,
827,615,123,492,127,135,682,654,759,655,606,068,055,475,920,822,108,228,591,
049,255,915,517,931,469,862,004,934,859,015,957,637,185,128,794,348,861,758,
477,097,939,441,967,732,149,943,633,900,189,397,915,649,269,674,995,544,645,
395,910,544,333,074,882,500,857,673,767,731,894,726,480,350,629,482,845,014,
986,652,100,901,487,567,334,964,144,779,496,228,341,593,648,577,639,181,484,
411,670,185,772,726,023,845,496,165,616,128,678,299,010,846,161,273,003,293,
118,052,197,988,925,611,063,914,495,070,689,590,338,853,244,760,800,449,030,
933,010,735,066,274,708,730,642,322,159,919,528,011,996,784,519,242,018,903,
283,581,771,799,795,793,819,326,987,065,652,718,712,865,948,891,496,336,093,
184,070,495,746,240,953,393,599,211,864,092,845,840,283,498,161,727,576,135,
292,637,578,038,566,115,489,517,906,353,517,023,670,440,176,641,770,811,872,
028,692,066,859,171,659,353,550,390,529,934,469,171,650,292,856,774,999,515,
436,511,552,915,287,090,075,384,580,947,593,186,584,823,144,014,440,838,876,
077,964,738,065,431,732,221,893,704,103,669,794,729,803,878,130,963,213,459,
281,233,251,264,402,683,714,750,266,628,458,600,819,927,875,866,843,259,914,
255,806,753,743,460,532,903,523,114,151,817,786,534,343,884,956,351,066,938,
665,185,732,618,520,831,472,618,045,076,717,827,603,444,513,313,191,505,399,
856,877,970,933,936,110,807,792,096,318,540,595,614,013,538,466,004,401,962,
150,340,935,646,962,512,410,884,895,949,426,616,695,878,191,073,704,452,538,
780,386,903,798,774,607,059,167,528,001,468,034,415,459,765,185,866,377,944,
237,029,326,575,757,285,601,753,349,563,458,513,988,006,201,684,429,118,946,
775,460,171,925,277,753,961,816,926,398,117,572,876,523,525,287,926,471,346,
738,218,232,551,424,357,551,110,897,156,097,496,786,084,325,145,693,528,769,
927,954,198,427,002,610,547,013,874,129,684,123,956,381,074,105,273,347,349,
668,604,467,705,157,567,899,360,525,907,587,856,413,338,737,946,728,452,482,
583,160,459,535,002,188,000,941,168,737,551,991,798,885,454,562,506,649,627,
376,188,059,567,699,674,932,032,629,706,112,015,356,574,259,115,985,635,758,
743,280,938,538,350,467,870,963,520,227,832,821,138,324,949,213,786,752,947,
382,008,413,065,687,751,835,194,309,867,325,264,892,840,175,856,125,833,611,
006,226,713,843,545,787,128,580,222,169,539,693,968,412,014,356,644,970,988,
546,942,370,306,744,584,594,521,047,699,232,784,714,552,251,399,243,762,531,
733,429,622,664,342,959,068,406,391,100,903,713,545,120,383,124,790,381,187,
161,438,679,616,620,309,720,917,507,364,819,819,331,253,023,940,017,068,093,
580,401,779,312,806,482,466,745,186,546,927,772,555,719,912,932,650,995,264,
928,805,406,905,469,910,432,394,729,172,911,437,440,195,835,886,318,720,841,
771,546,738,664,424,907,438,587,570,656,002,569,877,278,056,096,504,393,661,
982,379,844,604,797,515,284,001,857,182,865,185,534,338,857,267,382,173,616,
713,361,331,736,627,417,858,622,127,085,145,106,384,087,461,287,232,579,878,
135,347,868,344,892,882,068,515,842,924,593,630,063,596,658,197,627,718,338,
088,619,332,861,670,360,319,457,280,873,822,566,209,621,156,572,729,016,007,
515,576,893,900,960,403,565,313,709,654,815,291,448,624,888,159,610,306,021,
514,950,593,330,325,400,070,376,867,641,471,585,405,371,332,479,423,382,849,
467,002,922,838,375,572,812,234,176,404,838,053,374,317,161,051,872,804,022,
359,688,955,392,620,273,604,112,263,833,527,061,471,024,383,976,106,096,929,
698,183,386,537,111,347,198,461,940,087,465,745,513,275,919,429,580,595,299,
312,125,447,084,124,575,607,528,254,401,744,912,019,180,175,382,919,608,978,
399,153,799,431,929,830,643,444,525,969,098,987,670,432,947,924,071,710,068,
726,749,847,777,414,376,133,486,140,210,271,408,648,436,570,677,437,431,790,
498,014,894,146,801,136,951,588,542,337,324,513,912,008,622,020,523,238,321,
425,589,772,784,176,502,227,521,993,755,812,131,280,859,622,108,978,398,109,
286,628,262,912,092,731,606,900,193,278,612,889,550,589,584,107,254,749,751,
183,659,365,671,712,983,976,809,805,296,436,058,017,844,486,438,960,639,089,
705,127,560,259,269,966,813,644,247,868,766,302,740,088,877,726,570,014,597,
015,706,482,555,866,301,695,747,961,903,478,545,610,253,021,851,348,363,214,
943,453,837,275,430,405,503,956,037,841,712,312,398,104,509,221,481,930,422,
593,625,048,660,044,771,317,505,418,062,620,767,040,324,993,262,688,876,992,
906,645,459,884,199,749,446,927,476,351,614,931,079,345,087,011,889,576,730,
557,381,286,295,813,806,224,412,353,313,278,600,224,594,940,743,263,183,827,
462,847,723,759,645,437,419,606,559,248,416,269,567,473,755,339,477,444,331,
666,021,861,038,648,834,383,024,607,062,116,707,813,584,109,819,186,866,044,
072,954,005,462,239,821,451,639,281,690,759,471,552,662,340,777,488,337,854,
631,964,572,156,010,024,580,050,699,555,664,155,059,501,092,922,502,316,027,
569,063,269,250,186,645,451,190,715,758,489,333,350,621,948,748,814,332,915,
042,739,514,541,972,812,187,760,287,631,647,458,596,950,206,613,708,632,921,
858,825,267,006,450,332,734,896,099,149,415,918,003,667,951,141,132,546,705,
269,897,892,692,437,640,238,327,831,476,809,654,858,360,957,154,464,448,882,
368,267,093,447,661,183,906,576,906,838,029,518,122,071,182,953,823,391,677,
857,050,589,841,700,532,480,512,859,930,235,874,910,689,673,113,964,376,132,
184,388,496,962,309,155,652,577,485,289,966,293,368,142,592,432,035,499,777,
036,699,187,844,781,701,344,651,578,697,264,674,826,732,484,553,656,844,227,
359,035,428,099,257,747,927,898,727,327,084,332,495,442,360,789,914,623,700,
520,453,246,715,232,219,896,858,929,851,152,238,925,442,544,734,532,923,764,
415,345,195,799,960,360,928,207,600,244,682,034,338,418,526,008,823,274,130,
523,107,756,441,596,844,445,276,822,479,876,125,803,333,502,843,981,635,922,
279,240,849,106,523,583,573,245,313,254,823,171,701,106,861,346,805,659,532,
943,200,427,864,234,262,789,542,407,563,484,253,368,074,562,707,648,672,411,
706,067,439,759,587,236,487,303,140,397,608,762,077,516,819,961,125,025,696,
113,470,890,479,563,369,819,312,002,969,164,119,219,462,911,441,170,557,764,
806,714,577,800,781,715,850,176,159,105,757,476,115,006,331,355,322,293,366,
637,497,212,375,805,995,086,354,455,428,663,881,342,992,570,326,116,780,798,
983,438,769,386,699,194,209,515,044,745,401,302,284,118,654,883,044,855,051,
448,362,387,092,019,437,434,430,655,252,068,585,978,020,843,441,274,042,963,
366,803,988,647,184,830,963,921,833,165,135,962,681,780,281,903,544,163,549,
597,588,247,020,164,523,319,569,207,774,098,061,708,714,242,163,347,361,403,
219,523,671,931,726,215,535,903,871,886,684,397,041,563,632,009,750,960,372,
385,228,897,787,391,847,104,801,880,477,715,423,228,294,618,983,484,951,841,
068,721,626,780,603,002,232,283,659,123,478,695,363,208,148,036,741,619,982,
192,917,402,477,318,953,759,419,866,610,044,912,939,788,479,330,676,234,770,
940,191,880,950,493,681,530,843,566,436,169,627,373,392,055,401,260,685,726,
481,937,331,010,583,800,576,625,842,839,148,300,456,268,903,200,824,290,770,
425,661,450,569,105,585,815,122,117,279,978,450,803,111,160,381,374,209,320,
684,456,941,384,299,992,395,784,857,598,090,605,678,131,529,231,316,396,775,
191,167,662,295,096,533,943,184,466,664,706,636,336,827,858,799,188,913,131,
058,784,516,855,423,219,650,753,996,454,368,979,719,464,342,866,151,844,045,
878,546,684,084,790,488,185,569,842,507,436,860,500,697,734,134,500,438,060,
233,735,037,613,334,959,807,314,101,561,448,219,268,907,810,332,352,385,627,
674,895,303,409,462,839,301,922,381,184,379,334,477,055,831,643,224,930,480,
008,295,946,441,163,714,852,635,837,643,632,153,827,375,831,737,783,874,647,
431,808,799,173,192,726,975,068,179,109,350,251,317,560,189,601,349,674,640,
308,558,021,952,747,792,517,814,250,201,146,852,834,130,303,651,094,718,192,
346,664,120,795,486,178,076,314,441,898,984,473,426,547,373,813,231,347,783,
279,036,802,665,207,125,761,507,408,272,524,980,434,345,970,244,738,981,629,
083,585,454,122,314,525,667,017,801,583,516,988,495,092,327,220,098,547,168,
968,572,796,130,095,452,961,744,853,015,183,270,155,314,361,598,013,214,593,
881,794,408,850,515,608,242,550,760,703,658,673,199,196,533,210,754,602,710,
792,688,604,655,997,570,411,049,528,417,416,902,328,292,552,875,893,336,401,
103,173,165,433,544,654,733,636,076,678,114,014,142,409,816,540,984,655,607,
957,600,193,317,921,185,939,240,542,818,694,561,929,127,669,752,818,491,217,
722,173,954,074,473,338,931,797,747,898,205,015,677,036,109,573,845,379,943,
645,760,719,738,004,082,535,580,533,496,401,452,593,700,478,400,442,835,239,
956,420,499,143,460,932,134,481,765,533,385,354,822,634,396,836,566,816,693,
635,898,087,593,461,518,557,532,866,510,562,036,276,800,305,083,321,416,180,
131,391,578,610,087,707,114,892,032,093,634,888,633,803,211,980,299,805,544,
005,965,234,654,876,050,253,813,987,362,492,888,352,334,974,279,032,115,988,
568,504,899,641,156,465,754,703,626,646,181,958,584,732,412,616,531,727,239,
278,573,557,963,032,494,838,832,542,238,165,847,890,736,531,164,291,468,341,
915,298,494,400,074,786,513,332,603,839,615,177,081,385,201,224,440,366,556,
635,622,548,801,496,662,777,056,617,293,845,684,687,943,093,316,912,617,350,
947,453,203,345,913,312,027,719,692,797,696,106,568,267,988,263,946,403,406,
900,747,177,528,562,509,405,322,710,718,023,344,374,369,213,439,683,654,314,
134,149,361,121,635,055,767,665,799,897,158,815,101,124,439,876,193,541,600,
200,228,110,171,311,996,875,894,712,295,833,007,088,323,290,085,247,719,720,
617,240,029,356,800,262,739,057,234,869,635,075,349,806,524,349,279,888,728,
809,365,824,971,061,644,853,032,659,074,442,469,274,124,112,248,503,088,445,
079,290,038,571,074,206,732,698,138,808,718,418,280,265,502,126,903,216,345,
027,735,197,989,757,274,474,340,979,326,731,478,550,717,906,463,086,224,904,
501,395,931,770,786,608,036,937,628,959,025,731,169,173,733,886,710,476,872,
528,363,296,698,796,579,486,342,576,912,585,538,913,147,199,346,397,626,877,
601,970,293,539,551,887,554,085,090,402,487,281,355,742,971,700,559,860,179,
970,155,273,922,272,627,496,748,426,709,190,429,333,328,264,753,482,222,958,
679,468,770,320,297,457,851,257,605,627,654,435,570,499,342,493,604,930,288,
256,683,847,886,803,069,475,476,080,400,662,196,510,750,745,612,346,069,951,
134,332,728,957,966,713,544,541,944,507,401,779,383,647,290,966,186,766,887,
920,009,535,338,778,858,035,984,083,192,045,195,621,597,533,917,954,271,871,
801,075,570,355,254,561,887,504,181,212,387,141,535,061,256,602,453,106,735,
042,030,777,003,659,014,943,839,468,144,805,328,172,467,240,264,827,584,829,
936,674,178,402,918,649,435,730,459,359,025,361,516,022,664,115,037,396,610,
421,924,986,680,009,959,780,003,640,842,099,414,231,156,085,946,377,677,959,
797,675,367,982,445,894,379,868,478,409,339,822,050,300,653,169,606,007,917,
255,591,256,501,533,547,739,627,629,983,285,608,093,014,745,546,547,407,377,
683,146,688,975,069,193,188,836,273,083,910,723,456,711,362,462,814,672,075,
314,772,654,972,679,812,420,984,362,264,859,877,373,398,255,307,626,945,878,
533,441,605,011,636,182,968,685,262,979,246,434,008,319,917,580,964,455,820,
750,456,132,187,378,966,174,654,192,075,794,554,883,990,998,551,336,210,406,
928,268,767,467,107,857,110,717,341,118,864,635,664,295,462,191,969,534,127,
741,285,047,038,110,571,867,000,733,411,696,415,436,940,188,960,096,481,029,
668,648,633,965,208,783,447,300,259,154,757,172,935,774,177,550,339,847,637,
789,874,028,037,296,719,470,376,143,868,182,724,021,554,998,736,097,781,447,
164,666,585,524,905,081,446,190,070,051,835,752,165,027,062,629,514,833,901,
370,799,378,150,390,541,788,682,714,020,226,053,243,867,651,459,562,590,770,
159,646,967,582,276,799,503,045,263,339,596,012,966,289,718,032,294,762,892,
785,994,801,237,239,274,685,220,929,766,867,373,931,644,569,981,495,678,010,
381,554,604,353,611,316,764,994,597,974,046,270,287,433,973,598,069,902,354,
496,099,334,950,327,542,960,775,022,383,214,190,116,531,442,057,784,012,898,
074,923,976,376,251,183,520,328,319,920,945,234,196,382,949,670,206,590,603,
576,967,308,070,730,153,319,551,808,373,490,206,766,640,128,332,117,928,990,
982,109,080,395,994,748,809,414,634,517,361,684,082,140,864,283,697,953,653,
633,366,142,835,055,698,869,411,145,216,929,806,811,039,394,293,847,262,404,
686,671,261,539,403,118,023,768,496,905,770,070,685,456,435,235,334,945,172,
190,125,911,125,209,361,029,215,075,592,196,248,545,584,818,115,445,445,183,
079,453,958,929,155,468,826,724,147,624,385,545,669,116,640,365,430,245,031,
484,611,205,808,601,708,367,542,570,590,273,364,518,473,063,603,969,420,012,
728,407,627,769,400,415,470,792,732,730,808,542,425,663,701,534,607,304,763,
337,200,131,203,102,565,521,725,644,104,566,153,106,384,463,363,301,238,985,
045,521,213,246,851,445,127,403,166,705,987,475,977,118,167,385,951,020,321,
349,322,340,786,364,676,333,494,735,025,332,920,682,200,212,145,583,704,968,
230,246,213,653,177,842,489,500,902,429,581,956,258,747,813,441,136,739,451,
024,879,853,913,464,270,998,240,076,949,900,807,239,796,156,519,667,105,519,
528,363,597,957,754,920,511,544,744,932,517,624,373,289,547,483,916,363,356,
352,895,107,391,527,922,795,757,014,490,961,394,110,534,088,119,226,185,211,
925,215,140,638,845,808,262,068,695,956,314,507,445,190,339,159,770,825,579,
877,486,436,271,548,440,772,538,220,734,719,366,308,316,686,541,575,548,524,
674,313,090,368,911,729,421,239,057,213,452,964,032,603,642,240,394,376,598,
019,100,290,540,424,125,262,458,315,877,892,949,855,185,521,064,791,885,833,
050,952,518,381,203,176,580,083,210,397,518,843,086,383,062,141,821,898,694,
841,113,828,576,904,346,529,631,570,350,013,117,078,549,298,472,731,106,800,
677,930,558,462,616,794,071,321,764,950,071,199,611,284,251,339,358,776,621,
966,095,813,363,683,608,541,179,208,720,417,059,445,835,562,565,871,719,873,
604,550,875,119,678,694,609,746,489,635,062,158,788,023,676,375,992,444,624,
337,988,207,959,421,658,435,585,847,664,284,176,264,165,577,998,676,748,629,
139,350,839,946,659,322,067,832,909,801,811,510,361,884,848,452,765,071,140,
817,718,771,089,722,788,786,027,774,939,237,245,123,220,403,992,516,278,251,
299,057,934,644,485,025,973,834,850,547,253,555,309,070,943,139,179,294,572,
589,366,770,966,315,549,750,193,642,294,084,661,257,397,693,536,108,506,957,
638,987,221,626,918,825,581,161,874,041,122,273,071,025,021,217,351,756,345,
909,643,977,676,042,374,730,362,214,607,740,677,977,846,117,251,299,908,069,
364,536,885,882,033,928,401,706,588,122,169,918,495,901,425,489,795,917,497,
994,339,118,160,036,932,990,817,691,478,204,967,040,474,654,787,951,989,116,
815,093,988,950,571,901,761,533,855,637,744,655,278,721,065,216,951,575,163,
360,094,358,250,238,655,209,903,020,930,961,350,163,685,387,741,016,641,697,
548,425,275,974,819,264,427,985,566,835,666,297,459,885,278,397,475,186,528,
634,174,676,755,632,451,608,212,329,845,553,236,623,473,766,987,152,985,685,
709,037,321,743,595,173,437,647,976,172,236,781,184,082,999,165,723,958,273,
597,637,497,646,303,737,577,384,214,634,941,100,344,430,314,698,592,517,754,
907,055,833,775,609,253,272,441,726,119,537,583,803,423,800,532,625,529,408,
324,778,025,487,882,367,190,668,034,413,231,630,706,857,534,727,970,597,942,
845,887,272,008,489,057,638,375,142,668,141,629,972,617,551,649,263,830,377,
357,539,331,919,735,805,470,672,383,323,563,673,766,169,444,907,463,571,439,
275,529,715,423,574,231,733,001,322,834,121,547,188,871,820,463,234,479,619,
532,968,304,574,538,668,892,781,845,495,988,471,523,660,133,844,798,200,693,
106,746,160,793,638,561,485,948,994,569,467,066,902,646,049,925,909,023,634,
682,481,510,139,383,643,812,464,848,291,244,495,621,699,118,419,178,090,838,
490,610,387,846,782,851,747,699,966,051,057,556,365,260,589,987,235,706,900,
044,840,705,287,676,870,534,785,253,905,301,273,895,568,672,867,202,180,213,
849,449,580,368,099,219,025,519,940,375,699,952,983,249,071,724,908,935,323,
175,306,890,147,491,272,794,172,984,881,769,912,243,839,489,990,003,742,695,
196,889,612,907,455,488,007,243,299,747,190,710,792,507,262,811,134,218,466,
719,863,911,773,705,390,997,595,334,983,722,359,790,814,021,074,844,037,540,
084,871,302,872,196,624,646,190,171,915,520,944,252,542,406,382,104,660,003,
839,155,083,555,581,517,237,154,569,302,878,916,166,292,095,031,760,320,214,
955,153,995,877,538,191,397,840,719,439,446,208,278,905,243,382,263,031,745,
301,437,853,309,886,600,613,498,054,996,348,775,037,784,414,276,522,163,888,
851,586,363,837,632,289,078,021,908,984,831,660,070,567,590,688,112,946,208,
952,176,727,922,888,987,670,828,553,790,289,071,019,251,331,135,580,337,135,
920,947,624,950,173,654,069,736,569,720,186,865,946,796,134,748,647,331,070,
798,828,060,525,126,718,962,714,425,849,404,382,891,835,629,238,991,891,401,
187,326,745,398,939,244,592,836,463,490,639,461,715,320,288,402,117,262,393,
919,147,403,049,477,554,598,627,287,988,543,888,098,443,731,321,587,342,662,
080,690,105,404,066,996,237,991,981,922,669,212,244,844,204,021,079,437,266,
681,982,085,850,016,644,067,847,168,578,847,705,738,783,866,987,632,507,711,
591,735,084,092,056,606,398,031,013,625,348,646,207,585,498,516,384,911,028,
423,661,492,437,698,727,346,134,001,601,201,505,445,994,646,174,859,923,307,
862,456,086,643,339,126,945,707,698,860,564,076,119,973,178,322,253,686,388,
682,119,020,051,161,641,307,054,320,083,970,975,809,420,793,904,402,512,967,
861,302,915,520,122,871,774,493,800,190,772,708,956,776,143,147,214,310,969,
723,155,111,408,946,378,339,407,198,867,071,013,954,828,126,618,234,365,615,
622,121,133,029,845,439,539,884,931,983,148,500,142,623,540,130,103,251,390,
214,033,780,861,603,842,615,772,464,847,770,934,615,352,346,025,657,468,246,
669,644,069,331,564,474,525,340,675,106,197,948,754,794,751,392,840,066,222,
570,764,531,941,430,777,205,163,766,646,394,642,969,512,894,421,024,615,703,
515,256,885,020,586,887,701,179,877,149,915,934,255,296,508,598,489,545,096,
802,107,832,560,137,212,350,884,113,229,937,419,793,933,556,777,491,405,519,
013,160,806,647,493,075,575,140,303,032,318,448,134,631,787,275,677,757,186,
000,732,315,987,989,515,669,871,393,800,756,291,612,151,881,561,152,121,453,
971,427,530,911,210,642,026,839,842,153,578,019,125,580,276,058,390,804,650,
576,174,232,235,569,538,178,767,103,911,683,909,463,475,768,109,146,725,598,
207,681,446,769,426,561,624,429,752,908,817,371,708,813,871,431,828,295,119,
419,413,347,491,669,465,991,214,412,831,088,684,901,488,416,602,576,590,770,
563,691,603,797,181,548,162,538,859,729,068,534,699,831,429,769,346,688,810,
289,422,964,032,391,490,155,560,392,774,870,499,601,194,559,927,946,678,910,
114,106,246,131,702,035,466,062,309,937,569,503,651,358,088,551,058,413,239,
900,820,755,841,142,001,186,910,164,880,177,828,842,368,024,513,480,130,771,
265,909,754,470,333,062,911,944,066,241,384,686,565,501,254,986,054,564,023,
261,510,799,808,726,537,756,879,673,939,760,777,552,225,893,671,112,443,048,
667,155,106,396,613,038,377,689,589,630,891,809,850,623,964,251,055,139,663,
443,706,646,190,536,242,531,049,485,143,231,485,551,421,380,720,517,502,564,
481,730,929,376,852,583,681,111,011,367,865,871,717,042,333,738,526,930,731,
697,268,808,724,138,695,689,181,374,737,998,768,494,493,028,230,555,988,686,
038,053,840,038,731,297,208,931,101,115,075,198,502,354,000,527,186,634,472,
084,069,576,523,635,566,111,045,840,347,441,977,185,641,491,582,360,503,595,
235,589,106,190,122,200,241,262,032,394,962,509,041,475,829,541,119,785,417,
526,474,404,999,265,923,369,476,591,504,268,759,573,483,499,275,229,499,799,
182,382,597,533,688,975,006,030,174,532,367,607,086,123,859,990,039,526,702,
514,641,648,879,872,063,993,549,813,857,451,339,627,871,906,997,841,703,628,
418,133,049,575,045,931,926,157,278,368,716,272,137,933,133,507,328,803,022,
320,591,862,776,901,143,239,779,374,779,191,733,005,914,700,647,345,072,818,
660,029,731,250,964,284,148,803,792,833,416,416,457,529,393,832,423,244,340,
869,312,108,224,827,895,222,057,919,016,416,628,410,874,598,461,469,482,892,
664,980,243,485,344,099,687,492,697,678,205,747,624,422,872,965,116,440,902,
181,179,332,085,832,279,053,261,406,776,867,063,746,318,577,741,318,334,040,
844,739,345,384,232,302,864,813,513,119,189,787,891,321,691,401,372,420,256,
588,167,787,481,735,110,888,092,640,233,461,288,522,886,055,030,355,642,841,
329,810,829,981,595,115,357,915,375,451,551,760,421,820,191,730,350,214,051,
291,419,457,973,634,737,439,132,854,804,052,999,090,122,678,188,818,512,035,
751,475,815,054,890,648,318,332,642,558,929,743,482,260,421,148,906,168,575,
714,574,639,361,309,272,383,254,449,792,912,913,900,305,900,575,209,744,726,
353,827,299,787,012,685,950,012,612,268,727,253,860,539,204,482,348,523,963,
147,019,214,671,345,011,860,173,192,194,599,273,320,178,659,886,066,586,430,
325,498,583,795,130,515,948,380,999,532,022,092,265,766,087,782,947,557,767,
120,199,829,821,914,215,643,164,860,936,849,496,538,115,166,694,359,969,756,
479,570,654,516,381,002,311,301,915,274,103,380,844,627,501,076,262,318,272,
896,136,421,819,354,088,264,414,788,487,574,775,221,422,800,836,687,398,498,
852,382,770,671,701,529,108,115,995,526,478,276,670,817,573,798,413,625,592,
479,720,027,730,452,978,454,223,754,069,716,708,271,561,466,970,247,565,378,
229,009,421,825,766,302,972,898,384,963,817,592,521,769,738,011,279,550,325,
838,896,529,175,249,434,247,907,013,565,229,537,173,566,982,233,919,328,332,
356,980,218,192,773,500,027,724,768,900,198,535,631,395,384,325,587,921,068,
601,609,780,854,299,610,496,070,234,650,209,842,887,583,211,433,524,168,207,
324,599,981,970,452,534,235,853,687,633,046,949,527,505,132,069,294,734,196,
148,513,839,059,765,636,060,920,109,564,177,008,315,857,621,690,063,214,079,
732,035,252,211,673,412,556,052,835,980,232,244,776,620,489,620,173,936,680,
043,517,925,264,365,198,355,351,485,384,153,861,447,023,659,687,339,538,748,
526,163,036,192,541,372,770,960,376,260,595,748,017,165,992,100,972,017,997,
313,619,045,547,878,299,957,990,690,578,395,580,356,380,240,232,665,266,625,
283,325,373,478,877,329,366,421,648,086,904,399,301,757,116,536,188,968,515,
768,480,524,602,617,286,336,959,164,452,279,714,708,816,115,891,848,364,362,
769,356,218,115,605,113,171,869,947,882,118,789,439,378,387,971,838,002,398,
582,356,428,674,333,553,314,141,772,206,670,380,440,050,864,746,049,808,506,
445,146,384,396,330,419,285,093,665,088,814,349,249,127,423,362,932,463,211,
074,867,679,002,399,184,401,505,877,508,834,304,863,506,290,903,092,942,112,
272,448,037,866,060,620,324,087,255,711,035,386,902,329,617,694,716,400,039,
567,442,812,135,907,394,447,467,474,575,049,800,031,435,083,979,654,265,355,
199,050,308,822,613,096,209,656,635,436,635,418,102,765,513,433,681,727,752,
897,628,958,012,540,844,871,143,968,895,608,758,600,914,270,970,883,516,800,
938,895,684,805,023,235,436,207,546,900,998,843,415,249,962,113,513,109,868,
716,745,338,387,690,382,394,938,012,259,362,266,131,476,631,069,913,896,571,
562,417,630,642,430,593,437,366,559,438,326,385,719,663,941,969,597,202,364,
327,929,866,612,650,219,450,457,774,446,445,346,616,830,876,825,224,897,362,
915,300,440,744,052,505,090,662,839,201,840,446,446,964,173,382,072,072,617,
918,058,097,975,625,961,981,581,543,994,464,660,961,472,199,871,561,990,960,
586,978,711,511,114,979,065,552,796,337,435,849,561,886,689,026,411,557,859,
068,613,227,966,576,578,887,737,845,322,054,170,540,665,105,591,231,476,593,
066,736,938,781,967,214,594,643,819,955,497,640,109,619,656,618,140,185,889,
760,720,522,670,624,938,960,082,401,554,046,530,811,852,784,982,259,448,919,
353,845,751,950,863,523,142,384,686,992,216,669,664,920,563,745,625,268,591,
559,393,106,721,106,533,467,069,953,127,357,702,304,345,200,526,296,994,942,
508,293,343,164,603,634,389,792,185,428,505,797,212,876,500,377,744,597,804,
094,727,935,998,654,798,548,468,508,063,403,254,712,582,728,619,625,860,376,
331,788,480,297,212,494,518,969,104,094,809,303,484,517,746,437,839,630,787,
775,304,001,418,696,296,680,814,048,894,311,891,847,536,526,284,289,407,013,
818,500,625,062,498,309,470,313,268,461,707,495,614,132,885,951,757,049,776,
709,513,554,044,888,101,844,368,907,793,119,317,557,073,577,294,388,865,164,
373,081,769,804,733,332,483,756,183,569,333,624,867,465,265,033,093,317,442,
154,691,210,465,807,839,393,393,279,520,876,086,071,329,770,342,919,452,380,
537,586,417,225,443,196,812,001,779,036,635,942,425,862,185,116,595,196,141,
542,074,344,964,714,611,714,972,856,172,110,102,121,766,137,902,164,741,372,
792,580,719,046,950,120,266,946,250,254,398,075,918,256,482,934,247,062,792,
906,076,392,425,018,997,364,837,606,024,863,793,772,047,468,935,617,695,555,
094,147,634,917,101,892,273,594,017,742,977,957,356,026,251,130,085,898,212,
016,033,086,897,165,095,748,468,796,848,363,089,828,583,378,378,004,069,984,
904,662,748,762,243,890,485,145,795,160,905,512,641,472,693,581,378,584,833,
453,145,564,575,095,082,234,185,627,209,646,107,271,520,234,069,546,121,682,
201,280,625,445,177,810,518,423,532,793,277,443,203,793,792,758,104,037,485,
157,444,454,934,124,164,382,980,762,128,809,336,308,272,861,676,029,819,092,
048,354,305,314,209,762,863,889,860,979,857,940,931,503,713,873,449,093,109,
051,997,875,738,347,271,634,668,821,256,220,192,335,038,671,502,188,072,999,
195,814,255,967,885,614,921,456,233,856,154,465,305,757,952,588,855,550,105,
801,192,936,848,349,476,918,834,534,652,071,439,970,236,916,698,955,328,169,
795,979,450,151,213,249,349,559,141,922,206,917,696,839,715,051,020,167,627,
735,541,224,229,323,741,951,458,216,385,867,649,623,823,203,076,596,554,280,
492,876,251,699,171,140,972,190,361,512,876,839,821,376,963,558,911,156,388,
142,700,522,262,637,162,327,065,245,277,779,888,710,500,145,819,513,215,216,
455,461,440,972,617,249,090,127,348,059,082,073,962,183,765,111,738,964,077,
150,568,283,741,171,140,991,571,619,047,759,135,087,087,350,662,184,449,391,
050,254,099,660,826,709,779,699,291,077,549,276,170,121,632,235,773,526,808,
851,008,317,095,978,296,151,203,757,964,192,348,372,816,448,068,438,730,791,
223,691,766,545,946,133,547,645,598,908,066,771,495,716,739,215,968,042,382,
491,052,363,790,249,390,930,093,635,285,493,518,099,747,070,159,220,193,107,
588,049,005,961,945,458,729,422,831,629,524,651,282,453,019,791,504,250,883,
018,187,191,661,618,095,063,633,833,241,437,361,484,125,256,112,061,521,883,
523,119,813,092,603,495,325,023,123,608,466,683,122,322,050,915,638,731,076,
106,856,431,704,536,122,794,080,662,552,029,144,352,778,196,773,265,520,692,
578,987,106,070,596,155,962,866,994,099,264,651,023,217,697,040,994,747,920,
616,617,942,562,118,317,172,728,437,404,719,249,254,158,351,246,627,491,954,
219,463,851,382,119,244,106,916,661,207,933,109,425,908,175,150,463,204,360,
648,275,072,229,166,859,483,727,523,071,760,676,961,997,053,005,452,726,657,
555,949,867,040,996,106,021,553,721,864,493,847,865,646,380,990,182,398,048,
366,569,877,367,029,555,919,409,065,620,581,723,332,956,294,038,655,188,186,
159,416,127,992,413,582,262,932,248,544,280,424,218,416,363,638,283,188,835,
028,861,829,803,787,502,517,543,702,903,297,343,361,591,279,798,135,739,226,
702,700,214,074,353,118,369,557,753,041,048,167,287,069,812,087,158,735,114,
355,054,057,736,967,461,612,433,875,886,366,870,988,072,086,378,908,433,265,
699,124,705,579,597,326,687,007,718,789,500,632,126,147,270,679,457,766,680,
512,642,035,960,476,392,516,835,815,865,829,880,798,355,245,302,176,380,880,
496,366,979,725,964,951,595,120,713,531,764,968,413,265,566,347,444,376,081,
174,324,250,118,753,752,403,245,288,283,164,033,851,724,360,831,635,301,740,
941,035,361,869,951,168,220,275,132,952,602,262,274,472,212,038,961,786,326,
472,148,106,037,742,619,442,461,935,509,222,207,016,942,947,881,973,583,703,
871,668,856,890,254,211,472,490,012,576,058,470,244,867,370,665,048,658,868,
985,497,469,490,789,768,989,972,012,443,947,572,156,324,934,063,848,236,428,
314,018,236,335,328,596,524,949,328,891,898,771,266,346,172,380,344,533,295,
692,224,426,528,346,130,254,158,084,642,927,272,957,262,545,143,541,244,969,
663,258,000,159,501,490,914,747,605,445,265,090,595,925,182,324,076,522,404,
443,430,848,288,586,870,479,304,860,657,245,693,220,436,037,264,319,585,479,
531,044,530,980,463,139,300,880,803,455,489,389,253,865,149,755,744,482,688,
078,120,657,918,884,699,776,064,696,180,886,164,391,302,911,397,416,434,441,
142,825,711,309,887,823,621,472,828,977,808,363,795,766,271,386,447,990,927,
828,755,299,362,893,559,234,072,438,195,897,168,702,375,154,052,544,978,260,
242,499,077,890,461,901,547,773,636,012,625,934,486,141,713,130,665,035,494,
713,451,407,137,671,574,845,230,803,789,995,127,262,755,093,841,342,039,674,
593,615,676,288,938,691,271,545,685,803,879,214,468,459,011,040,080,026,923,
138,949,483,273,402,483,095,481,775,950,212,133,822,507,395,130,548,395,237,
799,499,796,515,587,862,111,870,625,870,713,908,139,197,721,614,328,802,922,
983,481,917,699,597,297,817,141,813,369,607,203,143,806,587,158,095,338,990,
750,738,112,939,605,801,012,277,957,405,999,271,998,654,558,153,931,080,315,
795,331,773,064,218,164,286,562,976,368,056,935,116,353,544,255,496,158,353,
865,000,958,143,488,042,724,638,802,432,651,098,032,121,351,015,991,884,162,
970,662,947,273,843,702,199,856,134,808,334,168,101,194,948,030,474,519,135,
258,395,705,598,514,553,242,756,105,566,201,287,196,412,057,846,377,067,062,
907,179,462,235,689,535,991,917,507,205,194,661,800,624,058,404,222,426,936,
606,375,885,102,194,405,404,455,211,740,837,046,905,218,529,140,115,821,862,
483,473,579,730,901,125,172,248,423,882,870,817,241,520,530,333,217,279,815,
055,088,717,353,601,901,530,544,577,136,272,091,982,382,650,326,177,477,426,
018,938,566,820,409,096,576,885,278,476,411,515,208,711,309,377,145,099,824,
658,123,960,197,708,833,303,148,597,513,459,034,789,387,892,772,056,814,060,
412,711,837,121,469,276,566,278,789,871,672,728,981,370,229,267,190,579,923,
610,885,330,826,640,377,388,995,308,591,420,455,213,268,758,285,683,853,752,
479,025,664,427,051,212,776,849,962,626,180,625,753,149,774,966,216,316,597,
517,519,460,556,240,617,545,047,462,789,353,653,185,792,758,323,191,967,209,
919,688,280,692,101,689,756,800,682,076,791,300,310,533,312,678,852,965,286,
927,022,539,910,533,718,484,465,626,034,551,046,640,337,010,507,776,941,756,
626,201,439,033,797,501,254,802,530,391,690,974,166,828,282,170,723,300,348,
474,462,197,213,812,113,526,912,462,788,476,059,393,368,819,574,847,180,402,
056,240,630,498,841,741,025,546,594,491,490,058,058,572,790,097,650,925,434,
929,637,474,306,915,901,472,322,589,019,005,843,544,297,977,270,176,308,186,
754,811,205,663,296,440,937,309,900,975,071,086,697,685,680,701,742,447,489,
943,040,201,566,967,734,352,645,066,803,552,119,986,848,170,353,747,450,979,
501,696,273,275,874,755,991,177,558,037,689,198,524,432,895,343,664,769,578,
767,093,124,205,105,499,512,796,858,908,058,811,186,985,303,201,966,710,544,
533,786,149,198,081,653,717,913,247,226,999,147,497,146,741,852,345,774,084,
038,767,162,442,226,993,655,437,024,275,389,917,910,213,301,695,794,494,054,
184,313,797,461,680,852,372,169,532,112,822,591,981,275,504,274,696,322,456,
539,363,598,941,427,405,735,076,828,998,708,369,354,996,026,279,363,549,648,
474,802,349,043,244,582,176,558,581,390,069,272,389,935,286,214,977,770,536,
156,163,101,555,498,555,833,501,129,889,780,451,174,986,379,633,049,183,573,
332,228,668,168,946,602,457,891,122,752,970,613,961,375,926,622,640,015,514,
613,961,281,900,309,111,895,223,945,823,064,431,026,443,874,499,528,307,412,
496,847,652,806,336,878,090,017,413,710,683,371,720,555,567,376,530,200,430,
452,385,417,032,950,458,137,526,419,779,304,926,618,280,215,013,088,931,691,
981,948,218,646,079,801,156,546,661,995,892,594,912,292,034,123,639,074,592,
074,420,801,684,323,423,352,262,896,122,460,342,649,039,929,319,506,775,426,
821,418,775,120,642,105,985,595,011,578,970,343,144,347,283,433,913,104,661,
690,951,363,439,063,943,842,282,277,868,307,598,324,477,647,620,419,003,382,
655,924,788,150,890,669,695,738,614,798,432,917,408,386,861,881,393,282,637,
883,185,626,304,558,678,885,196,321,306,960,501,790,502,071,470,845,242,965,
635,065,902,875,875,103,806,996,954,715,959,084,124,355,867,532,291,639,891,
729,246,378,600,574,886,186,227,909,690,219,028,660,863,866,770,878,292,015,
659,298,904,761,544,882,022,868,775,067,243,958,000,852,706,392,478,257,478,
861,828,354,371,781,989,489,088,706,697,270,063,798,956,293,618,051,063,771,
445,004,277,937,894,976,706,684,338,903,800,531,262,039,331,328,036,584,332,
922,260,202,302,511,601,248,664,755,793,309,770,446,457,300,249,958,363,787,
419,093,127,333,893,596,073,149,788,999,320,784,041,685,440,542,046,013,139,
252,186,448,566,440,481,570,534,449,641,639,329,247,992,783,603,510,970,665,
109,444,464,655,492,571,100,167,315,485,829,711,848,757,341,172,461,800,505,
923,115,765,579,073,650,972,952,354,024,409,068,001,627,260,165,796,596,122,
333,493,729,439,323,966,132,012,133,946,228,209,910,312,293,814,710,697,982,
620,322,011,577,557,429,596,698,247,185,384,375,941,072,337,270,312,423,831,
497,506,278,765,212,301,791,815,187,303,102,894,055,315,678,274,160,881,689,
451,991,705,302,462,068,935,920,377,045,713,532,033,117,247,933,540,939,570,
032,695,781,062,415,020,865,303,303,674,720,140,967,006,183,672,890,431,724,
885,360,039,670,889,837,788,174,672,694,665,295,308,622,146,638,042,211,688,
818,891,301,338,799,554,097,090,082,228,690,565,765,500,191,415,346,380,196,
234,689,960,424,574,432,999,218,528,032,789,077,967,009,925,623,247,056,811,
324,177,234,783,384,234,966,155,588,620,212,570,332,941,955,038,253,801,832,
176,386,582,321,412,583,144,658,926,473,361,289,948,003,702,679,990,763,550,
121,866,226,341,542,591,418,035,670,981,508,719,615,968,520,063,055,713,868,
890,403,868,085,061,243,589,091,404,265,635,607,562,130,756,499,280,030,110,
593,364,298,710,747,841,518,117,698,822,593,722,044,799,496,195,655,150,296,
348,291,989,898,429,279,987,619,444,485,020,675,209,561,150,492,127,655,541,
065,196,672,421,534,889,600,462,577,806,788,036,056,179,617,933,382,575,378,
193,831,800,043,162,788,977,787,193,486,087,701,989,339,554,366,273,083,905,
492,281,190,008,546,748,462,921,702,445,546,333,386,389,820,225,066,455,057,
957,951,161,085,225,768,505,409,747,710,191,130,808,365,830,220,214,389,764,
502,077,725,630,242,610,481,331,182,003,752,818,577,185,779,706,244,393,324,
063,567,562,378,161,241,150,500,814,377,805,076,179,670,495,851,512,900,528,
636,024,844,281,402,539,573,481,225,636,231,496,370,662,079,059,266,406,809,
904,125,889,791,434,480,794,419,620,047,731,311,765,022,159,356,999,742,479,
361,384,066,193,111,609,585,091,889,472,615,888,775,570,252,020,584,887,716,
334,041,855,010,195,316,410,301,375,287,924,203,390,045,807,898,007,865,361,
510,135,399,927,451,276,664,483,225,000,067,028,429,425,743,888,867,667,297,
357,316,717,716,545,677,938,599,898,900,504,390,875,967,973,953,061,496,187,
507,779,318,181,825,035,380,646,398,340,551,234,549,925,789,352,734,546,865,
920,254,497,612,658,978,331,022,670,447,158,070,368,320,206,450,375,367,506,
508,738,216,540,132,486,672,919,955,818,361,957,745,299,866,543,087,882,035,
130,238,904,423,280,778,496,092,003,178,424,936,474,748,565,970,531,937,782,
317,552,210,196,813,839,974,981,608,263,998,040,528,935,962,715,999,723,456,
127,928,194,811,947,601,786,373,424,304,402,801,592,600,307,118,632,465,615,
405,834,869,760,429,946,515,248,865,598,343,315,642,287,929,975,041,817,345,
876,606,132,022,387,910,064,393,548,924,927,578,816,008,245,036,631,406,642,
561,795,023,724,740,416,170,819,379,258,667,313,672,242,843,863,576,940,310,
309,007,295,580,008,965,354,776,547,033,574,382,315,132,285,865,899,987,668,
561,939,446,699,376,395,294,688,861,516,639,913,494,272,515,317,886,743,698,
255,425,406,204,864,934,634,819,266,915,429,243,720,384,323,392,907,046,416,
811,518,221,666,712,693,870,744,024,798,800,410,333,920,144,188,628,229,623,
530,108,411,066,693,895,527,994,397,996,284,557,958,587,098,602,864,507,528,
196,620,004,087,171,547,089,098,228,197,308,890,549,386,839,556,898,948,831,
887,810,753,416,164,181,325,314,184,802,955,019,700,639,156,720,855,785,787,
877,171,566,028,152,282,657,112,468,507,014,208,606,376,265,085,030,825,399,
478,822,971,905,919,273,597,964,658,212,552,780,493,010,513,187,096,793,285,
948,998,068,758,323,527,537,771,000,674,513,624,825,411,406,899,160,741,902,
912,397,358,740,554,333,741,288,262,098,416,401,111,999,024,228,151,078,859,
997,437,940,757,953,016,336,258,984,082,453,385,165,762,710,398,482,918,191,
362,676,564,631,708,131,128,651,671,065,878,162,076,121,315,328,407,308,147,
044,916,571,646,730,154,052,791,889,169,577,442,948,610,176,029,696,405,985,
566,423,462,654,771,396,916,278,420,982,906,746,848,350,553,563,853,578,006,
338,247,131,225,674,559,320,055,537,951,895,050,812,172,812,058,581,448,403,
760,193,376,404,591,173,095,703,010,728,528,422,201,292,938,701,810,739,516,
643,705,381,610,579,271,444,055,608,242,663,809,284,445,062,955,000,944,550,
149,177,277,756,259,780,254,869,489,746,850,618,510,055,672,359,561,903,753,
527,882,358,220,883,429,271,337,160,017,734,106,260,100,739,237,483,177,625,
469,359,492,300,978,282,614,559,457,981,091,347,572,218,803,391,381,223,755,
854,884,117,866,631,328,656,241,529,622,488,571,486,659,582,900,275,502,548,
464,474,571,322,695,783,869,126,721,569,248,827,991,347,913,347,035,926,963,
636,652,523,309,364,376,270,611,744,913,940,515,526,084,415,632,975,793,088,
577,397,231,844,044,307,014,076,881,911,649,434,977,031,488,118,458,823,968,
655,855,135,438,016,079,274,790,465,315,079,811,127,997,832,550,942,320,939,
346,846,453,092,759,823,672,934,345,152,011,771,620,476,435,935,774,948,330,
524,677,943,716,788,530,722,136,075,491,392,590,577,385,032,963,451,661,356,
675,496,483,978,695,888,327,506,840,247,795,717,865,067,733,493,885,536,580,
356,956,450,293,860,957,900,552,199,024,927,185,611,576,440,669,452,838,152,
916,450,202,516,756,077,322,989,032,803,584,989,650,885,696,359,792,962,726,
015,274,655,689,365,700,846,902,371,990,595,991,683,914,078,336,183,949,050,
929,343,276,113,124,487,108,526,676,191,276,448,730,202,959,136,542,467,139,
001,482,309,655,917,353,005,598,502,657,081,130,572,426,705,599,371,367,859,
840,740,794,968,108,912,561,187,866,842,197,833,069,064,109,525,172,145,747,
362,573,864,922,800,572,915,099,114,011,783,730,462,501,893,933,569,558,211,
896,624,614,642,577,671,968,580,118,003,306,166,595,934,910,538,139,659,912,
781,561,984,465,555,131,081,772,221,315,567,774,278,681,032,324,794,590,079,
354,614,156,656,957,487,212,071,851,544,738,449,298,592,126,580,829,059,095,
224,553,078,927,451,022,060,583,025,352,514,091,421,766,147,070,322,369,415,
074,818,597,879,573,967,908,747,168,042,518,894,121,288,239,234,139,777,898,
526,001,626,549,570,433,576,139,496,247,009,346,571,082,700,617,071,428,419,
764,680,893,547,313,338,663,951,672,422,519,628,586,306,805,307,069,134,479,
856,954,410,070,851,310,680,600,275,303,861,328,898,477,630,511,602,131,667,
570,958,630,874,777,957,585,611,063,062,832,946,859,245,446,035,012,261,579,
840,226,731,684,053,647,568,339,225,739,937,035,424,308,078,391,825,005,169,
455,921,198,822,444,478,467,184,059,918,498,093,211,567,416,730,001,422,728,
517,203,499,008,436,538,201,090,211,987,907,198,315,936,446,059,657,801,919,
743,670,570,236,076,343,939,909,608,656,067,500,744,856,303,506,080,813,007,
715,043,166,518,718,550,248,887,438,564,141,493,641,610,757,172,314,886,518,
036,197,785,156,054,518,698,846,127,990,645,759,886,555,765,161,328,435,435,
694,547,629,178,323,163,941,815,979,004,179,781,231,582,771,514,713,784,511,
849,396,868,944,062,924,582,125,550,971,426,497,145,111,907,273,147,590,967,
140,937,165,588,194,188,360,381,277,496,347,427,590,553,169,745,452,287,773,
641,485,093,004,342,702,498,403,902,235,117,615,713,103,650,887,158,592,018,
666,087,201,312,238,950,907,316,949,354,691,443,390,393,248,413,547,982,307,
935,093,905,461,932,592,794,525,415,921,169,902,886,144,122,971,169,752,448,
831,564,477,063,456,107,290,706,129,177,654,651,614,300,338,440,390,802,688,
910,631,014,685,064,120,919,275,787,884,247,764,992,552,838,850,698,113,900,
495,007,193,221,282,173,141,647,248,003,894,472,663,781,733,333,051,970,406,
940,093,980,339,931,111,900,834,942,794,941,976,240,425,260,206,809,649,846,
136,283,696,142,516,700,747,446,345,273,089,878,739,298,822,625,335,770,093,
213,414,292,490,635,332,919,419,910,968,294,435,950,517,749,087,146,239,929,
297,566,041,472,127,311,626,323,659,654,212,263,159,100,388,427,002,533,570,
870,178,227,806,399,940,323,384,373,346,592,165,583,233,992,747,828,277,714,
016,565,729,066,908,262,712,122,327,361,246,743,591,408,390,295,830,602,601,
763,876,216,660,800,360,605,587,797,398,553,937,796,874,891,890,152,983,560,
621,579,832,694,627,527,598,297,297,175,662,642,511,919,863,379,043,108,348,
498,930,204,758,258,201,821,776,301,752,304,103,225,134,906,156,380,604,582,
234,507,713,480,318,869,109,364,735,661,048,602,305,375,358,141,958,374,467,
617,648,332,199,075,485,985,240,327,667,100,858,071,809,456,351,467,293,783,
599,822,107,839,764,357,437,434,070,037,435,312,660,786,307,664,767,692,786,
322,415,026,413,397,353,438,330,402,523,316,310,014,277,065,234,640,406,286,
551,043,225,485,049,503,512,555,577,443,886,337,768,633,734,229,140,220,958,
732,017,410,053,409,265,499,176,184,274,608,637,837,251,903,901,704,068,822,
052,740,925,970,684,370,545,560,196,427,384,561,539,709,721,318,906,594,626,
563,191,011,922,113,754,219,595,755,046,515,290,736,602,993,952,556,381,454,
222,358,487,364,552,208,807,903,885,843,066,608,057,090,654,727,674,912,929,
011,154,417,236,081,223,668,991,361,967,833,102,762,306,158,475,205,325,032,
580,510,101,169,302,996,685,196,854,606,441,591,864,370,449,193,251,090,189,
715,809,623,849,088,544,491,757,924,583,660,775,198,333,409,106,945,710,011,
934,768,698,719,398,698,237,842,111,758,821,648,115,963,760,128,163,578,160,
258,256,912,387,137,043,622,125,992,697,710,162,062,937,858,383,062,889,417,
620,501,609,521,543,219,817,033,058,560,513,716,564,915,214,241,186,437,657,
632,015,418,780,435,470,813,360,471,688,087,706,115,145,414,363,412,212,660,
098,663,253,165,511,819,626,486,705,912,533,315,978,289,992,584,220,061,721,
432,165,731,190,610,052,569,345,358,245,531,769,005,044,259,052,758,318,872,
784,238,340,107,411,109,931,783,389,980,894,526,083,118,098,886,916,874,966,
520,391,429,413,322,856,945,770,779,717,097,403,271,647,731,406,388,762,771,
585,916,686,303,488,031,668,273,805,193,452,619,437,482,896,950,534,518,494,
269,175,695,499,986,469,140,907,788,969,373,956,056,902,592,187,814,873,631,
584,847,291,828,381,002,032,167,406,646,110,645,907,167,746,606,128,348,191,
993,334,763,313,353,949,736,812,702,764,655,700,958,448,503,391,862,281,744,
430,534,522,175,690,655,704,579,327,338,773,291,617,234,701,986,840,863,922,
817,753,880,562,155,626,299,427,427,156,501,297,238,832,777,926,561,592,091,
079,430,608,178,525,724,875,932,540,012,593,855,044,070,608,250,177,813,976,
455,338,099,699,977,361,617,567,316,407,992,094,824,451,067,852,444,864,671,
988,910,625,926,963,710,968,690,571,329,956,814,252,912,090,083,586,765,694,
792,451,043,758,118,040,966,753,130,301,647,307,809,266,102,646,799,698,615,
127,508,090,541,483,315,851,998,336,231,814,546,737,920,416,478,608,346,066,
930,193,424,283,484,614,317,611,933,963,404,337,133,094,331,767,398,875,268,
320,658,959,330,902,904,969,112,620,132,202,228,895,043,732,730,496,058,091,
896,353,856,422,631,421,430,613,771,841,200,658,605,304,069,462,135,451,655,
779,852,894,292,442,608,005,634,085,234,845,384,756,600,289,596,322,374,938,
239,573,053,780,086,318,317,786,253,439,236,266,297,150,194,545,696,061,047,
442,718,699,619,027,477,203,103,857,038,353,054,239,831,514,204,629,444,696,
812,880,416,233,560,537,013,379,724,843,788,234,662,192,636,894,510,564,930,
700,224,843,361,725,070,291,253,061,564,934,653,262,939,962,850,037,140,671,
291,643,135,494,927,272,357,392,011,318,044,924,326,286,330,556,902,414,183,
226,466,888,702,194,081,883,905,167,260,416,701,857,834,132,392,827,470,887,
825,707,593,907,609,346,732,288,239,359,655,667,531,199,867,668,544,077,356,
476,787,297,042,465,838,070,417,535,394,436,507,239,786,586,581,244,538,472,
005,727,030,709,987,855,466,825,017,731,182,390,653,369,277,555,984,068,453,
906,810,430,045,678,388,554,171,256,828,848,760,384,328,776,536,452,950,159,
139,916,613,449,377,865,119,106,960,657,630,224,527,115,648,535,590,373,992,
697,467,958,741,030,735,390,029,768,926,743,566,995,367,751,421,374,189,423,
048,047,771,140,301,743,401,421,060,184,127,989,412,746,883,717,636,371,284,
985,908,903,030,205,063,315,501,810,059,333,369,636,223,836,853,759,978,840,
761,883,386,835,577,991,431,380,046,560,015,128,977,670,049,593,070,821,663,
987,885,064,473,940,181,431,026,587,084,848,736,623,956,010,008,785,567,915,
204,722,976,900,377,810,815,896,681,793,123,776,249,498,765,439,704,475,761,
021,777,448,266,164,474,572,016,939,247,680,423,779,270,006,304,418,361,367,
198,712,988,495,338,228,777,904,275,266,018,775,559,286,821,975,020,343,417,
781,260,345,900,231,341,241,498,924,350,443,784,570,313,709,916,195,185,198,
387,821,561,588,908,121,547,712,804,875,980,550,188,293,022,474,878,594,920,
149,083,467,243,636,333,458,858,803,997,469,927,746,202,895,332,718,959,020,
139,579,641,912,036,045,012,860,994,265,322,371,742,393,731,188,116,920,774,
893,508,617,213,883,545,723,583,114,007,452,067,560,963,256,104,156,887,384,
348,637,477,910,188,630,240,816,936,418,857,295,517,113,372,453,214,180,290,
216,840,777,852,532,736,122,573,187,092,388,034,579,855,425,926,083,456,244,
960,368,801,186,680,536,904,125,680,557,828,964,869,222,052,939,041,591,496,
256,177,489,441,670,764,744,835,448,689,975,040,872,595,767,709,055,293,710,
467,835,994,100,178,766,746,961,103,360,779,953,600,566,080,415,706,308,633,
512,855,436,184,971,142,448,634,927,582,996,644,223,081,745,478,210,427,294,
093,247,799,088,656,368,462,880,246,332,497,503,320,259,920,486,895,494,225,
414,308,081,769,267,273,187,028,830,688,054,324,148,011,617,357,548,507,712,
767,360,352,967,685,139,205,272,998,977,030,134,463,385,737,780,548,835,310,
316,061,129,463,438,672,586,053,252,897,084,367,748,348,006,741,928,332,553,
077,218,647,573,660,557,213,352,510,637,707,238,971,069,490,019,649,755,493,
630,027,018,640,748,457,432,437,953,354,365,018,821,657,488,878,205,107,490,
993,051,215,181,906,738,008,635,467,658,126,738,295,498,584,093,201,349,844,
907,360,764,646,922,425,369,018,829,607,305,853,995,342,071,302,981,995,867,
388,744,572,396,654,937,807,366,887,452,469,907,756,672,210,986,882,025,041,
745,575,554,962,671,732,598,299,444,353,769,363,040,923,476,918,557,243,141,
915,312,900,081,001,993,523,527,968,181,626,802,116,366,158,456,522,530,836,
037,707,194,992,044,067,710,365,170,237,211,429,736,072,567,128,753,797,574,
985,586,000,097,723,839,617,105,081,281,516,910,238,038,331,786,049,706,627,
759,905,105,722,770,621,982,116,170,467,156,102,103,506,707,176,094,703,265,
279,426,913,330,931,055,577,994,012,903,568,545,334,740,136,035,642,579,708,
786,650,631,386,040,639,003,047,394,903,042,688,536,782,623,614,391,827,406,
324,064,312,176,841,928,190,724,483,297,195,762,571,069,788,360,016,752,679,
252,858,141,708,773,057,144,703,149,557,831,100,281,353,826,164,541,638,199,
697,043,676,411,610,630,611,683,850,085,534,150,449,950,846,995,510,972,253,
849,066,126,319,382,406,581,994,613,139,985,571,338,785,324,145,679,363,293,
514,346,653,823,627,567,474,802,606,959,648,571,355,147,482,073,939,884,317,
414,282,949,028,635,682,609,180,109,050,263,047,119,580,061,608,564,018,798,
772,967,542,101,095,045,050,562,691,334,666,785,113,711,879,690,871,330,878,
860,604,574,565,536,908,900,339,639,992,089,038,668,712,247,560,591,525,578,
928,512,835,852,041,914,214,668,800,750,207,561,893,820,196,349,067,546,452,
411,559,056,284,672,109,635,041,350,673,334,779,303,764,697,161,625,791,721,
422,430,388,291,318,163,606,185,739,015,462,830,466,227,384,281,614,379,712,
345,602,047,193,380,356,541,602,181,789,537,033,203,225,688,637,398,064,922,
948,516,547,081,274,193,858,409,608,119,618,025,785,792,307,997,527,630,962,
914,372,964,981,091,281,928,877,658,854,774,355,588,290,989,027,044,740,296,
675,620,084,313,364,658,852,760,044,338,871,788,325,145,501,697,298,721,086,
055,689,827,648,011,032,940,623,170,951,868,168,957,665,886,200,509,345,340,
345,289,116,022,497,644,063,497,310,025,134,936,475,819,836,660,176,991,664,
195,876,388,539,479,167,031,295,091,042,707,095,701,179,359,090,532,368,515,
863,821,567,739,592,858,212,390,719,508,202,624,107,880,748,747,328,441,069,
105,699,926,637,466,436,262,073,877,356,069,491,829,063,430,640,358,656,885,
540,770,042,480,801,869,347,671,681,020,679,121,215,478,510,015,769,020,394,
471,624,685,425,248,425,572,224,527,270,243,344,015,699,770,470,570,362,182,
367,577,492,657,032,717,157,970,135,173,697,166,535,309,132,353,794,452,669,
205,343,071,926,225,845,700,375,133,029,223,715,789,275,759,737,829,032,046,
256,823,238,235,313,149,423,907,645,339,925,988,309,740,027,830,893,820,136,
264,706,096,512,228,678,811,365,886,631,132,433,864,103,525,337,228,347,374,
427,912,959,667,041,721,950,757,797,124,243,438,234,878,108,156,808,459,616,
569,677,687,692,841,566,806,922,602,208,070,483,380,412,746,483,498,419,970,
046,817,817,969,211,100,443,293,968,643,832,413,791,713,333,348,142,313,451,
081,251,215,140,351,139,832,291,193,607,930,157,830,204,522,908,214,066,397,
167,590,240,978,238,179,985,961,253,896,060,680,566,719,502,258,236,295,073,
566,781,172,310,018,921,362,995,524,952,373,907,389,743,900,473,537,531,731,
866,218,721,051,173,008,045,769,416,903,892,844,785,729,127,109,486,202,735,
337,139,599,117,144,134,041,632,128,378,509,476,346,710,731,188,133,445,507,
145,919,898,461,214,357,061,604,039,776,770,495,341,251,224,508,652,167,272,
939,796,444,376,281,334,922,276,365,537,776,477,079,983,973,292,926,818,364,
806,207,411,404,644,373,580,154,155,449,600,759,523,423,475,614,675,694,784,
565,000,960,386,940,149,387,858,010,491,788,082,800,522,468,048,995,914,963,
460,944,387,590,441,339,755,570,119,814,045,532,794,074,135,135,151,055,742,
873,290,620,943,414,873,725,553,152,723,751,929,703,966,476,746,591,449,116,
281,509,061,430,669,260,461,224,716,458,725,246,127,279,214,530,993,018,403,
768,487,549,810,236,428,162,450,523,981,971,422,592,010,529,079,591,435,704,
520,868,129,921,125,941,321,248,319,233,946,306,252,546,120,152,301,207,752,
515,862,709,155,571,526,613,831,016,408,543,286,846,769,406,063,879,461,637,
792,590,878,318,464,466,047,736,749,871,782,070,918,252,994,096,641,750,528,
516,880,522,334,516,030,562,660,525,048,968,343,141,290,607,640,638,626,496,
043,288,395,945,807,713,578,312,966,094,365,279,342,893,879,990,028,234,412,
698,005,970,121,168,542,310,102,255,276,636,077,147,303,402,555,968,288,113,
954,176,894,249,294,199,921,514,996,875,067,719,564,993,617,209,238,048,640,
239,722,501,341,608,123,245,624,782,496,905,779,159,850,528,191,183,423,246,
094,859,697,648,606,432,763,253,061,135,260,916,081,557,468,016,129,035,561,
142,064,772,719,802,425,362,580,603,463,606,628,392,592,422,521,103,943,033,
211,061,994,099,636,562,322,498,463,450,529,742,256,966,924,034,523,636,920,
804,839,823,249,733,348,016,146,753,271,874,996,375,041,038,033,628,168,286,
497,788,037,156,364,048,522,398,592,093,689,140,252,716,490,855,414,545,046,
910,060,233,093,402,475,074,791,368,242,839,972,189,897,242,045,424,790,101,
283,031,395,142,985,579,124,500,161,067,978,730,712,802,384,525,526,184,678,
988,306,037,129,308,167,656,001,014,210,195,186,326,204,724,020,594,535,392,
255,760,325,377,587,652,441,720,120,409,261,448,469,239,385,989,028,893,281,
434,651,213,176,681,509,793,642,357,490,777,323,480,023,688,526,012,793,225,
746,902,820,133,348,078,805,010,673,137,302,874,347,368,730,567,390,810,718,
011,087,528,301,006,765,470,933,204,930,998,959,287,909,892,472,974,614,483,
923,468,991,849,630,571,773,738,614,091,105,599,165,083,222,473,416,589,853,
105,720,929,067,491,545,205,530,776,636,326,635,876,022,497,739,516,079,661,
692,566,354,065,849,346,527,213,931,107,804,923,122,582,771,493,234,447,896,
969,620,285,616,535,922,906,091,676,443,788,436,513,367,361,056,461,649,620,
874,873,042,974,511,792,715,241,650,174,114,171,355,100,002,679,124,889,373,
135,489,142,646,975,265,621,716,825,597,592,517,423,381,407,772,160,555,946,
045,363,655,137,056,356,484,237,501,050,058,910,611,899,419,444,909,101,703,
311,171,382,621,876,433,536,654,881,180,100,288,075,574,285,453,889,179,087,
407,276,963,540,260,942,465,215,931,413,119,041,780,632,381,460,007,385,232,
849,626,458,847,432,923,852,759,899,974,034,597,116,550,864,591,045,354,328,
801,471,380,250,769,219,692,766,110,487,649,920,035,129,174,306,171,611,280,
219,646,916,526,407,590,633,596,050,229,747,321,918,763,960,624,166,887,693,
896,815,209,958,288,223,205,629,847,056,921,213,492,335,965,911,867,850,741,
774,033,136,258,840,692,855,804,953,545,669,200,149,137,397,047,599,155,766,
919,437,040,607,984,467,157,356,164,770,948,334,566,024,526,455,513,614,628,
720,502,077,674,484,805,456,384,075,870,919,681,702,275,968,944,862,183,854,
921,131,001,460,376,287,710,016,567,416,828,918,219,732,668,547,640,457,882,
592,330,571,732,707,098,461,251,063,767,494,210,804,203,442,940,370,162,850,
446,511,454,256,405,526,430,698,971,888,272,953,870,144,624,813,907,823,290,
226,746,597,795,049,784,739,984,640,705,112,633,439,570,832,812,567,883,544,
250,088,419,438,197,207,856,902,219,278,429,135,713,640,417,573,620,105,532,
799,189,991,452,844,183,577,182,553,221,745,620,184,570,986,933,545,381,179,
171,772,973,515,069,119,921,472,477,265,659,922,327,336,082,881,437,914,356,
646,761,685,785,500,033,809,475,458,017,229,008,171,229,797,498,959,285,281,
408,851,589,376,284,270,958,856,282,506,063,231,181,333,951,489,820,309,317,
631,385,410,582,549,052,218,177,801,243,936,904,887,378,464,497,476,003,477,
332,771,686,107,045,051,023,430,059,403,793,088,806,726,839,452,403,842,549,
477,897,003,816,752,706,120,527,697,609,591,657,030,112,954,148,953,496,108,
208,706,223,922,860,224,601,345,866,792,783,534,993,509,053,534,766,516,636,
135,542,534,583,777,363,000,841,606,114,434,369,305,128,572,830,173,990,754,
751,028,332,997,836,872,495,217,924,898,097,976,201,278,331,280,140,832,153,
169,817,248,595,845,059,534,825,086,629,225,656,125,034,415,734,178,278,856,
995,118,436,854,554,912,610,921,669,681,556,515,919,434,470,122,145,990,062,
691,697,250,351,251,434,766,555,731,464,536,729,577,542,629,714,476,547,910,
757,439,047,060,116,711,012,123,996,810,363,060,673,990,744,570,241,945,956,
449,864,625,920,187,843,191,069,783,981,005,577,913,339,456,336,859,220,040,
063,972,510,468,218,336,782,839,648,238,147,879,835,373,502,571,893,013,354,
926,419,020,360,025,127,873,316,094,710,942,797,956,769,485,627,644,866,540,
760,428,964,837,149,247,077,527,540,743,930,045,363,451,179,560,033,708,533,
949,931,344,808,668,490,161,128,233,388,639,432,743,998,978,520,165,126,769,
785,419,168,756,526,446,378,022,907,182,174,461,455,380,449,932,801,518,083,
273,349,710,515,277,454,569,312,904,969,831,822,184,371,866,630,060,910,167,
944,172,579,877,752,665,845,095,886,016,313,496,047,688,650,036,557,734,511,
958,827,746,576,432,033,824,470,400,206,684,731,845,562,462,230,827,137,173,
978,472,010,440,469,510,807,711,722,299,843,979,412,375,110,710,157,410,643,
583,869,888,798,268,137,389,697,568,575,545,803,318,786,101,051,822,659,431,
025,653,214,111,617,899,493,750,791,250,923,992,581,220,648,324,676,457,765,
724,832,199,664,752,099,989,385,275,592,953,893,047,003,910,771,757,482,571,
656,114,439,443,711,673,433,585,742,745,028,640,283,098,034,495,166,758,537,
891,760,532,249,581,835,797,059,919,153,151,947,464,098,700,249,745,292,936,
535,349,083,226,202,540,159,593,857,925,947,298,288,586,114,418,150,460,250,
031,029,725,537,263,708,851,960,770,373,782,501,920,382,393,141,566,566,095,
513,264,422,648,195,209,815,636,724,319,116,295,163,420,908,876,782,781,064,
295,555,668,182,511,361,778,512,325,522,959,251,293,863,011,540,258,151,439,
807,153,823,598,218,933,545,661,083,027,667,898,248,705,913,193,339,109,558,
669,980,232,208,684,310,637,696,903,832,493,821,786,988,211,113,075,699,980,
195,801,117,480,615,561,625,403,122,806,487,658,757,100,952,106,906,230,292,
287,319,247,615,658,234,220,698,742,541,215,566,341,675,923,775,979,147,817,
108,448,726,373,754,970,792,707,498,506,925,437,026,859,441,537,952,501,481,
146,740,531,113,082,614,971,534,508,919,028,486,679,696,435,432,557,883,636,
534,757,941,009,231,704,185,182,555,537,550,133,409,704,885,850,305,024,641,
760,103,350,043,784,091,085,040,952,385,724,548,034,371,001,472,428,473,678,
160,176,144,714,206,619,971,712,332,313,691,000,901,739,968,271,788,512,824,
338,608,403,264,171,887,520,177,994,866,365,011,548,643,736,973,856,922,995,
250,546,971,515,928,861,751,283,203,325,011,223,034,477,780,057,964,456,864,
830,378,508,513,668,993,641,136,594,479,224,271,082,428,803,707,863,883,542,
011,126,169,658,014,420,098,014,961,348,246,341,106,156,426,463,566,526,355,
760,338,856,766,015,466,009,889,424,925,414,289,688,456,325,371,099,944,474,
305,877,272,020,720,315,608,847,295,846,312,345,394,696,949,216,859,560,490,
616,001,802,974,474,820,864,031,245,315,195,677,942,077,418,140,700,869,692,
851,557,352,592,119,358,068,429,120,634,810,527,366,846,553,635,431,332,934,
970,718,060,111,811,680,625,491,542,125,672,398,562,012,152,395,255,151,552,
166,864,273,739,580,935,811,273,403,986,088,260,856,982,951,637,610,465,696,
189,949,062,364,754,877,219,330,925,887,719,709,511,368,317,065,451,162,407,
162,724,518,544,083,196,921,404,580,018,516,247,940,986,871,870,468,615,226,
511,225,457,972,315,435,204,702,409,098,500,480,144,086,455,110,200,009,794,
812,900,766,202,092,112,282,461,033,611,250,883,315,689,039,134,879,866,945,
446,374,149,554,308,726,542,780,752,953,584,968,748,250,899,296,176,888,247,
185,185,157,309,620,060,073,371,620,481,394,317,129,019,486,962,441,319,951,
197,523,450,198,120,756,970,528,514,540,095,314,334,789,306,716,587,553,604,
537,925,508,401,867,045,212,694,040,159,855,767,993,116,069,953,338,750,394,
592,629,350,409,204,692,833,600,102,111,516,874,669,015,530,393,853,778,718,
777,985,129,785,663,617,928,631,029,384,562,368,766,323,470,562,886,181,517,
279,064,923,441,351,754,815,164,644,564,548,022,107,579,019,704,078,732,679,
739,126,252,567,907,342,697,991,601,691,839,644,447,836,035,083,627,165,327,
013,064,980,774,701,649,914,334,760,985,897,293,125,138,985,610,212,161,922,
079,045,701,669,983,541,378,304,780,081,810,264,786,929,234,779,555,784,323,
077,364,235,654,439,731,472,866,483,248,866,979,729,189,989,238,729,995,138,
581,458,925,356,355,405,979,792,268,134,585,094,504,914,571,986,038,659,713,
602,038,056,753,396,981,263,168,879,568,538,534,894,995,704,570,768,204,996,
029,087,119,873,149,761,020,248,711,951,602,870,558,202,339,067,314,191,403,
638,054,003,175,711,056,871,903,232,250,997,627,850,989,379,973,755,492,327,
123,436,690,838,113,729,557,126,323,337,726,977,177,034,388,062,181,483,644,
682,477,085,071,175,796,439,082,266,680,089,097,716,458,051,189,272,361,163,
695,678,895,571,012,837,796,883,452,713,532,136,908,084,098,117,447,736,041,
715,802,326,733,519,634,872,691,811,122,080,417,503,996,903,487,121,910,394,
247,673,427,738,002,740,018,648,134,302,561,637,073,305,084,379,711,723,271,
217,431,670,352,307,981,374,965,758,927,051,521,805,653,517,026,633,514,837,
478,181,177,723,051,526,031,679,107,215,556,824,316,444,495,528,263,321,845,
625,862,676,529,368,709,736,015,664,558,983,180,629,221,127,831,064,762,559,
175,364,040,170,906,437,566,778,475,381,298,400,863,535,468,010,991,729,158,
535,853,496,897,947,507,821,444,593,044,314,541,274,195,845,980,140,037,250,
335,535,936,803,555,611,027,755,257,854,824,174,371,518,583,663,241,085,426,
314,935,034,611,261,579,390,560,852,733,113,629,540,417,453,007,138,324,238,
666,049,010,516,425,454,189,576,994,820,414,662,687,701,547,839,566,589,817,
875,540,215,047,668,677,338,884,427,166,359,693,934,095,103,163,441,677,622,
577,611,193,256,740,040,239,198,414,260,282,576,819,935,737,619,692,819,454,
895,105,518,220,558,294,570,552,233,650,932,958,656,497,854,042,056,207,876,
672,376,577,821,827,609,105,826,926,202,485,700,353,699,499,345,774,077,918,
584,858,786,093,574,666,512,125,258,620,296,466,149,610,735,557,333,035,671,
173,021,100,843,275,628,278,099,044,761,820,862,044,855,624,946,619,462,849,
037,214,782,773,401,345,404,808,061,093,160,815,418,034,856,286,369,635,212,
870,125,207,857,243,501,112,045,746,479,877,293,694,375,751,259,371,264,847,
505,541,068,677,060,563,003,828,121,460,038,440,440,403,790,372,590,868,463,
474,061,388,280,541,616,524,722,978,615,130,785,447,693,049,506,573,677,642,
761,689,733,499,551,667,973,511,423,518,888,594,152,767,123,420,630,930,080,
492,461,559,795,221,517,499,747,183,638,444,124,202,091,236,605,286,606,163,
902,157,788,264,113,945,928,917,887,705,060,657,638,822,866,007,790,832,661,
496,773,654,791,055,754,374,031,735,820,019,352,554,539,830,027,744,282,066,
429,083,209,353,775,990,512,538,955,470,012,663,962,679,823,349,992,414,522,
385,128,306,219,627,203,335,427,681,937,122,415,496,030,595,514,246,917,309,
790,559,740,210,468,255,621,749,188,378,081,124,389,493,015,462,825,228,256,
996,479,121,082,952,637,421,632,601,606,021,831,060,738,812,772,770,257,748,
796,831,655,218,351,182,804,090,205,704,093,491,684,748,676,299,011,528,672,
632,842,027,825,819,755,425,425,972,176,099,899,575,822,488,635,726,094,160,
578,403,562,449,413,972,078,117,951,040,600,221,943,461,231,686,086,207,386,
056,302,857,408,483,669,590,423,699,891,850,314,911,071,644,102,125,586,923,
469,321,242,560,091,071,429,780,594,975,818,353,527,460,826,159,228,150,169,
379,504,530,971,213,224,788,500,006,082,976,881,587,773,040,504,526,648,314,
316,713,669,658,364,563,901,137,777,151,120,458,039,963,075,719,584,038,247,
591,694,311,240,241,111,759,118,546,080,490,540,222,455,779,410,561,183,183,
433,987,018,077,068,774,296,761,415,556,433,438,087,470,389,996,942,095,455,
614,453,070,659,025,590,746,840,725,798,443,886,785,887,339,528,761,495,242,
345,070,998,801,209,579,586,522,168,265,328,575,320,199,407,437,079,460,441,
917,603,727,851,895,507,880,366,722,133,282,790,585,696,660,897,084,025,186,
661,769,606,213,868,043,540,054,057,116,430,577,357,023,124,057,994,171,405,
673,586,054,804,248,594,062,934,965,798,341,589,289,867,794,206,283,344,594,
498,365,334,367,800,752,087,275,713,518,969,371,249,617,699,321,477,191,634,
546,328,026,943,801,999,225,237,805,979,325,640,444,993,172,590,518,515,125,
655,811,076,680,967,502,108,929,411,197,669,224,178,143,609,943,414,884,934,
256,215,711,194,803,175,963,943,641,160,196,633,416,700,065,618,555,130,041,
779,262,787,090,143,394,516,891,356,402,978,132,021,525,974,437,335,286,817,
053,829,350,614,377,161,273,680,147,175,813,433,244,045,062,654,509,845,389,
898,869,356,904,294,057,023,243,866,742,661,032,635,765,711,152,535,062,557,
227,515,487,042,394,067,403,162,842,782,213,189,659,831,107,405,573,307,550,
750,344,221,807,323,197,859,006,627,667,206,244,959,318,179,236,345,997,421,
545,447,126,223,484,084,023,715,911,320,962,461,693,219,577,973,667,571,228,
155,945,208,721,562,441,741,253,331,863,871,784,860,237,016,332,445,484,239,
973,585,840,437,503,159,430,260,063,046,519,498,709,486,725,965,041,415,827,
158,251,385,202,370,298,998,805,631,559,132,739,148,439,231,270,716,067,450,
663,169,286,631,598,985,622,273,865,125,092,024,453,910,449,998,602,921,434,
002,590,872,548,745,342,919,051,547,595,495,154,775,057,949,467,635,614,846,
626,727,410,534,442,150,912,644,637,879,701,657,891,120,144,088,476,821,729,
359,724,939,788,415,794,785,201,721,358,803,722,280,854,431,745,412,636,461,
427,854,488,958,206,193,422,956,860,542,465,349,578,796,314,997,331,436,427,
055,804,276,557,784,734,594,532,567,098,878,519,996,754,143,941,689,338,131,
840,117,201,939,699,765,340,095,271,907,616,322,463,182,467,528,337,301,933,
927,776,893,181,556,165,912,981,276,879,240,092,547,239,479,559,699,009,369,
394,225,104,238,559,771,501,577,833,332,004,659,102,825,244,371,188,320,746,
090,703,003,996,660,439,228,206,329,357,682,184,148,825,994,191,661,499,552,
009,230,880,417,776,014,560,991,232,638,374,164,778,386,025,548,439,015,682,
586,347,715,423,762,181,221,852,077,534,326,347,957,481,418,709,944,615,602,
017,267,235,793,832,949,186,660,805,688,706,528,561,421,345,053,710,223,871,
864,982,484,188,245,385,880,388,561,274,485,479,528,700,383,763,263,428,855,
150,107,722,193,435,877,481,605,571,505,541,758,807,146,995,489,765,234,824,
687,760,687,509,325,579,213,551,172,522,096,495,225,283,012,459,548,299,248,
241,990,415,661,966,876,033,637,833,439,045,552,258,733,185,890,857,022,566,
509,257,324,680,453,001,198,892,467,296,753,530,576,944,761,165,803,574,027,
957,553,501,284,604,289,522,408,858,245,720,560,486,178,920,464,467,489,497,
873,353,573,233,296,507,292,176,232,352,809,998,483,152,053,492,255,507,878,
468,413,475,671,103,724,629,910,936,475,320,983,316,740,367,629,647,464,668,
573,888,547,897,375,273,077,852,308,213,666,697,793,530,416,802,496,988,553,
766,981,426,630,660,252,750,834,228,244,917,592,747,696,942,977,088,770,010,
282,733,586,475,849,510,497,364,743,052,695,655,738,956,186,703,605,181,486,
185,795,766,587,821,061,551,303,121,411,235,452,819,261,554,327,063,610,398,
795,705,902,834,073,354,550,652,817,984,377,630,583,247,203,611,201,596,994,
046,569,358,376,152,477,058,165,063,461,706,866,666,525,090,175,158,829,599,
396,731,286,877,200,623,826,528,805,339,637,724,523,417,526,521,202,681,491,
883,567,880,085,779,121,717,166,597,987,185,487,302,229,400,437,249,007,141,
003,687,508,699,753,801,342,759,045,059,013,473,092,473,922,236,777,772,266,
090,239,050,755,345,159,777,482,512,957,237,821,278,644,429,741,543,929,303,
476,015,791,433,494,102,533,074,652,397,199,924,451,454,450,162,109,332,788,
100,673,975,710,240,890,099,657,839,898,507,421,871,741,793,170,818,567,500,
476,205,197,624,447,279,696,373,234,623,679,458,707,241,211,853,844,256,236,
758,698,875,376,366,966,125,969,148,881,817,757,149,677,035,609,717,477,471,
459,870,449,461,174,154,467,498,759,962,226,680,052,443,594,374,893,281,892,
713,719,360,335,723,088,317,799,611,015,720,471,296,315,011,460,581,989,447,
185,092,547,262,159,489,263,144,154,468,703,351,005,949,822,058,965,489,987,
268,551,550,776,734,127,082,972,304,655,642,775,814,902,969,746,670,344,825,
105,402,530,293,603,478,736,501,368,628,656,955,689,676,745,245,276,302,962,
188,858,226,934,552,957,027,542,881,747,716,805,511,734,755,066,277,122,888,
787,748,719,176,243,266,137,666,590,929,120,277,518,116,718,064,910,771,429,
626,025,098,666,944,802,634,403,824,406,016,644,588,578,993,056,438,695,849,
869,078,988,712,163,987,880,974,648,874,274,551,454,011,192,412,053,516,528,
014,407,417,742,193,830,058,817,873,641,327,653,027,439,529,070,813,785,138,
040,638,394,822,534,005,042,402,794,381,255,297,693,350,218,753,615,326,467,
600,168,969,770,990,287,631,411,031,653,886,074,505,617,119,926,812,538,246,
151,951,123,975,602,339,332,251,802,453,137,205,580,693,927,343,411,797,707,
302,993,674,862,213,856,048,462,618,807,871,930,991,514,211,338,087,520,144,
472,143,120,866,257,080,823,186,256,493,372,143,118,049,137,212,255,889,366,
252,825,603,537,642,943,726,470,259,047,476,778,083,159,610,201,995,125,768,
419,202,640,717,958,030,773,149,284,787,378,183,856,360,982,070,519,606,306,
515,953,953,014,664,662,131,035,834,339,892,431,239,477,585,945,463,622,248,
263,095,930,787,965,109,893,673,927,597,441,522,647,241,206,864,410,018,101,
630,991,884,474,011,938,306,945,671,479,080,020,362,179,185,487,486,358,763,
095,711,196,635,717,070,054,833,259,852,488,739,731,679,697,207,203,926,742,
197,727,152,585,097,884,295,550,617,616,380,774,616,623,160,965,774,230,394,
265,070,930,243,467,297,093,168,284,071,850,031,160,667,635,030,666,169,394,
262,070,670,127,335,389,166,890,915,728,912,378,897,595,748,470,507,637,853,
025,172,349,899,896,808,009,707,704,901,667,429,496,442,423,353,757,900,409,
926,076,708,389,371,360,847,139,180,078,644,975,320,686,526,086,265,611,662,
910,441,704,531,579,636,458,799,666,395,987,242,559,462,161,402,187,605,290,
725,643,867,539,718,928,690,163,961,056,067,427,048,533,447,676,943,145,146,
867,618,567,857,228,942,304,223,476,407,190,764,552,447,770,181,254,415,757,
527,766,497,644,534,464,957,625,522,909,238,430,214,248,644,817,348,517,060,
614,557,623,133,419,337,532,607,732,117,489,830,534,534,561,778,608,840,750,
507,725,707,052,823,205,555,651,270,022,132,889,428,516,033,073,173,777,400,
494,787,361,086,067,070,070,337,224,574,141,950,406,665,560,427,905,244,906,
681,137,382,614,972,858,362,422,388,777,174,494,252,899,982,735,702,519,990,
588,675,754,461,674,389,287,223,323,216,497,021,411,747,471,215,921,009,358,
431,615,484,562,440,956,904,443,379,785,401,384,068,796,667,810,823,178,172,
289,407,376,586,327,335,002,012,118,662,802,113,022,832,227,189,173,196,727,
456,250,554,110,528,317,101,453,894,898,570,182,244,995,406,408,953,125,584,
471,421,206,138,066,236,719,909,994,247,090,252,989,033,467,387,224,935,629,
498,256,984,694,198,447,395,490,891,120,428,671,878,088,276,384,302,027,615,
747,818,709,383,876,458,170,483,296,630,407,302,952,616,033,595,157,522,221,
085,019,357,919,963,910,868,832,337,697,975,210,813,617,928,612,173,810,147,
555,624,593,897,767,020,136,375,485,331,955,787,011,387,267,829,127,976,574,
871,726,191,051,079,023,869,074,328,614,758,423,850,096,815,604,363,868,932,
263,538,991,634,243,717,072,298,083,062,685,433,192,839,892,818,420,641,621,
414,929,842,946,573,915,089,914,229,578,369,572,692,142,153,366,183,227,351,
485,111,063,941,462,950,915,149,525,735,936,034,558,377,198,470,598,538,107,
387,422,695,945,833,876,445,230,812,713,309,890,478,272,594,582,840,524,452,
873,274,931,014,544,968,171,049,643,486,233,370,137,741,917,427,683,850,727,
105,460,544,064,987,799,621,466,556,372,583,430,568,524,955,298,065,850,782,
388,416,854,854,840,278,057,135,463,028,003,504,275,241,119,188,506,915,041,
334,932,784,076,527,821,577,837,710,436,002,071,114,319,161,076,080,642,486,
644,632,675,939,200,230,259,349,525,000,927,880,170,796,199,194,355,442,840,
753,452,277,739,285,431,126,838,135,718,126,480,970,869,112,116,301,207,423,
459,068,090,601,945,601,939,252,966,681,628,369,541,235,775,551,978,398,961,
624,863,820,449,170,873,781,320,085,319,486,830,797,566,261,825,012,411,502,
197,716,247,195,449,810,068,485,559,250,844,187,294,894,172,039,268,145,140,
513,850,710,697,922,022,532,324,393,920,056,084,324,507,050,649,160,640,421,
745,758,114,718,287,865,028,829,739,853,591,270,776,269,426,158,438,412,025,
545,834,463,020,150,992,892,259,507,842,541,010,662,756,025,025,427,618,127,
095,572,038,432,331,746,231,790,694,834,358,079,529,876,321,103,841,502,153,
383,505,243,274,180,731,827,497,083,587,288,643,853,327,042,166,772,330,309,
873,097,728,942,771,336,276,383,605,980,646,566,144,651,767,267,389,688,304,
741,258,557,943,322,458,198,852,915,556,864,226,525,945,582,790,657,651,805,
666,722,493,895,069,371,511,953,060,205,469,123,376,974,047,082,988,158,350,
484,375,217,379,106,885,120,334,328,791,421,925,985,002,923,360,001,038,872,
650,886,412,380,276,619,930,953,009,009,539,711,305,101,920,975,939,877,689,
062,538,681,063,744,690,742,341,023,972,770,148,160,877,710,255,619,768,796,
822,429,390,211,488,817,500,277,031,757,236,403,803,673,066,975,651,720,691,
999,734,367,336,234,936,509,329,798,322,903,783,977,524,987,582,606,807,709,
948,119,232,266,180,436,687,689,705,856,355,147,817,011,584,380,246,489,071,
642,280,029,901,902,297,978,333,226,753,056,117,409,448,297,868,042,459,262,
828,160,673,724,827,652,981,357,096,453,835,044,963,735,221,181,216,568,134,
495,490,570,037,963,866,508,079,128,146,440,555,486,098,742,643,741,208,744,
356,957,560,391,262,075,400,243,305,008,055,149,720,310,189,417,762,483,334,
747,696,584,814,773,335,107,657,761,704,621,904,660,515,860,596,351,251,859,
689,312,611,003,535,148,446,558,032,270,147,241,909,905,460,029,902,652,859,
570,210,685,269,074,206,837,418,723,576,689,483,432,403,013,402,106,126,373,
828,858,210,791,625,659,369,989,830,850,626,391,488,963,613,395,092,392,751,
270,343,082,968,745,614,962,565,948,505,254,341,010,288,454,512,241,070,381,
065,535,308,592,065,622,863,439,375,539,717,591,064,050,193,657,487,639,372,
047,414,573,804,112,178,179,946,105,148,072,387,897,725,339,706,930,485,188,
643,977,588,707,823,700,820,522,421,148,226,488,488,069,008,177,078,601,129,
812,315,501,417,222,474,557,556,861,893,655,436,076,171,604,316,971,339,475,
350,991,985,387,370,737,070,773,945,938,835,201,715,320,145,421,577,581,814,
734,870,072,577,583,904,376,344,836,480,290,465,783,996,580,381,521,854,237,
404,032,186,452,105,620,465,451,514,730,982,830,671,988,010,761,356,371,457,
829,982,761,208,395,728,299,965,685,193,045,522,822,842,821,874,183,479,856,
364,635,835,059,267,122,261,945,764,346,643,737,936,165,797,179,626,669,564,
896,744,355,304,975,087,854,551,900,621,620,472,256,943,875,158,552,677,633,
862,584,620,094,193,205,851,840,795,687,415,425,066,575,537,791,859,813,360,
407,829,576,262,744,276,341,663,890,948,669,072,975,358,011,628,226,100,685,
399,514,560,551,258,587,537,029,367,612,778,194,374,663,954,132,538,506,994,
423,456,690,682,471,095,028,863,032,259,840,431,869,074,958,170,430,838,265,
141,217,848,867,284,125,724,632,299,755,310,931,360,620,950,717,031,007,340,
391,466,410,511,609,120,799,058,185,517,868,651,376,887,082,568,055,740,209,
340,480,363,067,144,514,534,754,199,366,931,691,390,757,607,435,884,602,519,
980,546,238,028,593,318,201,801,951,585,543,803,631,502,687,937,065,026,264,
783,837,332,702,536,624,337,650,949,336,617,920,012,714,748,099,181,785,327,
541,856,646,147,894,199,391,105,729,547,263,816,338,116,184,098,375,620,336,
864,563,397,449,771,395,890,432,267,326,617,261,471,150,198,583,876,080,633,
030,367,984,310,499,223,503,462,732,338,905,725,911,747,488,559,890,388,585,
740,772,854,362,269,209,037,323,377,425,082,447,685,633,193,764,721,752,846,
149,687,311,714,110,783,513,489,716,414,339,490,812,567,003,190,980,548,898,
827,973,929,022,871,528,260,455,507,850,047,144,197,744,238,624,041,997,188,
216,837,216,758,703,030,976,018,009,054,473,807,417,310,930,518,264,712,517,
815,732,579,593,311,953,242,547,224,117,791,243,154,038,202,651,616,549,492,
286,231,433,556,547,142,717,745,111,932,064,463,865,632,355,334,463,288,519,
230,005,548,032,008,497,433,343,897,633,615,083,788,280,806,833,235,038,769,
847,908,384,609,355,327,041,215,007,144,811,750,662,098,537,477,602,754,435,
013,176,962,079,441,314,948,145,512,129,148,696,206,284,331,111,008,725,889,
052,559,418,467,230,883,079,801,275,538,083,289,482,512,684,100,053,667,312,
785,569,450,521,457,885,576,245,950,396,754,128,635,443,561,306,967,669,486,
558,477,349,464,359,398,547,200,830,560,546,618,962,483,698,077,522,484,308,
992,077,955,299,970,141,895,622,069,506,526,787,915,069,228,781,477,949,515,
353,551,852,274,400,058,191,013,348,678,738,381,804,886,305,630,739,847,284,
599,224,653,113,389,597,067,704,205,012,151,295,071,346,517,186,216,124,434,
283,450,143,755,337,886,716,513,172,507,270,114,948,658,452,466,759,681,647,
830,994,175,177,041,443,021,756,259,143,546,486,984,609,756,389,306,541,591,
842,236,002,705,378,733,230,248,996,439,966,733,361,567,451,450,428,928,046,
027,194,823,135,033,317,230,047,553,874,753,450,250,515,979,332,841,888,522,
088,729,692,930,341,230,386,516,502,554,850,772,720,871,306,255,488,395,635,
373,365,979,057,716,296,942,839,162,348,826,156,375,810,481,469,612,212,351,
342,234,547,532,917,018,264,565,501,205,043,973,547,141,058,432,232,561,398,
627,015,961,578,048,335,732,732,275,661,748,066,448,438,765,383,841,353,853,
026,016,155,035,828,264,177,017,427,815,230,819,811,629,960,260,912,357,355,
425,280,346,886,730,794,781,522,132,703,319,081,821,622,992,077,138,831,646,
917,990,607,197,071,478,468,853,077,546,066,071,833,026,146,321,814,546,772,
600,576,080,169,566,818,105,691,401,485,236,853,886,748,273,337,360,554,622,
199,325,389,142,868,799,992,415,798,491,678,253,330,198,371,322,052,758,959,
490,022,710,022,657,318,695,893,346,933,954,977,068,912,927,535,736,074,269,
771,435,903,667,137,800,624,153,381,649,957,042,573,545,040,724,487,644,042,
725,202,203,830,713,990,801,923,148,345,680,808,982,988,803,133,726,952,816,
643,374,143,316,186,793,621,278,371,577,802,534,264,688,531,912,284,448,034,
865,823,848,701,397,163,801,082,749,650,276,845,917,441,475,411,478,784,922,
526,335,070,630,626,599,589,647,772,974,861,770,190,409,288,023,774,604,063,
250,905,197,769,175,172,160,035,143,686,849,776,830,441,990,183,906,125,539,
203,519,191,538,924,840,099,520,270,278,372,561,018,695,253,426,862,058,732,
732,790,148,077,103,075,423,356,481,006,424,671,319,371,583,276,849,011,088,
979,697,515,995,880,508,642,493,455,909,829,541,442,502,742,575,110,433,649,
816,397,457,141,708,218,279,522,333,469,660,475,330,325,902,399,384,730,951,
430,094,345,298,749,961,856,718,777,399,746,835,841,763,739,313,339,054,951,
254,678,192,333,528,496,016,238,913,966,427,979,681,380,854,921,746,417,062,
969,899,930,953,089,859,272,132,291,509,874,697,165,075,013,056,817,703,433,
706,708,343,640,239,275,747,020,475,787,926,288,132,241,736,062,109,489,997,
504,579,082,489,793,000,922,345,897,471,575,801,667,071,810,145,529,375,791,
729,397,425,398,700,478,850,910,971,167,611,762,795,624,834,604,310,982,331,
100,078,716,107,925,615,663,402,902,257,156,245,921,169,477,181,782,643,490,
591,781,666,433,735,141,651,576,936,428,197,453,289,926,799,032,403,195,157,
055,342,056,101,590,942,378,721,325,751,707,194,896,063,847,806,949,200,478,
118,701,018,107,726,076,729,892,864,692,925,648,135,898,377,326,928,001,814,
901,605,439,301,911,794,188,426,561,830,433,226,877,258,737,920,547,801,146,
978,099,596,165,148,953,368,578,340,820,120,931,992,070,026,406,345,800,501,
238,838,334,625,777,310,966,957,269,227,342,947,425,016,766,046,093,367,777,
748,533,196,949,777,455,489,452,100,269,136,683,418,224,840,457,512,379,369,
862,792,138,845,215,716,669,742,878,891,813,211,879,691,692,423,582,841,048,
196,792,142,180,099,663,826,874,253,796,346,862,766,072,940,264,249,882,659,
655,334,595,147,883,896,841,077,436,247,432,364,653,198,905,780,489,736,956,
571,402,075,032,987,909,951,321,490,213,565,983,670,509,226,187,190,964,283,
742,594,562,596,720,572,406,020,498,195,463,677,921,714,390,471,461,670,292,
663,537,174,380,057,872,100,918,759,728,055,170,079,655,138,094,947,397,708,
674,370,149,482,290,246,185,419,901,469,739,476,737,163,214,532,530,076,972,
937,720,149,704,159,874,512,375,585,468,986,006,071,630,587,703,724,878,913,
488,776,512,325,954,820,518,251,699,131,413,230,783,898,665,563,585,744,263,
962,050,224,091,555,664,340,609,725,748,990,669,869,237,763,625,724,225,888,
267,864,619,806,031,777,792,672,148,001,705,047,423,768,361,719,608,113,497,
199,296,565,436,766,214,750,187,173,007,313,007,954,668,825,383,643,816,213,
740,741,046,967,405,307,482,587,178,953,953,811,976,429,521,767,381,981,731,
332,736,431,879,828,195,866,437,999,352,818,726,150,628,670,439,098,819,347,
106,021,254,267,200,740,734,822,240,671,769,653,213,862,588,755,006,374,097,
149,892,841,865,899,464,858,478,663,756,571,079,552,568,309,981,135,431,047,
482,616,278,137,087,316,554,693,910,500,491,237,913,340,037,028,188,731,013,
765,996,196,892,782,819,140,092,442,658,715,767,514,779,515,748,032,181,787,
766,491,186,462,659,146,761,648,730,097,251,508,260,149,798,619,732,480,626,
714,679,484,158,202,213,105,175,928,547,773,014,492,702,956,901,986,836,445,
649,679,111,475,881,173,443,969,684,406,826,220,247,189,247,176,299,421,321,
027,259,680,825,819,313,498,639,369,905,037,802,047,777,894,373,992,401,384,
948,375,544,435,767,233,004,611,788,298,652,142,693,451,181,388,419,081,593,
145,923,075,266,391,547,512,543,698,590,971,014,448,209,114,050,149,201,186,
402,547,044,834,941,767,435,854,094,558,250,598,422,105,882,007,951,732,962,
591,099,096,452,901,348,934,330,257,065,373,327,119,348,474,485,673,666,853,
632,694,470,467,132,368,118,583,340,947,310,275,820,665,155,382,107,542,177,
327,996,023,039,311,050,053,066,756,732,776,375,918,786,341,515,960,934,243,
401,644,923,820,711,197,712,883,492,767,741,192,878,289,259,898,611,071,663,
552,991,644,163,083,879,254,365,707,199,376,463,843,786,766,291,677,314,550,
615,406,816,995,683,688,742,337,415,989,622,689,316,271,541,178,586,407,234,
436,415,630,771,989,010,123,257,591,102,642,640,524,229,472,130,978,011,579,
282,508,148,559,788,348,123,181,382,168,746,014,414,206,800,418,901,469,555,
214,550,078,704,719,312,787,113,951,899,885,792,889,061,934,722,700,012,998,
746,686,418,038,935,784,372,247,999,509,936,071,333,459,079,113,722,131,922,
542,198,224,904,922,871,902,177,343,925,645,147,221,739,411,769,568,697,426,
364,412,662,826,201,045,766,019,448,675,312,398,935,767,573,186,798,652,935,
592,169,761,440,162,588,383,589,282,532,309,523,719,015,352,174,079,122,432,
974,386,427,041,144,574,874,491,680,548,522,081,828,654,417,293,899,461,476,
363,445,872,624,100,966,791,570,335,253,599,539,849,720,279,802,804,027,403,
192,804,728,554,572,461,055,722,416,971,677,777,989,036,682,118,951,289,042,
914,220,588,085,865,026,616,741,931,487,726,036,423,382,910,566,826,243,204,
731,074,525,217,198,651,021,005,506,051,926,700,023,704,911,072,771,580,230,
762,882,825,866,859,498,828,930,667,469,546,359,804,623,004,987,565,315,445,
961,156,196,835,029,429,933,106,556,546,548,945,125,129,238,380,217,200,903,
623,453,788,527,605,568,348,268,643,054,422,749,395,936,222,046,356,007,835,
873,698,658,955,284,406,106,495,382,402,497,181,813,916,934,309,285,795,167,
061,510,688,751,869,130,210,573,705,421,158,525,048,709,810,462,480,785,799,
774,069,418,357,484,234,543,022,353,490,148,849,046,676,692,753,884,064,213,
678,690,705,151,155,144,850,482,680,652,219,977,163,184,121,190,884,051,647,
473,919,786,374,184,619,777,989,370,006,188,221,367,228,346,481,600,437,351,
962,112,814,270,107,621,930,726,358,026,639,835,638,331,377,496,325,212,933,
247,571,556,225,939,870,031,608,801,431,909,835,504,356,431,241,741,436,407,
107,427,372,458,188,514,653,184,377,352,349,477,154,766,081,040,269,873,443,
643,464,042,153,120,609,017,687,077,456,398,708,419,609,989,425,693,934,012,
775,228,616,292,784,749,560,289,585,291,553,169,216,718,856,296,198,522,127,
092,774,267,471,215,578,922,126,268,024,971,595,063,638,008,194,632,271,375,
874,131,507,167,289,814,721,576,488,754,993,662,991,076,821,026,294,519,748,
927,437,825,512,374,841,533,627,956,112,073,159,577,113,503,071,245,139,396,
837,577,649,262,153,361,814,419,065,980,253,188,885,364,018,565,450,543,799,
367,394,168,521,984,679,797,555,223,039,626,590,069,331,310,332,181,425,839,
666,370,658,702,907,775,388,140,862,472,686,178,994,009,351,356,986,474,184,
776,180,657,835,275,751,085,682,920,198,622,091,522,692,156,492,646,071,650,
092,614,529,750,087,605,355,953,503,667,246,189,244,890,461,566,808,275,059,
446,181,111,843,469,602,539,488,248,679,784,732,579,063,905,391,315,293,032,
451,136,567,655,543,877,489,886,051,507,317,731,213,166,089,163,134,719,293,
633,025,836,791,755,964,935,624,490,098,023,613,794,100,990,870,966,099,345,
111,005,382,146,902,415,790,452,148,515,059,057,798,315,732,705,330,901,435,
820,136,871,924,065,726,073,719,635,290,941,133,598,070,870,005,697,853,340,
666,293,027,632,286,521,084,425,867,928,428,930,363,475,524,540,761,741,767,
073,501,086,550,183,766,809,401,686,865,517,558,271,349,133,102,279,280,678,
526,871,311,374,672,756,499,337,268,437,316,697,782,537,285,668,944,430,744,
638,318,430,318,398,289,990,420,230,988,925,175,980,691,262,884,998,078,812,
248,221,288,863,456,516,656,274,428,882,039,934,659,579,426,684,409,397,522,
793,258,591,300,826,228,250,616,443,284,870,155,756,484,368,196,090,993,179,
131,231,046,130,570,059,609,666,439,539,458,132,386,233,919,352,030,724,343,
686,128,816,354,316,461,433,293,400,549,479,419,247,678,197,952,553,460,133,
049,873,076,303,507,105,039,476,882,216,469,397,067,972,345,424,870,026,732,
441,609,557,998,144,652,046,556,587,729,054,418,745,539,782,631,478,503,626,
396,114,147,024,761,586,557,344,287,942,883,968,737,455,073,279,703,093,756,
495,282,246,569,071,436,682,387,487,614,360,168,135,799,756,909,112,540,520,
745,846,878,346,124,789,433,421,310,731,133,009,204,123,269,595,011,165,039,
807,604,352,976,477,146,835,522,213,772,615,663,427,836,828,017,659,979,399,
453,244,835,231,337,294,450,644,721,251,745,924,694,298,155,792,244,616,921,
934,502,757,203,157,504,770,329,998,965,653,199,046,465,868,923,518,006,931,
355,372,630,986,426,601,342,255,829,109,605,282,847,729,107,076,400,302,973,
664,131,388,591,436,567,361,604,081,862,522,951,880,579,675,782,270,094,970,
613,239,272,432,883,578,258,196,490,698,799,201,858,693,780,652,169,991,872,
681,560,381,260,737,977,836,777,662,062,697,791,004,041,743,788,499,944,970,
537,951,096,371,654,702,200,079,924,240,586,133,222,834,367,600,854,874,934,
059,208,301,823,125,742,553,665,395,255,777,095,926,040,213,345,783,726,558,
399,741,263,288,160,389,827,028,168,627,949,835,731,677,364,504,311,218,309,
846,405,123,575,542,760,372,878,398,811,127,175,013,509,800,355,748,415,321,
954,640,044,565,121,654,691,327,368,884,584,849,536,474,945,431,284,738,956,
386,047,281,707,964,008,562,474,163,119,368,123,695,491,195,683,241,832,653,
132,436,243,728,202,773,068,039,567,169,084,296,464,535,805,292,838,054,544,
631,451,763,294,868,858,364,117,931,836,207,008,251,748,606,755,522,446,882,
108,334,857,668,469,088,763,103,722,653,629,161,469,193,973,710,368,747,841,
514,939,611,579,687,160,123,496,802,484,771,768,624,744,604,035,973,141,015,
484,619,304,975,866,148,369,730,985,268,593,250,078,509,160,474,353,479,726,
046,106,612,336,780,936,157,648,044,036,546,701,235,949,930,293,243,660,972,
175,955,747,174,674,815,596,860,128,702,875,356,326,879,962,476,521,568,256,
770,343,203,682,563,118,510,671,180,720,581,445,218,856,267,155,389,753,133,
317,013,696,941,810,514,957,145,760,862,193,845,720,755,505,572,574,694,444,
678,405,365,293,969,897,958,929,532,661,311,773,581,252,149,845,438,253,930,
851,398,552,229,274,307,472,399,549,886,910,078,893,673,418,352,287,236,387,
016,759,856,228,445,709,582,379,833,627,209,347,761,198,975,862,153,765,267,
032,561,258,359,845,355,397,031,640,616,295,778,597,023,090,080,379,419,792,
947,886,950,799,374,613,068,833,587,196,975,425,631,505,958,419,716,487,887,
883,746,137,815,215,097,551,903,518,725,787,278,515,988,371,272,700,513,655,
557,605,845,450,253,671,142,089,100,574,015,862,196,777,664,813,172,284,555,
558,777,387,530,755,556,279,172,949,821,675,316,310,037,488,592,187,772,512,
462,419,546,149,374,943,101,376,888,869,898,480,762,289,544,765,075,233,977,
143,208,959,748,109,030,309,557,792,861,586,270,313,351,872,202,582,791,134,
109,364,739,809,815,052,499,783,139,418,477,079,042,560,769,349,180,806,627,
287,303,396,697,081,805,453,954,775,903,383,904,470,417,120,390,450,336,533,
180,882,568,675,024,607,735,114,776,273,074,897,379,552,336,900,719,692,621,
243,651,985,623,224,351,594,385,702,308,527,188,680,724,405,000,860,699,581,
075,478,126,382,912,235,190,971,155,587,856,449,284,832,725,346,588,169,749,
927,130,005,933,234,742,169,581,951,101,877,554,910,667,408,707,440,541,874,
634,549,818,191,639,906,561,937,471,225,341,212,360,362,873,645,468,049,335,
722,637,929,711,248,016,747,232,998,644,059,791,378,073,515,527,189,462,240,
561,464,944,866,496,441,393,443,640,033,845,537,706,677,668,013,180,524,012,
747,137,772,278,707,065,116,915,769,046,713,627,218,202,429,953,333,992,187,
653,153,634,644,429,664,861,883,674,980,756,571,450,329,509,363,548,551,994,
614,473,875,729,354,276,072,383,382,533,067,049,719,746,078,440,045,866,443,
698,689,501,532,501,943,189,006,212,753,102,783,046,955,578,407,236,496,127,
041,359,605,452,448,125,761,718,736,045,410,089,125,406,413,099,642,907,168,
485,801,308,738,064,499,962,711,558,168,214,732,742,451,855,504,789,727,225,
930,800,227,240,413,819,896,759,727,017,500,427,723,841,263,444,649,475,244,
769,751,881,145,554,967,502,328,204,347,741,570,416,747,937,800,860,394,234,
742,933,740,541,622,726,277,811,848,113,192,035,385,878,966,612,157,725,034,
015,181,712,858,671,975,789,907,282,679,821,666,041,933,705,409,719,823,989,
420,234,794,741,187,879,008,008,236,707,013,429,947,767,951,508,777,679,029,
104,520,700,116,240,426,408,082,749,019,367,870,880,809,733,146,986,563,421,
743,074,980,188,021,701,037,609,807,698,940,614,872,770,137,915,099,571,043,
567,210,171,179,605,768,295,463,375,344,541,767,399,001,863,191,220,662,085,
881,457,330,946,222,446,446,518,568,338,436,468,975,976,173,927,967,876,371,
412,586,686,150,021,918,080,260,726,018,585,879,681,531,442,598,324,805,807,
115,119,706,266,963,200,770,044,148,625,326,891,267,946,466,554,154,337,719,
145,510,831,270,942,851,056,403,568,644,427,144,235,716,819,358,881,500,868,
857,580,526,370,674,633,149,599,768,836,296,182,565,513,862,290,875,341,069,
951,294,501,622,189,454,191,988,592,340,715,749,545,387,406,118,977,091,169,
398,175,514,230,642,078,630,178,617,837,990,874,474,970,644,116,657,539,758,
376,022,936,578,452,454,394,998,714,229,463,136,790,100,010,917,272,114,057,
486,067,294,703,103,366,251,293,144,839,124,101,692,524,607,927,677,863,733,
238,181,692,525,503,091,048,893,338,961,364,817,461,942,413,435,761,692,475,
226,971,064,904,456,157,819,979,907,638,607,712,224,165,903,875,957,598,150,
858,008,310,772,162,702,230,350,210,427,865,683,155,511,322,878,545,026,346,
566,357,941,003,837,007,183,301,664,741,045,095,134,580,405,266,971,487,694,
386,631,210,294,904,095,261,611,728,820,100,116,981,119,967,070,316,038,401,
122,072,902,815,689,321,346,725,148,655,406,688,115,588,315,263,194,659,776,
021,193,165,521,082,232,759,152,791,558,576,394,188,502,513,603,354,154,544,
669,647,670,894,781,408,540,632,973,268,153,648,949,301,077,049,898,671,013,
502,357,878,375,588,349,017,562,169,256,786,550,870,502,942,478,724,711,989,
892,513,819,050,599,274,312,650,056,565,850,661,104,532,495,538,104,690,573,
109,476,799,353,272,637,500,053,501,234,759,637,241,045,185,773,443,108,230,
174,647,359,108,022,594,617,408,840,936,271,226,722,238,378,847,238,958,125,
464,579,536,949,322,761,724,314,816,982,432,537,806,824,958,659,504,389,022,
684,429,113,047,502,386,018,901,317,313,108,030,166,661,057,234,344,280,138,
285,415,058,692,181,017,115,303,192,816,490,600,434,816,786,773,296,578,587,
662,361,398,130,500,056,195,275,529,607,013,914,374,368,473,673,822,113,608,
583,849,036,537,852,895,211,340,448,549,265,712,897,519,376,355,811,798,039,
365,497,903,039,997,456,537,503,264,417,911,302,425,492,056,212,262,463,917,
055,326,526,014,043,118,166,769,979,752,048,402,972,790,866,466,628,461,027,
440,371,008,397,361,501,143,615,204,830,969,263,641,220,970,417,847,700,494,
048,341,915,549,346,698,421,009,841,661,719,128,926,625,049,030,054,491,911,
331,364,167,285,959,701,457,051,935,910,933,101,811,317,300,850,349,348,280,
378,761,073,307,087,261,717,320,970,964,260,975,255,742,295,556,496,489,803,
274,055,506,638,506,523,729,637,284,346,856,326,045,863,255,679,019,084,165,
196,903,547,642,056,609,564,859,430,228,975,567,228,011,088,724,513,432,962,
358,752,277,223,089,626,929,607,662,836,541,275,488,959,372,186,530,645,267,
333,868,771,884,338,751,516,948,397,869,120,540,504,812,298,979,156,915,553,
084,716,183,615,159,862,454,693,226,957,355,575,351,265,687,622,318,716,520,
327,734,760,721,593,394,030,851,107,872,395,332,474,047,558,055,216,882,273,
349,289,568,993,326,971,056,145,076,243,959,307,870,726,115,494,075,926,189,
936,771,251,711,408,962,824,111,098,910,612,495,881,126,267,938,057,306,125,
811,510,974,084,156,865,132,747,875,879,934,440,090,718,123,381,307,850,644,
188,082,245,677,278,990,611,061,779,556,177,685,953,013,896,081,992,175,942,
137,763,715,409,345,200,645,329,157,871,778,377,790,701,348,085,516,296,598,
042,049,583,669,716,014,114,774,043,973,235,087,391,680,223,249,775,779,046,
034,444,083,109,797,238,689,580,659,055,856,830,580,561,732,366,095,915,310,
551,673,513,994,609,163,127,741,294,660,090,208,640,030,019,993,448,373,617,
768,698,547,138,931,323,191,721,022,720,391,593,846,608,582,845,420,920,304,
693,478,144,632,270,018,775,687,936,412,693,964,665,038,159,475,517,254,120,
858,041,032,386,035,315,366,748,537,861,572,381,180,357,443,759,636,267,458,
044,853,584,840,018,971,093,368,023,477,002,259,851,528,560,449,652,630,182,
984,688,482,066,581,515,932,820,107,692,209,475,507,972,786,589,594,734,725,
973,360,215,574,443,000,104,648,476,583,351,076,809,704,678,175,600,732,288,
374,997,367,458,850,061,054,139,318,518,087,485,630,708,595,950,721,139,039,
960,440,385,466,559,538,990,221,538,287,951,519,797,705,263,379,897,488,733,
851,758,936,166,526,244,816,786,589,617,556,668,652,808,816,268,456,224,357,
873,012,532,397,492,016,393,289,431,285,205,364,586,663,556,081,494,868,593,
400,063,645,401,197,943,191,439,110,116,164,338,408,619,137,732,986,876,183,
209,274,897,280,879,963,875,459,677,032,183,515,133,054,484,657,850,995,557,
539,819,352,996,018,417,521,934,131,443,643,015,306,713,045,731,697,873,356,
409,571,604,775,267,248,513,042,991,821,686,426,187,686,611,403,603,031,394,
121,559,386,440,192,540,966,180,521,699,768,058,561,882,419,673,724,877,670,
446,496,955,343,520,299,138,403,582,360,957,766,892,232,681,890,605,770,322,
512,327,549,878,713,316,319,140,144,749,359,071,333,536,665,299,972,535,961,
399,682,500,922,048,870,108,910,118,863,696,600,147,932,932,182,351,543,034,
416,517,784,756,142,173,808,108,425,006,635,607,452,749,413,004,334,361,233,
386,049,047,759,415,706,254,900,942,946,937,768,720,261,812,309,640,150,928,
447,655,635,704,949,515,964,319,054,001,653,711,301,172,174,715,951,841,035,
145,870,307,059,794,466,070,325,158,944,319,807,697,673,975,866,151,948,079,
595,881,390,643,202,220,972,873,442,763,088,547,113,042,492,043,691,096,353,
188,422,689,250,381,047,567,046,770,194,940,761,464,003,906,480,245,883,523,
669,077,276,589,911,946,675,475,882,719,328,031,454,814,358,051,883,496,921,
143,399,709,742,579,452,744,106,009,865,465,314,833,701,851,445,253,885,815,
433,269,203,934,608,130,060,890,841,459,526,885,554,568,550,913,154,434,112,
981,254,630,475,522,440,795,734,480,934,211,530,111,827,710,952,507,331,097,
470,390,170,463,015,746,481,710,750,772,159,653,660,636,969,998,748,112,934,
215,803,207,947,678,285,963,994,447,022,403,335,508,297,200,769,226,606,157,
123,093,413,468,940,023,797,092,250,051,590,450,539,152,184,171,380,170,439,
408,296,546,783,593,408,349,180,854,731,629,666,735,657,949,741,166,893,475,
347,180,194,890,237,750,340,152,908,793,885,878,961,232,208,757,018,205,241,
040,130,515,884,863,201,540,231,153,609,719,842,746,876,049,552,677,549,027,
605,438,259,627,591,721,822,850,060,232,885,095,496,087,421,619,363,986,333,
796,160,963,721,633,324,741,774,049,823,263,737,011,668,008,447,630,239,692,
173,361,079,472,542,333,948,132,233,847,352,674,876,946,340,418,183,600,227,
995,927,116,589,154,842,170,871,365,813,185,770,948,761,926,490,725,837,907,
130,012,912,715,507,548,334,227,272,377,380,984,592,963,559,077,323,759,151,
406,361,810,308,096,348,434,801,221,498,387,859,712,844,734,004,343,292,493,
171,173,835,570,202,361,437,934,746,826,891,470,551,552,683,760,845,137,570,
658,774,752,310,899,047,094,778,307,886,238,279,793,226,400,033,874,556,910,
844,608,454,800,252,172,915,249,383,262,571,427,414,103,199,430,626,627,071,
481,792,367,350,593,048,864,932,445,939,911,359,914,739,317,886,721,180,162,
422,505,612,923,165,469,256,729,910,497,091,818,391,753,862,372,212,315,199,
178,574,411,390,969,938,837,216,884,434,350,638,843,104,446,370,870,803,694,
417,952,232,829,480,853,709,091,103,423,961,850,863,574,140,171,568,541,878,
702,150,944,716,851,424,576,111,706,137,950,542,577,447,358,839,903,574,053,
916,502,276,794,560,945,957,809,059,956,653,129,952,819,687,639,155,579,297,
127,290,743,295,883,084,530,692,742,197,788,881,108,734,765,520,586,978,783,
818,819,033,166,216,331,716,841,712,552,541,094,223,180,168,911,528,367,059,
033,404,815,269,004,613,904,019,804,659,343,213,037,252,460,373,460,018,044,
509,744,499,558,299,179,329,647,391,294,956,017,638,953,558,020,234,773,371,
688,486,043,362,674,237,822,923,313,690,746,478,246,345,464,258,303,668,655,
018,643,320,407,273,378,782,565,524,778,289,930,347,551,931,354,473,452,337,
117,256,873,185,125,264,212,121,887,447,573,156,357,336,705,575,237,363,538,
760,798,946,896,326,944,546,512,928,912,916,396,815,287,927,597,913,080,351,
952,167,533,313,886,781,770,913,316,211,174,074,763,744,886,611,568,106,177,
183,048,155,205,351,743,137,527,598,843,653,955,573,260,013,104,892,259,663,
572,175,085,782,895,583,567,644,976,130,224,358,017,024,240,308,006,301,474,
592,260,524,329,975,555,249,891,472,835,513,558,676,421,151,434,168,007,032,
367,788,779,355,551,375,396,788,201,900,532,546,301,679,096,261,690,317,537,
884,053,443,049,234,831,195,649,270,922,420,544,558,113,021,556,373,072,398,
302,657,214,101,915,035,253,557,563,935,490,236,940,502,003,399,968,665,402,
197,740,656,790,375,119,236,898,638,288,387,035,873,619,937,356,690,634,753,
771,912,011,270,270,610,928,711,899,067,729,728,621,261,198,227,924,906,761,
604,539,685,382,855,177,726,047,512,328,673,053,822,533,173,290,211,567,336,
343,500,009,481,125,157,277,232,434,263,321,724,340,678,218,142,699,285,438,
740,987,371,879,551,427,521,719,736,107,895,286,150,028,970,132,691,826,706,
736,714,914,826,143,863,156,104,852,338,143,444,757,293,241,216,928,260,105,
798,047,264,819,246,112,378,432,161,960,614,407,038,153,102,924,954,724,681,
692,312,216,722,416,650,874,344,754,867,432,105,922,931,821,954,304,939,361,
213,073,309,903,344,195,463,493,095,821,027,584,503,423,399,415,679,435,131,
274,958,499,877,371,783,801,182,068,280,987,143,378,496,746,093,622,560,290,
089,512,362,318,754,891,411,976,045,344,701,618,928,415,734,959,531,600,985,
287,097,154,630,860,073,891,291,195,054,270,576,780,243,910,853,965,840,269,
557,308,303,286,561,722,252,911,691,469,244,755,757,345,304,595,533,531,546,
710,684,997,625,305,892,584,942,586,900,702,319,910,546,852,811,344,210,770,
117,361,206,163,736,365,204,464,798,070,906,515,770,395,942,329,481,988,629,
217,312,226,862,203,494,198,148,682,545,556,516,724,216,557,316,095,233,615,
770,111,249,675,739,166,724,787,108,388,564,247,982,729,554,750,642,029,686,
388,726,198,753,463,651,412,189,963,095,170,853,368,692,515,360,464,434,660,
442,279,938,987,164,261,665,821,856,313,193,796,536,839,911,858,718,004,279,
498,687,994,251,647,888,794,997,469,289,754,116,319,332,175,498,613,831,011,
764,662,444,835,876,572,982,761,589,181,575,995,343,324,499,346,286,450,452,
261,462,429,574,017,605,383,328,073,387,987,995,596,506,071,496,667,680,555,
723,167,439,952,600,151,249,012,142,794,865,664,721,021,626,574,212,464,194,
196,581,017,265,932,391,859,511,422,426,814,711,026,983,177,333,719,799,530,
849,068,427,766,373,644,975,819,801,947,297,206,913,407,492,343,018,826,865,
134,482,634,266,893,453,863,288,590,881,849,857,002,470,484,466,824,397,147,
446,391,697,878,660,098,023,761,665,755,648,607,097,870,710,095,256,212,055,
820,122,828,031,316,799,330,726,118,351,193,452,209,153,601,838,565,561,393,
832,830,781,973,196,463,047,941,995,684,922,077,467,143,620,035,194,518,363,
948,579,607,256,903,239,046,212,643,533,319,423,276,600,971,047,680,537,552,
640,174,838,919,232,354,401,130,604,848,203,031,950,248,848,657,825,362,201,
573,409,688,079,606,326,267,824,646,470,959,291,156,649,565,120,862,239,003,
462,995,944,144,003,373,970,900,050,827,819,911,841,671,693,088,970,387,367,
191,288,956,031,361,352,012,506,817,744,341,497,318,664,453,943,655,527,129,
559,652,153,149,570,869,588,114,962,388,110,380,681,763,037,678,991,069,368,
247,270,671,924,056,114,669,422,734,420,539,919,022,709,414,601,932,993,700,
912,990,922,459,495,738,246,913,923,866,294,249,722,679,211,887,359,398,350,
225,341,594,010,093,416,000,553,769,899,310,928,973,861,011,929,188,805,962,
335,265,608,711,262,118,098,001,300,729,961,752,210,560,943,907,074,878,515,
539,033,261,473,876,846,980,936,911,100,763,747,529,574,033,468,277,423,528,
918,909,832,558,330,512,072,881,581,458,368,723,111,611,106,551,366,445,104,
767,510,704,466,750,653,176,113,734,267,049,470,956,198,438,459,973,689,613,
541,826,868,961,245,286,115,906,277,538,246,014,069,209,113,606,198,320,359,
730,963,236,114,817,019,835,428,821,398,301,937,668,103,483,484,051,912,599,
383,435,065,494,756,853,940,634,880,638,583,704,101,979,642,382,926,300,642,
369,618,041,165,817,684,273,176,231,242,415,685,172,620,652,958,669,604,552,
819,047,794,313,386,202,026,407,655,370,824,291,138,200,598,998,241,373,222,
348,331,012,970,824,183,796,534,226,832,627,151,463,458,551,300,246,754,737,
051,474,728,383,708,243,391,756,034,898,714,490,373,934,453,838,806,764,670,
870,470,774,706,425,990,246,735,883,421,222,507,418,050,596,467,073,677,463,
573,354,684,218,730,127,366,060,949,072,698,806,199,092,798,518,271,535,866,
822,807,685,420,143,509,750,972,578,677,366,544,493,896,239,994,548,137,538,
844,668,212,308,310,764,438,579,777,921,519,798,823,451,100,872,627,681,367,
800,207,212,783,583,144,097,035,541,654,228,594,506,528,007,566,421,646,193,
167,062,020,967,569,802,792,685,964,656,075,441,959,734,672,610,696,696,422,
754,180,649,698,001,234,946,835,838,299,876,459,720,388,084,623,926,324,350,
432,001,676,672,260,088,860,872,752,221,507,088,227,294,374,918,960,247,452,
049,775,453,969,100,481,628,294,786,523,349,580,199,490,010,138,116,054,678,
448,728,647,095,309,420,664,070,555,491,103,543,700,152,895,045,848,697,231,
990,924,581,759,961,238,048,249,627,536,027,985,338,526,336,862,683,475,920,
393,416,746,693,388,800,162,823,415,259,374,885,405,732,313,317,618,742,762,
609,540,363,478,242,096,022,701,254,495,066,494,664,026,025,912,148,566,599,
250,221,135,989,977,195,184,392,993,680,105,235,037,265,426,238,577,888,857,
451,819,441,117,988,384,186,555,573,411,908,500,359,401,771,858,984,957,239,
556,676,501,713,482,076,903,861,000,752,840,589,850,912,795,513,689,124,460,
088,372,838,158,111,187,427,417,393,665,528,770,583,783,480,700,399,527,005,
157,418,000,758,370,877,877,321,460,347,099,350,573,127,054,589,297,338,604,
607,434,983,280,457,101,748,064,789,552,852,479,426,796,919,887,769,331,216,
062,503,077,899,613,907,691,751,269,930,152,698,562,634,182,102,948,930,657,
842,577,004,748,249,840,748,554,433,018,611,809,502,166,642,386,013,593,086,
061,417,165,171,334,921,075,819,856,248,019,326,398,391,745,206,228,588,997,
334,559,065,656,135,150,720,140,031,668,284,346,322,905,929,037,917,321,576,
241,233,876,808,864,375,805,184,889,972,605,130,111,711,300,237,126,735,793,
490,121,950,026,870,008,821,198,139,844,948,259,663,996,737,580,735,211,468,
944,614,300,441,564,646,491,276,751,505,993,691,895,484,276,090,602,872,066,
930,724,799,608,067,670,986,547,892,346,145,455,828,282,766,543,185,624,026,
224,189,738,379,528,567,027,393,033,399,797,352,466,767,468,948,402,075,416,
888,463,543,239,896,628,238,769,253,997,153,612,559,512,881,794,320,719,361,
916,957,350,196,579,090,100,595,165,839,656,361,179,682,338,466,714,158,998,
904,104,500,835,844,867,842,592,715,467,199,560,379,055,967,290,621,339,254,
760,140,785,162,977,172,634,290,638,431,996,899,007,656,223,295,846,965,620,
643,380,861,733,678,243,315,707,536,657,699,376,656,906,497,731,520,233,231,
474,219,005,541,887,154,524,728,563,960,000,381,469,184,207,928,413,405,049,
895,817,433,583,482,974,278,191,280,473,149,124,320,197,987,451,644,147,951,
614,936,790,260,746,618,043,211,199,334,944,621,917,301,906,042,831,682,687,
583,491,579,165,199,224,773,024,820,077,649,876,224,160,801,111,182,952,957,
363,780,263,054,400,257,914,408,407,723,154,292,787,937,092,831,873,665,752,
890,794,725,441,175,582,540,687,601,571,744,203,797,714,984,435,113,923,397,
708,913,208,265,121,044,573,923,975,271,765,485,672,913,097,374,090,585,610,
551,146,656,841,849,948,740,154,543,770,464,744,075,934,976,758,222,749,170,
197,468,522,192,064,319,243,818,657,395,820,924,511,425,285,991,993,454,654,
545,365,996,954,595,175,528,028,255,334,533,864,656,473,269,759,087,499,038,
694,815,194,215,469,356,975,432,321,351,132,245,640,615,675,060,127,943,794,
333,457,792,645,863,515,055,804,563,992,505,842,394,508,117,628,970,369,397,
713,996,169,270,569,758,826,848,234,426,096,031,477,639,405,561,086,877,956,
481,069,015,595,582,306,787,720,991,899,843,368,350,916,663,585,308,785,728,
815,707,482,146,151,829,418,303,907,493,580,928,452,479,853,953,758,355,744,
654,687,033,707,987,638,695,909,042,830,119,004,847,777,696,547,786,603,495,
842,197,405,478,890,782,094,796,473,128,692,057,430,080,645,473,810,247,158,
061,659,374,362,357,515,480,674,891,660,753,451,018,836,297,643,962,483,238,
073,030,756,638,841,603,754,218,036,155,106,649,615,737,134,376,852,420,851,
856,372,697,734,439,204,302,515,781,828,377,479,082,668,626,163,562,252,721,
395,075,571,011,306,231,592,379,641,038,703,261,716,821,129,345,898,657,866,
066,031,971,624,358,535,040,067,162,335,233,774,478,780,550,450,906,665,926,
158,759,662,167,905,769,931,519,076,354,810,592,782,304,599,700,103,167,982,
050,022,585,738,990,880,759,291,230,115,533,363,163,864,873,838,811,360,983,
592,466,645,907,526,727,776,108,601,347,147,141,724,471,088,758,840,665,800,
280,420,081,797,319,096,588,941,289,188,477,545,177,234,700,299,978,882,411,
808,748,281,385,830,469,761,548,902,193,946,946,519,105,170,875,572,465,877,
126,047,144,990,537,764,080,036,466,235,006,412,079,312,884,134,888,034,251,
849,694,639,885,359,869,619,743,924,285,715,012,154,939,789,077,143,356,452,
138,386,877,365,977,678,216,668,622,938,381,495,657,586,216,401,080,545,919,
883,622,113,009,605,518,675,189,369,719,086,452,070,613,131,313,764,615,059,
011,868,442,372,938,928,714,164,452,152,027,833,988,108,670,651,575,671,038,
155,948,485,880,985,385,356,145,351,777,614,855,285,338,655,726,434,034,450,
316,149,442,798,291,843,993,495,315,756,649,869,340,902,637,278,287,664,404,
449,731,877,419,036,125,574,717,229,634,871,719,362,974,020,710,420,266,182,
351,109,643,015,007,329,925,424,561,080,041,259,401,879,474,204,060,604,676,
977,794,361,217,263,098,146,038,832,389,987,994,931,709,821,145,232,867,921,
822,282,375,665,930,080,540,007,212,063,552,889,223,621,734,033,506,116,742,
343,672,225,199,141,204,027,554,985,794,922,778,130,329,176,641,195,570,454,
968,996,533,082,999,047,767,419,215,466,042,946,940,322,041,231,866,745,243,
326,544,702,378,607,418,856,445,789,496,958,193,266,404,948,769,324,378,870,
322,290,123,646,653,869,353,663,794,381,398,158,833,239,108,849,841,751,384,
854,453,490,596,725,728,252,703,067,161,412,057,500,361,081,123,403,989,571,
232,306,684,230,558,000,120,536,789,434,338,323,112,203,022,164,132,541,365,
781,495,572,829,620,426,207,512,903,030,109,044,595,088,237,471,416,338,045,
458,204,298,619,729,011,912,258,654,450,914,822,360,516,344,395,985,065,357,
346,833,160,678,077,282,376,997,404,757,687,920,832,345,534,534,887,860,623,
964,382,505,005,347,324,092,603,383,924,918,969,114,479,585,445,023,743,054,
231,179,880,862,828,062,848,494,203,038,463,850,162,422,320,331,996,419,741,
943,581,802,499,111,944,752,777,997,313,467,361,011,394,398,449,910,441,208,
817,350,759,496,480,500,884,219,289,503,363,768,233,724,403,630,582,828,530,
120,158,368,060,166,786,838,284,563,745,071,714,068,420,658,473,866,129,249,
868,364,300,727,967,013,110,727,304,472,952,437,095,261,222,508,048,388,814,
464,545,607,836,780,490,328,084,779,233,372,775,165,571,812,102,796,753,000,
807,544,460,469,283,178,178,820,457,619,003,901,508,394,087,994,602,696,044,
255,579,350,516,085,643,226,798,759,932,809,062,414,232,181,686,373,291,336,
758,610,520,206,951,556,909,215,612,765,053,147,367,661,228,503,144,075,328,
705,545,390,108,858,287,412,249,086,581,390,372,283,382,545,801,167,609,673,
329,420,263,357,064,574,884,301,470,436,505,875,982,792,863,694,107,174,411,
453,505,741,823,307,325,831,320,541,058,563,494,766,996,093,106,912,709,270,
276,074,261,552,692,579,498,301,913,811,416,810,137,573,352,780,367,739,532,
900,372,631,758,635,994,346,385,803,565,943,608,921,986,118,793,929,898,456,
032,186,591,899,681,852,249,558,734,360,213,005,414,840,623,302,133,016,663,
869,716,724,212,737,195,998,879,747,470,941,071,993,504,156,825,962,395,387,
542,190,538,028,036,798,967,897,188,651,301,730,698,868,337,610,257,898,731,
539,886,217,123,989,480,898,125,160,505,717,941,814,707,958,043,079,658,455,
980,266,528,504,199,475,303,558,859,553,896,878,549,370,862,450,685,682,310,
216,437,246,679,201,264,499,519,710,141,830,378,895,118,569,994,912,061,131,
424,654,460,908,513,057,702,340,077,936,169,341,835,942,375,438,174,821,291,
564,299,211,113,909,743,793,978,671,959,073,165,994,361,489,898,348,585,203,
826,669,962,604,031,383,550,065,031,838,228,234,479,772,767,761,385,855,905,
043,775,299,335,194,534,203,636,229,190,446,597,236,569,216,032,837,249,596,
201,550,580,787,233,080,985,176,832,823,967,883,365,668,799,400,634,402,077,
228,206,310,151,743,520,484,075,927,300,764,794,065,940,250,117,610,437,710,
823,958,594,138,441,181,368,030,646,332,592,910,238,664,671,900,527,467,051,
183,965,317,572,034,952,096,427,005,509,146,658,789,463,374,792,518,017,964,
229,360,138,992,027,407,122,049,325,762,911,503,155,534,471,344,144,394,632,
132,651,969,554,728,431,865,833,373,637,512,140,307,430,663,783,699,024,767,
609,000,565,023,689,428,764,151,505,396,548,686,273,904,977,763,153,683,261,
332,327,459,334,884,941,507,748,821,168,389,008,990,861,789,756,445,814,632,
386,584,882,140,231,316,471,686,035,637,032,367,408,287,428,729,680,965,402,
959,845,624,237,079,930,597,285,833,858,230,214,220,246,386,959,469,485,795,
665,018,276,326,101,974,474,927,617,000,814,550,883,526,674,667,132,649,109,
128,097,421,446,958,276,497,622,050,874,268,389,494,602,665,112,278,873,643,
425,400,937,209,581,166,187,305,199,307,234,600,321,823,365,330,700,777,387,
155,393,136,250,625,701,752,743,892,767,330,901,839,362,039,326,315,520,773,
911,034,583,651,867,459,215,114,368,403,235,934,138,112,003,942,309,004,259,
246,774,759,197,137,192,466,824,869,509,554,916,733,502,013,634,312,105,276,
467,651,309,580,332,806,631,707,892,767,344,130,793,118,105,161,369,560,559,
950,747,121,517,478,423,413,317,855,547,824,932,033,402,168,660,616,232,947,
256,299,354,647,266,318,456,328,522,400,438,629,262,802,063,862,622,652,354,
054,562,218,589,452,942,325,631,914,512,838,924,581,148,979,637,866,069,540,
096,197,253,021,394,118,268,895,074,552,090,028,804,081,399,969,871,888,412,
905,549,905,301,832,851,302,003,900,720,952,455,202,162,696,489,309,123,884,
415,370,188,135,881,263,302,194,633,303,590,136,738,494,387,560,330,965,137,
018,876,437,004,856,391,304,523,521,960,751,737,577,899,493,668,188,521,138,
830,361,041,654,819,147,240,230,729,577,703,007,526,509,190,277,946,910,882,
260,068,831,929,995,155,931,713,528,474,932,093,079,162,602,923,143,962,171,
796,230,293,077,109,074,674,775,257,848,440,773,243,665,563,836,994,158,335,
501,468,683,070,936,130,488,999,895,791,224,956,724,133,062,828,412,679,917,
913,528,338,912,170,806,724,563,773,438,927,494,605,764,475,340,762,146,832,
793,575,535,378,868,067,497,005,149,058,327,780,217,169,409,609,278,455,339,
139,813,141,330,961,363,580,551,534,365,909,761,961,967,105,856,729,144,340,
789,860,692,378,868,605,001,127,313,304,064,146,738,758,777,896,093,052,869,
787,762,849,855,984,664,580,843,686,047,555,353,686,921,550,458,049,813,277,
673,540,929,034,934,440,897,194,960,968,288,648,499,585,693,017,552,006,024,
416,459,695,230,495,279,033,801,355,831,664,787,520,228,099,474,915,633,955,
698,900,404,244,252,467,513,541,666,276,478,153,098,990,784,157,819,403,449,
097,744,002,725,551,096,356,602,125,186,114,422,726,458,914,561,734,637,331,
776,267,731,061,433,295,907,555,867,885,163,147,610,166,143,073,390,578,757,
144,638,973,852,627,950,311,250,190,738,497,152,529,642,547,762,484,922,231,
848,510,865,247,169,180,550,802,146,229,804,069,934,283,576,663,257,185,655,
034,023,987,624,330,828,839,420,636,126,322,024,322,854,581,674,525,905,305,
915,880,865,264,274,403,646,850,069,541,953,464,822,492,289,978,977,756,732,
409,517,023,648,822,318,468,921,318,198,122,821,011,679,250,480,541,974,937,
242,734,374,395,992,323,318,962,361,724,540,481,448,910,040,125,198,837,561,
378,721,697,661,859,128,499,351,895,620,471,790,775,640,915,112,923,044,503,
068,191,421,747,483,213,230,928,346,895,568,490,162,513,679,325,032,140,869,
840,561,473,507,661,230,700,201,168,294,370,273,386,778,376,404,933,979,970,
202,021,689,560,612,836,588,534,498,610,435,439,665,978,557,460,450,300,965,
779,128,558,651,250,739,088,971,844,881,759,780,413,935,376,174,407,350,559,
565,431,927,006,113,606,963,950,429,279,027,193,201,898,810,568,833,461,581,
598,801,722,021,389,529,491,440,059,783,420,037,708,655,366,903,315,139,139,
481,636,972,061,117,962,664,278,388,840,627,599,062,207,215,998,083,215,336,
278,350,441,202,647,887,104,888,464,465,916,701,328,092,034,488,618,775,670,
915,923,181,160,144,842,691,511,524,247,069,726,316,315,899,710,535,707,796,
088,634,325,728,756,576,416,436,332,567,658,131,234,521,156,747,938,843,547,
172,142,306,094,173,836,606,295,495,805,682,866,359,671,892,885,376,777,735,
352,304,561,123,781,752,667,341,251,239,455,988,233,689,462,665,630,097,277,
890,800,392,904,483,822,677,999,878,327,926,910,068,485,406,360,657,286,708,
249,717,599,376,491,048,273,788,053,549,830,843,713,029,535,281,503,115,678,
261,369,193,194,753,514,306,903,140,218,478,707,265,682,462,194,557,125,786,
900,246,208,461,920,373,608,845,744,897,296,200,524,910,830,979,087,343,474,
871,359,879,587,588,691,633,518,427,364,753,645,195,096,995,751,214,519,525,
921,150,437,031,607,448,871,223,534,178,914,274,815,947,801,257,025,336,263,
516,380,590,201,864,373,964,572,500,647,672,757,676,354,959,253,934,241,593,
296,206,882,788,465,172,305,434,897,665,994,672,916,516,646,766,255,860,233,
903,901,628,854,655,033,433,108,873,278,353,190,662,936,634,350,173,130,910,
625,971,193,263,802,698,449,211,712,852,822,997,890,760,751,640,658,340,767,
858,849,478,459,323,076,457,596,560,166,410,736,604,698,794,472,151,800,418,
196,136,636,087,411,751,235,838,980,509,832,350,731,290,498,593,749,235,092,
467,857,947,370,131,383,389,699,751,417,915,474,489,767,211,881,352,865,490,
363,352,673,210,787,078,107,422,927,058,229,210,966,351,355,499,472,837,382,
711,623,695,926,873,916,469,926,358,040,746,767,577,043,609,633,118,765,981,
287,549,754,893,179,262,792,751,451,099,082,763,820,925,583,180,128,064,988,
580,235,474,032,850,783,537,323,283,615,432,934,904,781,480,048,666,850,054,
822,118,226,261,266,846,678,345,434,329,375,508,877,388,463,895,235,474,215,
289,369,927,987,476,965,399,974,947,663,148,780,835,376,584,712,024,561,487,
609,076,625,779,730,444,163,038,078,013,705,443,875,675,051,248,110,833,860,
076,232,389,104,664,858,292,972,877,850,771,518,726,739,975,778,459,970,855,
204,299,310,855,712,074,713,334,168,810,721,161,537,393,719,627,111,800,073,
060,795,095,938,333,578,815,129,794,123,671,211,836,560,493,008,025,482,012,
564,899,400,130,069,792,462,048,414,277,398,160,146,883,054,159,903,797,963,
248,674,986,138,026,497,095,740,785,337,140,219,751,635,531,210,842,952,745,
724,558,365,102,419,196,896,681,089,476,485,488,879,238,710,884,538,845,394,
062,123,337,081,021,127,920,586,864,505,623,236,383,195,961,582,030,327,394,
547,623,212,412,210,050,845,956,093,385,114,897,092,734,158,546,619,104,804,
219,195,539,039,436,634,992,180,705,878,957,331,627,929,916,637,400,130,608,
221,089,941,308,838,786,411,645,210,640,111,934,145,021,435,487,190,369,270,
082,080,790,681,665,105,768,157,182,763,879,975,917,468,558,804,752,272,312,
528,057,333,079,298,573,549,398,517,206,660,957,447,550,630,541,654,397,492,
223,645,726,612,941,298,593,907,567,548,370,187,186,261,051,939,046,519,119,
099,711,112,015,254,745,097,399,766,108,319,308,516,124,542,030,406,188,150,
720,931,655,342,961,197,530,240,094,264,324,781,472,034,151,425,415,497,592,
752,174,708,645,243,927,214,162,293,790,685,240,669,550,802,747,073,445,887,
910,537,932,039,867,626,453,696,088,188,595,301,461,399,501,710,491,267,225,
758,980,794,123,024,305,445,108,186,701,040,405,848,968,709,221,834,657,492,
553,271,319,578,283,375,673,990,150,975,263,613,243,153,128,837,445,675,584,
518,038,761,454,438,951,561,269,664,571,929,935,109,597,733,850,242,468,115,
668,455,248,352,465,595,238,500,040,788,066,034,374,877,612,013,576,492,643,
105,941,046,369,679,101,568,105,051,908,895,355,570,506,558,055,665,833,411,
912,571,707,521,609,691,238,898,903,669,838,981,283,889,670,157,472,451,759,
923,470,578,853,074,959,103,849,973,501,125,661,861,270,780,356,454,790,162,
960,422,507,394,011,782,422,957,020,769,795,376,187,239,937,834,825,624,256,
819,030,017,746,852,785,663,122,680,659,989,780,596,252,781,002,654,456,073,
759,792,453,571,344,617,370,593,307,451,152,086,386,066,830,574,883,554,170,
298,310,962,987,199,984,467,665,384,024,547,787,950,799,746,710,485,397,533,
182,830,503,398,793,472,602,337,660,661,299,714,661,101,956,671,575,278,930,
652,281,737,376,599,114,470,169,297,227,121,475,605,549,578,164,111,202,427,
942,813,516,681,440,467,972,195,281,106,190,364,434,555,171,385,155,754,651,
659,968,960,738,267,188,911,873,948,816,820,824,896,622,275,620,111,454,075,
340,461,057,253,505,620,490,823,996,172,338,693,232,313,380,927,499,808,318,
616,754,014,476,038,141,256,870,314,312,702,517,312,734,717,406,318,671,020,
947,906,043,798,925,294,011,598,813,561,822,798,947,311,382,843,235,375,852,
245,437,681,147,699,963,447,371,285,181,176,090,074,014,360,877,973,397,511,
942,090,465,215,329,772,533,126,513,177,002,730,490,133,631,795,744,553,435,
636,499,103,733,893,729,126,074,735,026,170,354,197,912,868,317,887,354,405,
264,590,129,514,121,795,952,881,643,864,685,773,655,024,658,630,285,441,659,
064,814,648,223,236,824,511,289,370,117,289,797,592,996,214,417,332,637,338,
727,111,289,441,484,177,812,887,911,499,324,830,511,136,039,913,109,395,352,
784,220,233,291,936,477,112,055,417,077,657,428,866,958,114,232,868,693,996,
199,222,180,434,947,273,535,433,175,794,257,561,632,327,768,744,076,166,656,
918,501,579,532,367,725,228,402,991,118,442,794,523,145,108,598,594,125,523,
589,151,994,878,580,683,077,864,109,069,203,109,682,890,056,447,463,453,195,
333,665,508,100,847,302,892,961,382,144,140,768,430,558,556,009,584,470,811,
745,931,103,219,663,482,277,199,723,495,240,592,792,778,149,452,795,783,688,
162,889,089,425,439,848,892,671,069,134,700,910,949,249,663,219,790,114,512,
780,780,280,986,956,881,799,196,927,199,405,247,566,572,183,281,968,601,235,
920,927,187,075,858,056,847,847,271,299,815,443,041,306,120,705,323,672,619,
888,292,320,647,634,999,382,890,830,300,227,315,006,653,929,292,669,166,182,
437,968,208,385,993,673,482,393,457,752,213,878,144,134,702,245,681,092,271,
040,000,921,506,545,537,548,081,962,757,045,506,645,285,556,401,823,454,423,
317,263,018,918,849,554,829,210,389,857,007,552,491,699,249,784,491,144,463,
164,977,788,922,362,086,281,711,745,160,512,666,119,089,781,561,823,698,496,
170,639,130,788,867,352,075,072,906,173,447,623,986,779,715,164,823,985,422,
195,286,819,144,310,033,504,550,640,659,592,135,776,260,819,865,850,662,535,
780,615,235,359,508,566,007,845,797,549,982,575,639,912,658,200,118,202,171,
645,925,379,444,565,759,752,477,168,068,280,017,000,040,889,926,336,546,351,
381,796,505,625,634,112,873,340,648,444,735,519,666,925,506,629,650,482,341,
370,035,148,985,431,454,223,390,812,888,259,090,892,160,972,616,538,846,994,
900,308,738,414,427,719,456,176,998,714,595,124,196,746,338,380,785,946,525,
006,315,093,313,074,356,722,606,108,400,986,899,736,746,442,830,650,488,005,
796,930,001,491,124,848,294,643,881,448,122,411,497,411,300,244,409,256,512,
330,575,705,912,025,043,191,601,853,484,601,265,856,830,179,701,448,106,333,
882,806,821,373,246,623,988,432,972,042,559,427,720,039,540,681,226,586,795,
759,560,567,345,120,678,670,262,478,366,729,947,402,542,488,393,609,979,959,
210,628,978,858,016,229,058,571,159,994,981,970,155,677,919,423,744,821,674,
140,938,370,042,932,783,507,578,628,752,094,336,973,706,088,411,488,689,581,
251,609,246,456,832,410,423,520,830,285,156,209,138,168,076,160,839,249,530,
439,065,582,816,249,885,635,662,538,952,753,529,493,293,640,347,153,804,261,
786,126,891,314,770,417,759,796,459,942,226,435,957,387,219,094,308,981,302,
034,368,715,356,576,484,157,792,501,551,657,157,197,831,288,068,501,255,800,
303,160,302,454,873,736,375,790,745,192,885,221,450,655,727,309,553,911,383,
199,682,224,392,705,413,894,082,411,280,362,094,692,190,624,904,488,565,530,
376,377,215,886,741,121,075,840,117,557,801,746,702,800,204,405,174,468,904,
297,223,224,196,117,708,816,898,324,363,760,456,824,385,425,284,115,661,652,
217,793,685,944,437,661,992,483,524,933,609,045,356,061,573,038,213,257,251,
030,150,323,929,522,472,110,412,230,328,265,930,546,254,287,099,694,420,829,
892,423,720,875,038,891,781,762,798,533,044,333,923,023,689,445,729,190,661,
845,844,889,734,743,729,277,018,482,780,898,889,603,393,981,523,538,415,343,
135,819,717,556,373,596,556,837,663,436,945,338,599,864,264,025,266,928,685,
477,474,888,739,266,618,407,895,413,760,682,633,167,776,311,482,241,029,022,
065,373,344,329,740,601,961,160,426,627,773,778,363,042,813,783,597,121,693,
148,147,514,203,672,335,081,632,996,111,606,840,805,215,761,427,851,773,407,
081,653,887,799,070,337,553,716,307,015,826,602,438,887,958,535,383,367,509,
368,828,580,097,810,885,755,288,124,961,952,230,055,756,874,435,868,628,233,
227,807,221,683,983,199,997,363,465,172,103,326,480,233,089,521,473,427,190,
993,119,232,134,485,090,492,707,769,856,766,222,715,460,148,618,826,943,882,
691,841,062,471,233,245,904,769,305,749,942,330,310,019,582,124,032,100,536,
575,354,629,261,921,895,852,229,404,904,417,863,061,261,744,228,929,803,833,
475,300,030,486,087,843,409,523,309,634,296,249,086,894,802,828,956,179,434,
234,446,228,239,052,726,453,149,402,836,297,272,505,058,369,993,842,655,678,
652,065,596,358,645,321,062,602,919,109,895,070,617,477,845,817,440,331,048,
076,564,157,078,255,495,244,613,912,869,302,399,057,560,691,163,008,760,474,
523,019,511,474,285,406,707,309,208,379,809,049,916,796,660,794,160,754,015,
557,721,178,047,675,839,358,569,988,453,899,919,335,213,542,607,414,333,423,
177,205,739,117,825,225,378,040,555,077,348,054,263,586,173,479,668,739,067,
119,625,074,232,995,635,939,474,076,397,321,965,864,595,459,093,640,588,120,
283,737,801,150,432,202,049,452,761,420,828,175,085,865,297,860,866,217,686,
643,611,908,922,703,154,084,258,336,166,750,572,632,811,172,586,594,647,413,
004,865,035,091,045,778,562,486,945,053,296,569,673,272,319,588,602,995,886,
339,629,765,174,379,120,988,353,955,382,971,665,322,788,287,556,560,412,257,
271,301,730,205,082,413,450,629,585,600,097,269,002,314,638,417,942,546,547,
977,923,473,839,596,658,089,218,805,679,408,980,033,813,398,891,983,559,809,
701,718,913,524,328,086,932,922,067,135,825,717,306,785,935,872,606,120,215,
510,129,999,094,378,706,392,949,760,403,091,237,874,468,925,754,703,207,813,
526,247,295,185,508,409,913,524,302,438,284,181,848,013,125,161,351,417,356,
525,169,128,574,764,536,846,388,937,998,459,952,301,578,287,488,128,814,989,
616,243,098,847,586,938,689,037,074,816,863,650,375,019,368,592,946,932,131,
179,987,508,245,858,637,946,480,227,890,424,437,406,042,245,432,122,439,394,
757,149,580,967,527,702,869,223,910,680,008,510,259,272,229,132,795,895,523,
593,906,110,053,097,187,594,646,952,532,572,619,362,455,483,871,086,538,034,
989,634,189,593,135,836,609,528,172,278,420,265,520,668,416,775,442,657,858,
515,156,164,764,730,552,353,987,262,471,604,390,177,226,319,001,072,596,448,
977,969,635,406,252,161,707,606,032,142,171,358,938,111,016,673,823,721,741,
270,309,689,527,528,694,046,550,071,465,469,840,464,947,164,726,706,454,499,
901,723,322,847,922,455,967,822,338,923,536,559,772,257,995,585,672,420,622,
726,985,568,994,240,506,860,621,180,794,171,446,416,524,772,397,538,268,746,
946,822,682,284,886,894,100,151,498,329,593,205,592,113,611,048,706,526,111,
559,525,904,048,230,633,921,540,674,880,261,718,382,547,506,580,029,191,008,
372,518,434,360,269,379,358,066,599,642,480,097,309,257,364,628,117,052,003,
263,289,057,077,715,748,827,062,614,043,504,477,719,828,724,303,858,418,567,
560,990,864,161,901,224,625,534,071,799,814,907,353,777,329,289,375,106,583,
436,162,621,323,671,808,576,251,785,761,634,030,042,497,609,366,166,028,311,
088,792,561,862,888,679,256,990,687,324,773,679,356,927,585,664,103,448,679,
815,246,347,511,187,213,480,130,546,267,771,036,885,293,873,423,916,166,248,
134,868,711,254,134,034,758,252,328,180,490,437,186,571,566,301,143,065,825,
702,397,784,903,346,798,261,013,963,342,542,468,182,982,929,214,129,641,197,
113,438,273,427,469,150,336,753,302,107,683,332,020,498,623,761,483,433,002,
838,900,650,104,102,387,687,349,728,192,814,303,609,003,523,704,256,998,022,
833,813,575,507,438,712,337,613,068,846,669,748,422,816,661,925,685,933,104,
694,402,147,798,710,384,127,359,725,840,747,934,666,478,898,979,128,942,384,
094,629,329,246,361,019,035,657,545,992,408,958,576,428,787,908,019,451,990,
630,771,805,169,785,668,754,364,849,901,999,132,037,550,895,437,384,518,423,
797,369,724,489,780,497,226,322,635,007,687,165,680,660,115,545,282,110,916,
032,415,583,086,881,686,048,485,691,046,672,879,213,675,003,318,383,746,958,
783,126,652,482,570,527,542,222,407,727,454,630,868,572,685,295,611,050,315,
685,460,111,765,429,496,368,818,191,899,656,906,551,110,031,166,156,857,222,
067,002,556,670,558,385,866,219,972,122,125,337,357,594,678,041,850,156,988,
792,749,956,533,237,623,986,242,585,456,722,352,920,404,856,741,506,184,293,
158,270,617,844,980,855,994,317,993,179,266,549,895,584,337,347,223,982,462,
653,376,588,857,319,281,684,711,176,882,419,685,308,863,566,582,616,435,048,
361,173,550,712,803,647,603,817,183,123,165,933,638,745,858,371,072,659,341,
113,702,333,503,255,388,136,351,106,412,472,465,236,371,173,886,386,093,001,
613,898,801,234,591,100,157,255,114,640,326,556,862,875,104,380,468,047,889,
527,353,008,954,707,452,476,134,819,894,043,760,967,009,172,999,273,111,755,
811,114,707,898,833,972,090,907,763,279,365,451,763,513,419,909,580,824,470,
968,338,267,477,630,056,915,007,903,004,058,966,828,126,600,123,226,964,102,
152,583,385,431,818,410,613,683,892,548,872,670,301,920,910,738,819,305,545,
874,341,615,771,788,452,889,266,976,009,241,832,919,053,928,111,011,580,612,
383,673,658,822,338,741,595,345,547,867,519,580,942,546,148,694,202,549,798,
175,609,239,061,317,624,723,068,864,475,435,236,756,729,118,495,840,799,273,
250,203,661,015,936,428,169,993,633,720,495,743,053,319,432,318,226,598,249,
337,040,432,338,519,340,321,658,037,753,696,170,814,947,340,315,233,538,395,
577,341,585,576,056,130,138,911,187,636,602,414,368,619,550,679,754,471,939,
541,321,298,272,191,346,731,665,739,665,046,362,099,707,658,835,565,679,666,
243,614,233,421,824,326,089,287,774,763,680,325,226,029,746,513,918,865,085,
959,058,870,970,113,547,191,581,117,216,455,534,571,767,126,753,966,824,777,
551,833,939,827,207,332,539,534,159,159,443,630,650,377,912,344,517,387,938,
105,594,091,767,201,732,250,949,940,041,988,984,695,917,579,486,813,507,510,
120,206,145,284,736,229,403,946,460,568,044,684,235,219,585,274,790,923,784,
160,042,186,082,385,332,822,498,740,005,437,296,976,588,174,383,133,295,929,
468,847,069,957,331,642,296,928,510,658,820,803,168,969,019,420,023,524,158,
924,532,570,266,147,546,969,630,475,251,939,974,841,075,447,043,530,506,793,
646,127,482,909,714,750,446,653,537,896,031,570,479,355,936,296,322,988,483,
190,306,966,252,092,293,786,935,205,624,467,932,970,811,742,773,007,921,730,
565,020,023,029,608,704,674,146,479,074,760,195,311,953,732,407,336,730,739,
204,224,670,284,417,328,399,108,593,571,542,557,823,975,787,017,566,031,567,
681,605,310,669,897,060,449,524,425,246,675,036,320,286,427,125,572,426,708,
725,840,290,201,858,397,691,071,504,730,432,433,092,655,662,209,912,235,105,
201,808,445,277,563,215,740,385,331,696,299,645,537,841,543,222,610,316,062,
080,433,097,683,540,992,800,880,810,059,219,202,001,819,724,039,370,985,187,
012,360,966,539,314,959,357,272,623,921,037,677,723,884,880,028,033,628,518,
677,626,456,874,536,977,875,545,891,395,444,204,657,788,236,766,663,456,997,
208,976,490,179,999,939,822,528,020,459,209,369,926,397,082,419,297,669,065,
670,549,415,238,301,822,115,730,036,940,276,296,033,073,881,508,363,530,362,
261,114,744,715,734,728,756,605,814,024,011,605,092,969,381,941,717,071,196,
300,165,286,008,576,683,296,497,936,159,508,780,735,620,523,997,902,992,389,
822,746,348,631,539,416,107,326,734,556,779,240,982,512,016,363,197,103,782,
137,347,152,896,434,463,971,022,479,542,460,037,948,293,883,777,310,046,004,
832,611,648,293,023,061,982,671,176,137,355,873,258,846,686,546,968,934,657,
873,672,868,439,473,275,487,087,169,331,065,785,579,644,980,045,183,804,055,
829,008,854,903,831,917,952,568,273,388,095,028,780,202,210,941,586,740,890,
109,343,123,453,159,485,540,735,187,612,856,650,065,116,425,081,789,693,437,
700,148,971,880,553,010,239,277,310,333,257,072,825,333,601,850,873,884,374,
097,993,775,353,130,938,359,026,914,137,475,790,815,022,162,853,986,285,425,
778,190,824,215,831,891,832,302,072,141,883,692,945,816,220,515,271,800,939,
049,044,044,194,817,662,261,920,507,637,530,356,477,157,374,257,626,367,739,
449,398,949,445,092,561,067,754,518,971,224,370,993,579,469,945,002,390,438,
925,357,911,233,903,005,080,458,786,244,598,799,844,447,340,089,290,305,307,
557,006,962,424,025,483,323,618,485,475,509,707,975,282,750,777,375,147,365,
409,982,713,409,530,472,511,446,907,862,624,123,090,437,058,559,713,328,700,
795,397,361,599,454,725,845,753,883,527,824,955,639,072,176,905,546,756,153,
707,468,637,357,556,824,106,811,543,352,820,341,594,236,579,822,951,290,994,
561,058,097,099,995,838,301,719,712,059,452,640,641,279,556,865,731,216,046,
858,116,106,194,965,990,865,169,749,025,708,102,998,682,498,283,816,280,896,
978,201,491,501,372,649,617,610,561,498,935,572,909,430,411,221,485,440,119,
045,549,820,456,385,652,356,401,625,706,222,421,686,981,886,194,159,718,113,
672,956,251,420,902,851,615,834,913,544,664,362,281,441,967,128,915,563,192,
315,321,242,637,325,249,017,827,715,243,385,923,312,632,219,839,137,698,819,
664,820,787,155,581,540,812,924,975,272,940,286,672,977,250,111,628,481,461,
511,067,887,001,297,527,040,133,051,517,826,146,815,179,258,443,274,386,027,
469,738,145,195,160,705,486,322,642,548,499,779,295,723,566,092,197,342,055,
002,214,642,101,757,839,154,369,640,351,196,141,220,960,533,905,906,847,664,
864,368,246,559,252,773,724,764,032,875,337,418,055,585,106,317,831,185,844,
156,995,071,404,526,473,371,451,526,127,860,935,982,753,294,620,170,019,420,
845,673,462,367,055,067,074,770,462,986,092,910,039,293,889,720,613,778,595,
455,760,907,819,565,482,021,907,986,444,660,629,398,587,110,673,153,168,969,
146,559,134,843,824,044,702,921,778,964,226,473,392,167,510,093,343,499,126,
186,134,416,637,801,387,454,590,187,021,850,606,688,659,793,193,535,676,635,
070,377,527,031,815,162,078,859,843,242,715,824,700,766,471,276,882,298,047,
519,525,076,339,333,969,459,691,497,073,195,920,655,575,295,850,565,732,675,
441,063,490,309,160,700,331,129,574,473,648,715,817,057,344,530,351,113,760,
051,700,109,648,581,160,636,994,576,427,097,550,478,463,949,943,242,417,910,
850,872,290,285,301,995,012,447,962,746,976,210,923,600,489,792,539,609,681,
788,710,984,339,464,030,928,827,495,021,836,675,285,040,281,034,828,703,975,
900,786,264,291,587,152,473,633,556,908,418,053,041,518,362,371,130,862,168,
837,545,819,932,439,143,228,263,693,205,953,982,474,394,299,397,818,353,031,
553,778,702,436,636,296,718,341,277,806,941,096,083,117,302,256,976,450,718,
208,146,929,591,317,537,902,897,728,407,992,081,330,971,588,759,938,351,483,
041,696,758,837,610,223,880,881,540,517,129,756,839,260,527,596,538,981,264,
047,167,828,366,421,960,676,696,933,693,759,204,076,883,590,673,128,793,996,
734,111,296,389,572,172,453,917,006,809,724,096,319,565,169,617,450,377,179,
339,542,239,306,343,665,332,094,069,863,427,062,564,411,192,761,926,075,954,
908,387,736,762,554,843,804,286,739,360,283,401,722,543,922,537,089,919,140,
956,219,624,599,565,323,671,923,772,452,548,713,528,286,020,117,990,002,311,
516,536,655,956,451,001,866,013,969,507,529,729,139,286,380,583,508,264,412,
742,068,562,890,773,788,924,578,909,718,753,928,601,611,745,857,909,475,414,
723,611,787,874,511,319,429,522,586,222,015,463,607,207,049,420,294,446,613,
331,540,101,437,302,959,420,649,524,034,509,570,780,146,261,735,671,681,291,
037,508,692,915,687,482,702,462,427,122,982,778,992,545,085,550,154,272,729,
557,739,888,438,559,337,940,406,709,385,938,968,392,550,048,062,244,141,410,
390,772,241,643,729,842,827,844,639,009,202,144,726,755,704,832,104,712,187,
675,845,493,507,484,104,712,839,652,358,076,918,528,458,450,328,401,040,976,
923,213,238,799,134,505,255,673,613,431,132,010,336,881,243,852,378,124,371,
977,061,986,635,717,881,457,085,809,398,948,266,137,330,548,937,891,399,666,
756,312,292,656,011,716,306,176,122,377,867,297,415,525,376,859,842,474,345,
876,134,616,174,339,470,938,652,424,130,217,544,954,276,465,219,186,470,078,
907,339,242,096,509,470,259,666,615,828,617,403,117,526,051,993,527,016,540,
256,475,118,600,603,830,153,540,585,161,439,444,235,330,501,468,912,630,708,
909,173,603,385,158,645,630,690,876,610,103,216,036,080,736,127,572,574,426,
404,324,004,112,434,382,409,259,739,447,347,434,945,873,122,373,566,477,360,
713,035,244,753,103,661,478,516,709,085,834,339,042,158,205,879,166,423,471,
154,682,166,670,907,639,492,442,503,960,959,719,654,401,833,067,795,977,856,
623,899,105,495,857,182,328,679,932,693,100,209,023,026,177,734,707,724,408,
128,275,803,618,671,255,758,714,343,699,054,660,965,512,888,130,368,675,065,
798,383,713,094,020,436,485,510,762,465,460,517,472,292,043,644,132,558,421,
459,420,542,819,640,181,074,770,391,385,968,928,527,428,564,937,265,478,671,
961,600,054,792,411,285,597,226,483,129,491,708,769,776,509,307,438,434,599,
067,365,795,288,232,509,449,677,298,714,203,490,538,602,646,485,286,182,714,
878,346,715,628,832,116,782,281,086,849,419,353,419,750,871,727,762,577,831,
248,085,766,408,174,581,406,321,707,165,480,242,928,181,435,059,890,110,846,
323,954,367,507,633,333,557,021,211,857,233,020,986,817,972,338,996,304,646,
254,791,574,799,427,074,960,053,964,916,689,181,293,346,311,841,168,330,095,
053,375,100,450,443,669,074,292,741,865,457,353,869,154,516,352,470,678,933,
487,053,343,167,896,647,213,522,459,014,115,757,202,422,186,014,503,060,886,
688,457,555,523,577,946,139,292,089,918,117,838,738,348,747,081,411,603,181,
851,467,751,781,760,006,057,843,480,863,009,154,442,238,205,675,666,489,157,
040,161,171,689,485,946,622,719,318,175,536,806,354,932,598,338,074,433,707,
532,826,598,227,056,809,506,501,845,509,220,299,862,933,728,585,333,398,000,
678,904,190,981,938,062,265,839,619,146,464,785,766,015,842,488,659,440,647,
511,912,239,827,816,100,857,299,324,302,877,352,851,799,320,948,123,633,788,
161,207,869,910,281,940,647,066,128,194,713,199,935,837,116,644,076,274,468,
855,814,235,611,158,246,680,091,597,810,285,987,473,856,452,500,662,871,940,
303,965,956,266,408,556,924,211,192,752,713,107,377,951,227,128,546,969,502,
000,641,635,083,993,944,832,792,486,836,486,099,090,211,337,647,646,593,526,
445,115,194,358,871,738,964,743,958,914,811,745,805,531,995,894,301,626,028,
627,975,395,668,750,722,451,349,624,027,592,703,775,509,819,348,701,897,696,
905,052,823,994,814,652,051,388,482,045,121,362,102,376,597,030,377,801,810,
591,810,611,316,923,239,860,086,211,567,322,563,825,382,090,273,050,888,006,
651,141,541,740,858,569,724,449,955,309,763,152,077,423,703,388,102,187,435,
612,765,837,385,882,642,266,568,497,241,563,442,365,385,403,719,452,727,549,
880,944,766,954,732,222,180,676,875,292,717,177,919,683,864,675,726,796,819,
964,972,758,614,482,325,755,161,822,721,754,566,421,453,014,714,229,880,089,
457,991,134,545,141,755,311,264,421,476,771,384,647,828,925,218,083,669,253,
362,082,265,245,862,275,776,475,987,508,952,694,018,657,989,175,830,342,435,
767,888,085,933,061,568,537,504,695,459,602,881,660,185,900,233,939,938,755,
495,068,850,853,795,476,397,505,422,845,875,668,325,214,431,771,347,791,782,
674,842,061,062,166,160,023,497,127,789,548,340,214,944,311,767,599,148,608,
658,534,668,460,914,684,764,999,888,730,428,483,908,185,182,666,792,105,435,
838,959,580,935,807,082,898,059,197,215,415,229,240,906,052,522,553,396,920,
439,170,270,108,265,218,083,558,932,729,962,385,611,274,346,098,337,385,733,
298,152,276,313,236,295,243,758,941,956,370,757,243,490,892,670,099,640,336,
846,493,021,836,678,833,620,765,336,210,396,513,744,895,175,832,014,362,931,
907,968,678,670,277,185,387,329,614,000,424,126,812,591,160,058,896,539,044,
219,784,831,754,720,536,381,004,417,515,929,525,316,326,415,015,919,901,252,
825,251,910,935,247,904,840,646,863,534,145,183,772,384,408,116,167,971,975,
127,121,736,833,788,520,115,742,629,095,612,075,614,017,340,529,800,024,469,
072,967,286,287,155,579,952,689,887,222,683,328,951,608,515,089,964,046,784,
154,527,523,281,477,942,019,637,274,280,487,010,706,357,730,454,782,038,145,
910,018,756,571,952,356,156,766,172,396,526,625,013,654,621,245,969,602,019,
826,975,786,192,646,161,577,448,993,967,885,943,527,846,040,361,269,482,280,
411,444,300,743,412,836,106,875,720,627,334,076,418,946,254,056,453,462,109,
725,849,356,013,521,970,309,883,222,048,585,080,650,847,180,546,961,274,275,
427,480,729,418,703,432,063,544,476,011,493,367,309,541,552,580,747,597,150,
627,634,213,024,799,525,694,416,985,100,111,009,935,121,624,923,292,127,661,
845,483,920,124,977,574,345,531,224,952,192,900,330,261,590,000,629,024,264,
150,407,918,549,743,467,537,202,052,225,945,887,862,027,748,826,080,064,081,
118,566,147,142,052,573,182,192,814,108,895,358,414,074,320,826,065,512,336,
479,081,805,610,359,784,022,474,408,604,322,500,743,251,896,740,970,738,307,
357,606,841,640,319,673,027,901,604,385,600,727,407,856,941,264,671,240,016,
658,280,765,221,440,588,230,338,571,618,618,230,528,875,349,666,312,309,740,
046,679,303,713,341,060,608,352,155,483,110,989,189,944,444,574,295,563,063,
057,167,282,100,934,009,786,259,741,948,371,306,898,562,638,722,977,714,754,
399,281,895,887,843,919,714,878,831,822,757,842,269,953,873,932,954,195,206,
223,500,793,246,080,142,440,828,256,115,700,219,874,120,662,398,833,406,458,
132,949,613,470,471,645,693,694,340,946,267,867,474,043,835,408,819,084,575,
939,698,916,031,435,811,569,450,117,853,022,016,732,164,811,359,426,462,790,
378,992,276,913,101,434,065,649,514,714,121,911,165,229,305,224,925,548,988,
620,188,313,081,873,926,277,408,744,864,510,844,267,231,425,814,298,015,219,
874,247,043,507,191,937,993,858,401,683,600,428,218,306,541,312,111,726,208,
791,542,143,248,373,703,715,268,142,445,539,536,111,282,940,557,733,821,784,
520,232,495,216,481,002,094,854,426,179,137,140,706,890,540,735,446,417,805,
009,472,311,691,608,693,892,545,184,478,971,157,926,899,034,120,308,143,977,
924,612,769,018,706,750,804,146,569,710,497,092,541,141,161,110,959,396,866,
812,449,437,659,958,234,706,529,908,615,244,315,250,848,545,714,371,113,315,
106,246,924,080,104,186,069,821,931,224,816,215,414,885,931,740,750,861,295,
092,604,620,880,039,450,134,556,761,551,433,882,506,869,170,963,206,859,193,
466,133,422,810,707,598,595,897,576,490,190,208,902,385,391,572,004,014,480,
382,493,754,851,951,618,443,346,342,196,808,850,786,011,037,608,251,376,128,
627,923,806,883,983,522,921,514,716,931,438,649,715,527,441,227,920,709,602,
251,506,655,139,982,972,655,288,914,459,963,789,379,690,045,715,336,758,812,
384,502,405,132,620,058,344,012,456,437,942,248,029,302,661,229,114,006,004,
836,731,170,458,668,168,294,239,548,940,010,744,573,478,399,408,732,984,005,
776,431,243,511,805,204,814,506,075,369,384,509,865,932,587,023,008,340,095,
191,509,947,882,569,967,065,810,670,955,547,894,414,837,646,575,730,625,588,
903,143,429,889,736,989,934,435,910,307,509,296,763,018,629,539,099,846,270,
060,978,402,957,542,382,892,684,419,207,558,190,462,664,200,348,913,609,962,
326,007,337,389,557,749,722,631,705,606,461,360,289,525,626,247,811,823,008,
101,778,738,673,546,097,724,569,495,371,273,464,664,416,477,757,314,436,755,
687,749,866,179,908,688,428,948,632,604,673,131,962,021,169,207,192,727,960,
179,965,711,307,297,862,361,382,313,816,954,817,479,606,931,940,816,137,789,
358,239,636,271,741,106,022,357,008,658,410,057,691,289,333,407,112,261,626,
880,110,933,181,431,467,185,788,142,644,394,476,993,957,605,319,180,885,660,
923,403,337,320,377,348,993,378,613,155,822,217,068,010,433,992,273,768,064,
447,544,253,943,344,676,298,272,201,267,467,988,661,003,398,568,743,450,228,
061,661,085,843,137,543,826,386,594,651,462,454,264,697,917,083,151,641,628,
121,105,350,468,048,960,856,133,170,452,815,327,684,677,086,431,805,453,269,
866,374,941,604,830,965,665,024,950,013,037,158,952,969,228,408,832,810,206,
728,940,413,975,820,740,335,266,136,712,578,687,998,750,314,944,485,198,419,
283,675,603,898,886,226,202,405,816,173,184,300,135,611,904,363,485,875,575,
152,673,584,100,734,637,675,870,546,150,684,343,687,151,944,903,606,077,981,
725,957,169,491,560,726,366,012,382,108,442,767,114,144,359,205,762,428,142,
687,485,677,568,221,620,632,679,732,831,582,273,600,665,058,691,867,079,535,
412,876,127,888,816,514,860,758,218,250,783,058,951,983,929,898,880,061,839,
179,489,185,550,887,790,175,375,445,770,056,622,949,682,637,812,963,061,113,
102,793,322,274,738,964,155,905,973,164,281,561,678,257,419,912,121,882,758,
135,548,460,559,968,613,580,429,939,940,932,958,111,089,059,177,896,070,012,
466,744,450,686,990,674,365,330,243,654,106,827,776,511,723,066,870,774,605,
707,432,654,213,852,685,123,702,025,427,933,964,208,148,187,007,951,838,198,
633,442,136,299,183,846,368,340,953,362,052,390,918,418,689,597,767,082,066,
693,525,246,590,934,824,632,627,171,501,966,872,108,564,828,222,536,526,678,
444,610,591,559,980,371,953,045,311,857,520,367,279,313,098,712,244,696,343,
287,606,411,560,041,983,298,946,397,729,477,885,774,634,476,134,278,733,674,
492,921,594,686,532,434,175,232,274,585,643,477,462,684,227,575,889,643,931,
223,616,102,694,705,144,748,765,445,131,889,103,895,006,939,835,940,826,715,
742,401,997,849,652,597,379,195,062,276,928,103,849,735,794,279,503,586,138,
369,872,680,476,988,406,978,066,053,576,783,886,020,846,364,483,983,213,206,
308,294,793,759,101,661,377,802,017,151,477,533,157,030,404,954,045,769,843,
208,793,817,870,250,046,798,474,552,667,461,108,801,722,327,216,682,197,272,
791,550,616,026,723,751,930,764,361,667,721,861,761,529,407,586,314,506,646,
632,083,016,163,425,961,450,753,878,563,048,293,480,968,790,843,367,135,645,
205,314,810,204,908,350,996,773,506,217,591,057,728,278,788,559,843,509,669,
802,279,867,997,930,597,624,983,519,434,049,774,496,263,290,856,231,819,141,
955,256,764,976,138,290,411,450,224,246,469,985,421,454,179,292,647,674,387,
914,041,527,347,802,514,993,916,799,585,539,474,116,023,003,507,132,944,859,
964,816,667,590,100,220,283,599,479,046,406,640,000,683,246,177,714,837,126,
470,184,998,648,047,544,790,216,253,082,122,685,820,043,273,278,007,259,199,
408,248,163,915,134,293,011,932,170,838,731,319,017,380,868,318,976,142,474,
993,541,989,212,633,800,823,411,059,270,234,530,116,446,827,583,291,740,332,
198,461,048,343,337,214,481,958,248,897,863,571,442,410,456,218,773,931,502,
879,974,694,947,532,139,226,339,369,020,098,944,001,925,639,267,237,484,222,
800,316,895,945,593,277,049,647,893,568,391,583,126,333,419,926,129,026,731,
261,786,150,490,713,189,478,774,654,904,294,191,697,905,859,968,272,341,558,
444,796,481,321,390,375,689,687,004,012,791,620,204,436,063,788,524,482,433,
211,501,446,310,722,102,844,789,932,065,003,712,342,886,177,535,254,465,642,
299,706,659,965,145,927,315,139,571,761,306,976,714,310,601,425,901,201,740,
742,926,076,069,490,469,616,588,651,208,049,314,662,421,055,961,249,028,955,
857,725,957,311,966,468,546,780,230,858,810,614,372,772,212,022,210,369,444,
189,898,251,296,443,805,339,342,766,003,658,109,714,459,852,628,841,228,808,
833,472,072,019,461,775,886,773,650,009,628,472,719,323,192,896,633,783,138,
239,577,058,473,282,791,931,900,844,771,810,518,578,109,024,670,946,828,156,
076,314,044,479,565,902,404,616,253,674,785,393,514,652,683,541,698,321,430,
000,451,561,743,016,598,977,422,969,807,128,632,579,344,997,373,590,474,191,
228,012,050,661,638,052,296,159,701,321,498,078,932,035,222,645,374,704,403,
977,667,561,579,766,607,758,956,109,775,416,217,309,847,841,352,508,186,862,
192,398,800,047,438,058,711,631,915,673,022,040,585,234,038,323,905,896,603,
879,475,382,096,301,198,220,543,807,914,763,622,175,668,758,403,434,518,107,
065,887,858,623,826,630,528,579,850,617,375,881,001,997,448,146,786,080,410,
162,321,869,478,290,089,567,037,709,053,653,218,999,086,594,147,569,341,419,
457,118,110,363,205,052,372,115,710,768,822,814,842,223,935,754,930,139,519,
954,693,050,946,315,023,760,374,023,856,436,688,524,623,544,847,820,201,946,
538,533,656,626,675,152,650,247,651,727,023,447,146,494,869,505,614,772,534,
585,137,230,132,096,723,767,262,193,465,256,750,688,404,746,811,079,484,486,
626,302,924,796,968,758,730,129,749,953,834,547,415,605,186,083,842,474,278,
893,521,581,486,120,343,786,360,714,812,632,119,379,162,665,850,908,922,776,
605,390,253,956,237,590,319,286,721,026,698,452,740,978,363,138,216,601,677,
965,544,853,840,267,839,358,345,775,825,607,748,317,797,095,876,807,162,674,
344,934,900,522,315,347,350,168,533,314,659,506,652,984,398,535,599,835,434,
677,846,266,440,096,048,751,627,618,977,929,486,149,986,193,309,485,083,836,
131,601,811,896,903,989,910,739,561,311,812,507,949,682,421,357,827,668,640,
499,852,999,000,304,898,986,340,767,200,428,953,706,679,988,309,454,826,995,
625,650,369,033,716,402,920,798,204,839,256,574,183,552,833,315,647,658,919,
375,609,310,680,841,240,009,601,209,524,854,167,116,582,628,132,556,406,449,
214,308,924,032,847,768,822,826,750,240,179,888,369,071,122,884,111,883,909,
393,994,608,568,330,395,207,328,914,638,265,057,028,915,014,452,249,592,588,
047,514,639,211,623,257,275,172,414,117,072,335,678,696,867,032,257,721,028,
511,629,695,931,952,797,156,802,157,233,728,657,911,621,398,661,174,083,273,
202,131,394,655,466,230,248,833,082,026,278,968,417,502,059,357,535,257,125,
247,772,461,262,607,683,885,461,243,472,581,441,945,129,639,576,551,329,153,
110,970,397,883,225,242,120,158,398,382,956,392,710,521,492,510,769,938,206,
754,568,524,514,132,502,421,173,380,454,378,296,509,730,859,937,941,236,074,
177,267,276,788,092,473,997,857,679,051,304,893,572,711,636,556,048,382,751,
213,717,843,727,739,149,906,195,520,138,405,664,032,685,008,971,757,404,196,
367,315,436,919,816,553,340,574,216,217,501,120,806,895,770,590,260,820,620,
044,977,486,815,316,186,365,064,962,751,667,311,547,992,397,139,754,381,370,
651,774,928,645,326,946,610,107,418,696,570,289,231,869,333,536,394,144,808,
377,519,109,162,420,985,868,089,567,603,440,352,952,370,453,909,409,621,429,
869,290,478,605,167,544,125,774,733,836,648,159,384,014,322,318,767,693,628,
946,025,871,706,296,636,836,663,809,510,510,953,250,844,616,031,792,347,601,
543,741,993,367,628,996,881,511,668,533,268,936,120,815,665,034,630,007,359,
228,119,688,618,717,220,504,698,614,151,139,297,983,827,937,300,606,375,649,
926,761,358,856,306,021,960,104,093,203,513,345,778,418,302,736,376,699,432,
789,403,623,253,606,628,533,544,537,783,231,030,234,862,692,999,344,545,610,
146,533,071,347,300,936,108,692,866,514,706,695,850,490,732,899,898,720,481,
897,517,819,328,030,543,407,531,896,274,012,538,418,646,050,129,450,949,335,
885,565,924,653,752,863,944,412,799,738,287,542,507,457,497,199,416,432,934,
434,496,957,218,354,794,149,259,316,619,764,823,353,498,334,043,621,924,706,
514,513,708,126,848,803,921,487,929,686,633,274,750,069,619,808,306,638,115,
318,559,305,816,087,832,828,388,240,893,935,335,939,090,092,866,624,713,377,
316,909,852,341,918,934,372,321,666,109,722,341,487,588,383,239,468,796,173,
870,870,303,190,602,486,047,273,300,090,378,126,770,303,805,373,348,951,911,
353,497,552,158,693,286,400,894,676,397,028,175,462,932,385,678,630,038,279,
480,880,615,083,304,117,554,981,692,739,921,929,787,428,584,348,155,154,036,
656,823,923,228,569,810,930,686,625,020,225,081,465,853,886,590,677,331,324,
562,644,775,008,116,505,509,276,877,268,556,823,849,373,935,766,476,947,552,
275,646,605,880,315,112,036,501,150,317,043,108,716,747,219,299,170,536,286,
612,830,444,885,801,548,621,570,560,800,668,943,255,102,662,776,099,293,675,
919,612,718,755,493,504,181,041,967,971,105,738,845,723,702,140,834,769,203,
917,550,308,156,055,394,020,386,849,725,786,130,541,783,759,827,984,779,079,
379,410,700,298,262,467,697,563,454,854,772,831,313,512,622,047,540,295,288,
217,082,016,219,482,302,732,151,292,322,130,711,880,274,716,331,307,449,776,
046,725,646,928,338,031,423,792,103,532,092,182,454,510,191,401,622,019,918,
507,707,438,841,063,445,406,257,224,424,868,563,765,496,626,669,733,711,567,
103,345,123,654,403,924,088,517,962,077,701,374,430,843,954,456,570,659,047,
412,357,670,897,269,484,443,856,234,948,340,192,389,818,416,684,938,398,833,
763,151,322,161,952,704,687,870,978,938,813,479,890,412,537,041,322,769,230,
182,551,439,387,267,716,527,350,077,409,399,618,694,914,735,261,513,370,682,
920,923,195,537,152,806,710,117,067,338,813,816,059,301,717,354,612,375,107,
610,163,140,799,644,591,899,148,171,065,977,127,053,742,983,344,553,551,326,
999,929,595,154,680,565,512,536,537,193,643,660,540,623,896,478,125,386,889,
886,660,489,272,663,982,378,455,338,319,683,334,878,994,903,835,500,219,531,
792,868,791,618,346,748,110,108,375,838,033,307,239,193,193,311,609,179,321,
296,427,933,888,441,173,514,916,574,439,990,419,513,796,485,475,505,102,969,
467,237,956,090,908,046,048,328,319,286,973,018,807,329,251,676,206,717,387,
393,070,057,933,587,383,211,710,646,658,309,829,745,851,272,946,712,018,211,
392,895,686,931,420,879,195,346,781,133,852,932,033,439,060,136,773,645,528,
396,618,486,887,504,396,778,558,815,775,140,582,077,254,885,362,836,564,001,
967,217,234,959,588,915,117,761,294,436,273,643,700,981,459,226,306,183,322,
851,918,572,040,454,096,004,555,006,248,979,489,308,126,956,822,453,991,168,
457,218,222,300,276,553,366,615,384,326,662,032,461,731,327,274,884,974,937,
982,058,424,182,497,664,593,108,455,283,167,796,819,489,807,302,282,695,033,
379,778,376,116,936,271,946,704,480,424,771,622,124,314,653,437,075,406,127,
997,039,898,773,443,421,409,273,995,012,487,830,135,871,578,477,022,924,292,
427,837,550,780,284,981,874,163,894,456,407,151,263,719,222,406,354,954,746,
815,991,328,488,992,576,836,948,959,846,799,180,658,175,075,728,770,277,096,
458,176,628,101,290,481,263,573,474,391,216,550,922,602,087,575,251,621,188,
818,069,689,747,571,389,642,094,120,165,543,739,687,935,634,759,320,143,506,
692,892,225,208,116,360,532,768,225,882,452,039,397,784,861,737,203,968,164,
947,501,477,281,321,120,654,846,453,684,230,483,352,042,809,727,593,202,376,
113,221,952,813,807,778,417,689,583,499,705,915,291,275,102,346,854,814,531,
743,194,945,862,605,994,667,196,702,637,980,540,837,606,656,908,945,108,480,
140,949,377,964,579,059,812,168,572,690,353,398,747,410,912,024,439,719,113,
399,638,512,705,528,309,250,034,408,582,603,572,621,175,169,692,625,708,574,
757,486,392,862,460,129,545,338,100,761,081,379,260,897,395,597,713,939,208,
552,030,076,007,136,269,871,580,807,212,353,171,459,386,573,615,134,095,289,
984,513,146,270,674,758,786,389,297,138,303,778,231,213,102,239,590,825,107,
952,802,427,048,018,667,740,969,350,000,230,423,093,888,209,277,338,555,444,
315,120,927,991,681,463,045,475,495,588,575,799,281,510,129,296,121,782,662,
061,198,815,382,093,637,287,339,738,309,129,678,655,481,019,191,273,986,307,
417,692,065,706,387,162,928,646,154,457,549,293,125,673,606,440,584,943,514,
986,945,330,648,637,586,013,860,934,523,866,172,020,986,204,492,434,580,147,
418,971,279,022,069,320,177,742,072,049,432,328,804,618,619,948,535,421,626,
040,221,858,382,445,013,688,545,664,102,239,799,654,192,844,629,549,249,191,
406,118,021,249,049,368,593,051,862,464,235,316,641,343,196,669,008,064,487,
687,667,808,756,988,185,803,837,166,406,932,578,941,472,563,189,305,811,760,
493,627,732,203,911,620,213,356,012,458,368,484,421,928,661,938,359,956,118,
576,873,581,429,808,310,839,345,822,766,754,697,730,715,073,978,124,050,056,
974,619,746,508,176,008,069,734,798,775,513,338,096,769,060,077,262,871,816,
644,533,677,307,407,493,199,776,395,078,968,341,258,731,486,302,601,439,352,
167,035,191,998,969,224,972,436,646,080,933,285,731,232,687,548,101,390,157,
085,106,882,505,139,427,357,356,616,740,926,620,143,653,994,697,927,209,321,
628,736,097,369,456,497,713,667,767,196,269,635,817,712,869,288,451,041,181,
726,887,867,587,221,582,280,588,032,112,168,012,608,316,950,680,325,325,502,
604,291,067,709,693,574,624,875,840,606,689,441,361,658,599,528,119,336,143,
495,220,471,247,643,099,422,265,034,431,724,589,948,472,131,058,191,697,162,
205,400,061,319,213,210,229,990,179,793,222,125,602,447,435,222,685,855,994,
144,607,041,354,286,868,483,264,106,354,186,771,634,198,100,348,117,557,212,
249,988,770,426,169,258,457,067,491,679,534,040,194,518,917,575,986,670,650,
430,081,109,140,263,652,026,160,743,924,581,322,239,871,543,199,574,906,886,
038,322,234,477,139,976,470,868,664,559,376,717,853,286,100,045,253,980,821,
755,796,370,549,407,697,440,696,832,182,711,378,642,677,873,620,255,099,191,
532,273,738,936,715,950,813,232,229,362,137,755,676,664,484,328,487,867,425,
797,848,408,139,659,583,771,372,927,937,020,675,734,355,431,951,844,279,206,
321,298,802,771,086,743,705,017,546,383,030,352,940,389,905,046,244,945,595,
094,372,538,779,289,730,569,893,936,329,032,672,632,729,426,131,735,598,139,
472,733,824,912,975,357,454,462,769,884,298,527,421,120,595,256,596,629,498,
312,796,634,286,918,833,396,160,975,257,925,450,777,423,914,789,557,471,864,
992,625,069,349,143,749,054,355,929,302,561,920,486,922,417,794,486,407,221,
475,690,781,105,070,286,777,102,438,788,675,327,342,619,995,468,084,289,208,
292,244,963,627,369,611,558,613,855,320,900,473,145,282,414,821,735,814,759,
186,528,969,840,691,353,207,959,673,406,619,509,604,197,285,253,429,979,937,
389,597,615,316,999,993,584,488,043,476,073,382,173,968,586,602,262,590,167,
885,728,145,241,503,593,407,824,912,183,908,991,484,026,332,731,410,309,384,
636,854,490,434,145,281,394,501,838,845,741,799,732,799,335,559,819,655,617,
418,799,525,621,894,261,027,799,874,564,269,822,918,582,249,652,074,531,889,
895,373,827,521,866,289,120,864,869,223,974,872,261,360,331,939,906,124,491,
753,880,846,214,681,203,583,338,662,238,630,419,639,198,650,690,494,424,237,
977,278,026,196,172,061,996,777,292,840,593,215,239,014,061,791,158,207,247,
471,374,889,667,423,879,872,342,583,135,399,580,860,237,366,698,857,346,817,
611,464,928,444,206,206,015,774,136,281,338,588,121,252,976,948,816,238,542,
410,822,401,886,639,388,931,917,851,299,693,091,858,010,059,678,408,541,527,
785,303,337,418,757,524,193,467,236,661,215,062,457,086,512,404,192,181,882,
934,141,911,158,705,147,494,483,034,788,043,041,246,961,622,209,070,315,499,
666,108,533,814,302,281,608,285,322,985,729,760,306,089,710,335,366,218,812,
791,186,597,978,844,210,346,404,996,879,129,503,222,267,586,976,246,051,029,
040,041,061,650,782,078,352,431,805,014,959,383,877,802,941,484,539,506,524,
560,064,643,504,472,011,900,292,312,131,083,837,555,010,896,420,063,220,594,
367,959,487,810,956,392,358,974,865,367,690,210,075,130,119,011,329,182,549,
927,604,269,554,900,366,082,697,477,270,854,628,873,249,297,173,302,163,022,
710,542,656,070,638,643,335,929,826,978,279,955,044,065,046,757,793,531,848,
980,362,398,284,974,266,381,674,114,081,097,068,038,129,461,785,473,535,653,
294,309,548,639,704,310,307,951,593,440,666,960,430,946,678,122,821,283,831,
770,143,155,267,891,890,998,350,250,136,189,620,760,585,510,395,089,137,344,
420,090,938,107,156,708,124,681,768,916,608,535,517,016,274,158,377,413,931,
997,130,530,820,596,457,914,762,217,101,755,611,212,895,610,445,179,151,149,
091,309,577,566,225,694,008,567,531,165,676,151,763,532,817,422,760,872,636,
636,608,025,309,486,072,976,871,793,579,992,155,441,587,852,550,791,357,631,
717,023,110,265,698,858,795,069,008,537,531,576,960,583,087,723,773,673,193,
546,861,623,376,454,181,254,011,420,541,991,516,366,683,624,378,778,550,840,
108,002,481,370,054,794,716,264,398,558,888,806,720,677,340,246,149,180,119,
744,099,503,852,038,050,401,036,742,368,377,151,149,777,442,695,508,197,357,
666,099,942,662,552,932,651,736,251,117,991,430,152,282,340,647,349,675,774,
704,255,669,287,990,943,700,965,290,800,808,174,818,138,113,063,686,110,133,
623,986,700,363,096,852,093,975,172,575,754,791,121,088,715,751,918,751,035,
800,002,738,893,399,294,325,640,950,733,501,753,267,419,238,091,755,328,612,
877,712,950,380,417,299,289,615,715,467,858,637,874,825,836,585,551,582,225,
580,842,907,030,956,269,952,404,376,294,805,517,433,796,511,023,420,940,994,
387,114,913,527,993,495,384,930,324,227,008,370,873,616,772,221,569,673,096,
680,923,777,936,299,612,865,650,933,432,175,402,029,231,115,777,956,494,791,
212,730,181,108,240,140,294,761,765,711,437,523,201,925,088,371,855,468,247,
639,607,778,497,845,489,696,756,902,805,977,345,032,604,513,536,709,668,295,
780,549,018,299,969,286,144,894,620,441,574,020,009,459,748,624,147,583,739,
486,875,445,543,946,294,178,010,200,628,135,106,276,585,130,637,137,900,678,
888,591,134,584,050,981,139,197,165,297,288,018,298,462,906,558,406,450,874,
270,568,669,438,755,279,578,411,196,542,461,025,974,297,605,710,357,011,135,
904,724,915,055,779,941,874,304,582,206,161,831,096,306,091,020,653,309,077,
099,658,988,262,635,604,747,319,284,413,169,563,250,122,731,075,782,254,962,
564,503,958,497,163,561,447,371,139,353,108,478,829,101,288,617,389,883,293,
590,440,594,531,784,093,053,392,764,150,187,097,912,313,623,698,214,114,796,
142,179,537,431,951,362,050,976,716,242,426,557,860,548,979,282,199,257,606,
665,470,749,185,294,633,983,362,574,143,384,117,405,545,433,563,544,418,450,
472,138,383,521,782,537,272,037,907,646,026,338,741,498,742,818,170,791,078,
431,909,903,498,123,065,818,562,442,623,927,355,148,684,498,194,026,060,091,
630,794,948,136,440,918,501,173,427,432,080,354,280,515,846,755,923,850,931,
523,078,521,725,395,946,253,241,445,669,095,305,811,421,431,904,504,008,002,
460,312,743,724,822,888,327,739,473,266,864,629,274,394,923,888,856,909,371,
312,727,648,514,810,649,646,718,970,938,265,923,512,327,180,856,607,134,526,
847,524,941,722,294,443,763,897,942,472,278,345,616,486,989,205,270,266,701,
898,134,997,166,748,524,033,929,699,600,677,282,161,980,976,153,621,393,244,
366,140,337,044,975,693,847,720,276,110,540,216,569,083,023,468,485,825,270,
557,163,504,637,669,817,701,826,407,162,617,612,572,264,537,882,136,468,501,
472,075,654,062,598,526,099,449,669,039,648,659,424,484,457,857,360,839,161,
821,159,039,848,308,249,638,508,935,095,711,648,684,152,264,665,727,249,152,
963,415,831,048,346,704,713,432,986,381,385,766,707,033,697,501,447,916,515,
574,725,731,264,867,597,836,717,940,851,592,760,181,723,056,170,825,126,424,
663,026,276,457,293,814,767,121,288,636,987,148,236,123,183,281,234,531,751,
943,801,877,479,100,777,370,807,511,793,525,658,937,226,593,838,261,015,355,
738,361,567,839,905,034,647,681,693,462,078,281,418,479,222,362,191,900,153,
010,495,213,742,043,239,385,146,781,661,948,584,007,265,639,837,841,279,504,
787,149,629,309,824,864,807,404,391,808,781,476,740,077,040,211,150,584,127,
934,375,977,565,994,568,792,349,284,755,862,011,943,123,026,637,685,477,285,
077,526,056,648,141,404,840,357,827,994,347,538,522,809,745,378,526,528,856,
595,706,638,551,321,159,775,769,699,142,350,143,735,030,926,029,937,723,056,
997,671,795,852,845,258,640,244,164,834,961,294,293,967,619,081,133,258,119,
270,687,161,297,929,999,758,198,997,165,833,683,516,464,639,457,222,406,938,
070,332,588,109,084,766,291,169,416,418,945,806,448,379,235,174,290,297,311,
464,295,642,326,220,461,551,258,074,838,032,421,022,420,592,387,214,356,552,
246,813,696,870,548,590,941,714,461,459,164,831,674,504,601,531,642,235,087,
580,893,941,728,361,635,615,224,151,732,813,658,435,886,678,021,508,866,309,
127,780,036,353,003,671,289,593,623,752,923,481,614,924,781,042,196,880,417,
101,169,576,045,384,965,278,996,354,612,771,717,989,680,492,608,433,919,621,
507,581,581,727,496,197,252,875,242,015,577,428,682,012,159,831,714,053,918,
209,673,184,178,396,347,419,710,199,955,458,835,086,253,082,243,254,347,984,
084,161,242,225,594,173,035,047,741,776,089,125,218,346,075,143,860,398,941,
514,723,539,645,237,331,103,341,890,999,225,432,907,481,546,286,754,403,852,
559,666,260,450,041,785,656,380,382,670,916,582,296,915,366,261,569,254,965,
885,572,097,963,462,939,925,127,378,412,579,525,080,690,223,733,119,796,657,
892,240,395,679,926,318,875,570,911,956,032,513,284,353,702,343,205,184,042,
402,691,768,208,871,211,231,374,467,170,510,904,601,869,623,326,061,722,430,
584,983,569,649,820,761,495,318,503,525,277,945,014,908,310,158,569,678,021,
174,603,185,420,929,828,986,347,848,330,787,458,352,779,450,580,582,249,900,
002,454,997,299,009,113,196,019,920,976,229,803,963,455,526,071,029,392,955,
823,743,358,338,233,256,814,389,947,363,245,526,653,945,783,470,322,993,437,
966,317,691,788,470,489,441,622,616,255,560,655,098,713,631,227,925,075,063,
018,138,064,700,138,111,552,914,974,305,531,936,941,572,834,571,106,873,825,
823,165,835,003,066,004,830,247,778,260,966,157,377,003,047,954,368,263,510,
266,079,216,089,725,249,142,989,009,704,911,635,857,666,943,172,982,839,185,
867,567,640,059,092,279,277,741,442,829,602,374,304,025,189,134,406,238,996,
667,776,315,271,395,716,139,157,823,935,364,445,648,714,359,166,503,358,110,
036,139,996,823,075,099,042,617,275,603,749,091,755,962,757,977,095,759,543,
648,899,425,136,470,758,534,153,096,768,297,789,300,333,019,705,477,291,594,
964,323,596,183,669,719,567,194,301,061,925,091,010,410,040,232,541,163,540,
680,477,879,900,109,071,938,980,331,018,034,720,277,758,805,090,936,037,603,
605,744,513,719,262,390,473,536,448,096,478,178,126,210,807,403,200,927,880,
778,760,003,090,542,723,361,805,652,157,967,675,981,618,137,140,137,804,415,
557,926,192,975,391,099,169,512,985,315,681,628,127,864,032,399,154,287,031,
296,814,139,716,011,535,607,852,508,152,415,677,620,637,401,965,741,724,761,
365,560,180,106,828,770,122,816,252,212,532,777,623,967,044,228,588,271,911,
845,446,703,591,065,759,459,469,482,056,102,705,960,824,066,447,922,770,667,
141,677,941,774,240,662,251,289,896,357,884,099,600,171,014,904,014,919,187,
938,611,842,003,245,868,279,987,454,708,684,918,323,914,601,004,235,663,092,
496,051,074,108,200,436,360,314,226,017,397,107,590,670,830,896,636,726,995,
319,555,064,241,525,851,121,871,402,312,055,246,285,023,501,604,971,278,417,
873,241,784,003,018,473,081,920,008,409,905,808,267,938,639,495,530,283,984,
244,025,028,303,885,147,223,263,550,870,152,253,947,659,258,501,781,529,822,
013,974,076,148,640,313,212,024,059,940,845,390,839,459,599,376,221,310,886,
721,258,507,582,902,788,596,246,259,248,722,220,209,544,825,558,975,914,757,
529,710,445,581,077,239,112,585,821,056,285,359,466,492,299,359,858,839,310,
263,844,411,813,691,406,852,004,650,632,795,019,827,547,440,016,632,651,646,
284,273,636,064,848,356,535,690,052,322,790,555,186,606,531,433,086,574,856,
067,738,975,623,968,853,270,406,899,996,436,366,986,914,171,516,678,881,161,
669,719,209,563,485,634,958,468,338,336,052,998,473,026,781,984,713,571,493,
275,100,602,852,863,770,301,629,599,841,638,281,770,516,085,484,013,186,314,
427,197,867,244,515,628,446,481,114,704,402,560,893,394,259,339,788,596,722,
895,229,050,542,138,187,765,113,010,484,013,928,237,543,217,832,807,850,736,
402,179,132,492,498,231,960,940,681,763,912,692,683,714,947,148,372,500,897,
264,094,721,980,064,186,678,577,466,593,341,323,481,938,669,413,433,486,553,
400,874,050,628,771,526,460,945,323,525,098,391,209,702,139,132,657,285,755,
021,837,377,846,961,076,343,491,471,677,580,160,236,871,776,758,550,834,645,
253,870,176,273,678,163,329,756,779,178,548,751,895,579,185,013,083,275,821,
776,186,805,874,675,012,796,209,845,323,440,631,802,406,543,504,252,071,321,
923,774,159,075,897,098,339,170,257,985,290,017,814,989,015,729,139,068,152,
008,762,047,613,714,092,288,391,910,074,361,099,011,114,983,053,153,870,797,
906,555,174,850,682,702,256,831,160,087,788,689,001,603,664,611,345,545,399,
306,040,771,835,708,134,524,119,326,039,960,183,402,208,154,836,504,001,535,
726,259,786,751,589,856,817,109,828,960,706,502,435,579,005,907,627,213,245,
021,594,973,124,536,173,508,714,864,189,985,862,276,715,057,584,961,759,785,
432,017,445,325,168,371,647,759,612,169,289,409,500,176,529,800,796,740,680,
381,272,876,995,562,195,660,546,944,199,727,244,727,058,487,030,734,930,497,
322,146,384,629,807,348,016,465,043,161,085,840,551,726,062,028,573,702,845,
312,680,207,779,583,078,440,662,192,195,420,746,346,718,625,264,776,407,553,
782,861,775,639,630,345,720,568,610,449,396,575,040,424,146,194,509,648,354,
724,769,936,504,106,027,795,630,080,504,182,679,229,430,017,982,062,889,483,
316,933,571,073,095,636,132,677,975,379,451,058,988,411,587,553,898,988,103,
896,624,833,813,244,718,931,216,260,657,599,231,295,112,226,441,853,332,821,
943,563,643,587,667,710,618,713,800,517,193,375,908,058,148,855,840,843,497,
933,319,742,831,252,570,456,604,733,536,009,155,473,449,912,447,626,213,761,
472,733,784,063,427,604,382,594,800,907,736,633,389,409,921,674,747,729,708,
280,757,945,006,597,849,720,428,342,209,219,027,815,992,379,276,516,148,926,
387,746,747,407,399,208,821,254,273,395,754,876,939,091,406,618,172,146,952,
700,696,863,074,574,231,136,847,190,600,797,211,705,711,541,693,882,424,880,
086,940,502,326,349,890,731,653,379,038,477,449,548,149,798,761,372,584,141,
523,753,706,983,079,465,189,267,884,527,631,619,684,095,006,875,370,286,983,
241,817,312,821,420,132,449,614,810,293,726,871,474,439,409,498,360,800,662,
104,539,454,422,621,220,996,668,635,358,050,905,302,830,797,305,889,614,280,
358,830,170,213,963,447,138,384,392,300,801,005,543,348,113,457,245,271,365,
211,189,781,484,580,628,913,528,474,117,628,803,153,310,156,368,681,172,114,
281,320,991,480,985,099,178,140,501,400,190,445,250,147,038,876,978,852,095,
543,045,430,807,970,312,999,512,568,937,633,109,564,972,855,744,444,275,960,
514,724,359,415,878,877,284,208,511,114,563,775,083,697,280,874,627,219,069,
187,581,307,669,976,450,466,213,001,321,950,345,656,316,531,712,816,937,264,
038,353,628,215,652,090,874,020,255,260,671,262,414,202,175,824,897,396,745,
165,846,648,066,910,342,931,479,767,263,740,717,832,052,114,603,022,667,196,
074,310,178,167,862,695,097,126,010,389,555,872,107,762,538,257,319,451,171,
081,355,401,660,473,275,013,910,017,666,073,237,341,409,139,358,297,582,925,
416,393,090,216,029,538,616,127,442,514,088,939,701,119,100,336,345,365,431,
670,906,533,285,057,520,322,598,942,577,829,543,017,822,396,539,568,458,462,
521,401,030,986,626,650,779,620,359,388,404,591,009,240,679,240,727,174,470,
676,474,554,507,110,089,184,306,789,260,054,778,363,394,985,312,595,174,716,
454,256,627,956,032,179,883,250,959,742,148,301,350,325,510,292,805,973,127,
729,334,023,590,587,639,976,734,023,534,751,787,596,551,710,905,586,133,971,
722,620,425,341,761,884,942,004,988,547,589,897,965,719,633,559,138,513,208,
260,311,881,083,746,387,415,250,012,726,190,988,950,748,191,017,347,059,233,
630,754,773,347,509,262,440,460,381,270,128,527,732,672,667,112,177,319,874,
680,297,102,100,465,834,808,430,379,570,759,615,792,505,010,230,082,089,790,
140,528,286,105,346,408,606,038,249,543,346,552,993,304,160,706,241,418,348,
974,871,918,655,152,415,165,436,524,491,671,623,800,928,720,835,464,201,696,
980,911,797,301,893,736,649,539,801,463,063,541,107,022,362,158,039,162,250,
794,362,417,189,018,419,697,466,956,187,974,460,169,387,116,954,147,629,230,
474,279,556,983,944,316,932,483,973,889,491,506,078,989,658,139,635,337,656,
558,661,599,692,665,137,668,324,428,728,100,020,029,947,451,838,994,702,452,
664,451,209,669,437,716,388,960,952,464,579,812,693,452,654,389,126,975,125,
183,492,459,126,432,880,905,015,688,023,520,782,944,101,211,097,787,594,785,
207,850,144,203,645,397,256,298,360,485,577,767,426,862,292,601,404,355,434,
034,918,051,271,605,750,160,652,049,784,489,097,336,162,059,751,672,847,900,
537,477,379,763,235,344,112,679,017,148,091,052,930,716,922,109,034,396,830,
847,342,277,400,999,593,227,191,752,538,092,949,317,756,722,627,561,054,632,
621,044,148,479,173,988,414,107,785,021,783,943,120,612,860,577,435,684,302,
484,474,811,280,617,526,616,180,690,798,599,330,181,947,708,516,760,891,248,
281,194,562,986,291,320,035,757,833,808,105,788,972,302,614,060,550,223,221,
231,095,988,701,006,989,766,045,299,004,205,664,572,505,577,530,157,951,628,
608,768,508,136,887,388,784,134,367,247,085,860,469,744,942,239,705,124,952,
160,858,057,635,013,449,259,576,261,499,138,420,177,927,754,126,075,066,040,
762,279,306,941,823,121,765,731,328,977,520,341,676,578,544,018,809,336,261,
350,911,786,354,514,531,594,201,580,690,440,922,666,211,063,081,599,822,195,
450,965,847,548,153,203,639,741,789,460,026,351,769,456,328,861,894,900,086,
460,438,273,017,716,763,613,835,238,791,269,543,015,384,135,068,754,145,585,
122,524,501,123,724,062,703,775,883,031,562,138,492,599,051,953,868,004,598,
098,361,984,151,220,719,303,975,046,409,649,903,271,485,098,120,932,927,927,
648,495,232,198,986,054,522,687,602,680,467,415,070,440,203,141,711,415,288,
860,079,922,852,145,207,049,195,856,253,514,764,623,129,780,698,218,981,710,
481,115,452,030,607,513,999,392,631,321,203,560,695,818,538,574,210,852,155,
320,949,816,221,882,334,519,085,026,431,630,106,777,728,923,769,293,327,013,
384,196,121,988,605,000,655,037,608,973,493,900,734,602,322,689,548,152,663,
808,875,004,223,709,266,277,117,702,895,310,943,521,225,464,404,683,955,279,
396,395,755,393,740,890,697,358,629,517,997,884,403,581,984,939,233,437,436,
366,749,682,636,436,605,047,787,123,743,230,786,816,592,832,447,396,068,511,
499,348,612,575,553,803,274,073,873,097,404,615,330,082,259,151,928,533,475,
408,814,759,741,797,567,513,436,738,683,971,492,434,443,711,843,197,982,400,
528,666,128,201,862,091,332,570,344,237,670,486,992,199,152,910,340,507,175,
789,269,960,759,173,367,136,506,244,216,586,509,440,887,438,892,501,014,922,
234,541,367,788,585,043,113,525,464,164,316,460,790,916,441,748,708,057,878,
252,648,767,010,422,365,043,784,110,382,753,514,595,316,506,828,003,571,326,
892,545,141,805,689,446,032,531,193,176,701,546,483,152,941,192,199,314,156,
716,715,342,013,529,948,122,788,315,598,017,200,290,524,782,905,279,057,004,
358,660,723,043,308,866,215,355,397,533,351,265,305,031,160,370,601,004,649,
161,540,891,813,078,513,530,137,330,937,149,142,619,763,229,308,980,518,143,
570,497,891,365,727,984,018,649,073,086,404,269,407,054,820,982,597,215,181,
803,522,145,542,516,529,613,992,890,181,671,500,584,630,457,383,386,486,491,
399,039,359,642,168,245,360,578,208,634,649,972,494,655,141,959,424,621,127,
758,846,007,885,782,784,263,679,313,526,153,881,536,196,069,502,158,917,494,
113,371,919,380,230,500,048,425,796,851,460,985,716,687,190,612,639,024,105,
803,037,498,321,514,175,650,600,700,715,854,269,096,906,524,564,512,802,515,
866,461,840,013,237,446,046,160,398,461,403,146,817,682,945,730,063,519,244,
457,470,139,459,344,385,815,959,624,015,365,254,921,694,673,659,826,049,362,
262,730,611,280,669,840,439,004,068,832,788,013,194,786,716,916,588,801,671,
406,686,336,062,432,924,095,560,135,895,589,816,460,704,679,087,049,558,231,
589,311,643,143,409,125,172,393,862,517,337,492,856,809,011,255,302,487,382,
504,200,917,672,137,385,705,177,980,129,915,861,938,994,520,974,502,806,356,
091,162,075,707,089,121,035,460,878,221,770,995,767,319,147,693,803,929,170,
403,035,889,496,946,626,651,149,970,258,071,225,450,645,824,813,298,926,585,
848,540,612,879,024,588,008,848,011,373,227,760,949,669,766,892,578,369,822,
402,821,494,037,407,439,379,859,467,927,337,550,325,515,380,419,126,870,067,
605,133,437,232,090,244,021,648,220,473,559,603,662,922,872,037,767,158,300,
605,733,301,083,576,356,285,052,815,918,616,551,458,261,339,257,776,412,817,
701,441,521,801,585,622,973,415,132,368,545,763,205,400,687,589,617,406,574,
726,937,402,113,741,485,042,454,773,101,669,202,334,460,886,278,895,076,114,
906,124,252,327,931,697,317,645,221,799,315,621,910,198,804,054,896,126,859,
222,960,960,368,030,412,524,634,239,698,181,681,570,089,317,768,355,074,515,
563,864,929,313,193,971,263,182,863,658,991,347,989,438,569,314,309,068,001,
298,786,383,405,276,423,135,179,378,976,787,153,051,521,294,951,939,205,853,
532,025,851,875,244,978,429,613,699,162,807,232,667,891,151,536,694,920,579,
305,895,032,372,269,139,034,890,556,026,434,242,410,854,355,938,820,037,771,
515,944,897,532,855,356,530,368,463,538,800,162,963,382,273,237,401,561,992,
048,515,270,046,080,900,788,506,076,462,936,584,403,467,859,569,892,952,127,
962,541,976,433,343,208,989,712,511,902,326,308,566,127,928,553,851,741,600,
989,023,819,172,613,229,168,269,783,866,370,729,207,255,048,078,836,087,066,
050,683,108,664,955,818,113,544,009,588,075,389,299,402,195,156,246,926,879,
893,427,614,176,201,121,494,681,717,072,936,984,324,270,473,895,109,831,756,
477,740,113,111,870,018,148,942,252,993,535,638,675,090,175,069,980,578,842,
601,791,512,708,681,985,682,977,562,767,344,769,639,342,201,475,306,707,876,
286,341,965,351,481,590,095,646,868,332,080,181,813,714,175,216,329,332,708,
973,184,791,142,279,919,998,854,030,925,264,117,689,632,012,696,810,372,020,
515,993,464,401,027,154,292,359,315,641,138,116,792,921,445,602,898,332,323,
814,515,036,501,597,913,339,934,748,103,918,558,914,718,507,238,811,779,751,
526,614,003,648,213,277,288,817,547,793,968,983,724,821,598,212,197,655,380,
452,764,173,127,030,690,567,747,108,625,105,076,049,872,750,700,499,521,006,
403,645,769,891,981,922,492,263,674,678,225,722,796,699,749,933,537,846,505,
361,864,618,585,169,589,250,932,336,884,099,874,358,759,757,439,587,671,498,
917,155,121,781,714,971,406,337,872,073,590,235,985,428,965,727,530,193,816,
326,261,137,179,125,814,941,663,244,019,554,765,349,293,128,894,279,139,478,
043,524,758,886,377,061,822,847,981,168,442,833,279,627,837,888,068,347,543,
482,835,102,506,953,332,191,588,339,971,761,294,558,644,126,191,730,570,404,
775,211,726,147,838,590,024,737,038,666,164,530,541,228,102,222,853,752,751,
613,507,016,564,956,878,285,891,884,912,198,852,841,257,525,537,510,012,503,
103,266,116,161,549,040,209,313,244,109,629,446,057,472,536,309,851,265,604,
103,137,435,860,950,892,817,582,347,460,609,779,092,861,260,159,097,524,204,
397,688,327,025,832,049,805,868,098,578,165,313,743,662,156,621,670,905,749,
727,828,663,891,219,657,299,262,415,952,789,633,368,545,796,423,554,881,773,
789,447,781,524,555,879,414,536,330,975,936,623,020,564,737,545,003,880,378,
401,465,851,928,433,747,844,865,253,133,788,984,275,672,476,767,749,278,436,
830,164,939,026,528,324,928,193,967,178,691,791,906,488,791,460,918,328,905,
067,301,500,723,582,687,520,091,227,146,665,454,367,138,066,367,684,847,062,
740,697,452,360,276,651,489,640,750,214,058,239,061,921,713,893,911,238,639,
697,954,016,530,712,117,279,137,189,173,700,210,723,366,244,364,840,310,488,
594,919,952,112,247,536,860,684,338,622,283,255,039,598,162,809,463,220,631,
993,676,030,606,625,380,432,474,375,741,859,853,528,981,809,501,341,705,305,
032,884,595,101,593,084,475,153,302,301,524,511,779,286,622,321,412,086,450,
946,754,618,880,313,506,066,051,363,698,694,838,854,180,516,243,055,759,125,
905,964,860,479,728,145,752,825,305,891,895,330,993,096,542,607,962,928,400,
182,539,338,460,331,519,929,491,070,693,399,818,367,824,283,621,017,518,776,
514,477,423,354,035,660,032,946,324,913,583,189,106,422,116,211,634,385,944,
173,086,628,647,897,278,578,481,826,226,111,655,740,928,400,331,709,804,186,
812,676,280,736,290,042,716,422,639,499,152,573,117,574,780,547,573,861,863,
555,494,853,222,860,876,265,868,883,963,183,632,152,243,162,985,321,787,176,
443,768,915,861,299,704,556,565,971,390,293,108,407,694,376,143,184,273,056,
553,952,775,065,238,605,257,887,417,019,909,476,795,894,437,578,488,413,227,
967,585,123,363,480,418,684,603,831,549,282,505,855,852,081,883,537,238,346,
138,470,965,588,952,250,902,460,725,041,044,410,514,662,611,468,042,845,328,
248,559,877,073,780,442,536,365,756,841,342,539,090,197,543,928,693,755,933,
105,127,820,910,065,583,222,889,061,421,793,543,843,272,293,343,371,755,563,
043,506,192,063,217,919,650,604,940,637,901,278,945,324,500,833,962,929,749,
318,899,454,463,989,013,399,221,142,466,211,910,200,976,802,950,720,807,307,
675,635,559,224,394,028,556,511,332,497,595,819,496,173,544,859,131,109,674,
674,653,012,778,713,645,996,651,933,754,603,405,148,160,489,701,883,122,927,
468,185,677,162,555,039,901,898,986,782,229,284,025,674,263,801,303,949,328,
962,045,517,142,641,383,105,091,812,376,032,512,772,658,835,409,202,322,326,
641,908,123,601,635,696,202,910,343,996,029,694,728,919,611,484,424,156,206,
194,363,982,904,762,759,444,467,385,916,212,369,319,317,525,995,452,045,799,
806,594,467,346,894,160,391,971,578,746,133,794,826,800,879,013,609,679,917,
376,419,630,305,331,594,228,716,024,152,229,279,415,116,107,524,837,726,312,
670,120,477,187,077,287,076,296,791,120,740,639,862,308,069,137,552,256,347,
883,151,474,798,271,286,085,674,145,203,201,819,827,537,979,812,160,323,206,
558,783,829,642,913,206,714,839,438,523,605,247,106,538,936,002,556,024,466,
879,865,361,746,427,573,144,533,584,921,751,148,035,430,765,965,587,683,190,
518,691,351,100,438,923,900,593,741,734,909,431,194,727,696,237,878,014,010,
645,751,959,926,257,508,583,893,715,272,108,920,026,273,753,164,690,011,340,
140,300,477,118,964,005,427,492,275,974,827,877,382,952,619,215,804,495,003,
960,584,083,464,578,738,938,268,899,346,282,771,647,768,748,091,962,003,264,
011,753,420,383,423,469,064,992,226,592,393,188,906,226,675,092,762,326,427,
777,126,576,529,062,869,283,776,179,637,972,173,402,406,161,034,039,436,890,
891,473,893,559,183,447,054,302,833,679,254,788,269,412,700,767,337,161,383,
210,845,853,644,217,451,452,523,622,754,442,756,769,046,359,483,723,403,887,
115,052,354,019,939,551,722,903,920,857,100,387,825,030,318,378,740,409,380,
820,727,061,119,921,260,586,026,430,168,181,154,486,126,540,552,482,245,634,
801,981,699,117,303,426,005,852,420,142,870,519,738,799,771,626,359,070,982,
620,484,838,679,375,265,940,401,358,357,631,901,237,570,618,306,145,278,111,
710,760,369,096,272,250,342,766,600,716,205,697,016,402,142,612,279,759,545,
506,086,955,325,894,544,673,206,622,303,092,659,277,821,022,040,230,395,080,
519,085,366,328,007,058,978,623,622,382,001,737,100,773,899,988,324,275,365,
322,837,291,646,737,541,704,959,316,068,354,667,680,320,017,706,460,513,236,
796,827,403,300,778,632,631,004,497,800,624,612,586,316,463,649,665,165,194,
740,179,427,075,152,514,776,468,105,568,282,016,849,152,488,580,454,580,169,
773,790,903,283,336,514,671,388,473,314,875,158,226,098,368,033,497,490,965,
913,505,038,647,256,613,429,016,628,295,773,824,574,294,633,413,372,038,308,
633,436,000,795,782,204,363,888,896,233,646,243,805,333,400,706,368,062,767,
211,524,897,258,551,828,713,343,047,252,327,925,470,915,173,171,466,372,760,
080,709,730,944,695,539,184,199,311,844,666,828,244,417,761,854,296,835,960,
322,393,438,311,875,460,795,583,584,474,797,498,653,010,923,505,140,108,492,
551,020,075,267,447,889,202,861,042,859,083,929,822,164,368,230,779,491,701,
806,582,954,179,754,041,218,247,279,330,266,926,738,619,205,667,721,760,042,
462,403,811,888,763,035,575,615,454,066,943,723,377,994,197,084,363,103,024,
307,313,552,519,161,234,830,527,244,058,488,032,138,479,976,304,041,098,120,
931,761,306,607,677,590,513,864,994,251,718,917,489,966,854,526,202,808,116,
759,729,864,896,907,323,535,721,632,944,920,796,598,768,591,470,489,415,425,
343,830,246,815,084,175,317,329,374,536,552,104,908,273,583,114,828,968,526,
386,377,208,053,888,305,067,703,267,087,833,604,605,500,364,465,309,188,680,
332,667,121,568,887,499,522,999,276,510,822,234,203,970,891,551,859,604,969,
057,290,652,220,289,631,340,846,325,378,225,694,576,789,168,879,136,608,610,
463,376,176,442,232,329,965,158,296,166,283,525,859,065,875,185,933,757,962,
404,725,424,720,401,697,606,675,337,307,777,718,014,756,545,911,203,204,866,
553,549,272,016,164,833,141,650,733,173,341,975,654,354,508,607,080,049,931,
118,222,391,185,672,362,030,545,944,617,747,990,952,700,919,938,810,978,760,
568,994,192,998,654,834,760,752,008,204,729,880,791,454,814,683,082,055,967,
959,564,918,861,596,925,929,667,868,191,432,478,459,966,367,366,640,032,994,
947,108,712,521,106,589,419,019,594,281,657,957,273,361,095,813,052,796,481,
946,970,729,988,057,229,931,296,087,759,190,580,682,119,765,469,953,694,816,
192,026,338,987,014,378,867,826,273,114,043,539,787,106,690,026,947,467,326,
627,036,942,962,387,878,900,806,303,400,009,563,842,901,695,023,097,652,412,
423,922,057,235,234,724,068,962,682,353,467,581,316,543,326,913,438,758,289,
017,615,504,244,822,955,598,033,813,311,254,919,538,561,506,917,825,349,978,
656,488,479,221,265,727,748,311,583,451,293,334,902,345,466,549,199,495,881,
261,806,368,445,198,535,636,691,883,673,831,189,538,043,824,301,736,616,219,
069,879,281,747,634,870,987,342,307,835,482,818,247,412,905,341,037,241,510,
338,115,871,703,401,893,574,396,876,219,091,921,931,948,901,791,315,934,891,
111,541,396,223,788,690,141,831,700,475,411,409,687,532,225,631,451,320,186,
557,672,193,794,801,584,265,562,563,206,336,095,318,287,619,399,819,805,424,
893,064,220,542,911,859,314,361,910,543,510,580,971,637,697,533,603,737,436,
924,527,215,143,653,411,438,850,358,548,210,808,890,370,245,236,758,786,827,
318,440,698,144,717,337,547,597,770,786,551,668,247,815,750,195,211,990,080,
235,168,646,138,826,771,040,185,494,159,691,655,818,475,227,301,086,982,031,
466,908,292,979,057,988,858,539,696,944,739,343,723,962,784,456,533,662,475,
471,336,664,903,276,356,892,232,455,339,661,002,868,647,352,393,643,726,019,
373,498,405,352,086,241,468,854,643,089,980,032,617,830,066,925,166,476,501,
515,320,683,072,860,788,088,019,079,099,846,322,178,244,845,034,561,527,638,
500,488,642,659,608,986,325,350,117,997,327,401,400,804,016,079,737,671,814,
200,671,500,547,887,793,023,520,922,506,259,304,632,358,212,313,144,359,347,
440,890,162,114,883,864,796,987,853,992,240,003,879,484,927,871,879,492,751,
407,448,169,458,981,979,704,482,522,649,803,226,574,358,333,182,245,086,604,
784,058,756,473,331,555,182,827,459,184,501,376,199,593,502,682,771,154,554,
503,212,923,715,348,409,590,571,547,026,203,586,632,813,868,865,772,635,774,
873,227,947,791,234,126,989,759,512,353,277,576,290,640,710,498,375,407,065,
703,279,977,502,522,377,167,554,132,275,477,475,785,141,707,654,496,834,314,
736,728,063,371,173,586,307,949,762,151,672,766,584,932,105,867,697,736,741,
597,891,607,997,704,471,362,470,199,920,097,358,540,599,229,639,037,672,084,
971,924,784,583,446,940,327,927,412,232,444,053,496,744,225,291,349,669,285,
924,393,859,071,703,810,166,086,340,642,313,909,500,905,499,719,400,728,744,
773,455,348,848,850,749,059,529,785,062,932,713,692,281,062,907,255,437,831,
150,875,311,269,616,424,035,125,262,499,931,886,062,714,120,422,369,489,803,
201,807,185,576,154,709,901,074,718,599,068,773,620,597,505,465,224,897,043,
504,449,680,741,201,244,830,183,618,101,676,309,525,018,307,257,111,757,165,
532,814,046,383,868,052,017,029,847,101,458,348,952,055,931,064,418,889,458,
974,267,228,793,293,131,571,317,036,864,177,045,371,246,963,224,317,161,400,
663,272,842,739,374,327,085,567,180,398,623,359,604,341,410,843,463,751,290,
163,556,828,234,012,718,358,886,306,700,596,722,063,993,208,218,610,561,479,
239,871,661,419,704,037,430,674,239,970,671,305,458,005,474,711,998,897,864,
135,400,822,703,406,462,460,480,206,054,770,287,126,724,137,104,220,491,342,
736,548,466,082,079,999,978,623,242,362,205,219,842,569,227,316,301,806,423,
606,199,715,775,609,755,861,394,790,946,883,813,279,712,150,811,068,238,164,
348,904,237,043,690,712,178,395,712,823,090,482,261,855,420,793,574,104,032,
114,408,723,560,845,461,889,281,489,211,434,912,007,450,442,026,567,500,199,
714,428,845,762,629,892,540,504,769,303,501,485,932,970,870,987,349,437,356,
329,932,093,698,319,295,395,918,831,251,254,220,547,415,134,757,854,747,351,
337,099,905,070,214,924,115,925,423,873,049,958,969,864,154,529,985,343,299,
538,498,167,244,353,662,253,685,757,996,856,820,721,417,078,214,193,641,584,
448,559,999,275,654,730,523,239,782,793,640,311,225,604,853,144,086,576,658,
194,350,078,765,297,821,550,838,444,793,973,202,530,076,099,220,696,386,447,
287,806,356,240,655,416,788,973,269,381,579,055,303,869,744,930,369,278,316,
856,291,271,912,329,920,517,970,978,154,058,033,061,112,803,024,372,497,185,
841,926,834,337,339,342,206,433,178,182,461,943,810,802,348,855,381,136,174,
347,265,619,092,553,847,100,835,008,269,413,960,707,897,568,731,340,931,287,
219,230,204,838,743,752,360,444,775,105,808,835,996,288,497,126,912,491,797,
692,965,168,184,273,152,563,889,135,757,763,180,438,856,887,006,694,255,005,
520,102,328,596,837,660,499,341,452,671,924,942,660,608,531,847,598,795,032,
036,231,503,296,682,551,610,803,195,443,128,982,084,644,701,113,724,243,500,
782,350,342,116,261,766,248,090,067,616,281,976,670,481,307,833,803,494,576,
410,384,037,227,270,300,868,540,834,757,966,206,796,108,999,736,449,869,561,
504,469,155,500,945,277,331,506,444,860,851,617,178,349,718,714,219,921,519,
945,462,721,055,787,201,609,081,072,946,330,910,671,242,000,819,052,047,159,
841,486,350,753,358,348,640,262,542,139,093,222,738,521,668,829,822,003,242,
582,420,964,768,960,140,025,728,693,792,981,013,183,066,518,526,807,237,613,
376,414,738,726,951,708,882,689,921,696,584,023,068,771,855,474,813,982,284,
183,155,376,600,798,127,481,397,405,805,956,009,254,280,980,985,504,663,993,
446,540,379,770,061,652,351,551,072,934,931,657,497,126,357,682,759,164,475,
289,634,340,818,901,246,014,067,512,760,794,383,768,567,418,832,687,674,076,
987,627,760,649,822,024,690,297,250,411,379,089,191,543,393,980,201,280,436,
463,368,688,515,450,234,157,159,580,603,178,096,486,595,433,997,018,597,432,
025,781,650,599,011,963,719,746,982,416,097,091,314,785,299,137,879,172,426,
001,185,309,787,692,411,781,022,028,672,618,070,036,864,508,870,936,353,034,
198,750,330,888,482,271,652,453,027,848,377,216,820,120,024,695,142,636,892,
591,202,835,860,384,823,826,763,716,466,543,147,155,682,596,091,327,096,915,
499,553,102,023,636,275,073,845,377,668,676,508,900,739,318,725,645,528,324,
577,232,931,027,420,735,235,204,860,093,131,278,204,482,191,046,577,465,170,
683,769,974,860,733,982,217,266,727,140,427,002,692,373,415,806,418,368,354,
357,518,084,147,728,437,762,386,781,326,696,976,861,557,167,526,269,863,370,
139,534,181,101,351,281,688,531,796,739,031,869,109,051,297,191,304,245,686,
871,345,330,310,622,530,839,392,435,680,887,799,129,349,405,049,388,321,450,
685,168,389,275,215,423,827,175,003,656,714,137,912,907,683,031,736,401,282,
107,631,732,453,553,369,949,706,146,784,698,961,738,520,568,781,404,504,293,
169,630,992,079,550,478,738,687,967,956,260,938,020,857,851,023,402,671,819,
700,120,509,751,130,455,159,379,772,034,666,067,582,413,924,713,810,699,696,
651,214,327,681,101,897,406,616,905,557,648,563,181,113,965,396,342,202,604,
267,901,238,414,609,528,491,907,403,509,513,458,053,506,712,227,594,601,205,
252,862,288,112,338,320,755,654,544,588,211,343,097,861,069,411,353,232,958,
410,585,837,011,721,490,046,662,624,581,830,339,499,258,741,172,852,393,720,
345,760,071,270,529,888,822,766,654,579,874,958,063,195,097,093,658,314,829,
950,779,934,265,428,202,532,951,820,010,039,928,069,146,072,475,496,016,184,
243,700,599,117,940,522,428,333,118,593,360,940,636,373,953,395,705,888,572,
017,000,889,431,049,521,827,456,406,508,675,792,857,649,174,011,842,145,497,
815,456,729,483,883,782,869,269,560,256,323,817,026,262,286,010,414,079,444,
863,312,361,850,741,323,128,857,863,444,981,289,052,082,642,444,057,916,931,
906,182,767,651,765,680,337,002,575,651,792,067,075,177,282,694,653,840,430,
665,921,915,449,995,311,074,764,433,744,489,151,566,233,179,704,263,323,496,
583,033,943,937,899,082,583,275,041,920,237,879,809,030,417,857,774,006,111,
536,089,712,339,056,865,731,102,600,145,962,773,411,560,837,465,404,173,147,
571,728,888,377,270,199,204,813,622,521,384,093,972,662,856,056,965,964,349,
166,435,403,402,494,914,169,525,203,706,995,714,970,123,989,636,252,802,511,
917,647,903,275,315,726,130,500,471,580,734,052,654,530,174,273,378,723,968,
346,220,494,597,604,359,651,312,882,615,054,316,190,201,604,600,215,320,956,
309,338,712,815,452,721,142,011,245,843,868,675,356,320,735,365,122,714,167,
041,495,333,064,457,489,408,789,546,475,668,859,279,694,643,985,631,514,884,
242,823,016,424,107,911,667,388,192,277,042,261,289,665,261,260,304,776,287,
345,870,239,643,725,672,715,306,451,259,950,262,856,692,568,689,240,633,560,
245,782,710,823,635,115,974,566,789,813,563,973,497,502,750,151,181,942,836,
859,321,918,985,209,769,109,927,103,406,889,122,054,902,201,636,363,736,839,
463,536,510,806,599,666,347,066,915,694,667,353,620,002,452,630,362,431,973,
202,174,163,682,936,153,399,098,278,105,984,734,089,684,425,195,396,657,028,
348,736,967,664,336,359,089,655,802,587,176,813,161,186,241,261,519,883,046,
860,290,676,726,592,730,880,097,804,435,710,364,897,441,138,525,112,613,531,
886,784,270,626,867,967,645,457,365,285,493,800,799,478,674,567,373,036,597,
548,374,714,552,561,302,225,374,917,362,318,614,722,713,119,085,402,051,255,
951,362,021,941,745,842,450,746,519,818,146,040,127,720,329,597,251,219,836,
338,259,231,368,642,183,534,379,417,622,891,111,786,976,989,949,831,305,996,
015,879,800,504,389,563,838,550,729,704,342,525,230,756,159,214,676,232,154,
774,360,064,074,193,876,155,492,393,249,637,676,203,413,550,117,419,481,789,
098,218,418,393,772,161,512,810,686,394,042,818,632,869,301,543,418,957,594,
233,687,617,135,851,072,406,371,138,116,552,542,768,743,946,383,267,865,817,
652,847,977,003,157,289,934,661,764,529,735,160,985,934,070,269,739,868,898,
296,612,717,887,004,718,650,561,390,614,541,133,468,342,639,717,164,399,652,
208,385,612,223,622,355,925,828,332,815,756,348,571,728,092,471,203,771,378,
065,301,795,543,101,204,975,508,103,445,341,641,875,193,215,390,350,406,126,
268,196,119,692,659,340,463,880,310,705,427,448,044,863,015,017,681,847,790,
986,047,603,238,495,929,266,662,263,614,154,018,486,311,142,110,509,320,782,
522,505,488,648,959,152,477,307,880,230,726,497,676,889,630,403,622,130,181,
600,247,001,590,347,520,348,876,572,541,851,483,668,073,065,382,738,307,702,
974,380,622,844,813,653,482,229,398,054,777,531,245,517,627,621,706,473,999,
660,676,088,283,834,990,486,590,840,428,644,539,527,384,676,143,033,135,132,
798,344,188,941,896,744,475,175,701,655,451,294,613,864,592,092,145,621,573,
992,941,122,561,867,571,298,697,565,037,827,669,256,566,015,914,855,590,927,
774,908,387,145,597,002,122,537,684,839,669,541,450,822,842,101,033,168,683,
252,609,260,964,356,723,154,403,851,473,340,272,091,671,400,429,427,179,383,
274,305,530,294,761,871,766,665,712,137,009,183,895,326,218,153,153,363,995,
404,027,798,093,926,735,379,934,389,970,500,877,064,876,352,770,513,359,018,
142,372,723,300,338,153,652,800,645,312,419,622,558,331,345,872,277,058,740,
803,182,030,044,982,147,445,128,696,078,751,744,640,146,044,834,731,885,879,
318,933,799,839,378,718,985,711,363,273,882,825,329,351,971,914,265,662,681,
059,339,154,086,845,135,470,488,924,535,693,542,594,312,673,974,848,486,430,
245,850,746,844,671,420,639,810,150,550,005,884,840,118,890,558,660,384,567,
177,559,972,818,151,270,669,140,579,358,576,211,220,276,466,877,484,305,593,
778,483,969,327,611,474,289,764,926,414,057,968,284,925,792,858,805,029,570,
394,581,301,531,296,574,007,823,961,901,150,607,938,487,673,014,065,455,515,
236,257,903,979,071,224,655,521,120,118,554,732,640,332,948,034,080,482,499,
688,848,757,812,849,419,332,340,197,822,182,323,272,400,585,046,503,383,571,
373,580,662,934,266,905,466,254,398,747,212,762,377,923,879,935,116,766,460,
898,764,857,480,954,541,707,687,119,936,175,135,680,320,061,390,970,790,636,
034,483,982,574,938,870,162,389,200,730,757,878,942,110,270,259,224,647,840,
285,372,962,162,120,446,104,077,711,656,713,755,907,661,741,647,144,109,631,
466,599,948,885,197,068,031,487,109,852,387,691,319,425,570,108,646,795,470,
094,375,788,258,866,812,362,301,212,221,171,910,758,707,358,367,730,479,910,
151,343,612,358,056,110,023,167,071,706,893,759,558,313,230,160,374,518,004,
428,640,062,291,235,780,957,908,323,717,032,942,170,535,118,859,933,277,820,
138,055,050,509,417,336,515,515,426,523,497,777,747,067,688,246,241,940,964,
382,474,566,333,180,986,114,956,854,255,464,952,891,733,834,699,922,522,323,
092,100,586,719,735,107,890,193,511,807,355,195,676,648,112,221,759,511,555,
389,635,125,946,895,674,851,816,772,000,871,467,885,936,984,801,991,213,769,
595,440,787,685,451,461,254,815,958,566,486,918,608,606,829,495,760,683,262,
417,907,770,932,215,956,575,545,815,414,468,839,151,406,271,243,254,676,127,
988,391,463,013,207,853,712,511,144,446,443,340,442,568,541,807,157,180,957,
787,982,611,625,237,095,839,412,461,942,519,637,531,162,612,533,465,360,770,
674,204,662,422,737,514,356,417,931,829,506,848,546,498,553,871,375,604,488,
168,150,631,159,121,153,906,315,901,284,576,362,370,890,457,388,857,745,217,
210,241,498,069,645,523,213,146,602,906,019,559,387,807,021,418,056,972,502,
366,742,851,731,649,944,332,554,132,958,114,048,465,420,204,346,568,205,675,
935,787,529,899,494,670,239,206,305,784,784,273,509,293,669,834,896,083,418,
424,321,391,406,803,809,075,120,793,701,709,384,793,936,682,026,545,981,527,
862,064,534,437,944,658,770,494,193,971,430,908,698,348,770,162,589,506,974,
249,372,884,939,901,645,078,167,413,281,704,550,368,586,657,956,191,060,792,
042,007,468,125,768,316,079,467,092,074,164,082,781,688,005,910,852,118,616,
643,967,219,609,299,404,709,072,745,253,734,090,082,027,129,817,435,068,104,
605,179,272,639,186,107,999,717,568,543,148,843,079,174,396,614,524,647,312,
295,700,970,298,959,366,739,442,758,427,072,712,560,988,482,441,195,640,844,
786,674,163,477,570,296,025,782,009,181,571,990,299,308,601,558,808,341,412,
378,929,254,857,161,417,899,448,686,510,848,183,069,167,514,810,003,750,841,
281,839,560,152,293,158,522,043,459,864,151,063,778,965,081,726,466,696,101,
657,927,489,751,356,547,956,981,100,561,920,233,173,658,113,663,946,620,140,
772,916,889,842,177,839,220,604,048,013,464,069,435,864,134,234,089,154,577,
503,819,063,092,910,240,086,783,361,396,883,416,313,435,661,323,615,500,441,
922,568,813,020,731,176,902,650,558,112,873,860,883,299,015,834,694,167,723,
025,037,076,831,344,419,557,912,172,518,342,968,998,505,986,153,497,135,254,
765,567,774,436,028,324,054,081,177,337,892,817,745,508,003,731,797,602,699,
709,338,135,016,076,768,967,462,058,615,503,615,995,911,018,782,858,801,535,
574,254,794,926,409,480,364,543,141,654,606,596,757,113,256,581,798,946,259,
185,552,801,827,558,992,953,907,215,238,405,776,400,452,540,950,113,334,738,
926,861,242,843,516,846,592,936,129,720,979,216,435,171,930,817,040,351,931,
399,459,310,015,440,244,864,666,393,193,384,402,818,746,517,255,748,269,794,
720,596,254,458,981,208,847,802,029,917,641,674,345,302,385,356,821,436,111,
151,925,800,081,996,370,104,195,191,807,379,971,976,188,772,970,059,611,544,
349,981,610,311,459,376,451,382,879,077,609,627,221,523,583,393,245,614,360,
010,414,655,343,624,874,231,999,814,150,543,012,245,442,821,403,733,685,899,
691,135,122,352,177,955,693,697,560,018,567,495,162,651,933,183,272,553,613,
573,445,779,991,214,284,845,903,500,773,606,894,217,634,584,911,768,744,387,
262,658,328,317,194,525,558,697,092,268,518,145,574,420,346,090,526,314,086,
040,648,766,285,885,820,828,498,179,841,058,005,825,997,524,253,449,538,471,
824,224,764,857,344,264,467,692,999,660,860,731,563,955,468,841,864,827,158,
587,630,250,890,208,395,640,170,520,814,357,322,318,485,334,588,425,803,332,
165,205,087,002,084,113,334,161,509,745,099,654,955,874,314,447,104,809,491,
668,730,712,208,438,691,388,681,493,316,878,331,647,190,346,192,724,555,141,
771,581,575,145,508,345,643,247,175,768,496,458,288,053,133,606,787,506,294,
097,906,716,885,003,437,267,777,046,721,057,373,168,627,124,617,263,495,889,
138,286,864,431,730,410,797,705,642,290,001,794,295,429,604,781,978,474,268,
946,123,988,118,735,720,169,274,646,052,611,895,252,198,494,675,883,177,434,
142,169,607,988,445,613,551,292,428,647,780,251,473,973,120,474,100,034,081,
105,289,762,264,247,346,286,495,540,223,885,865,520,105,671,422,596,461,001,
812,927,563,516,872,134,186,887,130,540,309,340,421,709,908,141,201,169,738,
891,354,512,809,360,867,155,412,952,173,542,027,840,787,242,090,451,500,556,
385,341,297,739,851,514,254,620,851,606,510,920,005,894,232,682,549,226,624,
628,080,204,376,519,689,414,850,148,072,626,511,632,738,369,349,493,900,199,
633,964,977,757,404,874,458,649,061,390,023,927,635,225,457,948,546,915,122,
298,427,841,953,683,491,920,605,974,441,779,233,093,967,419,889,955,195,281,
486,483,951,023,814,854,442,628,745,786,132,131,950,130,930,796,519,290,194,
602,184,048,400,012,469,729,558,340,892,550,571,946,457,768,307,797,649,478,
835,376,382,718,872,407,975,597,268,833,671,969,070,559,720,888,347,475,072,
519,625,259,459,277,893,127,235,533,029,871,124,676,561,696,347,854,051,881,
987,415,603,903,466,162,690,201,843,723,803,452,282,688,840,308,234,362,685,
999,262,819,142,442,996,295,279,313,104,548,698,799,508,445,845,150,167,314,
172,435,513,832,035,564,904,837,644,080,765,790,248,796,585,508,420,870,839,
378,662,447,521,251,098,884,457,994,757,058,114,934,545,274,109,135,860,285,
837,134,970,962,275,648,237,533,295,512,969,796,705,214,351,772,109,573,457,
354,178,601,334,359,154,495,427,378,322,583,751,871,603,255,174,473,858,482,
828,299,133,529,370,736,313,589,420,883,056,451,563,546,861,511,680,358,854,
300,445,665,288,142,469,267,452,968,988,185,017,861,588,575,616,054,733,481,
085,554,898,507,247,772,355,109,860,868,412,070,889,895,667,864,045,302,446,
242,333,065,579,252,199,026,420,371,553,198,391,658,992,965,105,721,725,701,
285,445,211,978,779,254,223,100,083,943,568,276,677,538,206,343,173,289,725,
746,135,055,439,141,642,321,651,579,535,548,839,476,143,696,067,069,400,453,
011,017,650,790,581,384,865,244,503,376,077,644,180,698,775,184,101,003,258,
459,961,528,791,750,781,808,990,893,404,741,138,983,069,651,998,019,471,725,
169,701,830,223,739,428,766,712,161,993,476,883,220,765,961,204,440,261,355,
473,838,474,454,918,930,690,405,742,871,229,849,574,875,671,925,592,805,685,
182,624,683,060,407,208,551,405,935,660,695,713,217,205,670,220,034,123,958,
558,998,964,549,468,220,203,361,160,586,218,767,967,182,844,606,923,831,936,
984,730,344,197,303,817,232,052,574,209,607,956,954,262,765,746,135,878,952,
345,244,792,331,470,262,502,023,609,156,244,019,611,750,903,062,534,494,088,
835,996,741,310,621,462,010,377,103,815,343,711,427,654,530,743,780,931,779,
896,311,030,926,450,634,791,238,490,360,067,070,774,955,824,747,385,204,851,
127,200,995,210,916,835,805,992,900,329,066,689,321,857,153,713,122,795,226,
530,314,639,630,751,610,253,112,711,686,644,484,771,463,086,581,085,886,337,
499,615,330,845,284,746,683,957,579,516,828,146,109,164,399,884,369,180,734,
796,222,885,057,042,023,038,734,287,187,715,732,996,414,464,529,849,512,426,
845,852,818,473,663,259,638,761,483,972,800,495,280,556,412,487,637,721,076,
448,458,653,028,433,072,731,660,267,765,324,603,501,260,281,909,414,012,227,
907,751,254,456,980,423,904,180,063,201,926,408,668,164,475,775,080,382,483,
706,057,130,999,371,642,715,413,554,576,768,200,542,315,794,543,446,799,444,
195,672,101,950,531,729,882,872,443,837,597,294,368,798,899,848,736,326,588,
273,889,094,086,357,126,554,127,550,731,596,245,410,445,870,523,376,897,349,
013,494,842,887,867,662,969,027,638,632,070,085,347,455,399,229,207,024,639,
958,911,034,262,379,285,150,733,372,255,991,836,720,322,272,255,308,825,392,
993,642,160,108,929,573,843,090,747,944,201,326,790,833,722,433,244,571,027,
618,937,052,666,586,623,770,464,134,245,174,153,683,796,584,609,640,918,835,
432,338,086,710,620,607,130,618,201,155,959,549,084,992,999,165,052,576,635,
850,452,675,753,305,843,281,901,363,077,933,952,199,708,103,191,566,292,185,
992,842,858,213,344,534,135,982,784,481,991,590,805,226,594,296,443,534,830,
566,577,979,669,069,602,600,064,093,051,681,852,597,679,591,144,685,535,243,
498,441,287,099,956,558,885,513,220,748,381,697,263,567,584,694,827,968,341,
852,523,288,528,127,218,767,031,040,905,805,046,132,881,424,965,833,838,445,
807,877,882,342,571,693,673,786,295,310,466,235,008,607,274,030,384,969,703,
939,272,567,591,231,307,048,657,168,059,141,026,545,572,451,430,724,755,671,
976,742,293,128,445,160,986,977,754,993,339,728,893,394,778,813,404,588,373,
650,246,093,513,347,672,023,530,261,709,593,819,888,847,989,583,333,829,716,
416,864,383,844,938,997,823,339,107,902,575,943,540,083,520,843,407,406,024,
737,088,427,692,626,086,671,840,102,865,181,067,260,559,148,049,958,485,510,
819,708,894,864,356,221,483,475,512,330,983,608,098,155,017,687,299,060,190,
914,972,021,433,958,854,842,786,727,851,265,268,737,123,918,755,609,987,978,
367,813,376,156,431,742,517,006,915,520,582,662,385,374,475,871,384,928,102,
011,470,949,060,108,334,473,003,040,028,307,243,005,033,917,898,019,182,440,
192,371,178,306,731,209,524,942,625,172,620,555,555,471,124,241,423,097,952,
632,141,605,862,417,474,158,393,575,926,184,111,293,429,215,516,281,530,700,
350,871,138,420,940,445,489,146,095,575,056,446,097,167,435,125,234,444,223,
764,300,381,853,922,352,088,742,107,590,443,061,108,539,877,386,656,226,548,
461,159,939,644,011,972,082,959,477,887,733,941,175,286,370,687,233,700,871,
485,168,342,200,467,604,866,621,884,658,981,446,168,865,262,480,345,428,084,
993,453,651,756,373,668,865,588,414,822,727,074,510,210,428,484,125,035,629,
045,534,696,902,446,058,492,882,458,231,083,043,456,821,643,620,850,174,667,
737,901,632,634,203,777,198,985,859,358,738,651,125,654,430,973,881,641,656,
519,687,358,562,735,113,830,687,128,421,022,334,945,128,909,538,340,821,818,
502,060,154,508,057,131,965,731,938,726,150,845,502,947,876,478,975,998,333,
866,116,940,751,224,879,568,834,254,304,693,180,716,650,797,887,116,060,278,
375,246,722,064,637,424,118,847,127,954,063,461,924,184,874,561,644,011,442,
890,590,135,233,900,291,714,840,697,809,712,666,311,191,521,060,521,413,275,
465,406,278,831,957,574,799,213,166,291,676,840,927,533,908,273,320,733,533,
153,201,874,644,229,626,838,647,899,217,008,734,958,497,195,371,786,557,561,
455,824,454,267,481,129,296,776,903,629,826,878,212,094,052,503,775,191,270,
944,999,468,345,873,363,611,607,667,775,328,720,942,555,409,214,961,782,903,
139,726,621,997,110,719,395,208,013,127,294,305,118,231,394,026,912,205,886,
257,394,451,309,830,019,112,636,248,463,807,535,690,021,144,603,220,800,776,
330,102,853,853,510,070,965,492,266,302,837,885,507,949,926,566,567,652,610,
208,886,157,878,774,838,007,328,248,616,446,996,742,669,245,645,588,553,279,
226,971,670,818,052,143,512,589,526,038,807,955,308,304,884,253,422,730,057,
248,294,462,752,442,083,032,639,943,556,930,492,915,291,779,744,880,443,170,
662,091,562,261,749,390,596,220,643,051,280,996,594,336,935,772,398,180,190,
504,776,113,860,296,021,938,314,645,037,976,346,911,525,801,632,223,102,926,
837,307,738,465,483,769,505,522,331,284,036,271,665,639,019,869,263,113,267,
899,141,164,514,642,499,067,505,613,374,255,877,210,886,661,961,910,269,512,
719,943,672,275,899,124,384,343,584,774,696,257,838,425,823,110,717,189,068,
408,378,230,298,919,088,758,053,714,559,233,189,638,436,759,750,784,073,607,
775,955,266,498,931,495,703,268,987,388,547,533,903,340,689,663,805,434,357,
377,726,566,866,484,056,391,782,479,411,692,164,375,191,537,459,782,634,274,
316,353,370,984,557,559,976,598,093,363,516,308,164,765,232,759,504,038,124,
124,412,677,920,599,120,640,842,052,188,413,043,467,577,163,979,671,953,557,
978,709,052,007,247,260,099,317,960,812,818,943,108,865,870,236,800,599,707,
613,444,855,263,282,426,280,133,157,578,196,698,367,394,359,958,600,986,682,
019,982,711,550,095,184,328,589,502,321,862,860,289,511,973,924,819,582,207,
452,922,198,781,250,488,844,170,713,747,012,701,430,333,929,890,299,968,586,
309,470,644,330,425,166,064,905,670,007,260,356,971,068,677,921,269,046,353,
060,662,097,366,192,144,655,154,708,197,132,475,214,625,315,415,943,780,181,
341,755,249,278,082,763,232,516,047,059,221,964,709,930,485,296,228,969,918,
733,689,245,788,834,414,593,365,569,944,917,088,075,071,051,196,890,864,048,
520,259,282,468,917,287,384,641,927,397,537,414,348,855,250,101,183,445,209,
428,459,430,363,622,257,673,932,931,094,932,643,631,660,657,493,740,842,741,
559,868,104,308,046,946,622,311,669,558,315,203,931,361,119,158,999,412,914,
880,651,959,294,318,276,683,052,598,187,560,951,357,615,734,377,980,944,525,
856,909,403,879,351,379,208,615,730,728,150,246,937,991,358,997,015,779,746,
400,158,926,034,380,755,905,328,262,384,375,302,751,685,475,599,578,516,703,
164,692,965,903,749,631,239,882,454,053,517,782,272,740,196,507,798,505,909,
286,679,282,942,686,325,548,811,732,873,317,799,477,518,713,941,636,232,695,
515,273,121,651,481,592,064,064,065,046,217,957,327,856,358,910,330,196,749,
062,031,741,919,485,101,209,959,126,586,108,588,067,889,318,150,892,185,728,
179,402,429,024,413,423,384,352,023,917,351,823,846,202,905,238,606,728,658,
365,801,989,115,990,187,285,582,944,378,089,186,180,076,205,110,202,234,145,
201,246,673,418,577,566,858,739,712,051,018,211,035,632,693,147,390,859,003,
501,379,298,812,939,176,309,998,451,600,060,550,478,108,954,618,742,221,903,
072,609,514,087,059,772,905,718,096,410,234,013,682,185,930,521,402,786,279,
921,217,995,114,634,171,000,508,456,498,618,543,508,778,064,778,465,569,232,
627,017,870,983,847,885,709,167,585,771,525,274,173,206,659,611,035,351,298,
767,283,306,073,877,006,389,523,417,561,682,104,119,054,374,254,420,782,967,
563,538,377,531,073,845,713,757,382,052,644,501,787,174,774,179,149,486,578,
535,859,475,529,576,603,893,492,090,472,595,696,281,456,241,795,865,568,206,
024,852,736,581,322,074,026,569,334,775,977,821,735,727,723,611,541,143,786,
444,364,730,907,012,323,526,525,861,222,147,600,561,650,123,054,877,122,754,
516,131,314,775,940,814,397,873,689,998,716,248,003,840,899,642,599,393,534,
828,228,093,169,705,389,280,115,692,982,939,481,977,252,619,274,237,792,906,
526,803,116,999,437,522,764,720,941,969,512,750,394,770,445,159,245,772,961,
832,473,197,129,800,602,546,644,703,535,985,105,766,611,643,417,315,343,347,
930,031,704,344,262,108,669,943,771,502,725,684,759,142,594,510,980,680,766,
797,914,198,752,174,464,129,731,528,239,443,913,206,954,750,313,897,835,970,
333,225,237,057,901,063,107,170,251,185,078,799,986,712,821,999,409,727,679,
534,539,048,444,601,142,259,917,449,530,612,432,156,709,520,929,580,761,404,
155,252,260,055,065,948,433,143,257,870,843,076,266,970,371,319,448,712,817,
745,337,011,966,826,806,456,437,203,243,242,822,398,697,459,900,388,700,837,
699,489,412,717,559,420,404,140,658,254,562,848,132,027,578,815,225,804,154,
251,285,170,675,602,750,219,987,580,228,193,778,641,902,511,725,730,762,266,
104,173,624,755,878,347,975,755,819,292,991,312,882,519,044,577,026,581,660,
759,497,642,806,362,494,238,330,282,550,974,259,087,184,184,927,236,633,672,
163,632,687,360,536,894,536,826,177,208,821,382,456,619,378,082,933,720,466,
940,230,526,807,445,225,083,859,746,984,907,996,517,279,268,722,888,870,049,
679,731,644,035,252,672,102,489,140,788,163,711,240,246,546,895,308,452,369,
983,153,561,405,508,977,631,296,971,931,143,503,639,082,962,673,629,472,728,
274,907,996,170,305,512,101,973,516,785,529,156,599,627,995,118,956,219,998,
070,765,380,629,049,486,143,708,654,084,237,673,266,299,969,721,965,033,608,
830,707,300,190,705,092,998,088,509,135,583,729,618,743,579,624,455,563,731,
315,191,014,110,752,813,837,186,277,667,262,865,279,566,589,978,275,445,353,
972,274,120,582,702,477,890,643,475,150,476,768,625,002,314,660,366,077,716,
139,726,913,398,741,039,104,720,830,982,688,201,275,100,255,531,382,235,060,
390,875,046,497,713,837,231,399,731,168,443,921,366,513,158,454,150,338,136,
585,092,567,926,411,669,856,844,687,646,107,204,727,790,245,988,907,863,168,
887,073,695,894,907,660,416,158,183,114,802,756,998,099,947,306,635,740,145,
888,835,796,602,597,931,040,795,324,289,173,441,468,682,968,185,925,261,490,
024,513,599,965,461,395,159,657,410,045,468,795,143,996,627,834,749,475,005,
003,525,551,411,376,308,262,094,603,301,139,432,824,342,069,462,489,791,064,
569,191,567,539,664,065,555,933,311,392,663,093,602,059,864,095,198,790,124,
275,896,813,535,609,095,138,227,286,394,316,766,439,718,380,096,071,274,568,
953,113,706,305,482,151,172,865,726,432,860,184,907,258,728,033,336,612,780,
626,773,589,139,669,037,641,059,010,253,968,632,889,644,701,213,203,290,893,
326,160,329,792,921,705,709,635,999,856,005,197,097,661,639,602,073,378,663,
840,575,385,386,689,739,603,964,818,236,546,473,880,422,949,798,259,180,047,
487,286,226,741,903,810,365,189,160,634,460,576,365,536,625,833,153,144,612,
604,768,608,326,685,342,134,208,607,726,869,288,174,752,279,140,181,367,640,
961,918,097,261,486,427,989,581,714,473,510,585,184,408,784,468,155,005,008,
608,276,810,199,656,014,247,124,121,623,163,801,640,902,651,237,610,852,520,
496,560,378,718,079,805,330,495,177,470,803,901,221,282,601,432,496,676,727,
792,173,317,245,699,882,047,625,545,508,957,593,471,115,472,243,322,569,078,
181,633,071,121,425,250,408,560,002,897,351,371,859,813,789,944,058,025,873,
017,663,239,960,897,744,112,778,121,801,715,511,637,868,572,210,061,147,202,
456,193,793,081,634,036,251,552,945,596,079,466,730,742,195,225,209,587,542,
150,495,138,118,686,763,797,418,915,273,970,810,095,563,728,389,195,331,634,
213,823,861,513,144,297,574,333,174,754,611,265,904,131,655,399,796,685,543,
855,329,889,414,600,251,813,930,410,536,611,744,586,819,301,196,194,017,344,
934,068,918,751,850,526,257,466,851,368,378,164,428,603,032,648,819,026,391,
182,754,433,260,659,616,612,664,352,077,507,325,828,348,288,700,417,874,380,
723,658,023,336,640,634,676,511,351,064,368,480,770,318,353,158,735,647,641,
373,867,041,573,121,024,984,052,056,550,483,264,800,322,067,244,299,109,883,
531,419,175,062,214,485,345,904,628,221,222,132,016,014,262,626,950,036,380,
040,440,403,905,440,518,923,737,951,342,983,115,386,196,501,169,825,316,674,
408,037,785,820,879,688,491,713,261,507,059,609,585,473,599,379,676,759,936,
547,554,586,121,149,315,764,187,944,082,208,807,354,000,109,887,202,963,921,
712,180,754,863,494,472,109,676,317,955,467,498,689,890,089,625,554,920,697,
072,964,437,410,438,257,741,803,337,336,283,774,406,725,690,855,483,049,134,
254,921,873,194,096,912,052,884,616,077,944,336,374,776,596,907,250,214,439,
895,350,462,634,460,238,775,114,988,843,775,688,133,518,939,787,158,203,314,
913,253,545,720,015,738,137,650,617,573,634,802,036,520,656,757,129,342,685,
414,188,121,472,902,209,657,475,155,624,131,478,500,591,232,914,753,263,514,
389,003,009,882,180,988,264,231,650,384,114,650,352,582,557,548,052,153,087,
678,703,647,339,544,226,127,573,673,520,761,747,985,735,667,326,643,899,752,
154,234,092,014,114,025,154,471,890,327,743,691,719,138,861,262,584,758,431,
480,029,026,420,764,601,679,304,992,030,872,362,252,775,402,029,160,679,236,
071,561,673,566,245,110,194,557,811,398,033,166,590,203,144,490,886,832,613,
270,498,912,008,147,565,221,000,747,498,414,634,358,975,988,404,929,251,504,
642,094,389,233,307,917,978,839,371,251,883,381,974,133,023,709,077,773,391,
881,058,681,081,036,432,848,042,299,726,355,814,482,924,725,571,611,765,035,
578,820,555,017,905,594,383,297,237,388,261,373,665,419,717,425,014,789,560,
776,180,412,986,130,366,580,689,188,488,096,403,172,028,487,669,136,670,757,
229,012,784,062,984,194,501,961,015,595,440,421,991,116,278,055,060,650,626,
863,297,299,959,530,303,272,884,616,901,426,567,685,286,149,334,094,618,301,
097,933,235,925,061,115,417,074,066,670,362,944,491,149,154,890,968,020,783,
923,958,365,844,758,419,449,172,204,372,381,970,681,892,594,777,156,068,368,
071,200,536,851,318,440,734,270,592,309,338,171,698,223,885,810,325,738,404,
081,490,690,304,311,289,416,163,155,531,625,689,436,923,004,864,373,524,759,
231,216,592,739,736,705,628,392,641,351,954,918,892,562,565,920,282,234,813,
405,847,362,478,742,586,589,494,872,235,325,052,321,984,428,365,433,439,814,
487,076,733,899,065,721,657,570,230,591,363,873,446,537,886,031,489,407,352,
611,440,995,157,911,800,371,722,140,492,666,349,558,751,174,125,414,565,579,
525,768,896,709,234,079,889,576,668,610,275,059,018,846,634,798,318,588,415,
543,260,644,623,156,203,518,048,544,674,736,905,844,892,572,886,645,652,163,
521,025,550,712,208,526,061,137,210,511,781,859,144,867,650,502,747,831,109,
619,837,247,865,218,392,676,948,021,011,138,818,474,741,075,206,822,557,421,
662,163,899,700,120,573,801,649,959,930,604,520,651,658,178,555,581,792,495,
866,937,524,967,841,361,479,986,525,415,871,521,381,014,762,408,913,443,634,
688,478,939,761,215,890,287,411,400,962,866,682,723,521,422,006,939,060,989,
577,175,010,967,517,732,327,808,930,967,229,680,594,714,311,808,438,368,179,
699,151,014,100,085,968,233,953,930,118,787,798,575,758,680,649,960,392,312,
557,815,804,003,512,554,676,904,347,577,969,903,965,882,876,979,783,789,700,
868,952,592,071,027,169,222,445,448,633,289,645,003,307,818,571,370,059,038,
634,482,993,955,156,986,512,958,194,805,676,502,160,457,593,003,608,459,552,
283,129,825,968,612,524,857,783,197,889,561,417,640,597,442,706,025,386,162,
113,099,027,203,128,926,062,612,504,637,527,454,445,593,587,582,964,916,544,
617,713,956,043,745,029,330,540,751,571,677,831,168,521,867,207,052,765,874,
007,453,597,787,303,508,958,604,296,672,718,918,965,402,633,340,010,757,823,
214,837,720,418,902,838,895,002,558,293,221,536,473,995,422,164,743,192,742,
686,874,173,134,892,810,604,608,909,668,558,151,627,274,242,066,793,895,548,
391,453,240,959,785,016,877,935,053,351,242,011,026,436,400,867,484,419,644,
990,305,156,296,638,407,974,356,772,207,182,719,437,702,255,671,394,156,936,
085,608,701,275,940,212,573,198,430,862,931,546,528,508,540,141,518,649,392,
136,452,418,326,460,137,956,313,184,666,227,637,140,889,733,798,927,599,570,
209,742,934,560,037,851,426,428,849,858,980,417,927,666,405,284,811,007,823,
260,160,961,731,611,343,283,059,806,552,392,342,635,600,129,684,878,428,857,
321,060,925,107,240,790,629,995,467,582,601,287,230,217,365,354,709,110,195,
126,136,263,675,233,320,178,769,172,647,071,119,109,199,109,169,695,369,796,
672,888,793,887,586,712,069,642,350,797,326,920,614,687,223,822,724,488,786,
222,528,294,465,341,827,684,657,508,906,042,528,089,176,438,353,114,847,314,
129,159,953,551,863,443,493,114,329,895,126,629,675,180,074,936,157,835,963,
183,553,667,500,582,391,688,871,262,556,408,374,886,078,033,191,780,191,110,
629,254,479,873,422,767,932,773,561,728,348,397,949,206,449,173,816,040,792,
362,257,326,421,194,213,402,200,591,898,269,020,272,241,756,546,641,942,672,
548,442,237,833,480,184,797,194,298,578,798,268,539,764,645,640,407,153,230,
931,565,504,549,688,412,481,194,856,148,575,463,369,996,672,400,423,534,488,
393,033,053,343,473,936,261,075,538,022,889,894,857,712,164,992,221,211,343,
562,006,458,747,060,606,652,815,665,144,396,644,797,376,816,063,310,217,627,
322,138,898,137,976,790,002,949,067,494,348,795,158,407,533,436,614,992,975,
649,415,393,944,016,882,119,584,467,537,055,388,661,996,972,656,855,567,408,
115,114,839,390,012,254,947,149,554,551,376,228,070,601,888,847,740,298,110,
156,204,250,219,002,345,656,234,557,539,364,878,053,180,449,806,818,254,587,
220,129,264,957,842,019,619,605,025,858,393,190,890,478,494,556,268,059,932,
797,513,193,767,370,673,392,443,991,470,941,973,768,563,548,714,521,043,396,
999,452,348,293,423,361,544,054,223,665,378,396,357,979,548,308,963,630,295,
608,717,905,875,395,301,364,199,173,740,321,931,480,317,632,020,177,575,414,
255,253,956,954,289,963,972,611,109,598,652,377,439,515,076,282,974,995,226,
886,730,665,963,851,206,248,869,394,852,756,066,885,015,965,389,516,832,138,
024,723,128,875,296,550,004,527,398,348,732,616,327,258,566,751,940,126,983,
789,850,756,798,518,664,631,175,410,957,585,634,190,458,333,659,459,792,309,
967,143,218,905,539,320,898,103,563,483,500,310,403,354,301,640,819,941,527,
693,647,008,215,491,411,114,456,717,140,986,828,054,228,827,993,887,836,733,
724,692,588,029,996,247,827,215,747,335,637,732,491,511,793,209,837,856,697,
180,985,664,586,751,700,471,309,246,487,596,952,385,587,127,954,616,403,400,
293,366,946,039,669,971,982,197,965,554,647,319,400,446,249,680,637,439,752,
221,328,582,042,186,644,361,522,151,373,825,659,359,966,646,845,197,737,987,
908,121,329,687,863,032,680,516,641,982,590,016,258,787,735,098,957,202,743,
223,518,695,298,562,794,588,985,735,067,770,568,981,602,764,394,121,149,883,
844,578,941,960,112,245,881,832,062,507,311,436,871,083,929,528,449,775,928,
465,015,556,199,348,839,791,037,349,781,170,779,399,867,957,537,247,995,964,
682,845,411,643,804,625,611,820,051,558,593,338,726,089,997,759,280,983,964,
412,493,793,768,636,665,748,000,554,357,700,951,931,788,502,454,880,544,372,
556,959,409,670,965,371,191,696,428,812,534,766,950,917,417,774,017,144,663,
208,511,122,545,807,528,091,590,360,422,872,116,703,144,728,456,316,106,083,
902,405,975,130,477,046,976,047,349,145,941,384,943,822,579,918,211,896,301,
529,777,794,502,184,518,811,181,377,354,291,456,302,292,946,845,324,921,600,
394,756,476,453,437,243,697,256,419,940,243,832,558,099,218,391,887,003,649,
484,799,681,932,330,805,183,476,427,854,826,832,691,585,493,686,519,356,729,
927,457,583,354,823,772,259,774,669,067,770,282,771,507,339,684,930,898,615,
989,713,434,516,319,866,629,749,104,737,459,261,492,308,237,833,275,097,333,
794,671,311,603,779,685,104,626,465,058,171,975,427,705,484,406,201,748,960,
964,882,085,670,341,180,120,077,838,723,808,456,130,592,836,694,060,982,122,
107,170,410,510,309,251,303,248,794,567,042,211,423,823,333,941,079,715,727,
689,527,157,893,026,133,438,018,207,764,229,899,665,380,421,652,058,320,204,
329,457,458,441,424,973,515,672,018,744,552,742,488,577,536,378,040,966,875,
777,178,938,547,059,906,740,980,903,304,673,691,681,396,704,832,667,404,935,
625,744,541,534,761,915,515,276,970,533,861,566,771,739,301,398,203,785,707,
490,651,044,406,194,551,640,961,924,514,982,832,019,205,045,829,589,288,014,
466,864,895,779,496,447,983,894,627,918,561,472,263,948,818,696,755,340,835,
174,307,589,697,240,656,996,831,702,003,586,040,937,579,254,735,239,364,614,
802,849,424,316,660,616,652,449,852,749,270,410,737,859,609,812,327,112,088,
694,670,248,959,333,108,014,363,812,057,655,332,147,897,421,495,430,738,887,
563,162,760,004,464,887,957,209,399,825,864,752,731,674,117,277,053,651,706,
198,259,959,662,775,408,601,965,162,794,334,653,260,570,960,595,803,743,182,
060,650,890,517,542,704,547,598,442,406,021,110,922,362,037,802,865,499,702,
766,904,992,914,357,256,059,545,315,305,088,330,190,956,986,392,714,432,727,
272,853,420,207,479,215,747,187,826,549,289,168,217,847,019,872,929,210,547,
851,311,373,820,359,810,656,541,555,183,871,565,274,238,084,555,475,801,239,
402,651,874,279,851,561,950,380,199,506,332,098,790,206,380,099,429,906,841,
161,413,976,805,386,778,155,420,594,730,197,492,201,139,299,795,638,201,602,
760,738,431,104,913,046,680,572,127,229,438,372,110,294,927,352,372,295,536,
441,467,369,856,036,364,714,859,251,944,260,560,011,427,333,870,033,018,542,
287,632,999,720,608,895,610,104,974,174,132,640,467,949,869,496,448,995,597,
078,217,207,135,618,834,270,712,079,052,711,853,318,213,541,450,003,618,770,
781,583,447,811,044,336,312,998,596,323,321,392,360,761,380,123,584,595,371,
362,116,684,059,004,799,002,037,333,926,211,449,952,254,637,460,738,799,687,
442,494,153,674,574,551,923,534,426,167,654,572,746,570,509,129,543,111,600,
785,762,121,066,550,737,623,172,009,684,549,221,087,139,369,686,934,053,666,
312,587,354,322,004,784,298,474,332,946,772,469,810,294,353,885,949,705,426,
467,119,098,847,333,010,696,556,256,595,633,108,737,811,951,544,554,009,254,
025,876,996,195,512,850,726,660,026,740,724,952,975,577,240,467,889,269,190,
686,795,174,676,964,340,861,834,902,832,332,113,684,817,706,714,871,987,224,
175,691,957,660,614,771,205,944,739,776,814,532,811,742,656,814,024,211,634,
678,918,743,351,228,386,803,040,826,507,825,620,744,566,964,165,159,095,496,
143,331,390,805,411,470,457,926,797,103,169,336,690,214,995,557,789,063,793,
471,741,668,817,038,200,405,383,464,330,461,221,998,497,403,032,699,260,188,
431,280,832,256,970,673,688,507,778,111,974,288,332,686,619,321,588,269,195,
472,501,775,910,281,814,271,356,434,911,122,387,367,629,576,753,845,710,801,
541,396,894,672,782,979,351,291,776,291,055,748,620,369,186,513,490,414,297,
690,145,835,639,554,188,036,355,827,722,738,750,514,372,861,684,867,674,617,
900,522,808,693,782,542,283,769,190,294,228,293,359,459,020,300,184,453,659,
530,094,605,083,797,958,587,777,239,905,244,224,645,698,291,094,894,342,114,
932,799,259,085,083,709,578,236,152,071,745,607,460,323,997,804,215,436,263,
297,112,306,745,073,058,045,077,975,347,535,723,331,123,114,787,032,519,252,
407,639,026,455,520,467,267,259,255,424,314,012,493,364,053,771,278,295,704,
777,395,099,808,741,803,979,660,875,214,800,464,964,697,095,795,535,586,306,
199,777,510,896,320,619,788,717,736,101,316,225,185,828,060,756,058,109,267,
133,270,581,546,062,982,988,527,377,034,952,913,524,993,083,368,432,211,554,
212,447,211,629,611,984,523,369,414,932,768,942,253,177,648,834,364,590,471,
114,599,432,184,834,019,369,480,665,711,387,452,959,101,731,941,055,770,811,
987,252,633,597,470,769,980,029,682,031,547,180,664,642,600,201,324,637,943,
654,109,994,517,953,347,369,489,769,712,863,007,683,576,827,940,767,249,786,
259,613,406,062,666,026,476,703,115,260,897,451,117,710,213,937,490,108,831,
717,127,066,954,156,829,203,523,075,591,484,679,043,447,163,246,304,471,800,
341,665,090,174,338,218,854,146,270,918,842,835,972,212,578,625,249,864,186,
682,427,751,154,836,948,421,102,447,085,940,627,140,295,550,948,674,773,558,
743,029,606,342,352,333,949,937,633,277,574,201,161,450,854,770,192,285,701,
950,543,000,094,214,422,209,824,460,885,527,563,248,496,881,526,283,349,167,
916,841,798,678,360,284,565,117,760,542,527,415,272,406,354,362,401,904,025,
246,504,554,030,253,853,173,602,491,709,626,318,723,431,679,250,986,615,567,
990,858,159,492,842,728,022,025,131,811,445,787,371,891,867,028,630,873,241,
197,493,028,441,105,642,503,268,970,228,375,844,915,173,290,393,387,858,024,
728,313,033,227,391,728,656,580,183,887,292,744,697,102,049,802,378,545,800,
588,399,893,652,517,909,979,468,905,667,996,401,068,462,963,821,499,743,347,
122,537,765,544,554,276,470,518,559,730,702,131,539,414,755,241,550,779,941,
849,034,932,242,677,411,169,844,357,861,057,449,547,491,122,200,190,214,454,
224,424,190,369,313,304,433,893,567,153,711,207,556,550,756,649,098,900,507,
096,073,248,762,832,025,310,422,728,518,979,473,188,100,198,468,351,572,082,
517,794,375,301,527,355,986,327,366,285,730,287,417,244,629,449,996,819,805,
058,397,694,007,810,529,057,198,204,673,980,182,278,922,236,709,425,749,795,
081,961,561,636,710,609,340,242,552,159,455,537,163,619,017,653,554,500,113,
876,011,490,684,110,955,540,130,662,615,387,555,263,611,553,547,941,674,581,
007,117,585,033,897,867,117,504,365,291,240,140,433,636,943,375,923,212,989,
307,982,237,868,294,509,096,485,499,519,193,437,997,985,944,599,736,271,616,
357,055,262,330,744,053,264,358,283,100,352,659,217,788,957,461,342,008,006,
239,708,160,194,233,785,903,124,631,839,122,500,811,705,064,591,561,751,490,
679,521,150,236,527,491,321,609,660,525,067,420,907,120,069,594,146,200,321,
978,094,399,009,408,196,765,484,664,873,891,159,369,184,277,243,882,455,497,
957,734,259,465,374,442,349,639,250,284,938,039,972,601,154,411,872,662,087,
154,754,687,862,502,099,714,380,929,712,910,397,531,685,022,348,497,007,855,
051,556,002,352,340,687,644,691,600,346,918,565,992,761,900,537,366,768,811,
180,135,088,473,642,492,492,471,875,322,307,110,170,767,532,162,168,484,484,
333,243,263,659,312,541,487,428,546,016,121,806,751,732,010,633,547,085,453,
602,800,506,936,091,673,619,532,725,191,412,470,772,635,903,838,395,995,517,
979,420,770,226,387,950,269,778,931,383,393,281,126,459,108,493,774,503,431,
845,609,486,115,221,662,156,172,345,674,484,774,725,570,218,571,647,687,474,
863,419,371,696,974,755,684,154,900,957,996,352,446,048,244,433,915,716,140,
387,036,179,876,924,343,989,094,044,223,019,093,603,665,368,359,820,341,623,
446,840,577,539,035,513,363,103,845,098,394,499,522,097,102,355,982,992,966,
909,780,192,620,541,545,130,734,045,335,987,231,728,776,237,869,059,554,698,
988,472,928,400,555,728,354,980,824,417,820,896,785,894,301,786,385,135,338,
758,402,657,925,930,858,077,959,321,445,215,648,289,880,059,070,544,982,134,
782,545,738,866,524,277,605,424,343,204,560,049,574,206,147,621,651,951,255,
087,909,806,488,111,113,381,197,872,145,067,383,242,885,831,468,027,338,889,
563,908,049,408,706,941,558,541,873,801,085,429,483,651,159,580,222,348,055,
885,412,977,942,967,966,182,289,373,029,911,782,895,268,278,520,315,384,690,
379,333,590,770,988,012,653,140,412,767,213,856,194,708,593,414,219,154,500,
859,239,415,898,663,332,855,258,148,760,334,078,660,616,800,118,583,426,076,
025,461,664,830,091,550,322,947,247,337,925,711,541,998,951,909,652,364,108,
108,328,628,980,510,691,013,961,823,661,229,259,179,965,562,685,624,429,107,
034,335,010,636,682,220,780,242,001,981,119,309,659,848,171,242,040,093,757,
991,636,861,806,551,041,782,209,070,356,467,244,586,479,334,156,169,992,049,
174,348,893,208,533,274,789,086,923,909,056,811,866,040,973,116,382,474,315,
694,015,031,365,350,313,442,023,711,131,430,010,297,850,905,339,992,085,475,
377,770,390,247,342,692,005,580,310,550,536,375,809,999,305,910,423,462,798,
046,757,235,257,624,019,239,129,028,823,647,062,900,606,370,661,599,771,399,
413,408,491,706,093,139,177,025,267,653,037,168,981,521,861,831,779,889,184,
463,406,427,160,822,085,701,978,686,564,936,300,882,019,336,792,764,892,272,
788,134,009,859,179,959,027,098,692,388,774,965,202,417,612,310,388,923,012,
744,920,926,987,171,156,673,100,377,356,954,601,570,387,206,197,139,082,541,
972,002,507,509,651,988,028,471,630,995,642,930,809,572,024,962,898,800,415,
322,287,069,441,815,351,959,841,670,023,887,481,227,976,266,939,558,226,231,
642,784,732,236,149,825,210,465,562,670,447,289,456,625,966,141,616,891,898,
351,800,271,840,311,892,555,126,417,861,881,113,168,764,246,896,749,160,850,
979,362,021,088,140,632,366,893,176,151,361,149,818,151,671,653,817,095,803,
256,770,651,011,684,322,332,819,005,238,089,182,061,030,810,068,824,198,939,
987,525,042,712,566,640,011,351,452,058,171,160,606,638,935,335,046,554,364,
161,013,067,480,657,345,521,088,978,486,279,588,151,253,438,461,792,442,664,
577,657,697,964,564,617,441,945,881,729,726,474,751,062,706,023,446,135,350,
103,767,890,770,134,683,010,169,386,950,945,192,337,176,943,699,889,326,405,
679,501,963,187,732,850,331,271,422,909,447,718,949,295,216,980,147,185,195,
358,595,747,109,012,416,535,277,999,947,100,646,119,593,353,805,114,579,065,
979,719,430,855,905,344,402,169,655,494,505,637,212,931,051,068,586,555,050,
165,280,996,161,884,258,798,609,355,558,207,358,916,869,442,081,399,362,245,
433,849,376,497,648,884,629,604,332,027,590,810,138,883,109,780,622,773,496,
012,702,311,877,508,497,896,347,387,955,105,782,298,436,416,746,607,421,724,
286,713,802,576,119,176,751,985,007,157,957,384,068,483,444,122,455,077,232,
508,546,194,861,006,869,087,846,940,409,142,269,397,436,760,493,199,415,806,
321,549,159,572,871,818,990,814,909,906,018,523,742,736,774,010,997,438,097,
054,998,924,394,741,149,242,264,327,738,969,742,126,914,360,936,794,304,279,
481,943,163,157,496,964,852,141,239,567,388,167,911,889,307,882,355,905,293,
796,265,509,052,626,091,818,929,050,382,978,985,246,021,732,080,799,620,903,
424,776,738,659,904,378,723,482,811,083,766,277,214,073,129,761,897,854,597,
008,408,689,641,498,658,856,400,297,333,160,476,559,334,008,717,960,468,066,
720,369,128,381,350,926,126,148,149,594,256,161,879,617,359,352,488,274,247,
262,291,444,201,386,640,687,463,050,483,434,228,880,132,311,667,253,346,000,
660,767,103,403,709,690,853,715,666,613,432,652,039,939,357,721,941,424,545,
021,517,333,895,219,447,318,093,075,684,110,338,204,670,257,628,558,221,595,
029,368,327,594,137,240,817,422,029,173,220,439,206,928,333,705,253,965,856,
853,255,072,980,558,981,516,793,126,571,310,772,236,516,887,241,633,606,879,
351,846,693,244,826,561,292,086,502,887,655,364,594,167,926,391,456,577,717,
855,517,636,725,615,197,504,055,005,808,738,791,054,847,704,271,484,935,045,
116,326,279,179,430,318,444,789,838,653,122,857,893,887,278,599,333,520,217,
649,384,934,589,317,042,714,290,690,967,981,511,300,912,315,173,367,567,135,
869,209,282,156,581,448,718,280,634,149,977,021,372,674,695,393,035,630,766,
872,712,880,276,803,088,322,053,007,602,054,985,013,433,869,884,606,965,941,
217,316,245,052,745,582,387,043,856,594,048,289,740,677,396,469,099,187,908,
330,642,253,797,599,704,080,317,252,562,031,717,324,165,813,222,710,172,094,
734,059,438,441,806,443,482,799,125,692,263,342,420,488,393,483,861,986,854,
032,608,333,316,189,004,169,534,195,522,583,336,462,150,467,322,533,223,263,
334,477,768,325,694,536,244,193,356,361,172,402,002,137,004,080,321,975,819,
203,145,049,432,376,048,436,356,463,482,080,264,697,646,104,334,159,918,217,
826,963,761,834,117,821,162,327,367,800,526,789,857,306,620,778,903,992,653,
279,213,503,967,806,041,151,282,017,625,185,091,048,807,291,527,662,181,203,
145,413,292,492,899,613,466,146,900,801,015,906,375,938,840,247,126,116,753,
597,269,461,647,041,790,918,479,275,712,626,381,141,120,259,956,528,213,475,
100,690,609,013,431,731,686,680,167,925,429,369,332,433,561,097,874,912,779,
530,167,229,128,295,985,363,901,462,237,963,099,342,509,178,340,872,326,938,
183,381,598,491,773,733,155,568,841,826,465,092,351,436,795,354,755,170,735,
784,541,975,178,289,120,229,524,172,840,805,482,943,906,770,484,710,371,273,
834,006,259,710,848,791,402,305,765,433,849,078,029,922,827,258,685,383,218,
425,396,852,863,094,354,740,124,947,970,296,526,199,587,881,536,839,317,149,
916,861,914,114,745,528,292,009,690,245,842,477,326,899,908,062,721,627,784,
745,593,619,385,646,221,180,854,704,765,431,484,862,750,059,699,061,640,491,
574,038,125,465,906,926,560,492,743,447,971,241,315,012,648,507,180,275,247,
562,480,592,672,525,280,984,645,155,383,026,064,643,678,965,212,456,057,633,
470,674,434,827,547,051,220,450,530,594,971,684,177,710,910,082,196,501,581,
420,289,368,971,940,099,221,511,348,511,703,842,742,647,947,991,957,570,559,
530,492,084,919,140,621,063,480,061,698,771,785,699,496,827,920,838,000,578,
158,153,168,348,700,324,207,832,654,491,062,081,227,114,250,369,571,924,275,
531,252,585,838,128,512,428,694,204,561,434,128,633,140,756,276,453,495,777,
128,996,269,950,693,602,835,917,805,559,105,395,136,780,264,650,240,347,693,
024,812,250,970,838,218,464,411,667,489,958,922,957,903,009,205,032,351,475,
104,997,687,312,809,408,341,600,569,274,541,003,906,772,003,549,235,102,084,
421,327,409,405,716,598,234,181,033,664,168,004,683,627,233,812,522,532,942,
333,926,251,024,575,838,018,291,688,631,756,900,027,413,498,318,580,253,991,
960,510,355,075,019,651,156,600,421,364,694,258,757,598,001,506,492,478,650,
012,149,143,104,992,506,340,783,371,870,093,513,246,173,153,345,956,677,180,
732,631,815,754,220,396,071,880,152,343,597,072,993,922,320,583,015,755,012,
774,791,952,226,591,820,508,272,171,782,382,779,024,030,458,987,538,865,381,
098,965,241,630,084,113,830,056,238,010,030,445,796,617,621,946,284,846,712,
845,107,789,419,516,052,166,540,251,235,865,022,288,461,301,369,430,326,601,
488,359,432,052,612,430,268,455,574,673,394,686,281,034,642,708,354,430,684,
821,812,720,234,032,961,671,602,355,192,338,500,405,409,631,823,717,179,566,
253,406,709,099,146,303,204,709,373,789,747,723,456,552,930,262,073,164,121,
582,563,226,157,652,405,787,736,446,216,870,354,663,762,835,923,812,845,957,
078,657,830,556,375,569,999,902,162,473,369,539,603,342,090,462,416,516,984,
839,531,925,788,109,354,593,951,978,718,595,815,470,654,689,489,058,065,199,
150,426,363,633,155,205,370,156,448,538,782,895,263,336,884,399,268,227,465,
398,201,249,204,846,185,089,595,889,854,938,035,079,715,122,944,462,777,887,
780,881,791,310,219,254,985,048,479,029,361,388,290,913,406,760,132,553,472,
867,922,433,477,507,699,106,094,367,434,820,481,312,361,767,300,436,272,711,
597,607,858,098,150,237,071,198,681,927,166,238,171,042,943,424,814,309,382,
505,275,603,363,009,460,780,892,434,976,783,974,823,794,712,637,258,303,003,
368,144,347,483,950,486,791,315,883,727,803,110,090,434,284,619,769,773,963,
673,078,415,451,056,492,019,165,416,751,619,409,447,283,852,259,542,148,230,
822,086,815,357,004,802,058,697,377,865,949,750,019,131,106,540,109,061,769,
221,367,977,615,737,878,353,939,002,801,780,194,758,957,739,831,966,073,457,
385,726,132,370,893,135,788,530,605,333,986,789,462,279,762,986,678,609,155,
423,468,741,311,806,668,348,862,596,574,044,318,417,468,233,371,988,137,200,
232,061,387,786,556,143,854,203,120,792,987,272,547,890,080,730,574,234,308,
144,215,807,563,350,385,916,265,795,054,406,725,609,509,235,251,133,653,204,
058,334,267,841,156,376,384,071,723,056,063,169,896,752,294,757,359,272,439,
711,240,910,381,259,581,714,133,641,940,892,465,087,083,673,900,537,548,667,
875,676,677,478,126,595,592,506,671,495,120,365,513,298,968,988,440,749,067,
948,398,913,575,404,305,824,117,351,855,241,285,833,068,172,359,933,952,127,
376,315,990,514,226,295,146,671,496,012,554,485,252,345,737,298,967,091,687,
349,430,346,353,367,570,451,334,734,694,301,737,417,716,945,180,803,214,175,
044,244,603,536,162,536,508,173,481,477,782,193,003,057,308,801,377,568,297,
825,559,751,630,729,276,397,455,110,876,393,110,565,905,901,323,060,510,041,
582,356,619,851,753,220,365,894,759,137,930,145,856,373,927,403,782,428,444,
256,372,189,854,860,813,145,471,364,988,457,056,899,453,447,666,196,304,476,
791,566,300,148,113,455,112,991,053,961,466,611,642,863,615,036,633,823,719,
831,373,221,652,629,042,474,973,395,846,226,152,491,234,454,546,665,110,952,
720,598,232,632,069,859,376,360,922,443,404,591,300,549,282,317,167,114,007,
919,840,128,896,876,941,661,936,829,685,763,953,642,012,434,397,046,000,807,
563,321,783,609,184,453,610,866,913,055,351,053,082,581,321,172,439,014,297,
238,014,803,553,176,373,363,703,202,228,893,524,696,154,580,157,642,046,821,
016,911,655,517,063,984,858,772,555,955,751,466,192,193,986,346,808,510,806,
915,139,533,711,788,887,839,318,193,368,786,642,977,860,236,697,211,787,096,
513,696,037,583,916,191,311,048,964,372,020,359,434,437,887,385,491,556,395,
679,299,873,743,949,570,807,408,262,997,864,129,836,547,538,917,462,673,470,
917,696,500,624,006,362,960,171,723,481,272,748,607,450,052,554,893,900,092,
649,992,454,612,896,775,760,349,571,228,907,275,156,692,194,859,590,788,376,
817,745,789,692,540,014,640,021,191,115,561,718,406,227,482,974,419,594,220,
888,744,752,749,483,531,775,588,756,724,909,005,192,857,815,810,642,162,688,
055,997,573,542,820,919,721,427,145,249,761,386,471,373,163,073,609,998,747,
089,447,033,420,053,406,756,537,510,365,420,482,868,996,276,311,379,633,326,
167,591,538,743,035,889,101,356,088,296,117,049,738,824,894,176,894,826,292,
424,682,726,643,651,272,177,565,495,288,320,104,590,291,515,237,585,533,982,
626,057,736,483,070,039,345,523,352,251,675,021,877,399,453,025,994,621,821,
287,599,610,922,481,913,483,199,702,474,764,959,527,221,838,793,347,987,794,
152,091,126,809,851,808,775,604,144,744,539,804,697,241,339,613,530,192,834,
198,931,672,078,881,100,856,755,479,698,332,773,995,143,685,273,530,862,615,
721,179,171,960,274,455,811,882,479,725,016,171,787,583,211,721,939,357,405,
166,876,221,374,969,910,872,180,735,316,094,772,493,377,803,385,782,295,613,
125,166,918,656,510,388,471,024,240,655,625,502,772,071,448,228,844,700,276,
367,873,011,769,349,411,213,304,987,720,253,864,974,392,697,388,007,119,842,
711,152,332,694,727,091,122,081,776,565,969,848,779,603,273,728,534,228,915,
084,883,726,936,052,311,214,036,861,516,338,896,403,661,269,495,006,105,960,
313,242,124,763,512,528,803,808,459,253,928,834,022,964,317,167,707,556,889,
832,796,581,894,025,938,669,209,892,932,723,476,274,514,675,172,379,781,096,
611,527,623,696,075,790,459,457,172,618,948,647,828,836,348,145,757,116,639,
729,184,330,292,789,233,230,751,833,693,761,916,319,552,142,794,692,808,903,
928,267,586,909,976,957,988,100,897,878,400,848,201,991,896,843,223,471,095,
854,898,297,740,745,723,450,559,771,982,169,814,894,570,377,209,297,377,777,
759,283,361,256,605,599,552,963,602,213,683,292,250,902,271,494,463,040,770,
097,399,206,747,472,759,447,145,103,897,443,097,276,604,592,736,687,764,475,
120,528,439,800,314,002,618,392,032,560,963,672,575,548,887,338,061,154,434,
380,916,813,419,325,709,498,545,276,480,975,959,700,243,109,435,916,145,304,
485,102,237,204,847,214,600,963,238,560,648,724,065,410,296,892,254,098,351,
548,278,184,255,314,241,839,471,268,557,019,648,686,633,999,039,844,999,404,
487,206,991,157,155,586,433,356,005,508,623,482,357,901,987,831,156,025,472,
824,991,298,057,503,922,568,750,461,090,596,619,649,972,751,397,903,607,192,
491,556,080,680,611,525,540,209,133,324,892,749,051,812,288,927,137,993,723,
895,305,668,937,923,868,140,332,363,434,773,481,594,128,210,345,608,189,337,
974,476,269,124,794,379,236,960,777,142,050,255,900,242,653,300,454,380,549,
982,957,993,038,449,790,577,296,647,277,976,019,907,592,449,483,440,270,633,
790,458,985,817,830,747,938,386,708,718,378,086,841,833,904,973,653,374,765,
384,317,669,479,173,614,110,555,044,575,030,716,933,358,213,197,051,996,842,
290,371,044,385,430,940,734,433,937,264,733,354,868,684,886,383,375,914,546,
396,620,873,069,958,347,099,702,139,155,911,498,454,921,107,055,285,465,893,
374,652,953,831,616,167,689,908,305,597,346,143,281,086,313,933,933,610,493,
198,809,542,468,600,304,322,206,142,167,866,585,168,252,216,113,448,653,516,
139,396,659,345,285,547,611,436,799,360,639,781,847,363,777,071,479,557,686,
005,535,409,731,386,709,971,444,364,974,240,358,487,221,628,161,574,313,809,
019,170,601,206,926,018,307,402,394,465,407,055,138,279,919,735,988,652,158,
993,407,116,364,138,281,888,089,811,318,262,671,556,334,268,762,652,111,227,
600,995,017,608,839,131,859,804,668,622,444,726,692,892,575,099,330,241,698,
102,928,115,370,263,958,157,531,742,797,357,739,036,082,879,871,157,030,961,
177,699,347,117,458,761,603,828,799,812,544,977,046,443,589,803,415,071,097,
594,673,986,297,871,032,390,655,047,817,597,797,708,611,352,006,983,732,273,
097,276,998,941,596,882,558,857,699,508,806,635,169,728,338,270,271,237,483,
391,373,120,722,836,286,754,864,218,442,286,872,970,456,403,841,860,080,754,
184,828,911,520,361,765,993,697,458,364,456,878,461,625,806,072,892,262,588,
830,689,276,230,260,892,855,079,705,300,025,879,933,149,378,206,098,706,329,
802,403,564,505,247,346,944,102,749,007,475,593,590,045,863,780,864,319,031,
392,309,643,452,627,549,735,551,114,296,382,676,623,914,828,347,212,516,352,
700,783,118,532,526,758,016,579,310,885,966,967,684,627,750,605,438,031,118,
645,514,582,202,348,680,787,070,749,724,496,260,397,799,987,705,474,845,607,
187,702,409,655,017,187,928,272,712,258,128,635,746,704,180,926,317,725,351,
276,262,843,424,184,231,809,008,234,799,307,909,182,758,800,717,446,816,703,
007,619,846,954,246,604,750,320,533,113,518,015,116,649,539,549,681,290,974,
300,313,751,115,198,307,666,446,786,892,810,742,729,927,731,462,247,490,942,
615,527,168,397,408,610,766,229,734,459,408,453,158,600,160,920,159,703,859,
512,812,020,568,708,011,963,134,261,688,478,175,480,590,037,116,515,154,364,
686,269,204,291,854,624,346,485,813,190,197,980,677,988,138,626,513,902,307,
704,871,805,437,241,343,999,167,536,245,190,065,828,603,421,209,894,914,337,
157,265,975,827,019,347,891,710,412,977,293,190,945,583,704,877,974,193,055,
388,455,230,351,456,669,994,498,136,355,672,774,160,606,187,103,672,726,751,
563,215,726,883,355,425,036,818,333,801,512,303,235,904,429,187,355,431,974,
395,946,296,423,982,269,478,007,488,643,569,199,486,374,574,319,024,980,923,
960,271,888,722,240,362,068,958,167,372,082,975,242,984,957,076,669,014,402,
926,683,592,476,626,761,118,197,834,910,496,213,794,565,675,701,629,359,343,
732,795,508,492,739,695,895,338,370,945,261,896,613,204,567,672,296,120,370,
626,890,557,174,506,891,131,644,875,839,489,533,091,746,264,072,370,625,808,
824,707,229,559,629,059,369,476,770,114,399,550,828,455,219,028,671,052,188,
877,699,711,214,051,651,342,065,236,553,602,407,507,044,170,044,141,143,362,
344,209,703,142,777,381,917,697,248,920,069,523,492,581,123,837,153,860,063,
572,452,328,696,734,944,602,316,496,544,268,327,579,247,627,212,361,600,805,
064,652,232,642,228,372,616,381,107,050,512,714,299,576,691,674,209,688,112,
266,862,194,716,978,698,473,946,967,500,235,795,461,701,421,232,140,038,379,
171,674,459,404,904,192,151,818,095,254,912,575,498,814,698,704,086,400,970,
266,709,121,106,813,754,257,997,415,895,936,998,687,813,303,350,906,453,665,
730,871,665,306,989,469,783,144,190,831,223,764,097,405,527,558,937,618,477,
676,663,815,266,823,155,847,105,060,474,628,244,257,398,255,687,794,845,781,
308,731,875,404,916,625,904,811,829,749,471,638,049,051,498,869,713,465,801,
426,421,647,272,982,862,422,465,985,557,300,655,273,095,543,558,984,489,773,
686,447,263,968,782,122,231,756,924,391,320,696,488,949,156,208,259,993,339,
497,170,932,622,893,275,562,222,630,345,082,043,357,531,315,437,263,761,314,
358,491,982,000,442,357,244,495,654,738,275,741,932,861,801,185,597,342,454,
205,779,617,350,535,938,303,221,156,114,948,401,822,920,335,067,786,880,590,
803,660,778,403,856,079,495,102,009,752,363,285,560,401,372,554,055,353,728,
960,099,523,328,708,218,887,988,511,178,668,403,566,084,792,286,043,411,599,
354,187,626,454,017,179,897,465,055,358,634,441,890,341,628,181,718,540,449,
994,104,886,051,533,828,798,510,263,018,294,702,267,315,367,079,350,975,317,
041,755,812,753,707,753,092,521,246,225,350,783,336,874,427,194,457,463,548,
958,627,811,573,205,024,556,531,171,707,479,507,823,007,172,028,359,830,022,
948,081,375,101,156,548,910,801,480,272,632,823,908,553,971,213,789,197,628,
429,503,981,158,336,965,722,947,306,391,709,861,721,495,845,542,375,628,718,
993,574,067,421,839,489,230,713,359,927,309,940,204,912,445,475,645,820,028,
683,479,066,222,566,647,517,321,389,033,818,003,246,023,941,760,477,314,543,
160,866,163,423,816,578,303,748,825,018,070,365,611,987,867,133,066,610,871,
953,846,875,357,725,640,694,325,548,026,298,671,473,652,646,478,669,726,142,
280,560,021,451,609,910,984,235,005,718,257,505,914,910,592,030,824,138,200,
627,276,419,711,407,039,194,974,733,421,252,813,256,590,975,023,139,994,066,
470,494,976,654,611,837,008,725,615,896,149,023,117,097,406,640,469,767,380,
680,048,000,769,242,678,618,119,367,712,336,883,510,666,090,677,690,706,683,
840,098,400,635,582,923,174,552,330,828,067,318,492,945,621,050,805,071,385,
771,187,825,912,752,012,349,737,446,343,246,459,196,551,024,823,765,466,498,
884,317,405,542,813,382,651,498,933,396,478,388,335,215,200,479,211,251,368,
262,022,080,488,931,376,742,234,059,536,623,216,072,021,349,757,638,611,750,
056,953,573,614,325,679,877,231,701,951,285,901,402,985,899,931,259,968,287,
104,908,677,801,921,514,855,244,064,910,311,566,305,345,137,116,559,328,725,
968,594,793,095,594,993,544,269,765,350,670,095,890,463,381,352,336,503,076,
319,752,406,543,292,805,184,396,943,635,360,148,490,524,163,007,192,795,122,
160,690,422,130,953,328,493,459,397,507,396,145,222,492,659,346,189,935,592,
483,774,801,621,632,984,952,161,258,200,881,022,562,796,565,533,533,822,925,
285,282,943,288,008,861,396,511,574,036,025,011,272,285,694,244,567,689,442,
403,968,893,817,195,852,036,250,996,603,584,085,938,982,581,111,589,024,236,
014,555,397,011,982,177,484,966,299,655,345,623,253,002,993,868,682,092,696,
220,008,273,219,691,819,690,426,515,077,776,207,861,738,534,860,616,356,220,
523,236,438,528,721,899,881,591,076,448,869,016,823,011,057,249,461,711,757,
830,704,224,138,077,682,057,574,664,516,320,877,531,425,513,954,917,482,348,
881,249,788,755,847,162,802,765,289,458,268,642,556,571,126,862,712,992,452,
782,322,081,486,027,537,475,083,267,945,725,174,987,803,122,152,334,126,051,
204,067,830,983,160,525,824,579,779,959,049,517,434,835,257,192,150,885,142,
020,122,529,916,191,771,129,873,667,031,067,772,926,524,921,353,158,926,235,
772,071,974,137,037,776,191,999,234,484,475,288,803,924,542,362,091,365,920,
686,344,826,589,566,659,470,845,654,498,966,724,880,887,465,795,681,426,154,
203,812,723,533,505,019,925,601,729,558,544,300,040,460,928,718,162,873,706,
517,884,010,250,522,799,082,989,187,204,868,544,359,600,794,622,875,607,172,
011,530,852,186,710,227,268,234,962,310,307,069,267,805,421,200,339,925,079,
536,883,936,412,424,309,458,406,697,150,182,399,374,501,743,745,932,908,064,
246,899,757,342,930,336,506,406,798,879,319,029,701,641,481,994,885,335,225,
435,162,915,336,688,013,647,649,153,291,572,296,652,385,417,460,746,909,121,
557,965,078,328,984,775,809,624,343,421,249,040,549,983,660,521,274,892,152,
179,589,681,814,009,838,816,968,878,163,483,425,499,613,509,862,060,442,046,
691,188,964,051,447,073,275,440,036,480,902,428,546,489,715,056,894,116,146,
184,611,503,167,180,631,156,658,688,432,984,833,322,806,034,858,720,312,428,
005,030,785,301,354,791,480,000,776,023,065,520,778,571,656,555,104,827,872,
792,422,750,682,447,658,207,421,134,846,235,084,530,912,637,368,784,441,721,
700,944,055,576,167,605,486,011,326,110,942,179,356,760,237,800,628,802,099,
988,375,329,449,337,536,497,908,494,256,554,823,925,646,369,573,235,686,254,
922,517,813,575,790,332,892,880,382,717,861,588,899,646,981,077,874,333,598,
832,903,138,620,216,884,380,474,524,853,903,762,585,340,621,426,079,941,137,
548,697,093,100,065,621,386,005,552,308,107,646,581,817,471,093,091,532,961,
042,045,999,907,792,718,000,274,034,566,371,567,937,346,770,021,110,646,525,
040,150,362,076,260,882,661,204,171,149,788,431,702,015,295,224,658,914,568,
452,831,389,460,023,826,238,367,424,145,496,792,535,127,693,788,809,819,195,
213,319,338,200,514,481,460,147,027,281,709,202,781,111,425,440,232,688,828,
708,280,154,110,652,661,391,905,953,953,406,420,493,880,738,383,619,950,005,
722,563,455,882,682,664,632,826,454,120,515,665,104,932,507,179,899,735,955,
359,779,891,868,929,294,936,179,499,580,372,331,174,683,949,069,860,507,977,
806,392,730,471,011,202,738,096,753,502,325,879,552,790,712,991,647,130,066,
160,486,113,172,819,601,686,351,485,679,751,932,452,036,999,356,928,476,751,
328,536,774,866,099,785,860,938,913,886,471,416,863,765,317,624,691,479,051,
496,248,193,283,905,660,756,774,078,044,394,522,371,781,453,987,099,620,493,
626,889,446,975,127,140,288,013,045,983,633,290,173,531,493,778,518,707,827,
813,293,113,446,555,888,719,649,483,144,584,276,887,394,720,418,572,202,639,
917,066,621,496,764,217,588,556,243,915,524,743,069,841,539,868,103,653,673,
751,820,569,764,867,566,888,655,061,643,521,149,578,277,674,617,970,126,461,
913,703,888,992,322,384,597,847,523,972,092,407,859,228,862,451,904,835,253,
715,132,314,789,265,497,858,928,310,384,805,642,834,039,109,430,252,277,916,
274,139,128,893,907,777,244,641,571,229,349,578,889,500,210,258,127,846,816,
499,465,743,108,542,974,164,446,914,708,290,516,683,254,716,160,457,913,330,
824,838,436,853,479,889,976,943,331,869,149,746,200,415,490,555,271,576,092,
463,731,654,930,607,960,051,145,859,192,281,126,090,930,647,594,239,521,503,
587,488,892,358,325,524,649,631,258,863,640,526,000,291,129,249,109,414,571,
909,026,183,632,067,921,383,979,914,485,108,601,055,030,530,245,864,232,143,
921,543,037,300,493,246,347,766,952,719,598,554,423,279,416,833,485,902,991,
236,965,259,216,980,649,735,110,155,211,393,321,206,150,399,807,933,691,069,
287,746,643,298,539,289,980,168,174,780,061,810,273,364,898,376,876,747,260,
611,650,447,999,814,103,433,045,300,277,429,909,487,954,008,335,454,398,838,
457,793,986,568,194,950,119,816,421,483,411,290,251,556,544,868,126,520,561,
850,444,634,936,128,100,723,939,783,752,144,266,478,538,018,106,107,554,846,
116,500,220,206,265,031,431,064,030,088,447,693,750,523,764,750,352,914,726,
022,030,171,545,730,002,076,535,417,315,634,854,291,093,987,937,248,453,722,
729,589,012,271,511,606,606,976,844,818,993,258,159,396,345,150,754,302,204,
903,873,675,492,941,460,238,990,651,610,690,208,686,924,457,268,694,975,059,
027,176,838,672,963,650,633,556,609,424,801,721,806,283,142,558,736,184,675,
635,705,400,075,890,979,293,063,824,994,049,447,354,923,140,788,575,782,959,
512,864,672,835,746,195,820,282,675,613,523,120,723,331,528,023,726,769,888,
018,299,089,373,726,071,948,423,978,780,846,046,355,216,386,485,228,869,540,
810,279,878,122,173,239,255,997,451,067,701,092,142,322,441,319,344,040,727,
868,614,988,838,652,189,092,233,710,002,688,769,364,625,506,415,426,410,556,
818,563,486,172,069,823,692,027,627,229,273,869,198,510,039,708,130,310,824,
892,565,898,288,968,342,401,897,040,197,667,637,953,702,388,741,221,069,587,
188,601,331,820,793,339,607,278,674,064,039,885,514,915,834,259,473,326,928,
179,913,102,397,327,207,721,713,951,892,470,761,029,376,169,948,091,301,053,
565,104,264,255,540,087,983,772,864,144,770,601,533,037,656,331,928,196,017,
763,632,392,586,534,142,938,646,448,139,096,426,373,397,158,570,064,268,543,
869,542,498,413,137,778,068,254,444,163,845,177,754,966,717,348,612,710,611,
582,660,725,549,100,651,026,622,035,091,172,165,899,569,067,631,231,801,663,
839,997,211,990,685,341,592,675,838,638,777,637,416,924,987,817,792,557,462,
107,688,402,530,551,167,598,029,193,202,045,991,644,377,552,266,630,345,968,
439,646,741,444,854,033,799,271,023,133,378,367,644,808,199,037,575,910,981,
344,519,266,886,761,567,545,397,986,427,029,354,743,926,691,485,562,883,389,
856,062,718,355,281,819,110,815,762,981,847,244,585,616,729,078,110,908,197,
742,644,303,979,224,407,007,807,007,645,094,780,803,249,408,768,969,785,976,
811,633,184,955,492,525,227,949,204,501,351,321,987,541,753,893,852,610,739,
858,471,902,524,902,767,303,405,893,703,571,224,174,066,127,735,090,847,140,
760,239,105,082,620,463,030,419,461,079,469,387,759,901,766,803,839,398,318,
786,678,390,103,932,019,164,180,030,293,068,916,702,743,242,080,750,925,042,
851,404,170,244,637,569,692,465,949,561,300,609,483,252,282,860,491,683,826,
198,196,000,521,986,197,265,091,044,316,853,482,497,084,264,265,128,248,002,
990,077,133,229,317,386,669,815,339,830,420,658,797,066,213,993,575,004,107,
735,578,722,126,144,061,464,087,188,553,407,429,039,614,828,197,347,262,585,
419,662,952,639,502,377,236,305,524,191,064,274,438,574,550,227,947,968,892,
606,644,618,615,322,414,605,450,630,752,100,850,303,029,408,972,216,811,775,
838,972,330,231,723,440,745,340,249,196,444,534,618,129,090,875,066,770,993,
380,406,806,731,827,499,293,599,574,624,559,214,749,811,270,150,549,224,162,
721,983,695,078,569,472,666,950,684,754,014,820,331,471,789,620,827,113,586,
736,691,164,993,929,492,878,843,262,651,693,090,135,570,736,894,044,882,517,
477,165,914,434,776,116,628,302,206,519,444,487,508,249,038,639,163,571,816,
772,411,409,603,125,629,222,849,095,317,569,670,585,214,389,999,362,186,783,
400,802,308,728,586,875,526,114,197,091,852,697,457,956,390,655,552,071,214,
681,854,215,807,785,236,307,815,134,767,912,245,326,605,006,252,277,485,984,
749,438,360,906,093,287,449,628,863,789,707,612,509,223,613,271,606,337,201,
241,501,246,037,661,377,438,161,555,811,722,463,552,233,607,852,777,522,887,
810,169,374,142,980,126,973,906,072,473,729,636,992,508,507,276,646,849,535,
495,492,837,367,335,432,098,465,465,437,850,415,029,560,671,832,467,234,898,
388,150,167,582,350,278,777,470,474,865,742,212,413,740,173,023,160,253,414,
098,342,399,683,078,899,597,635,591,450,948,943,776,678,659,328,107,617,290,
787,959,776,142,328,614,320,513,897,657,655,311,188,570,681,639,500,278,930,
329,714,619,533,250,170,474,298,885,495,551,243,422,663,729,813,952,099,497,
904,633,325,144,901,673,207,530,229,638,350,714,668,035,443,007,071,568,792,
961,057,251,446,867,833,714,943,894,453,684,433,196,109,893,518,699,279,114,
367,622,440,022,672,381,854,988,820,139,948,431,091,841,096,361,530,724,633,
573,190,688,976,826,411,452,997,337,989,430,359,169,533,433,956,773,669,694,
072,106,495,838,723,831,787,282,898,735,262,988,514,613,140,693,873,903,833,
408,170,591,832,475,140,876,628,865,281,866,142,043,818,912,312,933,862,928,
188,026,981,661,952,338,047,138,298,523,069,225,778,676,563,652,074,982,109,
058,311,115,997,219,350,028,648,216,526,387,442,702,155,953,398,839,170,000,
889,413,173,083,106,167,048,855,272,713,485,895,535,985,262,020,523,195,029,
096,306,872,101,707,407,783,201,312,422,639,890,354,237,281,269,067,938,083,
831,659,429,044,150,886,423,076,656,739,594,842,891,797,001,124,507,055,277,
925,523,418,799,532,783,563,743,994,974,654,689,753,545,907,930,125,861,488,
800,997,090,162,936,855,831,508,448,827,116,710,596,906,129,924,212,619,717,
164,420,114,385,584,309,234,703,022,246,416,576,483,108,327,594,160,038,849,
872,153,224,131,800,420,462,274,231,145,103,372,374,716,548,739,432,995,831,
042,177,695,690,301,457,289,148,065,759,208,219,271,031,464,282,019,756,004,
580,133,516,630,238,430,607,623,473,183,581,275,945,448,681,677,835,803,372,
614,695,654,957,956,338,846,960,948,777,354,002,577,118,410,040,044,711,710,
742,679,865,639,958,485,388,738,403,037,778,540,661,572,556,712,350,306,903,
263,208,044,477,165,903,104,267,187,994,891,622,657,892,391,963,573,142,679,
294,360,492,345,854,627,263,355,382,204,006,137,732,300,479,625,806,911,116,
866,449,498,103,022,600,705,836,680,599,597,853,342,021,037,435,604,917,074,
502,826,759,144,272,883,191,766,298,673,197,634,332,715,827,125,043,337,234,
069,545,985,113,997,241,706,958,152,561,627,739,647,166,916,695,251,960,350,
345,255,496,940,989,912,631,435,332,675,382,893,978,762,504,912,182,329,895,
512,047,056,309,571,945,672,137,796,001,502,674,151,306,226,619,791,732,868,
147,659,668,089,617,819,304,707,023,289,489,754,324,534,271,152,815,649,013,
848,104,147,384,559,035,158,164,537,507,338,469,910,774,057,343,510,478,138,
066,622,996,399,309,065,597,506,276,116,254,727,382,922,516,866,846,794,893,
895,332,127,880,164,070,267,887,152,393,981,179,588,369,156,556,113,532,542,
690,517,262,125,433,294,801,644,840,877,397,533,751,708,280,784,958,345,683,
968,989,671,714,891,914,265,744,827,634,807,150,037,732,196,539,226,422,329,
816,708,614,711,511,738,263,591,859,997,785,869,155,771,760,821,779,352,550,
174,276,160,125,484,559,319,405,706,352,303,946,107,678,996,441,993,169,272,
144,856,372,515,675,633,432,092,600,698,437,336,528,687,072,153,124,174,513,
112,976,581,369,497,877,026,026,843,731,514,686,650,666,278,871,967,851,910,
082,333,043,226,649,219,275,904,156,786,292,086,355,122,081,638,380,547,310,
082,591,517,871,087,128,808,740,189,799,912,357,424,098,991,506,081,244,836,
278,222,655,856,815,666,605,177,850,189,419,647,841,410,636,025,732,896,878,
833,732,898,340,465,441,775,937,525,256,994,426,586,419,988,097,267,806,325,
363,005,742,499,268,055,003,575,657,285,202,507,439,487,612,803,345,103,919,
951,105,718,213,281,482,792,289,225,110,235,247,124,102,881,579,526,119,884,
240,920,524,341,739,197,557,906,953,945,985,779,226,241,687,684,621,629,744,
754,023,720,633,895,519,409,967,695,743,809,869,581,295,122,149,178,752,113,
841,192,283,765,193,182,720,945,605,963,847,165,925,217,724,273,828,634,722,
451,614,361,631,058,600,434,313,134,665,438,202,905,338,516,044,807,996,638,
058,368,222,872,612,863,038,497,796,642,414,139,629,555,889,317,884,949,370,
587,258,032,488,199,659,736,434,060,503,588,721,236,256,052,313,471,340,786,
501,750,924,708,524,571,956,021,198,157,795,521,836,390,651,664,904,091,487,
289,443,474,481,066,708,401,409,831,610,932,909,481,639,243,972,538,606,270,
353,384,704,980,057,041,976,591,942,126,571,489,497,703,664,131,768,896,753,
136,278,320,001,269,204,314,765,093,731,955,967,496,600,113,156,504,975,346,
047,248,103,541,835,069,192,872,878,549,319,202,489,708,202,238,517,573,417,
704,482,533,705,703,414,266,592,939,580,123,275,534,392,052,374,359,517,371,
605,391,271,273,263,871,275,623,378,177,704,552,872,480,278,689,682,852,166,
158,920,822,755,182,479,007,953,582,349,003,667,990,068,384,820,898,955,190,
270,062,288,195,152,429,958,799,264,429,063,070,226,316,909,219,725,289,099,
824,019,014,240,983,250,497,641,202,818,176,327,814,655,127,904,424,495,473,
431,381,544,017,887,595,830,849,421,200,029,560,845,079,148,974,424,784,331,
935,098,338,891,618,148,674,129,024,605,906,468,941,883,442,456,838,130,898,
463,635,716,590,098,884,799,293,008,535,521,919,936,145,205,816,023,590,970,
433,763,951,244,112,913,259,065,109,239,215,667,377,673,486,202,324,228,342,
467,682,317,798,898,123,360,650,122,155,580,440,667,850,413,050,719,524,820,
797,511,342,616,125,328,492,416,157,632,185,195,006,155,121,378,124,170,366,
262,292,052,658,100,155,778,368,708,266,332,643,083,923,495,638,760,316,640,
180,638,347,143,379,882,526,060,565,085,185,797,690,825,124,028,990,432,737,
398,988,978,188,144,321,435,612,783,487,165,372,002,733,507,871,383,654,732,
814,577,664,340,550,675,294,809,735,619,641,763,907,733,901,974,981,428,389,
129,964,462,149,446,404,691,032,809,658,000,985,736,435,969,506,465,360,294,
695,620,406,344,744,369,194,958,247,659,513,267,445,387,759,005,936,040,203,
986,385,088,226,915,224,998,131,755,359,370,346,818,708,483,001,112,409,349,
421,696,319,833,720,210,877,014,168,554,504,313,625,844,177,897,229,473,227,
991,468,380,955,898,025,359,979,597,750,370,430,300,533,711,079,353,798,423,
230,195,821,442,742,857,964,830,645,114,514,391,877,738,446,093,479,595,274,
945,071,208,545,159,695,693,645,258,385,329,440,542,104,928,191,717,181,177,
916,695,979,957,575,130,854,089,364,651,897,147,150,142,295,120,779,640,729,
727,926,077,560,448,247,139,149,786,850,878,100,908,988,683,261,142,003,152,
475,345,406,722,693,241,187,892,147,116,507,777,535,728,491,250,468,374,142,
307,519,160,442,956,330,494,404,746,041,725,369,617,934,768,782,136,286,722,
729,740,643,301,917,661,157,485,816,616,088,284,209,480,657,379,444,455,846,
952,252,107,730,780,772,885,178,745,998,057,139,765,858,838,563,396,851,337,
228,578,108,465,831,005,287,252,204,230,728,435,196,932,092,790,896,020,056,
798,275,993,550,741,709,049,448,869,870,919,873,857,388,991,411,831,546,945,
340,838,804,114,132,124,287,473,509,366,535,864,517,927,790,926,038,940,908,
346,237,384,495,324,332,554,147,769,797,753,339,419,326,472,210,556,740,886,
983,892,916,861,348,876,958,562,414,858,832,215,920,058,296,116,535,624,233,
144,340,174,483,318,522,457,027,418,929,514,960,193,989,659,901,422,880,993,
251,525,990,867,670,798,560,921,853,192,876,610,871,701,682,523,222,718,011,
675,415,632,302,354,378,586,070,097,399,344,104,860,462,468,091,129,548,143,
310,816,359,884,738,703,029,774,947,965,299,749,261,642,130,797,629,436,596,
804,168,527,544,576,525,147,705,838,241,562,779,585,966,857,893,834,141,898,
863,188,128,636,564,838,044,990,262,873,802,816,004,359,570,758,988,859,696,
564,449,294,110,137,744,259,472,548,950,605,365,513,689,603,207,471,887,705,
286,149,777,191,317,285,716,278,900,025,861,534,982,994,473,105,784,139,969,
795,965,074,197,642,749,571,589,543,139,327,576,586,611,238,814,758,703,310,
077,082,491,843,422,570,306,833,331,869,362,741,433,427,399,537,083,976,761,
005,595,725,646,191,760,945,742,979,818,018,597,826,934,396,109,327,464,257,
739,596,906,699,863,357,438,916,927,459,310,941,681,855,906,907,242,224,070,
024,037,882,411,906,466,997,247,943,313,990,416,636,855,145,324,941,815,733,
004,012,165,684,748,067,710,386,330,888,704,317,469,891,178,189,150,266,670,
210,355,505,642,297,284,241,040,995,645,207,697,981,816,459,766,847,773,126,
374,217,836,596,176,620,572,541,582,444,022,063,598,917,254,982,058,997,665,
652,408,623,687,015,820,514,401,380,809,493,291,613,984,297,623,822,315,450,
168,918,674,309,601,316,052,061,915,828,118,959,771,612,018,207,569,302,392,
742,659,883,118,257,559,051,200,991,771,842,957,004,296,571,266,351,854,033,
573,630,829,146,097,405,082,262,290,463,007,910,656,017,391,728,516,835,680,
557,130,854,177,630,089,701,364,439,003,447,665,651,050,554,273,924,621,139,
595,077,784,611,240,085,945,765,971,499,650,121,353,869,297,213,411,508,367,
480,477,275,893,175,492,264,091,463,415,307,376,576,531,560,265,475,115,949,
812,269,066,696,801,064,984,572,121,181,094,617,175,595,807,408,936,045,332,
253,018,714,692,749,168,752,063,424,990,449,660,780,611,401,606,670,577,729,
198,663,073,174,078,002,341,738,491,071,379,220,564,037,610,473,833,228,285,
108,729,657,261,856,097,436,067,798,229,312,336,798,538,703,281,264,841,260,
380,933,855,637,313,573,371,217,427,472,934,572,830,375,736,041,034,588,317,
508,204,513,065,074,052,286,989,245,817,898,399,355,399,143,192,764,249,021,
865,049,173,619,557,976,663,129,874,548,335,441,688,088,304,691,587,843,644,
222,508,362,642,278,919,921,299,080,402,966,129,408,608,049,273,339,514,108,
969,565,824,676,703,478,740,887,150,531,489,854,967,225,528,717,598,776,974,
839,026,762,421,580,656,399,341,646,812,557,104,759,735,150,034,544,074,243,
722,401,038,365,014,961,867,808,076,098,559,758,868,916,755,301,296,240,379,
738,666,518,183,456,165,900,016,735,756,697,216,349,761,535,243,805,422,051,
752,148,663,532,410,559,287,743,475,680,585,693,848,488,899,484,887,582,672,
615,123,978,632,985,472,121,572,047,252,559,821,852,279,071,948,036,168,708,
335,987,051,545,478,380,380,329,846,961,603,810,205,117,469,189,690,147,547,
596,401,017,378,981,595,151,595,862,099,045,851,096,240,969,654,665,279,815,
729,006,605,510,207,065,038,656,941,270,253,919,652,989,965,139,022,246,241,
454,477,629,074,413,072,889,422,085,716,404,486,768,156,143,315,280,686,048,
238,177,798,108,336,441,802,294,928,318,203,265,168,728,281,383,019,778,298,
390,950,427,047,945,144,081,748,197,181,795,842,715,344,579,594,224,311,693,
569,759,035,089,676,991,183,276,225,428,947,623,455,518,655,294,223,625,441,
124,831,197,735,816,882,880,043,854,105,972,798,510,189,257,012,663,459,797,
594,247,020,619,265,391,698,100,846,323,637,130,752,245,461,004,353,720,196,
051,062,423,444,964,967,770,125,201,923,124,265,982,976,703,580,178,066,441,
599,427,493,917,782,170,616,072,437,679,569,365,008,830,756,431,950,405,615,
794,984,468,362,772,886,431,220,787,427,355,214,809,820,244,504,888,334,766,
435,819,952,134,141,931,491,125,839,159,416,627,583,135,000,937,189,662,130,
854,918,457,589,802,004,195,010,893,408,538,781,040,503,796,486,117,276,829,
919,170,701,950,709,087,885,511,349,029,256,865,845,098,931,638,984,017,090,
908,424,105,820,163,549,749,054,413,004,410,362,795,450,734,820,240,951,171,
444,724,946,046,253,380,250,585,846,170,754,452,575,259,549,053,626,151,714,
737,620,177,373,803,537,012,032,691,670,112,908,859,314,467,676,850,519,857,
933,509,194,682,913,257,858,063,814,796,494,984,806,053,016,140,965,871,100,
789,410,263,792,982,565,593,556,479,188,173,905,912,906,005,664,498,096,298,
043,429,277,197,856,935,849,478,446,644,584,868,884,588,432,408,476,840,201,
595,218,948,338,395,822,788,473,590,747,243,802,352,005,710,130,275,826,664,
691,243,123,553,885,918,569,298,397,158,993,814,072,343,091,274,521,015,549,
304,831,127,064,540,656,801,911,822,930,979,393,894,674,534,872,924,397,744,
984,636,621,563,478,513,258,682,026,662,810,328,923,144,434,034,751,210,824,
500,016,619,773,961,607,087,702,814,223,239,751,068,450,618,835,543,822,290,
389,481,621,350,925,982,138,291,844,269,101,400,449,596,278,205,370,863,989,
958,653,148,717,370,910,469,039,493,189,447,971,667,421,186,439,994,065,012,
617,774,800,372,642,766,446,862,325,659,929,510,689,006,056,822,993,254,748,
995,021,778,061,425,128,521,817,184,427,421,154,963,456,505,936,291,460,263,
775,844,421,606,987,646,614,850,135,380,988,651,774,070,097,745,769,395,896,
654,237,411,792,560,462,387,676,676,832,378,805,280,185,273,221,432,735,553,
627,197,970,774,874,608,115,908,581,463,139,680,857,045,776,424,635,854,913,
548,296,094,659,312,219,673,905,762,080,151,657,615,370,682,096,131,374,772,
562,764,567,072,379,372,261,452,830,405,682,118,402,334,092,345,491,683,907,
699,813,485,953,705,831,248,400,220,498,949,436,833,688,480,640,655,387,506,
900,337,156,275,937,766,047,598,534,621,936,622,603,308,238,783,209,100,562,
638,375,082,626,670,948,330,450,291,872,682,616,322,757,306,286,803,631,839,
298,603,920,546,888,513,074,150,036,139,735,406,338,962,013,330,192,910,609,
748,004,817,099,432,510,218,923,207,479,630,827,133,289,169,545,789,242,838,
573,902,462,429,919,729,423,660,888,655,222,922,082,928,228,279,972,775,349,
322,406,524,933,082,095,696,047,391,891,122,593,116,625,622,334,749,076,669,
627,497,828,804,933,751,768,949,287,921,515,344,601,239,761,609,415,961,595,
207,269,943,140,779,626,592,918,939,368,203,369,232,256,484,896,280,775,571,
025,547,805,635,985,355,162,376,733,315,184,448,587,801,377,052,506,884,780,
627,775,269,464,135,849,407,474,090,990,730,162,176,974,724,484,235,494,805,
852,786,753,541,271,614,864,833,889,162,069,672,353,808,468,491,290,021,672,
542,502,063,949,673,868,397,139,489,442,195,453,027,310,588,934,556,376,562,
674,721,414,102,606,057,702,489,190,479,278,227,246,142,825,698,300,157,909,
505,297,784,925,017,309,623,536,430,374,865,958,269,248,072,919,268,089,045,
146,333,276,015,398,528,574,263,384,261,081,610,789,012,186,087,781,687,885,
264,784,887,934,879,722,913,999,957,731,540,309,137,573,250,885,215,252,334,
237,228,559,330,329,221,907,211,359,337,149,157,672,566,689,194,745,638,338,
297,825,610,745,334,523,936,524,733,983,878,290,386,232,601,959,708,800,861,
639,625,745,088,687,815,523,707,724,337,657,844,230,273,130,412,409,265,658,
054,122,751,161,791,495,848,148,404,554,552,602,297,780,319,617,895,185,898,
222,779,561,978,903,045,841,023,131,441,529,438,530,976,809,028,893,997,610,
324,209,038,333,456,983,075,858,546,916,713,705,684,309,177,749,001,921,955,
531,488,511,510,405,605,371,528,220,529,766,260,448,076,582,981,713,144,968,
312,942,693,519,602,934,548,209,612,933,903,272,979,688,748,413,390,301,843,
367,867,669,075,403,904,756,978,486,996,157,380,793,778,355,568,397,413,016,
452,394,597,402,009,808,234,139,207,586,446,294,634,171,700,738,513,346,700,
171,976,840,823,003,175,085,700,455,590,393,213,556,894,594,328,449,373,826,
616,172,841,991,781,033,316,585,012,127,201,866,957,417,694,358,960,472,308,
697,463,759,818,020,959,375,248,902,237,893,133,115,121,836,951,549,996,267,
442,820,615,933,784,838,750,744,055,274,517,210,949,726,427,627,919,417,410,
993,420,169,693,686,307,173,741,337,142,087,867,661,959,103,498,696,183,666,
417,982,641,252,297,320,398,162,085,796,886,795,672,172,115,961,686,491,438,
645,218,043,989,575,242,948,955,021,893,358,740,659,974,925,855,168,512,920,
808,569,980,759,906,749,866,572,678,498,162,535,345,775,687,669,001,060,266,
725,545,386,383,671,669,410,925,695,817,029,598,890,457,403,655,255,130,556,
972,672,566,909,386,155,362,497,037,152,250,925,732,704,477,593,114,082,625,
016,969,291,250,196,212,129,507,526,336,395,978,713,384,875,147,480,123,214,
378,517,034,232,693,175,683,084,043,692,574,076,082,563,502,581,511,298,453,
069,218,147,087,768,473,062,209,228,117,964,801,901,937,121,582,226,495,731,
884,773,099,336,763,857,202,905,319,594,005,807,929,994,271,386,261,027,998,
351,751,691,206,055,021,195,614,795,888,288,326,680,225,805,425,701,629,350,
678,945,639,336,244,922,939,052,486,660,507,321,373,172,146,330,702,737,682,
133,513,505,061,749,509,407,779,146,562,037,942,337,225,128,343,078,866,776,
456,416,946,867,647,242,061,388,930,133,336,062,422,923,465,332,112,064,672,
666,255,798,186,453,253,142,145,233,105,448,680,022,301,347,628,705,398,667,
680,405,721,910,284,742,332,218,110,675,870,871,034,066,259,925,527,636,882,
510,622,522,915,811,383,333,507,941,777,305,595,604,640,346,678,246,032,036,
251,940,990,875,651,326,362,202,508,588,581,838,925,236,354,411,061,013,125,
246,954,567,178,164,675,877,735,936,521,972,866,311,052,155,489,936,647,106,
050,377,388,719,500,022,176,725,825,187,630,377,646,871,943,633,403,326,736,
078,425,007,788,179,156,998,882,307,346,265,720,136,457,645,576,378,607,470,
531,758,254,385,782,509,868,441,373,714,283,535,996,374,992,596,503,912,145,
101,917,370,803,099,445,603,626,635,079,938,880,396,655,179,128,060,158,458,
826,917,434,296,442,442,760,365,884,573,124,235,834,837,918,563,106,075,396,
257,239,599,258,823,892,420,023,446,639,012,775,429,819,042,473,490,711,568,
919,516,068,689,088,597,516,938,693,575,390,270,843,041,939,657,451,826,578,
599,475,821,386,331,616,102,247,103,165,989,928,957,124,956,807,173,642,041,
668,810,242,471,483,353,985,414,528,430,067,820,118,444,311,059,719,535,646,
105,426,343,691,761,263,859,054,786,522,711,879,833,110,159,052,006,020,500,
818,709,921,877,254,452,490,262,965,819,538,829,780,473,528,026,261,336,069,
044,379,501,094,781,550,534,088,360,207,029,604,756,358,228,348,064,648,606,
267,125,768,865,395,869,300,962,418,452,590,702,566,789,609,262,904,226,801,
051,608,943,097,793,305,111,869,938,648,651,283,696,476,286,856,535,258,294,
272,857,805,986,373,714,868,598,873,074,681,816,644,051,945,498,332,695,014,
363,841,348,345,620,401,455,777,579,712,996,410,780,136,239,159,799,795,256,
084,146,152,972,901,999,120,387,503,527,018,009,098,963,554,778,041,017,464,
754,209,971,647,650,862,444,108,433,002,903,686,190,097,149,899,271,074,205,
909,110,329,899,457,771,618,743,912,841,895,913,289,125,421,412,893,662,172,
928,184,477,212,291,133,949,920,659,269,069,400,404,025,695,845,348,712,595,
910,229,705,563,324,215,366,697,027,662,974,966,488,871,921,056,929,273,214,
004,512,418,516,364,292,554,906,912,712,685,072,089,647,336,536,784,766,771,
904,579,372,730,376,113,055,294,709,937,137,922,827,442,021,509,521,167,898,
918,600,439,200,606,896,717,471,764,194,467,417,422,205,624,696,878,076,842,
100,480,548,089,449,982,044,379,436,273,542,179,885,743,779,647,749,066,102,
933,819,104,171,304,813,791,200,522,951,932,093,794,396,036,949,538,216,314,
998,945,513,390,677,158,660,994,866,782,477,731,174,986,641,147,518,172,442,
976,354,536,294,639,806,846,749,762,013,113,725,133,481,452,906,399,400,719,
941,120,069,666,903,107,065,569,136,794,553,113,117,254,637,555,723,541,990,
347,062,756,195,841,610,887,090,620,675,056,624,249,691,563,553,764,936,347,
164,946,682,393,297,418,553,993,363,176,747,801,513,322,314,547,113,218,930,
151,881,560,778,417,610,903,726,169,594,691,252,893,567,731,968,192,871,454,
917,048,536,241,123,267,937,119,606,247,316,529,691,067,144,104,714,323,763,
734,394,109,369,191,892,223,009,289,600,119,496,626,171,712,361,690,160,158,
642,156,123,086,742,435,637,065,520,124,676,562,879,160,769,370,632,071,974,
552,636,635,891,322,323,599,891,365,702,532,493,064,299,997,442,240,492,943,
865,118,880,736,107,363,145,572,843,870,264,793,087,781,108,072,198,701,504,
551,059,797,756,676,813,570,008,425,827,861,271,889,918,371,297,140,647,037,
251,943,973,765,603,917,703,266,834,266,162,313,580,768,579,538,719,366,982,
318,202,968,100,699,735,756,277,490,015,668,688,180,207,209,579,641,715,967,
679,090,061,707,106,311,931,546,024,776,808,948,833,992,527,825,509,515,807,
908,972,495,722,246,947,657,839,473,465,058,398,535,272,737,220,328,935,162,
209,832,060,852,741,292,196,814,570,840,788,801,887,313,461,706,080,471,424,
886,138,512,822,034,779,320,095,284,622,607,019,350,287,761,226,617,205,045,
205,884,308,959,945,790,483,538,535,762,519,257,098,081,976,886,569,817,318,
336,456,961,126,356,379,607,379,356,192,038,941,832,648,917,792,756,112,080,
073,073,690,769,121,771,780,517,969,844,566,076,684,071,022,163,587,861,109,
939,914,548,236,154,599,575,949,296,599,472,280,657,722,360,395,581,435,584,
388,027,884,868,013,503,847,527,441,742,531,517,114,665,443,798,239,509,073,
972,532,642,372,915,658,992,869,599,167,150,138,447,674,007,069,915,747,337,
795,828,888,733,480,370,526,504,219,069,441,874,863,714,875,272,908,616,091,
730,117,294,280,712,026,195,855,217,734,732,296,400,078,840,636,559,326,020,
791,958,750,313,911,665,271,692,410,029,444,554,384,266,946,580,370,406,756,
082,043,685,822,551,587,022,956,585,203,575,554,408,913,667,639,834,209,486,
527,024,456,628,727,697,767,228,142,998,799,911,152,907,231,355,131,601,908,
050,189,887,844,844,788,575,756,659,608,066,633,847,601,056,955,822,160,178,
958,831,907,626,335,205,300,166,993,799,627,194,583,497,525,079,298,437,514,
165,647,439,639,413,703,255,355,798,074,025,887,667,422,903,959,201,489,219,
428,557,890,684,533,604,102,034,048,611,581,437,146,178,388,053,824,680,027,
464,622,897,767,803,523,587,235,447,321,343,872,167,724,024,404,713,262,351,
562,696,855,193,294,455,655,405,012,169,628,209,375,670,703,973,513,709,748,
559,490,528,431,194,235,925,645,677,014,977,223,272,523,848,488,107,577,445,
570,321,182,423,908,575,615,071,359,132,393,404,141,181,536,297,235,124,059,
871,228,979,688,728,641,514,635,372,469,394,997,050,226,377,641,491,275,712,
649,467,571,198,071,714,927,150,445,806,902,147,022,735,181,878,112,974,406,
176,710,630,102,332,125,001,767,814,319,959,849,990,752,341,461,503,486,383,
097,996,114,553,475,059,711,698,639,075,341,317,970,749,826,079,158,952,647,
236,292,348,655,440,556,759,022,760,426,299,863,573,513,228,615,233,685,638,
938,670,079,207,778,252,923,474,380,383,443,134,149,093,840,312,894,908,057,
248,989,433,165,324,431,719,059,257,547,141,856,685,167,518,592,816,016,201,
257,851,272,767,482,749,662,655,273,695,626,709,903,712,658,620,551,909,549,
216,988,338,458,719,877,815,192,207,151,132,121,287,504,060,296,845,344,098,
265,035,554,470,819,393,960,511,242,773,520,971,793,654,135,662,607,001,436,
205,052,130,208,287,667,309,845,524,169,798,710,685,188,183,926,094,163,628,
366,191,770,735,541,153,748,708,453,553,789,931,250,322,580,190,626,166,173,
973,325,065,150,588,698,568,037,082,986,877,006,591,987,223,010,537,681,062,
230,702,304,401,824,547,517,124,220,125,688,833,894,132,980,011,088,431,011,
908,364,710,586,140,004,751,362,988,335,857,070,670,236,828,642,175,091,621,
809,170,316,276,021,632,270,049,251,536,040,953,232,382,030,120,950,319,806,
695,801,520,514,915,760,683,633,241,514,172,641,007,788,772,884,252,314,156,
932,423,623,598,480,392,267,044,957,796,631,365,746,501,546,509,506,346,493,
461,887,422,141,086,326,591,772,303,558,703,272,366,349,844,797,069,430,123,
530,347,259,475,165,616,425,271,223,651,842,955,763,122,955,923,300,028,078,
996,023,661,270,773,573,006,911,556,798,591,005,641,228,165,544,373,129,254,
408,897,651,606,904,126,940,347,458,982,905,158,512,183,737,330,321,734,054,
140,535,592,842,384,348,526,743,993,115,768,785,029,487,721,453,459,087,256,
679,711,144,233,087,510,473,645,174,019,691,704,334,644,240,515,726,407,871,
548,009,450,866,831,372,250,947,712,087,633,621,358,202,963,485,287,172,023,
356,978,418,773,899,922,336,701,846,079,796,508,788,425,192,493,529,840,560,
539,373,112,274,834,506,110,617,461,251,978,541,160,956,132,378,214,825,445,
833,341,867,199,759,266,305,014,818,482,358,919,524,971,163,728,738,757,106,
601,602,942,132,725,011,021,121,825,793,328,876,871,166,822,338,191,913,455,
356,548,199,709,521,737,469,899,485,314,369,544,413,514,302,805,602,819,153,
459,248,227,482,021,852,862,328,024,031,734,289,727,184,548,350,765,691,136,
237,721,342,850,575,888,019,419,297,453,580,712,713,998,022,635,642,147,227,
266,744,924,217,220,780,669,150,135,880,882,993,567,416,097,709,645,713,936,
506,972,404,445,636,605,857,417,507,660,658,876,589,445,549,177,803,813,466,
177,206,576,736,993,714,320,651,878,319,600,917,394,378,649,948,725,030,694,
993,001,742,291,234,205,074,762,910,226,713,697,854,664,334,617,078,756,505,
250,670,974,288,867,381,359,688,134,878,500,393,029,563,871,900,079,228,362,
164,971,373,621,093,542,216,538,987,741,872,604,167,749,608,838,943,296,887,
241,184,565,131,591,524,497,046,352,801,955,172,565,691,592,962,415,602,344,
499,939,256,248,313,728,015,105,718,661,711,455,122,897,674,580,479,282,503,
029,235,256,017,244,544,357,058,324,605,304,383,694,456,498,181,973,511,653,
646,049,493,740,482,635,466,520,918,978,546,917,056,024,603,010,496,951,523,
617,174,964,147,474,967,789,099,950,908,785,328,550,893,279,696,887,546,346,
553,230,137,548,005,960,152,065,973,623,685,258,259,251,832,320,295,591,864,
083,448,656,867,274,305,328,900,760,276,767,510,784,465,989,994,997,546,187,
379,341,255,194,376,250,589,223,900,725,687,974,869,863,922,587,658,186,668,
517,122,241,453,673,360,752,855,614,590,243,250,477,601,733,942,211,685,046,
731,912,318,939,931,850,359,417,436,401,561,877,079,315,254,251,289,157,976,
283,202,565,129,305,407,741,029,633,808,263,719,867,053,602,358,323,472,397,
829,500,866,171,096,549,899,877,968,068,285,549,831,803,638,616,777,229,386,
205,712,322,147,645,004,649,677,318,729,620,587,058,345,040,049,261,197,375,
717,556,071,507,369,139,860,911,442,443,331,093,526,820,815,615,604,189,806,
439,398,517,690,691,515,071,496,892,164,253,707,479,408,417,761,873,538,383,
834,343,210,782,651,666,702,202,907,768,691,155,760,646,100,258,616,512,813,
975,983,194,677,953,483,704,030,337,954,082,605,540,673,299,573,545,312,346,
593,947,153,052,235,042,821,094,211,442,043,977,839,989,917,309,979,237,430,
717,163,765,679,659,185,599,299,542,647,232,048,088,743,313,313,600,812,009,
711,894,601,595,823,059,185,985,698,915,219,587,844,089,539,771,740,211,629,
676,173,900,199,065,597,944,905,585,936,061,147,019,904,103,959,136,065,121,
279,593,154,241,363,882,381,265,946,689,151,780,296,174,099,159,572,562,637,
205,222,336,331,998,465,156,876,878,930,089,209,881,810,006,327,489,745,187,
675,257,057,544,990,131,657,768,749,260,665,351,952,968,239,708,735,977,298,
669,989,397,156,935,460,350,380,724,283,557,891,240,076,834,692,203,229,706,
436,706,344,132,344,548,182,942,570,968,529,695,862,856,632,236,585,927,642,
232,690,134,986,263,440,616,983,296,929,716,222,217,565,130,640,833,279,575,
558,474,340,454,777,331,287,019,351,078,469,044,686,637,454,764,099,825,806,
842,558,849,535,059,128,239,687,568,763,529,050,225,406,832,082,258,417,160,
824,206,554,322,945,001,821,897,661,991,300,532,089,664,221,405,278,362,500,
214,305,950,773,792,504,603,549,769,749,865,012,597,777,282,051,143,060,340,
831,629,526,908,302,091,519,220,294,550,098,514,655,949,738,060,538,232,602,
236,621,855,086,095,019,780,218,819,417,018,594,188,239,849,990,445,569,929,
655,333,741,331,445,179,503,617,883,794,084,783,616,857,254,315,793,000,722,
306,215,321,409,442,264,543,156,020,679,373,348,054,517,414,856,366,790,972,
511,673,705,533,795,915,611,613,812,032,716,115,603,114,909,777,918,771,114,
662,952,857,432,609,498,938,196,634,129,599,699,458,644,781,039,264,744,378,
474,790,920,705,704,487,258,177,554,198,704,768,010,563,997,577,023,679,449,
315,958,711,102,281,385,834,819,395,619,917,191,333,849,902,534,764,255,274,
911,115,056,068,222,444,604,544,663,226,966,270,375,347,865,100,092,652,140,
899,023,289,528,347,119,688,611,793,235,496,334,249,721,173,901,736,231,912,
522,973,228,728,754,977,803,912,374,260,985,676,284,248,272,567,194,820,642,
046,376,727,261,448,403,431,660,925,352,374,040,006,304,106,900,807,429,373,
011,212,762,104,029,152,607,660,784,062,201,602,812,449,127,148,902,248,672,
695,249,042,144,999,866,789,538,171,093,647,744,472,094,953,810,583,112,227,
752,141,815,582,420,984,938,203,757,278,059,539,245,898,992,773,141,907,414,
239,327,068,408,187,698,277,683,505,733,492,239,955,141,596,754,805,618,171,
951,675,310,364,490,311,829,252,982,847,836,945,728,840,123,485,150,112,274,
010,169,732,439,016,994,836,278,308,323,962,680,411,799,233,782,454,730,910,
429,479,555,774,009,059,968,591,837,734,572,330,083,093,880,203,758,293,862,
554,548,276,897,731,877,228,843,383,676,411,215,894,826,180,222,083,913,939,
991,070,042,742,123,862,747,929,877,903,579,769,352,767,527,837,710,191,989,
701,479,291,628,991,256,104,148,891,408,761,895,098,593,412,820,528,319,207,
334,275,536,625,583,540,878,466,703,971,335,667,379,222,343,633,752,094,674,
637,647,521,933,298,358,767,064,174,950,141,912,940,365,834,983,218,465,388,
099,875,259,154,740,984,656,026,371,403,905,608,420,560,876,675,525,107,761,
666,378,555,362,910,945,989,050,425,055,937,255,997,470,039,955,257,357,510,
745,392,877,260,949,568,998,780,738,813,450,419,742,758,199,030,067,268,126,
578,999,170,370,411,542,749,954,503,724,754,381,213,286,493,788,328,762,180,
147,575,826,055,778,177,799,918,471,260,106,237,611,960,055,638,794,613,537,
687,922,316,807,659,663,036,827,126,598,208,980,836,455,828,207,444,129,317,
546,152,526,980,255,715,085,315,392,911,019,888,212,957,832,448,401,680,275,
873,776,094,075,816,164,686,576,455,536,789,663,845,539,868,525,568,762,899,
397,763,449,982,897,068,691,664,761,671,127,769,539,506,584,878,186,412,022,
589,629,514,965,500,974,128,439,408,911,180,438,571,056,064,886,495,524,300,
582,166,777,468,667,501,149,392,821,985,221,978,635,203,308,107,862,197,572,
308,249,637,296,901,020,515,017,288,168,018,434,542,678,214,318,857,172,923,
500,781,165,495,767,682,429,957,680,358,102,103,562,753,735,541,677,612,941,
559,135,565,012,467,933,798,305,944,697,242,124,874,244,830,856,863,448,064,
899,458,272,751,185,827,508,808,842,559,090,891,691,282,034,989,321,403,690,
756,608,229,829,195,005,742,467,278,986,257,997,189,270,289,889,509,728,058,
218,847,003,164,407,134,160,117,574,909,301,164,056,495,740,528,299,489,190,
746,730,136,995,697,121,969,207,320,280,971,182,828,831,350,907,265,598,682,
930,419,296,827,929,064,260,087,973,183,585,347,869,133,717,289,569,838,260,
260,445,402,345,720,234,767,121,460,649,956,709,936,338,541,748,474,823,393,
916,518,262,067,024,667,627,608,661,773,872,930,290,428,689,033,582,078,487,
781,026,090,125,774,157,919,281,874,892,445,549,436,119,988,903,579,202,112,
811,583,977,109,906,031,671,111,175,385,116,515,977,026,142,813,844,605,903,
489,136,821,183,863,690,497,050,147,442,570,582,816,889,391,388,789,488,122,
873,168,225,370,524,466,168,316,231,923,649,391,565,902,556,074,471,017,205,
829,214,969,768,416,190,224,679,495,780,036,117,060,883,218,161,486,803,618,
061,889,123,240,686,789,892,081,258,832,132,100,240,268,851,262,284,796,055,
543,200,708,666,237,886,182,535,890,193,859,317,683,601,449,737,440,996,138,
525,051,757,203,667,754,566,949,190,284,824,860,245,630,789,511,138,476,127,
423,014,590,922,833,729,089,173,390,818,646,978,537,327,828,608,093,716,620,
880,670,359,222,740,559,597,218,806,784,465,225,535,568,412,344,877,871,856,
898,045,851,129,646,628,586,330,843,585,011,051,800,804,949,102,776,177,656,
560,043,746,759,423,568,502,902,868,679,955,994,391,664,547,634,077,729,690,
707,589,720,551,772,776,603,824,563,647,678,295,084,221,905,474,662,887,393,
747,993,101,945,617,927,966,813,680,964,985,761,595,387,078,951,579,866,799,
378,565,464,788,946,588,576,218,438,807,598,104,078,392,228,758,080,406,847,
869,360,138,222,986,924,738,271,544,135,432,261,476,636,751,111,145,557,732,
057,691,040,846,965,109,478,106,653,957,336,133,702,429,356,456,912,246,795,
769,127,377,573,459,802,839,237,730,110,980,187,476,355,339,474,160,330,619,
728,079,635,852,433,794,488,768,691,434,480,245,866,727,289,395,284,302,920,
857,257,190,094,311,308,193,816,070,006,121,331,552,810,897,878,712,479,495,
787,292,016,442,803,593,285,274,459,930,118,262,779,481,157,634,269,999,740,
683,514,752,276,920,274,474,880,597,224,426,241,345,284,840,922,193,903,924,
896,565,725,053,176,426,383,019,981,527,544,364,152,126,124,885,923,043,785,
002,959,477,709,315,977,186,295,264,003,330,025,129,044,474,076,844,978,631,
030,505,378,410,920,414,350,845,348,039,692,204,038,895,060,485,885,314,296,
400,441,970,777,618,510,161,648,844,723,884,425,959,107,275,992,988,370,120,
201,482,472,756,831,819,087,187,386,913,512,125,358,927,593,379,734,963,854,
344,611,101,713,870,269,027,555,118,956,844,975,244,480,184,520,733,889,645,
622,129,922,942,067,761,798,059,962,961,521,644,267,577,081,578,284,082,762,
798,310,071,479,012,986,383,711,887,465,941,434,269,382,583,165,448,162,347,
062,022,985,596,610,332,010,626,021,779,750,925,231,752,210,239,673,997,120,
055,868,203,135,518,899,373,349,518,772,833,619,405,340,025,759,483,973,911,
367,189,854,689,216,383,723,948,473,529,190,565,311,691,955,036,996,152,897,
534,564,084,305,658,033,695,067,747,553,757,272,354,387,541,761,778,683,703,
059,807,750,531,344,165,297,618,168,672,526,746,504,301,390,436,354,584,352,
207,036,667,721,568,808,769,725,121,075,004,449,116,540,552,359,638,888,354,
001,500,857,285,391,527,282,492,992,574,336,891,466,042,876,864,623,796,482,
921,445,024,543,802,877,644,466,503,078,294,257,061,803,860,032,789,206,745,
847,478,743,095,309,378,397,108,388,411,987,536,348,717,113,276,764,479,280,
337,554,591,951,579,882,380,265,177,105,944,044,110,113,453,841,101,957,832,
038,760,304,523,459,020,628,575,412,044,261,138,718,929,032,365,665,061,062,
145,876,666,572,563,314,582,161,042,785,342,655,828,009,336,277,657,958,931,
516,394,480,115,789,933,859,848,564,796,226,689,731,323,392,168,996,582,433,
454,949,078,536,915,957,487,802,000,254,025,525,757,164,511,754,156,118,541,
872,343,243,741,514,601,201,503,622,865,780,183,294,591,349,495,482,293,304,
017,449,247,749,412,546,776,499,370,539,551,991,807,494,098,711,582,790,138,
971,033,417,736,956,147,105,078,611,276,834,716,989,394,285,462,677,733,946,
755,720,285,250,032,172,260,692,420,800,322,459,991,649,925,360,096,581,626,
464,094,928,425,453,207,643,266,858,922,038,748,288,973,823,734,947,607,752,
098,236,530,894,000,944,386,646,787,416,541,552,071,274,045,242,067,480,327,
203,664,766,810,828,389,309,721,057,330,612,326,135,124,746,928,525,995,379,
221,827,470,598,874,447,434,061,362,902,937,340,954,201,460,884,640,671,727,
985,798,813,585,277,248,321,046,118,981,129,767,268,106,109,957,544,024,845,
614,921,683,594,265,274,593,557,986,418,794,932,149,659,399,854,438,954,060,
733,354,369,916,227,741,841,823,601,042,077,911,886,377,462,029,537,255,659,
371,742,887,957,452,854,092,991,752,755,848,825,964,040,149,968,486,334,974,
310,187,868,338,970,756,264,196,748,262,221,901,880,229,600,501,034,213,356,
531,091,926,683,278,031,332,164,732,291,266,822,274,366,151,513,423,008,376,
624,034,932,038,314,015,404,426,009,510,195,410,183,707,852,172,287,512,847,
221,687,089,557,117,050,894,192,302,274,176,600,254,588,797,170,102,535,317,
427,827,397,108,324,756,293,683,086,342,040,978,592,914,568,321,665,804,119,
609,966,538,415,916,020,095,206,293,392,554,447,385,989,417,865,090,064,024,
744,629,106,293,347,452,999,169,029,074,148,175,720,774,627,794,217,363,604,
749,460,897,430,048,779,246,083,072,044,895,885,117,446,819,222,144,266,211,
592,537,473,456,231,793,797,765,518,424,348,459,902,586,680,332,129,124,241,
706,198,318,735,102,597,093,378,046,004,491,092,737,057,542,072,375,667,507,
416,355,739,061,798,815,530,522,224,063,949,980,112,802,267,338,422,121,571,
530,220,909,002,849,179,248,493,764,565,794,762,516,594,630,578,204,850,588,
176,869,225,952,561,558,649,836,647,722,981,247,040,148,416,897,174,807,681,
707,925,800,979,046,691,210,376,304,506,258,153,472,356,118,161,971,717,967,
775,526,509,592,736,910,763,055,846,799,252,552,354,620,086,272,524,968,546,
885,941,553,131,307,022,547,691,481,636,361,966,423,391,024,933,856,479,021,
459,534,699,138,333,486,558,955,211,432,766,886,429,433,915,438,496,215,078,
180,078,324,952,338,906,136,012,873,313,055,966,021,513,209,890,798,057,907,
661,394,943,907,871,994,562,518,109,956,731,242,457,944,384,165,853,821,186,
819,061,142,222,047,607,767,520,008,932,236,632,832,647,322,335,780,717,901,
261,275,210,061,082,874,632,460,479,948,650,979,381,756,215,339,769,463,839,
511,325,514,568,677,867,464,373,380,198,077,385,445,470,102,759,869,730,055,
590,331,347,922,288,435,762,719,502,535,742,686,007,992,598,561,473,289,674,
172,478,753,994,596,909,314,031,429,430,232,332,542,666,430,928,106,902,693,
891,041,331,802,731,438,509,028,801,708,594,160,507,048,764,283,750,585,893,
538,977,185,200,522,980,085,737,198,145,306,520,180,858,446,809,706,096,615,
854,754,721,070,266,051,745,578,275,437,896,758,888,849,356,791,877,680,198,
143,984,059,081,498,194,181,512,150,098,472,001,592,685,833,566,160,147,101,
047,937,893,439,409,746,542,661,252,237,561,381,066,852,649,326,894,997,444,
060,437,223,030,091,652,120,171,486,844,875,110,773,412,508,374,140,260,603,
623,363,267,095,146,445,506,638,156,677,419,403,604,156,118,670,486,556,460,
299,299,468,486,991,305,897,299,703,682,068,749,864,518,956,172,391,255,495,
268,542,023,756,965,769,094,641,170,811,292,491,664,485,627,626,490,665,529,
029,414,340,390,528,180,898,905,912,699,987,628,184,700,276,262,805,042,534,
775,373,281,206,163,957,388,183,983,293,401,070,263,877,599,282,713,591,463,
856,120,547,208,053,041,207,774,280,429,253,001,069,664,392,867,298,634,086,
607,747,199,164,592,133,848,383,992,693,492,954,838,421,017,796,339,289,450,
484,295,498,201,076,130,076,415,814,414,984,487,352,699,233,519,399,785,287,
780,885,371,612,463,784,308,594,645,554,820,197,376,140,463,669,849,016,026,
984,108,046,484,323,431,036,947,750,574,556,643,249,170,030,706,691,677,222,
261,687,466,091,113,866,696,953,327,077,533,516,004,216,896,325,954,927,917,
053,738,059,009,210,970,657,741,341,748,252,150,106,941,583,159,853,348,208,
800,530,214,735,769,221,996,561,783,112,547,666,633,640,771,135,518,972,965,
948,868,653,163,325,236,317,730,177,391,039,524,930,721,443,537,007,018,800,
609,910,414,347,504,672,753,637,077,983,592,060,772,932,069,564,044,436,146,
566,852,689,943,949,424,840,990,443,436,478,068,208,910,196,031,810,815,531,
349,276,728,275,905,346,648,567,266,526,223,009,993,504,164,358,909,158,884,
721,679,521,446,457,004,328,046,808,378,615,128,356,521,814,481,391,572,576,
247,985,111,492,312,715,853,972,837,718,292,190,613,071,130,225,380,679,941,
509,807,858,873,616,526,878,226,546,694,816,742,728,649,907,385,160,482,989,
213,955,553,226,255,448,494,029,665,299,292,111,068,715,275,398,099,935,619,
470,590,655,876,757,362,604,577,186,262,528,468,859,256,498,712,506,857,456,
914,319,943,462,153,718,452,807,676,873,342,418,967,941,868,790,982,993,349,
770,289,943,190,530,768,081,568,979,565,470,501,593,530,913,399,087,621,519,
478,250,269,268,137,582,025,199,385,514,442,272,497,576,120,516,257,101,356,
973,623,771,996,904,320,666,396,252,728,592,867,137,718,415,959,629,009,983,
803,391,388,022,673,320,540,523,646,018,049,685,910,223,772,883,183,020,600,
541,415,445,178,259,516,986,159,594,968,696,216,799,576,826,017,889,656,821,
563,803,979,306,412,036,642,111,839,800,303,431,043,744,206,627,635,719,792,
909,295,315,548,068,678,068,503,173,954,923,545,615,252,939,791,531,982,479,
280,092,430,522,097,572,109,381,632,184,110,974,366,075,719,522,784,801,811,
608,259,152,092,650,898,204,466,654,507,350,727,942,275,740,085,066,719,686,
285,688,397,881,492,212,495,207,206,841,606,334,194,891,231,733,874,551,370,
721,482,478,496,791,759,512,154,554,122,868,764,013,194,254,947,704,582,438,
370,057,304,289,096,346,281,784,865,492,052,477,619,098,823,858,998,682,203,
675,124,640,830,497,172,716,474,625,814,690,109,722,264,754,516,205,129,712,
618,478,974,141,480,960,010,539,823,668,065,350,704,841,772,789,789,316,997,
729,173,064,684,777,647,206,405,757,989,572,353,618,181,851,524,845,996,557,
672,568,025,244,402,648,305,850,067,735,260,522,515,662,293,995,469,363,052,
666,892,766,809,460,359,021,625,426,657,615,864,897,309,547,492,188,741,155,
837,855,522,474,136,126,826,454,918,230,857,540,692,791,175,141,165,658,270,
167,294,127,471,229,998,723,485,906,652,296,617,319,677,709,887,608,350,899,
132,857,508,228,049,537,369,098,008,113,887,013,240,544,350,625,467,313,815,
599,844,076,699,073,740,812,743,571,880,174,203,117,819,573,221,985,456,834,
624,459,030,875,530,078,882,357,841,392,568,274,775,047,562,194,370,742,923,
122,205,761,224,650,456,366,619,575,892,141,245,948,054,955,641,548,425,585,
832,163,047,440,348,728,556,401,682,332,204,285,393,815,294,701,258,624,932,
761,038,703,248,650,701,784,302,387,566,486,772,911,171,869,785,894,137,232,
108,158,484,614,432,014,623,724,212,447,631,003,046,185,536,908,367,679,958,
918,967,765,912,996,005,130,750,265,461,047,747,832,749,423,339,976,910,949,
363,707,142,108,234,788,839,976,512,638,183,573,528,944,966,889,652,639,729,
591,787,232,499,242,545,439,327,361,422,787,889,698,878,587,096,754,236,521,
140,090,215,362,646,416,729,501,484,315,046,137,701,729,864,024,792,365,305,
287,083,577,542,278,988,131,448,309,016,134,714,883,982,838,797,070,518,086,
061,637,548,625,858,602,678,294,406,229,314,169,112,490,245,232,914,881,378,
486,045,078,733,895,791,705,675,650,933,659,540,420,742,349,735,636,167,867,
114,188,478,377,837,082,525,291,948,312,362,444,803,548,788,943,650,004,455,
954,548,176,538,347,563,338,302,094,554,244,384,650,932,920,992,044,134,354,
400,913,221,933,298,049,424,360,532,261,855,466,711,538,123,967,517,077,024,
116,318,794,838,679,011,536,198,240,214,665,682,543,616,403,425,585,412,169,
191,802,662,444,724,960,422,597,133,772,131,419,103,020,982,557,886,648,925,
685,986,416,338,995,158,420,221,492,606,799,712,971,702,201,227,240,412,401,
659,926,000,361,720,716,186,187,772,911,496,180,571,610,454,373,901,945,384,
491,282,492,250,630,742,822,732,822,638,008,507,997,507,066,529,165,554,222,
815,203,704,723,180,169,639,397,888,813,521,018,111,635,710,176,019,705,320,
828,226,529,972,836,191,114,411,764,406,337,945,352,321,436,222,012,004,347,
351,273,661,983,593,461,192,237,539,648,029,981,952,063,023,711,344,898,820,
867,148,201,079,032,820,035,411,432,701,015,935,421,929,181,483,411,081,162,
467,523,511,457,981,096,106,054,003,624,566,279,791,432,355,082,712,831,539,
929,982,780,126,297,332,140,136,062,065,894,266,694,126,241,154,787,530,278,
199,899,036,159,621,848,683,476,499,489,870,257,363,090,534,855,712,046,442,
310,887,882,724,380,229,025,956,339,226,669,988,288,217,144,280,852,732,356,
547,925,388,138,419,361,616,032,562,268,782,151,430,169,101,624,658,141,828,
550,279,668,371,151,365,040,842,657,076,044,736,565,427,507,147,144,673,765,
760,807,393,613,192,196,317,596,910,627,657,354,555,400,728,680,380,371,785,
801,843,153,248,881,164,816,898,210,288,361,913,918,682,338,692,984,025,639,
967,321,746,830,258,389,119,140,850,617,988,059,335,411,350,353,330,748,562,
164,879,736,790,697,690,834,952,349,636,187,396,739,966,105,353,476,814,727,
789,654,620,124,197,952,524,180,232,544,179,017,444,872,800,090,861,015,430,
422,856,000,438,328,128,773,589,039,232,905,004,403,522,901,333,908,056,201,
476,108,570,025,698,979,076,237,629,732,147,685,687,422,405,904,265,140,037,
091,258,922,860,779,380,190,862,710,674,623,310,894,012,470,483,516,726,855,
231,320,228,206,538,197,446,114,330,033,565,868,866,426,617,780,076,365,534,
429,305,457,634,580,577,695,714,733,640,778,478,077,607,470,491,610,422,352,
695,441,272,913,352,415,406,983,289,634,727,796,833,113,292,329,422,084,700,
206,054,048,675,459,508,414,000,683,653,582,307,298,377,219,369,477,841,176,
606,424,123,088,321,484,243,360,545,008,762,572,810,257,971,685,592,856,705,
251,699,527,810,074,559,088,933,377,680,817,399,944,118,528,558,012,636,337,
871,359,888,301,008,908,647,678,650,579,885,928,498,087,770,964,828,361,769,
498,740,934,573,644,415,333,490,053,842,189,772,969,853,437,712,762,021,785,
793,120,258,256,302,031,425,529,991,268,224,217,133,482,489,196,799,721,837,
404,841,769,787,496,823,235,211,727,858,184,495,544,003,224,327,811,612,560,
951,330,895,609,361,437,148,222,465,924,524,023,917,411,974,768,988,620,470,
538,315,130,280,896,417,128,670,326,984,779,057,353,403,780,999,245,073,560,
960,700,384,421,106,870,279,817,781,020,983,272,047,742,877,814,349,660,837,
573,441,018,741,748,636,811,422,833,273,812,646,519,222,926,221,255,738,350,
150,924,165,418,050,589,746,790,602,190,270,011,476,253,624,197,990,033,000,
652,269,505,149,780,109,346,056,571,025,032,205,714,822,756,310,643,463,545,
337,510,784,207,387,406,681,941,392,736,979,319,934,224,641,045,310,664,100,
065,201,182,444,128,049,800,413,253,293,033,664,879,110,303,577,329,422,883,
497,968,586,382,754,325,510,515,409,183,692,980,446,979,451,634,373,201,435,
911,959,728,525,926,986,844,919,197,558,555,370,233,795,661,314,118,331,125,
936,461,151,372,190,216,573,683,881,196,468,574,543,655,639,983,490,793,350,
841,577,677,846,289,651,203,119,021,932,264,480,359,630,644,445,190,603,529,
398,525,195,227,754,291,800,484,336,797,930,235,747,800,286,860,059,738,359,
869,377,053,335,984,781,157,099,360,293,433,896,335,641,494,337,171,057,456,
518,937,521,890,919,063,263,098,220,855,062,704,019,162,378,238,693,862,319,
362,139,146,406,324,959,341,827,442,203,926,496,872,577,828,446,797,431,965,
589,387,878,962,072,889,890,217,332,536,665,326,018,401,944,115,398,163,616,
493,381,011,283,534,172,185,850,704,807,526,613,463,825,937,115,008,779,672,
872,806,493,427,297,893,615,822,649,340,365,150,097,503,515,730,636,175,409,
487,906,303,674,602,959,277,452,348,837,069,495,056,898,725,101,840,673,677,
470,912,941,544,591,519,019,687,733,642,026,718,409,375,012,770,891,844,173,
689,976,343,399,966,669,625,536,796,558,861,496,123,986,719,832,968,261,178,
741,765,594,128,639,004,072,956,141,942,961,264,826,895,750,764,116,368,718,
526,903,556,838,220,466,093,463,394,811,215,903,382,288,650,045,807,297,910,
554,316,411,099,310,275,014,239,752,652,856,626,654,323,793,447,939,128,872,
834,683,814,767,511,720,006,543,270,470,678,094,034,835,191,723,218,410,382,
805,101,617,402,029,059,802,945,654,108,456,100,185,932,700,328,333,186,575,
462,493,801,959,157,001,886,434,904,353,310,030,284,417,499,198,570,586,571,
774,443,125,794,780,614,838,871,841,392,824,426,035,364,028,655,705,007,380,
584,628,512,615,113,338,635,892,479,830,742,933,898,772,669,130,538,626,312,
322,936,490,964,507,665,330,330,824,304,750,034,914,576,500,594,096,060,837,
327,224,572,823,847,852,578,102,567,854,565,459,776,278,048,002,560,567,870,
013,168,265,085,573,677,933,103,002,835,457,446,677,784,410,521,068,011,583,
247,785,006,759,426,062,935,844,711,357,445,340,090,479,121,846,339,525,398,
097,753,640,779,781,430,600,161,620,898,856,792,480,791,887,291,486,116,018,
520,652,775,986,336,753,416,435,289,993,339,758,817,201,803,988,804,979,193,
505,183,456,113,532,146,829,354,757,472,179,877,593,542,197,182,990,597,117,
142,352,649,166,553,106,693,391,537,866,199,236,531,133,609,802,246,541,649,
961,317,182,733,398,487,646,243,394,269,453,603,054,038,446,218,922,872,177,
499,564,544,479,904,041,388,309,335,545,612,285,834,437,388,598,978,339,472,
952,284,046,357,808,479,885,771,774,395,275,105,275,434,634,619,295,518,117,
470,356,327,036,874,625,467,116,483,569,172,355,978,138,721,382,974,191,555,
633,084,052,756,491,074,749,490,180,927,780,307,403,986,719,167,999,677,879,
384,971,497,176,740,733,869,146,021,761,358,292,889,621,530,012,170,068,980,
618,510,492,053,222,217,320,068,515,000,087,602,255,122,338,363,810,343,905,
731,738,063,157,925,816,552,021,117,414,871,954,480,930,808,421,652,245,197,
923,127,173,475,205,832,130,894,688,211,653,721,897,053,216,082,758,906,990,
180,021,183,249,411,430,769,697,088,600,178,959,284,370,346,516,599,458,783,
958,626,399,513,289,070,191,187,062,559,630,219,605,993,943,933,870,566,045,
655,659,508,940,039,287,368,422,556,732,034,547,671,117,638,819,060,991,017,
424,224,004,619,573,215,971,523,474,143,310,210,082,367,237,538,208,416,149,
470,618,298,926,416,956,373,633,598,402,846,686,651,018,952,944,846,849,725,
856,273,007,553,026,444,024,625,419,997,375,037,648,033,505,943,828,831,963,
078,586,744,805,258,504,921,321,137,510,185,921,932,544,329,298,434,421,849,
817,794,092,590,627,661,729,488,499,368,714,506,052,762,720,820,952,451,812,
432,805,518,659,454,869,363,490,313,110,721,658,516,808,693,202,838,516,807,
197,039,871,391,036,061,009,969,712,091,044,194,645,591,223,125,009,260,383,
829,091,179,503,544,696,362,635,005,032,672,190,625,965,291,853,871,461,489,
491,284,137,216,069,566,123,847,656,803,163,163,890,093,603,083,060,010,317,
215,889,644,197,271,180,441,014,306,816,478,119,934,692,963,399,202,528,392,
009,266,555,175,419,427,905,404,804,857,514,880,161,921,948,987,890,868,850,
393,197,339,023,768,684,979,181,590,717,893,091,724,493,224,181,182,646,973,
442,343,476,615,322,096,329,033,488,682,928,028,892,541,094,535,082,319,526,
638,180,788,057,715,143,273,907,759,604,671,601,039,475,619,945,635,143,326,
266,054,834,362,247,921,253,763,482,959,900,313,627,400,778,833,017,952,369,
231,704,953,746,779,902,869,966,257,056,260,089,679,040,600,216,496,473,358,
614,554,806,908,476,314,380,355,964,834,992,323,271,889,013,289,897,233,765,
081,206,944,513,103,093,183,567,630,236,667,861,935,840,216,220,396,334,486,
354,690,158,274,917,618,134,383,001,005,910,409,739,575,802,564,075,432,952,
004,870,685,635,149,791,289,888,000,327,195,622,242,900,054,243,814,378,724,
680,013,154,030,183,090,432,079,921,421,068,548,276,616,289,813,769,527,396,
418,097,346,025,124,842,691,727,477,436,604,166,228,580,025,135,827,911,732,
534,587,170,975,941,166,953,914,611,145,161,179,378,820,315,950,124,952,776,
310,035,881,861,735,841,990,604,763,028,210,046,633,531,156,712,477,204,084,
521,770,605,817,902,149,682,257,357,932,864,643,578,209,541,795,599,886,337,
254,317,269,072,370,207,563,759,554,621,858,333,839,458,212,065,318,447,886,
153,805,093,018,057,695,286,702,056,014,026,404,176,564,395,324,873,457,147,
472,690,415,973,655,875,020,362,942,266,764,819,725,200,639,458,817,918,920,
164,356,037,042,264,536,985,556,090,087,081,705,407,438,109,619,383,534,932,
366,348,677,659,983,797,003,452,136,608,156,192,993,884,613,334,659,685,757,
572,150,686,645,101,739,179,953,237,520,260,682,227,022,239,063,371,166,988,
775,587,877,871,947,982,817,858,064,117,009,539,634,943,847,254,689,476,985,
331,775,382,829,350,492,574,857,994,372,818,088,919,108,948,989,052,873,781,
934,018,798,452,984,230,388,392,473,218,216,648,523,034,086,402,944,139,324,
025,752,040,694,865,964,318,227,339,909,399,443,552,918,725,831,730,967,313,
837,842,223,369,100,535,601,044,209,184,378,474,241,209,085,042,590,015,284,
187,964,967,935,059,804,804,179,055,383,607,604,183,718,162,764,742,105,236,
860,012,648,449,156,139,198,290,378,524,423,096,127,022,875,275,568,225,525,
140,626,611,487,059,371,876,313,551,939,569,536,462,157,652,606,467,989,102,
370,412,547,054,582,616,264,842,621,415,798,412,716,639,695,447,593,370,821,
674,613,544,272,939,221,179,600,614,993,462,514,481,876,800,088,967,924,778,
357,726,400,190,551,772,443,947,003,586,519,300,045,471,872,776,926,631,903,
985,180,787,120,188,050,419,161,291,024,685,645,831,201,705,880,563,969,340,
300,019,531,861,456,704,241,320,305,681,642,689,374,897,713,221,317,635,428,
721,581,880,182,278,322,526,621,380,452,879,043,246,816,592,044,049,743,780,
113,025,102,506,238,248,965,984,943,604,320,038,677,455,754,431,464,831,797,
622,513,792,483,596,422,135,358,066,241,026,093,310,093,354,733,586,058,421,
597,507,633,688,631,975,439,756,274,191,981,884,405,988,217,345,125,762,696,
195,930,375,808,384,627,814,717,478,715,041,077,441,615,131,850,301,932,139,
700,499,648,629,761,043,435,599,131,949,032,143,827,296,778,814,618,558,251,
698,916,910,864,782,658,676,275,195,755,178,404,212,178,386,406,640,747,157,
544,575,636,204,420,387,784,355,268,899,301,481,676,164,017,081,074,548,248,
531,492,170,027,703,730,419,439,797,925,156,924,233,168,130,452,191,674,237,
790,863,143,537,545,465,698,371,145,849,675,573,242,263,699,323,737,123,858,
780,483,694,454,132,540,111,368,374,774,513,530,760,066,835,780,836,363,249,
190,032,950,824,807,925,815,415,141,265,957,748,880,237,105,738,953,217,001,
164,515,391,521,015,079,440,413,383,304,718,088,253,105,089,579,528,573,342,
806,755,788,485,917,834,084,044,396,425,958,787,868,710,727,480,843,466,268,
853,187,685,231,124,438,757,151,901,059,796,626,369,036,317,182,672,910,318,
865,961,507,612,843,931,971,585,490,765,595,113,060,839,273,594,849,215,775,
150,178,248,141,228,975,602,612,577,454,188,500,596,337,423,664,920,001,289,
104,479,523,418,646,934,368,002,245,905,274,733,822,533,032,037,792,556,380,
117,727,578,904,674,984,522,342,124,702,417,415,588,457,902,053,820,288,692,
826,291,797,902,761,516,657,460,261,937,339,267,629,874,486,469,666,918,932,
689,327,657,901,891,979,188,597,180,378,894,094,955,850,588,919,557,028,562,
970,655,966,529,163,638,359,481,122,177,439,243,139,743,690,611,607,955,122,
583,829,890,141,349,646,174,818,601,723,324,432,443,795,054,646,627,684,463,
373,462,756,695,271,316,411,708,327,512,268,796,714,818,106,630,387,815,246,
017,136,102,142,084,275,412,585,870,373,884,236,996,671,538,461,039,561,017,
275,020,904,481,178,441,934,782,360,617,582,445,267,179,504,475,763,411,026,
604,018,990,819,311,823,537,823,147,285,479,314,001,913,168,556,909,493,266,
389,724,938,343,614,552,134,420,247,991,831,666,066,998,494,400,502,685,001,
303,067,543,218,884,748,832,942,577,957,277,814,479,819,864,310,059,333,100,
473,633,820,506,012,687,776,177,111,378,572,010,303,183,001,321,400,133,497,
485,210,636,666,558,195,963,707,104,675,487,054,360,517,699,686,745,339,448,
424,586,111,277,197,577,906,012,218,414,016,174,563,569,259,493,816,792,837,
773,126,551,167,360,620,445,929,784,509,745,894,113,033,154,250,832,910,315,
757,745,362,935,137,788,625,410,857,736,644,379,044,918,073,370,823,257,248,
951,390,733,176,213,524,602,333,087,655,530,185,901,227,037,235,912,030,516,
110,399,952,396,173,433,652,131,886,276,256,697,877,613,852,884,789,195,660,
665,162,053,124,487,504,314,110,951,857,793,536,467,636,695,096,108,693,772,
278,266,926,766,421,669,490,038,377,265,102,505,189,999,393,591,176,789,408,
370,400,101,187,015,475,754,695,719,525,562,257,888,467,049,405,445,655,771,
553,011,985,733,302,119,461,282,932,202,041,793,463,822,543,736,114,812,091,
985,802,616,134,585,309,599,928,251,587,118,509,787,335,220,849,246,607,686,
543,456,689,718,598,641,880,286,270,412,650,081,720,199,123,286,580,884,492,
695,564,205,922,688,558,685,932,949,669,444,663,332,671,246,456,814,460,758,
224,578,322,225,422,028,427,141,346,618,767,036,587,597,886,510,790,158,364,
246,145,979,138,315,688,384,623,453,477,577,600,052,938,678,054,353,476,482,
670,609,598,833,433,550,179,831,456,292,907,510,161,496,077,678,628,672,368,
714,361,637,126,491,809,356,770,261,136,460,037,914,287,763,149,624,908,524,
720,031,790,657,978,045,413,553,840,818,014,957,934,716,612,372,482,531,733,
632,899,987,414,084,450,898,816,841,136,123,928,361,195,423,333,166,750,586,
249,405,073,673,885,488,134,396,154,761,520,830,237,667,872,242,984,889,619,
029,553,982,836,785,286,879,995,554,402,405,964,240,146,156,569,272,121,418,
915,106,778,294,903,931,420,587,535,913,434,921,855,208,222,374,766,065,487,
803,736,539,250,913,785,364,059,874,732,603,488,297,920,390,901,675,667,557,
833,572,537,734,592,669,922,187,594,337,762,014,068,965,424,864,623,686,158,
402,495,882,354,892,585,736,230,194,921,408,573,972,042,295,886,905,182,936,
295,877,674,120,123,017,523,113,645,022,682,916,364,821,772,629,595,205,958,
144,043,757,283,657,483,458,042,944,020,719,033,134,918,082,452,397,869,420,
335,953,821,180,779,834,703,187,147,397,276,123,599,808,944,195,234,708,421,
783,025,342,614,993,462,369,525,703,817,909,839,427,044,728,516,009,439,807,
708,304,556,617,929,968,151,720,117,076,055,400,220,791,976,703,575,616,684,
470,709,001,695,929,345,604,697,468,652,596,085,487,605,460,656,053,168,778,
076,117,204,179,498,303,840,790,710,955,277,639,196,414,858,916,631,563,768,
833,285,809,436,995,705,348,565,829,893,645,445,831,849,205,637,760,514,158,
817,160,558,591,011,944,130,496,615,390,859,661,621,721,636,601,410,209,309,
577,136,569,572,810,275,975,754,091,392,642,624,952,108,083,022,098,483,984,
102,037,666,083,975,376,682,973,276,074,428,680,271,103,635,878,160,684,050,
813,525,020,065,666,975,411,024,361,551,326,845,887,121,512,578,426,043,590,
716,292,700,264,705,109,305,275,658,795,801,943,155,594,257,669,585,472,448,
488,535,722,739,259,641,448,142,409,602,189,819,551,319,898,750,045,255,290,
878,786,709,520,461,511,630,436,708,536,971,052,790,875,188,292,036,958,605,
718,332,733,594,814,479,326,158,621,272,170,358,984,878,719,716,171,248,638,
339,875,917,986,708,916,604,482,061,191,469,166,345,773,512,287,307,147,030,
094,276,695,737,682,048,349,030,390,637,470,518,661,491,771,160,407,196,805,
120,524,235,054,225,982,523,770,121,115,350,804,624,550,355,225,564,227,242,
159,856,729,580,679,469,511,928,935,263,180,155,845,065,511,440,187,384,094,
917,433,568,536,955,694,262,615,271,793,272,954,765,238,194,959,366,195,320,
591,313,906,492,830,549,725,855,868,683,198,638,272,159,583,605,232,913,859,
911,439,997,376,699,813,711,002,751,542,466,244,839,172,558,001,373,077,540,
991,626,288,644,171,137,775,510,880,956,900,100,734,878,073,927,250,796,153,
495,375,154,937,283,118,418,089,343,545,074,160,049,642,000,772,675,025,597,
546,266,147,063,832,449,120,720,042,470,711,991,668,649,619,229,928,941,936,
862,244,169,219,847,733,460,925,640,129,198,896,150,157,737,357,426,055,909,
425,208,232,042,471,471,431,282,801,287,258,743,514,651,431,845,291,605,810,
896,039,828,249,679,904,405,894,531,659,145,349,370,984,032,159,009,583,675,
866,959,974,956,551,065,871,912,557,791,629,062,208,197,458,842,092,764,874,
655,318,414,291,502,616,067,286,618,760,739,713,091,172,628,380,498,464,557,
698,067,762,902,758,459,489,712,699,031,418,455,418,056,465,980,177,485,619,
011,003,115,584,978,782,598,399,686,969,792,613,015,369,860,654,416,010,019,
519,869,675,673,042,676,119,743,506,572,514,001,483,414,203,291,250,366,106,
618,576,001,219,231,299,439,677,677,723,288,379,791,090,382,314,235,153,604,
174,070,294,575,527,186,646,773,199,744,285,949,489,436,275,073,601,716,428,
059,017,862,996,530,022,191,289,956,985,032,065,458,151,774,721,049,187,495,
801,607,761,826,684,188,020,781,402,593,889,687,992,500,390,021,502,245,365,
946,016,607,216,465,870,602,616,293,740,047,446,636,193,598,175,292,283,628,
970,993,755,819,504,989,758,520,501,594,204,616,703,239,465,658,979,267,757,
655,939,906,193,578,697,463,092,975,399,235,129,713,781,075,690,384,692,411,
346,455,164,819,125,751,369,300,728,592,968,825,806,175,605,196,161,617,409,
307,432,700,265,069,106,206,104,507,675,863,287,650,079,739,352,824,247,274,
564,939,217,688,736,120,247,154,067,292,124,741,751,197,787,586,854,019,191,
512,876,390,789,055,403,233,719,947,348,699,717,474,331,217,912,233,799,325,
015,905,185,117,471,737,790,537,607,891,067,791,718,442,150,255,402,225,761,
238,932,297,504,924,103,008,983,762,266,218,284,442,682,788,523,214,962,934,
531,316,169,622,045,910,012,713,720,430,850,083,506,875,568,418,659,550,691,
610,353,541,588,471,599,233,933,069,177,015,492,775,670,136,285,574,453,192,
531,943,604,190,943,900,098,071,074,540,422,709,132,704,673,947,161,358,479,
030,867,532,813,848,521,873,147,801,576,041,315,427,741,324,663,042,499,617,
380,972,965,465,092,887,073,268,873,789,018,460,784,206,158,908,456,866,947,
487,898,088,002,115,550,850,031,353,205,318,920,837,467,022,696,088,874,735,
409,985,594,359,971,174,828,008,538,063,063,699,945,233,601,390,893,852,413,
423,793,057,317,964,676,483,959,512,496,443,283,364,976,911,717,929,911,087,
223,239,451,942,033,705,921,400,702,677,295,891,891,235,761,337,250,581,767,
341,713,493,722,798,361,067,176,894,122,494,878,367,627,003,378,253,239,383,
252,083,622,038,909,103,315,585,375,027,639,527,101,833,039,770,015,799,065,
220,671,275,144,106,855,292,459,775,005,242,998,323,775,142,615,202,622,830,
367,172,450,757,431,323,371,164,694,411,802,472,564,135,508,689,798,862,762,
300,746,839,504,037,271,561,907,914,304,109,482,788,400,247,966,100,597,069,
607,449,120,853,763,406,991,543,757,089,342,891,269,832,892,753,485,191,246,
145,194,172,731,892,636,003,723,288,569,469,540,513,827,581,231,422,755,127,
335,140,576,078,859,713,098,877,988,526,826,556,694,683,529,894,106,461,332,
075,620,590,407,136,640,239,910,533,621,673,659,839,694,247,662,886,797,350,
074,045,555,440,058,655,716,350,650,384,572,852,153,163,166,426,540,591,245,
377,058,101,559,030,186,827,799,497,246,260,889,651,199,652,821,764,055,560,
853,535,880,951,460,165,447,230,481,407,808,913,710,329,482,609,682,444,171,
687,203,194,088,803,637,224,915,818,773,316,375,651,410,244,379,309,661,997,
304,260,534,564,166,811,400,199,464,340,169,736,219,309,674,967,397,983,307,
406,035,045,420,419,815,106,545,425,552,423,593,797,933,270,220,032,557,961,
434,604,638,744,466,134,401,409,933,995,786,537,392,373,533,378,672,997,049,
992,577,951,200,865,662,745,767,494,742,649,038,106,800,437,736,544,814,608,
559,639,630,883,519,362,486,341,124,258,998,008,761,290,687,676,958,604,999,
015,842,100,558,287,519,371,002,452,804,478,201,929,817,781,451,179,146,135,
567,424,050,280,107,763,430,892,851,792,974,069,438,993,555,325,570,605,846,
994,775,001,095,600,828,624,311,979,369,630,644,727,128,585,154,326,658,078,
010,712,981,877,026,189,912,698,166,241,949,232,074,833,396,461,535,203,749,
181,039,540,074,620,797,305,733,033,990,878,790,903,719,599,359,900,770,952,
146,862,516,681,198,893,602,021,386,934,458,119,745,952,260,667,608,502,114,
971,311,507,149,603,151,992,265,685,232,064,319,896,090,275,820,824,665,224,
520,579,295,075,856,993,383,866,845,972,163,506,228,054,982,212,933,744,786,
869,872,487,070,104,739,549,408,726,123,550,084,810,497,938,769,535,495,813,
126,943,005,508,092,843,138,247,058,832,690,603,122,218,280,599,601,434,385,
463,049,446,866,293,237,318,302,313,747,341,874,676,502,852,589,714,807,371,
967,591,863,622,412,964,893,910,441,507,662,236,898,088,398,136,239,505,804,
228,124,492,295,796,751,438,908,593,527,615,030,131,050,747,231,200,627,271,
529,358,011,459,715,154,022,438,142,746,751,707,501,712,241,569,116,588,700,
121,919,619,623,199,615,217,702,327,611,174,316,760,860,855,696,165,017,931,
149,909,428,297,216,946,871,634,488,487,963,813,596,852,811,420,649,102,823,
921,341,929,129,713,689,481,756,456,916,838,992,002,336,642,132,231,440,091,
551,149,054,956,285,859,630,834,441,304,569,410,497,543,582,917,407,459,957,
185,214,031,817,073,855,197,993,226,153,238,909,383,868,798,495,838,496,632,
016,818,251,301,703,183,233,379,202,589,814,043,846,319,026,619,257,634,392,
482,572,582,225,904,878,710,140,774,834,422,648,228,000,013,945,799,078,284,
160,249,067,372,233,723,782,430,573,338,853,938,223,221,857,374,823,748,903,
620,435,671,638,262,861,949,593,853,358,379,521,108,722,923,439,194,157,231,
471,467,713,282,913,227,969,313,320,107,548,778,739,672,517,886,891,995,813,
066,280,248,821,069,879,430,198,139,908,454,501,027,703,932,488,818,746,565,
421,382,392,772,043,674,015,282,472,710,362,503,755,834,379,649,438,684,285,
016,780,605,972,721,028,740,654,127,116,669,842,184,009,357,892,876,102,558,
672,843,905,067,501,511,784,333,313,770,742,485,520,779,688,308,000,612,006,
047,171,933,283,204,380,912,602,234,407,351,647,150,431,075,505,677,980,077,
700,711,048,890,188,143,651,464,150,391,532,673,057,537,802,229,488,634,666,
309,440,123,107,796,909,318,480,836,377,539,253,452,955,094,483,832,571,001,
346,075,533,815,464,056,333,602,724,465,136,824,110,800,848,394,078,847,973,
974,908,042,783,053,143,847,568,169,307,755,320,604,062,040,669,612,894,718,
483,667,608,648,765,410,750,943,213,223,680,036,083,929,874,752,115,085,627,
960,435,162,966,717,043,689,118,283,492,980,507,989,098,269,079,155,507,944,
346,481,494,912,337,285,329,864,240,256,616,648,193,498,417,921,398,358,477,
721,013,606,061,049,304,771,981,502,028,841,848,701,490,285,877,073,269,256,
909,888,917,027,472,070,124,462,477,719,333,573,749,461,672,846,522,341,636,
879,905,892,840,545,437,428,900,430,215,672,145,844,771,922,182,644,955,430,
630,064,390,465,356,456,425,016,202,638,876,062,038,097,947,969,172,865,639,
774,039,341,980,274,059,015,538,903,233,104,864,722,429,600,799,685,956,045,
651,836,294,888,790,702,091,869,453,170,824,216,408,405,398,671,525,575,789,
790,901,847,996,476,313,556,621,257,440,129,569,595,859,639,541,262,908,745,
993,575,488,407,560,783,052,654,805,296,178,393,373,714,655,605,702,208,645,
193,778,477,342,046,518,469,898,324,111,469,290,382,164,104,402,825,838,780,
973,828,741,573,645,143,323,600,513,443,056,504,476,646,307,407,077,716,484,
146,738,148,295,613,083,611,798,642,038,444,138,475,651,001,412,862,193,192,
496,592,091,798,744,271,316,769,858,508,700,523,392,783,432,911,272,581,532,
793,895,616,465,252,623,787,499,035,200,017,810,255,149,124,239,917,107,105,
593,705,507,205,602,318,579,461,658,289,953,640,283,842,865,636,972,460,345,
987,360,221,649,608,974,472,524,874,334,643,728,217,003,476,031,968,524,613,
811,565,608,331,099,069,238,884,537,930,723,367,984,507,009,051,113,451,135,
155,190,055,795,690,869,422,146,630,128,429,535,964,868,522,494,002,315,832,
073,399,664,704,946,800,435,539,130,159,560,428,262,766,542,788,859,428,319,
370,465,089,857,858,657,542,592,702,172,864,925,827,661,388,234,640,749,905,
091,892,452,630,579,061,578,649,068,156,420,420,859,639,296,353,912,812,732,
099,440,125,994,398,885,021,625,385,635,224,472,834,978,794,616,427,744,070,
980,488,541,235,923,034,607,705,111,804,417,412,818,678,634,437,209,667,983,
835,049,441,286,654,582,268,760,671,168,167,268,746,474,957,321,632,109,004,
174,692,236,849,148,793,227,686,639,367,215,280,476,996,099,555,889,993,344,
015,106,982,512,836,921,126,962,308,018,870,001,985,087,522,031,767,119,657,
715,449,586,924,297,759,447,024,828,382,022,020,443,339,507,026,360,302,141,
128,426,559,585,956,345,266,057,674,519,116,266,540,225,427,411,958,686,111,
394,566,711,011,978,842,345,398,836,192,148,473,256,713,937,068,885,162,105,
823,884,749,100,584,444,466,396,733,751,783,688,854,550,598,753,071,213,240,
155,432,742,933,066,775,099,914,335,130,803,057,231,561,251,065,532,360,944,
494,554,649,670,532,864,714,884,388,851,863,239,350,850,469,015,218,349,528,
480,224,235,496,063,843,411,794,933,256,418,742,761,285,135,181,083,428,806,
619,733,602,178,101,560,343,263,318,428,129,450,314,553,827,355,378,332,451,
049,114,474,766,231,581,672,953,945,010,333,639,944,079,180,830,935,871,925,
752,050,229,208,735,509,151,725,032,439,263,461,940,571,819,872,135,830,998,
024,705,874,105,970,221,640,935,976,933,203,250,073,214,894,304,531,277,034,
414,821,508,143,503,904,940,149,515,838,662,369,969,044,398,733,622,235,717,
216,499,413,933,802,682,540,557,966,990,811,788,558,119,828,207,370,199,884,
329,579,648,974,971,978,974,580,355,630,459,701,375,784,879,570,246,077,626,
893,720,374,328,689,069,061,511,477,112,146,482,379,203,565,603,744,413,108,
541,052,341,528,314,520,282,234,031,730,357,657,748,636,629,053,492,659,540,
014,152,664,756,824,286,607,038,183,024,275,623,772,691,118,439,729,344,767,
630,500,095,931,220,186,320,539,395,792,434,544,572,292,807,354,203,743,326,
846,379,781,654,767,346,121,302,689,826,201,635,894,480,673,733,341,586,811,
641,184,208,340,492,346,269,008,084,081,333,539,220,239,941,328,824,078,633,
900,666,494,847,669,271,158,080,304,642,400,084,892,587,242,525,156,853,687,
789,014,979,087,402,017,066,620,888,837,448,576,534,287,452,928,798,483,790,
933,843,908,470,249,870,781,351,127,583,253,566,467,953,335,352,912,051,328,
594,965,679,107,470,523,725,564,390,764,993,362,730,721,038,697,342,056,313,
707,592,238,736,780,656,212,182,031,961,722,583,723,998,564,793,934,910,093,
675,872,075,367,172,056,121,125,910,792,689,076,316,935,467,988,421,389,926,
211,952,790,230,386,253,360,471,582,969,686,770,607,564,877,491,554,507,441,
660,402,118,857,531,065,668,468,723,149,365,754,298,130,155,065,376,377,907,
949,894,693,229,589,166,804,683,759,711,673,930,782,030,996,164,648,062,033,
382,981,306,960,844,342,495,042,858,423,739,806,041,617,510,152,520,042,554,
459,413,244,036,907,108,637,326,497,850,389,905,777,194,609,836,599,900,191,
263,070,942,728,670,778,504,740,239,897,155,314,404,063,278,118,209,388,674,
551,059,190,624,866,615,255,059,326,210,146,360,016,685,477,028,831,820,673,
971,734,903,823,579,349,832,365,838,234,814,050,667,559,738,346,133,699,479,
212,485,406,574,108,542,638,174,877,712,762,485,093,634,206,547,558,277,106,
011,947,374,491,332,628,430,070,488,720,711,724,215,488,104,003,561,367,523,
995,796,987,709,762,107,803,111,707,891,930,492,890,115,878,836,701,887,070,
302,123,835,323,804,079,058,335,158,520,493,578,995,414,844,967,735,916,550,
164,827,790,191,245,621,239,054,555,408,027,517,214,078,177,882,687,564,965,
825,598,953,256,441,727,059,044,560,944,559,974,776,431,749,457,091,342,388,
556,805,195,257,445,665,486,564,628,101,574,689,005,309,901,655,239,572,756,
151,507,220,489,350,941,323,718,692,789,384,722,236,140,723,401,438,782,038,
580,723,450,362,246,648,830,034,121,942,455,750,843,593,963,540,243,200,425,
468,142,834,003,425,403,887,348,592,798,311,226,666,460,886,034,173,087,682,
653,108,683,673,763,738,078,023,530,975,071,868,844,324,783,580,889,176,971,
056,585,376,632,374,729,369,109,721,451,188,065,632,587,036,411,813,604,097,
053,901,005,226,086,754,582,108,441,921,989,477,173,574,389,335,770,138,700,
637,993,732,661,676,273,623,928,677,555,913,460,295,722,032,023,106,375,843,
431,635,970,022,454,247,386,610,065,440,996,739,026,631,486,182,061,939,910,
866,248,041,167,867,606,708,543,368,575,612,432,304,900,766,912,210,333,226,
071,625,326,919,614,300,350,610,695,637,383,834,607,340,194,225,122,660,491,
494,555,277,338,817,701,921,223,248,003,381,412,561,975,063,805,070,871,170,
589,996,637,038,056,112,097,023,600,231,446,316,247,017,921,374,735,914,186,
296,214,655,834,462,473,527,172,245,796,682,721,488,048,729,634,656,711,755,
197,714,102,135,223,035,501,732,777,120,323,285,857,773,192,289,418,735,171,
760,691,995,418,535,460,668,977,432,300,022,952,449,232,903,029,351,884,536,
195,177,377,825,814,077,959,822,758,754,040,551,596,324,474,819,689,157,564,
212,358,272,834,750,043,127,325,422,691,801,186,338,971,429,933,159,881,776,
136,883,967,742,500,108,599,401,292,609,678,260,119,800,619,073,546,858,159,
150,771,281,056,006,295,136,364,996,339,747,511,500,077,629,852,551,519,265,
384,812,718,303,367,957,541,868,462,625,391,153,250,458,354,408,069,477,528,
532,809,787,199,313,494,532,456,414,737,516,563,015,503,440,767,351,903,396,
663,858,871,111,613,391,875,472,061,035,390,242,855,844,531,585,556,938,020,
465,166,742,967,878,488,953,477,287,964,362,212,990,141,606,381,079,003,552,
095,962,295,404,780,146,353,021,323,825,436,238,154,223,566,587,936,589,791,
765,004,163,279,661,780,139,679,546,080,649,932,468,091,787,640,895,287,238,
480,852,248,931,019,111,891,051,956,742,754,351,988,912,852,838,602,911,562,
621,207,145,719,808,571,884,925,248,643,972,504,968,163,868,166,944,360,195,
081,878,012,366,328,812,979,587,842,744,316,224,564,657,483,952,798,129,470,
464,046,127,091,927,189,560,681,407,166,843,027,847,270,734,767,927,697,309,
657,058,170,782,738,667,300,567,570,561,643,420,083,333,755,056,153,194,598,
057,284,559,825,069,146,304,247,641,662,038,273,054,562,039,665,827,848,059,
237,210,635,791,547,420,061,042,567,993,231,379,979,993,843,617,454,008,921,
603,290,118,012,888,473,538,536,961,915,270,573,477,894,348,125,953,872,180,
208,548,194,662,881,913,687,951,425,714,319,623,347,030,297,951,123,244,332,
133,983,637,223,867,041,224,047,483,353,787,923,134,414,987,126,881,186,372,
075,994,772,391,634,284,274,941,108,627,020,211,152,098,190,141,823,094,783,
230,860,940,825,151,376,514,079,017,755,252,398,958,197,562,882,515,897,229,
695,339,186,325,486,272,301,849,184,773,725,925,876,442,500,811,052,140,961,
027,423,883,960,148,675,866,962,003,515,281,253,382,428,743,319,296,234,181,
322,313,253,610,484,467,629,714,191,665,113,879,923,684,213,739,531,354,428,
938,570,432,191,541,380,773,535,349,638,336,933,881,640,794,159,952,489,309,
624,276,007,594,263,071,081,163,277,595,734,788,814,422,985,936,837,409,662,
342,918,916,955,391,936,711,386,020,875,636,314,913,246,007,209,942,287,291,
273,257,744,616,400,885,506,871,830,180,355,862,080,256,843,499,803,397,676,
436,622,195,469,255,487,093,828,158,353,046,096,425,891,951,027,827,285,808,
619,148,079,348,947,145,712,360,424,377,060,167,225,866,902,687,185,850,666,
284,899,902,689,154,623,403,939,441,988,641,995,485,673,468,934,203,490,043,
861,085,323,082,041,644,600,471,086,667,006,024,487,760,405,450,261,395,896,
437,072,904,896,395,882,796,606,473,681,092,517,589,008,959,142,456,518,504,
135,836,719,030,052,848,861,807,078,937,599,591,561,694,524,706,619,323,914,
036,544,305,567,776,005,066,053,195,657,825,905,630,063,678,578,762,179,152,
608,079,978,412,578,953,592,231,235,864,056,663,393,240,595,591,669,194,335,
223,144,440,718,912,049,767,021,654,507,026,890,147,635,380,236,379,854,522,
559,198,651,730,586,226,472,479,111,945,754,170,323,768,452,493,391,209,990,
490,531,984,033,958,084,175,084,582,979,080,395,253,465,147,069,528,958,663,
779,549,568,715,121,377,076,565,313,677,945,782,344,928,958,405,423,233,799,
983,947,988,966,498,775,571,842,997,165,323,832,304,974,487,554,170,013,849,
896,084,673,658,726,814,941,735,726,693,003,341,683,813,209,427,477,807,053,
614,929,861,064,966,548,633,481,291,812,792,069,823,363,593,686,298,224,674,
616,723,307,955,558,487,138,178,745,948,469,354,535,984,548,552,457,996,314,
050,428,258,884,153,461,074,379,674,154,275,629,005,746,600,296,047,064,936,
088,149,519,341,076,892,930,256,413,450,856,612,113,657,904,798,545,008,680,
926,999,384,996,072,333,144,739,401,342,672,588,479,813,158,735,149,951,928,
050,838,073,249,129,093,526,458,385,111,136,057,659,334,542,898,632,184,134,
525,729,227,577,247,947,686,324,782,492,889,662,431,381,606,516,113,719,789,
762,226,676,452,516,034,399,627,603,820,712,928,255,406,274,925,671,009,099,
681,546,168,864,325,409,543,050,429,421,674,048,529,940,248,150,927,127,737,
494,511,984,709,134,111,129,645,780,637,227,839,248,802,512,029,676,627,799,
012,784,845,385,080,580,296,229,182,043,879,373,020,768,640,424,846,286,232,
920,569,142,552,220,836,448,191,615,787,852,572,022,019,294,123,904,329,833,
271,595,759,853,276,283,536,426,045,580,875,043,361,347,770,932,248,951,844,
056,343,524,727,437,048,409,927,757,856,037,060,005,418,650,791,452,866,062,
841,510,981,848,554,357,069,504,929,150,357,458,434,075,061,852,898,604,231,
383,115,156,799,760,614,212,763,822,476,605,963,770,873,465,841,572,365,602,
386,451,785,133,612,558,972,477,601,219,800,421,632,819,881,498,088,708,680,
922,638,518,635,807,147,073,798,178,651,308,274,502,389,152,213,102,934,076,
620,781,508,402,805,416,251,461,592,343,816,663,963,314,282,602,353,158,138,
494,732,494,881,906,807,161,702,231,101,090,029,652,590,006,396,235,179,173,
104,622,197,729,228,633,957,785,209,650,598,751,606,366,106,863,505,429,021,
868,785,877,571,845,577,378,566,021,795,449,984,206,577,940,015,427,692,689,
538,806,154,443,070,673,619,212,011,734,586,927,628,566,415,048,576,738,066,
525,831,599,884,281,517,433,377,629,081,178,783,259,398,958,521,033,937,835,
915,243,883,691,718,416,549,397,185,231,159,071,519,274,489,106,157,224,826,
363,507,275,722,988,928,807,228,613,967,573,495,107,429,471,200,130,592,028,
226,436,009,761,350,008,710,600,756,400,458,932,344,525,284,107,863,375,093,
381,392,438,553,030,402,220,573,994,691,500,574,653,481,329,668,081,580,464,
969,532,683,200,123,433,727,833,098,311,795,370,857,407,922,976,798,228,777,
551,930,199,473,071,455,868,005,908,253,993,200,549,654,534,409,225,775,895,
744,611,460,790,053,381,737,921,178,448,221,762,930,265,763,546,876,392,114,
366,515,509,203,329,154,068,706,022,315,922,123,203,694,947,608,654,522,954,
894,432,424,459,690,424,385,193,530,197,219,129,966,818,438,374,088,298,864,
768,139,849,704,757,707,349,674,160,045,719,685,682,407,870,898,398,101,312,
969,179,966,583,748,245,849,909,608,890,984,464,826,347,949,682,238,214,086,
692,648,416,324,258,806,265,390,729,809,391,218,998,278,230,567,095,442,583,
877,972,344,240,911,856,674,622,798,946,154,627,958,388,278,888,046,880,611,
386,197,178,211,567,419,104,466,320,281,731,729,819,891,445,740,282,130,184,
764,928,453,633,749,923,620,225,549,634,146,565,943,740,496,855,512,175,434,
644,636,275,158,301,093,602,626,223,885,871,753,262,867,591,467,976,614,799,
646,634,749,763,988,036,341,776,015,649,689,597,761,811,586,873,082,654,548,
977,577,577,468,035,721,192,099,290,114,060,472,600,258,729,419,806,474,966,
867,532,707,415,872,350,608,080,066,154,341,525,882,044,560,709,966,081,051,
630,399,547,436,108,825,107,324,268,371,990,297,742,054,545,319,797,972,116,
277,351,364,518,864,414,203,231,815,163,477,923,939,199,795,330,841,177,965,
710,815,489,090,904,535,283,296,000,448,102,085,210,822,147,812,037,543,318,
918,489,562,803,115,211,377,662,781,154,948,500,331,586,676,491,542,508,116,
410,070,975,680,242,572,468,888,869,268,802,747,601,768,358,609,218,918,625,
415,619,434,135,707,522,248,749,647,234,527,266,189,243,096,735,823,268,662,
777,924,514,922,448,063,193,485,688,900,850,148,516,881,406,038,365,500,107,
395,138,910,690,058,569,535,534,751,494,918,002,905,963,052,949,379,679,936,
002,068,780,923,273,773,066,293,654,913,859,469,792,033,533,634,053,302,838,
915,005,951,687,111,157,077,934,444,594,288,406,093,029,817,969,541,982,736,
255,066,846,069,410,685,049,166,679,318,067,042,512,488,594,884,097,058,250,
208,531,337,286,986,981,061,817,857,684,098,776,436,812,930,142,018,996,968,
282,375,457,014,474,445,187,936,475,041,303,324,315,322,221,167,275,253,920,
509,845,001,119,886,306,803,819,130,242,658,710,380,464,575,487,875,649,704,
531,270,796,138,217,142,222,866,081,936,320,161,703,734,666,762,923,648,936,
450,428,102,678,010,959,055,655,243,192,338,437,840,021,122,447,807,273,319,
126,988,728,949,919,156,222,461,780,728,242,992,147,361,655,658,152,511,755,
273,126,000,932,764,211,712,559,017,187,756,490,963,115,730,337,146,976,352,
232,573,180,597,338,320,383,323,468,766,054,112,095,121,967,698,920,920,661,
376,834,521,858,667,729,884,967,417,239,855,503,564,373,796,720,991,837,705,
985,937,152,460,559,672,004,436,844,806,542,225,025,792,781,100,145,034,803,
402,167,833,632,290,803,668,283,718,775,575,798,220,294,186,074,385,222,518,
097,345,257,592,229,510,351,465,831,610,271,626,334,910,980,487,501,708,223,
572,455,052,965,528,211,238,869,815,367,101,521,376,225,432,316,843,507,134,
661,304,762,366,321,944,246,940,628,873,765,802,975,797,459,520,566,202,120,
634,825,173,630,676,389,319,002,816,235,515,810,713,746,043,421,225,298,139,
281,102,334,062,899,778,354,434,220,010,661,220,028,657,299,124,661,509,948,
377,710,890,521,619,652,511,578,219,115,938,889,715,682,087,160,158,990,246,
441,367,450,186,105,367,156,873,209,667,500,778,915,046,094,904,028,460,666,
927,341,549,061,244,750,187,281,066,529,635,957,611,624,607,159,850,361,364,
187,165,840,961,414,392,453,937,476,707,241,549,922,967,056,854,189,842,633,
867,231,608,513,963,384,302,259,486,209,875,345,559,425,229,241,051,431,127,
566,784,569,268,993,898,597,508,725,053,747,751,152,689,298,883,672,543,029,
293,630,692,912,324,793,815,307,062,819,642,182,375,616,609,108,714,866,902,
166,486,076,371,686,593,307,654,078,602,722,817,400,210,462,702,658,070,062,
525,103,844,161,912,460,029,650,705,658,138,103,270,243,360,872,680,429,693,
475,302,984,430,991,053,892,232,311,545,756,749,313,110,681,410,473,448,774,
149,547,386,853,892,081,589,840,662,357,849,224,675,620,116,560,365,067,617,
123,788,225,993,543,532,340,415,431,343,393,693,788,842,363,742,440,511,920,
289,113,934,122,565,307,107,965,266,483,656,581,422,413,877,736,211,556,807,
792,507,477,880,139,528,843,086,913,427,945,546,568,849,862,607,778,903,554,
969,793,608,154,868,204,200,292,144,411,853,170,230,998,512,084,988,185,567,
504,861,455,158,058,609,731,410,069,113,946,179,011,148,809,935,964,981,104,
443,990,841,067,701,240,236,046,620,669,378,058,048,960,169,276,954,232,012,
871,861,060,394,740,494,400,164,576,886,861,628,054,692,119,668,849,977,561,
313,405,207,040,546,294,081,835,739,206,558,763,339,414,462,061,619,879,197,
824,200,457,184,262,555,618,405,448,595,672,507,598,329,756,918,795,303,468,
397,945,195,469,462,432,014,640,132,663,340,957,149,614,125,181,056,521,195,
243,693,453,147,456,066,315,789,120,612,145,760,402,203,298,971,048,631,714,
160,002,875,530,074,255,372,948,912,889,086,960,373,367,104,822,637,384,558,
273,538,028,768,877,514,168,103,688,431,377,859,825,104,269,348,036,221,762,
539,204,344,679,336,780,581,844,011,384,824,038,668,613,208,676,723,942,985,
758,829,934,192,283,372,049,635,649,319,253,092,542,709,045,738,898,821,825,
218,014,899,881,472,084,088,162,385,163,087,636,496,106,430,942,401,308,531,
126,135,105,491,339,024,000,123,657,858,057,916,273,056,229,575,358,257,779,
944,137,483,421,793,474,802,119,547,562,460,499,050,129,935,453,694,333,584,
677,780,741,604,632,739,512,516,756,351,624,702,964,626,297,378,770,592,525,
105,702,609,694,143,347,998,695,062,059,311,891,432,021,524,848,216,758,908,
247,832,785,457,263,246,096,617,751,113,788,777,721,138,778,269,761,612,251,
971,183,404,405,433,415,236,221,141,071,133,704,331,522,974,397,738,488,124,
594,357,992,178,022,616,087,433,209,158,965,226,627,489,121,300,933,695,316,
501,686,916,711,331,905,548,720,524,631,403,303,056,390,149,212,680,219,563,
283,411,444,414,826,133,452,030,483,013,878,944,375,411,972,731,348,573,065,
195,050,394,583,482,446,409,078,660,412,464,710,013,787,818,310,123,853,722,
427,485,409,765,847,263,299,970,444,620,320,777,629,845,574,953,466,812,335,
845,832,179,565,463,427,664,959,108,981,075,628,285,606,477,884,006,080,501,
211,286,558,161,714,729,649,339,394,925,071,965,756,175,254,370,558,259,049,
577,806,084,074,953,619,504,438,763,907,140,892,213,635,806,973,022,429,568,
960,240,226,163,510,238,480,744,249,363,185,190,129,002,706,477,725,760,560,
855,808,002,724,955,396,393,672,165,516,239,513,535,091,590,148,725,577,384,
239,680,682,682,988,777,404,161,885,089,196,344,370,719,275,050,370,433,938,
810,445,505,469,194,770,278,452,437,184,400,417,512,220,329,247,031,114,423,
836,269,682,578,738,079,778,981,176,210,188,531,436,351,715,662,365,913,261,
744,714,251,524,403,711,833,949,172,603,375,327,453,122,409,296,165,129,433,
736,280,933,127,152,905,427,523,411,120,718,520,815,003,387,836,927,903,445,
891,271,526,747,782,160,737,873,660,679,761,927,688,756,168,475,275,156,150,
638,654,463,600,117,863,022,556,966,659,711,653,372,215,856,004,888,273,766,
843,809,950,669,680,061,423,515,194,807,832,469,690,894,868,015,984,984,202,
662,683,562,638,224,483,579,289,306,144,902,004,867,642,309,417,619,865,534,
298,959,142,998,529,978,936,737,040,615,327,637,130,290,951,855,937,656,495,
920,269,138,553,571,544,030,819,157,375,828,583,537,939,013,992,755,793,885,
613,191,827,977,262,730,916,736,535,696,726,380,086,328,399,761,765,201,573,
780,271,638,919,949,245,125,816,329,781,054,600,578,429,980,789,124,459,495,
597,230,781,190,632,807,060,106,722,412,740,950,048,627,926,222,228,764,778,
324,518,218,546,131,179,147,878,256,545,118,057,874,681,474,621,515,619,273,
425,157,786,344,644,207,755,618,456,813,188,867,341,420,340,478,451,233,837,
840,239,474,212,013,334,721,297,516,115,088,889,288,322,187,942,538,637,108,
349,774,738,218,112,219,731,634,616,855,254,715,501,864,346,663,626,146,231,
601,051,185,134,511,262,541,088,650,409,345,705,638,545,252,688,118,931,935,
014,180,795,678,895,112,368,660,858,432,005,972,004,792,362,526,523,026,007,
360,198,261,679,911,919,462,127,540,414,045,693,720,312,683,701,490,855,928,
729,024,022,846,666,999,766,462,208,718,695,023,015,308,448,374,363,686,499,
040,399,772,401,619,951,215,037,115,194,405,748,264,878,710,010,484,934,472,
437,310,421,654,024,561,776,406,503,175,206,624,711,734,040,119,017,786,041,
770,240,903,757,401,603,972,353,156,261,053,202,362,325,825,322,313,935,396,
692,449,477,322,865,734,708,884,764,825,479,915,864,982,500,904,701,945,102,
242,228,739,897,428,359,230,764,078,231,276,053,603,864,299,477,494,131,748,
811,345,688,605,921,791,962,385,229,454,282,208,562,783,024,440,473,394,371,
328,365,918,776,258,268,244,991,501,241,763,072,446,249,885,747,736,059,654,
087,168,755,626,069,905,429,367,283,412,629,826,161,267,678,024,373,880,214,
903,441,862,737,098,497,418,628,956,596,794,410,469,127,668,415,467,697,868,
688,611,300,536,647,339,242,333,857,467,340,685,218,216,465,585,666,472,824,
835,960,469,890,204,162,737,512,093,487,231,829,668,619,387,925,916,470,839,
763,811,891,320,258,671,080,834,014,113,050,589,733,931,591,732,209,083,443,
514,174,193,249,138,424,437,413,870,379,579,235,972,719,137,255,134,725,463,
000,226,964,364,285,237,339,167,497,965,195,945,471,818,452,261,340,687,085,
173,037,645,747,442,644,668,286,621,701,081,457,119,456,044,217,541,206,667,
225,799,494,968,039,510,028,331,347,297,782,994,435,305,820,217,417,098,019,
351,813,982,810,711,397,847,637,795,895,037,009,315,841,966,012,919,131,151,
825,345,009,299,152,833,018,175,581,998,788,522,830,275,984,097,326,116,720,
234,567,380,143,457,360,375,265,359,215,404,803,817,286,682,943,877,304,280,
181,175,844,435,609,894,502,646,443,572,501,125,680,787,631,180,322,673,626,
392,515,165,068,846,363,701,018,692,701,514,816,316,897,995,466,616,380,521,
141,757,412,764,607,930,037,537,443,017,705,270,310,158,435,683,408,922,931,
686,219,409,436,089,252,514,281,516,301,274,499,963,987,486,603,731,052,045,
921,864,038,261,360,887,285,786,248,870,441,178,284,805,561,854,070,916,699,
515,788,931,581,557,469,818,074,301,576,637,514,762,813,619,402,881,539,843,
403,785,477,434,659,701,422,329,471,776,004,203,874,117,055,897,902,855,794,
189,444,638,752,762,456,819,163,774,809,788,047,589,109,984,636,659,311,954,
597,066,768,831,524,243,199,976,966,176,957,309,274,010,659,980,712,196,900,
326,736,376,965,124,408,948,121,150,737,540,758,907,495,159,151,585,167,529,
555,957,950,240,667,503,088,540,417,995,469,291,152,147,680,679,503,573,071,
834,454,617,729,301,942,701,428,363,138,248,910,031,421,334,718,092,472,717,
441,119,662,222,564,996,694,385,021,046,058,432,877,205,068,706,333,237,558,
300,194,208,008,614,294,389,170,230,844,327,006,648,734,941,951,357,546,842,
266,405,093,470,971,745,904,448,917,818,701,109,664,082,362,110,844,974,226,
874,217,472,945,711,783,591,522,953,314,145,622,424,786,733,559,831,755,823,
841,696,736,103,809,582,181,303,363,191,755,816,700,983,890,912,682,672,617,
166,650,122,122,220,917,250,963,751,885,886,366,726,579,834,503,194,657,525,
831,751,804,697,144,516,844,377,353,751,531,410,286,248,839,066,505,506,723,
366,029,950,672,722,556,308,086,521,731,095,937,971,383,674,220,204,627,546,
903,043,950,046,936,040,861,855,512,319,119,403,810,555,825,505,470,084,470,
163,398,485,379,492,521,326,246,329,807,513,547,926,330,125,478,409,630,813,
403,115,057,482,817,712,059,481,279,243,873,972,238,447,206,522,691,851,119,
157,076,295,481,656,057,004,687,968,973,815,204,785,827,044,289,626,303,148,
593,051,422,907,497,282,670,437,721,903,162,930,260,077,686,502,946,649,070,
486,132,378,168,706,961,720,221,941,522,033,679,288,464,516,823,570,910,220,
470,011,136,639,152,521,317,970,248,280,489,655,858,226,808,710,638,083,934,
419,212,970,705,452,621,914,653,066,487,251,271,418,409,830,247,144,560,799,
344,612,271,007,352,382,581,829,109,622,563,827,194,017,662,474,292,027,849,
786,307,383,411,047,677,387,063,845,317,473,509,063,724,092,302,513,071,478,
634,971,738,558,597,834,136,128,752,340,185,292,278,213,680,402,050,511,926,
850,081,503,513,894,309,717,178,632,094,854,841,296,592,077,423,400,856,161,
193,822,446,913,153,726,356,800,671,908,630,006,432,883,535,670,982,163,818,
640,218,579,563,172,370,785,806,138,121,350,721,037,850,594,871,285,020,562,
374,881,861,802,415,504,830,881,164,425,513,688,494,868,364,409,329,281,552,
632,898,111,299,784,228,084,381,884,528,562,525,400,026,479,407,952,109,132,
296,542,128,661,110,056,487,090,058,286,410,898,011,532,338,040,206,742,332,
343,784,519,679,731,180,323,352,085,760,108,912,059,328,708,557,238,770,636,
258,415,615,695,767,339,407,196,975,060,091,351,694,634,059,268,444,135,059,
285,783,011,613,713,454,517,776,642,455,644,901,072,234,296,413,813,182,021,
551,584,584,196,988,691,325,963,589,917,663,005,911,133,506,462,991,274,241,
091,994,909,170,674,785,858,329,646,010,788,709,917,091,262,991,059,674,382,
250,554,220,448,178,701,513,061,370,780,551,784,618,211,908,480,337,351,557,
585,198,542,973,758,315,578,633,958,470,659,352,171,888,955,191,253,942,029,
828,180,812,656,555,810,829,383,675,108,597,041,589,824,555,385,690,044,864,
660,729,280,554,669,162,344,128,030,016,267,557,626,686,409,729,204,343,094,
085,118,038,216,711,108,474,362,907,200,354,318,299,647,930,488,101,459,588,
650,239,890,792,263,241,690,854,193,506,408,905,468,070,746,895,270,252,231,
996,362,214,759,481,302,445,234,154,838,843,319,139,249,417,348,512,105,076,
938,609,108,898,500,153,268,895,168,336,446,326,460,347,874,739,347,935,355,
902,502,691,938,253,261,497,236,266,249,473,007,694,132,769,920,105,975,050,
711,157,206,410,731,059,993,691,978,502,528,527,586,291,406,311,718,421,886,
258,433,938,971,451,072,844,730,339,652,753,845,338,310,219,842,755,066,825,
033,633,522,628,711,214,358,771,987,751,962,504,703,177,824,762,828,310,268,
602,725,132,590,539,911,857,157,942,735,838,515,028,775,074,044,247,560,288,
399,791,159,619,828,288,480,787,020,810,102,576,138,738,672,700,334,706,798,
874,967,633,093,380,441,079,435,232,408,890,028,938,001,888,222,300,473,128,
484,700,825,375,663,663,557,928,344,939,567,354,711,265,474,894,512,575,823,
132,507,110,094,040,712,226,045,619,731,686,040,351,764,978,280,903,506,530,
441,926,019,291,616,408,526,866,017,375,526,159,724,865,168,048,395,741,742,
371,009,537,539,087,234,800,739,540,834,656,472,685,956,506,214,658,795,971,
573,446,763,682,154,154,833,300,926,827,705,511,223,164,134,963,365,777,433,
461,181,211,759,041,538,624,320,007,429,521,093,647,686,237,122,631,321,330,
199,257,655,082,303,506,210,690,673,811,587,988,099,803,007,766,281,327,996,
570,134,121,606,014,008,388,810,239,906,047,248,408,801,963,319,848,416,919,
992,857,095,940,499,145,990,739,878,320,817,097,031,887,528,319,807,120,562,
643,625,771,530,004,891,181,044,506,055,171,636,624,426,493,262,826,730,909,
078,234,819,368,737,362,888,735,893,758,258,102,907,077,810,918,036,217,860,
596,523,023,464,266,126,560,989,944,806,082,481,586,041,089,852,395,729,820,
439,324,585,927,932,294,172,629,195,628,697,830,716,434,897,617,151,536,847,
052,730,096,766,052,932,457,781,614,099,411,655,366,264,047,355,630,507,155,
453,802,824,854,139,340,242,304,509,828,768,356,464,559,952,477,995,678,516,
348,790,078,848,159,052,319,110,080,130,341,128,679,767,556,846,651,906,790,
435,239,187,040,804,043,832,658,878,187,722,046,966,503,722,081,396,461,266,
653,455,616,369,104,194,616,095,550,509,472,132,846,298,370,519,227,119,080,
721,354,485,466,887,669,310,329,461,513,991,795,506,473,371,458,865,285,203,
130,022,918,123,964,659,007,555,643,600,158,639,224,831,240,670,538,760,258,
702,914,120,485,304,763,593,055,138,422,204,509,388,623,861,620,796,294,021,
650,557,635,199,581,744,164,530,020,408,372,648,516,549,099,790,369,466,616,
315,130,760,828,295,961,530,823,014,334,343,207,367,821,785,928,683,487,827,
231,907,028,701,474,235,131,103,048,753,705,438,313,371,052,096,364,035,911,
817,382,719,936,853,680,719,339,003,188,342,420,887,873,619,652,854,809,339,
905,153,583,393,075,554,667,120,643,686,289,108,891,756,708,363,583,539,763,
694,013,798,559,745,751,519,516,511,495,446,231,170,507,366,550,031,566,080,
505,750,946,586,905,738,904,939,579,145,024,715,904,698,742,489,066,673,775,
322,633,814,369,192,907,778,458,250,114,675,496,315,615,118,278,437,517,907,
124,982,121,801,535,554,148,373,280,592,049,465,775,396,710,778,116,139,109,
637,126,060,749,650,611,678,036,097,157,204,391,739,927,673,115,168,284,080,
240,137,608,344,827,691,744,624,004,696,354,670,798,175,256,462,552,779,772,
440,531,333,343,137,357,087,365,791,381,044,075,336,530,480,933,542,117,944,
494,016,452,076,961,830,100,634,610,103,253,476,279,420,648,216,345,586,603,
662,672,707,148,996,863,896,088,264,390,744,116,831,725,618,434,102,053,167,
951,267,130,057,382,023,156,577,211,425,001,419,915,891,116,872,484,236,287,
279,289,422,969,203,974,996,452,077,421,812,381,590,123,918,782,183,829,413,
400,027,654,368,189,853,071,749,411,460,943,820,429,746,808,543,618,242,495,
828,790,024,115,849,906,053,289,412,941,674,817,583,404,950,003,886,141,760,
754,883,132,870,264,744,176,440,627,385,884,749,507,002,961,844,845,594,502,
930,984,845,529,598,726,838,901,437,073,758,568,870,221,309,017,550,254,879,
296,212,238,541,838,823,456,549,109,442,569,523,984,885,774,494,797,089,290,
355,990,688,802,674,834,498,928,015,697,316,033,533,523,597,712,955,904,349,
140,048,633,552,271,580,698,112,481,230,795,363,456,314,759,890,580,852,387,
380,069,044,843,331,162,480,773,866,798,114,211,538,726,444,299,079,307,596,
845,473,026,849,354,612,698,163,224,218,328,328,384,181,622,734,840,672,928,
703,741,467,641,034,936,769,859,909,546,199,169,377,444,467,092,989,127,778,
058,159,004,354,357,900,455,676,499,498,040,317,940,458,505,095,122,914,777,
903,600,518,981,355,229,378,423,274,382,815,612,183,722,371,307,961,506,825,
215,123,197,215,993,234,442,750,456,960,962,816,247,339,174,804,517,405,322,
760,231,536,376,918,305,864,887,914,895,454,268,959,340,056,947,177,409,514,
869,460,658,848,508,072,216,368,734,817,288,812,766,960,037,597,388,738,295,
495,634,860,133,720,339,325,764,683,251,309,165,891,627,831,854,388,208,781,
970,269,232,789,970,936,905,233,506,663,942,773,401,661,684,206,218,828,714,
006,636,588,508,051,784,286,671,038,247,964,559,706,529,396,895,508,930,718,
007,008,924,830,539,736,797,728,432,241,479,204,419,527,096,080,174,181,597,
541,629,468,980,732,862,687,498,631,618,601,316,780,614,826,178,113,823,032,
252,492,011,389,648,216,980,565,569,631,016,551,511,266,907,496,084,401,892,
420,532,211,961,687,840,990,488,261,815,895,393,441,583,564,616,606,613,731,
238,609,476,004,261,029,596,632,661,351,353,394,539,050,266,292,871,762,831,
220,894,968,672,740,593,186,417,960,737,869,847,085,680,732,383,681,658,772,
763,145,681,763,976,242,363,061,349,021,115,836,868,968,021,892,464,556,208,
493,828,598,143,817,786,453,276,320,919,761,194,656,136,895,421,968,267,725,
418,291,643,456,760,323,579,001,141,449,507,069,336,603,137,300,762,026,720,
803,014,119,026,908,181,796,172,347,267,413,878,200,527,428,580,634,845,559,
126,250,713,776,650,313,312,292,354,523,031,655,988,851,480,017,724,580,418,
191,757,311,481,477,061,525,260,367,610,109,718,141,109,441,255,540,487,803,
500,200,114,561,206,990,719,292,101,904,927,619,316,247,586,839,016,349,867,
614,030,402,826,686,199,203,692,037,612,482,982,532,417,693,850,945,172,273,
624,511,135,432,046,996,184,223,215,045,444,635,402,219,656,207,223,685,618,
100,580,127,987,759,380,202,464,175,670,299,205,766,346,625,061,233,705,683,
296,299,063,920,603,064,563,722,216,613,993,349,199,311,249,889,419,512,291,
517,272,081,044,195,625,882,682,950,548,652,201,012,434,863,358,400,382,443,
382,379,545,990,332,323,797,002,452,498,587,210,406,170,322,312,252,300,585,
675,105,050,269,605,766,110,672,510,685,201,371,337,056,149,869,559,425,854,
821,017,598,114,380,763,343,586,523,553,893,907,944,878,300,158,866,165,915,
588,951,559,769,412,628,596,093,013,231,659,128,643,618,125,831,433,109,403,
996,843,893,097,707,825,097,860,796,040,412,283,266,190,231,874,150,799,352,
539,214,995,704,393,349,161,539,829,738,849,786,449,670,534,123,767,329,418,
573,217,147,530,586,764,537,768,231,741,469,006,428,979,255,257,902,194,576,
346,464,499,930,361,131,077,892,068,390,857,848,104,543,864,680,960,560,652,
555,494,452,765,721,655,812,709,367,326,868,484,392,550,104,231,875,840,376,
849,032,316,757,704,118,490,729,717,813,812,371,820,782,950,509,665,173,933,
576,030,064,699,979,766,754,713,789,207,145,577,046,364,491,317,829,268,339,
597,102,203,497,643,231,192,275,375,393,512,107,983,838,327,568,212,006,568,
108,693,352,954,267,436,953,540,644,947,743,863,357,922,077,265,797,635,551,
404,135,290,171,633,827,785,391,970,436,887,157,069,373,368,611,403,670,574,
592,013,814,468,653,950,498,973,801,114,900,546,319,837,150,312,545,212,831,
936,605,369,098,169,394,892,554,980,025,382,422,782,844,529,864,867,119,185,
972,959,325,120,380,666,673,653,318,847,208,865,788,118,271,810,458,897,977,
931,301,895,923,493,464,461,150,888,453,057,653,180,586,745,919,463,204,719,
617,030,071,461,707,309,137,029,224,714,644,776,476,839,053,865,926,101,270,
064,138,351,002,028,644,009,722,520,508,348,237,119,473,315,705,516,095,280,
237,266,784,719,161,795,828,314,710,758,849,270,166,168,489,348,535,246,349,
555,640,013,396,251,571,824,971,872,344,479,759,229,892,172,209,141,631,992,
318,776,132,157,594,056,775,118,419,649,574,646,623,461,194,565,416,174,808,
875,308,954,659,922,373,064,239,707,337,224,546,314,405,582,177,810,448,421,
192,119,465,444,864,145,471,048,190,530,647,662,903,926,952,203,311,571,160,
868,965,473,710,479,647,404,800,858,917,543,525,448,358,963,512,620,799,863,
808,348,623,966,164,772,217,887,528,413,301,105,293,032,525,577,758,475,585,
381,962,887,078,929,255,725,077,942,841,960,913,458,246,789,938,634,566,764,
869,981,523,394,768,301,625,997,472,185,289,260,894,686,045,249,842,624,016,
993,251,611,678,310,507,915,448,421,304,828,093,054,562,230,484,318,023,297,
615,245,986,205,998,931,360,526,752,367,009,121,423,762,277,247,857,050,026,
214,545,542,175,775,843,772,682,297,273,144,745,827,220,973,417,823,146,397,
512,797,109,978,652,490,647,088,432,480,454,658,084,071,549,368,430,580,032,
355,620,597,108,686,246,888,800,455,264,379,671,692,706,128,589,289,377,579,
892,259,326,330,326,087,979,882,752,829,122,425,986,963,862,776,427,733,712,
100,741,982,827,323,661,295,625,623,979,848,886,171,050,039,568,562,439,447,
741,146,769,938,239,515,288,240,427,142,155,920,384,134,183,138,533,849,562,
082,723,934,961,341,994,041,727,019,058,085,499,382,172,752,553,638,616,995,
452,819,068,023,291,881,433,817,346,762,095,282,925,814,925,289,026,853,355,
286,512,684,187,284,103,427,203,876,784,174,763,763,265,896,980,869,776,589,
185,296,089,748,957,076,991,642,756,181,969,562,349,759,024,140,112,945,324,
408,573,366,466,168,202,465,986,468,960,726,150,104,762,235,174,966,019,841,
969,158,343,459,984,752,157,792,246,624,038,016,920,039,742,734,690,256,620,
147,978,098,825,635,876,399,694,803,472,834,209,046,637,163,078,993,116,062,
226,375,491,792,487,095,900,997,029,846,756,961,883,666,417,135,769,714,128,
334,476,353,681,907,411,158,653,129,755,502,919,498,752,278,919,347,245,584,
057,645,677,551,047,662,616,615,134,061,396,654,136,766,354,429,976,424,951,
935,588,659,073,095,465,659,027,656,732,285,235,390,797,322,276,091,355,311,
820,806,702,225,245,317,308,868,228,212,601,989,532,362,792,204,675,403,920,
228,512,139,903,077,753,166,864,031,857,517,300,552,761,000,142,143,916,306,
279,955,109,922,777,064,442,783,923,300,239,969,640,238,968,782,253,356,481,
286,860,971,063,510,389,449,698,993,831,064,337,194,790,267,462,768,072,910,
863,481,424,142,953,803,404,384,416,648,446,968,506,453,377,562,465,590,045,
914,828,142,718,051,870,977,032,264,976,667,676,683,713,206,290,276,557,558,
282,960,675,087,878,509,273,542,198,581,741,770,326,237,136,657,753,020,092,
740,595,100,238,424,025,650,473,644,619,089,362,814,902,873,172,489,536,806,
695,130,130,400,495,932,258,832,343,099,222,880,225,079,554,508,837,446,067,
337,467,363,565,093,661,375,588,847,336,230,106,214,090,273,232,024,684,656,
632,659,084,584,827,885,182,099,626,469,416,374,652,911,172,040,917,928,495,
919,203,881,360,256,456,169,015,626,052,695,352,856,659,664,872,521,004,831,
170,320,454,099,176,469,324,583,055,490,059,812,325,174,150,012,473,763,624,
066,222,805,940,504,594,773,787,629,687,384,189,000,702,214,415,171,243,087,
105,924,778,669,548,055,888,761,713,195,434,056,218,461,388,545,180,341,369,
107,228,761,841,618,090,302,154,717,789,342,290,732,245,136,679,360,973,941,
152,163,378,939,016,544,292,399,116,149,383,789,915,286,086,683,828,809,485,
022,869,716,421,405,204,106,905,879,924,874,270,521,743,386,443,560,940,443,
286,881,431,969,026,060,704,103,374,203,208,178,403,362,396,400,362,842,542,
588,676,821,853,127,491,997,012,130,757,336,211,355,212,749,883,446,534,407,
401,907,098,910,308,713,365,457,134,214,184,457,821,561,641,578,779,087,850,
775,207,787,130,794,222,356,676,448,845,437,085,495,230,616,442,477,093,936,
811,369,068,464,633,121,493,602,989,120,816,832,717,211,912,646,256,267,119,
515,210,475,158,323,665,019,140,818,325,696,843,116,991,129,071,161,115,788,
311,248,620,965,858,396,509,304,952,793,671,220,539,275,698,492,290,928,106,
316,135,092,270,236,808,256,354,819,690,058,957,901,400,293,978,324,260,313,
885,822,648,865,408,720,641,276,215,444,518,268,194,569,641,204,762,048,848,
677,172,910,157,920,975,206,533,491,974,125,074,686,421,820,583,168,245,464,
838,639,748,882,469,541,136,315,469,116,865,024,692,297,391,221,128,161,089,
508,664,705,033,885,430,036,782,275,183,426,322,160,709,190,146,146,359,057,
005,765,390,667,491,526,577,063,019,333,474,801,104,152,532,655,511,404,193,
789,331,640,457,722,008,366,835,505,453,349,139,480,341,513,312,029,253,393,
497,608,899,635,358,314,914,837,501,669,404,935,073,853,582,815,771,633,690,
140,782,776,014,652,107,522,501,044,915,870,593,822,956,322,757,252,530,342,
515,330,463,348,501,859,354,092,039,226,015,789,960,399,264,295,168,549,102,
552,422,519,358,986,868,462,425,735,002,316,051,319,580,468,931,796,713,163,
442,921,983,108,466,405,946,060,959,857,845,424,562,913,632,026,273,700,150,
492,093,989,407,285,387,966,588,631,764,005,489,872,884,397,295,399,507,898,
429,121,384,430,375,094,923,707,714,545,269,840,839,495,620,008,920,428,979,
094,107,856,879,552,029,363,698,805,888,665,317,165,827,773,608,751,345,578,
062,600,927,135,839,510,235,079,888,489,467,150,676,859,425,440,058,496,110,
177,623,510,355,762,662,009,430,815,869,125,119,771,257,385,660,233,610,258,
098,018,326,989,493,403,004,600,992,012,978,324,909,819,336,263,274,423,238,
481,253,424,841,736,414,940,749,416,476,831,678,674,400,127,975,120,417,834,
901,545,486,113,811,459,989,704,911,221,078,636,451,353,992,997,610,552,954,
447,350,684,098,789,421,761,022,310,730,059,123,636,682,003,924,595,561,002,
592,697,637,615,639,904,408,684,140,145,264,216,949,527,918,803,050,122,299,
355,455,647,437,336,524,620,810,226,322,009,709,992,945,425,555,626,832,280,
976,397,513,361,262,006,980,849,964,900,974,101,610,831,552,450,328,053,480,
988,993,648,158,864,883,038,377,805,690,300,703,814,226,659,474,968,488,314,
766,820,586,337,128,628,624,997,033,920,892,304,752,738,061,540,189,394,998,
875,839,896,055,588,821,138,440,239,239,630,995,987,582,011,454,722,135,701,
001,869,522,159,756,194,148,315,591,548,117,550,968,644,641,329,719,945,768,
947,794,620,698,449,023,263,025,911,447,824,751,826,785,525,367,862,646,390,
896,557,248,761,944,408,904,028,343,711,992,182,376,455,728,712,976,767,923,
360,180,604,927,447,955,506,538,689,662,678,754,250,789,412,990,117,272,599,
780,646,499,998,673,831,482,146,880,151,997,397,596,089,346,141,520,015,220,
670,203,963,087,838,188,159,902,751,292,922,502,212,507,551,599,561,660,448,
761,682,179,498,028,230,983,269,947,282,394,457,094,542,093,464,161,126,614,
681,688,418,046,919,976,448,945,599,281,331,748,863,849,323,334,624,047,547,
177,599,380,440,551,853,949,275,807,368,635,536,875,788,684,875,491,633,062,
207,632,892,383,397,936,175,908,014,745,381,975,159,135,580,969,162,660,502,
837,335,767,717,239,599,550,750,099,386,097,293,369,918,256,982,331,215,886,
077,607,879,444,709,876,756,186,803,391,220,839,538,011,735,728,472,576,923,
985,680,953,091,187,239,870,731,246,716,982,893,520,164,231,535,571,191,486,
370,933,798,408,651,993,461,653,006,400,303,576,815,443,314,095,134,341,599,
393,855,532,515,830,752,141,090,664,976,824,541,012,089,854,626,016,202,383,
371,394,384,643,050,279,314,265,114,430,382,333,073,570,067,587,602,335,909,
225,874,692,116,171,302,529,906,967,940,219,495,712,035,756,726,877,909,427,
010,666,839,289,807,442,801,360,573,500,863,524,194,453,861,073,867,628,188,
683,225,538,303,101,421,378,224,873,595,983,210,008,894,132,085,712,183,098,
705,657,761,968,204,077,408,571,116,777,207,245,846,181,234,039,850,740,782,
629,122,454,124,092,828,487,030,660,609,085,395,211,242,355,861,643,822,207,
090,279,993,305,255,373,619,675,758,287,178,402,392,202,405,539,592,376,525,
861,152,783,847,754,348,235,003,349,292,005,847,877,993,142,015,858,824,997,
237,136,616,898,943,003,409,093,235,622,541,580,680,991,551,813,734,888,083,
662,301,108,069,237,487,565,515,940,835,604,504,153,478,014,692,946,181,620,
566,531,935,952,972,342,691,242,657,971,766,603,213,656,402,323,860,118,967,
227,992,292,970,061,763,577,564,765,444,529,812,858,311,534,369,420,937,093,
687,526,712,049,450,849,726,526,928,031,391,120,194,868,295,808,317,218,335,
410,871,677,552,809,893,125,837,964,842,848,911,124,592,803,153,170,897,719,
186,879,027,380,438,694,407,074,448,191,691,909,966,196,783,033,382,297,382,
872,291,718,147,629,362,801,077,335,143,086,323,405,563,658,810,355,476,865,
279,557,479,871,827,135,437,278,446,916,034,457,872,440,430,638,659,918,793,
809,734,605,002,603,619,702,897,479,606,364,096,699,263,701,738,889,202,631,
225,000,271,697,849,379,687,407,347,759,754,556,324,133,197,865,523,072,252,
737,862,251,440,700,806,396,137,025,732,561,013,852,243,765,336,220,355,433,
762,303,376,921,605,910,339,338,616,835,537,652,143,796,435,215,606,288,272,
603,167,182,034,142,235,427,870,350,307,223,818,124,991,326,187,309,936,832,
655,433,703,439,258,087,716,234,528,608,016,681,662,487,887,656,040,296,899,
941,114,869,626,160,009,304,283,244,006,604,338,523,929,188,877,801,945,532,
654,207,756,646,619,548,064,658,746,800,051,630,808,756,194,273,629,356,156,
801,618,595,631,488,015,013,913,640,487,771,037,037,831,478,662,459,998,521,
661,080,166,309,268,198,541,650,498,332,877,091,884,739,290,707,637,425,499,
284,171,009,974,306,510,383,647,394,586,290,192,847,049,867,674,001,370,084,
620,021,676,084,298,305,202,923,419,969,115,027,740,752,334,872,539,874,229,
608,088,688,067,801,037,157,776,530,475,552,166,661,155,091,495,147,269,877,
083,801,902,332,080,395,471,961,680,890,004,893,088,780,570,508,299,542,963,
957,551,999,741,192,808,774,729,912,216,980,787,636,076,191,348,945,592,349,
376,034,461,733,132,009,036,772,724,040,855,406,861,058,526,690,443,525,876,
222,300,821,367,699,620,816,340,851,459,475,697,322,117,898,450,440,745,329,
602,297,289,531,807,248,418,943,456,938,727,233,629,824,510,748,874,037,884,
918,533,243,100,501,432,597,815,210,121,984,077,840,046,181,141,436,957,583,
284,091,390,696,832,014,362,960,045,890,000,234,314,543,022,415,490,951,758,
383,490,182,334,350,401,485,842,833,804,741,739,188,800,169,429,881,029,795,
173,635,592,784,611,702,848,552,375,793,390,316,780,822,941,120,229,953,978,
485,749,820,663,217,517,363,592,100,406,747,910,187,976,881,885,225,347,664,
716,632,605,332,870,902,653,831,070,733,127,702,699,626,829,844,331,057,360,
922,184,485,407,653,716,037,255,795,516,653,530,135,940,438,486,942,016,056,
551,406,949,836,712,849,095,788,186,967,350,380,385,805,499,594,492,439,886,
144,293,317,471,862,754,533,926,620,355,019,214,814,677,433,376,302,614,619,
763,852,988,836,067,668,212,145,341,344,432,619,725,609,765,677,242,860,164,
026,753,379,213,892,064,198,296,769,848,658,205,717,640,543,429,248,167,302,
874,338,964,541,183,168,467,851,899,537,898,900,768,039,011,205,121,586,478,
500,026,872,044,880,698,055,193,970,429,644,779,056,076,449,039,212,270,565,
894,833,247,333,769,978,898,608,451,328,179,288,746,501,281,614,247,723,506,
038,990,996,185,770,119,320,968,659,619,265,563,351,718,342,028,130,996,074,
353,187,426,806,332,937,742,066,228,214,913,931,995,931,695,073,054,487,460,
929,725,991,415,869,290,811,197,081,502,223,375,633,952,090,393,193,035,649,
983,642,092,311,923,161,115,043,851,346,231,423,047,260,819,145,656,498,061,
969,069,600,185,464,093,370,939,469,173,237,146,654,945,204,442,986,111,005,
538,903,750,140,497,457,696,581,477,377,503,834,727,527,985,434,416,030,707,
839,810,756,964,427,652,982,240,789,905,477,218,755,428,150,173,559,128,786,
602,384,522,681,980,086,529,561,928,224,702,465,632,759,147,988,184,514,328,
168,107,272,139,798,179,776,974,117,696,204,469,082,215,228,070,555,254,358,
024,106,226,356,950,673,661,418,442,062,482,496,920,075,090,233,501,692,194,
285,088,638,734,415,086,630,279,962,869,104,252,398,145,532,197,029,005,434,
208,172,219,328,532,626,373,478,310,587,335,485,010,548,435,370,219,793,046,
417,325,416,529,711,056,463,938,039,579,115,238,726,060,018,133,204,515,132,
883,427,286,158,119,320,386,530,800,733,344,290,447,225,836,285,892,704,817,
167,067,369,376,865,586,559,152,951,160,750,178,164,776,436,882,664,074,550,
284,355,756,060,028,469,040,961,464,644,913,757,337,195,195,887,645,154,943,
852,008,880,984,275,472,856,759,142,936,135,433,732,978,296,434,507,331,444,
866,901,406,359,557,997,469,026,005,854,503,710,509,750,975,346,331,516,367,
410,999,414,267,111,466,518,619,301,971,585,137,662,387,801,397,838,219,248,
833,974,056,343,740,702,650,294,902,422,482,793,805,971,607,685,264,173,368,
016,261,332,750,540,274,036,282,291,574,145,031,629,356,099,563,555,812,516,
025,472,865,316,934,069,340,157,392,456,002,206,460,590,899,603,382,053,412,
171,843,390,429,363,900,547,246,264,424,301,114,231,670,893,742,303,795,273,
565,681,835,363,074,014,408,241,114,062,389,421,610,038,604,958,661,199,660,
812,828,617,987,453,857,551,384,597,949,508,686,679,160,355,560,532,770,740,
959,089,779,674,152,622,420,159,375,118,959,096,208,427,119,507,215,412,514,
242,370,546,027,575,416,323,931,319,674,819,060,613,954,236,725,229,462,763,
868,350,701,797,832,457,690,205,769,878,843,563,255,157,450,094,155,924,793,
469,357,511,838,925,087,366,927,832,844,700,736,983,593,564,638,970,994,336,
069,515,558,978,552,463,884,205,725,987,143,801,643,783,767,827,423,606,736,
303,938,930,739,612,872,481,274,504,816,210,921,489,617,894,005,671,962,295,
687,900,102,530,989,034,406,766,278,304,514,305,010,986,019,309,600,451,769,
083,284,639,115,242,052,535,784,904,252,160,384,451,096,988,431,738,975,451,
548,614,088,648,123,602,406,243,073,838,788,579,232,905,827,124,694,436,819,
815,403,199,815,489,487,978,468,849,085,768,168,785,602,983,918,260,466,820,
704,637,773,275,384,720,078,903,033,193,645,519,575,915,357,201,489,315,247,
023,133,159,407,281,331,186,656,248,212,315,811,221,180,682,804,782,687,197,
881,903,417,736,706,796,484,773,293,203,247,227,300,335,389,699,058,632,980,
369,725,450,789,309,915,205,227,802,493,847,429,357,974,456,109,013,518,645,
770,728,813,016,315,057,938,362,305,094,573,495,685,652,442,612,299,583,916,
485,030,806,194,689,664,601,148,503,515,969,689,291,896,644,168,436,261,158,
597,456,158,445,059,551,574,693,933,548,931,670,412,150,047,868,378,054,950,
916,264,843,600,881,912,338,601,327,351,254,475,000,107,472,382,502,965,522,
680,122,215,343,359,444,946,597,697,903,998,326,149,233,581,635,686,636,760,
849,952,363,073,692,975,635,920,081,602,170,272,496,945,755,990,351,046,912,
021,276,840,457,258,484,844,216,307,375,785,319,046,549,538,516,525,951,016,
427,428,776,708,985,955,895,200,864,724,193,483,842,193,212,964,019,420,721,
345,836,426,294,898,667,589,993,832,343,864,446,967,820,220,461,133,158,003,
941,023,670,470,421,783,988,370,981,726,887,482,773,523,285,372,479,619,357,
866,629,906,048,768,067,331,095,259,703,166,896,927,749,872,621,977,335,155,
872,156,575,393,818,150,122,383,341,183,768,858,069,409,328,439,309,752,086,
949,815,003,580,298,581,153,083,620,812,002,863,588,334,945,150,073,472,325,
997,711,819,490,412,936,374,011,057,756,398,293,356,835,817,505,379,842,330,
209,406,433,492,312,703,038,977,830,826,395,047,956,927,094,116,604,018,070,
777,022,879,227,206,928,703,612,644,398,023,592,257,681,675,481,024,191,853,
671,632,251,095,660,330,560,249,455,397,848,445,003,313,338,618,364,145,719,
855,374,826,484,059,247,321,146,342,872,584,286,144,515,487,730,304,206,365,
109,309,852,655,210,471,167,137,899,803,481,430,852,211,741,156,909,853,201,
463,851,621,563,951,496,705,052,235,041,857,736,840,534,996,830,090,956,148,
859,517,860,282,121,818,500,183,863,309,375,473,639,166,957,766,454,040,449,
225,759,427,293,933,554,197,642,518,118,493,201,612,522,015,194,239,816,676,
864,086,780,104,439,665,620,618,983,860,224,101,385,567,734,769,837,577,264,
259,586,315,439,171,660,024,802,297,443,618,769,721,132,231,661,579,353,485,
187,139,706,017,223,422,485,566,403,719,898,462,548,718,906,518,157,116,911,
573,193,689,832,892,513,786,087,514,704,635,338,473,366,830,189,524,062,599,
161,908,253,503,519,700,305,280,737,363,886,318,156,574,928,997,626,211,479,
702,204,545,060,607,292,189,214,847,402,036,672,937,844,493,208,014,909,312,
551,223,695,872,395,143,451,928,804,662,242,699,029,488,574,719,763,459,248,
699,109,658,222,420,308,249,561,519,905,355,780,101,025,565,993,100,445,665,
028,845,503,505,976,344,613,976,497,043,352,025,827,221,385,989,979,360,769,
028,896,281,920,026,998,402,254,380,198,695,885,662,918,383,603,243,795,285,
708,815,777,022,184,382,326,508,557,657,228,485,615,555,354,955,894,310,009,
204,794,466,818,614,794,617,661,181,667,597,069,534,909,705,657,422,043,248,
406,234,718,230,838,735,199,809,562,083,604,193,764,202,761,511,693,380,558,
684,085,509,810,172,157,397,665,698,249,506,948,597,894,779,391,575,245,554,
788,015,540,568,866,849,138,701,362,433,716,681,165,720,010,525,970,219,015,
452,067,849,408,954,688,147,971,613,304,283,567,007,954,553,735,245,619,723,
117,223,984,067,006,162,128,622,619,831,775,183,542,909,326,026,360,072,500,
751,136,268,940,968,867,274,617,474,661,979,525,024,177,471,166,258,202,276,
100,429,122,475,822,125,979,653,585,747,481,278,479,905,278,614,690,090,815,
082,869,262,526,837,653,829,314,574,712,933,552,519,418,335,142,138,516,029,
005,124,000,565,991,253,292,417,452,374,851,203,392,117,832,219,788,068,348,
900,066,130,539,903,595,374,918,373,889,072,857,517,629,430,534,715,134,162,
933,156,241,762,890,266,717,826,022,971,397,356,322,207,169,694,151,093,885,
546,236,956,796,149,886,592,519,630,824,900,063,174,848,313,717,092,623,295,
971,204,370,307,471,278,898,392,583,010,514,759,661,813,269,005,513,762,004,
268,568,164,336,325,013,041,117,768,583,177,931,595,085,985,902,775,683,940,
041,860,368,492,864,252,711,002,339,900,907,633,754,446,085,952,601,247,677,
703,054,488,909,568,672,522,731,130,028,805,826,518,745,926,056,907,502,005,
079,930,613,869,854,624,870,359,575,994,545,512,639,982,992,714,621,889,769,
487,835,811,731,415,676,900,068,479,004,228,812,005,189,193,118,309,524,606,
669,949,648,677,535,119,216,427,202,797,433,479,930,160,061,897,928,701,970,
669,098,161,178,560,214,171,001,970,269,602,637,658,761,511,032,799,869,304,
240,441,013,326,459,740,411,146,063,512,791,054,574,741,228,670,226,380,536,
093,061,496,771,475,382,093,293,086,064,961,233,945,824,718,132,016,712,861,
568,425,678,517,987,771,583,189,835,800,573,203,386,317,026,461,507,165,573,
600,910,571,738,735,414,568,161,938,960,866,807,291,866,005,192,653,637,973,
631,529,097,248,241,886,989,020,331,065,125,795,062,085,935,079,192,637,811,
620,617,003,017,638,547,833,078,152,912,541,173,833,330,346,320,389,491,132,
220,831,160,918,393,528,767,223,969,142,322,456,742,466,706,667,780,867,888,
732,835,083,257,231,017,522,321,105,768,699,178,646,877,513,606,848,073,930,
058,826,550,919,266,519,752,126,044,500,355,410,709,449,472,132,465,474,997,
980,651,842,384,333,570,422,148,993,798,185,255,832,907,279,522,834,057,897,
661,820,458,848,140,273,361,772,704,084,722,217,739,169,578,917,117,453,634,
817,797,055,518,023,038,561,515,528,409,592,680,347,950,178,163,491,674,043,
433,883,980,706,203,558,323,047,816,661,166,302,204,517,978,392,189,569,785,
189,853,498,590,295,617,256,288,611,716,331,480,297,531,836,461,743,053,900,
357,310,395,930,871,000,084,653,374,974,202,487,846,983,771,004,581,155,601,
506,088,997,041,825,141,927,759,713,103,129,171,346,491,833,581,176,394,083,
284,402,906,233,450,387,149,944,089,217,486,910,187,966,805,464,586,901,969,
697,999,829,813,892,423,020,498,376,887,613,860,646,749,028,739,660,706,430,
533,761,695,889,994,593,514,617,921,515,813,455,360,216,933,575,262,133,323,
307,071,212,677,392,487,889,379,616,521,266,152,696,908,976,581,493,548,576,
673,005,599,048,491,281,772,531,161,615,824,523,073,386,486,082,655,944,621,
756,842,444,967,690,899,878,934,772,671,669,532,799,033,624,146,523,138,402,
174,124,912,002,140,865,633,219,602,476,650,744,191,727,314,848,781,686,120,
812,321,483,182,090,087,156,582,949,052,652,737,785,250,292,649,242,119,943,
037,619,212,142,207,742,468,681,489,544,859,012,441,486,707,544,798,551,451,
200,082,728,621,138,124,938,264,237,981,900,837,074,560,054,429,581,363,113,
779,157,590,119,097,932,021,265,480,413,258,662,207,722,738,333,748,129,407,
005,371,173,999,278,172,096,159,726,150,939,628,727,355,786,880,945,848,497,
781,012,359,789,796,227,094,946,695,553,667,081,051,848,460,620,139,070,335,
694,749,203,012,599,110,195,173,586,602,614,697,622,755,350,819,530,797,619,
677,880,860,990,479,955,284,308,751,453,211,077,608,517,253,886,221,335,907,
308,083,158,417,718,302,887,245,407,864,081,192,349,267,492,273,319,500,689,
211,362,996,253,335,142,692,258,907,721,649,488,424,667,760,658,647,825,929,
171,207,520,314,610,896,383,269,924,084,668,884,886,976,061,416,814,940,056,
511,773,946,159,342,839,450,852,364,583,954,787,666,532,180,559,705,116,404,
651,301,470,638,285,794,022,456,718,123,095,351,867,961,797,511,656,365,552,
981,394,378,765,506,625,123,239,979,834,711,867,431,195,825,132,869,424,366,
359,264,850,565,031,012,454,139,708,079,435,657,637,586,959,065,566,353,513,
122,094,221,711,143,036,593,594,551,579,451,713,526,201,594,338,116,558,448,
695,931,496,468,684,043,368,545,503,999,228,329,596,805,696,282,285,917,018,
419,160,934,857,402,878,597,546,225,867,713,567,219,319,614,501,396,366,543,
642,043,930,273,451,293,025,369,263,890,623,203,860,440,349,797,057,690,011,
765,388,691,935,557,215,783,652,966,921,076,512,592,465,877,890,316,779,688,
363,725,326,448,068,649,105,190,909,449,718,423,184,879,493,957,087,412,712,
769,642,256,587,060,500,020,989,036,933,981,925,535,535,127,736,476,754,091,
905,579,385,150,727,958,446,446,459,573,108,956,811,285,437,102,976,329,015,
894,215,364,287,500,648,757,360,752,477,633,520,161,310,485,245,739,554,639,
451,352,804,646,131,486,655,893,220,975,151,935,869,468,909,443,793,521,888,
581,429,733,833,113,234,739,303,914,912,351,456,537,396,415,241,884,843,820,
413,764,536,632,669,219,535,744,948,222,473,365,585,600,861,246,105,136,000,
767,839,328,164,183,907,232,776,470,021,881,611,820,448,349,086,155,450,565,
761,117,861,985,994,891,816,484,120,906,400,494,466,252,350,255,769,313,511,
294,925,828,237,385,104,265,958,696,757,677,143,352,583,709,901,619,253,544,
776,521,978,121,413,286,739,083,459,457,302,001,672,705,289,776,194,781,034,
254,934,792,473,636,222,973,773,338,335,001,506,222,821,619,816,186,054,432,
176,591,417,333,999,018,820,772,359,133,239,507,261,996,564,266,882,667,705,
752,184,260,334,197,466,020,967,807,509,326,441,366,451,206,716,741,386,548,
068,741,655,002,174,123,355,277,090,842,016,439,835,576,197,788,668,831,140,
365,284,934,863,271,845,532,672,477,729,029,046,712,981,917,906,317,932,193,
452,654,244,302,055,545,223,802,305,585,860,734,290,065,106,861,543,179,956,
312,556,534,912,101,995,481,771,313,111,671,679,339,242,434,874,354,593,382,
628,704,112,166,797,478,915,060,674,367,590,388,317,809,139,608,245,813,820,
620,269,788,376,397,560,443,356,205,426,676,198,959,498,568,772,086,095,768,
636,035,356,107,873,245,386,881,461,866,610,873,231,084,292,802,379,342,337,
563,163,282,843,271,479,718,569,845,747,947,507,662,491,067,576,501,196,324,
767,448,800,243,480,399,523,831,206,545,473,549,143,676,731,633,406,387,507,
629,275,986,993,428,771,094,221,719,995,670,257,554,125,206,753,003,656,575,
410,622,417,907,819,627,976,640,119,010,825,250,647,261,943,072,899,967,357,
580,397,194,827,232,514,816,784,448,174,992,347,217,622,847,305,682,705,556,
603,997,087,935,548,664,778,922,639,254,413,353,295,392,210,068,439,643,505,
726,127,955,521,344,478,080,284,198,336,867,089,030,892,240,319,995,455,276,
175,475,323,607,214,429,474,286,203,779,762,142,181,572,993,523,418,906,947,
617,641,766,948,326,412,365,069,210,359,416,275,414,749,109,021,359,526,761,
539,122,029,954,194,199,109,454,347,477,432,678,645,043,045,482,904,442,811,
495,556,528,627,767,032,206,656,776,711,017,084,394,667,362,816,652,659,856,
841,426,118,306,740,221,794,697,467,796,133,518,317,757,782,458,709,574,244,
461,079,118,892,610,204,410,622,889,713,830,915,438,629,340,196,563,483,845,
065,733,766,268,804,198,287,773,537,681,218,234,254,674,471,037,546,774,475,
577,626,516,295,898,086,003,274,027,853,841,670,707,791,332,631,603,809,821,
417,033,850,797,755,951,945,869,485,662,720,454,896,261,664,157,556,255,082,
092,515,579,762,496,724,394,848,035,154,049,850,394,679,306,422,525,794,720,
626,897,377,129,895,282,793,871,579,555,508,001,622,724,706,176,839,277,478,
748,158,520,525,762,763,631,036,928,229,551,272,049,643,986,924,449,559,459,
559,906,260,318,541,638,671,631,332,899,336,463,497,079,724,506,671,818,639,
915,952,006,491,448,834,392,818,530,542,796,123,466,891,219,722,665,210,095,
712,200,520,426,175,014,349,253,617,590,740,039,365,193,042,734,392,081,321,
960,431,950,279,615,144,073,559,162,661,621,787,064,838,886,483,987,268,453,
485,709,295,812,995,148,636,184,295,131,061,341,440,050,125,542,312,058,123,
910,235,036,229,873,319,168,702,533,658,399,939,166,974,347,662,526,325,147,
282,593,319,734,351,177,247,328,614,573,933,978,843,423,841,881,586,221,099,
564,784,694,466,297,014,703,760,166,684,256,831,093,301,659,445,400,372,796,
486,695,452,966,553,868,297,585,918,969,152,891,729,243,605,639,582,575,682,
764,047,907,983,274,354,287,916,332,955,832,565,248,838,548,503,544,489,207,
254,628,600,730,578,656,747,160,575,256,204,736,413,816,384,204,185,812,421,
730,050,479,484,650,625,309,936,984,698,649,746,840,286,259,051,990,633,483,
016,488,725,702,416,987,099,490,123,199,037,142,518,244,935,622,600,624,938,
351,398,655,128,070,250,947,232,643,763,810,518,105,195,916,786,581,502,553,
323,696,415,618,969,851,438,002,731,958,174,010,168,309,395,045,751,989,815,
898,299,613,618,645,347,666,502,640,520,536,729,327,251,483,030,765,679,755,
465,544,892,660,168,385,499,511,010,080,328,406,041,198,802,573,488,138,336,
681,437,986,182,680,394,257,995,867,199,240,032,299,707,906,829,080,181,275,
989,083,401,815,155,566,925,674,163,994,668,054,103,941,046,179,925,279,237,
668,700,299,256,862,374,162,622,054,739,363,903,561,108,509,680,879,573,729,
024,021,578,347,941,817,175,303,401,034,004,046,385,944,891,308,367,133,402,
992,368,458,861,240,846,614,827,400,098,951,342,871,829,504,330,866,788,276,
688,440,557,145,334,064,957,325,401,008,927,512,282,987,662,861,654,223,696,
324,605,596,561,240,476,064,213,033,332,997,581,520,651,366,761,398,168,966,
645,093,283,830,095,881,765,621,834,433,795,958,700,918,040,402,125,974,428,
052,702,410,515,556,853,847,400,572,415,914,622,351,053,744,405,834,995,813,
536,644,370,480,651,347,392,796,522,180,346,176,801,166,463,945,704,110,994,
326,772,999,448,972,759,956,653,181,668,524,428,063,287,382,900,643,738,421,
419,146,260,011,099,089,579,172,485,316,982,778,952,270,294,035,952,282,919,
345,081,677,960,051,590,140,025,648,875,783,755,667,031,732,012,947,055,702,
406,691,595,520,128,147,879,368,069,577,848,633,269,296,362,952,309,905,496,
643,054,319,465,604,153,268,043,089,775,213,061,561,604,472,542,391,069,314,
512,854,015,548,330,855,893,398,660,887,718,136,867,437,009,860,565,490,496,
227,058,579,346,751,919,167,732,250,165,926,091,420,630,757,760,314,511,013,
301,108,901,988,067,675,705,222,597,831,011,177,792,916,780,226,288,847,297,
918,367,497,957,497,575,013,324,583,415,517,116,732,375,201,834,568,225,717,
037,324,271,566,223,764,971,974,928,565,316,946,656,990,639,218,043,874,830,
261,323,640,323,236,697,607,537,306,697,383,188,114,232,622,612,777,450,450,
729,818,244,676,110,426,114,977,928,116,151,613,213,778,028,814,775,233,166,
263,029,452,083,895,182,725,129,091,862,612,422,659,879,858,260,668,118,495,
882,840,160,682,609,121,337,331,750,299,451,211,983,463,966,556,998,116,703,
887,267,731,178,352,646,803,540,088,169,735,410,023,331,206,367,542,762,620,
879,203,629,099,846,572,075,510,522,532,815,084,826,428,886,479,889,002,612,
800,688,228,064,107,001,244,190,905,636,014,445,956,633,374,737,042,624,625,
877,659,954,212,372,188,332,831,953,965,879,560,866,408,612,026,600,178,648,
893,172,028,026,943,087,206,565,562,135,861,343,981,591,665,366,264,430,617,
873,187,762,454,904,098,467,890,859,062,870,924,264,886,587,543,852,889,092,
438,242,407,517,389,303,661,817,727,187,048,995,721,162,658,293,048,517,847,
865,734,604,606,808,109,072,901,550,521,551,558,878,725,393,369,255,537,438,
218,690,963,225,047,125,082,423,627,607,360,231,790,570,328,214,128,999,256,
037,325,131,809,699,881,310,369,562,171,842,759,311,942,922,099,949,148,846,
434,141,340,595,104,293,244,832,051,197,552,327,499,010,584,684,215,395,484,
622,091,194,970,566,160,789,246,607,167,492,759,565,460,117,479,129,485,596,
291,847,467,351,330,692,475,068,892,213,755,870,194,627,405,276,402,935,110,
326,510,561,248,845,429,615,394,821,467,912,376,352,548,985,496,148,689,464,
675,070,669,099,847,215,056,471,193,173,504,306,770,528,694,360,924,186,548,
621,602,558,330,433,548,325,190,026,251,237,567,028,095,034,066,363,431,979,
831,121,062,159,988,622,656,886,233,021,615,432,357,734,820,125,391,485,920,
246,094,091,478,800,914,835,203,410,349,154,299,421,145,161,197,794,333,842,
493,862,731,030,002,405,064,375,936,042,862,211,672,262,456,452,340,774,551,
444,945,216,877,284,579,510,384,761,638,616,973,902,812,641,554,248,011,886,
559,969,502,059,271,392,303,143,624,283,307,322,252,633,611,999,514,943,844,
511,503,917,060,503,224,812,695,261,580,520,782,837,151,916,201,729,425,695,
759,415,188,033,142,189,853,261,512,350,638,839,885,376,723,840,997,711,787,
612,871,735,749,600,206,606,060,017,635,320,514,281,896,696,386,506,293,887,
558,146,983,959,461,685,896,022,610,202,777,498,604,428,825,587,367,929,280,
793,390,747,757,679,478,081,606,823,690,142,202,413,418,475,650,973,327,664,
599,803,734,917,265,497,462,011,773,502,077,869,927,539,505,514,225,463,021,
572,298,309,719,318,437,425,032,097,332,593,460,690,580,573,175,474,708,717,
343,893,408,742,941,921,935,380,870,019,257,345,069,365,577,656,598,373,933,
584,696,413,028,849,133,439,683,353,568,222,466,769,052,449,462,340,755,683,
625,247,216,746,968,660,828,757,913,928,394,031,595,336,796,661,931,165,601,
791,931,646,584,113,111,625,319,979,631,454,457,312,766,089,416,511,958,292,
573,559,161,487,093,318,830,402,289,995,071,044,968,840,790,292,754,231,442,
800,161,790,209,494,502,354,403,381,188,537,278,080,722,372,670,660,940,675,
310,480,066,415,304,097,075,455,270,624,912,532,728,080,521,738,445,615,853,
264,583,044,009,430,147,964,256,004,432,033,408,410,000,940,059,325,885,367,
001,103,978,010,980,774,984,015,147,955,007,892,574,477,992,573,416,575,711,
710,087,800,878,404,139,568,858,526,743,604,871,858,501,195,408,547,155,428,
743,488,666,424,810,760,685,936,534,821,643,464,094,631,463,215,786,811,654,
767,356,622,342,303,821,826,390,678,390,567,369,694,294,085,896,680,049,726,
861,830,837,324,182,899,946,503,253,229,633,092,604,813,851,251,516,622,260,
460,869,006,933,468,188,465,905,812,667,652,240,905,039,833,393,115,291,290,
090,685,560,458,640,807,085,705,857,420,394,363,611,594,936,346,313,148,437,
960,608,249,854,489,021,885,918,290,708,551,738,752,057,137,076,506,352,186,
409,542,868,912,337,472,723,042,829,939,868,029,505,279,404,557,358,972,952,
187,898,713,903,603,468,050,927,593,254,975,272,341,394,678,753,423,670,648,
489,193,947,993,145,790,653,077,337,952,803,347,515,178,097,449,928,861,178,
356,725,656,841,516,102,069,360,737,110,713,754,282,460,601,750,950,913,428,
636,569,216,227,982,599,015,574,989,136,176,962,508,795,632,530,493,544,192,
738,190,859,870,396,526,175,680,594,671,691,004,158,569,736,441,066,652,743,
383,644,110,439,914,409,208,842,641,229,253,721,141,051,180,366,418,692,560,
016,515,885,465,886,451,604,792,068,535,042,778,177,049,960,762,787,535,695,
649,486,311,719,670,890,491,338,908,820,405,697,454,736,299,083,930,991,015,
480,886,094,165,050,987,999,873,882,428,683,421,496,242,952,455,650,055,171,
353,012,775,732,317,152,127,352,150,442,259,338,068,802,415,843,233,592,215,
685,255,905,401,258,630,132,749,088,116,712,195,413,749,324,150,239,306,780,
337,684,596,969,419,230,751,924,631,079,398,768,923,773,752,167,731,606,834,
331,530,912,204,113,887,008,703,205,256,229,086,456,717,115,707,646,187,715,
100,191,624,796,194,965,011,736,444,267,160,893,440,314,091,420,556,180,437,
004,263,918,673,680,398,523,176,545,042,563,956,192,128,881,847,077,623,329,
235,572,596,164,694,263,509,072,418,718,180,704,647,528,076,185,513,048,365,
712,046,665,652,520,061,058,938,931,132,448,351,597,759,002,948,627,195,177,
818,046,031,992,336,470,222,399,043,536,757,034,238,769,696,050,685,821,546,
543,879,480,190,568,927,080,158,351,910,042,465,173,594,012,746,206,092,317,
961,508,025,969,538,958,646,384,680,938,818,293,505,839,769,948,664,453,203,
247,233,576,514,173,948,050,600,431,059,271,466,373,270,756,763,607,593,667,
193,646,072,014,686,615,889,378,159,587,758,487,513,549,320,784,334,596,894,
666,558,624,521,453,646,415,373,802,939,145,181,491,631,705,495,472,664,250,
051,871,122,854,530,733,126,678,354,882,845,976,134,686,273,732,034,608,915,
377,864,202,369,319,517,944,564,462,023,487,999,409,752,941,013,472,351,896,
462,779,630,609,552,150,087,851,992,418,478,294,518,069,185,036,768,624,924,
125,348,698,460,777,116,218,316,194,954,207,698,913,068,583,088,659,116,762,
442,487,924,137,546,525,845,701,002,198,154,107,372,375,146,080,882,373,552,
560,462,578,749,492,639,610,381,923,679,212,530,355,752,254,770,470,953,066,
894,141,646,441,387,008,000,873,541,168,937,418,853,943,576,194,751,985,540,
975,335,062,094,763,834,770,494,922,414,316,174,745,218,831,978,774,762,924,
783,494,593,280,182,162,992,559,414,973,770,760,770,094,926,278,412,517,554,
119,876,725,393,773,438,521,182,515,634,435,272,799,395,190,843,563,758,138,
417,978,161,782,732,406,971,697,720,134,527,303,784,235,875,692,784,585,723,
518,924,726,565,239,386,211,819,513,568,253,277,829,957,277,088,618,086,037,
050,986,918,353,668,425,907,905,537,929,491,515,246,494,457,758,970,015,120,
822,432,921,949,395,327,257,180,857,358,293,571,089,208,208,581,680,692,545,
449,304,476,143,470,200,109,110,353,274,681,821,511,678,627,652,205,698,268,
301,083,347,814,933,492,951,694,387,477,895,375,576,139,601,851,028,550,895,
170,667,577,550,536,319,022,556,569,088,526,025,270,557,777,808,761,622,926,
065,710,166,427,306,048,148,209,403,109,113,071,972,810,944,840,006,882,394,
152,541,972,549,641,344,864,510,045,960,696,319,259,898,758,752,092,005,452,
250,976,246,819,416,233,937,597,577,369,625,095,701,662,891,719,278,199,918,
298,049,147,562,639,233,828,830,290,674,899,638,699,856,386,264,887,324,752,
212,204,264,522,104,439,702,143,738,075,166,851,308,261,996,474,324,025,069,
119,477,899,810,612,421,055,082,641,617,538,143,729,934,257,149,464,960,713,
221,076,321,510,551,914,609,789,735,050,109,127,185,642,805,303,835,473,582,
946,124,213,261,715,123,756,225,200,216,729,112,356,971,785,780,936,294,422,
512,639,628,724,976,164,011,037,775,030,471,438,290,487,227,386,943,630,216,
205,626,332,896,428,768,713,527,031,185,177,908,141,885,498,189,480,189,686,
671,934,474,496,005,881,152,686,068,939,410,728,872,316,960,581,178,098,336,
589,293,159,506,677,976,915,391,125,811,205,503,523,616,600,515,554,699,097,
274,672,715,743,314,810,182,966,660,937,729,760,808,531,577,327,085,617,531,
160,073,080,955,628,951,780,258,813,470,572,433,072,787,346,350,675,519,909,
145,001,316,217,183,756,148,588,639,037,888,966,199,035,433,277,675,646,337,
551,353,732,173,327,962,616,861,116,410,407,966,658,194,287,306,052,084,399,
835,767,130,299,427,743,125,984,663,529,745,187,090,734,966,825,512,627,801,
348,746,532,740,635,118,195,313,307,801,573,418,596,151,982,172,314,968,123,
425,755,142,902,394,711,960,720,724,765,595,662,626,147,110,721,312,935,700,
236,831,213,965,045,363,154,876,885,549,253,003,641,725,362,901,338,734,277,
448,932,522,519,118,600,616,159,681,753,374,169,907,894,985,073,582,152,453,
489,932,361,214,963,446,504,895,906,642,447,748,726,656,121,533,749,971,348,
552,072,202,749,243,099,117,510,198,049,259,069,336,488,761,966,283,157,454,
052,393,765,893,921,032,811,169,116,553,601,882,107,327,897,288,631,447,630,
026,346,061,246,263,546,187,059,365,975,656,870,927,520,056,239,645,974,946,
357,247,942,824,116,603,231,477,001,431,656,193,709,343,931,004,932,413,280,
644,846,333,629,338,313,092,518,950,301,385,612,837,661,820,791,119,720,389,
896,397,420,801,930,058,548,264,643,776,291,486,321,096,371,580,152,008,932,
211,880,862,294,147,631,554,118,067,563,039,070,613,142,597,778,155,209,922,
793,045,917,645,701,498,427,803,104,172,742,073,472,576,794,846,456,630,038,
377,534,854,909,641,855,997,961,377,005,305,363,449,814,878,503,327,327,608,
107,682,855,088,300,121,022,111,779,515,420,414,904,796,162,982,003,080,435,
396,135,913,802,817,874,115,325,996,647,865,173,611,845,459,626,261,697,605,
719,635,890,451,970,086,416,757,240,507,573,819,762,119,699,072,172,364,699,
926,712,953,685,695,210,401,960,120,033,427,686,229,967,669,729,536,224,393,
309,283,359,973,806,651,098,878,514,890,545,256,446,824,523,833,095,599,042,
212,776,711,924,925,200,479,225,703,267,568,913,530,083,693,243,412,535,506,
547,324,574,142,968,032,840,191,212,686,263,241,502,312,386,337,715,338,501,
235,168,188,842,239,730,056,907,573,667,265,044,131,700,292,871,826,691,933,
564,325,012,948,863,955,790,670,572,917,719,769,319,730,178,638,782,242,148,
756,211,377,520,947,288,209,757,819,351,098,865,272,239,194,267,889,408,464,
912,001,414,043,493,172,078,280,095,331,598,843,129,082,133,695,234,410,078,
421,275,747,985,892,226,018,422,021,591,736,266,984,101,576,094,055,886,305,
324,643,655,010,707,787,685,428,354,957,096,883,375,651,804,999,765,997,385,
314,452,454,000,351,351,628,999,319,305,143,970,186,817,578,624,491,658,662,
183,444,798,227,461,432,548,253,472,307,026,575,295,771,356,929,732,556,365,
105,917,721,315,189,984,694,550,386,102,830,483,550,943,271,894,648,448,503,
006,463,483,473,267,635,237,730,344,238,156,565,833,841,208,379,137,977,526,
079,911,416,079,263,588,621,742,346,799,423,501,354,378,826,655,023,930,217,
190,448,314,435,514,079,357,254,152,159,721,690,366,288,707,461,644,430,951,
314,319,307,584,398,068,737,900,276,797,531,262,472,502,842,507,083,321,974,
058,958,504,647,509,137,423,598,835,645,665,020,703,547,212,436,159,082,119,
472,106,852,632,633,354,104,707,920,624,563,078,962,034,273,135,593,433,247,
209,994,599,484,778,346,798,433,152,796,806,414,545,183,630,812,117,631,878,
008,528,551,389,637,558,751,276,961,064,327,613,998,551,526,776,910,435,866,
278,929,883,304,796,088,513,164,021,949,846,130,779,787,866,888,888,410,138,
592,792,594,565,543,985,909,807,915,692,124,069,086,992,855,680,046,622,970,
809,159,086,360,241,755,834,633,622,276,862,108,661,079,515,167,762,378,507,
990,690,197,478,388,625,929,577,307,422,859,523,931,498,645,223,682,858,109,
556,543,475,946,032,429,964,307,155,986,014,044,750,485,005,934,522,976,968,
453,545,571,623,062,514,699,175,596,245,145,273,287,664,253,778,517,310,108,
301,938,267,192,611,534,297,582,831,516,907,188,504,893,506,670,064,774,424,
229,429,583,615,783,424,454,648,346,947,658,660,680,550,145,730,999,946,024,
593,518,923,328,871,659,369,839,190,249,706,089,359,052,092,531,726,799,270,
873,476,153,248,689,693,453,833,919,800,573,766,958,031,092,025,840,463,244,
942,711,538,824,450,475,686,818,858,234,931,792,867,393,812,907,231,775,488,
812,271,261,427,531,945,458,375,852,547,402,948,474,981,881,377,310,194,615,
203,028,893,358,162,922,342,408,660,685,827,849,830,467,407,640,384,695,582,
341,577,246,008,521,643,005,120,557,042,458,438,448,721,518,555,224,085,236,
321,262,209,065,957,106,503,772,571,827,509,617,692,936,470,664,618,595,777,
548,242,147,588,354,330,638,483,721,036,848,663,154,139,184,747,583,951,424,
375,723,750,222,711,983,771,374,465,920,170,556,239,497,805,527,283,406,133,
854,205,490,152,242,748,152,841,677,915,248,579,434,507,292,462,935,253,330,
709,560,862,961,287,966,399,974,912,382,575,961,744,390,930,818,607,399,664,
790,201,395,015,436,246,833,249,356,729,113,539,804,028,690,922,675,143,885,
441,461,655,298,294,584,856,329,410,880,163,822,130,687,836,579,911,832,326,
020,271,725,616,212,247,743,225,094,215,538,600,977,105,721,032,760,839,936,
879,631,064,341,560,376,808,438,898,877,870,533,892,532,930,245,171,240,357,
740,157,947,772,397,740,946,526,815,672,954,409,358,888,295,169,684,331,540,
693,479,735,841,343,256,853,505,769,572,494,374,965,891,873,103,129,656,209,
563,481,440,988,608,485,415,484,068,579,052,640,882,203,529,009,897,746,128,
198,674,501,693,984,547,326,654,576,291,678,576,809,756,685,834,446,978,825,
028,199,553,870,182,070,189,647,325,414,238,379,880,192,358,605,229,532,727,
252,113,449,921,054,612,921,220,711,235,441,801,306,948,558,939,024,067,724,
180,787,955,562,749,371,194,282,800,792,139,854,534,881,152,990,285,961,044,
999,555,711,153,345,464,878,772,794,003,643,270,952,840,725,106,596,276,213,
836,536,149,190,075,385,924,504,880,455,091,458,930,231,276,210,582,135,479,
191,283,136,620,075,399,034,165,170,379,145,772,934,351,299,000,595,625,150,
832,863,788,693,727,704,190,358,599,321,438,913,551,051,096,520,936,687,817,
012,451,365,822,608,043,103,500,951,203,188,895,056,505,662,197,831,931,371,
225,726,504,327,077,096,852,872,962,161,377,321,517,703,336,547,496,721,700,
942,881,142,862,814,518,289,378,237,339,651,733,505,630,157,534,359,776,108,
135,438,803,027,589,716,766,103,599,440,981,780,952,226,141,964,645,684,982,
259,821,271,493,520,385,636,916,047,835,391,594,640,434,975,566,008,178,401,
076,265,551,692,268,154,839,544,641,306,935,550,614,643,930,924,381,169,322,
318,801,943,545,144,407,268,813,931,052,664,635,054,461,596,468,536,639,173,
631,906,144,828,739,747,421,749,577,145,025,340,134,151,031,956,046,007,992,
452,623,542,612,157,504,481,207,981,465,307,582,501,745,423,873,292,338,929,
986,132,678,461,294,805,940,103,287,986,304,163,407,437,043,682,973,896,523,
116,471,807,182,741,908,662,799,671,197,881,041,857,801,203,607,253,233,617,
495,536,816,292,617,500,097,561,169,589,388,875,361,031,669,305,686,070,263,
470,444,621,774,468,206,390,971,024,978,887,633,335,182,626,379,049,923,094,
919,773,599,186,425,601,591,829,269,296,683,278,853,062,825,073,034,979,149,
257,267,891,980,154,275,240,385,540,181,546,244,859,279,296,895,902,512,317,
926,425,126,547,087,777,997,090,461,282,863,184,066,935,908,004,479,750,566,
512,541,618,850,934,661,938,662,100,122,123,049,917,422,608,158,152,948,686,
345,360,493,684,641,163,239,117,096,300,945,844,871,095,540,610,138,109,424,
879,630,463,917,263,991,430,893,290,108,604,717,703,953,165,322,743,364,181,
794,812,903,230,200,966,419,344,008,594,554,782,563,358,672,604,921,904,754,
501,548,817,007,401,356,419,560,612,332,055,627,382,812,732,950,980,377,404,
684,359,083,097,129,035,342,377,922,328,469,940,015,256,493,130,268,514,241,
377,443,579,412,951,612,596,811,284,858,814,479,878,603,251,105,878,333,589,
754,431,987,964,050,250,940,212,357,148,002,510,935,633,342,454,537,190,394,
874,680,075,142,348,609,023,787,759,265,134,495,133,893,017,922,689,341,160,
500,387,296,603,279,809,731,111,686,419,294,355,735,357,177,321,332,536,098,
202,097,596,276,630,440,995,675,355,502,519,843,424,303,074,619,447,122,765,
601,449,816,079,679,585,373,743,955,980,538,254,073,418,732,857,043,508,944,
596,477,113,642,627,074,476,262,826,598,662,055,888,134,358,193,382,580,608,
310,836,428,855,170,968,293,400,228,215,030,899,999,814,379,226,332,260,716,
960,535,713,612,178,149,204,074,265,028,643,678,069,131,969,963,434,877,144,
871,800,049,952,804,767,507,857,604,736,220,359,696,228,655,164,294,292,050,
766,245,834,296,835,459,626,490,655,976,516,887,650,595,468,238,734,539,434,
284,383,805,228,988,527,692,433,906,593,430,905,938,984,785,018,179,905,836,
235,981,873,948,455,654,153,681,552,297,488,591,097,958,822,216,244,768,705,
572,152,938,895,809,067,699,896,689,931,867,518,224,820,735,382,576,213,491,
071,295,189,882,815,760,608,969,940,005,188,793,870,790,336,943,875,264,974,
319,910,522,827,091,065,680,996,449,153,223,643,001,719,708,373,578,980,951,
506,768,050,569,945,316,929,939,459,350,842,519,182,166,324,396,215,751,800,
340,494,618,731,138,492,057,421,170,146,992,258,696,692,062,300,255,823,242,
270,366,992,437,148,440,492,686,740,966,441,154,649,650,243,263,707,878,817,
614,163,380,758,903,659,579,987,862,748,697,611,658,346,683,021,155,490,958,
205,781,389,717,106,938,609,778,579,440,067,324,015,293,517,695,688,093,266,
718,432,297,550,042,097,639,525,895,137,871,154,757,211,107,843,336,851,500,
062,239,025,262,979,490,018,717,433,267,633,752,529,244,873,783,201,679,655,
127,258,398,293,286,200,184,766,055,620,752,619,811,592,944,199,938,127,257,
829,468,424,977,529,925,310,981,802,177,916,795,820,646,333,619,785,081,240,
246,234,280,068,533,963,417,586,669,453,461,024,277,028,710,054,178,434,975,
426,718,978,743,502,962,629,517,700,062,511,786,455,839,197,047,876,841,492,
622,915,447,419,908,298,431,444,933,116,254,133,522,296,191,301,534,868,574,
192,626,990,789,454,276,201,063,046,131,669,589,941,086,282,583,868,329,618,
574,689,223,583,229,004,627,498,697,445,289,311,118,776,097,435,825,400,225,
602,218,766,312,688,986,475,312,260,337,680,278,613,371,082,756,352,987,623,
135,994,263,100,589,029,349,257,570,256,353,494,175,001,727,613,444,604,983,
777,636,834,133,493,064,625,796,764,586,992,435,819,869,560,987,752,512,661,
378,678,003,587,799,952,973,278,121,817,014,853,360,817,068,831,407,947,338,
827,679,293,455,763,550,651,592,070,742,906,234,535,663,558,937,439,693,300,
459,502,988,145,270,767,277,616,787,429,476,884,053,764,196,218,728,488,951,
193,207,808,951,629,916,737,374,043,370,535,016,799,519,891,950,691,440,286,
552,305,654,222,552,018,964,373,177,516,961,538,777,539,235,577,498,800,670,
545,651,969,775,231,307,028,070,721,058,905,130,370,195,830,483,133,976,572,
773,541,900,143,851,859,246,021,417,457,013,401,198,783,969,804,311,865,997,
211,306,774,287,328,217,011,018,765,964,079,653,608,364,318,134,921,010,397,
830,844,135,019,691,508,175,565,627,172,611,410,964,558,981,623,981,620,057,
318,806,340,872,769,471,108,590,207,589,132,651,432,793,666,825,831,679,622,
978,602,356,637,929,634,023,758,936,773,123,057,168,307,838,941,001,497,437,
947,851,180,894,557,296,072,285,268,646,580,660,807,650,495,068,375,524,210,
914,915,837,109,681,606,884,338,622,538,848,322,997,268,593,015,404,205,163,
375,911,717,191,785,553,542,986,508,090,781,161,856,596,841,068,906,790,195,
783,669,027,580,669,107,490,507,186,540,385,891,192,489,535,145,728,611,694,
852,978,360,453,850,465,849,971,355,694,232,952,530,667,906,109,705,307,082,
105,169,280,362,298,774,482,706,318,173,432,132,324,620,706,594,620,054,149,
274,407,111,723,059,676,755,456,644,595,070,779,566,670,323,986,178,644,725,
017,820,168,934,076,066,450,182,122,573,086,558,899,600,918,508,708,201,561,
464,142,357,277,438,793,497,760,126,996,600,876,343,256,649,744,849,502,323,
607,573,665,127,801,365,400,393,748,375,358,309,858,325,735,349,859,760,079,
413,075,698,211,472,094,803,476,660,532,978,781,717,290,912,311,132,027,405,
854,624,802,702,044,911,361,120,308,105,085,815,379,237,796,882,360,758,692,
453,496,715,698,191,896,871,257,254,429,213,743,907,562,540,868,441,690,947,
347,641,012,260,202,802,491,069,646,422,886,708,004,609,173,249,440,753,686,
342,928,806,672,844,409,899,003,048,405,600,670,381,451,332,071,499,340,764,
584,259,475,745,589,480,399,471,076,570,273,489,605,557,258,436,568,730,417,
905,389,837,328,694,887,627,865,948,258,701,313,234,701,769,152,943,964,979,
290,402,238,151,533,953,521,315,833,747,763,740,522,446,229,397,462,830,097,
618,877,200,954,706,932,551,095,471,484,551,669,509,053,804,041,476,712,369,
820,607,045,904,162,942,438,288,813,891,731,411,664,256,359,273,816,301,714,
204,242,783,039,037,855,397,824,359,185,157,317,958,596,347,812,691,461,094,
214,515,254,877,906,113,679,209,087,456,947,913,800,047,359,496,567,581,772,
300,809,417,062,287,435,032,668,866,589,183,066,780,292,817,411,904,226,777,
348,910,423,384,310,689,238,690,775,694,464,426,830,440,206,160,359,393,701,
782,814,666,942,277,001,357,841,075,344,283,809,393,919,773,348,209,080,778,
638,280,601,711,294,298,539,275,829,819,660,576,156,218,712,652,307,516,575,
772,668,304,438,997,146,226,079,015,486,220,094,155,704,470,317,591,423,654,
578,503,919,627,942,597,969,014,729,647,945,079,386,428,599,549,155,781,189,
450,097,744,890,000,181,352,533,753,625,296,186,625,738,305,346,950,495,603,
042,986,903,139,878,529,229,759,531,474,430,015,583,376,512,038,282,876,469,
009,132,430,664,460,301,205,959,970,196,608,899,435,707,329,892,311,976,113,
402,903,405,477,367,416,988,373,314,322,717,246,633,659,498,616,816,453,694,
873,846,778,429,926,489,127,855,196,518,973,344,313,855,581,094,683,432,682,
624,648,942,084,238,452,451,664,950,825,181,185,066,547,655,412,244,431,706,
806,681,073,512,865,109,468,778,150,541,124,183,552,787,047,503,983,540,462,
667,515,155,614,824,741,600,850,163,550,666,765,516,856,607,680,831,366,604,
813,658,681,068,815,821,473,353,506,449,419,614,857,361,537,745,167,942,194,
952,285,773,002,776,342,315,973,722,255,730,174,673,226,752,200,929,714,767,
652,832,961,912,131,926,932,985,315,020,673,454,928,710,286,879,138,117,770,
537,415,439,544,115,504,667,293,130,385,490,773,452,513,883,878,067,682,504,
175,576,925,415,636,817,998,282,374,617,533,752,704,037,714,443,714,155,159,
798,078,977,684,757,081,593,164,933,440,121,726,500,954,742,009,276,345,931,
395,802,611,061,228,905,903,125,772,033,024,927,612,064,913,057,712,934,989,
479,339,187,786,019,271,848,577,043,147,072,030,196,025,841,110,694,883,107,
518,960,839,328,370,383,661,350,058,202,481,860,136,603,158,458,115,241,144,
956,418,625,533,141,551,854,030,314,465,690,854,501,275,494,975,798,110,719,
857,200,044,143,581,600,927,672,742,460,558,122,029,514,907,642,915,329,849,
608,235,063,003,911,788,164,145,785,261,586,441,961,165,557,044,089,174,063,
637,448,419,314,814,991,212,444,039,477,996,004,863,852,507,371,454,229,201,
712,512,687,624,179,825,100,445,022,704,743,279,142,575,439,123,485,732,292,
438,307,987,384,115,206,591,111,770,517,205,595,739,241,930,299,304,259,572,
996,861,977,493,021,458,547,105,217,979,077,719,346,097,383,047,391,855,336,
217,503,714,726,952,108,556,790,935,792,380,563,869,167,467,170,240,385,123,
367,125,496,289,942,139,890,386,799,383,130,484,148,281,177,591,131,200,308,
083,242,035,376,929,549,540,599,629,264,637,006,499,465,897,263,312,298,932,
451,074,248,561,789,864,168,748,639,079,436,702,634,977,463,716,355,774,885,
740,538,658,533,922,975,597,661,285,169,474,370,614,622,741,896,838,850,279,
123,382,110,039,539,448,501,073,394,303,067,285,475,298,223,565,038,711,348,
345,657,877,018,288,620,714,933,644,698,813,044,641,745,423,624,151,068,986,
296,747,464,468,625,214,150,820,546,543,076,767,553,132,524,990,561,470,887,
822,658,492,078,903,132,221,671,344,391,828,905,043,634,941,498,726,076,166,
302,549,918,918,879,781,431,516,760,804,766,874,206,457,638,733,764,245,614,
588,512,632,509,062,638,098,132,840,347,452,625,801,412,346,824,933,923,974,
337,795,740,891,800,516,854,240,328,688,458,862,320,364,916,581,419,229,367,
111,030,481,496,355,135,289,428,018,616,690,600,862,590,116,283,334,585,904,
926,630,597,070,854,049,720,615,929,349,515,834,681,917,606,487,885,251,130,
433,501,135,758,700,774,967,784,644,689,121,276,530,778,479,950,276,686,032,
146,695,340,948,055,328,402,218,174,666,343,116,415,181,929,297,472,971,060,
571,321,235,272,138,869,560,218,175,744,589,047,268,418,870,991,930,295,342,
705,833,844,278,753,911,912,603,428,159,701,759,650,968,676,140,738,991,790,
646,656,586,592,707,250,547,425,707,789,070,871,685,765,534,368,722,140,305,
314,830,037,034,854,065,143,170,517,506,413,961,309,704,325,421,395,756,766,
487,511,496,644,080,568,762,424,171,698,740,348,644,149,734,155,706,675,217,
339,295,990,160,828,305,777,217,362,141,179,842,378,731,647,649,814,138,259,
566,660,370,383,451,009,002,771,728,639,378,835,079,180,120,280,133,430,262,
951,304,417,974,223,494,230,359,253,288,938,957,780,594,170,873,275,858,047,
510,143,798,815,830,714,821,281,349,193,232,961,749,250,357,061,092,004,888,
366,230,637,176,146,008,926,066,000,689,527,464,340,176,436,845,231,682,525,
156,378,986,610,843,075,835,924,354,355,550,913,778,898,692,080,495,408,335,
593,727,801,407,531,114,987,935,854,169,342,954,718,798,920,706,188,174,653,
472,963,632,421,257,104,319,074,862,857,400,306,027,449,856,871,087,929,432,
553,012,716,075,628,489,435,193,501,962,211,515,557,608,537,884,141,049,776,
688,700,675,937,276,517,080,654,336,484,522,930,117,197,302,460,393,345,794,
015,686,196,263,481,986,563,058,996,253,262,658,244,500,801,831,115,107,248,
941,028,052,154,032,551,559,185,134,989,866,064,606,034,050,071,307,712,179,
081,595,729,233,484,185,987,149,213,914,039,597,419,992,669,953,496,564,677,
602,654,923,112,979,345,513,636,023,701,908,410,597,336,111,957,267,425,144,
230,047,332,104,046,957,786,760,534,034,264,561,103,242,311,559,940,099,756,
766,683,757,272,098,451,531,511,391,110,755,331,022,681,695,493,914,569,549,
694,268,711,916,964,875,982,203,412,138,294,357,606,551,824,109,502,649,700,
957,624,968,476,094,587,293,991,375,206,030,429,709,130,433,224,662,821,086,
952,975,606,239,641,258,424,320,070,188,852,563,073,355,236,756,554,846,668,
017,631,687,046,011,850,676,959,420,770,578,062,134,898,416,519,658,719,759,
657,426,000,894,174,713,148,052,388,172,112,765,164,383,677,233,168,215,265,
135,200,300,948,695,533,129,542,981,333,930,764,957,717,643,230,362,419,386,
812,140,846,776,354,538,630,881,090,537,610,203,190,679,392,958,602,279,307,
354,921,574,074,704,555,387,130,507,235,616,023,884,041,578,640,596,997,957,
395,208,735,725,390,750,506,565,125,107,302,170,697,145,877,577,507,864,169,
738,187,231,481,028,913,968,556,200,251,635,534,909,530,081,983,317,986,672,
486,121,841,351,860,231,591,955,740,181,017,658,531,841,285,615,865,065,535,
011,849,800,857,267,973,241,212,343,647,875,890,189,561,468,739,270,128,940,
982,483,878,904,256,964,621,744,266,333,454,065,695,539,351,895,573,492,702,
654,617,505,455,279,550,244,397,440,374,304,992,057,682,118,391,467,235,271,
676,545,946,701,753,653,117,919,514,168,393,872,518,375,520,354,072,499,163,
870,910,565,909,067,740,305,352,852,360,673,029,046,822,198,616,094,467,217,
873,522,337,333,613,332,889,592,897,189,782,387,012,750,566,043,359,129,718,
128,478,944,364,087,853,474,984,783,549,927,656,829,982,919,766,692,046,028,
069,263,426,104,923,040,933,216,404,991,792,507,599,141,820,774,338,997,814,
636,411,687,549,438,397,412,396,623,482,439,067,781,564,300,273,242,542,120,
789,627,152,278,089,498,113,942,353,771,402,174,800,676,632,138,707,005,413,
814,973,563,421,229,223,477,567,141,047,670,688,120,526,222,793,695,710,898,
068,451,558,699,104,036,499,667,151,066,343,020,496,123,682,341,402,079,322,
897,183,734,236,733,698,889,585,245,454,911,447,205,314,688,819,504,290,987,
041,597,299,069,991,885,810,724,844,579,340,449,737,896,530,252,500,381,613,
094,293,901,206,484,660,507,224,786,363,463,706,890,790,638,423,185,672,408,
755,767,402,220,815,064,346,437,002,747,950,299,429,917,279,895,934,042,512,
699,731,037,148,567,316,511,039,270,725,925,016,886,694,224,059,582,711,986,
069,045,834,967,137,165,969,881,149,908,116,731,734,270,261,890,586,875,023,
871,742,051,802,255,655,812,475,362,603,070,006,510,535,400,923,432,463,636,
871,967,607,636,686,221,392,294,743,418,221,055,939,226,986,132,724,289,807,
964,321,301,426,354,415,155,900,217,199,572,492,563,730,268,985,160,923,376,
406,255,007,701,811,213,284,958,266,696,447,161,827,917,599,937,371,284,778,
744,972,016,828,871,627,810,616,679,276,147,613,379,240,665,977,592,298,087,
465,509,248,985,545,330,578,051,779,784,191,126,082,470,339,175,398,399,672,
704,015,787,743,448,638,473,562,481,336,264,845,353,462,450,409,604,722,771,
027,924,355,693,931,435,954,074,961,543,559,174,608,240,645,411,608,888,065,
872,560,219,698,693,192,309,324,056,909,060,432,006,080,164,859,294,950,731,
122,255,353,281,316,265,814,894,338,643,110,612,991,066,625,060,925,683,117,
075,311,786,281,261,583,051,146,319,864,807,043,154,673,701,664,548,334,103,
386,591,029,487,833,017,287,350,497,123,334,388,088,806,956,814,269,078,979,
637,434,795,117,836,041,086,516,418,293,156,014,639,086,743,814,719,518,958,
053,727,794,267,786,663,925,746,904,176,952,280,477,443,891,323,156,391,480,
937,614,823,201,001,101,356,752,352,557,428,062,077,732,765,411,924,846,074,
006,671,460,909,246,392,513,490,715,974,831,362,684,723,837,938,567,954,118,
108,180,576,533,774,679,712,306,579,968,448,014,412,465,483,270,061,454,571,
401,997,382,215,048,047,818,087,682,480,043,694,755,139,902,456,646,180,032,
583,364,334,065,989,578,955,093,654,570,310,418,664,976,097,694,978,195,845,
558,331,528,861,045,123,709,376,116,870,040,068,511,395,751,817,753,845,478,
811,303,812,220,103,421,385,099,245,925,237,909,781,456,812,370,807,998,390,
434,802,962,553,946,620,017,390,139,677,918,378,203,757,069,933,960,970,334,
214,255,612,780,479,103,265,425,100,014,263,568,785,894,828,885,691,624,464,
297,510,054,613,304,420,071,162,885,511,950,812,920,968,857,115,845,912,715,
019,817,692,611,565,176,676,951,083,826,807,577,109,421,073,526,006,100,369,
306,782,912,975,334,607,184,502,373,316,784,052,828,367,965,521,591,668,645,
751,048,065,929,374,869,875,598,468,910,290,774,326,503,168,977,043,085,556,
368,756,139,455,988,986,380,497,774,698,701,810,971,164,829,132,145,070,713,
519,827,094,423,498,276,945,410,315,187,886,730,243,688,171,171,846,663,001,
118,714,216,165,365,934,908,446,705,668,911,332,457,204,960,874,314,636,804,
285,452,316,477,988,168,520,988,949,097,939,619,777,913,987,600,613,815,755,
805,119,121,062,041,444,314,085,305,235,080,477,725,249,672,380,033,536,619,
484,099,521,121,068,063,844,260,351,275,721,047,289,225,001,217,829,470,764,
020,601,421,156,180,697,070,788,250,280,810,230,962,666,037,973,284,386,101,
032,867,907,679,973,720,270,934,232,867,313,760,002,355,071,416,314,184,368,
468,936,246,412,566,979,887,592,133,080,198,191,640,364,993,651,208,232,503,
624,812,911,335,311,986,439,123,016,972,582,179,294,091,152,972,453,201,986,
633,409,636,474,119,449,835,601,754,920,023,302,930,443,082,179,977,980,422,
138,006,127,974,906,823,195,671,052,551,615,226,817,281,981,027,405,167,038,
778,763,162,460,242,383,808,497,447,981,203,011,031,198,531,606,136,570,179,
925,929,567,999,571,741,886,354,047,351,884,475,800,690,515,297,825,274,448,
046,292,639,959,477,141,812,567,671,695,504,365,122,551,605,372,638,017,533,
889,957,057,845,490,882,096,792,270,754,265,122,506,860,813,370,100,980,148,
990,768,639,887,314,959,848,715,643,698,150,799,231,756,401,684,799,658,473,
141,082,990,806,588,969,190,169,089,344,072,696,444,383,996,316,151,274,362,
341,584,265,084,232,239,804,857,662,437,529,233,473,257,541,760,343,085,634,
663,028,634,789,620,111,088,638,785,898,105,939,210,470,552,706,336,497,801,
992,459,108,607,951,965,239,504,856,184,113,438,661,784,489,343,048,949,117,
596,194,774,912,401,556,158,442,010,718,370,729,588,023,893,810,228,834,326,
125,578,122,190,279,925,128,676,834,033,832,472,523,680,703,464,290,562,873,
849,095,542,510,223,423,299,556,173,365,661,044,955,212,657,894,611,454,011,
301,063,618,262,621,597,462,039,369,976,067,356,489,001,886,313,585,766,099,
783,641,952,075,012,067,403,063,366,993,281,246,101,159,995,128,477,989,222,
883,167,369,122,491,099,718,976,413,091,216,357,855,456,705,547,093,751,059,
670,607,323,200,315,396,089,355,573,791,936,685,438,070,637,365,168,125,159,
651,739,156,021,859,588,162,688,712,088,055,703,385,640,725,004,508,411,977,
966,742,218,223,750,369,904,025,832,235,686,957,210,596,919,895,581,563,793,
601,591,365,640,703,180,280,903,646,644,588,336,054,221,218,549,900,420,640,
187,858,048,542,777,142,526,743,704,957,885,662,550,927,196,019,018,734,647,
205,745,318,321,283,228,568,370,597,684,370,845,447,838,565,512,617,691,917,
860,896,123,123,360,518,884,179,310,098,022,963,569,376,293,765,440,783,185,
684,601,893,440,803,660,793,249,506,837,881,394,598,314,045,325,590,893,002,
216,119,528,941,565,328,935,983,423,126,734,437,291,983,115,103,771,843,031,
393,965,678,292,039,201,804,686,701,839,018,887,185,948,964,390,822,594,708,
567,344,573,479,888,351,821,591,416,336,858,629,841,129,638,003,804,384,053,
717,716,808,554,052,601,546,575,473,203,647,736,646,407,108,556,465,063,318,
232,336,637,164,391,431,925,133,436,684,521,089,086,600,423,042,836,368,915,
784,976,788,081,953,203,189,550,156,162,120,804,484,025,158,723,267,672,302,
940,592,903,593,790,570,199,495,183,986,692,089,045,880,138,992,733,391,559,
142,771,452,723,126,104,697,320,352,611,619,799,737,154,510,575,794,936,704,
247,400,718,745,089,533,581,293,219,661,707,313,585,862,646,943,692,893,529,
331,017,897,082,918,400,152,127,487,589,121,227,717,116,444,515,834,038,542,
943,351,606,946,053,945,947,564,372,878,373,383,301,601,938,053,735,396,847,
555,409,041,458,251,957,926,464,278,936,347,370,255,717,618,375,805,770,016,
991,461,100,404,929,374,397,770,969,705,524,194,392,615,005,124,913,973,709,
593,827,518,865,630,105,462,212,401,969,039,895,385,161,427,277,974,326,388,
417,807,950,962,720,866,862,964,815,709,926,293,587,206,735,646,163,894,932,
791,258,284,266,107,244,262,084,148,485,690,264,867,213,906,876,423,793,272,
427,502,892,407,032,726,842,783,274,638,141,617,778,019,063,105,222,581,745,
481,324,732,742,614,817,586,885,795,371,686,279,586,154,141,352,997,258,161,
530,096,120,550,902,828,232,391,300,000,647,343,276,289,866,506,890,389,046,
856,334,692,173,604,143,055,754,659,319,297,256,554,634,260,172,530,120,762,
227,940,433,171,546,570,564,957,914,228,339,178,145,241,506,556,680,370,272,
519,380,176,354,490,403,490,496,952,987,466,084,625,968,367,343,959,225,906,
560,983,375,252,638,872,485,656,184,600,286,058,892,102,462,715,054,907,016,
994,238,190,978,801,229,153,297,942,326,043,416,052,357,130,565,850,339,224,
047,095,381,678,607,071,452,841,682,042,907,532,754,137,333,728,511,496,917,
863,746,231,113,612,693,407,867,549,782,328,177,093,635,911,506,689,360,159,
909,537,284,156,435,087,972,210,192,557,976,747,430,741,538,593,302,305,695,
191,250,046,292,653,783,504,436,342,900,019,137,609,318,019,846,471,055,800,
303,754,887,103,018,268,403,816,442,933,113,633,061,664,857,666,177,428,622,
314,878,648,415,907,765,180,749,754,673,243,492,080,444,846,189,527,721,494,
800,824,925,446,712,392,714,499,706,143,672,327,718,278,825,548,352,765,172,
022,348,865,402,091,597,193,028,552,595,137,709,342,763,840,654,807,360,088,
460,089,982,108,126,928,544,912,568,434,162,660,178,676,317,023,152,834,217,
157,841,577,798,216,240,128,529,234,058,144,693,535,532,140,805,827,372,296,
569,801,483,503,157,474,880,196,511,232,665,889,581,942,410,970,028,310,095,
460,273,971,108,719,919,268,354,043,870,817,002,297,138,764,296,899,099,323,
179,163,898,510,566,455,478,352,256,251,411,841,260,115,809,853,006,419,995,
047,589,748,271,797,246,263,797,612,475,012,903,271,246,092,733,987,073,290,
882,558,709,045,092,734,462,714,056,621,207,241,782,663,637,549,598,885,807,
994,454,193,303,444,531,543,124,167,476,027,021,659,480,907,226,370,360,967,
309,103,818,150,037,073,780,273,138,588,517,638,769,108,495,526,460,029,061,
890,667,117,072,394,116,725,701,494,815,989,888,188,930,891,618,001,813,453,
292,420,287,617,105,192,722,334,788,491,019,905,254,946,961,301,139,249,272,
723,936,278,901,118,705,560,338,629,820,425,237,061,276,846,747,675,328,249,
957,176,515,343,502,485,432,558,405,466,115,255,287,647,868,802,559,485,471,
104,522,081,271,139,393,129,290,312,293,338,777,478,747,580,904,382,308,179,
587,969,274,603,601,224,129,138,050,186,764,906,813,177,533,248,415,993,763,
308,398,836,532,800,424,691,092,128,287,539,658,478,044,948,422,215,787,789,
072,234,150,374,744,926,109,112,689,907,107,680,095,216,836,120,285,692,602,
115,791,725,936,197,492,659,884,805,325,123,058,772,063,347,482,038,656,949,
556,655,891,317,661,774,128,659,942,761,169,606,550,860,319,267,148,162,086,
117,797,924,572,876,671,648,382,906,135,749,172,359,368,451,332,654,540,726,
177,234,540,084,074,202,640,500,810,290,871,382,497,261,754,450,230,362,618,
871,129,551,213,219,656,681,867,842,279,017,658,436,632,952,422,498,594,424,
975,289,075,427,716,864,788,822,229,040,069,608,530,519,482,673,211,539,634,
036,798,787,482,992,154,151,977,751,853,675,617,616,553,582,479,558,318,753,
505,958,520,331,686,495,325,157,559,546,501,385,250,051,740,027,950,725,615,
455,535,285,516,671,223,487,218,658,215,322,264,757,040,204,691,756,089,337,
261,023,933,270,094,909,222,391,405,128,322,309,478,798,839,432,351,687,776,
475,894,503,590,849,406,861,066,641,059,835,202,040,001,247,140,194,973,457,
367,207,670,299,586,388,956,551,205,122,158,155,445,223,759,553,990,428,267,
450,282,496,046,689,823,970,369,924,187,125,333,513,206,566,024,926,905,897,
499,744,640,400,206,927,714,288,110,178,094,122,753,145,020,178,461,716,970,
689,841,096,687,021,584,901,725,355,349,913,825,637,694,893,891,035,529,272,
691,606,597,896,216,999,036,562,406,714,063,632,739,840,865,054,850,949,649,
002,899,936,024,541,482,205,849,363,160,764,035,452,337,281,637,334,654,987,
221,681,277,477,045,631,437,805,393,962,623,012,405,776,445,947,702,448,839,
193,675,257,905,095,981,720,756,492,881,103,522,456,081,454,734,072,609,305,
537,801,235,690,436,238,050,036,690,288,988,203,654,813,524,683,188,977,174,
014,495,423,621,530,812,672,361,061,511,723,733,238,560,233,234,365,703,276,
830,151,617,700,061,644,538,616,627,285,951,382,211,869,903,990,443,231,052,
199,494,847,785,727,882,917,715,775,418,733,680,317,378,493,876,794,524,202,
347,036,140,430,468,816,481,974,158,461,314,100,607,427,271,368,291,639,919,
104,572,355,470,499,084,895,877,802,183,035,988,950,013,874,202,318,059,256,
462,018,484,270,219,255,161,053,333,115,429,919,074,769,261,015,030,839,520,
924,321,794,569,059,129,613,855,475,758,070,940,190,527,046,391,819,938,875,
803,242,849,627,935,993,945,391,368,641,311,015,696,465,101,199,680,709,163,
495,849,513,662,856,363,709,069,303,820,417,716,250,710,245,830,425,873,506,
274,294,925,979,557,178,331,615,560,849,742,999,291,712,327,421,840,780,242,
499,898,286,529,376,249,106,968,185,742,749,451,663,882,639,334,298,486,467,
940,964,710,851,587,728,520,092,454,854,951,998,548,374,392,671,697,424,810,
347,126,554,360,184,195,133,258,866,367,348,526,782,288,294,648,686,651,705,
585,359,226,230,877,386,474,535,071,540,779,506,944,645,670,770,443,560,894,
999,216,747,327,085,857,717,884,609,389,456,488,996,354,182,832,259,831,149,
733,712,901,495,004,517,592,093,007,707,642,815,755,920,753,934,619,421,203,
275,138,194,101,642,873,784,512,718,609,030,029,756,050,662,745,580,840,314,
956,074,839,865,282,213,334,161,965,143,373,557,951,300,953,126,589,601,409,
063,974,185,662,371,443,104,625,999,618,310,491,481,937,475,829,841,155,210,
970,918,620,781,751,542,912,180,350,106,752,696,871,263,521,162,057,885,580,
036,258,345,353,269,553,973,947,457,658,864,182,076,660,480,768,049,237,764,
975,947,589,113,236,743,437,149,709,286,575,512,666,484,177,453,596,897,964,
871,418,309,600,156,326,883,387,023,968,619,111,234,713,428,466,630,150,700,
387,209,516,420,816,436,357,082,594,668,584,603,780,547,036,306,280,962,880,
445,140,240,384,955,215,628,424,636,539,308,855,872,541,181,462,618,735,201,
725,916,362,858,843,458,303,602,259,836,811,455,011,913,193,920,268,787,566,
224,096,482,883,857,188,830,298,336,769,244,560,294,698,524,355,017,448,344,
166,058,938,307,577,116,236,967,774,804,340,657,585,478,323,256,192,684,737,
049,513,265,288,635,202,413,069,079,602,648,292,919,552,840,968,304,182,233,
135,786,662,080,190,784,557,739,385,925,835,645,156,925,395,315,386,626,535,
717,335,873,084,294,621,564,936,455,162,478,829,848,818,635,424,187,733,775,
243,311,265,570,217,896,998,271,077,128,298,662,968,567,478,599,820,446,393,
835,279,227,431,569,707,920,824,202,913,717,498,400,161,846,090,573,495,246,
876,388,071,774,879,955,350,497,710,186,129,958,349,849,847,178,627,731,348,
572,351,627,679,503,970,816,893,799,012,728,886,622,761,267,884,369,170,690,
000,744,391,871,376,290,302,929,704,325,687,759,786,731,424,434,867,180,923,
507,965,872,679,045,884,255,450,272,684,339,457,915,136,860,235,011,505,512,
890,824,460,888,800,347,587,270,697,324,530,592,979,824,407,896,651,755,445,
327,109,335,801,732,424,194,003,550,412,934,767,085,577,612,201,139,166,229,
892,457,192,006,936,241,116,195,687,955,106,207,468,599,782,784,930,376,104,
999,353,568,603,996,520,697,746,872,719,333,923,445,422,729,278,814,406,055,
540,675,969,406,022,611,291,696,922,253,367,850,772,792,657,196,066,953,953,
495,485,988,925,990,006,579,591,782,003,467,513,186,802,966,661,418,574,347,
943,000,038,894,746,520,660,669,516,003,316,910,671,710,554,117,261,589,426,
215,715,933,217,074,891,120,446,366,075,399,893,762,504,632,811,677,427,740,
631,372,611,226,378,864,048,838,402,738,224,236,438,147,463,616,354,260,739,
311,797,320,154,598,497,278,944,746,507,898,661,159,494,523,681,618,566,619,
251,017,022,721,288,559,803,867,563,096,930,939,570,357,849,413,976,589,879,
130,026,993,976,807,009,435,537,899,740,842,660,813,576,392,984,000,917,393,
776,929,696,116,004,658,016,844,854,787,739,303,942,559,267,749,012,869,633,
449,706,433,510,175,045,797,340,963,200,953,747,856,040,159,967,931,377,144,
111,430,931,264,190,849,136,811,983,856,843,701,604,297,234,290,551,988,851,
726,631,812,541,904,915,767,432,809,292,999,984,793,920,480,080,943,836,859,
889,763,492,790,686,235,653,804,406,372,754,541,168,685,418,177,415,489,523,
810,307,803,427,514,215,185,965,668,374,915,455,295,013,801,001,609,181,485,
959,500,768,502,724,703,736,361,621,639,184,438,011,357,840,001,054,152,746,
534,396,272,360,604,304,911,954,256,829,419,225,880,214,655,692,353,929,613,
506,856,945,861,489,273,980,339,063,659,751,889,517,559,686,944,118,339,281,
265,356,476,823,067,820,975,249,477,100,164,061,761,264,475,045,102,371,589,
593,642,020,541,473,686,013,821,992,536,124,483,434,142,586,133,836,141,000,
107,517,710,066,988,031,810,363,540,126,594,336,639,722,526,095,117,760,246,
992,169,358,082,592,008,086,528,099,121,919,738,728,124,838,317,964,544,059,
077,919,893,162,922,469,347,913,609,772,665,937,893,881,210,569,978,732,472,
441,284,904,788,829,003,890,392,070,568,875,407,256,439,945,291,153,693,885,
629,470,292,237,220,811,308,082,498,843,103,439,479,311,930,401,894,838,863,
544,807,571,797,962,185,346,180,179,885,887,668,364,999,125,199,529,886,490,
569,393,954,394,392,245,256,655,573,434,035,761,059,798,719,877,576,943,419,
158,044,625,113,852,652,450,648,884,385,670,301,954,702,093,122,668,173,942,
148,971,426,574,641,720,331,142,790,119,440,191,787,955,994,823,136,030,330,
341,177,013,020,219,917,473,032,401,190,583,170,501,381,892,379,029,347,981,
027,162,121,125,346,648,551,047,751,356,127,111,878,651,468,717,869,225,198,
584,334,750,523,848,573,711,427,582,836,759,120,365,468,782,195,982,953,589,
453,577,381,607,127,501,059,887,904,269,060,635,009,071,303,968,572,371,363,
777,979,930,827,109,580,270,127,604,070,569,066,013,753,827,242,325,804,572,
425,203,917,919,130,255,568,031,044,276,255,891,814,404,029,946,950,046,389,
842,949,301,959,323,226,716,729,509,010,129,997,809,867,868,227,102,483,349,
567,908,037,939,814,789,379,880,423,097,680,709,071,721,192,173,300,046,817,
035,751,441,172,503,439,207,639,247,671,842,275,956,144,916,156,255,061,948,
949,635,652,111,025,327,789,246,573,428,188,373,545,628,620,293,838,204,529,
962,592,130,103,204,111,469,011,108,672,798,714,284,107,441,076,372,750,123,
169,886,012,895,249,642,685,270,581,372,014,738,445,490,479,654,317,941,467,
176,625,053,353,807,105,542,764,386,732,129,116,870,423,622,973,690,296,910,
446,572,291,586,473,329,751,496,471,977,548,812,031,237,976,630,077,122,039,
872,656,671,557,192,795,026,108,110,712,243,541,428,492,062,956,230,349,857,
240,210,132,201,680,693,285,005,532,518,293,737,252,725,847,904,717,457,282,
170,949,114,864,410,042,849,925,249,927,407,505,618,444,926,495,164,681,326,
131,092,181,462,094,573,507,983,562,094,644,069,205,581,790,725,706,113,604,
280,662,179,509,193,302,656,832,217,876,686,762,804,523,261,730,272,299,897,
811,572,325,121,742,411,590,963,280,289,340,911,342,919,910,197,903,449,362,
048,884,001,146,926,162,461,656,253,882,347,584,627,309,132,131,754,938,646,
167,981,557,863,773,630,127,098,227,563,352,135,737,469,330,455,901,275,350,
291,074,613,136,661,419,328,501,985,697,653,818,626,212,263,663,023,952,088,
150,566,003,542,412,763,523,339,503,596,173,168,832,352,887,864,766,873,877,
280,896,316,897,748,440,161,938,926,080,140,253,600,347,802,361,159,380,067,
580,744,053,026,430,229,115,530,623,016,644,352,527,266,311,700,259,911,415,
752,392,367,170,872,134,054,412,867,761,044,331,909,980,664,399,354,980,481,
308,031,518,801,260,450,485,976,983,604,563,237,600,376,500,791,211,399,129,
269,260,081,903,216,368,536,651,500,932,221,188,094,512,234,998,657,952,444,
998,821,520,774,938,786,664,079,099,359,643,167,509,411,947,493,746,976,146,
339,314,129,674,784,630,276,211,896,844,544,451,849,040,844,756,553,325,321,
732,295,074,592,842,148,123,376,401,042,208,006,281,671,541,150,787,949,792,
094,510,406,346,947,117,148,190,152,573,222,316,864,843,329,436,780,638,226,
890,883,248,281,170,713,081,317,380,622,487,853,916,676,405,540,893,086,492,
404,961,860,281,442,960,688,116,166,623,318,656,295,807,322,297,898,212,759,
293,367,381,239,041,672,539,963,397,636,287,176,138,718,090,144,801,520,904,
840,230,760,358,294,936,002,189,393,219,079,616,887,307,083,711,817,636,605,
442,539,168,976,689,246,542,584,831,651,147,486,512,218,108,078,741,407,222,
621,436,981,638,051,836,103,455,525,700,547,071,712,429,060,885,420,763,673,
092,627,158,835,374,254,167,831,710,335,469,935,995,518,784,888,271,353,565,
896,310,462,426,325,983,269,446,828,818,987,082,852,741,795,598,943,972,154,
318,896,738,207,135,516,552,576,441,150,769,367,367,749,051,026,619,473,276,
734,531,151,918,194,530,395,099,597,899,278,825,318,164,801,631,677,076,187,
574,618,947,139,324,871,340,895,307,705,914,881,968,596,525,319,364,465,949,
010,297,016,117,431,437,512,266,284,200,034,795,915,961,385,503,748,185,731,
832,634,528,246,483,896,869,207,100,497,261,666,617,535,206,451,870,083,033,
963,813,925,578,134,157,622,618,177,150,434,727,198,251,667,855,701,034,830,
307,683,781,890,743,623,436,573,299,747,983,733,300,645,599,018,216,382,085,
172,896,893,355,121,695,096,068,321,930,657,675,266,240,509,134,973,308,880,
871,315,930,828,166,799,185,750,253,012,674,249,006,218,989,203,642,500,806,
942,893,827,551,104,150,672,202,583,635,655,665,490,767,627,209,314,784,727,
163,309,619,894,089,223,154,630,196,333,179,531,323,646,038,368,835,087,518,
448,883,982,247,997,177,233,001,439,045,538,281,495,012,121,184,665,050,268,
201,796,817,995,826,856,049,283,758,412,426,740,079,701,467,335,161,016,882,
986,121,320,884,300,987,265,103,218,679,303,994,901,244,158,088,055,105,883,
383,664,110,176,423,644,450,408,236,189,363,698,825,547,796,240,828,635,170,
595,119,396,499,353,019,592,074,570,657,616,990,636,879,669,557,757,278,158,
809,406,069,925,783,773,654,828,400,584,904,799,941,514,421,709,742,967,212,
837,850,864,133,015,690,834,164,510,810,541,230,031,167,168,654,652,937,011,
155,774,528,165,987,291,110,392,799,741,032,903,268,014,451,933,816,666,912,
326,975,237,062,128,925,902,745,979,364,239,715,058,025,204,615,979,121,607,
476,510,082,309,769,317,872,657,613,825,093,934,389,265,257,107,874,845,642,
243,792,706,024,948,027,068,251,760,886,108,690,924,350,214,823,417,234,896,
104,674,322,724,271,473,846,688,609,228,219,910,564,161,332,417,504,514,474,
984,652,162,126,797,417,585,680,868,559,999,300,418,391,320,100,265,637,974,
290,735,433,270,559,550,240,021,326,429,430,900,538,475,850,983,399,283,315,
363,627,134,476,931,066,031,592,675,825,005,731,267,365,899,117,828,368,030,
376,685,832,143,852,251,154,861,209,945,188,995,976,763,740,250,160,988,574,
387,762,396,184,305,445,074,823,537,158,498,977,561,460,784,982,749,094,059,
897,672,651,611,991,124,649,170,812,532,188,812,558,386,569,191,142,955,119,
468,029,646,939,696,055,572,636,219,440,924,898,104,211,165,052,801,183,252,
625,545,810,234,855,053,357,193,447,482,969,044,969,848,652,272,982,473,237,
477,050,908,397,284,823,637,183,379,971,153,670,099,230,384,705,769,240,925,
936,176,043,373,994,385,516,410,786,867,975,610,074,917,957,424,603,242,866,
408,199,061,228,193,277,193,107,203,344,996,231,472,285,900,288,240,269,659,
964,644,532,405,648,263,117,176,925,114,809,467,637,899,810,029,372,007,475,
478,340,374,990,245,048,331,137,032,399,842,679,207,439,687,198,126,555,075,
543,790,870,294,050,510,788,536,834,248,137,844,893,556,901,187,638,883,589,
607,942,557,423,265,320,651,785,764,033,922,584,587,391,903,233,478,244,490,
566,036,866,363,037,748,958,228,994,206,060,502,297,047,537,047,013,961,746,
324,333,902,743,146,085,940,125,940,739,770,700,544,958,731,975,497,760,075,
097,687,837,472,326,745,753,475,012,654,070,669,421,399,783,708,607,112,520,
338,590,745,967,854,822,425,281,424,376,074,555,782,609,595,823,471,729,346,
195,239,096,764,000,884,458,800,356,550,615,273,031,920,827,588,220,628,679,
237,536,051,512,694,751,238,041,473,866,201,515,536,054,670,637,849,178,906,
533,060,895,151,104,938,751,188,308,155,978,460,705,021,256,513,292,762,412,
937,116,440,187,673,355,969,161,634,095,297,121,370,517,180,874,890,573,324,
365,206,620,258,117,281,213,860,511,378,622,480,666,913,730,247,807,057,747,
966,578,197,033,800,133,502,644,468,083,016,489,671,416,327,744,047,773,455,
174,394,300,384,851,942,104,289,781,323,741,872,498,953,896,032,589,115,381,
526,010,893,283,027,639,067,440,692,670,992,549,647,314,506,802,127,817,245,
797,232,528,822,720,462,122,837,435,451,980,506,229,506,696,797,435,352,514,
717,694,284,321,159,508,864,796,267,376,415,889,054,415,923,023,110,438,582,
580,595,973,664,374,568,972,812,050,769,562,872,195,376,631,060,670,031,658,
951,837,096,676,903,733,991,351,535,368,080,982,668,526,597,206,876,366,089,
884,679,379,644,024,168,833,578,587,339,914,317,079,397,616,864,707,066,783,
790,586,668,677,133,339,536,335,156,552,411,301,274,775,217,693,480,047,128,
066,495,174,185,405,602,337,215,735,820,550,612,208,528,274,156,288,237,502,
321,101,195,746,870,586,078,277,875,767,782,114,968,101,365,321,629,976,092,
316,742,547,129,734,939,736,117,254,090,355,973,766,716,711,137,905,739,084,
581,131,209,347,037,097,587,094,878,763,725,054,180,568,129,849,818,194,742,
886,620,256,480,232,613,276,735,140,063,145,455,980,282,284,892,169,834,711,
305,169,554,313,958,614,233,995,874,097,181,638,320,645,319,100,815,536,866,
602,916,595,196,429,117,462,498,638,297,499,111,150,882,277,334,555,117,610,
581,821,088,258,153,086,147,026,449,073,152,584,527,416,636,278,245,581,803,
401,022,769,547,661,045,725,517,563,001,341,255,027,411,344,205,473,024,486,
123,562,280,090,069,938,338,484,340,085,789,229,585,625,787,087,275,841,626,
586,566,188,883,519,966,275,677,400,328,622,970,058,579,399,461,753,463,098,
105,198,878,684,666,476,701,269,470,025,795,246,399,954,547,799,573,185,533,
284,822,481,049,245,466,800,665,321,819,057,740,999,481,944,639,029,527,060,
893,273,908,533,010,946,805,991,513,859,380,263,831,169,854,889,488,437,434,
753,212,939,703,008,800,497,656,610,461,526,125,343,567,991,960,304,515,058,
168,951,170,152,041,593,329,309,349,403,727,988,974,542,375,706,468,262,171,
888,522,073,198,654,750,176,994,102,935,878,164,249,727,045,361,669,866,778,
498,382,769,242,498,097,864,008,344,523,287,916,150,655,791,860,113,959,957,
982,723,554,781,610,554,892,217,555,451,899,322,208,131,381,810,784,410,710,
654,511,006,878,164,511,666,855,826,016,558,389,997,324,213,509,169,994,990,
784,867,235,906,849,733,560,696,998,770,717,391,455,049,522,309,507,504,836,
364,786,187,850,954,045,047,586,810,130,027,847,414,926,181,755,081,246,978,
383,413,288,363,381,081,014,740,212,928,047,399,670,729,067,287,671,175,220,
221,860,835,284,075,627,726,989,164,734,941,930,344,677,826,144,672,252,772,
343,244,784,558,226,191,425,699,536,132,703,954,530,940,619,578,949,448,393,
565,878,067,894,755,575,032,719,742,167,506,790,076,648,710,454,631,599,921,
272,458,473,840,391,229,346,107,755,921,433,415,061,988,184,999,734,673,216,
352,312,248,066,596,976,425,505,051,902,847,162,932,797,959,910,441,226,536,
841,739,562,418,264,285,738,924,983,048,361,104,892,239,358,109,582,206,741,
812,020,161,393,642,821,286,986,467,699,845,132,591,048,113,894,109,472,860,
051,733,525,704,575,116,391,025,397,918,613,711,142,171,055,008,555,686,137,
917,708,244,834,107,750,836,880,214,171,033,162,879,026,986,980,043,495,319,
941,848,424,501,037,427,279,786,805,153,371,324,169,348,463,535,348,493,645,
184,883,035,898,455,370,234,710,009,658,382,997,299,188,747,962,939,414,657,
276,974,022,052,446,188,999,213,064,233,969,921,611,323,507,736,838,135,269,
381,023,532,656,634,170,106,555,414,954,607,630,473,171,314,943,819,251,391,
278,025,306,483,634,635,023,004,829,050,763,401,188,688,288,559,456,878,337,
452,515,477,449,817,611,435,426,478,286,579,673,629,148,912,457,054,038,863,
780,573,489,252,821,304,001,545,680,842,777,885,960,208,916,295,832,802,947,
477,143,093,864,445,344,494,493,284,760,306,506,932,441,910,589,823,917,178,
308,012,744,429,642,887,225,257,212,288,527,783,276,653,926,567,183,561,102,
281,590,309,657,063,662,415,649,914,448,847,784,111,446,976,884,369,295,825,
178,350,677,377,869,870,427,442,680,233,132,485,150,387,626,191,809,197,127,
894,184,950,369,782,371,670,277,197,326,683,632,515,196,383,305,535,059,872,
450,134,300,089,549,824,425,726,819,469,194,301,875,070,238,688,359,423,657,
850,911,909,750,865,193,255,896,820,249,956,564,784,963,907,426,099,726,398,
172,899,613,923,162,575,921,000,531,442,800,249,444,035,687,968,342,446,349,
185,788,332,462,056,934,665,271,935,348,829,337,065,065,709,083,314,704,186,
961,215,872,996,710,895,091,522,896,156,122,491,668,328,612,965,429,863,552,
143,294,360,738,609,906,477,184,242,983,081,082,994,218,396,788,716,360,173,
725,278,667,201,819,255,783,639,737,814,944,926,033,807,570,383,184,000,275,
344,482,427,181,292,407,470,592,441,905,008,965,862,386,042,008,857,381,246,
243,788,124,879,358,285,117,057,436,377,247,762,663,823,612,255,952,860,860,
179,147,639,720,127,600,211,656,581,262,438,101,917,424,057,086,374,991,502,
805,049,916,859,814,989,710,961,074,518,722,805,698,552,190,138,367,881,049,
222,966,852,439,559,090,329,529,090,244,998,431,050,900,498,940,509,273,764,
230,985,089,101,032,113,983,229,121,495,446,357,971,634,430,338,238,298,529,
563,805,869,944,119,181,859,277,794,907,243,850,871,482,798,146,465,105,292,
801,995,431,592,255,458,309,587,797,679,474,888,790,937,495,155,691,667,023,
614,045,464,227,364,478,505,049,275,417,512,706,790,103,708,739,656,528,799,
338,348,044,030,885,563,695,216,166,825,983,711,652,498,089,562,287,417,837,
619,403,553,796,327,719,807,783,068,960,702,252,671,228,141,529,226,175,657,
304,674,984,813,358,413,483,486,966,278,073,048,351,722,772,891,900,436,380,
621,357,585,317,188,562,653,541,440,097,449,333,097,852,953,943,706,869,620,
906,346,046,400,870,069,987,680,080,510,228,348,901,164,701,161,475,965,000,
760,777,105,566,909,142,131,784,825,147,923,282,376,168,362,005,177,024,064,
865,681,905,679,161,341,125,789,683,091,326,682,137,969,071,079,831,714,253,
801,020,908,823,482,870,604,080,671,296,532,453,997,174,598,033,054,634,081,
770,117,141,823,509,642,623,309,842,965,202,406,433,209,506,728,097,584,134,
656,379,880,430,564,587,053,650,596,318,668,696,369,061,756,781,640,645,769,
720,782,991,393,221,532,239,090,811,915,114,469,675,095,464,898,887,691,306,
740,918,338,648,229,482,269,392,683,290,645,900,422,207,237,018,319,536,025,
366,399,537,490,314,211,236,727,630,305,924,289,928,019,550,681,143,490,787,
870,447,661,789,036,567,347,708,055,560,987,262,328,180,082,629,004,518,975,
515,275,695,048,275,794,507,873,504,944,274,217,969,594,217,710,379,044,987,
576,670,091,560,056,108,073,448,589,189,822,328,336,778,067,862,955,137,120,
321,662,264,553,487,253,596,191,777,314,194,673,438,748,259,073,738,381,952,
079,407,788,948,434,551,888,480,609,477,380,921,609,286,942,989,069,711,868,
559,258,858,500,800,996,725,857,895,822,807,760,916,737,437,263,074,832,694,
335,396,148,815,465,535,208,776,651,173,790,181,716,346,720,404,021,598,419,
938,045,237,671,600,096,693,192,258,544,625,985,130,806,108,690,374,258,415,
166,266,564,391,835,298,436,602,111,841,521,341,784,129,131,664,729,886,255,
683,603,366,402,139,671,848,130,717,383,407,578,949,600,087,005,792,929,195,
985,735,495,563,394,253,689,440,639,013,334,214,143,775,408,933,890,197,489,
345,444,539,270,656,542,947,199,104,527,858,541,129,481,161,233,415,751,854,
155,612,659,687,604,596,928,677,330,786,245,166,433,605,259,233,974,425,316,
934,194,822,509,549,605,127,008,957,564,259,329,906,182,530,002,769,858,746,
805,844,479,861,817,296,201,957,945,221,290,538,301,054,041,127,245,146,919,
819,290,429,092,638,731,581,675,169,855,911,124,680,368,435,965,136,380,701,
853,534,574,876,667,169,024,351,329,411,757,102,483,864,584,134,764,706,179,
835,356,357,381,996,503,984,411,882,881,520,920,817,230,639,246,924,241,544,
093,713,123,803,486,264,217,300,966,665,478,701,537,770,966,983,663,145,815,
344,217,593,661,039,827,341,384,091,274,677,281,035,814,214,810,751,118,712,
360,328,730,959,715,172,670,928,836,174,342,647,254,876,235,850,562,959,332,
388,984,004,453,380,411,922,933,250,118,251,701,376,714,522,719,476,800,123,
856,634,747,058,539,444,829,887,697,855,091,655,967,459,702,518,431,214,032,
401,987,391,951,368,916,268,604,846,017,136,317,322,343,330,808,728,281,320,
845,927,941,035,648,387,304,120,066,597,262,712,921,771,602,728,517,867,428,
849,536,855,809,940,132,203,653,514,271,267,297,753,675,447,358,476,333,475,
631,948,308,003,909,576,297,463,418,723,221,272,682,880,409,805,153,960,463,
934,107,000,075,309,871,701,683,049,404,572,541,478,447,816,789,413,247,480,
081,859,009,953,843,903,575,624,012,672,021,402,335,918,574,688,857,482,808,
755,977,077,806,990,464,419,174,464,329,458,628,846,550,182,317,136,482,560,
722,650,861,018,697,310,065,552,515,909,452,882,001,747,995,751,777,754,542,
128,319,215,095,576,988,563,818,591,876,932,239,008,860,294,736,054,918,562,
395,209,274,524,772,777,092,675,891,157,952,662,937,486,113,627,329,915,579,
173,931,314,325,160,289,698,107,944,270,863,144,593,159,864,692,036,294,630,
197,418,901,336,909,744,400,917,000,595,789,465,331,489,369,672,449,102,692,
042,423,167,529,785,098,188,951,807,267,219,079,710,227,991,930,431,975,865,
138,851,260,708,007,358,365,884,157,594,215,122,145,961,048,465,184,254,736,
982,689,690,398,533,960,631,113,122,980,680,502,208,450,811,227,245,987,959,
355,963,860,665,265,957,636,079,148,438,524,321,103,882,617,166,650,394,061,
667,147,446,929,199,883,269,500,697,539,860,274,382,500,534,614,984,520,706,
899,000,046,672,143,036,594,298,380,991,019,057,429,080,459,291,727,564,067,
355,515,905,290,348,520,872,172,859,705,134,179,332,308,084,285,822,715,883,
192,604,763,714,759,362,637,365,860,784,303,963,408,214,521,588,862,051,540,
995,553,344,363,077,053,780,778,324,794,211,117,015,026,736,298,303,516,366,
405,238,329,725,807,142,525,667,484,663,600,256,991,032,663,171,677,563,797,
117,491,188,288,407,316,879,709,287,518,161,475,193,592,788,658,228,431,542,
553,626,700,494,951,810,542,718,339,112,392,626,801,907,709,155,796,856,573,
736,955,684,938,686,200,100,543,636,530,941,437,594,388,084,548,655,773,385,
990,723,829,075,118,938,992,590,269,459,330,075,506,180,338,188,575,562,860,
682,443,180,442,182,822,112,331,772,180,761,888,148,385,072,738,447,061,923,
172,710,387,754,793,622,396,350,914,871,700,030,663,280,796,032,700,086,682,
050,640,414,440,784,764,929,892,385,712,764,388,176,591,543,191,692,856,924,
612,833,145,194,055,591,635,035,943,275,039,746,433,941,574,132,344,627,639,
576,550,565,759,343,449,786,870,092,572,853,522,780,265,610,749,985,734,307,
419,207,905,715,737,115,077,508,096,381,332,089,760,192,660,084,538,078,132,
655,448,714,014,346,425,041,320,090,885,342,380,272,350,723,330,292,553,564,
059,757,050,307,901,607,402,946,650,675,774,901,838,220,747,361,529,397,339,
906,215,176,135,600,789,758,852,660,202,975,524,682,279,067,686,114,811,891,
333,662,028,211,201,830,004,090,219,510,772,091,893,032,988,428,894,693,483,
962,481,745,915,205,476,504,067,418,018,423,778,480,390,526,025,818,491,750,
520,119,987,126,287,480,912,197,738,320,525,935,398,363,705,866,193,302,000,
820,291,412,971,453,257,153,764,335,041,901,641,456,088,701,891,962,303,735,
901,456,208,421,105,300,200,794,515,829,834,334,307,386,564,404,725,518,197,
784,040,357,674,426,015,875,060,361,754,885,777,994,754,856,490,440,174,504,
723,494,397,398,663,337,213,224,032,127,046,909,752,406,101,977,633,960,146,
641,508,503,874,940,024,653,423,282,080,760,604,775,267,923,367,932,120,827,
623,549,181,494,816,772,945,395,534,521,291,725,045,835,638,012,187,892,714,
541,233,237,318,062,285,760,131,794,572,554,581,835,288,568,572,444,103,916,
528,134,968,694,166,959,669,573,771,761,133,205,946,509,215,136,482,115,248,
107,745,898,844,509,850,791,033,296,978,291,171,122,063,999,883,051,992,224,
499,582,978,115,273,910,831,276,096,632,735,758,051,139,918,182,389,572,647,
357,007,673,910,713,187,797,369,569,830,641,954,802,896,426,990,447,952,248,
129,384,711,154,036,085,747,983,084,156,941,648,083,676,042,283,385,689,045,
186,045,367,491,099,518,889,953,007,479,964,693,574,827,058,895,929,204,137,
711,167,622,313,011,221,649,136,870,539,139,375,503,936,623,487,610,644,089,
979,179,944,440,384,365,019,557,655,085,369,644,433,278,765,374,872,977,029,
629,764,718,103,464,514,960,970,364,862,045,387,652,825,597,747,564,993,828,
641,735,714,350,775,950,316,405,469,340,702,623,226,221,334,788,716,483,629,
533,126,068,476,764,981,057,036,843,893,673,256,092,909,813,207,613,947,425,
606,234,701,846,737,690,413,539,914,675,643,674,669,840,131,966,007,384,214,
959,882,136,933,694,135,977,340,726,588,668,385,823,544,868,961,488,575,544,
285,018,732,888,098,753,592,920,182,638,172,633,292,856,933,831,828,618,439,
619,082,919,088,375,114,350,866,258,067,998,440,663,111,277,501,195,039,154,
750,761,717,297,338,835,896,632,811,457,759,206,810,231,113,911,156,574,496,
351,497,430,898,995,597,943,170,139,391,779,346,521,231,817,827,849,576,763,
465,998,263,981,069,128,707,299,292,887,730,151,052,063,048,251,332,021,849,
569,030,871,035,592,237,838,771,000,245,392,185,332,716,019,092,324,395,724,
537,713,240,660,104,483,796,246,912,543,851,416,159,230,344,926,994,756,817,
333,752,354,312,996,278,288,072,714,856,456,549,536,036,528,758,349,056,366,
304,362,297,206,280,357,652,904,662,480,564,473,022,356,431,375,404,932,918,
367,506,553,327,898,001,760,357,819,532,812,755,023,096,054,640,084,238,685,
654,883,219,735,176,361,545,259,397,496,192,832,271,857,567,789,507,537,029,
564,243,021,775,879,128,790,817,342,475,216,015,079,635,589,293,055,042,305,
601,910,739,057,225,866,710,553,213,811,323,631,561,880,328,767,432,983,526,
179,415,956,829,508,739,817,086,445,844,815,452,019,600,448,047,858,195,659,
938,042,757,878,424,964,896,133,858,516,362,699,408,445,944,400,434,506,517,
673,372,017,875,740,732,313,302,893,907,692,576,032,870,449,218,862,982,537,
647,871,607,695,700,773,831,014,695,988,298,518,269,851,437,333,028,773,559,
166,588,402,097,646,735,343,636,160,185,735,316,616,903,170,882,190,949,212,
555,319,116,354,382,423,206,264,097,334,571,136,027,496,222,759,053,922,103,
283,409,654,459,562,760,236,634,968,874,764,511,389,582,667,109,987,948,865,
786,751,894,865,820,420,551,995,803,540,347,544,274,298,875,369,419,182,201,
183,890,183,757,243,299,528,693,966,267,070,084,218,004,468,391,365,838,173,
929,786,389,955,530,214,902,060,969,366,983,273,689,911,053,700,197,616,521,
929,127,214,742,943,851,256,416,035,723,662,277,437,529,311,727,489,114,314,
612,791,366,714,437,154,140,279,192,775,902,763,649,692,580,959,233,736,223,
166,972,537,132,083,854,865,167,857,161,752,573,292,096,552,937,284,808,524,
198,861,562,171,835,565,941,427,668,544,976,156,211,954,478,984,076,863,244,
213,548,070,665,275,854,226,273,202,954,767,997,547,938,382,449,545,743,714,
399,781,243,018,947,967,640,818,256,714,981,315,690,167,257,682,294,530,498,
149,038,519,218,144,317,288,386,600,917,818,171,193,300,537,703,344,262,086,
705,147,448,141,622,803,903,554,791,273,899,374,508,872,374,226,001,030,007,
718,081,381,976,235,427,254,259,970,417,154,025,740,064,567,713,787,070,879,
411,933,434,383,247,698,975,747,493,155,325,999,475,015,563,415,088,983,598,
372,364,667,985,054,552,270,875,650,875,616,640,763,969,574,785,452,731,199,
487,571,321,358,880,501,897,591,708,189,347,069,154,190,332,488,694,961,613,
353,258,275,221,856,187,300,718,055,413,294,437,840,196,991,479,928,922,865,
280,906,895,932,820,530,460,500,437,651,410,558,629,842,538,328,358,903,100,
945,969,454,029,877,159,576,136,116,285,585,487,786,738,667,448,594,222,797,
992,525,138,580,019,622,292,718,156,256,668,731,250,860,787,364,320,129,509,
057,809,536,999,409,230,734,865,961,212,452,641,991,481,858,890,399,524,138,
568,343,438,719,932,045,729,498,157,654,768,071,818,007,225,208,437,416,786,
024,828,597,931,512,431,898,521,410,584,395,283,523,967,366,100,037,841,696,
433,140,351,391,366,965,119,998,069,163,342,327,983,770,352,789,433,965,346,
048,257,745,014,260,581,200,567,684,952,307,654,670,094,138,852,129,436,780,
389,008,477,232,912,426,557,740,028,369,646,661,347,972,985,837,024,473,737,
928,031,276,963,445,383,694,896,453,796,559,518,909,717,437,828,450,216,733,
422,629,245,302,177,027,981,046,326,654,885,138,030,758,786,229,505,996,752,
743,784,027,752,385,015,325,512,703,938,235,771,172,047,388,678,811,691,900,
093,962,614,665,351,182,939,602,528,725,257,890,151,024,484,811,983,295,412,
086,531,979,456,154,984,568,631,534,507,905,437,717,519,647,840,733,500,390,
822,002,343,692,105,449,936,245,452,790,333,606,190,957,496,136,151,015,661,
329,320,671,602,270,163,445,997,133,647,943,305,803,664,606,024,423,166,865,
761,078,367,421,357,214,333,262,581,541,210,564,372,311,916,261,111,573,910,
124,161,081,821,145,839,326,256,973,363,400,999,583,352,381,391,164,185,193,
090,026,889,231,925,158,494,239,681,362,454,150,362,066,255,317,583,841,945,
415,150,509,664,692,437,938,989,045,980,488,767,325,836,607,885,542,568,088,
031,347,455,198,026,707,238,193,547,957,030,095,901,095,448,231,352,094,301,
277,366,191,298,564,311,373,641,335,274,425,877,299,986,629,685,018,245,273,
594,538,440,120,230,455,836,924,395,446,532,848,802,627,837,997,200,259,932,
395,385,881,273,532,547,875,657,933,332,514,147,584,253,835,283,963,327,245,
676,346,813,492,790,013,384,925,991,701,681,708,069,904,901,444,412,021,691,
144,011,958,957,842,204,266,312,721,017,657,339,965,503,342,285,325,562,488,
029,737,582,521,002,841,939,258,977,659,166,128,799,185,043,406,851,601,926,
552,579,549,750,604,883,605,716,522,892,873,709,278,252,251,018,085,565,834,
654,867,912,167,262,566,597,529,419,375,136,678,113,351,425,340,670,658,436,
868,467,219,792,126,051,231,876,668,787,274,301,702,563,812,148,967,933,071,
142,225,801,732,968,538,701,965,539,901,177,130,290,582,690,025,078,335,299,
816,177,675,894,040,450,914,085,381,694,971,418,263,589,850,955,808,315,704,
866,896,981,599,132,659,655,740,992,351,701,718,765,307,639,783,271,727,267,
890,408,521,794,653,816,276,721,343,686,843,777,490,992,516,054,820,071,264,
220,289,752,402,789,721,196,293,385,432,641,782,906,456,660,281,181,141,161,
599,348,672,377,990,924,258,998,675,711,922,831,240,867,594,540,367,507,912,
200,258,648,670,108,348,448,600,730,281,049,118,604,988,432,452,068,090,767,
948,216,885,727,488,981,934,837,801,855,991,409,656,971,039,153,254,515,291,
766,519,827,540,975,403,371,362,797,432,759,522,113,080,385,057,255,961,526,
128,560,709,185,594,288,593,184,084,489,530,452,870,441,312,692,009,771,809,
131,856,302,026,422,581,920,380,384,148,799,682,380,278,922,987,831,595,434,
899,979,561,305,229,366,561,611,959,521,017,083,741,969,686,567,715,812,092,
592,707,216,451,339,933,288,601,778,311,684,333,720,990,252,788,644,883,717,
872,002,720,575,215,689,641,337,135,108,570,102,946,589,605,061,234,526,579,
981,733,456,881,938,857,546,843,563,225,483,362,823,866,255,779,065,485,344,
566,561,446,785,631,734,641,256,032,895,079,817,302,045,277,461,334,107,983,
021,422,329,280,437,524,215,812,070,113,143,721,682,890,818,856,015,609,358,
305,526,953,281,736,922,532,418,108,366,693,083,885,864,343,063,218,279,097,
442,865,628,910,903,395,400,335,433,820,470,741,920,348,083,555,049,193,989,
746,716,092,018,054,881,176,817,464,329,259,751,857,935,063,585,012,761,087,
132,659,503,905,975,488,127,040,977,684,528,495,411,763,263,101,081,760,470,
472,880,927,555,541,717,811,356,128,405,329,089,746,394,116,538,073,142,711,
671,909,356,780,146,929,697,233,272,961,568,169,099,960,409,810,894,553,586,
449,086,375,670,063,887,239,387,324,870,767,324,430,028,329,759,795,390,905,
378,711,714,939,096,691,159,995,386,834,242,476,530,751,782,414,034,412,900,
046,975,341,967,857,173,031,605,980,255,203,808,986,928,498,437,156,354,368,
047,821,525,159,018,445,183,045,778,219,656,087,264,617,768,392,107,529,089,
618,791,109,055,012,884,011,316,676,365,913,571,900,774,384,991,380,093,766,
169,743,130,521,705,077,526,285,943,047,150,563,865,643,092,689,027,665,801,
887,711,023,350,224,181,079,176,529,265,629,908,530,837,824,113,098,916,387,
174,093,266,812,771,175,463,928,458,898,347,364,408,505,836,218,277,784,072,
609,318,186,838,875,091,915,234,623,447,055,985,960,199,628,028,271,138,667,
483,504,315,837,473,683,678,407,275,999,690,225,486,696,416,538,125,675,561,
171,228,862,004,139,205,126,849,312,652,790,111,241,440,773,769,590,296,803,
747,064,732,268,270,975,987,908,269,861,485,656,901,639,023,580,684,026,204,
440,960,565,491,787,311,140,716,860,714,839,299,003,161,958,916,399,266,256,
991,900,388,700,488,776,119,364,748,443,490,854,524,003,332,315,356,123,269,
648,951,390,725,820,347,139,484,496,653,785,205,810,087,222,437,542,329,359,
283,371,321,399,566,878,303,681,943,992,972,510,119,370,188,796,347,319,950,
716,492,472,395,908,242,697,229,636,093,987,932,121,241,773,618,680,043,848,
983,637,000,706,520,088,083,853,864,857,822,264,314,525,247,154,274,401,549,
169,925,395,864,127,365,662,930,024,531,391,289,552,355,670,713,040,077,968,
279,545,755,597,370,221,903,751,462,275,099,606,017,848,556,802,973,743,556,
233,496,382,522,624,706,743,346,298,026,994,474,810,705,209,752,581,080,254,
734,093,540,902,267,785,653,651,294,586,641,248,463,651,364,932,720,991,140,
611,377,379,008,518,989,056,203,145,274,360,301,556,071,361,236,137,219,106,
594,933,740,000,919,695,536,261,355,337,026,202,670,835,590,620,219,051,113,
773,549,505,136,833,964,441,399,855,242,977,079,343,332,963,798,850,634,496,
197,935,828,172,020,186,157,650,025,915,697,231,946,872,247,044,267,183,288,
755,018,419,135,446,169,588,057,959,598,696,859,116,671,223,802,091,664,297,
299,756,204,231,603,808,110,018,436,955,038,823,227,478,700,050,095,918,666,
619,608,491,957,512,039,390,296,339,978,518,905,088,969,805,011,546,933,829,
976,994,021,690,730,776,337,940,752,488,709,012,607,518,212,013,024,228,928,
648,360,379,238,503,739,592,444,505,710,119,711,695,050,822,885,682,296,090,
913,243,343,942,831,207,036,782,118,498,558,982,986,329,374,756,353,986,646,
695,165,543,741,819,013,953,204,831,906,274,642,381,815,521,224,886,961,114,
196,525,191,699,219,116,182,991,487,130,094,593,268,542,658,835,625,426,278,
800,275,943,985,899,442,737,654,534,754,526,584,285,928,258,912,210,491,175,
161,715,392,416,994,618,141,797,819,874,410,913,773,631,920,727,481,746,430,
675,159,214,200,412,843,407,818,447,415,440,890,027,593,318,442,948,060,682,
670,638,639,911,778,342,346,199,160,734,103,879,182,830,314,863,481,848,119,
285,334,040,555,139,734,891,031,937,931,367,330,773,771,134,834,012,486,455,
333,397,596,115,369,934,966,464,147,907,500,405,028,491,178,245,049,419,193,
675,998,175,658,718,066,318,142,588,966,009,492,653,641,504,452,762,965,392,
782,564,702,778,228,141,284,030,556,524,022,723,123,892,602,351,073,021,205,
366,993,079,925,473,198,534,052,515,064,137,676,262,286,944,853,219,172,713,
420,036,692,652,321,679,922,316,983,689,920,077,550,761,344,109,400,009,606,
322,783,221,393,261,478,852,675,816,871,296,622,880,930,997,860,856,413,396,
783,222,722,904,522,740,211,736,661,147,380,239,595,475,492,828,189,668,526,
234,637,974,322,687,462,733,562,858,050,461,932,136,947,813,391,334,861,050,
258,832,544,658,196,037,298,647,716,683,876,598,894,409,610,806,169,981,996,
044,416,279,782,924,654,666,012,756,791,818,906,547,822,776,883,403,466,835,
340,292,583,621,737,436,965,509,095,143,471,526,598,059,454,204,018,582,151,
321,140,523,248,581,448,721,732,122,942,912,045,584,777,172,173,953,687,065,
668,287,336,629,259,906,853,210,982,263,544,762,559,307,561,284,808,300,830,
036,786,160,571,518,853,373,639,901,345,392,387,721,710,453,143,705,336,426,
099,040,409,913,376,378,908,933,699,659,783,874,959,554,443,204,778,278,316,
860,889,048,187,158,895,454,061,650,090,320,201,482,618,301,763,603,520,492,
259,679,938,142,544,191,446,625,944,876,421,590,624,564,501,645,195,008,287,
910,408,964,932,125,482,413,599,472,919,240,563,288,437,221,421,994,489,697,
719,186,931,306,174,325,703,415,378,339,150,193,254,546,769,552,111,607,106,
994,142,275,282,361,650,779,032,004,222,977,631,148,160,466,129,647,980,171,
219,311,569,223,301,768,230,944,507,256,034,253,898,969,835,279,504,439,458,
096,560,023,260,323,954,567,158,014,269,893,329,666,521,151,855,426,203,452,
339,531,299,713,489,157,227,242,692,262,422,318,508,401,747,121,479,412,880,
549,216,940,780,346,865,442,807,716,756,922,479,169,901,928,365,607,207,171,
016,296,892,541,611,545,785,411,853,641,508,958,033,699,496,784,288,867,299,
768,528,988,886,779,203,439,550,433,471,511,572,471,224,002,596,874,605,393,
418,198,871,614,298,153,121,206,506,801,704,927,175,587,782,712,698,154,937,
946,722,559,480,950,665,674,106,684,971,037,317,019,082,852,765,250,024,055,
406,263,717,789,856,622,014,798,027,065,381,029,084,702,139,045,959,320,777,
696,589,822,438,340,210,310,754,703,888,567,075,288,288,624,307,002,872,450,
701,415,607,319,963,228,724,803,301,225,621,593,132,478,916,501,170,285,157,
731,966,305,906,065,564,509,118,128,835,952,468,140,759,181,693,632,294,187,
890,890,518,948,401,559,953,060,515,329,726,365,080,781,188,655,362,503,416,
299,095,238,857,835,042,825,111,046,423,698,131,073,569,129,760,735,657,181,
638,556,256,197,351,654,605,924,889,709,412,157,353,823,765,934,554,470,735,
395,886,918,560,165,216,970,517,461,308,698,249,384,390,467,911,721,093,783,
080,785,437,875,462,442,138,447,905,932,370,165,505,230,513,325,810,173,560,
507,762,156,334,172,144,899,225,984,218,093,603,915,137,748,350,690,961,043,
270,991,443,654,067,805,353,795,499,873,694,919,782,058,755,433,140,999,165,
838,908,943,678,179,007,031,137,995,273,405,517,196,798,080,049,113,045,406,
018,045,358,123,939,271,681,381,632,191,458,577,538,712,239,689,795,459,210,
591,467,783,075,153,653,440,183,550,977,858,277,914,818,846,555,984,566,421,
475,173,691,895,063,098,520,814,131,193,816,370,043,710,650,412,781,460,218,
111,517,591,884,995,020,549,490,271,668,017,411,812,981,128,658,186,715,866,
326,620,650,407,951,660,939,494,381,401,591,333,364,238,748,996,051,996,511,
828,597,349,452,001,248,521,474,371,710,358,339,580,694,046,881,333,482,634,
390,719,853,126,408,991,715,126,262,312,424,908,956,792,513,894,170,683,774,
652,431,196,457,449,903,913,856,680,349,003,862,138,618,550,530,890,650,817,
567,017,961,052,000,356,279,175,658,980,035,614,845,559,397,916,570,262,991,
770,862,564,102,891,847,535,852,023,038,392,223,938,250,514,824,278,116,946,
762,027,787,364,698,783,439,238,741,457,913,088,990,754,760,842,442,520,598,
623,324,860,153,313,034,592,811,669,714,212,329,046,703,979,062,747,637,280,
301,039,031,756,291,562,929,591,418,815,632,482,227,482,634,771,691,930,504,
734,271,799,669,243,593,913,628,107,854,602,554,551,068,762,166,100,620,598,
636,138,443,567,092,833,319,895,225,424,513,148,159,976,600,812,524,894,288,
801,189,058,341,152,586,359,525,631,614,344,442,699,772,161,900,448,911,975,
883,764,777,752,595,435,122,462,651,941,261,050,780,907,227,221,744,560,601,
095,939,409,693,572,256,252,437,486,042,983,274,478,175,648,822,550,270,584,
591,217,998,995,301,285,879,671,398,231,169,649,811,406,543,800,837,184,885,
249,803,824,313,918,065,073,363,406,984,633,569,991,756,202,376,703,703,935,
118,237,570,657,876,770,790,628,221,977,517,249,217,899,191,848,749,259,456,
615,395,056,370,498,853,258,519,266,079,743,121,912,211,951,427,839,153,392,
530,711,975,351,809,962,096,170,798,801,428,510,278,194,097,125,295,711,253,
825,227,004,818,529,504,961,412,750,842,613,967,184,986,544,564,184,990,176,
310,827,581,911,392,239,422,193,906,225,311,570,482,448,654,631,804,288,318,
309,415,023,869,839,585,398,675,036,747,915,729,042,158,048,573,669,903,654,
062,059,337,512,869,378,405,284,332,469,334,201,169,014,761,596,941,529,004,
920,935,067,894,160,665,291,227,554,089,111,503,063,354,178,396,954,413,793,
822,443,622,716,802,517,565,738,302,717,781,502,469,076,877,977,235,575,360,
719,174,096,112,743,461,320,354,939,091,808,891,929,090,775,698,032,640,824,
804,579,346,070,762,038,920,877,205,352,718,024,238,886,407,137,567,949,497,
197,539,050,566,993,200,581,752,004,036,724,503,912,613,006,127,293,622,642,
756,825,747,693,300,446,097,537,702,073,968,393,062,786,596,163,425,522,020,
356,479,698,321,767,083,078,725,329,658,198,512,985,655,142,773,596,807,977,
683,958,152,830,548,792,073,462,142,367,543,865,714,934,825,020,792,155,708,
644,332,993,066,384,842,348,702,182,207,094,284,112,850,559,044,777,823,136,
347,839,628,567,638,647,338,885,802,387,710,739,874,071,023,469,977,050,946,
903,716,343,796,265,560,221,233,883,665,666,719,502,227,030,556,968,059,744,
906,721,089,715,531,289,007,628,382,107,557,644,459,517,679,078,400,027,562,
841,461,114,870,030,859,398,430,271,198,728,439,200,723,368,625,420,540,392,
758,993,746,714,814,423,992,383,604,880,228,474,381,498,465,960,345,610,798,
690,801,094,576,899,941,528,912,966,972,799,919,805,079,029,117,371,407,482,
545,673,037,743,529,090,919,630,221,182,040,086,195,567,603,233,133,418,986,
169,726,761,091,811,158,181,055,146,006,192,055,669,117,245,181,342,167,310,
698,008,847,317,640,753,406,995,322,519,764,121,149,057,099,169,030,630,716,
163,655,663,109,616,725,710,161,073,751,213,371,172,382,414,477,550,675,328,
479,854,119,919,954,379,488,226,384,725,839,030,712,252,999,224,552,016,086,
446,494,531,389,173,720,261,452,078,186,243,216,030,497,318,073,815,898,890,
092,147,658,553,261,647,548,087,225,074,393,178,531,255,449,904,811,872,896,
132,855,913,118,379,662,811,589,441,608,874,989,678,578,689,569,080,458,071,
097,811,194,036,638,570,040,564,150,804,893,938,580,808,257,687,796,832,819,
958,449,903,140,870,455,306,155,134,895,535,844,740,449,013,151,740,167,881,
210,766,189,290,737,576,215,795,229,770,332,887,991,746,755,373,928,149,665,
289,469,922,094,116,120,599,608,931,525,976,614,730,871,585,798,164,509,602,
358,567,892,092,104,822,069,923,594,270,572,854,510,311,304,501,540,254,924,
970,928,315,155,788,656,350,962,214,609,903,005,213,168,170,295,338,067,388,
572,735,949,272,126,266,398,012,793,801,017,876,331,162,249,021,169,517,549,
569,520,913,889,943,021,002,991,662,247,029,556,474,017,829,713,075,648,470,
332,639,260,568,303,963,429,185,127,313,553,209,123,403,917,698,856,960,704,
814,312,122,758,259,276,230,291,611,272,786,159,538,876,389,231,435,475,212,
559,113,941,051,283,120,100,506,618,510,811,180,084,839,954,609,043,442,680,
543,803,513,947,170,520,064,448,054,543,075,575,516,729,537,425,960,443,164,
398,613,577,801,879,347,501,962,143,770,647,349,161,948,372,156,876,184,497,
878,024,639,210,311,529,294,902,964,006,537,888,822,172,920,753,833,204,251,
102,224,067,241,659,428,098,801,455,364,060,883,685,683,190,673,250,218,877,
562,731,743,849,325,852,910,048,319,507,531,275,479,631,257,530,517,933,887,
819,732,603,200,570,159,346,570,333,999,588,643,565,882,858,191,016,771,945,
366,209,870,349,903,716,147,559,019,636,725,666,299,427,680,145,360,989,881,
931,447,423,706,643,498,177,029,133,488,405,131,421,413,935,981,689,318,353,
158,419,509,342,876,263,308,546,352,864,821,630,093,876,909,206,969,697,659,
713,499,817,731,906,772,377,566,137,080,107,958,923,075,508,179,406,266,910,
914,527,754,178,049,204,935,433,000,359,268,063,567,434,696,021,840,992,159,
151,413,405,275,291,857,833,367,902,035,871,471,159,636,983,122,613,973,013,
699,437,914,466,125,001,366,999,350,794,495,891,786,265,883,354,104,472,935,
019,713,008,241,660,816,270,962,161,172,605,127,592,290,618,519,946,361,123,
919,950,089,159,035,738,046,046,851,123,182,420,305,009,129,687,087,629,819,
524,695,116,030,518,033,076,265,302,880,279,707,735,905,580,669,803,381,939,
114,535,408,822,429,471,498,099,547,155,729,949,037,914,184,273,461,707,296,
054,273,598,270,726,412,012,466,791,617,942,630,865,959,959,590,294,738,976,
342,780,282,406,144,927,785,832,843,797,787,717,885,887,565,664,387,585,941,
165,729,228,910,981,956,647,981,758,618,404,196,369,682,459,344,039,302,486,
197,897,814,712,084,029,187,992,546,213,940,258,440,741,545,621,303,741,896,
056,863,758,432,718,345,548,275,574,711,012,430,816,585,624,916,351,395,439,
241,848,229,931,362,094,078,436,231,317,416,264,135,333,181,492,172,359,088,
653,533,596,324,391,707,495,030,106,392,855,457,626,003,081,153,353,050,543,
906,628,372,358,319,667,487,268,428,180,252,803,231,781,150,707,270,187,887,
128,349,692,466,809,427,906,143,947,605,544,733,423,651,678,433,270,195,606,
757,877,947,148,582,720,502,166,641,189,727,533,020,011,839,683,387,311,237,
495,578,054,980,580,746,218,922,255,294,343,738,193,919,479,890,372,212,050,
431,596,177,841,665,750,980,198,565,464,622,131,699,629,726,179,401,905,778,
233,389,839,910,174,555,934,233,015,369,910,326,061,299,822,916,088,532,086,
695,986,068,230,263,642,014,290,396,703,678,054,889,868,515,817,057,815,835,
143,450,156,896,873,521,801,035,474,194,977,373,408,407,345,738,990,935,985,
001,846,722,478,996,997,170,457,551,533,046,377,809,502,332,799,090,726,130,
290,360,745,697,508,592,331,099,195,428,241,784,245,079,150,308,387,300,165,
510,002,711,532,786,249,563,518,070,384,328,091,075,753,682,824,392,863,047,
233,169,766,886,443,343,228,719,861,103,196,368,931,021,149,762,888,078,625,
635,359,700,851,027,467,349,109,939,517,651,229,896,689,877,786,005,362,578,
939,969,329,415,413,493,830,254,482,740,947,489,103,918,119,148,053,077,043,
279,188,537,463,087,354,076,692,383,235,396,858,586,451,103,760,652,068,681,
352,383,579,797,931,755,448,455,728,650,035,959,870,547,286,935,926,787,448,
726,108,185,783,387,492,333,675,200,465,978,914,746,491,597,634,429,537,839,
052,208,128,470,482,527,247,755,674,266,863,811,364,191,747,453,212,022,926,
678,465,035,777,066,617,775,060,829,771,774,300,634,281,941,368,595,496,913,
627,473,856,144,501,741,787,039,493,741,890,971,195,850,503,137,055,529,583,
366,129,933,207,925,161,868,376,972,912,737,068,533,071,871,283,966,784,028,
301,538,308,733,362,931,033,306,830,253,831,599,328,675,819,862,834,333,112,
334,923,801,865,496,277,428,527,694,924,295,557,123,290,810,300,900,536,791,
446,176,903,787,653,273,768,115,927,371,472,717,990,062,043,289,065,438,418,
933,183,914,022,224,798,715,455,785,390,670,886,724,576,435,304,196,679,786,
182,410,422,061,482,179,768,815,717,629,386,573,516,910,371,154,391,034,756,
330,179,625,345,553,337,169,749,005,814,862,019,943,464,032,267,914,778,490,
696,847,145,364,421,080,077,068,552,188,590,871,919,842,988,916,106,705,629,
904,387,127,781,361,026,597,706,087,837,998,365,597,008,269,629,225,045,747,
505,581,646,186,329,377,418,404,416,905,470,414,102,980,148,519,262,008,104,
537,899,957,013,808,478,181,265,591,016,683,270,596,069,504,087,276,186,987,
801,713,417,883,015,520,984,148,368,367,291,430,071,825,769,024,624,962,722,
614,534,814,995,047,732,939,719,932,072,288,935,190,996,823,211,729,357,993,
683,744,132,967,213,422,074,095,700,846,778,946,741,732,724,688,567,492,408,
178,828,895,818,730,685,786,401,967,052,135,258,665,736,332,731,243,850,000,
481,227,808,105,517,218,329,181,866,419,304,529,840,316,720,375,933,018,648,
908,769,495,137,494,089,168,069,331,709,252,078,898,584,632,583,045,641,419,
767,933,109,296,156,539,903,281,604,390,978,461,630,075,495,750,512,260,747,
810,371,488,771,829,995,858,420,432,232,575,474,635,935,834,929,786,716,084,
549,338,092,642,560,424,429,934,989,005,576,741,607,699,931,135,125,435,254,
411,963,841,620,103,599,861,656,953,306,022,520,405,377,212,656,084,751,865,
205,411,342,592,792,126,764,381,783,635,444,259,584,481,571,364,412,250,947,
905,078,991,714,202,841,582,862,184,133,657,075,358,034,630,215,454,339,086,
640,393,056,612,546,215,776,898,036,488,228,735,315,525,098,530,130,207,431,
040,431,290,823,408,646,676,931,388,599,252,228,075,584,157,850,713,647,909,
911,633,824,302,586,501,600,074,167,574,810,212,716,795,773,591,191,326,901,
839,723,325,070,027,696,177,612,576,209,716,565,602,732,042,147,466,868,377,
015,645,805,999,549,225,320,524,461,673,314,839,084,030,226,253,274,373,436,
615,041,718,496,049,517,172,908,287,473,687,976,257,775,880,379,842,584,904,
563,516,862,817,126,089,734,054,287,112,519,742,312,532,117,377,345,467,479,
329,357,759,765,643,364,876,068,548,454,299,682,423,051,871,704,110,744,002,
850,833,307,268,908,065,188,180,648,232,410,900,944,196,980,291,889,484,990,
879,956,414,468,940,728,404,633,443,630,907,111,525,637,599,621,390,257,017,
087,527,451,721,618,866,648,246,520,981,432,608,852,406,596,144,592,450,979,
939,553,506,093,425,193,344,250,298,097,444,156,148,371,852,053,371,319,950,
008,986,741,636,034,455,486,043,896,688,102,752,684,355,749,187,080,819,231,
673,934,822,022,481,079,772,677,456,814,092,100,869,418,279,386,777,423,368,
895,642,683,528,441,194,494,117,429,231,919,718,062,637,077,443,662,008,047,
580,775,739,497,446,116,073,493,382,276,807,520,608,532,044,452,636,280,525,
521,909,202,985,907,384,227,126,980,823,251,723,843,490,216,261,498,460,950,
268,458,193,105,432,120,671,149,438,776,097,124,844,336,137,906,979,511,285,
308,059,639,699,375,299,698,854,914,001,076,931,698,330,552,386,433,503,498,
406,000,347,354,005,043,306,619,086,370,715,446,449,720,599,244,763,615,996,
440,302,733,804,431,571,000,684,078,353,505,916,265,297,881,802,494,798,221,
182,956,717,897,267,772,597,269,705,578,079,584,878,987,567,369,931,763,740,
752,006,548,523,666,035,589,522,849,766,857,014,074,629,979,098,495,007,302,
954,081,670,970,377,579,301,288,992,568,302,327,095,983,012,089,402,696,309,
609,886,097,251,544,320,472,981,811,404,891,473,386,735,072,050,536,837,805,
028,654,297,970,672,860,832,836,630,604,763,449,606,456,983,348,654,687,258,
621,140,159,818,755,777,877,546,454,825,123,948,747,049,088,984,674,113,544,
105,123,999,425,200,707,541,508,066,640,714,786,901,572,382,231,040,862,733,
284,744,070,001,368,376,864,171,071,920,242,142,855,591,720,163,055,542,526,
998,959,375,865,735,592,458,231,088,206,261,078,288,932,347,156,230,988,393,
460,622,430,474,922,229,708,765,035,095,758,143,732,894,639,740,375,308,137,
673,286,433,800,549,009,578,167,125,384,786,932,500,213,186,299,753,411,917,
855,082,380,208,016,214,823,675,354,498,915,008,050,080,727,476,158,547,688,
390,720,548,034,511,883,873,859,531,786,039,459,035,672,591,067,488,362,905,
452,311,641,665,896,537,717,685,477,912,278,481,536,133,575,206,946,628,377,
394,139,020,903,383,661,368,660,742,331,302,525,487,126,480,922,103,395,209,
727,118,391,090,359,120,618,539,301,850,362,439,982,221,581,499,648,943,873,
494,864,147,501,119,716,864,363,101,858,084,019,873,510,388,780,763,610,928,
801,842,713,835,384,815,577,295,249,540,471,583,637,524,275,906,195,506,711,
625,487,984,777,696,247,497,560,429,727,113,636,976,196,935,963,662,837,912,
733,067,066,434,062,197,728,597,990,985,468,795,538,727,198,373,422,145,958,
111,869,422,027,142,903,764,342,090,265,766,858,195,939,269,854,957,623,772,
955,268,495,733,202,502,672,307,779,057,233,279,819,870,056,532,495,350,892,
020,823,281,643,843,278,428,815,470,414,620,676,112,561,707,388,380,281,528,
192,732,446,407,257,145,891,637,822,465,661,905,796,115,627,145,041,029,533,
227,845,124,421,758,411,695,513,493,268,629,670,350,995,393,909,348,787,032,
234,993,142,491,895,405,069,411,808,279,111,303,468,466,442,703,984,127,105,
452,234,646,410,523,525,429,212,750,911,694,636,009,371,926,985,984,309,939,
964,876,194,778,120,892,955,735,720,314,776,693,612,668,287,360,063,154,484,
136,924,563,828,535,795,838,232,542,241,752,474,781,649,300,167,221,684,646,
052,428,116,945,548,871,787,461,445,211,691,294,230,615,237,393,497,915,850,
446,231,066,806,636,260,589,743,250,294,034,506,295,908,501,561,819,414,657,
275,530,153,925,522,434,182,419,350,254,643,968,261,717,751,919,173,681,236,
326,528,830,438,707,923,479,791,061,038,276,520,099,887,706,860,524,523,243,
176,940,260,707,467,430,849,479,112,021,380,387,893,665,625,097,661,205,598,
262,445,912,811,448,922,173,462,550,362,931,145,820,087,829,068,893,245,880,
523,459,783,437,470,803,007,757,804,555,845,230,202,189,133,426,083,565,964,
542,164,069,070,745,884,315,279,370,005,578,233,538,635,888,313,043,735,566,
417,427,436,583,957,379,792,417,436,563,863,224,935,705,503,120,640,772,400,
672,417,063,192,151,299,894,474,521,634,739,263,353,114,893,225,041,276,029,
171,685,472,967,718,721,357,591,758,321,142,491,159,561,247,064,460,225,300,
525,525,058,846,778,507,939,373,223,302,513,385,852,008,392,871,496,035,603,
540,350,224,897,820,701,891,179,966,016,966,426,195,233,184,597,914,480,818,
776,244,637,503,495,250,020,862,785,948,690,027,685,724,822,402,580,321,723,
910,508,358,188,188,911,836,817,804,615,620,385,589,098,190,062,794,007,348,
593,625,164,063,271,409,542,186,926,433,944,282,819,822,663,119,061,130,623,
054,948,796,771,025,241,278,931,023,709,095,824,395,462,078,797,669,402,860,
941,505,860,628,194,852,696,240,263,787,076,972,899,091,833,915,346,973,513,
631,637,101,298,973,547,674,639,401,599,277,757,963,699,839,951,573,929,418,
879,327,867,393,200,248,966,139,394,319,858,467,122,728,747,818,748,595,781,
648,065,976,313,593,930,306,920,870,800,129,541,566,541,075,796,464,870,743,
299,424,236,280,487,141,051,435,966,770,523,394,930,696,296,166,655,633,309,
116,706,004,272,209,185,701,944,253,407,371,851,841,071,981,314,474,545,068,
738,913,057,342,536,629,193,054,973,345,933,279,689,690,597,122,103,635,034,
522,671,135,406,837,875,670,058,553,678,861,229,865,379,715,212,974,080,136,
210,928,340,136,972,721,943,316,658,983,666,353,772,686,960,770,632,915,015,
011,103,151,944,204,007,450,597,628,428,813,946,517,774,310,792,272,039,476,
625,222,413,066,807,856,506,753,559,721,856,694,823,998,388,032,239,683,673,
481,289,608,369,433,619,853,104,651,213,087,409,791,824,169,355,823,795,347,
616,913,294,312,129,442,643,948,321,634,037,054,562,399,107,641,453,336,999,
929,297,296,108,207,026,945,263,676,162,356,251,415,351,190,020,007,317,631,
231,344,481,605,124,902,745,372,598,342,909,582,989,720,577,408,839,597,984,
271,172,456,294,945,749,994,954,547,429,131,139,663,219,935,845,889,642,945,
914,388,364,818,684,365,081,044,924,180,638,457,791,438,602,965,058,428,882,
649,248,078,626,258,520,807,080,026,098,367,238,083,733,034,723,632,021,400,
014,566,630,393,731,906,361,893,661,319,351,872,620,259,799,902,864,727,618,
722,134,439,328,890,692,754,565,494,752,240,949,507,186,435,690,329,253,218,
738,170,764,867,368,160,366,421,388,342,964,077,490,820,390,416,537,950,176,
875,965,034,097,299,481,692,613,606,927,740,991,783,222,096,588,541,092,125,
574,066,475,193,623,301,389,336,137,969,797,422,796,277,114,940,031,749,684,
793,948,928,430,280,882,330,495,937,849,640,103,122,269,240,208,109,187,100,
218,276,614,736,435,650,064,665,031,017,988,101,191,279,025,987,677,456,267,
862,945,888,275,937,602,626,104,208,514,464,006,500,471,596,585,473,472,645,
822,598,529,885,460,705,152,785,447,310,108,216,897,767,693,675,657,136,529,
984,920,551,086,676,818,232,167,333,006,170,432,469,716,966,133,723,263,533,
886,602,749,642,408,090,946,974,978,146,903,362,132,354,847,262,573,546,246,
929,875,018,396,777,621,277,816,863,851,702,037,630,305,413,437,633,983,776,
140,962,293,263,886,781,316,213,204,676,052,191,992,226,379,525,013,532,620,
873,166,017,658,421,241,690,019,597,939,302,621,342,742,964,365,731,855,808,
387,489,368,978,541,835,782,228,502,864,499,457,317,323,011,214,006,076,754,
075,756,779,241,373,961,080,467,142,144,400,922,665,061,743,729,156,902,775,
736,982,869,807,724,234,951,053,426,256,933,249,947,730,513,365,052,380,963,
845,354,319,589,973,155,272,279,252,823,028,270,304,479,786,261,353,419,026,
886,436,047,412,027,846,434,569,155,505,305,904,359,255,908,383,146,346,579,
225,553,742,083,802,726,793,966,595,828,240,502,364,407,980,205,103,089,106,
809,377,139,515,902,679,570,767,889,166,184,370,399,206,133,209,206,406,911,
467,574,306,866,380,306,484,468,816,197,470,055,565,086,170,039,689,409,450,
969,449,203,510,525,406,262,067,952,214,605,121,381,285,587,921,767,404,377,
030,854,688,916,455,654,896,660,744,890,426,524,054,210,151,001,591,353,992,
763,764,695,156,910,095,215,759,623,179,234,390,489,612,406,780,957,314,253,
164,458,685,148,359,840,457,829,209,952,410,904,415,155,215,475,602,061,839,
785,918,758,229,761,938,268,873,531,460,753,678,458,877,497,911,629,908,387,
142,263,263,494,763,164,265,337,080,747,973,810,678,276,294,124,426,120,568,
247,125,969,430,098,722,676,962,421,061,171,335,225,498,450,926,820,207,789,
928,167,739,215,071,959,714,470,216,854,962,471,487,555,116,079,027,141,433,
317,460,928,863,945,985,421,860,773,739,834,204,326,457,313,582,947,717,549,
336,601,208,918,264,987,690,192,821,615,633,374,056,340,444,814,640,568,426,
506,808,643,762,043,264,178,790,033,496,881,537,279,768,350,746,329,512,391,
948,737,446,377,680,708,627,442,710,410,955,853,011,678,675,903,189,863,286,
858,509,265,198,951,734,454,915,935,454,658,429,538,113,347,838,579,397,939,
326,275,043,623,755,510,555,939,118,326,148,636,896,866,722,250,202,189,263,
564,907,139,959,363,666,849,045,763,260,737,418,368,200,464,472,039,209,373,
023,817,820,242,909,262,178,305,482,482,331,805,107,933,898,340,987,218,423,
093,003,496,716,458,557,763,353,159,461,950,754,322,576,867,868,631,817,145,
262,115,950,126,054,353,910,770,818,622,829,926,320,040,968,488,197,543,792,
030,482,869,094,919,818,932,928,790,448,208,941,269,464,038,529,020,120,835,
514,649,355,578,477,779,089,668,710,257,206,167,452,846,889,573,014,187,920,
677,282,643,896,141,714,824,680,186,172,492,813,802,966,514,805,151,550,674,
332,139,602,126,999,946,029,067,193,329,091,520,551,137,212,670,627,603,008,
344,628,722,204,973,543,980,596,138,617,993,981,015,775,689,588,956,937,262,
251,856,769,304,478,146,091,401,337,857,608,341,757,358,565,579,702,382,519,
215,236,773,150,114,203,664,233,082,777,939,691,122,150,190,897,713,956,720,
021,977,946,509,066,478,337,064,802,104,158,362,433,058,972,759,292,567,499,
577,339,849,754,346,311,322,627,060,215,760,933,945,645,219,427,974,403,334,
266,050,577,044,305,030,872,845,453,798,360,937,604,350,634,252,119,924,720,
020,047,802,066,889,035,356,271,180,954,019,227,679,864,456,036,514,093,302,
057,191,034,003,645,867,703,578,802,089,957,517,070,017,418,453,202,249,792,
377,912,220,639,099,042,494,120,418,009,073,186,062,952,062,945,052,927,006,
802,317,774,372,089,234,130,968,143,699,929,520,014,364,919,229,403,869,053,
176,148,491,613,911,379,438,173,019,955,425,599,546,467,925,965,574,957,644,
742,931,831,931,663,011,314,778,194,689,197,214,324,198,550,923,390,620,161,
991,837,816,958,999,425,027,579,851,915,169,295,370,445,882,586,174,385,783,
871,992,655,696,027,198,665,121,882,676,202,365,044,002,473,420,235,110,455,
729,374,886,104,612,177,034,688,170,332,698,600,947,460,090,577,559,459,268,
605,161,889,718,531,963,716,773,908,847,638,484,320,248,185,947,131,211,218,
049,764,385,411,751,102,272,280,021,915,046,935,098,386,932,336,833,686,708,
946,305,226,208,774,799,312,926,554,539,040,905,611,785,412,465,891,649,533,
138,095,364,781,160,745,933,742,857,530,824,490,278,108,158,358,396,319,360,
761,844,757,297,146,601,436,356,654,073,942,415,395,820,954,849,532,977,149,
569,030,769,137,598,396,455,917,747,795,206,715,182,633,835,395,564,675,991,
989,954,075,608,253,832,604,543,123,094,049,569,528,152,066,286,943,358,435,
147,671,456,153,243,517,330,403,958,047,887,695,701,857,783,248,091,613,187,
834,891,798,535,291,808,673,241,160,544,588,391,638,323,625,244,153,574,833,
229,454,158,940,838,588,186,855,714,769,638,952,596,692,322,880,357,898,610,
729,210,992,201,787,373,116,404,092,501,377,546,461,710,747,540,721,196,838,
506,239,786,124,443,437,886,289,220,576,298,608,768,089,775,706,356,821,741,
727,868,787,503,053,523,551,578,968,723,221,473,672,183,820,074,001,983,051,
043,794,899,902,540,632,980,144,469,234,782,322,298,665,428,867,127,566,527,
869,952,587,736,388,635,941,461,034,202,372,898,035,461,137,551,484,357,226,
016,973,106,019,357,948,278,504,107,696,108,784,269,537,349,477,683,551,225,
984,022,819,575,089,849,343,717,953,215,357,947,058,479,209,552,165,701,316,
366,609,845,089,254,936,340,051,300,546,117,384,453,357,969,039,432,980,612,
411,768,731,513,786,228,132,703,184,016,746,438,069,262,140,001,825,397,113,
437,791,853,128,846,794,197,210,402,494,885,286,096,443,973,670,288,157,083,
137,827,272,841,188,971,920,867,931,449,047,596,320,071,109,753,511,013,573,
697,466,182,933,500,070,274,757,782,898,112,380,104,109,713,649,869,960,837,
699,742,526,582,783,579,039,232,978,561,067,678,409,721,182,129,663,276,271,
572,563,663,854,764,480,077,420,314,333,457,277,524,816,173,858,224,352,513,
204,821,263,860,610,266,492,460,849,120,273,736,068,250,757,333,248,109,094,
808,328,767,541,766,105,286,087,075,548,114,363,321,572,169,574,084,145,449,
330,901,555,416,469,924,652,694,986,188,080,947,190,636,602,103,742,587,966,
487,742,947,907,212,271,204,253,457,874,548,301,110,773,970,926,113,703,080,
503,441,099,858,617,272,247,263,541,613,143,823,821,242,422,098,866,411,420,
119,593,545,042,771,215,045,575,788,325,954,925,302,667,044,132,277,340,297,
290,865,371,536,214,257,224,267,285,294,029,254,231,076,835,245,950,666,833,
047,811,642,960,762,098,859,344,425,185,910,860,473,063,360,025,427,314,070,
460,882,796,526,570,983,125,800,287,560,089,588,052,491,395,977,377,913,165,
958,770,138,719,629,198,990,862,382,813,012,473,687,412,218,311,284,484,026,
781,310,567,890,545,067,971,889,542,075,046,348,245,974,253,538,553,396,942,
119,556,604,111,094,682,105,870,426,163,106,175,070,163,277,834,123,054,141,
141,221,322,242,076,824,854,099,883,122,760,854,812,087,728,647,253,390,997,
644,373,654,330,111,303,079,762,473,222,460,066,701,540,116,804,775,361,667,
468,793,177,882,613,346,220,883,810,165,630,532,852,293,592,386,367,583,987,
925,867,995,966,349,792,721,710,682,955,156,758,218,718,452,031,101,224,557,
773,227,674,961,725,641,515,468,838,631,575,670,101,928,154,159,444,218,354,
847,926,276,460,810,171,346,372,240,267,863,266,464,620,725,172,197,159,895,
159,784,726,401,812,177,238,178,135,624,199,788,521,052,307,116,327,635,088,
812,772,095,232,268,528,878,816,355,899,953,315,762,195,248,153,291,400,978,
236,522,763,584,454,432,131,270,331,355,456,939,532,606,968,926,035,217,437,
297,928,530,857,210,705,708,643,240,600,208,993,900,959,005,110,151,966,761,
314,279,243,437,070,581,143,583,320,652,435,493,689,415,052,232,208,967,749,
329,232,586,422,802,538,357,365,819,476,871,179,932,315,200,997,172,996,935,
029,911,281,441,428,073,206,820,585,036,861,374,310,628,187,585,352,764,681,
606,713,995,330,190,280,275,724,152,025,854,103,660,260,288,497,205,627,636,
857,011,488,607,096,162,412,139,938,279,168,869,019,218,737,763,034,199,696,
759,151,754,572,599,949,445,331,573,649,725,256,173,394,441,508,537,899,272,
258,366,937,752,097,115,998,192,975,480,866,803,635,311,089,234,946,107,350,
055,337,540,872,981,349,141,782,707,252,496,298,169,743,546,132,722,165,958,
162,757,423,972,467,512,321,729,618,495,642,443,844,484,618,624,582,796,206,
272,816,660,474,460,323,911,751,363,197,769,214,535,461,569,267,899,064,020,
725,809,023,461,295,890,274,224,302,358,395,286,594,603,427,881,221,749,232,
429,573,661,004,379,245,095,476,950,054,981,226,925,184,352,633,573,957,222,
204,548,194,990,928,939,748,616,016,033,168,911,313,652,354,992,272,778,555,
902,850,123,208,502,532,947,757,139,851,706,539,007,808,390,410,837,082,687,
308,291,057,866,775,786,322,307,823,052,542,083,303,107,916,349,884,085,137,
652,854,160,484,755,772,258,402,118,804,128,145,022,704,020,082,096,028,274,
213,855,520,030,717,213,364,788,247,116,747,852,829,718,721,245,589,695,155,
704,400,798,866,068,269,688,930,476,930,154,841,588,541,097,119,645,802,835,
573,235,993,568,673,197,725,353,345,929,163,458,436,952,715,116,501,374,169,
224,172,222,877,806,039,903,840,889,304,495,680,515,719,196,631,823,467,577,
595,833,331,075,967,607,826,224,049,731,710,488,598,513,063,357,384,426,413,
429,386,471,476,184,902,488,968,429,809,167,805,995,276,187,453,720,145,599,
397,729,235,118,433,875,429,546,360,725,380,215,591,836,689,311,703,948,214,
338,996,523,943,259,147,466,333,609,279,600,475,217,477,182,947,636,387,903,
329,405,522,707,286,487,675,533,903,396,911,620,277,800,568,511,592,296,572,
408,473,531,892,586,862,862,919,514,469,713,103,657,047,783,252,884,656,434,
011,018,878,701,114,665,606,980,940,578,344,560,445,624,642,155,200,829,185,
630,845,429,534,002,285,148,867,404,954,125,467,756,895,759,589,376,051,523,
070,109,401,769,779,236,007,670,216,001,737,379,870,613,011,806,901,422,427,
184,389,678,817,071,618,912,866,510,611,635,019,338,612,164,745,009,330,118,
290,008,065,748,995,012,383,586,403,288,416,954,478,434,348,798,243,600,130,
087,943,535,936,314,714,937,618,729,756,636,122,681,038,458,524,030,247,107,
176,319,742,309,080,971,715,372,969,092,959,547,308,607,600,451,300,796,585,
400,307,681,932,539,573,276,926,507,220,020,466,686,186,531,915,273,609,138,
327,822,766,678,534,777,691,527,720,818,331,410,690,671,969,971,278,544,383,
267,522,942,874,355,759,580,712,043,508,190,234,774,198,764,471,989,063,042,
607,044,054,452,725,147,051,532,460,538,747,463,273,100,408,033,912,797,616,
378,558,282,633,920,997,900,120,491,582,394,731,624,136,660,472,819,574,135,
593,344,495,276,258,711,776,321,387,160,748,460,720,136,414,944,410,521,829,
703,152,760,271,275,604,622,518,316,747,586,938,683,564,983,460,697,106,246,
685,903,370,693,655,148,121,608,210,325,862,596,140,590,895,861,679,840,035,
545,391,797,237,875,826,199,257,659,969,773,494,104,618,226,714,096,404,462,
341,574,545,950,867,910,354,283,441,405,507,121,926,106,076,575,525,262,867,
829,292,874,203,338,292,794,856,785,990,097,253,583,816,539,790,429,454,224,
072,060,987,860,564,745,549,593,286,713,534,478,203,085,495,016,400,520,922,
581,688,084,382,203,116,838,809,680,329,373,962,284,249,795,508,381,477,061,
490,757,895,826,616,797,108,863,535,512,696,230,037,705,268,171,293,382,226,
108,176,398,857,302,792,739,927,166,291,388,567,238,503,844,264,407,375,801,
426,220,010,128,082,369,233,061,646,372,426,529,318,566,097,655,055,760,547,
987,513,055,572,510,118,669,368,194,732,421,322,907,972,472,688,291,388,365,
835,390,638,541,086,788,366,367,731,493,161,854,201,405,837,341,028,629,897,
708,524,036,943,017,024,841,537,616,200,518,538,373,288,302,774,270,343,804,
562,645,729,917,222,091,212,168,005,420,169,870,367,457,132,056,493,723,284,
389,759,228,438,902,111,375,974,084,119,211,104,904,481,232,196,937,562,251,
109,597,920,432,794,458,055,816,773,514,376,817,465,833,558,352,778,203,756,
583,006,702,011,742,589,648,253,723,610,889,748,806,563,466,103,431,006,677,
245,214,618,313,668,443,078,231,510,800,608,455,750,236,356,567,965,751,017,
740,838,174,421,805,368,217,462,912,953,274,566,562,297,847,170,515,784,139,
494,080,583,784,594,305,394,254,337,057,797,357,522,797,337,441,379,365,276,
862,977,820,705,411,575,060,931,433,443,685,443,684,338,469,376,174,045,880,
948,176,624,724,183,125,163,836,678,156,695,588,065,751,376,962,195,520,277,
924,856,404,791,026,454,078,575,425,231,782,159,846,545,628,590,409,136,266,
275,882,626,489,217,276,625,498,279,069,469,605,913,748,994,654,638,586,412,
116,328,567,767,418,408,735,384,260,848,814,399,721,472,750,915,632,712,032,
089,312,501,201,902,362,719,992,198,794,031,021,630,503,844,133,045,888,450,
335,152,237,180,697,448,998,057,251,945,635,009,353,571,296,392,931,139,800,
767,409,473,918,709,130,538,665,678,780,181,490,630,097,550,326,389,281,539,
683,861,656,105,215,685,058,189,937,827,907,948,930,831,371,306,142,252,216,
832,136,195,778,495,984,227,205,642,068,493,437,972,458,745,860,052,253,367,
629,216,232,520,042,395,034,655,432,449,527,148,159,923,261,350,773,325,592,
221,296,605,194,142,090,286,459,570,489,057,772,152,767,647,452,459,372,881,
581,874,929,310,912,345,411,890,675,643,238,772,258,502,666,340,257,573,732,
159,800,117,007,971,613,091,520,839,677,016,725,571,714,182,979,195,970,463,
015,447,280,230,846,559,721,144,653,857,957,820,221,892,374,860,833,026,628,
788,488,631,373,037,378,863,688,853,976,664,815,568,929,258,334,463,987,352,
343,837,679,675,462,269,307,282,910,816,241,256,932,589,723,730,547,234,869,
973,716,002,017,647,265,767,947,190,024,283,157,767,826,995,001,246,590,443,
489,258,858,771,173,409,016,633,834,137,862,553,573,600,494,370,236,276,773,
161,529,165,431,943,125,820,678,153,891,679,539,553,614,765,055,380,514,526,
271,366,474,310,683,493,335,793,360,813,690,944,054,707,533,582,324,603,771,
331,462,259,306,219,179,755,980,909,735,695,546,853,248,482,138,469,570,328,
270,783,005,707,989,549,799,530,002,267,565,722,756,522,811,035,951,196,482,
356,986,352,429,214,038,886,072,772,880,148,329,661,511,253,438,984,813,165,
967,137,390,638,092,311,248,454,971,183,782,226,032,067,397,611,650,659,845,
423,406,197,246,816,641,335,707,621,898,647,441,290,828,737,676,835,083,585,
345,644,603,504,235,986,256,176,156,401,833,772,541,258,924,852,334,212,675,
670,166,714,772,599,057,029,955,860,507,610,466,061,236,984,634,119,692,316,
428,497,219,089,787,888,701,810,012,339,186,061,381,919,463,777,851,415,096,
690,615,181,310,056,278,099,416,413,046,356,043,082,385,082,116,203,176,600,
033,234,368,693,461,389,401,583,489,981,573,351,430,184,630,782,740,008,598,
191,969,254,506,168,033,974,766,745,839,389,079,589,170,619,313,520,093,440,
007,606,909,990,492,611,628,443,622,039,233,274,398,785,987,171,337,008,359,
413,711,849,547,295,058,364,612,573,701,500,221,463,654,222,545,986,584,701,
122,253,486,042,613,162,182,030,155,970,187,382,434,415,126,438,709,892,437,
539,699,170,505,958,377,367,057,555,126,808,597,043,700,462,740,090,039,642,
971,861,356,029,101,183,340,414,639,049,966,419,192,366,277,503,652,070,463,
168,272,305,036,407,394,820,822,499,562,128,039,477,901,280,290,357,312,693,
882,472,339,876,809,258,981,381,917,020,986,302,856,615,069,734,872,492,213,
944,790,112,933,725,830,209,521,064,631,564,098,126,166,635,292,072,345,790,
989,910,084,791,027,844,739,313,231,289,872,923,773,255,450,548,192,266,490,
451,100,615,460,838,205,902,344,040,350,298,895,447,025,904,130,375,282,544,
860,719,799,512,314,415,151,328,477,126,881,185,348,704,656,071,130,431,780,
334,962,825,781,033,857,576,307,693,001,438,585,000,708,393,784,679,515,478,
196,242,154,221,136,133,231,614,163,604,886,112,151,410,043,727,434,471,037,
749,928,549,496,867,825,638,324,429,226,398,205,336,210,821,935,948,113,711,
688,737,892,497,906,300,731,920,324,653,231,084,691,950,720,852,465,962,598,
836,817,422,105,525,943,328,457,551,965,352,877,216,906,059,826,443,190,737,
020,653,961,018,918,985,819,768,268,505,804,064,242,128,602,311,842,240,930,
952,534,331,914,220,723,289,721,639,835,542,346,336,647,861,326,656,654,858,
439,432,902,619,357,628,353,303,321,894,108,421,377,418,140,988,366,391,132,
603,683,469,080,533,169,071,573,842,240,008,340,236,083,874,777,030,215,025,
869,524,755,049,755,852,673,947,509,217,285,540,433,893,762,930,160,049,164,
443,806,756,699,934,670,427,895,360,282,910,173,794,881,606,825,948,907,989,
496,915,525,180,726,855,180,940,289,970,908,554,664,507,831,244,962,835,467,
373,944,907,483,745,201,051,228,236,393,153,622,192,357,651,269,853,573,799,
215,064,058,972,410,224,561,666,676,063,386,678,895,005,064,884,081,574,826,
311,461,798,952,134,461,101,804,385,612,878,509,899,264,344,723,240,659,558,
288,727,884,213,792,226,113,925,365,081,373,083,156,765,853,018,863,114,246,
945,042,031,997,514,029,247,893,585,814,165,862,059,623,590,625,618,200,135,
269,478,602,103,604,766,412,292,622,314,742,002,668,791,838,713,438,277,048,
064,097,775,378,854,063,818,861,012,339,829,637,473,595,084,436,731,887,465,
950,812,598,365,894,956,556,824,412,852,439,864,441,888,943,118,768,251,202,
473,145,575,105,881,137,193,650,406,718,095,677,921,236,430,748,198,228,963,
412,395,963,837,558,927,849,457,838,494,195,954,430,858,026,269,844,563,868,
007,904,901,309,707,363,069,731,511,257,325,790,749,096,001,714,997,795,984,
927,706,886,206,057,062,861,219,167,137,862,915,516,231,709,855,408,605,526,
595,599,257,945,540,079,578,002,145,041,529,687,024,487,287,453,303,363,476,
266,941,716,029,561,627,951,230,296,550,296,079,835,362,129,301,504,382,104,
547,103,023,763,664,680,105,173,144,296,818,575,001,892,103,158,678,179,150,
199,469,344,506,142,311,699,495,353,226,874,553,114,695,515,091,154,754,661,
744,078,015,956,685,562,659,718,821,362,111,404,222,936,297,189,716,011,616,
745,615,696,082,656,950,885,760,061,992,137,466,056,044,896,323,666,170,746,
980,514,287,323,033,265,334,253,917,325,375,278,420,032,535,136,103,787,535,
295,207,531,300,490,016,653,504,162,227,690,739,150,213,235,304,281,151,091,
604,472,961,839,560,810,555,352,028,808,904,296,735,143,016,551,618,937,195,
595,948,191,206,784,271,875,740,910,270,991,519,843,360,567,163,807,385,984,
697,662,330,821,721,191,016,539,333,348,367,267,695,404,760,087,309,301,119,
530,789,911,094,702,629,756,534,896,331,072,950,976,219,524,105,027,968,037,
842,610,091,178,023,208,830,707,980,007,130,581,824,700,478,800,483,532,633,
063,329,923,767,313,264,153,105,881,881,433,999,948,563,886,592,612,818,884,
663,228,808,251,926,821,084,207,008,680,551,701,014,739,842,902,344,689,075,
553,746,218,551,255,347,422,831,647,979,230,705,607,543,509,869,147,988,111,
507,778,658,060,537,795,102,186,433,822,407,102,495,638,534,023,741,367,724,
155,981,321,480,947,386,107,091,032,524,536,086,169,951,726,649,615,871,443,
639,255,118,727,958,822,050,222,680,672,856,594,642,624,071,903,354,420,575,
050,300,308,387,354,511,881,595,391,461,389,179,945,058,690,834,051,502,584,
876,044,225,114,911,522,945,069,952,549,640,459,854,158,720,408,569,553,250,
209,624,697,876,227,602,270,967,117,185,333,890,660,953,002,736,198,785,419,
082,023,398,214,404,417,109,724,391,627,111,808,538,970,590,049,354,244,720,
844,500,061,112,447,234,167,362,613,452,518,290,864,028,340,272,030,992,562,
712,880,574,412,041,366,215,604,287,661,151,970,998,445,796,583,732,179,005,
635,912,609,442,117,092,315,822,213,131,165,095,701,162,391,174,896,178,875,
320,849,360,024,550,931,707,923,439,757,373,266,979,891,249,099,067,359,456,
260,255,563,982,556,772,425,808,924,048,565,730,746,104,942,476,141,375,104,
437,588,858,353,966,787,434,439,835,776,442,310,303,768,093,430,071,724,713,
596,565,288,406,720,594,071,108,386,032,988,982,403,551,891,396,670,136,310,
794,351,868,319,973,812,283,419,105,287,445,165,365,751,313,643,962,612,211,
048,441,510,089,155,315,194,913,276,867,570,168,627,794,006,581,847,282,043,
072,414,770,146,141,174,257,574,038,503,072,315,511,311,583,147,184,221,504,
691,448,347,451,476,300,665,427,520,613,711,340,722,146,439,258,252,832,400,
137,389,022,410,943,372,327,128,601,408,168,080,608,442,740,106,781,683,051,
117,279,948,301,777,980,230,939,386,201,736,506,642,584,834,289,473,836,264,
501,384,082,597,754,994,106,321,953,721,431,957,346,940,200,672,213,211,455,
721,193,174,438,886,920,159,163,232,111,175,335,090,807,072,339,565,459,262,
975,755,173,435,947,916,700,706,506,631,790,647,332,502,399,493,516,452,229,
205,228,210,342,797,828,181,773,407,928,135,879,590,956,109,431,087,968,689,
111,911,717,098,408,183,025,139,091,334,401,936,059,351,698,523,211,210,787,
821,710,181,536,430,772,394,552,899,516,302,598,312,149,815,561,427,604,123,
347,432,117,448,504,880,563,820,930,692,063,865,841,701,700,250,195,337,589,
732,048,076,523,268,922,585,717,100,047,978,934,510,357,875,223,927,216,033,
264,992,051,872,333,562,996,087,907,278,102,407,634,951,211,231,066,646,287,
676,421,496,906,812,219,529,894,212,478,300,257,011,332,256,528,016,391,886,
746,575,147,985,989,625,109,534,416,818,405,088,991,975,584,180,708,273,070,
733,124,674,043,720,418,339,976,986,441,449,328,871,132,676,732,762,628,027,
007,559,419,546,409,453,156,570,312,834,487,821,239,477,039,097,926,177,976,
565,045,813,032,214,976,701,192,958,435,592,881,997,587,675,156,060,078,100,
695,257,292,407,006,356,142,382,303,202,236,804,953,524,144,098,810,972,103,
211,186,070,132,965,476,585,447,560,380,993,442,467,448,584,466,417,253,261,
433,452,351,822,710,223,741,402,131,141,203,206,808,648,607,090,629,219,367,
773,457,615,380,385,840,801,598,703,888,985,077,662,364,783,461,503,757,109,
389,808,931,159,518,251,785,380,029,624,652,726,269,689,133,315,078,601,001,
569,268,805,508,986,456,782,043,576,638,182,547,951,437,526,171,408,049,937,
369,909,718,532,979,610,881,509,669,398,681,632,400,661,734,624,752,257,614,
077,060,387,860,085,945,913,675,485,252,389,456,768,549,667,843,431,351,397,
584,386,517,697,715,630,992,075,694,987,009,756,412,931,476,755,626,067,975,
579,766,002,388,134,152,985,865,798,470,088,106,430,686,757,589,718,032,871,
286,291,712,979,659,288,753,379,728,577,508,011,773,013,817,935,871,543,955,
000,428,860,133,416,944,140,276,962,339,953,059,563,190,392,480,557,233,386,
332,492,668,305,421,420,057,406,235,706,450,472,689,929,362,920,286,359,701,
118,793,137,973,765,323,834,885,956,276,585,258,171,678,897,735,947,788,849,
988,549,854,793,941,466,005,023,474,370,402,796,599,118,520,370,122,314,639,
547,933,509,477,355,299,020,881,148,284,778,137,681,256,464,566,863,319,226,
836,153,774,632,350,999,081,079,730,899,626,707,212,762,700,291,544,337,815,
486,147,726,100,233,804,374,675,302,439,524,100,259,986,173,223,448,874,874,
749,435,012,984,244,325,400,364,133,336,987,768,380,258,167,257,799,829,024,
864,563,693,194,938,848,730,867,394,767,174,635,345,232,733,160,015,256,183,
923,715,166,508,063,281,457,604,948,199,123,805,655,683,463,223,900,482,042,
887,741,286,026,498,023,649,175,843,311,222,685,584,563,261,656,001,519,072,
466,264,084,555,600,692,114,820,431,190,050,667,379,110,770,497,813,563,367,
373,935,715,101,364,186,946,120,968,716,272,984,432,295,611,774,182,968,257,
438,845,445,362,608,149,595,367,332,979,143,787,233,960,430,591,836,258,122,
414,518,962,322,092,376,852,550,153,355,765,010,516,530,967,590,826,310,475,
801,640,448,802,478,778,402,438,311,310,494,481,733,754,521,018,371,646,973,
053,965,827,250,867,333,355,499,022,965,236,479,212,342,477,925,286,472,042,
851,472,144,246,327,249,517,727,979,033,267,334,679,108,028,649,527,069,095,
987,513,744,738,958,372,997,488,420,681,372,806,034,271,479,511,757,512,006,
278,945,950,889,439,163,568,791,743,393,666,490,720,503,500,425,622,385,158,
148,079,195,986,502,868,441,284,198,420,871,955,413,334,799,294,173,096,211,
754,546,761,138,405,149,447,579,736,476,998,164,210,944,453,560,874,224,186,
487,219,124,216,080,663,944,501,475,794,452,691,405,567,847,557,425,075,984,
899,018,316,207,506,778,320,141,210,013,839,448,528,414,973,654,324,123,861,
040,059,237,804,073,603,728,554,704,815,247,345,607,511,473,775,092,463,001,
352,061,473,000,929,158,898,569,314,445,736,577,799,886,873,144,194,497,659,
672,209,510,361,552,707,270,904,075,634,270,761,338,649,325,084,423,450,674,
617,372,989,319,931,010,614,277,215,273,382,787,521,487,180,732,268,150,733,
476,830,787,189,984,550,112,760,305,250,072,154,109,495,365,834,534,948,814,
967,962,884,685,754,897,213,285,893,688,267,880,149,194,025,907,166,028,523,
117,067,805,809,975,864,883,128,351,453,813,794,801,100,749,867,374,604,549,
946,190,500,111,306,294,642,630,614,032,227,575,534,073,390,612,762,013,395,
753,426,369,568,504,367,691,533,765,563,509,450,755,070,145,083,472,138,062,
769,022,724,638,027,530,442,203,636,953,472,582,819,311,653,467,129,041,246,
248,559,016,757,657,267,504,975,435,555,733,839,400,551,209,799,193,535,192,
045,185,153,827,222,490,366,786,991,294,415,713,739,973,506,184,229,541,613,
823,725,766,933,269,341,900,220,746,362,760,387,512,290,148,384,774,483,740,
029,278,553,660,257,601,167,672,756,312,995,921,080,792,559,008,793,500,777,
924,873,166,374,602,802,313,149,184,284,614,096,196,336,990,378,202,912,882,
674,864,191,933,196,622,491,825,061,835,454,964,532,405,430,352,980,669,897,
654,364,127,270,206,138,720,565,152,409,421,626,847,824,796,193,332,000,687,
232,056,432,565,106,472,542,874,653,238,603,473,339,764,177,535,879,075,134,
193,139,975,762,295,134,415,142,097,860,634,876,953,416,302,020,679,734,023,
805,653,955,078,179,932,904,413,366,007,376,473,197,461,151,508,893,954,003,
852,927,973,326,401,673,544,504,242,238,198,394,651,313,085,598,394,318,636,
641,861,808,179,582,312,605,227,485,350,893,704,138,430,810,765,519,525,800,
624,659,624,502,577,268,773,930,770,239,778,900,429,614,841,360,630,969,146,
150,506,207,712,179,009,288,493,476,995,573,710,300,548,569,887,125,760,244,
812,297,234,169,616,269,691,133,955,385,393,068,982,457,460,347,818,070,275,
598,695,428,606,682,733,963,985,718,572,203,692,663,776,101,645,955,248,844,
149,957,427,907,429,004,215,001,165,964,402,999,937,510,817,774,559,132,079,
478,378,980,739,239,426,426,019,786,836,392,458,695,799,917,058,268,413,304,
594,957,810,855,177,162,664,732,207,174,086,370,274,322,337,395,894,766,859,
542,366,682,325,539,930,862,607,767,877,383,241,566,980,487,605,370,379,322,
362,071,853,750,025,210,808,930,881,440,172,755,408,564,337,186,022,447,225,
601,407,899,188,314,233,420,844,079,352,848,090,074,638,619,233,785,720,027,
540,715,874,151,723,115,948,545,770,273,300,062,610,887,196,967,287,372,793,
472,842,763,773,785,379,025,251,456,032,728,238,466,010,022,468,943,817,013,
698,007,724,984,450,998,938,913,696,463,883,320,643,829,830,841,122,415,609,
565,776,559,695,373,497,724,612,690,967,790,820,440,645,044,083,313,436,213,
481,644,930,829,555,444,662,523,611,051,290,355,472,392,308,995,501,491,217,
209,843,541,134,223,372,825,397,241,502,435,261,318,456,725,949,138,006,235,
675,933,367,170,014,104,823,472,257,593,916,685,338,607,021,060,049,530,768,
557,234,281,938,675,760,311,659,596,276,945,757,331,375,965,549,683,681,586,
164,206,913,750,818,167,866,248,922,145,147,203,097,030,919,607,659,165,383,
137,696,453,357,273,585,814,942,647,042,437,915,010,287,953,223,699,422,799,
605,176,010,532,039,585,598,234,673,523,350,198,402,472,422,534,989,322,638,
150,742,091,771,198,469,645,253,690,964,048,637,611,431,366,043,265,256,076,
972,487,838,510,996,225,588,597,034,061,916,969,722,493,457,457,034,613,103,
103,985,939,995,316,205,166,959,607,857,973,124,130,407,158,692,726,134,868,
980,591,868,298,623,345,776,128,495,897,546,083,090,228,169,074,852,902,914,
576,945,976,583,689,187,470,312,462,149,589,882,891,094,712,081,578,380,669,
349,842,212,987,160,797,784,815,861,721,632,924,741,547,544,888,905,457,560,
626,913,855,766,728,967,901,384,274,914,686,599,273,688,331,688,137,138,707,
997,737,916,385,166,882,423,563,844,011,995,103,604,865,759,191,155,124,784,
747,839,863,554,306,303,856,706,777,016,229,323,638,787,906,230,519,308,825,
670,861,958,613,314,841,940,756,754,775,078,894,576,029,994,138,311,585,003,
590,489,291,080,246,213,056,729,579,790,803,142,203,547,197,474,211,577,317,
294,772,574,585,051,749,151,963,515,645,966,480,155,264,249,562,658,011,515,
343,795,108,239,787,366,247,596,882,872,011,116,308,621,083,799,601,883,594,
662,060,196,859,382,862,443,200,393,130,272,616,879,168,349,040,860,324,379,
405,307,242,194,185,574,293,703,676,586,616,449,641,565,728,352,764,643,682,
742,821,246,829,881,577,389,724,342,619,812,366,557,611,539,509,936,713,374,
562,831,257,241,348,692,230,558,684,738,672,771,486,851,284,738,584,984,331,
771,669,699,284,618,643,546,189,055,396,568,888,472,000,528,384,364,818,752,
842,447,972,038,011,942,771,661,003,370,149,954,526,887,107,056,188,632,767,
012,137,450,936,509,129,778,016,378,784,920,131,324,294,535,163,990,997,748,
801,185,207,383,124,435,302,114,348,267,445,789,617,894,994,033,676,364,046,
568,179,113,216,962,263,138,621,055,826,971,658,611,818,415,840,228,046,456,
777,990,250,971,046,507,955,207,822,500,773,079,590,178,944,297,303,159,439,
000,432,035,871,615,814,716,589,930,891,876,291,892,962,277,889,688,421,850,
523,796,628,015,571,374,370,702,313,143,214,777,333,173,374,820,345,520,491,
386,243,115,091,611,731,859,255,138,904,524,040,879,951,881,944,798,207,462,
515,542,853,470,325,307,435,904,564,729,324,248,017,107,646,486,142,618,048,
495,888,493,499,761,406,481,085,162,297,441,324,386,095,948,741,243,129,223,
163,319,055,327,417,125,621,868,202,467,283,998,091,209,623,347,477,194,549,
984,481,202,856,417,736,367,464,127,699,002,835,345,882,373,270,617,691,518,
930,101,496,819,624,864,481,167,575,745,636,823,960,691,913,778,386,480,773,
345,160,595,029,684,727,223,845,255,200,989,399,144,271,233,408,809,002,947,
465,651,319,377,917,512,597,255,457,646,843,373,617,275,321,185,519,429,190,
988,044,855,747,409,547,963,148,620,331,316,772,200,117,566,328,073,532,234,
681,916,081,923,107,406,312,720,895,402,855,943,664,657,742,767,417,915,088,
621,686,655,257,668,285,606,706,810,746,866,853,849,744,325,196,184,232,582,
335,724,766,362,422,250,171,176,777,552,095,370,815,675,140,180,555,321,949,
133,433,731,470,993,945,381,091,074,329,599,157,097,878,670,836,376,329,763,
086,890,989,152,437,436,767,760,202,572,539,002,648,930,480,943,758,635,849,
760,721,755,660,041,817,571,108,069,644,833,540,263,874,027,153,440,272,454,
320,931,078,578,794,882,671,708,471,639,804,284,956,556,845,657,363,296,071,
352,669,910,140,109,911,192,319,615,410,381,060,011,211,042,988,937,437,283,
693,735,131,291,630,505,133,360,060,524,561,969,256,389,159,014,604,184,748,
390,957,384,766,046,399,763,576,892,974,559,689,972,675,319,925,296,149,554,
634,775,389,279,877,692,278,341,388,303,845,174,121,958,580,509,059,377,029,
504,575,022,036,706,748,405,403,092,280,266,189,478,368,767,735,636,503,982,
111,932,852,401,070,513,447,045,793,971,011,533,872,438,299,270,327,441,735,
201,917,229,796,827,304,160,853,205,216,745,603,819,932,360,469,523,103,516,
498,702,844,440,855,094,519,443,003,009,234,270,189,310,632,607,336,345,982,
166,593,539,021,993,118,833,082,616,015,802,142,666,557,180,347,645,565,233,
569,004,559,785,972,210,592,500,572,810,752,061,293,602,631,064,061,872,214,
498,902,386,920,589,697,799,260,152,428,685,224,553,278,625,808,051,589,186,
556,327,063,777,823,153,451,196,374,794,471,528,208,995,030,000,664,848,025,
821,840,570,230,774,642,581,943,022,700,623,971,169,038,314,614,889,135,882,
443,312,601,469,440,075,918,402,475,362,725,660,991,016,449,345,873,300,699,
377,706,308,511,431,282,500,794,779,740,452,806,645,354,909,337,168,344,759,
139,452,237,275,406,941,795,027,391,999,525,656,730,506,482,394,568,251,046,
904,052,398,559,225,835,052,798,882,253,374,346,733,548,998,445,902,861,732,
994,540,859,899,088,453,841,361,216,317,718,210,113,109,190,103,534,323,882,
005,663,243,706,284,005,753,240,118,365,709,190,240,219,446,225,437,258,966,
589,143,632,174,600,792,877,023,213,579,557,010,949,293,247,343,588,149,381,
836,725,294,966,887,412,802,797,622,919,366,751,529,801,003,383,294,778,293,
286,834,524,979,806,655,398,365,322,421,146,404,282,037,899,778,220,936,658,
964,073,562,311,359,583,154,366,913,781,085,480,521,089,645,250,213,173,239,
959,086,149,165,813,029,103,902,759,188,237,610,297,044,444,768,285,127,084,
501,670,995,992,564,464,412,321,522,725,389,939,123,826,095,539,930,500,915,
341,098,580,057,315,670,779,797,046,882,539,010,371,223,385,628,941,704,166,
340,449,133,941,521,863,965,518,557,169,454,113,911,421,514,564,017,543,580,
306,301,312,522,539,577,793,145,846,957,139,238,188,886,475,723,844,981,797,
524,784,731,542,186,654,231,139,869,801,988,386,817,334,502,356,761,666,913,
574,990,769,585,437,012,724,319,121,035,807,111,025,987,863,683,877,682,522,
798,125,099,812,799,098,048,594,674,987,708,968,691,292,949,088,645,560,730,
660,311,719,095,736,855,159,215,325,949,957,008,557,498,060,492,641,770,577,
664,050,608,172,340,668,817,924,449,478,494,248,745,903,487,559,593,511,607,
635,002,562,796,029,724,444,221,977,926,165,055,713,057,745,800,191,084,620,
439,422,618,667,550,969,376,160,370,246,071,688,143,688,929,014,941,977,267,
210,546,929,226,812,185,026,959,637,786,840,834,473,796,659,862,746,810,168,
603,569,119,927,528,681,227,024,204,768,219,183,045,063,951,516,940,844,376,
793,606,533,309,152,719,469,812,341,691,847,105,926,665,978,724,439,349,792,
094,483,325,081,365,795,004,694,589,122,202,295,666,585,703,428,114,235,000,
189,960,588,735,865,985,101,267,922,618,019,675,726,155,378,882,920,345,931,
815,433,058,984,545,706,592,194,428,233,331,872,862,760,518,174,586,907,754,
886,419,709,258,276,106,429,995,920,278,188,660,470,748,408,683,332,294,290,
755,804,600,959,512,951,326,036,827,719,761,690,210,647,646,816,535,346,829,
073,335,771,325,961,005,159,446,139,602,945,853,946,965,593,541,459,807,807,
411,500,251,417,005,736,631,718,266,753,054,238,288,387,734,555,208,152,435,
208,138,492,495,670,737,735,585,473,779,479,899,296,569,320,737,277,417,157,
616,386,010,866,176,166,582,112,119,043,845,404,868,299,776,861,582,324,273,
914,567,367,869,932,636,482,768,711,414,825,878,844,173,251,759,910,453,203,
004,229,904,230,296,063,702,034,102,275,103,622,195,741,176,497,302,104,769,
677,773,742,753,514,404,601,529,300,200,238,653,526,262,989,272,920,679,565,
871,485,644,785,278,131,657,543,279,746,023,261,271,489,196,228,739,013,497,
668,167,840,927,488,249,286,739,121,732,734,446,621,011,709,851,929,339,412,
858,456,860,972,222,420,693,827,506,108,981,416,219,634,633,307,816,346,947,
194,072,222,273,389,073,291,694,724,387,996,419,820,458,653,262,989,221,881,
487,268,310,467,776,727,899,012,031,124,399,904,334,981,328,443,365,489,341,
779,675,851,192,214,898,557,431,507,521,804,398,546,454,453,863,299,465,348,
824,443,849,753,894,635,579,155,475,572,713,772,689,699,694,127,935,736,140,
679,097,360,003,123,065,978,533,047,539,593,233,766,132,093,096,803,974,868,
034,544,262,169,350,202,801,094,206,442,794,100,561,790,244,318,052,901,217,
580,149,008,992,845,458,472,396,750,240,564,699,306,242,424,528,472,476,966,
483,402,496,181,754,643,682,508,618,771,086,055,601,140,482,077,238,771,923,
865,937,528,705,942,747,475,039,387,627,561,340,595,753,932,050,010,284,921,
439,056,839,780,792,440,069,344,418,820,275,910,509,783,324,088,575,773,304,
136,094,792,128,616,353,293,673,414,693,536,350,397,821,189,364,940,465,330,
511,580,361,857,574,427,907,865,849,610,020,652,018,842,948,718,094,197,347,
312,428,449,942,914,487,270,580,945,841,296,985,313,080,194,070,462,048,789,
814,161,150,231,349,609,484,327,775,248,295,031,874,124,212,967,480,656,539,
881,932,847,839,018,035,211,290,138,410,030,011,371,194,168,014,133,572,522,
917,975,500,960,084,982,793,590,004,534,122,501,302,940,188,553,267,739,503,
925,169,327,336,139,467,901,622,541,946,632,880,523,214,973,512,632,921,752,
539,621,461,426,783,117,038,637,682,638,279,600,177,072,487,951,908,942,147,
282,840,995,214,155,102,886,853,961,313,653,579,673,083,883,399,313,087,343,
248,608,121,669,586,242,869,488,213,145,682,639,227,624,585,414,978,662,278,
428,758,690,105,395,579,263,666,642,671,309,563,623,234,098,030,156,300,294,
856,671,692,625,719,089,445,843,938,187,784,824,049,701,240,968,518,937,850,
115,086,835,636,305,031,404,502,852,566,664,930,247,244,511,376,525,647,397,
733,365,313,031,684,196,278,456,616,476,017,028,664,339,675,950,340,425,668,
518,951,310,879,365,840,402,369,821,133,887,769,077,829,856,861,832,166,412,
587,891,188,753,598,191,482,171,055,562,407,862,130,815,241,728,928,671,297,
568,867,211,720,135,830,046,822,845,498,736,049,304,923,356,711,135,422,570,
350,562,281,359,707,720,512,132,480,089,312,975,696,313,756,240,358,547,313,
364,068,437,135,501,075,583,727,161,809,612,103,195,993,596,909,986,797,815,
224,912,779,604,014,542,770,566,022,134,444,958,082,549,230,001,614,383,294,
643,179,989,086,218,121,649,065,875,763,862,211,970,855,680,216,592,446,204,
661,107,349,398,983,798,010,232,560,193,808,652,736,697,950,040,035,807,176,
032,013,788,254,154,423,855,509,542,583,622,967,438,919,154,629,531,458,456,
178,904,182,199,324,986,661,588,769,831,818,895,960,883,763,480,829,377,606,
150,197,230,943,840,977,692,117,738,343,091,813,186,231,924,817,786,741,290,
760,508,445,242,807,570,999,083,899,488,629,723,366,291,621,010,743,728,388,
553,707,511,967,499,727,070,521,585,126,035,210,917,720,328,194,713,511,695,
480,576,046,650,851,726,636,038,307,070,717,625,507,163,700,614,399,541,951,
828,539,681,302,442,726,336,619,683,391,325,361,584,759,023,263,880,050,584,
643,231,092,038,440,989,509,958,586,058,274,585,618,391,903,373,618,919,747,
831,984,600,766,325,833,018,897,989,556,543,479,231,221,516,257,613,254,085,
191,190,848,892,556,617,440,673,378,833,701,552,879,257,006,345,122,413,145,
642,732,986,674,057,087,095,868,683,967,302,806,121,285,159,081,180,549,171,
176,241,157,464,799,275,726,512,569,679,732,888,003,450,570,159,064,599,990,
107,583,145,953,651,653,518,340,071,233,759,085,655,147,858,560,387,422,089,
675,346,507,266,434,142,065,187,442,429,220,373,943,076,321,117,759,471,739,
905,233,942,302,056,682,154,192,579,382,373,317,315,358,228,898,851,090,782,
767,613,144,633,792,197,935,766,403,324,070,353,448,851,417,563,827,055,535,
748,640,539,635,639,681,947,386,541,856,419,996,852,632,144,076,244,712,037,
782,128,808,492,227,157,616,261,156,106,444,098,475,679,151,079,509,466,750,
103,586,622,968,790,851,180,240,877,051,299,638,896,151,797,804,104,551,496,
440,270,210,635,560,959,084,919,333,232,032,205,346,012,819,211,912,940,604,
442,256,044,733,906,485,424,474,031,877,305,041,435,991,240,917,658,071,077,
903,976,962,694,396,360,665,046,092,740,594,628,594,200,041,199,164,956,796,
103,331,598,988,992,882,414,906,833,643,491,202,589,053,368,488,838,943,802,
397,354,811,565,455,360,142,236,698,511,316,290,884,797,883,349,428,119,479,
833,461,184,933,211,702,461,202,900,926,237,920,739,508,783,085,243,722,093,
733,041,524,379,790,588,302,870,719,781,305,021,313,835,639,618,525,003,505,
147,035,621,078,366,300,148,024,434,218,736,924,819,130,354,767,020,309,708,
953,013,101,033,447,228,970,469,494,370,464,594,553,212,295,021,340,355,435,
552,085,361,840,317,520,931,788,046,229,792,804,776,453,370,840,798,643,313,
940,738,673,783,008,056,831,225,843,453,238,299,986,824,231,237,738,893,035,
787,079,218,669,969,755,746,452,240,559,769,855,926,462,370,084,338,039,595,
833,481,735,884,758,967,401,253,950,323,619,903,930,669,420,475,248,332,763,
450,977,043,578,848,433,232,917,647,838,103,958,542,954,119,304,350,519,260,
603,328,126,696,253,026,612,414,006,952,443,584,468,894,034,893,971,763,604,
778,423,646,028,373,212,917,921,446,636,991,425,327,571,269,828,400,693,748,
742,704,830,329,734,551,981,574,644,719,837,347,793,223,275,445,241,522,575,
801,779,520,990,131,662,738,746,764,025,630,125,661,672,790,679,378,891,547,
696,362,704,880,550,604,506,457,443,054,187,844,348,501,811,236,362,096,609,
835,853,482,233,231,805,532,910,023,291,824,065,607,707,185,940,015,684,315,
431,599,517,679,053,958,720,764,015,322,841,072,594,015,385,940,921,027,637,
514,824,442,114,728,659,899,183,650,253,354,717,046,042,398,466,239,189,953,
082,492,285,207,321,704,928,426,596,988,822,037,176,913,681,300,248,279,502,
641,284,579,085,072,711,178,278,008,657,028,998,020,219,557,291,279,301,382,
723,941,924,168,367,960,214,183,788,541,678,397,818,091,744,129,698,701,468,
309,039,490,161,359,165,553,692,280,100,679,937,541,768,973,347,211,660,308,
415,844,796,562,240,474,740,809,365,087,445,059,834,405,771,956,428,677,278,
797,652,106,556,719,772,523,540,312,243,571,619,381,073,793,799,918,923,883,
633,865,394,204,831,945,865,894,816,114,518,237,372,490,433,584,197,516,265,
046,564,940,880,230,770,772,400,439,563,563,202,921,343,150,110,567,112,637,
796,191,996,315,861,893,386,934,951,752,476,795,961,181,501,235,476,757,380,
323,066,617,791,226,665,206,422,715,656,008,816,352,207,716,019,383,681,098,
116,543,049,299,354,116,630,598,614,286,792,555,079,885,985,156,517,250,384,
762,646,412,634,179,171,965,101,693,739,338,609,059,840,063,943,507,812,439,
345,730,546,881,010,244,065,411,653,056,621,435,453,173,453,989,734,560,285,
744,084,099,866,378,408,999,200,866,115,614,681,002,536,676,129,415,318,697,
945,040,868,947,908,480,878,177,578,976,834,763,186,247,604,280,458,851,755,
953,169,714,493,837,320,022,014,836,062,503,577,513,716,190,162,230,502,691,
751,841,867,875,688,630,663,793,132,190,477,015,035,308,956,081,211,197,448,
136,918,145,776,787,828,187,164,636,718,112,376,036,213,684,724,235,413,926,
278,317,883,894,619,754,157,170,376,485,827,688,432,028,898,448,210,428,625,
526,231,615,578,907,584,995,824,465,247,388,165,727,293,006,016,770,996,273,
648,302,733,323,489,822,195,049,598,628,533,157,667,104,424,505,697,896,063,
083,891,859,317,625,084,959,351,817,141,012,595,797,844,521,438,017,451,773,
167,998,678,048,132,945,996,461,395,079,264,049,729,305,975,217,891,105,504,
646,846,525,527,409,879,556,688,145,182,617,931,344,114,809,582,294,022,250,
170,928,818,252,318,311,103,131,076,507,800,052,946,083,966,115,200,799,341,
272,834,249,925,400,374,617,642,016,213,657,591,520,124,484,825,691,183,127,
913,366,137,794,580,569,952,695,471,446,189,247,118,277,677,950,297,749,682,
717,895,225,985,731,892,665,435,641,661,777,212,474,557,777,398,993,207,738,
583,539,762,744,829,498,371,941,195,940,833,937,803,968,155,428,208,394,338,
275,124,815,292,871,355,839,302,609,541,926,839,831,568,554,410,793,145,713,
764,370,829,487,349,555,991,321,702,443,240,820,909,475,011,228,565,528,929,
505,785,165,527,157,534,023,600,509,530,186,355,718,607,653,018,827,730,376,
310,882,340,481,694,315,851,330,587,641,762,311,251,223,056,206,931,048,324,
167,873,303,149,224,551,975,708,863,899,724,750,957,673,124,475,312,996,360,
753,030,750,245,119,907,180,975,976,004,440,006,968,482,332,017,119,407,314,
651,842,796,059,615,463,202,414,640,943,121,159,407,213,003,627,885,076,586,
383,091,203,639,381,970,016,643,005,479,325,547,901,395,982,284,350,647,858,
371,542,416,123,781,627,601,152,815,817,082,913,366,575,026,009,632,873,898,
003,868,322,620,126,865,178,450,653,292,487,569,434,371,455,610,508,291,233,
185,206,005,306,450,899,046,188,289,578,378,087,434,177,456,251,930,540,332,
193,159,047,144,451,481,356,752,686,037,501,746,708,811,190,495,013,913,896,
965,514,695,759,167,993,348,467,773,929,383,403,239,395,591,601,570,814,349,
351,101,443,078,921,392,393,239,345,591,683,269,405,347,626,404,968,421,576,
382,695,214,565,277,770,548,733,148,454,727,723,097,660,480,898,067,240,383,
290,840,567,770,004,696,961,151,946,734,823,581,317,670,252,646,251,999,867,
746,709,038,358,944,875,231,842,306,041,830,044,970,981,256,875,179,564,884,
902,771,025,715,868,470,542,341,390,940,375,403,442,432,975,111,498,985,784,
648,553,686,899,201,307,618,128,048,181,572,090,967,660,780,571,297,350,751,
690,642,923,724,773,129,458,855,822,843,123,998,841,690,915,566,956,637,478,
661,945,662,378,874,384,034,353,268,077,267,605,843,839,048,299,819,601,571,
760,409,096,246,795,865,550,333,374,002,554,390,914,010,781,785,882,962,378,
707,594,968,811,705,367,208,283,937,558,195,119,062,207,273,403,005,029,790,
621,397,114,442,184,107,666,074,772,280,493,305,164,174,382,800,479,829,996,
033,918,760,512,454,035,004,587,262,930,566,141,330,162,442,476,032,077,316,
171,288,393,801,872,201,791,283,330,099,316,182,640,402,201,367,856,670,854,
609,510,942,084,417,110,405,163,936,675,752,353,115,178,371,381,827,400,038,
523,433,673,176,935,638,737,338,397,605,747,920,714,303,330,765,254,533,780,
816,523,031,028,045,685,311,610,232,398,725,292,010,966,954,092,178,945,004,
126,725,203,248,057,153,259,603,041,972,569,336,963,720,344,638,991,551,306,
789,923,889,336,278,996,008,321,247,713,614,207,539,009,885,780,439,263,377,
493,874,230,339,216,031,907,369,573,839,016,480,217,475,904,645,515,778,584,
919,511,876,458,685,019,277,339,817,209,762,759,678,425,421,754,136,490,043,
737,078,838,303,663,554,411,376,184,439,240,303,968,406,922,311,592,827,480,
316,356,364,236,181,794,740,443,208,713,150,934,413,660,476,237,794,192,665,
552,360,123,122,327,093,617,162,369,616,175,320,684,632,059,538,366,166,333,
498,408,902,846,220,384,374,336,538,798,326,590,576,635,404,283,861,455,609,
091,640,335,529,469,812,611,233,512,004,340,273,143,001,224,749,912,587,237,
386,068,690,306,468,814,719,455,357,397,728,501,592,260,603,518,162,372,149,
011,971,422,713,097,795,567,768,199,778,833,956,826,387,596,645,977,514,866,
073,030,486,269,096,680,352,295,557,693,478,775,220,491,765,506,431,757,236,
783,878,819,865,524,388,949,876,148,047,762,119,422,020,715,001,426,829,614,
855,160,673,628,608,402,080,157,336,395,516,160,244,229,371,846,264,297,492,
720,934,512,110,095,390,840,013,259,095,203,602,849,577,204,508,760,800,613,
413,614,665,163,403,554,935,369,674,812,747,721,495,756,346,356,285,817,678,
888,801,553,228,439,634,332,446,339,731,314,590,321,486,701,111,241,067,654,
075,001,935,206,189,022,469,163,781,479,408,584,824,334,214,700,482,919,866,
032,318,601,929,594,180,651,280,407,253,879,669,711,591,304,931,677,738,685,
357,949,356,144,178,010,354,261,749,827,954,165,506,793,038,197,151,814,885,
577,448,085,241,896,865,665,672,515,423,712,443,292,121,189,605,534,019,163,
919,498,321,717,350,368,894,465,220,284,509,752,906,986,427,710,580,150,095,
970,786,410,752,322,214,006,064,108,567,259,141,928,824,776,541,497,733,588,
714,362,243,251,872,467,235,200,422,068,431,624,988,721,712,921,596,343,619,
173,913,178,454,762,790,591,968,936,182,676,594,276,540,516,309,173,219,131,
859,233,976,623,046,730,337,966,973,850,559,459,089,774,336,567,122,787,526,
884,781,526,422,571,314,338,374,984,799,953,905,999,964,614,820,903,195,928,
959,244,990,565,576,210,247,989,403,228,702,659,383,483,678,290,589,980,490,
960,552,856,363,183,133,207,113,166,233,747,885,046,038,766,016,037,264,283,
740,954,239,622,526,133,084,522,635,587,922,495,699,555,129,509,479,251,451,
005,152,070,761,734,839,390,582,351,535,469,907,477,645,538,877,388,947,268,
514,904,882,088,596,088,223,329,244,706,178,671,371,509,826,481,630,786,343,
068,759,938,793,750,027,876,071,376,608,064,659,808,218,482,201,525,323,456,
382,168,017,352,850,561,819,623,057,857,233,194,351,711,326,781,068,077,008,
184,163,944,803,059,123,181,591,488,139,295,846,709,255,140,221,763,331,841,
486,705,168,967,592,494,140,271,024,607,129,034,936,360,303,477,692,365,028,
759,720,960,623,630,852,948,247,887,593,364,254,322,750,266,439,748,133,971,
218,106,081,196,226,751,745,026,330,802,842,356,736,644,919,747,099,932,722,
646,770,069,296,428,585,719,001,388,478,717,143,547,430,448,768,532,678,378,
231,116,365,030,331,335,555,440,230,928,864,785,668,058,450,727,499,802,023,
246,601,882,890,740,781,599,046,198,678,434,721,736,724,331,395,419,149,599,
360,466,254,800,726,546,279,466,723,710,299,884,830,103,248,580,255,855,720,
175,401,689,235,407,746,873,003,723,196,906,107,451,962,529,457,853,273,244,
113,975,329,755,200,345,860,811,854,122,605,408,375,783,906,945,480,725,444,
549,679,946,765,807,616,922,113,174,048,221,968,314,108,135,019,469,087,652,
849,925,471,015,252,156,928,445,198,848,698,839,887,319,402,590,037,541,627,
996,621,488,136,000,075,039,867,888,069,414,614,635,085,461,049,585,877,298,
161,885,970,432,236,338,742,189,829,320,799,749,367,686,944,810,678,961,921,
986,584,315,599,062,765,600,480,296,049,930,230,365,534,803,018,015,551,449,
409,802,046,379,996,724,104,260,965,298,723,567,595,522,936,147,189,940,495,
783,352,263,094,314,663,908,643,373,044,437,761,329,452,886,733,544,812,751,
170,544,309,264,935,156,136,503,405,405,010,646,328,687,469,687,620,289,044,
025,023,727,889,176,861,088,799,392,149,333,565,797,771,010,648,575,257,888,
533,568,880,153,130,572,705,371,267,913,739,234,490,891,364,698,211,477,339,
370,092,272,284,048,903,592,650,380,597,627,401,437,001,703,281,241,788,919,
966,949,597,421,753,370,684,489,696,062,693,926,263,326,586,967,136,042,116,
290,479,528,749,530,282,929,639,909,931,091,108,897,352,809,011,058,311,942,
030,261,197,033,096,316,596,590,527,673,211,274,223,369,244,699,799,119,878,
628,250,791,448,075,697,854,328,156,369,883,845,159,069,338,359,193,960,659,
150,920,408,329,626,590,961,870,704,040,385,203,779,761,217,266,113,011,749,
465,932,208,094,180,413,514,635,516,551,846,498,565,528,512,551,851,589,575,
370,138,345,083,256,808,355,822,802,344,105,422,808,250,517,598,311,739,874,
319,706,607,509,071,346,207,849,502,983,271,226,970,413,513,662,303,886,851,
524,874,652,670,241,798,048,388,200,404,634,254,663,744,130,023,044,180,001,
836,387,531,201,910,116,763,532,384,583,853,037,383,483,718,576,825,869,326,
462,353,778,649,791,518,871,048,426,901,152,052,585,995,180,290,725,053,794,
275,570,590,234,995,961,581,221,852,214,317,193,784,972,718,698,722,111,081,
878,210,194,809,782,854,774,396,237,790,642,588,780,958,400,945,572,388,706,
440,563,102,458,297,247,394,753,146,826,631,581,375,813,010,299,867,787,608,
229,271,993,104,909,017,614,610,198,301,536,861,519,237,517,635,085,590,838,
127,912,351,417,373,016,244,595,004,114,618,745,302,825,066,664,023,522,460,
388,734,209,769,508,809,987,190,748,744,756,905,275,512,306,502,040,311,734,
673,974,563,320,552,803,538,998,962,572,183,851,892,637,736,689,099,527,826,
722,596,956,260,081,993,088,940,777,307,581,782,904,679,305,568,528,527,950,
609,013,156,160,271,621,739,303,738,049,179,713,434,434,873,994,257,449,933,
832,211,152,520,992,074,579,715,238,208,743,304,750,662,122,501,054,971,772,
225,409,381,864,151,363,425,210,402,777,877,950,345,729,680,398,462,479,979,
577,631,067,560,357,035,842,470,349,801,407,875,552,839,100,570,414,454,881,
868,670,750,562,036,965,805,703,930,217,195,573,627,162,418,684,271,802,004,
062,100,775,778,842,593,365,259,955,518,924,586,488,281,480,128,531,232,631,
580,907,503,979,695,863,042,677,063,363,987,124,968,417,814,308,166,465,891,
863,005,004,839,410,168,414,717,252,448,698,832,873,397,347,124,203,138,565,
098,984,373,632,455,211,648,290,491,775,023,227,736,658,936,213,765,310,150,
811,008,687,494,019,502,826,496,272,987,857,296,730,327,214,019,283,068,514,
700,820,780,109,653,636,096,950,265,438,964,219,443,530,889,968,723,740,451,
134,402,815,674,711,739,151,207,408,383,003,132,428,225,139,277,524,521,992,
336,383,495,610,514,553,477,248,834,598,334,756,253,308,514,922,445,963,797,
016,033,231,619,490,703,760,652,823,061,212,131,723,138,799,414,525,465,899,
801,897,025,703,338,575,004,076,213,048,630,995,755,406,961,552,742,219,492,
328,674,404,292,616,434,736,036,197,527,633,006,714,445,458,519,285,799,276,
554,178,447,405,485,136,603,145,995,724,995,707,127,719,756,567,415,788,900,
817,193,297,179,217,178,905,444,930,297,993,632,926,504,469,331,431,408,150,
982,497,666,673,342,614,734,766,710,005,516,332,472,935,214,033,458,023,801,
568,816,188,166,760,798,834,712,459,491,571,922,918,412,493,520,567,442,721,
139,379,116,543,826,469,525,690,297,593,651,949,163,082,664,522,316,138,322,
953,956,087,877,377,391,969,352,797,637,776,712,867,405,257,271,303,210,737,
398,952,841,951,065,363,721,970,458,988,992,904,466,085,952,366,742,859,155,
063,865,918,156,053,071,503,110,007,079,390,619,104,260,819,121,799,446,043,
391,583,427,167,958,027,126,952,699,654,639,699,850,548,207,638,099,166,779,
919,240,888,098,631,168,852,853,348,235,205,518,842,038,957,782,815,170,559,
281,978,795,095,282,511,857,752,627,208,876,664,830,470,833,748,170,522,399,
247,374,017,614,050,892,690,524,597,036,027,612,698,838,198,399,221,669,960,
792,120,539,536,674,762,811,079,266,889,538,573,042,059,926,667,632,538,839,
686,288,845,425,366,128,293,264,327,027,045,965,031,451,210,946,713,581,974,
059,030,169,199,777,541,884,903,543,778,833,223,447,055,763,713,054,897,231,
856,999,343,634,495,240,774,110,845,566,042,404,206,780,697,975,599,073,222,
616,913,915,776,138,732,521,719,755,519,832,767,404,983,863,433,829,318,655,
058,485,912,935,359,713,672,390,915,490,469,525,146,030,834,710,492,787,927,
588,001,230,121,316,475,055,166,843,993,228,953,208,198,757,434,058,395,772,
907,555,379,580,870,855,560,071,203,707,223,880,053,137,221,350,595,141,299,
291,416,329,380,277,205,949,252,823,350,125,610,812,525,417,355,957,759,428,
703,434,079,778,024,320,661,539,749,991,596,063,608,392,750,161,173,104,088,
656,001,935,192,774,771,980,962,982,446,462,042,304,941,854,093,329,515,017,
718,266,232,890,973,288,004,500,923,770,850,250,138,701,143,390,711,251,393,
422,140,013,034,218,771,179,928,572,601,095,133,559,086,608,699,406,305,670,
161,870,791,647,259,174,285,068,585,152,034,276,662,353,131,036,247,280,655,
237,401,410,540,782,334,394,372,452,210,171,805,788,123,346,264,437,619,108,
699,316,722,758,338,732,656,275,972,311,907,360,188,429,981,391,338,869,489,
346,537,353,235,294,809,481,032,721,302,702,647,962,498,830,670,814,551,111,
577,846,910,513,126,697,297,313,749,454,316,493,862,647,970,896,789,615,082,
084,880,641,534,004,819,413,497,880,033,725,612,141,719,322,558,627,845,716,
860,482,345,358,497,639,346,366,180,489,167,747,188,418,716,606,879,083,661,
746,132,271,460,236,876,058,106,432,201,207,797,849,148,127,680,315,845,850,
382,577,022,929,575,346,263,095,894,537,787,867,486,444,218,026,452,567,912,
039,533,517,548,565,069,604,694,313,802,404,831,362,991,043,631,566,090,160,
817,500,909,923,087,234,934,384,482,930,656,557,596,982,647,760,400,648,106,
644,452,401,718,682,973,107,245,759,670,663,604,053,357,201,430,566,540,325,
163,491,004,811,796,568,633,367,169,309,949,237,498,709,694,862,688,712,041,
041,755,254,597,847,240,945,647,114,510,962,945,262,668,532,088,862,485,884,
970,918,505,310,692,841,891,256,025,548,173,968,110,516,449,126,398,562,099,
565,137,725,815,779,135,291,151,864,020,137,393,771,383,339,033,999,235,318,
982,252,820,070,723,879,136,052,054,812,810,322,892,899,667,923,762,669,198,
666,684,853,359,291,652,202,820,370,269,691,419,723,194,476,705,591,923,541,
318,319,880,358,623,575,533,828,746,207,761,700,100,168,506,877,711,743,212,
492,384,698,334,649,305,641,559,688,842,860,166,750,652,875,255,967,770,628,
818,137,404,663,983,041,157,870,472,341,147,337,206,335,361,311,824,561,324,
255,052,281,576,234,364,924,781,898,705,325,510,082,716,070,956,816,495,356,
939,398,953,219,802,921,786,622,261,202,963,149,851,714,060,292,350,467,988,
915,903,420,781,246,575,581,642,529,168,087,727,053,298,726,361,679,554,540,
376,878,307,610,917,954,128,321,972,087,560,065,013,824,133,941,087,265,201,
136,149,440,530,986,665,453,667,871,047,423,182,301,938,048,279,761,181,796,
865,731,672,934,407,380,237,779,985,214,394,952,838,104,712,168,105,804,405,
510,216,701,394,157,137,173,273,789,371,955,999,151,027,796,564,598,504,963,
574,958,033,244,815,159,321,401,799,639,361,667,731,550,297,999,509,039,597,
973,407,170,091,623,201,986,563,854,157,032,258,692,835,220,430,598,783,362,
494,519,590,636,336,697,533,477,209,326,333,519,917,859,303,534,048,422,005,
980,614,467,063,920,429,903,289,974,390,971,682,269,092,196,301,013,678,658,
525,122,818,672,790,898,120,508,276,975,637,329,505,889,057,090,299,311,916,
362,065,390,330,699,193,784,408,470,129,425,294,492,913,211,487,685,575,303,
776,943,422,175,694,912,764,160,839,317,109,241,861,501,721,658,420,116,394,
404,832,386,367,248,975,813,328,008,862,922,679,048,738,400,831,669,234,771,
468,082,703,580,610,736,314,577,339,762,380,912,045,399,523,647,577,607,953,
067,072,265,248,590,173,327,342,252,841,010,383,710,388,524,695,877,397,049,
864,140,419,031,762,006,666,694,532,216,934,852,119,240,346,841,038,374,070,
135,443,882,902,720,593,249,593,610,955,093,251,523,843,789,486,889,200,697,
481,377,806,661,134,079,955,233,279,076,320,429,515,602,833,995,572,321,642,
421,768,475,089,132,470,940,910,113,956,634,246,873,313,578,307,758,241,470,
461,197,737,071,482,427,239,866,722,100,015,973,934,890,045,144,159,515,632,
660,217,836,774,740,551,021,691,312,014,289,013,659,821,751,924,031,929,926,
385,551,674,456,410,079,920,366,258,992,987,274,434,646,179,218,625,495,430,
724,217,921,868,339,532,429,684,626,762,135,284,526,086,652,372,771,006,667,
729,213,949,973,705,719,338,782,171,905,206,227,126,082,624,684,015,359,375,
040,902,472,750,607,886,623,690,009,088,107,186,896,413,198,504,420,245,727,
893,327,770,237,960,512,004,369,676,203,566,809,070,502,916,877,891,102,397,
483,020,210,221,362,553,255,692,933,548,922,095,840,088,064,111,661,598,362,
478,574,303,272,866,500,394,319,992,656,236,696,082,675,379,784,941,208,760,
339,935,381,601,100,519,721,778,449,613,894,962,977,602,449,228,897,301,432,
169,467,165,424,928,991,032,673,327,516,680,303,972,339,881,125,572,620,697,
214,306,370,719,585,069,139,969,079,430,265,233,328,025,340,910,591,336,972,
851,924,578,983,626,769,061,529,045,434,353,104,083,482,579,030,671,235,739,
448,309,563,411,909,780,903,037,288,109,529,534,589,042,603,155,663,124,875,
185,122,649,261,072,329,565,778,457,013,685,359,750,691,776,122,062,008,497,
169,650,301,543,573,871,432,959,747,670,594,096,860,191,957,874,540,403,413,
879,363,897,671,523,218,158,879,188,203,570,191,448,572,959,438,564,121,130,
294,315,137,258,448,864,210,587,669,079,114,651,572,200,155,064,237,833,812,
731,270,912,371,750,674,625,737,280,926,367,877,578,438,510,284,155,279,215,
088,598,680,534,375,957,528,017,695,693,074,666,133,869,504,659,831,762,877,
866,553,651,603,279,330,521,043,261,130,104,617,728,223,513,286,582,763,644,
017,794,600,538,515,730,847,448,460,914,574,181,253,979,694,128,644,866,524,
286,452,664,828,313,634,775,955,141,664,964,697,170,109,953,403,119,466,006,
743,441,330,636,603,733,961,092,725,166,652,173,439,657,862,374,597,489,562,
772,522,402,045,573,814,129,923,490,912,507,417,796,046,174,720,832,019,895,
979,493,380,842,631,782,072,574,219,083,928,297,258,081,401,398,620,526,455,
549,553,673,974,527,042,161,887,339,510,321,007,786,647,460,618,928,427,602,
666,875,720,096,184,832,309,020,870,069,953,122,645,911,973,555,791,073,918,
176,279,789,759,769,523,209,237,026,169,352,286,861,740,288,799,649,782,009,
885,265,810,193,533,988,916,615,819,084,638,701,340,828,515,232,193,601,680,
120,148,216,844,705,372,166,191,244,624,222,734,086,845,320,552,003,043,303,
996,802,787,210,819,564,799,966,864,917,581,079,718,420,195,427,340,339,162,
079,900,421,745,842,722,333,838,296,701,558,100,213,070,445,071,199,243,370,
749,458,183,424,582,011,266,333,760,294,097,766,917,173,856,520,959,149,887,
043,456,367,977,086,382,017,799,991,104,148,267,765,765,154,630,101,135,673,
438,306,855,186,875,814,483,763,875,557,629,209,242,682,630,582,931,320,849,
684,180,474,183,123,730,047,045,581,549,837,234,873,437,083,964,915,185,349,
646,104,981,474,312,227,142,805,685,695,658,184,419,443,479,389,634,400,571,
155,909,055,391,380,567,219,522,270,450,259,791,385,082,935,683,468,212,531,
508,612,261,621,470,909,487,451,806,717,130,656,195,738,176,727,837,513,947,
847,642,928,996,495,974,073,613,009,418,410,525,611,571,548,004,951,824,583,
105,948,004,276,028,921,109,258,929,630,917,572,302,735,649,547,427,316,008,
301,452,031,662,147,191,647,008,919,451,990,466,552,010,753,336,947,497,300,
061,245,114,529,246,334,167,772,376,438,758,288,604,487,916,228,845,110,810,
343,092,253,878,911,119,948,876,585,928,705,456,304,975,312,907,958,546,703,
692,843,151,694,612,375,221,841,074,974,221,643,219,310,522,404,647,575,701,
547,742,775,394,755,435,790,539,912,641,291,095,132,935,278,560,024,820,695,
098,984,686,254,336,513,732,670,445,741,876,511,242,744,340,670,493,937,035,
620,171,521,193,631,441,969,325,492,997,024,262,776,545,339,881,312,436,142,
508,544,999,238,888,206,536,118,952,846,274,177,258,187,838,539,872,449,635,
452,063,213,679,640,417,515,303,704,602,041,472,699,686,728,895,961,013,035,
925,819,268,701,524,416,517,468,044,207,647,728,158,357,627,474,425,942,049,
812,236,158,390,320,693,185,751,666,178,022,294,180,510,299,014,276,999,699,
539,867,263,875,264,896,183,079,487,758,342,416,006,746,808,152,374,760,730,
335,421,756,394,288,893,778,569,633,213,063,010,035,047,398,026,034,932,633,
725,296,425,731,706,563,926,464,393,078,713,443,794,179,804,085,811,367,964,
978,375,803,922,266,210,110,056,649,284,937,471,995,137,749,435,743,905,939,
446,708,063,809,283,691,679,513,432,398,560,915,946,146,323,695,176,764,868,
842,377,642,271,131,445,306,891,731,342,023,007,360,806,609,644,811,091,309,
146,221,412,148,239,853,190,463,203,726,845,618,987,144,326,746,057,391,782,
677,518,383,070,408,896,741,841,414,348,411,518,169,043,052,368,531,624,677,
061,405,431,179,364,014,015,806,657,393,105,291,982,300,331,892,470,168,294,
774,173,266,139,819,021,524,393,753,665,922,082,686,455,244,695,286,719,235,
339,648,635,824,634,163,671,342,944,807,790,337,854,471,402,021,270,076,220,
782,450,040,294,200,582,156,629,634,280,795,297,313,375,721,833,871,770,351,
413,509,837,919,987,994,651,489,862,246,428,809,376,397,050,317,124,053,173,
639,087,329,731,840,925,553,072,365,515,994,668,930,583,614,765,529,535,467,
582,869,791,324,479,175,745,359,473,064,153,627,142,273,608,688,862,750,418,
250,168,736,766,509,597,505,436,760,039,314,918,289,150,246,949,166,208,111,
890,844,623,862,466,257,126,730,797,079,068,903,358,075,805,601,281,127,716,
847,035,340,123,831,419,843,406,341,701,716,367,843,818,553,773,397,573,446,
040,852,229,841,415,066,468,301,462,247,770,184,111,848,695,017,131,280,518,
716,428,370,795,762,054,138,563,840,802,177,048,306,638,619,561,140,983,861,
489,810,225,809,413,732,310,002,866,477,673,780,082,906,759,115,564,989,740,
184,048,690,213,743,069,899,057,409,921,006,066,272,219,353,484,981,036,210,
460,777,802,897,148,856,103,757,452,141,697,718,501,691,387,684,692,221,635,
862,696,525,410,500,313,805,614,373,590,544,042,478,842,189,718,328,014,384,
379,905,522,273,652,434,686,926,921,094,016,914,823,816,812,004,489,293,710,
669,998,607,297,213,261,118,720,949,117,022,759,674,885,851,303,248,701,085,
662,887,978,543,054,838,368,705,613,297,964,134,970,309,935,632,025,309,184,
809,562,852,282,212,587,196,038,952,550,839,090,402,516,212,690,914,613,999,
958,245,124,201,132,385,982,492,520,865,745,108,720,568,127,518,664,381,976,
672,108,228,672,125,275,868,204,346,936,821,651,211,688,820,988,761,508,417,
387,157,928,040,308,778,550,930,107,568,833,468,047,472,395,503,621,329,605,
984,140,373,733,741,863,237,028,679,874,774,454,784,296,619,066,088,337,772,
614,197,198,244,813,749,137,472,217,103,570,688,227,543,334,508,257,105,941,
289,544,225,717,488,450,160,044,888,896,871,179,953,512,295,760,726,470,368,
024,755,977,869,390,929,510,777,721,193,824,945,149,979,701,983,751,476,916,
799,968,624,972,191,392,949,097,600,059,187,336,935,948,012,238,263,271,114,
343,767,611,486,552,605,743,589,927,477,956,067,067,330,165,806,458,513,749,
413,424,389,541,571,052,691,246,764,851,728,210,866,393,507,280,091,919,064,
926,982,547,691,679,624,004,077,462,988,984,890,733,544,390,463,583,411,591,
377,385,173,349,362,245,762,026,191,363,608,511,140,707,492,197,000,328,740,
471,786,339,463,415,580,965,336,338,896,706,280,055,830,553,500,055,480,988,
293,244,198,697,759,207,987,709,983,421,250,348,832,253,266,869,938,582,372,
528,589,377,939,228,237,893,867,364,115,349,307,821,460,875,151,051,347,555,
642,408,220,306,318,383,227,385,241,138,214,535,534,038,187,801,094,216,886,
195,882,702,241,012,394,170,477,020,533,279,040,294,005,464,225,522,809,380,
089,928,234,673,120,933,580,257,797,110,666,279,568,394,782,372,442,911,693,
560,199,409,720,834,905,029,661,350,428,089,810,627,272,288,115,957,434,476,
804,334,586,613,528,235,218,515,817,520,505,108,842,341,152,974,117,146,407,
445,809,464,683,013,656,419,745,914,689,712,397,470,899,788,490,539,985,450,
687,665,445,395,916,953,267,725,042,872,735,232,550,871,677,195,730,295,918,
200,233,982,137,883,963,471,307,588,160,801,092,209,245,955,359,472,532,366,
169,273,807,977,370,290,023,009,885,838,857,976,903,608,012,682,911,397,393,
701,234,618,054,986,890,098,774,591,206,407,962,264,835,339,259,405,239,023,
841,049,604,153,169,861,381,965,041,987,744,128,159,660,729,028,105,138,689,
911,152,676,729,591,640,848,818,123,544,781,877,908,505,151,102,668,292,386,
489,042,361,146,162,295,739,891,415,716,418,198,740,071,554,386,353,777,026,
458,127,851,794,014,491,645,625,013,784,006,582,726,067,320,332,464,351,414,
151,141,812,804,839,055,741,892,981,000,632,876,846,556,781,009,013,852,403,
607,898,187,344,897,049,736,060,223,150,803,825,852,973,485,650,437,547,337,
723,541,288,283,577,520,870,835,043,391,607,868,434,272,062,067,221,366,910,
380,706,246,037,005,160,373,894,237,948,683,526,750,322,888,464,638,606,551,
935,239,451,494,487,256,339,692,141,996,766,153,316,407,383,900,580,166,284,
043,030,398,923,510,433,980,545,786,916,155,813,207,992,507,581,187,084,565,
490,152,159,925,908,162,103,473,842,787,483,738,716,387,361,776,790,280,010,
077,317,540,741,153,294,595,418,467,154,161,433,007,944,533,238,575,597,887,
436,159,771,926,088,855,200,660,084,869,813,279,797,154,430,136,981,123,519,
668,153,893,706,332,674,271,868,190,333,422,070,283,972,051,462,137,296,498,
005,839,483,959,958,821,102,508,394,508,271,184,256,815,074,092,023,035,436,
548,223,387,010,988,773,884,290,585,734,266,368,290,912,921,408,226,268,584,
390,821,882,871,361,297,989,682,454,535,559,866,783,546,410,139,766,064,723,
236,090,239,303,901,041,953,516,686,670,640,522,708,003,332,701,548,933,093,
302,413,514,062,648,564,071,262,706,272,893,597,348,791,356,375,163,156,101,
515,559,376,361,066,665,631,709,130,196,103,745,539,002,036,162,530,864,264,
315,478,636,988,535,579,723,519,749,134,023,571,706,719,517,068,851,776,449,
107,053,506,296,569,917,413,665,383,705,348,168,097,207,954,560,453,744,200,
437,202,115,710,071,861,888,652,977,283,822,757,996,432,768,249,072,978,609,
279,426,620,988,336,127,733,724,280,051,913,928,293,967,377,947,631,977,708,
575,170,408,528,524,296,618,712,574,989,125,702,108,895,144,532,004,659,232,
820,622,732,672,941,880,514,568,586,348,913,670,658,573,304,526,975,007,340,
044,709,987,025,492,215,954,064,023,679,302,607,291,372,180,946,007,606,379,
804,772,361,505,362,570,313,315,504,651,800,397,150,565,765,728,468,422,434,
440,671,311,563,353,532,605,926,047,911,212,910,666,277,598,023,431,040,715,
566,573,211,908,043,772,687,893,002,396,306,775,193,671,844,906,940,481,714,
286,818,003,096,014,443,213,516,673,719,472,196,539,436,678,854,881,643,496,
450,379,563,130,108,464,044,614,236,454,737,262,648,038,195,080,999,246,316,
125,876,315,873,750,975,277,654,278,098,049,744,673,262,877,889,203,626,621,
832,057,296,583,954,255,017,795,323,008,585,760,535,885,833,595,038,134,443,
333,978,291,467,279,362,938,855,806,112,367,785,470,436,066,183,174,680,190,
157,741,553,849,254,965,209,718,183,463,333,920,408,546,842,628,967,098,698,
005,590,544,760,006,881,464,443,840,664,414,650,059,676,162,982,973,498,855,
414,170,873,514,709,275,455,978,406,241,217,722,647,976,380,082,378,590,913,
560,738,563,469,766,913,822,765,773,095,537,348,300,300,856,032,204,515,571,
517,837,425,918,884,103,017,925,467,730,250,028,305,124,400,437,090,413,038,
876,848,217,779,368,384,470,613,390,846,295,337,506,519,673,869,947,344,179,
695,609,504,695,863,826,842,898,101,303,489,207,003,886,944,086,959,947,977,
210,631,544,897,427,650,328,240,265,575,039,313,112,285,579,648,447,976,483,
481,022,416,828,856,421,084,496,325,989,520,943,350,265,823,532,755,319,254,
719,273,079,054,537,591,411,026,213,416,068,021,750,978,517,588,161,433,139,
940,606,638,260,601,456,805,219,051,087,069,744,296,678,147,421,900,938,572,
504,013,108,662,609,105,115,619,555,088,323,660,135,429,828,372,453,205,100,
001,998,497,750,612,602,479,554,413,681,088,646,062,933,316,306,047,582,692,
642,994,520,191,212,252,507,741,813,704,098,113,435,184,435,809,474,072,280,
779,220,175,818,125,664,894,856,915,434,495,533,390,870,351,434,274,168,145,
614,264,794,050,040,243,535,040,929,116,318,629,616,422,650,218,670,706,743,
694,356,908,038,458,637,034,220,717,724,997,418,993,543,574,747,923,873,213,
805,132,328,440,986,006,178,764,798,501,953,547,515,927,807,186,743,116,148,
784,019,276,103,026,805,677,650,039,468,103,552,385,450,511,147,012,564,795,
824,426,047,104,474,433,730,985,215,630,097,990,130,850,036,276,673,079,450,
567,097,861,692,848,799,459,937,388,459,866,921,536,143,799,967,995,849,204,
039,860,421,196,319,398,058,608,394,655,130,813,307,745,887,409,316,703,907,
056,919,846,682,548,611,624,824,558,799,383,262,126,690,794,008,925,222,575,
860,219,751,426,466,962,428,230,325,607,124,024,102,401,647,645,288,705,173,
286,271,250,025,353,683,892,823,928,846,915,192,454,474,915,232,737,926,760,
235,474,346,908,451,196,707,675,315,479,869,350,901,833,307,600,883,113,942,
731,892,783,418,140,910,320,899,683,232,428,072,323,216,745,014,426,844,663,
686,810,495,193,302,875,257,032,578,086,591,789,316,088,904,581,682,289,798,
915,459,249,147,939,653,875,479,001,122,901,345,056,484,192,867,087,434,879,
982,573,273,600,035,656,416,250,681,343,136,946,350,401,347,506,867,734,973,
534,578,245,675,166,562,468,715,188,130,995,289,985,995,918,318,728,446,737,
993,074,592,872,028,722,880,399,300,223,598,804,647,982,249,810,483,763,001,
030,793,502,253,900,864,463,745,377,127,253,712,723,678,032,622,672,626,174,
661,889,061,359,759,400,779,084,954,718,690,773,470,826,324,685,013,022,296,
093,573,224,225,430,929,069,246,202,449,063,442,941,958,365,145,208,166,729,
761,051,249,752,795,758,991,778,242,739,291,325,117,113,895,826,097,978,508,
393,007,659,896,342,877,822,216,529,511,000,986,831,550,864,415,075,967,157,
339,392,616,436,668,821,285,149,691,353,211,306,893,966,619,152,249,987,485,
595,960,119,987,205,393,039,661,753,744,282,279,875,208,485,954,806,467,400,
960,686,723,697,581,801,423,162,471,979,946,301,904,064,879,122,530,888,164,
276,737,322,044,428,560,593,963,114,966,303,737,101,833,603,792,941,134,723,
881,997,371,803,702,711,361,155,497,556,779,510,066,260,844,174,830,099,899,
341,353,858,494,969,276,236,409,277,233,366,998,792,822,590,317,046,373,613,
557,172,555,909,518,555,108,379,578,908,579,429,783,187,045,686,287,051,249,
235,963,079,067,466,130,259,944,937,734,592,663,738,689,685,340,589,729,026,
497,136,264,240,648,206,546,189,681,723,550,859,971,641,300,381,804,892,541,
508,015,493,472,183,128,974,685,340,323,165,645,864,374,161,762,058,225,423,
324,513,379,021,975,635,129,586,691,741,107,358,726,800,073,543,452,817,039,
839,133,990,896,017,486,799,990,352,664,360,415,641,958,478,585,908,894,542,
238,381,463,446,265,686,461,421,586,059,374,141,507,487,291,999,259,310,680,
462,992,402,235,725,895,844,907,407,695,451,612,664,562,122,307,897,373,247,
533,092,646,695,558,265,837,001,505,089,252,632,032,904,307,438,633,661,399,
932,309,273,887,840,358,007,347,074,582,326,608,704,827,908,223,197,094,637,
372,056,394,266,300,508,328,661,354,741,211,366,376,336,064,488,953,557,012,
135,897,754,220,113,488,210,474,587,806,690,695,909,096,933,548,049,792,557,
822,258,011,467,633,817,101,657,729,917,073,867,835,378,325,387,504,696,659,
267,577,731,334,243,454,524,080,048,875,157,158,993,841,406,798,693,783,796,
984,822,456,553,461,121,841,302,055,734,040,617,753,962,529,075,990,665,209,
434,613,089,872,109,912,890,043,399,544,122,443,891,454,682,190,868,830,246,
344,193,141,365,354,518,004,286,543,515,723,281,917,694,316,124,751,002,559,
977,479,732,638,238,610,735,820,199,551,307,100,397,244,748,109,285,547,418,
114,360,652,528,773,483,340,738,046,192,431,143,057,591,370,223,158,510,549,
690,569,669,859,476,058,779,602,708,805,234,324,548,058,933,391,691,200,521,
333,133,874,586,358,792,957,555,002,581,919,468,542,051,540,496,281,347,165,
304,539,142,589,180,826,575,720,372,833,383,432,710,733,146,496,709,769,926,
745,953,263,616,990,725,925,131,193,075,311,969,456,574,868,674,890,080,608,
778,917,074,950,666,399,167,673,705,596,683,024,195,627,088,273,462,239,083,
835,136,526,177,079,995,279,192,632,467,944,944,892,167,368,664,141,996,535,
885,232,351,304,257,479,925,900,009,841,159,774,902,196,294,680,577,866,677,
752,711,616,241,511,432,877,357,630,906,378,725,301,951,894,566,218,101,518,
064,573,796,310,748,287,106,838,277,238,954,845,568,247,951,725,434,484,046,
395,956,431,092,796,099,440,057,860,984,105,314,765,628,796,938,250,070,385,
572,360,908,356,159,809,951,185,722,504,051,707,304,874,229,345,328,355,156,
744,376,959,239,946,389,624,616,255,325,416,710,384,464,380,026,290,844,382,
182,639,654,687,414,150,070,198,325,480,110,862,216,260,302,907,160,318,043,
125,733,468,659,594,681,960,756,302,413,993,370,758,475,544,935,850,634,673,
599,884,415,812,375,462,364,799,089,886,112,191,896,893,164,128,952,797,466,
124,441,084,799,302,738,237,311,453,441,803,902,423,607,205,437,538,002,639,
203,017,180,816,523,129,947,741,326,958,395,468,457,447,844,727,937,952,596,
480,211,784,735,380,191,571,623,146,578,645,529,581,030,049,029,510,033,067,
983,004,419,475,484,198,710,984,590,266,002,100,916,539,797,178,168,548,970,
832,452,339,675,823,369,830,799,732,896,068,078,622,828,353,258,866,563,967,
379,900,551,448,294,287,714,687,527,217,300,705,769,876,995,772,903,625,361,
532,726,493,306,680,515,150,008,989,886,594,381,599,841,447,507,883,738,709,
003,151,296,519,801,647,703,462,263,525,688,645,032,992,880,198,956,715,202,
414,569,761,062,521,371,940,431,999,142,719,522,106,955,146,140,509,931,264,
102,897,480,521,961,684,644,075,988,651,901,570,618,171,845,735,171,831,671,
674,081,842,999,500,364,062,586,450,985,153,696,346,576,827,570,840,095,226,
136,698,174,483,956,285,775,277,305,024,790,926,969,560,917,310,645,168,987,
866,938,846,511,277,765,124,534,288,631,247,045,382,659,401,183,073,591,996,
977,842,727,824,479,204,882,068,677,458,607,564,638,982,991,230,859,635,338,
487,306,006,809,871,373,761,573,680,564,610,760,314,440,138,846,469,265,874,
381,970,118,254,668,221,780,992,041,726,338,651,241,739,079,687,935,840,454,
548,219,272,140,321,823,024,906,826,377,870,447,765,434,501,970,929,405,422,
757,137,312,659,011,540,043,875,337,493,766,198,709,951,004,971,232,442,885,
734,073,897,613,349,605,888,661,983,850,926,126,764,094,899,769,485,246,461,
719,556,616,298,233,199,194,827,495,607,522,224,550,999,430,678,068,478,566,
148,476,103,135,110,231,909,315,362,654,170,166,861,862,453,982,133,908,591,
833,167,437,516,739,279,655,677,562,512,992,705,305,693,262,718,497,663,571,
843,966,364,692,138,254,145,161,088,991,565,627,537,158,136,509,162,485,870,
411,491,831,888,522,896,328,245,732,504,842,841,303,140,933,300,959,065,695,
006,548,526,567,349,008,545,755,972,449,781,208,405,218,842,873,677,895,598,
621,425,327,043,622,592,762,193,958,987,806,760,874,797,403,982,860,860,568,
153,685,883,249,911,023,700,078,319,096,889,789,042,334,651,309,082,508,265,
244,381,360,885,599,514,047,726,719,429,841,549,749,574,701,411,056,682,685,
398,757,609,671,116,039,050,640,487,791,295,382,347,560,118,867,964,920,236,
917,123,058,144,177,211,527,834,980,198,562,566,708,939,141,237,309,729,674,
130,727,499,533,869,058,881,303,822,230,293,740,094,577,660,295,375,192,109,
249,137,901,034,132,931,603,809,339,586,527,118,728,580,620,821,257,680,573,
523,611,175,134,915,563,809,405,096,658,190,936,275,906,578,998,635,385,559,
148,284,025,222,297,686,057,083,703,636,067,206,595,375,137,039,791,168,037,
265,816,893,098,165,700,872,625,518,193,937,573,698,396,084,924,149,105,724,
695,109,512,172,592,332,487,216,653,069,200,241,811,563,480,246,709,017,452,
971,280,817,082,110,208,792,877,347,798,353,011,368,455,689,104,273,728,025,
981,522,236,252,751,022,630,920,144,004,361,778,171,375,428,453,413,248,613,
189,159,519,322,467,233,391,495,580,366,769,876,256,759,912,101,547,837,388,
952,267,199,587,721,727,784,866,241,418,784,795,073,508,954,460,531,578,369,
986,746,132,974,232,855,758,752,154,675,296,685,720,717,001,326,354,555,760,
378,253,311,629,203,393,440,377,496,937,860,211,052,670,434,081,915,960,992,
528,224,999,640,510,063,188,850,949,814,323,944,219,914,799,881,615,367,788,
071,006,889,840,562,397,186,179,670,342,141,962,537,693,253,745,694,835,249,
840,515,102,716,042,387,783,874,664,750,633,928,467,826,632,517,580,100,959,
325,399,121,452,451,856,602,784,127,543,461,225,347,944,291,866,780,604,381,
223,577,992,265,692,261,164,395,647,581,833,335,688,950,270,392,825,916,760,
433,239,956,117,038,987,098,204,791,263,055,307,346,547,670,470,642,928,975,
099,980,170,215,287,123,177,933,392,538,932,873,401,960,702,399,393,819,452,
007,047,290,951,117,129,239,826,334,136,846,688,047,372,587,074,323,386,580,
173,402,745,723,243,703,936,625,098,762,356,834,678,603,097,239,227,123,405,
247,467,497,819,236,173,281,600,480,257,901,700,336,166,943,650,846,659,981,
241,520,809,131,560,780,361,944,515,507,688,783,300,173,268,532,906,602,695,
833,296,108,235,279,294,151,599,067,504,902,815,436,843,681,771,308,234,140,
510,035,456,764,417,010,600,204,565,485,148,693,376,649,032,443,715,697,587,
590,118,295,944,755,114,079,999,869,692,203,259,826,976,643,064,994,138,237,
080,368,905,102,642,504,198,101,582,519,042,331,779,101,269,684,874,276,291,
829,320,167,750,899,493,776,258,230,671,332,468,746,397,540,277,077,669,881,
472,783,378,556,428,135,838,750,567,437,569,779,952,178,231,490,671,073,454,
498,032,306,017,474,025,369,557,298,605,807,376,472,392,482,106,687,908,483,
681,743,242,963,678,901,135,232,453,002,537,625,295,475,417,939,850,955,885,
297,874,837,765,503,027,731,876,439,404,698,587,386,717,261,524,059,287,990,
701,553,404,679,101,479,897,054,642,707,297,611,907,604,978,967,423,852,143,
558,076,536,894,791,806,590,327,801,685,691,061,603,998,109,032,986,465,297,
110,370,682,851,737,136,475,879,101,250,242,440,678,093,860,835,548,507,720,
521,059,935,946,408,279,361,859,781,192,110,883,352,747,629,474,628,997,460,
941,664,963,961,418,664,801,396,505,285,029,910,874,742,985,751,195,393,429,
931,288,378,240,416,317,616,020,296,202,755,798,650,363,090,773,454,818,981,
635,648,940,008,588,481,558,602,437,898,790,454,710,577,129,053,016,149,859,
929,940,568,776,994,234,540,138,576,650,724,147,896,462,828,648,631,892,557,
787,698,874,232,042,078,972,543,158,813,662,625,302,722,538,419,905,902,330,
822,636,908,505,258,767,502,937,356,731,520,845,915,504,696,071,347,573,615,
430,251,330,778,322,920,633,057,273,354,802,569,526,633,310,477,940,254,168,
693,702,344,905,376,179,349,508,092,952,074,965,612,892,552,775,239,625,622,
784,316,809,541,533,765,852,305,863,734,843,330,995,736,087,003,210,263,217,
152,276,983,284,232,054,254,919,906,488,918,559,613,700,982,314,798,774,745,
843,606,893,431,390,309,443,052,037,829,606,553,754,555,878,734,679,591,039,
124,475,278,383,738,328,717,378,011,245,168,816,831,989,203,918,853,453,751,
050,378,434,784,726,814,657,246,762,830,715,148,270,680,730,906,020,828,716,
952,435,033,944,947,409,777,725,172,658,103,240,741,798,724,539,002,010,861,
980,794,797,654,701,926,916,569,286,114,455,739,167,057,452,395,647,421,113,
946,818,811,798,447,427,978,719,407,533,093,753,303,090,388,449,074,515,359,
403,005,807,643,074,459,454,006,946,755,985,536,831,166,312,889,371,806,210,
429,799,044,399,695,028,074,980,934,146,822,245,427,241,405,751,871,704,863,
834,554,811,112,658,156,868,121,136,287,821,352,278,916,281,743,077,640,648,
629,704,017,571,451,048,888,914,603,641,950,986,689,096,939,211,246,050,909,
896,900,012,821,179,080,413,268,592,965,754,625,533,959,528,648,683,176,149,
284,271,891,052,673,250,701,044,777,226,453,418,956,507,590,681,489,020,336,
202,751,128,759,534,507,618,571,587,210,176,776,643,000,212,790,093,728,652,
842,356,883,166,464,075,894,205,230,486,641,823,699,557,128,635,239,703,272,
578,276,505,977,541,181,111,783,855,655,661,840,768,546,784,173,210,760,357,
072,540,575,882,679,512,565,140,075,223,532,146,729,766,498,792,939,521,617,
555,559,215,225,413,134,608,488,159,903,894,602,884,109,017,702,956,894,918,
571,076,902,201,714,145,454,854,885,856,419,210,783,400,373,006,590,232,123,
479,468,002,368,664,955,372,978,141,984,821,254,301,701,160,357,274,809,177,
125,907,548,040,534,659,995,018,578,328,682,107,608,270,002,950,053,637,535,
260,381,143,620,726,479,056,549,341,866,180,598,449,509,511,612,309,194,612,
641,259,834,060,240,254,900,233,629,588,359,512,310,500,130,465,108,544,062,
717,134,799,667,362,624,218,152,667,044,398,993,067,056,629,823,508,072,684,
653,941,136,509,157,330,583,155,632,080,491,002,634,477,236,387,550,786,416,
777,184,109,575,007,169,990,324,783,630,470,558,488,347,482,871,582,509,010,
758,800,776,566,992,363,365,868,094,048,009,533,776,283,047,903,008,090,660,
720,581,076,830,848,167,484,777,693,507,047,805,946,185,943,980,162,049,869,
963,114,785,604,227,116,067,367,720,217,417,329,865,767,188,001,292,842,311,
735,463,660,914,020,666,668,060,621,989,559,754,903,878,005,617,593,656,176,
121,709,344,311,247,412,134,842,823,338,953,880,514,722,213,524,280,466,721,
153,971,282,797,276,054,113,623,630,238,992,829,667,466,761,718,718,656,114,
102,345,049,326,623,358,479,356,038,092,668,361,155,180,141,982,999,931,882,
749,683,185,122,838,599,690,479,816,408,560,001,008,297,354,557,678,554,308,
003,578,402,225,131,920,780,377,371,655,404,391,287,821,713,957,282,204,948,
960,734,191,984,172,458,730,217,284,345,996,072,624,474,355,621,496,333,639,
914,633,664,152,737,739,891,313,755,993,627,092,611,128,627,594,167,644,944,
791,438,243,578,707,975,057,131,430,462,457,846,275,019,627,609,434,220,910,
980,235,173,029,879,551,127,199,713,756,423,097,576,110,996,130,590,625,872,
926,706,007,788,412,525,817,644,245,453,970,480,799,677,217,398,065,606,614,
759,889,477,448,869,538,823,309,738,697,050,154,020,136,113,714,860,296,513,
413,494,615,471,503,293,095,130,182,682,810,976,773,614,760,585,628,234,261,
861,789,317,038,015,967,635,477,698,434,422,386,824,320,411,831,098,850,133,
186,184,946,501,687,240,994,137,541,806,153,942,144,246,750,457,423,526,834,
575,685,647,458,934,377,678,239,161,168,501,839,619,801,735,975,883,870,087,
758,591,976,335,410,137,100,103,748,965,209,000,866,199,518,593,661,218,901,
741,030,643,120,780,234,183,865,803,427,406,031,465,503,132,239,191,648,726,
524,189,281,473,020,282,294,782,996,634,101,277,847,007,855,746,595,590,539,
937,753,833,508,527,445,869,624,593,379,097,843,375,558,352,847,771,240,373,
813,289,504,446,469,632,709,401,282,085,608,851,529,022,026,356,286,068,135,
055,707,928,046,045,401,817,915,114,044,268,347,422,480,768,302,775,315,558,
576,059,202,551,884,815,461,022,048,099,563,328,902,069,062,441,065,369,469,
820,097,784,251,641,670,526,635,477,957,677,030,056,720,334,792,916,130,064,
567,556,813,961,996,237,801,035,994,093,374,859,235,197,692,496,987,885,473,
519,141,192,115,331,945,673,308,374,683,237,015,680,420,863,223,536,367,806,
783,407,107,158,115,216,813,608,457,204,701,658,774,230,683,823,311,897,124,
753,564,155,116,182,261,770,688,900,619,690,544,020,756,774,225,326,656,923,
428,004,856,529,781,900,741,388,273,049,396,497,036,449,229,638,203,132,660,
430,881,455,338,100,249,469,695,781,023,478,441,136,394,520,274,994,565,816,
925,150,298,098,296,198,535,087,892,760,860,966,766,696,436,171,940,893,368,
877,521,700,326,762,077,148,410,699,807,852,769,719,215,179,650,529,474,827,
422,170,957,875,662,278,231,578,740,390,739,800,925,150,047,854,517,174,874,
010,331,083,465,732,151,223,620,686,557,473,680,830,401,280,030,793,568,531,
242,048,740,630,414,930,075,352,468,374,765,213,734,373,781,485,751,323,176,
673,677,069,483,214,416,511,008,787,030,103,862,824,509,173,631,721,242,124,
572,057,839,991,308,068,516,493,450,835,525,893,333,392,345,795,245,415,600,
807,677,723,893,466,427,124,538,989,961,539,158,465,924,028,093,025,181,921,
670,453,771,264,451,843,104,176,598,551,400,597,220,283,032,315,801,717,913,
008,257,714,675,860,836,400,952,189,690,923,953,949,855,206,357,382,483,603,
377,869,693,277,185,014,706,985,314,331,837,286,892,201,748,419,403,875,823,
535,073,839,405,389,256,355,511,550,199,381,063,610,453,953,332,763,810,440,
480,954,118,419,106,878,261,339,026,019,872,532,465,687,163,354,135,833,100,
769,698,680,572,372,530,703,118,104,380,295,264,153,481,080,326,365,709,524,
269,510,789,489,144,219,303,023,551,357,537,717,441,817,819,295,936,399,981,
750,369,439,802,256,289,529,941,383,218,046,733,907,393,381,573,522,189,023,
115,950,497,583,170,973,162,278,982,670,227,916,919,023,523,662,687,857,228,
038,237,295,344,512,380,057,272,135,851,038,183,097,317,326,355,003,868,267,
522,312,274,898,333,632,846,391,918,553,843,446,025,787,606,917,034,060,102,
689,581,424,044,533,101,303,117,900,996,390,130,884,416,172,781,355,394,989,
418,162,199,746,941,790,323,506,734,714,154,553,216,670,229,346,053,106,181,
114,695,876,297,718,133,561,112,435,650,973,337,909,152,647,083,899,175,928,
297,849,644,214,245,753,206,098,248,382,270,467,391,348,356,589,479,855,386,
778,512,794,139,747,851,521,008,235,978,552,642,171,991,347,448,707,242,741,
579,047,881,416,385,468,829,408,199,846,945,428,925,014,542,899,550,604,019,
139,752,652,568,266,692,342,895,093,192,941,062,657,420,633,165,196,874,557,
034,960,835,150,381,037,688,662,503,491,344,896,128,250,893,114,151,130,840,
376,398,360,583,318,657,310,009,203,045,115,824,591,635,327,272,628,797,018,
918,140,278,414,326,752,242,828,722,586,701,975,948,882,784,716,611,824,819,
233,169,521,951,826,264,381,295,511,863,128,572,259,612,310,327,660,502,921,
594,913,016,402,238,506,695,304,698,721,542,933,381,719,701,671,956,690,080,
386,084,315,143,183,102,478,291,271,505,472,720,280,109,095,444,896,903,307,
939,743,783,196,673,843,922,646,079,454,593,252,936,020,464,569,865,862,655,
896,042,634,204,613,050,736,758,578,095,924,753,783,671,458,924,679,045,743,
158,479,402,984,817,187,130,917,665,341,804,647,643,075,616,547,613,232,788,
858,074,325,537,057,345,272,828,183,523,538,192,723,374,633,119,828,064,832,
091,135,009,652,022,750,635,488,700,760,402,697,522,775,895,420,259,836,227,
154,220,234,070,746,608,901,533,787,351,488,422,465,169,657,202,371,372,425,
485,011,625,174,267,164,535,830,001,275,667,100,981,133,429,456,181,269,960,
761,215,111,090,197,860,924,549,070,685,847,491,884,759,576,101,850,932,115,
749,098,955,117,436,023,585,992,633,688,200,827,874,004,981,000,894,612,308,
836,754,414,513,309,863,285,069,882,553,147,133,436,686,840,993,932,261,755,
516,970,734,302,361,192,148,991,954,932,290,356,791,576,513,961,451,563,815,
418,624,564,500,180,483,941,324,500,718,985,752,372,605,252,052,450,779,481,
490,081,014,092,674,668,319,910,497,436,490,183,737,547,042,412,190,213,404,
554,269,234,186,079,423,328,396,116,347,212,568,138,864,966,274,999,571,092,
814,193,866,833,761,106,353,431,108,445,839,156,366,085,053,801,140,434,831,
071,623,339,267,743,354,180,344,997,754,168,562,647,415,112,139,737,790,368,
358,826,899,994,288,333,031,753,550,938,058,606,701,629,642,350,419,731,612,
934,878,064,319,135,330,885,211,720,331,452,717,083,499,605,046,241,150,882,
511,525,095,137,348,704,947,798,097,850,394,014,251,617,771,734,403,724,770,
358,979,625,118,619,682,012,328,752,815,956,674,568,751,226,651,631,482,322,
536,269,449,371,900,126,057,214,402,008,207,096,552,190,604,595,063,537,745,
709,105,514,863,324,086,160,375,667,574,112,141,744,481,984,716,529,249,638,
847,442,744,795,045,871,719,698,628,679,302,276,235,386,584,179,427,508,389,
938,416,360,461,796,960,004,998,461,392,235,443,508,418,091,938,720,202,199,
155,038,184,863,991,681,292,077,446,732,930,882,127,923,037,919,165,630,919,
106,923,879,854,878,084,483,447,611,412,390,272,778,951,369,078,701,290,543,
288,047,910,762,491,444,363,101,999,951,084,997,892,671,278,405,642,102,558,
352,791,231,368,025,774,930,592,139,069,663,907,815,826,015,213,304,220,744,
169,282,414,520,879,898,240,734,975,951,909,513,370,929,173,497,228,791,155,
201,538,305,416,069,924,173,000,311,479,229,096,994,167,758,573,700,587,241,
906,072,090,333,073,201,948,183,398,345,065,736,306,277,103,631,265,263,981,
412,434,955,195,462,051,181,504,755,589,553,063,022,951,446,696,884,949,700,
106,298,065,422,072,831,624,773,600,756,891,799,319,378,871,025,981,886,219,
268,368,564,626,773,157,982,014,577,876,505,357,547,308,881,354,786,391,160,
412,836,626,247,622,344,484,244,724,314,034,526,593,075,091,011,650,983,630,
971,164,358,060,787,325,169,862,857,783,191,085,079,060,032,091,696,450,266,
283,644,865,148,009,793,733,741,136,160,171,427,291,550,930,343,633,120,953,
707,109,520,851,607,443,167,679,608,439,236,823,866,527,616,932,025,517,518,
649,810,083,680,162,352,547,515,561,274,333,702,812,326,883,985,053,197,170,
653,997,977,755,297,689,940,427,681,851,370,060,177,184,508,297,916,261,715,
504,975,937,120,501,676,977,424,378,746,113,588,595,821,982,319,412,365,925,
063,146,475,128,953,554,940,156,908,137,406,883,254,960,835,097,354,971,662,
063,091,694,512,536,128,017,938,655,272,600,810,493,843,527,696,634,310,367,
311,808,143,548,686,520,807,626,332,998,413,477,002,363,605,312,009,482,034,
374,467,224,374,308,898,061,985,246,047,673,301,931,778,445,677,101,023,881,
961,522,533,662,322,575,783,273,411,273,939,956,249,776,805,258,750,334,332,
685,845,791,993,894,016,994,691,628,720,979,721,485,203,126,657,989,110,358,
603,669,091,322,972,656,719,966,419,090,774,435,544,202,001,052,226,176,634,
320,512,051,384,767,176,209,486,447,164,894,520,639,268,572,935,622,180,879,
671,958,853,744,329,247,182,362,436,247,945,208,022,275,874,256,015,342,838,
449,454,728,615,785,230,966,806,099,172,512,104,609,714,530,321,132,055,624,
770,379,879,357,022,397,387,330,974,605,049,677,075,431,368,001,779,988,253,
126,349,070,755,701,390,676,110,637,757,146,431,094,663,096,234,931,790,359,
928,554,248,356,383,894,413,849,966,818,933,229,912,021,804,822,529,840,199,
117,267,998,489,127,150,803,446,142,182,300,031,316,696,385,619,930,160,108,
919,552,006,238,706,934,107,645,135,748,645,540,838,276,075,522,125,092,645,
597,755,038,803,563,172,256,107,433,743,924,655,152,630,826,796,835,909,817,
384,543,206,520,055,077,961,709,335,904,632,957,201,878,093,472,817,899,176,
059,689,190,752,910,188,430,840,157,669,928,111,389,980,510,613,906,718,296,
598,629,099,181,983,825,205,914,326,892,985,732,247,458,991,157,092,872,814,
499,163,318,580,110,036,767,521,564,278,900,307,513,287,406,605,412,647,217,
639,615,337,579,216,846,628,288,905,975,412,925,379,445,547,134,796,419,387,
537,105,656,205,359,149,554,861,714,572,625,741,514,208,497,805,434,776,251,
256,744,979,526,708,083,052,327,532,732,346,313,319,267,003,308,428,873,839,
510,339,061,847,212,943,887,718,936,467,130,733,906,436,115,591,597,862,531,
465,024,959,468,078,757,378,776,394,414,766,317,686,470,142,239,245,610,289,
570,839,809,779,736,515,752,996,650,771,339,861,762,168,550,304,208,918,563,
897,564,276,381,586,744,271,294,976,085,595,064,554,644,836,950,685,426,984,
042,467,221,944,834,619,830,716,925,383,385,760,148,434,004,277,774,363,276,
923,934,457,019,446,119,658,294,513,967,954,575,481,607,821,320,785,776,982,
062,998,522,433,201,239,942,004,847,417,621,022,047,660,514,476,568,174,041,
132,290,984,376,814,961,994,493,242,074,594,385,264,313,217,477,713,309,161,
464,934,864,736,003,142,903,350,306,306,618,645,178,870,653,766,556,020,297,
156,471,801,594,655,630,728,656,244,886,886,266,153,491,765,920,049,201,121,
796,896,659,819,442,991,102,171,309,268,389,081,113,411,476,696,877,436,516,
993,648,598,155,622,785,423,077,271,962,984,758,197,832,372,551,089,424,857,
971,893,244,442,782,249,871,768,209,070,350,974,552,350,931,475,925,293,562,
102,826,293,837,007,278,895,259,052,985,719,155,047,656,233,054,095,393,900,
401,157,573,159,331,642,330,616,214,277,311,712,388,227,355,110,107,297,504,
230,526,563,358,763,097,307,580,773,231,078,216,042,409,113,626,275,160,431,
399,312,383,525,366,239,954,239,126,369,753,548,792,569,524,053,174,839,620,
541,152,448,758,800,750,521,307,318,670,584,344,919,705,477,360,485,709,224,
853,556,420,146,240,085,499,433,587,254,742,367,370,144,699,089,992,258,694,
560,004,999,219,254,324,611,437,618,145,980,807,471,320,685,227,259,260,031,
354,519,615,338,914,253,493,000,331,059,817,395,081,810,432,615,815,740,502,
327,904,601,655,779,787,653,976,431,474,767,628,271,577,495,348,498,640,276,
475,018,319,582,965,297,451,550,581,716,727,074,207,299,596,137,645,420,937,
907,600,481,941,531,484,383,047,105,761,894,232,365,885,701,361,278,361,828,
394,702,642,362,736,946,095,110,487,457,739,291,527,499,128,401,281,360,334,
216,778,971,929,845,740,993,410,335,096,251,115,888,745,761,780,630,286,537,
898,103,669,405,596,549,851,059,084,143,676,700,112,007,319,991,923,927,560,
005,475,411,472,098,449,976,623,735,595,118,317,495,050,832,356,776,147,060,
840,991,124,809,504,688,947,415,396,250,173,642,040,765,999,531,166,720,628,
669,566,687,238,599,021,056,317,402,056,901,859,898,273,645,052,089,565,246,
026,220,351,004,557,821,494,320,982,394,205,107,829,379,119,442,012,825,078,
806,237,544,317,539,579,936,033,116,194,519,847,570,201,648,445,392,972,103,
836,348,367,300,710,260,244,868,001,573,076,543,108,487,553,478,268,587,747,
057,621,198,645,662,578,359,466,411,683,003,421,691,959,056,509,217,222,649,
689,165,681,729,858,957,015,793,710,516,836,582,863,897,772,507,456,090,544,
723,406,617,759,781,833,048,594,015,097,777,039,915,814,178,332,247,632,952,
785,708,220,923,439,352,723,617,507,265,813,162,051,286,911,064,167,908,831,
598,242,689,106,955,804,939,324,901,872,230,662,191,339,307,072,970,562,932,
624,227,194,940,178,903,333,134,177,647,952,674,731,505,488,500,734,079,661,
422,497,271,441,863,645,411,993,445,620,725,579,306,661,931,952,445,656,737,
564,123,450,134,974,175,038,466,481,222,587,351,515,193,816,663,475,410,322,
397,095,841,625,384,541,645,004,716,058,796,911,733,659,781,579,321,336,124,
809,643,422,999,567,599,424,474,954,223,214,265,109,001,714,754,832,959,794,
328,661,796,021,478,570,311,636,593,894,005,288,638,278,379,982,466,108,328,
272,753,565,053,029,104,426,707,867,935,752,811,404,385,636,853,196,282,197,
333,503,885,823,121,857,947,140,698,739,658,460,782,965,834,549,025,774,207,
141,155,847,022,496,940,524,123,548,108,414,761,588,885,686,329,586,153,542,
774,004,289,366,497,962,821,447,470,886,264,622,342,218,593,548,745,710,245,
347,371,075,473,991,757,288,058,248,740,675,606,266,331,027,502,873,089,295,
784,670,274,371,298,735,376,596,704,985,921,756,218,031,406,011,356,790,834,
183,769,603,580,331,598,152,230,739,169,002,892,581,795,976,553,728,575,572,
261,680,465,875,516,402,721,673,327,385,245,522,400,027,747,481,242,057,647,
987,150,839,749,651,354,999,784,078,917,712,193,720,801,018,136,756,222,808,
377,794,271,428,866,571,398,607,435,592,690,162,916,706,950,047,357,832,392,
387,119,544,708,091,193,116,657,248,914,408,080,898,204,629,344,111,351,020,
054,922,393,713,983,859,870,680,648,793,195,462,277,914,049,608,581,576,924,
245,111,765,744,196,674,703,682,921,504,881,347,279,521,083,965,401,427,046,
225,557,720,480,776,970,467,294,258,160,995,193,940,912,159,375,072,939,091,
333,560,899,579,897,120,149,867,954,017,585,682,946,637,521,853,796,518,988,
625,246,463,814,171,678,594,175,898,750,502,286,760,506,823,353,473,612,259,
034,814,216,128,659,889,758,844,350,261,309,909,162,038,879,013,919,171,368,
352,862,939,488,484,597,538,021,291,245,491,196,826,482,307,657,600,887,399,
373,375,131,214,394,266,804,774,132,769,316,327,939,825,411,920,273,130,414,
868,074,214,487,358,670,135,278,170,428,650,262,744,920,553,590,734,808,501,
677,021,243,494,633,085,734,111,300,345,488,950,860,282,935,194,006,511,627,
735,555,619,072,623,961,621,020,111,672,982,634,304,212,598,917,846,502,673,
136,729,252,387,447,337,067,272,888,472,574,577,686,581,426,279,907,585,396,
455,664,130,354,823,320,287,076,345,661,327,209,518,373,607,543,607,386,874,
095,041,771,659,288,130,074,476,058,362,917,304,599,976,689,271,265,284,197,
413,004,777,260,910,178,830,859,084,999,834,575,390,878,037,517,832,003,590,
474,085,435,696,499,089,681,114,941,820,651,619,818,432,387,866,820,730,949,
769,721,963,556,014,937,888,998,595,534,804,320,026,623,717,874,440,007,179,
926,789,011,185,676,695,917,368,340,545,498,292,020,385,972,421,900,210,094,
330,729,369,100,536,164,008,554,141,122,573,765,191,432,986,683,275,343,596,
352,776,438,605,696,658,812,114,727,067,370,831,642,265,784,119,766,610,989,
211,104,728,231,942,140,468,979,749,241,558,583,897,848,781,769,633,530,943,
970,843,849,152,727,043,150,588,982,642,983,959,759,231,530,076,680,438,788,
486,149,638,263,900,172,887,498,507,912,800,137,418,768,236,063,417,325,597,
973,783,906,959,817,904,614,658,509,093,036,757,619,823,425,544,945,971,645,
666,691,238,596,792,746,762,064,709,706,717,368,011,160,301,249,894,620,011,
998,058,483,730,977,037,790,211,044,514,563,495,705,118,744,300,383,990,904,
566,802,268,510,582,253,261,885,786,575,147,194,942,172,895,750,460,390,370,
635,340,769,923,329,213,476,709,331,588,016,699,850,763,294,771,744,423,693,
311,408,380,826,659,448,934,696,331,247,860,511,897,410,901,411,660,752,024,
400,701,253,622,242,974,183,142,346,113,270,367,138,801,367,175,398,545,767,
827,087,337,296,180,879,777,343,524,627,819,296,724,224,007,448,782,194,019,
926,243,461,043,324,318,724,635,072,705,127,249,599,234,277,017,637,623,713,
436,748,928,119,251,792,017,546,908,840,952,845,100,133,312,414,504,063,981,
686,244,993,718,318,195,339,386,662,582,774,107,929,895,971,879,413,644,338,
815,024,114,941,349,524,360,003,171,124,753,090,165,519,414,190,665,169,882,
880,474,265,357,010,364,759,931,613,272,074,144,857,929,093,370,224,691,945,
531,798,494,486,429,142,969,579,449,463,011,053,712,821,442,507,569,686,907,
516,926,499,053,817,370,332,295,524,475,266,851,878,072,856,653,942,479,823,
978,900,930,400,849,205,636,536,696,385,253,625,582,711,410,295,044,276,239,
735,167,092,716,415,665,464,587,462,822,504,118,828,596,335,532,730,815,129,
113,150,349,196,533,102,915,448,367,800,550,767,724,193,144,318,058,830,130,
073,167,600,795,996,882,679,682,651,473,430,630,716,875,277,839,951,696,089,
069,864,173,623,316,532,955,574,555,192,521,093,629,046,624,580,552,743,735,
905,764,247,262,799,454,045,097,944,551,749,489,889,824,341,008,673,452,399,
608,122,779,115,124,546,724,397,356,315,888,134,844,025,449,830,049,314,738,
790,858,457,002,746,048,329,806,683,621,024,363,375,287,917,095,720,260,012,
528,347,156,907,433,020,910,120,310,278,226,855,824,073,334,870,904,196,275,
127,130,826,971,406,882,834,806,758,019,297,847,761,896,541,720,486,686,899,
620,636,136,211,358,137,891,647,614,940,561,800,385,177,692,445,775,334,124,
659,461,613,846,567,675,339,229,518,241,383,253,242,017,964,070,425,445,232,
704,375,642,406,470,490,771,200,075,108,204,087,045,351,251,606,803,981,474,
795,224,531,499,872,852,309,314,084,910,283,011,766,453,716,635,707,974,566,
561,459,257,812,802,192,980,295,578,183,084,007,905,001,235,519,167,764,578,
741,696,267,669,544,661,613,020,887,046,017,506,477,247,987,125,651,512,295,
703,299,336,361,345,641,936,352,147,635,007,710,460,665,377,750,490,837,920,
357,315,561,604,298,538,052,923,190,511,788,573,464,712,831,534,127,793,794,
862,357,943,127,814,990,177,030,123,515,383,286,875,366,906,644,256,109,960,
184,235,062,437,134,792,326,151,537,679,212,065,784,182,222,433,782,837,081,
128,822,455,123,772,656,944,159,354,092,753,972,708,129,866,344,648,656,463,
595,022,476,375,362,619,136,884,094,002,020,717,531,511,971,008,111,199,740,
965,150,778,189,511,229,774,455,966,193,821,454,175,327,104,544,137,969,038,
164,567,178,215,167,519,683,993,694,735,533,874,844,916,258,703,292,385,407,
835,356,051,027,742,160,684,602,604,812,759,861,902,800,688,586,933,517,046,
792,787,061,694,604,500,394,017,851,334,022,208,516,520,533,657,495,660,737,
133,497,592,237,116,951,738,563,101,604,878,476,068,942,983,575,989,546,277,
304,696,163,116,327,394,185,642,905,810,214,220,741,499,033,579,715,714,031,
113,028,407,559,627,920,420,778,295,712,831,368,275,979,762,983,774,075,796,
020,079,464,778,173,331,125,601,048,129,559,914,234,137,773,294,795,765,980,
885,369,307,769,705,409,047,899,367,002,618,392,999,772,699,585,379,438,694,
053,860,208,170,995,728,487,402,063,530,103,650,114,222,652,012,286,171,583,
473,540,474,044,572,379,495,168,491,603,739,057,329,595,080,494,363,109,307,
394,090,956,617,274,867,375,806,018,768,364,951,645,653,502,971,668,314,676,
466,744,099,069,499,984,774,633,463,609,487,242,013,043,753,400,382,821,509,
511,584,943,773,533,933,537,265,532,988,342,607,551,998,423,332,971,054,367,
920,413,734,102,986,883,216,957,132,810,123,133,392,004,960,502,993,560,659,
486,112,154,091,376,576,647,618,340,909,251,571,413,620,313,042,591,988,706,
770,803,332,740,378,045,268,101,845,720,223,979,958,933,338,109,827,016,231,
279,672,365,115,689,506,980,401,710,544,729,573,945,332,710,760,662,292,784,
159,776,085,665,156,171,642,182,285,167,331,841,984,384,045,694,896,193,711,
702,416,530,381,705,633,902,901,354,876,678,957,323,223,478,552,285,379,186,
011,008,349,676,441,803,493,208,833,576,297,915,967,445,633,966,571,932,249,
391,817,822,696,373,510,382,928,191,397,424,423,477,143,774,767,506,891,317,
120,067,473,707,022,800,994,349,797,251,876,176,034,602,747,479,470,450,062,
062,884,695,542,760,667,900,043,016,806,758,628,857,777,649,947,568,266,447,
593,023,297,009,813,428,696,696,264,158,468,574,274,040,472,442,964,771,011,
079,607,451,091,887,694,231,951,347,843,599,354,162,180,828,288,826,007,838,
349,100,466,120,793,948,184,986,282,032,454,206,617,835,973,359,290,741,682,
271,347,673,679,101,403,899,778,351,206,917,995,275,189,698,061,772,638,812,
575,528,779,904,875,922,379,173,445,735,838,774,894,497,005,770,411,202,305,
977,377,838,804,699,738,131,726,280,460,420,158,444,999,246,468,690,290,799,
990,227,499,717,505,156,777,447,416,139,691,589,980,327,930,841,325,447,456,
942,594,650,648,794,656,071,666,155,308,774,551,863,779,843,365,751,987,669,
583,506,936,689,056,337,471,550,940,238,364,058,354,687,804,876,223,075,037,
196,012,106,202,648,705,273,021,077,860,444,838,585,305,482,631,623,929,708,
110,704,010,453,417,025,553,442,044,894,414,322,857,918,137,903,513,155,139,
611,759,629,839,387,080,399,961,666,748,803,377,204,930,217,372,727,959,951,
184,216,195,264,395,752,534,764,509,738,597,170,016,486,656,278,231,677,038,
045,109,432,295,515,932,439,418,712,470,874,947,537,569,744,452,853,811,505,
148,072,441,901,686,783,035,626,477,880,867,534,069,091,927,370,445,306,811,
222,688,193,969,880,577,387,208,563,241,267,649,217,600,467,120,903,913,583,
003,478,958,636,179,648,776,989,112,503,946,853,821,850,685,399,162,742,877,
600,431,731,335,195,385,177,246,235,086,057,525,409,822,478,139,958,874,280,
367,785,783,534,085,975,362,243,256,872,308,284,617,393,724,567,302,353,600,
913,009,006,604,903,630,060,894,251,936,815,414,075,140,002,572,645,726,807,
589,172,887,682,146,264,616,129,327,437,744,672,720,569,850,959,455,021,510,
174,013,681,811,588,466,644,563,785,223,851,673,572,828,276,326,366,920,286,
180,030,389,949,348,533,663,844,511,566,287,718,650,966,341,629,972,504,097,
774,328,318,068,920,669,954,094,555,334,468,516,987,518,891,576,824,547,031,
440,319,670,310,431,109,095,894,493,089,601,143,524,922,257,452,014,785,234,
060,238,167,187,054,892,526,368,425,134,076,255,847,305,262,707,663,530,669,
934,293,176,273,852,842,916,520,715,776,762,133,322,294,190,067,305,556,757,
552,642,037,993,483,411,022,159,820,374,092,757,043,123,481,662,232,386,512,
509,644,959,166,942,255,344,400,766,660,439,529,446,065,432,771,369,022,456,
545,663,773,435,634,386,756,978,554,760,266,824,212,290,193,714,008,281,275,
934,025,602,348,942,608,160,378,697,122,656,889,054,419,905,674,399,700,801,
528,598,260,394,290,220,508,401,165,942,877,565,961,236,364,240,146,815,825,
834,995,887,958,635,396,981,625,344,859,624,974,165,731,072,037,337,595,153,
654,017,410,371,562,918,658,379,073,603,329,892,492,304,513,479,913,655,051,
858,503,656,862,029,069,721,350,992,820,125,900,253,497,820,365,982,693,504,
591,447,075,236,952,617,197,053,409,092,877,033,267,563,352,918,794,807,123,
118,622,908,000,779,183,999,683,300,386,407,979,847,233,390,551,449,213,435,
095,614,485,481,657,855,859,869,454,198,322,786,320,897,438,690,531,796,055,
535,089,821,136,481,327,368,217,093,077,600,853,084,780,446,508,714,575,433,
644,723,759,507,118,023,964,515,276,382,155,328,331,952,823,369,221,546,667,
239,069,860,563,320,089,310,563,425,095,685,320,312,785,776,053,653,249,448,
875,840,791,409,231,096,164,126,283,620,015,383,766,718,836,027,636,317,555,
665,168,548,865,570,859,147,384,500,528,702,180,592,384,759,529,674,330,690,
585,834,074,971,541,258,558,321,979,466,224,961,980,308,518,181,166,832,676,
575,962,699,135,411,576,845,595,586,924,865,707,762,896,837,069,589,585,523,
186,228,655,922,946,257,209,280,816,383,929,934,449,414,192,840,384,018,304,
359,029,091,359,463,537,717,358,296,511,090,270,549,211,298,063,701,523,837,
296,397,476,253,677,266,658,327,357,370,885,901,296,801,267,078,402,398,404,
674,130,517,543,443,569,254,617,823,068,920,623,299,578,337,231,322,306,554,
254,194,931,266,233,661,034,922,609,414,569,799,955,128,627,594,152,506,338,
966,046,784,812,281,652,805,035,774,842,198,758,273,538,932,528,334,067,024,
621,076,106,186,933,001,851,319,072,155,171,334,618,748,200,209,984,985,897,
969,099,644,798,869,718,826,179,144,588,826,641,331,929,413,016,828,183,357,
890,579,793,799,164,268,794,411,440,227,771,037,440,387,207,740,033,179,678,
398,805,181,346,623,383,840,284,662,224,243,854,387,950,753,893,241,956,050,
727,978,128,517,035,950,803,469,102,057,696,475,319,873,515,187,676,147,042,
207,010,019,843,340,588,333,403,608,436,003,452,751,384,103,556,111,746,655,
494,248,306,075,050,457,671,710,358,616,068,790,255,648,477,574,282,696,052,
510,245,480,050,820,961,197,255,422,237,586,096,508,096,039,575,003,234,178,
927,228,886,986,655,080,090,084,888,128,853,120,130,631,398,979,962,000,237,
721,389,937,190,173,369,110,538,607,518,522,730,980,345,665,986,646,970,361,
432,486,074,573,556,995,976,706,965,673,236,588,997,869,135,667,561,291,183,
340,822,421,346,264,920,024,534,392,245,616,169,263,994,421,869,826,920,085,
872,352,366,886,115,606,240,893,627,954,126,030,169,308,691,140,012,015,947,
757,629,870,736,596,765,654,453,042,211,066,625,467,621,846,081,756,163,378,
320,479,475,026,200,660,742,842,123,585,182,763,817,065,322,784,801,799,006,
441,978,659,877,858,159,685,643,369,726,144,910,224,778,038,589,376,855,257,
336,057,774,543,750,462,980,627,669,492,712,000,331,893,602,703,717,665,649,
847,907,998,605,026,753,130,846,936,506,794,568,293,890,371,951,987,330,777,
929,215,103,213,995,342,972,759,986,384,947,678,682,983,002,074,238,181,988,
820,966,495,382,030,785,270,786,971,993,417,866,074,580,328,767,178,995,428,
634,764,859,630,080,335,423,438,738,736,469,580,820,616,125,344,551,002,897,
847,384,911,297,540,441,365,841,789,997,931,230,327,541,063,626,829,000,702,
203,688,682,034,484,077,010,155,597,595,796,880,325,619,249,078,865,998,797,
268,874,070,663,855,857,357,396,032,330,489,910,228,596,822,496,687,810,948,
118,941,366,257,586,136,350,439,148,391,364,801,081,626,191,742,519,073,847,
802,149,251,912,869,331,196,318,451,427,667,239,047,608,718,302,285,038,675,
313,845,654,042,491,143,651,451,208,179,175,192,269,206,995,688,158,356,006,
487,548,892,809,401,965,428,169,840,888,475,400,881,612,134,912,462,294,757,
018,455,686,648,971,390,968,689,343,413,773,527,733,055,869,029,216,009,856,
826,200,669,661,854,677,219,291,701,690,426,115,082,637,333,446,293,143,108,
073,035,407,323,708,227,418,510,645,019,232,462,348,206,853,059,265,793,861,
973,219,068,406,696,348,076,488,350,815,852,446,063,062,394,127,947,679,451,
281,502,457,835,351,006,074,967,657,730,149,326,472,654,692,399,513,328,078,
720,894,353,314,399,994,763,629,212,398,472,126,317,762,143,817,289,062,779,
545,375,621,496,857,235,354,930,721,175,986,285,788,775,415,595,400,408,136,
588,039,737,597,234,309,927,169,755,309,517,020,271,026,540,401,292,900,086,
791,418,271,719,802,298,323,677,505,301,308,954,837,918,767,790,630,264,879,
333,270,076,353,801,233,589,353,892,348,641,533,846,666,850,447,161,406,962,
512,328,996,025,281,551,675,806,308,592,895,453,356,909,714,724,084,253,258,
277,177,658,485,931,850,527,806,155,619,581,780,957,366,734,171,885,995,936,
587,824,287,911,251,837,619,192,760,176,269,037,859,740,559,820,369,282,788,
314,620,453,819,259,432,904,434,479,973,026,651,606,718,404,833,498,595,926,
635,754,952,577,739,206,746,780,324,727,223,780,134,584,763,363,855,104,687,
443,004,997,136,596,180,160,941,827,862,263,897,747,449,352,873,054,394,955,
570,224,697,892,993,651,318,554,807,723,803,740,012,242,616,367,725,027,175,
687,837,466,846,363,549,227,478,921,636,219,525,286,195,381,683,340,400,082,
715,161,618,726,877,766,822,914,271,329,443,957,962,269,897,868,822,659,629,
659,383,331,596,360,805,339,257,002,685,598,410,496,665,161,102,981,728,016,
627,228,711,294,548,349,131,428,679,554,842,798,187,770,711,553,686,120,319,
822,629,924,434,092,427,099,150,334,837,548,887,758,008,686,496,432,859,981,
382,141,381,835,567,830,608,388,293,232,612,165,807,839,749,973,045,791,197,
520,669,675,910,647,493,347,624,986,622,944,211,572,903,091,036,256,959,736,
372,314,402,711,471,229,034,626,787,605,946,825,508,783,566,964,934,410,832,
580,444,929,108,015,456,507,240,794,742,631,445,627,926,231,349,713,310,423,
035,986,665,820,923,475,097,813,364,768,702,867,972,054,461,924,021,753,358,
465,101,248,087,177,495,617,184,978,370,721,242,772,586,338,616,739,216,913,
502,688,488,196,684,571,800,133,609,011,542,997,433,392,183,878,969,063,137,
784,032,400,997,164,419,029,658,791,096,368,397,364,668,394,149,451,436,415,
925,422,318,926,805,342,167,397,810,987,033,103,356,607,993,180,804,088,972,
150,759,332,760,203,902,805,828,116,421,699,012,521,925,735,496,964,789,426,
940,903,864,365,653,940,334,662,692,422,914,224,912,520,271,982,657,816,385,
578,577,004,954,176,860,333,013,952,195,990,930,653,151,315,357,853,954,692,
310,887,879,894,063,850,223,807,595,575,772,203,332,794,208,198,519,720,686,
667,971,643,958,118,328,469,386,748,349,868,686,058,475,270,355,461,808,041,
433,228,646,235,541,505,265,902,961,542,265,887,164,242,401,868,985,264,851,
352,953,932,584,143,252,313,765,690,116,083,444,392,584,935,120,756,264,376,
209,679,763,664,810,036,007,347,272,511,067,226,428,096,556,929,466,572,463,
557,731,388,511,501,545,897,414,242,313,627,505,858,505,607,221,988,715,724,
699,748,618,753,782,831,579,602,544,174,524,140,850,592,607,110,938,855,987,
078,619,103,502,847,131,045,245,882,113,192,072,420,374,013,923,347,736,040,
576,153,920,864,750,323,826,486,719,878,822,516,066,211,268,837,355,678,268,
349,379,649,290,210,303,687,412,318,459,403,104,975,918,918,850,163,874,789,
571,024,488,036,837,650,397,826,828,001,401,234,764,299,170,065,946,201,756,
305,679,850,532,955,097,236,379,341,724,264,095,551,531,073,431,528,687,413,
982,045,529,503,359,951,272,942,661,366,886,581,177,533,945,892,241,076,163,
292,212,338,387,256,209,539,874,688,458,939,808,930,846,438,274,757,722,361,
470,189,583,356,695,156,872,959,405,093,023,274,398,982,649,183,082,694,100,
005,116,132,368,941,390,794,383,651,125,998,157,097,641,950,914,994,614,846,
874,698,784,293,993,494,330,589,375,186,856,372,897,700,485,796,781,557,985,
021,275,482,987,008,248,204,972,109,343,874,696,812,489,137,640,608,996,927,
416,456,288,668,493,123,770,813,383,278,659,219,994,214,214,441,360,108,473,
607,393,662,844,556,800,788,941,496,852,330,140,570,656,739,218,545,271,419,
811,077,368,136,487,929,268,301,255,992,164,358,520,332,341,110,122,007,417,
478,621,408,080,885,519,103,809,510,492,180,898,377,391,743,257,756,990,218,
804,408,490,094,075,514,322,998,713,032,282,146,202,000,399,651,854,919,243,
638,470,547,342,716,866,205,459,795,109,116,389,409,216,713,159,937,471,194,
622,208,927,486,759,888,984,892,401,603,632,381,625,162,606,797,324,597,194,
532,844,041,851,763,453,560,103,965,950,560,179,797,077,368,236,129,825,214,
473,983,048,658,092,432,348,031,333,824,831,994,753,064,017,485,934,899,469,
612,282,462,512,942,599,391,838,031,376,013,337,936,141,546,445,372,723,049,
897,290,278,372,748,405,731,650,657,530,035,051,311,848,121,051,014,852,301,
930,269,756,171,652,881,659,272,486,305,939,828,210,439,121,510,989,615,124,
626,912,788,060,137,706,769,910,673,632,670,834,911,754,331,610,529,783,852,
136,671,238,415,915,292,767,430,162,956,646,194,532,889,182,879,405,165,020,
320,544,711,243,527,220,013,327,869,523,902,211,767,890,260,125,316,842,257,
950,414,798,569,637,305,819,439,336,325,019,138,612,122,900,674,702,812,209,
062,771,567,667,789,888,677,924,984,096,023,582,768,331,611,049,295,625,982,
383,933,330,117,021,625,762,318,057,980,698,994,721,246,653,193,407,915,532,
174,357,955,542,367,151,931,169,648,418,506,892,176,114,917,031,174,797,529,
508,575,981,252,267,809,637,902,363,257,575,980,304,668,674,123,010,681,993,
550,630,272,534,539,741,671,356,042,473,990,677,756,482,274,001,388,987,928,
402,401,390,964,071,571,633,697,889,375,059,162,174,613,828,439,238,071,887,
853,792,372,359,345,237,720,592,552,721,181,302,212,195,510,916,646,071,590,
653,049,508,520,972,884,795,384,015,708,972,487,258,526,506,732,681,501,798,
445,816,038,036,520,742,032,745,866,318,635,376,160,008,418,110,180,875,674,
363,809,398,674,287,841,784,441,472,620,887,647,209,600,080,381,625,130,088,
253,938,526,500,059,422,159,692,247,410,711,021,045,228,685,896,123,347,563,
778,630,488,334,486,191,706,951,829,013,005,437,817,009,636,787,646,484,844,
418,723,291,402,937,212,681,054,242,523,180,123,942,845,832,067,580,504,832,
309,124,652,697,258,473,015,364,288,095,867,636,765,895,486,393,331,688,575,
198,400,278,238,505,481,155,566,093,333,414,222,636,541,059,182,905,077,584,
451,218,863,525,195,262,610,954,199,838,876,654,768,800,565,643,441,704,126,
779,272,884,787,689,297,115,015,825,532,315,712,797,607,000,767,103,725,869,
648,564,170,444,030,075,418,361,357,090,854,770,439,789,266,819,815,339,587,
091,648,940,868,373,773,560,942,154,970,951,774,279,858,449,233,544,607,661,
585,713,704,663,824,420,345,615,859,385,676,092,104,522,080,253,337,496,713,
852,002,010,466,193,122,114,484,725,014,967,878,335,160,641,984,526,690,968,
117,793,824,909,932,793,871,845,508,255,745,915,175,827,379,293,272,733,212,
924,003,265,113,863,103,410,276,780,325,437,234,073,404,148,341,518,268,309,
397,130,257,538,934,010,719,057,437,882,798,415,275,284,193,397,089,982,327,
655,600,980,572,416,454,825,367,232,750,733,184,863,521,065,694,847,521,419,
831,378,682,251,709,599,745,186,619,979,298,619,781,102,906,092,713,436,277,
404,992,598,120,605,867,921,019,119,138,799,653,895,069,079,268,136,896,000,
590,940,084,166,213,101,032,542,234,609,456,658,948,075,071,062,917,090,191,
941,607,632,036,148,819,652,335,297,124,456,318,259,028,994,593,874,560,348,
490,923,924,156,433,873,039,934,491,053,071,690,916,355,525,133,984,709,064,
708,324,851,525,534,427,590,731,063,274,304,079,413,479,573,304,160,654,788,
352,973,248,385,959,510,387,706,522,139,856,209,579,254,681,641,927,900,030,
990,093,781,825,653,314,044,635,664,109,826,686,765,803,286,144,624,193,371,
670,322,238,379,150,577,282,298,245,596,608,461,425,646,167,432,496,321,144,
014,729,777,843,315,905,440,223,512,591,689,711,238,495,393,465,465,885,471,
770,327,715,946,579,212,924,912,807,179,880,628,283,724,071,563,542,524,172,
314,331,786,470,922,089,497,320,178,967,358,675,153,272,978,747,902,219,127,
747,506,713,549,377,338,180,540,949,598,374,549,419,869,479,677,022,047,222,
693,643,851,526,568,401,552,376,436,716,012,626,849,494,289,959,640,213,231,
167,845,715,963,656,907,519,472,670,421,223,542,951,644,521,235,985,630,299,
995,494,777,098,350,733,308,359,781,013,318,206,742,820,952,633,736,138,576,
333,994,058,061,013,379,946,808,216,885,981,598,008,392,397,646,151,170,665,
247,793,864,822,315,676,864,840,355,813,238,163,620,198,754,856,980,854,641,
328,527,652,297,378,025,809,866,181,463,950,160,202,310,674,634,756,518,202,
132,077,282,384,039,122,301,942,585,999,344,444,815,732,213,130,225,685,811,
288,758,605,818,192,452,749,360,894,657,024,162,216,259,866,936,978,240,577,
139,846,923,603,911,504,997,367,717,151,164,223,019,722,186,891,952,452,431,
182,727,457,763,014,236,787,284,916,015,983,949,857,820,891,321,454,950,904,
054,567,208,808,446,239,768,956,488,000,656,702,366,987,180,437,188,762,326,
983,781,188,763,334,743,826,619,150,900,508,471,618,873,663,850,160,248,416,
811,222,051,024,894,271,216,142,450,098,757,564,771,510,154,960,820,799,097,
056,425,023,070,819,236,232,399,381,872,600,596,985,154,546,859,047,630,113,
262,763,655,076,916,343,058,517,357,110,101,163,216,095,204,192,943,015,697,
663,140,240,589,601,310,722,549,106,696,071,237,177,007,170,150,556,144,832,
887,387,028,278,724,936,131,488,873,723,876,989,425,272,560,217,334,365,694,
902,937,024,941,579,562,045,244,428,068,728,403,617,298,538,472,647,981,237,
468,801,238,713,121,740,252,322,565,476,145,612,968,241,202,960,548,964,273,
375,565,131,907,539,513,043,540,051,216,146,763,251,212,376,232,274,837,717,
032,089,485,519,893,496,982,703,882,397,050,262,625,220,576,560,338,814,884,
112,555,443,789,881,655,013,619,290,011,638,347,082,312,624,699,581,909,978,
213,018,107,362,151,627,926,233,571,223,176,996,945,240,816,961,174,067,556,
775,680,667,992,573,781,550,842,081,389,475,077,287,294,851,001,176,212,501,
887,224,402,529,649,779,091,824,443,734,900,941,729,785,883,267,527,908,776,
872,426,908,119,553,657,810,025,149,826,364,582,806,037,833,295,322,073,604,
656,532,849,958,913,516,732,211,533,055,483,287,351,876,867,392,120,729,958,
252,408,896,824,913,513,600,692,431,662,257,933,872,579,358,446,134,138,405,
076,124,666,559,081,399,813,662,913,729,185,494,712,639,397,824,625,848,692,
497,388,033,641,396,683,567,062,076,113,116,482,439,891,677,784,588,159,653,
535,450,817,787,079,287,934,938,882,584,571,006,717,728,314,711,224,427,709,
130,973,920,891,191,732,010,716,720,024,654,413,997,448,404,892,260,999,166,
240,882,636,452,306,358,444,260,602,539,081,573,857,917,308,640,864,553,471,
390,323,273,256,796,895,792,131,039,126,996,916,522,158,642,815,391,331,735,
639,177,487,381,801,286,940,463,483,364,697,676,845,606,885,866,639,735,643,
482,574,485,029,522,924,359,592,500,509,771,493,700,806,458,330,321,264,264,
935,784,170,074,016,696,365,597,577,475,436,978,602,090,693,026,656,035,559,
355,983,437,319,917,955,005,826,388,771,984,674,012,075,242,749,896,267,851,
555,931,424,705,551,744,209,283,179,267,134,664,759,362,622,172,036,456,924,
131,937,208,581,975,599,386,820,996,057,800,467,002,015,937,441,981,071,030,
956,860,558,856,562,612,906,057,998,219,018,520,199,341,457,149,435,705,171,
378,367,747,939,631,122,963,822,240,167,955,509,921,517,930,968,805,977,147,
063,280,327,974,275,951,986,326,613,904,891,922,679,751,883,127,237,773,535,
417,207,075,866,634,489,201,845,008,176,027,720,781,175,441,719,571,112,113,
050,367,671,678,814,318,989,073,445,066,021,538,448,426,164,534,410,273,444,
903,462,055,996,187,494,500,000,393,452,697,988,811,909,695,994,546,536,192,
213,682,579,527,259,320,242,522,631,965,249,342,700,446,556,959,450,748,168,
708,431,275,693,325,203,820,031,462,266,446,597,224,379,035,557,561,110,771,
600,167,374,642,770,519,356,982,566,564,004,292,715,422,782,859,870,920,595,
156,054,265,990,801,361,300,201,844,616,836,236,942,664,078,739,481,179,490,
536,001,802,189,029,668,120,395,186,226,724,322,161,778,407,586,566,759,375,
039,164,670,847,576,379,458,265,314,204,509,441,309,121,279,887,552,182,286,
858,443,283,014,370,404,885,780,361,718,330,320,736,525,126,043,434,851,949,
487,850,406,148,479,157,003,747,268,274,516,762,679,637,561,702,358,546,804,
722,048,208,414,258,668,841,222,994,036,930,541,434,473,076,774,432,600,999,
282,816,387,791,723,331,106,407,958,725,984,850,124,041,515,445,261,085,511,
645,290,908,061,633,092,428,993,509,575,343,888,103,307,833,564,214,194,151,
245,672,818,438,163,463,848,502,362,613,908,564,133,227,531,106,474,527,851,
387,745,544,050,725,587,386,911,778,851,469,740,359,569,550,477,169,076,410,
972,088,660,265,172,602,520,593,046,482,961,270,470,817,021,944,445,249,719,
296,238,966,365,592,747,269,477,592,796,410,815,064,863,887,952,584,375,409,
600,641,048,389,712,976,038,028,641,525,828,788,061,787,598,747,531,954,326,
917,835,217,801,594,130,002,652,034,504,392,164,730,470,522,035,325,217,274,
679,066,888,775,309,624,549,234,600,379,615,227,567,443,276,814,315,105,026,
234,374,163,040,790,305,809,920,843,601,594,276,545,407,514,192,760,548,519,
015,957,040,362,856,569,073,687,712,005,741,137,493,848,042,650,095,043,395,
346,598,952,874,607,710,023,538,893,026,528,787,089,842,172,058,305,616,817,
860,586,583,842,373,010,795,194,901,168,954,376,675,146,553,888,287,190,116,
384,662,696,427,675,229,651,972,125,880,061,391,472,335,872,425,222,961,510,
831,263,036,213,800,163,768,099,108,810,060,890,308,906,083,809,332,455,235,
862,542,108,261,437,404,362,820,749,059,900,144,734,873,081,386,229,977,460,
267,945,191,948,816,364,320,545,320,495,408,407,465,076,822,621,613,607,638,
291,524,705,429,916,056,555,026,546,388,362,082,310,063,787,757,124,650,297,
703,633,239,186,257,081,724,246,029,386,306,045,416,426,593,589,326,019,600,
099,181,379,981,358,222,527,235,088,469,516,394,337,967,954,446,035,051,619,
944,559,222,009,515,306,956,174,194,398,896,902,826,192,997,499,329,295,862,
583,331,746,450,502,085,787,253,027,008,456,529,783,594,652,148,056,900,860,
794,751,759,280,990,940,736,943,926,906,050,162,536,879,125,940,657,993,040,
090,560,926,966,128,775,508,460,082,443,588,147,352,138,334,977,970,231,035,
246,707,597,017,703,034,626,283,252,570,626,107,109,195,710,680,822,882,828,
298,191,127,352,151,223,668,161,129,792,528,367,068,683,094,046,477,667,586,
681,640,870,158,331,201,923,419,302,471,547,105,566,320,489,750,527,259,032,
568,693,673,976,152,605,350,841,018,968,470,701,904,206,400,442,255,964,459,
238,688,698,548,987,782,652,448,186,114,769,099,016,173,975,768,112,137,470,
364,418,509,856,573,444,590,505,953,909,663,910,813,733,849,844,019,245,458,
239,441,104,202,025,842,832,918,282,154,546,127,554,640,287,843,643,666,884,
190,796,049,922,578,259,349,252,243,748,986,318,292,181,619,819,397,492,190,
653,540,690,394,458,335,009,829,248,292,156,668,672,233,697,854,981,072,662,
618,586,305,236,652,824,288,847,368,122,403,055,927,489,565,980,539,544,583,
837,674,277,815,339,992,803,093,862,730,720,702,427,098,232,143,005,008,691,
577,966,778,477,520,884,443,490,127,417,336,576,995,374,509,805,069,040,148,
492,440,456,006,805,105,594,258,060,996,939,175,446,795,090,566,359,911,837,
186,969,740,828,155,859,353,867,665,464,064,340,940,901,478,292,688,662,217,
891,618,130,604,435,098,631,703,151,976,549,750,519,537,184,653,906,988,309,
840,956,462,441,937,907,925,775,863,157,287,339,744,720,228,529,250,614,580,
755,732,490,334,429,032,715,241,418,117,367,772,000,121,563,462,776,956,829,
770,426,373,334,126,629,322,692,800,637,054,729,425,696,251,340,744,200,357,
904,399,589,521,958,553,904,999,000,992,501,625,882,946,819,360,367,819,388,
714,547,577,695,339,057,650,326,030,281,297,404,247,556,819,286,161,376,485,
499,150,549,794,671,097,556,200,755,109,170,538,175,350,928,534,363,326,464,
872,334,077,967,509,718,835,414,531,045,285,809,836,104,851,255,778,516,483,
731,712,322,605,731,893,183,182,328,073,836,370,069,770,695,750,612,785,112,
265,360,559,217,503,656,070,588,025,012,639,113,976,438,075,044,040,279,263,
345,363,355,717,473,342,554,678,000,378,861,707,275,314,282,090,185,592,388,
783,404,085,161,033,815,959,787,650,942,144,140,846,554,220,712,079,000,519,
683,500,299,047,168,882,386,718,840,392,627,128,946,102,133,220,849,278,639,
912,440,862,568,931,690,850,373,041,273,282,142,261,651,731,318,856,934,970,
984,336,050,181,973,850,819,389,178,745,576,017,467,254,712,145,748,989,027,
003,397,568,529,007,744,582,962,207,509,860,680,444,631,987,096,900,093,327,
902,770,959,223,485,786,642,875,736,445,625,483,542,691,007,195,187,492,821,
688,653,033,680,734,773,234,397,685,430,452,338,136,395,408,482,356,264,560,
533,965,479,987,689,150,066,876,081,259,389,715,887,592,849,266,799,969,621,
124,434,888,339,074,344,893,067,029,133,483,099,266,057,752,465,425,448,381,
033,951,204,183,352,826,169,094,126,044,193,238,506,533,898,069,901,986,356,
731,137,571,644,227,368,823,934,063,495,700,256,525,750,465,923,447,839,312,
277,075,463,908,632,442,012,894,666,201,265,642,067,872,099,340,204,283,298,
807,873,644,427,809,235,933,144,664,171,155,725,139,644,616,343,281,334,435,
192,507,120,352,552,604,719,442,294,944,344,582,733,227,758,346,450,699,396,
084,668,372,968,097,160,213,933,481,499,245,020,068,651,458,920,133,245,455,
685,600,733,698,951,961,687,043,515,661,539,143,010,876,433,903,547,141,408,
155,548,435,510,826,295,137,721,672,938,274,343,179,960,861,928,174,390,234,
045,314,859,805,556,376,439,411,715,348,336,536,935,214,024,585,246,231,787,
448,039,003,669,932,888,773,163,352,956,648,063,792,423,835,211,961,189,081,
847,858,149,066,438,009,419,846,667,458,355,764,130,295,414,307,889,692,357,
062,632,324,677,244,683,188,261,039,451,640,217,062,464,954,055,613,590,754,
513,335,690,241,192,910,859,805,073,009,555,256,216,907,634,245,253,181,235,
618,558,825,713,117,378,789,485,735,985,729,619,583,161,204,626,727,053,675,
426,207,975,930,964,950,733,440,290,144,377,179,667,837,422,137,979,218,219,
987,998,365,785,068,924,972,734,211,697,247,890,613,974,359,283,434,197,892,
936,655,368,831,030,575,168,640,005,466,262,502,500,614,135,382,218,626,594,
161,842,425,548,517,449,559,317,651,294,960,412,919,022,692,500,762,623,475,
396,857,593,650,870,457,990,946,344,888,977,175,765,282,889,102,627,020,040,
207,395,137,097,750,532,085,308,757,192,690,648,216,150,439,079,591,114,238,
285,957,387,972,862,792,011,597,734,117,070,740,194,479,216,032,602,910,096,
953,329,138,731,712,826,264,905,903,814,865,407,572,424,288,911,491,768,595,
061,929,539,698,049,227,072,146,731,808,514,649,704,168,510,192,868,234,496,
828,473,836,193,117,695,316,879,650,230,626,809,282,455,796,923,315,710,858,
648,425,930,620,687,761,215,555,758,922,465,792,451,921,838,706,353,396,833,
183,595,861,572,661,777,658,460,632,703,447,104,862,143,183,649,963,593,921,
509,940,384,808,248,084,227,272,409,196,255,920,268,770,877,315,133,805,259,
644,702,388,899,085,400,800,275,287,525,211,733,284,850,894,086,025,284,419,
966,283,848,237,778,737,253,230,163,836,674,792,686,700,470,722,037,781,674,
313,133,287,580,069,006,527,000,089,615,446,885,113,382,240,115,383,847,646,
803,900,120,759,589,972,636,123,915,794,018,402,692,036,221,939,253,039,818,
469,670,776,442,657,058,746,884,497,985,897,654,453,959,684,439,671,653,919,
151,588,758,660,313,095,211,095,446,114,033,028,432,173,236,019,218,609,381,
793,737,385,782,286,584,524,019,452,602,703,748,604,219,422,484,085,671,678,
802,661,619,093,157,891,991,770,490,748,746,788,039,947,694,144,138,424,760,
072,776,378,033,084,182,678,653,776,111,660,001,805,121,264,852,113,141,441,
463,112,359,215,963,713,957,611,202,105,233,444,038,270,136,264,403,480,858,
907,368,454,020,611,454,296,921,722,476,144,806,158,261,297,656,469,070,415,
888,384,003,123,115,224,760,432,168,821,388,091,846,704,163,682,541,773,577,
981,496,138,443,844,136,432,865,948,220,638,737,534,024,848,136,395,593,268,
910,198,852,533,474,324,755,095,116,027,965,114,347,959,820,288,736,600,282,
621,950,721,776,972,091,211,094,820,836,081,365,797,824,390,463,657,912,949,
057,710,792,121,179,393,548,554,713,661,312,183,992,627,002,123,932,166,007,
311,051,857,022,880,827,887,192,340,009,030,464,989,705,526,187,662,348,508,
629,383,416,895,893,907,013,400,173,882,644,364,957,151,319,370,950,294,762,
316,408,464,707,909,651,245,276,912,273,308,190,808,145,215,765,399,830,094,
827,122,651,310,873,043,967,737,390,513,444,932,505,263,596,338,142,587,207,
733,554,954,747,425,604,886,240,018,224,987,229,199,357,123,500,988,475,455,
701,282,965,890,342,292,348,335,930,152,845,171,615,757,515,348,195,887,381,
075,953,559,793,494,459,327,440,001,174,179,966,279,028,034,972,039,298,211,
063,270,779,617,852,754,238,454,809,946,715,138,251,169,699,331,342,779,391,
776,161,691,171,047,093,421,434,735,659,964,910,059,413,548,712,134,001,096,
002,870,883,807,324,070,853,208,522,939,024,630,841,042,656,450,245,319,040,
051,857,307,578,318,038,009,035,810,701,234,737,035,586,135,673,157,461,529,
534,541,505,331,420,857,506,598,575,308,505,495,662,064,933,066,670,813,584,
507,249,601,914,552,265,841,263,663,423,788,601,428,556,998,483,650,080,999,
030,392,274,363,959,145,430,923,324,619,603,628,535,537,470,969,102,236,204,
839,482,578,714,196,517,304,933,150,279,973,525,782,741,463,530,182,182,196,
475,506,534,421,189,045,455,934,808,449,889,142,904,740,119,134,315,601,667,
168,060,848,943,483,520,922,830,669,951,927,435,607,733,061,845,385,199,530,
282,155,753,163,734,216,447,550,936,664,134,339,576,351,670,771,234,627,127,
674,283,657,296,348,223,945,652,892,273,037,486,212,694,442,746,999,252,651,
386,421,447,359,517,090,308,083,797,464,551,331,393,411,857,531,469,700,276,
652,319,511,873,568,088,016,565,643,718,864,945,037,042,116,393,026,850,862,
571,178,174,361,402,989,045,216,596,937,894,828,708,510,561,963,842,570,685,
467,750,004,439,023,571,778,051,256,444,980,153,805,293,579,720,462,348,964,
764,514,256,480,171,829,580,361,851,035,260,170,167,425,972,743,792,926,447,
746,062,397,068,816,468,892,155,464,562,972,529,129,772,381,745,470,837,121,
608,258,430,977,532,806,911,646,927,410,755,432,384,928,727,371,846,938,180,
958,259,689,418,861,971,468,681,052,813,556,850,753,227,176,073,703,951,410,
979,664,219,562,242,451,104,197,805,474,645,459,966,821,110,623,707,516,674,
278,997,150,033,483,096,339,511,930,057,171,148,734,463,863,744,199,618,059,
316,317,052,998,339,783,421,328,705,703,202,392,706,334,933,604,093,154,252,
163,010,214,326,934,694,294,157,268,645,118,612,268,523,626,422,904,198,257,
005,834,854,629,868,667,398,839,014,793,571,505,273,981,711,647,038,672,758,
133,935,412,903,541,874,546,592,260,564,877,270,126,539,247,383,041,379,452,
535,600,235,805,774,593,971,338,904,788,597,033,488,919,069,420,182,577,965,
472,754,469,855,184,924,131,078,821,930,150,198,410,012,278,943,796,659,932,
796,311,538,330,533,922,927,163,560,314,941,101,737,329,342,644,319,966,868,
441,199,197,575,574,788,774,804,687,919,528,050,476,649,359,825,624,443,783,
147,108,765,346,127,314,445,325,400,703,007,632,781,941,983,818,335,115,865,
074,908,008,112,529,082,583,531,122,509,459,122,612,983,865,422,496,744,020,
443,403,870,065,153,033,782,493,676,664,715,159,794,812,757,468,597,434,879,
128,628,124,966,968,385,634,969,016,343,239,645,239,625,599,639,275,697,985,
820,344,717,691,148,974,451,392,146,922,562,415,901,714,705,202,282,729,994,
817,004,595,700,012,005,266,873,429,308,831,735,756,834,286,012,524,949,498,
047,096,365,329,332,371,186,753,738,739,739,284,213,750,388,077,254,442,194,
151,632,091,766,034,763,590,895,386,742,348,744,611,637,228,814,284,777,372,
438,354,906,538,759,905,993,312,074,153,831,367,806,658,394,979,274,699,247,
070,144,327,790,659,930,126,536,095,271,697,408,133,758,669,883,112,240,168,
450,262,050,786,359,166,816,554,721,720,318,591,186,149,936,644,967,286,938,
937,522,636,914,400,926,125,696,912,434,035,701,103,533,186,277,396,288,218,
204,341,036,375,063,083,813,029,878,533,340,724,381,509,418,159,681,929,826,
308,507,906,271,544,664,085,716,208,568,142,628,325,624,287,030,355,759,201,
816,351,883,689,506,039,427,837,564,638,338,645,190,023,147,909,087,843,830,
360,286,099,043,069,723,660,048,324,878,002,409,189,789,184,999,431,313,789,
877,798,298,156,581,698,684,918,370,900,968,827,858,022,355,762,172,942,280,
264,177,041,271,716,926,503,972,216,545,283,093,928,861,546,154,943,266,620,
144,225,564,862,139,046,080,994,700,403,817,750,865,812,136,954,215,719,996,
710,531,265,079,211,972,973,233,749,339,140,804,724,878,529,179,908,521,078,
983,335,563,121,765,558,853,897,171,464,866,517,939,944,221,605,243,681,385,
712,294,248,657,863,278,735,670,529,176,657,349,245,862,798,271,884,002,009,
155,395,465,627,418,198,599,090,923,861,839,028,200,515,179,560,694,406,154,
444,637,192,517,013,024,222,313,649,297,401,943,406,192,681,906,967,808,352,
651,735,244,237,897,778,879,053,699,243,307,648,970,482,254,595,758,366,857,
762,406,568,494,746,691,306,226,823,470,462,306,994,019,179,753,596,011,934,
419,109,634,733,180,356,951,460,296,527,446,708,612,039,958,417,272,013,008,
966,733,378,778,777,734,184,548,491,836,373,173,995,023,705,371,249,250,833,
930,554,199,069,998,757,056,292,008,016,781,155,549,531,230,148,641,583,441,
649,667,977,216,504,397,992,116,172,397,931,751,552,957,447,503,517,750,404,
504,807,105,697,153,789,113,304,090,342,626,289,807,367,598,776,475,623,144,
760,502,057,894,181,996,453,744,920,887,371,882,794,259,008,434,396,705,246,
368,315,039,335,126,856,457,404,977,558,812,022,867,268,275,251,827,118,016,
121,221,745,535,833,845,117,316,023,281,275,421,556,314,781,455,777,901,237,
090,322,373,624,059,593,438,317,379,022,050,897,803,164,113,697,234,190,546,
763,749,557,968,956,012,420,830,546,241,722,644,753,567,556,668,736,023,236,
289,932,470,091,053,854,472,232,407,213,006,590,418,629,555,041,797,299,282,
421,196,412,261,836,102,202,663,863,686,289,877,440,157,165,192,871,769,432,
052,265,984,749,863,798,976,200,923,002,495,182,924,265,101,435,630,500,525,
311,836,318,654,914,887,182,465,129,442,029,536,904,897,828,447,460,785,266,
848,467,082,270,367,384,124,389,728,770,510,868,445,215,928,136,933,080,592,
496,896,566,416,181,527,226,139,010,570,040,535,021,537,997,329,156,094,441,
178,920,699,016,228,937,925,609,711,526,181,504,788,246,769,505,293,647,827,
732,215,966,028,251,081,181,838,006,485,447,465,265,980,140,929,984,728,473,
015,932,355,418,154,546,393,742,553,411,194,491,392,623,603,876,533,474,294,
558,419,075,103,356,408,591,505,304,947,267,030,088,772,588,806,627,044,063,
798,297,377,728,948,227,320,209,895,598,306,732,500,016,552,166,066,477,116,
389,445,793,056,175,340,035,318,239,090,097,666,516,068,513,484,805,099,563,
924,505,945,888,345,150,621,949,344,669,030,352,267,307,958,821,860,301,510,
617,226,367,584,977,700,871,616,601,339,751,807,466,140,265,410,115,386,864,
230,118,362,202,625,844,002,544,392,901,135,332,384,921,527,486,171,585,008,
877,520,530,047,673,477,586,262,145,287,825,765,033,538,501,493,663,043,280,
373,444,518,724,419,321,584,406,772,491,006,988,167,117,414,839,938,933,566,
596,725,208,125,690,385,868,711,914,158,815,809,212,793,535,897,158,530,357,
929,304,319,652,132,658,863,251,795,112,307,014,737,902,244,719,032,432,560,
934,522,901,441,721,261,061,422,788,710,419,539,331,124,880,571,944,461,865,
358,538,862,074,941,613,434,062,786,712,719,484,197,799,815,368,843,457,318,
736,937,849,427,162,836,920,420,930,658,236,465,575,038,113,863,442,156,242,
380,898,488,582,081,905,408,329,563,518,274,148,084,659,668,751,539,142,909,
556,808,290,965,493,012,155,877,870,100,325,032,370,295,849,149,070,993,224,
647,967,768,637,197,093,523,449,495,780,725,799,883,756,077,959,128,830,263,
371,240,018,987,549,538,549,381,259,200,792,830,441,579,367,838,137,252,606,
088,689,106,045,422,789,986,726,469,271,419,373,139,527,530,761,236,765,251,
954,048,876,302,392,817,179,033,773,082,904,668,167,915,482,901,069,337,488,
620,484,803,992,807,912,736,754,251,055,042,497,876,141,422,339,168,433,889,
809,562,353,040,345,125,922,937,263,079,744,621,278,573,677,408,520,400,612,
332,295,979,132,128,197,315,060,664,412,198,990,221,287,569,227,225,861,793,
230,078,307,432,263,483,289,219,579,023,471,918,611,859,661,598,966,585,519,
659,838,952,814,078,774,835,889,497,486,040,995,167,163,917,693,966,604,679,
247,252,424,364,425,966,427,441,844,902,836,183,740,011,991,883,148,097,660,
669,354,687,507,609,884,489,235,161,796,279,956,526,138,337,002,600,695,597,
247,548,580,852,004,313,009,946,722,010,668,046,506,516,344,374,262,022,880,
219,404,795,179,729,820,464,244,788,661,914,191,923,231,842,320,324,131,766,
666,918,127,064,363,034,212,180,912,936,423,903,060,022,625,861,157,567,577,
756,127,471,096,343,475,643,130,429,801,547,678,619,481,343,978,846,944,796,
372,961,215,622,846,743,319,578,177,578,621,566,848,937,016,738,846,763,820,
989,908,458,389,883,755,587,337,981,138,967,859,923,381,245,713,684,362,599,
878,636,636,615,362,308,393,504,436,205,994,055,067,108,600,332,974,720,182,
674,166,750,268,820,453,931,764,369,659,436,865,657,803,401,658,899,311,398,
979,947,374,758,203,705,801,248,837,698,756,032,033,026,614,205,556,480,633,
207,202,526,687,792,741,424,530,853,052,748,220,830,931,707,437,649,838,397,
507,004,232,559,334,080,266,397,722,183,708,044,229,227,303,470,314,087,120,
702,269,936,090,611,533,130,885,841,751,044,028,355,780,885,494,881,662,826,
556,165,221,080,578,172,383,950,693,923,884,203,400,637,755,242,366,815,445,
110,223,033,673,426,321,632,794,136,380,949,137,509,869,235,259,841,825,363,
864,043,351,683,750,266,552,299,822,873,587,982,071,051,156,181,439,436,612,
760,943,901,413,924,219,946,295,273,560,792,082,500,036,271,357,852,374,311,
915,566,945,620,605,599,645,502,681,692,969,015,222,485,865,044,421,202,973,
310,510,447,085,738,650,461,897,288,766,484,403,576,141,554,979,917,396,089,
135,279,125,726,167,915,252,212,252,202,211,511,467,258,471,608,658,825,652,
660,898,806,686,732,187,207,062,154,714,366,730,381,659,488,851,107,209,863,
670,637,370,930,082,536,333,555,927,209,233,770,624,893,537,716,212,757,669,
523,428,097,606,059,687,998,954,114,636,308,954,659,237,800,698,570,099,308,
246,774,261,795,588,766,231,756,946,324,598,396,695,734,078,307,682,877,000,
296,258,542,835,003,183,669,866,400,820,345,199,961,099,570,163,479,297,532,
434,150,698,817,869,331,368,321,504,418,880,064,335,267,490,971,843,884,828,
177,779,066,520,709,587,297,995,119,091,359,310,826,799,212,484,796,194,055,
933,445,433,502,648,179,880,213,565,520,816,114,486,733,896,602,922,424,162,
083,710,615,377,134,597,277,681,536,998,570,893,434,462,916,949,854,758,982,
863,392,498,349,308,223,104,116,997,584,034,748,886,177,400,069,059,167,505,
968,604,602,611,448,760,047,487,005,787,147,191,114,672,231,659,867,535,644,
900,340,962,275,686,356,850,171,871,100,268,400,945,454,325,648,828,774,762,
213,590,908,660,865,645,860,523,056,493,766,740,709,235,167,634,439,905,837,
874,030,627,888,974,309,142,790,967,197,600,704,818,314,973,648,113,036,773,
423,839,909,763,042,191,679,381,602,746,904,631,643,106,158,685,378,585,250,
041,434,111,845,378,764,050,179,512,795,709,235,171,709,902,691,570,361,082,
677,522,634,628,022,500,542,222,054,235,910,393,972,979,977,551,636,531,526,
254,740,332,511,622,442,948,209,353,345,573,308,674,458,041,350,239,154,967,
531,966,463,411,180,477,740,167,681,619,184,429,657,505,418,391,940,754,149,
149,622,320,746,774,833,436,948,942,507,084,769,523,661,817,487,901,286,291,
344,754,464,675,547,916,054,097,965,401,890,865,394,082,104,906,534,309,776,
286,882,487,221,933,198,578,362,167,186,163,596,603,060,963,085,644,954,688,
122,880,049,334,863,101,666,049,903,690,782,015,653,494,817,605,523,398,859,
834,717,582,836,469,972,966,802,506,681,386,520,607,050,265,900,335,233,013,
113,845,325,552,645,699,959,636,873,081,456,049,480,437,965,769,652,293,861,
685,136,223,198,273,420,130,103,682,927,585,005,136,166,715,730,710,979,379,
844,855,960,211,956,270,994,914,290,664,178,769,952,506,213,733,471,908,958,
613,311,535,426,549,084,715,842,358,817,220,316,688,252,575,460,915,975,731,
574,992,055,881,277,801,544,947,346,390,023,110,218,888,864,139,768,662,682,
775,028,040,407,639,608,422,396,036,613,959,102,895,044,250,144,408,959,124,
437,169,331,426,350,964,968,703,560,328,539,656,536,101,494,605,210,338,747,
963,733,796,368,484,212,160,887,574,642,917,328,632,544,181,686,027,075,495,
304,778,626,349,602,846,477,942,582,582,301,324,185,130,797,101,594,259,571,
056,500,111,843,823,888,375,529,221,276,831,817,615,342,805,978,806,622,201,
403,985,513,581,549,456,206,867,996,026,784,126,263,479,390,597,976,918,197,
412,117,845,871,029,750,843,773,532,798,023,152,094,152,844,363,604,791,639,
251,499,894,640,672,552,057,191,053,812,604,957,738,701,189,878,962,220,622,
362,589,853,728,425,652,832,482,708,138,651,457,486,085,477,057,963,543,584,
745,763,461,567,356,063,729,084,706,981,759,021,910,641,079,247,012,035,599,
501,207,665,002,741,900,573,990,332,378,262,251,490,146,289,688,203,765,592,
773,726,059,654,057,125,400,613,181,120,033,352,105,563,451,078,119,399,960,
909,865,445,275,384,300,605,616,822,216,818,299,433,794,678,935,123,288,894,
760,825,391,530,156,690,033,734,512,271,302,875,059,172,304,575,289,144,182,
874,024,835,057,902,116,686,277,424,256,104,290,477,447,313,670,200,022,961,
552,757,676,820,815,829,156,788,447,921,516,504,048,358,921,476,068,806,127,
383,804,426,213,972,032,652,445,342,223,804,806,011,683,790,391,072,097,319,
348,345,235,316,976,350,735,662,545,520,619,901,370,455,652,673,867,977,993,
573,661,538,000,027,044,247,778,154,040,960,246,489,473,356,171,906,495,216,
194,288,357,168,306,711,560,469,938,077,718,516,540,479,128,047,719,818,290,
586,343,587,149,052,441,759,601,996,922,412,850,447,910,829,294,358,763,408,
975,693,493,503,340,059,394,491,706,881,078,900,315,024,435,855,287,047,571,
076,456,983,868,446,961,365,096,693,261,516,679,190,991,335,220,926,396,048,
808,542,315,877,730,857,863,310,347,631,165,146,807,531,485,965,240,051,561,
066,327,188,637,763,654,661,297,366,336,451,565,212,184,919,303,741,230,136,
059,801,167,535,425,327,401,358,414,037,305,084,726,107,457,265,502,498,495,
467,936,849,444,805,956,269,761,342,821,888,490,222,922,444,053,358,728,936,
017,249,869,725,249,244,683,070,845,779,602,888,629,132,865,005,057,757,064,
993,993,221,011,743,181,750,844,003,803,879,603,271,269,626,407,119,407,618,
357,535,262,510,411,731,037,990,965,486,217,541,693,775,009,566,380,942,596,
181,083,535,986,205,164,639,027,981,767,262,766,124,822,199,237,553,578,520,
961,336,642,629,720,226,081,210,678,900,728,157,075,817,219,570,357,307,274,
932,008,749,668,468,671,587,852,468,411,103,838,412,298,656,292,734,425,503,
860,309,279,750,047,932,851,426,650,284,342,719,426,802,433,935,293,307,901,
328,846,793,846,345,491,994,671,675,172,960,462,856,670,690,165,393,867,347,
625,422,422,761,889,039,830,850,317,515,701,934,394,327,531,117,181,896,267,
824,944,795,930,205,209,036,270,599,328,096,989,452,933,095,755,836,519,968,
481,907,029,985,479,167,515,112,809,670,013,423,576,674,955,267,064,046,248,
256,246,255,960,818,867,031,205,615,958,447,250,978,122,057,743,943,132,424,
287,000,015,849,734,425,503,096,014,545,363,508,818,230,443,632,119,674,650,
179,129,598,339,665,673,854,410,245,868,838,672,775,149,453,115,172,899,692,
934,387,647,463,301,643,261,394,538,150,165,179,480,046,695,149,091,242,552,
894,942,927,865,097,529,627,241,885,032,027,033,339,670,757,588,481,864,489,
197,979,636,988,242,046,891,405,417,618,036,002,982,070,561,520,568,180,710,
521,376,313,887,165,409,651,306,529,421,556,481,070,165,329,348,358,631,687,
229,536,334,384,034,029,191,987,007,894,830,063,136,657,794,418,663,813,343,
797,502,477,810,829,203,685,915,568,256,941,347,822,135,483,187,210,201,115,
845,994,121,604,212,537,190,763,579,640,460,299,302,942,250,221,871,020,882,
135,833,075,407,555,362,571,557,675,760,810,340,384,190,040,549,352,041,204,
444,163,527,977,918,620,784,831,312,054,271,500,356,080,746,724,765,316,879,
700,568,149,220,122,480,203,054,730,098,069,815,918,001,128,536,545,440,631,
193,128,155,392,782,879,144,976,377,098,225,074,427,540,051,791,282,988,850,
068,221,319,633,523,516,094,697,612,892,308,464,172,993,532,607,140,474,542,
555,574,384,346,133,377,392,375,201,370,694,574,685,895,751,788,482,728,503,
547,974,524,729,271,063,952,708,787,117,176,666,746,776,278,464,166,702,266,
442,558,765,127,051,141,713,775,759,813,786,951,357,740,086,109,579,819,067,
797,291,417,746,406,281,925,499,979,471,817,796,219,341,149,910,667,753,803,
197,565,501,778,211,976,467,582,296,593,649,779,365,733,003,988,150,213,875,
192,316,169,301,424,114,619,855,037,649,891,269,082,650,135,026,411,426,621,
811,741,763,479,001,902,800,408,359,860,503,696,572,065,547,326,376,786,477,
135,715,917,343,574,447,695,389,785,400,594,596,142,069,421,813,991,847,789,
244,028,171,443,624,320,140,017,088,997,498,639,379,403,784,099,405,752,977,
656,800,811,552,063,235,143,077,775,468,820,680,070,763,093,383,162,842,637,
930,560,890,172,067,875,857,486,133,796,979,776,813,925,890,377,807,260,677,
393,126,284,138,259,065,375,906,400,278,197,453,583,798,355,523,611,682,817,
068,574,098,718,044,233,229,135,243,898,523,360,291,598,362,189,581,443,927,
611,221,761,010,673,626,052,464,327,154,633,290,810,080,854,556,482,067,705,
361,080,477,214,977,302,260,372,074,742,887,848,891,345,822,498,298,900,149,
592,385,578,627,792,334,016,665,714,168,043,145,977,843,232,195,002,182,913,
998,599,058,593,900,137,210,926,105,042,689,263,659,431,218,583,450,480,532,
187,462,838,840,043,157,483,720,824,119,178,508,359,867,773,034,236,105,316,
052,092,250,749,906,761,254,536,408,753,639,741,479,028,075,384,969,863,572,
254,545,951,723,553,132,709,240,133,086,365,170,489,322,676,421,514,195,228,
957,086,417,862,241,396,354,318,011,848,205,141,220,846,343,536,769,742,329,
328,374,038,722,214,215,661,888,760,361,959,383,876,569,137,615,809,441,277,
996,829,668,443,485,606,913,259,177,564,908,289,821,309,985,572,109,550,116,
009,234,077,357,180,857,412,848,937,489,974,945,559,929,632,648,380,281,186,
079,027,959,129,378,841,702,854,306,144,359,216,329,928,113,282,207,586,074,
270,014,771,941,107,428,339,749,668,564,152,932,189,620,789,727,798,891,595,
478,793,502,794,302,957,960,139,256,481,228,231,668,601,928,164,962,017,687,
365,607,079,512,193,198,407,380,936,979,649,163,964,803,273,293,024,314,813,
297,240,620,357,406,374,735,767,582,497,109,823,758,005,891,020,729,294,229,
531,810,861,721,775,667,195,990,212,600,294,633,559,755,480,259,698,473,972,
741,483,915,604,583,868,435,074,793,487,199,179,206,013,819,276,192,427,163,
057,437,245,758,460,517,167,342,184,513,483,116,196,669,501,958,949,369,871,
037,093,495,468,919,047,737,359,443,409,877,786,205,794,383,090,535,391,981,
216,612,858,190,499,710,474,659,104,225,949,819,189,596,235,146,397,861,821,
534,670,356,155,203,913,129,695,998,604,305,003,500,694,824,567,257,951,932,
085,999,467,498,086,344,856,791,446,664,806,073,695,301,579,793,864,102,247,
994,722,063,057,948,835,461,638,535,745,104,826,936,163,044,900,331,877,320,
112,574,341,704,727,435,666,134,910,692,777,347,286,653,256,198,204,301,577,
051,984,737,307,214,681,257,625,855,904,639,197,147,608,061,800,672,445,332,
962,147,413,973,334,935,840,762,728,850,906,670,221,079,961,208,015,980,692,
815,380,020,824,337,617,508,903,163,790,004,182,978,789,678,213,693,367,662,
203,215,341,751,432,528,608,245,349,227,325,860,511,308,851,544,720,254,892,
346,492,292,394,883,229,545,304,084,630,379,550,889,871,293,947,624,467,514,
010,996,729,681,872,087,001,839,141,373,553,723,936,405,423,137,467,211,597,
604,576,739,857,789,048,444,597,644,496,946,195,608,526,618,938,240,444,452,
964,875,183,266,503,512,054,931,908,798,568,096,838,897,814,498,243,409,920,
303,511,310,789,347,533,121,951,748,892,022,513,944,825,351,247,629,279,120,
849,352,636,118,172,641,138,940,481,543,226,206,074,701,115,209,840,689,115,
821,349,255,960,488,694,665,632,119,176,060,634,564,661,704,792,425,607,631,
521,416,759,194,267,753,135,958,778,535,297,623,011,053,506,984,107,460,243,
583,645,637,790,111,672,562,611,478,301,500,495,935,025,280,709,614,975,237,
734,463,775,824,476,055,344,350,592,749,112,702,338,675,794,787,521,026,923,
344,473,902,096,265,767,495,070,697,771,131,294,651,867,619,256,441,991,492,
623,637,816,415,114,536,264,275,176,842,858,374,355,498,179,864,367,263,031,
618,561,868,476,621,486,357,927,107,172,042,126,721,682,586,185,472,058,927,
659,651,885,200,749,412,989,822,057,350,457,722,352,050,801,812,122,895,807,
010,957,143,030,257,396,898,580,316,611,372,570,664,225,295,301,599,991,261,
878,758,401,112,971,121,533,759,175,141,809,826,913,208,221,401,798,107,954,
366,195,338,042,187,502,133,590,668,556,775,221,696,029,735,714,005,041,937,
071,036,130,881,139,695,247,701,019,514,122,976,330,795,761,261,966,335,236,
612,178,913,012,788,744,090,746,870,487,942,297,640,340,867,356,264,082,995,
150,791,468,653,342,896,840,715,131,701,404,298,883,987,661,670,338,722,180,
504,501,692,975,364,380,876,996,068,510,730,892,574,589,351,738,381,746,182,
353,653,629,482,480,095,693,593,476,570,185,968,157,995,452,139,772,672,886,
800,447,971,167,892,356,435,476,796,484,193,690,567,129,261,942,264,155,249,
501,379,185,854,960,267,068,809,293,451,292,454,472,002,225,359,305,369,760,
061,467,573,285,877,377,824,930,430,312,491,930,074,080,539,903,694,934,535,
333,914,290,393,371,273,842,962,412,369,542,128,696,105,114,885,868,837,712,
395,874,657,142,584,622,157,342,887,226,879,690,840,210,154,765,106,517,888,
621,964,750,243,655,298,577,256,242,584,321,465,583,934,097,085,452,737,404,
062,301,798,783,711,268,105,858,728,863,443,782,091,905,781,362,689,698,463,
610,198,570,978,176,494,296,735,925,771,589,941,819,314,987,223,009,003,211,
900,372,799,760,897,633,976,412,856,543,907,613,791,977,307,980,746,409,647,
669,143,419,675,848,817,984,998,700,293,428,055,019,150,671,483,207,348,966,
224,490,011,962,298,535,657,626,143,279,345,530,108,305,186,131,100,195,644,
263,217,095,119,327,234,179,934,008,466,361,426,165,439,068,189,734,610,760,
146,748,368,056,151,932,077,838,883,014,944,663,490,931,890,983,434,645,232,
262,190,263,662,568,095,949,093,363,751,965,956,094,957,481,727,704,264,973,
299,502,646,755,924,242,236,571,472,773,740,340,640,732,290,535,259,272,205,
227,617,287,274,831,599,401,168,400,395,813,590,120,546,011,898,003,601,541,
756,761,028,202,470,878,356,938,446,138,895,474,881,167,171,765,282,868,337,
995,283,909,782,417,372,156,430,494,872,364,916,715,828,600,009,770,823,629,
494,976,111,767,479,814,237,070,387,394,325,678,175,595,668,924,765,886,789,
205,980,285,478,413,080,506,691,053,662,794,177,232,949,957,787,240,167,838,
262,369,555,351,967,998,760,370,616,220,221,050,671,255,919,755,695,521,898,
181,306,414,035,913,406,807,028,516,087,244,715,908,490,927,497,277,929,729,
226,214,377,303,163,589,544,252,829,488,194,963,260,755,008,184,242,651,783,
531,050,967,483,821,230,181,128,249,512,185,858,240,125,064,744,217,453,909,
222,847,538,966,508,665,632,920,393,263,146,832,938,013,462,345,654,836,926,
737,713,721,578,771,547,339,961,699,381,922,295,078,677,040,155,342,694,682,
274,586,753,179,870,248,000,135,532,733,904,013,066,692,293,786,361,743,495,
776,834,675,491,868,046,196,611,832,637,538,874,721,122,086,925,165,861,070,
133,566,989,026,573,853,590,583,971,004,988,592,581,052,844,864,580,158,552,
950,932,130,670,049,065,038,831,654,370,038,466,652,329,211,507,732,688,514,
501,797,982,763,342,168,732,289,773,762,340,469,859,825,262,313,997,013,037,
550,430,453,642,953,606,098,507,489,285,988,759,388,315,441,398,329,408,799,
648,699,653,743,683,193,184,524,300,335,854,790,825,410,199,770,951,032,092,
657,393,225,929,535,037,035,532,196,785,378,931,253,363,447,898,606,889,902,
553,688,626,893,544,510,902,480,562,821,063,873,063,855,622,114,535,929,505,
319,906,770,856,430,313,142,347,845,148,366,527,830,510,138,902,830,299,831,
082,579,163,893,107,953,886,494,001,398,965,416,144,553,472,410,587,388,947,
049,326,596,198,116,367,751,980,490,612,992,605,733,191,869,087,991,865,135,
047,102,643,655,763,464,555,491,836,445,934,867,789,572,946,963,066,860,305,
742,013,362,903,692,793,393,502,802,434,610,924,593,554,026,277,705,101,199,
913,103,582,380,307,893,640,850,111,636,043,943,154,675,675,608,608,069,835,
115,297,384,189,192,876,227,652,189,521,090,210,371,056,380,628,367,360,241,
663,352,781,159,618,559,337,110,982,624,554,859,626,389,170,479,087,436,327,
021,766,414,623,175,471,640,738,729,613,251,577,578,488,085,579,118,322,991,
881,163,514,665,186,140,641,190,038,621,573,812,535,000,888,156,676,088,166,
220,831,823,332,207,992,713,174,760,299,161,072,473,816,026,067,251,912,013,
847,178,701,156,202,746,258,216,720,808,793,249,001,358,554,107,410,602,244,
133,443,224,230,999,200,318,615,795,457,057,604,305,136,286,916,237,148,175,
422,755,865,432,860,653,768,513,473,215,583,916,556,808,555,778,084,670,456,
512,589,627,775,418,397,017,615,591,209,391,984,637,231,803,480,485,156,530,
381,433,767,842,183,318,318,678,756,221,968,159,767,606,162,228,466,761,930,
827,452,602,836,708,097,752,486,965,387,897,192,542,349,843,306,569,593,937,
738,226,081,124,981,137,788,325,083,538,162,501,251,449,272,018,142,027,399,
541,682,792,389,431,708,285,355,295,157,655,603,168,165,659,088,300,880,648,
244,611,982,028,998,472,779,864,947,092,643,545,825,965,205,118,105,716,175,
631,429,732,515,402,730,211,876,419,316,038,411,405,855,779,018,290,473,519,
763,223,091,226,760,449,866,878,725,781,732,081,423,481,133,679,384,333,022,
668,686,100,160,633,489,650,346,507,275,727,878,642,635,607,536,162,611,189,
737,683,273,576,917,104,844,478,884,128,547,024,666,541,234,447,358,280,481,
583,699,235,765,418,102,516,469,781,318,441,578,387,170,365,755,958,330,359,
891,901,894,627,676,558,383,214,134,939,369,406,360,373,472,975,451,978,283,
436,286,641,016,428,408,573,587,126,212,305,702,946,487,793,042,639,979,681,
835,432,817,598,025,926,556,261,077,897,407,306,167,103,182,917,214,571,916,
408,164,078,126,962,091,628,823,436,873,801,220,544,226,797,781,197,423,109,
273,146,865,183,889,440,830,306,307,366,927,638,012,360,900,866,012,171,305,
504,819,824,720,092,931,637,269,354,680,501,658,341,734,381,042,226,193,351,
985,842,296,130,000,763,635,476,369,456,078,705,650,034,848,257,397,039,274,
612,179,121,115,063,941,254,551,925,239,727,938,492,740,210,937,197,015,957,
569,121,068,333,683,959,921,774,441,146,247,436,600,722,261,917,090,409,157,
615,559,962,681,206,968,843,534,264,897,869,654,748,344,251,229,035,518,730,
186,367,893,272,307,009,790,069,559,850,650,988,019,479,118,869,612,632,251,
258,642,371,705,265,109,156,429,202,230,903,736,281,268,106,841,997,835,776,
355,973,084,290,734,990,458,867,532,695,467,698,419,841,077,920,167,179,340,
522,151,829,006,169,816,083,338,428,602,627,547,218,387,277,637,308,663,864,
154,426,498,879,334,965,684,775,410,645,578,507,279,488,874,060,583,650,883,
663,724,755,518,372,822,594,961,340,092,541,423,198,963,409,647,715,273,124,
201,529,398,702,304,078,469,916,185,872,544,359,831,414,012,525,563,437,313,
305,103,814,695,486,092,657,284,496,703,247,609,095,068,634,826,017,907,151,
265,535,719,831,748,804,724,764,214,578,649,967,138,605,472,320,700,181,194,
848,151,544,017,495,106,055,011,234,638,318,119,512,083,778,536,822,805,164,
281,317,457,980,894,658,269,671,315,056,172,526,979,208,538,880,241,078,161,
920,923,557,852,681,599,014,099,540,580,782,247,387,886,714,022,873,749,905,
207,140,261,230,210,068,072,316,848,757,457,965,713,785,236,881,629,279,197,
653,502,649,739,523,225,658,182,011,786,946,223,518,144,511,298,650,271,073,
474,756,313,202,358,955,682,573,139,660,841,587,912,189,073,806,620,616,478,
576,710,044,823,898,712,434,931,097,380,015,422,736,582,296,992,872,710,477,
016,869,228,318,636,713,698,758,866,040,213,074,774,261,557,249,432,755,355,
720,189,898,083,847,552,058,892,856,098,356,352,997,318,142,737,872,107,167,
817,843,428,029,004,705,804,748,509,238,300,024,125,247,437,600,483,924,774,
193,547,950,386,728,789,803,666,704,403,835,967,259,729,525,115,496,949,649,
366,548,222,028,483,602,279,101,270,683,800,256,038,782,572,992,923,645,601,
129,423,666,917,669,765,179,558,479,950,734,965,567,160,140,524,024,892,672,
458,932,203,638,975,140,280,365,445,298,339,229,365,019,841,826,224,876,651,
880,754,571,863,574,557,987,166,222,262,272,781,700,209,039,518,396,007,671,
690,065,296,509,654,251,982,887,871,653,603,150,784,501,840,486,539,223,674,
055,340,083,491,366,163,714,612,949,432,745,563,512,985,563,912,236,056,173,
891,781,935,088,556,364,283,257,574,366,091,276,970,339,526,081,617,475,269,
691,108,548,756,308,266,274,386,072,008,728,022,432,962,477,704,424,119,231,
888,786,986,605,682,070,223,122,536,020,530,081,697,640,480,814,348,993,881,
178,006,823,537,926,036,731,486,888,390,382,112,534,339,330,911,001,934,128,
481,427,397,011,375,056,933,277,157,070,636,995,559,378,139,568,573,629,262,
515,026,647,254,118,911,646,328,310,347,108,468,107,695,505,237,629,409,544,
068,745,907,357,795,603,730,335,522,806,958,305,547,111,048,499,446,914,108,
269,083,901,980,962,796,380,001,774,525,627,517,967,227,411,292,689,063,587,
408,232,404,020,413,114,169,301,320,944,275,299,441,704,886,365,860,233,474,
302,011,533,697,767,537,508,909,245,763,897,153,371,037,373,840,217,996,048,
142,351,169,026,652,240,823,337,766,727,675,690,779,897,191,933,188,883,858,
358,268,989,078,042,464,838,316,051,484,638,829,133,167,406,566,898,894,977,
406,011,349,988,585,504,982,344,856,119,320,969,308,327,885,546,778,782,048,
123,496,995,145,411,976,923,141,154,316,796,142,201,593,997,910,583,291,990,
473,633,385,083,788,941,505,320,554,285,865,016,676,915,706,741,200,545,934,
141,021,912,254,660,629,434,459,138,295,976,852,091,744,740,792,977,897,441,
154,138,290,057,958,232,620,538,248,472,729,019,958,802,449,476,855,287,991,
841,659,104,662,394,616,538,969,736,188,570,055,535,405,216,026,321,100,853,
517,368,533,932,956,999,004,014,734,570,356,403,041,802,865,992,551,873,979,
075,549,993,742,834,788,875,457,253,021,455,374,954,761,751,877,482,603,192,
280,228,431,024,778,900,976,295,583,641,983,331,215,780,835,774,608,118,470,
945,722,355,168,664,465,425,212,444,020,985,990,178,513,360,930,317,634,415,
493,311,436,486,153,576,432,782,072,105,026,696,727,447,000,614,096,982,726,
954,133,680,169,030,870,567,764,927,226,414,722,247,307,488,691,706,153,378,
032,529,075,793,758,224,293,175,228,405,442,508,335,414,746,611,535,901,978,
919,288,686,612,202,144,677,548,840,532,702,614,899,168,253,528,489,503,330,
014,987,505,093,424,492,195,582,748,551,281,684,701,352,221,454,661,318,541,
491,404,517,485,159,557,941,730,838,297,560,089,751,210,244,136,377,715,197,
352,641,546,679,175,725,341,527,228,193,012,024,220,195,068,967,612,110,284,
131,581,177,434,347,790,031,649,444,146,924,221,554,881,205,078,702,401,729,
789,810,356,303,829,468,446,247,598,303,031,372,367,646,061,204,737,277,270,
136,418,690,489,873,123,213,991,960,750,414,335,351,322,697,452,216,200,230,
690,752,102,993,523,036,481,479,978,607,980,828,655,553,794,949,460,333,753,
891,784,776,948,970,891,140,448,205,739,969,366,290,835,682,786,598,317,506,
296,242,480,767,873,535,062,102,547,775,832,370,446,819,078,192,383,311,829,
072,845,911,196,447,040,154,264,018,408,699,884,171,899,566,135,835,609,643,
201,489,477,452,281,507,262,672,860,032,467,415,729,508,361,842,471,881,517,
461,544,571,978,474,096,100,398,639,323,231,464,714,672,993,142,325,266,083,
410,845,370,828,924,127,810,911,489,441,552,511,858,776,625,154,600,797,893,
059,154,067,126,038,847,931,600,213,973,805,053,993,800,915,599,974,076,656,
761,143,254,283,015,552,100,339,999,498,235,312,161,660,072,834,513,628,517,
433,058,188,979,708,571,601,771,104,580,844,221,123,983,660,540,990,304,937,
491,180,111,040,671,371,163,316,507,475,962,387,823,099,602,722,964,520,238,
544,630,538,048,099,620,075,081,291,750,200,128,352,593,752,404,632,976,338,
410,042,427,521,641,642,142,459,251,611,472,595,951,450,218,453,873,722,413,
439,522,356,514,769,497,042,974,577,862,577,325,118,815,275,259,978,520,174,
889,776,193,438,135,882,776,811,131,720,658,486,007,280,615,220,191,115,213,
845,336,229,145,261,693,035,976,201,422,061,462,825,510,264,573,514,847,529,
534,437,368,559,520,002,316,512,737,470,228,474,963,664,580,561,144,559,350,
860,887,290,564,002,449,100,182,495,149,190,476,295,571,988,351,077,764,440,
737,891,191,422,317,343,575,483,699,550,384,659,073,191,331,223,705,045,491,
985,031,111,362,975,109,199,275,575,918,845,796,886,035,242,715,828,938,676,
646,071,665,721,298,557,689,000,409,571,618,349,365,213,202,904,649,730,448,
901,924,766,144,244,408,441,356,396,303,803,150,246,207,917,311,140,724,794,
389,125,563,378,396,386,112,625,662,156,655,787,852,047,279,859,457,994,932,
972,805,003,973,012,537,231,201,372,361,379,784,955,009,475,806,011,929,411,
849,017,510,379,263,784,453,990,341,363,231,101,240,847,197,048,523,758,643,
898,778,707,684,443,279,385,652,548,675,405,258,682,555,865,699,531,241,835,
933,297,702,932,697,073,046,846,080,355,814,152,931,260,119,610,440,023,486,
021,730,210,693,497,270,653,047,335,163,747,494,070,511,467,082,422,712,439,
612,672,795,768,364,324,313,235,580,576,973,277,403,119,110,794,232,744,139,
117,213,287,698,538,541,108,580,407,001,382,079,675,461,419,855,613,525,435,
295,884,186,168,609,792,069,299,136,779,530,136,836,649,540,358,534,018,729,
755,168,264,408,121,486,473,029,847,919,421,801,790,093,970,632,904,758,683,
166,895,690,682,582,058,612,047,356,289,750,796,449,342,773,191,359,764,904,
219,712,474,751,528,478,367,354,887,974,261,361,475,219,702,617,305,374,922,
529,404,025,622,193,102,167,488,072,646,084,806,543,080,819,152,505,949,255,
131,465,398,559,479,288,279,673,746,967,638,135,538,124,616,779,698,263,290,
882,631,629,292,055,287,791,687,375,115,651,062,038,636,938,808,242,214,647,
881,189,908,664,916,783,668,783,804,491,007,326,997,019,610,857,170,787,323,
706,291,690,395,587,857,590,045,675,977,012,970,265,109,394,446,644,807,384,
113,455,469,506,401,743,845,021,172,110,499,064,347,111,094,362,801,446,602,
900,366,404,707,502,901,192,541,688,856,572,901,358,136,766,483,968,719,739,
025,155,829,593,105,962,223,043,910,904,943,271,542,211,113,935,385,612,152,
369,920,538,823,960,671,368,520,545,647,184,833,743,577,095,721,547,292,453,
249,182,676,863,779,222,136,740,939,272,653,685,803,821,602,718,653,375,122,
180,789,039,830,573,231,059,546,185,780,588,815,990,993,307,948,125,250,196,
925,096,688,938,305,255,754,928,292,231,994,419,537,645,698,547,367,217,156,
633,788,897,720,813,595,022,401,215,206,403,068,307,362,247,296,045,025,487,
930,466,911,580,678,100,917,666,877,931,723,033,217,549,869,097,669,378,053,
890,563,842,847,558,055,101,436,014,059,700,981,630,727,421,427,170,957,236,
112,507,487,986,580,179,665,539,516,927,783,889,656,373,947,575,695,925,810,
982,137,742,823,125,614,435,484,298,656,027,196,375,403,100,638,967,571,576,
202,053,244,159,920,474,590,545,163,118,134,461,728,871,299,215,086,979,305,
690,067,092,880,333,567,920,654,968,650,704,520,296,373,586,231,474,480,296,
321,189,898,430,396,010,778,513,049,118,406,460,846,845,448,449,255,246,580,
923,014,018,804,617,247,562,040,020,134,412,284,593,888,678,043,988,678,060,
383,335,659,882,094,365,235,182,287,995,196,836,254,584,045,427,163,853,165,
269,268,469,279,799,217,990,951,767,372,499,719,312,405,084,650,853,868,465,
322,305,406,119,777,436,882,039,391,686,558,372,167,660,397,714,845,451,257,
162,557,123,144,366,566,574,068,269,417,070,291,252,265,083,553,525,448,307,
713,956,365,044,605,048,169,424,926,055,713,402,602,324,752,830,266,442,703,
382,055,302,373,749,727,052,647,115,998,920,744,283,327,867,954,759,207,092,
157,424,787,159,198,270,953,037,642,395,220,168,789,732,507,748,674,588,274,
654,596,934,876,453,015,552,185,328,118,284,129,686,027,933,388,037,309,225,
531,229,675,374,243,792,816,572,005,044,392,707,260,147,234,474,909,712,114,
123,993,284,027,615,656,847,843,324,221,461,175,782,098,269,639,016,511,691,
204,139,290,534,725,577,803,697,224,651,678,739,959,962,550,222,139,669,771,
527,274,945,085,252,834,115,250,685,245,304,785,473,200,165,959,704,249,034,
006,837,054,982,661,056,511,863,688,411,098,221,954,753,433,774,953,741,816,
840,850,748,022,189,762,264,761,302,250,306,757,672,339,281,997,482,313,430,
482,441,874,415,150,844,716,417,674,385,970,098,185,516,034,955,315,860,513,
193,025,887,633,744,695,628,537,916,790,007,067,502,546,053,118,547,353,973,
931,880,819,888,111,626,699,112,543,144,977,198,906,698,924,931,112,782,438,
869,079,149,548,811,784,233,861,132,036,448,295,212,906,053,653,069,551,096,
684,249,204,097,124,441,905,838,734,042,818,538,796,633,924,303,191,141,956,
532,163,728,617,866,698,408,994,195,382,370,464,559,021,201,516,057,619,727,
970,925,184,490,370,169,983,817,512,560,818,628,900,259,407,048,225,181,265,
559,215,554,091,620,079,073,677,245,747,087,900,029,964,874,528,686,571,433,
021,791,479,975,946,183,124,510,692,796,692,358,603,532,574,774,562,291,571,
414,857,115,036,386,563,979,178,975,064,492,195,939,841,588,506,778,796,761,
325,644,652,666,235,282,904,038,258,688,489,888,538,634,637,376,334,036,155,
710,390,583,996,408,463,552,822,910,181,504,398,746,938,427,797,717,683,663,
364,166,366,243,773,285,004,619,069,233,757,112,530,397,560,955,598,865,712,
150,142,038,163,777,478,064,225,136,801,860,826,876,219,014,748,311,205,971,
245,545,391,300,365,524,742,467,199,959,527,906,227,560,445,890,200,401,749,
080,907,948,265,979,106,762,985,595,762,871,747,682,891,467,219,808,776,897,
112,260,367,680,450,457,017,166,891,496,383,397,880,426,733,456,168,801,485,
948,334,083,136,198,609,344,140,925,042,336,993,380,760,715,081,144,938,068,
681,695,784,177,205,664,643,954,185,278,002,320,517,394,489,917,247,953,661,
260,847,927,391,447,654,094,400,624,419,239,388,398,957,287,988,113,016,835,
135,495,618,772,785,707,458,405,877,801,649,084,643,099,030,188,872,379,545,
246,733,990,547,030,988,125,874,272,972,638,590,453,834,993,716,214,786,321,
994,844,593,487,923,680,030,165,747,948,422,350,074,242,969,464,108,742,006,
653,796,625,202,482,478,909,311,000,391,090,534,020,486,431,043,098,690,944,
637,484,020,717,331,345,771,196,294,886,602,609,762,481,013,227,218,662,861,
841,871,851,655,615,103,865,340,977,925,996,170,497,786,742,968,132,015,132,
880,633,495,354,915,806,340,560,831,379,454,161,153,053,831,850,656,911,588,
241,916,585,343,416,685,090,582,812,650,772,035,046,645,614,842,306,142,520,
224,266,081,209,095,697,708,613,609,096,118,921,015,559,239,672,760,352,165,
020,200,259,191,028,524,587,027,680,221,327,688,490,729,768,927,908,147,169,
064,484,024,194,340,340,912,414,676,408,258,362,799,408,601,591,399,569,279,
437,493,324,684,852,776,481,014,203,610,815,414,964,141,959,080,110,671,731,
048,425,710,845,294,015,004,977,509,813,375,733,294,739,854,800,270,969,030,
304,708,869,987,396,688,275,556,744,755,146,346,384,033,737,155,233,978,533,
849,005,614,061,745,385,654,021,661,063,757,614,773,253,724,841,944,029,346,
347,916,005,057,326,056,363,952,640,268,013,048,174,967,982,066,967,132,055,
581,427,976,103,671,027,057,982,991,447,362,430,051,440,522,874,783,545,989,
293,512,355,461,456,089,068,601,153,592,208,452,418,359,014,403,179,998,182,
959,299,092,176,192,981,439,754,930,571,740,247,320,735,047,646,832,884,556,
081,275,168,426,492,724,189,875,892,895,777,965,120,701,874,930,835,778,856,
493,162,092,917,943,264,669,665,055,052,814,910,536,192,260,261,533,502,722,
856,152,930,972,710,951,540,850,598,226,323,223,551,759,533,117,897,220,146,
756,462,322,463,407,418,455,051,703,704,854,243,269,767,503,726,067,618,839,
340,095,196,710,862,575,576,258,978,620,260,875,045,395,713,083,837,666,832,
337,148,076,675,097,383,332,469,521,851,913,081,696,751,098,185,736,196,577,
764,589,977,880,843,068,726,960,219,011,724,606,980,358,706,404,800,822,996,
404,519,947,697,921,024,637,972,686,229,318,433,959,646,791,031,841,659,214,
121,059,231,551,920,999,923,644,436,461,657,011,306,441,794,964,581,882,172,
025,616,060,267,471,186,913,361,020,356,413,602,186,851,970,502,847,806,430,
595,693,907,866,802,940,496,333,690,564,152,832,601,758,712,999,609,920,194,
554,496,766,327,938,431,474,804,940,987,419,782,545,222,790,878,438,942,720,
240,328,725,797,074,379,569,420,864,494,776,435,940,415,594,629,609,817,998,
558,379,880,608,233,648,447,750,214,449,356,842,396,060,902,685,456,926,630,
312,948,688,607,614,731,676,905,008,888,033,095,765,140,809,484,984,220,863,
353,436,888,602,001,812,347,200,930,596,904,065,606,598,969,563,752,650,674,
077,260,373,809,378,914,762,718,822,565,681,444,607,356,296,166,051,982,694,
316,500,024,066,205,159,104,309,360,194,934,245,702,695,992,436,979,172,311,
282,608,954,845,769,748,917,791,074,872,685,821,129,045,680,643,468,939,997,
857,021,664,092,086,651,153,136,051,097,299,336,259,948,013,575,714,132,559,
448,072,338,345,948,005,462,442,846,412,117,078,354,254,605,044,032,570,738,
531,640,604,704,966,131,562,066,962,154,408,205,921,393,939,332,402,516,111,
923,135,214,311,323,775,967,836,232,483,720,214,089,996,385,615,190,536,242,
595,970,714,241,953,591,531,952,153,604,028,032,854,851,458,240,551,062,154,
662,055,430,563,867,146,923,146,695,794,223,943,283,154,942,064,433,818,452,
552,225,673,087,703,188,256,979,063,812,004,485,008,589,893,494,037,900,382,
980,264,880,136,698,752,950,991,215,072,725,175,434,910,240,758,954,542,920,
473,232,864,870,304,218,834,538,660,687,313,337,030,129,811,847,535,066,758,
280,994,943,568,867,113,794,312,360,253,224,564,333,276,441,511,344,328,425,
187,517,504,898,782,112,491,453,835,089,396,715,778,228,018,869,058,781,684,
435,665,323,346,868,394,435,089,770,536,331,499,047,152,258,875,152,179,945,
346,893,648,034,478,947,773,608,266,176,020,674,519,086,979,027,517,061,467,
601,716,567,899,716,161,936,708,425,879,952,762,410,234,583,726,853,432,674,
976,800,725,040,547,121,620,173,806,071,322,434,679,497,948,116,389,496,424,
231,212,868,823,032,917,026,242,107,764,882,891,236,213,017,925,691,066,729,
550,449,794,045,578,837,232,216,772,103,051,999,217,382,512,773,559,275,814,
732,400,542,419,942,830,270,077,241,634,408,026,786,503,569,663,971,255,494,
261,068,915,417,329,295,898,995,291,496,676,307,964,468,552,153,785,099,751,
098,264,500,222,563,369,854,138,024,343,302,668,772,596,411,137,101,841,995,
294,225,613,246,858,168,038,144,489,981,628,534,079,824,409,255,186,640,710,
370,137,225,037,313,288,317,910,631,909,074,920,000,331,629,204,949,513,538,
910,785,383,091,794,784,549,095,285,108,596,483,836,541,590,863,597,574,408,
152,060,416,776,772,343,257,997,847,816,933,610,294,995,898,468,074,192,274,
196,066,842,225,618,520,088,818,334,299,622,491,458,487,626,022,101,683,861,
537,649,684,904,407,885,562,301,629,349,824,516,541,324,248,959,096,545,878,
769,874,353,595,329,155,843,587,063,668,001,340,058,337,804,506,992,684,016,
251,032,797,162,263,992,565,984,432,781,328,632,856,082,367,565,061,064,270,
509,348,867,748,395,197,671,794,315,887,035,971,374,387,402,761,670,712,161,
858,229,089,483,997,423,164,605,912,823,067,153,780,879,595,925,332,280,409,
972,636,489,840,402,659,618,546,159,757,724,098,886,784,659,687,570,123,171,
674,042,738,765,138,605,533,031,538,614,080,787,474,296,653,192,764,440,743,
464,152,499,644,806,026,551,347,542,296,114,450,212,115,898,253,202,429,527,
358,909,062,882,043,497,969,328,920,732,290,035,828,425,220,118,481,687,473,
488,997,280,661,241,563,401,049,905,927,418,069,786,923,371,137,719,562,473,
345,511,807,471,106,926,186,763,014,979,457,037,876,719,476,021,123,343,493,
649,651,575,925,052,540,613,617,710,062,533,086,547,995,872,617,545,402,112,
689,815,223,697,264,111,937,789,375,074,686,096,895,032,501,185,154,439,246,
042,514,976,927,516,817,325,313,389,905,589,509,504,953,463,469,315,641,104,
397,802,857,907,326,673,669,342,039,850,356,628,716,547,430,045,050,596,616,
215,356,147,377,034,040,553,618,942,221,211,781,617,395,739,946,043,236,973,
813,693,407,161,464,431,936,440,049,901,912,873,035,559,742,219,325,297,627,
339,915,159,473,236,436,595,447,454,841,791,403,214,626,682,892,758,280,141,
936,800,563,537,562,129,982,108,288,250,021,072,770,953,770,655,171,090,856,
796,817,538,118,774,970,018,666,617,285,118,858,511,970,474,398,032,746,060,
454,393,710,684,788,874,873,797,961,779,386,480,309,366,334,084,785,702,060,
158,746,822,243,991,543,212,541,390,931,912,522,036,431,696,362,401,810,822,
572,431,059,764,142,210,949,669,707,822,526,554,575,076,325,862,071,859,442,
594,571,479,132,170,001,329,458,777,268,340,443,910,637,520,590,418,968,424,
958,460,510,220,279,646,712,677,043,048,415,093,666,546,005,150,293,690,074,
856,826,257,817,349,433,120,759,859,327,819,607,832,700,186,952,363,386,735,
337,618,456,991,498,008,555,886,481,756,250,858,258,576,805,446,679,755,943,
343,141,961,493,574,514,799,355,816,398,536,711,983,874,244,921,975,904,179,
464,262,245,138,309,221,245,279,171,221,576,532,314,390,487,466,906,045,049,
297,590,921,383,291,259,903,583,913,442,964,898,372,893,468,651,981,883,724,
952,053,335,578,683,383,938,834,754,425,572,396,669,097,486,736,822,113,349,
796,278,789,618,405,159,966,250,020,433,445,759,561,781,413,415,189,515,493,
089,690,393,627,402,090,443,135,482,973,321,727,760,897,965,608,399,027,660,
173,170,106,277,566,240,428,951,637,556,779,790,352,543,469,732,601,484,640,
610,639,423,847,245,844,503,207,782,972,123,160,191,042,698,984,745,782,620,
868,378,971,366,204,375,131,544,960,998,495,571,944,294,562,314,774,031,614,
914,908,818,210,930,394,424,783,277,569,728,740,755,690,052,420,705,114,866,
498,737,917,320,521,032,090,371,556,253,916,141,278,927,117,499,811,396,215,
641,031,020,547,407,850,432,264,172,364,193,508,435,396,654,478,068,192,967,
287,925,492,203,446,306,386,319,209,926,818,613,211,830,297,415,543,070,107,
860,497,503,281,400,310,030,122,637,604,444,225,351,252,480,082,011,745,459,
837,068,867,755,190,977,069,369,574,712,090,738,330,833,360,871,511,167,349,
504,104,404,378,747,394,174,339,375,688,895,421,531,729,289,328,932,426,791,
872,790,292,587,832,319,055,615,340,431,285,087,932,651,629,743,486,135,846,
210,644,914,284,066,341,976,926,829,065,182,593,178,100,014,078,463,304,638,
478,942,733,847,380,365,972,425,352,827,537,500,627,340,658,311,783,842,199,
852,389,299,107,542,917,058,222,637,337,405,942,003,047,166,992,250,935,398,
119,793,402,022,627,803,780,287,833,277,078,384,338,393,274,690,345,408,885,
415,893,899,629,231,005,345,808,554,726,710,865,704,913,983,238,405,777,809,
145,549,720,517,900,021,654,690,331,775,779,047,758,769,241,922,287,859,437,
132,359,584,777,997,337,459,467,027,795,950,148,043,196,344,471,328,940,548,
289,970,454,904,071,049,914,980,606,794,691,096,435,178,281,258,127,385,257,
985,957,825,036,227,842,574,493,926,405,848,792,524,469,038,673,459,784,178,
988,529,533,078,875,597,620,635,382,297,400,460,783,535,077,402,019,840,611,
650,650,561,513,940,716,352,789,219,972,787,538,366,074,017,822,035,341,135,
236,791,877,136,596,299,390,776,775,672,629,870,921,788,642,621,516,585,322,
134,168,550,317,652,693,322,566,710,458,832,314,972,447,115,029,138,443,954,
043,459,296,719,897,688,404,804,281,000,826,308,005,733,091,318,898,982,797,
861,300,566,798,015,151,118,876,771,725,713,835,683,809,538,209,869,607,510,
377,775,563,958,709,559,817,191,089,011,206,945,095,028,643,979,864,862,690,
441,713,752,130,579,005,357,411,926,420,021,393,121,007,981,888,164,525,033,
042,148,056,994,919,278,357,455,579,098,899,051,884,288,529,614,549,963,070,
820,256,963,621,731,548,388,516,576,736,432,111,402,911,963,731,571,772,217,
554,128,170,664,948,765,867,832,238,515,618,140,280,704,512,156,348,189,070,
975,537,474,914,175,292,529,217,801,153,059,921,020,958,299,201,226,517,211,
308,488,559,105,891,631,648,782,050,873,882,454,121,827,286,241,714,253,234,
162,346,702,308,082,139,994,875,780,294,365,521,021,227,809,144,785,065,026,
296,940,853,208,671,942,073,560,845,796,960,072,879,115,408,294,803,620,364,
490,726,914,928,834,889,342,528,455,690,034,797,289,591,560,747,788,829,813,
591,744,288,304,768,962,624,057,702,326,917,397,448,414,607,667,898,188,260,
576,796,363,744,585,971,220,686,990,523,715,545,114,931,209,045,405,191,609,
614,590,544,328,942,403,508,856,082,947,706,123,107,799,441,782,308,266,448,
489,300,157,104,791,125,375,350,944,989,762,837,219,700,086,135,175,175,064,
576,086,810,531,596,041,292,482,364,829,442,768,145,666,544,500,360,162,298,
834,363,354,615,425,586,165,104,725,970,885,687,692,304,930,795,674,571,644,
164,246,284,611,283,593,228,569,722,705,357,941,811,805,651,562,716,708,562,
165,600,126,476,786,324,659,000,298,050,054,518,258,001,606,288,361,182,141,
796,017,874,924,105,250,111,651,800,746,945,231,013,526,093,716,570,080,806,
912,044,849,384,164,951,748,932,747,160,600,635,291,861,624,951,409,567,195,
062,551,672,885,407,790,930,691,651,794,802,317,183,464,352,461,503,477,348,
736,327,396,973,874,432,707,261,298,908,329,771,077,549,440,843,564,479,089,
749,421,095,632,502,823,337,615,485,234,802,802,186,976,883,220,260,027,683,
131,026,906,556,785,660,613,348,253,324,331,835,001,138,938,450,620,606,189,
061,794,144,557,972,449,097,605,208,274,129,616,536,483,006,927,998,816,334,
092,703,261,437,544,136,513,788,243,914,684,166,832,389,153,785,435,651,203,
860,247,663,433,906,258,495,057,480,339,582,847,430,248,803,380,267,158,690,
509,394,233,382,981,405,028,079,457,120,814,230,165,107,449,564,764,702,195,
368,051,288,392,467,066,122,705,106,040,559,176,075,069,066,303,597,736,584,
887,212,472,489,479,021,809,791,671,134,022,453,951,825,545,910,978,138,501,
112,251,037,046,163,866,859,843,387,252,236,871,584,537,687,504,963,164,795,
188,061,187,144,118,268,713,367,939,076,119,964,497,248,638,932,047,786,875,
166,768,197,046,843,614,803,893,190,669,182,649,220,188,515,364,906,822,063,
034,440,512,660,356,886,064,166,039,434,604,763,364,287,097,672,155,922,249,
350,951,307,140,843,199,542,341,203,371,784,744,301,432,930,981,232,063,455,
255,453,592,140,878,447,593,316,490,487,864,558,513,280,120,997,439,437,947,
867,203,327,077,398,031,005,032,767,060,580,068,999,428,068,319,644,733,491,
766,747,410,230,453,975,292,699,007,824,912,541,814,486,169,623,473,081,707,
726,676,008,249,289,457,850,710,938,502,044,751,575,569,018,359,942,644,930,
859,231,759,646,739,684,870,144,477,289,468,455,265,621,146,027,691,331,525,
449,793,712,740,657,998,924,109,914,896,575,600,764,058,716,597,855,756,362,
644,767,751,944,456,770,268,093,487,586,803,505,223,229,599,401,422,411,939,
254,215,448,770,771,462,058,654,063,119,152,055,193,037,333,350,046,604,849,
177,787,189,954,236,299,787,305,648,459,034,912,961,364,746,399,121,697,285,
774,484,617,565,957,085,835,493,413,309,381,248,075,779,285,496,399,051,266,
666,455,582,047,087,981,135,172,236,697,345,230,399,201,287,169,665,716,782,
491,862,605,151,705,963,530,789,502,821,003,291,814,688,968,697,965,885,628,
465,843,930,552,396,785,775,968,147,291,253,023,618,065,765,940,500,903,494,
199,436,776,894,613,738,686,218,321,391,555,239,053,065,569,984,145,829,111,
362,928,102,891,519,048,605,788,927,489,654,412,958,210,478,894,808,496,665,
688,365,186,089,021,949,310,864,292,264,461,731,215,934,911,528,335,241,016,
213,844,017,181,982,538,116,320,240,222,956,499,094,813,892,524,788,805,418,
555,129,306,185,683,606,210,580,437,469,866,646,275,979,184,227,396,419,281,
804,271,996,616,719,480,524,726,990,799,766,296,051,167,139,534,522,319,500,
974,259,971,877,507,365,854,938,840,463,952,402,303,788,128,845,077,490,698,
259,066,965,988,414,666,796,972,750,310,988,012,136,347,689,843,526,980,468,
115,337,404,893,551,338,895,295,885,719,423,193,639,990,936,109,546,429,030,
508,371,877,540,194,675,821,413,379,493,179,941,776,697,098,916,533,225,298,
662,655,833,314,410,058,876,804,691,713,961,957,510,817,152,814,273,951,717,
412,778,896,465,411,439,581,702,154,327,441,151,171,848,428,028,408,583,270,
075,650,918,253,100,659,786,127,154,591,134,832,096,101,806,009,813,367,402,
991,728,224,853,355,861,041,141,819,394,721,556,877,503,483,809,077,181,279,
431,131,752,282,585,342,044,658,103,013,346,508,538,397,613,082,708,817,600,
073,729,073,103,961,089,829,351,313,734,541,462,177,322,656,213,945,769,427,
363,295,690,124,417,027,042,049,065,168,422,063,119,569,570,909,728,051,793,
871,346,022,451,723,540,676,419,367,975,426,989,268,797,515,608,767,983,982,
793,739,209,341,588,284,575,739,163,463,903,953,190,326,989,834,302,914,219,
485,595,655,781,310,246,179,110,559,024,443,045,120,389,414,597,782,645,685,
063,997,941,601,875,798,999,974,194,850,701,072,311,353,235,451,429,427,674,
641,533,545,918,615,056,725,736,746,310,638,073,213,306,257,126,980,576,936,
262,901,564,471,713,851,790,331,827,424,041,736,142,597,653,764,718,087,959,
870,975,012,072,368,056,989,513,383,317,965,978,902,269,792,284,971,520,351,
343,393,790,669,210,570,477,420,533,026,122,300,431,799,438,029,530,728,129,
970,601,373,606,721,325,070,906,963,335,720,511,073,660,226,790,270,369,123,
745,939,907,499,018,333,709,832,846,038,770,732,042,085,003,503,165,009,899,
480,486,153,724,148,804,391,152,501,544,976,179,667,115,438,384,090,270,309,
721,537,186,326,581,821,430,877,818,127,957,172,163,983,068,847,872,820,574,
707,236,387,942,995,645,009,418,227,094,705,124,779,499,983,441,275,829,774,
820,293,592,587,822,192,208,101,154,833,453,679,543,944,187,065,185,057,332,
333,940,937,204,695,300,277,065,534,424,373,688,688,512,278,945,680,527,366,
665,209,853,014,649,581,487,079,999,821,931,330,472,060,122,568,822,322,213,
983,796,312,558,500,288,766,590,300,757,868,283,970,142,168,146,613,068,548,
353,435,063,590,549,153,033,942,166,135,229,742,339,143,272,315,153,468,742,
049,155,750,462,001,004,881,298,841,397,385,693,453,749,698,645,192,702,170,
037,762,307,824,229,650,744,660,577,635,432,125,390,672,826,911,662,645,206,
898,758,505,630,721,539,639,035,919,658,490,284,987,399,788,792,184,882,604,
913,252,311,995,128,909,417,031,347,046,638,414,539,172,374,636,601,666,771,
757,680,909,830,243,600,200,460,431,603,894,011,986,235,546,392,999,584,835,
921,638,607,850,783,659,600,325,869,166,805,001,773,707,147,312,521,265,003,
508,496,670,258,267,963,889,409,511,394,663,393,892,969,748,849,601,253,256,
267,399,992,192,026,071,841,551,634,134,751,435,391,234,873,121,580,382,507,
242,514,938,759,798,938,861,448,205,565,619,734,257,104,232,507,655,136,134,
550,369,614,748,123,796,464,301,313,015,597,770,900,675,606,843,048,678,351,
780,142,992,050,096,414,399,982,023,442,359,661,524,065,785,249,958,398,559,
792,926,441,883,399,404,154,245,274,480,785,818,750,546,971,977,071,985,572,
741,503,970,528,656,698,383,247,610,506,905,856,213,322,095,362,994,284,122,
069,464,219,920,715,003,392,521,321,555,419,428,400,404,239,918,413,990,577,
611,338,798,966,678,262,411,921,733,851,068,179,579,167,996,927,963,625,839,
855,232,863,807,703,727,520,404,390,531,318,337,907,753,455,347,736,579,007,
410,692,047,958,806,952,294,416,912,658,335,535,769,160,542,758,497,007,141,
207,527,523,290,186,942,573,836,945,717,343,741,320,549,538,429,340,306,235,
411,391,997,009,329,570,337,863,178,604,349,842,342,939,085,040,171,571,165,
020,318,393,298,572,955,744,757,534,290,520,069,608,997,951,680,518,927,842,
662,241,160,770,545,374,899,634,641,102,722,404,865,681,044,533,887,768,005,
057,110,299,195,489,741,196,945,109,176,398,654,397,632,953,282,222,871,931,
199,440,368,336,178,315,495,863,638,920,194,434,758,514,670,735,861,977,484,
183,744,428,841,519,509,832,237,214,099,548,083,195,465,906,748,763,638,921,
119,489,736,019,947,480,362,429,379,486,580,697,532,539,019,732,864,368,019,
747,968,546,023,551,182,100,052,996,336,769,789,342,413,045,404,226,957,908,
002,827,456,293,357,214,155,532,302,951,895,946,964,166,270,841,723,440,767,
979,604,781,760,568,221,843,720,006,728,896,607,265,932,026,442,791,515,082,
298,506,813,462,951,906,548,187,242,652,945,547,649,475,906,643,959,202,464,
404,479,002,000,795,868,449,353,394,499,877,550,332,131,649,336,619,650,970,
770,187,332,041,433,790,693,184,389,918,663,844,047,460,728,925,417,820,812,
956,857,111,817,464,302,598,918,922,613,206,492,353,039,867,895,671,435,626,
682,573,392,602,425,094,782,233,748,121,220,440,257,779,354,086,121,147,625,
651,954,451,564,579,099,746,796,846,983,038,181,493,474,441,899,875,560,032,
741,950,339,514,539,141,411,945,320,524,405,718,775,200,493,101,802,296,039,
202,784,862,506,615,896,782,040,108,577,827,696,877,606,330,128,377,150,669,
020,186,760,597,684,863,678,270,464,033,799,770,727,190,234,415,966,380,919,
387,591,649,491,662,731,270,236,670,862,533,008,500,317,034,701,169,671,874,
243,244,304,642,240,797,701,827,241,931,783,851,127,409,301,923,812,504,571,
502,247,478,404,262,196,935,233,991,837,397,660,427,743,066,413,188,024,191,
776,519,722,409,942,067,623,442,273,448,669,464,534,143,598,225,228,024,725,
302,887,671,616,911,079,996,311,612,015,475,622,237,412,378,857,472,305,510,
641,062,948,145,453,551,902,558,542,992,896,355,975,213,346,916,999,869,464,
062,088,846,824,908,678,644,922,181,359,236,845,343,756,715,684,228,029,575,
718,973,190,510,030,697,442,811,154,492,523,030,291,889,947,479,292,002,150,
827,309,018,888,258,396,847,653,950,714,987,713,580,850,874,779,745,332,920,
772,231,448,538,261,217,602,901,339,853,556,832,071,008,880,702,297,660,818,
807,289,526,823,284,655,812,283,886,397,308,154,601,578,064,237,836,167,098,
050,409,115,845,286,190,989,432,341,688,883,723,128,406,611,121,274,559,167,
195,870,262,546,583,126,633,069,184,714,809,008,181,794,627,094,691,846,291,
311,076,674,759,497,293,284,815,605,290,753,364,320,743,682,029,929,381,328,
532,023,323,327,185,506,353,525,376,434,215,512,359,542,662,809,655,938,746,
570,765,000,882,765,904,794,545,382,638,132,217,143,980,748,810,588,822,244,
155,848,119,368,954,635,863,661,376,787,675,069,119,042,004,008,291,588,324,
685,508,114,351,450,166,780,774,319,327,042,604,909,855,025,392,900,667,401,
109,323,991,079,725,111,949,234,061,615,942,709,205,195,913,693,059,287,129,
287,833,185,146,478,871,184,854,313,730,505,807,576,241,759,224,163,040,131,
454,174,731,260,947,855,493,488,516,410,209,326,026,435,073,882,536,748,285,
365,207,164,041,896,390,986,237,494,297,785,873,068,344,492,241,588,683,603,
124,440,769,432,599,523,301,791,954,947,981,201,664,501,258,418,589,329,622,
441,668,203,442,864,007,052,728,424,127,106,651,768,910,068,737,213,135,420,
735,532,760,528,376,454,133,700,042,046,601,271,280,879,142,060,144,815,306,
557,018,324,801,107,203,538,336,883,674,059,274,490,078,176,570,903,505,972,
052,393,378,403,531,727,434,048,679,159,822,551,853,375,218,838,910,061,623,
231,701,397,408,434,769,674,237,567,237,938,748,514,301,821,687,070,540,015,
511,703,519,102,416,637,845,204,574,968,906,966,085,568,332,759,390,490,445,
904,732,838,685,337,900,280,836,559,319,240,830,289,046,329,000,354,431,805,
210,680,154,945,176,180,549,382,726,811,931,801,836,820,026,603,488,307,608,
418,400,129,470,395,525,778,718,850,920,323,470,774,790,653,897,863,047,639,
403,792,537,935,147,786,168,378,651,859,146,587,593,910,410,141,757,966,772,
072,117,729,988,131,602,694,222,382,567,997,062,301,189,225,495,728,761,487,
131,574,279,308,535,645,309,474,390,649,717,177,026,617,344,753,582,497,016,
934,557,534,735,342,858,386,596,331,998,881,797,729,893,023,132,371,871,066,
688,541,437,404,961,012,865,483,522,866,106,714,697,353,889,096,741,214,790,
364,578,780,560,574,453,234,155,415,741,739,168,046,929,070,525,335,462,216,
581,096,661,156,958,201,247,132,553,108,780,309,673,936,343,430,434,030,248,
915,754,987,171,444,554,279,821,476,775,904,750,906,684,124,102,071,566,461,
852,622,322,295,487,421,318,183,299,086,366,678,818,197,702,834,133,612,122,
540,967,689,618,143,948,478,019,032,626,606,299,521,623,341,825,428,359,902,
913,857,453,837,644,671,368,583,248,100,998,754,000,804,401,234,652,201,491,
575,828,542,538,479,082,738,143,979,829,787,632,997,504,097,293,663,567,818,
319,350,127,038,289,022,840,287,384,026,195,646,500,901,800,147,705,151,209,
197,667,739,145,675,408,739,431,885,300,610,143,637,572,384,756,993,164,974,
594,551,053,676,330,391,357,672,940,513,908,601,283,560,041,494,960,365,481,
857,674,715,644,748,075,947,832,777,314,395,899,704,410,356,368,176,474,622,
168,565,746,419,296,040,014,893,815,973,833,467,306,354,142,080,900,726,026,
106,353,298,790,270,976,409,744,719,367,159,214,272,690,705,019,689,225,352,
405,447,260,956,760,187,913,486,470,860,845,074,273,744,539,497,515,729,905,
773,998,469,790,534,606,523,526,897,571,648,872,576,988,296,062,727,428,824,
979,728,759,288,587,646,830,999,199,302,149,493,182,777,222,537,184,297,158,
583,783,626,512,210,368,740,652,444,207,724,014,781,996,437,782,908,904,292,
416,202,548,759,298,316,157,954,629,967,882,566,636,434,373,673,855,044,313,
405,783,689,693,330,701,616,111,643,983,602,240,192,791,342,414,103,243,387,
275,314,978,204,980,129,498,384,696,960,192,830,657,370,818,744,067,335,413,
206,051,716,632,447,421,758,871,044,088,262,270,266,921,586,129,258,672,123,
312,766,047,378,632,375,279,055,823,456,269,887,589,207,906,771,208,209,459,
493,152,052,289,142,331,875,159,045,325,408,326,372,079,122,160,892,528,865,
798,918,615,897,185,090,271,818,631,915,724,010,714,198,097,860,424,549,341,
492,819,311,012,663,255,793,313,908,215,373,060,792,246,038,408,293,868,973,
954,127,004,942,015,031,945,345,548,026,194,480,084,067,295,585,499,221,927,
746,748,786,036,363,153,015,675,851,961,304,740,194,688,115,391,871,853,351,
887,948,701,996,999,095,362,026,319,006,750,611,838,198,177,744,444,980,935,
379,477,886,215,326,061,319,510,955,542,399,407,355,986,576,072,474,951,143,
677,895,790,582,203,992,002,261,938,336,393,412,890,064,527,599,545,530,893,
632,693,239,628,367,169,628,069,550,124,101,068,963,910,494,719,567,186,584,
191,109,137,968,442,519,903,282,430,097,495,580,054,110,982,229,024,859,427,
664,890,168,401,952,356,432,752,683,735,280,678,004,186,661,063,181,621,215,
131,833,825,484,150,894,772,756,129,813,901,002,907,117,818,868,419,411,992,
137,113,399,530,858,989,377,395,661,758,985,932,675,427,531,356,370,298,191,
040,599,621,100,675,005,166,550,131,652,855,294,581,574,704,156,053,095,741,
688,318,112,592,224,445,051,242,319,655,960,249,252,028,504,597,686,775,490,
743,883,229,060,190,717,252,730,544,572,017,755,987,551,885,643,979,195,729,
465,459,046,387,000,365,684,936,622,093,010,155,529,924,057,177,215,087,307,
582,236,675,339,200,656,817,697,667,800,984,676,477,864,737,486,159,767,700,
920,509,349,774,304,987,079,527,503,398,606,638,071,560,590,240,937,260,371,
143,572,799,874,152,102,544,235,846,196,829,251,468,603,142,543,238,577,413,
363,883,742,848,886,828,100,388,635,496,408,151,974,586,227,912,757,377,899,
237,401,000,888,730,483,631,936,725,741,181,941,689,305,039,699,324,758,063,
210,281,059,161,850,436,230,309,953,305,740,418,772,571,812,076,620,222,608,
423,557,355,372,822,899,491,666,817,024,244,534,928,779,705,190,203,239,800,
830,034,841,685,965,576,022,995,587,022,086,043,870,431,192,765,647,710,008,
802,307,814,760,840,912,843,657,302,701,269,418,537,385,993,944,060,544,461,
899,493,907,005,019,419,544,137,810,512,013,773,509,558,884,845,471,022,982,
661,114,949,066,828,431,953,615,141,420,384,237,335,431,059,604,038,804,575,
425,192,647,441,373,833,239,872,885,448,538,160,327,325,676,743,134,947,458,
375,306,344,363,306,159,115,313,938,608,868,181,476,195,163,073,805,528,576,
922,778,490,326,167,721,043,904,306,854,899,744,726,730,773,381,855,713,900,
119,714,313,081,854,158,287,829,309,066,240,037,320,199,101,919,930,670,291,
250,081,338,264,741,460,786,635,962,851,835,921,400,062,660,120,146,465,523,
150,667,695,747,046,717,224,737,016,727,026,294,736,305,260,212,378,809,771,
169,958,735,529,704,088,102,001,929,608,829,908,698,788,471,927,751,663,277,
180,223,323,969,292,783,887,299,061,389,287,002,902,881,561,166,846,874,628,
645,810,176,372,427,974,321,463,780,416,730,454,703,737,559,722,977,203,523,
006,666,914,303,195,208,934,147,994,200,089,739,176,718,798,838,613,948,631,
941,488,707,869,969,051,004,503,253,142,548,371,604,930,922,404,546,466,216,
950,023,085,173,553,100,639,839,702,887,081,569,965,267,302,565,537,720,411,
099,872,804,645,934,861,353,679,321,038,165,306,688,495,249,612,862,168,591,
626,135,024,540,501,539,069,255,071,967,287,567,630,333,165,193,913,410,820,
059,895,140,021,390,531,085,099,333,281,144,387,815,346,766,653,310,260,545,
229,611,834,726,634,055,896,379,353,301,972,361,562,109,336,688,183,227,212,
063,276,932,849,204,996,990,800,277,365,210,307,507,837,615,283,455,206,581,
938,286,262,829,445,274,473,513,573,782,473,179,653,827,342,299,649,855,866,
450,387,942,120,272,186,551,350,983,158,497,555,562,089,802,029,642,491,274,
975,077,601,957,884,900,436,454,641,546,395,159,737,285,183,364,442,704,115,
114,558,802,164,093,198,273,785,733,676,597,327,808,141,860,722,815,534,463,
430,165,821,533,128,944,286,491,979,327,459,020,239,081,047,613,349,043,042,
802,490,208,774,865,908,895,002,834,376,489,496,784,993,989,001,213,806,829,
218,044,085,526,571,453,642,740,364,309,031,289,633,715,994,763,846,367,860,
033,160,048,942,044,954,859,122,754,827,857,396,149,833,398,097,613,126,474,
680,044,720,339,242,734,107,425,312,634,479,660,604,078,270,205,913,821,398,
667,297,410,017,852,405,590,773,190,401,739,330,098,263,304,592,073,113,929,
539,771,127,076,461,051,803,319,559,648,912,749,741,010,152,433,816,324,162,
182,993,582,356,009,166,928,854,526,318,373,179,239,984,591,437,399,984,112,
111,943,074,990,236,473,692,618,874,225,852,742,503,001,729,487,822,633,990,
134,975,235,929,862,013,272,224,547,394,915,435,397,137,371,200,564,501,872,
497,947,555,551,031,787,741,764,737,881,388,353,425,592,155,185,111,238,342,
181,442,426,767,293,197,731,063,599,246,114,952,327,084,211,031,475,776,344,
053,549,562,603,426,807,547,039,348,508,672,506,237,317,286,308,374,597,399,
473,045,158,852,420,801,543,654,837,374,064,318,778,681,967,412,947,938,170,
719,436,384,981,385,046,729,885,497,282,173,539,464,455,006,063,587,082,595,
308,527,858,429,516,718,167,805,601,393,360,868,392,761,893,885,578,851,435,
495,410,737,274,254,591,042,482,785,564,005,352,871,323,040,075,823,755,783,
659,283,506,838,399,562,350,187,443,783,148,053,583,761,693,754,678,075,278,
182,900,157,623,994,570,017,790,937,806,444,688,545,640,770,909,197,485,686,
009,082,701,594,613,929,368,953,254,378,467,260,459,319,031,999,833,631,184,
309,640,836,788,004,094,521,457,567,403,663,268,200,169,322,165,932,842,342,
577,144,066,631,684,853,201,794,036,289,643,467,441,000,610,598,380,178,236,
789,860,348,222,483,510,632,224,145,320,466,294,112,751,349,455,551,452,456,
050,475,173,301,425,605,914,184,627,929,768,660,214,828,248,406,023,590,389,
644,886,563,032,968,987,497,715,762,322,245,566,103,932,525,694,965,372,934,
793,206,746,699,219,676,089,227,870,270,612,018,254,583,376,253,100,766,677,
142,715,664,398,758,187,441,267,477,831,262,658,976,317,430,493,459,566,189,
317,088,150,952,249,363,131,655,912,343,373,658,164,279,894,887,139,492,437,
455,563,727,273,680,213,607,623,336,280,232,583,848,470,846,226,799,351,290,
246,959,921,981,880,753,608,262,382,771,501,223,746,599,541,299,624,969,163,
236,445,727,315,295,530,435,567,019,019,012,761,600,566,727,907,061,857,484,
496,573,858,273,106,101,958,076,407,459,300,819,498,841,206,598,715,437,120,
328,966,665,664,587,714,810,916,306,961,989,685,180,925,708,698,522,978,860,
438,008,368,213,558,994,949,184,528,284,982,879,894,270,888,214,872,617,307,
928,750,822,296,620,504,727,427,449,287,204,122,287,219,171,849,257,519,357,
096,784,829,507,051,883,374,286,256,437,010,213,453,279,663,877,659,790,936,
335,698,742,302,721,266,224,328,945,001,414,502,712,448,753,369,928,113,282,
784,107,402,234,365,525,706,288,180,164,409,469,660,246,818,195,355,710,702,
265,900,979,622,265,081,127,514,829,565,651,235,014,706,362,874,924,520,055,
319,719,942,623,814,524,745,427,079,909,957,032,631,219,870,320,576,207,359,
428,554,087,315,446,867,951,927,471,856,374,887,555,386,078,655,217,205,947,
415,007,479,472,415,391,862,166,752,531,785,875,521,160,577,275,265,573,820,
164,408,124,250,905,165,603,350,575,863,804,081,882,354,103,407,989,631,145,
153,386,820,070,492,377,939,656,656,148,432,742,245,130,427,144,249,046,550,
022,980,441,433,096,905,652,658,099,210,711,274,148,098,546,768,140,296,340,
423,837,868,332,043,876,560,757,808,638,836,067,854,006,756,572,847,876,514,
334,898,833,735,142,328,535,462,085,789,078,455,834,135,808,260,356,011,132,
163,979,006,200,838,417,605,944,977,437,783,912,538,587,081,643,170,308,427,
621,936,553,400,524,677,631,000,942,793,172,538,598,057,267,726,139,031,532,
366,740,455,448,324,138,053,580,020,467,883,701,337,129,977,319,689,503,490,
782,079,155,135,301,046,518,934,849,151,122,154,786,429,552,561,340,536,141,
671,108,686,877,552,977,360,736,205,362,340,714,203,781,691,559,358,966,824,
338,279,277,041,586,540,923,531,070,191,367,427,294,836,678,722,712,679,999,
330,607,501,657,339,235,449,500,181,416,185,883,140,554,594,147,205,874,121,
583,114,461,118,197,450,714,843,094,220,236,955,691,438,677,730,045,074,359,
480,596,406,211,441,328,931,204,108,781,652,136,376,072,018,390,284,352,616,
174,582,173,059,205,638,780,996,966,067,503,455,201,813,564,414,673,819,277,
394,910,831,750,694,996,348,081,272,214,684,014,023,530,365,621,234,251,164,
547,793,966,247,867,056,493,153,887,320,603,493,797,999,552,866,795,084,397,
567,274,742,738,331,846,080,216,456,019,031,920,741,567,371,590,812,583,135,
282,155,208,746,746,917,136,990,164,648,870,246,568,482,621,836,019,639,423,
448,904,822,033,013,882,399,897,255,934,340,742,484,184,295,173,251,261,899,
632,395,612,127,376,821,885,513,219,266,829,182,808,993,709,807,114,277,234,
365,430,046,901,695,004,486,220,163,078,819,853,653,640,685,957,278,672,184,
516,959,553,999,719,023,465,189,015,859,700,723,164,377,485,234,412,314,399,
793,753,077,773,978,925,551,509,606,314,300,174,633,250,355,177,683,098,392,
890,047,925,921,312,807,394,430,740,832,917,597,599,504,450,086,018,982,764,
232,525,830,381,644,395,936,094,041,571,419,890,144,022,420,660,864,992,392,
899,287,778,809,173,255,911,788,923,470,189,211,815,545,053,681,341,556,312,
909,579,473,484,993,259,886,431,873,949,467,878,436,140,422,639,969,143,547,
797,237,117,208,927,732,974,749,269,484,979,778,467,121,941,165,344,566,645,
387,482,737,927,139,366,557,094,342,871,594,949,910,828,686,751,496,603,567,
859,488,351,873,084,215,742,297,252,002,408,949,195,658,397,885,468,072,666,
920,986,820,592,031,341,237,782,540,750,461,886,341,037,939,987,070,451,750,
997,305,219,682,313,499,453,554,745,756,293,622,857,803,361,805,499,716,917,
748,874,553,001,100,373,231,872,062,653,898,378,307,623,284,172,970,875,361,
096,420,379,713,820,268,205,859,217,494,933,249,701,091,168,148,602,538,243,
240,467,509,694,706,343,784,461,538,159,665,002,300,468,844,996,500,342,739,
107,342,851,720,246,629,962,158,559,542,226,849,983,363,532,112,508,287,130,
339,239,836,276,663,821,518,818,916,168,326,106,060,657,966,654,191,284,383,
557,056,203,706,328,197,242,936,735,093,907,259,643,087,144,101,389,166,185,
759,284,829,244,555,501,477,428,086,519,708,696,804,973,419,551,006,841,194,
405,040,325,275,586,262,091,457,308,508,330,374,052,396,979,320,527,483,837,
520,933,471,250,430,588,729,091,585,772,546,958,834,215,908,378,884,800,212,
426,431,246,827,654,788,187,353,127,665,006,466,834,129,503,196,529,383,920,
385,771,711,832,015,544,393,442,055,046,570,767,204,988,443,060,745,906,309,
411,516,283,860,340,102,209,052,578,210,140,123,292,973,219,442,381,676,497,
385,217,383,335,945,246,090,996,023,783,226,844,242,695,103,395,617,349,155,
672,327,862,555,721,355,621,861,338,350,825,051,054,639,230,387,088,298,850,
925,167,001,303,299,267,244,188,658,632,093,638,007,013,389,509,592,099,587,
856,925,957,567,011,370,790,281,795,628,843,557,654,633,224,813,646,119,711,
383,515,043,795,419,669,932,181,081,754,040,235,697,681,634,007,057,045,120,
310,025,714,083,156,619,172,857,477,256,933,535,174,966,207,884,491,075,926,
902,070,467,581,566,716,724,337,112,071,014,108,631,265,699,728,869,537,375,
817,016,367,821,380,362,313,867,826,720,433,566,135,719,922,670,985,719,314,
224,804,843,232,010,821,776,078,636,744,705,588,869,368,457,515,757,922,987,
189,400,110,545,401,018,638,048,230,935,459,410,398,708,587,705,464,821,316,
171,359,382,748,257,825,598,183,229,078,965,825,880,751,742,328,602,790,087,
163,627,776,618,975,774,608,028,784,803,648,201,479,044,473,871,135,167,617,
402,050,219,821,428,625,954,120,686,897,273,033,104,131,667,958,682,221,150,
638,276,658,380,391,919,666,169,753,145,589,494,846,101,817,203,351,032,543,
691,720,447,111,083,454,424,532,346,087,162,957,398,015,173,372,426,001,290,
152,079,452,994,763,071,467,642,770,928,464,144,158,204,853,905,155,649,211,
178,195,066,223,268,954,319,803,731,352,830,269,359,289,577,310,473,662,697,
193,635,453,630,927,971,235,335,313,028,007,180,607,565,977,326,002,983,396,
910,470,683,705,667,955,756,005,515,292,413,197,310,085,507,603,883,750,729,
428,555,242,423,351,901,530,692,865,829,670,393,560,793,578,841,178,477,592,
187,592,999,780,397,661,425,893,922,242,273,929,844,749,283,609,225,110,858,
989,758,251,289,775,244,715,663,430,639,427,156,569,084,821,966,593,833,824,
925,510,697,214,053,262,974,388,526,645,394,919,288,464,720,023,050,623,567,
221,718,912,439,252,323,864,137,591,402,301,405,030,169,500,987,521,410,921,
873,783,059,515,896,839,360,078,544,159,219,417,396,528,223,589,696,757,628,
433,269,697,281,173,785,864,784,298,467,166,328,755,734,983,516,497,614,904,
018,583,431,120,682,135,951,388,916,189,850,990,525,251,250,749,542,919,132,
139,559,550,808,872,845,577,413,122,416,606,938,786,271,558,382,215,215,668,
328,112,967,191,314,841,940,424,547,428,958,929,341,411,913,408,670,731,712,
959,702,188,939,570,278,649,741,190,174,444,205,674,705,591,364,266,876,337,
963,127,058,541,045,065,043,890,166,753,927,763,534,869,228,867,837,588,674,
873,351,864,909,167,711,781,750,890,579,719,657,746,072,890,022,281,903,964,
578,024,462,637,308,170,810,888,193,336,742,344,662,635,236,952,257,772,907,
961,584,591,685,491,109,596,262,666,042,717,896,950,924,121,000,062,552,949,
849,128,850,953,548,423,613,243,086,232,319,681,621,247,204,766,850,144,017,
538,176,156,258,716,265,565,118,457,604,919,295,024,518,628,709,591,187,760,
089,391,340,627,861,858,181,666,723,688,219,262,369,392,945,288,207,331,468,
346,407,603,774,490,208,978,633,803,790,458,038,637,700,016,981,344,772,079,
352,450,800,235,233,011,673,417,268,397,942,054,531,860,978,508,312,583,845,
043,947,579,705,376,256,050,343,804,835,006,060,762,699,649,323,739,120,754,
559,700,524,110,060,664,075,313,367,734,634,038,269,702,669,544,798,900,477,
541,122,428,384,003,974,057,323,936,999,598,885,460,700,703,934,357,754,661,
583,581,338,278,546,986,164,438,923,409,362,713,784,447,961,451,486,709,841,
804,709,723,899,185,912,488,785,846,667,232,652,422,213,276,637,861,368,060,
103,894,813,976,427,772,891,464,749,739,157,439,536,718,225,245,769,585,629,
983,400,118,512,463,982,994,472,625,124,478,741,484,291,794,391,472,689,202,
067,849,459,242,762,761,833,420,128,104,709,331,418,711,314,162,188,351,842,
999,416,178,680,417,924,933,674,760,873,444,852,507,853,185,641,855,196,004,
577,155,094,797,204,002,264,425,206,669,565,227,441,947,961,570,491,751,991,
702,089,964,628,912,826,337,963,741,870,673,350,567,131,521,007,067,953,210,
928,050,198,561,783,378,525,770,551,066,584,567,241,300,547,683,110,076,665,
501,220,214,901,206,285,310,732,147,752,590,568,928,963,895,804,526,357,087,
487,769,906,587,091,549,450,227,711,493,522,299,486,143,787,065,255,339,753,
344,410,686,293,219,822,046,785,134,298,589,793,935,030,659,573,954,284,715,
703,271,775,995,522,994,808,686,325,187,190,522,697,510,072,555,923,179,596,
319,206,099,777,473,774,064,787,609,445,260,735,885,632,194,726,978,994,438,
682,638,159,201,524,914,619,998,946,124,650,543,484,498,462,706,227,761,612,
749,675,672,267,015,299,767,455,708,851,564,896,750,221,704,876,629,273,469,
938,426,124,796,373,136,289,494,925,961,825,111,994,638,660,198,290,590,860,
391,279,961,608,456,716,264,987,969,724,848,109,231,296,632,538,803,314,031,
780,867,506,729,353,618,652,239,805,697,610,991,070,758,043,893,435,827,414,
269,568,008,374,623,267,347,142,395,077,602,044,491,671,698,299,828,023,785,
481,186,946,504,007,865,431,960,472,441,194,525,511,717,097,213,839,137,959,
350,030,959,007,456,308,386,246,414,645,662,733,966,873,226,405,689,224,820,
087,258,368,973,818,232,139,439,094,450,973,036,569,546,365,660,522,739,678,
140,421,515,438,693,971,142,006,610,010,754,127,554,414,749,535,328,476,054,
170,449,782,128,247,180,410,874,466,116,352,859,888,008,764,576,615,526,452,
605,640,650,400,822,270,198,814,015,297,148,545,622,534,470,650,255,307,816,
684,538,698,758,941,933,504,249,389,343,716,596,850,226,290,381,999,634,600,
100,939,482,987,347,298,891,799,911,419,784,923,162,111,996,863,541,760,504,
480,961,370,744,106,444,480,529,287,683,313,303,813,444,360,434,922,067,902,
553,527,448,433,478,095,847,476,829,878,777,033,621,748,884,946,113,026,164,
394,299,091,450,903,801,196,843,505,716,278,475,483,856,589,043,275,405,861,
607,507,297,032,347,081,562,474,210,567,504,719,830,021,624,125,452,758,061,
746,631,797,460,489,435,140,002,515,951,885,626,135,193,536,294,263,457,752,
710,798,940,750,308,250,992,823,870,234,247,909,443,332,194,477,116,781,116,
622,258,688,282,777,653,553,283,870,790,629,347,982,411,515,444,524,530,843,
170,417,630,154,701,976,693,428,221,113,310,165,910,991,149,806,771,444,716,
558,055,084,856,059,925,927,790,934,467,126,598,776,620,416,427,672,262,797,
812,710,445,021,205,521,608,010,140,570,208,966,193,418,688,288,838,483,120,
610,593,452,593,475,283,756,992,183,190,341,093,347,329,145,396,557,830,422,
422,826,282,751,689,236,831,079,531,190,129,726,182,909,587,135,240,087,952,
397,385,855,545,521,778,746,390,195,064,305,555,254,244,240,016,142,622,048,
778,693,161,033,286,677,963,412,920,548,870,388,987,375,434,584,534,456,600,
986,627,512,435,106,147,671,117,886,723,931,561,976,003,272,018,862,483,568,
824,148,667,900,965,755,994,964,987,130,321,166,023,203,078,069,990,171,713,
881,009,986,066,974,159,889,573,591,918,425,797,781,820,573,918,948,226,491,
688,714,082,479,059,550,820,846,446,325,250,362,714,308,248,915,693,627,760,
318,944,411,384,306,653,641,305,379,377,652,985,013,455,407,024,325,498,310,
020,024,794,490,922,969,062,313,572,711,844,274,420,673,906,020,754,677,623,
088,544,810,545,236,280,168,947,019,710,837,526,396,289,169,511,159,592,955,
647,133,700,135,644,685,603,737,425,634,072,618,943,612,513,237,074,558,845,
491,065,753,237,908,856,056,917,447,150,796,232,548,311,450,911,038,650,000,
233,954,132,915,380,307,733,806,707,008,634,960,853,486,909,047,432,011,977,
930,982,128,983,441,399,621,685,230,744,625,098,795,299,149,285,818,127,135,
325,266,161,793,601,395,541,325,213,636,965,432,809,418,006,219,665,769,879,
758,848,198,804,138,794,365,816,596,085,842,813,641,434,644,627,425,023,642,
554,192,302,423,305,016,939,512,817,597,538,440,124,414,773,881,558,705,259,
421,968,553,369,832,049,872,192,524,451,670,276,015,577,737,391,658,673,597,
171,350,275,458,352,703,021,322,123,904,526,421,665,790,442,358,850,867,890,
844,247,607,426,197,560,692,371,066,574,636,802,667,612,155,059,860,121,683,
371,663,443,944,356,047,230,612,579,849,508,490,547,685,807,149,209,438,291,
412,123,216,587,353,641,779,182,115,202,267,948,110,753,093,266,708,030,666,
026,995,374,385,556,571,080,664,000,613,668,233,044,554,924,074,765,463,149,
776,590,228,279,164,453,774,312,989,192,703,132,882,695,688,562,524,551,483,
453,733,523,047,366,357,293,303,879,130,655,510,854,883,256,947,622,124,463,
924,566,640,403,674,549,618,625,307,949,662,733,494,157,124,047,750,692,970,
614,379,065,542,920,879,489,331,812,100,800,849,914,780,780,365,517,239,046,
113,467,290,216,827,469,882,720,196,082,866,962,646,556,458,542,767,040,778,
765,631,045,850,166,932,470,918,354,768,903,043,216,034,184,489,638,834,298,
574,808,143,181,641,364,765,368,915,904,950,630,541,983,793,610,020,004,659,
608,568,117,451,332,770,078,579,985,192,919,020,275,959,331,849,347,572,372,
740,779,803,926,978,938,171,094,063,673,742,784,234,836,156,138,250,448,769,
076,166,766,099,741,650,985,457,698,107,166,006,828,352,096,705,156,539,894,
365,505,377,804,847,649,484,884,871,701,715,123,443,592,382,716,426,563,924,
031,491,581,017,716,680,389,205,765,374,574,759,765,757,779,043,032,582,106,
631,181,926,568,011,351,257,829,224,589,667,853,304,838,364,391,840,188,234,
829,621,247,242,868,120,553,916,287,270,444,554,510,194,702,709,513,062,040,
183,756,022,418,120,862,456,661,901,208,293,730,833,602,073,586,486,737,560,
547,945,726,621,624,855,028,255,540,385,558,066,039,058,291,557,863,073,627,
313,348,180,810,232,399,346,937,891,071,639,987,683,944,403,646,587,932,378,
151,281,996,393,620,809,357,866,166,448,680,582,262,156,384,630,482,384,740,
541,710,736,860,060,907,238,868,632,230,427,946,842,836,616,374,544,389,973,
724,379,027,444,447,130,161,569,177,604,556,637,628,762,848,248,296,497,129,
913,788,054,898,740,708,972,415,681,782,588,220,318,378,379,141,774,397,935,
797,069,143,842,551,831,363,311,359,270,046,402,584,346,572,515,852,711,303,
727,059,005,166,843,290,275,286,676,844,589,712,811,224,503,641,202,594,995,
281,524,514,277,509,706,020,928,217,061,653,661,991,236,361,423,157,079,865,
054,717,618,141,226,868,206,417,331,362,872,030,826,847,346,551,473,891,166,
969,878,961,607,253,271,844,912,741,318,149,426,967,802,000,880,470,519,891,
032,901,220,779,031,667,036,658,870,295,597,433,740,511,674,888,157,465,712,
726,405,816,845,538,037,706,229,021,850,161,389,182,978,796,310,593,117,100,
022,535,689,952,559,066,225,295,817,531,630,550,070,885,112,272,599,210,419,
313,734,217,956,646,746,532,775,324,158,193,731,886,050,859,780,953,341,297,
319,485,561,871,237,667,489,251,137,998,409,062,615,290,668,689,436,058,900,
660,852,282,723,284,706,893,381,887,780,752,822,151,375,659,782,137,460,284,
487,614,491,162,768,036,926,429,758,371,071,096,038,813,232,054,968,457,889,
245,143,437,226,184,674,785,350,854,027,337,668,712,617,200,791,728,716,894,
338,869,054,678,802,774,484,947,959,603,444,143,768,277,973,877,219,660,463,
206,222,745,472,964,226,680,734,724,712,452,356,299,524,809,515,141,547,438,
863,218,802,609,218,579,903,796,787,100,776,618,795,618,163,347,454,151,351,
858,180,245,975,951,913,323,509,249,737,945,574,739,445,003,631,846,677,610,
016,046,947,540,505,996,793,585,095,616,314,573,178,185,195,237,196,348,905,
705,062,324,814,170,688,219,857,076,498,568,763,954,087,512,937,470,607,084,
259,080,604,276,478,904,492,704,067,548,634,101,548,860,311,012,922,892,808,
948,547,531,752,767,121,447,303,349,068,753,099,719,708,702,283,872,115,028,
569,491,984,620,825,303,130,460,055,991,110,078,927,557,538,374,583,418,771,
419,192,305,209,021,925,548,875,964,232,521,766,888,364,654,339,995,730,021,
914,003,999,526,443,843,958,072,879,525,199,389,714,561,239,869,479,703,853,
401,151,535,284,101,127,954,976,319,261,956,484,245,754,181,033,473,109,695,
297,122,026,957,955,220,644,763,267,266,241,340,490,901,612,823,241,212,525,
634,390,193,058,287,852,749,322,678,574,331,846,720,079,827,813,548,013,372,
867,333,464,739,828,410,002,865,421,673,016,107,867,989,801,598,464,969,410,
610,032,641,284,251,398,993,819,336,651,445,412,111,338,844,434,074,051,602,
143,085,557,077,690,584,055,475,708,743,088,068,692,465,038,126,837,449,022,
830,813,545,173,012,427,425,864,322,984,226,207,304,978,151,109,164,177,170,
090,666,664,566,857,648,372,720,225,301,683,291,878,645,473,198,826,142,140,
124,317,990,263,587,180,738,592,042,105,629,005,241,870,711,242,706,286,270,
844,926,546,379,510,199,287,619,601,097,947,370,016,993,532,498,009,105,955,
150,528,210,968,221,500,210,884,206,600,251,341,028,697,022,135,642,511,164,
914,957,349,565,824,180,816,367,322,989,460,430,646,446,904,614,791,449,216,
393,423,625,927,749,112,034,970,423,785,074,324,144,519,183,520,618,471,183,
657,515,608,655,434,599,428,637,417,903,961,893,868,269,098,239,695,441,218,
626,115,913,497,430,432,477,282,020,319,940,655,337,728,717,416,013,323,925,
434,638,755,076,799,727,993,575,484,873,656,413,633,526,760,188,286,462,543,
621,270,336,748,425,075,763,092,388,807,168,389,867,289,214,699,561,320,307,
768,408,530,156,791,620,249,464,978,591,010,111,432,836,713,563,929,701,296,
113,751,851,689,472,650,424,021,228,580,406,155,252,950,137,499,461,146,787,
317,334,824,970,884,816,783,740,601,824,013,056,148,013,941,811,301,059,434,
243,145,108,291,840,483,137,884,460,144,276,320,495,392,297,836,966,005,563,
913,665,088,472,944,862,912,699,377,490,205,383,566,015,418,919,667,782,732,
146,129,041,020,672,617,045,840,342,067,217,193,723,581,954,764,683,963,664,
276,197,980,528,693,542,137,223,198,337,947,617,221,835,031,421,652,009,771,
168,297,674,740,738,931,929,634,707,951,235,962,965,692,774,118,175,876,476,
581,439,650,668,180,412,733,892,236,928,347,756,974,460,090,397,554,588,046,
796,592,782,032,852,138,413,829,522,781,905,536,575,989,337,507,974,546,892,
755,311,882,716,696,790,159,447,817,378,678,992,489,387,448,796,068,038,488,
698,824,716,679,819,621,014,492,627,599,670,649,502,643,215,469,492,855,147,
937,200,816,022,145,761,767,149,735,453,653,723,360,613,169,768,544,262,954,
893,348,160,065,406,284,261,860,227,865,920,949,238,875,923,815,437,145,064,
665,162,998,506,397,391,177,341,549,234,344,708,386,160,721,100,124,529,326,
713,516,186,560,296,599,446,607,320,893,175,150,612,154,685,466,041,910,616,
297,012,619,434,103,339,400,993,804,705,010,081,749,381,042,764,527,965,908,
745,183,004,083,179,267,451,208,952,605,362,356,165,786,635,609,779,053,615,
199,019,207,793,163,914,909,144,086,185,656,077,383,605,353,839,545,560,736,
019,021,267,636,504,285,251,971,369,084,296,010,414,796,992,170,347,358,797,
858,598,090,959,027,980,572,321,034,261,087,406,827,245,451,261,091,939,630,
956,439,171,917,809,207,400,598,829,484,505,634,470,653,353,180,278,208,971,
993,976,091,676,075,288,708,135,689,354,129,541,416,921,625,734,026,406,835,
055,344,800,418,200,378,500,128,914,975,681,808,094,590,060,821,239,999,150,
333,226,973,875,953,848,127,748,259,218,544,017,947,793,347,985,986,995,658,
879,086,493,986,563,316,523,201,938,179,012,244,788,387,138,030,757,883,466,
649,493,257,511,341,533,041,681,514,951,198,556,874,863,972,895,652,225,352,
552,073,946,217,410,148,263,575,434,259,811,856,871,160,618,011,261,356,396,
872,754,917,064,158,118,358,771,769,187,481,676,795,155,997,372,998,447,909,
240,403,402,117,872,166,219,842,177,819,911,085,918,965,916,897,295,318,730,
062,206,485,526,945,086,879,823,969,435,193,568,839,977,588,772,078,138,095,
629,092,259,283,721,197,018,592,185,207,182,790,503,185,857,605,741,880,467,
678,797,350,362,092,193,949,627,534,305,570,368,154,413,268,648,727,983,937,
878,756,067,224,489,862,596,802,886,711,032,764,662,261,121,258,630,205,285,
188,576,887,241,284,141,302,498,188,085,555,631,847,375,985,447,316,979,715,
567,165,395,470,656,554,089,317,222,866,866,951,880,346,880,088,936,277,174,
272,991,475,990,499,769,570,102,743,651,301,961,484,051,097,054,476,858,191,
245,271,475,643,992,624,187,149,330,918,779,739,263,685,823,642,360,751,282,
682,495,956,286,899,998,927,446,053,752,732,661,913,218,845,853,473,661,037,
591,481,683,383,827,701,819,149,369,070,220,055,296,394,377,113,200,562,444,
997,672,542,798,425,100,838,908,093,615,070,359,122,382,912,088,636,286,259,
742,213,283,844,365,789,293,349,871,208,923,911,143,702,198,750,789,658,348,
067,993,698,216,217,388,239,653,367,993,584,294,588,557,654,220,702,561,115,
675,201,379,726,275,724,632,196,250,475,222,249,192,070,817,263,027,475,350,
399,718,941,387,241,415,886,949,534,566,117,964,861,883,955,010,722,408,425,
389,963,836,189,681,324,487,555,852,499,011,872,833,439,123,761,161,929,509,
647,399,796,544,326,579,530,416,829,695,293,236,812,566,399,092,691,801,620,
724,469,936,495,251,427,781,072,909,014,892,916,412,449,107,998,779,069,913,
508,013,275,339,898,950,222,543,175,562,056,102,707,358,455,524,961,238,979,
648,589,750,671,106,682,464,617,106,609,713,529,406,151,844,116,039,509,344,
456,046,636,132,861,694,852,124,969,690,091,931,992,191,063,194,240,322,968,
558,498,756,112,138,683,099,684,109,931,706,812,114,340,934,342,205,774,983,
614,931,595,166,441,878,319,621,217,999,456,467,002,031,276,540,770,130,218,
616,350,309,053,687,219,775,600,288,138,621,225,406,694,647,311,942,275,373,
446,981,053,205,837,295,510,957,809,445,987,037,854,683,276,073,391,500,634,
337,651,399,881,985,201,077,466,236,409,633,099,946,788,515,542,059,563,383,
563,985,523,560,390,338,377,530,848,693,905,256,652,029,890,755,516,194,752,
512,756,092,740,363,738,622,291,449,226,386,852,626,508,956,095,829,939,342,
746,204,051,401,797,307,700,655,914,913,452,896,655,249,900,333,429,006,596,
239,142,523,906,907,746,261,728,294,873,989,159,848,585,316,712,852,616,486,
684,680,048,987,400,566,619,257,435,332,464,381,941,689,633,990,824,015,089,
088,341,677,993,898,286,472,710,706,349,108,322,132,763,429,672,525,856,557,
645,596,873,068,490,458,804,707,927,597,660,941,546,621,630,275,718,000,158,
917,396,799,963,466,868,968,761,385,221,967,568,179,217,166,002,575,438,038,
080,613,146,912,110,834,961,632,168,780,050,079,434,385,902,753,149,469,125,
775,339,844,639,800,281,451,434,952,721,988,956,026,531,338,194,306,814,265,
655,483,918,701,573,936,032,952,869,470,751,198,994,378,749,261,598,985,719,
319,799,096,906,330,901,603,616,457,830,579,383,152,634,409,865,387,523,249,
957,212,037,219,273,575,767,814,686,572,164,472,298,736,678,569,411,031,081,
792,445,243,709,922,683,622,721,131,742,062,222,727,462,111,410,774,073,674,
837,833,619,770,291,838,297,615,913,025,515,236,804,100,480,485,119,772,704,
648,064,558,520,489,413,169,973,600,877,456,613,847,158,975,033,985,894,979,
446,115,849,459,471,835,725,550,578,749,051,359,005,781,712,714,477,650,126,
234,924,723,343,550,666,851,487,635,977,004,254,070,164,145,132,060,770,256,
445,347,208,404,835,335,992,768,846,710,532,371,464,132,041,901,082,622,139,
311,320,003,295,373,703,420,767,521,736,657,828,063,172,308,283,554,161,113,
240,623,425,200,061,966,703,466,611,005,259,770,885,804,295,725,316,066,498,
110,506,192,753,745,180,340,310,085,340,134,359,319,996,620,834,083,317,212,
458,460,086,916,289,714,179,042,935,730,792,966,721,907,092,680,685,143,574,
879,254,403,836,111,896,426,649,808,066,806,081,741,535,616,154,411,112,150,
881,141,763,131,084,319,818,840,077,901,043,609,352,642,026,393,245,477,807,
357,239,542,413,079,388,306,648,979,020,314,839,119,134,119,937,525,101,526,
417,048,115,327,249,684,096,278,417,906,418,233,095,255,110,620,207,125,294,
129,376,164,900,406,812,347,384,559,085,742,469,623,455,684,096,836,049,065,
705,322,385,345,022,406,913,972,680,954,564,805,693,308,405,705,495,769,987,
841,811,125,715,358,477,094,550,065,030,867,290,096,693,182,041,528,902,944,
189,751,690,215,281,856,186,959,573,229,166,695,564,999,938,283,305,872,958,
220,999,516,307,119,329,001,116,189,286,389,887,864,159,525,311,085,466,038,
108,603,024,050,539,041,705,077,121,098,209,978,380,270,136,680,880,663,342,
959,274,826,884,841,507,717,678,495,015,486,492,713,035,920,387,457,785,352,
246,166,923,909,663,612,008,128,267,348,854,596,753,514,778,370,090,119,630,
101,657,934,328,790,360,745,863,065,712,270,188,339,803,307,874,985,749,806,
798,548,674,621,185,130,550,484,657,838,779,360,508,527,675,147,460,537,464,
769,603,688,294,166,772,221,341,402,914,891,859,652,163,708,163,062,802,923,
609,771,025,838,222,623,632,632,088,912,821,248,860,948,409,730,331,257,690,
410,971,106,478,289,296,848,943,426,914,223,714,445,095,831,690,757,013,136,
440,223,493,771,393,695,066,547,038,666,129,048,578,761,646,755,172,831,935,
486,133,960,940,216,435,249,429,118,634,352,239,677,883,581,437,833,087,453,
406,424,144,975,244,600,143,540,333,342,593,872,503,202,962,899,288,318,346,
971,507,750,005,233,961,755,185,349,619,124,764,748,982,425,711,253,505,374,
675,337,011,349,996,579,223,155,031,229,474,886,490,322,237,194,077,905,006,
557,124,293,929,663,113,452,479,260,538,895,402,900,870,508,799,404,752,156,
504,476,486,122,582,921,258,836,140,863,423,867,613,141,448,055,236,642,462,
344,937,268,263,495,617,801,003,154,303,929,349,773,699,233,427,079,907,625,
472,765,151,727,212,866,133,530,608,421,877,955,062,281,955,405,513,429,918,
051,941,861,125,120,357,263,947,522,070,205,818,684,695,975,968,007,049,054,
633,983,919,236,982,644,329,447,570,940,854,760,347,629,920,025,803,671,387,
978,204,720,457,745,541,365,986,714,382,350,762,093,417,253,695,041,067,994,
769,725,575,312,404,181,865,848,795,981,103,534,038,789,533,128,105,865,622,
761,498,141,452,789,408,947,204,614,847,190,101,037,150,158,844,865,781,072,
602,022,712,003,597,603,730,005,155,759,243,534,530,483,794,375,596,165,783,
066,986,176,140,403,006,525,393,402,352,288,951,421,888,182,935,330,459,513,
586,184,593,238,010,776,550,917,228,567,453,847,121,613,991,797,892,185,592,
636,820,379,715,532,977,493,868,144,466,492,090,609,999,988,760,045,203,781,
572,269,748,719,642,266,352,390,377,648,188,832,342,199,537,115,641,232,496,
015,328,526,637,352,660,163,046,880,837,923,944,731,682,314,834,974,778,834,
471,357,557,085,081,064,885,662,592,910,662,780,521,562,468,897,214,582,052,
651,439,089,101,329,289,735,753,179,969,745,490,415,747,285,234,319,643,820,
065,120,529,776,577,138,604,932,466,095,647,318,268,659,307,527,817,079,223,
554,758,005,974,897,615,356,789,954,361,380,635,467,807,631,658,890,011,186,
122,348,355,086,168,775,052,093,350,922,227,339,988,951,704,287,519,698,342,
480,138,582,821,915,252,922,096,185,889,850,924,198,850,724,912,741,220,890,
998,728,588,047,760,121,283,966,999,888,680,157,888,492,651,030,459,336,064,
984,453,700,134,885,643,384,283,600,457,154,548,003,675,956,912,084,788,071,
770,201,643,479,672,723,100,110,123,289,280,780,807,994,651,122,496,482,627,
256,450,771,516,749,644,765,464,821,238,686,051,740,650,274,118,941,309,430,
819,989,414,611,813,823,510,235,521,797,857,531,713,414,650,720,767,650,376,
838,430,380,245,614,270,465,536,553,114,044,299,720,133,290,212,879,975,553,
544,439,784,400,192,627,258,890,970,465,431,202,838,812,891,416,358,730,051,
405,893,823,919,697,841,158,426,506,722,328,971,044,833,908,432,107,432,575,
839,021,543,378,210,855,861,446,010,698,396,847,581,536,608,961,019,109,347,
974,251,198,612,870,303,724,518,124,418,072,470,965,882,856,146,311,104,688,
656,133,113,711,854,459,969,501,901,647,529,018,065,095,921,962,467,165,176,
392,896,203,156,049,155,364,585,861,993,544,347,471,436,521,144,183,751,927,
412,195,156,487,061,855,423,631,338,158,289,991,682,383,653,822,085,535,886,
466,020,606,074,562,600,530,750,863,177,764,151,948,986,399,457,103,532,835,
474,508,113,635,473,948,265,421,263,045,421,152,386,438,384,292,933,483,981,
128,007,904,089,032,347,663,114,014,570,353,837,843,405,430,150,001,795,852,
031,928,958,727,682,982,212,374,804,506,584,840,853,776,547,218,299,594,142,
394,188,063,050,189,729,777,395,694,885,643,446,944,785,327,413,426,618,497,
421,522,302,743,357,118,728,297,993,759,623,856,294,676,742,397,925,381,433,
072,839,196,247,969,535,466,968,435,846,224,957,773,571,768,272,556,047,764,
278,095,738,818,702,455,271,329,656,851,099,038,018,570,423,938,284,592,034,
681,665,463,607,790,654,170,020,909,043,512,451,702,119,599,777,003,811,354,
428,062,804,047,436,373,662,439,395,369,990,367,059,607,042,213,056,308,918,
414,771,903,211,193,660,023,003,618,028,810,837,360,416,138,490,084,054,289,
130,340,077,077,726,184,436,086,783,451,632,972,474,208,963,708,979,999,935,
553,710,279,928,882,238,341,396,680,054,940,939,000,145,621,238,079,081,604,
495,743,220,033,307,348,658,147,245,961,455,163,747,415,619,653,106,631,682,
202,404,007,832,775,799,606,614,916,931,691,055,059,430,285,110,038,601,086,
324,319,970,726,395,705,145,856,514,273,820,609,553,202,400,400,144,264,531,
550,149,793,558,984,082,131,552,012,999,167,477,035,787,732,619,879,334,190,
973,568,358,471,064,440,932,744,947,938,197,931,165,723,717,685,709,068,012,
271,122,568,883,691,237,320,530,122,801,976,043,718,914,704,108,678,849,681,
452,408,958,671,861,289,018,069,561,698,228,346,726,390,375,644,113,463,820,
551,305,493,294,555,180,249,269,305,790,856,525,380,597,039,902,327,714,698,
804,520,422,888,334,754,058,714,811,641,041,415,574,722,495,616,520,444,927,
761,852,088,626,218,981,771,410,914,665,615,131,632,807,029,967,496,435,511,
733,116,348,483,923,562,322,127,885,181,933,137,499,099,375,663,435,276,365,
819,357,222,480,846,050,625,787,643,811,627,301,749,786,006,859,041,197,313,
626,632,901,841,795,435,453,041,008,166,846,215,595,262,630,004,387,208,330,
760,691,127,650,239,317,782,677,359,464,248,074,116,868,974,833,215,623,524,
255,717,770,680,534,372,464,742,728,328,484,639,887,359,491,406,568,632,815,
766,769,569,309,473,020,646,945,682,871,002,361,751,170,001,158,169,928,775,
362,601,216,563,759,175,897,083,786,850,052,870,058,014,147,251,392,849,023,
791,616,091,996,696,199,971,955,685,749,426,479,967,863,303,518,987,516,907,
791,885,508,180,867,078,731,605,876,009,952,902,118,515,955,377,611,081,416,
225,471,811,971,474,970,742,986,791,373,363,485,598,580,262,933,499,365,378,
112,123,285,770,222,791,688,008,812,651,179,112,212,725,388,990,328,778,169,
999,563,035,229,200,496,375,834,198,664,282,598,794,335,717,717,369,306,818,
564,128,310,008,404,310,464,215,954,310,481,970,190,009,150,520,918,294,325,
169,410,844,857,045,536,096,061,098,102,864,529,484,591,601,086,586,230,843,
076,266,372,840,144,662,682,760,416,858,568,639,492,998,478,157,133,492,538,
621,533,988,569,217,379,436,757,481,372,801,033,355,921,429,736,558,066,083,
012,079,389,771,148,689,476,419,558,859,800,875,907,356,944,388,719,568,752,
303,669,500,329,293,320,918,510,951,082,149,226,012,060,063,435,881,482,502,
481,744,317,757,388,703,055,037,140,081,067,991,480,521,884,454,679,095,123,
817,016,890,182,253,564,031,955,908,044,191,685,694,911,576,632,820,536,631,
041,402,177,899,302,743,759,039,397,730,003,293,093,554,311,494,107,360,556,
544,563,781,281,565,718,874,557,527,285,884,615,840,692,251,316,502,761,511,
980,290,459,944,706,326,446,263,604,486,104,491,012,975,979,292,583,914,111,
479,137,242,734,421,269,626,401,510,008,403,213,426,091,483,768,749,663,854,
264,206,146,164,614,517,121,573,526,157,865,887,904,592,909,442,162,609,629,
435,137,870,164,425,952,538,672,930,393,024,184,520,748,355,526,761,933,977,
080,562,541,480,022,471,282,143,769,239,450,756,905,087,778,633,436,167,628,
285,318,761,226,289,134,478,108,471,586,067,578,116,438,177,150,907,711,393,
500,151,183,594,688,781,493,432,347,980,947,784,498,047,975,321,790,500,376,
042,781,812,109,839,041,270,416,691,628,013,203,886,850,284,965,748,192,535,
424,186,711,102,827,329,736,800,589,157,687,609,265,390,290,799,916,730,253,
362,949,427,811,783,538,686,266,160,162,301,935,784,860,768,237,735,406,452,
143,058,029,969,985,603,137,198,066,436,540,756,425,584,134,933,040,221,612,
801,392,229,413,962,204,514,795,665,972,312,854,939,840,508,803,066,347,835,
142,418,756,946,476,894,853,724,528,337,068,150,329,618,441,040,228,635,225,
872,401,555,005,616,449,106,100,397,631,670,628,741,952,755,885,548,056,575,
339,955,959,040,868,628,860,204,816,896,450,329,522,111,537,861,123,617,457,
585,313,834,743,786,694,012,508,836,923,037,337,037,826,483,728,604,035,269,
730,285,398,945,940,474,217,562,952,184,431,217,032,256,105,784,545,539,121,
065,069,923,727,644,919,001,032,410,571,658,868,094,853,257,658,958,593,235,
528,298,102,821,697,175,788,508,565,068,769,915,966,214,732,501,826,673,850,
146,860,125,337,198,676,076,541,868,412,972,912,045,946,715,976,578,271,223,
694,451,586,414,913,551,729,434,013,075,304,085,712,936,108,286,343,276,655,
400,184,559,733,866,309,202,116,882,404,298,555,978,077,505,346,674,843,250,
043,818,222,970,989,809,995,695,267,516,290,978,669,771,043,370,600,966,309,
966,922,641,394,481,136,814,992,371,534,385,406,740,010,768,582,302,680,585,
270,030,856,638,218,280,987,707,426,500,691,403,549,130,803,530,791,235,685,
783,237,346,280,693,037,165,469,052,627,838,383,160,544,316,183,528,104,884,
799,214,606,327,403,171,754,945,385,923,306,241,974,012,024,215,265,026,801,
773,932,981,895,314,219,750,239,848,903,503,480,332,092,749,530,020,626,972,
021,012,827,842,676,906,368,445,325,924,487,933,383,079,234,001,801,637,826,
740,026,663,287,726,350,863,448,964,084,499,384,001,780,776,591,957,464,871,
276,197,619,899,213,600,169,253,902,449,168,535,079,694,932,247,031,609,246,
174,987,439,743,245,993,080,349,255,839,971,028,890,465,438,982,690,654,132,
690,694,014,127,355,045,812,770,799,994,498,451,465,674,113,780,305,492,165,
764,996,965,868,150,755,748,502,614,408,575,494,669,702,872,779,385,610,443,
920,544,128,729,970,679,127,998,255,274,137,161,118,892,728,498,383,031,838,
344,263,302,314,771,706,662,925,968,840,439,826,449,310,693,221,837,604,079,
503,978,952,715,062,117,808,522,103,212,167,045,184,706,345,961,529,945,148,
089,068,428,356,796,553,619,844,098,681,527,568,656,123,815,954,656,965,466,
099,184,031,285,871,405,103,208,553,052,118,154,900,879,776,670,060,796,331,
290,185,313,348,858,223,158,909,778,432,747,670,548,940,895,879,848,918,335,
693,793,467,746,722,788,199,987,411,376,273,594,152,086,438,593,773,045,345,
236,178,607,448,954,090,842,514,541,914,909,509,048,147,110,772,422,632,984,
625,600,725,016,050,615,510,903,865,011,253,681,039,361,599,364,172,576,672,
275,679,412,033,110,431,853,043,963,397,999,726,667,656,333,092,063,045,357,
027,095,170,515,344,409,599,437,101,320,026,229,405,088,001,128,638,484,659,
518,669,436,299,313,710,582,815,335,105,579,318,131,148,104,405,502,922,730,
710,259,426,267,285,678,323,632,470,045,914,438,165,296,265,615,065,916,036,
914,412,902,765,067,058,869,719,292,493,922,121,156,667,784,029,836,127,071,
164,709,835,529,381,015,161,478,608,306,728,246,172,947,009,236,162,875,576,
871,678,388,605,579,401,710,418,966,148,083,495,125,092,319,467,156,667,915,
928,174,286,804,259,911,108,423,791,181,787,270,905,266,857,495,527,058,252,
937,960,035,558,949,719,656,658,732,716,846,865,469,492,198,293,325,901,561,
269,009,725,007,285,294,206,038,873,863,091,388,476,193,070,339,136,050,978,
026,780,796,245,701,480,091,947,982,425,887,000,271,484,024,067,430,498,639,
892,584,712,529,806,779,267,716,166,992,887,616,063,129,322,960,011,222,463,
953,920,292,755,109,241,337,678,333,667,242,472,876,176,856,630,699,156,980,
908,422,557,804,717,716,174,662,525,666,480,982,016,571,367,744,512,365,787,
408,446,598,396,575,795,791,011,378,955,364,175,605,467,811,259,901,794,911,
613,734,461,344,893,587,685,290,608,590,591,584,333,064,282,369,415,908,010,
267,004,115,404,569,606,063,542,073,068,905,266,999,371,892,411,214,302,588,
755,250,351,475,921,552,166,194,501,346,968,548,003,673,026,517,311,094,884,
255,445,268,734,611,334,701,824,215,666,469,925,128,803,967,830,612,369,777,
274,289,757,305,817,130,074,993,075,552,207,674,367,972,867,413,273,560,863,
819,416,581,454,542,833,908,414,988,795,340,054,803,362,247,210,935,536,388,
499,006,037,120,466,086,907,865,484,538,845,665,401,085,917,722,905,307,784,
132,644,816,147,752,635,530,716,719,214,494,602,537,209,803,567,379,530,400,
567,197,034,251,621,544,155,418,334,267,976,552,242,946,056,854,990,788,502,
940,073,656,699,407,094,933,386,581,345,265,577,782,971,943,821,727,127,638,
079,358,239,799,501,566,072,860,321,071,795,672,980,300,856,084,580,043,861,
727,845,943,192,321,724,006,076,305,834,694,899,054,717,490,756,174,101,673,
424,135,302,156,820,466,694,221,129,709,635,266,182,035,189,092,488,294,583,
695,495,144,979,515,343,778,324,527,834,414,038,382,655,600,305,505,172,548,
082,751,942,203,215,319,389,483,666,006,424,069,007,579,245,995,965,451,493,
204,060,384,456,382,079,441,284,131,298,497,747,438,605,481,714,259,884,371,
089,732,219,849,278,197,082,348,823,833,575,642,753,503,459,847,456,659,251,
007,087,004,353,780,634,774,798,964,161,486,080,564,521,493,670,065,643,697,
636,911,131,692,970,083,966,486,543,040,686,574,655,537,547,539,642,779,102,
290,423,829,585,781,782,121,940,491,981,986,822,494,720,758,848,707,507,893,
762,147,078,655,226,641,998,208,144,787,468,671,497,320,688,761,888,995,012,
832,100,845,428,441,310,072,263,809,206,938,782,190,567,893,690,070,357,436,
496,221,491,573,471,776,511,889,286,096,351,255,251,408,407,701,282,422,969,
810,821,282,839,400,346,808,997,337,829,287,831,001,335,913,179,392,256,381,
855,874,466,742,269,673,627,149,885,776,847,195,422,174,290,638,217,805,770,
214,085,086,644,824,105,323,626,767,717,938,724,098,304,867,807,825,913,216,
101,118,425,670,827,334,638,292,190,452,612,007,168,795,393,025,230,885,823,
252,997,347,131,711,104,655,907,520,192,230,022,818,352,665,895,377,661,394,
395,508,916,280,540,170,467,895,734,054,072,154,649,037,710,348,886,529,602,
117,285,734,418,576,170,320,497,811,185,194,618,910,508,933,285,528,639,509,
519,944,948,817,016,479,762,879,241,800,987,523,264,234,041,497,264,878,401,
131,776,927,213,860,041,367,978,472,751,056,921,494,286,151,098,830,911,660,
235,902,342,907,814,388,606,012,767,769,459,684,879,457,410,665,567,234,342,
948,809,150,681,081,820,244,697,510,098,583,156,614,445,899,097,681,317,793,
279,610,898,192,038,652,348,624,110,984,023,331,462,248,165,241,229,498,236,
674,463,185,700,340,557,572,785,083,233,486,068,403,251,307,757,694,016,534,
717,730,158,457,322,478,212,613,612,922,973,050,986,887,477,792,377,916,250,
182,588,211,180,798,015,634,359,936,181,306,919,993,735,868,271,822,721,615,
048,091,403,367,322,617,745,496,985,808,959,372,080,892,033,040,364,363,633,
042,509,813,087,216,432,167,366,398,142,645,676,357,963,511,712,381,956,553,
833,208,003,480,270,615,723,693,932,467,161,887,824,765,127,562,166,895,099,
502,375,988,348,159,992,119,715,898,639,245,418,005,136,883,190,784,622,897,
825,240,578,011,432,782,205,973,040,364,195,296,719,883,774,936,400,077,786,
936,014,247,136,530,229,365,443,750,488,038,654,691,289,560,238,801,265,409,
097,080,775,590,748,017,930,656,741,852,878,749,487,401,477,512,508,737,813,
451,407,635,016,003,369,837,092,759,127,660,777,359,431,049,577,001,699,175,
671,961,257,281,983,897,255,109,179,025,039,326,373,043,745,815,880,524,182,
031,423,082,940,952,041,249,309,028,584,613,171,093,848,565,714,471,927,548,
776,044,202,673,259,573,044,252,345,199,315,864,717,626,017,900,243,233,271,
157,169,420,597,470,154,473,163,211,149,540,679,547,604,015,878,254,354,602,
635,252,073,712,972,727,274,870,064,441,637,092,369,351,580,719,413,894,870,
279,891,070,183,562,626,868,214,786,134,724,511,048,744,044,368,612,678,823,
955,124,810,543,261,441,618,217,149,736,697,466,629,708,810,066,515,796,210,
465,728,084,730,441,647,034,572,547,836,817,606,426,133,251,800,708,480,957,
020,487,273,498,119,309,405,965,825,604,435,257,203,221,069,838,992,513,121,
211,067,420,305,651,347,536,150,774,315,148,473,180,862,721,623,515,698,314,
623,445,984,825,204,281,672,705,016,578,314,956,543,325,549,451,802,470,567,
349,015,584,943,680,932,770,934,292,938,508,939,072,377,824,317,969,917,109,
123,884,062,393,548,849,331,608,498,060,933,880,788,193,915,363,942,916,033,
210,644,711,822,278,696,953,124,375,770,838,306,437,914,901,376,156,023,471,
234,289,952,883,921,520,462,084,459,493,275,880,444,439,616,442,444,911,087,
431,157,343,593,728,737,312,271,496,202,946,398,486,793,586,978,158,588,243,
891,476,430,563,974,759,562,146,013,928,825,423,062,009,025,142,168,077,619,
887,792,809,708,771,536,392,550,915,768,013,908,644,122,981,047,190,918,821,
219,371,066,605,821,019,783,158,723,559,508,452,723,249,144,626,431,612,946,
346,945,936,659,057,936,400,399,113,819,140,833,019,273,726,651,054,184,643,
155,245,595,342,024,087,436,116,784,431,076,814,262,387,237,405,475,119,945,
340,044,480,023,875,474,563,896,168,693,742,624,301,012,170,874,227,329,509,
246,454,806,127,844,211,230,467,032,618,036,252,104,465,909,299,224,816,227,
753,683,350,896,377,866,066,851,421,160,007,767,860,465,437,330,213,532,836,
302,595,574,199,642,098,867,846,947,860,656,215,039,250,044,019,924,948,999,
804,676,058,413,395,719,960,055,100,870,733,383,876,862,066,686,299,262,015,
167,313,344,306,401,918,965,759,605,497,729,381,416,638,446,151,092,537,386,
770,832,082,468,658,190,114,300,553,041,666,385,290,371,300,357,426,286,504,
294,667,443,285,499,706,008,718,480,016,812,965,213,794,611,612,744,084,191,
315,487,059,189,098,285,417,500,473,324,079,325,617,429,554,735,368,450,217,
546,052,619,521,435,658,733,574,138,640,316,757,832,202,439,484,052,068,605,
978,081,802,840,029,451,415,942,177,958,237,502,874,136,889,401,618,804,848,
773,608,958,237,481,306,713,774,474,217,042,521,260,511,241,121,720,903,272,
369,825,579,255,325,317,424,430,332,042,873,084,475,585,015,319,019,376,076,
883,155,476,263,952,752,238,624,448,810,127,876,221,256,504,567,470,074,186,
912,432,458,711,215,137,649,895,667,747,909,975,123,902,031,130,708,899,936,
839,612,705,575,849,511,347,766,139,785,671,234,183,362,125,021,107,833,484,
943,491,377,503,318,333,026,849,135,430,856,701,565,255,934,190,730,378,239,
031,440,774,486,987,176,227,719,589,932,182,519,819,227,600,974,946,365,927,
788,672,225,669,015,067,829,232,708,299,337,591,626,579,720,854,059,425,598,
249,803,536,651,062,261,648,973,925,335,046,223,493,138,915,539,446,426,992,
551,343,804,204,480,131,872,384,543,088,677,773,526,185,421,250,269,491,216,
979,040,829,426,703,029,498,474,502,805,988,627,476,582,895,533,538,279,659,
570,358,416,526,489,815,873,715,489,905,714,107,035,821,307,684,162,603,343,
306,054,188,023,948,707,176,758,629,500,442,132,723,030,821,898,105,170,213,
218,878,522,970,025,130,155,237,914,703,829,751,174,383,338,437,922,237,739,
761,964,745,520,210,655,374,056,435,947,988,418,863,295,473,155,544,256,782,
549,180,239,223,356,741,352,698,951,743,460,308,863,197,760,325,351,322,129,
137,258,656,580,259,218,846,185,864,530,747,528,765,708,650,947,670,986,082,
809,144,354,932,737,905,494,533,084,381,417,408,724,513,736,341,854,542,761,
624,549,215,542,089,015,496,552,994,067,077,360,103,597,885,579,457,246,915,
792,002,641,803,362,541,888,715,198,299,663,237,646,115,936,107,762,830,738,
660,967,906,116,692,110,279,973,358,388,477,892,776,115,478,566,996,415,864,
136,347,929,683,320,657,209,285,218,777,063,874,760,266,629,414,062,838,702,
125,436,740,232,880,847,662,103,217,272,832,808,266,202,980,155,963,125,467,
009,663,832,390,258,230,377,950,633,420,228,572,346,839,269,557,963,024,944,
300,817,589,305,382,690,977,820,175,454,469,125,593,112,489,881,104,895,363,
761,137,732,679,738,331,262,710,387,739,967,433,381,458,525,170,513,913,734,
862,412,779,669,686,510,107,615,312,521,087,186,630,596,886,695,026,812,542,
760,901,635,359,640,367,635,633,446,634,713,629,132,466,567,660,836,990,405,
756,848,833,350,444,212,453,152,086,365,283,361,948,668,243,090,751,694,084,
035,279,411,056,174,321,800,117,708,254,661,825,850,509,806,887,682,104,640,
126,251,887,451,552,897,234,094,985,701,002,556,028,494,051,369,316,405,796,
255,786,762,352,222,496,594,770,599,864,736,518,192,161,718,063,152,933,521,
887,193,822,711,869,762,045,710,298,797,179,467,975,480,618,797,795,909,018,
867,754,882,584,264,870,286,701,776,202,436,825,102,742,312,674,721,027,813,
898,539,578,351,235,724,076,717,137,221,514,991,529,328,027,941,280,222,422,
858,568,346,212,588,519,728,525,260,453,770,889,728,470,754,450,456,586,830,
842,016,584,741,745,237,282,621,011,504,640,634,624,021,135,985,261,471,153,
030,501,906,912,842,959,607,387,775,190,211,578,563,991,409,515,595,598,489,
197,919,041,161,517,430,963,139,641,900,186,893,019,440,652,621,018,354,422,
232,518,883,725,949,894,386,652,422,921,504,411,202,111,468,601,592,850,373,
623,241,699,674,631,673,849,305,639,101,373,961,711,053,208,544,895,952,568,
804,891,366,675,269,632,103,130,183,209,729,654,321,740,455,031,757,789,173,
708,019,680,153,609,238,690,363,597,780,730,492,111,763,398,062,523,052,711,
364,778,863,267,261,727,798,300,586,096,192,345,209,297,506,968,990,313,025,
910,015,601,733,591,166,546,356,920,210,370,243,119,789,661,689,495,442,853,
693,384,608,309,682,046,602,862,795,297,649,214,907,447,512,989,150,676,736,
227,547,325,464,380,106,204,763,337,871,803,318,954,558,732,388,626,594,456,
344,718,729,816,786,227,237,299,126,226,468,242,886,355,239,982,600,859,383,
554,775,287,320,247,602,399,177,766,713,795,903,382,708,355,822,575,519,343,
680,969,569,444,876,283,654,050,561,645,269,187,134,072,886,510,854,368,357,
762,436,677,035,166,988,982,245,263,185,234,766,566,149,146,724,947,619,344,
723,482,027,119,053,959,154,343,018,295,639,195,191,495,419,647,085,205,984,
283,589,095,180,175,473,425,348,080,206,511,273,539,319,692,414,623,055,524,
522,654,595,641,591,046,405,516,320,485,148,522,263,267,877,428,370,201,436,
456,353,313,277,508,296,293,773,684,101,241,742,221,000,379,526,529,286,659,
188,828,506,949,015,776,469,256,123,828,799,744,614,804,982,047,828,364,017,
413,669,892,033,726,730,609,707,409,131,558,204,821,265,335,140,688,932,528,
260,643,011,770,728,572,064,158,066,499,162,135,209,304,130,513,686,688,595,
378,338,899,119,924,996,538,268,047,014,436,591,947,245,178,678,111,459,324,
107,449,326,249,192,294,056,908,815,801,370,581,418,175,213,329,229,062,845,
420,535,748,359,874,411,181,996,071,139,701,903,798,334,261,388,252,556,275,
584,109,677,079,012,085,296,322,975,853,884,394,808,853,267,380,146,209,507,
737,586,154,084,679,854,626,583,599,346,814,495,539,209,303,615,277,229,333,
480,002,776,996,533,317,073,524,036,698,530,754,329,405,610,666,310,581,751,
532,480,737,433,720,255,045,135,383,129,179,767,540,664,817,260,474,351,770,
473,225,340,885,228,108,721,925,144,158,221,402,636,098,180,030,343,790,260,
210,790,496,220,138,675,201,369,813,548,896,198,543,159,587,050,807,985,009,
063,172,353,207,704,567,242,786,743,897,990,111,330,991,586,456,974,029,888,
140,317,115,870,046,729,138,242,218,637,325,525,737,544,146,558,330,107,313,
989,900,442,050,451,475,528,832,535,277,919,778,294,669,859,599,179,825,383,
241,274,330,455,487,171,465,075,455,110,584,603,621,705,704,731,136,754,955,
881,829,743,108,219,771,912,369,288,674,802,984,966,646,627,131,931,077,378,
020,721,640,387,048,179,316,496,481,560,681,643,909,392,972,293,279,172,434,
744,746,336,808,785,969,119,378,042,704,236,294,856,950,136,564,639,516,792,
736,644,654,919,792,772,147,280,848,577,196,491,327,513,790,166,037,387,528,
777,980,550,941,861,560,617,231,811,037,916,693,985,350,639,522,480,172,118,
852,142,214,953,510,832,974,267,312,146,210,263,858,429,006,041,666,119,214,
198,307,927,578,463,738,143,305,273,496,608,338,716,552,283,610,352,650,295,
580,562,758,449,594,580,579,030,745,118,396,254,943,009,204,900,903,640,196,
817,345,166,303,045,568,804,402,971,124,063,969,131,704,820,902,216,777,559,
548,845,527,815,984,300,559,645,519,286,505,880,533,438,889,628,009,486,930,
152,944,303,797,082,730,155,776,878,869,670,560,837,306,883,527,391,957,628,
151,842,529,971,461,182,080,252,168,021,377,391,196,286,390,278,443,848,961,
689,270,399,939,354,134,995,981,342,585,162,153,343,856,825,204,532,808,382,
926,283,549,002,269,324,016,791,220,054,083,771,674,934,875,545,922,395,736,
040,634,555,759,640,587,334,706,222,650,318,397,879,824,522,732,405,750,659,
147,343,705,845,312,020,551,432,316,162,951,417,470,270,871,870,187,526,038,
957,615,608,801,307,966,030,213,290,795,391,389,794,435,101,849,539,298,317,
872,571,115,698,602,427,019,599,583,684,304,614,638,321,132,303,356,747,566,
397,715,106,251,377,696,339,437,214,779,526,197,553,303,336,993,340,606,601,
847,554,478,092,553,803,805,013,465,090,055,045,198,067,478,086,061,056,017,
450,883,454,692,145,189,540,659,052,172,319,529,278,590,774,816,737,558,195,
304,034,346,500,747,801,623,648,887,282,763,245,796,371,068,753,569,590,673,
005,218,960,970,279,051,275,175,137,242,749,590,670,741,994,640,943,534,440,
519,593,784,415,074,257,781,926,420,771,838,917,825,302,454,047,163,836,446,
450,512,453,518,304,902,081,039,777,339,200,958,152,053,881,530,284,650,817,
051,340,173,285,957,160,351,531,167,086,945,842,698,552,648,547,930,530,215,
914,290,636,366,873,194,452,491,782,646,154,515,345,763,218,048,310,965,386,
153,640,498,481,054,243,449,672,878,151,535,312,340,636,805,298,642,665,845,
905,205,865,075,144,735,555,778,062,852,501,450,432,838,322,918,744,041,100,
729,911,727,724,539,564,204,671,678,348,344,570,300,864,561,537,136,867,040,
577,882,939,373,144,547,131,883,183,150,255,232,026,960,156,002,793,776,870,
564,846,182,185,215,087,986,457,460,283,054,101,167,425,059,002,976,980,375,
807,489,885,779,395,010,114,653,452,171,016,417,138,346,248,069,597,089,734,
923,618,951,539,578,454,293,850,965,368,062,107,592,484,873,905,090,756,089,
581,204,978,317,215,849,185,780,445,144,580,306,111,270,559,730,057,901,010,
188,708,311,185,646,320,957,270,163,469,789,375,195,732,319,096,905,269,802,
775,648,662,588,351,328,440,154,392,886,547,408,011,716,372,950,615,163,448,
223,565,641,497,541,426,509,199,938,762,112,628,844,713,529,660,313,159,788,
995,003,627,061,800,901,971,304,738,481,133,985,710,171,341,484,008,084,600,
588,076,919,763,282,207,480,511,985,782,021,039,818,976,762,387,034,553,512,
141,522,605,901,024,503,809,671,340,037,753,050,694,374,878,154,229,290,278,
619,296,839,886,633,104,583,349,825,314,661,117,375,682,545,122,106,485,041,
595,172,691,684,356,743,628,422,530,036,638,429,199,834,603,031,549,637,775,
029,139,932,474,119,969,012,542,751,113,080,611,911,876,700,988,305,275,470,
612,032,249,695,005,405,342,341,822,181,170,751,178,742,170,236,109,598,116,
718,094,730,371,406,246,349,930,831,061,746,833,375,410,723,949,867,304,953,
615,678,376,083,470,618,135,768,023,116,235,522,506,179,146,750,815,088,354,
529,507,573,593,703,769,945,023,761,860,835,242,882,360,184,104,359,132,817,
031,908,546,518,329,539,003,948,170,815,764,579,710,703,439,760,694,404,826,
070,976,394,609,692,923,906,513,197,382,517,682,467,641,499,221,920,652,191,
447,922,310,840,965,760,568,295,079,851,511,651,416,675,245,764,091,799,794,
125,098,763,699,098,205,902,615,109,561,621,292,858,294,479,214,977,307,446,
625,875,316,783,671,234,528,007,938,953,086,385,325,352,324,224,404,395,133,
037,054,639,728,511,017,643,870,665,500,927,414,661,439,198,842,445,662,165,
079,971,895,349,406,767,806,034,773,321,461,847,227,878,186,701,835,438,214,
205,937,901,456,813,102,612,409,413,620,138,157,675,071,370,443,707,663,939,
627,514,672,799,300,247,954,509,688,001,336,325,453,248,985,462,444,702,414,
145,887,514,668,608,212,932,821,244,208,190,357,402,389,959,774,563,957,773,
575,217,783,027,942,250,137,360,703,885,880,869,328,837,852,066,800,109,795,
516,897,324,942,671,647,695,709,556,311,753,256,993,850,190,554,228,656,071,
519,216,388,293,039,064,566,869,270,633,447,746,275,024,946,728,361,141,025,
360,450,733,220,212,567,659,476,402,587,488,440,822,124,967,761,498,526,697,
265,421,627,821,980,723,313,856,009,387,705,647,531,102,965,793,929,111,564,
438,468,705,059,492,896,993,271,646,820,470,270,099,864,883,166,672,090,792,
775,839,724,284,697,761,862,581,833,860,975,566,936,760,988,351,187,043,327,
337,457,814,193,767,799,372,133,064,853,866,873,742,083,110,829,345,571,914,
868,140,567,545,045,591,996,114,582,148,566,294,552,715,845,299,862,891,275,
844,234,025,252,880,212,707,181,221,586,818,334,123,651,712,453,130,125,804,
928,533,909,826,313,553,792,031,594,227,406,092,104,498,839,556,262,421,702,
168,693,908,025,180,870,214,069,125,681,196,483,757,990,553,073,849,709,368,
158,514,049,862,086,894,810,724,336,011,320,491,976,393,467,702,777,675,448,
569,193,706,706,871,477,461,308,306,023,252,582,707,742,383,290,347,139,771,
454,563,612,748,006,161,619,489,818,756,054,284,508,339,545,957,646,258,494,
082,148,838,125,483,495,220,763,069,158,211,390,500,791,575,606,253,129,892,
341,102,477,324,216,825,495,218,630,325,791,948,840,086,976,739,109,658,776,
423,380,445,954,346,066,456,171,345,088,414,059,679,250,185,715,351,717,399,
184,612,910,019,501,200,970,859,256,166,916,727,377,843,736,017,458,503,117,
536,526,914,949,785,967,189,440,765,329,459,486,623,426,009,199,580,769,760,
028,118,620,266,836,452,737,279,917,577,622,232,819,733,230,529,822,127,928,
419,874,393,526,307,520,913,566,929,266,234,856,220,983,964,986,577,504,089,
492,722,110,142,899,708,992,179,240,863,693,949,142,901,258,971,933,276,812,
632,840,129,184,685,385,298,083,300,485,737,619,467,038,464,118,223,787,887,
398,301,247,933,365,737,826,422,571,897,472,064,742,975,416,978,883,464,712,
336,648,223,401,188,917,768,626,391,728,000,019,000,969,621,948,406,706,101,
129,178,479,548,248,756,281,328,099,962,515,361,633,972,580,548,340,313,092,
854,876,281,205,621,256,768,133,658,746,877,125,540,866,010,065,103,680,815,
503,670,141,996,612,873,788,622,844,994,557,312,226,401,576,723,815,664,504,
443,749,692,934,862,551,998,627,337,353,849,604,457,875,211,527,560,850,481,
017,845,777,697,860,307,201,670,445,981,430,704,762,970,161,521,092,018,579,
458,474,956,938,871,231,589,896,581,275,131,038,466,861,994,610,218,028,168,
049,271,287,340,825,293,386,523,527,238,321,099,219,110,586,530,158,766,765,
059,005,948,099,179,784,455,421,616,464,701,542,070,272,068,405,567,760,702,
117,028,519,990,664,051,777,265,193,176,871,529,500,409,734,823,471,908,970,
489,261,958,346,754,357,182,270,041,478,398,500,050,148,347,892,256,169,936,
798,513,116,306,298,789,556,439,074,148,461,821,275,813,778,649,760,054,945,
178,481,484,163,155,453,604,451,961,846,062,429,158,945,997,945,174,167,358,
221,317,993,931,107,412,147,036,733,174,476,600,927,305,501,034,547,881,975,
120,379,132,292,888,175,608,051,700,623,127,719,714,897,628,864,698,818,597,
280,227,848,947,413,017,163,058,935,877,710,425,710,928,887,529,134,970,850,
140,235,190,956,879,949,051,381,181,879,495,777,013,752,374,223,390,618,936,
811,170,457,510,716,743,028,267,516,870,429,411,176,623,438,806,142,869,727,
123,202,975,618,588,568,377,362,894,287,375,981,200,497,647,376,286,753,898,
140,571,785,069,228,263,839,306,548,542,290,545,779,546,967,617,507,928,475,
229,776,807,038,360,195,459,875,732,852,933,145,811,361,791,309,664,235,789,
581,518,603,574,407,121,448,383,579,611,870,118,999,783,624,836,747,973,219,
963,044,456,429,487,440,121,683,957,008,150,421,739,566,813,696,730,984,762,
265,783,259,601,287,177,431,458,148,131,770,310,691,584,698,894,714,903,825,
305,197,705,403,713,800,253,690,871,739,292,762,579,395,137,081,760,323,103,
992,005,762,197,489,524,586,448,051,429,593,962,139,184,872,405,591,693,086,
690,267,619,273,667,073,238,054,080,624,223,599,805,103,270,485,884,577,108,
541,051,233,791,265,170,535,878,605,462,668,055,543,821,346,762,619,840,922,
850,769,942,076,402,421,662,813,247,636,168,133,492,104,354,004,858,515,387,
103,330,310,860,032,696,077,827,394,156,247,555,835,625,089,302,740,931,084,
137,197,071,631,381,150,466,847,604,601,425,911,635,961,403,364,565,548,115,
860,060,114,075,253,605,258,434,803,119,491,198,987,676,411,681,099,650,972,
156,442,322,596,680,885,568,228,544,397,277,245,592,336,483,810,570,635,588,
203,014,008,883,030,181,109,765,620,798,369,271,024,255,540,998,512,690,312,
106,134,097,038,046,466,259,695,747,798,329,890,643,025,524,463,773,311,207,
137,300,975,701,771,584,079,516,420,544,647,726,350,236,818,974,803,231,862,
349,293,285,998,331,666,101,986,222,070,174,706,373,582,400,580,298,351,989,
694,817,488,983,557,155,652,114,918,434,228,523,908,260,135,593,460,462,313,
133,316,767,482,658,562,902,154,591,742,901,778,975,561,879,955,761,621,241,
806,447,229,020,534,456,508,598,219,462,448,751,270,080,641,537,199,187,667,
164,004,048,939,523,438,159,224,866,492,859,012,820,080,338,810,734,990,116,
852,346,458,697,503,363,943,582,662,593,837,477,525,196,757,931,809,486,941,
654,870,437,273,957,562,328,493,289,019,053,535,669,775,155,190,204,019,469,
651,154,125,047,199,535,887,811,198,897,742,071,735,120,448,842,115,742,096,
726,467,656,900,438,399,161,699,250,594,171,362,364,253,620,858,723,857,936,
006,617,102,491,000,820,516,773,472,242,123,998,550,722,683,496,483,323,687,
350,629,443,418,385,858,909,816,446,472,384,633,794,819,459,703,249,819,127,
411,575,936,732,060,300,473,589,598,810,255,556,800,312,462,166,619,166,160,
547,229,900,334,100,889,405,052,777,887,904,896,796,376,252,525,345,404,195,
088,090,673,433,338,666,570,405,638,392,810,715,655,196,909,328,568,105,174,
277,393,780,387,628,617,064,902,511,970,600,584,662,685,396,694,671,654,848,
485,986,796,661,590,742,256,142,894,035,654,270,644,294,839,565,975,180,697,
776,914,363,762,716,999,283,265,960,317,708,605,090,253,595,996,156,897,649,
081,018,023,715,073,425,632,948,484,857,320,056,291,407,179,607,647,433,163,
114,114,417,056,843,720,007,148,023,858,603,426,428,650,070,024,345,251,577,
561,828,689,181,076,134,625,660,723,839,227,572,365,422,785,627,699,730,391,
361,502,178,828,318,629,741,143,440,471,055,761,669,623,411,527,913,963,309,
689,041,782,715,910,266,092,177,311,892,963,731,492,611,251,434,272,467,854,
124,212,397,925,698,674,089,868,264,378,767,943,610,976,650,441,274,828,486,
236,015,860,297,182,804,956,242,134,941,161,696,407,489,091,626,423,263,647,
208,465,605,443,027,482,373,118,470,582,370,811,848,334,607,638,043,326,431,
327,880,522,530,911,750,423,245,840,449,001,930,590,060,843,980,131,990,979,
786,062,846,938,556,426,715,587,324,890,641,015,959,692,620,466,256,482,990,
075,034,336,261,856,603,315,275,444,298,241,134,781,324,984,909,445,680,144,
033,068,904,983,171,701,986,574,097,689,530,762,897,657,973,813,996,306,859,
907,643,842,433,625,153,715,732,576,056,299,638,804,825,674,451,480,406,857,
579,358,353,801,137,523,665,449,190,419,368,539,501,068,824,538,990,057,673,
585,362,118,148,662,341,356,469,963,144,345,272,985,324,650,986,134,116,262,
016,551,839,412,304,976,014,578,769,762,855,170,282,284,028,182,096,772,579,
632,115,538,294,023,755,143,606,977,010,766,910,295,998,225,986,675,767,478,
196,242,199,379,490,107,539,033,933,106,199,730,904,907,044,080,693,447,884,
179,358,918,300,638,078,160,801,061,872,040,572,089,221,793,305,982,105,453,
009,958,177,714,796,836,207,151,337,289,188,136,346,931,079,460,194,073,626,
594,408,470,719,284,611,119,092,824,485,216,709,052,236,405,603,695,697,800,
546,133,977,221,120,812,277,453,616,935,284,149,343,327,231,120,722,569,697,
180,217,634,542,088,364,568,144,512,028,943,029,402,490,499,224,799,981,176,
674,245,031,558,723,317,951,074,784,643,424,700,150,951,977,510,189,291,258,
859,783,459,862,962,532,145,959,580,869,257,239,179,793,052,114,425,805,906,
111,002,099,433,541,434,226,143,836,728,548,231,105,502,774,526,388,203,612,
306,269,877,868,271,496,075,210,156,397,397,005,784,922,732,940,230,122,794,
014,290,038,183,581,517,739,636,400,735,036,196,585,070,680,496,477,681,566,
164,535,460,592,334,200,606,363,468,567,894,147,728,010,289,594,433,035,931,
171,728,061,106,877,668,801,817,170,116,991,444,776,781,231,354,028,472,189,
854,614,550,282,808,221,968,302,460,479,613,101,141,171,149,329,380,694,862,
243,768,294,427,756,837,298,472,888,101,130,385,696,085,325,932,146,486,333,
093,653,125,099,702,627,170,018,842,314,473,305,784,381,933,879,965,445,197,
725,511,054,312,600,576,424,349,906,548,233,327,675,532,576,907,183,243,886,
891,331,885,600,430,442,077,304,171,269,645,122,227,436,540,712,316,514,388,
003,435,943,010,592,111,819,977,818,759,584,081,195,419,338,521,295,957,298,
665,329,767,929,042,809,176,399,101,681,945,972,660,602,306,076,229,924,955,
510,205,563,787,133,290,093,058,945,687,623,105,660,032,909,017,983,013,544,
752,823,785,393,271,944,227,368,716,347,499,932,855,802,991,484,109,558,601,
484,627,531,225,571,949,541,478,150,149,540,828,202,759,757,950,507,777,730,
305,824,236,581,735,586,074,837,922,320,376,121,537,376,519,166,291,448,061,
981,228,523,819,489,174,099,090,856,347,364,557,234,677,345,725,682,793,035,
154,678,867,263,330,529,000,888,150,843,051,392,781,616,899,444,473,464,963,
829,198,437,281,180,165,867,974,657,461,118,865,649,439,982,809,711,843,080,
253,621,044,780,227,654,450,019,974,793,318,751,365,840,231,113,073,251,281,
057,171,609,671,162,071,418,675,094,970,069,153,546,408,795,501,346,119,115,
329,259,263,151,069,263,420,485,809,272,726,754,097,244,817,790,664,890,121,
081,582,731,048,144,556,671,123,976,524,707,132,057,612,017,904,641,825,079,
061,752,431,752,327,113,653,695,607,176,133,858,945,345,839,170,850,095,589,
531,892,415,720,859,606,636,041,726,591,943,150,242,879,024,652,813,481,049,
839,207,186,440,817,471,190,470,069,228,250,686,423,071,154,478,389,596,936,
169,269,210,069,013,836,434,018,193,272,185,755,818,620,400,288,026,037,048,
920,754,240,783,367,649,747,093,199,101,758,750,058,988,853,389,632,718,469,
143,141,428,716,528,970,063,727,451,239,721,550,101,411,004,846,961,958,453,
544,861,313,522,590,768,196,156,877,106,207,439,945,260,571,070,862,346,310,
300,600,906,848,130,104,136,361,255,603,451,905,505,985,669,326,337,911,162,
016,318,529,433,488,784,401,098,729,572,228,694,539,853,289,769,699,530,686,
321,773,545,583,006,655,910,002,632,086,394,196,566,978,505,927,744,135,094,
982,984,425,541,628,846,733,007,753,489,664,887,579,889,950,131,780,254,281,
315,997,256,304,294,000,493,102,220,224,762,268,757,556,113,307,150,838,107,
628,444,603,696,445,952,562,467,925,345,916,991,222,271,268,754,509,526,926,
755,474,469,818,180,273,211,245,360,822,294,039,329,543,695,810,832,481,912,
950,820,816,656,505,232,553,195,390,181,121,193,704,423,195,567,041,905,062,
047,792,703,138,406,608,815,674,293,680,291,682,426,275,143,493,166,621,891,
616,221,192,931,031,327,303,259,629,024,622,331,514,377,884,210,915,388,076,
944,411,207,509,347,793,679,009,411,123,576,939,544,875,559,108,351,494,893,
858,413,007,334,954,661,531,728,392,582,344,156,227,910,883,772,292,703,523,
957,123,145,917,832,992,775,574,674,051,076,656,695,604,461,708,559,172,350,
516,325,858,011,627,706,063,820,410,976,406,523,356,373,350,062,502,654,773,
348,681,476,264,272,975,322,940,624,702,769,590,339,768,264,412,934,384,301,
406,966,604,507,474,149,152,206,955,835,886,143,089,289,062,813,375,196,041,
601,388,628,680,217,705,030,011,979,118,244,511,591,442,394,293,769,171,215,
308,990,390,099,157,483,349,383,283,630,797,737,552,729,512,750,643,244,108,
857,257,112,733,028,824,583,497,090,069,909,190,080,187,764,472,570,212,484,
610,206,418,590,704,339,782,006,333,135,476,593,718,150,854,281,521,365,022,
682,119,628,034,748,659,409,863,542,326,193,981,603,000,595,251,534,275,813,
550,200,149,522,721,702,884,087,612,983,854,195,252,385,923,634,183,253,403,
721,137,574,440,177,508,904,006,818,745,213,952,479,631,068,324,487,628,646,
378,752,423,247,742,776,393,398,531,243,991,634,192,978,203,903,652,998,331,
686,143,415,662,550,473,400,714,542,786,684,556,016,996,223,220,507,636,847,
974,206,833,589,096,454,811,506,871,483,696,546,297,572,765,357,942,002,029,
504,520,159,428,272,622,447,550,687,064,918,130,263,291,963,101,980,298,052,
309,037,888,665,602,986,004,646,080,877,153,142,907,632,029,145,345,866,299,
704,375,791,672,935,655,101,503,954,254,420,192,369,725,055,216,602,350,302,
458,242,150,638,783,620,059,505,473,200,715,576,505,909,669,877,168,732,430,
565,671,771,593,138,616,260,936,183,858,200,839,794,544,003,671,872,710,701,
188,005,477,670,801,894,670,111,314,428,864,401,156,548,244,680,690,764,602,
023,180,123,779,724,670,312,028,992,345,010,652,213,099,259,327,847,974,226,
540,386,291,130,490,455,384,170,556,355,703,806,416,646,349,596,723,576,554,
416,038,956,722,828,481,052,621,292,438,397,192,350,497,351,466,356,528,776,
231,378,675,431,519,534,678,474,991,405,526,702,281,137,294,069,118,958,043,
272,136,568,362,437,353,342,499,390,692,856,905,012,577,544,130,936,593,687,
880,275,336,344,431,533,464,136,436,815,450,165,391,527,227,890,407,668,100,
679,878,250,092,839,485,174,563,574,833,483,390,624,445,453,869,425,276,424,
893,586,424,015,338,613,268,207,720,725,458,076,273,015,415,302,305,611,427,
341,497,584,344,246,154,553,859,409,751,439,873,655,412,576,188,453,576,906,
364,613,975,397,883,628,206,646,354,449,128,868,281,442,387,161,122,633,644,
429,261,908,466,091,723,746,273,938,634,772,618,371,239,639,905,004,642,245,
719,962,577,544,692,098,154,826,628,502,894,336,852,828,007,698,468,767,638,
606,099,579,428,310,108,252,096,889,944,647,753,114,040,753,045,797,781,259,
712,793,461,246,829,003,701,047,482,447,684,215,547,523,919,609,162,582,820,
775,759,019,628,810,337,669,005,348,555,815,015,664,320,775,481,322,847,269,
507,786,114,527,041,421,825,682,051,624,958,619,116,504,875,999,768,158,629,
169,686,631,087,771,622,959,021,218,091,410,827,276,859,964,454,285,416,227,
841,954,076,952,238,657,793,404,422,163,988,641,244,035,601,482,869,458,365,
440,416,813,969,301,903,769,977,092,833,616,135,337,388,974,947,369,445,643,
035,926,825,323,681,361,960,480,760,721,578,066,021,032,892,739,696,331,811,
286,840,232,428,221,406,366,095,645,071,019,037,949,960,632,070,173,336,900,
049,990,688,003,242,758,203,856,383,236,041,358,267,967,121,463,334,019,660,
066,678,388,794,812,053,079,016,032,481,307,621,355,869,819,141,218,564,343,
508,896,445,875,524,735,788,999,650,388,122,848,765,735,382,350,262,271,904,
499,184,452,566,798,718,678,396,733,826,932,402,909,126,489,393,156,693,818,
747,506,943,716,504,464,359,647,151,810,423,736,408,154,961,543,226,433,515,
881,201,574,442,742,801,185,354,699,347,645,649,281,999,397,838,434,154,437,
857,537,033,666,774,083,134,272,700,427,876,608,201,073,298,793,087,897,968,
724,955,186,877,539,031,126,352,723,010,557,891,094,185,235,141,310,871,978,
606,383,934,529,703,977,953,186,850,026,566,633,726,195,707,284,681,334,151,
967,236,282,044,439,322,652,008,711,634,403,440,093,368,160,651,390,591,788,
880,580,724,255,657,699,699,718,052,528,953,225,957,300,800,530,714,829,557,
050,010,618,754,250,795,688,710,890,605,056,569,673,282,052,734,994,300,250,
713,399,110,175,729,195,014,631,220,344,598,949,942,792,251,702,450,059,931,
546,151,506,751,005,817,655,373,262,487,198,857,478,742,915,669,501,923,974,
888,898,124,782,386,365,825,552,897,983,158,124,854,573,899,242,842,707,839,
474,264,332,245,225,625,751,241,090,797,042,599,179,658,061,205,642,555,062,
095,668,422,563,653,439,070,596,691,066,329,081,449,232,123,145,565,845,034,
428,724,757,811,355,790,224,288,536,307,068,657,083,471,343,774,300,528,956,
950,383,663,220,097,307,475,784,358,276,174,908,276,346,227,937,191,191,754,
681,464,208,559,901,098,825,860,830,540,078,455,879,835,136,418,317,825,176,
429,445,047,161,409,678,405,368,207,374,392,060,709,743,658,258,189,081,746,
513,158,921,874,315,487,238,639,263,354,154,922,407,995,644,724,634,250,368,
257,448,566,005,086,727,400,391,586,504,428,802,289,686,070,836,285,573,018,
658,184,548,701,983,864,937,892,021,673,552,304,782,512,555,131,366,801,202,
736,565,684,662,601,196,320,741,510,956,481,099,498,162,535,706,126,108,675,
771,492,991,499,034,754,650,996,909,084,398,045,293,278,391,735,007,008,570,
354,052,451,471,427,957,354,774,793,001,419,102,961,470,209,517,883,758,833,
174,710,634,966,323,247,333,269,760,097,650,441,443,399,884,186,479,823,794,
286,786,045,269,543,698,488,534,796,287,394,878,228,642,297,581,020,284,979,
891,229,546,023,788,378,411,701,839,113,476,497,905,391,666,739,504,387,498,
564,164,809,828,834,991,022,015,974,921,793,908,394,803,502,193,966,320,437,
088,758,045,581,403,868,132,550,568,024,397,249,561,736,999,837,235,920,825,
989,174,946,376,207,215,758,379,939,030,338,916,213,212,078,750,711,705,990,
736,383,136,759,142,133,836,862,985,288,605,027,639,883,735,813,724,373,735,
724,961,574,259,662,601,257,564,880,748,735,893,538,797,851,027,338,750,819,
865,449,299,763,800,906,949,516,453,698,849,938,547,874,770,787,162,746,433,
199,416,000,000,007,237,332,069,645,035,368,330,114,239,923,476,079,582,591,
595,642,017,547,395,396,466,156,261,493,239,370,267,132,655,807,482,341,285,
912,288,814,435,818,944,779,136,883,599,236,197,728,536,893,929,391,198,554,
825,852,891,459,220,964,614,609,965,925,685,098,974,319,980,902,701,513,622,
823,517,718,401,717,213,254,068,061,077,732,634,192,935,250,364,956,914,120,
113,029,376,395,868,156,678,050,125,702,796,879,859,495,526,114,276,292,821,
632,797,171,246,681,205,437,329,354,695,340,842,653,867,178,374,299,788,630,
751,633,066,910,720,773,538,433,350,974,495,107,003,414,443,091,726,812,696,
553,863,047,238,263,155,708,000,887,982,644,414,522,703,053,183,153,126,327,
809,967,607,150,006,474,749,684,966,487,844,131,130,023,438,693,196,098,625,
890,331,972,945,564,082,043,246,247,754,361,274,611,226,438,823,429,143,001,
231,762,127,410,197,989,868,448,195,777,608,992,362,454,140,864,339,820,869,
904,356,149,580,272,102,514,942,504,278,343,304,659,367,278,452,456,198,203,
042,288,983,533,841,694,428,491,744,183,595,257,890,766,713,981,284,808,418,
527,381,449,826,217,887,645,322,123,163,040,166,211,227,242,905,398,008,439,
811,063,735,784,080,347,276,992,428,027,135,362,624,726,076,860,775,590,765,
757,480,848,276,146,315,130,436,987,128,151,397,908,267,200,997,622,986,342,
695,131,061,286,837,686,839,544,163,710,959,363,613,700,304,748,152,564,726,
110,879,630,063,504,133,982,157,921,581,202,137,373,451,550,597,341,393,697,
064,469,561,280,944,487,807,516,679,060,617,095,719,337,294,659,274,156,413,
568,908,727,276,487,354,638,092,328,250,765,177,812,402,050,436,076,857,537,
105,437,823,538,914,188,725,699,930,915,669,602,531,876,052,921,864,038,346,
961,183,744,448,211,092,621,943,680,452,124,067,918,755,217,929,638,784,412,
627,815,529,526,758,878,634,185,824,507,087,352,023,995,107,044,293,231,739,
273,160,261,514,821,755,228,905,834,651,799,421,595,313,103,742,455,210,460,
416,555,782,542,355,869,965,005,348,159,228,747,690,345,775,414,152,226,934,
787,812,125,406,412,628,464,562,288,009,106,685,654,942,103,347,149,253,919,
565,194,042,332,630,711,983,131,907,107,374,188,419,999,008,625,352,962,984,
547,565,068,531,275,813,996,523,100,870,231,678,271,176,296,109,623,750,300,
770,550,243,759,504,885,683,973,535,501,740,205,439,211,776,498,038,876,240,
158,452,150,763,754,874,369,555,795,660,354,924,418,299,412,722,091,455,481,
872,314,373,195,066,631,105,720,334,332,712,394,404,558,573,205,015,066,765,
211,138,342,086,962,031,960,209,309,784,740,698,769,110,665,827,241,022,471,
721,155,272,323,820,404,111,028,254,744,786,593,545,233,193,654,306,599,351,
320,030,558,355,657,801,834,980,245,478,924,370,167,532,860,889,111,543,737,
824,396,865,924,334,704,702,220,510,226,316,480,322,673,632,471,140,915,025,
941,599,523,864,101,694,952,278,773,923,295,149,313,802,729,753,447,072,434,
725,020,983,596,360,547,566,811,511,358,107,118,047,800,772,004,001,498,764,
901,771,329,681,151,015,076,170,224,876,756,321,483,809,935,329,232,701,427,
046,136,922,471,292,057,828,967,931,233,150,687,302,766,826,173,055,326,675,
380,693,603,237,571,604,726,744,802,713,036,411,049,607,959,773,027,799,603,
662,540,378,701,648,531,513,848,239,722,762,768,846,100,281,451,967,188,151,
762,913,616,027,621,575,853,054,515,550,337,865,914,128,537,359,957,788,474,
778,454,835,925,051,625,618,309,459,852,455,867,865,667,795,427,868,343,581,
722,736,355,065,334,674,944,994,092,486,235,776,530,122,881,204,361,469,928,
307,418,124,427,951,973,969,800,275,613,155,469,898,317,159,408,447,652,707,
154,775,128,084,103,000,001,341,051,929,109,380,280,705,125,074,211,059,579,
845,355,031,313,947,019,119,967,999,183,532,910,392,363,073,073,312,566,565,
912,920,185,869,038,038,753,514,721,897,930,267,018,437,309,289,070,903,914,
248,653,805,576,691,629,659,306,892,344,820,387,548,207,816,026,210,150,048,
940,768,385,386,371,254,115,218,609,937,502,761,583,697,800,850,040,036,688,
783,910,837,553,043,036,574,415,287,035,895,808,022,289,949,487,251,348,918,
408,999,002,132,290,294,342,774,596,732,137,467,658,279,186,364,763,368,469,
846,293,093,115,595,967,083,881,929,474,833,252,223,100,736,665,145,415,421,
389,298,059,051,175,942,163,629,244,754,072,751,198,320,184,900,057,249,911,
019,539,290,547,998,242,241,717,280,818,147,585,693,638,345,049,225,640,982,
070,816,928,704,850,483,470,519,996,508,356,522,853,954,810,654,726,815,505,
098,504,658,907,542,001,268,199,919,673,263,124,577,190,151,818,922,168,521,
522,626,997,981,309,793,785,652,692,775,602,764,942,394,747,497,493,318,984,
691,591,945,490,852,223,802,322,533,301,154,957,200,422,786,162,987,165,313,
389,695,767,170,325,164,915,487,116,438,492,297,600,677,975,318,941,898,025,
507,394,911,553,165,182,588,021,407,641,590,796,778,905,736,768,532,746,351,
423,039,765,090,173,180,579,103,143,447,550,154,229,198,421,495,134,580,352,
254,173,668,715,516,141,932,500,116,801,497,354,534,435,985,164,860,428,618,
939,484,667,868,361,084,699,153,454,325,821,078,141,922,021,814,090,176,848,
430,298,949,236,448,545,745,966,957,903,361,636,396,337,234,021,007,821,672,
033,553,618,284,036,594,604,656,865,480,321,827,541,521,124,343,361,547,946,
553,613,055,606,353,574,260,107,193,518,743,492,190,464,339,941,483,214,024,
745,413,097,401,491,389,380,207,807,831,752,635,171,594,597,897,934,572,118,
511,271,778,838,451,372,847,262,966,667,285,067,657,650,647,075,172,326,008,
372,857,910,422,439,573,140,877,223,591,974,591,728,483,080,433,787,420,850,
127,816,040,070,037,896,333,298,959,101,370,197,321,819,246,623,933,866,106,
935,939,208,602,685,316,157,743,801,411,890,514,667,047,447,277,980,361,661,
643,418,125,987,278,116,580,019,321,639,654,962,357,744,339,115,091,746,894,
295,778,233,148,748,794,954,869,023,470,976,239,871,650,278,289,703,487,204,
869,611,632,951,962,135,903,469,593,762,516,644,797,020,780,238,478,514,243,
905,128,290,150,459,484,731,817,650,243,557,777,622,859,049,051,557,772,711,
027,948,633,901,826,538,371,579,020,495,147,813,163,670,712,260,211,423,274,
814,912,479,738,624,910,803,589,316,553,836,452,182,697,452,025,652,866,918,
547,911,781,569,439,320,081,666,692,392,450,370,092,022,162,568,007,584,925,
579,313,735,038,262,888,448,009,348,434,167,749,795,104,925,068,031,765,118,
161,683,022,723,231,834,839,588,969,978,650,755,258,890,059,500,269,180,026,
244,291,525,346,912,588,841,314,678,619,608,711,408,025,481,474,588,172,822,
495,724,489,425,344,788,393,522,278,309,528,238,818,149,248,075,435,526,687,
506,734,473,768,164,952,212,242,045,963,292,449,198,565,705,353,705,474,488,
264,733,695,846,517,612,089,713,319,907,035,638,326,615,112,124,872,232,310,
747,353,160,124,771,042,940,262,551,614,791,707,796,457,942,983,734,413,763,
908,868,205,541,113,127,425,616,419,309,337,253,218,656,203,379,319,354,345,
465,048,064,388,144,041,851,736,361,772,299,324,174,489,074,332,332,948,923,
267,905,079,123,233,567,737,051,345,648,320,185,097,493,822,441,565,562,814,
732,575,399,550,815,144,974,667,838,449,698,242,002,207,962,603,303,412,898,
410,623,768,806,909,735,701,673,106,338,545,577,573,359,015,845,520,318,102,
387,507,240,372,919,198,975,175,663,927,425,619,040,248,097,225,846,451,658,
138,286,728,261,617,719,116,090,195,945,663,013,488,629,778,795,144,220,455,
597,579,661,680,410,448,218,340,730,561,744,382,742,499,970,285,136,271,949,
152,803,048,366,078,550,119,934,239,672,251,711,679,714,109,241,623,020,277,
172,781,447,186,690,868,027,181,891,291,226,453,995,451,651,833,590,389,873,
197,887,734,330,511,835,921,385,935,198,864,394,235,828,442,773,431,973,797,
206,390,519,096,226,794,273,662,600,415,244,799,639,190,659,266,228,205,756,
513,034,118,541,784,103,818,033,691,369,328,197,666,334,186,118,417,704,856,
319,141,551,804,767,508,040,564,316,222,967,609,555,414,627,363,402,941,103,
518,682,868,699,586,467,198,989,399,666,002,195,036,909,544,298,279,457,566,
235,727,252,289,622,999,967,800,878,006,359,146,394,451,770,558,370,338,465,
159,563,472,387,842,204,596,602,390,393,327,547,801,574,971,592,215,274,499,
316,572,911,202,420,011,775,328,419,438,996,523,845,482,049,723,767,931,041,
709,577,609,990,273,911,388,046,910,393,682,378,438,874,029,325,637,504,484,
701,958,808,562,840,288,136,130,057,389,992,125,903,655,565,883,233,744,444,
204,996,294,103,627,386,942,556,823,642,427,970,897,349,221,437,374,714,740,
072,256,195,968,567,736,388,439,899,256,035,126,180,566,148,091,661,412,866,
092,384,725,063,701,044,059,498,228,019,529,553,671,770,447,301,858,587,533,
100,720,286,185,868,030,507,176,970,380,415,214,707,491,390,008,371,914,651,
196,632,400,272,340,304,408,365,841,601,445,918,229,392,976,118,660,453,849,
362,148,716,863,574,068,024,008,978,289,558,891,827,080,855,435,317,725,094,
130,129,574,405,345,672,344,679,691,625,595,797,204,548,592,437,642,090,204,
681,707,407,322,911,971,883,907,309,108,516,460,529,482,389,572,956,612,814,
259,497,344,892,408,982,340,083,278,283,940,871,837,968,284,637,936,761,747,
393,450,884,394,069,867,203,755,377,388,933,184,746,819,779,374,276,338,060,
919,119,342,408,734,120,990,630,402,668,414,555,381,306,981,994,339,819,583,
897,450,881,996,837,858,696,756,614,286,245,439,062,264,298,083,524,607,845,
188,181,763,293,084,891,502,659,957,942,835,052,454,702,768,564,072,120,657,
677,187,102,947,347,209,137,693,558,758,568,410,377,587,907,526,416,862,073,
871,175,692,274,560,838,030,385,144,265,889,978,940,225,969,597,214,296,108,
236,994,070,020,090,881,491,693,809,933,089,502,388,174,608,695,878,574,439,
855,278,109,053,892,414,214,296,781,566,670,027,538,879,057,224,617,705,151,
744,175,709,027,428,804,145,910,461,955,358,606,221,068,878,419,189,822,914,
213,862,033,606,262,525,549,113,236,691,159,009,242,694,284,804,260,400,720,
271,233,294,034,290,784,670,149,274,376,071,474,960,431,719,622,317,614,224,
956,255,837,718,433,573,022,244,982,474,860,170,374,396,447,724,084,637,503,
331,016,398,258,541,186,902,698,002,702,948,648,167,557,948,505,605,575,389,
702,671,055,745,829,651,953,289,902,532,550,423,237,321,951,990,217,478,232,
757,576,708,607,955,867,173,769,776,530,151,924,747,007,003,126,264,425,409,
044,232,638,739,757,755,976,488,706,309,276,183,478,085,652,004,533,471,388,
260,045,632,509,228,606,511,959,398,953,505,811,860,142,967,973,387,924,558,
592,047,624,791,879,452,239,590,048,440,882,128,016,211,998,034,730,716,999,
899,121,933,468,695,192,586,925,245,733,402,743,435,943,188,291,602,739,476,
386,784,242,794,113,225,749,230,912,364,806,925,054,444,516,683,551,910,762,
928,877,724,060,125,022,049,399,969,400,112,872,621,902,959,172,519,509,250,
849,987,486,201,656,712,953,724,923,544,534,937,349,672,410,847,101,059,936,
294,414,943,082,624,706,139,837,445,404,452,345,829,871,083,087,712,261,325,
994,549,568,624,758,868,083,791,682,491,323,245,419,335,789,410,009,663,425,
618,026,847,747,670,388,572,241,558,854,049,377,456,380,885,257,763,791,816,
740,990,065,585,754,024,631,658,226,331,366,698,551,871,151,729,307,882,318,
025,983,625,012,840,565,260,703,861,407,140,955,691,137,423,322,641,339,276,
173,666,954,911,054,552,317,527,607,835,794,336,427,877,535,802,663,743,740,
771,671,017,427,049,728,089,108,465,400,532,874,585,714,153,685,620,974,005,
720,333,617,528,175,066,473,890,063,802,441,698,647,580,411,502,069,512,531,
831,800,642,345,498,402,399,346,479,680,871,960,568,301,056,658,260,486,120,
925,091,300,913,389,000,425,417,028,997,932,606,962,894,090,858,710,883,299,
198,197,276,003,924,650,127,441,190,011,276,518,764,661,748,589,163,808,827,
217,971,742,417,524,004,108,139,136,910,339,781,285,504,155,815,733,939,349,
100,173,239,845,652,052,817,298,588,052,974,964,690,396,621,774,642,525,873,
273,308,567,625,628,463,844,539,074,900,225,750,938,580,173,347,569,061,213,
240,821,535,010,289,157,984,658,363,825,000,585,577,980,627,054,401,111,749,
840,601,379,786,219,548,700,923,676,023,724,062,695,203,672,662,936,938,922,
627,146,991,611,106,020,702,693,318,604,064,849,349,886,377,226,045,628,049,
343,008,294,351,494,116,093,348,493,632,968,401,878,404,470,516,772,277,511,
532,417,651,371,950,911,600,213,748,562,117,857,402,003,683,979,782,322,658,
170,217,331,720,780,178,317,936,792,927,498,881,179,181,898,410,354,572,144,
614,124,659,755,222,458,696,390,420,270,606,260,228,250,239,391,778,587,761,
809,279,618,811,779,655,138,191,846,065,778,183,854,493,698,114,097,427,158,
488,330,176,202,007,256,735,239,450,962,456,561,627,630,901,043,906,966,936,
924,670,928,738,434,632,111,498,269,288,905,446,481,566,099,096,830,271,907,
562,698,273,006,722,700,769,623,262,694,061,633,826,978,082,451,711,454,947,
512,456,518,745,110,874,458,762,111,754,504,099,772,689,687,216,793,291,677,
076,825,478,004,967,390,696,128,667,821,719,957,112,704,105,007,881,076,952,
401,422,909,338,585,208,747,680,392,699,950,905,233,747,975,759,159,246,592,
967,473,805,820,702,367,674,256,458,869,474,655,472,214,429,134,370,265,652,
571,155,000,454,289,690,408,099,482,204,396,533,621,209,161,917,575,156,477,
557,501,283,038,031,940,989,609,621,989,737,767,823,426,154,487,856,471,586,
587,647,850,538,182,852,583,508,238,738,260,462,488,144,401,481,709,814,634,
479,271,894,541,842,734,005,482,850,782,193,493,961,406,519,126,171,770,203,
947,668,734,656,798,691,895,972,098,417,756,008,539,179,457,301,565,148,724,
116,390,722,033,195,792,636,178,024,016,254,168,465,552,450,517,218,228,179,
151,789,046,247,526,186,084,149,075,023,764,743,818,341,482,452,273,796,005,
024,754,125,602,682,177,993,128,684,345,505,932,545,541,642,427,015,239,140,
539,963,566,160,232,338,067,663,093,342,543,380,936,703,973,039,329,340,695,
987,976,116,311,544,961,076,408,145,250,236,064,945,882,808,416,033,729,804,
098,841,945,554,154,525,726,664,626,744,351,694,984,486,997,202,117,960,256,
250,217,653,266,379,686,324,776,758,691,939,701,692,884,843,225,822,841,724,
197,539,082,110,012,022,271,644,865,850,202,665,222,567,593,878,359,457,461,
472,794,978,011,044,563,173,356,277,249,124,660,733,410,286,499,422,758,165,
733,947,542,113,815,384,884,650,282,677,682,000,439,841,832,328,377,627,089,
234,455,738,585,033,230,710,449,002,052,397,215,937,593,237,869,156,402,801,
465,082,626,364,798,010,654,989,563,692,294,526,380,361,969,052,919,867,386,
871,163,549,123,464,544,481,423,402,505,452,658,146,383,174,575,265,143,188,
422,956,703,198,097,948,949,367,661,812,721,729,979,955,580,808,518,511,133,
178,645,997,213,776,901,236,576,132,463,360,915,718,438,560,351,429,031,751,
360,577,802,164,228,420,410,214,750,827,634,213,868,513,624,571,648,240,973,
390,905,966,441,260,809,850,654,532,483,351,813,265,340,668,491,618,928,738,
649,177,127,953,755,712,281,180,847,025,549,692,876,715,512,126,388,146,771,
887,218,446,983,874,586,496,463,223,513,255,436,808,752,634,708,725,754,956,
929,903,786,001,490,582,923,879,686,767,925,493,762,338,841,120,756,227,162,
666,454,193,076,592,452,702,813,562,117,253,030,635,863,306,910,539,373,775,
471,166,443,123,711,435,104,551,367,978,887,528,992,534,222,043,730,594,332,
768,604,098,762,643,724,893,878,584,258,679,746,031,635,696,205,576,703,393,
082,287,243,311,254,461,035,625,332,733,991,052,110,215,148,574,165,954,573,
230,822,425,604,273,228,160,004,283,015,929,548,013,447,767,633,356,213,026,
232,417,160,437,304,476,794,818,150,314,056,986,524,649,811,665,213,711,096,
720,506,531,795,604,036,006,753,888,581,091,827,457,286,524,534,255,153,230,
035,283,061,204,489,282,673,185,835,213,466,085,592,867,429,669,737,321,759,
929,395,427,143,244,116,025,621,119,214,603,979,886,105,672,422,488,469,612,
991,798,017,922,165,933,954,209,941,133,143,093,365,029,181,459,483,468,229,
731,535,096,490,631,273,341,273,247,376,400,948,621,461,060,247,152,588,801,
718,262,247,727,742,337,751,772,419,907,791,234,851,758,451,975,167,811,217,
795,369,440,510,745,734,271,833,128,887,258,681,981,742,944,362,603,721,757,
628,759,840,591,087,353,734,089,550,446,200,245,383,286,675,946,599,569,905,
337,197,921,866,391,139,124,664,786,225,729,010,697,721,369,627,844,991,364,
555,179,874,891,658,120,570,151,329,226,005,095,589,093,032,689,010,974,133,
907,529,345,644,348,237,701,332,181,429,929,781,447,810,600,791,222,578,651,
210,429,782,032,271,644,878,836,326,531,633,662,942,419,411,676,847,202,110,
096,644,361,570,843,403,235,380,451,706,643,542,749,249,008,580,653,558,836,
238,214,100,436,507,112,570,198,347,445,186,728,808,775,215,993,555,502,299,
011,555,318,146,146,040,494,149,549,630,871,554,811,379,639,784,272,015,379,
144,071,462,665,063,464,095,809,536,921,488,950,363,969,994,672,358,615,686,
223,205,156,664,367,633,466,999,095,211,356,533,792,647,990,782,755,793,247,
426,369,878,801,349,593,698,237,431,634,417,047,275,064,949,303,604,240,055,
019,204,429,075,862,015,705,691,042,458,860,077,168,346,986,976,043,881,123,
615,141,115,833,851,052,576,871,082,573,251,925,449,553,504,505,689,298,988,
569,916,668,402,398,490,816,715,839,156,364,126,538,426,722,020,540,351,873,
492,478,101,862,976,382,978,657,825,953,441,532,650,386,387,136,348,461,914,
620,191,145,570,603,270,202,896,092,198,784,452,722,606,283,842,962,205,806,
808,798,127,211,364,532,127,504,087,061,970,135,555,891,114,170,443,829,099,
701,027,030,995,856,381,273,501,507,732,652,357,232,986,035,264,187,581,164,
376,792,250,428,690,375,654,767,582,581,227,155,858,088,749,649,284,669,996,
274,694,161,504,683,078,671,337,968,350,253,197,946,916,847,738,399,917,936,
866,200,957,479,364,800,517,639,328,825,239,797,689,983,503,734,301,440,569,
950,127,924,498,270,590,141,120,530,270,935,872,845,854,465,155,513,410,268,
844,928,004,477,083,480,055,239,563,960,519,342,087,345,449,109,922,851,254,
761,902,896,430,177,217,959,996,340,832,436,507,984,626,692,330,711,246,178,
051,486,277,918,008,969,758,395,880,316,488,036,294,984,513,248,906,489,480,
126,965,578,557,941,836,288,091,097,810,017,671,423,372,661,202,886,078,162,
757,644,747,182,485,031,940,830,984,079,797,436,305,608,202,068,545,476,047,
397,689,955,126,589,052,126,713,053,532,526,100,740,126,923,471,158,808,023,
892,539,064,172,445,985,176,530,413,317,297,341,752,201,288,244,325,603,111,
580,278,589,191,511,574,182,184,068,516,539,530,621,455,955,109,326,769,151,
128,746,986,567,809,917,936,130,562,646,497,172,912,112,114,981,206,248,562,
849,266,468,008,223,192,777,863,682,801,280,838,789,376,801,660,407,264,342,
485,527,702,241,728,238,571,067,180,990,537,113,413,358,913,779,703,378,368,
462,235,716,489,503,294,936,623,807,893,940,263,851,621,037,210,268,445,246,
523,794,452,579,797,003,567,566,778,676,721,509,826,148,166,153,573,767,790,
780,441,440,499,360,329,087,166,329,108,622,397,601,358,000,540,635,089,542,
879,938,189,879,696,970,754,190,734,561,026,855,771,324,128,886,056,788,705,
894,610,773,182,167,625,130,797,292,366,104,473,078,381,685,051,916,244,345,
083,655,973,572,773,207,350,639,939,259,231,276,830,018,407,569,841,530,883,
442,473,264,849,012,720,556,317,272,934,291,131,786,939,945,422,368,798,335,
005,310,579,918,182,143,690,024,119,802,711,229,100,358,425,971,855,840,956,
300,943,516,805,615,246,734,171,886,799,960,132,773,701,699,834,517,492,871,
700,102,440,745,786,425,150,456,832,856,077,146,473,097,410,937,092,381,453,
245,521,466,968,536,869,995,081,174,548,561,956,134,352,913,785,135,656,458,
255,792,755,364,960,144,100,827,620,600,567,984,444,671,853,177,088,739,676,
368,548,391,542,007,835,001,883,752,659,301,596,743,545,672,248,973,838,878,
580,510,731,273,496,141,715,131,082,515,621,029,403,988,422,477,346,433,256,
819,586,280,432,841,711,154,258,224,280,883,619,146,208,464,136,938,022,835,
844,481,540,440,851,208,930,692,991,681,976,178,817,349,886,910,075,021,071,
403,509,607,635,540,327,623,900,603,788,513,442,715,689,789,247,913,148,003,
545,096,203,001,254,293,358,404,973,989,199,621,216,183,905,808,333,660,312,
461,906,730,848,214,291,677,403,130,957,551,218,465,929,854,513,445,858,403,
493,261,408,851,629,106,515,899,615,002,822,318,413,633,059,188,852,137,479,
368,573,248,782,580,639,381,922,195,849,417,180,708,426,372,303,663,008,729,
984,792,573,731,204,097,011,525,883,809,288,821,616,995,454,369,968,374,285,
623,515,819,250,133,495,001,335,527,790,030,807,954,872,913,942,077,293,036,
900,302,415,158,648,978,716,990,851,161,370,334,907,968,839,007,334,626,249,
569,859,643,715,924,670,887,975,961,917,662,914,438,037,547,016,358,169,312,
103,748,375,410,193,027,431,603,220,290,065,315,403,291,935,528,754,946,078,
570,121,047,544,736,721,015,363,124,228,906,318,732,897,216,286,288,839,673,
964,220,587,720,188,887,258,012,977,960,551,026,014,078,821,753,225,151,608,
805,850,078,438,064,437,322,732,829,167,226,054,511,224,333,634,894,783,024,
043,802,260,927,662,801,770,337,690,186,938,560,905,272,967,014,626,914,461,
001,919,381,203,954,729,933,415,425,418,600,765,095,471,331,067,205,768,733,
401,380,701,380,166,765,365,350,441,114,793,416,048,165,555,416,511,181,099,
508,187,438,275,321,034,397,904,647,683,569,118,610,435,044,388,473,838,919,
621,721,408,776,097,030,819,592,218,352,840,888,239,679,804,307,806,069,410,
062,323,853,053,186,173,621,136,488,363,001,966,033,292,587,975,632,621,705,
740,231,492,205,117,619,167,533,349,374,282,030,475,689,354,424,777,792,847,
126,488,928,786,724,333,264,269,704,048,613,039,150,459,149,917,266,081,586,
881,589,839,454,623,460,005,964,659,340,172,204,559,652,147,403,960,153,680,
916,021,097,827,819,746,624,335,663,394,804,894,054,052,935,774,545,678,356,
194,075,094,467,612,111,690,220,088,866,409,361,681,925,846,405,228,253,934,
624,178,947,401,695,682,008,048,021,380,327,448,598,113,073,811,581,843,772,
290,338,739,824,221,559,328,991,663,668,797,487,322,013,708,003,504,790,707,
108,542,929,874,281,673,578,035,812,346,428,884,823,687,328,993,152,427,795,
480,318,139,327,666,229,664,650,620,584,913,205,160,373,978,014,533,992,063,
267,757,921,180,306,254,352,089,808,659,289,976,368,916,532,432,082,994,978,
017,605,712,756,517,381,840,398,599,899,000,413,838,861,201,529,327,543,745,
477,412,790,436,171,405,384,350,369,287,137,211,239,520,559,439,258,461,835,
677,411,383,281,570,886,629,772,814,541,894,641,238,743,895,662,327,366,050,
980,441,847,468,417,231,197,569,626,618,108,529,787,949,853,679,690,533,894,
812,062,902,365,009,957,130,918,400,547,410,367,694,242,051,609,816,008,262,
657,408,971,624,054,907,701,873,306,652,503,027,719,206,537,159,839,808,157,
135,173,109,407,888,461,209,031,674,905,502,688,216,235,827,559,043,641,483,
013,391,213,974,386,050,081,734,710,236,189,773,079,694,809,765,015,108,979,
199,753,025,403,454,783,196,829,632,021,309,302,568,979,254,950,389,425,762,
825,548,667,242,607,913,043,204,011,617,923,339,461,653,375,772,251,414,792,
316,634,944,980,731,830,346,144,484,156,571,191,803,993,680,160,834,523,955,
684,151,159,936,343,639,703,699,030,383,707,828,395,903,984,901,860,872,468,
767,787,341,270,414,369,320,242,214,429,892,882,849,972,406,009,527,443,997,
584,736,845,046,287,913,782,964,427,811,513,444,044,662,782,112,092,963,952,
250,531,192,402,530,408,914,084,353,950,662,139,086,276,064,473,334,421,025,
913,409,928,308,490,403,614,107,503,469,478,295,325,721,197,105,723,929,905,
724,058,150,521,676,500,474,861,491,811,034,823,552,255,154,142,510,816,022,
234,105,796,143,386,815,331,903,040,774,894,873,122,570,037,368,342,694,497,
055,748,413,571,131,023,352,738,461,696,114,961,085,596,789,244,500,471,245,
849,414,570,334,201,033,633,755,335,991,096,003,855,422,824,609,895,574,803,
473,533,875,266,391,549,880,289,469,680,757,423,273,288,974,932,735,643,053,
306,098,819,524,445,288,195,908,450,087,645,600,801,031,119,032,995,280,155,
079,385,500,208,678,355,008,663,456,742,253,538,762,240,497,093,614,988,950,
958,388,148,943,242,251,701,726,068,868,665,310,442,859,351,305,913,083,327,
073,609,037,046,051,292,575,135,757,227,216,481,647,627,236,989,068,313,875,
101,615,432,941,555,278,437,447,114,779,596,395,614,771,676,362,885,384,852,
257,310,476,709,594,777,483,334,167,758,986,557,497,099,161,896,914,726,483,
627,347,235,660,031,873,510,671,321,859,115,737,474,870,825,177,395,164,884,
942,584,991,244,745,456,033,337,099,831,857,178,609,974,903,514,612,703,354,
068,681,328,521,941,935,700,116,075,718,823,964,558,124,782,619,826,008,421,
434,786,990,021,578,387,620,046,958,440,043,776,997,510,756,054,512,316,004,
962,698,741,767,376,568,196,352,431,564,719,642,946,283,258,791,842,601,359,
978,848,450,052,932,834,943,102,522,463,974,648,156,238,131,010,215,295,451,
142,207,133,629,494,006,710,050,691,851,267,717,756,397,296,619,353,247,329,
767,645,396,727,231,565,281,550,797,633,092,913,184,787,764,766,806,551,232,
776,005,156,255,440,961,269,253,509,009,365,583,544,663,093,198,319,587,013,
069,587,269,109,519,283,922,682,841,343,424,873,770,040,477,050,473,509,968,
352,819,024,467,285,658,234,742,816,817,991,048,788,023,096,266,745,943,440,
005,807,429,248,119,394,137,345,870,299,956,829,169,490,472,931,792,842,331,
450,274,448,507,626,737,254,906,106,892,790,802,182,642,150,961,970,104,230,
726,400,029,743,092,536,219,673,282,303,490,997,409,548,744,500,104,839,844,
960,634,864,999,485,163,745,945,852,572,433,395,532,793,932,330,990,455,307,
803,275,773,810,990,971,376,055,187,100,048,980,016,720,374,134,880,622,386,
238,865,303,360,593,432,935,113,632,057,738,093,509,260,268,157,529,508,101,
069,250,696,309,281,986,057,675,569,550,764,891,698,967,525,917,427,009,321,
937,361,169,921,186,507,740,798,387,826,709,293,702,491,674,747,937,932,203,
756,442,067,424,755,864,961,637,497,608,793,269,387,751,574,896,109,546,706,
485,280,274,988,927,752,864,708,854,419,226,799,554,160,465,663,877,647,533,
520,697,665,879,390,960,041,871,347,940,680,641,224,245,282,530,251,361,078,
566,224,849,414,013,045,480,396,527,170,557,875,323,987,385,103,246,352,644,
313,400,817,672,914,560,252,749,330,623,581,289,317,386,205,193,813,927,511,
006,451,035,720,928,722,167,651,714,563,259,355,013,553,494,383,273,022,905,
869,284,479,381,047,040,035,817,658,562,030,940,960,232,710,653,402,249,616,
498,917,454,869,036,608,950,246,603,836,252,544,620,942,842,421,365,196,164,
008,410,477,708,897,760,900,376,213,220,394,022,881,103,203,835,236,844,323,
512,723,331,220,263,838,219,798,817,893,734,240,631,051,413,080,366,686,995,
393,106,179,724,046,715,085,089,262,609,154,080,001,765,155,710,462,000,246,
907,492,368,976,184,739,095,417,237,388,124,751,751,943,816,685,882,665,952,
143,629,578,569,118,732,815,161,330,336,193,334,644,595,782,295,043,368,143,
389,639,068,765,544,666,775,209,431,445,826,291,039,561,996,429,465,121,744,
012,704,277,660,777,487,160,346,154,847,917,876,651,300,634,850,054,274,582,
175,847,743,641,367,019,708,392,980,818,395,258,011,716,694,942,428,829,655,
602,774,973,648,823,071,254,614,807,894,287,289,901,327,227,095,978,374,251,
167,589,510,242,931,691,896,214,487,858,359,466,385,157,679,581,095,283,456,
957,497,656,294,496,404,348,591,888,933,251,694,461,119,620,888,931,039,991,
304,241,452,025,621,347,753,278,554,726,256,041,212,198,887,075,763,517,043,
733,831,859,789,413,108,083,559,580,965,114,298,457,805,224,422,617,390,224,
869,957,647,078,317,137,373,759,595,026,729,007,491,990,079,773,219,871,101,
541,470,850,873,846,972,699,072,195,974,223,351,844,521,093,762,777,125,088,
686,574,315,906,548,465,804,230,341,809,711,791,794,507,841,194,886,416,557,
456,314,251,327,992,873,201,583,280,072,862,894,545,433,973,884,167,340,477,
213,572,825,352,655,770,632,459,983,029,979,173,244,222,010,845,421,298,993,
361,349,425,804,805,539,902,303,534,005,087,026,015,050,365,248,761,950,734,
361,366,596,550,719,590,082,955,780,639,186,011,476,928,580,640,236,438,097,
170,780,799,055,870,470,782,638,570,046,385,508,024,985,514,672,236,927,100,
774,864,982,543,510,825,923,864,002,772,029,125,002,106,139,279,167,519,824,
889,976,032,440,346,894,475,296,439,977,221,393,592,180,089,191,882,921,220,
954,362,094,555,724,097,271,626,647,095,001,435,602,297,052,957,016,732,664,
748,727,616,217,527,258,790,260,545,531,043,075,936,136,673,144,421,258,112,
466,905,469,738,508,232,001,086,024,513,253,461,216,512,961,386,553,044,855,
181,927,511,495,919,066,968,602,154,732,037,805,037,603,831,595,695,025,095,
351,559,349,057,014,333,029,319,019,367,937,010,644,714,434,239,981,748,451,
509,114,690,130,069,823,100,495,290,680,855,819,990,819,775,325,166,323,745,
402,092,199,204,685,891,387,185,667,002,884,586,576,881,191,485,685,209,362,
632,772,038,907,146,626,331,835,457,544,622,299,987,142,561,973,647,336,540,
785,652,454,423,547,219,210,167,435,960,742,789,096,223,715,285,596,907,420,
143,663,619,417,122,052,810,616,045,539,961,363,579,881,707,259,452,091,589,
157,634,032,477,897,905,111,962,777,330,026,924,009,029,041,109,671,909,816,
422,971,376,425,983,876,518,776,769,370,760,121,302,330,207,579,986,042,767,
297,405,809,579,283,875,875,594,610,639,693,210,657,679,762,300,355,018,334,
545,904,453,542,833,768,503,046,841,666,823,245,040,557,134,093,267,282,218,
272,314,047,323,719,771,308,498,773,074,098,722,196,201,076,246,031,929,645,
331,828,356,252,238,676,437,261,977,587,799,946,624,560,998,686,621,331,198,
620,747,165,529,343,575,417,183,204,148,003,153,422,251,073,925,526,474,463,
194,219,373,641,934,448,149,390,070,954,227,926,571,741,018,485,788,289,985,
793,854,984,580,396,601,320,597,397,332,905,163,277,504,726,294,574,667,511,
393,144,655,680,750,030,734,624,269,590,247,787,084,374,373,632,098,780,868,
463,145,583,010,854,523,160,131,846,095,696,539,080,311,436,952,775,561,253,
062,248,569,811,757,962,758,341,539,377,715,115,665,775,508,574,353,698,542,
713,014,697,980,164,421,390,790,994,576,303,742,127,767,588,214,859,008,211,
075,622,983,048,606,607,686,539,443,711,992,361,130,321,644,005,501,953,805,
507,156,678,350,525,506,583,046,750,226,246,731,433,872,960,659,845,306,055,
903,523,102,363,965,105,169,678,964,111,862,799,118,274,133,781,154,461,346,
728,824,481,984,116,826,759,361,691,075,981,685,454,560,611,039,999,973,008,
481,463,420,221,098,878,410,722,999,928,998,786,641,256,262,076,307,644,985,
281,696,170,724,588,494,033,686,022,321,264,773,875,710,923,256,939,135,856,
006,754,965,032,326,339,669,863,023,520,102,645,676,262,680,174,357,291,467,
990,715,699,345,832,289,723,263,634,300,311,583,553,130,650,933,813,684,847,
653,336,755,141,838,266,865,191,179,353,319,835,917,262,915,755,357,258,405,
209,802,833,334,288,979,512,320,004,915,889,574,059,849,618,987,351,987,266,
362,309,014,897,249,580,499,940,217,562,946,882,345,295,853,676,664,160,626,
837,675,998,392,371,189,960,193,108,433,968,580,678,022,637,197,372,845,261,
956,617,048,385,418,641,186,947,006,163,318,114,673,410,808,682,203,779,572,
012,018,706,539,955,074,967,377,567,961,787,986,254,862,136,470,312,656,386,
566,700,511,367,513,480,676,082,724,660,028,232,009,966,801,838,978,087,785,
328,729,803,549,298,042,774,711,181,763,378,146,109,857,833,330,096,416,319,
069,691,959,184,397,991,321,214,346,969,001,615,829,513,317,916,256,468,938,
280,565,030,801,032,118,987,291,471,420,909,077,090,851,170,800,574,300,705,
473,459,816,000,021,289,369,197,863,463,052,921,157,978,464,233,674,549,907,
531,050,725,797,880,456,314,164,272,858,626,730,969,580,481,058,703,406,452,
732,448,167,005,355,964,790,954,345,452,129,607,833,074,740,760,255,025,420,
324,377,721,815,109,884,989,794,619,569,248,717,192,118,638,066,262,001,980,
399,338,629,866,439,947,887,389,040,880,062,439,217,227,842,418,455,837,276,
476,483,305,128,543,350,391,482,141,725,856,811,175,015,873,146,827,962,972,
170,116,002,612,554,609,438,930,482,798,730,068,601,427,564,401,867,631,736,
019,918,610,457,880,575,839,284,797,360,116,063,383,023,140,124,104,661,398,
368,926,732,484,542,944,689,687,745,714,364,706,451,844,542,058,789,039,590,
114,948,766,044,827,071,077,204,705,657,203,744,627,661,143,715,022,589,740,
387,706,586,875,401,709,743,786,519,390,528,515,949,902,082,300,509,834,217,
726,862,852,310,911,407,256,534,693,831,904,273,811,214,350,860,500,330,938,
354,755,679,030,586,103,472,098,746,071,767,402,208,370,077,361,496,920,639,
612,785,878,017,823,568,480,419,654,077,251,276,518,461,450,612,635,150,060,
860,201,563,705,677,735,489,634,659,888,126,985,106,726,412,008,018,361,812,
438,106,495,561,735,207,458,945,398,589,827,469,897,747,282,942,972,178,291,
415,754,317,447,644,440,001,177,955,083,531,103,587,655,611,355,480,554,788,
364,881,741,936,683,492,611,619,615,656,252,401,004,555,740,648,407,289,270,
735,857,642,003,593,854,297,023,131,247,743,681,592,078,585,807,072,643,175,
273,397,098,236,131,366,816,326,383,449,457,108,619,480,386,277,701,527,612,
681,901,642,729,717,576,413,393,790,222,010,750,515,673,803,971,479,824,517,
688,268,117,308,820,454,529,074,728,844,179,057,263,329,746,433,044,632,433,
874,008,947,187,438,045,623,931,825,207,710,463,755,111,506,594,802,484,991,
717,369,443,591,413,013,765,297,633,181,741,872,167,759,084,598,284,698,151,
458,928,713,430,158,873,930,113,943,527,988,763,162,322,829,009,370,958,136,
318,475,115,125,024,037,071,032,552,934,880,702,212,490,892,243,353,583,307,
530,146,689,663,722,035,569,197,037,628,002,126,361,364,005,387,755,019,187,
310,617,157,739,467,448,312,113,193,585,808,750,920,137,216,817,791,973,635,
684,924,740,308,413,002,797,793,972,046,381,219,751,701,554,039,761,552,080,
325,740,960,205,255,866,463,560,590,260,948,095,309,543,711,331,926,003,337,
167,383,079,214,303,957,968,471,141,077,535,078,879,227,627,087,118,176,972,
959,118,541,219,652,796,394,092,958,654,124,880,805,462,226,505,418,330,016,
250,005,826,338,578,168,674,563,626,187,729,100,602,091,044,361,197,084,358,
375,011,326,063,103,185,457,166,784,368,879,272,619,500,276,890,979,182,345,
841,577,860,158,288,575,724,385,793,106,046,006,408,551,954,333,902,015,530,
644,970,889,892,110,861,556,671,008,849,063,060,448,244,463,978,471,243,658,
005,243,363,942,128,122,184,325,051,823,807,780,942,319,301,801,293,348,592,
775,476,315,483,926,202,964,630,054,003,340,721,984,263,262,375,120,896,853,
109,150,598,179,191,433,796,512,972,944,276,688,850,855,109,575,319,084,415,
821,384,158,761,183,318,997,544,250,537,904,200,311,836,821,129,265,356,424,
648,429,033,769,260,553,227,844,055,488,830,582,802,154,831,622,827,179,241,
103,305,228,598,256,461,866,591,432,667,498,131,928,966,322,599,590,267,035,
408,440,284,592,018,064,684,621,632,461,762,482,875,392,815,500,646,651,658,
170,659,043,660,009,399,147,569,593,354,103,201,208,191,752,217,425,793,599,
660,715,373,126,036,641,548,636,290,816,876,320,202,732,397,559,393,230,654,
637,320,807,457,810,302,206,820,690,852,014,016,512,653,814,101,411,806,324,
552,302,958,957,945,415,315,485,571,812,712,985,756,007,428,542,313,974,139,
906,681,604,016,297,217,965,030,357,440,967,515,601,495,573,118,897,827,103,
049,382,055,826,256,767,405,384,551,469,645,200,902,151,410,148,203,336,073,
279,089,262,842,061,639,227,543,066,398,602,209,516,975,836,037,358,453,218,
865,760,046,256,616,236,106,256,971,435,487,783,065,166,864,154,597,302,517,
987,072,463,321,920,431,086,122,152,749,252,270,924,235,236,483,645,318,688,
533,127,449,070,119,242,312,744,516,536,275,248,759,743,441,708,947,193,662,
797,540,155,923,976,295,539,107,649,643,652,635,763,401,052,975,518,541,675,
473,046,761,765,108,210,146,432,127,906,771,071,528,084,389,630,806,921,431,
819,883,072,203,215,779,237,948,011,745,770,423,032,780,279,089,595,529,915,
757,419,839,942,939,510,440,944,818,481,517,911,544,964,130,831,508,696,024,
335,234,359,542,317,282,180,842,799,456,177,226,536,359,137,806,048,004,549,
501,774,700,658,805,609,515,302,157,187,431,856,319,811,486,569,138,203,973,
279,329,820,038,178,061,713,923,112,690,078,893,809,414,939,989,413,359,524,
720,732,074,863,494,472,440,263,532,942,721,178,477,645,617,585,081,530,337,
206,146,290,167,175,405,179,516,728,425,415,814,694,409,721,874,076,669,257,
678,356,181,615,448,762,883,757,611,300,651,921,035,150,657,520,853,206,979,
184,343,712,032,056,785,643,696,503,119,321,799,779,456,051,383,705,409,538,
404,694,112,661,109,653,609,441,038,646,308,007,926,827,300,368,722,105,562,
490,431,917,079,535,708,716,359,228,490,634,687,954,412,703,715,196,495,297,
477,335,588,960,084,630,161,898,593,424,234,313,291,583,748,521,770,548,897,
609,827,033,702,662,698,297,437,160,140,985,102,473,139,501,844,215,813,401,
846,318,716,665,047,061,561,837,768,397,586,433,544,836,487,790,349,270,447,
699,477,490,507,986,618,441,028,325,770,594,545,290,871,818,539,609,606,664,
167,247,828,348,495,049,205,818,346,543,945,078,191,315,535,826,896,593,365,
462,674,232,921,098,526,178,516,407,983,962,428,421,519,316,186,995,403,128,
697,606,848,345,509,299,566,178,834,765,566,289,919,211,438,033,276,637,369,
948,623,033,010,311,884,111,284,087,069,453,887,681,215,984,751,229,552,946,
414,435,197,164,043,897,350,486,090,646,011,904,016,956,671,517,131,018,067,
154,808,164,468,589,642,490,644,212,178,485,899,943,378,344,393,036,130,466,
065,185,460,695,757,259,005,133,128,690,750,585,013,528,654,389,074,238,052,
396,537,345,752,322,512,675,787,157,872,122,312,422,476,831,005,822,327,126,
432,231,677,730,808,072,304,796,797,951,871,893,498,187,750,973,054,283,708,
172,348,978,790,672,203,172,585,544,481,487,805,517,091,876,526,868,779,143,
637,462,747,682,048,174,441,384,271,374,507,988,403,526,560,326,854,533,643,
024,167,779,533,634,198,823,892,242,313,319,986,596,686,256,798,449,810,148,
411,984,118,010,791,938,505,217,464,425,673,013,170,461,436,536,530,093,581,
481,037,534,901,187,610,325,405,477,093,314,019,550,313,835,770,891,563,648,
406,218,293,128,921,072,057,284,243,164,742,543,174,271,806,881,999,722,921,
298,791,535,397,962,967,015,207,185,961,082,153,179,419,991,177,846,290,549,
120,886,887,186,078,838,768,435,642,886,751,456,122,559,091,764,845,375,868,
132,078,827,668,891,407,262,107,228,955,405,775,738,726,277,539,818,162,754,
903,552,528,770,187,320,034,975,632,338,690,804,493,125,590,380,138,254,129,
798,697,104,668,102,358,307,742,411,065,184,042,870,439,628,784,697,578,630,
340,522,936,845,762,518,608,568,438,572,878,376,616,764,281,614,988,714,430,
828,131,479,999,621,474,201,425,110,365,289,811,232,053,904,060,079,105,779,
885,982,992,667,779,241,700,464,384,246,230,981,799,009,599,671,557,865,054,
526,966,395,364,600,048,151,803,054,652,927,493,794,906,467,596,930,009,478,
369,216,628,713,695,530,114,005,295,882,437,398,452,279,942,392,428,324,561,
227,518,692,214,144,554,964,632,768,360,123,376,691,781,308,938,170,140,394,
741,841,363,997,887,134,254,684,595,982,890,118,774,468,701,796,034,395,746,
880,920,934,533,254,398,181,877,161,851,443,358,151,616,472,088,978,907,856,
471,687,943,060,112,829,913,074,067,397,187,043,040,004,675,088,613,662,826,
613,094,930,193,183,826,201,205,169,726,670,243,529,366,302,964,249,829,161,
869,063,767,425,895,049,268,777,610,205,239,430,951,087,731,795,146,549,265,
307,322,656,876,218,556,584,784,726,096,028,908,755,785,992,724,731,367,584,
095,237,511,648,152,960,269,403,630,648,734,782,467,282,515,888,196,638,228,
655,248,037,552,186,012,142,134,422,243,239,866,767,793,867,157,634,690,932,
545,875,643,950,446,988,858,809,869,464,246,016,155,646,199,364,411,194,144,
925,299,987,552,251,594,735,466,711,887,218,589,794,616,816,817,235,456,690,
933,956,640,512,931,204,249,991,370,562,966,754,692,427,342,350,573,269,149,
993,062,287,313,110,292,856,091,788,240,598,637,573,217,746,749,335,321,153,
036,770,345,066,149,875,755,426,441,250,555,797,015,269,544,635,666,393,171,
019,924,887,262,762,156,427,401,481,861,241,518,813,106,386,283,690,716,316,
630,569,411,806,295,899,815,918,464,835,280,483,833,964,653,303,075,831,094,
456,048,725,811,029,074,431,931,984,107,792,047,231,837,124,604,355,565,831,
119,722,620,368,416,854,555,133,601,418,187,753,504,939,253,377,055,605,202,
551,353,903,395,402,966,326,406,514,564,453,498,080,909,615,993,505,545,872,
071,815,456,386,751,054,721,490,834,060,519,253,583,119,270,316,833,027,925,
902,581,771,142,927,143,470,277,839,687,655,961,515,082,045,026,684,718,307,
195,444,821,956,148,703,584,365,082,686,086,251,561,313,453,868,160,525,202,
282,706,387,039,485,634,806,622,759,740,337,692,900,345,604,397,514,038,189,
006,693,492,091,857,058,821,199,819,636,262,082,773,458,346,362,446,444,307,
934,208,590,047,856,774,784,540,045,281,565,276,733,266,449,573,751,447,036,
039,629,266,745,923,672,814,423,969,606,361,728,700,528,528,380,439,681,927,
189,129,445,658,774,032,270,874,785,367,035,903,929,036,339,082,630,136,653,
611,329,885,219,368,559,564,013,780,336,869,163,609,256,586,017,225,129,719,
942,898,846,238,931,565,083,244,735,251,570,700,833,468,583,059,593,956,157,
014,047,989,624,420,275,489,292,886,106,292,670,005,500,172,880,066,579,824,
070,005,096,916,607,668,270,969,738,108,641,489,296,495,276,994,732,455,193,
846,684,623,232,137,224,621,291,540,531,819,848,775,771,311,109,786,753,722,
511,517,285,176,712,126,357,606,405,169,489,535,415,061,726,291,259,570,861,
070,319,563,031,366,278,430,055,292,242,871,421,978,068,784,717,512,738,813,
935,705,341,200,046,709,876,073,015,862,474,983,935,527,857,951,774,317,368,
130,632,398,771,117,373,809,498,812,168,435,733,252,700,348,196,791,758,514,
792,566,625,990,584,062,862,123,633,214,328,043,465,753,046,453,079,506,356,
081,681,563,804,458,169,671,556,514,972,677,941,152,151,001,855,888,110,528,
054,387,823,496,407,557,461,849,406,110,050,612,091,865,289,584,602,937,866,
751,984,638,595,280,364,633,252,814,759,743,967,203,653,549,720,051,042,931,
528,078,821,334,898,359,573,469,167,892,430,641,879,278,138,242,620,792,988,
717,304,189,852,705,140,499,165,787,712,624,491,260,835,384,878,166,451,882,
098,938,527,367,508,687,758,657,436,073,829,619,228,755,598,748,394,791,124,
870,390,913,121,703,079,135,533,850,862,302,840,235,086,961,456,822,967,444,
403,319,240,819,318,456,600,948,108,308,535,554,270,694,373,860,003,637,805,
473,688,934,554,930,375,863,676,721,993,898,158,724,258,435,717,692,850,605,
131,527,719,787,727,036,907,983,736,187,978,095,428,600,390,538,972,321,737,
251,424,143,772,416,948,029,385,528,518,767,608,760,505,192,426,433,566,853,
392,977,142,944,471,991,356,277,288,521,203,687,047,750,261,272,829,210,580,
173,749,839,522,913,539,924,779,645,570,608,572,614,034,127,557,561,084,156,
225,717,556,985,094,566,810,397,303,317,348,951,765,521,575,145,722,165,683,
009,979,512,680,085,309,475,875,803,478,250,177,847,914,637,322,914,165,476,
570,856,195,597,687,065,178,917,115,288,506,111,260,752,190,222,520,617,570,
445,522,399,713,848,895,582,435,299,444,603,735,350,092,522,077,296,978,019,
950,657,073,389,744,814,746,181,293,695,757,197,640,054,662,009,503,741,540,
205,770,270,904,639,596,082,658,467,120,323,441,718,850,965,008,641,014,423,
793,522,209,111,715,659,613,296,272,633,021,522,068,503,936,203,496,943,778,
854,363,471,085,257,027,816,019,540,368,739,472,181,651,023,857,774,770,855,
586,007,653,483,914,988,860,296,574,156,719,074,456,950,278,132,612,850,265,
463,961,114,560,249,538,931,942,177,532,187,545,424,612,811,115,130,707,285,
152,768,883,967,351,685,281,881,698,584,499,703,203,159,045,560,260,159,295,
428,067,762,062,061,425,770,774,503,982,964,537,218,508,333,650,621,890,999,
638,903,580,284,184,050,618,622,368,518,117,572,072,521,235,887,054,308,867,
661,284,089,847,084,844,991,404,735,609,385,532,611,054,681,951,074,303,463,
687,924,796,497,699,178,989,877,863,773,800,556,868,260,529,469,490,392,166,
485,821,195,283,997,826,130,369,051,977,650,672,643,384,704,862,661,958,088,
071,556,829,038,995,951,038,810,141,526,395,522,593,183,876,519,904,232,979,
019,665,277,591,878,237,542,422,104,226,817,099,038,157,367,100,653,640,034,
911,138,485,484,674,140,364,483,820,169,443,726,895,560,151,687,160,637,368,
842,781,759,215,521,404,245,323,041,547,268,270,833,052,215,772,730,339,309,
345,099,060,355,950,580,963,773,730,222,494,728,170,534,077,416,087,356,985,
328,944,375,041,343,235,307,866,614,499,321,771,124,266,384,427,423,508,046,
162,664,876,008,705,013,457,913,511,914,736,140,661,559,696,186,442,147,688,
672,382,347,824,812,821,650,850,484,349,797,164,576,667,190,030,414,249,207,
289,380,036,446,734,802,376,291,232,272,574,718,957,024,182,912,619,287,550,
996,829,407,053,143,453,014,146,620,470,968,815,725,382,108,347,228,326,314,
140,489,747,948,947,596,211,065,241,805,628,899,088,589,218,734,220,982,430,
630,708,180,346,335,965,915,187,398,933,208,327,502,753,078,929,498,688,830,
348,227,270,657,255,300,007,660,728,913,066,575,198,724,191,509,749,141,308,
796,630,419,872,203,471,449,578,237,615,037,631,396,870,196,810,966,723,273,
255,716,692,199,306,714,577,163,713,437,200,494,478,630,823,974,374,576,125,
629,435,778,767,797,889,059,015,673,108,210,475,887,084,287,641,030,187,329,
084,600,568,316,446,074,880,376,676,632,070,383,100,277,355,686,695,794,162,
306,199,811,218,029,578,685,318,726,347,639,708,088,161,277,796,947,495,070,
144,193,803,446,722,913,376,753,204,802,496,555,103,477,759,542,507,250,304,
016,559,157,592,585,540,873,153,595,143,021,544,231,952,855,742,585,404,702,
096,754,785,580,184,241,853,916,745,939,363,860,351,176,891,263,310,894,796,
892,956,735,926,879,396,586,055,513,449,105,418,587,216,552,054,935,429,554,
333,774,267,251,470,887,702,429,047,036,297,013,599,078,345,055,526,397,558,
310,742,067,551,874,642,061,907,815,792,550,772,303,569,040,327,781,739,675,
016,638,068,721,801,005,656,885,986,779,603,714,238,538,748,839,122,879,924,
982,060,456,312,799,210,311,388,804,688,825,488,816,842,275,119,457,365,311,
123,587,145,044,515,814,270,742,155,933,728,296,397,623,994,759,264,620,422,
999,936,043,918,218,675,833,778,215,281,893,771,206,310,114,279,988,693,670,
432,457,395,591,437,511,639,733,991,960,681,765,270,644,334,773,521,347,134,
746,095,929,949,091,500,099,872,480,017,342,139,114,030,015,274,085,654,674,
938,518,568,420,222,708,136,811,906,700,894,191,195,072,079,429,441,760,223,
382,555,659,599,153,112,413,467,945,451,516,500,333,801,709,373,656,430,348,
914,388,670,263,975,813,691,150,624,718,892,637,007,462,933,130,627,993,819,
822,244,805,550,937,107,177,779,349,001,382,901,112,178,158,984,945,126,819,
729,864,799,246,514,847,234,789,350,835,046,176,405,856,884,424,072,094,837,
029,820,026,838,236,874,467,428,479,478,182,521,473,655,448,139,260,127,804,
406,672,409,111,898,831,880,629,457,519,775,637,012,808,114,029,371,669,703,
115,054,757,701,832,949,340,321,643,680,126,551,269,913,955,121,223,665,116,
052,403,372,524,151,957,777,623,170,422,267,852,353,365,542,710,989,839,445,
952,530,267,495,943,164,264,009,414,313,968,104,096,200,700,880,387,341,732,
774,512,833,230,887,304,326,449,776,293,549,561,394,556,999,376,626,309,423,
774,467,722,053,269,823,252,102,389,971,978,420,521,650,725,210,313,753,303,
583,318,425,955,665,297,167,240,185,691,449,912,030,381,352,167,067,456,262,
547,393,376,626,802,034,915,530,224,606,289,830,838,900,320,569,609,573,365,
206,829,115,584,294,828,776,961,122,389,253,274,660,536,225,847,386,675,362,
041,858,313,238,025,995,192,084,538,862,523,008,427,498,045,257,095,164,029,
242,915,896,070,418,883,137,189,338,491,964,665,178,868,034,828,243,429,845,
100,616,622,833,772,840,303,660,581,865,357,278,103,469,908,458,631,959,252,
939,872,782,462,923,521,696,321,488,150,693,665,147,209,548,738,277,968,750,
438,102,541,102,651,220,293,043,907,342,041,618,400,261,574,236,280,690,891,
997,847,305,112,532,124,549,734,558,181,764,814,641,646,233,656,811,872,564,
817,790,226,700,108,829,028,697,167,666,182,789,934,491,782,153,265,182,204,
237,228,924,137,637,592,017,495,151,939,355,101,869,143,378,150,461,007,136,
727,211,365,294,481,075,390,331,387,442,427,677,413,399,105,246,927,565,174,
769,561,176,665,039,481,532,100,766,502,141,246,012,709,620,764,893,187,203,
505,408,085,431,794,087,734,233,125,315,336,739,926,245,012,536,886,526,119,
405,122,847,391,476,845,262,942,967,539,965,023,654,802,718,319,646,242,298,
400,976,524,409,977,655,380,524,532,069,893,742,122,028,253,811,694,570,556,
065,213,400,136,858,608,717,039,444,725,806,281,443,672,148,158,465,382,347,
572,912,264,060,578,425,644,661,895,575,076,779,428,145,242,103,307,818,085,
700,095,580,196,206,672,740,335,133,254,721,825,013,782,038,937,841,768,637,
073,430,217,497,977,330,443,896,734,289,134,937,057,969,205,644,243,694,566,
843,662,786,673,650,564,909,942,476,800,991,225,336,101,331,642,750,770,566,
070,105,492,245,303,029,394,946,863,763,525,711,402,786,268,863,666,133,049,
447,952,125,109,955,920,630,985,988,144,222,345,428,069,971,890,819,695,394,
373,993,833,077,759,942,261,031,103,196,895,295,361,142,050,337,912,123,766,
038,391,787,255,012,758,007,090,572,934,010,250,747,924,051,357,471,542,337,
177,766,813,793,072,534,512,430,345,761,574,392,231,232,231,523,831,180,795,
045,656,798,542,238,812,540,473,079,907,076,750,697,013,194,085,119,584,163,
592,623,566,849,094,278,113,922,065,984,335,954,014,504,272,533,600,128,880,
490,102,411,188,534,946,306,590,972,026,015,236,454,279,864,454,992,764,524,
924,685,701,269,864,210,005,586,164,237,611,289,342,565,763,612,795,622,828,
117,272,340,201,752,999,575,404,804,712,046,458,072,609,238,125,136,490,856,
046,818,249,311,013,151,203,268,187,295,321,305,861,393,895,144,561,071,749,
094,526,274,187,070,971,691,995,067,499,805,322,748,969,179,765,773,271,429,
150,104,530,642,275,556,763,128,391,601,705,998,941,841,456,105,106,035,159,
047,344,914,924,391,066,435,484,433,190,455,025,602,350,566,619,474,315,425,
251,460,333,537,976,508,001,701,738,922,500,749,798,443,034,396,263,599,987,
835,913,234,797,076,708,342,574,436,169,301,556,369,694,117,951,265,748,706,
549,704,910,309,094,631,577,487,895,198,928,934,194,242,813,136,651,511,916,
051,383,379,181,738,783,613,598,240,100,215,996,821,286,623,114,016,096,275,
228,701,584,994,176,678,573,190,847,920,408,776,562,276,418,851,257,788,343,
072,606,911,265,439,153,676,413,250,876,832,518,888,424,198,012,696,941,912,
463,598,378,985,159,943,575,867,898,398,051,985,603,093,251,960,326,458,716,
945,223,286,009,209,160,445,756,891,297,345,100,200,906,146,012,083,120,635,
657,738,392,459,509,594,759,498,124,225,303,743,908,210,390,511,608,931,122,
998,529,642,029,210,784,321,978,749,366,119,938,373,862,261,292,668,674,845,
223,608,235,190,377,054,157,849,336,345,486,398,865,216,143,603,995,210,972,
085,853,489,521,932,106,418,594,445,191,712,007,359,157,036,736,627,537,466,
759,878,783,030,891,780,354,710,262,875,441,064,240,999,323,389,521,649,082,
851,782,052,672,995,814,091,488,638,317,093,725,652,887,429,778,176,211,609,
823,733,990,532,433,969,050,576,721,838,697,891,959,786,886,688,947,872,856,
488,169,607,568,502,213,667,888,836,164,151,047,802,587,964,035,845,073,136,
485,832,835,285,838,346,069,487,233,558,012,346,382,668,786,570,087,888,612,
576,654,457,015,593,420,075,441,858,671,419,917,531,608,733,858,098,461,048,
868,315,097,463,282,722,177,814,421,651,560,053,904,239,582,865,876,573,644,
700,400,781,167,495,361,386,769,862,449,788,537,060,745,031,830,426,345,754,
093,228,021,465,329,331,705,854,963,436,458,628,327,125,228,941,135,481,714,
899,787,696,848,565,281,349,012,290,259,297,204,467,982,483,008,306,326,461,
738,016,456,632,153,848,203,337,074,450,020,371,981,703,541,271,903,200,715,
474,982,238,874,845,391,117,712,781,054,383,990,410,959,356,172,526,299,342,
387,616,614,779,748,865,894,802,348,716,619,117,521,131,442,486,527,591,964,
560,331,628,308,619,262,984,901,369,280,363,391,540,154,182,996,847,086,825,
816,710,322,987,964,119,158,841,704,092,653,736,796,763,754,631,734,444,692,
379,999,126,056,703,330,724,979,733,416,694,272,900,592,168,490,623,981,344,
920,044,265,031,849,620,519,671,082,481,790,540,845,063,116,417,196,603,950,
966,034,076,078,420,076,591,036,063,120,770,219,232,160,347,229,488,703,287,
959,293,821,114,231,012,887,378,286,454,814,613,770,301,062,728,462,562,162,
529,977,112,307,374,994,148,895,728,469,708,978,788,439,525,006,910,917,353,
027,221,995,670,981,229,569,979,882,248,691,937,619,196,120,532,612,151,917,
369,533,529,847,619,216,724,907,230,123,391,457,192,448,576,298,594,763,999,
797,049,286,166,534,805,458,196,791,181,187,225,436,502,102,928,460,925,789,
975,950,526,356,015,217,331,011,980,690,259,512,709,568,465,417,372,829,825,
779,004,797,302,131,487,555,852,728,219,592,477,882,776,004,147,232,594,178,
121,957,135,339,578,331,640,372,564,517,112,105,822,722,094,590,361,600,132,
331,361,595,232,711,171,018,434,885,003,682,585,712,695,477,131,997,849,690,
966,812,056,596,671,929,298,891,753,794,171,464,197,479,976,069,899,161,744,
581,219,792,655,094,183,426,735,157,638,665,106,367,830,687,758,485,089,053,
714,052,053,298,873,269,793,568,590,535,815,172,647,306,637,888,063,451,777,
932,257,060,875,127,466,322,127,633,895,647,531,341,834,096,224,105,677,253,
352,766,545,199,787,438,706,876,123,855,432,855,880,064,159,646,915,515,075,
745,333,133,402,517,906,280,453,824,255,084,983,151,290,586,885,419,377,136,
076,111,721,376,121,433,361,569,153,437,539,105,175,747,610,501,549,098,909,
684,748,730,557,045,434,984,998,619,064,967,694,233,318,731,319,355,829,361,
143,132,644,601,987,532,131,496,015,090,282,991,269,916,115,985,921,908,736,
429,803,216,728,295,797,292,197,191,317,336,682,483,053,475,405,446,775,293,
218,931,584,398,305,244,540,308,491,494,756,574,245,745,128,236,067,828,211,
158,506,374,841,349,751,073,162,040,785,626,809,237,693,961,496,866,751,295,
955,610,231,238,528,376,759,754,821,186,042,013,074,580,367,275,943,207,387,
651,682,086,029,061,156,573,901,424,057,028,464,893,667,739,041,578,776,982,
663,957,833,184,960,417,133,667,176,113,113,312,084,912,575,650,429,122,347,
566,552,845,871,869,133,242,943,404,357,364,288,799,465,030,726,612,019,325,
681,192,884,660,516,737,515,275,058,600,366,863,059,410,389,223,389,614,854,
081,265,471,007,320,733,827,352,876,624,590,005,689,277,619,071,280,837,844,
890,603,105,889,532,645,501,694,778,684,968,740,099,267,460,263,867,777,864,
254,767,659,369,491,027,895,439,957,486,040,427,641,052,109,848,979,844,505,
225,709,182,355,386,158,288,271,350,571,969,418,941,973,113,284,570,372,552,
012,810,182,449,761,658,960,921,409,659,019,326,600,891,550,760,759,504,146,
521,334,174,138,166,589,166,697,274,789,796,338,091,130,000,627,122,167,576,
749,955,030,435,657,272,396,967,242,646,100,133,345,349,652,569,828,118,422,
256,492,370,670,487,840,047,661,925,256,764,359,070,781,711,767,243,673,801,
037,462,000,050,164,864,433,891,708,216,814,874,563,164,045,815,999,463,860,
607,793,817,934,378,170,847,263,852,977,862,236,291,429,259,685,569,424,715,
032,314,492,933,498,963,736,325,255,522,261,755,115,940,258,773,915,862,111,
737,548,131,247,216,444,386,248,063,332,667,282,364,741,674,929,270,045,187,
842,640,699,937,650,527,852,379,363,979,712,648,708,598,321,274,965,744,500,
978,036,035,966,031,532,487,214,677,918,086,555,577,485,302,870,512,661,810,
908,218,979,795,702,236,141,282,589,220,556,323,430,972,936,482,495,034,407,
097,667,853,347,990,894,104,366,259,812,844,038,874,600,832,704,035,247,323,
879,732,735,621,980,745,853,696,252,248,762,411,078,908,440,182,929,395,041,
339,700,380,365,689,729,912,107,133,058,766,164,861,188,128,960,701,222,243,
418,666,375,072,256,934,346,434,247,587,792,307,555,742,835,688,934,231,844,
955,279,784,799,112,582,027,284,141,753,916,467,456,950,196,392,622,165,308,
321,428,876,946,425,740,855,477,067,704,327,345,831,855,753,513,233,388,040,
775,857,505,857,834,720,607,221,114,734,709,060,266,246,086,275,988,748,132,
791,078,760,452,585,474,947,574,025,897,408,102,966,462,036,020,927,314,159,
435,447,593,568,769,990,182,861,920,969,722,908,252,284,472,256,121,510,010,
723,730,258,425,710,493,747,685,650,480,983,274,578,028,750,567,469,642,186,
595,979,393,526,061,349,766,166,455,179,007,697,255,994,813,824,233,278,728,
972,214,769,772,788,488,411,617,630,266,815,245,261,504,566,634,482,664,733,
607,525,105,009,186,243,162,889,941,732,536,017,790,347,337,235,380,024,415,
270,700,718,700,612,266,860,796,079,192,888,532,694,599,119,726,017,045,094,
758,320,473,566,685,827,995,180,859,741,625,789,552,169,288,020,432,541,629,
733,390,240,671,704,808,430,472,144,154,536,512,096,526,620,020,071,078,071,
348,945,759,991,568,652,014,066,777,991,556,231,392,028,137,408,570,543,433,
980,083,722,099,654,425,955,192,788,094,552,221,816,607,614,493,175,757,720,
017,252,731,911,580,364,282,020,420,632,507,307,042,543,115,886,627,376,042,
352,893,181,860,552,383,159,708,012,994,014,506,824,044,280,444,818,823,880,
163,908,606,088,114,406,215,489,732,347,197,812,999,507,010,060,561,215,297,
361,654,970,356,518,035,348,086,691,036,065,128,763,691,067,476,403,835,266,
288,498,980,144,784,059,299,866,889,586,012,546,742,417,049,532,645,422,941,
703,429,000,996,731,700,586,229,496,466,610,709,446,086,454,348,348,046,818,
239,949,825,105,802,559,511,204,949,848,795,929,447,236,216,144,716,677,362,
142,897,407,452,398,101,383,275,026,651,056,994,566,473,984,696,203,015,357,
059,778,030,065,648,836,070,931,709,911,412,372,776,072,475,290,053,455,149,
561,614,624,175,958,743,760,621,855,405,575,250,763,575,097,561,536,022,923,
974,518,570,489,068,498,055,128,752,386,286,342,110,207,303,493,609,866,384,
261,848,448,360,503,705,646,959,000,008,588,687,844,152,146,703,889,352,120,
631,950,045,722,333,579,687,572,541,142,089,736,963,086,892,833,214,222,601,
791,601,037,921,305,113,902,664,774,107,380,263,179,121,507,978,900,227,571,
055,931,659,417,557,128,181,737,440,954,317,604,285,524,597,228,423,543,681,
372,471,575,809,023,086,730,081,383,546,903,237,122,301,012,709,435,059,368,
286,057,804,367,051,689,957,591,881,475,771,051,327,825,658,744,055,428,425,
626,698,821,224,298,761,721,235,466,770,938,886,624,590,047,883,716,038,712,
577,079,319,106,490,506,575,923,364,077,485,537,405,135,514,405,337,421,591,
994,809,904,501,868,156,161,534,924,696,415,438,544,137,772,652,879,742,462,
676,996,951,749,308,653,941,230,055,774,884,355,756,329,689,741,863,759,544,
407,006,772,490,169,098,171,375,330,416,708,858,291,839,373,032,581,876,257,
667,736,415,876,776,494,763,143,628,041,014,633,793,796,129,486,719,784,760,
021,624,487,865,539,881,661,188,376,105,002,761,012,316,416,763,204,469,937,
153,301,129,819,743,331,427,318,051,114,981,795,163,798,804,313,320,926,048,
530,053,090,501,776,999,837,682,595,608,157,990,010,332,532,842,175,746,234,
662,110,619,943,359,586,924,878,190,465,730,964,985,347,025,621,349,828,548,
459,336,658,586,779,633,349,201,881,648,794,374,550,612,882,762,894,144,109,
093,855,744,115,650,097,736,020,923,719,474,283,945,396,523,062,634,713,666,
613,603,464,671,738,053,312,895,866,196,007,607,278,227,656,863,210,526,017,
322,246,039,009,310,567,661,408,675,961,980,568,568,633,773,024,983,306,835,
903,474,830,754,326,327,597,002,472,268,613,314,995,048,956,823,890,257,288,
319,849,401,643,383,593,985,086,761,336,885,726,966,923,300,404,940,884,609,
146,562,100,098,632,717,728,807,617,271,728,333,846,012,987,887,440,046,278,
572,090,532,761,549,589,396,080,320,660,017,042,754,059,029,049,151,424,825,
616,011,160,233,566,476,535,668,760,959,140,406,771,965,864,204,786,053,135,
567,034,280,572,952,464,764,891,321,694,181,577,206,960,610,740,193,708,404,
442,341,935,462,104,503,112,614,831,662,154,317,692,746,742,513,358,794,757,
842,498,131,309,425,657,833,095,624,125,637,418,636,708,650,215,323,830,000,
915,971,577,682,899,127,867,280,496,032,119,068,467,004,940,090,810,057,657,
712,348,632,481,838,342,107,907,269,569,465,325,305,203,868,880,884,546,326,
414,945,678,326,529,186,108,781,003,353,304,453,352,676,737,542,197,877,304,
550,383,917,547,703,393,245,176,180,704,449,266,694,383,015,801,719,458,718,
956,980,469,036,026,483,510,397,902,499,910,037,573,128,406,867,134,316,130,
893,767,302,483,680,399,544,028,171,524,937,941,983,502,389,892,825,512,755,
060,558,293,821,872,392,978,330,453,230,625,336,883,942,534,278,833,688,102,
480,985,201,900,437,501,249,258,473,400,452,289,572,923,856,956,275,850,807,
943,378,515,870,912,588,920,730,872,459,527,664,476,173,698,498,559,802,387,
071,154,688,488,340,640,143,475,819,211,798,315,018,964,309,680,131,188,220,
164,661,150,263,161,934,297,473,730,367,242,259,950,367,383,976,835,221,979,
830,842,741,593,269,301,201,267,221,068,458,753,457,585,688,537,809,805,683,
256,489,161,380,186,228,246,994,569,287,749,756,348,926,949,924,385,457,834,
914,722,797,912,973,647,669,571,307,484,981,526,274,852,826,441,448,885,626,
909,773,415,157,576,306,832,427,710,615,093,316,444,297,018,329,251,929,354,
223,006,328,925,260,366,509,281,382,349,725,297,070,991,737,169,734,260,901,
513,597,123,737,717,694,748,548,958,820,771,396,553,342,786,980,982,588,103,
751,104,588,282,153,101,814,912,797,422,888,419,106,651,224,699,908,956,512,
600,221,090,158,084,856,403,626,052,582,797,527,365,124,149,488,397,238,435,
514,978,388,320,384,632,248,773,017,607,237,686,372,776,075,596,700,546,753,
199,271,180,840,059,353,925,408,205,205,739,407,752,833,680,533,762,697,681,
700,245,208,305,296,423,720,674,618,033,937,907,907,697,142,189,324,943,408,
481,688,504,289,180,470,446,646,000,452,035,330,741,184,535,920,392,291,894,
314,829,052,246,090,299,263,659,946,893,491,785,032,237,350,041,035,263,621,
889,355,331,896,807,023,073,143,506,791,828,398,739,793,853,830,378,052,738,
758,990,377,526,064,549,661,422,974,423,772,617,827,779,568,368,784,939,003,
611,101,748,583,096,910,635,652,427,581,851,222,121,728,977,763,517,836,224,
780,470,801,017,272,867,101,565,418,651,227,772,560,814,289,078,955,168,798,
773,681,635,172,062,759,261,515,436,680,066,577,691,101,518,923,192,274,071,
740,067,369,500,662,705,181,428,446,478,354,458,013,703,860,742,553,199,555,
164,445,843,294,146,786,799,622,708,032,803,981,653,106,438,954,336,437,730,
140,611,136,381,616,738,159,295,101,945,229,052,174,769,705,665,252,566,719,
512,115,169,475,646,486,010,104,015,187,244,463,973,750,125,205,486,014,194,
092,401,101,910,752,120,398,016,092,682,863,502,464,653,384,023,429,949,802,
160,862,161,488,802,188,726,213,230,345,039,223,197,620,666,946,049,855,504,
996,364,246,469,410,391,684,421,366,894,767,014,340,739,759,333,900,926,772,
319,755,699,681,546,538,591,743,757,725,579,441,042,326,191,165,686,938,282,
331,972,780,274,555,149,369,781,006,791,156,603,487,858,444,631,111,666,253,
204,688,654,493,048,900,337,854,453,958,081,612,886,104,256,298,718,939,808,
584,866,210,014,959,517,868,977,072,842,896,355,991,767,002,511,731,815,419,
930,986,519,386,105,655,054,485,354,936,590,086,934,709,000,470,865,472,043,
579,486,595,591,646,691,921,800,075,845,801,856,919,383,220,513,899,391,306,
215,836,461,948,492,967,436,898,084,647,964,220,353,444,716,044,599,765,855,
049,199,470,611,113,560,411,368,243,294,657,777,927,939,168,571,156,911,800,
673,577,179,826,747,767,680,802,944,120,700,407,844,894,612,559,822,071,057,
057,013,911,597,836,464,998,281,960,619,313,756,869,253,719,032,167,614,454,
663,695,448,240,379,048,604,948,971,388,856,602,265,194,740,052,513,959,799,
256,863,052,202,451,392,065,842,714,086,777,384,196,134,665,152,639,514,164,
355,102,299,446,926,339,366,837,078,616,625,497,913,380,642,314,055,222,447,
440,057,057,498,113,431,173,149,028,046,676,638,799,415,529,776,476,800,973,
528,480,339,749,482,528,817,777,879,871,074,986,871,582,590,219,420,538,028,
724,376,567,272,864,769,243,683,581,076,173,579,070,186,661,960,465,896,876,
981,410,045,120,075,132,953,143,474,458,054,947,914,657,611,194,920,713,253,
620,354,203,694,908,863,570,353,771,670,110,101,598,653,434,036,247,356,039,
945,259,313,266,483,793,153,769,632,082,472,674,459,636,048,138,669,470,950,
959,370,946,800,275,686,033,045,875,576,866,092,425,331,042,776,623,414,704,
861,666,282,448,152,423,881,697,774,955,842,542,829,004,163,262,179,438,355,
108,278,206,820,392,253,946,873,894,460,182,451,925,890,557,920,775,120,786,
669,760,350,504,701,667,462,860,482,211,610,358,618,998,698,621,018,449,082,
472,558,419,661,432,805,640,733,986,242,054,286,763,558,426,436,130,823,827,
511,350,353,146,780,329,179,599,302,270,748,400,588,956,744,401,953,033,822,
758,229,167,615,496,787,488,751,968,932,755,295,257,545,469,301,912,521,742,
637,082,489,571,721,049,128,512,669,022,661,563,631,321,253,444,680,050,782,
096,061,947,814,764,072,577,569,776,048,327,616,302,203,375,311,966,509,786,
221,056,042,554,897,325,632,400,003,967,882,206,214,470,372,230,292,061,194,
964,083,005,253,110,315,911,896,023,723,045,744,625,454,848,744,527,179,596,
125,813,596,709,935,697,549,338,003,454,139,253,155,195,499,773,612,200,702,
007,553,173,515,556,648,699,645,216,943,579,583,433,306,797,009,027,793,323,
446,102,070,595,141,484,518,392,435,216,185,102,319,050,624,780,348,621,656,
812,524,490,534,005,263,284,927,764,299,481,982,010,824,562,967,474,607,032,
006,568,636,153,859,313,412,279,591,191,674,076,046,480,335,830,844,394,524,
605,456,338,535,928,963,258,329,788,137,031,730,202,727,447,367,464,172,570,
973,022,297,697,560,032,251,252,924,265,063,397,475,914,655,754,540,916,434,
192,545,600,552,466,302,024,480,862,468,436,601,448,357,597,797,847,295,320,
860,600,976,726,143,405,328,983,968,541,015,303,497,637,127,587,629,051,932,
942,163,449,394,471,849,691,667,476,025,764,294,245,950,232,659,343,410,183,
995,530,791,746,591,305,070,785,391,695,465,475,185,087,470,642,612,359,921,
188,630,536,152,244,024,997,303,825,562,733,546,412,658,581,121,324,993,462,
654,916,522,661,235,755,833,638,164,793,211,703,322,971,775,882,079,065,519,
129,989,734,941,856,785,625,345,290,354,892,030,169,738,748,764,100,703,476,
257,949,805,061,412,837,943,950,329,673,761,016,380,726,583,893,737,610,858,
407,304,044,216,721,012,555,816,114,046,792,787,268,688,972,368,551,331,252,
928,856,574,204,440,252,357,818,808,328,086,253,886,109,869,465,599,339,530,
913,048,342,148,611,585,190,188,691,290,135,566,155,587,647,754,655,362,396,
869,376,010,387,883,824,384,979,689,250,551,106,990,037,899,813,372,418,436,
896,165,971,089,856,565,788,466,616,286,193,107,938,326,069,347,410,558,003,
067,564,921,181,164,891,909,933,068,132,550,161,829,032,665,290,804,155,109,
058,843,704,817,802,304,943,210,042,359,892,994,618,105,313,464,081,820,458,
507,074,773,062,477,443,265,933,355,252,656,774,042,280,792,562,243,631,102,
064,098,124,076,483,733,365,807,648,242,605,294,179,869,145,462,187,396,752,
066,293,503,499,224,696,232,363,308,959,685,266,874,792,591,815,255,324,665,
338,149,109,594,665,901,429,868,648,657,958,885,623,115,848,615,545,962,065,
247,962,632,415,779,417,182,481,638,494,878,354,961,741,457,365,025,483,881,
155,007,050,145,873,542,983,398,775,171,074,129,367,276,077,005,771,474,870,
298,919,903,512,755,571,267,364,405,844,492,472,219,543,342,355,680,758,092,
829,478,216,373,314,290,596,125,047,196,403,458,568,916,646,968,817,954,091,
749,420,806,165,273,353,252,600,565,784,021,818,550,782,554,200,285,778,112,
816,144,790,600,011,881,330,844,268,674,922,803,798,305,414,513,969,399,085,
034,368,111,328,238,824,241,201,429,785,180,462,597,360,637,914,119,558,432,
955,462,311,032,706,121,997,469,336,755,498,738,476,713,965,775,071,293,742,
422,228,017,153,674,618,240,408,999,769,257,197,806,070,062,163,150,169,372,
115,519,932,287,923,922,131,491,059,585,895,196,269,131,501,668,712,345,765,
211,311,203,444,038,010,222,625,174,184,061,742,783,373,249,812,384,569,256,
034,286,620,558,684,118,457,611,221,516,746,485,845,314,062,300,231,700,767,
608,190,021,063,271,972,930,076,314,245,643,263,186,933,944,538,854,711,325,
659,050,997,345,554,419,235,751,661,957,704,224,494,337,596,913,123,302,597,
858,317,134,338,553,049,138,698,302,389,834,173,590,590,439,301,365,165,028,
936,005,314,257,831,919,451,720,646,941,079,633,871,475,450,891,572,189,898,
518,944,963,639,709,658,468,201,221,749,217,522,132,114,658,274,040,947,894,
656,837,578,648,750,711,347,968,662,878,348,686,051,255,316,188,241,204,979,
255,347,859,019,799,847,261,831,205,399,610,782,956,167,399,009,279,419,297,
593,867,643,942,067,971,548,605,297,375,467,136,212,691,617,856,070,558,934,
117,194,842,494,967,411,817,544,374,640,280,781,850,813,237,022,135,975,670,
591,870,068,447,093,125,454,631,198,542,942,144,592,274,622,956,734,279,092,
325,473,221,440,136,985,385,785,742,781,812,197,537,586,272,063,776,034,708,
651,347,720,909,265,349,315,008,078,293,457,388,111,015,363,886,084,415,388,
428,765,570,912,827,081,971,690,477,195,625,679,665,142,437,586,943,996,002,
560,054,864,277,901,866,076,084,967,237,642,720,009,928,478,178,060,434,759,
427,427,743,222,603,552,304,313,797,240,415,077,798,448,729,884,275,103,146,
294,005,993,441,646,002,351,258,425,010,953,007,968,446,189,918,740,536,715,
756,069,729,861,405,709,755,254,240,452,605,757,141,339,269,695,054,447,314,
704,444,360,107,100,285,033,957,657,269,211,611,629,417,693,999,403,465,157,
442,727,548,225,910,412,433,597,020,908,026,173,485,270,880,570,777,368,243,
105,117,602,617,164,789,953,463,315,866,785,987,295,766,365,416,111,098,387,
232,492,182,386,441,914,205,414,324,162,384,617,765,154,162,371,845,001,007,
671,885,153,383,736,311,596,054,118,514,610,471,086,321,412,206,076,233,587,
503,029,385,030,459,252,593,416,132,557,816,394,857,083,805,421,134,737,552,
646,964,770,369,375,336,230,333,038,824,435,368,735,227,765,241,249,645,986,
000,406,557,439,156,627,767,955,252,650,264,626,435,064,629,151,781,703,497,
737,085,284,631,586,787,511,945,738,135,032,320,111,528,832,986,780,370,482,
860,816,411,120,767,393,954,989,741,805,004,179,246,876,291,511,212,443,971,
627,513,879,218,224,857,556,408,461,786,752,756,915,676,272,904,889,294,337,
363,027,513,229,479,594,139,469,685,575,220,241,099,261,276,060,762,584,145,
136,062,374,850,938,708,369,478,576,506,192,548,984,135,984,402,462,223,482,
986,657,026,505,779,732,894,179,797,608,803,428,588,699,203,869,743,352,184,
200,338,118,813,065,301,773,588,210,355,193,695,448,328,951,475,070,932,925,
210,184,781,344,755,716,939,144,485,788,294,127,504,563,455,664,154,048,882,
253,127,770,590,379,470,497,394,422,476,492,025,205,517,595,008,046,503,997,
538,581,602,503,323,305,369,149,370,336,390,978,005,384,445,201,350,403,834,
009,741,004,633,447,148,219,230,471,858,714,822,002,427,388,640,926,858,321,
576,256,575,008,004,448,719,611,849,505,148,843,672,691,734,639,927,731,487,
574,020,898,893,622,047,547,927,602,806,909,172,566,892,315,801,513,626,676,
867,077,292,632,351,878,379,516,713,937,847,070,440,135,810,459,014,935,382,
053,243,774,281,018,950,501,185,176,673,140,458,523,965,323,145,125,920,249,
670,454,977,569,023,828,920,518,082,990,144,747,734,351,974,342,603,623,422,
942,244,650,357,682,301,159,113,296,823,144,255,054,579,788,400,906,643,573,
343,023,239,758,122,884,153,548,046,810,267,801,439,536,066,851,602,720,253,
646,714,684,423,270,366,341,462,759,184,572,994,787,259,090,280,687,496,707,
731,997,283,460,697,860,081,173,742,629,888,899,645,484,147,150,651,092,812,
492,086,496,362,276,345,545,059,190,226,944,176,786,250,515,199,824,931,154,
281,185,296,315,309,206,204,832,562,194,178,439,086,858,306,880,755,461,992,
280,255,051,603,718,900,813,353,583,029,810,167,316,059,516,998,154,730,768,
315,665,817,966,793,189,405,302,157,364,225,612,749,950,328,791,236,721,592,
315,600,299,667,411,480,464,034,422,183,447,318,232,569,357,892,151,087,730,
443,186,696,166,588,809,457,771,522,486,668,127,944,764,742,762,288,317,999,
351,936,253,393,266,232,769,770,542,044,257,685,283,248,165,991,624,270,771,
230,924,651,818,065,597,645,630,673,425,074,779,928,203,690,656,602,315,526,
432,845,201,149,066,757,246,292,549,614,322,217,338,599,628,445,903,642,463,
160,599,517,554,948,199,452,283,099,354,399,297,254,103,672,449,811,414,439,
973,937,079,242,193,357,438,220,004,340,161,592,661,542,555,509,084,052,654,
649,769,883,760,907,665,914,882,431,323,274,260,653,195,119,759,426,287,221,
762,510,913,546,597,339,831,468,805,359,298,268,655,501,491,219,992,632,356,
561,780,202,824,529,448,617,374,185,915,460,883,504,689,444,455,137,115,808,
585,713,919,657,811,965,437,979,980,025,370,442,120,028,792,702,924,565,509,
413,768,593,041,568,675,322,503,052,394,535,411,397,061,853,360,958,995,057,
433,850,524,923,318,833,328,871,953,792,385,734,949,746,890,462,511,076,102,
047,905,889,084,225,405,076,574,556,699,601,448,664,277,629,790,054,602,742,
823,861,573,195,926,740,651,281,769,976,718,628,953,547,763,459,852,945,739,
748,294,901,178,224,317,793,267,067,765,325,661,157,867,717,013,931,304,701,
404,623,808,977,484,562,754,632,519,379,399,626,555,321,157,297,692,192,272,
484,288,543,115,333,478,455,802,432,948,613,516,647,185,501,818,217,094,060,
344,106,013,596,454,677,273,503,180,819,797,311,216,075,353,237,559,392,438,
581,604,833,946,995,833,138,605,149,034,187,458,290,427,056,973,138,840,976,
959,185,581,151,616,409,799,429,148,095,066,497,558,613,983,950,718,068,736,
385,903,432,689,745,910,645,070,070,315,352,003,352,625,945,388,882,907,429,
366,027,430,604,520,561,300,380,210,700,010,199,000,464,507,121,249,914,111,
793,251,496,756,329,013,111,294,476,353,874,722,461,958,432,395,358,913,066,
292,157,458,497,867,667,435,845,698,316,906,165,672,707,071,554,927,483,405,
102,146,416,319,971,897,110,464,770,019,894,683,392,640,426,206,554,202,673,
238,967,319,483,844,850,258,891,865,244,781,174,319,076,711,437,897,158,537,
278,526,676,921,941,671,395,533,340,973,914,931,166,719,428,996,757,663,560,
989,900,345,045,770,705,403,955,760,110,733,184,324,355,290,977,864,658,127,
685,244,566,923,360,091,383,026,835,952,438,233,943,198,448,671,865,621,483,
041,166,526,241,393,207,463,690,794,042,456,622,635,844,683,136,483,737,071,
718,650,404,813,943,073,824,098,472,264,664,878,267,545,088,334,320,141,586,
945,140,792,088,148,782,818,175,892,092,718,573,273,922,728,694,804,409,258,
851,072,897,015,394,760,150,397,590,936,923,684,212,540,834,489,110,329,915,
376,587,722,024,315,529,707,325,439,177,118,575,233,529,468,666,721,980,806,
921,814,419,296,801,298,915,098,674,411,922,791,910,348,267,471,863,292,510,
046,510,662,738,064,189,811,442,143,214,372,002,907,976,590,349,366,757,626,
105,037,270,746,858,067,980,022,016,423,153,677,810,413,610,090,955,858,829,
504,293,170,220,657,520,245,653,025,208,734,557,837,779,577,524,717,695,075,
015,629,745,148,427,454,496,416,380,484,733,608,243,411,643,405,506,120,828,
776,891,164,458,815,353,674,021,580,009,518,418,865,702,176,996,226,156,922,
082,309,511,713,927,346,824,163,608,929,489,192,178,023,422,332,517,041,388,
715,430,919,767,014,856,716,744,796,149,626,513,944,538,951,041,251,272,047,
801,416,128,555,779,812,224,691,997,972,841,483,352,040,825,921,200,124,336,
494,029,628,078,177,942,386,006,396,029,491,847,037,833,776,606,185,424,807,
638,076,110,266,237,342,904,571,292,890,354,512,898,523,289,565,551,353,752,
536,760,170,023,729,291,043,594,520,553,105,309,051,115,710,479,211,259,275,
139,069,397,578,469,171,064,805,993,364,289,749,661,136,430,416,999,366,484,
428,668,872,779,157,093,489,954,508,961,454,856,940,674,685,089,163,029,973,
018,231,371,089,504,177,670,811,310,693,396,309,315,833,214,215,835,961,397,
927,215,789,240,831,197,740,847,878,478,721,314,760,532,791,895,973,905,039,
532,654,492,560,806,521,514,761,051,550,583,963,525,189,006,937,339,474,947,
753,951,053,470,870,970,679,023,441,061,313,578,386,775,766,075,269,661,612,
652,520,110,721,605,771,899,421,045,875,927,139,994,498,299,200,673,594,835,
694,528,657,232,044,227,489,638,095,909,866,670,261,707,002,781,635,842,654,
480,070,644,812,249,905,363,864,857,156,610,374,930,753,998,499,356,268,353,
698,697,464,817,720,780,913,855,612,321,575,794,982,271,068,926,103,811,441,
276,829,965,208,158,126,969,802,601,301,409,035,212,563,969,902,888,093,051,
121,182,927,099,485,542,849,744,034,038,518,155,444,182,119,505,441,320,077,
070,822,790,531,330,041,044,226,114,577,950,131,872,848,173,844,312,823,087,
104,676,486,085,821,060,059,124,069,680,362,356,179,543,806,485,233,697,396,
372,911,096,883,639,153,231,062,513,465,137,057,922,663,763,520,844,014,874,
848,511,870,356,808,813,723,947,093,600,762,247,177,615,668,408,962,971,359,
163,453,949,797,224,447,611,993,062,464,082,981,016,692,571,243,117,218,490,
871,985,526,380,516,951,432,733,411,704,242,842,881,856,054,146,866,520,270,
228,757,064,274,427,778,076,882,992,898,832,018,383,479,808,181,427,638,453,
032,894,951,378,269,390,050,960,465,633,718,932,081,750,118,895,138,307,777,
194,121,561,467,324,383,296,178,649,869,746,252,056,724,552,644,115,926,931,
682,474,091,070,926,925,766,654,287,578,475,820,207,447,642,747,604,361,631,
362,705,575,505,463,959,851,967,796,286,931,933,830,782,323,857,944,437,267,
573,630,813,223,413,784,732,533,312,990,984,255,121,850,183,265,793,167,644,
141,383,808,159,371,172,917,469,673,138,037,159,830,762,072,077,548,400,617,
211,237,457,683,900,732,611,194,431,070,658,368,065,831,668,991,171,830,094,
115,785,977,021,567,067,105,557,415,045,762,168,646,731,620,723,182,825,275,
080,474,652,030,160,060,997,075,186,997,645,476,315,281,198,972,068,825,400,
245,184,114,481,571,462,517,208,084,520,257,817,328,795,252,956,433,199,076,
132,394,956,282,987,540,046,118,502,141,229,571,262,032,636,155,502,322,796,
705,132,473,789,302,798,308,963,255,898,020,062,816,700,976,986,833,910,639,
700,009,677,617,454,366,970,016,918,566,863,715,368,726,919,609,637,645,035,
632,609,021,519,975,676,438,991,478,051,098,740,715,070,456,300,870,321,647,
339,916,057,037,748,143,794,642,235,796,004,497,613,154,842,280,100,094,799,
595,023,695,107,750,660,719,745,461,225,957,410,704,884,007,252,497,727,283,
589,765,660,489,763,858,420,299,052,200,740,669,835,344,457,725,969,484,476,
171,852,082,751,251,929,227,326,371,828,875,311,552,061,613,325,656,518,823,
152,265,926,591,283,988,241,359,408,583,595,446,697,086,866,105,097,754,570,
709,453,750,069,638,794,491,319,595,675,862,752,261,491,651,432,764,737,582,
099,619,504,197,038,202,321,475,840,128,512,132,835,105,815,800,398,071,947,
013,271,383,404,136,071,257,716,995,379,949,533,248,970,563,002,817,713,667,
413,959,951,231,381,511,468,359,322,452,532,679,678,270,590,341,516,907,745,
631,966,566,250,987,308,359,035,589,461,600,363,109,414,577,304,445,115,438,
777,143,288,231,273,738,038,590,160,556,329,279,647,710,145,022,340,183,482,
430,103,824,064,900,173,072,027,814,563,504,908,057,349,029,363,750,535,591,
615,505,720,993,348,315,339,329,179,722,851,762,552,779,525,608,075,287,930,
721,124,964,016,680,913,210,333,883,350,565,223,454,410,755,586,750,506,813,
821,187,420,003,535,681,392,174,846,009,172,911,459,813,428,495,808,504,859,
238,084,394,802,812,688,891,273,066,115,734,745,148,382,771,048,066,529,819,
293,994,121,549,829,548,046,336,402,310,209,990,463,914,454,272,507,924,842,
734,790,450,668,744,489,850,350,551,622,461,461,913,211,328,037,015,535,623,
356,156,514,667,706,740,101,252,642,496,899,039,267,559,316,493,222,015,423,
914,559,802,841,916,224,322,308,925,082,547,858,905,942,443,456,143,691,467,
863,439,097,067,839,697,497,416,292,084,066,716,631,260,518,983,589,835,666,
421,815,454,903,849,604,927,619,812,347,845,698,980,468,704,443,378,442,228,
569,985,589,327,781,298,878,897,031,468,663,829,682,878,297,183,454,719,455,
083,214,660,521,228,073,760,222,090,501,424,352,875,011,611,497,618,187,670,
645,167,227,121,029,845,211,971,351,515,223,643,133,841,901,268,207,666,147,
893,483,900,023,839,749,616,274,305,052,032,527,899,854,387,745,021,742,754,
905,567,750,092,660,599,833,620,460,647,220,248,839,365,747,074,219,603,836,
011,359,349,408,954,976,751,121,161,729,213,519,483,380,788,028,415,751,727,
775,494,040,697,788,964,643,284,792,317,338,411,263,420,008,639,357,132,273,
451,960,299,957,198,018,565,682,015,329,464,626,361,311,332,842,963,435,289,
539,131,298,319,864,375,161,683,170,131,146,712,528,310,405,405,689,932,915,
651,178,650,492,463,863,871,035,675,781,433,414,826,663,662,010,074,525,702,
054,859,846,934,022,886,838,574,151,192,944,893,270,002,302,414,946,328,438,
368,279,391,697,809,697,039,739,592,930,485,349,706,293,153,142,378,572,694,
686,661,399,897,116,624,811,437,226,229,171,667,851,361,013,596,328,614,240,
859,078,014,483,267,201,287,182,955,680,997,949,236,399,962,691,677,992,877,
699,685,619,380,213,128,036,676,033,910,134,437,635,704,280,798,364,063,860,
984,489,221,332,931,166,666,803,823,842,150,261,430,226,470,764,753,463,380,
549,185,097,238,587,063,608,926,948,364,770,655,135,817,846,136,822,792,953,
027,337,977,167,589,857,691,432,915,667,717,365,293,215,461,570,731,364,743,
970,719,516,353,459,850,166,562,962,531,888,280,786,134,643,855,365,838,613,
618,617,660,499,620,997,981,347,123,750,165,181,299,463,045,982,363,919,960,
388,768,990,799,607,111,484,410,460,585,892,527,202,903,809,136,380,644,117,
459,073,601,121,220,135,753,632,943,067,773,140,604,266,602,171,502,920,848,
329,194,151,912,703,689,827,885,572,970,874,874,953,179,493,146,967,550,519,
207,011,561,362,557,557,323,345,127,549,015,192,266,604,324,094,482,045,533,
629,330,698,766,802,806,111,425,608,272,886,723,133,779,597,186,339,389,976,
122,005,638,297,061,920,307,598,864,620,518,803,704,610,387,399,825,779,948,
528,220,492,270,471,626,790,028,837,203,463,713,255,359,564,521,612,261,590,
150,398,230,061,566,961,278,920,444,144,724,473,220,422,347,369,302,079,867,
103,458,259,581,296,429,119,681,923,538,490,755,132,124,291,355,264,926,876,
465,368,797,020,823,998,862,590,316,159,177,461,613,872,494,739,801,142,177,
330,179,383,748,500,712,959,832,235,192,513,206,922,590,312,382,236,678,225,
889,162,986,157,785,069,129,051,082,018,569,914,481,764,953,674,176,882,446,
092,822,643,434,776,409,228,692,032,727,812,437,821,921,933,163,646,714,167,
018,704,396,336,486,424,742,498,499,409,337,917,048,753,616,281,715,094,962,
122,533,111,167,169,067,243,423,896,752,635,693,294,372,557,664,567,267,144,
558,635,026,625,767,513,170,600,280,895,508,001,333,438,611,352,480,822,036,
917,628,389,125,853,853,196,096,975,165,346,349,380,952,295,520,067,009,602,
779,950,417,403,412,028,645,537,689,387,646,956,220,978,351,482,239,630,922,
517,609,537,696,841,309,182,190,020,591,835,757,570,308,875,879,420,909,329,
483,626,041,083,358,834,154,239,985,420,405,562,671,467,801,571,814,112,826,
899,038,845,703,273,777,966,905,950,758,977,250,957,971,078,778,952,838,588,
245,482,046,334,033,646,483,719,837,328,030,043,259,119,943,119,191,831,953,
160,815,637,136,749,913,701,042,471,402,069,127,290,954,365,578,270,492,139,
607,226,940,092,482,199,851,729,520,751,215,928,452,724,173,556,094,430,281,
930,079,067,372,343,154,443,553,407,599,082,347,636,433,192,930,658,615,532,
187,359,542,551,564,385,026,439,516,398,307,486,481,438,783,318,528,392,998,
685,721,280,834,334,217,762,735,361,338,671,249,667,935,079,056,510,487,516,
896,918,141,357,290,348,966,295,248,285,891,414,152,136,519,826,853,971,107,
634,494,665,692,334,938,694,547,107,730,159,150,443,195,233,519,765,479,956,
847,361,184,247,631,810,624,233,991,630,585,349,835,112,337,911,001,007,367,
637,095,685,570,525,691,174,202,187,283,293,693,976,462,625,448,389,048,873,
647,479,079,069,046,910,497,119,958,823,764,751,999,213,693,223,016,726,706,
794,683,785,710,439,443,602,952,632,459,266,389,695,884,714,537,562,784,941,
885,967,843,120,319,174,244,979,358,468,606,853,983,579,939,373,587,800,504,
165,310,468,932,148,394,679,334,405,627,637,186,235,871,728,474,408,198,904,
618,269,386,643,085,288,971,500,123,316,343,237,386,763,160,047,772,974,648,
758,517,528,806,672,753,751,759,634,989,304,020,788,838,255,342,878,237,097,
088,742,191,738,053,958,213,646,305,553,309,492,044,225,491,065,393,210,486,
759,724,892,381,945,784,599,301,981,798,407,487,089,673,528,492,977,431,264,
362,812,119,848,718,427,569,105,438,444,868,928,232,465,385,887,314,539,311,
640,102,211,553,821,778,196,233,333,832,504,718,181,150,505,986,794,785,720,
966,608,882,417,513,783,971,221,818,545,897,915,494,056,876,151,824,361,325,
043,618,248,602,800,768,303,096,823,486,545,373,389,531,345,606,551,865,151,
092,676,256,446,668,432,132,636,872,506,063,057,040,982,626,598,398,986,883,
846,779,920,885,414,282,745,793,863,792,461,820,654,115,941,975,607,985,698,
275,317,563,744,244,611,450,519,567,220,600,572,846,532,337,710,211,433,430,
028,858,360,299,017,874,248,451,999,244,501,535,634,586,752,362,782,183,384,
536,190,806,518,803,751,250,253,287,111,152,068,367,064,431,394,629,208,660,
599,693,461,366,025,486,816,305,437,868,572,391,583,018,204,666,662,002,065,
455,564,481,950,746,526,899,919,830,551,460,035,993,010,196,129,576,297,612,
627,170,267,543,699,730,844,069,695,530,783,680,161,806,278,040,630,448,417,
145,008,062,028,295,762,023,798,455,641,118,825,130,799,656,233,701,396,036,
557,408,056,757,895,387,855,864,198,316,103,778,087,836,010,112,606,308,316,
589,684,476,650,706,982,224,573,295,315,554,949,962,512,657,324,560,044,857,
179,878,513,107,939,447,654,225,693,347,738,167,968,344,434,213,746,704,134,
053,121,788,711,414,862,106,496,759,777,500,071,070,593,281,565,369,207,644,
918,243,905,862,189,657,262,313,344,119,309,965,349,862,366,395,798,244,758,
799,406,984,098,926,493,903,017,878,620,864,024,663,106,518,364,140,885,914,
434,809,419,466,902,128,237,128,357,542,729,429,652,796,599,278,532,990,071,
673,497,252,922,689,833,488,253,028,807,605,224,117,667,774,315,395,750,196,
206,834,070,696,704,580,739,876,017,473,056,221,524,272,349,383,691,793,935,
177,306,217,146,978,924,846,900,310,068,397,473,006,866,859,116,982,286,232,
061,514,288,959,724,423,908,345,077,513,965,256,378,509,715,614,166,720,184,
378,120,093,092,788,255,683,037,632,133,123,697,569,586,414,801,135,116,818,
911,086,517,738,697,444,410,958,373,613,678,000,924,472,471,049,982,434,326,
479,964,401,022,739,731,718,020,305,214,220,560,971,329,198,492,595,750,415,
464,159,368,978,562,142,668,503,330,154,067,529,710,050,098,243,060,935,647,
979,206,219,370,939,585,008,122,259,429,496,003,822,326,481,600,434,310,578,
961,312,401,091,860,904,555,950,327,047,978,425,382,990,928,642,790,815,435,
191,180,657,538,265,074,765,920,196,274,276,195,374,464,234,859,139,864,847,
687,957,954,417,638,161,897,392,903,169,760,570,278,395,648,660,609,902,190,
614,011,133,857,750,977,911,892,389,359,521,355,506,602,965,449,793,892,149,
569,211,396,623,064,658,636,941,472,028,242,813,107,981,195,538,812,874,254,
904,503,599,096,911,633,860,604,066,875,531,524,727,715,310,708,182,360,281,
981,236,284,234,590,709,002,452,312,109,395,273,052,327,773,318,045,101,755,
422,950,072,191,921,243,790,453,944,754,305,845,735,398,918,183,005,999,316,
227,480,206,293,767,595,371,644,728,303,017,563,885,239,013,843,355,901,593,
599,162,205,886,099,044,936,858,094,866,188,098,913,355,292,602,917,705,428,
498,084,504,352,832,798,902,308,774,560,877,048,887,812,815,115,695,520,886,
263,947,304,344,186,812,950,281,068,802,614,873,159,897,304,171,642,752,492,
225,972,573,694,222,043,516,378,544,765,537,959,374,772,393,062,583,882,129,
545,499,807,540,453,823,660,262,804,552,973,117,673,739,371,477,916,208,147,
649,629,183,410,005,509,279,973,195,800,977,153,346,264,343,182,430,214,061,
237,131,102,831,879,608,953,600,566,120,516,205,272,327,696,461,641,315,541,
895,986,542,951,141,795,512,052,059,828,435,422,590,125,684,918,681,391,144,
582,892,596,358,618,220,846,405,616,846,547,105,626,684,429,672,241,401,611,
616,770,581,722,981,400,570,568,863,256,151,986,427,855,362,202,713,944,980,
763,290,243,339,647,121,440,716,016,995,087,952,309,511,144,498,152,747,012,
837,968,216,914,189,498,948,443,149,561,553,075,392,006,716,186,481,455,126,
552,493,078,886,689,751,643,920,873,544,395,523,428,496,352,615,907,798,078,
974,704,984,950,187,816,470,137,029,676,965,513,522,912,342,223,820,972,936,
410,100,465,197,561,123,807,487,978,110,645,596,988,337,131,748,322,562,945,
385,419,080,613,766,958,631,302,674,757,122,459,679,934,739,776,247,896,319,
852,019,162,263,261,076,439,828,990,025,240,801,342,403,469,326,499,610,132,
723,637,097,259,300,152,176,097,020,084,448,529,822,858,490,055,471,455,511,
841,818,690,598,459,967,284,420,022,644,732,137,805,483,198,325,071,786,795,
702,380,431,876,690,306,234,377,523,234,839,952,388,403,922,089,224,543,881,
166,198,141,126,531,093,720,677,592,394,576,993,553,088,030,470,602,183,112,
357,616,520,843,533,296,402,732,032,455,575,104,980,962,719,585,000,618,777,
543,198,746,246,239,038,582,463,806,818,331,919,858,679,119,677,920,617,048,
858,090,116,790,317,116,020,534,390,120,341,492,955,260,423,402,019,175,976,
045,512,714,414,286,978,738,116,932,958,218,078,387,424,429,571,475,796,420,
895,992,177,872,266,062,611,093,785,086,677,888,927,093,188,921,992,498,156,
431,852,192,224,509,411,853,278,118,404,737,900,667,550,848,280,600,368,669,
517,470,520,561,690,902,169,545,298,687,297,091,234,788,449,659,822,789,273,
817,231,888,226,174,904,833,701,626,114,841,188,220,314,719,086,395,618,040,
120,924,470,403,512,944,881,114,970,941,671,418,686,838,056,820,225,864,190,
715,711,699,717,115,746,770,896,123,364,835,384,811,323,322,440,348,608,112,
820,811,437,276,506,919,305,324,275,793,601,943,831,801,223,936,422,253,781,
070,905,191,977,183,947,244,984,972,141,745,842,671,462,934,483,496,548,322,
529,042,277,298,930,926,966,156,878,391,119,126,541,453,595,243,098,384,916,
190,117,661,033,976,928,344,623,072,309,332,403,441,351,406,253,146,139,452,
028,319,567,590,764,917,810,305,587,231,563,416,252,902,188,815,110,843,663,
914,357,412,280,902,103,534,795,038,333,525,161,321,844,296,987,992,731,808,
935,228,165,967,437,414,762,769,987,806,436,959,732,783,626,859,382,855,671,
094,654,867,479,542,160,942,128,157,399,995,424,599,661,663,187,387,931,367,
266,532,773,335,683,034,002,351,519,641,246,946,083,636,788,085,635,244,047,
256,854,460,096,813,515,042,558,455,408,884,706,449,013,144,401,455,011,548,
523,619,805,421,291,557,036,922,901,933,952,150,801,868,472,342,286,917,195,
878,649,416,554,610,904,000,521,689,494,255,094,875,993,206,337,312,926,078,
577,488,231,590,825,887,614,575,550,028,036,622,747,675,604,753,088,183,996,
908,498,909,969,700,118,379,384,338,562,069,034,742,737,434,763,212,078,311,
071,880,906,562,666,602,075,661,186,135,831,074,324,095,814,633,134,200,807,
464,907,152,857,828,833,305,903,455,372,146,037,651,876,156,327,050,230,949,
117,459,186,206,243,031,570,208,156,102,889,120,196,655,927,782,823,399,062,
390,863,254,753,687,575,942,711,179,054,151,867,166,012,755,862,252,455,393,
941,782,975,911,612,381,753,241,237,235,491,306,125,313,125,811,907,587,628,
314,948,743,592,721,154,018,462,114,419,961,880,484,127,217,247,690,366,904,
925,271,839,488,160,547,152,670,517,532,699,382,496,092,199,794,974,059,709,
793,327,392,716,603,210,829,567,901,867,525,588,366,613,916,933,197,171,773,
573,215,744,551,365,872,819,053,070,011,724,896,788,116,837,623,415,053,442,
800,180,318,631,416,485,458,647,536,542,384,039,045,832,598,539,593,801,327,
803,845,184,480,559,487,718,058,384,079,044,750,545,481,488,627,888,662,340,
892,348,735,435,193,303,094,190,424,695,657,898,126,697,671,133,376,721,482,
932,089,868,417,220,267,576,021,993,918,099,898,088,764,692,671,040,186,915,
430,993,907,038,746,124,431,865,673,581,124,866,861,567,017,891,121,651,164,
251,445,537,746,486,133,553,726,562,659,860,464,031,880,166,716,172,457,259,
399,902,076,792,574,135,680,578,928,467,375,768,069,928,194,270,529,331,025,
125,741,599,026,110,939,624,378,961,207,129,789,647,725,340,882,767,154,000,
133,447,093,982,625,587,823,033,879,017,710,077,356,988,664,426,337,048,706,
911,849,726,428,469,526,732,861,457,298,096,381,124,660,182,413,544,569,746,
397,935,950,488,089,023,013,378,326,064,093,419,130,621,078,967,411,568,668,
631,134,849,279,720,616,825,175,450,444,151,439,930,010,822,104,544,327,340,
723,423,878,014,430,929,389,712,630,089,310,221,222,490,075,496,445,334,738,
515,727,868,831,515,007,572,109,575,709,319,412,715,500,127,514,345,104,240,
288,097,093,316,463,212,490,018,919,457,830,518,977,429,305,810,171,375,986,
568,880,103,099,509,814,278,185,433,556,330,359,329,088,655,274,989,367,357,
510,275,472,674,567,808,228,955,191,980,407,769,111,095,503,044,880,132,932,
062,206,715,967,764,883,115,828,943,841,131,314,992,379,240,374,704,492,921,
097,641,923,129,834,508,501,338,072,052,305,210,077,171,515,649,684,348,901,
029,442,057,476,440,947,169,941,082,452,336,231,907,293,944,762,869,760,113,
038,824,230,905,404,267,357,774,356,783,417,727,744,879,460,124,436,367,208,
399,535,570,291,644,803,831,996,536,866,582,282,749,050,141,201,262,666,007,
539,184,937,763,984,007,532,365,649,524,857,243,108,411,831,692,370,488,013,
386,724,500,119,202,910,431,704,946,335,153,817,612,483,135,362,097,067,775,
752,358,634,943,349,152,979,974,218,492,139,225,940,650,367,987,164,337,724,
730,197,113,869,376,424,916,478,931,304,305,750,466,567,443,202,606,000,151,
979,252,176,528,776,333,094,555,625,466,014,513,915,507,711,852,107,198,630,
929,571,470,657,014,847,688,765,721,285,209,921,844,066,170,302,309,778,735,
470,322,276,843,499,091,234,783,439,182,616,949,839,536,152,682,166,392,042,
748,563,958,896,369,863,485,614,096,876,025,982,433,216,104,498,861,768,125,
082,264,343,397,358,363,074,774,992,168,559,750,286,103,323,414,133,238,904,
311,971,238,519,536,907,584,394,952,123,402,762,269,906,234,475,023,710,497,
445,204,497,965,329,860,344,023,104,957,148,213,265,733,885,506,913,955,302,
484,452,617,494,089,482,470,844,344,602,711,250,356,691,574,280,512,010,910,
002,498,997,735,997,628,641,778,066,174,057,205,054,932,993,936,624,582,965,
027,227,917,558,577,448,590,469,814,276,978,993,768,200,446,021,863,185,546,
258,491,411,234,403,499,325,343,366,089,706,449,924,850,794,647,571,079,792,
042,877,342,787,731,009,436,893,214,998,345,706,221,633,600,096,124,572,161,
907,553,963,250,483,856,839,414,546,826,687,393,883,782,635,264,665,517,818,
734,376,921,271,297,190,273,327,758,191,083,529,843,616,951,593,930,637,105,
445,875,859,950,100,174,904,502,351,202,526,411,190,166,414,178,705,658,172,
763,284,918,385,207,879,988,851,323,917,207,235,166,218,921,585,386,183,464,
406,801,149,439,307,341,194,987,476,885,636,891,136,543,702,829,686,000,128,
953,400,704,335,641,162,737,224,717,422,975,073,169,318,361,175,795,386,311,
083,374,650,727,900,938,839,920,323,941,060,260,820,818,601,643,436,981,772,
027,719,507,350,988,903,201,605,962,030,736,331,427,725,792,705,803,110,707,
946,886,194,133,873,504,958,239,150,686,297,569,168,125,271,789,299,300,168,
879,167,331,060,064,002,476,494,933,286,745,274,277,068,913,515,896,636,234,
506,081,326,469,655,222,492,314,440,344,054,445,247,286,399,436,636,898,086,
992,173,844,423,078,959,488,645,338,808,945,779,017,713,616,239,071,280,933,
979,798,665,074,003,400,422,551,709,184,403,715,596,870,426,360,939,935,745,
580,296,398,800,603,779,297,661,808,215,187,605,907,978,285,622,737,700,034,
417,815,334,133,006,835,351,930,744,744,183,467,068,811,753,127,481,291,303,
334,745,978,873,636,939,840,172,916,356,609,641,136,139,251,328,270,736,865,
255,321,758,393,475,643,812,290,417,466,346,834,078,225,585,783,047,893,995,
494,341,025,100,717,916,515,285,791,755,815,082,776,462,086,593,207,144,345,
307,642,836,408,270,275,676,803,622,095,664,275,757,891,811,866,498,648,238,
906,929,127,687,297,243,714,917,269,075,261,052,340,294,722,459,626,323,997,
853,579,877,607,116,328,154,237,215,717,745,426,677,036,981,717,078,699,271,
846,430,125,872,265,133,932,938,992,461,049,845,951,785,693,416,988,302,084,
219,756,865,678,395,003,148,032,302,136,630,101,330,081,476,903,729,215,686,
069,509,105,356,505,106,846,667,080,220,847,305,541,917,128,145,758,749,657,
076,489,027,463,727,003,392,578,887,451,732,040,924,778,693,609,108,698,419,
989,727,597,917,003,376,033,001,591,795,498,297,953,448,826,260,938,876,785,
366,382,114,288,061,732,069,584,726,408,474,683,749,976,034,562,248,829,382,
198,048,008,111,296,606,810,403,541,398,142,338,601,796,279,682,668,283,610,
827,282,652,432,706,762,743,176,880,799,530,510,828,518,726,260,921,352,930,
869,052,766,549,433,176,288,780,984,016,687,067,320,184,661,154,995,457,276,
884,945,226,209,992,689,304,707,025,561,754,745,222,968,313,693,939,726,244,
897,307,298,845,039,841,913,783,632,807,478,109,871,003,455,847,222,020,757,
985,290,316,124,602,066,483,624,331,593,385,564,192,431,759,940,505,198,957,
192,287,225,387,026,791,719,052,098,772,189,383,058,526,999,193,020,422,421,
823,385,433,889,691,830,418,320,772,113,230,703,990,361,363,200,709,263,756,
628,866,463,811,997,651,650,379,137,473,935,799,423,775,383,193,060,514,007,
433,584,295,775,869,995,166,355,957,202,258,763,853,667,331,832,653,377,403,
010,556,725,682,417,597,318,773,603,163,767,386,047,901,595,490,259,120,036,
075,759,658,479,399,931,713,655,243,539,004,605,101,080,201,516,139,724,904,
964,772,071,091,830,371,312,745,095,667,792,821,443,206,566,888,509,091,099,
181,697,242,125,647,648,718,332,350,203,266,732,467,001,695,133,086,659,484,
323,150,234,113,424,204,070,297,585,860,429,815,177,586,312,636,526,878,633,
407,386,983,017,164,288,068,444,797,320,837,587,581,107,590,271,386,957,654,
547,820,443,408,509,903,495,297,831,790,662,519,161,686,417,245,893,063,469,
641,614,419,885,421,412,509,784,929,794,723,399,249,366,547,481,010,584,781,
393,566,096,724,441,993,700,658,705,624,983,632,793,447,113,240,168,112,221,
131,378,812,585,632,745,759,171,650,440,434,383,398,749,676,624,953,319,534,
932,996,356,882,889,653,350,827,074,055,417,215,327,667,431,083,305,192,574,
723,580,216,935,866,888,985,025,011,637,615,656,407,105,284,509,053,217,739,
617,830,497,500,970,486,740,369,261,558,856,244,163,165,211,342,199,266,012,
360,079,264,149,022,299,298,285,272,582,670,103,246,045,157,950,377,929,103,
546,784,541,532,324,121,299,517,808,635,307,006,693,722,917,084,802,789,383,
677,182,542,228,477,853,524,292,892,548,941,178,597,581,631,395,431,504,622,
995,057,069,937,558,028,113,721,707,755,167,021,499,290,815,138,327,137,518,
408,022,888,182,406,586,539,341,978,631,034,380,407,068,333,689,654,089,769,
011,861,646,413,326,607,553,464,253,587,848,367,486,854,691,236,916,440,817,
647,305,087,272,612,898,092,635,827,144,639,804,647,597,298,806,688,363,119,
738,551,550,829,177,388,568,354,711,943,139,832,822,204,093,489,297,387,718,
742,382,328,344,642,487,715,375,202,020,955,903,892,731,508,983,604,363,728,
157,022,415,977,609,059,610,746,704,994,027,186,572,381,092,103,903,962,912,
736,830,428,982,654,395,846,255,057,430,273,018,663,937,256,566,322,545,473,
853,766,257,959,065,288,974,657,753,087,470,988,237,925,864,674,916,563,720,
022,071,051,351,472,076,874,562,263,329,195,158,514,978,816,812,931,847,296,
190,371,133,801,804,923,857,624,770,011,747,563,793,561,721,107,955,486,730,
486,752,935,175,963,695,514,717,924,797,955,359,531,920,986,555,377,165,117,
910,969,970,278,316,026,001,537,506,683,647,573,562,211,453,050,807,484,226,
206,248,284,843,427,444,961,030,269,395,183,149,632,782,992,691,321,634,802,
919,944,376,949,240,902,481,727,597,789,422,674,760,915,086,772,441,604,840,
419,160,858,743,785,468,335,887,878,023,646,283,389,004,946,710,227,331,296,
735,723,537,327,084,325,334,342,377,320,295,592,010,096,894,871,922,090,447,
689,964,857,753,190,947,577,509,175,030,187,941,352,056,178,219,674,769,624,
417,074,048,606,076,565,177,350,129,358,802,056,109,803,401,010,284,635,431,
023,939,208,016,807,358,217,124,573,289,452,577,455,577,907,622,618,103,810,
646,654,470,214,215,776,936,727,601,180,868,900,217,375,963,189,872,814,733,
887,842,044,469,161,144,966,432,966,796,988,417,000,952,097,216,708,179,204,
431,064,373,251,878,718,728,818,783,103,891,982,065,579,273,430,211,516,406,
764,589,793,109,073,169,794,574,491,058,824,309,644,701,312,400,831,052,652,
149,943,645,379,966,359,538,856,590,307,567,763,173,243,564,915,833,569,681,
576,681,114,036,476,236,977,981,687,252,032,303,823,750,956,196,636,067,646,
716,622,360,858,446,497,352,528,396,532,329,029,345,948,312,072,578,843,616,
473,001,422,366,779,771,654,858,713,803,581,939,245,112,267,807,362,446,380,
702,317,898,178,173,082,709,511,129,135,088,327,252,557,035,058,409,466,504,
693,754,524,452,673,179,297,575,765,775,687,293,097,321,231,697,910,241,004,
371,596,604,596,373,658,333,778,550,910,039,189,954,551,686,065,588,267,182,
459,479,692,934,701,334,396,362,678,666,808,858,862,750,153,447,244,839,188,
165,769,697,271,662,715,004,470,748,796,833,083,122,178,837,990,354,650,668,
481,999,230,664,219,251,129,680,028,002,874,870,722,543,205,852,957,369,834,
820,352,875,142,596,626,642,388,475,454,210,747,678,516,401,625,704,143,597,
653,537,725,733,595,816,083,301,862,924,031,767,995,659,011,787,878,856,815,
326,402,578,494,337,568,209,444,313,722,504,343,556,869,932,837,795,348,594,
911,568,663,512,420,747,235,096,293,868,483,094,127,632,564,260,492,756,777,
596,914,845,743,103,014,063,789,920,962,807,814,714,162,010,997,547,491,668,
579,397,935,043,602,317,464,241,210,997,742,707,945,711,092,967,816,052,788,
487,601,699,026,812,092,377,823,067,075,884,723,378,394,216,721,404,085,198,
691,755,138,905,809,749,862,093,517,408,709,661,223,970,586,496,407,249,434,
052,568,491,899,246,501,784,357,806,754,357,206,830,447,046,256,666,266,773,
300,997,207,802,003,044,742,129,099,216,264,807,202,222,695,408,234,406,006,
754,283,875,814,429,291,058,297,468,165,268,616,429,801,273,859,247,979,793,
323,776,750,252,410,918,784,952,255,863,724,549,196,212,606,468,526,703,320,
085,972,896,466,720,396,688,753,663,032,150,232,512,900,544,794,501,169,038,
795,342,996,982,729,961,916,945,786,489,809,145,196,822,781,986,095,029,419,
424,916,449,041,702,775,742,312,500,923,363,971,267,770,519,234,100,158,647,
756,639,132,599,685,924,303,067,967,051,311,087,238,392,885,119,927,958,305,
104,010,890,006,674,849,337,783,504,507,700,213,108,902,764,598,366,945,797,
403,945,544,309,021,335,084,459,030,881,149,850,571,525,728,594,793,388,029,
185,676,293,785,797,587,465,092,851,700,643,472,501,939,201,521,921,223,860,
636,375,283,852,247,924,982,813,777,086,434,126,640,065,269,465,253,857,956,
892,397,480,935,232,744,836,293,251,222,901,918,587,398,219,972,126,354,270,
206,063,591,997,217,074,634,984,390,137,636,043,254,283,950,274,146,362,311,
541,144,842,725,156,337,963,878,520,512,794,733,113,954,343,059,512,573,045,
776,216,170,713,841,224,510,077,969,654,198,481,712,188,110,087,932,946,970,
421,998,863,192,044,176,791,955,356,908,453,767,318,828,933,971,161,010,909,
560,076,922,127,662,056,120,146,783,477,191,190,281,504,030,280,291,455,091,
025,708,597,074,107,732,068,538,920,098,475,293,739,746,153,942,394,648,716,
013,638,146,388,489,547,132,061,908,025,829,691,038,442,081,012,785,022,327,
387,825,274,073,648,721,557,761,609,940,421,299,106,328,423,255,411,303,579,
936,145,176,671,074,419,440,692,976,988,621,389,199,085,378,895,521,568,295,
985,174,808,218,154,994,684,678,393,705,666,035,212,834,908,497,724,143,179,
675,679,178,288,877,385,425,414,976,681,946,667,596,524,929,796,249,764,405,
525,942,898,641,358,396,220,470,290,733,968,385,001,987,576,161,206,348,156,
037,098,718,280,994,871,430,164,829,128,375,545,070,563,662,030,961,577,743,
046,764,653,041,286,904,062,868,776,897,680,430,255,874,183,020,506,821,134,
542,842,957,130,011,993,164,693,759,053,253,122,126,933,695,197,408,407,093,
759,193,258,424,404,312,458,534,980,746,854,174,670,169,306,927,022,119,161,
656,087,214,821,722,519,196,127,142,722,831,260,301,875,844,750,573,783,873,
911,878,292,444,727,410,454,051,555,766,921,355,311,693,668,084,232,810,151,
199,494,628,246,726,770,008,817,319,436,190,265,253,618,919,403,090,190,902,
848,957,668,358,230,108,153,026,510,992,026,060,258,324,477,896,329,878,110,
402,665,087,886,088,245,932,418,945,613,835,917,213,491,480,250,156,974,421,
349,549,304,909,469,892,781,106,227,686,189,580,637,374,777,711,711,752,509,
671,806,508,182,571,749,894,594,173,011,808,281,291,524,520,166,193,080,726,
730,983,484,973,069,178,360,957,268,155,874,935,832,466,247,045,739,539,969,
316,110,604,812,282,336,422,104,905,233,508,158,508,478,490,535,281,734,183,
219,896,167,087,385,415,397,928,466,102,910,535,297,701,400,665,929,430,951,
272,631,912,021,289,855,865,254,603,683,713,699,070,523,405,612,014,126,257,
818,791,239,527,882,224,149,198,148,434,729,272,802,505,615,807,041,978,964,
789,711,240,874,174,813,532,438,932,171,043,634,396,835,520,628,539,956,572,
421,266,221,578,104,976,858,937,880,933,531,671,969,224,886,427,833,147,728,
173,373,479,035,808,750,756,096,990,431,346,862,623,659,630,454,731,617,189,
018,072,739,883,039,754,159,610,486,895,777,687,935,632,002,104,733,514,010,
147,758,521,268,513,853,175,230,643,898,079,990,312,816,726,024,659,903,214,
002,823,396,348,677,708,416,565,034,569,554,984,464,339,859,697,681,901,984,
389,390,099,051,848,521,775,738,330,964,154,457,756,028,033,973,305,981,218,
763,317,484,611,380,446,424,819,090,486,878,266,750,690,749,914,038,291,551,
307,694,357,925,729,588,467,014,169,888,082,910,651,997,587,430,434,858,008,
114,867,657,317,764,232,426,333,524,430,522,450,186,929,005,353,756,432,994,
700,610,327,600,912,882,740,183,079,615,166,283,295,594,278,198,431,785,564,
112,688,373,208,860,436,960,888,532,815,284,737,419,186,320,569,750,215,770,
409,049,296,624,080,232,043,120,648,733,352,194,582,562,121,958,362,965,755,
403,217,517,292,204,895,197,004,707,590,335,117,428,259,210,637,200,640,141,
679,519,915,974,932,085,856,962,870,536,541,888,036,939,461,933,760,643,043,
368,410,340,700,158,116,885,485,856,423,971,420,456,008,739,522,333,297,498,
356,029,242,876,029,516,781,964,578,117,685,716,343,069,172,782,802,064,396,
964,155,364,582,228,417,408,856,881,316,684,354,689,552,045,568,544,209,092,
625,913,265,050,262,487,587,973,592,465,804,648,655,394,485,162,500,675,776,
766,604,308,440,442,564,102,311,826,754,295,441,173,626,489,065,079,996,912,
631,817,640,730,076,905,756,229,413,382,273,595,337,604,084,010,778,698,142,
029,612,592,522,222,263,751,134,719,488,740,517,423,361,939,106,302,463,587,
435,473,650,862,126,625,438,546,996,290,693,980,077,548,382,542,484,316,913,
839,354,666,340,669,183,454,417,880,130,199,199,665,913,618,928,001,810,687,
323,716,615,066,277,937,396,875,648,231,226,520,623,659,600,893,081,016,817,
652,986,401,756,075,400,382,414,718,044,859,203,483,673,014,052,231,790,111,
387,794,719,923,394,087,196,542,125,919,676,482,460,259,437,246,739,206,968,
815,602,595,521,512,942,961,720,878,778,598,813,963,060,591,228,398,573,770,
155,984,000,462,647,049,715,363,917,181,375,474,794,474,909,162,087,707,668,
832,160,904,758,184,715,366,528,275,244,021,946,216,757,141,482,869,187,331,
284,325,029,665,434,372,751,277,791,069,222,185,801,044,662,758,287,201,083,
439,193,201,791,069,413,145,409,936,067,733,698,635,894,354,828,277,883,722,
127,650,472,132,274,456,124,471,370,254,301,157,273,158,225,920,715,783,790,
314,610,991,781,174,118,547,967,839,173,257,138,936,722,968,460,347,341,427,
187,076,664,303,140,435,327,790,596,890,057,115,285,109,935,771,740,872,002,
949,996,280,496,255,707,947,458,314,043,100,212,393,219,655,408,825,970,979,
462,354,464,209,877,246,024,145,851,409,456,020,032,759,951,594,958,027,807,
765,366,481,433,742,104,156,450,013,537,032,070,521,071,011,896,857,383,445,
684,114,717,915,811,958,962,686,774,963,339,859,008,396,828,006,632,021,192,
344,940,223,458,588,741,971,138,080,696,443,058,052,145,307,552,118,032,736,
647,921,382,406,460,063,717,285,248,899,091,778,924,411,696,644,234,059,735,
828,382,930,915,520,295,572,200,713,120,747,952,823,297,682,010,487,629,028,
703,029,556,530,273,588,846,530,938,374,388,409,254,433,016,357,225,557,652,
283,559,034,238,245,261,117,182,781,674,646,730,406,117,029,928,278,837,029,
164,454,308,938,143,759,384,215,525,148,505,580,050,919,603,787,958,075,455,
872,084,074,949,226,683,633,357,449,267,514,486,421,762,456,281,559,651,277,
584,173,197,256,642,459,293,200,661,169,277,105,359,079,499,143,555,449,556,
641,818,819,571,304,714,727,269,136,819,294,174,553,163,232,765,626,709,642,
661,107,190,357,660,417,308,858,537,443,849,885,802,394,144,896,776,038,792,
270,569,108,428,682,651,650,702,088,633,981,379,563,017,784,684,244,011,905,
428,488,464,524,937,116,245,632,740,028,552,420,888,946,874,082,074,609,017,
611,210,407,175,219,194,325,447,307,229,519,969,913,884,200,629,356,647,312,
685,665,853,686,523,651,601,923,278,596,328,463,930,077,535,440,542,367,083,
384,114,418,972,604,653,077,648,511,608,462,974,272,653,895,282,095,654,009,
453,300,480,867,282,911,287,700,975,590,762,061,278,477,092,234,362,229,002,
487,849,420,062,502,945,990,529,030,723,838,851,288,672,716,265,198,938,928,
590,455,334,779,843,287,698,974,248,800,394,838,374,664,332,547,564,783,832,
320,630,965,096,859,899,701,866,615,252,082,059,842,741,218,287,900,256,601,
699,470,442,492,975,536,796,117,111,984,767,117,615,906,549,261,413,209,985,
972,915,867,565,127,926,840,088,714,341,463,040,825,785,919,706,902,405,070,
198,044,207,849,597,985,937,532,208,004,583,323,011,273,150,469,442,446,037,
753,386,883,764,399,861,194,979,304,883,804,249,642,586,515,732,577,489,984,
846,223,336,134,980,417,632,277,863,310,937,597,435,919,615,827,726,386,387,
694,949,509,105,176,131,817,810,939,179,411,822,343,109,378,685,064,920,575,
417,632,242,021,499,822,162,086,281,892,993,600,708,952,875,120,739,210,309,
280,355,038,680,046,563,365,792,492,579,501,645,513,147,828,172,978,592,214,
531,090,844,274,481,214,520,937,453,882,160,136,039,724,215,824,034,479,326,
135,204,927,892,444,545,997,143,794,567,004,163,293,177,312,354,626,226,351,
292,723,290,277,712,593,518,067,334,707,939,560,580,882,427,176,285,488,709,
364,310,197,467,060,996,062,656,220,751,006,576,315,352,536,055,463,625,447,
295,073,358,858,289,126,266,925,048,870,217,738,139,911,879,024,465,815,238,
601,480,145,543,251,514,216,761,952,835,622,489,315,357,845,177,409,631,258,
187,148,725,218,256,771,601,509,982,033,319,234,748,794,255,301,565,144,479,
103,133,828,188,534,742,339,443,382,991,853,725,447,751,441,899,002,506,902,
684,498,917,956,816,151,835,800,825,513,370,458,545,149,957,402,714,462,079,
762,345,496,469,500,035,445,916,855,974,185,011,270,039,995,029,771,951,267,
757,487,905,208,434,621,013,267,363,325,424,930,304,870,726,924,630,310,537,
634,026,956,985,537,912,499,361,233,410,786,644,469,273,255,889,026,990,064,
089,668,783,889,766,984,764,375,047,799,298,448,610,867,631,582,587,324,558,
675,457,860,864,213,302,127,275,430,406,544,022,984,542,166,132,987,890,771,
025,770,494,085,023,779,303,589,411,599,178,310,756,903,828,965,136,863,304,
255,567,926,206,433,836,396,669,487,890,821,051,226,513,912,597,157,432,633,
540,420,473,263,619,770,343,356,675,608,182,946,294,099,294,806,709,082,945,
482,316,087,477,609,816,698,105,995,462,822,233,775,121,398,051,744,945,341,
141,659,804,645,336,572,915,243,420,909,980,010,787,844,591,576,841,422,578,
455,931,884,527,307,250,366,297,013,285,676,135,118,901,634,064,263,153,998,
157,940,682,364,741,820,331,739,813,106,933,400,071,619,943,723,571,431,593,
777,013,008,060,721,673,241,661,769,649,463,166,736,495,328,475,868,353,536,
876,308,629,345,566,550,371,562,800,437,990,026,915,396,141,086,291,002,082,
194,822,765,949,169,916,687,618,234,610,046,240,786,868,664,204,608,012,593,
501,985,879,854,046,691,314,861,251,497,597,569,270,205,657,658,449,235,545,
156,553,947,158,741,139,303,994,798,694,911,402,147,693,073,469,069,768,147,
583,792,496,123,553,523,917,026,750,614,334,287,772,309,445,553,754,047,316,
271,160,564,848,970,549,754,434,587,993,954,166,559,379,395,700,098,357,628,
893,259,945,955,459,038,266,631,752,839,475,063,787,225,276,878,717,509,092,
503,203,289,903,914,641,603,386,023,957,850,644,056,245,985,493,838,821,123,
234,834,676,093,659,557,758,491,922,236,863,185,027,237,607,225,305,918,504,
578,670,607,916,853,749,103,263,712,889,999,326,037,635,248,277,213,141,326,
909,479,471,047,357,885,490,088,486,619,137,140,444,094,443,835,335,329,627,
430,957,040,701,014,889,853,653,691,428,605,740,856,647,812,685,438,201,123,
571,503,582,905,034,276,166,480,218,344,399,629,035,603,935,049,836,649,445,
669,539,924,596,959,965,947,074,134,339,421,484,995,123,148,993,799,085,581,
570,571,485,859,615,857,090,550,952,802,943,639,363,721,933,025,218,251,690,
466,200,265,609,822,373,462,024,704,962,263,426,434,058,525,217,184,974,079,
356,777,592,881,126,644,062,837,735,094,596,246,272,298,747,843,050,629,554,
298,992,068,053,965,044,754,828,144,419,198,170,304,203,540,093,658,260,363,
827,861,641,216,392,556,766,897,854,838,882,074,161,362,190,372,422,781,055,
663,789,896,201,536,959,137,438,426,292,793,816,194,428,633,998,415,718,369,
640,836,259,940,128,822,222,666,764,783,528,122,878,992,932,009,600,456,353,
596,341,775,180,917,165,653,622,299,235,963,552,086,604,789,293,699,853,579,
097,578,534,521,119,296,559,468,773,328,534,240,099,663,666,692,750,333,487,
148,355,509,467,520,931,997,953,562,972,740,186,434,865,751,210,811,564,869,
926,421,449,218,530,372,386,499,208,896,850,412,645,821,366,734,037,710,689,
389,267,035,749,982,186,090,152,993,987,387,398,348,005,410,551,101,068,624,
342,629,219,558,800,217,644,858,693,020,233,970,540,257,007,563,733,392,657,
025,064,920,170,146,796,587,084,542,489,677,749,176,571,906,763,426,305,178,
216,785,581,567,256,831,597,766,662,034,950,350,026,996,554,292,123,522,011,
970,747,044,107,889,288,632,252,304,082,245,610,464,033,660,879,987,821,319,
438,944,176,145,719,196,830,930,426,213,959,118,238,928,399,968,607,307,230,
773,848,962,452,033,135,859,233,072,940,251,965,078,450,444,737,111,966,322,
772,518,157,644,626,135,429,152,003,959,534,971,289,538,524,706,803,129,285,
913,530,271,324,116,098,829,921,305,228,977,486,227,526,651,507,449,441,052,
240,899,263,219,525,449,331,287,401,021,374,353,621,674,680,898,662,488,078,
032,204,249,967,203,812,515,083,215,669,598,441,058,937,534,665,362,180,200,
128,905,556,565,382,464,828,454,632,107,634,859,788,190,980,048,313,407,766,
824,735,116,243,929,112,608,945,136,496,287,340,538,923,505,941,200,398,671,
362,200,184,065,144,246,353,073,325,845,656,219,898,329,688,812,689,976,841,
406,001,239,696,070,879,844,539,921,698,549,073,351,215,541,827,990,813,572,
975,165,122,174,116,178,917,787,354,404,099,874,843,740,869,177,664,034,799,
072,253,665,094,906,940,739,120,446,036,014,593,575,750,725,610,378,126,838,
827,381,282,777,203,121,334,360,414,129,975,435,166,600,846,665,308,598,766,
724,394,618,213,406,347,115,750,935,359,301,473,513,542,413,901,727,966,649,
967,124,263,140,537,833,031,679,551,673,865,482,195,284,340,355,465,664,514,
923,426,785,973,902,051,770,841,930,979,396,538,040,364,052,058,009,759,570,
537,008,884,206,771,855,481,402,747,480,435,223,918,440,196,713,764,175,254,
048,328,199,070,394,638,906,202,248,197,279,040,367,452,690,976,253,486,172,
566,867,399,808,441,972,548,267,949,306,309,442,351,023,174,456,874,582,457,
790,712,369,907,915,622,275,183,891,317,034,867,980,715,555,330,246,735,870,
313,836,843,844,954,509,111,191,397,880,891,476,345,630,922,202,119,169,326,
056,430,954,819,296,714,233,933,404,556,546,005,353,410,878,637,366,942,557,
808,914,050,642,111,423,991,282,173,600,722,930,305,248,405,067,640,544,155,
070,267,401,655,151,503,217,572,616,547,956,584,762,412,234,740,327,313,788,
265,065,984,453,893,169,802,664,838,415,587,312,401,659,825,315,821,621,858,
908,814,989,933,437,785,649,777,709,408,379,299,826,072,543,630,717,973,129,
210,856,541,190,817,305,103,192,120,940,955,192,075,066,943,511,251,573,053,
858,280,730,532,508,221,887,473,273,269,962,037,538,629,411,409,271,952,605,
875,928,914,703,402,416,872,066,074,951,934,746,620,433,624,312,823,445,653,
672,201,654,200,359,428,453,968,274,897,403,048,451,349,891,271,966,119,223,
602,811,037,790,449,668,486,240,020,914,070,863,961,656,450,398,954,385,629,
772,951,351,896,553,061,876,598,879,749,378,003,150,497,678,560,617,616,339,
457,441,356,033,684,911,036,502,755,726,280,271,797,699,529,786,924,886,972,
449,172,165,022,611,632,049,699,614,044,447,932,073,611,889,473,933,069,317,
783,481,844,115,401,211,084,344,908,652,094,181,442,412,834,636,849,471,540,
109,537,440,009,635,527,622,862,898,573,300,088,475,987,937,334,421,647,321,
998,834,628,971,969,910,494,708,783,134,805,244,761,163,034,106,630,899,609,
119,652,213,497,483,804,754,575,025,757,910,828,441,627,614,200,383,735,292,
951,898,830,981,560,081,536,647,412,331,961,035,382,124,172,926,161,128,464,
756,466,016,064,084,677,770,468,073,011,476,582,104,692,960,490,374,313,853,
823,925,644,555,323,538,494,305,452,860,184,854,898,756,254,251,973,770,124,
361,372,053,389,099,117,677,043,613,431,018,416,096,440,709,028,307,968,987,
759,207,651,444,507,524,420,263,744,309,223,305,131,416,673,799,352,599,768,
468,981,947,387,266,230,993,229,040,750,488,712,180,482,409,532,819,881,454,
074,436,609,314,615,907,905,295,688,141,802,732,194,884,091,033,955,011,148,
094,716,642,442,373,559,406,411,956,656,298,431,275,668,228,580,841,438,802,
404,392,860,981,702,034,323,511,620,968,115,984,315,282,626,487,462,762,414,
858,769,121,503,396,980,159,967,652,053,490,618,498,652,556,857,403,278,633,
152,042,037,349,508,248,637,877,507,277,603,809,660,244,041,400,571,053,082,
533,741,100,218,927,968,076,304,222,294,001,673,383,013,286,794,113,494,946,
539,172,054,707,656,346,616,165,312,059,305,657,209,912,062,911,141,595,808,
242,752,587,936,307,547,895,501,073,427,606,366,727,970,985,819,013,161,841,
209,950,981,059,591,332,797,305,209,785,267,530,784,250,593,828,141,831,027,
707,864,860,184,271,336,042,587,257,384,738,886,954,010,096,126,722,027,529,
434,732,060,833,961,573,280,437,715,770,870,690,242,068,707,766,561,793,100,
831,644,467,722,057,124,815,450,767,615,991,290,531,179,778,873,125,689,042,
436,344,566,525,617,695,427,557,159,300,832,465,191,137,052,782,243,609,059,
380,122,667,033,899,054,492,494,439,669,737,716,654,008,244,093,464,446,412,
499,190,391,077,127,935,467,560,580,412,176,065,737,101,266,631,394,322,087,
535,692,904,557,538,262,602,120,136,442,288,063,998,875,118,486,427,202,821,
195,761,649,828,396,352,024,813,618,749,930,826,036,184,590,549,276,826,104,
966,790,988,743,937,500,797,751,087,398,750,296,033,100,036,132,466,689,656,
880,692,038,269,599,780,796,068,935,993,458,606,904,246,743,575,001,102,010,
123,495,037,002,654,730,881,784,126,608,720,521,717,114,109,945,740,921,733,
905,517,160,585,102,927,609,142,414,341,204,607,493,237,797,403,856,382,321,
919,186,328,916,611,807,009,142,198,977,050,561,859,790,963,792,814,644,294,
007,835,122,071,587,618,907,547,062,372,751,657,182,623,195,871,069,029,089,
374,937,103,092,718,671,918,400,382,583,641,064,250,610,902,175,619,423,822,
718,012,818,313,793,553,657,673,947,236,589,427,872,376,057,927,645,767,416,
914,699,242,057,757,235,172,123,327,120,157,648,270,504,659,291,348,675,992,
089,723,816,657,791,007,339,106,541,108,418,886,206,438,837,710,694,883,131,
255,385,978,888,343,508,746,026,326,930,873,615,087,623,093,490,510,728,478,
453,815,042,718,203,700,368,964,373,764,648,497,676,055,103,549,476,969,514,
064,608,257,782,026,989,024,403,199,886,489,040,471,508,261,799,482,278,240,
026,104,132,349,071,396,949,103,800,748,918,627,222,931,811,344,534,061,001,
730,355,126,072,354,996,563,876,561,499,923,168,287,064,297,094,176,870,437,
648,573,898,160,129,387,854,653,417,401,848,557,866,392,243,760,633,946,278,
672,593,023,993,212,303,539,864,812,099,287,360,959,065,778,839,929,962,773,
779,175,824,644,699,447,034,800,974,026,833,786,920,364,202,718,915,770,872,
376,366,671,164,652,303,012,351,039,129,229,349,210,391,719,769,014,654,528,
027,096,932,402,548,153,087,169,581,243,738,864,225,032,523,276,921,195,172,
961,459,711,660,648,962,280,525,269,422,442,819,401,133,943,189,025,273,514,
370,237,447,356,823,242,333,981,487,597,240,326,010,025,497,461,913,594,157,
792,351,608,349,536,535,270,263,365,426,642,565,083,749,701,500,975,043,012,
746,737,133,780,125,442,343,960,640,342,745,199,058,920,862,663,587,669,942,
726,754,349,749,783,751,370,732,513,684,300,579,400,659,900,417,757,253,293,
133,321,369,050,544,656,252,330,057,275,908,218,533,787,919,922,364,842,822,
991,431,438,130,272,736,846,424,256,755,319,383,850,184,137,744,700,407,173,
531,822,513,226,745,699,262,254,467,008,124,283,990,373,096,973,153,550,249,
861,617,346,434,341,043,225,429,869,734,542,639,356,267,089,530,379,807,765,
384,597,925,883,803,206,352,107,342,497,681,680,839,330,189,655,567,391,821,
594,120,520,119,451,249,524,112,397,293,795,694,086,229,117,216,927,466,348,
855,328,110,119,867,197,207,975,401,370,180,757,037,458,082,970,519,477,806,
644,606,229,674,082,880,761,667,406,130,750,736,754,657,040,621,043,105,335,
354,923,204,632,981,439,310,747,007,998,201,609,608,702,452,901,619,683,567,
072,419,782,626,900,997,731,697,454,361,349,423,329,226,023,466,961,191,416,
596,341,057,542,523,369,987,059,695,840,132,192,619,596,402,283,867,170,534,
383,642,786,539,038,716,261,453,144,198,632,788,730,297,176,178,594,660,419,
897,818,828,805,494,860,934,963,223,334,131,539,828,597,623,126,283,326,944,
823,650,886,786,203,124,778,462,482,557,589,024,824,658,627,087,071,252,315,
212,750,940,550,899,094,713,499,246,673,700,730,214,350,755,934,221,294,297,
320,594,879,852,462,015,479,055,618,935,556,268,795,268,216,318,425,446,373,
835,242,950,500,538,626,126,700,008,977,236,876,245,850,549,881,160,707,943,
888,709,950,457,014,634,748,948,189,660,024,021,350,355,685,925,117,076,140,
756,185,862,862,981,563,982,550,985,436,066,254,362,770,969,882,858,797,317,
681,715,522,203,178,108,870,876,243,052,790,962,686,232,164,289,584,521,684,
913,375,728,845,493,614,494,321,188,989,224,895,023,284,827,398,648,227,283,
022,631,932,894,207,056,512,460,381,111,214,213,781,775,642,329,881,322,083,
496,632,839,133,466,940,075,573,898,611,440,212,340,070,555,272,176,586,761,
779,239,549,082,840,222,517,350,418,190,762,430,846,288,191,703,809,196,365,
904,004,585,489,313,846,197,934,076,854,357,355,044,739,223,267,426,392,240,
722,733,836,239,246,100,812,912,783,880,720,870,485,235,033,829,071,073,920,
086,963,372,660,326,898,573,697,363,657,917,937,479,675,306,134,401,099,772,
881,643,568,007,095,872,936,696,384,589,478,921,600,840,592,516,540,723,849,
258,335,905,828,875,404,753,675,970,274,996,031,598,343,257,275,825,066,584,
047,206,810,323,666,450,795,360,765,361,935,870,043,516,844,054,322,765,340,
625,302,419,548,499,134,098,095,014,223,900,726,237,037,770,498,350,123,109,
504,112,907,341,016,311,706,781,628,902,031,313,273,834,193,746,789,809,804,
382,719,168,218,737,592,863,313,606,657,159,273,871,738,339,674,238,937,159,
042,627,634,621,509,267,715,933,776,244,238,509,816,126,780,311,023,345,303,
389,061,624,169,763,628,621,640,620,819,925,969,377,472,974,421,513,467,834,
586,426,581,097,848,963,973,524,603,889,751,707,326,773,101,775,508,004,279,
099,453,536,154,808,539,353,027,004,502,942,767,414,856,232,474,133,667,756,
092,390,326,641,594,283,906,655,986,105,311,663,146,240,822,707,168,756,284,
728,278,773,847,102,591,893,991,997,836,995,896,746,402,256,150,350,428,167,
228,189,651,519,386,338,295,013,491,226,109,421,591,647,904,174,269,478,451,
949,413,487,223,903,571,439,735,485,533,917,899,955,785,455,158,583,240,637,
563,063,666,884,036,332,342,353,886,640,227,220,439,818,236,566,653,161,368,
772,199,159,517,690,943,540,189,699,841,322,679,014,602,508,872,538,724,457,
584,201,023,952,560,396,276,397,534,415,823,591,521,237,331,146,026,871,160,
260,413,936,950,479,253,091,900,577,621,079,292,582,536,995,481,923,062,021,
082,722,829,678,772,460,500,423,986,509,320,026,173,813,729,948,486,769,800,
449,871,818,542,698,463,041,907,307,246,051,460,905,242,776,369,868,921,409,
454,155,182,207,160,328,122,377,555,062,016,272,068,273,133,368,053,160,276,
997,886,375,193,644,336,382,432,146,157,379,585,948,572,035,213,924,460,597,
985,788,629,512,691,489,617,145,030,064,899,626,462,883,363,164,455,923,609,
063,761,977,693,871,806,884,781,631,235,312,391,451,618,856,949,980,069,434,
130,784,712,125,468,664,743,756,750,242,828,934,987,485,004,343,333,703,410,
595,300,587,577,008,945,623,910,286,012,582,716,151,315,185,239,320,781,603,
400,220,045,877,334,841,630,134,040,512,588,126,247,275,121,166,902,876,489,
159,380,068,992,099,166,822,556,755,803,628,392,730,217,788,075,095,798,161,
865,825,289,432,197,530,754,639,358,477,581,417,640,411,789,619,700,168,050,
054,155,233,399,051,677,085,734,813,529,205,579,060,395,948,105,063,350,499,
420,015,817,124,707,337,174,374,840,989,016,310,390,532,777,143,449,473,152,
028,027,039,100,050,578,774,500,698,893,826,103,009,338,935,311,221,076,289,
142,753,443,750,027,088,854,025,751,112,780,218,773,814,720,280,410,278,944,
653,964,788,629,058,049,686,217,879,294,046,902,795,746,482,698,002,870,778,
301,347,603,105,090,364,561,142,615,750,297,757,932,663,201,465,326,500,817,
838,123,050,517,976,349,425,532,216,379,735,655,353,265,218,241,487,894,230,
135,221,062,508,076,470,082,607,427,703,691,502,805,052,505,753,528,226,223,
459,373,020,778,233,288,253,897,960,258,621,421,267,710,645,000,722,066,367,
295,928,956,798,762,552,482,506,044,671,752,341,311,198,666,375,179,801,094,
466,122,641,834,018,776,523,786,308,368,842,530,548,552,856,210,123,591,881,
526,768,821,680,715,784,695,990,301,466,592,012,376,214,927,774,721,303,738,
418,489,847,239,269,193,568,196,283,131,412,080,639,112,290,612,094,702,503,
339,966,040,500,659,940,482,512,996,723,970,851,634,217,673,164,065,024,662,
203,139,287,422,169,038,013,837,961,867,356,549,074,359,312,991,053,127,343,
821,781,154,135,101,714,150,536,690,721,764,159,665,210,204,174,703,013,771,
516,165,795,975,536,768,634,114,181,586,606,887,741,361,963,823,337,911,866,
065,339,286,446,800,460,156,943,449,817,772,374,942,515,827,102,970,821,624,
600,674,122,205,650,714,836,480,636,695,496,727,007,101,873,320,423,232,776,
615,679,135,307,152,847,905,228,294,233,600,421,045,083,499,427,397,202,091,
008,140,109,604,606,009,354,448,125,286,762,171,503,998,052,008,211,634,910,
849,059,398,108,608,179,107,619,221,450,968,943,819,286,050,895,720,810,747,
251,257,494,959,311,202,117,974,569,092,971,897,099,399,487,130,092,314,761,
339,587,556,353,300,060,831,967,583,492,855,850,929,702,699,715,374,643,134,
100,675,039,788,253,682,269,864,569,294,664,901,044,453,328,527,774,109,699,
761,475,454,520,974,758,930,589,621,567,348,050,781,036,813,012,728,293,781,
724,779,872,799,812,660,967,156,613,995,165,388,007,407,992,032,249,502,835,
391,970,002,908,822,862,508,322,670,468,134,522,644,038,611,239,102,676,634,
794,916,436,879,250,103,594,193,953,726,284,271,827,679,208,939,086,250,748,
036,657,285,664,405,288,223,860,520,289,717,190,331,917,305,301,315,817,579,
716,332,847,536,717,197,965,472,381,835,733,891,591,480,484,727,257,859,194,
503,757,457,128,941,217,235,666,352,517,218,044,088,048,659,108,738,983,784,
802,385,659,685,675,080,095,293,642,911,439,594,089,818,019,541,404,765,320,
069,298,125,006,239,625,365,402,651,986,718,380,010,426,441,409,728,769,317,
880,769,114,942,945,391,228,556,788,330,855,515,618,981,486,430,168,952,130,
670,560,850,039,201,429,307,035,815,487,488,550,610,355,539,860,240,957,857,
274,505,744,295,255,521,434,035,653,955,680,141,500,273,492,884,594,727,872,
295,837,059,105,791,441,866,427,630,168,763,120,896,617,877,904,533,021,439,
073,059,691,817,036,716,286,438,196,950,031,301,923,053,453,599,805,748,171,
052,315,543,686,686,988,309,042,930,355,836,850,168,293,398,057,884,019,790,
068,995,509,348,760,518,993,464,606,715,365,528,866,569,885,321,001,027,554,
888,182,054,658,726,670,222,639,184,675,962,825,277,221,199,631,241,183,445,
460,384,104,739,681,353,926,455,602,389,507,523,684,422,088,319,463,035,891,
797,396,785,093,529,521,744,604,767,967,545,476,937,962,928,416,346,575,544,
959,385,848,700,394,350,902,503,730,973,348,199,059,474,719,341,780,452,100,
945,033,482,166,736,848,708,954,454,952,743,905,789,675,151,339,828,633,319,
313,854,251,981,044,445,500,114,681,884,684,450,357,749,976,358,172,969,998,
754,209,772,598,171,486,596,132,978,662,850,949,696,390,050,955,271,032,911,
328,515,588,820,561,335,277,886,594,841,628,695,699,216,654,307,144,951,548,
680,040,208,423,544,331,303,750,782,240,898,203,236,129,467,936,886,302,736,
473,531,797,714,605,761,077,261,781,764,328,247,960,493,711,848,738,046,503,
792,352,065,422,072,907,331,826,188,212,081,201,490,597,523,069,763,938,919,
846,580,328,737,216,154,665,426,155,522,329,686,767,732,228,914,909,770,420,
063,354,184,348,973,821,932,483,175,506,616,802,888,950,388,782,833,233,807,
257,282,155,011,776,046,215,185,164,500,096,956,158,740,908,503,178,275,540,
204,640,678,454,181,271,220,100,259,358,217,057,343,378,606,825,483,001,452,
836,497,143,934,854,947,662,353,117,028,223,459,287,148,629,942,116,868,394,
016,342,749,357,759,296,822,699,033,057,487,927,674,672,363,002,035,047,378,
102,934,279,560,016,171,166,132,569,636,190,623,855,692,850,850,887,489,828,
930,276,370,895,538,626,724,524,476,745,433,531,605,091,613,992,650,767,437,
961,640,543,956,828,512,075,872,627,233,392,334,134,619,723,014,149,902,336,
871,011,438,613,763,810,639,442,226,661,309,486,817,792,148,954,924,259,889,
052,263,353,098,604,415,538,143,039,660,181,631,513,249,985,380,657,313,607,
447,862,564,904,929,568,472,823,936,378,646,797,381,646,219,007,990,272,976,
577,234,292,007,280,036,885,794,658,821,605,258,100,988,666,725,255,946,626,
890,578,924,200,976,674,787,574,481,972,310,367,598,127,845,839,294,626,336,
521,754,003,538,010,068,804,248,721,037,603,851,770,458,058,550,782,322,298,
972,698,800,992,882,615,159,627,459,300,086,232,352,337,386,991,690,361,974,
321,229,081,631,873,511,717,884,845,513,755,491,393,831,738,253,066,567,120,
672,888,519,201,256,265,853,114,494,170,409,594,593,649,185,236,375,557,754,
030,632,249,967,755,440,711,770,866,259,465,294,287,191,095,299,024,038,353,
865,727,883,817,712,921,353,334,766,702,083,483,246,635,597,641,130,677,799,
162,027,251,675,385,810,462,030,203,319,855,841,373,918,476,794,678,684,750,
538,733,774,254,898,062,896,348,317,672,518,627,938,072,904,471,817,225,765,
528,118,984,240,852,031,278,676,617,027,232,745,506,815,871,981,171,283,295,
493,112,359,248,817,942,130,733,372,850,176,166,409,736,474,787,975,976,537,
686,487,282,938,470,616,415,062,480,405,525,470,589,693,144,264,387,478,424,
383,467,165,822,166,309,250,920,867,217,764,266,885,289,294,778,377,986,543,
487,795,349,070,771,153,818,640,149,004,808,532,931,183,281,277,797,047,204,
118,874,532,591,924,102,540,563,895,173,184,525,274,844,735,779,716,370,093,
584,528,128,573,547,693,342,432,554,649,225,729,021,600,886,788,066,698,683,
659,195,980,817,515,356,474,784,930,769,799,121,423,467,890,143,053,398,379,
400,550,820,157,321,044,977,948,714,396,308,794,614,308,116,403,828,434,158,
292,341,114,717,106,197,820,647,977,870,300,590,075,824,728,945,276,103,462,
855,525,168,204,948,084,229,376,266,407,029,316,221,352,291,503,210,412,502,
118,540,406,068,722,714,060,160,736,975,314,308,255,557,265,988,957,950,432,
190,038,783,693,139,929,047,289,735,364,131,726,981,265,401,548,627,121,057,
122,918,876,050,275,686,808,664,515,451,973,689,150,531,406,449,591,034,075,
860,254,332,440,794,562,530,080,536,690,483,658,297,706,338,171,255,241,839,
320,361,325,874,661,973,349,162,416,520,097,877,960,035,899,343,544,147,967,
780,200,937,273,092,181,816,242,608,988,765,605,100,933,675,150,375,381,349,
462,984,235,089,402,504,851,512,366,349,836,536,775,258,669,809,577,734,558,
789,016,698,223,476,979,615,297,203,886,500,603,729,542,957,584,050,299,973,
156,999,289,983,075,897,258,890,168,193,733,491,555,921,228,151,463,408,310,
031,875,778,817,589,490,949,467,827,272,447,751,055,995,858,187,432,350,923,
986,234,829,688,490,401,065,165,611,798,409,959,387,890,031,962,606,233,270,
453,817,416,847,277,831,049,347,129,074,219,252,467,908,160,967,721,545,881,
155,340,572,540,469,108,274,489,582,843,223,136,182,679,515,835,989,461,959,
731,044,750,061,789,321,795,706,550,918,608,265,204,525,487,890,248,756,738,
482,457,199,931,123,718,952,839,311,710,483,114,795,014,223,040,026,176,154,
919,280,979,242,415,333,003,175,210,647,875,835,573,488,626,589,975,313,087,
319,460,063,237,378,093,140,839,239,873,836,540,895,568,636,568,891,626,169,
732,477,855,548,937,675,988,077,801,268,189,827,149,470,460,179,249,165,481,
171,446,501,460,493,841,939,628,775,049,191,577,382,754,865,888,637,593,996,
865,599,468,039,087,076,970,495,877,163,087,575,383,107,743,661,336,270,420,
222,739,829,861,084,218,168,283,777,682,253,121,677,293,546,429,060,272,117,
410,149,869,273,002,181,142,394,068,821,838,003,337,142,650,630,137,942,149,
818,945,887,121,038,639,242,497,850,634,123,781,714,884,941,389,114,723,852,
970,925,223,862,375,403,155,812,163,839,128,013,960,805,678,822,344,573,642,
151,215,949,169,452,570,236,801,797,120,234,940,531,630,978,293,342,506,685,
305,331,704,150,347,215,382,767,209,952,978,786,613,524,357,595,023,673,344,
897,180,943,434,964,944,023,833,345,747,252,197,331,533,786,346,532,301,814,
450,656,100,411,408,375,748,099,489,227,547,802,196,425,648,776,927,619,917,
071,814,415,410,254,753,860,728,641,242,789,908,056,842,018,959,252,522,050,
267,160,724,220,213,396,469,209,643,391,107,109,342,167,788,092,974,111,931,
153,985,201,115,938,636,537,441,010,363,446,281,547,846,847,744,982,958,034,
328,179,793,326,532,839,704,261,590,716,914,052,810,073,920,117,681,410,989,
693,005,267,764,136,409,289,261,903,713,399,872,132,427,989,819,285,034,197,
534,540,576,868,615,981,458,599,240,234,296,937,551,697,609,807,602,908,209,
440,497,353,753,036,835,744,827,832,339,290,474,852,667,633,341,010,198,404,
504,834,807,689,282,462,055,816,985,755,602,985,601,630,503,830,728,969,268,
217,156,432,789,738,722,123,119,463,365,003,030,657,531,063,497,384,614,342,
361,985,659,105,451,566,317,534,353,436,457,650,315,924,240,657,128,421,732,
078,475,100,551,965,478,458,376,858,070,275,071,807,988,533,924,639,739,542,
689,483,807,553,606,412,413,357,848,464,729,809,683,833,426,214,815,795,100,
950,906,731,858,138,461,093,509,275,375,904,748,787,401,842,733,212,914,061,
242,422,263,103,912,091,744,985,354,220,808,232,562,164,257,894,896,399,976,
311,868,725,095,085,847,519,073,148,250,561,998,987,282,107,326,884,320,968,
184,904,737,211,778,715,481,264,133,666,272,363,145,956,307,897,657,712,406,
805,833,681,118,656,365,605,403,376,826,346,720,665,883,352,546,018,700,440,
544,262,541,294,674,854,354,218,431,667,302,616,189,457,384,468,398,361,252,
396,714,800,790,909,462,343,307,531,229,163,418,859,281,779,869,588,299,630,
230,780,099,551,835,009,904,035,425,854,232,050,130,357,264,238,080,412,812,
680,179,177,659,152,419,832,989,294,203,491,408,901,120,163,998,837,780,060,
612,265,046,498,796,413,692,229,157,761,573,005,540,359,491,802,727,615,671,
779,694,758,863,159,557,455,777,920,521,707,286,848,409,963,141,377,668,286,
437,008,800,980,835,060,522,394,973,269,303,073,226,507,448,571,519,508,017,
383,541,655,653,122,787,185,792,804,116,216,379,550,081,836,662,352,013,816,
052,176,916,924,225,936,803,331,674,275,327,846,847,266,092,772,237,448,530,
753,594,448,828,430,618,364,127,015,554,242,639,685,374,683,431,286,509,411,
164,759,649,581,619,202,631,100,224,944,425,395,680,395,785,889,000,881,729,
720,962,201,960,212,891,908,085,363,382,259,429,549,088,084,397,282,015,009,
765,222,051,438,752,909,492,960,973,357,087,094,677,359,028,922,183,088,363,
449,826,679,681,653,227,210,313,551,890,548,357,543,665,173,504,756,953,220,
153,078,201,984,712,606,202,319,668,814,690,488,156,529,311,980,837,646,682,
289,625,882,301,801,775,417,341,083,287,747,127,740,953,235,638,089,365,497,
774,505,194,478,114,271,720,877,202,627,188,595,560,516,021,634,246,336,871,
317,678,007,335,566,875,210,548,555,927,523,612,829,653,931,729,272,035,699,
893,238,066,080,361,380,266,638,097,760,818,804,116,171,708,528,824,498,329,
602,364,704,913,493,260,343,582,751,413,254,978,138,852,825,475,737,652,058,
285,776,396,779,172,509,886,624,843,841,881,051,999,452,969,940,172,449,620,
589,639,723,087,330,321,356,130,385,768,026,936,347,696,954,633,361,540,992,
023,735,830,088,048,792,767,344,899,266,908,932,957,184,465,158,644,523,002,
140,890,877,423,153,926,581,939,864,346,712,798,757,084,714,083,764,947,509,
432,202,303,751,815,903,323,980,455,449,768,381,233,734,398,879,581,169,791,
916,336,093,836,182,271,385,081,412,510,068,481,006,345,785,396,919,604,928,
248,213,022,491,583,266,810,090,055,691,433,344,935,429,721,812,956,415,362,
618,058,167,211,275,421,545,402,522,295,421,737,777,892,579,289,565,817,041,
133,486,678,752,236,346,566,931,964,354,303,022,005,372,187,550,422,717,891,
290,881,459,311,517,302,638,793,791,732,863,800,042,716,807,881,273,062,046,
624,549,464,498,250,946,080,305,796,507,749,551,826,764,050,499,112,184,664,
972,758,291,987,235,894,856,878,452,147,319,133,085,645,415,230,130,763,614,
639,198,707,710,114,271,113,406,618,274,800,237,944,208,244,374,092,461,597,
228,401,808,150,375,463,069,004,502,549,819,578,958,543,000,002,509,311,782,
530,340,919,070,932,515,748,571,423,767,650,126,747,026,329,242,455,033,362,
583,866,582,106,879,403,775,595,170,710,545,787,771,471,224,394,247,654,308,
169,109,612,828,705,588,631,454,490,251,732,507,556,074,692,917,025,151,592,
417,605,894,072,672,918,556,796,215,969,168,271,070,668,445,860,147,994,774,
355,527,652,955,102,538,521,780,642,204,869,337,378,018,225,507,316,934,629,
137,953,476,355,929,509,954,601,926,765,282,709,132,084,281,843,365,848,551,
540,195,219,474,985,067,304,456,385,667,786,865,750,799,991,630,221,333,564,
842,846,252,826,669,685,710,332,218,034,774,854,893,152,968,197,386,196,247,
256,511,034,211,933,150,736,208,213,858,695,693,200,936,219,518,655,026,778,
236,415,966,988,916,806,468,513,439,662,431,080,201,154,326,572,893,279,777,
779,892,177,378,042,825,185,077,520,999,896,153,295,456,559,590,391,780,909,
595,034,385,499,677,873,052,326,564,395,996,108,137,262,826,741,646,209,923,
505,229,908,659,976,785,411,961,115,698,131,686,445,962,534,475,274,295,356,
508,103,073,872,568,442,976,277,764,333,895,956,888,567,006,722,801,840,036,
112,796,773,404,860,292,460,599,543,192,833,167,098,026,477,794,164,176,901,
242,080,603,927,935,659,812,782,682,861,440,342,801,442,856,344,097,749,959,
625,726,146,803,800,524,476,752,945,903,973,976,687,491,617,038,571,250,305,
483,062,683,844,216,396,853,071,562,359,946,334,168,189,620,613,119,710,086,
986,988,732,454,562,905,056,571,005,622,152,742,393,751,954,881,063,464,657,
364,440,838,172,854,005,380,835,597,611,009,121,579,952,692,129,287,154,658,
585,844,337,664,301,238,339,792,529,522,717,781,179,233,016,113,738,772,802,
702,189,452,449,547,252,731,548,337,732,574,226,903,716,256,731,366,605,608,
233,920,005,242,872,494,113,460,674,239,470,571,013,190,896,158,749,073,632,
279,045,817,563,650,964,383,569,033,752,893,392,934,372,096,363,423,634,500,
834,240,244,689,373,131,679,498,428,436,591,270,995,428,959,855,187,160,376,
255,645,707,973,280,588,005,559,498,647,094,232,795,331,343,207,746,531,999,
039,643,743,723,799,140,341,392,220,500,048,555,721,074,605,698,198,455,399,
884,385,734,833,560,556,830,569,402,685,753,556,455,419,531,829,190,669,993,
281,075,889,211,776,405,669,340,659,834,221,711,271,427,982,441,493,667,871,
687,096,359,301,732,456,961,709,114,739,695,639,750,833,642,135,458,243,042,
050,877,569,663,486,586,472,786,259,900,908,730,274,906,180,043,352,532,323,
939,393,926,563,922,892,608,672,338,185,827,250,127,555,289,255,701,979,374,
655,600,933,311,197,600,858,763,726,629,009,244,345,053,300,495,855,409,398,
815,042,491,990,846,484,878,832,338,110,754,166,216,619,895,414,888,316,662,
287,253,991,459,199,427,827,453,784,205,134,129,307,021,760,134,078,714,039,
758,940,080,005,313,874,426,891,878,558,691,223,163,590,958,574,162,368,561,
001,097,379,052,328,109,334,729,911,455,984,885,796,719,241,234,447,991,483,
985,500,033,545,559,275,879,754,326,312,951,851,209,531,562,081,188,742,265,
260,296,379,508,385,253,649,223,530,389,226,505,431,731,041,548,251,556,486,
665,510,389,356,966,740,149,113,029,856,287,076,654,501,428,764,526,359,451,
687,302,022,984,228,835,033,986,830,345,623,934,873,924,432,973,775,241,595,
384,029,401,482,400,231,834,111,502,055,034,073,716,015,265,341,984,834,227,
380,781,992,202,272,514,318,826,371,465,310,697,010,339,903,516,078,501,857,
639,647,864,140,547,545,637,451,526,983,978,174,715,508,821,755,751,744,381,
986,060,748,271,206,309,740,900,593,701,050,694,898,434,272,834,319,172,958,
225,197,854,963,369,557,911,699,373,669,890,451,484,692,614,925,306,606,700,
943,026,829,875,436,676,405,506,107,891,746,979,124,231,729,461,686,168,006,
313,561,074,267,049,237,162,489,156,035,551,695,069,536,726,685,848,393,926,
720,979,318,143,482,933,304,050,137,199,908,401,352,604,080,305,899,338,759,
970,169,938,067,548,748,723,624,785,452,537,607,770,658,568,299,149,472,539,
809,243,771,044,201,530,259,089,810,155,953,878,118,169,478,556,458,127,403,
182,052,229,935,896,360,136,904,297,952,533,853,366,369,222,211,770,146,272,
874,515,114,472,451,409,380,387,062,028,839,529,217,581,842,188,055,965,106,
493,338,909,688,974,672,883,191,117,343,479,899,751,307,565,728,307,412,127,
566,172,567,378,019,762,856,084,777,282,692,754,642,979,725,432,091,738,725,
261,778,267,244,921,306,923,140,723,935,048,939,365,137,469,353,565,877,710,
432,468,239,963,403,601,264,337,353,382,429,250,230,374,909,182,327,848,381,
923,225,533,832,239,662,015,180,954,651,435,859,926,899,390,625,793,752,748,
116,784,456,947,682,703,756,426,486,219,178,217,908,880,659,334,193,205,664,
218,798,131,231,705,619,848,855,789,245,136,900,544,917,724,473,079,391,133,
798,565,927,711,091,662,868,917,881,381,392,609,671,687,307,844,163,503,612,
415,885,356,522,134,038,713,693,496,086,972,837,611,462,776,620,512,739,176,
492,602,039,271,368,287,134,384,173,263,391,548,934,639,996,213,177,145,023,
655,220,129,461,377,487,199,151,328,228,728,637,531,290,191,634,270,152,667,
126,797,417,355,643,258,452,413,532,824,873,131,513,836,062,841,493,224,571,
667,221,783,718,210,081,775,935,812,098,327,576,311,596,491,965,949,923,836,
474,859,006,749,602,974,177,256,629,826,792,653,782,363,094,331,474,561,907,
177,723,148,836,955,130,647,785,936,209,962,779,181,262,924,903,300,409,383,
126,522,801,022,273,754,492,494,625,482,658,603,419,685,657,082,370,478,953,
568,740,196,204,156,060,731,758,911,672,172,590,542,607,792,878,129,418,311,
980,350,128,589,694,334,417,553,271,935,791,553,044,769,930,494,547,715,629,
322,882,178,719,714,787,008,164,919,674,500,599,732,982,873,745,329,485,385,
177,729,359,586,496,438,320,711,569,813,184,767,714,472,916,040,734,680,516,
261,362,273,950,515,820,941,559,181,867,746,969,041,811,733,396,794,534,944,
754,769,079,859,216,425,085,440,056,615,939,390,557,285,351,001,269,563,095,
116,390,479,278,822,193,883,535,757,658,550,100,526,929,289,181,779,716,397,
200,257,295,368,500,533,411,795,719,813,784,746,409,526,634,280,268,738,358,
765,330,480,980,998,367,426,992,756,905,081,484,217,250,776,848,860,867,405,
767,144,607,625,817,488,194,248,281,767,637,308,622,741,255,851,459,251,567,
459,296,057,491,941,196,163,344,045,550,824,787,670,291,086,984,845,147,888,
695,301,545,293,984,061,931,116,831,381,302,954,303,147,943,707,680,482,438,
907,431,922,057,145,978,514,914,832,638,722,099,977,929,628,259,446,143,723,
580,472,698,389,374,060,449,643,680,734,931,972,716,316,218,382,519,663,087,
472,551,335,178,402,920,582,967,341,318,569,494,215,383,544,175,952,997,778,
566,369,850,591,078,279,813,487,861,328,623,669,906,610,867,510,518,673,877,
744,483,986,790,255,389,971,112,610,698,997,096,246,914,490,740,988,860,057,
284,542,673,174,212,811,258,429,574,195,259,640,870,352,947,063,783,645,618,
120,075,482,028,779,755,311,824,772,523,025,806,261,210,569,735,314,221,230,
609,885,504,002,920,891,033,452,525,420,926,094,027,996,846,608,599,606,949,
452,377,160,073,001,896,163,008,453,786,209,609,624,337,823,415,228,327,465,
440,412,619,637,557,228,948,110,174,319,046,255,344,308,803,658,805,426,861,
782,179,546,789,880,389,223,073,185,053,378,842,859,802,472,867,170,260,617,
968,990,355,918,046,990,364,559,104,190,127,446,677,220,871,819,324,725,241,
843,361,380,203,300,468,301,438,423,534,200,257,999,012,633,753,306,081,133,
589,950,318,403,951,713,141,900,531,560,302,125,237,385,665,036,382,212,789,
220,899,288,577,738,242,462,161,151,220,968,505,654,411,598,739,605,425,785,
550,939,233,018,851,867,054,130,870,320,835,953,618,236,578,556,611,939,453,
891,822,343,491,869,885,527,106,386,047,713,335,746,578,319,225,656,221,836,
206,133,412,022,431,224,569,458,794,965,976,938,555,593,478,556,145,099,112,
350,214,624,211,653,999,997,352,780,066,993,047,124,419,278,490,739,886,965,
557,284,606,396,888,252,613,291,989,875,301,967,854,186,617,771,912,777,470,
284,702,904,786,757,403,898,212,804,172,430,406,667,849,059,298,816,736,198,
229,087,550,304,736,115,818,762,549,055,554,763,279,799,096,935,727,791,525,
542,843,029,987,873,807,653,381,528,445,564,305,037,138,796,956,691,739,082,
506,569,639,346,327,665,019,931,373,171,262,989,614,573,094,951,610,658,067,
011,094,875,138,876,660,098,932,066,650,388,150,426,153,616,829,243,395,513,
050,128,516,080,824,743,472,284,524,016,549,236,667,142,410,468,103,869,778,
975,152,216,358,895,992,352,242,716,220,361,259,653,225,023,089,793,169,758,
687,848,650,611,562,219,720,268,967,901,290,103,303,652,257,338,528,728,882,
763,546,659,002,028,031,308,291,088,416,119,461,870,619,381,481,612,017,082,
873,561,369,148,394,876,666,408,204,791,591,646,714,402,345,526,293,305,866,
094,568,376,643,531,412,981,981,034,860,255,771,752,124,881,265,453,906,779,
880,562,489,842,345,644,069,179,312,604,545,434,710,181,172,150,978,590,215,
199,859,814,045,970,692,052,084,138,458,110,485,009,945,246,225,744,293,946,
046,177,313,398,663,022,810,502,278,200,921,127,599,899,193,896,643,343,919,
159,763,039,792,841,610,772,120,739,513,213,749,049,954,281,955,521,714,473,
402,515,427,995,828,048,881,567,094,653,327,499,867,802,065,138,206,564,186,
113,845,239,427,826,152,384,070,380,183,892,313,981,670,626,226,276,060,448,
245,833,988,876,782,965,022,153,946,698,424,250,408,808,357,101,539,746,837,
987,251,886,234,185,933,318,748,716,978,263,349,109,395,534,847,623,754,709,
157,727,424,016,050,734,174,048,764,419,877,895,581,506,010,780,421,727,392,
263,261,780,140,494,285,696,773,703,972,512,106,070,651,525,671,506,032,640,
101,395,491,395,389,920,494,964,920,310,069,219,697,913,360,722,347,007,231,
898,812,654,856,914,742,862,822,969,177,324,738,117,014,663,112,216,963,380,
623,864,868,016,254,432,572,450,323,955,007,014,203,842,201,044,739,059,559,
048,320,142,050,270,337,440,637,257,330,962,126,298,827,900,717,756,647,771,
111,812,434,397,195,666,524,033,643,597,848,812,367,690,512,592,929,643,701,
774,258,616,084,098,760,480,268,505,284,107,676,185,573,448,774,847,418,781,
309,483,730,389,674,421,942,811,858,566,152,886,265,594,867,239,616,475,962,
335,932,643,252,042,459,137,521,955,881,362,405,988,985,707,874,929,374,463,
290,685,108,240,109,775,869,078,685,513,888,249,493,932,077,995,982,878,740,
582,637,372,987,420,385,007,938,795,059,573,640,516,931,806,299,983,243,500,
565,179,735,748,690,842,159,990,275,610,814,962,467,501,478,505,010,612,833,
376,959,334,879,846,919,475,556,452,585,623,700,441,612,027,890,044,569,313,
903,464,605,358,474,691,539,730,089,970,616,137,868,697,226,753,661,494,014,
645,818,714,468,497,792,759,796,708,729,268,668,831,204,510,627,758,389,679,
148,825,579,913,293,677,887,791,267,779,341,461,537,616,987,697,539,269,180,
559,489,596,925,809,879,800,416,662,099,222,166,274,056,760,856,369,062,616,
342,456,226,471,687,699,745,580,477,265,353,732,287,844,992,598,338,719,284,
702,867,170,755,279,563,407,809,023,439,838,728,909,162,061,928,984,286,501,
732,225,673,103,468,619,435,987,590,963,249,271,107,638,136,786,493,101,008,
747,949,455,452,594,917,249,666,831,745,665,798,726,719,504,398,083,313,679,
261,057,044,633,177,734,361,456,313,678,811,889,561,673,323,512,863,611,213,
073,525,237,592,410,422,274,746,307,012,910,721,414,808,549,410,047,856,449,
990,464,918,057,851,107,894,432,365,798,758,014,430,157,524,151,073,682,061,
923,471,193,132,673,347,097,678,066,485,099,834,849,642,397,505,887,154,359,
958,613,705,607,633,389,656,930,381,606,086,763,441,825,513,004,022,950,054,
963,791,784,612,155,523,949,753,628,602,484,114,107,728,447,765,979,966,289,
595,464,552,522,596,785,187,755,220,291,669,680,425,918,522,085,174,418,717,
175,182,487,797,348,130,631,254,511,720,698,119,273,052,371,286,844,080,591,
919,898,305,894,617,843,023,105,893,811,072,946,461,631,693,136,752,178,074,
646,892,227,225,823,210,008,333,832,114,641,165,512,792,546,244,464,196,079,
956,359,059,015,209,155,870,751,840,923,115,533,763,276,791,105,170,678,565,
869,682,459,985,780,169,236,942,306,572,206,909,570,498,085,166,577,212,826,
391,736,640,131,786,155,022,042,848,350,732,533,367,305,885,874,295,678,298,
569,023,971,767,006,797,730,489,475,115,008,509,296,006,293,337,154,869,592,
099,176,541,018,786,467,016,665,210,947,278,598,899,919,453,669,537,257,883,
664,369,929,038,251,109,682,208,582,741,402,269,727,534,968,777,434,614,342,
676,325,936,483,044,410,715,068,922,805,656,104,512,791,565,158,575,914,914,
687,874,015,915,698,007,352,124,372,480,447,041,327,044,872,357,231,272,881,
696,994,844,593,251,910,203,159,618,398,875,323,838,014,233,924,967,398,224,
234,870,427,344,795,608,342,767,187,874,374,676,667,050,515,666,368,870,310,
399,354,835,550,027,259,052,897,931,070,959,339,726,836,010,448,615,723,946,
831,599,522,068,744,589,713,627,811,972,335,431,495,868,827,504,203,600,593,
031,196,209,968,336,448,723,998,178,179,107,291,128,712,981,171,394,821,213,
411,670,546,090,260,214,534,462,608,791,724,847,451,072,819,786,602,368,545,
097,787,443,851,810,729,932,711,317,624,249,511,926,463,365,529,308,273,968,
275,519,480,397,402,397,213,177,855,410,766,389,018,884,595,567,928,577,758,
620,337,351,141,384,084,664,907,723,521,148,007,889,972,186,284,974,952,614,
647,671,368,806,683,338,302,969,634,581,993,244,564,656,964,813,440,758,531,
382,204,703,428,741,328,894,328,632,353,758,985,161,644,688,683,457,621,037,
750,248,960,673,009,259,503,005,445,107,424,781,362,117,646,764,654,358,560,
406,880,042,217,303,523,110,583,576,766,513,599,929,420,824,753,468,671,160,
070,733,117,426,853,279,640,829,853,929,664,240,837,571,691,782,202,815,635,
767,560,649,749,484,022,338,946,346,704,420,369,375,050,205,734,822,704,185,
886,132,442,197,308,054,986,115,783,243,763,754,800,450,030,138,661,382,827,
242,828,436,674,808,009,346,730,701,635,807,330,218,565,195,086,824,788,261,
435,260,332,438,674,511,159,552,118,042,919,794,672,815,088,352,753,723,571,
003,974,006,573,303,561,300,106,210,088,701,176,707,257,458,680,440,719,123,
546,876,649,080,579,366,855,670,746,462,369,771,943,742,865,209,820,881,721,
314,259,972,874,073,662,657,008,275,384,979,901,739,789,140,485,209,322,960,
335,839,105,424,794,146,252,021,543,317,147,280,666,476,862,733,083,339,207,
864,899,533,399,896,600,931,121,157,751,816,980,000,597,752,983,682,890,084,
258,980,325,060,046,110,591,754,183,261,772,705,442,681,367,134,073,242,320,
083,606,324,235,505,168,095,668,917,143,602,591,973,580,095,238,546,698,755,
817,531,304,445,949,495,262,888,597,092,067,120,100,899,180,896,734,909,352,
585,966,512,397,417,555,250,555,672,214,080,642,762,034,325,704,357,789,807,
754,273,997,452,835,399,049,707,264,189,028,582,212,622,052,447,661,898,084,
122,514,032,236,071,686,619,086,544,541,767,374,085,541,353,912,194,615,655,
985,357,110,630,575,290,312,915,142,789,530,616,006,372,557,236,091,518,957,
457,859,762,098,646,523,151,915,647,803,911,909,886,327,156,831,060,291,728,
029,989,709,075,759,821,735,774,573,548,587,239,721,243,822,577,505,760,904,
658,197,965,284,181,417,085,304,361,994,534,163,520,796,826,360,863,817,235,
215,694,452,315,686,896,099,169,589,990,353,316,362,858,543,692,972,061,450,
514,028,408,046,641,206,392,409,146,498,313,033,386,454,096,202,125,832,344,
195,451,197,548,556,462,210,126,712,937,144,788,115,496,428,025,161,398,130,
583,273,682,657,863,796,050,014,189,695,474,004,231,333,246,617,224,417,522,
842,843,048,760,247,289,070,408,252,487,369,037,216,353,333,333,517,362,801,
214,127,658,740,298,097,861,598,718,914,357,458,899,265,612,162,149,744,063,
288,761,773,931,182,352,196,531,620,153,052,575,365,055,215,064,774,517,349,
391,851,009,669,716,026,073,875,068,447,759,099,325,792,122,457,901,670,798,
936,062,289,037,962,942,305,206,062,041,954,881,748,997,333,409,841,746,845,
892,076,529,699,591,510,876,394,306,760,890,621,623,869,611,664,791,388,959,
750,887,533,928,539,991,332,170,377,831,296,112,902,876,220,860,505,499,320,
895,285,643,207,202,649,805,963,791,377,837,875,647,092,053,246,770,377,318,
229,789,963,561,504,481,111,519,331,966,694,433,357,482,700,295,268,035,135,
317,217,464,758,161,995,822,549,205,338,624,871,878,070,385,794,936,467,932,
186,429,310,057,982,222,271,144,501,641,704,046,533,290,503,169,777,401,960,
571,832,501,610,915,351,549,523,046,326,341,705,282,076,872,626,034,121,909,
572,519,933,514,195,772,502,837,844,331,073,470,558,924,874,785,742,197,365,
012,561,088,537,717,093,312,794,200,846,450,427,407,514,010,021,905,939,156,
653,231,819,866,724,305,230,367,269,023,717,482,256,738,604,450,047,694,178,
982,774,479,130,029,036,210,458,204,782,738,399,828,354,333,107,307,886,143,
741,406,436,698,775,171,704,065,480,799,383,683,357,979,090,442,748,029,609,
341,698,273,944,270,580,235,609,318,155,635,271,269,284,137,087,907,365,082,
241,612,370,075,727,630,359,669,844,959,032,414,475,836,568,022,561,254,595,
981,593,723,672,883,284,799,700,181,442,353,920,314,586,069,620,846,812,922,
896,862,342,202,219,302,747,561,927,460,964,292,806,347,389,651,463,478,006,
874,924,983,492,342,443,808,960,820,984,649,359,189,950,316,774,616,997,425,
678,864,402,779,512,163,838,331,078,136,402,110,036,539,128,266,267,471,633,
009,985,376,970,707,995,588,064,778,044,089,418,474,962,392,357,275,960,781,
893,857,861,542,546,212,851,025,597,180,387,881,593,712,046,333,558,223,522,
543,511,417,444,095,140,070,257,120,577,337,847,044,649,032,021,256,701,805,
440,440,970,998,994,357,343,566,902,615,651,519,033,774,456,664,567,942,978,
501,184,402,687,906,615,082,956,600,891,602,734,583,686,624,555,043,859,879,
781,527,167,868,964,843,888,647,478,987,236,406,156,949,264,001,674,295,551,
751,125,510,091,015,978,235,217,665,559,149,244,054,212,405,175,527,821,941,
044,755,513,979,572,556,011,695,256,003,537,010,651,105,258,931,785,329,745,
558,196,895,773,429,958,631,429,344,364,712,502,570,111,464,317,828,764,237,
869,693,019,025,244,172,433,876,438,594,000,817,750,433,012,468,034,192,473,
225,612,124,767,121,033,707,525,325,040,050,096,943,148,961,072,613,698,612,
471,034,668,183,539,546,464,593,763,361,031,246,303,429,034,132,080,161,116,
086,772,995,502,187,433,424,756,982,919,541,103,435,827,476,802,398,013,447,
059,825,597,409,123,816,280,185,799,007,390,450,074,046,727,125,699,776,264,
553,885,191,625,881,404,632,930,103,219,684,078,120,132,876,298,134,584,653,
121,322,859,475,592,125,179,513,018,492,921,811,099,833,522,569,679,485,279,
261,225,553,838,235,731,606,956,822,327,969,261,759,967,276,370,412,702,074,
354,455,665,933,126,851,688,625,813,293,363,686,373,859,549,886,109,385,338,
320,820,109,534,129,468,116,095,175,435,769,985,330,382,404,223,169,124,721,
486,708,308,192,390,645,425,440,614,367,377,135,542,732,115,876,090,742,194,
597,273,763,038,830,155,164,367,817,775,907,702,883,244,628,209,203,618,940,
464,162,232,666,310,579,251,597,648,130,657,699,853,747,902,972,239,991,603,
501,772,376,036,372,957,323,824,302,685,589,430,166,422,126,179,584,745,145,
852,817,217,596,450,196,422,535,672,056,378,609,176,954,609,662,582,544,594,
972,116,461,124,280,425,922,030,924,988,567,166,079,659,009,516,719,445,334,
439,122,739,982,734,688,075,600,635,303,811,983,012,563,140,562,661,267,716,
950,943,379,411,946,619,254,273,540,532,547,146,710,426,804,266,488,390,857,
727,602,677,427,995,283,986,983,228,513,535,226,040,935,416,326,500,796,861,
924,681,414,240,411,369,531,766,641,898,870,542,086,253,768,233,503,227,480,
340,585,534,007,615,389,948,463,439,819,477,595,684,890,733,182,840,802,324,
034,319,743,037,710,724,495,505,222,821,931,546,933,617,092,077,593,899,178,
409,430,200,634,146,876,860,507,629,542,870,997,392,561,777,766,864,556,007,
674,910,657,335,061,902,209,511,622,632,805,549,708,347,866,917,172,138,378,
161,805,698,051,774,952,811,986,539,472,233,642,005,594,090,125,458,075,040,
147,927,274,913,664,012,884,367,647,424,612,804,237,621,477,502,041,329,858,
264,423,727,980,134,976,407,784,931,998,993,917,738,975,711,212,703,994,301,
549,057,845,624,829,764,166,482,026,549,105,506,416,000,207,167,496,596,296,
147,582,200,875,365,384,112,379,429,967,701,032,301,859,715,844,472,948,245,
022,698,153,072,201,914,972,916,348,301,156,452,172,423,410,079,563,340,942,
051,413,335,811,271,234,566,284,952,435,475,482,863,547,551,569,395,282,537,
969,562,472,166,251,212,349,115,028,576,437,905,497,472,637,200,531,709,649,
399,424,996,370,220,959,888,457,936,122,570,442,045,460,851,110,170,101,371,
949,078,826,624,281,609,343,202,718,512,936,896,779,745,241,944,372,844,150,
682,890,128,812,622,427,187,376,567,814,188,411,422,672,710,216,999,171,131,
992,024,702,844,528,987,643,560,390,759,672,723,160,267,083,010,700,798,764,
912,874,859,115,414,361,836,682,861,906,730,840,980,816,182,567,119,116,178,
811,956,559,524,230,691,471,310,659,009,384,160,947,255,819,289,240,053,920,
654,849,680,168,740,436,041,510,369,190,191,999,827,154,892,908,361,627,671,
353,161,589,492,209,378,991,250,933,079,491,632,436,163,554,342,144,845,430,
616,766,912,337,372,729,796,460,589,097,803,722,861,631,587,011,184,165,966,
654,267,810,684,631,511,122,746,836,850,518,382,740,061,707,068,505,931,138,
505,528,678,433,669,007,677,562,428,385,953,735,586,789,061,387,940,836,361,
319,765,714,777,962,730,048,966,580,920,676,236,352,822,754,536,529,532,873,
326,481,412,636,367,214,834,929,852,964,660,385,871,749,913,155,672,212,446,
894,995,940,084,944,091,430,642,545,366,374,199,512,536,066,356,003,282,099,
878,544,654,500,981,217,291,363,602,830,996,872,342,937,004,485,765,260,346,
387,714,965,639,069,105,371,123,585,282,900,243,025,875,552,617,555,236,053,
580,424,445,476,183,919,789,262,516,279,746,633,909,453,080,616,281,449,431,
631,298,782,535,718,848,432,782,370,634,106,970,448,942,195,211,918,770,832,
697,480,522,886,238,769,049,021,807,027,306,607,436,354,365,269,954,715,016,
536,714,465,943,956,651,827,139,751,036,263,729,902,174,424,899,629,382,968,
660,794,718,148,019,773,920,774,231,074,372,657,902,149,762,435,337,116,274,
083,770,048,179,514,050,353,335,349,472,633,728,367,704,095,946,242,960,210,
061,952,631,523,858,096,690,303,503,902,037,651,507,945,122,056,090,278,138,
230,323,661,202,227,327,328,715,372,112,985,966,540,598,198,780,471,169,781,
400,344,473,525,617,404,424,904,628,548,053,255,881,929,457,551,590,031,532,
788,903,153,993,764,440,814,809,997,324,661,961,376,083,860,132,664,120,459,
920,006,606,353,569,594,445,199,429,338,128,825,599,981,778,112,771,130,241,
843,357,540,502,432,246,920,035,191,853,899,534,304,165,357,547,303,059,487,
293,944,714,970,318,094,449,406,529,161,917,066,434,040,520,557,813,612,943,
049,535,318,430,294,188,943,625,357,347,199,404,953,894,832,063,691,399,328,
402,852,776,328,507,274,714,871,729,771,667,339,739,624,882,194,452,207,354,
985,982,068,186,098,685,070,390,001,432,707,442,044,022,926,600,595,737,135,
002,133,108,519,015,082,542,296,775,268,899,790,841,367,863,016,934,937,318,
101,630,629,083,528,551,683,210,306,785,577,822,494,510,777,373,212,763,749,
435,950,763,700,251,057,902,247,672,313,271,628,631,104,920,729,833,669,681,
786,532,872,706,380,311,396,740,166,161,451,777,801,836,011,471,650,040,467,
220,721,267,226,742,926,891,118,344,603,401,326,078,707,283,641,402,649,713,
539,678,970,475,199,929,680,554,412,414,787,051,447,096,754,369,163,257,338,
311,572,835,874,079,969,424,605,455,506,678,655,880,013,869,219,916,872,704,
466,272,036,660,811,411,262,400,451,147,847,075,388,181,263,215,423,337,937,
904,678,545,018,247,551,801,154,288,491,146,429,116,968,482,798,362,450,778,
681,816,417,355,307,928,127,684,433,397,926,607,208,904,983,984,893,593,177,
174,318,743,123,222,546,819,046,806,013,630,960,946,782,364,680,720,607,904,
470,321,915,271,917,148,500,464,758,577,527,871,604,772,442,272,721,961,880,
646,377,753,037,558,308,026,763,655,396,056,915,338,870,817,569,608,421,982,
848,689,713,648,689,697,244,641,731,786,299,033,000,266,361,687,040,072,984,
450,660,240,591,037,914,536,154,766,086,367,998,571,392,165,942,535,645,073,
146,178,127,421,001,236,401,308,661,523,254,322,928,476,454,567,361,305,547,
973,551,138,875,787,196,859,159,395,033,313,486,430,467,713,330,217,950,458,
167,778,759,009,251,484,485,097,194,469,246,458,417,356,680,289,294,615,904,
956,739,198,633,672,863,023,313,756,279,168,427,177,923,543,365,924,854,557,
368,619,152,878,410,518,469,198,962,967,187,156,465,628,592,828,489,704,123,
163,507,603,501,090,241,995,350,289,767,055,849,969,672,937,384,580,403,756,
286,265,443,147,448,121,551,676,565,341,380,225,528,553,318,778,741,076,527,
791,328,258,491,407,816,460,140,379,208,793,938,170,636,692,085,884,742,097,
549,362,060,167,511,131,291,052,068,573,005,706,564,714,624,833,479,464,394,
862,537,082,088,033,278,291,367,064,186,202,129,895,188,885,743,111,313,034,
671,235,675,316,770,184,671,208,711,691,321,394,327,839,768,911,596,706,782,
373,526,940,495,871,657,288,383,153,255,251,573,917,557,723,236,484,305,454,
668,747,409,837,470,479,326,470,456,250,540,407,439,823,438,647,975,919,997,
725,374,285,072,637,316,392,948,726,139,656,387,809,495,822,652,949,249,361,
142,657,489,918,176,043,790,895,371,869,753,002,290,188,610,537,709,406,397,
079,589,617,951,855,747,725,127,775,237,193,900,902,277,697,005,875,173,148,
784,805,508,195,334,061,352,734,223,363,508,476,007,214,583,652,877,768,018,
283,953,181,637,010,481,762,452,578,272,255,943,844,625,700,834,868,953,718,
257,583,835,196,263,835,906,596,151,302,905,521,834,065,039,625,694,563,711,
447,078,467,608,109,915,918,251,756,745,638,261,655,803,348,432,947,414,556,
824,801,146,192,163,931,354,127,100,043,854,579,152,957,866,689,558,194,321,
094,894,504,434,207,310,305,480,635,954,250,410,178,704,002,071,405,574,491,
785,252,432,920,460,892,140,435,383,033,858,476,883,111,381,114,571,747,635,
269,006,878,208,621,249,350,318,529,152,331,517,003,922,062,696,524,396,089,
179,127,608,200,447,794,901,714,864,692,202,152,128,811,665,486,233,690,967,
041,530,107,094,382,767,638,870,668,396,751,991,812,613,239,722,772,964,118,
810,243,298,601,221,560,595,357,350,875,683,995,447,509,573,996,927,018,603,
469,262,640,054,218,806,911,332,280,762,675,035,712,805,854,131,159,792,543,
424,519,487,342,055,370,384,174,712,762,264,814,980,393,059,524,871,515,211,
273,452,628,493,864,500,259,095,980,938,802,309,731,792,413,470,408,339,672,
316,928,567,134,171,249,117,376,867,843,990,550,373,465,256,116,025,221,226,
922,108,670,463,637,540,215,831,535,670,774,305,995,714,920,898,738,769,523,
929,552,450,229,992,939,616,862,021,722,572,042,506,929,412,623,955,469,466,
961,125,286,270,649,026,416,879,360,240,606,194,884,673,446,799,574,029,211,
294,690,736,197,874,382,715,634,061,562,804,021,032,044,080,524,303,021,628,
017,200,120,948,484,512,073,602,619,445,366,646,618,125,955,072,653,769,478,
911,966,070,996,836,796,215,329,292,221,450,094,968,903,947,327,059,849,901,
284,728,931,018,566,993,906,160,736,606,670,523,223,150,228,314,344,881,243,
842,920,960,091,533,455,092,711,275,547,932,105,533,180,431,409,030,939,262,
663,852,343,058,243,637,858,983,148,482,352,602,784,600,160,223,932,087,846,
192,965,435,795,866,086,929,555,681,926,261,645,489,869,562,387,655,249,700,
209,830,333,334,429,469,627,047,377,906,480,499,658,703,305,455,980,448,838,
880,586,555,075,605,240,376,408,973,529,027,192,401,260,686,193,758,190,514,
252,874,573,391,980,616,735,032,311,409,317,970,867,177,940,099,859,155,609,
081,571,367,288,102,863,821,653,052,396,996,202,873,720,545,791,315,626,046,
911,597,105,822,588,672,571,994,655,976,176,142,359,029,012,254,874,024,511,
225,781,407,533,587,727,561,895,789,503,586,904,459,942,348,239,999,638,584,
793,542,338,896,828,090,549,031,350,137,511,733,874,620,731,333,982,409,902,
558,519,751,917,189,342,823,557,109,786,930,728,661,619,729,584,024,052,934,
920,721,631,286,778,830,824,889,883,871,161,371,957,873,492,677,345,363,567,
469,368,744,203,556,871,535,975,798,152,244,193,500,885,849,661,053,744,843,
996,549,169,985,039,136,869,255,876,158,235,793,955,154,968,576,010,732,175,
977,024,479,003,020,164,608,724,437,615,131,787,341,514,456,933,429,374,213,
411,454,547,497,632,843,815,607,258,577,845,025,575,676,517,929,806,692,226,
515,409,224,821,952,418,767,564,511,047,009,881,416,728,158,585,652,433,868,
535,391,934,839,981,797,531,485,202,438,303,744,851,433,391,810,609,657,951,
021,119,088,859,524,181,703,712,358,100,336,370,982,924,678,494,252,284,701,
045,633,031,813,086,115,366,029,957,017,282,063,753,109,785,323,197,320,965,
229,726,681,337,396,210,657,701,082,335,867,578,059,134,070,097,400,038,916,
238,748,160,527,788,700,512,859,322,854,057,640,821,328,250,488,848,513,673,
799,839,275,660,747,846,514,227,954,891,946,919,668,807,195,247,289,162,209,
609,452,360,614,987,217,352,284,796,526,236,631,199,402,569,537,854,068,201,
549,013,240,756,781,497,733,621,732,552,494,720,443,519,816,097,791,600,638,
925,942,259,030,168,666,005,335,007,371,217,697,237,737,125,117,210,576,527,
509,221,841,387,551,200,751,610,719,997,498,125,997,110,947,564,417,555,620,
811,743,027,394,104,123,734,328,864,619,839,860,149,980,324,734,773,023,006,
342,235,582,056,646,733,159,878,133,504,963,393,104,205,591,676,893,160,779,
006,944,854,206,645,685,547,506,236,971,418,634,740,534,130,420,617,974,906,
270,594,260,725,729,211,985,090,427,107,047,791,575,386,733,548,874,901,490,
084,326,359,262,707,514,637,010,669,295,948,246,328,241,991,834,099,596,267,
015,791,924,912,000,287,746,316,231,811,427,838,543,710,667,267,260,630,802,
444,181,424,889,045,885,161,920,971,475,936,598,866,503,221,284,533,821,335,
770,720,763,263,589,629,107,997,932,591,740,840,626,656,752,456,910,268,590,
202,443,517,998,075,116,296,790,433,921,268,982,597,196,530,308,399,790,835,
785,300,948,539,730,378,273,628,664,909,169,694,326,711,597,947,834,221,187,
194,406,543,635,957,293,059,255,326,563,361,336,046,735,900,382,314,672,395,
143,286,058,147,974,344,457,325,391,898,829,519,928,005,005,493,201,520,709,
092,497,027,977,796,654,669,627,705,350,662,396,675,907,863,987,655,093,948,
539,533,127,592,644,316,840,914,890,012,271,392,573,481,763,804,424,925,257,
965,897,926,702,960,634,547,371,275,769,223,801,375,134,646,359,267,599,121,
782,451,692,217,245,010,850,341,012,644,112,286,387,546,375,272,968,023,555,
188,031,118,187,918,079,479,069,485,024,936,381,180,433,636,674,248,016,322,
222,109,213,636,431,118,323,678,551,872,981,568,509,630,078,059,918,358,642,
922,018,102,713,727,386,456,539,055,167,964,632,727,833,370,752,151,005,442,
833,073,267,795,716,716,094,802,198,285,178,796,369,984,240,819,080,082,058,
521,352,501,707,337,042,356,069,788,434,345,528,795,759,760,526,665,621,242,
688,744,462,394,090,938,319,948,633,297,950,858,031,330,284,691,250,063,246,
708,680,984,223,331,420,316,787,200,206,725,030,694,574,340,684,413,940,014,
534,260,815,891,949,571,951,357,241,865,322,259,942,023,546,285,239,447,316,
161,665,761,188,864,460,982,900,531,776,460,275,368,156,959,444,719,706,425,
835,525,903,033,324,780,047,814,771,311,368,179,055,072,447,224,220,098,871,
642,102,220,135,665,974,114,977,951,294,302,324,597,669,080,994,501,994,697,
205,327,251,686,226,006,039,966,493,217,365,293,011,292,569,641,675,370,139,
237,035,186,195,005,269,412,630,244,438,223,872,577,256,756,470,057,982,949,
701,826,723,153,198,016,781,465,950,343,180,496,086,545,558,197,416,318,047,
541,122,026,419,745,021,358,536,974,240,867,098,955,268,417,579,684,557,710,
842,990,925,621,215,498,709,282,447,753,968,908,011,368,069,628,171,496,041,
381,598,114,314,887,458,048,497,547,576,069,833,187,023,916,290,028,245,478,
376,681,463,495,378,055,474,718,263,107,913,757,053,111,519,256,472,472,083,
918,653,358,741,773,016,066,068,772,125,067,162,611,644,866,843,323,501,702,
958,520,768,355,517,625,171,770,280,671,483,865,396,669,754,942,817,412,223,
462,915,115,230,445,688,321,044,573,789,201,260,582,144,381,746,769,040,721,
339,412,116,423,831,448,863,042,512,515,858,275,189,456,831,957,812,935,325,
571,048,521,238,059,061,553,000,865,309,724,808,443,568,429,889,012,773,323,
321,134,603,341,756,516,279,295,105,428,830,913,643,925,930,893,529,581,529,
773,664,756,700,032,738,092,248,192,567,182,294,396,707,120,904,822,518,203,
322,177,619,025,829,854,002,025,207,978,648,135,584,054,233,247,623,059,707,
742,888,398,171,354,755,939,597,808,497,796,263,096,385,074,277,069,333,517,
740,635,188,066,657,937,328,424,196,685,611,348,820,402,859,976,842,849,603,
362,302,795,162,832,596,510,688,490,061,808,436,363,592,474,699,220,724,467,
134,347,011,195,620,664,945,048,042,841,895,446,980,959,081,424,315,641,236,
078,835,903,358,603,766,372,192,486,206,994,596,234,442,027,543,010,507,446,
792,158,351,676,938,406,192,512,202,995,604,387,873,840,828,898,370,285,948,
321,145,573,616,701,081,288,635,266,902,138,377,625,377,565,987,860,025,068,
105,865,478,293,881,279,274,826,121,243,035,641,804,997,005,893,302,454,060,
302,967,835,881,538,405,368,122,494,243,189,810,822,013,217,809,134,074,960,
984,508,319,295,371,388,274,206,466,173,483,310,864,727,895,312,040,535,275,
470,168,608,323,645,251,526,909,805,382,692,220,352,439,536,797,875,247,383,
664,723,375,137,991,797,250,084,500,240,724,260,229,743,977,458,720,063,867,
698,895,052,386,613,548,161,511,163,176,508,989,284,439,543,645,608,096,005,
712,891,242,351,599,645,524,978,127,270,213,757,612,905,303,897,141,387,961,
061,074,823,487,561,685,196,845,237,348,586,349,302,148,113,126,046,450,873,
689,616,074,868,490,135,798,088,465,058,346,447,450,081,774,938,467,579,322,
142,679,221,110,204,267,506,433,328,508,907,621,164,750,874,142,000,806,708,
883,132,680,415,490,307,157,311,070,408,481,686,685,723,185,643,344,128,349,
239,639,341,491,377,110,870,571,067,129,114,580,169,276,596,027,022,783,957,
087,810,801,671,102,020,212,497,219,819,303,327,493,389,111,191,713,621,665,
669,873,014,614,492,166,618,957,810,221,958,291,078,137,023,988,826,315,876,
955,695,760,561,543,068,854,100,320,275,007,111,593,951,222,988,298,621,082,
966,915,914,759,868,104,727,475,499,744,580,542,044,007,203,541,979,444,599,
587,170,739,351,440,394,466,534,647,823,333,773,107,057,948,416,194,370,915,
811,740,164,558,076,750,707,142,339,839,624,458,403,496,909,301,010,450,350,
194,109,385,695,954,433,285,298,607,069,328,913,534,426,733,810,550,819,159,
287,851,540,409,451,131,785,377,312,610,495,417,536,023,305,421,813,372,507,
234,524,001,745,634,977,865,551,774,821,801,526,488,077,771,930,172,612,063,
968,893,780,734,523,725,084,725,845,939,044,819,909,871,325,325,018,195,684,
683,828,512,024,293,273,621,929,746,935,044,517,534,128,550,523,867,685,218,
221,752,967,009,573,089,196,693,046,107,885,332,342,842,737,795,449,052,217,
815,008,968,413,750,104,352,170,433,144,353,186,902,726,160,802,533,943,553,
418,693,433,594,854,638,805,023,408,294,337,226,850,245,482,800,616,026,869,
070,694,500,739,803,425,034,195,839,075,344,151,563,289,104,092,439,979,794,
936,145,836,939,407,585,520,532,495,580,724,272,343,576,812,659,053,538,100,
102,553,659,681,697,990,657,384,273,738,415,101,483,942,651,216,123,221,282,
533,832,902,635,466,137,862,042,490,678,280,672,572,263,222,499,853,022,671,
922,781,818,451,424,737,956,516,329,799,571,772,644,303,639,901,868,227,775,
493,598,459,542,100,320,924,109,862,157,667,163,506,712,032,466,149,592,175,
193,603,463,022,238,892,535,909,912,418,144,751,039,784,254,606,554,122,105,
436,432,867,695,224,459,173,288,838,398,714,198,453,402,300,080,272,100,294,
058,009,264,199,348,821,599,346,162,413,090,801,516,976,400,828,895,595,562,
743,467,895,570,034,188,090,391,203,758,834,959,889,563,721,806,349,634,250,
589,491,968,498,445,386,085,393,131,934,326,139,814,696,533,109,167,776,196,
465,036,170,031,982,330,839,916,728,591,217,129,513,371,696,808,222,593,764,
130,464,857,133,325,359,841,385,022,745,063,032,979,333,530,846,511,350,271,
340,603,955,947,957,851,345,724,004,049,150,754,035,510,583,527,620,102,687,
116,716,917,504,344,717,623,516,588,407,306,418,594,748,194,391,669,771,092,
436,556,067,522,834,598,227,119,210,435,860,844,455,777,570,819,822,772,479,
640,675,516,232,680,142,429,168,379,440,430,017,605,957,427,315,637,201,833,
838,400,453,891,410,849,426,433,291,060,535,674,519,904,612,486,086,100,801,
169,678,971,550,083,933,217,606,150,295,531,875,781,600,056,399,035,763,214,
594,701,921,102,622,143,949,520,557,569,815,648,391,353,405,720,537,455,258,
029,164,776,398,291,715,769,809,555,777,020,397,206,652,156,566,497,713,599,
845,963,483,024,697,466,944,200,407,566,664,355,912,482,710,011,372,236,444,
167,584,436,932,833,773,897,274,773,893,095,594,677,994,783,066,277,238,033,
884,809,516,324,831,535,125,592,217,524,458,108,995,191,102,220,515,434,345,
717,801,192,112,310,178,859,828,463,907,067,096,791,889,660,811,821,476,246,
623,436,555,254,323,573,319,827,794,830,938,598,948,836,096,839,118,837,691,
094,573,394,561,627,353,779,402,213,162,639,830,687,458,267,579,731,398,823,
629,669,085,217,184,423,887,556,349,241,863,527,582,030,284,442,873,865,560,
254,564,904,837,624,552,851,697,089,328,901,687,965,750,501,248,569,053,209,
229,382,625,419,260,477,703,142,456,567,655,982,784,664,964,593,660,074,046,
769,145,821,273,709,803,739,257,262,612,446,688,077,683,213,648,475,009,507,
773,498,802,936,063,358,755,865,069,301,613,037,020,452,458,171,463,258,966,
840,998,805,038,139,144,957,453,900,669,204,089,630,773,416,954,090,816,464,
185,431,115,688,279,634,939,334,532,304,300,767,938,550,197,937,412,547,989,
582,029,631,322,924,595,552,756,086,855,195,186,046,719,464,808,773,356,545,
659,574,735,906,041,317,419,778,582,969,660,372,769,834,384,667,156,941,568,
688,275,434,717,312,859,379,390,550,456,145,746,914,668,624,005,913,352,515,
323,811,195,591,609,296,622,642,521,037,351,093,400,445,708,875,535,770,723,
173,960,287,349,003,549,582,785,704,070,616,038,522,128,004,875,677,386,853,
932,790,456,038,299,996,171,172,785,419,712,484,682,923,743,296,067,981,888,
583,759,744,988,408,656,981,185,228,809,977,599,416,675,816,186,399,797,785,
005,859,357,054,617,817,276,328,829,553,378,939,637,431,121,159,140,201,312,
745,836,077,308,095,560,193,875,306,136,590,545,226,233,633,644,222,263,862,
915,414,848,575,681,654,834,585,980,357,861,310,572,557,595,141,478,675,440,
366,903,451,417,289,211,625,855,939,146,769,478,992,587,123,353,142,286,718,
758,254,729,157,988,964,439,113,534,304,049,235,227,527,709,852,716,884,341,
864,076,714,888,763,880,926,853,731,880,741,796,014,835,493,720,305,131,543,
767,558,874,306,789,217,173,023,529,437,474,095,389,683,472,882,262,191,609,
183,957,603,189,944,563,195,854,436,425,453,523,360,154,652,597,273,957,629,
506,990,588,183,103,098,081,996,410,105,705,324,036,242,909,340,947,114,213,
814,353,225,969,241,704,313,940,061,532,535,089,791,242,698,675,554,441,383,
790,392,615,481,852,695,353,512,481,432,035,635,491,440,772,324,872,904,278,
178,515,385,610,518,041,396,250,799,666,160,223,466,173,119,009,577,707,488,
694,527,443,995,409,159,143,104,490,195,591,253,830,952,268,878,360,044,615,
434,948,641,671,644,620,864,747,467,588,595,300,707,730,191,487,027,468,742,
993,860,005,864,100,925,719,944,146,015,516,844,058,247,812,061,455,320,984,
620,001,141,674,583,546,357,409,536,814,135,360,979,952,899,222,534,942,377,
813,380,153,741,755,215,799,529,422,803,292,372,212,983,251,006,153,504,115,
322,370,714,214,215,760,172,362,361,586,198,874,950,793,228,706,564,990,112,
471,768,900,111,598,175,953,907,220,131,420,082,104,846,722,086,197,104,225,
606,020,120,376,911,380,479,492,172,452,193,864,359,290,461,759,112,446,357,
947,499,900,476,402,475,550,619,492,337,269,554,600,483,587,501,612,831,653,
391,991,191,927,423,055,534,326,110,150,807,232,133,543,570,318,011,991,916,
425,849,715,275,750,177,156,994,391,446,719,592,686,738,336,853,977,380,542,
210,028,808,856,666,318,920,921,174,614,189,700,271,581,841,646,037,118,842,
007,825,739,212,984,608,794,282,190,178,591,828,503,171,759,699,584,198,283,
047,020,692,583,160,740,136,518,447,991,840,483,632,023,801,067,318,652,770,
571,890,701,590,109,089,816,873,690,966,608,904,305,127,870,678,702,530,117,
565,542,228,253,726,751,796,349,815,684,319,936,555,510,729,709,117,512,115,
320,611,368,039,614,078,880,764,573,454,961,901,324,643,442,253,699,825,592,
535,829,195,515,261,496,295,003,097,447,334,436,799,619,462,229,338,696,661,
220,061,878,234,910,480,792,894,158,287,748,310,201,513,664,446,075,344,543,
867,200,212,947,563,640,359,191,342,169,515,306,519,059,379,024,559,769,635,
911,991,195,283,305,671,558,757,413,250,528,539,083,218,623,352,195,782,777,
514,641,100,876,077,756,189,171,152,708,396,060,606,263,009,539,595,896,033,
282,590,277,455,529,974,085,990,483,738,537,598,625,347,342,847,473,313,848,
740,544,211,380,786,190,552,077,369,594,516,471,914,459,269,341,610,689,940,
494,385,782,773,790,835,976,566,827,703,960,510,385,830,815,353,408,131,348,
412,376,711,712,334,374,124,234,456,260,993,531,839,434,735,773,968,427,183,
794,151,188,375,342,561,412,819,724,369,357,342,250,659,797,564,087,642,443,
042,019,936,865,108,585,160,164,669,704,289,867,766,877,615,488,697,515,225,
917,190,972,627,968,239,813,144,844,151,758,728,617,155,335,453,958,315,390,
603,943,301,842,511,782,042,646,219,873,758,624,005,673,713,291,323,505,797,
302,743,221,869,797,759,384,289,627,567,476,772,517,126,327,112,488,490,114,
012,618,913,184,026,124,965,972,445,024,400,755,861,239,689,574,337,135,330,
535,111,624,456,925,269,339,859,176,662,714,917,316,837,914,811,785,219,991,
351,665,127,696,862,725,646,322,886,126,268,667,568,088,811,633,002,898,807,
505,931,114,362,592,252,818,719,986,554,484,365,318,959,280,587,941,275,675,
804,227,664,035,959,715,006,333,347,884,026,372,424,046,070,787,643,961,546,
538,808,802,832,594,025,655,116,999,907,025,572,574,055,025,216,885,392,472,
748,501,954,779,788,289,099,606,091,081,215,904,810,297,274,170,262,832,869,
811,538,681,458,983,187,477,093,884,721,511,806,409,419,544,013,776,336,393,
724,936,959,912,329,665,511,248,772,450,165,800,974,615,914,222,253,678,640,
867,382,044,676,551,179,275,104,431,022,898,970,356,363,986,994,503,900,248,
126,155,185,020,801,949,092,346,695,583,711,225,593,969,634,866,175,533,617,
678,000,314,599,311,893,269,835,312,652,186,301,947,129,475,360,683,771,495,
848,346,637,363,711,075,533,970,715,135,794,193,622,460,071,142,298,211,454,
219,726,220,926,725,048,051,133,801,723,240,727,149,112,663,053,809,800,205,
649,431,366,938,209,583,059,630,569,572,003,411,251,888,784,285,721,129,170,
389,492,300,747,516,309,765,035,900,582,613,793,520,754,472,424,321,707,665,
572,454,613,782,171,244,764,331,080,865,107,077,984,748,373,747,066,878,897,
781,714,045,700,497,426,988,014,756,564,239,951,816,524,536,956,679,862,013,
424,193,340,208,454,522,004,651,398,105,519,812,552,838,754,880,541,682,898,
102,371,516,158,527,516,516,484,649,097,825,372,646,894,842,547,526,695,032,
225,545,853,373,532,610,075,637,068,369,968,379,888,759,595,839,660,652,801,
297,451,271,366,038,475,284,925,813,858,817,549,242,591,624,240,143,000,923,
155,450,076,127,543,711,809,400,336,521,073,917,993,267,038,762,953,860,627,
986,868,660,726,156,469,118,143,838,113,858,352,936,368,938,036,137,816,984,
172,918,688,932,202,482,520,927,462,095,569,746,382,795,286,293,771,687,032,
008,168,072,423,158,438,272,678,708,530,576,585,098,681,609,640,856,630,215,
760,067,971,490,271,725,034,792,887,978,469,964,782,105,250,718,238,960,713,
716,250,671,273,019,120,817,903,922,127,573,474,592,843,005,842,599,136,641,
276,519,807,667,758,752,938,421,349,870,678,674,602,845,892,795,373,062,992,
861,242,052,365,674,054,990,371,913,998,416,511,558,599,317,974,322,028,334,
302,320,562,816,794,122,590,812,196,586,394,712,682,638,485,430,909,996,941,
794,475,956,138,351,728,198,764,319,728,413,839,549,349,381,487,722,789,400,
737,109,827,251,158,470,427,649,579,368,535,840,451,135,106,712,041,852,221,
250,961,188,107,184,308,241,485,554,461,765,721,573,275,364,303,533,464,291,
257,985,894,501,981,643,302,237,813,268,529,532,767,436,610,042,802,567,230,
624,867,582,873,065,822,722,947,572,051,466,905,078,301,349,833,102,299,484,
915,370,612,416,668,353,947,000,514,899,045,371,632,656,516,695,441,986,540,
813,375,403,268,599,176,744,785,495,792,419,065,312,993,705,575,982,087,875,
543,954,745,096,221,447,077,597,741,669,670,475,052,167,396,834,829,479,515,
537,515,711,381,961,494,097,495,475,302,205,846,592,623,582,520,677,361,391,
507,566,316,729,676,139,883,407,931,925,609,781,541,553,731,947,049,438,020,
158,509,981,658,442,864,063,439,764,468,165,784,659,994,952,573,073,532,661,
833,540,496,823,719,179,705,413,052,507,849,685,910,809,494,026,911,313,529,
825,421,524,829,181,863,344,349,919,292,878,684,132,175,965,568,919,512,174,
499,777,894,551,594,970,257,803,561,283,629,219,491,201,601,239,377,157,002,
008,117,615,766,764,697,445,811,712,009,543,249,018,419,326,208,083,470,444,
084,228,760,173,365,987,526,630,206,583,385,081,393,999,579,921,904,352,581,
651,216,302,224,381,227,452,205,574,327,621,713,929,758,264,544,265,602,339,
484,596,506,742,623,044,968,596,942,683,137,499,634,668,954,250,856,653,110,
753,424,407,884,780,420,957,373,191,293,098,438,590,074,007,801,573,436,682,
791,201,860,574,762,687,978,084,666,566,006,103,868,481,311,493,000,793,722,
790,166,511,628,467,058,588,199,782,703,534,984,157,738,601,798,030,698,523,
869,520,286,212,473,516,559,141,234,643,977,060,997,504,102,639,207,859,843,
346,008,970,331,745,955,322,330,023,191,947,404,427,277,686,964,309,997,494,
957,002,886,018,467,926,220,198,602,086,373,879,457,934,873,938,311,677,638,
296,389,202,433,748,012,647,112,555,515,211,983,569,894,709,218,058,069,853,
124,614,386,357,413,129,367,939,367,266,493,905,131,577,376,353,082,495,127,
312,616,820,902,782,243,589,228,834,994,228,033,326,695,235,557,426,732,332,
520,408,233,854,794,597,761,043,891,543,532,921,704,883,527,166,392,620,867,
336,066,833,607,169,335,146,559,737,872,148,328,117,881,543,171,035,849,664,
707,140,066,213,399,949,105,530,532,420,307,424,651,822,537,103,403,391,162,
766,492,295,676,141,136,382,359,264,503,974,036,655,625,811,079,430,458,341,
772,632,212,938,062,180,148,391,788,206,496,488,125,098,649,622,018,257,684,
975,473,500,082,081,060,168,796,526,244,805,778,948,792,494,456,687,998,473,
791,428,756,387,415,493,028,755,729,385,910,048,844,801,097,097,678,833,448,
520,657,023,382,464,698,882,655,289,242,975,601,922,259,154,160,607,049,539,
910,352,174,778,696,080,559,175,364,272,130,828,799,798,770,367,349,321,177,
125,537,073,979,132,817,349,923,629,454,410,122,998,300,997,242,287,919,601,
044,751,626,564,937,108,962,741,461,272,050,491,172,826,762,067,461,660,375,
085,697,821,941,180,734,463,077,755,963,077,730,312,162,548,010,604,105,341,
947,142,647,305,880,795,386,817,629,724,756,821,171,544,656,448,168,885,930,
727,564,496,263,436,129,034,860,703,093,475,365,969,821,520,001,431,786,559,
768,889,728,749,219,873,132,811,037,195,692,558,750,465,894,608,078,656,447,
617,635,800,882,039,594,092,781,731,410,477,737,255,575,907,159,698,369,482,
869,271,960,286,374,860,389,986,631,639,303,573,862,473,337,762,476,187,341,
687,214,921,906,733,324,861,667,717,050,917,017,754,252,013,733,035,434,379,
487,761,910,201,960,605,889,776,189,686,148,495,482,558,293,417,114,362,951,
415,083,189,976,905,525,889,646,311,974,997,339,734,694,531,646,974,615,938,
611,574,380,263,991,481,501,365,997,566,931,480,645,399,732,638,874,933,022,
974,237,038,744,900,351,503,352,637,317,658,800,349,273,589,595,146,332,832,
919,339,440,256,404,892,999,958,408,086,036,010,371,611,560,049,155,949,600,
001,094,923,102,434,024,194,450,812,783,358,126,653,081,758,287,712,842,089,
493,055,004,441,481,145,869,411,687,753,858,204,939,920,746,050,870,491,895,
782,375,658,905,998,444,324,836,266,867,668,106,283,160,392,182,005,399,672,
936,716,016,593,126,434,253,821,868,368,308,851,131,629,397,995,838,027,838,
606,670,234,464,288,782,012,336,927,612,883,617,691,027,438,762,410,354,622,
177,012,399,906,976,280,197,664,292,164,723,145,485,595,759,310,259,213,249,
178,237,570,868,355,046,063,645,507,091,228,835,472,605,983,072,081,427,740,
870,953,202,914,850,854,715,898,741,307,322,629,607,751,862,862,518,242,066,
282,371,297,392,519,622,291,155,947,793,902,136,768,865,731,762,510,786,163,
845,755,748,561,609,186,499,993,384,057,127,262,812,642,514,328,911,384,702,
740,757,843,175,690,641,049,601,232,692,578,846,239,557,230,441,540,769,109,
374,933,536,327,171,618,262,308,034,042,534,503,147,752,800,522,713,154,561,
958,433,856,990,671,658,292,627,073,093,317,086,257,634,792,712,474,023,674,
283,155,553,196,264,570,031,248,343,776,871,175,331,049,755,488,724,072,957,
420,727,869,315,629,148,862,055,229,667,751,276,080,645,477,794,677,778,391,
099,993,635,055,550,156,151,259,351,575,611,329,458,385,602,748,359,318,760,
683,247,125,153,592,400,039,311,620,594,332,542,326,656,092,878,903,699,825,
582,700,632,321,066,118,379,305,230,814,765,530,043,036,219,183,398,422,939,
774,669,766,926,043,611,904,906,812,729,704,905,037,781,031,969,120,454,985,
766,325,814,834,182,786,624,454,700,954,604,438,127,840,455,143,327,456,637,
485,851,812,118,058,287,318,107,264,968,062,763,226,305,172,288,730,613,086,
911,074,618,382,045,374,592,994,059,741,058,245,949,083,228,598,359,261,643,
709,714,205,346,246,105,785,829,057,040,833,430,719,385,218,056,076,597,897,
635,033,214,836,728,597,106,364,983,229,447,310,249,958,162,957,075,217,408,
816,079,655,861,547,004,567,158,229,152,153,333,661,624,664,396,523,381,584,
783,847,339,370,461,452,705,417,182,153,097,551,035,587,773,195,928,608,570,
092,365,857,161,121,404,639,415,714,713,339,532,967,808,270,644,813,190,521,
428,349,739,182,453,222,674,875,543,769,646,698,957,056,656,059,303,438,788,
882,608,015,979,757,725,060,615,206,541,200,359,400,512,732,325,772,064,853,
249,858,890,191,426,269,914,614,205,393,685,100,303,541,938,058,987,064,696,
228,393,281,232,391,507,059,877,787,840,931,415,534,021,249,743,561,678,074,
962,678,510,568,488,749,536,237,183,877,493,687,688,851,653,953,929,358,791,
427,596,067,523,657,240,160,677,458,919,354,919,938,997,064,296,587,869,718,
399,468,459,250,871,290,531,728,564,617,958,697,233,878,169,324,928,576,123,
629,543,392,955,538,810,191,320,264,631,420,457,338,147,585,565,731,546,634,
364,028,809,868,861,058,526,599,412,062,678,268,424,614,523,757,307,240,895,
392,470,035,662,146,984,952,299,979,449,734,042,520,886,615,831,376,562,959,
685,557,873,883,303,770,021,998,785,760,920,857,736,999,380,212,524,906,347,
449,372,062,880,232,591,936,241,823,473,158,535,090,374,272,757,314,295,209,
221,853,595,553,241,667,930,183,674,286,345,588,891,589,325,190,986,429,209,
668,361,431,687,404,354,846,879,173,753,643,551,726,607,726,939,894,355,084,
019,140,502,706,588,079,888,056,675,870,797,959,400,181,708,709,378,890,018,
927,734,830,733,363,731,111,861,739,772,629,519,205,125,888,527,170,957,659,
702,593,257,559,624,984,841,651,423,882,781,261,801,144,393,193,231,582,853,
250,116,041,894,509,711,612,189,294,413,448,929,460,694,154,724,723,434,342,
573,460,840,203,247,473,181,542,366,369,598,027,449,682,465,504,679,774,035,
707,000,289,839,936,759,529,442,250,630,395,673,185,967,272,843,169,586,385,
433,828,305,127,822,810,829,837,829,287,186,501,491,225,910,506,059,821,066,
354,203,254,227,158,938,793,220,876,191,512,064,974,511,374,496,690,103,128,
275,222,544,609,661,858,087,555,436,163,546,846,395,163,363,344,252,747,244,
262,668,702,236,336,879,587,793,952,386,440,957,902,495,998,768,549,340,468,
506,566,794,709,298,392,247,332,399,228,089,485,777,536,600,877,719,617,157,
211,758,773,088,910,304,443,425,924,669,613,355,520,967,870,314,686,696,537,
811,981,246,789,893,055,215,419,388,653,516,428,184,082,133,967,946,457,609,
739,993,166,778,143,035,381,132,702,731,517,074,364,766,560,468,249,238,679,
724,584,368,947,594,506,714,966,829,279,513,194,253,460,267,603,423,430,283,
181,779,930,771,663,196,565,245,285,916,800,782,891,710,097,626,836,044,544,
106,506,274,679,244,120,535,693,238,950,403,385,718,693,711,203,972,646,820,
115,842,715,299,470,151,288,672,026,465,473,382,921,875,337,584,650,618,778,
709,093,871,702,202,702,219,088,309,556,166,992,341,241,462,042,254,696,974,
120,083,883,096,926,555,105,024,462,705,179,838,102,296,339,314,231,499,414,
443,674,372,286,323,971,987,891,940,937,038,187,673,769,497,573,394,553,095,
041,436,923,004,234,363,231,447,058,736,319,812,698,017,396,133,889,557,447,
958,613,090,742,363,821,421,367,749,852,483,589,781,605,093,520,195,254,439,
710,856,556,853,107,552,207,838,856,304,848,977,368,370,992,256,236,783,878,
156,610,802,226,232,180,747,818,794,625,835,847,889,371,351,012,436,010,510,
530,224,160,247,854,031,958,698,326,264,285,557,653,559,447,641,823,194,032,
030,833,401,777,963,176,213,458,370,026,068,628,082,215,354,375,331,917,682,
698,610,985,294,727,342,460,337,072,087,902,403,196,853,263,360,702,367,462,
390,053,362,426,142,865,859,038,342,920,823,820,018,809,152,503,901,030,004,
944,614,821,596,680,688,744,029,843,998,636,640,086,984,935,396,770,548,917,
789,295,779,660,751,768,202,702,708,002,941,806,584,384,261,611,222,608,916,
151,764,478,852,691,862,775,567,974,316,525,723,427,165,178,547,364,988,965,
531,963,558,945,182,230,634,034,817,519,005,948,258,153,521,203,621,678,630,
218,029,484,417,814,957,087,308,855,567,823,169,167,290,418,294,108,219,975,
988,810,534,230,755,319,383,950,661,255,633,204,883,807,646,817,221,083,065,
221,204,154,712,288,895,709,475,242,780,793,162,995,049,717,418,843,218,000,
176,707,334,234,810,138,339,838,275,441,155,727,429,586,460,830,916,242,472,
369,725,672,720,695,301,438,933,197,624,666,765,694,925,134,645,617,674,333,
647,759,746,232,511,343,417,423,713,053,731,276,159,150,829,897,841,401,774,
834,070,783,216,926,828,473,502,643,107,013,748,642,252,923,080,377,465,689,
696,007,413,478,633,287,777,905,454,494,418,703,204,716,394,945,600,742,907,
446,646,336,854,683,462,133,768,222,933,330,351,571,470,643,932,387,708,894,
727,730,499,854,235,743,239,820,211,601,702,862,403,553,038,136,486,129,667,
068,349,831,044,037,047,757,893,611,684,823,175,279,880,109,563,965,083,392,
849,001,448,371,193,909,081,553,731,893,523,848,218,184,327,341,729,202,602,
865,595,773,434,186,463,270,345,061,589,225,464,244,439,167,232,996,887,809,
445,849,635,854,724,229,967,520,265,019,518,938,874,914,574,388,467,289,479,
531,911,333,832,248,907,360,100,032,201,850,861,067,037,225,962,382,891,508,
300,916,303,583,313,355,872,646,413,304,058,854,435,294,682,157,264,999,578,
321,258,958,274,533,770,771,678,646,870,313,544,565,546,835,260,511,849,736,
634,006,775,934,915,184,977,747,758,647,604,777,535,101,100,550,960,361,188,
963,348,936,507,918,701,420,221,050,645,559,150,201,007,102,567,712,750,853,
325,890,524,566,204,686,593,106,389,758,125,615,394,977,895,632,740,194,546,
150,932,736,343,719,110,923,815,993,255,791,069,205,274,051,269,125,894,941,
346,246,374,193,307,947,169,889,358,742,965,868,081,338,301,786,769,741,670,
293,664,537,346,838,696,406,831,621,383,020,658,713,963,341,959,876,731,436,
072,586,263,585,593,496,423,539,444,024,109,431,387,579,716,473,962,034,853,
031,747,745,401,270,947,257,263,696,795,091,766,345,901,843,428,207,841,712,
055,189,558,463,270,928,530,338,470,615,977,960,092,516,651,282,617,893,152,
633,466,788,593,112,682,887,891,604,631,595,819,919,904,898,374,061,509,439,
800,507,758,406,958,986,525,371,348,885,895,369,266,075,697,336,118,264,237,
435,314,403,951,991,132,744,381,018,831,393,148,248,457,637,388,649,951,081,
965,839,432,132,482,255,030,151,716,526,414,540,126,279,643,342,775,600,647,
735,558,857,598,024,689,640,282,241,770,882,542,150,242,698,876,113,289,938,
985,575,089,077,290,944,554,125,198,611,351,966,594,102,185,635,007,059,389,
372,354,204,673,243,317,115,122,863,379,668,186,403,947,651,723,022,926,864,
264,481,796,192,376,375,059,612,313,524,995,792,192,190,161,232,411,467,718,
173,881,244,585,849,024,957,023,476,077,755,229,550,917,431,881,801,313,630,
043,540,449,051,120,476,618,004,685,797,251,891,012,682,271,411,009,939,225,
458,377,511,982,726,968,208,214,122,130,809,765,794,754,593,260,622,626,464,
416,801,396,807,911,436,192,228,640,342,924,549,214,677,278,239,084,504,002,
621,330,403,270,328,404,519,678,428,962,133,851,902,927,307,511,089,665,303,
031,206,704,226,314,317,854,587,806,884,476,827,265,814,755,297,577,271,180,
689,805,402,542,110,893,623,516,547,908,722,406,334,619,664,751,754,553,365,
151,056,276,343,835,534,455,576,486,416,680,740,953,187,024,808,045,748,837,
391,656,874,735,895,251,383,407,160,779,690,621,992,977,704,230,675,981,575,
702,763,541,468,794,596,688,768,120,609,085,406,821,907,749,675,693,020,566,
508,461,699,966,177,435,842,437,919,965,102,108,039,010,090,859,425,792,144,
177,089,213,626,406,894,365,975,170,641,008,540,403,507,293,094,800,879,915,
994,831,828,700,754,641,146,609,975,907,246,381,495,335,753,668,411,261,274,
012,929,407,478,602,430,818,079,486,190,831,332,028,042,644,111,537,025,331,
048,863,403,362,643,199,329,636,703,454,502,316,648,331,296,267,377,732,261,
434,658,375,806,917,483,277,029,655,573,063,196,544,982,482,342,028,343,869,
154,801,052,479,285,355,870,187,857,132,055,949,078,617,670,024,095,166,501,
464,285,289,371,135,766,068,308,395,387,324,440,478,153,671,182,054,426,080,
019,440,430,113,602,357,121,229,098,409,157,271,528,939,507,374,684,610,462,
526,359,592,583,725,294,662,507,718,489,106,622,828,746,319,023,831,692,282,
504,755,176,453,969,733,106,995,172,472,046,483,537,339,973,123,275,391,868,
401,296,898,823,266,369,455,794,021,034,651,791,590,421,941,222,343,223,629,
488,185,213,069,352,507,688,934,047,016,042,597,183,815,924,901,026,400,536,
414,464,397,037,092,275,550,950,902,438,120,983,642,404,245,674,410,987,935,
120,093,631,165,806,446,789,419,339,188,299,395,075,750,181,390,013,590,694,
009,295,143,552,923,089,964,398,490,463,753,986,102,280,089,481,588,503,717,
526,066,417,028,245,576,513,349,669,124,545,534,458,807,237,098,385,488,585,
067,119,109,319,551,867,552,515,011,119,483,825,307,953,926,607,432,831,591,
768,752,339,546,171,000,611,258,094,956,221,339,032,023,988,602,859,285,100,
001,644,238,534,616,179,678,993,685,690,361,808,251,615,821,270,681,308,871,
283,555,055,782,299,964,832,411,497,532,543,509,607,721,514,741,805,185,899,
815,658,691,278,928,469,029,179,396,318,355,911,157,288,242,808,223,803,882,
908,571,002,046,706,875,673,608,521,260,446,600,796,338,160,685,749,159,240,
127,596,857,032,450,376,205,137,706,119,422,534,494,818,749,126,883,500,033,
622,386,391,922,260,054,824,969,152,754,490,873,153,190,643,165,897,859,482,
720,874,563,111,139,862,938,968,910,555,380,223,760,659,796,167,931,909,104,
177,587,720,729,445,124,642,830,201,574,307,604,747,002,606,222,842,848,460,
977,819,190,492,195,219,131,633,913,501,709,650,259,015,507,904,880,970,194,
713,504,066,151,759,905,052,833,473,629,982,281,812,989,014,566,303,720,396,
077,179,888,185,442,116,884,724,193,825,603,584,466,272,162,370,992,218,587,
961,749,404,575,619,493,879,024,880,846,214,852,687,362,298,494,532,832,651,
657,242,278,569,823,986,091,904,968,502,222,303,431,279,850,418,785,273,003,
050,548,740,986,346,060,121,449,936,450,939,071,658,157,822,461,974,741,732,
558,275,754,760,436,320,466,785,412,049,058,779,944,168,280,261,044,821,999,
711,912,277,799,147,188,658,615,208,563,381,171,765,977,104,305,875,353,398,
055,895,948,582,889,319,403,482,289,711,244,727,331,490,830,238,579,013,175,
943,805,212,464,984,544,276,557,235,513,607,308,005,195,189,209,715,442,841,
784,618,410,325,479,774,468,676,549,568,625,410,225,985,833,261,204,685,695,
852,643,309,054,782,950,834,617,745,591,510,470,082,769,433,046,198,282,301,
147,740,889,738,687,695,181,905,069,443,928,488,461,217,122,210,441,968,906,
684,395,773,280,831,686,046,096,418,452,413,688,252,247,754,973,665,007,546,
703,281,627,785,888,110,895,456,275,621,028,826,853,984,551,963,882,425,825,
317,159,722,112,680,873,595,107,491,985,528,554,355,329,584,627,767,946,988,
550,003,067,382,230,655,686,165,930,889,848,172,078,653,702,472,073,392,385,
405,480,007,661,316,078,902,507,966,752,108,413,724,753,417,793,903,864,607,
517,412,436,270,366,544,925,498,967,833,706,657,699,561,391,030,409,859,833,
412,493,802,513,487,057,594,361,741,255,616,021,815,015,597,643,773,246,568,
734,345,232,131,390,300,328,852,003,016,314,101,053,807,479,128,942,468,260,
498,045,731,401,556,492,396,098,851,709,650,318,027,665,253,352,778,123,442,
328,179,973,734,062,583,503,019,769,588,722,849,739,478,527,279,084,881,425,
350,627,253,548,849,877,016,847,513,136,836,723,486,411,853,460,508,799,118,
513,331,477,103,562,007,838,333,233,957,606,543,742,033,995,116,517,388,023,
439,003,593,245,699,008,485,886,695,887,557,417,673,698,994,788,830,417,228,
061,150,717,401,302,110,130,287,714,805,270,427,702,181,457,178,410,351,580,
476,237,469,891,466,395,663,667,510,641,794,515,296,237,930,943,359,715,565,
708,283,171,239,292,799,909,525,557,803,959,612,150,734,064,365,297,864,454,
563,785,464,331,804,721,247,558,609,154,570,998,313,502,186,885,146,357,139,
842,232,489,852,575,968,624,749,805,998,600,888,551,455,082,609,305,159,667,
964,411,478,692,630,330,674,855,604,994,606,127,535,451,388,035,253,505,558,
768,465,892,010,629,362,167,291,386,915,956,771,321,949,289,000,265,585,224,
507,811,610,672,707,332,214,439,847,495,837,518,122,333,575,420,312,482,317,
296,521,035,061,832,315,245,033,732,192,140,284,492,681,088,081,913,929,923,
963,893,009,946,165,213,462,985,620,419,949,914,056,324,023,503,719,149,375,
728,667,302,805,051,375,012,492,393,787,806,020,267,169,597,635,838,805,653,
182,338,588,573,594,594,884,704,580,710,639,962,649,478,912,732,465,945,529,
389,489,145,785,672,521,001,354,334,880,040,939,322,850,762,040,647,806,251,
128,487,186,323,306,470,330,785,230,344,269,651,765,888,157,114,254,285,191,
534,078,695,393,938,525,337,385,669,455,585,428,184,105,635,413,826,559,884,
262,393,549,655,445,898,649,718,880,531,927,546,129,501,315,164,897,237,546,
969,194,258,414,957,109,773,728,214,188,136,630,041,502,366,045,450,348,398,
703,677,160,695,725,989,270,945,771,013,753,164,305,350,521,547,687,694,289,
309,572,331,734,720,102,963,687,739,090,900,499,446,767,357,127,297,913,333,
626,557,060,138,423,610,838,909,380,273,861,343,518,175,781,929,472,143,174,
082,920,794,971,591,017,234,197,797,443,117,662,538,363,690,133,749,175,238,
464,205,118,828,825,204,593,158,031,049,397,645,057,611,354,474,072,790,606,
275,057,162,460,802,825,165,312,398,477,906,763,035,765,907,268,020,138,306,
973,015,944,941,719,324,498,364,947,537,955,385,220,598,687,140,333,034,863,
635,069,847,866,272,450,911,100,115,582,363,705,617,875,514,296,906,695,804,
222,498,416,671,818,730,812,292,962,751,081,837,808,556,068,645,845,632,246,
230,673,999,029,781,473,586,537,675,621,621,630,815,248,265,201,382,124,893,
238,027,314,150,041,411,097,424,695,203,553,757,547,956,256,328,787,188,425,
261,041,958,646,452,649,419,163,547,966,512,879,491,263,367,073,538,809,964,
016,251,685,024,892,530,695,331,143,326,463,246,046,179,794,522,399,753,593,
632,867,187,123,065,604,985,342,014,379,298,868,648,033,312,672,683,923,608,
144,721,573,049,345,622,125,749,061,364,013,905,476,267,663,094,099,610,543,
727,682,519,176,508,383,374,839,999,431,204,498,085,178,384,182,531,071,708,
539,713,457,537,174,750,491,973,493,380,172,124,622,145,478,577,554,952,742,
921,962,339,994,647,394,568,924,427,665,777,470,548,310,570,751,888,384,834,
740,703,764,005,288,950,214,589,715,407,170,299,107,982,510,478,348,166,467,
036,663,786,771,562,779,889,687,838,421,671,647,464,188,751,112,538,156,509,
055,630,580,263,028,358,326,929,722,922,054,611,630,848,747,196,570,082,016,
575,878,992,921,417,904,555,136,179,798,528,859,484,355,286,010,539,935,532,
507,304,734,831,360,679,145,228,332,041,602,312,795,133,283,963,801,569,889,
199,020,084,706,665,484,696,754,781,563,740,808,141,667,731,112,619,476,516,
535,650,212,923,647,074,499,149,402,188,533,702,441,275,178,732,405,299,868,
251,333,830,693,872,605,045,549,599,104,132,123,126,152,640,318,424,069,578,
944,796,584,671,014,049,922,170,640,188,231,008,264,063,889,080,958,350,371,
846,998,419,294,527,669,158,083,870,562,169,158,450,276,988,598,727,769,267,
102,980,602,487,387,775,555,057,890,905,240,872,609,226,131,041,443,782,434,
887,305,480,917,247,878,381,072,946,465,220,008,331,918,998,185,558,609,080,
020,540,536,070,004,882,410,288,546,274,094,778,248,697,654,098,863,871,362,
960,268,986,141,786,950,792,223,378,249,571,912,808,828,438,014,946,262,415,
911,265,130,695,926,822,404,766,677,245,847,951,978,669,809,146,427,462,135,
000,913,812,084,629,615,339,306,104,989,960,839,000,537,925,136,954,808,919,
463,738,754,948,744,195,130,957,918,058,103,249,604,280,629,397,343,812,113,
698,531,092,438,055,209,417,454,987,832,440,070,906,672,748,327,839,197,141,
784,319,372,322,302,703,906,260,556,751,609,827,287,879,610,949,553,223,241,
547,785,634,866,081,927,180,838,341,552,735,809,041,085,087,225,165,963,848,
270,795,730,577,979,659,560,538,262,494,750,728,721,993,411,629,471,769,306,
549,975,201,314,504,036,133,990,728,770,766,389,896,874,072,891,831,479,066,
883,994,151,647,348,295,360,272,375,810,958,165,900,085,428,832,339,772,735,
147,397,513,942,403,210,994,059,185,947,859,841,489,775,422,273,439,214,555,
743,513,814,624,402,943,503,438,561,689,783,275,502,356,190,566,128,741,894,
424,108,162,683,936,585,875,477,727,357,375,522,998,358,059,471,586,771,839,
391,744,404,662,595,123,373,135,597,400,524,389,625,360,188,701,823,603,011,
084,373,637,036,103,409,570,713,239,030,669,338,677,902,794,175,366,817,887,
633,663,884,084,172,346,277,578,063,632,557,405,923,052,368,812,681,024,927,
761,911,340,545,130,993,550,825,965,921,929,885,102,455,956,828,369,142,520,
649,073,765,197,318,084,094,956,782,726,619,525,270,885,957,805,345,698,080,
419,436,070,001,445,007,518,064,495,174,757,005,978,268,207,958,288,324,842,
633,146,751,949,734,533,902,689,015,636,660,542,414,915,825,569,019,019,491,
561,292,826,801,038,602,414,116,214,768,065,514,760,240,091,676,898,069,587,
416,676,853,123,418,371,866,917,002,391,776,648,453,419,958,291,768,118,201,
544,429,272,975,704,092,972,473,014,236,673,473,808,884,491,318,499,034,293,
131,141,656,284,863,235,003,335,228,795,445,134,828,212,352,868,231,747,413,
646,833,550,151,684,502,335,423,982,381,222,576,777,765,753,740,108,093,335,
110,771,099,386,030,724,525,496,076,938,882,858,046,241,412,187,768,401,171,
208,277,806,446,650,973,404,183,501,432,884,290,674,081,579,234,573,289,000,
403,112,697,622,255,936,903,377,398,694,637,718,069,726,839,297,040,312,031,
153,159,489,785,815,061,027,113,604,705,597,358,597,000,446,671,993,971,986,
848,431,954,730,121,924,705,117,100,219,180,834,420,093,830,562,598,376,778,
250,159,995,788,848,188,364,708,093,307,688,502,613,910,093,379,352,052,673,
939,639,453,784,773,085,392,265,093,699,375,995,112,852,170,332,218,415,825,
186,367,339,682,697,074,923,091,424,426,813,216,047,114,313,622,219,351,421,
929,064,881,711,373,158,557,970,225,674,091,822,448,029,422,887,168,891,360,
977,026,645,828,769,010,656,177,429,426,469,804,884,235,368,622,587,122,470,
447,308,127,278,836,083,356,544,003,390,197,284,799,004,318,404,504,257,461,
375,563,880,883,158,960,953,138,199,751,918,844,811,984,541,730,707,519,003,
223,791,724,569,293,375,312,466,506,962,538,550,692,589,761,050,319,825,230,
709,789,243,957,685,556,879,457,244,787,991,157,745,608,628,757,251,296,941,
492,383,673,168,343,125,770,651,949,405,553,209,731,471,130,584,373,529,295,
083,214,282,299,421,173,318,114,490,891,124,888,290,534,008,926,280,272,962,
784,551,617,586,238,959,148,937,846,523,260,064,941,919,502,695,439,824,566,
865,913,338,547,225,904,653,815,652,935,599,014,637,168,119,481,123,615,712,
737,628,378,653,156,537,061,377,366,923,139,737,179,792,356,971,392,356,772,
907,259,970,750,566,923,239,570,643,243,830,806,313,146,867,470,619,179,074,
774,738,616,738,864,149,515,320,453,956,299,101,639,283,101,748,449,030,006,
325,717,901,278,303,134,175,378,367,941,647,637,332,150,437,625,147,347,702,
242,151,003,532,651,603,496,423,394,066,287,459,144,973,852,966,771,230,880,
967,728,816,471,829,845,779,373,533,454,535,119,983,024,825,207,966,464,470,
445,949,417,106,438,132,425,100,955,994,870,365,309,984,104,588,804,170,808,
896,918,534,957,374,938,665,668,797,940,444,182,942,311,012,328,989,877,444,
764,276,914,374,094,537,484,623,881,955,459,617,520,350,397,265,128,191,219,
313,616,269,251,367,541,122,675,483,367,240,863,381,405,356,692,293,022,301,
500,878,897,998,958,766,554,500,466,664,324,361,071,132,912,913,779,503,742,
433,196,396,534,400,132,543,245,414,602,284,245,760,808,384,072,491,002,810,
935,682,745,568,556,392,124,788,061,962,886,383,643,974,677,423,370,016,602,
757,830,251,749,735,223,098,110,086,550,036,861,700,872,230,752,993,513,463,
971,191,192,327,850,016,787,569,727,931,898,032,584,313,878,661,115,016,961,
003,247,705,279,528,304,119,081,213,675,932,380,602,648,245,423,593,103,400,
176,153,887,682,150,090,327,196,880,201,335,463,773,541,271,570,420,963,542,
655,108,941,425,454,177,448,810,823,302,496,957,176,445,502,401,829,738,395,
225,712,424,878,884,237,163,853,880,348,385,363,440,800,214,842,452,946,496,
091,656,186,619,324,687,664,495,698,464,320,343,460,202,132,328,397,031,029,
737,171,979,346,717,935,776,065,403,295,621,116,825,146,688,993,283,231,010,
021,452,089,659,900,969,902,914,329,632,549,445,209,079,180,595,754,831,959,
821,450,018,039,349,909,780,324,543,689,158,337,428,100,080,612,649,468,822,
904,020,094,395,956,969,335,006,596,897,389,578,069,466,295,782,505,496,283,
747,034,276,011,042,571,888,601,848,075,494,539,604,573,083,333,504,532,892,
142,548,078,193,076,068,933,088,130,336,377,847,246,844,782,748,561,683,683,
268,250,016,112,858,296,020,278,972,936,199,470,798,105,352,525,751,519,621,
506,205,268,948,853,666,605,409,716,667,722,825,163,981,828,503,201,886,052,
309,664,104,726,001,705,381,057,064,303,596,897,719,059,735,228,375,049,008,
863,185,653,337,995,590,039,961,672,279,141,826,737,984,687,614,310,107,260,
701,644,932,791,262,257,641,337,633,607,598,418,093,283,789,363,103,739,997,
543,532,734,077,813,040,321,224,270,910,897,355,040,959,491,773,731,137,587,
272,613,198,950,583,838,784,926,287,923,165,310,196,233,192,080,361,162,031,
089,673,532,250,994,043,764,069,539,439,632,483,509,657,355,961,894,952,516,
838,700,734,584,109,728,238,418,447,028,470,128,008,062,581,123,531,652,036,
636,380,873,559,270,230,112,932,900,790,903,071,866,222,454,334,365,519,144,
012,885,361,248,479,035,635,807,996,393,967,789,033,232,028,550,235,491,337,
720,690,026,187,762,142,563,023,731,979,139,302,221,880,415,348,664,818,120,
963,009,043,009,000,038,282,015,801,770,337,912,000,420,842,010,542,373,681,
977,821,513,751,213,104,933,000,997,775,201,139,761,997,003,198,224,517,467,
772,073,285,380,521,236,301,500,222,824,026,167,746,612,126,107,730,407,689,
459,657,959,142,472,292,392,716,578,408,360,806,413,538,276,159,163,416,973,
931,854,903,652,769,974,141,884,601,909,329,365,458,982,359,985,702,983,635,
687,395,130,633,936,360,502,822,439,419,640,230,420,505,112,506,276,454,236,
554,841,691,148,659,538,510,250,333,195,595,156,463,881,665,253,504,086,079,
899,220,206,210,060,718,056,728,246,016,099,103,285,680,920,909,836,766,217,
923,690,394,226,613,353,444,444,612,832,931,433,859,187,638,749,157,494,929,
512,954,134,828,095,586,052,667,565,021,714,855,465,892,022,686,463,130,397,
014,178,474,759,428,138,618,021,250,774,573,581,159,290,693,477,669,045,094,
288,700,646,854,721,258,445,160,357,697,552,295,243,984,370,989,592,793,253,
470,771,292,379,884,190,044,849,687,618,088,789,419,474,209,945,234,120,245,
907,399,103,169,910,927,988,089,823,499,095,326,354,824,003,612,671,117,572,
433,983,597,182,015,302,821,628,836,945,838,827,364,572,676,536,024,673,738,
075,526,346,472,567,150,429,630,748,444,290,553,472,840,223,164,680,983,448,
538,811,037,258,111,188,107,157,665,957,868,055,437,174,315,613,795,754,413,
381,765,559,496,702,307,478,722,158,369,762,106,741,368,068,359,756,151,038,
564,725,356,508,902,038,662,435,466,308,925,155,755,816,168,183,979,173,970,
320,587,619,063,498,901,496,076,659,252,330,281,901,778,193,889,788,005,115,
333,971,055,614,907,414,356,832,733,255,285,523,396,260,339,860,461,639,615,
841,406,194,911,046,376,038,565,102,542,283,915,204,372,866,324,714,492,792,
172,480,353,309,933,028,223,101,955,807,448,395,960,962,466,998,762,786,248,
581,776,788,913,252,421,123,322,145,640,046,458,077,238,108,250,236,487,734,
651,860,159,762,192,284,112,384,873,653,927,201,625,048,751,503,924,358,720,
980,042,403,699,520,007,782,081,135,689,371,196,369,346,711,466,129,230,340,
833,847,835,676,160,906,646,188,055,109,021,916,851,769,717,751,506,723,147,
725,749,019,193,914,767,503,941,015,927,036,333,848,875,897,534,640,690,404,
158,090,539,031,228,250,767,843,915,933,507,207,918,793,800,932,396,710,865,
266,532,572,742,204,402,397,299,472,155,801,055,755,563,596,226,582,133,233,
599,311,776,555,759,638,660,538,424,588,555,365,911,955,856,893,334,792,517,
526,869,267,147,148,027,178,178,862,115,659,760,557,367,987,614,109,723,210,
308,569,324,127,593,252,414,489,730,838,221,637,414,662,524,130,400,146,127,
896,195,904,824,757,545,533,398,796,474,520,257,989,233,201,465,094,600,533,
410,424,644,823,102,635,249,696,113,540,416,566,450,521,289,229,289,180,201,
621,902,936,845,210,859,499,227,335,053,903,720,195,193,540,225,746,526,897,
279,661,132,223,964,584,389,213,050,389,624,241,945,777,610,447,802,763,443,
492,650,239,638,454,599,689,690,276,832,674,721,612,714,033,940,065,084,821,
101,683,569,741,515,092,164,105,362,620,093,203,448,595,933,253,031,774,591,
293,499,064,474,773,867,566,478,944,468,725,711,847,477,593,623,369,950,856,
670,238,322,687,225,480,264,499,431,348,621,725,127,117,570,222,924,363,118,
070,298,805,469,326,375,799,513,092,686,712,162,685,940,320,614,434,496,061,
487,804,049,341,704,746,758,543,969,689,161,140,652,287,370,494,342,981,390,
925,163,753,669,428,635,880,217,308,203,685,098,187,324,528,246,098,123,228,
481,214,170,086,927,391,791,760,186,495,554,132,793,171,867,235,519,080,989,
592,934,920,942,315,665,485,002,977,612,139,365,451,132,600,787,610,956,970,
239,521,582,810,496,123,434,642,931,062,144,135,149,554,415,614,956,239,186,
956,900,999,203,569,278,707,055,720,953,980,531,858,638,489,283,303,820,807,
341,044,447,536,303,678,006,456,853,024,480,781,999,265,096,408,547,744,998,
053,545,306,514,175,672,057,210,132,374,748,780,412,133,782,807,760,497,916,
499,085,237,086,121,059,091,166,202,972,402,806,738,981,305,856,430,167,600,
833,159,741,073,912,781,805,652,464,811,430,267,355,160,831,952,812,235,499,
861,009,102,536,054,799,180,423,851,981,053,632,202,032,288,768,223,268,642,
370,271,541,066,429,620,776,594,404,231,675,829,746,340,803,381,408,303,616,
940,954,268,994,305,085,679,988,726,831,629,586,376,101,031,478,303,981,106,
331,747,377,443,564,392,424,895,101,569,840,339,416,045,769,605,465,365,262,
738,314,943,855,973,386,949,770,169,318,467,772,613,520,832,218,027,287,231,
266,104,803,278,373,362,873,927,986,619,462,865,306,446,381,875,308,902,124,
062,546,626,785,028,962,411,957,451,973,143,445,511,687,066,485,039,782,439,
479,580,746,897,200,646,399,196,152,495,651,162,365,804,789,141,042,883,652,
872,214,164,954,138,842,157,123,477,342,277,056,697,306,286,428,072,349,595,
556,239,362,641,673,141,926,054,454,721,208,531,395,560,702,047,504,545,414,
940,136,707,555,997,832,413,498,932,509,282,532,908,008,589,499,713,665,735,
433,653,256,341,651,566,654,388,374,784,172,305,528,438,709,316,384,669,254,
021,424,903,074,808,338,534,569,100,824,011,973,658,223,942,832,498,221,871,
793,288,986,454,450,475,216,524,210,714,229,743,000,868,543,414,901,672,969,
690,959,094,210,776,125,670,658,253,566,289,242,413,168,629,223,975,891,260,
025,844,155,149,618,971,146,876,664,507,301,135,082,472,066,301,635,094,790,
999,105,338,504,281,986,716,627,453,656,266,802,730,702,123,946,827,649,536,
518,317,355,321,960,358,450,344,434,241,349,782,213,832,721,513,266,346,099,
609,267,029,130,317,287,328,615,848,293,716,667,144,040,504,856,992,815,165,
944,579,251,588,634,615,202,936,999,944,392,613,287,071,603,180,609,073,815,
741,241,684,781,633,634,569,939,674,243,366,313,677,334,505,147,955,627,271,
690,154,358,032,892,968,156,107,410,387,095,425,048,190,424,317,584,743,247,
301,856,323,838,917,078,537,348,530,318,527,622,680,445,609,319,504,801,319,
578,557,063,575,524,114,376,457,386,955,112,905,586,614,573,415,965,666,043,
065,936,548,990,342,749,728,265,167,175,944,382,465,299,657,680,130,390,989,
128,695,584,677,682,494,994,311,667,110,548,639,028,466,225,395,931,902,964,
669,948,827,675,869,005,911,945,449,175,427,022,359,557,777,737,160,039,008,
988,930,515,959,500,060,205,568,131,336,144,820,209,715,827,112,846,829,423,
957,157,494,385,883,239,184,611,971,798,762,306,775,233,952,935,933,253,903,
266,949,605,361,072,242,406,316,812,573,364,478,367,801,895,760,926,468,192,
463,453,025,255,140,098,039,910,651,745,122,889,270,645,720,722,785,757,617,
442,694,414,055,294,662,534,249,428,562,889,235,092,392,953,964,700,926,876,
531,744,309,361,527,683,419,159,315,970,375,391,542,505,888,746,295,874,868,
642,651,208,144,845,035,822,885,766,167,827,155,044,222,029,678,411,936,998,
428,152,677,827,295,231,088,276,729,590,786,902,525,625,334,648,886,128,153,
297,877,922,117,972,457,297,703,420,247,100,031,227,205,122,351,531,255,275,
558,113,527,115,637,118,885,079,440,056,342,571,971,700,012,371,584,494,207,
989,035,203,225,410,355,951,356,217,199,163,429,695,079,662,827,944,728,348,
720,351,399,815,087,414,434,432,910,824,575,128,778,315,592,502,173,368,164,
779,257,406,410,374,236,748,635,675,108,876,359,648,351,883,772,416,871,070,
051,213,461,127,243,768,854,306,637,019,883,990,545,831,999,229,103,805,304,
830,987,383,910,949,197,778,109,152,631,505,896,283,361,265,837,367,800,267,
154,048,470,588,790,167,957,049,208,146,776,013,985,744,771,087,398,659,526,
838,229,818,699,142,945,408,135,513,828,899,488,809,005,059,351,254,433,716,
310,305,394,098,064,045,101,111,801,416,396,471,196,129,653,740,400,041,444,
204,587,815,692,256,733,108,045,590,140,936,328,644,073,193,756,407,820,443,
012,762,300,613,727,232,022,656,440,388,480,093,293,447,768,742,917,418,350,
585,341,208,879,298,313,332,283,472,103,023,796,000,186,587,236,972,724,948,
796,948,293,182,111,451,663,542,189,847,337,386,386,163,747,120,430,060,533,
062,575,512,862,920,846,999,885,661,838,651,692,404,736,089,054,798,948,180,
523,385,838,069,575,840,060,016,281,599,124,340,700,971,174,716,784,424,856,
801,193,560,341,226,779,407,901,859,476,108,958,232,434,585,451,834,349,004,
991,808,988,390,466,863,620,337,068,623,703,102,209,179,278,429,703,811,658,
085,208,415,220,954,131,145,117,568,755,599,222,523,133,166,388,297,776,757,
030,650,393,669,461,734,645,503,859,547,188,259,716,052,385,269,852,516,084,
302,940,749,524,649,192,446,266,351,411,248,716,558,652,845,360,518,215,751,
440,867,020,798,914,723,941,023,538,297,469,391,818,507,628,775,332,919,484,
231,535,854,558,778,849,987,041,019,724,580,425,879,355,563,093,012,841,943,
648,757,625,399,382,490,819,860,864,075,717,535,252,186,480,204,892,718,884,
287,277,107,859,531,702,399,385,409,205,859,138,418,286,448,242,947,394,922,
342,715,800,168,993,767,064,979,378,022,783,086,956,131,468,361,756,300,336,
585,995,389,158,292,164,696,570,303,919,202,349,468,957,261,477,825,178,021,
325,531,556,963,063,244,233,265,919,411,586,778,656,168,497,787,800,700,002,
491,143,749,347,054,531,177,078,213,165,004,249,993,214,392,844,664,516,920,
125,755,327,024,228,960,391,805,273,728,113,623,333,338,701,231,871,397,196,
176,805,427,979,781,919,140,826,642,743,383,902,520,974,656,706,616,630,153,
287,147,405,339,506,574,717,992,301,995,959,592,601,005,985,330,176,449,429,
318,061,048,143,173,957,175,640,204,109,023,771,975,618,299,374,361,713,169,
131,056,120,356,165,765,717,050,094,288,498,253,229,223,654,045,044,753,187,
179,809,680,940,109,066,729,053,993,944,447,909,467,767,944,170,976,406,854,
063,473,743,651,343,495,600,717,098,955,933,612,858,552,030,038,919,603,977,
668,314,000,538,581,840,244,277,315,421,359,572,535,277,463,528,159,543,765,
612,898,004,801,647,423,496,089,676,217,574,227,194,294,334,179,444,346,175,
660,847,205,496,233,620,129,937,117,216,668,672,297,761,043,958,139,013,978,
045,029,423,443,214,839,538,012,710,164,256,273,453,047,653,387,429,274,757,
826,483,916,967,253,972,267,216,242,548,544,741,603,511,113,011,573,958,719,
427,426,238,238,480,894,379,921,724,833,958,441,204,640,745,594,470,415,506,
958,994,654,397,253,958,276,331,577,484,676,754,304,414,220,884,964,363,341,
046,427,397,763,549,760,094,856,335,271,366,427,322,060,041,868,838,870,439,
164,991,770,440,128,214,177,700,180,771,026,559,750,051,762,301,437,769,884,
467,399,208,281,342,813,909,465,647,678,473,989,620,573,970,490,189,929,928,
281,547,339,441,462,295,708,480,674,852,964,618,283,228,911,582,711,157,761,
234,277,876,366,215,233,030,413,726,274,688,767,782,758,451,439,071,305,675,
451,700,870,203,577,470,697,777,645,636,292,978,590,921,800,983,508,109,416,
352,534,927,972,711,201,563,015,759,216,123,720,413,353,371,133,876,522,989,
831,584,671,564,454,166,360,531,683,417,088,804,476,424,545,766,334,416,501,
796,288,886,600,250,000,321,720,040,903,131,407,246,272,454,058,283,508,272,
786,943,891,246,635,382,871,588,741,314,330,064,454,278,763,197,575,183,088,
175,920,626,019,902,698,096,766,290,998,899,157,811,123,992,216,795,382,500,
993,627,062,236,186,858,102,877,272,692,340,316,536,252,475,237,011,124,401,
240,501,221,749,121,095,696,595,678,858,247,104,432,395,810,066,404,197,027,
973,131,866,333,504,400,340,777,659,517,212,659,839,728,356,281,530,642,533,
429,752,833,790,944,131,451,796,099,754,301,800,903,914,340,857,452,743,918,
285,533,403,215,750,967,724,280,268,411,921,336,702,659,648,118,759,652,717,
126,890,834,978,366,431,862,162,287,080,523,788,480,651,485,500,101,220,866,
297,333,706,970,193,470,167,516,423,478,077,294,691,370,358,104,029,535,275,
157,852,833,353,858,859,258,025,069,080,051,255,377,680,000,021,261,738,991,
634,761,087,552,861,578,509,303,052,705,840,982,960,910,517,137,006,481,280,
213,169,163,101,025,217,485,349,214,439,278,381,525,602,495,845,107,206,155,
296,823,450,632,574,821,259,842,057,660,857,571,241,791,056,289,497,777,570,
951,639,226,630,453,105,701,367,586,130,485,009,187,392,849,233,958,429,286,
988,878,280,174,161,769,557,130,824,795,366,190,374,901,875,171,570,705,018,
506,289,142,091,304,117,829,697,645,859,805,953,903,528,167,704,423,588,158,
318,011,122,540,542,965,798,353,127,314,430,991,256,154,305,742,914,690,987,
582,942,669,827,276,362,442,370,376,573,752,975,252,859,734,260,618,617,280,
982,501,773,225,885,572,940,917,510,177,021,389,448,875,051,096,525,166,974,
982,935,899,177,638,659,456,028,685,540,143,539,534,856,246,852,142,415,538,
462,770,459,791,854,504,764,144,931,907,165,453,856,433,890,921,702,783,951,
245,935,966,911,619,035,269,881,108,065,025,013,950,415,290,781,777,515,931,
048,278,562,813,249,374,630,235,761,561,745,987,139,293,994,718,116,349,409,
302,677,624,427,494,385,905,411,105,339,684,486,791,124,790,146,143,358,509,
079,759,229,337,183,705,605,647,606,208,587,322,812,004,770,574,349,604,078,
762,067,505,974,154,804,864,876,957,337,975,343,120,401,470,432,703,477,200,
713,910,469,385,576,186,804,150,479,367,895,895,381,620,393,117,403,791,468,
021,893,243,569,085,078,077,414,970,784,759,653,510,477,289,995,503,048,536,
501,505,883,876,141,951,239,387,739,708,882,573,635,613,582,164,545,988,061,
938,739,739,138,292,709,782,037,161,807,649,035,353,628,541,638,617,118,592,
512,201,268,536,663,855,093,030,556,615,142,190,741,637,450,059,639,984,386,
289,191,921,033,458,430,607,458,006,179,608,884,253,603,627,890,322,822,270,
468,165,246,284,350,120,925,841,132,526,516,233,521,388,678,269,913,306,773,
371,532,740,611,434,730,957,816,647,031,489,989,009,383,339,389,359,487,564,
019,910,658,344,454,630,532,204,172,818,149,154,320,246,931,784,034,773,089,
518,392,268,961,379,872,285,665,852,788,869,361,812,329,426,431,177,455,832,
553,300,399,130,373,233,130,847,377,560,650,612,109,713,100,817,973,214,386,
514,557,365,279,801,863,305,131,020,344,738,476,142,216,575,113,121,990,398,
447,295,832,297,335,062,501,632,178,803,797,378,548,124,321,063,397,503,257,
905,394,398,917,167,654,631,614,537,259,654,549,775,742,948,215,182,506,807,
851,204,003,094,972,128,403,812,492,945,895,213,376,246,088,327,932,679,851,
375,150,779,667,477,839,762,320,975,220,928,514,858,236,586,155,021,801,937,
915,064,943,928,159,444,591,901,465,401,195,344,357,550,098,389,398,909,932,
399,769,139,148,166,997,266,568,249,720,119,303,419,027,667,357,843,663,112,
924,479,702,278,811,873,274,995,255,886,954,402,721,808,962,623,288,928,562,
537,087,796,558,005,100,115,320,222,428,523,155,733,114,845,741,173,908,884,
879,464,401,844,158,979,334,138,906,183,232,851,360,417,604,386,111,542,450,
662,061,347,532,713,683,275,253,190,242,171,689,758,162,656,183,809,886,518,
735,199,963,334,707,228,032,999,474,826,329,054,476,881,876,239,160,815,259,
579,895,060,017,654,566,254,333,021,415,717,843,518,504,924,531,237,127,305,
795,915,781,460,977,851,248,530,438,669,067,736,984,320,804,550,227,739,443,
828,902,832,702,549,253,266,355,159,068,389,911,349,618,531,596,035,490,362,
996,207,049,954,916,105,853,213,740,395,703,456,880,309,003,748,151,189,399,
415,457,036,724,873,305,821,791,785,382,235,813,363,439,642,122,363,570,618,
061,713,253,616,976,502,475,813,019,859,406,209,762,313,890,380,988,849,186,
254,137,717,187,989,031,201,145,064,525,173,819,753,141,681,991,018,553,490,
543,763,673,583,957,971,349,818,897,656,761,971,289,113,034,991,048,167,680,
712,165,782,273,574,462,851,969,197,054,895,353,725,694,972,975,982,229,031,
263,905,263,804,681,191,098,470,641,343,821,527,589,196,927,765,628,543,568,
422,512,155,724,813,677,105,155,245,076,762,711,032,574,685,980,243,928,614,
480,495,360,888,540,019,519,923,621,582,437,263,223,116,605,156,937,923,305,
457,450,569,752,284,146,024,168,993,482,966,539,042,487,665,997,359,187,774,
733,657,556,263,653,975,190,621,391,278,322,192,197,219,145,349,285,546,151,
352,496,717,727,289,992,294,856,004,173,904,156,234,354,625,217,847,911,832,
862,887,111,226,830,383,055,527,594,395,889,126,817,922,159,364,874,995,722,
696,800,329,365,761,261,775,607,829,644,925,652,120,685,850,213,824,525,297,
932,856,381,913,590,618,589,656,477,882,666,748,232,214,814,171,523,943,489,
541,026,712,686,363,082,014,195,441,130,973,499,177,663,147,082,709,080,856,
245,022,987,960,946,091,904,327,437,704,105,341,137,635,525,727,598,048,789,
590,975,490,321,198,323,269,184,382,188,035,703,905,971,647,399,154,134,895,
904,878,300,575,124,747,312,976,107,929,115,237,033,537,157,794,403,549,431,
042,651,922,859,224,728,030,267,939,522,740,646,569,142,636,704,500,637,756,
965,487,290,489,572,168,215,338,017,361,158,778,783,042,681,423,485,935,781,
630,930,482,365,503,036,642,062,882,720,352,790,152,341,914,092,175,063,905,
456,745,518,475,613,993,703,373,575,610,828,546,976,202,086,683,032,107,333,
303,948,640,041,265,053,174,649,562,652,618,673,583,946,493,739,237,008,491,
186,809,378,131,517,995,880,512,067,447,987,597,001,132,115,397,335,925,225,
500,055,701,492,736,206,415,860,229,362,795,464,022,425,656,706,142,076,069,
502,708,507,485,359,048,745,311,037,988,323,363,998,873,708,301,611,230,436,
801,870,963,863,239,082,173,222,943,366,527,166,242,997,590,549,893,421,315,
743,613,148,166,098,707,108,230,625,240,893,475,061,084,069,419,218,247,221,
372,524,386,129,230,618,907,421,575,377,297,064,357,847,745,059,276,908,007,
527,094,832,472,476,673,838,374,639,104,547,046,122,098,757,121,071,918,961,
883,397,769,995,333,016,873,638,001,261,611,421,867,298,465,017,212,926,438,
144,284,115,540,413,412,564,096,412,844,058,547,042,031,163,757,680,923,895,
892,556,195,004,685,785,150,432,000,103,567,988,205,482,287,436,291,296,602,
204,554,066,346,855,941,272,719,706,659,581,548,360,972,231,570,079,824,474,
399,906,729,603,609,063,000,674,836,964,336,471,394,005,113,748,342,521,818,
674,677,071,804,750,842,586,752,377,616,978,424,485,862,015,814,759,140,781,
504,317,549,447,121,460,410,570,560,768,458,479,884,532,062,962,197,367,401,
958,997,536,226,020,353,287,867,209,369,181,944,865,413,045,616,414,177,949,
184,820,704,939,179,993,164,330,427,766,735,625,672,240,192,474,685,307,178,
496,682,391,951,445,289,677,901,149,028,993,099,616,764,898,422,395,437,560,
943,055,830,979,366,387,414,613,428,665,735,442,570,926,195,067,313,319,115,
022,709,992,127,262,266,745,283,179,808,305,359,444,905,136,190,260,673,390,
731,777,082,177,857,168,389,405,928,649,273,317,596,956,070,052,425,741,685,
465,637,801,369,825,635,225,545,097,544,967,543,510,694,695,151,352,263,946,
038,635,832,235,853,076,391,231,784,145,919,373,523,025,785,864,185,604,784,
543,126,651,831,014,432,186,723,977,229,750,538,927,312,835,601,724,467,256,
173,202,142,543,952,348,633,333,190,415,965,761,594,396,498,899,109,677,314,
241,568,338,933,387,644,331,155,973,565,098,661,612,131,429,064,616,112,743,
087,204,133,205,622,887,629,332,778,741,184,657,883,313,317,507,742,081,003,
347,935,586,559,126,851,884,773,767,328,513,390,550,872,218,204,549,016,637,
685,750,267,029,339,480,741,239,408,097,465,839,139,385,587,150,390,721,313,
682,443,909,208,481,155,212,247,656,519,164,845,680,517,957,412,531,337,495,
863,684,776,441,833,622,834,145,649,778,624,399,698,844,158,722,365,889,182,
912,351,161,234,986,472,178,990,721,874,797,422,620,282,337,412,678,968,342,
197,380,403,294,929,192,699,753,310,607,472,946,997,660,602,201,482,273,582,
870,480,758,093,646,204,345,272,629,105,060,800,809,716,896,558,625,644,429,
605,057,338,297,250,633,856,135,073,549,462,337,982,821,591,414,131,863,151,
903,263,226,756,974,956,204,953,007,753,179,233,400,618,161,306,669,239,998,
561,184,828,551,837,222,769,745,940,535,073,791,477,292,098,998,320,411,639,
584,780,847,022,752,334,095,543,453,907,195,846,743,356,239,740,108,618,826,
408,448,152,361,025,083,276,703,714,940,109,623,466,278,809,697,253,320,314,
016,319,220,610,123,250,819,555,652,827,244,069,248,853,532,823,537,276,171,
233,229,067,525,420,833,695,077,576,064,407,462,203,697,430,987,452,660,781,
452,307,359,511,636,526,282,676,445,523,171,102,772,955,143,789,853,056,243,
469,595,958,176,464,652,808,605,256,690,109,028,877,568,737,517,803,535,744,
585,147,253,592,952,545,169,861,741,342,569,318,510,643,427,859,424,221,161,
140,068,393,632,735,228,622,419,206,921,741,459,580,230,121,679,345,255,308,
471,464,874,409,838,755,533,029,959,523,131,070,026,341,669,959,549,802,765,
389,465,222,968,134,901,446,591,372,070,785,469,016,363,713,423,656,144,447,
800,714,461,825,456,606,744,042,164,524,332,475,719,017,933,458,674,706,127,
145,341,971,201,753,019,729,615,853,627,964,648,265,995,190,838,703,852,446,
387,318,164,389,802,281,044,467,541,773,935,022,067,451,258,744,824,407,797,
050,098,648,139,003,387,660,373,680,995,747,486,536,884,922,269,762,284,498,
910,640,667,293,972,941,968,643,259,151,726,665,946,777,814,016,173,488,312,
823,343,387,133,538,979,177,730,973,962,083,284,477,668,259,922,139,478,650,
935,872,649,979,558,317,165,665,469,316,831,749,301,453,990,772,963,955,442,
392,619,034,445,662,376,549,530,520,042,230,586,451,968,318,530,765,726,478,
417,118,631,511,409,856,194,511,371,717,513,513,910,892,514,320,524,559,961,
086,750,509,992,224,786,704,533,132,881,156,532,849,561,220,546,687,234,702,
053,067,321,098,434,971,746,363,984,166,720,793,743,326,336,087,408,622,724,
282,292,393,786,297,681,429,129,277,395,012,427,400,740,207,583,933,502,524,
843,522,845,551,012,636,344,754,854,608,437,989,135,563,018,391,449,340,858,
615,309,039,086,423,440,471,652,937,784,057,270,190,261,032,005,493,751,257,
668,361,473,792,745,612,202,135,369,768,369,763,867,636,563,646,008,474,903,
085,092,924,955,654,495,662,372,052,895,954,038,195,147,631,542,836,059,722,
340,577,850,513,266,732,019,936,590,667,239,876,649,356,538,279,119,451,777,
235,487,633,809,538,881,843,995,662,637,378,737,985,478,523,736,098,024,070,
555,093,869,350,026,316,152,179,559,826,411,071,286,942,932,609,728,228,075,
839,361,865,039,473,952,622,984,370,179,267,683,175,664,684,148,273,835,415,
831,656,841,925,739,217,279,111,374,786,555,244,751,895,637,035,487,451,832,
324,347,174,277,178,305,705,355,608,205,675,756,137,776,619,054,185,292,365,
345,359,084,020,929,885,158,214,996,857,424,594,004,164,355,552,222,263,970,
740,145,747,274,532,013,715,576,438,146,137,777,904,878,951,246,168,470,668,
326,744,155,819,369,065,537,015,482,612,706,817,009,245,112,920,906,016,944,
177,094,741,200,076,303,303,032,068,462,196,139,819,063,284,930,094,842,201,
028,389,569,499,436,714,091,760,074,230,535,089,481,325,863,205,117,726,710,
052,855,048,926,393,440,724,610,007,180,944,011,527,758,303,674,684,492,927,
657,981,003,103,413,569,352,982,844,810,543,221,974,627,616,825,752,013,757,
135,129,301,777,568,976,109,044,930,148,979,897,564,342,871,335,515,981,663,
202,801,185,782,780,901,971,096,883,228,694,676,522,767,418,408,041,126,664,
143,414,221,245,834,640,676,673,339,928,722,746,609,656,128,327,396,022,039,
129,990,756,835,619,282,810,322,884,548,539,746,523,937,853,416,249,441,074,
689,145,548,230,922,607,479,887,626,955,405,859,801,843,292,649,511,677,432,
952,177,662,873,474,817,839,855,114,782,989,544,962,823,969,410,341,444,363,
992,574,176,746,725,685,493,525,262,218,764,304,323,982,846,531,904,515,677,
558,319,265,028,081,022,694,545,936,069,197,718,938,345,574,545,331,714,599,
705,946,708,878,240,299,737,777,398,007,274,837,738,212,917,381,793,073,663,
547,782,990,595,510,598,262,896,184,048,538,173,481,356,309,179,349,370,645,
879,029,102,429,405,824,485,234,428,870,931,253,219,464,454,917,191,508,199,
691,021,281,097,238,506,520,579,928,093,420,151,628,961,815,501,818,275,228,
916,229,056,889,771,165,697,800,593,908,969,200,883,643,951,267,872,659,436,
142,785,505,372,776,451,560,402,002,174,162,329,831,216,184,573,098,624,785,
112,208,808,575,887,115,152,778,871,916,420,293,824,685,396,910,851,791,122,
343,525,995,539,171,236,529,284,536,425,171,504,724,999,731,259,379,686,885,
209,780,145,454,615,929,670,926,258,376,679,453,210,002,506,126,023,544,987,
851,473,508,334,388,254,534,130,604,512,676,330,482,668,058,770,348,303,942,
088,223,663,064,337,738,641,561,578,402,935,756,578,128,464,940,605,731,922,
931,799,522,892,764,820,997,245,213,218,341,505,604,743,711,156,882,369,253,
878,993,161,254,203,003,431,265,725,931,815,600,124,458,881,446,603,926,737,
881,314,050,337,116,496,140,487,129,144,659,102,712,806,379,284,902,197,104,
564,681,717,785,917,701,413,887,701,162,582,088,052,695,397,798,572,477,170,
471,862,495,123,502,386,992,904,884,761,555,427,253,986,551,737,364,071,449,
074,282,759,599,075,671,567,368,041,675,893,962,627,070,531,427,543,122,346,
628,095,852,121,141,895,458,807,204,677,731,530,281,850,985,651,526,901,855,
590,933,441,728,804,235,747,683,823,443,015,689,911,095,616,319,768,536,995,
470,837,237,117,408,824,944,823,461,034,331,050,375,865,674,416,276,817,712,
282,065,070,795,932,953,775,503,003,270,438,721,116,911,861,129,599,569,814,
701,010,281,113,485,374,967,747,947,218,293,924,212,384,821,165,485,595,662,
536,234,195,012,260,957,555,576,410,516,042,108,572,966,830,487,070,781,311,
489,421,485,493,796,994,642,441,412,683,316,650,750,341,758,622,385,619,399,
621,903,158,945,646,259,412,710,424,618,822,740,075,266,517,019,799,012,403,
742,004,136,846,207,880,794,730,651,652,547,817,294,027,643,612,475,759,758,
982,069,066,863,734,564,913,583,238,744,743,882,002,960,723,335,549,257,194,
730,738,363,771,820,609,996,189,440,166,939,140,780,619,722,444,717,846,744,
637,952,843,407,765,940,101,599,044,861,536,173,725,895,032,114,910,043,597,
201,084,214,716,178,371,694,538,082,828,392,629,774,764,136,889,191,529,840,
526,645,869,805,926,997,411,179,880,918,261,257,447,998,798,601,936,514,100,
134,928,067,194,621,809,665,855,914,905,282,503,550,030,580,500,923,383,344,
527,216,233,362,159,304,515,841,751,159,551,549,566,106,123,900,115,222,804,
644,386,527,074,187,739,297,439,298,603,696,972,381,721,911,563,598,306,447,
526,713,169,337,640,809,275,676,138,513,697,870,301,093,333,922,927,918,296,
503,442,364,107,756,050,379,731,659,762,002,247,114,567,437,990,831,375,833,
595,867,343,751,604,013,173,921,552,332,640,003,583,753,923,991,932,584,518,
340,733,586,621,408,899,662,420,070,878,275,924,302,709,203,377,853,919,057,
197,425,103,505,443,859,495,863,311,210,065,761,283,535,703,655,475,005,521,
580,032,217,155,312,427,484,817,718,262,243,993,982,263,040,716,524,148,477,
694,448,864,343,739,439,418,976,327,451,500,898,110,169,461,715,168,463,127,
972,829,130,053,406,851,055,904,898,783,232,568,258,827,710,084,780,311,535,
517,239,360,757,151,167,318,380,348,714,802,408,614,825,543,279,214,650,484,
338,615,062,020,604,095,326,300,864,413,986,039,388,613,406,165,412,304,652,
796,566,570,585,296,185,396,554,370,178,465,721,405,009,316,630,537,895,134,
481,886,200,744,863,080,570,010,429,190,110,544,662,146,103,470,929,973,169,
653,906,629,884,926,572,814,138,935,882,585,711,985,735,871,077,573,985,338,
541,440,043,665,135,105,713,548,270,635,183,782,817,306,764,818,393,276,570,
018,329,889,933,237,219,244,520,668,416,283,017,554,371,514,946,477,650,964,
928,645,599,093,502,607,179,379,729,652,002,476,616,031,782,965,775,446,229,
793,258,916,353,785,615,374,995,622,567,434,966,380,533,802,299,736,834,745,
826,102,008,209,491,642,223,293,190,317,287,748,383,741,389,772,369,258,003,
833,107,959,888,453,135,985,395,472,753,722,907,776,861,671,265,145,119,418,
603,445,036,278,725,431,301,617,423,641,927,341,355,228,009,886,619,261,345,
987,661,722,370,967,379,140,440,720,545,067,804,629,293,704,541,718,424,333,
920,035,738,617,549,436,086,888,166,880,479,786,156,065,318,896,898,091,612,
762,972,095,259,844,542,822,674,925,407,303,615,484,237,374,504,784,370,751,
069,894,256,469,003,886,359,318,793,694,585,504,025,224,340,485,009,029,215,
475,317,957,418,573,102,289,426,873,146,442,258,894,609,055,461,318,666,085,
522,087,259,849,007,031,468,859,279,973,898,408,550,823,575,318,528,650,124,
727,858,977,296,678,658,727,889,667,803,627,853,445,286,337,551,503,810,823,
759,456,635,877,484,225,340,301,201,483,995,257,149,259,510,706,580,420,180,
581,663,263,111,740,052,734,501,330,258,654,139,023,664,646,954,770,146,293,
902,481,151,042,512,620,644,071,307,053,650,478,682,156,468,984,113,987,977,
675,379,975,646,613,187,210,372,283,804,421,395,237,533,832,086,615,770,577,
018,613,618,029,610,636,176,096,447,594,110,495,245,221,006,126,868,156,937,
751,780,568,401,118,498,358,236,237,207,665,628,617,770,357,629,057,100,416,
523,522,505,844,207,745,891,448,247,308,905,086,467,567,395,379,530,218,237,
072,257,344,167,147,408,932,001,313,730,582,582,916,585,679,562,527,249,416,
368,432,036,502,436,888,235,499,465,717,362,200,271,272,762,268,012,418,142,
381,868,974,820,930,949,028,682,092,644,433,518,351,477,994,222,602,712,684,
805,464,725,313,542,481,629,966,698,440,101,275,727,149,217,540,527,147,279,
766,061,858,534,550,115,002,027,144,300,499,330,566,183,766,773,086,747,963,
905,420,443,280,997,809,995,846,313,435,789,645,055,485,017,614,124,876,082,
016,143,435,925,506,784,214,543,897,343,480,831,594,649,575,618,711,002,259,
084,254,637,015,251,004,125,693,726,446,904,014,811,591,134,818,017,193,876,
562,205,126,361,617,519,338,217,921,752,492,806,227,182,359,088,711,373,897,
714,732,723,115,315,857,882,859,626,103,211,776,260,075,274,327,579,397,872,
649,028,693,013,603,815,069,560,199,256,460,287,284,275,897,016,341,344,812,
258,916,982,392,551,750,150,456,691,817,687,931,395,267,929,098,748,308,043,
630,780,276,694,587,875,721,494,854,548,486,637,439,482,551,281,288,650,534,
473,498,090,422,359,416,304,740,359,447,838,305,112,021,942,958,914,616,012,
849,394,156,783,966,578,054,764,170,149,341,083,357,725,584,680,166,746,404,
220,955,514,903,898,241,944,704,945,827,174,766,586,192,953,271,929,298,324,
426,772,109,782,144,590,227,028,937,681,565,504,176,632,774,386,972,885,158,
235,277,699,911,607,151,624,131,666,420,768,620,846,976,665,087,824,234,741,
015,863,172,237,139,321,411,446,031,620,808,117,308,472,548,233,987,555,192,
134,589,580,615,084,695,762,274,497,266,727,788,678,445,155,652,194,938,677,
584,624,201,655,098,214,449,391,107,782,012,729,333,700,145,171,288,738,527,
492,206,819,003,782,907,870,653,684,499,653,001,835,186,998,573,900,594,290,
988,799,307,624,995,311,888,157,732,857,094,867,841,799,471,086,495,604,014,
004,706,027,310,494,754,180,453,329,621,431,289,831,975,270,034,344,434,276,
147,800,382,153,594,309,770,952,236,655,125,692,050,073,570,123,421,013,729,
128,985,535,002,441,560,345,004,630,234,301,162,923,287,379,699,292,624,083,
624,416,454,945,920,067,104,349,894,674,237,710,813,185,723,122,537,613,708,
563,313,651,781,783,539,457,357,597,970,598,165,231,671,200,929,011,817,078,
949,098,338,855,475,309,697,425,410,715,610,717,975,536,021,599,512,842,815,
247,618,332,366,047,570,002,010,954,500,085,694,862,837,847,126,778,099,368,
909,337,282,753,305,910,466,567,558,432,494,151,576,421,590,937,688,750,939,
794,682,755,726,668,921,484,839,047,843,086,828,375,407,676,541,412,724,238,
205,999,097,379,182,335,917,725,926,492,960,539,663,537,335,986,539,634,147,
146,394,114,094,595,956,521,516,031,224,027,733,706,695,163,770,362,709,589,
014,613,409,694,337,052,819,270,193,854,358,038,280,065,851,381,020,049,470,
847,983,935,624,892,459,690,509,598,846,323,138,850,457,486,805,803,941,524,
891,789,729,838,698,001,739,879,674,342,831,100,988,292,883,026,516,794,146,
559,394,054,829,776,915,426,579,427,386,431,853,495,016,299,570,462,760,791,
282,688,638,846,914,377,482,677,053,937,974,386,288,239,250,373,851,091,066,
041,402,268,377,901,448,422,329,973,362,295,269,088,719,949,339,222,280,516,
375,193,288,413,625,536,430,898,778,315,591,300,071,605,729,344,174,135,401,
614,707,628,932,601,528,669,510,493,414,062,551,370,785,071,981,151,502,203,
169,382,985,013,306,250,486,586,147,283,906,912,631,708,972,234,924,652,084,
037,160,244,284,551,958,552,990,557,785,480,440,707,167,739,942,724,568,292,
531,576,344,484,175,655,690,628,727,225,093,947,824,382,221,845,308,349,957,
685,135,445,376,236,026,719,733,042,565,065,744,745,038,721,223,463,683,462,
577,361,150,306,687,791,922,801,464,258,722,163,155,947,881,317,755,765,430,
329,685,076,329,113,585,419,730,437,626,333,116,556,264,835,463,478,698,265,
940,426,027,494,544,526,629,863,794,493,025,363,606,017,070,341,077,885,460,
952,981,202,596,925,092,202,912,091,388,361,982,194,409,370,084,394,892,311,
897,555,721,649,801,139,275,760,839,861,642,220,632,362,902,364,916,194,426,
543,069,207,036,932,575,819,096,480,323,189,219,799,553,972,830,779,487,774,
987,561,954,339,753,517,157,572,770,025,436,455,630,250,996,125,397,243,405,
879,324,168,392,427,857,057,288,092,750,540,487,745,295,735,343,843,143,817,
212,865,179,422,080,133,229,166,102,520,084,269,091,670,800,412,941,050,947,
933,939,927,156,274,953,552,281,475,824,523,150,026,398,888,441,578,736,127,
662,938,159,577,145,519,663,448,895,207,408,380,950,399,863,601,533,622,514,
672,256,789,572,338,299,709,228,872,143,662,442,885,346,370,170,119,718,282,
453,164,960,750,379,927,185,144,890,704,298,702,526,071,860,172,693,586,451,
032,939,410,352,335,323,994,485,614,250,987,847,643,328,213,409,962,723,597,
620,914,282,079,417,952,958,123,245,332,339,184,627,437,102,323,078,939,376,
600,811,828,270,549,613,577,070,271,139,882,539,904,924,469,639,467,035,385,
493,044,133,392,015,856,015,976,091,577,371,754,175,247,421,874,195,085,187,
901,758,425,513,552,499,819,130,181,428,425,832,874,251,587,766,979,168,682,
361,132,349,469,108,856,197,149,914,119,660,926,521,314,705,336,644,679,795,
867,165,162,375,525,812,375,880,774,144,676,905,425,711,159,766,432,179,228,
983,822,529,021,259,680,935,896,738,179,891,796,835,429,521,796,812,983,118,
704,085,616,350,741,927,058,970,863,398,566,435,620,375,654,158,430,750,633,
176,994,649,664,879,233,471,940,175,994,488,067,701,783,726,774,789,677,217,
824,122,762,916,162,919,134,530,372,827,197,866,619,059,392,156,590,329,815,
222,424,094,010,569,624,580,989,914,316,182,016,694,068,543,296,064,776,458,
305,789,731,392,490,811,586,141,777,581,048,043,992,393,290,344,031,660,155,
419,634,886,676,923,820,073,602,514,289,040,459,927,706,130,869,163,940,286,
222,117,671,617,051,715,414,501,564,802,076,678,280,894,208,005,672,592,796,
777,592,607,285,031,226,138,883,842,603,024,363,395,294,622,999,769,382,100,
948,086,625,761,277,076,567,279,449,397,473,490,039,084,473,643,401,557,545,
319,266,710,714,287,274,081,809,549,718,502,095,462,345,237,961,826,933,370,
158,225,239,897,286,657,460,828,187,760,924,107,497,904,478,824,858,344,980,
940,940,179,706,747,251,742,812,298,467,475,475,959,801,806,929,255,579,042,
570,783,121,188,832,312,343,030,664,409,523,801,281,171,618,698,210,339,150,
651,133,038,966,799,218,011,898,572,358,972,517,056,755,068,975,438,839,092,
536,079,365,683,714,032,074,960,196,549,332,534,941,382,961,905,492,087,509,
184,938,546,289,316,520,873,175,973,189,531,035,772,599,477,997,163,649,270,
696,621,133,936,156,347,731,970,904,844,936,222,235,263,176,692,161,199,523,
068,019,998,051,902,559,661,251,986,654,768,196,290,934,460,925,409,955,146,
256,307,746,365,086,514,451,632,162,957,716,691,604,568,557,477,277,536,635,
628,052,570,088,323,034,244,280,313,109,054,398,183,492,303,892,270,308,919,
653,537,446,036,404,485,398,896,472,719,408,146,627,313,175,905,252,811,984,
218,662,992,473,026,277,889,413,384,305,584,057,449,255,289,547,822,523,715,
883,470,932,605,043,665,879,036,959,565,951,029,983,731,628,854,664,431,591,
184,284,928,821,816,561,234,587,922,264,897,867,656,074,072,473,275,853,206,
451,134,454,454,323,095,734,810,760,448,528,115,329,725,423,826,389,498,028,
382,883,864,274,668,442,546,814,018,422,254,974,934,344,022,881,859,407,508,
932,462,376,958,185,875,472,879,748,122,909,944,902,171,649,479,437,266,250,
310,857,424,175,565,903,299,205,017,159,267,823,682,553,992,268,497,822,526,
814,446,755,458,291,397,438,310,728,805,145,287,853,873,123,286,603,355,194,
299,543,381,693,246,374,332,539,440,606,289,546,795,685,561,179,643,303,304,
962,699,006,783,457,217,801,579,219,907,596,588,172,715,485,565,973,549,815,
806,011,539,039,729,771,330,860,753,935,688,061,018,072,422,520,984,935,963,
397,446,709,982,685,891,079,324,048,254,124,991,909,294,959,832,416,956,837,
159,998,706,336,282,795,722,953,865,027,768,711,009,868,931,539,919,733,376,
260,665,540,708,559,117,543,886,566,822,389,877,937,661,515,823,710,182,036,
451,633,980,661,186,932,942,083,805,551,702,125,865,559,125,203,164,062,432,
555,800,405,869,733,552,552,522,839,252,596,380,159,132,404,943,223,379,107,
582,077,744,510,659,491,454,102,466,578,544,948,113,734,058,909,323,789,512,
683,920,421,149,778,676,602,321,671,603,944,325,134,583,915,195,086,386,600,
529,088,339,030,421,967,163,719,448,397,999,114,703,494,228,527,828,221,961,
167,841,599,367,619,996,416,680,704,070,089,984,708,968,028,913,736,978,481,
034,204,697,673,230,101,982,999,136,823,970,079,395,927,681,866,112,411,292,
334,349,169,588,937,236,390,080,830,499,919,967,680,850,088,744,016,787,029,
750,573,179,872,324,437,590,389,575,944,823,079,501,711,303,808,173,280,339,
324,498,285,145,996,904,408,359,732,032,874,180,321,736,052,066,011,301,228,
799,646,678,584,589,233,653,164,475,411,971,050,716,576,103,577,644,507,949,
663,528,048,691,348,103,161,102,902,461,579,267,883,034,449,164,351,541,778,
470,064,238,715,681,184,779,006,075,462,233,284,254,378,258,809,237,277,866,
544,307,888,266,230,018,820,801,404,511,849,002,710,804,898,714,295,637,684,
101,505,131,036,659,594,113,767,390,496,273,418,204,200,744,189,041,129,700,
984,866,631,811,973,596,203,927,000,328,487,605,024,397,244,904,706,834,713,
623,247,819,651,372,281,505,734,999,716,590,174,536,534,220,653,689,336,873,
649,554,543,371,691,668,384,369,482,401,665,960,966,557,851,193,380,531,932,
833,471,453,549,887,752,492,884,668,144,342,428,388,368,779,245,778,505,099,
561,519,511,930,333,397,115,125,714,133,697,972,637,717,885,026,937,687,224,
770,975,545,353,559,326,889,039,516,136,440,116,554,050,679,215,256,302,752,
084,140,469,519,987,310,221,809,683,938,187,405,701,898,196,667,810,686,520,
972,048,634,283,396,233,468,201,561,278,768,331,866,939,014,832,881,714,035,
275,902,443,195,107,882,366,637,106,332,379,939,778,121,753,261,751,113,166,
365,577,817,206,145,782,163,147,542,274,273,905,437,283,244,216,229,439,402,
181,920,870,048,369,726,540,864,920,003,450,659,093,972,482,978,151,058,836,
744,440,562,884,124,114,937,960,630,582,535,120,616,484,333,178,021,286,340,
525,187,310,497,008,208,307,019,955,412,953,662,549,409,360,079,537,708,141,
547,173,713,147,788,051,778,426,806,833,157,821,503,464,596,314,451,286,618,
036,697,181,764,777,876,076,902,442,346,526,234,855,439,708,342,572,822,915,
399,769,771,534,733,265,032,054,409,671,703,613,251,443,705,615,893,304,244,
986,477,327,511,409,464,112,619,849,502,801,257,301,450,147,722,237,590,825,
363,305,056,110,427,713,412,420,671,708,415,070,491,155,676,887,190,474,519,
297,371,447,810,420,198,160,957,738,734,322,563,014,841,733,942,435,486,237,
701,780,858,566,664,002,107,287,822,646,013,628,266,572,276,911,895,595,585,
228,578,859,909,826,258,191,482,549,815,964,800,080,322,806,971,460,353,546,
652,184,899,083,359,528,949,886,828,125,991,661,302,189,098,055,157,139,799,
253,557,314,164,678,958,053,383,230,758,255,669,840,415,577,374,905,614,658,
780,332,545,415,391,041,391,043,690,847,201,953,907,156,388,650,491,101,123,
908,340,820,629,332,723,305,130,531,692,801,092,097,735,604,943,259,866,144,
948,109,943,455,552,711,416,644,162,013,660,695,745,597,044,761,533,381,596,
325,943,642,250,861,478,901,920,870,055,001,008,335,534,170,393,055,922,039,
016,341,111,895,543,162,034,555,375,661,283,617,694,342,376,293,861,090,224,
361,709,583,414,043,571,389,675,728,578,676,604,055,753,559,920,930,718,435,
698,114,907,141,153,432,932,986,153,474,826,083,926,501,295,395,855,603,643,
029,213,621,526,539,852,684,777,415,386,692,145,343,704,125,248,348,951,078,
568,751,528,697,976,647,562,610,054,855,611,040,522,670,741,393,004,835,177,
563,655,362,233,756,492,623,622,326,354,920,025,084,961,727,045,351,549,142,
462,896,273,662,059,753,710,935,049,747,792,783,418,645,490,173,767,249,395,
676,408,992,526,512,935,660,532,104,633,788,731,018,115,076,522,657,998,592,
629,541,472,620,278,305,834,793,589,431,449,437,357,244,107,433,109,161,136,
430,426,815,665,410,014,621,793,861,996,549,847,043,909,597,894,836,905,980,
063,534,339,397,831,839,090,742,586,313,515,312,641,340,311,809,841,429,846,
395,844,056,932,245,404,164,326,540,269,407,533,738,278,775,777,976,480,481,
407,249,668,289,035,814,747,198,631,640,294,166,745,313,685,607,096,450,023,
052,400,629,497,304,744,432,443,149,904,899,775,137,070,099,678,885,696,680,
241,734,898,644,366,950,476,570,472,709,021,822,435,973,325,734,411,834,059,
083,852,266,240,267,035,791,110,885,557,436,059,747,878,544,548,240,920,536,
093,361,525,571,426,880,172,730,598,867,100,871,362,663,995,731,231,341,874,
842,234,498,304,158,354,621,102,945,463,466,000,255,259,390,529,246,536,662,
187,419,719,717,817,335,697,758,268,224,005,264,410,042,940,905,602,663,298,
628,369,237,313,500,657,415,536,590,050,216,875,440,197,592,964,946,328,715,
858,623,769,070,482,235,712,353,328,836,111,975,391,373,274,929,296,032,899,
803,280,004,162,136,053,447,569,543,275,151,688,612,421,309,244,930,751,768,
743,819,978,112,532,784,328,573,278,138,189,601,018,912,258,387,158,895,885,
697,749,702,802,153,688,661,111,314,719,931,612,008,121,500,819,904,704,751,
966,865,393,277,247,024,644,899,826,273,171,716,842,619,722,356,299,294,536,
202,533,749,644,038,085,649,852,221,048,143,864,950,942,566,481,367,132,097,
613,049,132,409,127,278,233,196,361,814,104,438,282,431,084,893,886,972,913,
395,432,209,448,504,996,343,054,907,542,559,690,074,346,653,299,119,751,138,
695,678,895,327,010,792,038,387,429,575,869,083,166,695,904,514,838,314,810,
062,741,003,146,554,592,372,613,019,645,709,806,704,109,438,443,038,183,918,
078,652,418,536,278,906,168,063,065,382,838,299,958,942,391,277,742,713,788,
692,903,916,081,918,237,910,638,470,871,087,286,026,530,543,626,338,264,386,
635,822,055,554,850,214,347,238,704,506,346,121,791,975,932,144,622,141,503,
576,880,461,329,907,960,785,250,698,378,284,160,930,605,886,576,063,866,647,
482,575,675,598,296,101,404,974,249,617,981,752,990,401,633,759,261,877,473,
970,915,280,486,320,020,781,659,019,712,263,274,854,734,345,523,908,019,645,
273,423,277,650,635,225,935,586,540,023,604,735,493,171,990,189,001,004,544,
694,100,904,670,117,539,732,035,629,799,578,341,363,171,082,235,189,505,065,
704,909,374,680,926,331,953,338,746,892,888,296,573,056,877,755,729,122,849,
320,809,825,006,735,136,491,609,154,585,544,171,662,365,799,839,135,207,623,
073,144,161,275,922,195,646,964,909,234,689,330,490,049,219,557,039,405,473,
424,776,262,664,766,363,207,149,894,035,411,272,947,470,043,312,145,885,024,
020,687,830,387,947,545,960,928,057,746,081,234,922,913,975,014,353,848,767,
591,741,682,336,228,950,360,801,539,738,767,127,025,276,173,607,679,446,347,
210,774,973,772,464,722,520,761,704,183,934,524,971,009,548,801,736,710,420,
345,470,963,905,892,717,705,153,280,120,237,700,082,906,349,330,070,354,878,
007,341,356,315,934,594,090,921,570,090,172,581,573,583,805,480,956,333,603,
626,710,147,641,921,791,830,372,324,848,751,348,623,554,775,294,778,855,071,
479,702,912,897,260,155,277,486,112,853,021,444,883,001,800,792,032,863,098,
661,786,891,949,269,803,070,499,315,662,216,140,072,237,600,790,576,603,601,
618,453,998,860,336,826,752,079,160,189,523,041,641,892,993,050,578,486,132,
070,653,441,124,234,796,714,561,455,300,441,020,954,269,923,678,790,828,795,
206,707,479,766,442,494,388,783,306,401,221,855,803,453,254,269,467,032,155,
702,760,251,651,030,598,168,993,371,315,540,047,376,622,685,009,578,270,731,
740,683,825,484,894,326,379,326,392,860,713,308,390,191,326,414,284,912,049,
093,312,010,575,908,892,244,998,874,589,877,560,391,875,578,510,231,623,736,
679,597,437,496,406,285,840,125,483,976,835,170,152,420,612,900,212,517,210,
569,567,913,654,859,886,525,225,165,255,320,294,192,484,203,567,475,534,856,
371,433,969,444,323,938,001,789,197,836,473,175,009,686,828,264,849,170,336,
471,313,697,381,564,496,887,888,634,837,834,686,747,861,297,181,843,639,888,
577,016,593,334,136,788,898,299,250,130,718,843,145,480,976,474,586,356,620,
692,581,379,985,777,503,427,250,390,677,536,676,736,004,217,583,803,834,748,
557,724,890,154,089,977,104,479,714,230,841,112,048,237,523,565,309,400,963,
935,034,258,904,914,626,420,451,635,413,516,460,314,576,165,866,272,802,802,
223,650,784,791,625,382,845,182,744,011,999,269,433,924,157,122,720,518,470,
569,684,337,770,304,613,860,072,589,903,840,852,874,162,140,085,940,957,029,
867,742,411,711,290,931,869,387,167,396,586,914,686,584,906,776,963,306,258,
071,848,773,019,386,087,298,297,753,106,903,265,934,182,549,691,788,445,751,
930,816,366,871,719,896,405,894,195,100,371,146,678,352,981,830,968,434,160,
713,490,190,830,641,607,862,154,033,103,158,335,458,136,730,349,744,638,829,
775,975,940,280,936,172,265,716,696,278,384,270,406,939,993,208,035,176,304,
108,412,927,305,623,529,092,375,361,502,927,806,907,118,582,826,987,374,360,
449,099,080,218,393,496,609,149,655,710,607,944,347,995,150,709,349,899,273,
078,791,815,595,597,510,658,434,636,133,396,138,729,878,970,400,386,416,022,
396,800,358,587,341,545,167,968,243,470,923,678,654,097,903,992,400,047,821,
997,878,921,414,590,512,184,036,737,939,453,622,409,159,113,431,591,448,142,
750,115,771,736,315,919,060,086,516,962,805,762,361,823,274,273,294,734,768,
438,891,196,492,502,315,163,622,192,323,040,791,770,243,319,262,138,785,418,
292,817,184,811,098,090,567,844,964,873,637,886,021,360,119,918,191,178,002,
047,905,174,536,558,051,422,442,312,958,859,963,548,736,512,159,329,621,976,
084,544,195,115,034,365,202,690,475,536,702,268,370,701,422,762,279,196,680,
160,177,682,883,087,338,773,230,244,327,418,879,587,643,241,070,087,284,381,
564,848,579,203,145,617,796,208,087,437,197,177,596,460,252,848,858,971,315,
055,565,420,635,889,997,426,692,686,897,094,192,278,241,847,560,372,166,830,
213,265,160,822,955,969,460,210,090,428,918,839,599,924,038,001,187,256,626,
503,952,554,012,824,936,671,036,195,880,318,537,893,093,584,191,671,816,415,
026,493,311,532,467,443,196,032,542,997,431,212,662,758,608,249,299,406,111,
959,798,297,528,368,757,710,387,458,921,193,027,151,115,001,024,987,082,632,
324,556,915,551,673,534,245,610,796,664,253,092,830,064,041,954,701,710,543,
476,753,890,822,769,430,191,471,115,441,189,292,894,113,454,578,560,951,084,
096,006,630,770,775,050,988,896,257,350,677,039,238,929,440,005,625,511,746,
112,480,065,878,369,578,079,170,725,385,231,854,261,451,537,216,629,491,923,
004,357,525,746,887,805,750,146,261,893,340,902,236,440,877,144,303,830,453,
496,673,122,966,532,891,025,433,109,304,900,563,817,840,725,584,858,422,360,
334,115,186,210,482,842,340,452,113,023,717,318,448,493,199,808,764,741,543,
985,036,221,023,873,353,215,747,787,420,563,962,172,707,199,593,668,260,566,
338,225,675,230,965,761,909,654,011,052,304,281,748,542,291,253,815,674,336,
269,812,185,352,515,188,639,079,760,513,943,205,447,483,780,374,203,918,874,
988,454,078,373,763,388,419,183,798,371,149,008,624,236,269,185,953,169,140,
289,890,161,770,958,683,521,283,287,172,322,575,329,240,921,068,687,149,507,
509,806,613,829,505,425,668,594,056,274,590,003,328,975,563,798,849,261,824,
068,917,811,522,028,802,847,685,180,803,456,740,704,630,718,073,332,496,600,
961,828,533,207,139,356,280,030,278,405,911,241,040,983,863,502,712,150,939,
751,883,355,842,351,407,353,831,044,749,771,396,390,793,456,089,115,877,422,
479,339,896,089,588,004,705,784,359,324,608,134,500,598,220,681,929,205,170,
716,403,862,950,032,599,529,577,111,641,978,972,517,296,492,761,078,204,409,
894,777,883,673,149,162,532,303,492,600,734,919,422,395,069,722,607,803,147,
762,210,257,298,349,674,248,403,738,243,612,715,567,164,825,918,266,932,376,
868,215,748,936,702,508,360,170,473,928,250,408,686,209,386,115,743,979,904,
420,810,161,712,551,221,100,792,571,323,045,646,138,064,605,114,137,652,220,
251,126,194,145,846,627,122,674,192,611,796,628,041,260,772,139,195,632,181,
863,610,952,068,939,186,000,626,560,382,769,075,905,085,006,583,962,965,039,
001,496,087,440,812,098,952,785,438,067,340,215,319,895,739,010,501,557,269,
100,225,850,345,673,838,259,787,887,081,561,699,033,965,675,901,055,230,643,
297,034,684,512,876,191,800,227,640,981,259,908,841,710,602,066,096,723,997,
111,966,921,606,120,204,101,206,371,066,294,854,202,371,663,350,493,393,864,
261,450,056,423,707,873,858,537,232,414,534,440,405,996,355,983,763,323,125,
873,528,147,773,282,156,553,371,789,868,198,036,994,799,177,118,943,566,006,
399,515,072,269,374,456,102,286,327,564,580,476,365,063,887,621,480,464,074,
224,134,010,419,519,412,936,383,997,318,699,401,826,462,020,474,852,419,873,
596,122,060,851,795,232,058,588,989,321,369,235,347,446,638,693,088,264,707,
539,590,794,436,569,766,498,870,893,915,965,130,682,143,493,874,934,478,945,
210,932,823,788,304,957,117,248,995,260,565,474,668,999,969,124,884,784,789,
962,028,736,257,600,531,226,995,643,710,730,559,007,930,254,092,604,314,127,
385,858,867,767,631,853,666,664,278,694,734,703,377,309,794,936,517,537,234,
541,412,869,020,277,649,470,445,616,122,496,837,942,694,201,261,670,904,609,
926,601,359,877,442,488,244,558,323,384,874,869,329,468,915,510,313,601,296,
538,870,628,512,568,125,503,203,173,462,976,203,388,846,794,264,344,892,322,
260,137,107,101,191,584,890,237,587,231,747,848,432,154,616,921,029,647,476,
326,990,314,542,684,511,926,136,063,403,671,524,120,242,127,117,896,637,806,
848,000,298,633,196,599,234,576,286,880,390,802,155,700,931,046,296,466,277,
315,388,626,354,731,264,010,026,063,668,191,831,905,752,852,642,832,414,003,
141,428,645,133,838,212,886,950,577,339,523,860,325,214,603,302,440,075,818,
200,724,735,613,586,068,053,910,586,076,353,493,273,797,221,578,966,134,366,
102,670,126,554,426,318,355,346,058,806,160,210,810,055,004,774,773,013,048,
280,980,368,829,479,918,654,045,761,919,325,285,447,869,437,699,681,181,620,
279,511,702,455,504,918,293,958,627,319,135,198,965,237,971,233,929,077,562,
624,575,883,357,319,318,310,504,689,825,489,261,640,075,465,757,897,448,701,
297,383,085,042,839,040,143,020,625,259,586,155,422,111,450,441,811,866,809,
933,451,849,569,065,971,966,195,689,723,211,967,547,265,045,099,293,315,101,
377,882,810,886,479,683,764,267,730,021,472,732,925,127,918,419,382,037,098,
810,423,356,651,242,055,493,855,683,826,634,593,602,842,872,305,280,424,370,
457,765,805,779,706,821,353,275,499,882,112,158,305,906,147,498,011,196,649,
682,084,017,153,274,538,834,692,319,577,357,624,067,400,149,115,308,978,535,
465,348,068,628,910,603,974,157,259,472,809,903,375,214,164,097,386,438,449,
881,752,150,630,992,759,259,506,193,389,411,977,699,320,270,062,337,561,912,
596,400,281,752,634,748,912,818,245,477,526,009,091,769,710,678,920,288,877,
455,578,627,843,370,869,715,723,690,692,405,683,154,837,769,962,364,729,270,
343,627,987,891,693,164,918,866,714,898,661,133,231,248,075,221,261,122,429,
357,577,834,423,727,126,638,603,706,607,003,353,256,641,273,783,267,031,219,
957,628,430,561,103,496,173,895,981,842,578,657,807,779,436,367,279,426,712,
257,107,737,479,082,188,608,214,388,878,909,195,650,992,224,046,945,304,823,
846,991,161,071,533,261,870,897,307,409,219,553,064,661,094,621,832,869,491,
416,098,321,525,190,426,377,822,380,179,496,094,872,838,880,905,176,616,787,
901,958,693,879,391,888,508,982,781,488,199,919,376,359,700,260,108,647,578,
325,311,588,459,717,335,559,257,444,303,112,857,275,745,588,836,634,641,578,
354,802,763,614,981,149,253,628,845,120,706,834,384,088,155,805,844,981,856,
850,588,733,583,611,161,814,494,067,576,911,299,618,951,483,312,142,357,614,
790,082,046,312,579,781,887,926,089,472,597,130,023,746,128,793,490,111,836,
984,481,967,064,562,123,414,248,222,630,305,822,011,446,143,733,020,521,159,
816,592,461,006,523,535,639,825,784,967,559,552,191,426,612,119,784,002,769,
176,347,554,278,200,201,296,827,366,369,361,142,877,815,649,445,749,041,069,
160,233,507,308,580,468,817,738,687,197,822,036,954,202,088,602,316,130,817,
831,105,487,650,566,625,484,248,455,159,867,094,918,678,458,936,600,614,968,
573,127,553,752,718,154,537,282,451,648,894,112,457,368,235,166,627,677,372,
843,371,899,267,046,944,807,299,639,582,729,548,754,931,299,928,894,620,766,
637,181,110,297,496,553,093,222,773,100,627,032,678,396,893,637,857,388,820,
627,832,123,322,904,733,351,596,498,048,924,254,401,297,416,517,538,611,731,
958,728,875,809,735,401,963,652,592,651,376,601,254,058,086,222,528,737,953,
358,889,854,321,673,772,432,581,872,440,210,513,115,604,039,598,268,509,121,
286,261,225,402,534,408,626,850,176,364,997,283,121,154,383,465,499,176,645,
765,037,282,799,611,327,642,929,836,461,925,148,139,943,561,534,073,936,583,
986,753,984,818,666,940,578,057,024,817,386,555,037,513,550,968,308,601,274,
933,577,044,982,093,559,572,086,420,367,278,069,709,462,818,792,028,439,761,
788,202,495,026,802,971,752,190,721,159,699,152,926,970,501,009,021,810,902,
513,860,428,494,162,666,206,373,069,921,150,279,143,435,136,327,283,897,779,
877,236,377,097,932,717,599,676,872,386,097,396,119,383,608,760,661,721,217,
812,561,457,774,189,694,375,095,872,517,946,694,630,449,891,631,827,166,718,
728,407,546,430,091,944,507,140,275,681,196,640,436,866,968,067,912,195,109,
437,260,244,168,689,840,444,748,100,101,669,975,739,265,587,108,871,333,264,
685,678,860,411,367,297,387,976,368,765,225,886,890,044,826,813,099,134,180,
416,259,641,647,622,645,802,612,325,278,718,340,379,584,601,877,596,760,100,
799,586,434,637,968,504,956,936,914,822,062,627,652,352,148,719,682,885,380,
421,433,094,222,478,456,774,589,467,257,224,498,847,351,858,490,777,943,253,
095,342,388,215,719,124,612,364,168,548,718,694,099,109,749,853,360,708,524,
974,736,107,778,971,634,036,375,568,133,582,360,791,267,608,762,457,970,090,
887,387,787,713,669,583,996,604,869,997,034,463,520,973,390,325,191,520,507,
599,334,195,360,056,284,632,958,977,843,019,579,869,695,558,902,918,992,495,
207,829,698,992,475,906,281,720,005,769,560,306,665,001,384,566,702,958,577,
401,073,893,452,374,572,587,443,669,396,651,375,586,190,106,294,580,722,843,
201,774,085,922,663,777,909,854,246,269,583,435,606,627,030,496,064,223,947,
061,367,409,144,146,494,189,168,348,860,733,212,662,374,090,124,948,091,924,
444,869,023,502,915,337,219,900,162,102,686,865,976,689,791,004,246,546,773,
787,649,311,436,895,100,606,280,600,757,607,843,912,092,442,389,913,118,010,
485,807,019,828,798,755,294,845,964,435,234,946,861,622,201,820,771,106,159,
489,938,734,113,679,131,783,352,810,200,123,031,414,135,159,422,994,701,295,
947,658,735,490,802,942,831,052,207,676,989,435,562,205,341,763,034,085,761,
712,063,437,544,712,914,339,716,365,125,838,828,200,824,157,226,254,142,292,
917,098,857,065,964,438,547,703,145,946,702,812,212,778,931,784,672,731,204,
603,173,755,527,250,901,391,971,973,450,357,370,037,438,856,910,071,378,609,
651,920,023,722,624,928,788,479,652,275,175,235,474,191,107,297,034,716,234,
458,853,814,134,495,045,604,258,353,177,910,939,226,141,944,746,634,192,390,
169,985,456,134,898,465,210,271,327,704,739,340,145,238,141,466,280,864,480,
346,414,619,428,179,950,144,555,300,274,420,106,325,060,388,165,685,539,168,
718,637,024,421,479,533,771,225,134,670,935,347,194,916,538,896,066,337,746,
501,410,423,460,442,774,422,945,678,563,421,853,465,533,369,918,157,155,007,
179,344,152,920,504,025,776,594,098,667,838,309,229,280,790,224,023,395,364,
817,526,472,806,669,550,804,874,438,146,367,604,005,304,858,449,285,525,839,
720,055,643,699,661,932,494,289,704,083,079,701,883,632,904,618,525,633,166,
467,848,940,747,909,244,202,523,705,478,257,983,429,006,001,647,213,948,239,
181,666,981,862,040,036,401,950,887,942,351,418,691,196,993,127,219,728,901,
176,341,666,032,597,724,325,884,089,971,991,885,462,251,487,574,890,024,551,
193,188,730,906,970,424,349,135,826,866,221,902,190,502,266,722,734,067,597,
811,393,128,175,656,765,955,430,966,935,663,472,723,855,133,916,195,919,325,
701,084,171,141,421,528,758,930,618,986,734,542,274,008,939,920,805,533,961,
047,249,533,757,798,274,428,957,185,459,386,010,548,553,961,423,519,148,841,
349,102,426,145,870,128,958,274,269,522,386,132,619,044,170,566,451,238,365,
462,983,334,209,630,211,098,150,329,026,787,849,024,988,168,868,703,601,972,
064,646,325,527,924,235,350,193,111,711,492,302,208,872,042,239,174,418,827,
409,767,222,086,311,741,644,713,649,439,949,146,192,963,102,716,322,984,043,
420,225,515,473,369,739,039,763,330,496,559,537,637,469,568,820,513,275,400,
289,880,809,093,082,151,281,734,933,102,286,698,988,696,810,420,522,546,189,
921,629,029,503,840,795,650,350,547,493,662,793,523,573,549,044,181,499,987,
799,445,112,561,280,065,367,712,615,836,717,498,926,934,129,214,961,864,296,
390,174,687,967,221,138,147,972,458,412,484,597,926,952,700,387,542,144,558,
473,236,191,005,692,425,912,550,745,884,425,544,070,142,558,497,821,614,652,
136,885,904,504,490,437,911,646,790,276,725,029,936,559,614,616,773,123,402,
680,669,544,532,996,797,410,438,355,501,335,755,812,232,531,136,565,712,673,
333,218,974,153,789,866,151,612,863,857,982,300,749,537,723,557,048,626,912,
476,909,231,433,033,401,281,473,491,664,788,498,410,331,757,294,721,713,170,
518,804,721,849,208,232,785,470,025,451,042,266,394,144,065,134,174,335,835,
077,056,056,522,097,055,728,165,903,534,797,983,109,018,828,191,054,941,390,
995,890,070,974,698,877,997,067,273,974,973,291,224,818,222,759,048,700,891,
417,143,093,724,873,320,051,818,573,862,293,553,830,212,650,750,369,365,572,
710,890,996,634,356,847,366,826,620,513,769,081,831,760,379,163,131,387,370,
663,572,447,309,829,436,037,926,896,831,673,773,637,898,598,736,846,917,596,
267,100,179,790,624,672,871,810,067,202,958,904,488,242,350,436,237,901,224,
913,452,061,368,801,754,401,632,581,679,689,497,718,535,419,963,240,080,433,
898,275,502,760,348,365,709,174,925,527,779,816,965,216,778,598,465,556,989,
029,279,544,053,934,537,554,101,991,213,544,601,331,763,112,359,729,169,670,
919,130,878,051,020,618,817,381,719,665,307,976,714,232,988,540,408,174,882,
657,029,015,686,619,335,640,363,588,240,876,169,525,250,382,211,740,829,404,
499,342,153,400,665,051,639,247,511,532,956,600,686,874,045,145,501,139,190,
291,860,266,954,434,671,419,162,413,154,102,424,162,068,892,447,011,551,707,
809,475,200,797,488,936,238,961,339,409,704,095,256,853,006,742,564,268,149,
034,552,422,577,962,543,825,540,340,973,458,187,132,766,017,122,199,266,055,
478,814,891,854,092,287,471,838,734,996,144,635,686,855,918,386,089,438,473,
212,196,514,185,361,852,854,211,126,123,535,765,456,964,039,966,255,616,456,
964,533,961,668,278,871,361,150,534,455,665,709,825,823,627,230,619,453,761,
588,750,723,821,383,296,824,124,528,961,481,836,909,742,093,577,061,018,457,
133,792,791,065,718,678,465,354,385,678,255,904,097,060,565,737,820,707,315,
728,170,492,732,321,166,549,254,998,669,435,315,964,147,173,046,942,010,938,
059,416,917,684,682,838,348,041,578,056,625,409,440,860,012,749,975,733,479,
516,821,970,375,067,268,063,014,344,103,760,363,533,287,819,166,223,186,011,
910,043,750,793,457,471,708,422,600,799,403,200,720,765,058,104,164,203,496,
053,627,741,186,820,213,152,471,755,294,162,592,473,877,377,798,711,841,955,
212,657,772,849,719,986,285,299,315,489,937,833,318,821,851,783,565,421,715,
196,797,770,302,772,040,648,303,855,739,698,223,844,703,629,577,201,617,938,
822,268,901,809,686,557,342,173,934,162,108,888,186,045,118,630,028,908,416,
238,306,312,517,291,319,015,865,117,725,209,580,123,575,695,771,963,031,957,
885,406,445,064,435,324,109,781,012,946,684,089,719,586,203,837,910,133,773,
902,022,918,097,544,350,523,829,028,511,747,719,130,882,145,809,270,819,599,
612,935,119,632,240,650,950,159,911,431,770,329,181,255,795,448,011,623,552,
206,581,429,900,922,032,489,731,827,078,352,752,108,355,103,007,959,132,603,
279,126,482,510,100,751,198,577,566,859,798,731,192,495,681,763,954,096,696,
155,600,149,688,459,033,952,568,335,716,854,355,422,857,972,995,862,723,500,
313,355,610,485,260,866,257,509,440,795,794,211,696,329,418,870,509,373,667,
065,732,867,705,178,578,654,068,228,657,925,807,298,018,912,139,267,937,732,
780,079,342,410,913,088,215,449,776,972,483,165,600,535,525,156,631,090,794,
678,705,135,566,896,291,035,629,479,637,589,436,632,238,569,901,885,989,616,
471,621,342,702,293,055,370,303,753,096,332,107,767,097,735,248,206,224,554,
806,019,199,085,367,311,559,191,030,015,596,870,133,973,387,633,690,623,632,
466,480,895,720,456,464,053,673,411,643,119,177,398,533,635,599,472,195,845,
217,609,594,412,553,340,541,508,067,646,339,301,375,485,606,017,160,360,882,
209,727,291,460,582,279,636,234,206,484,292,546,249,908,698,440,731,497,075,
726,895,667,907,568,650,799,242,306,031,166,960,466,808,760,671,275,672,676,
558,708,333,041,674,486,411,645,578,524,167,155,660,072,772,412,564,388,812,
786,525,631,010,792,987,580,492,794,493,939,302,985,073,381,113,205,431,565,
719,998,209,339,391,709,630,588,210,328,442,169,352,584,089,624,108,356,977,
121,133,747,033,601,921,523,110,974,046,475,474,073,409,270,097,252,988,950,
061,511,270,812,678,140,229,379,997,598,802,880,416,087,953,979,328,442,067,
634,339,685,434,031,229,429,177,694,846,138,606,385,967,455,811,675,082,607,
154,080,981,183,856,375,220,937,487,686,781,582,167,287,491,889,533,129,037,
356,413,398,662,393,843,374,715,751,006,578,812,946,675,146,550,750,589,128,
844,467,793,039,690,467,460,845,699,265,808,232,813,468,513,043,609,698,629,
762,033,929,781,372,332,971,552,978,514,328,887,778,278,063,294,349,748,530,
457,371,766,765,966,978,256,981,996,860,973,701,609,788,695,884,189,531,113,
385,605,655,341,141,844,488,238,041,637,799,858,802,035,573,971,119,333,174,
407,639,188,782,087,569,685,398,910,864,823,556,118,437,554,993,578,116,410,
558,846,641,592,077,367,640,795,338,537,467,137,960,862,373,061,326,654,334,
054,797,013,184,713,283,522,767,695,319,979,591,709,866,563,401,474,015,465,
629,211,059,200,159,968,437,129,289,320,621,140,138,605,079,275,920,920,510,
343,572,736,137,372,316,470,680,324,870,729,678,925,082,107,209,733,849,336,
892,706,263,461,480,253,276,631,818,726,052,737,268,980,752,538,795,031,005,
778,327,083,492,676,933,420,714,205,693,803,937,343,541,940,412,475,737,823,
160,988,904,073,939,330,639,823,931,658,881,463,706,144,580,827,828,380,664,
511,639,711,807,974,626,561,156,467,233,730,437,399,764,603,447,751,873,639,
786,579,783,021,061,414,811,420,742,167,345,101,658,783,956,185,953,734,452,
775,850,190,877,696,171,691,293,589,906,070,060,736,320,393,708,970,172,821,
706,400,449,441,600,331,716,536,482,096,467,857,341,927,642,182,178,139,540,
125,945,726,737,059,947,740,689,905,164,329,666,644,786,579,545,536,205,942,
876,992,498,939,993,641,768,043,763,028,323,882,762,066,455,706,874,892,768,
902,531,785,758,701,471,761,594,220,060,789,113,041,183,746,838,210,607,566,
361,601,570,529,897,025,124,808,919,936,106,390,556,356,944,569,118,271,246,
136,176,796,595,555,528,167,444,913,104,976,702,076,303,853,964,971,869,407,
400,727,274,322,333,124,170,375,471,784,665,782,920,668,327,328,265,058,672,
564,863,022,766,817,245,975,215,989,656,893,775,512,361,137,448,475,255,797,
486,198,829,491,282,215,609,270,556,452,528,233,751,783,653,904,506,588,045,
409,252,283,218,959,241,594,106,978,688,948,748,405,078,366,021,393,656,089,
554,383,714,715,627,362,704,589,242,482,339,539,457,309,458,032,025,133,112,
935,568,158,041,916,442,701,911,997,334,381,299,810,622,479,091,320,386,445,
749,872,881,358,853,477,153,653,511,577,625,144,983,066,531,579,275,667,536,
928,030,382,124,067,551,261,224,045,255,912,756,974,307,874,321,610,614,127,
604,247,905,746,785,405,571,728,981,298,783,972,183,195,989,377,022,793,673,
278,282,093,920,324,520,549,264,817,458,437,988,310,943,616,446,580,462,386,
268,360,393,802,736,729,434,992,995,397,911,265,188,149,243,141,380,407,424,
775,963,218,317,176,780,883,295,853,190,944,867,780,914,356,693,249,995,227,
028,647,427,211,884,412,054,141,480,348,261,007,168,054,760,740,177,086,199,
350,450,791,075,028,007,998,048,454,321,189,613,567,751,276,823,346,113,377,
342,186,543,345,171,599,206,421,302,581,745,816,143,637,681,019,696,334,497,
387,730,765,262,509,197,538,474,301,000,457,320,100,389,976,337,269,963,622,
650,305,420,495,048,147,293,660,620,487,728,750,910,905,553,902,671,474,267,
344,523,270,581,863,464,246,985,717,308,647,059,178,933,408,946,483,602,646,
874,922,090,186,122,670,067,895,734,899,848,452,816,496,932,548,822,459,265,
781,550,508,792,639,948,364,300,798,222,889,108,071,960,733,425,276,068,330,
172,377,824,560,524,846,650,928,509,697,690,539,959,783,541,695,590,991,487,
245,315,314,180,074,788,686,079,941,079,936,813,815,490,477,359,692,993,474,
299,650,505,272,576,442,622,676,661,619,507,079,469,190,331,102,702,086,445,
580,859,832,366,151,450,277,451,882,728,909,109,593,037,567,226,107,620,403,
976,616,488,942,527,371,827,928,649,240,820,066,493,558,262,152,818,409,678,
188,641,416,600,302,060,101,171,690,472,797,334,912,335,283,603,712,048,091,
873,244,190,166,051,325,504,505,269,313,507,294,146,385,639,518,840,939,586,
605,883,972,401,834,118,828,765,878,013,154,297,608,755,164,547,798,391,951,
081,838,869,512,113,502,484,104,854,433,534,390,192,998,175,328,918,977,337,
740,540,511,890,731,105,139,719,477,316,895,875,688,350,199,603,463,817,089,
609,731,337,033,740,329,226,069,890,990,913,430,160,823,510,616,835,814,616,
322,109,115,716,822,401,469,440,018,375,460,840,038,897,053,706,045,865,274,
221,640,665,523,570,583,855,166,793,564,273,086,284,068,626,698,324,546,384,
049,089,577,815,080,097,028,564,554,969,696,481,693,252,226,967,686,410,974,
204,367,681,925,452,941,926,840,635,990,745,080,477,607,991,054,102,364,126,
411,446,533,660,571,690,214,374,948,284,009,756,348,433,147,271,638,440,708,
043,963,445,135,676,373,154,393,093,031,433,615,486,086,975,389,101,647,526,
368,134,646,521,765,181,787,418,911,661,913,471,816,424,099,805,224,178,480,
082,716,467,161,210,008,835,914,942,293,971,831,461,316,612,122,053,924,396,
532,045,171,715,449,205,450,080,545,550,480,241,751,441,282,758,039,613,085,
792,334,534,402,410,125,819,350,560,723,465,943,698,153,678,863,719,332,330,
873,347,231,059,341,993,930,134,918,988,505,212,602,875,136,296,082,743,148,
529,970,488,529,638,781,369,807,824,309,335,671,617,064,686,432,871,339,434,
680,131,269,955,529,249,406,423,597,038,085,834,294,255,766,892,062,014,348,
188,175,160,928,723,241,107,988,537,796,784,871,366,540,268,312,368,572,158,
088,763,596,442,257,881,372,589,917,889,733,191,387,745,184,045,670,420,466,
259,523,100,882,064,498,642,114,794,770,269,259,176,313,542,831,213,720,564,
540,374,592,029,380,617,850,187,966,672,825,794,839,317,415,391,714,436,676,
970,488,164,935,485,853,235,441,874,446,460,604,475,523,231,732,780,743,346,
055,083,222,564,286,619,302,258,954,142,160,071,824,410,553,345,789,540,780,
814,425,893,678,808,528,379,809,074,672,077,224,909,376,538,242,182,957,440,
408,035,282,673,118,248,398,099,091,935,383,761,510,917,417,483,603,264,111,
741,337,878,033,329,715,403,349,006,439,248,362,982,573,234,704,117,620,967,
487,021,491,255,481,986,719,322,931,496,324,890,819,683,254,257,649,461,844,
403,444,421,798,529,720,760,834,824,339,756,970,929,181,752,186,492,588,049,
866,666,468,720,695,993,016,080,064,201,368,730,950,639,164,292,943,848,425,
973,702,971,270,855,620,820,575,225,688,075,734,892,490,152,744,403,508,524,
547,208,320,902,888,137,807,865,012,617,714,893,945,999,993,173,365,677,267,
965,849,472,800,187,405,423,597,572,409,044,316,018,550,680,258,119,541,772,
518,820,180,696,453,085,484,041,471,911,697,241,955,712,482,667,658,614,607,
366,268,594,638,929,631,390,869,491,022,352,785,544,279,659,555,926,262,711,
332,330,944,212,356,585,156,316,272,879,184,535,209,040,279,395,564,838,643,
305,269,473,371,056,530,731,337,510,655,360,189,759,977,584,332,377,364,451,
872,094,694,297,057,405,667,508,165,872,843,288,968,471,279,138,840,902,273,
300,449,355,576,854,418,339,139,100,916,607,367,479,481,217,182,415,216,314,
712,998,314,280,983,226,622,450,292,399,721,082,972,899,171,561,178,709,699,
419,163,939,868,252,866,257,378,528,905,002,380,229,923,472,889,563,168,329,
086,303,283,384,615,456,034,032,855,422,503,405,559,333,272,806,628,425,673,
030,996,372,973,565,330,630,695,622,872,821,159,275,414,708,252,626,125,552,
851,772,862,797,748,767,470,114,110,202,984,219,603,243,847,131,781,501,258,
733,655,435,838,716,274,029,669,471,155,278,931,008,900,080,136,300,894,893,
090,455,704,307,092,019,024,496,220,067,053,034,371,412,508,322,005,562,145,
290,771,363,309,048,066,801,115,741,457,441,750,355,887,221,820,097,935,746,
030,345,739,884,106,379,382,815,468,609,408,628,561,565,837,017,858,246,998,
270,262,674,386,619,093,442,910,357,874,451,735,166,464,948,421,430,404,981,
763,947,243,932,096,932,363,579,494,871,977,891,399,886,710,530,818,360,164,
833,534,495,811,495,576,520,853,957,944,823,651,408,805,039,519,558,863,460,
897,604,700,758,107,582,867,069,533,837,899,126,589,920,580,283,226,601,536,
909,170,003,070,265,892,853,029,295,579,095,527,096,000,451,613,439,013,695,
073,834,500,099,808,331,042,749,712,518,483,212,876,010,469,942,692,490,129,
356,399,998,270,913,680,542,896,502,917,546,595,162,439,787,282,838,030,769,
251,311,715,530,661,554,017,809,348,050,716,386,706,576,640,288,501,281,033,
704,702,879,758,625,656,771,685,771,022,547,599,529,910,926,397,492,641,677,
702,322,898,491,275,920,710,448,705,022,583,005,759,110,317,251,164,456,320,
042,695,197,177,707,803,135,215,188,435,949,572,304,467,703,264,720,828,068,
502,519,017,470,184,131,934,709,810,665,700,500,187,767,817,590,214,207,495,
789,907,641,895,785,608,521,889,447,262,539,932,787,235,565,910,217,476,085,
911,623,658,170,564,325,839,375,018,412,107,926,657,471,079,389,148,000,084,
315,428,056,122,162,232,582,117,851,018,662,655,245,714,498,682,939,269,722,
433,324,907,515,768,849,977,874,581,719,283,899,068,185,564,212,852,526,547,
534,921,008,286,669,698,837,574,242,805,656,666,383,342,953,411,748,531,607,
002,421,670,649,204,199,557,428,378,057,113,615,547,270,046,789,011,724,757,
408,521,622,795,318,544,405,896,247,985,476,030,430,227,353,629,941,360,516,
071,351,839,941,938,417,714,237,435,036,125,079,230,984,356,881,224,633,212,
390,840,395,161,048,655,466,370,315,352,797,326,937,191,732,585,065,081,902,
329,004,540,254,225,394,123,087,682,302,403,474,775,773,023,340,376,208,545,
325,592,157,408,480,477,521,404,552,007,536,535,134,206,661,999,365,645,145,
910,269,933,288,443,086,764,911,739,075,743,225,394,981,155,575,150,221,689,
733,080,013,044,202,009,229,118,983,990,242,357,334,788,067,313,088,433,263,
868,560,208,710,066,103,057,605,932,020,882,677,171,001,514,464,401,813,778,
631,969,997,646,670,436,702,676,134,593,106,417,046,809,604,670,136,801,497,
789,699,050,991,210,992,386,870,453,735,463,982,065,784,419,922,417,803,766,
748,105,915,747,113,921,408,839,403,770,932,079,907,443,138,123,081,566,621,
320,233,846,355,485,264,360,979,587,952,107,522,968,828,840,922,654,062,956,
736,383,238,126,276,491,020,087,162,010,134,369,447,076,148,515,961,579,426,
701,445,524,662,414,063,140,183,765,018,116,536,510,158,210,508,786,423,108,
706,081,604,889,885,422,067,370,607,345,208,874,310,097,597,887,327,741,803,
356,719,044,088,976,359,387,164,393,061,469,480,129,634,828,428,064,314,623,
603,234,990,701,861,222,561,181,951,767,049,062,500,289,578,701,375,888,091,
802,563,715,469,708,478,331,996,944,120,243,459,408,096,531,044,370,462,563,
141,720,765,651,363,583,651,499,184,846,788,215,766,367,188,724,583,853,706,
945,125,821,182,390,223,573,739,578,211,483,932,250,827,530,043,625,401,893,
887,433,447,933,208,652,877,097,624,662,403,051,849,471,264,796,355,501,572,
842,239,486,635,104,802,096,246,777,702,767,577,880,820,190,258,416,718,553,
298,131,311,775,714,260,207,057,654,066,233,379,033,956,249,458,869,392,440,
293,157,044,810,301,031,043,349,809,972,716,749,258,316,164,619,495,654,979,
334,749,626,589,554,282,455,012,100,444,978,036,496,457,333,106,678,116,318,
857,677,100,940,558,588,260,689,463,191,080,050,280,637,396,579,573,698,153,
401,055,213,827,239,633,887,427,760,596,931,089,829,514,291,714,025,685,010,
015,109,193,702,363,981,184,968,467,436,197,305,733,852,481,470,658,097,620,
048,396,554,454,495,939,823,770,404,672,578,803,908,812,731,739,614,524,724,
978,235,797,059,841,016,371,019,222,850,526,606,282,956,438,873,207,286,765,
129,691,577,779,042,319,781,098,423,112,000,961,819,436,572,554,799,129,247,
920,236,504,614,680,683,459,714,674,115,728,654,957,606,357,561,762,644,528,
296,713,058,112,746,077,886,553,791,898,277,510,978,260,855,387,126,864,456,
259,793,657,270,804,091,499,386,412,032,858,869,018,368,032,884,913,658,273,
214,310,830,588,492,183,133,355,018,039,326,330,271,584,944,707,610,972,602,
451,398,984,583,087,468,899,408,953,004,092,434,511,377,377,769,904,304,246,
713,527,982,612,112,337,979,084,132,943,147,276,960,724,817,905,045,889,540,
227,725,434,366,879,132,377,080,399,396,133,961,329,814,681,094,886,732,954,
559,621,504,019,256,651,118,428,861,497,301,413,001,483,528,939,928,990,114,
633,323,548,617,340,421,336,703,836,184,792,943,490,101,978,497,620,668,394,
658,817,497,367,643,727,928,296,154,285,674,260,915,817,438,360,648,727,796,
996,497,834,180,761,551,082,315,205,326,738,834,598,314,424,460,156,571,416,
420,225,496,859,527,584,184,416,162,995,858,622,723,052,077,690,403,217,353,
274,830,743,813,464,941,123,807,467,748,562,541,367,862,556,199,002,591,478,
106,965,064,942,616,438,350,835,114,895,395,577,923,530,736,519,310,801,226,
846,118,419,333,613,166,660,160,271,051,410,191,550,344,166,968,282,737,331,
689,178,590,441,946,207,437,520,701,299,099,889,739,363,925,742,970,688,669,
682,739,850,716,499,799,534,846,844,569,485,330,510,373,387,917,320,622,064,
999,455,810,071,474,464,059,653,985,337,855,408,777,502,433,707,650,167,168,
851,198,684,720,343,570,992,549,478,476,633,958,937,584,052,247,769,825,429,
356,375,279,568,879,538,025,379,601,919,890,961,657,689,223,452,871,572,345,
671,302,142,451,456,840,310,938,720,625,744,922,389,416,907,655,707,229,889,
325,931,406,970,198,810,974,445,570,923,903,381,033,826,386,475,450,087,680,
856,808,675,739,353,273,906,637,172,968,343,650,165,406,058,247,644,646,458,
637,609,494,013,978,584,116,749,729,294,761,812,371,458,664,554,179,725,204,
412,707,455,457,748,858,939,448,245,665,981,703,898,489,138,883,847,514,617,
891,197,838,454,516,618,900,120,653,151,664,139,797,082,247,824,651,390,085,
543,746,191,195,649,092,720,270,298,321,591,135,156,293,056,144,830,071,671,
243,731,711,936,305,848,888,395,694,655,908,860,958,346,400,311,953,749,955,
307,644,419,797,115,798,955,467,756,636,013,232,269,687,945,994,281,891,046,
248,086,193,870,106,912,179,776,853,643,033,973,600,666,437,075,220,767,179,
350,509,417,820,521,126,864,185,987,733,354,637,146,249,379,570,627,088,943,
049,396,418,907,114,891,575,031,398,409,791,863,012,550,779,193,279,055,785,
807,915,414,459,227,754,588,664,579,339,904,281,742,960,231,771,486,409,206,
643,694,900,030,692,704,116,025,143,429,098,515,084,563,267,074,497,042,382,
509,038,733,916,731,439,063,031,051,725,349,593,038,269,420,327,794,409,955,
528,570,771,261,436,409,822,197,507,814,705,282,443,866,058,660,415,571,751,
198,300,071,257,849,897,377,658,026,703,521,544,287,108,998,295,622,149,181,
173,249,052,951,691,062,911,236,176,470,368,172,953,981,886,006,459,885,867,
274,960,177,683,510,208,678,764,580,675,046,338,582,014,181,715,291,068,391,
326,764,754,464,562,505,103,148,021,388,662,726,416,251,366,110,569,324,147,
699,671,955,601,953,647,798,191,857,775,283,403,389,819,343,488,832,841,136,
716,894,482,036,638,475,348,776,731,344,832,108,042,088,598,340,363,719,300,
771,247,695,542,072,971,125,921,821,710,642,227,633,467,295,917,212,397,338,
567,710,131,065,542,650,448,459,092,477,526,975,667,139,819,371,085,393,179,
734,260,877,703,708,086,901,364,752,916,982,358,278,627,740,311,864,723,585,
337,885,764,829,903,024,892,547,069,558,716,822,768,364,804,519,793,666,677,
015,387,804,360,606,468,841,571,655,278,277,402,092,263,014,264,618,119,603,
874,724,738,189,136,289,570,727,120,867,484,613,378,548,891,136,482,358,549,
637,452,217,224,597,820,757,597,984,432,803,914,735,843,059,467,949,564,242,
485,166,669,917,686,561,083,248,993,698,083,362,454,645,836,851,286,797,232,
303,380,995,353,754,027,597,514,708,917,103,547,999,729,015,171,698,982,141,
028,673,037,253,345,894,915,007,324,946,256,654,851,594,366,935,951,875,059,
569,932,425,108,330,636,581,435,296,645,270,025,163,137,718,820,474,692,177,
538,234,683,947,203,852,059,670,070,824,358,060,637,749,309,043,822,132,409,
168,813,225,342,621,387,042,167,930,844,980,201,095,498,919,230,461,870,296,
713,962,391,767,416,368,361,025,483,416,108,830,600,872,178,859,278,472,685,
298,221,506,104,756,681,847,922,135,519,510,683,627,546,915,478,770,776,584,
626,163,024,767,680,372,201,393,677,765,429,068,434,858,607,891,661,139,710,
753,408,048,389,865,815,093,128,265,791,534,577,809,134,621,151,460,645,925,
356,897,192,124,073,482,863,399,361,455,285,848,905,529,916,277,085,415,402,
851,913,884,499,350,304,567,100,460,595,678,744,754,634,387,563,826,364,740,
064,716,995,873,276,306,805,010,467,891,581,869,814,843,007,550,759,914,433,
812,999,647,454,220,579,170,659,672,795,250,766,949,686,728,245,437,474,986,
341,869,046,953,270,199,966,037,640,295,736,778,426,171,925,364,320,010,769,
192,086,967,747,280,259,721,439,766,407,323,802,547,176,213,941,138,302,470,
268,768,256,073,087,594,153,174,152,957,357,552,325,282,034,347,586,884,869,
648,411,443,834,978,366,707,802,924,571,798,532,903,951,135,904,031,345,724,
975,832,595,954,256,882,652,208,240,781,466,955,461,364,840,604,848,621,831,
458,211,082,360,978,923,039,318,957,698,442,909,057,369,824,204,512,906,336,
225,917,713,040,782,108,957,514,114,714,073,703,918,789,602,538,679,375,901,
786,137,169,702,830,156,515,257,475,374,667,792,914,440,371,206,914,460,676,
446,962,044,377,380,995,911,583,676,080,105,966,400,738,999,879,123,670,058,
773,474,878,735,900,736,595,967,357,170,717,789,756,106,731,947,073,036,736,
892,817,439,456,018,580,607,683,462,201,583,542,255,039,777,817,396,416,869,
702,580,627,307,602,325,297,403,909,856,387,082,995,703,343,977,110,581,434,
332,799,338,706,393,240,591,503,125,781,314,029,152,960,762,575,296,138,779,
199,097,374,778,371,315,950,146,140,214,995,005,991,321,031,857,079,139,195,
426,113,373,096,490,132,784,572,330,025,339,617,736,391,458,451,426,120,792,
515,242,756,110,999,768,793,377,787,928,595,082,343,236,030,177,389,887,732,
558,991,883,430,553,182,510,581,332,475,368,954,769,916,674,266,996,316,801,
776,190,031,825,264,008,441,585,899,234,926,816,519,570,765,223,048,895,938,
118,554,099,391,956,612,778,449,105,628,712,137,119,506,063,468,791,870,672,
996,697,215,222,699,021,464,791,667,113,966,096,517,795,939,746,135,816,995,
455,080,210,005,812,978,642,752,933,299,171,993,874,520,983,181,350,137,684,
601,329,349,144,398,114,939,496,597,332,700,053,754,762,993,668,430,235,289,
023,425,338,010,193,294,844,757,753,517,341,563,221,759,912,799,741,477,813,
555,723,797,940,023,603,740,042,762,283,576,585,007,366,010,527,014,605,785,
850,260,171,920,430,121,943,943,837,149,942,065,739,515,006,149,439,079,464,
005,232,136,629,234,290,037,274,124,450,895,161,568,159,211,714,026,505,540,
254,505,381,816,685,245,936,592,741,133,256,122,419,008,078,664,085,148,255,
929,472,194,690,118,880,915,153,552,574,183,022,606,094,658,651,136,600,477,
474,181,944,526,917,761,515,381,312,632,235,459,984,717,143,740,398,322,661,
439,367,672,934,539,574,887,855,519,306,278,563,312,687,261,032,114,115,199,
947,446,937,989,228,873,433,130,096,324,492,696,126,970,516,589,615,757,712,
363,799,261,823,715,358,887,305,781,639,602,909,401,565,078,064,224,878,107,
645,099,517,290,741,170,378,373,437,461,658,428,740,030,338,954,808,835,505,
423,647,264,601,730,777,398,237,190,763,642,763,376,026,068,398,510,688,308,
906,657,317,648,024,203,299,225,830,306,326,687,960,187,043,035,353,445,090,
915,047,307,619,043,680,792,174,933,807,634,977,720,189,183,747,113,535,291,
499,116,894,563,011,051,307,275,914,449,894,445,444,042,310,025,427,008,062,
636,784,449,353,736,551,261,087,908,451,514,008,025,760,068,862,673,870,683,
511,465,649,227,863,298,572,029,371,324,923,133,180,204,833,629,009,357,378,
333,647,390,533,029,734,349,996,835,124,241,479,280,716,109,780,224,172,821,
070,344,938,327,343,486,788,344,179,491,503,258,784,242,765,233,679,705,478,
201,015,526,429,489,939,954,929,970,702,634,175,406,833,778,257,465,648,189,
604,847,908,843,566,377,047,308,035,347,684,578,848,373,452,538,338,925,932,
545,856,633,103,744,558,284,804,022,720,893,125,407,858,219,411,724,617,276,
077,894,053,813,680,657,264,847,646,579,663,695,978,847,380,271,367,396,909,
681,165,196,903,435,936,222,245,947,557,227,115,549,392,482,373,406,295,866,
225,337,428,535,419,267,632,188,323,661,372,775,516,333,831,333,235,808,658,
886,318,221,037,300,321,093,754,168,614,012,661,257,223,456,732,114,941,851,
726,474,460,684,998,782,162,272,229,044,827,767,447,101,256,113,812,965,903,
853,974,604,417,623,322,244,542,269,407,409,891,706,554,492,796,581,523,515,
055,303,509,450,415,178,181,043,011,991,236,634,498,613,163,789,604,328,278,
686,081,104,352,762,323,897,426,634,828,860,678,697,198,839,390,160,801,551,
019,313,633,229,756,019,064,069,058,245,885,532,539,946,515,500,823,548,011,
765,035,919,557,778,100,585,725,306,436,752,622,094,439,704,989,723,457,642,
585,815,119,519,410,845,827,632,271,383,867,578,543,046,061,895,491,787,409,
925,586,427,927,280,196,088,383,529,461,084,630,192,351,633,699,207,349,500,
218,297,472,648,294,518,361,189,028,232,366,311,581,637,729,984,475,278,675,
292,470,007,427,339,258,239,553,702,723,452,117,753,965,459,930,059,941,861,
724,515,866,580,143,824,134,350,089,267,791,374,814,772,150,215,095,536,811,
131,426,013,489,789,578,395,084,594,092,380,217,835,653,653,449,637,926,530,
147,234,420,061,161,917,718,335,531,535,315,262,543,954,872,908,614,629,365,
810,091,178,111,347,986,050,532,960,715,672,144,241,621,115,428,531,305,267,
076,354,807,958,968,193,892,689,253,205,325,280,895,187,892,772,830,364,946,
498,889,266,470,704,655,515,371,614,431,843,882,540,553,085,143,058,741,683,
676,989,908,823,850,957,908,410,357,961,633,333,625,256,245,960,386,806,587,
276,516,984,720,319,648,489,486,269,532,515,100,699,927,693,677,485,446,733,
468,699,534,837,274,365,235,844,184,490,917,773,568,563,551,001,796,484,843,
873,181,320,546,265,161,300,097,614,432,354,844,282,655,636,908,143,882,732,
039,635,274,016,680,533,622,753,213,144,972,672,934,910,000,477,668,704,028,
010,300,959,742,878,796,526,963,025,385,082,602,707,472,811,802,760,440,698,
491,580,988,386,585,101,995,989,116,728,021,601,093,400,648,954,060,644,723,
121,124,989,403,613,404,831,792,365,800,130,987,964,716,121,383,470,545,864,
159,517,595,055,991,681,457,002,648,108,050,447,927,992,990,515,223,211,993,
415,313,438,343,436,546,048,190,343,156,896,800,075,469,880,172,760,307,698,
679,249,422,503,162,640,682,911,078,435,148,124,753,141,410,105,094,004,362,
130,293,031,725,634,730,345,164,700,111,320,797,690,588,931,963,709,732,308,
355,702,758,188,052,783,863,139,029,349,159,829,633,217,932,352,358,206,974,
294,874,363,686,185,149,850,523,104,803,778,953,324,177,921,449,697,368,804,
663,823,740,085,998,628,564,855,755,463,904,636,165,091,442,118,661,406,609,
935,068,926,402,948,515,598,591,892,023,326,299,440,241,686,362,720,903,863,
836,004,916,737,866,394,952,119,750,995,092,308,540,778,593,647,504,080,618,
094,156,678,323,684,973,543,984,857,142,416,118,281,621,519,161,012,252,756,
365,046,026,330,388,142,354,090,116,608,705,438,548,814,069,213,760,113,555,
756,779,555,521,146,447,863,365,749,653,108,134,878,726,920,078,074,776,718,
680,281,365,850,785,192,366,150,079,062,509,864,997,446,443,520,794,282,533,
465,950,701,521,019,833,813,082,147,327,770,076,597,699,513,455,158,574,996,
651,223,051,834,489,481,950,884,843,397,153,421,300,669,486,245,545,200,876,
412,661,923,968,338,724,436,759,921,931,235,408,375,833,359,025,792,994,986,
856,156,976,031,310,422,164,771,677,658,909,171,210,941,992,973,266,999,241,
664,880,468,786,787,116,989,656,114,504,368,150,353,078,524,940,087,821,094,
389,765,900,321,890,760,342,220,300,074,528,889,999,901,675,224,968,411,499,
385,045,555,904,469,474,704,331,073,199,042,992,840,140,799,178,319,212,673,
337,031,574,764,574,060,842,880,650,856,297,210,262,902,805,454,076,863,598,
591,208,276,712,809,666,446,691,262,555,472,277,437,690,616,816,705,886,057,
367,872,488,734,931,639,302,172,192,183,808,323,752,596,291,653,806,848,448,
150,142,414,952,505,091,862,073,673,779,244,271,047,361,354,205,865,771,506,
895,342,077,817,014,828,943,460,001,097,065,339,892,705,372,626,916,018,194,
693,402,889,329,390,566,327,658,726,152,677,448,381,429,987,998,503,851,120,
754,831,725,372,740,127,799,477,906,686,786,624,322,750,166,114,232,672,022,
404,746,606,073,886,941,787,407,715,189,855,327,324,355,736,900,783,971,279,
569,506,879,913,204,870,483,868,573,916,119,616,843,760,157,485,785,577,755,
481,849,647,327,077,577,878,405,064,907,145,510,992,345,362,662,451,730,940,
345,666,495,901,907,099,758,573,828,439,373,632,127,237,389,153,203,124,215,
435,738,461,089,993,329,241,977,932,459,607,084,762,352,525,313,727,038,786,
091,378,485,482,316,035,308,011,550,667,120,128,504,708,987,598,081,959,831,
863,995,165,518,282,972,052,188,129,165,033,782,650,287,705,161,581,746,816,
072,530,562,732,122,040,638,971,258,120,879,904,190,486,945,238,224,345,392,
125,088,878,650,248,250,544,649,452,838,328,255,855,273,949,177,382,542,736,
632,901,899,671,520,745,315,648,827,747,228,498,021,291,287,916,760,375,808,
079,879,203,615,188,730,599,510,138,823,919,997,878,168,869,871,976,096,506,
468,017,587,902,108,822,005,591,651,372,605,635,410,771,090,175,350,470,030,
513,694,887,524,988,811,243,791,948,834,430,799,948,268,384,492,103,613,858,
766,627,440,808,354,324,303,341,189,734,547,310,660,045,141,149,242,593,073,
129,258,752,964,952,019,475,182,645,228,923,070,827,422,356,642,367,826,400,
752,835,293,858,088,616,206,512,680,694,112,503,510,406,217,056,640,465,911,
137,676,975,253,771,075,374,514,273,673,995,928,048,275,856,542,203,051,413,
163,274,158,095,726,103,576,667,152,971,009,166,402,219,248,714,837,762,821,
529,128,971,571,477,248,505,469,716,757,893,894,039,285,468,533,616,879,627,
434,777,409,172,161,279,731,406,535,551,596,288,354,033,682,811,050,948,192,
699,836,563,849,427,239,882,607,116,280,897,883,644,854,204,197,599,233,685,
804,557,397,467,315,072,731,792,471,185,423,345,226,616,080,024,870,375,292,
811,463,445,356,163,138,351,184,104,681,101,477,050,689,201,774,952,231,388,
614,094,989,089,217,293,446,666,037,098,271,061,083,376,214,982,604,280,590,
286,442,321,334,563,146,491,549,162,873,963,654,599,404,667,042,732,819,856,
882,855,916,782,101,444,730,088,275,878,815,833,123,111,064,468,148,159,399,
163,599,949,573,245,121,830,578,696,946,336,452,058,102,778,686,539,893,696,
301,743,307,278,521,147,234,922,438,101,170,447,646,107,486,440,930,296,088,
065,520,165,702,973,965,934,192,280,132,954,602,648,594,799,185,766,142,722,
410,043,049,050,002,982,389,840,030,096,660,025,228,027,031,275,822,875,967,
298,733,744,115,380,259,414,255,286,215,840,150,784,065,274,656,680,213,711,
195,811,402,952,534,655,785,178,184,291,553,655,106,695,651,458,443,526,352,
590,486,470,462,042,893,511,218,246,500,233,262,971,987,708,739,027,791,941,
445,432,738,352,204,431,759,436,546,606,904,944,066,048,691,715,345,766,459,
579,027,687,319,964,052,066,277,335,104,535,380,619,668,715,146,711,696,641,
905,209,343,432,109,591,612,770,589,540,873,058,634,541,421,243,005,137,658,
111,692,292,203,281,379,066,790,586,313,911,660,354,224,905,901,537,004,506,
755,709,948,558,140,893,647,660,865,266,684,194,968,998,893,686,693,600,221,
826,441,780,118,229,275,758,938,959,604,388,478,900,378,972,361,644,337,786,
892,402,564,061,506,781,907,144,402,936,210,675,514,737,980,364,697,793,645,
708,914,785,760,675,511,052,603,801,121,914,041,186,762,145,790,881,558,694,
968,944,403,849,095,708,860,394,952,848,999,454,603,396,465,561,901,623,287,
695,684,255,645,651,800,109,152,540,978,327,359,510,204,959,655,728,457,812,
828,834,673,865,690,111,960,976,475,765,670,806,291,671,703,192,399,668,342,
705,781,597,650,128,355,359,392,565,551,101,058,859,015,979,341,191,545,956,
103,250,300,415,630,910,731,555,311,292,723,435,208,578,514,020,366,403,581,
224,181,464,217,520,554,119,229,537,108,523,471,380,519,621,013,728,116,028,
039,527,250,944,919,744,423,890,594,312,577,830,020,571,381,893,787,982,269,
815,665,069,866,580,952,722,914,865,449,861,097,947,171,608,378,789,517,532,
195,956,456,504,430,767,085,040,008,593,648,552,180,394,573,287,591,993,832,
168,509,947,572,867,983,169,572,749,558,809,471,688,446,893,281,151,366,334,
589,257,220,006,229,379,982,882,256,921,753,536,200,691,556,612,428,825,806,
769,151,441,636,199,660,402,699,666,296,656,675,479,657,340,144,655,133,299,
976,712,458,789,695,543,162,494,818,771,875,888,842,438,060,581,804,697,406,
650,033,692,585,118,690,351,307,257,191,211,008,101,528,780,386,088,318,129,
347,511,272,294,157,079,817,478,976,601,472,247,356,765,943,767,004,808,739,
691,888,758,176,546,961,287,389,024,820,922,470,183,507,526,939,351,925,163,
529,246,647,933,813,952,190,585,614,714,777,750,066,730,413,344,928,836,284,
799,022,018,385,053,481,637,555,601,975,733,272,499,501,917,538,476,692,329,
516,302,949,464,494,174,027,191,526,802,065,122,872,859,509,106,799,206,410,
642,002,608,439,094,024,429,306,874,348,833,419,567,177,370,001,483,468,919,
311,547,142,531,617,160,943,531,384,267,395,655,040,201,750,695,321,604,777,
253,704,727,601,777,698,130,122,607,009,658,224,527,315,641,678,273,976,581,
167,826,613,999,609,205,623,006,454,940,414,817,907,141,297,877,913,119,600,
775,066,171,715,048,181,069,866,201,910,179,196,290,112,211,963,783,056,553,
426,217,251,623,396,846,011,608,520,960,515,014,796,326,028,144,780,452,260,
478,964,057,201,696,043,926,606,739,852,177,444,135,073,002,595,349,439,260,
989,974,041,362,043,179,380,389,877,291,785,578,052,580,237,438,276,202,276,
789,212,150,096,152,644,476,462,892,927,655,882,666,896,937,301,155,153,907,
521,222,113,115,161,816,951,994,849,774,067,797,621,553,375,322,138,310,652,
820,754,631,003,262,669,744,626,212,347,391,362,107,293,196,791,459,393,283,
563,000,129,396,995,634,785,998,924,011,704,034,484,741,246,073,829,284,913,
618,073,482,331,649,550,773,538,894,585,662,070,984,741,937,662,269,360,606,
994,905,028,591,985,139,469,191,394,363,081,481,980,609,082,648,379,721,569,
473,343,770,716,151,829,714,282,184,811,433,408,366,102,033,268,207,206,837,
722,220,848,698,558,584,092,850,148,917,866,529,684,725,172,108,373,447,556,
425,543,785,681,535,623,438,214,001,063,394,352,693,167,409,781,222,626,812,
455,694,935,543,964,798,920,784,146,645,400,713,743,874,828,526,781,873,864,
083,292,508,764,120,790,618,588,084,702,258,111,453,264,567,937,083,469,082,
352,488,545,397,500,190,910,955,708,735,625,046,284,786,794,254,424,473,707,
678,007,949,413,590,845,592,133,944,874,035,828,499,929,185,708,935,540,367,
627,035,433,775,360,832,422,735,882,006,972,937,374,601,701,396,624,901,894,
268,698,917,603,934,510,941,682,777,262,349,322,863,005,084,400,793,992,928,
433,815,677,553,211,327,902,129,412,569,931,701,737,571,486,909,313,196,706,
224,208,237,966,007,718,347,527,292,415,338,578,279,185,116,201,442,545,431,
502,721,871,797,376,593,032,699,256,938,546,771,488,737,434,522,369,818,332,
908,383,576,783,782,166,127,014,785,461,896,042,433,903,942,422,903,720,638,
023,307,421,733,431,398,377,697,728,794,939,921,490,007,206,016,547,997,277,
554,482,310,982,365,563,036,643,736,479,372,526,724,443,680,247,997,061,826,
030,683,975,081,110,785,582,138,113,954,481,110,947,928,602,601,428,448,575,
506,639,466,716,490,177,073,209,901,784,774,524,446,457,375,994,730,712,043,
342,264,451,058,132,409,751,786,571,078,167,516,090,628,649,780,572,406,362,
129,533,036,946,031,056,118,234,975,166,577,779,474,901,211,840,750,216,687,
882,986,962,103,433,421,586,886,261,861,627,967,935,404,921,352,228,636,683,
117,535,760,058,742,241,295,973,439,655,340,194,730,126,314,004,727,665,212,
638,234,365,762,263,955,879,620,149,594,363,677,647,328,280,934,649,790,927,
431,589,566,207,732,184,451,327,789,045,045,062,695,082,570,518,052,552,851,
939,132,256,177,656,139,620,386,814,817,222,369,154,804,921,948,277,307,100,
851,470,778,755,169,143,061,808,495,472,427,552,109,408,064,600,927,723,852,
738,333,282,453,121,114,423,087,405,996,968,231,849,433,603,745,405,261,615,
535,679,068,429,249,890,736,279,633,692,706,579,903,724,733,255,883,787,794,
173,816,714,556,823,929,937,827,065,849,500,949,439,405,335,571,974,987,777,
130,508,657,618,622,192,034,523,064,510,926,857,105,860,591,943,564,991,065,
463,814,679,355,791,190,732,661,519,574,993,152,692,349,403,517,936,249,329,
975,342,541,589,041,256,831,451,898,099,004,196,874,147,591,295,626,356,504,
895,068,930,167,293,757,945,531,821,529,947,076,084,325,991,668,340,404,311,
183,149,779,934,427,999,794,309,666,810,029,500,614,085,489,246,621,634,350,
794,754,732,104,953,831,802,827,949,305,155,935,063,170,180,864,795,077,654,
796,295,073,861,884,728,933,181,116,338,360,751,174,343,962,765,434,860,143,
530,353,405,803,388,126,035,064,064,374,898,395,257,249,288,638,773,757,661,
375,622,748,253,263,689,205,956,497,589,430,884,089,839,522,772,476,423,694,
388,511,437,773,946,517,929,719,004,066,320,377,855,747,309,805,775,591,527,
116,100,153,309,774,624,977,797,236,276,641,218,975,897,257,843,537,994,115,
066,121,703,070,849,286,845,370,518,860,455,877,138,384,319,361,076,927,916,
242,023,563,297,425,019,307,763,535,434,118,116,049,992,736,158,900,609,658,
477,532,649,276,191,955,067,237,935,108,295,030,297,330,948,468,333,315,888,
589,957,991,425,485,628,099,522,717,298,847,766,939,054,096,328,134,979,123,
194,020,180,162,546,607,566,676,352,363,331,348,743,599,255,949,668,342,433,
806,966,210,957,324,331,192,039,953,216,067,917,174,690,082,572,150,099,759,
478,808,367,571,870,443,055,161,299,453,532,454,426,880,677,988,854,074,928,
630,215,364,309,192,168,854,492,102,977,024,024,479,666,802,886,872,695,353,
238,656,565,270,566,540,128,535,460,703,982,172,966,065,747,746,314,072,259,
271,692,269,413,390,466,439,442,611,707,186,027,727,209,271,928,723,788,173,
046,217,772,743,281,054,481,496,367,516,254,533,813,973,581,821,692,027,665,
942,082,516,391,059,579,788,687,983,463,412,118,569,348,281,308,080,417,478,
125,746,584,451,525,199,645,317,460,486,414,584,018,428,864,826,322,341,319,
709,985,035,357,647,604,554,442,037,825,474,719,052,415,220,976,847,795,025,
836,876,407,556,970,161,010,511,593,596,486,466,088,967,025,733,726,745,733,
119,669,753,745,241,867,481,460,533,805,825,398,261,201,182,952,010,083,651,
577,046,529,971,233,207,283,361,058,847,185,599,038,616,424,440,511,444,000,
822,826,361,844,871,783,098,956,973,469,217,650,242,876,733,802,774,280,367,
332,918,672,602,259,792,506,750,197,860,024,474,215,631,815,943,718,758,985,
355,077,045,030,561,974,873,704,639,639,586,948,207,933,397,837,952,901,224,
966,902,364,474,368,998,685,952,520,730,315,946,842,259,011,351,625,274,361,
922,123,478,397,381,220,876,487,743,401,168,802,532,349,211,947,565,087,178,
892,956,454,363,620,897,264,954,114,882,906,953,847,705,004,998,897,345,365,
904,454,665,907,856,351,703,446,251,004,844,395,574,930,426,240,372,439,104,
156,443,788,475,909,773,819,631,241,963,691,764,633,446,025,727,562,874,478,
799,037,603,351,347,942,858,124,999,134,056,981,739,561,466,951,875,334,959,
741,081,868,311,951,434,910,986,279,085,886,836,639,594,000,865,845,577,419,
739,462,706,155,016,617,568,682,211,975,167,494,912,263,826,951,366,557,538,
692,991,603,678,106,577,730,092,361,500,454,366,222,251,269,176,707,918,983,
904,644,123,028,627,686,584,624,966,094,096,276,213,709,098,675,093,482,425,
273,270,425,939,531,735,705,452,864,384,639,275,686,688,308,739,716,193,337,
520,900,750,047,298,653,214,896,259,017,106,608,170,220,895,993,402,503,654,
843,946,112,938,978,006,679,351,081,880,488,931,630,701,879,827,442,969,736,
791,921,905,511,931,982,710,365,104,469,912,712,634,898,048,331,289,881,600,
455,723,602,592,248,073,936,936,337,446,193,414,996,250,920,801,418,322,449,
389,067,867,163,539,999,053,141,995,376,529,656,761,344,486,448,942,891,954,
098,493,833,391,551,022,502,658,105,649,085,897,260,565,503,674,331,993,714,
429,011,909,611,850,892,682,136,572,372,646,142,922,508,293,297,520,303,996,
421,911,755,715,810,360,072,828,888,897,029,667,365,006,063,700,462,818,730,
841,169,231,579,591,993,626,799,552,915,043,737,597,903,231,294,401,649,977,
726,264,496,043,455,779,566,054,147,757,806,750,637,910,289,864,795,601,083,
666,936,975,966,932,959,568,673,968,308,600,123,359,850,976,063,034,574,646,
447,498,287,968,708,228,215,411,605,285,238,719,504,573,998,433,770,650,281,
041,583,263,572,955,807,828,496,164,822,184,533,761,062,029,902,905,236,947,
388,260,722,563,701,568,898,432,962,298,212,674,705,673,220,544,033,404,784,
879,282,940,114,594,063,781,397,387,668,108,034,857,025,282,690,596,701,005,
697,373,881,765,358,369,878,601,054,793,680,674,599,955,164,754,639,109,749,
328,333,860,715,974,680,552,072,364,461,930,937,828,041,434,577,712,002,313,
058,982,045,770,687,338,691,786,225,236,359,140,643,943,036,443,913,445,958,
909,074,520,811,153,147,603,348,570,932,114,805,560,953,487,120,076,444,716,
779,851,892,791,092,166,809,811,756,563,470,064,216,061,556,992,925,761,016,
744,674,619,779,306,016,958,173,147,887,675,334,844,375,016,303,088,081,421,
564,920,272,051,036,360,364,710,978,091,070,679,580,045,563,725,683,943,686,
252,290,979,837,788,054,422,753,757,530,697,552,656,054,508,385,434,641,704,
152,135,826,424,653,360,504,287,976,917,677,158,565,151,335,521,214,824,003,
887,923,045,286,419,406,117,387,151,495,708,533,399,042,818,013,129,623,400,
538,050,305,425,433,937,314,976,267,774,394,335,204,930,681,114,311,252,290,
860,583,698,803,145,472,307,562,541,639,028,873,004,825,331,705,785,418,477,
826,342,151,043,452,959,625,517,551,453,595,430,595,225,472,921,060,542,577,
167,671,851,364,602,831,500,112,718,742,577,366,915,502,978,900,968,238,404,
681,661,013,483,663,451,971,488,978,207,979,188,088,311,132,547,627,015,959,
436,881,234,292,369,592,698,271,572,893,979,701,914,878,060,303,923,790,016,
192,041,418,953,484,312,791,828,727,784,009,154,596,523,312,111,227,744,600,
654,516,575,670,212,501,415,049,378,658,688,087,502,733,491,561,317,891,634,
899,763,879,355,431,189,514,756,685,515,703,451,963,784,256,434,881,952,061,
503,548,697,586,610,481,535,877,361,730,014,164,653,450,167,896,073,683,682,
881,005,074,896,090,833,857,149,258,703,959,742,432,254,052,306,822,009,101,
470,944,489,130,748,433,111,052,531,224,566,649,146,111,871,952,588,655,932,
527,670,020,498,336,389,256,899,468,157,459,250,660,836,718,954,323,946,131,
246,003,630,279,349,451,991,432,871,824,473,405,398,745,945,284,398,292,629,
785,385,614,932,782,497,006,326,419,082,462,280,753,584,519,235,759,266,795,
212,938,377,669,410,400,756,119,919,949,462,395,057,076,395,513,059,181,137,
953,941,586,579,194,975,353,950,349,769,014,174,502,107,242,456,124,898,430,
394,189,709,414,446,726,892,105,467,951,351,983,957,870,034,297,142,634,775,
214,547,698,429,288,380,932,336,920,969,464,866,961,124,721,874,977,155,189,
195,402,864,940,973,822,425,833,324,744,424,371,981,430,637,112,137,608,165,
110,887,783,684,937,209,785,431,395,287,932,348,893,408,446,765,079,235,466,
548,130,418,566,940,614,760,892,891,490,633,892,150,252,183,179,534,811,293,
735,017,058,827,001,270,371,823,442,249,053,494,152,537,463,389,302,432,089,
628,669,173,145,869,702,279,657,562,843,215,733,877,230,253,451,804,808,685,
743,180,684,488,418,021,249,080,716,936,061,004,758,473,999,126,327,175,388,
693,814,945,219,734,954,235,649,155,182,154,819,119,376,675,513,852,390,994,
954,782,274,597,315,725,285,954,180,320,518,931,928,760,977,595,311,003,575,
285,934,705,764,205,697,939,282,142,888,300,161,524,397,877,095,063,268,964,
159,293,973,514,810,589,750,118,942,567,696,504,467,853,900,251,883,169,728,
997,770,274,230,612,907,326,817,956,348,923,187,717,268,920,307,550,808,740,
457,682,134,175,984,117,820,394,699,662,185,806,791,968,817,640,352,487,312,
442,143,651,718,928,080,762,808,506,306,625,006,351,976,844,565,950,657,256,
677,130,834,956,028,329,866,635,707,598,980,179,858,238,292,666,726,525,500,
654,331,125,179,503,387,223,801,050,736,622,341,129,760,036,786,472,248,242,
000,362,883,060,274,050,456,129,642,163,862,511,013,844,451,752,143,298,246,
629,667,255,500,188,952,762,332,503,309,263,300,793,566,810,173,173,597,853,
228,208,794,145,757,371,264,941,306,455,507,264,582,106,247,006,973,368,933,
402,187,374,384,439,475,958,400,930,673,105,298,185,337,784,303,217,246,552,
230,163,532,488,979,922,658,451,336,043,545,654,824,833,288,308,823,323,775,
441,430,894,345,483,443,206,709,069,273,152,971,075,545,537,970,190,558,117,
901,069,431,291,668,763,903,734,270,465,113,494,584,867,314,215,468,796,628,
031,400,266,022,120,883,974,826,425,462,506,099,630,736,577,638,715,951,585,
396,135,137,343,672,393,977,470,250,289,643,803,295,366,714,427,400,605,132,
883,439,004,813,557,587,664,842,547,641,933,119,983,128,309,682,134,840,964,
934,905,911,672,815,386,578,961,533,364,575,257,005,697,399,955,937,066,254,
886,440,522,639,880,908,511,784,369,864,902,163,998,544,094,637,221,294,859,
269,013,872,560,706,806,943,004,051,529,691,166,371,755,707,793,285,952,825,
757,340,762,699,250,667,583,237,003,990,574,883,641,304,039,043,566,178,954,
932,575,822,627,006,406,095,492,312,468,413,671,056,336,142,153,830,956,487,
726,167,729,538,313,896,419,919,150,439,876,717,969,025,278,241,555,638,338,
464,094,169,578,022,417,847,065,979,845,498,606,993,394,495,616,107,418,454,
270,587,803,790,164,148,260,168,565,195,290,057,073,450,107,504,189,706,750,
226,948,145,343,920,804,275,658,075,027,800,117,264,893,950,435,486,474,384,
675,374,736,195,879,786,741,912,552,593,848,587,083,829,208,378,553,980,793,
536,163,227,622,353,197,666,102,580,155,493,818,827,983,465,107,096,488,589,
361,304,880,245,289,483,334,056,655,606,376,485,159,307,294,110,370,600,921,
038,948,646,794,611,380,212,496,032,559,681,958,934,808,260,751,743,405,548,
109,349,759,895,273,174,378,088,737,428,899,800,880,504,529,299,532,028,379,
541,033,387,810,460,505,882,751,021,680,984,359,639,043,926,705,760,270,764,
496,227,658,809,197,103,282,545,144,151,750,721,186,141,896,691,556,681,275,
527,484,320,789,638,044,525,505,840,660,015,691,007,204,818,009,994,475,880,
487,225,806,259,362,791,210,140,592,347,559,996,691,508,435,241,272,019,804,
985,794,283,018,394,099,940,834,610,972,260,090,467,991,922,059,649,221,502,
306,260,510,478,761,930,921,027,620,432,706,011,754,163,226,517,311,667,250,
056,919,228,868,224,240,507,156,789,078,840,688,969,106,100,022,673,227,665,
517,113,788,261,318,517,735,368,027,390,465,384,606,177,041,487,774,523,831,
525,389,720,849,688,855,095,904,031,686,262,989,028,028,887,266,452,608,231,
053,437,817,318,439,734,903,557,049,362,296,166,940,539,046,067,657,839,988,
281,875,994,447,714,832,726,249,306,028,788,914,319,726,074,024,885,387,615,
478,297,374,675,491,977,082,770,552,328,134,162,350,595,029,243,564,333,868,
592,637,538,558,991,549,192,306,666,782,171,033,767,259,486,076,111,239,208,
994,200,385,522,562,650,215,894,100,218,725,604,526,720,237,817,628,500,488,
342,113,417,920,051,445,059,056,979,471,013,458,773,170,416,283,923,225,853,
862,384,620,380,599,076,368,736,940,997,854,757,479,762,760,374,518,269,602,
597,553,192,230,869,952,978,797,684,845,823,244,181,346,359,593,017,637,999,
378,980,288,555,955,418,688,868,024,880,635,426,620,367,431,513,892,121,909,
844,820,918,121,788,985,082,609,722,531,063,843,796,549,748,733,900,496,459,
604,289,506,111,471,987,613,131,715,592,342,705,241,327,008,524,818,357,160,
556,679,050,682,292,555,589,392,147,444,470,114,626,998,989,282,555,838,640,
811,269,429,553,337,334,388,197,175,107,876,345,344,570,309,391,546,975,926,
307,063,950,763,300,097,341,221,787,933,595,568,105,333,973,350,373,697,127,
862,905,738,148,963,281,693,668,766,791,987,312,398,236,298,088,783,683,909,
899,887,855,513,304,757,279,330,403,748,357,815,522,737,992,276,395,759,343,
691,450,464,035,407,903,028,367,247,085,429,688,208,998,057,706,929,260,788,
138,093,832,165,760,229,438,765,649,657,522,751,298,977,545,148,644,058,697,
803,384,831,736,803,119,688,969,736,567,463,478,008,600,121,369,562,698,793,
588,805,467,880,532,802,552,797,326,425,930,446,421,497,709,889,903,033,415,
900,458,312,998,769,443,396,055,090,757,916,951,471,857,432,395,692,715,429,
363,501,115,826,948,016,233,660,818,191,816,666,720,310,197,973,955,516,790,
391,339,862,167,344,536,904,880,320,437,089,073,696,997,636,917,124,414,682,
823,383,975,810,980,673,332,781,580,683,370,040,364,421,465,125,340,592,881,
633,263,120,017,609,615,347,183,804,605,145,671,186,378,722,974,010,536,062,
716,096,133,884,850,154,755,003,197,914,764,379,296,623,684,092,322,229,861,
486,860,139,052,776,507,735,468,066,634,004,392,047,830,947,154,036,825,334,
747,114,144,913,298,425,405,262,962,294,874,005,083,452,843,498,981,939,925,
081,699,385,946,844,372,292,260,630,260,725,594,937,185,800,523,708,641,817,
716,638,565,352,680,903,217,507,329,961,746,146,840,731,565,814,474,611,439,
428,047,091,276,216,681,494,658,332,529,164,783,523,795,694,106,984,076,331,
040,591,558,193,631,050,689,220,346,126,808,748,760,535,734,009,937,258,379,
344,537,235,088,539,320,706,130,475,943,694,983,622,089,951,619,469,688,401,
191,245,971,694,563,013,097,276,841,316,423,688,146,051,896,877,291,970,626,
280,526,404,712,858,236,330,522,775,377,159,975,833,408,253,716,299,824,313,
746,567,009,197,391,865,195,849,930,827,662,374,610,831,355,804,736,829,155,
788,003,183,624,897,194,107,289,179,134,067,210,846,096,405,338,898,937,272,
093,492,656,035,973,151,089,419,823,592,078,768,082,701,416,734,953,679,020,
701,318,122,987,680,771,021,795,614,679,255,291,828,596,800,665,152,398,350,
625,348,105,947,050,130,337,149,761,631,111,199,878,151,510,655,026,161,769,
557,285,376,636,880,662,785,737,456,105,430,883,761,844,158,617,008,047,232,
694,731,206,642,036,286,611,510,711,377,282,295,828,054,055,021,325,530,497,
832,314,161,967,022,570,906,218,806,644,481,514,533,347,525,668,572,362,994,
053,173,364,636,711,789,436,346,378,179,622,776,945,607,635,249,191,419,698,
168,290,012,900,295,512,964,036,166,450,003,383,928,671,819,230,370,689,264,
748,335,383,131,895,001,093,815,607,674,184,853,604,944,961,076,909,882,713,
939,782,888,119,058,974,710,043,099,382,885,707,067,024,911,990,545,547,101,
138,651,819,739,146,339,227,252,484,769,935,625,281,890,945,318,015,126,387,
825,420,182,869,171,754,539,828,036,293,027,051,922,247,501,843,178,032,618,
324,020,755,291,919,033,334,070,095,412,487,885,004,104,135,572,079,349,771,
947,578,437,683,882,116,679,095,296,508,505,308,112,916,238,147,584,717,208,
923,520,661,554,914,932,803,793,286,727,604,979,364,546,436,135,742,760,632,
461,249,072,188,665,561,009,693,815,171,326,694,025,253,835,517,692,842,730,
870,437,131,476,658,775,254,690,459,018,880,573,906,138,740,373,467,862,432,
525,259,082,113,394,928,628,769,642,070,387,017,483,574,651,361,682,629,780,
414,654,729,140,825,648,612,320,200,429,918,005,736,513,708,522,359,784,650,
367,110,779,686,428,248,877,701,660,509,192,468,823,791,355,317,753,693,217,
920,316,161,031,607,089,455,468,642,796,492,194,227,533,346,764,532,317,111,
146,911,020,903,364,916,914,827,455,805,713,287,560,325,682,114,038,743,219,
112,143,818,560,819,267,604,005,847,809,277,571,621,827,185,263,460,659,972,
880,715,632,770,990,214,710,103,278,697,715,003,977,940,294,794,856,271,571,
181,487,332,841,551,447,692,182,186,435,423,058,816,471,123,790,133,524,457,
421,358,724,879,837,511,992,798,721,863,959,300,761,181,997,807,477,214,090,
145,966,197,479,264,100,950,977,905,257,779,589,767,133,115,501,327,002,821,
892,190,414,440,679,940,957,339,047,941,459,069,616,059,590,174,261,933,766,
926,983,483,876,937,126,527,482,449,069,518,859,765,943,614,597,853,588,559,
144,180,278,773,440,459,641,482,725,612,331,420,677,511,094,248,610,424,319,
439,258,935,717,408,973,929,072,397,341,630,329,490,591,674,483,839,110,583,
605,277,309,180,977,475,474,977,251,098,282,700,125,668,059,538,441,536,573,
155,668,759,250,496,968,170,997,194,763,796,995,224,132,554,249,746,139,591,
720,527,196,003,425,823,521,514,911,220,666,465,701,262,210,292,162,055,969,
140,346,183,532,532,453,329,554,737,319,103,875,448,340,516,740,784,137,983,
868,426,839,210,592,453,261,043,207,324,602,378,272,642,212,767,386,691,822,
005,327,077,493,217,726,971,130,312,686,276,394,385,492,795,631,579,490,131,
659,251,101,600,411,463,661,105,141,171,975,325,075,216,802,630,180,391,972,
419,360,970,655,631,128,188,437,647,945,580,582,608,705,998,222,951,268,142,
642,286,721,092,037,386,842,613,848,140,742,214,582,601,556,306,203,876,397,
887,299,139,366,131,508,433,937,727,618,139,624,200,274,641,973,915,213,241,
889,608,359,946,193,704,522,623,277,837,803,093,678,562,557,852,612,304,020,
235,436,232,823,657,814,041,362,827,108,086,713,049,457,004,435,751,675,232,
741,927,770,101,078,773,610,092,634,038,997,445,501,049,788,358,590,958,543,
344,639,958,944,803,836,546,655,302,781,768,473,670,947,347,564,666,947,164,
490,683,742,224,887,377,889,970,307,756,455,836,208,646,223,919,128,720,150,
442,518,918,297,771,278,210,243,993,020,775,394,263,200,948,594,472,708,028,
716,836,932,877,037,601,213,804,707,156,962,069,392,788,156,732,230,571,077,
113,775,423,292,592,174,099,929,849,549,518,632,161,003,932,395,809,903,694,
061,393,309,270,049,640,281,955,345,343,576,916,495,852,311,469,767,564,644,
435,109,038,261,549,823,571,763,995,202,416,540,886,645,152,576,640,979,734,
253,933,692,060,724,170,112,094,830,953,702,269,175,858,609,721,259,447,476,
944,390,492,358,568,680,189,514,217,004,038,213,171,204,430,645,637,950,950,
919,035,402,747,086,341,312,551,977,425,081,550,735,224,604,419,820,528,492,
258,641,137,984,821,785,798,267,856,961,528,043,857,147,955,261,606,733,212,
724,109,687,145,533,072,305,003,177,903,025,036,211,115,351,018,514,290,007,
768,963,348,156,168,442,146,003,548,123,713,303,440,760,467,537,260,910,109,
060,608,526,192,536,203,446,771,516,865,494,485,370,762,082,292,590,949,577,
945,439,844,326,413,151,811,297,187,949,644,675,809,707,356,955,874,201,806,
592,815,587,597,823,825,250,873,595,376,332,414,271,290,965,641,243,393,047,
163,051,890,622,287,096,355,511,950,282,170,632,234,216,317,303,288,717,557,
503,590,349,315,215,443,197,604,040,436,419,857,916,408,067,697,571,925,804,
690,533,718,422,560,418,537,641,068,526,141,216,732,743,875,115,841,770,158,
971,441,795,471,439,509,336,468,617,359,250,590,204,113,554,625,991,125,328,
257,900,832,884,590,557,792,684,025,898,861,257,228,006,797,726,276,491,653,
871,813,899,011,775,415,494,731,297,973,734,468,950,087,516,640,119,016,475,
189,357,240,858,158,833,685,855,490,930,471,179,306,848,781,600,214,127,103,
829,808,549,874,342,685,352,477,450,838,842,703,508,771,363,207,696,405,683,
776,344,580,025,381,544,419,992,605,837,179,450,760,198,474,314,723,221,952,
361,972,122,474,539,797,345,052,410,271,211,863,248,698,403,772,373,232,278,
971,602,446,104,833,699,201,435,947,713,257,244,466,144,857,390,573,195,178,
883,246,711,299,696,275,726,637,592,635,551,875,844,975,595,386,915,957,127,
821,528,019,391,645,143,620,411,174,312,906,333,210,044,748,894,419,548,847,
413,026,369,122,058,440,714,801,688,456,291,480,217,366,514,733,369,033,459,
687,230,342,198,976,356,670,166,525,365,277,010,401,484,704,791,849,806,484,
043,300,751,946,928,877,862,854,568,374,654,332,321,969,867,751,919,047,504,
564,764,112,780,941,037,674,992,133,163,310,002,364,628,686,036,951,743,898,
162,485,746,347,004,861,361,900,241,775,089,495,235,280,703,008,751,358,648,
402,262,260,738,879,340,939,400,878,681,634,768,170,583,401,080,678,002,833,
946,120,247,524,192,489,352,790,697,095,767,420,202,317,656,640,275,748,706,
008,048,661,516,529,369,661,433,975,106,198,572,934,159,389,914,901,887,741,
179,068,881,209,303,750,045,869,243,339,834,934,097,873,023,111,054,663,133,
011,021,023,740,362,323,831,913,443,532,586,080,713,344,104,976,707,648,408,
534,152,658,002,994,387,934,644,279,393,771,597,923,462,744,987,906,128,040,
429,742,658,421,701,202,988,158,072,399,470,326,890,704,876,412,535,027,865,
195,402,353,059,594,066,071,959,658,721,529,727,439,203,913,336,308,342,004,
793,079,885,191,359,633,115,087,499,966,389,520,671,404,964,153,448,823,555,
145,709,624,422,585,661,688,280,502,745,569,112,521,245,197,573,910,813,348,
152,361,855,682,438,192,155,651,203,892,085,391,732,657,862,766,803,138,663,
709,390,970,573,271,602,784,343,170,666,880,708,705,423,304,330,015,091,922,
820,048,387,703,251,708,295,679,242,164,714,775,369,365,230,301,583,185,184,
618,602,963,648,475,530,728,156,180,597,163,252,706,764,402,920,509,867,720,
012,419,469,761,193,030,941,804,808,040,387,760,755,597,374,111,246,112,774,
816,589,113,334,980,980,467,245,888,720,241,072,101,726,929,668,862,114,524,
640,668,871,245,307,294,827,908,723,648,130,762,904,759,917,540,621,590,254,
684,210,540,392,552,173,841,957,980,999,755,233,950,275,372,280,822,440,503,
291,171,846,966,027,856,600,262,680,608,895,004,107,986,631,849,751,847,081,
948,522,506,377,497,707,645,465,107,333,039,851,836,383,871,776,922,420,039,
375,962,937,050,326,948,944,420,577,492,285,071,600,215,509,232,351,859,871,
915,992,267,877,209,632,051,573,229,953,775,195,225,227,129,383,776,763,157,
253,648,691,917,039,369,203,945,414,198,821,597,392,022,576,957,536,556,513,
331,050,389,394,962,099,004,838,527,549,761,508,641,610,175,417,982,413,143,
876,350,786,889,108,727,937,296,053,005,227,080,533,773,788,730,195,162,241,
000,783,535,457,381,329,025,497,443,659,089,174,853,163,866,049,455,884,921,
100,682,369,262,448,027,336,397,103,571,607,822,578,208,213,574,476,506,297,
038,075,103,610,695,471,250,470,197,879,519,098,589,927,028,908,334,590,365,
703,430,704,374,867,036,436,395,789,880,556,927,491,449,780,177,025,588,083,
027,066,444,448,260,817,032,111,075,746,088,380,649,683,661,755,337,079,354,
757,086,803,277,371,555,217,480,943,663,987,537,139,261,949,796,234,521,423,
958,112,937,344,931,538,154,863,473,725,492,714,356,725,809,116,354,730,438,
162,340,239,023,464,480,664,546,718,367,363,076,841,379,021,790,296,281,921,
248,046,179,586,119,046,544,910,547,454,415,119,804,572,742,175,839,724,879,
568,947,780,544,867,444,087,118,526,442,907,365,882,017,066,697,135,053,148,
901,975,186,672,293,692,503,814,591,694,574,454,520,647,988,662,471,838,745,
516,255,847,547,833,741,101,326,283,230,341,149,803,811,574,139,121,227,688,
952,220,675,635,099,696,761,650,361,085,185,930,613,257,581,738,867,956,772,
838,484,802,087,416,858,412,534,710,233,769,688,501,658,643,592,366,137,960,
195,769,150,734,517,174,553,995,434,931,146,653,174,856,570,916,928,241,217,
837,104,791,916,034,974,307,465,846,948,481,061,709,409,799,047,620,209,868,
715,471,601,827,224,608,663,597,117,467,444,040,037,923,712,783,412,406,430,
383,765,935,906,329,952,337,658,132,665,238,134,065,159,484,370,317,680,598,
949,092,777,305,750,146,596,753,990,833,583,160,369,843,629,073,086,201,480,
197,668,138,021,042,224,979,065,952,855,191,888,407,813,659,904,940,481,081,
680,351,215,287,831,867,217,994,503,323,552,338,752,775,878,106,126,669,087,
380,979,889,518,507,006,162,623,811,578,689,779,105,062,502,019,289,375,481,
161,425,104,208,045,770,051,848,832,579,315,659,800,536,317,691,791,662,069,
921,214,165,876,270,750,863,802,888,450,623,590,712,285,181,937,475,181,821,
652,986,803,458,282,827,803,978,838,166,080,405,551,581,619,015,921,041,857,
166,474,849,645,792,857,232,996,949,137,630,915,323,973,259,720,597,023,999,
065,401,991,709,709,988,398,089,848,062,422,000,681,828,343,320,583,126,088,
139,112,826,891,058,326,879,605,892,028,719,909,492,852,429,691,613,459,302,
273,842,184,338,613,486,517,541,212,664,690,095,594,734,109,905,594,403,073,
218,055,682,940,340,626,515,804,588,757,441,361,206,298,977,687,450,109,196,
296,132,537,729,508,636,890,929,060,296,506,523,836,287,269,124,021,931,810,
699,692,390,948,386,548,556,274,814,570,988,364,457,280,159,170,889,753,389,
361,325,802,355,920,343,879,898,020,148,785,952,341,586,777,069,249,259,742,
470,060,350,209,439,888,124,044,457,168,195,818,705,861,157,028,797,273,343,
693,283,733,829,827,165,375,578,062,985,249,216,898,341,945,400,841,656,805,
769,138,449,935,397,640,604,944,690,833,336,644,055,782,025,618,583,344,340,
248,865,655,093,076,694,725,886,699,228,059,493,848,135,700,740,429,463,707,
232,543,342,572,438,301,556,894,410,748,587,247,849,062,997,783,558,880,913,
873,520,182,215,714,351,500,473,748,259,842,464,926,884,937,000,661,142,912,
616,738,029,050,035,114,581,808,308,131,066,906,280,650,779,338,870,841,596,
921,825,822,978,237,309,256,684,550,379,702,716,488,131,754,364,834,635,972,
777,068,265,740,374,912,356,516,454,708,969,154,727,192,791,981,915,836,725,
068,606,963,134,574,141,283,522,530,919,232,269,352,928,816,871,857,892,013,
331,124,263,354,696,878,147,849,362,096,901,170,914,904,527,853,376,167,422,
704,381,369,088,577,986,537,047,461,282,037,637,986,125,354,028,855,776,039,
074,004,447,617,131,118,104,994,429,375,977,159,151,815,313,137,237,603,607,
947,442,397,715,929,699,270,242,818,400,174,696,307,614,432,600,827,329,427,
098,204,135,259,478,969,086,230,483,023,427,912,919,321,575,250,961,930,614,
409,772,324,561,875,663,702,185,374,790,974,652,869,766,366,169,923,243,206,
765,819,880,238,771,560,663,806,721,887,996,164,594,588,046,494,886,501,952,
347,436,092,171,483,023,740,255,362,551,928,536,898,732,880,417,740,489,503,
488,064,103,482,778,308,227,408,667,181,279,798,660,874,068,612,646,507,726,
362,925,923,412,425,248,454,496,218,726,158,659,062,308,910,052,182,074,936,
817,696,319,380,419,717,109,296,303,321,258,363,824,492,012,296,175,043,303,
585,661,403,787,020,769,042,307,993,560,886,653,364,298,327,135,409,601,501,
889,177,752,253,772,130,424,722,385,304,309,641,217,510,973,619,697,830,429,
828,837,775,065,632,163,264,871,617,518,046,161,012,429,182,795,673,012,854,
829,503,229,668,763,332,486,607,610,241,941,970,415,152,132,543,123,611,844,
520,056,576,666,478,494,157,640,286,261,496,968,442,848,572,694,308,716,100,
171,459,682,947,594,322,805,780,905,680,771,124,734,507,204,954,116,480,771,
131,370,911,746,849,684,452,566,376,264,619,535,468,108,273,669,784,350,386,
951,857,142,829,551,589,287,293,218,369,239,284,124,057,435,580,107,682,142,
727,537,649,780,721,383,048,424,734,847,516,031,903,012,276,780,250,452,540,
123,217,715,502,189,041,143,551,936,631,948,010,366,577,745,979,092,445,590,
651,280,871,791,322,277,745,636,692,212,694,428,047,236,920,690,828,700,070,
361,952,505,319,152,441,959,552,797,342,725,267,612,270,680,419,102,675,594,
650,317,639,904,561,745,757,566,881,123,165,597,007,957,055,012,324,690,986,
446,880,518,008,542,475,586,400,452,014,569,548,090,997,398,063,065,370,743,
689,457,934,898,218,774,516,494,449,732,764,470,571,989,743,166,981,161,120,
580,028,115,557,257,679,558,878,197,685,169,307,565,637,545,546,972,628,043,
712,166,021,992,940,734,785,439,957,111,568,441,096,099,363,213,790,224,151,
075,005,399,787,420,492,166,586,406,382,940,849,803,909,475,020,495,771,597,
119,739,267,168,167,912,165,996,841,515,970,460,224,782,064,650,561,198,920,
807,817,577,206,903,766,639,734,969,437,884,649,828,211,697,135,947,754,849,
876,926,037,156,778,334,305,178,569,021,837,161,106,647,137,292,122,030,392,
274,987,161,074,517,090,231,983,377,180,600,365,845,860,089,869,270,823,484,
855,958,560,239,769,892,227,905,114,228,957,060,943,243,929,513,037,699,821,
928,007,362,380,398,469,600,639,181,345,801,488,191,113,872,043,965,840,411,
541,322,456,104,036,783,395,529,434,429,982,819,149,675,784,158,653,159,024,
572,507,727,265,804,760,279,389,412,272,564,768,674,437,589,614,389,454,417,
549,332,884,958,108,619,943,220,403,210,489,887,882,006,145,336,189,428,517,
730,613,237,931,739,431,955,735,505,046,506,548,277,103,045,281,444,642,359,
235,830,618,636,019,838,973,280,446,771,028,738,934,960,532,179,757,153,349,
367,389,467,107,733,983,732,084,412,115,419,082,049,272,878,272,545,874,714,
147,270,296,173,657,857,750,162,380,309,127,116,900,122,868,798,753,265,266,
251,131,098,553,368,334,015,657,206,497,198,334,990,299,709,173,799,076,531,
811,728,264,778,723,149,468,160,803,190,755,370,866,312,034,239,296,191,604,
102,272,295,428,686,569,366,253,754,341,354,110,715,602,484,371,050,730,415,
835,756,031,983,020,228,990,816,703,573,789,371,259,046,017,153,529,078,274,
102,263,813,875,854,302,445,471,322,160,907,512,688,127,461,947,766,100,173,
130,881,799,871,096,533,756,424,330,884,624,252,673,334,417,451,788,873,848,
949,174,265,512,908,435,684,505,609,175,078,678,274,673,156,447,040,160,601,
466,121,276,002,798,367,920,563,603,202,787,097,133,822,881,609,893,358,632,
378,094,993,129,839,814,383,657,382,116,507,754,487,704,464,538,347,636,128,
588,693,208,969,456,059,439,009,617,685,334,962,968,435,416,718,909,787,665,
445,736,705,503,471,591,798,774,404,109,077,517,984,919,351,891,714,116,174,
205,220,249,122,755,981,915,196,497,098,362,000,938,480,303,358,017,327,755,
078,795,893,687,358,790,975,162,121,809,696,849,469,108,030,169,656,102,632,
768,752,618,759,112,248,764,546,614,160,573,727,521,857,689,225,233,923,588,
215,420,311,665,101,623,841,661,075,180,304,040,583,498,503,631,489,577,811,
988,797,945,993,336,230,786,602,886,367,208,818,110,049,298,533,364,228,004,
787,781,429,861,819,429,141,742,835,373,518,754,996,557,909,589,817,319,238,
264,235,395,050,655,577,627,809,966,314,612,205,402,030,279,994,838,894,513,
032,564,494,056,754,746,813,818,404,641,251,965,119,041,638,808,325,181,771,
911,974,921,114,270,264,385,247,660,199,452,133,727,441,542,970,632,558,352,
298,459,216,937,977,466,068,118,024,822,219,309,850,594,081,656,617,930,776,
713,145,563,761,190,622,145,371,380,499,293,258,065,056,948,340,404,668,768,
898,796,325,352,690,751,504,572,628,204,549,792,402,700,607,024,680,522,207,
880,052,507,539,620,848,979,103,957,936,847,609,606,451,404,735,490,207,071,
730,351,967,031,203,847,022,717,557,762,952,458,629,627,741,029,001,622,254,
063,636,952,158,928,214,697,523,878,678,504,067,953,823,948,073,883,003,795,
930,479,393,914,724,240,114,939,131,242,681,958,250,258,476,675,381,855,339,
421,022,244,586,323,792,011,664,736,147,819,035,293,347,637,080,298,859,382,
582,547,564,081,306,190,593,165,045,757,711,893,120,942,522,859,407,527,182,
005,815,859,363,481,850,387,246,380,949,007,088,458,189,126,095,768,808,906,
606,708,879,476,559,201,919,273,756,228,208,714,936,776,517,673,195,141,467,
333,420,490,753,855,031,650,176,299,036,760,977,561,858,680,953,223,188,672,
344,352,781,892,653,567,412,524,376,428,050,736,790,506,392,702,872,451,420,
689,509,182,175,121,499,938,826,638,755,647,468,833,952,255,149,445,473,217,
703,519,244,118,401,617,386,490,942,191,164,734,912,099,190,487,192,384,927,
438,133,276,245,481,238,585,055,569,273,974,094,416,846,708,990,808,621,468,
902,877,223,728,358,298,834,468,637,117,567,130,672,492,674,140,571,098,613,
737,532,234,731,527,001,252,337,198,057,817,629,629,377,305,524,997,639,526,
411,621,055,289,960,673,116,962,214,341,644,683,206,860,283,266,493,829,028,
187,251,112,271,783,054,249,619,290,674,156,135,570,013,853,774,053,220,769,
773,965,523,563,170,794,075,384,678,281,043,896,325,200,397,567,475,191,200,
545,533,843,175,211,057,659,878,118,163,944,387,302,819,627,145,178,668,947,
930,228,488,037,479,825,541,133,920,450,746,635,189,093,623,189,721,879,595,
498,456,872,294,726,719,581,857,895,176,070,388,829,963,975,738,046,463,053,
037,737,174,910,401,073,429,964,855,306,756,912,255,952,351,713,314,446,892,
528,305,780,313,849,975,874,880,880,613,070,018,924,208,326,875,543,706,994,
886,148,829,747,160,179,194,118,541,291,735,463,390,111,450,636,361,833,504,
923,038,571,891,218,944,003,724,720,875,131,607,012,443,111,968,633,593,037,
826,509,593,078,203,191,668,669,296,101,989,552,302,503,347,349,548,901,492,
798,671,288,286,790,708,335,140,682,344,056,874,702,986,482,151,575,129,135,
897,780,225,803,989,699,713,317,731,828,470,723,832,949,004,349,044,121,162,
755,879,294,600,846,156,169,140,223,997,657,102,311,355,991,348,346,818,257,
296,233,370,728,170,408,691,951,108,639,746,680,412,745,944,404,524,422,720,
642,317,921,442,768,960,138,306,997,513,959,417,586,121,683,862,511,432,141,
524,081,440,496,757,332,998,549,242,497,668,454,275,337,847,308,342,753,862,
061,727,214,858,984,193,501,131,992,228,661,192,160,720,338,120,922,754,412,
550,480,130,920,357,784,605,766,822,880,198,874,611,848,143,575,037,471,251,
959,355,471,402,602,867,206,988,455,719,181,746,386,701,659,888,987,550,779,
755,285,153,673,636,819,288,106,013,242,023,193,621,902,724,391,441,908,167,
002,945,007,847,983,198,321,740,612,143,515,240,740,657,055,297,748,237,510,
982,290,910,104,190,953,476,514,084,173,731,717,025,994,322,159,190,897,227,
085,546,011,361,796,070,419,124,885,778,216,997,473,386,991,556,946,906,942,
064,204,706,218,521,005,167,329,140,649,917,293,526,058,633,858,161,827,636,
039,218,393,905,758,053,812,962,863,210,966,333,500,711,343,834,085,684,346,
634,285,235,735,804,375,169,092,112,015,679,079,966,827,885,935,137,167,720,
610,014,306,871,985,037,254,065,450,156,708,528,891,813,536,434,520,220,920,
973,205,297,579,670,699,469,347,355,619,755,935,186,229,913,569,276,748,775,
930,552,016,188,865,944,031,683,533,865,243,951,174,390,447,479,093,276,204,
404,357,603,953,012,171,075,972,553,070,454,329,623,481,689,824,356,360,159,
721,232,358,997,119,459,765,507,564,646,078,519,623,204,756,926,460,220,469,
781,973,067,538,880,168,411,728,960,504,555,164,880,936,472,897,977,387,578,
377,733,061,576,571,472,715,737,358,172,558,177,455,135,942,395,343,197,284,
882,276,412,523,438,791,313,460,808,800,751,353,319,883,051,345,134,995,618,
139,326,884,872,674,792,785,888,950,591,669,132,573,237,122,466,825,139,165,
252,886,725,043,202,109,662,676,916,727,024,539,856,445,777,392,362,040,510,
725,071,524,440,985,956,234,248,017,894,410,481,010,140,458,014,027,707,726,
538,133,386,568,783,072,492,870,489,524,218,049,444,519,305,964,484,791,030,
884,625,320,556,325,218,346,852,182,909,805,934,608,019,913,880,840,059,517,
847,473,386,280,813,384,549,056,653,966,821,255,441,311,006,322,164,302,790,
788,003,009,740,833,291,725,510,545,052,484,135,905,434,798,009,783,365,524,
635,094,525,491,136,495,400,001,476,505,214,835,256,090,470,829,006,816,810,
550,195,355,676,301,860,276,492,135,081,210,075,437,005,969,766,623,769,311,
852,267,718,216,810,825,651,638,440,901,236,247,508,848,206,032,677,034,294,
691,803,433,532,817,926,095,574,447,893,499,992,528,875,278,394,208,609,135,
682,102,731,872,107,344,547,645,272,187,254,894,518,417,513,006,530,656,452,
186,128,570,702,424,130,898,509,252,187,886,878,353,703,472,968,409,148,631,
091,075,207,088,097,546,270,901,896,119,557,172,722,492,632,274,936,167,083,
569,541,041,014,830,763,388,436,488,560,417,130,526,518,101,633,960,090,575,
578,214,680,298,584,187,676,821,777,486,668,465,137,714,948,266,248,240,504,
923,192,467,845,477,793,472,855,567,677,894,280,410,112,095,941,925,020,512,
317,656,551,286,424,946,734,607,963,335,476,116,462,053,184,859,554,296,024,
972,630,772,130,267,011,327,281,035,395,769,364,655,843,543,341,280,481,090,
302,102,577,588,251,314,258,298,924,565,982,272,955,072,590,668,767,877,719,
554,431,258,152,302,747,129,978,606,194,230,900,152,540,489,165,817,512,269,
857,303,129,115,644,595,271,794,539,452,145,535,659,415,413,753,195,894,181,
546,843,910,137,920,209,976,947,659,894,494,223,417,417,243,076,095,520,665,
885,402,055,340,144,538,758,414,786,462,820,909,219,854,410,354,401,420,580,
574,592,355,094,304,097,033,343,734,321,641,758,282,232,359,323,681,033,859,
862,099,987,959,793,184,087,252,296,798,426,469,268,398,921,400,185,410,754,
887,905,083,755,894,127,783,233,662,776,830,756,225,841,415,831,029,738,205,
796,824,807,853,405,003,283,706,455,009,095,839,968,112,021,112,222,992,016,
553,941,678,993,400,262,480,704,378,393,917,870,758,934,198,569,317,764,439,
994,596,639,106,816,696,985,194,721,537,281,983,128,297,576,417,599,193,914,
815,649,042,662,603,461,702,238,182,945,627,219,905,190,549,822,246,156,417,
175,982,113,627,878,920,232,981,620,029,196,227,012,117,814,464,965,677,450,
958,463,449,775,598,213,679,059,331,380,350,975,583,823,231,457,979,956,263,
739,724,949,231,236,166,604,472,686,463,652,766,116,404,784,699,164,084,838,
340,141,732,141,931,547,776,215,943,550,203,368,806,460,310,615,245,233,902,
100,193,421,698,469,030,535,259,070,633,129,372,303,061,432,297,837,938,895,
626,725,480,080,313,081,072,603,978,617,045,875,813,542,157,796,458,366,638,
871,471,510,484,095,387,845,123,760,390,603,137,580,759,435,760,505,019,776,
889,310,252,278,334,878,698,919,982,138,877,875,825,761,530,451,703,994,758,
047,272,594,484,705,787,343,341,025,124,717,173,260,716,101,152,004,915,635,
403,000,859,575,077,627,995,412,975,008,932,735,457,680,463,370,083,155,218,
198,793,638,440,055,014,995,203,369,803,724,482,740,228,780,356,758,287,760,
887,599,209,664,653,453,664,952,950,650,675,916,355,318,637,478,421,420,231,
275,820,280,521,010,288,146,145,581,881,468,710,344,686,243,449,865,644,376,
827,322,967,111,289,434,595,678,498,574,768,070,051,489,318,111,536,991,353,
605,730,800,907,161,790,604,872,024,070,875,246,508,139,538,212,078,086,916,
352,097,259,346,274,972,981,971,710,573,111,311,571,070,155,397,008,984,577,
020,912,924,971,199,048,492,452,971,771,613,835,808,479,303,529,288,422,185,
881,979,337,966,831,133,108,517,171,469,855,960,602,194,987,892,705,336,725,
693,728,850,924,633,374,661,935,526,733,758,326,186,689,077,376,158,633,179,
817,699,841,427,526,411,316,682,564,242,327,991,513,101,143,361,076,562,830,
220,427,509,675,865,536,728,383,963,745,035,249,125,567,540,535,983,561,357,
348,870,785,787,636,172,976,078,969,157,821,838,856,372,276,344,995,873,699,
480,641,454,081,555,525,008,895,010,591,299,985,208,568,606,240,290,906,706,
064,425,501,133,849,523,400,562,575,726,941,339,995,414,108,899,724,842,637,
160,055,103,866,487,416,263,340,153,221,391,626,947,922,153,003,673,512,622,
177,862,195,252,234,973,811,797,095,325,164,155,884,022,255,864,178,326,883,
794,729,767,065,270,062,895,786,138,236,754,348,770,590,438,847,248,244,268,
216,409,350,386,928,688,619,162,139,439,014,129,902,521,129,114,764,831,312,
760,510,475,929,844,702,332,194,114,126,224,761,794,872,519,255,736,601,310,
944,915,450,100,725,256,581,630,437,212,418,646,829,487,123,212,277,238,833,
070,088,347,916,142,642,823,202,228,589,739,137,032,045,888,633,006,534,453,
208,154,118,017,855,562,510,283,758,382,870,090,211,657,597,489,126,351,266,
592,915,580,822,681,616,163,718,123,145,661,573,858,601,544,874,140,840,280,
597,556,149,539,936,461,538,870,126,398,881,995,943,854,988,078,899,647,939,
565,119,653,751,853,592,675,643,718,121,200,361,243,270,496,697,372,529,279,
694,720,289,244,040,291,730,045,799,506,333,696,296,244,341,339,461,335,827,
316,427,104,527,403,601,700,659,281,241,647,123,987,409,141,188,575,475,452,
994,644,021,242,902,586,966,272,789,220,494,031,972,334,455,205,451,552,943,
237,822,429,026,612,947,005,552,216,567,895,511,160,545,089,184,671,395,714,
330,903,154,867,725,774,938,457,658,575,053,548,808,473,082,924,313,640,195,
389,114,051,752,140,197,529,339,426,617,172,923,664,307,239,103,974,363,052,
668,521,816,597,894,675,670,740,250,273,559,940,712,767,278,166,150,111,852,
512,053,133,379,520,183,184,284,490,548,522,869,914,468,011,312,189,721,657,
118,097,145,413,226,112,718,125,332,915,753,579,592,824,752,881,422,582,389,
313,652,641,078,080,013,171,871,776,924,318,226,819,434,273,335,565,243,919,
443,308,859,357,243,132,224,643,668,179,135,992,885,630,648,420,594,416,242,
069,544,517,744,181,487,476,256,431,271,117,483,971,449,961,971,226,754,270,
508,270,989,236,087,611,465,580,561,739,113,657,041,918,991,914,877,563,315,
117,943,860,584,678,651,445,171,766,788,989,639,324,302,741,998,823,382,477,
162,920,600,065,931,348,286,002,203,568,233,021,269,205,604,232,911,467,087,
263,450,279,335,410,081,993,901,587,493,974,216,147,408,422,888,378,161,313,
610,790,341,391,097,105,374,083,080,753,595,091,267,374,484,674,590,812,373,
753,617,342,191,000,869,338,364,291,108,821,969,410,357,500,294,398,711,064,
829,740,692,751,912,855,185,031,938,796,914,259,950,600,326,733,802,081,322,
296,709,686,223,345,986,829,641,852,588,422,184,066,624,737,129,890,883,683,
634,031,999,374,174,866,880,706,499,149,031,771,649,918,943,292,439,727,636,
539,112,739,761,002,332,522,778,352,157,223,527,678,503,955,433,526,164,579,
893,569,710,364,333,537,593,501,531,678,638,360,638,052,216,620,287,772,823,
135,658,624,329,487,844,437,796,211,399,275,020,095,086,028,311,343,057,393,
897,347,856,020,039,356,619,050,167,599,587,982,877,055,030,627,025,727,211,
037,982,790,330,688,304,788,086,036,553,236,788,677,434,092,388,753,933,358,
626,789,756,808,040,798,126,859,489,391,324,299,097,581,733,094,390,057,709,
824,714,689,257,313,328,300,838,226,564,639,336,964,845,791,453,455,348,241,
815,902,522,481,048,872,194,493,341,688,152,197,940,907,766,817,737,158,086,
748,194,391,611,495,243,721,029,517,679,944,252,445,988,308,051,122,001,707,
332,914,858,808,121,762,942,851,643,583,793,028,834,271,481,019,786,034,589,
271,868,101,577,486,996,180,812,760,712,791,394,206,038,736,426,776,058,411,
957,746,581,801,868,233,461,817,345,707,050,854,728,075,639,674,763,372,294,
384,220,821,506,585,579,660,140,077,412,707,544,465,645,438,987,961,325,564,
826,752,044,387,268,514,230,749,470,106,191,744,440,926,983,299,635,805,091,
591,440,665,114,451,224,639,092,461,606,027,562,538,589,755,112,148,359,966,
702,287,942,600,296,548,141,360,792,576,188,815,150,561,569,799,032,719,977,
559,587,398,533,978,933,062,134,652,583,417,506,037,219,417,558,782,348,330,
051,996,714,246,696,646,225,696,332,228,648,455,053,666,054,141,579,989,846,
229,140,589,649,312,949,516,545,567,560,596,222,936,854,372,647,310,142,432,
620,068,579,301,238,349,367,336,369,178,723,358,551,529,499,705,806,181,610,
592,739,930,377,863,990,676,972,586,806,547,986,783,818,758,172,638,084,263,
871,727,115,354,174,012,852,478,183,112,808,568,394,310,725,490,579,900,318,
928,832,419,024,485,239,731,557,890,729,947,942,174,101,410,166,104,764,681,
931,726,559,478,571,761,007,858,417,781,963,894,097,119,862,277,242,708,174,
977,375,686,771,521,930,258,488,778,213,344,864,707,953,317,639,072,930,915,
687,412,945,574,869,416,305,133,529,525,701,657,374,421,146,547,127,182,506,
210,816,067,186,655,802,317,598,668,979,060,777,611,663,301,934,586,288,647,
344,638,201,550,348,301,941,591,286,787,375,113,784,413,204,423,270,703,282,
094,150,106,197,619,080,344,123,819,535,608,324,969,124,430,428,212,047,322,
436,320,714,808,928,814,944,349,597,946,395,273,709,733,573,212,447,557,926,
713,157,756,055,725,432,804,680,956,494,644,040,305,609,698,752,660,533,261,
661,175,754,257,475,448,807,629,814,901,680,857,014,886,080,558,420,775,040,
907,214,823,662,432,093,751,736,641,537,356,043,516,677,539,880,077,712,279,
942,052,169,812,447,955,163,903,057,878,897,681,479,073,988,870,618,574,102,
919,071,412,248,881,487,472,962,354,076,829,772,992,693,391,786,879,812,651,
673,399,597,795,461,313,286,533,116,847,620,425,123,632,366,970,338,344,771,
042,745,676,047,015,959,733,259,471,875,066,736,412,940,697,293,614,303,615,
082,500,522,554,886,036,984,316,894,701,607,325,797,328,962,308,596,470,080,
615,179,625,830,133,860,191,002,554,991,585,614,473,290,536,264,922,578,910,
798,193,114,434,441,040,013,305,506,073,384,749,802,317,270,352,294,832,183,
315,460,127,569,842,767,267,163,225,048,673,385,877,298,872,950,287,257,254,
832,058,943,481,777,947,999,498,315,138,251,879,716,440,551,893,893,577,184,
328,626,362,573,746,869,708,545,935,437,223,137,958,737,527,621,130,677,047,
572,661,108,214,254,468,598,674,370,889,389,187,691,917,615,825,009,428,804,
033,664,906,263,709,368,315,807,567,741,556,931,549,617,322,493,867,395,620,
452,516,419,411,502,963,788,248,088,347,196,479,080,226,184,404,809,495,911,
463,644,192,408,353,617,430,110,842,585,554,701,295,885,711,013,005,662,419,
204,789,742,662,320,053,368,018,307,816,118,846,133,281,306,949,329,995,324,
769,428,083,516,806,778,765,225,378,060,951,463,299,125,499,789,127,791,288,
894,931,311,262,402,010,686,154,700,853,600,151,054,701,968,824,017,488,701,
878,396,546,236,818,757,183,794,106,659,525,010,638,228,768,015,854,944,547,
139,030,256,779,476,798,556,865,323,358,169,570,728,485,482,356,145,675,039,
511,104,071,752,640,864,509,967,127,833,694,572,802,310,009,905,553,849,453,
468,210,860,829,207,398,281,138,473,163,453,274,212,136,572,337,033,173,803,
017,309,710,555,335,466,913,906,932,895,469,136,336,090,138,677,617,459,807,
202,562,944,625,895,279,429,090,103,744,845,972,783,294,673,080,002,423,026,
641,326,982,928,257,478,067,606,182,802,793,060,125,032,886,146,296,768,845,
036,212,456,049,198,168,513,902,636,265,366,891,569,108,897,732,033,105,291,
730,222,048,007,809,886,823,042,262,151,708,455,714,924,077,845,194,471,382,
217,314,440,164,788,731,090,769,016,327,487,118,687,507,809,516,056,223,590,
166,877,708,127,613,308,541,845,173,305,820,647,256,949,817,719,295,635,469,
753,391,789,375,702,454,329,117,036,620,941,006,325,668,757,877,770,944,483,
499,835,471,308,895,843,599,214,791,711,307,279,325,135,973,744,886,599,950,
046,940,465,821,569,883,910,085,450,800,636,921,670,193,207,631,043,679,643,
330,302,563,869,595,764,353,554,465,043,322,318,322,386,073,181,517,288,929,
159,938,839,136,525,909,718,115,183,315,669,198,282,217,632,316,113,988,555,
286,800,753,565,909,408,349,343,961,310,979,158,904,475,860,282,580,550,457,
680,293,275,702,166,380,161,647,771,342,969,260,318,211,029,243,938,924,332,
906,603,404,563,433,496,254,412,004,721,050,661,614,478,619,080,016,106,159,
180,491,432,585,735,048,647,212,248,770,700,223,182,609,490,234,310,065,071,
597,523,454,732,787,492,706,043,565,011,107,754,890,156,970,875,694,166,390,
443,795,054,272,219,185,554,134,332,021,559,664,450,853,429,217,560,380,305,
749,116,925,001,297,026,845,066,912,470,217,696,961,058,875,560,133,725,061,
829,373,391,761,635,894,637,711,854,851,179,857,871,824,770,708,349,874,855,
672,711,720,330,259,611,686,602,529,266,597,671,097,446,936,668,071,428,882,
652,473,848,962,553,679,279,072,829,537,694,822,228,386,115,931,472,249,680,
350,068,373,367,634,682,706,643,595,087,077,264,761,996,140,862,146,941,902,
916,378,269,465,599,993,580,025,871,906,910,357,413,686,576,623,265,735,763,
943,049,562,766,685,851,520,723,442,375,440,165,206,150,789,929,740,687,091,
298,654,721,908,150,283,339,892,551,552,702,049,908,333,517,977,009,122,665,
999,196,176,681,838,075,397,906,842,733,889,579,413,343,761,616,456,337,584,
370,645,179,373,528,920,176,484,432,339,972,161,780,953,563,967,406,219,823,
436,327,712,627,849,901,377,760,444,033,142,592,715,427,480,999,152,450,930,
444,157,399,142,894,163,866,527,337,446,727,217,895,561,661,447,350,214,190,
967,812,839,388,413,577,785,549,282,827,703,047,246,811,725,113,266,263,505,
895,646,239,490,383,762,486,591,505,641,355,775,918,728,853,181,380,776,936,
943,117,187,803,968,328,066,490,711,531,787,394,241,829,968,499,062,759,392,
451,401,841,433,476,300,545,876,276,367,099,880,587,405,255,315,873,138,995,
795,200,114,401,407,577,872,449,304,536,307,282,798,101,474,908,564,119,556,
210,712,979,042,749,661,026,748,755,705,060,031,446,613,087,841,162,910,577,
219,146,221,561,352,847,214,580,582,343,641,197,669,076,010,244,638,778,519,
704,099,663,495,469,940,279,184,049,923,699,083,463,440,583,480,683,799,684,
509,467,119,691,299,354,497,639,636,678,969,121,818,074,340,035,344,569,769,
339,155,505,479,918,870,245,759,481,138,990,675,700,215,791,708,080,410,017,
350,365,201,434,979,645,886,097,706,780,787,264,934,222,214,240,864,263,905,
259,359,755,576,989,275,622,101,169,339,708,125,262,978,701,876,647,735,085,
996,138,007,223,984,996,637,491,083,884,573,331,551,323,381,325,611,511,155,
588,819,126,939,576,168,641,366,398,432,581,542,736,280,173,734,010,946,447,
820,696,636,316,302,346,960,554,118,925,160,975,620,265,942,477,242,410,070,
641,716,480,967,355,053,483,941,495,138,382,186,436,919,029,389,150,349,543,
728,142,197,624,864,793,019,800,461,486,856,281,095,518,207,887,542,828,282,
717,496,757,017,633,361,837,201,225,897,838,600,084,948,404,752,678,046,804,
336,063,589,878,967,782,966,825,508,922,520,433,370,781,082,718,622,166,216,
270,085,827,839,902,239,351,404,563,112,776,460,517,294,215,756,713,045,086,
829,200,602,255,281,260,900,538,752,717,693,377,901,950,693,996,389,540,779,
051,396,225,459,266,647,661,360,593,197,350,833,646,958,851,248,242,183,333,
771,399,668,378,212,584,099,661,300,285,957,636,882,548,980,370,786,592,971,
540,349,077,684,281,256,834,931,741,449,103,915,199,907,693,327,972,311,691,
180,143,711,178,988,961,220,066,462,662,020,596,604,279,444,497,696,399,144,
803,286,238,008,788,640,566,492,993,976,079,411,820,807,900,040,184,663,490,
518,350,658,126,817,934,073,040,842,929,704,218,884,444,552,436,177,588,659,
690,803,187,956,827,134,015,268,076,859,986,429,364,088,871,676,694,544,514,
666,358,818,378,178,064,067,390,303,636,054,502,152,265,724,177,479,066,642,
710,265,449,889,583,688,127,303,917,524,254,743,580,295,463,124,265,965,006,
904,466,830,319,214,097,842,577,759,755,654,613,693,841,625,096,427,567,742,
642,447,181,674,141,661,761,977,800,482,163,263,879,803,530,480,398,630,780,
717,619,089,051,678,252,881,809,738,201,003,506,391,178,641,395,044,634,862,
164,980,130,573,366,137,344,914,880,986,701,893,883,134,673,173,202,535,693,
703,846,151,696,300,074,302,161,940,967,114,448,195,206,297,093,518,715,481,
664,548,482,696,153,143,133,346,487,331,041,493,145,659,891,222,365,595,153,
967,359,923,148,287,772,410,180,628,383,032,329,263,094,357,819,631,750,701,
665,790,474,804,284,728,831,627,960,252,002,857,195,404,396,356,180,382,700,
126,519,296,533,698,988,843,924,465,407,508,667,492,988,856,525,151,854,288,
060,572,619,872,762,534,596,827,709,121,983,447,741,948,305,223,173,900,329,
903,822,740,210,481,615,870,568,766,526,223,422,304,907,307,606,245,741,013,
519,157,076,639,388,268,706,739,704,928,843,592,984,982,241,157,822,633,102,
326,531,025,433,166,959,344,507,671,629,048,788,658,030,760,245,156,495,927,
689,828,424,700,651,220,622,543,642,524,486,538,531,070,836,451,584,826,315,
140,057,040,236,030,932,872,879,497,156,769,474,498,754,857,316,847,716,607,
066,157,431,648,802,037,793,540,791,705,275,938,851,368,190,110,836,213,249,
590,394,344,583,032,531,171,242,348,186,664,742,038,679,507,342,548,844,854,
118,060,675,662,439,570,374,885,535,104,402,889,500,830,091,078,881,340,083,
770,960,889,373,583,963,970,961,172,357,879,636,103,190,200,349,136,909,907,
280,193,409,191,789,405,345,686,744,257,925,162,362,540,793,031,928,733,303,
575,868,645,326,201,928,630,282,016,429,361,714,172,478,464,098,704,299,938,
986,729,298,231,357,000,126,446,222,465,111,267,268,985,447,317,717,300,707,
071,829,637,649,847,872,666,546,293,766,423,030,828,483,622,834,988,384,546,
826,509,937,995,948,333,022,496,424,235,258,347,759,825,508,133,611,419,936,
403,748,373,184,606,668,632,215,845,267,464,199,674,258,148,106,235,629,488,
366,616,704,909,901,432,982,061,343,688,370,535,989,586,105,071,495,409,439,
751,506,768,323,052,042,259,777,295,246,087,386,825,557,071,870,578,052,504,
323,639,345,685,604,301,529,348,224,359,804,278,147,920,443,972,264,009,812,
891,673,939,875,107,761,645,508,327,010,967,595,604,413,991,231,091,854,597,
287,446,298,252,323,370,224,972,914,855,717,765,746,221,155,393,548,728,597,
515,584,094,421,355,642,679,173,498,746,820,774,471,826,686,669,157,075,821,
112,888,139,462,747,429,652,006,659,126,226,070,342,973,695,126,698,485,707,
661,960,215,375,113,748,442,765,150,916,055,918,746,821,251,141,107,282,833,
917,747,520,664,137,594,996,606,243,350,831,534,664,603,150,093,055,559,300,
188,055,180,515,571,249,020,789,125,308,731,266,529,794,564,947,068,796,067,
001,493,551,214,386,429,737,752,782,794,036,844,917,464,700,011,389,154,745,
159,824,905,304,045,776,750,509,443,244,234,456,584,642,900,765,528,673,805,
986,172,437,914,196,166,463,216,757,575,400,598,546,495,975,983,708,684,605,
416,236,859,759,796,863,406,650,699,879,849,530,602,631,073,076,063,780,751,
159,233,138,484,387,642,584,364,268,197,122,089,489,265,938,722,073,135,252,
392,997,554,006,253,353,884,855,085,041,279,676,501,689,628,130,021,355,325,
511,486,662,082,662,599,757,147,344,149,094,120,797,321,100,205,667,411,235,
134,656,225,550,210,862,231,020,282,267,917,912,899,346,195,216,283,526,399,
222,133,135,927,171,431,020,425,578,167,999,367,202,170,648,214,065,910,072,
851,073,858,433,433,349,839,543,269,976,019,819,543,233,423,784,138,406,510,
899,160,993,958,282,665,106,793,188,814,327,967,793,765,689,490,615,771,790,
033,685,332,877,085,763,648,679,533,081,079,344,530,460,041,676,914,706,911,
922,024,447,634,076,844,931,901,794,531,067,524,507,403,546,193,027,752,136,
448,541,875,089,998,332,500,617,987,647,734,893,534,955,918,916,471,236,318,
520,735,692,198,951,387,803,113,060,292,370,299,675,786,327,436,441,246,678,
889,171,947,066,564,414,385,629,528,578,517,369,362,532,958,159,764,179,452,
333,367,283,606,978,291,290,237,608,459,070,075,808,590,231,197,011,919,076,
534,809,440,507,917,522,841,546,101,812,879,769,244,760,848,520,491,473,441,
773,503,782,702,563,013,087,802,167,533,424,853,500,752,081,129,801,082,466,
302,275,517,956,622,538,855,140,715,285,307,963,737,152,796,585,191,666,401,
411,555,722,884,540,481,352,994,612,126,874,132,881,298,854,944,797,802,045,
943,069,759,428,466,912,890,662,274,307,004,361,417,666,399,654,750,062,697,
381,566,126,396,886,560,786,314,697,161,799,032,365,246,585,097,228,910,760,
410,964,168,567,637,784,630,360,706,591,809,568,768,460,412,061,013,249,602,
889,250,347,778,202,133,814,658,897,889,236,429,240,797,415,043,200,709,314,
835,284,757,359,992,242,299,284,965,150,867,074,469,906,744,135,068,436,328,
096,227,601,773,513,646,281,622,955,099,692,327,889,865,262,582,602,267,921,
217,346,114,785,306,723,952,098,820,069,118,690,606,299,644,999,283,530,726,
431,876,226,305,899,423,767,014,269,962,932,954,275,131,863,632,001,606,967,
906,456,401,753,407,038,382,481,292,008,098,009,807,959,614,608,346,095,706,
674,730,155,682,043,307,471,614,072,911,321,751,433,408,969,587,527,044,330,
675,956,207,215,290,083,254,668,920,133,288,896,941,916,709,160,253,241,582,
717,070,471,611,307,309,085,161,355,500,998,655,929,754,865,642,993,670,294,
955,744,289,129,428,406,615,199,799,022,853,901,851,984,905,470,587,475,978,
754,228,821,937,575,811,341,200,388,522,160,417,377,704,216,129,863,734,927,
542,788,521,430,195,547,210,818,811,708,902,645,595,794,758,558,671,851,255,
212,024,614,562,087,039,235,271,092,235,173,185,714,714,674,196,715,271,950,
268,771,435,561,695,871,021,053,325,147,222,020,153,307,814,568,668,917,631,
604,129,102,241,696,890,303,656,130,182,345,122,776,210,596,692,313,264,866,
654,533,741,961,280,535,474,837,437,369,108,025,971,667,766,745,858,512,876,
855,970,177,779,102,484,300,729,839,934,556,679,297,371,984,946,410,379,069,
867,491,627,698,135,806,438,924,840,735,615,605,390,784,800,547,095,600,186,
647,759,780,126,957,678,321,839,162,865,692,840,914,989,064,791,889,814,008,
634,000,214,965,411,009,843,467,837,995,374,205,620,597,487,259,675,161,435,
628,655,158,238,238,501,613,351,843,293,153,153,137,956,299,951,460,936,708,
815,177,706,095,505,762,313,766,835,174,768,754,759,886,810,392,801,779,906,
600,038,278,900,124,418,302,857,821,033,112,121,042,530,100,019,172,776,926,
215,300,801,581,160,409,225,662,242,141,742,490,379,268,765,148,704,594,345,
214,427,530,500,355,859,155,895,861,351,261,871,496,690,677,764,148,955,056,
267,480,283,226,265,830,466,923,804,473,084,045,679,631,984,900,777,455,404,
546,865,234,265,546,414,162,946,740,151,301,819,073,637,507,913,849,774,114,
033,787,216,969,085,797,058,166,069,865,959,392,094,148,979,025,729,920,314,
021,094,185,005,082,827,915,710,168,435,685,586,122,290,589,235,825,927,537,
140,953,628,181,406,693,445,196,997,430,113,407,225,607,083,399,628,348,656,
733,481,480,805,421,149,166,449,315,861,972,989,049,170,676,494,800,144,635,
428,271,636,359,170,819,799,345,250,793,693,720,898,206,867,813,787,902,194,
064,982,618,828,323,384,283,953,348,830,785,487,206,480,227,505,128,381,773,
809,570,932,586,217,959,299,861,433,055,846,080,766,930,498,327,585,953,571,
233,575,822,096,201,578,084,450,083,471,196,804,294,027,810,046,769,040,371,
510,726,745,660,936,871,770,392,833,832,377,738,268,037,965,980,281,840,888,
905,313,049,196,850,226,958,541,996,967,460,960,932,390,186,319,257,895,842,
159,972,005,612,235,835,012,134,978,666,239,687,820,090,144,947,711,033,147,
161,652,580,605,535,153,021,240,115,403,977,556,408,521,072,382,709,456,422,
779,487,642,155,759,201,212,960,147,412,652,847,598,006,290,638,380,563,291,
571,241,370,407,196,050,074,592,856,149,710,881,939,892,027,285,838,957,170,
570,121,167,073,990,653,670,403,269,602,546,885,596,290,987,937,584,100,540,
044,468,123,772,389,312,616,546,625,235,300,623,000,667,577,406,628,528,941,
531,489,679,099,878,542,374,242,771,407,956,404,485,377,941,104,881,267,955,
539,357,791,353,939,794,076,400,757,096,424,757,776,411,062,300,607,614,605,
457,511,667,225,239,315,045,521,512,762,531,205,293,251,518,238,488,282,484,
373,132,340,403,632,903,730,441,981,334,397,984,067,411,757,838,418,022,340,
528,667,674,273,934,101,214,686,803,059,742,530,578,950,344,776,790,001,018,
315,180,981,574,718,724,987,090,475,787,140,946,963,191,236,977,433,428,253,
859,836,747,919,319,260,028,389,637,020,329,870,958,319,448,467,604,484,453,
564,763,313,500,921,275,019,782,500,610,069,188,040,214,561,525,710,688,877,
275,962,319,299,740,703,612,726,306,163,440,351,028,239,598,041,357,291,098,
000,029,400,163,602,845,619,246,830,435,236,388,203,090,579,593,428,117,365,
192,107,630,917,890,827,208,014,458,475,797,040,728,440,353,819,614,059,362,
539,300,051,241,745,695,703,338,875,033,561,929,803,118,906,942,042,915,270,
051,830,212,809,039,803,439,270,577,993,397,744,175,661,450,863,968,470,831,
565,263,535,761,141,212,984,603,977,485,009,367,220,039,801,223,674,610,352,
446,736,100,892,113,957,389,557,370,941,818,795,897,527,986,904,874,660,432,
380,826,805,740,367,300,308,508,965,675,471,039,912,687,934,474,485,024,831,
043,917,048,573,381,226,798,445,778,934,645,805,868,649,188,658,395,578,547,
287,624,906,595,973,266,020,531,425,590,965,190,691,258,236,469,424,609,120,
849,288,825,054,662,022,376,527,497,868,005,458,424,351,741,072,351,959,334,
938,861,624,565,025,989,274,721,765,596,369,471,133,178,862,138,420,794,934,
813,204,946,444,139,085,456,643,351,403,914,154,674,244,505,667,620,779,534,
158,861,578,863,866,494,706,716,687,347,696,204,971,524,734,704,972,212,915,
349,914,524,443,332,631,263,168,236,575,381,495,278,509,293,071,649,562,805,
882,589,535,862,556,539,559,550,899,667,987,226,928,507,024,687,987,602,304,
138,119,965,229,419,612,384,944,097,798,212,459,706,912,232,962,409,156,232,
828,254,132,329,861,947,150,181,807,907,200,132,727,567,254,918,917,282,705,
828,533,657,751,648,233,875,019,212,758,909,009,593,929,914,177,125,475,705,
647,899,680,398,770,036,808,418,786,435,253,182,416,142,471,685,945,943,204,
821,456,962,217,166,311,109,469,311,545,885,708,858,912,436,452,080,319,768,
730,397,684,556,026,696,904,558,716,987,394,676,951,397,674,044,388,552,266,
056,108,515,183,812,152,590,386,753,716,532,771,285,375,093,221,472,793,429,
048,655,058,282,937,977,209,747,036,493,994,891,488,694,211,653,516,208,682,
381,858,849,104,111,468,978,984,544,588,294,650,946,744,653,011,923,207,495,
488,267,500,059,894,674,793,155,951,129,419,464,309,158,367,143,723,961,225,
516,013,578,308,634,791,185,121,781,853,905,933,549,044,610,494,366,862,194,
536,096,882,331,258,309,719,967,964,092,002,909,034,094,553,205,684,931,119,
814,184,954,984,719,360,230,594,563,252,606,272,031,847,900,040,700,638,064,
279,746,477,358,100,266,727,521,898,209,958,365,958,922,499,058,561,104,356,
139,527,790,643,303,515,115,258,586,894,277,988,445,961,209,559,281,615,411,
990,510,700,195,338,468,270,111,293,811,939,632,590,296,760,080,379,932,110,
363,682,564,205,938,043,166,736,434,479,336,435,569,542,909,286,296,874,749,
822,615,198,511,124,861,744,463,342,327,728,908,828,707,638,159,414,397,324,
763,352,291,747,296,004,338,937,567,559,921,395,124,784,244,442,082,797,941,
010,091,928,575,422,983,442,253,394,407,329,654,001,762,434,975,187,891,899,
490,605,538,277,670,837,272,041,748,098,596,819,088,504,132,364,945,192,053,
367,841,571,251,956,062,453,749,992,800,214,934,652,635,618,264,554,212,842,
963,194,417,582,052,375,688,440,063,768,990,171,480,448,798,425,331,641,541,
780,246,652,164,542,350,731,308,256,998,110,029,828,613,103,976,020,271,019,
892,720,577,260,775,834,997,170,903,574,909,043,549,605,913,156,748,189,168,
137,546,683,982,189,798,307,566,201,249,924,337,066,083,675,498,455,898,126,
130,677,955,884,355,847,084,759,909,093,842,585,588,876,377,403,199,369,377,
879,990,622,747,822,354,614,621,800,198,392,150,796,862,182,148,453,011,955,
000,970,755,849,634,788,982,798,388,022,711,414,244,359,158,732,528,983,066,
417,989,439,512,588,040,488,042,366,780,941,055,449,193,661,817,829,049,238,
508,257,533,613,363,433,860,731,797,920,881,512,759,678,440,547,762,595,600,
753,174,800,781,955,266,164,368,079,576,762,346,871,598,061,456,815,666,085,
867,940,578,156,575,579,193,890,023,026,642,284,425,153,783,128,560,709,313,
788,722,470,653,174,857,349,338,648,740,584,507,651,389,776,201,613,804,770,
313,958,197,531,388,947,016,355,568,050,631,894,352,783,997,250,451,687,403,
215,213,572,951,787,987,702,854,341,263,155,745,551,160,399,133,546,817,001,
203,241,631,973,953,736,328,848,877,782,244,868,184,327,320,670,730,733,887,
591,968,028,448,686,731,285,395,288,729,801,248,431,049,732,782,851,359,595,
343,108,383,255,869,007,903,725,760,219,954,692,431,286,628,896,513,384,394,
495,034,247,405,993,444,579,027,402,764,733,707,473,711,909,063,991,203,085,
276,711,697,402,806,071,116,366,622,202,064,870,172,700,078,855,008,809,521,
114,524,394,565,551,630,847,919,380,427,152,081,693,759,874,571,609,747,636,
873,868,425,303,554,007,628,368,887,483,414,709,973,482,274,360,021,015,235,
939,589,143,498,797,431,770,287,582,329,764,000,420,702,309,359,470,048,328,
227,289,505,662,719,171,255,584,231,264,049,448,413,950,664,125,282,192,426,
431,717,312,539,811,953,957,180,307,729,563,133,187,288,868,266,560,796,471,
530,522,490,307,061,264,683,885,007,603,958,732,993,647,751,980,307,482,714,
673,975,565,602,663,638,166,453,483,913,286,244,058,058,036,330,664,414,229,
788,868,151,089,414,971,181,876,368,567,467,192,292,403,044,934,546,246,484,
247,130,378,889,767,786,774,538,336,336,180,329,558,668,637,693,115,208,298,
239,445,371,115,874,072,648,997,367,570,375,284,632,539,181,645,393,703,103,
162,838,777,419,410,774,465,077,264,388,708,812,657,719,584,550,186,084,022,
422,724,815,274,201,082,510,357,514,426,622,981,449,228,167,355,428,858,379,
241,846,552,130,069,326,554,152,391,082,918,221,357,396,432,393,816,304,988,
943,866,770,087,987,548,580,974,555,351,371,725,784,399,209,160,231,197,899,
189,044,493,909,140,388,447,133,744,993,856,192,536,246,515,654,295,389,625,
398,327,101,593,499,484,763,823,314,031,897,542,727,464,572,590,135,366,824,
757,321,674,683,820,331,854,727,119,017,978,699,708,951,264,091,441,031,488,
994,485,407,494,833,575,589,464,198,126,507,003,263,544,267,494,210,559,960,
908,107,704,146,748,470,926,176,802,403,970,904,568,712,131,452,849,456,256,
854,437,360,441,491,601,460,221,550,556,695,354,841,587,712,512,904,541,744,
790,285,253,023,088,248,151,801,976,124,876,682,457,682,446,942,871,061,488,
724,648,738,426,075,597,233,944,329,360,559,898,272,859,122,724,537,186,594,
399,879,749,322,601,852,665,133,691,708,207,722,357,281,665,149,454,194,262,
518,633,913,591,043,555,243,193,312,395,207,282,236,674,431,746,084,718,795,
589,406,834,218,089,827,176,269,390,098,552,149,035,461,169,854,430,398,070,
749,778,896,107,508,408,675,684,800,033,935,161,555,903,127,951,720,786,027,
447,169,438,940,266,368,592,275,134,855,692,030,822,558,489,914,649,667,105,
869,116,581,763,663,933,754,809,041,370,902,558,090,110,222,753,981,885,388,
288,285,078,084,669,190,781,123,785,972,863,395,570,095,981,216,914,270,427,
114,821,769,369,382,063,211,292,730,922,685,709,500,218,275,147,963,838,069,
214,633,703,829,642,839,274,522,660,855,965,547,566,186,153,351,014,511,431,
180,895,185,542,587,873,496,938,177,043,966,232,634,202,034,497,822,315,488,
995,572,134,893,942,909,582,083,541,061,590,588,327,932,946,750,327,137,673,
507,416,589,463,328,742,526,478,615,151,991,507,816,185,528,400,491,154,535,
636,291,787,983,668,034,471,674,918,757,818,890,550,888,344,612,342,504,410,
221,024,241,981,955,445,643,682,857,691,076,425,254,110,002,352,181,704,325,
571,750,041,301,391,882,052,212,284,290,622,672,300,077,059,865,839,485,216,
383,768,762,463,874,617,328,035,081,719,329,381,733,713,191,080,377,782,632,
391,128,177,717,418,970,381,520,509,736,992,857,938,569,226,067,232,964,698,
324,703,092,592,313,715,875,734,773,395,023,349,992,487,667,268,640,670,026,
234,335,232,914,500,536,635,970,376,524,845,634,020,843,395,676,841,374,395,
798,756,920,284,098,037,212,133,544,330,703,095,435,542,124,032,736,230,671,
080,448,896,329,293,043,203,104,038,861,860,521,296,028,032,408,625,059,697,
931,955,951,972,081,361,939,274,120,566,735,631,651,818,633,925,861,550,534,
409,794,447,976,872,628,140,661,101,968,819,164,223,191,021,171,684,268,698,
945,306,309,190,652,649,917,618,414,781,601,946,434,801,982,247,883,106,739,
077,219,561,823,526,546,630,569,618,951,027,251,603,624,029,188,447,659,764,
916,145,292,662,376,598,157,177,657,020,670,224,290,104,279,013,938,342,928,
576,370,058,516,572,428,169,716,679,635,558,608,794,378,229,000,398,122,584,
802,025,042,618,524,751,970,408,159,866,866,707,257,245,002,808,488,816,628,
431,369,900,554,455,363,478,641,442,808,420,920,305,420,959,159,967,088,523,
966,832,376,190,480,691,245,798,684,423,225,695,304,702,465,626,039,639,913,
303,868,466,943,141,143,906,810,483,716,374,978,305,001,655,053,207,666,887,
578,027,416,027,034,908,353,892,928,867,396,094,744,426,550,698,554,549,175,
999,905,753,415,399,832,303,276,326,655,622,321,211,594,924,463,713,840,527,
590,002,195,516,783,801,536,908,780,403,649,123,060,823,594,739,470,965,115,
836,787,937,343,985,046,125,980,120,712,335,746,619,711,448,735,199,174,602,
976,417,216,296,436,469,160,481,576,899,458,592,192,123,883,539,062,470,092,
119,041,267,303,826,780,616,838,386,272,746,305,832,057,382,318,263,175,005,
800,664,592,881,703,333,984,211,994,144,816,061,147,780,215,760,204,434,687,
498,966,710,260,193,296,619,583,125,566,769,014,137,539,761,901,605,150,618,
812,928,548,237,520,015,960,059,402,805,524,925,357,250,994,141,505,833,555,
801,354,979,073,722,890,717,395,500,339,619,844,970,594,519,838,520,770,563,
511,249,058,542,602,213,342,265,334,188,586,263,488,596,664,952,446,865,379,
661,866,742,464,072,852,859,426,013,394,652,619,977,145,297,243,921,497,754,
719,587,671,088,669,145,991,718,233,578,041,503,634,262,999,793,727,062,167,
976,717,542,048,863,194,672,170,222,932,878,493,363,440,562,594,375,360,091,
501,282,407,529,449,448,732,131,615,268,294,636,165,786,229,178,114,687,928,
410,365,226,450,093,435,505,430,597,815,060,625,119,190,344,912,107,875,023,
592,695,973,036,183,251,008,259,177,871,477,198,877,872,328,861,876,287,127,
130,105,308,457,539,090,311,082,357,626,453,602,294,173,803,363,136,055,889,
497,345,798,489,699,227,576,472,712,270,467,061,810,212,585,354,601,939,756,
414,305,602,690,856,144,980,703,702,894,070,419,125,016,388,315,030,181,524,
964,543,692,721,356,118,187,061,363,868,468,901,586,416,152,153,092,172,553,
606,442,447,513,342,797,380,444,049,798,329,118,606,499,639,179,070,332,188,
307,878,278,977,889,348,505,413,025,885,913,543,117,210,305,332,374,418,678,
716,928,797,408,491,036,191,972,110,384,637,792,050,764,924,396,760,111,274,
062,212,265,217,939,885,510,350,929,131,671,640,585,717,315,111,996,211,985,
262,999,719,024,076,152,912,545,245,925,837,972,542,668,026,977,856,785,076,
143,672,865,655,535,012,457,779,725,742,905,825,985,054,738,138,563,834,057,
353,878,158,155,885,037,317,194,822,558,177,308,899,751,766,895,517,703,632,
118,402,140,859,271,061,427,240,675,666,420,908,086,760,243,526,545,597,679,
464,564,993,280,592,672,302,165,950,642,577,810,722,578,053,114,488,939,643,
570,679,027,989,523,950,563,093,705,900,935,138,554,277,169,889,755,763,798,
066,814,328,785,096,932,041,983,201,757,167,674,206,064,193,868,254,711,485,
633,516,735,110,184,062,571,428,882,981,994,839,525,765,541,562,103,082,860,
691,689,082,903,567,917,839,492,142,218,773,679,616,785,868,509,631,178,381,
610,257,947,491,217,507,676,043,082,634,444,303,312,774,923,109,648,482,906,
841,191,849,005,220,509,000,497,851,901,042,498,910,148,230,965,402,977,088,
086,986,287,463,011,385,638,840,221,291,564,963,114,501,363,005,755,646,497,
130,917,466,172,220,393,093,740,827,986,619,071,176,602,539,249,782,543,292,
837,486,100,166,243,333,727,908,375,272,920,667,396,208,498,322,812,182,510,
727,834,672,803,879,761,573,124,333,041,247,604,592,016,455,662,024,258,541,
666,992,861,590,836,009,792,309,474,515,669,943,582,318,575,421,828,450,950,
836,623,247,356,260,841,047,316,367,788,462,420,201,157,594,463,558,419,043,
181,458,880,685,745,249,639,919,195,644,505,511,228,693,022,615,524,955,738,
537,069,213,399,595,338,824,428,066,274,458,744,513,210,225,465,726,129,445,
597,498,638,712,353,306,762,738,557,069,132,767,954,026,775,790,438,178,833,
498,973,535,928,436,424,703,748,462,377,298,430,137,037,546,281,637,433,438,
588,632,959,818,087,190,705,989,962,332,007,834,662,036,289,477,341,166,685,
798,634,357,051,649,856,844,353,586,992,631,352,495,714,858,187,337,871,059,
565,825,583,291,552,459,415,585,664,379,139,524,308,412,605,915,167,157,704,
338,847,092,529,415,078,021,913,747,782,722,888,850,263,290,068,808,485,152,
630,659,638,503,920,605,285,253,250,212,568,756,662,491,074,527,169,615,896,
027,498,837,985,378,706,253,866,807,422,313,184,997,636,131,951,702,642,265,
780,987,290,712,762,772,681,907,157,408,855,437,809,565,635,094,323,209,433,
957,824,548,527,380,259,438,203,318,276,102,370,196,765,799,597,506,249,656,
685,835,787,143,894,372,889,407,338,808,456,217,303,668,909,907,030,740,615,
390,631,429,701,089,991,862,604,765,183,707,613,820,632,411,241,624,204,271,
175,209,659,050,650,562,035,851,584,875,788,764,119,035,663,346,457,683,725,
974,186,972,579,860,816,583,255,149,911,922,659,537,528,528,182,826,910,231,
076,311,949,129,960,307,944,568,794,757,616,206,306,448,719,574,178,905,252,
842,009,640,615,026,799,415,871,336,089,838,096,312,130,519,234,804,665,635,
805,839,780,225,063,856,422,616,469,109,778,984,936,705,432,733,377,890,449,
447,968,487,342,512,427,450,854,106,068,826,258,048,969,197,685,250,262,127,
373,907,592,886,788,730,281,642,669,383,577,566,433,486,369,473,063,163,334,
698,858,684,414,800,434,930,695,569,128,013,341,627,787,419,404,919,433,307,
505,140,287,668,743,472,487,868,424,850,123,924,398,211,529,977,327,720,919,
025,819,150,112,154,580,394,633,316,965,152,109,865,669,268,543,750,174,648,
979,759,001,756,512,059,293,944,054,338,207,966,510,638,067,206,326,334,789,
636,427,373,154,997,436,827,177,074,149,874,805,365,598,750,320,345,171,063,
440,015,742,684,580,053,485,063,464,593,633,674,056,300,438,071,651,581,682,
322,702,332,477,826,241,254,919,697,061,848,982,336,767,094,680,346,231,856,
546,382,108,736,388,430,298,123,547,723,440,061,595,967,164,677,036,378,496,
121,411,353,194,904,193,031,035,913,418,144,069,080,797,345,567,140,357,215,
983,559,145,551,626,669,364,043,065,201,278,546,576,096,415,068,194,277,521,
069,967,721,755,742,843,025,781,496,150,345,073,998,977,287,146,588,627,683,
321,994,092,557,715,702,981,506,146,686,292,845,617,280,628,487,331,454,613,
623,572,782,317,115,707,335,792,655,676,524,611,380,833,508,290,620,026,560,
433,137,945,317,065,188,290,413,125,134,592,916,063,059,204,374,095,786,309,
529,163,751,923,191,239,883,352,197,129,679,526,528,228,132,394,334,407,076,
322,631,311,593,697,961,304,049,244,646,741,816,377,251,184,801,185,221,685,
072,586,065,769,570,090,699,080,141,745,142,819,700,599,565,745,623,611,510,
317,382,853,177,007,817,582,883,953,442,321,019,684,925,326,396,616,536,938,
807,312,435,811,147,114,340,821,349,742,894,160,117,215,230,427,487,187,429,
161,641,916,806,355,351,515,287,668,893,488,632,385,753,041,024,380,787,431,
828,357,299,369,770,584,180,711,913,992,556,842,213,758,481,668,296,354,433,
920,413,819,478,975,466,022,540,866,132,923,665,298,869,992,377,978,639,033,
195,038,977,363,928,746,396,413,766,861,656,561,441,644,843,795,452,211,522,
660,147,540,846,311,284,660,669,259,778,831,281,677,966,190,985,284,226,857,
936,887,436,140,631,309,794,285,635,842,950,755,743,906,594,768,940,694,043,
820,900,789,970,450,916,941,536,740,832,113,651,062,943,245,214,077,812,317,
089,349,117,487,762,941,391,616,479,615,412,887,216,256,072,055,174,929,316,
828,421,225,104,394,644,437,793,757,065,621,175,710,313,867,306,074,996,016,
510,475,849,599,896,509,507,778,478,261,111,955,626,070,533,841,569,310,753,
270,649,123,456,962,398,778,857,364,389,918,546,502,151,763,593,749,422,553,
545,860,850,186,317,497,941,105,832,368,944,375,817,558,475,079,920,057,421,
941,395,275,978,878,406,879,652,844,441,700,634,741,844,462,097,933,035,028,
215,461,275,835,122,733,560,080,408,978,785,556,313,206,193,470,330,848,510,
365,417,900,193,160,185,710,437,634,418,730,497,608,674,408,511,502,463,294,
020,650,604,881,042,187,343,499,723,054,760,817,851,400,481,546,782,930,715,
624,401,160,239,599,850,903,706,667,202,189,299,353,923,050,970,072,940,803,
248,899,356,606,612,980,648,322,551,450,398,071,037,669,815,077,482,426,607,
802,075,563,529,596,001,051,958,428,048,325,175,655,670,959,369,303,432,702,
431,593,717,709,551,733,991,443,996,178,506,837,508,829,311,354,592,296,785,
122,914,789,819,113,370,462,504,587,994,082,049,134,504,455,349,376,171,542,
479,194,299,179,067,878,865,589,452,595,791,283,988,302,576,298,821,840,312,
830,329,488,863,270,868,519,557,351,597,308,013,284,964,423,871,786,487,937,
355,174,647,238,429,262,335,152,565,147,544,630,315,728,555,835,343,974,485,
376,908,874,946,747,492,709,644,235,593,244,074,361,004,050,348,860,429,086,
954,477,854,419,917,383,788,003,312,626,026,868,617,663,388,912,199,635,964,
666,295,781,205,008,842,912,210,333,254,861,991,307,815,188,847,669,177,857,
701,923,498,457,536,335,481,128,102,431,727,197,944,256,827,033,761,083,595,
875,183,881,582,972,412,983,293,653,083,173,356,864,232,761,769,628,664,398,
362,603,931,581,123,320,049,753,545,631,892,139,746,961,817,202,586,431,439,
585,410,961,567,856,149,345,648,855,035,678,641,961,315,879,463,594,225,687,
069,159,273,516,162,462,037,202,023,110,181,680,434,639,821,416,437,292,863,
007,188,109,813,924,738,706,184,056,118,515,956,183,797,692,547,885,651,517,
699,618,495,730,975,628,673,101,146,016,009,531,567,469,012,062,914,949,555,
327,385,061,479,264,701,170,137,381,977,184,184,097,561,528,625,133,788,156,
703,196,845,613,607,076,781,270,195,693,775,620,462,257,861,416,551,980,899,
756,259,365,665,087,368,427,500,469,026,694,281,028,565,619,539,959,505,485,
914,852,365,261,112,464,829,764,373,338,876,249,954,335,672,731,251,964,379,
442,428,876,199,178,163,122,869,214,412,371,533,274,070,544,850,079,469,882,
966,689,611,986,787,163,032,392,800,175,428,730,731,747,461,259,093,049,571,
312,824,224,488,904,075,733,100,035,490,431,314,515,568,370,645,562,804,656,
318,983,167,282,564,981,390,153,595,160,458,303,322,714,357,082,595,505,548,
742,431,680,042,543,995,014,575,612,780,728,977,474,934,149,409,616,506,253,
156,479,592,927,045,552,255,610,101,220,223,752,139,161,685,638,651,648,272,
508,135,044,800,491,117,436,434,327,806,891,382,594,829,409,923,713,930,353,
365,704,365,354,542,368,704,669,694,803,677,965,954,662,335,941,885,775,386,
873,906,006,834,864,153,343,331,325,396,668,640,699,810,308,766,636,345,701,
926,553,672,879,278,877,582,882,083,495,450,388,332,507,439,390,258,431,949,
081,224,562,356,972,961,195,734,905,238,672,594,519,092,517,353,717,921,173,
677,983,735,645,772,360,655,666,611,099,394,853,073,549,323,864,937,517,605,
799,586,971,293,493,698,071,994,570,556,893,106,643,869,621,836,068,493,603,
016,328,642,872,357,748,418,185,308,482,274,989,301,888,056,091,037,452,120,
757,195,971,639,292,468,807,361,182,078,506,329,392,623,466,036,793,177,860,
059,026,033,452,848,985,211,648,155,675,879,139,075,260,110,975,370,912,391,
773,831,990,854,454,613,236,175,928,018,269,336,861,918,632,907,756,332,357,
168,004,224,835,304,914,716,578,089,273,455,585,859,984,608,175,073,870,382,
725,581,843,381,615,081,319,058,643,784,090,947,756,014,383,738,562,301,720,
387,029,500,001,075,742,277,329,497,687,815,331,475,726,806,871,217,882,770,
201,773,679,700,453,228,340,235,830,247,806,157,448,655,703,873,767,293,995,
785,040,367,754,198,214,744,773,116,437,827,045,894,578,214,008,279,703,487,
115,483,777,016,512,013,282,489,634,096,155,361,205,277,452,458,336,885,496,
366,227,831,839,261,285,442,769,565,726,242,336,140,458,242,048,375,586,638,
452,657,052,788,315,204,437,328,201,994,838,130,136,680,166,595,933,171,214,
212,280,109,241,527,155,939,062,754,215,499,589,317,066,253,791,535,343,057,
636,620,779,395,962,070,636,264,662,956,401,060,576,415,324,438,721,821,709,
433,842,773,689,693,445,541,774,896,021,894,013,195,612,150,144,890,588,521,
119,586,613,274,494,347,469,623,212,712,238,318,651,695,902,893,980,127,346,
072,553,867,578,917,814,648,188,822,872,181,167,816,819,018,964,421,663,312,
572,817,657,720,356,915,339,016,051,058,809,927,739,110,138,400,139,753,986,
524,997,320,139,347,666,850,732,630,931,458,408,000,224,140,588,408,419,111,
243,051,625,300,023,667,567,471,083,033,177,922,053,302,914,495,790,978,558,
968,686,517,862,704,832,166,310,711,215,590,124,596,573,965,278,380,806,441,
306,650,309,363,550,774,884,536,467,884,584,717,851,955,510,122,675,303,878,
691,557,301,973,629,611,779,693,047,986,603,308,246,057,122,228,079,026,468,
762,652,168,805,853,685,184,952,373,777,116,348,650,409,808,513,631,191,735,
987,838,692,437,578,770,049,492,878,681,462,184,104,522,488,260,679,261,577,
771,265,867,290,366,889,473,065,492,650,118,170,902,701,924,115,768,005,160,
914,865,598,034,832,142,370,089,170,542,567,436,981,393,737,748,856,862,003,
986,114,401,765,576,439,138,926,891,996,910,032,068,420,015,129,373,949,622,
986,134,968,104,453,566,543,274,558,868,582,030,408,998,382,951,851,864,101,
691,119,990,895,336,658,709,824,697,073,745,572,154,292,304,620,923,910,916,
961,115,962,163,912,467,697,922,065,403,260,064,496,710,075,145,402,176,106,
551,128,219,406,016,168,395,575,602,320,310,333,483,568,650,475,568,023,061,
116,539,060,470,080,430,429,630,426,866,470,596,006,626,020,513,375,987,973,
105,233,174,205,841,330,179,390,199,099,594,887,976,722,272,905,926,665,466,
543,071,771,028,658,288,445,257,983,799,206,113,592,139,191,599,468,386,335,
340,654,425,454,722,481,273,009,630,376,477,413,209,270,738,566,933,037,641,
939,219,063,889,875,630,505,513,847,461,473,573,449,826,832,865,316,254,345,
907,149,979,686,038,097,572,352,479,928,582,750,656,214,018,545,657,823,399,
217,266,349,305,205,328,558,336,605,423,167,471,724,838,798,356,178,217,002,
030,440,005,511,122,087,518,524,415,926,508,189,723,758,423,723,261,976,873,
513,379,605,917,344,234,130,183,791,441,609,495,181,622,761,674,294,919,927,
295,818,895,291,591,663,715,375,314,947,737,826,565,987,921,590,519,556,313,
454,197,679,730,013,121,970,233,857,963,660,466,636,520,985,124,555,748,316,
368,832,437,028,433,178,332,672,771,352,778,179,033,738,909,340,863,552,646,
271,269,980,061,819,470,395,351,409,559,542,336,964,083,700,398,046,006,173,
465,421,405,411,909,664,428,914,956,090,270,235,712,841,387,779,224,812,404,
866,747,946,779,650,617,122,637,277,889,081,733,743,492,793,785,020,369,535,
403,525,552,603,873,749,929,664,818,376,474,466,420,130,708,289,495,204,663,
176,456,873,438,640,855,597,489,796,410,440,734,722,543,881,711,243,627,363,
076,925,659,050,617,229,832,025,103,032,612,663,966,874,332,355,873,199,326,
514,684,334,275,584,578,058,905,407,135,335,489,438,177,214,366,725,308,049,
538,380,193,829,980,445,783,882,782,187,320,937,340,702,805,116,341,523,172,
019,918,774,167,025,407,350,102,039,178,480,196,890,260,787,490,408,168,544,
811,619,912,631,014,659,968,711,490,563,228,244,946,118,001,924,236,840,236,
755,783,473,674,432,715,747,356,513,232,131,906,294,489,393,034,601,948,890,
689,935,297,079,460,694,545,837,624,116,798,500,025,558,835,478,263,956,656,
288,201,344,594,946,914,019,192,409,512,387,058,133,367,541,812,503,201,225,
675,520,469,060,537,100,078,357,996,558,821,121,579,428,049,417,544,691,350,
889,058,212,885,340,356,848,416,962,160,764,151,463,214,382,219,320,694,756,
430,463,196,330,821,330,532,618,548,334,046,665,418,344,531,185,075,796,786,
867,929,730,977,905,700,040,363,781,381,240,299,548,088,689,404,125,570,181,
194,183,765,576,079,828,283,993,016,550,634,750,406,382,586,861,102,053,099,
070,553,164,684,202,080,841,612,737,473,373,068,977,507,840,481,408,094,622,
853,252,492,120,774,782,335,396,666,506,691,606,331,782,427,246,432,101,515,
316,374,128,326,665,895,166,501,260,350,673,451,832,356,031,876,351,520,407,
467,721,072,179,830,802,708,703,851,080,677,788,596,719,179,848,198,577,567,
381,489,572,645,107,243,153,704,462,850,024,933,843,257,300,089,311,890,284,
318,296,471,499,559,084,441,216,642,747,067,310,642,430,668,872,624,672,690,
022,997,948,030,950,800,195,894,414,066,806,069,710,165,903,461,473,313,248,
610,333,766,227,510,404,552,840,094,695,750,946,258,278,397,356,234,436,510,
437,288,264,493,568,239,595,512,491,348,678,555,919,299,359,802,504,679,238,
408,248,324,615,250,710,991,189,224,538,037,526,777,027,066,349,081,824,915,
160,672,595,556,762,116,332,381,497,374,364,776,481,875,918,152,686,162,307,
722,955,690,344,890,605,779,270,441,981,610,023,159,547,973,675,920,654,194,
355,728,085,678,539,058,084,010,902,186,691,724,888,344,051,501,884,040,128,
480,591,212,656,566,257,923,146,277,818,056,318,808,439,875,558,387,810,338,
566,206,246,700,276,134,017,098,773,646,770,871,905,313,043,690,423,310,601,
017,466,814,059,977,856,254,186,395,326,895,732,979,875,156,473,955,317,466,
331,384,210,588,040,293,463,658,907,152,044,908,450,203,860,600,445,681,395,
825,876,979,859,539,877,161,949,747,118,752,004,177,045,924,868,356,381,539,
762,251,671,453,255,271,872,644,389,638,023,018,733,540,389,560,057,608,592,
608,119,870,669,810,682,116,169,692,958,103,739,552,888,209,911,090,988,613,
387,480,101,485,230,119,635,810,142,138,644,684,512,357,073,173,809,364,734,
463,579,874,927,714,655,935,641,342,034,562,671,350,288,795,276,311,388,995,
370,463,250,640,696,835,122,076,018,715,426,812,324,117,735,565,034,340,317,
452,303,795,595,309,327,838,281,230,623,867,562,505,557,416,926,711,554,707,
170,241,022,510,953,704,484,328,065,888,317,003,364,571,866,389,383,303,132,
212,542,205,874,448,087,069,605,789,698,519,593,049,883,419,869,309,938,177,
691,275,648,886,896,692,384,262,983,365,372,393,461,606,536,599,703,983,689,
985,212,713,850,514,550,084,998,319,786,952,939,902,420,166,338,919,237,377,
831,542,800,188,609,249,619,437,203,600,597,579,600,028,800,451,590,997,049,
729,901,880,932,890,882,779,933,888,835,389,905,190,115,706,712,423,001,530,
486,195,277,301,755,416,395,343,225,343,785,111,087,803,066,469,765,432,924,
770,647,691,105,226,045,865,102,772,522,610,206,645,567,557,448,287,993,566,
035,085,769,810,877,380,092,575,022,048,808,499,796,157,732,810,658,388,337,
788,004,857,809,872,644,672,665,574,505,125,651,732,429,830,726,702,260,943,
620,388,284,629,971,148,434,292,786,776,801,479,440,694,309,692,189,494,118,
173,838,289,125,530,460,510,961,459,774,507,681,457,803,693,948,955,772,291,
188,482,033,003,508,544,274,150,601,266,856,105,925,904,474,781,081,108,439,
067,304,104,343,754,229,045,096,863,753,736,192,029,935,152,484,924,634,483,
393,585,535,185,825,287,680,938,335,166,828,918,276,949,790,326,787,604,770,
749,259,130,489,840,300,557,845,977,955,716,405,383,233,163,096,617,275,379,
380,243,176,720,218,306,775,223,506,924,545,910,577,822,199,256,538,728,959,
630,918,133,532,389,296,543,579,227,516,723,839,595,283,204,329,820,082,175,
888,607,810,415,014,676,792,882,815,877,259,992,075,901,997,046,281,454,501,
972,875,815,278,066,060,039,794,943,292,051,423,050,016,349,554,026,445,854,
330,651,189,586,088,917,578,857,942,518,075,602,844,313,239,288,857,896,379,
810,657,454,933,179,450,648,948,549,278,293,475,920,083,366,492,025,410,074,
247,207,076,033,957,844,419,045,894,226,648,826,638,877,190,962,913,396,869,
854,987,426,962,325,520,874,352,646,909,852,654,116,714,473,705,277,936,488,
026,784,961,703,880,879,047,789,059,845,419,128,652,177,552,102,539,857,449,
531,039,372,102,230,760,362,050,582,491,844,920,147,068,138,366,685,092,350,
933,722,450,578,297,377,690,126,167,297,705,836,949,451,945,360,909,151,935,
827,570,672,769,667,390,395,835,870,663,567,302,992,942,213,241,606,048,162,
559,858,726,163,058,422,620,408,503,932,878,603,362,410,933,552,986,997,281,
487,144,346,199,821,279,920,450,460,740,659,727,237,994,786,561,748,112,601,
701,070,912,521,896,710,992,323,610,399,728,774,200,227,259,490,525,606,259,
651,093,840,675,607,498,530,377,000,882,562,124,192,417,730,979,687,244,190,
573,068,819,349,244,850,591,015,154,120,939,461,526,494,041,831,604,988,831,
044,937,333,894,245,766,845,215,879,952,016,024,405,862,559,209,846,600,408,
835,052,565,598,896,237,480,172,491,675,047,590,755,971,711,847,148,623,053,
340,219,901,562,870,179,594,232,677,712,581,656,338,769,147,155,881,577,481,
226,294,063,880,234,022,237,397,856,214,829,893,503,916,683,345,648,429,989,
101,583,648,754,538,064,321,755,006,352,020,261,586,522,597,357,419,653,830,
063,647,238,717,018,806,980,377,670,509,014,528,718,177,284,233,875,752,151,
901,764,595,497,763,390,756,040,426,004,597,694,185,623,927,898,842,888,956,
356,083,079,801,242,172,100,689,591,835,196,327,789,248,777,647,687,175,001,
182,016,799,019,701,747,389,808,748,683,136,910,817,163,034,834,766,242,209,
264,570,871,739,502,220,986,923,963,679,434,966,320,450,462,162,992,708,906,
198,951,965,474,995,314,605,594,189,423,952,397,590,258,142,734,323,426,009,
847,154,638,638,016,226,556,659,503,686,257,141,743,877,513,931,813,150,419,
919,533,769,367,508,629,729,341,934,829,007,797,679,209,008,974,197,307,231,
236,742,767,612,409,037,955,542,169,169,730,596,672,191,264,474,589,381,173,
098,803,942,557,543,846,593,577,393,154,620,638,781,515,752,671,736,252,682,
412,988,189,339,935,722,415,773,796,876,130,307,915,141,694,438,364,447,617,
362,585,468,145,092,718,343,872,900,621,226,782,139,702,023,781,423,477,526,
287,420,234,737,310,930,521,765,402,036,512,223,325,132,939,334,156,794,210,
580,244,801,726,959,426,489,958,031,173,914,076,902,843,424,131,406,021,878,
930,478,599,860,777,618,174,176,960,279,744,688,823,563,433,983,703,983,129,
851,652,145,198,971,927,635,706,603,273,062,010,114,405,676,324,649,850,894,
270,679,844,746,722,484,779,505,197,917,957,391,870,819,509,060,511,847,379,
125,945,774,431,874,937,632,186,412,557,464,958,731,203,287,649,802,394,969,
097,137,765,606,311,202,112,650,698,382,692,690,747,885,300,648,385,372,409,
022,117,790,556,081,665,949,683,325,741,156,391,952,714,985,259,590,019,603,
858,119,696,366,911,548,973,839,109,322,081,339,439,851,792,440,209,107,863,
183,431,721,246,507,792,771,710,271,682,529,352,425,464,345,355,386,321,001,
818,910,282,022,801,471,121,736,781,708,102,216,090,451,055,481,549,721,677,
691,846,715,208,329,784,262,962,063,603,416,781,979,004,489,281,040,381,330,
282,618,390,703,821,479,603,793,606,261,198,728,938,425,987,025,426,732,564,
277,503,652,171,568,210,531,727,522,067,835,910,899,736,045,117,597,587,788,
431,370,236,366,287,987,695,493,381,447,046,209,133,485,204,179,185,476,251,
156,982,909,798,608,038,918,016,543,111,332,311,104,545,170,329,156,669,327,
384,181,681,414,934,304,255,721,720,162,427,224,735,131,988,489,493,588,371,
899,896,353,566,921,122,932,636,650,134,486,142,781,956,419,287,360,462,920,
261,781,379,630,754,688,754,901,018,909,876,557,921,040,275,961,773,405,974,
964,643,381,092,658,986,869,866,005,561,935,852,342,211,351,541,533,203,844,
004,344,154,978,361,393,476,896,079,139,182,468,422,060,853,055,292,107,329,
576,371,341,187,156,209,775,742,299,266,190,847,738,577,287,795,971,046,155,
720,921,868,850,517,493,146,249,179,962,854,100,543,086,946,127,415,279,926,
096,544,622,260,135,751,147,696,318,498,753,114,603,265,825,552,165,350,282,
044,033,407,175,127,651,699,350,727,580,287,454,686,868,185,279,011,155,103,
430,827,578,131,634,397,222,971,653,918,258,035,162,717,132,655,686,590,268,
667,737,626,224,211,596,145,812,049,994,602,538,156,180,114,987,349,875,493,
520,764,770,518,903,344,776,354,693,462,686,340,113,313,303,795,440,497,460,
084,131,151,687,883,146,017,840,856,156,988,582,047,848,497,224,037,998,600,
545,076,709,690,613,096,387,094,708,912,245,178,526,663,957,046,261,394,780,
833,348,911,685,058,853,774,004,559,619,243,669,747,719,138,720,483,773,286,
498,595,272,264,757,342,960,390,900,671,886,227,272,548,987,893,212,874,487,
696,621,392,041,659,518,150,569,627,120,573,463,117,029,262,408,456,006,311,
234,014,379,223,172,139,552,435,001,470,642,202,613,883,987,101,900,159,421,
922,718,061,568,499,915,575,706,179,194,679,876,443,171,476,654,370,764,155,
011,991,422,050,197,323,431,140,227,147,970,639,690,278,914,269,370,213,002,
345,011,409,761,574,979,134,197,767,878,965,030,729,985,500,280,099,291,909,
844,264,188,924,648,734,946,239,984,224,436,973,420,968,567,926,770,051,442,
970,406,182,413,829,267,402,758,968,980,066,667,207,043,360,689,842,495,599,
221,387,925,140,629,591,197,964,659,266,989,241,411,509,259,491,760,041,401,
954,141,764,787,372,896,754,772,553,088,884,359,592,126,370,583,198,710,566,
236,233,837,439,756,352,817,959,497,241,110,044,354,579,175,284,824,648,144,
213,382,467,247,134,135,350,914,276,698,657,704,028,433,737,574,367,618,265,
946,630,606,728,612,028,227,448,577,972,092,879,013,572,700,871,453,277,156,
682,381,856,790,334,244,441,533,529,724,410,425,750,470,802,844,106,139,933,
359,893,837,870,473,075,207,484,834,933,722,055,120,938,930,468,974,637,437,
454,204,202,964,625,342,683,578,179,461,404,011,649,946,389,633,817,965,420,
813,266,874,779,284,788,022,747,915,974,477,483,315,502,101,454,328,386,684,
878,797,353,325,325,952,066,471,599,324,379,793,829,174,849,642,339,298,155,
492,842,540,001,416,360,037,003,458,809,146,086,617,065,976,623,708,997,465,
378,474,074,062,227,690,186,329,720,064,256,108,054,999,660,619,150,358,894,
613,067,308,445,114,630,185,760,259,334,128,571,900,883,423,574,674,121,339,
246,055,377,011,618,150,459,763,363,083,547,003,314,301,535,177,662,601,424,
149,638,947,523,299,895,588,837,795,971,327,925,786,511,773,405,060,712,356,
082,804,968,252,331,335,595,718,182,235,215,961,816,459,918,876,750,221,968,
847,778,261,214,122,083,576,594,177,813,312,391,920,438,444,692,335,508,050,
254,905,562,778,767,002,914,206,600,264,541,139,594,100,198,965,264,525,168,
405,302,036,367,218,626,482,122,775,101,501,538,674,511,469,664,828,692,033,
192,410,873,580,234,256,176,012,045,310,039,968,007,637,131,398,726,591,312,
351,619,588,714,949,302,523,031,671,822,377,943,351,511,358,823,314,487,344,
480,696,669,925,828,456,425,049,096,837,330,962,760,118,315,316,375,093,915,
668,926,512,648,405,419,852,590,473,906,353,717,694,937,300,518,098,909,530,
695,569,253,877,220,051,681,250,032,618,023,517,417,710,134,668,982,420,254,
576,951,370,784,942,906,562,919,133,194,272,014,986,744,324,268,246,567,987,
781,427,022,285,867,701,936,056,663,329,737,210,483,278,627,388,284,507,957,
660,827,557,751,577,424,283,148,820,403,849,436,698,243,454,067,695,395,558,
000,194,102,418,953,732,796,241,779,110,692,799,053,461,631,218,461,868,333,
071,269,223,722,859,857,463,480,980,480,883,141,224,196,567,790,693,636,935,
842,689,785,355,995,685,267,188,610,943,732,171,640,952,551,724,496,617,512,
705,026,057,580,623,086,016,040,781,823,010,234,199,171,799,823,464,639,738,
913,023,689,157,709,664,847,929,164,536,969,074,360,035,207,500,190,758,107,
608,523,076,130,729,958,234,546,432,961,123,208,515,086,757,946,159,036,125,
039,116,383,811,371,438,045,908,155,673,301,444,754,739,978,496,392,265,475,
970,655,260,473,290,347,717,381,602,990,441,984,419,537,109,945,277,006,985,
595,713,218,907,966,700,860,325,993,288,688,048,698,663,792,155,998,520,694,
142,826,018,185,865,822,407,637,461,043,787,577,772,732,356,461,005,988,836,
419,700,927,070,254,568,798,309,490,706,989,620,910,981,692,493,178,565,542,
985,974,159,368,146,051,051,281,450,486,794,830,452,413,962,460,563,529,593,
456,617,059,965,174,971,544,108,588,715,255,447,499,205,647,438,527,859,073,
212,984,630,059,945,013,795,629,655,768,641,442,187,552,458,372,046,082,635,
451,443,479,520,127,984,120,627,212,466,897,344,344,680,855,478,629,279,239,
944,248,040,204,335,392,209,835,595,466,660,079,763,233,333,744,733,049,272,
784,049,786,999,822,899,185,022,789,203,613,359,514,323,062,987,871,994,600,
867,063,983,436,003,940,751,733,553,754,454,332,222,966,026,438,282,634,515,
440,077,929,864,563,242,561,040,755,886,765,588,872,294,004,599,234,469,183,
817,911,058,985,740,572,041,434,827,033,823,193,825,057,720,554,772,002,623,
229,426,349,232,066,384,180,326,666,042,347,370,004,361,152,162,888,260,548,
201,892,723,485,842,342,564,371,983,105,640,672,321,753,562,157,866,255,743,
742,421,655,134,852,407,468,713,142,071,547,551,821,551,359,818,975,305,513,
161,434,782,348,872,764,036,768,495,448,964,747,337,931,565,817,825,424,648,
949,873,232,103,211,894,845,574,689,753,818,239,190,298,230,830,355,868,613,
401,303,042,302,583,431,101,453,064,812,781,841,348,432,032,143,134,452,578,
473,377,156,866,565,233,491,268,674,741,804,464,384,123,735,139,889,750,093,
051,071,614,382,010,708,885,075,209,937,941,824,136,608,941,347,591,902,573,
135,070,765,850,718,299,490,430,595,504,714,170,186,879,077,082,745,250,466,
271,670,376,797,813,623,121,592,999,966,394,288,057,575,796,626,934,946,235,
274,005,688,099,526,557,981,037,212,765,629,701,526,617,119,455,024,608,485,
393,097,879,320,043,864,333,064,646,654,569,266,728,179,259,734,094,438,066,
888,846,105,406,174,351,976,181,621,372,162,558,411,194,066,145,829,237,421,
841,159,663,566,746,398,217,070,262,713,084,432,580,553,435,245,185,163,456,
181,712,972,039,341,183,728,768,878,972,888,254,116,984,660,819,032,267,399,
150,479,151,080,717,591,966,123,461,055,415,616,151,813,097,575,455,871,946,
701,493,983,282,937,446,140,397,361,552,266,470,819,068,415,359,090,895,797,
453,707,421,781,933,518,517,436,119,807,383,006,592,472,660,656,129,723,228,
658,793,619,852,215,054,921,199,198,874,587,520,608,932,276,708,292,962,262,
125,417,851,141,216,492,440,924,137,874,397,118,977,655,931,819,871,869,826,
677,669,037,286,958,567,910,833,530,303,156,330,343,477,448,518,413,156,274,
295,378,178,372,663,346,460,501,043,429,190,690,614,680,297,580,163,362,133,
140,621,080,737,989,609,700,878,510,673,116,636,863,452,995,604,068,532,412,
451,851,473,192,061,788,532,515,530,466,519,353,929,179,940,890,488,760,566,
218,367,034,371,755,126,579,864,006,455,000,985,847,425,466,701,493,402,172,
037,203,492,280,386,303,339,934,361,088,260,615,233,660,109,936,856,040,562,
470,440,475,928,069,445,174,558,739,634,047,141,496,812,304,924,641,822,138,
378,935,128,975,358,827,514,848,666,969,788,812,359,658,618,661,672,803,965,
474,014,118,120,780,170,360,082,614,600,922,378,075,339,228,644,296,563,339,
743,873,664,402,257,688,427,426,292,737,121,408,890,557,239,985,831,192,558,
603,253,490,234,543,768,655,505,560,594,979,554,346,045,492,163,132,832,840,
050,068,868,709,014,353,735,992,537,457,286,469,092,287,168,006,242,586,393,
873,699,738,753,547,526,962,435,166,625,265,829,668,459,643,190,682,488,573,
530,748,005,831,819,078,310,859,474,759,453,058,103,596,947,103,824,645,000,
643,042,699,248,250,548,471,013,579,255,499,707,198,947,008,866,257,406,379,
683,753,053,790,403,972,773,590,675,331,663,484,127,086,933,612,797,420,666,
367,738,970,669,481,914,470,013,901,233,093,940,332,092,871,959,062,668,334,
391,687,218,346,813,169,933,776,890,580,233,484,221,056,056,806,652,574,751,
760,554,425,027,956,175,382,615,047,637,382,956,361,314,570,306,044,395,552,
161,115,264,612,242,342,821,804,308,403,272,665,171,323,012,957,535,782,825,
390,399,138,866,880,283,011,154,632,385,269,234,603,694,918,517,470,821,736,
126,120,030,205,275,838,116,348,866,557,073,732,859,978,991,339,935,809,912,
388,674,846,871,423,645,293,348,047,065,803,825,550,470,316,738,157,656,120,
260,211,093,718,202,265,034,547,253,613,561,563,699,143,033,969,160,095,815,
177,906,853,436,677,960,622,852,943,226,808,753,941,702,856,803,348,077,709,
136,917,385,040,391,905,579,904,941,745,743,680,692,290,371,076,201,207,791,
048,544,949,872,421,247,687,137,281,604,117,844,447,437,029,544,937,470,650,
485,196,042,440,651,745,674,628,663,526,995,208,471,748,941,047,526,233,532,
088,576,874,489,172,763,852,145,584,387,779,217,748,937,495,416,539,829,267,
307,238,427,249,922,905,126,593,976,882,534,865,858,530,184,469,341,470,203,
362,946,370,791,216,761,678,208,166,217,108,748,887,404,755,234,226,857,688,
597,200,513,503,300,289,757,944,368,140,781,079,610,194,862,187,348,648,581,
366,895,003,578,808,369,296,087,592,299,025,497,997,049,866,623,992,183,167,
026,139,858,030,009,028,608,466,531,878,562,405,145,589,223,764,610,633,630,
074,565,373,801,541,572,641,091,162,602,150,409,412,616,032,738,007,859,580,
867,623,083,292,858,507,473,651,251,186,616,137,502,792,411,590,966,047,237,
203,469,325,111,132,547,023,444,973,921,892,415,070,742,221,879,902,380,812,
586,060,587,949,941,121,052,565,493,292,028,896,001,618,033,090,512,793,526,
506,717,504,306,628,016,744,477,262,823,588,852,407,226,263,335,249,451,389,
278,786,560,408,896,633,994,150,300,154,482,163,086,832,667,527,410,377,628,
396,253,813,309,152,265,255,543,498,586,156,672,693,146,668,726,864,141,100,
221,205,811,856,460,044,735,443,582,087,167,006,574,283,238,787,217,106,591,
839,648,206,548,468,465,858,055,908,043,497,520,541,187,437,532,705,525,694,
459,679,808,003,450,786,868,283,444,329,243,679,306,520,355,628,735,696,097,
697,580,269,760,047,209,278,475,788,507,448,408,337,111,672,076,288,259,313,
203,247,871,693,253,172,243,612,135,957,446,696,948,003,179,904,605,144,908,
873,639,243,956,176,571,603,875,038,006,292,235,226,756,654,580,204,442,180,
240,742,968,481,603,774,865,457,099,953,700,165,041,750,447,814,412,046,533,
604,384,097,668,345,305,871,297,592,412,158,347,233,285,953,009,772,556,631,
480,932,451,914,547,933,314,213,575,227,785,287,544,055,685,545,137,553,919,
058,146,129,524,154,810,352,031,599,466,867,098,718,812,729,346,603,447,168,
310,932,145,840,676,336,640,867,488,393,957,165,427,420,778,368,135,769,292,
145,777,455,428,712,884,286,371,105,210,617,835,946,345,673,453,090,970,774,
068,164,439,779,914,440,184,644,414,970,403,997,581,451,658,335,509,702,815,
100,913,137,060,617,747,823,900,657,616,795,770,965,686,328,920,769,394,137,
001,868,360,475,663,960,065,422,826,739,996,991,322,258,887,572,048,849,841,
417,178,398,072,824,096,015,779,375,950,820,902,008,245,005,951,350,711,173,
785,876,688,400,614,977,472,024,877,914,579,543,438,162,238,288,959,326,229,
784,573,394,162,617,570,976,214,735,960,520,779,208,513,670,677,237,919,546,
355,242,034,523,866,625,244,463,347,584,076,904,883,250,536,083,303,858,176,
483,258,186,493,093,036,650,909,369,608,116,634,195,212,585,510,749,264,825,
571,690,625,443,986,904,360,204,393,299,638,582,928,596,002,116,732,153,674,
613,819,144,774,697,746,923,743,091,037,533,532,958,176,074,349,059,043,274,
240,694,676,642,210,542,063,011,162,602,863,488,468,134,568,104,009,430,454,
628,157,126,685,506,316,154,648,546,491,610,392,440,163,608,529,282,150,468,
245,883,899,323,063,128,743,397,598,493,576,354,153,003,370,048,409,505,319,
546,189,117,066,750,945,348,435,817,187,885,989,109,929,744,729,790,958,207,
597,530,551,474,277,599,278,902,439,603,916,695,021,767,531,416,103,170,282,
877,574,677,510,350,785,745,880,675,684,223,067,251,858,054,684,699,124,335,
651,844,025,409,389,087,395,271,997,338,504,504,686,847,745,717,959,035,427,
907,351,112,599,850,148,610,676,506,921,602,073,825,340,085,768,121,986,910,
852,458,256,509,195,277,853,059,803,158,267,945,600,471,524,319,417,504,618,
631,492,593,611,562,082,972,766,953,129,423,104,229,828,141,869,172,637,228,
501,561,276,018,235,544,353,204,423,501,062,606,085,712,037,863,368,848,404,
463,560,344,220,229,255,707,461,920,768,222,656,784,907,038,524,698,266,834,
613,344,305,903,377,008,522,104,579,409,683,542,468,394,231,057,952,457,130,
302,287,613,201,168,359,060,129,876,086,143,373,031,321,006,528,691,003,828,
255,553,397,444,272,103,565,257,732,885,437,697,956,854,577,467,550,850,752,
474,415,023,790,330,017,558,449,626,116,382,648,583,570,883,536,664,918,555,
326,131,607,133,021,293,172,274,004,283,523,759,261,591,443,716,714,321,421,
265,938,505,750,024,737,943,490,927,170,941,672,773,376,607,879,358,310,180,
248,915,807,060,331,889,673,760,709,264,772,429,609,679,213,770,928,710,867,
548,439,423,583,883,645,533,553,397,250,493,820,073,562,083,642,051,766,472,
081,956,419,581,304,066,572,027,152,412,832,664,854,639,403,998,649,685,063,
679,481,411,110,766,913,422,421,410,522,428,359,318,835,563,764,752,623,141,
480,493,347,372,298,905,133,251,601,588,249,121,056,058,067,150,495,291,177,
583,592,327,458,936,539,428,439,738,914,668,830,738,127,024,132,777,861,013,
342,022,271,272,547,790,731,839,462,871,417,108,182,830,233,382,687,864,222,
946,456,934,930,594,017,967,174,890,181,680,084,475,725,487,193,796,979,324,
405,778,304,781,800,470,573,483,232,015,049,528,868,619,349,747,201,357,552,
780,902,186,497,965,052,902,012,016,962,710,094,306,428,545,035,027,066,186,
689,096,233,318,689,380,260,413,760,461,701,538,931,141,826,086,615,088,924,
180,771,489,998,176,306,700,278,035,343,731,197,798,132,133,030,065,499,646,
193,117,792,684,467,011,775,017,333,589,909,097,934,757,148,674,118,991,059,
665,108,270,986,823,129,246,590,585,127,512,279,527,259,055,394,336,665,465,
578,064,368,046,403,468,460,645,267,278,710,291,272,353,936,426,129,675,982,
587,760,430,592,806,691,702,387,252,252,407,857,760,463,223,092,331,392,412,
100,082,110,633,816,280,392,864,949,193,651,610,916,845,764,748,937,783,711,
642,039,106,381,988,957,310,978,167,504,793,133,836,594,056,502,166,780,276,
670,989,202,623,353,805,935,754,542,329,823,444,838,139,539,331,100,771,332,
509,047,530,752,982,513,008,035,853,815,559,559,682,637,639,405,260,414,757,
404,343,720,852,188,019,170,699,323,745,025,507,732,052,202,014,298,357,576,
754,478,044,137,543,552,490,407,180,184,771,880,893,356,547,965,678,898,096,
248,663,813,865,860,351,831,905,642,886,255,011,358,507,384,936,146,259,925,
196,612,262,492,056,630,088,194,432,414,936,332,408,979,188,173,469,850,093,
482,256,637,297,893,365,713,534,644,776,498,558,253,464,978,336,703,007,960,
760,775,632,857,620,192,212,261,694,726,627,892,727,900,069,362,082,697,933,
156,631,968,806,490,622,523,379,906,140,782,198,912,860,521,551,649,059,179,
101,963,905,992,235,535,995,600,599,766,954,664,526,113,011,939,879,646,893,
473,498,946,105,320,477,444,136,092,251,553,128,487,715,027,436,558,740,260,
813,839,302,419,848,593,160,821,820,774,317,671,216,262,521,090,395,791,459,
610,125,277,677,616,509,402,071,487,954,056,726,417,843,737,119,420,453,747,
157,158,884,287,205,962,950,137,126,911,672,308,278,337,474,969,126,182,424,
457,103,019,506,977,895,126,857,043,125,001,375,739,803,329,375,204,994,196,
638,257,655,222,120,777,512,623,179,261,877,416,422,937,553,063,080,104,890,
865,203,920,409,109,119,342,367,561,868,187,769,390,406,079,948,699,400,330,
781,831,357,617,217,820,007,552,080,920,245,051,677,603,880,748,223,386,396,
849,225,177,203,496,192,771,773,418,414,794,313,682,315,521,954,494,001,283,
608,413,802,639,673,531,806,040,201,464,828,499,351,309,315,373,177,527,335,
428,627,886,553,351,767,506,348,628,823,123,066,000,322,246,394,305,542,219,
611,084,437,460,228,378,546,938,339,153,564,087,616,789,408,170,073,536,172,
445,294,906,288,326,237,199,266,718,958,690,342,177,100,919,728,611,366,173,
257,171,193,070,495,024,241,404,609,876,122,274,834,974,639,224,002,735,412,
272,803,424,391,262,401,006,560,433,989,793,877,254,748,890,014,337,236,335,
041,017,006,120,331,421,651,700,196,872,349,775,319,304,174,288,750,036,762,
607,518,734,850,466,719,266,914,674,551,986,809,543,578,773,627,553,857,619,
013,199,176,904,924,573,541,157,463,040,496,814,133,495,046,917,478,008,077,
581,765,054,113,877,887,009,918,263,180,465,482,339,378,051,571,078,676,247,
119,258,086,612,542,129,747,932,869,693,351,573,243,728,185,907,699,019,571,
830,512,511,448,331,310,739,004,272,741,913,315,462,405,762,508,437,354,122,
539,558,466,664,306,308,389,122,611,762,821,053,216,416,110,171,975,756,255,
485,880,521,529,631,752,486,666,440,761,232,173,833,560,821,333,100,237,417,
178,036,801,724,099,995,004,597,825,365,701,032,142,413,409,657,782,888,192,
121,277,289,583,581,425,763,276,329,116,219,168,191,306,818,682,393,848,216,
123,405,407,745,958,220,116,394,924,512,255,047,127,846,591,904,244,410,976,
458,292,205,861,031,631,823,786,482,528,062,980,916,681,532,169,791,298,920,
695,406,544,721,924,867,519,661,666,900,074,454,426,117,682,013,499,888,962,
005,515,769,187,249,192,418,170,020,104,977,461,452,877,477,050,276,979,004,
469,840,319,835,245,201,309,279,021,878,373,686,222,609,116,305,660,454,020,
824,043,399,641,752,350,830,945,761,072,739,995,271,298,190,185,269,000,814,
004,109,487,720,312,721,931,991,634,737,588,133,821,194,491,975,276,089,899,
745,178,866,638,286,590,705,355,578,049,349,272,789,598,657,617,818,752,373,
476,499,480,548,742,242,773,196,283,589,880,525,677,342,752,597,505,840,445,
723,540,045,244,031,993,212,864,573,972,867,760,973,936,409,860,165,756,328,
219,480,609,972,348,765,040,232,140,622,733,644,968,424,009,167,895,719,426,
943,792,940,737,542,155,493,695,248,135,815,503,324,109,472,584,430,719,400,
059,159,069,444,624,818,311,186,300,205,261,651,328,584,971,899,255,585,067,
957,463,472,699,335,907,486,223,804,959,421,655,603,562,166,906,291,250,680,
845,600,766,282,230,552,362,763,957,386,600,914,256,485,140,169,636,747,383,
666,434,711,131,437,006,895,657,628,492,024,501,008,935,272,953,008,436,597,
134,664,015,964,451,963,844,641,531,179,994,884,159,786,509,805,843,856,514,
519,456,858,900,394,317,116,443,835,238,896,867,300,082,780,722,340,996,265,
079,687,661,111,931,565,878,400,589,524,477,648,561,677,226,645,692,121,187,
388,317,893,169,220,757,146,280,655,029,588,668,337,126,720,966,726,835,751,
857,890,673,856,089,284,709,019,952,887,386,124,009,908,571,729,979,089,406,
802,652,258,418,358,712,334,211,968,863,561,705,139,731,617,205,527,007,672,
916,561,878,174,259,443,734,928,718,727,890,778,088,992,770,723,438,744,024,
683,682,660,712,507,764,038,644,358,571,501,942,071,390,295,778,623,406,475,
106,660,687,351,695,918,905,543,716,136,195,431,644,111,852,418,760,907,418,
769,223,246,104,989,452,802,977,844,014,886,145,186,655,150,987,017,285,877,
138,225,393,115,224,020,920,447,395,898,218,997,024,359,578,731,405,018,015,
193,568,712,067,690,367,725,694,755,991,587,106,637,797,030,116,304,485,854,
457,521,230,679,123,618,691,648,944,875,180,462,035,405,773,924,760,072,715,
729,083,063,061,856,526,049,035,258,611,918,903,659,219,276,515,379,513,481,
802,150,657,815,757,656,671,839,311,685,697,871,814,180,095,419,839,958,604,
890,991,595,874,277,839,194,218,727,902,496,409,724,797,021,884,108,523,287,
169,561,431,646,489,430,275,761,746,741,250,278,544,529,570,997,365,974,014,
018,114,177,244,621,173,584,514,811,082,288,264,540,221,192,796,768,868,896,
181,980,677,459,053,307,019,003,254,292,558,384,709,829,095,312,649,428,544,
533,590,840,097,863,434,440,412,595,408,247,250,429,519,431,100,266,541,309,
471,493,383,117,924,121,861,469,788,561,431,134,545,771,084,919,476,073,433,
299,993,330,279,006,318,289,137,718,367,566,066,258,771,669,969,137,299,554,
427,957,933,313,345,014,474,166,506,581,442,705,126,107,279,688,046,933,165,
053,401,122,151,067,556,143,751,587,213,399,993,448,082,646,532,244,576,503,
504,823,047,512,126,534,942,348,967,300,340,559,753,702,474,057,730,716,504,
933,540,343,633,330,691,212,657,065,774,960,388,304,791,381,466,233,474,425,
372,474,670,348,023,787,160,254,870,987,530,506,420,856,660,535,841,946,140,
234,563,373,196,524,972,661,651,716,529,962,901,795,563,855,362,046,815,632,
127,318,075,527,144,247,785,116,323,345,442,405,445,419,987,567,780,651,170,
599,322,913,961,756,221,514,022,643,224,227,716,311,079,551,102,805,822,280,
295,264,098,794,285,605,130,171,614,507,629,721,281,982,284,287,133,622,288,
140,183,751,175,360,394,602,034,651,460,380,532,893,104,011,702,140,368,382,
295,242,920,381,378,353,558,075,024,090,242,447,942,454,548,041,544,757,143,
028,518,341,154,751,007,367,890,071,882,806,797,402,252,128,976,779,349,235,
448,746,250,649,000,659,268,639,259,371,024,009,114,294,480,244,436,946,795,
854,021,816,370,593,123,514,372,232,239,365,465,914,910,189,838,010,964,061,
001,794,065,018,540,675,214,140,188,920,375,190,132,080,710,597,516,669,592,
470,969,472,443,609,305,891,331,512,638,465,195,322,733,508,481,305,481,766,
057,234,152,939,098,504,968,327,442,519,976,083,876,141,710,049,011,494,283,
742,073,248,539,639,712,824,531,933,498,275,467,107,557,626,572,450,202,346,
607,134,501,852,742,537,196,770,135,151,710,617,960,682,363,966,934,307,522,
656,259,531,813,256,754,428,642,494,597,234,529,057,951,822,133,391,248,288,
950,939,788,255,109,841,641,877,322,034,000,360,455,761,982,816,118,711,318,
479,613,724,899,595,007,910,454,592,699,830,107,913,952,892,956,641,611,266,
809,425,610,291,881,661,639,195,925,087,592,809,291,702,302,135,680,969,583,
615,091,658,806,614,640,912,283,638,982,445,450,128,057,203,350,089,686,521,
800,149,200,164,044,514,173,384,250,184,840,053,311,462,801,309,031,130,896,
155,572,239,731,229,261,224,612,440,234,685,936,527,268,954,453,198,723,117,
075,275,764,266,191,772,494,078,202,593,707,280,443,982,691,472,387,897,594,
741,644,643,653,590,411,149,382,657,175,118,837,752,658,528,173,669,337,123,
199,312,249,498,251,420,384,040,653,133,342,401,559,435,492,257,281,929,781,
356,858,018,303,046,581,778,053,781,992,122,271,557,161,427,513,734,771,994,
482,412,837,360,821,080,349,312,391,056,667,531,980,438,842,411,427,877,211,
630,152,242,783,692,139,584,004,125,954,369,458,168,814,808,465,646,482,323,
629,037,983,707,048,257,141,783,370,913,212,840,068,025,043,229,866,909,485,
266,868,304,783,285,444,580,634,757,568,187,080,133,600,996,521,178,795,685,
619,034,408,203,000,500,423,069,966,485,894,356,062,286,645,184,522,050,119,
283,260,635,962,479,138,574,218,244,825,793,036,974,706,487,854,913,226,563,
609,542,226,151,256,231,567,607,479,478,003,372,462,999,074,106,092,887,490,
239,790,560,261,562,184,717,654,100,992,562,632,536,485,648,982,093,696,534,
756,511,875,634,530,136,564,189,946,849,354,076,148,832,006,774,171,178,869,
296,202,585,454,292,478,655,659,835,262,896,408,861,684,106,245,929,036,083,
283,539,705,743,887,109,765,399,248,262,399,368,695,647,747,582,506,761,374,
364,541,213,406,456,027,427,442,412,427,602,901,264,734,374,686,335,183,889,
169,658,126,051,610,805,251,970,946,543,328,660,188,548,439,946,409,028,631,
417,696,178,078,312,367,888,337,507,419,284,929,486,983,020,852,952,312,692,
949,930,362,960,126,772,215,649,467,848,589,682,510,878,789,391,191,629,962,
271,346,020,257,569,798,011,680,968,088,081,284,118,975,981,476,480,409,879,
085,180,629,963,501,073,933,316,231,289,751,650,576,034,005,945,970,045,887,
177,508,172,692,802,066,856,573,478,582,171,369,041,698,727,503,850,106,991,
254,794,587,875,864,575,979,402,202,307,409,986,218,391,757,223,480,116,548,
429,155,433,590,946,980,943,159,765,222,555,773,697,210,721,617,356,937,217,
284,157,922,023,596,030,871,078,717,419,314,260,406,861,332,494,093,858,671,
739,411,760,413,538,333,159,233,100,486,408,604,432,801,193,215,494,111,547,
010,774,127,458,026,151,832,851,456,305,967,134,401,754,601,591,167,186,424,
411,042,866,159,099,033,605,293,054,275,431,775,312,945,140,328,894,659,095,
067,636,574,989,905,006,428,273,649,633,099,439,290,218,152,692,298,089,236,
923,175,398,685,049,826,019,297,763,525,816,378,329,217,211,022,235,780,882,
880,136,060,885,566,796,545,505,511,853,178,675,040,552,359,542,551,611,106,
520,565,631,583,929,106,983,007,960,577,488,175,912,825,140,249,232,412,965,
958,775,063,678,693,027,251,582,553,061,136,156,649,407,508,022,565,470,840,
643,021,705,590,641,251,186,772,497,746,708,630,397,397,478,801,453,284,981,
036,732,473,965,137,371,315,945,081,739,941,091,551,583,261,444,542,228,167,
129,599,436,223,951,929,336,078,958,695,903,438,929,394,640,431,230,156,854,
485,260,205,973,890,638,761,792,830,472,764,101,675,983,060,926,665,529,819,
482,374,517,027,774,457,254,994,007,204,713,691,082,233,594,502,006,241,074,
034,561,059,581,587,441,314,397,721,786,681,382,320,686,415,704,031,622,717,
140,827,740,499,252,952,625,061,711,964,264,718,207,956,357,886,169,013,885,
377,652,530,925,077,950,835,144,057,150,751,716,612,305,418,618,967,077,186,
661,766,228,673,416,813,024,457,916,193,199,268,376,279,728,703,579,920,331,
015,343,598,394,318,970,308,102,044,480,965,598,853,536,246,409,717,937,388,
373,468,269,862,280,540,944,270,141,116,495,540,282,481,985,833,335,123,194,
605,647,672,521,126,839,393,091,626,864,661,778,665,482,192,016,044,342,888,
159,520,964,974,658,275,605,418,621,690,523,461,765,604,769,216,600,349,589,
510,189,806,630,100,923,862,339,564,893,293,335,689,103,754,809,886,600,346,
826,267,916,010,436,440,279,231,316,751,052,715,069,991,123,884,948,272,894,
618,522,367,670,075,275,546,883,190,684,588,854,075,856,871,080,660,545,648,
888,281,915,718,212,007,727,274,781,655,518,295,698,469,869,613,568,368,379,
698,634,758,886,870,221,418,218,337,318,629,249,564,807,082,747,588,623,918,
688,850,178,568,731,931,184,977,310,210,385,575,649,693,272,605,663,775,309,
493,822,767,977,986,803,051,062,504,569,552,226,852,276,280,105,563,799,897,
197,173,259,695,038,921,093,212,753,088,429,911,592,885,002,138,354,312,020,
151,771,040,599,063,499,758,585,239,709,750,712,576,675,353,241,135,887,753,
227,290,229,302,961,171,679,345,218,117,814,892,831,605,728,966,792,545,601,
536,984,108,459,012,750,127,171,897,554,667,071,663,091,616,872,462,475,879,
997,993,491,426,551,970,963,506,520,188,804,673,348,776,920,382,797,346,505,
497,615,133,630,683,894,143,529,772,827,798,877,927,925,538,177,339,087,835,
617,708,286,080,715,818,034,176,102,052,337,706,370,352,099,990,794,612,780,
788,902,572,433,666,381,737,943,861,964,993,001,636,493,580,767,755,079,139,
442,188,283,426,244,177,356,521,034,702,391,534,160,583,951,175,185,830,044,
926,411,504,762,722,851,516,125,566,734,564,047,045,098,048,464,525,071,713,
033,934,005,303,815,163,486,263,365,524,123,911,090,101,554,449,608,686,776,
901,682,618,343,580,237,747,923,415,290,947,395,755,823,524,198,359,864,050,
116,471,695,968,579,268,472,289,288,468,627,685,517,547,149,079,703,275,366,
503,080,756,710,873,546,651,117,557,936,330,419,299,990,555,535,591,848,733,
240,875,859,699,722,689,984,188,493,630,920,791,363,457,895,297,948,685,290,
385,895,898,767,720,096,995,830,345,091,450,074,445,131,528,490,965,697,863,
080,544,596,955,669,633,576,928,034,824,185,789,825,642,869,967,280,951,850,
390,432,381,521,290,287,660,816,590,597,996,430,857,961,747,557,670,056,916,
270,786,150,564,068,303,168,053,293,861,591,163,099,876,935,870,030,905,933,
621,381,168,857,828,036,093,610,211,704,142,315,505,257,877,841,755,464,112,
582,391,990,862,476,443,353,879,609,618,038,587,974,794,661,887,506,251,624,
971,227,719,711,306,418,327,557,216,275,224,508,325,602,978,874,714,773,919,
086,029,666,381,362,424,116,568,218,440,571,772,924,155,637,516,821,018,002,
444,636,485,144,705,313,971,617,060,548,851,902,975,732,661,620,028,256,166,
574,473,267,915,519,024,177,075,395,384,941,750,426,809,179,805,556,380,241,
800,821,358,737,630,875,813,518,669,781,151,726,508,711,630,325,791,966,629,
492,708,590,031,380,614,166,765,049,324,050,023,004,628,705,929,175,431,471,
471,737,962,097,040,127,644,650,647,093,999,550,352,013,501,901,179,690,744,
180,307,045,901,125,552,232,799,072,018,793,919,331,011,968,301,819,370,865,
013,759,789,591,475,276,708,607,862,316,579,750,158,181,498,217,102,726,348,
758,275,719,717,728,131,310,829,873,646,799,762,398,180,522,538,926,496,952,
743,925,336,043,460,619,972,867,161,818,158,180,250,758,825,166,660,668,995,
064,303,485,768,108,161,148,076,665,022,301,669,415,213,292,161,685,521,416,
314,103,370,120,541,673,956,348,088,694,147,394,960,572,515,337,649,362,087,
721,524,810,430,619,629,157,918,998,899,635,468,736,916,800,584,851,517,047,
683,612,664,076,330,897,051,111,965,303,829,174,491,585,267,635,501,236,603,
795,888,299,155,992,590,711,513,098,722,842,117,105,329,088,145,336,748,914,
729,712,758,726,958,502,964,515,439,022,322,928,428,938,762,941,401,971,920,
242,603,394,342,467,877,003,742,173,265,852,382,413,184,751,394,479,570,856,
697,086,537,417,354,650,791,850,776,839,695,338,090,229,258,368,411,453,165,
494,606,924,565,102,860,784,186,736,087,649,720,760,621,403,031,247,523,598,
954,366,160,587,535,851,820,110,794,094,810,140,495,323,026,888,643,100,663,
431,626,230,230,144,252,266,431,081,024,653,928,270,510,812,810,724,508,834,
160,365,293,530,021,298,195,301,506,718,119,073,101,497,262,660,097,394,560,
872,369,285,345,743,878,099,831,994,039,334,366,184,562,028,593,506,144,686,
553,054,011,538,873,787,930,997,584,077,325,679,499,864,322,927,177,728,282,
774,817,136,032,813,533,794,418,774,392,187,773,313,571,751,293,377,090,011,
414,997,318,194,809,663,903,733,365,882,446,837,012,968,026,485,960,434,219,
352,474,241,955,560,280,112,132,943,714,534,358,943,957,505,184,127,792,156,
930,211,434,601,010,075,220,807,117,397,860,943,774,657,918,128,215,848,083,
429,068,169,478,441,511,943,331,404,173,938,071,466,208,167,481,088,041,461,
070,079,212,697,762,279,530,830,050,179,817,294,678,379,994,939,863,204,962,
627,302,354,607,689,929,982,536,299,382,961,318,492,910,215,457,874,109,483,
402,635,308,957,250,737,081,914,506,828,398,997,727,326,699,278,159,888,425,
979,415,125,014,001,642,023,161,398,534,523,311,267,719,488,396,476,615,291,
537,438,986,798,911,894,311,048,641,645,761,167,657,195,501,767,280,834,327,
900,924,758,998,970,993,112,245,395,658,500,914,635,696,823,480,093,338,532,
095,600,688,539,699,980,514,906,777,092,306,695,668,181,563,888,388,308,361,
679,319,366,191,227,537,796,308,990,297,029,275,868,592,753,356,804,292,598,
760,682,069,223,601,186,602,394,810,362,544,370,723,731,502,836,119,728,336,
559,123,772,382,425,756,823,550,380,060,226,825,168,335,234,298,357,278,165,
279,293,620,281,832,547,932,568,451,864,449,597,904,927,729,550,704,721,649,
793,142,135,623,228,750,698,077,860,451,553,731,117,106,813,157,558,696,228,
549,421,786,102,364,727,257,222,240,585,076,948,332,055,784,362,246,283,853,
308,252,080,174,326,912,097,925,743,837,978,007,796,752,561,786,098,262,766,
742,552,106,746,642,212,880,084,002,851,405,565,024,585,949,391,355,180,079,
647,661,882,934,538,159,403,293,390,571,210,315,486,084,608,137,805,406,098,
303,096,202,289,800,823,415,017,012,494,371,683,624,527,641,237,796,845,031,
449,084,860,353,632,543,693,920,929,351,316,963,301,571,389,442,353,959,863,
680,948,631,910,515,269,244,903,929,105,690,837,735,809,747,687,272,243,118,
361,481,419,945,056,910,655,754,137,478,752,811,658,036,794,466,220,140,663,
545,507,384,615,162,064,030,427,763,173,918,604,154,616,800,106,966,642,164,
551,687,566,914,386,675,798,917,517,010,349,592,629,256,709,924,948,248,923,
729,905,629,815,350,834,034,093,325,681,176,133,971,052,933,405,588,755,152,
960,847,931,085,059,699,386,270,960,433,073,327,745,850,922,215,879,990,968,
490,307,673,742,267,039,473,619,124,527,056,774,005,584,604,175,435,364,797,
846,568,404,835,376,533,077,156,720,989,784,111,455,973,073,106,792,413,251,
398,871,132,828,291,673,544,031,217,925,839,374,358,845,833,083,661,646,122,
952,820,089,387,709,717,849,728,304,869,998,562,838,446,685,740,000,853,503,
262,906,163,305,649,198,588,911,150,127,486,969,195,790,107,873,115,528,622,
706,974,063,297,152,386,917,546,843,877,022,852,610,178,521,414,602,908,123,
493,231,209,492,797,339,183,152,221,574,230,288,776,449,284,574,103,319,048,
252,311,147,676,836,140,825,683,396,218,532,070,441,140,893,763,190,001,203,
029,047,128,718,717,047,367,949,607,825,955,175,632,445,047,683,615,647,615,
454,246,900,272,678,856,995,306,658,872,872,625,295,740,957,656,524,279,280,
940,347,298,479,024,634,472,701,921,609,369,664,435,592,451,116,953,243,830,
129,487,156,880,324,662,116,295,064,263,548,095,746,878,275,185,908,213,900,
130,675,442,405,532,532,772,959,316,058,150,398,201,663,609,309,441,208,423,
566,451,174,517,028,898,270,605,268,203,388,433,124,711,252,078,409,192,591,
190,554,363,282,857,591,632,091,144,095,823,509,658,030,400,458,645,002,218,
332,047,933,651,653,447,439,251,096,988,713,958,585,079,738,813,473,855,523,
486,611,798,881,630,495,227,993,923,515,322,029,353,272,207,897,901,389,369,
164,243,860,594,073,529,749,248,950,522,403,681,831,650,338,232,680,897,110,
689,714,799,739,635,610,477,315,550,969,233,778,567,177,289,504,082,909,666,
860,295,653,789,655,352,543,775,846,392,113,072,988,698,480,106,435,005,240,
578,863,286,234,890,814,968,663,593,710,520,626,182,217,649,837,589,961,689,
807,284,660,708,871,832,334,392,323,578,149,984,806,495,347,122,748,766,741,
423,675,517,273,969,419,725,440,067,504,755,084,776,601,942,962,309,407,984,
939,644,366,384,986,451,074,413,718,119,869,482,909,744,379,638,253,091,206,
509,709,378,218,166,312,484,778,041,129,090,193,330,281,505,663,090,295,187,
158,328,233,203,598,268,180,031,277,682,978,849,183,671,784,869,497,169,991,
468,530,728,710,433,795,051,713,664,645,544,142,867,428,871,380,350,602,146,
978,008,946,667,590,595,887,116,621,413,485,571,504,542,256,993,436,585,445,
546,742,829,067,996,434,762,870,434,744,747,575,677,293,976,567,471,874,422,
157,325,835,272,806,833,559,253,195,722,410,470,146,630,213,057,801,945,545,
114,154,214,947,887,041,304,250,087,339,696,943,756,646,468,237,584,358,857,
823,408,734,790,486,587,397,335,398,794,088,349,240,997,930,594,474,273,566,
368,796,085,456,481,693,604,391,503,705,808,088,886,337,180,659,487,890,728,
882,938,003,792,766,949,670,731,426,097,089,826,380,538,091,582,481,579,011,
705,604,767,705,650,714,407,139,345,815,550,685,358,860,497,645,517,664,055,
831,743,985,945,083,085,344,185,268,850,405,304,891,170,746,227,175,204,372,
006,247,239,483,486,075,734,565,211,413,747,592,439,714,927,567,728,499,101,
804,922,971,336,520,664,443,872,985,885,820,620,513,335,752,560,704,543,533,
007,972,601,006,164,268,299,190,960,468,437,304,641,504,573,877,422,814,959,
921,601,519,313,148,732,301,901,789,656,651,761,402,495,150,555,008,233,199,
039,224,267,148,888,159,612,461,414,471,459,630,421,059,725,637,469,146,963,
494,384,579,748,720,399,150,585,230,354,216,394,806,800,825,343,482,383,508,
976,240,895,808,974,704,846,971,118,659,180,250,999,185,498,351,714,696,799,
387,652,461,330,956,002,241,629,860,507,946,817,409,872,354,996,687,560,596,
471,002,301,991,077,459,977,103,785,499,009,154,661,180,653,122,344,398,707,
897,265,737,647,812,109,878,656,981,809,991,380,707,083,165,954,728,011,327,
538,698,600,096,897,391,151,259,796,879,289,925,462,332,704,432,964,542,319,
780,793,067,329,009,980,447,528,600,893,758,829,607,107,305,542,734,649,678,
069,778,511,321,596,877,707,547,420,394,491,497,918,927,602,235,610,315,687,
994,620,337,291,864,607,008,238,134,688,002,830,990,668,499,490,929,321,609,
713,616,711,117,867,229,174,001,733,579,325,036,637,810,960,691,204,574,388,
401,625,473,819,960,338,940,969,964,281,093,546,494,460,081,103,083,562,515,
771,663,167,041,260,008,543,939,474,936,781,545,584,536,000,337,170,812,588,
011,783,597,145,262,319,624,560,780,117,205,296,737,095,131,472,252,307,644,
202,313,899,318,153,241,146,832,654,514,395,273,221,378,698,623,720,373,030,
400,349,877,190,216,096,893,826,282,376,494,186,961,912,245,940,562,992,959,
342,228,270,266,792,090,151,440,072,754,955,483,168,743,554,737,758,752,445,
145,437,917,923,091,433,525,173,796,076,325,973,947,252,141,012,308,946,841,
767,943,259,206,931,262,122,093,164,037,670,620,679,966,597,805,042,786,078,
229,793,237,563,214,250,108,921,751,742,664,917,334,555,660,994,750,238,664,
080,002,446,503,571,212,010,626,134,962,254,026,222,901,883,994,789,223,366,
543,217,044,915,327,775,750,715,484,349,211,044,772,395,497,154,358,437,601,
174,320,439,749,788,610,469,934,957,825,145,462,199,631,188,875,553,515,271,
857,200,707,569,124,095,142,741,123,973,167,709,184,997,496,599,144,183,821,
725,187,977,870,175,824,443,734,349,829,231,349,136,332,606,219,013,856,655,
228,693,141,491,018,687,574,691,183,847,768,212,689,723,477,080,020,891,357,
686,826,785,591,250,380,588,472,310,078,123,500,030,211,154,830,441,580,431,
903,868,722,596,655,293,112,964,849,057,591,125,086,787,185,627,502,356,778,
778,877,735,763,938,667,419,545,423,555,152,593,624,516,529,487,907,025,540,
332,248,980,370,804,954,537,599,730,392,386,077,860,596,730,934,666,357,556,
020,784,197,653,588,339,708,986,362,652,702,794,062,536,976,623,705,542,137,
194,641,356,126,578,067,014,428,464,893,647,297,899,128,186,150,202,711,831,
078,385,669,384,067,088,198,632,961,570,064,651,869,452,383,014,010,529,202,
834,700,817,181,780,743,549,581,966,415,591,699,793,111,612,250,917,520,635,
504,122,805,103,048,338,767,596,316,243,798,683,669,282,534,817,466,466,125,
816,150,951,962,846,820,328,377,827,009,714,286,837,640,194,953,816,399,214,
230,508,096,755,334,144,074,150,585,558,684,182,461,547,435,105,922,900,907,
864,030,558,748,341,124,704,141,381,526,086,529,200,047,669,780,887,802,833,
188,191,088,195,283,768,082,091,106,394,445,768,688,965,275,412,340,545,591,
275,515,310,837,663,459,199,897,830,049,719,200,975,313,448,892,411,469,338,
127,869,158,699,429,221,277,617,030,836,473,129,625,548,206,825,671,178,926,
334,462,066,440,872,140,557,834,059,134,801,046,453,046,568,601,676,017,325,
685,092,194,151,145,169,532,573,721,975,800,117,776,948,698,058,527,016,291,
946,801,616,406,323,538,957,551,000,674,151,239,082,539,162,199,998,051,877,
100,715,319,855,825,612,643,744,447,234,032,133,890,599,927,661,659,412,838,
350,970,573,859,591,169,389,928,690,350,026,571,488,313,540,393,769,391,529,
334,342,946,834,211,493,366,354,544,006,607,852,708,871,895,497,771,198,994,
771,932,191,329,897,108,565,344,912,306,943,753,424,839,631,698,393,159,859,
795,222,529,589,270,728,845,316,528,719,551,292,229,174,318,417,533,666,832,
652,786,729,035,533,500,700,885,267,383,845,870,459,384,921,653,693,651,904,
916,336,810,081,223,930,073,375,061,841,802,221,022,861,144,130,796,347,985,
990,227,875,640,936,707,452,615,490,493,744,025,310,751,623,360,074,868,930,
499,242,706,847,929,222,305,120,236,885,658,994,088,177,533,686,364,445,650,
968,523,959,243,973,358,522,392,772,033,791,299,338,506,562,051,189,074,365,
411,225,642,967,435,082,118,455,261,143,562,856,957,543,911,080,122,280,052,
922,097,532,135,678,268,581,826,425,816,668,225,318,396,633,927,497,336,710,
412,309,633,502,859,460,816,685,619,758,883,708,339,640,333,825,561,552,808,
485,784,490,130,943,105,767,292,758,988,794,567,623,283,940,385,219,051,327,
371,945,669,294,916,241,388,626,472,192,172,656,566,797,243,434,726,713,326,
340,300,925,334,714,417,622,491,078,101,673,733,132,461,524,125,931,137,636,
520,198,604,197,586,804,401,518,079,086,791,217,701,328,672,554,940,591,148,
705,532,396,851,811,682,099,255,414,255,189,382,528,559,311,016,228,459,287,
706,512,218,669,167,714,789,937,224,339,288,278,362,035,220,749,409,176,928,
053,615,358,035,718,685,277,923,028,010,923,110,974,851,479,798,904,018,652,
644,189,683,563,948,064,811,725,602,739,822,640,344,349,044,430,380,713,887,
433,191,591,940,828,376,083,477,514,595,959,472,845,551,150,701,896,835,012,
501,777,968,889,889,400,105,727,616,476,223,064,995,125,690,743,599,164,222,
652,158,235,102,965,286,631,181,236,587,632,425,505,840,546,550,815,728,758,
207,688,629,889,048,147,291,071,965,531,420,932,905,388,829,856,057,210,539,
422,669,665,758,281,831,703,297,004,035,205,279,599,481,056,367,174,109,191,
184,899,258,818,573,227,806,941,616,639,480,236,209,585,980,701,596,429,169,
993,853,658,304,229,602,615,057,552,104,912,421,621,012,643,857,791,866,746,
549,576,646,739,439,441,045,748,229,720,178,383,124,607,318,896,528,972,090,
324,453,282,664,911,020,897,875,226,175,540,933,250,143,680,349,079,186,985,
587,749,783,299,686,241,040,106,392,428,482,858,096,102,828,496,264,746,202,
780,583,416,953,495,027,344,053,904,464,730,024,854,184,218,102,671,800,104,
494,335,565,296,276,829,302,211,248,974,286,450,880,391,426,947,650,309,772,
742,275,088,901,296,017,456,483,242,363,868,623,949,604,942,946,113,523,956,
737,202,138,472,794,052,846,882,575,940,225,406,761,898,813,393,979,476,156,
723,131,194,993,665,281,165,642,812,303,101,842,225,901,713,087,809,188,466,
512,641,611,242,925,549,312,879,164,284,430,635,268,848,088,844,011,811,325,
195,844,581,359,447,941,914,000,905,898,957,532,292,432,898,900,160,370,501,
483,334,675,593,257,540,845,352,526,946,029,773,906,859,917,482,541,442,982,
078,452,149,350,607,737,796,539,345,491,102,942,547,607,683,384,826,627,096,
952,518,980,157,316,615,873,170,969,572,389,483,946,796,892,859,832,197,269,
843,247,806,683,467,460,316,668,498,232,960,395,369,031,275,197,158,391,423,
118,249,413,992,801,254,486,915,533,216,198,323,807,054,571,906,149,099,343,
564,085,853,257,413,359,206,287,835,773,491,131,476,987,876,086,548,895,027,
798,240,892,549,747,686,632,371,552,345,225,927,621,818,645,226,620,439,917,
205,695,212,261,103,215,315,754,960,429,910,255,693,263,863,856,230,384,034,
409,246,704,204,184,643,042,133,009,956,384,374,276,448,545,565,295,045,942,
470,826,460,176,212,248,366,351,286,427,947,375,716,325,093,077,054,670,524,
805,008,866,489,220,730,481,318,685,645,790,593,800,396,756,843,923,071,862,
909,199,296,906,169,225,800,236,683,593,876,398,556,814,022,927,887,861,485,
107,788,335,356,579,571,254,058,333,310,265,501,569,456,193,386,012,272,248,
990,279,475,315,563,808,302,875,215,301,040,733,593,211,086,029,613,187,647,
753,101,054,915,550,434,478,411,934,479,641,115,263,586,816,483,647,888,562,
298,350,669,370,164,538,543,854,824,048,234,325,156,889,916,387,732,128,296,
486,422,205,448,398,805,310,582,013,440,651,550,072,835,297,023,213,477,450,
911,929,397,517,383,868,388,096,581,145,752,678,326,912,771,667,960,689,042,
804,880,669,610,660,923,260,259,889,106,692,816,753,785,399,981,642,191,796,
432,948,695,624,728,922,920,301,578,925,063,517,031,799,798,860,059,107,701,
989,461,427,986,028,421,084,168,889,546,858,415,472,226,227,578,548,733,921,
045,045,242,847,927,454,535,064,300,196,888,357,774,651,208,468,259,983,052,
370,297,753,283,856,252,785,667,405,200,724,582,993,038,108,102,794,755,637,
071,694,531,069,384,793,626,697,920,058,987,132,533,768,137,050,281,001,732,
400,236,563,881,439,702,784,378,197,874,226,321,635,879,241,278,582,969,910,
288,354,127,684,371,011,015,300,493,985,824,048,821,318,226,307,369,863,705,
133,545,742,793,159,208,824,775,229,295,583,605,522,462,471,483,506,797,952,
433,806,047,372,792,508,271,177,527,659,785,846,015,698,158,918,463,048,348,
463,844,082,374,204,244,862,807,033,311,477,734,545,270,400,234,306,941,727,
980,500,735,025,420,039,771,633,424,255,443,623,149,845,826,609,272,225,126,
702,212,034,211,843,754,064,749,144,275,513,733,928,025,026,442,626,473,350,
604,700,487,495,248,485,576,186,978,464,988,086,224,829,993,451,708,023,126,
745,420,607,555,118,962,640,152,385,506,312,598,444,563,777,110,672,468,996,
196,414,744,251,141,554,056,030,438,550,432,509,845,207,401,247,717,989,160,
281,019,374,263,225,983,653,321,949,783,002,739,380,435,067,352,809,080,273,
600,668,708,121,333,103,293,852,635,058,920,122,493,602,521,772,466,057,199,
416,167,941,175,689,660,186,963,621,501,632,691,007,006,073,613,404,635,365,
958,993,293,361,279,828,482,032,952,816,855,127,785,301,479,529,673,335,098,
203,452,783,556,846,332,986,306,402,346,250,260,269,972,757,093,166,368,670,
384,083,502,489,643,901,578,387,600,707,399,240,467,801,375,521,887,658,224,
225,633,011,413,171,707,899,782,127,033,284,270,438,802,069,851,159,652,866,
637,650,811,742,645,751,780,066,133,459,993,325,945,826,536,200,311,645,260,
875,297,679,612,051,986,024,518,919,585,957,802,764,850,301,986,909,820,445,
565,681,398,739,008,721,602,698,942,455,291,364,202,661,264,606,976,612,335,
355,390,680,283,274,455,578,663,835,242,115,157,074,120,605,404,947,502,975,
396,142,807,238,129,082,850,896,548,343,850,638,276,543,403,195,324,374,163,
067,783,466,562,957,074,459,433,319,099,767,237,611,249,225,878,991,393,015,
734,402,827,887,915,540,404,554,728,265,118,949,299,959,079,644,320,796,992,
421,535,239,298,171,251,624,103,825,464,047,922,630,415,628,298,839,897,232,
597,974,117,901,934,193,158,779,714,166,886,047,680,277,830,247,455,829,832,
437,922,022,128,800,289,939,176,207,736,441,881,603,875,545,485,353,693,271,
694,009,952,452,945,877,055,891,466,213,795,598,700,282,205,981,738,240,499,
154,894,704,498,497,037,868,200,102,462,104,594,938,784,427,772,023,821,914,
764,069,131,974,756,838,776,627,127,092,323,642,325,645,359,368,346,099,895,
704,465,908,473,804,424,114,381,156,698,696,607,339,011,828,372,298,832,474,
345,357,883,192,971,095,039,953,732,748,879,729,033,957,392,481,076,858,054,
199,536,705,914,690,190,107,521,117,693,641,857,710,053,584,029,907,318,867,
310,725,457,214,519,010,429,918,230,270,985,205,465,921,311,118,971,440,242,
995,654,965,760,036,504,548,022,370,193,016,567,331,085,869,982,095,644,082,
748,699,215,726,804,109,611,973,807,333,292,384,021,376,553,330,762,078,124,
756,946,558,719,229,618,704,738,585,539,404,490,946,228,171,561,085,011,319,
471,165,634,057,612,107,177,328,622,984,428,920,467,871,200,592,290,408,422,
853,532,792,320,070,891,925,130,883,713,137,461,537,574,428,874,142,333,010,
339,116,866,831,024,241,875,475,818,089,740,820,354,064,591,311,643,193,120,
088,651,362,738,548,467,571,165,511,585,124,567,333,721,396,319,403,081,265,
954,779,816,922,701,634,178,643,814,760,848,794,190,355,394,932,362,641,082,
681,629,088,377,979,938,388,982,834,040,754,577,248,349,008,999,166,178,044,
480,075,744,350,549,253,725,951,291,226,111,372,856,312,576,561,792,297,632,
919,743,064,306,427,559,340,310,851,439,175,029,219,038,238,981,763,000,219,
806,355,737,154,498,951,628,917,979,544,125,474,181,188,657,707,107,119,486,
435,676,626,142,665,093,189,970,506,291,855,908,407,345,415,479,034,351,043,
709,256,348,978,644,472,185,038,349,227,011,946,678,117,529,472,050,300,088,
653,658,204,622,204,498,441,827,259,501,971,236,207,873,583,184,940,068,081,
689,484,751,544,264,820,313,319,634,088,130,141,686,120,710,461,920,287,882,
046,765,390,736,419,156,849,712,998,221,536,601,585,683,087,303,097,300,907,
236,778,341,930,991,999,549,402,493,258,914,167,474,517,943,646,752,975,553,
253,041,832,157,808,406,491,018,695,858,058,307,210,508,124,120,710,812,137,
358,219,480,273,649,661,100,065,586,351,816,714,153,494,685,361,724,160,116,
856,054,301,559,544,699,692,134,061,682,130,015,063,128,224,405,037,389,843,
192,432,620,290,514,584,521,504,334,180,211,280,835,496,368,871,591,430,056,
757,614,848,191,244,075,914,344,234,375,643,280,824,966,865,658,306,387,515,
186,564,965,368,806,291,018,966,016,882,914,550,717,117,543,563,517,647,547,
647,533,271,974,169,944,726,470,185,764,229,056,064,058,374,250,799,737,781,
072,739,366,930,435,096,720,120,194,957,506,103,932,654,382,767,338,886,205,
165,307,163,879,826,666,234,713,369,647,783,548,099,965,941,957,546,142,012,
005,063,542,909,587,679,089,510,967,963,077,003,898,553,396,987,063,908,771,
291,012,259,497,288,318,259,053,596,237,914,774,290,180,354,367,892,016,457,
849,666,695,480,578,169,474,697,713,133,129,465,063,849,786,014,766,770,930,
351,186,589,540,271,901,214,594,254,164,244,122,279,811,023,941,457,340,792,
016,146,082,390,755,200,541,903,885,832,657,560,818,610,508,080,826,059,401,
980,346,284,260,031,623,902,277,816,902,771,568,371,898,689,107,748,237,579,
316,273,367,521,824,093,703,056,050,614,723,671,812,857,967,801,090,915,709,
632,780,770,323,687,555,219,092,644,978,027,538,385,976,668,492,948,603,966,
212,778,118,186,185,821,418,847,611,826,953,273,594,205,143,159,027,999,730,
686,263,071,262,080,739,873,686,031,320,373,797,707,559,875,085,226,925,491,
076,295,036,286,944,076,006,378,063,932,407,532,340,303,836,505,571,231,211,
409,897,841,393,597,360,274,681,721,386,843,241,898,442,383,052,047,006,284,
374,336,256,710,767,693,641,858,950,746,123,901,049,350,031,662,894,019,131,
378,069,999,075,356,557,443,034,488,954,580,360,858,529,465,875,958,948,017,
319,068,914,485,230,953,491,296,815,770,138,096,976,309,493,378,092,927,564,
220,708,481,632,582,771,329,739,358,251,113,565,011,526,020,910,296,611,735,
529,163,431,569,380,759,346,176,059,347,515,618,119,600,458,170,056,923,260,
263,837,358,611,329,244,584,013,700,585,343,938,586,004,048,949,179,176,196,
899,445,138,341,404,796,038,836,045,091,410,498,586,702,842,709,974,489,472,
608,555,013,434,143,424,348,675,945,722,938,721,003,257,932,046,039,136,762,
132,604,253,679,966,065,603,135,218,138,132,588,734,508,649,262,444,189,031,
091,900,217,805,039,776,101,027,431,938,013,532,183,238,281,291,329,290,326,
456,118,312,344,156,897,551,458,543,419,450,014,810,000,827,197,094,852,657,
897,355,572,486,308,901,367,417,678,105,425,305,282,343,092,321,356,193,960,
137,375,483,419,405,096,048,043,060,587,485,922,047,988,407,742,075,493,308,
687,203,628,160,722,593,802,833,351,360,215,128,099,474,082,110,855,866,014,
894,556,259,423,546,740,970,684,811,897,192,152,213,732,440,595,844,058,490,
853,948,885,935,985,290,060,290,004,870,762,126,666,443,357,979,447,003,970,
062,737,037,627,588,430,191,456,523,097,732,872,832,742,809,497,218,953,196,
340,914,706,421,550,113,106,093,639,772,973,645,739,264,991,366,395,230,996,
031,615,488,307,520,718,755,628,794,177,653,327,248,383,380,547,713,994,216,
226,512,750,394,596,054,696,550,447,702,621,984,666,751,267,137,854,744,613,
928,649,557,578,241,074,039,109,388,958,397,353,793,930,662,510,857,521,908,
296,247,366,675,948,733,012,294,677,822,444,926,837,305,458,377,515,599,278,
981,093,454,426,770,439,726,716,962,363,486,089,228,740,589,399,000,478,705,
668,005,600,271,252,575,021,748,582,153,771,609,462,348,550,080,323,655,797,
806,196,624,132,805,626,298,597,675,629,630,030,234,187,850,780,125,439,761,
210,107,596,386,528,441,396,194,267,395,762,587,330,034,505,687,482,098,156,
315,440,687,976,465,964,530,966,554,346,336,076,784,963,129,647,284,755,015,
685,175,992,600,712,967,396,820,945,684,061,300,198,979,721,445,225,351,871,
566,128,376,841,866,785,776,578,110,439,270,000,373,244,562,206,575,122,436,
534,973,187,235,778,595,060,926,196,775,773,254,532,453,141,087,390,693,673,
769,761,492,119,299,205,395,636,845,941,405,136,861,236,099,862,212,139,837,
092,650,141,365,290,114,311,857,921,015,768,617,936,168,673,543,113,026,443,
228,239,972,521,975,278,619,801,902,370,858,505,635,032,643,163,067,917,441,
585,881,450,595,148,883,535,524,366,642,388,900,815,221,071,868,708,678,654,
290,438,823,892,510,615,668,298,627,562,085,498,776,947,814,060,444,882,281,
831,521,182,312,684,597,459,384,531,478,718,079,345,026,005,057,011,696,348,
592,404,964,816,161,955,002,725,981,490,910,405,961,561,828,705,893,902,585,
158,457,912,838,985,417,343,728,184,288,728,606,750,864,746,545,270,557,240,
319,783,095,678,797,167,894,836,695,584,536,425,904,849,308,680,378,228,298,
112,167,789,651,779,982,029,113,814,135,347,600,429,644,676,852,448,642,042,
385,887,308,175,796,231,676,077,442,900,522,579,454,163,498,102,318,635,270,
341,540,842,661,049,414,242,946,962,312,377,206,919,617,583,153,543,011,667,
029,797,798,304,810,626,999,364,277,732,484,807,953,857,050,145,238,890,545,
332,119,779,444,934,033,431,950,958,519,176,508,985,528,001,663,004,708,189,
254,811,731,019,381,362,657,497,737,199,971,212,466,381,320,668,490,154,841,
175,198,235,091,859,862,092,102,683,013,101,857,135,317,415,180,940,751,959,
238,833,874,155,024,155,252,059,240,253,172,482,648,112,754,958,224,421,361,
244,853,007,955,610,946,835,125,956,782,772,012,227,804,827,507,400,342,572,
622,297,023,494,420,796,355,445,771,989,451,248,768,798,587,137,247,300,156,
782,031,571,175,449,539,419,092,286,901,887,968,167,847,759,943,480,773,346,
568,170,940,226,294,574,941,087,274,689,933,371,137,192,986,047,708,753,233,
000,218,038,187,824,882,080,793,903,885,789,836,880,221,675,872,161,154,993,
120,614,356,715,345,889,261,907,322,213,294,299,972,762,882,019,937,771,894,
989,193,794,333,704,538,358,039,096,332,108,056,942,968,701,752,471,560,445,
335,153,810,499,042,876,649,541,865,743,815,315,172,061,293,033,175,427,575,
145,461,507,935,273,714,001,549,035,100,645,493,353,628,292,516,201,314,583,
370,439,823,295,788,864,839,226,998,712,250,375,811,895,454,615,503,592,676,
712,561,444,078,255,780,390,621,656,992,601,846,760,563,646,351,755,060,528,
447,814,488,932,962,389,899,199,656,580,469,872,933,438,764,092,226,047,892,
907,408,294,100,392,614,017,684,203,763,362,785,052,823,365,893,304,970,461,
848,592,853,885,630,066,903,612,695,552,577,644,418,282,443,248,665,419,464,
309,696,862,019,435,743,432,848,220,585,507,091,556,142,929,891,805,053,017,
008,917,931,717,544,443,001,866,659,501,326,519,793,150,304,643,753,501,304,
029,668,401,266,703,029,670,533,051,471,888,145,480,878,271,728,270,493,829,
122,653,469,619,669,020,437,188,819,050,543,500,973,070,733,091,500,064,329,
652,687,946,774,228,343,913,403,450,416,886,290,546,323,079,640,148,677,162,
852,443,968,630,932,875,279,519,812,326,788,002,809,385,939,934,726,435,480,
486,371,874,234,628,664,538,253,780,930,445,123,472,444,870,956,048,291,208,
904,324,195,192,597,767,831,172,106,894,624,866,219,062,148,815,772,001,538,
849,559,948,659,375,467,598,659,463,436,440,916,861,393,121,873,980,578,711,
440,541,639,891,838,360,922,436,367,272,236,341,457,059,583,801,938,989,899,
466,411,406,092,268,446,893,992,258,744,368,845,739,463,987,511,498,537,531,
483,120,430,190,428,141,200,825,918,802,628,499,083,132,888,851,537,289,134,
262,523,487,096,178,050,897,033,271,817,942,055,173,244,500,124,942,917,031,
045,935,618,032,676,002,731,830,327,055,763,562,333,716,088,785,342,436,062,
314,212,284,979,831,707,429,500,422,223,482,629,217,786,354,567,551,590,212,
253,883,929,149,559,588,294,171,922,493,430,432,237,131,453,928,921,082,615,
997,667,570,223,338,325,062,961,252,777,581,578,117,296,024,894,565,738,095,
690,939,664,430,386,350,973,828,476,274,813,602,465,625,503,730,653,935,784,
945,941,309,656,232,548,168,461,606,050,539,169,715,615,752,009,388,510,768,
087,185,918,983,874,056,130,940,295,454,645,294,024,362,125,244,247,418,039,
448,605,521,598,099,143,122,893,523,477,695,955,365,891,441,383,569,176,279,
737,521,449,462,303,722,241,200,215,819,394,524,643,496,724,308,277,268,156,
514,880,275,616,663,604,554,055,978,644,112,469,272,367,718,765,139,490,891,
942,600,356,698,384,354,358,561,033,011,632,491,319,257,127,404,666,947,754,
959,478,716,686,478,251,098,685,023,508,035,917,546,938,362,763,140,061,251,
289,209,902,373,934,280,703,248,997,627,800,799,585,894,344,482,273,521,972,
299,227,347,719,538,016,764,313,388,186,391,160,295,029,680,135,240,363,493,
143,760,477,081,005,820,747,319,024,870,278,410,315,313,052,075,091,594,268,
070,099,700,069,278,463,156,980,731,108,121,639,718,144,684,767,945,909,571,
168,338,244,809,602,127,358,353,579,591,965,419,956,448,855,189,413,582,466,
303,578,557,494,557,967,976,513,588,963,234,742,062,695,595,431,636,642,827,
956,526,225,580,904,126,606,052,170,944,760,680,872,720,594,231,460,639,849,
045,134,632,301,566,529,521,845,870,829,969,249,681,405,615,559,937,276,694,
056,222,900,172,927,457,563,402,482,638,178,577,087,992,005,186,806,444,776,
652,580,856,334,517,309,649,867,967,865,899,393,382,321,882,305,526,936,073,
757,798,218,193,428,828,626,426,675,592,143,964,471,452,668,773,513,689,254,
102,475,845,823,150,723,166,424,892,809,974,284,661,449,141,241,316,143,681,
131,642,360,274,960,809,368,323,068,977,626,207,773,751,576,067,242,947,289,
971,579,857,571,768,315,126,883,879,324,198,422,520,081,431,187,075,879,740,
050,071,267,634,587,443,932,798,898,759,605,042,115,325,988,655,293,863,844,
904,900,595,272,992,273,118,232,492,663,411,015,789,521,832,406,400,232,448,
742,199,684,529,263,194,309,657,223,777,313,844,149,770,849,707,802,186,072,
611,957,942,853,635,898,062,068,846,299,193,730,096,987,640,907,327,890,343,
039,440,292,107,172,262,605,580,191,715,077,462,179,038,439,385,347,341,974,
959,753,756,446,543,886,559,980,475,237,431,302,848,172,542,488,652,234,634,
573,535,498,374,678,426,055,430,921,468,028,844,753,070,388,191,123,156,837,
916,779,022,025,033,360,481,998,676,241,221,371,500,257,660,899,135,680,551,
264,050,163,469,325,467,404,025,632,937,613,907,024,645,223,408,956,829,920,
591,948,303,122,013,680,765,960,675,893,129,336,843,048,725,706,198,507,060,
761,677,278,829,083,210,652,933,606,617,787,848,026,387,921,127,003,532,355,
095,685,762,971,526,696,488,559,725,429,173,145,722,460,012,627,292,317,629,
775,055,178,787,507,010,556,866,249,896,416,707,140,137,512,882,862,843,750,
432,200,887,177,461,892,393,504,045,841,689,709,718,274,546,773,302,628,348,
952,253,948,532,101,709,256,071,948,424,373,518,983,804,107,511,467,786,409,
854,223,035,452,654,199,641,770,140,937,934,063,571,492,592,773,485,961,390,
654,247,024,289,306,031,135,578,079,656,010,179,045,886,653,106,656,766,361,
253,029,429,081,280,895,965,402,853,342,701,963,461,716,580,358,265,037,145,
485,349,001,390,833,452,904,279,828,181,877,602,782,927,694,136,450,025,561,
334,383,471,357,792,041,192,453,050,040,327,872,138,025,720,590,943,656,306,
435,357,368,426,589,793,311,775,367,368,307,477,682,661,438,756,037,776,281,
086,839,411,611,399,387,713,823,870,588,520,916,533,184,074,121,337,174,556,
845,491,511,283,290,328,941,904,413,134,979,738,330,654,572,658,839,181,271,
715,859,567,897,278,623,220,942,946,339,998,871,365,014,505,744,159,366,286,
843,663,173,562,301,213,659,592,222,438,988,398,193,909,828,819,172,373,811,
025,894,528,375,297,439,328,998,936,121,603,137,546,514,006,103,909,344,953,
001,607,020,885,593,143,757,302,198,432,174,631,020,457,028,548,175,456,032,
025,212,107,497,231,036,057,066,274,125,944,586,776,461,472,771,526,574,126,
618,782,652,515,175,689,011,508,178,524,042,468,893,547,608,772,948,594,084,
070,814,291,067,071,267,750,260,225,342,902,395,749,217,496,921,054,985,815,
702,855,886,066,908,676,559,876,366,589,176,783,030,622,828,278,362,936,148,
051,941,326,043,212,203,388,205,903,989,978,696,702,424,673,166,570,693,470,
943,223,325,609,276,426,387,994,086,671,166,672,719,099,883,784,596,974,239,
718,418,020,146,135,810,848,734,900,003,061,175,443,663,286,240,956,863,249,
553,752,427,628,782,583,467,381,561,251,581,000,535,904,904,242,713,647,454,
153,360,789,824,342,337,701,854,381,261,386,472,232,718,142,309,596,922,836,
482,043,004,744,024,860,452,201,369,877,114,781,449,154,030,487,904,681,749,
404,894,664,833,349,687,152,991,740,611,886,183,458,751,920,701,837,813,513,
399,021,386,437,709,678,340,941,984,435,831,327,428,740,173,874,454,286,094,
426,720,774,133,009,434,557,761,892,625,315,480,123,555,527,637,754,066,232,
541,773,400,563,165,931,582,532,680,592,101,633,552,620,474,657,681,712,676,
104,622,417,103,556,492,869,635,894,347,055,345,061,124,277,313,496,209,697,
915,197,179,796,334,399,254,690,808,252,243,588,808,423,754,462,320,779,359,
378,372,113,893,657,902,045,822,758,967,369,216,959,811,233,177,259,716,261,
414,716,407,468,321,857,251,830,594,640,122,097,036,046,928,310,606,850,789,
442,374,432,116,740,603,899,900,094,416,090,461,263,629,306,846,302,522,747,
289,870,541,996,608,241,051,648,880,515,057,225,865,634,181,319,244,063,113,
545,198,292,359,620,735,855,655,513,481,231,353,978,160,483,429,956,697,549,
837,283,799,197,111,840,707,540,400,069,206,716,318,107,473,402,101,802,705,
915,672,120,518,284,533,895,451,028,533,192,729,356,636,127,170,911,717,633,
674,678,655,133,180,327,972,285,921,056,116,895,773,810,584,644,635,856,547,
891,504,315,694,295,872,462,408,360,034,571,185,637,164,550,202,141,038,147,
768,288,113,373,600,298,481,779,030,890,292,694,863,384,906,046,617,838,097,
720,650,213,979,029,601,997,932,087,670,237,667,168,777,594,364,223,049,484,
473,135,452,259,649,581,370,240,091,542,881,629,703,927,549,085,553,072,037,
707,586,884,407,816,655,012,721,205,912,820,412,837,188,887,073,337,309,718,
919,510,803,692,122,420,699,876,411,736,650,600,180,106,314,155,621,167,076,
358,163,389,580,250,854,541,553,336,761,510,512,867,506,888,733,680,100,201,
825,589,105,415,776,287,301,407,918,341,416,797,713,049,063,887,728,223,782,
248,265,972,697,695,849,417,177,973,861,737,531,005,590,080,809,413,251,484,
247,161,281,100,257,249,258,652,671,593,944,514,604,309,522,705,213,651,664,
101,955,780,039,395,647,832,102,723,332,681,898,070,654,397,083,968,810,338,
247,563,600,374,718,163,425,141,601,035,733,443,938,318,402,386,732,143,710,
923,689,838,276,559,376,946,396,896,733,130,058,995,994,427,940,553,708,058,
105,597,951,692,532,551,178,265,539,997,094,304,167,562,015,875,504,421,162,
253,913,108,418,970,712,961,087,140,110,422,654,307,355,329,864,500,231,527,
200,327,919,820,816,052,200,477,779,875,574,464,366,577,175,393,801,482,729,
842,614,400,656,995,137,795,763,260,971,445,775,735,213,765,906,368,260,931,
700,720,800,147,111,733,521,435,025,830,855,231,582,447,031,254,575,902,929,
675,183,708,288,010,983,764,375,140,062,881,762,216,553,801,360,503,965,004,
952,257,033,017,187,610,974,454,282,948,528,116,662,474,984,714,075,886,809,
525,678,302,861,908,947,935,656,265,456,870,566,304,526,976,652,516,819,134,
934,226,740,034,515,685,818,659,431,207,453,674,076,477,568,772,288,725,133,
579,551,205,193,514,784,079,143,305,607,365,501,557,358,202,954,135,851,089,
888,659,414,547,168,515,318,514,565,713,707,578,586,468,273,410,666,500,358,
521,825,700,160,188,697,678,523,229,517,081,155,262,445,194,755,336,884,858,
395,341,058,745,186,817,498,447,091,645,200,713,155,314,950,510,887,710,202,
820,394,398,886,298,329,962,081,714,790,928,965,851,952,130,463,288,739,435,
137,734,894,086,013,574,337,729,844,356,568,048,185,014,864,359,458,653,718,
298,109,049,163,512,921,392,260,785,542,463,149,070,816,432,583,175,529,076,
465,500,385,001,621,883,142,664,854,694,348,706,884,252,950,578,378,622,055,
407,594,425,359,020,640,941,350,496,673,988,595,903,650,644,777,582,217,794,
275,436,908,903,791,467,157,036,975,412,567,699,634,341,382,193,143,374,199,
684,598,820,845,612,600,665,204,916,869,040,233,580,846,499,792,967,404,193,
262,078,114,735,012,761,622,630,617,337,745,738,053,055,778,362,343,738,228,
457,508,888,101,968,775,992,591,594,730,674,221,383,605,430,119,943,877,955,
233,696,919,839,023,730,035,869,506,703,941,604,468,058,907,947,861,248,881,
827,863,080,085,918,081,309,473,619,410,423,147,038,711,600,347,509,543,830,
061,442,859,895,066,862,078,659,419,675,287,271,155,491,997,522,804,571,865,
672,362,694,826,115,078,912,428,329,466,323,888,777,818,106,910,709,823,883,
060,533,988,403,915,066,025,439,467,931,360,649,534,168,045,308,080,582,016,
800,949,736,048,721,481,255,066,078,696,017,807,415,820,080,316,017,110,356,
540,315,620,420,511,629,821,880,659,196,928,798,803,162,975,529,387,752,678,
227,087,429,776,270,345,994,103,219,878,337,887,768,111,748,282,980,612,555,
065,981,417,504,672,323,618,136,214,490,970,339,772,455,982,454,428,369,603,
654,284,925,028,926,738,602,669,314,369,001,145,362,431,089,158,889,779,740,
364,315,124,701,837,813,247,401,623,437,522,613,911,848,767,154,484,311,284,
198,286,382,662,096,443,852,405,336,855,968,970,835,844,718,619,767,724,059,
951,034,574,432,204,145,793,444,321,515,468,541,934,380,308,552,110,497,145,
492,988,718,411,921,579,746,769,175,625,667,416,147,970,549,684,723,127,040,
961,675,389,794,882,297,976,189,507,728,055,969,337,389,059,669,444,324,358,
997,201,924,032,568,887,208,070,677,353,300,023,500,013,880,334,823,613,981,
822,716,993,934,248,546,691,517,799,052,433,139,522,640,731,205,203,383,501,
211,063,544,834,628,298,252,034,623,891,097,005,771,620,950,523,520,595,992,
928,652,652,375,101,565,191,187,650,404,678,505,955,024,785,514,261,319,601,
318,713,177,578,668,576,105,069,902,250,239,332,592,915,336,683,699,201,048,
583,384,990,397,425,641,936,147,242,474,042,893,584,558,807,537,246,523,816,
264,671,639,713,499,597,950,598,455,793,951,501,133,743,710,013,272,382,550,
935,367,619,422,718,283,046,820,517,646,679,996,382,528,507,442,797,235,268,
234,051,697,621,129,907,131,186,148,278,303,625,628,987,686,076,828,662,723,
169,170,625,994,912,596,649,383,423,879,666,867,933,956,141,687,965,872,587,
466,753,617,892,825,285,009,345,303,535,735,491,671,481,655,000,558,875,567,
397,897,082,583,330,023,674,408,341,339,578,695,237,167,001,362,476,346,718,
013,901,119,534,894,049,462,031,158,192,774,114,129,713,975,748,199,009,362,
218,154,290,996,267,852,691,172,902,943,071,712,228,875,742,438,830,103,120,
757,786,092,068,824,579,527,203,885,282,811,049,278,134,061,594,962,943,442,
263,440,230,951,480,074,590,756,939,650,414,547,546,515,275,213,954,089,945,
998,317,186,594,153,681,826,621,245,713,373,087,442,522,801,966,752,853,748,
122,721,772,412,731,230,012,568,569,126,033,399,516,560,395,226,746,226,213,
096,923,861,654,774,991,270,933,346,277,672,465,280,231,842,789,749,331,741,
749,450,082,004,047,650,679,385,159,827,252,544,219,539,034,852,222,519,993,
044,913,304,913,787,521,457,424,349,810,629,687,982,286,309,324,860,077,987,
133,259,008,355,355,878,781,769,955,195,205,535,426,700,469,161,152,492,389,
752,855,925,391,291,849,465,787,883,403,063,442,014,320,904,574,077,505,842,
202,685,600,352,580,388,763,033,432,900,692,142,265,100,650,850,486,493,945,
062,294,509,059,194,738,402,563,161,103,656,556,851,937,234,415,888,038,870,
642,231,549,973,026,195,020,029,492,557,153,638,350,256,370,360,212,657,425,
296,151,220,481,760,441,261,651,971,947,821,833,176,472,835,190,519,450,695,
906,357,785,675,022,544,083,981,847,276,882,210,375,147,642,190,313,204,573,
284,928,650,651,560,654,401,539,786,584,289,483,757,157,286,869,509,887,264,
843,024,805,976,140,866,660,581,971,667,985,177,906,014,487,556,753,274,538,
903,278,309,655,798,396,579,784,624,063,869,974,377,222,839,423,375,610,945,
284,465,395,812,077,175,527,949,374,993,664,636,320,745,734,976,515,714,851,
053,978,766,518,170,452,971,805,473,499,947,795,572,427,758,930,657,001,084,
686,131,881,634,326,460,428,112,302,456,404,531,776,085,449,671,263,935,833,
391,611,069,080,599,233,141,609,406,744,322,342,845,798,797,649,572,903,579,
849,660,420,201,157,674,755,609,685,915,337,612,156,039,140,223,390,912,187,
585,975,086,207,870,049,867,363,306,117,365,841,282,962,727,545,791,975,236,
230,447,950,942,789,007,719,267,788,781,527,706,648,893,108,335,821,832,071,
098,110,628,997,636,701,542,275,884,636,298,925,719,190,912,321,403,648,079,
973,667,784,894,486,419,366,907,853,179,889,537,657,394,731,137,475,186,212,
989,819,837,566,745,198,633,028,811,169,947,884,571,441,364,925,543,452,946,
327,910,585,465,519,036,981,700,668,045,852,434,252,967,391,768,789,484,074,
807,439,070,300,358,925,951,372,757,479,918,919,691,486,971,004,353,676,750,
218,691,596,774,130,221,730,151,785,515,269,308,747,828,735,560,287,859,952,
082,660,206,164,379,548,524,010,088,596,823,206,277,917,674,909,659,267,736,
166,129,303,475,694,142,809,538,445,790,723,603,446,101,838,146,732,222,346,
358,207,340,211,499,114,561,587,769,568,081,867,994,154,268,067,151,867,629,
177,397,879,429,255,646,962,808,955,818,053,262,989,643,930,558,972,784,447,
609,307,578,455,791,474,913,220,197,192,856,547,039,119,684,120,558,333,514,
151,864,426,866,312,522,054,973,514,936,974,716,717,963,179,252,948,087,205,
002,984,599,018,795,599,536,940,826,272,631,476,922,855,422,004,385,901,534,
270,509,858,707,883,213,769,928,622,464,014,587,232,715,893,658,748,053,633,
427,016,671,970,948,548,134,592,258,129,239,946,069,525,600,226,896,784,983,
933,899,750,236,723,216,001,135,543,454,065,415,935,741,040,171,741,244,810,
182,793,037,262,859,138,486,925,175,676,947,242,623,074,080,367,572,918,474,
234,277,076,162,739,596,748,492,452,870,901,542,217,078,996,383,030,762,042,
477,354,414,666,710,552,816,552,007,122,083,727,734,927,069,350,377,518,683,
520,507,882,034,959,264,310,392,298,858,018,081,589,548,758,561,474,491,948,
015,039,331,008,856,133,443,486,481,504,360,835,173,051,602,424,574,430,009,
591,602,852,448,459,663,761,791,464,208,198,771,571,142,840,799,521,285,294,
453,601,794,530,133,052,915,831,539,433,551,984,304,554,243,680,740,537,752,
983,691,418,499,618,443,116,675,349,153,946,796,603,443,448,087,481,308,466,
309,519,918,284,420,868,491,311,297,653,014,208,448,549,553,019,324,818,297,
441,237,842,382,452,785,511,946,190,288,347,243,606,253,480,605,085,202,836,
868,040,979,378,270,504,437,305,638,349,790,289,031,702,389,402,342,487,563,
991,099,478,921,851,727,718,443,817,843,632,576,434,335,903,940,293,473,907,
043,616,820,397,379,148,824,044,190,251,393,801,572,621,553,582,247,069,205,
195,119,324,094,682,674,393,824,180,154,352,142,747,491,203,681,583,167,941,
614,706,806,196,202,285,190,334,827,997,136,169,593,079,847,617,503,476,006,
307,312,122,354,688,021,901,244,627,366,504,459,240,770,770,182,237,155,218,
541,997,165,691,197,078,594,610,701,648,121,429,865,827,882,750,115,238,080,
567,160,492,680,654,215,104,433,945,701,441,830,607,914,065,059,237,277,133,
051,085,135,369,038,315,297,872,770,806,045,623,788,051,785,296,701,330,368,
192,100,719,554,898,507,013,035,110,059,668,342,722,613,099,178,206,928,359,
808,919,943,395,849,888,705,617,377,182,712,664,477,503,684,240,870,650,513,
774,231,762,976,988,685,722,478,948,886,984,029,854,389,379,673,341,035,227,
739,438,572,825,319,106,511,665,588,533,341,031,284,413,303,872,985,385,977,
047,831,436,346,753,599,935,577,630,122,441,051,765,624,238,861,139,105,111,
636,319,057,087,018,268,678,689,286,614,940,513,456,505,586,365,769,044,429,
464,365,344,881,366,637,287,037,089,265,209,700,995,188,433,861,065,381,691,
998,761,956,075,359,270,513,553,303,252,025,034,649,172,914,915,516,930,270,
839,134,559,137,893,055,712,467,911,268,552,043,351,130,883,634,862,503,277,
522,518,109,979,413,148,527,142,133,538,106,850,473,031,375,600,025,476,398,
170,268,072,207,377,279,515,181,288,181,912,478,706,813,425,001,715,796,549,
288,064,020,869,311,452,966,566,158,946,227,133,431,012,340,494,582,838,952,
201,291,382,629,615,399,903,429,499,513,544,263,254,938,685,114,522,582,627,
728,673,899,691,773,525,494,889,549,752,699,072,081,624,431,367,256,360,060,
928,716,348,707,378,363,186,227,954,543,401,560,634,511,461,869,521,057,236,
930,386,811,714,298,645,363,263,272,491,756,163,885,374,101,901,870,123,018,
255,091,188,706,396,512,574,492,149,945,600,385,973,794,478,802,542,145,768,
136,152,425,164,999,606,907,488,826,675,808,385,674,724,490,953,751,943,556,
027,084,739,622,988,097,655,722,711,863,763,295,292,830,493,250,203,955,713,
870,377,408,847,171,232,549,826,550,171,725,678,357,986,671,373,155,340,238,
818,871,364,710,587,852,550,211,780,957,024,227,135,678,184,768,225,101,807,
012,854,864,809,667,571,037,448,014,533,180,083,729,387,543,824,722,985,076,
325,943,509,412,614,140,153,803,344,094,415,313,350,097,278,750,730,050,631,
333,066,881,825,856,484,473,848,542,909,026,407,953,889,062,863,223,989,201,
568,161,663,186,288,713,116,744,787,583,971,436,632,757,763,293,232,365,025,
641,038,130,542,170,098,814,290,051,158,005,699,179,928,136,725,184,809,730,
598,177,842,786,023,485,625,524,547,145,742,943,553,108,061,452,167,102,908,
104,479,465,713,698,358,866,183,356,977,502,971,320,807,391,778,709,380,485,
134,576,734,652,705,189,719,470,187,679,229,937,382,110,722,649,581,133,569,
864,042,879,916,006,131,446,037,072,812,291,838,088,617,865,607,792,329,406,
080,558,384,726,233,728,347,389,873,278,640,933,276,008,015,141,042,972,422,
735,632,141,990,415,347,218,619,945,300,749,872,607,670,811,890,212,168,940,
720,701,970,269,758,563,508,827,763,505,050,542,320,797,942,922,871,631,018,
739,260,515,746,525,582,020,310,368,662,760,338,284,729,725,832,888,940,462,
072,830,725,207,577,585,489,561,495,632,153,864,569,573,561,767,972,808,735,
261,022,807,016,840,149,568,665,759,213,312,988,866,569,584,589,983,891,096,
363,889,021,864,144,382,282,397,714,402,641,517,599,193,165,642,700,219,373,
751,806,291,574,421,828,802,707,882,980,393,612,730,170,758,296,947,053,651,
017,904,263,660,385,288,025,491,577,106,611,673,058,888,478,605,142,207,428,
328,812,203,942,608,262,836,864,605,097,942,751,461,226,530,391,123,870,989,
752,760,249,728,416,046,512,330,596,829,593,407,776,565,111,709,740,600,899,
869,167,322,232,579,261,935,182,389,123,528,681,903,445,754,914,803,955,338,
476,791,274,033,585,592,787,891,396,722,703,039,953,834,769,688,779,970,617,
704,210,323,133,053,751,370,270,255,586,642,437,961,429,164,713,479,744,543,
459,441,877,149,074,721,263,722,557,703,573,278,720,040,896,755,724,956,139,
494,970,482,964,996,226,009,743,706,407,684,644,053,245,684,723,757,249,970,
064,037,854,325,757,043,263,369,417,015,911,497,699,634,275,630,373,135,686,
936,831,921,678,722,959,390,225,231,337,420,410,570,938,003,056,626,911,971,
058,241,873,828,830,264,941,279,668,794,798,065,073,918,715,891,764,643,158,
719,094,803,019,352,801,158,517,049,880,914,938,469,352,830,424,881,928,180,
290,090,930,152,352,885,667,966,786,383,981,442,842,479,380,443,430,953,185,
008,751,762,372,437,371,091,869,734,645,773,798,090,218,853,216,572,016,500,
989,132,959,615,534,314,133,116,826,824,420,104,581,011,451,302,727,759,641,
380,410,889,542,935,638,789,870,082,579,129,521,539,954,242,149,346,516,819,
602,669,050,296,776,167,920,518,464,212,366,447,645,441,049,433,932,504,288,
846,515,258,828,623,185,171,695,040,831,716,282,043,540,914,437,045,866,137,
071,287,409,844,285,447,888,203,551,903,339,986,648,263,257,344,232,279,717,
263,291,660,864,879,429,820,195,741,945,704,999,341,974,735,574,767,971,127,
371,481,445,292,752,635,579,848,427,662,135,073,692,985,306,351,269,440,053,
009,364,792,813,002,639,550,192,986,597,547,654,032,108,385,654,116,134,380,
890,631,995,037,173,741,183,724,981,003,578,700,957,950,952,344,081,619,081,
388,352,467,950,043,156,931,547,120,056,775,089,349,660,211,616,424,148,971,
388,170,582,509,301,681,277,267,851,287,734,882,613,026,149,116,538,893,152,
930,683,060,588,318,076,929,817,209,848,648,437,187,609,126,036,208,507,340,
732,416,597,896,250,935,582,880,477,450,957,778,023,898,986,281,339,145,115,
429,005,547,882,717,436,960,302,641,043,140,520,200,596,119,167,963,539,508,
353,437,225,997,004,153,858,186,268,379,259,148,585,839,859,299,216,345,256,
214,663,405,865,939,626,095,850,547,078,284,153,245,554,600,221,072,707,629,
868,322,054,960,799,713,502,663,500,820,794,390,950,642,354,181,017,004,148,
165,649,889,000,719,413,997,949,456,571,651,281,509,384,881,500,723,264,635,
806,891,827,045,583,258,285,223,767,985,634,516,149,603,984,693,332,072,854,
605,629,007,869,773,533,597,323,115,259,049,043,828,902,824,019,244,656,744,
408,614,676,638,788,175,823,225,342,538,394,148,318,632,098,702,980,709,280,
019,929,014,967,429,528,434,860,270,084,795,440,670,442,593,916,014,595,378,
621,417,253,082,940,184,287,105,216,186,597,066,693,788,336,974,870,837,355,
182,289,975,152,365,088,454,374,074,236,830,528,380,501,082,252,804,187,437,
013,282,171,326,440,531,609,129,956,803,310,059,740,569,214,109,604,670,801,
413,734,185,282,940,205,429,277,046,549,831,874,397,108,955,288,908,943,375,
485,345,854,338,494,738,294,571,265,830,036,738,020,275,498,790,218,823,447,
481,433,140,326,439,423,854,548,865,599,436,905,562,415,091,251,282,615,349,
412,272,500,242,118,024,690,268,332,474,999,498,697,871,295,710,992,341,463,
334,201,824,002,659,036,224,525,946,587,099,937,506,322,694,439,436,102,694,
847,435,497,253,680,465,204,138,680,728,208,425,529,430,206,409,410,282,128,
722,328,896,631,573,152,343,187,255,774,832,608,732,025,280,196,444,542,884,
355,394,174,374,140,143,779,415,797,916,883,126,554,125,874,029,502,911,923,
669,699,573,460,173,796,582,491,456,983,254,147,170,708,811,905,722,710,187,
845,025,436,354,255,148,655,067,631,860,182,174,981,335,361,378,013,895,509,
027,042,730,932,312,624,379,142,871,346,935,522,741,297,258,348,324,125,659,
509,859,624,477,893,787,615,628,930,210,531,852,368,367,256,840,068,089,118,
198,666,893,241,753,068,999,734,521,668,511,770,000,935,683,924,147,278,015,
067,217,353,505,432,693,703,165,981,013,178,360,039,550,989,047,597,424,846,
052,897,057,377,278,968,088,767,563,057,605,150,375,502,001,980,904,235,469,
810,880,325,025,435,812,383,341,004,461,773,059,303,690,230,869,187,059,609,
299,296,398,347,121,841,964,197,236,448,641,210,118,077,123,619,510,595,871,
322,277,308,241,477,288,852,846,380,764,395,503,255,602,289,380,152,479,344,
476,021,294,988,551,037,984,428,045,237,572,743,592,807,109,671,064,854,996,
551,835,501,685,980,300,892,336,135,252,400,246,809,327,820,988,418,522,870,
952,981,324,156,740,008,047,871,130,831,613,277,824,454,007,865,468,446,660,
265,745,690,843,125,862,713,829,268,411,416,804,312,099,047,328,384,155,207,
614,842,145,935,743,706,223,654,285,893,340,871,050,183,507,366,435,385,750,
973,754,668,517,482,898,237,636,807,259,903,402,977,487,582,857,512,408,101,
008,322,046,079,950,320,808,241,076,274,893,250,521,369,193,541,541,985,554,
047,988,833,183,179,156,565,122,739,972,946,417,109,909,393,319,053,918,361,
928,127,331,820,799,395,668,722,505,721,090,620,600,885,609,243,736,403,626,
168,342,374,340,933,137,124,124,378,464,565,189,558,472,000,765,508,170,901,
164,218,589,131,197,031,437,833,208,336,133,893,675,352,084,051,750,177,204,
699,844,573,855,295,980,344,538,997,175,090,901,742,930,902,007,408,194,446,
549,113,962,653,154,177,116,230,858,331,982,970,608,800,643,513,948,637,501,
343,862,958,237,386,500,132,215,534,824,698,506,054,576,807,641,889,176,340,
129,671,953,735,657,496,010,199,204,935,626,415,509,058,463,400,147,382,246,
104,985,785,765,421,144,407,772,403,615,071,202,468,504,703,010,952,024,915,
936,552,270,090,648,076,978,000,703,296,979,847,073,164,118,010,794,662,693,
887,000,456,031,495,400,798,362,177,361,497,837,249,158,459,468,215,747,115,
660,872,827,155,941,555,743,994,756,395,157,527,721,216,714,946,749,494,255,
902,196,860,221,282,516,566,174,983,818,714,757,677,271,322,277,552,951,870,
473,817,808,007,999,428,239,298,968,154,877,260,766,673,718,656,131,510,645,
374,253,168,754,623,131,413,683,084,688,707,168,719,219,746,320,747,644,674,
240,104,520,487,946,147,828,626,063,224,424,788,222,534,737,665,771,001,673,
623,242,918,700,499,458,239,755,151,683,501,862,911,924,621,948,218,719,168,
174,501,115,315,646,746,517,185,185,985,718,830,717,939,113,209,704,209,307,
225,209,508,388,362,202,422,603,976,705,899,234,375,408,541,724,881,983,536,
814,265,149,343,550,451,122,657,574,388,218,534,849,016,418,970,425,120,589,
319,263,459,330,406,795,499,651,630,281,816,186,123,295,924,430,665,167,960,
527,464,080,398,452,846,473,785,119,883,624,677,655,991,733,371,346,164,517,
688,203,111,493,784,835,867,243,933,352,750,003,174,616,343,010,211,860,930,
708,037,881,163,665,074,262,911,716,483,576,110,291,923,262,563,998,346,210,
024,839,659,916,170,625,837,348,347,357,262,383,595,995,919,453,816,297,928,
678,041,221,431,483,148,890,453,413,050,921,640,735,558,479,503,838,648,878,
376,795,161,078,029,656,954,925,693,705,447,105,068,364,109,458,702,477,856,
627,194,773,231,137,029,248,818,279,944,030,597,220,168,731,330,355,351,485,
285,497,503,539,932,733,295,090,892,549,206,162,457,326,752,480,910,211,530,
180,499,577,668,638,541,539,928,383,984,043,257,582,829,053,193,066,954,055,
580,086,814,937,684,327,691,947,335,500,630,578,565,054,849,149,911,660,174,
813,735,031,646,596,717,260,524,439,478,206,963,599,168,728,225,310,874,336,
288,395,236,180,467,920,903,979,101,868,176,920,943,860,900,204,742,009,499,
356,137,328,195,836,429,740,093,941,946,000,826,841,222,999,494,163,793,381,
595,694,370,680,842,379,734,972,647,114,676,271,332,907,060,349,777,486,292,
207,299,579,117,366,736,127,253,916,378,805,485,952,021,634,575,972,228,475,
024,091,280,281,075,797,631,630,422,910,793,434,228,447,480,658,786,732,092,
195,340,400,580,101,322,493,578,443,665,427,083,519,924,504,215,913,034,671,
704,281,316,562,288,884,222,628,093,211,641,661,226,646,917,138,977,035,879,
118,087,573,998,403,353,098,883,239,342,705,289,986,560,399,146,848,960,970,
707,627,149,749,046,029,117,882,644,393,423,442,633,685,325,994,586,263,489,
772,199,551,924,234,993,272,595,236,923,057,950,560,472,035,568,763,309,588,
757,177,463,626,492,346,906,648,420,078,552,644,041,667,538,868,684,531,431,
539,013,672,391,267,860,049,297,384,369,504,385,743,488,793,213,802,338,930,
537,311,016,063,901,576,649,753,482,222,725,649,668,114,544,295,514,640,999,
617,292,504,502,035,089,065,396,367,212,762,635,988,856,566,947,413,143,304,
769,038,811,127,290,403,925,413,200,294,941,204,760,132,979,964,054,210,633,
674,807,788,984,220,447,143,734,595,595,339,759,376,218,278,789,911,971,602,
103,222,655,286,191,821,289,922,830,296,619,226,414,032,778,967,496,600,313,
170,673,175,475,751,798,538,964,786,590,545,459,234,368,239,775,382,493,666,
840,830,240,889,123,222,108,343,555,406,597,766,939,701,506,480,230,003,475,
123,930,397,513,822,617,587,772,128,159,774,509,964,303,783,032,702,961,515,
998,476,162,538,759,832,813,528,744,405,848,376,547,738,736,483,669,647,718,
754,107,755,938,701,036,858,337,073,857,290,756,333,717,166,584,260,562,900,
252,352,497,359,792,622,137,007,844,884,787,153,830,888,273,009,586,065,601,
102,445,064,167,699,768,801,243,877,395,245,165,341,068,101,237,603,870,890,
637,154,254,981,748,511,959,262,383,834,850,434,560,348,344,984,214,803,840,
886,854,102,777,192,761,860,005,874,820,728,922,571,095,889,253,642,928,694,
447,622,997,579,613,996,725,268,107,420,733,829,488,971,511,721,389,501,638,
188,661,097,630,353,032,387,850,886,076,453,490,751,049,710,770,470,649,971,
007,978,302,524,322,683,631,331,336,884,103,643,918,489,972,711,323,309,995,
349,330,988,529,616,932,795,496,114,238,087,963,935,861,896,400,515,884,865,
662,102,215,734,499,799,990,332,675,194,253,878,646,705,587,477,340,668,410,
346,181,691,259,401,633,522,301,349,747,044,168,747,860,283,175,660,458,316,
724,555,794,966,276,803,115,126,665,421,648,511,056,179,974,986,259,369,045,
707,616,242,171,223,729,145,896,116,381,418,953,088,398,358,706,172,728,585,
466,692,522,582,810,327,011,260,458,330,418,088,643,059,363,935,778,812,542,
597,993,074,991,158,554,206,426,190,722,454,354,366,299,513,665,985,302,037,
187,188,080,213,244,766,209,346,300,862,091,455,792,581,630,602,446,598,228,
699,198,222,863,874,622,639,858,927,769,909,424,519,079,125,210,520,732,849,
642,787,145,611,941,608,132,496,269,809,735,063,453,181,952,347,091,974,203,
233,317,672,329,205,156,273,640,516,997,948,833,333,636,711,563,054,303,957,
090,396,570,127,767,206,616,924,422,975,439,275,934,573,922,195,410,384,442,
921,500,531,432,331,191,325,907,090,224,307,253,620,787,804,261,713,047,368,
765,333,145,301,386,517,296,766,683,026,336,648,079,106,675,201,874,434,454,
287,305,173,892,823,193,785,077,238,546,715,041,506,142,630,947,426,043,266,
924,559,277,001,496,115,794,603,819,221,986,262,615,886,907,118,287,914,498,
636,356,303,872,880,316,972,393,290,798,871,821,586,522,271,287,132,566,876,
079,665,533,044,263,837,145,462,630,935,372,468,085,454,261,655,753,422,220,
972,746,971,865,475,236,496,594,174,171,924,704,277,789,777,418,568,202,719,
265,544,978,614,565,959,775,793,074,804,885,581,113,464,948,669,353,833,170,
149,074,026,865,216,579,684,602,989,928,978,250,606,827,829,970,973,855,126,
088,114,960,489,266,637,211,760,954,733,780,767,421,929,920,803,405,525,709,
860,693,092,749,469,112,969,074,401,226,369,136,386,296,644,298,603,485,051,
947,504,142,038,293,736,127,562,454,965,619,403,466,651,592,614,278,275,198,
072,794,171,756,019,337,909,202,875,290,210,725,040,749,408,421,846,065,988,
913,930,461,003,374,880,821,499,016,304,907,521,088,108,471,030,661,929,074,
563,028,428,315,632,106,054,067,723,858,813,483,617,623,566,095,928,744,176,
357,003,740,483,781,914,337,940,044,161,780,706,349,354,031,289,651,373,294,
665,931,554,728,429,272,378,319,005,023,702,724,244,028,167,226,711,299,719,
473,550,782,841,814,910,181,308,892,346,386,644,178,797,221,853,727,566,865,
619,933,117,441,623,590,150,934,182,669,635,363,256,967,927,765,520,100,844,
999,464,167,716,332,158,838,071,515,449,496,342,264,988,799,808,862,397,811,
445,324,069,484,562,890,825,696,557,761,071,782,493,428,076,700,975,998,143,
801,618,656,673,171,341,489,994,563,920,764,273,275,150,425,754,156,613,585,
611,565,110,372,197,491,131,729,574,487,270,390,011,820,244,950,652,358,009,
788,607,555,574,448,690,249,128,617,930,457,200,754,129,273,025,062,935,229,
183,265,729,745,406,015,577,465,954,709,395,123,947,203,749,757,428,134,519,
311,291,597,363,737,918,179,550,712,192,472,769,673,450,114,367,692,811,567,
311,558,673,859,561,482,201,500,481,185,438,917,650,801,770,470,888,495,507,
370,802,870,541,371,859,318,635,217,356,066,088,535,159,851,367,569,400,738,
525,658,519,078,984,802,490,447,457,621,415,930,622,194,552,835,674,228,441,
591,600,490,840,987,279,945,019,797,710,642,890,148,006,714,384,308,536,790,
838,830,495,107,537,120,164,844,117,721,603,820,354,426,376,663,505,342,227,
718,715,518,438,970,806,465,376,383,913,779,124,559,225,123,199,959,941,922,
390,909,096,836,551,114,454,241,194,941,727,511,454,563,257,782,410,509,527,
291,280,810,649,617,977,706,097,105,438,114,080,641,687,033,599,977,867,740,
993,408,073,189,528,645,911,905,121,516,578,571,045,623,524,166,315,145,322,
526,486,062,756,310,877,301,194,494,455,819,987,835,207,529,799,707,432,966,
142,371,350,410,416,648,274,876,042,434,898,193,540,454,834,402,418,383,281,
980,371,548,075,230,536,311,389,576,478,106,793,234,120,955,919,536,562,792,
507,723,743,325,431,742,150,042,507,621,878,265,003,707,736,363,394,316,957,
721,064,638,129,371,899,917,073,556,995,028,304,371,435,799,287,252,247,508,
454,591,520,257,031,341,722,905,690,364,462,779,495,385,627,580,371,023,993,
047,249,963,595,470,732,223,768,189,399,904,588,485,384,797,488,793,772,555,
183,425,520,982,567,804,573,397,265,018,611,680,983,002,986,942,712,674,327,
349,215,132,856,457,490,294,126,133,119,220,044,773,694,823,636,666,092,400,
923,357,767,027,196,837,797,148,011,122,605,657,162,637,948,063,830,146,869,
973,338,307,970,888,152,002,366,079,161,559,435,508,862,745,232,362,266,701,
815,042,817,613,560,445,941,962,888,097,594,381,437,247,792,918,333,434,997,
935,676,321,391,650,090,763,824,636,185,179,885,419,244,347,938,337,791,731,
814,105,588,828,110,171,529,175,101,284,255,955,183,862,880,583,204,653,441,
211,998,130,471,210,522,806,453,932,154,908,038,934,785,623,208,533,340,684,
577,821,674,505,131,103,907,159,960,740,266,483,387,725,216,502,472,200,123,
309,450,327,943,760,942,119,504,585,287,496,299,045,448,271,404,752,491,984,
511,298,147,362,315,375,218,001,542,875,282,886,225,534,139,342,941,017,527,
647,970,511,190,923,654,703,690,627,550,698,466,093,216,372,400,252,925,597,
254,383,661,334,766,557,155,983,656,342,913,686,288,162,135,205,792,356,849,
755,581,456,957,675,334,033,825,669,478,350,692,602,079,999,675,465,553,025,
798,294,449,523,986,440,850,778,347,721,161,585,305,260,130,578,129,670,544,
154,450,706,909,098,080,381,105,066,922,919,520,071,592,843,277,816,968,460,
743,799,123,214,467,131,141,296,652,837,221,399,554,452,836,899,642,570,253,
757,032,131,266,816,571,126,724,520,052,155,331,572,770,362,466,136,185,538,
891,597,653,220,411,459,835,783,947,742,905,309,900,973,573,377,184,850,733,
256,324,196,543,647,931,543,928,440,716,282,758,163,839,263,125,571,211,736,
467,685,090,592,252,348,851,739,627,856,596,231,248,272,280,139,830,557,328,
971,079,459,609,832,961,300,194,192,862,386,369,379,606,392,968,071,277,485,
773,185,724,948,534,254,608,800,648,356,576,371,178,153,075,337,521,359,708,
388,531,894,093,593,585,321,325,213,582,247,621,066,400,030,860,127,987,613,
241,836,017,171,407,519,330,772,423,334,857,610,708,449,690,709,982,958,221,
995,076,333,720,312,996,409,621,135,666,548,168,456,216,682,050,395,441,423,
818,171,869,836,290,532,524,763,150,397,084,395,286,264,606,613,165,884,897,
290,740,224,648,857,342,875,282,566,612,286,346,793,312,179,775,323,806,361,
147,154,487,772,602,510,557,702,684,184,110,136,388,356,005,147,913,782,821,
846,851,308,796,318,228,977,597,994,363,613,220,422,369,925,703,342,085,132,
013,251,077,711,656,700,355,677,945,965,657,053,841,654,661,055,185,335,801,
588,500,833,174,266,959,476,267,700,355,891,045,183,131,801,654,945,933,530,
681,648,018,890,571,243,121,029,004,004,239,961,757,015,697,387,891,568,602,
756,418,321,574,552,904,955,472,305,785,072,066,449,884,279,931,982,253,792,
287,309,795,662,161,746,980,317,251,191,177,016,580,514,430,936,701,653,544,
706,997,611,946,607,877,702,120,402,731,173,198,215,539,826,830,497,699,430,
064,344,430,508,953,178,852,985,550,769,359,276,950,074,807,771,365,564,457,
723,524,696,897,038,394,975,657,889,185,705,897,101,481,559,625,382,765,272,
965,901,319,553,964,199,631,808,097,629,767,020,229,430,628,564,133,274,981,
161,712,347,219,742,536,360,517,722,531,654,774,381,628,092,538,865,639,596,
273,619,139,353,802,865,507,821,056,956,224,036,824,007,642,009,628,925,208,
305,081,367,260,299,146,652,165,035,593,236,107,982,712,993,599,894,097,294,
346,017,845,927,974,259,333,024,224,944,360,721,915,113,109,896,851,347,410,
895,327,999,999,026,727,895,468,795,610,447,135,902,904,647,012,282,993,258,
170,621,470,142,405,020,379,234,582,293,548,013,543,585,271,443,118,006,689,
394,161,626,899,803,626,921,602,638,096,929,652,035,371,042,151,341,838,220,
574,226,978,400,822,491,644,722,787,987,481,299,341,266,914,685,288,205,139,
155,479,521,856,673,440,754,722,143,051,304,361,715,714,616,860,953,256,340,
403,413,468,810,013,220,267,185,069,142,817,811,322,020,928,322,698,110,010,
708,425,709,125,049,937,210,321,033,658,701,713,355,549,680,806,561,394,338,
181,155,453,218,283,767,889,252,444,906,813,157,328,455,153,414,240,953,450,
874,100,582,894,392,157,000,565,179,078,257,039,112,455,156,428,902,578,706,
570,745,599,124,155,174,992,477,212,328,823,701,976,134,130,994,448,419,289,
622,547,800,750,375,864,929,137,584,043,953,495,655,505,495,854,535,163,242,
406,153,183,829,815,485,664,058,161,390,944,796,597,833,213,543,473,468,305,
881,346,355,992,448,354,194,925,513,128,349,292,846,217,052,524,586,129,487,
209,790,443,432,067,947,247,905,866,183,340,419,766,216,319,966,890,066,607,
513,966,574,023,207,259,328,859,811,856,743,231,183,370,088,409,476,512,352,
008,072,675,376,124,568,576,370,716,898,548,530,162,293,825,523,694,674,403,
866,947,979,835,389,044,304,905,422,851,636,588,609,998,787,064,987,348,154,
150,965,672,649,114,013,401,609,652,959,611,633,127,134,230,591,401,528,508,
011,686,812,040,209,332,698,881,882,989,310,497,828,700,495,115,748,495,510,
330,786,659,612,489,591,983,749,879,291,874,298,266,331,329,604,862,427,261,
335,855,744,204,226,692,275,453,197,609,976,811,836,414,263,020,774,264,336,
079,829,062,110,690,504,827,683,831,796,032,699,579,243,660,420,120,700,157,
416,436,911,685,588,864,301,322,374,159,247,891,823,962,443,503,736,920,787,
790,049,421,911,522,867,514,228,112,646,495,325,777,156,371,349,076,530,446,
134,808,172,944,587,606,825,898,301,575,571,341,889,984,989,364,871,158,269,
159,536,823,654,585,723,089,113,095,986,341,191,984,385,676,033,440,184,746,
591,772,258,455,819,509,375,183,773,215,892,050,232,155,886,782,899,557,123,
322,633,838,044,636,585,115,890,225,294,293,718,375,116,195,021,926,862,628,
760,045,802,793,119,581,526,910,711,341,884,535,333,841,526,248,546,139,010,
453,624,922,115,616,522,853,957,877,601,010,631,644,164,312,790,841,008,580,
052,456,176,768,467,980,602,968,366,480,148,440,741,458,345,999,725,470,259,
481,781,742,978,134,428,516,431,802,764,143,632,819,972,821,735,884,110,179,
372,640,410,914,031,116,870,297,412,352,545,377,990,327,028,488,662,447,789,
770,491,020,348,627,628,782,085,126,517,136,782,963,927,900,894,465,137,249,
493,235,332,184,714,326,614,857,844,749,863,324,645,193,451,637,625,310,316,
052,979,114,985,247,466,722,790,676,941,658,884,189,025,478,536,220,010,781,
194,178,152,036,334,962,328,365,912,096,413,815,112,716,180,748,670,633,515,
294,720,865,417,402,114,557,851,814,228,647,254,744,919,251,420,922,943,570,
733,145,472,014,531,115,441,326,651,381,034,419,708,620,691,397,705,523,465,
522,204,115,962,670,842,090,263,210,207,105,123,041,270,686,457,073,530,588,
782,106,863,741,171,800,543,326,528,995,950,340,877,485,809,115,107,140,508,
955,736,278,919,204,863,260,884,773,790,727,306,477,626,472,029,264,266,372,
437,438,348,736,995,328,141,533,782,599,298,198,692,405,816,508,745,711,822,
184,679,416,956,755,201,868,014,152,991,644,046,349,385,892,474,585,142,360,
546,237,396,972,644,447,245,426,751,972,052,346,322,601,848,131,638,996,028,
510,820,318,608,747,312,971,711,356,853,185,333,143,648,611,556,355,385,413,
163,483,895,234,247,817,067,621,977,230,674,167,912,407,016,242,639,013,304,
435,290,815,440,117,556,165,170,469,230,137,342,958,520,916,159,117,779,542,
268,723,245,137,054,927,588,714,319,474,226,682,970,046,750,512,423,829,675,
198,213,395,647,609,353,632,235,811,055,171,926,310,357,985,619,987,351,563,
702,839,112,196,791,845,500,626,522,462,378,625,475,499,057,245,896,923,567,
745,893,064,982,549,891,683,129,678,494,879,923,790,678,000,214,321,697,646,
887,346,839,733,045,672,435,071,858,029,450,935,011,899,344,735,806,418,542,
024,954,488,850,024,903,701,832,320,668,626,941,654,096,355,813,135,320,981,
493,443,556,054,926,015,705,547,392,905,381,232,374,804,985,721,980,150,498,
797,046,586,055,982,408,285,584,140,464,133,429,814,551,343,043,628,193,058,
065,305,266,566,008,735,168,320,820,572,977,264,639,935,875,502,849,185,934,
144,612,606,513,353,229,197,828,609,549,329,105,923,768,772,912,988,608,079,
485,951,518,960,468,906,504,093,516,330,524,913,647,134,298,334,086,170,490,
945,137,849,788,571,912,016,323,648,461,641,003,001,528,724,878,868,406,576,
249,549,605,658,843,595,830,993,657,659,459,504,008,748,696,573,136,658,269,
388,777,848,509,866,975,571,270,356,264,908,964,021,995,683,657,360,277,644,
745,404,466,683,504,043,967,129,851,554,252,337,620,742,604,862,174,797,735,
965,672,996,325,741,836,123,473,079,248,434,775,131,684,034,206,674,347,277,
560,604,982,383,718,474,195,126,695,503,721,332,826,209,253,306,624,274,147,
732,089,680,367,882,609,552,510,941,672,738,615,471,389,408,214,360,981,424,
507,563,658,958,688,399,881,074,216,430,155,497,681,943,884,547,815,044,913,
237,468,278,709,002,843,219,407,722,586,218,519,908,491,181,836,880,078,099,
089,823,794,279,935,619,946,813,983,572,528,517,795,569,103,451,784,493,049,
132,686,938,163,143,597,011,148,884,462,927,654,501,211,891,958,976,669,486,
590,763,155,415,835,459,186,210,499,430,366,721,838,156,489,564,688,325,342,
124,426,124,368,824,288,832,530,262,790,953,128,938,239,241,332,619,841,403,
144,983,858,833,136,352,162,750,844,342,384,988,647,941,841,005,373,523,629,
128,901,696,725,034,780,369,886,403,275,484,902,319,350,789,909,043,029,910,
385,976,838,470,319,600,500,513,309,948,839,780,934,069,449,009,804,530,750,
590,957,869,202,996,692,651,725,141,819,067,554,195,426,001,301,778,169,228,
499,644,932,977,263,468,381,162,876,010,397,872,724,875,175,859,894,805,335,
912,775,864,667,291,585,389,280,733,570,321,761,564,482,166,126,838,904,196,
505,014,610,649,686,780,756,504,868,663,902,100,816,775,855,195,861,721,990,
713,230,678,022,112,516,590,965,889,790,197,883,403,487,064,663,833,016,284,
607,596,677,923,916,609,260,614,783,189,226,769,894,500,481,681,577,642,573,
913,447,136,393,733,381,321,574,731,611,406,945,681,002,299,554,637,975,868,
676,519,813,222,982,404,924,895,916,124,979,723,912,289,413,350,965,482,953,
752,536,922,627,159,085,839,860,378,570,233,429,634,904,491,037,520,615,685,
413,728,191,157,512,484,313,772,199,407,154,654,487,419,849,142,195,575,614,
208,013,479,204,796,683,282,538,115,640,747,203,263,505,564,334,376,070,476,
727,766,525,845,395,453,495,836,994,463,327,650,688,430,988,351,660,381,601,
174,072,392,813,500,963,929,474,695,456,478,807,672,184,315,646,729,794,991,
058,061,273,073,903,833,882,762,223,696,813,829,678,352,563,969,713,911,760,
472,137,616,435,090,150,793,528,374,461,343,187,573,271,973,497,527,389,404,
669,073,776,355,617,708,546,029,469,533,097,114,391,121,941,930,136,015,953,
847,046,350,408,648,996,876,223,232,080,999,652,770,704,222,324,625,403,078,
957,002,967,304,439,250,608,945,840,596,607,144,553,886,029,297,952,802,924,
860,362,278,493,223,981,131,795,866,035,152,824,872,539,101,933,946,613,610,
881,323,917,501,764,364,023,413,515,289,070,358,785,279,521,206,331,745,917,
758,617,066,045,222,852,998,900,273,729,050,259,067,796,761,280,622,504,214,
262,699,940,491,731,353,380,935,380,126,614,499,906,751,819,361,125,488,510,
362,663,028,013,071,442,298,811,728,763,243,823,264,892,991,295,018,701,600,
790,176,933,742,436,749,853,098,262,572,766,764,909,554,664,688,829,474,256,
095,270,795,283,397,117,769,104,777,536,441,316,863,834,705,074,992,995,938,
466,917,696,141,640,367,787,589,029,359,692,379,889,340,726,749,182,879,489,
326,783,679,541,792,247,784,792,302,373,118,601,960,488,364,939,566,285,986,
774,558,349,463,483,854,989,058,498,509,179,172,115,044,061,932,926,345,271,
795,670,861,308,827,848,829,234,822,071,061,149,752,257,540,395,540,458,855,
764,828,185,121,559,963,378,267,007,181,516,821,777,135,118,767,184,946,845,
906,598,385,462,956,131,459,094,052,437,510,587,565,892,848,638,276,843,328,
705,073,147,175,668,377,691,950,169,440,801,686,580,922,665,690,297,128,663,
688,780,608,715,889,283,644,576,155,177,427,146,506,440,720,187,848,944,463,
662,568,435,270,021,995,959,891,256,907,407,671,389,580,311,841,986,632,349,
842,032,438,919,523,775,380,745,044,471,518,369,712,235,363,461,981,807,347,
068,535,122,634,242,979,126,492,013,213,346,062,573,952,359,327,489,744,848,
278,232,477,342,848,235,510,280,454,501,690,818,449,983,969,573,415,244,784,
807,559,104,551,631,000,027,478,542,613,362,455,711,704,076,833,042,263,359,
180,126,894,448,289,952,912,686,899,046,134,055,768,237,495,157,999,840,410,
326,199,833,587,112,598,384,666,970,003,808,738,204,402,785,060,905,095,176,
015,316,499,467,630,139,065,818,740,830,416,517,162,867,682,236,575,301,555,
705,801,906,703,706,224,571,903,800,324,794,661,787,770,017,981,167,814,966,
608,808,982,229,726,758,162,356,682,663,580,203,676,435,062,121,513,503,706,
227,150,401,137,866,034,114,940,011,317,001,365,034,403,172,197,084,241,851,
018,362,468,983,094,141,898,369,953,376,222,335,051,181,756,110,341,207,069,
103,731,668,206,559,280,687,935,597,918,059,533,372,626,569,125,979,819,038,
869,073,795,219,542,468,065,243,819,464,333,617,051,117,536,153,884,802,548,
380,514,941,077,039,807,700,059,779,672,597,961,286,518,352,989,533,232,154,
579,458,172,012,609,635,175,931,765,669,252,370,747,242,140,902,366,364,826,
881,144,466,916,443,349,479,199,098,721,314,369,139,996,265,767,212,462,478,
233,694,986,271,410,162,249,326,715,533,969,313,678,120,242,332,129,799,730,
616,770,374,597,021,275,859,226,239,181,061,232,166,629,635,138,398,028,148,
312,984,633,672,201,496,396,298,215,238,015,879,092,656,194,607,333,230,451,
419,700,191,962,117,317,517,945,678,129,481,013,410,149,887,554,148,608,961,
927,324,680,624,082,085,183,852,691,857,642,094,376,834,259,337,110,038,874,
920,789,282,209,042,905,242,359,997,883,978,553,254,513,782,204,868,924,696,
019,471,755,565,529,016,259,095,334,226,806,816,931,072,135,115,158,808,876,
861,290,414,867,649,762,294,194,293,432,279,852,025,724,938,469,282,944,654,
205,938,900,267,160,750,178,651,441,012,825,728,180,167,174,121,182,762,483,
628,779,392,920,380,782,504,070,793,007,852,853,301,869,418,055,493,578,916,
693,611,408,118,321,511,016,765,018,610,567,978,480,647,410,986,096,272,350,
039,989,185,103,460,217,501,329,414,580,123,007,784,332,419,033,639,255,831,
872,531,500,209,830,616,621,595,895,781,615,917,330,971,006,850,141,716,142,
799,757,013,061,318,895,771,309,068,511,587,673,056,861,749,827,266,943,826,
332,658,922,286,272,772,745,160,111,186,329,173,506,545,695,892,469,908,573,
922,170,100,755,774,332,028,469,948,223,302,725,993,518,160,007,573,222,903,
111,021,336,059,220,913,159,582,355,321,097,432,252,795,689,801,765,365,934,
798,720,217,996,030,396,146,633,951,419,486,863,395,391,528,007,774,270,641,
332,027,521,909,200,534,384,799,432,151,172,456,545,796,853,608,772,753,127,
813,444,874,425,735,656,664,837,572,925,232,733,492,628,198,996,404,852,874,
373,924,682,531,447,734,266,062,499,959,924,756,032,866,657,706,470,819,801,
242,519,362,351,684,241,320,756,627,698,484,605,554,969,769,956,053,174,410,
084,978,998,650,407,086,677,542,989,909,900,269,597,876,656,935,513,470,567,
311,710,992,607,626,556,434,029,411,518,654,708,220,589,066,418,932,824,074,
915,663,352,323,103,717,765,064,305,130,431,655,834,455,987,387,457,235,713,
645,904,298,131,517,091,858,755,971,084,573,120,464,827,122,242,700,292,995,
674,209,226,163,993,719,071,953,060,990,072,308,356,699,677,102,729,286,829,
642,137,799,797,712,580,405,861,927,534,321,284,119,330,848,805,674,343,699,
144,994,709,387,628,335,609,438,760,557,350,904,998,106,210,037,595,281,996,
309,475,354,120,426,653,176,330,762,278,980,597,088,815,739,932,493,191,492,
485,939,628,217,535,850,533,637,374,371,392,736,614,998,908,918,294,967,029,
765,765,530,383,720,504,336,129,308,644,839,491,118,873,159,340,150,001,708,
125,272,470,378,024,849,888,543,116,590,267,002,359,076,532,998,083,443,183,
650,454,624,116,313,952,714,335,691,276,308,006,047,494,933,471,000,304,320,
684,177,568,104,584,003,377,551,087,782,758,707,905,509,720,557,517,473,296,
265,356,942,746,654,173,875,316,387,684,290,614,653,132,091,821,992,479,640,
524,938,997,845,206,911,043,544,701,885,577,117,342,923,443,578,564,958,399,
728,218,039,232,969,420,597,892,750,190,979,137,060,968,457,133,343,321,557,
604,944,864,787,552,065,080,408,866,476,104,837,939,254,172,768,140,688,994,
792,342,188,475,192,355,845,324,690,632,558,061,396,537,057,760,489,148,623,
820,564,736,333,100,045,253,621,982,172,343,456,618,715,951,175,220,228,099,
331,037,206,660,723,654,228,814,036,165,945,905,463,106,427,044,128,037,957,
372,999,806,645,202,815,667,257,084,874,703,872,101,978,622,299,238,498,862,
678,592,629,385,583,805,833,213,081,754,228,057,788,847,886,741,167,211,869,
265,310,828,601,785,801,460,582,963,696,595,595,184,728,485,537,081,872,565,
785,741,598,250,360,912,337,955,803,039,342,777,507,264,257,171,808,219,049,
374,660,333,517,593,321,369,591,240,776,836,044,362,449,524,822,765,261,471,
700,508,069,569,425,963,942,517,744,581,695,147,477,354,174,629,907,499,528,
621,292,291,238,969,857,684,981,677,171,335,417,300,784,265,913,718,596,630,
828,283,070,774,218,712,909,968,799,905,887,566,161,846,460,866,417,233,817,
591,061,765,417,810,704,423,103,933,624,066,854,860,567,464,200,492,591,647,
165,393,090,921,977,726,681,941,779,099,362,356,418,333,928,955,777,199,013,
350,773,342,677,494,066,567,894,322,261,056,826,092,280,987,296,297,192,776,
629,987,316,014,282,401,435,160,657,516,588,946,610,270,874,182,267,075,867,
663,221,798,211,023,074,591,723,785,617,733,061,979,149,251,277,049,324,190,
679,913,389,435,919,007,450,803,669,095,088,178,130,823,504,680,200,729,176,
423,705,463,899,404,531,069,012,418,730,456,966,567,685,453,101,754,417,405,
431,782,507,615,667,826,001,615,306,123,073,299,321,295,016,443,732,056,443,
760,920,720,493,491,210,391,675,880,321,551,352,625,048,322,043,134,285,531,
472,616,260,355,370,958,353,115,108,131,693,747,839,466,547,315,349,612,202,
669,635,039,329,237,751,259,577,762,166,021,534,284,272,298,703,504,734,462,
028,158,435,073,136,051,736,776,005,168,466,166,663,675,390,654,089,867,340,
690,598,715,191,559,438,639,916,289,840,520,979,872,999,102,144,020,932,903,
955,820,017,547,888,590,685,939,973,000,331,193,091,498,694,170,542,839,710,
157,411,572,645,322,898,057,222,094,960,695,070,507,509,731,855,066,585,296,
644,445,927,998,703,035,179,469,415,320,996,183,618,860,839,441,666,715,924,
776,833,940,656,654,475,089,007,847,607,463,070,718,874,870,966,967,171,266,
033,391,282,888,589,282,938,929,845,985,173,179,010,174,454,252,573,393,199,
364,016,915,104,936,886,047,843,261,841,407,679,209,912,051,332,824,667,001,
095,405,087,867,759,593,472,482,806,862,378,401,589,416,139,424,004,644,275,
658,438,714,385,458,706,275,673,130,613,347,995,386,603,151,671,051,178,110,
260,777,614,944,046,004,134,528,921,929,341,289,721,496,389,031,381,699,900,
900,080,498,699,908,967,922,793,046,309,800,246,823,691,516,375,919,057,397,
769,024,785,651,580,368,576,682,179,078,731,325,423,557,101,162,723,961,763,
922,953,630,080,800,669,157,323,237,206,214,709,680,834,084,712,205,281,895,
020,419,157,830,369,583,629,370,515,828,990,503,933,602,689,379,007,654,412,
447,616,844,180,149,020,048,877,852,708,091,336,081,440,302,649,279,176,340,
193,310,630,515,974,059,239,663,607,866,870,142,117,374,406,639,455,538,625,
806,187,992,265,573,319,602,708,446,241,836,655,344,232,739,305,416,060,664,
864,003,419,691,399,717,977,746,787,094,463,869,339,815,669,402,169,421,843,
200,682,867,502,173,136,628,349,974,643,683,237,942,260,315,450,087,508,891,
281,225,751,189,615,486,569,898,872,048,936,385,809,978,872,195,598,434,550,
569,480,470,660,457,660,741,914,490,780,594,973,194,352,636,624,570,644,059,
074,851,064,719,536,665,076,210,681,795,863,672,692,508,979,713,445,580,898,
188,984,567,041,545,992,347,180,055,724,202,650,293,566,871,623,097,983,330,
343,095,547,373,920,106,699,268,608,119,976,239,090,491,974,071,377,281,276,
130,173,411,184,343,787,116,164,200,188,036,670,548,183,784,881,501,533,148,
877,316,826,034,820,684,963,990,594,622,053,923,888,251,873,511,243,200,554,
387,633,983,625,993,651,440,499,317,921,053,020,566,158,753,490,459,848,966,
934,165,323,831,473,048,235,274,915,670,013,742,880,771,054,678,229,107,537,
913,296,596,463,981,123,889,276,191,009,471,313,793,428,522,949,947,271,501,
773,590,052,284,738,629,143,529,871,079,798,133,451,722,580,123,761,100,122,
008,461,303,920,116,998,379,103,689,831,803,386,196,028,750,625,847,348,547,
214,480,330,652,949,606,045,616,850,638,276,694,729,967,347,162,659,640,043,
484,170,818,735,411,757,173,338,174,354,675,953,127,202,892,513,217,050,917,
568,218,357,866,571,165,920,081,811,849,190,690,121,085,064,984,160,890,784,
665,879,303,077,182,363,873,017,791,547,625,756,210,334,060,773,629,246,564,
528,080,491,779,774,753,186,239,801,585,969,414,314,628,953,046,328,116,732,
752,058,139,804,096,219,452,280,548,790,439,713,511,506,247,739,429,675,660,
874,889,871,757,025,895,256,155,604,030,793,813,459,993,692,413,036,408,650,
754,755,319,043,518,557,827,197,980,617,386,052,719,074,757,345,127,679,266,
293,436,943,772,785,924,083,359,424,072,454,171,032,257,655,922,869,045,073,
414,964,947,774,598,591,042,468,639,515,522,591,818,047,706,626,694,983,103,
436,695,748,345,794,534,074,160,928,631,493,138,111,247,518,316,481,272,505,
221,609,049,932,310,962,345,737,076,908,250,387,284,310,330,845,846,704,762,
850,441,622,891,496,732,765,844,562,358,617,664,254,145,220,812,873,691,220,
781,295,990,166,176,168,951,958,955,676,818,165,909,975,817,594,935,710,690,
880,346,579,868,564,719,065,077,061,265,098,061,106,128,087,564,665,330,686,
784,145,640,491,737,395,052,898,464,850,119,719,468,507,776,478,753,324,496,
808,071,527,070,897,199,691,847,539,855,054,504,026,122,989,565,057,588,757,
201,973,659,971,570,885,513,987,852,053,076,449,108,705,159,611,087,262,427,
915,486,404,751,702,674,479,985,573,022,552,368,976,173,569,918,689,861,434,
543,372,446,348,939,776,558,360,752,930,273,233,414,409,928,434,285,855,142,
809,941,314,320,919,388,058,234,775,756,868,704,289,847,188,343,211,759,295,
384,174,753,473,022,731,706,406,568,497,778,178,925,467,642,670,536,018,865,
939,409,820,960,451,852,320,825,144,658,364,996,834,591,510,601,293,964,610,
872,407,465,197,276,355,254,288,371,246,662,365,952,834,209,333,604,569,089,
985,270,658,353,661,638,117,162,904,703,302,119,699,306,742,704,741,238,408,
874,652,837,962,572,714,110,756,544,442,097,959,402,191,375,516,960,460,526,
680,872,927,076,100,757,158,180,371,110,367,302,712,952,268,658,720,965,892,
364,955,842,754,614,119,292,030,642,793,790,634,823,186,089,157,328,011,203,
509,452,789,662,324,438,464,019,812,116,963,171,320,753,409,277,488,089,962,
233,548,592,312,938,459,557,877,864,477,925,877,444,658,564,023,925,830,728,
612,309,055,522,129,129,949,112,848,243,229,753,206,108,430,364,742,632,213,
375,442,905,087,706,177,563,268,480,052,682,026,006,655,781,861,929,834,563,
835,467,438,169,764,819,210,649,620,951,036,776,980,447,328,003,429,584,636,
707,552,330,370,168,915,939,969,147,471,139,989,308,172,766,169,181,512,984,
716,568,254,309,623,733,671,905,020,724,276,549,207,780,550,402,137,915,955,
587,429,345,186,238,748,379,180,610,481,015,172,251,427,748,601,058,634,813,
487,673,091,261,499,785,626,860,789,862,748,571,074,002,544,130,746,841,851,
026,382,009,774,904,683,293,669,644,579,418,955,765,547,129,681,188,170,734,
266,166,175,852,158,043,414,031,047,237,168,470,732,803,988,011,520,966,780,
770,799,864,693,700,699,083,877,000,004,720,147,076,866,508,726,102,292,219,
880,111,017,990,629,785,622,427,948,605,556,293,023,018,406,920,571,783,635,
194,253,935,182,790,555,748,035,578,309,100,796,154,514,098,665,974,434,446,
554,648,291,685,881,702,594,662,439,781,299,459,422,214,460,073,335,123,939,
267,148,439,005,573,633,614,471,624,193,988,585,008,253,929,148,110,614,120,
098,389,897,314,756,138,314,946,121,607,796,377,575,689,310,478,704,617,093,
225,955,733,322,553,226,105,452,712,616,669,887,509,844,058,639,432,721,833,
291,216,136,858,784,806,783,872,658,308,362,699,510,694,681,877,886,109,005,
006,352,524,729,322,620,947,665,844,074,364,149,408,772,980,721,170,939,647,
297,934,672,779,325,047,284,527,311,842,020,963,183,176,302,545,990,789,611,
186,477,360,451,117,406,927,762,051,247,934,526,623,129,459,813,793,086,154,
299,189,798,770,224,594,130,313,994,430,471,086,577,849,273,366,809,980,293,
988,599,633,686,488,362,582,139,430,314,670,285,491,202,117,875,338,938,288,
365,841,261,939,022,713,552,196,693,031,723,485,398,377,815,869,702,087,849,
121,419,015,492,018,725,278,045,294,404,164,412,883,678,157,303,305,781,606,
091,736,407,396,901,952,543,442,233,786,623,196,860,347,846,951,407,941,070,
970,780,778,621,132,215,987,242,250,558,443,691,837,803,513,353,877,347,170,
773,793,026,841,684,900,371,335,849,101,996,361,132,239,165,312,812,084,717,
363,192,400,277,220,987,059,877,874,875,670,107,780,227,172,582,118,689,122,
171,665,226,924,100,878,934,183,652,843,324,013,779,718,134,887,144,930,073,
807,990,027,518,969,162,629,114,140,350,274,790,208,336,676,329,205,784,289,
938,264,538,177,636,622,406,704,539,119,679,703,877,831,568,508,034,793,167,
791,013,750,514,246,154,133,074,579,418,925,638,993,045,888,019,650,134,541,
787,030,872,280,775,018,650,895,540,887,921,261,113,661,948,242,879,913,604,
852,198,313,557,899,612,990,870,092,992,210,758,862,042,431,835,562,229,461,
492,137,724,202,336,662,852,411,203,778,391,269,873,481,834,352,050,579,123,
545,472,289,600,930,558,690,540,497,994,687,293,877,594,374,385,924,828,991,
176,343,123,755,568,112,756,124,025,370,874,815,847,227,962,208,032,618,962,
931,483,282,480,196,837,163,110,894,577,057,526,361,949,267,246,937,075,868,
283,374,232,507,715,351,426,455,499,075,109,005,259,626,802,991,028,666,428,
769,424,563,402,325,218,697,346,730,742,055,112,164,202,189,399,750,407,394,
472,420,245,304,804,102,905,047,190,044,352,002,050,293,087,669,826,079,560,
161,899,173,072,968,582,805,818,805,448,632,705,757,211,024,923,572,847,845,
308,230,833,879,762,116,931,764,995,677,844,485,923,324,412,186,669,281,862,
235,870,636,322,441,256,958,323,450,989,502,323,547,293,245,725,693,690,751,
037,306,867,774,091,737,430,915,874,509,741,436,534,934,413,356,767,178,703,
791,430,034,337,478,872,831,898,696,798,799,756,322,971,794,996,339,518,418,
887,900,489,856,638,154,676,229,303,251,189,873,760,518,461,043,947,229,587,
891,263,433,352,967,859,906,506,271,914,962,987,868,152,140,462,539,950,367,
256,487,513,545,910,265,358,509,713,698,533,647,543,420,525,414,414,977,899,
092,923,732,996,834,824,404,749,805,835,194,895,788,342,209,599,682,605,076,
916,191,929,412,186,563,453,637,583,668,790,037,393,551,231,900,445,084,346,
118,212,114,419,525,066,913,134,326,341,948,864,833,206,148,529,361,482,405,
496,356,270,190,629,358,888,012,373,452,115,278,166,941,902,603,354,144,189,
654,162,514,105,174,122,464,806,657,642,023,742,921,164,256,045,548,815,150,
266,864,927,957,201,101,803,615,786,592,940,704,172,348,215,806,669,921,788,
804,805,335,617,059,836,347,713,711,166,103,860,323,911,832,704,438,469,864,
750,467,509,958,836,619,928,295,266,675,533,465,380,168,899,220,571,712,540,
204,020,960,319,453,808,218,505,106,921,278,563,401,660,154,889,189,491,164,
992,104,681,995,627,242,289,416,811,998,234,272,127,987,082,437,780,085,340,
049,389,810,122,512,784,041,313,220,344,404,887,626,098,392,327,784,233,138,
513,781,718,008,070,226,944,535,557,922,847,414,651,526,723,925,859,463,872,
855,782,900,744,897,013,169,453,785,820,100,847,151,589,798,179,187,388,313,
061,527,581,879,399,641,872,965,599,182,490,008,088,209,735,680,120,073,558,
974,062,934,853,914,462,566,323,998,636,743,991,209,789,468,247,358,637,718,
483,951,715,826,772,945,352,436,150,764,813,638,701,783,287,663,247,333,222,
595,595,730,304,222,760,887,567,885,903,402,113,126,157,596,210,767,609,423,
224,072,772,362,300,711,869,514,113,576,296,130,161,718,404,325,160,309,909,
378,783,921,530,786,951,607,522,068,498,448,820,111,683,468,520,166,503,576,
147,000,259,641,644,122,399,280,992,282,448,397,237,678,262,760,729,896,400,
140,289,987,027,477,267,996,523,221,520,847,899,506,675,384,239,993,655,860,
260,570,042,510,804,699,731,998,146,807,730,132,520,540,637,175,599,729,858,
598,479,463,377,171,767,092,461,045,083,558,025,002,615,431,786,666,342,042,
279,084,834,924,667,356,814,138,185,520,771,945,214,065,335,739,832,825,101,
421,111,382,866,881,882,140,861,610,790,231,704,346,398,165,650,816,930,770,
208,552,465,069,340,354,296,105,115,170,576,521,064,417,695,375,925,550,439,
770,887,534,741,587,826,871,734,427,846,382,027,798,194,343,526,063,655,384,
894,352,327,208,976,940,799,524,054,913,118,225,509,594,141,544,640,217,521,
864,086,596,271,171,961,752,497,438,733,318,689,963,165,315,890,412,586,510,
782,110,931,132,968,368,755,770,404,526,111,049,601,637,221,555,456,647,199,
492,614,181,738,953,299,992,784,822,800,503,477,307,443,172,339,456,530,304,
508,287,277,050,617,565,651,730,722,397,312,946,401,465,431,959,817,653,457,
147,385,456,882,226,146,626,923,100,125,038,026,568,560,473,029,016,878,096,
431,308,176,763,135,316,391,797,309,727,613,498,721,812,132,103,898,132,564,
920,272,254,386,163,748,992,128,940,408,276,840,804,378,283,944,245,657,435,
952,480,544,453,783,047,890,913,544,645,484,767,959,484,918,792,542,369,779,
421,946,355,380,006,086,646,207,479,165,671,054,266,906,450,254,051,497,146,
738,057,494,361,162,873,432,076,077,761,358,714,073,747,190,851,030,141,094,
993,862,447,245,048,179,537,095,048,622,633,121,919,781,423,756,427,999,204,
588,279,338,839,809,607,760,613,021,323,107,962,971,878,889,967,751,520,154,
038,291,862,302,021,928,053,530,589,932,433,226,530,251,478,323,775,862,020,
340,833,991,335,174,454,702,190,626,703,264,295,798,729,591,272,252,145,111,
278,707,114,232,694,446,310,640,061,973,134,847,352,340,271,193,164,950,214,
523,629,473,801,895,771,212,120,022,623,781,202,753,295,241,593,338,662,479,
669,544,858,806,718,663,007,004,968,433,266,394,647,542,698,733,135,305,616,
142,451,416,275,001,747,818,718,683,475,402,164,190,951,018,551,075,808,404,
259,965,230,521,981,812,973,635,995,662,163,967,745,044,447,141,392,768,489,
955,306,139,099,557,146,984,721,151,085,216,988,897,087,906,838,312,468,905,
135,514,917,178,907,616,603,774,477,908,544,757,060,174,506,917,826,009,668,
178,316,528,459,199,805,745,701,592,383,149,753,014,242,852,352,470,569,063,
785,608,860,520,126,085,519,008,385,456,086,542,982,162,276,769,669,175,702,
607,654,933,142,201,487,095,848,399,129,204,685,034,444,283,715,921,922,344,
225,640,999,616,788,475,415,748,984,274,376,425,066,404,398,694,683,615,186,
045,265,322,869,916,914,026,913,751,736,817,205,931,120,751,452,161,819,433,
742,198,267,720,242,960,214,954,632,965,714,621,979,229,346,277,056,562,763,
187,484,044,626,257,967,789,209,464,973,039,886,830,780,514,204,479,439,987,
123,224,267,789,646,430,968,540,098,923,117,810,392,839,413,998,678,431,147,
784,623,670,812,696,540,549,514,295,546,570,379,270,684,289,167,332,433,008,
925,033,974,348,678,239,915,420,125,665,867,366,713,842,843,927,626,304,527,
038,451,073,833,283,185,852,392,635,242,763,386,992,089,418,703,201,111,512,
004,656,545,006,849,698,582,254,539,915,155,000,540,777,281,935,610,469,304,
222,245,522,421,555,023,900,366,599,997,809,503,234,945,082,493,479,095,616,
934,006,546,966,461,958,693,237,600,664,829,634,652,283,890,303,418,552,870,
104,401,920,725,956,078,990,243,468,211,529,130,634,224,286,448,751,160,565,
691,011,763,435,590,495,394,494,148,222,018,320,509,756,576,532,273,941,129,
723,245,340,563,293,963,928,255,890,408,352,961,082,713,405,838,615,761,613,
963,291,727,120,798,875,497,433,356,027,471,963,935,252,369,861,503,716,749,
425,146,010,863,992,652,016,672,308,656,690,041,506,068,632,475,142,373,861,
925,775,877,017,193,614,787,191,446,570,294,869,259,359,722,364,760,985,893,
956,481,423,297,065,014,167,507,103,542,146,286,867,104,341,711,135,228,482,
038,996,682,344,773,362,238,948,926,380,667,217,335,933,202,099,640,109,531,
178,523,641,717,485,894,774,170,105,677,166,386,168,906,676,243,366,566,827,
721,530,073,751,499,817,105,433,850,488,222,621,727,273,230,476,251,047,566,
741,205,072,162,749,370,922,278,733,594,903,909,096,957,310,794,978,085,853,
554,878,342,026,932,840,795,919,259,292,235,046,498,795,977,119,346,796,631,
457,893,901,793,476,295,908,816,626,178,974,822,780,237,895,536,755,448,328,
976,996,969,150,349,867,613,293,637,893,125,019,246,064,127,201,975,271,894,
412,913,423,989,218,805,330,656,172,224,089,941,866,399,724,605,507,994,024,
871,358,570,820,755,349,971,789,592,409,777,395,223,929,660,353,632,590,138,
340,553,174,234,921,083,856,175,980,772,773,258,279,422,748,613,639,131,177,
233,041,498,672,032,636,832,848,052,342,377,506,240,125,171,966,137,919,274,
670,858,599,884,387,256,488,261,703,861,015,752,975,049,822,893,608,480,456,
246,233,836,853,166,806,494,164,375,813,119,449,789,562,406,872,687,559,766,
187,232,702,525,642,803,625,742,499,071,708,909,594,453,545,781,684,183,235,
332,779,254,133,259,327,606,372,868,081,778,199,004,289,507,828,107,103,415,
684,646,248,430,157,645,927,222,496,290,005,375,365,974,920,047,993,856,548,
218,445,261,059,853,999,124,735,273,270,395,018,292,852,301,535,269,797,164,
103,462,280,358,750,625,458,199,992,008,018,410,969,029,453,106,319,197,001,
326,168,962,032,845,826,782,929,053,388,300,773,256,692,727,413,151,551,283,
812,150,808,403,630,396,448,471,740,003,397,763,717,733,466,974,619,207,543,
541,095,942,729,695,943,477,178,576,307,802,074,296,332,928,051,362,349,976,
570,227,179,837,612,035,520,401,905,029,770,341,896,027,986,588,163,071,008,
731,237,303,072,534,513,670,543,868,708,929,470,253,642,234,271,464,408,551,
839,656,164,799,839,757,475,278,216,235,365,029,317,986,712,372,624,569,272,
490,772,085,014,197,300,056,244,028,593,261,747,979,668,002,105,690,537,094,
052,602,025,663,184,818,072,755,267,266,486,896,084,826,922,379,589,854,519,
626,708,769,695,350,466,423,508,297,706,042,615,194,625,216,580,504,709,129,
994,496,656,061,787,156,484,977,336,163,225,632,148,760,779,085,215,233,599,
001,559,224,448,312,507,234,869,402,852,561,992,472,845,062,613,372,146,066,
629,253,241,891,483,666,435,614,047,295,981,075,964,710,589,821,754,143,247,
794,470,659,211,914,529,328,451,412,007,964,811,859,415,268,558,819,200,489,
438,058,192,604,449,939,447,457,272,462,175,503,537,505,439,447,620,300,988,
144,841,913,593,940,863,233,099,297,037,944,506,181,222,054,576,150,153,423,
182,094,807,723,710,467,729,107,139,584,977,540,906,184,897,078,364,905,006,
576,910,845,325,192,279,837,993,349,988,693,664,927,132,995,852,293,370,135,
863,599,736,654,697,253,976,656,992,151,256,838,069,043,326,382,322,886,184,
067,756,781,024,201,128,583,516,309,267,680,462,783,730,258,477,755,042,104,
670,749,483,571,781,036,979,373,063,298,184,842,655,946,826,354,200,258,532,
631,160,734,175,492,848,428,921,916,713,581,265,517,024,021,404,447,668,023,
267,614,151,887,730,564,416,818,477,067,645,664,840,587,162,984,189,501,829,
676,549,206,063,448,326,007,152,587,143,797,653,116,304,491,051,718,169,790,
446,201,498,866,985,747,538,135,839,644,186,120,773,643,547,363,949,376,746,
570,733,944,596,327,942,404,618,257,701,687,438,609,053,425,237,916,403,860,
606,937,329,337,923,341,474,855,360,331,655,950,071,270,255,825,252,056,792,
361,743,346,174,477,250,151,122,603,206,049,638,732,776,020,948,027,340,980,
816,963,932,987,150,200,002,097,730,133,397,521,380,341,501,965,315,919,638,
435,857,793,328,457,980,271,330,766,435,664,162,931,415,071,534,455,417,750,
766,609,221,125,683,699,837,019,363,565,012,889,278,537,851,124,325,097,380,
906,959,105,837,525,353,839,147,397,286,327,766,471,245,167,305,869,753,299,
236,933,485,101,718,286,678,183,915,644,559,950,590,340,945,461,176,284,948,
661,647,915,055,223,278,878,358,199,413,397,699,082,446,756,884,628,734,322,
230,928,004,879,323,833,907,455,010,735,004,795,959,400,265,978,488,977,862,
268,735,340,201,197,075,933,238,554,079,702,641,608,790,960,335,921,892,686,
690,902,224,005,347,073,607,383,922,961,237,939,715,848,941,928,224,116,630,
491,887,623,615,180,297,409,882,903,949,136,055,940,906,598,775,788,917,678,
866,460,003,996,260,463,125,410,070,284,682,335,329,089,238,996,399,105,195,
654,970,023,552,341,474,762,299,871,647,110,236,174,806,811,732,874,961,727,
046,066,177,418,311,003,173,697,699,200,322,508,270,679,800,202,272,356,287,
172,106,539,598,045,651,396,057,495,242,552,608,401,250,788,657,033,370,757,
306,931,246,553,054,390,752,064,474,194,600,110,314,171,422,650,079,507,993,
217,038,823,934,674,869,526,502,061,926,459,554,264,868,178,844,895,154,643,
892,644,722,190,166,554,323,249,728,931,152,486,620,550,047,968,960,607,337,
444,686,410,073,067,991,505,982,316,063,422,368,640,366,012,501,866,014,997,
042,909,123,942,672,016,643,795,303,145,478,584,199,535,783,258,676,924,921,
688,132,722,612,952,033,935,741,383,327,494,891,350,611,069,607,888,914,657,
363,301,746,948,799,478,762,926,478,898,126,985,110,910,423,935,290,664,361,
387,720,688,999,218,540,866,731,413,321,599,702,703,046,360,157,984,435,466,
981,484,415,626,493,194,675,054,843,787,852,064,057,372,841,527,824,643,892,
018,624,119,236,758,282,032,943,567,425,488,443,475,586,582,807,268,058,268,
781,550,056,259,373,408,115,788,249,526,093,254,269,118,408,651,200,592,224,
967,273,397,384,516,648,564,505,672,013,121,588,473,215,100,908,665,830,440,
691,922,879,660,610,669,295,457,311,798,998,804,971,542,241,517,820,468,812,
595,407,003,333,000,703,348,838,993,156,757,133,645,629,930,841,633,529,488,
169,664,395,138,592,194,246,525,343,761,447,397,925,536,748,991,975,452,724,
960,174,151,670,633,736,572,307,645,861,717,777,294,803,414,285,089,399,125,
492,896,068,960,611,019,139,492,801,701,431,143,374,913,184,780,573,648,365,
691,631,258,461,124,732,918,516,456,570,210,760,546,555,050,064,788,665,841,
468,618,286,453,646,048,269,116,350,863,776,158,061,195,453,663,996,210,533,
446,661,718,711,406,167,651,280,438,454,757,531,636,300,632,137,364,618,690,
416,424,328,946,635,233,095,704,547,106,489,803,056,429,008,147,511,978,168,
252,872,351,954,625,747,879,252,030,028,899,393,530,239,151,214,726,032,176,
201,517,313,852,934,785,901,671,769,704,764,669,449,393,658,681,522,650,117,
500,747,469,567,749,253,667,800,389,855,250,634,215,364,951,469,967,149,121,
805,473,830,455,005,389,670,389,636,596,438,190,089,474,724,318,416,372,703,
838,698,691,927,518,722,341,295,259,872,084,452,849,874,305,990,880,213,196,
567,679,579,333,717,159,550,644,289,537,250,965,931,973,975,936,543,041,063,
424,262,180,848,307,392,814,833,431,988,649,690,211,369,844,801,314,076,935,
116,655,626,998,106,861,216,191,180,961,580,630,093,543,625,625,649,645,120,
133,962,119,352,990,039,429,271,798,628,084,397,856,922,985,333,264,304,362,
555,294,822,773,909,187,872,803,642,281,393,384,493,798,122,021,714,098,822,
161,011,844,884,693,176,721,442,986,172,598,463,511,882,029,796,315,231,554,
959,610,995,476,202,162,609,149,292,931,711,654,003,940,781,377,941,719,054,
519,738,801,446,128,156,912,538,030,976,913,608,335,419,204,865,795,107,840,
451,595,687,578,423,371,220,260,804,964,677,019,663,984,976,150,275,827,034,
809,640,699,663,110,252,457,522,608,654,712,752,644,549,535,127,799,422,854,
411,541,860,618,392,456,676,052,560,018,422,002,365,524,275,504,771,327,446,
934,189,739,537,325,833,525,331,351,781,229,197,330,389,607,052,824,858,297,
939,865,925,484,555,786,064,865,618,990,431,200,311,844,781,321,967,428,008,
480,307,261,941,793,431,094,260,608,115,974,661,293,028,378,680,571,008,664,
028,179,789,564,616,693,552,072,391,510,245,162,594,006,226,495,740,026,829,
330,491,373,345,136,507,177,905,542,032,324,147,349,980,061,808,765,593,916,
158,686,250,127,313,777,476,555,610,842,484,751,905,401,960,643,100,598,491,
327,944,425,760,071,796,006,450,400,071,699,598,996,455,446,087,796,847,625,
418,761,722,794,667,058,849,327,099,265,261,977,502,404,942,249,123,232,308,
379,756,268,646,628,682,074,983,117,101,373,861,041,927,132,444,713,638,896,
922,231,233,788,723,579,427,921,226,369,703,825,289,347,860,734,860,623,757,
269,913,784,435,783,653,827,961,809,822,094,149,196,614,833,522,230,504,152,
151,935,518,779,311,556,983,991,018,774,638,330,125,184,683,057,520,201,134,
515,609,742,963,954,657,270,693,615,791,258,139,590,127,582,001,923,792,683,
398,965,665,892,961,165,325,384,669,087,258,332,827,125,080,503,080,118,250,
315,181,868,840,614,867,384,196,848,972,926,326,942,147,643,279,705,951,786,
885,093,747,406,046,150,274,940,828,502,517,014,922,945,937,275,711,170,075,
147,449,979,324,736,885,824,536,952,503,879,982,982,774,008,146,798,457,821,
897,892,745,689,358,888,898,883,564,309,945,124,852,761,775,849,640,383,205,
314,906,153,505,234,948,634,099,177,117,856,698,645,838,374,205,695,290,614,
315,817,806,769,786,907,877,127,040,578,932,256,361,016,219,030,725,891,261,
025,537,750,069,921,209,116,825,818,426,701,067,343,366,847,505,004,218,026,
340,824,913,259,171,232,258,956,362,282,012,995,660,777,769,885,291,493,233,
354,006,448,898,572,684,848,350,837,058,300,025,723,411,182,711,729,313,274,
810,260,059,016,171,464,126,532,982,168,965,679,304,748,084,914,127,140,906,
061,763,706,586,962,900,841,125,149,717,496,517,268,897,268,676,302,923,949,
252,304,899,788,511,226,543,653,284,016,665,709,094,146,400,468,786,866,730,
519,964,919,341,152,621,782,700,784,684,165,939,608,379,416,991,980,367,014,
676,938,306,211,832,472,177,655,361,023,809,214,188,347,032,888,554,603,755,
119,504,423,716,990,379,442,965,996,179,527,265,616,036,795,374,007,983,035,
535,108,607,977,338,528,253,570,442,434,629,280,700,466,660,634,679,825,602,
767,059,056,927,657,417,552,445,485,445,972,239,401,066,946,187,971,132,124,
217,749,371,399,562,597,013,435,409,233,503,755,263,461,573,326,060,560,755,
366,432,152,062,593,041,943,962,801,479,704,639,640,822,605,609,610,226,336,
288,444,257,268,624,698,593,945,583,603,152,307,683,941,135,441,922,911,082,
481,399,449,549,571,348,486,025,153,540,548,104,415,007,286,198,023,893,444,
625,209,220,284,102,755,913,992,945,900,888,026,744,353,665,369,544,475,144,
988,446,399,094,761,587,963,009,005,327,186,823,313,129,111,329,401,788,597,
677,639,886,054,548,694,339,398,811,789,208,800,532,801,296,175,409,195,046,
795,681,957,708,092,852,449,705,482,714,640,004,619,765,220,584,487,725,494,
205,707,808,333,298,560,226,364,922,636,370,415,505,929,163,839,630,949,563,
862,816,409,280,512,815,497,617,869,430,279,152,149,561,416,426,567,629,547,
094,766,930,960,966,653,949,439,035,756,955,569,729,606,908,569,289,568,624,
078,296,933,158,614,932,312,308,566,669,480,668,361,112,566,577,657,607,561,
580,099,137,881,321,977,194,227,607,264,528,489,839,879,326,491,550,694,088,
723,783,428,493,092,747,144,248,839,434,850,747,247,459,851,715,267,301,107,
076,857,975,897,323,347,330,143,022,878,931,045,976,981,758,284,308,839,562,
904,856,570,427,033,643,693,013,824,778,208,658,300,050,391,289,575,752,204,
580,538,076,443,831,374,494,096,742,450,871,698,961,527,063,704,265,274,341,
668,317,222,970,946,337,246,781,095,028,868,348,759,773,589,302,127,129,188,
734,097,981,709,293,198,171,381,580,894,859,697,001,898,512,939,567,171,833,
079,373,832,465,351,278,407,968,860,405,723,161,734,643,785,078,591,550,303,
902,918,119,296,046,901,442,612,523,755,899,202,206,362,647,148,587,692,299,
812,589,684,860,198,331,431,071,694,936,743,909,692,200,405,254,888,580,497,
304,082,078,700,712,671,892,233,095,554,058,618,185,660,219,974,708,091,595,
672,894,420,638,031,668,531,987,433,779,890,741,512,599,270,593,792,804,256,
106,350,629,684,760,571,840,115,711,313,529,591,018,059,090,547,850,294,199,
450,117,107,942,868,931,336,879,688,948,134,477,192,524,841,257,807,922,678,
606,644,819,440,948,516,040,370,054,114,646,343,961,609,728,349,619,372,786,
630,802,185,891,403,231,011,446,558,748,298,278,150,422,870,987,056,432,580,
610,496,869,889,553,921,808,084,806,983,741,781,530,431,974,413,739,011,676,
267,510,730,072,529,825,952,486,310,165,544,107,856,689,598,248,818,039,535,
921,344,869,503,326,212,384,663,625,509,288,375,277,587,592,945,964,844,247,
178,536,010,763,371,295,693,978,261,458,005,010,478,663,120,190,794,896,783,
084,573,270,365,009,664,152,527,225,830,618,854,886,155,945,600,424,412,552,
548,142,148,066,294,191,645,524,113,292,578,314,160,887,268,276,772,158,683,
029,136,156,674,664,116,174,245,673,066,296,121,087,325,117,185,003,334,214,
754,635,849,184,162,705,547,591,129,876,572,471,906,718,611,238,489,629,596,
702,312,213,831,538,970,624,653,553,919,518,695,215,439,770,056,380,481,285,
106,077,942,457,975,310,679,088,874,551,051,802,382,382,701,436,298,306,484,
931,850,227,332,256,887,149,269,641,241,080,319,904,745,374,673,590,074,285,
661,050,938,717,939,804,957,996,291,485,976,642,012,817,242,098,452,134,142,
218,327,853,166,436,417,324,764,947,473,833,837,813,112,891,217,930,548,499,
978,703,411,613,939,682,316,846,630,737,217,114,062,803,934,697,044,590,392,
732,533,247,001,049,426,768,655,638,599,298,091,397,250,652,502,943,862,266,
552,970,929,133,038,905,811,429,752,328,471,242,481,641,737,206,271,306,412,
035,417,750,921,521,176,651,545,056,160,891,411,383,307,933,448,266,679,565,
357,558,332,387,490,779,619,931,354,325,164,542,700,272,749,084,232,762,864,
908,075,144,809,367,715,958,837,059,469,815,294,226,762,053,047,789,375,038,
226,576,573,501,807,627,455,249,150,880,461,609,940,013,602,755,257,205,461,
820,826,154,599,725,204,869,157,027,919,819,932,516,540,937,634,046,620,956,
201,958,178,157,021,390,990,905,157,739,242,857,713,239,453,632,409,493,893,
050,137,327,677,866,244,692,777,110,736,701,391,238,496,430,102,749,552,198,
343,873,902,306,780,288,385,096,187,765,464,601,036,205,882,317,596,974,822,
574,535,034,668,400,741,494,184,957,652,469,719,785,441,764,674,117,565,565,
019,957,377,025,995,437,069,787,933,480,106,244,113,449,006,238,193,319,174,
439,505,021,180,415,384,184,591,650,834,295,823,534,816,337,659,872,739,776,
214,404,134,081,383,683,844,031,946,690,061,107,287,933,750,006,582,380,383,
919,193,373,986,651,554,811,971,022,104,185,166,868,802,912,159,767,186,949,
890,853,890,138,166,881,753,602,478,557,495,239,613,112,803,673,317,831,863,
608,649,103,762,883,722,327,253,948,703,433,123,477,179,105,910,706,488,424,
141,208,818,134,563,671,190,938,105,114,015,642,094,816,026,608,830,403,966,
723,203,626,977,920,925,953,060,399,530,359,407,616,220,698,283,475,912,509,
624,998,555,958,881,198,435,367,585,511,318,050,477,091,837,308,982,648,639,
436,562,667,484,460,446,918,509,489,027,822,560,361,075,416,029,512,046,246,
292,214,592,526,330,696,350,588,216,332,631,141,387,461,610,266,106,647,122,
457,649,348,174,648,867,599,340,145,041,667,371,889,629,330,882,443,857,411,
495,679,186,391,476,604,913,758,826,758,087,460,638,514,911,317,299,993,587,
412,620,827,310,587,196,094,267,030,519,459,299,363,628,222,069,958,011,538,
574,771,192,807,548,881,448,697,251,494,176,355,513,295,562,708,454,816,439,
641,623,229,892,540,258,975,525,258,585,116,456,019,995,920,139,025,162,477,
846,627,394,543,773,594,435,425,455,409,368,428,174,040,490,729,018,203,974,
370,087,932,533,546,538,700,389,606,575,422,300,658,632,553,686,073,672,593,
884,226,517,117,872,165,120,397,740,712,392,691,032,375,604,170,693,034,136,
719,381,067,254,200,920,643,380,302,752,301,228,142,581,284,168,229,146,746,
555,125,467,139,910,724,959,540,712,121,626,755,885,033,622,292,319,130,148,
082,634,107,849,757,892,823,210,553,609,096,678,650,642,448,704,710,776,067,
864,037,234,326,356,138,150,335,836,133,493,900,285,906,802,859,103,989,670,
106,616,810,683,674,441,466,927,579,014,887,594,048,735,373,025,533,617,177,
049,393,556,706,045,285,737,683,714,093,857,355,717,182,753,175,107,135,382,
254,866,953,100,495,926,168,476,689,607,957,235,072,628,567,530,020,680,689,
635,252,928,930,908,402,542,860,874,441,785,956,118,896,410,607,414,648,397,
329,891,087,471,152,591,355,764,398,697,932,751,532,395,454,237,655,335,349,
609,937,108,694,773,632,634,942,916,426,249,524,314,407,038,139,485,530,859,
568,926,395,764,528,179,767,235,164,562,485,694,695,808,627,771,509,495,244,
493,794,375,588,370,620,853,930,669,249,340,724,166,112,174,920,161,309,038,
997,225,578,613,659,778,419,435,175,493,106,351,774,595,903,937,480,869,568,
788,656,264,536,509,758,757,246,787,006,506,775,694,546,888,520,865,982,309,
003,151,049,899,032,666,551,901,119,389,596,692,575,226,923,694,066,366,649,
073,043,025,481,493,411,495,152,273,463,857,252,659,250,342,472,736,621,222,
349,957,985,951,130,988,650,361,878,182,339,374,989,002,429,221,025,971,319,
446,367,431,439,784,448,149,032,754,790,721,902,351,120,948,163,460,685,520,
616,304,329,816,298,997,795,435,895,050,730,582,071,780,521,710,880,157,923,
502,635,057,162,781,818,072,378,360,600,925,207,998,941,120,872,016,607,591,
195,665,906,052,049,191,753,413,991,662,985,901,541,651,548,012,050,542,749,
310,864,426,733,939,451,708,002,159,005,648,575,864,229,403,081,626,042,581,
273,021,674,487,044,724,375,877,828,428,467,795,650,451,548,259,074,587,785,
138,717,001,686,489,667,642,931,091,245,442,378,616,907,454,665,908,738,407,
486,663,388,608,010,833,697,852,337,495,677,474,843,821,920,802,590,634,270,
420,373,924,070,009,905,068,572,201,667,513,228,890,257,860,375,774,271,281,
335,125,377,985,899,838,840,084,331,244,802,820,449,823,425,560,273,864,011,
470,964,579,205,824,872,810,788,998,433,899,955,346,086,660,094,211,109,217,
729,318,261,107,022,308,334,660,051,931,214,776,065,531,257,742,988,718,551,
885,492,213,840,283,641,150,859,530,484,115,158,322,838,514,973,086,489,613,
214,836,555,436,943,796,081,963,273,262,322,930,509,084,665,079,247,717,484,
889,421,668,422,060,027,240,940,589,222,628,835,671,858,526,697,342,587,855,
823,514,111,870,920,457,482,656,504,357,740,401,427,917,027,865,571,504,013,
196,417,310,472,541,219,759,869,911,305,998,347,091,126,219,244,070,490,425,
528,232,197,529,499,828,011,383,806,138,978,820,784,319,280,439,035,023,225,
918,225,000,491,669,846,598,303,700,560,698,957,300,820,791,873,930,547,380,
910,995,195,387,490,573,610,711,309,731,518,947,294,291,231,554,754,688,644,
394,681,024,695,091,058,980,610,314,397,357,598,586,621,229,734,597,826,081,
592,481,240,196,423,287,713,935,856,532,022,119,171,081,852,384,999,179,809,
364,946,593,660,964,190,547,306,633,543,140,154,691,912,355,466,770,046,136,
370,382,580,438,881,474,626,572,484,722,415,446,542,153,239,820,293,493,741,
203,750,493,155,292,170,087,174,831,318,363,944,288,811,383,378,275,628,032,
059,122,982,825,954,984,340,897,821,600,953,695,788,807,575,471,303,178,806,
330,042,761,982,936,375,306,098,296,425,112,140,427,335,237,560,559,412,654,
327,430,630,466,161,401,318,079,124,129,146,172,746,608,547,948,751,979,836,
509,443,347,064,619,368,197,954,018,618,963,000,647,443,752,365,033,771,988,
083,533,198,862,914,304,654,219,999,138,194,002,569,651,484,549,002,772,582,
259,490,245,643,693,122,363,049,436,777,207,431,077,889,894,219,685,471,889,
345,916,284,881,528,898,147,167,156,302,383,456,790,874,628,486,639,679,498,
747,912,811,256,699,090,873,712,387,516,961,634,337,536,416,587,067,967,007,
962,211,322,467,363,089,759,117,897,816,662,370,425,110,777,361,327,195,377,
828,884,614,516,025,667,666,742,454,101,487,552,422,757,873,275,320,492,715,
044,476,601,527,843,287,763,130,469,198,357,801,277,926,130,368,224,037,933,
623,858,343,610,141,783,834,621,478,946,504,653,373,426,327,720,979,718,807,
550,478,099,155,908,762,485,487,110,742,303,022,928,458,042,996,904,419,141,
425,792,078,039,748,302,214,518,134,389,118,058,467,612,722,316,115,937,940,
001,470,036,976,950,220,303,059,813,690,638,564,184,125,059,734,728,491,044,
782,032,840,478,775,100,936,907,053,624,414,440,718,490,986,991,104,050,829,
645,103,699,338,791,823,705,186,819,543,731,094,448,403,906,789,755,664,809,
778,487,093,816,173,669,412,614,311,382,812,240,942,405,345,390,151,221,392,
507,172,516,645,213,876,852,183,063,310,434,717,362,602,289,478,140,316,863,
723,806,816,367,523,140,133,854,866,954,158,003,146,452,200,612,977,381,487,
943,900,625,193,837,338,700,726,395,020,240,869,356,179,461,117,299,627,219,
862,562,172,540,739,188,826,786,348,966,972,488,825,398,522,113,673,756,692,
858,742,511,113,162,341,541,698,480,555,594,224,141,714,776,306,844,328,798,
037,236,168,221,432,405,496,433,413,170,242,394,639,368,544,823,009,585,775,
027,782,397,789,999,671,482,851,531,526,236,517,339,226,392,236,075,567,295,
078,135,151,027,300,795,171,102,570,204,301,896,877,948,799,517,641,644,706,
014,854,616,939,375,516,372,041,435,738,531,656,927,627,503,207,026,119,516,
319,751,403,407,625,063,828,723,441,787,489,586,221,249,247,545,601,104,013,
343,566,857,470,255,187,855,617,231,223,575,816,747,101,658,143,005,709,418,
687,795,518,210,251,361,167,039,630,316,732,969,797,086,183,656,678,216,913,
790,595,611,573,754,178,568,326,161,588,282,898,001,912,295,592,703,860,539,
866,656,053,483,863,407,870,419,644,456,827,089,339,576,398,232,301,101,465,
711,610,071,343,452,853,431,491,365,510,597,325,623,894,121,330,116,236,965,
744,403,478,135,306,082,346,726,484,352,288,187,837,905,985,699,764,706,906,
856,213,795,669,303,714,509,207,639,368,729,160,696,474,948,672,429,703,848,
118,108,504,717,512,436,767,211,539,988,220,119,907,810,832,131,318,957,673,
321,022,581,401,991,382,973,462,929,092,435,318,319,779,231,124,039,494,412,
329,942,014,598,280,405,690,678,843,490,073,939,809,075,571,868,367,091,165,
204,962,697,578,660,692,819,013,646,496,008,480,785,531,097,516,355,352,257,
112,801,903,177,846,131,060,731,913,741,541,460,935,438,229,622,939,887,105,
798,499,084,399,967,238,247,417,399,451,341,784,561,270,397,726,575,418,229,
135,286,682,657,659,686,135,874,254,897,341,049,420,517,752,039,518,287,353,
102,851,892,621,728,405,708,659,365,901,719,628,946,002,868,268,900,402,353,
808,096,478,147,557,651,799,800,419,910,515,676,740,236,819,706,835,496,585,
262,956,796,600,890,206,867,675,109,327,678,711,044,983,277,711,700,509,532,
026,505,067,780,487,351,226,999,836,027,756,454,133,944,796,822,379,716,274,
040,235,116,593,359,833,080,437,063,857,778,081,372,119,764,546,227,728,927,
945,675,692,708,570,424,688,430,867,545,229,664,873,457,888,364,643,229,995,
743,067,141,773,311,341,428,074,925,144,249,563,833,902,148,184,803,375,185,
097,624,677,079,567,583,714,143,390,116,889,938,496,843,386,358,772,971,305,
135,459,472,388,281,742,673,873,236,813,571,437,490,587,924,212,269,029,727,
892,339,818,087,872,166,343,578,442,546,707,237,250,303,160,664,301,305,841,
685,014,868,160,141,587,883,568,197,333,769,405,979,360,502,505,040,373,250,
536,292,375,903,311,971,343,303,832,733,660,725,009,503,487,358,680,213,700,
571,337,977,218,584,033,173,248,657,562,135,385,334,739,932,775,512,116,715,
696,894,585,382,617,155,224,616,797,306,998,694,441,702,036,414,500,713,886,
530,729,835,980,833,858,075,085,733,976,435,512,564,858,691,261,725,484,684,
706,421,871,527,715,071,602,747,000,142,379,634,338,618,201,881,478,786,165,
906,569,790,565,555,332,139,659,915,075,915,438,380,995,662,688,632,086,246,
394,303,692,495,253,332,552,511,761,756,513,340,813,238,132,474,393,635,548,
386,287,417,335,574,942,610,638,708,887,008,072,903,033,671,092,029,613,291,
662,205,131,132,982,327,285,017,000,449,915,934,514,789,724,251,332,068,267,
429,768,193,861,680,867,820,017,706,218,405,384,598,535,443,942,864,854,327,
352,873,795,484,068,009,605,131,625,188,962,570,259,919,960,454,789,079,358,
671,649,003,794,082,248,390,342,622,650,678,063,028,418,311,839,865,849,147,
493,489,158,060,887,158,261,841,458,516,934,663,225,158,343,709,490,079,811,
848,084,839,760,999,587,513,196,869,959,120,175,755,155,944,278,949,908,487,
059,732,840,746,798,414,354,669,271,218,713,547,409,304,087,219,829,144,515,
659,425,314,995,890,470,749,221,083,670,192,051,092,187,746,243,096,804,960,
471,342,759,047,866,823,370,250,663,162,408,415,789,148,486,471,101,829,406,
074,849,841,379,935,259,088,058,823,168,995,428,625,192,754,172,587,891,893,
889,280,859,492,074,628,931,121,743,377,566,147,082,943,140,254,247,011,264,
254,367,558,480,361,205,105,155,873,136,256,359,167,604,749,443,759,047,243,
998,701,380,248,379,530,233,997,488,919,725,357,741,504,437,429,609,201,220,
903,180,205,184,706,786,230,768,512,011,091,891,669,840,627,290,590,281,348,
070,295,071,551,314,890,056,147,745,983,087,684,508,844,166,055,482,321,807,
517,805,447,078,200,873,197,369,978,647,169,711,078,077,628,972,001,327,561,
794,434,998,932,847,443,395,279,375,781,748,370,617,461,324,394,206,996,010,
224,205,757,758,686,460,822,015,144,037,408,633,543,793,655,987,017,780,729,
586,280,067,106,268,936,951,827,602,169,391,108,443,426,705,297,870,498,359,
121,709,251,743,241,313,769,385,732,489,269,496,989,425,594,440,287,171,049,
497,660,085,050,383,211,256,560,665,335,268,880,952,386,813,268,556,627,247,
306,148,689,286,755,307,526,611,692,583,453,058,142,165,068,171,974,220,881,
440,893,801,213,190,910,445,245,152,072,168,952,793,500,813,859,465,312,932,
545,728,943,370,094,065,636,639,714,436,753,092,169,615,970,779,823,796,869,
299,477,447,671,427,736,421,953,832,251,855,137,014,033,495,950,810,166,413,
085,111,121,182,269,944,923,351,383,355,188,704,886,733,205,359,854,960,427,
962,826,269,991,472,313,830,898,775,845,627,851,120,438,388,011,304,273,682,
997,694,839,092,276,543,696,213,563,401,994,763,772,562,462,066,772,660,574,
837,496,492,698,452,190,965,868,897,764,275,851,932,275,262,881,250,495,905,
761,846,399,587,194,150,507,586,868,017,213,951,104,621,522,679,554,366,615,
525,323,697,958,456,890,308,667,823,182,100,173,166,189,866,377,335,589,151,
008,492,091,675,033,648,817,802,584,933,373,524,360,929,482,049,083,456,358,
293,723,381,710,146,484,503,978,325,405,887,269,236,777,343,412,336,650,332,
150,044,873,503,839,603,878,433,929,904,766,530,495,877,867,548,731,488,399,
121,644,465,682,304,709,849,662,371,435,993,268,430,744,670,782,613,415,767,
393,378,483,892,072,288,585,132,186,253,878,089,399,025,442,340,353,957,224,
435,763,086,694,119,377,514,811,283,327,250,915,050,198,456,850,663,618,447,
291,146,389,989,348,244,364,151,584,592,214,851,431,646,521,335,786,822,615,
730,424,390,728,121,849,189,000,725,409,979,358,087,618,090,755,238,912,291,
174,950,509,658,076,198,776,733,055,372,947,366,327,836,975,478,067,196,391,
090,982,642,586,230,374,026,066,041,186,120,982,408,318,823,418,516,758,174,
019,940,235,702,907,752,484,783,323,206,494,246,576,938,395,513,448,992,729,
405,834,991,415,743,859,203,447,156,033,629,603,925,079,587,343,104,566,239,
998,161,851,693,464,438,978,821,935,452,310,134,819,647,224,748,544,297,940,
527,689,108,642,105,001,570,690,779,963,026,261,966,974,762,168,960,895,850,
604,215,087,795,245,593,843,634,673,982,048,801,232,272,885,460,626,144,776,
013,992,773,155,100,296,326,180,333,409,004,282,187,598,831,030,470,696,328,
371,725,309,437,339,775,886,916,660,051,294,770,995,293,618,301,420,997,490,
916,609,938,504,243,523,385,334,056,639,311,643,525,170,724,810,678,682,103,
549,877,478,042,804,043,874,507,167,465,644,926,069,559,320,016,579,500,832,
755,666,131,839,284,718,547,845,001,129,313,419,359,397,838,823,064,650,531,
260,095,396,358,617,759,866,908,734,822,855,527,099,776,724,973,028,206,517,
248,494,098,352,008,200,192,139,013,890,724,519,185,516,375,367,358,898,576,
889,923,618,306,475,685,712,649,994,852,617,723,905,920,127,382,004,490,087,
390,768,037,319,822,210,143,287,836,420,537,373,610,112,639,580,314,664,519,
559,704,856,586,982,775,192,394,428,040,582,042,597,769,989,583,425,596,862,
922,568,465,061,320,223,340,512,161,924,042,090,875,614,806,743,386,861,733,
274,251,989,817,209,785,994,370,120,176,456,773,385,155,702,398,432,150,012,
680,119,033,104,423,941,075,468,346,075,456,437,976,953,128,516,521,437,690,
066,450,764,002,942,987,294,114,746,173,795,489,671,665,370,084,080,081,912,
870,159,633,569,563,401,990,674,757,072,257,535,076,795,955,988,953,577,607,
235,369,681,632,525,485,869,214,053,154,428,354,574,910,638,602,516,400,721,
093,731,814,934,445,417,359,286,423,805,510,993,806,166,351,022,104,537,846,
317,413,596,684,059,897,068,222,104,315,102,980,256,259,209,949,702,093,933,
574,984,971,537,112,013,079,878,912,527,491,308,450,450,199,190,836,818,061,
631,533,421,468,799,351,534,741,579,327,696,241,610,501,036,269,105,865,306,
033,735,263,444,177,148,716,182,030,107,277,959,416,197,357,454,789,210,362,
598,578,322,242,386,397,649,413,513,746,429,100,910,041,852,589,583,096,674,
679,222,246,563,561,496,476,802,245,803,127,458,719,985,431,847,788,470,450,
970,346,624,984,426,233,146,412,841,374,212,934,350,388,415,341,878,856,954,
995,024,712,371,600,941,361,707,886,365,810,583,367,470,576,158,644,203,516,
057,031,506,582,908,520,314,140,400,315,576,336,905,248,501,712,446,879,931,
935,598,280,602,700,589,637,870,898,659,010,760,078,843,959,332,131,873,033,
755,263,991,901,830,680,751,229,867,028,545,513,087,325,736,964,802,929,383,
284,437,274,637,858,449,599,052,318,964,307,616,942,557,352,742,616,942,494,
898,741,827,716,516,363,178,003,466,932,877,237,962,370,367,863,207,750,746,
429,858,036,196,074,336,504,892,287,541,789,855,621,455,325,583,376,873,700,
572,094,117,023,550,507,235,461,464,307,639,304,646,227,098,569,821,374,295,
910,087,044,592,550,551,637,764,451,370,510,643,726,271,875,491,242,759,019,
413,162,992,911,929,331,221,555,759,605,493,460,889,453,523,069,000,670,168,
519,479,225,118,110,544,337,106,704,578,061,296,657,189,630,394,568,216,861,
306,929,432,223,230,181,750,442,389,792,111,102,460,364,120,841,874,849,243,
246,755,018,621,006,460,833,334,701,455,592,981,764,691,030,465,950,608,029,
438,922,296,592,154,285,521,773,844,511,172,565,611,848,465,560,024,525,344,
925,699,832,657,867,198,333,759,404,217,819,085,509,408,386,153,471,577,420,
754,706,309,349,242,422,117,978,687,468,756,071,663,795,211,684,996,056,202,
971,119,557,447,018,873,778,889,849,598,412,229,953,913,141,920,729,457,105,
809,830,807,370,982,736,677,280,980,627,576,244,198,342,460,884,551,357,467,
214,288,166,562,285,484,392,595,322,962,547,810,264,748,621,162,742,065,055,
540,231,837,934,103,224,308,625,532,516,733,467,820,636,176,042,932,870,477,
392,674,377,842,069,401,672,247,085,499,004,490,505,543,585,797,528,099,366,
753,219,455,873,363,092,730,295,666,386,072,082,685,728,110,759,232,617,533,
156,946,310,245,073,241,452,791,752,212,303,965,972,474,296,280,353,092,587,
626,739,948,127,291,591,206,182,298,641,430,353,601,263,970,037,470,479,488,
162,374,180,832,831,533,651,809,536,769,930,671,692,137,240,135,303,759,731,
664,601,993,075,459,224,824,502,168,648,132,850,751,763,114,288,299,074,760,
026,251,084,488,207,294,337,756,237,348,622,460,602,660,541,179,929,161,168,
913,792,108,776,186,291,039,432,601,695,501,896,832,752,311,696,833,399,687,
630,128,142,907,929,844,648,468,856,907,981,263,622,302,866,268,853,316,002,
646,954,425,890,551,650,547,182,535,939,815,350,466,935,938,893,756,117,033,
401,340,120,856,797,911,551,542,006,036,542,778,610,907,783,051,431,929,545,
707,566,693,204,065,162,234,610,536,903,607,573,077,281,216,115,500,790,666,
895,095,071,796,689,212,569,445,734,423,697,074,295,651,862,041,241,238,038,
105,644,927,384,464,696,805,255,364,488,702,703,699,630,722,615,952,946,950,
075,165,400,666,891,877,376,727,273,746,146,876,488,546,073,230,981,436,777,
212,491,821,835,697,648,285,380,313,682,355,100,792,430,809,610,764,774,144,
150,168,094,505,551,079,712,602,425,455,962,627,890,223,434,248,264,959,015,
907,058,781,191,961,976,665,593,148,905,613,841,644,427,415,231,422,884,137,
795,090,900,529,624,928,599,097,656,967,075,627,806,184,754,888,228,574,614,
557,145,255,690,772,946,761,927,728,194,275,486,287,038,875,341,808,744,058,
654,710,558,108,991,454,128,984,893,829,949,646,387,915,178,707,785,877,444,
218,658,965,460,919,263,181,915,669,826,195,869,658,030,212,257,889,816,904,
058,567,380,781,561,953,308,623,180,481,845,131,034,550,899,799,202,446,364,
029,236,989,606,795,718,447,642,457,833,806,492,024,838,976,941,762,964,268,
840,007,610,696,548,044,487,061,846,593,379,456,920,100,732,322,665,706,468,
159,099,039,261,747,462,688,886,816,514,595,033,990,375,073,941,574,754,579,
548,952,760,770,915,791,063,480,564,952,565,508,647,761,489,657,514,853,060,
611,403,858,337,393,897,434,040,708,044,007,508,896,452,130,039,161,136,226,
591,764,054,835,895,722,626,162,552,174,081,437,332,447,388,954,539,305,965,
904,985,521,043,095,721,147,445,341,993,103,933,607,528,299,123,856,935,591,
811,648,968,934,574,813,205,794,672,885,980,308,590,163,351,259,610,378,678,
927,775,319,908,146,513,743,682,072,066,312,025,156,086,933,659,184,700,583,
447,342,517,902,511,488,467,919,659,186,372,437,824,587,978,232,580,129,197,
296,240,677,796,984,837,508,867,346,181,364,547,176,338,351,669,738,398,342,
958,736,556,530,389,185,562,736,992,839,820,316,562,298,631,093,424,899,071,
508,391,510,784,136,812,048,608,925,428,663,851,882,149,297,171,434,789,485,
531,629,591,735,384,241,204,909,619,203,341,903,911,690,454,043,220,006,036,
360,488,269,960,106,097,477,720,770,795,107,708,990,847,631,008,900,798,985,
965,254,318,642,390,474,653,640,552,168,877,355,596,141,570,718,753,448,459,
646,365,795,921,104,069,687,535,921,684,252,681,034,834,991,069,078,081,323,
308,074,383,010,417,720,543,029,595,150,646,730,711,838,390,608,137,828,893,
027,187,077,757,874,494,150,406,299,626,911,824,365,380,846,926,025,673,585,
791,576,301,658,028,443,547,909,643,476,188,101,437,070,891,441,077,365,369,
684,140,743,726,436,824,151,187,232,278,956,245,002,743,931,863,509,829,017,
262,713,735,272,371,766,702,418,188,448,137,448,576,905,770,025,847,285,416,
783,002,232,481,970,845,775,980,104,472,514,438,852,624,391,409,078,504,594,
983,863,622,744,753,279,695,444,905,474,344,446,743,908,387,610,118,291,542,
439,563,250,261,794,446,036,347,294,726,639,763,417,667,792,533,289,228,972,
450,052,798,571,662,560,903,329,718,956,875,688,719,841,346,098,846,439,512,
123,062,368,586,222,613,928,802,667,455,277,653,789,425,190,002,887,484,426,
064,957,720,353,341,413,413,846,840,842,182,798,051,835,861,198,801,760,224,
129,305,772,686,378,159,671,960,336,398,105,712,914,394,038,838,499,932,408,
817,487,424,751,506,296,196,139,491,854,042,818,507,538,372,868,976,014,953,
857,205,829,074,639,976,990,438,384,984,401,994,376,225,258,619,190,508,723,
052,988,261,242,528,268,892,789,635,100,779,528,033,230,816,036,638,134,175,
395,921,499,407,586,155,468,198,625,841,466,077,947,211,472,224,381,000,034,
490,358,511,522,753,399,441,451,686,725,895,668,035,141,568,753,205,713,996,
861,488,203,043,535,600,720,599,508,978,447,191,915,489,148,082,226,292,065,
059,645,696,469,687,992,455,332,321,668,862,349,291,460,804,922,951,011,395,
849,721,180,140,210,868,084,599,114,457,937,696,986,416,969,149,553,337,599,
263,069,821,048,729,983,179,857,057,726,625,415,596,186,599,664,347,223,469,
493,848,011,322,369,584,830,502,061,990,047,265,997,110,760,614,158,033,089,
290,661,045,836,173,935,470,132,482,256,391,437,748,394,507,386,761,629,508,
345,920,004,750,504,532,969,659,026,287,257,851,532,741,427,421,640,904,628,
175,777,163,787,802,508,382,294,738,859,066,219,009,764,868,667,547,347,040,
854,935,219,414,741,825,732,652,387,574,857,951,776,042,384,795,956,220,428,
774,196,405,160,777,680,840,831,556,138,670,145,541,590,428,155,182,257,892,
660,634,505,260,650,400,996,955,398,077,631,845,835,171,271,821,006,892,456,
281,719,805,012,783,934,163,412,996,851,221,448,789,132,902,180,531,889,526,
860,541,928,143,396,791,137,990,929,909,391,537,710,858,299,241,619,281,415,
489,729,407,278,493,414,861,969,422,933,156,335,599,856,577,458,243,797,934,
278,114,712,335,566,258,918,239,583,150,825,471,391,249,278,767,248,967,636,
130,301,336,817,857,453,112,791,947,932,565,621,280,691,724,206,610,978,161,
169,196,920,849,269,285,354,357,430,503,538,334,940,351,727,196,145,632,161,
665,643,083,067,441,937,368,841,277,778,626,807,947,533,032,071,104,158,455,
942,629,173,640,581,571,771,433,946,057,234,695,308,130,894,556,284,543,108,
613,155,875,963,797,842,448,827,357,622,650,046,446,081,012,400,307,469,406,
373,457,992,118,557,325,310,192,535,950,768,832,002,642,602,272,576,272,899,
319,061,909,105,241,729,262,691,533,858,338,821,540,177,371,550,034,540,826,
085,355,300,233,379,408,553,383,944,431,181,406,873,701,349,443,057,196,837,
507,236,221,600,043,050,191,062,575,465,685,352,706,092,446,914,224,034,842,
375,669,376,223,372,400,939,993,896,077,402,390,061,276,084,884,158,134,180,
830,121,395,976,589,746,108,725,701,640,145,557,621,403,271,503,681,861,974,
745,013,795,041,255,643,660,734,653,688,031,663,037,338,676,337,382,447,837,
540,387,609,257,752,145,177,912,836,542,761,526,556,715,160,526,198,738,284,
302,982,651,652,170,492,567,696,203,498,794,889,711,221,804,550,149,706,075,
125,787,307,042,333,024,895,232,997,860,550,481,707,881,782,232,227,885,811,
780,242,700,773,803,919,483,204,458,256,491,369,329,877,271,441,386,965,591,
833,916,546,033,778,585,051,298,903,074,903,030,439,129,091,176,753,690,723,
215,249,291,244,745,097,644,048,881,419,159,009,783,989,439,438,686,372,579,
625,987,442,269,170,275,927,186,376,110,783,134,250,316,936,216,095,043,097,
731,171,725,039,712,332,747,560,860,168,890,432,592,002,085,520,776,007,344,
256,905,909,608,188,371,783,854,272,219,412,308,454,545,127,959,841,541,656,
807,587,740,517,863,248,778,304,302,146,411,086,570,738,686,098,760,232,088,
282,990,482,273,976,350,092,888,304,375,268,289,328,712,500,924,828,371,587,
884,085,443,050,553,504,449,447,443,597,178,331,544,950,404,942,990,184,270,
458,962,812,361,302,391,062,283,706,442,108,188,194,651,855,139,259,530,029,
686,182,962,745,480,198,910,463,035,870,092,065,888,722,029,527,966,525,192,
068,109,984,843,516,820,842,854,623,931,088,706,958,257,096,517,884,971,812,
712,305,963,417,085,052,964,879,195,126,664,331,031,198,055,581,757,562,487,
084,039,136,351,780,791,433,788,045,147,576,805,705,369,075,465,988,870,827,
215,719,299,353,340,538,711,613,116,210,206,488,109,904,054,266,366,544,656,
332,016,372,094,822,823,704,495,891,742,706,947,013,609,698,711,286,994,832,
047,857,753,413,194,983,092,133,840,569,586,714,075,254,925,914,076,870,645,
658,927,261,667,262,858,723,487,188,191,564,529,030,080,408,364,201,365,007,
191,136,540,548,090,885,942,988,305,966,849,256,731,402,440,932,428,640,291,
008,501,641,634,883,367,593,640,063,859,609,463,351,059,353,307,763,766,647,
562,973,070,174,139,753,132,087,716,486,260,935,406,866,607,329,588,264,269,
829,271,298,793,312,123,116,907,138,499,519,743,202,132,630,171,151,893,622,
346,402,940,071,129,077,130,239,097,921,554,924,353,016,872,734,403,762,603,
479,577,671,058,775,749,841,906,892,492,298,048,571,314,460,179,695,890,852,
686,477,450,580,267,485,368,649,457,809,427,371,140,773,702,454,558,861,466,
004,353,014,939,003,689,114,593,894,829,142,098,158,080,329,309,427,490,502,
074,082,434,822,168,191,673,375,610,087,386,118,217,497,759,216,034,256,774,
522,473,424,289,292,214,724,529,129,722,525,032,553,782,039,792,906,401,768,
198,905,846,165,161,158,500,641,502,789,423,122,102,496,745,530,398,418,213,
630,787,051,502,100,836,446,851,493,492,613,986,641,892,977,787,836,201,931,
485,344,496,218,924,457,699,756,292,258,938,927,581,695,300,739,568,353,324,
512,196,993,046,700,842,725,689,848,143,283,968,418,308,020,178,178,897,993,
643,337,517,402,821,320,298,477,198,179,646,122,270,398,102,238,391,145,738,
757,926,668,522,354,472,987,649,153,878,708,507,376,013,830,585,926,090,974,
758,791,082,455,941,016,630,817,819,169,566,520,286,313,032,363,668,950,056,
617,678,163,430,423,199,694,347,456,804,435,078,968,629,672,172,747,395,393,
983,744,250,486,016,759,359,137,697,460,032,866,125,858,573,452,206,883,194,
576,076,381,844,418,207,965,122,823,618,425,054,890,487,204,804,750,076,816,
749,389,086,497,623,353,687,126,443,585,607,876,954,473,911,699,756,187,881,
916,475,932,680,493,194,217,022,008,103,823,169,077,276,555,205,837,769,996,
769,990,505,043,086,271,060,029,267,935,451,215,069,059,289,282,128,993,981,
114,191,611,682,865,045,718,671,242,911,313,952,318,413,216,987,433,487,737,
920,672,117,307,790,947,183,409,868,488,040,458,276,604,096,839,666,597,305,
319,251,030,323,721,050,111,786,848,395,983,864,013,977,774,498,843,768,461,
924,415,212,214,057,565,915,203,726,100,484,222,004,591,158,154,462,398,548,
239,033,710,312,487,027,743,455,198,935,114,928,035,233,385,289,609,636,782,
432,098,670,782,232,842,844,909,729,058,964,790,551,479,792,814,203,291,266,
060,359,960,299,086,106,500,098,196,521,968,308,338,081,434,821,659,334,683,
448,377,078,993,676,641,618,704,704,933,067,307,363,769,877,525,557,218,090,
160,498,255,533,834,492,161,484,938,714,299,624,461,755,472,317,889,796,792,
850,824,542,317,150,496,563,288,375,015,079,145,906,406,177,214,941,489,362,
474,299,936,700,323,643,499,234,981,479,818,126,339,528,440,254,163,967,374,
281,335,533,650,136,737,611,073,292,110,142,075,765,656,228,627,245,086,837,
110,508,119,909,874,984,307,173,492,538,053,323,718,108,879,313,665,253,198,
976,551,887,363,605,775,752,604,442,396,448,329,629,492,861,449,317,794,354,
020,681,319,736,003,948,847,258,714,104,022,104,375,496,469,463,696,530,148,
330,180,980,604,800,620,997,244,209,869,670,897,697,309,971,311,608,195,410,
040,440,855,356,679,347,344,700,824,877,972,956,112,596,451,771,686,214,188,
223,094,792,492,596,133,776,595,716,613,649,394,032,215,694,101,608,697,079,
807,548,914,249,009,724,413,624,171,959,405,842,896,574,810,012,920,267,291,
181,530,624,972,964,470,228,904,025,904,450,638,507,403,051,022,520,587,970,
075,785,647,149,354,471,051,717,375,484,561,949,809,647,786,063,087,684,668,
008,172,935,341,267,489,189,961,621,685,908,236,713,879,742,546,688,828,808,
937,668,504,566,802,901,905,681,467,819,766,164,827,870,105,046,182,806,971,
468,951,390,891,652,079,931,389,109,032,270,079,511,329,864,766,624,737,382,
888,761,865,475,137,201,011,657,558,858,052,964,092,044,467,969,431,274,748,
910,314,459,314,955,707,861,643,465,182,171,159,195,264,899,959,687,619,401,
821,711,426,214,929,329,530,878,986,971,576,367,184,124,606,295,072,620,097,
171,905,685,872,821,564,541,712,332,102,976,157,578,394,613,794,563,790,540,
433,522,886,578,536,784,325,068,841,317,214,987,926,417,139,617,902,646,167,
598,068,948,408,374,965,272,174,984,950,227,516,370,703,101,969,449,510,572,
484,975,079,477,013,012,204,093,121,310,869,346,802,724,980,035,611,754,561,
414,516,926,622,463,361,561,199,173,875,126,830,977,913,252,521,499,286,902,
612,194,926,816,920,805,968,054,646,103,554,587,133,971,797,790,413,829,297,
483,196,499,202,767,746,839,976,367,332,451,212,296,369,353,256,890,670,925,
351,489,528,431,382,647,365,146,086,707,490,967,029,525,905,741,438,891,402,
312,966,067,562,657,323,085,601,665,465,993,253,756,700,936,853,788,818,907,
159,092,285,467,903,712,570,708,659,052,218,819,931,217,121,652,604,674,179,
927,717,842,936,105,896,449,969,604,340,757,589,486,864,608,033,635,314,241,
852,661,246,241,852,346,430,777,493,607,474,989,770,645,049,993,576,175,289,
548,300,480,386,221,969,958,370,276,915,981,902,405,852,831,505,960,750,397,
060,982,981,445,900,363,412,910,503,697,096,413,525,462,458,587,395,841,370,
900,842,361,593,322,348,858,155,917,741,398,694,192,298,586,062,781,791,360,
241,832,220,149,803,824,070,914,958,627,927,739,307,487,646,200,341,081,041,
398,662,692,774,489,988,677,922,299,288,082,489,702,699,548,176,124,934,685,
200,176,319,613,506,255,576,199,719,755,379,551,254,383,596,435,402,964,780,
554,834,617,636,214,465,521,331,182,900,059,511,679,127,328,312,280,535,885,
858,177,693,735,520,404,703,857,508,705,062,131,832,917,275,291,435,798,584,
610,869,112,124,160,741,245,681,204,792,300,273,946,674,666,300,084,786,530,
321,683,394,222,373,855,656,577,624,479,208,825,735,613,552,160,732,479,144,
114,511,634,517,614,315,621,548,607,524,403,029,774,055,244,439,110,605,610,
154,604,380,225,829,045,433,102,965,845,513,179,564,828,916,596,766,763,720,
009,407,086,972,705,328,701,238,614,973,721,900,248,006,107,657,020,700,342,
165,990,284,668,040,300,157,536,894,732,675,038,652,631,546,587,383,898,514,
727,181,789,518,092,175,712,994,244,267,513,028,572,984,424,532,967,337,555,
868,517,422,967,820,326,345,346,377,252,521,719,440,488,416,441,325,594,723,
284,801,748,770,755,466,640,093,170,432,747,133,513,503,485,204,768,375,844,
385,464,794,963,733,559,824,197,057,094,614,182,094,344,368,337,207,160,527,
726,370,230,060,323,036,471,104,339,307,469,820,892,555,967,463,280,131,218,
964,636,065,947,796,452,754,587,604,026,903,596,601,811,787,271,760,609,052,
781,814,637,317,533,218,699,585,220,007,845,598,469,636,435,439,224,578,767,
544,012,422,014,923,515,851,184,976,687,535,440,220,733,805,652,859,153,631,
088,237,400,385,820,967,271,863,605,871,821,485,839,869,174,131,200,154,717,
806,468,362,176,619,621,649,426,218,329,648,716,852,537,620,292,934,384,256,
672,942,692,439,173,197,512,844,593,276,938,581,448,185,613,810,031,686,290,
407,071,000,150,365,944,332,578,554,263,639,530,526,676,716,028,151,584,960,
212,458,268,367,531,755,323,705,607,203,320,708,296,784,417,065,388,152,498,
558,477,994,691,328,596,322,970,857,845,077,826,038,525,820,901,151,738,443,
576,202,239,448,176,026,338,635,089,358,490,341,492,869,777,706,780,941,344,
604,153,772,141,261,530,044,492,193,183,177,328,382,272,613,558,545,762,562,
862,507,031,565,270,616,251,489,687,542,471,675,571,160,423,463,225,321,271,
024,950,363,631,817,886,108,415,940,723,117,717,718,515,018,774,024,456,737,
294,315,531,586,591,782,642,049,134,784,203,237,833,100,595,913,421,412,059,
612,473,795,526,304,891,254,446,010,660,864,706,757,825,160,011,836,594,509,
909,293,125,271,785,418,156,494,254,336,928,927,616,039,547,809,560,813,225,
431,152,495,333,291,320,060,642,936,527,432,361,083,217,614,990,742,640,942,
743,533,566,699,993,737,214,997,297,947,607,586,963,493,484,522,110,612,017,
421,668,763,030,150,211,728,892,350,967,452,205,433,643,931,544,135,872,434,
400,558,162,491,650,747,805,726,726,917,760,033,270,705,811,762,510,146,271,
764,956,083,486,148,903,475,075,794,087,506,756,410,017,275,357,416,369,414,
305,151,722,510,883,814,108,225,327,426,860,751,268,986,979,424,927,668,619,
548,500,628,772,128,252,826,674,833,442,872,403,991,446,865,695,052,266,028,
978,307,677,970,595,249,894,068,622,139,141,794,857,107,671,841,491,849,437,
773,385,388,865,664,966,372,302,002,182,073,734,850,812,547,950,696,372,108,
671,937,256,161,387,732,254,975,235,895,761,381,688,026,960,915,533,203,118,
364,757,441,348,888,029,774,579,741,548,102,287,084,551,722,375,454,308,566,
870,047,285,693,204,610,041,813,567,285,001,414,700,446,279,252,628,798,440,
958,726,987,643,220,093,064,465,545,475,375,260,835,541,029,850,217,114,804,
817,277,794,378,980,613,357,515,374,521,323,361,941,991,594,818,592,957,361,
101,372,199,607,971,126,440,634,589,043,377,108,918,254,246,203,961,639,624,
359,180,447,368,694,192,660,278,586,532,535,332,237,612,879,207,330,061,384,
386,785,762,766,290,119,319,399,321,239,916,270,266,868,634,852,211,640,905,
365,276,990,787,570,641,063,575,895,826,775,776,230,990,922,900,750,395,661,
781,012,752,266,584,940,538,230,597,392,545,802,400,325,159,393,809,289,435,
449,072,488,619,316,750,015,912,583,849,926,733,502,228,814,479,880,359,188,
995,773,483,610,044,151,528,432,071,474,589,080,666,749,275,242,080,867,395,
892,294,393,482,298,089,830,972,604,104,947,933,457,572,238,981,749,182,025,
537,839,650,891,221,346,808,526,880,503,906,825,802,578,144,772,961,661,666,
266,431,299,724,055,785,714,570,490,195,537,409,647,632,478,976,921,803,124,
034,323,680,180,596,826,235,810,184,855,252,344,498,581,536,917,787,199,581,
382,602,773,691,973,270,148,948,563,497,315,782,764,560,181,481,722,847,304,
337,667,201,008,264,435,516,063,778,283,192,882,042,695,568,257,867,537,672,
718,948,358,902,920,422,408,849,378,032,924,806,979,405,777,218,905,774,254,
194,130,852,161,817,761,913,610,048,850,034,378,220,356,279,675,969,406,935,
776,501,673,036,517,940,890,811,606,672,665,668,573,491,641,989,396,709,011,
084,053,133,532,915,638,664,664,906,202,006,283,518,984,224,007,698,682,016,
001,518,598,996,213,853,825,471,181,431,370,316,502,822,690,800,768,409,227,
993,844,370,641,403,795,550,142,507,252,843,366,555,235,079,892,272,135,160,
522,115,995,670,873,534,869,071,389,664,181,219,501,211,339,311,278,349,042,
268,524,337,414,968,382,170,442,360,977,978,784,196,726,681,790,413,593,127,
195,801,334,789,751,836,583,934,735,428,636,830,566,807,333,685,832,344,927,
484,593,840,934,266,276,287,128,712,239,007,202,205,691,943,836,237,226,616,
835,883,622,954,733,857,032,208,648,918,462,352,027,766,921,828,591,425,363,
873,003,270,610,036,964,727,537,573,073,174,136,759,329,340,857,434,479,032,
199,681,429,333,642,710,089,557,451,004,367,506,146,112,924,828,541,847,102,
664,692,785,353,126,253,226,142,663,088,972,468,136,444,379,860,474,827,985,
498,245,762,114,576,678,158,423,197,578,867,273,952,231,600,142,770,757,776,
970,032,064,927,483,079,810,600,053,933,001,024,863,558,453,393,297,301,363,
698,570,126,876,261,258,805,890,546,279,443,307,974,081,567,763,853,853,950,
900,213,466,070,284,355,629,620,112,174,031,590,096,681,969,786,872,608,506,
399,465,401,526,573,290,276,510,705,557,810,588,891,033,440,091,053,606,960,
431,057,955,961,863,929,405,177,460,530,690,737,824,105,829,146,678,213,486,
372,372,807,752,133,854,803,681,221,243,653,535,700,677,018,068,672,153,308,
960,646,954,505,918,121,478,704,626,986,907,692,981,064,188,851,357,374,149,
672,568,258,418,867,449,774,799,112,041,909,288,131,463,388,393,744,514,789,
003,448,704,477,622,334,588,401,773,743,699,296,102,972,023,507,773,790,445,
102,683,827,876,753,981,157,173,093,856,966,235,119,841,264,612,049,991,410,
631,420,198,803,273,057,972,977,261,405,055,897,712,234,010,611,156,230,543,
583,600,182,827,350,051,565,665,717,660,830,006,551,579,911,361,122,500,098,
251,196,939,296,563,231,917,594,178,910,751,078,669,817,515,426,728,116,629,
619,761,535,330,526,421,105,243,921,068,615,281,537,571,218,817,153,978,452,
545,531,467,341,616,091,407,377,934,280,125,643,283,062,599,885,418,207,797,
500,821,093,295,305,609,965,917,160,921,627,830,822,921,224,708,319,183,194,
625,233,641,456,323,625,216,260,941,508,398,527,038,936,013,564,870,940,656,
220,457,744,884,035,930,918,903,445,802,505,562,279,830,736,855,237,967,430,
209,992,675,653,559,454,829,592,680,037,678,065,514,271,177,542,473,144,586,
516,074,196,766,235,114,896,409,063,200,983,479,136,034,717,199,716,869,079,
870,258,596,420,485,055,113,342,233,001,307,860,438,194,688,794,904,573,525,
139,515,842,863,267,751,661,110,528,452,503,591,006,787,462,684,586,898,779,
075,277,913,241,984,005,408,154,508,278,498,682,601,408,604,265,090,174,621,
856,571,487,551,786,296,396,526,631,013,548,862,031,545,363,084,968,675,612,
735,475,125,522,226,891,717,800,976,423,016,600,312,446,314,507,845,253,510,
237,937,877,728,013,835,536,013,080,075,792,969,465,725,837,366,130,880,569,
796,923,910,411,732,360,288,891,972,493,760,913,324,088,748,713,103,949,284,
144,600,012,204,152,065,206,081,838,223,299,918,055,609,869,808,693,383,171,
431,924,708,835,812,503,124,934,579,285,338,908,274,030,830,551,277,290,853,
820,283,244,474,292,786,405,067,501,416,772,006,955,853,011,344,877,195,445,
219,646,372,430,338,990,275,252,178,297,057,426,944,154,463,838,038,642,312,
953,490,249,954,032,754,671,499,142,710,503,016,746,441,645,244,406,415,188,
341,823,979,998,174,726,341,603,486,383,334,465,068,769,734,796,677,977,767,
824,913,938,223,491,664,079,324,137,623,471,704,920,190,508,434,464,164,469,
749,992,266,675,245,765,480,319,480,307,620,654,242,076,168,484,741,722,672,
526,001,546,068,734,573,798,324,059,287,462,085,116,064,787,186,693,919,801,
094,655,061,550,296,071,686,615,197,099,636,189,612,384,591,491,426,555,707,
541,076,475,630,441,922,815,779,578,233,383,935,388,478,283,765,768,012,710,
659,056,123,500,944,513,527,438,470,763,875,744,776,771,232,680,452,325,155,
131,667,647,107,222,013,083,808,883,915,679,723,117,761,674,379,720,032,918,
871,632,738,987,168,942,910,251,425,529,129,464,037,792,202,273,849,758,190,
168,013,250,518,240,481,157,118,661,826,172,269,902,817,629,971,133,752,570,
420,157,523,284,798,663,913,906,629,349,795,752,524,082,072,861,880,635,679,
743,423,953,618,640,646,530,367,206,455,310,735,941,646,694,779,493,840,013,
757,527,053,553,437,732,020,861,290,425,534,730,685,962,935,033,106,265,252,
842,468,477,522,728,344,127,793,898,016,257,517,833,353,643,467,110,251,731,
905,012,734,116,139,420,534,896,730,920,567,179,767,484,795,282,457,148,987,
905,304,219,106,871,854,886,004,203,538,470,597,203,385,652,911,231,311,237,
856,930,843,732,171,177,868,286,256,785,861,975,562,677,840,425,454,376,550,
294,326,842,162,509,673,151,020,429,731,495,015,033,378,202,180,716,944,518,
794,629,689,465,481,980,241,083,447,622,571,721,010,614,679,193,944,382,777,
368,645,747,700,549,340,245,158,246,704,463,970,351,553,517,830,560,742,196,
730,672,970,024,270,125,328,370,407,307,047,218,905,881,465,241,001,848,051,
596,555,701,174,890,365,864,084,640,623,800,386,488,944,660,473,327,816,546,
814,895,553,543,825,103,970,947,957,652,586,891,198,459,571,439,610,928,760,
799,822,024,025,034,822,628,149,607,697,039,325,502,099,163,610,794,467,492,
223,261,452,208,121,790,476,186,536,855,147,506,207,998,493,958,642,933,476,
837,971,240,657,035,370,103,092,759,671,199,996,608,916,367,102,858,834,061,
786,705,374,387,251,236,913,634,511,192,643,257,239,731,724,588,144,435,046,
283,466,144,274,845,190,086,636,527,107,874,070,854,522,877,149,317,328,150,
682,619,994,577,550,456,217,247,863,427,590,808,179,087,511,834,619,842,115,
049,253,639,825,781,357,515,845,238,001,667,063,900,031,421,392,781,312,110,
103,357,289,290,831,035,913,403,025,599,646,933,038,833,627,662,133,256,198,
359,677,553,591,814,617,183,131,312,536,444,490,002,933,233,341,368,471,787,
024,663,086,189,870,608,086,430,682,284,366,904,604,998,260,726,691,699,701,
728,427,353,171,287,136,343,598,293,850,955,199,138,150,822,827,386,166,098,
159,453,299,351,590,631,942,945,181,540,172,929,814,589,976,720,792,879,594,
133,761,822,217,473,453,324,244,942,752,941,916,390,359,749,881,575,741,251,
767,676,013,358,677,036,866,211,532,922,976,465,543,357,114,943,214,411,203,
120,613,257,448,372,872,821,695,464,252,652,115,799,940,813,942,729,703,085,
651,351,623,406,543,032,956,848,353,425,340,050,331,185,434,500,151,865,008,
681,428,915,682,920,287,993,973,239,359,880,811,974,533,116,572,549,252,615,
215,693,553,147,076,197,684,085,816,277,498,608,408,606,799,162,954,154,658,
575,487,451,531,287,476,546,136,736,686,518,568,042,399,805,054,145,241,947,
267,609,607,845,458,929,786,427,170,533,193,166,684,226,370,223,721,549,935,
235,838,882,326,396,291,502,945,203,384,792,869,297,723,354,410,413,793,499,
211,258,308,849,882,008,108,214,694,043,742,434,134,731,259,287,970,797,284,
104,925,318,685,305,704,838,042,333,898,201,090,052,098,156,948,221,485,668,
952,010,218,094,755,916,614,955,139,999,198,411,226,339,964,403,422,874,307,
950,917,893,913,675,303,185,559,889,085,502,904,663,977,326,283,815,484,261,
063,190,153,365,380,803,664,208,669,470,919,301,353,445,516,710,139,062,454,
555,802,353,841,468,997,323,313,474,089,000,549,531,815,421,022,513,168,592,
817,354,478,000,783,066,485,003,515,843,882,832,087,746,377,010,670,401,900,
626,816,181,506,083,943,000,457,259,551,570,302,836,060,248,897,695,284,777,
568,905,320,603,150,325,339,313,807,638,996,510,352,020,578,576,156,645,549,
395,699,812,419,218,686,026,446,876,336,416,832,704,448,254,705,165,122,599,
240,888,342,282,624,447,263,039,089,386,614,194,123,240,662,389,726,321,892,
168,632,166,676,349,569,595,236,812,633,158,783,745,107,722,848,809,140,076,
073,764,899,935,961,790,075,983,574,901,551,316,245,875,035,395,030,797,908,
761,395,739,247,540,013,183,592,882,373,701,239,500,869,618,341,902,500,368,
750,898,167,924,330,259,708,827,707,425,671,035,358,481,062,401,319,934,023,
814,068,064,132,577,065,231,338,633,973,415,179,982,254,898,074,909,290,977,
165,737,050,052,356,227,172,560,759,117,073,721,315,159,818,311,778,592,819,
897,711,145,202,319,128,504,069,055,630,184,600,573,956,178,082,412,948,905,
728,458,196,369,064,684,461,073,405,352,921,010,449,695,952,127,437,755,731,
013,407,571,689,226,226,644,005,949,357,287,821,532,824,268,373,553,069,832,
743,124,100,515,667,148,803,951,087,934,841,094,463,998,162,094,547,338,283,
671,823,600,859,318,682,622,275,313,578,153,456,231,603,224,466,836,519,970,
340,773,158,420,848,303,557,272,289,835,808,467,833,177,356,558,243,530,122,
798,437,911,021,640,091,034,957,391,321,844,054,666,230,490,617,596,346,488,
271,666,060,448,918,513,120,210,735,016,063,954,585,156,167,165,350,374,509,
516,921,440,655,941,025,663,502,055,989,183,688,461,623,197,692,465,049,259,
691,583,493,236,527,139,277,432,759,287,430,949,974,106,394,683,986,515,439,
563,333,169,141,166,943,101,302,825,022,886,763,680,096,676,675,195,206,118,
644,739,520,152,649,037,338,554,975,941,680,496,800,018,380,885,890,259,486,
537,292,716,660,989,183,583,136,088,585,226,486,362,989,200,086,090,918,532,
631,403,199,745,248,196,448,013,128,750,307,117,566,903,263,578,789,028,391,
080,112,622,620,850,775,145,120,524,835,773,146,141,286,311,214,331,838,220,
019,342,111,793,778,052,585,850,838,906,553,600,599,556,024,885,215,761,415,
415,170,686,410,632,356,263,412,078,392,757,874,880,381,952,322,636,653,885,
929,937,927,858,421,196,589,368,421,316,996,311,088,362,788,796,953,509,646,
128,722,315,259,600,193,399,055,721,374,218,390,160,188,615,805,179,584,246,
615,841,571,681,962,523,713,072,778,053,129,263,345,927,551,542,442,745,154,
198,608,746,720,102,774,528,968,353,718,681,679,001,698,446,256,467,686,828,
796,347,254,123,728,512,071,139,267,394,220,687,993,379,892,762,037,610,346,
312,004,599,754,503,135,717,401,639,917,001,891,505,970,817,542,452,217,020,
433,032,724,529,009,883,403,359,857,264,128,665,648,418,914,084,435,559,987,
904,526,382,804,071,066,153,712,919,923,956,958,998,288,149,389,040,281,434,
009,521,559,365,797,280,276,913,240,807,594,198,486,556,627,440,846,529,644,
134,848,670,632,122,214,579,668,050,779,486,079,313,384,828,277,109,856,604,
637,983,984,393,878,237,987,293,332,346,294,838,097,788,847,009,050,885,948,
157,334,893,738,851,729,692,161,910,689,697,325,216,238,034,958,045,680,691,
661,171,914,527,333,887,328,999,172,965,104,339,988,505,453,157,327,991,236,
403,743,721,542,825,852,824,670,736,111,859,107,069,515,392,952,636,632,421,
263,163,890,002,667,111,920,909,099,717,646,884,272,378,963,130,320,126,289,
227,880,321,729,148,232,709,604,315,417,359,375,934,932,348,718,412,228,642,
995,139,542,085,267,268,585,630,197,404,018,100,733,231,314,329,203,153,798,
732,346,457,307,380,643,749,178,521,272,626,530,039,651,668,940,457,366,834,
074,759,534,369,598,276,490,364,221,438,273,525,517,804,073,361,403,421,301,
004,390,896,086,198,162,474,661,714,413,470,089,672,358,254,509,281,645,514,
884,407,391,681,793,900,266,884,627,892,213,316,040,031,996,966,302,296,639,
105,511,375,979,143,618,345,356,340,566,052,776,411,480,805,540,372,006,204,
770,743,530,006,566,335,457,158,396,106,415,218,610,667,233,517,586,444,578,
205,689,761,109,515,067,160,497,880,208,092,695,090,485,212,236,918,665,300,
121,121,705,134,052,316,140,367,716,870,454,800,890,420,915,922,607,403,701,
364,494,998,567,939,426,267,062,207,112,666,448,054,612,346,357,088,820,424,
392,489,807,577,976,962,583,375,008,796,489,384,292,837,108,185,920,404,261,
938,596,208,947,144,761,788,026,812,660,469,621,033,444,953,820,749,392,097,
351,020,990,432,171,171,122,551,672,838,743,600,031,137,460,887,868,814,545,
594,536,896,279,033,403,506,959,969,850,197,364,726,500,854,168,756,405,268,
050,804,440,130,613,182,630,173,708,878,049,836,621,432,731,325,557,601,449,
086,844,421,802,517,495,453,722,059,316,664,879,628,912,159,312,502,669,438,
051,400,880,590,177,431,927,064,644,340,484,988,011,553,996,158,511,484,882,
924,445,274,868,776,648,198,748,397,186,674,498,555,943,520,328,242,424,530,
843,356,922,543,364,897,250,810,140,805,661,006,573,597,802,371,219,838,587,
313,784,282,900,545,914,114,331,780,996,050,266,819,480,802,881,699,159,029,
838,889,413,427,056,944,690,490,938,113,628,165,173,938,425,693,139,047,673,
772,772,232,651,047,494,128,812,927,037,828,756,753,057,512,170,915,485,140,
276,058,744,445,239,444,758,716,690,593,898,514,042,012,316,383,181,409,417,
431,389,467,049,999,576,529,550,601,427,616,033,804,328,285,600,026,332,197,
333,443,747,003,788,737,624,236,374,149,473,354,060,876,622,307,129,299,637,
350,747,479,039,664,075,089,347,517,571,274,183,979,742,610,449,620,833,354,
553,791,270,314,474,773,075,861,557,428,508,740,327,536,084,787,438,275,593,
150,312,449,079,356,354,027,751,361,931,301,943,604,268,055,831,904,395,920,
530,306,741,293,758,061,145,437,267,787,960,388,771,723,913,648,163,553,095,
511,188,020,174,467,086,634,872,839,650,805,491,006,387,438,320,569,410,895,
260,664,159,132,279,617,287,950,258,538,876,873,193,112,542,797,298,848,697,
882,936,498,318,319,139,978,451,065,989,282,567,168,980,633,973,503,388,865,
679,291,880,090,631,982,236,498,483,766,491,177,578,614,370,678,784,781,272,
245,607,757,450,152,670,942,714,516,672,157,311,660,611,618,253,169,942,611,
945,706,217,190,987,936,786,794,909,512,569,193,759,077,961,148,361,408,282,
490,308,879,855,543,668,083,799,031,175,939,935,758,507,835,146,519,689,467,
166,374,546,352,560,880,051,785,142,752,923,951,290,169,672,836,247,564,327,
781,820,714,724,878,662,678,702,224,307,199,814,860,415,938,472,742,483,117,
866,381,240,516,295,182,173,278,344,861,746,551,474,294,788,940,761,821,687,
532,637,608,327,148,193,268,391,904,702,513,623,480,409,809,983,300,699,382,
124,676,942,609,424,361,300,468,629,949,007,349,521,386,251,965,071,940,444,
157,280,701,967,975,911,277,134,370,960,954,762,524,488,403,136,054,518,953,
621,526,658,272,454,369,474,104,907,869,790,680,625,332,746,789,390,148,966,
797,813,385,069,616,780,669,647,987,187,561,743,638,819,704,399,010,561,200,
542,793,436,329,454,422,598,778,515,159,766,253,389,554,531,027,481,024,881,
693,573,338,769,275,537,415,953,689,259,865,509,336,701,239,307,310,242,453,
071,241,685,162,557,514,113,350,231,024,261,339,994,718,283,738,267,526,990,
146,785,719,428,785,447,074,152,104,600,741,332,896,321,207,157,900,357,675,
217,773,584,592,349,866,841,346,226,578,671,248,745,891,253,150,114,241,774,
827,692,708,505,015,731,285,902,612,389,988,410,014,906,251,896,813,200,474,
646,631,676,921,898,774,972,846,855,706,199,970,780,768,440,881,775,028,583,
827,421,544,216,310,241,409,629,135,757,161,336,494,842,545,741,240,823,959,
568,009,268,630,062,935,658,849,698,299,368,065,707,153,594,780,675,055,421,
791,576,573,652,177,302,043,152,247,861,190,023,870,068,750,661,204,618,544,
894,510,054,716,230,733,539,770,000,198,018,459,810,859,816,328,691,285,525,
649,545,580,288,752,862,035,326,023,686,985,233,786,669,994,654,892,639,768,
609,062,328,126,535,404,955,831,226,491,792,114,920,459,818,588,493,895,824,
105,047,900,606,559,965,237,224,461,642,336,937,894,734,460,659,140,043,792,
911,639,527,855,009,488,363,620,842,549,269,792,645,329,558,716,800,654,518,
998,728,500,713,338,177,487,589,764,368,344,038,883,018,602,460,483,054,425,
921,629,681,916,253,987,971,328,444,970,057,182,791,769,854,077,684,407,128,
090,382,672,850,797,430,600,608,070,540,972,360,651,404,371,445,605,963,802,
894,157,047,593,138,912,311,851,102,759,637,866,495,595,164,661,270,074,662,
007,358,956,322,355,873,731,220,564,289,189,079,582,567,848,740,108,344,484,
902,207,568,132,165,762,763,196,541,229,722,770,485,905,425,034,720,000,087,
896,545,419,538,616,834,788,312,138,895,384,306,961,149,489,690,419,571,908,
052,249,021,685,380,634,381,764,546,159,116,934,654,266,179,895,307,819,703,
357,322,428,596,374,699,675,711,857,830,691,196,410,245,342,134,751,492,520,
288,497,534,639,405,360,541,592,455,627,278,751,845,403,552,274,379,237,792,
558,476,568,241,377,931,727,114,750,462,371,456,142,463,424,996,388,269,541,
309,063,110,233,354,382,976,114,267,956,278,353,304,828,873,947,147,523,661,
933,674,237,632,446,816,683,885,155,731,262,378,811,992,736,390,766,056,988,
287,136,526,348,064,973,630,056,043,693,452,660,444,510,631,710,092,475,570,
911,681,445,294,048,718,053,105,038,238,395,469,416,595,351,465,020,387,077,
130,091,388,071,549,522,823,100,770,616,600,442,038,161,405,044,536,960,505,
104,246,605,133,356,634,789,041,578,825,184,036,914,932,252,031,494,524,652,
929,941,636,598,383,384,563,015,720,856,216,709,792,700,329,067,459,633,023,
590,906,580,144,834,437,294,120,748,474,830,333,430,838,366,807,840,748,922,
002,792,136,743,014,813,034,803,483,025,635,386,729,252,965,780,378,901,676,
839,839,568,462,022,745,005,635,273,589,262,409,349,158,103,024,062,563,648,
825,332,977,471,976,590,951,264,193,602,835,623,794,238,692,342,970,626,028,
683,407,050,452,421,182,603,874,493,521,967,270,308,692,750,385,937,626,936,
118,914,697,591,839,992,691,027,485,833,454,427,130,416,229,972,353,044,714,
888,574,073,871,435,861,227,234,069,608,900,051,062,381,519,750,250,367,561,
679,357,387,695,134,518,997,011,408,562,662,469,435,104,813,077,453,837,053,
902,822,235,963,555,927,719,826,420,673,424,081,163,850,230,296,614,257,967,
870,325,940,486,982,954,637,111,883,819,382,634,092,291,724,271,157,717,258,
322,625,434,501,012,102,043,430,928,261,522,400,548,042,411,089,523,174,373,
371,182,400,664,948,582,978,914,679,011,108,979,643,410,008,044,613,074,035,
794,251,089,828,978,581,989,317,777,832,728,543,039,588,698,795,614,764,394,
826,844,223,623,720,530,818,600,050,869,290,851,518,020,994,298,837,900,718,
358,282,406,318,601,479,059,270,663,151,849,203,303,281,722,833,181,499,462,
515,186,326,594,022,709,617,202,288,323,507,719,754,903,955,814,965,669,419,
732,307,925,690,064,963,078,578,459,621,652,917,750,421,109,095,494,457,478,
789,041,334,281,257,055,669,294,262,951,979,461,759,590,957,439,889,983,271,
052,786,044,009,688,621,721,101,235,324,493,670,073,740,925,574,402,549,513,
591,071,229,219,267,220,812,728,769,664,930,756,919,058,755,495,329,773,622,
775,918,622,276,960,944,410,490,072,658,026,321,203,828,744,275,348,691,074,
398,107,751,324,743,077,724,059,743,126,029,265,792,123,593,545,564,901,052,
447,460,050,549,745,996,617,902,089,399,756,589,394,972,853,393,417,729,503,
577,894,900,353,520,087,339,041,501,782,089,547,772,983,139,730,256,896,296,
469,581,764,073,298,803,299,757,685,999,329,288,984,818,384,863,451,041,018,
190,724,134,287,505,351,315,464,299,006,786,766,213,922,235,149,784,755,834,
636,955,075,745,312,540,240,431,706,380,621,925,047,533,859,410,497,312,753,
199,892,890,817,088,178,092,823,340,914,378,005,586,227,549,817,278,559,723,
689,243,361,513,529,194,486,772,550,623,650,593,091,736,779,447,161,370,935,
535,368,572,578,999,475,729,515,739,976,727,874,210,933,617,789,538,639,068,
904,890,357,476,389,395,857,798,577,540,678,842,031,864,029,294,091,595,966,
120,572,596,066,304,888,270,114,670,252,723,119,203,179,685,726,993,394,841,
133,896,619,805,642,892,876,513,839,354,130,394,410,237,499,107,684,215,734,
628,843,515,172,687,057,635,914,004,247,166,173,392,684,243,445,288,546,012,
083,067,975,879,914,238,167,696,887,902,828,825,655,863,806,462,159,335,050,
774,262,315,700,465,930,403,995,289,563,105,461,026,338,126,812,232,931,136,
479,578,516,295,153,253,981,635,556,599,310,545,683,134,468,349,710,483,479,
674,334,671,145,853,438,742,231,631,083,385,799,673,650,551,640,658,886,423,
936,616,334,008,229,243,947,519,739,101,569,252,252,622,561,307,342,910,818,
138,014,788,238,270,601,829,229,571,558,175,622,766,348,711,299,236,338,081,
383,026,199,877,677,354,730,362,704,159,373,674,063,229,776,660,742,837,991,
798,863,527,320,896,082,864,427,732,264,812,421,017,619,292,758,293,760,423,
514,018,032,324,904,997,374,133,733,197,768,576,609,306,338,726,631,124,286,
509,180,575,431,621,801,670,525,745,517,666,330,286,115,741,747,786,472,673,
318,594,539,411,619,879,639,814,625,457,905,860,745,381,228,051,685,919,508,
332,594,988,016,128,760,475,907,254,867,721,276,917,723,170,994,826,870,175,
119,616,534,951,968,374,472,998,791,437,672,294,982,840,904,553,647,989,136,
073,466,658,917,811,667,099,973,592,313,703,207,185,264,087,918,543,049,433,
998,597,881,742,585,261,989,361,429,865,066,268,738,749,746,836,461,092,640,
089,511,577,895,764,156,070,872,725,606,652,970,705,000,322,744,446,812,689,
915,709,024,550,200,090,994,097,927,300,183,545,619,125,452,000,606,248,281,
583,843,962,170,921,216,199,803,896,610,215,240,468,425,507,879,825,450,956,
141,350,929,984,700,193,493,145,564,764,882,228,668,967,089,282,084,211,684,
124,859,095,584,515,422,798,165,166,522,192,005,631,054,147,078,041,333,781,
630,727,265,136,751,005,512,092,945,408,237,244,844,196,271,246,055,855,363,
674,501,927,199,968,534,623,161,165,609,933,219,236,035,512,534,339,856,188,
220,149,237,965,861,834,109,116,276,997,668,971,106,633,063,042,926,481,255,
843,028,795,824,352,883,297,832,713,469,536,908,440,447,283,964,324,374,740,
424,275,874,484,717,465,201,910,853,141,336,115,455,524,904,808,250,749,838,
416,420,791,325,756,594,405,654,201,680,426,528,642,219,780,589,901,257,864,
463,673,618,747,966,364,843,313,519,700,702,851,758,074,697,964,146,172,895,
981,282,564,530,429,500,452,172,118,649,215,363,813,752,282,754,137,885,234,
002,911,841,650,521,906,891,828,275,421,177,650,168,150,463,319,561,711,803,
212,521,902,727,785,092,451,377,898,654,318,545,469,765,606,621,730,829,974,
211,892,257,679,324,107,610,948,956,748,461,795,906,736,243,587,921,042,224,
971,795,978,720,238,354,881,145,838,657,263,249,346,388,863,747,831,964,749,
197,558,372,711,643,477,938,793,645,249,279,653,234,624,787,934,348,749,197,
904,291,580,137,676,117,208,721,334,693,132,211,459,775,596,018,815,572,308,
933,114,785,884,184,346,562,461,441,060,400,929,995,003,250,139,469,238,063,
865,246,063,124,148,008,564,351,436,943,500,743,621,672,555,333,142,607,587,
852,545,010,853,939,845,837,281,576,761,968,848,853,123,676,904,228,341,810,
962,194,794,415,013,870,136,928,046,210,129,386,298,709,083,891,640,401,414,
830,288,508,018,085,227,342,350,057,283,851,130,773,286,295,426,955,141,912,
641,577,814,263,751,357,008,156,171,477,034,077,905,748,957,744,664,869,721,
753,292,896,140,965,653,015,638,651,008,480,216,414,231,323,384,791,573,466,
224,499,445,264,223,467,044,379,693,989,677,096,798,590,051,554,370,522,899,
106,808,348,166,810,718,577,672,640,313,242,771,722,383,377,957,354,528,783,
988,905,726,181,782,800,171,875,022,891,668,612,393,304,219,367,385,639,131,
638,953,126,093,342,571,721,888,222,972,482,713,978,201,507,424,083,294,739,
890,168,213,137,689,579,979,186,207,923,525,373,869,468,467,382,164,765,996,
555,438,282,399,539,570,859,216,302,538,394,516,036,315,148,035,131,469,831,
181,175,650,515,986,147,999,199,568,744,880,273,990,339,414,977,001,765,339,
308,594,279,064,682,835,600,532,914,003,414,458,867,661,616,012,050,764,620,
550,008,607,489,901,132,798,481,614,817,728,611,136,147,584,311,382,793,368,
105,401,641,800,322,064,394,361,034,129,591,678,971,758,581,010,622,568,125,
741,972,246,966,386,145,108,626,254,784,681,269,652,985,340,816,830,814,555,
604,750,899,169,386,763,319,493,578,939,093,998,717,105,909,035,168,596,947,
904,694,109,433,369,331,887,409,663,799,883,149,499,307,463,886,341,694,323,
506,405,346,617,980,787,513,356,820,125,628,171,424,531,552,019,843,150,916,
978,277,693,103,491,780,635,457,273,775,318,570,694,702,146,967,532,925,978,
449,391,076,784,789,718,776,302,463,201,940,273,576,205,228,763,680,560,450,
176,513,796,496,425,459,519,705,585,461,856,023,535,149,493,245,459,865,864,
615,503,403,199,305,744,376,516,088,822,142,183,092,162,632,666,956,686,504,
887,605,808,580,709,124,269,670,626,667,774,078,658,820,340,590,811,497,090,
521,255,927,099,853,565,284,612,421,967,437,730,091,671,980,292,848,549,681,
099,915,443,073,382,451,993,650,504,047,097,636,832,104,332,255,193,429,830,
238,332,452,678,613,283,413,846,217,983,824,015,095,169,294,349,854,078,446,
273,567,991,766,827,555,322,141,402,683,930,511,870,795,505,844,413,632,782,
994,842,747,240,615,615,923,382,756,921,905,707,335,547,930,423,316,796,886,
386,681,248,098,197,248,751,138,425,287,230,916,362,565,641,061,656,220,084,
877,475,860,349,153,499,792,929,367,237,853,968,069,255,962,113,620,844,165,
569,764,814,204,874,473,349,497,437,855,038,994,238,145,482,805,168,615,157,
380,044,864,043,349,520,442,858,962,286,171,179,959,114,722,258,428,529,682,
547,676,311,637,585,528,390,175,268,479,262,911,390,746,186,832,749,492,350,
003,178,292,214,771,282,081,469,566,480,200,063,244,086,425,787,034,163,546,
873,919,644,322,625,528,260,766,970,491,273,674,164,954,779,183,475,766,313,
357,440,724,302,927,251,175,903,854,660,816,913,976,352,097,174,382,385,594,
357,819,452,701,231,074,417,818,165,828,035,018,770,408,025,313,426,602,755,
993,538,130,848,407,424,633,269,729,281,554,660,000,843,782,943,763,385,976,
831,712,825,085,158,324,703,939,112,754,704,395,867,500,676,974,620,890,783,
918,058,995,158,655,950,263,602,199,054,205,263,609,119,530,778,933,363,044,
341,170,997,285,725,864,017,631,660,857,427,332,995,188,926,967,505,063,954,
462,607,224,124,228,625,657,217,803,222,891,176,968,460,753,071,146,122,155,
204,489,015,891,171,303,610,581,387,205,980,612,314,982,835,857,708,271,544,
258,988,363,169,916,013,155,073,157,562,914,155,805,857,072,897,851,342,734,
079,297,786,434,746,006,783,145,186,410,430,707,995,496,047,051,483,924,319,
333,811,303,831,885,898,167,440,611,051,895,243,367,118,469,205,303,002,689,
426,289,060,053,329,451,670,842,737,265,985,278,241,642,515,931,751,254,845,
630,575,182,288,208,942,498,144,798,144,658,902,186,625,858,919,906,198,186,
864,937,023,098,226,108,113,932,338,811,818,702,020,640,444,022,360,930,113,
226,909,639,986,324,498,244,510,954,037,047,696,533,990,806,461,498,803,065,
025,245,844,488,084,322,274,174,243,370,430,969,780,845,843,345,548,981,248,
059,087,400,134,835,184,504,828,654,989,474,583,099,357,559,874,157,637,295,
119,919,452,758,840,273,232,052,887,403,530,854,369,951,627,740,130,015,803,
970,637,885,085,670,044,913,970,864,849,596,782,841,775,010,155,891,437,033,
585,660,216,854,029,107,726,640,224,412,104,036,376,258,401,384,553,742,918,
942,071,805,030,677,772,146,570,971,878,415,991,026,414,463,366,391,236,355,
158,866,102,911,091,087,850,441,630,084,815,744,544,304,204,608,292,246,473,
883,912,068,908,583,150,641,938,072,631,934,607,194,484,845,868,141,006,846,
296,723,845,706,036,810,137,401,551,605,361,873,901,018,933,824,607,336,836,
568,279,272,513,668,214,012,439,854,957,735,628,046,351,114,532,791,457,447,
753,251,085,023,010,617,943,324,351,199,186,799,771,212,509,108,066,058,036,
202,275,991,513,211,552,429,240,648,306,123,386,569,427,759,378,930,341,035,
813,648,683,932,010,621,478,196,101,510,582,539,775,264,317,380,794,524,432,
704,697,099,189,904,608,233,642,231,270,932,134,226,363,041,972,813,893,960,
289,136,572,802,694,149,003,566,369,089,769,063,869,436,399,381,074,120,328,
969,264,128,189,713,374,867,085,747,496,145,439,594,140,540,786,136,818,462,
639,336,232,869,073,771,437,158,450,227,914,908,721,496,539,520,177,254,375,
142,527,324,649,739,614,480,233,109,411,359,877,329,672,609,923,348,528,332,
817,558,451,927,199,917,654,556,861,326,208,748,154,302,501,564,852,934,618,
010,354,608,415,134,654,483,214,291,358,006,814,448,433,647,116,026,534,871,
970,011,588,701,408,029,101,134,336,846,241,638,719,795,589,918,584,816,770,
847,495,299,679,161,973,414,045,785,407,187,212,455,783,356,352,355,276,588,
599,079,400,211,296,009,235,014,464,465,599,310,598,521,240,598,935,212,701,
841,806,599,780,254,465,039,016,867,522,194,226,011,923,121,859,753,259,378,
082,841,130,127,243,736,887,252,363,625,887,932,193,379,438,754,920,390,462,
424,387,781,078,899,971,617,213,861,044,934,105,885,842,362,839,128,682,085,
345,160,812,185,814,045,800,163,081,571,474,698,523,450,753,097,081,354,128,
412,362,897,398,590,727,637,680,894,996,009,582,562,701,581,726,947,284,289,
030,234,118,113,314,846,553,079,860,017,924,066,897,370,319,948,843,318,777,
996,571,453,166,219,613,016,447,802,788,630,120,003,968,999,311,361,912,869,
117,234,737,926,012,715,668,952,533,630,976,692,797,052,885,978,459,722,479,
619,737,470,420,869,651,085,412,616,388,848,961,430,827,401,127,460,100,512,
695,569,339,913,756,781,617,919,046,527,361,021,391,750,084,772,536,292,070,
305,116,778,518,539,935,469,838,516,728,142,244,564,151,653,746,780,787,115,
340,859,326,929,120,309,401,870,192,563,342,861,841,379,571,308,381,606,647,
133,443,331,878,284,612,424,910,589,844,323,095,137,202,680,686,374,939,316,
339,847,382,094,038,544,021,964,394,052,801,221,304,272,426,276,946,585,985,
345,460,984,278,037,704,080,327,742,823,498,549,837,754,300,383,178,747,510,
081,843,187,120,993,884,871,854,857,499,475,969,565,462,733,709,560,145,226,
269,040,802,479,554,535,305,187,376,498,263,137,480,288,120,010,738,083,414,
743,371,207,213,211,339,017,526,391,520,745,222,217,045,745,622,865,604,829,
844,576,096,261,228,157,105,036,238,393,107,915,090,772,318,465,486,120,884,
540,220,364,722,761,609,509,907,364,360,595,706,699,346,014,717,607,494,084,
254,799,500,394,088,065,119,341,789,697,546,347,477,334,187,466,660,757,829,
381,766,618,357,199,222,135,341,377,426,263,825,935,327,434,015,819,106,932,
938,070,277,835,555,144,305,152,884,006,414,667,102,761,151,523,254,464,403,
335,668,876,199,142,784,473,480,272,298,647,942,090,461,498,527,501,158,015,
755,335,494,117,076,301,265,400,786,626,851,177,147,086,000,066,464,891,311,
565,183,763,674,099,974,403,917,105,072,229,442,490,428,789,188,385,457,185,
809,247,536,331,362,407,402,339,403,157,496,960,346,153,284,663,201,587,926,
384,198,278,393,758,609,413,474,104,641,100,642,429,962,001,037,994,244,716,
552,236,916,803,329,973,136,579,113,431,518,182,977,275,845,311,214,821,722,
678,347,191,087,495,523,414,006,606,682,032,313,976,019,108,332,704,392,269,
655,310,713,875,213,876,105,080,059,506,756,177,900,734,215,975,290,005,212,
266,870,719,364,710,677,527,220,032,762,286,481,351,534,247,200,971,685,764,
751,796,507,428,259,011,314,805,994,736,680,948,792,073,406,111,080,737,458,
248,808,509,236,197,646,639,635,795,348,167,665,468,007,233,487,043,881,858,
749,564,785,747,041,755,697,190,300,718,584,164,454,941,515,451,558,685,423,
112,138,031,112,905,282,258,385,402,402,049,036,320,835,319,852,374,550,799,
969,978,091,914,287,628,959,485,472,951,369,857,620,063,915,661,738,399,141,
068,662,804,727,335,652,952,047,336,710,135,122,851,100,234,505,266,049,954,
719,540,001,252,520,230,092,152,768,677,612,162,703,111,267,402,241,544,584,
863,504,555,655,907,826,830,150,396,093,672,638,835,561,149,332,340,189,783,
454,889,557,754,351,141,117,513,480,766,371,319,273,001,783,356,886,157,354,
515,788,758,512,682,472,948,889,996,202,280,185,975,302,649,026,727,882,924,
912,778,733,292,469,657,177,215,821,807,971,167,394,297,968,456,203,791,169,
932,838,924,060,299,930,685,116,493,611,825,626,530,363,156,229,540,532,836,
503,970,488,555,512,222,638,371,605,673,267,537,088,853,464,706,274,292,763,
867,739,718,464,957,361,281,356,465,248,850,587,184,970,554,671,855,581,700,
397,823,639,338,291,518,723,920,085,879,630,503,357,925,118,392,205,818,007,
859,150,094,694,974,498,574,780,538,051,774,082,493,349,640,216,443,071,495,
622,932,603,675,597,111,993,777,833,121,262,183,510,001,068,609,052,635,273,
527,858,183,837,630,634,868,618,339,547,636,885,941,306,889,279,850,082,008,
278,758,358,614,938,225,079,326,416,581,002,885,029,263,375,637,199,931,755,
748,716,898,456,005,787,254,247,658,926,336,101,445,864,630,912,133,685,309,
611,228,848,873,166,562,768,175,903,383,619,230,230,264,482,699,285,768,396,
833,205,000,114,137,398,567,764,594,363,342,252,033,703,290,390,936,679,006,
009,820,407,421,541,057,061,450,553,544,219,083,759,044,861,068,138,057,159,
630,009,487,939,996,207,122,409,003,977,165,666,542,118,176,718,935,650,386,
149,765,511,099,615,458,525,087,742,803,135,755,232,886,215,706,882,121,777,
506,672,499,175,031,016,300,504,473,682,835,495,838,063,492,887,524,054,979,
061,131,439,351,960,485,071,241,779,307,826,487,088,985,330,656,478,500,799,
914,225,259,445,801,494,325,147,198,847,905,351,216,874,918,029,447,879,389,
574,580,404,650,128,730,553,109,291,554,172,420,219,526,054,319,934,563,245,
601,010,855,165,413,978,770,201,419,652,761,169,700,215,541,288,079,811,219,
593,175,502,510,596,342,361,719,459,255,863,656,481,745,756,377,055,179,587,
702,359,443,492,757,281,698,112,272,554,898,847,652,058,326,470,662,006,111,
382,721,642,755,062,170,025,591,643,821,448,569,678,820,758,297,457,607,597,
320,079,822,814,527,371,828,209,797,681,710,235,681,286,245,137,609,377,979,
624,008,110,851,583,822,382,745,178,761,453,987,517,422,515,493,733,050,065,
536,536,053,961,382,391,846,692,009,921,255,491,145,400,395,305,954,835,105,
108,183,511,961,383,510,950,677,033,991,784,195,077,874,397,889,452,765,285,
360,741,589,873,142,582,231,479,083,969,867,535,072,392,955,542,717,730,649,
201,083,840,792,873,347,164,311,178,283,954,352,633,350,591,505,663,402,139,
372,216,242,704,725,127,615,728,360,446,417,837,727,142,248,357,898,002,405,
613,125,014,689,126,013,398,830,800,124,497,516,507,648,662,023,622,235,249,
011,752,926,846,341,335,942,504,875,531,173,758,698,602,290,892,739,902,805,
079,550,108,153,359,484,579,982,311,652,782,369,880,904,739,375,451,591,305,
636,259,568,560,568,946,190,086,752,598,675,160,206,693,377,493,664,786,904,
586,375,487,723,961,631,845,454,461,566,227,666,594,826,480,344,033,085,074,
440,650,593,422,862,080,912,706,389,046,151,778,394,850,498,451,098,137,824,
817,793,780,753,112,930,348,805,114,632,672,526,042,268,449,500,003,074,977,
550,430,241,140,000,300,512,813,940,237,703,378,961,475,372,707,001,101,044,
797,120,210,802,798,254,189,186,784,968,459,416,940,394,691,657,010,198,520,
179,053,693,650,939,467,048,022,163,608,399,262,595,493,152,541,445,772,804,
907,113,901,769,248,028,673,113,450,632,362,041,733,105,978,978,893,220,136,
789,206,895,512,209,760,650,262,702,149,277,049,417,596,565,618,469,034,320,
110,225,083,325,436,431,185,063,444,797,066,305,015,903,759,996,107,459,396,
242,935,401,941,962,294,102,292,633,101,243,163,319,898,816,136,965,183,931,
889,968,888,852,085,649,556,136,264,611,926,938,825,991,965,751,210,062,238,
942,076,117,507,256,714,146,034,309,754,329,786,350,422,908,333,310,786,329,
512,197,064,514,558,774,248,946,272,427,846,332,244,370,848,992,495,507,743,
393,124,402,477,808,840,211,074,004,025,708,395,435,309,560,323,780,302,328,
047,996,557,035,595,754,637,897,268,364,288,006,667,807,345,324,567,819,000,
451,340,397,723,018,322,075,835,158,755,397,108,864,263,885,548,411,369,765,
908,076,369,925,315,177,585,855,821,564,255,806,089,509,918,031,842,792,433,
667,326,909,024,716,071,704,899,641,165,769,742,620,002,926,863,882,933,818,
847,703,341,785,563,178,848,666,097,145,317,772,504,044,179,457,705,352,440,
515,419,983,089,726,315,407,959,976,310,027,307,191,623,866,987,757,800,150,
682,446,058,774,350,084,479,080,335,215,185,664,529,645,869,961,085,141,497,
631,325,971,116,563,187,419,493,925,059,939,488,659,064,972,957,697,317,382,
491,864,219,743,962,731,630,300,074,093,794,135,118,245,571,715,594,762,405,
213,027,440,695,976,313,080,051,076,723,774,173,953,359,513,675,080,561,889,
109,785,881,942,159,861,098,575,406,916,138,215,110,063,900,654,408,053,426,
130,756,345,982,854,384,297,825,716,478,060,878,277,977,520,914,556,615,760,
552,172,556,666,212,119,004,982,010,262,836,486,054,241,700,674,675,104,696,
155,180,861,545,281,274,059,710,366,890,990,777,145,632,787,654,317,857,051,
707,295,818,883,254,718,418,619,026,664,982,900,696,244,524,324,775,931,541,
087,989,342,994,021,848,257,918,005,066,254,284,798,287,971,724,675,723,923,
796,160,175,414,857,673,329,045,858,828,683,440,086,444,003,597,395,402,512,
088,686,587,146,922,226,454,803,332,768,380,592,180,767,278,385,248,342,161,
914,945,934,907,286,383,938,244,009,304,713,612,339,764,662,938,821,450,956,
545,880,960,351,863,543,778,209,126,886,413,394,200,854,205,725,503,834,397,
604,158,342,006,760,106,094,481,365,112,038,119,947,018,713,416,740,136,079,
394,600,766,186,596,501,340,631,223,522,123,576,441,897,461,062,789,160,161,
208,096,609,223,006,387,647,456,094,273,681,434,970,887,059,243,665,222,271,
094,912,628,792,920,323,406,689,651,898,354,987,898,891,945,900,497,683,630,
844,375,099,413,928,878,048,618,773,792,712,135,103,114,883,866,139,974,799,
641,686,698,714,281,564,035,072,167,719,341,610,425,043,388,318,152,623,061,
556,714,172,043,489,751,929,266,365,671,407,602,636,879,009,491,837,570,053,
435,149,951,277,817,454,435,524,957,940,304,377,756,097,595,561,607,581,584,
131,863,605,075,196,577,044,810,976,656,090,738,729,120,138,355,588,600,701,
867,818,643,964,804,471,232,089,872,219,755,342,916,282,504,972,042,256,695,
114,718,359,074,279,069,217,905,301,499,574,452,903,729,662,218,547,453,774,
255,119,663,436,518,551,905,434,807,134,732,718,033,447,399,327,467,672,560,
677,114,757,993,371,214,711,335,043,041,268,787,856,691,075,680,869,019,698,
097,130,473,976,528,565,839,827,840,825,117,914,835,212,171,018,449,636,667,
879,204,172,113,456,834,766,882,706,363,539,926,887,918,699,356,185,179,246,
012,209,767,243,872,548,001,528,298,824,352,961,036,536,408,410,439,469,229,
036,055,930,793,002,488,405,822,120,214,781,081,493,286,578,893,342,533,693,
172,338,047,089,107,440,098,137,011,015,334,966,817,545,680,614,263,187,205,
509,038,441,783,446,859,168,056,068,311,347,439,829,465,958,423,375,328,856,
946,815,938,726,291,258,512,764,895,886,978,281,800,424,471,907,090,473,184,
688,800,937,429,931,704,379,895,760,836,154,216,047,130,303,565,312,497,513,
394,500,027,677,201,765,665,901,043,421,345,312,838,919,438,491,500,621,438,
186,941,961,674,041,692,897,977,825,039,741,762,634,591,100,803,737,675,415,
171,801,657,871,499,751,595,865,563,108,304,860,907,925,158,710,454,323,105,
665,544,501,915,504,436,022,472,564,412,926,937,803,123,514,605,744,768,711,
278,580,970,090,598,317,201,528,753,633,232,656,077,744,138,007,762,196,452,
973,107,400,790,677,760,405,295,957,499,695,509,957,986,753,865,791,849,537,
332,023,367,061,576,493,101,158,500,691,379,259,061,877,160,269,360,209,801,
557,119,893,686,097,692,160,685,096,603,542,424,009,028,201,880,367,997,562,
747,987,017,796,917,906,193,437,613,484,704,177,972,292,204,228,479,995,865,
591,633,390,106,099,216,641,165,129,677,968,022,042,078,711,169,900,684,310,
821,168,420,663,276,101,379,811,094,122,324,886,115,269,185,761,487,956,153,
325,257,734,008,002,039,323,367,484,817,869,401,609,346,235,199,260,550,467,
051,819,437,601,045,726,213,149,728,723,966,431,942,447,250,662,088,786,099,
035,126,470,771,630,089,466,276,426,456,319,442,351,036,209,302,416,265,800,
180,754,410,923,776,002,906,720,001,828,829,900,745,639,326,502,180,173,771,
412,722,090,730,751,639,151,924,125,024,214,124,461,812,558,153,476,201,278,
832,178,942,085,512,215,801,958,214,367,449,184,115,834,687,760,043,478,279,
751,571,719,488,287,808,554,782,637,430,225,778,601,357,424,541,192,413,249,
463,149,374,196,545,313,236,123,461,859,383,267,169,712,622,410,005,296,497,
970,742,337,915,709,847,513,473,581,642,808,515,161,776,968,576,049,959,352,
571,463,270,239,338,346,552,762,091,150,481,585,452,053,167,341,807,242,866,
804,971,507,586,865,703,990,008,768,171,804,118,028,397,007,995,666,381,863,
282,422,268,610,877,918,254,322,509,625,002,491,639,690,928,832,887,238,387,
129,515,433,553,730,618,497,119,643,063,514,564,725,238,200,476,831,221,542,
878,258,265,516,179,151,408,525,188,207,301,924,461,054,090,833,464,252,191,
378,296,915,735,530,510,050,262,222,244,273,232,628,884,436,777,582,804,302,
237,830,917,572,476,683,502,675,000,187,010,008,109,952,762,207,114,862,398,
837,158,308,409,968,283,878,949,961,779,287,362,224,520,403,263,459,342,991,
333,796,511,802,867,695,010,859,165,346,164,190,708,165,542,541,670,097,245,
639,390,833,565,996,550,681,549,990,426,402,413,412,906,046,555,168,314,130,
511,545,619,519,945,304,953,835,581,912,271,750,105,302,278,608,350,634,641,
541,728,943,093,838,144,013,121,908,419,797,003,655,736,052,149,739,473,421,
771,546,555,407,748,106,421,352,413,125,738,871,227,427,548,183,852,229,976,
094,603,893,929,831,317,551,813,330,745,347,043,799,644,439,466,094,000,893,
022,549,867,550,067,677,203,251,198,257,511,568,671,902,636,092,907,361,865,
914,864,760,892,417,029,386,100,300,407,130,689,434,337,816,794,589,671,453,
829,504,857,940,618,792,035,525,673,661,883,659,946,646,857,256,518,812,102,
017,953,225,129,526,741,522,227,141,928,760,335,198,001,700,312,946,601,827,
711,381,441,859,332,721,689,792,231,126,511,159,481,441,326,657,463,233,896,
004,238,782,454,284,998,025,698,685,297,376,029,653,036,145,231,596,034,577,
337,695,194,031,881,258,573,911,538,108,924,082,003,999,143,223,636,594,070,
241,067,124,488,245,480,857,080,584,006,378,020,591,889,710,501,145,992,968,
178,763,892,891,338,273,322,038,526,072,422,102,653,672,224,742,395,753,208,
821,549,864,404,947,060,861,962,339,546,357,346,018,798,646,299,558,035,473,
860,107,698,648,653,250,492,540,814,251,150,343,650,366,498,562,828,551,433,
060,387,000,320,024,529,456,206,892,001,779,907,196,733,430,783,448,846,533,
177,939,948,620,594,112,096,376,463,549,336,885,452,173,219,730,945,590,237,
489,953,892,165,286,271,421,371,999,902,306,538,267,459,437,770,577,628,505,
847,043,724,806,777,905,535,883,895,013,988,715,070,764,581,331,245,011,845,
816,479,069,646,773,611,111,210,947,142,141,753,780,801,528,485,451,034,871,
182,723,405,188,621,826,936,379,629,184,546,977,653,163,694,334,270,738,437,
671,650,970,779,652,030,168,328,109,703,795,759,475,567,909,772,751,929,086,
663,493,068,680,587,488,164,558,993,096,910,378,009,993,839,103,378,527,259,
463,366,363,017,132,891,901,429,947,937,496,681,979,290,433,796,214,714,688,
907,690,299,555,380,497,254,823,978,234,991,218,873,102,822,721,790,592,763,
893,271,888,555,042,531,568,022,922,735,669,853,280,927,832,035,885,699,895,
732,639,900,774,019,617,361,546,339,008,750,581,063,172,690,349,003,257,378,
735,851,426,835,273,926,339,485,522,799,259,756,471,132,443,139,023,773,187,
674,899,600,642,629,771,736,512,645,921,287,049,919,826,527,364,842,880,559,
902,018,988,775,229,993,946,303,694,833,538,862,602,941,597,959,324,140,371,
178,799,183,353,914,304,960,429,666,054,717,605,284,370,336,980,542,251,397,
925,449,154,742,226,388,614,469,959,995,686,285,498,434,839,051,988,143,511,
713,754,587,201,969,288,229,366,762,175,499,815,203,425,169,329,955,150,170,
636,118,329,097,594,927,493,081,115,886,839,587,565,830,453,257,611,772,603,
221,327,866,851,514,500,764,142,940,783,517,526,075,334,577,244,306,901,159,
824,927,446,848,159,419,537,689,268,475,134,720,354,993,867,473,023,977,328,
851,246,374,325,759,530,645,329,089,791,402,650,172,046,863,942,968,568,584,
783,088,064,134,292,840,468,038,257,231,915,950,394,307,103,116,752,802,187,
338,323,756,197,806,752,724,162,558,226,562,713,277,908,623,180,309,164,044,
500,056,909,073,576,266,742,013,329,755,287,290,813,742,790,513,176,584,627,
727,942,564,499,743,669,894,542,961,296,576,557,739,723,832,997,683,016,419,
833,117,594,991,260,262,107,559,564,839,849,948,863,720,466,781,684,701,469,
190,963,643,787,048,957,077,608,797,027,646,619,291,108,819,029,534,875,167,
778,394,230,688,502,322,530,483,783,436,362,465,714,791,604,005,762,403,131,
479,448,654,765,746,120,987,144,598,535,766,499,527,138,156,548,034,511,310,
194,281,232,959,008,350,932,113,991,903,647,937,482,796,167,723,391,655,428,
333,935,444,557,135,513,069,101,267,470,842,532,593,748,903,473,342,980,917,
326,074,827,226,280,074,273,277,391,533,636,285,065,300,058,976,025,850,054,
881,725,697,990,356,755,106,000,718,132,679,662,056,044,325,212,785,094,259,
185,577,208,684,131,989,740,496,341,140,860,691,147,538,876,689,827,805,425,
354,065,038,768,017,704,801,304,834,333,378,474,352,229,416,244,246,673,783,
746,127,361,763,710,342,212,150,267,614,608,176,086,340,640,999,142,733,207,
036,135,541,238,035,792,671,634,212,705,513,854,357,067,456,552,544,656,391,
096,448,241,592,836,980,173,380,072,730,521,916,127,889,493,367,735,300,047,
408,159,516,567,933,679,857,962,515,184,802,750,109,323,330,763,734,673,671,
013,515,983,924,990,644,286,181,741,561,959,244,563,656,707,154,219,744,358,
112,465,497,725,445,866,991,407,846,697,680,466,435,393,615,264,386,285,931,
662,785,872,583,613,855,255,695,745,521,423,513,290,270,723,204,612,252,273,
469,791,898,258,513,914,474,221,595,417,619,460,051,050,652,186,750,815,427,
669,245,712,585,587,563,212,165,171,843,614,120,875,371,791,798,626,175,781,
386,190,389,416,158,015,529,021,913,731,910,991,748,817,636,150,746,805,508,
039,764,138,979,883,679,171,239,767,482,229,548,899,396,710,834,883,160,572,
838,558,916,439,321,399,150,776,016,966,324,575,550,959,159,508,299,832,890,
639,235,978,962,302,284,535,323,246,921,501,213,205,798,705,292,789,486,426,
974,226,752,713,998,458,841,281,380,940,038,890,284,377,970,271,416,103,694,
867,138,079,333,692,477,750,128,187,800,451,329,544,373,709,590,498,411,713,
761,725,999,623,716,992,556,358,766,222,377,426,406,861,085,295,696,786,664,
614,233,988,791,504,938,092,021,023,034,831,262,030,862,231,455,143,262,010,
928,352,823,679,045,301,468,887,616,371,436,438,755,751,664,703,977,995,826,
001,102,360,329,825,053,140,809,654,675,803,871,277,400,987,416,676,560,020,
604,135,700,470,951,259,495,481,944,078,151,912,508,758,106,121,772,011,307,
849,428,011,917,247,079,276,720,370,510,653,601,060,876,299,475,370,391,538,
235,779,629,331,051,450,949,319,341,906,209,534,653,219,734,666,288,596,126,
514,780,118,409,318,806,742,142,065,451,181,437,486,623,724,752,429,264,222,
621,565,030,755,054,536,902,764,486,554,220,620,681,397,479,596,015,611,645,
100,942,788,763,976,473,743,303,451,582,299,745,910,756,915,397,064,794,348,
355,328,731,049,128,948,707,432,081,165,000,121,724,529,224,692,242,772,085,
404,084,257,333,305,817,645,858,146,826,063,929,752,519,581,811,021,668,175,
950,249,194,686,662,086,347,801,477,667,465,554,596,060,273,662,244,834,873,
877,752,487,467,026,805,018,306,099,615,857,556,514,300,461,998,060,351,372,
182,850,752,364,779,401,739,557,835,688,915,148,143,071,036,330,831,348,989,
789,178,517,035,396,212,044,876,530,333,306,945,762,666,321,168,996,726,291,
162,632,820,569,241,809,038,490,176,992,416,929,819,146,835,141,245,324,773,
505,943,773,606,337,522,645,552,840,735,100,381,409,049,508,032,029,955,308,
220,136,600,936,358,420,578,021,890,382,340,450,488,974,314,724,829,045,070,
684,121,268,719,918,898,819,919,293,939,808,137,783,212,342,596,518,304,773,
206,908,592,236,594,022,952,963,881,999,966,290,698,353,521,327,652,701,694,
748,944,270,164,049,179,188,265,609,971,646,754,183,147,339,842,250,036,990,
787,021,584,703,682,219,321,314,231,480,932,587,539,732,769,034,236,213,265,
225,538,091,474,809,624,983,496,333,111,921,061,297,286,573,655,650,301,470,
680,292,563,883,905,134,585,943,050,405,555,380,869,176,582,752,920,359,833,
786,895,540,615,664,752,728,105,343,948,077,404,495,512,520,362,458,575,054,
925,149,020,100,310,869,553,476,520,924,229,112,299,667,929,034,392,919,193,
364,215,983,614,192,861,266,143,712,596,709,396,419,486,578,550,519,650,595,
656,150,635,937,747,834,581,020,058,546,271,874,626,549,931,368,631,012,047,
601,434,339,444,412,839,933,328,637,415,922,823,961,116,594,407,094,831,587,
409,172,770,013,116,325,072,073,146,461,246,914,304,295,697,058,324,968,397,
705,435,043,307,237,402,686,388,998,548,091,164,587,316,799,845,230,249,034,
517,802,505,668,832,801,961,834,020,083,430,082,609,679,959,519,091,313,844,
760,206,699,138,012,834,191,082,191,672,722,232,989,621,047,114,989,079,886,
733,158,525,112,375,354,925,770,904,981,412,216,358,361,202,962,825,435,242,
676,157,644,450,661,851,825,926,815,343,855,556,484,131,114,634,768,484,895,
136,220,488,227,220,134,199,670,893,667,142,565,439,191,175,963,235,618,703,
898,999,315,832,251,288,175,143,555,154,502,481,417,626,118,525,585,351,744,
833,053,688,851,460,639,596,298,622,065,809,041,145,607,577,685,857,015,422,
274,186,945,074,954,186,281,077,109,323,773,004,059,055,332,988,423,034,519,
704,301,966,583,199,363,372,330,342,483,030,434,594,729,077,665,119,670,266,
233,463,859,671,561,887,693,555,338,180,656,625,467,873,777,171,535,300,050,
518,550,698,248,286,374,122,052,518,694,196,327,407,359,505,207,302,293,786,
062,420,325,661,720,877,916,880,159,949,265,752,259,267,895,620,232,932,025,
955,764,662,177,001,402,954,379,385,773,904,379,969,840,296,334,632,108,853,
282,816,025,251,350,815,699,943,552,813,714,203,355,878,545,339,632,303,129,
373,651,062,715,218,332,246,840,189,717,319,683,710,102,342,529,964,557,253,
738,277,220,130,955,652,293,385,109,179,871,803,951,223,734,245,136,523,009,
304,237,755,064,118,090,596,476,453,762,310,341,031,963,975,278,000,162,376,
916,910,623,414,677,660,785,061,480,088,797,695,696,972,793,858,470,713,161,
504,014,743,324,231,113,820,408,004,910,735,494,972,615,130,299,932,831,741,
767,798,645,438,979,926,077,123,869,970,777,991,164,460,232,853,764,700,780,
409,503,454,793,071,029,943,086,190,564,112,378,787,198,003,973,971,601,843,
380,524,434,216,264,492,730,649,885,660,976,488,523,078,224,752,842,593,103,
424,511,399,140,926,214,806,238,276,218,867,284,084,312,599,097,112,723,047,
204,331,086,445,782,223,617,936,418,153,271,875,295,725,459,901,062,417,349,
506,123,787,434,217,618,244,633,471,065,097,127,469,395,162,128,707,227,844,
369,216,919,079,854,407,823,108,799,576,600,426,904,433,899,926,017,780,581,
579,769,361,020,084,812,898,767,948,749,255,117,600,923,643,990,272,917,367,
578,148,171,707,594,026,035,741,141,458,727,895,021,264,060,608,762,853,087,
450,685,716,220,402,452,461,547,083,837,134,997,027,854,346,469,205,053,727,
570,217,584,676,591,139,800,387,190,734,645,015,672,921,024,739,348,924,359,
864,619,982,245,022,500,161,321,736,268,564,320,914,224,104,622,735,998,204,
597,764,836,949,604,592,765,193,168,286,825,161,166,130,708,810,018,902,826,
071,925,057,215,486,134,694,754,449,616,452,598,529,363,331,707,607,990,351,
313,479,835,411,115,871,590,816,146,713,143,262,602,863,141,351,242,057,546,
794,151,074,635,398,879,901,550,985,433,271,657,589,413,209,209,369,188,162,
448,808,763,607,719,980,268,138,704,566,890,284,451,067,179,084,931,113,888,
243,080,145,076,982,178,579,864,246,853,748,249,294,120,358,040,477,255,241,
019,370,109,727,211,299,158,110,628,863,147,645,873,714,867,523,065,398,901,
429,450,590,447,409,856,237,167,680,717,127,376,123,668,342,872,933,629,676,
236,551,693,621,655,072,966,455,599,881,584,813,609,684,781,848,715,192,182,
241,970,454,254,298,693,844,420,238,174,637,924,439,378,567,052,014,447,508,
001,127,896,977,453,741,501,392,181,578,826,319,266,019,547,981,551,561,999,
311,199,564,949,608,113,356,918,790,901,202,597,661,705,615,571,191,936,699,
562,103,494,974,529,152,761,584,015,828,738,352,791,013,538,552,313,601,927,
923,964,621,021,127,518,676,525,052,957,909,076,239,337,075,121,628,570,610,
654,379,515,356,738,892,461,656,016,986,956,808,071,071,813,132,184,042,150,
169,855,799,932,263,370,538,534,304,342,046,811,039,360,317,721,624,776,793,
912,256,439,027,711,212,254,580,504,846,136,841,591,269,485,106,249,108,335,
107,489,511,598,637,485,193,321,026,212,946,464,957,483,480,627,302,268,158,
218,834,300,161,411,874,451,873,705,564,386,138,692,129,034,341,050,742,318,
848,034,803,760,575,837,404,288,983,972,973,876,025,085,589,749,429,965,944,
219,657,505,590,030,749,302,137,826,045,780,481,146,191,543,609,201,469,494,
924,859,688,674,887,305,790,899,229,294,144,805,001,163,541,857,010,255,828,
102,311,916,473,332,337,851,120,891,250,320,575,013,675,481,692,645,243,572,
661,595,915,364,253,215,433,271,444,448,678,513,774,985,308,665,991,679,520,
749,136,264,662,754,927,200,145,112,447,974,156,168,681,136,719,254,308,597,
408,416,604,918,660,137,299,909,311,848,948,875,793,652,447,843,240,468,608,
583,143,169,939,495,684,145,920,070,604,148,600,528,289,928,813,048,543,734,
290,529,531,187,919,285,256,355,757,817,494,822,193,356,652,668,692,439,594,
634,333,143,290,273,332,854,847,494,324,651,036,885,460,317,762,114,255,593,
660,048,967,393,945,428,745,426,688,261,935,497,090,186,845,483,627,480,961,
735,414,258,043,812,792,469,722,589,303,323,732,571,844,737,747,243,351,050,
212,915,094,387,302,446,257,506,747,899,779,419,052,480,501,986,989,665,447,
482,386,818,693,090,200,586,174,809,415,860,664,097,145,669,873,867,637,897,
200,148,450,948,853,783,665,816,985,966,015,937,322,410,127,893,674,010,807,
664,601,770,941,115,480,999,173,479,402,832,892,868,069,104,544,722,994,187,
643,321,968,081,732,259,300,086,733,867,845,998,606,696,279,526,849,478,632,
117,941,370,309,963,952,124,981,728,502,893,045,483,836,883,796,363,392,641,
873,264,930,131,976,817,700,116,840,455,507,897,844,404,304,969,465,538,339,
435,696,701,982,897,714,013,551,637,050,067,683,128,874,181,253,821,029,423,
797,282,421,324,981,962,295,367,171,018,523,571,324,107,654,555,285,412,027,
352,254,594,363,519,146,531,803,842,223,619,902,263,662,329,007,385,453,424,
109,293,775,562,598,012,766,108,450,393,100,549,064,374,669,664,047,255,118,
576,631,804,983,171,647,702,936,525,477,719,767,739,195,362,303,669,479,957,
468,836,983,310,035,308,512,344,821,842,091,243,832,338,800,123,820,277,373,
582,409,840,344,940,584,571,646,600,921,098,627,248,094,698,506,364,430,488,
882,339,966,181,195,268,070,310,803,185,588,470,035,725,230,915,867,146,853,
301,296,404,985,909,141,377,109,123,724,985,284,544,512,351,531,167,383,687,
181,495,050,509,657,971,240,989,300,550,097,507,968,133,261,555,648,171,100,
702,771,760,887,927,592,240,784,934,821,431,195,206,146,986,074,249,123,692,
808,461,563,783,237,072,583,139,010,669,015,490,724,902,011,335,606,041,620,
528,299,913,979,665,234,132,266,708,857,307,638,102,588,310,772,207,747,591,
594,642,017,543,321,275,498,083,843,458,370,139,849,567,892,666,108,832,148,
373,343,402,101,385,277,937,595,565,569,719,026,549,336,293,767,969,107,955,
973,587,910,507,770,364,536,807,150,012,027,847,193,778,193,559,627,420,829,
228,260,931,555,474,876,709,198,042,584,915,736,859,501,523,208,020,936,544,
303,700,903,309,543,251,746,155,932,364,085,963,430,420,670,167,832,999,125,
336,672,828,177,378,544,365,667,127,022,604,954,627,042,996,692,261,894,469,
349,777,961,163,228,536,079,761,151,155,615,082,909,682,219,074,441,352,312,
949,864,376,508,643,530,249,402,151,555,101,527,764,426,703,281,680,378,655,
698,732,487,210,180,592,429,841,539,165,484,758,161,395,881,193,331,097,243,
966,755,089,237,102,658,316,641,337,029,651,844,862,269,626,064,437,741,698,
424,516,411,807,423,961,032,555,734,192,392,808,231,812,856,011,489,626,823,
995,376,898,760,328,338,118,853,082,919,598,589,653,064,292,341,730,642,736,
474,598,960,215,104,263,782,358,733,944,240,262,647,414,669,858,773,248,726,
884,984,880,674,160,942,985,259,977,467,163,766,766,468,516,515,012,943,495,
016,764,287,853,623,549,257,202,831,017,195,567,465,741,608,901,265,793,077,
436,233,382,401,933,527,440,238,798,443,288,908,664,330,878,695,740,308,661,
508,666,132,178,542,040,971,258,461,295,780,560,313,587,095,253,442,468,086,
683,117,258,884,185,876,682,876,154,107,288,068,122,960,863,001,208,250,659,
809,635,940,594,964,624,652,284,368,578,705,308,554,408,718,988,701,792,460,
560,724,592,364,554,940,287,393,219,633,649,938,103,312,074,353,736,177,134,
901,603,161,519,970,864,902,583,530,457,611,848,147,579,600,525,502,995,581,
248,333,972,924,619,044,514,137,658,315,632,301,011,983,291,491,655,495,089,
971,638,624,459,252,116,292,590,487,874,892,424,320,752,471,968,986,655,547,
217,762,885,014,615,718,473,504,516,080,769,345,247,273,711,221,907,619,731,
502,764,395,122,256,480,158,239,533,351,343,057,125,360,273,454,896,152,579,
351,839,222,465,532,404,574,536,548,397,262,719,875,797,307,464,914,573,844,
702,999,882,642,336,180,691,207,611,576,517,806,974,402,389,419,406,758,016,
033,184,283,927,078,978,111,693,733,530,399,456,301,306,162,065,356,324,273,
502,779,563,799,759,119,541,023,978,444,912,316,796,981,470,505,691,059,202,
046,587,659,430,880,246,217,490,163,066,615,390,258,505,437,631,548,413,654,
632,838,794,310,857,081,294,076,862,166,731,785,412,978,166,838,848,993,641,
476,689,749,430,276,607,099,790,325,000,394,012,302,273,482,811,038,185,445,
333,459,800,673,395,921,416,674,630,482,403,377,236,148,283,220,300,945,122,
020,250,017,341,708,412,915,141,782,356,971,523,084,543,320,919,124,859,613,
981,485,360,760,515,099,993,861,153,950,259,099,618,081,905,827,227,443,182,
755,258,415,953,095,853,457,509,371,704,560,032,303,026,251,723,250,071,895,
202,137,555,789,199,903,269,949,441,175,454,431,222,096,413,741,434,360,548,
869,827,043,649,019,696,497,840,687,964,466,678,546,292,104,884,614,047,307,
641,868,589,474,328,004,633,536,197,838,623,412,427,511,286,812,435,841,492,
305,405,188,067,630,823,747,206,441,668,039,385,795,014,870,674,276,195,955,
833,779,479,336,642,466,731,648,056,662,898,910,656,941,785,505,041,818,193,
573,024,918,916,188,615,695,503,141,752,293,757,144,802,955,951,512,391,286,
415,999,709,423,623,364,627,791,797,296,189,536,074,660,259,554,791,094,830,
336,477,356,345,267,239,988,545,431,897,198,067,390,831,935,108,008,925,389,
852,674,921,409,730,372,391,427,012,250,904,618,620,409,525,742,844,429,246,
251,889,580,815,191,143,280,704,666,872,307,791,975,717,001,119,092,234,577,
457,462,519,861,307,782,205,081,998,318,051,829,114,958,186,418,661,016,419,
351,090,898,895,223,257,819,050,574,568,530,330,408,918,736,200,051,906,215,
813,561,962,854,814,096,030,134,944,311,773,609,234,728,623,981,096,680,850,
233,696,624,933,971,139,650,161,853,542,552,481,308,993,852,279,617,959,005,
923,068,489,580,198,322,787,715,436,296,934,410,531,811,133,844,863,080,280,
022,737,314,658,359,755,232,241,987,111,520,279,635,670,498,931,221,763,744,
541,496,518,489,217,043,420,114,348,174,971,276,156,618,378,384,164,024,022,
590,571,496,798,339,685,026,369,060,255,534,030,315,692,387,611,089,208,991,
588,521,074,636,826,077,869,359,345,560,751,525,112,848,057,884,866,078,960,
651,138,627,433,932,306,725,979,081,042,640,543,576,203,879,233,395,674,251,
992,716,243,450,491,934,502,240,231,656,317,404,250,696,102,902,549,800,213,
338,627,097,900,052,400,061,531,243,735,603,957,030,763,866,110,010,017,680,
432,570,258,118,778,062,965,521,554,020,306,326,220,211,965,454,946,025,318,
858,692,378,810,543,637,875,795,224,159,593,908,498,210,049,448,205,659,328,
808,801,590,213,488,664,709,409,205,228,739,897,950,583,536,032,588,383,324,
131,848,407,559,958,233,279,235,304,292,993,519,262,296,941,453,559,327,119,
976,102,839,776,547,218,715,340,515,622,858,989,336,260,957,778,725,049,096,
367,934,607,887,886,425,177,780,157,910,588,078,766,768,354,810,200,644,293,
497,927,804,348,242,738,177,020,165,184,775,976,286,054,398,432,222,850,788,
247,633,167,502,953,785,373,834,643,678,364,825,077,069,381,649,331,753,756,
059,674,409,966,257,984,807,125,818,101,630,131,537,310,943,757,213,936,334,
506,711,526,512,171,782,251,536,600,095,305,493,653,172,211,026,150,011,289,
242,835,422,323,837,606,216,043,202,649,553,478,660,108,068,968,623,148,079,
982,614,680,802,004,559,695,908,408,758,456,712,317,570,005,208,948,495,173,
231,904,877,713,968,931,938,835,304,673,156,730,615,383,974,123,207,350,572,
048,334,611,155,677,983,612,303,318,846,240,641,357,817,275,031,056,619,421,
306,594,162,767,407,488,829,177,585,549,368,513,817,910,999,469,785,029,528,
615,628,523,298,198,606,637,534,118,632,681,634,847,972,891,025,404,093,809,
081,143,132,446,768,727,946,082,320,014,291,199,910,110,696,961,194,989,599,
406,773,331,598,211,110,536,683,090,379,760,488,418,685,090,305,452,737,676,
181,892,255,188,698,109,184,160,312,629,796,243,961,391,745,512,711,608,931,
033,461,905,093,404,165,158,499,837,403,286,736,739,928,193,296,198,317,485,
601,008,264,891,586,558,215,552,676,737,276,052,483,410,792,719,280,039,876,
519,131,473,362,361,458,169,420,378,331,844,657,126,124,767,041,750,875,438,
597,872,612,207,913,461,955,036,901,118,472,991,493,639,283,908,623,507,787,
575,320,261,446,542,901,129,943,674,226,387,659,525,625,100,581,919,042,234,
144,077,315,022,934,028,360,951,284,612,863,474,515,295,732,073,918,101,406,
454,996,874,544,360,177,022,012,314,773,989,538,743,401,870,477,504,197,328,
611,494,244,686,036,822,037,306,899,227,683,594,354,548,555,579,227,378,244,
355,719,288,164,757,649,477,486,176,006,635,157,140,839,533,254,706,583,086,
321,746,884,299,195,036,431,656,893,736,129,457,179,239,480,671,980,218,359,
541,100,192,827,277,274,101,850,161,425,113,000,152,960,961,324,074,513,916,
273,541,791,015,159,734,167,740,830,811,671,224,693,124,424,575,333,895,895,
795,821,269,624,650,868,028,121,984,837,370,485,684,035,936,591,242,791,274,
826,826,951,233,771,516,891,782,618,208,746,349,999,043,752,411,440,628,270,
771,714,184,862,255,908,188,726,433,885,613,161,199,966,404,198,727,191,829,
216,103,639,868,227,110,277,811,665,120,125,244,790,412,356,970,931,661,011,
689,273,279,965,215,917,653,978,151,446,101,096,654,759,932,517,439,615,279,
257,633,981,585,397,200,234,708,413,138,591,937,841,591,422,101,242,875,624,
243,664,874,054,266,696,132,840,661,196,383,179,048,510,180,292,505,894,015,
672,828,108,082,834,930,833,160,377,573,087,527,648,054,783,657,829,632,247,
796,631,252,090,189,785,491,053,983,538,703,103,004,431,883,279,101,424,660,
891,815,376,602,581,783,260,563,234,863,673,708,658,717,131,998,156,006,579,
259,952,063,429,035,047,166,847,606,457,417,760,240,360,451,831,414,584,401,
859,046,970,795,447,228,577,774,646,488,307,407,444,696,758,326,492,957,139,
686,073,094,342,366,266,899,095,136,470,775,087,942,125,035,078,378,506,495,
099,017,353,724,221,008,059,010,606,740,044,048,041,026,714,161,696,380,360,
743,955,226,502,633,354,441,192,237,695,183,548,195,167,420,848,886,389,802,
553,113,573,522,974,722,788,990,605,976,389,237,533,514,067,630,361,056,448,
894,720,886,375,703,377,016,298,652,941,142,135,807,446,040,092,285,511,770,
164,147,514,711,401,834,040,957,493,956,530,599,473,116,815,504,711,363,164,
336,139,255,941,649,268,223,968,064,564,203,950,700,356,713,044,232,815,227,
256,213,556,096,372,719,165,306,178,999,807,202,465,339,740,780,251,161,087,
761,902,820,119,002,503,390,936,499,187,029,835,496,719,500,008,431,350,227,
738,843,759,543,083,555,237,958,706,810,955,866,001,634,017,723,393,565,740,
357,881,928,975,525,031,131,281,906,605,113,052,750,870,319,753,293,967,044,
105,949,453,997,135,671,548,856,382,385,422,401,725,347,113,307,197,883,897,
993,178,166,834,673,794,050,593,829,082,263,671,283,520,913,420,810,402,237,
216,484,993,518,319,971,320,553,869,424,283,748,792,285,498,129,897,435,692,
026,400,370,459,027,018,131,019,263,966,565,653,323,027,844,753,739,614,638,
430,156,962,272,109,416,786,191,381,939,714,855,969,150,320,079,904,427,263,
098,642,602,471,296,595,007,894,854,936,262,690,074,125,194,285,269,233,793,
393,348,770,170,094,421,429,602,270,913,966,739,912,140,403,696,537,155,961,
686,122,491,202,444,819,665,489,928,641,960,768,018,259,458,339,207,182,780,
127,601,294,607,271,284,982,251,069,569,710,130,961,428,094,204,123,412,300,
302,420,298,292,159,091,684,696,995,740,961,126,110,154,862,700,575,505,745,
895,011,523,297,310,107,143,401,209,291,875,271,162,739,239,832,576,389,545,
133,231,055,138,403,476,909,926,104,468,121,358,677,559,959,321,904,426,542,
301,129,397,211,891,664,121,905,532,816,276,929,961,884,076,190,619,770,992,
606,072,614,097,870,010,047,021,358,477,060,649,348,084,585,742,966,158,133,
919,156,751,629,962,433,719,189,065,722,401,055,041,877,508,232,559,196,730,
116,136,432,289,623,547,733,976,868,499,811,446,698,773,165,152,833,705,455,
883,445,064,775,053,642,058,478,211,854,908,264,845,950,350,912,072,146,088,
887,496,773,294,363,835,874,582,518,411,020,156,171,217,414,562,857,732,699,
205,402,555,552,080,117,242,592,301,286,763,485,543,788,890,642,374,708,973,
713,181,209,475,616,925,012,013,296,793,025,614,541,156,698,016,121,263,828,
065,917,467,979,239,690,235,107,406,473,043,342,990,424,528,908,010,324,200,
763,690,341,909,536,749,331,766,300,227,422,983,021,950,777,684,220,398,171,
317,936,057,774,126,848,321,815,687,276,485,068,994,367,459,095,900,200,567,
539,173,278,215,786,566,057,638,034,964,282,792,521,166,324,852,070,945,623,
355,027,834,862,541,252,592,552,810,721,308,227,764,787,491,514,777,209,428,
362,671,392,323,989,308,092,912,622,131,229,501,837,990,475,450,099,824,247,
249,739,193,257,418,846,373,917,897,291,571,475,264,973,859,692,801,247,294,
698,503,351,659,334,911,128,597,379,009,308,445,390,151,273,044,795,713,405,
783,542,654,894,819,290,761,019,771,590,913,375,042,210,340,138,542,592,434,
136,435,064,629,025,358,727,676,236,640,875,945,269,076,653,042,263,133,623,
967,815,893,490,475,991,220,119,348,702,781,040,792,129,762,997,158,156,337,
264,159,639,167,865,016,390,151,571,062,298,539,716,825,439,462,958,916,238,
745,606,313,991,493,802,369,439,451,018,623,460,895,875,034,347,606,082,453,
187,641,878,217,315,824,982,987,219,769,146,326,487,622,210,150,965,081,563,
262,023,245,869,465,411,337,401,548,329,110,741,542,153,459,793,026,974,818,
821,794,803,774,861,736,991,528,354,623,792,858,379,781,110,670,281,224,750,
434,104,686,191,395,624,850,446,462,036,736,420,284,395,329,745,273,039,896,
030,464,435,241,707,541,067,176,495,525,101,892,954,052,863,334,874,689,394,
760,897,741,063,902,860,117,884,244,029,818,756,456,984,749,407,328,468,713,
842,162,806,505,810,259,502,894,121,580,798,155,313,189,388,942,602,416,841,
016,423,475,745,654,494,723,740,514,438,044,878,866,603,987,344,130,144,192,
168,303,435,272,588,407,596,008,109,035,422,751,264,818,584,844,856,723,454,
918,991,458,005,093,035,351,124,287,689,158,256,289,635,626,380,143,974,131,
745,501,055,049,904,879,359,675,105,008,160,381,679,740,165,518,604,378,464,
801,674,917,778,274,812,002,200,904,902,239,668,042,102,443,727,107,323,880,
749,884,517,466,410,690,404,993,548,486,001,049,377,864,965,111,787,749,291,
417,935,618,590,385,502,840,250,290,103,450,785,585,030,928,015,168,641,975,
106,494,373,331,148,166,911,558,527,686,600,405,473,148,138,594,062,617,415,
579,147,832,321,853,246,770,249,899,705,016,426,133,707,675,827,825,028,158,
711,860,243,480,339,155,953,477,823,846,207,393,379,160,119,413,253,732,301,
491,587,669,888,138,874,555,288,552,728,046,983,894,044,271,833,319,230,719,
199,514,459,443,430,133,962,036,949,131,373,681,424,721,798,639,255,472,314,
552,400,593,459,707,228,909,591,822,249,989,334,944,577,633,344,192,447,068,
700,089,393,580,170,573,330,547,475,945,872,447,236,222,678,626,519,579,961,
167,036,947,123,163,054,494,348,141,145,515,649,385,052,868,242,096,898,414,
199,973,730,945,875,861,758,399,464,694,606,172,671,468,542,251,157,169,160,
028,808,430,639,657,437,267,106,562,447,865,019,848,948,389,101,049,687,791,
980,004,614,616,152,932,705,306,155,424,969,319,335,213,870,154,131,587,445,
680,511,494,381,145,773,141,819,670,814,546,431,228,011,244,681,461,005,806,
883,013,049,084,876,110,354,131,250,925,109,856,888,129,314,782,900,768,868,
505,877,025,479,706,090,497,428,422,620,137,656,516,872,905,619,021,767,585,
433,479,294,392,995,614,150,084,235,902,726,973,215,994,320,697,479,411,445,
662,848,922,959,989,080,033,738,596,050,455,419,803,546,892,135,739,110,888,
483,699,458,901,029,959,806,083,327,974,493,742,356,833,713,474,987,726,291,
614,180,494,462,354,134,767,053,562,919,497,676,453,329,675,751,417,720,996,
986,355,356,512,419,616,340,718,046,609,080,009,937,443,624,606,931,974,995,
451,204,782,628,679,400,113,300,117,599,452,882,163,820,582,691,584,973,274,
083,984,518,302,561,892,992,484,182,664,445,708,034,351,188,053,491,619,761,
418,403,767,623,122,804,527,877,027,777,255,182,099,419,959,663,509,188,110,
842,576,086,993,570,136,537,013,551,342,621,849,428,894,790,531,572,044,393,
471,497,719,455,744,214,435,262,019,273,786,604,605,034,989,087,105,477,741,
246,905,150,348,420,027,267,446,466,287,863,732,208,211,203,792,343,703,308,
497,061,310,891,351,760,420,941,819,215,708,969,623,958,623,743,763,394,719,
042,655,743,164,649,786,704,548,625,858,132,879,473,513,800,674,585,716,155,
662,778,588,157,493,881,116,861,946,253,600,313,481,899,121,473,165,738,918,
711,256,694,572,941,935,995,549,910,742,986,846,953,460,636,271,321,895,662,
631,707,292,394,018,584,053,767,638,146,568,149,801,335,232,798,346,789,674,
502,383,934,214,928,344,912,762,147,963,481,475,125,988,355,839,284,686,844,
524,102,631,976,991,389,756,940,053,078,243,679,347,781,467,828,614,196,848,
034,132,679,094,558,454,978,028,345,009,155,128,683,572,264,350,246,650,015,
786,639,936,803,846,599,819,678,474,538,888,002,362,135,757,581,971,997,601,
020,690,221,486,218,922,368,699,495,062,851,872,600,853,818,894,570,712,759,
353,231,800,215,726,428,103,293,063,696,756,714,969,183,863,908,450,821,049,
008,929,872,961,203,034,635,518,130,584,143,515,614,623,029,895,070,742,351,
034,210,209,006,765,117,208,079,638,410,675,502,230,742,090,644,502,479,767,
712,940,715,008,437,915,474,096,416,829,902,493,663,406,644,175,518,301,703,
174,719,343,843,941,558,670,197,909,703,387,863,238,838,519,459,779,355,895,
358,175,537,855,784,642,789,640,902,142,944,489,567,137,803,348,127,083,308,
800,056,346,724,675,120,606,173,767,335,447,236,381,439,802,439,597,833,440,
857,051,341,809,859,961,711,004,976,039,154,374,804,840,854,758,369,757,011,
362,424,693,449,499,065,346,667,650,169,338,751,254,114,488,132,263,075,892,
706,343,863,652,762,691,785,551,982,429,010,680,858,988,741,040,505,608,008,
916,542,249,949,504,302,878,474,248,646,038,055,689,794,511,407,982,851,617,
304,326,116,128,572,536,180,471,535,837,028,503,978,107,903,082,485,638,400,
168,888,019,937,964,042,608,625,183,089,775,267,044,523,370,051,711,192,619,
331,267,001,605,496,920,949,659,928,487,480,553,942,605,612,839,208,080,947,
828,250,234,172,386,195,402,365,857,960,525,471,626,420,653,714,570,198,157,
096,568,643,816,659,284,809,125,396,685,735,673,077,453,190,932,496,623,297,
752,272,107,097,805,277,572,636,008,268,508,633,497,975,898,429,771,902,340,
781,623,392,464,729,368,115,235,753,001,575,787,168,049,026,008,112,534,230,
352,756,446,753,464,704,530,610,084,101,546,661,357,327,635,419,295,996,855,
966,940,214,824,474,599,000,127,229,341,233,716,289,270,884,110,984,232,391,
576,094,016,126,623,673,158,190,748,132,461,342,076,592,245,231,011,888,981,
392,839,974,902,933,874,515,133,323,189,276,030,491,037,178,916,148,374,263,
075,471,363,764,305,864,877,115,692,942,601,661,636,768,212,881,854,201,930,
277,753,756,729,672,701,815,509,172,597,200,760,097,583,676,494,348,756,110,
233,880,831,150,140,600,341,924,323,731,598,147,948,651,613,291,110,332,856,
843,711,880,127,492,590,003,130,385,676,605,169,274,655,377,700,015,277,954,
776,976,468,680,994,805,848,283,152,406,528,607,465,985,485,453,364,195,960,
558,029,528,995,597,407,846,418,220,922,231,427,481,876,896,954,174,008,545,
182,421,269,984,055,103,690,648,210,685,593,453,306,030,191,115,881,436,245,
565,751,828,853,705,685,232,105,945,137,441,518,849,818,759,337,030,001,186,
515,258,407,442,982,274,014,883,637,206,379,068,156,592,822,987,420,889,691,
372,949,877,155,716,602,264,248,198,284,232,958,229,262,911,210,281,472,033,
415,079,124,725,049,217,632,212,560,816,645,912,067,543,276,998,912,583,695,
005,195,482,391,407,612,713,382,009,361,054,007,031,080,177,985,477,455,954,
544,760,158,815,703,142,033,371,338,971,741,383,854,051,033,219,095,377,479,
361,778,912,473,618,567,162,671,707,591,108,061,578,922,992,884,712,401,035,
386,787,602,860,395,656,883,813,788,921,982,215,554,822,562,483,461,945,023,
228,400,850,061,924,879,643,535,160,582,918,767,760,108,817,153,110,002,963,
652,039,802,165,707,149,426,823,020,514,931,560,833,508,606,483,311,091,252,
692,417,322,161,939,884,592,323,724,375,174,086,616,435,374,523,083,278,972,
505,659,205,163,803,957,575,517,574,599,547,892,588,395,392,379,287,479,025,
296,072,851,382,296,180,602,187,633,079,928,866,543,437,396,968,068,882,076,
130,536,021,189,996,490,048,273,664,378,076,975,562,211,952,505,673,233,305,
358,175,295,971,938,305,568,684,947,277,757,370,138,087,453,215,253,924,646,
239,475,682,412,766,415,927,809,844,143,730,221,402,736,145,861,548,110,088,
669,537,557,690,381,242,981,984,763,264,227,501,700,628,672,968,446,306,496,
271,842,562,449,296,387,381,782,980,794,731,150,839,903,566,608,294,618,181,
406,005,891,502,475,384,128,485,748,387,079,987,932,528,248,047,386,331,001,
334,995,445,945,058,661,008,732,223,329,305,951,380,849,325,412,550,907,446,
570,488,697,731,344,754,673,081,362,904,295,403,743,571,040,323,743,880,030,
597,928,362,421,284,957,410,809,983,891,744,745,238,206,712,301,168,360,766,
502,743,531,762,639,204,772,192,325,238,793,837,372,618,468,661,003,029,719,
533,590,191,179,494,458,115,379,861,399,218,954,031,312,228,740,782,709,274,
095,084,382,431,106,428,787,016,346,970,793,026,985,155,718,851,421,281,006,
347,241,343,819,493,384,843,664,778,014,949,721,938,452,183,466,247,334,514,
114,056,838,843,376,397,621,808,238,914,651,124,349,560,155,538,763,341,790,
080,253,383,376,770,325,392,334,337,500,502,581,305,180,534,061,072,683,977,
469,016,976,983,737,375,698,553,587,118,353,993,264,920,757,447,652,644,646,
019,528,828,894,257,558,186,075,632,032,678,576,183,424,838,610,069,183,450,
967,892,222,068,745,666,275,485,840,715,479,832,096,095,145,106,471,549,577,
549,103,298,337,885,971,474,264,685,260,541,495,717,894,506,803,315,162,156,
656,561,743,996,950,949,832,874,249,630,607,397,228,092,866,007,637,567,296,
302,824,153,037,097,432,813,363,586,171,558,582,836,638,983,216,603,790,237,
963,670,560,900,948,861,333,068,734,602,446,720,209,263,211,200,330,260,181,
911,700,635,091,192,063,867,234,683,271,022,914,888,388,615,899,421,607,115,
839,671,428,408,984,166,322,051,808,588,610,978,247,013,930,327,136,560,550,
056,534,349,333,056,471,116,091,026,728,376,765,511,313,884,681,419,965,964,
325,510,095,035,220,158,880,105,161,582,935,066,884,828,415,137,279,249,444,
335,098,464,640,088,430,475,951,296,458,060,610,769,699,091,953,803,371,315,
345,801,135,383,242,290,983,071,376,702,237,015,246,839,087,058,448,794,998,
437,093,119,534,407,798,152,840,283,827,543,303,655,135,171,516,853,857,396,
631,920,932,273,496,428,907,508,284,021,877,475,428,113,632,399,082,919,017,
118,963,756,785,912,420,093,770,252,929,578,550,887,051,703,082,902,760,005,
034,663,600,773,325,438,528,048,570,209,978,118,883,331,724,553,643,186,395,
501,915,716,109,732,446,746,114,085,963,602,451,274,020,688,596,405,306,270,
057,954,463,037,196,195,766,257,625,882,674,471,650,404,845,006,777,650,336,
865,220,748,822,151,068,027,920,782,150,932,299,537,539,013,487,231,338,302,
041,035,491,623,105,186,113,094,923,075,602,328,890,500,126,207,080,888,477,
546,233,738,787,573,722,412,649,538,461,432,703,859,759,461,584,699,172,360,
687,775,975,578,319,967,577,176,598,142,554,410,079,323,534,982,899,820,938,
308,510,757,772,343,400,805,763,936,463,794,939,156,219,968,754,948,785,746,
521,878,207,519,842,833,149,746,766,067,056,266,517,603,420,560,859,617,526,
981,642,805,469,360,692,152,202,003,514,726,582,690,019,231,882,922,074,589,
441,413,476,733,227,118,748,437,423,495,347,111,954,778,376,571,077,736,961,
819,203,414,187,739,829,194,609,492,386,926,519,990,130,599,108,892,178,173,
845,352,204,559,502,958,021,349,223,645,407,949,492,013,086,754,767,438,577,
088,340,009,471,318,682,020,393,579,440,226,781,618,355,428,568,943,609,130,
565,741,794,970,265,540,132,910,590,120,671,617,404,747,168,446,848,567,063,
487,623,437,376,536,104,636,838,924,114,414,738,553,424,402,674,812,701,139,
201,474,048,963,756,304,701,557,696,169,449,321,472,559,839,527,863,429,295,
647,341,766,361,282,694,955,961,279,512,466,355,390,590,428,213,504,617,129,
744,953,661,112,729,155,077,493,126,366,846,941,350,887,812,275,408,863,249,
885,003,566,782,213,236,630,823,603,307,906,996,360,608,402,925,069,554,818,
399,463,825,187,939,129,431,401,645,486,540,811,509,553,134,196,273,292,101,
194,103,416,679,724,712,507,524,274,349,534,377,122,500,257,462,009,689,247,
483,714,247,303,397,543,026,227,602,383,085,779,336,597,663,226,931,860,963,
633,878,959,700,815,208,600,166,861,523,080,927,328,242,473,209,367,775,201,
087,869,952,783,363,890,969,691,475,886,585,216,248,203,476,013,305,178,979,
233,369,377,671,310,163,719,210,515,812,997,589,129,415,706,598,110,756,439,
154,877,219,924,238,243,094,882,231,718,571,908,233,417,767,077,623,803,152,
145,477,068,382,957,015,755,727,864,350,805,098,362,901,638,259,446,935,863,
914,160,425,365,459,239,480,166,359,303,596,510,375,926,269,334,285,156,385,
862,461,946,373,996,119,335,506,129,845,979,413,509,567,071,980,359,104,081,
195,444,466,260,478,090,588,261,152,166,009,522,478,048,633,143,146,651,756,
386,939,629,427,218,559,621,603,481,557,866,079,887,447,388,397,920,448,319,
335,696,187,931,333,556,662,688,416,880,196,002,828,956,078,279,627,713,945,
099,461,369,105,455,433,156,589,518,201,728,776,908,459,264,496,666,786,470,
568,887,000,238,179,784,604,898,985,780,692,833,864,614,490,195,965,165,363,
609,370,857,247,999,362,746,948,454,880,458,380,797,591,795,799,304,482,560,
900,689,156,670,505,718,876,639,557,403,848,105,835,882,152,327,135,490,812,
288,571,306,815,396,750,312,183,095,076,775,280,111,942,639,946,715,713,131,
789,825,318,644,868,198,739,510,009,288,777,451,954,337,605,827,368,731,072,
767,800,490,052,194,667,549,918,972,096,932,324,093,655,963,049,517,473,721,
107,660,691,157,685,392,076,722,767,621,484,860,013,351,699,044,253,550,048,
598,201,020,789,347,928,753,982,064,797,075,936,275,097,032,905,414,372,659,
081,008,927,625,827,773,221,114,690,401,412,349,102,889,379,293,318,797,453,
321,347,637,953,225,692,356,660,157,950,088,461,454,383,015,504,703,921,160,
977,214,298,504,344,976,954,672,257,291,202,406,135,820,717,152,980,113,033,
699,555,761,929,741,354,553,665,742,582,540,097,956,071,269,896,004,092,392,
173,381,137,027,924,675,125,453,226,896,099,400,271,095,866,412,409,080,583,
389,695,396,395,511,793,836,061,390,044,972,759,181,871,751,856,315,105,426,
533,507,932,112,955,738,987,197,782,522,266,459,415,004,098,068,659,876,689,
606,971,265,522,708,042,945,772,205,922,446,973,167,314,906,314,322,423,649,
793,902,042,779,047,378,828,842,291,093,198,233,745,383,063,602,773,731,354,
805,285,002,062,167,670,007,454,706,179,200,723,657,728,125,808,583,126,155,
764,732,174,693,109,144,355,704,133,741,636,949,313,766,684,229,829,742,737,
785,225,566,394,683,948,739,590,218,306,879,095,859,979,962,969,946,383,719,
072,154,774,934,768,930,388,867,270,047,827,173,946,357,067,803,995,011,591,
967,640,063,314,722,898,276,215,050,934,527,424,650,657,318,126,020,909,390,
646,964,576,011,441,294,492,025,786,157,068,886,968,253,160,995,872,992,798,
864,628,225,207,885,919,269,191,493,694,264,701,459,015,687,785,684,139,320,
060,626,740,118,399,308,937,580,878,036,133,882,298,433,064,090,680,267,941,
742,317,104,937,754,508,658,479,994,793,852,211,350,573,977,196,694,758,005,
109,803,549,353,612,040,323,588,911,643,077,348,475,967,722,383,863,235,462,
932,741,735,897,047,511,391,480,371,931,526,914,997,887,653,120,467,800,352,
369,062,269,127,531,792,615,607,916,940,441,406,009,794,472,182,373,784,005,
557,821,641,566,002,938,877,543,896,982,198,432,414,450,783,389,531,976,822,
792,833,995,267,304,090,124,626,013,534,922,268,714,614,079,268,424,781,183,
922,896,288,053,353,878,251,231,078,197,187,293,802,053,217,228,437,635,808,
468,863,620,211,346,872,087,871,810,975,076,968,252,260,390,375,479,112,577,
937,068,381,719,982,015,172,690,466,317,471,231,826,147,111,105,678,399,738,
515,918,554,613,406,745,932,100,742,721,606,808,470,333,610,266,852,687,450,
764,247,214,531,445,581,948,017,247,614,405,299,893,228,427,290,585,976,294,
327,747,302,472,714,782,089,944,489,858,466,343,819,409,163,139,200,350,545,
375,091,533,081,868,459,487,431,097,104,592,557,157,367,860,735,800,923,190,
218,387,717,582,237,334,955,021,074,367,164,344,525,033,338,046,073,927,472,
507,453,390,866,501,002,385,979,525,146,256,882,205,934,270,820,537,390,169,
795,687,452,470,225,988,977,439,778,346,821,185,301,599,113,938,383,574,459,
226,152,571,857,039,158,880,329,441,866,209,399,766,158,175,176,444,647,110,
713,578,256,355,187,473,566,441,614,255,425,995,466,811,658,427,440,584,578,
318,835,778,715,668,175,040,275,408,394,640,176,161,582,320,949,332,280,575,
577,128,846,512,384,343,420,817,180,407,893,641,810,542,090,796,935,278,383,
548,205,013,348,732,925,557,790,981,659,008,653,866,466,966,896,727,398,284,
231,664,175,985,458,676,884,899,092,232,793,556,446,269,108,877,232,538,948,
224,004,802,070,641,602,223,666,368,354,392,207,281,023,519,302,903,935,654,
840,841,305,980,373,769,654,598,273,156,393,279,826,735,868,743,522,231,578,
240,884,606,612,789,160,144,139,755,567,409,262,661,312,331,569,124,394,413,
439,994,644,418,002,789,965,626,564,257,352,267,855,944,065,871,973,035,936,
317,037,031,964,829,400,098,555,803,166,231,152,591,119,386,872,168,101,897,
870,741,286,778,396,638,480,452,295,995,429,362,032,555,851,549,431,426,826,
383,964,857,784,214,617,266,639,452,121,115,747,048,744,049,146,219,858,520,
738,591,766,938,384,759,674,445,084,518,772,282,044,824,584,615,123,877,940,
837,963,971,812,822,465,314,618,744,745,934,722,692,469,883,337,464,151,865,
652,025,398,005,611,271,723,578,495,369,023,406,881,276,444,320,488,974,433,
114,475,846,948,860,678,068,746,477,046,416,389,128,946,514,184,611,557,632,
043,997,616,149,026,700,867,544,997,746,549,077,865,967,732,960,361,491,097,
133,268,039,916,014,840,461,291,089,436,204,489,516,500,823,292,583,191,766,
888,365,181,734,864,492,996,048,828,024,297,513,993,993,277,600,000,383,699,
980,808,407,144,951,865,963,019,600,322,273,700,319,201,464,058,047,245,411,
718,078,502,703,670,166,778,900,229,070,401,436,771,677,014,465,580,209,744,
784,218,552,512,981,146,315,756,588,449,674,948,358,198,412,595,904,985,054,
191,672,613,363,507,952,843,681,025,487,958,921,598,990,784,117,497,131,288,
802,766,409,690,307,721,835,189,138,226,988,442,018,997,999,029,801,602,240,
243,698,512,659,735,905,380,098,620,226,412,465,165,176,651,050,405,850,265,
232,214,674,938,562,258,158,635,325,649,106,082,236,827,638,051,663,735,044,
654,308,255,358,481,839,212,412,041,908,713,421,417,265,002,426,801,269,439,
233,504,441,016,444,832,627,653,951,627,336,686,089,558,797,274,731,392,073,
780,031,713,463,110,952,690,946,026,537,080,383,186,426,474,293,848,587,363,
964,801,103,271,110,599,153,321,674,189,231,414,825,808,324,406,860,745,895,
144,319,710,825,825,735,359,145,693,026,584,731,014,864,997,121,996,092,516,
601,220,754,086,756,449,075,805,300,039,497,521,782,813,399,874,389,859,096,
589,132,327,752,401,153,208,571,342,360,590,138,952,327,952,163,769,556,530,
219,678,582,704,715,615,999,133,109,930,187,653,605,033,139,277,528,090,294,
832,811,403,046,570,204,848,686,692,931,479,379,467,528,936,485,451,244,941,
299,676,558,816,160,337,639,915,448,880,441,792,711,904,387,930,262,063,983,
475,394,178,232,298,811,385,034,718,178,561,275,515,577,753,345,850,508,831,
554,721,476,096,640,778,776,981,845,569,313,882,939,411,629,522,880,022,258,
941,075,561,247,289,109,779,405,757,564,972,558,162,668,331,376,747,395,755,
824,550,336,592,684,172,268,304,705,086,898,806,347,631,324,443,627,361,142,
785,035,462,352,865,111,807,613,030,454,044,090,131,070,918,265,764,311,360,
815,243,410,344,732,306,026,998,748,002,426,695,109,568,475,019,600,731,676,
646,798,842,289,224,572,309,810,747,114,411,033,351,589,773,996,291,737,644,
686,649,929,008,481,548,562,403,868,251,868,029,416,103,074,879,535,171,108,
363,142,554,717,375,304,102,261,436,033,080,866,257,232,544,112,225,902,644,
750,416,278,383,268,665,792,313,115,196,470,376,690,475,479,918,590,392,898,
495,207,343,627,809,673,767,213,413,595,388,057,181,424,602,560,092,598,228,
008,716,489,513,559,101,948,456,519,540,387,169,036,746,838,349,716,830,825,
187,398,293,377,824,090,635,345,341,106,846,529,043,935,986,868,487,101,364,
493,949,913,663,081,238,712,991,729,208,482,604,938,354,554,988,768,645,614,
130,848,283,140,397,704,490,282,337,821,850,868,276,613,773,315,517,161,976,
563,834,794,820,310,159,294,323,608,285,597,317,478,103,530,901,284,441,762,
989,504,219,998,257,024,442,133,296,585,498,084,178,884,582,145,539,690,477,
865,685,537,101,879,100,682,158,447,440,059,606,265,779,090,210,176,180,503,
301,732,129,829,447,089,818,842,719,077,827,258,240,181,021,357,549,375,102,
156,151,608,969,792,443,735,078,195,141,448,493,882,682,572,177,754,189,002,
019,043,907,619,511,744,500,282,700,398,794,124,582,775,041,123,794,973,980,
767,858,040,811,555,700,772,838,675,361,160,420,126,747,501,652,662,714,739,
921,677,735,691,816,456,285,661,060,107,579,471,770,103,140,975,081,553,627,
120,403,869,105,442,199,339,846,832,618,511,319,030,841,741,352,015,182,160,
580,659,565,073,042,805,638,450,104,052,774,800,851,258,792,989,691,009,597,
046,200,236,095,256,604,747,126,542,951,324,592,625,495,597,392,399,936,788,
504,692,222,349,381,468,071,166,690,579,975,694,280,916,692,995,617,690,192,
237,259,350,637,224,665,749,066,340,461,118,266,472,412,194,733,661,382,708,
533,889,871,689,407,541,497,622,167,008,205,798,909,009,275,360,916,059,919,
666,252,980,400,940,536,820,248,519,918,993,246,583,915,506,678,276,016,940,
590,769,152,553,954,925,061,570,126,064,575,066,013,781,635,218,079,459,890,
226,619,997,396,254,006,404,184,333,814,834,138,927,998,719,780,116,517,747,
255,391,511,429,557,681,540,661,353,002,968,060,532,872,318,100,895,531,118,
240,899,357,169,683,878,200,535,429,456,748,091,086,187,232,839,259,378,756,
719,450,033,698,217,936,876,423,217,166,668,310,625,993,606,213,647,726,912,
409,958,129,690,949,874,904,883,603,734,245,578,331,164,761,573,468,143,514,
902,857,864,023,813,610,014,699,143,862,617,377,615,115,612,268,890,454,703,
961,249,607,369,751,238,440,344,666,626,261,837,142,467,451,251,170,960,590,
189,104,100,323,555,200,359,986,121,201,556,681,585,101,868,776,325,142,630,
929,572,789,999,124,154,309,226,814,576,001,313,149,178,921,468,698,781,097,
341,182,018,387,443,194,207,824,879,074,628,798,923,964,709,668,348,976,106,
538,467,360,287,841,581,769,379,184,568,989,863,731,850,846,140,733,954,080,
778,823,508,917,862,132,937,178,747,068,661,282,932,765,540,211,184,057,888,
322,771,664,427,836,037,735,796,338,143,011,080,206,939,940,071,641,533,994,
122,211,675,869,458,880,353,465,218,076,747,532,206,829,174,367,687,113,048,
886,073,276,918,239,359,827,069,962,384,618,123,985,096,931,409,277,077,681,
112,634,256,024,440,046,476,827,706,932,019,056,620,849,100,007,037,401,480,
566,322,675,834,912,168,221,369,715,583,700,559,120,307,446,856,020,080,347,
034,606,272,849,039,796,540,909,918,357,543,049,442,793,057,204,833,697,204,
378,839,206,200,325,283,737,260,710,175,071,072,598,064,089,151,492,453,952,
230,788,644,684,305,664,100,419,678,796,001,288,692,837,497,551,349,290,850,
701,422,277,230,695,808,376,923,951,677,785,436,807,294,605,338,419,003,645,
252,188,838,608,923,903,082,954,088,552,890,226,996,393,297,609,383,134,862,
297,204,622,396,719,848,414,451,866,650,229,656,167,420,098,609,532,447,191,
652,487,974,301,794,866,443,199,624,510,732,913,008,251,366,891,565,762,947,
751,011,227,953,052,839,674,211,434,739,968,087,477,189,785,256,558,948,289,
447,147,922,891,396,418,822,249,720,183,924,648,475,406,775,748,736,063,132,
917,017,987,058,764,025,270,151,132,974,054,860,275,415,324,113,512,315,488,
796,105,262,137,716,568,986,331,893,265,564,662,968,388,226,507,123,317,404,
799,564,179,523,095,634,296,311,466,469,446,479,983,023,789,976,394,637,190,
851,017,289,268,891,581,276,166,137,927,521,176,216,121,545,357,629,567,907,
384,220,096,751,188,579,937,250,757,611,227,116,666,342,849,143,393,474,791,
132,753,648,132,943,913,164,991,554,235,774,762,667,237,645,421,465,085,694,
757,556,033,743,004,149,852,614,893,443,294,172,781,435,901,905,699,023,306,
359,811,331,257,545,670,532,495,024,383,407,699,681,971,952,300,432,256,285,
565,758,984,244,084,344,504,101,583,995,388,922,422,004,712,759,871,036,722,
760,819,370,579,961,022,991,449,999,391,236,822,982,253,880,413,649,009,190,
407,250,006,068,705,446,957,458,204,759,270,569,539,079,436,483,825,481,127,
344,996,169,058,160,649,842,810,837,351,552,063,547,910,354,720,632,752,405,
102,600,616,998,584,430,696,426,536,518,187,440,278,937,937,214,176,202,639,
415,775,653,239,379,665,854,153,857,907,546,872,633,459,386,061,958,517,423,
431,144,298,758,945,461,682,138,956,121,925,749,060,767,125,554,022,090,151,
033,381,330,085,627,810,517,909,121,545,317,801,172,232,921,862,302,836,122,
060,134,441,554,690,588,405,521,067,095,617,699,978,007,615,754,998,308,582,
982,306,036,512,953,817,834,443,717,629,115,273,026,440,378,733,322,243,573,
834,011,041,219,406,595,555,319,710,786,033,620,623,703,340,111,347,250,821,
329,997,063,114,842,633,460,061,658,463,598,705,722,066,714,066,150,144,229,
878,729,052,693,843,920,453,084,609,840,074,160,267,543,569,689,793,665,847,
760,603,229,048,802,052,561,363,948,957,562,690,953,117,801,930,790,681,840,
928,028,716,587,813,452,727,586,531,749,743,859,964,133,553,950,610,598,132,
671,613,525,487,051,487,154,031,974,374,252,604,787,780,024,199,657,535,600,
183,803,578,628,244,330,456,944,232,081,046,540,988,212,923,679,759,428,035,
780,820,523,073,171,013,219,780,183,737,046,581,394,479,738,118,478,406,501,
406,191,361,460,507,578,961,964,634,014,616,672,000,779,117,612,309,843,650,
876,197,410,799,409,105,032,364,426,631,274,926,619,978,641,508,235,348,831,
265,735,551,719,788,718,473,166,854,197,629,619,317,006,668,708,951,079,458,
632,017,848,012,210,144,202,221,995,557,734,116,488,717,170,694,311,545,612,
363,574,237,091,245,445,796,419,750,591,049,698,120,695,927,711,385,973,646,
901,274,386,128,260,308,709,262,207,385,316,648,653,140,028,521,793,441,762,
014,570,007,887,034,803,997,741,151,362,884,999,676,009,352,311,105,160,587,
291,860,423,282,125,480,541,184,135,412,676,102,868,959,164,133,354,453,919,
106,887,331,898,384,559,400,454,459,515,133,086,029,509,502,791,719,233,924,
740,941,016,823,899,970,389,951,537,967,656,622,826,230,612,618,100,288,047,
921,844,909,620,231,247,994,521,242,287,448,369,237,967,727,916,010,037,323,
501,587,782,599,485,063,974,157,835,494,702,493,228,123,963,054,885,246,771,
768,677,901,606,778,060,096,335,971,648,986,393,546,314,210,614,820,045,993,
131,768,791,474,392,530,729,806,413,861,510,741,127,245,926,876,342,385,447,
334,509,383,781,875,187,797,518,222,626,024,761,952,850,321,725,641,904,573,
200,238,369,404,371,242,812,070,335,546,440,753,937,453,993,384,010,622,519,
882,257,012,811,023,361,290,292,124,609,478,924,164,319,066,878,028,826,249,
780,527,777,281,389,427,563,031,205,646,848,372,989,556,636,143,777,200,205,
868,538,059,657,598,712,198,339,730,007,909,709,620,143,940,363,580,975,544,
998,113,962,558,511,436,274,223,727,626,395,334,966,094,738,466,421,044,191,
507,665,980,588,268,289,268,132,560,286,466,682,992,531,798,156,615,373,307,
619,440,818,362,258,090,827,925,865,767,910,960,850,423,222,740,953,251,898,
297,066,476,076,857,949,559,900,107,085,450,436,445,304,016,874,966,794,093,
273,759,720,165,101,774,869,725,341,533,679,641,405,530,009,875,870,202,360,
679,734,296,647,297,246,144,017,345,048,176,707,552,001,478,392,436,466,118,
506,523,677,959,071,695,221,141,081,749,156,255,067,807,809,260,872,957,727,
503,764,461,145,921,782,589,938,775,579,268,905,599,344,367,926,119,436,955,
756,821,766,800,854,423,242,160,171,124,642,275,735,242,290,327,862,994,061,
579,431,290,500,496,952,251,273,580,688,984,576,599,566,209,011,877,393,127,
605,313,154,816,841,479,260,695,788,653,044,688,986,315,032,237,316,593,670,
661,287,500,936,084,494,613,813,605,860,170,820,641,358,981,223,091,940,752,
070,195,865,897,195,003,998,165,186,739,566,109,866,775,686,249,507,032,807,
144,443,039,442,799,320,376,911,809,734,593,210,116,754,680,199,031,254,773,
882,315,927,771,086,112,725,836,541,504,327,288,271,542,539,942,025,458,393,
726,568,449,611,890,107,440,282,221,573,813,666,629,261,091,579,527,430,236,
086,167,515,532,649,173,173,705,991,660,077,894,117,334,302,708,809,327,677,
090,727,900,421,891,048,355,634,853,778,974,917,376,019,800,497,080,193,812,
934,886,769,815,292,919,907,483,429,003,029,701,857,945,325,706,023,195,165,
073,734,463,939,026,067,623,788,143,378,623,112,690,991,069,966,525,703,234,
011,353,252,627,343,371,435,376,075,707,741,048,099,458,176,739,378,364,435,
585,928,651,888,110,343,361,925,187,665,793,441,861,063,503,297,125,551,871,
552,006,105,846,081,120,982,092,027,662,474,860,262,286,817,252,603,859,726,
685,695,601,989,820,291,954,709,831,829,232,729,411,737,410,119,598,925,355,
996,489,132,041,937,563,033,397,252,020,756,483,684,284,911,006,244,955,953,
075,640,471,325,099,482,809,438,934,571,624,760,461,504,218,623,387,504,769,
878,657,345,537,257,860,470,606,216,532,274,920,971,109,000,135,615,625,971,
716,552,274,713,843,257,904,975,909,992,779,666,934,284,057,297,607,311,758,
870,106,845,613,726,503,485,120,923,563,558,768,596,985,734,052,201,005,661,
232,821,537,082,124,004,737,003,691,406,990,583,226,464,819,487,630,493,277,
389,294,784,174,625,931,792,312,364,839,253,956,971,754,533,484,028,475,458,
625,174,449,081,804,066,016,273,717,386,230,063,811,389,003,060,320,906,736,
522,649,983,154,180,299,700,887,363,619,233,485,229,757,400,001,243,342,901,
495,057,857,605,423,501,608,348,923,832,572,087,537,286,052,620,044,967,112,
381,105,018,541,665,568,349,653,364,977,213,957,791,671,450,121,097,175,404,
461,081,611,137,996,410,348,668,730,713,849,562,771,584,935,105,055,138,404,
105,656,891,528,420,114,739,257,854,648,331,548,183,886,234,293,301,904,918,
644,981,002,128,122,245,537,491,179,365,401,187,498,285,902,917,052,476,287,
677,716,439,806,365,314,301,139,450,881,460,326,483,512,672,415,381,217,519,
874,945,434,083,598,038,954,314,489,392,350,543,582,232,333,994,149,834,088,
207,412,842,538,305,595,516,992,082,268,626,747,672,343,581,400,672,070,993,
227,926,540,915,301,528,030,276,006,849,771,587,747,927,045,776,471,135,965,
329,255,469,649,625,836,992,819,252,321,140,342,853,405,659,666,582,405,891,
482,594,167,259,567,278,313,062,005,759,760,306,380,808,592,746,394,497,817,
787,564,992,992,588,300,489,772,059,227,051,976,835,190,128,076,035,326,193,
241,158,615,346,706,631,622,334,947,241,305,823,626,643,978,542,697,723,769,
279,201,242,114,039,950,844,244,151,063,307,693,881,758,205,738,860,723,048,
547,992,923,499,152,483,868,540,506,403,686,105,744,427,861,630,979,559,167,
212,300,767,163,772,027,433,436,339,747,208,731,707,590,012,246,708,305,905,
263,283,834,260,405,108,803,007,508,488,444,664,083,654,398,841,976,676,343,
760,970,750,161,615,164,578,073,000,893,027,616,494,119,293,647,806,381,717,
483,224,958,788,051,312,334,577,176,838,334,161,553,742,819,848,302,543,124,
284,495,062,991,104,809,732,678,187,132,702,019,595,599,661,341,790,821,190,
563,449,683,795,443,232,736,100,617,461,687,165,598,469,924,569,796,372,527,
290,494,210,230,617,518,050,461,527,011,722,063,331,735,455,078,069,960,011,
238,673,107,263,282,446,201,583,999,780,733,116,715,526,349,327,546,171,319,
504,674,058,187,693,777,003,114,699,464,586,988,866,117,395,684,993,460,162,
198,072,461,028,218,390,870,957,897,299,136,071,486,446,725,446,044,484,516,
814,235,291,488,311,546,750,172,093,176,525,130,141,397,605,462,895,274,913,
500,532,798,511,949,586,513,515,359,702,202,144,081,622,919,053,998,622,742,
153,371,710,942,261,066,088,688,625,877,357,739,767,426,603,876,855,900,998,
326,767,939,367,758,319,280,583,896,385,417,983,096,657,325,797,925,235,199,
973,702,731,087,436,595,261,600,022,303,893,902,269,685,488,741,327,727,101,
153,393,195,699,507,652,308,861,733,835,872,729,807,897,400,222,012,810,422,
196,318,946,203,556,447,598,152,646,470,721,955,819,292,582,017,300,709,910,
855,334,176,647,861,150,803,234,513,625,301,925,192,168,282,513,646,764,367,
603,843,943,447,392,194,250,305,589,832,417,578,579,458,307,510,306,720,522,
639,627,080,259,233,383,303,638,550,890,098,371,916,831,452,378,834,483,754,
825,776,712,893,519,082,090,642,384,444,049,058,320,303,445,183,226,472,103,
764,267,673,571,089,831,784,978,211,711,665,346,206,347,117,309,458,220,798,
859,079,884,805,691,461,905,159,483,626,077,876,260,281,984,908,149,775,990,
597,260,428,931,883,585,184,736,488,726,069,622,803,438,872,946,636,066,899,
038,009,653,385,342,791,244,021,877,146,999,330,288,649,701,917,221,165,545,
909,050,903,379,554,139,934,608,020,771,015,533,269,006,621,012,648,650,402,
517,355,809,784,014,667,351,312,481,224,239,790,590,242,471,207,091,854,440,
871,998,456,225,430,062,740,457,637,343,850,863,492,477,436,309,393,165,014,
551,505,253,737,520,313,613,424,317,908,233,595,974,821,201,053,983,294,485,
609,510,497,436,085,910,380,241,786,409,133,531,504,178,496,886,329,046,423,
796,777,256,188,111,044,836,441,928,524,640,342,444,798,837,310,591,258,746,
135,416,075,439,339,337,556,640,476,487,626,667,353,562,800,019,782,755,734,
454,091,410,163,407,429,749,706,157,293,541,359,351,797,873,943,442,007,962,
452,796,488,954,088,115,628,215,772,677,267,898,259,435,116,063,174,002,917,
112,142,636,233,934,253,941,051,510,319,860,783,045,135,612,097,559,997,512,
101,076,124,615,555,210,345,102,770,001,876,067,154,120,947,805,563,640,424,
386,859,814,867,926,996,981,306,009,867,753,429,542,397,596,806,011,417,065,
166,314,619,720,628,361,417,481,945,299,973,204,279,196,499,145,927,436,475,
360,379,469,795,972,108,481,736,026,168,479,004,577,028,072,372,627,661,386,
175,583,010,756,924,544,891,756,764,172,520,726,641,377,487,363,508,053,962,
296,457,294,810,346,105,805,298,637,637,033,412,916,664,145,264,283,176,560,
387,132,065,214,490,684,590,547,152,503,288,801,343,317,872,228,706,053,204,
530,007,019,641,071,104,272,780,942,540,591,224,476,583,114,802,966,657,573,
953,701,537,578,184,227,919,125,144,981,483,052,588,370,156,436,556,083,615,
203,813,865,091,739,262,159,326,947,450,245,340,686,809,560,590,811,584,306,
030,213,668,037,813,755,232,798,284,611,743,894,871,450,011,971,892,575,052,
899,338,820,309,581,998,182,261,567,425,818,350,755,084,344,373,775,245,351,
988,400,320,568,802,366,523,468,516,115,871,091,440,350,049,587,823,571,763,
872,976,806,616,754,384,085,164,023,535,251,862,554,475,720,517,611,852,804,
690,740,659,637,501,644,140,630,603,129,718,101,214,665,845,802,918,373,776,
009,552,921,340,745,758,664,868,171,177,872,711,024,006,550,557,713,457,902,
926,239,284,411,724,560,750,793,165,470,526,923,845,230,218,504,142,404,787,
491,231,489,723,150,218,611,057,291,974,629,889,632,191,236,506,903,768,317,
314,392,547,259,689,631,399,693,526,421,380,587,792,309,983,960,942,088,673,
562,565,525,216,716,497,620,359,509,335,771,927,910,433,746,771,097,859,350,
644,760,644,080,079,550,684,673,049,678,429,961,831,576,670,646,419,939,779,
486,876,091,887,587,942,166,775,311,593,337,414,816,810,734,396,536,492,353,
005,551,533,310,357,717,441,934,989,375,575,811,261,851,354,616,543,824,665,
417,298,018,917,877,094,878,504,069,595,842,595,966,070,409,589,356,237,940,
456,947,713,807,745,699,850,597,497,605,701,841,482,354,352,552,586,083,355,
730,070,974,846,045,052,988,707,187,807,614,061,406,662,947,060,725,241,599,
649,440,027,433,288,705,235,304,534,770,255,809,884,317,605,572,931,982,953,
250,724,764,469,797,418,210,377,666,841,134,474,718,308,602,430,531,881,242,
527,334,202,251,211,716,352,995,868,723,569,599,709,688,953,540,809,982,880,
724,684,316,924,540,426,263,570,787,286,762,169,604,959,060,994,499,163,820,
850,004,858,397,832,828,766,612,695,488,857,083,109,652,065,842,224,974,016,
467,170,844,934,312,326,477,540,154,849,894,495,902,096,900,049,386,769,233,
867,854,285,122,244,326,590,041,673,920,741,687,848,323,664,639,963,762,584,
153,558,763,976,890,770,711,499,745,449,146,236,397,920,884,552,213,625,616,
260,184,186,646,116,356,478,049,541,729,086,476,362,221,475,156,795,564,594,
991,789,613,516,706,278,767,946,754,171,872,569,057,660,748,097,833,418,767,
074,200,884,475,870,157,973,571,827,726,562,927,601,810,558,148,134,050,874,
362,111,114,631,039,672,063,757,467,615,763,767,720,210,793,331,096,472,909,
576,118,864,618,548,479,191,930,596,880,399,116,775,818,422,575,814,023,548,
886,768,052,481,746,606,101,741,304,652,734,839,592,703,479,836,011,394,649,
415,704,246,334,166,814,615,313,600,690,670,443,025,896,608,471,091,637,695,
258,824,743,345,313,924,734,622,029,293,456,659,175,971,417,890,639,265,808,
215,849,025,806,329,224,689,723,202,568,868,825,055,332,434,339,413,483,147,
241,220,632,263,497,244,338,113,707,868,054,586,382,712,400,595,173,747,401,
970,632,391,530,833,979,048,547,160,684,024,905,940,344,725,725,934,670,203,
267,414,936,221,425,592,681,369,262,735,956,852,433,409,839,995,064,748,474,
050,324,443,789,085,860,428,037,549,751,745,348,749,516,441,728,231,482,032,
771,818,574,519,408,830,593,146,776,708,611,988,318,775,160,858,824,559,634,
234,078,244,737,700,818,931,245,278,284,320,885,325,462,682,331,467,949,989,
149,443,436,849,407,804,959,844,027,544,098,349,245,913,706,290,210,471,681,
311,356,346,106,296,435,181,970,121,757,735,323,541,027,080,256,113,251,553,
408,570,923,131,582,819,518,464,197,750,384,558,109,474,366,220,886,720,695,
199,573,404,790,924,450,201,497,831,375,666,010,170,022,882,811,118,110,242,
976,427,357,968,167,869,822,730,718,215,861,183,343,280,269,259,445,282,495,
977,971,205,145,894,144,453,603,141,546,128,876,633,085,784,353,775,776,573,
491,802,612,398,031,773,636,270,399,984,890,762,804,170,255,019,982,476,205,
924,621,174,157,383,355,084,559,794,907,742,215,782,890,252,756,890,095,190,
800,681,127,728,153,201,298,108,687,653,826,532,023,192,220,992,354,357,878,
375,122,573,437,250,462,521,088,431,386,805,998,753,017,302,647,007,406,445,
899,322,576,982,339,545,056,699,152,952,774,444,696,330,708,290,138,230,146,
230,011,038,057,061,972,103,066,024,337,832,925,658,647,952,268,979,449,013,
521,237,886,706,692,103,797,985,924,650,905,193,979,192,790,319,071,899,328,
555,144,152,217,376,938,882,099,199,643,057,724,436,095,095,122,889,471,186,
774,675,344,564,990,001,363,936,396,464,364,288,704,453,272,695,589,687,968,
677,447,331,272,549,587,554,161,173,526,491,719,881,902,011,860,908,993,853,
940,443,194,819,399,513,548,831,855,277,896,239,611,301,960,372,260,991,874,
106,874,456,208,829,645,485,182,862,737,465,591,466,726,008,236,781,633,557,
763,745,107,648,769,393,206,920,851,947,578,313,938,468,437,755,450,685,049,
704,827,118,875,051,068,956,653,107,401,328,796,858,574,218,653,334,648,784,
822,384,296,199,225,814,017,323,710,673,197,560,026,238,669,524,068,609,611,
949,405,768,775,882,474,934,531,662,011,019,642,788,847,479,317,962,498,615,
286,479,898,275,522,967,900,173,704,427,862,046,357,636,075,736,753,145,536,
727,119,179,910,933,866,336,817,789,714,877,546,794,365,301,563,125,037,615,
538,500,952,177,535,937,487,343,438,574,054,703,791,438,308,824,473,829,525,
112,018,710,015,226,480,938,220,754,824,319,240,122,617,954,666,205,393,359,
084,318,763,055,558,074,505,098,648,950,721,737,143,817,820,251,362,385,194,
983,156,383,480,570,818,230,642,868,763,886,852,011,318,040,262,955,542,260,
097,915,320,442,776,232,081,039,530,720,506,284,618,389,883,172,482,032,885,
376,506,197,923,982,325,049,487,804,978,592,830,631,714,501,476,214,171,666,
694,718,681,807,857,177,746,817,150,487,412,804,678,016,008,633,176,844,166,
377,852,011,447,647,548,221,052,970,273,759,241,308,491,917,293,924,928,907,
350,668,962,691,438,099,460,300,673,193,049,011,705,821,438,103,917,112,736,
102,388,976,705,512,797,360,248,982,860,133,037,997,963,579,618,549,167,626,
298,471,946,209,232,111,069,275,107,226,357,812,739,629,471,410,424,793,234,
648,732,616,148,119,026,560,956,102,225,097,072,377,828,323,713,271,237,244,
462,729,840,433,905,617,085,816,622,130,788,904,809,158,210,272,308,129,519,
654,659,700,444,749,905,257,792,718,028,847,047,268,954,021,516,422,570,334,
264,489,348,769,361,006,309,308,896,324,371,316,588,151,984,768,708,466,067,
398,739,842,604,349,465,253,536,280,908,327,798,312,838,991,064,183,016,892,
497,667,411,349,378,817,596,124,279,611,880,243,513,052,809,381,081,445,343,
647,196,529,455,181,659,428,097,290,753,739,549,442,012,506,903,551,877,845,
670,204,474,663,310,576,237,693,567,857,908,016,322,878,050,901,775,383,741,
046,768,693,572,388,557,823,463,505,659,797,123,331,871,970,423,458,817,530,
517,650,877,224,870,058,169,146,758,096,739,102,734,196,037,331,960,897,990,
164,847,036,946,932,212,754,475,473,046,092,546,497,912,385,922,813,151,312,
157,424,634,744,869,328,767,800,095,529,520,009,106,303,895,954,016,070,968,
553,605,881,973,432,970,008,067,595,140,471,126,939,041,293,485,002,461,376,
015,924,746,768,484,015,982,945,929,795,183,745,600,246,618,600,628,217,093,
362,822,310,627,667,646,316,330,989,763,324,524,179,228,306,572,029,018,557,
031,806,664,903,843,962,290,347,369,803,294,328,925,062,641,494,377,203,628,
325,097,434,047,670,887,964,970,200,440,319,552,075,286,639,554,413,971,629,
101,449,862,568,954,820,327,698,584,644,730,125,173,146,476,100,566,107,174,
772,124,440,815,384,889,115,448,680,036,044,801,828,785,316,261,075,527,474,
074,741,478,036,643,780,545,721,762,726,189,106,726,388,723,231,716,447,790,
553,236,966,232,251,474,234,546,917,053,584,310,887,480,836,471,843,117,763,
674,589,694,098,188,821,499,556,075,969,788,430,939,985,233,837,134,666,688,
383,857,223,707,900,780,344,902,479,861,990,068,521,192,739,312,251,732,766,
412,378,582,791,066,252,587,233,296,788,569,225,866,875,929,010,285,752,206,
697,526,372,707,641,739,154,402,378,517,612,833,393,053,741,969,818,348,105,
112,525,892,735,497,919,873,262,484,178,131,984,944,062,665,039,657,911,248,
288,939,077,396,572,987,337,250,475,121,687,390,506,345,300,810,769,525,226,
388,703,558,957,050,303,843,965,301,257,259,637,079,742,830,086,094,406,520,
075,746,523,878,633,240,584,355,090,729,244,740,709,656,679,268,497,444,879,
310,287,058,155,405,128,751,657,765,956,687,002,543,202,920,491,154,454,426,
524,824,406,166,089,390,784,639,151,062,215,149,784,408,484,187,223,090,720,
010,401,688,851,628,444,352,902,637,477,615,086,949,349,081,610,913,009,209,
848,304,078,641,539,150,210,572,725,871,598,534,835,983,260,668,378,201,365,
495,942,035,841,635,575,699,759,910,470,086,603,411,709,187,933,885,390,304,
385,346,967,002,097,316,337,171,520,129,337,636,724,449,409,059,242,738,612,
095,792,829,943,271,530,435,497,142,651,212,941,989,035,743,557,589,235,991,
795,231,232,175,062,401,398,686,637,080,073,204,202,483,986,713,148,567,541,
230,671,619,822,914,818,267,567,399,038,965,413,261,425,711,586,655,744,379,
529,807,282,553,310,832,365,625,929,394,605,853,712,328,970,975,392,087,100,
626,261,465,643,029,971,089,879,361,470,269,150,916,282,534,361,831,992,386,
893,843,246,671,663,354,974,899,963,679,202,626,871,469,234,631,596,487,674,
097,784,594,028,209,371,336,226,633,046,826,969,985,541,957,325,989,455,678,
390,997,999,673,801,624,266,069,601,332,383,372,238,091,762,035,487,408,697,
593,947,258,617,980,326,521,339,605,546,539,825,840,885,614,903,092,240,267,
043,779,801,941,151,597,919,632,567,361,197,060,676,216,981,657,819,856,208,
925,643,174,935,081,760,175,630,020,283,138,727,741,031,096,715,524,921,216,
757,588,410,073,067,911,815,887,264,840,474,077,776,203,018,541,725,460,353,
821,787,164,393,551,346,921,573,787,654,518,106,708,790,024,188,785,935,520,
483,390,752,485,781,054,566,022,342,246,334,576,939,591,064,867,939,846,462,
208,177,307,337,366,585,220,877,303,423,968,036,662,866,510,847,409,815,842,
097,521,702,488,163,276,987,123,246,601,751,079,591,684,670,466,360,621,074,
898,780,828,493,442,839,184,114,315,681,404,184,191,840,422,974,800,955,255,
384,805,095,729,925,000,986,116,414,366,263,910,527,063,367,660,969,472,556,
729,017,724,509,379,524,272,732,572,857,571,731,582,063,685,681,985,109,075,
163,805,633,338,427,833,437,308,567,299,756,855,554,104,601,270,726,241,839,
859,443,397,251,207,728,738,060,618,690,715,482,875,203,448,119,314,582,962,
027,079,339,687,157,532,486,291,406,997,715,881,298,220,987,480,825,269,805,
592,294,610,561,800,886,161,024,561,104,652,426,358,931,397,232,150,534,181,
838,855,479,906,219,775,795,575,474,535,914,690,297,443,332,438,116,621,559,
340,633,488,556,457,394,560,550,351,814,638,057,338,170,375,525,809,913,029,
699,306,437,030,047,185,593,873,525,066,997,824,156,864,021,800,168,860,232,
847,884,900,954,397,753,998,631,990,258,680,563,957,312,414,763,324,404,530,
005,558,573,047,092,219,167,515,441,955,719,319,006,193,608,963,644,230,621,
715,481,270,451,869,020,103,168,780,568,871,055,469,167,878,748,545,874,658,
382,756,915,310,070,415,239,979,910,072,495,985,386,273,863,558,710,010,502,
973,423,908,168,974,044,091,089,589,773,850,761,872,110,533,834,371,351,480,
963,781,762,457,355,756,179,841,183,525,443,779,343,609,840,459,051,618,452,
734,057,054,826,847,269,885,157,410,132,860,431,307,174,291,066,647,988,015,
659,578,208,021,764,125,898,181,989,315,468,311,747,853,030,657,615,989,430,
528,105,324,186,048,052,396,504,398,168,024,335,664,529,527,688,961,119,789,
093,276,771,317,047,534,919,547,041,920,355,274,803,673,194,271,022,883,280,
003,721,981,531,070,510,619,302,252,973,394,662,310,659,122,215,082,597,518,
876,436,507,189,556,776,296,165,356,341,411,582,366,014,424,727,158,175,638,
722,638,794,684,425,683,570,472,872,758,305,319,788,346,091,204,926,151,844,
175,396,272,904,238,241,142,164,091,078,140,993,922,986,862,327,415,466,229,
988,407,830,169,173,774,211,266,669,775,355,782,415,428,877,136,829,042,169,
272,464,487,093,491,131,063,030,608,340,066,446,630,255,238,530,684,905,242,
356,060,910,296,828,907,702,300,426,396,360,678,727,780,028,321,336,260,016,
790,377,346,086,072,329,493,655,547,342,591,890,982,704,141,003,199,245,114,
085,606,608,485,121,439,474,051,687,801,087,182,999,971,617,776,353,185,557,
834,405,954,097,594,741,324,983,234,151,696,050,742,802,903,845,567,764,774,
036,290,642,912,036,019,804,507,984,317,567,642,102,290,667,153,899,874,770,
672,840,579,660,008,990,207,669,053,727,801,354,692,744,996,685,076,086,137,
833,966,012,780,960,591,364,349,974,246,096,295,877,966,823,142,207,576,291,
500,691,521,022,339,078,650,263,778,201,935,530,400,907,756,597,860,838,838,
899,173,761,836,399,305,753,049,310,146,719,908,037,827,002,494,110,482,289,
355,599,145,272,967,692,330,320,720,999,262,379,890,909,725,457,448,239,041,
621,133,586,476,360,858,202,538,275,289,717,492,098,278,829,359,795,329,499,
039,454,815,464,676,368,677,651,764,389,185,005,801,764,256,524,570,667,167,
398,177,810,553,748,530,659,092,871,003,943,883,935,796,812,678,082,993,996,
668,868,871,880,217,976,160,856,230,496,106,340,411,888,937,753,588,153,077,
912,730,064,054,546,226,390,659,976,538,348,678,434,348,742,152,152,543,813,
085,853,284,872,180,100,332,038,859,523,453,065,506,588,813,836,819,440,050,
900,667,515,462,605,855,506,574,765,649,448,777,252,915,540,463,736,314,418,
835,624,477,562,631,258,489,645,527,122,064,861,249,143,972,513,427,085,163,
918,759,119,607,074,704,660,231,472,698,749,926,569,474,437,886,860,068,502,
506,855,586,020,477,791,883,724,166,760,606,944,273,848,858,136,554,117,500,
527,483,346,792,139,916,261,300,631,388,126,754,469,956,511,710,540,805,679,
898,244,875,246,413,619,100,999,205,475,113,069,095,505,514,485,336,503,696,
792,194,726,040,220,873,815,771,225,596,396,903,658,882,094,026,145,657,075,
804,050,644,310,470,607,965,701,362,299,686,266,348,139,908,215,433,296,212,
544,323,918,871,304,021,847,385,851,532,087,386,721,221,059,829,643,315,857,
746,251,739,145,635,297,881,175,754,024,325,202,374,736,380,747,646,618,823,
992,303,799,579,496,460,013,999,370,499,824,840,848,020,546,866,488,466,312,
792,418,959,872,415,573,449,099,993,759,123,789,879,963,333,647,750,246,146,
683,461,843,137,503,858,936,679,492,742,974,911,962,375,967,516,655,494,061,
804,239,369,517,218,111,517,724,796,391,714,726,439,278,559,139,383,577,387,
495,990,767,407,647,286,051,508,650,330,783,954,812,079,854,706,689,072,474,
099,525,557,509,368,311,987,238,516,632,727,771,902,000,131,573,409,317,046,
407,140,661,088,709,152,033,589,222,843,745,893,412,186,528,706,224,633,471,
544,011,926,636,721,041,402,779,437,289,995,222,165,029,873,054,570,406,318,
602,909,761,287,843,299,875,948,094,117,009,166,155,184,687,888,473,669,034,
805,867,735,402,630,682,138,425,534,463,070,305,947,740,665,900,589,392,176,
076,739,026,983,631,166,502,335,399,188,408,149,146,823,696,346,975,646,392,
476,723,955,731,285,218,356,462,146,964,982,808,302,397,989,682,686,961,943,
393,377,632,054,721,936,257,275,438,999,632,587,127,575,645,104,920,690,381,
377,160,517,888,199,734,549,013,177,526,330,314,934,995,251,185,192,641,925,
990,285,389,236,819,638,295,172,137,286,390,241,193,018,610,730,665,367,936,
219,818,189,569,796,352,513,738,460,171,281,781,468,015,487,374,301,401,803,
379,397,855,048,407,188,551,102,209,386,081,969,594,903,610,075,375,564,362,
705,853,276,022,430,781,218,327,795,968,063,136,922,190,820,935,008,581,821,
297,374,743,769,803,839,902,495,941,473,733,937,356,807,926,966,355,129,835,
946,770,285,847,673,979,652,646,427,325,530,281,248,981,051,835,465,234,742,
508,649,878,577,817,575,556,514,428,100,389,349,349,245,692,490,848,389,355,
816,039,105,555,279,849,132,525,228,125,094,141,529,982,180,487,356,663,373,
214,545,763,069,276,318,799,415,255,961,325,795,215,472,328,889,581,470,309,
426,352,785,174,131,799,474,941,537,498,265,716,111,120,090,292,807,187,582,
606,491,188,051,581,351,561,706,484,019,661,136,789,173,678,618,043,187,157,
058,755,109,568,238,231,209,041,246,600,015,595,278,608,373,743,446,878,941,
179,603,960,671,954,998,606,246,286,532,278,279,342,786,049,097,208,840,841,
082,983,068,885,642,849,717,607,267,290,735,473,181,190,366,015,144,084,452,
219,024,135,892,958,157,302,034,712,562,261,773,429,132,001,030,363,028,575,
817,376,010,607,519,698,679,330,324,464,470,545,457,792,041,552,258,281,477,
561,903,056,415,140,293,804,954,498,887,526,856,024,941,721,248,772,638,751,
168,482,517,818,585,238,716,424,724,023,002,329,739,999,123,037,009,295,162,
416,228,319,830,868,292,636,309,967,176,641,010,274,759,695,980,491,103,053,
446,064,327,210,098,416,572,734,408,934,103,127,457,689,344,560,835,974,405,
074,132,541,668,299,009,661,980,897,653,636,445,184,555,492,989,534,157,224,
814,482,899,851,354,927,956,065,754,810,024,760,130,196,673,670,426,184,793,
410,963,525,790,958,420,319,195,017,880,386,342,171,406,981,566,995,806,300,
246,208,605,980,947,699,499,727,981,800,793,143,072,337,082,040,727,566,440,
628,885,198,013,782,274,993,229,926,809,629,335,048,357,192,086,966,891,299,
191,942,717,800,278,855,794,316,106,622,151,856,005,603,511,433,102,325,794,
393,222,442,362,306,699,756,183,010,711,369,416,197,168,804,413,513,270,949,
981,669,761,456,275,594,061,770,284,501,026,745,433,595,238,920,302,541,652,
403,520,598,165,575,964,953,735,695,895,583,905,450,179,793,256,649,901,114,
087,767,357,816,315,636,147,635,828,749,316,628,190,258,614,332,196,515,324,
381,724,901,420,855,713,098,058,088,169,919,542,821,256,647,829,583,997,103,
108,226,098,083,159,224,711,880,578,452,243,318,672,701,831,412,101,279,038,
582,969,657,602,156,539,185,654,613,742,860,980,588,037,093,907,238,211,707,
064,223,110,052,414,848,829,605,547,715,874,360,349,530,011,912,758,804,624,
630,059,104,309,491,070,070,803,052,177,667,539,586,166,844,171,183,815,165,
388,768,840,677,512,008,250,727,138,685,652,353,880,042,925,843,871,749,219,
679,466,393,509,006,715,113,393,936,511,794,948,653,557,264,792,034,135,310,
192,486,802,081,629,765,161,881,122,544,344,630,820,022,977,765,690,325,233,
723,994,578,242,484,570,978,532,604,349,189,880,474,009,974,354,154,389,677,
398,792,915,821,187,641,606,826,424,369,457,411,094,257,721,037,229,238,237,
074,145,599,205,483,240,758,593,405,269,743,615,338,228,966,765,794,616,569,
415,034,859,870,003,350,736,179,139,853,505,456,527,085,454,533,338,105,863,
940,782,557,057,242,029,730,301,129,091,054,240,475,081,976,137,193,755,012,
729,652,023,550,532,050,442,567,215,258,295,303,564,175,867,475,743,956,263,
706,718,536,013,023,741,135,909,853,810,833,949,386,165,633,110,385,309,948,
530,672,888,907,590,421,439,622,988,027,703,472,059,207,832,473,292,238,287,
844,655,831,068,880,416,010,944,050,528,212,871,694,207,733,300,775,384,827,
271,560,940,964,361,795,645,721,687,197,939,647,701,842,412,709,728,838,433,
521,192,257,426,824,334,969,573,447,267,783,668,772,312,427,034,001,441,803,
446,693,378,913,946,361,050,866,948,162,395,931,126,059,999,521,614,974,586,
480,869,810,329,131,779,000,769,204,587,416,768,486,500,671,041,418,935,936,
024,884,065,578,019,878,107,184,641,072,224,494,407,308,477,631,766,123,354,
751,891,938,673,786,093,073,111,107,871,517,526,519,425,827,689,726,823,141,
986,845,270,740,726,813,713,871,746,504,317,678,681,796,575,557,282,019,073,
034,887,622,746,154,725,986,458,942,243,335,536,755,097,666,507,587,196,960,
028,905,552,328,679,490,457,529,479,283,771,255,101,205,680,071,565,809,607,
042,452,606,487,040,157,166,006,326,626,078,185,522,564,392,928,369,063,070,
467,432,467,645,609,779,471,918,892,317,557,800,559,067,379,401,258,242,575,
423,646,299,054,208,191,869,546,195,305,234,074,546,498,765,696,881,954,493,
304,745,268,423,335,696,368,029,269,761,692,456,608,941,161,272,923,001,524,
981,430,713,405,631,827,108,254,924,309,552,187,267,659,803,239,481,777,366,
962,104,075,811,982,443,042,542,913,973,822,726,007,213,114,408,751,465,541,
695,623,460,276,306,449,762,818,039,983,179,903,855,131,504,600,194,990,267,
261,620,478,006,099,719,545,109,770,669,454,602,776,916,282,019,759,380,439,
292,486,314,770,787,168,681,613,978,197,451,658,556,623,817,972,919,340,644,
641,849,814,474,699,502,345,915,941,814,474,468,196,772,672,136,719,775,862,
361,925,881,537,820,632,059,696,257,182,621,933,577,856,237,343,706,471,552,
636,347,613,712,832,635,565,013,992,085,991,863,858,199,601,392,331,055,528,
465,749,843,383,848,177,812,265,494,806,658,065,783,993,059,609,072,662,559,
640,998,458,215,718,793,327,429,466,820,306,163,796,752,175,399,370,770,003,
502,774,136,249,349,329,358,600,837,766,946,108,465,693,053,306,036,953,652,
799,885,931,742,461,136,021,238,173,937,855,171,706,443,758,438,891,699,291,
794,013,719,272,210,411,538,801,995,790,743,346,499,776,766,915,463,759,684,
139,629,821,778,221,983,122,003,170,915,981,957,736,181,886,057,626,450,789,
299,241,434,812,855,481,086,729,029,226,297,891,678,983,801,049,046,140,971,
084,347,858,106,441,363,999,791,805,114,264,698,846,664,805,077,610,085,136,
600,298,309,461,365,625,738,101,536,938,676,279,781,162,767,291,663,757,354,
066,400,185,675,067,995,137,330,397,449,763,144,256,157,887,166,426,983,993,
084,943,040,154,902,772,863,466,854,571,450,081,631,538,952,419,094,670,203,
823,424,334,615,614,383,665,189,707,131,038,716,148,928,995,050,881,889,481,
477,593,833,651,194,098,966,209,193,276,863,218,474,994,978,882,661,849,383,
535,739,890,270,164,660,779,847,681,344,176,253,089,774,638,000,212,481,587,
396,963,088,471,744,854,946,252,461,844,517,873,061,983,327,040,621,319,170,
385,093,844,424,476,092,195,302,407,371,836,083,100,310,370,887,402,932,214,
886,971,518,974,331,007,409,008,464,639,375,520,036,692,045,685,328,163,044,
566,772,885,536,270,922,770,639,807,697,387,449,172,781,232,925,147,582,992,
610,557,300,127,663,526,381,699,853,015,203,132,773,910,897,022,729,872,243,
209,025,323,177,919,665,646,386,391,230,739,854,599,237,527,014,959,861,764,
040,830,362,109,316,061,973,736,919,939,080,216,308,889,298,401,682,649,795,
406,530,437,995,496,647,261,566,194,828,372,535,991,540,901,554,133,066,245,
205,066,198,129,002,541,185,362,016,423,705,540,097,008,971,839,730,256,513,
232,299,149,703,063,326,903,730,254,257,443,747,281,092,270,853,041,327,409,
519,045,668,655,478,821,622,905,399,330,862,179,869,513,954,694,191,603,452,
961,414,416,224,321,458,180,050,024,866,926,487,167,709,207,107,108,140,502,
042,864,780,922,400,525,581,093,973,259,590,487,069,940,444,738,723,959,670,
381,791,992,842,963,807,841,520,153,028,949,057,054,093,374,940,928,718,247,
582,208,556,952,583,930,694,981,051,396,798,118,425,789,038,558,190,635,698,
727,632,932,793,701,281,660,859,798,600,414,493,306,936,802,349,684,056,784,
249,686,472,699,044,412,393,701,638,387,443,715,233,874,534,061,361,187,798,
676,173,942,413,677,431,231,885,737,250,305,021,320,655,663,444,487,390,931,
668,566,165,422,542,935,862,579,427,501,901,229,728,195,827,461,927,781,250,
481,210,598,242,813,866,117,896,374,217,315,059,961,229,525,942,244,844,409,
215,629,090,767,855,066,131,642,751,769,449,350,799,407,158,734,712,912,952,
465,911,783,433,929,891,918,501,366,753,562,358,329,075,074,607,832,136,235,
467,939,591,976,938,725,507,008,539,200,432,031,289,554,829,771,377,088,397,
494,478,310,746,311,683,282,438,144,855,512,028,995,901,118,309,107,759,448,
132,602,964,809,731,166,688,129,294,038,678,092,026,814,766,723,799,640,387,
922,605,861,207,316,871,417,665,007,688,952,267,765,791,501,803,726,815,194,
907,362,906,100,911,069,841,791,971,706,115,092,076,610,583,635,007,989,848,
957,036,721,185,205,679,572,734,399,912,326,860,500,253,452,429,666,356,640,
161,063,117,226,921,128,701,980,595,355,089,740,979,400,337,870,511,284,447,
182,249,494,540,653,791,939,141,471,269,865,356,517,753,622,753,087,806,025,
586,236,362,217,864,496,844,979,100,817,466,817,390,753,842,538,731,703,927,
854,953,420,364,911,070,108,458,231,085,850,764,924,191,756,056,674,754,401,
396,705,414,672,856,928,301,195,372,306,278,045,945,365,573,451,021,525,823,
266,055,791,298,241,230,720,223,056,276,033,097,573,835,102,645,377,534,771,
995,426,399,723,024,585,862,703,204,614,285,582,742,532,050,632,522,245,976,
418,904,611,215,537,828,898,690,592,869,781,901,015,237,530,517,636,426,227,
269,741,012,110,209,140,141,422,325,187,162,625,861,960,867,468,006,944,706,
508,735,950,856,633,751,493,327,389,119,101,272,864,700,642,304,778,428,804,
684,809,425,455,715,465,581,643,912,135,840,565,527,111,105,196,243,046,443,
549,001,515,632,698,890,387,419,501,846,724,425,970,631,394,118,208,926,251,
243,473,602,814,022,635,086,206,199,109,783,550,841,160,797,269,563,116,462,
446,466,833,623,795,576,814,565,720,124,507,875,610,559,781,345,492,801,326,
719,011,760,536,091,816,998,434,061,807,847,670,919,877,794,666,766,905,843,
205,182,883,172,430,650,928,146,952,133,146,888,232,933,407,634,229,042,385,
694,510,011,584,299,712,202,246,846,392,585,423,151,731,447,648,045,538,397,
492,790,066,664,969,871,160,645,584,626,384,137,644,487,649,379,315,458,760,
971,056,089,379,067,655,753,069,074,101,636,193,436,225,968,146,991,545,673,
413,346,943,437,734,801,739,600,215,668,594,393,181,164,127,212,201,950,539,
277,912,547,240,145,329,242,042,763,472,468,706,103,775,944,427,769,664,295,
485,733,592,061,197,074,809,263,617,563,287,383,475,564,404,656,204,770,137,
337,426,470,857,568,835,189,156,246,845,975,183,743,354,166,386,825,495,036,
466,065,342,842,572,491,274,510,519,686,726,840,648,878,084,319,775,745,840,
859,993,609,197,507,235,196,051,832,005,106,560,125,947,922,873,519,815,712,
712,631,603,710,498,537,093,863,443,770,687,596,245,054,542,182,853,849,929,
746,305,719,397,898,203,331,465,681,529,323,891,856,281,685,955,892,621,750,
794,308,313,520,822,789,616,554,259,992,667,104,194,366,622,521,847,800,759,
013,374,961,807,004,301,433,698,153,599,944,159,861,143,126,062,960,217,238,
257,174,464,969,703,322,481,613,039,403,605,683,918,631,851,688,403,660,476,
395,987,050,255,010,611,818,152,716,359,628,533,505,655,423,887,312,982,851,
425,918,935,441,349,837,338,324,523,142,946,489,859,633,454,229,978,487,118,
123,534,133,899,824,282,554,651,085,190,972,846,116,575,858,724,126,879,064,
310,061,767,614,952,877,046,766,353,021,820,282,759,976,730,148,045,134,631,
540,057,165,852,084,147,867,148,386,626,605,590,092,034,869,540,485,338,054,
941,513,922,493,263,164,148,641,023,690,022,607,907,699,749,850,813,734,170,
858,772,185,647,709,789,261,965,918,372,455,053,169,587,488,714,264,361,468,
210,019,435,121,077,490,731,094,590,565,134,736,003,949,660,969,048,606,357,
819,400,263,815,342,141,480,278,924,593,573,042,029,470,877,346,032,426,654,
511,984,406,327,165,282,238,746,144,802,439,088,899,642,608,551,568,425,736,
557,620,074,272,418,695,687,239,966,365,863,540,999,267,619,854,558,377,014,
968,736,299,065,184,003,479,175,399,561,417,506,335,588,992,016,837,203,395,
617,641,582,608,955,819,022,080,192,047,712,712,054,078,766,242,421,942,702,
050,088,885,872,712,167,244,849,599,166,867,105,445,438,055,920,242,374,766,
672,431,102,179,859,167,832,940,063,717,397,698,254,132,876,816,598,107,932,
847,509,166,505,850,446,696,317,606,700,583,711,183,970,396,558,747,178,356,
240,731,244,722,711,041,730,592,214,550,747,924,581,463,232,102,977,870,756,
183,512,999,661,544,293,866,893,794,787,599,259,952,903,889,212,864,126,993,
500,045,598,697,593,869,973,035,404,550,858,261,500,429,468,149,920,935,626,
246,905,553,929,718,176,460,656,183,926,206,266,323,489,198,816,909,611,572,
937,296,421,648,428,903,755,501,221,739,483,942,226,705,716,241,621,798,377,
464,549,387,540,233,715,021,270,872,578,138,165,731,849,740,395,727,784,772,
973,809,836,179,083,967,727,347,680,449,872,905,312,148,581,426,918,975,171,
696,725,054,017,509,591,633,987,653,258,657,554,429,909,477,706,693,738,421,
521,926,567,764,173,218,508,035,708,192,219,432,258,140,229,492,516,337,993,
155,436,277,352,704,601,918,116,982,613,839,448,875,164,233,793,850,752,768,
632,946,208,059,550,877,124,777,582,964,642,856,225,763,841,897,239,730,427,
461,681,267,137,385,781,109,918,537,361,087,639,416,963,876,153,042,466,991,
364,032,151,190,468,414,640,421,087,765,537,010,490,472,685,912,336,732,779,
602,263,858,675,667,362,907,078,349,767,971,363,693,809,592,474,932,909,085,
920,736,498,200,246,729,579,424,215,310,642,808,726,145,693,687,277,106,258,
975,968,546,557,131,970,770,309,925,516,087,259,790,929,397,553,222,941,426,
886,028,219,155,443,646,407,075,992,057,048,245,451,954,628,923,348,996,407,
237,581,821,565,230,530,488,892,458,016,038,702,605,484,149,966,717,898,025,
542,868,268,560,909,878,297,376,669,263,270,282,755,047,421,262,717,127,723,
121,417,008,754,729,691,371,962,986,547,865,088,843,607,709,973,382,256,521,
077,284,039,358,497,418,890,124,852,072,358,297,225,514,361,881,469,515,435,
724,980,456,126,434,329,737,816,925,479,214,552,588,061,396,568,533,576,240,
429,776,903,707,020,742,820,167,541,913,391,616,667,017,756,081,367,285,430,
680,236,228,345,548,131,157,557,073,648,565,500,536,643,832,763,404,887,850,
918,750,864,989,755,079,970,356,154,425,766,715,464,493,434,358,891,996,341,
218,147,731,348,692,082,136,515,410,439,314,543,656,392,880,578,527,665,650,
035,284,568,071,413,160,568,164,814,449,573,746,177,542,562,726,721,489,004,
253,170,164,412,601,686,499,135,727,188,211,209,108,356,553,336,002,813,754,
761,115,005,694,754,999,167,854,874,192,858,358,839,383,739,173,049,665,810,
608,799,784,371,809,546,804,075,999,125,752,587,257,502,232,191,607,815,769,
805,457,597,216,545,822,013,037,613,771,002,305,647,760,345,909,034,432,889,
968,868,159,019,916,976,985,444,010,422,520,501,275,735,895,756,690,320,163,
056,233,529,101,891,510,200,088,063,139,042,951,637,063,732,670,543,204,907,
793,098,600,714,187,838,324,173,317,951,939,573,833,956,464,207,853,353,850,
904,550,826,811,715,944,397,389,499,966,425,132,781,926,508,051,289,068,208,
995,485,462,366,410,377,399,312,265,808,568,663,431,887,991,288,239,154,268,
570,530,553,068,989,462,234,622,932,368,635,579,547,697,294,089,916,019,288,
140,162,604,137,240,103,129,642,303,159,970,548,718,173,007,668,376,652,959,
099,525,271,594,723,415,055,808,382,378,245,246,945,381,183,454,157,884,001,
038,885,451,551,251,913,280,073,705,217,137,077,789,775,323,421,746,953,578,
493,474,324,333,149,874,040,596,153,179,877,486,340,562,531,342,907,697,147,
460,320,826,754,034,266,338,753,460,593,310,401,870,435,615,837,359,070,222,
263,020,250,269,807,392,472,656,044,380,110,943,453,919,061,408,878,399,790,
134,148,418,080,794,567,690,558,473,980,741,421,524,215,686,322,562,211,822,
067,263,065,383,832,225,955,658,287,502,137,471,949,553,136,737,677,481,474,
775,413,556,109,053,298,550,495,711,724,044,498,266,123,163,478,862,114,638,
603,254,741,825,312,330,936,592,167,036,769,691,613,989,693,449,894,446,069,
132,856,607,207,339,487,559,907,721,182,220,317,173,337,883,847,908,842,695,
622,135,343,652,491,333,425,199,736,186,356,169,358,223,820,934,337,760,623,
295,861,581,989,929,277,048,164,976,518,756,989,306,522,471,939,575,115,067,
544,961,032,402,359,174,836,343,576,013,605,730,588,583,830,508,566,031,839,
932,823,376,498,982,512,221,104,529,681,546,505,879,038,371,307,803,123,071,
229,855,754,660,212,563,129,279,869,881,637,507,446,530,131,823,934,355,436,
526,100,591,827,269,028,827,438,508,498,082,775,125,442,766,430,065,700,685,
970,667,042,925,934,194,437,338,683,721,936,663,116,250,485,370,309,869,071,
166,934,813,764,762,849,591,377,612,796,458,758,859,348,495,107,211,137,102,
838,781,091,167,079,259,900,351,783,350,065,448,004,701,043,001,202,559,057,
652,226,656,257,036,827,378,812,433,950,051,875,850,767,871,057,289,915,092,
673,500,866,323,277,853,513,587,731,874,203,425,424,754,869,215,677,679,151,
985,410,933,834,594,272,344,126,842,946,102,304,066,586,727,279,305,859,067,
115,510,729,656,152,931,844,299,709,605,245,220,693,077,894,593,222,597,870,
321,942,697,547,674,226,997,956,392,663,205,003,095,449,825,983,476,730,449,
622,359,449,841,965,483,025,771,479,398,357,647,774,067,641,580,326,962,935,
772,908,619,737,849,574,665,161,131,059,438,495,152,395,123,107,900,114,631,
871,960,323,253,199,928,610,487,106,690,679,152,011,078,694,076,053,938,862,
245,026,569,173,663,169,133,249,632,786,965,403,296,119,634,890,764,514,179,
770,242,837,083,604,027,644,724,286,725,696,061,938,401,871,321,202,187,408,
958,601,391,631,970,580,801,846,761,649,402,642,322,173,706,750,953,434,094,
495,002,602,409,476,329,076,470,325,695,289,989,900,755,692,870,689,634,107,
468,911,422,783,265,812,178,836,876,822,380,489,371,737,746,734,538,525,663,
425,104,073,026,375,448,295,430,512,059,718,193,095,845,224,696,135,842,442,
901,086,523,438,842,443,621,694,297,525,687,740,990,920,748,739,960,811,928,
454,322,827,281,483,456,038,309,943,495,189,730,281,885,080,540,922,103,860,
602,275,433,550,852,730,662,369,755,786,945,788,975,253,715,084,580,963,088,
510,876,923,482,058,822,717,592,143,380,605,984,997,850,023,117,998,992,933,
775,924,352,679,555,462,270,590,861,467,859,352,666,031,559,366,675,223,199,
481,902,232,421,078,633,651,799,683,348,979,778,129,047,879,959,304,949,211,
205,248,947,665,407,478,254,167,540,758,085,725,632,296,929,125,478,432,022,
592,644,269,210,886,326,754,361,780,621,362,438,535,139,982,600,200,374,480,
942,531,645,475,489,334,946,134,347,021,152,545,145,803,984,214,609,464,370,
384,312,095,458,681,322,073,520,462,603,949,341,359,931,086,898,493,703,596,
424,419,881,474,929,534,298,741,401,251,753,466,759,771,292,547,585,528,538,
747,163,193,998,328,726,754,554,149,403,803,213,647,958,194,585,420,201,344,
452,934,419,831,240,928,146,624,728,996,565,362,387,812,230,525,164,385,818,
970,273,071,365,750,400,413,650,228,199,859,045,100,492,743,406,399,460,774,
701,127,652,174,239,478,349,403,729,375,721,227,895,468,887,297,399,622,623,
944,485,802,918,955,376,651,637,550,449,731,200,524,813,534,504,707,774,733,
375,191,322,027,078,980,568,291,290,989,770,717,382,211,770,079,338,299,036,
540,445,118,015,056,174,490,066,346,708,066,771,315,383,367,433,022,548,200,
023,102,852,380,557,082,503,215,464,307,062,014,616,927,408,184,221,487,212,
496,623,274,160,019,734,172,276,196,719,904,620,069,260,928,913,269,098,299,
600,500,915,594,501,535,758,601,322,883,533,230,427,725,854,986,327,351,863,
731,050,903,771,384,249,368,246,173,823,221,558,374,953,279,774,762,377,245,
906,342,512,418,101,902,363,741,130,024,878,644,991,610,989,625,774,474,370,
738,573,965,763,199,563,872,356,781,781,491,688,327,180,944,944,566,965,634,
435,645,425,468,423,553,716,077,282,835,414,627,595,557,959,321,231,518,150,
453,887,916,072,745,540,080,165,024,600,448,479,899,934,685,044,078,719,506,
279,014,815,953,241,503,135,645,181,568,741,037,837,059,989,653,101,608,686,
027,644,530,032,366,871,156,741,536,212,017,148,940,798,126,309,326,071,827,
337,787,900,469,937,917,524,482,905,424,072,022,934,720,226,687,281,787,521,
204,657,126,388,853,622,043,188,567,287,283,250,666,921,930,660,662,918,133,
979,585,573,346,861,136,057,346,542,416,152,445,267,278,880,672,031,339,344,
305,866,850,806,703,019,457,326,687,041,417,865,443,047,615,586,984,119,253,
077,259,568,649,000,517,752,343,297,485,783,540,894,389,901,313,180,163,602,
310,301,283,345,962,251,117,490,847,523,111,576,029,280,507,585,971,224,561,
932,496,689,549,618,021,413,441,556,643,054,610,588,531,624,175,696,257,124,
892,987,963,499,991,417,403,575,589,872,110,856,356,943,204,846,112,915,374,
094,918,662,823,498,140,682,047,776,075,927,672,851,770,662,555,643,806,539,
567,769,586,830,157,929,609,001,073,395,076,671,272,955,791,515,807,429,288,
035,953,628,384,033,072,480,418,756,241,430,644,488,924,970,237,977,807,018,
822,777,123,568,118,144,846,512,720,150,819,731,822,498,253,052,799,759,777,
613,052,592,217,782,054,552,395,554,593,029,982,800,977,255,669,018,001,759,
490,563,886,261,327,969,237,500,714,904,286,133,887,411,035,497,518,049,395,
391,674,355,043,739,605,484,168,985,145,403,751,615,785,820,718,875,045,461,
181,132,610,624,796,338,135,540,719,562,268,410,253,951,232,534,285,841,900,
556,030,460,154,299,131,019,953,565,997,976,635,338,268,778,752,980,021,213,
595,572,996,199,947,340,503,078,115,268,782,140,197,727,762,908,789,703,994,
298,020,487,017,563,953,376,390,763,516,342,032,521,689,099,136,284,721,969,
632,475,564,413,903,791,392,017,910,211,031,711,520,948,095,244,914,823,706,
635,485,114,699,095,568,746,498,753,515,398,621,178,101,143,809,107,205,521,
710,477,652,831,661,523,839,249,235,840,886,047,424,994,293,895,711,425,097,
457,727,253,677,135,070,985,379,514,105,719,346,744,907,281,126,633,247,916,
241,754,577,480,196,193,083,470,257,459,232,967,095,979,861,093,917,513,065,
396,941,799,301,933,614,665,731,623,967,399,183,319,259,483,904,893,948,436,
706,100,604,334,216,024,685,761,518,500,247,584,118,253,248,913,005,670,025,
538,669,827,732,890,098,875,395,444,032,933,957,799,845,339,836,467,539,632,
070,123,783,963,868,993,593,973,008,194,491,971,620,026,381,307,522,930,442,
077,919,678,082,728,260,120,001,831,511,412,348,863,594,038,956,311,623,298,
891,177,201,971,447,076,900,470,115,992,131,287,991,028,039,989,819,548,072,
218,076,420,531,643,103,611,769,669,232,067,992,012,386,723,255,310,665,077,
866,929,746,983,638,223,245,944,696,563,316,900,107,095,276,777,171,242,029,
130,477,741,727,815,015,721,681,476,931,535,105,409,262,140,744,250,100,960,
916,463,720,499,039,643,026,768,831,574,513,432,013,186,476,518,252,535,869,
832,141,524,905,041,040,445,116,661,403,851,135,593,517,580,073,428,503,591,
243,108,643,491,954,889,904,050,450,881,197,525,477,713,296,867,351,679,462,
789,156,979,288,154,461,879,244,010,784,520,681,165,931,076,419,900,483,975,
341,797,230,436,894,971,134,965,559,455,942,300,730,508,564,922,353,315,358,
432,138,697,097,809,851,591,978,999,378,749,475,694,679,388,706,893,724,501,
105,872,496,975,807,060,260,553,358,282,159,710,187,182,401,963,122,045,118,
262,355,590,939,056,228,274,202,537,830,905,419,176,242,640,531,994,630,400,
706,619,243,229,538,082,950,522,268,772,200,087,589,065,289,573,827,397,221,
934,263,168,287,181,404,755,773,997,106,208,216,611,390,991,606,348,182,617,
371,799,852,461,067,632,105,257,729,631,765,926,789,504,942,773,455,660,830,
149,021,886,051,063,356,427,562,961,446,956,144,592,100,256,352,597,399,563,
038,600,828,496,811,428,524,376,861,941,958,107,132,130,707,078,891,354,623,
426,417,475,029,079,959,446,945,858,217,360,198,170,388,782,529,213,591,461,
282,093,307,345,238,699,483,212,482,831,207,588,518,640,566,970,174,412,697,
272,301,150,418,637,087,213,676,896,229,544,671,777,517,710,123,533,733,640,
736,720,193,036,092,787,953,144,450,475,903,205,115,619,613,441,405,862,514,
018,978,074,270,717,145,063,140,626,159,759,471,768,590,137,380,549,209,441,
277,670,807,617,660,750,040,056,387,896,800,391,580,147,358,325,204,313,553,
400,983,760,817,237,769,086,134,036,878,647,055,101,553,331,495,084,701,794,
936,711,302,874,807,148,947,998,109,660,701,633,066,672,956,772,367,834,280,
672,649,732,281,928,448,940,613,226,420,670,703,074,828,424,961,322,147,107,
174,057,739,076,902,118,403,321,127,921,210,678,526,243,875,470,574,932,681,
652,406,582,350,043,049,401,363,453,616,228,468,418,982,004,109,243,943,868,
509,560,901,640,196,076,043,561,765,492,418,889,839,473,434,456,055,616,979,
314,623,585,493,633,009,504,546,871,949,057,425,384,053,726,847,142,233,505,
947,483,590,850,914,775,850,264,854,428,451,316,619,814,105,877,423,621,904,
114,336,557,825,335,650,794,058,759,423,978,372,303,723,449,999,650,472,797,
435,001,295,458,965,090,515,526,372,515,628,156,892,718,041,650,712,246,796,
090,260,332,589,149,292,157,259,526,617,250,510,851,166,884,135,484,532,238,
711,491,364,811,576,785,278,533,337,423,225,773,383,518,310,706,364,910,549,
502,133,273,080,867,787,556,295,879,184,781,502,457,709,937,400,737,823,154,
704,368,545,440,934,483,556,967,808,712,786,562,828,959,993,832,855,708,881,
363,015,975,201,107,216,344,463,721,044,634,010,470,729,599,629,368,687,136,
518,152,245,943,041,515,056,176,537,418,384,968,255,781,863,959,572,899,480,
109,027,790,687,824,800,066,679,122,771,516,068,718,539,971,936,702,860,933,
728,692,741,447,124,235,814,053,885,835,480,801,316,376,405,836,033,838,655,
639,673,409,750,409,681,802,695,390,590,006,227,372,591,675,534,881,419,882,
873,582,148,048,747,970,097,014,868,841,403,461,626,597,612,290,207,989,531,
196,796,088,371,283,548,553,738,100,925,232,158,660,963,620,985,612,819,408,
333,556,248,249,135,582,439,755,698,970,310,574,682,947,205,786,836,228,911,
349,672,721,412,406,019,908,685,351,020,993,069,461,935,085,404,452,483,019,
855,204,581,980,360,010,660,806,478,585,314,637,452,343,257,157,930,840,243,
276,019,078,200,732,769,818,950,110,260,218,883,263,576,488,360,339,882,874,
228,593,464,002,485,412,813,399,065,683,794,093,765,814,521,449,572,007,887,
230,568,933,575,889,438,846,100,619,946,148,864,501,169,137,089,331,563,234,
632,309,327,947,250,110,235,829,948,256,053,786,607,000,245,003,450,234,414,
360,434,766,732,177,471,236,406,439,887,888,628,067,057,956,997,488,203,692,
186,009,210,376,040,043,342,877,858,051,169,896,591,167,563,126,940,589,427,
994,139,856,313,879,413,378,291,353,866,451,698,799,313,973,827,129,832,537,
757,507,192,292,804,972,754,087,120,315,419,990,921,077,686,334,121,771,102,
159,209,292,875,666,253,388,482,263,984,473,663,652,964,936,418,656,815,865,
703,420,154,975,982,961,348,060,191,950,445,607,746,714,492,084,542,587,223,
760,039,305,196,598,111,654,455,321,305,384,918,207,311,035,037,608,707,117,
984,066,937,700,115,694,756,109,486,449,007,141,990,314,818,616,514,242,943,
459,210,291,974,997,598,708,971,253,354,330,146,126,109,371,367,521,445,344,
256,524,216,991,442,051,811,566,963,182,972,958,938,592,612,792,151,864,482,
755,298,243,649,435,747,799,707,354,359,267,404,545,127,794,016,036,718,988,
842,275,170,139,743,621,045,222,673,439,000,392,136,516,810,737,943,273,964,
712,702,532,660,978,567,005,442,815,696,464,060,595,425,181,143,622,537,560,
482,430,643,384,393,161,336,018,015,275,681,681,801,702,961,093,877,997,688,
084,064,810,897,543,456,324,923,283,098,898,223,786,152,445,853,730,807,253,
232,889,621,913,191,966,005,209,176,744,850,635,169,317,161,555,323,080,921,
169,109,435,245,018,393,309,361,863,451,770,787,516,484,975,995,536,852,550,
881,929,086,135,393,523,453,225,788,203,151,291,798,882,016,711,913,718,036,
163,233,303,951,847,746,669,999,265,145,808,413,361,604,977,093,388,065,428,
153,959,677,809,491,172,850,428,368,283,094,741,543,949,603,021,491,503,794,
533,330,642,675,343,876,310,360,348,390,892,647,077,558,860,617,286,017,199,
704,041,601,461,553,343,159,556,713,256,840,498,036,670,421,589,052,355,351,
117,815,742,140,209,486,209,890,775,609,132,542,665,989,729,036,293,000,152,
399,682,448,032,342,276,099,683,595,655,638,558,369,960,993,994,509,008,376,
477,630,983,884,028,593,675,488,981,249,569,095,038,272,290,181,880,579,048,
978,676,637,676,077,290,581,650,532,689,604,185,437,441,531,168,766,129,000,
679,519,299,917,148,470,362,993,195,654,542,790,559,714,029,967,025,367,649,
152,646,896,424,601,158,877,504,546,518,613,790,825,284,212,350,660,246,413,
415,291,893,585,549,536,241,297,963,095,497,168,074,322,881,678,988,635,601,
448,747,480,971,641,744,865,932,160,514,418,413,253,137,484,517,430,882,980,
233,700,530,826,971,398,376,675,874,568,781,387,923,410,423,216,455,792,273,
572,278,735,951,243,013,473,512,735,796,575,993,248,064,440,139,927,907,612,
684,358,094,009,783,068,612,012,311,957,675,757,653,160,585,174,422,156,354,
739,157,858,249,632,603,664,872,991,198,742,676,343,482,874,027,925,332,220,
826,933,393,821,785,129,446,444,429,102,570,492,859,161,913,130,071,187,740,
333,288,451,288,725,280,781,647,613,574,797,634,876,313,313,080,446,202,284,
930,491,343,661,115,723,985,124,749,840,591,160,769,806,972,969,560,729,303,
339,538,071,345,513,197,566,721,437,944,659,505,633,702,813,996,034,410,551,
651,519,349,830,158,155,110,158,965,740,603,707,660,993,701,859,316,969,451,
949,653,439,825,404,774,523,873,059,453,682,549,784,399,265,686,289,536,838,
714,099,332,275,352,677,214,679,574,272,771,291,933,011,308,642,527,760,782,
104,168,718,440,498,741,278,411,154,510,168,626,488,604,586,057,549,326,789,
090,928,292,696,113,704,974,613,527,879,468,399,079,669,384,980,844,520,711,
619,404,169,402,640,284,002,918,166,120,579,605,026,145,014,918,914,771,549,
258,698,907,802,053,219,054,282,685,025,580,113,497,260,731,105,010,971,900,
909,609,024,714,668,117,464,909,555,987,757,525,725,658,319,849,686,886,545,
435,145,779,729,808,393,460,152,604,292,995,521,914,912,561,348,639,245,275,
571,910,243,332,454,154,178,705,569,124,081,597,369,729,821,168,245,841,487,
227,159,231,984,817,866,652,652,516,958,524,087,937,680,572,990,718,262,215,
452,186,621,539,328,555,241,017,441,290,560,776,784,968,909,492,542,471,098,
210,883,399,949,206,855,683,588,684,916,364,414,448,468,829,751,765,990,412,
446,781,239,861,952,002,849,676,220,028,179,958,854,806,755,737,314,122,422,
368,818,583,825,822,099,881,091,110,150,960,113,793,847,699,760,587,824,815,
677,587,106,161,576,082,772,344,509,428,087,840,831,402,999,353,108,388,171,
227,808,670,207,073,457,647,428,906,696,857,619,281,840,583,697,708,994,095,
422,770,734,321,792,233,772,302,241,350,642,216,471,008,159,151,215,251,817,
590,956,711,182,848,905,580,850,524,120,762,426,905,796,265,531,901,522,124,
253,804,993,427,782,056,631,638,924,548,240,105,814,559,280,251,895,634,785,
522,087,955,727,687,025,412,785,537,873,447,566,155,420,893,108,501,555,854,
010,360,989,188,032,019,532,007,600,535,038,190,787,444,265,088,880,487,298,
866,468,429,696,584,141,781,217,103,481,577,801,724,293,011,521,682,196,070,
382,162,420,878,134,593,198,669,566,381,317,209,091,637,977,953,989,022,735,
262,976,359,045,538,933,304,592,192,200,233,354,428,257,534,358,265,113,818,
311,539,501,988,153,484,679,963,510,431,223,194,891,150,829,113,349,581,888,
995,518,890,469,977,863,341,580,555,516,386,461,307,994,184,141,986,915,423,
343,969,988,244,442,616,214,822,341,331,699,647,844,801,576,278,782,529,266,
741,184,979,398,799,897,867,235,137,050,108,216,002,063,054,453,455,064,869,
059,041,524,930,891,346,464,335,901,467,008,166,242,068,844,486,864,681,085,
221,702,638,020,557,522,773,777,630,453,532,847,535,485,859,763,933,880,459,
634,091,220,013,195,582,892,981,054,568,704,254,806,501,604,081,343,278,346,
367,238,418,422,444,109,045,840,302,434,791,786,719,974,448,897,168,804,588,
014,737,511,736,241,659,886,805,143,966,603,000,878,138,100,999,227,690,330,
294,090,027,068,384,432,786,412,928,798,653,188,307,263,475,972,022,904,876,
374,149,870,485,526,597,643,819,460,637,898,009,070,260,341,222,861,753,128,
490,158,726,060,991,331,230,675,477,946,336,704,818,537,580,731,471,387,049,
803,475,432,522,890,523,393,311,545,894,361,224,045,955,840,865,616,838,917,
503,414,000,514,923,733,092,161,720,869,773,470,615,971,582,809,446,204,728,
875,103,583,576,589,613,044,820,516,113,943,810,112,848,413,935,529,565,050,
915,553,802,110,163,925,286,509,591,121,017,899,316,821,549,342,603,559,781,
186,960,453,657,788,734,931,508,160,501,738,372,682,940,573,990,181,659,748,
995,334,198,620,687,908,850,720,179,650,336,295,841,143,121,901,200,379,202,
981,241,840,155,848,506,714,053,224,612,575,062,296,677,678,496,030,238,586,
171,493,436,471,095,646,291,431,628,486,502,655,855,306,047,189,601,248,246,
911,277,226,903,529,191,132,909,859,412,955,205,416,350,928,934,140,315,684,
766,661,241,142,307,557,789,224,749,538,005,757,901,927,394,850,934,454,514,
504,918,588,680,114,872,442,988,249,139,150,400,276,789,713,264,037,262,252,
150,222,069,631,674,511,437,173,424,082,282,156,112,431,067,871,130,179,282,
565,940,991,285,718,198,286,219,152,846,804,048,162,217,553,981,956,117,268,
046,710,692,414,925,600,317,836,659,264,540,361,347,115,473,440,931,613,608,
457,513,730,343,739,896,401,403,144,326,102,122,817,040,172,107,245,528,024,
342,987,437,179,265,502,339,188,534,872,765,528,010,773,479,364,108,820,322,
312,802,119,167,276,948,616,137,322,535,704,312,652,636,224,995,292,748,381,
226,097,350,048,020,032,797,205,388,150,074,890,201,406,960,931,614,743,959,
216,611,826,442,707,337,492,793,417,529,103,437,304,378,692,528,836,011,385,
115,357,496,141,392,988,241,774,824,854,565,254,639,421,121,502,459,055,764,
026,280,563,845,917,647,189,794,158,782,514,803,616,509,255,196,351,176,215,
216,837,163,135,053,129,637,967,523,248,819,266,036,133,338,551,959,262,557,
061,206,968,142,670,505,597,819,486,893,280,213,871,351,315,069,455,818,929,
911,894,958,664,087,067,857,518,324,028,701,859,831,926,905,778,354,623,357,
715,341,403,870,591,767,832,112,381,576,792,557,353,470,322,266,157,078,949,
325,362,478,531,686,418,703,665,648,518,110,854,719,100,557,051,507,167,081,
936,255,652,945,879,633,744,056,730,211,819,271,678,431,883,821,009,141,254,
612,508,508,643,988,803,099,646,702,651,520,233,289,902,084,305,597,318,634,
704,401,060,620,442,432,476,308,084,476,307,171,903,097,134,938,458,320,233,
732,814,922,945,282,826,600,098,184,906,992,117,431,313,328,049,838,759,421,
953,313,702,703,539,581,338,933,674,653,435,346,077,572,004,194,699,996,684,
475,136,214,374,029,082,571,785,570,310,640,411,303,607,301,643,060,196,687,
149,241,625,058,268,341,188,429,195,007,666,992,302,791,793,581,861,100,462,
104,570,043,247,028,579,882,795,352,486,405,415,637,835,138,859,098,566,186,
062,532,079,801,727,467,130,360,734,315,840,766,337,239,853,764,820,161,249,
349,550,016,137,189,560,956,074,706,505,825,844,111,457,225,235,596,284,004,
779,643,644,182,564,751,466,542,872,616,218,059,755,539,190,628,099,819,991,
151,884,010,568,307,881,127,313,174,146,273,324,919,656,304,632,519,590,327,
043,731,174,537,596,588,441,854,870,894,366,365,161,200,434,000,631,213,030,
793,226,448,909,633,735,556,241,717,273,943,831,543,572,023,434,244,538,810,
323,299,956,452,003,577,302,124,701,021,280,611,742,446,538,340,692,969,114,
950,668,593,419,442,505,749,207,377,727,964,967,008,641,141,482,839,150,832,
481,622,194,325,253,262,574,646,922,020,861,441,235,922,187,958,996,706,041,
045,624,542,725,057,202,680,641,765,085,330,799,353,717,747,680,586,171,664,
714,822,144,372,382,232,811,778,674,278,240,534,308,553,455,355,394,259,059,
630,180,306,382,402,663,260,317,451,334,515,520,613,898,923,128,713,428,778,
312,372,695,321,362,075,208,356,461,096,066,723,138,274,044,391,056,171,897,
870,056,656,054,036,973,769,481,346,002,605,837,251,780,961,564,392,683,604,
879,309,215,846,222,876,649,232,641,162,644,533,705,886,504,429,638,717,896,
685,343,616,438,505,785,531,041,021,850,952,750,384,932,174,716,727,849,926,
784,096,182,553,558,248,461,209,177,260,773,916,565,023,623,431,548,840,491,
296,649,153,981,532,319,257,008,131,612,257,933,507,114,629,068,591,400,420,
544,548,892,333,503,660,589,157,117,334,295,652,684,742,722,735,238,220,821,
888,384,450,501,429,081,373,672,163,459,887,148,360,109,695,629,046,572,406,
831,860,713,725,221,470,228,659,758,801,496,061,571,185,506,031,485,952,452,
761,433,447,925,689,223,510,412,224,087,966,343,213,769,310,873,023,880,144,
228,344,017,783,236,835,728,092,079,314,640,246,186,628,911,979,859,072,298,
258,453,484,045,709,001,602,936,564,922,695,077,093,668,384,041,335,088,155,
263,657,880,603,755,809,064,529,617,293,683,292,067,510,468,334,198,129,067,
062,822,279,493,108,737,568,347,412,242,562,126,985,111,031,235,078,643,921,
982,827,095,834,085,317,885,587,078,167,103,406,634,022,303,525,748,779,997,
528,302,352,750,202,927,647,549,478,506,244,895,955,082,386,656,407,101,420,
850,527,851,642,244,683,155,850,573,461,407,806,346,476,611,166,842,963,222,
132,596,418,701,714,545,118,950,757,821,422,771,894,976,611,421,749,236,589,
132,613,524,740,677,843,732,050,078,862,546,339,284,237,417,306,074,125,657,
742,117,835,416,125,929,615,523,961,716,660,918,648,061,661,806,601,270,992,
959,245,010,879,648,339,996,223,298,232,914,784,220,886,945,945,992,880,735,
195,521,997,468,398,509,622,582,200,837,759,333,282,032,217,667,963,935,525,
104,163,101,016,429,479,056,577,866,589,897,133,916,042,564,680,479,719,124,
605,867,952,106,031,108,874,103,233,450,382,305,177,552,623,353,412,146,868,
080,917,908,213,017,092,272,025,505,134,305,690,137,258,182,920,199,931,531,
731,748,764,039,113,023,006,306,256,547,885,738,331,523,812,890,797,330,155,
877,330,822,375,099,796,735,390,478,834,433,261,386,728,337,317,978,293,598,
320,645,319,355,504,654,171,214,531,053,015,814,615,444,845,828,332,646,674,
104,945,255,148,166,730,067,592,411,168,348,234,357,294,773,615,663,188,186,
409,193,582,381,948,140,878,732,957,644,158,255,386,521,235,027,029,337,268,
171,853,444,121,487,406,346,375,910,203,639,965,290,283,196,728,222,038,530,
898,165,311,282,979,367,826,108,944,039,622,078,728,404,259,943,617,674,621,
110,470,282,987,281,113,512,840,161,226,502,335,267,845,764,243,797,882,872,
523,148,914,682,533,527,244,416,673,430,920,020,330,461,623,418,607,249,644,
433,744,014,006,589,374,545,674,000,706,037,064,546,754,284,254,508,637,515,
627,825,608,532,395,518,281,059,883,044,008,527,616,055,978,629,590,618,734,
671,598,251,339,942,396,917,408,994,195,902,845,778,837,017,624,375,473,213,
599,656,328,399,084,162,107,887,485,552,542,898,146,281,173,298,698,726,836,
772,371,382,629,936,767,783,682,523,717,954,392,385,303,971,707,912,677,550,
392,921,445,309,004,350,637,830,179,360,291,427,263,663,622,344,975,757,144,
272,454,178,580,301,618,883,843,371,115,976,501,337,367,786,048,065,624,980,
744,669,004,301,882,588,613,269,360,380,162,405,229,822,395,566,420,416,097,
801,378,404,235,957,067,227,352,207,602,700,979,387,217,657,397,111,307,726,
506,202,699,291,665,274,053,950,265,133,907,750,163,709,102,770,302,573,069,
711,429,317,421,508,360,939,833,328,417,741,677,842,498,529,293,408,028,243,
517,053,511,832,073,199,882,802,633,373,942,879,704,444,100,050,259,261,885,
570,529,995,872,564,092,828,148,240,373,267,959,064,632,107,866,477,804,055,
079,877,188,850,920,247,394,490,539,430,279,872,440,165,519,685,346,785,693,
472,640,742,651,768,589,663,159,249,535,442,572,037,721,848,255,698,926,085,
785,173,413,264,726,577,676,663,032,421,536,125,510,289,082,902,553,758,264,
580,386,859,156,994,713,820,042,394,958,713,503,378,577,498,382,303,372,266,
044,261,276,435,237,567,906,275,329,330,748,430,396,831,209,060,729,753,787,
349,008,814,778,078,380,518,891,903,804,436,600,104,333,689,925,444,551,493,
668,667,805,567,807,082,017,112,272,209,027,676,831,603,061,220,053,470,604,
163,858,325,999,992,629,768,497,799,594,855,281,328,264,617,897,605,189,450,
113,901,677,974,668,824,955,574,437,998,483,553,329,558,942,297,457,762,075,
329,461,988,602,677,799,103,686,315,278,626,906,650,152,563,485,445,839,160,
266,002,537,892,112,961,592,418,972,262,498,038,789,832,849,892,660,587,301,
722,114,748,750,796,352,293,008,877,902,921,438,778,164,639,664,929,842,552,
700,520,096,948,965,726,984,583,195,292,835,784,489,572,650,099,345,435,845,
909,452,566,547,099,276,013,502,907,758,229,286,772,886,398,385,047,966,275,
118,014,876,069,331,809,952,144,469,200,774,420,281,259,689,546,670,345,462,
911,561,350,034,989,109,392,647,961,195,586,959,787,275,681,149,192,804,762,
281,585,277,801,943,482,018,069,694,207,006,130,823,434,870,243,930,331,440,
118,381,506,580,347,739,039,255,704,120,639,232,309,272,242,287,681,649,125,
269,157,796,159,644,795,091,525,105,952,293,719,698,871,033,662,877,034,568,
972,060,830,256,630,425,769,296,647,011,094,327,863,940,089,529,855,858,859,
442,403,652,757,076,820,707,263,958,014,483,081,374,782,633,566,353,260,229,
544,879,041,715,026,325,350,537,868,415,013,562,700,737,980,542,699,478,240,
133,688,128,619,946,003,290,553,363,947,282,561,542,009,780,955,018,012,755,
055,698,573,780,938,625,106,860,593,451,309,040,571,711,912,813,658,267,993,
338,975,152,860,445,962,519,674,749,339,500,443,446,774,603,736,759,127,799,
316,134,080,694,894,317,630,864,122,301,596,976,348,989,739,743,160,608,285,
835,236,663,705,873,852,793,308,172,997,325,391,834,353,591,193,089,885,231,
435,983,206,842,330,041,861,872,852,758,818,764,114,727,037,864,460,098,664,
637,035,139,061,182,926,038,579,541,695,541,482,908,039,922,089,717,076,000,
408,935,619,077,900,570,042,211,027,659,831,842,255,542,829,384,092,484,393,
877,943,285,120,235,971,950,982,478,234,415,380,706,535,868,963,202,547,324,
036,459,997,701,535,995,255,115,853,596,023,695,962,436,464,406,750,746,980,
668,824,951,507,515,675,589,498,690,967,717,960,864,692,336,418,799,854,510,
855,283,704,100,088,479,194,131,720,187,907,096,130,383,521,063,374,706,905,
643,701,195,957,708,237,337,206,890,718,704,441,263,237,852,755,781,578,306,
987,303,960,781,535,128,631,311,921,772,141,547,968,180,502,905,031,281,785,
028,235,891,979,746,309,972,955,611,629,958,701,095,073,807,969,340,775,396,
377,186,220,119,550,881,475,564,990,769,050,681,122,391,273,934,040,762,416,
522,339,376,404,438,021,391,475,344,182,863,862,897,162,687,579,157,980,179,
963,257,416,643,158,494,574,553,736,485,150,327,991,446,454,316,018,005,940,
138,080,989,787,216,715,712,924,132,215,590,350,383,475,415,015,764,836,268,
891,015,202,986,777,091,791,061,690,724,135,380,874,262,667,086,911,459,072,
501,676,137,203,937,503,880,999,782,180,634,363,072,760,613,551,855,016,015,
246,849,801,464,549,921,184,440,079,069,515,372,873,716,224,594,751,302,253,
874,154,446,848,767,596,146,743,054,814,430,704,533,576,318,677,460,933,060,
993,467,224,696,819,718,343,344,674,789,244,450,071,693,388,900,791,402,331,
997,890,770,721,612,655,462,331,943,961,532,962,404,248,220,989,942,556,482,
881,372,909,917,765,673,482,126,195,240,643,545,182,095,465,725,298,320,149,
620,977,629,930,631,817,826,056,533,044,147,794,693,978,474,456,677,449,098,
959,790,648,216,279,614,085,843,917,174,294,455,828,013,189,028,957,267,823,
695,715,120,218,762,666,721,239,297,762,894,604,288,361,746,635,982,852,022,
994,346,382,397,165,057,380,228,585,640,419,255,327,009,498,220,097,814,418,
790,241,271,016,252,588,259,204,177,904,924,571,582,881,676,054,564,308,077,
530,525,867,513,198,675,757,012,370,219,313,766,720,867,692,028,114,349,399,
214,530,876,002,739,567,259,902,830,355,238,089,820,784,291,720,984,190,175,
743,041,789,866,575,106,979,165,350,459,160,921,467,684,720,166,819,163,225,
973,597,425,004,227,221,685,062,925,740,396,541,111,416,816,358,386,342,702,
792,905,812,131,037,283,273,904,286,985,395,215,295,652,028,858,773,927,962,
929,745,110,803,365,272,114,504,210,137,673,509,115,308,976,774,890,208,237,
019,336,609,682,369,690,467,650,649,771,045,884,873,172,420,572,008,904,891,
159,134,767,154,293,093,687,112,889,088,113,876,809,033,092,578,798,540,455,
436,541,601,349,419,354,979,440,783,208,139,081,182,435,824,435,139,074,055,
601,880,122,136,448,427,931,376,789,958,257,822,745,487,604,125,693,586,974,
863,863,894,649,727,163,279,260,685,819,981,995,746,676,523,621,530,794,879,
438,726,441,807,597,938,240,949,703,720,087,498,099,809,907,676,923,489,901,
240,593,302,621,976,561,449,997,448,205,774,183,708,425,962,842,251,258,339,
336,514,302,745,838,490,469,564,479,150,556,294,147,629,456,079,208,938,388,
414,965,699,250,083,353,339,601,911,214,795,554,091,448,827,967,068,764,096,
918,068,050,978,675,553,240,704,639,146,146,607,378,275,907,995,995,144,989,
992,493,492,788,427,530,640,999,557,378,113,015,575,275,386,364,697,234,718,
292,686,355,560,524,135,088,492,445,867,053,941,313,653,990,746,840,085,832,
918,392,456,042,532,534,531,459,383,369,185,756,441,809,177,915,142,584,242,
467,075,049,808,618,324,791,905,874,275,000,609,343,065,538,374,613,115,468,
543,360,144,953,549,799,331,480,151,131,452,198,288,115,525,869,901,191,817,
604,610,589,847,177,675,690,416,219,132,741,309,561,475,567,775,632,447,080,
919,530,178,232,582,735,625,512,858,708,332,843,095,742,208,915,634,824,844,
304,821,335,446,833,216,320,154,942,933,389,423,392,865,383,512,050,808,230,
790,137,090,987,165,643,293,838,681,072,243,946,486,789,099,498,024,587,933,
105,720,738,801,028,082,150,167,167,198,215,937,903,046,341,384,175,120,640,
920,562,288,908,872,188,786,511,155,959,791,385,092,715,091,711,587,404,518,
076,316,350,442,422,878,568,867,394,781,559,713,909,318,550,701,459,540,241,
115,021,133,700,262,800,028,289,999,657,401,015,651,398,067,113,602,811,685,
746,586,267,388,704,370,178,701,118,864,642,765,419,602,166,257,968,708,420,
060,289,549,172,302,495,866,731,454,536,392,346,678,895,788,221,687,103,941,
740,276,765,222,907,166,234,690,165,695,189,660,747,692,950,511,091,095,328,
094,159,565,945,909,381,311,865,788,101,305,586,542,066,458,910,181,561,222,
825,698,143,489,883,497,132,277,133,088,440,161,659,565,730,523,208,405,890,
482,035,513,830,374,462,231,339,236,007,175,370,523,130,125,377,042,324,466,
903,368,780,850,125,744,418,897,950,274,779,149,235,208,158,148,522,370,375,
748,220,673,509,086,372,312,843,868,998,126,782,887,415,763,670,371,727,912,
064,069,049,183,904,893,823,918,396,818,308,405,379,088,331,201,279,550,633,
609,669,365,720,851,447,603,667,716,449,657,760,769,075,575,748,891,893,553,
581,865,757,313,396,942,061,342,590,557,502,065,586,538,045,078,252,783,277,
635,304,874,238,303,528,730,056,924,064,798,898,244,515,795,021,183,784,770,
486,536,738,920,312,528,512,579,598,309,585,502,638,006,001,567,791,565,879,
660,783,312,644,372,969,117,220,100,823,401,053,831,989,798,844,848,167,667,
127,408,637,596,555,780,158,770,946,418,232,216,352,387,562,167,934,749,723,
381,429,686,174,819,920,454,221,981,737,344,695,222,917,495,845,417,744,108,
262,909,830,247,937,725,406,284,469,606,313,790,586,701,444,234,329,201,485,
885,816,183,444,097,236,878,735,731,553,184,335,418,974,581,086,737,746,317,
889,458,983,126,344,020,849,882,952,463,841,244,167,780,631,004,017,133,378,
649,795,004,590,969,339,442,514,625,674,665,863,183,254,168,086,978,619,672,
780,356,117,738,909,933,073,462,181,017,015,011,563,594,582,029,435,695,036,
918,240,144,842,380,278,903,238,148,023,482,325,811,162,833,230,163,357,141,
505,021,657,344,633,513,852,297,928,395,679,185,307,590,418,357,630,671,071,
179,175,468,698,467,880,432,647,861,174,144,950,229,992,199,790,723,978,802,
986,283,746,925,007,720,454,820,598,453,217,949,937,757,041,858,369,600,640,
702,261,284,444,116,211,551,932,536,301,261,570,140,359,581,622,855,117,569,
884,430,830,973,022,170,881,027,749,524,220,329,703,363,953,432,671,063,659,
406,498,522,426,452,943,184,981,615,220,952,861,114,110,215,849,987,761,025,
426,225,219,126,453,024,011,539,153,448,133,392,801,723,252,509,236,940,587,
346,234,135,243,558,185,694,470,420,786,051,368,726,931,716,900,583,284,074,
898,774,945,791,698,511,718,587,881,805,765,866,327,773,016,970,211,946,591,
259,735,684,649,698,769,298,286,382,308,959,508,812,330,990,866,021,984,386,
525,364,640,381,084,856,530,354,751,780,091,904,965,360,761,573,156,076,906,
282,885,737,660,148,444,774,224,381,460,750,810,540,119,012,188,453,605,778,
787,428,140,148,240,485,662,866,401,681,688,503,609,300,810,739,908,908,470,
726,481,944,678,302,012,020,513,573,568,517,570,210,370,299,591,886,819,255,
589,784,703,506,452,772,632,558,609,577,848,589,768,316,059,916,892,958,816,
300,324,099,449,620,788,790,340,225,070,243,955,852,709,389,117,342,140,859,
701,009,087,541,989,095,797,238,047,702,575,553,223,392,791,191,051,067,628,
645,917,391,318,641,162,756,916,202,949,373,210,838,266,979,448,187,162,246,
652,710,707,186,977,900,576,955,272,870,223,328,014,942,301,518,279,871,837,
306,639,285,092,188,480,198,307,109,011,845,002,419,625,190,385,307,784,729,
513,158,525,990,370,030,381,057,087,340,953,524,704,089,894,196,763,569,590,
697,839,169,101,864,654,618,089,952,807,303,392,325,942,516,208,324,475,156,
611,108,646,697,666,638,647,305,479,645,037,965,367,647,553,778,835,943,065,
590,807,259,236,208,307,354,652,764,670,741,273,947,430,395,560,349,576,163,
107,909,159,476,903,119,979,733,465,000,305,892,389,677,486,347,329,675,535,
051,084,946,716,023,043,916,075,215,456,500,825,960,919,746,670,653,262,785,
460,567,496,159,273,427,905,814,422,817,830,087,218,272,477,741,599,265,278,
138,885,827,556,777,700,538,784,831,154,505,749,407,741,495,103,099,866,406,
339,725,830,237,995,209,852,900,975,960,670,983,588,167,663,987,885,731,569,
857,716,452,019,075,500,439,213,924,633,643,069,502,209,587,225,508,716,053,
090,146,560,885,348,440,731,606,384,688,044,730,810,844,324,856,544,670,241,
570,865,196,402,383,464,422,940,667,098,972,275,754,481,501,574,961,074,709,
349,308,159,511,621,019,424,263,976,151,305,098,495,164,093,600,581,356,534,
288,003,234,315,257,900,108,493,669,122,801,099,114,638,853,473,977,490,714,
822,160,301,233,241,963,101,524,637,884,385,131,570,426,094,897,320,905,991,
210,518,610,612,408,185,241,181,790,911,721,335,417,209,219,592,363,431,531,
443,157,687,470,648,453,176,368,255,897,458,987,747,374,640,044,797,573,537,
303,080,755,547,652,739,096,422,270,133,873,951,825,269,628,969,984,717,272,
646,997,763,834,578,716,787,779,367,177,494,683,006,064,122,090,242,850,020,
166,621,476,605,499,534,070,888,781,675,075,170,079,567,131,332,997,439,159,
512,958,267,447,338,065,454,308,417,898,344,027,382,207,397,778,246,753,867,
673,059,798,265,869,246,849,113,838,406,635,666,290,157,252,577,857,727,177,
582,340,691,781,583,217,290,609,228,751,083,089,652,830,321,622,419,238,949,
731,415,444,865,365,740,591,785,370,451,053,194,231,366,607,961,044,737,921,
581,921,231,590,860,012,978,947,678,635,709,661,564,354,600,435,424,147,778,
327,979,298,254,340,831,845,366,229,526,864,546,132,247,704,275,971,084,361,
783,417,891,435,839,060,031,537,070,202,737,542,681,676,467,253,754,467,987,
313,514,718,833,059,953,246,353,931,919,142,353,403,976,330,777,594,130,515,
512,569,838,191,226,422,535,029,375,451,799,373,451,501,565,060,323,487,126,
965,122,750,703,226,910,960,633,803,692,888,688,317,827,591,292,373,569,331,
455,553,618,222,099,346,389,027,236,000,602,070,323,478,822,917,540,686,782,
876,562,646,908,630,550,545,861,585,250,074,770,311,732,819,935,033,773,983,
275,000,194,684,541,305,374,198,531,125,948,622,274,507,265,508,331,528,399,
661,682,824,197,149,297,572,147,111,718,102,165,920,214,207,292,307,508,408,
897,548,884,170,738,445,411,824,866,255,383,182,466,341,366,025,832,855,769,
511,351,647,948,868,940,012,764,867,510,977,082,214,667,757,242,754,169,650,
943,627,011,934,219,664,298,044,583,793,032,547,661,052,612,034,107,640,773,
982,994,033,486,426,305,859,807,136,892,852,254,007,036,793,546,211,792,231,
048,765,186,867,906,020,313,745,342,398,082,787,748,605,514,562,862,589,041,
511,916,953,600,744,597,178,076,885,797,591,195,863,338,179,366,145,599,813,
846,084,118,129,028,261,980,009,551,470,470,701,006,436,024,250,055,495,045,
450,720,238,117,471,729,914,046,727,471,127,481,916,843,327,201,923,230,825,
193,104,936,351,104,670,883,860,342,758,023,122,366,419,847,826,169,272,172,
727,913,258,984,834,578,250,890,853,887,439,838,297,760,001,320,225,992,212,
879,910,509,451,111,643,383,383,830,730,561,785,897,072,967,530,334,797,506,
747,804,438,272,514,095,772,759,525,997,575,617,461,175,774,329,543,001,157,
821,817,472,836,862,976,144,940,338,247,804,687,276,078,251,078,883,426,154,
641,369,333,828,026,607,316,090,833,386,013,771,525,079,236,542,490,948,003,
128,052,947,239,496,166,000,258,118,872,419,790,990,293,630,162,081,119,116,
073,891,203,571,447,525,653,419,685,782,056,295,673,263,874,608,500,491,551,
414,918,897,617,212,508,888,354,994,323,160,346,540,390,835,203,058,227,935,
809,367,830,492,079,508,089,801,710,573,740,224,414,029,629,752,787,842,023,
868,003,144,921,967,660,984,959,932,859,507,996,007,008,752,825,518,473,928,
113,305,618,209,440,302,391,563,523,432,736,951,442,801,508,948,253,897,121,
151,014,281,026,522,692,875,226,137,274,952,999,500,510,575,962,233,691,180,
781,080,681,207,297,387,811,082,002,519,040,596,352,239,445,883,864,510,480,
245,437,887,585,003,510,955,233,646,667,554,762,708,083,785,951,603,660,126,
472,601,303,244,334,511,954,192,099,783,418,681,328,526,140,984,858,511,563,
491,263,629,299,071,998,733,604,895,712,550,203,840,073,921,603,382,579,100,
653,818,063,153,970,893,884,734,785,652,327,950,193,348,046,603,075,026,117,
868,275,137,227,378,610,333,247,680,276,618,466,807,341,626,225,033,646,230,
129,392,968,548,941,178,220,394,693,754,191,696,711,962,449,298,272,603,672,
136,350,409,870,816,256,820,374,079,349,382,203,714,877,208,151,443,554,311,
507,263,292,284,001,288,585,908,815,647,476,144,349,879,291,132,759,467,587,
904,513,246,881,426,628,315,953,641,041,271,995,317,790,391,873,173,765,514,
975,896,316,541,697,568,882,813,578,196,980,533,763,521,882,645,267,251,216,
247,130,952,547,508,276,164,398,622,240,588,172,050,703,415,650,103,238,436,
774,391,613,096,176,899,289,491,306,850,578,237,487,029,283,182,974,200,773,
977,101,157,336,412,959,588,925,958,014,462,522,350,005,545,510,866,660,758,
051,657,904,666,155,037,977,734,453,138,838,241,511,591,145,136,029,546,148,
263,619,130,243,579,821,304,367,834,130,723,077,203,289,363,869,362,485,402,
172,070,727,011,005,202,098,679,143,111,136,904,569,070,428,825,414,520,276,
552,696,056,815,118,494,551,524,436,060,351,062,353,213,213,710,375,457,159,
150,419,645,693,858,937,790,585,881,580,001,550,162,475,292,305,380,891,475,
326,216,185,157,783,925,019,620,029,416,439,126,952,194,403,561,122,487,339,
690,811,537,892,893,588,981,476,242,685,693,565,251,234,381,510,738,375,603,
442,703,065,681,733,372,862,779,785,270,252,379,323,481,597,102,135,024,376,
648,498,260,839,021,029,885,943,036,868,873,941,940,428,691,951,456,402,173,
600,484,060,223,837,458,285,355,774,000,970,007,081,933,694,896,556,439,679,
206,082,315,694,122,482,541,626,765,465,398,949,452,492,635,703,768,782,678,
567,796,987,239,848,106,005,113,665,280,338,099,038,340,383,011,978,176,702,
229,484,559,477,320,078,172,562,871,288,698,420,917,399,354,338,134,395,094,
198,792,501,232,761,120,149,227,849,094,939,864,027,140,487,588,079,585,057,
670,122,461,618,454,126,036,911,147,291,202,238,741,151,836,862,560,128,582,
195,322,290,914,752,919,350,450,472,795,486,726,712,779,419,954,463,322,309,
914,571,880,979,412,666,470,401,631,637,573,507,673,687,614,768,217,793,298,
476,846,754,160,452,213,021,078,143,861,793,707,279,776,335,335,158,918,534,
027,510,073,331,145,092,757,714,886,652,408,580,799,022,915,051,102,306,557,
324,995,828,773,220,121,397,289,363,982,829,014,919,703,639,568,279,626,803,
205,577,808,771,749,783,626,748,259,241,345,585,189,545,927,507,772,181,306,
845,152,868,227,396,783,250,929,115,061,673,628,716,517,177,906,098,525,405,
725,591,951,933,505,866,730,962,563,066,374,021,613,114,081,246,811,377,957,
058,540,162,393,308,182,740,184,070,064,045,883,505,910,229,074,083,932,554,
533,578,271,555,334,992,426,501,940,280,103,954,281,327,054,609,646,298,297,
296,815,597,834,288,274,914,782,137,220,539,259,483,982,099,866,733,892,142,
961,183,856,924,310,345,405,714,340,517,591,775,260,382,145,325,374,876,985,
092,929,612,945,484,699,220,076,347,442,879,679,517,913,331,669,181,963,078,
807,851,062,232,979,800,877,649,996,412,127,889,897,320,639,130,464,484,031,
183,127,908,623,897,352,248,617,915,645,265,247,465,393,857,481,749,997,487,
409,375,734,798,300,849,825,163,416,025,604,052,059,354,445,057,107,797,117,
826,374,434,152,644,496,880,206,090,408,935,906,652,847,823,771,391,765,604,
269,331,306,881,093,800,795,953,016,468,538,786,272,558,566,972,049,241,984,
831,088,213,705,422,494,634,638,287,334,605,726,035,076,595,407,497,229,250,
635,099,472,905,608,682,438,920,673,047,379,515,091,394,139,779,436,738,213,
763,151,661,419,369,309,145,886,688,886,322,416,563,438,414,993,717,955,506,
596,856,295,126,289,511,502,901,357,420,217,059,290,492,033,682,833,627,528,
183,421,343,494,046,475,975,636,386,962,657,768,391,379,626,074,492,936,458,
559,265,891,814,658,809,320,052,608,585,675,221,347,768,608,116,598,409,360,
463,683,652,661,509,793,595,727,444,693,237,009,538,408,577,360,398,266,850,
961,174,180,601,017,196,605,733,727,048,642,844,662,456,067,228,497,479,507,
497,724,378,001,438,710,733,477,223,111,715,734,180,100,971,163,476,118,060,
631,735,950,002,751,437,612,424,819,579,857,797,549,550,293,403,516,976,483,
881,198,568,966,927,753,122,850,254,422,263,640,952,445,362,850,251,699,816,
404,094,159,321,399,402,976,437,281,707,423,128,961,016,460,042,662,831,746,
794,897,833,511,121,476,936,186,910,326,095,012,050,734,506,356,138,808,858,
933,110,586,045,461,761,476,481,497,143,625,172,205,183,338,379,720,876,326,
894,127,910,525,591,626,104,795,923,461,162,029,533,109,216,128,608,143,801,
710,048,201,359,730,187,779,836,490,555,861,496,841,584,211,173,479,294,492,
719,645,852,288,915,091,221,529,187,411,108,155,972,426,621,829,925,652,062,
075,906,641,652,235,122,774,855,813,754,494,944,381,123,276,973,574,048,574,
375,154,227,078,328,659,402,762,162,326,939,702,185,046,089,895,880,734,222,
725,202,195,717,959,975,320,050,850,353,032,610,752,203,460,512,457,533,784,
829,447,905,104,344,801,684,050,506,453,585,762,552,867,782,342,778,332,473,
490,457,808,274,626,105,766,552,403,366,931,247,312,158,365,121,137,278,483,
633,993,815,619,003,700,228,295,486,140,097,312,205,245,876,637,223,505,271,
659,039,783,767,242,933,876,476,009,671,444,041,687,419,560,296,979,306,171,
082,526,636,010,959,527,397,195,230,599,023,913,073,325,426,667,354,304,116,
257,681,539,132,328,800,928,998,005,595,563,036,431,811,986,693,312,824,587,
170,903,497,031,843,799,633,107,527,765,534,144,664,538,569,783,523,457,821,
704,439,649,508,731,472,093,915,292,812,927,909,723,360,463,007,484,310,627,
492,908,505,527,268,907,368,592,291,401,818,685,367,574,039,980,658,782,132,
871,473,044,233,826,220,349,167,252,849,507,616,287,739,377,764,965,115,280,
340,313,706,037,976,758,819,837,299,500,197,438,631,434,854,922,486,058,412,
566,932,893,258,477,723,255,878,255,860,068,731,599,103,398,938,323,158,822,
662,328,533,514,343,498,491,235,779,104,605,994,054,038,962,535,865,805,879,
630,666,287,494,575,100,823,507,844,890,858,211,842,309,800,032,786,401,601,
924,732,555,215,108,531,401,142,528,752,579,214,380,707,652,828,033,998,717,
992,978,442,647,810,003,214,455,518,300,339,108,895,908,104,038,596,981,207,
715,225,776,615,795,814,648,027,515,648,264,698,841,650,819,228,929,740,620,
960,549,707,986,258,797,989,169,805,577,361,979,250,468,072,761,946,234,002,
549,018,580,628,009,473,627,491,643,971,219,051,860,765,490,451,603,068,913,
623,648,588,538,862,219,186,145,667,250,956,472,934,306,349,861,120,717,969,
906,905,862,833,726,990,055,163,954,642,898,057,530,104,561,663,334,991,009,
638,383,287,974,273,405,990,677,602,985,921,480,333,836,829,152,726,694,426,
268,834,683,350,833,349,007,260,697,227,458,793,779,452,262,629,579,585,797,
904,980,521,637,161,438,846,220,169,661,691,713,919,280,509,489,077,344,972,
063,947,174,834,773,707,505,708,086,805,568,454,825,177,137,162,057,770,745,
737,306,826,702,391,590,888,817,308,778,112,380,396,007,532,570,448,997,197,
370,146,012,579,810,448,198,404,019,353,971,292,328,849,718,733,782,365,621,
502,010,971,922,431,956,035,372,026,346,951,716,167,240,108,287,494,903,798,
452,835,846,863,728,804,065,404,960,030,339,998,815,147,503,036,351,806,703,
654,418,389,830,674,243,438,945,697,654,196,776,607,899,725,070,993,847,658,
964,946,302,750,835,203,529,608,780,374,767,444,792,577,967,841,809,381,839,
508,149,306,131,950,049,810,215,094,224,387,047,083,335,133,115,103,251,757,
582,033,895,563,621,182,677,328,521,169,603,950,097,458,468,099,799,003,016,
845,328,785,769,376,180,479,998,487,193,255,300,427,573,436,756,063,898,739,
464,168,994,938,310,709,014,669,003,456,623,828,677,784,145,386,741,250,379,
559,969,796,384,323,035,875,789,213,525,659,237,548,013,900,241,255,628,062,
733,435,682,401,922,930,855,340,269,309,675,299,146,763,718,811,515,754,066,
173,665,703,796,471,089,261,353,848,463,759,356,658,548,766,804,861,835,111,
182,895,785,574,095,808,317,690,108,684,984,014,695,691,235,228,262,137,355,
082,514,294,426,704,348,248,794,483,305,170,982,703,301,180,023,567,649,796,
569,982,375,690,203,783,250,605,262,679,832,578,824,193,631,468,112,173,252,
165,823,762,749,323,533,307,476,544,634,165,696,975,842,405,551,371,264,067,
643,649,604,242,831,532,144,656,140,179,281,127,079,200,828,760,265,041,776,
217,811,448,009,842,567,060,891,297,226,880,288,437,292,828,291,000,151,300,
114,188,719,625,915,427,574,251,685,181,756,227,903,776,256,033,397,367,318,
955,622,676,845,848,923,478,830,737,759,990,250,603,391,713,421,324,108,129,
655,598,414,195,795,994,314,355,706,384,038,360,974,921,092,303,676,828,666,
146,918,132,290,529,160,584,150,899,904,273,394,671,646,258,594,853,838,152,
051,104,254,528,633,114,746,732,076,288,602,238,311,637,068,906,085,625,800,
555,403,585,716,885,576,786,046,381,430,282,936,573,274,927,331,022,605,475,
065,186,517,767,567,108,801,774,353,111,348,759,042,609,204,697,995,593,914,
099,743,101,539,807,197,535,630,818,100,190,862,140,254,156,872,087,343,339,
129,458,841,374,820,283,062,379,327,059,065,454,888,768,254,430,541,033,744,
646,740,284,041,921,707,728,923,618,233,655,182,576,892,193,220,508,222,098,
586,584,818,906,348,156,610,347,156,409,299,170,974,592,959,651,712,621,516,
053,270,605,760,083,963,350,544,842,270,866,488,815,812,611,054,438,133,484,
102,345,179,525,005,704,197,484,318,808,033,056,707,178,830,330,838,626,893,
203,538,169,968,233,628,089,700,526,482,061,791,404,610,594,344,549,644,720,
237,279,492,729,218,831,246,145,693,115,026,235,523,401,272,471,567,169,426,
634,320,466,433,572,611,215,941,691,399,557,897,421,097,808,353,250,711,864,
862,762,863,840,402,259,926,334,261,142,644,212,516,669,598,629,646,657,195,
394,594,491,061,929,127,846,701,852,589,601,989,521,861,159,621,357,581,851,
049,843,452,409,148,792,052,235,946,179,464,362,543,856,169,822,000,234,524,
271,899,957,252,963,602,216,923,619,563,004,200,896,487,857,060,578,321,391,
428,991,774,800,734,700,657,849,699,767,803,683,655,935,445,539,860,661,949,
227,335,606,463,147,281,671,205,810,474,571,560,249,821,711,778,649,104,155,
722,069,100,379,133,995,062,417,436,594,399,997,972,575,166,781,401,676,745,
246,275,027,935,198,838,268,695,126,794,660,663,820,386,759,064,940,088,337,
675,587,047,067,468,279,855,504,069,329,570,087,882,531,333,289,969,411,434,
921,496,969,494,817,664,786,441,808,588,730,708,023,998,868,300,250,340,286,
294,336,718,007,380,697,144,389,040,949,841,037,759,027,871,895,929,261,346,
405,015,665,308,477,891,582,658,373,867,102,381,295,001,886,582,910,965,911,
125,121,687,334,684,890,100,274,503,454,091,727,352,366,655,716,118,366,893,
244,362,500,108,451,440,514,612,529,297,285,793,047,529,001,820,290,595,145,
682,257,233,945,651,536,419,504,424,855,548,854,969,590,376,367,325,416,763,
059,083,134,064,346,400,449,205,373,411,434,664,233,245,620,652,535,227,984,
513,589,298,594,217,562,552,713,489,752,269,166,195,615,787,370,580,703,335,
601,558,947,526,060,900,616,332,806,564,812,928,084,207,332,728,347,922,799,
846,796,748,656,716,900,020,254,289,009,739,602,486,052,915,487,514,304,795,
872,170,475,205,287,262,542,679,809,515,394,159,926,285,595,293,023,102,064,
528,786,778,204,388,868,265,066,501,364,968,072,084,115,689,984,285,913,665,
417,767,013,739,288,078,055,408,441,204,095,595,117,045,023,123,022,433,494,
850,771,914,165,368,662,542,410,809,027,393,390,618,175,359,937,439,873,044,
585,714,453,918,010,098,595,302,440,767,950,293,208,052,438,154,165,784,638,
668,915,312,851,365,406,860,926,635,571,377,165,228,242,217,922,227,331,649,
491,343,857,492,189,458,273,323,803,411,196,101,431,508,288,903,679,446,907,
828,753,106,274,455,342,577,406,524,085,207,728,704,586,613,815,064,008,285,
761,729,721,824,170,821,908,507,225,094,553,839,395,431,944,345,779,042,618,
254,259,623,122,547,661,775,397,919,566,961,121,190,208,753,509,495,811,711,
695,469,698,877,838,616,950,426,879,161,067,959,473,334,917,119,376,043,374,
156,876,158,565,467,032,684,402,885,371,917,508,367,955,723,880,877,828,097,
161,674,261,932,741,935,166,539,270,262,851,689,194,229,470,976,998,702,884,
490,435,769,357,734,348,481,279,022,793,669,263,495,240,488,431,397,777,600,
494,524,640,915,497,832,185,128,888,154,851,472,566,931,591,069,351,239,566,
934,614,929,778,716,458,263,278,062,229,780,885,127,800,180,099,740,451,565,
221,584,721,660,575,551,411,343,946,075,909,054,767,598,490,812,943,742,972,
713,244,863,530,708,750,797,184,211,405,015,906,201,277,402,019,758,997,780,
570,333,727,009,018,918,343,949,120,604,379,987,110,531,200,101,544,239,142,
015,148,899,336,613,330,395,915,908,258,229,053,776,341,376,988,698,896,202,
759,181,531,525,195,609,363,405,545,428,446,409,394,079,214,550,052,169,189,
284,090,542,078,098,549,438,130,356,761,087,902,581,939,871,677,353,406,574,
889,767,628,216,612,804,239,541,936,680,363,054,436,528,064,870,391,041,041,
285,049,023,553,097,673,405,610,596,036,671,590,542,637,835,594,326,365,347,
278,593,302,662,391,558,180,939,698,290,575,982,892,727,230,918,295,275,050,
352,834,506,341,563,690,607,221,734,640,945,671,721,511,730,391,156,049,239,
321,196,736,478,714,220,697,923,013,256,486,948,645,998,237,546,062,355,610,
257,044,015,799,228,583,193,627,340,356,984,719,697,148,420,125,336,786,656,
612,711,789,429,015,158,825,187,707,503,445,904,561,789,074,441,477,184,293,
994,885,686,034,501,272,492,604,955,225,728,772,878,234,651,991,770,647,864,
793,424,468,401,861,704,853,962,161,028,718,171,819,315,374,567,870,142,471,
058,573,106,435,756,575,436,819,974,108,475,654,661,571,626,657,247,584,760,
271,492,124,837,986,786,965,101,025,917,996,988,155,596,567,531,499,015,137,
175,117,677,721,644,060,596,914,925,160,104,380,151,561,668,369,969,674,132,
602,156,337,493,618,599,381,530,289,219,168,736,333,136,027,269,692,028,956,
735,284,822,894,720,967,818,562,878,165,748,459,221,652,534,608,180,678,633,
062,982,707,502,835,701,111,561,839,811,927,891,068,500,746,858,301,812,489,
520,561,190,507,341,308,249,026,480,691,855,069,346,759,744,889,678,152,272,
918,109,096,714,256,477,547,084,270,934,554,324,731,827,355,934,106,753,020,
134,412,321,413,604,762,780,499,058,711,702,082,038,155,409,713,197,246,229,
944,814,533,455,730,804,655,990,841,070,767,070,048,485,652,868,285,637,060,
281,197,183,930,863,993,574,001,051,052,855,148,659,852,143,342,446,700,046,
771,133,257,217,672,671,296,376,766,578,143,039,888,434,961,870,039,142,821,
033,842,190,902,378,872,466,369,043,704,724,143,534,237,849,079,453,413,661,
250,078,285,730,445,675,341,483,516,096,114,758,490,917,565,382,367,201,546,
668,009,000,294,510,968,244,939,510,041,622,630,649,353,781,635,220,100,479,
730,977,057,665,232,883,083,077,880,077,266,571,604,486,246,332,868,978,329,
093,131,774,623,543,908,532,111,405,971,517,426,831,931,254,823,219,977,327,
887,879,825,600,828,141,667,399,893,697,362,651,726,835,876,683,928,396,022,
010,476,232,366,103,632,035,647,006,194,167,853,911,770,890,393,876,600,741,
880,231,950,972,430,942,006,155,609,682,576,360,081,477,318,835,142,416,357,
097,374,302,731,932,904,237,999,630,781,437,285,764,946,969,788,550,754,769,
087,673,726,419,537,989,687,381,827,538,474,348,271,222,298,194,260,743,367,
936,773,554,324,751,314,681,560,200,775,269,158,000,513,568,699,943,811,623,
063,234,180,881,221,142,403,428,657,767,604,512,905,374,325,739,604,482,485,
841,364,574,691,468,076,629,017,311,594,317,400,345,269,736,411,633,407,742,
224,361,842,430,772,210,530,737,801,922,066,684,709,414,238,802,709,122,295,
400,621,616,271,123,010,936,903,430,062,486,199,137,727,362,068,840,008,796,
351,065,346,694,300,022,012,662,866,152,360,601,367,865,040,211,545,450,420,
366,531,875,927,105,712,722,231,875,761,616,533,319,648,733,539,220,185,923,
205,331,996,800,780,856,400,841,847,963,146,674,102,889,470,761,287,437,713,
142,798,095,761,187,843,865,169,377,765,856,407,705,703,954,954,127,348,744,
210,161,127,789,457,457,754,071,922,467,072,772,652,042,397,698,997,012,611,
137,675,171,272,285,200,689,511,726,689,182,052,823,075,592,419,392,503,277,
524,928,426,091,556,634,371,428,045,430,526,845,749,042,663,191,047,084,242,
473,779,795,688,919,483,301,112,959,591,389,812,207,132,776,268,495,146,774,
103,584,902,580,692,704,893,406,340,503,310,783,824,732,826,340,600,461,635,
064,357,616,109,031,731,509,277,386,936,041,645,171,264,471,678,870,488,689,
199,940,574,282,156,401,289,164,956,819,830,063,934,496,436,037,714,055,670,
037,909,110,549,029,405,036,540,664,869,513,935,753,524,032,640,983,669,904,
724,685,525,470,462,968,802,742,345,052,855,031,488,756,333,648,939,837,669,
134,997,556,077,815,660,018,726,592,236,209,630,244,292,120,853,981,379,818,
887,521,930,924,114,854,437,084,305,842,760,906,045,741,617,691,131,927,911,
210,375,555,472,596,505,076,544,626,537,652,742,568,440,239,974,479,848,354,
917,290,692,203,415,015,081,012,577,780,031,667,498,177,000,958,729,435,767,
035,739,986,632,309,710,961,318,860,593,805,111,390,497,994,582,924,276,009,
096,908,239,341,840,655,237,455,882,013,482,194,040,253,237,471,514,439,860,
997,032,512,031,987,914,147,619,056,434,162,617,673,723,508,295,638,357,044,
784,461,063,554,957,075,620,473,090,858,951,541,540,156,968,408,848,117,830,
285,746,407,197,321,308,577,673,542,240,478,303,064,057,785,734,556,491,661,
145,197,896,065,412,184,865,393,328,351,380,169,051,210,716,741,870,576,975,
332,448,079,955,065,597,474,122,178,754,569,285,248,234,081,146,565,308,226,
933,601,481,141,710,027,677,014,153,727,076,034,102,551,619,014,141,926,310,
376,106,902,931,943,151,665,223,887,695,369,604,345,358,572,422,720,895,890,
158,157,801,333,454,818,216,942,606,097,112,975,736,465,796,526,625,228,115,
143,981,586,121,877,418,901,656,725,395,738,290,644,380,880,243,471,786,816,
512,097,088,103,069,162,557,434,348,241,738,965,170,775,265,625,157,071,361,
819,571,521,579,784,423,974,508,373,548,104,065,585,901,187,452,026,339,697,
792,607,761,088,003,649,419,921,844,940,200,925,062,638,594,621,980,700,177,
033,827,541,873,182,957,960,873,814,441,968,220,842,933,406,946,531,915,157,
609,631,772,729,460,421,489,335,987,506,692,954,998,348,584,081,577,742,324,
426,207,721,953,528,971,153,825,737,652,857,596,522,599,112,466,570,226,630,
749,006,357,576,961,022,328,109,471,194,374,664,869,358,849,991,168,934,576,
756,208,105,109,016,867,386,938,050,583,677,559,266,312,785,990,783,640,689,
502,657,290,132,206,582,909,947,533,427,550,525,283,512,119,890,039,015,137,
006,676,778,989,873,457,017,727,130,890,825,427,136,021,984,327,640,140,996,
312,784,138,699,430,478,805,482,183,799,982,037,804,041,257,861,459,146,607,
446,168,722,458,382,156,580,029,758,963,066,661,034,649,966,287,547,385,762,
117,501,619,782,315,641,423,657,612,527,233,841,697,537,761,739,250,694,354,
425,636,552,852,283,274,713,207,174,059,277,347,344,261,908,086,223,537,239,
575,264,921,786,334,318,325,473,915,722,008,088,208,670,834,706,554,086,794,
445,179,857,772,274,719,569,364,768,093,877,840,389,831,553,875,522,618,852,
394,440,760,499,537,352,662,689,027,097,136,849,201,794,174,535,612,183,666,
456,449,941,859,698,089,777,257,088,421,713,307,748,140,885,094,636,022,817,
065,941,287,651,762,257,666,620,599,701,151,079,726,322,132,362,900,895,349,
687,837,734,973,008,096,238,473,671,343,130,662,920,891,859,049,314,180,911,
749,615,866,946,788,010,095,249,103,643,220,471,298,573,544,507,812,853,781,
765,444,230,796,412,451,351,573,343,358,547,593,238,602,903,749,563,612,849,
974,465,568,538,521,108,633,525,554,090,901,438,646,270,859,694,086,449,912,
618,868,794,987,453,660,152,343,497,220,972,099,695,414,011,770,270,411,029,
124,214,007,888,086,390,255,312,591,473,558,724,853,444,773,198,134,182,190,
706,304,120,027,191,202,951,674,895,754,664,366,252,312,638,337,451,339,696,
014,386,691,938,165,484,281,553,116,303,340,158,474,568,120,690,235,763,247,
665,514,626,316,240,578,362,692,612,308,837,311,864,602,517,303,294,354,929,
363,947,244,123,587,871,023,931,029,590,318,994,907,528,651,523,269,845,693,
076,380,143,272,941,128,224,573,928,034,504,288,192,296,247,941,730,913,113,
535,608,780,366,417,516,430,413,108,356,705,079,506,008,789,497,460,562,400,
555,441,375,929,531,853,263,139,492,940,833,921,023,747,895,634,470,690,369,
543,471,544,804,189,001,474,287,880,738,230,822,200,290,781,357,176,793,553,
899,620,063,413,589,066,609,780,857,562,504,666,181,702,640,497,941,439,495,
414,824,942,361,772,960,257,688,702,363,866,966,472,503,128,920,180,181,234,
003,279,539,601,236,121,589,382,139,971,500,114,991,559,973,276,140,822,486,
784,881,787,106,900,356,705,374,547,200,855,570,069,781,671,592,313,744,311,
422,588,425,031,258,582,689,429,643,443,526,478,083,172,079,260,887,960,319,
243,353,352,283,689,783,082,569,041,378,813,561,242,111,990,753,891,827,030,
763,984,000,523,183,785,943,895,383,932,714,145,514,832,419,045,074,630,787,
390,365,908,506,392,357,656,852,290,691,011,974,854,473,324,066,581,807,795,
349,035,381,109,051,022,489,103,701,036,090,861,812,421,652,735,147,385,308,
888,732,681,265,079,714,404,604,632,990,676,380,800,146,196,893,895,499,819,
111,112,422,056,834,545,700,354,309,601,722,623,555,354,662,123,249,291,395,
170,908,912,347,353,310,078,227,629,780,101,482,733,897,488,289,228,230,575,
968,478,891,123,116,382,168,772,137,391,669,756,782,636,486,702,966,764,791,
676,094,237,595,353,986,972,542,509,887,948,160,040,899,936,050,169,561,052,
575,225,382,134,247,144,329,092,362,042,218,376,988,252,842,058,044,205,378,
435,568,201,361,167,023,172,947,936,893,535,479,179,472,506,263,092,204,595,
102,131,167,048,243,066,280,166,864,485,132,891,987,643,795,898,940,710,805,
005,949,921,034,866,532,566,063,387,359,759,016,440,791,529,504,732,249,122,
992,760,364,856,211,244,678,710,237,617,802,568,269,771,377,746,116,026,041,
911,402,354,327,298,333,463,714,965,303,547,310,239,722,495,214,547,369,503,
284,384,538,197,758,497,320,941,047,288,247,306,715,619,597,181,658,337,064,
274,061,972,128,235,842,272,479,788,618,829,440,452,319,017,061,759,613,252,
364,034,172,685,711,384,697,243,424,222,120,471,359,717,796,036,628,774,573,
717,836,931,937,139,516,764,884,723,941,370,615,309,560,744,023,360,850,366,
035,357,241,937,000,881,874,011,321,314,416,915,041,979,236,063,656,774,966,
832,283,334,650,079,039,075,158,885,732,407,723,827,945,927,658,084,136,169,
816,246,578,028,376,066,497,725,639,401,475,903,030,952,561,437,185,733,582,
205,877,672,930,615,686,737,427,322,892,595,774,382,116,793,300,391,140,446,
247,842,706,946,429,139,650,819,708,748,151,177,387,854,715,572,707,159,936,
358,213,450,990,196,503,086,325,612,399,259,990,573,085,564,288,339,684,588,
421,199,164,370,402,592,844,828,003,005,631,371,256,649,301,715,113,582,386,
862,361,653,781,189,740,034,604,369,931,739,581,312,449,432,284,114,583,757,
833,365,893,425,476,045,526,008,127,868,056,145,708,527,652,782,014,982,383,
454,261,145,528,354,053,627,472,675,481,512,867,482,577,888,227,398,432,885,
046,226,050,324,587,512,043,665,072,827,865,544,717,242,743,947,347,007,373,
353,522,586,284,104,517,295,945,027,565,841,620,129,859,017,456,971,452,292,
837,434,972,526,850,020,845,387,430,385,198,530,319,465,641,031,824,288,683,
603,749,777,055,994,872,482,231,272,690,565,186,416,980,134,157,086,738,549,
407,268,417,775,514,871,340,738,626,817,734,099,879,577,440,784,122,057,442,
181,289,574,416,379,626,547,667,437,433,678,982,984,282,684,288,216,214,822,
780,453,722,863,610,854,153,056,039,183,897,162,829,572,694,574,705,549,868,
152,957,080,599,239,742,691,019,871,063,267,538,286,537,596,594,978,634,541,
638,895,727,872,054,545,789,800,744,245,862,381,833,785,383,540,681,816,016,
128,663,308,403,128,393,521,491,193,235,036,566,464,473,650,277,784,155,195,
385,297,370,787,542,093,950,190,806,928,663,310,265,166,359,394,944,994,791,
120,075,727,845,739,279,327,282,155,261,139,477,953,577,521,816,570,721,366,
469,342,030,619,925,372,624,414,874,486,224,603,608,002,587,720,982,851,759,
563,987,549,196,970,836,258,490,538,807,578,612,482,351,565,025,056,736,455,
456,588,160,628,699,794,448,277,012,952,474,167,303,473,228,789,507,832,552,
682,780,608,179,754,075,597,450,808,973,298,471,258,295,651,475,297,628,576,
720,161,932,146,815,847,476,990,894,918,252,337,542,521,578,842,705,033,680,
701,856,569,957,119,056,802,030,645,685,797,450,904,136,675,130,230,651,909,
410,057,988,369,312,885,257,220,473,144,792,225,698,106,772,487,979,047,033,
183,536,894,771,126,831,074,279,434,827,980,026,976,014,149,659,534,074,773,
479,029,389,885,090,719,327,493,437,243,627,881,019,236,744,122,636,135,796,
854,756,769,970,289,962,050,343,741,125,338,095,046,837,519,311,307,208,977,
078,567,150,100,147,986,200,519,721,972,219,406,259,760,276,019,697,770,850,
489,781,032,600,870,077,404,648,113,450,712,030,039,804,637,220,710,927,415,
461,757,978,711,993,134,902,867,033,404,655,544,639,227,682,762,619,260,837,
198,693,352,129,994,433,132,251,418,204,021,544,412,966,952,191,559,348,457,
311,477,708,289,386,246,325,460,849,790,136,657,050,727,512,141,690,654,003,
157,679,940,650,469,357,212,327,830,080,101,027,552,996,261,643,223,474,041,
012,956,471,056,758,134,652,966,734,226,408,581,202,197,025,728,218,178,244,
833,255,377,156,800,209,449,729,437,674,479,058,278,431,005,652,112,977,112,
884,619,305,415,226,106,944,342,853,550,601,152,762,358,066,914,923,398,557,
169,913,785,951,387,419,269,829,817,013,187,304,626,793,433,999,325,417,594,
889,088,512,802,427,374,092,491,372,201,255,809,248,769,376,184,983,057,792,
505,333,946,767,146,650,003,954,250,078,522,584,201,425,278,377,422,729,707,
653,304,809,286,744,776,673,996,656,460,688,858,580,921,794,095,906,274,783,
428,336,269,503,800,933,163,767,960,339,682,782,813,498,171,551,568,212,228,
833,468,158,255,109,829,353,981,762,894,445,775,346,263,919,560,001,917,638,
690,880,558,925,069,250,380,966,259,723,510,501,272,423,779,576,305,600,690,
637,466,060,882,595,568,259,168,029,625,519,511,362,895,272,630,846,022,388,
867,478,917,211,698,952,040,650,704,854,440,824,915,703,308,507,642,863,217,
429,465,352,041,713,780,025,223,008,462,705,939,789,956,828,850,381,490,908,
703,553,264,478,732,978,682,153,887,446,036,232,088,676,725,812,026,584,285,
843,805,379,274,062,740,240,705,665,712,524,249,235,521,957,588,936,257,959,
890,408,274,577,727,025,489,025,907,199,133,143,949,507,542,877,129,681,892,
598,081,444,633,561,454,226,221,782,991,679,922,911,297,982,856,229,236,527,
766,500,328,767,393,192,430,166,972,227,447,281,290,343,025,401,081,781,230,
773,153,502,928,284,891,051,838,124,419,600,756,667,248,423,590,550,237,194,
270,998,628,850,190,786,315,360,619,802,188,216,418,523,146,534,046,570,179,
496,553,990,956,810,529,098,667,014,029,601,796,923,138,106,982,983,025,276,
808,192,960,226,297,846,957,314,360,812,837,065,961,075,221,605,184,462,600,
744,087,054,577,826,415,515,064,489,314,913,005,354,475,167,676,229,770,254,
104,768,140,360,968,274,021,357,827,843,932,115,082,243,165,943,069,506,619,
219,365,433,620,161,546,947,530,429,446,479,400,107,136,127,824,836,340,282,
603,300,434,362,812,315,796,287,885,711,506,306,937,266,611,392,878,769,269,
958,835,585,180,806,717,669,030,000,254,340,281,176,571,295,697,212,491,196,
706,927,648,838,434,217,047,655,510,853,235,338,117,614,503,063,001,967,656,
371,200,223,899,903,973,502,094,252,369,179,361,826,674,711,889,820,509,099,
151,211,485,308,475,209,722,477,755,581,923,609,958,701,979,186,962,583,597,
559,895,104,408,843,108,861,918,757,838,235,202,692,741,751,276,639,945,188,
461,627,646,602,878,803,753,850,590,180,130,049,940,425,773,566,641,905,906,
398,748,550,448,036,977,515,922,507,440,234,756,714,282,794,486,712,419,292,
914,335,562,949,979,380,142,224,855,427,887,190,469,281,882,443,904,070,175,
688,585,729,482,730,160,125,515,371,574,445,080,852,217,935,426,029,337,325,
753,342,211,217,021,751,823,672,193,323,786,485,675,485,379,157,534,661,487,
584,261,983,469,985,865,849,733,237,090,244,821,864,783,319,680,668,653,666,
940,322,853,619,315,705,080,219,247,475,890,369,565,373,946,781,872,049,493,
984,339,494,159,714,613,081,695,137,843,693,116,122,020,641,521,330,699,837,
465,374,563,330,191,055,521,332,280,382,060,745,378,335,940,660,683,417,908,
757,261,630,377,232,599,587,790,891,089,903,370,646,344,139,721,575,859,233,
183,221,911,209,764,073,889,161,232,060,932,690,662,651,559,190,427,917,545,
394,545,766,249,266,796,685,195,435,707,774,946,023,553,082,472,115,674,492,
677,916,423,486,768,759,638,901,770,118,138,524,825,266,948,718,952,245,538,
869,747,765,369,213,895,656,849,748,932,743,893,093,000,935,364,642,358,310,
661,554,094,686,639,095,990,861,542,979,969,697,494,403,788,954,512,292,998,
764,436,148,893,940,112,702,799,523,376,967,279,530,011,182,447,990,381,567,
541,921,213,447,516,142,041,187,942,861,976,993,681,753,810,090,970,652,786,
705,221,862,188,874,946,395,985,852,566,022,272,739,924,299,306,629,239,753,
302,667,677,283,545,054,929,762,964,447,656,570,338,103,492,762,576,098,033,
628,067,846,596,492,864,884,671,273,668,147,106,593,716,866,965,475,963,818,
955,494,325,970,635,917,736,776,253,852,230,678,602,491,465,915,995,457,496,
528,955,619,595,268,193,824,954,547,226,217,568,544,948,285,281,719,091,486,
526,656,026,226,510,469,799,043,007,379,935,431,374,237,688,858,936,067,005,
234,603,351,046,133,432,812,283,683,694,511,180,489,987,354,815,630,498,850,
745,324,525,180,499,470,827,675,356,049,719,164,070,542,131,844,523,253,829,
907,203,641,620,526,679,701,208,992,278,265,199,301,192,075,430,072,522,900,
356,597,249,566,960,623,521,838,288,588,038,978,986,971,649,511,506,714,013,
938,393,968,646,389,474,074,058,248,437,563,250,296,666,585,807,635,973,115,
652,296,626,804,664,898,205,470,300,112,998,628,256,930,803,650,736,976,634,
095,075,598,968,765,627,774,367,067,837,808,749,832,485,983,102,227,622,235,
670,360,719,194,851,868,260,975,671,548,750,361,178,014,542,495,182,408,748,
930,912,977,708,143,723,685,382,273,557,924,229,760,451,727,297,855,707,428,
231,394,472,639,713,831,012,040,210,725,868,145,477,767,580,245,656,108,398,
093,354,997,442,538,031,852,302,353,903,580,701,089,428,127,738,757,188,051,
274,068,675,856,524,063,197,541,949,476,386,365,921,813,879,276,802,917,597,
263,871,211,619,408,958,709,678,602,306,513,164,081,461,402,778,378,135,371,
330,954,427,424,685,153,833,818,424,599,782,626,981,421,349,986,737,910,068,
423,650,494,785,268,291,580,674,185,818,258,183,924,321,771,563,848,037,197,
911,999,029,426,633,587,657,373,835,096,661,354,934,859,703,092,336,289,191,
982,605,785,999,401,572,932,707,570,906,594,433,979,986,790,943,322,630,116,
113,830,556,099,350,916,581,050,179,586,769,532,557,405,205,744,272,902,762,
527,466,107,787,667,407,064,143,798,226,847,803,775,061,591,279,109,543,798,
005,915,177,507,552,233,983,461,370,311,192,322,729,757,702,412,716,856,500,
104,488,256,942,864,941,903,898,806,373,859,060,389,342,242,574,748,229,785,
689,752,794,482,175,836,403,563,632,127,080,362,114,221,368,957,713,009,011,
233,935,602,994,310,861,952,317,886,290,391,280,908,519,106,503,419,880,282,
734,681,908,230,464,160,895,952,646,412,093,267,251,974,590,678,461,922,426,
818,623,850,939,057,394,692,361,820,032,002,782,125,956,470,491,550,872,982,
761,530,788,945,946,113,029,396,072,567,352,443,218,813,922,531,048,823,874,
627,141,156,287,797,711,904,106,748,278,809,139,718,485,867,541,963,886,667,
329,584,117,477,367,775,477,157,879,343,381,962,583,621,251,889,424,794,770,
228,049,697,564,415,185,365,417,595,046,859,108,460,241,092,945,843,242,614,
406,721,734,837,085,777,507,876,214,002,782,214,816,903,625,736,074,737,410,
724,237,846,866,394,226,161,094,680,691,157,914,782,975,150,235,364,931,946,
252,985,017,280,235,692,918,831,774,709,331,441,546,956,517,826,890,254,162,
272,980,025,293,754,964,022,375,185,400,719,814,762,895,584,109,240,285,485,
832,729,384,120,186,345,569,895,299,095,098,124,084,958,657,800,740,345,115,
086,054,601,529,031,810,446,984,402,294,039,849,201,283,078,715,269,045,593,
567,835,157,632,266,317,404,812,903,777,390,248,488,568,142,127,254,149,628,
509,050,701,873,689,422,157,889,654,276,861,853,553,930,649,483,524,509,873,
645,548,095,396,828,561,809,425,185,128,355,466,930,256,511,809,845,619,186,
928,975,276,257,114,466,068,426,630,655,205,005,521,987,237,259,325,748,761,
153,095,633,088,192,260,437,479,836,470,925,419,838,024,724,237,585,422,293,
410,146,060,339,669,123,322,095,411,155,235,435,620,170,243,469,464,816,860,
088,267,584,119,228,976,568,372,012,132,335,231,186,764,693,576,101,224,532,
385,505,276,954,347,965,438,508,487,150,867,689,881,135,832,235,966,647,518,
785,257,016,163,010,405,992,230,437,857,320,405,307,036,357,615,618,383,977,
478,959,778,577,905,254,548,647,806,854,648,095,758,202,633,227,676,546,486,
549,803,055,050,481,280,883,968,708,793,498,129,455,400,520,802,982,794,897,
157,348,987,027,693,460,173,703,794,697,168,553,279,338,929,952,018,368,035,
725,998,695,588,697,780,421,890,643,561,337,408,654,949,073,603,659,177,809,
547,568,170,257,563,611,543,273,531,515,576,083,762,550,948,764,608,503,254,
782,335,106,365,723,751,791,052,808,424,751,340,825,700,335,005,788,382,295,
415,394,421,448,726,183,721,645,649,117,573,104,972,693,795,458,841,541,014,
084,943,454,358,728,632,631,928,369,252,155,342,045,387,224,007,038,810,681,
327,086,156,897,699,589,946,567,518,161,253,115,956,225,237,718,785,646,101,
536,241,935,849,505,280,418,471,955,048,241,531,302,055,285,393,263,032,224,
935,440,585,367,336,099,823,109,934,584,887,345,394,013,778,381,874,710,183,
945,817,632,230,781,734,530,904,090,133,774,267,863,134,597,530,579,069,558,
905,522,834,243,184,498,065,454,276,604,354,178,022,433,649,053,979,589,696,
805,781,529,680,683,975,823,843,928,383,876,927,326,467,985,764,588,575,637,
133,411,647,415,440,066,602,675,063,982,539,761,953,999,629,311,593,081,639,
898,434,166,140,390,888,853,137,199,176,393,439,962,397,966,627,264,423,022,
018,148,808,333,152,141,803,292,956,188,865,732,609,802,930,291,530,606,110,
834,600,935,793,846,902,490,574,639,302,562,669,750,434,650,761,865,533,265,
794,716,788,017,217,914,277,816,607,640,249,718,289,231,342,826,525,308,489,
966,887,827,647,863,465,410,146,377,849,282,489,169,963,568,002,182,931,042,
036,911,001,755,586,088,614,043,883,739,325,808,595,626,669,129,094,988,627,
404,787,893,151,804,543,835,753,356,166,515,877,136,456,876,134,935,921,570,
390,678,946,966,345,716,340,710,821,969,231,608,299,429,247,091,462,868,334,
957,262,073,672,321,264,316,124,828,155,235,547,837,284,750,914,380,841,729,
274,434,101,115,771,763,812,146,094,911,821,825,415,454,015,675,047,602,665,
688,223,933,677,888,895,441,595,307,260,305,863,313,788,757,844,222,022,277,
504,027,942,576,105,781,463,561,493,443,501,914,590,248,506,454,284,112,664,
595,223,955,617,349,191,199,059,873,479,065,257,772,772,946,106,268,201,248,
498,449,965,447,375,849,738,089,156,629,835,798,551,639,050,177,790,566,981,
755,732,403,274,211,037,638,890,110,035,529,912,678,960,071,780,541,007,523,
735,149,876,349,149,147,608,862,907,084,951,957,015,319,545,622,007,360,303,
210,166,013,584,415,179,756,742,939,744,667,212,594,761,624,387,756,063,063,
909,842,639,385,386,165,114,711,660,963,308,307,503,980,925,106,405,904,680,
442,490,375,031,962,572,648,050,612,980,033,204,190,579,761,288,134,566,067,
305,172,450,589,631,127,319,474,743,515,726,378,745,910,874,735,563,186,342,
985,017,202,972,144,128,278,953,929,738,291,237,972,492,636,597,069,988,427,
725,968,402,833,871,236,092,411,101,908,305,000,762,656,735,001,991,936,048,
740,594,137,675,686,875,560,946,073,035,618,617,838,285,770,735,414,915,782,
772,368,369,494,591,086,833,488,883,133,788,948,171,891,808,390,469,639,149,
666,222,974,908,299,017,608,861,093,289,867,904,363,131,669,187,358,678,542,
043,541,347,499,537,481,673,001,422,699,936,654,655,182,988,748,836,041,268,
342,464,008,966,662,892,355,035,257,133,315,835,684,264,393,898,699,506,380,
956,894,939,983,462,916,588,461,257,199,492,649,817,555,778,202,529,108,702,
115,190,191,911,724,289,934,658,323,797,701,367,362,885,719,262,907,811,280,
642,970,030,717,670,485,430,263,085,509,048,064,584,409,054,066,548,659,335,
327,754,618,024,095,041,399,659,274,338,880,241,541,107,912,155,419,193,052,
645,232,680,909,962,911,553,164,066,450,066,333,601,118,460,347,577,516,146,
612,618,291,220,560,749,852,100,372,761,225,404,863,125,440,719,713,355,580,
176,926,816,336,164,376,447,364,083,356,395,545,571,544,669,414,186,973,175,
477,197,996,649,923,481,412,456,522,181,640,761,379,658,055,142,318,847,290,
733,556,444,870,919,090,243,644,903,048,171,876,883,002,405,898,234,388,387,
542,089,857,320,566,339,436,072,460,774,297,060,700,827,115,447,996,162,074,
901,800,112,030,957,840,394,593,981,956,382,987,402,556,712,628,407,752,918,
184,445,655,865,373,367,322,507,805,524,350,468,958,908,830,170,629,989,233,
895,760,395,483,182,023,195,567,649,596,947,690,729,333,577,637,098,252,980,
042,217,333,423,483,773,646,200,701,532,949,718,801,349,641,040,740,134,676,
777,902,163,888,254,670,700,303,462,082,323,475,038,959,638,859,960,457,584,
446,672,864,402,568,852,370,934,753,603,674,724,416,594,731,152,261,654,699,
414,550,402,018,223,019,020,476,010,101,158,047,303,011,560,478,853,031,651,
068,659,833,955,389,263,626,263,208,516,388,513,051,242,416,909,672,390,536,
408,774,077,324,964,595,931,448,132,659,681,074,039,593,553,712,560,905,920,
068,324,231,614,106,019,836,982,717,406,063,636,883,007,538,529,235,527,617,
092,541,865,857,891,559,626,251,690,476,084,949,284,684,695,922,481,613,204,
128,914,891,233,687,478,467,243,713,593,268,789,471,521,205,201,361,543,564,
469,253,192,898,842,536,771,179,438,908,786,417,712,543,537,428,493,405,074,
344,697,385,210,419,528,165,049,652,021,209,006,813,873,003,811,198,598,009,
854,260,829,974,269,105,986,695,900,635,640,215,708,580,067,414,347,115,883,
893,164,136,850,805,163,043,346,029,407,061,365,654,153,509,952,079,488,247,
794,899,223,602,943,196,447,230,024,246,570,659,974,524,886,477,088,306,309,
990,474,832,986,787,229,085,292,881,920,173,547,761,121,232,433,631,146,609,
631,980,427,413,243,415,150,020,222,456,063,197,423,420,290,305,475,571,793,
254,507,284,196,327,781,434,566,228,547,610,059,244,454,773,559,651,478,652,
085,825,025,439,684,570,170,226,388,475,851,881,092,439,670,421,040,872,561,
618,202,219,153,506,406,519,746,630,060,753,661,897,768,709,628,274,939,710,
908,617,476,428,686,700,027,990,932,961,944,403,554,189,262,743,240,383,426,
205,009,836,492,440,151,475,417,373,171,342,585,512,968,789,673,915,000,029,
257,097,872,424,420,800,015,544,725,773,964,559,781,864,258,555,014,358,031,
367,680,333,722,359,971,685,882,011,294,610,567,586,887,793,121,871,978,371,
690,763,285,133,321,422,489,703,775,620,973,311,889,442,909,695,518,589,903,
810,369,627,166,020,098,665,077,847,188,720,990,256,870,744,129,748,074,979,
805,055,600,903,831,379,405,439,439,800,807,866,906,484,372,543,655,427,749,
256,135,577,884,934,411,570,137,005,800,909,300,123,448,345,205,696,353,717,
755,332,481,098,104,780,764,578,497,574,030,479,742,399,478,800,657,099,424,
165,936,982,035,238,055,144,657,185,389,939,005,199,417,772,654,632,496,774,
855,273,848,116,219,245,837,482,590,662,059,766,672,020,839,141,117,821,996,
878,993,317,533,609,717,554,422,954,327,399,316,108,716,905,782,380,262,378,
443,466,720,005,257,978,832,574,678,951,143,574,754,486,971,816,722,318,913,
962,426,970,475,035,984,627,354,030,072,502,699,565,715,830,421,303,270,703,
665,897,232,591,682,108,519,174,626,869,939,350,231,460,772,627,594,946,148,
006,019,112,954,778,460,584,464,412,742,123,279,850,590,897,697,112,316,720,
708,224,708,282,561,075,764,743,387,354,757,337,209,498,967,186,061,947,872,
412,989,359,218,299,095,173,866,006,122,423,904,028,353,475,287,473,807,184,
512,444,031,079,650,803,437,154,267,923,065,813,626,335,684,033,101,664,647,
050,168,977,313,888,754,673,399,075,306,057,226,096,029,986,331,316,342,397,
358,263,219,921,762,606,282,692,634,752,606,148,753,087,912,656,654,570,033,
047,141,462,885,782,668,051,802,054,895,249,953,437,129,347,019,460,242,105,
586,057,908,794,825,807,777,012,109,394,104,803,635,707,870,550,557,597,460,
857,763,001,578,388,824,523,153,134,145,388,377,073,694,431,029,874,836,613,
189,727,970,794,371,983,356,020,493,539,821,420,981,100,698,828,386,921,044,
809,175,191,375,487,901,022,384,063,890,680,647,776,318,885,101,023,270,861,
223,061,924,799,573,528,022,991,935,750,641,869,773,200,361,483,532,312,508,
719,220,354,665,959,603,771,818,963,700,650,815,731,012,199,570,179,296,641,
338,205,448,392,292,901,876,250,042,193,612,572,943,689,123,657,013,416,998,
002,092,664,106,175,611,073,620,190,387,600,968,896,398,060,036,381,129,343,
557,420,223,966,555,332,531,218,101,541,502,107,544,559,095,180,244,136,834,
258,378,849,315,636,258,611,311,385,362,770,113,486,583,789,497,954,013,567,
785,270,212,654,904,981,426,901,978,303,763,809,933,774,300,927,254,118,690,
659,525,941,145,377,361,609,214,179,053,335,930,368,193,969,642,187,528,146,
127,326,096,103,342,528,975,598,660,062,565,229,306,446,984,114,313,959,780,
876,513,758,385,151,014,939,998,339,749,260,938,213,350,721,739,523,646,146,
541,493,569,412,579,168,349,026,265,639,500,507,390,742,396,963,708,015,682,
066,418,534,247,305,307,376,973,441,414,703,789,608,053,400,896,842,940,473,
823,148,693,253,713,440,162,819,107,873,259,546,746,561,901,010,538,441,499,
083,122,527,389,855,279,412,241,926,549,604,558,493,685,417,846,654,475,223,
860,473,561,455,049,493,513,233,294,492,186,634,597,912,935,574,633,113,709,
489,631,072,455,115,055,080,297,509,936,632,968,118,544,959,465,637,333,841,
812,990,533,000,081,383,367,052,638,908,081,241,178,452,541,638,906,264,979,
568,397,245,597,758,907,123,749,645,980,575,635,900,474,688,533,110,600,347,
796,576,678,166,341,976,112,608,024,221,375,077,240,630,110,610,314,836,685,
317,113,643,856,243,899,768,950,557,565,528,079,132,876,622,011,072,390,698,
682,855,225,915,177,583,721,664,869,889,927,136,847,619,459,289,566,815,809,
587,164,068,893,928,835,910,902,104,569,304,252,144,795,269,565,610,566,167,
379,640,024,186,716,861,210,502,363,562,746,164,128,772,995,498,788,854,929,
701,219,710,932,354,346,607,022,302,187,566,386,422,580,342,197,985,315,554,
524,407,209,381,819,860,840,690,940,208,421,333,355,327,723,331,449,481,004,
973,198,548,797,537,099,610,509,745,621,377,825,921,108,048,387,623,187,524,
916,751,629,056,500,896,802,794,559,337,442,132,867,440,917,236,439,062,699,
210,426,048,692,195,814,333,122,192,917,031,020,000,703,294,624,281,433,188,
250,659,915,922,697,418,964,133,838,227,965,520,003,946,309,628,402,890,560,
231,213,032,168,954,064,330,251,861,026,716,586,993,397,080,929,674,170,777,
147,406,133,323,738,415,074,289,934,370,268,222,139,979,920,031,631,222,314,
288,484,123,379,902,963,828,513,561,655,008,829,820,964,046,173,524,216,999,
037,750,407,168,485,622,075,446,870,260,711,377,152,222,993,656,718,539,319,
637,836,805,239,656,582,090,072,464,830,779,114,825,245,377,868,844,674,560,
937,868,182,994,367,660,096,514,211,733,346,060,263,588,752,108,710,901,508,
878,963,273,747,677,542,881,763,476,721,503,202,166,209,011,797,770,053,382,
387,859,117,604,127,476,448,495,398,073,983,353,512,195,900,796,056,543,669,
553,214,465,518,537,595,048,936,792,944,367,774,446,957,075,982,168,478,813,
458,792,382,895,313,970,349,385,983,671,701,947,581,015,735,156,650,268,065,
439,687,812,761,471,826,739,042,668,504,453,575,605,199,312,362,075,822,660,
894,959,831,554,824,652,784,611,116,254,622,738,054,675,861,780,268,216,649,
745,451,480,912,408,178,506,289,522,464,823,493,055,602,530,172,068,100,004,
743,659,604,851,160,876,922,702,553,637,623,791,369,995,633,422,843,314,107,
313,564,703,255,177,378,540,878,329,588,191,023,516,573,597,746,191,516,920,
129,596,891,884,697,574,989,211,448,719,217,664,998,206,549,498,935,985,960,
297,511,633,333,130,843,259,992,531,425,175,586,971,241,733,203,875,332,068,
391,230,806,761,249,684,313,981,816,305,230,270,023,812,372,811,723,403,776,
275,248,442,419,180,763,305,232,537,920,488,835,622,814,010,738,571,577,068,
831,637,041,649,618,580,075,661,452,841,397,807,525,261,578,043,266,476,493,
445,976,304,702,845,484,037,586,839,425,108,510,067,069,124,133,572,155,090,
002,684,605,701,546,670,369,951,075,456,809,904,660,354,875,469,333,145,956,
064,061,554,999,671,551,148,837,367,274,854,946,327,143,816,295,106,852,075,
343,376,984,816,882,754,047,817,460,426,675,857,025,049,670,783,516,594,044,
626,100,301,865,495,263,485,947,078,741,548,634,792,026,424,479,997,404,805,
717,718,666,435,586,951,822,168,604,135,790,137,301,011,936,952,196,562,547,
897,711,539,948,430,062,820,858,762,458,632,630,439,730,872,465,284,702,054,
551,475,648,991,932,599,176,285,650,659,967,874,641,194,200,280,061,769,402,
045,768,618,696,257,244,185,390,852,734,703,179,354,302,050,697,771,711,745,
318,652,622,566,340,172,706,711,649,363,174,622,636,334,203,063,924,490,805,
214,391,890,327,189,196,832,229,744,596,688,164,139,645,775,784,412,669,693,
598,138,377,488,779,422,258,531,888,205,306,508,045,430,687,544,377,388,058,
004,393,916,354,905,326,695,659,169,785,743,648,662,750,134,279,989,957,169,
727,764,529,841,268,881,012,082,358,709,895,715,980,223,768,400,930,152,526,
826,932,236,257,474,533,315,763,838,431,937,449,435,824,067,521,940,886,808,
073,700,132,355,871,588,161,714,228,548,158,096,919,742,160,201,713,653,722,
413,076,744,704,737,822,094,106,167,205,081,667,628,968,648,194,916,528,421,
156,054,372,005,752,817,641,540,467,734,898,544,237,724,036,442,474,638,548,
185,254,601,402,069,160,175,984,216,493,269,522,666,484,853,338,987,159,590,
429,183,355,452,227,618,103,775,355,030,202,110,943,134,973,245,827,889,744,
743,215,031,736,410,326,027,920,806,944,097,127,021,198,433,505,968,900,877,
869,558,379,212,090,784,246,750,912,116,954,025,826,108,290,362,401,975,319,
112,961,005,060,580,160,623,720,783,001,921,563,049,129,492,584,049,186,315,
463,006,334,072,636,659,802,553,031,096,594,896,185,967,947,559,169,825,291,
660,908,519,235,085,599,136,018,972,477,377,605,940,559,866,316,970,608,537,
089,779,441,169,775,118,166,735,660,931,208,322,845,666,067,812,427,479,183,
469,430,412,229,385,382,130,042,932,257,096,490,946,694,777,389,960,679,356,
889,211,289,014,835,139,947,854,130,905,160,317,435,153,129,609,103,690,676,
617,375,667,201,672,810,328,363,165,176,632,380,178,718,545,237,155,618,220,
285,854,212,924,375,441,232,034,450,036,273,431,770,614,000,346,768,031,604,
431,575,353,886,697,153,299,941,225,579,624,043,610,712,525,249,843,728,868,
888,552,544,188,820,276,796,502,120,701,599,198,666,656,413,638,467,520,965,
344,709,451,545,720,900,772,739,555,364,708,539,633,543,833,104,645,999,112,
786,245,690,544,973,548,094,059,663,857,794,027,045,377,892,193,882,227,785,
631,819,478,360,802,769,178,775,230,240,902,770,426,947,964,215,956,453,217,
466,455,411,013,213,450,739,017,654,635,002,318,428,943,863,350,509,421,854,
649,316,709,217,764,134,231,593,446,702,184,723,789,414,948,501,932,529,058,
247,712,096,991,705,554,646,609,107,467,255,304,880,818,833,549,241,829,720,
556,763,509,748,435,559,344,143,593,679,147,014,538,658,836,580,064,402,226,
473,520,182,489,742,321,526,078,463,675,232,834,615,069,197,060,054,000,030,
420,001,071,571,760,096,886,245,194,881,532,170,223,121,500,447,671,197,687,
664,486,402,721,398,691,579,794,847,518,928,938,922,424,398,150,360,895,808,
180,073,091,112,743,530,279,806,117,371,018,289,145,368,361,991,805,782,078,
982,641,526,137,769,398,053,867,809,908,934,618,493,099,092,135,068,435,502,
524,654,091,183,148,719,730,727,198,656,427,953,803,721,182,880,646,224,799,
951,342,813,585,450,442,491,783,715,737,806,251,792,648,804,105,465,326,969,
287,276,346,210,969,069,849,861,406,220,895,682,501,150,034,434,597,798,847,
724,321,992,556,786,185,599,374,166,796,613,262,471,303,416,930,092,482,298,
110,260,056,309,407,482,873,131,981,049,667,222,167,942,779,484,853,734,855,
927,229,751,194,455,193,961,087,016,828,637,888,432,812,009,437,629,497,591,
623,764,852,329,210,744,610,390,342,998,058,684,278,347,062,387,886,231,416,
752,605,709,802,587,398,716,966,776,375,933,770,587,468,710,863,047,343,994,
156,971,897,138,618,925,048,815,041,776,534,434,311,354,115,508,931,291,223,
239,707,026,755,604,562,239,991,720,026,615,463,147,895,955,274,876,654,823,
583,934,502,960,436,795,017,726,880,595,781,985,573,465,917,299,453,233,798,
266,495,832,209,163,540,598,713,860,170,238,054,614,024,417,825,497,974,875,
653,554,517,037,386,592,303,475,695,134,017,679,389,459,250,186,836,652,490,
056,665,147,467,378,956,165,066,645,756,490,243,214,061,950,471,041,806,337,
677,388,424,009,903,331,437,757,743,678,129,578,555,979,230,149,723,127,112,
879,443,567,818,153,813,691,583,855,668,508,147,207,229,259,310,511,008,267,
963,742,135,985,309,710,814,128,538,121,943,738,989,959,004,673,063,617,244,
130,782,456,943,629,055,669,109,384,272,839,842,948,654,215,657,978,160,119,
669,296,630,500,312,135,954,363,308,176,107,698,371,207,373,305,848,166,542,
615,624,564,360,116,843,540,981,536,319,824,614,647,347,945,865,680,094,317,
176,766,338,220,616,521,667,156,517,341,100,382,363,560,127,437,551,077,347,
740,864,788,312,341,776,259,317,731,892,131,229,791,377,346,036,854,368,153,
465,770,071,430,358,790,314,511,106,114,666,047,416,769,869,336,494,632,884,
250,883,770,482,884,525,652,090,681,895,163,602,459,182,551,708,331,463,582,
481,370,960,146,750,652,607,571,192,593,181,221,551,074,889,211,764,329,273,
194,116,942,242,022,353,525,286,111,011,355,672,432,905,500,762,998,487,786,
667,815,443,464,856,291,364,586,995,794,182,454,665,037,414,001,149,988,149,
444,982,431,397,332,691,450,933,930,958,850,690,976,746,170,587,475,044,935,
893,119,490,789,411,897,338,458,352,048,911,476,480,666,438,064,850,672,852,
461,486,125,850,302,037,379,433,606,988,964,377,704,680,733,080,141,151,667,
482,873,465,796,490,778,444,021,063,759,680,493,749,823,738,202,888,976,089,
634,872,177,999,097,804,278,002,219,665,930,485,168,459,834,808,882,333,817,
590,033,380,017,100,860,571,588,780,480,136,940,986,012,598,368,611,761,226,
478,062,893,049,859,590,124,099,157,412,912,499,134,289,954,953,973,798,580,
212,197,515,668,208,676,834,282,975,407,921,446,565,590,134,048,112,811,210,
897,314,439,760,534,725,027,590,551,813,372,881,059,313,427,144,576,055,262,
717,164,406,388,916,804,881,201,916,752,808,027,579,344,230,520,005,810,289,
946,551,293,835,725,629,431,688,032,358,445,678,963,423,597,466,589,678,102,
592,709,815,032,296,197,906,684,881,672,608,235,182,370,633,613,590,448,409,
267,337,072,331,627,505,422,819,365,281,742,135,938,536,572,050,380,616,802,
313,677,925,296,954,163,446,594,889,663,381,689,301,764,498,590,506,894,589,
152,436,419,173,676,826,302,484,521,434,523,147,797,091,764,896,425,515,559,
782,051,606,648,420,127,870,936,170,342,631,830,665,455,465,653,130,440,264,
712,207,123,615,011,128,865,983,272,238,617,664,051,167,193,296,347,676,792,
947,316,268,756,050,778,745,322,469,595,311,650,299,571,620,663,997,978,544,
923,224,818,436,441,524,887,591,156,113,509,251,860,554,915,289,551,123,047,
310,707,973,812,873,273,930,417,898,586,472,552,614,224,949,496,110,230,032,
005,933,169,088,639,328,254,223,824,689,496,648,207,274,443,173,779,490,271,
188,283,309,371,236,624,147,653,225,605,488,771,816,881,094,556,361,715,038,
408,798,916,261,292,475,895,342,062,597,687,465,313,854,163,862,308,300,891,
383,426,697,361,517,198,554,710,118,578,735,305,580,710,654,904,185,485,811,
839,260,917,613,625,942,914,955,834,569,309,195,765,601,655,644,574,865,811,
298,795,824,914,112,820,554,231,943,770,123,659,142,113,544,447,797,337,262,
125,242,658,297,623,308,916,262,603,193,628,962,223,849,925,616,779,393,246,
668,853,206,095,443,327,728,395,464,628,278,688,157,730,774,049,668,056,301,
133,192,439,288,205,132,008,142,992,065,957,943,663,343,993,220,852,105,201,
511,629,254,905,509,989,388,529,141,349,105,471,033,612,796,196,422,617,093,
635,691,733,507,777,663,054,840,177,680,100,288,613,999,824,179,598,982,066,
310,413,352,471,731,885,539,734,629,726,674,529,062,480,968,033,382,815,112,
845,291,718,978,839,710,725,764,093,438,899,625,007,369,012,545,590,697,695,
670,573,492,055,613,589,123,581,854,176,136,576,138,959,369,837,566,578,711,
510,629,476,049,560,652,356,905,750,109,315,786,023,263,466,879,525,112,892,
874,764,282,146,386,485,380,284,908,622,379,367,086,995,142,195,913,168,523,
865,547,196,080,487,168,514,972,673,739,100,657,251,869,066,069,776,419,809,
866,924,711,862,397,533,839,484,111,788,929,960,354,862,096,761,686,987,635,
320,182,857,311,930,641,099,982,888,035,774,860,207,505,334,337,621,113,391,
362,401,384,754,830,277,237,014,007,549,963,275,996,185,249,674,447,792,290,
753,708,870,987,762,748,241,992,597,382,292,566,432,975,640,815,986,794,782,
361,818,090,580,088,797,944,659,959,634,728,855,974,540,824,210,640,484,144,
169,447,742,256,943,808,376,293,262,815,959,689,885,035,974,460,011,380,279,
957,623,750,451,283,823,420,169,340,176,904,072,213,533,613,568,321,771,930,
220,817,249,921,420,997,426,085,001,753,085,698,646,872,313,937,800,267,897,
528,464,919,215,061,900,327,895,758,190,641,873,740,151,028,461,144,361,276,
200,698,982,719,176,544,796,372,646,330,133,525,257,753,371,218,584,631,202,
502,821,917,497,776,390,599,339,556,208,773,199,390,654,028,946,170,095,133,
703,512,408,297,431,081,117,511,550,553,348,228,773,828,404,698,902,189,310,
178,485,928,731,840,229,235,180,908,782,828,629,997,610,293,303,406,672,342,
110,865,541,965,151,142,054,823,486,824,932,935,541,522,649,422,837,026,556,
879,547,015,160,358,751,411,308,392,205,346,910,638,324,307,505,456,611,178,
370,795,247,576,929,797,188,546,555,805,500,201,833,796,033,006,008,732,853,
630,200,544,398,967,526,144,883,033,871,364,139,287,591,393,682,824,053,617,
371,339,874,198,401,020,618,208,395,509,675,799,925,352,605,856,783,351,670,
480,090,912,542,485,109,779,952,638,805,799,490,697,862,504,071,602,939,865,
245,474,728,490,485,652,355,056,777,044,650,061,944,546,206,896,376,456,142,
756,589,095,939,108,178,867,381,183,730,609,312,615,238,497,224,773,699,984,
718,141,271,479,918,194,402,451,360,653,560,010,146,638,979,702,534,729,352,
408,393,171,687,462,423,240,135,661,451,587,818,117,021,504,986,482,664,360,
280,248,257,687,900,523,422,280,915,030,063,942,340,166,448,168,680,945,976,
894,057,450,571,497,175,533,776,995,369,218,605,988,102,409,243,462,433,335,
781,026,861,520,767,416,034,933,886,898,743,319,997,271,445,675,633,153,150,
691,790,663,118,249,116,334,123,713,184,979,739,510,701,317,915,142,484,669,
643,195,437,962,721,760,200,307,848,926,892,631,994,207,028,855,962,412,801,
813,632,192,168,345,330,740,864,953,939,341,117,796,074,018,958,932,286,952,
996,756,002,121,446,566,449,293,623,769,125,182,925,512,876,698,745,328,920,
231,567,521,735,941,225,989,609,678,665,639,157,329,633,849,880,870,465,328,
524,774,423,360,524,458,579,727,988,809,500,786,373,655,554,975,026,182,561,
419,416,257,717,522,698,971,201,367,620,631,325,100,427,052,071,049,995,239,
581,821,682,899,366,926,335,853,564,942,576,472,061,551,636,289,810,909,326,
633,658,944,466,897,713,663,411,538,722,933,624,713,867,276,425,388,903,537,
218,963,687,946,121,424,067,619,269,611,403,389,662,496,129,126,445,200,258,
803,611,026,731,950,665,473,446,087,887,970,781,185,612,967,148,527,739,881,
453,697,754,828,977,652,973,968,315,395,429,425,948,300,270,712,372,469,117,
403,187,997,602,139,996,841,942,634,863,058,724,668,654,197,809,766,392,833,
966,312,841,827,875,068,856,090,225,347,893,788,728,225,603,286,580,878,376,
136,516,483,949,454,371,315,670,074,521,245,509,466,332,502,309,562,304,658,
492,429,900,287,521,428,719,307,994,526,687,975,342,338,581,267,745,251,246,
952,691,428,544,671,088,996,874,477,270,481,136,046,213,658,400,532,986,537,
910,807,528,493,675,946,706,542,803,481,119,972,450,672,270,482,657,200,536,
500,198,013,546,042,650,814,489,590,677,704,806,608,700,625,307,488,449,183,
542,533,821,153,324,733,163,592,070,305,789,588,100,557,084,482,344,219,736,
332,194,785,477,412,280,348,320,215,125,286,249,701,202,250,787,261,609,275,
984,602,365,568,386,158,369,672,563,888,506,898,071,770,108,300,651,442,308,
146,142,936,931,208,283,467,491,276,815,790,616,060,113,593,801,578,757,703,
576,804,942,554,643,103,665,181,707,071,957,509,666,646,410,790,852,267,686,
772,403,782,247,827,281,510,816,919,839,874,910,163,389,889,629,924,281,355,
844,269,674,338,495,397,296,611,008,983,267,995,794,715,581,788,947,400,253,
437,010,659,593,178,621,932,956,428,436,369,530,462,570,109,618,365,470,911,
427,550,365,572,854,073,734,823,732,339,325,361,931,721,050,974,963,921,648,
873,390,595,819,141,125,377,716,960,615,059,298,544,460,873,913,522,917,323,
060,409,653,272,807,555,129,097,913,128,240,502,212,876,849,459,323,588,080,
799,769,583,185,550,682,588,978,124,663,783,150,934,903,204,201,137,429,528,
338,488,599,715,444,565,382,691,409,961,153,832,587,450,235,884,110,305,803,
286,990,522,022,143,892,333,304,068,600,792,224,613,166,399,784,259,899,446,
493,037,541,734,005,929,715,615,779,869,024,065,629,082,666,311,776,362,547,
255,153,362,871,600,088,620,218,746,308,798,328,692,103,419,635,288,081,923,
640,270,142,187,577,102,346,732,767,062,514,270,150,023,166,847,517,247,854,
285,740,758,868,797,601,487,978,689,321,423,135,579,471,088,510,696,985,005,
824,872,690,792,457,659,008,458,217,958,372,876,097,249,905,285,866,352,005,
078,636,207,612,839,847,952,940,268,600,970,542,755,414,891,686,189,316,884,
446,651,164,320,779,456,874,109,200,055,467,059,042,567,380,018,831,587,935,
617,580,420,571,965,372,309,041,631,162,465,717,523,673,314,328,619,475,510,
800,531,277,114,928,506,020,799,050,259,401,843,929,229,404,556,597,772,638,
067,751,298,305,512,743,977,608,998,910,842,119,594,383,147,919,263,777,943,
962,387,178,617,140,134,864,782,565,665,979,907,245,054,104,086,228,631,750,
210,440,373,182,982,560,807,593,690,160,000,946,327,848,619,917,720,224,539,
176,096,555,503,142,769,333,731,619,744,241,502,021,591,429,437,780,075,474,
822,866,403,491,459,939,737,373,681,111,825,025,905,670,391,165,836,088,005,
947,081,045,883,009,347,178,492,817,779,885,842,657,453,314,927,132,297,579,
371,296,243,404,744,693,892,195,061,675,404,474,159,457,693,345,072,854,394,
364,237,503,313,280,954,649,510,221,337,719,513,568,145,290,867,999,968,265,
422,412,969,363,599,784,490,167,762,493,905,649,429,253,989,708,983,244,242,
086,267,842,539,730,394,631,439,636,549,454,167,237,299,242,866,967,939,275,
554,019,206,529,794,549,758,676,554,356,687,512,892,656,476,271,658,452,895,
505,139,942,629,175,871,690,700,316,809,886,452,443,460,858,663,361,624,608,
573,121,191,608,995,134,163,622,375,342,407,779,337,457,025,532,635,890,432,
062,550,447,046,925,962,510,134,985,651,327,074,404,143,504,320,652,014,344,
189,822,180,535,013,680,772,212,050,060,448,291,562,784,964,532,390,070,068,
341,288,449,072,991,949,897,038,919,635,549,471,840,276,766,497,981,324,795,
236,760,841,956,068,646,201,331,481,596,270,530,425,978,885,254,590,408,596,
689,460,073,659,778,173,104,463,211,919,225,682,367,899,538,783,131,205,529,
462,058,693,966,815,197,384,939,352,247,947,854,521,973,781,122,124,375,540,
636,405,231,421,152,942,932,746,951,153,403,313,705,038,514,494,729,726,728,
278,714,068,173,123,009,148,229,026,791,316,770,818,041,418,162,643,698,510,
033,931,735,094,814,367,720,816,097,858,112,818,838,625,706,652,159,015,588,
419,091,889,050,212,121,056,042,034,825,702,840,608,508,850,408,429,008,287,
104,927,997,886,785,978,505,034,546,745,473,924,445,475,995,893,076,304,851,
554,232,493,179,690,114,258,969,465,453,546,200,812,762,264,816,334,693,612,
792,977,786,543,820,916,817,459,390,253,019,113,009,532,077,519,924,238,885,
167,066,544,751,996,467,672,057,620,455,548,801,674,074,130,120,583,976,538,
986,824,159,220,064,119,580,280,793,855,611,376,051,612,914,221,461,762,398,
747,029,675,289,813,122,312,114,352,706,507,654,528,074,437,472,735,042,113,
485,671,789,993,588,991,108,468,511,519,880,894,176,926,548,726,655,445,643,
893,516,795,896,694,820,202,685,886,755,090,161,507,808,374,899,670,260,093,
421,253,837,379,301,235,855,960,424,318,469,448,261,543,413,114,574,462,122,
961,382,813,426,517,725,825,262,680,022,647,876,233,026,978,348,585,345,510,
511,688,855,093,164,116,796,544,216,140,940,078,095,115,096,584,031,188,888,
255,354,603,630,844,553,279,236,104,587,434,242,351,273,967,020,572,384,466,
303,813,726,160,374,295,394,932,062,825,947,739,925,102,446,660,191,541,323,
292,787,699,426,840,797,962,350,529,426,169,830,809,147,964,938,851,623,751,
788,397,590,531,107,490,932,052,447,920,263,373,332,957,587,144,792,859,982,
746,877,422,276,789,104,894,211,369,652,221,556,894,555,017,365,744,585,627,
902,680,657,235,436,420,408,352,439,685,775,567,420,718,898,249,921,759,146,
238,120,995,151,969,482,181,009,339,456,963,726,484,875,558,360,930,119,934,
638,242,628,254,980,353,455,277,826,943,635,496,516,962,562,877,665,247,118,
399,162,998,147,193,116,351,632,519,225,685,766,180,679,284,517,959,611,592,
148,771,061,294,978,401,087,857,594,496,364,554,149,707,478,594,653,367,033,
541,622,662,294,149,297,431,071,531,272,616,301,282,528,213,310,954,549,591,
025,900,721,681,424,578,316,664,864,576,077,721,146,401,640,910,692,587,263,
782,767,147,614,633,479,053,599,760,774,010,450,548,840,591,087,494,510,636,
335,193,028,405,004,755,490,306,923,491,008,577,610,399,243,876,373,693,762,
993,721,768,320,796,772,584,978,443,798,801,582,324,071,704,135,364,056,739,
988,334,667,911,934,687,690,397,519,303,985,882,726,598,833,324,050,473,859,
697,463,044,383,979,594,833,513,770,621,968,308,176,978,291,284,881,953,354,
789,558,689,956,555,295,985,145,305,461,394,539,372,023,565,499,426,612,129,
744,363,484,586,959,485,301,529,093,348,659,686,103,680,597,403,858,056,793,
027,582,414,084,756,185,878,010,668,255,691,334,507,226,377,586,192,145,905,
236,004,643,525,628,227,416,290,669,797,899,414,472,816,115,233,893,617,680,
349,194,014,054,541,473,125,668,953,743,760,695,389,254,875,569,499,388,810,
143,244,219,550,205,617,005,028,144,054,534,227,726,804,728,124,244,551,979,
739,441,664,871,650,201,081,619,220,821,710,816,393,394,644,306,798,605,501,
297,951,688,217,880,672,644,860,644,610,062,580,887,922,777,010,580,434,268,
082,741,215,049,001,058,938,435,364,771,741,893,089,982,218,081,609,518,113,
599,408,833,671,099,291,314,004,272,027,041,227,316,498,684,962,522,952,554,
401,475,742,203,877,782,372,463,974,562,039,200,222,239,344,811,033,073,104,
815,544,179,919,032,541,710,749,081,027,486,800,751,834,554,743,107,903,371,
161,865,211,621,583,788,457,369,758,636,011,986,458,741,589,019,130,364,201,
062,055,443,945,116,884,612,792,147,655,531,614,440,648,162,257,767,295,390,
259,967,922,030,836,939,494,396,800,146,026,555,824,387,724,091,687,089,228,
500,241,097,080,514,733,883,918,066,980,329,784,694,828,672,137,920,707,759,
220,183,300,742,659,941,796,668,508,959,278,533,053,123,457,244,939,176,523,
473,639,798,534,625,496,716,936,555,589,993,921,918,418,641,553,500,263,831,
161,215,759,147,573,882,996,655,702,676,431,939,472,312,819,685,304,467,528,
055,312,914,415,039,375,293,758,202,025,904,286,005,524,762,228,692,534,048,
621,917,693,976,471,485,462,679,650,907,368,684,450,040,591,892,679,926,465,
540,534,068,441,452,662,461,167,018,667,774,361,476,810,071,237,297,637,637,
085,833,886,315,433,895,569,298,429,903,820,393,970,698,648,022,440,075,456,
885,394,450,851,889,274,332,138,076,309,638,307,693,089,048,213,189,424,299,
106,829,446,371,140,535,780,009,796,151,693,669,738,080,529,365,969,577,593,
886,282,843,135,591,044,760,126,585,987,676,740,944,733,115,512,820,011,466,
296,805,794,773,552,467,788,914,033,513,707,164,320,881,985,952,129,271,976,
086,221,259,171,543,709,115,479,498,164,951,936,468,775,196,245,509,743,520,
058,823,480,491,676,584,850,859,345,441,846,858,854,279,155,460,741,928,089,
496,885,750,417,773,541,933,231,658,619,090,750,716,412,306,138,661,295,555,
092,495,600,793,230,514,611,046,463,542,760,818,094,684,841,220,072,820,902,
120,883,762,504,089,846,206,761,530,117,745,411,529,558,337,382,148,522,653,
437,279,708,825,792,225,000,088,225,534,192,904,712,680,479,162,245,266,245,
409,277,724,658,738,538,355,590,134,073,966,629,772,274,949,685,343,153,302,
898,114,901,826,921,345,008,678,763,556,040,454,457,105,867,714,833,385,348,
555,809,493,232,281,321,024,608,861,847,646,177,059,096,490,570,177,796,583,
429,888,386,903,035,021,970,279,880,048,611,261,414,283,365,359,605,677,438,
167,332,711,798,436,563,900,816,943,636,986,708,910,941,300,870,390,536,096,
580,467,983,149,958,628,413,357,677,103,976,074,306,336,219,032,193,731,768,
522,206,705,187,245,893,041,161,159,293,016,133,648,056,847,600,474,622,871,
628,586,029,261,489,328,144,662,328,716,411,221,185,622,229,478,744,972,875,
037,021,274,125,387,636,018,618,242,878,672,047,439,395,182,631,453,133,810,
222,688,106,564,674,334,694,216,305,858,451,586,412,862,907,761,912,080,381,
126,129,758,727,782,281,159,257,489,956,718,736,566,193,482,787,667,420,820,
193,875,886,836,784,843,241,010,773,161,760,556,564,751,231,953,619,104,839,
851,003,167,745,437,368,712,051,394,237,956,517,400,916,074,782,395,893,513,
943,418,479,906,429,989,895,118,019,908,041,564,328,565,977,426,284,074,173,
929,568,627,948,854,077,880,433,924,279,940,048,030,384,930,799,868,508,608,
149,042,838,982,017,015,444,657,516,165,845,117,301,127,843,735,318,164,802,
593,993,761,813,346,672,867,762,648,154,201,746,084,268,754,569,575,172,765,
576,357,747,928,327,730,732,539,754,172,186,145,926,454,591,549,707,379,343,
429,886,390,511,890,660,147,394,489,958,868,639,932,574,487,101,392,044,685,
449,813,754,576,652,380,607,602,915,050,732,621,080,914,082,298,279,888,169,
106,746,768,788,226,601,234,480,864,465,880,143,681,659,495,949,430,576,259,
381,383,651,588,134,058,478,050,003,183,432,276,287,724,431,570,601,495,555,
805,049,848,660,931,474,651,139,157,328,092,151,805,528,508,523,073,841,083,
576,989,235,792,345,369,434,163,274,563,158,399,596,010,801,578,709,608,274,
306,099,450,361,224,846,927,148,847,644,895,853,370,004,260,713,214,500,454,
411,736,634,384,909,292,025,906,679,842,200,430,093,532,073,081,045,986,790,
856,886,149,270,404,859,507,620,019,896,723,130,127,594,954,279,729,218,747,
011,933,362,860,400,165,572,993,297,740,514,996,594,151,930,851,097,193,039,
487,276,280,027,959,993,557,246,118,773,539,063,104,063,388,308,408,990,637,
223,932,982,673,175,679,064,960,691,788,023,096,545,283,439,256,788,036,436,
779,418,427,856,899,553,623,651,278,573,678,513,246,044,004,120,349,433,998,
786,087,835,020,743,712,461,869,181,106,253,182,686,886,866,848,108,684,240,
090,390,986,535,155,580,869,062,750,653,565,409,572,460,888,508,622,391,774,
161,303,931,100,315,735,078,707,090,963,800,314,556,320,247,395,211,464,060,
163,349,136,357,164,833,639,006,741,879,138,763,066,536,670,785,983,140,684,
189,628,918,744,694,406,484,789,770,818,373,481,322,205,018,295,362,753,741,
754,361,777,084,107,389,996,323,063,142,491,135,188,595,630,316,528,922,906,
792,586,357,511,845,871,290,092,933,832,654,955,035,161,856,369,632,605,867,
069,503,281,426,377,573,396,436,817,582,358,261,734,479,729,805,576,950,791,
080,464,563,808,699,810,834,494,386,804,957,064,486,216,956,353,074,713,112,
981,776,644,485,337,834,364,868,867,251,031,487,721,064,091,001,572,683,573,
278,300,195,595,232,532,496,271,169,869,812,841,924,686,233,743,911,803,684,
622,970,383,318,424,250,243,016,055,886,673,408,096,574,212,991,363,454,935,
172,443,859,011,768,472,094,610,309,252,239,949,139,380,132,740,023,770,270,
921,337,814,551,903,599,879,330,242,450,610,268,395,338,403,130,244,899,228,
121,181,117,228,976,004,278,922,569,042,761,491,038,513,007,455,597,168,099,
944,452,230,950,979,965,714,076,711,824,859,603,210,287,637,691,940,625,825,
509,078,116,706,303,070,933,455,845,912,216,481,890,268,094,208,670,027,977,
742,218,780,044,984,175,456,523,548,146,026,613,872,023,705,984,505,110,821,
298,264,434,727,142,420,909,243,008,081,713,736,182,624,726,762,552,592,075,
061,610,443,978,133,605,332,294,305,580,141,239,986,966,814,121,323,757,315,
310,860,548,513,237,689,786,366,529,221,260,935,882,882,098,995,571,761,929,
314,865,806,402,160,771,618,911,463,874,898,649,029,606,140,894,389,569,421,
859,350,530,849,703,217,983,449,090,962,638,270,422,903,326,072,845,689,836,
284,840,151,299,734,674,161,498,246,926,241,491,233,705,958,872,688,805,310,
079,959,734,288,946,175,900,201,429,321,834,241,114,237,487,680,582,388,390,
909,954,446,147,680,774,192,184,626,552,460,445,665,743,715,341,975,868,523,
612,963,853,305,791,522,397,778,301,844,461,511,349,022,202,171,487,699,661,
697,306,602,106,361,973,084,425,105,414,797,516,670,967,597,776,760,710,530,
647,220,811,693,064,352,503,295,054,900,075,837,837,505,746,592,419,110,400,
613,519,397,504,372,617,776,614,717,572,243,969,999,434,021,764,788,913,583,
851,421,443,402,971,078,597,904,002,427,993,999,926,196,185,355,048,247,919,
737,711,512,626,133,009,269,871,094,512,466,000,709,010,174,076,067,670,821,
727,629,699,258,718,087,044,721,724,272,135,286,543,505,326,490,641,697,951,
675,777,798,065,609,833,937,798,738,485,129,346,578,980,175,814,798,932,903,
311,027,636,645,510,692,144,893,534,571,323,231,838,666,100,409,800,849,488,
855,985,629,009,758,009,979,036,384,783,721,494,952,498,365,242,296,917,074,
682,552,761,262,647,503,518,620,958,767,709,067,966,532,427,065,784,688,162,
914,629,231,367,605,593,276,612,365,737,479,079,285,505,292,024,486,794,613,
778,704,359,788,148,473,165,930,524,526,389,043,745,999,560,385,492,944,122,
534,261,819,604,753,094,074,355,926,436,519,923,929,182,972,397,803,478,310,
953,527,100,662,878,831,953,941,919,770,012,308,469,500,845,456,459,358,243,
469,939,601,005,118,317,191,178,041,988,614,159,562,613,160,266,021,020,506,
012,323,482,553,951,871,401,801,019,608,058,317,416,690,524,820,413,222,034,
031,657,628,711,126,868,124,998,748,474,719,041,568,068,925,597,454,391,101,
323,847,801,839,364,987,063,446,751,299,103,607,628,587,456,241,769,069,365,
781,066,360,630,679,376,533,056,009,658,245,294,405,221,724,111,865,399,295,
808,422,336,621,512,295,461,481,065,284,288,955,304,874,671,545,581,803,614,
480,132,714,403,367,757,381,071,710,016,990,822,794,164,048,500,970,040,265,
745,440,522,980,092,044,564,305,039,671,564,702,156,738,976,580,039,178,044,
067,434,413,894,149,827,692,344,074,560,218,417,677,997,302,055,542,230,322,
122,239,576,927,413,700,184,627,356,633,047,906,480,973,084,773,803,200,113,
319,979,317,931,461,682,061,566,794,561,552,033,473,029,908,380,922,825,647,
579,544,964,606,548,630,284,357,994,658,904,574,671,901,174,048,745,258,590,
789,026,367,391,032,558,443,907,901,931,255,569,808,757,156,024,039,386,590,
473,363,685,450,717,447,420,385,431,425,511,946,730,414,303,986,530,598,865,
824,942,687,126,430,300,619,344,040,648,720,619,586,886,780,382,287,368,791,
555,928,741,488,071,044,277,115,473,411,580,482,942,216,627,069,722,365,026,
766,581,275,016,616,055,076,848,587,145,461,839,504,989,388,991,738,291,169,
441,088,467,719,657,808,966,897,040,606,502,835,452,546,645,926,404,365,299,
403,914,336,609,296,049,829,278,099,071,631,065,920,865,753,273,192,998,063,
020,416,105,975,173,178,564,109,681,942,425,603,970,866,955,775,244,636,114,
077,939,479,804,949,972,449,853,092,846,797,962,355,081,599,350,601,226,891,
280,401,078,124,379,010,909,732,734,765,630,732,218,478,428,637,396,831,098,
900,057,096,788,019,341,879,986,631,688,609,516,935,790,518,628,539,418,481,
659,018,646,666,135,498,349,798,860,606,778,891,640,746,535,862,276,275,152,
348,068,825,535,411,096,324,796,988,523,660,871,316,117,546,856,859,107,384,
011,305,254,743,733,359,163,528,511,020,576,853,300,683,782,374,345,653,693,
682,066,500,955,033,405,195,766,673,199,635,240,448,147,279,662,363,212,223,
722,302,196,492,857,081,922,787,033,352,773,183,538,262,453,150,126,185,818,
811,176,569,471,945,623,066,986,679,103,511,291,032,727,483,416,518,938,723,
436,099,925,168,926,143,284,220,095,876,074,360,049,154,207,034,665,123,531,
235,437,612,608,043,852,540,208,225,353,502,332,129,873,262,883,617,797,015,
375,619,525,971,471,718,952,737,613,686,308,274,736,468,502,117,303,256,762,
791,689,426,749,988,829,084,564,408,952,986,386,378,141,356,890,335,815,437,
046,867,912,394,051,719,016,541,834,229,928,934,807,782,962,790,127,304,009,
711,602,664,698,866,068,605,735,273,229,240,956,624,716,863,825,295,205,031,
136,974,639,086,286,888,044,689,817,761,551,616,391,446,105,792,363,655,424,
023,221,877,885,048,932,225,418,390,133,361,029,647,568,006,707,659,742,692,
424,600,033,707,207,508,216,974,023,030,901,897,533,828,403,768,564,876,861,
936,268,659,673,117,625,571,795,815,926,205,599,794,985,862,803,990,877,781,
552,666,993,840,924,681,291,124,251,210,637,174,064,397,761,451,542,616,727,
611,649,518,905,522,396,783,372,806,391,418,746,838,252,677,179,470,706,119,
416,153,342,277,337,762,672,697,512,764,708,059,798,036,569,009,750,600,243,
181,462,731,830,808,958,519,550,684,341,068,498,276,271,346,986,377,024,452,
689,711,811,340,778,321,276,946,968,025,844,219,049,020,107,725,299,657,287,
491,383,901,308,262,768,686,272,644,880,184,091,515,638,432,478,021,425,672,
387,010,709,597,401,478,704,362,569,660,603,410,137,899,323,218,196,165,152,
233,101,121,157,908,588,920,478,887,305,299,876,492,202,273,150,566,520,534,
394,755,023,105,077,318,117,940,552,900,493,309,601,385,675,557,114,080,677,
990,325,865,065,698,898,446,710,499,425,248,915,128,077,823,158,943,105,175,
883,203,431,884,291,894,271,297,902,433,230,889,387,623,180,574,087,286,211,
253,818,307,932,165,922,060,384,185,901,911,062,551,019,758,488,602,970,185,
107,045,219,151,074,616,730,008,739,706,549,539,159,370,936,306,994,784,049,
495,513,844,188,597,238,788,750,816,000,168,201,868,807,694,639,776,005,506,
572,767,759,399,905,207,647,496,545,060,081,794,484,565,810,053,388,229,068,
651,913,948,049,282,695,790,333,691,441,873,089,305,477,319,671,035,866,817,
613,538,208,347,107,734,454,498,297,685,269,050,763,328,571,530,484,623,191,
048,951,193,233,148,116,001,812,695,335,077,129,456,457,415,199,857,922,178,
233,094,201,123,056,549,447,497,256,870,307,837,602,367,682,989,941,061,595,
321,265,241,094,338,161,675,412,256,972,724,423,187,803,857,559,379,238,709,
598,933,737,819,490,730,122,987,596,901,374,977,491,116,218,523,021,338,175,
660,552,482,321,584,043,577,936,637,578,425,453,490,072,528,024,018,658,893,
211,032,522,754,133,325,799,184,653,655,570,107,404,582,089,733,755,631,363,
864,555,350,685,601,730,110,330,900,894,050,797,416,989,364,013,913,879,307,
193,012,269,283,935,756,963,104,609,250,246,414,870,937,639,381,145,478,564,
383,151,747,247,431,854,480,806,642,283,041,766,069,546,280,070,197,802,455,
381,379,840,636,967,799,710,932,840,873,989,306,024,309,784,948,386,076,999,
358,398,315,589,444,724,443,552,290,206,535,786,043,095,749,464,831,527,625,
366,247,899,860,282,762,516,613,134,985,441,205,344,037,287,242,478,678,652,
203,791,904,406,261,411,748,699,180,657,824,891,470,241,876,322,380,134,286,
210,765,212,078,522,021,147,638,376,527,955,374,655,829,556,158,242,502,027,
268,905,989,678,573,138,441,561,870,014,491,106,810,683,985,087,637,834,516,
500,518,130,424,033,873,933,297,371,057,062,993,747,112,240,803,564,393,988,
449,277,949,698,999,245,949,813,076,630,949,661,556,651,957,784,534,283,650,
677,531,730,252,587,288,131,812,781,667,139,061,846,626,004,651,931,344,623,
912,254,595,631,638,756,558,951,900,169,037,356,250,733,974,320,046,626,728,
602,060,636,213,845,710,354,595,528,358,704,845,918,144,351,316,908,593,489,
446,617,962,209,594,398,337,777,576,806,155,650,329,987,452,983,291,742,138,
961,919,688,666,361,445,042,462,603,417,839,490,525,780,994,565,731,949,911,
227,275,844,584,390,309,505,512,050,511,268,130,038,536,538,549,614,996,447,
145,451,534,207,418,272,915,338,454,700,934,507,753,133,646,067,862,683,514,
456,040,103,383,241,376,589,375,583,926,871,246,217,250,526,000,672,846,717,
045,894,720,530,629,055,320,413,865,034,848,257,057,074,891,430,629,081,051,
889,578,213,100,605,880,175,466,765,028,346,401,063,915,948,167,199,517,473,
737,872,321,448,357,034,075,516,988,232,951,108,113,405,455,306,730,191,141,
790,998,261,643,320,092,910,368,869,687,892,733,158,130,316,391,608,625,018,
494,259,325,740,261,788,468,715,349,553,871,985,206,292,555,975,807,316,852,
668,839,002,076,695,328,373,645,297,231,127,381,389,374,664,398,543,090,657,
255,360,379,922,167,594,744,142,145,502,177,718,570,306,364,903,138,191,199,
038,542,110,435,629,339,170,854,701,111,643,756,832,998,807,956,368,837,933,
879,851,388,107,808,466,018,610,211,895,654,417,808,466,183,789,694,716,398,
285,688,220,326,722,872,835,129,529,598,262,076,190,774,418,892,606,110,063,
948,917,239,570,022,313,902,298,899,740,839,670,586,900,050,498,802,821,218,
877,914,968,825,419,517,778,238,285,753,478,591,558,870,495,662,539,588,654,
880,183,851,587,752,727,848,665,443,087,927,355,218,304,917,296,723,710,351,
925,332,052,356,765,974,656,975,487,652,125,915,184,908,602,033,827,790,645,
872,650,304,210,279,665,239,404,304,784,528,923,621,523,781,853,731,541,019,
541,775,111,687,597,466,329,982,899,484,683,148,487,378,307,959,914,133,727,
278,385,305,033,120,492,199,791,038,671,492,026,003,876,011,086,765,854,354,
082,562,581,963,855,021,104,305,952,378,633,930,863,730,069,996,148,564,657,
586,091,860,448,170,773,524,317,105,303,654,793,641,484,507,678,359,615,280,
940,905,263,173,674,319,001,069,463,525,494,435,845,126,397,898,059,490,701,
041,891,645,407,281,915,287,368,215,732,164,153,478,190,328,114,382,019,005,
326,515,349,053,944,333,968,787,517,248,944,441,790,277,963,952,917,070,175,
072,055,390,016,244,477,057,573,308,773,787,249,437,963,154,830,030,297,412,
903,651,757,186,525,740,229,194,431,828,654,456,146,244,058,803,580,891,126,
322,918,200,178,173,454,417,319,856,490,923,536,335,038,254,319,741,593,078,
294,395,172,778,718,287,111,606,410,432,546,644,229,333,258,260,379,052,875,
603,303,077,243,877,216,980,741,690,472,435,447,482,049,659,128,817,962,004,
468,858,516,782,646,249,997,390,508,437,185,819,989,981,271,714,738,539,045,
362,699,213,683,580,680,991,110,964,686,205,749,078,703,850,258,402,990,629,
870,666,259,312,970,051,111,800,814,624,441,151,088,150,148,405,884,191,815,
700,338,394,747,122,966,697,673,438,493,907,681,663,992,537,613,173,422,395,
472,863,081,297,539,141,156,365,374,930,900,665,019,626,190,092,281,519,474,
662,918,178,451,829,428,622,982,965,833,358,701,103,391,230,680,484,721,128,
422,440,952,434,017,914,841,952,208,422,215,589,151,243,458,932,814,590,734,
687,360,299,631,968,014,778,281,033,097,862,777,002,640,457,325,135,165,989,
636,641,521,804,876,589,698,073,862,693,276,068,175,104,023,689,362,606,019,
708,848,011,263,504,941,053,726,311,886,560,848,044,446,760,533,099,678,832,
529,142,568,679,957,858,176,206,330,630,475,318,420,687,062,330,589,643,418,
686,643,503,479,620,938,623,862,664,952,301,919,256,081,828,410,217,303,327,
204,880,613,926,260,071,031,315,972,641,630,042,374,728,084,551,645,718,717,
365,367,276,042,658,456,262,112,434,254,697,179,045,790,713,323,305,981,520,
300,561,736,454,377,037,917,268,984,799,692,247,491,655,001,334,205,701,088,
646,671,217,624,284,193,304,029,209,246,431,480,802,045,860,748,429,214,009,
298,338,263,908,339,960,137,788,548,578,055,745,989,505,108,687,037,746,957,
288,207,840,983,667,629,792,357,412,817,962,938,860,523,898,505,907,996,338,
377,840,427,003,173,488,614,582,998,413,310,792,437,504,681,938,803,020,150,
214,163,421,004,862,696,674,930,097,824,383,629,477,090,097,086,153,568,263,
846,398,753,302,157,429,954,435,510,615,507,068,115,629,231,956,845,938,006,
676,999,022,190,736,570,450,509,017,984,531,881,559,448,633,443,509,156,865,
290,796,454,707,070,737,757,249,582,051,406,999,211,340,707,618,129,174,007,
501,822,751,600,528,306,894,591,505,742,764,467,776,485,976,861,044,549,562,
055,770,431,922,401,415,521,893,614,292,201,061,869,392,045,391,301,505,721,
949,958,788,422,382,937,657,602,245,732,082,024,392,245,505,318,610,702,234,
480,760,834,412,592,964,468,084,890,331,273,633,168,918,607,851,446,742,588,
475,645,755,075,805,851,942,866,744,121,202,192,867,530,932,686,062,452,769,
350,261,708,269,805,077,058,418,906,132,937,372,888,049,435,012,312,253,704,
239,167,098,932,034,219,561,264,821,097,107,793,694,988,861,231,524,466,179,
153,920,834,438,326,322,218,023,862,458,500,113,006,374,596,294,067,174,621,
345,200,377,518,287,362,147,224,903,225,360,275,303,542,262,429,317,894,304,
335,900,436,870,797,399,742,686,450,042,656,611,006,659,016,467,390,158,863,
129,344,672,570,413,335,059,281,805,151,504,369,647,142,786,268,671,003,268,
435,537,007,136,488,865,100,987,790,353,315,219,095,871,014,116,327,848,507,
418,284,137,009,425,065,388,192,940,440,715,275,841,021,836,106,448,846,710,
015,825,553,570,212,558,982,094,069,243,991,503,024,570,400,558,530,379,985,
521,109,631,954,450,510,395,246,561,390,293,076,140,728,308,771,151,791,316,
316,385,838,208,466,352,495,056,145,414,522,361,349,559,021,235,120,501,007,
670,261,604,977,415,179,647,948,043,630,220,363,833,805,625,361,111,901,024,
024,489,963,688,556,353,918,037,349,038,811,177,299,016,243,675,423,762,921,
368,732,451,923,459,597,580,621,963,154,793,488,431,087,816,779,592,401,690,
727,355,753,167,412,788,566,657,974,576,446,328,796,144,763,665,333,428,953,
175,363,243,997,817,184,397,843,612,559,771,080,011,640,816,708,434,963,055,
835,335,557,767,400,899,369,322,045,445,145,999,618,542,039,118,538,473,172,
561,406,081,767,284,319,104,240,818,310,799,240,360,187,414,012,733,380,566,
244,538,707,137,042,362,346,187,927,039,851,671,623,045,433,751,885,210,711,
138,812,011,725,119,824,124,076,745,012,904,481,680,672,084,545,034,602,152,
847,550,251,260,886,160,345,956,086,728,319,517,693,213,773,443,547,596,224,
238,379,435,107,835,259,638,038,947,190,277,316,332,265,912,318,505,333,926,
770,102,987,862,930,264,988,840,844,150,465,375,617,009,636,499,828,772,661,
710,045,149,273,108,121,218,682,113,444,409,118,268,058,863,592,362,194,315,
746,414,299,959,047,547,410,129,215,277,011,150,416,695,887,723,960,081,044,
324,940,049,933,249,011,755,635,837,885,751,093,122,515,971,903,287,906,813,
926,282,479,519,225,816,111,799,382,683,566,011,558,652,115,541,321,977,311,
933,765,592,159,708,996,277,191,098,940,578,737,214,386,811,553,510,617,213,
216,623,664,605,431,002,660,309,833,550,162,174,032,165,177,292,360,505,095,
208,883,263,027,616,657,091,161,429,865,853,798,913,366,591,165,523,364,365,
857,708,416,017,545,986,660,288,252,618,658,958,827,850,327,996,926,363,763,
558,262,428,685,725,224,403,329,393,554,135,938,904,546,517,014,678,535,378,
265,766,066,898,804,459,977,039,331,296,666,430,588,682,091,383,167,639,087,
671,284,063,754,737,980,104,865,453,823,709,729,153,074,791,739,280,606,972,
229,457,036,584,383,919,327,144,204,804,193,687,427,435,697,497,893,750,524,
483,894,448,888,202,976,903,853,818,090,549,047,584,100,750,312,701,288,078,
469,992,561,962,320,031,402,478,827,759,400,812,413,933,070,895,380,149,997,
495,528,963,017,909,257,916,928,011,974,414,253,806,954,466,412,803,582,834,
750,681,868,157,468,864,175,521,304,412,199,854,046,247,311,478,683,213,901,
107,497,387,040,943,792,786,687,502,406,874,733,055,575,523,528,724,606,836,
615,154,348,268,667,613,381,779,899,098,240,738,994,201,994,566,740,511,022,
154,740,863,528,913,872,984,270,913,548,054,144,710,863,926,674,554,108,394,
227,132,202,465,230,915,781,923,842,023,513,719,309,656,142,748,999,426,192,
099,868,889,771,945,969,213,733,283,525,165,351,273,312,442,748,122,969,412,
112,485,098,147,753,373,784,631,324,225,170,004,245,412,372,335,246,530,491,
124,266,468,567,221,469,383,562,150,977,637,329,792,111,367,200,170,970,239,
524,351,310,391,314,027,868,630,149,214,052,932,686,588,631,141,576,829,552,
177,247,250,191,521,353,294,430,833,532,996,658,546,897,726,319,897,328,416,
845,621,629,875,764,511,237,550,398,014,044,970,303,445,147,798,372,711,236,
571,832,425,521,084,039,292,743,962,492,514,062,891,095,869,292,602,001,475,
813,088,298,907,729,703,581,046,572,050,116,698,028,109,934,018,620,855,015,
351,154,972,038,401,126,276,660,646,424,057,632,852,453,571,973,477,388,211,
760,082,008,745,415,486,878,172,853,465,592,426,151,690,022,469,455,158,312,
371,878,840,014,577,395,286,617,692,563,283,386,239,488,475,498,240,336,993,
867,951,376,386,431,274,161,554,975,679,998,700,135,308,536,928,271,690,499,
098,217,945,523,807,594,072,905,207,883,638,436,664,190,209,172,572,599,862,
261,890,752,391,896,004,007,179,171,586,479,456,639,268,009,787,231,391,526,
605,257,024,631,337,150,743,604,204,247,899,418,124,301,251,289,603,589,398,
720,054,890,046,748,921,038,693,924,748,090,642,228,996,365,880,306,801,523,
095,239,100,518,849,889,491,548,057,570,312,690,198,987,319,210,510,255,871,
722,178,872,944,236,146,530,754,209,089,551,110,686,798,485,534,621,737,027,
727,155,626,946,901,396,364,953,669,648,720,783,305,498,265,341,015,094,359,
565,689,437,409,395,777,876,579,370,066,953,034,770,340,342,610,489,890,586,
945,869,013,500,740,264,055,276,742,564,205,752,431,354,481,371,597,657,046,
752,988,118,992,671,954,636,075,979,240,247,524,250,963,868,929,747,886,034,
801,629,079,231,679,879,513,983,033,788,012,768,227,582,642,592,826,062,204,
804,265,287,503,919,453,722,311,418,676,822,757,049,522,005,357,426,268,000,
983,654,858,730,222,286,320,679,797,183,350,836,685,890,496,749,863,234,826,
742,056,469,173,593,593,360,689,044,657,060,886,128,559,187,254,619,272,232,
335,032,158,026,647,845,545,533,293,942,587,218,199,023,581,933,063,821,849,
890,421,324,438,757,414,555,361,358,026,383,476,659,488,579,493,376,274,018,
653,912,840,822,513,969,517,101,422,753,972,128,524,852,191,889,245,362,793,
259,391,694,954,372,049,362,866,029,075,471,205,137,096,340,407,112,799,032,
778,992,743,625,236,740,249,833,597,965,510,701,939,324,042,184,169,803,333,
912,872,081,525,559,052,527,492,831,909,485,424,974,267,081,642,058,357,886,
513,843,644,975,331,275,205,050,586,498,833,732,728,213,351,982,362,049,219,
383,794,545,752,762,772,792,556,578,761,658,607,755,448,466,674,576,251,490,
487,407,893,796,437,575,864,988,412,380,225,995,039,101,547,792,720,825,725,
376,910,004,246,449,497,813,485,412,944,070,712,460,250,635,533,929,331,205,
335,918,676,086,968,496,825,891,934,130,858,112,867,768,057,130,178,398,655,
562,337,099,173,018,402,070,222,061,104,395,000,175,629,645,203,179,945,282,
295,194,377,923,481,612,255,738,179,825,325,443,676,013,630,858,114,516,862,
841,998,257,116,300,244,040,931,090,303,075,864,877,617,719,151,994,186,512,
354,257,284,735,025,731,592,701,135,855,487,996,583,226,298,055,933,582,590,
704,993,585,023,495,677,390,342,209,696,294,958,809,050,951,596,051,446,830,
728,814,469,924,710,909,161,741,044,672,411,867,469,124,657,429,304,856,157,
704,082,187,233,755,922,856,268,920,466,843,101,113,667,942,979,156,294,774,
108,733,017,956,585,227,852,389,558,909,174,214,012,216,639,647,689,590,440,
283,996,934,026,995,003,371,234,565,297,510,121,689,424,105,255,501,620,905,
861,207,709,755,067,853,179,367,065,488,892,491,057,307,327,105,388,332,935,
721,565,484,813,462,124,675,695,679,394,213,108,312,702,652,299,973,653,581,
512,035,640,614,609,375,709,303,750,411,996,551,335,937,477,396,746,721,491,
286,899,953,663,626,589,262,690,675,188,935,301,917,091,514,060,328,616,144,
592,487,243,062,630,827,278,755,696,725,264,501,090,155,580,388,261,644,343,
912,394,665,234,895,408,178,666,926,499,898,832,418,980,462,345,907,850,619,
419,491,237,377,685,319,040,764,432,994,736,483,253,682,440,613,427,145,547,
185,275,346,246,331,383,888,171,796,768,723,146,918,884,785,566,058,430,013,
010,616,463,416,851,407,317,622,508,954,843,439,709,881,105,419,256,415,428,
639,616,279,343,041,627,089,391,518,450,383,860,141,470,826,619,305,336,929,
945,004,190,553,171,178,073,155,807,524,365,272,945,404,422,093,712,358,658,
544,769,246,939,853,020,906,280,774,482,025,936,866,647,602,144,114,443,528,
454,455,011,001,872,466,914,664,504,829,830,185,627,092,890,175,735,993,401,
419,930,863,982,926,034,356,463,227,428,780,741,326,683,793,047,039,186,597,
498,843,440,398,108,489,801,460,221,883,616,585,720,443,695,329,899,436,374,
384,796,962,584,591,143,525,936,264,339,538,559,637,954,669,904,546,116,557,
775,985,013,964,713,100,072,566,644,369,957,731,105,030,997,287,123,151,693,
100,430,728,504,114,184,209,384,544,639,928,857,897,142,323,983,020,461,096,
089,617,450,331,828,856,019,946,955,034,777,784,757,586,679,100,520,970,318,
704,435,554,890,506,150,530,873,571,065,810,697,026,194,079,540,560,712,237,
573,517,089,844,503,705,545,457,055,979,123,437,291,451,616,362,798,357,810,
963,649,598,671,660,352,833,569,006,082,071,547,460,130,691,245,678,667,765,
845,009,658,631,053,859,278,763,160,169,377,435,491,716,712,305,697,366,761,
700,230,620,258,660,582,615,451,016,979,924,750,245,095,132,472,064,909,853,
715,159,270,477,494,295,740,560,241,633,109,162,976,497,239,025,784,767,925,
286,264,277,201,561,209,211,369,020,724,257,745,400,081,546,717,474,458,626,
514,966,990,262,794,395,850,251,718,298,075,236,984,751,675,998,738,766,739,
739,883,792,661,370,556,835,119,088,296,438,073,750,871,380,639,856,722,281,
927,292,627,374,525,401,834,964,601,067,726,632,502,503,285,598,149,431,405,
148,754,145,063,747,739,600,380,948,390,983,401,282,257,994,926,997,320,999,
239,358,880,557,001,566,875,815,487,516,405,676,743,469,189,654,381,175,877,
477,930,029,297,524,889,683,465,039,364,853,235,465,970,861,376,336,747,805,
802,655,738,860,245,650,817,102,964,696,273,173,151,603,740,414,830,101,391,
041,931,066,753,530,582,466,072,460,355,745,043,014,592,966,379,943,615,044,
302,440,211,943,784,791,766,185,289,659,234,035,632,617,473,230,750,240,474,
156,615,782,889,490,789,798,808,280,425,796,136,285,579,729,099,133,533,244,
463,009,198,704,387,624,628,095,083,451,438,335,799,547,698,833,109,062,011,
447,680,465,440,653,798,314,610,435,613,553,643,729,481,028,972,293,415,191,
995,876,308,690,754,003,394,662,643,465,579,217,882,923,798,883,332,606,117,
393,116,721,302,347,461,762,360,762,470,074,028,050,140,429,908,887,917,987,
719,217,468,964,477,437,704,679,644,945,155,638,154,667,382,160,399,488,647,
572,209,818,722,947,594,217,452,436,910,631,933,669,036,189,817,876,097,976,
609,001,006,629,860,894,711,774,705,211,210,705,111,116,438,874,342,863,973,
188,939,189,129,768,977,869,317,025,819,764,077,348,317,003,985,952,594,436,
364,673,235,744,482,533,562,950,949,126,738,916,600,059,900,316,732,721,669,
778,333,634,360,115,576,735,443,964,350,894,499,112,157,635,319,202,624,908,
954,009,974,308,466,167,782,553,355,827,074,862,727,756,710,287,982,550,009,
530,616,161,483,548,339,157,982,931,221,247,119,065,777,054,099,045,590,241,
666,814,081,430,462,172,799,859,406,040,226,748,511,511,355,184,643,008,645,
274,770,664,369,164,449,264,181,620,146,561,333,215,284,461,505,930,212,258,
166,418,342,090,767,510,620,486,787,176,687,309,481,987,504,141,133,126,702,
612,951,813,998,114,950,553,237,679,964,889,309,583,518,834,339,766,645,569,
420,766,895,945,625,966,243,273,870,450,523,772,264,304,936,262,880,832,700,
678,092,651,449,007,255,924,698,675,735,872,936,966,397,617,078,254,845,033,
482,240,509,688,673,227,224,230,652,891,284,463,297,512,966,508,078,602,978,
453,728,961,160,711,535,072,845,771,023,710,682,612,535,477,161,551,246,589,
115,826,003,429,116,385,977,731,418,375,314,868,286,259,883,991,073,754,337,
285,580,696,859,221,030,315,343,080,201,825,355,625,765,930,917,555,138,853,
276,805,475,077,534,883,907,888,349,210,335,018,718,246,173,128,920,173,225,
208,983,304,683,716,575,635,348,704,403,443,797,890,918,587,744,080,413,537,
118,454,370,453,315,861,832,410,148,572,805,918,191,700,352,406,661,543,523,
992,077,643,362,777,601,910,158,314,490,513,443,132,146,926,698,158,274,108,
846,239,509,136,300,367,032,880,853,932,511,798,175,156,669,952,633,906,449,
441,576,769,461,588,317,081,934,976,371,756,335,516,988,362,245,213,029,037,
561,084,959,398,536,226,572,204,487,324,856,664,236,932,671,540,028,450,702,
020,873,537,712,353,079,841,243,303,891,199,118,881,171,703,640,965,306,308,
284,483,671,099,279,686,550,150,110,317,281,971,096,050,125,339,880,893,872,
661,800,021,415,813,129,987,939,973,270,966,603,405,583,351,353,724,718,442,
638,082,989,508,957,831,534,138,616,798,087,228,538,025,430,559,083,565,501,
360,523,386,738,553,270,773,671,253,726,534,788,476,234,221,117,370,180,504,
165,756,687,492,704,605,660,494,229,606,034,570,568,656,642,925,832,397,624,
038,359,296,619,581,413,926,570,328,031,670,195,435,303,171,087,044,396,565,
320,727,110,930,487,600,268,870,536,074,329,330,935,847,153,691,432,800,931,
607,285,001,801,100,232,078,662,864,395,837,938,251,974,058,697,685,382,491,
814,883,178,836,415,041,386,718,413,538,829,688,039,756,027,080,800,584,445,
135,074,349,720,232,274,788,931,385,193,196,138,562,087,443,293,526,435,851,
517,197,864,958,718,332,419,266,859,823,877,152,853,897,740,031,827,347,256,
004,172,274,222,889,754,408,822,074,141,846,898,058,764,031,258,959,189,460,
318,795,862,543,487,455,226,616,577,323,545,382,965,130,475,802,636,378,245,
728,006,196,384,297,496,764,631,926,546,614,251,555,433,290,797,222,969,119,
491,457,377,606,571,091,270,427,741,744,668,235,527,532,878,837,279,551,391,
564,906,267,459,672,774,546,892,016,339,471,002,040,046,267,908,754,547,302,
163,747,386,724,365,191,425,275,476,528,833,940,709,644,834,704,772,285,761,
716,012,331,389,203,975,693,434,735,269,070,307,117,614,357,513,457,052,315,
816,205,162,451,659,473,458,111,118,761,658,417,949,305,680,588,308,315,467,
580,785,229,760,484,936,297,817,904,383,893,753,889,536,327,867,871,811,416,
945,448,519,845,271,487,693,260,540,306,935,810,971,191,991,240,421,478,422,
920,632,995,023,206,538,057,154,952,541,469,443,457,179,803,577,652,248,444,
429,129,879,230,826,754,626,080,010,815,770,982,697,071,852,425,745,184,539,
135,000,986,540,300,499,184,370,869,844,955,842,265,680,530,264,770,421,235,
968,877,200,317,472,649,907,066,874,917,278,967,957,010,763,411,772,665,045,
826,236,525,834,070,087,338,858,183,302,090,463,965,480,808,660,587,592,641,
425,926,846,423,250,704,183,320,122,881,361,880,940,081,471,093,921,824,317,
710,169,801,240,395,883,869,040,972,030,517,343,688,575,354,237,626,531,750,
590,968,453,789,194,911,028,980,861,063,136,649,051,750,154,745,710,368,360,
198,098,206,570,352,730,504,556,247,760,235,307,750,598,377,411,926,706,790,
344,761,285,515,104,547,175,118,171,337,445,886,582,231,523,609,394,392,337,
653,222,106,696,043,185,363,140,016,933,581,403,793,697,530,439,350,590,680,
164,286,948,498,226,242,162,696,960,362,471,735,640,903,345,804,098,655,775,
957,180,019,434,518,576,931,819,543,254,554,534,773,299,528,625,211,649,512,
156,604,174,350,857,640,798,748,560,873,184,573,717,178,036,299,683,296,883,
752,263,354,477,928,567,441,824,209,842,245,805,719,952,466,340,713,865,951,
360,025,544,242,971,774,596,124,299,886,996,420,806,638,840,106,279,660,590,
025,502,590,659,630,803,116,478,452,772,162,668,044,386,096,515,293,827,067,
421,129,319,677,737,359,545,348,789,102,849,436,522,296,790,661,786,630,264,
010,809,969,041,642,849,854,314,442,280,552,950,121,826,479,414,444,587,181,
481,232,556,560,063,672,796,290,505,812,089,045,999,821,443,123,730,302,261,
309,271,945,613,574,786,119,916,263,212,229,569,964,094,339,394,988,447,357,
020,888,451,238,584,795,943,066,926,537,981,275,837,728,450,553,208,554,704,
867,528,788,752,326,310,620,793,948,188,005,457,641,142,753,462,263,245,874,
835,307,901,189,850,223,434,421,651,879,407,635,932,817,984,294,805,188,283,
597,464,302,271,963,192,152,385,516,861,689,905,926,089,584,761,560,021,463,
887,923,062,658,675,517,297,577,742,841,401,270,270,050,687,512,619,886,900,
192,117,564,584,018,435,641,555,284,761,690,763,145,031,846,324,892,681,389,
113,719,012,967,425,096,788,470,959,476,382,173,117,807,623,872,554,431,095,
228,750,640,742,561,384,461,960,957,962,950,542,507,625,997,586,017,863,675,
527,877,058,201,185,180,929,872,986,896,980,385,482,710,451,902,430,186,496,
327,411,705,931,568,768,482,725,879,170,990,295,433,142,148,336,099,269,669,
171,363,197,925,242,845,640,922,666,663,728,003,263,426,367,195,959,024,796,
981,195,295,649,026,541,916,893,862,979,318,826,470,851,646,048,187,922,030,
780,630,113,177,622,427,280,153,682,704,021,495,711,828,825,336,182,781,023,
889,941,785,644,225,973,018,228,856,363,499,974,554,503,391,679,121,079,912,
111,918,004,283,684,563,103,794,163,192,293,890,936,233,590,511,612,203,699,
981,039,371,172,320,205,315,531,610,401,681,666,580,106,318,360,399,010,508,
582,027,530,992,380,966,310,859,100,645,838,988,788,391,423,822,776,469,649,
230,728,521,792,630,883,635,896,838,768,476,747,514,365,930,136,093,548,964,
920,893,664,001,945,736,594,649,114,727,842,443,360,622,778,862,255,634,916,
989,592,662,730,824,903,849,981,674,443,625,411,162,236,274,175,394,825,206,
069,882,114,845,585,954,962,812,184,595,953,219,304,094,808,098,101,667,292,
669,080,511,770,457,353,902,599,600,415,595,386,276,054,550,381,046,074,190,
987,455,770,652,511,826,284,988,246,997,014,510,823,331,520,501,468,410,060,
417,286,025,083,322,856,421,509,769,439,094,811,018,015,282,450,990,096,639,
152,475,329,861,704,680,030,686,491,574,487,868,380,425,992,003,963,331,928,
907,245,657,823,513,899,647,699,702,049,860,058,127,468,386,937,673,080,986,
587,948,762,411,560,267,878,721,238,819,090,146,052,239,942,615,798,344,272,
415,914,454,679,238,065,558,732,696,752,060,583,908,260,793,396,955,031,269,
416,966,186,232,655,870,677,910,314,331,650,598,495,756,569,648,225,303,415,
738,621,024,254,928,927,421,243,335,816,782,004,940,920,042,109,986,981,102,
988,841,101,064,746,799,206,959,549,387,222,180,500,946,777,904,709,475,801,
712,838,927,230,873,187,161,504,064,551,474,399,340,190,691,777,734,700,681,
769,357,705,888,735,666,959,161,462,610,545,201,631,157,388,078,951,278,866,
845,377,798,910,706,821,236,733,042,827,342,064,933,164,743,743,383,823,994,
619,439,337,547,570,888,861,453,427,221,550,785,044,289,842,736,384,736,106,
738,496,773,346,766,103,702,954,443,244,621,011,557,232,923,603,899,593,662,
402,405,254,125,893,815,179,720,101,100,485,415,072,682,777,713,979,894,598,
106,653,447,776,241,804,139,357,563,056,182,769,498,491,194,264,891,086,542,
541,443,055,067,735,495,326,996,973,750,913,554,788,763,903,027,679,293,632,
877,244,783,090,991,045,075,322,698,608,884,077,374,804,783,442,303,350,277,
423,015,629,605,041,613,624,123,719,794,588,915,394,379,170,325,335,443,175,
710,090,816,667,142,750,896,699,805,407,728,103,507,773,922,174,090,971,677,
802,412,169,909,729,711,768,904,030,898,270,505,676,162,173,059,902,935,582,
732,802,767,927,818,550,789,972,733,521,153,568,187,991,306,290,039,188,113,
231,867,603,313,668,859,677,432,850,454,758,213,882,887,675,764,427,279,969,
870,789,908,295,998,728,579,019,257,514,847,085,791,388,124,590,865,142,697,
556,235,400,691,522,054,501,295,545,843,087,147,794,410,371,468,898,259,880,
682,091,177,799,210,825,630,643,199,297,815,788,268,202,333,825,512,992,447,
621,789,824,466,688,653,844,892,509,790,773,755,393,215,637,900,698,267,187,
658,663,428,877,861,677,183,159,632,397,012,444,226,547,284,099,434,771,686,
325,572,714,566,308,501,233,087,387,377,550,190,754,041,327,924,078,099,233,
577,858,963,330,094,855,238,248,550,104,602,599,713,499,226,075,042,983,991,
178,479,017,884,198,395,975,736,003,619,735,240,691,062,129,484,098,262,419,
649,728,231,648,680,151,418,473,919,458,530,598,650,205,122,801,116,843,716,
512,991,205,278,732,213,700,566,036,898,327,077,472,213,232,302,545,739,311,
380,787,713,371,123,946,898,775,035,124,079,064,662,286,410,090,733,575,934,
849,935,011,210,045,877,175,615,414,804,614,334,462,770,113,571,273,730,387,
814,174,475,751,643,531,643,933,107,424,120,751,091,373,132,225,802,166,270,
284,720,405,033,915,856,172,807,521,308,519,661,650,605,163,149,101,075,722,
999,427,162,385,942,845,781,249,760,484,631,468,448,463,490,106,764,883,629,
879,656,305,841,304,330,453,765,314,772,735,996,766,780,939,945,568,477,278,
742,297,092,693,938,228,978,046,768,398,581,413,387,550,143,311,787,441,625,
689,325,584,455,042,252,836,615,865,093,663,407,040,614,821,709,249,912,860,
888,588,227,394,175,205,263,657,983,656,381,027,523,952,853,996,513,154,477,
528,360,018,704,936,488,848,328,996,438,954,870,964,374,022,124,821,612,411,
235,393,431,969,520,086,296,234,122,522,181,438,340,260,384,220,820,601,268,
855,893,150,090,412,283,142,352,834,279,963,127,078,438,639,427,405,161,019,
244,342,317,853,117,033,873,839,325,888,688,503,878,496,552,778,448,075,627,
856,516,645,097,928,113,920,217,271,883,521,208,020,752,797,570,961,777,499,
610,266,964,644,397,104,945,015,042,599,935,861,360,139,407,383,999,912,282,
874,933,397,230,979,494,293,571,932,906,540,729,972,802,507,414,878,975,462,
791,532,454,395,322,968,370,730,297,240,895,482,059,402,922,819,749,908,949,
689,475,949,295,422,690,959,592,270,132,556,675,431,939,385,615,217,636,848,
992,153,235,393,541,915,114,219,813,015,031,324,267,959,879,978,087,962,874,
751,998,719,059,126,330,852,533,977,434,101,587,918,459,947,580,602,301,815,
747,661,972,923,236,748,406,916,974,446,656,064,027,820,634,638,355,661,235,
761,542,230,798,099,626,701,743,081,210,623,399,974,152,852,589,888,672,052,
076,511,474,159,105,566,266,233,054,056,917,749,959,694,729,799,658,754,592,
195,850,561,351,169,552,524,699,424,591,676,960,337,327,747,358,020,062,870,
662,615,110,583,197,740,359,353,095,874,815,080,343,021,158,942,684,377,502,
921,839,217,211,215,974,984,525,997,829,548,014,408,603,763,036,818,705,248,
222,597,726,319,751,097,494,951,763,643,637,158,914,258,839,683,687,561,210,
012,155,636,495,378,824,563,623,157,613,070,320,821,635,186,360,927,062,525,
287,005,884,230,114,511,763,304,860,108,970,714,440,248,494,403,429,439,444,
949,581,567,405,182,663,007,960,168,897,988,934,430,440,308,075,227,167,808,
065,920,405,555,619,977,924,773,548,773,209,012,170,999,398,772,604,892,864,
650,989,349,295,591,588,876,323,535,835,721,566,624,801,619,528,994,939,297,
429,502,384,726,385,488,177,223,782,080,292,053,130,162,566,323,714,957,324,
707,822,331,833,704,027,650,542,690,776,662,540,002,577,683,521,978,411,281,
899,007,954,180,883,505,003,832,231,782,166,050,568,062,954,648,095,607,139,
981,853,584,032,522,297,956,518,295,414,011,910,198,847,346,545,589,300,029,
063,861,166,730,720,695,433,891,410,970,082,050,179,285,807,745,222,565,090,
005,184,879,988,217,850,603,086,603,578,438,559,593,546,308,753,421,165,546,
545,725,327,242,315,819,857,806,401,469,910,461,097,458,093,860,862,917,593,
404,400,588,036,834,491,065,244,503,260,278,000,721,113,861,257,656,420,119,
574,478,286,428,861,583,296,105,487,474,105,630,101,938,524,744,663,030,524,
247,175,332,287,766,912,239,046,769,320,030,692,282,583,879,205,178,185,205,
417,090,795,063,098,107,010,734,186,557,331,209,929,248,914,817,440,069,474,
539,961,068,133,350,719,143,949,582,970,868,664,995,683,646,896,514,279,697,
592,747,379,383,492,632,764,461,231,192,352,237,896,404,736,577,980,785,897,
845,492,235,857,160,769,163,702,432,690,622,339,575,978,337,127,757,337,199,
756,791,233,380,374,466,382,090,786,779,512,468,175,052,606,602,104,804,702,
255,943,204,405,275,406,625,256,336,011,217,603,112,209,929,776,315,024,600,
128,576,064,734,212,499,616,582,854,009,018,098,431,381,397,662,496,717,343,
872,174,639,086,258,837,157,621,753,428,964,914,030,946,731,329,556,761,151,
459,101,982,419,219,317,907,773,475,754,751,778,850,466,401,000,055,659,491,
024,072,614,651,283,110,215,750,672,033,488,011,207,095,429,255,748,564,502,
070,869,662,181,437,934,864,168,012,913,512,412,721,130,619,074,753,312,167,
210,876,571,979,967,235,367,874,846,641,162,995,867,648,474,069,895,263,497,
101,481,246,256,057,717,519,405,969,306,918,490,081,477,634,329,217,828,229,
748,337,446,284,229,984,892,673,316,042,197,764,771,623,912,888,524,648,247,
029,992,059,576,854,127,402,845,120,886,623,697,151,218,275,814,172,755,439,
367,952,709,007,712,248,684,216,645,480,203,426,649,749,424,387,873,346,773,
430,412,927,616,306,547,300,757,509,139,158,602,277,532,075,114,021,088,732,
963,184,153,277,897,839,147,927,677,250,722,289,459,692,992,442,331,370,578,
733,120,061,294,118,729,625,796,517,238,803,108,290,732,886,936,685,295,190,
552,328,822,621,885,570,173,070,878,778,103,864,404,630,343,067,113,138,411,
638,828,825,091,258,365,802,670,841,470,923,853,389,189,688,855,586,003,548,
060,058,985,903,667,788,546,320,752,087,546,309,980,285,005,842,730,478,185,
782,084,298,936,802,892,489,666,134,200,928,922,048,094,569,415,453,847,010,
008,322,241,942,358,312,620,547,451,190,677,916,544,736,119,308,561,719,339,
036,792,485,354,176,735,949,652,219,872,772,754,254,522,671,062,506,645,016,
563,238,642,380,445,931,159,580,135,396,334,359,036,409,035,393,600,528,793,
636,796,173,838,198,879,356,882,837,486,643,558,018,127,681,359,856,766,205,
470,105,682,864,741,478,445,285,262,119,645,047,738,978,291,871,666,566,368,
473,450,738,306,876,454,827,396,763,903,696,361,183,022,035,912,545,048,953,
013,020,812,734,416,513,104,964,737,655,722,480,103,467,593,619,386,925,515,
334,738,979,601,043,912,873,068,337,465,684,652,301,223,608,679,179,664,004,
817,637,318,075,251,842,483,363,368,182,813,058,192,081,350,684,239,566,349,
426,646,801,070,202,843,754,336,831,607,710,570,109,966,694,850,027,327,531,
633,834,707,029,769,554,491,086,182,297,246,345,412,475,586,100,657,321,293,
259,499,167,793,774,445,594,833,734,924,021,099,280,315,307,974,376,102,568,
289,924,024,690,414,432,332,007,439,219,903,106,731,021,318,322,965,007,471,
330,713,128,713,989,034,602,884,851,347,282,918,546,538,704,350,740,285,590,
145,525,823,959,489,526,184,826,338,534,754,411,734,794,425,715,025,031,764,
536,085,559,001,421,605,999,056,126,239,982,466,996,869,127,550,510,698,681,
092,522,805,064,079,139,666,857,215,736,174,195,122,181,766,486,272,422,887,
986,428,174,140,452,008,269,482,886,068,453,340,066,004,135,176,545,962,446,
999,847,357,295,671,316,497,345,316,334,955,849,890,644,888,333,349,778,171,
828,164,772,793,779,813,922,600,362,368,293,291,891,664,699,662,912,289,133,
410,704,362,981,119,837,205,624,418,176,872,557,027,446,008,340,694,384,834,
050,600,961,046,049,231,424,224,908,157,670,158,826,450,173,561,395,501,139,
982,951,836,178,372,599,172,992,940,649,325,905,848,326,981,421,904,560,566,
957,966,519,182,746,965,076,018,483,416,438,923,545,616,689,445,365,132,837,
923,974,520,893,115,330,456,415,097,915,251,430,546,222,233,434,005,670,713,
825,013,171,077,281,514,270,123,751,436,059,616,688,060,086,900,693,222,622,
967,247,389,362,937,824,254,133,575,244,696,452,395,254,654,222,015,958,179,
044,137,557,744,927,657,891,336,029,299,147,597,090,346,894,892,287,785,817,
039,153,979,590,942,416,045,010,000,139,835,342,332,768,984,609,416,753,911,
322,923,556,745,053,506,574,825,290,539,999,796,212,159,533,806,147,790,151,
421,806,678,054,825,087,107,771,070,187,183,388,307,769,050,399,606,141,109,
267,177,072,385,543,126,430,640,277,597,092,704,717,199,989,837,365,505,341,
388,470,568,584,987,951,367,067,694,943,796,278,133,342,176,581,210,389,593,
639,327,074,260,185,531,717,495,955,436,224,264,489,620,148,539,296,273,560,
807,970,572,118,107,049,135,868,562,158,956,629,909,066,409,505,169,053,657,
669,076,598,556,818,648,248,670,699,205,678,743,456,579,453,142,734,587,188,
866,112,452,559,892,316,935,917,276,400,616,181,303,225,155,035,706,003,048,
200,708,650,771,728,126,196,155,862,256,565,077,266,657,810,280,281,256,226,
950,506,882,270,235,846,204,011,345,534,747,610,429,789,771,862,473,966,909,
169,389,958,434,475,483,358,227,723,976,997,385,530,573,365,350,994,781,431,
850,079,821,052,833,144,006,443,006,260,945,743,902,870,486,267,586,130,302,
737,553,207,881,970,199,942,681,222,376,225,053,494,801,144,232,989,853,464,
996,438,129,078,596,561,755,309,807,675,309,204,286,077,103,268,711,874,974,
444,304,377,695,842,281,787,580,029,014,698,208,182,250,732,374,669,582,396,
532,774,689,804,651,228,497,374,348,998,210,836,663,554,128,047,100,443,722,
853,344,709,024,760,609,242,361,793,869,862,523,795,795,839,640,836,603,995,
578,946,809,220,208,125,382,272,854,502,185,873,314,583,951,041,956,826,241,
000,637,578,955,660,161,537,620,401,120,679,138,634,843,803,381,231,944,582,
036,772,153,564,434,311,520,628,342,569,651,986,639,458,657,818,366,586,924,
925,962,701,496,553,828,187,724,905,563,774,144,093,103,979,000,490,068,118,
729,228,489,904,027,008,938,672,191,937,621,002,371,752,953,724,909,176,407,
499,532,388,251,483,347,895,732,922,934,865,340,677,593,614,032,289,157,289,
507,780,610,391,407,160,891,088,014,682,973,305,533,329,079,379,778,504,189,
127,256,087,783,282,759,168,238,748,551,890,304,811,095,044,710,764,145,417,
089,140,361,948,684,603,995,168,977,869,985,108,066,634,237,939,418,720,584,
879,508,335,107,494,505,695,404,206,836,858,561,656,247,847,061,179,747,420,
360,748,171,227,946,527,244,734,260,572,045,434,420,479,010,685,587,413,146,
249,707,139,725,553,518,370,865,139,003,738,491,314,993,162,055,924,007,485,
660,310,809,914,527,177,992,921,198,870,181,531,386,095,215,318,368,880,116,
857,956,215,416,356,563,908,077,586,553,303,834,959,567,048,545,060,621,929,
196,293,249,161,402,774,858,058,336,570,883,799,714,836,268,848,245,489,950,
480,590,459,162,659,786,930,936,942,544,623,510,360,486,551,846,871,866,174,
942,839,736,580,951,087,566,571,889,428,818,343,107,349,693,155,381,630,579,
334,071,792,267,855,129,430,727,598,452,999,155,922,873,372,683,211,715,002,
409,207,362,952,641,659,150,003,945,373,221,774,898,643,012,195,060,317,658,
821,243,557,635,998,264,180,778,596,767,904,275,639,090,204,788,504,865,594,
274,522,494,286,142,152,695,870,165,215,543,215,668,489,705,835,937,278,381,
109,951,576,142,859,606,291,746,792,399,156,504,027,284,047,110,402,841,455,
455,288,242,075,672,303,039,101,355,809,950,736,425,643,131,019,299,334,972,
709,443,533,759,511,844,521,259,269,968,650,659,510,378,482,314,344,118,380,
479,872,834,425,934,059,486,988,216,887,947,178,248,929,659,904,773,555,602,
536,664,413,240,467,551,262,212,919,893,199,908,549,216,531,387,193,910,925,
695,148,154,098,619,409,833,231,539,071,270,709,860,635,229,101,775,649,756,
148,836,114,735,044,287,065,109,690,953,285,579,378,515,101,642,558,161,061,
524,228,418,067,725,075,996,284,654,926,672,172,282,951,054,081,162,627,614,
088,642,857,002,403,959,979,878,632,759,021,020,442,231,392,448,218,816,126,
068,761,119,837,374,466,819,927,813,960,614,754,080,608,541,156,017,858,880,
150,849,856,575,420,810,773,719,301,119,096,805,904,322,721,360,404,919,991,
697,400,091,806,930,140,366,319,264,906,885,264,827,617,873,289,101,956,849,
093,060,085,975,819,279,783,006,087,520,317,618,394,394,617,235,198,811,596,
863,459,470,577,896,788,210,185,263,018,368,416,055,516,204,375,362,282,182,
515,213,742,818,912,098,219,488,624,961,084,541,486,954,858,223,778,169,862,
424,287,620,217,601,577,647,169,186,699,865,576,555,725,365,511,892,476,801,
840,300,707,369,340,040,625,975,041,262,176,690,445,715,280,961,522,672,783,
853,486,910,344,451,168,443,040,513,149,249,517,818,976,475,603,608,173,382,
469,347,317,123,121,124,539,094,466,250,640,109,951,621,344,954,121,845,550,
121,722,411,210,836,163,964,766,681,184,933,071,899,124,460,121,140,480,175,
326,798,104,462,005,292,940,357,196,649,740,476,905,504,493,777,671,221,244,
987,562,853,821,808,801,623,406,021,779,776,653,287,405,768,163,811,306,840,
427,660,997,510,886,360,716,906,683,286,535,201,748,384,532,303,446,553,528,
620,623,313,776,680,922,270,320,369,764,621,596,492,075,042,394,088,289,823,
529,539,121,522,713,001,657,688,127,015,226,286,531,108,873,084,073,623,924,
643,667,314,526,599,413,027,650,397,610,855,925,300,728,520,439,945,743,745,
844,365,143,888,967,317,543,704,995,666,611,703,102,914,602,596,306,876,358,
763,971,814,346,314,782,356,060,632,720,835,316,089,752,105,630,764,033,318,
326,726,468,334,279,236,652,189,970,816,069,924,228,341,388,449,607,472,115,
640,620,148,495,791,764,164,488,631,402,283,176,391,391,398,357,482,915,190,
698,185,033,049,070,159,223,089,241,592,287,931,315,420,336,313,660,184,195,
111,677,381,966,311,181,145,231,351,363,420,798,437,765,224,698,779,500,254,
405,172,667,251,587,407,468,029,463,283,338,349,789,741,241,739,618,163,416,
687,078,148,682,071,635,286,762,167,998,387,077,347,413,680,094,155,410,661,
826,441,959,685,485,438,728,817,836,881,708,027,164,205,705,996,379,952,143,
872,112,847,403,052,717,810,131,290,120,820,861,214,223,689,218,988,635,448,
236,999,792,051,725,107,435,650,564,624,430,051,011,345,897,219,316,335,854,
253,440,937,691,980,336,585,400,138,669,924,620,665,055,246,965,212,057,496,
173,313,090,480,882,660,589,703,511,934,208,203,785,582,952,239,492,776,917,
876,341,422,242,031,419,555,393,686,680,440,290,820,617,270,907,829,556,865,
376,461,954,597,918,636,547,132,300,014,303,712,156,297,426,836,281,479,479,
936,202,110,315,358,833,119,518,392,926,176,712,296,369,018,591,754,159,674,
714,400,894,422,861,466,586,048,936,431,141,545,129,703,794,710,813,270,464,
749,400,249,561,999,885,978,059,769,635,966,544,622,478,754,137,240,880,289,
094,074,835,398,181,061,181,547,455,738,301,954,245,286,502,158,502,034,693,
673,587,407,258,834,740,247,851,492,711,723,934,740,020,708,616,335,066,637,
746,956,727,659,353,394,883,340,746,946,530,536,508,129,807,802,963,559,283,
204,480,249,340,852,516,323,338,034,026,883,509,703,289,061,211,212,302,364,
737,069,878,391,284,697,127,122,558,440,475,751,701,443,238,785,677,747,160,
489,210,475,301,831,164,862,634,623,895,378,210,718,976,970,157,573,976,302,
513,869,535,439,948,083,845,406,146,407,820,644,407,172,115,419,458,892,085,
393,422,055,454,128,275,642,718,644,330,625,536,504,939,293,064,726,586,820,
102,641,006,963,367,673,449,569,636,084,441,981,662,408,841,217,638,410,004,
564,449,658,364,943,806,253,700,541,646,976,165,505,447,790,173,217,589,791,
004,037,060,440,065,491,594,949,628,302,507,977,301,518,101,321,629,629,850,
272,321,314,048,273,890,577,440,653,050,096,342,534,636,050,851,593,578,936,
999,669,485,335,433,676,654,614,170,112,683,065,011,531,797,921,322,839,268,
667,876,574,282,840,414,576,890,367,824,188,517,328,699,930,871,649,857,313,
143,966,639,281,371,232,785,411,274,803,728,917,519,346,053,874,906,722,945,
264,896,846,412,522,926,761,132,910,825,399,290,630,413,903,080,769,661,437,
195,364,862,351,139,914,665,591,804,816,935,322,841,508,378,238,027,529,933,
539,322,178,093,871,685,374,351,065,889,763,032,349,978,669,121,004,578,322,
780,635,477,043,719,312,945,704,612,936,557,227,483,021,178,422,204,643,527,
427,233,489,957,848,955,857,621,193,637,861,999,262,228,783,846,508,510,811,
989,498,607,142,651,926,250,866,136,248,256,787,589,874,348,097,955,955,592,
820,893,827,159,358,180,915,322,422,782,817,508,616,159,878,622,307,293,417,
811,600,666,864,203,696,638,783,212,507,251,311,780,545,763,834,931,734,031,
721,025,382,782,807,119,972,709,856,160,313,721,675,035,492,313,235,993,345,
499,613,712,745,528,311,910,200,065,065,025,378,074,771,217,151,016,206,820,
318,043,168,627,170,359,146,736,902,927,440,956,141,826,625,848,873,463,249,
478,239,322,176,451,770,423,986,232,427,231,725,493,349,972,757,560,560,443,
371,807,396,966,722,700,294,638,313,085,932,314,468,439,625,363,137,886,096,
659,121,984,276,671,452,349,672,013,567,376,326,091,848,770,402,829,928,155,
437,502,953,478,072,953,766,204,173,798,659,132,806,715,568,651,314,616,308,
833,689,217,948,048,940,070,238,642,626,611,441,153,522,421,072,499,489,349,
041,998,711,980,725,718,429,662,097,232,633,593,807,658,063,605,159,700,931,
207,179,427,581,093,338,512,365,968,377,353,643,959,716,499,542,603,412,023,
894,697,882,095,895,090,969,684,381,199,677,794,129,929,043,627,087,599,125,
641,074,437,162,609,067,801,287,109,989,793,552,094,009,989,201,014,392,541,
191,602,014,758,154,222,798,967,874,332,690,333,501,249,239,409,236,113,775,
820,531,593,497,162,612,780,793,221,518,240,917,225,010,907,857,755,140,341,
416,890,781,877,329,801,970,147,898,677,011,661,571,532,192,848,176,290,041,
227,564,554,945,049,725,354,755,967,662,067,911,850,312,566,073,468,040,003,
595,584,881,795,378,745,079,642,657,287,568,471,414,151,895,944,507,950,258,
440,539,454,662,772,138,693,904,401,079,335,918,971,131,008,925,006,125,153,
063,915,452,623,368,058,073,502,139,199,405,261,750,736,089,439,076,336,544,
542,892,116,318,807,479,119,837,250,407,874,683,144,311,764,668,539,323,710,
868,624,753,234,924,482,363,575,233,868,816,199,900,286,997,109,947,905,063,
053,105,359,262,101,998,494,577,653,321,997,705,240,924,758,102,820,934,228,
440,768,935,729,851,929,150,085,163,010,419,561,651,278,067,051,720,504,859,
224,491,320,855,364,100,617,089,127,112,420,049,244,097,105,883,257,012,637,
600,891,782,636,831,736,609,077,960,779,048,659,173,973,606,655,748,207,503,
825,752,131,963,268,773,700,661,255,337,142,998,540,373,929,266,423,923,105,
993,477,432,832,174,171,889,963,647,834,510,597,544,478,024,503,596,449,531,
081,500,476,010,842,605,414,156,214,082,306,647,724,808,219,012,666,965,362,
112,870,232,199,963,067,858,868,051,602,394,473,142,233,364,139,199,366,146,
657,481,236,895,717,932,004,968,505,464,705,668,001,418,989,774,998,086,098,
705,786,817,343,992,903,058,237,104,916,772,827,586,643,312,055,609,813,550,
187,115,917,529,739,482,585,392,277,972,606,590,028,347,708,789,164,272,298,
445,810,583,086,938,467,236,297,680,491,979,664,518,408,297,869,912,884,157,
642,233,439,683,522,059,280,875,777,021,774,064,908,604,628,264,317,658,336,
637,729,132,482,447,411,861,668,079,334,187,415,087,532,200,837,660,988,832,
005,405,188,124,669,781,583,536,021,763,662,245,762,787,954,194,110,357,837,
857,121,280,163,457,634,087,531,633,091,692,146,686,984,756,147,941,078,231,
459,552,870,330,790,784,837,936,704,179,674,251,167,642,355,974,357,140,321,
117,251,524,353,144,322,194,880,009,226,864,980,475,512,959,357,792,546,778,
611,430,171,309,568,335,697,380,173,273,056,296,039,310,644,362,682,224,904,
508,736,714,298,298,682,938,383,401,917,826,307,792,059,936,195,074,062,551,
165,157,393,639,761,896,635,791,177,018,125,209,442,244,679,922,196,132,632,
266,115,037,221,905,912,679,865,348,735,835,264,017,764,930,472,299,979,066,
002,760,396,316,676,210,220,723,842,580,600,442,642,648,106,537,026,365,516,
166,647,322,741,327,404,373,249,190,788,891,633,022,204,666,012,203,803,856,
142,294,174,402,608,304,180,472,932,553,898,818,514,874,035,138,111,264,126,
305,160,624,885,217,454,181,770,336,860,589,505,834,407,436,539,282,555,921,
749,471,606,152,431,811,683,926,210,458,608,716,148,312,578,815,520,016,202,
625,897,541,233,549,057,230,929,179,815,005,848,981,484,674,546,357,309,591,
781,909,986,153,124,113,685,953,431,013,146,601,015,687,968,023,757,790,891,
400,181,247,029,756,145,035,459,383,310,404,874,105,057,136,776,925,739,902,
838,679,523,630,881,265,566,135,097,772,220,431,221,158,009,386,791,186,155,
099,337,819,115,753,125,792,456,737,722,836,943,637,393,543,835,975,304,597,
891,588,780,334,031,927,203,994,203,511,587,969,332,927,600,344,028,223,209,
166,573,577,320,737,734,122,246,386,341,529,925,638,550,268,816,169,129,974,
630,671,473,323,319,908,853,040,593,002,332,984,527,175,084,088,039,423,471,
780,988,188,405,919,576,690,560,346,271,016,237,251,738,501,063,235,064,354,
291,549,344,870,333,273,677,969,679,104,900,211,408,035,154,802,447,198,278,
319,425,468,217,271,583,347,373,918,668,242,863,612,548,751,424,747,014,251,
525,940,408,773,625,845,501,447,261,505,196,394,011,240,365,784,420,630,555,
985,592,291,282,151,848,654,492,451,060,787,015,915,548,375,106,037,056,391,
318,191,412,407,699,020,976,542,454,010,653,183,068,028,372,359,328,334,843,
339,249,232,496,161,886,362,523,799,220,937,066,586,992,020,960,844,973,689,
361,514,856,197,656,003,962,805,445,451,975,304,050,833,498,605,108,988,954,
629,984,550,753,597,728,615,302,728,963,242,233,702,902,323,797,942,210,324,
161,562,187,275,155,415,301,913,443,645,007,068,984,901,361,473,982,290,910,
811,119,272,229,726,899,821,840,949,233,074,223,787,538,503,525,285,811,279,
819,308,900,844,916,795,607,630,301,449,041,870,753,952,346,845,609,682,489,
676,091,006,821,559,787,563,058,130,278,103,110,481,952,429,497,402,120,670,
661,255,189,917,792,923,654,466,866,775,547,462,195,091,011,067,119,180,695,
106,504,602,898,106,411,325,450,828,714,318,310,622,963,864,468,442,669,918,
598,374,747,082,735,984,412,297,789,861,202,747,798,220,638,054,600,350,600,
550,816,065,283,397,506,387,835,378,145,095,110,031,156,877,790,262,662,438,
797,240,191,978,486,704,454,197,576,461,491,559,936,634,326,803,594,399,219,
449,581,903,608,189,045,337,701,790,687,306,852,913,400,447,660,072,766,875,
210,679,312,386,287,088,805,468,319,539,739,265,829,527,633,966,722,203,014,
069,962,358,614,936,702,390,945,327,146,430,351,251,261,542,432,890,401,825,
453,927,426,547,059,143,488,593,889,128,028,573,933,786,339,696,399,511,596,
491,293,139,901,062,881,277,990,723,664,535,489,511,358,844,030,730,077,951,
628,487,455,337,918,248,476,595,810,946,704,081,395,784,954,298,088,036,860,
839,071,950,649,907,056,651,237,917,331,396,997,779,342,938,877,149,309,584,
388,268,828,492,485,165,289,647,639,465,472,913,354,705,298,804,467,725,355,
992,585,984,692,727,456,046,074,451,815,477,872,032,752,361,074,749,633,180,
852,993,200,031,766,336,977,537,679,935,494,124,580,484,830,192,777,574,866,
964,023,418,097,807,588,099,784,138,921,492,262,953,551,532,757,993,691,828,
274,340,029,152,752,228,292,900,669,286,382,856,767,368,053,818,497,070,352,
357,793,203,012,074,714,936,241,800,875,050,302,623,110,343,576,897,942,467,
565,667,946,673,148,162,543,757,718,206,288,032,130,043,722,628,676,246,235,
110,275,928,217,079,817,606,906,495,571,916,971,050,178,542,212,074,339,382,
306,578,260,040,534,409,599,089,638,818,061,026,874,602,531,767,983,690,052,
254,132,693,007,359,863,277,858,866,010,152,756,956,929,513,819,276,546,886,
788,545,101,338,774,885,246,533,001,305,561,763,191,682,096,385,169,727,918,
306,102,861,167,205,466,485,401,421,343,751,762,357,848,502,134,510,877,345,
215,267,797,345,547,828,293,478,170,623,752,174,177,207,075,277,700,546,429,
421,283,796,101,350,934,385,679,776,607,599,306,904,407,920,343,834,319,674,
146,089,265,585,637,503,961,263,929,885,852,027,222,833,987,337,803,673,217,
120,126,085,239,581,031,536,161,024,129,726,496,057,332,537,828,399,092,952,
698,730,059,896,526,070,878,782,500,468,147,413,782,245,952,258,485,976,918,
633,874,394,101,369,113,148,826,795,184,309,717,205,488,652,143,460,402,242,
703,354,518,792,874,354,448,896,728,525,239,116,370,796,788,904,418,871,819,
052,843,332,418,468,589,353,154,097,810,469,399,640,802,539,243,778,176,403,
286,891,747,280,254,377,633,080,816,431,739,809,838,974,428,428,884,933,336,
867,239,359,214,726,944,504,449,496,563,742,375,658,790,664,861,175,237,065,
624,203,715,187,696,696,945,878,439,326,077,184,437,439,998,351,103,189,894,
182,466,892,585,250,584,943,216,539,792,434,841,105,661,195,923,815,854,306,
621,285,277,334,573,050,462,103,619,843,074,403,005,364,117,955,286,092,862,
979,634,413,254,416,788,521,044,530,341,039,078,842,347,446,557,128,655,383,
548,945,313,192,956,576,896,350,575,051,993,112,403,751,421,560,137,397,179,
887,105,789,710,745,095,145,168,265,563,341,959,022,992,846,206,775,023,401,
537,446,575,295,389,934,933,130,149,330,984,235,732,313,994,131,682,266,342,
437,708,065,830,313,611,869,651,504,944,579,959,635,765,269,642,190,516,462,
497,683,987,736,544,976,869,013,353,196,820,012,433,578,420,159,769,298,881,
033,661,123,592,015,683,648,147,393,598,186,959,085,044,281,651,090,234,702,
381,804,478,612,255,360,047,325,590,970,015,504,409,873,160,659,324,450,930,
374,389,537,216,361,973,894,072,533,318,998,629,203,050,389,864,428,460,056,
771,023,048,124,922,443,642,647,693,897,452,823,060,406,950,800,571,738,586,
252,474,052,084,248,507,160,501,935,681,730,716,327,331,386,034,349,523,851,
342,836,673,451,891,943,774,261,597,294,577,197,865,113,928,729,815,090,157,
835,540,224,131,298,724,939,822,069,876,824,387,416,332,093,552,487,030,270,
510,429,743,517,038,197,528,550,508,049,601,231,092,896,211,201,948,111,250,
611,209,915,937,503,983,631,367,312,755,243,936,549,845,373,870,364,136,716,
380,346,387,069,973,965,984,455,466,072,283,469,245,164,295,162,548,054,718,
968,024,198,057,754,057,255,405,167,734,603,293,925,198,721,052,456,227,200,
325,891,535,845,000,619,667,798,980,268,344,468,944,433,739,528,781,254,935,
291,116,495,440,147,537,984,441,934,366,460,804,497,481,611,966,533,806,648,
444,893,531,658,023,331,729,814,853,792,578,647,445,699,841,366,626,050,631,
122,403,197,886,417,882,972,774,008,161,450,108,334,998,469,586,187,365,226,
304,282,983,416,684,553,289,525,658,466,148,563,130,384,801,499,881,416,385,
601,537,997,447,964,715,628,029,526,821,354,378,705,166,148,808,391,434,732,
246,912,437,709,004,532,644,768,119,606,731,848,433,268,753,900,645,992,726,
876,434,147,854,795,623,291,027,039,860,193,072,274,885,041,541,198,665,901,
192,086,481,947,959,788,609,648,833,870,122,531,114,993,386,821,531,854,006,
111,047,583,991,334,340,226,320,601,423,480,060,730,993,516,507,310,026,361,
133,838,715,763,725,993,838,413,544,198,315,321,282,474,606,793,442,606,340,
896,885,779,122,310,807,140,441,862,191,993,434,600,564,704,330,182,580,115,
783,522,578,102,558,709,249,970,584,946,601,178,593,051,118,157,395,387,085,
848,430,955,237,455,367,354,679,943,539,576,690,196,202,415,567,474,449,921,
854,691,557,166,420,239,934,259,817,793,974,968,332,192,764,465,735,319,108,
856,893,576,531,160,897,859,323,385,464,890,400,687,441,426,258,047,242,963,
653,501,337,045,104,298,570,382,756,956,144,098,315,274,590,811,154,623,849,
175,752,508,008,008,709,078,210,091,105,931,964,245,717,646,221,712,234,790,
502,150,769,799,245,954,877,901,991,151,789,178,205,422,290,936,910,951,977,
210,246,707,027,033,375,168,378,867,307,217,996,615,989,362,932,994,596,757,
897,524,868,350,589,873,184,900,412,624,720,510,741,828,433,397,372,660,468,
577,281,082,447,199,703,648,002,432,007,354,888,607,399,281,504,456,395,584,
270,572,060,623,937,327,522,945,729,696,524,548,831,566,121,420,017,034,137,
212,044,080,526,749,181,025,537,473,084,561,856,327,321,261,115,321,619,753,
908,753,331,471,266,862,889,885,284,225,737,016,251,382,504,012,795,463,822,
977,747,614,470,762,931,437,778,153,208,108,595,442,735,070,722,642,522,292,
485,964,927,152,198,496,561,439,134,000,061,722,805,768,743,464,693,199,714,
285,875,856,002,279,499,638,779,131,678,142,091,641,363,143,846,108,480,490,
904,785,299,128,604,784,731,900,966,773,859,438,312,808,772,994,976,370,513,
703,604,989,631,603,661,732,227,331,682,995,407,854,575,621,839,986,397,733,
669,093,088,098,329,635,290,349,209,283,792,910,561,078,087,360,977,699,622,
486,601,622,262,506,389,711,476,802,740,147,509,937,149,146,580,474,234,999,
105,397,285,320,548,317,035,653,911,565,326,366,063,171,237,440,846,455,602,
447,806,544,137,212,766,580,876,700,134,354,014,978,327,220,244,364,196,292,
284,612,261,486,372,224,710,119,448,478,838,471,156,489,529,956,896,798,149,
227,164,960,610,904,353,976,386,944,112,315,818,444,033,896,261,713,069,099,
632,019,424,241,500,226,189,296,370,387,496,914,254,222,578,622,153,106,528,
536,323,684,864,928,640,480,370,178,321,841,530,546,144,393,468,637,348,849,
970,904,753,412,552,919,570,789,770,126,457,604,509,514,149,366,820,712,195,
789,456,005,982,711,234,415,015,500,999,833,955,533,298,651,083,033,190,065,
913,047,976,738,641,294,519,079,019,352,169,223,763,607,082,607,009,245,153,
854,528,152,095,046,532,854,239,133,409,352,122,674,462,053,165,271,839,377,
714,778,683,292,491,722,365,923,585,950,173,991,703,030,964,715,441,441,303,
374,753,581,717,523,511,436,537,362,854,387,609,090,021,771,946,585,928,207,
546,939,122,300,937,637,325,989,544,310,616,286,434,575,884,801,083,481,270,
680,918,607,539,486,283,514,621,735,658,603,509,903,814,791,306,643,439,166,
105,649,369,060,154,585,142,552,847,991,020,470,819,821,466,052,396,921,259,
115,809,220,934,607,277,707,991,003,133,644,080,294,103,376,776,208,709,477,
365,609,633,584,810,012,131,148,720,329,105,536,357,094,670,801,392,218,006,
562,828,875,870,381,880,121,662,819,659,130,667,869,750,222,476,457,974,537,
018,391,671,187,819,242,616,642,227,526,212,359,283,708,352,131,615,561,600,
200,504,731,573,212,159,748,765,585,712,820,976,318,727,423,178,994,956,003,
945,138,338,940,352,285,472,840,443,738,665,665,799,456,570,609,916,932,537,
858,756,773,107,067,676,323,608,803,329,667,247,838,527,541,671,154,077,687,
899,861,650,106,483,231,280,968,458,556,892,005,179,845,545,870,919,313,689,
015,757,644,417,123,400,787,188,574,931,751,153,867,515,934,073,787,382,949,
592,499,565,093,258,504,679,769,948,203,953,232,679,349,409,872,735,336,959,
381,276,824,558,674,666,669,287,040,829,725,287,347,209,121,419,339,664,633,
019,380,986,767,992,547,099,711,153,486,105,458,124,561,975,428,890,716,155,
222,726,656,936,433,481,432,547,660,082,166,674,246,912,248,713,586,454,183,
302,873,087,252,105,591,587,060,231,627,155,167,860,511,432,533,817,331,805,
375,818,218,091,398,395,354,410,377,923,129,656,465,047,540,783,266,691,405,
485,718,972,468,240,777,509,887,876,819,177,076,975,684,421,799,090,425,412,
961,559,286,124,473,127,816,360,503,489,813,534,152,804,274,320,933,990,740,
129,434,565,580,280,743,112,038,268,967,630,680,429,140,824,368,344,086,321,
733,326,244,380,846,480,023,637,916,996,622,425,420,339,739,432,880,616,007,
726,818,526,252,430,968,037,580,608,583,187,261,327,367,741,477,830,238,912,
562,488,520,756,838,527,296,453,959,753,586,624,798,233,966,938,331,820,612,
552,463,464,834,898,676,829,239,664,838,276,310,990,572,563,138,451,262,583,
370,140,850,126,087,024,075,747,094,410,284,042,411,644,866,926,546,311,288,
546,116,997,729,674,153,214,109,819,338,955,579,062,096,211,242,709,081,554,
885,185,040,503,612,291,718,244,949,520,459,308,964,720,632,348,064,360,152,
245,331,179,814,448,093,418,195,714,675,111,390,918,114,546,071,214,562,860,
827,260,227,727,011,198,908,716,536,858,174,955,946,553,137,422,059,393,850,
900,154,780,090,229,161,608,500,981,516,581,703,835,375,643,465,348,366,447,
631,879,636,511,537,201,259,470,153,387,652,989,083,979,191,757,307,580,048,
854,549,876,205,157,482,889,499,038,177,153,241,614,908,933,373,153,176,923,
222,674,178,752,228,952,180,053,145,402,072,794,370,043,736,680,440,950,262,
211,326,034,241,981,647,220,304,207,391,016,103,140,678,063,618,382,478,451,
556,257,107,650,971,622,606,090,589,346,063,520,737,533,918,712,145,919,914,
807,836,952,179,614,181,025,421,834,866,305,501,567,923,937,305,412,751,200,
226,642,498,373,687,644,963,495,989,955,541,633,097,572,363,211,897,455,816,
066,573,921,210,350,488,354,578,491,452,859,329,212,179,433,732,845,310,870,
747,943,687,091,503,940,712,757,070,508,773,719,934,971,141,984,553,221,047,
094,424,718,636,789,807,709,602,364,190,771,112,961,199,118,336,804,771,315,
873,412,952,516,146,657,922,397,900,248,940,264,310,009,970,976,697,433,799,
495,078,064,281,608,063,877,599,514,611,084,537,773,072,019,815,019,236,960,
207,197,051,735,530,380,678,533,228,035,533,628,251,904,018,770,072,613,304,
596,175,293,824,673,107,587,893,767,658,427,643,527,713,326,476,634,769,288,
022,212,462,530,728,525,314,917,851,744,362,738,882,862,617,173,050,591,843,
962,544,254,295,199,043,813,823,275,704,174,598,000,827,710,480,329,687,974,
935,950,220,149,895,223,925,077,535,639,332,247,068,326,305,001,910,580,071,
212,335,624,794,237,216,043,264,264,451,347,087,592,120,988,939,797,716,697,
755,825,915,760,914,637,022,513,728,919,120,315,816,072,636,525,918,445,849,
018,873,636,717,485,407,116,663,769,330,666,184,663,987,396,434,791,340,942,
537,445,136,242,687,584,068,061,084,763,964,496,898,578,958,389,892,867,762,
788,492,909,654,086,578,418,135,796,038,124,877,303,396,810,428,064,372,596,
215,627,230,052,620,322,486,225,350,613,701,423,685,908,393,151,014,818,607,
468,678,192,947,818,047,513,540,957,590,317,245,211,875,456,110,998,339,880,
325,582,949,245,605,871,616,779,906,408,093,549,268,236,665,896,520,995,886,
255,904,907,546,312,734,460,111,072,750,228,184,339,364,103,814,580,775,589,
449,292,766,339,110,877,731,074,107,005,277,048,848,260,492,366,127,304,713,
676,316,451,784,316,107,555,479,900,095,700,515,577,525,783,778,773,281,241,
552,900,283,605,450,698,750,986,503,806,581,711,954,821,822,981,652,290,657,
213,632,663,300,524,754,276,027,660,726,853,345,484,589,374,891,301,500,341,
504,657,645,302,865,396,886,277,375,928,738,368,665,387,837,149,920,742,176,
147,075,845,872,006,664,993,549,175,495,236,216,241,547,253,738,668,430,701,
776,296,109,957,299,133,074,555,018,287,117,064,113,501,586,990,508,319,007,
695,795,625,278,337,099,201,494,791,515,014,966,353,816,751,162,376,197,906,
149,826,467,652,694,390,174,700,528,663,330,655,450,596,731,028,203,190,697,
008,188,010,075,356,572,132,980,697,239,153,300,342,062,179,934,736,429,709,
431,663,995,607,477,312,371,225,701,802,500,125,725,537,705,014,937,795,424,
408,283,924,365,045,942,988,397,577,337,355,777,508,515,093,336,041,870,549,
018,341,514,798,132,401,109,494,293,316,663,601,762,908,781,744,574,928,704,
457,270,621,556,426,362,692,525,993,797,496,940,946,353,359,166,641,216,411,
941,019,961,930,517,708,679,335,640,452,536,033,492,254,065,404,533,837,066,
192,416,314,087,814,615,557,561,228,981,173,318,050,407,060,720,850,028,753,
815,107,160,222,163,546,478,406,503,802,913,612,275,425,573,891,829,622,235,
194,966,379,648,445,454,464,346,380,284,596,306,027,470,289,545,349,814,712,
952,918,837,126,802,516,687,666,696,015,659,713,727,802,650,498,504,041,827,
996,462,826,853,765,704,369,229,233,765,912,520,411,041,753,809,537,327,418,
900,159,627,890,708,392,480,620,936,478,934,488,493,318,584,666,977,401,033,
200,841,712,406,130,110,735,706,596,042,366,741,557,390,515,928,108,537,358,
983,367,277,953,878,469,100,317,059,407,780,393,148,780,679,969,287,203,861,
422,101,452,514,155,041,851,711,436,274,013,963,282,486,872,921,436,021,034,
132,840,560,206,341,619,127,171,341,393,104,517,666,375,258,518,346,459,756,
641,969,534,559,967,537,154,518,440,047,093,877,015,135,463,919,862,477,753,
720,915,914,492,344,933,265,226,411,164,841,954,362,184,627,997,324,175,066,
578,407,835,906,213,219,829,941,454,005,334,900,253,619,168,336,090,012,448,
080,429,134,257,831,283,703,373,160,709,878,299,030,406,505,242,008,923,218,
047,259,659,382,395,873,388,013,035,767,324,261,522,674,638,156,505,135,679,
699,771,941,406,633,426,577,736,600,245,112,185,637,228,340,575,990,549,416,
339,160,360,855,097,392,273,833,999,341,814,999,385,070,839,966,075,708,941,
472,253,574,711,162,617,194,890,746,194,792,282,794,865,739,004,127,793,693,
170,199,878,500,723,917,473,118,194,176,062,016,785,933,105,460,685,148,401,
266,544,976,425,748,606,034,539,111,138,490,207,315,054,830,346,777,267,936,
293,373,920,508,300,599,587,914,021,000,732,672,247,253,085,917,271,365,227,
465,536,175,889,463,586,263,431,085,576,951,469,276,649,805,112,467,925,025,
368,857,915,080,584,276,356,120,263,974,410,831,180,284,257,963,142,154,043,
682,824,791,908,023,420,741,425,463,248,804,135,866,413,384,664,389,628,946,
691,151,533,387,771,535,264,041,652,622,261,048,902,615,057,363,597,371,611,
998,257,970,285,473,512,971,640,789,810,723,048,362,858,301,911,572,424,302,
188,306,898,560,420,585,529,867,264,081,240,491,963,966,130,561,226,384,001,
471,856,428,615,271,091,345,508,158,549,020,203,069,369,841,704,894,052,803,
561,391,865,547,872,099,794,180,493,237,490,702,492,250,814,817,933,227,655,
639,141,512,827,821,754,547,094,589,636,156,241,997,326,193,803,005,016,175,
921,498,347,913,110,639,298,096,566,146,750,519,223,817,625,005,812,339,730,
758,809,530,483,219,766,833,995,109,489,986,119,050,482,099,462,405,983,211,
052,506,079,715,329,952,174,293,351,661,855,925,141,730,684,044,110,021,498,
076,641,677,686,445,456,521,837,906,992,509,074,285,909,098,747,741,545,167,
786,035,911,745,428,873,636,594,536,508,454,214,378,673,766,596,959,741,711,
532,719,854,688,137,893,226,714,264,649,729,173,116,194,975,037,519,539,777,
393,005,827,179,243,458,258,643,372,202,556,939,357,918,513,542,421,430,149,
472,580,545,448,602,024,452,300,110,080,968,715,928,560,053,506,339,929,388,
973,665,549,438,651,467,136,608,188,299,163,654,248,325,623,938,324,907,222,
030,433,206,950,652,571,788,212,287,246,628,011,855,205,968,332,978,399,944,
179,472,207,170,742,113,379,489,550,899,002,773,209,553,041,562,713,039,959,
477,425,980,135,311,293,759,514,623,673,338,369,706,264,257,832,000,375,055,
712,285,132,770,019,404,773,938,868,665,379,343,632,574,314,658,562,505,592,
589,549,097,769,193,110,092,117,722,759,483,133,791,442,217,407,711,771,975,
740,667,721,053,245,370,862,316,866,147,309,315,575,989,542,613,621,774,865,
421,098,490,611,821,295,493,698,737,067,440,008,033,553,003,473,614,061,934,
579,877,034,362,591,106,012,283,280,868,580,811,984,350,204,516,476,887,683,
324,854,536,785,047,280,842,808,454,981,066,711,595,972,624,493,990,085,356,
642,945,583,700,937,577,253,208,120,547,871,310,082,469,599,455,454,561,231,
218,448,726,804,868,985,677,346,250,246,414,876,109,462,059,937,062,650,226,
979,821,031,517,493,503,340,550,422,414,026,940,851,867,881,646,957,707,197,
264,420,705,649,602,620,023,375,655,967,435,310,146,840,814,964,145,819,193,
473,036,557,859,045,336,361,104,039,966,755,334,748,868,296,459,268,451,471,
286,489,716,612,476,961,608,901,036,983,014,820,617,248,003,771,912,494,465,
169,075,280,627,365,631,358,598,690,298,925,370,625,094,545,481,320,618,317,
248,418,861,723,786,109,431,064,227,010,451,986,575,962,280,447,118,826,519,
398,940,908,633,463,442,103,395,721,028,061,407,348,720,041,630,124,061,384,
813,182,303,580,199,650,755,490,367,254,178,493,687,612,407,465,148,494,001,
879,712,213,656,336,014,564,051,523,794,190,183,818,194,837,712,169,216,182,
650,976,519,979,749,630,007,584,381,608,472,341,508,026,188,892,118,217,445,
002,422,070,434,199,304,322,549,556,110,921,670,281,652,904,315,638,832,565,
907,470,444,834,088,225,153,612,515,918,329,816,902,120,073,488,136,294,893,
757,941,657,550,880,397,860,512,667,700,900,692,387,862,067,375,851,019,479,
173,718,800,991,381,706,737,340,149,019,477,265,927,064,528,472,415,153,246,
997,041,827,832,299,003,835,424,086,276,465,195,338,884,057,885,003,819,239,
391,069,186,448,358,777,606,065,092,719,157,257,529,641,981,495,194,751,710,
577,589,960,753,997,282,727,122,285,298,635,378,001,928,446,010,865,579,208,
941,722,027,192,284,199,364,774,256,558,910,922,746,468,148,683,940,055,331,
008,713,792,455,420,631,789,416,068,046,997,278,630,642,401,016,083,095,985,
196,971,155,586,132,269,553,043,457,070,968,039,334,108,487,700,688,039,115,
806,746,313,752,913,351,195,703,942,472,407,654,443,200,183,413,631,303,575,
429,467,171,422,484,306,410,018,292,973,549,604,284,315,848,890,308,977,236,
417,016,046,744,772,806,205,777,930,243,465,280,694,068,542,543,990,397,110,
396,027,932,116,352,874,257,424,767,277,529,209,434,521,459,288,642,205,058,
484,992,015,855,633,771,981,573,211,394,391,711,170,694,982,504,515,824,025,
001,663,736,090,072,840,020,434,973,885,713,872,744,756,536,368,546,449,947,
272,851,579,788,306,255,995,936,750,845,299,387,173,163,574,077,847,026,478,
439,118,473,127,648,154,720,177,425,057,039,388,011,112,158,810,472,891,764,
677,382,120,935,909,932,884,227,309,715,458,601,719,921,771,275,814,418,806,
923,255,916,185,090,851,204,743,130,253,050,222,390,895,183,202,117,934,394,
551,415,535,100,925,625,441,842,665,336,682,877,723,648,515,004,635,781,653,
980,660,615,813,322,665,183,075,549,805,785,287,476,968,898,332,710,279,348,
912,995,982,605,322,041,320,318,390,938,607,168,454,357,955,059,285,949,069,
452,119,480,760,993,510,386,458,383,434,795,747,406,346,577,142,854,005,891,
187,369,969,513,258,235,870,817,314,827,856,417,080,126,583,830,001,161,093,
618,872,587,667,991,174,203,079,610,609,053,151,646,684,389,931,938,550,257,
403,599,665,696,699,261,994,080,709,345,357,128,426,404,004,713,030,436,716,
239,136,971,163,329,457,340,648,952,841,082,189,916,757,732,428,318,796,009,
509,473,805,028,818,092,327,306,660,903,846,157,544,584,294,078,055,507,946,
725,619,580,747,747,513,680,814,676,307,719,369,119,895,408,118,810,489,768,
976,432,108,005,037,027,538,722,925,014,862,013,315,854,972,769,827,332,414,
438,013,548,300,457,631,633,966,417,439,633,631,934,758,037,704,233,188,815,
476,629,075,658,978,134,591,633,919,547,368,538,448,040,118,653,650,268,745,
332,127,411,902,085,054,999,648,080,261,398,322,561,338,345,156,228,924,728,
055,888,402,992,835,965,175,448,430,039,721,523,234,327,531,631,925,406,156,
853,500,052,337,309,773,900,799,291,281,771,940,538,344,331,350,046,746,444,
460,040,822,223,086,777,998,630,103,643,451,841,529,992,582,860,481,977,106,
669,155,266,449,643,680,793,064,490,093,312,489,303,978,142,760,495,585,453,
501,209,535,024,633,353,823,551,337,110,071,646,300,261,981,602,976,059,303,
434,494,533,714,221,034,367,101,960,180,686,205,495,169,794,437,600,821,300,
240,788,497,896,426,368,661,521,409,772,899,272,885,463,336,341,788,908,347,
047,140,180,328,661,166,153,811,535,093,223,956,342,565,500,473,745,373,920,
329,255,922,841,225,917,090,456,653,612,033,207,649,231,549,208,666,941,459,
969,464,420,527,734,161,474,629,102,340,635,652,572,350,402,868,144,947,220,
535,820,202,350,478,830,089,579,842,838,006,771,844,134,899,983,962,684,924,
755,033,778,854,175,920,733,932,062,983,972,028,716,785,904,705,389,975,535,
716,354,992,535,834,720,581,978,004,593,893,420,499,407,894,264,368,051,415,
192,937,503,986,211,392,035,648,528,498,908,319,305,021,025,600,699,573,327,
387,272,523,481,397,936,153,466,985,899,045,438,718,942,036,535,376,292,480,
528,675,697,652,659,043,201,078,150,416,662,431,940,015,200,479,847,517,678,
383,055,564,584,942,839,881,547,529,847,898,826,485,962,210,310,686,937,889,
455,796,956,301,085,944,570,385,748,247,018,097,334,407,541,581,507,308,338,
345,517,662,810,878,477,597,451,029,460,358,682,250,737,162,103,604,743,527,
813,694,646,248,287,517,111,626,969,855,918,274,663,434,694,110,951,696,575,
032,384,199,740,304,171,409,558,216,042,977,820,957,020,210,142,157,509,169,
881,033,285,500,221,409,774,567,411,916,166,565,624,503,364,705,050,152,043,
714,077,430,681,405,464,324,632,638,836,665,623,430,067,198,859,303,432,751,
450,372,701,754,234,839,324,838,309,799,232,019,461,025,288,731,445,250,063,
758,033,738,789,381,844,878,374,325,802,175,482,790,112,560,708,152,742,480,
315,294,125,524,291,602,985,904,052,977,778,843,068,256,322,652,667,852,676,
845,464,965,908,608,984,682,882,198,416,494,179,641,334,688,903,214,857,756,
041,243,000,471,408,395,067,646,936,404,683,951,422,266,692,783,104,745,218,
763,380,239,694,103,994,614,810,854,798,520,546,996,841,145,207,415,327,446,
277,851,268,353,427,214,224,509,991,170,669,380,040,130,705,707,591,027,112,
488,993,197,548,115,273,592,352,682,626,407,057,551,074,602,105,478,393,203,
442,511,449,450,246,109,951,709,476,725,749,912,388,735,495,746,249,984,848,
538,542,869,333,238,948,494,937,551,044,562,884,440,961,586,444,642,583,013,
802,792,283,441,059,179,168,814,154,312,520,350,185,768,179,721,591,502,490,
663,741,854,315,916,516,699,448,383,884,297,680,382,964,477,473,333,633,920,
545,865,189,158,230,592,347,564,713,849,209,440,879,893,936,926,245,806,127,
145,558,899,765,977,916,967,971,566,560,786,160,592,280,409,504,348,491,229,
528,850,289,866,291,385,850,137,025,053,603,773,574,051,785,132,892,396,080,
491,639,928,363,277,789,948,600,636,357,552,833,105,110,665,454,163,574,644,
394,003,192,387,295,378,263,839,463,905,839,977,490,163,078,393,104,273,180,
684,957,257,589,710,816,713,821,033,178,279,829,135,851,290,739,876,878,650,
104,637,049,538,435,478,153,087,826,440,721,060,951,329,811,762,425,917,052,
964,041,818,683,071,290,466,704,143,808,411,280,025,351,693,347,126,462,878,
343,108,517,600,279,930,518,361,050,400,358,279,271,816,551,309,350,444,292,
177,922,702,590,005,067,349,123,643,871,978,507,518,610,230,684,755,641,819,
810,497,271,275,121,866,396,001,358,675,665,473,019,341,432,171,067,138,696,
371,431,929,472,902,093,354,256,118,685,039,081,213,505,105,058,586,384,224,
223,897,482,409,239,832,294,326,049,929,686,172,986,543,689,981,313,349,295,
697,343,655,991,836,248,468,267,629,960,317,019,103,616,745,629,975,614,531,
375,341,106,071,787,689,435,982,506,520,968,532,555,390,525,615,683,495,536,
431,781,787,677,137,373,789,547,924,299,989,872,310,539,430,755,441,734,705,
083,527,243,263,490,428,522,928,887,079,975,604,254,700,843,531,213,744,278,
596,470,908,158,914,582,925,623,130,162,770,822,860,642,961,481,064,180,763,
826,846,946,898,743,535,669,840,434,649,643,229,981,411,417,221,498,754,815,
400,508,036,137,209,696,328,169,339,778,735,261,751,010,544,933,750,118,162,
988,745,009,849,199,427,904,126,682,034,769,803,151,240,074,326,528,999,857,
973,188,033,987,561,466,805,610,067,243,703,714,259,899,002,444,911,686,237,
691,221,613,854,126,513,286,388,917,902,110,648,427,312,734,561,241,117,973,
474,593,274,648,458,468,093,592,861,700,944,171,388,686,666,283,290,397,298,
292,790,146,900,108,415,537,281,121,240,902,477,236,092,833,625,764,819,500,
158,877,115,036,387,142,445,892,972,083,409,357,278,165,513,077,908,471,983,
790,949,191,774,337,248,777,750,457,944,310,685,597,928,395,345,697,914,752,
262,562,919,213,153,651,970,459,399,776,999,761,934,129,872,491,364,344,301,
462,600,749,732,838,644,628,696,295,334,203,370,637,158,747,112,714,054,734,
795,058,103,597,712,265,992,947,828,560,801,075,596,455,429,280,567,026,382,
388,711,198,114,013,644,520,034,631,578,483,996,188,025,066,158,768,917,365,
089,008,397,187,051,774,423,252,686,245,414,510,068,829,656,118,082,428,496,
819,638,684,554,289,895,153,935,808,602,395,724,885,006,734,978,481,433,851,
473,412,236,472,715,618,927,208,502,749,219,730,984,167,895,720,310,144,321,
018,154,495,275,576,211,734,067,626,626,999,121,221,173,646,496,116,462,359,
146,105,213,162,508,761,099,470,754,943,476,668,969,917,720,394,543,287,802,
675,338,424,240,503,382,988,762,654,990,710,330,728,909,626,365,176,341,768,
431,831,020,407,891,477,223,305,512,764,568,039,761,083,924,869,383,776,977,
736,365,817,810,930,294,360,899,529,115,835,966,564,794,156,311,929,325,405,
861,774,412,541,519,225,850,018,869,569,342,570,266,852,695,886,996,942,531,
954,503,882,208,895,448,091,495,635,143,529,807,928,068,301,298,861,520,719,
782,144,170,194,920,509,090,247,349,613,533,179,905,194,310,646,947,763,317,
477,056,966,551,149,237,347,164,243,262,479,336,786,999,371,796,408,100,552,
620,404,034,962,757,569,744,208,226,082,520,114,265,145,120,692,972,604,753,
482,862,869,336,106,116,087,561,552,907,087,613,222,600,052,540,509,507,876,
092,689,775,029,128,370,022,036,458,609,816,131,087,326,107,078,632,348,249,
530,416,042,956,293,897,711,485,964,494,216,553,215,839,200,339,954,308,030,
249,975,042,368,258,099,391,966,643,984,422,425,826,663,540,042,498,256,262,
584,041,111,357,993,254,203,208,672,396,357,036,068,353,473,323,207,544,586,
157,152,440,834,172,456,940,379,213,179,044,426,604,247,510,480,315,738,387,
253,234,839,293,632,266,094,329,028,887,289,307,631,012,368,108,416,279,179,
343,734,733,480,287,036,973,219,618,768,673,226,412,141,107,093,339,347,542,
244,918,064,295,255,584,390,891,829,938,581,780,821,008,932,258,864,286,419,
582,887,238,501,593,691,787,148,196,495,098,982,659,020,145,180,479,451,920,
559,107,006,478,923,012,276,754,934,380,164,563,476,695,003,505,322,271,217,
285,893,310,823,257,600,300,462,334,674,436,150,545,870,132,129,541,965,871,
036,259,164,485,822,127,038,675,248,499,186,580,019,098,504,171,346,621,849,
646,413,756,388,609,438,540,293,631,659,795,504,705,815,288,182,718,542,140,
825,750,591,005,115,028,432,774,031,274,118,847,537,065,316,232,100,478,650,
928,339,413,997,121,681,829,846,164,148,020,348,038,427,888,123,450,868,581,
811,302,618,396,091,434,050,836,345,607,643,237,471,165,887,806,298,476,006,
342,005,583,107,209,463,891,090,322,222,081,967,837,286,983,484,893,591,838,
672,018,076,518,684,552,088,517,604,566,477,619,289,155,140,625,840,830,159,
874,814,286,852,966,625,740,948,708,708,018,392,599,415,308,136,267,510,920,
439,093,126,972,714,098,821,639,972,181,999,028,091,045,120,930,277,438,462,
382,145,017,282,333,675,735,969,080,251,894,035,692,996,177,433,600,113,835,
216,787,785,448,438,320,755,540,317,912,028,979,917,617,848,190,669,756,145,
900,651,013,169,218,919,667,972,451,156,404,375,376,291,066,668,661,190,413,
962,415,962,369,650,397,241,839,300,942,603,741,285,111,961,853,843,797,101,
381,059,084,665,694,894,958,295,925,120,576,536,215,072,486,067,190,260,950,
306,747,164,353,521,083,195,666,463,650,559,499,263,499,359,693,076,936,837,
030,219,983,099,361,220,877,508,420,591,538,369,895,429,687,743,780,143,314,
819,494,110,955,513,165,712,972,412,725,354,243,280,006,119,206,660,811,818,
511,620,111,210,065,989,023,645,669,805,041,985,927,478,683,366,332,128,118,
720,267,989,279,588,405,369,353,047,358,812,610,839,730,577,761,766,953,194,
704,189,092,657,834,777,344,435,762,586,495,616,833,101,570,190,626,884,227,
738,786,495,746,253,344,639,803,750,688,494,513,022,998,847,256,179,493,410,
082,714,290,994,468,282,747,862,284,953,207,967,036,483,375,544,145,680,226,
944,345,374,485,581,002,618,605,363,166,599,549,317,047,605,740,135,193,241,
998,686,105,265,565,817,376,420,029,445,822,778,754,954,340,301,907,709,511,
202,487,968,294,627,643,253,755,800,123,577,568,796,697,005,163,784,836,236,
323,652,309,794,616,700,106,213,974,473,479,462,272,364,925,897,067,553,769,
981,814,021,810,705,139,047,121,656,690,983,286,242,375,332,528,683,856,114,
224,868,614,250,738,274,458,143,764,514,218,471,733,545,965,345,292,006,854,
092,227,484,652,471,001,508,827,742,863,616,212,361,800,262,550,764,560,934,
502,679,811,015,026,421,564,375,184,981,633,086,380,711,395,011,874,818,974,
664,549,475,894,804,540,368,728,097,682,862,826,370,836,951,122,761,312,666,
556,428,079,153,153,154,306,494,553,811,258,456,845,785,067,894,542,805,938,
207,463,924,462,076,719,415,394,095,434,435,271,606,638,678,455,207,510,224,
587,055,049,079,337,311,367,723,766,901,958,703,339,372,350,267,990,028,960,
860,960,610,765,628,332,616,979,438,151,373,802,967,492,719,204,240,629,512,
656,467,163,482,405,964,360,906,041,449,851,712,558,451,407,342,016,543,019,
238,713,846,774,638,688,173,841,828,969,605,212,144,418,887,255,469,909,464,
230,814,173,607,275,139,367,588,667,305,263,960,794,444,928,163,003,330,356,
959,768,914,552,101,061,883,813,447,465,719,496,041,369,320,806,221,149,437,
934,739,608,701,546,380,513,704,002,635,493,548,675,817,253,783,548,719,643,
097,713,009,122,806,615,130,976,916,470,925,750,187,697,433,249,314,321,274,
096,669,477,747,937,926,562,683,696,531,872,970,583,422,978,100,322,759,515,
697,588,819,095,552,435,666,528,359,505,648,417,864,789,984,827,570,117,808,
813,211,149,344,624,517,121,152,227,121,866,227,176,612,936,996,844,259,218,
471,663,933,729,025,178,610,350,042,370,803,517,903,735,117,043,727,228,869,
287,346,602,086,817,320,018,323,581,357,305,619,192,919,952,572,558,970,174,
406,721,783,988,000,014,731,934,459,507,250,301,817,621,890,498,475,614,736,
467,380,038,851,465,932,096,739,008,159,485,446,551,088,129,011,465,246,856,
123,007,446,670,249,601,340,097,393,439,696,051,510,532,905,301,569,966,847,
703,405,097,860,636,561,503,662,217,433,390,948,657,563,526,780,489,428,444,
924,593,400,817,727,129,793,146,958,664,288,017,032,378,425,765,107,339,756,
327,601,786,909,065,699,381,753,874,311,104,828,294,670,869,681,914,320,170,
295,525,772,781,693,886,473,272,968,504,577,308,621,620,930,862,049,871,227,
375,694,965,561,963,633,394,658,694,232,658,946,724,696,964,123,831,658,994,
955,078,280,531,067,518,863,766,829,195,242,954,572,576,957,257,653,041,942,
718,911,356,878,805,898,190,397,783,667,570,290,623,799,775,425,505,540,694,
999,721,978,143,421,999,225,480,155,910,975,342,258,896,953,376,487,112,337,
001,319,909,918,244,859,862,816,780,626,154,080,913,500,340,973,293,688,830,
962,151,785,441,500,167,596,504,962,193,239,180,236,548,782,217,696,938,699,
311,432,329,725,171,156,774,193,786,020,531,686,481,394,563,337,578,578,871,
303,431,944,164,461,374,157,068,539,929,265,967,748,118,575,263,330,749,912,
975,520,749,563,081,719,319,565,848,907,578,558,794,651,734,142,017,163,130,
819,959,655,024,655,202,602,828,020,305,857,982,664,135,900,216,768,249,113,
302,856,283,993,831,817,570,054,740,426,583,626,141,476,868,083,614,375,472,
303,696,652,180,765,907,522,222,793,461,164,985,240,295,186,940,902,536,508,
684,143,705,378,224,700,845,389,783,938,097,539,421,653,522,577,551,642,653,
598,759,832,502,872,803,888,492,385,451,402,950,899,581,065,431,434,216,246,
963,775,291,771,573,707,968,282,576,023,019,361,443,571,610,960,092,103,696,
845,258,860,615,081,684,042,623,453,058,356,934,174,908,232,903,258,330,738,
568,642,650,276,753,733,595,477,365,971,164,974,815,738,751,674,722,842,981,
519,505,989,186,742,453,851,788,635,178,580,782,941,975,059,771,748,585,235,
145,880,207,957,151,962,045,740,910,807,136,889,825,169,485,477,160,197,711,
113,609,681,771,135,367,687,490,776,681,950,980,208,770,344,788,753,776,319,
301,731,659,932,635,499,456,307,851,721,665,178,034,464,914,291,522,701,024,
580,796,377,404,668,425,694,735,858,778,366,425,527,853,429,557,425,772,146,
580,691,364,307,092,406,190,432,267,686,710,553,014,195,053,671,482,620,169,
379,100,643,848,531,355,390,534,042,808,247,942,390,171,313,912,318,710,443,
674,010,107,170,688,318,975,743,456,238,644,881,738,809,336,729,467,498,249,
588,005,823,160,732,606,056,491,058,895,653,202,180,600,689,488,683,109,657,
135,952,479,443,527,289,682,004,126,634,829,640,789,060,347,269,757,132,487,
413,296,267,692,380,504,274,680,791,894,306,401,692,995,109,309,299,519,825,
863,006,394,267,988,564,861,298,506,509,335,615,082,764,752,601,580,347,437,
504,588,673,604,701,182,777,486,213,582,483,350,647,330,289,096,055,064,968,
198,865,277,406,019,798,916,643,999,239,762,781,940,220,825,272,503,025,798,
479,635,544,402,126,845,033,866,407,357,126,267,972,275,271,639,739,586,862,
858,948,752,805,278,909,189,845,685,218,986,225,777,331,308,796,413,279,043,
357,418,553,243,308,291,762,881,918,628,848,305,688,198,035,055,551,809,949,
062,927,335,746,621,532,537,402,905,805,044,643,831,571,214,496,831,004,353,
238,124,738,028,293,238,023,349,959,912,748,619,560,756,777,226,035,207,876,
880,336,715,133,610,515,688,300,207,381,475,581,231,114,890,492,889,289,822,
740,410,566,815,862,888,556,016,375,984,185,094,339,609,205,958,227,347,862,
655,076,834,712,495,764,750,506,135,102,064,737,404,129,777,447,245,628,089,
032,584,417,514,435,556,355,742,731,811,331,468,864,712,097,907,234,806,561,
117,598,775,337,253,548,549,487,206,693,984,191,766,373,685,609,289,810,087,
025,879,682,041,629,335,404,253,629,607,448,582,347,036,832,455,010,164,035,
456,096,223,959,488,010,773,296,029,027,939,927,942,588,803,738,228,006,255,
188,552,909,136,196,997,724,362,118,050,136,127,252,052,987,101,286,120,579,
341,718,065,819,099,136,575,122,921,839,900,302,493,362,154,587,187,532,991,
146,451,078,707,834,281,987,933,301,625,016,181,512,795,315,956,010,208,487,
726,921,039,577,522,361,155,283,430,716,872,519,260,015,458,581,850,969,742,
751,783,719,758,827,066,884,578,293,166,024,407,616,834,271,067,200,087,053,
150,404,629,842,395,086,648,196,437,374,227,075,360,335,525,828,639,937,761,
344,138,715,831,865,670,143,580,015,403,510,094,324,682,083,034,800,360,538,
690,136,177,754,297,674,749,057,641,774,114,760,513,648,971,213,743,120,301,
365,478,876,318,683,118,789,202,115,458,168,496,805,551,423,438,312,005,345,
170,701,015,607,426,814,258,953,083,911,109,392,202,630,508,305,610,604,974,
103,813,332,426,977,593,290,851,560,569,217,777,233,464,175,173,562,951,431,
545,304,608,574,328,700,012,499,409,770,668,931,322,051,208,508,608,697,254,
045,870,658,373,739,115,262,082,534,447,285,618,219,791,891,429,155,622,809,
829,038,355,499,201,271,953,101,715,840,371,817,256,857,919,272,660,098,659,
285,611,053,805,341,167,240,997,195,071,856,647,358,919,458,182,340,462,904,
778,925,605,309,672,594,872,434,884,095,692,341,284,259,240,578,550,025,706,
429,753,163,819,036,228,961,411,862,323,119,998,839,737,215,135,384,615,424,
910,756,626,457,147,262,760,347,920,431,405,014,866,928,836,193,804,363,619,
877,566,647,359,575,249,394,593,022,361,396,251,405,670,023,033,064,014,683,
948,100,111,650,195,529,403,344,878,765,227,982,122,415,325,981,618,436,444,
391,703,012,103,354,990,725,855,905,436,036,475,621,086,901,126,009,502,861,
914,495,156,998,919,920,396,219,523,251,691,636,491,027,209,397,978,976,058,
761,236,817,436,414,211,682,870,045,271,120,812,293,411,658,875,790,733,401,
983,346,049,072,368,674,522,244,435,694,657,311,111,653,039,110,288,506,919,
246,482,255,425,391,564,243,664,817,058,695,253,202,349,237,958,188,376,032,
954,008,034,120,794,763,886,601,758,901,025,874,906,680,422,434,253,941,161,
135,350,900,950,301,497,985,531,720,593,548,431,718,749,706,275,897,232,410,
948,337,838,700,427,534,715,457,649,890,068,687,387,292,795,355,408,319,993,
301,246,059,154,683,581,328,106,204,805,936,928,531,886,662,686,798,735,447,
790,371,817,213,864,308,594,805,721,535,990,859,582,720,486,833,691,942,417,
994,483,805,181,683,211,433,830,469,137,753,308,145,284,152,813,417,140,289,
291,384,662,347,013,779,738,039,401,003,200,931,905,953,652,397,410,906,325,
527,194,631,332,283,478,843,455,733,829,829,704,267,217,035,010,384,306,689,
818,544,181,649,583,492,035,424,661,146,155,464,964,730,093,904,051,884,607,
438,111,863,686,091,874,084,069,231,875,335,389,463,244,592,155,228,288,058,
788,016,607,750,733,447,506,938,901,787,012,589,483,642,390,223,439,470,289,
316,274,682,092,747,414,000,730,767,181,266,632,365,567,158,643,178,953,652,
575,126,712,713,008,111,584,978,958,455,342,880,451,354,931,360,932,393,012,
031,871,607,869,611,181,005,921,141,975,678,994,285,416,962,489,743,101,680,
334,014,804,989,733,966,244,418,905,489,102,909,337,452,389,239,788,373,748,
605,354,391,091,418,884,280,688,181,574,532,029,471,889,980,924,968,048,583,
616,995,911,874,830,057,919,369,890,068,178,996,023,106,492,278,249,291,182,
873,640,783,813,459,009,593,873,169,681,579,712,571,688,858,044,172,685,378,
141,875,832,531,037,789,220,158,683,240,873,049,340,621,103,300,118,831,622,
120,560,039,771,652,675,507,628,933,413,442,080,326,560,382,087,585,168,501,
879,448,107,812,187,188,469,048,675,858,017,579,701,900,139,541,093,346,208,
024,330,635,336,409,160,238,103,152,232,588,449,230,060,605,404,468,863,383,
607,271,728,214,735,843,688,510,182,598,948,442,476,169,845,151,008,117,890,
807,388,829,075,506,264,111,789,502,761,215,528,344,240,952,566,128,038,946,
254,679,573,201,116,305,066,016,335,161,097,947,927,108,148,979,606,600,823,
299,866,613,125,819,646,739,920,553,021,905,317,537,676,770,513,001,669,135,
206,768,720,511,963,748,602,447,915,830,858,873,156,767,972,433,037,672,309,
783,306,238,583,754,552,364,154,338,010,332,863,566,652,801,018,072,533,733,
743,923,051,404,597,861,732,377,536,247,774,173,111,817,695,916,252,096,741,
948,829,321,808,490,016,129,993,683,040,488,607,655,085,131,872,291,606,201,
993,300,279,866,638,523,078,086,540,047,873,674,872,374,846,692,376,230,862,
294,929,721,770,258,682,765,160,853,545,670,358,881,853,845,458,793,327,610,
451,612,244,795,024,075,188,482,897,945,801,170,103,352,427,104,108,168,495,
021,278,521,024,117,208,856,343,757,265,775,455,599,298,541,621,287,861,080,
895,191,206,735,141,239,239,094,675,976,166,860,354,981,888,977,276,888,819,
439,345,687,739,977,034,083,165,138,999,943,713,300,103,603,052,278,963,119,
460,287,107,128,645,522,733,920,354,376,556,542,618,333,373,285,700,404,353,
569,947,907,986,800,365,174,868,796,205,574,066,836,442,627,428,198,962,437,
432,893,420,133,838,162,492,773,318,078,167,079,402,295,828,701,273,419,300,
697,145,570,948,817,333,538,740,876,172,814,889,585,289,430,419,847,436,995,
183,573,637,444,662,588,123,794,342,191,156,599,363,897,955,330,719,172,516,
402,721,871,664,010,197,034,562,121,384,626,022,405,712,083,783,136,950,899,
341,175,290,596,411,170,521,350,498,256,068,207,460,841,977,829,710,935,496,
244,549,083,372,953,547,230,362,341,212,337,289,633,133,028,445,775,861,308,
589,570,691,251,452,540,272,498,722,748,609,000,715,957,212,546,352,687,055,
665,178,364,868,583,341,981,894,905,077,964,028,616,311,749,351,898,148,821,
869,396,319,129,486,481,627,924,105,562,995,265,390,786,895,842,446,234,612,
498,486,402,549,348,133,894,193,923,903,280,244,570,682,219,853,562,821,657,
878,582,015,531,078,120,947,572,248,572,580,273,398,260,635,816,036,504,256,
630,458,312,889,796,479,138,916,594,584,422,707,239,179,433,693,215,133,992,
486,108,732,990,342,394,753,530,876,891,254,368,351,916,732,901,484,449,586,
450,816,522,338,377,342,860,193,042,764,896,928,406,614,367,929,944,534,801,
386,912,961,489,062,399,980,097,823,466,002,232,845,413,983,641,690,551,144,
925,405,703,146,517,339,832,100,680,821,413,716,186,780,343,630,118,025,241,
939,165,420,522,458,920,644,373,494,300,583,521,470,130,388,731,171,596,231,
848,060,493,746,575,517,849,450,500,325,490,355,693,603,925,192,626,556,483,
384,959,601,154,954,535,364,932,346,760,105,157,069,763,883,243,017,024,960,
797,051,610,985,516,758,383,134,888,186,766,931,883,168,945,829,351,173,864,
099,757,083,344,720,326,691,200,968,560,989,161,299,532,372,354,721,335,314,
750,660,076,458,876,161,172,844,129,080,161,441,258,248,179,103,939,322,839,
225,074,906,962,896,261,860,171,896,655,684,484,522,000,405,729,861,342,424,
149,246,837,406,990,328,759,760,795,317,622,198,100,272,536,839,295,336,117,
670,534,722,731,566,032,567,605,390,431,133,815,871,924,255,829,563,479,309,
018,025,883,183,100,902,097,968,321,204,110,164,428,415,121,132,710,926,535,
547,800,220,089,746,739,485,299,425,527,275,032,679,801,706,866,962,429,032,
529,793,403,687,679,630,257,506,219,505,088,321,835,300,549,092,408,468,638,
521,536,520,943,234,101,812,510,715,013,700,477,013,319,033,367,476,139,936,
786,537,834,676,937,261,119,906,168,728,568,357,687,923,741,107,406,226,232,
264,368,446,608,626,845,282,848,801,070,364,240,191,393,691,015,284,158,719,
512,344,724,746,716,581,845,170,996,743,260,316,206,413,687,024,772,556,576,
802,496,349,085,961,781,945,951,347,186,276,821,356,529,467,638,752,759,772,
282,523,634,693,053,833,648,067,476,201,532,902,116,724,118,612,478,408,024,
122,652,134,605,303,121,032,706,036,200,965,538,900,254,142,121,224,361,958,
335,469,346,974,278,638,348,826,682,624,786,981,500,136,781,089,225,763,909,
829,366,045,865,883,752,860,218,938,298,602,379,770,912,754,853,781,445,888,
188,631,488,579,347,755,628,811,984,326,047,242,242,179,252,513,954,016,548,
705,663,085,264,127,579,983,789,609,300,016,194,690,551,196,635,917,112,073,
642,054,922,039,756,517,902,480,517,857,943,057,422,411,519,586,407,045,623,
143,692,982,403,060,783,715,820,640,751,559,183,976,375,508,022,112,389,372,
093,673,428,435,712,682,404,358,391,881,025,106,042,959,652,348,991,563,118,
335,956,972,798,675,332,775,371,472,943,276,226,765,275,931,699,680,703,246,
361,574,393,354,134,950,499,692,569,899,661,601,197,679,019,803,892,653,694,
214,619,167,654,272,692,729,034,196,504,960,075,868,699,971,020,021,888,190,
922,998,298,482,565,855,745,486,263,855,427,873,108,706,865,149,206,225,931,
390,687,774,928,106,771,797,705,624,116,932,589,138,306,871,037,368,703,005,
571,358,713,596,212,218,287,066,257,252,207,104,015,730,998,432,795,942,736,
996,729,618,208,981,510,562,509,890,742,977,140,791,365,258,051,230,652,628,
258,544,827,987,493,911,835,018,833,517,429,630,997,875,792,148,217,247,351,
321,183,885,794,686,920,779,323,100,747,322,812,885,535,820,672,885,395,757,
437,352,295,967,899,729,993,358,784,573,712,657,839,256,019,181,966,596,522,
626,529,686,566,170,048,452,461,455,175,257,217,696,122,680,007,457,439,891,
101,356,743,951,213,173,991,139,514,892,146,705,994,859,409,678,495,385,912,
029,621,942,412,624,504,705,428,749,078,595,145,690,927,794,564,116,706,772,
234,765,550,927,199,332,485,709,110,676,135,373,633,953,439,867,520,964,936,
168,089,298,908,976,624,483,296,877,111,851,763,942,015,455,182,691,211,901,
757,591,973,978,716,716,800,348,279,942,604,994,921,682,973,182,156,727,605,
526,490,534,404,454,479,066,696,608,042,872,125,686,174,221,357,750,354,484,
423,191,216,447,648,741,447,780,577,689,921,596,867,997,195,727,596,242,096,
430,870,446,183,262,214,661,140,450,321,009,395,341,664,492,038,140,389,773,
135,774,622,865,774,106,939,674,028,149,532,700,336,116,518,874,184,631,064,
826,317,995,967,965,779,719,931,104,435,723,936,316,718,847,350,719,432,101,
275,965,614,209,516,278,005,484,545,975,400,608,074,476,691,560,920,603,904,
833,100,956,964,459,930,211,738,828,357,436,802,641,170,660,396,501,014,706,
964,048,697,176,499,063,437,686,390,619,126,542,285,319,343,667,586,837,672,
611,445,374,791,581,946,016,396,669,077,301,326,331,727,268,460,152,127,047,
338,479,149,191,135,529,046,413,507,710,181,502,656,623,099,572,362,197,200,
449,537,087,249,446,733,857,712,418,851,404,142,777,127,253,956,804,046,516,
812,941,222,687,756,853,236,475,167,301,189,975,816,376,945,463,797,568,300,
183,768,921,799,031,267,978,681,691,631,561,229,311,852,114,091,777,115,202,
557,383,587,937,919,913,250,587,601,513,922,589,961,768,081,319,008,749,547,
962,810,521,694,174,232,325,318,916,771,831,595,752,783,679,759,486,762,392,
291,633,867,097,922,179,418,720,673,342,327,748,720,754,866,226,071,259,156,
488,179,068,208,395,345,967,003,865,986,392,313,743,186,729,685,969,487,851,
791,589,771,277,838,044,152,061,733,385,139,581,185,012,500,384,280,699,937,
282,446,684,894,243,910,895,951,932,827,807,238,835,519,599,714,570,778,862,
400,664,851,420,108,169,692,302,831,251,246,191,910,144,893,190,383,454,625,
134,695,315,522,647,316,601,569,729,338,427,776,058,500,891,393,140,455,478,
597,549,135,216,024,019,341,565,825,599,820,129,210,340,745,803,140,620,520,
635,446,784,310,567,567,444,006,819,602,773,117,210,986,472,503,793,574,361,
674,645,799,303,207,363,465,702,339,762,688,178,809,507,726,669,271,264,051,
826,140,858,268,892,995,152,146,723,372,723,000,804,556,604,701,700,024,127,
890,843,235,943,106,987,085,696,780,794,095,497,783,279,088,417,929,702,261,
130,563,890,340,849,480,026,772,014,476,689,540,623,647,708,961,427,044,052,
392,301,802,722,242,384,691,011,850,092,535,966,816,793,370,493,791,433,865,
500,839,842,129,854,721,446,698,361,406,448,836,136,790,312,659,927,013,908,
704,790,804,204,130,486,863,219,232,059,084,671,779,284,646,497,762,094,474,
951,867,567,247,180,235,379,651,055,421,694,764,897,323,961,698,230,082,311,
491,968,981,531,623,862,390,441,421,975,071,257,359,015,140,485,235,789,753,
983,322,571,403,696,488,015,687,809,935,989,629,051,626,520,801,312,474,932,
676,598,191,131,288,356,864,272,755,309,757,194,120,256,584,962,305,509,925,
170,925,628,823,110,511,659,994,890,188,756,768,048,185,493,420,233,313,279,
007,328,504,942,941,750,178,097,092,587,049,525,270,917,883,386,170,783,792,
157,387,386,676,695,855,350,166,764,806,162,396,264,600,349,738,997,613,488,
097,451,257,771,102,598,016,653,434,703,166,961,604,509,051,657,081,522,433,
252,435,054,330,863,410,798,546,668,699,158,300,097,503,908,548,886,189,666,
769,459,018,340,312,974,121,046,233,203,719,234,087,276,763,189,195,670,074,
271,657,167,375,634,017,055,024,840,739,596,629,023,884,753,598,295,345,549,
988,969,134,026,628,758,917,936,702,482,120,135,517,138,705,072,635,603,912,
930,287,015,330,252,710,497,856,765,780,563,053,469,073,544,870,424,507,778,
039,040,063,133,141,352,077,820,415,987,812,084,412,758,641,730,908,606,351,
093,300,546,230,261,208,335,357,097,859,478,037,207,776,549,939,301,884,277,
274,668,116,624,632,095,088,135,887,383,524,302,171,785,592,339,088,299,862,
640,747,564,102,438,689,276,836,531,417,741,999,410,607,081,192,516,232,884,
089,508,163,860,176,607,428,924,267,784,408,852,902,602,454,249,206,799,179,
061,258,962,934,259,187,843,509,038,705,738,393,582,980,717,494,610,276,010,
379,192,018,585,770,072,995,845,966,715,713,999,421,564,083,197,799,834,527,
547,261,413,872,497,208,422,421,752,651,196,506,077,362,523,117,501,339,329,
412,939,059,951,652,328,799,509,091,994,468,580,236,879,789,421,780,726,815,
170,880,913,476,512,091,925,765,411,562,372,817,468,453,110,922,403,959,146,
656,723,873,264,626,718,426,323,701,134,318,232,741,423,662,976,691,220,233,
069,769,401,865,171,764,451,637,606,026,039,323,527,737,760,198,306,689,873,
326,669,290,101,985,210,676,111,908,648,359,668,768,252,949,120,064,569,709,
724,282,889,460,906,670,388,750,498,208,754,216,287,902,813,823,203,520,616,
384,394,307,491,207,438,304,871,223,913,420,245,765,187,033,004,612,086,882,
058,384,696,821,784,394,771,469,321,741,990,463,644,412,884,564,120,031,196,
008,112,909,029,804,696,807,270,386,861,269,109,342,876,525,907,418,908,306,
101,573,479,918,085,567,635,822,445,033,035,092,125,371,728,845,372,243,358,
126,492,543,416,588,009,043,359,446,972,709,710,931,992,269,318,987,047,633,
536,822,013,476,658,556,383,540,490,951,243,123,059,495,889,662,556,043,472,
051,732,688,457,823,584,733,438,258,246,091,004,500,340,689,025,085,156,041,
202,789,267,755,358,142,832,801,762,373,183,938,136,738,477,455,952,521,112,
247,125,843,344,921,772,465,784,943,964,467,907,811,551,288,480,686,426,534,
634,850,042,886,348,063,941,364,303,163,760,350,244,883,736,436,980,354,657,
269,999,550,460,241,131,357,218,884,218,047,691,670,409,046,922,243,197,780,
989,651,151,930,985,285,850,882,735,595,747,040,698,461,385,802,614,982,354,
272,061,762,619,383,723,642,995,229,375,103,223,171,679,909,578,219,155,369,
636,314,031,253,248,991,233,159,181,325,863,640,353,209,920,306,229,908,536,
665,900,679,260,327,227,858,580,402,666,154,059,509,710,142,406,152,907,243,
153,560,040,597,467,280,240,159,345,832,929,890,851,101,206,566,234,370,821,
678,338,381,625,884,315,107,620,242,766,266,191,499,438,479,483,787,827,440,
322,321,530,753,096,110,179,792,536,580,955,332,897,850,431,478,579,605,234,
223,422,906,084,998,255,027,272,254,336,630,255,419,539,188,564,373,834,533,
301,840,672,514,864,674,256,688,780,658,888,409,125,951,591,697,237,064,667,
933,485,329,811,691,673,215,756,244,049,049,473,801,495,506,278,279,066,700,
050,754,542,151,771,414,786,317,247,664,364,159,430,716,280,147,968,464,090,
051,846,324,453,015,969,848,073,344,335,436,566,600,200,636,232,168,225,431,
036,395,992,459,615,780,972,828,554,738,836,035,904,486,105,860,147,195,917,
399,711,174,316,657,205,450,441,095,019,117,451,695,782,408,222,988,786,682,
426,007,034,135,309,381,971,628,472,355,216,726,644,243,294,631,974,928,032,
190,429,035,305,389,988,116,973,878,028,950,494,286,040,740,591,333,955,871,
427,411,642,453,175,917,989,031,256,374,184,724,520,649,296,853,986,500,784,
834,095,241,047,673,092,230,237,947,522,615,615,646,380,046,582,488,427,195,
825,831,378,311,693,658,187,983,192,209,867,392,798,403,502,160,212,674,254,
227,800,033,237,657,654,837,080,220,442,642,054,484,679,684,676,332,728,543,
848,609,851,235,444,326,233,459,251,206,910,087,816,948,817,213,604,088,670,
040,336,469,063,985,839,049,612,759,448,181,380,302,069,161,961,157,044,904,
325,652,032,948,320,104,608,376,583,378,582,135,184,770,548,594,822,975,926,
483,252,530,972,487,060,764,979,353,606,522,297,819,717,200,865,133,912,398,
916,832,234,026,929,156,642,137,856,619,140,190,758,246,484,638,076,756,421,
006,893,473,043,839,183,447,336,716,094,458,809,282,530,422,455,652,561,142,
930,331,610,172,747,404,786,119,112,763,942,135,833,554,852,082,192,026,088,
620,861,592,942,766,102,173,580,465,408,051,277,172,734,933,712,378,134,840,
743,915,628,818,326,075,502,215,196,536,274,458,849,415,172,634,587,284,520,
158,030,175,058,582,688,302,587,035,385,300,607,242,064,474,430,389,682,780,
242,672,017,934,987,560,850,531,428,028,393,047,089,701,101,240,132,407,106,
201,191,703,696,214,990,244,901,026,851,808,720,729,006,056,376,915,810,550,
477,045,039,092,629,802,821,385,883,415,191,095,584,368,860,773,146,566,706,
467,557,375,232,465,804,911,657,772,295,128,193,576,947,211,665,118,081,610,
167,860,434,643,033,940,818,488,306,161,494,647,895,924,411,432,705,425,521,
863,392,655,749,282,411,144,031,066,802,760,302,363,091,862,588,897,379,216,
842,744,473,933,366,517,132,212,355,597,559,442,873,534,258,599,887,434,711,
492,723,294,622,428,593,245,566,938,605,733,833,567,180,028,006,148,839,836,
604,672,232,497,080,779,051,511,273,125,006,759,452,420,722,864,122,239,630,
595,865,273,298,352,433,155,333,561,934,583,774,839,925,035,238,527,924,468,
989,756,427,454,757,313,412,508,145,514,549,570,064,338,006,539,422,455,110,
081,630,600,808,757,817,755,498,038,172,574,863,972,241,658,330,597,654,695,
102,794,994,310,168,794,414,409,166,636,035,507,530,638,850,426,962,370,674,
969,168,256,545,027,531,075,792,717,389,299,803,267,732,439,191,482,847,932,
421,428,693,713,845,892,659,660,928,364,064,251,513,586,240,229,998,059,732,
922,358,301,089,112,966,753,379,589,875,307,107,118,998,522,443,111,306,427,
803,273,767,320,708,684,165,547,368,841,423,345,527,979,037,650,052,795,447,
447,594,141,413,909,360,799,149,957,526,124,075,735,701,753,042,699,438,234,
418,336,406,401,082,582,029,293,128,102,202,331,002,019,089,520,999,308,387,
133,766,410,627,873,593,344,530,644,275,693,043,146,615,554,176,410,892,216,
387,461,353,304,402,068,431,437,389,063,339,205,026,130,608,500,261,742,616,
057,606,241,180,513,284,337,232,539,673,815,942,954,128,188,511,119,581,943,
458,473,203,775,232,155,955,894,757,703,137,073,494,489,643,871,152,861,994,
832,043,785,833,196,577,550,924,178,909,541,838,003,541,356,751,662,875,020,
184,794,413,264,425,655,922,282,547,704,489,140,335,393,411,748,382,203,908,
176,892,724,313,300,453,659,899,694,999,914,281,722,973,028,644,328,025,664,
741,473,760,576,497,405,774,552,090,354,939,333,256,788,341,395,969,187,589,
246,203,029,459,537,262,974,039,196,263,922,723,452,945,970,749,200,323,926,
518,570,303,516,582,166,000,463,381,769,312,084,769,895,379,823,730,884,242,
119,629,604,450,659,337,044,271,436,156,295,405,881,242,224,235,899,740,827,
800,705,334,533,940,118,962,219,173,839,877,989,927,992,352,076,759,382,512,
408,263,508,755,142,207,935,509,188,710,418,558,027,312,754,224,635,247,498,
480,191,605,964,314,683,649,441,473,278,617,728,336,354,697,021,550,146,282,
959,761,562,618,203,950,687,038,273,460,075,287,500,929,635,843,239,398,025,
032,305,987,774,163,499,927,971,659,210,080,097,957,739,923,950,063,154,710,
177,725,022,711,264,126,224,711,867,472,734,231,720,662,893,125,549,428,757,
955,338,873,531,955,523,271,077,919,564,419,689,323,798,575,815,280,561,898,
446,517,079,922,977,095,004,261,115,123,076,162,369,698,610,861,921,505,842,
472,274,445,172,476,787,136,521,327,279,284,934,579,310,566,470,780,178,152,
308,657,269,389,290,797,670,523,859,079,166,495,579,460,798,982,680,253,153,
229,226,827,222,071,886,839,219,936,200,259,356,969,755,895,792,144,154,011,
185,926,541,425,070,333,236,777,952,486,395,896,324,219,537,356,121,594,293,
152,605,260,385,990,115,597,670,933,358,313,484,609,288,888,281,923,592,304,
782,306,140,294,635,289,093,023,634,466,569,732,515,317,764,220,339,119,660,
848,537,239,875,919,793,340,581,193,400,212,493,149,041,577,403,167,779,715,
093,072,440,828,731,692,694,940,324,473,518,595,578,340,204,576,346,609,417,
920,836,094,201,628,237,122,007,772,231,581,332,030,734,962,258,736,695,282,
857,755,579,440,465,514,811,522,128,641,453,006,668,302,058,718,274,532,415,
485,099,840,910,118,756,791,738,185,620,481,852,257,788,077,672,492,426,294,
918,086,849,352,807,612,251,153,593,909,810,959,044,003,642,779,964,211,142,
280,430,026,573,911,854,482,782,099,091,949,063,122,123,567,959,562,518,095,
321,532,827,300,387,197,707,231,132,577,821,918,639,417,834,070,826,083,333,
944,260,187,673,605,350,163,994,498,097,767,149,247,456,505,223,841,443,741,
291,171,607,559,391,116,727,725,293,566,558,473,151,011,320,493,067,187,533,
272,528,952,288,898,856,071,484,801,196,649,553,652,252,180,068,768,104,625,
264,966,611,703,297,315,443,078,353,601,025,772,051,402,612,131,912,448,352,
887,189,237,766,802,024,160,434,313,243,722,509,846,230,995,261,057,823,880,
332,556,362,290,520,223,637,863,207,583,463,398,610,145,498,330,370,059,129,
375,420,487,882,060,755,481,322,918,084,616,158,412,767,505,107,711,210,300,
294,818,706,738,930,930,889,849,486,602,130,225,508,717,759,212,470,480,823,
255,352,763,330,164,019,554,096,527,651,511,749,530,981,561,290,422,953,595,
031,848,139,599,069,393,632,325,966,305,095,514,081,042,535,831,736,053,531,
415,692,819,021,624,571,732,008,919,565,779,218,562,846,438,564,852,210,589,
886,270,786,628,437,579,955,744,034,682,764,613,980,955,911,712,519,379,787,
938,347,178,174,773,100,712,307,113,145,516,451,279,807,378,969,993,950,682,
852,144,196,338,332,796,700,103,097,596,302,704,548,738,884,485,709,706,717,
841,162,023,594,222,459,742,443,462,797,601,181,054,205,753,360,455,697,411,
621,240,143,588,694,226,667,489,148,870,861,782,648,178,483,118,361,502,525,
633,484,157,001,067,844,283,543,806,583,180,779,566,105,085,596,979,637,633,
023,904,534,260,300,912,226,009,437,580,646,160,499,113,767,399,662,766,043,
269,248,835,407,619,843,031,361,878,511,445,987,382,975,090,009,103,267,706,
394,926,902,978,159,923,468,280,068,658,800,223,222,826,561,507,834,764,407,
373,160,974,806,075,129,692,934,713,140,750,627,837,795,049,856,189,701,923,
769,653,655,928,449,615,237,615,806,038,690,517,014,336,308,502,149,303,371,
457,148,378,242,079,459,707,194,731,373,801,118,273,770,313,035,283,501,757,
643,830,228,022,716,147,472,049,363,155,488,353,904,067,769,104,997,864,674,
557,965,833,032,722,663,501,079,689,297,163,269,261,836,267,768,366,001,341,
636,811,468,022,122,584,116,485,718,316,936,102,627,968,266,345,986,355,746,
995,170,408,895,911,558,432,193,406,540,278,646,499,314,076,972,865,329,161,
610,801,789,843,035,644,674,187,141,663,087,163,813,819,856,657,503,551,361,
984,093,657,747,328,168,286,123,572,815,751,567,742,311,623,633,006,059,835,
590,972,124,220,815,615,968,197,779,956,734,527,442,629,745,992,518,761,881,
581,143,253,529,279,537,503,686,723,145,851,229,939,065,550,624,599,601,711,
706,887,726,555,983,586,836,628,578,044,561,378,045,314,913,242,229,396,187,
391,133,141,385,369,906,021,565,425,627,889,831,889,755,994,844,939,182,141,
594,102,403,427,338,955,223,646,024,217,636,144,522,643,154,465,019,407,194,
456,787,752,214,317,279,832,131,886,318,043,988,951,701,297,706,314,754,727,
321,709,622,281,205,370,531,937,369,784,011,007,796,442,560,974,104,399,037,
354,582,646,175,468,695,917,224,780,209,503,154,707,432,725,555,491,036,671,
408,498,981,344,024,945,370,101,233,067,872,308,250,966,707,445,846,084,738,
524,688,814,244,934,808,204,355,212,491,683,366,546,019,944,857,630,105,251,
585,530,684,052,642,186,273,835,030,547,324,162,186,928,265,691,515,244,831,
341,784,750,355,350,201,874,630,544,095,322,188,667,068,697,920,782,427,574,
282,650,760,063,764,110,455,451,922,293,243,072,959,488,902,382,850,127,738,
331,653,741,855,263,791,751,336,342,941,204,925,755,049,447,872,085,861,646,
899,923,785,438,685,853,620,564,074,819,645,044,687,198,297,206,217,385,864,
948,285,649,484,667,458,443,106,892,249,168,293,296,517,477,546,723,414,969,
050,251,508,111,904,947,919,980,592,721,374,520,460,430,000,564,968,764,604,
206,868,916,833,693,505,180,697,156,512,088,904,000,063,521,215,862,856,053,
291,383,942,864,261,721,114,296,349,100,710,806,279,778,888,341,884,564,652,
589,287,011,481,854,841,834,331,562,656,403,098,355,503,429,929,305,714,747,
177,192,809,591,549,613,461,409,080,113,331,673,575,282,534,159,157,585,270,
635,078,772,726,128,946,603,480,939,886,716,867,141,199,094,782,479,405,751,
689,097,560,275,894,110,267,926,793,772,907,602,703,718,762,002,127,135,736,
645,745,094,304,639,230,461,607,534,207,360,223,582,511,295,679,473,438,499,
163,404,166,354,158,644,772,253,867,302,410,206,850,398,884,054,898,039,910,
388,651,862,077,912,832,257,212,416,322,762,165,807,347,850,420,835,725,157,
051,209,234,661,426,923,258,955,562,770,329,972,541,854,849,752,278,372,505,
790,418,835,009,269,508,932,808,468,847,395,160,989,672,196,502,892,656,460,
292,772,581,801,373,787,837,397,109,142,468,024,493,833,090,872,258,249,586,
199,421,077,902,915,235,335,431,390,612,946,071,617,688,669,757,178,483,828,
780,725,539,932,397,936,426,414,393,905,806,164,110,917,891,984,330,946,393,
051,668,985,788,372,755,049,754,831,239,052,649,044,154,636,402,437,912,209,
679,949,192,375,516,724,054,369,238,903,110,886,214,645,889,531,933,632,458,
474,091,855,170,434,581,948,257,008,827,640,504,383,026,685,199,360,521,689,
519,546,808,475,406,905,864,138,694,850,973,963,948,125,618,888,438,063,237,
393,984,316,252,837,980,344,444,679,901,786,618,224,251,903,526,578,438,988,
882,777,859,130,254,722,946,988,642,822,313,379,115,769,309,777,827,838,819,
297,605,998,529,511,322,075,156,838,016,426,656,216,253,440,841,398,281,731,
690,466,856,434,383,929,410,709,459,803,115,400,733,355,725,388,374,658,657,
113,355,986,708,775,548,637,024,175,841,127,740,158,365,803,128,959,496,334,
632,315,692,635,236,648,489,989,768,704,063,325,361,697,411,966,137,896,388,
575,748,175,310,244,009,401,899,751,869,853,860,285,718,204,875,860,810,549,
635,578,409,197,490,312,132,570,189,454,566,284,839,169,120,444,759,058,757,
762,016,330,639,043,649,434,048,581,348,845,957,124,093,464,415,037,395,619,
534,897,523,227,732,165,595,461,940,743,179,582,930,894,424,759,570,384,020,
628,667,094,083,509,006,802,266,054,498,046,938,966,854,553,647,159,088,825,
336,430,237,198,753,982,404,758,635,104,674,906,066,173,250,276,551,089,927,
300,508,004,390,278,188,247,250,655,128,164,367,655,779,637,910,842,743,473,
583,927,577,560,868,095,089,837,945,295,451,144,453,595,724,697,977,504,845,
615,948,368,307,731,916,783,328,988,610,785,905,368,682,561,281,087,278,725,
622,757,080,795,913,084,190,295,735,882,121,589,780,445,421,989,794,441,394,
700,802,197,783,856,150,890,937,112,571,275,638,765,069,117,126,571,291,006,
676,764,335,311,886,929,160,517,725,006,620,245,523,393,998,968,260,493,209,
887,112,284,769,490,332,947,594,120,401,710,934,648,352,469,167,667,020,538,
210,578,815,317,488,282,580,602,251,371,280,021,790,180,980,605,303,745,099,
434,323,537,076,469,490,759,107,959,862,383,700,825,133,309,896,801,743,060,
426,707,433,307,500,909,623,256,204,729,198,445,134,913,591,851,004,204,133,
995,233,691,402,168,301,685,339,920,788,992,095,486,115,823,253,955,702,479,
680,081,403,686,971,163,397,864,400,066,960,723,866,905,638,513,368,170,462,
509,358,916,366,820,382,256,900,877,703,744,463,252,699,029,885,723,027,839,
261,622,450,686,171,329,709,080,976,933,004,552,926,321,054,013,387,814,405,
523,566,849,836,583,809,301,979,977,189,104,687,624,800,453,250,294,334,514,
689,342,488,706,632,686,695,470,825,400,785,006,667,779,726,997,630,237,460,
007,969,449,948,068,458,518,009,728,285,792,029,003,137,394,426,369,631,327,
244,641,312,901,393,346,926,887,153,906,390,746,184,702,888,746,697,394,358,
395,257,087,486,112,259,554,480,093,258,546,234,525,549,959,467,092,343,432,
489,047,107,950,753,477,918,500,033,706,623,738,615,847,962,657,540,722,542,
031,314,559,184,070,933,746,753,011,945,390,807,157,165,571,642,497,455,018,
255,419,776,522,095,619,231,524,475,124,387,532,004,341,819,464,284,866,147,
212,223,226,483,664,332,937,359,494,795,709,242,435,498,423,588,179,601,602,
488,369,133,919,669,046,079,384,018,341,426,836,553,925,407,499,869,947,783,
995,215,402,479,491,059,922,780,987,659,751,271,155,157,339,195,618,348,953,
477,238,289,453,690,051,767,930,389,140,907,556,443,218,017,852,394,761,895,
383,797,002,553,218,163,871,108,422,363,394,812,443,512,511,644,483,788,050,
844,970,427,044,733,663,819,899,701,567,977,479,555,695,576,366,278,224,811,
491,884,350,092,277,751,737,993,786,837,026,639,473,440,590,032,353,763,267,
359,292,111,327,995,351,869,527,366,117,010,724,789,779,167,767,292,424,073,
229,163,353,445,003,327,137,355,562,530,598,218,068,247,072,379,342,878,411,
692,171,341,627,636,652,634,772,819,093,961,216,904,893,885,895,711,656,824,
585,593,235,065,141,705,308,938,118,780,264,650,024,059,586,194,445,291,351,
133,553,871,567,803,479,057,636,070,154,756,541,329,997,738,937,524,611,468,
763,571,852,862,521,672,757,922,934,354,452,709,035,019,681,061,616,834,389,
802,169,022,298,647,359,509,723,210,462,369,382,060,325,398,290,139,507,260,
470,885,560,618,538,832,962,181,355,964,636,405,240,731,844,020,905,006,066,
504,731,836,209,733,993,509,832,722,354,919,576,104,629,400,263,603,005,581,
870,934,097,767,115,173,203,096,827,949,124,472,428,457,955,543,575,078,241,
461,376,494,323,008,536,459,369,820,097,834,327,731,289,997,715,056,891,649,
449,973,019,609,530,873,395,193,625,913,775,377,498,414,493,724,816,616,186,
713,841,687,833,820,766,489,069,719,856,478,727,627,008,032,067,993,827,257,
912,220,701,047,903,227,330,643,525,341,085,641,647,547,459,381,891,543,782,
618,896,067,735,489,741,711,369,553,932,010,731,721,983,043,268,286,092,447,
989,911,412,314,102,058,026,865,251,131,992,188,613,177,148,695,081,646,715,
374,943,148,249,871,702,096,121,280,819,127,698,603,485,045,335,059,798,530,
251,690,643,424,803,622,279,820,101,557,338,505,545,878,940,042,527,074,586,
712,867,721,241,231,987,030,819,055,296,598,685,088,365,847,684,552,632,116,
746,047,140,514,900,452,149,155,945,480,256,626,190,958,218,869,466,415,256,
080,542,205,549,311,895,102,094,307,912,924,379,011,782,435,881,131,764,904,
093,216,507,853,544,317,942,273,957,416,698,490,161,040,239,540,696,438,447,
342,105,077,514,859,642,153,920,900,735,322,776,005,943,211,716,100,383,452,
244,320,163,545,557,842,623,220,527,223,298,056,742,701,455,709,290,628,533,
981,647,670,862,989,383,231,491,685,691,968,842,500,238,527,868,176,726,110,
436,835,758,057,773,723,768,437,999,255,550,767,098,315,384,453,949,744,917,
629,397,731,427,214,811,708,216,873,211,810,296,739,859,844,823,003,101,796,
674,389,022,567,537,012,226,709,811,553,280,143,708,444,764,534,349,965,935,
309,214,747,948,127,965,151,170,602,360,123,592,577,703,830,195,562,132,982,
268,848,638,608,402,980,502,114,107,981,497,078,107,865,609,027,536,174,856,
795,627,344,496,919,486,117,934,496,885,386,889,255,282,873,810,825,793,889,
877,360,989,492,340,776,204,066,394,469,683,436,113,209,499,891,587,771,075,
999,332,277,183,181,798,610,797,569,056,940,302,673,188,798,614,210,659,878,
893,414,211,495,473,792,284,998,551,855,928,830,280,151,900,889,835,679,507,
382,744,384,018,566,698,890,755,712,415,729,506,183,883,922,905,356,388,427,
970,027,881,535,653,013,911,356,680,994,898,719,029,252,185,837,621,175,898,
758,069,924,348,798,155,970,078,777,802,641,824,366,557,988,333,158,962,778,
139,157,986,036,674,487,066,384,056,988,766,943,893,098,427,999,108,659,892,
834,405,039,996,369,267,025,672,717,835,563,472,673,848,571,829,592,538,998,
108,790,175,550,964,014,868,815,704,234,912,537,731,376,793,936,874,820,954,
510,354,278,404,988,637,035,119,190,956,406,083,362,879,333,828,319,325,303,
727,687,558,113,970,859,248,784,772,158,015,188,002,150,093,209,504,776,288,
897,368,358,191,398,100,738,925,097,032,634,660,396,834,110,442,120,560,365,
757,168,646,994,073,224,319,621,904,836,215,049,419,388,275,295,230,161,223,
287,471,973,166,683,943,297,872,830,791,122,384,918,810,527,712,033,875,331,
214,076,214,990,268,839,537,954,672,886,132,982,210,725,274,481,209,446,620,
565,755,208,592,770,569,474,367,786,212,396,967,163,193,491,569,438,491,105,
361,897,702,928,489,857,203,500,996,644,295,155,311,669,854,446,083,295,519,
601,693,981,694,769,699,406,969,308,524,798,504,097,411,186,389,864,455,393,
349,504,861,631,282,233,971,745,316,774,567,305,031,912,792,415,124,900,088,
313,096,775,526,504,687,488,833,727,671,017,093,770,604,500,131,722,049,200,
445,484,077,849,877,929,281,942,178,886,871,490,473,785,977,399,164,786,580,
166,504,525,117,758,865,658,005,246,818,797,297,991,679,524,472,402,371,155,
389,770,033,942,440,087,249,161,442,172,643,730,058,204,320,480,224,040,114,
687,285,636,502,081,698,068,703,050,710,558,511,538,840,346,114,504,642,105,
751,298,944,421,752,949,312,299,907,522,885,156,575,284,463,215,460,889,974,
919,063,782,678,744,709,757,393,438,434,470,007,803,971,036,737,570,153,761,
785,773,001,512,201,657,193,188,343,496,180,519,884,758,419,104,545,763,910,
972,101,350,842,649,734,779,700,713,262,688,826,822,956,518,556,976,214,008,
562,459,392,339,490,815,932,477,414,503,934,668,809,707,161,812,432,333,960,
811,120,838,027,815,309,462,819,984,808,729,053,615,031,879,983,923,648,467,
056,739,147,434,634,123,757,200,211,123,294,993,322,137,456,536,921,218,598,
819,243,005,904,059,695,961,401,438,789,415,273,246,593,270,314,990,774,531,
324,476,577,007,643,424,750,700,088,641,219,450,157,300,794,538,665,193,658,
094,327,967,574,436,968,322,565,961,778,247,169,018,654,383,770,135,235,768,
663,635,621,470,681,625,693,499,619,178,073,088,946,271,470,480,699,993,934,
207,706,894,753,818,873,036,313,469,663,319,395,820,466,937,869,929,381,268,
034,407,798,982,451,702,192,868,320,296,420,513,647,091,794,428,774,958,667,
001,164,046,850,010,875,587,767,277,474,797,880,962,211,890,075,518,394,594,
027,451,761,124,387,867,705,129,209,844,762,963,689,399,329,797,018,968,165,
307,546,913,861,586,369,369,318,040,159,136,333,918,173,594,960,869,406,541,
301,070,054,499,072,028,763,862,533,330,136,526,082,790,539,369,816,724,832,
202,862,719,352,059,588,362,484,366,968,465,917,141,403,700,235,380,102,744,
138,156,246,823,725,282,256,623,920,749,269,510,106,414,415,160,424,012,784,
793,575,572,335,220,418,013,759,327,076,729,976,362,113,825,738,505,522,122,
607,045,033,750,231,225,931,021,899,019,976,066,205,139,488,061,580,893,298,
105,567,610,321,646,524,826,305,104,522,145,685,775,239,969,951,875,859,874,
051,282,297,522,859,973,634,649,781,660,066,004,111,031,776,685,226,272,792,
593,854,993,865,949,153,290,430,552,682,709,386,945,891,993,364,881,600,113,
868,220,131,574,694,827,685,492,660,676,216,266,554,628,935,160,505,504,990,
846,609,439,513,074,322,111,556,212,705,908,730,818,964,360,941,551,415,337,
846,952,217,540,043,167,257,006,580,776,179,334,989,254,785,139,677,618,329,
677,523,495,562,136,958,836,078,251,265,211,419,262,810,242,616,964,693,923,
093,222,390,866,889,729,623,456,367,401,038,179,326,015,834,528,360,076,335,
090,154,129,840,486,767,802,235,292,865,687,886,186,164,135,647,616,281,418,
203,279,206,964,040,261,996,506,387,322,481,734,609,028,246,013,160,089,346,
712,785,574,055,171,896,690,812,573,373,795,752,192,338,595,958,111,624,641,
591,571,173,423,257,814,771,169,362,771,653,641,638,182,456,138,023,376,319,
176,808,840,007,597,983,699,902,967,957,006,886,570,948,620,979,817,266,672,
298,876,133,736,143,328,934,779,472,449,630,315,231,439,841,827,692,606,403,
940,729,045,944,725,979,271,720,749,785,975,364,624,857,881,122,919,534,925,
370,707,523,283,685,596,097,597,855,129,364,059,283,867,264,898,602,200,250,
990,322,975,788,069,809,397,045,036,195,540,839,975,386,071,037,258,531,105,
898,533,236,803,672,248,576,395,823,635,277,913,357,735,631,947,733,932,433,
987,243,679,016,193,148,954,817,800,788,057,358,806,605,327,445,280,573,004,
285,252,622,069,823,297,805,828,542,830,722,669,398,377,694,166,621,582,842,
124,406,753,798,735,385,303,896,471,329,069,032,449,289,136,687,038,072,628,
400,683,441,815,500,344,693,645,027,294,993,321,919,686,498,903,530,467,330,
016,659,423,017,983,148,293,554,629,918,336,995,987,465,887,656,244,970,629,
623,766,935,132,209,230,496,762,905,889,643,101,259,575,728,308,498,561,466,
243,629,626,651,786,561,512,603,292,180,778,100,281,578,173,954,447,087,852,
839,322,157,469,873,824,306,881,006,001,879,746,938,205,146,654,425,275,662,
277,384,024,286,069,021,674,774,951,592,644,867,603,668,331,501,213,727,708,
257,748,262,702,421,891,901,353,937,675,398,101,633,905,637,802,008,206,058,
574,783,660,585,005,994,460,245,437,911,360,500,646,359,912,050,846,192,967,
647,855,533,821,155,932,695,630,378,613,660,505,440,169,456,039,729,990,215,
544,401,412,721,291,023,294,502,432,526,546,408,115,947,284,204,138,398,879,
805,017,133,974,689,877,495,125,901,869,680,202,241,800,567,921,310,385,648,
628,708,429,377,229,397,868,778,197,465,746,260,703,186,265,266,506,097,645,
253,828,521,536,910,793,742,193,427,330,405,103,116,974,494,116,220,474,123,
729,485,083,346,629,272,924,830,447,256,585,692,993,739,640,783,169,303,550,
106,099,659,114,379,170,504,170,881,155,475,228,923,640,604,606,874,591,093,
374,455,088,015,701,987,305,239,304,447,673,038,721,379,693,896,899,031,104,
144,842,172,550,520,588,239,553,229,957,531,160,652,056,368,864,095,207,090,
705,493,296,673,782,979,322,465,352,897,815,775,165,498,134,365,110,031,886,
916,699,537,688,102,545,734,938,331,986,120,032,656,463,721,946,660,603,362,
289,920,911,353,131,699,336,481,708,033,248,671,315,012,466,998,536,655,647,
954,107,800,665,738,646,211,006,903,791,367,526,431,699,817,096,217,313,306,
010,416,150,630,250,779,646,651,121,991,221,812,612,360,799,176,485,837,534,
699,313,095,866,918,439,286,079,190,670,404,961,153,228,922,638,535,098,562,
759,554,833,070,781,505,812,089,122,809,708,014,355,989,159,204,063,015,634,
779,899,728,637,664,468,076,250,464,399,161,669,886,693,540,457,269,382,512,
552,312,985,647,540,722,135,500,711,263,842,813,284,898,596,105,312,344,791,
977,419,304,182,155,147,370,470,300,179,557,958,740,023,396,453,469,231,092,
144,244,761,525,206,503,713,106,389,889,998,991,802,008,298,517,865,060,741,
063,408,449,691,468,333,394,736,830,920,682,385,585,777,361,522,324,748,440,
499,471,526,464,036,584,555,746,560,118,807,973,781,256,755,726,816,789,453,
498,426,041,531,801,738,469,730,795,116,428,936,594,558,653,024,328,177,420,
760,145,838,429,340,644,350,918,593,589,752,550,969,393,298,698,157,215,782,
615,762,667,385,837,333,237,970,172,470,084,676,451,426,076,276,758,729,504,
280,199,087,635,697,149,249,546,787,933,204,681,061,081,467,273,570,718,965,
064,753,323,225,193,942,870,150,896,721,504,404,608,091,212,114,422,043,997,
723,082,273,332,500,350,253,104,899,384,107,302,129,687,579,047,543,326,487,
128,392,591,667,820,143,303,506,374,366,191,706,505,689,673,774,805,483,084,
736,836,840,772,362,941,235,379,304,616,616,217,936,294,362,555,009,201,472,
975,830,551,957,613,099,398,825,738,438,011,670,153,652,274,833,548,488,261,
025,516,240,279,716,013,179,503,187,446,411,822,764,515,829,539,612,436,021,
483,252,270,176,468,618,996,109,996,280,025,841,749,810,709,075,033,009,706,
009,971,224,646,395,464,799,948,592,931,617,147,239,595,825,070,154,393,236,
437,978,037,783,651,524,143,111,185,556,999,035,724,783,846,021,559,060,534,
883,829,535,989,612,548,343,645,296,843,863,678,823,939,152,413,251,612,215,
906,170,966,345,771,371,843,098,379,913,250,610,888,760,735,364,094,062,957,
839,722,667,783,503,568,522,906,507,854,325,531,886,740,007,403,039,481,327,
639,629,907,364,535,393,057,340,993,870,736,471,024,468,502,996,186,841,872,
863,578,365,157,466,181,380,494,537,195,349,940,843,754,447,782,599,547,461,
389,280,702,121,213,685,933,130,276,188,631,591,155,796,349,564,689,498,275,
422,321,049,981,946,965,162,393,034,321,092,359,014,891,726,963,578,776,539,
012,313,692,167,867,752,664,939,758,058,795,926,663,796,370,532,927,791,548,
932,336,723,298,533,444,116,218,307,413,813,711,370,835,537,375,476,914,550,
445,465,486,962,437,470,037,650,782,328,499,393,705,620,908,616,446,237,422,
058,460,893,864,973,388,885,430,964,797,808,973,286,195,091,711,811,622,925,
734,738,269,410,110,339,957,582,630,101,776,221,732,167,095,278,716,965,406,
054,666,175,010,462,787,468,583,391,615,822,603,907,031,623,445,367,533,493,
237,939,646,841,327,153,496,869,964,674,232,350,098,843,155,184,433,162,866,
784,338,158,834,108,400,198,291,238,563,647,741,212,014,297,804,477,838,332,
940,617,830,880,254,975,971,720,812,374,120,733,924,616,706,843,770,071,702,
626,910,584,498,183,941,030,628,108,539,201,570,624,466,808,974,972,155,967,
870,676,469,522,273,504,358,490,100,250,276,005,244,937,708,171,470,116,937,
042,163,723,272,029,918,843,337,262,761,410,369,028,815,474,489,016,143,677,
080,598,749,568,135,017,147,218,788,288,327,846,732,044,025,558,372,346,469,
713,409,703,111,464,795,263,148,758,924,987,409,385,258,509,977,671,813,603,
692,455,764,202,939,184,344,916,051,326,208,184,677,190,261,729,492,214,804,
064,099,934,063,850,678,371,182,022,055,088,054,646,965,629,297,768,685,146,
157,021,698,894,091,695,328,574,728,643,010,848,394,783,083,071,999,641,511,
411,414,421,043,235,337,135,265,830,617,335,717,219,207,947,706,851,424,203,
015,695,843,820,043,617,064,352,340,651,526,867,666,031,365,692,890,445,351,
159,214,526,270,125,581,464,971,313,836,972,768,746,909,990,257,817,989,639,
960,438,446,215,241,975,527,009,825,010,542,520,772,109,267,218,030,637,039,
598,615,693,988,944,780,815,977,603,526,813,029,793,291,223,390,354,672,718,
471,099,235,784,978,001,598,765,086,211,261,220,015,768,107,113,013,962,045,
613,657,109,730,134,568,855,512,711,728,301,699,690,953,225,322,792,863,340,
353,723,098,365,605,068,462,624,408,781,412,760,573,938,034,453,761,079,641,
916,869,908,872,738,178,850,305,464,910,821,413,115,277,094,629,729,708,035,
487,867,935,995,135,587,410,247,011,235,362,677,204,846,048,356,059,154,909,
127,527,821,728,906,924,250,848,441,060,353,563,048,470,874,627,063,999,956,
483,293,138,292,395,062,308,001,394,386,617,099,034,541,634,147,968,945,053,
718,720,151,656,096,682,811,747,865,878,535,504,141,682,637,269,269,096,717,
015,523,026,458,100,451,412,818,990,302,886,881,072,349,707,908,555,732,106,
267,355,006,295,480,411,428,915,571,101,319,645,437,887,940,156,254,153,342,
459,018,863,141,782,819,584,065,111,282,192,154,404,167,935,521,225,957,135,
986,184,408,167,934,428,317,332,771,009,918,062,308,831,065,512,512,504,328,
209,335,359,716,358,026,146,125,850,444,443,798,802,602,316,176,000,790,738,
809,050,151,634,335,156,347,856,199,761,912,421,915,508,551,371,839,356,190,
808,570,526,043,346,307,294,898,701,093,003,536,394,173,998,907,808,653,578,
726,578,978,845,765,996,753,572,580,245,512,709,454,492,272,207,629,776,114,
310,983,511,452,379,176,766,667,853,756,239,277,659,911,178,296,823,834,567,
066,665,923,358,175,779,112,154,894,059,291,771,908,086,024,976,223,385,859,
034,675,444,299,903,230,616,094,931,944,791,163,749,793,256,792,204,291,737,
803,430,953,758,286,757,629,571,659,936,365,516,254,158,817,283,656,771,434,
434,987,894,491,437,337,812,808,815,521,810,953,617,620,212,852,868,838,111,
330,364,443,696,400,700,096,241,777,924,927,055,893,185,209,170,391,039,383,
109,404,854,516,728,167,499,245,200,741,165,967,285,869,947,478,239,247,868,
691,672,727,622,820,800,619,007,983,037,836,788,678,690,551,110,671,669,109,
347,967,768,713,063,785,245,882,232,764,450,128,652,677,224,349,699,744,980,
407,124,163,894,403,049,012,265,798,759,266,190,515,772,704,611,946,547,000,
819,941,209,053,561,328,987,902,651,771,894,835,253,597,211,514,612,577,740,
317,086,344,604,891,216,119,870,782,329,131,167,490,792,964,572,320,471,990,
990,381,098,563,913,279,388,997,029,155,625,370,473,613,044,596,127,464,712,
295,668,221,689,739,073,810,025,951,862,487,644,845,202,103,240,756,451,578,
173,739,066,959,446,008,586,039,799,144,838,665,233,769,955,714,451,273,345,
259,305,743,197,766,076,994,587,309,657,329,461,420,797,995,351,801,295,962,
905,035,731,923,671,065,520,282,772,247,963,943,680,539,321,987,369,092,556,
878,945,189,313,813,069,224,860,558,509,913,112,067,900,636,564,950,373,683,
756,973,578,961,282,241,960,224,047,401,976,715,829,149,993,744,773,201,326,
068,922,928,865,707,122,180,618,566,422,483,762,651,007,761,700,222,815,935,
676,304,161,277,802,679,689,706,611,313,951,702,161,718,207,062,357,025,103,
099,594,631,458,054,753,731,813,851,839,657,831,643,603,585,948,128,107,921,
931,917,077,088,736,438,046,124,313,725,138,559,457,226,662,904,463,604,022,
088,565,278,276,392,519,097,434,122,259,227,122,551,105,240,868,755,592,409,
735,852,632,951,686,374,336,627,891,956,100,902,704,328,004,371,835,242,640,
744,071,070,889,968,322,132,790,894,720,673,575,894,444,532,284,294,939,802,
781,950,426,676,774,113,538,765,638,425,962,631,371,728,390,258,544,459,531,
220,923,827,099,600,280,585,266,008,942,134,894,298,642,028,021,031,784,945,
661,884,236,114,033,054,334,890,133,264,847,799,042,395,806,689,590,505,847,
311,103,302,513,703,220,986,760,696,091,466,023,518,807,421,467,107,462,601,
948,898,584,228,469,725,014,375,041,044,054,996,865,585,318,257,938,542,722,
712,879,013,708,881,756,233,392,857,494,218,950,355,516,348,364,259,038,084,
416,610,812,332,632,810,346,631,076,358,653,848,351,065,431,255,082,792,377,
948,569,160,980,383,552,589,100,961,148,433,307,843,791,641,429,589,247,876,
111,749,318,625,997,878,355,784,075,887,656,585,372,292,891,710,405,598,958,
813,584,696,928,117,470,143,338,059,343,539,203,350,379,874,714,032,275,460,
943,545,257,030,746,168,821,067,861,654,388,233,441,809,029,805,249,795,579,
471,285,455,964,793,288,554,997,784,869,569,002,295,713,695,217,923,164,022,
491,225,264,114,662,743,829,277,198,768,585,272,331,453,098,182,498,545,897,
016,713,981,076,988,694,134,500,893,350,508,910,100,948,590,330,999,160,830,
457,752,978,012,935,006,087,428,108,879,354,845,370,059,445,727,683,311,390,
343,650,733,252,391,381,676,931,181,834,150,429,183,497,826,798,457,815,686,
308,612,191,215,383,311,472,536,375,163,738,310,133,243,135,943,370,100,559,
776,018,439,490,970,842,598,709,539,972,609,569,736,262,178,290,561,613,326,
832,212,801,779,872,007,469,104,428,862,262,773,806,148,823,561,892,584,253,
287,697,263,042,982,376,784,881,999,359,997,932,658,888,025,946,937,517,610,
074,985,406,114,314,699,998,106,258,594,565,376,116,381,586,581,855,845,686,
430,417,309,420,475,350,568,852,071,696,757,316,263,079,681,053,809,062,553,
124,311,279,490,539,950,149,488,062,004,960,542,356,948,598,060,101,885,360,
345,992,651,686,848,999,161,852,133,721,781,891,876,964,390,498,944,167,597,
351,815,277,002,705,965,721,013,201,701,801,985,669,239,816,415,564,293,400,
007,446,505,829,934,466,167,225,641,656,030,405,408,198,858,034,530,193,887,
420,644,675,170,096,783,849,341,912,301,459,803,417,198,798,042,349,271,003,
541,227,749,600,660,935,302,205,514,502,291,123,788,569,119,494,593,622,985,
512,013,449,311,053,357,621,981,552,198,158,062,034,121,878,136,624,518,708,
017,103,087,476,384,922,542,781,316,095,624,189,661,111,557,755,567,964,590,
249,792,901,951,105,396,866,678,534,992,922,651,044,645,814,760,874,195,677,
874,069,400,835,253,950,443,998,192,833,654,131,424,792,180,328,630,045,982,
173,931,262,447,049,240,411,622,976,911,478,389,644,329,010,720,363,703,897,
811,724,728,186,360,628,258,022,813,001,867,042,476,210,472,927,241,478,271,
218,516,393,357,573,391,062,531,653,473,902,632,669,734,111,446,656,669,806,
357,549,110,699,082,955,161,997,218,447,683,794,591,695,047,096,679,450,437,
713,985,760,527,126,800,427,386,062,822,577,505,083,777,289,201,928,953,978,
206,323,471,249,067,010,733,901,646,981,758,450,516,037,842,895,949,377,824,
314,454,373,271,311,525,550,114,141,901,156,631,411,813,998,921,151,647,745,
287,815,576,537,688,416,136,782,177,980,620,441,014,015,773,297,142,490,091,
932,055,451,613,823,944,895,200,647,219,061,968,977,091,114,933,829,708,055,
073,319,146,361,757,897,728,923,498,538,391,138,704,781,515,475,457,907,023,
293,680,678,912,491,204,315,267,771,436,487,085,450,264,115,131,636,250,226,
600,623,023,618,015,740,428,738,308,871,696,973,179,613,064,805,733,356,997,
259,808,707,177,415,881,238,553,733,978,017,922,850,556,781,543,910,133,891,
023,385,434,570,630,818,898,433,528,482,363,698,588,347,040,192,603,830,593,
423,873,329,194,065,503,019,598,216,816,116,109,475,186,809,437,714,317,423,
157,658,371,717,729,213,894,416,043,365,687,388,244,284,425,951,579,906,070,
910,229,347,334,576,954,909,247,779,636,669,442,730,895,160,538,756,945,994,
965,845,220,359,243,384,905,356,136,232,198,887,564,556,793,445,982,602,485,
913,531,267,001,948,563,941,821,619,512,690,795,731,316,285,786,834,457,903,
971,370,744,296,702,122,299,412,290,512,888,787,422,122,476,268,603,116,869,
088,312,728,496,271,032,727,041,193,260,696,769,606,736,942,628,756,203,051,
213,351,181,623,879,847,664,447,219,252,827,872,660,578,290,942,060,589,489,
850,986,679,373,670,713,915,545,621,888,763,594,316,080,080,988,224,732,460,
703,199,284,939,911,403,048,334,737,396,002,326,799,211,815,187,579,572,087,
457,311,761,135,370,752,860,882,045,283,308,268,172,421,492,488,622,843,006,
144,138,392,287,673,708,283,918,184,718,227,933,968,963,051,924,284,832,624,
049,918,998,625,299,552,436,977,561,414,682,316,489,238,586,865,883,640,213,
178,389,126,793,394,740,615,116,624,688,513,153,704,817,433,918,322,463,584,
117,386,668,434,386,243,650,658,248,997,120,988,512,255,422,336,874,228,509,
110,839,760,401,989,645,064,836,999,736,729,442,730,384,484,005,856,649,716,
164,918,838,421,925,039,952,180,545,200,197,761,822,800,360,139,925,030,002,
235,875,793,413,724,354,930,949,174,039,633,471,680,714,052,981,755,149,085,
500,218,092,698,866,610,444,313,378,096,242,364,787,789,188,290,093,848,454,
912,864,656,289,329,667,408,801,737,969,607,617,562,734,297,700,904,034,854,
096,049,234,702,986,707,448,557,079,083,620,421,317,836,789,699,027,770,364,
536,446,520,659,183,383,848,702,222,947,885,972,649,537,523,297,466,174,342,
513,254,661,506,624,936,535,120,269,014,932,418,146,792,197,483,478,614,973,
238,699,739,965,716,566,296,928,296,602,452,472,295,574,883,114,989,217,138,
197,527,787,910,406,952,699,650,153,600,259,360,950,105,601,718,191,391,853,
054,457,928,040,878,094,397,791,395,011,046,134,187,328,891,660,522,979,123,
217,893,297,067,612,439,696,782,770,605,490,991,018,750,155,367,033,578,105,
556,047,044,650,827,348,162,305,238,080,118,995,043,499,840,751,230,467,299,
228,006,412,022,450,988,090,022,677,514,058,411,436,726,149,172,702,867,147,
875,514,650,575,688,526,012,716,049,942,872,005,704,929,767,245,206,742,108,
065,567,747,525,233,666,024,240,637,124,475,789,168,843,325,239,380,764,712,
250,549,919,105,379,425,901,452,856,291,734,193,951,366,401,904,349,749,791,
053,029,858,230,573,850,067,601,510,864,590,762,540,832,807,196,147,465,065,
321,213,489,281,926,744,643,339,300,260,723,406,507,985,594,541,197,616,763,
729,264,284,375,854,068,693,907,437,531,920,767,285,927,053,189,812,350,515,
138,603,887,260,621,999,046,440,897,655,683,938,806,325,356,979,220,936,956,
346,284,195,851,518,506,278,371,876,730,880,465,865,948,517,831,460,378,737,
103,101,082,929,149,864,353,954,215,005,826,882,764,237,031,510,154,442,632,
315,005,599,224,534,557,542,873,382,854,357,270,245,236,321,661,634,587,160,
765,450,315,092,667,466,333,503,857,281,119,318,632,980,338,741,163,192,635,
045,491,834,521,019,034,173,633,956,279,232,971,378,451,665,859,054,832,522,
335,030,706,617,357,484,351,669,724,466,119,647,225,174,663,023,181,115,012,
373,706,755,799,641,662,481,595,227,842,326,358,293,444,578,232,334,873,042,
131,343,745,105,254,544,128,998,013,191,312,317,967,341,041,797,741,301,035,
328,757,973,768,408,412,223,282,774,585,304,919,118,712,002,270,245,529,915,
417,757,853,409,597,929,449,419,054,864,578,612,867,772,012,826,375,558,751,
707,824,084,872,873,676,135,830,249,907,607,923,360,676,361,515,014,589,318,
705,433,669,481,100,618,965,870,537,979,453,526,065,764,744,434,130,629,041,
307,963,361,539,117,429,693,035,812,733,553,684,390,275,100,626,728,911,478,
165,417,969,922,637,484,788,665,059,936,327,553,351,345,497,510,826,695,624,
756,167,690,756,610,601,703,687,851,774,105,023,692,450,809,581,275,939,896,
542,019,188,979,826,702,086,914,767,737,433,542,122,403,445,265,010,791,523,
103,832,653,244,719,659,910,751,100,029,035,794,973,992,366,432,243,479,920,
851,405,648,357,479,634,934,260,793,018,139,949,273,717,208,646,224,561,143,
659,678,378,393,325,696,687,029,835,956,368,485,189,225,045,683,676,950,315,
149,054,363,443,277,700,692,108,008,722,616,811,431,359,694,059,219,982,712,
966,921,065,631,833,157,771,860,220,852,064,536,857,614,184,888,530,059,827,
422,467,651,686,810,768,739,846,535,128,405,110,958,850,777,685,001,742,640,
257,167,396,867,110,377,707,717,714,213,509,292,435,579,633,717,110,993,360,
535,048,817,845,423,528,228,785,299,246,547,177,682,620,143,597,652,667,275,
303,149,269,734,482,995,983,410,576,494,203,318,185,565,890,721,157,986,763,
816,791,595,648,943,310,604,389,084,514,953,758,857,974,979,784,768,275,474,
120,724,392,335,394,882,182,090,517,031,757,428,458,181,659,564,844,870,299,
569,500,739,845,566,316,284,919,108,961,193,150,245,880,944,890,678,847,534,
764,605,371,039,596,324,572,668,694,477,786,638,029,949,561,765,180,317,156,
151,849,234,121,525,615,363,001,096,799,676,346,393,313,368,199,009,078,990,
673,960,080,628,756,693,004,415,774,785,951,274,468,028,371,518,837,467,179,
640,555,404,509,262,179,073,744,293,787,342,678,918,601,604,365,691,625,995,
214,783,584,812,256,460,562,360,562,945,256,564,870,972,964,588,378,352,809,
333,605,841,602,605,305,012,431,663,782,313,905,728,807,411,319,189,558,067,
110,885,314,676,597,721,617,976,073,037,762,137,520,295,285,541,905,570,706,
067,372,147,997,667,798,826,275,929,509,612,272,016,037,713,820,100,039,440,
363,188,043,293,977,090,497,402,431,747,198,376,845,685,831,800,282,617,379,
562,850,266,930,005,850,676,388,012,596,618,355,736,692,201,436,558,602,466,
336,223,349,460,252,197,578,822,836,127,070,514,065,642,222,401,287,324,847,
868,830,490,599,041,206,250,374,492,653,996,948,529,143,200,498,386,145,341,
955,655,047,887,636,689,921,433,308,892,864,259,669,472,645,248,706,745,221,
358,736,547,509,980,323,300,615,751,584,207,934,079,075,286,470,403,797,885,
773,651,713,678,761,171,500,241,596,317,207,957,866,128,646,817,044,934,166,
571,532,655,415,018,362,224,930,185,713,874,252,329,166,726,968,831,436,649,
831,064,327,762,613,432,733,787,291,023,137,085,774,296,260,750,301,522,157,
039,287,690,420,594,743,049,318,268,551,272,499,463,143,980,774,870,539,703,
151,387,537,683,902,077,749,537,352,794,355,605,658,820,787,491,860,473,423,
521,970,687,390,244,397,833,515,629,929,251,629,498,769,863,507,131,904,552,
713,900,014,873,204,139,739,285,334,365,207,817,590,535,037,938,835,704,173,
961,922,917,209,500,137,433,743,538,355,697,602,648,331,956,675,910,305,069,
932,806,265,832,021,929,435,066,394,891,737,162,783,455,720,297,215,579,535,
029,459,818,149,662,893,124,061,837,705,670,075,825,895,977,307,629,701,751,
632,498,164,342,554,908,706,574,511,124,666,127,290,657,688,361,290,235,155,
691,860,011,974,873,492,971,094,640,222,731,936,886,318,907,700,319,265,183,
981,657,073,099,694,050,695,012,178,103,985,623,471,845,208,421,934,189,617,
539,037,850,278,712,576,124,760,554,365,374,203,885,006,465,054,999,846,416,
138,364,164,218,417,153,754,765,772,742,483,432,177,974,439,050,028,197,968,
099,124,495,970,519,754,157,822,946,227,126,080,205,766,261,251,982,284,465,
036,441,847,224,213,211,563,762,475,616,631,495,460,938,040,625,162,113,187,
409,978,664,540,620,786,450,686,099,641,287,735,841,171,697,130,692,958,681,
136,158,860,921,995,314,442,325,877,159,122,421,599,292,984,079,228,401,238,
916,279,600,887,300,535,199,693,842,444,328,013,003,053,936,850,711,740,354,
807,034,710,786,092,418,333,842,289,881,793,246,949,267,546,951,325,843,319,
129,493,795,852,620,963,588,330,303,878,319,317,622,775,534,008,628,379,961,
042,731,057,125,540,600,214,617,077,220,045,966,720,802,005,577,783,432,608,
410,341,213,280,272,435,680,360,025,689,383,056,536,355,571,521,942,189,397,
048,406,796,298,926,811,579,687,468,418,703,732,510,167,665,886,535,434,030,
606,738,322,435,988,859,115,216,319,114,210,563,853,439,375,953,925,211,580,
094,482,615,678,701,016,996,416,264,017,369,361,396,921,462,132,633,032,311,
883,042,371,955,155,742,309,355,738,440,610,911,561,471,966,142,355,404,085,
581,326,571,144,904,852,196,137,911,500,736,698,791,463,170,680,485,008,660,
210,065,197,985,509,173,498,504,483,642,080,814,546,360,941,331,484,146,836,
199,317,284,589,032,113,390,523,734,552,834,434,942,535,577,733,356,443,267,
838,159,734,499,369,480,825,428,534,592,932,890,881,532,643,395,123,930,043,
367,515,321,891,580,907,459,489,904,035,322,391,598,187,367,599,975,061,297,
389,595,274,761,626,638,084,339,810,825,274,322,587,062,107,403,369,775,329,
311,046,458,641,821,487,318,147,579,024,834,926,415,152,376,398,257,423,606,
902,704,107,405,719,385,301,149,220,107,378,517,815,961,611,416,779,474,598,
164,861,862,270,012,906,271,425,124,243,579,461,237,744,762,242,387,592,431,
100,660,773,001,807,592,223,002,294,948,317,054,936,955,796,709,042,465,858,
735,245,722,343,184,194,212,028,034,294,446,009,909,318,487,139,573,067,300,
264,172,169,450,362,290,653,976,331,564,487,987,459,093,552,137,213,314,754,
185,850,466,043,823,926,428,235,230,443,291,301,140,753,143,601,518,814,031,
011,684,797,148,226,794,400,126,335,062,848,427,238,269,801,653,751,226,514,
692,174,758,292,708,602,963,663,865,624,249,272,838,745,715,714,927,155,753,
487,036,063,126,444,773,192,954,235,854,919,172,728,490,258,482,875,597,233,
638,379,392,140,267,321,706,194,172,904,118,371,038,427,536,772,476,986,973,
764,195,856,928,217,316,981,662,673,217,736,076,279,807,417,602,934,350,765,
781,112,360,252,064,030,480,759,420,410,641,228,957,972,812,652,336,249,830,
363,500,558,276,605,000,986,865,795,877,297,067,133,942,962,078,594,756,264,
188,426,484,648,217,583,207,275,505,146,550,756,877,939,514,489,370,829,137,
033,448,471,188,510,722,785,124,870,634,627,594,086,705,333,970,484,500,501,
016,434,095,707,932,614,822,064,892,184,809,480,704,618,501,524,808,127,093,
714,899,322,174,810,830,847,353,522,314,328,550,529,882,911,733,472,320,140,
935,167,116,812,083,657,982,012,857,132,194,862,539,663,864,428,770,133,828,
148,222,904,762,954,515,887,396,866,362,805,724,682,068,020,801,426,409,857,
570,172,384,133,894,993,112,605,372,916,941,605,610,229,283,026,548,718,166,
573,289,865,600,535,102,654,091,742,276,120,339,476,757,707,502,179,723,417,
088,180,335,628,779,511,589,799,826,931,981,387,147,155,300,281,600,786,884,
681,765,618,920,233,079,984,565,661,597,594,361,899,113,968,942,073,111,962,
683,325,732,256,862,464,934,040,293,522,800,895,728,044,782,634,336,312,607,
383,079,185,146,396,668,806,245,094,516,982,908,557,195,569,626,933,451,579,
978,996,504,224,332,316,558,423,380,011,256,322,522,615,446,571,073,345,012,
506,817,369,692,896,462,420,513,264,067,020,697,719,652,244,567,133,019,211,
082,208,988,023,296,579,372,974,499,578,400,551,433,310,660,495,587,117,084,
036,044,077,473,095,620,788,989,104,470,420,020,916,154,115,196,895,132,060,
133,618,128,465,857,344,176,845,668,159,888,096,995,415,886,776,945,622,796,
997,719,329,040,317,526,796,640,009,053,642,195,372,240,769,332,892,752,285,
566,587,122,408,956,465,766,853,600,458,028,204,005,468,593,241,173,439,451,
232,730,611,821,461,548,309,102,813,399,021,655,885,301,352,585,026,858,541,
199,885,051,957,734,513,997,023,050,000,674,846,994,580,990,509,926,744,593,
808,556,364,396,671,796,831,600,483,430,580,794,260,442,237,259,707,256,934,
986,072,620,598,872,066,754,766,377,255,762,810,167,145,063,522,445,759,572,
686,019,709,408,932,585,446,075,231,632,514,565,844,841,461,465,336,928,341,
877,747,973,845,751,607,321,797,792,635,185,118,295,011,505,697,162,003,973,
104,832,529,257,307,886,882,051,910,065,841,993,783,454,101,350,939,297,667,
454,244,669,023,626,430,708,141,186,756,979,156,116,782,617,041,178,821,183,
163,935,051,239,931,803,022,327,520,132,269,120,649,000,131,565,835,375,734,
562,998,390,903,112,114,496,884,314,098,476,130,931,441,480,435,333,727,853,
126,133,542,688,920,885,447,883,054,891,341,509,447,218,757,363,687,789,301,
058,781,396,939,085,427,893,473,248,490,849,606,426,021,154,513,118,851,595,
404,367,689,600,168,473,392,512,864,949,552,257,813,011,583,771,449,432,735,
672,778,419,155,408,499,564,293,704,866,422,164,339,175,095,800,703,850,663,
636,693,080,998,093,143,003,563,652,411,323,219,704,810,361,453,591,585,257,
511,810,448,805,855,168,282,092,441,773,172,050,623,959,774,741,720,824,792,
852,346,270,830,346,919,600,702,577,972,091,495,305,623,357,795,823,273,219,
736,358,184,693,493,244,658,255,445,548,237,719,035,712,977,879,181,616,814,
463,877,361,673,938,937,215,582,075,987,393,896,833,594,776,214,237,050,919,
474,896,051,348,978,002,451,955,336,605,491,479,380,049,981,797,062,931,807,
248,345,496,187,239,540,027,650,755,331,551,328,360,889,958,322,796,507,688,
026,637,741,477,362,763,307,148,678,181,984,427,551,407,736,904,543,024,196,
713,082,236,217,867,565,259,408,411,818,610,315,733,075,716,370,137,699,929,
139,628,121,213,600,848,408,424,718,844,971,731,592,070,646,688,925,417,156,
199,163,781,034,900,709,565,577,390,581,375,685,755,133,820,003,253,143,262,
531,346,183,942,158,051,939,706,226,974,392,842,667,032,443,133,378,095,360,
909,963,915,847,300,981,595,724,334,693,059,641,306,585,074,308,344,657,147,
269,248,894,937,494,891,212,982,876,120,680,501,757,013,609,005,148,424,241,
369,596,474,684,334,000,587,944,065,846,375,728,030,909,659,654,970,211,616,
008,659,167,923,704,051,356,879,824,390,632,129,986,908,188,969,235,738,103,
608,575,770,574,106,469,696,615,824,588,032,053,303,371,158,328,550,245,100,
027,839,801,950,243,224,828,492,785,026,510,320,270,916,658,845,054,707,126,
843,463,154,215,003,617,518,797,734,964,836,687,226,471,243,144,645,428,444,
669,239,894,425,215,749,023,331,201,749,839,117,651,240,288,607,850,071,635,
755,377,016,036,820,483,748,141,357,959,307,253,695,283,279,664,355,516,318,
807,817,393,462,333,316,825,977,206,893,956,242,573,119,476,090,107,308,418,
286,263,246,728,144,510,858,502,870,074,530,855,224,720,306,580,782,722,493,
415,128,952,966,959,099,469,697,538,499,791,992,295,738,617,231,322,516,227,
897,957,209,239,160,093,659,377,429,926,646,387,790,945,424,248,884,108,048,
754,509,361,214,938,663,315,240,491,590,313,665,567,146,013,706,298,865,595,
057,580,402,921,765,275,878,165,793,502,748,303,562,809,762,496,558,153,529,
078,323,053,303,112,238,868,425,709,717,848,875,562,556,033,189,988,051,292,
971,929,699,725,944,781,416,008,231,381,520,599,587,537,759,900,654,918,471,
148,768,284,842,949,021,532,458,718,036,562,883,118,891,921,154,076,600,971,
876,260,224,742,998,006,950,109,698,205,861,710,550,572,335,222,552,554,840,
654,641,920,553,712,709,501,158,121,435,344,219,199,850,819,438,741,805,556,
030,826,378,285,391,585,264,991,546,311,934,806,492,982,886,028,553,071,619,
748,328,488,520,511,399,017,601,118,067,711,373,989,011,732,968,705,550,901,
439,417,744,512,810,282,726,488,320,253,148,103,427,260,546,235,119,902,940,
521,663,041,934,478,730,980,975,413,353,117,198,261,799,409,814,950,380,686,
678,655,315,110,706,966,964,195,432,832,901,296,185,636,263,551,628,386,190,
315,503,476,223,637,864,356,333,946,231,312,524,896,463,404,714,827,739,771,
849,363,364,063,558,101,144,052,060,779,589,840,891,458,011,456,269,351,578,
990,059,243,181,751,937,003,317,313,893,979,303,787,503,869,486,292,000,404,
065,820,290,706,123,689,509,067,489,916,237,259,671,330,204,218,441,315,856,
053,254,675,080,450,311,111,502,314,731,405,499,298,866,388,931,085,562,180,
068,168,004,756,289,185,146,985,059,446,830,862,195,216,065,828,212,042,383,
582,694,389,472,920,046,836,471,878,228,836,645,549,330,132,547,979,490,572,
350,944,890,799,566,032,866,633,171,494,580,747,456,294,595,425,921,980,503,
409,337,116,158,565,247,790,957,318,216,423,238,184,382,686,423,782,106,153,
524,642,977,655,589,326,579,280,008,427,228,425,187,526,780,018,648,956,683,
953,742,863,095,529,948,823,486,639,604,123,010,414,350,983,838,892,288,355,
585,305,636,848,296,137,552,942,102,527,154,587,627,034,050,601,263,371,515,
289,650,419,003,582,440,832,913,203,220,792,038,214,482,474,857,996,437,964,
820,702,502,970,772,603,182,926,911,782,840,690,743,423,544,081,663,870,871,
161,484,957,154,550,352,171,806,578,900,075,165,889,763,003,340,324,204,835,
455,139,342,136,213,072,201,060,615,313,008,836,823,202,246,407,852,328,087,
929,212,553,990,330,230,442,503,610,579,459,247,768,152,173,887,313,425,786,
513,780,210,300,963,811,335,628,458,763,956,728,614,839,198,135,459,914,630,
172,797,036,502,335,358,675,563,288,571,248,976,370,985,951,671,772,321,431,
531,365,852,999,341,809,101,845,737,420,004,779,314,160,493,864,972,474,137,
152,087,107,370,580,125,649,145,213,930,564,036,234,465,304,537,092,695,078,
206,895,306,969,568,897,148,979,648,825,889,508,260,444,315,535,977,866,777,
097,218,359,893,219,880,978,953,618,328,415,428,541,051,152,416,604,016,373,
412,803,523,275,647,013,207,770,705,387,874,756,622,182,166,946,303,728,514,
630,427,913,894,911,094,281,880,426,250,592,642,447,794,194,144,471,325,652,
753,666,959,771,307,680,981,379,025,226,342,342,813,596,971,325,173,242,444,
755,021,211,135,144,201,924,585,916,869,450,897,113,763,278,145,433,256,400,
422,326,200,393,587,704,968,256,895,738,276,743,576,269,333,551,901,625,777,
353,211,046,875,909,357,241,842,376,379,596,108,639,583,378,053,405,787,049,
850,978,471,569,658,490,105,452,879,024,725,801,613,740,908,709,338,950,101,
475,260,062,847,319,579,411,565,551,652,396,485,745,092,929,234,791,804,229,
208,390,028,182,865,725,969,815,030,224,993,245,506,284,900,379,641,701,159,
054,473,654,796,557,811,289,421,876,116,610,961,193,075,352,070,241,240,601,
472,219,878,772,879,005,698,942,334,167,127,533,594,420,454,697,499,499,547,
210,286,511,499,662,637,848,783,371,545,643,402,060,996,471,722,756,922,997,
679,349,445,392,783,044,062,341,283,442,598,732,956,287,164,262,556,919,731,
263,094,954,292,388,872,631,118,898,428,654,649,287,327,143,686,212,790,715,
390,568,747,994,932,336,713,408,769,401,521,017,806,108,468,672,853,309,329,
258,759,217,852,851,483,348,744,680,737,646,928,542,069,028,291,698,535,988,
436,161,711,539,526,672,999,395,882,104,500,473,071,086,676,388,642,646,718,
192,758,345,740,094,833,396,442,047,533,858,652,396,535,149,164,360,742,776,
061,754,326,783,858,334,877,673,446,476,241,028,525,703,811,828,888,614,397,
463,827,591,803,522,104,540,340,142,442,293,848,402,550,072,366,694,380,088,
750,776,711,317,778,449,202,871,511,177,938,363,959,699,556,802,723,283,213,
289,732,014,263,986,017,066,586,074,052,306,119,887,104,065,471,146,192,636,
765,404,169,399,339,108,690,543,223,191,998,428,061,127,624,695,704,868,176,
294,449,149,118,949,299,999,741,657,981,974,203,624,473,983,421,572,983,960,
408,673,685,958,646,233,460,906,528,239,551,625,291,335,918,137,804,523,051,
400,807,264,206,694,305,445,093,621,965,291,528,172,189,350,715,278,060,657,
386,238,802,966,656,175,895,719,289,580,278,977,447,198,794,195,883,557,858,
282,865,056,383,361,726,103,475,474,038,846,567,050,552,620,121,361,403,910,
983,517,908,921,916,160,517,527,814,415,015,367,868,549,525,226,747,963,288,
020,277,284,394,142,228,069,252,520,651,392,386,156,070,745,143,655,626,168,
998,947,284,423,646,746,787,050,540,385,948,397,501,754,626,216,056,549,876,
392,806,698,551,140,146,248,941,041,692,781,335,790,260,298,019,514,901,320,
050,397,659,820,670,832,588,007,511,931,096,698,667,933,486,912,954,710,687,
845,508,972,057,878,420,783,519,437,780,101,906,070,008,620,572,588,217,697,
988,276,471,716,304,957,056,263,674,898,353,391,389,039,433,803,859,801,971,
566,730,586,472,281,661,845,824,680,677,351,712,415,715,405,072,405,994,817,
603,877,663,030,242,843,893,264,148,331,428,418,529,340,883,003,415,431,663,
734,285,879,042,086,325,324,853,458,103,221,599,643,944,019,244,381,158,473,
311,489,197,471,781,720,938,470,778,670,119,419,899,193,640,094,766,937,364,
528,422,340,615,857,120,785,687,569,591,363,726,649,386,132,663,580,328,208,
682,700,765,522,608,232,027,131,081,313,693,325,693,091,880,128,870,122,546,
033,684,736,222,848,754,414,025,835,252,355,759,824,071,837,707,629,677,353,
659,681,426,108,148,724,895,536,128,321,847,378,519,637,461,042,236,961,059,
977,741,167,615,109,559,671,130,140,674,675,062,987,407,427,043,344,175,905,
176,918,350,060,092,187,907,674,593,852,974,656,833,124,560,780,284,055,547,
669,466,377,103,174,738,781,088,773,939,352,749,544,957,797,403,968,186,752,
299,730,960,994,449,787,409,901,822,909,647,382,458,164,761,223,486,064,370,
693,828,470,606,935,719,798,150,224,045,736,202,620,403,207,972,064,067,053,
153,845,912,463,346,831,100,079,539,495,852,164,560,681,477,077,109,564,754,
887,031,666,853,973,907,309,238,227,294,631,659,319,414,606,235,976,925,861,
470,813,309,438,551,455,300,849,274,528,958,634,782,798,635,778,044,157,603,
077,932,535,389,127,617,410,822,137,997,372,610,915,992,506,192,512,562,286,
139,586,208,596,970,673,110,567,483,181,574,945,200,557,508,670,137,901,177,
894,191,202,042,085,010,621,066,434,520,921,141,342,591,180,525,434,011,393,
944,366,120,066,574,426,965,120,488,223,739,204,135,740,825,955,390,693,004,
133,383,042,780,776,038,094,590,391,232,811,232,882,809,701,953,365,354,019,
664,715,245,283,939,159,660,012,492,181,736,288,800,747,118,332,545,273,583,
614,458,762,998,492,667,131,014,087,059,778,830,698,611,127,232,280,301,149,
347,488,110,867,968,289,584,759,106,095,263,194,231,861,595,853,722,159,498,
384,688,485,345,160,874,524,396,747,705,206,950,299,490,667,553,992,132,782,
935,859,173,870,140,894,945,286,899,981,890,153,502,850,733,534,527,929,648,
307,474,678,367,062,248,129,061,289,312,552,306,557,168,098,066,527,711,573,
505,357,204,832,228,442,973,744,610,147,553,950,436,213,568,612,128,625,468,
519,078,220,047,105,902,030,937,337,989,439,349,516,574,264,917,373,046,623,
028,422,286,739,470,595,333,739,006,549,279,588,927,815,078,080,938,298,285,
450,749,581,852,743,835,840,599,366,541,105,306,197,722,629,603,502,339,190,
088,559,602,299,673,782,863,740,759,377,354,485,095,034,265,914,210,713,151,
954,842,702,604,831,126,907,115,791,533,788,151,980,304,210,908,396,053,635,
152,904,873,538,336,581,932,960,558,381,524,286,051,438,827,578,225,291,209,
034,710,556,660,183,018,645,731,427,429,210,472,664,648,266,441,027,977,122,
738,943,589,901,859,942,793,274,159,247,401,435,621,658,552,119,807,315,373,
030,155,889,665,044,846,183,315,399,400,284,799,405,215,655,843,916,568,575,
680,600,725,364,368,227,640,679,578,258,416,047,730,733,667,686,910,041,620,
225,540,769,329,887,449,774,994,697,909,427,651,505,187,581,835,710,425,451,
166,584,021,883,572,850,260,251,124,157,846,551,741,356,719,910,689,144,178,
933,549,682,717,863,756,948,104,825,916,883,179,236,351,686,472,595,619,716,
781,769,117,340,486,457,932,248,953,849,681,642,580,046,745,765,305,139,676,
158,497,132,539,148,634,105,739,151,460,604,290,378,775,311,194,639,907,530,
185,711,607,173,401,780,684,850,758,029,088,534,432,010,362,447,309,897,325,
210,463,324,497,024,622,562,748,734,439,621,556,141,147,395,115,927,951,135,
320,044,445,650,283,297,989,875,172,603,901,415,981,760,835,563,270,141,026,
203,951,143,662,930,774,070,884,070,599,867,765,149,034,591,255,628,819,935,
819,989,430,828,774,085,558,346,419,839,859,919,934,862,530,969,406,236,687,
289,489,818,953,851,997,416,841,824,506,345,364,075,106,538,855,156,777,420,
766,182,107,636,272,040,895,242,208,339,232,314,907,222,586,215,435,536,584,
484,060,125,479,897,078,636,147,486,008,735,824,169,640,262,685,573,899,279,
260,944,263,175,497,173,846,975,069,861,881,048,737,926,530,473,690,769,455,
072,208,601,546,473,470,641,330,807,975,100,225,860,198,912,182,473,969,102,
804,880,214,420,061,147,823,830,483,543,479,483,341,660,484,400,085,692,009,
618,039,039,898,654,142,072,216,619,257,942,347,507,537,931,667,894,893,883,
275,646,081,739,022,424,208,690,550,375,619,668,198,068,812,100,523,526,782,
072,242,317,937,423,524,440,833,583,503,258,172,456,276,125,101,817,306,084,
883,280,602,105,265,292,674,394,197,154,781,147,151,527,810,012,497,895,830,
110,816,561,731,845,070,094,840,889,959,026,704,113,027,639,866,377,701,597,
876,696,859,919,676,999,593,706,509,314,804,690,790,064,192,322,909,393,390,
890,325,391,792,893,706,909,349,350,681,110,597,733,404,063,244,137,056,621,
337,421,252,765,190,574,216,384,185,242,981,352,579,980,277,079,656,004,432,
671,904,589,788,515,037,605,161,096,614,037,596,489,679,828,439,331,054,400,
076,711,606,389,570,851,588,993,184,223,512,384,225,367,909,258,660,857,719,
637,234,006,138,830,267,669,367,477,828,944,119,778,141,891,723,759,969,116,
713,550,344,278,970,104,246,148,659,476,316,254,732,425,029,016,353,070,230,
580,584,330,382,298,438,331,499,275,522,816,474,813,979,472,560,947,512,509,
250,457,761,070,447,971,612,837,987,122,893,126,766,401,716,066,328,140,012,
487,588,578,575,507,985,030,929,240,497,001,003,015,594,132,602,976,505,112,
703,990,258,077,059,771,423,325,866,658,671,581,513,740,585,103,980,917,972,
761,154,388,810,623,919,023,434,819,642,158,272,791,421,968,728,215,520,424,
805,887,293,495,521,045,507,583,938,092,496,296,008,087,772,948,227,793,196,
816,126,284,704,244,741,781,038,755,412,992,426,044,784,705,517,885,330,230,
574,495,033,458,261,791,011,409,894,531,987,071,768,300,466,611,468,249,914,
930,735,742,390,316,420,746,246,654,835,071,760,809,347,842,967,565,992,221,
865,871,073,375,235,156,200,213,391,644,838,178,434,942,957,764,415,266,049,
726,548,185,649,830,402,105,311,546,915,190,185,564,785,200,550,291,829,748,
026,993,465,324,665,430,105,644,539,115,283,211,592,727,648,810,986,897,200,
654,853,298,890,917,795,997,478,621,052,815,830,634,170,673,620,688,525,834,
535,783,669,293,212,325,756,820,161,434,422,564,206,495,144,844,401,609,342,
836,690,819,056,445,082,217,803,952,507,777,632,918,833,654,379,597,327,186,
663,445,255,151,861,108,591,681,778,209,252,767,361,663,043,511,997,233,940,
227,829,700,299,426,390,162,816,449,378,981,248,399,231,966,784,145,419,978,
472,116,535,048,322,528,130,141,482,503,290,315,459,716,123,543,866,449,302,
883,984,451,646,124,252,756,792,993,175,937,265,425,179,288,614,756,965,071,
167,796,919,084,613,125,217,903,380,545,787,181,502,464,825,652,323,068,407,
124,122,377,929,866,482,488,638,348,662,383,241,884,500,984,631,358,737,243,
790,121,180,798,895,720,720,296,984,280,563,029,244,926,915,934,693,092,796,
139,713,526,587,896,773,210,476,815,985,206,022,365,481,391,497,412,996,483,
894,308,044,150,103,486,367,118,707,836,826,579,449,059,253,470,529,263,110,
271,697,696,160,514,641,598,915,545,015,709,178,455,431,274,586,394,962,919,
375,585,235,214,575,747,289,064,376,513,522,410,742,369,552,936,489,269,342,
310,723,706,851,111,193,581,807,852,580,609,811,671,810,617,023,995,338,344,
008,858,682,497,127,761,592,734,536,494,584,223,475,995,404,094,215,546,321,
327,066,516,122,868,703,911,755,094,161,102,310,992,410,119,059,709,342,482,
509,710,607,510,631,331,766,574,551,298,250,953,651,425,625,132,556,959,064,
598,598,142,713,248,820,198,403,471,829,092,186,917,320,598,583,746,258,138,
187,075,901,299,444,893,218,476,096,295,602,498,327,590,836,686,263,925,225,
321,720,902,498,349,335,291,816,392,486,568,046,507,431,888,176,228,157,923,
190,586,341,224,356,840,983,034,354,744,874,939,794,411,859,918,006,391,227,
485,239,334,001,842,785,121,613,458,923,415,862,142,216,537,738,205,712,116,
300,390,113,002,895,979,309,495,778,710,599,040,646,550,271,455,904,617,118,
610,895,326,308,409,937,430,319,071,312,988,004,265,703,154,333,350,191,885,
666,947,328,250,526,928,047,611,901,419,604,147,738,187,296,163,584,401,257,
282,016,526,907,327,624,923,789,369,779,875,579,072,165,134,549,496,417,435,
890,368,173,107,566,670,858,140,795,338,652,454,797,378,929,649,069,911,808,
486,798,295,258,452,354,620,716,270,394,447,303,147,968,572,415,879,462,200,
937,733,799,689,319,021,833,730,367,774,808,092,595,939,605,661,542,800,485,
450,369,320,170,450,031,770,929,396,032,041,702,183,553,010,838,124,942,554,
750,523,836,298,363,334,790,225,094,874,753,119,096,833,330,064,279,475,325,
839,210,951,356,070,579,608,562,846,637,609,096,673,918,719,648,896,166,507,
800,652,636,527,683,427,314,956,290,805,181,157,418,463,250,586,173,129,535,
102,966,444,686,263,536,823,750,765,943,342,429,192,625,316,732,945,575,487,
837,975,155,655,202,129,318,724,526,776,057,920,333,685,835,882,468,685,224,
869,953,053,879,757,702,559,560,334,300,663,041,971,676,521,486,140,381,783,
888,377,933,535,962,281,574,961,293,906,997,873,814,138,269,738,554,485,608,
143,353,958,601,065,487,899,270,554,507,358,299,717,491,205,000,974,703,076,
376,420,784,835,502,711,948,173,374,415,559,904,051,778,291,416,493,135,451,
907,672,376,924,739,804,763,276,732,631,896,058,981,388,882,898,639,791,985,
289,815,567,722,778,496,627,104,442,873,258,119,862,470,238,457,016,244,607,
501,238,106,440,732,905,783,151,678,068,352,297,574,373,317,077,315,785,637,
384,082,731,899,643,437,286,942,882,508,971,701,156,736,644,929,528,059,426,
337,485,323,211,575,417,880,415,429,860,213,048,206,267,657,382,698,778,009,
288,321,303,269,967,439,564,056,356,439,174,114,744,949,820,979,835,077,467,
792,580,151,400,335,697,992,554,729,424,228,664,087,708,237,289,046,026,956,
918,428,862,039,659,314,992,221,751,522,017,008,183,329,959,827,086,567,616,
657,186,130,316,049,335,835,289,707,183,735,180,223,342,735,940,200,619,442,
435,051,682,814,027,465,090,667,863,105,287,232,079,503,163,144,334,980,919,
173,646,083,922,125,250,935,032,044,656,863,075,649,870,465,839,176,360,864,
853,129,605,222,527,330,159,388,983,586,631,017,252,117,805,033,295,311,627,
196,781,082,593,040,364,033,005,001,754,321,840,538,027,694,087,345,880,626,
511,061,568,704,340,752,346,391,624,825,190,556,628,758,094,986,236,046,860,
061,950,571,087,921,019,285,706,152,990,507,048,970,358,547,542,291,240,934,
324,776,959,813,799,606,106,706,544,190,108,053,153,227,787,897,024,978,781,
512,683,029,289,660,543,122,581,098,644,704,768,102,623,012,459,547,771,897,
622,732,559,434,879,860,093,294,549,656,380,406,225,557,108,086,106,003,743,
690,575,705,879,553,065,058,725,865,031,973,422,537,363,341,594,307,098,322,
718,403,641,946,990,348,046,908,974,314,705,858,408,648,024,447,580,464,691,
872,018,302,397,513,396,039,835,866,829,842,010,167,476,658,251,384,105,230,
279,616,438,009,999,739,596,614,593,723,600,029,530,265,914,042,286,629,417,
818,680,619,427,197,457,568,566,130,407,578,060,596,930,237,488,536,982,597,
433,609,375,560,789,130,216,375,896,951,764,364,843,418,925,277,541,620,389,
564,784,066,317,614,360,966,449,769,123,641,834,867,585,242,549,557,550,299,
320,171,450,478,260,430,657,989,048,592,478,860,285,721,230,507,159,992,393,
934,979,655,095,900,926,092,781,116,544,573,767,135,004,253,023,213,307,170,
925,337,575,922,625,544,843,197,071,297,160,239,962,971,016,026,062,553,385,
295,017,078,982,290,779,843,633,711,539,062,791,101,185,354,412,992,909,460,
234,565,639,491,876,643,047,017,482,991,166,655,107,930,984,326,340,954,699,
609,464,092,329,187,991,915,059,310,177,799,235,282,474,542,422,568,359,348,
074,539,551,740,141,625,603,983,410,396,823,975,633,161,750,546,969,476,961,
061,316,123,894,889,617,482,733,235,286,090,553,876,862,163,476,433,298,147,
849,598,198,578,578,220,364,807,917,284,762,546,900,896,587,920,601,284,842,
724,586,549,862,751,143,500,273,125,820,812,290,897,427,665,540,617,668,383,
014,661,648,443,116,448,595,431,480,474,835,340,087,822,543,792,425,640,554,
721,586,470,334,727,100,514,305,295,171,085,696,413,930,430,454,666,164,230,
484,287,348,670,512,817,264,929,460,926,148,558,206,560,933,128,011,158,550,
276,900,521,797,937,155,074,915,824,066,051,810,398,909,620,220,600,514,543,
023,792,574,344,447,535,708,450,766,125,167,562,582,927,050,572,909,770,439,
229,286,079,529,953,097,557,618,237,619,583,753,376,246,152,367,822,759,344,
724,956,750,946,030,665,572,997,146,410,059,305,507,470,372,774,678,045,682,
073,066,047,389,335,132,573,798,614,258,588,248,580,842,798,091,712,881,715,
603,381,506,795,927,912,803,326,898,829,727,848,450,142,790,588,105,063,074,
636,869,548,498,279,719,102,850,233,157,881,359,553,178,337,873,813,348,533,
728,357,343,145,270,611,687,591,687,674,760,101,933,181,986,073,556,117,310,
689,211,999,065,179,146,737,299,777,331,023,483,938,044,249,808,782,649,600,
688,390,716,471,104,006,404,776,142,080,851,095,205,948,096,708,140,078,864,
396,669,929,951,877,195,403,345,210,068,360,359,652,743,964,596,367,364,792,
786,408,431,120,880,160,068,381,005,236,489,472,391,028,922,841,081,067,161,
608,191,866,648,115,537,161,695,685,666,908,569,612,947,277,822,927,775,644,
505,487,410,247,109,017,258,339,157,692,806,482,818,298,304,504,570,233,783,
152,330,861,509,942,923,605,344,648,181,900,299,218,426,250,174,374,484,387,
337,964,232,284,129,586,715,602,775,038,474,129,021,107,892,266,652,695,901,
541,795,156,510,085,907,621,493,258,565,122,037,826,732,798,733,211,743,152,
148,834,572,503,931,907,395,898,499,389,867,436,264,011,276,855,046,872,831,
480,440,680,534,466,948,504,439,308,329,831,842,842,586,099,255,006,646,092,
428,660,270,525,615,197,689,513,847,839,474,475,297,588,087,727,133,048,188,
141,349,761,791,879,061,895,565,719,982,829,923,629,544,461,880,037,872,748,
893,024,438,652,861,262,799,928,000,356,437,349,812,711,605,480,973,865,728,
901,977,533,722,413,776,457,800,627,078,126,330,284,165,719,819,412,461,113,
098,556,463,219,665,205,272,955,744,266,602,737,602,963,984,416,982,643,840,
303,414,116,465,393,178,400,589,891,268,744,543,884,285,868,297,526,523,710,
057,449,931,101,049,297,691,622,764,969,004,513,957,730,752,626,768,269,789,
162,029,828,101,542,812,514,820,644,054,827,755,672,926,679,550,648,562,878,
604,940,349,040,005,260,123,292,889,018,275,988,549,685,637,327,159,501,219,
223,900,761,877,642,194,284,977,051,004,837,196,337,957,021,301,070,630,230,
820,792,799,144,824,220,640,835,531,730,037,162,715,610,957,710,687,196,035,
112,307,243,604,219,816,098,763,797,003,901,528,823,714,848,645,336,852,823,
284,298,574,081,483,455,582,599,432,860,656,680,020,153,078,625,801,245,737,
099,371,202,170,459,867,308,097,647,024,424,622,896,694,270,504,243,046,730,
529,286,236,754,756,731,204,059,244,547,351,355,146,184,191,797,570,211,123,
559,543,182,497,404,223,999,757,456,977,302,330,567,030,931,542,631,963,028,
550,827,646,288,064,139,570,220,132,469,307,068,011,383,796,909,952,027,853,
022,996,628,992,911,708,891,905,645,264,260,035,220,211,075,012,770,971,324,
904,759,690,045,929,533,711,895,853,544,405,338,506,873,148,586,996,890,612,
778,861,226,451,767,852,998,321,595,927,156,206,118,276,787,827,606,576,372,
356,922,865,923,763,668,482,137,322,930,032,096,310,362,665,660,616,913,582,
883,168,082,441,495,109,534,525,602,212,278,935,922,595,038,509,465,260,255,
376,646,343,581,302,088,007,561,944,651,127,564,561,090,350,305,913,208,721,
336,286,299,814,315,658,844,704,725,942,225,028,620,934,704,234,523,861,334,
987,455,377,433,496,868,045,790,153,904,708,976,869,587,317,676,169,913,671,
605,879,402,793,784,273,046,775,477,916,377,616,322,261,293,762,612,246,740,
377,641,216,134,815,863,886,743,623,395,391,033,529,636,448,684,933,737,502,
557,768,747,075,841,381,463,760,415,167,127,043,551,493,447,860,773,895,416,
736,596,861,627,075,807,165,735,128,501,926,321,264,290,618,390,467,535,739,
795,337,244,537,279,317,847,726,309,119,687,805,461,732,875,699,892,904,901,
260,485,895,166,779,206,453,695,279,426,643,240,783,708,649,676,332,075,498,
510,189,472,485,911,910,590,439,149,148,589,425,026,529,572,404,070,827,040,
106,937,746,536,588,688,543,304,212,811,643,981,972,158,934,229,822,968,328,
665,920,667,207,810,998,616,363,203,107,532,295,855,039,306,973,146,382,856,
826,995,399,809,747,782,207,008,669,696,581,740,514,565,339,842,464,888,180,
400,181,221,890,672,958,574,311,942,208,634,554,160,591,345,971,579,479,581,
596,694,119,337,556,230,313,781,216,109,567,753,305,657,018,578,278,950,163,
816,557,205,618,917,040,059,639,792,410,163,579,748,863,169,814,792,422,058,
286,720,203,714,711,793,026,026,140,076,365,866,501,715,443,791,710,237,946,
735,395,129,537,843,417,323,125,691,746,909,131,830,843,126,559,188,713,056,
286,349,213,696,421,708,855,104,993,837,952,888,597,562,249,703,774,739,448,
433,847,527,690,616,058,209,432,977,496,180,742,929,747,498,660,490,690,191,
086,248,022,989,839,305,184,746,567,429,245,625,186,692,186,074,561,785,876,
790,532,068,745,739,881,760,216,950,969,751,715,562,730,887,776,331,045,300,
695,451,116,245,312,368,013,196,107,697,149,062,574,142,633,799,549,161,026,
309,643,696,885,347,288,978,454,401,107,022,436,583,690,324,708,285,591,697,
648,000,046,570,081,157,745,636,719,759,494,653,032,920,821,064,724,050,322,
460,936,781,440,142,086,246,477,452,107,001,257,353,174,106,487,667,890,708,
657,873,137,109,916,177,151,300,989,371,528,724,726,790,727,892,504,502,393,
967,299,543,930,615,362,366,919,231,447,190,593,052,008,587,928,462,210,641,
463,598,845,874,174,909,986,766,092,664,052,085,551,570,364,778,306,861,927,
384,949,413,024,876,620,878,181,896,402,547,487,849,698,013,874,494,496,882,
724,977,438,711,358,408,367,110,361,262,913,756,054,752,362,302,075,756,305,
179,625,534,168,600,066,127,996,647,400,671,472,810,319,415,739,901,310,672,
806,739,429,754,660,717,449,535,080,631,579,669,397,186,575,715,743,025,889,
803,063,776,987,965,707,161,186,856,916,076,232,800,237,457,736,723,549,359,
112,601,064,798,937,602,465,616,345,648,420,464,014,750,418,733,101,794,881,
495,841,070,902,862,516,652,644,460,298,972,244,028,842,820,886,345,452,381,
102,319,541,321,154,450,782,625,861,753,849,523,906,310,518,248,680,311,637,
037,876,119,422,705,072,945,041,637,554,068,856,512,867,494,603,802,640,166,
722,453,641,496,810,100,986,194,063,512,125,920,649,147,616,787,167,739,588,
222,047,019,853,995,427,324,993,334,538,691,681,211,880,407,575,424,912,832,
096,775,502,618,052,915,639,802,483,028,625,970,972,281,815,291,231,570,786,
040,439,174,489,137,814,122,265,898,315,928,255,655,825,492,724,772,463,844,
322,003,894,532,774,921,851,371,903,761,761,088,128,901,461,540,341,740,214,
870,156,849,949,583,819,716,447,830,035,924,950,780,380,669,637,364,829,291,
617,165,310,070,652,826,976,393,178,566,680,253,498,823,539,902,208,605,433,
486,843,227,504,539,685,420,213,070,577,526,420,676,226,555,552,028,590,555,
995,936,915,751,805,101,333,782,009,923,407,764,530,809,097,736,164,162,281,
649,028,932,251,399,852,233,596,975,539,062,040,847,130,111,579,777,971,506,
886,999,946,674,208,850,646,373,220,926,907,052,359,649,479,185,557,765,425,
602,446,211,315,236,852,866,143,696,255,336,399,102,519,517,760,729,795,667,
405,809,942,612,446,134,082,131,048,922,352,867,572,882,084,880,939,313,515,
792,204,236,253,629,163,100,774,761,854,897,789,801,751,150,396,071,902,810,
469,946,200,223,023,234,575,934,675,530,288,242,074,645,586,579,504,958,657,
264,951,909,084,477,402,528,330,295,155,642,375,501,306,395,672,869,469,746,
749,718,554,558,134,757,219,542,685,286,280,535,823,441,552,601,892,406,360,
145,585,811,930,437,770,509,923,023,682,556,120,360,786,071,200,425,301,482,
748,414,033,062,016,256,603,115,456,688,330,134,044,782,535,473,566,254,067,
162,798,218,393,885,016,040,524,397,889,256,575,216,762,759,120,594,045,360,
768,201,907,812,465,851,024,983,190,017,567,645,792,976,740,386,427,548,615,
265,573,114,139,170,977,277,610,973,329,808,717,171,383,592,199,080,204,626,
076,615,119,549,700,629,554,843,254,985,848,238,753,469,288,235,653,122,908,
404,617,519,674,781,814,177,755,174,014,184,934,534,705,425,789,415,092,354,
046,958,674,844,780,092,518,423,789,811,480,365,228,807,487,848,509,478,727,
115,085,986,606,101,221,698,410,679,340,891,689,093,822,192,694,462,183,896,
540,358,882,123,043,149,159,034,857,403,920,081,154,498,051,104,643,712,198,
839,096,901,794,457,860,563,118,613,760,872,097,623,782,997,161,767,430,847,
411,441,717,668,708,294,086,671,755,968,351,814,243,908,485,952,439,631,777,
848,144,930,914,146,697,763,650,619,901,441,852,283,298,127,198,769,576,141,
597,268,785,313,745,346,882,701,735,355,087,160,801,364,707,343,975,616,960,
177,995,241,444,025,587,949,130,482,060,670,903,794,413,595,045,292,903,172,
901,616,936,410,266,103,816,615,619,875,440,183,014,084,747,515,662,288,595,
575,260,750,615,498,893,248,411,809,082,112,819,102,062,767,425,123,235,994,
537,190,170,848,104,986,865,482,680,644,908,031,819,646,302,520,987,524,277,
333,315,854,723,459,667,342,117,414,491,437,943,477,807,826,532,211,029,366,
133,778,964,279,741,540,041,031,854,050,933,321,975,366,305,508,321,188,128,
071,899,142,195,673,946,485,720,767,677,195,709,498,509,613,061,435,848,509,
380,367,252,953,885,417,999,472,702,186,946,694,754,747,276,297,251,842,660,
026,355,351,112,278,497,851,785,035,657,598,762,729,818,455,860,565,202,535,
147,236,598,171,339,634,597,448,957,336,466,180,277,322,444,272,618,105,760,
458,291,775,747,151,051,103,709,040,094,555,341,263,313,272,416,826,892,695,
762,178,152,648,430,592,214,864,292,256,132,963,495,675,329,960,458,623,347,
858,632,132,095,752,660,664,722,383,290,732,056,136,608,395,140,884,214,999,
524,027,488,934,801,896,626,460,008,948,390,454,225,289,425,109,616,891,869,
103,021,072,949,434,914,613,895,837,699,820,500,592,409,409,227,995,686,250,
203,291,293,097,218,947,518,214,187,748,974,489,009,824,313,569,426,827,455,
446,893,488,045,994,458,659,424,741,537,797,434,093,646,413,489,494,898,157,
681,784,996,239,644,189,597,194,328,638,720,250,092,408,325,599,381,774,525,
354,351,914,654,535,193,847,870,527,941,940,939,752,268,879,735,272,521,195,
844,302,207,674,844,125,147,292,220,005,357,310,427,604,741,533,527,530,808,
509,115,235,777,358,652,255,186,305,752,685,052,040,050,196,197,722,915,795,
143,601,314,526,440,832,487,374,156,247,570,187,292,389,064,637,728,699,271,
772,673,283,125,289,204,918,150,177,369,535,760,330,735,415,000,620,998,914,
697,815,024,787,845,767,509,283,743,142,302,607,875,712,180,204,598,817,715,
418,584,502,275,750,379,247,187,816,217,230,262,128,747,821,612,983,439,555,
917,069,208,893,948,426,775,233,607,849,027,221,176,996,424,888,457,292,486,
125,588,888,986,427,734,284,789,503,624,096,262,731,249,672,875,707,814,994,
509,377,137,279,201,137,243,530,232,631,957,477,146,115,181,389,694,347,928,
338,275,952,852,070,765,108,151,554,059,854,490,973,072,723,968,523,219,404,
251,510,867,510,344,786,404,775,883,468,142,474,851,082,045,499,346,562,199,
327,120,521,397,475,385,552,917,804,778,282,792,927,695,974,772,930,346,502,
957,138,913,685,768,798,345,810,642,107,632,127,104,522,666,243,683,577,303,
542,898,024,623,261,549,999,121,131,380,574,008,244,285,940,722,954,796,563,
705,130,550,228,915,225,748,248,899,979,035,855,340,613,798,318,766,126,673,
409,577,821,815,753,330,614,372,050,704,997,607,694,214,861,381,147,531,782,
919,403,366,277,324,872,968,050,616,575,654,041,319,764,234,029,566,592,073,
377,669,140,038,097,312,805,023,810,544,104,982,134,370,649,038,708,561,857,
641,686,636,696,425,451,492,816,546,896,703,917,250,388,735,979,852,957,122,
303,102,548,339,839,777,608,440,908,404,328,962,970,125,691,437,871,650,808,
107,475,305,103,449,409,302,980,460,536,994,917,786,486,073,058,473,974,229,
131,252,425,438,767,701,852,889,825,123,659,648,092,243,460,183,253,405,444,
405,663,188,606,339,309,963,044,268,441,607,672,607,443,377,891,085,709,332,
615,196,095,643,668,695,471,013,666,489,377,290,447,495,208,131,841,514,641,
486,064,334,397,988,367,828,703,389,004,520,414,146,810,041,462,887,368,176,
310,442,544,905,639,166,163,147,311,877,493,983,020,308,203,576,742,930,554,
520,433,677,169,200,882,688,766,136,560,842,288,415,641,141,569,094,304,955,
469,676,279,453,809,289,831,367,240,264,724,706,573,720,841,979,381,396,897,
276,491,477,848,990,492,448,337,316,791,737,332,650,567,046,407,461,794,856,
282,176,011,354,079,970,222,885,400,833,176,220,209,213,055,805,125,116,713,
347,491,627,404,272,933,373,253,612,222,284,800,515,488,708,961,882,107,768,
971,208,238,976,207,431,972,972,125,733,370,474,149,418,727,616,239,549,490,
186,938,475,145,321,266,387,995,752,581,171,868,551,248,006,774,615,184,561,
780,841,870,369,653,495,541,809,944,721,970,705,159,748,853,318,530,487,041,
603,794,041,952,000,949,099,106,229,118,989,844,713,710,807,557,847,791,096,
412,766,281,564,054,267,258,071,070,515,292,865,160,061,383,379,624,065,902,
822,971,662,490,507,448,903,571,688,763,733,726,048,814,001,232,905,893,939,
216,758,421,467,723,302,624,431,457,059,640,480,415,909,628,049,309,642,977,
333,263,916,652,685,925,733,363,090,180,749,166,707,325,447,046,200,265,400,
872,767,764,628,299,576,083,418,771,879,943,850,197,602,094,581,529,435,917,
562,730,917,987,289,805,708,976,400,579,342,006,931,329,117,587,522,326,987,
636,426,967,471,551,458,335,612,137,544,712,410,257,438,290,531,727,161,332,
451,874,662,304,392,835,611,304,089,934,048,540,070,624,777,195,436,868,719,
793,917,741,061,067,909,746,208,505,738,915,482,844,532,991,012,418,568,753,
139,404,863,897,528,921,033,384,285,595,396,772,539,328,925,157,302,308,414,
530,923,926,020,606,711,489,949,614,558,840,199,231,934,329,164,193,608,090,
633,273,208,986,946,315,704,568,055,110,458,786,085,058,936,650,828,218,289,
356,048,048,150,353,067,711,719,367,724,548,505,842,615,406,814,731,723,159,
976,661,139,133,496,475,958,957,246,071,499,587,639,509,149,718,052,779,682,
982,319,066,934,346,010,252,783,233,823,630,506,909,390,977,604,611,464,318,
336,150,449,131,915,836,879,201,053,471,974,192,487,552,747,541,858,246,084,
664,334,386,313,351,354,558,472,660,162,392,079,529,860,227,780,326,259,171,
302,508,477,598,813,499,438,179,345,476,057,715,117,398,988,614,991,667,055,
934,021,425,202,511,676,826,546,557,546,731,220,918,190,821,686,387,347,027,
632,096,447,089,976,891,915,877,974,671,815,799,135,824,500,548,059,658,044,
812,097,483,812,285,939,816,564,192,085,522,171,768,250,932,800,216,336,594,
685,119,979,456,483,605,137,592,403,501,782,113,749,222,076,746,452,340,894,
300,372,786,678,567,191,229,945,218,304,785,174,851,400,987,033,705,733,394,
722,479,226,529,596,137,157,475,735,834,317,944,599,439,309,535,234,741,661,
656,941,693,077,868,282,673,877,083,391,155,893,569,569,717,640,527,721,909,
338,502,950,194,359,446,084,912,871,945,327,617,711,850,522,135,547,848,674,
178,843,451,696,840,000,113,186,309,229,911,162,366,328,027,420,431,177,876,
966,088,762,117,962,949,871,265,824,840,817,695,670,807,959,726,358,839,599,
991,943,309,342,039,367,597,946,965,240,970,327,196,212,631,440,241,168,294,
123,904,446,561,801,376,445,237,837,162,082,892,986,861,652,150,982,124,037,
288,047,136,140,157,471,354,974,880,282,059,903,730,102,155,309,603,564,848,
335,384,881,454,702,053,932,238,279,049,636,485,567,252,305,197,135,578,469,
664,734,213,198,704,308,729,347,024,915,193,817,365,976,298,166,877,062,278,
025,293,421,521,812,516,577,909,755,991,356,009,197,353,558,134,520,470,059,
877,675,929,855,684,816,909,518,344,608,094,671,208,705,746,630,524,253,445,
850,686,111,900,150,120,739,241,860,503,257,767,724,828,497,717,798,937,134,
579,156,788,906,753,038,444,259,416,599,409,353,820,478,777,352,123,208,720,
215,020,014,333,557,196,143,561,997,566,917,076,121,178,934,121,797,533,991,
580,216,514,070,485,280,701,272,891,682,557,469,326,697,907,476,170,991,165,
414,957,619,662,224,884,132,199,251,383,771,822,528,582,677,165,481,544,082,
661,407,973,186,351,848,715,558,059,137,894,850,427,001,982,997,852,306,756,
872,095,693,924,810,701,212,245,841,657,871,045,963,960,696,206,786,710,730,
782,516,466,712,282,858,926,543,348,764,633,828,503,489,419,109,629,419,853,
722,326,776,333,995,472,684,594,563,294,079,771,573,636,278,601,977,135,788,
578,367,214,455,888,537,310,688,235,177,350,420,090,129,791,085,180,072,575,
111,854,710,072,854,485,008,103,872,899,044,902,934,880,489,744,259,507,714,
321,081,238,901,077,585,842,339,244,094,029,967,041,546,461,620,628,994,362,
709,783,060,390,147,615,218,443,209,590,210,836,295,171,288,206,856,808,034,
105,328,506,355,361,633,727,978,545,487,383,480,124,015,133,421,819,882,604,
565,083,379,082,521,329,061,425,715,705,676,500,737,917,494,325,992,583,806,
036,146,719,389,523,371,741,160,250,509,175,371,444,278,502,092,311,244,281,
863,782,152,459,488,246,028,053,399,463,695,765,780,320,160,381,639,475,211,
398,710,877,597,207,651,093,778,312,865,250,190,595,490,122,163,429,109,862,
393,135,304,426,225,436,379,649,393,004,796,339,148,480,459,483,031,115,594,
416,108,826,626,992,070,902,934,604,437,917,127,235,499,630,662,037,100,440,
773,528,844,664,507,675,806,395,839,784,284,978,498,468,924,839,194,935,219,
832,539,973,632,578,376,539,867,633,302,147,632,446,471,868,885,790,662,575,
546,678,161,917,482,638,887,713,923,533,345,198,725,401,678,096,568,638,250,
464,517,146,521,292,401,608,528,671,202,869,411,839,119,647,769,111,541,347,
619,064,048,595,519,742,718,604,133,218,158,381,751,567,427,150,263,055,711,
251,476,949,531,977,142,114,986,061,502,414,288,513,797,588,499,300,409,594,
852,208,592,489,788,574,585,870,934,104,020,929,492,587,349,272,711,081,766,
643,519,353,102,325,393,625,294,342,916,956,978,494,213,011,344,454,483,581,
416,099,742,710,447,224,965,576,662,937,905,122,474,437,491,601,891,290,858,
998,532,749,645,606,809,826,768,340,775,750,851,897,072,407,919,105,320,014,
812,009,553,007,598,043,669,316,002,646,046,700,479,678,376,239,148,546,121,
046,198,204,302,392,629,480,086,420,900,685,036,789,825,474,247,113,072,067,
235,146,206,103,070,728,368,118,288,478,374,112,691,698,188,561,667,799,456,
885,273,355,396,148,271,660,594,909,738,132,430,320,938,184,245,255,170,359,
178,307,152,668,035,321,373,625,545,014,196,720,122,296,839,920,157,916,385,
647,913,823,390,559,443,848,765,377,472,098,069,881,901,154,359,581,333,168,
626,554,856,401,139,457,999,601,531,166,881,943,192,117,914,962,219,443,953,
562,575,850,031,887,547,130,347,283,366,573,282,361,023,414,680,320,767,156,
456,817,020,052,331,384,859,196,234,104,130,356,259,898,095,157,935,172,303,
798,516,592,235,396,843,590,031,618,494,497,017,785,293,621,253,943,352,680,
968,098,088,325,957,401,782,406,313,416,536,475,707,771,142,110,808,935,901,
399,890,544,673,959,927,790,429,994,411,922,001,175,148,178,584,929,320,303,
680,531,694,696,293,198,844,415,279,501,039,795,078,404,213,164,383,613,898,
753,704,954,338,848,094,264,103,619,454,929,023,901,982,509,553,848,295,937,
243,457,739,912,283,646,136,004,361,337,127,579,589,449,582,011,349,853,708,
820,650,680,256,399,875,910,361,657,787,031,355,613,180,156,059,886,096,321,
451,464,683,554,683,631,182,115,858,699,803,484,171,126,222,471,081,609,268,
366,553,221,010,365,693,765,307,733,821,268,252,252,643,867,194,045,960,254,
094,572,626,596,040,897,020,491,809,385,965,206,965,236,995,459,650,591,124,
084,992,559,934,569,049,077,053,005,249,241,318,925,022,661,588,751,960,624,
854,759,811,855,761,871,940,775,422,411,039,836,287,629,929,157,123,238,810,
096,594,109,003,171,304,899,405,264,246,501,181,118,932,615,623,838,426,410,
479,662,091,793,318,325,073,054,349,086,980,529,570,673,808,218,370,246,703,
959,225,478,995,128,206,134,929,132,285,766,429,678,682,900,392,265,503,535,
877,268,839,147,829,338,322,149,860,552,485,106,118,160,524,113,589,312,453,
561,105,816,394,732,553,903,298,653,709,076,498,326,298,641,389,255,834,719,
818,206,134,846,453,227,988,392,193,782,003,721,281,766,250,351,827,470,635,
822,277,212,705,996,881,425,869,790,395,591,618,422,623,428,275,465,296,465,
700,388,178,586,596,261,332,626,553,693,063,384,577,755,897,610,199,124,364,
863,034,533,835,917,891,528,702,467,959,581,897,737,904,056,959,241,152,639,
330,788,246,131,278,276,105,334,088,870,629,805,758,484,212,963,591,403,288,
409,501,767,133,224,539,524,490,822,607,913,213,726,837,424,998,952,977,797,
202,737,498,460,308,743,241,368,730,214,667,338,853,978,065,358,825,518,597,
605,357,415,932,745,067,791,845,593,153,250,826,523,135,466,034,323,608,652,
083,540,266,931,079,036,249,373,362,959,955,253,813,848,769,287,294,939,858,
089,416,224,015,626,873,217,720,169,030,972,978,997,134,431,298,359,690,545,
343,739,821,505,626,277,040,099,400,390,467,422,809,326,221,913,624,342,456,
599,278,569,691,648,311,004,714,268,278,335,158,910,771,030,924,934,173,961,
698,577,744,078,979,119,485,039,318,201,413,205,926,471,705,870,555,003,621,
975,963,723,109,112,020,431,101,094,500,324,877,451,060,001,466,710,210,745,
467,537,934,978,837,884,302,236,908,994,794,245,931,667,649,326,073,650,799,
518,202,395,361,041,814,878,195,373,410,065,484,980,266,837,957,720,825,127,
474,748,597,460,388,444,830,613,707,099,740,887,677,733,958,898,350,166,101,
914,682,917,568,100,505,427,294,136,662,466,832,364,257,254,640,429,233,116,
831,694,992,561,651,630,433,156,281,371,887,437,627,072,690,564,949,271,510,
096,254,357,616,592,692,410,969,555,241,318,622,333,853,419,167,969,368,103,
826,258,219,898,641,326,996,841,515,875,271,338,175,050,537,760,728,290,601,
282,291,667,654,092,248,903,817,654,985,087,102,076,250,189,674,740,787,937,
925,632,720,398,519,786,753,062,627,191,951,471,982,645,799,927,349,261,606,
849,737,037,292,599,044,298,143,523,248,160,854,602,253,783,930,238,180,283,
699,448,142,164,964,874,272,445,471,813,649,326,214,352,033,379,012,900,811,
443,659,285,144,491,719,089,471,796,974,196,407,941,648,952,185,495,822,383,
467,998,572,816,425,532,579,677,452,897,458,865,986,097,981,528,136,776,398,
666,745,664,536,493,257,614,751,013,063,220,566,771,410,672,304,181,243,304,
680,251,320,834,136,101,203,097,942,400,307,749,059,332,961,964,271,292,837,
019,003,085,996,712,097,109,216,389,739,509,253,372,790,469,676,270,231,394,
717,100,438,182,961,451,059,195,277,265,592,575,228,561,223,780,441,490,906,
347,317,714,524,376,093,490,220,050,497,979,841,109,827,091,179,173,839,794,
633,974,248,942,143,123,502,800,846,741,577,227,207,118,657,739,817,746,431,
194,085,615,880,035,037,683,228,415,617,876,893,587,045,147,247,343,710,048,
430,398,438,656,262,768,650,620,484,246,672,273,357,052,057,035,032,137,195,
766,510,834,817,816,279,018,755,858,659,558,322,011,866,469,265,289,570,190,
318,606,686,217,184,963,093,573,950,058,163,181,599,661,396,174,050,281,660,
879,899,031,232,757,462,946,417,538,092,395,645,285,795,106,526,859,040,170,
674,803,185,350,888,452,313,158,443,593,425,478,292,788,866,238,631,017,525,
745,536,453,824,892,163,686,838,114,179,177,321,833,129,522,059,225,020,985,
521,987,629,695,365,926,830,501,938,544,770,244,296,979,438,174,977,044,938,
044,760,761,577,815,918,760,758,754,742,131,997,572,549,676,186,060,016,303,
886,340,331,587,355,182,800,993,449,738,762,328,092,842,285,831,321,667,830,
198,043,542,196,478,993,584,233,490,418,027,259,005,507,612,818,308,733,508,
256,822,726,975,016,109,191,496,031,054,155,840,570,890,150,992,240,429,002,
909,702,484,304,672,697,432,208,031,820,270,871,486,763,511,380,363,021,452,
089,412,769,571,417,007,039,484,296,493,037,666,994,946,419,874,085,915,835,
617,963,756,244,961,967,775,376,641,396,275,779,814,528,766,027,881,528,434,
341,303,100,937,334,723,863,630,435,843,622,646,651,768,262,133,878,021,140,
242,225,115,514,092,357,365,417,867,791,121,168,568,237,242,545,712,677,640,
227,284,059,086,612,328,319,366,767,155,932,129,350,097,056,343,180,580,040,
522,639,856,988,661,094,952,707,774,170,797,407,949,128,062,623,039,713,821,
207,033,681,369,828,572,872,099,590,568,011,713,295,682,188,130,716,974,055,
683,556,477,873,172,254,700,368,409,107,480,803,292,278,568,851,086,244,667,
807,329,517,232,748,392,349,109,051,694,250,245,147,427,672,340,951,332,085,
743,817,963,504,379,488,127,828,470,430,387,057,676,982,770,975,544,145,487,
530,754,235,203,389,136,783,856,531,062,789,425,031,308,734,902,993,359,320,
756,956,438,060,562,361,992,595,478,817,965,877,978,490,187,711,713,791,136,
920,034,838,541,204,434,009,846,290,178,404,913,550,754,123,859,521,829,325,
783,385,216,390,384,979,150,273,779,072,622,537,471,817,818,097,900,512,148,
162,104,925,397,057,906,500,389,535,270,323,694,586,740,573,762,416,303,533,
141,968,616,309,829,383,001,535,514,715,362,762,336,819,198,669,975,200,967,
953,223,388,026,209,796,478,226,124,989,937,180,807,478,288,227,439,832,368,
862,684,208,872,871,502,547,862,285,787,207,159,796,057,651,056,008,182,042,
750,973,248,290,881,952,118,369,111,067,863,174,132,493,531,111,330,268,252,
107,559,147,643,295,950,614,418,881,737,386,971,039,828,858,747,827,027,735,
991,692,793,740,698,435,541,544,925,849,539,534,179,998,964,546,312,973,762,
185,301,243,129,178,496,839,307,060,689,648,212,156,694,274,343,443,454,039,
067,278,870,594,736,523,888,109,793,084,260,816,113,040,375,012,005,001,991,
945,499,453,623,300,350,332,318,217,699,466,018,154,297,640,112,184,973,482,
190,243,510,907,287,527,624,387,087,265,457,156,467,188,565,871,672,100,795,
122,599,217,603,474,570,918,395,775,560,962,228,620,211,251,813,286,666,574,
374,363,288,388,536,876,903,457,550,410,696,302,016,508,000,513,726,543,464,
645,912,041,380,874,944,375,224,703,691,340,153,939,696,832,040,682,176,257,
297,152,236,081,542,397,012,744,909,139,782,389,988,512,018,020,713,450,170,
147,705,104,692,749,625,947,182,900,917,092,584,001,911,813,739,886,484,912,
078,535,391,940,534,484,600,120,908,906,299,463,821,165,625,184,866,518,030,
802,906,423,272,706,342,561,259,525,253,255,725,124,739,492,002,131,014,251,
441,335,359,347,786,100,513,819,952,140,191,118,152,835,593,305,483,303,106,
249,513,633,377,322,180,706,410,992,412,705,880,477,882,008,562,045,058,649,
913,022,491,046,038,437,298,433,513,348,701,529,676,619,471,395,303,361,929,
747,663,168,011,048,292,692,352,423,332,468,504,634,996,788,078,162,731,785,
384,197,551,109,831,620,296,486,412,861,387,552,715,747,025,364,569,457,667,
907,828,695,881,520,713,876,204,752,650,160,745,542,060,819,489,446,636,707,
510,907,632,454,984,200,580,743,949,029,492,162,440,979,380,366,549,032,358,
648,453,256,632,845,984,904,689,474,060,648,602,457,837,281,584,510,649,711,
500,607,346,086,978,657,809,209,324,727,543,273,286,799,936,880,988,121,852,
980,125,317,824,879,635,390,794,823,125,960,712,135,231,842,267,186,903,045,
198,131,567,809,188,987,290,644,520,681,606,429,356,180,352,232,622,236,290,
922,944,937,192,420,792,517,466,927,090,468,533,635,864,358,294,540,538,140,
156,632,976,873,450,509,075,975,448,141,767,550,158,991,114,118,790,290,041,
126,779,625,533,162,220,715,828,374,424,533,851,633,533,635,778,652,630,708,
896,471,283,737,161,328,031,447,428,404,820,259,674,796,534,832,736,041,326,
567,750,430,456,780,553,138,535,914,339,182,704,961,936,175,293,537,674,914,
596,899,131,495,770,268,097,029,544,742,473,361,732,599,841,969,365,055,506,
566,465,366,849,946,320,392,513,969,113,573,938,814,419,499,884,755,780,497,
768,017,625,828,135,936,492,174,905,452,314,290,499,978,231,411,866,443,180,
964,179,298,980,300,971,064,383,179,575,727,143,351,551,505,139,227,084,830,
457,888,303,920,208,095,762,623,952,333,388,258,328,733,620,695,457,777,002,
018,452,901,681,290,774,901,961,662,465,257,864,689,197,948,903,670,453,502,
065,877,900,296,578,944,927,298,714,948,348,814,157,886,360,040,369,209,332,
852,576,151,978,030,566,791,255,533,304,804,696,793,770,165,426,126,210,963,
741,472,669,737,573,444,101,208,105,337,802,448,660,445,639,216,726,380,753,
409,212,935,932,922,978,543,999,147,002,921,481,678,405,615,512,381,916,994,
237,391,013,748,536,676,193,985,578,043,092,110,180,913,731,264,816,141,056,
987,158,488,407,930,332,514,341,289,055,190,548,411,117,473,526,867,715,945,
995,308,991,424,481,349,943,795,328,037,899,550,382,900,706,332,787,152,724,
432,392,562,478,592,511,115,012,729,389,740,908,137,173,791,737,301,933,927,
826,649,702,366,348,388,687,946,765,303,343,974,491,407,275,252,489,967,106,
000,614,362,121,999,236,515,862,318,983,843,430,604,574,859,970,855,109,410,
801,799,760,939,162,071,974,523,314,939,042,929,075,007,387,587,204,499,085,
498,332,714,745,132,677,258,352,127,979,378,211,719,760,607,355,475,141,260,
085,572,360,909,791,734,353,671,756,549,948,628,464,788,543,933,175,264,101,
166,989,178,001,616,944,569,755,234,507,724,493,031,684,654,397,486,289,601,
673,800,722,372,460,064,430,016,799,749,681,713,116,218,232,771,527,525,196,
066,794,217,661,148,126,977,535,454,371,226,303,126,620,126,985,070,461,285,
069,129,748,259,867,676,366,108,887,257,174,696,585,122,433,056,133,497,756,
859,588,754,752,785,257,782,448,234,053,685,791,460,489,287,124,933,030,020,
938,578,240,358,353,315,920,746,167,012,113,768,020,825,919,050,651,558,127,
981,001,230,097,962,958,898,198,556,989,533,061,484,424,271,371,053,324,882,
208,503,912,279,584,335,882,889,115,871,116,006,734,759,963,997,292,248,086,
890,392,010,265,455,727,537,903,690,627,310,583,208,990,736,181,550,479,084,
873,793,363,825,030,741,300,389,623,578,184,857,367,759,087,096,259,524,508,
014,804,233,878,482,469,345,475,373,565,089,851,356,669,688,250,487,070,176,
571,583,900,432,808,067,323,223,824,984,929,680,646,129,524,980,038,358,280,
745,255,723,748,483,314,547,616,872,895,701,669,707,176,707,322,132,898,241,
907,807,834,163,354,985,590,883,769,448,221,715,987,605,793,352,717,217,525,
498,017,383,179,658,456,672,670,520,356,368,847,630,865,580,345,956,846,737,
752,831,340,308,253,962,573,502,730,061,323,937,881,638,079,011,415,316,277,
443,826,369,524,601,932,400,545,694,434,743,411,976,076,879,341,123,420,003,
035,415,735,089,630,283,203,826,471,811,784,363,145,221,842,356,272,144,203,
892,306,606,970,025,222,835,400,278,997,305,643,382,298,725,633,524,582,427,
199,138,083,761,513,446,044,655,392,292,010,471,316,920,367,300,324,883,629,
827,868,165,040,070,690,747,867,353,095,665,095,603,389,227,111,909,192,074,
777,338,843,497,359,137,065,109,604,873,931,439,351,337,153,781,423,646,289,
583,581,697,922,224,186,530,320,245,732,409,358,822,154,546,304,718,590,249,
752,960,616,691,073,178,019,673,360,508,314,030,844,097,917,818,961,884,588,
248,154,052,595,596,682,820,649,761,895,539,001,144,502,956,794,585,750,799,
900,831,117,474,611,963,817,730,658,242,347,239,548,362,520,315,481,159,131,
170,532,008,287,440,983,169,017,304,478,821,988,708,230,063,867,096,106,672,
739,082,768,731,548,206,510,171,057,364,969,582,695,445,396,622,310,555,429,
523,364,650,451,542,114,930,594,459,698,608,585,352,814,688,902,298,313,619,
887,779,580,409,060,962,998,230,538,656,085,914,602,723,238,636,588,614,227,
757,030,088,473,711,115,251,401,393,703,968,338,061,346,013,436,021,419,342,
527,538,515,312,381,389,744,400,632,775,163,906,230,418,284,490,990,212,005,
660,253,003,791,810,324,735,918,791,653,321,343,985,485,648,959,569,549,546,
215,597,316,278,358,408,125,955,207,517,992,809,476,146,236,827,523,414,431,
347,043,802,772,451,577,936,937,040,149,892,991,440,782,709,116,061,914,025,
617,724,842,537,333,549,464,061,400,966,040,830,667,862,672,642,316,891,768,
544,469,847,700,284,956,735,641,566,524,498,907,512,041,807,985,277,679,202,
432,237,242,747,232,980,912,893,487,149,648,045,952,372,606,584,740,020,985,
000,504,759,354,339,956,101,783,067,797,108,726,953,301,905,792,405,081,933,
183,855,502,136,373,151,169,867,487,038,582,480,797,506,424,362,739,507,672,
466,765,384,221,674,430,989,940,110,048,947,544,804,827,930,933,649,364,511,
912,351,692,913,063,433,939,267,313,283,465,466,426,092,655,497,946,353,080,
060,814,630,690,583,164,930,444,726,736,115,100,548,235,938,334,832,804,414,
686,925,123,248,418,847,627,442,739,508,436,812,601,860,219,005,005,818,722,
568,788,074,286,614,857,032,052,696,090,432,599,130,643,047,840,896,276,492,
893,520,287,705,714,588,135,618,133,195,014,888,230,009,822,238,195,492,903,
092,111,882,390,661,572,138,646,032,667,170,235,013,474,296,086,098,273,032,
069,084,295,199,675,870,488,166,861,486,123,545,448,734,615,675,771,676,005,
023,355,144,977,205,601,921,606,342,193,669,636,015,717,574,690,707,660,817,
893,103,643,709,312,535,978,378,746,485,440,771,885,817,786,158,852,584,760,
930,974,004,199,277,896,619,884,077,316,941,060,415,595,174,171,253,295,766,
317,717,683,796,758,048,268,607,438,572,807,543,512,902,589,644,116,280,791,
108,335,974,997,341,534,584,724,747,788,199,661,891,634,268,504,860,383,070,
980,681,405,466,730,120,835,672,254,780,745,703,932,880,954,906,777,596,338,
980,673,686,986,930,896,676,925,182,514,006,533,261,169,110,943,757,305,296,
943,195,242,549,335,330,204,075,291,113,108,833,551,559,124,901,081,950,909,
107,026,827,552,131,428,273,005,690,284,318,113,838,300,011,682,534,866,983,
406,950,898,489,273,029,459,570,651,186,712,922,544,150,348,902,500,430,811,
797,301,305,600,339,565,135,394,166,332,120,748,699,630,538,518,959,585,996,
410,739,910,412,674,666,423,124,064,574,527,199,443,617,746,583,114,174,253,
449,863,148,228,946,281,337,639,282,127,497,372,368,955,330,057,167,419,067,
430,756,789,330,441,642,738,422,131,329,389,261,666,521,239,900,796,525,119,
421,520,091,140,411,465,395,724,411,949,054,873,442,490,176,016,412,279,496,
513,191,135,265,457,307,078,498,878,997,472,579,578,844,447,428,046,414,222,
383,505,342,364,054,818,139,085,207,114,283,314,691,185,991,590,181,119,040,
062,109,574,013,296,956,475,762,863,086,105,154,026,250,010,045,000,537,723,
837,880,502,140,199,704,943,604,888,681,196,047,153,419,036,366,849,761,529,
116,614,482,835,681,878,911,802,199,681,169,223,784,112,610,022,872,344,649,
262,383,088,383,800,684,311,781,986,958,587,708,897,542,476,419,848,143,315,
821,026,336,167,274,521,356,241,822,182,716,552,389,977,776,135,369,949,907,
184,896,160,844,644,523,076,654,713,451,051,500,160,042,972,755,752,832,322,
679,196,299,019,519,128,820,245,917,117,361,382,681,285,566,408,165,759,843,
094,662,832,951,045,726,682,601,845,194,803,279,163,173,326,534,390,186,651,
453,755,400,481,025,588,780,133,397,198,168,017,984,216,685,324,033,080,367,
700,149,611,717,641,140,665,441,843,957,622,122,584,816,323,062,670,678,995,
661,889,580,649,349,098,101,014,124,122,784,796,364,687,072,698,781,303,671,
499,629,919,957,936,654,668,496,356,317,617,823,679,654,456,825,353,459,847,
732,855,974,881,251,662,832,547,103,550,664,109,940,209,823,092,319,538,962,
621,099,121,133,762,767,642,441,039,558,830,841,823,564,650,599,660,797,411,
579,718,250,357,793,943,143,514,160,655,498,194,878,198,231,319,719,649,538,
723,384,821,899,456,632,841,864,886,427,079,173,999,045,361,414,503,533,624,
615,388,157,079,883,457,402,674,991,930,951,407,090,733,897,847,976,884,688,
713,604,127,253,150,774,601,335,180,887,872,093,716,813,053,213,487,626,037,
993,086,641,021,155,163,944,421,160,439,584,113,013,420,142,263,983,839,826,
046,018,186,538,084,936,517,048,926,653,064,629,483,179,457,403,421,605,872,
527,661,719,259,396,816,804,003,153,548,265,042,306,323,692,006,634,760,272,
521,330,822,295,551,121,258,000,124,349,008,830,613,466,873,385,733,800,623,
133,232,405,574,482,390,419,531,424,615,885,327,431,743,685,289,295,578,410,
810,797,965,786,048,123,315,246,195,623,177,383,175,384,749,602,815,490,730,
571,121,349,163,315,201,441,216,934,261,900,353,311,432,714,236,546,402,418,
743,384,578,205,648,858,005,483,251,413,172,859,816,075,148,023,871,927,928,
331,188,899,122,760,039,659,535,355,748,516,557,909,471,587,679,722,454,713,
638,180,422,858,524,464,402,466,358,943,117,371,991,644,953,074,249,644,578,
125,702,841,889,955,846,304,100,969,955,493,943,874,758,045,432,608,928,792,
995,022,551,915,167,818,651,610,741,887,627,304,660,673,712,664,524,364,864,
790,321,846,949,616,472,895,634,339,932,563,127,034,240,434,493,231,066,730,
804,352,303,132,775,840,727,026,504,339,689,006,801,536,700,600,851,748,524,
318,193,049,209,968,481,853,298,778,771,544,375,382,876,265,348,025,746,855,
897,990,182,853,817,321,462,252,327,596,218,320,363,849,172,380,276,498,601,
939,014,127,337,423,737,852,992,427,909,995,286,687,563,167,713,632,957,230,
012,863,030,124,591,689,105,029,207,939,072,349,980,141,608,304,277,563,029,
768,492,422,569,381,934,908,594,067,210,173,480,180,197,795,114,658,800,026,
080,188,676,506,835,625,460,574,275,279,116,148,395,581,437,117,256,814,478,
911,406,662,457,472,930,786,803,920,142,778,673,748,854,952,925,214,133,795,
077,948,195,370,288,177,591,616,085,267,234,454,616,730,417,459,397,412,752,
228,052,259,784,218,201,235,642,523,061,987,166,124,249,244,892,917,688,717,
851,050,697,639,514,633,519,457,275,100,163,266,286,196,828,450,427,111,036,
199,100,465,743,192,721,307,796,847,585,694,596,226,546,906,106,218,629,628,
956,799,581,988,555,477,193,597,798,270,361,898,007,325,010,489,909,794,141,
633,014,121,605,416,748,893,757,748,169,447,551,756,782,709,328,563,029,481,
487,848,480,901,398,505,271,153,053,095,037,654,135,560,342,833,678,960,835,
323,791,289,725,905,822,314,725,181,611,303,736,335,638,452,846,695,487,062,
804,195,832,973,589,864,263,193,435,201,569,199,598,977,754,229,357,953,112,
386,841,171,248,849,913,799,484,482,142,316,765,055,851,218,824,487,242,095,
963,677,985,936,358,805,344,255,212,388,702,000,463,578,700,907,250,054,780,
552,805,688,915,651,189,530,073,743,765,204,044,344,551,064,504,604,809,008,
299,773,292,502,447,349,996,743,036,993,253,482,204,737,101,960,838,477,333,
232,329,373,764,634,929,945,367,762,613,351,303,975,410,314,051,425,381,618,
848,695,608,426,290,536,556,124,021,512,778,578,092,651,074,742,603,896,900,
563,469,191,496,866,239,677,322,129,780,689,550,852,021,029,495,024,518,302,
599,059,899,118,408,215,927,293,154,761,564,501,823,886,998,566,794,077,461,
025,328,467,936,487,136,163,235,014,552,866,622,437,581,235,444,355,402,792,
665,465,449,689,414,360,869,594,740,176,132,478,087,004,576,881,535,079,449,
899,635,827,093,307,964,924,352,786,290,877,309,218,789,952,193,239,258,309,
831,708,328,827,677,917,578,296,319,103,744,238,468,064,683,022,869,505,773,
308,212,503,076,486,169,529,778,316,850,305,199,610,090,844,586,179,909,560,
036,806,054,832,107,477,744,449,804,757,751,080,797,348,411,793,776,766,811,
940,114,525,048,160,469,309,768,086,137,605,782,199,489,521,554,091,630,451,
579,015,973,428,405,366,376,650,278,432,347,213,900,369,009,550,936,610,077,
459,174,636,406,155,887,821,491,669,499,485,911,686,964,902,710,444,203,198,
325,336,690,651,074,834,100,408,950,844,696,890,484,670,133,213,700,750,780,
908,439,344,180,930,871,384,388,509,386,432,002,997,277,842,382,086,164,469,
980,860,662,972,969,526,340,131,941,049,790,921,641,814,633,000,987,996,728,
621,171,383,282,996,627,213,427,684,369,332,947,856,249,359,987,571,853,394,
954,291,878,143,024,464,832,979,166,257,847,683,420,331,776,230,941,782,362,
599,415,255,981,228,191,198,142,676,219,851,290,561,930,433,612,039,488,166,
585,170,837,426,383,269,329,766,510,962,526,567,235,592,374,874,103,009,349,
936,031,778,947,648,249,893,332,177,603,755,416,771,478,275,918,961,343,411,
987,726,346,771,812,130,466,690,346,502,576,171,151,085,982,186,354,254,599,
510,869,637,071,254,787,301,829,168,787,878,723,047,408,969,458,496,099,855,
200,207,688,078,817,871,478,963,858,643,808,185,200,749,018,319,942,623,556,
900,556,945,046,196,752,976,253,394,264,788,900,159,937,158,671,988,753,205,
206,812,741,431,843,629,593,883,410,026,867,769,837,758,010,798,916,699,321,
254,128,021,859,284,254,145,718,171,675,349,880,879,243,803,352,509,005,205,
290,132,277,031,200,593,490,291,515,873,031,490,576,439,468,227,633,788,863,
817,943,886,459,898,813,610,129,711,015,220,650,274,953,798,331,937,306,111,
465,198,846,577,655,755,173,626,657,100,021,565,473,664,615,455,370,634,989,
091,251,620,053,435,812,015,128,468,608,510,294,434,236,526,675,258,438,597,
742,506,258,529,562,690,818,011,316,363,578,629,964,172,568,414,462,949,609,
036,018,364,340,915,194,860,988,403,988,856,452,530,698,511,457,083,838,243,
475,131,390,802,974,424,686,155,949,980,127,139,309,586,299,651,488,627,620,
087,682,883,593,491,022,767,709,508,657,512,475,012,758,151,275,487,831,346,
403,798,640,600,186,103,526,761,897,307,206,502,602,994,924,316,661,127,223,
848,569,033,456,913,454,787,848,826,178,093,849,829,114,932,753,892,400,647,
856,587,584,349,066,950,529,998,435,093,128,868,798,939,868,883,681,850,332,
075,977,961,925,639,459,832,470,605,413,087,179,333,685,452,401,098,526,440,
337,751,947,441,147,239,111,952,899,375,594,486,264,252,877,286,966,893,359,
806,783,558,494,569,321,908,751,187,454,969,220,064,444,601,576,579,117,004,
260,333,090,973,242,401,831,305,564,999,850,442,543,610,657,191,519,368,838,
121,067,811,369,962,489,889,234,752,755,786,043,216,212,219,876,318,582,039,
497,095,252,206,048,494,708,854,324,134,102,601,605,597,542,508,960,506,764,
330,976,531,275,246,214,257,164,482,606,959,696,847,686,591,776,067,774,410,
150,077,429,492,284,525,171,879,950,482,974,354,087,179,009,371,721,132,094,
657,129,929,591,643,248,543,654,519,449,383,255,206,722,654,280,848,546,531,
477,022,039,804,624,792,451,508,087,832,143,567,652,398,871,650,261,598,866,
888,492,095,810,005,960,911,610,672,328,687,055,932,165,772,303,802,891,469,
145,307,213,372,919,587,973,483,270,954,978,593,506,616,046,982,497,211,578,
312,011,453,501,323,787,331,571,783,140,221,678,419,432,932,318,410,156,120,
281,579,354,709,305,716,391,962,631,456,991,560,764,240,095,174,106,176,760,
610,582,973,487,611,491,351,641,081,269,104,214,456,118,519,056,833,263,518,
875,027,843,015,806,141,830,583,210,364,917,528,481,340,760,274,976,460,852,
174,396,608,986,665,720,995,410,292,924,031,615,991,029,156,509,918,983,954,
353,298,575,559,870,250,346,753,090,039,974,797,748,302,369,607,177,769,699,
953,194,767,256,283,751,792,143,959,715,607,840,339,464,372,125,538,766,077,
291,960,877,829,785,296,019,259,103,763,827,022,417,485,762,990,083,317,328,
507,882,869,118,776,486,163,403,218,956,558,878,734,302,233,180,507,342,446,
018,174,992,139,975,400,836,978,116,237,879,336,116,992,951,662,537,051,820,
320,174,784,910,314,368,863,462,179,726,936,704,151,790,952,247,399,886,023,
131,217,777,169,400,760,726,991,841,085,954,694,511,021,014,094,860,345,949,
033,036,629,183,049,885,357,448,749,958,793,980,107,259,830,641,750,318,069,
418,913,524,869,580,565,118,558,075,873,639,269,058,548,572,840,470,565,755,
373,800,576,783,825,739,404,029,792,300,459,509,860,069,403,799,194,763,551,
769,695,610,990,605,716,844,414,327,547,667,645,013,948,551,768,738,169,478,
136,476,435,487,304,434,803,458,584,847,101,165,914,649,907,393,448,280,548,
098,699,031,009,770,423,974,197,423,779,436,483,822,319,268,022,513,168,296,
612,063,913,682,818,565,087,560,339,920,338,359,386,457,356,712,883,439,058,
954,937,939,565,141,808,458,008,151,641,466,552,892,688,761,378,890,140,149,
976,690,580,482,054,370,126,774,524,999,329,592,828,424,899,350,700,619,488,
370,059,355,950,589,637,275,572,806,343,229,496,387,409,607,092,079,406,520,
046,499,797,042,533,060,854,529,343,984,949,740,854,595,304,318,558,046,558,
567,090,763,971,693,380,671,689,282,518,931,855,791,519,437,419,512,136,083,
886,192,104,629,720,118,728,422,174,709,939,157,641,813,824,620,757,426,112,
872,830,747,627,037,926,361,123,840,663,116,923,313,248,680,237,747,083,275,
366,385,791,395,195,486,338,650,673,547,005,955,368,206,483,606,018,396,852,
240,580,667,703,767,440,368,846,810,648,209,281,638,467,086,159,955,893,849,
690,712,297,327,287,795,951,288,653,417,352,054,101,673,077,554,256,524,730,
320,721,871,713,815,860,254,880,137,765,410,140,868,686,931,656,807,062,365,
298,247,164,887,976,665,520,162,423,108,326,282,402,353,995,173,236,046,356,
480,558,464,535,212,380,144,798,764,912,332,594,290,340,824,203,294,235,679,
959,560,868,320,279,715,610,290,091,385,582,445,881,686,168,892,999,687,738,
855,820,776,066,502,331,541,649,716,165,867,589,642,573,753,368,114,363,094,
526,867,480,765,215,939,876,975,935,883,291,881,546,766,425,908,208,946,950,
489,864,505,487,719,300,553,912,056,882,845,600,036,831,168,421,652,489,391,
943,923,178,025,687,925,349,627,130,509,948,624,449,678,470,078,894,303,364,
759,277,668,007,377,267,709,657,991,410,662,555,757,369,203,844,891,388,555,
533,156,786,653,466,353,748,078,972,262,817,201,106,954,336,430,940,781,796,
464,106,197,142,012,687,560,272,406,657,632,210,591,091,385,573,735,350,701,
892,671,151,985,702,153,914,538,597,783,261,802,001,654,413,528,965,267,159,
157,660,941,994,602,352,528,666,854,256,626,151,110,358,397,121,145,059,233,
316,066,906,090,874,711,999,943,638,602,849,475,798,828,502,556,512,511,295,
075,959,693,473,557,618,160,869,650,499,951,244,808,120,605,068,901,950,151,
619,331,384,982,378,805,331,786,577,833,115,648,861,878,256,689,671,260,888,
538,670,528,934,631,271,817,360,151,884,614,279,326,156,897,786,267,231,944,
423,528,972,421,640,509,687,626,248,946,464,767,623,733,008,315,337,033,237,
887,784,058,577,229,447,952,774,878,302,210,439,430,876,734,147,089,394,950,
271,058,808,887,112,847,515,590,459,975,827,362,110,782,724,273,390,943,075,
661,153,686,804,405,467,455,365,692,174,567,979,548,849,246,780,726,468,620,
371,975,362,809,643,769,832,917,771,966,444,661,722,131,296,178,017,530,336,
708,407,123,937,245,670,208,875,028,913,866,917,725,504,219,536,770,578,299,
500,899,104,985,558,717,798,754,979,837,157,929,468,938,288,747,420,752,022,
064,191,340,685,565,636,127,095,124,808,685,546,567,463,004,022,589,860,528,
429,389,401,912,594,080,912,552,319,999,529,357,648,452,462,372,178,010,267,
668,331,124,701,850,057,787,078,532,661,368,122,044,121,465,369,132,001,368,
677,142,879,892,335,408,884,291,210,690,656,665,986,734,581,673,218,622,723,
876,680,524,611,582,782,046,694,921,164,843,402,304,657,870,000,452,195,642,
078,262,670,452,104,151,875,925,351,070,032,491,397,803,476,989,285,498,604,
774,638,365,594,408,081,264,783,490,348,267,083,477,731,884,555,264,203,614,
565,753,761,929,519,979,469,868,406,793,304,888,008,272,660,484,775,471,150,
597,834,852,340,835,670,557,931,743,924,182,721,605,636,457,695,001,252,032,
012,314,168,230,133,539,621,291,875,804,439,311,959,818,587,183,896,876,435,
744,582,376,098,087,697,993,674,035,411,841,141,723,989,349,703,891,973,326,
969,408,237,215,781,946,640,432,105,991,274,055,792,543,752,656,971,274,372,
192,633,651,572,106,635,924,816,672,337,055,299,523,490,443,762,135,968,477,
573,284,891,376,929,629,309,014,446,033,273,601,751,654,854,732,106,185,043,
265,319,697,862,021,116,315,494,164,766,748,843,701,779,378,753,462,119,090,
631,312,659,823,515,654,206,372,476,983,231,882,160,491,331,949,518,720,364,
083,368,557,956,386,547,101,412,489,699,483,912,200,493,021,721,181,040,105,
590,479,772,499,711,507,118,180,913,710,309,020,478,945,024,664,618,838,671,
015,885,356,546,084,783,052,105,111,649,390,758,597,905,895,795,446,962,843,
917,280,566,170,195,281,215,487,762,992,505,527,734,975,269,492,034,969,210,
177,058,957,554,806,542,050,516,485,724,779,348,400,865,864,589,559,792,260,
617,085,809,993,020,474,669,526,022,450,009,190,180,279,515,721,701,327,542,
995,431,579,772,174,730,757,694,024,059,416,752,629,746,569,976,274,079,947,
158,729,138,208,492,342,278,877,955,462,535,435,727,465,072,899,215,493,934,
604,505,263,530,627,217,555,170,857,775,002,067,208,475,041,424,557,004,158,
362,761,345,746,923,618,238,734,360,406,000,922,859,679,341,967,102,937,413,
295,800,534,295,727,112,719,250,307,503,509,939,857,431,838,965,652,863,202,
183,294,185,766,499,720,543,810,818,880,905,744,606,563,567,486,357,677,424,
422,324,618,797,673,722,521,992,993,687,700,993,154,827,215,238,648,749,847,
675,080,260,405,013,276,486,660,023,985,736,878,433,972,207,743,688,643,512,
335,494,299,268,658,456,699,088,471,901,638,946,337,461,141,235,249,434,859,
113,083,736,400,604,026,782,382,795,347,105,478,806,493,325,086,346,369,184,
497,192,829,624,047,577,030,932,154,170,570,576,454,671,529,461,934,313,344,
730,592,647,074,858,265,810,328,444,449,527,084,982,427,257,031,913,402,932,
434,736,628,535,779,527,677,589,218,519,526,427,823,665,990,270,759,928,497,
351,370,998,961,838,977,559,018,659,479,006,937,637,735,844,032,214,245,384,
663,893,879,000,860,784,466,542,216,448,684,813,002,239,068,208,463,245,648,
460,436,171,490,518,929,143,893,170,068,292,976,672,004,750,256,055,847,533,
792,496,722,641,337,350,736,384,694,728,806,139,788,621,389,456,339,783,721,
041,169,176,564,960,107,871,480,289,935,434,839,156,368,480,067,300,703,222,
188,339,502,993,800,070,029,983,425,506,782,628,076,696,281,107,523,827,353,
221,270,038,703,165,921,470,749,559,338,736,949,846,384,408,194,338,992,027,
122,879,154,240,811,523,000,457,500,670,388,937,444,520,249,351,733,282,829,
942,388,604,556,312,280,819,233,483,053,029,482,216,878,062,435,568,135,419,
666,100,260,412,392,707,484,449,933,827,366,210,277,643,139,842,571,444,593,
035,839,640,615,770,243,107,723,151,688,080,013,782,662,800,112,854,895,000,
362,290,060,338,481,575,142,849,082,859,253,348,951,528,122,035,190,910,273,
932,211,169,696,947,113,208,930,104,910,365,725,046,285,953,942,115,524,925,
376,859,050,671,924,989,227,137,299,065,660,334,057,099,236,474,985,344,070,
631,589,962,530,607,739,081,068,951,383,385,333,753,104,816,979,404,538,001,
048,136,936,984,108,610,035,587,829,047,575,789,479,168,150,814,691,143,683,
456,148,181,462,792,367,381,300,015,059,727,855,859,725,749,434,540,535,900,
491,820,739,564,707,397,393,198,351,555,337,290,190,395,293,277,252,599,981,
525,981,330,561,062,729,214,451,191,778,984,539,377,078,239,940,665,410,929,
077,173,273,450,721,613,437,981,511,073,970,810,784,612,826,761,188,998,940,
325,683,660,783,131,512,498,659,032,254,495,745,448,558,193,536,151,687,736,
925,650,455,229,190,209,657,148,753,325,657,758,286,207,890,333,804,696,699,
144,800,881,314,658,581,687,152,205,377,734,776,880,935,203,098,070,837,980,
817,032,942,624,579,327,991,416,576,329,668,060,899,725,646,776,233,981,648,
590,950,207,334,905,061,313,351,200,712,944,123,391,317,640,359,308,920,476,
494,895,734,183,280,347,965,095,846,551,062,760,767,443,311,420,620,972,800,
583,113,360,495,865,902,988,040,922,058,868,663,490,365,123,041,749,060,674,
288,117,036,487,087,167,758,115,378,598,417,608,917,620,934,214,760,447,132,
818,630,587,594,168,122,827,765,860,694,396,241,251,730,682,854,862,025,907,
507,703,487,462,799,401,293,291,719,349,872,464,006,997,014,374,502,806,301,
465,560,853,519,450,254,170,050,298,045,126,719,317,461,797,557,058,996,057,
280,227,807,243,536,345,287,113,697,497,194,566,685,980,176,825,331,611,423,
662,321,622,964,821,243,320,338,032,171,120,215,003,870,988,202,803,939,763,
496,873,841,865,932,190,474,742,959,978,325,210,760,068,771,528,799,641,259,
934,344,367,808,005,517,815,551,692,733,358,067,561,124,719,423,440,389,486,
935,067,177,905,794,152,646,848,871,110,371,202,100,874,995,323,269,482,851,
762,653,556,505,958,211,323,256,636,596,463,831,071,363,621,365,984,784,461,
440,705,219,793,543,686,517,563,125,229,419,816,894,737,246,310,288,119,203,
212,537,909,663,780,240,140,701,147,113,124,357,299,041,627,834,843,681,611,
309,798,518,507,833,615,781,285,473,884,174,228,387,585,247,977,792,007,737,
434,408,504,278,929,643,407,899,211,878,943,244,553,666,173,067,547,322,168,
724,521,822,953,702,019,894,274,760,976,137,966,127,200,982,816,293,475,616,
693,899,334,458,251,620,487,104,364,700,303,704,449,063,658,850,605,684,050,
376,076,799,351,840,484,371,002,164,560,692,560,047,227,044,365,062,323,008,
271,724,525,746,234,110,358,080,857,088,304,708,816,553,693,202,142,248,054,
491,956,698,942,447,420,099,795,492,739,023,640,764,527,035,108,384,717,185,
810,885,906,038,984,479,558,697,560,365,789,626,620,165,360,740,702,528,699,
075,373,787,121,152,441,473,051,212,470,053,762,140,761,692,105,614,855,193,
342,310,983,578,927,922,776,551,148,570,171,129,394,012,341,159,830,369,375,
169,104,660,980,668,271,906,859,747,606,336,662,581,071,969,642,390,879,638,
954,845,656,613,540,901,921,542,324,569,808,999,854,609,931,974,898,760,082,
654,755,924,510,139,381,351,297,351,225,737,053,026,662,189,114,126,824,845,
271,804,961,742,110,299,682,136,246,203,322,382,951,369,595,831,238,611,119,
603,517,315,979,575,215,337,633,451,229,420,920,571,444,765,001,280,365,110,
112,045,709,153,292,651,773,502,334,143,829,146,677,526,385,227,452,183,885,
674,373,823,651,753,241,462,387,952,040,843,298,574,594,927,979,283,367,051,
389,801,378,052,366,470,229,842,306,535,762,476,119,920,957,820,475,669,589,
786,063,462,103,396,739,265,806,848,953,985,213,821,662,090,593,230,591,679,
729,987,888,846,857,973,694,239,326,930,352,813,864,592,025,509,779,608,218,
182,486,884,349,011,743,651,046,603,987,611,912,449,607,388,359,507,006,213,
035,950,749,590,662,695,146,814,437,393,019,890,219,397,033,447,943,042,333,
032,359,928,344,669,205,793,742,794,134,015,890,678,821,812,336,969,587,383,
979,245,812,012,469,499,598,697,929,047,088,572,727,572,498,803,579,391,861,
670,120,237,243,942,352,609,488,263,543,491,040,252,329,324,005,735,153,658,
484,489,768,828,148,895,108,298,455,670,162,311,887,867,483,594,585,680,963,
754,161,854,814,377,466,957,510,802,417,282,728,035,741,381,060,097,717,737,
140,930,038,770,472,169,134,621,973,013,842,343,909,018,607,425,957,806,057,
353,018,883,988,001,869,935,732,111,153,938,220,778,436,020,955,310,100,747,
698,680,859,094,113,742,786,698,351,251,521,060,066,436,541,653,458,050,520,
923,586,977,908,263,148,425,561,093,227,160,113,720,045,413,231,528,196,145,
558,305,096,413,891,696,213,588,347,088,734,627,602,329,369,767,359,992,303,
243,128,083,065,985,716,627,455,723,417,660,717,037,069,427,433,448,003,602,
246,275,307,977,351,760,971,270,980,799,680,706,552,356,171,205,695,311,668,
958,323,005,647,905,601,227,750,800,189,715,949,392,860,163,496,347,221,576,
042,239,391,674,667,878,946,109,336,104,259,199,490,260,832,810,248,488,420,
881,251,806,031,721,430,669,193,183,413,091,816,123,598,878,358,388,660,384,
185,491,094,963,303,725,164,663,551,757,427,309,125,785,564,824,847,875,303,
024,638,799,403,355,022,708,581,140,207,198,090,250,509,981,548,462,342,097,
167,575,010,394,202,769,713,603,566,659,998,468,946,459,207,312,755,793,591,
895,387,952,926,452,808,833,374,572,824,603,046,092,281,320,246,159,290,245,
007,921,170,378,742,548,816,810,275,875,791,278,218,143,731,409,960,382,599,
367,879,440,670,448,195,057,984,994,675,420,773,201,485,282,010,219,880,401,
069,807,979,536,501,444,162,962,323,458,917,596,235,246,493,869,952,440,106,
481,246,436,015,345,625,117,969,482,317,081,696,653,873,211,533,119,566,826,
947,387,577,697,350,952,306,210,077,207,301,320,613,898,502,581,997,705,227,
356,607,907,440,920,803,491,952,639,251,240,808,174,537,515,937,818,287,642,
790,486,665,945,716,457,933,164,138,675,451,817,649,562,532,360,849,395,583,
281,382,150,394,823,297,795,653,702,603,875,202,826,077,818,159,580,137,927,
500,581,064,765,356,889,059,825,261,910,422,425,249,830,411,551,398,921,359,
627,871,964,129,076,676,763,629,733,560,791,179,871,420,190,498,196,408,310,
115,935,667,693,065,490,213,644,348,297,933,707,500,907,653,564,396,586,897,
878,029,945,391,066,175,129,673,622,142,301,849,780,828,525,846,756,945,606,
261,038,848,846,962,941,509,887,964,124,824,661,559,403,255,098,852,580,717,
136,805,598,229,128,524,843,027,357,466,442,913,161,645,162,861,736,266,307,
049,804,093,476,834,537,672,688,345,288,375,313,248,699,016,935,975,350,211,
399,825,289,435,420,621,885,297,133,653,664,831,759,142,946,547,194,716,471,
720,174,933,944,808,955,334,354,205,917,768,276,996,054,434,800,286,274,948,
091,470,585,371,932,793,894,705,410,312,565,696,331,937,094,668,550,052,805,
288,000,987,700,426,378,840,473,464,834,037,619,811,229,656,646,403,855,204,
294,630,498,287,405,563,834,315,684,510,131,999,034,342,534,469,920,947,445,
671,940,381,898,349,352,997,130,118,976,273,116,153,165,139,559,951,177,624,
990,218,403,640,920,965,319,963,370,984,524,464,438,499,283,843,437,371,901,
265,179,654,521,544,008,468,685,479,664,907,346,819,882,315,459,243,283,819,
139,053,933,848,935,663,899,406,189,534,620,581,311,569,908,331,800,792,213,
891,109,164,760,135,944,045,902,088,531,502,381,112,282,411,355,313,845,857,
401,778,676,375,971,364,872,605,625,077,674,567,534,817,912,876,440,339,353,
035,378,749,556,898,638,108,698,003,963,801,368,632,910,462,936,216,285,936,
772,379,665,921,228,422,988,594,977,113,089,740,230,216,306,441,034,910,019,
723,625,914,514,035,636,716,749,510,289,871,755,878,683,178,289,666,521,691,
985,055,999,030,311,409,112,635,483,285,332,078,792,592,581,858,113,595,733,
954,179,645,697,389,125,845,426,147,215,746,366,898,309,954,942,940,704,451,
520,827,225,564,839,886,319,348,401,004,940,850,273,945,976,202,311,023,015,
731,065,370,589,661,462,439,827,261,321,223,537,053,037,075,228,314,810,043,
269,078,668,263,438,385,869,611,054,841,310,890,805,462,255,272,237,081,146,
395,948,635,536,450,476,721,835,644,502,374,169,048,292,849,373,351,684,791,
456,295,286,714,511,030,881,371,285,079,264,691,801,580,053,357,916,440,696,
934,890,120,896,676,853,617,504,753,430,752,314,711,549,582,046,481,172,027,
907,674,951,296,370,544,433,896,243,917,320,560,252,703,341,702,693,516,844,
931,576,226,001,331,157,816,381,238,089,247,488,735,821,731,132,197,609,862,
039,385,719,520,942,879,735,521,845,455,255,132,688,083,100,251,930,859,263,
534,306,594,439,017,118,402,544,793,128,361,958,040,597,722,223,747,973,625,
496,964,985,805,661,897,769,867,671,686,099,561,744,265,769,156,022,022,571,
970,880,427,033,506,829,903,084,011,936,179,629,695,708,718,675,365,388,979,
110,422,462,599,756,180,167,075,401,524,654,770,490,672,805,760,321,623,786,
930,330,178,451,255,353,043,971,619,734,069,472,146,258,726,549,231,717,738,
318,787,424,031,410,750,732,754,651,111,844,539,612,451,545,191,893,588,158,
595,552,531,665,297,992,971,198,238,553,698,584,953,609,162,752,322,087,494,
293,835,648,054,329,617,624,653,881,038,510,439,673,335,183,034,709,114,085,
439,868,037,402,963,444,592,256,731,388,625,161,884,307,753,754,362,630,233,
156,463,867,704,086,823,237,971,389,210,575,997,135,719,964,784,188,257,416,
485,803,897,014,004,834,969,124,583,524,782,252,617,702,205,911,964,257,667,
508,281,150,828,281,311,733,387,457,594,190,762,727,709,991,239,253,048,197,
072,944,738,350,166,441,486,945,920,268,914,291,263,561,258,073,462,528,345,
146,133,220,112,824,010,393,059,533,957,006,409,843,194,684,243,030,915,714,
571,314,798,683,269,676,341,503,807,911,309,868,224,685,931,824,308,063,654,
671,950,698,666,289,113,857,326,462,546,513,694,932,381,053,213,767,728,239,
423,567,719,550,946,781,072,488,323,655,678,716,420,410,657,021,549,117,391,
344,713,337,939,401,649,251,272,496,575,478,624,529,530,114,924,821,446,712,
135,426,733,696,151,015,659,974,084,420,263,047,651,106,901,844,245,814,307,
634,790,745,751,096,329,054,439,963,701,135,663,630,595,777,074,489,428,076,
690,527,720,398,427,440,248,174,993,423,987,192,611,928,268,621,413,904,526,
589,376,313,649,652,109,029,098,194,671,211,451,901,965,600,757,032,573,160,
039,796,305,713,078,568,669,351,983,360,497,137,053,081,519,709,815,088,906,
475,307,969,166,597,853,320,805,749,813,730,022,579,232,645,257,144,428,372,
794,894,935,027,315,070,145,711,330,052,891,339,495,437,823,289,457,881,082,
930,316,342,439,160,501,033,140,187,758,820,542,255,632,250,690,642,867,720,
716,655,983,442,998,229,521,178,353,383,239,461,751,630,768,387,271,685,937,
102,967,777,592,642,873,093,317,471,754,114,956,077,112,212,646,225,850,640,
716,381,634,625,546,951,011,130,090,852,595,610,781,854,918,082,963,559,909,
748,417,051,375,470,216,007,674,263,890,799,950,930,071,036,837,395,630,838,
867,196,252,652,581,368,645,483,940,035,056,751,610,630,841,279,376,443,132,
782,593,536,043,063,432,229,432,315,496,321,985,986,072,699,469,875,169,668,
921,638,708,323,191,843,671,870,236,150,500,368,728,743,963,785,626,733,113,
879,005,242,286,033,972,789,000,794,133,015,004,141,066,240,355,982,388,594,
251,950,741,450,139,056,572,934,048,181,639,325,432,520,070,458,990,771,675,
143,694,994,888,125,726,212,430,881,634,313,963,107,507,128,541,266,721,061,
012,884,666,196,394,413,004,221,391,641,862,737,614,812,632,435,401,235,470,
492,854,061,279,754,448,521,940,609,665,783,402,843,300,661,063,912,352,030,
567,077,401,275,119,371,479,208,400,515,925,617,626,149,618,170,213,296,486,
589,643,511,280,539,117,627,465,585,541,442,542,468,316,419,064,128,142,821,
580,217,599,921,584,826,327,152,350,559,204,154,183,262,879,244,758,628,188,
378,461,912,282,672,103,094,649,817,966,440,152,166,768,305,019,587,367,572,
591,471,201,125,362,515,911,338,869,551,954,567,691,307,040,591,278,419,248,
375,820,535,905,080,587,499,613,295,051,404,006,693,452,745,756,242,268,898,
628,383,247,615,611,622,755,922,638,554,162,582,943,198,758,417,589,585,180,
532,897,742,160,550,497,073,509,270,056,036,239,980,501,340,521,093,459,937,
472,719,011,273,623,760,153,646,163,293,754,257,962,670,595,410,865,360,292,
957,060,545,668,098,561,237,200,804,341,257,698,721,595,661,456,379,315,804,
434,767,194,471,226,289,142,566,971,232,864,793,415,376,302,999,314,410,033,
536,985,665,416,167,531,031,741,148,842,706,814,419,679,830,434,530,173,143,
175,691,985,634,061,121,754,426,294,608,865,134,748,686,210,232,344,375,476,
473,352,900,549,453,275,867,850,379,298,961,361,468,884,552,738,137,416,696,
198,465,868,196,737,918,894,681,186,668,791,096,546,641,976,330,159,208,949,
227,295,127,359,895,116,835,601,657,591,892,917,998,202,058,001,193,660,088,
398,061,968,855,506,835,441,178,708,812,403,918,347,506,228,090,488,805,432,
726,366,952,115,857,935,356,581,848,073,834,046,375,750,141,438,525,663,659,
370,649,853,394,030,993,678,521,785,960,151,832,200,565,729,761,363,031,324,
212,510,601,226,841,616,521,309,191,543,706,374,785,674,513,780,840,998,312,
185,378,650,295,448,932,352,999,717,813,441,608,856,255,984,047,661,016,340,
563,506,374,964,803,833,278,581,687,023,128,415,818,245,920,931,662,486,060,
395,014,398,327,798,727,654,256,235,064,778,907,550,452,584,763,172,268,833,
332,830,833,266,355,091,275,335,600,606,622,634,728,318,077,810,450,946,320,
498,511,669,335,140,547,502,674,088,580,799,628,099,649,865,011,982,904,319,
612,164,329,244,946,542,281,549,201,179,190,652,909,260,401,629,069,184,097,
594,418,374,341,414,777,841,038,843,251,101,527,406,607,046,855,591,337,984,
022,948,261,028,085,197,785,311,724,112,232,739,709,254,832,809,316,879,762,
419,313,400,731,119,325,023,623,877,172,879,785,239,470,016,999,844,172,459,
422,597,091,110,630,061,350,762,483,681,549,653,824,305,233,964,064,548,257,
449,187,231,470,624,880,548,459,494,879,727,283,507,403,355,711,954,867,947,
338,566,681,343,596,310,837,718,060,309,465,613,432,715,149,372,875,307,182,
288,482,459,142,587,185,245,071,596,866,579,860,563,570,782,146,760,809,133,
734,432,104,658,858,966,719,511,760,668,552,139,873,036,636,698,320,854,372,
115,644,280,096,541,491,899,568,177,373,516,189,676,486,530,223,344,049,935,
915,915,823,547,244,154,497,774,267,951,086,806,465,696,048,920,275,283,066,
736,022,150,532,309,916,833,980,212,834,895,600,586,477,280,619,484,990,898,
472,434,380,305,901,993,350,479,972,535,555,828,803,773,318,609,059,855,111,
524,222,294,456,756,408,465,189,265,825,049,034,423,245,839,174,057,916,404,
465,770,094,307,134,681,604,798,680,386,883,240,035,871,806,745,208,028,041,
966,868,824,807,283,439,038,996,542,576,674,030,873,287,067,608,197,666,362,
356,157,342,736,818,409,772,619,509,375,687,179,716,083,399,537,051,781,912,
364,508,764,143,918,120,039,330,774,605,449,361,644,447,571,580,238,493,419,
207,403,719,955,892,593,505,084,048,023,166,541,712,273,805,699,534,958,470,
290,624,368,327,077,244,268,784,860,318,313,155,632,727,362,240,932,970,937,
206,177,869,291,065,154,986,229,736,604,989,153,647,084,369,299,407,674,124,
197,010,471,722,587,813,570,082,199,386,088,034,995,547,181,331,498,229,320,
967,560,146,493,438,894,342,513,281,385,483,508,928,691,394,028,777,780,191,
468,535,624,822,583,667,889,464,008,126,104,878,386,474,843,100,995,682,204,
239,588,185,182,512,389,985,021,829,459,479,415,333,664,809,129,622,826,284,
529,675,988,284,141,299,033,828,151,156,986,216,657,006,466,988,010,730,167,
673,887,931,113,897,893,443,434,613,541,184,260,684,340,629,711,438,427,698,
785,483,216,743,916,855,341,615,661,392,710,675,153,322,601,182,237,810,504,
517,837,901,220,658,311,641,991,551,269,216,695,521,187,410,973,667,647,625,
309,039,915,622,126,546,220,932,520,356,212,559,954,380,045,817,930,205,423,
327,170,391,382,930,388,487,860,771,610,877,661,959,924,359,107,990,358,444,
066,674,518,083,256,110,432,255,949,235,438,764,574,587,268,544,519,741,582,
954,094,419,140,484,508,138,125,991,775,209,668,277,663,138,853,552,384,195,
332,937,543,475,550,806,288,525,767,858,868,197,296,102,356,976,636,591,433,
126,112,347,722,070,051,374,732,765,401,916,092,088,785,942,383,114,283,855,
615,742,469,725,869,985,588,110,504,653,315,477,211,852,477,115,776,372,596,
122,156,831,045,549,652,320,450,581,916,241,282,691,371,012,284,627,373,473,
194,532,380,578,975,849,922,723,486,314,898,459,535,215,074,639,978,338,363,
361,631,935,622,827,763,539,754,724,418,844,693,370,098,237,157,322,142,489,
096,898,359,655,759,812,260,506,235,477,720,553,933,095,282,178,583,571,442,
487,257,599,098,631,873,078,332,529,629,737,960,781,509,706,412,121,836,487,
864,567,330,638,832,322,898,539,570,085,964,871,741,131,822,254,831,151,368,
373,913,279,061,479,609,511,724,985,602,962,610,016,301,586,370,716,674,169,
943,395,810,379,437,637,385,798,275,850,317,410,126,709,125,320,564,680,713,
007,944,366,791,607,968,312,508,802,578,770,047,020,194,252,613,172,246,762,
662,729,243,822,951,694,453,130,554,405,136,909,110,570,175,397,897,931,698,
180,003,225,896,842,698,066,930,754,166,921,194,846,591,102,498,058,376,440,
805,956,067,703,037,548,778,420,719,121,342,284,073,200,651,040,595,515,053,
581,744,450,628,430,322,984,267,634,692,872,615,973,116,262,970,703,159,105,
644,065,552,976,346,766,676,527,840,625,563,938,552,551,017,615,413,497,951,
073,885,796,470,697,169,501,551,479,327,170,021,844,610,392,613,643,979,849,
338,087,912,225,626,871,349,141,332,124,340,909,268,828,366,835,207,536,287,
830,369,494,260,197,393,096,733,096,410,648,600,148,569,463,429,200,836,897,
182,302,752,826,924,745,863,239,563,110,667,941,077,898,262,061,734,571,305,
894,700,176,893,290,056,056,549,020,732,166,056,050,878,771,809,587,224,325,
832,827,846,026,908,827,883,016,076,017,561,403,375,071,655,324,868,600,430,
759,676,272,301,187,741,314,198,990,389,069,080,741,614,048,319,371,975,342,
168,713,749,517,425,538,968,097,108,795,790,061,655,069,814,030,829,830,039,
483,781,219,250,128,321,221,332,818,884,055,107,594,193,345,492,921,685,801,
007,350,952,993,436,860,476,820,760,563,038,992,565,927,133,714,297,255,166,
272,960,281,710,809,543,209,925,126,222,703,894,270,295,401,635,989,679,615,
620,433,842,161,603,963,197,737,534,987,537,221,717,585,644,183,757,070,571,
697,302,928,575,910,754,493,987,825,157,275,734,749,256,802,310,233,509,619,
199,452,392,813,709,979,804,360,666,483,685,138,016,893,006,819,645,414,760,
750,121,224,273,581,845,644,970,726,416,113,435,159,992,263,884,520,241,011,
185,806,662,286,682,925,655,836,162,159,899,222,274,930,685,498,824,915,664,
971,857,679,186,641,280,580,088,388,637,474,497,294,309,100,373,487,659,169,
561,906,310,131,342,099,924,547,322,445,435,417,151,394,502,293,760,358,427,
903,025,447,607,801,784,241,508,032,453,199,384,900,535,538,543,759,952,915,
780,553,211,853,709,867,038,290,245,754,880,312,373,878,200,086,272,882,781,
555,983,422,804,227,787,756,117,419,579,803,072,025,519,620,761,706,961,449,
530,904,097,009,367,658,174,821,947,012,103,835,405,056,788,656,522,548,585,
559,242,322,712,406,090,356,709,777,405,226,211,456,428,262,105,692,916,142,
493,518,853,180,654,350,408,355,744,620,116,280,877,553,788,636,445,805,742,
298,286,622,826,424,574,338,396,488,526,786,532,037,406,156,117,477,394,486,
499,464,772,049,172,273,584,213,167,144,770,078,166,190,172,217,705,677,573,
163,742,673,631,743,016,347,869,515,367,743,505,068,111,635,138,629,684,266,
736,643,260,403,273,594,453,464,055,839,803,780,884,420,167,075,888,204,545,
724,882,718,119,037,735,253,439,434,793,736,054,678,151,053,122,292,205,071,
759,240,083,237,422,972,864,150,378,655,520,168,903,002,650,909,930,010,237,
827,518,478,351,861,104,685,901,489,675,271,629,733,318,072,850,343,426,023,
545,228,854,782,557,493,205,398,651,684,844,854,113,263,876,208,412,581,123,
620,354,936,466,747,242,078,409,577,034,203,033,261,094,763,865,310,336,690,
459,772,923,999,151,644,975,280,877,899,897,177,287,639,849,490,925,748,585,
598,557,397,471,183,221,161,046,487,594,663,495,785,870,560,121,935,296,772,
026,472,036,594,366,091,485,142,057,381,810,913,892,530,125,467,888,203,495,
415,064,146,621,106,048,429,944,751,026,247,895,143,932,475,644,085,590,623,
442,802,334,435,546,992,978,349,376,414,832,843,003,777,040,137,311,695,814,
103,368,698,637,636,252,202,343,263,701,264,727,212,863,192,217,438,609,651,
535,889,227,139,674,666,667,037,589,738,939,383,687,936,416,349,980,959,564,
767,571,427,404,738,257,382,041,896,941,976,522,861,307,279,381,692,499,866,
735,933,197,282,217,435,038,397,855,489,410,150,980,335,466,915,630,667,673,
551,814,177,288,330,263,737,097,681,347,766,210,752,764,900,181,916,307,944,
618,990,863,725,689,477,663,637,634,407,420,228,476,963,919,058,908,539,407,
509,070,269,182,787,237,957,625,532,499,949,264,359,947,991,559,233,714,204,
595,819,045,222,910,483,013,188,611,273,126,085,818,053,478,638,221,232,808,
744,424,110,281,257,072,737,866,187,388,358,617,031,078,007,709,387,841,939,
547,413,538,199,246,081,882,531,114,059,747,174,533,247,476,034,497,723,738,
372,918,507,682,838,155,442,094,393,220,978,334,103,244,749,517,579,311,175,
036,849,384,721,278,138,402,799,174,679,326,207,925,308,756,657,207,533,394,
193,651,828,101,921,371,485,951,098,667,989,442,930,572,652,301,724,278,931,
559,807,400,674,488,179,045,172,500,178,401,918,023,382,618,096,347,218,573,
010,290,479,095,342,064,717,767,416,806,812,686,875,130,207,774,065,863,462,
117,606,498,566,235,908,260,267,646,571,120,204,243,125,125,740,116,300,537,
584,077,069,352,116,852,084,657,789,172,322,052,148,680,403,309,742,061,045,
593,448,162,430,142,996,402,839,823,538,951,480,702,086,752,444,355,013,687,
582,481,726,982,936,546,541,558,229,210,823,462,651,403,593,276,602,960,045,
044,839,824,353,588,038,790,020,371,543,378,475,462,228,620,685,327,269,960,
454,738,167,748,034,801,288,341,882,073,641,293,475,184,357,785,817,686,470,
463,702,236,806,158,745,162,587,377,110,419,116,857,826,105,918,081,164,186,
201,431,994,675,439,679,181,990,710,822,359,030,691,246,572,007,397,010,064,
523,144,190,333,579,953,154,052,271,589,474,903,516,024,446,967,948,387,622,
345,413,780,085,559,527,659,431,161,776,357,676,453,970,101,881,467,038,226,
942,424,772,988,554,036,296,622,015,505,443,125,187,040,656,659,745,933,297,
016,915,413,708,279,897,056,556,294,555,053,513,679,254,249,956,184,242,120,
132,765,906,260,200,349,905,886,377,591,796,237,510,677,801,790,612,203,843,
877,982,971,581,474,750,626,155,972,498,362,322,558,869,071,401,163,671,494,
742,024,548,873,498,618,301,035,356,757,606,051,081,115,033,556,570,091,237,
121,923,225,591,205,057,456,346,972,864,789,077,942,914,001,849,322,023,662,
206,398,297,398,036,558,235,860,499,238,752,465,701,735,750,291,291,653,045,
287,146,540,604,055,568,908,224,883,715,818,242,597,200,324,914,088,611,767,
534,529,189,490,306,173,460,589,228,279,432,748,742,888,766,378,879,966,337,
923,471,562,168,355,559,416,118,430,455,137,735,028,042,448,686,570,419,022,
617,078,657,041,940,537,108,936,761,341,362,974,674,789,991,434,776,614,369,
694,197,476,457,299,820,995,086,413,132,194,707,955,627,692,575,895,427,579,
533,198,031,594,811,647,332,907,827,572,859,139,445,309,803,466,522,800,526,
150,039,673,570,347,568,579,819,975,238,631,464,270,005,191,204,697,776,376,
451,641,320,849,267,655,750,113,879,594,317,409,924,214,388,944,607,642,881,
905,015,064,765,577,816,819,820,752,400,473,865,769,793,852,697,085,449,932,
095,664,372,580,663,035,762,804,254,602,470,891,270,349,793,308,827,593,510,
382,265,569,215,908,619,388,488,438,188,100,139,507,528,201,392,078,300,741,
856,448,425,165,821,015,232,373,677,534,428,883,758,157,490,098,021,800,179,
404,611,034,549,618,317,637,926,915,137,267,709,031,773,063,792,370,167,246,
871,287,193,421,634,540,711,697,843,511,944,104,608,733,570,510,291,133,581,
407,602,245,302,032,496,254,974,819,206,100,314,957,847,874,651,512,095,827,
271,644,673,061,450,677,734,016,158,507,983,302,014,451,950,269,302,886,244,
104,007,139,821,649,099,502,163,791,907,221,526,439,118,611,617,188,727,405,
590,283,912,883,465,808,180,466,082,218,856,753,664,564,393,488,206,725,502,
030,561,365,825,701,021,145,837,577,415,482,941,695,054,371,514,548,955,272,
977,230,607,589,944,375,870,909,008,017,661,762,882,788,067,849,717,362,094,
684,626,509,527,718,282,508,956,028,835,960,391,361,280,318,171,203,027,827,
386,337,939,380,733,130,123,605,670,179,281,411,955,782,262,650,515,972,741,
106,379,158,243,745,143,085,577,519,094,240,805,462,387,554,933,557,947,138,
023,782,308,368,106,169,453,442,613,651,128,003,557,821,062,591,225,873,541,
685,461,399,358,571,458,014,166,089,873,077,053,402,837,417,255,541,200,147,
173,171,606,834,055,709,216,061,961,307,301,546,736,193,711,870,528,691,990,
686,576,482,519,775,723,116,400,919,279,060,079,083,166,504,495,814,096,188,
692,337,959,337,808,885,456,328,856,415,483,649,080,033,013,643,553,012,878,
004,107,094,828,836,281,456,358,041,333,997,043,866,602,968,962,100,256,967,
101,766,648,851,297,290,299,476,985,202,296,477,266,922,000,119,934,674,796,
908,225,906,065,601,899,216,602,272,179,711,906,040,247,701,138,072,891,042,
819,417,120,174,458,782,463,689,288,672,227,920,741,759,830,430,058,402,962,
298,722,671,950,203,001,822,951,361,089,622,013,073,086,354,943,910,082,690,
885,689,554,628,370,004,282,176,118,783,566,520,127,967,981,934,361,449,855,
524,055,399,417,765,518,893,726,677,530,897,440,359,057,086,095,892,532,921,
604,174,298,963,677,030,103,699,862,788,415,321,337,291,184,217,323,784,813,
268,492,150,949,432,363,890,496,083,650,700,986,269,571,389,395,893,451,951,
634,910,846,244,402,351,204,989,899,688,051,432,421,680,122,650,074,438,294,
952,655,333,083,913,899,470,619,356,348,944,079,198,709,781,788,505,862,743,
088,512,357,183,630,209,449,208,904,109,092,687,600,326,895,927,740,544,937,
388,723,717,258,607,504,398,549,169,962,323,686,851,175,272,716,289,528,106,
806,334,765,635,035,925,311,507,899,726,881,097,287,649,667,504,014,562,740,
024,539,052,297,807,640,839,350,855,736,122,719,412,450,142,955,713,560,486,
998,639,725,013,161,371,899,982,896,524,844,583,764,192,277,108,124,037,685,
438,199,699,334,198,337,303,466,250,922,925,347,870,720,411,363,373,685,854,
822,359,046,890,529,284,605,885,432,464,671,993,164,805,904,896,739,212,327,
796,891,360,808,522,317,431,225,950,945,100,731,280,534,057,213,599,444,709,
045,991,882,382,053,483,675,676,535,285,602,440,833,042,374,707,270,965,000,
587,410,707,539,075,754,048,001,524,915,423,457,293,731,917,684,363,616,639,
270,533,170,464,641,177,936,875,335,031,519,409,582,863,393,580,244,029,201,
799,752,326,587,372,812,533,232,165,284,866,393,664,383,325,829,298,446,705,
060,712,645,730,987,270,096,216,464,233,395,916,252,662,351,605,670,928,924,
204,098,598,425,103,074,287,416,580,339,608,160,625,139,980,566,345,773,002,
041,121,208,356,312,866,219,046,703,426,692,994,668,597,181,270,646,172,459,
278,728,980,341,404,583,322,650,013,622,801,326,106,217,360,220,420,226,516,
457,863,237,214,657,492,123,029,222,459,284,873,095,558,054,370,276,233,508,
631,226,663,575,958,938,434,928,061,944,802,775,427,958,085,111,256,093,497,
859,570,221,338,873,534,628,948,448,280,849,935,256,523,325,375,166,361,969,
098,712,350,556,684,249,126,594,731,210,907,231,760,862,648,832,065,569,537,
653,482,284,187,626,459,262,697,453,925,124,454,631,182,460,868,229,867,140,
125,205,106,541,889,165,243,696,640,815,445,651,998,222,226,965,339,178,738,
142,614,410,071,551,678,433,871,285,407,282,187,639,322,930,352,625,606,903,
977,800,866,501,428,653,554,038,804,546,554,006,707,772,969,510,922,288,266,
050,236,391,520,509,287,261,025,035,742,975,326,372,223,032,095,218,050,334,
067,608,947,037,339,610,450,738,881,616,465,654,799,492,053,754,215,947,306,
049,553,102,885,033,677,932,383,940,729,032,596,707,035,640,796,321,906,647,
326,960,994,957,928,525,055,817,392,217,145,936,015,658,913,298,683,763,670,
709,235,012,089,342,786,610,255,921,044,438,900,558,364,694,466,843,015,587,
365,616,020,641,232,844,797,292,219,223,098,538,106,940,862,523,953,720,726,
437,546,925,411,931,622,855,744,237,422,116,192,965,652,661,507,795,693,657,
310,510,441,446,156,129,945,339,057,445,185,857,695,177,730,943,885,407,820,
408,204,487,629,054,297,785,999,762,069,106,109,065,434,454,801,814,207,949,
227,020,206,414,938,355,083,248,846,347,323,600,849,534,343,254,708,235,067,
345,299,650,395,711,653,052,406,564,845,271,884,298,922,645,567,343,968,547,
118,885,642,988,403,457,198,684,033,824,557,434,530,259,739,135,470,327,301,
774,964,142,894,714,610,354,425,593,234,508,053,967,842,162,412,995,257,325,
071,415,813,488,907,508,507,373,426,906,227,179,878,346,052,296,124,113,698,
926,108,293,994,076,969,824,643,160,398,325,508,652,793,983,214,818,515,851,
851,754,118,147,284,727,846,793,813,227,903,939,765,363,824,467,399,689,494,
524,877,136,140,795,607,662,493,807,810,994,168,277,423,743,283,622,636,759,
218,825,021,011,766,851,502,561,978,099,467,609,647,310,148,877,214,625,010,
624,369,734,643,761,527,861,967,665,055,505,932,433,338,601,947,371,298,059,
757,057,859,739,212,792,853,766,693,776,960,912,841,004,944,391,615,965,503,
832,265,439,269,066,174,688,126,424,323,358,286,721,428,099,363,216,837,117,
400,353,638,000,595,533,564,538,007,596,458,545,247,539,559,900,395,032,757,
509,078,632,497,725,764,346,577,381,556,412,350,746,023,414,906,315,566,768,
823,130,090,638,474,640,923,675,876,135,274,102,970,344,913,094,805,983,339,
583,738,753,105,890,616,393,114,309,781,297,856,532,973,933,325,666,003,326,
853,883,348,623,494,265,395,929,546,497,802,739,686,464,917,057,922,851,371,
009,865,629,263,028,422,692,932,205,745,782,087,749,953,465,211,316,728,072,
602,725,144,005,544,026,777,417,798,760,616,950,918,168,940,229,099,533,237,
729,000,747,660,575,105,828,261,887,617,823,890,456,289,633,235,897,098,699,
355,932,668,927,681,791,267,609,435,042,736,137,499,998,875,598,771,920,986,
922,472,399,657,353,502,003,536,851,787,491,642,904,373,407,286,230,766,912,
635,432,023,678,900,887,254,717,570,715,055,148,347,790,201,433,758,906,797,
517,481,541,563,130,832,866,947,588,415,930,096,062,151,169,297,067,748,691,
165,090,794,603,150,177,070,612,853,157,335,271,061,842,610,230,100,803,020,
886,940,957,986,931,009,276,588,451,886,604,882,721,404,506,310,100,917,389,
771,706,187,747,293,752,838,279,850,542,697,798,137,624,186,917,014,589,448,
046,486,025,343,613,081,037,241,524,463,237,258,524,171,402,396,726,493,398,
110,889,998,624,571,753,252,608,942,719,689,995,626,399,033,271,805,276,081,
176,109,829,104,642,968,497,894,264,112,295,555,175,835,455,812,259,567,903,
764,903,352,708,514,542,294,050,129,177,279,671,947,446,591,400,910,521,938,
586,651,878,931,721,486,498,312,904,037,626,919,467,775,829,351,566,915,944,
775,405,241,416,180,559,848,155,909,228,533,091,504,738,277,304,593,832,895,
002,142,393,420,509,276,701,899,904,563,952,024,790,321,417,006,659,093,325,
317,591,441,671,596,831,920,962,776,757,997,162,246,385,161,196,450,149,288,
491,732,297,867,132,598,692,962,383,501,557,843,876,134,105,166,382,995,759,
644,180,812,085,349,315,565,281,566,237,603,120,705,600,746,800,653,131,130,
071,104,828,954,707,179,085,674,909,844,066,384,467,193,020,185,230,421,718,
973,708,771,791,667,503,800,177,319,324,242,767,475,944,402,130,573,518,271,
890,167,379,857,863,685,237,446,918,821,139,326,805,375,563,903,456,501,981,
383,284,862,568,059,910,120,841,425,517,721,134,871,649,660,293,096,709,745,
057,472,199,119,599,327,779,600,437,927,073,044,609,383,489,766,091,957,132,
013,099,448,461,216,748,695,578,608,635,029,652,063,021,928,115,870,278,425,
731,978,341,703,604,792,638,159,182,521,804,511,787,305,826,799,828,863,048,
324,115,339,012,251,205,279,021,208,689,513,109,805,298,852,644,542,546,277,
213,568,474,867,592,868,674,015,617,324,091,163,785,817,529,483,245,523,090,
271,921,759,446,739,895,540,334,731,555,343,586,904,133,168,315,337,061,606,
543,652,103,280,165,225,320,484,795,744,156,122,011,330,458,892,273,099,227,
262,352,038,019,456,856,266,696,036,425,948,542,242,354,275,422,632,844,753,
568,625,452,388,399,569,462,952,892,153,402,818,705,534,906,786,221,668,060,
629,695,641,022,707,210,852,792,081,778,308,502,803,356,504,947,807,563,443,
870,734,641,520,677,440,577,275,584,372,689,473,153,998,349,628,391,710,094,
833,245,912,565,870,772,000,107,850,641,090,230,792,127,744,533,443,291,793,
219,915,284,511,047,940,114,163,108,788,165,908,313,837,929,303,153,719,198,
141,013,389,296,609,831,815,045,125,097,266,032,940,947,869,214,781,548,608,
350,714,107,251,564,421,563,048,930,328,873,019,150,364,124,494,218,697,565,
682,289,527,604,454,635,627,848,445,925,680,140,829,655,262,705,642,014,987,
393,505,788,910,455,432,099,340,732,585,221,340,691,324,974,156,686,189,363,
219,132,246,767,089,325,450,915,355,362,969,944,538,359,213,164,663,520,570,
638,967,562,576,998,585,799,708,615,796,593,022,873,656,947,952,286,401,447,
744,886,744,095,122,451,421,709,895,609,425,855,522,143,446,557,263,824,736,
295,694,704,205,368,433,350,744,488,229,838,516,027,208,653,461,737,920,254,
822,410,155,152,978,984,088,724,986,942,658,446,279,276,132,342,435,337,396,
745,056,982,496,355,210,740,447,180,468,512,869,556,167,659,998,826,958,257,
794,561,943,416,262,549,275,484,854,894,911,742,024,808,292,964,531,322,167,
861,476,004,463,595,378,245,558,238,919,732,625,454,648,658,710,141,069,914,
317,277,803,917,276,186,472,941,438,405,359,877,648,061,620,332,731,420,593,
089,109,347,515,865,423,863,318,220,855,224,298,827,124,823,079,420,264,295,
526,453,570,552,338,612,629,428,388,204,609,379,885,502,718,640,643,167,761,
176,639,855,925,719,261,921,983,789,321,462,408,369,254,570,733,250,151,477,
528,165,092,567,738,068,372,734,040,265,952,710,496,601,955,102,545,531,992,
709,705,545,292,055,151,864,243,753,500,028,461,230,193,793,188,361,910,285,
785,389,453,458,089,928,957,915,609,050,890,976,828,694,955,064,194,316,165,
452,045,155,659,553,443,460,988,956,002,322,722,909,055,216,973,215,341,263,
721,498,302,120,683,086,384,362,170,187,600,112,495,105,571,646,572,899,992,
228,925,338,140,472,359,647,742,969,318,242,055,179,697,257,707,932,846,514,
017,495,136,744,135,040,252,348,261,150,895,577,344,384,502,722,708,420,009,
544,890,532,107,400,885,673,365,311,753,730,237,958,439,646,580,713,647,804,
800,042,882,643,756,586,002,998,640,536,396,710,191,332,215,699,796,304,155,
431,142,915,327,407,401,422,746,445,977,866,608,737,340,307,852,072,566,146,
082,306,411,385,337,289,852,928,494,108,280,205,388,112,423,906,630,487,286,
698,131,924,863,213,742,362,787,138,065,063,296,108,101,187,660,362,476,278,
998,429,621,655,662,808,949,625,818,599,007,601,595,757,447,630,946,521,800,
159,591,688,993,923,396,240,057,939,413,516,678,425,411,567,178,090,904,561,
991,662,764,825,145,917,816,960,787,775,044,858,716,407,283,779,899,096,305,
881,515,643,368,632,243,640,539,141,641,245,244,458,630,994,143,546,025,609,
658,834,940,999,979,902,722,006,640,650,180,625,433,414,155,070,990,889,188,
356,297,054,890,921,015,571,978,260,655,258,146,076,836,573,184,520,170,239,
362,090,379,114,287,004,203,708,837,560,142,190,171,799,498,242,237,720,838,
590,713,275,650,423,199,889,649,394,855,462,045,174,566,172,299,335,140,900,
751,721,485,713,800,593,866,239,647,978,990,835,305,802,621,743,761,919,033,
460,526,514,976,027,323,737,102,713,926,788,219,100,366,266,486,772,381,082,
428,854,216,039,878,266,991,444,544,160,655,521,713,859,398,107,324,520,735,
609,225,017,458,472,401,298,704,742,301,186,335,055,829,712,898,584,654,463,
359,039,076,713,602,585,656,414,819,774,276,649,866,861,622,783,116,899,664,
919,035,473,717,005,277,116,509,231,146,909,856,220,087,072,486,774,175,683,
594,235,525,121,874,724,052,235,613,907,750,448,846,028,608,859,103,651,930,
776,611,523,676,655,691,427,766,203,589,020,195,253,836,377,279,284,409,079,
909,563,871,831,386,661,075,012,024,188,479,914,733,841,625,100,908,726,394,
843,409,814,026,540,296,584,063,046,296,642,054,757,247,037,787,037,603,545,
132,088,993,344,779,578,756,714,375,886,050,679,945,702,357,060,853,573,440,
576,069,084,952,499,433,365,488,763,694,133,158,168,691,977,566,132,018,057,
514,446,025,214,612,060,091,841,507,386,027,010,630,566,509,367,578,575,112,
763,883,350,985,621,090,019,802,323,267,747,116,306,345,452,115,265,409,024,
982,748,520,446,358,503,314,634,189,669,767,745,951,601,958,436,921,691,225,
477,724,923,820,077,909,664,543,048,543,584,348,684,739,786,666,423,780,791,
848,466,174,441,500,829,093,794,473,342,070,267,723,962,966,657,449,449,421,
702,607,363,638,705,155,211,456,179,100,507,572,221,258,917,582,524,390,948,
408,629,012,317,392,208,306,540,802,099,960,049,931,363,327,627,121,784,559,
813,283,086,534,836,168,013,311,654,215,354,778,193,274,909,775,555,399,917,
923,838,094,185,099,775,005,314,490,204,823,730,633,726,531,795,007,676,180,
662,239,305,603,990,726,492,087,163,110,559,956,637,579,223,664,779,582,462,
397,440,129,399,329,442,711,047,784,988,802,295,332,101,307,876,592,344,646,
295,126,384,271,355,258,608,400,121,372,673,801,732,811,845,844,236,797,038,
102,759,012,814,614,026,849,974,528,797,550,691,083,206,944,035,276,396,871,
689,531,995,995,928,030,838,446,883,334,690,874,520,578,597,226,235,064,971,
052,800,708,406,717,752,684,958,484,108,526,323,279,229,545,415,199,284,483,
489,259,081,713,831,128,103,321,406,136,186,054,665,580,372,265,402,656,942,
961,286,294,635,428,834,905,044,841,506,228,357,981,307,999,212,753,024,901,
378,578,652,971,733,946,347,977,479,565,872,801,459,930,227,644,890,846,292,
103,635,105,902,000,298,688,399,880,712,810,081,229,326,455,256,053,389,148,
009,696,103,784,138,915,220,109,549,722,527,446,146,114,239,106,247,065,123,
867,627,130,381,377,934,814,276,411,532,364,893,576,112,088,684,023,043,294,
287,902,617,709,169,721,698,322,072,315,652,622,094,082,255,150,747,176,449,
859,206,553,930,228,671,315,870,309,778,393,217,482,496,095,133,148,793,062,
462,095,868,438,673,663,681,466,526,265,465,430,427,311,751,607,675,286,247,
290,071,719,946,467,830,255,322,898,539,122,485,430,897,964,791,044,864,809,
726,323,250,220,931,178,636,089,609,893,624,621,192,279,520,698,264,979,365,
774,299,357,336,237,924,553,269,900,457,356,148,422,337,222,090,441,973,845,
427,108,564,367,468,825,033,507,984,257,368,317,062,804,866,631,810,277,640,
396,870,391,347,995,652,196,357,270,806,788,198,840,193,317,861,372,134,473,
562,714,825,722,638,425,590,245,215,359,693,171,388,485,589,638,235,847,337,
277,193,928,708,684,689,368,865,544,393,006,335,088,905,861,711,326,279,416,
893,158,067,789,972,653,128,853,108,888,380,015,122,112,144,249,484,189,348,
515,482,873,785,097,221,937,168,643,500,182,604,992,162,200,575,873,317,124,
040,727,430,879,144,728,873,220,866,434,130,830,316,738,458,099,000,559,262,
738,879,550,249,582,936,043,272,763,605,596,183,870,147,210,045,429,825,354,
919,764,870,347,919,008,842,490,180,096,275,004,568,775,419,982,330,560,899,
308,583,780,251,945,110,322,233,124,643,961,292,221,142,720,659,291,327,280,
615,661,803,160,737,480,346,148,472,646,851,240,915,278,521,614,449,009,219,
419,283,181,429,126,601,060,465,117,586,878,000,497,977,645,157,242,223,272,
481,901,855,051,295,844,522,964,170,444,678,975,507,883,582,154,385,867,286,
955,749,099,903,237,798,838,399,766,112,692,949,321,482,001,113,315,801,826,
337,285,566,734,499,042,761,172,424,534,029,644,778,907,111,480,608,985,433,
722,355,386,894,011,602,260,947,044,673,665,905,771,802,621,727,335,603,038,
751,183,942,848,571,651,021,725,819,949,197,195,469,897,533,863,314,707,714,
682,329,814,549,742,217,022,063,581,666,218,310,042,753,509,534,497,080,753,
177,888,088,015,995,041,778,379,069,201,628,615,701,982,111,998,122,093,134,
876,804,973,520,965,756,462,888,775,947,698,957,999,901,544,985,139,196,189,
000,279,244,039,639,808,653,653,771,807,384,729,976,960,584,909,332,776,373,
235,236,830,594,602,226,058,610,085,653,313,870,846,665,313,603,590,070,436,
247,408,383,109,287,764,187,011,704,388,225,018,851,865,979,967,194,403,789,
935,791,930,095,180,190,725,618,809,705,248,749,641,530,121,792,758,347,218,
610,583,545,305,575,930,284,566,067,728,746,680,114,571,850,060,770,689,048,
520,058,209,616,537,358,550,329,689,457,531,885,309,246,259,853,096,387,135,
237,345,511,815,056,283,193,684,376,987,407,365,798,665,568,395,452,679,467,
027,684,537,340,110,492,356,078,131,638,735,092,560,182,410,478,535,521,492,
333,840,991,099,500,311,517,875,019,222,039,972,029,877,008,331,088,572,648,
117,207,628,233,203,118,028,635,158,371,093,206,058,799,262,324,239,580,805,
343,013,738,872,574,352,711,916,642,000,698,896,103,519,676,435,513,755,741,
059,750,195,397,087,804,883,772,641,727,626,368,729,567,053,253,959,687,619,
757,840,560,587,098,448,739,619,595,750,423,580,937,860,252,924,201,745,737,
599,041,693,607,560,304,365,687,677,436,271,653,649,041,139,620,704,913,953,
866,268,303,550,227,243,328,889,866,784,246,391,211,398,661,960,728,225,259,
859,180,446,871,944,411,977,283,548,874,067,260,225,162,342,772,690,329,064,
500,966,262,257,814,977,566,697,660,387,502,714,276,894,838,541,658,367,862,
925,855,759,054,131,785,633,100,076,248,212,869,342,507,079,861,633,871,450,
312,650,792,311,886,526,633,213,890,560,363,160,336,438,567,014,341,003,868,
612,172,892,623,169,328,799,594,884,467,377,316,062,011,315,115,476,997,865,
485,039,884,126,389,344,687,015,953,418,722,233,339,243,535,320,593,120,276,
037,396,696,100,518,474,177,994,903,983,403,202,018,772,558,727,013,069,629,
503,137,916,066,032,267,463,689,181,064,778,831,091,932,083,666,924,775,584,
349,413,956,334,339,735,591,083,692,755,228,830,829,166,640,858,920,096,270,
014,201,622,388,814,767,539,707,598,269,245,382,481,207,869,339,967,298,756,
041,676,100,475,449,499,608,276,786,541,133,296,723,409,713,873,662,367,352,
412,864,181,552,165,644,591,192,585,657,984,415,017,583,173,589,502,340,554,
518,103,438,521,348,233,024,170,354,058,928,728,121,479,997,856,491,905,420,
559,760,568,557,541,636,870,836,655,095,064,617,519,987,894,310,501,475,013,
778,640,711,348,430,894,853,351,081,696,188,960,525,878,045,963,303,986,542,
387,842,190,861,678,047,126,398,391,243,876,548,933,851,317,110,418,546,503,
214,955,423,740,027,421,062,027,151,624,487,538,824,946,031,393,121,658,043,
993,910,366,426,657,670,958,273,560,451,819,621,304,468,247,229,993,264,128,
885,119,599,323,699,788,521,767,258,952,471,857,414,935,644,759,865,786,714,
902,227,731,985,716,258,256,310,204,212,518,769,311,490,443,805,903,402,359,
272,796,381,946,757,550,798,127,560,304,519,559,606,686,412,241,741,344,358,
501,051,782,888,244,547,709,806,222,442,124,497,589,110,836,817,186,106,073,
316,895,497,395,410,930,368,967,840,796,538,182,999,771,775,640,625,198,835,
454,108,022,724,444,148,897,418,838,043,023,276,967,616,136,763,978,807,672,
411,303,110,204,126,368,963,809,308,369,444,676,565,609,649,755,089,898,038,
547,573,075,112,612,209,201,773,440,254,192,148,898,149,716,551,955,228,740,
071,349,377,026,593,614,690,023,647,282,622,907,319,880,239,911,457,398,851,
729,825,085,040,155,730,018,528,331,169,810,935,263,405,983,365,079,692,747,
893,587,578,826,616,588,835,397,158,049,446,417,225,308,307,082,310,696,677,
752,014,161,083,831,147,292,660,114,218,062,144,757,694,856,016,082,367,913,
873,428,354,154,452,970,173,919,859,743,211,721,588,113,376,375,040,722,945,
455,171,910,804,623,165,176,043,252,678,773,161,475,770,731,247,698,335,197,
217,099,752,243,728,723,390,227,003,468,035,035,763,522,414,544,791,050,348,
861,085,199,125,189,591,138,240,128,808,263,051,020,142,136,072,636,389,088,
364,503,887,287,946,097,491,915,195,975,083,492,049,228,344,783,875,607,638,
769,867,355,321,011,712,264,775,897,935,840,300,332,003,184,779,911,587,079,
177,206,863,806,537,825,855,013,218,123,321,501,208,842,546,421,542,681,673,
225,326,216,862,771,942,307,240,990,903,521,330,324,444,307,995,346,309,682,
856,035,819,966,736,661,795,056,056,314,036,302,648,234,428,065,516,377,325,
917,546,327,232,435,484,234,370,712,715,567,103,813,782,680,852,873,641,358,
212,857,883,646,481,962,543,333,761,078,192,863,390,243,423,236,850,426,659,
617,401,891,119,355,490,875,831,811,726,068,060,370,543,003,144,225,934,020,
706,994,424,460,102,025,550,997,936,427,278,622,226,586,218,534,283,322,556,
292,396,873,290,121,189,534,733,015,133,434,394,633,608,227,546,121,932,524,
131,923,581,517,835,024,105,647,025,585,154,722,045,917,937,964,896,628,351,
453,018,551,082,097,294,267,298,299,664,162,232,745,636,857,642,044,163,098,
962,639,364,464,908,279,321,844,296,726,186,648,447,988,047,657,389,546,084,
147,461,181,208,157,562,634,917,474,890,791,773,100,813,472,969,341,298,480,
114,443,440,681,375,617,211,419,092,994,784,574,304,281,685,867,371,558,254,
921,393,008,008,932,188,760,343,718,516,975,871,461,433,443,316,296,691,406,
035,417,180,491,798,390,387,962,619,136,688,747,684,033,064,004,603,984,462,
063,572,850,585,850,221,109,920,533,776,151,284,865,124,338,081,143,175,839,
433,934,526,243,395,513,227,896,763,153,541,284,240,315,319,034,204,648,448,
824,567,764,679,379,240,109,837,812,808,650,590,703,170,321,518,476,679,540,
683,829,453,414,000,178,809,277,122,111,926,488,079,871,550,646,079,244,316,
912,144,430,032,690,509,706,955,832,242,625,514,156,981,753,659,655,838,693,
968,815,448,836,344,504,185,618,584,584,651,556,690,254,954,580,885,475,941,
437,438,333,669,490,954,867,147,616,347,779,371,761,747,330,429,861,277,631,
179,923,894,213,430,451,986,275,181,537,220,012,112,062,206,129,208,138,253,
455,644,252,469,554,917,789,899,655,654,474,268,041,031,797,942,296,500,551,
996,256,260,790,658,504,017,330,049,400,223,734,182,644,071,357,015,510,534,
865,091,473,764,372,368,508,393,354,449,413,402,569,943,798,871,803,715,915,
299,039,869,653,626,524,521,034,942,660,008,502,437,423,668,339,233,197,548,
418,225,660,619,114,512,870,652,296,265,232,769,286,280,835,072,584,157,951,
976,689,263,981,381,802,828,609,853,970,435,706,618,715,251,413,026,343,197,
336,184,507,388,075,866,763,283,050,633,498,697,406,564,199,904,392,240,767,
472,188,227,460,037,879,018,643,240,373,611,496,568,815,201,609,681,050,548,
669,113,958,662,076,639,193,772,993,530,340,310,744,236,312,186,368,369,490,
398,540,630,199,989,675,802,078,326,700,068,244,540,933,603,156,710,977,465,
423,009,858,118,205,918,641,984,945,001,936,243,335,191,431,460,416,040,921,
819,869,325,272,627,333,183,737,242,229,440,422,209,737,968,872,367,911,695,
808,784,276,562,129,376,640,193,127,960,335,631,378,469,938,461,674,842,828,
535,834,647,913,493,490,484,957,205,075,779,315,086,801,092,587,314,330,255,
786,646,286,813,565,172,340,305,724,067,237,504,838,361,988,803,858,825,846,
435,620,112,744,277,775,821,893,395,517,707,126,430,783,075,609,718,640,429,
917,603,152,455,594,432,296,882,382,984,287,852,969,319,746,775,580,705,074,
901,236,152,949,060,276,733,293,713,504,279,198,513,557,473,502,878,634,219,
693,234,304,454,806,415,105,561,659,205,970,354,345,609,071,991,713,301,085,
516,911,490,532,296,178,246,087,888,055,801,159,307,665,218,598,960,155,065,
235,574,331,173,828,505,786,645,595,159,311,846,047,073,327,761,229,703,148,
083,825,170,604,698,282,417,205,147,435,114,488,966,730,955,772,747,845,560,
902,487,926,074,167,091,904,369,843,834,786,229,216,083,662,308,908,929,715,
469,968,945,550,476,861,697,659,005,370,898,240,607,833,886,270,535,070,970,
172,262,780,490,699,737,024,776,810,787,572,240,567,573,325,019,204,504,835,
476,423,424,486,491,541,725,983,383,003,302,942,972,729,804,850,564,138,172,
435,946,627,147,781,914,904,770,199,768,259,557,140,079,019,574,427,322,112,
830,037,779,525,000,481,241,637,004,599,923,598,906,744,441,053,639,738,540,
834,301,799,423,668,216,587,556,261,594,758,670,053,242,771,061,667,246,439,
627,406,348,299,110,453,743,201,157,927,442,727,504,500,903,957,878,194,614,
812,795,368,062,339,670,387,900,004,798,246,006,747,208,654,626,071,480,643,
100,620,506,560,322,465,484,586,594,720,596,938,028,295,083,001,614,442,644,
623,035,063,483,250,002,897,178,531,137,774,686,821,214,905,116,346,100,673,
290,023,507,110,526,292,476,829,692,064,868,322,669,602,284,226,396,300,252,
437,062,566,845,497,904,965,052,798,100,989,191,379,681,857,935,206,133,411,
844,623,615,788,446,216,143,773,897,007,045,231,742,304,064,599,713,792,333,
510,939,692,005,521,709,051,614,326,947,127,641,297,432,554,298,151,286,760,
562,537,174,454,513,096,710,081,918,194,384,073,468,823,918,636,771,655,486,
541,965,211,203,724,412,372,111,570,049,641,619,061,522,827,145,398,661,486,
871,552,169,697,863,269,602,520,121,196,579,377,136,800,411,234,160,800,121,
150,748,522,855,599,313,988,561,575,488,594,566,041,884,290,239,312,688,609,
327,873,520,415,652,074,390,606,319,722,301,286,480,514,281,111,366,303,644,
290,695,124,383,057,938,204,735,488,509,518,683,115,493,930,479,331,358,943,
460,481,497,472,711,419,022,468,777,751,937,011,824,694,571,486,744,812,035,
740,768,250,340,463,051,395,001,451,079,245,826,577,092,689,532,783,727,891,
701,488,279,356,565,979,157,056,889,748,647,135,828,156,847,245,116,487,881,
163,442,087,450,180,869,861,002,532,598,867,754,763,330,219,112,189,761,835,
756,740,263,237,315,995,199,158,135,957,551,066,976,761,323,161,864,773,050,
033,611,198,689,290,208,880,988,046,243,908,491,728,565,781,702,054,577,490,
938,258,865,366,832,177,488,955,464,724,914,119,761,395,371,293,616,509,646,
430,221,536,774,669,682,425,908,749,483,538,138,807,093,013,560,234,742,116,
442,857,287,307,337,459,489,660,638,571,691,857,054,544,865,698,644,178,847,
097,436,432,009,252,600,744,006,663,211,656,048,540,237,229,184,350,993,481,
578,590,030,270,098,618,249,375,344,333,672,541,846,954,172,747,758,943,764,
147,022,064,960,489,647,350,862,333,041,535,970,778,358,090,343,995,306,025,
712,327,687,831,987,651,334,134,494,475,352,027,737,340,341,125,565,370,189,
212,268,710,666,399,069,010,216,730,623,246,503,802,914,486,763,312,713,454,
768,059,367,950,789,107,332,893,607,802,888,379,243,966,014,790,750,975,785,
050,195,095,741,528,163,997,359,646,374,678,755,863,857,714,475,233,147,611,
479,536,633,476,149,306,230,420,871,693,381,071,685,860,174,007,508,136,231,
758,318,397,568,917,680,248,829,354,839,476,809,712,731,519,201,192,073,848,
446,027,791,585,363,629,173,287,990,263,532,655,146,607,581,498,522,513,770,
737,752,669,696,174,951,680,066,370,532,846,363,322,887,321,318,050,260,396,
431,563,685,980,407,168,047,712,445,989,639,805,622,860,265,538,578,167,592,
967,774,006,776,548,969,619,457,398,351,986,101,405,146,717,778,820,947,677,
995,004,091,115,831,062,298,676,443,977,776,049,973,096,769,980,821,764,300,
500,679,939,739,401,753,060,123,956,307,264,782,401,037,191,799,321,863,767,
676,696,693,152,350,774,774,354,322,430,764,219,084,520,366,273,540,134,601,
721,767,247,790,355,327,002,407,474,283,823,858,356,231,139,961,874,291,519,
127,929,739,704,965,056,209,567,713,663,747,776,139,668,255,306,944,909,828,
310,372,847,852,156,427,451,706,566,448,138,586,063,537,867,096,425,587,403,
986,650,289,630,839,158,706,234,882,368,070,370,016,540,906,096,859,965,020,
088,001,967,371,246,342,341,330,692,260,640,258,440,614,119,997,318,103,857,
005,364,850,454,146,700,719,874,772,389,394,416,429,570,734,261,966,814,841,
992,869,015,775,823,897,418,832,063,297,514,764,226,403,035,314,094,802,109,
927,699,083,595,117,017,399,804,777,344,756,430,376,754,761,802,435,234,017,
525,041,804,774,360,988,272,437,302,131,587,588,991,922,117,304,657,476,938,
209,584,747,687,001,379,221,627,314,369,116,846,773,295,551,625,473,210,597,
025,806,581,534,090,000,826,645,543,243,252,950,373,998,087,413,077,020,578,
103,992,107,221,816,278,419,112,728,836,793,969,013,857,235,431,750,782,199,
744,517,212,446,428,697,738,893,829,649,379,540,256,641,385,626,022,663,008,
099,601,288,533,936,851,930,116,050,469,190,802,177,356,315,387,406,742,287,
577,867,332,378,493,382,100,528,289,096,339,457,833,510,392,904,589,419,400,
406,822,492,901,036,869,805,526,240,230,311,981,147,431,866,219,921,048,911,
309,697,892,382,659,014,784,459,923,780,808,647,785,475,872,691,851,074,676,
218,247,244,112,958,594,792,425,081,082,523,211,670,411,286,038,454,855,063,
877,365,772,535,504,128,622,426,808,464,906,137,132,393,766,468,231,505,731,
317,954,336,873,787,444,747,821,061,958,750,264,250,955,030,518,295,605,687,
551,748,730,193,670,700,902,419,317,514,316,403,494,377,542,461,933,049,810,
017,293,748,905,600,852,545,782,333,422,304,556,848,565,038,728,891,768,986,
529,884,155,522,333,993,453,893,125,948,750,705,311,902,281,076,286,262,736,
674,864,440,180,788,941,165,007,240,348,718,701,402,958,549,898,869,031,930,
809,951,450,538,743,192,982,162,307,825,754,634,012,229,359,281,663,445,665,
304,431,217,672,934,875,192,344,875,201,172,355,739,849,028,921,649,930,616,
073,875,014,408,972,079,957,048,052,211,493,908,744,084,326,921,286,631,978,
721,284,512,312,637,755,767,491,109,589,892,172,891,845,692,932,930,517,088,
053,507,601,306,907,054,224,072,806,344,108,345,303,852,135,535,239,856,123,
337,683,401,821,480,076,245,191,877,496,730,163,067,811,812,545,056,958,332,
130,730,364,166,656,106,358,664,408,707,345,086,260,916,027,866,209,893,610,
611,898,209,876,563,752,463,385,980,264,203,110,300,037,464,922,807,642,197,
235,681,179,746,201,380,401,077,126,634,946,152,909,706,388,942,713,428,657,
356,992,417,016,801,850,895,992,358,273,901,067,426,000,039,734,984,386,417,
813,361,419,480,454,468,632,090,593,786,480,489,812,125,157,217,727,231,345,
808,571,102,609,923,155,711,903,504,155,127,452,021,493,325,253,943,278,447,
692,151,553,814,298,784,438,687,202,338,486,875,351,834,769,010,305,155,725,
996,845,241,145,825,964,056,289,460,021,410,527,536,031,830,111,808,605,980,
034,267,954,109,903,626,431,798,674,739,907,244,283,428,154,525,270,179,482,
397,141,211,204,077,654,326,625,451,421,616,426,661,452,173,876,125,396,002,
565,749,408,378,200,993,383,207,600,054,628,359,199,349,890,878,002,218,930,
882,575,145,874,409,900,852,498,369,257,998,038,536,480,933,255,907,396,607,
905,928,947,540,271,686,331,762,224,682,854,949,266,194,273,274,137,122,678,
654,113,243,193,928,355,044,579,677,636,371,543,010,483,123,212,895,454,124,
919,518,473,049,749,808,287,454,108,345,314,887,859,653,129,992,972,419,622,
479,900,809,418,473,239,232,645,887,583,658,265,060,263,138,350,977,279,905,
950,660,649,027,324,732,487,378,988,309,835,372,616,298,484,081,011,420,612,
462,167,911,773,298,987,344,494,989,621,997,197,601,857,204,573,120,715,535,
911,011,316,409,274,955,300,154,212,235,293,449,761,580,908,239,283,109,810,
730,933,985,609,944,414,909,860,750,845,344,475,562,986,777,609,281,747,760,
510,544,115,221,137,866,444,406,329,921,407,632,750,507,429,400,539,557,065,
912,078,744,601,331,607,852,014,479,099,354,817,598,357,120,158,132,169,918,
066,090,503,009,472,396,153,967,218,203,153,034,723,589,666,410,593,424,187,
717,368,993,287,608,316,799,063,235,935,685,462,736,347,840,596,072,898,437,
339,825,418,976,741,704,260,825,415,785,572,294,265,986,641,030,620,709,659,
318,181,919,673,478,147,549,357,294,700,124,491,577,945,810,095,424,571,834,
783,503,071,109,634,421,217,382,723,417,282,824,077,857,584,456,360,786,213,
166,156,994,384,053,119,294,396,446,638,158,602,666,076,552,673,854,881,875,
046,935,935,466,733,470,707,549,260,430,001,040,306,313,609,487,760,112,711,
951,268,098,006,271,254,183,203,453,182,753,253,197,789,682,064,251,002,026,
346,013,969,121,060,215,569,317,545,121,766,260,577,472,248,435,832,775,126,
538,521,633,515,889,657,301,458,332,799,221,100,453,217,823,468,133,774,890,
678,125,587,712,881,365,695,382,282,358,256,898,831,298,306,983,334,361,386,
815,293,431,977,782,852,725,426,395,130,989,800,459,083,750,872,732,738,515,
878,996,732,830,360,359,670,789,846,881,138,759,946,621,777,801,803,125,034,
854,538,692,443,475,057,906,183,944,850,173,350,899,721,757,686,175,957,953,
729,220,696,663,294,698,932,045,543,254,027,151,447,879,211,786,934,055,866,
149,434,081,950,428,526,268,511,539,628,918,123,498,856,747,354,757,365,025,
690,658,335,416,081,570,092,251,076,418,659,782,759,946,851,018,858,380,180,
547,226,779,589,327,046,183,772,613,218,494,082,240,325,112,884,654,288,409,
969,451,074,914,598,109,635,523,971,946,579,735,702,023,743,139,559,722,585,
672,186,439,478,166,862,710,066,977,612,000,545,611,436,208,156,281,095,410,
031,363,446,383,276,127,440,042,408,113,966,392,636,144,452,008,629,250,153,
622,848,421,576,648,833,885,792,972,739,688,058,945,941,046,503,404,382,524,
772,578,604,703,568,005,470,194,767,710,673,873,870,485,951,355,674,301,065,
580,850,168,013,351,087,345,771,336,214,472,798,301,937,080,243,353,738,476,
770,234,760,470,659,320,860,548,983,849,304,862,090,190,909,544,197,163,541,
630,888,325,101,682,939,669,819,169,568,045,594,046,555,000,495,210,706,061,
938,627,866,483,359,634,661,737,664,409,457,978,759,029,532,512,467,638,612,
493,597,003,031,408,716,147,016,995,432,601,298,729,211,622,360,991,987,357,
562,930,760,565,354,345,454,384,430,444,911,790,918,541,980,911,627,652,181,
972,927,885,088,575,888,259,571,226,651,013,839,425,112,422,314,962,930,612,
606,768,833,556,708,132,864,326,783,936,332,948,998,000,218,694,445,234,701,
534,756,723,086,207,761,270,003,088,930,060,061,144,288,567,297,510,203,913,
059,770,701,282,324,718,012,341,334,923,771,288,779,615,907,442,452,098,211,
263,204,599,946,554,183,856,749,176,272,489,144,752,103,641,902,439,618,643,
093,089,786,483,925,329,580,146,494,179,649,397,630,120,705,737,274,574,428,
427,535,705,449,261,461,647,011,569,951,141,711,098,206,682,651,247,716,158,
257,606,842,565,693,733,069,894,485,935,447,250,124,993,468,015,492,112,010,
222,580,632,282,062,889,145,899,624,652,396,410,815,908,151,982,674,463,105,
474,220,593,005,943,066,972,544,796,333,561,529,740,723,715,247,900,541,422,
257,324,686,358,079,479,465,912,488,161,038,934,614,516,046,918,826,609,093,
773,292,406,454,284,233,473,999,274,687,890,389,567,133,574,705,125,768,352,
388,312,694,385,007,378,336,420,514,159,332,089,757,056,642,416,672,222,532,
624,456,602,792,488,615,007,956,350,592,763,469,494,898,791,394,847,442,960,
746,889,778,262,311,752,467,678,520,533,212,519,971,735,726,988,151,605,194,
739,662,205,955,459,439,033,161,923,928,671,571,847,461,698,988,961,380,200,
792,204,598,044,038,821,598,669,122,155,093,300,390,271,480,496,130,003,193,
633,418,590,488,567,760,950,692,520,219,058,472,939,737,198,455,963,562,949,
361,078,552,712,514,439,445,158,271,961,585,334,730,053,706,027,281,682,642,
194,641,511,990,265,206,822,061,283,740,151,110,306,595,490,769,731,261,027,
222,666,556,880,391,773,877,174,404,610,928,645,486,862,934,029,111,983,654,
147,885,306,898,396,223,432,668,186,099,857,805,222,448,458,887,919,360,627,
812,981,257,228,681,605,126,036,762,612,281,674,753,703,461,587,918,302,221,
839,328,933,361,520,897,288,638,944,305,041,315,334,887,559,106,166,218,308,
166,471,921,984,685,433,177,259,165,994,521,684,232,206,243,885,755,708,641,
007,531,316,806,102,554,760,803,069,227,498,530,435,978,216,338,998,076,650,
736,627,173,845,258,851,111,253,717,682,010,578,567,149,947,356,453,528,683,
196,514,085,144,889,037,902,066,494,668,560,129,777,099,084,909,204,691,095,
253,680,586,758,745,786,200,314,105,176,833,543,563,180,670,069,983,184,923,
167,524,631,363,125,461,765,697,099,947,743,703,593,785,153,729,766,193,264,
435,083,536,228,042,756,544,676,889,218,435,154,753,518,318,852,812,565,771,
257,018,154,257,500,645,307,796,784,410,174,696,793,932,562,245,775,048,938,
047,850,207,662,882,903,180,905,578,126,654,712,577,234,982,532,889,667,213,
852,959,471,461,425,431,366,227,854,118,976,209,188,535,561,915,071,481,360,
159,010,912,270,966,625,903,627,223,308,352,461,948,636,155,458,979,165,336,
174,335,136,530,185,477,031,145,447,346,017,261,434,139,501,965,235,499,655,
714,795,824,421,419,490,967,371,756,708,404,026,150,670,826,089,502,804,879,
993,626,370,707,264,939,027,376,914,059,453,924,263,306,285,849,492,688,150,
622,374,551,472,391,145,184,341,680,397,099,584,881,882,520,302,767,768,358,
433,345,814,006,885,318,431,482,026,472,388,792,670,512,953,141,306,942,610,
152,218,016,940,711,310,840,881,905,659,462,882,612,351,003,185,777,262,589,
525,139,545,153,997,231,767,019,104,162,849,958,258,513,840,021,115,498,065,
633,980,683,086,681,472,405,302,368,053,843,698,489,958,503,202,841,960,676,
178,809,710,618,417,788,051,509,316,319,415,698,152,058,665,661,535,031,943,
507,697,040,941,624,266,383,435,938,894,375,085,776,827,805,906,830,737,865,
095,228,896,421,993,192,366,288,819,734,213,816,851,542,597,917,400,044,743,
668,609,105,249,496,322,803,017,186,295,121,832,040,808,599,753,435,746,400,
813,646,861,034,302,066,760,963,852,259,854,066,113,467,659,082,483,662,397,
719,068,592,035,136,261,076,924,355,217,082,595,439,794,709,680,439,735,236,
672,090,025,500,782,702,943,624,505,528,347,893,556,156,061,663,384,649,767,
370,622,695,011,940,863,794,575,788,897,797,355,564,224,713,216,949,319,642,
674,371,734,212,561,678,296,249,866,572,965,197,465,594,824,809,275,623,091,
050,703,064,872,724,830,062,872,383,910,668,787,376,866,934,975,971,145,377,
534,884,629,641,790,519,782,815,251,931,210,100,500,921,112,357,940,820,542,
260,385,800,871,675,490,112,803,665,975,726,331,892,991,936,511,169,564,617,
666,777,612,529,983,725,592,912,346,952,658,679,948,045,738,242,598,508,453,
010,837,045,655,888,222,247,679,470,988,161,985,934,553,978,941,233,719,983,
033,767,329,143,119,685,074,871,589,302,403,193,482,858,994,087,342,175,554,
771,789,031,748,510,739,252,901,813,756,379,176,262,358,432,690,064,741,034,
855,053,720,862,162,791,768,411,991,379,671,661,843,536,250,482,789,679,264,
652,258,120,000,931,834,995,754,042,745,767,011,257,153,811,094,164,600,089,
228,775,447,633,438,400,385,132,703,706,009,624,030,388,742,977,037,735,540,
936,664,098,926,161,038,287,806,508,885,602,103,742,013,375,113,025,046,722,
865,442,985,719,244,247,024,742,803,478,998,330,189,015,726,017,617,094,529,
235,829,283,292,991,324,182,588,772,596,823,436,479,040,867,929,989,289,816,
438,238,826,827,741,875,591,593,989,230,315,606,848,469,540,334,156,069,466,
257,084,306,877,428,274,605,786,667,377,918,984,416,155,131,470,569,576,265,
922,205,951,835,331,705,583,214,689,459,955,328,878,691,468,194,511,092,340,
225,946,732,083,440,065,670,629,807,192,233,876,113,068,171,486,460,183,765,
416,664,788,875,301,157,862,219,151,492,875,706,854,878,705,290,381,765,184,
373,473,552,566,949,022,765,033,600,706,099,110,542,734,749,608,018,299,890,
779,542,741,675,770,718,669,278,318,067,396,388,858,507,755,231,086,528,028,
812,480,344,541,782,758,557,274,103,169,595,434,815,810,032,990,003,992,050,
757,644,576,509,453,560,638,544,290,541,205,890,546,631,602,807,298,264,108,
250,161,883,209,257,288,808,580,622,852,916,414,570,087,355,472,720,104,290,
403,323,227,420,595,534,438,167,082,274,152,545,667,746,262,978,870,537,213,
308,556,434,905,462,517,148,274,509,443,102,909,236,102,407,766,156,539,058,
262,446,074,110,192,443,770,961,254,347,225,379,609,477,277,963,343,158,939,
098,103,376,491,605,210,548,025,350,078,460,369,891,570,265,656,045,238,674,
631,801,489,913,845,722,676,697,474,415,633,651,451,878,545,311,418,912,995,
886,775,292,003,468,698,753,563,920,715,182,681,127,489,107,055,693,172,238,
309,910,816,006,927,637,857,104,716,744,807,033,711,651,946,468,588,787,417,
783,942,419,742,367,685,048,580,483,074,934,672,383,759,804,173,506,708,071,
258,024,485,565,281,756,850,253,877,546,501,485,216,108,759,019,388,024,406,
426,026,110,146,136,826,991,261,324,669,305,282,498,548,079,751,743,844,721,
061,591,988,269,385,066,750,950,647,143,408,179,184,513,285,757,290,942,980,
499,639,474,349,824,487,353,570,907,857,114,757,660,848,184,446,911,574,362,
341,245,733,845,918,458,441,197,462,842,605,323,273,244,493,793,213,788,112,
755,928,368,370,803,533,373,773,547,736,843,081,993,703,975,546,206,607,663,
031,650,335,724,004,432,031,372,580,644,213,540,249,226,160,165,104,039,417,
037,113,755,454,391,561,105,640,990,525,297,208,787,279,599,787,923,970,670,
482,873,631,351,827,189,580,039,671,365,170,715,564,596,794,355,653,702,294,
068,227,030,223,374,011,461,386,448,791,515,061,419,382,016,374,598,752,729,
337,569,865,343,799,560,007,306,062,474,887,811,781,562,881,682,369,177,166,
873,593,825,514,025,101,308,635,739,582,461,062,320,392,843,600,397,469,211,
423,335,693,183,852,620,924,885,006,392,057,115,420,776,990,549,831,808,568,
082,183,380,327,187,780,043,880,293,956,142,847,855,772,210,429,744,032,145,
063,728,096,232,400,959,903,585,695,813,497,399,751,470,057,637,672,624,434,
959,238,693,941,851,118,174,320,044,333,185,894,324,810,920,305,145,843,237,
471,849,673,277,536,513,731,604,752,424,625,660,778,748,745,605,525,935,665,
187,519,795,199,435,293,206,078,745,855,569,923,656,698,329,806,068,194,180,
620,845,591,075,585,290,137,878,505,778,829,999,248,162,732,911,025,907,025,
705,985,668,307,648,411,547,078,491,745,281,724,415,743,695,187,947,942,222,
083,899,608,035,816,314,902,523,977,122,036,541,713,786,302,533,316,700,231,
092,434,260,160,136,441,445,788,516,134,922,834,700,359,932,590,036,884,934,
788,299,608,104,672,357,218,433,515,843,306,173,567,339,478,826,353,307,441,
071,879,003,771,115,270,716,000,946,764,848,314,450,346,188,953,908,410,127,
481,459,228,895,035,918,073,347,144,790,726,885,847,066,715,575,724,481,609,
223,138,471,492,727,410,397,963,959,120,574,797,965,450,356,505,180,499,745,
360,370,519,444,152,497,626,327,719,042,897,986,599,558,168,184,241,878,093,
648,755,466,003,753,873,555,561,533,647,197,267,433,914,418,144,542,238,679,
593,573,199,173,220,902,435,239,909,994,218,662,022,237,774,345,425,331,499,
547,473,389,398,596,163,343,425,923,606,107,702,710,921,188,381,355,249,630,
648,329,907,319,280,634,174,078,326,833,768,813,286,056,663,389,552,487,711,
571,370,836,952,860,580,667,852,804,307,113,798,203,734,279,295,919,868,312,
630,129,847,124,445,625,427,642,207,413,663,199,557,451,303,811,273,636,887,
654,515,760,665,956,941,320,168,164,567,370,302,359,411,493,012,273,467,644,
192,969,527,951,457,279,758,340,547,719,522,298,411,949,299,364,909,012,308,
512,162,986,438,174,427,779,731,718,526,683,053,059,607,378,435,842,277,930,
520,365,522,048,884,995,723,399,080,618,550,250,993,746,978,178,140,154,559,
911,107,154,948,318,485,712,309,127,298,669,268,323,886,279,763,188,550,580,
406,090,786,340,705,446,169,140,097,939,785,864,538,707,254,633,129,460,316,
519,860,556,706,477,741,154,174,947,170,634,421,095,605,905,103,191,180,490,
530,756,323,310,287,103,890,441,512,240,525,023,541,071,809,387,019,331,244,
976,709,956,810,118,883,774,213,438,145,617,252,735,062,183,055,670,966,502,
888,321,627,386,794,093,220,020,778,137,471,432,422,720,004,699,315,213,395,
076,579,953,273,522,719,812,116,334,669,442,124,127,222,999,551,539,463,077,
028,885,362,406,987,195,660,229,205,295,626,144,458,008,352,398,578,112,337,
487,417,772,822,026,815,033,867,781,970,773,713,666,307,040,694,916,610,541,
211,862,664,572,792,174,010,104,005,577,082,663,099,941,515,411,113,613,990,
343,442,655,518,492,995,974,249,761,049,703,293,410,923,365,521,433,118,641,
223,486,776,201,112,547,688,265,029,141,722,663,342,177,441,191,955,110,833,
331,809,666,463,563,932,516,588,447,830,011,442,427,030,468,555,080,338,369,
948,158,182,778,265,851,074,689,068,488,448,347,874,177,901,435,559,021,142,
829,595,105,562,378,697,858,385,509,470,353,802,201,327,476,704,521,294,760,
896,787,633,781,639,742,535,162,858,113,691,153,998,661,196,298,340,018,201,
730,859,166,603,284,328,652,188,248,800,172,155,879,647,639,693,812,839,174,
768,430,180,043,556,370,464,049,777,425,100,879,700,399,067,449,303,763,303,
957,461,194,946,216,205,707,698,954,058,367,165,873,789,950,035,265,128,760,
379,051,619,333,853,091,546,313,434,421,527,235,226,916,499,402,983,715,017,
772,495,201,926,184,500,274,742,066,253,361,072,963,648,411,079,534,038,712,
943,497,750,992,201,613,286,779,535,115,974,553,046,499,471,011,984,613,442,
927,656,933,683,336,419,106,222,897,910,228,991,787,232,692,011,773,332,559,
831,657,564,911,672,041,253,971,476,881,409,045,801,254,374,295,904,512,689,
306,687,253,406,365,047,002,969,213,536,989,024,435,580,840,743,746,977,592,
432,670,790,340,682,424,780,945,694,475,795,409,816,938,224,583,583,280,334,
343,228,537,368,677,890,084,715,843,949,434,579,636,774,206,986,554,490,331,
635,993,392,036,930,041,264,286,424,163,264,378,220,934,186,820,312,358,951,
836,919,860,668,634,457,696,979,913,176,466,764,362,880,578,809,681,967,473,
051,632,548,347,458,580,605,656,430,402,814,939,325,898,435,089,790,624,572,
011,811,831,578,298,554,545,264,266,478,543,384,884,154,297,178,432,754,849,
408,372,952,690,876,307,785,565,550,993,215,726,106,426,380,069,228,901,790,
663,661,659,285,238,126,549,444,526,293,169,244,801,434,278,025,010,177,664,
711,229,109,796,222,378,087,547,571,265,926,882,848,016,125,907,198,605,629,
160,550,832,587,607,443,596,994,206,117,244,447,139,519,078,454,556,601,218,
715,866,870,671,562,444,095,506,037,394,767,838,073,234,826,125,291,995,139,
251,182,973,171,456,651,885,723,949,894,586,543,924,399,322,567,549,804,366,
143,252,691,525,179,485,118,872,282,631,999,544,312,661,883,260,614,863,539,
854,567,262,757,295,722,468,990,784,146,315,837,407,592,251,702,986,071,533,
310,399,424,420,031,099,247,447,871,535,098,175,893,304,764,972,668,425,555,
207,605,057,736,545,341,039,081,327,471,985,112,952,669,126,051,337,364,153,
718,868,352,947,494,453,850,745,205,958,170,750,476,047,096,555,233,669,706,
911,325,254,519,121,495,267,206,990,281,625,282,725,794,868,541,463,339,165,
039,965,675,945,003,561,865,247,614,685,769,684,703,690,971,165,882,392,754,
522,710,686,251,320,574,771,301,154,985,850,425,096,811,783,288,206,653,838,
859,780,576,747,840,546,580,354,195,347,228,156,471,060,539,012,475,026,537,
699,621,808,855,039,497,906,156,728,980,517,961,165,141,299,581,962,416,746,
394,407,105,513,604,292,669,456,624,630,104,870,900,769,037,905,231,058,847,
410,351,859,694,496,061,444,195,192,309,190,380,229,345,689,249,243,609,927,
958,048,580,096,575,246,759,330,169,668,125,948,316,396,978,153,953,110,491,
760,328,958,835,235,429,160,166,996,608,571,634,108,907,310,185,586,601,567,
174,909,071,707,767,730,946,564,082,049,781,798,471,653,938,874,083,753,724,
040,528,022,079,245,845,341,314,253,977,175,653,720,685,491,978,472,743,176,
982,427,266,525,055,611,388,215,319,690,782,402,194,761,850,277,062,184,342,
432,685,102,682,569,993,263,691,582,487,345,883,790,619,873,598,367,668,156,
832,083,476,314,957,032,839,716,123,476,632,778,215,566,431,947,434,541,287,
022,703,223,975,270,697,048,137,780,965,744,834,927,676,868,681,363,242,943,
217,553,158,279,911,019,424,571,898,731,116,554,803,954,676,395,857,060,388,
599,806,584,547,446,182,305,754,183,894,760,515,254,593,742,611,857,217,331,
370,293,640,917,665,401,027,410,245,806,998,360,888,686,451,101,875,823,929,
730,867,607,700,821,610,083,837,985,646,214,493,172,204,619,566,257,054,952,
260,339,444,911,210,674,456,282,823,610,915,733,458,489,093,768,583,321,949,
177,942,438,423,182,694,433,497,102,024,434,775,226,326,882,384,045,935,036,
388,165,012,635,839,519,110,193,795,477,888,658,610,577,159,503,423,759,999,
285,687,829,062,574,880,637,789,400,546,488,106,684,152,488,168,970,696,068,
761,348,359,379,641,089,728,689,534,677,802,511,639,152,957,853,174,739,729,
277,678,049,915,219,517,834,882,611,054,499,313,397,729,473,680,834,160,945,
930,272,728,607,080,662,228,252,330,340,436,189,211,555,579,544,797,995,893,
475,063,282,052,429,234,543,755,324,510,499,654,050,967,600,724,921,070,172,
599,841,122,507,729,650,821,717,023,835,734,782,460,245,356,947,299,178,340,
882,916,789,019,794,072,189,243,448,043,153,018,714,043,072,876,729,451,865,
300,353,938,864,533,370,979,136,366,587,560,002,493,023,561,005,677,678,753,
533,907,223,963,315,432,452,462,065,244,175,662,207,466,871,881,127,827,136,
435,218,734,072,369,590,910,073,469,760,890,434,388,911,563,448,942,341,525,
195,853,360,831,589,509,132,965,142,023,075,420,464,018,393,212,172,031,504,
719,543,276,860,045,872,818,860,534,228,732,292,298,514,632,076,450,831,762,
814,073,517,804,957,983,743,427,647,700,305,640,400,952,997,736,414,355,418,
871,916,783,385,320,568,616,624,923,260,057,086,634,560,689,777,041,247,293,
668,581,935,331,691,646,539,306,497,845,170,756,757,463,891,392,522,857,458,
230,011,435,831,004,602,912,398,101,249,081,422,868,988,140,288,489,952,468,
211,376,831,108,051,468,957,650,846,658,674,499,609,709,397,683,472,821,896,
592,206,307,180,155,879,232,198,448,558,655,305,569,908,109,973,936,333,301,
271,406,236,270,196,264,635,126,693,970,764,207,790,713,933,518,513,955,385,
652,101,062,226,259,984,068,264,493,444,930,851,759,067,623,196,301,165,438,
803,161,913,828,467,049,623,538,268,954,497,774,864,451,268,949,611,255,461,
599,624,623,715,409,472,532,922,863,029,474,213,434,405,240,080,323,973,082,
779,045,398,769,152,825,725,973,324,821,924,068,737,821,955,688,111,930,804,
929,123,229,013,543,418,426,528,720,028,834,085,380,754,959,413,054,660,885,
265,857,746,094,812,591,451,137,116,774,630,814,876,667,866,692,992,733,441,
615,645,943,200,109,444,614,884,264,210,601,118,477,883,521,903,746,689,814,
536,879,860,032,760,509,375,314,413,330,767,836,233,061,294,884,226,105,117,
782,429,289,140,951,375,532,271,005,596,916,969,305,741,634,511,238,598,835,
093,875,450,524,484,271,863,258,720,801,035,084,930,822,896,888,864,149,320,
155,780,216,034,570,465,324,927,766,041,021,108,962,307,850,302,718,931,633,
889,994,359,260,747,170,858,565,171,994,115,307,337,571,730,678,289,514,422,
362,038,625,326,766,927,497,592,656,151,212,466,887,829,315,561,741,391,721,
709,484,469,951,953,944,443,844,411,138,003,201,861,039,696,222,665,641,383,
623,729,406,641,808,416,742,199,458,287,209,543,803,889,923,821,323,973,286,
805,965,693,042,803,182,887,534,979,131,630,269,178,722,928,662,380,354,088,
136,345,031,587,265,536,772,711,875,459,166,442,931,035,951,665,466,760,197,
142,664,620,376,902,890,237,447,128,492,235,561,741,241,464,970,243,337,015,
862,350,721,617,278,889,348,929,010,091,284,928,924,655,272,344,150,031,066,
194,516,180,372,533,528,030,615,214,084,286,944,542,489,793,718,513,568,290,
443,017,651,442,142,282,280,368,634,598,724,265,175,068,568,424,214,742,424,
827,840,856,964,505,523,603,152,517,876,123,882,566,583,558,921,313,295,940,
618,206,649,568,939,745,631,993,601,111,235,877,857,006,978,065,708,632,112,
205,386,197,689,638,019,650,504,815,538,261,308,688,370,319,370,470,789,850,
933,246,799,915,293,680,543,319,776,070,835,873,989,864,513,925,287,902,458,
142,635,154,719,395,587,088,164,638,202,420,082,876,705,576,561,183,201,816,
103,690,436,506,544,294,321,942,449,559,766,302,254,547,925,068,184,632,341,
907,411,270,954,229,330,762,937,670,243,372,147,729,029,117,806,795,740,817,
225,653,074,526,314,010,665,773,702,210,397,337,702,553,666,574,285,261,963,
623,287,614,225,083,938,277,310,728,127,272,442,788,320,779,009,933,874,522,
353,925,377,473,621,725,851,298,720,700,046,033,819,398,631,947,910,663,877,
838,064,132,489,442,172,414,967,430,903,942,500,447,726,863,529,894,715,645,
002,968,588,648,868,697,224,700,736,936,543,209,180,502,087,316,130,292,905,
454,109,992,585,967,090,623,730,650,677,362,840,172,420,411,915,645,896,130,
816,945,564,661,385,493,004,098,693,656,377,709,002,640,981,392,969,923,469,
871,379,298,572,498,054,709,176,747,963,255,643,314,353,994,065,486,035,158,
838,223,021,146,680,967,367,498,584,578,733,569,066,319,838,685,023,689,117,
128,942,888,254,191,954,204,967,087,234,776,247,130,334,491,912,063,368,906,
582,299,595,948,906,759,713,666,329,293,619,860,408,714,143,194,035,275,754,
285,041,198,631,819,296,737,175,885,792,837,625,769,788,208,430,601,284,014,
118,857,211,940,139,057,572,529,363,746,436,736,433,954,817,759,678,726,744,
404,012,741,700,229,672,937,736,272,028,819,968,985,521,465,577,974,637,971,
538,491,882,537,600,576,212,219,626,877,202,458,344,307,053,763,963,624,676,
160,736,951,345,753,593,857,471,987,187,262,777,224,905,370,400,035,829,276,
031,008,026,742,922,543,617,817,930,058,097,879,391,808,160,897,577,617,276,
800,315,652,026,793,785,671,518,707,349,012,021,776,669,358,314,511,168,633,
645,034,856,892,838,103,740,670,330,199,983,570,626,066,437,092,716,013,749,
511,994,406,199,283,853,642,292,150,095,257,490,516,816,998,005,051,874,115,
436,845,365,386,728,906,088,927,319,631,904,708,787,845,292,531,368,789,610,
396,729,187,051,249,361,117,523,516,831,297,934,559,743,913,130,027,452,971,
896,593,583,730,811,031,090,118,355,214,644,464,631,892,185,599,575,441,053,
839,894,761,834,888,852,469,745,112,104,578,808,857,907,666,532,829,174,254,
116,766,969,982,234,561,085,029,052,124,505,962,826,283,531,190,271,848,736,
462,388,219,177,200,144,091,986,536,177,132,278,089,510,585,399,604,933,479,
224,525,689,835,077,484,830,755,706,006,163,376,235,537,256,297,692,640,809,
179,234,983,648,876,844,652,703,528,399,182,920,873,155,937,875,253,864,892,
821,703,737,016,981,755,126,489,425,507,028,738,064,574,062,252,238,792,355,
372,849,469,721,061,711,971,501,143,988,587,711,483,080,510,278,419,822,060,
837,350,817,634,920,488,791,166,026,452,946,667,660,717,243,957,898,441,176,
105,565,847,429,817,141,058,388,714,531,606,647,499,710,621,431,760,444,682,
466,517,339,218,465,348,078,834,492,955,618,637,936,103,465,065,250,862,461,
492,220,206,194,156,530,189,741,913,266,491,599,966,020,498,471,520,040,937,
032,537,400,896,921,009,497,990,325,630,892,608,990,830,760,060,392,075,575,
831,274,631,062,830,841,792,764,094,098,093,120,808,696,442,070,254,183,849,
951,390,891,219,249,871,301,549,401,684,353,401,751,218,627,645,926,484,841,
502,386,849,445,932,152,497,478,563,307,070,337,601,877,425,599,681,533,649,
741,705,931,299,135,360,446,076,152,905,695,964,207,762,547,337,528,713,850,
041,620,105,968,761,155,253,243,602,114,305,846,332,623,150,091,169,404,327,
919,842,271,026,921,267,526,732,151,462,502,472,633,832,981,330,807,500,234,
975,666,605,768,525,996,339,763,942,103,866,633,196,399,199,832,318,932,054,
164,929,215,243,738,396,156,627,637,763,773,321,769,422,481,446,371,698,903,
538,389,156,916,421,721,015,981,576,085,305,688,040,819,032,378,659,474,658,
416,982,183,963,662,813,646,135,441,356,741,785,294,272,502,952,487,564,269,
938,741,145,235,994,127,696,552,001,629,760,524,275,548,401,770,272,157,857,
688,065,233,403,281,083,256,877,248,051,941,369,279,052,596,508,501,439,548,
878,020,598,947,398,715,350,079,326,279,485,336,550,229,762,698,836,217,481,
245,465,157,483,300,707,199,407,892,092,615,116,341,761,902,574,967,261,199,
090,275,499,220,312,361,214,135,501,175,660,279,851,312,826,833,857,600,573,
285,961,848,422,724,854,613,558,908,095,432,830,797,655,966,524,517,822,043,
434,657,487,766,233,084,240,350,315,470,447,694,330,577,147,606,321,722,879,
771,885,283,707,723,541,399,458,931,932,250,722,639,906,713,436,962,491,300,
157,300,890,117,788,587,631,284,599,252,899,598,648,685,420,872,313,038,327,
904,727,584,173,551,459,325,547,278,645,864,718,943,348,803,877,043,231,299,
913,561,991,601,185,078,779,098,777,802,318,676,017,531,949,484,155,261,570,
094,475,196,008,590,892,756,202,562,486,847,458,386,890,851,646,906,396,738,
721,913,617,956,686,242,416,629,134,239,975,598,499,870,269,360,805,846,690,
990,264,463,757,477,073,724,575,335,981,201,332,061,303,949,880,976,645,004,
037,567,892,099,658,254,790,432,302,124,557,533,625,179,021,905,190,752,079,
154,424,996,058,689,735,374,101,557,294,297,044,098,846,852,750,371,703,057,
220,495,979,517,579,006,261,281,238,051,539,754,719,181,564,645,473,018,048,
416,189,524,939,898,608,234,223,965,098,070,779,761,403,527,557,453,779,041,
872,526,058,730,780,457,924,380,572,115,001,401,643,631,449,351,623,973,278,
922,690,975,096,133,775,216,624,110,734,401,758,480,719,582,858,209,697,713,
059,713,784,316,773,958,157,462,272,677,065,981,767,974,970,343,862,668,167,
858,288,995,299,101,653,981,293,187,847,687,341,185,693,260,416,995,910,456,
799,486,915,039,090,521,010,617,136,995,767,692,995,776,862,501,396,490,760,
828,221,377,633,065,983,699,896,446,186,038,865,103,725,673,254,519,156,281,
015,327,381,005,560,507,867,782,580,931,099,609,494,081,761,102,750,019,078,
416,910,114,377,032,033,167,053,496,551,979,137,277,489,363,608,178,734,741,
107,414,606,529,467,740,387,389,274,982,703,852,226,012,657,137,031,810,580,
669,835,144,525,111,295,206,807,885,925,002,799,322,419,686,431,501,470,571,
271,996,275,240,050,839,371,457,654,413,973,534,398,459,023,249,023,126,952,
242,077,693,130,467,456,624,168,743,888,717,137,448,289,355,868,372,549,352,
253,013,057,468,982,875,204,985,172,941,767,605,415,116,123,148,967,042,381,
296,464,623,182,273,188,671,502,961,766,607,896,681,275,774,866,515,287,741,
925,227,273,467,260,013,282,804,405,057,657,958,781,414,479,908,165,509,768,
547,024,663,233,005,243,469,159,994,461,659,255,143,159,472,689,111,602,107,
064,798,088,364,335,800,983,171,709,215,777,255,870,993,464,858,181,421,820,
831,472,992,796,347,094,079,946,979,735,431,184,830,817,595,938,432,530,153,
365,074,688,088,495,968,604,439,101,418,746,763,818,771,764,648,552,221,528,
270,572,577,720,200,366,663,047,517,329,428,354,718,026,510,501,204,215,737,
359,832,006,585,612,623,782,685,402,266,936,640,592,982,553,301,528,930,631,
189,290,799,642,442,367,141,972,587,279,651,159,573,868,135,317,245,666,497,
465,024,870,638,773,230,772,016,243,008,686,323,508,633,640,967,308,377,813,
686,766,125,090,840,980,592,469,600,312,583,484,474,123,619,291,229,612,254,
015,435,989,270,176,201,676,829,658,469,361,670,908,868,314,380,730,902,636,
820,553,784,762,109,161,527,737,020,993,731,791,299,050,750,431,624,940,578,
763,791,156,866,276,948,195,035,693,977,420,200,392,811,131,852,010,454,688,
291,006,566,806,373,435,151,904,417,486,565,909,411,747,299,928,841,063,021,
332,527,194,195,245,522,768,116,778,703,706,170,771,299,841,961,109,198,662,
471,751,452,220,849,029,224,612,362,102,120,289,437,375,569,946,524,631,896,
708,760,018,856,374,225,462,188,646,637,993,351,059,144,911,809,819,228,839,
678,085,102,547,890,770,683,264,971,664,688,806,752,424,645,805,813,586,319,
737,630,159,210,415,393,009,183,830,407,546,311,730,039,457,503,994,837,140,
390,068,180,678,850,364,120,760,811,911,117,827,758,613,839,955,960,585,234,
740,475,518,490,449,785,583,259,575,124,662,227,491,487,902,948,833,645,510,
310,599,349,617,453,089,797,467,949,380,779,094,104,491,366,498,630,857,934,
937,942,463,704,171,201,700,305,917,801,187,184,693,191,505,843,913,556,186,
837,840,747,355,084,938,418,470,772,904,960,720,669,746,761,670,596,898,193,
488,639,815,227,639,715,455,754,208,837,502,977,266,553,682,424,380,463,317,
522,348,875,389,026,532,636,176,803,315,463,857,387,957,420,673,218,496,625,
710,763,167,835,123,954,525,676,131,427,002,984,687,121,217,888,184,093,166,
999,301,501,763,672,873,366,698,653,594,957,716,220,979,484,346,427,371,718,
708,443,882,148,764,924,770,457,193,805,562,917,966,376,362,169,539,169,987,
453,820,898,986,670,938,244,132,207,794,449,465,560,424,327,698,793,840,720,
029,267,541,905,541,132,411,707,483,649,847,809,900,645,731,946,362,721,892,
167,161,903,401,718,740,842,522,099,786,401,208,682,523,234,399,512,829,081,
513,549,705,604,154,127,321,919,331,608,239,009,198,040,940,537,751,872,195,
126,033,916,220,526,835,044,745,364,924,920,693,096,049,808,053,279,958,273,
042,519,221,282,824,591,035,662,951,319,070,869,181,973,645,654,943,910,941,
674,107,109,239,997,034,238,183,595,833,720,520,222,861,976,640,732,041,259,
578,250,536,758,708,373,496,990,249,235,171,762,278,169,889,060,481,655,377,
588,855,525,351,826,517,402,914,262,279,315,281,125,015,516,494,593,734,908,
039,996,315,548,065,708,196,756,506,890,803,428,686,864,743,727,998,073,001,
448,158,707,813,128,835,299,304,771,927,730,022,228,944,318,647,979,517,423,
437,387,089,338,114,673,264,854,327,165,775,299,050,194,830,857,167,683,325,
983,066,282,694,756,624,561,341,266,942,929,995,629,220,943,462,210,121,692,
166,091,205,785,642,739,805,709,495,152,035,065,491,643,653,280,601,944,853,
957,320,403,353,545,698,747,559,966,867,013,298,930,233,993,294,510,022,509,
269,674,161,429,548,389,719,556,418,651,066,149,801,925,054,780,646,527,293,
675,144,195,803,655,539,356,880,826,174,055,165,737,212,578,436,720,182,635,
604,025,976,862,462,522,145,096,434,677,051,574,306,864,482,821,393,637,760,
304,026,150,444,922,206,171,434,552,409,381,975,588,406,881,524,341,648,836,
250,406,831,464,566,305,376,299,991,493,269,810,780,206,214,385,795,860,276,
812,155,479,522,251,756,000,385,507,567,130,444,529,037,285,768,724,184,770,
691,585,873,091,958,898,796,571,925,950,912,229,602,484,199,322,790,445,531,
060,150,055,041,153,999,141,606,768,030,294,095,165,445,942,296,550,806,659,
860,871,461,128,646,685,146,159,518,102,859,689,461,444,391,384,695,675,964,
795,007,574,841,554,038,282,701,636,847,534,047,859,550,672,309,811,713,224,
497,456,257,765,254,256,233,340,973,273,987,590,361,239,182,609,238,165,003,
431,676,347,080,848,027,723,953,952,141,016,661,526,481,579,943,872,033,979,
614,820,942,987,710,141,919,743,181,697,626,854,996,010,286,449,883,809,666,
199,724,063,390,253,116,552,685,915,563,577,734,031,870,606,416,159,071,405,
184,392,840,357,097,617,201,195,306,923,295,413,109,226,236,847,220,304,857,
876,427,679,847,873,480,232,061,694,398,051,609,231,534,688,132,969,100,097,
831,460,573,538,492,799,094,047,971,059,466,045,919,621,093,368,037,969,121,
651,642,077,445,767,409,117,462,599,896,746,408,254,494,605,866,347,276,776,
143,519,989,632,742,716,658,311,881,616,267,541,575,448,272,176,774,305,340,
211,353,391,473,573,004,291,667,051,253,010,545,397,023,700,514,427,540,794,
933,828,520,675,407,799,568,786,006,572,904,940,294,647,896,978,972,148,514,
862,688,519,429,636,454,429,649,070,031,964,850,409,334,217,837,967,026,530,
617,679,335,176,431,685,597,373,238,498,818,452,628,738,251,255,421,506,782,
785,681,914,416,298,112,254,337,962,421,379,964,909,819,941,507,767,492,555,
802,328,334,422,776,635,209,533,948,857,344,509,534,425,900,461,364,730,187,
840,357,387,876,109,658,569,803,034,626,401,507,451,361,983,513,230,076,691,
223,804,249,552,844,954,728,709,975,665,714,508,324,509,632,425,076,402,075,
461,802,722,352,181,513,912,728,223,408,996,583,384,161,835,521,973,967,919,
157,272,884,377,191,594,084,007,197,601,852,215,743,505,733,080,283,956,154,
708,773,624,751,285,244,701,489,358,944,453,828,418,538,018,236,174,932,484,
660,677,598,836,756,127,424,731,211,533,364,243,200,248,204,180,304,438,158,
588,072,521,905,513,537,037,481,632,336,294,381,015,846,682,640,456,187,256,
456,057,132,372,182,379,410,578,181,648,246,732,952,268,300,550,612,706,648,
969,779,314,518,961,522,488,345,544,759,868,727,092,407,853,854,591,075,510,
237,187,338,570,075,634,449,288,024,922,485,543,035,298,633,911,270,584,946,
939,866,666,290,849,053,643,419,890,251,792,129,560,293,279,572,981,715,142,
743,271,793,449,271,994,540,374,144,046,531,225,069,911,394,166,992,652,285,
292,422,744,081,003,314,293,066,734,881,649,518,409,546,958,292,675,069,415,
137,569,997,027,619,978,294,205,811,986,221,745,393,500,342,703,929,539,905,
802,690,411,628,198,559,734,951,174,296,049,275,290,404,449,979,667,945,802,
905,110,022,797,769,093,989,367,030,210,575,326,153,014,877,518,570,382,243,
681,060,229,350,342,357,618,087,509,272,239,014,850,567,928,100,839,988,779,
287,520,152,895,825,264,360,685,388,814,665,303,835,195,370,334,305,876,943,
361,388,136,740,937,256,417,157,854,300,337,119,976,516,898,754,454,837,893,
009,527,778,572,803,341,524,867,919,566,763,713,033,286,455,344,107,266,477,
593,140,045,302,571,583,592,075,390,875,470,917,052,931,652,276,519,220,059,
672,232,148,103,869,610,613,999,442,801,090,371,290,608,314,591,908,911,843,
983,395,890,248,805,678,918,575,519,968,790,020,805,372,486,331,135,168,540,
260,480,256,637,935,352,207,151,348,680,515,375,617,088,249,458,170,214,287,
310,931,040,515,276,123,307,123,782,333,465,565,334,292,440,095,441,866,553,
283,730,814,855,456,605,496,490,504,174,209,295,739,344,279,099,925,587,837,
630,048,417,403,109,768,881,509,071,310,409,129,788,980,818,893,666,437,041,
524,334,371,810,050,712,024,779,728,367,969,942,593,820,726,880,544,684,410,
273,918,176,581,213,615,730,846,775,118,732,541,871,009,545,037,849,237,881,
319,559,511,410,957,303,703,487,530,570,617,201,597,414,532,128,245,164,093,
892,002,555,506,584,268,375,065,739,943,609,671,363,646,565,140,523,103,629,
999,589,326,786,193,069,764,177,875,159,236,368,072,764,504,319,798,161,887,
658,506,672,524,797,133,402,152,472,880,181,075,134,910,225,669,817,672,381,
968,798,720,838,643,801,126,887,086,188,910,374,498,815,216,670,498,801,552,
163,648,708,529,133,323,381,915,672,560,603,175,855,346,081,141,006,613,414,
941,956,514,328,842,883,680,687,467,084,624,966,220,748,912,884,680,338,511,
213,886,948,237,881,110,295,411,974,376,096,400,656,299,573,584,533,103,961,
397,518,229,601,444,129,774,997,947,459,886,466,980,069,708,782,746,441,624,
882,005,372,601,470,572,447,583,434,279,163,197,520,386,553,340,299,749,598,
683,129,349,007,474,018,326,923,569,562,883,988,919,162,379,327,561,304,019,
074,954,593,331,154,777,846,794,804,001,393,368,781,407,997,300,516,436,366,
796,893,540,838,526,353,412,649,313,408,620,036,937,261,291,994,881,018,972,
167,816,284,259,150,673,092,093,073,708,173,514,809,036,841,652,889,498,768,
040,494,394,591,040,738,508,721,929,084,824,241,162,513,650,722,643,566,888,
643,873,258,239,372,262,072,579,300,668,651,805,299,681,519,774,142,433,789,
171,104,755,449,102,554,026,397,915,485,038,867,863,311,377,935,070,334,398,
230,509,265,245,926,844,559,186,913,808,073,844,975,006,009,048,198,783,444,
911,206,595,188,564,263,923,294,339,445,076,629,898,044,367,600,279,664,649,
762,367,438,262,781,948,298,924,914,959,348,886,682,093,254,792,175,332,254,
342,815,015,377,403,725,901,867,666,611,537,000,549,216,949,904,385,368,065,
453,118,065,155,039,292,485,856,558,167,890,572,564,752,301,508,785,831,548,
503,465,691,440,864,415,502,753,364,222,102,102,741,911,336,121,052,264,075,
421,955,126,971,360,297,029,184,595,199,983,978,553,253,561,562,745,283,553,
171,835,974,890,929,111,139,158,604,053,959,699,990,522,649,657,127,551,518,
539,616,617,968,549,335,984,244,386,108,487,226,377,733,929,473,800,443,621,
622,949,324,330,267,604,277,299,219,321,367,375,411,398,216,562,687,270,301,
281,816,479,553,947,282,087,062,190,434,852,220,663,176,527,494,221,564,802,
135,062,861,205,443,315,426,939,361,628,140,942,189,600,781,930,323,989,150,
511,665,322,909,557,714,047,522,755,996,934,389,136,044,812,913,584,388,220,
121,455,848,005,405,523,957,823,125,253,868,582,893,453,200,085,892,067,210,
091,235,372,471,832,936,637,145,007,222,057,543,369,801,632,481,263,803,618,
001,636,556,766,024,585,534,005,265,402,269,833,544,051,944,034,226,482,981,
228,794,045,647,972,924,024,327,329,728,755,398,061,408,538,729,256,461,261,
034,907,194,846,142,633,191,192,450,540,408,339,098,081,071,448,899,540,561,
811,746,588,520,376,586,998,109,724,650,968,786,059,850,083,893,930,520,956,
778,319,930,178,174,115,808,148,307,920,467,429,807,549,305,726,825,446,124,
552,067,770,660,363,728,714,846,520,536,256,670,271,431,885,229,627,935,926,
418,335,656,040,571,918,292,275,237,481,462,077,651,290,145,548,979,723,607,
002,849,407,813,064,730,658,999,360,780,501,944,350,841,365,977,942,171,414,
852,659,175,197,854,688,280,753,123,410,060,756,400,884,330,722,697,046,526,
943,051,042,727,692,827,448,690,863,790,086,859,045,586,156,120,808,491,010,
577,180,229,153,396,959,404,418,664,530,493,146,074,101,096,372,260,565,070,
230,870,012,962,446,930,675,473,784,343,456,158,628,113,333,950,703,149,634,
220,548,043,329,185,353,257,358,492,683,749,398,075,061,539,729,484,803,046,
191,426,709,874,280,481,214,336,657,636,439,107,586,887,686,506,178,082,418,
475,565,001,203,445,059,737,466,987,225,448,473,865,193,212,502,074,729,472,
981,671,577,845,706,693,026,217,585,767,992,239,563,543,416,582,937,246,136,
641,496,139,752,290,378,646,158,747,295,458,172,649,342,686,160,975,572,886,
498,585,569,939,908,391,412,433,851,099,274,575,890,080,119,975,623,367,258,
216,542,448,942,920,250,105,407,692,484,816,334,329,711,514,060,025,750,378,
311,341,247,223,504,860,294,666,625,712,635,854,351,628,835,004,918,601,689,
616,605,834,420,225,413,312,475,628,896,449,873,735,722,991,630,518,501,897,
770,682,554,629,918,279,233,638,420,671,935,071,062,745,631,573,415,260,910,
663,940,696,065,998,712,402,869,540,369,686,179,014,133,515,073,800,124,251,
387,881,632,777,950,569,452,919,079,206,865,277,021,146,541,608,087,501,476,
716,739,520,735,112,161,861,399,288,141,341,108,729,368,032,798,958,454,085,
285,070,975,367,077,593,095,597,776,597,358,321,038,137,962,273,870,133,337,
592,103,676,631,830,002,348,264,135,261,688,614,616,016,536,994,323,133,255,
301,336,187,874,956,424,248,294,553,592,906,936,630,068,300,733,468,592,757,
942,768,070,614,340,353,191,004,217,635,223,771,922,017,922,909,393,017,435,
732,920,677,205,640,251,467,315,302,869,291,392,705,260,363,295,180,630,486,
071,604,879,093,346,842,976,347,363,121,925,507,191,743,028,831,117,310,857,
948,743,271,416,420,018,459,064,713,357,089,546,616,282,773,391,765,048,993,
743,252,060,124,855,136,424,898,293,227,438,849,096,517,051,887,276,183,808,
737,144,512,781,005,132,874,541,894,792,117,945,058,310,685,796,470,198,659,
744,397,459,818,546,535,317,992,365,407,902,968,192,576,031,297,273,089,526,
148,054,749,443,188,243,821,023,164,804,627,537,276,769,323,978,949,687,952,
178,598,013,326,608,417,972,095,947,916,130,051,765,492,660,386,722,780,278,
910,375,212,831,513,409,015,753,106,136,122,195,228,796,376,985,339,677,291,
097,571,715,715,245,415,497,256,588,186,953,976,375,072,738,520,779,484,632,
042,082,621,589,387,607,313,673,795,231,223,152,410,927,828,137,761,389,818,
252,068,787,664,769,735,763,266,753,157,794,880,681,583,298,785,043,932,971,
763,127,385,028,975,239,937,609,608,943,003,518,418,716,549,272,396,005,339,
163,766,056,289,347,232,718,771,165,333,212,279,474,296,226,067,964,115,157,
960,516,646,409,715,945,113,518,328,501,411,442,663,444,932,696,038,365,504,
496,855,180,030,178,536,877,748,333,486,739,019,627,287,402,123,829,900,340,
630,830,476,970,633,019,529,501,688,534,984,118,114,858,021,619,675,190,723,
342,580,618,305,488,831,577,202,930,180,972,165,073,199,575,555,331,439,632,
863,799,456,629,131,250,697,648,970,444,550,125,509,578,610,190,863,922,085,
540,839,450,467,693,780,651,863,592,484,987,589,270,872,690,158,393,658,550,
001,272,018,686,643,697,449,467,426,042,511,813,454,332,362,413,630,923,127,
140,499,835,410,635,092,806,475,477,274,860,700,329,352,824,568,294,942,395,
326,199,647,300,685,090,675,592,525,252,660,592,419,082,355,438,393,510,700,
596,641,565,978,859,860,142,431,563,496,685,685,873,252,245,162,010,588,481,
838,311,583,332,960,761,046,930,704,013,826,244,049,251,040,928,236,195,774,
300,174,517,731,174,878,916,249,174,823,469,716,215,982,801,902,266,788,534,
649,253,336,688,708,936,720,632,900,621,288,225,363,006,110,760,955,023,787,
697,858,514,085,993,671,513,929,294,521,675,285,792,370,334,747,572,964,222,
668,700,004,620,802,924,905,886,884,156,828,827,291,629,724,922,297,994,218,
946,419,847,979,708,082,749,471,484,966,003,536,195,583,719,648,336,066,134,
566,389,739,008,962,503,069,004,239,079,495,163,735,492,294,870,782,230,947,
046,762,082,065,947,783,058,905,892,758,293,272,585,108,215,274,527,649,518,
840,598,774,670,270,634,681,026,013,302,183,032,720,268,159,802,785,693,819,
323,412,498,270,175,360,828,890,758,661,120,722,028,306,908,557,303,357,168,
391,111,551,834,338,343,066,975,019,216,610,442,657,347,536,492,980,952,224,
584,885,186,032,658,159,928,778,369,439,444,681,802,456,319,753,860,481,927,
334,500,583,457,936,424,619,258,450,003,383,554,656,203,968,917,983,409,671,
597,581,521,391,873,434,202,248,252,124,986,860,451,540,938,896,108,734,213,
862,709,518,327,603,063,778,178,051,594,809,093,453,618,332,985,657,039,332,
927,249,197,362,426,654,238,749,404,260,354,942,543,002,613,003,925,763,459,
719,362,358,290,592,743,210,415,779,666,347,694,575,178,217,563,088,574,855,
446,192,960,962,760,240,669,359,401,129,515,294,284,833,364,183,392,079,265,
120,920,317,074,207,555,095,793,911,166,902,024,913,032,833,703,379,657,829,
828,130,179,775,488,398,860,855,720,221,119,905,812,218,459,687,240,274,641,
029,175,732,547,127,013,462,544,935,144,131,125,236,471,500,315,224,611,979,
109,487,349,533,183,511,138,873,372,486,968,859,026,319,370,744,060,755,888,
457,839,104,683,108,716,398,774,053,003,139,559,674,981,127,198,765,062,262,
471,549,557,533,027,226,590,715,141,719,594,058,394,166,041,932,733,623,101,
558,639,007,910,333,830,750,050,217,384,484,449,170,153,979,851,069,242,003,
529,126,500,648,028,346,460,055,007,906,965,950,352,985,744,714,943,525,581,
039,723,527,034,401,791,886,585,829,561,239,090,427,739,600,677,543,126,960,
223,706,709,988,724,191,565,145,745,654,789,222,905,532,410,272,702,203,845,
291,492,338,048,174,727,023,366,616,823,079,921,056,023,453,407,514,991,841,
520,066,918,866,983,307,788,667,834,400,514,518,596,961,452,889,754,668,439,
666,033,414,372,105,927,332,564,077,744,473,505,876,758,269,544,265,955,393,
439,243,601,407,080,474,178,529,528,641,675,813,755,041,632,232,633,565,610,
321,234,572,539,814,342,568,853,382,662,224,645,744,779,388,621,163,832,757,
273,254,375,680,486,904,734,052,657,547,228,954,049,881,784,117,906,075,854,
373,546,572,462,427,499,219,868,246,087,670,078,317,973,926,868,601,021,312,
870,037,488,618,775,044,258,377,434,958,688,895,783,812,130,086,784,739,244,
617,046,712,553,702,771,898,616,425,427,698,626,840,716,799,820,469,406,378,
103,141,278,340,597,061,314,197,411,334,707,999,612,204,180,883,655,715,816,
172,044,371,925,192,779,825,042,408,234,078,379,592,031,997,088,139,955,066,
314,734,350,265,201,657,393,934,499,405,123,969,451,489,542,200,411,578,226,
956,842,178,223,475,970,825,177,562,600,407,198,084,178,365,934,795,945,986,
584,338,002,696,505,481,999,713,070,398,072,590,132,024,600,974,027,844,549,
414,862,233,006,758,163,695,035,479,530,295,774,193,598,383,280,687,791,774,
699,066,971,032,983,720,501,548,546,860,447,187,526,048,395,196,185,131,434,
060,811,609,659,773,720,538,732,366,842,606,937,750,577,287,457,901,775,135,
745,749,230,313,957,239,011,008,269,147,080,096,443,582,169,303,699,538,444,
367,861,471,713,958,174,956,322,880,722,229,164,408,513,135,656,836,185,057,
124,190,926,766,157,311,023,952,869,685,279,326,547,574,549,032,776,803,635,
019,763,860,914,396,244,223,878,708,777,876,904,910,808,032,413,312,466,317,
936,782,064,469,729,423,168,029,481,056,690,517,602,186,625,455,245,076,263,
185,897,922,536,112,393,906,616,966,125,505,609,540,508,377,602,388,587,413,
121,208,165,751,006,772,852,638,404,370,915,032,868,265,515,975,475,827,641,
720,586,624,550,670,283,291,080,336,962,084,386,159,952,823,338,529,871,882,
093,298,573,454,546,396,464,543,137,363,492,638,904,159,426,680,498,186,475,
304,421,129,578,357,138,375,711,503,080,918,271,344,079,757,086,780,163,829,
042,386,084,235,413,788,619,057,889,514,372,585,384,735,010,246,308,888,345,
195,888,203,837,253,389,812,457,091,560,824,459,760,063,570,152,658,467,595,
084,665,514,189,258,074,063,335,609,478,684,031,750,865,047,456,482,562,319,
412,561,536,250,520,864,360,108,830,817,000,650,625,051,788,916,220,798,964,
189,586,320,263,356,010,627,452,334,946,757,218,672,655,701,144,714,310,817,
091,489,260,213,466,189,940,099,963,115,924,104,982,227,901,626,853,363,929,
411,206,313,994,966,908,557,335,587,421,410,124,388,386,761,691,594,967,193,
876,890,990,499,936,028,919,356,980,370,919,926,273,300,047,557,062,738,269,
644,736,674,591,856,665,665,804,073,074,107,456,541,199,236,453,023,307,562,
181,644,564,840,394,629,950,420,716,871,856,524,213,838,380,660,116,614,848,
459,911,716,127,163,954,803,208,869,346,059,666,103,210,093,145,747,106,081,
447,310,577,244,884,888,319,824,347,867,430,265,419,000,220,344,178,892,815,
267,359,649,491,817,240,473,290,641,804,392,543,826,070,335,698,503,421,712,
184,686,388,632,534,072,164,030,607,902,370,426,313,756,853,630,391,225,457,
806,288,589,129,310,068,229,866,725,833,136,613,326,030,356,910,897,441,814,
550,966,182,245,995,233,408,241,716,397,702,150,885,297,755,028,686,295,119,
618,604,590,242,500,538,608,775,651,996,100,442,048,527,593,481,373,792,983,
332,973,370,902,911,739,423,879,679,190,842,212,440,080,888,313,113,209,853,
010,574,639,367,798,525,397,736,769,498,051,716,198,123,087,799,974,866,961,
827,076,783,079,389,222,606,607,995,266,653,583,667,253,696,966,352,975,721,
269,109,101,898,659,517,593,022,950,787,135,513,623,885,028,115,434,461,713,
584,811,443,259,753,331,429,005,357,063,888,111,336,997,849,496,785,976,935,
355,331,927,681,256,807,777,391,361,698,289,513,759,537,524,389,876,211,554,
459,279,545,741,978,575,898,521,613,258,666,774,703,679,976,834,186,650,957,
864,298,029,995,697,539,082,390,521,406,061,430,214,761,949,115,766,278,039,
436,840,739,244,304,214,516,611,497,608,814,234,595,454,186,256,959,435,428,
937,088,734,232,806,337,136,832,366,672,644,310,039,282,033,923,949,467,858,
561,425,653,435,091,491,447,443,475,360,314,667,038,816,796,273,720,675,209,
612,950,066,490,335,960,203,099,380,522,884,813,068,979,705,858,388,163,276,
220,575,126,737,834,866,181,960,073,280,073,597,541,613,013,895,965,369,410,
591,238,538,940,681,985,923,186,803,728,690,722,752,342,751,768,994,891,607,
426,913,280,564,271,886,953,191,581,208,019,800,454,622,472,067,036,794,272,
294,023,998,878,701,433,641,350,178,925,623,547,728,329,104,317,039,148,008,
849,999,754,666,615,380,984,102,634,449,870,504,584,608,122,376,949,036,572,
791,651,494,948,981,299,687,570,035,268,755,518,033,939,454,342,102,410,535,
761,075,866,867,351,186,604,794,030,032,874,566,480,786,193,804,853,671,749,
152,294,912,018,545,426,493,786,106,383,206,149,333,532,998,391,429,781,520,
310,348,801,508,572,311,891,201,909,787,324,849,022,564,163,863,494,291,951,
362,087,100,792,413,746,208,149,338,196,220,346,585,425,453,911,577,502,081,
724,546,652,411,034,735,903,299,228,550,084,879,337,167,523,953,276,952,512,
506,505,536,018,339,851,770,367,542,896,397,708,671,048,161,529,927,028,757,
901,250,184,879,684,089,049,479,645,512,428,072,794,499,515,331,722,916,341,
872,528,073,571,224,187,501,344,943,661,603,273,777,994,342,041,138,484,646,
387,979,882,317,031,496,095,320,912,276,806,712,846,531,473,699,420,179,161,
443,145,718,860,343,296,383,197,241,618,451,824,931,324,779,088,171,881,381,
728,148,464,331,308,370,347,749,219,212,162,274,081,595,441,279,198,015,509,
722,726,714,705,918,208,040,974,804,052,237,717,231,371,718,348,562,372,609,
877,897,229,330,492,190,553,403,724,239,439,282,640,744,487,922,431,568,476,
561,955,891,877,680,955,415,142,209,171,753,427,509,105,756,633,170,307,820,
449,983,697,195,181,486,302,822,867,766,527,612,520,564,809,855,011,721,225,
903,979,953,080,586,119,882,713,712,938,546,404,332,455,344,529,266,473,516,
604,870,584,613,626,702,310,683,017,176,936,124,508,244,064,870,809,918,588,
378,663,226,307,707,287,396,206,528,432,262,313,683,320,400,525,671,583,954,
083,744,181,899,199,421,016,182,603,832,391,423,374,356,112,191,051,884,783,
592,104,201,550,212,613,492,207,182,224,153,419,687,038,327,283,349,042,092,
187,099,777,119,293,848,235,906,585,518,578,007,289,548,095,723,131,603,586,
312,822,268,253,318,626,376,595,242,106,818,932,436,008,101,872,156,421,541,
730,579,010,163,226,338,457,670,578,035,016,472,787,603,203,813,727,299,617,
592,494,413,128,171,576,197,561,493,156,870,195,963,157,728,328,792,908,504,
032,029,804,558,385,781,732,275,294,148,218,924,207,374,505,371,682,013,879,
667,707,976,775,639,841,668,187,655,934,376,147,708,508,131,560,782,510,807,
830,693,992,250,235,109,036,512,508,649,701,737,121,373,857,762,856,707,607,
673,984,940,900,206,732,923,807,647,763,421,868,234,730,688,753,605,887,801,
156,295,786,643,274,596,630,638,479,549,929,649,214,502,463,332,130,395,252,
916,928,029,518,727,505,793,016,569,526,125,453,735,829,254,297,668,398,880,
678,921,957,101,536,606,336,214,316,212,502,248,416,125,081,561,397,294,507,
293,626,955,501,319,905,013,520,811,007,473,150,112,151,485,156,047,486,695,
680,871,774,108,928,869,151,826,082,211,736,485,357,196,964,924,962,306,035,
386,821,196,892,427,698,904,422,302,246,205,005,537,811,137,819,368,672,605,
852,755,552,221,519,130,583,715,235,385,755,384,083,640,596,798,636,765,556,
500,839,638,289,531,226,335,852,749,611,816,723,350,170,997,600,211,552,296,
298,751,437,323,094,885,078,099,667,371,710,543,376,017,100,117,316,260,310,
157,808,012,786,862,510,233,477,057,656,696,024,935,590,470,981,785,229,730,
159,312,953,821,280,331,897,185,944,960,050,751,250,705,273,182,289,042,606,
628,954,216,204,976,732,296,500,347,380,802,875,958,419,225,650,512,842,091,
228,953,182,031,296,331,750,475,794,570,337,052,942,180,985,746,638,874,816,
024,073,391,242,412,664,509,926,179,719,438,440,581,494,445,671,869,507,999,
637,876,338,796,444,035,900,551,398,467,910,722,353,801,405,136,579,815,836,
095,177,162,883,406,067,142,573,667,715,617,221,742,372,999,153,997,006,575,
063,855,233,067,423,498,252,048,414,145,945,585,131,469,907,278,397,664,641,
282,432,282,740,770,197,105,838,763,776,487,397,076,015,509,004,234,169,140,
443,385,492,510,927,736,509,590,486,716,761,374,728,303,231,525,375,047,763,
004,508,468,775,479,568,086,692,652,278,702,078,119,100,890,461,785,251,757,
604,991,386,308,040,651,815,113,335,447,768,258,780,325,712,141,099,137,573,
460,203,322,935,537,330,634,239,611,977,869,597,022,127,782,666,508,167,126,
104,035,363,528,109,135,596,337,714,467,166,323,745,721,718,779,929,117,702,
212,625,622,363,022,947,462,570,199,402,509,226,959,066,864,137,057,177,537,
523,602,437,168,507,192,413,129,855,127,536,297,702,759,562,666,015,534,996,
040,263,809,178,172,476,573,807,196,391,611,029,424,764,353,975,118,856,400,
241,420,265,465,993,096,543,057,694,804,020,215,537,026,202,367,330,909,852,
247,369,561,552,025,077,889,337,531,115,576,695,094,837,728,876,678,460,251,
446,305,970,427,560,166,604,021,961,758,236,856,544,517,053,967,446,251,286,
194,492,311,607,275,020,078,763,864,667,004,227,575,375,538,894,028,144,800,
173,623,737,413,750,438,751,135,299,812,626,382,789,231,385,341,787,014,807,
684,472,691,480,084,866,208,273,410,379,667,583,626,928,716,508,030,633,445,
556,690,129,734,949,600,954,970,660,913,261,424,209,312,627,319,600,879,801,
259,778,908,272,761,948,150,853,091,635,960,077,606,450,519,882,618,980,617,
962,046,022,927,538,902,137,239,146,219,059,260,404,100,166,428,915,309,964,
363,695,679,297,538,227,190,501,388,810,447,835,785,996,726,661,448,018,177,
310,909,150,913,794,338,575,487,303,746,401,063,311,962,578,755,245,318,530,
020,016,110,026,565,188,733,472,323,314,150,051,526,955,278,047,314,619,114,
857,613,012,688,134,593,834,094,199,727,306,431,865,630,660,129,910,810,740,
944,437,174,022,563,470,315,944,798,237,967,887,597,143,893,222,913,516,394,
624,174,592,519,912,475,779,579,119,136,505,587,714,084,674,714,146,890,099,
162,460,604,082,451,240,513,678,668,023,841,358,178,154,156,804,484,344,835,
104,985,667,760,206,099,654,322,450,900,396,353,757,551,217,827,416,304,278,
153,029,396,971,742,498,958,693,776,707,378,134,121,933,474,242,338,607,672,
506,323,296,519,896,691,976,738,390,307,247,525,755,097,876,804,522,880,495,
604,439,380,720,018,006,469,755,115,545,445,596,880,598,100,447,123,365,221,
995,421,300,598,969,392,476,265,243,612,876,697,602,620,873,137,966,931,343,
794,905,054,142,147,266,710,450,155,361,918,612,688,484,139,005,528,224,762,
238,477,598,940,151,239,196,833,289,024,599,935,567,438,477,729,762,914,222,
031,230,405,879,395,035,838,062,860,066,976,934,318,695,194,169,754,357,145,
787,052,345,097,560,040,899,463,055,412,256,468,410,974,373,291,885,160,974,
344,912,139,042,706,733,100,580,873,787,035,985,654,042,221,648,958,316,641,
713,229,214,853,862,166,307,662,823,016,847,227,220,232,027,942,926,454,331,
010,180,139,387,744,929,635,643,334,464,026,895,957,926,632,377,191,159,689,
668,790,626,380,815,581,675,798,453,582,612,514,906,085,805,735,465,832,702,
829,782,400,573,143,352,449,772,574,039,441,096,633,626,789,745,238,779,700,
480,382,436,056,370,057,680,887,157,893,103,037,042,487,313,834,687,639,502,
567,052,649,017,275,829,306,745,897,641,243,268,763,301,297,120,176,942,107,
155,071,389,297,847,083,529,357,180,161,607,427,160,227,228,845,933,788,305,
598,756,709,889,376,096,904,577,369,899,350,821,013,766,770,304,091,133,143,
353,836,071,732,166,865,050,281,380,875,158,007,309,729,483,245,681,154,464,
240,697,766,426,915,226,483,244,994,861,075,961,449,844,623,277,586,694,649,
449,621,260,164,457,438,998,567,161,188,180,687,670,431,415,883,331,788,009,
704,299,948,497,477,441,182,500,975,375,609,398,588,098,639,195,681,289,089,
980,555,938,243,861,930,095,687,159,482,790,431,567,877,292,863,674,386,008,
586,161,173,609,790,143,628,734,844,677,566,043,522,020,190,097,241,353,547,
413,334,944,766,144,696,655,013,162,964,217,428,031,051,247,051,198,881,791,
330,897,115,455,178,458,720,840,155,751,847,081,555,550,552,647,737,961,288,
480,359,541,084,195,258,784,390,819,242,061,360,237,245,090,761,635,009,717,
846,619,002,961,361,933,943,808,930,629,401,760,982,602,233,607,432,065,900,
918,090,007,975,193,154,680,896,998,226,908,505,282,220,978,701,663,168,719,
647,421,124,133,151,357,008,810,128,921,740,091,489,519,282,688,363,373,962,
199,891,198,076,709,121,996,304,678,626,429,845,710,238,513,538,627,707,117,
745,896,056,545,265,126,087,193,718,243,564,838,348,196,947,496,347,420,766,
434,881,681,546,913,506,801,821,083,244,659,594,899,896,291,805,304,523,570,
964,609,142,485,150,533,549,575,414,136,578,099,294,972,267,471,309,501,795,
517,227,759,942,597,563,231,422,063,135,753,475,494,600,932,464,272,489,106,
884,585,593,340,421,834,087,634,347,281,938,486,195,066,895,168,753,385,442,
962,968,501,874,945,743,106,133,461,614,574,138,483,691,344,145,857,568,544,
953,353,214,764,234,194,874,244,789,890,599,751,515,238,146,807,723,157,495,
305,385,133,122,274,582,198,527,887,820,137,010,522,546,063,714,737,524,858,
205,202,070,839,119,184,090,247,751,102,690,731,587,334,090,874,008,627,148,
313,402,823,666,879,153,322,307,682,698,497,470,643,278,290,098,688,343,879,
177,576,866,734,622,160,647,206,252,432,711,578,793,650,857,175,546,919,113,
703,493,537,815,798,595,749,562,038,839,807,662,499,564,403,460,243,065,742,
889,897,425,276,364,475,580,926,763,278,971,201,410,397,080,216,407,771,591,
306,748,834,257,060,688,571,566,203,703,382,514,216,410,487,449,975,876,694,
687,170,704,897,337,090,651,150,027,441,547,331,359,830,346,347,685,090,198,
475,276,702,728,203,713,240,966,723,263,467,263,765,457,440,574,807,590,658,
618,712,178,367,104,274,986,751,474,576,744,126,065,993,965,196,658,326,205,
974,584,628,289,417,307,790,420,110,789,406,481,882,096,489,391,910,597,538,
407,217,685,911,400,964,607,358,779,167,547,784,653,314,884,557,182,780,515,
441,684,225,917,915,744,535,952,559,618,998,795,421,677,791,758,551,936,541,
617,226,084,509,273,638,151,709,726,095,745,991,635,607,800,946,069,934,967,
008,161,723,186,732,082,096,842,729,161,455,590,990,301,808,171,726,915,539,
659,300,830,220,330,894,069,168,169,288,411,850,707,658,005,935,021,212,765,
207,975,071,055,436,321,325,168,550,036,496,352,068,723,334,377,047,012,597,
195,212,642,689,357,511,204,444,615,105,466,565,580,526,311,364,847,829,232,
508,313,390,496,237,060,683,418,973,627,031,325,800,166,398,855,002,411,100,
619,512,323,701,863,356,662,142,030,238,948,531,674,224,625,553,924,955,530,
776,596,363,107,547,630,701,175,147,555,859,050,209,862,019,937,980,094,518,
857,558,923,303,181,482,606,070,583,694,051,567,189,178,497,709,923,110,049,
647,756,917,614,287,049,422,772,357,317,360,068,293,877,998,429,991,811,236,
160,500,046,428,298,396,149,657,508,930,010,799,734,327,909,188,533,768,565,
031,536,522,149,677,231,279,003,100,503,098,081,761,752,474,019,217,765,689,
747,086,974,913,798,088,104,842,259,253,551,528,390,233,036,396,810,944,152,
828,512,380,834,847,268,275,296,791,785,083,520,421,670,103,039,239,861,996,
231,221,641,112,222,225,256,026,742,826,155,416,111,785,007,735,220,851,059,
686,079,323,594,868,399,677,553,058,818,962,216,912,261,498,253,742,026,324,
038,975,350,710,319,378,294,288,867,352,223,097,958,709,544,061,285,441,017,
345,573,566,013,899,496,941,110,806,397,846,099,863,296,155,777,234,820,888,
848,283,672,688,985,876,255,638,946,791,914,056,368,068,883,822,869,096,741,
441,335,947,641,351,060,731,869,630,183,544,511,226,279,609,741,697,797,178,
832,523,452,829,402,563,641,864,464,279,321,887,621,342,670,986,968,048,450,
793,196,031,552,336,769,174,857,973,905,784,762,860,349,065,388,827,200,219,
001,214,021,113,875,378,838,238,611,296,131,759,816,450,267,553,721,939,317,
685,590,285,655,235,285,108,149,728,276,488,606,413,656,145,672,269,273,942,
384,649,577,481,980,483,808,530,183,227,976,113,079,985,429,023,988,067,375,
016,445,966,296,736,368,600,386,405,173,364,506,281,953,995,084,801,916,572,
043,959,968,353,943,928,561,603,627,067,346,265,986,135,975,600,048,699,858,
441,702,556,269,635,383,752,874,497,996,781,749,028,216,636,949,592,273,815,
835,461,903,594,359,971,802,717,374,751,190,625,842,042,593,830,073,202,045,
931,970,719,553,015,683,502,588,779,797,754,077,355,693,748,349,016,213,029,
289,516,173,615,423,614,028,188,877,616,728,863,687,731,959,800,980,194,567,
997,903,872,366,067,903,731,262,223,305,395,585,049,610,476,274,201,932,871,
176,335,772,393,117,728,587,123,042,416,340,309,526,148,112,496,403,260,399,
227,659,125,293,611,265,953,413,372,550,521,826,958,553,943,771,866,240,304,
978,924,948,813,076,029,404,676,666,292,549,172,792,030,482,322,488,828,209,
314,756,486,593,219,659,682,095,339,321,756,652,309,748,420,000,936,610,947,
133,275,546,732,713,210,386,353,823,921,320,019,728,697,059,268,216,132,347,
737,418,583,016,734,054,238,632,591,897,645,894,370,583,784,747,388,818,352,
274,156,118,782,902,597,897,770,454,754,546,447,537,172,173,397,863,598,268,
921,750,594,630,555,527,387,301,129,035,828,497,467,323,957,049,559,809,636,
086,493,294,207,793,599,698,472,599,616,367,741,646,974,817,046,246,158,861,
103,867,322,129,147,423,645,302,261,649,368,328,307,258,111,537,401,477,919,
636,251,320,166,051,095,728,297,516,609,458,798,181,468,702,336,307,617,060,
220,416,976,210,984,040,215,073,733,757,213,234,891,619,900,816,111,866,041,
554,100,699,325,545,070,934,915,106,496,270,409,463,978,187,759,223,897,877,
931,426,979,718,332,625,178,096,642,030,325,075,429,412,330,379,285,697,031,
503,448,552,414,543,213,435,891,263,787,421,539,594,592,285,355,831,439,196,
500,816,445,524,739,091,680,721,162,846,166,865,897,600,867,802,579,289,128,
606,963,740,756,785,472,902,114,179,389,056,778,662,296,673,083,574,745,751,
170,237,215,401,341,567,416,446,213,886,785,099,046,972,735,455,001,179,567,
495,840,983,363,763,514,836,656,879,542,697,439,725,482,973,782,080,477,795,
430,895,560,374,810,264,836,894,852,163,066,518,433,569,181,963,367,766,138,
138,377,950,200,524,934,364,991,220,234,700,049,672,335,505,007,691,956,444,
902,471,056,846,825,146,765,124,634,120,101,336,903,575,209,799,219,968,155,
696,577,530,694,651,514,520,515,016,219,727,978,441,217,699,082,744,118,263,
307,223,668,350,527,593,543,906,059,035,160,177,887,909,827,461,269,692,998,
090,102,250,468,598,266,925,880,627,175,934,862,456,549,175,357,017,807,837,
525,049,385,744,071,320,213,178,822,288,595,421,250,290,233,464,909,425,171,
346,319,692,990,093,064,887,505,981,451,714,648,232,029,937,192,936,843,106,
037,359,478,528,977,217,518,627,680,401,171,325,429,065,721,988,065,989,432,
602,014,939,737,196,476,774,131,758,862,392,768,052,285,228,677,933,340,199,
930,284,777,613,142,594,197,085,134,638,633,584,469,747,888,218,606,022,044,
302,924,651,949,599,639,772,501,022,192,393,963,536,667,789,585,990,038,700,
387,585,678,416,566,432,124,706,255,264,031,986,717,788,493,673,538,215,655,
504,878,147,753,828,467,876,624,654,447,652,109,139,123,249,522,226,491,231,
033,079,873,943,853,230,580,214,621,735,728,891,233,987,251,683,682,357,891,
480,818,751,892,604,246,178,388,511,011,442,937,541,481,058,471,446,628,911,
857,009,268,083,273,994,194,958,337,298,080,588,915,266,228,979,462,634,660,
901,632,275,768,448,224,071,223,401,966,813,316,983,360,918,086,870,696,501,
336,810,014,364,580,065,177,129,347,560,202,194,132,946,416,638,339,417,681,
720,746,920,275,933,123,669,821,551,553,544,717,844,627,875,683,910,581,199,
583,390,652,972,111,192,106,598,569,455,504,444,107,325,063,778,254,456,834,
710,590,979,215,208,049,828,930,580,289,162,494,285,873,350,403,541,144,370,
307,327,893,470,493,565,010,904,976,906,466,529,308,496,746,021,963,025,709,
034,576,954,827,593,006,392,606,048,589,755,341,044,270,744,334,270,177,384,
372,775,696,697,730,500,888,356,387,854,023,073,925,990,057,940,606,872,283,
672,285,005,699,641,922,581,527,013,093,403,618,953,137,442,794,228,507,741,
728,968,953,381,775,570,293,063,101,124,020,861,230,521,933,231,225,118,166,
031,595,129,869,946,558,208,110,900,920,095,650,099,508,482,894,666,504,134,
684,289,456,745,995,594,527,290,369,450,226,775,692,038,526,298,624,952,795,
342,863,377,596,002,317,698,334,642,653,690,450,703,501,963,843,246,528,110,
738,139,517,874,085,012,754,820,709,147,740,408,706,322,523,338,673,229,620,
763,333,587,963,283,510,651,905,301,005,455,048,307,691,471,281,783,640,146,
754,262,854,756,873,689,892,409,453,948,575,711,509,618,319,798,398,212,559,
263,128,523,253,550,652,804,912,882,227,115,257,015,178,129,247,170,374,382,
785,825,417,468,979,786,096,573,403,545,678,090,164,811,829,264,630,890,390,
717,545,778,303,111,126,780,013,009,666,650,862,478,743,748,887,906,571,782,
672,270,438,019,708,958,440,179,645,636,249,882,752,183,458,976,503,669,364,
422,096,655,589,249,040,072,168,623,815,921,170,059,479,881,812,159,826,817,
653,230,027,627,216,449,889,230,069,545,260,826,842,355,944,040,621,458,891,
511,155,037,509,227,122,883,039,024,878,668,437,360,510,677,062,962,684,713,
107,989,330,247,094,251,639,539,819,296,755,822,874,612,419,066,937,836,469,
366,159,178,862,118,744,214,904,863,636,017,309,398,502,042,753,106,855,389,
716,280,892,883,243,380,166,106,303,034,779,723,577,586,023,742,215,011,950,
273,731,654,315,594,920,269,927,002,903,385,573,735,558,633,050,826,478,188,
660,264,401,654,280,633,349,136,002,118,099,475,899,818,668,774,388,469,750,
773,776,991,810,643,196,026,227,966,217,645,360,292,256,526,566,126,331,755,
653,134,299,872,494,693,112,989,734,814,361,816,760,170,688,599,541,260,815,
423,023,092,908,981,304,594,937,300,188,541,159,800,437,651,518,608,575,581,
272,833,576,423,707,331,002,809,498,541,272,026,194,902,674,057,456,604,069,
076,924,756,082,891,711,661,631,462,667,478,743,826,044,620,845,477,758,744,
319,697,548,411,681,624,395,354,875,258,167,867,861,098,652,612,313,529,448,
183,352,405,901,117,113,911,242,699,344,460,842,554,952,014,973,174,376,148,
784,203,353,609,716,702,654,629,696,455,702,429,999,788,498,941,132,853,400,
275,111,642,122,355,567,947,041,501,614,192,718,893,142,609,025,969,818,566,
997,533,620,276,843,974,612,137,409,439,581,183,568,662,742,349,377,642,680,
907,760,782,435,221,257,476,652,565,253,828,222,032,949,898,321,707,427,343,
625,350,647,155,132,211,885,193,169,605,088,455,708,008,204,564,679,773,623,
535,056,610,948,563,980,451,721,404,999,194,361,320,466,383,439,351,642,207,
576,420,665,530,202,494,291,144,227,663,626,739,459,706,332,767,695,180,079,
426,169,744,710,796,568,859,146,570,769,064,876,586,271,690,412,297,295,959,
361,076,914,532,966,572,461,290,874,957,610,122,989,524,471,855,152,997,903,
064,633,512,610,832,170,263,953,156,326,521,758,351,437,437,505,748,277,965,
074,355,227,876,985,214,192,334,303,175,713,677,968,373,114,766,251,643,215,
414,805,695,992,368,881,407,267,907,862,827,138,547,842,187,929,340,171,488,
530,910,811,198,992,458,442,896,866,296,850,572,303,867,138,493,857,787,631,
791,323,973,555,409,242,218,197,280,549,013,153,218,664,330,313,225,802,135,
091,358,208,838,511,648,855,651,783,906,204,898,692,547,074,932,129,182,768,
784,475,744,179,722,051,273,993,073,304,852,723,113,270,429,260,672,261,013,
294,179,842,058,051,938,285,277,757,110,235,405,404,540,534,281,732,228,646,
296,573,946,105,777,260,489,950,625,054,905,671,489,073,042,964,012,783,746,
566,968,016,821,909,934,704,764,418,452,436,835,346,105,588,689,796,383,878,
581,924,191,731,960,947,123,387,317,691,005,607,204,924,378,257,891,012,632,
173,749,917,238,306,807,699,487,545,837,099,962,749,182,482,961,110,449,978,
127,439,862,921,318,374,857,461,260,012,639,158,239,656,523,199,273,667,038,
301,060,526,785,065,175,167,037,701,701,482,023,742,012,803,576,424,503,478,
143,615,434,445,977,689,580,197,634,359,135,786,453,689,356,656,631,567,491,
087,117,070,993,127,342,335,109,552,321,539,648,578,426,451,684,033,777,891,
984,970,278,045,868,742,869,771,533,481,531,598,168,409,684,571,687,956,418,
061,964,961,432,613,784,529,697,440,096,273,242,270,976,969,745,917,881,931,
047,027,244,273,874,594,561,727,156,960,241,110,375,762,254,180,537,421,750,
599,130,484,710,213,313,302,246,612,114,834,113,200,188,206,906,703,445,007,
972,396,218,238,655,862,315,571,986,931,748,084,521,708,353,989,350,960,434,
994,061,221,770,260,914,977,710,829,941,446,864,071,991,462,630,055,738,603,
455,684,747,572,083,321,965,100,845,122,565,766,313,904,994,430,168,190,077,
109,808,764,723,607,512,748,788,663,989,796,586,311,402,362,862,552,635,967,
499,249,759,589,919,056,757,206,320,305,173,144,427,743,874,581,485,796,325,
016,170,608,696,784,027,995,646,968,770,171,470,444,622,430,189,756,721,300,
650,127,760,138,104,271,183,319,180,520,040,718,356,710,463,106,036,937,722,
545,121,802,232,834,510,055,085,190,821,751,060,099,803,051,608,477,853,407,
618,521,700,280,279,122,766,494,036,792,326,675,255,879,807,502,931,108,122,
273,539,226,852,118,154,248,603,029,569,827,094,439,286,429,624,044,068,856,
510,232,827,780,890,633,012,552,079,080,384,861,245,895,463,823,033,103,148,
895,999,377,343,207,830,047,742,817,652,666,899,888,619,758,561,134,739,330,
148,051,866,106,754,256,321,377,800,882,309,353,001,382,149,551,470,814,313,
445,795,272,342,580,428,856,813,414,036,621,792,228,539,708,363,532,099,640,
651,795,191,403,639,705,232,508,100,090,455,806,668,510,049,415,796,396,893,
929,345,869,592,615,728,069,868,117,874,747,784,801,642,402,323,125,162,585,
424,016,035,958,170,974,027,550,416,677,087,249,415,141,679,174,376,654,166,
778,634,579,029,118,980,298,267,946,196,799,039,681,798,881,131,879,217,851,
755,199,955,108,231,683,888,864,738,115,892,646,150,812,118,193,890,015,385,
245,380,084,424,589,999,132,947,015,936,158,384,945,120,617,447,308,120,679,
690,548,361,111,722,563,483,090,594,449,236,225,927,201,694,089,507,566,043,
003,231,171,735,657,717,790,585,153,573,822,459,073,471,041,999,512,725,790,
150,355,309,765,386,164,398,321,186,903,825,868,323,467,905,717,312,812,940,
882,124,568,113,115,628,822,887,910,333,581,213,155,688,739,677,342,154,596,
749,874,031,063,744,961,214,820,302,077,963,649,431,737,316,240,178,867,403,
414,651,310,455,850,826,339,678,194,355,291,664,481,589,104,258,165,310,811,
682,238,478,125,759,675,608,270,534,772,231,549,530,481,403,328,061,565,856,
526,108,618,500,882,674,985,087,417,814,912,630,509,331,606,708,843,265,567,
842,003,182,319,406,873,718,052,429,071,298,575,829,730,247,510,493,891,654,
159,259,178,549,508,788,781,085,127,590,206,986,174,996,283,284,948,336,638,
192,192,810,834,187,240,819,304,097,164,240,326,439,962,037,912,324,470,035,
348,438,935,521,524,219,475,904,357,799,365,206,978,857,879,621,186,107,451,
299,211,154,389,498,196,973,167,444,239,463,493,166,632,330,554,898,044,313,
072,393,644,926,305,339,473,187,729,626,241,321,380,577,628,870,064,081,585,
171,209,826,094,525,046,437,367,457,624,911,556,951,179,745,655,634,918,867,
719,318,745,405,996,837,389,551,084,730,252,349,341,025,010,102,126,764,397,
104,873,354,938,664,132,963,183,877,098,514,461,277,161,457,694,956,877,038,
633,991,568,856,747,005,547,268,622,471,935,123,142,969,410,789,061,796,659,
831,294,988,500,167,881,239,813,116,567,498,785,501,658,935,332,198,953,167,
872,016,371,871,810,008,502,893,942,628,988,566,242,776,512,406,987,987,764,
105,882,956,078,139,611,429,640,069,718,842,179,422,993,412,339,148,724,830,
018,384,147,779,969,459,180,195,515,656,866,776,770,826,864,295,284,666,885,
341,382,497,554,232,286,500,761,009,296,136,795,239,087,545,768,333,498,480,
556,328,489,554,062,951,316,612,936,084,334,542,696,054,444,091,335,663,841,
279,097,412,902,341,287,594,685,196,957,528,865,180,894,779,889,664,202,600,
945,907,621,565,360,223,663,182,429,919,300,717,834,726,749,322,179,940,862,
995,725,420,499,566,323,230,392,422,828,127,469,765,655,199,306,265,383,744,
620,231,286,494,839,783,723,840,074,463,877,230,079,983,416,728,834,986,819,
243,988,898,665,245,851,907,033,735,739,821,247,998,950,541,051,249,009,672,
262,380,986,315,808,475,211,240,309,704,153,780,051,558,424,946,297,410,426,
939,017,989,122,877,276,634,406,922,367,724,454,621,138,676,729,244,156,567,
049,170,280,295,819,955,461,719,266,543,975,482,435,609,762,243,262,324,888,
956,706,407,031,704,488,136,986,377,032,384,920,066,608,091,474,226,084,308,
665,573,710,036,186,368,166,689,881,533,329,042,639,789,051,219,229,766,232,
047,087,809,789,978,427,818,870,140,248,872,538,836,897,507,122,702,753,420,
050,008,014,878,720,417,437,536,974,825,138,510,684,336,770,250,844,841,966,
527,689,263,231,902,711,297,340,763,414,645,480,060,808,957,089,786,562,024,
656,738,564,785,903,708,192,100,726,334,102,880,422,956,478,455,841,821,131,
332,500,049,340,245,435,557,329,945,648,763,069,454,951,665,784,555,552,861,
912,287,416,966,679,346,197,752,086,491,496,174,336,041,029,293,984,194,719,
877,575,792,761,684,188,856,318,711,388,548,769,835,930,412,100,170,327,308,
497,188,849,471,926,368,231,622,492,664,849,216,472,321,405,688,940,262,981,
157,699,833,217,569,200,936,595,300,497,564,452,457,687,122,017,588,254,791,
962,293,985,725,032,333,972,849,564,004,514,058,229,614,672,564,730,910,511,
354,652,977,266,510,176,577,263,026,211,731,657,564,408,387,515,808,361,280,
279,360,594,923,488,402,819,012,364,996,115,309,819,060,580,042,358,761,125,
861,917,925,516,886,008,633,771,201,138,818,492,056,786,249,646,047,404,401,
188,986,533,148,463,166,028,607,636,803,232,021,770,312,081,024,303,062,483,
524,093,698,326,286,182,817,979,760,877,284,461,645,070,359,951,819,612,758,
301,124,216,193,046,935,887,374,374,101,971,067,252,222,133,726,695,720,793,
613,754,229,745,509,420,759,527,878,505,251,753,549,814,639,778,219,774,217,
623,341,535,257,450,474,230,842,572,215,319,231,956,140,042,576,657,260,000,
481,486,350,289,720,051,893,310,220,983,956,960,152,462,886,927,755,248,038,
543,663,786,978,961,924,515,087,735,007,901,216,789,681,267,329,739,443,599,
563,094,270,477,497,817,340,450,359,722,622,584,997,075,006,857,646,233,604,
901,890,435,603,421,299,667,030,676,720,700,046,682,714,110,190,945,866,377,
819,380,439,743,153,106,212,659,229,864,669,355,129,258,600,343,578,931,904,
732,014,859,750,222,961,410,910,313,581,298,761,179,233,569,347,914,725,489,
325,361,838,457,455,834,721,912,318,425,521,591,935,678,392,315,044,435,794,
337,337,496,190,849,076,274,393,969,740,254,999,021,979,111,998,915,511,378,
563,121,014,356,893,060,549,189,037,331,728,649,532,680,593,501,137,611,907,
574,044,389,373,291,401,293,918,967,924,637,379,393,020,901,121,231,341,963,
054,802,776,023,685,007,070,842,937,455,508,316,850,704,940,912,445,016,340,
416,345,732,222,076,116,544,939,593,236,845,030,330,274,640,458,730,207,017,
007,476,869,036,531,384,277,870,932,825,620,107,834,310,234,984,099,589,654,
167,957,118,298,523,563,262,704,864,011,133,958,708,178,420,934,619,570,505,
908,178,864,663,179,625,686,579,050,087,041,288,259,420,098,300,293,841,945,
217,915,825,938,356,924,948,647,884,931,325,642,519,000,699,978,795,039,718,
624,760,382,590,801,089,043,049,882,297,920,886,588,830,277,407,002,733,826,
015,509,850,568,716,910,688,096,027,509,774,670,821,855,262,534,666,165,949,
533,322,699,167,105,864,423,360,186,682,631,316,096,859,249,124,662,110,913,
456,286,908,516,319,058,632,778,919,963,930,675,352,486,437,893,450,236,617,
968,891,010,792,696,447,894,553,102,405,548,677,939,598,890,908,374,714,897,
645,225,779,622,712,787,314,489,318,247,391,232,397,945,195,931,981,605,520,
581,641,247,570,028,382,145,542,232,791,501,376,193,151,179,446,520,908,805,
749,199,906,918,128,365,921,756,606,119,514,631,845,303,948,441,505,854,408,
369,816,765,504,332,086,310,157,751,341,128,013,294,266,021,502,237,497,292,
139,129,113,076,116,975,116,958,042,479,743,461,010,369,102,047,658,599,071,
594,340,352,327,728,773,401,476,513,964,502,604,873,773,104,069,360,322,015,
408,079,324,110,444,726,403,075,124,791,054,990,335,617,719,076,033,944,323,
992,523,131,259,581,033,214,369,525,298,841,910,356,939,688,558,811,821,051,
091,276,996,251,356,856,174,246,312,451,798,234,684,015,095,604,096,494,258,
597,097,830,480,844,102,137,429,506,058,434,817,242,730,399,614,947,390,173,
503,608,321,075,072,994,985,175,704,266,989,965,828,367,370,601,177,781,583,
659,270,725,256,407,015,361,435,879,076,346,512,144,924,428,192,705,554,729,
584,583,715,005,549,253,533,234,619,835,357,545,421,211,323,747,108,677,811,
482,491,509,159,640,912,737,768,095,595,252,742,381,992,300,252,490,905,338,
085,191,121,938,554,651,843,217,043,738,395,060,228,524,895,489,825,996,390,
751,901,101,338,958,688,985,268,092,409,576,269,821,351,825,093,236,493,853,
960,108,025,992,392,003,905,726,362,341,770,066,654,907,052,239,577,575,819,
068,470,012,866,929,025,550,402,384,848,839,158,689,724,138,697,188,228,612,
842,374,615,886,493,571,901,242,945,373,376,314,163,900,297,357,757,959,829,
821,812,580,855,350,675,773,271,530,341,905,821,486,715,432,687,672,066,451,
889,048,892,823,059,369,727,987,201,953,675,448,106,888,813,640,628,571,967,
504,554,972,969,056,699,334,228,803,155,973,537,962,111,657,642,143,314,180,
806,213,305,616,462,695,351,669,568,060,751,836,978,818,113,687,463,055,209,
595,055,616,037,497,122,469,020,220,883,770,077,546,682,717,963,032,666,150,
914,790,615,219,907,953,314,787,844,081,563,619,385,114,135,135,651,799,325,
196,038,342,685,470,501,311,042,674,818,762,262,965,982,515,485,803,434,707,
517,623,418,104,960,867,214,144,985,635,213,728,872,787,824,727,298,812,029,
601,588,283,849,793,740,506,325,896,387,529,522,801,573,355,467,552,018,298,
663,546,536,526,188,818,185,105,522,025,321,751,062,476,414,529,604,161,847,
106,978,059,203,584,998,622,779,744,164,126,554,951,759,936,192,316,285,498,
333,133,401,311,227,002,916,426,254,938,646,964,471,881,008,658,866,015,821,
682,599,417,970,265,057,525,737,613,687,253,444,683,066,443,262,159,073,561,
359,413,628,375,580,429,830,016,792,684,056,403,673,336,706,882,515,524,710,
084,555,339,228,888,885,568,014,542,476,482,854,034,328,995,406,680,821,834,
343,862,569,384,481,080,188,512,976,321,506,368,720,273,546,454,609,636,352,
488,114,379,845,787,397,569,315,952,712,276,325,458,057,388,403,695,177,950,
899,611,599,028,953,037,805,252,771,108,925,321,347,566,232,622,021,099,613,
579,008,110,125,051,680,722,627,156,382,853,873,823,167,665,915,931,202,433,
552,288,428,731,156,875,503,332,274,806,531,978,572,735,426,971,473,718,285,
862,550,122,964,152,263,885,043,123,115,991,015,316,433,011,488,366,761,104,
858,941,589,646,638,747,312,088,718,625,152,647,925,751,479,801,722,100,134,
981,507,089,102,297,999,089,168,701,996,621,840,164,595,879,840,511,072,427,
082,373,492,282,710,179,670,433,091,085,724,114,486,939,136,839,704,214,084,
380,652,626,659,795,238,507,638,678,810,202,577,864,329,630,019,034,312,525,
539,244,080,178,230,096,260,346,759,042,524,167,092,571,258,013,728,849,067,
182,374,089,375,054,721,691,862,741,721,247,570,208,229,664,298,484,870,671,
988,414,158,682,825,212,718,853,173,319,948,747,924,110,914,926,116,786,170,
852,611,426,552,880,886,915,263,309,760,592,433,155,291,986,837,328,426,742,
120,413,709,076,915,625,349,008,437,537,321,976,439,990,464,698,900,402,509,
994,463,468,545,892,970,196,775,090,914,919,518,593,454,396,207,587,271,806,
949,675,973,692,590,143,544,149,546,015,320,963,095,866,851,430,198,059,940,
214,204,567,023,111,774,470,204,819,887,339,793,255,031,447,417,742,480,435,
342,990,269,684,316,266,479,967,996,811,744,594,737,938,705,675,083,577,284,
241,493,748,010,602,146,265,927,311,005,222,605,531,995,718,920,971,312,374,
200,515,434,527,337,387,441,076,576,955,416,821,287,623,928,661,324,944,894,
642,048,470,213,597,563,262,848,143,126,619,193,005,122,978,194,899,566,224,
096,420,952,866,974,431,502,217,690,183,770,129,208,330,040,998,966,086,511,
594,338,670,149,442,777,990,647,701,108,131,705,324,671,178,400,629,018,798,
478,969,831,628,721,468,823,588,850,555,067,486,371,416,316,199,788,237,776,
163,946,246,586,080,307,252,732,523,838,353,520,829,523,098,297,498,497,566,
823,751,263,529,270,024,314,294,999,733,071,688,721,864,809,226,941,946,610,
207,741,135,537,497,676,067,493,208,200,994,706,167,865,164,711,423,175,373,
291,842,000,408,161,658,483,118,231,851,079,919,497,604,711,720,062,963,360,
789,068,466,284,061,509,653,966,826,086,070,626,436,359,327,003,049,825,295,
854,140,038,184,125,273,886,526,510,765,926,887,165,604,104,782,798,170,203,
238,175,424,177,273,134,734,097,416,587,225,051,454,948,717,792,605,367,162,
055,303,211,578,788,177,086,257,721,956,113,007,421,238,734,134,600,925,812,
093,412,966,139,318,256,822,186,599,067,797,614,251,850,237,115,855,902,261,
658,497,373,553,970,059,158,664,754,485,001,573,262,779,529,898,644,159,174,
614,771,015,736,134,119,301,614,475,274,444,965,574,100,986,156,440,361,159,
321,180,634,336,132,040,573,079,171,912,443,937,242,105,403,481,349,583,268,
517,769,064,470,046,971,108,463,554,784,662,622,308,945,265,013,178,017,595,
935,781,443,322,141,061,012,149,044,682,164,052,840,799,792,876,392,113,598,
086,828,135,552,283,552,607,815,215,713,747,635,895,709,186,064,642,592,253,
546,223,653,040,606,659,401,330,516,810,384,264,352,161,965,101,319,611,020,
039,800,749,357,814,989,627,159,102,007,896,635,247,113,248,821,610,883,681,
985,071,203,127,893,642,646,365,132,744,093,878,540,656,876,382,964,771,475,
787,661,113,659,713,398,291,111,077,801,355,827,936,331,966,710,654,260,908,
288,123,732,285,617,679,746,278,627,270,433,057,813,887,886,025,096,762,237,
664,575,080,778,850,908,890,846,048,072,287,317,906,052,033,623,205,148,067,
674,726,284,140,434,144,706,106,488,576,377,364,793,201,614,004,968,106,051,
504,151,164,502,937,643,301,783,380,310,622,941,118,621,942,193,254,131,089,
311,084,383,317,591,443,315,023,244,217,981,676,674,069,141,916,790,762,838,
950,502,280,490,365,740,855,315,660,622,440,593,108,453,719,722,186,528,709,
039,874,455,107,638,433,564,138,337,405,943,754,702,464,123,828,821,639,015,
601,594,398,663,156,576,504,985,680,262,002,624,505,395,795,220,154,321,575,
706,620,159,221,113,179,320,337,145,816,176,122,303,297,357,239,301,915,974,
453,829,380,903,224,751,964,858,989,645,880,535,231,412,098,597,081,279,248,
716,664,643,173,763,841,756,672,743,091,911,480,876,417,855,213,790,349,529,
494,941,784,910,197,805,408,397,706,184,830,010,176,841,777,511,671,994,227,
507,906,388,276,081,249,158,924,139,346,140,850,808,951,257,820,342,045,707,
877,532,159,668,304,651,599,370,562,646,566,092,888,684,811,058,915,685,368,
825,416,420,865,193,347,050,017,109,773,088,949,182,264,071,177,898,129,264,
927,393,922,821,207,075,216,507,826,437,975,721,417,937,557,096,001,474,512,
724,383,796,078,502,288,769,610,515,811,241,649,238,655,241,381,675,398,084,
851,304,237,352,975,481,752,690,813,260,434,401,981,530,941,386,382,060,205,
443,990,348,405,026,627,183,293,123,209,570,168,044,409,463,812,878,020,103,
302,371,030,666,307,889,399,686,910,574,487,700,631,810,549,051,627,342,615,
033,598,790,305,786,679,718,882,124,736,308,859,413,022,037,044,985,533,652,
627,560,917,282,123,019,261,255,087,577,287,364,803,519,411,916,451,408,804,
758,708,050,232,238,250,966,377,310,387,797,306,781,888,911,063,884,842,217,
281,945,024,405,243,043,908,911,806,634,624,725,320,824,475,145,742,011,874,
733,637,275,181,997,343,378,738,228,865,962,521,729,445,329,517,114,251,390,
112,913,110,886,836,743,243,806,935,243,027,352,610,371,911,279,407,116,234,
771,346,337,802,089,012,609,110,213,385,724,925,996,993,898,948,266,666,557,
240,901,675,495,381,315,353,004,206,540,805,297,831,462,330,015,093,316,550,
459,461,037,790,895,401,510,460,555,052,131,265,898,136,014,546,431,918,591,
747,651,187,053,574,651,512,783,953,200,156,043,552,027,693,922,616,662,219,
396,390,443,617,358,662,445,436,044,590,074,809,756,340,483,800,567,928,074,
338,528,864,918,757,196,171,059,928,292,714,274,201,732,458,583,063,989,690,
192,505,673,739,094,386,982,156,295,209,007,277,814,463,259,039,397,457,562,
486,709,744,931,372,622,141,505,434,579,818,069,632,463,285,360,402,940,407,
869,701,842,945,344,621,072,460,487,417,053,535,717,179,193,790,712,126,292,
778,502,982,219,699,490,068,088,309,797,883,112,461,224,803,753,923,170,818,
734,353,001,768,914,471,797,015,124,033,278,562,212,587,293,513,690,185,201,
366,750,384,170,803,200,569,051,733,772,701,998,211,917,750,843,450,133,237,
031,818,722,194,836,107,760,008,644,625,770,214,405,937,733,840,264,351,657,
474,443,142,982,498,988,254,866,304,349,379,071,823,080,016,615,192,755,059,
852,528,436,375,759,832,623,687,966,798,071,876,307,772,664,585,916,353,168,
232,751,218,279,561,193,475,660,432,073,897,439,818,216,490,004,914,953,334,
527,609,701,975,868,649,097,521,562,807,308,828,848,067,933,326,406,419,602,
534,255,049,095,491,494,645,795,582,215,180,385,009,013,577,621,583,042,221,
139,084,671,478,052,368,838,732,742,095,544,484,555,526,432,046,114,219,777,
069,191,991,726,053,555,798,231,684,360,864,559,960,876,050,648,781,929,258,
817,289,823,134,720,318,507,891,131,349,452,944,985,994,881,383,641,715,780,
558,048,360,754,266,546,487,688,668,462,399,183,224,576,658,132,483,530,278,
177,253,965,316,838,735,774,670,304,946,907,339,895,841,589,021,603,148,850,
601,875,390,575,842,867,481,951,139,135,295,199,735,883,947,363,471,786,137,
615,334,986,721,996,677,738,558,427,520,681,363,961,401,306,441,464,918,581,
908,810,326,581,634,660,168,065,697,972,870,293,284,151,406,781,291,051,282,
787,014,707,722,647,430,321,378,279,709,799,771,952,965,724,886,409,039,530,
411,267,065,118,984,027,723,545,120,447,169,670,395,881,118,569,460,628,943,
938,748,043,465,084,614,848,212,383,688,514,187,661,467,022,213,444,449,230,
890,011,632,488,217,997,747,286,845,471,224,265,326,338,967,628,680,700,237,
119,962,144,224,267,998,080,929,196,074,507,269,551,457,311,088,430,046,357,
661,116,325,112,166,701,565,891,325,874,042,040,197,497,230,048,966,331,691,
175,147,803,690,663,530,743,512,792,371,254,491,153,599,297,478,408,123,069,
905,266,392,811,271,767,677,954,377,491,550,789,106,095,434,873,273,551,443,
980,834,444,587,093,113,739,442,881,557,434,202,941,887,131,406,909,558,854,
756,050,239,118,935,041,100,683,520,495,973,258,068,050,116,553,495,539,228,
910,552,517,599,883,917,755,194,645,816,725,381,913,444,940,324,893,157,494,
049,560,506,817,382,754,581,013,814,693,237,846,115,630,361,560,898,666,633,
492,845,390,311,222,828,291,873,949,973,444,939,861,893,133,086,094,412,841,
218,583,952,824,682,176,863,171,235,985,687,698,477,132,150,022,128,846,638,
877,083,351,933,631,565,860,846,639,334,126,782,968,562,242,670,706,151,140,
415,612,375,924,352,278,409,175,099,109,490,846,580,904,448,957,868,128,531,
271,461,884,736,566,968,039,720,399,172,287,354,907,308,396,591,295,798,655,
149,379,085,142,428,313,905,766,938,502,052,524,798,417,654,396,136,630,141,
231,281,592,137,224,590,190,861,841,736,502,650,817,864,301,072,630,194,391,
770,119,636,734,073,435,428,073,769,381,656,117,222,736,024,990,732,636,304,
476,499,790,345,040,533,232,908,594,927,818,122,088,913,844,713,719,788,025,
749,157,751,128,425,670,453,636,487,519,213,663,151,219,115,158,900,727,774,
406,750,796,301,260,513,442,467,300,700,334,060,229,410,615,819,496,190,223,
661,201,782,267,327,364,183,757,126,897,625,557,756,939,797,363,570,817,680,
545,818,179,742,034,620,148,484,009,034,651,088,951,870,433,396,533,934,459,
193,161,861,990,165,285,290,792,123,770,459,371,393,388,029,913,209,192,764,
742,368,022,349,584,056,192,961,508,758,942,292,980,311,601,580,193,018,583,
539,962,032,008,381,940,583,686,370,929,340,739,480,010,576,733,351,676,667,
197,982,854,670,823,971,658,247,751,287,035,520,946,829,213,907,044,563,618,
721,254,715,055,624,796,802,119,131,466,692,408,380,856,398,209,696,474,487,
639,951,898,789,746,481,665,546,018,971,349,864,118,064,309,130,799,477,532,
723,856,921,458,364,782,238,050,983,302,840,149,792,912,325,498,962,047,046,
748,864,399,503,565,918,140,608,629,815,953,074,320,797,856,033,048,520,850,
181,766,957,196,443,078,794,093,594,476,605,678,560,455,278,241,331,829,043,
647,944,114,467,691,198,920,221,036,485,265,575,077,158,694,369,526,720,013,
831,503,372,015,788,288,839,153,568,759,506,803,456,510,871,530,176,999,187,
288,897,591,107,375,997,947,428,279,948,935,491,352,259,438,059,135,733,615,
198,933,528,334,480,481,119,797,885,314,575,298,520,797,712,752,718,967,009,
825,463,989,374,414,780,914,953,235,258,212,745,524,804,044,734,836,415,265,
894,186,777,683,049,632,543,460,287,860,044,113,626,537,572,615,660,027,049,
075,010,903,996,743,609,478,814,108,512,471,509,013,763,993,487,971,438,076,
149,835,170,903,141,155,385,725,864,796,871,863,625,346,539,725,206,198,171,
665,579,678,233,412,943,938,745,196,477,110,949,342,425,278,629,242,619,644,
851,034,513,206,065,665,716,870,045,815,951,439,702,399,950,005,345,567,562,
020,044,349,728,849,368,833,729,387,317,888,701,272,650,987,314,996,886,374,
514,181,522,823,770,225,596,522,718,822,482,090,791,662,925,508,204,009,912,
913,701,412,184,044,624,733,197,402,111,160,747,846,883,689,275,638,582,513,
990,125,203,739,083,288,789,399,133,781,438,608,006,537,789,407,944,266,491,
644,634,697,373,992,187,278,744,811,434,487,175,082,617,024,179,608,393,766,
074,377,217,634,558,928,979,065,582,908,353,003,778,834,230,937,333,322,856,
139,223,654,096,513,068,761,206,285,601,168,653,917,992,295,825,111,959,910,
256,763,463,791,035,809,066,904,979,489,115,400,345,095,872,799,499,523,607,
793,047,093,643,576,876,666,163,237,381,285,587,360,598,552,102,303,222,985,
067,033,349,383,483,547,644,062,780,533,190,991,614,235,069,580,141,921,701,
624,983,161,440,087,000,084,810,114,556,010,149,900,312,101,781,260,298,695,
959,615,622,721,957,651,331,929,930,780,229,342,074,312,188,008,908,105,594,
325,950,346,038,317,778,837,378,092,044,378,106,109,313,925,226,979,888,362,
569,353,638,269,710,678,111,638,477,167,715,113,679,437,029,967,481,455,692,
889,393,372,412,493,362,561,891,909,829,275,884,785,278,338,917,578,772,408,
962,537,616,308,077,631,013,529,836,928,019,201,196,483,948,623,253,829,777,
518,316,330,045,827,902,326,781,896,172,684,303,333,513,027,798,227,987,633,
238,647,170,227,191,863,161,432,306,274,892,245,926,026,501,799,081,103,067,
954,000,093,434,301,781,924,512,228,592,791,443,347,837,512,915,409,520,412,
831,741,300,459,191,848,727,528,070,075,229,529,648,945,395,104,408,416,884,
590,429,335,847,442,723,082,250,357,620,090,882,328,825,026,098,359,602,462,
972,398,466,028,341,957,115,431,268,510,939,982,601,211,610,331,301,608,337,
485,169,446,077,665,091,308,757,114,749,980,688,243,872,603,741,493,075,795,
070,370,693,985,286,145,485,187,486,696,396,254,497,020,980,952,353,490,452,
521,219,248,655,333,297,936,555,069,544,296,023,456,411,851,524,507,909,863,
209,762,427,444,218,586,527,342,122,607,246,715,873,809,848,641,151,328,555,
704,335,861,793,705,155,302,411,000,136,333,768,751,141,978,717,181,894,012,
376,324,153,087,916,204,088,855,326,820,072,368,032,280,847,322,505,883,420,
607,606,521,538,185,015,338,478,239,624,688,787,213,465,224,195,049,511,567,
677,587,144,682,038,335,259,887,987,747,269,380,208,208,408,905,236,647,847,
057,845,993,575,234,301,826,795,387,505,553,663,283,856,124,711,329,460,211,
040,087,014,846,169,656,382,537,505,096,348,421,887,339,166,353,178,782,196,
342,523,103,465,508,820,163,279,991,497,874,695,699,143,986,569,451,585,173,
714,372,830,125,571,940,938,589,500,913,125,330,706,057,380,387,493,153,071,
715,053,491,515,227,874,408,223,349,758,762,769,168,104,776,463,062,172,427,
287,385,088,805,781,255,556,031,990,572,017,901,430,869,823,149,420,727,165,
612,412,070,325,690,957,605,903,115,482,477,399,313,199,806,943,603,041,657,
613,522,736,923,011,819,433,186,741,495,698,215,258,183,308,906,493,593,163,
083,517,452,400,405,008,266,612,058,191,012,225,297,315,768,681,525,579,872,
356,208,881,127,012,676,531,193,587,403,327,149,161,543,667,102,845,940,062,
647,372,792,900,975,050,246,486,645,446,278,782,959,194,389,892,114,964,159,
520,068,814,766,549,428,746,590,056,153,714,312,827,720,137,594,946,470,533,
079,372,770,983,037,182,744,282,460,963,794,150,969,544,955,610,829,871,488,
892,375,461,844,746,962,528,960,515,577,675,280,985,487,139,470,554,009,449,
196,261,704,000,497,055,622,420,988,111,673,075,406,412,053,334,514,192,437,
358,489,968,661,535,516,002,743,564,089,055,239,190,160,448,237,219,140,058,
082,152,058,633,082,084,029,155,037,364,952,899,447,633,926,495,378,098,198,
007,939,605,038,365,093,952,133,746,726,467,837,222,480,886,217,480,098,882,
434,078,928,629,563,920,377,825,376,271,257,423,516,023,353,936,032,944,453,
400,897,354,805,339,831,055,553,295,100,039,384,242,331,610,246,812,433,850,
578,315,530,086,576,933,826,632,331,810,733,987,792,175,715,633,134,052,283,
962,023,314,680,059,118,383,144,481,603,060,772,137,096,589,840,530,702,993,
209,943,703,068,521,385,397,904,191,893,401,358,041,233,453,237,386,981,773,
740,662,103,385,672,868,176,712,379,102,970,189,057,886,167,886,995,132,087,
863,719,685,206,368,046,999,572,011,895,280,958,251,938,050,496,400,636,870,
726,712,289,933,931,903,803,885,119,584,462,013,461,337,262,657,492,207,925,
324,910,387,482,359,867,578,540,276,056,739,645,765,714,679,225,899,624,049,
338,206,352,571,680,771,902,109,448,719,798,504,636,344,353,661,345,605,522,
089,449,845,342,724,933,300,503,301,103,191,275,478,104,447,333,580,493,151,
755,593,479,784,123,723,337,616,524,634,832,813,137,414,353,642,242,287,015,
505,321,035,607,377,348,684,257,702,146,729,704,969,282,971,456,650,356,675,
122,326,214,960,001,468,284,968,014,267,907,909,534,093,051,067,217,895,700,
792,481,300,158,736,742,372,500,972,812,227,739,744,546,869,811,991,030,902,
961,454,239,969,791,580,741,283,759,941,883,488,959,911,244,057,250,005,408,
503,362,377,554,640,251,796,811,965,735,423,879,479,267,567,496,786,583,015,
210,006,173,454,248,498,599,215,805,794,824,471,846,172,793,295,984,882,093,
824,807,087,877,043,209,299,092,286,226,364,068,437,704,120,553,769,327,735,
010,394,078,204,801,014,921,296,218,841,512,370,484,764,248,899,950,483,551,
320,506,251,564,980,880,152,231,493,509,548,568,439,830,913,680,501,537,520,
789,270,553,517,937,631,721,256,770,213,483,665,884,621,986,246,908,840,072,
548,124,951,477,188,129,410,683,260,724,114,531,161,575,965,569,594,602,123,
186,155,766,686,900,380,774,195,741,764,082,197,710,300,804,026,666,373,997,
405,712,158,773,449,129,786,022,489,471,470,475,052,472,237,996,718,913,555,
105,528,691,302,946,575,314,593,277,063,600,087,861,391,297,039,172,851,677,
584,701,388,863,014,848,911,352,886,920,005,178,518,198,053,759,184,570,470,
228,264,585,539,480,288,876,365,295,389,224,239,043,831,436,559,228,419,610,
841,461,108,691,621,564,952,267,590,532,428,456,691,824,718,406,443,435,635,
846,336,464,652,866,044,408,973,323,899,023,117,515,499,739,381,635,588,759,
124,671,469,248,803,061,041,594,453,192,386,899,469,568,937,738,303,537,390,
989,423,837,711,720,287,065,254,889,709,155,671,327,545,402,641,247,898,702,
601,214,836,916,990,998,502,794,938,133,749,362,262,380,950,869,475,623,215,
598,085,385,339,767,610,294,190,749,121,564,857,102,317,779,706,834,263,460,
409,315,399,595,489,242,719,733,681,524,288,441,184,574,178,613,708,988,801,
659,282,467,659,955,052,218,690,766,292,442,680,662,443,930,325,805,987,375,
507,385,824,056,509,996,485,509,874,580,396,728,488,845,117,594,263,678,371,
224,982,400,748,891,496,004,911,907,408,392,227,050,044,312,021,602,145,162,
036,762,520,254,379,376,568,607,531,568,200,725,133,134,112,444,586,256,723,
249,052,393,922,309,920,245,511,794,370,517,387,050,850,039,303,814,903,163,
604,837,222,516,656,552,027,647,126,087,915,961,181,159,562,873,020,390,198,
952,361,301,894,723,339,249,872,634,416,831,862,644,346,353,988,040,007,673,
986,413,776,458,888,364,419,276,482,055,086,661,070,105,062,002,048,255,541,
159,424,942,881,543,538,703,318,713,579,875,204,085,454,743,526,888,970,140,
611,760,823,033,587,069,704,180,940,189,748,234,654,626,380,926,007,515,196,
400,318,656,903,308,212,952,171,970,898,102,021,991,944,951,489,221,342,510,
043,994,261,813,518,661,363,487,561,766,752,651,983,856,453,497,737,644,702,
456,273,407,056,176,200,886,933,378,639,697,591,443,716,013,387,764,724,573,
522,619,449,054,882,898,400,736,708,798,805,181,604,237,686,082,949,050,013,
274,802,483,968,219,463,090,611,741,945,361,648,996,697,626,153,798,789,849,
732,557,434,244,255,770,699,197,924,110,279,046,124,792,043,672,459,741,901,
504,398,655,239,251,471,704,813,563,926,809,875,482,040,203,206,967,971,818,
696,139,182,214,223,649,701,618,104,700,800,337,077,276,087,114,093,227,118,
035,972,552,255,330,135,096,111,841,019,159,999,306,962,211,334,695,585,434,
072,968,364,106,076,261,621,758,594,359,663,678,235,104,825,735,725,323,791,
978,960,886,301,522,135,472,884,458,881,908,644,527,977,550,958,726,090,001,
214,760,958,140,820,729,873,279,474,008,821,634,501,783,348,602,701,045,561,
694,223,915,511,710,483,814,853,544,029,861,293,340,882,077,443,487,196,866,
629,109,456,766,167,128,256,335,748,310,966,716,822,395,808,167,210,112,575,
499,329,652,028,350,257,570,752,046,088,035,681,641,061,176,193,929,643,809,
998,097,497,783,567,150,672,186,262,740,368,849,169,933,078,202,218,954,957,
650,272,411,391,311,736,487,634,210,938,144,109,253,874,420,336,959,052,385,
197,404,814,911,777,003,935,755,968,977,049,850,054,219,484,052,739,228,263,
481,677,202,673,383,852,604,416,177,028,023,568,280,430,190,597,978,403,063,
211,045,966,954,442,546,684,092,774,802,388,650,367,054,436,443,178,403,355,
313,104,682,664,910,908,062,630,595,387,032,242,026,690,708,113,759,949,652,
465,316,529,506,053,638,081,896,345,646,316,473,073,674,137,811,748,526,299,
392,017,040,805,840,172,500,130,288,877,203,483,998,968,299,430,548,017,558,
788,003,744,853,731,014,047,199,816,589,439,094,774,145,670,034,054,988,611,
959,288,981,554,381,462,852,334,961,611,794,660,729,588,759,303,019,941,326,
108,504,634,137,736,042,896,060,810,042,872,925,403,053,708,237,330,039,332,
126,232,640,948,793,499,639,145,535,001,028,125,658,871,329,582,748,556,921,
439,319,201,115,908,190,871,206,219,249,126,551,281,233,173,426,630,166,218,
154,614,538,989,954,007,419,408,683,806,401,138,373,177,488,069,811,575,175,
221,163,222,842,002,375,677,616,292,192,986,254,200,643,825,115,370,390,673,
557,615,101,927,414,064,496,423,467,579,164,236,933,944,840,284,117,016,105,
444,319,835,011,527,519,489,249,167,625,693,967,129,658,227,828,823,224,895,
847,586,095,376,830,554,837,857,761,891,951,744,288,291,529,054,229,997,203,
202,486,968,793,113,921,122,865,815,855,342,130,877,579,042,956,943,345,998,
370,328,940,388,899,312,020,797,346,459,620,831,347,869,812,514,172,330,647,
400,077,415,493,282,545,812,228,687,002,030,476,380,299,632,983,001,043,490,
719,325,880,976,323,596,212,797,414,377,016,950,606,006,488,817,091,375,643,
023,778,992,079,074,947,609,829,553,256,201,368,606,723,511,473,187,691,245,
714,149,035,184,460,299,428,570,867,205,134,683,762,608,937,968,224,011,608,
124,733,894,676,442,469,765,531,625,071,515,355,456,987,794,125,703,098,321,
648,911,415,954,832,521,187,992,408,444,477,519,157,372,752,220,922,343,028,
436,971,779,468,821,018,313,512,522,529,563,792,072,938,444,827,312,323,381,
419,770,238,178,189,622,280,087,641,913,295,116,796,594,134,408,124,096,084,
154,410,762,202,811,353,125,158,641,589,352,835,412,455,212,708,493,084,196,
949,563,238,841,332,208,535,410,272,255,507,548,897,278,013,038,222,108,228,
538,306,405,179,925,073,569,897,591,196,553,529,210,929,062,673,560,759,006,
459,644,792,996,335,953,477,633,664,557,428,408,816,213,662,600,247,143,975,
201,720,709,239,418,992,389,548,393,245,393,250,640,936,009,888,407,782,875,
519,042,626,514,340,740,519,748,582,557,691,865,961,350,201,317,366,310,513,
496,549,393,789,873,814,612,380,122,562,423,341,289,153,479,485,352,768,141,
932,956,492,177,705,271,713,383,933,027,398,192,525,234,974,561,894,986,838,
032,403,972,930,598,142,860,118,102,077,158,322,168,785,568,266,645,213,293,
604,366,839,747,075,188,890,739,997,000,210,135,042,153,430,611,458,015,598,
985,947,918,272,134,667,284,347,746,164,200,409,505,399,525,545,832,672,229,
379,956,527,890,814,487,849,615,584,999,007,411,963,620,353,124,644,894,198,
340,557,109,177,723,384,469,591,613,667,385,765,217,126,582,990,914,265,633,
596,818,545,545,603,761,126,622,708,321,313,090,458,095,617,888,154,655,495,
841,808,726,217,578,778,519,620,093,597,385,686,577,124,601,121,992,283,920,
878,173,654,817,810,003,363,997,005,399,321,323,650,270,634,058,155,563,081,
356,880,370,760,883,514,803,131,456,393,137,701,393,449,055,628,435,604,814,
115,667,538,759,992,375,792,076,545,873,957,155,891,094,637,025,580,980,436,
389,710,526,399,984,023,528,283,277,954,890,241,729,755,505,087,954,333,549,
634,434,110,157,652,632,996,022,620,283,245,082,151,572,217,936,158,079,956,
532,201,443,868,490,642,242,174,504,725,068,631,166,676,700,469,501,105,321,
469,838,673,172,433,510,084,668,546,832,652,798,238,867,317,579,325,270,707,
029,032,002,644,811,469,358,450,172,752,600,541,946,488,269,269,405,387,880,
684,872,275,162,006,927,729,453,085,955,798,454,022,593,445,902,218,365,020,
729,112,321,641,341,176,995,133,937,487,908,520,932,473,130,924,338,644,141,
175,975,667,285,271,978,643,600,801,284,537,331,869,701,808,517,733,556,205,
030,054,230,345,827,082,730,620,238,726,248,992,030,276,640,091,711,007,745,
553,361,777,077,446,514,776,794,837,505,478,793,552,892,515,689,785,948,839,
870,266,174,653,807,759,836,814,685,053,020,820,842,645,681,443,590,133,216,
707,404,933,767,057,851,900,415,807,541,781,607,256,427,386,541,250,961,206,
077,395,331,949,022,664,581,028,147,077,053,538,500,106,713,439,342,844,393,
322,782,212,792,525,335,050,209,281,412,716,129,728,734,560,921,639,170,705,
587,937,718,105,947,411,739,416,283,510,420,749,716,241,782,515,240,063,131,
999,812,184,406,639,288,894,404,973,954,941,410,189,280,691,112,411,782,496,
215,950,214,671,083,386,826,639,790,525,160,333,012,805,768,956,736,327,499,
965,805,325,757,494,120,879,705,465,596,474,432,472,851,622,298,792,948,358,
501,011,171,799,716,577,437,182,489,603,933,725,677,182,789,465,987,289,678,
107,647,688,913,801,698,789,082,172,178,634,000,158,427,004,009,073,581,506,
823,887,881,919,766,178,042,992,892,936,056,639,026,308,281,188,194,499,397,
637,299,059,348,162,938,543,701,832,568,024,602,566,865,213,110,053,840,589,
503,624,543,492,519,680,282,106,584,256,966,687,118,316,266,359,727,588,888,
160,168,996,124,598,648,689,972,883,475,579,817,718,032,499,611,575,582,198,
464,240,873,235,436,042,427,996,152,018,985,348,434,497,397,965,140,422,483,
374,539,325,410,376,838,764,957,318,194,882,589,115,314,199,101,606,514,310,
290,743,128,064,839,038,486,068,766,036,607,757,709,970,811,248,096,118,058,
263,116,596,307,627,928,362,447,595,079,342,192,793,809,203,037,777,697,712,
014,097,714,144,432,020,452,743,951,105,039,716,468,351,170,431,975,040,152,
059,453,243,898,376,191,699,503,810,181,922,646,113,429,939,321,599,655,825,
406,838,199,266,890,814,555,654,948,068,968,192,227,278,437,713,193,318,766,
858,973,811,382,302,250,823,658,557,515,301,650,487,673,642,297,038,740,207,
436,586,612,456,892,755,877,423,398,117,728,910,873,839,712,566,833,106,595,
328,542,215,447,711,492,806,040,204,057,351,290,517,926,226,484,326,871,712,
533,281,742,136,678,837,841,620,092,244,840,699,202,544,668,102,768,877,851,
142,865,592,669,411,174,477,458,985,537,916,890,381,361,821,242,558,980,900,
213,116,043,905,588,585,183,632,660,940,746,540,111,782,433,473,639,877,697,
114,322,465,234,685,838,182,276,685,075,691,892,413,901,833,605,370,905,207,
964,987,157,115,116,059,450,626,920,815,571,994,757,396,576,118,151,662,112,
649,587,359,856,648,702,800,666,300,229,183,125,903,827,757,062,690,919,939,
981,013,674,043,364,794,734,568,609,134,416,848,841,779,330,188,479,978,304,
103,058,341,883,335,341,311,360,983,425,170,041,895,739,341,445,477,327,751,
761,736,109,796,109,484,655,843,483,853,704,350,030,038,096,958,490,607,454,
999,485,405,921,588,557,844,336,278,726,689,823,156,361,720,693,102,733,999,
428,554,866,125,437,215,912,146,771,243,026,049,447,813,709,860,505,453,404,
138,643,918,549,750,574,331,842,013,432,148,235,977,526,026,654,113,918,785,
075,905,339,360,376,186,877,178,821,869,525,582,570,732,646,446,988,811,400,
037,660,599,076,433,531,404,518,074,954,384,776,138,169,055,629,437,771,267,
286,411,272,707,314,981,831,585,684,810,666,467,297,152,210,717,693,516,491,
763,625,976,099,912,392,979,192,736,819,235,232,923,490,724,295,240,432,816,
913,148,608,079,658,606,394,211,230,854,818,521,792,141,902,794,286,253,059,
362,039,418,536,806,754,291,968,124,343,092,473,843,905,030,259,315,691,601,
262,743,662,793,512,664,939,295,609,371,449,384,885,253,184,147,043,670,572,
649,248,903,810,084,976,244,866,671,296,788,399,765,953,156,698,986,770,145,
139,854,598,740,726,835,636,613,967,988,214,585,782,598,800,289,223,140,394,
939,671,169,454,541,374,020,929,397,569,609,645,821,459,789,072,269,353,905,
258,752,730,106,341,997,991,107,648,591,469,552,773,288,626,219,475,822,137,
104,131,167,677,641,476,002,646,610,710,212,095,678,829,812,372,347,494,275,
329,518,102,390,692,371,070,681,521,917,327,835,346,637,773,718,026,775,411,
560,078,951,404,296,299,223,544,420,488,515,219,032,216,141,437,552,947,599,
938,873,867,418,101,767,533,794,587,502,775,664,582,996,284,035,445,255,978,
290,579,023,539,162,198,407,937,774,149,343,305,709,017,080,263,047,956,269,
954,445,585,817,769,743,229,745,386,077,448,787,175,762,660,484,717,984,558,
898,851,819,089,925,860,671,717,973,062,976,117,892,155,871,844,168,843,290,
708,993,951,195,048,252,003,522,379,539,154,072,658,817,673,390,389,768,005,
027,847,086,386,249,067,493,615,086,610,519,270,476,843,980,825,664,522,973,
274,049,963,113,129,670,913,087,222,098,865,184,378,393,312,231,488,162,519,
605,816,042,631,556,856,728,605,626,909,325,923,317,821,457,328,040,434,753,
365,061,991,780,318,127,568,257,744,411,480,612,408,134,855,300,915,854,560,
526,111,180,953,582,996,608,541,537,018,651,871,693,791,668,442,458,301,426,
595,836,142,628,414,591,385,395,419,552,468,103,253,189,260,159,861,471,428,
489,802,052,748,442,534,928,656,441,049,893,274,518,037,113,425,147,713,576,
620,756,163,135,356,882,274,132,783,954,575,585,856,063,273,668,719,916,222,
470,571,717,701,260,758,604,477,017,358,835,430,192,306,088,156,539,894,895,
244,816,160,286,321,001,026,508,978,487,033,833,971,924,426,008,079,538,604,
857,452,582,872,956,458,178,178,441,170,847,749,910,066,876,909,395,170,969,
052,173,437,015,362,294,456,685,332,265,702,254,757,311,855,078,169,860,996,
612,627,912,948,766,412,251,993,239,806,315,518,302,772,984,880,012,254,587,
212,224,538,414,365,418,403,304,507,519,083,189,563,750,931,652,163,690,374,
580,223,956,125,910,372,124,492,225,291,026,329,044,248,477,772,713,961,334,
962,789,493,140,815,192,923,973,828,021,716,487,471,582,401,372,235,105,545,
610,159,349,217,689,443,463,481,277,728,784,322,539,478,046,834,063,841,832,
911,417,595,386,934,719,800,726,580,359,675,885,675,718,447,232,533,725,049,
417,747,462,086,963,663,319,788,049,853,579,834,596,750,140,993,227,186,779,
193,797,425,106,776,486,193,135,323,672,788,534,157,623,474,423,007,204,522,
213,221,598,590,495,712,120,409,831,078,783,126,189,336,235,897,787,634,850,
939,179,953,448,936,157,092,060,891,344,550,727,667,485,156,014,611,863,101,
676,248,747,470,756,793,742,494,100,100,412,037,631,674,193,375,301,627,236,
402,148,535,921,181,370,546,693,624,435,636,579,808,149,003,265,347,932,086,
616,317,520,682,352,472,129,176,049,282,442,154,459,389,861,478,717,960,570,
727,056,313,388,289,338,828,941,520,598,560,246,189,523,880,750,741,302,151,
951,097,328,106,979,708,863,666,911,017,288,234,848,595,764,126,832,647,867,
123,684,597,248,917,548,649,003,563,474,403,595,754,498,767,866,341,847,763,
838,194,018,891,491,405,934,360,794,468,526,436,940,746,975,509,189,105,807,
193,092,054,216,250,986,910,884,213,497,445,856,547,086,651,222,128,614,792,
799,233,851,745,946,464,138,759,916,767,463,141,752,412,743,785,020,206,526,
488,588,566,651,574,894,046,264,865,410,038,194,458,302,053,860,076,221,042,
595,864,401,707,304,180,912,261,784,189,242,658,800,930,818,689,396,749,342,
007,035,544,821,616,529,739,118,649,011,269,886,232,376,091,743,552,112,770,
667,487,836,436,095,087,504,777,053,018,907,361,749,823,476,262,319,841,285,
227,134,167,832,244,889,432,142,403,592,703,457,067,240,039,222,487,896,265,
804,486,999,037,891,087,161,262,701,832,117,227,307,100,609,455,024,095,409,
996,676,585,630,849,169,921,792,816,904,383,592,883,256,351,193,871,029,135,
874,174,997,891,917,518,420,234,848,102,035,189,801,658,742,918,606,655,126,
447,807,571,518,765,303,555,861,262,877,880,012,858,025,580,182,978,813,082,
582,109,752,195,700,825,111,054,374,254,426,992,472,634,237,282,938,333,938,
930,734,564,760,723,403,155,313,199,445,540,582,747,942,748,524,952,896,216,
302,140,717,912,827,200,017,960,408,735,821,199,160,155,104,586,168,840,402,
963,224,893,628,991,181,227,873,979,709,610,604,526,785,948,858,643,370,944,
952,950,259,529,245,807,780,613,868,940,202,928,470,668,585,484,941,815,140,
409,460,365,244,319,326,460,468,276,036,547,768,789,512,160,145,983,238,933,
027,861,174,280,415,046,936,335,074,010,222,388,565,840,322,416,591,874,150,
056,419,393,112,798,200,590,758,594,290,817,830,037,755,778,871,337,255,676,
854,092,185,504,205,607,615,511,065,635,143,389,203,857,141,229,672,409,733,
403,029,335,163,256,392,975,249,883,508,830,039,710,124,160,097,178,837,364,
942,876,420,859,700,649,285,967,406,976,105,876,274,668,416,894,951,652,712,
498,239,679,933,088,196,164,781,625,190,090,736,491,281,754,895,983,938,927,
297,878,164,658,508,447,526,003,273,668,963,106,004,470,395,031,623,851,471,
411,957,839,346,738,792,968,507,930,392,956,347,888,298,619,598,107,025,713,
054,719,672,183,686,954,095,776,485,262,019,707,170,944,408,842,388,234,424,
233,302,524,446,399,235,478,170,572,547,025,840,627,735,584,374,142,373,960,
878,890,682,478,134,823,287,827,838,139,626,551,215,587,006,679,117,443,464,
273,545,815,656,055,298,130,523,579,467,915,324,307,640,683,004,778,021,521,
902,580,120,194,396,118,224,004,077,864,197,294,825,088,615,206,581,237,904,
185,711,275,168,558,869,797,810,470,266,170,790,239,881,714,452,156,718,131,
769,338,399,422,693,241,020,301,482,930,314,182,827,691,662,526,935,234,187,
349,789,874,205,672,831,346,910,372,813,934,001,432,886,282,210,224,741,168,
614,569,910,113,717,836,850,112,169,206,251,966,374,249,208,384,919,359,674,
823,094,201,964,030,688,260,898,407,813,628,392,102,117,947,439,228,407,444,
158,699,540,745,890,926,121,132,423,040,252,770,355,940,994,335,763,708,759,
146,596,833,119,009,982,744,651,662,836,890,831,761,293,845,183,292,616,106,
178,888,923,017,817,476,508,145,421,035,241,031,627,687,576,734,811,690,743,
928,629,594,650,887,093,058,964,730,969,614,555,638,965,681,282,563,291,334,
691,263,340,904,318,974,121,989,606,051,343,481,674,199,726,918,588,502,902,
472,820,634,278,406,175,167,818,161,461,473,373,787,058,494,098,859,626,281,
350,665,939,352,094,990,443,998,788,298,729,278,892,579,045,211,114,709,652,
634,344,858,781,641,845,481,799,351,980,969,312,534,943,974,962,327,796,667,
677,646,148,616,186,359,997,056,961,115,912,184,513,533,120,753,265,096,464,
869,969,606,297,222,878,315,845,639,326,986,073,345,822,815,669,714,334,010,
101,011,545,647,966,679,213,697,388,267,084,966,983,907,990,603,124,966,282,
785,339,113,514,300,475,052,173,845,080,122,777,252,304,662,687,355,693,808,
335,815,070,313,098,893,729,562,641,295,883,219,614,567,760,953,702,745,071,
748,250,818,882,937,766,515,870,358,327,208,902,932,124,027,086,259,263,835,
241,311,789,089,317,752,594,161,547,966,479,710,669,400,329,776,824,078,861,
543,684,956,109,841,048,181,148,678,334,668,180,368,725,700,939,818,963,622,
422,972,608,121,116,387,546,057,152,226,850,731,247,653,400,275,960,526,616,
942,284,515,761,483,927,659,116,410,536,290,803,624,795,508,870,723,527,760,
226,487,423,312,344,923,754,879,901,137,817,479,871,086,705,236,948,160,695,
684,585,853,563,184,120,189,898,769,943,014,381,082,989,975,875,927,232,309,
252,029,457,668,395,041,049,958,145,886,041,405,927,930,363,545,033,412,122,
711,959,113,396,145,616,454,337,948,019,497,951,841,128,202,195,098,015,963,
670,007,621,648,059,119,782,857,797,605,895,950,473,151,375,478,867,135,533,
146,773,941,874,286,987,854,802,722,532,578,610,043,363,594,991,348,225,782,
165,988,236,968,967,783,895,421,398,718,340,259,673,174,415,576,214,461,513,
153,833,490,421,837,394,634,495,200,840,981,938,971,666,596,341,001,677,662,
422,489,506,958,020,193,574,477,604,338,644,500,844,638,628,890,850,585,156,
531,041,954,873,757,149,110,550,230,069,302,902,266,534,711,463,899,063,401,
449,273,243,597,393,514,412,602,345,657,590,734,483,936,672,828,446,411,704,
177,941,858,297,701,899,869,351,264,061,165,628,880,291,733,872,659,704,326,
895,495,405,642,800,132,081,206,668,473,177,255,136,817,167,970,197,655,592,
069,009,655,707,597,920,421,851,066,735,634,960,144,855,179,914,115,907,986,
441,152,508,814,548,942,585,861,450,464,130,226,823,075,570,594,502,607,204,
276,907,223,690,138,857,863,857,644,697,526,195,048,808,206,976,287,561,336,
038,442,703,694,694,989,503,746,171,930,283,134,888,961,722,818,944,670,405,
170,100,959,739,382,339,260,870,307,119,948,133,585,188,518,018,130,909,479,
151,546,432,915,924,893,017,159,322,743,510,110,738,312,162,919,848,359,004,
262,924,099,110,431,597,755,736,764,798,357,688,151,012,978,461,375,687,885,
524,604,916,957,702,123,602,524,145,069,872,503,577,130,890,876,648,892,096,
788,558,165,487,728,818,591,752,068,135,452,874,760,979,328,094,708,735,448,
787,195,098,850,875,365,820,955,353,753,837,813,234,804,685,082,701,028,545,
572,973,640,859,548,355,212,031,055,744,589,651,090,335,956,369,165,257,244,
820,470,548,747,802,505,495,670,977,662,344,823,776,286,039,710,928,074,691,
710,007,809,347,144,024,521,200,478,121,573,335,455,802,835,130,354,614,807,
355,614,897,771,878,572,311,569,290,200,179,519,516,525,102,791,370,898,548,
814,552,797,195,105,724,698,028,921,890,836,801,300,731,161,577,406,034,430,
508,768,059,738,201,280,433,229,485,941,736,435,347,031,583,744,006,300,638,
595,345,060,986,604,573,717,315,963,338,497,898,848,493,855,213,756,974,476,
692,730,268,044,201,155,998,411,474,719,302,867,658,715,513,285,939,527,369,
725,635,859,756,376,081,861,123,584,646,716,943,665,882,243,272,417,205,170,
701,265,606,564,199,619,106,382,556,013,224,406,617,426,280,706,927,660,155,
465,614,166,526,907,121,147,109,436,695,012,648,175,058,101,756,083,829,763,
441,212,989,676,094,917,479,428,773,814,016,733,506,665,698,565,453,544,718,
699,418,685,706,197,393,057,156,829,683,624,238,283,755,573,099,554,678,310,
506,589,250,757,456,335,141,311,566,299,268,912,612,412,535,360,149,981,613,
388,394,343,298,281,221,879,968,432,090,496,280,916,132,723,215,460,114,792,
497,002,328,905,117,568,092,602,614,599,416,202,554,145,672,757,956,079,644,
529,894,234,143,611,929,184,860,959,565,120,614,728,833,495,214,946,122,884,
646,442,558,963,367,107,940,463,375,582,346,218,227,906,449,392,830,699,319,
111,612,354,929,425,965,802,190,467,497,288,176,823,592,167,848,916,089,872,
089,488,955,578,141,307,311,893,630,746,026,875,482,320,637,799,152,042,499,
549,921,255,430,926,114,929,665,301,740,274,053,579,353,059,749,920,053,481,
118,402,819,796,275,993,340,595,858,290,018,063,906,167,589,569,203,113,418,
748,948,453,576,427,419,791,899,881,565,036,263,172,530,670,944,973,520,057,
524,387,187,228,156,183,502,683,744,488,661,070,348,047,067,873,846,533,145,
326,048,885,363,962,702,540,382,240,923,011,986,356,714,360,360,803,969,211,
747,335,969,939,643,434,355,766,351,831,978,513,296,317,969,142,059,084,334,
302,807,882,789,184,713,613,363,070,523,852,753,005,778,900,501,795,328,848,
317,316,666,638,243,786,356,833,057,607,706,100,814,394,924,995,969,687,275,
297,846,074,208,186,104,178,103,809,161,608,901,721,358,035,521,142,045,262,
909,682,500,912,903,743,130,093,561,679,776,121,797,324,183,499,147,333,538,
802,165,668,045,028,293,508,803,519,397,025,322,731,223,621,545,393,003,014,
065,147,109,569,319,435,818,854,236,799,139,436,396,099,399,276,298,962,141,
191,606,611,397,305,770,295,642,430,933,578,282,297,878,418,043,390,658,815,
929,571,212,671,438,443,281,655,425,158,176,279,654,280,111,472,100,555,526,
170,345,641,033,694,144,252,277,486,222,507,933,149,669,126,980,047,576,580,
825,515,298,629,082,732,759,249,739,310,061,128,094,871,663,140,481,655,894,
743,455,683,707,794,162,718,571,249,800,239,680,796,836,478,462,030,442,409,
904,147,459,566,155,101,816,984,022,873,329,508,438,850,308,440,314,875,480,
597,733,659,580,782,721,424,531,236,394,990,233,079,470,859,669,001,487,634,
281,046,783,665,156,175,041,881,981,068,314,432,797,635,105,308,324,064,993,
762,132,489,596,343,677,557,874,310,739,695,244,207,457,791,148,452,350,523,
542,847,127,492,406,104,028,307,237,352,529,636,024,764,376,833,348,267,805,
092,144,285,905,471,428,264,723,895,680,931,106,003,430,957,668,409,107,427,
858,706,931,909,150,628,667,512,866,693,167,967,018,251,016,543,310,199,232,
961,820,292,755,195,297,337,540,443,286,739,980,020,176,671,683,732,258,009,
951,756,106,545,967,026,657,608,157,147,468,152,141,683,129,563,184,794,694,
404,054,725,055,791,665,398,384,340,237,908,581,969,836,379,483,788,912,550,
092,586,228,977,243,661,951,443,782,120,966,143,668,966,638,448,854,510,355,
980,162,109,226,041,409,473,873,415,939,034,803,316,708,896,966,816,538,516,
936,434,209,159,416,876,755,905,749,868,431,062,968,378,016,816,698,127,112,
774,663,363,489,850,208,580,006,368,722,742,601,611,230,137,692,558,802,393,
428,167,229,773,020,554,808,002,092,818,084,074,864,104,166,592,604,370,397,
659,199,482,503,357,214,564,208,382,790,314,295,537,668,926,723,388,545,161,
391,507,094,111,950,576,444,162,319,319,605,026,298,714,541,080,211,353,432,
289,871,228,110,222,165,955,083,488,631,608,084,699,002,031,483,920,655,472,
572,953,358,616,436,184,879,476,972,328,718,983,258,805,645,503,070,229,266,
477,909,323,076,567,734,637,058,043,964,682,524,461,373,792,846,386,278,332,
176,490,995,544,623,595,791,871,782,800,564,944,116,245,550,380,594,097,189,
728,594,729,656,722,862,779,524,737,736,574,941,598,568,515,883,329,415,353,
505,410,322,646,343,724,742,440,964,177,703,592,128,334,640,106,738,084,526,
484,904,995,051,731,412,290,334,823,333,385,642,656,517,547,261,484,521,060,
380,637,473,550,070,212,851,345,946,361,556,283,536,700,259,588,767,880,334,
564,037,362,734,180,552,527,586,036,553,425,244,259,290,598,253,974,704,116,
466,166,327,102,892,289,598,223,969,786,830,033,293,262,354,492,230,930,471,
048,720,336,605,797,309,171,797,370,868,813,682,331,985,402,929,833,253,878,
020,757,183,887,675,691,057,322,432,979,572,046,477,180,140,064,923,534,753,
046,932,616,964,793,801,762,460,747,460,456,101,099,012,934,177,844,282,675,
586,855,731,577,484,888,236,024,194,355,012,798,107,198,545,453,174,570,062,
540,030,847,945,228,557,342,315,655,947,631,287,814,648,358,357,198,997,465,
524,342,676,858,854,881,709,957,871,407,430,984,743,550,861,979,953,718,621,
293,236,308,110,288,337,828,797,895,930,297,173,222,966,164,493,028,877,933,
202,806,567,097,537,035,546,710,185,200,396,255,844,150,595,383,013,964,708,
143,438,140,323,559,623,657,815,715,153,069,150,571,116,403,171,872,146,853,
277,149,091,967,961,963,775,374,389,724,967,527,444,511,231,151,568,952,800,
653,168,662,375,342,166,850,730,800,385,981,183,585,506,348,637,381,354,404,
462,760,640,980,541,756,547,431,743,720,176,590,025,501,952,320,257,136,296,
664,508,368,775,254,277,010,603,258,937,790,886,548,021,968,272,878,949,245,
642,102,523,291,164,022,216,746,481,183,533,811,690,265,730,526,145,234,798,
255,638,411,568,474,142,817,321,398,266,725,756,158,596,381,107,955,162,178,
248,694,348,878,420,751,428,550,248,295,890,226,611,988,149,112,667,144,440,
528,652,783,402,140,414,751,872,797,161,661,878,358,332,059,571,787,577,799,
860,906,223,243,501,568,070,459,942,489,165,786,942,947,565,595,472,151,995,
007,600,753,025,442,519,834,191,164,972,415,225,315,102,195,124,356,467,262,
473,301,415,491,292,035,414,528,450,927,001,798,499,373,055,552,241,364,700,
531,262,391,480,177,912,074,091,136,944,845,901,102,532,245,544,276,414,056,
813,223,757,022,043,183,476,904,822,837,832,714,205,650,200,405,103,057,590,
213,935,491,353,670,019,257,347,584,186,122,520,378,669,592,391,855,709,476,
909,101,989,130,737,614,318,147,630,566,203,439,968,326,044,971,856,042,041,
441,499,829,194,083,175,489,809,171,499,192,188,514,940,268,700,277,553,996,
683,984,120,685,156,482,242,071,554,701,718,733,186,553,894,978,914,386,110,
749,725,571,767,695,482,581,513,468,396,377,450,783,893,299,695,221,937,495,
520,361,835,541,910,193,016,316,084,270,673,387,205,202,796,821,053,798,626,
309,223,775,470,694,163,094,892,242,144,796,429,553,787,514,267,452,856,796,
700,104,411,736,160,310,439,204,791,840,506,297,597,152,765,596,967,060,439,
343,291,895,805,721,289,088,678,358,123,886,047,916,226,344,674,859,364,419,
987,125,426,964,268,705,632,475,430,693,105,169,726,861,297,105,031,814,608,
941,231,585,024,093,928,314,647,013,449,832,946,182,968,117,594,627,232,008,
927,947,806,335,233,547,628,894,432,642,785,451,702,108,084,039,887,353,515,
173,682,058,419,769,516,390,686,103,995,088,912,155,581,121,767,813,143,070,
050,628,576,811,987,207,439,887,004,828,449,713,860,565,772,598,753,388,454,
698,418,734,845,087,564,216,535,733,791,474,240,728,155,319,149,645,138,395,
081,896,037,322,828,254,976,610,492,971,331,288,161,036,559,119,702,504,555,
510,395,868,770,046,685,459,377,062,554,467,502,783,599,705,573,990,210,044,
681,819,483,101,190,160,815,934,070,209,744,977,653,682,273,530,490,604,717,
868,981,064,375,844,872,499,910,986,485,470,984,099,023,401,120,467,698,972,
050,621,691,998,795,504,293,439,566,252,690,498,753,695,520,423,025,329,535,
656,289,471,784,140,744,781,507,202,418,765,815,485,050,139,078,219,083,917,
778,729,888,635,275,728,347,808,830,710,009,460,663,577,694,271,497,703,869,
449,422,100,998,440,529,053,131,281,451,106,802,434,260,666,401,826,954,728,
226,443,313,736,285,554,489,446,149,161,608,447,357,246,239,773,949,437,307,
534,845,837,148,328,856,677,838,142,870,136,012,640,017,052,675,666,053,201,
652,997,388,029,874,042,754,162,970,006,019,793,646,121,416,673,172,483,798,
170,209,488,268,710,880,543,309,140,359,800,368,868,748,958,984,623,398,602,
830,946,641,549,421,728,578,107,974,162,915,433,956,643,787,869,035,213,700,
365,992,692,083,409,897,623,590,304,673,487,594,492,333,436,733,106,635,842,
079,779,431,358,818,041,136,308,891,228,685,921,028,669,929,716,538,103,040,
546,540,221,060,766,525,005,680,690,663,627,337,565,892,130,686,153,048,634,
630,327,869,664,294,321,989,772,550,978,107,971,243,114,095,289,961,091,231,
564,222,551,486,981,526,713,657,352,900,642,871,425,329,392,960,500,085,981,
287,915,976,910,696,465,376,368,809,835,990,268,460,470,132,064,575,593,951,
203,485,599,081,785,721,559,816,174,175,515,436,628,734,841,741,114,727,363,
165,962,669,111,597,396,574,947,895,272,681,111,176,003,195,557,421,700,195,
937,962,609,797,687,003,334,018,374,170,138,109,466,151,532,654,705,652,873,
596,474,862,243,556,552,489,697,385,107,100,987,345,546,274,840,127,783,804,
182,177,025,214,293,220,131,461,486,413,074,903,462,454,733,105,954,385,927,
971,351,990,110,163,844,127,706,175,467,081,352,174,275,564,724,883,833,705,
334,687,570,028,939,678,634,857,193,167,270,094,814,717,146,561,721,135,147,
289,626,171,122,177,348,949,288,695,956,850,645,936,840,629,635,697,668,367,
611,749,581,350,575,741,281,506,160,315,702,814,231,044,581,259,366,847,599,
331,572,909,083,854,148,789,057,730,927,287,281,599,681,809,460,311,934,823,
429,858,602,860,215,732,031,721,568,897,792,490,301,680,598,965,840,545,106,
033,978,192,038,154,306,714,174,622,257,867,071,265,915,099,027,693,872,596,
598,967,658,198,366,159,967,961,886,431,681,684,274,319,963,347,462,212,399,
045,143,023,781,541,323,677,696,372,744,127,544,858,298,199,820,178,392,308,
509,561,893,066,507,879,086,432,494,830,972,383,192,145,817,831,283,830,625,
485,793,015,502,389,498,545,544,845,080,461,402,403,261,034,077,518,788,662,
301,179,766,512,521,640,360,780,412,752,660,901,836,748,902,167,750,644,707,
586,526,542,964,945,669,039,662,093,278,632,603,559,854,640,847,317,498,469,
641,375,981,041,831,303,762,423,934,865,525,951,546,283,969,645,351,418,036,
128,933,933,419,587,490,211,108,901,639,983,335,418,085,675,657,544,423,847,
748,582,480,146,336,690,606,400,100,417,782,482,915,779,951,384,584,443,471,
368,157,869,977,402,612,273,251,160,755,852,607,183,326,673,792,826,686,582,
857,060,621,058,373,173,976,504,570,554,442,952,867,031,904,502,291,057,971,
844,243,719,657,500,828,262,035,567,156,994,584,816,517,276,043,615,707,521,
857,711,768,810,160,814,497,343,717,673,593,437,497,429,681,848,283,553,467,
151,602,964,839,261,112,370,348,882,898,755,333,486,994,223,286,208,241,739,
152,470,305,091,068,011,250,553,532,178,502,705,750,725,027,418,749,104,862,
209,066,592,529,834,574,815,647,079,503,258,853,291,908,793,035,376,586,226,
621,852,403,125,234,929,399,629,907,846,540,961,673,046,544,957,880,258,587,
526,760,032,498,628,400,100,515,898,635,244,676,168,600,104,726,206,154,303,
317,299,600,582,032,433,623,026,668,513,798,210,010,296,538,234,907,449,366,
514,758,973,223,805,215,729,109,711,414,869,208,182,318,045,048,095,500,998,
995,723,263,057,267,582,695,963,520,759,765,334,181,451,763,343,466,607,643,
640,730,624,243,262,033,687,264,339,027,572,244,136,764,762,612,824,416,682,
064,476,353,742,674,512,382,708,144,224,625,784,298,527,963,465,538,606,796,
610,298,222,288,928,112,759,931,919,859,765,970,185,101,226,937,290,915,082,
336,608,625,761,623,096,744,474,754,558,140,661,585,243,314,686,506,691,790,
522,981,026,665,946,202,730,307,825,883,302,448,470,684,362,340,691,051,173,
569,015,073,273,387,952,585,523,770,242,988,772,551,093,675,135,640,589,622,
783,253,450,849,747,581,116,586,561,272,897,291,940,725,111,131,762,042,283,
414,803,224,738,547,280,459,958,128,754,536,531,520,225,580,441,593,216,180,
283,813,512,770,090,115,828,917,019,104,961,450,128,921,920,528,759,703,246,
987,830,038,724,952,731,525,929,067,108,054,133,766,603,836,003,704,421,662,
498,139,453,011,183,235,869,414,173,768,574,993,030,561,488,075,003,352,039,
542,013,856,608,786,359,861,333,232,989,143,639,710,578,457,856,926,633,616,
689,712,944,674,867,095,963,811,554,213,446,712,602,134,271,115,780,917,456,
635,190,846,152,968,813,516,666,894,844,710,182,423,009,764,409,742,569,040,
144,939,941,969,191,916,514,866,143,975,600,879,559,974,548,337,404,836,367,
902,909,790,854,627,898,252,405,674,689,382,392,080,367,676,062,142,269,533,
018,118,081,966,516,628,679,058,193,675,038,484,674,928,919,816,074,505,538,
077,184,082,828,021,930,859,647,201,667,054,152,346,016,525,222,728,447,485,
533,152,577,481,756,006,653,853,946,800,592,483,396,401,906,536,656,699,507,
689,539,155,915,221,966,739,267,745,190,428,128,651,148,053,540,999,144,795,
087,642,567,786,377,860,405,913,194,498,296,342,457,373,818,321,177,659,259,
220,089,765,756,920,158,871,271,671,841,877,040,040,968,779,731,338,790,929,
252,880,221,319,949,269,713,888,134,507,186,189,126,999,103,145,751,708,855,
121,265,702,085,940,361,078,237,851,768,148,011,166,962,541,836,075,277,669,
829,953,922,194,411,378,555,561,483,087,526,985,166,152,297,617,121,887,691,
279,107,306,414,528,291,587,916,148,875,242,356,361,552,044,758,139,803,148,
814,386,803,165,832,069,519,790,756,727,058,710,380,612,471,464,727,801,755,
434,457,132,553,901,346,912,292,114,341,769,546,796,343,106,564,376,785,730,
422,437,836,449,641,544,009,954,527,272,790,781,050,210,609,596,812,900,075,
997,221,875,048,920,005,475,672,761,414,453,483,422,931,191,015,342,289,369,
279,163,338,999,297,722,147,946,798,603,953,816,162,727,813,890,007,438,647,
664,333,684,999,341,931,823,099,592,715,111,987,590,272,938,926,258,915,434,
225,571,541,008,368,665,897,482,957,508,540,070,827,680,115,704,323,304,387,
913,446,348,203,086,267,769,647,377,672,042,594,303,814,623,203,573,835,902,
000,627,318,705,432,160,295,626,459,543,942,168,033,529,557,885,869,425,366,
214,910,923,451,787,235,022,907,400,279,803,393,593,773,449,656,400,522,709,
856,439,591,121,445,082,359,004,231,235,248,199,054,191,031,890,474,870,334,
312,712,559,765,845,709,613,352,462,529,137,069,843,883,824,361,079,120,623,
295,881,835,961,951,494,918,039,066,093,659,450,562,911,070,504,487,402,960,
951,780,014,150,436,227,540,180,839,202,419,942,581,991,934,108,212,353,238,
988,610,973,175,617,476,829,916,984,508,963,237,521,380,620,843,814,431,187,
784,947,942,732,427,938,489,172,099,842,376,330,498,990,702,870,752,189,220,
836,271,581,855,789,161,726,149,043,933,607,816,564,050,040,199,601,686,963,
858,252,436,319,652,722,001,755,338,444,668,270,304,965,422,210,790,508,063,
596,280,095,237,809,179,767,782,883,044,169,125,838,757,487,904,475,931,097,
076,611,735,113,506,181,513,011,256,542,917,479,146,553,248,563,651,105,909,
830,212,857,338,642,005,087,892,783,495,574,137,972,140,065,349,317,245,584,
108,415,299,671,722,415,933,648,551,816,206,567,937,721,786,269,370,382,331,
682,258,319,034,975,524,652,427,080,266,254,935,439,451,066,160,801,026,320,
648,377,987,874,825,621,041,507,380,558,587,862,885,981,165,698,054,653,869,
266,534,506,579,519,275,372,993,308,098,125,588,561,966,162,048,382,402,397,
339,520,859,385,071,703,841,804,535,258,146,620,162,946,397,010,691,115,955,
657,815,471,718,159,546,143,292,291,077,412,430,182,931,910,292,104,645,419,
177,705,420,269,185,566,080,999,440,057,317,181,536,182,609,920,899,968,125,
844,003,601,969,840,827,602,226,353,995,573,914,967,076,556,702,119,606,375,
345,506,456,967,367,502,015,173,801,478,182,014,675,227,860,369,649,719,037,
627,435,524,679,345,415,820,419,733,053,296,421,949,766,437,535,600,612,492,
884,627,774,125,605,174,869,703,376,264,240,240,833,411,749,273,493,791,023,
419,169,417,692,011,022,241,813,336,534,224,582,101,692,226,093,244,908,190,
855,358,764,009,646,068,551,750,378,976,534,138,687,760,744,274,055,468,796,
738,677,753,300,577,772,853,386,335,006,433,317,799,953,272,195,238,853,243,
066,643,104,063,549,506,180,027,998,787,365,634,638,147,478,523,035,646,086,
918,878,588,203,503,440,286,288,665,136,030,760,966,897,327,101,994,769,446,
585,302,243,487,145,812,141,829,851,484,050,666,425,797,367,989,496,000,271,
701,116,619,901,691,199,879,730,668,036,814,691,775,450,437,612,003,205,052,
908,205,098,204,115,557,938,334,560,688,083,736,060,006,355,496,331,343,273,
576,461,281,248,357,027,767,981,266,638,876,255,458,448,719,401,489,481,732,
591,200,866,203,371,318,658,347,507,054,050,896,348,261,127,949,188,644,341,
882,400,780,223,945,983,063,901,724,447,833,119,876,555,439,923,163,516,953,
623,046,905,948,150,556,290,626,901,755,138,907,265,411,424,491,628,916,531,
436,802,538,662,359,656,629,222,531,935,420,158,765,837,166,263,972,285,354,
853,137,886,544,532,776,365,633,864,889,245,173,100,532,066,746,368,826,626,
328,393,887,249,895,865,431,916,255,394,000,952,646,347,909,519,166,593,780,
427,792,360,683,620,638,230,889,381,598,833,642,345,535,879,348,909,461,893,
774,793,549,759,924,895,157,058,684,799,583,199,533,739,592,731,089,841,577,
771,701,513,727,906,823,891,121,239,980,821,152,370,715,511,019,226,766,446,
654,367,507,088,713,117,318,720,673,490,171,780,701,141,637,091,318,361,691,
621,324,749,540,167,405,849,356,730,811,209,396,088,301,665,435,277,420,089,
865,750,080,569,317,124,717,584,115,368,988,683,988,345,716,273,188,605,204,
383,786,274,479,897,409,195,947,105,768,605,063,135,006,753,502,085,717,662,
399,451,791,278,459,835,125,055,351,695,499,839,836,827,280,603,961,941,622,
251,559,972,989,933,190,535,513,995,357,408,219,694,395,501,642,224,857,263,
962,192,391,349,132,621,476,916,657,110,445,309,028,054,707,088,774,705,721,
265,764,844,720,387,075,645,687,710,227,438,843,044,942,907,319,753,955,139,
906,951,296,023,837,225,456,752,897,245,756,285,371,710,669,231,330,833,731,
266,425,610,799,055,095,551,910,499,161,432,885,507,822,838,777,283,787,231,
655,061,888,934,241,425,572,785,917,924,597,883,415,300,987,478,016,782,399,
696,127,662,109,560,805,267,788,354,053,438,464,076,116,806,722,093,179,241,
534,742,693,172,920,371,391,135,778,457,792,639,786,906,044,043,546,993,823,
782,342,118,622,615,464,328,244,280,084,198,675,917,402,360,084,494,130,493,
332,935,058,640,100,790,332,913,921,317,717,634,323,291,549,059,134,927,762,
882,292,086,732,050,814,795,265,463,509,431,809,749,819,699,615,397,771,985,
825,720,431,500,696,719,481,092,933,835,576,821,524,649,852,825,977,949,458,
810,504,134,922,457,798,537,886,688,756,256,262,536,003,031,184,692,898,960,
189,761,576,926,668,058,384,501,783,166,475,811,839,674,304,038,940,789,604,
311,204,659,849,433,820,063,539,667,209,269,186,309,226,247,898,692,884,030,
887,193,607,504,172,866,688,593,856,658,597,491,133,675,908,112,354,239,317,
183,618,649,556,209,985,518,790,443,649,518,714,778,937,963,823,967,227,465,
305,736,525,224,267,566,798,126,291,727,160,967,497,206,620,150,979,015,152,
557,454,320,488,545,921,565,982,165,569,464,571,507,165,020,028,189,807,764,
976,765,008,454,269,549,507,707,675,589,087,295,925,250,267,355,454,413,807,
119,658,576,784,319,118,144,871,195,633,985,787,116,590,253,596,095,094,219,
455,150,025,755,002,874,832,591,885,925,264,490,456,661,309,117,987,604,675,
793,651,888,258,744,466,028,335,109,416,210,429,764,335,541,310,128,256,831,
876,126,747,016,972,078,258,025,123,479,060,823,987,451,019,724,421,928,066,
702,857,572,587,840,714,223,325,666,116,482,719,796,021,186,027,635,550,432,
701,123,978,437,274,992,707,750,962,206,987,524,124,997,356,755,503,554,833,
306,678,551,624,440,298,051,055,634,004,742,892,708,074,645,147,722,034,434,
980,201,141,169,654,785,685,045,851,102,482,884,750,984,198,484,792,252,420,
933,896,187,564,245,192,115,945,136,057,603,587,109,500,419,497,539,766,593,
526,147,868,146,556,793,655,511,192,879,052,646,045,063,725,515,954,310,701,
954,815,444,428,803,255,780,818,930,203,392,398,110,722,670,415,808,819,563,
298,935,951,261,625,736,257,436,813,924,024,649,661,514,245,587,097,366,673,
798,857,038,692,636,177,626,825,656,404,492,516,338,170,910,925,147,487,870,
796,244,760,695,651,009,201,355,926,726,572,602,599,496,347,668,396,382,220,
024,626,756,873,789,160,027,593,679,673,192,496,789,797,451,310,339,991,539,
118,989,052,921,428,835,899,948,850,505,782,294,822,578,397,482,304,240,057,
733,642,675,981,552,476,808,084,981,948,296,030,208,828,210,749,924,359,826,
982,957,638,265,075,159,884,883,780,952,691,639,937,153,793,397,629,703,682,
790,410,273,233,823,277,752,536,559,097,246,496,461,169,326,404,272,123,681,
154,758,930,060,967,284,084,518,395,013,791,030,992,975,120,940,430,836,102,
651,308,430,846,452,961,136,327,133,382,027,269,951,550,351,411,964,731,241,
002,991,814,043,257,866,412,659,482,293,318,511,176,050,186,993,445,791,275,
460,788,208,247,895,739,532,515,060,398,591,791,029,136,716,563,301,836,062,
848,379,846,375,657,041,270,644,991,282,471,949,219,604,856,673,335,484,724,
522,864,626,740,219,642,561,161,847,628,580,760,609,358,468,693,628,574,290,
800,298,641,207,508,672,071,998,532,508,145,090,988,468,719,644,876,892,631,
808,413,063,660,056,065,704,680,091,195,666,513,308,021,736,947,398,070,771,
368,497,694,883,253,896,159,612,980,754,521,297,315,891,516,710,728,766,260,
738,994,350,405,686,736,264,823,483,185,188,181,098,397,177,459,155,738,352,
010,875,778,190,992,888,093,337,213,996,675,242,463,973,620,028,071,999,219,
683,914,579,604,710,278,755,483,693,795,819,226,216,933,729,174,675,560,171,
309,628,029,189,986,653,282,931,765,024,702,330,980,180,235,678,577,803,279,
578,319,509,826,389,907,674,328,767,242,633,499,301,088,792,362,815,090,425,
496,483,048,356,523,292,695,304,146,882,554,193,542,119,265,297,988,887,995,
010,750,740,116,301,930,139,719,518,388,954,673,177,343,436,436,556,744,505,
667,341,150,316,226,101,135,344,444,095,981,937,393,502,316,908,195,583,151,
023,574,369,513,726,189,922,075,019,356,884,056,600,419,568,711,652,292,887,
481,451,437,084,999,295,134,660,111,287,846,944,669,852,756,813,940,830,864,
748,411,626,961,867,286,575,824,890,030,379,099,141,022,775,326,881,375,079,
831,292,921,011,591,402,287,366,113,629,482,610,783,101,622,354,795,782,467,
205,060,969,568,370,610,140,985,023,795,364,106,306,374,866,848,372,741,091,
871,556,512,503,673,143,116,541,051,199,327,286,837,178,561,798,882,820,509,
755,655,129,238,496,646,126,626,433,195,998,513,466,794,773,018,749,307,226,
429,722,240,545,731,667,987,255,966,060,881,267,920,002,282,211,371,292,472,
729,434,091,390,392,241,596,447,577,419,918,240,659,442,291,361,924,866,703,
411,066,425,296,326,463,373,585,666,531,225,762,675,460,939,132,246,994,901,
922,568,826,288,101,730,481,657,731,646,460,838,135,613,576,675,017,674,430,
559,626,093,283,596,654,690,417,626,651,958,254,919,545,865,406,833,391,204,
702,849,635,911,100,389,981,681,773,523,292,670,359,251,094,139,824,971,352,
920,215,539,000,599,766,692,183,493,018,472,559,292,242,195,942,826,978,556,
698,295,263,228,117,303,724,647,504,100,785,545,816,207,570,331,953,235,087,
152,991,326,110,364,401,269,075,891,862,881,788,541,833,155,289,951,534,190,
481,505,377,215,738,699,862,019,052,436,133,263,380,753,877,607,841,430,495,
792,602,028,736,327,925,080,413,168,439,600,557,186,390,461,492,993,506,487,
823,232,343,506,830,814,605,266,116,923,926,444,062,369,596,283,902,598,972,
375,094,945,667,271,389,393,093,331,103,228,085,288,503,655,574,988,077,297,
770,317,442,578,969,360,596,393,221,385,734,024,750,351,319,978,188,876,783,
439,364,450,040,963,260,946,576,462,183,559,060,108,615,072,724,755,096,922,
914,112,478,580,001,595,249,968,360,330,498,661,545,737,822,674,346,315,093,
418,482,840,649,079,059,090,088,366,108,139,763,780,225,308,933,045,903,009,
091,792,664,849,366,117,685,743,684,154,743,945,829,976,940,607,931,600,212,
716,676,313,635,722,087,932,471,430,321,694,767,749,493,899,185,824,690,820,
865,822,825,372,630,890,618,322,280,580,107,046,602,185,907,552,177,729,099,
430,338,763,484,149,409,494,662,135,111,103,704,695,750,109,494,830,646,244,
327,885,392,196,010,529,923,089,490,190,530,034,884,459,499,046,114,191,067,
852,580,216,085,021,702,263,643,422,340,284,973,787,245,386,042,234,551,302,
597,725,836,428,459,389,960,542,680,124,825,039,163,871,769,553,149,364,645,
560,806,873,679,308,027,483,993,553,620,066,981,077,552,645,774,950,227,405,
704,539,448,568,017,485,119,330,158,692,542,773,810,215,718,567,027,568,303,
484,568,849,271,000,864,027,760,781,495,486,687,124,094,490,820,796,529,967,
760,706,492,191,230,654,040,628,345,010,776,951,295,869,123,353,230,073,590,
405,267,147,611,819,002,020,274,071,992,954,448,939,201,822,575,359,559,764,
207,633,591,278,711,302,783,269,776,141,664,299,857,180,836,786,188,613,070,
258,319,430,930,780,776,403,726,048,819,722,133,317,756,791,818,240,045,046,
491,982,052,997,453,145,654,111,865,834,975,827,374,816,369,797,711,218,723,
397,611,304,026,337,958,447,897,421,916,361,345,878,219,686,574,071,695,127,
790,775,224,168,643,404,414,427,996,423,309,217,292,865,265,834,444,203,526,
371,739,597,562,504,135,950,742,381,797,093,246,349,958,057,123,824,800,332,
527,753,307,848,679,672,124,745,012,258,939,036,819,369,034,101,675,770,635,
268,515,779,951,330,269,051,252,655,985,762,405,198,468,315,380,657,049,256,
169,843,933,246,198,137,574,882,987,187,023,244,392,212,598,207,212,753,309,
280,760,042,793,506,372,842,020,683,192,628,620,396,038,409,395,094,506,992,
584,465,172,085,700,734,700,037,943,376,211,642,560,012,444,852,689,735,397,
091,225,325,273,225,019,830,765,812,489,958,776,212,586,920,074,869,809,339,
695,327,599,670,904,734,374,868,044,542,867,044,944,655,588,316,928,576,426,
766,422,207,706,258,938,205,764,632,824,299,891,516,224,433,859,911,017,123,
715,845,086,022,521,729,036,142,314,476,709,267,201,450,243,856,218,142,511,
465,658,142,614,454,490,679,522,173,990,990,886,886,019,357,041,493,576,386,
801,977,125,198,139,766,071,698,258,497,224,224,910,205,673,492,492,469,943,
600,411,261,706,378,972,392,090,366,619,511,793,884,720,616,493,541,171,166,
328,218,678,797,560,692,463,652,273,424,553,208,994,323,900,218,975,598,990,
737,104,218,267,964,934,703,990,406,399,417,913,476,385,049,121,654,284,706,
872,112,439,154,062,638,110,917,537,149,648,192,841,799,266,936,141,114,824,
031,139,017,761,087,777,429,149,124,610,347,164,654,761,774,157,144,426,705,
169,583,135,895,837,112,198,995,605,845,767,213,295,794,467,580,081,985,239,
646,676,636,987,889,516,003,988,803,828,363,263,855,914,176,933,192,477,060,
195,001,589,959,643,565,422,759,610,771,157,324,096,530,078,037,477,965,511,
242,139,229,068,991,166,043,469,653,080,676,477,032,112,935,549,477,220,058,
856,659,196,753,142,652,399,527,997,455,888,099,118,857,587,077,649,497,975,
959,670,177,806,966,238,439,828,940,537,866,137,252,111,326,659,662,421,345,
345,472,081,574,108,084,927,839,585,743,968,644,266,676,399,942,309,398,549,
079,353,453,697,690,844,249,350,091,425,956,638,561,610,804,248,458,455,234,
601,345,260,541,935,911,509,589,547,214,635,703,093,434,549,625,029,752,871,
791,330,158,845,836,514,620,010,028,698,687,405,809,627,313,656,558,462,349,
180,348,210,022,038,761,433,050,679,630,100,753,400,969,972,622,321,979,262,
311,421,166,842,044,918,866,412,234,808,928,503,913,162,728,946,642,354,337,
753,014,385,262,282,889,397,207,252,544,800,258,455,140,994,292,322,626,981,
730,293,015,420,229,321,655,805,209,148,748,743,247,327,590,829,784,243,327,
898,091,538,831,893,938,732,330,055,529,528,760,622,190,782,664,882,290,868,
392,074,455,303,546,375,176,722,095,376,697,626,298,274,212,510,191,216,552,
477,546,451,690,587,329,229,529,829,714,352,117,945,579,125,947,265,411,992,
702,499,194,631,156,100,787,484,707,024,502,825,196,531,572,979,581,309,411,
076,213,797,189,940,870,266,315,145,919,801,941,310,372,464,899,471,333,275,
793,508,321,293,051,377,051,464,972,760,448,956,098,368,716,098,612,766,808,
952,835,542,933,005,868,007,123,806,134,470,165,319,415,393,607,538,636,434,
679,653,439,735,071,223,116,270,482,250,154,362,270,553,865,683,126,979,124,
108,462,212,875,646,327,318,908,129,431,751,943,841,789,705,013,116,972,006,
095,492,841,249,347,816,872,643,517,445,244,795,171,535,984,742,605,875,260,
477,268,313,876,423,821,151,382,308,836,632,416,130,805,988,956,781,655,769,
512,374,665,451,787,980,398,967,042,643,881,177,430,585,005,058,144,761,900,
977,383,832,559,744,100,333,318,131,743,389,748,059,064,443,845,760,096,137,
649,630,430,779,319,173,679,533,406,428,374,553,679,604,932,663,694,576,040,
338,521,515,370,236,856,447,205,231,780,282,621,764,953,034,382,214,780,600,
491,482,659,003,070,262,054,750,088,546,524,674,333,035,384,898,425,583,699,
057,756,925,887,941,095,870,889,114,499,124,201,364,240,838,399,210,895,321,
221,360,691,406,455,939,391,281,567,759,533,554,805,561,388,254,280,682,187,
262,473,517,451,060,989,786,636,315,196,750,594,558,875,682,127,655,636,891,
622,333,649,160,259,170,569,109,906,727,569,601,774,293,044,916,065,948,588,
288,872,236,552,645,296,909,534,342,082,072,758,749,268,765,280,086,415,439,
536,356,511,621,131,893,519,040,696,316,364,553,113,427,999,385,109,776,138,
573,125,847,331,526,016,326,043,965,064,965,664,984,384,990,781,384,030,495,
482,456,714,091,771,151,069,874,083,684,278,975,416,625,927,163,643,938,543,
070,791,115,864,053,318,051,554,554,471,176,552,369,057,517,283,912,584,196,
531,523,707,285,069,825,338,437,526,685,348,326,558,428,836,589,140,168,453,
135,673,258,583,532,717,337,324,846,268,704,482,217,264,848,264,774,631,322,
704,272,288,362,810,111,950,237,265,528,637,908,302,042,650,343,192,330,530,
584,928,725,784,492,945,660,309,519,174,405,450,439,445,507,371,217,114,112,
407,444,213,721,728,805,579,311,386,139,077,755,449,648,343,802,234,098,848,
764,745,298,738,457,389,973,200,797,129,097,484,892,991,608,517,764,000,590,
800,965,460,030,057,760,664,298,047,820,981,288,260,306,178,274,803,623,281,
856,340,597,048,084,954,303,647,027,496,986,193,400,411,109,961,570,594,037,
214,276,959,528,786,202,992,506,284,421,099,902,189,922,319,023,763,163,414,
256,568,709,382,301,129,082,160,970,458,103,812,988,561,616,183,086,473,503,
086,298,622,841,866,877,310,328,484,626,463,133,030,979,014,177,901,725,458,
108,565,581,926,806,534,124,855,751,894,628,454,050,855,130,952,760,816,280,
899,287,979,392,314,518,982,533,956,400,019,369,695,838,692,836,184,432,608,
856,908,979,864,992,898,011,433,419,474,105,154,416,278,992,316,653,596,732,
285,727,684,910,349,413,113,411,084,025,259,345,334,376,214,779,549,955,893,
942,927,220,684,894,695,897,482,073,101,033,018,482,946,118,970,209,414,408,
761,887,393,454,123,597,841,449,134,969,464,389,920,819,018,338,114,745,623,
387,384,461,471,075,210,510,113,291,458,646,572,116,920,025,941,136,917,504,
479,943,666,738,050,309,523,924,151,207,629,653,515,384,666,679,762,897,957,
076,222,055,755,738,597,567,940,296,758,713,949,270,120,761,862,098,473,664,
383,914,501,857,281,265,966,045,719,833,183,416,232,818,541,466,863,146,912,
851,919,976,852,491,164,386,440,057,228,712,653,716,340,289,437,831,129,056,
547,207,583,188,451,428,974,837,043,864,727,911,939,861,857,805,690,922,382,
311,128,006,032,702,130,394,301,230,397,197,332,082,498,448,700,317,342,067,
690,130,589,631,977,273,104,001,166,341,155,704,473,213,127,461,203,360,357,
311,169,189,446,929,529,988,144,331,272,924,778,141,752,982,657,199,655,999,
840,519,131,366,311,505,480,592,526,918,389,011,031,055,418,874,540,640,989,
778,607,546,738,015,283,951,076,639,070,001,571,057,709,179,303,046,934,096,
962,522,106,830,849,420,526,301,101,444,387,179,304,033,859,457,317,472,094,
268,771,044,318,018,609,978,732,512,282,909,662,663,062,793,776,550,069,584,
214,371,438,525,797,368,916,116,235,012,308,927,701,058,620,457,406,159,328,
321,351,719,727,887,351,373,130,389,516,099,382,436,984,859,452,461,310,338,
603,426,676,631,208,054,150,243,696,856,162,252,053,559,312,590,091,490,640,
537,490,676,182,594,765,189,354,790,965,706,473,856,302,681,747,984,389,857,
735,621,191,803,657,268,657,128,178,232,089,499,502,949,046,737,013,315,555,
473,532,772,045,817,832,876,147,283,846,913,648,635,124,324,440,155,427,572,
151,217,510,784,579,974,049,161,815,364,061,145,494,299,383,655,148,656,651,
207,673,579,323,397,020,826,172,595,220,378,775,280,438,575,882,088,955,482,
374,761,684,610,951,127,701,558,989,219,054,380,170,052,449,703,687,856,201,
084,821,870,459,527,809,141,583,617,779,114,420,912,865,929,168,601,859,578,
460,443,492,981,603,750,173,790,806,177,452,504,158,843,172,280,636,392,060,
660,188,114,109,644,861,813,774,534,528,484,462,218,411,024,285,037,755,553,
734,593,683,475,301,117,375,461,554,651,289,056,377,925,529,898,469,708,000,
185,749,972,703,164,991,492,987,706,057,151,534,668,620,667,746,907,847,271,
056,177,312,275,826,075,286,979,017,012,691,092,628,615,743,058,019,715,064,
492,644,731,523,062,452,738,034,569,586,132,469,091,231,256,290,431,095,042,
963,832,502,790,041,830,681,107,210,656,197,553,393,296,777,511,022,325,385,
414,361,770,083,177,016,669,180,732,183,163,332,907,426,589,128,592,776,328,
366,416,878,617,789,807,830,705,494,217,684,738,337,243,219,439,177,353,452,
519,917,052,832,540,638,288,992,577,895,543,675,218,616,822,726,958,076,207,
227,032,118,778,980,125,414,054,191,874,746,105,153,132,912,649,633,000,060,
227,355,013,386,948,973,385,525,214,038,113,902,471,703,843,092,466,529,557,
786,764,917,371,736,450,061,888,991,541,009,592,889,629,849,614,060,617,854,
676,220,490,882,639,855,434,196,724,676,448,276,335,498,863,246,830,822,016,
992,421,995,192,217,176,452,403,393,621,869,575,615,049,155,152,983,868,527,
751,294,524,962,286,517,591,292,848,727,529,335,734,637,826,482,218,961,745,
503,204,126,106,931,720,008,494,041,405,713,850,994,325,725,609,640,939,306,
628,929,386,221,537,903,441,774,646,102,420,380,818,005,570,234,695,093,858,
926,032,163,112,949,788,305,419,720,195,657,460,434,250,560,008,989,620,996,
643,687,509,405,647,408,710,139,468,693,172,288,783,683,272,162,600,301,549,
970,482,064,255,225,741,617,103,647,697,152,386,909,888,214,150,529,178,882,
624,657,811,206,758,374,834,566,784,796,592,300,007,876,185,605,983,503,075,
620,713,006,082,444,227,702,255,168,407,395,310,017,208,625,851,339,727,890,
794,638,791,680,980,592,741,471,523,018,718,119,588,691,034,374,547,571,011,
431,453,806,834,187,557,570,350,144,972,281,569,271,695,295,951,961,756,909,
774,417,275,505,209,840,783,821,152,441,571,127,928,150,495,643,903,671,890,
789,044,350,995,045,228,561,258,686,913,003,755,088,431,471,094,719,662,640,
806,966,496,171,760,443,222,371,536,489,688,176,325,366,534,071,133,996,194,
155,478,340,074,152,365,807,290,214,982,323,809,426,116,605,706,600,058,458,
426,923,724,939,004,834,683,418,271,255,698,895,163,665,544,018,002,173,936,
849,146,781,689,005,422,418,661,857,263,692,785,150,005,792,263,674,596,229,
500,132,758,098,058,725,224,284,870,497,838,630,093,257,630,248,614,681,288,
251,179,253,351,080,993,605,434,154,729,608,430,164,721,378,464,742,834,728,
771,399,467,508,631,220,083,093,954,049,600,105,304,988,352,838,409,663,758,
203,534,161,065,925,108,706,505,718,685,515,032,724,029,074,293,562,511,316,
255,121,612,784,692,205,760,926,890,142,888,027,391,911,318,287,880,980,632,
272,579,307,602,280,090,216,503,726,715,763,450,391,577,251,722,445,094,795,
828,979,199,809,754,732,867,422,704,594,900,263,381,675,389,197,605,337,582,
025,761,184,802,464,742,861,712,407,727,605,864,821,300,741,484,513,262,744,
905,430,155,164,803,969,106,344,452,638,549,257,868,545,457,076,379,001,517,
927,140,992,512,956,928,865,262,942,831,167,587,851,857,800,507,452,289,423,
786,753,168,953,417,386,409,465,256,845,156,103,573,764,619,210,279,267,162,
208,947,664,554,921,077,406,493,859,048,891,750,208,695,419,915,821,884,647,
407,367,513,480,065,916,997,005,345,336,081,984,224,192,651,226,340,675,845,
653,373,952,363,991,627,152,025,786,198,646,290,242,885,969,835,049,404,303,
114,986,305,100,075,613,344,434,913,454,252,202,515,500,929,198,618,364,653,
624,765,287,270,701,623,076,233,602,395,590,724,743,648,439,405,475,403,998,
172,708,833,442,423,112,226,777,175,904,682,944,446,706,958,810,513,214,125,
129,919,725,776,556,137,142,809,230,457,389,029,067,375,819,555,966,938,486,
292,576,985,368,568,135,251,464,160,090,685,944,454,038,677,479,515,829,992,
287,144,923,944,302,597,537,834,438,430,296,702,810,863,678,582,105,754,927,
879,429,585,542,882,502,650,394,836,196,443,281,590,719,625,847,540,793,863,
567,936,103,802,365,348,300,893,927,546,110,384,762,184,461,771,398,061,588,
528,873,260,888,509,872,802,610,159,669,708,400,280,706,582,199,916,598,208,
414,309,609,221,112,211,685,114,046,753,284,097,193,179,919,449,234,024,692,
740,781,007,644,909,456,882,302,127,968,221,414,988,231,620,194,539,114,496,
869,557,552,340,146,032,432,835,704,603,810,643,920,460,089,326,329,794,176,
665,766,226,480,152,290,241,713,106,702,609,263,109,546,089,447,500,224,828,
952,875,565,945,251,491,441,453,148,677,966,412,521,692,149,753,799,793,568,
115,905,449,425,326,419,099,928,942,222,286,937,037,891,661,876,566,163,041,
978,431,599,986,320,572,122,460,487,535,121,971,522,920,649,420,390,882,545,
296,704,721,723,247,542,139,945,237,013,712,399,170,278,028,734,327,686,524,
964,585,199,305,347,149,223,997,832,360,014,802,754,475,506,731,538,907,092,
435,394,902,810,488,136,337,289,190,704,919,275,238,868,357,880,066,166,066,
582,698,729,762,892,799,651,508,032,586,010,730,653,608,769,769,851,198,330,
844,903,245,986,568,652,152,330,962,556,776,793,024,427,764,220,139,723,588,
721,384,820,606,101,091,003,959,498,466,287,013,749,403,112,837,356,555,238,
928,854,477,696,100,460,315,490,564,854,383,078,545,219,718,496,350,130,181,
457,725,698,723,293,545,122,852,216,413,074,058,599,333,711,292,003,350,411,
754,595,062,570,132,848,631,251,098,566,325,117,947,713,443,001,716,533,947,
971,342,875,002,182,743,331,107,972,704,872,657,042,224,315,987,804,555,987,
604,847,536,290,486,868,732,145,183,016,913,378,391,210,435,314,867,412,804,
940,887,280,645,296,900,766,975,085,074,331,552,028,324,635,621,177,383,836,
701,878,963,076,968,347,878,938,351,981,200,443,104,079,228,990,707,335,184,
473,385,999,055,929,397,336,063,634,483,576,293,092,584,214,308,882,504,708,
697,583,601,216,829,119,266,278,186,218,089,948,619,895,090,172,053,267,614,
967,889,127,642,175,791,185,362,570,205,141,941,030,281,848,327,048,266,093,
842,808,244,589,129,127,992,928,175,750,977,908,547,093,250,824,156,293,154,
995,249,290,070,329,755,764,556,341,873,358,363,625,323,015,948,359,483,761,
760,989,123,129,913,482,900,466,319,384,042,618,686,790,541,583,841,643,297,
104,085,179,739,079,028,862,553,220,810,085,644,780,987,977,365,473,657,117,
566,097,221,181,343,191,166,600,633,837,743,784,597,144,228,112,146,908,758,
071,879,692,935,274,145,635,584,331,670,785,525,580,626,449,213,643,510,297,
037,851,563,185,441,288,348,305,504,910,166,444,551,356,256,852,044,419,625,
984,775,349,493,442,456,591,348,975,547,331,303,954,655,798,036,099,249,949,
708,990,798,248,542,609,291,184,602,614,329,240,589,928,045,188,108,017,924,
948,760,327,031,842,749,156,333,275,261,302,681,800,171,510,299,775,915,622,
563,683,018,099,034,847,741,049,033,213,660,484,463,186,012,358,094,955,675,
796,771,001,148,150,508,051,472,096,116,646,513,890,334,070,676,676,926,866,
198,068,828,161,928,270,743,176,289,586,672,607,836,012,610,412,206,082,780,
969,646,236,407,626,015,893,522,998,614,202,228,863,955,413,459,308,983,520,
396,986,124,596,945,881,441,160,809,872,380,150,092,073,932,598,586,148,025,
530,352,614,224,861,879,108,716,666,844,819,945,165,116,773,867,943,713,173,
130,675,530,194,810,645,741,184,653,646,619,086,910,045,328,179,253,664,118,
643,836,254,202,578,332,176,998,148,185,317,894,549,047,098,464,401,195,970,
074,298,400,545,764,422,347,921,143,246,971,648,810,226,692,377,155,464,217,
079,373,747,753,433,204,833,653,103,417,475,304,171,487,156,648,416,666,938,
085,909,025,043,341,601,133,991,957,603,973,244,970,532,447,025,947,857,492,
898,568,903,559,368,263,378,108,779,422,523,452,047,402,456,099,995,986,406,
424,456,633,935,655,698,999,346,371,433,027,833,862,932,757,846,922,279,117,
903,538,095,700,229,000,233,180,294,627,480,932,487,577,246,311,602,610,911,
927,113,914,020,945,846,227,250,213,718,402,747,151,595,717,464,414,363,071,
494,630,614,137,626,711,390,545,486,177,604,034,709,672,864,299,852,846,057,
094,271,260,674,385,735,915,428,113,226,487,563,550,428,285,745,467,024,949,
610,228,510,234,004,617,709,223,267,815,514,860,006,381,597,364,820,057,684,
609,649,918,987,782,928,671,375,728,325,366,957,476,659,580,380,837,601,614,
197,004,579,732,972,467,140,982,029,944,809,240,821,222,335,442,792,809,859,
058,759,692,442,520,608,838,469,816,235,854,206,933,189,916,104,672,443,538,
619,226,194,429,396,228,887,186,765,232,777,712,559,741,260,585,966,268,728,
994,365,122,983,336,641,252,942,828,033,814,129,407,686,185,909,366,595,193,
091,579,246,246,846,945,657,408,969,416,934,101,972,624,405,334,306,080,617,
691,030,861,926,876,279,738,475,130,081,234,802,452,349,108,332,760,893,311,
757,903,451,879,601,347,844,434,109,996,361,519,067,638,745,202,607,067,900,
553,664,671,694,552,555,733,673,687,748,300,632,377,150,860,763,613,412,728,
706,187,696,976,580,772,530,074,688,195,095,660,819,772,852,425,583,389,095,
365,725,886,413,463,010,909,533,321,302,902,247,415,287,429,824,596,638,322,
471,859,822,568,925,805,191,601,997,298,512,869,666,597,033,129,398,776,031,
426,642,800,937,875,579,632,817,001,053,818,231,836,917,408,478,468,657,278,
236,622,862,252,216,703,677,555,397,787,492,081,439,076,066,178,164,494,866,
717,839,674,793,539,550,547,244,796,039,072,776,966,731,724,110,294,218,187,
453,248,587,201,653,086,030,138,375,998,895,486,729,108,296,951,338,845,467,
747,039,903,070,713,939,688,121,976,736,291,691,527,210,038,357,559,281,995,
941,390,618,079,848,878,472,345,910,234,819,392,706,558,958,726,106,701,005,
111,589,748,331,515,171,682,569,982,928,060,453,650,086,012,091,477,928,990,
760,665,860,171,675,487,561,033,630,264,829,421,624,612,595,441,889,429,351,
720,106,122,812,192,654,674,384,047,283,322,828,443,590,133,191,304,362,484,
968,860,122,483,370,259,329,078,497,595,004,458,372,883,116,763,792,857,958,
808,017,412,184,468,707,055,498,029,939,201,180,691,500,216,745,820,720,095,
582,864,059,680,201,784,368,151,452,159,850,748,753,311,688,073,330,913,659,
645,128,284,384,028,964,931,554,424,137,621,154,461,301,420,140,106,374,307,
553,434,308,332,198,089,536,288,209,463,510,125,290,189,244,706,968,327,878,
366,111,769,582,381,267,341,596,973,701,184,373,552,724,514,148,472,860,855,
833,001,874,781,627,503,277,641,596,122,352,873,456,063,477,487,595,610,238,
095,905,262,479,833,119,251,931,252,326,096,035,528,956,815,181,727,923,266,
035,537,401,569,568,060,475,261,243,177,695,978,062,899,161,190,953,491,315,
711,246,337,056,203,326,738,049,912,282,645,965,196,581,332,740,134,342,450,
753,697,862,164,646,613,842,977,025,030,481,891,279,705,358,820,412,155,458,
469,865,763,964,389,569,291,022,288,265,776,865,798,934,118,299,207,197,044,
259,425,716,018,867,244,528,302,616,645,126,698,836,884,586,019,140,820,891,
284,501,924,384,459,941,821,623,976,690,298,278,419,807,775,545,168,463,988,
864,503,958,181,018,580,810,067,529,068,488,312,047,521,777,151,328,135,228,
767,965,046,437,676,270,287,705,710,452,384,858,499,008,526,344,282,299,016,
826,237,874,500,595,994,521,214,610,794,346,615,565,537,763,984,583,661,295,
324,945,204,235,674,828,804,986,499,706,904,280,140,580,524,735,653,971,974,
928,011,775,065,462,385,693,299,878,387,948,630,014,805,493,610,335,501,327,
721,302,793,265,372,593,762,916,213,894,698,049,866,260,286,807,674,989,243,
168,756,375,085,665,078,293,831,826,564,592,703,463,078,768,943,128,068,651,
333,925,236,401,197,108,651,243,179,343,098,917,538,482,602,896,723,088,291,
936,249,620,750,576,658,624,054,238,064,118,282,887,306,805,645,759,113,655,
347,835,009,001,637,645,475,533,202,349,937,521,096,633,036,221,016,982,792,
621,071,370,817,323,256,266,907,110,936,498,529,701,583,297,049,646,659,914,
188,796,258,084,159,532,686,385,223,399,731,371,402,225,652,821,713,229,324,
885,909,118,102,392,710,481,239,716,508,433,814,684,448,415,947,840,344,719,
656,565,451,266,284,455,845,847,968,834,918,486,677,754,981,664,774,749,880,
082,710,147,931,892,378,545,123,254,077,206,649,868,273,098,769,801,935,278,
768,529,853,918,483,687,336,578,947,343,182,772,275,403,139,286,518,927,638,
524,973,422,080,949,276,967,429,437,345,946,450,943,344,404,932,247,236,538,
414,562,201,271,599,739,442,333,973,098,970,342,052,617,544,073,220,500,466,
695,471,035,779,728,061,767,798,058,474,292,141,350,413,948,407,850,756,608,
103,700,795,647,767,644,791,162,072,406,812,095,768,851,703,663,714,939,314,
922,534,685,218,524,121,406,162,639,319,730,316,364,922,345,315,989,903,493,
015,633,353,463,019,679,425,017,439,489,915,330,881,844,955,384,060,367,253,
673,529,265,558,030,381,898,858,763,694,824,313,543,783,254,383,536,201,567,
092,020,208,551,127,245,052,556,563,324,869,474,418,167,993,100,854,659,072,
478,166,779,098,401,317,120,605,444,096,752,553,359,555,176,076,262,762,349,
369,022,951,411,101,938,241,534,181,421,540,326,947,007,779,872,500,452,607,
329,731,431,308,807,106,924,471,325,750,762,785,198,620,958,646,852,049,656,
728,778,464,323,502,527,569,511,469,753,569,263,905,048,843,215,817,321,088,
890,105,115,078,304,686,618,288,863,386,381,133,956,059,446,100,941,205,505,
874,210,686,231,126,207,637,373,483,547,818,119,770,731,486,402,827,034,475,
668,318,219,300,452,367,622,078,821,182,088,272,615,255,479,511,481,159,339,
045,732,344,859,968,602,579,780,153,708,447,940,718,509,592,910,391,673,258,
968,520,604,804,772,772,521,223,302,019,586,260,824,990,248,478,314,738,123,
028,648,494,384,157,054,335,544,610,051,320,151,002,899,187,415,304,265,397,
221,279,173,075,171,586,942,447,037,729,586,670,831,837,386,300,361,422,348,
598,911,990,856,143,768,797,427,975,519,498,275,680,402,095,168,212,429,849,
753,768,369,651,963,206,179,049,023,955,980,388,167,880,741,555,135,822,569,
214,293,852,060,652,216,790,043,310,619,373,704,920,168,414,008,026,421,311,
751,119,292,984,353,177,450,896,845,921,939,747,868,459,954,277,900,311,300,
659,931,736,831,358,099,270,753,730,533,604,978,234,281,937,452,263,627,606,
570,005,972,590,094,710,253,849,864,814,437,867,392,591,049,692,677,313,499,
859,641,374,905,055,203,595,318,760,479,482,675,161,052,598,728,767,074,455,
745,613,341,574,985,566,048,343,443,493,953,155,733,582,676,239,232,430,378,
711,107,875,801,379,618,927,666,069,698,055,327,583,919,196,105,553,664,815,
081,990,030,312,204,544,068,966,274,526,349,837,838,438,267,669,623,224,106,
280,054,003,702,440,659,771,738,337,716,683,122,862,598,418,451,979,362,284,
281,199,496,429,737,339,666,448,901,760,570,269,880,681,810,226,968,284,759,
527,877,797,716,505,449,942,484,164,799,028,298,585,670,082,627,277,230,913,
649,468,735,679,382,580,456,417,381,828,544,831,029,779,464,206,143,022,731,
182,169,283,922,369,429,807,553,444,664,534,646,344,050,182,178,375,304,540,
971,045,702,223,265,071,899,244,980,277,981,880,486,547,198,573,514,557,109,
551,933,522,504,255,794,325,225,160,287,955,464,142,078,490,364,261,582,038,
668,213,613,482,236,374,435,267,073,455,200,049,073,916,460,708,216,368,686,
226,597,873,851,768,853,138,912,938,897,357,223,851,595,385,309,948,639,158,
028,347,274,428,482,037,328,500,329,946,081,916,954,697,862,432,625,356,544,
766,621,276,013,127,593,568,586,780,482,147,839,235,784,196,752,675,945,979,
455,215,607,752,693,632,302,230,407,233,002,926,722,627,341,405,596,017,047,
117,375,171,677,706,686,992,171,929,631,018,982,769,165,733,861,234,766,351,
208,940,357,174,648,775,584,193,033,838,689,344,714,991,348,170,936,715,353,
535,755,711,719,692,333,130,144,289,877,730,438,375,329,918,295,264,006,182,
524,988,588,972,587,691,125,249,501,965,208,452,468,171,512,058,278,402,783,
667,717,142,703,117,605,021,395,558,763,961,957,423,616,353,873,084,760,496,
220,519,515,594,050,567,212,329,740,314,368,302,435,297,719,893,054,159,855,
746,210,709,538,787,755,424,992,902,295,362,137,531,607,102,316,301,003,091,
171,859,957,084,541,407,530,022,203,333,774,901,319,844,406,903,003,027,218,
301,297,413,430,107,402,843,808,535,904,067,513,296,921,746,284,019,312,876,
195,857,044,743,427,222,360,764,878,060,756,003,522,816,118,412,243,598,483,
049,557,208,274,835,432,581,823,606,970,482,904,630,169,323,625,201,431,011,
456,153,178,511,704,420,093,789,911,431,363,069,616,959,942,373,746,615,635,
063,741,360,250,832,031,474,417,045,124,057,056,535,008,530,441,517,218,445,
553,470,179,378,548,838,176,229,478,921,069,064,802,254,456,874,159,826,953,
088,702,870,648,669,472,003,892,103,630,875,312,996,156,832,636,045,339,445,
933,363,572,631,622,106,930,532,061,743,614,557,469,789,117,082,462,059,594,
485,049,628,403,092,072,032,105,564,536,682,513,546,913,201,036,882,973,390,
455,832,153,809,600,227,408,080,821,008,213,740,943,385,597,659,026,690,827,
222,839,684,333,491,242,846,295,447,302,486,261,041,838,579,482,401,165,992,
032,999,620,003,506,270,517,657,715,953,792,260,481,654,478,815,035,204,489,
699,477,387,596,597,638,594,039,960,450,313,739,307,159,315,904,213,353,899,
344,777,543,762,818,096,033,313,098,406,619,935,570,831,477,100,511,440,968,
375,329,022,158,304,481,113,373,911,906,049,659,425,620,083,813,290,996,951,
393,239,403,426,139,002,222,638,812,609,907,056,772,315,241,704,063,177,857,
371,627,192,169,881,805,331,901,857,782,770,796,951,050,935,230,332,019,686,
113,840,261,267,581,217,001,833,284,375,524,727,602,041,495,459,865,092,537,
572,977,162,214,138,518,625,491,630,284,281,669,543,672,667,540,704,944,182,
114,682,350,691,033,619,705,975,194,527,750,647,252,782,435,753,872,367,610,
932,458,589,881,584,910,375,854,555,050,280,594,587,231,811,371,099,237,002,
896,330,309,034,823,615,546,851,206,023,707,271,939,609,368,606,508,866,314,
247,409,990,363,143,028,767,105,232,500,469,191,862,477,655,796,942,810,511,
649,179,934,554,101,941,259,675,538,296,394,052,049,371,251,793,536,129,480,
825,353,291,357,316,002,757,462,637,654,310,412,819,567,114,724,161,611,656,
332,359,043,964,963,124,582,502,977,454,534,701,796,439,261,915,818,971,074,
620,798,075,151,356,679,173,410,248,813,105,984,166,520,676,101,847,015,362,
007,994,519,176,603,379,062,138,604,298,052,351,409,168,232,730,098,987,768,
180,342,280,600,808,007,518,841,793,249,467,513,394,540,075,672,344,810,284,
986,903,283,173,943,344,998,312,411,112,188,043,855,708,105,646,094,683,905,
770,751,990,531,462,486,745,811,513,288,532,156,767,777,961,659,709,190,768,
592,193,989,406,059,105,298,603,628,729,963,410,215,778,549,110,143,009,892,
756,238,361,625,731,089,360,617,040,038,238,670,668,061,662,056,393,500,911,
190,189,152,294,015,037,981,909,025,135,820,658,917,165,507,549,126,365,478,
311,754,129,421,337,791,462,429,501,696,230,220,639,148,546,234,026,765,922,
233,424,601,452,906,217,713,345,223,585,154,214,156,079,941,965,412,385,758,
946,532,210,955,934,713,315,890,069,571,282,439,772,409,425,894,582,360,355,
228,988,316,889,816,439,013,480,916,428,170,793,306,948,736,710,935,016,726,
767,204,046,310,620,045,057,666,749,174,705,662,968,552,319,231,360,097,416,
564,059,974,231,844,392,105,331,997,661,126,962,527,467,094,605,563,898,238,
602,902,696,657,763,259,061,679,650,587,354,876,666,005,557,639,331,031,959,
673,284,121,634,714,207,738,744,269,574,140,514,689,320,428,668,147,248,828,
173,334,505,323,455,598,094,565,075,278,539,774,948,265,587,571,169,580,571,
739,095,388,693,281,438,520,337,227,346,661,741,623,946,119,433,997,578,181,
109,612,943,554,969,047,604,581,777,293,102,970,082,948,864,931,549,640,455,
272,375,494,593,745,539,612,853,447,514,471,181,072,075,854,171,425,075,302,
774,679,795,808,098,440,170,535,801,111,204,731,645,319,431,062,152,080,377,
704,218,774,675,479,505,025,201,390,568,717,159,130,272,422,515,452,840,507,
736,556,849,448,337,291,462,743,142,535,891,453,690,188,750,699,933,691,445,
294,504,703,113,809,879,155,029,599,752,881,980,047,520,721,951,890,414,686,
366,143,620,642,192,897,734,965,188,897,723,746,851,259,697,826,740,521,698,
655,688,868,595,283,851,793,918,348,487,149,770,453,246,400,455,623,663,642,
636,704,876,720,960,888,274,467,897,508,356,187,331,692,192,355,848,736,179,
191,877,021,486,417,362,221,435,480,604,379,073,610,587,667,377,795,762,837,
815,004,406,065,581,350,552,852,593,531,254,537,430,546,382,541,869,289,958,
251,196,415,446,400,930,112,144,712,094,771,562,885,582,369,403,274,100,044,
872,613,297,088,898,339,522,161,848,527,282,774,654,179,330,903,253,619,358,
651,148,452,940,591,483,831,717,264,252,294,478,149,388,833,474,747,089,249,
416,999,996,928,921,372,139,621,184,987,112,324,165,391,441,491,731,646,262,
138,498,815,509,725,783,118,242,378,595,363,662,244,816,926,984,059,112,468,
584,239,281,606,596,400,114,176,736,565,992,125,622,953,307,650,840,553,314,
980,225,433,203,445,235,639,216,708,572,851,170,887,964,110,449,316,463,498,
353,354,290,729,975,328,465,818,757,249,583,341,929,184,487,923,680,714,220,
813,891,664,444,326,254,710,523,010,210,882,023,913,307,010,513,930,916,297,
923,824,476,547,979,031,904,526,175,865,372,468,516,716,777,508,269,302,490,
018,063,395,628,989,311,275,543,290,501,485,933,412,452,449,719,728,328,377,
027,724,983,204,767,877,351,533,947,640,282,718,764,236,240,392,029,321,032,
222,419,012,521,305,661,170,794,186,447,263,800,231,170,802,216,585,150,941,
992,686,986,315,647,914,613,776,960,830,539,512,424,890,020,705,108,972,675,
289,906,701,308,563,853,813,076,007,405,192,143,267,426,806,746,387,320,087,
632,827,339,422,044,102,201,468,862,277,012,424,963,280,828,358,789,395,976,
311,391,839,319,839,927,426,081,270,404,008,370,485,299,825,016,145,194,351,
932,264,157,197,107,606,463,250,676,986,580,704,016,129,802,221,601,043,373,
304,022,530,207,727,673,984,014,079,362,646,549,795,450,441,067,550,343,937,
675,814,248,814,586,861,232,202,637,616,617,607,302,206,659,584,798,641,834,
601,812,062,799,010,652,259,171,943,832,955,366,658,874,230,970,501,015,980,
683,253,481,404,598,883,179,673,585,738,911,154,893,861,692,988,439,494,045,
908,661,272,113,725,922,837,955,179,897,969,151,966,990,924,851,281,527,244,
650,155,083,930,073,695,298,510,897,557,853,542,059,982,063,281,112,021,572,
026,141,531,614,705,333,269,255,232,017,890,599,152,919,032,950,888,659,572,
427,925,218,649,233,513,753,903,662,701,249,684,594,207,867,026,879,852,987,
408,796,464,466,833,791,395,736,088,302,174,941,890,468,361,976,777,402,150,
055,038,321,989,653,675,749,086,931,443,648,178,578,255,056,432,677,810,938,
383,364,475,743,064,772,580,485,986,755,676,034,624,078,144,498,362,410,628,
640,261,585,633,664,267,587,630,634,787,396,116,244,552,351,113,216,619,291,
578,249,406,848,191,755,077,710,251,599,719,264,825,496,510,045,371,926,093,
660,779,714,865,983,576,129,029,468,176,099,105,496,422,998,518,174,263,621,
137,119,555,250,744,003,198,057,903,974,628,627,301,460,197,763,788,766,375,
235,541,355,885,956,530,854,849,269,025,062,417,140,052,945,293,157,406,978,
013,745,352,429,324,574,328,239,078,467,113,793,255,147,625,469,259,070,519,
824,357,548,046,554,284,481,113,557,921,613,959,619,089,716,907,037,146,336,
651,328,949,156,121,392,767,520,193,487,377,926,508,014,001,972,947,788,039,
775,873,571,858,770,555,898,665,845,810,085,399,973,584,430,656,250,252,573,
661,184,873,689,266,252,051,582,648,171,355,225,374,618,564,178,115,752,557,
625,902,362,823,873,705,643,405,432,540,895,651,974,411,181,229,431,512,512,
352,178,643,376,250,986,682,713,633,501,635,905,035,643,073,755,558,974,633,
832,828,075,689,776,114,045,263,343,523,638,379,065,022,864,511,421,545,006,
247,226,771,931,093,123,330,069,941,791,817,182,033,417,284,903,602,178,296,
460,252,703,087,344,873,001,705,934,714,882,765,917,066,422,516,204,317,109,
878,680,228,054,128,237,751,717,906,589,290,512,511,340,428,064,735,191,903,
459,084,376,146,603,140,957,705,681,575,335,327,878,251,509,854,030,222,470,
979,385,718,563,758,608,538,064,970,196,792,551,016,626,868,117,418,564,888,
573,282,210,074,136,907,603,619,562,793,801,010,733,325,660,260,861,191,060,
586,546,535,266,912,557,152,112,842,287,811,374,337,684,632,833,432,841,634,
727,846,194,521,068,840,044,473,685,298,385,903,788,277,505,050,469,182,953,
852,444,311,097,950,066,249,371,424,210,137,767,327,848,818,957,883,405,450,
120,544,769,628,456,596,269,976,835,524,439,541,782,512,255,096,811,442,233,
281,653,152,639,311,918,297,495,422,794,967,182,813,394,859,718,084,144,530,
530,135,392,767,374,169,194,379,453,369,650,300,534,135,802,406,214,356,227,
655,695,605,975,330,629,780,838,679,741,770,024,616,267,756,081,111,622,432,
179,462,449,807,259,441,548,018,738,190,341,650,955,789,681,695,437,008,166,
879,631,243,148,807,366,446,133,919,645,999,204,811,463,653,074,581,414,555,
904,440,449,097,179,183,280,296,848,500,811,921,074,325,710,132,390,641,633,
222,006,515,288,738,131,639,333,962,822,235,180,378,389,818,115,931,462,225,
750,357,253,254,029,412,381,046,177,111,529,814,256,101,225,301,644,034,509,
837,441,586,368,046,573,435,646,268,360,652,942,153,049,190,433,115,322,859,
090,875,589,246,421,073,622,500,942,445,744,061,038,664,099,656,056,996,895,
130,871,924,071,685,027,607,515,847,631,228,378,397,301,098,289,276,394,393,
866,366,389,110,490,776,187,699,024,989,408,611,095,553,327,142,262,835,505,
316,377,616,360,385,301,693,382,821,706,472,438,317,790,886,482,046,150,777,
974,351,375,656,671,482,029,334,733,802,387,819,353,399,803,072,857,256,869,
082,251,122,738,987,602,769,186,068,098,278,272,143,820,313,753,996,359,770,
400,239,888,027,909,310,960,677,670,551,825,148,390,776,983,633,081,091,589,
793,184,977,141,798,839,554,413,025,101,878,534,597,952,765,530,992,841,579,
836,192,664,811,784,226,456,615,221,897,172,164,499,547,499,973,554,876,004,
256,082,254,674,454,618,604,839,564,130,223,813,238,005,793,721,701,154,650,
624,947,214,010,276,578,527,685,337,050,617,536,366,143,812,492,459,969,594,
743,275,852,432,357,805,466,919,376,311,416,212,157,497,220,357,400,125,852,
200,979,065,478,169,322,380,468,435,634,735,038,827,788,756,285,354,573,848,
500,700,140,825,449,099,626,777,466,889,254,362,152,408,774,626,217,790,773,
087,441,499,557,388,669,750,131,610,604,235,317,356,695,551,512,502,970,757,
112,005,067,566,886,905,822,838,183,254,028,262,157,074,723,665,880,022,272,
832,553,494,772,648,576,886,326,739,805,769,462,940,988,789,179,640,059,173,
896,074,468,030,151,591,054,422,151,771,287,740,226,590,429,936,711,267,503,
102,143,823,084,889,046,223,999,458,754,446,083,696,889,665,177,246,436,941,
806,894,971,735,224,733,646,098,708,416,047,176,730,601,983,994,920,797,706,
129,940,033,612,805,200,628,541,913,408,616,543,990,107,265,002,211,648,737,
957,081,750,787,592,607,644,445,695,743,475,026,291,408,786,620,055,486,232,
566,751,130,062,096,249,930,494,854,361,082,324,266,753,358,400,910,236,701,
651,478,392,560,180,123,252,017,489,717,164,779,236,339,204,063,126,218,219,
953,130,079,158,015,260,760,351,731,345,224,174,908,396,200,324,370,860,889,
995,764,700,985,717,115,006,515,666,499,209,612,497,809,242,583,928,288,764,
712,323,199,211,310,399,966,070,105,247,068,606,912,371,324,409,555,166,637,
071,579,715,080,770,226,761,983,573,950,784,049,877,964,207,979,726,485,017,
103,927,785,826,051,825,359,330,838,283,185,669,977,802,772,616,476,693,353,
953,802,292,128,997,230,803,291,771,376,750,313,211,556,324,682,764,342,063,
610,537,454,932,772,502,276,019,065,228,540,312,493,623,252,641,038,741,717,
027,728,984,203,181,677,465,088,576,090,678,398,283,116,831,681,025,750,668,
716,646,067,375,058,214,468,443,330,431,783,900,999,796,271,625,735,203,815,
203,182,327,386,788,207,713,720,083,323,495,569,002,059,249,433,651,181,832,
556,865,921,453,396,886,840,917,594,696,547,180,583,769,398,906,224,707,764,
255,917,824,013,893,879,159,299,681,521,901,588,356,704,872,162,849,099,418,
616,422,656,418,275,298,691,840,868,753,130,634,428,344,996,126,467,396,330,
635,154,950,947,818,363,950,476,990,240,781,290,068,250,821,798,950,369,729,
963,017,006,486,929,301,049,257,287,365,271,536,761,230,825,739,738,920,164,
553,680,622,095,766,067,781,935,917,446,430,746,939,353,953,268,018,389,758,
732,320,868,087,141,211,250,140,411,561,506,101,014,809,610,245,732,049,742,
205,277,198,510,790,039,400,904,394,138,381,211,505,558,979,125,507,102,060,
530,253,269,211,938,793,154,573,839,577,165,455,659,312,363,468,364,485,941,
688,575,056,043,830,004,223,708,578,066,018,811,723,643,534,942,125,516,149,
177,946,854,785,423,483,435,703,886,725,463,078,450,736,993,671,376,393,844,
302,591,884,740,721,404,903,984,061,980,280,172,661,755,460,620,950,213,508,
613,038,416,289,885,569,382,391,673,300,069,902,838,566,320,104,680,847,422,
980,124,213,496,128,064,704,221,559,799,208,169,252,634,930,753,360,364,131,
409,615,842,717,990,621,779,179,166,997,944,273,224,837,745,652,772,025,716,
410,434,878,641,412,195,817,021,647,563,692,339,011,766,660,275,298,736,581,
910,513,795,364,884,851,951,910,271,171,383,677,897,982,190,388,388,513,659,
249,081,972,712,681,389,269,338,147,899,806,419,197,412,605,050,747,072,218,
455,655,020,751,366,359,183,904,526,870,419,467,358,867,542,853,467,535,290,
336,504,048,157,378,013,953,401,698,317,527,958,978,138,836,442,607,005,836,
844,432,750,617,702,268,022,640,855,081,132,684,250,997,676,028,491,414,286,
006,478,792,846,929,184,090,949,088,388,676,754,551,097,980,963,719,282,053,
814,165,180,306,667,874,703,835,921,603,790,944,988,195,042,082,128,681,805,
083,200,421,658,824,283,132,486,818,436,792,458,162,442,649,096,252,316,733,
921,316,526,461,136,331,279,986,657,790,296,839,218,357,999,041,367,613,517,
543,991,483,888,973,348,730,038,028,037,605,498,189,949,026,634,047,029,698,
924,302,183,094,313,698,226,835,688,778,109,822,428,036,212,567,247,583,523,
696,713,733,082,677,481,093,409,160,800,715,762,579,658,078,674,640,624,225,
444,655,717,514,567,817,348,778,225,885,633,505,261,695,965,195,031,193,161,
290,128,086,404,016,642,568,444,346,536,031,852,055,677,785,265,583,865,381,
729,479,131,808,210,410,449,921,131,557,869,104,064,770,455,499,999,831,522,
387,431,053,325,595,282,023,875,112,222,721,563,962,621,278,264,890,758,469,
640,624,986,357,877,077,970,484,935,712,124,398,222,768,552,484,710,394,695,
353,131,884,461,162,809,322,145,750,895,663,850,928,344,228,027,675,241,337,
505,106,218,687,628,694,032,503,656,051,234,746,884,227,011,950,965,926,876,
964,323,701,520,206,411,005,568,814,539,509,677,984,180,383,063,026,401,454,
388,891,222,844,320,229,524,459,743,533,808,401,448,900,841,358,370,206,946,
295,296,028,216,879,562,785,770,402,008,212,910,794,628,273,117,049,414,939,
791,844,555,094,371,442,029,790,682,834,637,367,886,813,671,792,353,677,039,
707,922,837,346,910,570,961,085,779,285,820,230,243,592,655,831,322,165,513,
394,385,531,884,383,863,298,614,476,415,728,002,914,827,622,168,039,762,791,
857,069,366,669,703,116,259,325,209,931,932,325,507,201,484,305,156,610,224,
811,306,580,785,458,801,183,703,137,229,807,023,012,109,708,447,619,773,685,
051,931,173,352,195,197,649,444,951,706,744,050,788,110,834,297,770,073,826,
155,766,767,678,065,327,835,424,546,949,014,095,515,093,409,647,133,065,873,
683,292,776,789,654,619,094,567,101,048,830,710,116,841,067,176,589,041,435,
435,681,203,356,602,782,769,022,373,209,644,133,031,588,277,357,941,360,495,
440,853,410,532,189,331,827,306,393,123,357,237,248,323,969,742,017,446,173,
897,726,585,592,333,437,394,978,298,482,083,741,951,247,900,331,795,623,321,
046,700,375,022,006,606,348,908,655,512,904,782,501,655,602,150,456,236,430,
309,887,773,374,525,678,660,416,678,391,302,734,030,810,525,576,484,344,159,
431,789,872,917,207,307,051,197,443,680,844,176,509,716,118,254,988,899,103,
606,985,255,402,152,763,815,994,398,634,018,584,966,354,443,942,193,134,761,
418,122,003,608,073,555,587,623,645,747,400,982,029,118,601,089,918,699,812,
757,498,599,879,373,149,251,038,743,822,763,243,912,334,974,467,783,866,008,
488,603,648,409,298,479,990,449,491,770,071,783,333,653,119,698,558,056,137,
457,860,933,451,885,274,820,804,569,157,639,239,227,352,990,723,389,953,266,
897,599,240,710,773,868,496,710,439,420,901,275,445,061,628,193,641,239,537,
735,633,617,927,569,546,739,826,711,737,280,039,540,949,692,705,578,935,388,
662,433,195,643,546,733,145,051,505,035,011,524,282,758,617,844,734,738,177,
618,747,974,827,247,358,171,651,464,383,794,030,416,717,262,320,054,022,341,
148,456,426,536,736,020,244,284,189,775,256,204,599,524,226,756,602,104,599,
573,075,201,787,023,453,011,198,404,246,806,670,824,181,214,222,094,989,683,
494,248,990,937,154,607,971,541,214,103,221,794,747,913,993,224,466,310,408,
852,469,659,406,773,870,435,490,811,906,413,206,741,362,291,418,499,345,432,
699,901,578,812,304,052,543,793,531,389,027,488,234,652,330,490,172,775,553,
196,671,807,555,167,946,584,368,377,489,923,696,555,255,147,858,333,027,649,
287,323,198,806,360,015,091,444,206,044,458,954,996,220,360,805,824,768,457,
579,902,817,256,261,502,377,970,917,874,017,112,398,334,938,219,218,043,770,
392,098,728,390,113,018,413,130,068,507,624,925,482,275,570,614,712,978,448,
419,300,353,396,018,337,270,484,476,114,669,129,450,409,352,161,751,859,558,
636,998,704,238,367,558,536,035,113,379,985,233,098,311,614,254,900,719,564,
710,796,913,404,209,895,255,517,109,627,170,872,349,102,390,152,150,159,759,
253,232,419,470,274,335,764,486,618,858,661,488,599,412,084,253,043,001,291,
157,167,853,218,533,798,074,643,117,887,668,267,969,216,382,634,117,217,500,
155,729,381,321,408,666,170,007,454,199,908,916,852,470,927,043,614,870,310,
572,337,994,217,654,500,825,911,625,840,848,481,749,907,499,489,734,468,674,
248,306,997,912,903,800,470,807,033,422,644,295,588,160,376,207,198,757,151,
909,236,869,379,822,743,165,478,186,398,841,437,952,078,874,540,528,917,792,
261,514,319,155,704,965,518,683,742,634,543,165,549,419,896,829,701,778,804,
055,736,182,094,575,599,814,422,629,112,660,585,355,374,839,653,697,154,493,
397,504,110,598,379,263,633,652,243,591,615,125,419,039,995,530,606,173,168,
958,468,336,282,373,900,286,487,029,879,083,458,953,845,298,535,366,206,186,
271,853,084,897,423,837,531,528,516,337,835,633,176,243,723,240,881,153,432,
224,763,788,377,567,002,189,587,513,454,824,430,126,769,993,562,504,877,006,
539,862,264,186,034,880,089,165,277,001,419,456,043,173,033,358,772,808,004,
210,115,141,903,931,276,348,834,282,512,040,013,296,664,615,797,642,293,249,
402,806,786,425,024,057,056,226,746,324,272,874,377,687,364,596,330,379,459,
574,415,542,411,080,657,009,010,290,871,159,833,611,990,931,124,378,780,493,
645,320,522,429,406,577,246,770,683,955,614,303,289,060,964,062,998,819,433,
377,218,427,245,433,056,880,438,621,862,769,079,333,661,531,139,317,221,355,
173,465,476,956,150,400,593,712,175,281,260,839,290,482,727,070,390,852,480,
765,767,217,728,741,300,926,640,477,507,491,624,144,820,015,937,131,687,497,
793,756,081,542,840,768,988,373,540,781,330,544,419,828,638,429,037,852,953,
429,128,692,291,092,053,585,972,936,594,414,276,072,275,098,304,660,279,666,
507,503,762,025,439,376,998,576,007,023,375,059,203,530,798,178,662,985,391,
828,905,168,175,128,048,084,144,531,401,437,316,831,336,905,279,297,214,510,
878,580,020,353,081,725,842,342,178,037,934,662,032,196,014,243,936,877,555,
464,916,307,366,669,098,289,486,829,423,606,793,116,138,712,727,701,551,033,
390,997,880,504,432,891,220,468,764,479,230,200,556,446,056,899,757,684,402,
463,457,979,601,905,366,398,666,278,710,814,492,038,507,528,241,906,010,889,
029,485,063,064,899,605,748,605,012,704,166,882,427,299,007,429,463,942,997,
133,358,399,599,901,598,409,408,233,308,506,833,639,783,970,707,470,508,027,
554,295,644,027,447,162,972,707,306,509,483,771,156,127,366,005,039,045,116,
237,315,708,166,685,752,522,596,760,245,123,462,741,264,941,353,900,506,847,
692,607,239,938,070,733,753,231,886,290,105,482,000,779,301,854,203,078,684,
161,134,047,891,192,438,568,061,248,832,384,711,838,050,484,164,183,975,639,
754,899,300,945,631,857,291,359,476,956,492,375,013,514,261,934,951,842,616,
516,323,658,978,768,833,314,788,560,442,555,242,080,764,281,942,697,556,296,
966,602,417,792,053,078,933,730,723,569,472,479,178,180,522,472,370,474,089,
691,679,637,604,034,122,173,662,634,962,916,513,937,125,570,506,745,774,870,
281,147,814,280,073,680,797,603,645,071,710,978,852,452,363,741,694,554,984,
627,746,622,312,345,241,300,374,745,235,817,754,615,848,178,607,996,791,034,
740,606,935,646,962,704,719,750,871,683,713,442,739,875,522,276,143,691,329,
820,907,284,126,471,768,886,806,717,870,370,002,478,682,084,024,227,831,586,
831,057,976,353,581,859,223,825,070,649,320,118,757,158,648,629,317,980,688,
932,695,321,539,657,274,898,348,121,855,364,547,563,016,605,859,220,604,359,
826,933,570,047,656,696,245,730,778,776,868,647,425,772,203,239,459,043,000,
398,901,560,315,595,067,052,555,239,609,082,330,609,309,210,243,160,357,536,
416,955,749,694,475,844,569,419,202,382,150,001,665,781,006,525,533,305,395,
835,756,821,122,950,940,492,529,452,002,013,241,732,779,288,493,847,302,305,
330,298,011,496,664,594,428,786,609,584,991,157,202,086,263,505,374,204,755,
873,533,009,523,410,247,582,364,468,870,411,581,176,954,372,117,057,819,621,
897,780,668,644,350,793,084,582,488,155,050,554,042,817,884,065,891,893,529,
541,826,086,137,590,668,478,121,638,729,148,486,443,658,385,541,786,104,212,
986,320,011,094,706,870,714,991,629,649,672,043,093,853,058,250,072,078,017,
029,583,424,720,158,775,566,876,394,138,069,794,143,778,420,598,535,179,069,
644,139,334,461,610,830,718,232,000,354,539,847,820,989,396,427,760,260,793,
246,519,586,635,928,087,941,856,110,840,265,060,058,336,898,579,637,403,201,
629,140,829,496,119,317,802,980,965,196,951,812,595,285,227,741,753,146,918,
721,819,191,624,283,786,674,079,704,822,588,535,439,958,569,241,424,685,300,
785,373,626,797,348,703,429,769,611,425,093,796,899,133,712,801,655,685,466,
748,380,063,435,339,570,672,748,836,090,845,200,892,470,904,783,023,425,885,
486,175,075,968,542,609,255,432,708,549,239,912,546,314,249,520,206,668,697,
490,227,419,830,778,557,856,977,883,166,822,527,402,127,198,253,882,127,093,
767,376,995,224,435,317,258,173,029,462,320,737,332,441,111,609,900,182,131,
895,349,370,010,989,683,875,561,650,509,390,338,248,513,410,312,948,464,221,
200,725,855,687,860,899,895,043,226,615,870,736,756,955,916,768,745,435,645,
156,549,570,026,263,319,386,390,017,949,178,461,991,727,040,454,297,593,428,
471,551,537,186,844,818,447,144,991,396,343,228,026,651,638,579,731,687,310,
993,240,198,603,434,745,076,619,640,432,891,070,823,870,821,319,485,357,319,
503,250,159,288,737,378,567,159,540,218,311,500,510,627,958,164,412,158,086,
117,362,591,227,362,151,851,555,747,514,291,138,179,430,504,167,007,528,475,
056,853,334,914,425,808,840,697,379,349,929,206,961,770,456,300,902,527,538,
585,418,354,168,781,436,673,579,858,657,832,235,307,431,295,229,143,039,607,
936,728,549,510,341,631,689,983,725,349,019,900,529,486,364,461,865,298,505,
252,331,074,812,955,576,118,930,722,285,355,714,440,449,942,824,050,978,880,
817,684,385,538,174,851,128,777,421,052,255,595,710,484,125,913,421,194,380,
243,451,403,780,100,316,551,283,683,848,100,860,133,168,359,536,355,260,573,
142,395,255,975,699,290,411,350,710,061,351,211,005,461,721,573,299,637,205,
505,091,743,385,106,091,221,468,809,085,529,121,570,802,679,955,258,391,088,
299,525,419,335,771,790,030,990,632,126,476,393,841,552,031,097,027,977,067,
920,778,401,818,805,775,526,250,922,674,469,351,293,300,620,531,951,101,113,
433,221,070,466,297,843,157,839,331,514,822,610,648,121,139,391,483,915,669,
263,635,319,456,260,487,828,927,059,679,553,095,587,946,197,591,434,002,299,
236,529,181,783,351,956,341,082,562,036,654,378,258,616,323,956,774,213,773,
787,592,230,820,060,083,317,927,384,326,076,272,108,985,392,360,998,125,574,
370,342,122,184,026,864,287,882,651,038,970,086,265,267,341,526,305,175,055,
861,451,390,186,937,331,263,029,719,102,303,070,099,673,079,422,418,262,825,
906,189,286,177,037,003,407,000,010,963,362,447,298,813,807,171,854,064,158,
533,015,285,372,349,583,365,072,104,534,589,223,896,368,181,947,628,867,902,
037,480,586,753,965,185,785,375,833,179,397,886,601,831,033,437,033,498,548,
485,700,103,446,641,568,539,128,954,140,602,192,319,183,392,248,884,496,344,
117,350,367,183,865,332,819,825,764,000,805,458,891,578,456,814,234,436,758,
279,019,749,430,033,687,179,289,494,891,702,684,786,730,207,590,214,473,105,
426,924,608,570,782,696,633,218,468,261,181,322,725,154,770,028,356,142,056,
914,175,846,205,128,045,554,820,246,183,711,252,304,352,431,948,515,484,437,
269,252,396,426,343,969,551,727,252,078,548,822,603,454,457,917,125,371,634,
888,282,510,377,814,856,195,869,492,820,980,848,786,336,275,505,401,701,581,
828,026,896,543,612,917,666,641,273,339,508,428,715,252,255,938,040,686,162,
473,502,232,564,699,988,237,351,702,081,245,973,375,935,422,333,644,098,428,
076,303,994,047,847,315,697,753,376,061,312,989,867,060,952,671,590,235,843,
573,880,238,132,021,212,190,701,686,366,147,333,961,995,813,815,617,517,192,
374,689,218,864,551,235,148,838,511,397,650,142,013,526,470,217,056,436,979,
296,432,804,524,744,688,368,487,033,927,666,642,640,354,740,252,453,944,045,
096,475,662,774,966,282,296,298,403,938,897,945,775,899,322,366,946,512,145,
358,699,461,146,060,368,966,245,664,963,970,306,921,512,494,099,983,228,242,
943,455,584,495,464,963,835,360,368,374,888,857,671,236,663,637,616,362,455,
354,262,009,659,863,458,540,220,493,172,632,614,203,900,524,523,343,141,451,
104,912,657,348,984,644,940,675,440,009,645,938,594,349,987,473,535,890,557,
218,931,898,217,795,670,557,527,941,984,347,129,968,021,573,905,058,510,441,
633,381,266,165,336,706,685,155,318,718,938,458,415,095,374,183,557,417,178,
688,931,655,099,088,121,478,020,323,622,397,412,185,335,331,197,550,616,126,
196,731,587,505,155,357,389,253,293,419,832,611,999,013,354,812,446,930,644,
227,239,077,051,049,556,040,114,642,461,265,355,201,110,022,175,425,525,231,
896,552,161,938,175,629,116,165,834,017,314,393,601,721,741,244,517,532,309,
214,673,488,845,967,412,086,652,326,120,426,765,028,056,514,686,525,101,157,
114,540,461,569,614,452,841,992,886,587,553,430,150,992,734,376,329,494,704,
414,098,384,034,601,882,868,349,618,059,678,598,107,358,386,714,194,843,761,
976,301,039,733,936,722,570,523,081,452,208,445,739,304,554,196,159,317,893,
911,432,435,029,944,559,595,071,177,106,941,550,624,929,098,274,496,389,673,
662,300,265,003,627,196,890,013,370,314,697,125,736,409,504,253,194,693,568,
688,318,553,461,644,563,000,609,578,019,069,888,978,284,694,006,541,319,863,
283,188,775,068,319,888,459,351,637,351,988,447,725,627,954,650,531,364,707,
709,352,014,543,021,558,181,993,447,508,357,116,954,771,307,649,860,355,863,
578,903,318,364,631,136,702,142,712,333,131,272,350,997,584,671,118,084,753,
749,140,185,455,988,975,152,150,860,867,123,125,299,701,982,204,261,169,625,
975,690,325,992,670,161,829,975,554,709,831,137,838,206,505,123,030,859,624,
154,275,375,728,880,506,309,791,501,490,804,591,267,226,768,054,345,760,197,
123,563,590,198,322,352,653,025,106,079,038,081,125,798,633,621,571,017,046,
519,622,209,100,852,534,755,327,142,571,709,999,581,925,664,164,361,325,838,
031,117,615,204,759,054,981,346,530,874,613,934,525,623,237,035,589,081,066,
250,508,490,254,943,771,236,600,789,811,413,140,829,853,807,664,977,170,331,
002,671,327,745,449,445,943,265,564,035,997,512,681,507,851,517,316,137,450,
991,924,344,457,903,134,470,928,426,084,308,087,108,030,951,331,734,695,672,
953,088,063,084,900,462,479,495,465,998,378,613,248,667,284,452,624,926,426,
673,912,793,544,903,487,317,888,129,326,603,185,446,449,867,983,298,550,391,
938,158,828,524,361,843,200,201,909,736,335,156,762,025,941,771,149,877,706,
049,513,811,622,713,532,440,572,517,881,373,526,559,253,473,211,449,701,351,
949,316,637,716,898,471,940,404,194,438,766,767,265,710,098,768,894,893,843,
367,397,287,164,730,322,777,145,071,391,940,083,895,641,021,778,468,893,526,
194,796,951,898,678,590,596,229,819,280,911,986,608,152,330,277,282,243,166,
587,331,469,336,345,752,174,922,656,601,439,840,430,348,416,066,264,823,453,
058,563,286,432,319,196,934,163,806,626,877,972,153,979,697,082,761,473,330,
793,817,454,396,234,080,077,821,820,103,127,763,105,019,454,822,004,055,222,
827,433,759,256,480,592,067,917,117,501,265,558,692,398,483,462,786,340,752,
919,035,837,814,543,124,223,855,917,939,066,618,207,722,760,276,195,208,229,
915,598,681,392,431,677,293,399,817,433,121,881,626,239,188,641,138,002,858,
801,539,276,009,320,830,009,609,608,154,968,227,673,717,221,767,442,262,591,
660,716,747,462,685,624,723,001,146,320,277,060,976,023,834,729,506,747,739,
456,474,384,256,239,543,751,533,262,012,926,044,323,380,156,018,516,826,019,
983,394,144,359,785,151,897,176,695,408,077,296,315,489,234,916,997,517,912,
368,181,124,936,731,659,689,096,250,203,929,363,969,547,270,120,999,636,163,
136,213,712,873,870,879,059,462,678,815,246,489,756,338,994,606,541,598,236,
854,460,544,736,986,597,626,828,469,242,346,517,183,347,305,243,955,737,439,
353,731,985,952,697,103,586,973,921,243,401,868,457,810,118,242,947,312,961,
688,143,238,762,359,258,776,046,586,475,618,774,640,163,642,102,714,572,585,
503,706,312,035,117,125,188,063,621,038,571,241,303,785,893,554,496,321,828,
705,173,001,127,128,456,382,191,279,965,585,549,849,442,243,216,071,265,782,
170,332,048,473,884,270,442,315,891,198,569,295,191,271,790,417,511,489,020,
183,591,586,529,226,169,710,105,955,876,137,630,855,523,902,447,349,670,062,
838,941,048,981,722,887,046,243,142,498,046,112,923,462,555,456,934,435,613,
040,661,153,960,373,641,855,123,165,861,464,072,770,283,606,326,920,382,684,
046,747,476,924,944,290,241,037,442,373,235,312,496,950,512,213,747,519,186,
428,363,156,333,434,327,030,662,055,631,313,645,377,144,833,738,083,729,968,
229,704,663,340,131,589,399,563,143,144,669,940,190,887,861,234,612,698,698,
670,361,574,968,633,645,130,327,843,729,999,674,005,518,349,268,703,645,489,
879,515,305,822,531,325,504,650,202,616,916,289,572,264,253,480,359,002,170,
428,668,099,091,343,703,943,422,276,131,453,968,522,008,189,465,966,195,002,
767,211,242,671,202,610,417,861,027,993,011,387,349,534,511,179,067,937,422,
841,492,782,483,689,177,023,228,779,690,132,190,629,447,479,343,917,392,777,
727,540,034,554,548,028,492,506,151,356,528,594,891,461,192,318,552,191,086,
391,142,515,785,730,928,309,991,076,564,918,601,200,004,235,772,815,917,060,
599,139,392,103,198,585,983,225,217,720,203,911,290,340,743,627,605,661,078,
416,279,009,320,973,487,089,587,746,562,940,570,468,459,250,715,118,078,809,
748,982,862,973,356,445,275,919,604,608,922,603,950,037,834,101,163,357,394,
940,775,915,077,476,981,689,869,582,339,875,039,439,547,261,847,556,150,446,
180,040,808,557,769,444,812,160,114,685,058,055,823,806,787,291,731,241,083,
478,658,475,130,924,542,806,489,700,502,621,158,260,005,770,492,087,754,019,
024,074,149,016,429,200,317,941,049,689,754,872,627,588,803,012,031,361,556,
486,486,738,132,259,035,113,852,718,268,506,997,628,132,039,272,118,483,906,
011,603,568,168,590,858,051,495,617,694,504,997,068,465,223,033,162,236,205,
543,985,150,684,774,183,269,459,193,191,712,939,571,707,114,566,102,842,442,
447,538,738,927,724,849,038,141,160,004,073,458,117,708,080,942,836,143,127,
208,196,450,908,229,246,546,896,244,438,722,738,697,730,963,463,993,190,300,
337,277,577,363,086,225,227,430,786,190,189,640,403,416,266,116,283,267,033,
222,682,657,200,946,128,059,272,764,730,912,950,092,646,589,507,257,779,212,
222,809,216,702,168,215,752,513,726,465,789,348,097,607,837,880,538,414,652,
657,176,839,308,144,952,108,515,682,287,201,032,627,211,243,236,555,444,268,
836,995,629,766,038,530,132,450,009,031,812,286,567,673,424,793,517,188,963,
918,112,743,675,158,537,476,607,172,740,547,053,362,081,913,378,752,307,900,
560,873,229,189,128,049,123,211,109,607,442,301,072,538,737,872,789,146,722,
873,885,394,012,225,735,563,107,698,201,245,408,254,201,751,858,178,915,951,
258,926,469,686,136,767,596,962,041,406,542,956,574,785,533,012,178,740,071,
680,025,912,972,162,366,401,959,843,097,781,288,844,060,607,987,020,437,671,
299,651,648,935,408,032,715,193,181,922,107,883,792,823,561,880,319,285,255,
985,344,399,715,231,012,018,942,834,359,609,322,951,701,596,504,869,818,871,
960,993,192,998,625,872,110,096,270,170,539,376,005,345,732,140,950,774,222,
719,600,602,656,708,089,532,847,474,210,435,611,243,208,391,376,313,100,184,
028,047,536,226,868,775,508,391,768,177,020,102,626,392,803,607,417,068,730,
771,389,226,490,731,924,086,245,746,617,123,231,751,638,172,993,102,292,973,
707,315,207,250,900,954,096,734,462,922,865,686,225,041,617,442,742,108,180,
327,532,743,506,353,274,031,470,496,973,949,725,782,480,471,120,348,673,370,
546,954,819,085,721,210,925,376,819,745,265,207,343,608,682,318,382,651,241,
235,536,348,927,214,811,158,078,318,332,404,028,639,941,791,937,366,109,450,
096,641,325,271,259,986,488,085,551,282,952,962,997,921,978,907,905,597,854,
177,018,248,590,556,651,475,170,346,197,566,431,296,169,329,280,096,505,810,
115,586,882,228,645,405,389,288,067,537,542,148,050,959,276,074,940,460,030,
692,707,499,617,878,943,209,125,540,536,591,651,637,476,429,225,824,095,472,
055,643,171,788,516,219,859,405,735,795,875,702,924,488,223,934,765,219,704,
339,431,984,446,699,233,460,821,719,348,748,123,453,131,970,017,263,290,547,
506,225,545,892,697,229,019,872,002,348,706,350,376,946,816,887,688,127,840,
460,638,478,122,896,209,306,427,834,123,248,542,954,756,328,283,059,354,063,
164,331,122,393,831,061,504,351,633,811,800,793,787,219,351,154,377,110,833,
520,522,085,727,846,218,762,601,146,300,370,241,234,135,742,727,886,949,512,
951,976,552,487,822,994,809,927,318,393,829,532,002,172,221,915,479,367,161,
249,465,465,043,327,822,472,647,326,814,703,051,785,427,864,900,531,847,167,
487,151,516,929,589,516,737,102,181,892,507,765,138,686,225,646,906,964,119,
075,838,848,501,326,159,412,981,428,483,341,281,081,656,570,075,864,067,422,
412,286,483,985,771,181,687,082,225,269,912,069,797,252,754,835,045,402,482,
103,944,021,854,525,329,364,503,199,648,720,202,657,611,164,030,701,589,725,
351,160,378,414,839,863,072,396,846,087,142,590,011,648,072,242,895,460,574,
066,697,250,726,496,230,586,616,725,831,461,997,697,605,335,167,344,454,401,
047,967,980,698,498,069,525,613,650,067,189,960,358,491,155,450,168,293,222,
291,958,053,885,628,534,179,326,359,821,046,814,937,750,813,696,287,816,235,
817,071,865,793,683,639,906,797,015,498,481,474,987,889,400,419,921,601,981,
181,126,061,610,402,961,094,895,498,277,165,193,136,711,842,174,367,707,064,
145,457,225,427,977,620,658,770,654,636,027,987,070,163,559,896,282,168,667,
111,429,642,722,899,655,642,423,927,467,492,598,911,504,404,614,228,212,554,
610,924,229,322,642,298,099,101,102,519,017,965,256,628,296,821,419,242,741,
020,741,188,876,540,214,319,548,643,244,728,753,989,707,641,862,871,194,707,
783,416,357,422,217,517,375,455,004,935,049,993,221,806,077,560,602,025,071,
150,133,143,234,360,317,663,624,748,832,269,057,375,108,298,440,504,796,006,
447,495,571,188,864,907,515,501,583,528,569,860,455,480,483,376,076,930,217,
103,219,580,903,245,679,526,715,488,198,067,710,332,231,755,129,126,747,848,
095,412,749,009,936,184,957,807,302,667,734,349,996,696,878,204,784,501,696,
093,369,120,211,621,827,869,897,308,002,872,269,080,329,268,312,044,603,478,
262,501,130,242,301,869,237,830,190,245,465,212,981,720,408,999,074,063,461,
766,293,333,994,242,724,195,943,474,212,061,639,203,163,130,565,408,240,702,
305,210,244,404,349,244,265,506,213,767,726,033,719,163,465,532,362,810,165,
267,028,924,164,031,874,052,924,524,161,164,688,436,403,329,447,083,686,809,
867,672,729,066,600,294,372,550,368,186,908,843,562,023,350,686,864,969,237,
101,119,741,858,988,940,661,661,183,831,978,460,534,818,761,192,279,697,482,
064,478,012,230,003,673,683,592,827,171,503,590,678,744,831,032,934,444,341,
708,953,478,153,606,818,621,826,525,350,821,189,513,080,031,402,345,817,106,
612,585,824,517,439,707,424,745,333,815,789,106,682,376,811,503,964,072,319,
091,041,134,613,432,897,339,771,590,178,147,816,707,529,893,355,853,454,295,
767,369,862,361,521,755,694,901,365,800,199,728,744,275,576,216,437,920,137,
242,956,976,728,509,355,920,060,700,098,727,891,189,244,624,203,946,004,181,
281,672,377,219,368,776,049,279,355,123,506,226,136,467,680,549,662,449,983,
155,950,416,249,709,595,508,051,887,084,874,560,128,780,843,469,606,693,157,
723,092,435,774,316,670,216,290,367,955,264,089,126,180,769,236,934,561,800,
983,458,142,914,667,313,535,200,102,320,797,686,495,171,271,291,118,183,045,
535,560,061,169,897,872,096,259,255,779,851,267,431,427,217,252,386,218,005,
012,581,536,029,394,716,747,181,886,144,323,506,507,520,866,411,650,962,510,
460,517,238,517,660,357,912,622,485,951,456,334,680,863,364,087,744,542,401,
118,668,792,715,865,987,487,713,773,538,060,895,348,016,837,341,469,369,416,
721,511,192,661,113,657,716,907,948,782,385,863,702,591,612,083,228,040,436,
337,619,510,674,126,253,465,392,218,773,756,195,853,176,086,388,637,175,969,
974,444,137,286,766,050,015,732,792,862,991,021,138,339,678,941,653,576,078,
134,426,415,473,145,396,438,872,614,095,245,047,756,308,979,002,211,308,117,
970,458,862,319,411,328,991,992,787,777,444,168,215,135,198,093,622,950,775,
134,276,737,634,479,797,708,624,685,992,611,653,068,570,054,801,790,460,493,
250,192,933,307,593,352,316,175,221,192,091,919,514,895,062,675,770,123,265,
671,099,058,952,176,886,458,128,226,210,914,464,534,264,220,828,444,034,394,
919,111,718,746,525,703,650,876,336,738,413,132,606,828,909,639,530,705,561,
380,976,146,850,049,493,385,487,066,270,138,448,238,189,575,768,300,355,402,
151,480,195,191,141,232,226,009,498,006,696,423,308,137,943,107,100,426,553,
286,054,285,336,611,801,491,372,888,012,367,765,400,345,801,861,756,847,953,
063,987,927,382,908,176,841,354,311,213,762,517,905,099,810,245,240,643,871,
834,616,252,709,569,153,480,564,472,416,423,406,665,424,213,474,276,641,570,
599,778,725,684,663,239,689,092,603,537,719,318,119,320,841,422,073,514,709,
613,449,635,768,442,852,089,582,285,885,208,353,037,364,221,206,184,792,645,
302,516,564,415,935,379,929,286,720,786,236,901,995,828,230,291,386,191,400,
364,764,716,335,879,327,872,641,060,067,438,104,653,775,108,613,031,243,949,
888,396,502,095,086,626,353,420,781,563,023,734,274,682,442,159,403,710,172,
234,555,001,441,019,451,446,141,616,154,828,189,116,030,435,039,338,950,276,
284,343,170,699,457,256,823,243,139,445,933,238,555,115,448,304,543,868,980,
146,111,998,837,969,518,468,260,295,319,737,363,235,919,356,006,771,058,742,
050,084,910,211,686,440,729,996,114,097,060,412,622,807,226,888,109,396,187,
551,112,681,252,024,121,307,796,352,847,622,228,455,243,912,596,886,527,364,
796,216,696,175,292,549,802,628,766,138,492,605,833,795,553,534,646,494,792,
081,246,670,086,598,379,891,822,806,548,928,765,856,433,701,360,589,781,044,
090,534,548,320,850,636,348,720,828,476,113,961,511,859,517,330,953,926,599,
287,262,366,953,787,448,322,429,959,959,599,545,181,404,714,276,594,986,414,
431,306,655,136,423,863,450,889,031,841,974,619,752,173,487,849,901,700,092,
455,220,232,834,978,857,724,103,009,998,300,565,179,816,888,650,115,184,779,
555,536,986,064,819,058,010,623,761,247,649,023,502,006,346,485,393,303,994,
329,793,458,880,866,022,651,004,008,829,421,753,231,262,737,972,329,477,511,
607,921,039,355,836,329,068,143,952,511,510,023,192,559,279,638,311,580,041,
775,446,590,566,227,260,909,564,629,724,228,447,131,782,533,121,789,844,815,
090,396,619,596,291,344,246,288,980,826,659,478,658,171,809,486,149,440,634,
498,432,961,910,865,885,602,460,144,683,289,747,241,299,045,495,216,875,850,
707,502,051,439,520,257,772,272,253,226,779,044,864,050,707,399,018,490,142,
458,805,896,094,402,601,739,139,812,246,612,426,698,959,311,294,129,169,798,
438,114,426,532,094,997,297,631,170,459,264,690,741,698,458,444,207,351,266,
608,099,877,123,379,880,171,102,342,026,066,862,465,624,856,120,074,380,906,
931,275,999,653,470,683,871,398,617,660,054,241,597,716,020,179,874,374,868,
099,949,543,273,593,002,626,867,646,031,890,045,953,908,390,291,524,528,151,
837,414,937,642,270,920,215,069,112,336,053,403,777,759,798,227,001,795,990,
921,463,598,349,050,857,244,390,332,298,360,090,868,608,252,002,681,563,364,
401,517,013,474,335,524,695,105,136,754,053,239,048,006,942,087,566,987,579,
648,557,826,038,634,351,171,394,765,162,456,319,883,344,182,105,305,392,889,
348,644,266,577,379,459,390,864,198,108,103,434,974,499,036,089,756,009,865,
629,172,776,377,794,061,529,205,370,929,583,824,753,474,077,355,632,803,554,
425,367,034,267,087,629,999,228,405,963,076,870,269,004,329,022,783,483,931,
654,878,558,297,588,300,690,499,135,026,146,491,857,855,029,439,533,650,410,
250,966,569,692,113,387,705,904,489,097,708,153,984,053,012,518,006,664,109,
012,422,898,383,457,925,450,698,757,810,332,933,823,348,824,822,365,840,867,
860,556,688,902,688,524,790,148,596,359,866,368,279,459,993,408,272,637,385,
047,902,328,140,613,366,941,223,795,773,865,751,061,569,068,267,853,727,562,
075,237,552,183,377,151,604,954,941,492,555,689,678,864,857,621,833,336,601,
041,069,253,193,170,202,499,323,892,357,897,352,202,185,374,129,723,540,255,
013,573,009,247,879,708,033,084,294,189,593,759,130,316,109,403,925,306,005,
363,428,142,322,872,064,740,012,854,544,046,379,682,851,489,620,632,382,384,
112,291,294,264,216,285,014,089,491,232,448,245,880,383,222,309,762,323,671,
237,029,838,366,366,658,653,427,889,433,618,972,700,812,486,117,455,310,372,
334,189,974,702,993,988,651,783,537,648,721,169,131,481,762,448,883,194,998,
758,973,928,260,699,143,640,900,146,890,633,604,744,485,058,878,451,096,297,
592,479,174,589,293,835,263,696,354,210,041,543,810,584,998,864,684,971,449,
300,416,586,125,997,967,827,088,792,695,424,457,724,450,547,987,859,800,647,
353,172,185,715,116,055,168,925,937,455,899,059,137,428,269,456,814,818,273,
389,031,022,491,859,285,141,186,997,463,567,554,938,100,806,791,166,869,754,
402,520,532,128,623,814,890,065,472,520,456,262,043,463,067,100,766,320,522,
232,187,057,769,101,270,860,197,633,133,103,700,191,408,155,404,999,470,200,
139,887,172,762,264,923,098,599,485,704,590,367,811,235,492,952,787,180,385,
010,881,713,127,384,510,625,055,378,329,745,818,925,686,268,122,519,612,164,
840,726,272,395,482,451,028,716,668,866,801,149,628,840,524,872,430,173,697,
218,560,883,056,483,438,940,951,380,849,861,848,833,122,728,126,205,762,790,
843,036,045,983,015,622,830,203,264,638,135,648,561,613,747,747,301,556,932,
796,944,874,620,394,833,049,047,829,658,520,137,036,241,516,291,477,437,475,
115,977,689,503,093,399,332,312,949,646,488,170,559,534,506,359,320,195,212,
016,294,173,164,417,804,167,760,096,177,735,078,018,831,915,329,258,439,522,
829,909,994,460,847,050,129,747,840,338,306,354,538,749,067,452,232,521,379,
146,528,348,954,687,603,040,692,030,317,731,751,315,252,744,316,952,188,648,
523,126,877,300,831,374,683,721,395,769,930,858,146,651,302,068,799,713,261,
193,611,744,112,617,409,405,524,127,822,313,079,747,099,031,662,786,627,776,
886,283,437,633,511,078,960,967,717,039,745,899,526,503,715,913,114,138,057,
878,265,719,584,986,918,243,459,165,428,089,840,472,606,996,574,063,674,189,
238,560,460,870,309,384,126,498,773,165,000,305,884,045,176,266,984,017,591,
963,281,913,315,764,716,012,428,323,633,714,808,537,911,450,446,415,802,650,
664,228,247,131,545,010,745,770,404,507,362,119,562,338,606,638,925,067,004,
707,421,592,775,749,082,489,989,720,458,409,724,669,264,898,125,268,803,564,
999,567,979,321,618,335,688,836,494,208,237,867,674,138,150,638,709,697,700,
055,704,971,714,138,974,636,325,105,969,895,912,048,244,806,208,083,045,634,
957,252,142,300,478,940,800,624,180,004,113,966,141,586,387,183,117,675,041,
841,731,863,117,278,698,760,195,038,001,055,402,352,416,532,017,250,530,477,
360,567,051,484,564,679,235,102,763,704,050,665,784,088,987,374,162,776,273,
614,687,582,511,881,838,388,898,724,392,485,753,402,559,036,698,707,766,960,
750,689,123,258,724,393,891,242,054,737,392,008,927,389,678,628,704,874,772,
222,680,006,274,989,546,383,519,041,341,292,207,375,776,790,248,714,239,998,
984,069,219,240,058,611,442,619,537,818,964,229,463,555,131,725,662,784,261,
867,593,712,170,617,163,470,403,318,436,744,759,884,390,410,801,414,860,790,
023,529,458,433,744,216,648,255,526,216,498,988,610,661,145,531,969,866,487,
815,816,059,355,282,050,008,889,283,261,169,211,718,863,398,859,213,034,732,
056,956,043,527,436,015,065,837,751,533,267,935,744,265,757,040,526,506,526,
513,628,872,062,825,007,332,662,515,119,786,472,338,796,480,583,341,311,130,
601,476,468,508,720,294,880,448,914,892,460,938,210,981,730,750,043,057,533,
248,537,512,309,417,574,353,017,372,292,335,083,191,764,488,253,897,194,009,
026,975,609,622,610,554,957,738,025,841,413,842,486,679,991,838,486,289,630,
196,024,311,225,063,959,087,361,420,910,505,626,617,776,208,798,204,826,103,
153,434,933,262,711,340,909,759,516,418,156,096,609,749,725,842,776,435,033,
561,673,729,878,727,152,259,836,386,110,238,950,527,299,535,348,330,691,308,
893,162,325,646,243,228,579,721,770,965,643,640,980,296,671,748,690,618,073,
308,867,126,194,686,394,090,947,542,473,560,244,870,300,957,744,385,743,013,
141,094,413,686,120,296,396,109,354,614,080,258,588,940,981,817,696,855,515,
008,928,305,713,511,299,172,603,169,494,311,479,985,993,449,921,272,072,213,
618,253,562,339,510,604,529,541,709,585,124,667,515,615,958,930,836,844,540,
464,604,780,649,861,183,150,172,237,130,648,928,049,146,183,384,408,302,811,
200,285,075,984,565,971,864,097,244,979,860,933,743,362,484,905,128,066,867,
763,298,416,174,083,752,332,909,387,640,109,567,420,911,271,089,070,484,836,
154,302,918,054,862,249,456,275,071,954,940,633,855,715,431,562,425,927,149,
872,043,471,338,615,757,976,405,376,174,032,086,266,942,024,715,830,236,941,
703,221,186,041,267,629,672,529,949,567,408,199,085,632,645,308,397,764,058,
678,194,012,260,288,036,878,251,437,372,644,997,065,854,865,174,595,002,384,
693,719,323,158,447,574,127,259,161,218,128,390,061,695,344,477,934,684,028,
343,874,425,855,415,455,289,134,206,851,532,974,565,861,807,536,946,525,325,
077,909,664,511,232,574,819,383,202,105,841,149,306,797,034,768,055,091,670,
178,418,574,890,184,671,339,911,151,651,086,198,642,464,731,178,496,574,637,
617,489,301,423,111,637,625,898,724,615,985,209,308,220,051,757,102,684,399,
702,508,857,476,254,597,147,295,806,979,786,238,575,308,856,115,305,051,380,
952,313,797,528,795,828,503,058,900,014,705,275,552,185,746,868,579,813,621,
150,963,702,646,521,896,222,457,877,874,287,058,574,595,993,303,659,311,736,
080,420,139,859,714,767,529,937,256,653,546,497,208,891,086,092,184,319,975,
046,711,612,430,661,080,958,159,163,319,096,842,945,300,803,358,853,173,270,
802,482,618,093,161,235,875,248,277,801,494,047,152,019,706,254,204,298,585,
435,255,656,116,528,558,399,341,796,077,752,983,636,480,953,335,180,522,715,
329,488,737,297,736,077,681,081,771,395,250,885,162,457,504,580,644,841,046,
261,785,708,150,519,343,298,310,597,834,104,162,478,318,059,708,552,572,884,
165,439,707,954,947,252,043,153,376,166,127,778,892,055,192,295,447,037,490,
645,510,565,518,341,569,873,371,107,735,954,651,675,910,154,839,172,144,765,
250,767,666,777,658,030,059,243,485,746,744,837,393,315,122,309,192,122,485,
593,687,157,584,681,469,413,743,144,600,472,399,983,291,599,530,231,822,453,
426,972,117,794,095,430,514,136,364,512,111,483,141,244,611,988,328,992,915,
278,386,519,884,700,985,741,650,089,069,665,611,727,490,035,103,786,031,895,
868,240,523,740,912,847,187,776,272,885,534,084,445,971,687,945,876,650,705,
159,135,283,389,648,110,911,585,069,778,606,961,447,386,336,979,848,256,089,
965,724,434,105,922,804,272,212,405,144,794,423,528,121,566,370,658,857,267,
147,145,352,689,845,914,312,248,089,352,496,013,195,552,503,958,131,667,785,
265,858,968,640,177,768,592,920,369,927,334,157,675,586,332,846,411,556,637,
663,390,832,851,673,022,210,367,864,831,847,640,951,120,770,007,714,254,126,
480,125,318,418,503,529,701,427,848,770,309,776,296,642,637,402,992,864,111,
283,960,637,933,279,233,288,518,314,522,338,165,990,078,797,788,306,925,229,
839,860,289,605,407,276,042,380,649,874,901,527,129,901,773,936,589,670,157,
343,707,434,526,647,226,795,960,274,678,133,321,100,099,211,669,285,201,946,
253,287,346,040,500,174,258,806,832,810,423,871,655,914,122,504,852,707,019,
815,119,383,503,579,312,381,001,296,631,308,715,650,174,940,563,681,080,092,
068,299,841,519,729,376,318,470,693,419,985,101,754,543,702,993,285,120,091,
745,018,270,012,672,610,109,565,752,860,144,770,058,243,752,346,883,072,733,
146,774,296,481,787,538,692,593,213,572,122,398,628,298,503,216,823,504,680,
704,044,988,443,065,425,558,880,739,941,598,649,944,078,404,844,310,977,697,
239,619,655,562,226,925,600,044,887,418,259,688,714,871,221,237,297,053,076,
793,052,800,912,635,834,030,592,466,251,145,555,267,413,049,783,542,881,568,
736,154,819,516,158,498,661,451,007,617,148,963,997,252,845,419,201,646,030,
461,280,330,719,496,787,560,058,168,303,661,696,851,517,965,619,410,786,021,
927,391,354,836,660,615,753,742,233,803,273,630,049,623,279,251,851,063,227,
874,617,248,167,186,428,380,240,346,591,834,403,967,303,475,593,790,650,534,
380,678,991,646,440,123,587,805,796,151,821,850,932,745,305,308,000,282,916,
462,936,012,635,805,290,957,446,069,145,919,769,514,487,931,383,318,924,359,
585,818,377,083,365,429,539,737,719,242,609,657,310,836,626,219,623,409,970,
265,220,268,350,924,880,679,969,755,999,414,683,901,757,864,097,311,670,793,
760,961,386,994,451,229,279,509,854,603,406,107,737,407,175,284,645,940,301,
680,330,742,859,916,440,755,648,644,618,459,971,046,548,687,419,963,954,042,
991,071,880,181,133,378,749,644,089,944,883,737,531,837,974,332,767,462,191,
834,093,140,713,805,039,374,563,447,422,195,151,471,366,166,444,713,821,141,
651,768,533,896,018,407,651,549,791,929,086,886,299,798,077,960,612,219,047,
594,041,095,142,985,837,568,648,082,942,123,952,669,845,666,578,327,192,055,
612,317,255,684,382,420,039,097,374,006,347,114,676,785,233,807,268,055,408,
961,902,416,185,029,465,465,125,796,163,422,083,106,810,947,948,545,834,811,
494,752,292,246,080,674,738,445,467,768,841,161,061,941,005,810,565,118,002,
400,356,809,694,520,063,579,153,451,147,689,517,467,467,312,429,891,453,350,
804,540,870,393,996,846,245,066,062,909,116,154,574,041,852,276,628,785,074,
613,155,276,782,651,784,685,312,306,498,189,813,888,527,891,261,347,317,938,
870,820,545,113,232,323,974,840,904,687,439,792,026,125,268,599,073,270,460,
626,221,765,771,574,725,188,837,386,515,664,219,494,689,204,517,734,312,588,
746,793,528,626,292,017,300,405,889,990,855,567,890,205,418,156,905,017,529,
757,252,913,714,475,808,721,364,947,062,028,950,319,110,384,946,956,868,913,
472,318,733,664,337,865,670,092,561,741,192,645,345,202,839,455,933,776,502,
118,518,711,558,899,058,958,923,932,342,987,033,022,094,874,651,348,165,583,
692,010,193,162,379,838,265,583,507,717,414,341,952,673,990,037,741,223,728,
351,776,499,798,301,386,149,882,828,957,184,731,931,783,505,438,183,440,144,
522,117,528,315,842,050,499,474,076,807,882,116,116,902,526,618,363,787,391,
238,062,687,428,495,497,464,885,510,285,640,253,036,560,722,387,226,572,040,
353,438,918,048,645,246,713,397,061,140,793,155,842,212,898,423,905,244,013,
922,310,124,351,426,041,384,831,717,629,178,419,179,063,483,927,770,384,783,
624,114,386,857,136,483,399,375,068,014,797,990,450,756,447,507,410,639,691,
817,193,903,969,120,482,888,620,449,102,037,488,135,425,608,804,888,214,331,
763,111,035,337,039,600,600,683,092,457,486,562,305,086,129,014,621,234,366,
858,995,551,670,166,718,349,451,879,998,588,644,460,108,387,673,841,036,478,
529,655,401,095,929,486,859,933,987,599,246,974,702,398,610,747,338,628,729,
617,701,968,169,491,803,301,540,898,718,015,770,142,156,876,058,464,892,252,
589,110,438,558,718,945,184,857,191,451,181,966,750,391,627,365,405,839,250,
203,104,311,359,241,844,366,404,283,890,419,031,194,172,347,558,183,762,533,
858,458,550,847,948,395,939,546,480,487,935,502,296,707,337,091,252,370,961,
768,194,731,271,785,715,136,042,235,415,056,912,590,643,963,274,546,647,849,
970,692,381,109,025,257,966,461,147,214,313,903,312,071,846,554,030,621,595,
874,314,186,605,119,295,411,874,939,398,780,701,287,672,440,158,765,873,181,
617,079,993,130,434,588,502,124,591,431,842,333,914,322,056,576,832,432,044,
153,589,947,677,242,432,381,418,324,122,464,960,324,271,124,420,737,793,899,
017,940,983,355,396,332,021,679,659,912,453,301,782,800,821,452,796,975,566,
782,265,058,996,789,943,056,111,722,986,056,646,649,890,850,430,162,570,622,
401,894,669,015,238,879,871,015,152,134,138,405,898,450,698,353,554,049,096,
622,648,067,096,029,357,501,399,158,281,631,213,458,049,457,103,576,955,332,
812,107,970,724,322,627,496,690,868,933,399,116,266,144,872,843,501,414,666,
486,963,400,311,926,800,157,055,405,975,114,020,955,585,442,995,315,068,192,
094,214,321,568,334,507,779,483,670,988,398,366,288,969,184,263,578,659,464,
613,452,384,846,708,795,117,408,552,246,267,014,183,420,396,241,874,113,893,
752,118,707,226,152,465,573,219,198,883,197,725,162,142,592,149,339,468,066,
414,910,510,686,433,536,921,169,917,939,794,607,514,008,890,123,618,472,633,
336,481,848,878,952,805,038,074,564,252,047,108,702,320,663,883,961,046,523,
982,311,979,099,732,185,486,931,729,435,196,621,760,261,963,163,823,831,358,
529,727,748,420,182,123,683,103,757,176,577,724,106,593,014,801,683,933,187,
469,401,732,950,099,771,193,088,593,637,572,716,354,573,112,832,735,674,454,
282,607,490,695,037,625,354,227,752,789,190,413,070,433,801,063,879,755,734,
582,765,251,256,474,692,510,556,504,823,348,562,423,311,812,302,994,791,815,
023,028,028,778,827,671,737,987,103,265,320,185,563,417,843,696,485,323,303,
908,249,565,741,238,725,781,949,611,483,933,990,686,302,344,562,118,028,198,
585,344,256,068,737,360,956,236,873,189,633,402,940,113,451,939,067,350,987,
781,447,595,475,918,672,410,617,114,690,061,902,108,809,733,685,971,116,856,
282,846,970,440,838,213,229,186,184,515,742,992,511,978,020,160,553,693,743,
724,101,690,839,230,850,159,444,501,064,917,518,973,836,261,159,959,684,350,
054,187,922,281,767,331,818,077,131,937,073,871,261,033,758,670,279,543,221,
007,961,044,812,673,388,753,993,757,161,120,052,174,044,125,219,178,384,308,
722,788,732,789,630,658,789,851,913,586,005,543,832,057,839,361,542,824,241,
309,762,498,763,919,310,955,755,981,485,048,613,106,473,514,822,399,524,272,
270,978,703,720,565,089,747,876,176,053,100,600,198,787,595,824,057,323,247,
887,399,665,919,734,279,708,604,428,996,993,576,156,530,578,273,578,393,943,
171,847,120,387,956,216,758,954,442,247,803,586,185,521,647,158,209,152,565,
135,198,533,399,416,533,676,159,523,440,269,448,023,719,698,369,604,479,547,
852,711,231,916,973,647,256,586,820,700,870,045,823,799,282,305,130,664,699,
953,963,770,950,050,165,695,072,941,167,582,481,633,904,935,811,486,922,131,
236,306,367,831,827,747,788,834,821,680,411,240,869,119,086,795,983,505,951,
056,493,610,490,134,385,148,332,246,346,174,168,114,972,423,601,764,970,880,
602,512,723,787,176,394,731,237,004,951,332,763,239,385,835,110,130,203,154,
180,149,358,356,596,393,829,848,872,489,980,984,956,137,722,592,974,653,358,
227,785,871,030,917,892,422,184,121,889,835,833,040,391,752,222,691,382,411,
355,467,506,178,783,810,212,442,401,355,589,882,904,407,316,299,927,048,779,
984,608,713,515,954,990,776,449,442,027,284,461,747,478,193,895,584,635,381,
180,512,629,332,177,216,296,352,060,410,929,508,182,308,210,649,017,374,793,
161,214,953,391,129,155,680,397,894,216,804,664,413,837,503,374,422,949,547,
107,165,370,209,216,314,588,946,392,431,119,689,715,552,839,563,814,372,669,
176,400,205,878,007,153,472,796,559,126,131,317,151,912,440,092,572,767,344,
408,398,473,694,092,779,170,574,100,359,677,590,039,794,104,801,574,824,128,
382,168,500,682,450,689,377,117,849,189,295,685,985,272,585,392,935,932,940,
451,118,110,660,240,522,363,856,127,739,414,384,199,499,368,411,812,659,175,
123,899,289,038,141,059,128,027,244,109,660,648,049,642,013,068,950,491,887,
289,560,294,653,315,739,409,609,298,297,782,259,044,416,678,621,328,460,072,
903,267,976,679,783,100,589,105,228,477,255,708,327,092,979,593,978,745,959,
726,023,419,471,210,591,264,275,656,298,220,117,278,991,381,655,396,842,081,
875,000,071,301,887,367,651,050,110,498,601,336,564,309,206,645,134,773,706,
588,719,039,798,117,856,915,997,970,078,875,121,037,168,169,602,813,045,284,
984,925,569,179,164,302,593,185,486,467,024,803,663,101,548,650,247,489,748,
019,310,520,615,293,291,082,073,180,355,057,538,933,172,187,296,886,902,117,
299,168,033,434,703,433,774,224,695,205,705,969,061,040,466,123,343,541,082,
694,883,561,694,618,297,162,151,576,395,258,462,817,484,465,984,397,012,734,
456,676,292,175,986,625,858,016,485,016,575,907,123,983,842,469,675,983,397,
132,082,488,070,966,183,390,678,660,020,862,664,721,747,870,400,717,420,812,
923,667,444,042,773,102,293,262,419,332,993,481,966,099,264,798,176,872,985,
385,881,987,214,178,793,483,841,224,529,315,473,263,466,689,112,177,473,496,
140,710,077,175,958,109,197,787,324,093,785,573,796,401,317,746,636,205,909,
918,470,725,370,757,790,202,045,266,981,514,644,654,639,541,812,488,794,153,
241,015,606,727,623,829,497,749,658,323,502,944,488,170,865,925,863,803,945,
715,269,509,884,980,966,306,948,225,546,881,285,818,125,246,790,579,157,639,
864,337,306,474,239,854,038,243,807,179,495,034,204,740,208,640,769,210,775,
006,483,990,525,464,669,269,183,073,694,051,743,518,007,772,927,198,612,058,
234,681,745,845,677,603,747,984,675,967,261,948,251,915,655,307,021,836,001,
628,743,558,122,813,614,980,936,555,808,208,960,775,821,557,930,664,176,356,
452,899,450,916,717,910,420,844,219,300,812,582,047,047,473,829,450,922,204,
066,111,140,898,854,978,542,247,458,911,887,242,314,977,680,403,577,864,494,
426,847,666,801,671,293,954,517,393,679,489,818,783,652,456,203,382,293,291,
933,631,798,184,265,099,574,712,854,379,556,114,323,206,655,637,058,858,248,
082,938,552,085,075,787,150,917,539,348,918,683,211,185,248,653,504,681,586,
103,616,717,351,439,940,684,073,260,174,062,540,007,589,836,223,166,370,302,
738,842,807,219,034,066,911,424,182,737,458,923,974,837,824,466,165,122,933,
059,544,143,746,478,526,234,337,292,330,180,878,377,858,000,131,003,776,396,
619,633,832,431,254,234,108,363,846,739,937,308,124,908,870,127,792,446,702,
264,629,993,003,670,131,620,618,760,263,167,647,995,229,039,675,065,044,816,
238,486,786,878,206,057,201,397,683,099,934,138,805,275,316,351,168,072,621,
709,007,804,215,880,508,758,466,496,440,301,514,141,434,984,379,978,559,676,
533,081,996,416,218,665,334,046,082,859,579,826,670,546,331,867,880,956,123,
047,737,861,326,614,229,499,171,203,349,100,619,163,779,386,407,180,163,886,
384,997,373,159,824,483,199,351,632,477,726,783,592,962,827,510,595,698,414,
001,862,137,409,913,729,970,512,855,966,376,375,589,090,429,801,029,151,721,
850,388,012,748,229,781,886,364,339,137,516,602,139,483,187,285,341,007,062,
047,490,032,035,639,733,449,106,932,062,614,050,093,812,443,877,279,985,583,
559,213,370,545,458,185,381,212,285,805,921,239,958,494,178,610,699,919,173,
425,885,327,359,161,920,472,961,597,039,906,652,297,834,445,281,849,294,525,
259,560,359,739,811,294,866,469,451,198,461,499,373,087,596,149,830,549,359,
449,225,511,137,414,668,245,272,255,219,545,616,018,405,701,541,202,025,003,
077,710,817,381,552,399,875,294,375,339,068,777,583,383,883,818,076,238,329,
200,519,389,752,114,381,426,265,503,680,967,233,954,706,733,012,190,961,571,
187,406,920,457,241,470,486,142,790,575,234,164,924,992,032,101,616,636,652,
143,078,747,858,731,254,664,325,091,527,793,595,446,296,974,092,993,845,904,
823,847,164,145,038,365,036,310,639,174,017,786,933,184,592,696,289,547,707,
675,319,875,834,482,040,426,074,319,276,075,304,534,206,660,392,945,553,619,
723,752,417,338,126,997,321,786,947,913,054,086,472,518,566,300,550,130,385,
869,100,029,607,693,314,502,280,801,941,324,370,460,359,936,456,832,673,650,
649,293,442,471,024,985,744,250,471,407,807,257,034,293,138,946,532,948,266,
349,817,928,758,807,605,972,359,716,025,629,056,908,013,269,623,825,815,457,
565,332,770,930,486,973,937,887,351,228,459,027,478,150,078,028,907,575,204,
535,447,874,581,242,930,427,998,984,329,994,964,647,480,106,514,699,475,251,
604,346,757,011,930,376,128,319,913,034,952,359,140,534,540,056,910,597,421,
872,690,634,544,020,416,762,197,597,337,692,682,947,956,520,752,236,423,564,
609,875,345,220,003,645,793,145,628,025,986,959,577,519,148,952,241,825,374,
424,133,186,231,038,949,740,150,441,919,463,139,773,728,711,885,221,389,247,
125,441,893,286,117,149,867,318,168,097,973,000,162,416,095,385,681,964,527,
881,650,060,461,338,599,260,260,552,211,085,705,529,879,288,531,625,362,219,
904,323,191,906,425,950,645,816,887,391,735,423,783,171,886,349,548,690,082,
079,394,103,451,232,453,312,193,495,355,171,532,301,571,612,150,287,622,304,
001,952,443,786,093,235,229,078,871,099,348,433,906,829,009,641,566,194,808,
114,331,347,917,568,689,372,407,729,645,516,272,281,229,079,799,329,689,518,
001,506,894,972,511,475,652,336,849,667,537,293,441,790,527,388,402,104,259,
545,326,521,290,128,791,932,404,251,594,824,305,449,011,425,466,082,723,831,
582,290,710,111,432,516,897,476,674,621,418,774,500,286,666,334,968,797,914,
139,657,113,052,400,798,433,735,724,497,207,640,495,791,891,220,748,625,103,
494,403,424,760,510,647,014,685,287,773,779,689,025,887,573,813,040,370,591,
917,917,648,281,385,213,506,709,622,984,901,509,426,153,722,100,994,826,937,
546,797,137,989,899,366,639,961,317,707,762,379,403,243,311,706,910,756,997,
041,463,816,482,502,983,558,870,647,495,713,847,946,323,301,047,708,760,406,
254,247,692,674,672,575,085,503,799,183,039,543,317,538,376,739,899,390,047,
477,175,418,484,961,889,158,698,515,185,425,915,295,506,464,091,087,052,948,
534,952,617,198,311,958,813,044,985,021,115,421,033,642,778,639,707,368,389,
170,273,579,162,437,284,480,163,790,860,905,046,707,370,528,099,065,805,458,
618,307,305,461,038,618,992,367,429,713,023,146,167,511,538,876,996,371,184,
960,249,970,000,742,145,252,588,836,181,973,291,403,710,338,145,363,722,893,
227,338,106,294,025,920,881,989,102,345,477,994,171,190,575,308,837,644,981,
389,530,020,975,393,078,983,882,104,299,755,440,131,932,905,810,875,866,429,
863,658,337,581,759,385,970,136,021,887,463,333,980,917,691,491,400,796,290,
047,435,486,356,464,563,042,005,481,071,201,502,817,717,890,617,210,450,806,
923,191,625,755,966,826,259,029,286,913,611,848,823,510,668,158,378,055,868,
987,374,727,480,675,176,744,455,405,247,832,629,899,814,674,363,264,278,215,
458,061,023,901,304,983,028,123,588,277,537,511,318,009,800,634,547,489,919,
858,505,480,213,434,979,643,637,004,250,814,240,682,295,984,408,706,682,067,
367,442,891,275,343,278,248,167,779,445,828,256,738,759,495,519,208,522,803,
559,309,824,582,477,888,587,444,893,673,613,035,349,313,588,246,699,178,049,
393,432,943,687,184,993,669,730,329,848,532,694,718,366,814,628,257,925,236,
929,495,103,286,878,258,269,203,767,248,089,698,567,710,764,284,366,026,648,
276,644,966,750,234,234,990,554,740,597,132,896,687,196,178,461,884,791,178,
302,633,947,114,411,932,597,338,153,963,992,657,629,841,967,751,464,932,796,
304,347,070,169,340,067,023,923,397,344,784,613,562,791,919,230,473,119,308,
685,814,746,455,268,179,608,198,665,305,832,643,563,650,007,956,454,062,820,
783,965,269,296,907,662,511,077,939,057,667,469,872,693,849,508,147,905,850,
668,848,170,821,377,213,373,009,845,189,474,191,910,991,771,630,169,534,831,
033,639,624,469,282,549,955,201,974,452,901,687,250,599,036,061,243,686,334,
536,916,096,558,598,380,215,694,561,229,064,197,909,909,674,092,201,362,700,
729,038,432,012,167,924,014,754,656,267,150,384,209,612,108,350,000,154,172,
623,512,864,437,621,710,771,798,465,153,049,285,018,048,343,450,422,177,588,
519,473,497,103,095,649,742,141,312,596,486,765,780,863,205,850,028,330,971,
374,228,584,148,476,361,783,657,663,354,241,033,540,375,921,570,413,967,182,
133,731,456,381,095,750,325,536,506,475,685,152,156,094,469,379,374,377,807,
300,248,812,710,888,345,702,803,720,200,137,963,198,488,898,309,662,239,983,
831,475,342,383,949,072,807,895,132,875,468,181,306,576,549,210,558,903,091,
015,734,062,627,812,324,036,757,451,501,911,256,969,618,942,910,866,075,105,
575,949,481,018,972,597,608,212,738,530,252,031,847,108,486,650,467,674,714,
134,988,360,971,546,623,212,506,118,550,433,575,749,179,021,034,381,228,704,
006,726,939,472,491,012,605,374,812,374,182,492,786,862,798,980,090,704,323,
236,384,930,696,608,318,570,711,072,460,118,046,007,450,510,876,546,481,083,
784,883,931,530,112,927,316,555,338,761,498,945,571,609,870,268,459,207,438,
439,096,696,057,847,912,444,006,765,323,974,758,212,437,602,418,897,937,899,
341,874,040,002,774,253,454,124,539,300,778,646,154,494,315,292,284,975,975,
663,545,881,330,078,456,624,271,978,004,927,365,493,944,709,893,093,032,555,
836,861,469,542,522,937,815,808,419,844,078,811,968,758,198,212,003,786,617,
287,910,972,179,221,427,189,370,740,994,777,665,402,962,832,884,810,700,019,
214,142,529,544,125,914,803,970,882,239,732,427,426,842,092,203,183,858,355,
140,749,597,827,170,985,175,702,640,481,750,563,879,302,948,334,010,796,537,
912,355,234,037,767,392,115,199,007,027,995,676,904,599,882,602,881,092,549,
322,315,767,072,523,455,506,658,415,219,404,700,948,896,704,286,568,937,103,
409,009,825,129,453,725,473,515,940,745,062,973,649,895,769,532,402,644,484,
101,520,049,585,271,413,325,515,196,611,869,463,361,328,740,410,728,682,115,
558,265,859,600,363,899,549,455,295,843,310,769,875,202,820,640,600,301,159,
515,160,662,392,497,240,511,440,586,111,042,939,346,765,349,389,482,581,233,
764,818,022,704,851,765,686,237,994,020,972,685,666,649,492,864,750,910,011,
902,934,597,498,441,545,470,846,576,334,318,840,003,715,083,771,257,485,969,
652,235,539,224,481,260,364,129,908,181,082,188,660,907,957,039,746,475,582,
996,800,247,741,734,211,673,460,805,110,166,535,353,911,128,198,051,060,995,
067,606,286,913,195,082,230,367,744,391,701,172,809,440,899,132,235,615,795,
262,703,371,776,028,426,261,956,265,043,254,973,113,581,035,183,781,684,553,
089,796,073,336,351,061,405,094,911,394,620,207,768,748,035,992,243,293,140,
018,523,455,294,710,752,649,824,165,817,797,854,634,582,117,579,097,591,300,
149,749,445,854,658,753,965,504,348,713,782,124,929,976,360,218,368,665,296,
206,086,480,369,832,716,606,643,004,391,563,141,956,146,828,076,237,065,054,
512,088,184,242,857,517,302,599,988,761,024,131,877,566,166,077,736,809,287,
549,884,496,231,464,373,197,524,655,864,170,964,426,576,117,396,431,281,044,
603,829,955,738,182,805,907,351,725,497,852,184,769,568,664,083,687,382,701,
967,936,328,103,695,316,168,546,442,942,842,397,063,721,661,895,562,005,050,
895,402,526,829,005,890,456,741,432,839,816,934,306,268,325,049,363,280,179,
686,814,735,083,598,446,155,284,549,106,831,629,965,819,299,698,205,839,423,
383,866,211,974,119,669,468,258,611,358,250,103,524,156,908,694,253,748,046,
839,625,469,755,306,376,963,845,227,978,115,095,099,870,926,661,322,703,277,
462,590,959,925,819,921,726,876,130,690,150,803,214,469,893,643,732,137,618,
388,951,488,033,916,198,002,617,233,114,349,397,971,729,556,743,499,140,701,
071,431,192,002,196,528,465,176,103,352,407,784,192,838,114,952,318,286,469,
063,434,443,914,225,858,394,281,857,661,108,736,003,124,538,359,499,804,809,
592,394,091,680,995,655,624,268,656,461,978,434,323,710,480,491,331,743,449,
959,749,753,576,592,443,246,105,512,414,993,715,151,730,409,764,249,336,077,
676,006,846,463,750,430,278,490,669,368,176,270,531,846,068,532,631,269,782,
160,434,014,412,633,200,927,417,795,159,363,463,457,829,103,640,619,064,835,
573,793,540,281,520,424,213,632,872,354,397,258,746,185,759,598,852,999,257,
188,964,760,501,153,717,546,291,136,357,687,165,362,751,925,683,748,744,893,
833,080,899,131,132,493,554,731,485,274,166,015,494,792,122,498,382,834,410,
397,839,441,511,711,053,534,126,256,154,096,257,813,563,666,951,218,372,265,
522,695,102,261,848,849,110,868,792,867,557,581,843,488,028,916,337,062,449,
217,871,605,513,689,837,903,804,006,927,357,001,496,226,398,002,830,319,582,
357,782,540,813,682,965,982,297,449,030,185,058,590,542,098,410,310,451,169,
712,780,865,134,353,648,559,653,338,385,414,435,797,339,695,340,235,225,338,
685,226,990,479,935,428,811,801,996,237,397,320,456,009,593,680,205,880,470,
023,229,611,947,197,652,238,973,142,370,850,708,415,646,605,491,689,297,396,
805,803,038,733,136,263,845,320,308,873,046,207,341,135,249,768,298,804,857,
733,363,631,011,502,614,038,573,799,307,120,930,979,978,311,754,672,384,996,
763,725,965,719,368,684,388,290,493,629,743,709,518,862,063,153,525,757,746,
826,949,730,642,270,784,121,359,388,672,562,628,227,161,428,568,753,063,987,
191,303,559,909,123,891,546,319,381,078,029,911,136,015,579,205,750,602,371,
272,399,226,642,342,009,062,780,855,206,065,304,458,863,426,014,088,503,699,
992,988,233,674,631,324,298,665,728,755,698,841,521,790,623,999,755,288,655,
741,302,436,061,307,780,638,260,855,451,141,633,003,759,880,166,745,207,139,
835,581,301,334,556,876,003,246,310,189,739,300,656,916,905,338,053,959,654,
321,242,746,319,065,059,891,065,584,965,035,889,011,476,747,844,242,337,148,
900,163,861,776,000,657,644,730,117,488,296,581,829,124,485,351,471,975,996,
323,525,579,917,324,380,554,795,611,591,291,222,901,041,488,006,141,458,888,
960,940,807,707,710,010,450,530,322,320,010,003,855,116,042,282,317,553,766,
521,090,023,504,999,221,027,079,535,703,997,988,868,378,982,687,698,331,188,
174,230,560,256,373,244,758,577,937,607,436,129,865,026,318,135,707,944,886,
957,988,430,840,473,070,453,300,810,898,273,489,392,312,519,657,418,029,937,
444,121,886,954,583,013,417,641,081,540,750,346,492,767,766,661,149,283,839,
593,218,420,436,660,698,564,756,061,156,236,455,728,735,713,599,713,942,881,
123,304,705,558,081,850,527,731,076,822,097,691,705,045,667,952,796,857,610,
955,420,006,436,409,574,152,075,064,468,357,535,446,865,972,180,856,910,797,
116,415,879,878,755,814,293,191,646,551,929,274,307,433,043,061,767,850,743,
571,864,199,476,206,000,802,436,315,311,108,731,878,033,619,026,500,444,089,
558,541,174,391,927,436,493,899,485,643,035,616,970,164,023,238,885,695,339,
099,133,786,707,679,362,897,673,950,888,084,293,468,941,007,367,194,968,084,
038,288,012,947,513,679,822,127,378,038,620,158,044,781,495,777,288,297,793,
262,073,854,793,869,123,608,257,586,917,879,853,026,764,097,636,161,448,409,
787,792,849,826,434,239,810,684,393,569,907,069,030,714,460,022,549,758,674,
792,090,334,085,221,211,787,090,004,042,735,949,843,214,997,313,652,728,551,
515,798,190,818,914,784,959,763,026,292,746,299,095,100,667,158,831,638,313,
346,628,496,615,790,393,565,077,905,746,379,008,420,988,530,385,870,662,738,
219,840,274,608,317,847,275,951,521,602,812,815,073,452,964,136,327,712,195,
055,065,829,435,763,461,178,724,634,653,944,309,040,742,989,332,403,118,998,
599,789,140,679,499,620,148,608,505,569,526,084,591,487,969,179,277,521,083,
649,183,852,236,088,918,013,273,782,750,261,542,923,657,199,652,053,080,225,
022,272,793,426,726,139,960,710,426,648,517,576,506,295,832,389,730,468,582,
358,560,755,153,462,771,659,470,554,038,874,451,828,174,123,334,216,253,769,
900,341,001,945,117,285,185,568,746,684,131,282,462,085,095,169,595,394,241,
668,483,034,996,091,109,265,320,546,836,689,400,526,071,563,462,335,782,348,
985,421,258,541,569,288,158,710,214,488,594,148,722,485,806,435,785,362,315,
741,492,433,257,088,920,712,265,277,098,102,011,396,065,700,633,323,775,875,
472,700,947,656,625,998,132,245,184,791,453,880,182,412,747,361,023,365,999,
746,191,281,191,400,514,385,317,955,869,108,716,528,053,991,379,653,302,125,
282,151,563,866,853,528,720,623,284,513,423,444,310,580,154,733,938,452,246,
540,283,887,269,922,494,502,081,561,103,174,932,123,970,537,307,139,198,694,
478,558,427,587,611,471,315,516,586,653,733,024,052,589,090,013,214,514,260,
343,531,780,114,641,228,463,333,412,864,469,941,582,379,684,366,168,288,958,
741,876,545,740,471,891,459,753,268,765,568,215,834,985,012,190,858,359,401,
314,448,096,433,222,276,105,114,139,433,260,714,028,707,918,779,027,609,504,
241,333,198,989,300,153,034,481,279,404,469,344,997,475,034,798,008,844,067,
598,632,339,503,444,064,142,763,452,385,347,787,386,582,062,138,671,608,930,
664,154,572,214,773,734,434,421,449,533,662,424,505,414,310,874,291,202,763,
542,965,517,763,520,619,143,424,585,212,303,534,806,046,671,953,539,087,720,
444,888,106,380,838,820,249,749,121,291,480,996,134,546,825,713,103,461,584,
980,924,895,577,203,188,715,572,156,536,532,817,613,322,940,369,891,038,633,
749,313,214,358,949,432,283,959,202,616,474,359,669,650,001,715,605,078,438,
144,413,353,926,906,213,259,984,718,859,106,041,889,976,074,722,691,036,931,
789,169,143,340,075,981,258,702,935,271,019,746,576,986,737,452,274,685,185,
936,804,219,095,765,437,926,638,288,381,183,972,461,307,201,623,229,649,856,
815,942,303,324,237,542,992,853,241,946,048,359,665,565,477,999,624,401,804,
798,811,182,421,624,485,621,431,964,016,181,406,964,528,442,877,587,160,006,
021,193,073,173,250,980,202,362,337,174,556,423,070,740,086,231,403,385,732,
731,076,522,627,379,766,449,811,339,685,874,563,034,257,536,505,914,419,567,
687,977,926,019,799,619,176,359,831,109,628,799,549,858,634,660,609,386,986,
996,323,042,753,913,917,125,628,122,091,612,605,063,715,659,260,475,829,570,
711,591,584,906,749,671,090,180,132,043,411,317,040,304,043,578,711,499,575,
570,422,601,336,451,776,543,541,554,233,787,846,093,242,637,457,134,351,870,
229,568,689,536,778,382,122,452,705,849,868,115,830,220,759,205,990,068,503,
191,527,618,398,999,628,645,280,802,126,276,887,463,947,941,064,597,830,906,
094,779,507,812,831,329,857,818,263,475,356,561,439,293,349,501,972,094,008,
419,023,326,705,777,210,118,806,511,688,083,748,675,965,213,617,428,333,650,
639,964,690,654,062,731,613,905,008,178,380,214,246,953,018,431,274,232,458,
509,597,732,975,094,978,018,389,904,872,459,416,246,873,841,648,300,557,115,
632,773,427,575,125,520,398,464,036,900,579,385,985,751,224,777,399,169,333,
254,073,073,133,115,597,165,650,821,124,500,533,800,406,943,130,980,314,155,
668,073,712,883,568,599,971,647,471,279,753,263,266,587,277,798,961,693,735,
468,450,791,259,834,246,170,022,595,604,203,398,336,040,047,129,870,685,725,
775,123,120,441,503,704,218,646,079,150,927,665,449,289,802,323,348,568,508,
588,695,651,494,085,729,844,136,020,646,735,580,997,707,660,353,697,706,681,
923,623,568,508,675,885,760,215,589,002,714,800,398,133,593,282,047,820,344,
060,870,436,536,648,690,531,910,898,651,395,699,925,952,577,756,642,545,127,
701,452,313,701,363,430,706,878,746,571,807,486,401,474,535,074,657,435,263,
842,659,443,437,213,146,010,490,318,184,220,573,561,970,306,491,136,994,044,
788,469,416,282,073,327,716,799,927,317,495,997,592,637,935,148,258,716,023,
265,456,530,382,988,680,224,487,539,981,673,520,803,762,543,299,678,075,820,
612,415,495,262,795,364,798,072,495,113,451,897,872,668,866,860,821,894,431,
662,188,085,912,529,285,773,634,446,532,065,370,390,207,365,872,907,104,676,
210,562,958,379,198,246,901,079,932,189,261,164,402,063,031,113,972,717,944,
226,153,069,194,846,848,587,754,935,793,714,492,203,218,863,745,328,861,204,
533,398,377,641,247,591,303,290,373,223,478,123,711,799,670,877,895,443,371,
014,763,647,394,175,378,734,966,054,367,573,220,236,552,256,922,525,586,827,
916,857,255,097,292,201,334,634,022,507,137,660,636,558,774,906,912,702,964,
562,022,028,155,902,186,986,529,836,382,993,902,106,142,259,673,365,398,394,
537,022,713,039,034,368,572,090,124,500,389,894,671,378,718,922,800,193,011,
669,413,627,049,005,663,443,041,950,876,576,265,240,782,782,756,653,975,119,
911,111,051,017,053,555,498,817,343,626,118,117,212,019,966,128,274,240,695,
133,446,522,416,092,380,065,446,329,632,533,310,446,151,188,449,665,634,136,
001,321,780,294,020,961,644,005,137,136,883,016,923,886,203,220,890,439,942,
426,394,144,310,160,021,324,973,143,505,305,932,921,385,102,024,699,217,214,
174,467,289,928,499,725,750,259,060,994,979,261,632,974,730,907,590,866,403,
232,449,648,694,274,455,887,040,822,783,710,955,354,300,963,716,205,488,366,
935,283,143,220,845,683,534,555,097,473,295,259,090,176,209,838,991,286,401,
162,409,202,526,718,167,833,994,695,630,099,012,665,039,904,632,853,318,389,
509,231,295,421,473,014,150,487,524,121,423,981,602,195,641,349,569,958,893,
844,397,357,482,943,403,308,066,278,277,951,559,909,558,562,525,158,704,151,
229,042,246,189,174,587,056,107,682,273,320,646,253,367,727,219,856,704,694,
924,352,954,422,779,403,639,980,214,557,753,847,593,936,187,560,575,255,541,
003,130,696,133,976,627,130,489,382,119,413,197,381,152,979,147,033,002,028,
441,972,300,435,366,792,376,066,958,216,340,040,028,245,747,339,624,785,829,
968,823,295,270,065,466,685,750,774,735,675,715,073,074,114,437,225,747,895,
525,607,290,390,168,444,985,983,936,780,850,269,696,457,339,919,322,072,585,
595,942,886,715,515,538,919,609,400,765,571,870,162,382,458,603,754,232,774,
898,827,450,959,699,247,631,254,904,563,043,873,579,210,511,436,660,588,278,
930,039,810,103,383,990,762,102,789,301,899,422,792,132,504,159,772,794,117,
861,526,277,029,423,683,793,395,338,552,294,991,282,184,529,724,659,427,103,
658,158,801,647,332,301,744,606,067,044,646,702,862,842,344,818,733,734,675,
384,669,592,850,840,657,347,608,148,913,411,335,572,874,175,261,015,068,577,
011,023,613,178,649,606,331,314,548,988,673,854,406,412,007,331,248,380,781,
868,169,971,912,119,181,223,120,162,531,934,226,840,457,956,832,296,593,320,
690,838,204,937,789,281,931,458,159,325,432,983,201,652,910,104,475,840,585,
438,571,052,344,552,933,071,185,221,536,364,859,566,844,495,452,780,237,378,
872,478,657,006,476,560,045,145,429,685,315,564,936,575,936,771,507,527,414,
713,045,998,165,516,928,772,734,973,620,183,231,793,456,708,833,960,969,454,
280,909,920,708,681,721,322,634,898,312,548,799,842,124,601,978,135,675,125,
915,319,040,819,333,551,305,208,134,203,204,145,554,167,121,474,437,874,970,
628,662,282,016,033,221,894,795,867,410,727,543,982,775,374,753,388,727,183,
187,592,366,107,626,112,646,807,807,495,429,495,023,794,990,196,867,122,646,
793,058,892,967,343,380,300,578,471,081,364,364,704,690,287,856,135,961,236,
363,937,600,229,915,947,073,643,448,684,877,835,909,908,054,402,213,724,446,
669,271,241,215,108,608,284,227,649,211,342,208,713,686,889,846,621,920,918,
636,449,269,111,196,522,854,816,267,428,947,624,441,364,918,602,077,415,591,
770,534,574,353,406,682,561,657,435,280,087,350,199,543,907,760,562,832,881,
406,425,535,957,953,200,050,356,859,193,090,345,597,961,355,357,050,820,209,
944,276,163,474,287,902,876,935,333,392,405,637,857,026,540,045,725,304,522,
986,839,677,089,483,770,622,262,250,126,525,916,400,533,960,491,480,134,902,
462,590,997,647,188,239,699,855,938,123,063,357,021,320,496,277,940,881,932,
138,020,279,726,454,691,756,946,326,053,406,435,795,604,964,006,345,997,912,
032,812,898,843,888,763,708,414,819,982,608,768,392,372,703,762,697,634,017,
812,884,499,806,500,235,042,050,708,881,819,548,306,827,512,787,647,848,084,
899,462,661,782,794,432,410,756,296,450,024,682,306,902,904,140,554,933,819,
957,497,731,083,981,428,084,545,434,827,798,950,752,104,805,574,327,382,385,
781,455,387,811,943,839,296,129,780,635,999,510,942,964,054,155,798,917,959,
384,486,778,897,503,878,492,946,811,115,719,537,530,586,446,092,375,072,549,
857,084,411,768,140,492,804,861,207,843,021,623,763,806,465,012,342,983,839,
329,569,425,993,902,905,462,843,902,904,637,382,893,979,239,477,152,019,530,
614,414,631,446,803,554,638,318,980,585,172,679,377,229,923,766,769,235,830,
544,650,344,347,093,832,365,302,686,093,156,824,031,562,141,501,141,119,266,
316,708,457,252,570,561,209,534,004,585,170,641,698,074,839,156,736,139,002,
102,284,739,118,561,153,778,221,890,757,420,461,188,026,181,619,378,651,210,
905,358,789,832,288,403,778,680,105,403,280,444,535,404,433,631,463,553,106,
189,961,084,397,828,289,829,685,393,454,975,597,901,182,841,801,772,719,121,
768,936,925,729,346,344,293,507,805,354,461,134,218,808,048,349,524,065,977,
062,007,986,513,282,692,195,900,279,539,678,241,529,740,877,466,513,251,748,
912,289,752,482,860,823,790,207,631,199,883,120,778,688,312,102,427,212,113,
063,580,382,586,115,589,852,051,890,875,067,508,608,075,698,484,526,174,482,
488,512,260,881,620,474,205,413,111,417,387,207,781,423,363,069,219,090,243,
375,639,576,753,955,237,904,679,193,448,809,828,978,077,337,966,403,855,322,
330,715,512,440,295,490,780,487,953,767,219,552,286,218,685,085,678,087,148,
394,146,945,655,169,263,320,861,492,490,955,253,847,704,737,981,662,278,989,
236,446,884,503,668,067,885,316,242,728,391,996,407,494,209,688,576,478,982,
991,185,442,183,875,463,235,281,647,726,128,728,952,001,878,336,911,366,957,
050,707,236,259,371,809,133,243,552,319,840,497,252,195,875,368,835,689,043,
480,310,042,152,784,727,327,109,787,130,701,228,725,863,738,706,812,444,829,
634,418,450,607,667,738,793,084,600,207,231,783,056,787,660,055,067,818,479,
301,873,693,024,381,180,456,673,281,337,488,497,430,224,836,714,874,426,101,
498,662,052,455,152,340,536,701,342,337,252,830,052,095,532,665,298,663,003,
953,447,254,415,509,029,749,612,099,431,701,018,335,572,282,366,707,123,456,
571,212,664,561,802,549,838,371,777,986,017,406,747,172,894,114,009,234,998,
330,066,911,431,825,648,178,192,504,887,225,747,581,303,645,879,360,847,110,
277,584,906,107,899,059,576,601,208,166,626,441,320,545,477,784,943,042,498,
004,316,782,722,008,187,311,646,265,295,625,926,918,002,352,422,278,610,850,
355,129,902,606,560,787,748,513,255,829,539,765,493,564,902,399,824,514,790,
486,153,362,555,841,653,142,056,680,706,049,297,258,735,227,589,055,968,469,
662,524,367,644,947,426,837,484,177,966,507,592,890,389,163,524,207,729,331,
779,470,687,578,571,248,709,407,042,585,632,609,156,959,178,230,450,984,786,
907,492,548,938,573,005,250,133,857,607,694,242,743,535,812,790,262,087,655,
514,531,181,701,234,085,309,086,669,742,344,209,713,455,252,868,047,424,052,
974,010,911,281,286,555,482,407,214,762,481,369,326,240,361,379,831,181,179,
414,953,622,066,290,410,847,375,709,633,120,271,818,693,045,075,092,537,367,
003,002,981,535,639,211,668,168,878,500,716,829,652,033,940,850,009,739,016,
544,011,142,287,292,367,555,097,646,273,072,268,649,692,310,252,330,851,998,
375,653,260,341,627,529,148,110,917,721,507,666,645,959,427,256,513,243,132,
893,746,781,106,770,259,423,224,329,321,238,282,524,868,115,631,600,089,735,
847,219,807,056,192,445,941,899,056,137,553,371,773,108,423,765,600,036,836,
731,393,101,303,390,689,777,958,420,405,059,468,014,593,700,563,147,758,725,
878,886,135,919,415,908,209,463,685,459,904,706,122,690,943,131,179,020,827,
193,509,164,192,305,453,385,191,358,886,802,714,038,043,619,919,933,447,994,
436,498,784,079,121,025,557,281,970,956,132,790,131,014,794,054,440,963,725,
717,573,430,359,222,840,249,839,872,735,202,142,595,419,863,967,441,654,870,
062,283,418,789,778,849,225,165,560,484,828,814,212,483,130,350,093,202,440,
594,441,833,365,940,522,828,562,513,590,585,302,916,852,973,691,735,954,696,
690,090,386,170,428,274,776,665,219,838,503,768,352,384,824,316,504,172,723,
817,162,287,187,996,181,589,843,183,591,946,890,754,263,695,255,107,698,851,
950,345,617,160,886,141,525,393,570,598,166,153,319,743,862,464,890,554,421,
698,838,640,445,541,923,788,892,302,846,797,937,711,019,187,395,757,471,119,
944,686,409,168,987,350,257,903,541,102,878,968,769,344,231,047,120,018,447,
801,350,147,696,743,377,580,720,523,433,108,464,081,784,970,134,900,617,980,
742,345,432,730,199,568,215,754,112,793,801,128,334,762,014,812,508,118,120,
930,240,217,534,256,972,946,550,263,544,004,861,347,613,347,565,442,777,732,
810,235,066,953,884,047,607,321,100,568,165,786,540,463,900,586,930,218,107,
034,688,412,665,150,921,211,585,874,636,521,348,803,246,883,715,948,987,817,
190,178,898,872,131,684,539,412,334,222,362,189,482,166,124,222,510,846,011,
587,064,597,166,077,564,975,854,242,714,314,072,437,450,218,412,686,426,725,
056,004,591,826,897,868,317,379,641,141,017,416,145,987,380,815,695,879,718,
827,262,348,663,016,106,012,886,331,803,481,586,909,402,663,110,226,520,600,
685,093,285,572,561,347,310,120,772,591,429,023,106,050,288,459,707,977,394,
154,701,557,130,061,994,979,417,338,849,952,537,271,742,372,457,989,019,127,
225,589,516,712,024,869,244,903,709,438,631,683,010,793,774,539,087,143,043,
356,964,957,059,623,094,215,935,516,740,061,051,030,150,522,600,937,595,701,
535,404,539,922,170,510,051,988,308,825,205,299,434,010,540,959,078,732,437,
748,359,565,423,456,447,272,671,269,263,451,389,600,445,995,036,335,088,275,
736,039,814,835,580,945,662,849,922,237,754,223,957,282,762,833,244,799,475,
047,061,224,711,795,600,941,481,995,500,135,896,020,165,777,814,910,241,320,
253,919,874,503,422,701,719,243,597,637,291,911,519,848,807,660,647,532,064,
378,404,787,450,175,786,445,353,585,931,302,725,097,909,487,726,609,151,791,
858,747,030,360,801,893,686,328,739,325,487,790,315,320,321,194,197,854,678,
064,320,200,811,876,890,789,530,129,915,816,215,847,449,210,368,015,162,010,
795,509,714,069,446,933,467,833,067,860,186,347,959,404,053,838,769,753,934,
123,964,944,618,259,596,825,538,085,991,263,342,985,857,521,267,219,024,367,
847,364,246,856,196,083,614,284,738,758,959,364,876,257,166,018,703,384,247,
497,797,287,148,079,743,490,447,179,924,947,339,928,117,226,304,682,980,921,
275,449,989,372,688,346,767,162,983,781,851,343,975,654,060,601,632,266,180,
703,660,971,627,090,873,679,290,915,899,928,108,224,500,385,801,017,955,873,
432,915,046,114,663,692,456,513,254,260,010,752,685,415,979,219,246,022,326,
730,056,194,583,598,653,074,112,395,074,136,242,864,496,868,226,736,593,212,
415,241,526,185,222,073,254,458,221,790,690,167,797,138,739,875,515,675,163,
541,943,708,346,779,908,185,340,258,543,173,642,246,587,123,897,747,960,514,
012,441,253,441,055,724,372,639,271,443,165,326,254,060,343,074,189,714,286,
823,418,594,174,981,079,749,458,632,915,048,002,222,989,719,736,938,155,921,
211,028,330,094,617,228,994,028,392,207,940,673,280,035,633,518,831,462,771,
140,914,427,576,449,824,302,462,429,574,455,825,507,191,612,579,831,447,752,
342,367,019,729,332,486,911,093,656,283,303,460,025,817,624,524,868,486,935,
396,867,437,520,414,750,043,002,075,606,794,235,534,244,876,851,351,182,267,
189,485,029,947,640,383,291,438,344,109,980,188,965,693,867,000,843,763,991,
231,095,082,576,169,523,831,883,067,041,753,444,266,346,273,717,176,677,514,
280,817,008,680,551,427,091,583,833,918,688,792,795,131,695,205,781,013,973,
134,172,400,426,465,584,014,528,747,853,336,881,826,152,795,168,980,901,708,
054,002,943,358,239,682,432,505,376,875,420,942,436,997,729,528,741,004,371,
257,602,794,438,676,150,350,735,851,645,136,271,119,926,528,123,942,527,200,
663,052,986,789,033,478,116,370,126,805,900,783,320,708,029,029,395,931,437,
988,245,324,675,253,558,889,206,072,060,536,338,398,850,618,297,096,703,985,
842,773,957,737,373,064,058,749,917,942,236,151,334,804,533,238,521,297,772,
731,911,640,997,543,213,413,118,481,776,287,047,417,116,007,477,342,213,586,
229,559,652,826,120,235,973,949,456,844,020,843,842,809,676,486,678,743,449,
590,232,326,538,767,015,795,052,900,651,680,396,210,973,629,844,825,050,315,
253,519,546,297,834,372,460,904,728,838,689,786,775,027,883,021,563,685,042,
422,590,226,301,959,601,052,436,275,640,485,359,068,087,198,883,783,182,544,
873,934,077,495,215,884,438,938,911,498,508,502,846,281,022,231,962,295,292,
426,221,296,287,748,495,442,064,390,696,046,940,816,546,618,992,113,208,963,
721,440,909,002,162,257,863,892,640,807,477,926,032,489,465,791,088,460,472,
828,836,121,386,752,847,112,916,479,611,274,448,542,147,741,859,339,242,517,
221,372,864,559,058,907,854,084,798,751,858,488,782,145,240,807,674,706,283,
685,470,434,519,100,097,956,340,025,086,367,602,392,330,441,221,209,792,192,
706,515,489,424,679,986,810,918,622,790,716,320,880,493,425,683,839,529,719,
611,860,367,307,413,688,715,804,079,182,637,786,904,898,415,039,390,231,413,
908,506,612,928,070,819,763,312,128,517,773,784,005,753,809,847,999,538,359,
623,383,189,887,784,651,641,025,404,559,574,792,199,514,972,023,198,649,279,
403,701,503,060,766,027,803,152,823,325,419,010,887,011,507,872,937,335,058,
796,454,557,654,245,872,459,704,106,829,793,740,209,936,844,508,745,244,100,
447,311,633,073,179,992,004,309,533,819,453,886,202,426,566,765,397,435,831,
853,341,254,972,184,940,998,678,494,977,046,219,117,762,920,498,690,180,067,
437,071,335,730,643,574,383,185,457,935,602,843,320,767,703,098,598,229,138,
667,446,349,913,483,861,817,599,615,769,285,266,701,822,150,625,405,624,792,
496,839,071,422,797,000,676,262,397,671,182,151,231,641,280,423,518,956,510,
804,576,280,104,232,267,453,656,352,815,904,064,777,442,927,943,612,446,642,
117,373,459,940,160,562,497,378,283,374,175,479,117,954,377,582,120,083,827,
007,642,818,204,790,786,986,684,343,965,249,752,560,522,558,603,095,085,968,
309,128,546,056,860,932,822,097,794,836,165,175,686,209,629,830,275,288,139,
174,607,778,889,850,933,868,359,683,325,547,601,949,685,159,300,524,980,971,
622,844,678,783,238,470,054,009,149,019,700,551,186,886,842,099,242,672,289,
566,146,010,438,892,814,425,574,812,918,114,197,935,611,011,983,197,813,402,
008,508,752,313,129,719,154,869,222,414,877,046,790,482,028,838,707,848,397,
193,634,226,408,346,834,740,190,443,914,010,700,106,728,535,904,060,094,606,
345,860,834,298,526,376,719,394,493,475,544,107,738,478,957,753,886,130,781,
899,385,910,717,241,379,442,824,102,982,136,700,615,994,758,782,165,922,303,
910,680,910,785,202,676,532,564,201,638,710,267,522,293,132,028,820,972,555,
533,235,723,636,967,069,999,289,076,782,032,687,110,808,738,258,729,164,730,
335,375,977,803,865,487,802,064,208,237,869,505,961,428,738,337,590,720,109,
513,603,067,095,179,681,108,269,713,514,670,474,355,411,485,960,622,033,294,
836,287,091,352,165,448,608,051,673,984,754,685,135,407,309,473,049,126,259,
733,756,914,666,463,217,306,552,901,465,495,422,043,757,609,944,704,528,134,
648,801,677,515,350,905,191,445,624,266,505,262,159,327,382,805,879,852,694,
615,460,092,617,888,124,302,791,810,873,405,235,827,537,709,820,878,958,886,
734,031,869,494,814,903,070,546,447,645,456,940,426,333,327,035,493,968,688,
965,755,587,717,235,177,363,841,152,307,432,541,424,985,742,216,935,980,372,
469,194,771,688,889,787,818,680,159,807,161,047,916,035,439,132,016,073,127,
578,766,267,904,275,799,583,172,569,745,978,799,585,415,683,426,279,224,265,
920,451,341,229,833,601,966,397,645,747,498,734,643,680,428,918,284,963,626,
848,673,875,440,448,103,621,177,278,326,026,347,665,699,379,948,547,001,657,
988,174,557,380,450,809,839,595,447,954,109,833,246,249,107,700,501,379,467,
995,114,675,479,683,931,316,659,418,862,840,596,045,968,510,228,344,826,248,
344,571,875,048,545,742,531,648,669,546,837,627,875,372,429,675,298,199,678,
294,898,369,056,229,859,970,125,836,163,045,213,526,720,035,934,451,993,356,
759,959,339,190,316,318,453,817,653,241,515,767,476,929,062,110,348,130,201,
244,346,528,875,302,695,588,953,416,815,457,449,216,408,351,231,874,971,984,
867,263,827,919,810,360,272,736,667,106,735,086,260,971,732,648,055,124,769,
788,125,642,009,092,232,252,756,336,207,401,272,421,362,608,121,262,309,871,
679,395,642,609,710,529,905,259,058,917,455,646,422,035,519,050,965,418,879,
206,485,977,175,069,773,294,075,050,110,226,916,916,043,575,599,372,599,344,
360,029,172,158,218,758,504,208,465,407,801,731,894,013,008,412,786,368,796,
455,512,619,356,291,694,275,599,789,415,170,805,648,545,408,058,474,810,665,
280,581,375,429,851,775,950,987,270,099,713,985,857,924,187,848,853,559,303,
026,974,346,064,977,395,028,778,763,731,543,198,233,461,598,749,097,701,493,
674,299,600,858,161,170,773,549,549,823,660,826,693,436,038,828,546,036,312,
603,698,731,264,347,595,877,856,526,906,663,082,350,955,319,343,681,642,962,
413,651,858,245,640,667,692,427,984,465,486,221,141,670,300,287,342,787,156,
164,228,581,652,932,948,337,850,457,845,313,767,465,755,305,790,206,173,192,
998,719,343,855,690,537,905,368,583,424,189,271,201,226,416,529,005,870,255,
422,919,588,972,410,039,843,524,055,542,497,492,336,149,336,513,258,568,167,
218,410,715,763,841,960,573,670,597,898,273,437,911,921,672,812,137,974,952,
923,195,317,436,370,498,567,201,886,566,798,836,161,958,705,010,179,111,562,
031,445,309,868,165,622,745,392,155,410,263,873,723,400,444,708,263,875,097,
028,919,587,833,941,321,625,402,769,343,406,802,500,919,281,991,557,503,476,
517,328,424,201,468,731,267,607,029,720,831,995,279,759,931,165,730,044,304,
382,192,173,421,510,058,368,671,281,334,386,282,235,608,009,695,726,809,098,
606,859,230,286,962,657,843,729,710,958,273,321,898,191,208,017,736,813,625,
498,940,400,572,378,942,017,125,274,285,057,069,871,833,321,251,706,831,501,
033,129,468,839,051,468,265,901,272,168,016,497,560,071,227,536,279,000,553,
837,912,014,387,056,554,985,869,983,991,999,987,313,221,045,751,869,618,924,
900,459,904,944,551,772,006,532,523,521,454,497,197,909,575,585,883,932,910,
495,075,061,351,560,051,893,757,283,300,322,756,034,954,796,192,179,441,952,
149,678,064,171,534,504,283,994,564,415,349,814,514,593,604,395,709,140,470,
250,652,559,220,313,055,899,172,337,455,850,353,784,476,477,943,233,040,804,
961,203,722,634,868,701,167,843,760,430,970,902,244,752,024,442,762,961,855,
533,965,142,498,054,544,500,175,845,681,517,925,247,113,047,804,346,230,914,
142,229,876,767,708,918,182,906,157,428,919,709,505,193,621,342,121,015,331,
745,947,631,019,414,937,167,265,803,042,140,903,456,998,107,781,781,744,891,
615,226,353,168,338,874,755,236,595,192,417,120,308,765,879,015,951,569,828,
958,023,653,887,145,159,000,438,066,676,504,542,892,228,793,945,875,478,507,
172,640,020,970,289,956,476,399,672,476,741,320,847,317,832,821,577,513,703,
756,774,465,829,678,285,413,459,613,405,206,771,439,758,329,163,523,416,311,
663,817,739,236,360,850,145,246,984,842,934,845,112,225,861,196,031,962,406,
745,034,085,468,986,127,921,235,244,041,534,129,248,919,147,544,103,152,029,
591,287,501,013,587,526,849,739,265,166,565,204,740,505,811,618,820,128,304,
659,405,638,345,046,537,288,335,067,832,507,412,877,630,264,050,599,033,247,
747,902,973,393,149,456,315,376,055,002,751,768,578,551,619,615,529,409,823,
679,591,888,302,367,066,356,272,678,372,436,547,897,841,223,005,271,343,238,
509,727,400,805,681,712,968,338,063,999,750,010,178,925,343,170,620,934,905,
990,546,425,205,825,309,631,221,622,724,143,941,356,272,826,272,187,688,745,
369,932,900,357,705,395,411,118,192,676,656,907,140,130,035,068,152,428,498,
679,647,250,432,737,683,659,533,839,464,287,121,829,833,106,536,093,129,068,
238,813,311,654,192,276,134,337,365,591,582,365,464,636,155,493,668,997,160,
029,504,719,384,293,133,699,961,719,229,706,050,563,243,860,305,630,209,708,
242,739,071,925,707,685,244,527,694,817,082,677,529,232,394,540,155,936,700,
972,830,823,544,095,168,087,273,210,454,998,434,063,402,942,044,900,346,691,
330,085,612,086,168,217,233,802,671,418,576,548,669,751,858,694,973,321,925,
240,527,874,125,823,000,049,559,084,658,055,443,716,407,958,452,319,472,428,
459,567,660,035,370,408,667,924,529,511,081,212,676,293,932,350,488,794,000,
606,779,838,654,955,815,946,685,240,656,451,056,783,014,582,509,800,211,233,
795,969,650,952,003,181,480,578,302,823,665,012,871,312,281,920,335,680,913,
311,979,019,342,632,440,715,956,188,960,043,573,244,717,657,705,625,544,135,
260,330,674,025,941,220,144,024,502,245,597,762,252,639,356,062,912,291,503,
789,777,537,784,865,211,882,457,765,597,146,084,156,942,694,068,536,573,957,
292,307,917,657,367,508,481,398,496,865,698,248,209,325,607,555,402,245,142,
221,351,305,753,164,527,140,989,177,339,824,429,142,294,625,590,088,457,602,
494,891,470,615,471,029,201,808,380,592,089,314,408,991,868,493,334,216,908,
198,363,370,977,291,748,251,485,871,068,921,041,828,121,553,478,769,687,567,
739,384,186,405,763,430,256,156,920,500,235,818,258,350,860,212,188,232,473,
939,920,211,096,694,841,724,401,454,536,347,425,363,204,163,437,777,675,578,
217,567,541,386,423,173,595,784,618,989,042,179,362,129,954,584,588,357,591,
788,499,988,543,684,465,917,840,600,891,118,717,188,839,247,949,006,239,703,
792,345,949,245,108,630,918,624,106,425,203,718,624,179,124,717,928,143,989,
598,650,627,471,784,880,456,738,184,770,971,045,434,282,782,315,174,432,810,
716,602,727,640,946,141,483,548,673,341,245,292,200,223,887,018,693,879,929,
292,332,949,092,296,623,352,676,949,163,921,348,127,630,042,402,351,345,030,
812,225,768,658,732,175,579,115,578,049,556,394,949,300,039,109,287,700,558,
571,166,379,605,515,433,588,462,039,334,355,078,560,289,976,428,425,662,481,
004,031,695,718,029,045,221,786,223,499,050,763,697,530,390,067,563,948,513,
650,155,875,821,279,431,061,272,660,049,105,008,250,521,306,410,596,957,326,
122,650,671,642,893,150,668,398,333,329,846,586,749,049,859,825,269,613,516,
952,136,246,987,886,805,575,576,209,988,115,476,900,683,383,422,637,927,022,
257,796,537,020,579,579,725,600,471,495,209,729,070,431,389,944,411,585,711,
442,747,308,499,027,558,821,916,969,966,135,582,744,639,685,991,012,646,827,
628,463,254,484,251,332,387,200,441,194,863,889,035,107,516,760,071,689,900,
030,674,223,238,319,731,774,844,575,390,743,217,615,029,100,354,977,815,344,
260,803,394,400,482,621,163,494,521,568,284,556,680,108,889,092,823,233,557,
024,198,490,398,367,127,711,066,936,518,386,408,183,303,174,730,638,268,357,
295,322,427,150,038,340,242,765,098,003,075,117,534,153,942,540,378,652,846,
629,736,556,642,814,811,675,669,481,056,449,975,924,404,617,594,918,451,586,
529,301,147,769,601,909,936,727,936,292,201,739,658,241,496,804,750,920,792,
114,108,747,084,675,602,090,090,176,912,397,741,298,373,942,542,879,136,282,
893,645,763,410,482,159,989,413,223,514,140,345,970,487,909,338,551,314,288,
536,344,500,559,696,006,943,453,107,252,713,024,931,189,641,051,649,438,643,
792,446,621,869,083,425,374,427,266,260,450,961,053,965,933,098,720,294,285,
161,834,958,666,733,096,036,155,573,853,218,296,917,189,643,088,927,802,741,
335,117,912,183,732,224,327,382,497,073,778,346,037,048,769,029,617,510,961,
300,008,397,837,407,673,153,264,169,982,040,135,958,426,763,095,992,766,864,
258,628,063,015,623,508,439,577,804,759,399,582,684,073,890,967,040,337,104,
103,921,224,145,804,410,958,267,700,144,055,863,315,919,199,627,535,038,073,
220,294,221,489,973,574,006,674,157,054,812,466,545,535,958,739,850,060,983,
618,846,628,950,469,424,151,882,290,808,239,880,938,463,106,285,644,212,372,
746,948,719,331,122,040,409,738,318,357,256,863,806,074,739,744,237,053,028,
325,093,926,449,237,537,246,580,281,144,295,781,263,123,047,660,248,693,797,
642,029,678,037,130,421,951,973,686,934,647,279,763,652,479,110,289,718,844,
601,585,531,210,069,484,651,844,477,698,944,603,687,617,665,697,555,945,330,
156,962,014,680,042,032,175,762,261,513,327,692,088,553,208,220,284,156,600,
126,430,604,100,107,375,347,514,186,668,634,561,830,753,944,369,268,669,794,
723,957,203,908,108,334,724,145,539,301,376,115,960,909,479,022,458,364,214,
076,666,236,195,398,127,922,691,416,658,565,016,571,248,745,400,175,903,309,
875,939,190,769,585,461,059,164,275,297,957,524,501,730,397,548,631,984,442,
686,967,296,124,131,072,451,325,137,723,680,360,489,520,534,027,400,700,261,
106,725,231,193,770,222,026,306,176,308,176,514,772,871,811,407,621,809,782,
979,928,383,672,165,542,608,290,811,969,757,480,142,506,318,407,098,995,043,
048,255,521,995,552,020,561,265,466,821,198,607,143,835,877,661,918,755,066,
857,592,523,239,466,506,379,672,296,724,095,073,262,744,065,195,804,889,596,
870,559,702,349,575,087,915,733,775,362,885,054,303,117,370,706,094,297,423,
819,931,582,256,508,414,268,633,102,854,507,049,118,228,643,628,079,197,712,
495,921,967,430,790,693,782,431,367,026,289,680,251,552,784,658,976,628,196,
722,189,370,796,855,809,070,990,388,257,964,988,098,284,290,036,733,540,616,
582,360,728,125,995,872,215,783,190,453,711,944,041,180,028,136,766,419,090,
423,706,245,247,395,587,255,976,439,790,158,401,906,714,944,373,474,899,537,
834,741,401,292,825,198,947,719,534,362,688,030,117,750,590,716,085,098,887,
180,789,081,990,178,072,833,115,447,220,771,936,093,447,835,304,324,375,169,
380,927,860,891,179,577,669,627,371,287,034,401,281,742,833,003,032,010,377,
366,867,423,690,515,356,590,157,161,659,563,255,173,816,326,773,197,585,323,
686,026,347,115,895,772,612,021,355,597,695,038,738,463,882,457,251,250,022,
796,226,766,539,531,442,256,744,602,401,103,432,992,476,704,750,306,812,275,
231,701,643,864,477,617,252,527,201,590,735,591,282,417,140,294,456,681,180,
421,381,174,615,370,515,787,920,458,551,418,993,779,272,218,014,009,991,647,
665,359,023,809,130,981,284,594,569,399,018,061,374,725,300,075,579,465,290,
226,040,378,377,332,342,862,311,694,055,786,555,166,145,039,445,833,638,469,
712,936,874,993,471,183,784,105,763,436,448,304,722,326,441,072,723,060,716,
796,296,707,246,310,691,821,254,648,867,289,125,364,783,735,871,680,070,143,
343,735,373,906,989,978,712,197,602,747,607,356,081,626,125,473,999,048,498,
875,347,810,717,951,981,697,285,207,660,120,090,169,883,466,479,120,500,305,
292,686,959,530,962,060,463,577,551,771,243,393,229,500,942,372,310,405,126,
091,601,671,017,709,966,179,824,713,470,435,247,567,962,690,719,523,140,070,
309,122,967,246,182,032,923,771,051,581,005,927,211,112,244,102,019,912,796,
869,319,298,280,535,370,074,818,614,311,397,630,587,119,931,264,476,068,747,
465,557,571,843,482,153,433,517,275,370,566,598,807,289,238,263,910,872,024,
996,619,216,685,808,281,070,441,010,789,339,851,718,062,951,868,553,104,077,
979,626,291,421,996,785,802,117,624,521,904,033,059,940,704,412,701,707,273,
389,636,973,148,964,233,816,721,878,633,308,727,192,762,139,006,236,294,437,
299,017,427,908,522,671,758,034,166,856,802,610,390,622,140,530,927,696,924,
223,058,795,924,195,635,735,349,832,480,183,113,204,755,195,305,438,079,690,
012,362,745,719,160,871,268,101,256,937,239,486,684,725,491,837,534,119,985,
516,512,206,564,542,288,451,123,708,345,753,453,805,074,646,618,798,542,144,
011,566,405,416,787,462,192,622,850,215,549,142,419,267,508,136,919,698,612,
564,391,607,543,339,936,697,391,829,745,778,350,578,804,840,116,322,417,360,
015,391,122,059,747,241,742,885,166,000,106,511,389,214,011,340,203,618,750,
885,603,916,579,341,438,178,048,084,487,511,427,782,622,708,448,803,508,951,
289,546,217,552,679,901,267,601,484,445,477,359,199,640,858,100,718,862,662,
294,696,242,239,637,102,298,977,994,932,338,968,622,752,225,143,318,750,342,
203,187,959,799,701,118,372,431,762,253,878,408,894,720,244,305,189,374,853,
717,808,340,968,919,785,208,659,866,786,626,619,158,781,060,666,229,866,202,
554,978,004,806,851,514,821,933,765,986,623,671,800,487,089,075,540,925,391,
829,961,970,006,246,170,046,686,856,117,464,981,379,732,055,835,031,591,660,
817,291,331,662,538,136,834,753,274,916,795,005,444,818,858,340,971,539,736,
517,669,448,532,930,024,425,368,767,738,505,050,651,990,926,006,211,832,933,
415,537,644,318,664,614,133,935,368,410,829,847,795,581,882,099,214,903,553,
863,669,607,493,229,317,431,123,888,863,072,947,791,512,586,897,050,773,720,
653,702,882,974,314,414,698,044,472,034,533,561,284,520,390,456,064,081,356,
211,323,605,277,487,026,200,040,958,948,815,470,367,985,465,896,311,974,345,
159,481,781,141,004,847,917,409,848,203,673,736,008,069,913,013,306,999,921,
488,037,160,695,008,054,784,694,394,519,060,364,668,425,961,259,298,865,510,
804,700,217,808,519,687,510,684,934,579,433,213,434,902,000,719,258,748,278,
869,651,470,300,739,159,760,482,616,170,876,073,362,871,634,867,462,595,782,
351,757,282,134,013,364,319,595,688,936,699,373,721,243,959,605,589,755,898,
727,514,832,031,187,406,852,913,300,007,623,390,900,172,749,992,571,456,762,
998,957,277,183,221,310,851,876,797,141,228,768,806,131,829,709,570,346,576,
238,527,683,524,108,134,354,929,641,704,929,544,687,061,495,906,032,370,587,
190,914,622,253,846,213,919,892,907,458,674,459,939,684,293,351,997,966,827,
145,633,010,148,314,509,537,660,064,283,729,140,821,855,647,486,636,088,400,
147,283,419,556,502,154,568,494,626,812,845,086,648,948,226,476,824,323,296,
409,292,741,252,602,920,210,043,709,855,429,432,298,903,892,993,204,183,930,
826,775,182,449,858,844,055,496,007,693,945,825,364,300,625,216,705,572,178,
954,845,335,498,233,954,281,041,926,920,526,507,783,839,100,098,797,006,975,
875,607,047,119,530,745,857,323,463,469,113,001,584,692,931,274,721,588,153,
341,631,466,240,291,495,426,593,396,289,001,254,092,917,118,451,324,314,704,
290,801,953,386,769,467,910,565,117,991,464,603,224,461,997,570,157,337,656,
449,725,028,635,448,252,630,458,501,927,280,388,087,178,199,017,864,001,512,
527,868,936,598,105,764,956,795,114,059,379,985,408,786,200,137,826,094,282,
239,711,582,377,282,815,283,794,393,487,844,044,851,857,577,406,439,226,304,
553,522,297,607,098,088,759,911,472,136,965,499,353,791,044,136,862,595,643,
869,132,592,693,765,053,465,773,289,057,862,530,780,707,252,949,615,572,053,
758,366,798,890,795,697,250,096,453,571,501,295,653,275,444,912,730,686,415,
485,623,006,931,791,361,268,501,521,484,000,107,393,483,387,591,274,246,879,
169,357,121,049,341,877,967,698,057,799,078,731,561,133,343,825,192,265,402,
974,047,622,418,708,990,583,816,864,954,609,402,842,310,411,511,821,875,130,
089,908,511,916,434,918,592,629,134,566,000,898,843,908,215,248,620,375,890,
073,647,678,294,963,566,910,689,872,429,462,580,112,955,910,321,099,657,871,
836,990,244,535,523,381,410,920,438,725,107,725,816,778,012,909,225,076,585,
193,784,634,564,240,375,765,558,589,874,129,432,973,128,911,349,051,024,283,
801,593,216,677,522,383,295,359,786,528,465,056,180,747,611,240,298,725,069,
788,816,501,975,010,139,299,900,181,902,746,434,875,751,706,864,811,905,268,
268,181,591,070,674,097,550,425,451,995,594,951,438,602,609,205,584,227,287,
584,239,698,089,472,382,483,707,290,417,117,860,960,386,442,347,037,087,863,
559,073,522,831,391,265,302,009,000,311,746,133,034,309,347,171,423,023,733,
130,743,966,850,152,184,028,317,781,328,927,950,860,443,736,823,100,907,108,
665,197,348,954,318,057,898,905,832,475,692,586,204,858,708,880,570,134,041,
180,310,935,696,681,944,364,245,322,609,228,186,540,775,290,694,054,808,834,
419,110,190,349,117,339,450,998,200,656,739,602,523,173,441,695,385,015,848,
994,210,545,306,230,799,030,510,692,723,931,821,898,697,529,873,999,196,828,
628,952,792,979,127,877,759,875,715,817,563,460,794,134,407,954,105,966,038,
216,639,158,364,897,591,166,262,611,975,427,617,695,139,640,611,022,762,603,
968,236,512,162,214,746,579,772,646,667,884,371,005,447,149,082,474,642,476,
449,982,609,343,323,768,309,799,407,306,617,809,669,861,885,546,180,409,178,
904,691,348,003,609,505,052,497,095,932,093,192,114,460,871,401,710,774,549,
220,287,542,667,656,295,712,685,045,133,409,332,238,667,091,539,686,333,359,
355,251,913,681,268,745,856,546,146,740,046,881,037,351,060,087,040,371,560,
758,942,184,734,618,722,848,320,970,655,460,472,579,703,007,359,599,446,373,
494,002,406,271,081,756,705,555,317,125,140,112,557,527,364,098,531,072,763,
425,519,200,266,000,322,954,100,391,366,070,879,899,170,285,295,817,826,979,
873,483,432,678,216,763,291,453,493,646,800,944,542,806,347,889,113,735,236,
727,059,602,150,178,026,742,247,398,847,016,996,405,711,655,925,440,910,252,
682,166,577,092,967,337,774,297,188,918,595,235,557,512,796,666,026,291,275,
842,460,227,415,749,164,883,624,839,925,603,500,414,892,502,928,005,585,127,
727,006,523,697,227,375,059,307,356,179,561,976,139,050,690,421,325,904,112,
991,915,809,160,718,550,417,217,809,676,823,242,890,768,355,332,005,663,347,
490,955,510,926,501,722,121,685,001,260,008,194,275,257,733,385,754,018,063,
499,423,165,006,743,814,083,459,273,866,116,745,591,191,811,246,793,554,716,
802,615,884,802,851,886,865,497,571,216,845,325,986,191,214,146,084,312,717,
757,639,481,610,064,302,062,962,368,548,573,921,233,187,164,066,941,049,541,
463,068,640,103,475,899,805,976,849,949,892,418,023,585,297,338,266,957,124,
945,416,824,212,331,044,799,160,939,609,793,448,493,503,655,979,857,354,212,
401,855,452,361,044,173,005,936,055,588,666,469,257,885,322,196,722,708,601,
485,155,447,167,083,744,763,663,437,830,975,956,355,305,476,862,010,104,708,
344,328,049,192,045,624,095,737,902,319,815,506,199,477,884,276,755,947,252,
647,238,382,903,173,445,012,377,725,134,665,891,886,255,615,779,513,118,678,
018,104,907,567,249,541,662,674,152,982,304,675,644,935,639,507,963,328,757,
739,500,181,272,998,836,995,892,835,013,000,785,241,052,148,691,391,649,058,
995,172,612,394,629,560,842,629,019,635,851,709,632,593,248,198,167,182,662,
090,731,226,378,321,521,223,501,910,435,093,841,596,143,216,639,715,360,746,
078,140,381,197,311,079,795,507,906,137,324,361,247,590,311,970,989,009,970,
532,790,821,082,588,131,486,658,825,212,890,621,980,956,446,740,192,707,724,
213,920,414,438,526,178,484,536,783,385,389,145,742,225,067,383,782,918,823,
700,371,848,586,589,267,558,229,632,212,225,760,368,019,421,184,835,471,746,
547,968,206,432,926,400,899,900,053,451,359,937,907,810,551,289,647,357,034,
423,164,403,509,045,233,230,459,921,819,130,259,033,154,290,517,562,377,249,
421,893,690,871,106,295,380,949,133,909,411,838,394,639,006,115,104,239,822,
016,909,896,188,044,617,112,395,225,094,408,404,950,870,217,507,809,928,403,
247,859,359,830,895,248,455,332,500,767,128,440,184,729,337,782,387,566,174,
995,518,687,379,714,222,842,851,385,979,175,312,369,554,955,951,032,431,357,
140,201,374,835,827,783,509,855,467,749,796,283,772,442,395,688,809,570,930,
264,603,279,585,762,426,439,860,619,884,465,399,411,977,250,196,566,936,399,
940,643,138,363,297,330,752,996,006,797,700,885,400,215,192,790,809,698,606,
897,978,977,745,108,824,272,877,619,860,475,880,697,956,217,429,946,599,391,
317,997,516,506,829,316,876,121,122,477,172,238,557,275,751,898,928,811,028,
054,916,889,171,726,063,045,501,212,163,205,127,931,438,206,851,353,521,988,
873,679,245,039,751,837,170,665,895,910,139,507,698,793,037,731,877,231,295,
548,089,055,313,714,423,014,585,151,061,673,904,960,446,666,608,177,114,663,
159,629,697,445,560,727,731,474,027,803,509,461,104,014,735,658,901,479,976,
642,886,065,915,471,762,769,728,746,662,637,845,791,975,278,048,495,415,383,
900,180,918,059,549,090,465,369,114,911,965,426,304,875,811,194,758,459,091,
079,860,074,985,246,151,595,342,076,515,311,150,131,733,616,164,142,662,742,
010,105,779,765,818,081,630,980,473,776,968,139,056,963,190,889,185,850,960,
156,694,725,610,476,463,300,890,243,720,110,430,482,334,913,799,810,455,585,
991,652,338,429,809,335,323,674,407,303,032,211,073,457,093,954,214,690,507,
352,984,874,107,666,031,071,307,358,506,417,341,052,544,992,404,569,580,444,
613,419,687,969,617,322,659,116,972,527,810,977,158,384,435,350,103,119,063,
211,224,137,893,429,926,917,778,981,010,169,190,587,890,777,949,766,782,676,
729,840,927,354,663,519,737,323,658,991,391,210,393,399,867,862,879,210,276,
054,713,699,719,982,357,119,655,733,955,493,026,781,961,173,187,818,796,339,
410,968,093,366,907,595,927,037,384,311,555,133,868,580,761,499,556,606,462,
160,400,532,318,838,175,256,451,470,556,344,690,467,492,510,466,935,355,670,
746,540,905,411,823,164,909,548,968,037,957,255,159,063,799,046,488,370,242,
847,638,207,487,977,360,381,605,471,751,918,117,115,836,085,118,798,523,132,
001,211,940,374,848,768,896,486,541,253,547,854,106,293,318,542,012,407,399,
989,342,864,941,430,501,178,140,800,500,862,291,319,092,832,474,747,516,891,
224,038,897,886,570,984,257,926,700,285,918,183,160,035,388,362,982,055,152,
743,711,997,621,574,525,057,539,604,228,089,030,083,539,994,167,280,074,405,
035,256,032,172,889,629,121,075,339,600,827,430,048,039,252,191,436,253,847,
471,435,559,548,609,830,942,970,336,091,442,111,258,703,961,109,187,504,529,
435,046,989,912,929,231,329,704,221,853,640,947,029,271,784,342,149,674,784,
719,054,609,826,165,898,758,851,980,872,476,751,237,312,622,738,091,404,924,
395,010,722,447,633,888,987,752,358,368,685,187,409,421,620,325,283,993,264,
019,658,915,709,722,237,406,084,480,567,813,625,066,646,305,548,170,618,541,
637,169,192,329,650,540,376,003,991,415,189,338,151,305,545,098,964,002,669,
248,253,715,006,871,198,726,959,997,625,262,977,020,257,672,221,891,731,875,
163,777,289,517,115,495,077,505,130,828,169,709,222,650,896,676,764,258,110,
099,741,908,434,238,914,807,814,146,840,295,379,238,945,633,713,222,255,927,
731,113,383,315,581,874,738,158,241,182,888,124,322,946,153,049,584,014,523,
553,098,710,757,285,160,364,599,856,653,324,651,206,837,807,969,233,067,673,
481,478,331,805,597,730,953,473,075,490,170,648,829,131,266,318,929,779,388,
548,807,075,528,673,018,003,992,244,990,937,767,175,552,208,411,701,211,049,
141,792,990,041,674,776,283,877,005,098,478,667,966,212,457,984,564,456,801,
513,761,840,846,760,702,843,331,742,608,781,353,415,691,195,965,524,457,582,
970,270,629,900,251,042,475,062,490,144,340,744,510,951,017,443,463,409,524,
050,923,652,888,249,973,598,749,370,584,159,516,983,791,943,748,395,061,699,
307,343,708,341,661,333,730,246,300,886,390,633,192,632,739,373,027,885,605,
517,615,278,488,932,242,891,471,091,809,653,697,698,641,941,391,411,974,554,
208,934,349,589,767,081,325,348,887,044,375,910,177,812,615,291,870,581,302,
342,756,980,561,279,785,782,233,905,974,403,336,649,741,863,387,919,121,199,
222,001,232,039,726,833,388,341,537,855,203,983,369,871,157,449,081,398,737,
050,811,237,339,403,301,792,762,162,354,235,721,192,168,433,076,436,192,502,
279,174,970,892,943,634,811,923,485,591,477,493,683,510,300,690,006,760,917,
195,881,824,436,198,501,445,834,175,947,327,512,234,650,004,295,489,707,549,
597,301,898,320,937,668,826,441,488,578,743,173,489,401,153,963,980,422,859,
815,463,504,078,183,822,934,423,520,079,572,056,984,634,087,744,805,579,845,
209,611,385,152,664,386,261,133,434,227,513,611,121,979,638,070,415,452,371,
588,923,737,515,130,029,360,034,049,889,205,519,408,606,129,672,883,035,746,
393,748,662,527,108,380,807,651,733,431,255,193,219,247,567,359,044,248,894,
319,908,811,212,840,469,205,222,431,801,762,598,264,358,038,920,481,403,107,
875,319,756,382,204,181,072,524,513,017,956,580,149,581,575,628,672,748,895,
981,401,987,086,231,215,430,425,359,018,512,519,255,958,503,295,931,062,102,
062,492,879,434,764,666,981,344,222,478,718,577,362,248,008,217,329,324,956,
793,129,019,766,001,058,596,854,092,119,639,295,187,051,112,674,693,834,495,
769,262,061,447,381,928,247,322,553,604,237,459,168,905,846,748,646,646,763,
889,771,380,602,275,045,862,376,493,731,818,231,568,530,867,220,250,593,376,
228,331,419,446,460,299,332,097,530,433,671,313,874,032,920,141,172,829,645,
963,309,086,839,473,361,179,721,097,963,513,125,711,402,786,069,469,119,832,
052,674,455,174,126,045,388,487,425,063,139,529,998,292,423,997,729,470,072,
034,004,352,399,490,236,323,691,398,406,460,507,122,472,631,184,034,502,714,
335,661,694,423,071,787,616,528,080,507,696,273,107,641,625,467,489,086,326,
772,380,798,426,053,280,139,769,271,122,277,997,241,706,740,369,827,506,460,
680,755,813,548,592,530,682,216,874,397,837,497,605,917,216,283,971,723,108,
570,831,470,315,848,741,494,996,959,807,284,393,936,798,369,983,514,477,961,
795,980,515,545,565,463,339,669,221,254,296,834,126,526,419,069,606,520,483,
618,396,450,029,812,008,249,198,794,034,974,612,633,137,725,074,512,313,135,
541,565,927,962,253,001,908,632,974,203,459,416,035,431,953,273,628,278,335,
152,200,747,962,136,469,200,670,655,696,829,795,498,755,656,993,966,516,802,
538,801,081,455,964,882,066,169,944,678,312,505,764,017,908,807,281,854,005,
773,789,122,698,984,000,662,046,613,755,822,392,427,457,182,521,136,194,776,
657,243,400,537,144,654,351,055,702,323,635,232,846,756,608,362,095,973,834,
423,186,188,307,185,508,507,106,108,334,706,839,877,674,071,273,912,560,283,
547,764,592,477,090,461,122,892,758,686,253,279,604,088,849,475,562,173,019,
460,292,445,092,311,325,768,819,708,951,050,707,580,143,174,157,457,948,551,
116,334,649,730,455,314,961,730,922,047,385,503,015,806,324,252,087,093,613,
033,638,128,931,237,719,931,911,971,782,893,280,882,366,244,817,032,678,811,
117,412,780,350,803,080,048,999,676,730,096,419,317,923,324,556,383,409,735,
274,703,241,360,702,732,864,724,054,563,098,786,274,083,006,700,695,978,857,
443,618,747,542,473,351,993,469,952,102,560,378,562,541,548,513,529,470,839,
102,770,419,698,018,516,272,887,680,025,656,690,321,617,659,375,408,484,660,
441,247,006,242,308,519,274,450,696,107,478,516,183,091,941,144,635,166,323,
096,696,211,931,580,768,732,872,542,516,599,847,717,985,493,951,784,347,444,
413,249,518,280,751,521,220,647,583,910,026,842,317,548,680,517,078,458,118,
276,941,836,437,530,220,304,631,207,551,585,368,621,517,269,970,910,486,682,
618,030,485,577,198,667,064,026,133,137,527,298,461,738,884,627,206,574,017,
425,534,620,390,182,415,162,000,775,162,544,208,790,862,559,426,777,014,045,
283,712,861,138,675,220,179,356,963,271,686,791,848,500,053,333,455,881,552,
507,356,159,845,502,168,525,034,108,698,275,701,023,039,425,117,944,361,020,
108,679,969,117,781,663,089,084,038,042,814,228,790,101,463,023,748,026,072,
903,793,597,990,130,180,174,075,323,281,952,182,308,360,499,240,919,390,771,
166,169,895,760,034,348,014,835,045,081,220,359,277,732,362,903,996,293,895,
721,499,810,669,190,629,948,681,822,349,011,142,937,224,084,398,915,545,932,
319,252,627,378,894,223,089,923,547,182,715,323,727,150,490,327,757,226,841,
932,409,296,614,900,993,827,164,799,221,969,751,803,483,817,333,094,372,353,
492,283,694,860,665,916,260,560,869,687,823,910,775,803,496,707,200,831,266,
866,548,848,087,435,291,510,834,273,288,947,724,019,130,185,149,352,062,827,
158,438,394,274,859,423,975,659,528,922,903,827,651,845,026,946,247,477,093,
475,912,016,428,632,472,785,398,242,729,949,933,303,928,651,442,037,794,526,
426,616,792,769,627,210,097,841,416,181,448,787,385,820,913,431,354,437,314,
534,528,475,265,806,196,519,931,003,686,614,435,196,656,337,762,154,093,693,
615,436,816,988,239,802,279,036,727,008,821,835,701,431,868,853,703,988,136,
542,597,863,468,211,839,563,617,986,149,775,025,989,822,841,876,684,985,756,
025,986,524,316,632,301,272,132,372,572,958,424,529,527,626,825,958,965,109,
116,713,379,323,300,912,132,725,779,872,402,941,904,667,547,268,191,627,431,
558,468,512,596,177,228,516,627,268,373,269,563,875,249,997,789,550,440,567,
436,759,707,701,560,171,569,953,242,088,948,219,653,181,341,576,863,277,374,
311,234,123,817,756,008,909,272,850,721,806,139,538,322,820,696,176,053,565,
651,443,633,715,922,094,057,433,740,483,489,759,528,660,062,795,250,478,603,
719,907,109,063,332,130,073,065,280,380,628,143,743,680,683,355,356,570,030,
055,123,835,880,412,126,392,002,370,264,971,719,369,294,210,599,581,598,657,
989,996,627,951,275,265,775,676,887,919,720,108,834,941,604,895,515,232,376,
972,624,296,590,061,475,863,747,750,333,139,178,017,233,495,272,641,867,841,
089,413,213,914,700,594,735,642,995,904,075,834,548,759,152,601,423,327,179,
155,743,716,263,639,297,612,661,478,758,061,187,484,916,773,409,899,492,482,
409,527,615,344,198,367,765,782,504,644,197,724,057,592,194,508,490,286,949,
048,259,179,709,807,700,339,880,128,340,471,261,042,004,100,134,406,821,125,
130,570,606,857,968,317,941,058,886,411,139,836,520,103,529,431,565,786,013,
508,574,781,084,760,393,537,533,451,442,344,214,327,590,307,203,930,285,541,
091,105,610,266,176,957,063,012,977,471,311,518,155,990,791,014,052,502,052,
974,537,393,932,630,662,114,115,526,153,097,132,368,408,152,996,962,150,188,
070,107,008,267,799,579,619,743,906,458,393,298,596,457,341,186,467,090,261,
275,436,611,852,936,276,942,086,636,692,703,221,588,137,608,902,541,223,764,
895,407,396,474,020,020,177,009,979,077,196,401,089,834,764,198,533,416,599,
778,838,534,919,762,577,275,042,264,556,739,007,114,580,098,375,173,534,819,
148,794,230,631,549,429,981,058,435,422,587,416,477,072,828,229,272,380,943,
615,063,867,143,900,497,267,949,417,016,620,458,162,734,084,608,536,002,388,
246,459,301,498,182,624,104,184,588,272,954,166,072,744,691,427,904,287,649,
186,510,390,741,700,574,315,056,118,271,347,559,691,317,061,013,789,595,444,
125,539,818,732,717,407,054,254,778,562,731,093,435,416,479,435,182,445,187,
528,557,537,227,187,471,726,267,211,643,351,973,665,338,458,808,285,763,632,
854,264,279,970,447,615,741,241,845,883,545,602,199,565,618,983,339,918,079,
897,177,817,523,128,386,034,144,798,211,292,625,567,877,205,460,618,845,333,
266,616,922,680,151,984,198,918,814,180,926,476,227,938,106,567,841,083,189,
530,145,483,765,979,708,412,010,382,243,239,713,885,887,583,162,834,765,609,
738,464,775,568,515,333,606,342,770,771,206,288,766,507,179,396,700,429,847,
007,936,466,621,273,687,988,146,053,290,031,806,186,343,134,998,337,890,495,
957,111,567,670,276,433,575,108,986,991,444,899,076,441,043,452,713,873,561,
411,864,323,050,861,647,178,651,640,030,518,719,450,482,833,845,591,694,668,
781,165,515,817,548,024,325,522,574,810,036,162,637,202,614,350,219,272,863,
281,805,451,564,960,346,685,080,399,128,775,888,047,200,476,413,438,478,155,
846,426,648,444,980,452,206,054,678,473,655,611,785,451,616,137,718,360,653,
394,257,842,026,440,367,715,112,100,832,598,971,367,876,954,887,892,590,069,
583,644,780,840,384,800,924,168,122,761,245,540,888,971,050,610,681,072,233,
190,359,967,907,309,215,997,787,080,193,819,324,688,149,047,044,840,307,071,
755,683,945,025,382,132,830,177,254,113,284,063,361,438,062,822,007,565,247,
246,988,953,920,521,260,828,480,481,617,383,471,707,591,618,779,165,907,837,
767,524,465,361,821,633,805,700,062,358,276,391,786,009,616,475,782,182,245,
087,680,210,550,924,044,976,488,062,604,294,659,307,125,018,230,029,136,684,
520,239,121,538,076,770,010,349,959,850,386,668,530,004,949,623,577,382,263,
884,264,096,301,880,489,269,241,941,410,151,931,723,520,240,544,614,424,308,
455,036,038,893,196,675,947,166,540,579,940,633,368,717,083,628,269,648,350,
717,144,816,170,605,351,978,050,716,006,370,608,025,013,633,335,333,245,653,
566,862,138,495,251,495,620,000,049,122,020,862,517,782,745,901,222,732,258,
169,998,792,847,033,202,589,956,237,541,529,362,460,061,125,749,272,394,439,
701,620,170,299,594,655,515,028,623,197,514,910,881,976,736,512,277,030,204,
192,669,671,449,215,991,520,304,255,869,128,028,411,667,851,168,750,895,294,
163,898,644,126,427,016,584,502,917,167,254,165,296,718,254,173,995,472,227,
985,140,669,294,457,464,468,017,959,744,016,149,833,728,093,781,946,688,712,
792,750,039,624,398,962,763,033,523,273,592,269,638,746,724,515,130,604,157,
003,735,345,276,118,827,979,389,660,585,040,662,458,052,636,730,601,147,045,
051,023,288,341,592,058,794,454,170,204,285,017,553,179,798,038,238,782,338,
917,571,824,751,063,593,663,724,109,791,727,360,212,731,790,207,100,048,446,
887,059,616,577,587,456,459,831,411,702,349,448,544,145,637,659,573,688,411,
478,342,778,440,998,497,836,796,445,490,400,759,185,233,181,504,907,359,155,
197,915,767,214,160,532,404,577,819,889,333,431,275,535,473,302,547,155,283,
925,406,039,448,834,048,945,484,535,226,318,661,510,198,689,861,692,374,804,
767,859,067,363,219,208,214,524,814,510,857,486,249,483,982,679,350,719,478,
619,020,591,940,212,143,138,802,117,531,612,151,456,670,523,451,845,146,951,
260,919,151,648,977,544,396,784,839,097,142,584,492,269,766,846,710,772,089,
444,269,156,646,117,598,180,024,266,660,408,088,982,001,279,261,314,227,706,
869,634,023,053,921,694,226,932,441,292,463,084,813,646,431,565,198,237,461,
981,851,209,623,358,302,482,478,922,275,970,004,296,979,264,783,145,416,033,
542,286,537,043,460,591,446,465,531,902,362,803,576,979,325,674,453,361,827,
709,394,179,220,406,725,284,942,275,143,005,459,837,647,684,086,390,992,329,
178,740,542,196,139,968,250,508,816,148,129,853,378,961,604,635,651,961,780,
109,688,874,896,768,468,281,816,457,730,747,405,367,448,820,199,846,315,831,
665,495,275,645,142,734,113,611,935,599,061,617,794,169,481,802,624,767,908,
916,144,141,919,223,063,284,174,335,470,581,570,270,715,809,175,511,049,408,
773,120,821,048,775,413,067,720,747,709,265,422,555,891,226,922,654,008,185,
766,621,117,619,890,940,246,744,613,640,506,613,140,160,015,653,405,305,432,
000,655,862,897,282,043,285,808,704,903,710,187,484,493,501,846,880,638,911,
128,023,801,085,258,254,284,930,080,773,095,751,877,906,601,299,429,565,391,
935,430,565,826,903,669,103,140,107,568,183,030,132,469,438,238,350,600,331,
744,974,957,685,437,261,342,058,995,664,281,769,600,189,479,513,000,722,611,
684,816,127,990,941,010,660,186,741,511,780,100,879,389,598,690,415,982,932,
418,120,406,699,046,230,732,172,723,288,555,386,009,075,728,097,915,802,566,
655,851,603,926,120,423,842,683,216,794,710,783,384,388,874,233,681,688,184,
714,474,822,133,623,499,616,671,113,373,524,019,108,648,566,903,954,867,048,
279,206,387,928,900,963,455,891,628,897,614,146,800,674,999,258,564,929,458,
082,876,967,025,839,928,223,940,814,605,619,985,869,577,283,932,771,369,684,
196,475,469,422,138,599,730,026,154,654,442,851,634,649,462,900,623,616,946,
368,948,773,906,350,242,310,439,887,082,039,629,828,163,856,081,380,947,423,
797,133,111,896,943,437,985,636,373,299,811,853,027,602,071,501,931,148,256,
275,278,793,921,552,917,292,733,118,933,168,318,022,249,613,386,383,729,940,
722,441,185,099,350,793,796,092,592,922,587,833,174,496,333,779,088,147,011,
661,977,388,930,975,198,490,057,764,931,439,150,751,607,938,988,221,496,629,
040,108,042,156,174,607,202,792,526,489,582,900,552,889,954,573,514,237,812,
012,166,725,897,345,365,237,822,570,360,852,337,916,433,267,150,996,823,056,
613,778,998,941,661,804,537,797,106,960,629,198,427,675,799,184,728,894,532,
294,242,082,558,999,026,007,552,803,936,526,825,185,193,399,343,213,381,036,
067,594,314,390,055,224,209,929,554,717,307,169,703,534,735,082,945,824,435,
642,356,588,082,729,451,386,366,520,504,542,017,339,612,708,880,268,122,732,
445,534,515,523,963,964,568,243,237,201,121,674,623,272,485,037,421,317,537,
520,093,310,251,640,830,278,491,503,655,663,943,530,742,406,624,665,753,039,
453,029,611,741,439,606,121,277,254,338,643,715,622,093,175,223,141,784,351,
434,918,668,262,086,529,332,133,032,558,052,484,315,564,082,829,372,810,940,
321,190,899,471,426,369,352,229,022,657,648,935,192,925,999,604,115,677,440,
794,726,047,371,483,216,593,570,722,002,706,312,561,646,685,592,224,442,309,
243,597,696,241,560,410,261,694,921,817,613,974,576,210,150,261,146,946,862,
221,575,911,116,167,736,949,674,232,733,275,319,737,848,158,842,111,078,942,
833,495,759,249,092,833,120,570,513,001,535,361,965,041,503,820,475,829,668,
583,113,419,544,058,927,544,080,903,886,396,760,183,512,723,767,784,875,912,
417,665,347,032,205,155,431,913,672,145,241,017,214,840,044,938,459,897,607,
125,375,957,548,795,973,680,982,628,853,452,823,409,616,451,796,618,501,405,
858,887,141,253,069,763,675,425,115,670,577,956,005,776,259,802,034,272,218,
138,636,671,965,426,977,499,326,216,855,955,078,487,388,843,232,696,502,805,
738,084,084,276,113,050,288,267,003,097,065,927,088,829,713,249,843,381,482,
526,862,223,567,986,469,904,145,319,988,328,587,928,881,334,632,613,689,868,
768,935,298,994,597,254,889,981,092,759,374,466,845,628,317,665,445,411,180,
546,795,674,799,896,864,352,134,973,289,277,632,098,720,270,813,944,209,072,
066,373,283,038,609,231,340,394,276,356,656,057,411,152,291,052,438,391,319,
254,366,667,538,820,993,562,401,803,378,348,920,390,486,342,733,105,397,947,
288,718,811,286,256,073,956,144,028,849,830,409,285,052,234,848,664,655,410,
008,597,975,606,575,867,476,173,623,116,483,380,499,681,180,072,920,968,815,
061,216,285,706,882,788,945,206,284,583,799,011,048,858,720,559,314,568,832,
321,903,688,143,239,758,628,013,615,982,509,033,286,367,193,271,660,391,144,
519,997,531,871,765,749,570,412,173,314,765,286,495,463,022,106,573,755,726,
832,621,452,378,026,089,955,286,065,967,351,014,892,779,954,780,405,008,741,
092,256,681,718,326,473,692,061,101,362,465,925,735,423,113,915,201,723,458,
523,341,330,406,832,794,957,756,330,442,889,535,570,986,144,060,469,431,569,
288,250,957,975,965,078,008,884,839,248,326,784,472,484,897,899,958,143,568,
134,669,620,212,928,876,414,645,060,673,901,598,230,325,417,801,249,321,561,
723,510,112,867,598,312,555,520,812,819,061,715,499,906,973,503,624,745,427,
770,383,665,201,909,022,972,310,465,394,736,729,472,837,381,922,740,994,177,
422,909,540,114,472,913,826,368,058,860,384,024,606,580,485,415,366,686,726,
719,942,074,808,989,868,430,418,897,578,541,598,666,025,553,273,340,495,071,
429,062,218,103,029,711,532,091,430,829,883,796,483,904,969,137,578,317,541,
564,300,908,846,606,892,544,397,719,807,574,712,472,537,922,020,687,582,352,
145,267,978,362,382,586,561,675,412,628,349,207,267,322,208,867,261,842,667,
522,695,583,679,439,311,575,158,037,076,152,915,310,530,948,533,986,060,197,
901,285,087,102,762,167,774,397,964,268,085,245,485,226,659,428,265,901,252,
134,052,264,083,275,838,825,448,878,427,531,826,365,445,952,388,262,785,048,
228,998,669,842,447,831,573,125,032,426,208,130,788,795,097,357,993,334,183,
134,138,395,435,996,940,097,144,786,911,391,062,940,402,220,620,121,868,551,
537,526,067,914,938,472,406,221,449,060,125,799,034,162,276,260,583,339,645,
410,416,537,358,579,751,109,208,511,075,334,775,088,309,663,130,629,251,288,
746,213,820,532,942,610,304,369,043,595,061,253,222,497,892,000,788,263,935,
680,920,639,756,074,992,605,194,540,151,599,525,284,726,434,031,730,345,613,
832,466,737,738,958,134,478,868,375,978,781,864,697,781,776,165,914,811,186,
823,779,218,676,442,762,276,520,337,186,773,200,415,308,700,619,983,134,664,
013,802,346,411,083,013,463,230,146,400,973,747,007,754,780,497,274,654,257,
453,115,403,906,753,405,238,384,349,697,317,336,345,410,028,644,940,118,600,
370,537,348,409,159,077,005,132,651,748,312,689,637,242,279,014,355,077,610,
668,972,317,174,213,236,821,930,003,013,031,322,384,880,038,692,343,547,970,
542,234,840,579,631,478,694,768,546,141,437,785,428,728,200,584,169,297,410,
483,062,050,946,156,711,974,871,059,139,061,329,607,279,095,868,428,578,577,
901,061,355,058,799,572,390,861,953,287,161,580,268,030,556,870,858,688,086,
753,421,621,788,768,115,242,108,626,909,369,982,308,876,269,780,239,841,721,
014,177,718,201,163,074,937,085,160,582,219,880,961,788,202,002,422,863,416,
644,656,054,821,535,173,105,618,935,216,865,018,994,335,286,698,217,196,188,
364,324,646,432,062,450,976,132,596,811,923,850,366,106,740,963,102,707,552,
086,822,363,557,518,427,762,423,306,095,302,974,382,511,483,824,033,668,408,
753,841,540,138,095,573,398,713,617,260,696,212,114,714,787,047,946,396,680,
154,661,447,550,639,168,119,163,490,942,148,931,950,851,435,785,669,542,528,
397,790,073,641,135,589,879,940,375,602,448,041,548,236,540,566,316,851,051,
658,621,914,812,445,516,090,233,384,253,939,661,495,271,743,658,729,123,591,
057,517,965,744,526,929,913,242,646,419,896,391,161,385,192,847,739,602,028,
150,010,231,920,334,898,780,348,195,858,174,405,747,832,433,859,387,146,124,
701,141,289,563,776,463,886,866,805,711,786,561,561,834,981,920,857,851,363,
204,173,858,708,954,132,774,356,254,579,444,075,139,564,863,892,464,987,576,
794,775,933,833,823,858,190,069,926,968,808,579,036,423,992,767,629,426,471,
697,452,756,022,745,395,758,699,030,498,062,006,627,831,124,264,726,210,037,
104,435,525,263,523,175,982,507,935,582,491,131,259,896,376,989,018,517,735,
584,168,847,152,493,490,868,919,499,803,746,154,422,630,431,116,802,723,248,
942,947,027,725,988,337,339,007,117,958,679,005,594,114,449,560,678,815,844,
110,065,755,711,131,594,720,803,699,296,947,216,969,308,507,883,380,721,779,
928,931,329,703,175,852,078,410,673,077,228,895,838,334,112,848,243,276,632,
719,402,604,487,804,404,252,364,691,021,855,256,360,678,189,645,433,174,423,
982,578,089,706,297,794,455,624,451,688,176,106,692,499,297,968,591,481,881,
690,300,188,846,095,670,621,230,810,998,130,577,510,032,009,785,585,122,750,
593,598,802,358,334,329,574,318,620,264,686,495,586,129,204,480,265,482,425,
554,202,715,594,567,109,241,564,613,886,921,246,770,602,914,585,781,052,733,
808,715,297,492,793,561,530,681,744,968,632,957,097,413,180,848,245,069,983,
289,951,165,203,790,131,332,584,578,051,133,754,779,317,292,628,759,631,732,
104,077,043,869,816,528,286,272,394,590,692,461,483,689,069,651,465,021,524,
581,307,823,842,527,535,866,143,644,295,383,000,685,997,699,040,684,283,032,
359,200,807,858,501,949,806,978,793,930,958,055,622,165,472,617,066,005,075,
362,486,205,264,022,838,158,635,374,180,803,909,848,047,605,219,128,658,544,
310,841,149,500,563,915,286,821,717,791,197,286,803,805,494,593,302,950,652,
193,821,417,426,909,254,109,564,817,056,933,772,991,357,114,269,027,715,972,
348,239,534,583,618,662,709,292,620,765,030,757,953,940,367,959,476,500,461,
604,105,091,850,097,190,018,613,722,504,333,691,563,784,259,119,094,315,150,
150,435,958,383,517,289,192,117,873,711,438,276,730,005,630,669,437,599,901,
828,494,782,051,101,471,822,155,032,176,385,259,319,174,326,824,332,502,198,
790,971,267,991,402,662,356,963,421,631,392,484,502,640,172,407,460,575,932,
690,523,487,796,322,339,689,963,302,511,698,035,936,483,120,361,665,636,193,
353,517,903,767,196,856,684,941,297,370,725,286,804,961,678,017,088,501,577,
163,869,248,295,854,248,349,534,498,925,554,028,461,539,234,982,268,300,999,
519,631,455,746,168,104,490,882,499,130,951,998,913,356,927,697,762,387,910,
706,699,414,087,702,936,155,048,955,226,100,092,547,022,769,430,708,521,981,
725,616,801,158,864,533,416,100,851,303,402,986,846,651,850,164,212,396,099,
887,097,920,774,575,547,011,430,081,697,753,990,022,007,426,142,583,211,235,
483,110,458,340,632,792,154,024,359,619,460,815,628,828,919,989,326,159,757,
035,243,949,248,614,341,473,208,933,662,081,921,678,628,405,504,082,884,722,
100,595,272,185,989,803,077,091,008,288,324,107,263,581,055,813,628,979,812,
251,429,321,680,916,337,509,275,826,391,580,618,115,360,045,330,746,764,489,
084,195,835,894,789,930,170,310,273,667,156,799,621,399,513,400,880,784,212,
408,042,038,466,231,782,857,228,562,220,388,917,172,768,434,943,209,028,559,
585,278,509,223,497,792,479,976,084,347,015,035,842,414,857,038,881,967,081,
114,692,927,530,669,415,626,801,056,494,321,506,211,974,704,863,108,168,289,
526,800,752,223,864,510,740,343,923,469,729,744,903,260,684,407,460,861,232,
327,686,674,265,716,735,204,731,086,484,485,620,202,720,950,365,219,573,350,
056,348,027,332,589,954,467,176,500,409,482,557,554,264,911,813,668,816,011,
650,333,587,475,998,490,657,615,945,585,292,294,698,698,503,120,187,974,646,
263,085,518,525,673,818,448,411,643,289,659,710,015,033,490,575,824,480,117,
931,048,245,996,267,635,673,977,581,155,823,129,862,543,895,982,477,151,539,
287,677,853,696,847,849,069,254,018,311,688,657,981,315,157,001,963,930,271,
983,342,788,048,579,426,526,499,802,700,203,518,699,395,705,787,583,136,632,
524,039,653,170,037,893,842,898,488,310,781,864,837,283,857,493,413,784,227,
814,945,291,861,398,353,918,428,975,694,013,729,071,474,518,723,465,298,727,
503,492,341,422,630,946,042,866,016,459,706,578,877,428,426,071,921,391,626,
079,740,504,729,020,987,940,907,461,593,681,359,678,683,647,965,521,933,087,
627,574,780,901,943,961,324,442,683,389,507,017,237,157,932,484,222,234,661,
238,719,863,916,284,011,342,453,167,960,597,447,681,926,343,540,527,344,020,
781,153,355,074,235,334,445,577,436,282,690,950,892,746,457,999,327,576,284,
339,110,206,220,041,276,687,244,933,411,765,721,285,198,955,314,382,902,420,
202,287,701,675,705,814,653,574,121,043,921,454,130,766,489,514,414,162,231,
696,972,532,220,820,218,863,816,833,777,249,409,209,682,947,197,027,037,196,
728,185,505,830,201,278,593,859,115,315,209,386,809,559,096,024,301,713,683,
327,502,296,721,083,797,450,363,066,192,825,298,241,233,029,591,836,423,622,
846,570,471,948,419,780,713,157,374,453,993,652,746,237,475,667,948,413,072,
305,645,165,170,092,450,124,836,536,697,786,804,832,247,844,858,791,598,315,
912,074,502,081,884,287,778,333,524,436,131,272,892,476,353,039,205,412,984,
559,012,231,679,675,033,083,996,009,708,102,880,649,981,557,730,439,743,317,
626,088,480,234,334,494,657,674,058,256,630,129,952,827,923,817,929,686,881,
743,877,701,518,968,309,725,012,801,287,143,900,958,476,005,071,760,277,453,
084,975,092,630,756,618,052,420,179,621,601,651,040,422,727,281,101,122,442,
757,945,359,446,744,783,373,029,793,411,485,220,335,105,672,555,289,550,705,
568,792,709,701,148,095,347,728,695,753,989,065,825,215,138,405,546,682,862,
703,549,672,130,476,593,019,833,135,096,754,939,443,526,531,557,318,043,750,
983,323,094,612,988,614,747,800,719,305,662,495,894,183,124,469,727,057,186,
593,339,507,636,089,120,820,474,631,364,157,342,429,823,104,073,582,484,559,
021,698,931,837,321,750,697,103,432,490,272,425,657,622,787,882,901,905,406,
251,288,545,252,177,337,094,712,522,103,813,501,791,682,703,170,875,682,724,
829,554,245,230,471,024,669,957,035,883,358,145,610,546,911,668,152,482,304,
323,937,189,838,317,570,875,822,387,796,601,541,027,757,806,072,383,619,029,
196,298,714,744,852,844,152,524,429,803,048,285,207,972,734,762,300,345,407,
650,999,868,442,491,871,174,954,921,102,423,574,615,658,138,458,842,020,611,
924,530,809,512,124,161,147,890,682,027,597,054,458,566,775,641,189,474,109,
156,811,745,912,999,467,220,631,242,722,519,744,399,076,098,754,110,151,223,
425,479,608,674,157,049,234,728,616,368,608,656,842,184,475,759,014,992,108,
386,778,513,406,732,956,015,722,451,928,660,552,741,819,656,679,273,729,455,
246,507,140,902,216,229,174,725,057,349,030,092,411,199,186,702,881,252,714,
748,890,175,237,184,819,937,914,121,315,445,851,247,598,337,940,340,385,059,
858,640,157,577,783,110,519,308,701,510,211,143,564,816,802,422,358,452,721,
034,503,525,228,308,665,433,454,115,623,132,866,220,464,329,477,806,650,818,
594,476,424,239,522,824,424,428,827,920,910,853,737,296,402,211,175,732,343,
794,418,104,916,205,597,846,004,540,218,072,003,182,346,412,445,548,501,516,
280,767,383,532,241,978,446,592,470,875,800,941,545,431,548,602,621,802,169,
669,376,638,129,419,981,763,743,128,307,750,997,726,559,053,992,631,777,473,
595,087,197,226,792,165,644,776,066,081,202,754,221,418,634,768,372,508,449,
342,045,367,795,110,278,452,198,989,320,384,252,236,953,537,019,496,290,385,
663,425,094,818,401,624,809,651,690,731,186,269,266,399,995,327,476,578,852,
284,060,065,311,543,894,353,720,928,149,534,753,553,613,687,443,655,141,573,
553,768,070,000,173,677,982,624,494,201,431,999,335,680,741,831,804,281,681,
589,386,750,335,970,606,934,054,927,651,939,614,466,456,260,533,461,303,356,
295,440,174,376,256,353,173,693,791,836,689,437,518,469,931,418,643,693,816,
542,748,811,690,856,366,995,722,335,713,142,203,542,937,036,426,415,801,827,
877,433,320,001,833,017,362,130,902,484,746,837,397,853,341,471,755,009,581,
636,152,434,759,942,121,851,205,590,093,466,700,605,598,075,437,696,697,001,
391,329,879,126,350,014,373,844,915,992,153,072,823,415,204,162,825,593,531,
609,885,039,311,993,548,787,325,086,205,769,770,474,462,636,479,948,180,104,
278,891,889,014,978,450,385,195,377,556,287,258,307,762,573,825,016,620,409,
150,302,795,950,210,253,747,553,281,153,509,686,712,014,950,533,472,899,000,
897,278,813,726,910,584,966,824,655,053,780,742,953,086,527,910,745,159,859,
222,892,569,150,871,377,846,682,436,867,064,413,275,413,152,475,946,219,593,
422,848,310,798,736,961,688,967,824,192,105,429,079,678,505,139,254,845,808,
216,110,014,015,421,415,029,815,576,755,759,932,097,615,973,799,279,226,544,
293,423,468,006,065,045,336,963,791,382,785,172,225,304,106,838,242,292,508,
972,299,570,706,960,516,870,983,192,812,627,215,004,217,455,399,200,582,765,
255,440,337,673,856,227,563,159,353,913,567,912,363,268,056,863,366,321,393,
039,494,760,336,540,928,495,166,332,880,513,502,927,238,669,197,950,793,739,
616,417,819,211,260,243,947,720,908,302,855,265,120,845,257,681,773,899,388,
950,728,543,414,711,232,682,352,703,135,350,571,243,147,466,349,135,409,886,
140,458,909,405,890,387,696,803,792,150,249,921,998,092,990,468,722,111,310,
443,894,190,640,014,550,882,745,894,603,327,203,522,382,844,067,244,490,032,
666,615,942,137,790,882,048,826,847,560,556,080,512,301,325,925,770,981,400,
158,973,789,528,772,436,101,320,400,897,159,102,057,440,837,258,562,373,158,
945,271,358,195,180,768,691,102,799,068,184,386,370,472,927,137,089,498,785,
443,161,655,339,247,901,661,751,896,845,626,020,077,721,246,296,559,973,339,
301,596,884,855,518,682,861,007,082,675,512,818,579,836,456,971,100,945,930,
168,326,454,802,174,732,896,892,969,888,367,642,386,947,343,648,850,812,789,
277,335,991,154,547,467,022,413,469,041,486,246,844,756,009,847,402,081,672,
071,903,877,245,595,097,941,845,473,058,425,864,029,167,782,831,968,166,421,
769,747,275,876,420,910,582,189,963,360,926,932,526,796,512,594,589,595,209,
070,126,382,548,071,712,210,881,767,993,292,224,816,914,592,184,748,810,570,
365,492,425,344,210,507,661,239,065,294,788,125,495,847,812,769,421,173,777,
377,993,946,466,688,510,447,572,730,027,886,136,430,978,370,945,050,890,077,
383,219,461,768,804,351,191,417,089,972,506,795,756,528,649,862,975,400,055,
541,825,036,346,838,587,134,568,119,790,052,636,496,592,125,315,971,128,280,
667,314,547,546,402,830,937,891,321,889,445,095,454,075,011,649,261,339,917,
806,885,093,340,684,999,711,726,433,265,830,285,938,509,690,341,797,513,441,
948,481,154,913,676,579,995,462,370,505,440,755,236,733,728,835,843,253,633,
821,913,064,446,278,571,638,998,924,311,627,866,366,897,342,639,075,641,788,
705,947,716,489,542,447,557,074,537,869,362,076,093,891,444,502,840,772,963,
108,371,761,310,282,805,370,050,796,750,404,471,279,350,145,468,788,333,508,
803,794,821,928,341,921,751,908,583,093,790,486,591,005,867,507,604,017,757,
199,404,507,950,585,408,643,864,612,545,751,324,125,920,061,272,056,491,091,
473,580,738,199,307,113,165,723,613,590,271,003,213,059,834,427,380,878,714,
212,463,548,250,812,747,681,914,297,740,901,717,939,741,973,020,911,925,080,
645,765,501,613,887,088,546,207,819,970,195,394,278,906,572,538,459,724,999,
056,122,523,968,199,873,079,193,312,657,521,904,418,831,874,931,251,398,180,
469,197,169,235,519,964,794,532,935,338,171,249,793,067,097,224,056,242,875,
810,244,185,637,778,883,273,170,202,307,248,844,753,760,502,057,796,762,077,
769,990,784,674,141,384,177,179,098,663,787,475,663,239,039,696,139,860,679,
454,741,982,116,207,028,118,570,740,760,317,410,300,034,693,838,054,499,987,
591,209,104,895,199,196,715,113,901,563,015,009,713,492,867,293,109,464,461,
951,314,641,822,048,358,476,529,660,902,844,798,316,751,626,838,255,388,955,
314,495,828,388,560,283,731,262,100,528,121,169,767,823,192,821,879,576,558,
134,735,640,847,815,401,510,588,157,526,611,388,443,765,057,031,348,619,562,
502,575,786,969,555,665,824,510,720,187,278,327,686,381,149,277,339,339,434,
612,205,531,527,354,807,019,435,548,534,539,844,859,719,140,638,568,583,436,
556,552,739,351,575,422,701,375,447,012,468,438,238,495,397,001,799,292,252,
101,597,555,481,025,443,870,765,876,040,149,312,621,450,385,029,240,222,325,
907,441,351,525,179,147,147,695,342,824,235,295,943,098,052,515,722,049,802,
725,775,732,085,479,069,132,278,556,085,422,397,917,514,877,175,124,903,747,
245,767,685,429,514,345,228,192,401,629,944,313,529,094,745,754,462,276,433,
189,926,372,094,132,582,529,974,489,834,099,805,996,274,832,345,782,475,883,
214,837,568,125,804,434,178,657,677,452,563,991,346,412,586,257,789,596,950,
473,337,056,697,683,594,645,648,537,984,766,768,182,279,886,098,342,737,758,
088,814,735,375,890,479,286,771,978,882,120,963,247,861,334,541,962,600,723,
741,181,375,118,906,621,375,012,325,915,892,985,413,547,456,927,385,035,913,
312,709,725,826,843,139,615,309,935,124,457,112,416,692,415,343,277,363,927,
933,672,436,910,887,821,691,944,125,917,054,878,671,270,914,661,467,118,545,
507,511,943,469,983,277,121,228,127,767,667,893,523,173,295,069,608,266,229,
923,712,879,268,947,753,540,935,253,453,635,536,704,670,410,922,776,345,983,
012,839,067,507,886,395,116,607,754,095,646,667,908,388,136,798,932,604,373,
411,075,064,196,489,745,814,750,001,769,762,788,635,934,893,289,326,489,980,
131,860,431,452,533,247,394,007,102,790,593,478,614,358,776,525,668,857,793,
349,556,619,125,993,754,028,242,356,483,669,466,869,790,426,157,954,845,759,
084,001,414,162,809,437,892,110,729,188,333,840,812,415,107,128,741,496,531,
614,131,634,324,582,630,825,987,099,239,830,451,867,500,364,267,809,609,232,
106,566,927,158,492,060,117,385,574,595,512,633,701,377,561,947,713,518,361,
948,666,160,177,730,905,504,488,799,357,417,300,547,016,698,326,677,263,992,
727,099,899,622,040,427,495,457,304,495,028,242,232,963,575,205,169,158,614,
619,993,716,388,167,680,878,118,870,716,697,619,815,122,764,338,669,666,488,
238,635,815,946,842,848,483,922,129,323,923,856,805,048,197,442,603,146,483,
966,768,612,447,811,267,370,211,149,120,529,904,055,924,983,938,112,908,794,
020,073,105,468,924,180,643,978,455,328,180,038,670,445,914,653,676,930,427,
479,677,632,285,790,128,227,129,475,560,303,036,039,837,385,343,989,669,527,
842,374,623,150,790,934,984,505,383,971,309,144,501,204,909,523,482,337,024,
995,137,199,071,435,389,409,822,194,063,607,513,939,555,965,800,101,413,205,
120,450,163,616,930,868,243,382,102,712,593,208,524,871,066,343,279,397,786,
045,208,781,995,252,438,581,306,850,001,126,323,541,230,257,445,677,201,257,
967,131,830,513,168,971,250,853,934,108,140,318,866,469,472,283,740,853,784,
845,416,171,351,447,474,296,826,561,119,489,770,687,107,567,064,333,023,263,
482,694,062,210,508,213,263,117,978,241,698,554,936,576,156,974,222,341,826,
150,935,392,785,759,684,281,904,504,554,419,359,134,029,684,034,929,339,431,
557,722,820,951,106,829,995,386,278,689,890,885,570,261,672,931,836,965,893,
036,613,111,461,831,785,369,106,068,903,295,420,264,723,767,673,148,765,973,
251,561,538,334,649,938,998,264,387,105,480,552,071,903,523,972,134,826,881,
539,997,298,173,673,666,933,517,014,578,662,121,671,572,638,658,845,845,036,
969,763,054,284,475,242,626,213,989,022,522,127,918,658,639,914,431,160,757,
203,503,857,131,959,799,283,604,113,383,095,448,864,224,006,221,383,656,553,
558,523,009,703,620,296,202,484,214,477,674,135,088,580,728,940,449,663,085,
767,276,728,132,602,987,103,387,226,470,075,526,912,977,081,243,571,054,957,
198,830,175,752,292,131,258,088,203,191,214,660,608,843,891,806,832,897,402,
756,001,793,609,215,730,656,258,493,608,442,468,964,882,021,587,564,411,135,
370,583,463,770,603,115,774,404,877,181,328,564,292,942,527,883,998,372,072,
495,476,682,059,234,818,744,940,892,671,147,159,367,931,523,335,781,097,751,
748,358,687,767,436,392,736,738,829,286,861,065,570,551,457,065,700,155,833,
193,938,693,333,066,645,226,167,103,108,404,749,804,671,045,687,430,440,889,
566,042,897,121,516,767,719,671,044,535,002,856,973,871,221,192,744,087,800,
452,091,903,600,413,503,771,834,600,023,414,519,385,537,454,727,511,587,256,
813,430,695,449,364,635,619,531,341,409,670,060,351,564,371,064,389,313,307,
231,440,188,703,243,704,529,998,446,157,715,046,406,691,967,210,286,045,659,
079,085,168,414,397,940,792,533,777,568,019,263,346,315,173,896,366,829,789,
927,609,792,934,745,449,374,926,151,235,051,634,237,929,444,491,681,974,116,
992,469,920,587,212,083,797,574,531,607,574,259,411,911,450,168,245,261,911,
240,853,997,297,864,516,848,346,239,174,441,228,637,136,071,118,076,247,308,
874,800,300,324,884,656,994,843,180,268,332,176,390,270,249,166,166,666,663,
221,339,003,192,937,175,826,138,727,358,678,247,909,119,818,638,048,724,286,
395,329,701,620,203,447,149,039,788,422,938,868,317,073,501,438,488,436,734,
181,627,312,313,797,870,725,312,538,678,298,494,739,483,946,470,319,296,057,
476,096,295,431,806,249,375,708,196,217,482,556,050,618,206,161,033,047,022,
382,333,864,289,405,600,077,527,423,385,592,063,539,568,002,722,088,191,425,
499,180,157,757,333,357,131,622,218,040,731,907,191,020,375,080,253,914,975,
992,290,316,304,932,609,017,093,650,342,843,386,574,975,434,275,592,889,318,
992,066,753,987,396,491,489,390,098,052,751,153,532,605,609,481,077,618,366,
484,622,274,501,186,827,884,695,497,400,677,869,750,916,498,779,994,227,113,
394,915,543,894,490,134,347,108,056,319,196,038,801,245,726,386,432,933,366,
630,974,118,777,751,242,726,362,682,439,043,750,372,911,103,054,210,461,387,
129,121,735,536,128,839,779,188,971,872,159,549,764,465,278,454,868,364,270,
410,317,713,193,068,527,529,682,289,375,361,363,506,727,075,840,694,224,726,
747,648,260,315,801,490,608,665,744,455,453,836,710,914,021,309,183,912,953,
463,710,533,544,540,719,169,658,006,863,020,931,662,498,087,128,386,679,263,
337,008,494,222,352,012,810,554,214,495,406,364,299,418,280,612,205,157,279,
101,953,220,523,826,365,974,544,876,518,706,186,318,924,372,999,438,929,446,
094,034,020,461,708,641,175,131,763,713,739,778,579,507,939,556,267,336,583,
994,782,728,201,990,136,339,447,043,451,912,210,748,818,045,648,984,269,678,
585,350,085,025,760,388,342,975,974,395,592,574,669,587,330,806,308,596,351,
475,689,133,621,792,881,481,048,478,515,148,821,650,194,540,917,203,999,884,
835,420,255,653,340,608,666,303,610,154,057,915,837,384,151,947,200,429,789,
975,583,220,459,708,513,266,356,720,335,515,110,397,026,457,176,848,907,145,
973,970,765,004,965,439,973,545,301,500,198,285,439,171,490,659,272,187,284,
801,342,311,722,858,470,905,626,640,725,515,201,120,364,433,761,608,434,183,
108,335,324,825,547,551,587,734,014,399,905,836,129,333,247,952,894,143,079,
808,583,669,479,440,042,358,171,116,239,924,218,243,049,411,517,598,036,249,
322,805,812,786,339,403,281,655,912,907,710,505,440,765,387,972,433,086,831,
386,729,748,600,908,256,855,424,367,899,581,930,569,787,735,486,410,428,371,
320,793,116,386,718,431,039,759,758,777,916,215,046,384,918,861,236,987,620,
448,872,891,040,774,068,419,078,861,440,303,514,165,518,860,960,583,429,094,
677,645,803,365,060,058,122,520,077,860,522,677,891,500,562,745,829,420,800,
888,575,829,948,547,954,489,884,725,090,939,547,972,511,862,544,562,782,407,
759,073,361,724,636,693,735,414,574,010,934,672,441,733,706,491,924,675,596,
726,211,058,405,072,568,741,151,109,319,494,397,682,343,500,341,168,453,015,
805,438,164,573,142,973,023,386,277,608,872,560,780,071,084,931,993,854,839,
345,461,409,182,898,117,912,835,656,346,317,870,756,496,534,269,489,121,770,
720,543,214,486,672,537,380,084,098,289,657,718,487,502,753,116,638,714,878,
919,227,331,481,152,257,558,993,932,935,099,237,853,133,314,112,766,874,291,
487,180,366,329,275,228,222,995,281,750,988,732,049,861,451,746,386,581,003,
451,948,864,450,400,539,441,150,958,722,598,834,870,852,685,482,115,033,316,
140,571,885,179,529,252,240,457,698,053,180,762,530,793,235,966,715,871,048,
531,883,401,709,387,117,603,802,104,440,336,822,836,858,769,517,072,390,381,
830,494,927,841,576,073,384,774,258,533,201,450,657,352,131,730,294,205,433,
905,552,046,014,650,041,589,100,183,740,280,124,382,701,911,209,227,027,774,
973,350,280,571,859,099,879,387,987,339,601,618,416,785,963,154,942,496,260,
920,247,295,729,134,682,365,585,416,348,465,874,134,640,855,383,732,101,688,
031,991,360,240,836,008,708,117,218,986,230,861,676,370,045,343,298,163,783,
592,211,857,375,081,159,367,543,871,785,211,337,724,992,928,148,353,033,735,
437,684,976,441,334,050,553,491,982,717,416,786,778,405,800,379,621,464,996,
451,129,643,047,159,312,102,129,889,642,228,499,173,968,449,931,308,311,716,
608,540,424,485,216,524,891,209,922,138,082,113,275,434,833,877,057,907,951,
365,785,893,026,874,496,329,364,243,235,148,243,454,568,857,582,527,821,696,
111,046,399,068,745,512,058,461,242,421,037,783,400,456,221,300,189,732,480,
632,486,445,104,052,210,716,584,634,588,523,978,675,346,195,421,293,264,631,
755,830,044,807,568,433,211,181,102,567,555,772,038,419,456,972,420,772,715,
982,917,208,540,796,237,157,059,937,981,034,932,417,462,952,525,038,778,857,
048,954,229,795,896,277,591,896,422,205,096,527,139,899,152,125,956,290,047,
393,334,989,234,006,298,293,484,060,362,391,884,321,267,612,028,332,305,039,
185,481,239,312,592,634,524,370,297,537,214,510,977,671,438,868,444,538,371,
131,544,687,401,066,787,143,531,738,880,641,792,038,694,835,904,331,688,209,
170,804,822,447,156,570,418,469,899,641,307,569,109,270,868,961,224,044,796,
766,347,121,680,564,580,009,348,670,267,973,669,348,452,208,001,287,981,367,
913,330,462,410,678,626,501,337,244,627,349,537,915,849,579,355,669,753,896,
923,849,900,108,728,075,694,869,901,667,035,399,732,878,881,721,962,395,437,
056,080,655,337,335,083,844,402,409,195,709,057,576,528,389,601,088,761,367,
994,653,892,501,436,628,015,760,332,630,017,862,336,075,936,082,675,711,315,
428,429,872,401,887,075,159,768,930,119,998,271,465,666,087,765,043,709,572,
063,995,334,578,104,706,059,402,798,316,253,403,272,265,192,991,732,223,021,
058,475,625,719,391,246,348,260,090,762,609,095,684,979,135,127,607,725,948,
290,398,726,608,119,167,612,023,497,643,232,970,645,753,883,568,059,115,184,
492,478,920,361,991,936,539,798,343,022,819,897,019,887,995,197,303,700,189,
309,594,555,838,673,642,366,421,934,785,297,919,705,343,173,843,958,562,276,
052,960,687,238,496,407,790,994,309,462,228,301,588,752,042,495,085,501,256,
610,179,811,749,479,790,681,516,810,503,620,308,437,610,276,201,466,548,490,
529,255,183,828,907,224,113,331,247,418,888,270,758,929,983,155,767,843,179,
825,476,638,998,959,017,746,959,277,777,252,283,598,668,351,279,815,252,104,
787,547,810,806,989,378,103,909,354,039,438,369,521,060,753,629,852,554,023,
085,571,996,139,837,846,742,932,347,528,094,936,559,069,931,333,733,994,131,
015,875,722,275,953,991,974,990,278,336,827,465,049,915,215,288,750,352,237,
591,829,549,850,633,619,157,304,496,779,512,300,498,026,457,661,987,055,481,
027,988,147,646,679,297,378,442,546,278,030,095,993,397,482,063,915,060,282,
144,921,146,343,606,962,816,076,034,064,396,338,427,838,816,902,002,921,981,
750,528,159,712,698,927,708,019,790,521,293,322,623,675,763,463,621,319,602,
004,858,495,095,127,494,728,005,074,343,403,622,728,479,365,190,341,107,554,
661,278,893,276,370,770,232,952,584,809,505,300,052,307,295,356,865,515,547,
745,239,280,680,193,561,217,778,193,932,610,495,041,093,456,745,720,789,495,
478,053,187,141,827,525,859,314,300,163,100,495,884,662,166,849,655,011,292,
836,611,557,609,795,489,721,798,650,340,940,071,090,288,416,253,080,760,902,
408,543,889,364,160,562,608,919,387,758,129,873,253,369,463,379,559,850,387,
757,874,197,727,748,852,131,293,851,982,844,880,392,902,423,780,971,803,365,
818,347,514,228,554,039,592,560,734,452,875,008,598,125,403,888,121,414,961,
225,976,549,408,719,511,144,338,660,381,461,709,178,170,799,038,704,152,829,
819,684,408,502,456,181,252,000,474,856,391,621,012,428,182,954,485,514,514,
763,700,467,795,658,893,624,191,001,275,206,626,221,794,550,519,061,174,472,
990,157,425,441,135,324,888,941,727,454,749,728,702,518,436,689,133,335,818,
193,303,531,617,399,763,023,804,401,070,734,684,176,268,593,772,298,898,844,
690,070,706,833,115,863,146,870,258,786,709,295,916,951,654,350,882,844,556,
162,974,036,592,000,696,881,124,831,003,172,930,910,825,953,886,328,728,555,
002,095,621,900,577,374,048,248,646,627,469,798,756,517,551,209,830,555,908,
211,615,995,696,631,673,968,271,348,754,042,057,885,084,690,813,825,840,143,
935,422,076,248,859,666,944,287,804,894,524,117,168,722,618,110,864,014,355,
708,897,498,598,380,625,273,096,063,361,047,340,564,349,854,010,128,500,625,
647,868,651,379,353,705,626,900,446,497,879,733,075,381,107,806,052,118,330,
168,538,789,956,554,194,800,353,090,019,707,026,859,061,352,180,024,311,891,
346,305,527,072,273,689,090,021,111,613,948,526,034,887,027,753,089,230,109,
358,686,965,760,289,346,420,661,884,953,525,918,382,937,516,717,501,721,310,
407,068,552,793,305,753,031,821,565,125,558,278,598,336,044,010,351,069,727,
257,759,274,486,208,903,654,215,844,808,232,639,831,748,573,310,358,627,603,
010,967,020,426,880,359,893,921,357,930,628,852,297,356,180,202,064,729,123,
533,102,282,775,699,785,217,842,770,000,590,306,299,101,798,487,948,857,492,
893,655,069,343,828,962,802,914,543,124,450,307,041,868,431,488,971,334,845,
928,741,135,394,544,686,080,346,656,659,314,205,295,641,991,082,322,383,973,
380,015,913,873,915,180,010,657,342,788,603,790,115,596,669,557,064,908,727,
643,129,201,877,432,932,359,780,321,259,430,782,155,285,314,020,452,787,953,
581,437,183,904,404,959,877,696,265,255,881,677,606,971,164,910,435,709,410,
094,279,110,019,295,885,146,470,944,187,888,295,051,345,985,842,790,032,791,
122,284,655,088,673,247,321,243,863,600,996,670,232,042,752,034,668,669,941,
529,751,541,492,516,623,974,276,162,768,058,551,722,287,125,635,498,325,700,
697,896,040,615,057,314,783,204,207,957,073,103,869,540,089,689,422,458,248,
178,255,011,531,498,699,875,715,137,847,335,078,975,620,119,337,432,089,112,
352,214,728,102,619,918,681,336,961,171,861,835,678,442,260,342,685,352,843,
975,520,788,326,774,923,978,841,225,807,279,519,931,271,892,346,255,349,508,
084,171,874,180,937,327,738,755,915,696,655,661,947,808,657,728,319,442,209,
047,789,487,310,496,129,301,493,050,078,714,258,251,556,270,138,281,883,968,
017,537,096,212,189,686,015,478,890,491,644,454,903,850,809,953,591,619,313,
528,731,109,350,487,526,388,955,461,650,186,207,169,312,834,486,407,270,761,
454,940,327,352,543,580,134,491,000,679,895,151,496,776,655,258,071,040,314,
398,567,642,714,068,494,026,265,586,990,261,452,483,673,194,256,475,841,879,
590,006,241,992,157,044,517,726,411,895,699,956,564,981,986,713,483,918,837,
217,991,081,040,502,428,455,022,803,308,542,417,726,687,622,120,618,199,992,
098,976,253,945,031,827,860,258,126,318,459,658,121,734,097,194,961,480,677,
191,823,951,116,494,338,600,386,557,393,508,000,738,594,500,166,621,219,973,
432,417,739,019,182,565,471,246,024,529,597,615,924,920,332,587,999,477,850,
935,267,848,893,826,831,045,555,975,029,644,377,484,151,004,180,404,470,787,
387,868,514,027,458,325,508,399,425,561,147,036,799,696,355,809,637,989,478,
046,806,191,870,819,300,244,338,600,963,986,675,101,395,408,010,949,620,531,
410,665,309,883,568,153,322,413,742,375,634,088,973,900,774,656,845,492,736,
198,969,802,172,674,788,333,931,994,759,831,069,222,556,904,149,285,839,954,
329,628,605,097,258,706,559,691,623,747,517,704,289,360,843,316,368,277,539,
547,867,238,350,727,183,746,665,141,814,319,583,421,960,252,401,418,711,953,
113,987,817,270,939,597,766,495,165,111,206,304,160,341,325,752,463,591,806,
171,322,925,205,203,877,454,915,543,600,865,727,140,138,662,564,966,778,840,
414,474,861,122,312,480,610,952,038,056,535,712,826,270,949,516,588,137,209,
743,018,434,272,654,883,772,684,289,870,061,625,020,195,227,160,102,957,999,
536,597,914,564,753,532,215,766,286,915,570,570,713,858,757,987,610,998,450,
568,454,742,464,859,772,841,913,387,586,604,894,700,982,697,096,862,332,132,
553,623,279,030,742,114,066,718,418,766,111,866,369,923,965,649,186,041,223,
615,747,076,403,617,278,452,553,634,531,399,468,033,523,088,841,015,862,211,
204,166,254,664,210,029,693,667,108,357,199,160,496,927,017,925,320,032,549,
542,344,355,364,442,694,663,688,175,557,648,523,579,313,337,943,630,023,895,
587,665,617,525,783,192,298,388,297,555,501,676,584,587,566,180,909,712,050,
525,854,959,144,420,604,687,329,880,895,604,194,779,154,937,874,436,919,467,
929,078,255,394,272,759,878,849,797,749,826,307,381,352,305,603,086,608,983,
048,871,573,666,637,138,868,162,774,123,992,573,217,700,311,922,633,867,756,
171,455,202,100,232,661,551,656,785,891,144,450,670,715,453,456,171,211,093,
268,196,279,203,199,641,873,648,132,681,375,928,696,366,256,020,732,574,481,
550,288,119,300,096,106,543,181,636,365,825,276,461,100,772,716,168,104,607,
406,558,558,985,527,341,957,996,656,148,836,216,424,696,671,389,716,337,072,
748,797,700,402,971,581,523,333,719,543,042,674,080,184,450,461,200,792,568,
178,874,345,264,344,468,826,064,608,193,969,452,435,429,127,813,861,962,881,
054,160,004,191,470,797,211,339,783,144,819,465,728,715,132,720,505,289,842,
234,461,798,562,926,559,932,708,680,729,791,093,144,130,061,098,840,444,252,
084,849,091,258,645,618,995,944,612,043,642,452,422,380,675,787,805,363,336,
072,681,878,204,970,037,169,661,942,300,503,750,053,730,094,847,530,838,194,
060,680,671,534,643,399,930,767,193,678,649,123,814,706,067,919,393,544,189,
776,174,035,957,675,094,315,796,728,052,546,786,440,893,006,238,773,596,095,
917,862,277,066,904,235,809,899,740,063,501,566,578,195,975,783,518,503,260,
551,563,752,757,649,831,604,567,726,238,695,944,138,894,485,756,873,105,750,
383,019,156,917,044,833,306,300,695,880,112,449,647,112,812,677,096,682,428,
888,229,101,426,014,009,066,961,366,651,146,029,865,365,440,474,172,048,633,
929,085,630,986,006,834,965,751,739,147,001,472,179,131,066,836,365,235,329,
276,905,558,340,494,283,518,435,231,238,077,394,617,900,938,675,715,937,284,
157,547,596,076,022,084,678,615,824,389,838,473,252,724,183,488,844,583,105,
036,402,800,908,203,771,833,254,010,370,473,655,201,411,572,908,453,173,721,
058,187,287,283,214,372,317,011,447,654,440,052,484,198,612,488,102,701,077,
095,113,226,244,689,237,097,751,333,485,741,765,896,616,614,902,931,229,983,
294,046,722,996,339,867,890,766,547,728,585,213,547,024,091,528,779,691,289,
244,076,584,899,307,809,925,706,673,749,442,342,334,903,693,513,454,776,595,
091,483,767,679,329,901,961,254,928,042,767,546,961,481,440,307,953,801,386,
492,810,436,871,641,432,614,815,476,418,032,014,402,515,278,799,446,142,310,
912,187,729,715,700,640,081,694,590,406,283,980,574,149,991,606,008,962,610,
226,182,524,017,661,264,766,551,123,145,488,762,566,847,631,194,116,695,013,
947,725,952,336,034,939,638,635,447,157,834,568,949,371,616,018,006,488,328,
659,926,135,643,971,049,748,955,177,913,318,936,572,198,660,872,450,257,733,
538,094,623,437,719,147,550,747,272,275,526,376,758,416,568,321,023,486,956,
165,777,708,008,639,655,002,454,885,930,865,804,970,840,502,469,047,359,263,
477,851,658,677,602,218,675,921,660,367,528,223,152,127,163,009,313,314,529,
744,561,406,660,550,492,468,047,325,916,057,324,658,049,140,766,103,338,035,
573,746,754,782,424,247,017,477,991,202,610,457,453,375,671,027,451,440,344,
456,620,446,228,842,358,101,438,143,142,195,996,616,948,386,120,033,211,068,
912,004,201,519,665,407,593,900,605,914,765,285,868,950,957,714,159,829,368,
104,122,692,082,262,196,090,829,804,423,493,371,049,347,858,778,489,938,256,
531,694,057,599,711,335,656,352,527,152,454,777,661,351,697,069,742,768,362,
997,432,030,324,240,836,245,584,952,318,383,101,825,222,941,982,354,997,453,
904,585,633,079,445,937,187,853,935,770,487,975,158,116,643,281,742,732,960,
143,622,626,054,941,364,542,756,758,431,803,252,109,478,428,636,076,087,825,
586,453,226,931,012,464,921,444,917,366,224,845,734,791,379,866,173,090,678,
258,609,859,476,994,387,219,118,535,752,190,845,360,553,772,900,247,557,269,
101,553,619,976,248,609,635,542,164,102,442,818,983,421,782,099,646,261,392,
638,307,101,966,651,536,048,450,205,001,836,434,155,009,331,269,653,040,737,
336,422,252,472,173,695,648,094,231,181,647,152,994,335,490,521,638,100,751,
179,411,770,439,683,267,155,114,725,674,529,714,164,690,844,682,601,872,217,
442,810,071,162,381,934,943,575,355,559,888,422,036,408,527,789,548,508,049,
724,412,815,723,725,078,741,756,181,669,958,994,926,161,705,212,656,922,447,
678,989,778,863,755,967,438,420,510,063,243,839,622,535,001,724,000,393,284,
885,057,778,611,164,686,227,550,977,896,862,405,080,740,838,574,371,552,206,
630,254,394,898,007,176,329,742,012,317,645,696,262,605,061,332,538,580,365,
463,864,664,317,480,415,596,886,751,726,973,681,814,704,078,226,724,748,963,
638,087,507,683,700,706,345,138,354,379,197,870,728,677,891,077,860,329,595,
803,815,100,098,079,404,661,078,046,887,029,496,179,628,665,075,727,720,836,
348,871,182,752,515,653,245,896,192,485,680,163,050,778,940,400,927,911,789,
150,538,654,485,751,358,947,006,144,762,186,635,024,944,433,338,523,583,185,
678,190,394,387,329,834,833,279,725,186,068,961,723,804,103,605,252,617,493,
032,912,974,132,458,895,241,653,263,173,211,765,553,708,706,221,988,839,679,
579,180,658,970,495,962,122,110,562,444,309,506,872,860,016,626,395,079,138,
701,798,164,283,513,699,466,054,992,516,499,372,814,487,476,800,663,771,071,
382,695,623,486,430,307,941,809,143,386,349,828,636,060,627,531,167,394,966,
010,411,809,172,931,802,996,147,642,342,013,954,435,861,829,793,313,240,735,
104,054,380,404,830,446,758,509,043,391,931,915,362,472,936,501,559,785,622,
868,575,767,171,153,426,446,705,197,846,403,271,207,619,642,295,944,262,573,
303,939,914,847,520,506,854,125,119,910,585,268,210,833,739,362,678,586,159,
425,079,668,183,422,103,957,401,445,417,311,198,257,309,008,289,933,650,089,
469,761,068,135,742,459,468,566,329,671,428,348,924,118,862,042,991,827,208,
128,541,144,515,476,980,231,139,971,262,981,811,769,611,894,581,858,565,100,
606,743,864,117,379,295,541,853,278,589,935,082,195,213,166,940,632,217,953,
075,274,879,512,948,618,362,465,226,654,232,499,519,890,198,740,118,932,985,
767,059,776,837,446,962,244,121,998,769,449,900,517,879,421,313,238,313,685,
524,943,218,665,864,812,943,340,469,589,774,569,422,193,997,091,701,951,124,
788,823,739,808,331,344,607,204,612,722,999,472,669,041,950,689,332,496,588,
349,837,272,595,561,387,014,313,153,980,561,528,678,542,383,953,015,201,400,
993,990,348,775,542,268,069,549,402,639,573,806,117,877,737,767,628,575,331,
560,791,081,769,082,298,984,065,430,310,802,814,670,664,082,675,030,029,988,
284,789,980,082,614,779,643,611,811,422,708,707,558,483,478,504,177,310,957,
086,830,048,137,507,458,083,486,321,916,309,403,149,227,243,626,000,904,368,
797,498,241,824,127,965,560,327,276,100,229,354,725,338,497,645,096,837,636,
298,014,507,894,752,858,488,626,267,081,918,118,893,039,754,108,800,273,905,
162,437,252,810,498,528,979,142,366,246,587,225,500,287,962,725,598,025,187,
298,696,358,340,505,882,498,040,560,391,873,762,049,161,239,881,779,824,976,
897,865,293,163,319,597,077,275,725,089,617,532,220,486,520,573,235,866,316,
750,948,618,066,560,960,850,890,898,702,237,690,102,519,936,592,513,022,696,
173,345,164,374,655,636,316,539,060,795,061,073,725,699,449,937,739,816,416,
608,712,350,699,855,210,481,379,960,968,358,428,610,653,171,423,374,712,749,
319,586,245,213,560,297,795,815,158,750,397,960,626,098,297,639,641,775,420,
434,910,709,506,449,910,473,883,805,805,064,504,887,849,712,111,508,760,362,
829,671,211,659,665,514,272,567,322,490,983,648,225,481,058,068,092,785,268,
828,836,849,939,699,698,309,547,844,409,721,177,833,255,668,071,821,127,686,
985,940,313,752,496,123,211,106,132,602,845,427,596,997,858,508,234,590,182,
878,656,594,523,358,907,939,496,229,072,756,399,683,950,874,054,493,940,302,
963,292,988,411,345,653,746,219,256,135,596,380,107,175,681,796,875,166,663,
777,335,548,364,801,882,242,947,696,108,408,412,520,918,832,012,256,213,327,
370,276,445,506,083,650,762,990,915,455,018,036,107,453,299,775,636,218,970,
199,156,927,266,977,094,333,102,858,513,357,060,206,413,588,923,903,561,455,
845,168,952,604,293,597,740,722,680,326,878,614,266,190,500,732,655,285,635,
215,223,776,810,494,395,444,264,737,790,153,535,527,888,389,800,654,633,698,
543,063,061,935,138,503,355,218,978,829,154,510,684,831,385,818,332,012,796,
905,464,520,334,867,204,424,830,836,625,754,261,872,573,762,007,909,378,708,
626,562,428,423,366,667,529,557,757,033,709,292,157,888,856,889,154,009,843,
140,528,880,354,115,791,326,553,509,683,450,555,848,907,679,146,389,951,349,
602,176,490,334,715,573,401,471,975,854,284,891,732,442,701,755,744,842,494,
808,309,923,445,779,554,836,714,998,903,609,891,521,349,489,653,197,627,891,
469,220,795,322,783,760,368,089,937,779,693,009,935,741,797,086,970,352,901,
714,469,480,961,923,293,602,597,591,637,203,403,871,773,775,786,691,031,753,
767,056,348,474,967,735,137,094,329,607,741,057,981,415,112,959,436,709,110,
713,035,499,752,351,184,710,873,282,976,667,944,397,851,039,773,193,834,821,
547,621,924,329,814,290,194,855,999,251,279,440,819,189,849,713,324,885,208,
537,691,090,602,360,977,699,243,707,754,727,175,065,720,713,243,136,740,380,
323,563,086,669,606,360,425,969,902,833,732,781,427,474,171,178,316,727,550,
281,922,609,621,639,971,966,792,413,685,651,663,658,527,881,786,876,538,227,
653,490,585,586,122,999,319,135,440,597,954,601,854,168,166,703,678,630,977,
631,583,756,060,738,340,760,280,305,079,446,065,678,483,597,336,782,136,060,
430,447,760,863,608,358,729,258,195,294,682,262,757,416,399,884,218,290,762,
445,811,441,897,281,972,522,038,675,304,133,441,540,898,342,848,333,667,359,
010,888,658,634,499,300,986,443,804,415,923,679,104,976,668,894,619,018,132,
643,956,933,542,558,814,120,195,259,127,117,930,810,727,805,121,945,068,481,
109,259,300,070,957,748,546,950,732,387,327,482,031,860,489,066,769,475,819,
544,735,450,431,400,756,980,784,599,952,845,806,707,274,370,567,076,710,750,
855,752,646,953,591,887,860,283,973,533,237,404,299,612,390,960,255,046,283,
258,216,109,894,093,803,138,040,438,286,666,680,609,103,237,561,860,109,338,
279,412,942,524,022,498,382,409,306,331,724,550,727,012,153,962,672,083,645,
228,554,014,040,041,348,783,026,264,433,260,646,124,501,520,888,644,630,339,
208,744,238,258,863,349,646,437,000,179,727,639,954,519,877,961,265,566,950,
199,632,340,294,343,367,393,006,083,405,528,644,898,290,896,876,792,518,218,
245,484,131,085,920,765,303,171,355,667,256,992,003,795,703,297,453,683,885,
655,016,052,512,588,227,561,844,505,680,809,587,669,487,400,197,492,835,007,
563,948,813,094,593,140,986,345,989,421,983,440,637,413,919,708,823,108,523,
718,304,724,883,717,996,331,349,431,625,790,619,234,261,093,641,072,807,088,
483,471,542,211,213,635,446,876,375,080,147,103,911,358,607,924,961,723,172,
163,721,847,983,161,199,597,139,497,276,528,913,499,726,718,092,432,192,673,
907,991,976,276,227,747,616,780,313,727,614,616,435,030,728,025,619,246,000,
235,051,168,086,506,093,240,733,483,051,947,905,520,947,325,075,145,013,666,
561,178,579,943,678,977,317,707,480,583,543,159,490,797,139,631,946,201,069,
720,791,926,664,492,922,269,403,835,983,032,180,136,445,742,212,598,210,932,
849,353,191,474,735,380,113,750,700,244,605,306,619,945,627,885,080,249,940,
686,404,939,406,805,428,065,120,928,129,192,696,944,803,178,827,429,605,883,
208,797,160,428,874,436,483,939,784,637,746,161,940,806,926,698,566,530,491,
962,324,247,554,696,617,215,411,369,602,157,330,912,506,797,716,894,993,969,
921,514,211,137,616,046,788,796,088,464,032,890,074,998,446,291,564,995,931,
692,400,473,684,914,207,363,210,666,437,400,055,900,073,589,411,184,737,643,
151,245,590,918,724,237,738,240,436,501,010,087,797,713,736,926,972,695,993,
455,667,756,083,055,035,044,959,866,769,706,150,341,812,042,907,864,886,155,
326,848,576,477,897,889,945,399,721,321,382,754,508,711,525,698,725,197,018,
801,577,106,110,032,278,339,999,557,037,091,759,108,463,372,020,486,996,169,
378,801,684,996,628,968,006,462,885,428,000,775,354,135,149,887,254,501,759,
890,351,866,649,571,595,890,596,091,694,554,355,554,951,170,548,570,750,846,
440,839,786,404,175,163,586,600,885,248,864,087,521,220,458,716,312,747,787,
506,965,458,284,600,049,869,430,581,317,464,071,223,753,893,908,367,082,029,
907,365,859,383,476,389,101,878,405,854,688,093,915,155,794,614,735,110,264,
715,973,929,681,285,722,660,577,903,338,127,358,208,939,999,918,453,333,860,
744,082,644,161,781,727,090,741,100,647,916,725,597,423,252,069,292,201,814,
779,388,489,263,451,677,132,134,210,852,723,801,877,490,872,219,936,855,086,
571,387,508,390,120,950,687,583,408,924,977,949,288,749,635,229,565,994,768,
148,966,568,911,985,401,773,842,314,359,199,643,984,807,988,075,326,200,039,
413,583,272,476,612,219,602,437,929,793,411,263,074,654,648,785,075,530,715,
243,976,897,348,739,668,605,304,416,507,275,568,874,882,043,889,086,585,118,
276,265,085,518,275,614,242,637,056,235,875,021,469,952,853,582,017,672,819,
609,323,467,689,591,951,798,368,174,901,174,315,472,324,478,571,349,806,475,
502,318,587,767,578,036,152,296,181,414,473,003,122,088,360,733,987,410,204,
473,242,406,871,590,321,202,211,805,395,498,295,275,224,229,582,299,465,601,
552,997,386,093,434,010,667,506,520,150,140,293,506,870,985,128,655,042,980,
953,483,244,788,836,364,205,204,051,004,250,464,836,314,192,347,049,079,397,
909,509,141,842,440,915,233,298,112,582,605,086,723,773,575,958,066,051,458,
832,230,543,737,077,739,700,172,252,191,166,107,899,625,787,419,159,257,028,
711,658,395,539,881,809,476,362,452,306,325,108,493,609,500,654,576,864,480,
155,351,232,212,717,618,401,666,812,047,080,477,859,566,560,283,907,399,725,
003,726,765,869,677,703,899,739,383,388,792,530,281,327,165,335,005,084,295,
515,491,573,334,307,779,960,301,972,210,989,359,461,910,838,024,437,890,514,
434,742,446,793,715,262,973,594,918,539,038,390,357,315,243,647,894,076,231,
458,557,957,350,749,659,028,017,293,419,790,299,021,290,236,950,480,037,206,
699,471,136,234,981,281,853,679,834,943,781,201,771,592,105,760,250,382,314,
626,829,794,566,351,429,520,805,116,426,035,099,812,535,663,124,767,304,601,
267,317,524,543,371,568,550,051,214,555,122,271,782,247,244,494,264,719,160,
011,435,403,144,371,419,058,279,011,575,373,228,743,463,411,169,291,798,128,
196,238,644,023,126,650,028,263,316,224,118,913,388,438,496,825,750,284,552,
834,385,698,068,653,836,234,684,751,713,813,003,434,477,170,675,858,752,536,
850,427,532,990,188,328,123,665,128,468,288,448,709,949,404,354,332,132,971,
433,315,450,395,483,464,904,666,157,980,470,694,560,264,369,646,420,521,811,
831,326,817,592,176,120,868,659,632,169,214,068,108,892,199,857,159,759,793,
366,134,788,019,024,002,457,187,067,257,798,771,287,044,000,050,680,726,167,
432,905,959,988,231,220,899,296,400,496,004,036,864,216,262,149,671,614,335,
827,273,588,064,884,064,232,125,170,393,287,659,287,939,679,755,496,854,195,
834,661,911,591,039,391,100,788,432,868,323,201,115,945,936,567,071,637,401,
434,775,676,033,380,594,445,084,824,700,971,120,225,171,050,124,236,820,374,
144,615,417,645,713,571,502,041,077,176,083,983,639,747,800,350,631,343,056,
380,812,629,355,612,574,365,404,539,667,406,130,931,337,732,472,455,393,092,
920,557,754,351,599,335,285,729,776,406,377,152,503,210,491,352,261,234,769,
785,334,791,521,486,646,780,247,756,683,214,685,607,622,603,230,704,816,579,
544,885,732,360,056,231,513,614,913,586,335,630,176,095,203,934,116,743,705,
329,947,294,929,848,856,344,217,240,273,248,706,514,123,071,438,686,912,968,
854,404,133,217,400,259,060,542,387,127,079,073,132,766,740,994,107,716,638,
012,359,444,374,033,404,793,357,798,099,541,489,490,694,718,965,507,336,724,
972,905,564,948,879,925,530,346,906,786,484,928,909,564,522,181,614,002,632,
774,885,853,173,985,094,125,548,674,958,880,855,903,800,453,901,837,489,406,
188,751,193,599,344,877,202,529,194,513,063,633,770,697,203,735,436,242,702,
438,854,085,145,019,745,942,355,072,772,844,401,264,454,985,040,881,860,334,
725,235,756,069,533,121,859,545,940,567,357,411,467,877,541,162,097,742,286,
721,656,731,195,692,901,351,620,466,122,220,867,370,892,094,337,798,496,604,
715,700,411,319,240,485,349,024,332,467,634,676,634,645,902,221,289,134,592,
895,755,447,617,724,351,278,645,952,183,427,483,507,542,550,694,242,702,751,
763,013,605,651,369,310,390,935,719,870,105,338,843,718,608,085,211,488,059,
792,179,807,963,971,129,314,484,987,893,992,287,480,640,041,762,265,517,809,
446,349,823,277,770,722,859,934,335,410,055,781,722,967,996,656,117,122,425,
099,819,662,092,410,924,525,240,143,199,948,855,041,620,226,216,621,744,531,
091,837,935,894,193,845,670,337,219,205,182,062,433,062,016,141,382,675,716,
254,405,696,935,712,780,132,073,475,021,046,871,958,674,294,854,991,140,409,
904,117,760,648,310,456,890,001,099,157,891,845,632,738,086,687,449,563,303,
410,531,958,317,900,308,836,247,653,199,037,243,970,333,596,383,605,189,401,
711,303,847,646,807,849,516,129,539,564,954,187,181,449,051,560,594,448,347,
623,615,459,123,598,972,031,632,009,051,107,085,975,473,100,328,093,252,776,
653,910,393,509,559,405,928,531,462,899,951,419,716,070,745,328,230,337,006,
938,413,584,896,162,614,512,574,250,917,009,391,625,470,542,920,215,245,029,
122,512,296,706,096,846,031,512,555,554,954,529,185,239,662,402,372,184,067,
529,721,876,856,976,789,073,653,695,393,582,568,606,940,108,792,307,885,021,
054,187,423,822,985,130,958,607,516,739,627,120,619,692,325,808,924,364,463,
484,968,354,065,954,523,131,399,180,938,954,519,927,743,429,566,501,351,031,
977,889,288,944,587,204,549,174,825,000,409,213,772,521,989,450,360,034,729,
808,982,723,985,042,207,593,528,890,219,212,084,768,748,625,257,223,565,895,
892,890,644,023,120,913,576,558,076,316,582,949,241,622,756,610,761,327,550,
414,532,603,777,672,653,995,260,284,058,140,700,308,318,944,910,555,773,133,
816,715,693,407,541,823,216,073,801,873,961,610,929,282,110,931,162,653,881,
294,321,165,396,115,738,345,407,456,796,082,479,339,530,858,258,739,931,039,
452,836,401,118,682,254,174,543,150,919,380,807,738,648,137,664,330,836,386,
280,420,325,474,120,420,022,184,737,469,164,060,574,089,806,931,577,892,517,
214,792,001,482,216,077,404,804,740,937,698,082,689,625,531,428,107,112,196,
946,060,342,795,652,889,607,879,973,921,552,514,117,345,302,858,290,122,955,
134,568,198,104,896,396,457,526,953,108,176,114,504,910,864,467,953,444,818,
624,042,068,156,801,045,038,699,272,762,994,088,116,420,660,958,272,753,209,
950,226,770,166,806,954,802,265,148,912,997,160,962,723,432,048,921,958,642,
066,627,063,255,355,315,540,954,242,130,936,675,624,826,079,230,408,386,778,
734,731,424,353,994,644,482,599,227,545,267,914,637,168,227,697,947,558,916,
538,042,005,702,060,805,891,081,671,153,570,869,674,431,407,949,846,864,016,
568,809,076,502,271,415,136,796,967,464,434,365,359,475,079,082,985,232,858,
248,713,008,164,400,309,475,998,834,201,613,423,757,789,626,094,970,391,908,
895,355,841,091,257,375,811,302,644,061,633,645,727,663,441,325,028,246,319,
364,017,843,311,056,179,961,030,864,172,130,521,699,084,695,922,624,345,336,
362,928,649,093,511,050,911,516,291,749,785,298,703,374,537,066,285,931,230,
304,095,893,543,929,981,273,734,774,748,130,922,827,409,819,035,193,592,004,
764,790,462,111,095,732,228,313,355,291,083,449,502,194,581,286,816,745,310,
477,055,846,050,567,136,059,431,189,247,107,060,933,863,764,491,605,527,722,
308,458,490,929,763,356,431,007,202,785,500,238,969,626,982,979,111,113,929,
160,281,446,042,402,210,439,537,078,625,230,197,540,698,914,082,062,419,040,
164,229,460,972,265,147,247,015,563,125,499,993,912,364,822,473,407,320,599,
836,416,591,386,206,770,584,271,480,798,384,610,333,037,995,198,754,836,274,
667,925,196,080,637,011,120,216,947,267,331,340,498,660,674,137,804,214,103,
683,374,673,555,479,702,308,610,205,455,138,824,471,721,273,197,499,839,571,
179,148,972,268,092,235,622,672,347,187,868,578,106,920,559,808,641,405,442,
954,523,884,580,529,426,697,232,126,272,057,116,978,233,558,469,392,772,294,
363,903,024,354,853,259,914,640,306,489,925,464,271,674,542,752,630,735,810,
831,888,398,286,261,558,675,228,420,595,286,661,441,134,790,599,888,648,395,
174,061,453,455,067,725,480,185,937,290,486,245,191,452,104,829,597,608,865,
907,490,246,336,250,315,924,630,378,549,797,354,363,468,629,140,764,239,571,
767,220,937,692,614,620,196,767,599,368,512,247,593,851,938,366,986,655,136,
682,981,353,421,943,483,078,099,403,484,131,562,754,158,955,919,390,992,077,
968,319,174,362,299,092,998,063,286,158,302,276,407,258,254,106,951,001,919,
950,279,408,023,968,164,392,889,883,097,271,242,383,983,969,715,220,597,564,
407,683,930,242,187,053,606,521,615,381,704,601,603,912,155,837,778,518,703,
009,033,778,064,526,259,025,011,866,628,431,523,655,075,012,436,724,495,087,
250,534,514,184,151,790,845,482,175,425,187,832,500,610,202,481,268,732,573,
526,396,647,460,076,880,009,031,700,729,145,350,374,280,487,111,014,564,528,
310,147,497,859,453,856,032,413,490,474,233,849,611,237,756,390,112,560,909,
016,151,006,758,777,955,138,219,133,077,461,831,386,781,686,515,129,687,465,
953,347,158,742,837,497,561,411,062,888,723,497,112,532,967,420,433,295,987,
562,872,942,562,950,512,789,906,235,497,299,031,052,204,930,857,956,205,441,
429,858,505,731,241,908,249,847,629,326,170,652,766,577,767,055,783,907,050,
779,460,547,832,360,632,268,001,807,220,942,754,600,031,693,282,177,312,924,
708,380,668,443,856,931,472,498,165,287,674,991,806,981,894,072,353,386,778,
320,084,840,974,061,263,611,517,033,788,936,192,948,007,327,046,017,905,220,
210,164,011,711,356,072,788,435,895,761,114,855,785,112,380,025,019,731,125,
301,543,234,559,590,070,428,241,491,267,208,846,405,409,761,737,796,222,606,
742,815,875,533,454,497,312,564,445,913,013,487,438,808,185,605,188,821,825,
230,736,932,826,867,757,706,080,077,917,145,917,183,890,878,536,032,885,669,
445,328,404,254,523,416,395,604,606,094,819,279,470,454,314,593,209,992,104,
494,835,704,718,922,011,098,359,806,709,189,397,518,115,827,718,980,080,366,
410,734,363,078,847,430,498,910,325,839,288,648,484,234,603,115,951,434,926,
202,268,198,116,364,922,465,931,030,517,171,473,055,814,831,427,101,796,773,
764,777,546,793,374,300,625,510,280,258,077,909,943,540,539,280,481,951,055,
406,319,662,857,884,756,734,998,127,304,060,110,770,063,112,212,173,710,459,
349,120,467,405,628,441,452,109,357,207,532,424,126,829,686,775,022,088,607,
297,078,247,387,825,840,437,159,173,490,165,641,920,847,180,898,346,492,684,
739,304,214,042,377,948,659,801,503,020,390,216,418,130,230,194,181,992,523,
738,932,652,114,702,734,225,086,208,538,954,920,594,558,807,244,754,544,511,
330,486,224,915,322,510,123,010,235,416,741,243,916,830,427,856,389,470,837,
544,599,634,306,042,794,520,311,801,782,881,872,781,327,198,558,191,257,652,
219,580,525,902,914,573,603,079,604,137,225,288,972,392,474,457,443,450,908,
240,311,847,083,642,431,232,348,549,069,622,478,229,953,369,355,450,519,254,
551,287,018,992,485,811,677,424,874,537,988,274,012,986,518,096,585,294,088,
371,159,970,075,617,709,179,451,780,504,702,530,323,067,088,590,361,586,450,
844,676,920,828,621,841,875,628,093,182,950,715,981,434,906,692,019,027,179,
277,426,968,406,401,469,603,386,616,945,762,961,352,900,238,006,647,185,319,
101,204,951,758,293,025,361,732,261,823,124,527,075,848,323,903,977,921,272,
602,830,581,239,342,761,311,983,799,312,165,559,380,986,042,070,059,771,038,
416,238,827,044,875,642,144,973,598,187,271,443,305,394,279,308,119,223,615,
792,519,794,240,521,414,310,776,811,626,219,768,620,321,822,028,756,694,701,
993,603,212,451,830,185,341,012,280,971,290,423,398,191,706,267,453,874,783,
808,888,201,519,306,249,000,859,394,361,454,323,682,060,786,534,229,533,549,
456,859,231,053,370,451,280,756,498,471,997,715,451,573,145,972,275,787,568,
861,278,442,208,098,190,756,633,728,255,443,919,969,567,030,721,444,254,457,
873,109,545,747,553,806,976,263,320,422,894,631,629,071,591,013,476,624,322,
832,561,445,733,640,333,218,169,300,758,867,390,537,268,242,173,853,281,446,
081,827,934,895,795,518,987,232,813,246,531,143,180,304,699,973,710,170,370,
319,436,533,087,403,048,974,408,927,244,298,607,651,263,404,919,839,463,890,
119,687,204,751,214,710,983,463,489,202,159,773,034,567,684,518,184,581,252,
051,489,741,776,399,324,951,436,584,990,079,627,566,826,444,162,385,116,618,
202,846,063,174,168,326,891,057,698,830,646,715,656,020,740,739,462,352,775,
744,777,921,056,375,026,516,690,486,620,564,110,509,001,379,863,886,130,421,
070,163,270,519,672,609,316,173,409,193,029,226,699,090,010,541,775,854,069,
197,788,957,071,757,072,242,641,650,794,969,788,658,681,621,105,484,430,633,
808,215,652,012,453,653,209,713,316,136,365,767,633,253,444,461,659,442,455,
540,205,764,644,489,028,710,152,945,751,091,663,406,630,664,678,852,878,642,
326,561,978,408,965,603,060,386,841,108,835,710,508,530,415,498,550,528,280,
644,684,450,643,894,636,063,588,028,182,126,448,239,383,189,870,775,281,221,
395,767,989,979,900,824,638,247,291,572,549,808,034,415,897,303,446,135,734,
365,811,499,319,187,822,852,237,663,460,204,697,167,414,755,284,049,808,637,
555,763,210,600,566,014,686,644,318,283,008,335,682,018,866,206,216,510,396,
337,408,432,270,359,640,636,395,662,434,130,783,818,224,260,697,128,985,336,
825,096,303,132,678,888,271,833,708,360,550,120,503,896,291,734,300,546,954,
392,529,827,589,688,713,371,964,161,873,236,157,550,643,797,075,285,230,440,
244,916,673,670,632,027,360,107,892,462,581,089,192,225,180,745,286,910,724,
605,805,136,788,604,394,481,431,765,932,069,615,940,490,744,480,002,305,087,
756,942,933,916,981,765,406,050,524,086,207,936,552,212,616,264,797,813,482,
257,591,031,125,979,842,829,542,838,425,428,205,834,967,851,330,072,135,247,
986,606,099,789,449,229,562,559,982,348,265,541,770,195,352,627,097,290,330,
825,175,207,313,581,626,607,138,310,742,799,708,902,419,695,998,409,753,802,
536,236,256,930,797,860,105,635,261,716,731,925,286,679,227,816,796,267,765,
556,954,641,898,465,845,715,183,299,633,466,783,483,100,449,452,493,123,426,
968,665,307,843,213,669,201,372,168,710,988,638,428,301,435,760,863,788,105,
328,027,571,365,442,343,600,696,690,674,187,575,339,144,111,181,054,078,741,
016,393,565,759,984,156,909,168,806,004,105,340,124,128,758,258,736,629,500,
249,723,662,675,404,952,849,700,845,482,905,376,272,498,275,308,298,260,416,
630,841,922,973,699,352,523,175,402,475,546,636,527,778,613,281,083,285,953,
212,551,257,211,151,942,992,249,698,864,100,553,983,298,819,044,201,477,744,
186,539,307,981,201,966,261,613,933,260,830,684,167,766,055,138,203,298,488,
432,568,704,260,969,124,836,412,652,151,561,878,589,431,970,602,530,104,549,
165,808,467,374,450,012,261,648,288,580,861,334,501,893,791,367,916,798,370,
363,410,638,938,632,369,461,168,858,870,720,488,538,975,900,422,456,060,120,
543,405,204,961,079,584,301,281,876,721,795,810,600,530,707,724,953,548,554,
815,879,100,004,772,691,204,107,589,246,523,612,607,242,175,360,186,947,700,
488,451,557,830,809,376,015,311,081,550,962,694,531,681,278,479,600,924,972,
723,543,211,905,704,754,197,169,126,476,863,972,211,696,820,369,157,243,088,
955,163,957,835,678,821,365,881,220,124,878,830,088,286,213,224,262,792,395,
885,610,028,725,090,749,576,345,154,275,588,329,458,502,627,297,296,147,744,
351,829,483,186,663,713,964,376,742,512,317,173,641,859,616,025,613,331,948,
469,990,801,756,720,280,290,410,890,840,590,086,842,863,128,814,185,284,851,
865,067,690,796,492,363,343,522,315,046,476,158,675,752,736,887,034,241,431,
888,336,345,656,766,331,793,119,822,659,409,297,624,957,683,688,850,845,659,
561,312,731,405,072,096,393,579,259,136,037,887,831,099,501,277,517,254,232,
148,069,129,781,782,303,313,038,715,680,046,503,635,706,932,916,397,736,700,
028,636,285,788,685,862,819,327,474,779,236,495,011,646,859,109,016,914,908,
241,895,659,412,463,322,843,566,064,014,281,252,392,815,928,764,689,521,420,
734,169,292,613,309,242,842,148,473,842,645,885,283,476,746,785,379,663,328,
221,077,705,684,429,405,223,592,136,772,581,363,870,616,520,967,964,721,291,
736,304,248,506,804,515,994,286,997,901,477,540,195,529,543,480,640,479,797,
305,255,415,247,916,973,157,240,707,720,127,140,181,744,216,576,904,486,452,
463,870,875,293,841,476,535,550,263,551,034,987,543,757,998,230,143,860,770,
921,655,071,345,938,661,301,406,925,726,897,194,406,782,946,419,894,690,880,
070,353,721,099,663,779,119,998,695,303,089,228,415,331,481,999,609,947,356,
046,156,265,845,108,789,370,592,486,949,618,701,897,050,274,726,698,482,512,
602,196,686,343,759,492,010,714,769,918,358,056,202,998,582,666,094,966,108,
330,563,107,291,097,246,165,094,884,650,011,789,347,194,085,286,549,720,831,
956,991,330,167,244,672,960,291,745,094,603,821,679,126,492,280,780,360,968,
682,927,383,624,544,494,983,608,450,539,358,519,212,256,660,741,310,854,843,
241,851,435,978,834,152,218,382,530,009,550,385,874,295,048,911,281,927,074,
080,402,313,093,614,694,136,262,651,887,328,391,740,317,445,485,638,424,525,
086,777,459,808,781,222,416,277,270,588,056,688,053,772,244,988,349,022,798,
693,475,440,696,441,714,695,415,164,209,249,269,149,378,729,513,163,268,101,
608,189,714,026,538,807,672,605,500,018,503,270,633,823,587,417,732,700,448,
549,259,030,080,055,699,117,054,788,335,775,125,813,492,705,560,360,151,858,
057,351,598,584,347,980,344,860,345,634,795,604,898,762,597,189,089,327,341,
466,834,369,860,188,252,265,449,879,306,277,094,811,185,176,423,732,452,486,
779,655,672,737,330,556,534,127,368,121,822,342,389,530,239,783,138,164,889,
877,999,243,167,889,847,074,924,294,861,139,018,737,159,260,056,787,058,465,
256,888,059,145,040,502,951,613,004,894,913,541,007,959,364,742,535,990,419,
045,304,449,632,249,803,170,864,634,145,614,099,070,793,808,895,661,693,566,
081,595,344,559,147,005,878,425,596,055,395,658,889,369,225,657,055,943,110,
784,664,124,340,802,250,874,242,941,079,413,351,278,529,828,354,925,006,529,
565,687,971,304,404,809,065,459,072,065,775,557,098,698,476,310,032,593,585,
984,368,483,827,808,046,108,638,814,216,380,391,678,304,524,665,541,548,637,
043,288,063,302,854,012,972,947,661,730,756,209,642,821,508,917,424,457,024,
622,456,806,150,504,299,949,417,685,846,935,913,662,900,624,389,952,187,203,
073,368,288,518,521,890,100,938,393,404,039,480,747,305,532,324,723,185,971,
037,005,130,500,343,653,757,018,683,850,870,285,971,884,306,340,807,151,875,
099,465,090,398,886,722,521,258,930,569,050,456,492,159,560,771,931,946,369,
667,345,487,200,141,361,413,013,194,774,292,835,025,348,535,810,378,536,598,
417,565,563,490,194,613,388,571,123,415,025,321,991,064,010,106,601,985,773,
734,736,995,808,825,064,557,464,349,977,973,363,571,366,482,416,186,012,937,
156,299,846,303,500,795,414,036,038,749,089,871,109,565,378,667,162,115,211,
072,657,807,938,282,992,761,027,364,814,852,562,484,715,288,759,398,974,868,
589,066,223,969,886,899,486,931,689,308,111,358,172,808,392,963,179,357,234,
794,532,469,037,146,713,895,771,008,271,677,682,202,210,047,366,796,148,126,
634,953,196,364,521,425,078,040,108,604,544,486,791,075,443,313,027,595,483,
976,535,717,308,282,548,182,596,240,076,771,686,655,470,891,749,780,078,158,
506,562,189,525,911,705,758,939,603,273,517,788,179,653,008,996,444,496,828,
127,253,535,704,282,655,458,644,638,061,992,746,245,854,488,477,926,636,295,
085,199,617,182,347,008,069,861,717,747,663,271,959,684,359,541,199,193,173,
449,916,126,237,061,022,634,937,669,314,056,452,402,428,653,730,570,831,417,
023,755,244,370,046,401,724,860,674,069,194,079,037,467,493,576,783,452,807,
606,852,124,887,353,883,020,021,859,126,015,352,819,799,380,309,546,595,840,
984,136,425,678,514,050,916,531,303,849,313,487,581,454,023,557,051,625,873,
300,610,675,074,211,207,223,874,658,133,654,163,186,510,581,832,728,917,798,
656,805,499,286,367,110,812,114,685,505,240,290,670,789,142,128,596,552,273,
755,051,708,014,300,642,113,389,002,419,211,841,243,727,519,171,711,982,308,
838,957,281,878,305,573,604,737,722,263,404,253,104,894,871,462,486,039,555,
082,434,477,779,292,304,036,969,470,827,043,841,117,676,236,753,723,711,620,
452,766,944,807,594,262,976,382,840,702,239,869,411,309,599,114,587,743,114,
628,387,041,792,967,874,821,425,253,034,204,714,831,202,271,749,266,719,442,
593,570,112,006,436,643,368,934,854,433,610,411,598,360,996,202,103,335,413,
799,657,377,350,830,978,076,332,001,789,854,337,074,751,255,059,095,931,235,
304,097,249,143,998,710,406,545,011,185,219,204,829,243,762,427,081,438,005,
375,389,262,913,462,339,801,780,486,244,769,863,639,105,456,705,544,233,814,
533,063,595,325,181,341,331,528,060,265,209,138,764,322,398,443,179,736,419,
956,050,166,267,592,473,185,581,863,012,732,533,989,090,085,545,653,616,957,
530,859,116,421,510,908,166,715,693,222,400,592,116,699,191,929,966,053,390,
739,969,347,772,136,235,084,218,904,086,950,555,739,010,022,568,710,447,832,
841,076,228,413,761,597,934,175,300,294,955,558,128,383,133,504,802,959,700,
605,986,499,911,550,940,841,660,938,994,980,962,795,868,463,930,113,752,248,
053,200,499,957,109,418,013,112,796,263,903,647,759,162,070,048,469,321,286,
656,465,824,315,681,230,789,740,475,170,578,663,187,055,953,876,545,151,767,
923,125,111,912,215,219,614,175,650,944,736,509,809,653,411,847,391,598,472,
780,347,864,172,253,597,574,060,351,274,849,431,112,913,835,770,500,589,753,
103,256,492,125,144,455,756,701,582,770,778,529,542,064,674,418,660,208,037,
021,669,685,814,908,030,882,732,319,037,333,537,529,836,250,042,301,494,638,
698,043,275,665,654,507,615,410,834,805,262,223,410,531,898,203,535,960,976,
409,204,769,778,415,049,472,979,506,313,537,712,851,423,811,929,030,594,876,
370,309,582,396,538,843,222,669,309,534,843,519,476,652,450,913,927,498,230,
406,663,357,889,744,394,681,740,879,565,478,449,837,427,347,323,524,434,378,
927,799,062,049,999,329,205,762,706,603,891,714,925,756,974,087,691,107,848,
002,790,237,426,859,585,074,444,110,486,120,549,347,525,218,138,227,775,155,
553,849,458,884,243,696,867,529,597,865,539,792,038,078,261,513,373,207,684,
162,045,166,230,248,059,119,596,360,558,733,511,900,384,667,500,710,528,210,
694,111,071,454,398,198,039,419,371,536,932,646,051,134,526,714,093,659,864,
340,236,565,914,545,648,615,281,286,926,222,232,821,086,702,484,546,659,725,
732,507,629,584,181,088,736,300,148,020,584,477,042,768,147,281,449,502,143,
288,979,607,954,277,492,620,935,465,409,744,229,283,540,562,538,129,980,501,
819,119,784,368,992,595,291,133,895,163,521,696,480,680,075,873,726,879,754,
197,529,445,663,798,437,149,048,874,612,901,533,228,520,360,908,233,134,344,
331,890,359,084,553,542,308,176,827,384,859,551,322,945,896,960,734,398,089,
582,972,923,033,036,901,804,763,651,155,360,732,944,978,313,078,318,284,279,
627,318,376,649,200,771,389,533,351,726,253,929,401,320,325,441,231,738,901,
431,654,977,974,332,199,343,774,913,383,644,922,735,959,392,492,510,269,436,
526,098,233,955,507,367,116,107,347,336,353,962,025,386,942,482,343,015,416,
797,890,603,241,428,371,082,620,324,112,090,125,420,354,828,097,471,617,972,
250,792,441,680,570,394,475,942,605,214,442,441,129,586,344,416,055,843,129,
012,767,026,155,849,290,934,713,278,227,296,656,537,497,880,353,578,031,958,
406,806,416,821,089,768,113,019,032,674,157,953,474,170,954,367,612,844,533,
879,893,391,972,715,420,019,128,986,135,767,697,720,210,180,731,783,792,238,
671,890,955,521,103,283,546,432,645,964,966,421,551,066,367,677,126,668,710,
219,888,939,793,806,660,207,908,163,937,806,880,787,512,029,745,984,907,018,
459,407,151,189,779,057,589,523,198,140,463,199,090,221,296,998,971,915,355,
424,590,740,442,792,105,452,894,751,156,283,781,150,370,577,653,644,346,953,
758,299,782,547,825,993,432,003,155,651,556,693,799,138,423,998,937,379,228,
051,860,057,990,910,944,305,063,751,682,058,428,737,485,520,436,828,593,351,
844,495,875,496,442,195,242,067,325,389,173,610,969,114,248,396,490,970,138,
674,974,271,952,973,408,936,921,081,180,778,105,375,034,040,978,486,576,899,
013,629,223,888,494,785,838,133,318,709,947,277,422,477,438,751,162,057,263,
868,656,169,962,227,732,066,618,171,043,440,555,293,331,395,006,668,397,410,
892,373,501,170,143,523,213,715,225,268,156,508,165,040,533,206,891,892,073,
115,632,064,964,692,788,619,487,303,537,706,085,964,288,230,834,198,583,827,
249,984,220,553,442,565,823,910,258,764,640,323,205,633,294,010,613,442,853,
782,651,610,886,454,691,267,218,215,795,000,403,154,806,159,462,838,805,912,
963,955,653,470,490,918,123,678,805,839,399,936,097,408,938,503,604,155,269,
794,801,410,950,579,702,942,998,408,941,284,171,274,342,108,853,444,007,520,
601,733,342,666,370,051,620,308,145,681,887,370,285,329,977,446,987,367,928,
152,766,273,741,840,298,932,454,804,287,457,479,129,053,774,144,632,547,114,
854,627,070,239,982,623,576,478,353,334,358,311,659,966,084,414,772,968,344,
144,259,614,226,638,789,106,205,051,096,127,691,467,129,557,998,466,405,115,
659,267,403,832,878,473,795,319,258,351,584,625,189,150,363,134,140,760,091,
711,900,948,266,418,561,747,159,652,228,551,210,550,808,643,227,178,365,811,
560,970,809,682,272,529,682,467,879,687,545,083,088,172,005,478,672,137,076,
914,466,485,501,751,774,747,232,954,853,011,755,970,735,446,168,932,786,939,
720,827,126,741,159,198,867,547,710,068,287,938,388,802,418,816,939,368,362,
706,501,697,044,112,297,315,522,283,644,893,298,729,055,512,917,364,598,065,
712,261,083,075,325,868,652,862,913,029,039,180,619,814,595,357,575,346,919,
575,171,246,968,766,648,605,840,863,997,943,178,681,845,894,966,736,849,272,
982,596,190,900,435,866,205,998,988,047,528,303,074,208,998,833,012,333,990,
373,593,703,846,653,660,426,777,043,211,266,499,521,213,637,069,409,422,619,
876,298,418,870,599,295,631,551,462,455,133,542,527,102,894,326,393,241,709,
593,155,678,879,187,264,978,241,629,752,426,140,504,690,473,242,366,658,388,
681,947,085,743,668,577,845,877,665,942,289,795,122,071,271,256,502,353,153,
142,919,528,926,481,373,581,559,945,613,635,550,029,801,147,446,066,244,770,
695,748,460,677,696,895,328,195,987,674,743,894,828,026,619,797,452,871,141,
817,024,058,514,706,906,486,955,369,065,253,395,468,940,272,510,052,965,905,
507,533,089,438,123,513,983,820,533,665,510,545,545,241,041,180,058,167,470,
052,934,419,556,555,636,802,450,920,695,335,168,832,794,566,819,952,658,957,
656,866,338,307,892,680,254,260,353,928,550,448,472,165,730,836,466,610,998,
194,605,373,985,683,504,220,686,114,635,789,400,994,434,084,953,809,417,503,
503,716,074,804,904,554,374,850,174,967,102,703,963,591,925,412,447,576,780,
425,682,684,754,468,006,473,915,566,201,930,383,553,810,463,291,190,192,709,
778,588,101,521,855,578,349,554,080,686,592,214,293,167,504,410,283,016,659,
343,772,333,708,739,683,706,476,072,413,656,529,102,326,246,286,478,935,669,
029,300,897,881,871,586,454,121,009,804,132,249,339,697,017,130,898,889,626,
319,877,667,497,316,240,921,149,713,514,187,610,230,802,066,615,684,949,181,
678,616,415,501,968,477,331,442,488,886,375,880,792,502,763,653,653,768,168,
533,291,375,569,297,132,005,803,295,046,832,437,709,748,269,416,302,267,202,
217,533,495,599,688,428,478,762,657,244,944,545,879,918,649,867,662,354,675,
054,177,689,781,449,705,485,459,648,442,530,928,801,751,455,664,524,248,896,
305,176,870,083,578,742,034,580,403,311,229,568,428,079,612,658,733,964,991,
599,721,220,604,169,939,591,804,843,001,010,851,493,062,700,974,417,058,696,
243,151,609,751,498,657,456,411,547,731,149,072,070,717,229,819,049,523,265,
374,149,448,479,128,818,977,664,474,306,847,483,073,276,526,735,224,754,690,
929,594,879,281,836,583,211,093,369,065,066,173,946,475,295,264,847,931,687,
570,177,683,126,364,729,995,160,835,582,771,688,768,392,045,568,847,676,230,
551,319,484,502,492,980,044,670,035,308,062,158,225,879,464,062,028,580,876,
861,723,102,372,466,078,003,461,780,104,934,364,538,809,123,285,129,707,716,
144,963,707,184,268,538,414,396,354,144,091,029,505,709,887,124,041,815,810,
816,290,541,999,374,654,108,580,724,695,831,199,846,179,451,466,063,626,626,
995,630,616,833,729,077,390,412,587,951,618,859,247,209,433,309,885,105,233,
017,508,711,004,317,107,304,910,907,898,399,677,339,150,466,125,715,411,142,
839,798,628,193,661,396,765,321,649,734,466,379,479,304,872,193,327,704,902,
875,679,378,761,043,707,940,835,873,424,747,658,025,446,168,527,018,301,080,
773,325,791,136,630,414,744,869,272,229,189,867,271,075,709,680,787,896,666,
117,232,839,190,287,689,134,875,769,265,332,631,634,546,957,630,644,361,001,
117,347,246,077,645,045,595,492,947,391,373,637,091,273,686,648,027,748,718,
614,307,445,849,509,941,817,139,116,312,716,361,881,703,517,936,146,058,634,
803,965,616,071,474,889,913,991,209,238,822,378,243,314,194,341,744,028,777,
177,313,464,703,539,783,761,145,332,380,754,080,642,979,411,201,108,195,245,
669,733,077,975,598,682,602,186,973,582,333,946,038,722,914,567,730,036,637,
732,291,007,387,047,807,181,005,033,893,088,680,480,558,139,433,295,026,194,
793,372,653,994,892,709,941,737,405,065,564,892,292,202,741,016,645,073,712,
894,870,331,946,342,547,682,574,057,067,334,637,569,790,654,382,163,620,617,
478,133,778,585,293,112,161,290,875,844,585,978,903,469,200,669,199,752,923,
902,655,343,097,912,379,086,675,567,459,554,962,199,181,364,551,302,226,063,
162,325,202,922,444,605,492,946,101,723,476,588,677,693,714,549,226,812,119,
442,064,171,730,913,805,191,620,128,818,349,853,156,886,652,603,724,048,956,
475,856,105,079,114,826,416,954,394,635,943,071,590,379,377,907,311,113,451,
579,589,683,042,050,228,215,622,436,875,865,477,048,677,306,983,314,513,250,
132,443,418,481,482,197,385,578,557,058,758,116,552,494,356,973,627,380,357,
272,551,690,705,388,463,427,943,600,537,690,257,235,785,023,765,720,032,265,
584,276,342,125,110,382,958,854,091,428,713,380,272,438,038,328,710,525,884,
986,806,211,112,685,172,457,204,112,713,318,447,833,545,589,681,230,799,441,
851,493,450,303,848,133,076,257,931,671,588,313,359,806,095,947,201,252,673,
872,048,303,352,864,244,725,830,380,873,280,935,234,837,627,128,423,859,840,
600,138,706,640,639,913,570,796,375,766,017,724,522,517,253,739,039,078,521,
884,414,184,486,521,169,334,605,405,097,519,326,536,567,207,735,661,234,239,
088,894,523,468,814,784,406,627,610,318,444,040,643,003,295,113,185,400,017,
472,547,406,017,692,628,365,513,260,699,782,028,360,263,763,473,583,711,062,
825,458,797,590,847,223,440,044,998,608,931,830,079,184,219,465,801,525,653,
108,623,324,304,505,792,916,942,480,781,258,759,842,766,059,785,622,506,039,
390,811,960,764,491,089,335,831,580,860,794,173,287,278,852,304,688,939,034,
786,069,770,458,635,740,742,605,431,801,577,061,327,307,242,630,308,473,333,
113,407,284,921,232,572,724,981,009,482,301,939,557,775,763,188,709,128,192,
650,628,343,496,459,399,347,114,783,854,878,471,205,300,461,329,257,975,308,
231,943,218,936,322,736,791,446,370,588,044,808,803,327,206,327,442,393,716,
309,218,689,448,512,518,576,757,159,126,044,264,773,956,229,407,070,163,704,
984,334,989,571,571,234,319,284,412,367,443,643,309,886,380,313,744,825,285,
008,061,728,722,083,632,466,083,428,487,251,506,539,864,487,801,280,637,804,
184,271,480,233,676,991,311,883,159,733,214,582,720,237,744,990,417,445,064,
351,239,538,328,046,237,373,159,565,201,388,986,077,889,870,809,434,295,675,
927,416,181,750,207,792,209,701,452,427,723,693,832,180,572,485,158,548,317,
931,593,741,763,707,174,489,377,886,009,455,611,631,986,623,377,928,937,497,
511,275,212,933,674,510,069,744,528,920,928,493,492,562,703,237,774,989,589,
328,012,937,014,440,807,150,057,234,329,044,308,288,863,457,595,604,364,941,
834,023,048,824,161,105,454,602,539,380,715,556,984,366,121,592,988,235,561,
331,108,523,154,084,020,985,948,404,696,095,006,470,820,875,263,583,186,568,
797,412,308,909,553,203,164,635,464,139,751,991,929,127,173,823,349,009,561,
137,883,531,881,519,641,175,549,924,474,592,201,599,015,923,300,163,677,484,
239,573,256,593,199,018,442,502,342,156,364,564,650,104,172,038,111,373,288,
456,742,237,888,435,395,129,779,788,166,787,831,389,497,140,205,100,201,797,
444,334,923,160,308,398,575,687,842,440,888,593,134,308,133,064,238,601,150,
477,273,619,445,564,795,790,763,791,453,867,874,534,818,110,591,708,442,697,
414,724,387,042,814,909,364,906,490,526,025,916,263,243,781,991,780,907,384,
747,520,663,585,715,726,265,647,594,941,009,618,219,057,048,161,892,180,908,
418,556,816,396,500,203,217,602,515,421,698,687,893,811,712,474,633,062,446,
435,885,478,896,208,345,034,060,932,164,936,993,825,955,412,081,199,827,764,
285,019,970,921,197,346,674,597,233,999,350,041,650,572,693,291,006,544,969,
077,423,374,493,126,526,224,252,029,911,346,054,136,300,596,504,618,336,299,
724,836,849,146,654,938,873,913,916,183,425,221,741,220,181,698,527,316,859,
770,985,212,637,492,118,506,292,486,050,148,656,988,521,784,375,990,181,151,
683,797,507,179,405,975,971,796,133,451,747,499,309,554,951,626,679,809,793,
136,597,232,838,747,549,186,717,267,246,627,763,096,940,528,479,886,510,364,
127,846,648,114,239,557,976,707,400,345,085,505,664,983,348,347,408,935,564,
146,052,180,320,977,233,807,009,444,108,471,687,718,953,933,480,517,662,004,
366,036,726,064,612,878,635,136,265,164,844,123,338,611,833,059,114,269,883,
333,513,464,517,520,195,028,256,387,573,306,757,936,187,506,603,895,813,500,
672,734,134,630,484,938,771,612,130,166,791,612,158,576,297,795,026,703,341,
978,166,475,429,047,582,789,226,713,050,096,834,609,704,247,836,145,436,620,
233,987,394,457,248,894,764,685,376,698,837,639,999,945,468,894,364,887,533,
324,197,031,453,135,158,735,485,128,471,498,438,051,040,597,036,215,641,891,
729,210,918,966,075,993,530,789,718,105,727,614,447,080,564,274,093,654,952,
131,713,058,100,964,862,286,827,280,446,990,023,746,704,169,352,505,791,875,
653,046,355,184,263,868,439,709,147,750,974,167,248,276,398,220,063,182,801,
700,870,342,441,117,597,361,036,658,172,331,404,404,242,667,490,081,760,571,
756,315,467,950,065,402,929,517,977,078,943,878,715,729,575,995,402,143,779,
148,290,530,048,811,566,027,482,658,135,498,897,519,549,612,517,466,346,089,
264,765,704,355,083,914,876,339,035,929,390,528,404,262,236,184,575,981,038,
565,693,615,392,059,637,429,206,129,705,771,702,874,500,101,695,555,338,375,
152,219,937,501,796,681,832,330,881,256,861,107,820,487,137,166,013,495,672,
437,118,631,856,395,788,737,502,640,470,985,147,802,821,332,152,759,892,278,
631,419,713,850,145,958,762,849,215,950,392,131,707,535,804,842,045,660,322,
276,521,098,265,573,179,592,704,626,967,306,186,987,271,203,155,083,871,258,
333,431,229,507,915,326,042,404,761,277,910,582,280,000,226,980,368,707,467,
972,798,186,459,289,651,148,246,536,824,175,434,142,911,985,416,337,384,073,
849,267,050,078,917,962,237,801,278,773,560,176,628,224,226,918,565,100,340,
103,103,977,283,202,198,926,968,142,931,850,271,640,780,159,920,705,840,145,
677,484,713,633,246,822,864,148,112,300,285,898,186,030,394,387,657,192,937,
301,425,850,721,721,941,689,126,258,067,945,825,193,963,348,079,526,337,207,
138,771,466,147,475,308,566,430,750,164,649,890,244,130,853,856,523,099,141,
603,616,149,681,447,607,628,011,101,350,727,684,916,989,004,101,423,618,913,
038,499,935,161,994,463,076,526,760,911,282,862,083,530,441,853,005,867,817,
439,437,316,361,221,558,795,744,103,727,324,358,454,687,080,012,558,247,623,
886,169,762,645,258,529,098,322,697,108,399,240,327,385,754,915,099,758,109,
207,129,917,215,119,153,259,921,407,740,387,701,006,377,791,994,339,765,614,
998,660,134,926,876,922,595,386,062,102,599,350,666,530,044,365,852,953,157,
034,224,383,327,011,078,944,110,425,490,781,179,864,958,925,828,140,527,838,
825,024,237,987,612,890,984,102,093,931,303,428,943,386,600,902,594,230,791,
346,441,486,210,924,611,574,734,318,206,971,172,431,558,320,349,739,927,474,
888,892,551,780,205,044,224,637,162,706,398,210,230,010,072,203,250,427,812,
120,260,498,892,754,908,695,167,368,971,723,977,652,947,693,322,193,507,847,
617,278,962,227,805,227,225,410,254,573,106,209,970,509,573,630,740,093,128,
862,818,208,224,960,552,093,116,732,462,074,890,070,484,357,648,857,218,183,
449,564,233,465,226,000,007,929,853,409,786,744,857,302,387,392,172,988,173,
576,445,250,162,977,983,265,171,292,546,511,040,487,797,976,677,407,363,910,
797,866,069,409,919,230,766,142,289,913,825,317,982,075,742,134,331,433,338,
573,352,881,727,002,206,355,621,299,156,984,847,895,139,027,795,525,639,917,
813,104,369,263,844,109,166,756,721,656,011,435,728,911,903,620,567,534,587,
948,837,648,579,755,708,604,615,372,906,651,916,304,721,455,561,863,135,461,
899,079,341,775,557,698,042,077,698,883,060,472,875,167,993,587,966,286,815,
196,206,455,380,849,185,595,312,614,200,793,162,220,988,729,308,553,695,870,
461,018,587,490,515,795,261,273,662,355,102,175,198,846,069,537,600,320,064,
264,931,921,387,006,501,191,763,088,657,118,094,247,448,819,581,684,175,178,
490,623,559,526,162,551,014,965,697,595,382,613,424,767,661,939,799,283,924,
760,967,001,822,314,092,468,250,168,865,016,153,286,261,092,890,194,316,624,
136,758,002,729,216,580,300,031,604,626,087,148,111,892,314,770,013,753,760,
055,225,459,677,136,652,557,215,908,291,686,731,737,805,944,995,813,496,918,
707,511,157,951,139,049,910,010,709,383,197,106,572,338,985,495,236,993,712,
586,486,795,768,553,575,218,017,313,355,991,685,720,159,819,268,022,882,557,
166,812,853,630,031,723,968,007,848,785,289,755,030,882,197,930,712,613,491,
368,337,019,968,657,143,986,467,057,993,346,580,541,313,630,797,965,253,356,
439,876,477,642,087,266,815,001,389,059,334,617,271,736,798,741,588,638,668,
109,313,388,450,824,672,763,509,912,129,009,911,819,473,591,744,740,496,528,
996,908,933,012,726,461,198,276,780,735,800,143,165,358,416,455,685,074,502,
315,752,183,965,969,113,116,726,257,092,479,775,260,405,057,291,696,050,684,
936,659,087,449,887,632,807,302,586,445,335,357,223,373,224,734,060,510,106,
337,341,573,706,723,050,738,439,908,576,574,599,289,391,924,731,898,116,112,
438,122,459,040,404,716,897,175,046,969,765,788,842,095,974,955,767,376,405,
482,409,452,768,698,065,026,982,017,363,773,927,052,380,623,305,717,418,250,
072,909,677,978,804,060,876,959,264,594,862,244,951,290,784,614,952,183,873,
600,052,415,975,420,937,223,188,525,641,140,967,876,982,870,482,912,420,531,
080,265,523,621,396,855,857,610,827,742,047,347,886,331,606,133,364,819,048,
725,366,646,811,581,950,461,371,083,439,842,789,442,274,826,882,742,303,545,
191,910,385,870,182,401,692,905,631,060,457,980,164,061,540,686,817,508,923,
757,666,897,432,126,196,872,597,733,497,586,389,560,833,952,998,257,095,540,
432,669,446,199,707,506,490,455,747,417,258,940,106,611,595,050,347,697,622,
160,451,697,048,672,098,139,060,131,154,431,825,360,339,481,211,599,802,038,
521,895,358,424,673,073,803,303,196,695,300,771,055,637,594,583,983,429,774,
774,942,225,360,340,433,288,685,054,599,144,976,167,176,993,864,693,143,524,
771,244,042,599,811,181,417,909,416,570,343,710,682,721,212,097,171,893,470,
787,999,867,512,919,482,763,259,834,685,641,097,121,333,219,410,869,412,340,
113,002,161,403,057,937,189,176,637,496,183,401,269,821,382,899,195,577,961,
830,656,918,636,497,723,376,625,211,114,779,580,200,976,423,522,296,767,814,
963,326,488,735,342,980,806,979,848,791,916,583,329,864,355,509,621,174,842,
528,793,569,278,916,381,770,291,326,978,901,229,487,134,655,112,971,127,295,
406,924,736,148,238,443,732,154,931,935,941,848,093,152,798,002,103,022,343,
533,873,039,058,115,880,802,757,007,003,938,496,185,903,550,543,439,234,606,
827,200,727,629,230,029,797,901,275,029,613,251,842,369,347,028,666,419,812,
317,797,599,695,591,488,911,078,585,589,602,311,125,443,352,646,699,431,103,
375,030,356,667,604,510,783,149,098,145,020,983,146,139,574,350,097,974,564,
819,964,126,521,226,216,160,571,697,454,240,361,052,367,352,340,674,517,449,
654,769,842,169,690,951,757,680,715,451,778,355,574,979,486,676,299,626,750,
400,275,003,408,374,045,540,946,548,481,895,487,242,549,850,915,480,904,935,
633,749,949,606,565,911,286,653,181,957,521,894,775,829,208,608,860,682,355,
674,396,548,424,918,617,798,846,693,647,942,084,977,905,748,064,498,195,666,
943,971,411,472,213,826,189,126,767,216,431,174,157,486,727,469,527,767,570,
326,944,342,793,261,871,083,338,745,314,820,596,391,614,733,952,447,217,581,
654,441,802,437,177,880,255,360,753,979,389,289,014,357,403,703,702,530,554,
873,391,595,571,019,307,755,503,424,903,705,690,606,179,044,300,378,381,854,
740,305,722,899,579,328,343,109,426,478,159,754,230,507,841,396,164,597,629,
409,088,635,474,521,019,996,944,781,858,631,669,658,911,703,542,514,124,842,
696,642,638,148,108,974,836,789,926,731,179,290,930,717,528,176,968,705,569,
234,968,864,249,164,587,155,708,140,667,143,195,717,336,299,360,137,362,710,
920,910,026,172,026,257,718,700,202,639,613,052,077,295,965,785,038,411,569,
964,472,468,743,094,169,162,570,639,177,536,240,797,903,384,831,739,246,998,
768,390,961,185,911,504,776,530,091,535,776,521,726,812,404,402,436,493,907,
285,804,051,450,845,798,160,568,604,498,835,407,823,390,224,796,509,936,367,
614,338,196,724,361,486,650,897,024,680,461,766,157,387,527,531,666,283,929,
342,426,839,818,415,811,531,100,114,396,878,889,134,913,431,384,446,330,678,
503,899,550,334,873,993,168,919,486,892,897,433,851,106,309,528,336,213,258,
092,353,427,125,084,956,525,682,422,067,321,731,607,218,620,941,712,926,447,
708,006,620,182,008,450,783,144,033,034,285,216,111,840,924,088,167,077,118,
158,262,403,570,681,629,805,833,672,494,933,901,460,908,597,875,662,486,034,
256,365,273,531,760,407,321,631,900,296,474,728,337,885,801,577,437,260,536,
103,633,464,172,113,303,173,037,756,358,255,832,988,317,319,560,704,421,005,
629,297,985,912,550,848,434,426,641,538,860,197,298,540,627,226,553,966,672,
309,819,906,984,369,698,657,953,664,135,772,173,546,598,728,221,725,436,706,
264,510,744,348,220,628,366,545,714,579,944,848,648,384,437,736,649,072,974,
664,091,691,605,295,195,097,657,313,896,055,284,333,242,947,455,908,278,329,
447,518,412,650,499,411,717,714,004,069,939,443,253,419,176,670,820,003,793,
854,193,997,203,968,422,555,265,525,516,992,099,480,731,287,969,547,466,391,
209,397,273,721,651,557,916,238,172,567,157,410,828,207,439,996,115,375,252,
344,624,660,566,825,688,049,034,262,949,279,363,510,427,635,987,925,043,711,
233,839,192,497,219,866,949,395,045,703,718,204,908,990,897,946,183,729,545,
980,534,487,868,900,929,397,999,942,255,395,989,144,769,244,927,889,088,707,
610,064,982,241,943,169,803,757,488,043,831,433,105,558,849,543,582,635,970,
831,621,884,481,827,954,333,959,950,885,181,080,309,289,357,285,243,571,989,
609,607,060,501,524,747,950,409,225,238,959,218,440,369,199,010,170,734,852,
558,896,731,361,288,116,215,758,901,663,695,967,635,779,305,493,125,487,365,
413,775,435,154,952,412,738,336,678,562,967,678,963,575,415,423,600,482,397,
242,087,792,215,408,562,616,075,011,186,515,845,404,681,337,288,977,101,889,
349,487,918,540,327,382,545,737,145,436,552,467,545,514,072,972,881,488,957,
285,562,683,342,729,113,081,018,973,687,682,916,729,030,972,434,424,064,540,
207,961,742,952,357,133,816,802,178,922,185,797,838,120,904,713,572,564,316,
131,846,041,546,476,182,479,132,949,783,097,552,645,089,817,745,466,862,737,
455,217,975,019,990,617,351,373,778,373,871,435,532,215,395,817,274,228,983,
731,804,999,389,651,662,286,722,348,409,057,561,290,688,653,785,380,595,418,
029,938,432,542,002,644,161,358,894,441,665,753,248,023,582,545,994,231,601,
967,269,627,515,745,461,155,293,532,528,881,263,701,336,340,608,154,909,694,
598,608,365,925,913,609,426,812,348,230,976,357,101,498,739,000,148,729,882,
718,812,986,269,981,537,694,150,622,935,119,771,335,483,305,435,839,238,354,
019,248,752,695,045,217,410,565,559,240,621,940,195,905,193,394,338,812,167,
792,965,208,066,244,584,428,913,537,854,312,917,642,543,075,484,653,188,722,
069,878,173,553,214,279,917,477,455,474,222,105,199,257,129,673,242,736,877,
722,655,685,255,989,659,153,886,773,426,227,409,885,764,672,752,501,469,159,
051,610,097,361,413,559,209,809,507,781,073,387,086,818,535,298,138,012,203,
602,010,573,014,687,446,686,375,621,903,962,221,818,358,288,480,777,036,690,
203,814,135,682,364,139,432,390,451,624,670,566,398,085,382,951,214,671,418,
529,328,471,909,756,561,368,754,009,750,300,332,089,506,437,727,820,675,592,
984,186,232,118,412,426,691,340,865,323,911,487,140,308,583,876,871,702,914,
645,987,515,445,075,496,309,334,583,586,585,599,282,507,494,430,958,877,142,
111,222,103,022,068,722,353,927,199,027,283,840,100,867,584,522,942,000,178,
331,762,812,717,759,550,323,811,726,968,679,578,707,716,852,295,221,428,594,
213,088,670,893,719,006,093,897,220,944,941,902,431,178,569,736,536,077,581,
504,907,254,450,120,681,403,062,120,003,920,522,405,197,441,553,066,743,683,
360,872,037,565,757,872,971,187,865,930,373,976,555,063,778,658,934,785,799,
332,616,974,516,992,704,219,780,769,178,768,520,253,932,846,980,741,889,807,
816,872,433,537,797,057,922,601,368,331,397,204,770,700,692,429,470,535,029,
775,545,926,556,112,994,663,193,887,038,519,121,697,282,518,548,122,380,270,
397,218,026,250,773,114,457,125,063,184,302,287,754,479,755,356,015,373,960,
059,739,827,978,684,203,508,462,037,246,451,640,504,268,406,750,444,162,267,
692,618,665,845,944,943,054,168,565,772,238,975,902,431,924,008,209,887,724,
521,077,706,341,528,697,659,530,376,400,302,305,002,014,604,621,668,206,941,
493,826,242,834,891,691,913,036,854,911,929,113,613,311,298,713,167,386,757,
869,262,967,535,693,760,775,838,702,591,298,631,216,936,130,991,713,908,632,
528,373,780,354,993,417,631,075,849,500,510,581,153,717,559,672,267,564,047,
779,899,602,670,682,078,704,223,285,420,607,039,181,295,282,494,226,740,000,
920,837,758,734,340,733,321,025,384,085,042,490,411,089,371,921,642,363,964,
887,778,474,269,431,955,851,133,551,017,412,597,499,010,619,324,062,807,857,
241,662,376,047,141,626,123,635,853,147,352,700,711,853,169,276,095,085,028,
692,513,944,612,312,851,335,278,373,697,111,282,140,618,942,118,766,237,726,
965,950,700,948,574,323,828,498,837,631,237,646,620,521,750,112,755,636,826,
469,096,066,890,380,101,786,282,764,446,605,045,020,386,694,080,812,569,093,
935,838,877,363,033,352,299,983,692,002,057,125,290,426,183,732,071,851,056,
137,302,720,370,169,755,480,918,342,177,098,816,350,006,330,818,976,712,317,
776,758,747,317,879,919,094,544,395,125,302,149,754,958,037,572,075,710,839,
176,820,167,589,333,484,223,942,642,108,763,203,585,077,863,208,200,950,653,
315,329,434,990,650,180,985,361,629,942,652,558,728,179,236,171,335,614,361,
485,947,345,730,751,382,650,510,322,560,882,105,208,342,553,805,065,054,199,
974,962,891,041,916,779,866,758,877,787,423,556,764,701,774,582,126,818,648,
144,730,276,255,670,646,934,414,742,700,696,435,381,732,754,639,640,812,472,
201,046,671,234,870,397,615,891,681,131,838,778,899,875,563,455,609,311,169,
345,154,048,307,373,676,991,836,824,365,017,305,460,860,498,693,816,767,026,
631,498,452,710,694,801,887,822,091,988,587,855,851,882,219,840,752,477,554,
437,424,379,268,583,592,608,183,728,358,550,724,693,928,263,988,368,739,818,
139,361,915,617,660,013,237,663,557,817,798,957,527,462,992,451,577,232,945,
632,100,577,460,795,375,034,337,042,013,522,839,984,625,052,270,538,325,874,
839,267,484,161,656,017,252,222,315,676,776,326,746,617,795,775,726,282,523,
715,656,163,014,146,598,768,824,691,815,280,648,764,591,744,069,757,095,002,
760,345,901,046,230,228,787,311,286,549,345,177,497,659,160,970,992,350,451,
749,770,095,817,289,658,874,029,738,462,147,027,896,661,053,902,559,698,115,
841,870,774,252,267,929,864,216,428,647,512,541,069,802,332,271,196,462,450,
190,055,875,398,998,069,724,462,996,256,278,327,699,909,145,265,780,940,409,
059,227,476,597,306,096,989,177,093,474,517,637,309,985,091,896,698,206,001,
868,117,246,166,562,553,339,227,460,577,298,398,460,540,196,974,230,446,168,
388,766,044,282,445,034,637,865,385,597,747,939,150,130,152,076,313,706,390,
628,233,258,003,097,772,883,469,146,166,102,830,786,070,660,609,622,224,845,
109,623,177,986,979,361,204,642,277,582,454,255,244,658,999,330,254,665,714,
360,435,758,789,117,910,962,231,539,910,724,742,547,381,401,195,414,905,850,
918,836,286,958,066,333,213,516,482,963,112,724,664,755,088,336,458,766,901,
843,525,353,166,943,689,309,977,906,375,053,679,840,107,867,746,841,680,905,
773,106,982,720,567,078,016,589,739,334,140,823,087,056,511,262,949,988,323,
924,691,885,047,668,955,178,958,711,394,003,318,266,744,272,063,225,248,317,
883,622,806,873,937,319,839,048,770,595,325,057,073,282,039,752,628,544,742,
652,905,475,754,303,781,779,538,855,334,643,966,386,459,830,283,745,710,984,
390,676,887,862,447,357,170,310,991,694,727,742,759,961,630,836,536,859,845,
751,342,658,171,186,177,699,821,639,638,552,347,335,198,487,485,386,513,668,
151,271,174,776,972,950,922,295,549,062,452,832,973,226,244,502,690,835,480,
194,565,040,530,942,722,847,940,440,563,808,721,921,305,382,913,232,360,204,
330,202,569,991,394,042,640,993,886,856,350,013,287,832,959,264,596,478,230,
752,324,904,385,324,408,014,092,735,501,648,672,777,189,828,970,514,237,768,
390,262,318,468,823,378,222,958,072,819,622,634,387,558,746,269,615,240,588,
865,339,771,185,779,362,342,560,071,354,164,779,175,191,636,055,827,605,378,
495,913,144,289,082,280,046,089,880,631,324,239,621,738,384,115,592,654,243,
635,543,196,255,576,190,088,105,909,453,857,157,917,193,835,524,045,753,192,
749,904,503,161,531,610,669,402,096,802,778,837,597,537,919,448,078,441,528,
348,550,133,050,618,056,567,116,585,048,603,953,891,878,173,649,403,678,843,
565,600,145,015,874,473,243,349,833,148,913,024,915,636,959,739,514,306,207,
092,929,158,762,336,190,133,447,921,680,570,648,744,081,263,331,660,624,475,
289,735,393,092,940,283,559,003,590,422,696,769,527,174,756,700,395,722,429,
176,130,095,721,403,070,614,076,800,934,248,423,336,056,377,418,791,642,040,
427,351,814,614,865,862,154,553,934,612,823,089,697,909,320,588,822,361,122,
254,903,562,290,001,918,553,186,038,718,110,114,216,506,348,613,871,059,831,
318,922,892,086,296,845,787,471,913,299,945,063,636,139,457,244,569,752,344,
838,498,194,154,350,771,528,357,281,902,917,461,121,255,040,763,457,935,285,
037,109,559,554,037,626,152,325,999,164,051,545,390,389,487,470,324,536,932,
693,942,093,135,607,469,999,846,643,298,986,177,737,050,924,145,689,819,609,
790,442,493,220,958,027,839,491,577,376,509,742,881,166,457,852,730,692,576,
147,174,756,678,352,032,566,049,433,034,776,991,560,747,867,649,958,493,594,
868,986,746,862,263,504,538,871,274,312,794,757,748,650,906,951,388,088,849,
220,277,772,209,892,282,507,392,225,593,182,730,448,219,529,741,879,403,548,
343,347,731,065,587,703,092,094,367,924,312,098,466,627,137,880,324,268,021,
329,742,000,134,057,659,536,429,469,477,366,232,660,934,028,076,738,639,898,
715,853,657,848,253,964,567,643,138,402,803,414,151,432,279,382,458,321,192,
661,026,225,665,076,959,154,164,304,596,617,805,875,488,008,238,883,390,530,
806,405,514,658,696,755,974,493,883,894,084,643,550,963,074,958,486,149,125,
236,574,334,775,214,730,458,259,293,963,578,747,241,684,903,695,330,967,012,
624,671,875,365,469,553,436,659,017,828,905,375,237,066,693,777,522,771,251,
989,823,965,690,582,347,705,812,684,977,802,872,440,152,268,194,524,204,551,
754,905,047,601,927,052,666,069,345,773,791,329,831,134,558,524,772,912,146,
693,241,479,930,155,335,399,944,552,592,226,506,181,032,077,622,183,877,928,
132,339,416,235,880,567,344,161,427,988,175,625,582,465,112,672,817,679,687,
766,881,524,216,133,934,984,207,419,690,782,675,937,099,021,044,691,396,796,
631,202,818,594,281,727,861,376,941,700,996,702,570,212,657,125,005,209,468,
952,983,267,728,320,599,930,617,799,920,790,765,869,627,805,530,188,273,684,
845,622,541,897,388,672,463,594,155,476,505,451,367,708,516,182,946,407,723,
968,875,050,021,858,385,987,743,367,778,157,931,547,173,038,840,822,983,051,
502,906,026,509,414,733,707,671,849,126,143,163,356,648,135,457,788,103,932,
370,084,561,428,065,729,148,619,291,568,042,753,828,872,803,290,230,855,065,
685,371,440,848,229,390,821,784,844,951,990,290,998,338,260,352,370,441,674,
780,911,254,316,562,591,329,522,419,209,463,631,177,796,748,710,501,674,898,
820,642,075,370,704,267,328,934,751,339,566,745,388,371,244,533,774,051,128,
649,893,659,524,457,150,766,324,118,086,032,900,350,117,102,720,196,451,840,
338,757,051,862,136,283,847,921,938,575,052,713,313,934,708,664,845,891,571,
499,944,950,983,642,581,608,522,207,336,137,821,978,999,105,485,240,318,773,
905,829,390,453,567,903,655,773,908,311,518,224,461,743,476,942,795,181,776,
292,432,735,477,833,500,512,466,523,346,087,759,000,329,285,798,052,105,030,
321,152,421,324,342,624,765,712,562,074,261,081,228,880,650,325,378,245,527,
950,358,828,506,133,951,389,772,962,626,083,562,429,652,963,038,473,429,558,
040,629,158,551,651,575,028,440,306,889,251,075,179,754,914,577,130,388,697,
132,931,869,301,085,029,339,066,771,993,964,542,205,564,416,857,718,374,485,
777,732,434,320,768,097,893,229,419,946,066,087,104,505,172,118,667,546,725,
719,313,633,494,132,094,809,651,686,285,212,348,394,397,477,203,825,966,315,
059,067,087,493,163,379,069,871,097,041,368,481,284,534,647,511,940,878,849,
783,733,401,051,719,477,354,215,435,141,504,316,742,767,533,295,688,211,923,
684,680,555,598,647,423,475,762,170,457,095,868,502,056,779,532,636,496,720,
364,636,965,472,300,179,946,408,310,175,953,044,975,741,905,424,752,490,456,
659,547,842,187,520,470,588,424,926,921,342,102,408,256,843,486,044,851,531,
252,702,968,281,616,888,058,581,439,985,542,799,347,681,147,178,868,712,988,
165,364,010,539,447,663,175,201,429,498,985,751,778,252,864,028,977,891,132,
632,926,471,608,502,138,654,648,282,635,883,709,106,039,865,796,808,996,562,
987,555,790,814,346,440,679,559,576,147,626,957,062,170,137,448,284,540,040,
633,074,006,419,176,251,237,960,590,234,066,280,795,043,061,157,318,088,367,
431,268,496,267,929,999,105,635,942,741,244,096,299,962,563,335,639,024,191,
834,847,229,498,831,614,835,090,384,506,639,322,623,922,296,165,306,017,069,
025,602,322,211,024,664,863,938,895,740,609,550,058,372,996,180,997,158,918,
267,868,771,497,682,319,801,581,671,682,615,066,769,633,610,248,650,455,015,
246,940,376,376,818,705,398,701,758,525,053,335,991,856,804,083,583,814,854,
157,851,761,593,147,421,200,149,464,020,151,105,705,683,253,562,828,807,639,
138,456,598,696,764,447,160,787,351,329,039,624,150,529,785,484,660,625,285,
103,185,046,511,080,511,608,222,292,873,394,741,165,254,113,210,595,193,231,
285,563,063,481,598,529,252,336,789,940,291,821,100,799,764,472,293,790,050,
230,524,550,033,679,641,175,151,488,962,633,089,946,623,542,754,589,624,026,
498,847,088,409,411,876,687,028,009,011,356,151,841,615,017,346,871,248,095,
780,926,531,633,397,481,278,406,875,222,851,983,411,632,894,360,072,093,558,
823,525,978,976,160,372,090,133,406,219,564,900,949,473,017,180,383,832,382,
262,015,031,647,758,236,866,513,256,686,611,796,724,730,851,149,957,628,328,
230,058,006,962,671,069,799,995,556,232,003,444,594,654,633,247,360,260,629,
444,213,210,386,408,813,395,557,983,327,330,287,361,536,120,625,003,221,234,
740,987,200,707,077,500,623,529,740,894,023,699,783,255,285,429,307,633,778,
141,093,970,745,035,207,386,629,018,741,547,245,577,848,985,990,205,976,990,
027,503,726,276,713,472,190,760,775,620,540,067,814,773,745,569,417,295,782,
724,737,213,037,244,823,208,006,004,523,863,590,621,317,493,782,048,430,779,
415,622,430,507,985,100,481,957,219,415,383,887,468,896,419,860,302,049,327,
657,822,079,498,204,234,261,278,999,492,343,997,412,335,362,436,269,228,393,
439,091,092,726,408,090,199,700,463,262,547,621,036,414,396,945,657,726,155,
601,012,346,628,442,611,652,649,173,409,288,425,580,699,945,562,953,367,211,
200,513,811,534,188,953,631,466,245,207,694,618,713,817,861,398,814,695,167,
414,472,947,821,548,064,233,923,005,588,227,338,220,634,236,282,005,530,775,
752,549,358,058,235,791,045,359,763,150,353,153,926,632,246,903,401,366,433,
356,757,407,151,331,620,981,278,425,307,475,207,260,580,142,390,810,504,196,
942,319,216,138,774,637,557,302,771,012,445,235,656,855,572,798,485,536,064,
298,538,866,446,237,189,227,661,814,883,454,381,417,087,313,975,000,893,669,
355,834,929,190,052,541,128,844,998,485,752,582,403,474,756,727,863,364,515,
559,305,345,967,485,111,148,131,335,224,657,967,403,942,968,102,244,589,546,
302,480,083,314,946,733,074,629,217,534,349,719,217,209,620,369,702,282,080,
982,009,432,466,429,742,030,839,908,243,144,850,487,527,127,183,269,094,608,
525,400,422,034,354,294,227,906,496,072,686,887,868,888,163,222,179,794,183,
301,526,362,613,194,883,983,000,785,956,465,793,937,771,227,271,766,008,289,
552,223,390,627,887,666,247,477,842,858,068,295,226,752,795,343,292,984,411,
015,393,541,115,563,516,890,540,410,711,341,476,528,209,130,034,546,435,949,
241,921,633,866,671,145,392,738,327,744,589,325,243,381,187,459,751,553,530,
619,422,579,223,010,862,954,988,769,177,745,941,480,849,334,157,193,171,177,
203,785,072,344,700,029,084,025,943,886,156,943,858,049,988,927,243,227,778,
630,400,304,190,899,869,420,346,055,412,272,100,451,449,964,169,597,447,225,
678,004,217,151,021,121,706,595,717,585,021,050,950,567,563,201,309,915,100,
377,827,848,964,915,999,957,241,200,341,251,007,478,724,702,726,468,066,748,
056,517,602,316,197,692,945,718,196,092,293,245,356,961,748,549,118,522,982,
058,636,724,454,140,675,402,407,426,260,090,078,726,399,400,161,652,773,939,
040,827,231,207,857,918,814,066,364,753,770,097,114,190,689,641,890,212,962,
711,202,569,359,570,371,902,895,890,357,180,208,940,818,386,024,517,208,174,
808,428,536,794,993,053,394,690,551,116,595,723,638,488,289,903,051,997,572,
488,712,590,573,536,219,649,896,194,559,259,917,368,681,888,659,038,433,542,
452,888,954,555,186,204,870,106,304,607,500,138,281,401,172,405,689,313,706,
257,836,733,915,603,274,432,394,782,162,838,870,643,492,163,542,641,676,233,
580,716,512,040,612,864,953,337,554,611,522,246,216,584,952,532,989,106,530,
228,697,960,283,832,691,103,905,977,871,708,210,460,173,544,780,722,240,022,
515,746,325,489,484,072,277,670,232,732,190,292,506,039,869,662,848,446,232,
359,234,711,756,585,460,322,858,229,220,246,659,006,935,054,471,322,470,126,
242,995,526,195,120,988,790,498,930,101,616,453,201,978,164,721,659,974,700,
257,185,315,994,533,019,775,349,848,880,963,811,532,789,198,002,594,221,326,
318,316,084,098,426,805,172,420,921,458,699,243,284,932,464,501,374,023,054,
982,516,223,010,288,987,921,668,722,925,046,140,279,739,347,600,844,753,666,
867,984,756,512,759,144,704,471,647,073,727,841,564,989,891,670,956,008,104,
553,925,749,147,073,876,387,287,459,212,878,254,553,139,526,838,460,029,549,
108,396,507,021,370,667,866,043,171,623,263,309,840,446,334,333,441,300,058,
588,310,116,172,928,174,770,233,906,148,598,395,891,841,340,452,946,986,866,
752,785,023,575,156,499,705,005,628,864,668,312,323,265,300,047,551,398,422,
787,794,709,594,995,264,153,400,186,746,886,475,631,304,439,993,090,281,989,
573,748,354,894,535,285,337,205,552,405,792,301,246,019,774,311,304,615,507,
401,086,307,884,697,487,297,131,680,861,198,213,584,712,574,368,049,777,754,
983,366,607,574,146,738,223,796,623,113,200,903,214,291,486,287,642,490,818,
000,042,861,157,330,272,720,055,925,784,100,530,739,954,257,569,100,463,653,
232,182,171,563,262,122,376,599,755,848,684,133,601,688,294,648,896,796,977,
302,332,492,662,487,469,030,907,316,882,504,113,346,283,254,833,032,022,377,
736,730,474,654,954,820,020,144,314,244,502,957,357,199,397,134,751,161,897,
666,424,281,476,232,112,124,779,327,045,404,854,871,157,640,108,837,331,509,
954,684,540,397,048,902,874,051,325,302,932,772,277,570,385,319,803,343,129,
478,880,951,738,621,129,676,529,079,585,716,016,274,917,630,543,225,304,221,
280,519,004,321,539,329,665,006,245,417,385,818,821,464,937,642,174,870,064,
817,428,845,064,399,635,366,236,152,555,428,921,831,332,147,431,198,176,054,
758,808,723,188,257,685,821,233,038,180,841,538,302,743,712,282,688,210,068,
514,596,662,512,481,154,990,667,410,692,429,525,319,246,727,862,154,798,423,
218,159,819,363,997,819,087,939,514,175,600,231,461,858,148,813,126,341,863,
258,585,497,082,314,258,540,274,668,899,906,379,782,915,907,455,985,079,905,
593,372,625,257,615,878,095,167,503,699,313,649,974,345,211,702,170,054,278,
127,101,090,997,282,893,737,436,214,998,572,351,239,894,908,663,404,788,970,
340,277,959,391,180,316,861,564,090,286,456,608,097,153,413,653,469,859,975,
131,836,893,909,360,699,877,743,329,688,855,168,498,522,879,463,614,569,148,
279,163,500,350,972,303,048,943,811,503,019,750,308,698,857,114,940,751,040,
555,665,256,230,159,450,002,881,608,949,885,813,326,305,940,805,133,428,334,
891,067,259,160,072,693,631,842,797,435,698,168,968,167,877,116,068,471,352,
624,313,774,086,145,152,990,405,916,009,159,385,865,185,565,020,700,638,504,
401,509,980,503,162,052,048,980,919,782,487,525,691,211,488,167,413,781,910,
855,715,272,477,432,560,780,059,119,615,705,573,281,981,761,208,548,946,392,
075,179,509,997,038,297,356,998,630,801,704,161,503,500,805,619,242,275,977,
164,476,526,638,274,909,359,998,935,056,835,545,417,337,600,552,797,575,605,
799,103,563,529,869,849,311,161,299,714,463,086,648,558,641,135,730,496,353,
004,706,291,292,887,885,571,421,489,931,440,161,718,898,278,151,508,262,840,
250,391,890,823,706,801,134,528,141,178,872,071,786,023,326,557,967,859,719,
150,181,398,591,823,923,307,796,684,113,150,189,039,296,874,229,476,081,720,
043,675,104,824,885,929,833,990,219,756,931,088,871,129,409,487,065,454,133,
429,768,261,346,675,127,607,990,649,379,517,569,259,960,960,757,465,619,986,
168,685,206,381,170,227,668,305,565,225,998,766,138,043,207,226,755,109,988,
612,238,450,323,155,895,877,324,732,579,298,096,248,832,441,363,233,538,596,
537,538,122,006,808,068,257,022,222,953,628,820,148,107,813,721,417,722,636,
017,689,965,553,111,981,689,955,610,824,550,103,082,393,661,535,508,325,624,
629,185,151,128,137,280,035,247,185,393,986,567,978,172,252,237,300,556,864,
677,358,124,278,796,007,463,257,251,410,199,294,804,261,543,580,166,477,445,
504,661,260,920,551,007,245,407,696,629,227,580,895,042,112,933,920,392,198,
088,644,712,156,012,245,891,065,076,929,610,896,875,115,839,314,448,535,284,
504,187,105,383,836,332,071,866,518,325,155,883,131,461,816,568,766,697,962,
919,923,205,535,501,343,118,959,859,686,503,411,689,645,714,599,185,261,116,
368,807,386,388,565,715,332,338,537,708,224,067,058,187,143,040,222,061,103,
746,937,372,651,184,957,973,204,757,332,832,268,051,989,958,383,166,556,712,
414,651,910,040,197,398,941,104,422,583,069,045,357,619,445,858,207,157,254,
042,743,394,325,742,546,465,031,292,997,761,264,269,200,958,939,362,051,185,
615,340,406,382,338,468,607,074,547,745,566,275,046,211,560,386,529,069,829,
935,576,245,769,762,515,446,980,105,191,352,762,106,547,223,664,548,996,129,
569,019,922,919,495,996,998,135,921,844,784,819,454,214,749,894,883,543,852,
228,064,645,063,982,156,103,965,187,203,600,683,931,938,236,129,707,330,530,
568,976,518,988,637,114,724,917,115,402,370,864,820,828,074,658,403,415,911,
966,808,414,300,934,511,544,442,347,867,734,436,090,956,315,627,125,716,343,
405,751,248,740,444,552,350,285,053,315,824,864,423,210,485,995,044,221,179,
826,293,055,320,263,752,610,569,516,289,075,379,556,477,845,409,258,155,838,
639,091,997,235,910,101,143,720,705,648,149,442,578,792,930,766,240,105,047,
146,649,292,925,889,342,171,196,450,620,721,925,860,228,778,671,632,913,077,
243,834,677,678,016,047,127,081,565,881,845,080,386,564,289,615,826,116,831,
904,701,218,789,555,731,296,609,846,915,776,093,608,638,330,365,755,728,897,
602,892,745,813,819,396,453,767,552,603,839,778,758,328,802,586,417,689,757,
442,817,318,430,390,578,165,223,624,835,439,428,092,807,191,644,140,935,680,
840,455,380,047,809,205,796,960,850,328,426,549,331,774,143,007,237,016,240,
475,325,606,094,508,129,146,209,227,530,421,447,467,619,778,723,278,697,471,
749,551,617,500,805,219,700,686,506,384,055,696,185,928,424,319,190,299,702,
952,541,010,462,586,115,478,385,728,256,096,737,427,043,928,753,132,336,384,
362,976,298,240,732,863,481,344,518,547,244,019,284,449,843,315,361,654,142,
156,482,921,403,235,044,891,939,461,147,294,654,048,521,756,891,230,050,248,
059,538,204,675,314,225,622,106,132,619,379,492,612,490,665,843,659,504,530,
546,977,480,900,787,463,081,141,002,503,544,011,045,297,058,863,244,251,258,
834,450,218,515,788,883,886,691,517,911,027,929,531,322,950,805,945,829,252,
156,279,531,779,645,338,730,337,709,040,060,622,367,706,619,443,382,484,407,
181,170,639,713,910,372,823,244,432,006,905,830,062,005,583,090,348,892,425,
791,919,596,434,083,458,607,930,416,969,990,835,649,941,484,206,429,891,272,
640,319,448,838,043,650,515,026,105,930,578,814,708,672,144,480,303,364,782,
365,452,816,252,636,641,254,246,338,957,124,732,333,546,343,038,619,435,333,
310,808,773,014,832,180,985,406,076,903,813,031,401,717,643,814,251,197,377,
478,490,073,964,528,244,006,460,188,125,354,451,646,298,103,971,772,524,256,
399,457,018,726,329,468,737,977,385,249,892,936,986,559,857,882,498,343,760,
633,018,205,774,878,696,797,440,724,456,280,343,441,921,518,159,618,204,630,
634,252,802,680,280,529,903,015,384,827,258,779,610,065,674,106,940,558,997,
539,425,613,578,849,429,945,664,138,233,765,502,212,285,725,410,393,280,528,
666,515,968,239,204,207,412,408,995,932,838,279,421,713,602,523,372,406,316,
854,709,159,340,742,014,507,525,184,216,013,415,389,163,744,769,272,340,433,
715,161,469,692,498,774,088,026,079,924,153,011,674,917,811,687,044,532,127,
593,709,655,093,205,751,740,573,079,958,590,483,692,109,306,742,808,399,515,
156,261,456,089,292,368,838,040,988,760,817,730,623,524,209,531,947,958,014,
807,624,913,617,563,874,167,484,613,777,234,485,821,523,032,610,464,066,819,
004,620,583,985,133,947,965,895,926,210,017,138,449,511,063,928,151,321,919,
608,183,707,383,666,126,490,670,974,883,047,732,969,603,126,563,108,339,481,
069,542,893,150,234,642,369,923,646,128,788,334,456,915,679,814,555,326,996,
014,175,871,325,230,101,081,623,441,916,152,315,551,142,125,602,807,304,813,
029,924,155,956,920,473,143,880,089,630,114,506,105,121,595,274,584,536,036,
680,658,584,983,734,422,666,729,577,112,262,948,246,266,952,503,317,519,203,
273,456,686,095,014,054,930,186,379,875,934,074,154,868,742,864,948,490,241,
559,227,702,323,091,933,251,744,046,134,268,460,460,921,906,554,724,935,231,
605,959,052,637,085,498,597,427,570,234,979,974,464,931,495,767,432,588,609,
851,430,387,167,610,159,992,040,747,429,808,039,150,362,601,336,023,533,737,
486,933,459,841,550,916,360,987,210,471,820,970,647,341,358,024,498,759,745,
120,128,408,279,187,560,242,234,782,686,863,777,161,113,218,047,361,903,886,
972,940,166,434,673,241,468,879,190,584,240,792,899,264,565,277,141,347,420,
450,676,316,116,230,336,450,627,158,124,899,702,663,794,578,505,753,438,339,
174,185,152,810,847,843,301,204,727,878,061,192,859,304,689,391,469,458,991,
888,584,608,773,039,719,579,269,672,828,987,623,983,461,408,575,818,637,343,
664,589,325,376,435,382,450,639,085,829,299,660,502,229,661,761,707,790,707,
785,757,130,781,634,618,226,899,222,952,715,472,561,082,512,262,113,105,875,
037,663,032,828,704,659,677,179,579,159,356,790,692,449,871,639,613,536,535,
368,765,509,115,941,390,083,114,116,266,703,473,488,893,111,421,929,686,119,
811,971,561,863,771,591,755,829,550,334,703,524,519,586,533,522,657,332,754,
083,958,212,568,967,812,416,812,495,107,679,084,422,871,082,109,351,999,904,
691,461,958,765,962,163,056,305,027,455,611,985,384,078,935,481,513,893,043,
172,414,065,276,543,416,498,985,003,044,151,180,750,421,338,467,612,757,202,
241,426,618,456,269,405,755,771,076,213,272,207,438,449,535,311,209,292,170,
630,170,585,815,563,758,976,037,280,288,720,945,124,629,786,771,868,349,912,
063,802,617,194,826,630,863,123,800,867,167,277,744,494,097,746,073,434,661,
304,807,840,391,131,889,913,527,814,461,138,069,033,626,503,874,874,600,834,
397,776,669,038,862,435,600,750,902,591,796,359,139,095,762,082,383,565,413,
705,366,397,686,711,232,188,755,144,386,764,079,021,437,165,503,224,532,951,
780,974,429,137,474,414,560,462,576,502,668,531,675,508,496,033,513,568,875,
132,536,514,948,848,016,054,790,038,428,059,033,832,261,171,102,310,604,023,
482,053,460,023,768,917,543,525,792,199,040,773,224,525,010,696,975,196,321,
246,243,939,959,060,521,551,914,272,097,288,641,648,087,932,866,872,916,991,
524,013,307,931,563,388,752,716,408,099,361,802,480,988,509,446,107,197,393,
833,921,306,841,876,943,162,623,058,429,732,015,369,644,707,479,098,119,382,
615,777,967,786,942,281,032,409,996,483,593,768,858,886,937,430,104,169,472,
093,442,043,588,084,887,846,013,497,348,255,693,866,647,925,756,925,739,337,
155,068,200,247,106,808,975,333,093,102,029,727,038,173,357,628,452,604,985,
426,419,985,206,316,482,437,635,526,582,209,953,572,487,670,366,663,794,987,
133,280,155,073,125,364,368,405,682,509,766,190,024,200,338,015,099,256,037,
150,469,850,762,615,100,361,280,644,913,209,829,809,725,927,031,428,084,509,
494,513,754,243,006,090,156,198,086,980,025,029,225,469,840,488,129,289,804,
148,500,594,827,262,900,948,899,129,868,276,237,719,304,852,618,315,718,612,
427,549,234,228,460,396,433,235,405,556,332,118,341,191,116,959,353,098,838,
249,172,672,904,522,096,915,036,260,078,160,104,562,760,844,183,541,346,252,
842,928,660,848,800,285,704,621,324,659,801,948,618,155,531,297,646,122,018,
663,838,772,146,888,549,364,221,612,357,140,700,434,744,142,157,416,251,690,
822,433,089,649,869,612,015,034,539,207,758,643,397,097,148,067,914,266,234,
384,855,174,265,041,016,502,169,910,520,347,438,927,327,889,505,431,236,716,
418,622,994,103,723,695,547,017,439,354,018,584,240,097,226,006,654,964,307,
389,690,458,313,578,061,205,135,104,424,734,999,052,941,484,282,154,211,176,
646,983,282,198,880,894,637,589,754,892,727,385,126,273,500,888,783,980,023,
793,082,607,819,468,887,029,981,009,068,242,093,500,421,974,226,713,185,079,
209,755,607,630,463,321,082,988,540,839,854,599,396,757,776,994,517,027,708,
381,432,983,779,898,144,636,854,356,295,912,887,086,632,353,650,444,962,301,
158,517,457,090,691,796,002,054,611,731,856,299,848,065,351,811,240,876,903,
810,071,614,318,982,515,340,812,158,423,488,692,099,951,425,184,048,785,039,
805,843,960,302,200,060,997,085,824,956,122,814,033,163,965,765,053,798,333,
610,742,169,436,803,484,917,495,930,156,095,282,037,419,107,126,691,956,222,
583,447,527,823,771,933,957,628,414,113,208,712,267,452,373,378,883,564,560,
116,461,343,496,489,163,564,120,626,292,642,223,400,931,189,564,472,725,188,
464,552,784,913,562,235,484,131,731,355,211,277,352,001,731,873,224,626,297,
327,082,114,172,649,968,696,948,430,097,669,067,190,286,616,585,506,859,673,
410,755,882,643,444,827,113,043,221,809,014,214,990,331,387,558,380,938,220,
179,723,454,352,710,701,968,955,879,971,814,302,714,621,988,145,984,946,310,
145,514,162,337,390,781,178,069,437,015,183,092,256,671,170,071,485,259,662,
117,882,483,551,647,010,456,634,436,416,692,606,367,150,164,334,524,855,573,
801,104,020,365,855,985,453,623,449,660,076,444,190,030,629,514,596,745,605,
190,762,710,930,438,632,490,990,238,801,278,141,138,082,746,197,738,058,842,
446,483,815,921,722,742,160,472,835,745,616,762,387,802,581,086,688,213,841,
940,693,816,606,390,963,863,285,558,911,195,905,252,816,145,708,807,327,950,
434,005,830,278,026,985,195,020,246,757,453,091,630,686,651,767,631,353,015,
159,302,368,627,510,376,835,490,610,458,799,691,015,339,954,697,123,497,450,
725,745,049,816,220,708,971,982,194,653,331,546,594,166,166,853,315,509,417,
038,215,693,000,275,260,464,845,961,986,152,956,112,028,624,747,754,828,090,
154,836,128,483,754,793,399,244,075,694,152,146,308,987,567,555,826,860,297,
518,646,169,860,497,773,358,427,303,690,100,378,656,550,463,776,730,300,618,
216,967,172,005,412,009,385,363,565,205,027,162,184,025,463,066,023,672,318,
466,584,697,203,363,107,356,824,962,136,931,556,861,225,190,682,429,749,974,
730,614,117,857,477,330,598,298,003,570,190,898,422,403,909,549,426,403,116,
330,479,992,433,077,933,944,019,526,969,769,626,107,626,517,153,690,710,533,
983,378,658,194,320,685,622,236,282,905,250,049,316,737,459,664,509,875,374,
540,267,980,560,822,536,992,544,648,438,759,498,433,351,839,778,491,189,318,
239,855,738,546,439,518,661,829,918,679,934,188,812,897,018,941,369,261,858,
672,867,543,231,185,622,996,938,817,391,632,506,519,680,114,292,423,625,559,
228,652,472,808,876,599,055,555,084,803,801,799,142,455,847,598,493,947,528,
313,254,221,861,012,788,462,885,803,636,965,353,678,791,110,955,466,566,529,
062,907,538,801,972,588,214,998,621,247,417,596,842,860,707,354,304,049,288,
925,150,256,027,440,511,963,904,480,719,626,571,217,287,055,156,586,357,530,
244,299,218,271,350,985,516,327,470,186,110,122,532,665,967,069,975,602,383,
670,836,565,821,098,886,789,997,388,341,349,501,994,177,929,735,294,309,781,
103,650,495,440,403,880,833,782,806,898,910,423,674,363,771,169,517,092,076,
666,588,223,038,831,629,791,301,925,262,154,350,295,489,985,170,617,850,767,
447,610,957,589,906,804,811,597,826,308,916,569,058,792,009,969,018,134,869,
888,257,764,414,326,893,859,838,053,455,680,248,553,362,369,076,158,755,153,
579,448,795,441,441,916,638,342,465,964,385,370,711,182,776,616,257,637,452,
344,369,581,409,925,566,159,592,102,309,287,177,101,138,616,738,270,202,672,
765,617,965,407,661,277,102,671,629,999,052,327,829,346,755,236,656,382,579,
398,898,825,990,027,937,082,309,727,005,133,982,412,935,143,261,839,355,030,
750,566,463,393,385,291,206,482,764,471,243,941,994,946,715,238,706,063,476,
048,371,308,345,209,368,493,040,947,338,907,936,992,165,814,571,261,419,628,
022,736,937,842,848,115,258,075,852,823,291,835,489,266,790,790,597,786,278,
179,286,741,456,195,084,110,909,332,061,520,716,014,294,248,201,037,199,375,
980,544,351,145,624,649,151,961,876,967,594,436,540,767,664,364,817,779,509,
503,217,753,558,659,665,142,817,364,076,273,808,374,457,481,948,348,014,811,
808,304,351,814,129,457,514,181,906,359,578,451,698,191,942,475,889,963,702,
375,636,892,926,664,318,608,532,808,773,806,863,345,670,021,908,442,961,052,
570,511,957,186,091,494,253,002,435,001,668,369,280,749,615,168,348,928,249,
604,220,246,914,844,409,926,941,643,915,506,042,509,705,886,184,919,398,014,
047,445,362,271,145,830,326,177,771,033,411,842,826,519,082,027,507,975,380,
468,551,604,213,633,208,763,095,606,086,296,655,508,063,303,486,891,703,320,
969,300,664,817,439,962,144,495,744,958,824,772,659,151,434,238,373,001,566,
791,823,139,715,720,014,735,435,274,930,298,144,003,756,340,049,331,203,495,
139,545,812,213,339,654,834,729,938,854,335,975,084,589,948,351,507,394,276,
584,068,391,703,335,995,942,973,765,717,693,516,898,731,129,295,674,539,965,
576,570,230,028,563,757,237,468,235,075,948,870,463,625,126,506,248,338,780,
892,420,003,817,072,836,736,048,987,207,757,100,743,958,113,981,541,387,779,
012,048,190,503,628,198,158,198,169,632,682,307,448,311,316,253,290,562,926,
967,748,700,392,400,905,853,207,551,745,281,336,872,718,789,160,541,757,201,
547,936,510,751,496,358,311,182,727,353,746,821,055,858,266,945,082,543,164,
338,288,611,248,431,171,163,611,019,703,431,343,778,320,731,720,736,643,558,
000,721,735,259,475,806,120,137,547,400,403,236,961,421,829,259,261,111,688,
182,276,389,463,474,880,764,822,833,601,661,933,479,785,118,185,449,554,781,
034,055,349,419,684,724,255,308,709,791,272,606,472,529,429,753,937,514,035,
443,732,460,212,007,478,353,414,890,481,259,095,065,366,701,905,449,109,378,
007,410,310,866,031,029,378,727,291,901,641,344,967,258,389,179,325,507,026,
038,081,099,597,985,890,803,348,017,251,780,055,165,924,756,276,071,619,005,
983,887,240,952,542,738,119,378,982,643,609,004,780,665,558,200,789,675,655,
288,953,341,762,884,234,120,044,532,842,422,659,221,735,816,135,158,778,515,
890,850,946,015,889,156,929,908,814,616,015,842,866,684,785,826,670,462,481,
905,160,039,453,583,225,688,727,665,183,457,452,538,214,454,800,837,166,756,
970,946,572,941,053,622,395,966,643,289,216,902,254,657,490,199,362,775,236,
009,758,920,364,071,184,052,760,245,588,493,392,433,631,030,516,024,353,520,
163,675,478,920,089,892,294,214,798,053,510,466,722,597,191,388,234,766,321,
542,560,384,035,800,777,017,355,689,023,516,582,972,236,277,455,128,478,009,
251,252,646,227,422,267,022,157,185,020,788,527,510,423,447,274,101,022,981,
044,192,500,597,941,472,130,169,572,039,426,742,495,762,110,919,669,078,200,
520,084,017,689,204,633,836,061,188,016,027,235,489,354,609,038,967,717,449,
363,758,014,411,630,539,596,176,220,615,979,391,610,691,297,867,519,303,234,
273,382,549,300,984,567,827,783,944,961,885,025,027,302,347,977,722,094,612,
739,661,684,616,979,468,199,778,258,285,297,163,959,373,598,132,735,117,378,
712,085,777,583,816,592,818,490,422,398,942,972,095,022,807,552,635,636,987,
651,054,260,569,467,246,015,138,762,760,750,973,874,020,201,572,568,890,454,
348,744,165,107,974,652,706,574,626,199,961,348,064,442,576,300,906,365,589,
678,843,638,972,694,070,555,012,285,258,581,946,686,145,931,560,296,764,662,
588,778,475,886,379,990,431,030,762,502,581,437,250,783,882,862,503,818,064,
752,569,202,850,995,552,550,378,666,642,151,963,373,147,700,466,249,420,480,
562,529,104,709,547,432,596,956,426,689,835,654,710,035,268,821,066,679,003,
584,932,234,950,665,899,983,786,333,217,975,762,330,623,661,012,697,662,297,
520,733,777,794,511,852,347,727,359,611,832,508,374,524,913,333,598,109,775,
734,804,010,756,162,171,272,295,364,579,756,849,539,724,033,597,403,652,012,
237,397,980,441,751,089,620,267,189,980,996,856,881,847,916,389,544,374,858,
892,944,362,749,096,916,975,390,281,522,081,275,540,910,736,194,083,565,253,
555,968,336,316,708,083,172,602,929,951,735,228,567,490,656,036,169,665,552,
731,596,397,637,560,253,675,538,319,938,618,615,587,297,016,956,298,792,443,
360,186,961,177,299,804,158,994,604,288,535,862,281,436,158,863,933,693,098,
227,733,461,085,650,567,037,697,577,012,377,204,862,063,236,113,357,470,970,
687,176,429,223,179,940,216,483,735,826,749,430,428,287,114,151,343,879,066,
461,422,275,540,892,088,009,272,518,821,684,211,687,283,910,277,833,759,052,
858,000,301,819,505,770,929,129,904,676,843,731,267,766,815,901,327,377,171,
023,626,091,641,886,447,759,993,379,719,209,413,718,046,065,395,256,985,853,
612,311,925,547,267,006,337,387,965,257,585,751,914,911,022,568,078,724,977,
878,474,437,738,752,705,600,507,313,237,969,991,476,107,261,819,313,409,143,
147,109,638,724,097,002,428,043,714,269,987,267,709,691,978,766,304,411,987,
910,523,161,168,149,882,529,529,012,282,135,404,233,876,887,677,642,473,289,
847,602,238,380,099,836,924,547,763,891,204,368,722,324,833,212,289,518,012,
944,530,932,574,058,897,726,762,482,555,313,008,458,829,614,369,943,252,320,
202,206,418,784,715,048,190,047,061,590,444,050,465,955,983,646,266,848,812,
648,245,328,323,437,604,554,229,412,544,472,047,188,493,701,029,601,246,611,
166,149,850,390,094,105,029,106,983,591,967,897,701,489,767,117,784,435,971,
436,684,378,092,879,576,553,505,544,241,044,429,529,770,202,151,206,178,063,
270,659,232,006,895,195,458,819,417,461,418,542,902,640,720,670,581,594,318,
589,769,923,424,382,048,276,912,671,059,862,875,916,852,836,151,772,988,902,
300,188,662,996,471,220,766,656,408,199,942,554,480,338,446,301,350,105,396,
887,125,645,256,490,928,163,575,495,405,109,634,477,277,129,829,055,843,194,
591,515,158,827,135,883,136,419,786,387,566,418,121,740,810,166,310,609,259,
986,050,844,161,763,825,023,509,107,353,339,900,020,923,734,566,469,411,552,
772,098,553,099,060,189,466,320,903,149,737,391,183,970,043,000,851,772,586,
233,804,858,223,947,600,179,241,627,857,533,514,360,260,873,892,947,585,850,
902,728,234,462,203,791,813,247,581,116,692,450,916,687,041,588,422,941,741,
206,184,108,313,906,705,241,176,044,892,681,923,086,166,644,874,805,262,603,
277,157,470,247,850,926,170,428,294,491,458,137,151,115,034,664,912,872,692,
123,753,803,749,297,091,743,969,528,644,147,401,555,585,975,237,384,557,274,
702,022,314,439,574,086,486,656,493,913,712,278,834,142,737,079,115,781,084,
278,393,407,138,670,644,250,881,192,587,130,902,975,574,119,719,594,836,854,
957,839,005,893,701,899,381,411,096,574,270,322,792,855,302,292,962,173,624,
919,745,092,864,662,224,640,133,795,631,841,263,816,581,500,242,677,186,235,
230,608,151,973,145,411,334,907,419,470,524,008,981,254,599,696,880,258,408,
222,629,209,387,213,106,106,798,680,003,044,115,061,627,024,289,553,311,558,
358,612,478,936,270,128,773,604,801,213,622,388,982,505,904,184,194,826,534,
678,661,785,656,644,506,830,563,766,799,887,793,850,866,390,944,298,965,366,
495,925,563,581,418,095,127,020,013,378,193,568,112,758,297,351,308,149,993,
960,855,646,541,279,175,147,948,718,635,188,566,972,639,289,328,717,391,585,
875,015,057,825,098,340,216,043,929,319,802,348,675,930,730,369,225,866,706,
343,265,270,168,917,670,212,092,135,133,014,801,753,846,645,911,573,929,912,
340,679,651,221,163,206,678,894,860,588,995,070,645,362,685,966,404,183,505,
732,413,299,285,838,533,955,547,125,811,961,715,001,917,567,123,893,589,475,
061,508,839,699,364,663,041,574,099,149,781,959,823,533,869,062,431,707,380,
031,186,636,428,022,997,661,368,768,343,902,637,269,774,215,787,032,064,345,
559,648,425,858,227,707,581,532,927,424,374,189,261,690,063,559,264,517,724,
070,159,008,523,767,919,815,352,805,712,350,423,175,532,600,724,443,473,228,
440,156,810,701,761,394,857,768,363,471,604,386,751,200,072,849,693,940,570,
514,318,982,777,906,246,199,289,542,295,365,858,573,803,389,160,944,145,947,
593,099,884,649,002,398,638,041,864,095,774,594,497,227,008,520,156,516,124,
451,984,210,150,770,591,529,054,457,060,208,998,941,639,562,318,614,807,644,
611,790,117,669,923,659,023,919,104,430,189,357,338,786,894,471,330,210,030,
988,722,527,872,535,234,291,371,628,598,247,419,506,086,537,468,697,080,013,
037,683,778,517,768,235,268,566,160,398,171,669,581,868,587,122,445,330,595,
205,776,822,846,153,552,605,489,712,976,370,729,093,344,560,694,512,479,239,
233,202,763,901,312,194,813,040,076,015,477,732,810,105,312,031,741,107,111,
098,086,404,624,650,982,970,991,701,433,684,489,997,974,553,813,437,867,225,
553,828,328,753,141,458,843,736,936,092,173,865,216,282,500,061,077,942,319,
688,599,652,416,833,493,989,733,424,300,139,581,127,210,402,624,080,042,498,
984,397,322,816,314,156,505,842,728,736,579,972,421,137,073,933,710,903,801,
359,177,202,565,249,369,529,067,547,867,464,687,203,524,796,898,782,477,780,
593,106,901,006,606,395,850,254,378,990,266,258,689,044,787,192,866,848,027,
181,411,460,235,864,725,603,775,777,905,948,531,515,627,567,021,604,481,531,
237,013,517,028,147,826,456,649,143,061,264,559,902,193,476,586,513,454,456,
826,092,084,825,935,113,350,060,812,195,206,546,798,164,004,394,302,103,763,
237,442,082,535,839,927,362,105,562,548,023,453,346,301,412,522,181,182,432,
260,374,166,205,914,484,419,633,914,441,868,634,310,684,010,749,386,098,386,
593,169,549,986,661,407,672,623,554,996,276,673,349,816,032,359,799,721,372,
493,379,420,649,179,881,690,143,900,141,877,186,911,974,175,517,594,840,496,
228,549,916,873,519,637,260,024,951,957,920,512,321,727,582,185,736,070,073,
067,903,396,848,986,575,048,028,097,524,977,315,806,481,445,456,706,330,842,
131,272,430,558,103,891,184,831,448,719,214,836,872,183,381,534,505,715,495,
120,020,195,247,150,216,303,996,622,494,572,544,748,240,203,595,253,250,088,
797,191,806,992,837,957,673,386,005,891,834,466,001,779,937,402,725,676,808,
775,509,446,736,934,397,159,595,497,828,332,677,883,469,079,758,886,485,774,
463,315,958,957,429,601,283,992,097,471,581,220,488,623,106,743,161,860,642,
673,652,185,668,628,240,618,150,868,834,060,514,359,462,362,866,545,094,178,
404,512,169,056,654,846,919,257,363,161,686,521,229,159,131,321,827,275,272,
405,487,796,354,903,365,168,553,088,455,518,285,980,442,458,461,100,132,099,
967,004,690,467,335,689,363,793,634,788,046,027,502,268,659,031,962,544,451,
153,553,117,355,553,970,040,513,428,001,051,237,593,251,477,390,821,908,757,
401,720,248,581,978,140,233,811,800,921,223,768,337,168,490,763,021,987,066,
300,697,776,708,219,007,092,985,727,601,400,046,647,098,499,129,371,239,333,
267,268,478,245,684,503,476,953,618,808,265,933,256,089,367,129,804,218,508,
576,070,031,934,941,665,859,420,452,750,840,082,159,809,967,019,252,855,795,
151,975,079,214,258,253,808,099,753,928,650,842,885,487,948,535,997,841,395,
130,105,738,437,117,880,990,109,560,586,561,386,272,953,758,863,830,541,118,
778,664,541,540,701,946,124,896,057,716,045,132,098,193,115,968,111,627,392,
189,272,251,133,067,909,836,963,796,602,443,200,138,076,123,830,780,798,207,
247,700,170,491,288,574,149,797,890,619,985,834,980,920,856,784,590,074,203,
114,097,659,621,482,598,503,365,778,806,672,377,274,053,110,457,643,138,273,
408,913,972,289,622,338,909,951,599,251,845,379,951,116,533,780,394,162,953,
429,448,365,966,050,825,004,222,045,341,107,475,106,974,555,446,447,710,412,
459,887,715,453,379,009,654,411,444,158,867,374,823,666,227,126,788,584,137,
024,706,306,846,163,926,407,777,382,474,724,654,240,372,621,126,779,679,143,
259,315,195,420,029,797,965,573,034,761,893,474,779,976,063,244,393,610,420,
383,767,557,686,470,569,591,698,547,531,423,877,439,323,333,881,412,004,823,
361,476,908,106,177,007,012,377,545,021,978,928,876,360,623,742,237,630,454,
019,497,528,655,952,742,143,729,639,623,173,489,205,676,469,864,081,070,487,
918,539,734,488,711,142,651,378,794,799,645,311,044,903,119,032,076,609,453,
296,725,334,271,650,460,882,516,067,277,750,330,408,089,206,367,152,094,821,
516,581,426,709,364,156,496,091,059,285,328,962,395,857,174,903,859,352,941,
998,602,588,199,333,223,000,454,380,132,062,824,531,509,395,102,186,522,004,
464,338,076,329,557,825,873,418,161,076,640,489,889,764,044,647,206,402,952,
215,027,721,645,607,506,653,983,943,398,512,018,595,374,580,854,218,238,933,
188,335,576,341,303,948,602,397,519,956,200,280,469,091,810,086,247,541,795,
927,131,199,707,995,190,207,300,527,816,573,393,636,504,703,122,922,539,228,
889,827,530,350,041,184,823,482,924,063,823,257,389,211,630,471,982,125,890,
804,034,208,098,830,560,420,593,440,669,164,951,073,112,644,332,273,433,737,
675,957,304,542,285,309,268,902,845,733,307,684,547,671,077,690,498,245,955,
911,144,554,813,030,523,725,209,083,760,878,673,976,693,995,151,853,388,622,
259,200,415,961,739,699,050,684,862,079,772,807,272,028,751,573,932,793,300,
581,186,837,920,702,231,699,864,637,386,245,382,841,059,771,980,104,174,065,
259,811,041,223,793,442,051,854,190,799,018,579,517,569,689,706,928,729,765,
038,608,132,816,553,254,585,642,356,503,776,064,555,944,722,957,931,727,420,
746,826,488,539,642,790,602,388,312,321,054,249,007,773,089,692,266,930,081,
655,784,026,679,964,420,072,647,881,564,137,266,418,954,494,893,470,653,790,
007,342,746,218,123,364,434,152,687,092,280,306,699,671,826,059,853,847,134,
095,512,759,417,042,149,307,731,334,383,597,556,183,428,384,877,097,283,531,
014,223,608,531,104,942,288,055,050,334,958,383,647,610,973,930,622,920,433,
748,956,120,696,744,194,392,091,092,289,953,193,395,815,728,924,769,006,582,
457,089,564,063,832,238,190,033,025,803,607,374,051,541,186,892,822,548,319,
107,225,133,680,752,233,737,065,931,804,697,113,305,868,370,657,375,921,936,
988,011,986,461,919,689,010,560,691,886,803,969,437,258,707,633,314,241,825,
544,555,301,095,478,633,518,991,045,601,397,738,021,378,708,808,487,660,556,
290,809,769,061,802,310,683,696,011,578,418,357,071,295,320,487,150,619,201,
935,338,888,189,886,921,258,686,470,886,531,954,183,596,344,502,620,119,492,
534,252,837,613,477,858,091,728,892,920,499,345,628,165,815,816,368,282,780,
623,450,509,537,091,409,451,575,588,722,730,985,513,766,381,612,347,404,109,
699,107,115,555,293,929,529,078,899,683,218,983,747,926,351,242,286,291,364,
031,981,207,598,801,351,587,871,194,712,645,173,973,421,958,725,960,220,014,
380,158,170,695,498,272,912,567,527,943,850,601,178,205,086,188,995,413,766,
178,374,805,099,885,195,963,615,747,254,677,861,666,126,500,996,191,660,779,
540,625,251,589,110,085,257,385,742,577,661,539,858,039,526,982,465,456,494,
815,909,778,583,131,478,498,031,561,263,481,953,242,248,266,806,844,750,101,
206,956,685,733,108,537,285,735,717,188,780,565,075,328,132,638,232,110,897,
092,459,117,406,607,658,307,753,875,316,503,455,457,668,167,569,187,385,310,
163,205,482,960,799,960,152,354,030,416,272,518,055,582,150,513,914,102,437,
957,160,339,682,188,022,465,233,116,712,850,336,179,568,321,516,053,616,854,
524,823,305,157,355,370,391,212,533,695,430,611,166,837,681,467,428,162,867,
114,637,273,923,922,000,144,180,139,146,111,610,746,141,153,968,376,227,076,
107,532,909,354,642,071,748,810,013,609,591,104,453,726,759,260,208,839,177,
688,914,805,415,962,569,561,441,691,312,597,305,773,306,644,641,818,680,753,
911,067,991,279,835,097,331,483,185,493,741,338,553,648,453,810,121,263,394,
076,003,303,511,392,894,974,032,534,553,881,420,703,493,261,202,500,976,223,
003,129,695,560,321,232,345,894,316,355,666,968,673,947,505,126,722,432,366,
550,543,609,218,288,873,530,036,089,822,021,929,984,795,831,500,245,998,271,
960,052,330,043,030,825,607,108,403,801,126,641,737,114,996,305,946,815,632,
658,431,941,402,413,216,242,369,953,953,719,963,581,760,037,974,853,857,113,
899,733,252,061,737,369,099,131,966,143,154,087,800,594,545,188,102,514,962,
427,397,275,157,186,641,392,898,453,316,313,185,531,576,422,784,152,005,631,
709,611,698,119,062,962,357,903,756,875,136,655,065,304,721,673,344,287,167,
879,007,463,645,303,543,841,508,794,750,722,296,065,140,973,043,005,707,240,
954,184,701,618,699,875,683,479,188,096,078,299,846,048,547,010,392,686,719,
539,019,962,423,861,113,218,615,002,118,114,941,241,477,774,000,420,877,581,
077,433,418,826,238,402,248,151,071,722,328,892,120,847,163,812,301,893,027,
565,207,289,164,313,104,681,472,161,726,343,928,464,565,184,378,566,272,801,
893,845,635,767,333,392,263,513,574,288,155,506,706,136,419,926,138,853,807,
926,764,871,141,444,079,181,442,204,239,853,489,939,532,425,385,894,823,681,
369,259,616,280,719,947,525,086,181,586,323,773,515,592,152,983,267,839,853,
719,630,947,793,769,569,446,231,795,452,902,599,858,672,565,016,225,064,707,
794,437,558,318,354,254,683,620,437,581,056,015,332,751,193,229,679,654,081,
264,771,526,167,285,083,547,084,795,737,016,761,781,516,399,729,547,989,978,
598,508,987,641,244,911,766,465,422,099,796,369,701,535,311,756,504,080,720,
091,829,400,465,947,767,445,922,426,437,739,852,070,129,835,921,282,353,387,
670,078,461,142,945,181,054,882,674,330,194,983,367,400,299,478,051,649,160,
850,386,665,317,060,953,939,312,042,949,504,736,748,871,384,488,708,614,730,
502,837,990,101,186,506,755,818,738,401,304,865,436,776,642,301,942,620,870,
548,570,172,525,381,428,653,352,471,336,194,210,485,738,958,748,747,003,863,
191,936,481,427,554,140,642,285,916,559,890,382,259,653,005,070,528,722,456,
735,257,875,819,165,162,410,706,232,561,679,778,182,435,601,753,352,815,258,
475,185,424,447,189,712,958,130,588,505,634,970,255,935,027,519,758,614,069,
092,665,944,819,743,448,540,671,328,636,023,339,408,307,528,041,255,471,496,
529,142,028,692,557,140,175,412,164,014,869,720,285,468,659,303,005,119,234,
881,644,263,643,052,021,459,239,770,556,141,890,335,546,480,952,856,911,125,
646,873,331,615,092,381,142,187,938,048,938,228,492,122,194,575,320,373,388,
882,181,385,307,091,999,807,151,792,817,778,261,570,243,343,129,742,109,109,
354,754,066,442,200,816,648,313,057,519,727,313,865,198,295,211,288,166,809,
539,161,795,279,217,616,185,361,736,222,790,333,517,883,157,374,826,816,732,
607,518,848,121,845,339,193,975,922,336,721,913,339,767,747,272,922,980,690,
094,770,338,901,128,653,764,789,611,096,639,910,686,722,724,144,925,944,929,
067,098,070,942,449,518,177,287,779,457,795,064,614,144,882,372,014,119,818,
228,507,800,058,846,268,411,595,179,593,767,878,204,596,986,677,258,060,777,
817,556,295,270,889,704,264,592,586,739,154,289,398,158,564,214,957,985,026,
634,834,827,664,311,461,188,505,907,159,392,699,436,534,337,142,967,704,809,
384,161,907,860,420,129,175,973,633,596,570,667,031,333,963,525,591,003,203,
063,944,141,541,526,590,172,394,932,677,995,469,999,101,962,228,723,563,603,
030,595,698,863,311,627,762,488,770,852,677,452,935,235,254,628,240,361,281,
877,887,927,053,491,647,207,085,230,940,725,138,268,509,406,945,998,812,293,
139,796,303,721,669,363,170,098,221,860,249,595,025,745,031,644,088,563,315,
354,863,817,804,829,148,203,211,380,784,639,227,889,989,523,707,351,078,423,
676,187,462,414,908,776,834,715,841,917,842,700,467,428,854,334,117,388,445,
873,458,304,062,295,419,964,587,433,000,657,672,951,850,675,564,684,033,640,
579,030,312,852,245,430,157,924,485,915,633,076,163,148,670,492,563,039,271,
448,720,394,821,833,888,083,900,990,716,792,278,795,655,004,986,660,179,022,
163,418,891,715,846,143,550,017,509,938,226,351,163,832,272,047,367,029,173,
742,566,827,806,116,672,656,230,940,552,427,664,137,007,773,212,918,365,002,
504,239,798,148,357,389,131,351,883,919,531,800,279,424,969,059,999,913,307,
543,117,579,145,616,557,605,119,652,152,493,052,944,134,412,980,521,674,283,
378,160,202,838,153,135,093,184,763,272,876,488,724,480,291,817,384,088,658,
015,268,431,280,867,938,484,939,326,598,740,222,232,423,155,293,499,770,460,
235,488,390,109,961,598,691,299,584,267,228,996,189,640,974,525,921,835,158,
495,991,824,032,464,779,545,268,460,426,705,805,888,199,771,214,158,928,718,
176,505,583,681,417,234,174,879,672,008,797,825,567,108,783,936,711,091,668,
363,098,234,956,902,024,614,252,424,934,249,593,868,715,783,075,354,009,818,
365,222,183,289,216,553,887,032,491,840,810,680,874,871,252,472,154,069,363,
444,407,015,733,973,041,634,568,158,335,720,929,916,337,066,200,495,067,274,
756,443,194,036,643,889,711,611,473,818,589,321,717,903,187,386,404,382,240,
039,155,203,529,305,560,698,304,592,705,566,469,408,850,857,023,704,371,895,
440,628,925,983,078,145,736,459,787,934,821,553,484,789,651,381,030,929,757,
667,148,847,187,845,866,520,473,747,451,565,931,480,891,275,798,018,015,546,
267,300,020,244,711,405,376,865,797,774,205,307,545,124,490,177,876,916,323,
263,873,334,472,699,990,782,373,665,615,178,748,817,669,861,928,844,631,099,
082,887,025,202,453,396,285,284,723,132,033,343,063,814,650,477,788,235,934,
040,454,581,797,319,316,738,620,761,047,064,098,997,173,363,735,741,052,827,
673,498,147,879,464,957,725,468,933,965,471,423,987,625,508,602,035,500,722,
059,014,546,785,727,825,823,482,720,016,185,212,260,907,835,006,824,186,245,
252,818,347,040,913,229,694,613,014,953,275,524,026,737,685,053,525,693,943,
391,335,587,204,163,766,828,298,992,721,085,436,048,976,510,374,839,771,948,
841,880,920,531,241,545,397,163,485,552,968,847,439,165,871,889,553,212,593,
328,932,123,636,887,588,568,876,309,085,737,675,459,770,069,613,266,170,404,
525,078,668,627,575,377,303,916,375,206,900,747,502,221,005,263,283,895,275,
577,660,369,383,445,890,088,568,373,414,447,239,749,730,569,473,277,733,674,
726,796,387,437,953,380,880,812,140,382,898,481,714,596,826,143,918,765,123,
031,455,858,966,957,778,598,271,484,077,384,083,986,266,081,858,334,951,480,
639,398,190,435,242,775,215,245,610,465,839,982,749,783,373,207,661,598,996,
761,349,881,400,827,535,330,820,450,465,402,647,345,169,093,074,971,716,926,
674,664,856,278,861,052,979,774,033,479,167,855,086,475,780,802,898,370,670,
863,322,323,715,512,830,159,265,761,571,409,487,596,662,432,795,028,646,007,
392,297,750,959,408,940,808,628,105,698,725,506,740,589,128,298,573,131,341,
934,732,141,901,414,115,057,091,075,674,135,816,216,719,779,746,859,810,494,
188,737,541,050,300,329,496,852,249,350,326,236,513,705,452,138,192,216,943,
321,647,971,740,951,119,654,298,241,379,834,589,460,396,969,836,450,592,973,
168,166,236,629,997,531,730,773,144,076,793,693,861,691,572,604,290,823,493,
030,214,476,634,796,880,529,936,043,482,582,470,740,732,291,280,397,516,835,
538,639,960,531,061,832,969,843,671,154,756,081,693,170,234,553,975,257,024,
717,685,389,310,016,789,361,991,953,019,504,539,315,762,027,464,245,429,470,
068,379,547,349,782,286,718,198,510,997,205,931,667,308,788,795,129,222,399,
867,075,340,575,726,854,928,720,260,355,207,819,118,613,885,353,377,445,885,
040,540,045,884,197,686,088,640,723,155,300,530,606,234,224,408,315,360,638,
401,146,442,910,219,315,639,937,462,875,739,870,080,805,725,822,100,156,068,
456,027,538,337,639,421,078,042,182,282,579,630,300,490,662,572,938,517,634,
718,636,305,689,128,968,799,023,592,662,897,375,041,907,334,979,375,258,121,
424,886,066,797,341,931,772,148,926,624,394,966,529,918,885,768,560,319,822,
798,358,555,387,661,263,971,695,881,255,159,578,318,232,877,747,289,682,724,
108,957,769,826,923,391,834,969,327,845,389,027,577,413,400,807,275,163,056,
749,478,432,500,901,317,786,100,447,896,473,533,606,187,524,697,244,351,813,
756,856,517,452,447,112,856,065,643,308,293,157,792,165,170,274,785,966,354,
797,254,913,111,276,200,997,126,637,549,527,590,487,195,531,904,932,399,070,
974,074,936,022,716,050,083,732,067,553,214,062,686,315,932,055,972,893,239,
569,913,951,412,590,034,855,989,887,524,386,125,199,068,904,221,936,704,325,
420,238,427,626,745,464,972,930,525,243,480,567,343,231,614,513,896,395,956,
451,951,795,082,549,827,600,749,217,878,628,008,656,537,970,412,205,882,152,
514,785,307,727,815,458,955,442,425,225,635,194,507,208,290,999,539,449,177,
881,326,621,393,967,306,904,140,529,883,460,501,701,168,993,728,163,299,947,
639,595,459,539,762,789,590,814,792,420,501,392,323,483,012,061,278,159,256,
584,392,938,410,456,243,492,133,123,332,098,747,915,760,376,116,555,687,845,
935,471,404,225,519,981,479,922,617,277,271,930,479,539,188,975,107,248,544,
568,980,090,304,661,347,889,536,596,984,526,605,569,374,230,315,863,089,924,
285,024,346,256,140,972,755,353,754,287,716,239,450,653,532,837,310,137,488,
216,282,845,635,468,338,220,275,248,032,681,418,570,580,093,676,468,799,730,
758,324,211,185,283,624,946,283,399,433,748,749,254,863,326,006,416,366,780,
102,391,500,527,126,631,302,978,566,351,620,461,136,226,631,336,787,359,800,
992,164,026,454,990,124,906,913,382,341,467,200,448,589,992,788,018,100,831,
103,460,998,013,948,611,127,996,295,322,739,803,993,358,284,180,613,203,444,
517,814,177,574,527,823,756,801,832,012,764,347,898,184,981,940,985,677,512,
581,775,459,009,537,986,151,410,685,273,888,564,045,920,006,174,312,600,122,
592,302,319,534,043,669,855,863,406,797,902,800,724,857,966,034,244,554,555,
879,685,602,113,774,166,034,296,603,686,371,572,864,223,303,513,644,193,570,
066,735,009,496,975,865,831,462,609,064,245,151,694,584,115,162,351,770,992,
010,479,027,634,399,633,568,592,810,673,292,948,638,978,353,686,966,099,303,
012,901,209,098,984,882,278,286,292,316,910,640,409,801,385,723,902,710,885,
480,505,345,065,478,465,101,234,263,593,359,819,411,211,415,655,035,266,279,
628,341,689,228,759,222,930,838,240,261,788,914,165,177,582,097,408,968,442,
877,084,980,990,232,528,126,962,470,436,044,429,871,774,542,198,335,084,038,
957,154,779,528,889,054,539,474,527,620,701,214,299,371,213,288,619,309,301,
438,005,254,715,515,537,386,537,652,456,513,838,542,098,375,548,157,034,473,
666,322,049,988,719,603,859,179,913,243,749,514,355,375,219,355,925,896,925,
693,887,837,446,511,045,661,785,430,818,070,413,292,968,447,392,125,218,587,
617,089,618,382,139,771,302,678,562,313,947,515,836,368,055,287,100,279,932,
960,100,053,529,095,136,084,640,106,034,895,277,880,743,161,587,130,535,917,
052,092,903,198,966,752,836,053,103,190,956,898,728,135,011,493,911,370,115,
460,393,489,856,930,418,790,046,429,739,001,890,489,428,130,882,258,538,645,
017,938,145,187,691,396,457,843,693,290,034,949,691,243,584,737,948,231,064,
942,892,912,974,945,174,004,961,503,796,473,870,877,534,334,423,390,616,742,
113,185,238,535,041,809,008,661,245,165,889,078,531,552,573,794,124,485,300,
658,951,795,099,834,546,571,217,889,331,189,345,884,025,213,643,881,681,772,
401,872,186,442,268,829,512,004,216,959,094,399,617,884,232,567,127,804,775,
893,649,574,987,040,560,668,107,023,229,974,804,331,352,388,229,740,667,867,
845,079,015,920,787,821,208,714,474,666,545,875,653,032,540,149,709,092,446,
000,372,913,861,689,884,386,539,647,537,592,703,463,557,887,485,183,258,420,
426,753,994,017,485,756,777,825,586,948,274,804,849,962,411,784,323,162,406,
546,084,340,240,283,369,481,924,816,539,971,141,082,460,133,947,872,501,506,
978,094,410,482,502,211,413,117,141,186,455,183,789,329,958,495,626,450,113,
942,305,630,599,372,349,943,620,355,016,064,764,717,531,476,196,559,051,387,
483,802,430,518,925,228,239,650,408,294,447,994,770,228,394,618,329,565,848,
942,220,549,098,579,776,619,703,887,800,878,229,485,393,496,832,476,017,442,
254,704,957,570,035,018,275,186,305,265,533,332,169,582,522,226,283,658,483,
742,446,611,382,666,818,591,936,284,784,911,287,317,771,639,267,197,709,006,
764,942,035,342,963,566,410,509,975,221,293,449,663,609,365,650,903,538,240,
997,148,659,969,068,176,747,472,955,423,482,947,722,515,680,239,485,793,263,
498,927,983,951,765,268,668,343,535,716,810,976,027,323,340,370,346,634,956,
651,579,658,867,511,406,337,967,396,345,180,834,218,950,148,835,092,294,125,
711,573,042,496,483,370,237,709,974,854,511,447,720,735,531,328,427,354,249,
992,386,902,853,957,062,636,333,204,512,762,162,192,125,355,575,609,398,523,
473,074,949,460,851,281,523,573,976,002,666,752,115,429,160,640,961,613,693,
492,754,089,510,452,434,614,572,733,712,702,211,818,204,832,701,948,726,851,
434,639,959,562,259,649,474,259,264,230,183,248,975,483,376,995,011,190,164,
338,798,297,702,424,634,758,391,446,393,464,097,431,793,644,590,947,618,419,
474,166,241,541,922,820,412,325,989,507,404,328,073,261,122,101,481,183,175,
016,586,671,077,898,783,882,595,326,211,491,063,160,893,049,377,277,436,291,
132,287,644,403,929,747,891,260,565,410,232,229,812,244,598,442,647,267,246,
485,683,504,317,378,652,798,273,570,737,048,375,840,794,110,271,825,176,650,
283,441,559,137,306,657,186,851,542,716,257,238,386,946,296,697,597,545,625,
725,417,853,730,236,427,354,212,357,726,622,959,071,659,976,165,840,249,501,
195,246,415,378,593,468,946,419,469,986,985,508,309,233,053,132,592,386,149,
624,120,891,114,987,359,082,042,112,237,924,775,920,724,362,227,145,213,050,
691,772,478,124,366,318,501,096,773,789,737,328,866,381,993,642,137,164,407,
094,487,032,594,463,910,651,060,848,515,028,898,513,991,663,920,590,665,682,
208,953,966,180,916,027,051,648,098,980,435,374,214,998,597,315,097,862,489,
578,361,308,863,454,863,472,359,654,908,095,873,316,806,460,706,772,532,951,
434,102,227,539,613,956,197,807,660,255,933,780,062,476,808,721,438,108,761,
577,859,500,716,192,751,149,495,831,538,682,765,579,754,545,997,252,722,865,
341,840,515,898,380,096,641,116,401,905,221,579,974,668,686,286,994,667,614,
155,266,069,926,065,296,865,073,250,428,920,364,253,291,043,449,320,777,571,
574,633,992,953,940,792,388,416,574,660,468,557,483,633,069,400,224,209,091,
396,299,913,600,769,954,118,668,627,419,778,082,132,376,036,125,229,950,936,
086,539,110,928,712,923,642,128,135,864,317,762,333,674,926,562,543,958,856,
758,859,217,117,585,249,160,089,086,426,558,420,837,510,169,980,752,593,148,
903,053,094,082,076,411,309,703,237,422,749,057,160,003,119,517,494,518,617,
119,627,356,531,749,326,281,997,111,156,652,849,601,499,428,686,434,941,951,
973,181,619,192,261,498,906,115,925,712,881,119,821,588,764,746,814,073,760,
876,155,820,737,048,821,613,460,923,780,768,705,414,754,114,653,611,761,082,
775,388,259,820,395,764,343,448,114,892,822,371,981,334,376,917,743,624,213,
716,183,748,588,390,034,379,014,707,422,865,875,773,985,163,150,286,533,655,
845,860,500,762,193,046,303,998,370,098,411,016,630,762,308,192,508,688,286,
085,038,618,377,794,669,839,843,627,586,526,672,983,816,462,571,453,557,130,
172,724,301,257,397,202,065,999,800,898,961,658,718,361,656,148,867,832,280,
820,348,892,975,893,838,047,198,399,548,641,695,139,258,737,598,765,996,239,
333,294,096,179,570,490,693,113,377,422,970,404,071,216,991,886,440,099,931,
603,330,195,354,747,305,592,424,603,655,691,724,670,954,791,839,289,952,466,
614,233,470,930,911,947,100,614,501,615,956,822,986,237,192,757,405,418,608,
952,951,470,023,182,868,867,454,084,524,507,689,152,852,922,029,296,447,538,
525,417,494,710,292,266,116,334,206,997,271,522,866,798,641,591,444,277,560,
485,996,787,340,626,227,072,192,033,221,760,194,838,611,167,968,514,080,307,
180,107,089,253,954,784,432,029,536,320,160,731,571,616,171,355,728,922,650,
997,640,773,898,808,628,392,082,117,029,677,612,541,505,275,720,904,174,394,
134,443,826,253,009,779,593,017,266,249,123,485,301,309,413,099,819,052,183,
876,823,479,466,695,379,187,268,715,545,431,149,936,300,175,447,175,939,783,
933,060,371,255,524,531,155,404,575,962,355,192,223,650,988,040,793,598,897,
710,472,862,120,404,120,338,555,660,538,109,838,961,952,526,050,951,019,018,
082,192,413,995,934,636,753,752,651,900,389,834,822,868,248,794,690,452,630,
215,312,422,590,432,681,654,552,460,832,811,074,384,298,409,526,698,810,058,
576,560,542,963,233,516,681,592,497,149,930,283,845,108,754,157,103,186,251,
769,158,634,950,587,765,971,215,897,248,159,558,197,163,877,753,950,986,378,
436,918,825,095,275,604,402,345,335,526,838,368,895,588,464,415,807,542,062,
886,739,990,336,152,824,689,190,544,568,772,339,874,491,473,949,590,060,344,
588,643,136,069,705,023,303,740,839,385,678,585,498,025,798,852,042,359,692,
601,370,783,081,714,513,632,839,579,186,265,504,833,161,146,200,522,833,170,
628,556,901,160,382,304,376,004,544,913,038,936,222,957,090,228,220,115,833,
291,432,654,059,171,712,945,859,477,229,496,351,311,645,265,725,674,673,962,
614,060,924,836,749,979,163,540,818,757,144,755,409,590,709,444,267,393,058,
384,479,338,586,711,661,631,818,364,933,801,846,726,955,297,851,494,638,099,
665,122,406,268,873,058,916,633,830,534,900,876,943,579,858,761,909,764,639,
291,006,697,732,146,996,296,418,579,085,162,110,303,480,321,588,523,423,315,
159,182,568,890,307,367,275,104,856,767,080,908,009,792,557,972,506,565,648,
206,272,237,433,656,846,383,099,630,475,152,589,279,515,089,592,126,341,465,
596,164,661,713,717,583,663,975,531,283,367,501,437,686,803,850,576,639,888,
597,691,644,413,829,262,971,764,750,179,962,186,447,857,740,675,901,764,558,
404,760,673,663,880,255,650,793,679,058,178,734,891,653,703,193,736,466,757,
652,230,126,543,518,550,028,692,807,902,583,860,161,705,655,650,294,977,955,
523,814,762,310,070,662,239,465,933,206,593,621,590,905,777,849,541,483,086,
130,876,372,839,776,229,386,013,353,267,951,130,455,257,232,143,890,217,460,
033,658,484,605,921,621,295,352,464,219,717,571,257,032,946,386,600,073,661,
355,694,976,978,036,205,578,806,741,085,988,549,328,444,529,376,651,482,601,
751,124,148,428,830,331,096,773,300,921,735,256,281,674,316,738,529,911,293,
471,768,901,966,379,075,914,379,388,737,402,011,507,528,269,054,968,609,476,
762,479,010,510,856,370,533,593,716,089,780,830,779,516,230,447,123,764,674,
610,989,537,349,404,034,391,421,768,521,773,673,504,992,879,821,237,312,063,
023,101,030,015,862,653,648,027,829,422,372,717,389,116,014,980,999,100,550,
705,774,422,624,039,096,818,093,822,572,411,975,891,454,249,766,507,484,570,
863,642,730,473,232,510,550,380,563,911,027,513,894,347,585,473,667,092,142,
918,509,493,706,943,711,921,036,367,703,118,768,923,147,668,453,393,356,693,
684,570,934,163,744,579,440,303,531,883,578,901,228,485,535,349,591,811,183,
726,396,748,814,841,950,730,454,419,095,737,046,041,682,837,829,360,004,710,
360,399,698,591,803,096,511,080,991,338,698,095,721,535,533,857,699,813,989,
976,587,579,065,041,030,482,275,103,333,690,350,561,899,723,257,188,915,705,
058,775,612,733,015,165,301,329,773,099,090,494,560,065,684,912,755,455,451,
867,863,049,724,503,333,677,543,714,649,643,953,538,034,981,802,337,935,273,
713,841,517,346,914,658,926,456,833,273,979,985,096,251,093,223,240,144,870,
171,740,661,330,988,410,745,775,833,239,498,718,530,792,816,201,662,999,405,
951,968,549,859,364,738,401,986,062,554,155,086,324,064,464,198,812,315,683,
765,235,881,991,469,478,911,123,302,632,319,520,685,473,573,080,474,983,036,
926,543,157,727,324,796,019,982,717,308,133,073,215,893,268,543,156,793,876,
461,188,904,120,151,709,612,319,362,607,082,528,271,912,868,498,673,416,039,
059,231,310,393,830,852,696,253,469,535,436,765,571,473,723,254,955,060,175,
105,958,025,817,144,729,340,529,430,760,449,747,898,295,900,537,351,218,005,
578,917,485,161,816,844,254,858,470,667,211,466,369,363,487,362,486,750,408,
552,053,774,316,208,095,698,505,545,848,759,519,310,266,205,680,345,370,570,
507,727,404,156,069,703,901,891,806,189,783,335,648,185,404,067,344,603,589,
697,507,384,925,258,814,549,392,567,791,438,769,168,228,692,539,355,474,913,
580,928,494,304,887,052,892,526,457,167,636,342,279,164,126,672,319,961,033,
209,126,131,494,032,272,110,223,367,145,858,007,199,671,338,249,638,086,503,
742,415,111,983,916,119,935,754,547,572,893,749,276,019,534,607,254,083,982,
834,412,592,047,373,976,440,465,718,467,423,217,338,439,739,641,050,700,592,
084,601,581,199,373,127,053,500,148,341,549,633,824,861,854,078,753,454,611,
400,166,080,659,469,343,727,934,128,510,603,483,513,925,758,456,688,978,213,
097,642,131,083,564,223,129,893,156,332,553,289,999,733,606,478,354,940,093,
187,308,354,925,916,465,360,256,893,712,777,687,360,343,956,427,642,471,089,
013,945,014,779,846,329,456,111,176,166,707,688,708,528,397,656,241,703,167,
645,635,889,763,388,227,284,028,141,257,202,395,713,172,041,497,414,741,287,
520,172,852,956,798,912,143,839,789,246,925,111,876,444,254,449,396,783,484,
965,521,352,058,580,179,478,713,173,843,978,822,720,051,024,602,281,498,707,
607,367,657,822,630,492,271,539,481,306,770,476,015,694,229,834,223,722,791,
121,055,893,391,095,484,879,141,202,015,250,940,642,893,748,551,377,398,843,
578,430,367,075,996,696,701,409,197,651,627,987,846,429,055,108,336,434,160,
516,553,865,042,012,242,343,717,478,807,266,474,499,718,407,576,287,051,734,
046,615,063,596,681,102,633,771,775,128,848,039,903,736,089,156,886,987,239,
942,673,819,206,778,937,571,223,021,689,027,439,206,021,571,343,364,119,086,
819,971,628,692,362,752,388,147,442,685,863,286,104,478,142,204,788,576,443,
043,386,263,710,670,721,177,593,855,011,931,711,201,230,455,054,157,537,051,
727,578,104,247,449,879,319,403,951,777,279,534,255,625,413,369,805,957,701,
107,743,885,143,453,250,029,380,880,604,567,852,228,342,763,640,467,213,569,
835,604,789,761,326,479,979,124,928,722,660,635,888,844,439,503,040,141,823,
845,756,085,599,568,696,124,622,895,563,732,244,411,093,699,768,950,724,252,
500,714,016,317,662,946,154,077,618,253,168,479,180,492,642,991,361,331,658,
610,121,460,082,623,891,968,672,710,720,183,478,276,687,349,970,098,495,128,
587,856,014,427,994,566,078,413,737,274,019,338,254,208,726,982,083,339,374,
754,574,010,073,294,570,484,547,936,485,051,734,853,512,507,282,736,406,311,
886,103,985,572,834,860,504,209,239,417,944,168,163,246,439,774,848,855,572,
151,780,404,560,045,260,003,467,851,507,815,742,104,900,803,448,960,822,568,
267,582,734,297,379,198,069,784,460,495,477,821,466,172,786,873,394,370,574,
113,590,777,761,679,311,217,562,813,629,047,410,073,161,039,500,650,561,675,
793,415,925,963,990,692,056,950,521,169,219,575,226,377,633,633,449,814,410,
739,686,421,490,792,628,802,883,568,392,896,481,429,853,882,259,328,309,784,
568,493,926,925,189,160,997,461,050,152,785,180,046,616,446,222,784,769,635,
850,005,228,929,308,300,646,038,717,148,375,537,971,959,354,094,684,284,428,
839,487,469,892,304,059,660,937,437,586,672,826,877,086,970,975,689,816,430,
556,178,512,082,635,161,719,056,801,263,743,425,194,936,512,699,892,896,384,
941,607,874,627,378,261,924,727,394,023,276,210,625,784,136,079,479,471,775,
342,146,054,409,782,375,114,492,070,920,389,004,382,574,847,953,731,599,895,
176,152,299,961,570,504,798,008,172,549,800,377,506,613,274,135,729,135,786,
766,946,451,490,934,360,625,615,460,225,374,569,213,164,097,655,392,534,959,
804,811,492,730,831,871,792,519,119,214,961,851,950,045,596,350,420,571,538,
117,066,186,738,708,930,148,356,036,397,738,589,376,875,349,784,791,926,633,
164,630,322,211,425,649,690,853,075,301,869,776,986,584,051,308,745,333,129,
298,564,738,388,627,668,111,430,285,076,857,990,371,857,462,506,822,519,634,
336,431,390,598,151,202,325,003,884,925,703,448,170,388,028,608,303,529,232,
780,187,929,879,063,984,202,537,948,658,871,435,157,654,848,012,687,230,139,
119,347,607,633,307,827,944,562,970,342,439,122,139,629,491,361,546,274,715,
907,169,177,051,843,506,167,690,508,636,464,293,963,256,423,319,554,720,041,
176,345,412,383,965,292,173,700,228,653,024,816,529,767,528,003,429,261,614,
907,013,114,857,606,899,760,540,472,089,855,770,324,395,303,579,929,063,605,
498,131,519,095,270,758,980,153,416,440,298,258,164,340,962,972,065,800,660,
772,203,618,345,540,206,891,546,213,872,924,455,672,010,147,673,939,164,932,
831,560,460,139,549,798,831,637,930,920,094,499,457,445,979,446,649,909,850,
218,957,802,559,939,602,189,704,816,372,374,153,502,997,686,613,073,511,870,
646,992,968,145,191,702,329,755,317,351,289,266,214,973,054,844,801,964,917,
078,849,367,036,690,944,828,531,302,593,179,890,425,378,284,181,291,320,588,
754,822,218,182,854,798,095,215,513,866,111,994,241,627,889,743,018,042,881,
685,493,587,728,358,341,093,942,347,965,907,121,619,646,229,629,073,671,639,
186,414,676,550,821,211,316,628,754,006,894,039,462,930,395,441,590,227,661,
526,250,145,975,414,050,158,915,709,110,707,112,950,449,039,937,074,172,667,
581,167,863,010,254,147,786,460,860,890,924,224,248,872,040,009,143,002,325,
442,525,088,095,009,422,272,964,891,406,675,475,943,848,067,526,714,166,815,
835,884,460,859,560,030,675,582,788,404,548,151,351,378,439,719,857,549,741,
139,638,244,128,344,626,952,700,676,251,720,326,197,133,036,904,117,777,552,
758,810,876,703,029,776,669,887,710,135,149,163,432,667,906,440,683,951,429,
869,786,006,199,279,024,846,552,483,023,348,822,683,219,920,810,933,355,966,
854,099,018,107,318,157,495,937,822,962,322,858,805,833,197,726,902,885,703,
723,606,726,463,864,886,744,302,504,749,098,978,467,643,868,894,014,350,426,
159,977,924,474,151,759,952,839,122,497,684,598,463,916,157,082,985,179,949,
991,436,773,921,853,065,113,038,819,806,182,010,605,989,099,305,970,121,314,
543,708,451,741,234,573,410,201,089,146,775,411,966,604,352,392,936,374,929,
411,313,413,492,830,438,993,327,143,130,431,909,750,520,381,799,446,673,867,
795,707,902,225,747,938,867,259,750,977,484,194,594,777,471,756,707,209,702,
179,011,593,004,648,762,278,920,494,698,071,641,135,616,034,005,946,448,885,
115,617,141,220,714,473,146,995,894,186,396,126,136,483,941,265,654,733,684,
272,041,464,041,140,384,212,735,383,601,646,859,011,840,227,546,728,722,430,
100,796,821,169,597,677,765,741,075,744,803,513,094,687,681,388,883,434,699,
581,666,580,841,136,072,687,981,361,391,288,342,000,482,963,511,559,930,924,
079,639,545,420,415,166,502,092,792,572,051,312,279,142,721,727,023,960,284,
253,731,741,396,509,601,449,476,533,721,512,177,122,796,303,185,203,429,896,
084,521,635,155,989,061,291,149,383,552,680,272,898,151,721,192,510,206,651,
999,961,597,232,418,831,950,887,093,071,726,587,658,353,008,278,362,367,208,
863,074,591,414,418,445,635,692,548,872,916,246,794,262,902,656,369,924,777,
662,898,239,780,973,710,275,246,620,527,198,677,691,214,877,362,603,732,500,
523,982,152,748,069,423,199,715,174,162,089,997,516,762,392,464,068,904,726,
615,115,186,856,040,266,057,939,847,259,288,907,048,146,878,886,876,690,606,
758,008,962,649,333,318,925,341,027,417,739,957,825,995,417,344,554,106,161,
500,265,849,985,613,492,975,728,921,300,321,257,506,905,648,682,702,394,526,
638,651,146,050,768,397,168,634,645,921,622,189,284,499,538,361,061,615,688,
179,709,767,041,930,413,627,659,380,681,775,659,138,831,035,710,602,461,412,
931,345,673,245,975,494,492,097,772,432,062,515,593,851,883,729,897,889,432,
791,479,112,312,310,515,064,624,080,403,232,961,491,577,381,718,619,884,870,
185,161,631,940,685,105,702,838,885,299,977,103,955,927,043,491,582,469,556,
505,727,994,690,921,667,480,013,664,152,463,622,121,986,632,005,895,795,359,
378,340,416,022,356,004,306,092,274,186,555,934,960,114,487,975,021,514,304,
284,749,586,423,464,360,479,893,082,811,464,024,876,663,626,190,296,002,097,
133,456,356,266,396,473,760,149,758,150,763,263,907,352,683,630,123,621,792,
237,118,368,021,515,646,436,438,701,268,795,015,005,047,036,521,221,243,774,
469,360,712,714,762,675,953,470,405,314,022,729,598,177,957,360,364,508,303,
077,645,465,263,790,094,362,918,484,514,169,446,753,246,805,257,265,961,523,
926,925,103,563,907,463,505,348,381,864,702,128,399,322,393,751,817,062,137,
729,645,125,551,803,427,943,114,450,540,330,688,104,545,496,613,911,516,955,
106,365,272,351,918,644,724,280,274,204,631,755,656,777,038,109,058,693,061,
698,498,826,374,264,838,552,026,140,261,342,383,034,195,318,027,393,869,148,
431,756,439,786,599,579,672,109,522,785,375,003,730,474,155,632,015,014,234,
409,305,891,893,356,858,688,276,782,851,475,564,671,969,974,385,455,733,924,
293,698,962,363,337,647,182,705,760,135,408,838,563,758,559,509,766,195,338,
010,548,445,432,810,066,957,870,664,836,626,750,668,553,341,072,616,122,318,
119,650,930,907,662,072,612,828,738,902,960,748,882,962,291,908,266,184,149,
275,921,401,599,141,978,939,891,538,959,376,537,349,213,707,523,049,727,768,
053,774,477,809,601,837,036,826,851,007,281,580,218,760,333,261,182,887,198,
592,212,717,841,850,882,967,914,407,806,987,434,302,472,144,034,582,061,686,
078,946,804,107,279,972,921,600,216,182,237,098,807,167,278,107,480,321,849,
875,160,190,738,621,983,342,523,663,232,145,078,982,179,708,697,037,204,298,
926,485,214,386,784,835,864,887,268,388,104,213,035,873,511,562,143,113,087,
434,080,263,494,473,055,090,566,705,173,342,473,561,721,155,933,823,564,272,
298,472,706,954,159,263,570,981,990,054,738,930,475,629,358,667,507,883,607,
237,257,990,996,988,909,316,654,185,846,888,641,766,863,457,273,770,243,712,
919,607,249,154,314,078,388,803,889,005,819,345,018,662,734,665,842,891,438,
075,940,205,610,796,496,900,421,019,848,653,162,346,045,628,957,718,889,842,
238,333,166,543,055,773,088,045,989,168,971,503,621,651,329,036,652,252,840,
874,495,817,114,512,568,052,602,561,343,192,084,582,881,096,718,349,980,822,
990,025,802,646,750,284,166,963,133,794,877,753,304,203,793,056,014,429,837,
798,619,807,738,617,479,267,238,829,295,946,503,582,537,310,819,287,053,853,
867,503,116,106,294,507,934,106,516,914,137,670,757,027,548,819,919,213,629,
514,820,369,659,133,181,128,926,671,889,516,174,541,632,541,845,404,595,302,
614,217,074,374,415,542,626,323,965,214,611,621,958,013,694,783,808,967,873,
532,604,982,807,204,964,596,674,147,902,825,190,898,490,810,624,543,032,957,
723,899,752,063,070,814,049,808,775,529,357,085,773,036,108,244,246,088,728,
374,819,353,422,152,382,112,032,573,481,383,840,390,157,339,553,952,228,494,
285,212,565,637,089,802,379,173,369,618,571,546,589,349,893,889,344,457,488,
643,849,461,990,655,211,094,378,310,035,778,967,778,799,118,492,227,909,206,
181,916,941,317,889,835,392,491,582,592,149,435,603,593,394,158,218,557,038,
783,109,258,390,826,615,602,990,475,733,167,227,919,587,554,909,422,607,375,
442,414,595,931,173,487,824,033,376,564,275,657,729,673,041,943,546,927,434,
279,803,015,681,930,091,650,015,567,674,647,043,123,985,903,202,194,183,607,
092,385,873,119,208,289,734,322,702,718,742,503,516,655,857,672,832,293,815,
920,216,788,770,792,902,923,190,070,369,173,740,018,872,587,259,479,027,959,
127,057,551,489,109,811,835,600,256,144,409,466,788,902,289,646,338,834,765,
252,908,414,642,647,032,699,575,582,727,868,306,101,919,219,450,454,729,908,
094,798,155,811,551,643,372,592,336,167,732,670,731,021,013,329,552,645,303,
082,310,431,647,966,947,242,504,954,115,378,268,115,830,231,214,890,156,894,
039,693,493,351,455,682,602,234,683,504,365,887,495,550,284,134,574,183,959,
473,591,057,937,741,729,233,412,626,582,002,936,607,264,612,649,661,278,001,
440,440,059,946,233,650,821,242,144,505,473,163,838,816,851,052,803,170,874,
668,403,633,909,374,936,014,296,317,687,723,344,524,912,285,965,311,612,191,
700,467,273,657,451,100,822,700,429,740,044,355,251,625,508,707,268,756,355,
896,105,867,685,976,121,479,394,242,997,362,112,843,529,039,829,334,070,389,
042,566,507,931,468,335,547,443,006,907,278,639,069,469,543,880,828,715,971,
321,267,581,807,372,807,541,554,359,510,229,974,760,003,681,719,357,387,679,
584,214,510,517,172,030,273,053,776,669,524,779,364,016,711,044,486,446,693,
494,091,330,163,828,594,013,197,491,152,175,505,696,349,150,886,632,459,604,
949,739,122,646,186,622,534,098,821,651,084,569,795,591,536,890,504,947,505,
330,379,720,018,315,794,864,583,104,828,305,815,567,929,580,400,193,447,643,
789,677,965,563,128,698,951,877,179,160,705,942,905,189,684,204,098,516,710,
512,840,482,133,961,015,874,172,892,649,472,271,568,672,230,492,414,409,533,
977,572,224,414,607,252,568,338,600,370,284,139,846,619,224,515,692,189,373,
079,804,050,867,953,229,421,742,948,502,299,384,013,109,465,579,626,872,943,
644,682,353,582,023,425,280,829,806,812,523,636,749,482,634,113,477,238,660,
046,503,072,034,970,786,526,353,179,851,094,949,504,163,371,233,721,645,583,
621,874,016,505,933,917,414,049,067,032,749,637,958,886,658,596,996,694,127,
984,831,302,756,507,377,772,226,873,358,013,422,144,794,035,231,761,527,878,
940,469,256,222,779,347,765,340,491,999,494,276,232,071,384,863,833,601,419,
828,100,931,029,692,410,110,711,508,006,607,637,263,791,468,134,579,000,250,
863,174,395,608,028,451,750,475,337,103,293,770,044,546,014,411,560,985,921,
349,128,317,721,502,154,501,999,554,425,356,372,108,629,692,197,469,213,039,
011,303,544,118,951,569,912,400,210,378,531,991,997,438,694,877,940,343,536,
731,713,164,881,157,480,944,598,843,766,719,386,083,052,756,943,242,078,387,
315,054,603,873,704,446,761,327,700,575,369,095,432,750,559,434,181,053,276,
168,120,153,948,907,859,728,587,250,050,354,931,503,189,046,383,761,621,527,
942,709,982,114,200,745,402,691,332,612,483,860,238,378,453,235,447,317,580,
923,659,072,733,217,719,715,931,145,480,914,089,141,090,941,263,393,958,865,
975,081,220,167,134,237,908,448,845,606,058,606,529,727,394,267,259,994,548,
510,428,063,957,809,903,539,938,093,313,640,508,937,475,285,986,363,411,688,
167,855,350,956,496,375,959,873,077,870,439,996,595,492,361,588,565,658,713,
665,990,988,699,245,193,259,984,242,408,644,738,080,663,545,410,302,638,725,
236,143,950,814,140,014,853,815,041,830,012,903,708,537,974,261,732,460,956,
700,624,267,628,498,326,089,879,609,982,028,863,797,287,281,470,126,881,458,
235,621,243,745,027,547,631,574,059,033,222,614,723,878,166,403,101,142,595,
546,806,009,551,697,032,868,190,241,762,449,359,963,801,901,626,498,278,370,
733,677,984,170,174,881,062,501,776,576,183,812,548,601,644,939,444,882,117,
697,667,533,410,436,122,148,894,593,857,111,620,467,309,557,978,582,367,802,
588,619,914,618,235,185,007,089,608,758,215,240,520,186,687,617,286,951,363,
384,776,079,522,994,044,199,049,314,089,160,489,747,391,741,666,789,856,371,
530,197,362,177,238,239,138,374,827,518,434,758,692,521,705,170,619,155,275,
895,189,682,763,738,235,044,423,829,292,083,594,560,401,864,591,059,383,175,
814,222,645,869,843,435,122,835,211,996,796,275,191,910,228,341,135,999,281,
509,902,715,138,287,706,525,646,537,364,188,725,358,109,785,768,145,653,607,
343,558,512,280,636,605,425,770,559,125,758,210,619,870,401,961,060,079,792,
915,405,313,507,573,941,789,836,714,218,806,421,559,577,483,417,179,678,933,
619,237,810,912,648,328,118,445,073,011,928,019,985,188,971,111,446,903,500,
125,242,689,974,793,356,283,556,547,420,284,932,736,794,319,532,347,976,557,
213,260,954,727,394,291,906,230,139,092,833,382,985,192,120,045,183,839,929,
629,505,853,394,273,298,467,872,887,681,239,155,235,802,507,498,185,823,645,
351,419,922,968,325,397,631,152,062,699,669,615,415,507,133,037,719,061,036,
801,553,738,596,789,362,393,580,903,280,290,744,430,761,843,739,086,587,279,
959,108,110,374,884,002,015,791,737,769,050,851,947,125,509,990,827,051,576,
645,410,870,749,749,136,673,689,584,140,001,603,937,468,959,546,850,752,086,
093,138,787,038,730,008,964,332,004,808,419,371,341,116,329,093,699,048,151,
924,569,386,116,829,908,319,900,152,424,409,130,669,649,652,387,915,642,147,
770,329,894,671,805,927,878,328,933,451,523,500,558,326,433,683,202,182,028,
533,541,637,428,612,306,605,815,664,572,409,110,840,087,958,046,384,880,327,
562,047,290,882,837,411,233,142,548,239,652,680,238,342,630,737,949,080,426,
690,372,047,032,603,505,903,072,687,015,307,258,057,843,170,811,519,315,918,
911,656,536,847,047,572,033,040,641,115,549,538,191,897,516,452,790,613,860,
975,020,943,629,466,113,201,088,188,833,784,905,776,157,375,851,838,106,836,
786,537,392,186,768,468,901,101,659,139,192,800,585,719,183,380,903,254,406,
858,739,453,841,575,073,549,518,851,611,308,633,901,280,812,505,278,582,157,
625,830,478,710,952,883,266,897,618,025,085,152,940,526,879,838,875,866,484,
410,223,719,170,087,127,668,971,485,243,018,857,616,375,346,586,794,596,108,
943,946,515,457,004,332,256,472,750,810,292,223,476,171,436,990,052,597,906,
526,298,012,700,188,565,734,400,494,481,724,101,800,931,608,646,335,312,970,
883,208,496,371,686,874,723,659,752,854,290,677,283,859,330,772,281,879,125,
182,983,998,519,245,935,141,818,516,886,190,800,270,114,475,526,165,231,616,
513,759,196,586,266,153,048,170,785,548,506,052,939,785,796,007,349,463,321,
562,989,126,605,664,547,981,235,857,451,139,773,552,243,625,111,024,799,624,
849,943,227,894,450,711,314,667,418,416,206,878,517,475,485,594,932,768,594,
097,048,508,342,541,748,358,092,818,057,998,966,930,616,438,860,109,709,304,
420,760,959,043,846,013,205,239,519,542,200,335,074,873,071,416,121,328,650,
917,272,132,050,035,227,937,918,262,570,314,943,538,023,900,470,862,114,338,
999,738,568,686,552,882,479,541,362,514,365,378,626,589,549,278,977,452,337,
475,745,697,215,240,755,183,129,824,546,876,647,131,898,600,744,404,246,715,
583,622,331,326,425,438,231,161,658,493,114,960,076,791,651,373,701,415,040,
496,450,234,891,078,118,882,844,671,929,792,047,393,129,763,909,394,994,386,
463,402,820,591,901,325,312,591,296,254,594,085,812,731,914,394,255,552,168,
390,754,202,503,497,665,172,888,148,254,549,998,063,252,280,499,476,944,283,
328,143,134,237,740,385,369,727,447,208,928,772,011,501,262,865,293,536,046,
551,400,670,562,048,233,836,075,654,610,808,007,626,589,681,003,868,996,151,
312,950,520,916,367,474,596,482,129,726,261,589,952,932,036,882,799,160,784,
246,519,632,212,513,056,918,255,070,226,659,650,630,610,071,377,645,206,707,
577,427,029,390,165,255,167,329,472,260,238,869,465,837,589,786,849,523,882,
738,316,911,544,744,132,688,852,381,899,886,101,710,861,769,264,732,151,785,
156,459,171,847,401,664,465,560,018,159,003,836,729,258,072,827,025,914,004,
525,338,351,494,654,932,013,086,293,760,664,190,016,073,934,280,256,405,553,
454,041,311,804,901,177,367,818,021,053,215,957,194,363,792,959,602,483,558,
939,749,964,880,391,140,640,188,008,221,674,019,596,639,957,499,467,698,428,
671,392,489,275,424,368,073,708,211,009,647,175,116,425,977,050,634,016,622,
632,984,434,681,935,798,884,405,280,671,739,950,842,557,733,185,141,582,343,
347,716,191,562,044,478,994,299,987,908,597,289,966,781,750,015,431,134,146,
595,215,219,299,189,241,438,852,917,809,986,738,151,049,887,745,670,176,733,
740,973,581,853,458,716,503,533,203,463,951,356,972,869,843,767,842,604,014,
699,226,490,119,543,076,272,515,572,155,917,543,516,850,961,226,731,979,765,
950,650,934,439,809,644,203,502,248,518,977,465,529,543,884,449,445,868,172,
019,168,629,838,177,110,135,486,429,815,509,953,394,234,554,404,889,842,392,
221,921,450,893,826,099,969,119,715,653,436,053,038,773,435,943,159,803,357,
030,963,402,183,951,273,397,540,012,792,616,790,148,792,412,968,403,227,172,
462,699,376,659,095,691,974,194,565,602,911,036,082,435,670,168,565,265,259,
171,740,214,648,557,519,197,601,647,350,182,006,100,188,815,654,604,782,473,
798,747,770,901,983,658,681,126,638,222,736,564,418,396,993,978,267,063,927,
297,453,735,338,012,404,514,546,540,245,954,075,465,009,290,418,341,189,450,
811,767,502,375,558,695,450,124,608,695,393,949,976,701,626,114,306,776,323,
207,244,768,923,959,589,815,772,216,748,599,176,814,642,765,768,229,628,981,
010,589,311,099,681,631,306,129,826,872,215,222,802,689,926,446,433,728,054,
238,948,258,729,229,811,190,524,619,822,420,922,595,053,592,686,757,887,315,
494,506,030,330,370,272,831,709,610,138,053,198,452,541,101,185,280,331,072,
804,045,167,351,792,862,492,616,059,659,237,416,570,682,192,293,360,800,250,
948,242,157,221,898,758,371,798,894,818,487,126,326,266,515,545,368,563,433,
895,739,061,874,267,303,638,942,306,480,944,561,754,753,829,831,737,932,269,
005,512,988,071,437,133,997,488,517,816,801,036,451,752,890,143,410,687,641,
840,889,820,030,024,369,164,779,434,807,619,574,904,987,517,430,799,388,494,
315,368,266,378,257,359,715,191,200,723,197,894,742,619,912,290,957,941,460,
104,666,834,540,470,171,056,801,920,623,697,922,392,691,793,730,534,404,353,
817,034,997,330,848,335,710,390,030,805,712,222,676,213,420,819,166,557,490,
918,070,819,976,637,906,821,394,215,778,007,216,512,880,960,371,170,226,555,
019,627,402,043,106,660,758,425,073,272,335,708,951,825,525,699,350,305,918,
238,413,340,373,176,635,444,163,923,297,206,349,551,764,152,078,027,243,911,
557,641,617,230,414,468,065,973,253,891,561,532,285,220,796,878,088,062,562,
662,266,026,797,846,225,336,042,045,522,604,076,406,418,106,580,832,808,163,
088,222,531,882,957,031,201,975,781,025,920,100,182,078,211,732,685,301,232,
175,734,688,329,533,617,732,348,419,690,698,409,032,492,770,090,156,169,893,
958,922,345,824,595,135,073,587,786,208,198,810,302,066,688,962,281,702,006,
949,076,393,196,343,774,488,139,188,383,947,128,443,547,654,193,818,463,611,
078,322,450,456,031,558,534,160,018,927,774,092,386,009,696,632,468,434,920,
972,530,110,543,045,446,017,830,674,309,689,300,203,948,544,762,108,443,638,
592,828,574,039,879,004,853,542,448,409,547,885,014,992,245,166,586,405,924,
923,532,573,758,847,170,706,034,177,996,427,211,450,912,649,766,134,515,565,
663,787,092,986,144,342,944,380,819,216,460,748,016,666,537,845,150,282,279,
368,266,741,032,157,298,961,935,138,484,943,611,597,169,915,599,277,733,820,
349,660,240,162,257,967,531,882,298,832,942,788,364,226,515,517,082,543,439,
366,404,044,483,111,274,927,826,384,472,141,287,438,051,933,812,735,175,640,
315,991,635,546,439,557,212,169,571,101,426,767,330,283,660,522,688,262,893,
766,321,068,344,205,690,451,933,387,360,107,909,601,448,157,674,860,775,897,
394,205,098,201,267,019,037,980,712,365,397,456,893,131,829,151,982,247,869,
612,070,056,845,702,491,445,412,104,259,802,971,139,189,255,994,218,382,407,
114,129,323,220,713,000,973,230,188,050,592,413,450,367,662,819,575,422,694,
745,381,516,563,604,702,232,555,262,356,272,729,248,796,630,448,264,702,685,
526,062,857,163,802,247,580,970,529,753,472,898,841,510,816,597,325,363,875,
603,945,042,896,629,919,476,247,227,864,149,183,691,568,479,420,058,262,081,
657,326,559,742,288,789,866,893,753,627,616,000,750,144,221,111,717,411,719,
136,939,959,003,393,579,561,858,113,052,077,966,514,046,844,566,240,251,874,
473,471,306,294,298,789,448,875,318,021,435,705,924,924,364,064,074,038,129,
013,771,256,998,988,146,225,441,895,548,632,711,252,361,203,039,736,769,092,
186,514,383,694,589,042,600,735,288,353,775,236,567,616,297,100,503,192,548,
751,381,186,456,912,766,066,141,754,997,160,636,234,841,054,603,795,001,483,
410,974,661,420,337,090,612,760,074,721,767,451,253,240,472,723,116,968,005,
386,931,150,411,361,354,178,695,907,647,089,224,039,886,573,150,564,916,804,
646,088,328,233,444,431,684,670,268,586,052,265,889,902,168,697,988,449,727,
293,675,009,973,001,223,023,021,064,502,417,431,397,572,940,469,872,397,705,
689,492,481,153,917,859,976,343,762,457,389,258,734,990,860,485,812,508,351,
490,148,990,287,836,372,503,321,691,070,138,152,679,592,356,779,354,095,824,
806,910,825,235,330,643,960,874,296,127,302,852,965,083,972,659,001,633,786,
390,602,313,222,916,641,453,822,559,173,240,174,842,907,971,895,093,226,318,
267,437,952,512,745,476,191,977,700,743,511,127,229,218,870,919,941,997,528,
933,406,549,338,500,404,988,498,124,938,121,757,188,983,098,555,622,468,973,
991,577,438,846,754,388,598,074,883,780,744,421,219,299,200,183,729,420,228,
578,747,674,472,657,890,525,404,943,817,997,573,684,570,913,117,134,306,518,
110,962,452,606,839,742,260,368,001,588,023,402,720,077,192,619,828,067,391,
711,347,237,559,203,429,228,476,469,037,145,438,083,303,989,865,998,853,551,
208,612,524,262,157,023,783,895,122,918,723,325,080,166,212,682,760,479,194,
910,931,667,173,941,387,112,829,850,839,942,199,213,919,456,889,264,019,291,
964,870,141,069,127,691,381,538,585,194,109,101,381,849,969,151,486,399,453,
870,355,677,931,125,984,272,789,996,891,130,942,390,004,593,997,298,753,915,
948,193,014,809,716,120,402,420,232,451,671,662,281,744,946,922,472,357,257,
386,829,294,202,219,831,296,606,185,817,966,874,688,788,270,396,203,865,311,
043,863,292,099,536,621,596,325,551,022,043,466,076,769,523,467,879,791,139,
351,754,610,453,024,463,540,106,259,504,890,843,220,596,125,361,816,244,461,
489,598,892,983,211,178,625,793,341,053,502,585,001,912,958,620,958,389,436,
525,385,957,542,547,587,295,865,755,710,181,903,850,883,912,348,586,503,406,
467,290,534,350,318,904,242,636,289,715,630,618,212,292,351,155,449,303,024,
972,383,972,015,045,923,862,774,628,423,508,159,283,788,059,225,280,419,341,
362,185,394,873,921,905,797,172,548,886,583,334,681,724,017,182,242,849,267,
711,969,014,659,138,255,404,927,486,472,164,849,670,214,563,273,890,104,327,
368,663,722,885,732,782,943,215,977,908,813,159,264,156,949,058,506,837,439,
413,994,589,211,320,894,398,095,405,340,926,461,350,637,972,912,836,366,150,
105,449,952,357,292,877,716,641,820,663,846,403,417,166,831,372,043,878,076,
517,007,614,124,297,522,334,305,475,800,403,634,289,739,170,927,731,072,698,
562,747,405,385,855,110,157,237,835,374,602,356,489,156,832,861,635,902,834,
860,778,562,575,711,308,133,363,536,168,404,376,598,107,538,767,129,485,372,
000,282,511,923,892,826,952,841,795,030,604,601,812,037,573,619,879,011,393,
738,593,272,940,931,800,737,277,400,196,399,030,527,717,689,851,176,489,692,
901,348,183,150,455,334,633,991,345,379,462,455,673,756,620,249,369,320,644,
947,327,697,466,062,704,529,859,177,196,006,173,937,799,220,254,011,965,435,
900,653,353,554,540,156,334,542,157,053,613,791,254,210,984,314,975,423,588,
946,856,969,809,505,868,876,758,840,850,930,854,335,147,108,081,212,510,534,
464,618,956,046,745,607,833,316,091,475,643,324,648,370,499,457,719,085,271,
902,085,827,399,214,482,157,640,396,679,810,949,453,264,729,466,876,557,717,
179,396,470,089,048,782,667,535,039,642,662,757,719,931,044,866,535,118,823,
626,625,196,242,154,733,877,118,368,452,132,668,938,307,334,460,551,185,606,
548,147,540,286,795,570,466,744,459,065,894,837,748,910,095,594,998,673,957,
974,650,630,822,140,689,261,398,884,983,630,751,736,766,945,382,388,185,657,
750,020,584,774,699,037,376,629,013,299,639,175,503,158,767,191,397,046,493,
948,414,067,367,012,398,010,000,816,397,628,477,172,456,065,936,097,769,904,
575,389,264,723,737,418,023,427,685,696,742,148,251,519,464,777,104,653,601,
926,053,050,154,718,771,974,164,322,923,394,256,574,969,731,245,321,919,541,
745,716,691,568,845,577,433,732,628,741,719,611,093,589,656,305,104,578,859,
395,065,622,936,941,594,941,237,398,520,475,782,826,980,497,960,810,568,024,
976,535,707,923,716,641,628,696,898,663,102,839,787,269,615,210,496,158,759,
488,022,515,269,390,669,198,069,068,043,585,530,913,373,029,849,427,485,828,
256,450,366,691,730,775,665,279,572,465,628,135,285,386,801,049,405,037,631,
255,200,776,119,846,983,263,688,615,272,774,233,493,012,581,142,389,775,389,
497,718,680,269,109,548,445,836,597,061,080,809,340,994,207,314,729,239,032,
576,517,400,508,950,494,375,354,001,536,827,390,645,828,117,765,264,913,746,
276,235,049,211,289,968,515,935,177,617,963,889,728,922,415,241,887,961,053,
896,999,298,987,946,477,134,705,816,748,201,390,231,996,673,860,493,358,046,
978,902,245,406,689,043,956,250,016,884,293,777,533,000,854,958,714,715,649,
742,253,634,607,000,737,131,217,873,514,701,383,017,230,090,798,843,656,406,
800,354,641,237,030,282,140,384,968,439,699,506,836,403,820,561,506,799,295,
648,104,280,123,596,009,870,428,757,145,111,680,469,083,248,726,560,025,243,
476,333,168,394,696,704,622,034,926,795,300,109,926,035,553,012,913,945,884,
452,071,489,512,851,696,982,135,491,515,801,110,319,786,412,176,771,920,822,
653,905,503,960,208,240,927,291,918,072,475,531,204,683,571,673,518,994,607,
915,277,680,455,232,909,833,469,377,864,685,666,025,552,182,680,321,889,271,
003,618,245,001,753,053,898,824,086,550,682,285,484,019,260,769,279,238,286,
959,537,036,471,607,340,739,565,564,269,297,943,169,911,372,271,692,866,883,
210,571,279,684,463,889,553,999,381,581,375,749,113,136,994,572,411,344,948,
152,205,534,780,313,038,437,152,932,553,395,074,135,622,361,572,360,506,919,
332,444,957,883,060,740,162,419,240,793,720,936,080,001,873,850,343,821,874,
141,563,487,376,712,528,805,903,783,358,173,089,128,890,593,964,268,387,102,
308,721,194,152,252,928,112,707,240,099,387,842,658,445,600,777,230,673,678,
371,669,660,407,931,836,980,852,623,925,903,598,762,835,883,934,685,394,847,
346,210,441,237,225,105,595,101,703,757,746,508,762,506,835,432,381,997,539,
704,030,005,983,230,105,874,617,931,121,433,133,073,942,626,972,504,175,480,
231,911,875,768,395,624,633,440,684,445,582,913,129,312,383,652,442,677,960,
680,248,734,375,292,663,782,030,709,844,422,099,692,865,828,637,484,512,482,
301,813,622,764,107,986,617,522,029,847,925,500,659,204,532,715,621,284,046,
788,997,383,230,072,687,135,899,826,649,104,471,679,663,521,482,558,864,694,
671,664,723,532,999,639,450,857,147,848,331,191,740,716,893,473,071,334,351,
073,551,662,373,825,223,803,906,405,818,387,477,051,130,621,880,045,939,251,
985,343,708,884,712,804,532,709,994,013,434,470,878,645,695,823,235,066,219,
847,718,327,230,840,173,629,241,019,194,472,149,561,071,680,560,236,687,679,
207,385,561,716,085,184,700,466,165,074,653,835,435,971,939,935,882,494,210,
887,635,541,008,321,271,967,389,464,216,786,945,554,361,094,676,052,212,651,
254,521,428,235,155,602,610,299,405,699,241,566,225,864,511,330,993,394,303,
458,172,344,693,504,056,202,009,985,684,351,259,480,265,094,779,096,789,056,
733,818,620,063,311,685,491,233,980,849,254,811,269,296,148,904,950,721,518,
248,324,784,968,124,525,569,151,728,631,445,818,373,816,662,169,195,010,967,
199,001,780,636,581,564,394,720,895,996,500,751,097,334,821,070,646,021,772,
155,365,424,531,418,299,552,831,256,346,904,159,978,750,747,604,865,841,912,
322,690,158,927,858,721,394,980,919,182,617,505,188,354,887,181,410,277,965,
776,982,652,040,508,794,571,814,190,899,810,723,828,334,054,537,218,327,842,
322,763,593,344,674,655,813,988,252,463,784,735,712,501,446,959,413,700,348,
748,839,210,251,889,887,623,851,612,904,855,966,844,056,301,292,985,833,473,
435,222,375,034,908,755,741,261,510,502,175,783,329,654,017,957,366,858,945,
942,621,766,360,467,906,648,215,808,447,049,544,867,140,149,575,530,043,137,
998,967,444,813,077,965,180,133,710,577,181,341,410,818,044,331,247,262,520,
718,236,423,061,853,195,232,433,210,237,058,014,345,476,141,196,398,242,328,
990,215,969,771,128,623,185,829,984,581,832,316,807,827,426,238,871,008,767,
946,397,943,852,539,944,177,229,837,287,226,743,178,359,073,504,387,567,043,
903,757,131,134,821,193,905,256,884,611,047,351,954,534,645,183,814,920,746,
088,189,397,665,990,908,238,123,037,853,630,627,247,012,428,972,905,358,676,
697,326,895,296,765,602,420,796,053,272,201,271,471,734,626,865,856,690,983,
933,745,943,105,889,177,313,686,761,749,652,998,113,370,010,683,510,180,256,
813,649,787,409,795,258,240,605,186,366,131,625,476,805,582,364,506,872,869,
091,158,434,466,007,884,249,464,511,948,775,959,846,379,305,463,897,188,646,
330,363,366,045,375,282,040,674,629,757,324,694,134,465,155,771,729,509,312,
481,980,528,379,218,607,593,107,004,656,396,750,163,868,207,641,788,867,367,
563,528,857,777,714,931,533,991,232,785,925,320,943,953,196,968,057,774,825,
319,442,864,857,561,853,850,680,286,918,500,641,020,774,459,908,270,530,580,
179,924,809,196,364,794,849,247,923,302,456,564,083,032,415,336,714,926,171,
827,970,184,875,687,740,717,171,013,794,215,294,406,451,733,798,772,600,354,
496,720,666,438,130,782,364,055,069,548,014,479,107,288,424,937,627,250,133,
582,979,490,416,336,229,333,905,874,049,503,874,114,881,402,763,862,206,548,
126,723,761,067,866,747,261,303,898,805,014,687,379,721,775,530,187,794,977,
535,011,616,856,203,871,323,045,764,441,220,346,452,785,047,525,100,514,212,
457,130,537,313,471,878,467,171,684,312,623,455,962,538,275,386,569,160,511,
237,116,295,825,595,219,778,110,140,664,690,120,231,852,745,109,828,647,076,
846,935,349,452,528,804,763,094,767,911,203,113,320,669,453,534,277,462,080,
304,029,586,398,997,120,393,281,468,270,459,150,307,449,593,957,309,154,684,
044,538,956,968,544,674,326,003,076,182,438,955,836,196,557,785,874,875,101,
038,243,231,061,347,644,636,051,759,173,400,294,526,279,871,486,216,126,489,
437,152,080,783,903,734,194,260,827,687,393,516,539,478,430,007,646,764,346,
018,813,563,994,496,075,449,375,053,667,377,352,700,867,608,737,272,653,064,
829,306,108,468,653,531,506,066,240,243,372,657,812,938,556,929,537,091,264,
400,000,160,612,924,658,716,661,423,057,110,124,846,337,188,928,594,409,157,
020,561,920,606,134,940,244,809,229,473,040,516,684,645,878,766,006,783,939,
784,578,803,667,428,873,636,916,996,894,948,788,684,178,094,190,346,617,011,
590,617,961,104,352,416,231,643,574,854,387,419,046,173,018,835,851,821,167,
264,802,911,403,750,404,125,597,303,236,387,504,179,592,972,869,197,334,285,
039,827,694,859,100,504,832,004,778,635,748,564,435,212,015,401,436,419,305,
978,480,921,919,049,204,049,925,981,400,522,864,212,726,096,325,220,974,922,
075,405,682,325,062,970,243,057,830,342,142,580,945,940,689,556,976,565,152,
056,944,221,854,009,509,807,107,708,314,642,124,156,264,666,483,086,496,344,
028,559,550,642,547,550,444,783,495,922,109,647,117,552,313,756,753,014,385,
603,737,275,919,749,632,402,080,064,533,007,800,650,072,725,806,650,128,432,
737,186,346,995,919,193,456,091,004,018,640,414,528,377,496,096,938,184,604,
626,324,989,471,898,406,703,468,621,915,260,160,412,112,203,395,476,059,166,
272,130,159,029,470,022,173,664,315,118,384,421,323,250,894,659,270,856,184,
388,100,162,632,209,763,620,548,332,104,800,281,149,232,073,778,048,637,879,
271,661,032,728,593,833,153,768,806,456,020,069,060,576,887,515,883,447,468,
451,422,433,245,493,847,501,983,618,404,923,940,917,558,092,006,470,711,070,
690,992,985,406,076,949,958,233,872,010,078,880,523,508,810,999,325,578,661,
108,704,819,164,373,075,296,909,107,544,719,592,640,904,742,885,707,796,131,
548,984,149,236,782,454,904,425,908,496,917,575,635,358,169,990,378,416,126,
492,045,006,801,726,935,019,694,017,056,337,137,010,189,638,658,976,838,803,
547,814,026,795,565,064,146,782,861,645,862,910,868,564,471,879,594,492,335,
018,435,067,156,342,989,577,761,787,242,996,074,768,762,459,755,609,907,603,
267,547,302,967,783,201,151,627,552,653,167,823,709,648,661,983,957,668,171,
973,172,516,411,154,946,203,989,146,755,670,552,456,803,513,335,609,999,326,
608,749,740,801,750,170,717,861,734,137,917,740,895,216,419,746,128,540,058,
497,186,910,050,095,512,657,794,938,362,866,143,172,322,546,743,913,813,153,
224,973,060,995,317,473,708,317,811,676,072,478,357,494,354,529,552,469,313,
244,575,146,369,153,801,858,286,631,437,370,292,068,397,495,699,378,150,084,
523,012,490,359,431,675,693,910,117,992,884,339,498,371,779,866,332,706,297,
286,824,695,962,973,189,919,866,329,750,588,926,660,731,393,195,929,867,663,
043,815,758,993,806,368,348,369,737,020,363,948,317,830,336,721,828,239,836,
324,527,880,246,563,530,568,882,866,808,517,548,829,071,570,195,555,292,676,
335,983,722,566,401,165,950,820,384,841,686,464,488,018,387,092,231,849,618,
345,056,032,506,150,878,682,731,698,833,387,146,627,923,834,263,966,691,173,
474,807,088,824,689,182,864,598,076,629,391,648,468,514,600,097,484,656,001,
892,311,171,437,755,926,635,139,668,717,214,087,714,453,030,884,520,145,098,
490,780,576,848,889,442,710,474,617,759,930,502,182,537,904,022,668,659,724,
153,716,325,220,516,847,399,029,168,978,143,142,688,923,284,481,533,465,643,
698,768,396,693,122,531,242,731,716,559,378,597,975,111,186,341,679,273,354,
822,644,124,065,640,235,974,690,654,815,979,516,863,380,913,923,265,760,756,
892,226,627,719,255,685,919,155,232,634,362,416,618,281,332,322,908,406,053,
612,183,609,357,940,286,719,590,467,185,352,773,752,327,865,333,794,152,910,
971,366,501,367,117,288,491,981,844,898,341,174,424,275,907,193,341,212,332,
681,238,348,122,727,462,921,997,823,211,739,496,617,334,673,465,413,280,529,
465,488,255,499,928,760,085,934,938,219,179,038,009,004,413,593,554,464,632,
902,785,757,894,368,242,451,917,629,502,794,424,540,319,257,650,055,368,923,
148,403,759,878,531,875,158,205,214,428,317,326,187,378,162,018,430,415,529,
373,482,431,175,367,174,143,985,544,819,039,129,104,674,388,716,930,104,443,
246,657,417,856,013,698,471,688,838,730,146,396,119,966,222,375,280,899,751,
720,480,427,713,691,333,119,257,650,209,893,798,811,566,524,800,831,622,687,
020,150,342,379,582,578,010,461,034,930,512,952,825,895,371,527,544,938,232,
745,787,098,120,665,828,474,748,019,575,289,003,568,716,050,246,981,842,415,
496,085,685,707,901,531,937,570,836,751,855,710,363,506,835,274,320,540,317,
417,861,413,638,709,776,716,136,423,857,442,285,568,122,870,526,824,877,735,
479,055,919,429,678,427,373,928,578,758,762,075,953,462,709,837,574,359,653,
542,392,240,046,112,924,894,000,998,642,082,546,016,237,172,115,804,054,370,
874,890,517,764,145,211,296,957,188,044,687,877,434,604,439,155,968,125,010,
546,009,231,980,464,819,503,343,305,547,648,160,322,730,463,040,003,474,474,
138,574,236,398,463,199,928,450,798,931,112,429,021,634,076,261,972,565,975,
357,380,253,529,273,710,619,687,585,658,698,225,528,983,873,946,511,274,652,
631,500,255,407,312,091,739,136,587,856,057,593,148,693,719,952,210,194,898,
091,917,173,329,764,034,356,695,367,702,679,762,599,107,413,864,468,172,416,
763,694,005,125,028,940,524,264,378,311,644,993,544,193,646,420,195,200,925,
353,843,040,509,118,494,625,501,324,179,192,668,928,702,752,389,032,130,415,
935,211,898,039,777,866,508,122,592,743,600,510,111,042,141,168,579,276,884,
398,131,616,660,667,756,835,734,723,775,397,509,334,092,486,434,265,818,255,
562,554,782,976,612,126,722,910,127,334,439,080,270,529,598,840,400,491,749,
840,623,443,703,301,879,315,186,332,662,815,701,848,122,290,018,602,848,515,
937,284,348,195,354,039,166,189,837,918,896,961,472,471,791,841,868,445,566,
990,791,462,938,357,961,870,042,640,549,011,376,882,491,251,395,294,340,938,
159,978,036,224,654,471,714,497,901,751,408,827,935,513,010,750,166,668,851,
079,971,690,582,288,311,958,290,985,197,880,484,966,011,978,897,290,289,831,
078,299,578,680,529,632,252,855,786,779,674,118,969,230,871,642,107,150,565,
584,246,569,487,235,845,424,020,239,498,492,181,412,087,082,573,536,616,714,
287,075,121,355,829,966,353,061,721,427,469,526,716,344,785,691,558,060,754,
212,170,056,585,038,567,312,327,312,206,964,733,002,097,154,771,730,357,888,
744,861,997,850,907,116,871,270,432,046,306,707,849,097,361,634,670,963,409,
740,475,026,945,859,511,874,089,558,601,338,773,093,746,640,562,923,465,152,
529,914,665,373,540,413,805,027,386,274,279,097,418,001,308,652,233,436,491,
434,260,230,108,102,766,652,676,029,467,750,166,652,329,064,938,592,092,677,
094,639,359,945,350,627,595,247,720,870,076,563,895,719,598,046,976,520,931,
284,408,890,862,712,061,324,644,972,239,987,193,219,257,293,465,834,731,956,
055,626,396,295,932,544,518,230,938,665,156,959,870,837,527,535,459,331,836,
116,819,831,378,469,380,106,822,133,768,516,438,563,689,526,236,344,477,646,
904,724,660,406,707,230,080,333,921,689,422,560,081,839,604,675,240,362,206,
289,317,471,782,763,773,812,206,890,940,279,201,222,764,636,346,102,876,494,
320,248,437,802,459,644,632,273,982,216,063,385,537,322,905,686,460,055,926,
531,489,157,118,870,575,586,998,292,197,289,189,435,196,061,234,232,374,755,
196,190,062,834,000,326,573,758,058,401,954,657,306,018,010,697,481,835,993,
627,419,336,797,980,463,207,296,271,253,489,805,934,833,359,969,075,789,795,
343,071,707,058,580,652,420,924,991,348,626,279,890,553,912,498,543,622,457,
928,480,226,789,688,792,047,022,284,721,609,393,266,793,890,417,800,842,024,
480,562,293,695,327,711,258,701,825,357,995,714,459,972,264,679,273,416,775,
207,833,618,710,847,678,221,088,169,094,284,595,708,472,691,546,551,555,935,
843,489,102,592,464,049,304,155,452,547,945,418,600,970,790,915,788,467,715,
446,963,187,979,027,583,760,586,721,813,111,256,351,653,509,091,489,553,733,
446,273,379,919,822,231,131,934,779,583,665,404,339,069,275,577,417,024,866,
097,901,690,195,308,722,431,383,691,170,204,501,265,507,849,829,279,412,372,
814,189,029,220,449,814,702,678,412,796,294,965,176,040,990,815,419,429,468,
228,069,231,494,138,725,201,561,648,554,934,320,071,950,797,955,241,958,188,
877,387,158,109,542,757,393,668,242,761,159,724,662,334,381,019,379,629,070,
969,607,556,676,126,971,582,865,661,390,978,500,901,330,968,586,426,297,666,
670,681,340,285,886,420,672,788,449,151,960,582,065,058,010,548,502,320,020,
291,414,529,950,885,988,335,171,099,262,237,163,375,820,996,469,969,189,660,
116,035,478,606,339,762,491,914,860,853,085,018,488,022,954,920,443,308,270,
207,870,785,924,700,365,867,603,224,178,076,120,819,223,895,614,164,119,175,
672,877,019,573,275,720,818,433,630,395,302,719,849,153,363,193,492,377,594,
387,261,177,879,173,976,993,407,737,285,902,267,761,804,500,155,424,596,006,
969,251,286,828,890,473,434,326,759,429,078,552,505,691,430,772,526,670,018,
001,700,496,237,197,419,855,410,613,927,191,825,636,953,327,925,478,565,495,
933,049,186,614,314,568,572,101,183,380,575,955,225,322,649,170,415,356,578,
171,738,102,303,558,363,949,157,708,470,702,759,597,616,514,385,912,642,727,
562,523,482,459,054,711,203,962,321,110,885,172,591,556,501,188,145,712,446,
532,480,565,495,213,343,045,216,527,844,366,783,817,268,708,548,085,698,470,
577,478,566,814,037,507,322,321,814,605,345,759,170,454,462,803,289,759,653,
335,544,082,758,660,923,007,352,332,586,564,469,562,946,236,184,547,242,341,
560,283,704,014,670,056,768,224,203,740,588,323,351,264,172,513,945,732,378,
566,222,249,774,606,768,038,334,183,522,820,571,352,401,017,213,677,080,004,
070,555,583,263,654,264,084,900,569,429,877,490,782,435,463,906,213,664,326,
994,060,822,992,174,250,429,493,063,360,396,030,183,093,937,542,850,889,228,
988,937,183,741,431,542,644,411,430,581,292,218,445,210,870,348,646,890,489,
408,446,922,325,164,723,882,584,565,973,046,745,469,883,511,880,340,105,714,
397,311,614,027,801,197,358,966,433,746,814,065,836,604,902,455,794,461,623,
148,282,014,263,623,354,626,087,049,075,613,032,300,897,736,935,579,208,733,
644,506,742,437,283,093,252,383,055,101,179,143,065,437,469,576,016,999,850,
141,266,475,643,371,634,255,888,534,923,796,743,773,466,932,255,899,335,704,
341,827,442,698,931,078,478,350,565,909,217,751,010,813,484,598,585,293,641,
976,362,259,734,022,525,956,829,237,501,321,469,858,304,170,100,961,466,928,
486,360,447,586,613,120,899,730,349,970,548,073,944,552,047,606,726,943,853,
572,800,552,433,012,505,159,811,021,340,229,125,980,266,882,518,407,243,646,
922,347,311,463,644,619,731,589,003,735,593,236,764,660,517,789,569,378,505,
312,304,094,639,262,867,838,647,117,096,676,936,158,252,540,333,294,057,360,
119,443,410,304,875,620,691,550,751,689,061,485,483,813,379,139,214,484,006,
784,162,475,774,563,181,130,287,240,463,934,296,246,100,192,460,978,760,924,
854,372,831,357,619,740,171,186,826,806,047,523,534,457,111,102,648,580,261,
332,106,169,474,599,887,352,561,740,771,990,479,522,277,198,886,748,163,828,
308,347,855,958,658,904,516,164,024,723,633,502,099,584,473,460,064,466,800,
430,056,500,024,764,949,942,566,361,904,893,523,291,573,917,659,064,814,793,
164,130,130,818,467,193,388,084,924,717,191,095,447,327,792,659,063,789,557,
840,635,076,919,496,381,361,645,826,991,108,002,897,999,555,173,878,828,206,
550,236,018,648,794,162,107,117,807,381,595,712,874,209,391,315,216,873,871,
868,762,683,436,896,061,924,760,221,668,785,495,892,199,320,034,776,034,308,
074,000,264,310,716,066,178,329,627,669,051,041,543,721,957,396,774,265,537,
595,531,141,630,055,497,894,895,384,014,635,283,473,576,900,575,093,365,720,
853,706,355,392,609,418,276,729,214,336,227,203,353,852,105,195,636,222,288,
474,950,295,716,084,030,000,006,079,852,161,154,767,108,720,358,072,007,117,
388,134,147,906,527,902,840,161,738,488,862,731,352,452,553,563,688,132,782,
505,746,469,954,453,661,764,580,526,949,102,768,457,188,309,088,859,502,634,
419,749,646,803,227,686,319,909,992,099,828,665,571,038,910,356,012,026,485,
513,248,928,836,869,258,123,366,337,934,590,979,515,312,605,643,331,947,626,
877,402,793,463,226,170,509,743,752,840,079,380,273,767,293,150,829,933,980,
894,807,567,736,893,034,924,599,653,421,502,001,731,567,020,167,370,513,331,
549,023,820,738,983,669,397,001,331,516,285,421,772,722,973,373,896,475,359,
431,922,458,323,311,319,582,168,955,998,703,685,295,097,256,432,200,074,301,
853,129,219,964,416,021,640,807,493,461,506,176,352,744,823,910,933,669,599,
078,700,293,213,759,560,108,216,128,830,239,029,826,315,247,417,824,861,075,
415,139,158,286,284,679,495,903,050,217,756,291,987,484,277,097,253,709,286,
437,338,985,225,479,225,446,266,933,653,549,635,645,956,362,026,039,070,397,
060,542,018,285,101,580,090,305,453,944,724,313,701,631,496,812,048,077,840,
002,788,607,500,508,291,031,221,182,944,181,670,051,446,902,459,381,871,923,
835,554,913,967,981,033,136,872,669,298,892,707,875,852,545,425,539,289,863,
720,308,318,580,314,953,817,467,719,467,146,256,893,219,567,203,358,409,055,
942,338,987,345,309,567,793,319,306,714,501,194,693,973,487,057,967,000,536,
421,916,248,012,499,461,321,032,254,074,846,194,428,338,848,043,664,652,977,
122,805,100,020,208,495,959,219,020,869,573,489,028,132,871,095,238,854,112,
047,749,949,841,695,570,518,486,811,589,913,957,836,553,942,711,131,898,289,
241,201,590,896,748,351,244,485,178,864,473,693,246,399,189,827,318,426,583,
295,018,950,283,412,901,420,937,782,593,814,814,514,759,486,617,724,844,740,
881,045,046,474,258,073,606,991,983,464,120,553,912,722,520,864,528,843,121,
434,876,929,240,199,365,777,511,156,178,756,044,070,123,084,089,509,151,836,
619,456,480,708,212,231,296,394,522,775,086,162,424,256,524,917,023,258,865,
140,910,139,597,127,417,380,200,011,505,129,331,708,606,466,618,101,126,095,
643,326,720,383,012,720,944,190,038,628,526,153,636,704,761,573,222,719,208,
192,324,707,053,559,446,484,314,254,403,612,381,881,853,543,338,296,342,934,
751,143,995,685,554,163,857,980,767,259,209,609,157,080,470,824,098,161,714,
081,645,071,011,889,955,618,814,493,734,837,929,636,615,312,204,067,687,155,
778,521,790,810,833,250,442,664,554,717,268,877,927,272,395,301,830,555,349,
631,712,598,012,761,392,073,828,355,474,539,418,104,241,550,781,194,996,763,
732,162,006,780,688,405,756,561,705,781,762,558,255,483,163,869,078,906,110,
241,618,577,488,138,945,623,764,452,902,567,751,106,875,550,115,136,629,657,
508,936,068,966,318,943,362,549,174,230,569,599,919,173,549,329,912,806,446,
105,833,903,183,413,589,271,291,703,263,091,528,930,950,679,882,714,756,834,
335,473,615,641,475,498,668,725,334,620,194,730,445,155,058,911,161,731,496,
618,994,005,667,838,879,113,914,836,171,904,451,886,708,153,072,158,176,279,
708,943,405,062,562,681,582,373,703,910,408,377,655,967,288,244,008,220,893,
267,163,770,922,127,443,415,798,582,850,290,382,734,525,135,436,928,163,628,
885,908,640,229,919,697,838,608,021,278,144,451,135,139,398,506,161,853,729,
610,997,441,402,275,151,548,462,350,720,044,541,835,113,754,312,436,641,049,
117,910,549,977,227,549,903,024,363,493,173,342,932,120,198,279,660,997,140,
999,825,232,843,043,946,853,176,684,661,208,258,579,584,158,281,366,175,122,
757,393,793,363,307,556,787,064,749,828,549,717,915,500,985,566,789,521,858,
516,697,520,472,982,826,853,875,554,074,141,193,410,970,074,281,379,745,975,
862,592,143,596,579,506,518,776,865,789,217,481,106,369,284,184,630,487,105,
030,938,301,656,755,314,633,146,267,942,524,101,431,348,066,984,256,281,769,
122,770,669,594,459,290,049,526,094,098,190,906,266,281,901,244,147,307,170,
679,772,590,973,089,075,637,260,966,303,163,291,961,681,442,802,239,192,307,
787,968,980,138,529,086,037,042,547,937,834,569,306,510,786,232,896,607,011,
988,463,079,301,135,805,163,125,870,334,633,718,318,668,347,978,658,828,639,
707,327,938,534,965,564,025,850,464,546,407,166,851,015,065,482,775,169,669,
858,496,690,516,599,541,362,063,010,900,398,362,726,983,031,746,998,488,357,
601,405,001,217,787,511,524,481,866,291,615,985,041,458,542,465,564,797,610,
246,297,350,877,325,370,493,926,169,221,728,103,074,827,768,074,355,023,870,
594,876,792,247,803,946,829,235,500,901,255,650,905,657,574,581,081,239,032,
500,213,695,317,375,252,375,979,305,937,299,730,876,279,312,114,986,355,811,
239,805,051,798,227,011,113,044,724,501,599,807,040,331,132,983,696,579,951,
242,234,270,505,668,359,269,712,369,938,730,986,747,300,378,167,877,044,556,
680,326,402,047,155,334,399,897,623,711,881,974,279,354,373,350,975,059,211,
370,100,545,094,235,091,353,569,626,474,643,980,036,851,737,434,227,987,021,
949,193,488,081,028,979,194,125,982,646,578,025,715,197,262,218,356,321,214,
658,622,604,068,699,203,951,161,433,813,485,357,027,349,329,746,641,282,715,
696,612,828,741,738,883,714,736,788,736,239,212,285,483,713,276,472,514,411,
020,643,215,277,550,940,762,045,201,986,659,624,582,368,911,225,643,136,252,
619,209,161,901,330,023,845,283,383,681,796,260,183,430,540,450,419,751,242,
414,509,812,673,594,027,689,670,248,824,459,021,022,182,500,997,184,774,929,
148,239,314,432,288,228,002,037,778,203,085,509,130,415,320,292,297,910,091,
188,939,256,200,020,827,387,243,289,503,707,471,149,885,600,201,636,452,987,
996,803,828,325,791,246,709,358,021,402,538,129,166,223,604,455,918,970,464,
590,811,222,949,338,187,747,487,545,736,461,343,300,054,840,764,762,439,224,
852,095,867,881,322,783,937,423,659,354,495,040,171,608,266,751,832,363,490,
166,861,495,662,099,702,540,539,297,033,905,294,313,962,855,126,551,741,001,
855,470,670,726,947,968,191,383,480,395,400,737,882,480,091,504,727,390,205,
887,503,491,278,327,537,035,963,081,145,604,621,335,960,312,899,423,045,579,
966,162,995,959,887,368,792,822,995,382,363,703,335,485,486,838,534,115,294,
734,753,834,824,941,636,489,091,027,268,049,151,973,464,241,895,609,910,493,
086,781,260,299,924,098,652,916,709,917,950,348,837,766,241,483,784,915,859,
344,353,828,408,853,768,471,125,656,664,650,197,430,751,117,015,116,017,306,
615,699,677,030,616,405,552,335,851,975,802,475,952,365,255,142,349,637,195,
632,179,532,422,317,676,571,233,289,652,844,214,875,331,075,911,759,316,228,
436,489,738,733,600,102,182,381,930,087,794,769,927,878,143,214,207,439,007,
885,603,987,533,743,260,495,261,925,645,713,835,016,560,549,724,308,165,925,
175,673,080,362,310,736,345,079,296,002,573,320,442,221,738,242,763,473,550,
746,060,943,831,190,148,198,502,888,537,275,455,034,783,074,980,494,919,218,
577,955,663,354,375,919,158,700,336,533,981,746,073,070,723,445,094,638,142,
474,371,252,623,641,988,956,812,494,158,095,598,821,803,012,628,803,653,524,
858,223,118,301,862,426,280,983,128,610,373,042,404,734,564,905,092,910,489,
940,915,871,764,407,588,358,051,533,785,655,023,578,222,960,503,769,373,885,
484,806,877,041,860,527,290,326,123,557,981,575,659,257,568,925,739,384,301,
919,358,843,888,420,748,667,443,003,878,000,465,246,735,511,564,708,401,244,
334,578,005,129,070,341,551,034,135,717,336,811,698,501,381,187,489,063,387,
838,429,052,029,673,412,739,320,098,918,754,195,590,414,863,497,939,356,252,
058,272,244,513,286,496,636,926,499,917,947,468,741,333,466,710,649,090,708,
289,338,197,305,505,681,185,758,161,959,692,083,929,560,291,290,329,931,469,
864,071,787,918,338,157,949,993,463,740,254,009,875,809,689,317,897,350,106,
812,824,777,524,095,900,492,862,089,063,593,585,376,466,989,802,233,161,346,
740,890,691,857,727,386,827,008,138,870,550,302,772,040,785,537,771,401,911,
617,300,808,669,303,241,137,428,963,131,197,888,293,190,686,076,214,381,926,
388,804,052,230,788,857,467,853,879,199,379,041,745,879,520,567,781,275,708,
417,766,831,961,938,409,893,268,984,129,249,496,312,947,363,778,700,536,698,
961,459,810,297,294,623,850,059,592,085,832,692,223,306,225,917,210,456,740,
297,653,043,376,424,282,462,448,839,717,841,662,709,455,822,056,200,988,801,
731,199,431,071,543,033,614,901,287,414,854,950,027,230,876,053,458,883,496,
403,344,664,657,938,676,259,702,903,776,509,326,688,751,223,573,013,038,463,
855,584,727,211,853,963,644,115,717,716,917,275,120,250,630,780,850,240,781,
034,668,649,219,698,927,309,660,937,480,186,294,884,458,785,957,554,643,532,
643,135,529,451,008,571,172,765,594,684,474,528,541,249,961,562,259,279,842,
636,956,823,454,127,945,723,372,301,769,630,067,035,151,355,066,697,614,655,
280,483,081,545,763,298,708,240,778,086,118,659,108,304,349,628,042,315,220,
038,849,426,622,597,422,407,080,038,334,909,649,137,720,989,825,095,137,929,
134,612,861,419,387,767,900,194,183,257,764,911,209,140,580,802,372,367,628,
594,546,762,265,844,464,289,125,591,519,834,638,486,692,519,866,563,546,236,
529,191,027,487,426,844,897,091,900,388,411,795,702,135,386,408,271,181,297,
358,892,412,685,487,825,135,882,693,865,863,816,873,779,574,966,764,099,883,
751,218,663,986,393,767,475,412,943,041,713,070,255,858,659,723,469,002,314,
559,206,294,028,762,412,665,380,661,990,296,938,099,683,887,533,995,987,520,
130,835,920,806,314,696,564,261,307,580,086,965,456,096,291,092,095,193,611,
347,610,290,451,890,426,010,095,584,377,864,315,401,218,439,391,835,806,581,
331,233,683,445,204,852,300,324,901,848,221,781,632,182,615,908,339,250,485,
886,624,236,932,623,703,815,938,923,839,732,860,542,146,917,260,471,864,970,
185,779,914,249,613,888,525,197,724,671,666,659,607,580,682,355,381,816,759,
988,718,606,844,826,213,852,089,913,851,181,273,538,585,661,446,843,713,375,
408,010,467,998,116,315,993,111,478,264,337,871,759,584,383,350,605,605,082,
739,571,697,543,485,729,272,459,095,405,238,038,169,519,628,898,829,640,395,
694,359,974,751,631,588,524,364,387,757,036,522,250,319,268,246,691,257,797,
321,399,394,383,267,898,530,057,877,836,685,218,396,227,597,801,847,733,727,
494,303,323,473,830,084,731,745,319,063,052,437,287,147,095,675,971,302,793,
375,004,887,174,752,648,108,460,954,156,705,386,031,180,816,388,925,710,289,
857,901,998,032,927,658,413,361,337,493,824,286,117,172,904,224,969,265,647,
352,639,803,763,378,846,812,849,162,543,250,056,228,841,228,276,178,081,254,
776,858,474,165,416,688,494,371,416,413,355,827,875,268,074,129,540,205,949,
353,504,819,648,485,002,801,093,004,136,689,895,720,683,895,691,014,715,987,
323,549,220,097,056,390,990,861,192,222,833,994,190,963,846,859,842,988,505,
854,690,327,585,484,922,608,000,686,944,576,773,094,442,867,131,964,586,042,
387,433,132,544,758,167,705,579,204,034,899,983,133,844,603,338,185,747,477,
636,356,860,771,240,893,280,472,023,123,956,510,860,244,533,256,980,298,212,
177,689,498,245,969,140,609,923,373,493,498,705,092,858,422,071,135,567,751,
110,454,059,601,636,502,219,879,886,739,943,830,454,760,662,243,641,548,464,
132,708,254,560,371,883,300,762,594,268,968,970,154,713,354,481,745,868,840,
237,683,065,769,427,246,397,546,610,683,212,009,267,021,264,280,582,699,207,
444,950,127,557,332,286,473,726,324,555,619,269,058,125,040,134,201,448,079,
728,144,647,552,381,521,608,705,045,927,310,984,929,641,376,355,712,544,247,
728,677,296,425,568,505,432,572,100,948,289,032,613,472,554,089,937,275,512,
454,307,209,878,988,768,714,276,875,813,421,369,019,806,203,355,250,208,749,
356,203,498,370,472,883,703,052,139,424,867,364,903,825,335,801,567,282,595,
356,295,752,291,363,106,277,719,575,293,191,004,455,843,124,068,362,076,628,
120,578,020,558,639,036,216,733,115,599,069,991,071,899,421,692,022,935,718,
095,333,859,175,686,733,465,900,356,546,359,397,290,427,289,412,154,586,144,
678,273,484,355,216,968,865,300,881,329,168,477,163,846,678,960,641,419,483,
141,415,046,090,208,487,282,495,147,357,940,305,467,967,291,545,606,682,726,
380,428,984,462,619,272,566,664,774,608,057,964,579,590,381,580,870,797,420,
512,619,249,024,357,910,986,521,225,198,526,868,087,676,860,310,271,237,311,
266,066,677,680,692,537,122,575,394,426,306,855,088,817,146,123,693,239,186,
082,755,221,407,796,101,460,484,872,236,384,002,993,893,030,740,220,902,601,
733,337,414,527,525,890,378,179,914,552,909,273,269,993,448,368,528,109,080,
841,960,818,870,379,926,032,317,232,159,202,889,204,164,281,513,761,965,894,
966,838,030,032,322,683,182,698,969,822,969,278,754,615,363,794,697,379,069,
144,458,792,348,751,092,579,747,784,675,343,725,860,019,427,544,810,474,903,
844,126,047,709,923,610,385,615,555,926,520,473,920,807,612,087,917,654,667,
757,917,230,878,296,816,742,918,302,252,206,307,691,946,647,214,465,556,951,
583,164,518,480,903,679,080,655,311,973,238,485,460,099,643,583,167,730,653,
545,745,245,180,376,086,818,230,920,586,792,814,428,096,202,815,516,867,793,
900,777,332,546,232,229,834,903,441,467,466,389,634,305,393,792,374,711,363,
999,295,290,386,790,827,938,122,598,193,627,290,979,370,255,671,215,945,046,
427,615,684,289,773,595,618,191,518,919,050,552,274,366,292,204,874,622,715,
871,860,601,115,197,950,871,152,080,605,254,236,004,810,013,052,533,094,287,
412,665,499,592,801,974,445,380,282,642,079,206,291,788,944,617,654,587,298,
527,069,301,968,246,883,320,592,272,401,622,092,956,955,540,026,262,632,238,
916,295,710,061,482,735,424,032,243,569,957,199,448,396,958,964,267,610,374,
329,473,854,216,951,170,663,033,997,290,118,890,755,184,855,633,588,004,657,
161,758,530,146,692,874,478,975,710,444,665,548,573,361,659,682,793,575,637,
918,832,154,665,504,946,736,013,049,818,533,685,421,866,363,330,289,580,118,
468,770,981,501,553,272,103,692,755,607,324,612,392,896,588,250,468,097,677,
797,252,015,323,595,132,644,624,117,598,850,246,071,937,841,652,094,095,463,
581,646,808,323,502,558,856,707,801,006,030,221,186,381,947,856,862,932,580,
554,806,261,333,967,785,184,232,431,753,793,856,864,356,678,184,914,860,681,
894,163,151,151,011,858,577,694,190,383,117,189,887,228,722,161,030,638,011,
629,842,124,785,249,580,284,825,117,745,437,321,409,139,064,970,767,449,500,
105,742,237,659,764,431,569,038,197,077,095,688,749,063,109,605,432,713,810,
877,434,498,870,438,640,230,485,197,059,774,746,194,172,871,817,637,726,736,
561,257,496,704,720,115,808,968,587,248,642,675,454,747,290,098,150,012,637,
933,224,465,144,933,758,377,996,985,520,896,837,828,928,431,067,966,774,168,
579,481,130,325,099,441,934,099,694,844,353,860,503,385,863,406,862,048,727,
894,384,555,635,658,530,553,278,678,326,621,105,105,432,846,169,370,181,026,
421,490,041,546,924,252,294,180,629,643,391,823,010,344,743,580,445,263,506,
236,950,104,598,262,686,523,687,241,993,636,822,350,143,671,530,169,683,771,
018,795,943,599,988,907,632,847,429,579,986,355,380,860,851,985,341,288,205,
434,031,922,576,986,144,299,253,743,260,795,198,405,593,211,968,463,793,552,
397,939,702,261,057,775,261,565,196,304,107,501,968,867,687,104,640,351,308,
561,710,551,587,914,614,235,917,221,301,078,566,123,074,828,303,691,606,199,
468,881,756,915,127,900,666,656,086,256,727,609,232,038,520,335,368,054,682,
015,526,642,384,249,979,407,501,028,552,915,272,304,867,154,955,052,363,348,
775,053,711,536,578,266,208,715,820,744,934,251,524,050,221,592,555,161,270,
992,480,600,080,761,558,978,269,861,229,056,046,303,747,259,154,967,098,157,
440,836,625,757,182,789,314,836,794,768,066,280,740,617,521,469,512,327,184,
443,688,408,429,321,979,772,799,602,838,578,590,088,742,104,135,218,763,647,
780,963,664,355,072,843,723,946,875,248,354,332,689,567,844,649,586,820,099,
412,728,987,585,440,103,318,817,209,594,573,129,410,268,635,627,242,135,725,
704,541,264,516,680,268,265,094,457,076,636,631,415,922,711,121,707,603,190,
083,167,798,652,761,584,773,660,205,443,216,279,965,107,116,986,105,108,487,
399,020,172,938,731,883,117,402,505,504,113,580,880,109,781,532,849,978,436,
463,760,052,687,325,389,586,438,536,317,034,739,031,255,730,390,193,306,106,
534,904,002,927,766,709,843,711,614,870,752,766,117,665,139,950,703,471,291,
167,126,837,880,530,571,477,937,429,682,775,744,870,420,737,459,469,085,016,
564,145,435,821,843,317,651,449,329,561,543,146,554,615,898,911,168,092,295,
993,665,961,500,915,425,997,129,988,420,746,034,044,951,652,934,174,555,883,
246,701,617,916,824,529,096,829,397,721,294,427,905,750,479,415,923,700,968,
414,822,471,736,788,162,450,403,626,006,136,072,533,190,347,666,598,710,665,
030,746,933,486,484,752,416,621,439,121,618,944,023,901,032,164,199,230,457,
418,044,465,334,328,799,122,916,583,019,616,355,464,479,360,985,158,182,183,
395,361,391,332,715,980,795,517,733,575,253,339,347,749,844,954,572,021,224,
673,568,893,231,752,413,790,920,132,802,179,945,098,824,002,309,287,356,274,
319,022,267,170,928,546,214,240,367,798,942,738,598,613,715,713,271,067,087,
180,851,071,130,133,640,107,782,537,921,037,704,423,833,178,200,958,544,920,
844,023,708,725,038,786,064,904,074,521,065,398,347,032,737,180,179,103,157,
380,310,371,732,081,165,384,562,470,231,562,556,701,841,861,817,195,463,131,
230,471,387,860,332,367,169,478,010,501,926,747,360,830,235,637,826,268,869,
238,480,485,561,080,757,597,935,764,548,116,057,537,669,692,421,499,491,317,
828,146,810,377,755,713,142,856,192,410,491,904,835,355,209,718,599,466,746,
041,768,319,190,877,829,917,401,696,658,104,792,076,780,893,988,980,378,190,
400,496,546,365,029,408,055,210,003,334,475,443,496,407,439,828,176,119,973,
789,203,513,115,430,071,235,157,422,579,167,929,007,728,442,950,263,911,377,
961,881,931,256,581,324,449,680,130,382,693,934,044,063,762,147,696,562,286,
681,134,750,498,809,696,191,773,278,398,503,335,847,434,563,333,826,375,295,
024,706,285,760,543,569,137,312,696,272,204,265,457,468,947,694,143,806,588,
515,520,970,292,239,484,087,926,753,930,062,646,409,271,464,460,146,486,083,
958,462,064,941,847,997,605,482,588,489,762,619,727,719,563,261,329,506,809,
193,845,671,378,232,206,736,266,742,687,995,151,802,708,223,665,938,211,400,
944,776,675,613,845,135,328,602,202,653,257,688,150,521,433,217,673,575,948,
625,491,292,288,615,479,697,600,948,858,442,463,547,135,361,012,006,106,825,
337,635,027,733,094,096,447,098,091,418,706,238,970,362,012,577,250,689,257,
078,500,379,558,396,778,650,614,861,463,835,630,627,037,795,574,059,917,976,
937,973,441,152,928,703,594,970,464,780,413,082,609,153,104,883,423,558,206,
254,318,352,748,396,188,615,945,878,289,854,295,063,449,656,113,946,459,202,
285,202,388,199,050,238,241,177,048,727,533,101,132,239,415,752,950,323,384,
077,563,941,287,225,625,447,302,658,505,373,662,593,750,648,137,898,303,208,
730,402,597,978,126,953,003,429,311,037,055,851,723,302,274,740,538,418,211,
094,973,449,304,116,849,768,715,620,706,107,107,320,078,861,239,383,136,208,
611,107,101,090,433,142,391,264,161,108,669,033,307,797,602,362,846,573,558,
688,357,229,921,443,847,291,618,642,263,931,503,678,820,680,490,119,394,003,
013,083,363,533,008,933,596,669,184,183,031,928,001,588,852,725,975,543,344,
030,786,469,195,237,912,894,719,504,881,500,001,970,807,108,744,496,398,488,
488,952,859,149,043,292,564,841,424,675,417,355,333,091,969,925,855,255,240,
581,635,225,728,654,764,571,010,540,950,815,458,692,198,647,351,439,536,845,
517,791,986,821,908,698,391,464,875,178,969,361,568,230,792,761,375,377,762,
060,407,387,962,208,786,972,585,327,848,941,004,163,903,634,198,914,809,715,
828,831,932,957,607,821,211,914,747,815,094,046,150,511,105,546,619,905,016,
514,285,627,892,711,209,198,571,688,471,373,683,120,572,144,692,517,822,660,
970,527,839,311,803,062,021,895,560,024,104,230,348,112,467,561,273,267,467,
435,714,262,979,411,473,379,674,861,583,396,483,918,708,225,282,931,416,157,
078,424,058,987,061,028,446,481,766,106,557,852,230,888,904,051,954,739,419,
419,508,945,833,946,969,559,852,440,340,653,606,337,381,565,173,335,599,739,
343,005,351,888,471,611,363,679,474,718,380,436,164,107,391,307,463,179,834,
345,311,232,847,224,579,194,765,004,015,611,689,553,351,195,347,446,073,285,
732,705,813,477,087,970,293,591,899,433,291,282,036,011,027,478,997,416,020,
785,539,213,237,404,651,363,614,062,074,931,364,005,261,905,199,914,867,122,
016,144,592,595,977,769,118,982,386,113,956,295,910,928,563,209,195,106,783,
103,510,143,924,808,337,794,164,640,097,042,504,095,371,265,124,687,090,592,
538,623,449,452,263,180,181,734,814,748,913,582,109,771,453,150,040,072,814,
791,104,553,740,663,343,114,782,862,640,726,639,398,174,443,339,966,958,379,
574,770,083,122,452,406,902,762,311,565,744,892,829,191,142,810,211,004,994,
900,646,060,004,534,666,827,470,081,932,088,726,402,352,390,002,959,610,460,
987,964,129,193,064,306,520,143,802,356,044,013,388,921,744,997,126,752,665,
077,287,906,801,116,385,834,945,239,498,747,779,076,540,342,742,057,949,222,
158,657,458,231,376,025,099,139,388,631,145,712,404,396,535,413,744,125,417,
678,200,394,577,648,810,437,669,779,629,726,493,350,144,465,114,572,781,087,
052,136,112,172,203,945,945,870,823,682,767,325,950,085,876,772,530,202,945,
284,781,383,864,989,229,680,242,385,612,657,274,534,040,206,937,320,781,372,
586,397,275,942,552,510,204,802,275,037,900,783,880,871,016,816,780,093,032,
412,981,741,799,212,830,487,699,695,480,023,535,017,493,597,398,131,465,293,
077,853,412,166,000,358,362,008,815,202,178,906,152,300,273,438,314,138,305,
246,375,155,920,923,994,922,425,561,585,237,520,798,085,900,325,222,915,173,
416,677,329,861,617,814,962,353,711,219,798,262,215,307,122,779,350,500,219,
648,430,680,408,476,883,164,865,005,548,456,404,009,808,334,851,626,385,697,
389,128,546,864,263,871,487,781,490,900,008,997,419,745,625,192,556,432,052,
616,073,391,306,147,307,762,069,648,642,422,377,481,666,807,967,154,321,800,
369,833,657,865,887,287,471,551,870,592,794,449,628,254,662,449,628,016,843,
105,939,435,077,712,598,769,496,913,067,599,163,311,825,895,923,295,983,520,
109,214,039,825,155,536,481,007,960,310,340,444,544,917,542,559,360,505,581,
131,347,156,536,742,287,796,922,989,458,252,009,531,326,688,368,341,289,715,
550,320,356,890,503,442,653,988,076,623,102,582,626,804,199,140,060,410,735,
647,422,454,389,306,508,729,238,809,640,619,874,107,058,149,874,615,578,994,
303,344,009,200,217,992,400,905,598,867,133,292,752,705,402,681,731,452,193,
914,263,444,769,010,944,491,208,073,176,090,980,508,773,465,245,868,395,782,
708,750,213,136,299,875,062,964,388,108,124,554,994,038,952,091,936,207,207,
224,481,304,645,761,906,435,206,696,055,856,115,077,209,849,655,445,514,319,
549,656,605,798,516,359,029,294,898,239,207,011,888,928,498,668,188,212,347,
500,177,706,516,226,081,419,544,475,339,008,850,762,735,886,293,655,044,033,
545,243,737,247,182,779,378,628,586,573,886,429,159,922,028,229,013,749,818,
548,200,835,353,185,769,128,336,157,018,938,511,224,704,937,032,302,822,595,
820,557,711,992,119,883,879,479,431,638,415,779,181,891,408,557,409,472,574,
350,549,544,249,665,468,281,001,171,588,546,578,542,520,280,174,844,637,796,
107,008,196,592,352,059,007,513,271,944,519,364,936,840,569,673,077,791,397,
267,986,808,728,072,299,835,254,447,714,273,086,537,890,497,423,878,546,534,
280,045,004,582,151,538,330,177,428,767,868,796,863,039,202,488,348,784,088,
973,381,726,286,489,942,423,284,409,560,930,715,244,877,353,225,830,877,736,
402,259,562,851,965,539,043,337,197,498,110,347,988,203,114,607,128,838,670,
430,361,840,194,802,074,860,044,503,192,724,365,881,791,724,851,644,886,367,
422,777,773,796,069,641,074,416,075,342,492,952,094,505,799,495,732,207,847,
234,461,687,370,990,501,468,000,941,185,512,618,055,334,248,049,416,524,000,
325,409,235,267,515,337,192,431,375,483,489,274,860,341,548,365,791,238,330,
092,821,943,456,455,867,178,438,619,628,625,310,293,924,525,487,733,510,245,
241,261,857,035,594,253,763,476,840,807,423,238,541,771,698,834,035,760,986,
864,511,601,889,291,286,147,922,106,630,621,457,832,942,810,759,025,308,906,
381,393,251,502,129,283,242,027,539,596,871,138,023,104,134,487,600,555,410,
006,958,217,852,470,943,195,253,871,610,341,589,968,875,019,501,589,041,268,
650,511,809,583,474,132,921,071,439,356,076,079,174,311,394,659,748,406,610,
470,449,406,500,242,281,325,732,480,130,710,625,811,370,863,731,649,604,831,
591,063,656,483,722,549,683,134,762,130,184,836,841,441,430,250,893,660,938,
900,648,347,913,145,186,210,399,460,661,988,053,850,602,527,897,587,310,199,
093,629,683,420,664,768,456,293,687,297,928,524,671,051,018,329,178,060,932,
533,676,086,020,155,126,954,929,201,197,185,225,235,905,715,461,333,137,035,
212,600,297,149,798,146,681,674,041,113,962,700,172,739,095,095,069,445,189,
085,115,990,840,658,238,957,573,941,581,225,456,796,339,257,985,413,126,521,
325,878,872,159,884,505,362,621,196,411,343,700,023,543,714,985,830,106,612,
623,041,150,822,573,716,234,727,610,282,613,564,598,397,212,602,341,529,895,
136,706,234,672,498,928,072,127,110,825,456,496,991,352,691,138,669,436,566,
394,440,874,820,921,851,462,019,525,315,342,082,123,928,100,240,451,524,868,
452,416,028,809,315,279,052,982,347,712,607,600,066,366,425,860,639,558,146,
726,973,796,385,293,186,766,568,037,296,123,199,340,251,740,397,128,219,720,
148,629,264,208,393,188,275,738,945,693,680,658,298,252,011,506,836,892,107,
827,134,019,559,980,511,876,127,010,848,669,373,996,779,886,466,303,742,270,
883,258,645,496,374,178,922,424,108,021,384,209,992,309,719,324,211,755,788,
419,586,618,045,804,664,113,794,448,194,307,366,157,536,146,989,451,503,057,
824,533,491,905,365,102,225,771,306,289,929,230,908,375,532,829,932,061,911,
405,578,312,832,047,386,328,624,810,426,685,573,565,866,085,122,104,011,294,
986,802,348,742,119,278,784,663,161,049,351,550,803,242,520,265,801,501,773,
373,132,802,675,219,288,142,697,209,589,611,387,879,090,020,780,966,072,545,
129,633,352,234,606,342,543,646,531,671,964,796,018,018,028,117,232,887,938,
621,609,104,037,711,192,101,863,074,323,069,003,486,345,259,436,945,015,659,
182,700,415,269,872,464,422,855,315,017,001,106,816,788,247,785,133,739,779,
151,112,671,540,201,408,322,390,958,548,622,446,317,716,442,854,479,594,631,
090,608,883,886,305,545,571,430,745,770,064,053,320,716,655,520,980,409,382,
768,844,888,800,574,940,148,293,892,218,097,087,526,361,132,315,924,272,420,
570,326,215,988,226,954,961,826,938,643,036,092,472,074,007,842,368,567,888,
707,421,840,000,446,096,418,070,799,262,936,617,723,395,421,895,233,068,269,
368,108,718,133,745,390,372,743,323,895,521,724,463,882,955,870,844,245,078,
404,710,407,684,977,184,606,960,829,391,914,266,065,967,908,979,524,336,996,
163,777,685,127,131,820,078,348,092,375,000,344,778,588,864,538,140,044,451,
747,846,278,151,150,052,927,757,126,326,195,300,790,474,090,458,176,025,237,
572,245,464,767,846,082,759,775,831,678,876,062,770,091,110,717,494,130,849,
786,975,222,366,105,840,402,773,008,223,757,710,107,501,905,987,188,082,231,
458,657,792,687,695,475,192,341,606,856,309,853,973,792,269,478,016,493,325,
592,614,437,458,697,544,275,457,801,511,296,042,690,987,758,665,905,537,785,
365,996,015,960,659,781,006,991,608,759,046,457,113,232,862,152,784,622,628,
372,972,915,018,206,214,819,206,788,246,390,391,182,961,000,556,827,921,443,
474,176,586,259,839,119,730,801,886,770,531,459,580,136,990,701,822,299,356,
506,832,310,262,758,866,139,430,181,075,684,260,413,677,459,250,058,685,211,
468,440,251,019,282,412,425,114,330,831,147,842,048,343,155,170,963,727,148,
796,477,778,940,513,682,430,827,261,572,890,485,328,165,054,862,995,908,086,
658,083,947,514,300,511,189,839,398,394,135,097,681,265,896,114,380,966,875,
884,900,721,524,480,645,181,737,919,571,227,595,246,964,459,342,412,799,074,
421,117,493,862,088,979,023,070,179,357,937,115,157,010,404,699,433,401,005,
043,615,735,595,216,632,886,571,004,724,797,316,589,649,399,682,500,206,141,
655,597,865,896,892,138,542,406,480,240,459,117,501,115,412,451,054,469,948,
896,730,775,097,277,987,673,097,450,927,311,259,400,413,502,818,969,312,187,
233,684,558,531,686,764,283,312,701,958,999,020,891,191,143,393,596,053,940,
472,133,729,058,481,564,508,182,417,253,086,001,549,203,171,913,928,132,289,
171,234,686,785,922,185,484,120,863,664,533,040,084,160,729,389,032,021,755,
093,242,226,136,719,431,346,317,842,158,941,739,676,385,957,153,520,082,140,
023,372,405,308,171,211,805,799,005,955,503,870,914,721,413,275,984,347,769,
669,039,618,622,799,132,084,976,756,115,077,179,282,593,926,874,811,274,490,
330,953,810,622,504,204,841,035,748,221,285,825,301,347,661,041,436,809,586,
087,841,176,501,253,360,150,819,906,503,911,306,486,978,798,925,210,612,364,
345,497,137,877,384,241,453,334,629,953,045,229,231,091,598,296,044,603,536,
727,854,969,478,032,249,786,516,076,693,057,146,080,785,941,488,661,482,868,
084,567,826,510,213,255,179,008,556,972,477,385,717,618,416,785,378,308,156,
492,250,212,553,831,444,162,974,396,744,036,419,051,397,647,274,269,945,715,
450,968,556,962,316,322,949,581,611,783,264,239,389,054,145,933,275,025,401,
846,145,209,903,328,573,608,029,063,896,242,292,299,115,993,077,578,316,810,
864,503,895,725,054,633,432,067,510,019,152,687,108,674,479,849,550,267,835,
714,906,332,819,742,201,902,859,636,603,471,494,844,398,952,284,911,375,964,
176,462,867,159,120,081,477,776,310,518,328,565,423,194,571,381,587,216,665,
653,455,886,278,649,734,700,384,553,286,528,844,938,681,519,695,273,128,847,
479,060,387,419,928,111,679,674,448,620,226,214,203,164,044,808,430,110,405,
356,928,074,725,130,635,328,436,476,431,723,802,460,093,007,919,338,560,417,
899,973,717,422,144,584,693,216,168,392,665,055,766,967,274,993,073,123,084,
012,273,298,752,626,412,889,734,233,413,509,845,295,430,823,933,389,402,804,
350,525,289,926,337,374,676,033,885,715,110,873,753,436,787,215,693,350,070,
626,146,779,359,376,712,883,957,062,018,712,611,214,139,980,536,501,942,406,
581,830,221,037,689,310,269,958,531,102,934,547,755,128,436,220,315,697,887,
104,906,770,012,002,064,675,444,030,918,190,335,462,777,245,971,733,963,607,
225,200,012,719,739,502,396,861,794,973,537,287,043,315,996,537,998,087,726,
889,851,838,638,531,774,950,759,234,734,407,013,871,039,806,159,442,913,328,
038,163,323,831,284,510,123,381,541,923,171,396,987,774,656,780,526,736,453,
729,630,153,742,007,224,897,988,041,696,688,973,231,307,057,627,720,403,796,
715,074,615,858,491,589,413,677,169,113,620,617,944,530,748,309,320,447,237,
863,373,014,160,713,684,954,531,573,520,817,035,241,934,448,496,555,175,346,
938,367,010,321,376,836,550,925,700,493,185,397,822,778,522,651,302,218,304,
593,908,931,201,787,572,351,337,989,958,154,088,579,758,560,995,404,056,638,
803,278,532,397,328,574,454,119,062,538,952,538,129,268,156,095,317,249,848,
012,999,435,744,683,246,182,731,507,740,408,130,561,469,419,609,576,179,671,
825,742,507,475,912,523,468,282,608,050,322,665,993,398,155,210,120,653,522,
413,031,153,987,319,983,350,111,296,026,157,972,497,176,735,238,440,795,637,
326,261,911,883,469,106,896,232,758,061,022,339,444,086,414,867,132,506,840,
871,195,704,960,937,735,027,383,397,518,869,423,898,695,278,101,353,330,490,
566,940,649,410,461,795,784,777,738,729,707,833,517,697,190,148,217,125,890,
094,240,346,756,450,749,864,776,340,371,189,262,724,108,093,599,731,752,920,
091,024,925,936,127,025,511,783,779,421,346,619,800,464,710,921,579,784,486,
844,145,104,027,285,773,440,950,365,468,750,846,969,300,336,933,297,406,023,
523,568,770,890,279,321,103,984,617,579,993,430,542,307,661,383,563,468,467,
832,232,169,855,768,610,809,325,824,451,344,763,202,754,646,794,942,914,547,
748,135,044,130,364,842,050,529,097,195,168,521,102,251,922,960,958,780,919,
149,046,024,524,072,190,332,604,141,416,814,594,687,933,050,930,690,764,975,
808,805,012,734,311,361,996,051,339,069,615,861,461,182,331,397,962,125,794,
667,176,975,879,232,087,411,074,966,113,046,040,014,289,719,895,908,260,162,
956,846,137,460,135,875,731,567,491,168,820,510,732,902,164,216,293,903,305,
316,896,595,123,513,257,531,116,516,458,154,389,997,634,316,229,127,906,300,
892,030,241,954,246,968,787,938,110,755,110,977,105,404,853,265,157,831,509,
327,221,176,626,761,487,496,558,931,641,070,317,276,370,177,120,041,514,732,
044,880,832,694,594,917,275,355,502,288,821,951,118,068,084,132,264,637,619,
372,690,147,685,597,811,481,120,410,759,995,303,678,336,497,600,071,488,742,
713,468,305,905,325,797,615,464,284,342,166,291,928,004,472,510,210,167,149,
096,269,921,793,660,026,785,779,909,198,338,246,610,655,297,625,208,175,096,
114,631,135,493,313,761,108,806,042,564,127,992,420,548,989,237,385,809,735,
658,638,791,896,160,338,941,091,845,962,873,467,944,174,596,752,888,481,784,
698,888,049,153,970,628,865,969,515,659,289,049,977,632,416,968,360,432,700,
339,291,766,373,265,333,545,872,867,710,074,641,126,461,502,675,858,551,642,
114,394,758,794,649,695,799,006,392,344,354,592,898,423,897,834,868,981,533,
821,208,886,913,521,008,981,334,871,750,415,179,887,744,628,831,527,200,780,
014,152,932,182,178,656,325,026,391,199,676,438,845,729,324,799,075,678,710,
222,659,076,898,926,280,521,163,571,237,296,376,111,284,392,963,768,123,273,
545,671,838,594,454,399,742,878,491,434,727,743,020,787,441,711,915,848,053,
098,450,606,600,058,498,681,474,820,106,428,588,174,875,485,714,788,688,337,
012,438,538,999,992,763,348,180,094,584,717,249,715,424,598,345,195,380,433,
332,253,920,977,412,665,346,629,273,019,719,798,295,206,605,390,930,181,432,
187,875,173,118,906,451,082,818,726,740,490,709,660,601,796,994,094,871,312,
645,928,765,686,116,067,993,714,661,401,809,786,903,625,050,432,097,857,335,
275,348,731,329,902,866,974,849,209,399,743,813,644,620,668,207,118,855,707,
711,014,877,490,800,375,754,058,881,031,880,284,502,998,712,524,294,315,923,
416,448,181,839,516,628,384,450,719,302,744,147,814,478,857,176,109,003,979,
835,985,865,895,987,944,189,830,675,477,134,305,327,045,148,781,275,071,271,
597,630,376,788,581,093,452,881,033,744,808,171,584,646,477,746,861,890,244,
128,391,794,140,259,422,349,496,201,664,420,778,265,103,828,527,933,998,611,
819,058,650,655,366,672,091,567,730,443,820,668,200,079,291,343,457,877,942,
565,257,431,483,419,417,206,948,914,561,255,178,157,374,344,633,874,408,175,
269,374,620,023,348,660,098,797,473,064,354,530,214,352,295,987,689,182,523,
057,972,447,692,142,525,365,362,398,451,926,725,406,328,546,991,628,526,165,
380,773,668,280,424,548,360,115,675,881,455,759,185,503,062,331,162,700,458,
744,487,375,320,703,799,512,935,286,914,446,352,078,247,560,716,652,521,947,
083,706,928,949,079,131,872,558,088,811,896,295,436,378,183,862,633,846,588,
885,357,244,405,476,261,815,523,903,416,360,692,263,768,609,646,719,803,473,
305,678,697,141,940,371,309,143,028,610,749,917,302,866,365,692,904,008,448,
438,872,744,785,207,457,539,475,066,798,378,375,461,898,837,147,118,446,017,
237,811,334,846,915,409,376,571,279,468,412,678,962,766,540,922,806,790,557,
222,399,610,378,906,343,962,501,387,706,935,162,257,865,683,013,050,281,752,
395,980,305,600,778,991,500,038,271,873,129,094,932,342,974,196,074,952,332,
943,005,133,809,262,707,766,843,165,355,310,940,946,924,269,782,153,552,731,
335,354,352,587,995,336,310,503,654,918,697,361,718,478,631,755,777,106,751,
781,766,212,294,588,757,496,556,044,600,271,299,445,547,696,399,843,762,557,
158,868,047,553,054,636,379,191,121,924,620,020,898,775,050,084,854,212,613,
706,893,690,030,042,643,380,613,284,941,676,551,099,846,836,629,124,792,654,
568,226,938,471,854,629,102,370,499,426,337,426,707,119,606,255,713,542,525,
956,253,265,624,890,314,984,813,251,990,367,874,203,643,944,056,076,908,580,
685,531,402,527,286,183,306,524,621,079,736,505,112,382,301,404,083,527,009,
261,608,683,205,880,322,282,528,125,609,136,706,036,764,482,628,325,488,029,
163,894,078,121,266,202,536,015,143,607,050,017,410,610,960,629,101,889,716,
778,655,582,628,435,850,042,563,110,013,996,223,759,356,975,265,073,275,636,
790,374,909,825,794,420,405,161,806,293,870,715,119,454,998,181,310,355,970,
986,844,358,111,579,467,531,275,708,880,685,136,600,593,332,419,837,517,062,
101,549,245,000,312,785,818,190,862,148,249,429,918,416,115,051,822,383,379,
693,646,634,342,928,582,480,444,184,873,118,047,173,403,728,429,683,138,024,
692,300,476,577,110,632,225,382,790,795,241,906,126,660,947,815,629,012,733,
472,622,125,635,153,460,745,804,727,510,825,026,977,660,508,230,853,349,911,
592,818,308,744,241,242,508,012,766,922,457,771,969,567,299,527,946,696,159,
246,830,462,776,025,195,023,508,910,512,798,707,491,608,957,402,926,606,454,
568,084,547,379,396,098,993,423,623,323,272,528,797,451,229,638,679,513,517,
243,775,561,653,640,275,814,717,606,869,831,704,789,449,033,061,494,187,205,
825,678,265,860,966,930,952,054,390,684,233,509,959,494,163,352,899,692,262,
680,197,677,943,812,595,515,012,329,516,344,432,288,738,437,219,862,860,597,
711,185,960,155,997,223,682,149,235,023,872,420,182,718,965,069,613,764,491,
577,087,098,891,700,297,653,433,212,855,727,915,478,540,581,642,342,475,014,
420,101,038,038,807,422,284,705,195,072,598,626,449,580,023,411,862,291,826,
682,365,818,104,006,742,010,961,767,790,314,793,042,933,787,647,907,062,789,
663,251,607,100,042,769,258,580,626,846,190,363,304,420,176,663,834,141,932,
055,821,472,750,547,741,127,774,721,179,798,399,449,026,631,249,044,554,531,
384,234,100,932,029,310,745,061,585,276,619,006,858,190,626,828,613,913,842,
455,411,719,963,896,239,978,586,519,225,627,666,488,413,008,881,713,183,190,
574,166,789,485,685,608,272,747,010,213,343,774,479,036,002,732,229,556,866,
237,099,899,093,894,918,523,366,394,267,614,103,881,179,121,154,690,307,403,
831,853,462,423,273,688,502,960,725,588,491,225,071,641,283,526,029,930,446,
726,370,440,927,340,765,145,103,895,558,686,166,057,240,826,857,349,095,387,
074,819,408,424,930,635,595,708,301,828,260,082,746,274,548,145,480,845,069,
622,870,826,988,246,707,721,784,043,525,581,997,852,997,050,906,075,610,007,
113,185,055,353,890,232,227,624,398,408,288,792,110,213,891,603,158,002,040,
303,790,591,884,990,754,534,108,643,975,408,123,856,228,157,555,827,113,117,
843,922,790,224,449,176,144,628,026,935,220,908,436,712,852,047,502,639,169,
087,061,803,730,836,095,914,974,323,641,786,715,756,082,449,374,774,366,478,
731,462,321,284,631,249,240,488,563,255,748,983,592,687,241,065,645,843,756,
867,955,786,494,081,350,068,650,537,645,403,492,382,429,400,474,998,919,771,
150,171,569,003,031,126,585,307,271,504,693,491,086,996,289,698,610,488,448,
795,227,113,587,647,713,880,779,456,314,456,818,443,025,802,868,170,208,847,
087,807,272,785,172,821,675,814,734,145,860,929,819,033,021,346,273,581,824,
082,355,044,108,448,984,327,307,340,439,170,697,486,641,306,091,243,580,900,
046,256,661,291,903,278,356,635,476,183,512,952,831,921,647,706,823,606,340,
760,290,379,976,214,181,551,115,774,370,267,644,275,776,966,176,028,201,091,
356,207,260,215,126,646,170,807,068,891,216,423,699,523,661,600,515,227,732,
241,689,951,971,396,327,053,221,270,795,885,096,968,083,695,345,033,459,821,
919,668,846,155,236,087,581,250,262,743,737,265,377,540,157,628,490,622,205,
843,139,437,682,040,084,366,585,343,282,342,436,478,157,951,041,539,476,022,
942,969,616,605,138,127,668,513,613,242,751,526,699,605,432,127,268,454,800,
825,911,276,426,497,977,604,083,384,208,029,843,076,232,895,317,744,852,629,
645,475,814,495,979,095,776,187,011,654,819,122,370,069,107,735,211,283,181,
307,782,095,994,407,300,847,573,734,717,263,359,482,144,481,298,078,607,693,
166,538,860,272,328,086,333,359,874,836,884,863,965,210,385,884,740,443,558,
156,614,919,753,315,938,864,149,937,050,844,578,796,178,616,866,294,533,470,
009,093,323,489,450,139,984,183,959,128,936,974,981,603,382,017,105,807,801,
474,840,768,637,283,105,146,377,986,676,268,750,676,398,681,500,589,575,037,
314,752,297,093,007,897,072,087,393,954,449,479,540,062,266,546,146,153,413,
020,617,659,319,163,555,739,123,561,962,747,109,012,033,313,759,565,646,734,
522,897,911,299,827,390,359,227,831,161,779,542,247,733,880,796,945,350,043,
778,397,409,498,202,318,028,312,977,132,624,432,829,050,175,239,393,046,468,
268,940,099,249,002,186,519,356,299,011,853,133,140,441,556,692,111,460,139,
290,901,748,558,035,665,773,664,044,921,487,517,712,087,624,848,066,885,820,
771,424,878,936,887,480,271,643,872,717,616,126,436,643,597,614,866,746,986,
985,999,954,828,698,804,460,131,791,342,060,010,328,386,367,921,122,076,068,
167,863,864,375,688,070,362,012,288,912,946,893,323,832,368,259,371,251,450,
591,047,659,104,326,325,266,389,015,618,348,990,445,358,236,378,586,431,537,
739,161,283,703,496,707,184,831,128,159,959,461,272,383,472,788,636,089,423,
093,051,924,248,510,355,655,190,272,371,134,802,122,720,302,716,648,812,242,
615,680,853,471,837,676,307,241,976,732,456,927,188,964,793,616,070,895,403,
617,913,088,917,057,197,375,639,958,663,954,384,801,598,486,111,700,680,945,
796,681,967,345,509,774,584,625,518,489,888,016,055,562,848,434,709,340,261,
408,615,873,330,116,948,681,059,986,185,485,028,680,369,174,489,776,629,333,
591,623,707,950,692,891,333,412,385,121,987,023,309,986,889,991,851,024,987,
150,081,102,294,000,734,309,252,788,707,594,924,309,751,550,793,307,264,444,
415,394,248,703,571,702,416,883,529,774,280,398,296,654,259,443,273,907,449,
533,010,219,934,992,930,803,449,937,041,692,262,755,947,440,796,178,411,908,
470,540,020,654,571,977,596,206,144,027,390,941,854,960,415,871,937,037,952,
358,882,515,091,771,113,981,739,949,685,867,000,539,279,397,273,467,016,130,
154,308,198,335,606,508,976,097,648,851,529,025,348,140,177,442,044,397,615,
387,792,888,332,776,756,709,276,754,708,343,351,541,052,613,330,254,423,071,
918,451,362,353,397,210,168,900,371,293,859,302,093,790,092,302,191,098,685,
061,663,220,718,774,793,051,867,467,804,050,002,970,969,680,983,112,246,591,
063,150,622,393,554,468,768,039,718,513,962,653,516,753,146,646,916,804,843,
742,892,597,196,015,789,836,330,580,340,994,722,329,250,195,902,281,354,437,
842,390,905,210,876,828,887,139,511,540,372,569,437,375,102,893,663,189,845,
255,590,811,133,171,592,263,947,688,102,761,948,131,077,356,357,546,201,164,
221,426,840,941,983,312,745,053,591,260,160,397,598,835,363,366,417,356,286,
636,265,514,254,327,065,085,877,616,024,239,539,576,375,937,372,545,936,453,
179,845,175,287,948,504,845,933,501,995,143,167,693,119,723,991,270,197,224,
325,673,638,315,334,357,531,487,619,686,716,221,520,415,026,092,639,294,883,
775,237,774,597,085,911,924,218,410,385,458,335,416,714,304,497,409,567,921,
557,173,584,344,409,436,372,603,255,809,131,859,606,859,243,123,484,586,016,
442,603,906,930,733,660,838,976,896,350,141,262,929,415,612,474,746,376,106,
349,195,968,971,982,469,945,889,164,185,711,609,987,692,550,893,096,213,222,
898,267,259,218,316,571,674,904,125,520,984,577,958,673,400,335,360,553,485,
686,359,600,011,197,652,030,703,587,539,287,855,141,712,193,829,671,765,810,
517,368,708,177,027,421,090,996,653,951,610,942,118,548,062,088,269,608,764,
355,114,722,067,312,887,987,193,474,002,192,408,760,474,843,458,755,934,383,
518,087,974,849,103,701,970,695,119,269,380,457,390,872,481,760,838,640,033,
968,795,474,108,523,854,057,361,409,398,225,426,379,034,682,416,856,286,004,
641,994,737,904,809,881,602,797,103,723,576,553,745,125,159,839,617,148,231,
848,288,813,401,171,576,582,850,555,767,867,462,761,279,516,821,683,342,398,
481,230,439,899,721,186,941,090,017,759,434,368,898,621,142,206,990,581,222,
247,698,759,606,087,401,332,064,164,880,446,089,205,377,832,250,943,256,576,
581,466,360,509,698,942,115,258,683,721,688,733,004,577,042,501,259,540,681,
156,441,425,993,738,264,169,025,658,267,576,116,171,478,287,456,497,934,280,
632,882,708,914,575,688,673,279,796,297,274,208,299,834,736,882,004,444,369,
383,676,795,627,573,809,861,970,916,499,129,237,306,488,350,718,731,231,371,
258,158,199,847,632,459,008,816,315,381,622,090,912,411,258,149,587,527,455,
921,072,410,372,234,681,724,036,269,551,091,549,250,866,215,512,519,782,866,
475,315,362,583,817,499,291,526,044,592,479,125,461,605,695,231,253,687,122,
999,738,416,754,955,958,178,288,019,368,421,110,840,469,205,723,519,506,927,
834,964,657,045,221,091,096,351,140,880,715,318,927,880,248,605,180,372,530,
701,103,278,231,268,649,803,026,589,229,271,130,121,985,692,730,651,581,715,
997,294,799,855,965,919,142,729,154,624,284,837,102,310,601,455,292,659,129,
365,255,067,948,982,320,788,627,350,622,503,365,425,933,864,726,379,244,547,
095,741,143,810,813,893,855,748,715,616,160,111,676,001,719,155,329,610,702,
772,804,351,461,939,341,085,215,861,411,431,899,602,192,347,836,320,812,926,
604,606,280,577,568,027,044,112,209,792,812,255,834,192,917,979,046,101,447,
058,539,734,183,580,130,594,673,652,302,845,207,280,389,860,979,193,623,607,
789,172,450,530,597,378,668,848,415,172,495,537,072,614,134,258,819,864,865,
077,967,539,163,344,507,961,259,043,454,657,197,694,063,630,934,889,800,819,
278,935,808,649,243,289,677,811,194,748,511,428,509,018,099,934,806,080,041,
170,772,070,047,424,136,556,334,707,944,575,129,957,490,537,790,061,251,042,
627,901,272,375,903,816,161,000,212,875,218,186,159,226,167,763,731,533,131,
507,480,499,349,247,960,877,103,742,001,425,751,519,197,825,657,101,535,697,
555,293,731,830,431,031,585,835,627,063,466,316,586,048,441,436,441,763,204,
962,861,601,088,243,318,649,321,814,664,569,674,489,110,809,912,284,652,010,
013,850,318,129,133,932,728,890,618,241,312,146,975,467,884,869,180,234,326,
891,160,997,146,956,825,248,807,520,968,953,938,571,597,806,554,484,672,934,
547,607,252,558,843,973,202,998,674,361,175,631,981,597,186,500,736,245,779,
835,454,649,115,257,795,362,835,157,570,592,180,639,881,257,743,810,806,459,
248,884,650,824,797,389,736,686,641,590,237,443,023,603,945,344,233,578,837,
615,139,862,976,891,644,994,673,110,333,504,506,587,535,012,785,495,765,670,
885,021,307,755,450,972,162,598,033,361,327,417,971,570,309,799,079,826,667,
617,265,362,043,254,175,733,938,454,785,711,292,915,235,231,797,081,047,872,
215,459,475,178,984,278,525,085,610,267,395,855,682,272,497,083,900,441,834,
850,134,784,320,907,858,721,918,079,790,369,854,857,616,646,194,862,470,337,
795,194,065,533,288,098,088,483,317,764,249,228,767,918,909,673,812,890,778,
997,771,511,350,940,426,747,625,955,349,008,531,195,904,265,210,453,527,210,
095,210,562,109,084,148,255,478,484,466,003,964,970,922,715,855,599,968,610,
816,674,706,148,342,739,042,036,717,167,300,195,298,460,942,460,088,506,231,
661,196,154,811,357,242,657,596,097,846,737,588,505,860,311,949,663,850,608,
736,382,119,264,848,386,478,241,058,375,047,039,523,569,325,025,168,540,052,
788,437,598,747,599,540,974,132,417,795,121,860,801,904,995,918,951,380,267,
726,758,147,213,866,512,924,576,112,906,370,818,799,619,986,560,439,960,547,
986,154,252,792,753,096,401,878,126,104,458,034,062,485,678,793,885,171,860,
901,010,095,712,331,455,550,485,479,050,188,393,894,616,554,598,349,912,641,
499,834,822,058,884,720,441,441,700,283,750,227,366,631,629,048,896,081,088,
279,466,881,048,298,834,345,897,413,454,276,032,566,539,202,227,261,954,548,
170,586,721,962,314,931,491,150,434,993,868,761,793,481,471,194,301,436,740,
318,483,399,242,434,844,270,356,815,588,358,740,129,728,760,757,627,110,093,
387,700,719,555,844,989,526,751,450,394,212,720,580,361,549,454,687,782,895,
698,953,316,214,877,113,763,874,155,188,455,380,388,873,050,957,933,628,644,
997,934,902,102,403,747,367,197,283,088,658,226,691,336,478,169,533,008,584,
806,588,031,633,153,903,544,084,093,043,377,467,154,853,059,979,184,918,413,
117,832,872,759,090,225,289,946,618,853,099,989,263,333,112,090,104,756,169,
598,557,436,035,472,841,193,070,961,550,623,128,433,782,928,493,655,782,485,
015,267,665,202,770,507,264,156,225,424,059,095,060,904,351,217,479,750,406,
294,667,165,794,682,474,470,551,922,763,226,292,824,163,572,770,373,393,979,
640,769,549,195,780,771,479,545,815,773,442,906,915,541,354,617,936,814,602,
543,783,660,564,062,029,605,490,202,649,996,028,411,849,854,726,273,466,130,
670,294,325,742,332,514,888,640,335,194,582,652,437,516,097,587,621,348,060,
464,480,482,324,511,055,083,666,970,762,524,109,250,027,461,042,748,558,777,
040,204,337,019,278,188,125,647,175,653,248,970,953,294,082,076,453,480,767,
953,235,593,474,612,305,691,087,325,776,510,236,127,616,197,416,415,125,287,
996,423,188,854,406,230,620,992,766,444,082,706,554,985,619,325,481,521,268,
045,076,069,444,399,976,428,737,745,312,231,679,908,126,239,006,102,136,648,
146,646,149,110,246,772,323,174,220,556,136,462,720,422,330,779,782,244,751,
787,375,661,850,677,787,801,291,061,683,401,034,966,974,070,515,163,866,932,
640,607,580,694,813,043,873,114,704,429,185,169,230,530,700,471,372,009,372,
854,948,844,248,737,261,987,106,059,344,703,666,119,294,367,287,890,515,179,
743,579,267,839,340,408,744,109,863,400,475,638,032,440,479,569,791,398,820,
711,093,263,786,108,917,661,339,967,065,082,833,229,995,412,065,265,314,958,
533,123,130,066,503,503,081,949,913,213,599,826,602,348,587,562,091,054,590,
191,386,229,669,548,350,678,753,587,339,221,691,222,444,865,058,411,537,260,
842,322,978,991,580,876,238,799,275,228,268,225,071,739,064,449,714,881,088,
836,500,420,748,934,561,014,850,135,481,718,411,386,109,089,421,364,785,682,
558,077,285,245,265,603,878,700,349,009,532,467,395,669,567,661,654,234,448,
343,442,349,911,736,164,332,634,970,048,012,834,333,028,397,224,337,240,508,
986,545,495,499,729,854,235,227,434,930,704,498,032,636,781,994,274,798,967,
740,128,271,978,776,249,818,731,210,594,275,286,540,631,817,797,854,420,371,
513,630,698,383,548,696,008,790,537,130,316,261,250,988,424,707,851,917,486,
487,728,758,127,710,590,448,928,935,719,272,264,356,512,948,791,496,051,169,
609,022,711,145,597,573,432,309,266,808,415,610,148,810,416,169,816,201,408,
649,394,118,007,184,900,721,582,705,359,561,662,132,891,692,798,559,812,288,
484,460,631,130,796,565,010,326,055,807,687,945,172,327,440,532,278,377,827,
445,214,129,986,623,041,112,764,481,021,840,367,583,423,831,240,909,840,193,
991,052,184,839,977,555,080,969,065,604,005,389,259,470,894,274,614,617,092,
926,328,598,226,399,411,454,625,632,609,347,276,333,501,343,743,614,923,373,
854,715,728,558,605,354,186,727,337,387,632,585,030,311,286,785,129,417,890,
486,329,808,884,925,142,755,526,963,053,818,987,945,099,631,532,305,733,907,
252,457,193,572,010,612,603,134,748,181,720,500,095,330,615,998,593,742,673,
276,871,227,807,893,734,953,626,360,727,724,874,190,727,937,059,731,406,247,
918,821,041,660,897,941,767,754,904,832,541,097,064,545,644,670,624,043,297,
224,243,585,301,221,159,126,233,643,536,710,417,970,908,158,079,856,552,341,
895,406,015,945,740,402,963,732,264,145,437,554,661,882,371,953,758,892,999,
430,093,553,894,140,314,769,761,553,392,710,938,345,166,292,358,835,750,539,
509,173,506,398,651,627,990,598,352,401,667,732,009,393,951,448,443,611,189,
941,564,555,171,723,584,092,727,159,607,465,500,730,675,303,667,602,833,054,
700,468,913,419,319,750,587,450,729,744,792,550,994,037,665,824,880,024,628,
211,560,527,367,052,562,707,348,769,436,245,921,065,698,730,485,093,313,259,
651,209,247,956,277,407,437,654,559,934,431,915,632,777,272,586,880,636,451,
089,279,949,940,236,278,554,082,079,858,937,644,542,419,096,356,398,750,111,
513,487,362,143,861,442,741,568,773,306,164,774,446,141,327,431,317,620,777,
835,828,363,417,724,450,916,308,543,324,961,849,149,467,178,394,118,579,787,
156,824,972,346,228,768,283,796,024,959,787,266,402,655,900,916,244,388,974,
826,729,378,000,848,843,597,364,303,650,263,209,450,976,108,321,932,858,384,
092,961,971,336,362,549,426,794,855,092,917,365,993,583,363,309,635,544,822,
677,136,811,544,588,744,723,343,654,709,123,615,067,910,303,054,601,080,706,
515,313,817,674,091,681,857,559,079,958,342,919,893,257,416,164,477,104,290,
295,766,616,979,047,009,233,524,284,164,967,536,802,174,373,815,050,496,896,
018,582,238,703,503,564,876,018,587,797,042,607,243,371,594,502,033,097,570,
009,041,919,426,073,309,749,603,075,351,651,105,009,408,455,224,887,848,511,
911,000,740,784,098,106,152,646,558,988,808,353,438,583,272,530,893,505,920,
879,443,285,545,137,671,244,676,457,340,917,804,255,241,936,957,575,576,804,
344,057,206,572,182,950,349,694,202,639,243,624,715,291,025,248,826,505,068,
478,033,852,433,774,977,894,104,255,540,027,937,418,458,230,637,488,051,841,
516,661,358,042,735,302,962,690,496,262,302,683,565,712,346,556,681,266,889,
511,888,617,487,902,026,273,434,015,545,851,997,092,547,697,247,853,771,340,
117,202,898,208,448,502,000,533,069,124,588,597,886,059,574,299,761,155,782,
060,856,660,644,297,680,251,509,524,999,975,016,319,387,074,625,178,972,832,
566,443,500,137,537,139,119,617,953,640,164,908,379,487,723,090,583,518,971,
700,857,609,381,895,988,617,239,722,625,790,431,470,238,505,807,222,534,672,
192,557,501,531,476,856,324,793,574,943,092,200,528,668,387,808,920,862,440,
154,405,821,799,205,080,328,233,938,860,931,731,245,616,750,441,113,023,278,
661,441,453,992,750,568,291,912,543,909,029,619,828,777,079,081,960,655,693,
994,026,863,725,353,650,108,869,444,812,740,244,211,513,087,339,519,705,893,
685,501,779,126,716,152,399,851,682,478,669,795,032,595,929,520,938,981,556,
572,698,392,300,417,245,344,340,186,900,739,239,075,376,544,861,712,109,179,
900,321,986,572,316,671,101,494,028,622,508,557,349,432,621,962,516,095,873,
066,554,172,762,503,143,864,239,832,791,451,886,694,187,873,953,412,070,855,
245,365,225,845,520,239,201,955,874,966,475,365,599,547,905,000,412,418,792,
117,164,867,056,836,588,218,049,631,553,745,145,171,306,783,347,243,459,232,
850,813,069,412,852,938,008,928,594,701,009,115,200,745,345,859,055,739,654,
561,798,975,292,525,010,780,896,012,382,965,707,678,749,752,068,889,415,571,
227,664,164,259,671,474,157,783,382,730,388,261,995,076,407,379,266,884,797,
809,607,809,106,173,775,213,135,958,685,067,531,209,119,344,736,772,226,411,
233,404,826,634,184,973,237,731,988,992,890,704,861,366,073,626,822,829,361,
753,881,621,216,659,023,784,263,718,280,589,272,885,346,044,800,849,908,514,
975,156,649,125,437,671,089,269,232,211,955,536,740,962,602,415,284,693,424,
881,473,004,128,598,475,937,307,183,859,305,885,759,705,111,722,266,308,555,
851,789,184,620,584,349,241,520,660,843,430,951,409,209,038,149,207,094,590,
139,970,189,109,303,108,860,933,073,425,374,843,109,516,467,913,429,474,957,
489,333,162,978,978,263,477,795,930,034,177,141,712,473,033,870,015,923,813,
016,252,425,332,767,446,801,892,689,086,427,307,652,827,722,610,966,838,729,
391,721,769,032,697,344,455,190,879,759,771,621,455,644,192,300,680,171,666,
063,946,263,505,084,146,009,652,988,796,730,921,340,380,776,815,888,150,857,
692,801,225,075,507,175,083,251,737,568,575,402,897,952,095,162,585,403,844,
789,596,125,901,844,159,255,329,451,310,523,620,868,419,137,465,976,924,034,
056,251,200,582,668,690,768,841,492,714,548,645,137,905,990,650,841,807,877,
922,229,655,731,197,111,521,063,368,494,166,775,858,240,103,146,455,008,643,
138,402,268,697,396,688,030,386,726,682,248,315,809,844,165,253,859,229,528,
159,457,113,783,413,761,234,348,230,430,484,262,124,970,637,078,931,375,120,
474,728,047,482,143,869,505,416,883,271,423,812,680,846,954,444,096,887,544,
073,754,803,685,434,165,194,851,593,437,342,927,709,185,976,595,595,089,932,
110,801,429,373,184,942,997,140,334,347,053,437,173,061,776,566,823,727,013,
118,604,404,809,526,170,133,910,581,409,465,075,690,616,166,937,236,245,307,
763,578,404,444,317,111,247,878,469,095,868,424,685,247,993,278,092,884,411,
724,789,521,231,946,441,302,570,896,004,632,639,370,989,071,645,644,833,786,
478,730,229,637,414,070,798,624,506,930,059,860,715,147,098,096,511,387,129,
385,029,002,530,758,547,092,339,826,638,788,499,414,885,116,603,367,748,778,
798,874,193,710,921,984,011,219,109,106,254,486,658,805,716,139,531,409,211,
785,563,629,656,996,976,261,782,925,543,550,079,242,257,895,591,889,641,526,
301,799,677,399,442,593,795,806,519,762,135,468,824,592,254,396,561,113,802,
758,937,106,977,609,077,053,838,743,604,975,029,579,858,522,903,204,460,117,
505,009,469,432,624,229,020,340,164,369,270,652,496,512,796,933,776,361,324,
952,213,368,904,302,118,230,933,944,841,647,447,395,083,966,801,879,563,356,
303,835,455,692,742,714,060,685,945,868,465,887,829,811,845,524,306,321,123,
855,798,687,117,999,405,331,904,873,763,351,461,544,201,935,089,381,411,871,
305,628,698,215,836,056,319,205,450,626,919,553,911,199,892,259,643,616,446,
062,919,072,911,745,174,590,151,437,898,745,197,622,265,768,730,510,818,039,
837,728,990,307,407,443,334,621,265,391,598,274,577,284,073,583,968,942,432,
691,925,151,437,923,738,594,485,963,923,816,844,188,423,618,302,389,063,956,
674,797,930,481,291,407,490,223,389,867,469,838,414,821,920,036,149,720,623,
500,201,410,629,882,381,424,381,684,398,796,424,639,476,323,487,346,802,235,
996,327,060,992,661,100,567,988,249,155,529,864,275,444,508,037,765,256,521,
526,032,412,082,426,373,860,706,255,148,992,291,656,675,824,434,729,472,582,
873,533,245,670,359,921,409,426,915,689,592,033,162,058,892,331,356,874,391,
731,861,398,834,927,032,158,072,579,319,580,861,862,335,566,356,022,854,593,
379,136,512,538,101,195,245,570,108,457,638,081,016,366,211,093,408,795,663,
596,065,923,274,441,373,314,655,293,231,374,557,259,516,758,503,968,910,768,
314,786,807,181,482,291,407,320,553,457,607,071,234,667,561,157,316,942,376,
156,703,989,073,657,956,921,268,557,823,073,526,792,721,025,256,845,137,787,
502,501,996,477,406,467,046,883,152,599,681,458,406,276,576,433,566,203,300,
752,888,808,367,102,782,836,281,359,289,218,125,585,661,262,084,807,437,814,
539,112,054,565,180,042,906,836,755,492,702,982,936,260,611,453,917,977,299,
971,068,251,845,045,649,003,699,673,403,143,127,966,223,113,164,168,406,700,
605,017,643,133,853,514,840,903,862,631,818,499,689,977,689,243,078,265,383,
234,227,829,440,735,539,797,588,570,874,894,916,338,529,809,749,029,089,389,
415,367,258,271,789,796,396,686,827,712,557,153,138,147,654,827,144,331,510,
409,919,226,935,079,207,195,277,588,023,055,215,558,106,272,223,722,462,966,
972,765,688,846,948,274,719,891,230,991,988,341,794,299,881,027,549,056,989,
820,989,304,834,665,454,919,863,519,563,442,007,781,220,774,585,936,699,284,
914,007,606,400,379,663,501,615,580,167,295,232,729,832,644,983,092,366,510,
299,191,323,787,665,028,067,096,495,692,500,746,052,755,271,609,245,594,014,
923,857,559,964,090,623,689,113,615,515,188,626,448,747,160,366,999,331,856,
932,666,667,258,279,949,964,370,814,690,603,017,767,709,879,830,433,816,795,
505,747,026,598,663,678,962,645,558,921,704,752,789,812,833,611,350,663,319,
017,909,344,630,665,970,601,291,936,451,587,048,976,257,147,137,098,998,535,
355,471,506,519,299,337,991,548,987,345,302,215,419,179,064,176,765,711,962,
249,101,832,619,390,543,136,199,560,106,820,293,854,147,306,252,662,577,238,
259,400,436,544,397,901,251,695,981,151,643,528,687,260,881,796,391,758,602,
608,298,023,911,188,884,710,446,906,190,066,760,490,649,400,965,236,488,710,
942,705,194,406,211,455,088,098,244,604,079,818,918,739,706,339,860,045,859,
133,680,523,326,855,778,601,558,097,703,883,373,545,859,230,936,964,609,076,
757,259,582,368,060,702,642,626,980,910,840,724,888,734,593,031,983,041,620,
811,137,026,871,873,953,458,007,444,641,544,725,794,867,189,605,602,070,435,
678,550,866,020,503,530,625,939,132,553,890,168,299,256,100,491,223,828,908,
041,806,074,201,103,499,388,191,097,465,509,115,418,892,563,021,981,491,769,
343,962,431,404,758,151,826,230,872,400,388,779,753,646,457,069,575,048,135,
834,934,469,511,448,594,713,161,438,853,792,032,744,294,213,553,403,391,313,
445,852,184,207,845,077,078,098,641,499,761,243,280,073,454,047,708,125,576,
043,118,171,141,160,060,507,791,961,189,903,158,353,536,183,625,174,378,631,
284,163,049,747,866,574,337,692,825,013,579,040,589,676,288,317,738,249,777,
595,843,734,556,463,402,482,926,111,608,569,938,903,875,709,475,051,936,478,
435,491,033,041,015,957,340,741,703,819,937,168,239,002,802,615,632,536,690,
768,843,310,340,930,181,788,099,138,792,710,239,409,344,542,165,533,964,448,
267,049,268,774,131,737,495,898,076,900,369,096,941,817,302,284,242,217,535,
061,548,017,056,296,014,849,919,292,937,585,801,578,995,234,511,769,794,718,
058,106,691,912,748,072,833,206,750,970,642,479,206,995,329,761,636,378,228,
764,042,617,325,809,057,196,868,394,061,298,814,282,172,644,297,486,441,903,
464,368,140,244,499,245,022,420,571,588,158,660,187,169,055,001,768,381,994,
078,544,009,709,079,371,632,036,165,270,117,680,749,497,425,483,971,021,569,
251,594,074,129,145,596,906,458,146,717,209,892,357,569,784,296,163,200,154,
059,409,308,485,713,671,907,946,944,872,027,236,811,817,407,027,624,370,105,
023,615,509,711,297,778,995,646,124,621,058,248,019,887,453,828,147,456,662,
980,194,201,400,642,452,149,776,328,544,587,482,665,792,591,457,694,141,586,
561,168,038,018,468,152,281,146,697,433,203,329,999,049,458,581,233,727,584,
857,691,667,181,612,541,437,954,615,081,968,704,250,267,641,273,203,524,771,
253,980,197,708,448,639,807,700,022,921,339,446,270,526,114,182,325,106,794,
919,027,159,482,608,504,298,355,421,375,929,474,545,124,242,014,977,966,273,
904,897,122,514,960,284,982,552,512,021,851,955,142,477,588,286,507,709,307,
410,508,752,570,720,210,787,749,207,140,025,350,536,288,397,664,220,363,993,
791,850,210,699,516,295,937,167,261,350,590,147,538,095,534,214,047,127,745,
660,269,634,375,299,283,943,839,302,224,524,843,363,769,995,682,360,726,013,
508,061,440,251,404,596,778,366,527,782,855,892,273,284,970,456,710,329,927,
149,690,460,000,833,420,158,380,534,924,615,425,410,551,252,312,739,358,535,
034,857,206,942,602,645,982,553,411,672,175,351,036,194,025,915,145,097,590,
262,397,600,608,353,973,526,265,005,871,532,785,682,510,771,724,638,405,174,
798,144,282,352,262,921,995,057,017,499,513,273,010,558,397,209,610,904,358,
181,258,693,859,443,575,970,763,294,459,140,541,224,646,473,090,002,213,173,
208,768,915,111,848,523,011,196,968,922,253,075,923,788,753,930,374,438,329,
090,614,689,763,346,525,294,812,464,584,325,761,453,570,546,466,942,422,454,
777,433,074,950,084,616,978,358,464,362,311,145,847,411,273,350,334,741,877,
435,175,350,429,498,385,207,029,875,457,543,189,905,555,295,051,659,885,973,
057,646,786,421,017,812,190,649,892,585,379,426,616,586,596,134,615,580,517,
495,764,271,661,675,254,955,643,239,335,193,038,655,369,147,934,105,224,668,
962,842,653,682,437,036,080,324,007,449,131,796,786,381,369,878,398,876,674,
323,013,976,947,435,380,748,156,392,005,897,629,283,911,549,827,590,525,044,
508,122,931,693,496,048,832,836,514,025,772,034,018,699,656,713,487,013,388,
172,490,910,092,048,658,256,040,665,703,426,898,881,292,874,808,818,163,265,
373,478,351,255,351,398,165,189,212,628,576,046,069,418,853,710,140,694,419,
417,238,521,849,332,249,572,740,125,796,307,652,253,161,783,620,451,532,793,
542,279,306,696,204,195,237,306,416,742,939,797,147,699,172,986,217,002,640,
169,911,821,552,667,732,102,228,210,654,654,648,626,471,742,487,744,369,469,
669,704,324,734,616,382,594,416,254,866,609,133,187,859,447,170,164,237,436,
521,969,373,247,616,870,079,656,253,919,081,516,047,178,722,094,349,567,651,
424,778,416,222,286,219,879,267,365,054,230,253,876,645,304,010,442,673,045,
906,086,747,212,568,294,070,589,546,912,317,017,317,924,569,664,608,360,546,
451,741,726,235,405,139,413,968,228,170,915,651,451,722,847,578,216,270,662,
203,051,506,820,390,623,483,955,187,962,812,801,980,913,864,133,558,386,305,
721,998,413,452,460,661,572,749,752,544,959,340,979,882,320,456,570,676,290,
812,209,724,591,417,984,542,643,115,670,541,271,377,851,686,130,903,212,017,
828,225,580,016,801,709,998,689,518,712,658,270,185,288,372,105,405,905,470,
048,649,743,110,985,856,889,351,221,308,189,881,100,277,323,193,725,857,590,
162,974,906,340,623,160,534,852,114,778,639,589,700,207,990,502,697,930,823,
796,881,491,484,630,377,986,496,700,802,525,430,486,466,222,616,669,930,359,
444,796,491,833,282,951,034,214,446,947,178,451,456,273,173,041,646,807,922,
791,915,721,213,050,669,363,541,156,860,752,001,576,130,938,034,836,490,415,
153,429,864,256,567,007,290,039,471,770,363,384,850,704,944,013,738,717,610,
804,881,630,369,397,404,548,626,460,896,968,377,527,683,619,044,431,766,552,
587,365,224,097,223,626,882,016,702,534,854,452,530,041,429,245,079,045,200,
264,405,911,675,903,458,188,870,610,805,801,705,795,616,153,391,864,117,511,
606,386,791,864,383,442,013,064,576,860,663,437,018,118,008,429,051,290,486,
000,814,135,819,809,496,174,917,473,009,362,580,340,390,281,874,429,645,463,
754,850,715,202,666,005,697,977,983,659,769,489,944,304,340,321,373,055,553,
235,930,414,025,699,496,030,972,882,533,066,409,119,423,386,996,846,609,897,
728,848,726,637,227,024,857,865,539,986,016,059,663,286,299,349,958,889,457,
666,074,795,931,240,778,990,486,780,905,560,053,419,391,877,454,369,536,945,
627,105,916,052,339,584,956,153,248,455,716,244,555,218,206,980,310,140,752,
956,793,455,632,569,949,232,635,746,009,027,668,893,620,529,480,510,705,499,
831,596,220,222,145,850,459,710,578,580,896,701,604,298,503,929,112,041,489,
392,978,994,053,590,927,890,058,408,020,158,976,818,009,799,741,793,645,363,
536,189,202,020,922,468,170,160,241,071,106,950,570,359,514,380,354,020,585,
456,692,413,736,635,029,079,182,006,006,380,861,158,465,155,459,769,669,927,
749,855,743,203,470,743,513,306,492,701,907,738,903,010,321,517,507,457,360,
419,065,249,495,631,315,511,589,529,336,520,773,364,863,983,506,237,914,332,
524,923,396,546,006,123,771,040,240,241,746,681,893,897,402,812,236,960,431,
048,342,025,391,290,832,102,865,363,340,759,328,892,634,889,871,515,734,415,
202,815,649,669,509,916,474,768,936,384,160,107,345,213,815,049,573,318,752,
478,661,190,979,730,969,847,423,729,967,924,908,134,479,536,578,076,832,570,
145,642,125,521,523,088,973,135,429,622,041,769,510,816,070,839,100,616,469,
295,734,267,215,229,121,653,473,958,852,330,476,040,784,232,586,693,136,704,
533,055,521,338,346,349,976,977,597,256,536,746,048,008,816,699,872,567,879,
148,765,660,221,481,531,632,693,050,347,916,327,463,362,129,472,575,603,154,
558,005,128,053,214,244,605,499,216,806,704,863,926,095,615,320,678,243,220,
895,970,030,380,499,265,373,924,846,359,905,306,758,109,313,495,236,963,445,
467,519,832,256,184,817,547,762,148,750,351,943,592,544,096,099,825,130,739,
264,025,478,015,727,364,604,462,224,946,588,835,584,261,064,316,257,356,623,
341,416,593,542,446,986,018,374,567,030,070,808,110,614,588,911,322,493,411,
829,139,472,704,454,750,118,161,424,198,835,070,852,565,529,976,294,441,734,
971,976,450,981,034,384,042,362,236,065,422,694,460,570,889,286,965,544,077,
109,786,974,073,789,307,459,508,054,838,024,956,761,229,846,152,958,774,976,
531,540,873,866,464,261,513,849,504,904,463,533,353,379,303,254,127,685,374,
987,061,385,330,208,767,100,084,069,344,633,615,355,326,130,231,143,128,568,
437,967,327,395,896,123,359,768,794,334,090,936,891,006,275,685,650,728,267,
576,704,720,533,323,649,349,065,314,083,203,824,917,792,842,663,724,616,096,
621,469,996,585,721,312,616,534,348,786,351,865,773,456,863,587,259,643,717,
963,879,211,544,039,196,579,132,841,094,462,609,809,158,003,568,342,252,883,
520,843,646,701,574,626,933,614,470,532,030,061,589,254,191,171,643,022,171,
638,130,036,744,581,343,999,176,059,764,588,041,385,482,109,426,837,577,627,
384,025,198,545,130,547,305,922,631,848,390,880,032,102,119,197,230,565,774,
148,898,390,299,357,610,788,123,490,549,920,742,955,519,144,447,361,237,107,
079,847,305,805,788,761,302,378,791,510,631,920,084,097,732,967,192,012,739,
621,679,323,489,286,979,041,463,170,182,977,669,349,478,657,800,513,341,261,
174,541,893,401,187,160,642,679,835,101,337,813,762,365,763,748,689,917,562,
306,511,881,421,331,646,690,217,831,736,008,487,678,546,755,830,958,265,203,
745,377,671,828,828,585,211,890,620,317,723,105,322,210,249,733,121,631,848,
013,199,234,080,656,413,863,620,963,597,161,075,806,881,110,526,941,359,639,
921,435,457,950,168,212,592,934,855,825,200,019,241,867,315,638,959,247,097,
174,811,785,835,916,024,048,331,445,352,048,737,025,517,539,141,176,713,623,
642,457,705,875,478,323,306,778,483,159,392,522,136,052,141,007,600,009,156,
526,676,872,687,138,062,203,930,505,138,621,742,468,416,954,832,739,574,118,
351,717,708,796,871,037,885,472,194,512,365,711,214,635,813,240,197,863,466,
841,968,299,227,332,310,753,309,698,039,351,155,229,237,201,319,397,846,852,
198,169,715,842,350,261,437,630,472,681,442,824,792,311,119,311,740,027,644,
019,765,575,822,913,907,017,645,439,210,406,222,432,024,510,203,021,857,828,
495,295,812,141,197,320,717,214,392,824,798,150,686,256,789,560,940,320,338,
451,003,491,402,245,251,954,442,226,500,298,425,309,961,143,596,155,747,345,
584,977,026,002,177,593,457,740,478,473,005,626,603,853,109,323,411,356,980,
925,107,314,394,708,324,408,060,695,136,946,271,427,800,644,129,870,714,734,
352,262,817,176,588,400,033,797,054,476,305,285,494,513,379,269,218,951,901,
053,093,686,762,194,402,222,023,913,372,133,301,759,105,496,543,045,871,575,
539,546,979,061,034,157,004,198,041,046,377,230,462,368,382,045,336,551,956,
032,300,247,392,215,996,590,450,727,840,515,594,492,466,079,827,713,485,083,
756,826,561,499,181,322,214,071,910,494,934,741,224,691,273,050,502,367,257,
771,479,490,212,907,928,550,993,255,440,944,600,387,613,655,262,471,646,475,
089,054,281,873,597,938,964,198,996,021,873,442,296,804,842,339,239,788,714,
710,164,568,199,154,872,539,850,707,995,775,525,022,546,516,909,470,131,092,
267,744,257,196,274,128,915,979,022,210,990,164,719,745,676,469,367,166,504,
320,179,432,301,320,051,106,615,230,033,859,630,053,928,260,454,199,250,077,
833,318,361,131,516,912,663,351,948,825,978,042,992,157,294,195,404,505,495,
680,863,738,567,651,651,094,676,372,792,010,546,828,117,141,006,383,766,777,
014,786,133,327,287,200,874,354,313,886,695,407,072,579,195,786,698,623,129,
766,619,666,295,356,842,138,727,066,570,802,439,184,299,714,981,348,723,346,
816,810,858,489,910,804,215,593,666,461,808,229,776,288,423,983,612,979,386,
592,522,692,514,876,389,009,305,243,266,318,850,232,146,719,438,502,832,893,
914,736,495,544,700,634,167,142,383,406,425,703,388,797,050,563,327,860,924,
380,709,695,201,225,095,903,324,182,316,214,979,050,427,338,831,846,260,312,
931,713,336,859,380,775,848,052,785,496,346,057,915,556,654,782,415,593,099,
770,110,172,999,507,695,789,144,202,641,281,421,841,654,147,006,256,553,291,
492,071,128,163,837,170,104,288,685,050,540,738,657,929,555,590,880,822,115,
018,582,851,314,260,592,070,025,183,098,418,488,196,184,215,825,378,406,981,
170,112,774,140,193,470,323,887,621,285,188,676,859,482,200,037,391,264,880,
018,615,652,901,804,962,116,197,560,328,902,116,291,165,909,489,171,895,037,
998,657,327,265,387,599,737,249,771,656,701,965,041,717,944,921,635,013,658,
038,225,965,650,124,621,908,765,544,691,705,877,810,157,405,909,349,857,202,
981,250,499,646,626,682,644,230,260,276,158,118,076,960,501,814,469,984,042,
493,534,775,215,636,254,302,531,795,457,765,328,597,647,664,403,831,093,770,
012,122,154,912,373,506,724,912,506,342,425,581,904,312,795,887,389,140,783,
661,200,140,158,734,385,833,511,644,674,199,717,880,118,813,711,436,029,309,
701,801,484,176,081,696,059,607,775,064,045,488,972,753,150,273,692,473,371,
955,092,823,124,575,651,657,378,036,749,342,487,272,408,403,130,026,361,883,
233,247,214,379,022,702,655,194,386,476,970,278,761,522,014,279,712,681,761,
684,053,214,128,243,189,519,218,331,144,797,757,305,435,746,547,610,690,808,
125,559,612,940,670,782,437,460,101,388,007,081,193,960,960,498,281,203,270,
489,342,180,808,933,116,808,377,866,647,951,947,058,791,863,190,869,859,648,
813,730,698,986,499,620,405,816,378,468,585,095,950,315,782,974,032,668,600,
852,003,916,994,120,994,669,679,296,763,822,031,590,213,273,947,679,296,311,
195,827,225,121,265,499,810,570,286,902,470,027,612,663,555,136,929,725,639,
728,788,079,536,472,900,161,697,588,375,968,991,808,572,642,236,617,176,079,
231,905,502,929,058,847,858,647,003,611,559,283,491,663,741,525,206,506,637,
011,809,655,567,665,590,605,801,368,566,153,133,257,614,777,206,197,479,681,
291,293,328,529,589,004,763,531,169,945,803,389,925,827,852,483,959,897,938,
348,958,777,927,309,053,208,507,637,261,414,363,658,730,708,264,839,492,202,
896,559,978,260,321,898,144,222,054,310,443,673,560,066,093,025,421,166,605,
076,632,333,633,182,002,304,952,218,488,851,106,166,892,913,665,842,819,115,
653,600,312,020,443,920,566,387,274,667,925,939,891,941,925,668,136,127,353,
982,453,424,015,769,856,873,973,813,405,522,628,633,805,655,921,313,621,512,
213,622,912,480,557,044,606,421,417,839,680,996,364,507,037,792,998,328,121,
977,697,013,015,554,164,833,078,813,685,339,792,208,655,715,329,413,038,084,
134,792,744,573,380,538,149,419,684,966,197,549,268,798,952,856,255,471,268,
715,031,650,213,099,505,276,093,027,775,342,077,883,329,161,857,427,260,647,
102,146,282,046,116,738,667,371,088,064,773,269,891,357,953,879,714,493,794,
770,513,727,583,300,122,372,757,617,683,471,445,932,862,691,151,766,057,652,
601,389,438,503,455,072,280,382,839,092,864,468,159,634,537,193,180,889,814,
620,971,770,796,844,940,987,347,385,082,460,967,799,955,762,283,705,762,681,
235,655,145,531,619,835,825,357,481,451,899,730,964,351,957,613,785,561,134,
306,206,671,762,604,817,812,781,282,563,708,454,531,517,318,536,447,040,138,
606,875,904,744,836,463,324,966,750,835,846,589,956,243,466,460,796,858,113,
311,016,854,352,037,011,190,857,756,930,613,812,007,458,411,542,234,540,099,
359,821,126,267,527,126,248,994,794,721,564,435,152,816,833,164,987,164,272,
880,499,361,655,830,098,474,262,716,875,742,801,907,370,473,259,595,085,197,
716,579,048,288,500,706,124,900,101,369,079,490,806,698,885,850,062,885,945,
027,568,631,647,299,629,736,619,300,877,522,893,803,211,159,039,242,039,617,
332,614,182,328,082,180,847,935,575,637,105,308,605,660,950,899,835,662,862,
854,535,518,839,185,963,810,128,677,091,986,614,501,085,839,210,864,601,646,
397,472,613,562,563,812,361,507,884,142,197,801,921,943,144,236,598,433,187,
874,283,860,603,734,126,949,688,806,449,750,602,167,632,861,400,026,292,234,
208,024,647,897,107,619,257,096,340,296,028,804,902,347,518,673,681,566,097,
862,249,486,579,951,817,217,815,027,757,760,205,515,010,937,634,649,080,230,
520,221,915,848,364,607,169,165,116,073,955,916,933,836,371,008,221,973,005,
730,177,134,751,285,159,135,832,224,528,465,060,949,633,984,806,987,675,743,
397,359,819,964,127,963,565,889,407,692,742,739,121,351,616,636,669,546,752,
031,284,374,268,093,899,816,083,809,766,169,293,009,216,251,788,747,756,701,
300,550,254,416,394,779,987,159,505,909,276,550,165,761,981,793,272,666,876,
618,246,833,014,869,703,114,663,773,283,332,592,756,351,531,898,062,064,277,
561,408,360,205,370,165,263,450,079,905,633,477,001,231,286,921,678,001,912,
810,496,697,426,953,994,646,049,700,625,544,695,988,226,179,233,996,584,299,
010,832,403,045,316,228,590,310,357,056,608,846,911,930,776,746,140,091,675,
173,575,349,340,217,283,416,195,379,268,890,966,516,154,981,024,296,127,244,
254,499,733,357,783,290,353,647,894,334,837,480,602,591,988,651,585,111,673,
654,930,086,655,079,213,170,140,499,794,979,999,171,559,271,323,594,891,026,
882,378,471,127,387,121,501,083,070,959,278,148,945,765,479,799,311,426,715,
804,428,700,230,451,731,827,090,928,550,562,116,214,193,511,380,715,630,101,
754,804,892,000,378,707,475,302,764,663,856,581,168,008,694,818,306,554,920,
331,315,719,987,923,194,012,697,289,640,894,485,241,488,868,766,051,813,973,
945,938,970,425,297,978,520,209,720,176,773,637,025,640,668,684,413,222,941,
516,842,473,403,988,266,200,096,600,929,944,611,309,360,361,475,461,525,221,
987,732,261,059,513,084,849,196,211,973,226,547,194,154,834,009,717,899,259,
924,809,231,333,533,435,702,925,167,427,849,851,135,565,290,799,956,345,137,
313,566,592,264,361,628,216,365,820,303,144,066,163,188,986,957,668,510,330,
399,047,023,423,304,786,649,611,562,538,884,365,913,760,438,470,600,694,528,
578,716,302,930,793,492,892,587,494,529,703,894,984,344,568,930,379,038,547,
436,015,125,445,178,540,234,947,782,525,879,697,813,218,776,776,189,816,736,
054,943,469,367,878,004,392,788,475,605,487,226,628,061,563,449,879,693,364,
067,605,032,981,543,406,578,663,390,192,921,761,147,214,037,530,205,512,704,
318,328,572,791,874,543,745,665,531,712,695,161,452,469,949,769,242,264,532,
066,748,041,919,647,520,175,482,347,257,739,394,711,723,335,325,989,444,878,
148,110,429,380,361,521,386,548,002,788,557,296,329,599,930,259,600,585,620,
143,212,291,419,768,461,048,572,418,168,579,345,497,874,023,376,591,852,856,
110,049,094,119,442,121,390,359,905,280,633,031,957,743,192,782,831,557,503,
934,735,799,013,489,305,838,915,231,463,531,531,583,788,008,828,341,095,565,
798,672,928,643,959,447,002,084,366,392,615,084,478,846,838,403,712,288,022,
904,880,783,917,440,025,296,165,183,672,686,602,419,735,688,733,558,780,846,
903,539,400,379,456,241,223,074,623,580,634,636,325,456,906,615,533,988,876,
732,585,917,361,949,693,601,690,438,104,000,974,179,996,817,459,376,074,172,
391,970,712,455,092,549,027,934,830,823,384,059,482,607,348,916,260,118,289,
485,267,912,306,124,878,335,921,003,117,209,564,423,529,991,475,582,235,651,
755,621,652,342,756,712,148,175,458,598,481,587,756,223,735,502,533,356,774,
519,499,097,990,152,464,715,731,565,940,870,876,784,900,957,839,082,102,372,
009,754,673,865,721,083,854,464,519,277,036,269,195,901,768,626,542,545,172,
635,226,935,617,818,169,126,158,577,744,237,538,494,111,195,788,819,008,743,
720,679,490,781,260,373,065,057,509,167,853,832,259,537,351,216,320,290,303,
699,592,925,384,323,945,957,916,871,255,036,909,227,088,327,551,340,217,439,
257,140,912,909,075,232,867,388,971,794,129,378,861,952,586,743,099,914,235,
958,745,979,374,608,378,503,331,899,815,475,121,068,911,629,772,347,516,152,
581,598,767,376,949,505,502,520,640,625,503,425,728,367,749,603,932,144,720,
042,627,837,046,809,690,918,180,901,515,197,365,450,647,575,780,679,017,506,
270,590,401,882,314,759,577,162,302,484,533,280,143,628,669,850,518,425,073,
771,506,855,363,898,867,852,930,974,880,178,103,372,760,924,743,007,829,765,
665,157,507,874,031,624,095,969,341,257,117,303,061,447,508,529,641,620,395,
808,242,776,532,641,610,910,528,876,456,232,011,393,717,105,916,413,528,179,
543,932,337,783,987,449,076,384,161,681,557,017,335,361,706,377,359,742,443,
840,764,019,014,948,724,912,040,653,059,886,630,709,152,141,722,504,880,635,
382,080,650,887,781,141,137,830,024,947,871,709,793,546,535,377,864,576,827,
423,686,364,140,895,459,904,433,210,609,450,129,204,021,846,328,647,231,191,
544,422,639,952,157,562,218,657,494,857,659,148,759,581,755,820,424,627,697,
751,625,085,286,675,600,411,991,965,766,926,886,674,275,026,609,197,542,806,
757,570,519,829,708,299,702,758,091,964,039,022,571,971,158,262,182,448,582,
725,981,481,233,968,863,438,851,082,845,877,034,854,120,903,814,408,328,206,
592,268,663,086,235,796,266,032,896,539,372,525,635,656,005,691,544,004,643,
668,071,818,848,666,644,535,517,460,288,475,939,332,252,477,945,116,211,974,
064,173,290,235,152,016,704,300,024,637,923,832,245,034,805,555,394,370,644,
728,496,416,910,731,354,738,132,310,532,006,106,970,246,300,812,924,119,763,
421,505,136,574,443,005,956,481,765,031,746,929,315,369,410,763,524,153,565,
920,722,561,594,872,344,692,760,220,662,248,980,774,981,343,400,155,649,356,
201,959,125,600,336,927,741,307,593,338,070,566,767,891,887,851,193,383,629,
221,242,803,881,590,683,157,240,272,604,312,927,205,737,795,312,442,518,076,
058,024,409,067,858,694,858,134,414,465,661,095,479,368,497,632,183,222,911,
076,014,658,260,962,986,697,082,055,715,352,984,905,010,277,516,068,499,842,
558,762,057,924,475,950,724,395,761,122,249,731,013,178,242,421,336,647,775,
687,492,039,003,076,259,228,115,998,122,981,742,618,004,879,870,814,507,748,
491,567,918,498,386,547,774,451,337,387,480,387,046,148,850,282,774,451,002,
625,681,484,538,266,361,809,996,229,597,786,094,420,979,486,038,354,433,340,
139,824,616,129,095,456,229,894,866,117,082,532,086,941,676,611,022,770,342,
825,668,538,774,742,482,682,518,000,488,117,716,993,694,619,776,414,195,126,
809,292,695,263,441,208,996,382,479,915,013,903,611,662,300,258,832,365,743,
332,365,684,171,270,006,838,423,272,506,365,550,905,018,536,308,443,291,706,
652,552,180,546,127,552,777,609,842,372,168,106,602,808,132,113,387,548,793,
831,870,204,450,522,086,207,181,924,217,258,348,113,354,657,501,834,844,455,
356,657,494,544,936,887,237,494,782,576,588,745,101,967,996,563,227,233,560,
341,480,933,824,898,858,508,939,982,682,676,434,141,786,316,448,382,159,285,
856,752,122,844,049,791,581,915,225,771,858,852,049,847,915,921,214,270,383,
973,955,293,361,251,355,105,635,071,947,301,374,635,080,316,167,545,483,375,
905,582,098,229,892,967,855,802,383,598,750,058,276,509,818,982,510,224,209,
319,020,483,666,530,169,822,557,151,391,997,629,196,095,796,969,271,248,674,
873,040,991,028,953,204,795,264,472,107,585,669,218,608,222,563,422,261,554,
877,020,899,750,248,563,107,746,911,339,309,630,856,492,288,758,165,541,489,
824,616,675,715,405,977,966,748,513,504,724,645,091,415,225,454,797,933,125,
768,832,542,599,877,381,587,223,354,156,181,225,386,549,053,706,623,184,705,
964,694,431,484,440,369,813,538,870,679,943,499,121,858,931,387,563,133,350,
408,916,975,140,134,621,181,813,724,544,726,044,911,223,819,751,078,378,423,
239,491,957,405,579,819,140,423,547,789,745,275,238,850,627,748,021,708,273,
770,834,740,902,060,998,819,218,584,519,564,095,457,906,083,722,918,795,243,
105,094,006,910,458,611,952,193,528,045,595,980,843,142,884,318,108,868,678,
278,022,529,234,725,045,225,724,387,312,169,129,023,321,541,840,949,663,482,
290,008,653,845,031,100,729,470,090,596,879,914,817,621,665,979,517,138,080,
822,781,126,280,925,014,773,297,630,648,707,035,312,789,780,487,263,856,422,
903,464,148,223,477,094,981,531,053,464,115,211,419,287,266,773,818,882,818,
427,088,242,622,353,528,158,019,330,044,174,567,948,729,375,469,766,622,892,
329,097,620,303,664,044,835,801,064,616,148,869,522,970,922,059,687,135,872,
178,301,064,063,712,994,483,273,037,107,318,032,543,995,755,077,279,014,456,
273,288,392,629,599,456,194,864,361,652,659,497,221,580,216,283,720,262,303,
400,527,592,958,867,347,096,362,307,803,685,708,635,030,423,600,695,397,466,
926,616,933,998,311,218,848,884,503,650,339,985,688,752,734,247,448,464,917,
132,293,411,781,136,157,820,566,226,909,888,849,357,777,968,329,554,678,656,
046,573,873,643,761,858,497,585,600,784,400,063,940,363,235,821,260,129,685,
165,605,927,321,971,504,373,964,917,533,314,181,693,942,580,196,538,334,477,
377,474,898,136,694,185,430,310,295,559,299,713,575,021,988,710,445,171,539,
884,238,141,997,049,491,788,090,323,945,781,809,949,540,197,285,934,637,150,
887,996,005,601,630,889,411,266,601,720,039,263,845,285,789,906,461,785,324,
274,637,700,006,940,191,406,040,231,307,726,071,794,896,149,518,602,102,162,
524,754,030,041,175,388,369,121,647,795,229,488,097,786,484,411,360,450,599,
324,558,155,450,143,400,768,548,602,467,073,415,592,729,542,637,047,155,096,
615,471,866,616,781,252,790,223,792,730,294,574,130,597,747,763,312,812,811,
693,135,292,895,321,585,259,499,999,535,578,044,797,245,853,653,481,160,203,
153,600,824,186,910,184,576,752,252,139,923,194,972,221,207,184,569,242,565,
405,984,854,279,643,385,403,585,416,443,487,726,767,310,945,725,770,828,149,
152,337,880,944,890,507,102,430,387,817,446,129,881,959,518,038,732,959,000,
100,087,981,737,972,798,348,306,943,957,967,774,990,043,827,948,901,266,463,
816,200,488,075,928,873,923,409,351,214,510,460,529,705,789,002,996,149,834,
117,807,735,632,907,444,259,806,626,857,990,101,363,019,038,123,368,537,634,
571,465,897,072,375,707,359,586,089,121,753,535,254,630,533,339,548,925,777,
944,409,210,860,064,888,073,195,264,888,960,122,580,609,104,321,629,129,624,
611,185,104,491,843,915,448,131,948,857,863,526,537,765,391,670,479,208,037,
226,985,737,446,024,143,078,158,874,327,887,930,622,979,888,765,069,357,230,
212,492,402,706,058,104,886,683,377,805,428,317,829,285,332,060,031,977,570,
607,357,537,972,438,201,603,100,974,471,019,837,884,297,939,300,608,881,747,
680,488,134,039,359,716,532,405,074,661,236,007,586,032,518,732,230,630,575,
795,912,348,480,465,578,509,149,906,407,239,879,412,689,735,894,873,199,854,
925,090,302,581,651,583,188,988,511,910,471,447,559,792,683,093,191,419,630,
480,129,108,586,291,801,339,557,414,975,155,912,789,596,944,558,943,487,112,
636,628,660,843,929,678,375,796,080,716,003,752,254,588,841,298,357,210,318,
142,777,035,968,330,938,502,476,090,433,357,724,940,436,717,805,112,767,595,
829,452,095,016,986,295,542,919,955,871,767,790,067,492,868,601,015,099,907,
888,687,295,235,472,342,786,995,834,750,734,831,039,962,517,429,628,215,113,
909,625,901,556,332,668,105,171,196,910,289,745,510,727,692,784,299,033,556,
175,858,560,961,403,210,622,600,650,807,126,379,019,859,646,362,916,071,830,
358,728,745,696,104,315,784,671,833,613,869,058,579,724,243,015,019,183,714,
371,911,848,819,927,961,766,235,858,212,896,588,777,128,272,204,773,749,048,
811,186,899,806,047,762,043,801,963,348,383,111,282,106,648,297,424,078,413,
440,331,063,151,863,740,777,550,103,350,757,346,636,454,444,425,803,832,721,
451,528,976,704,834,649,220,414,842,803,191,180,391,055,725,951,881,096,474,
916,244,418,509,668,809,920,521,526,392,929,973,610,461,293,045,355,045,761,
358,693,072,719,450,070,562,520,572,435,685,732,376,898,759,946,926,089,958,
573,695,475,716,171,003,509,547,350,365,416,144,604,923,086,782,646,402,036,
401,016,677,342,262,596,612,564,723,058,327,139,901,005,198,467,367,417,454,
076,052,611,495,154,738,921,880,151,054,545,764,262,185,106,949,095,929,753,
691,421,832,169,716,916,215,304,602,702,833,459,873,220,003,983,850,390,270,
739,921,702,551,481,082,478,135,670,162,023,106,343,242,125,404,402,807,547,
171,388,197,076,686,873,469,313,256,076,161,589,930,210,930,462,793,945,750,
590,870,705,992,060,842,873,954,367,575,997,348,916,024,277,467,035,160,156,
492,491,997,612,608,261,188,628,460,496,512,701,874,711,790,870,462,698,879,
878,453,448,566,603,238,067,123,957,894,710,308,951,777,772,971,682,179,416,
046,545,628,125,400,183,170,975,798,625,977,886,800,303,438,533,420,734,408,
346,290,168,945,634,279,348,732,246,116,933,897,128,454,947,425,660,475,408,
940,133,680,494,294,838,432,457,605,644,819,147,661,655,153,786,553,171,952,
031,390,671,137,005,503,715,999,798,240,717,332,156,410,493,699,163,528,030,
488,575,487,564,443,318,492,815,984,664,589,452,243,571,128,274,587,733,237,
220,094,076,000,445,697,806,153,321,706,996,982,247,432,321,373,450,465,889,
149,954,479,269,818,306,167,943,168,786,679,336,707,283,965,558,199,037,129,
988,283,461,195,355,147,865,835,385,920,909,210,258,971,366,229,553,352,834,
106,224,833,597,547,508,487,447,500,794,998,611,671,417,674,817,087,683,985,
276,778,023,130,142,486,049,455,426,400,439,360,857,576,684,031,523,404,076,
488,585,748,401,153,360,303,942,964,705,577,811,544,440,639,738,529,001,943,
937,387,700,418,163,660,487,702,340,205,593,730,568,810,685,075,926,149,783,
928,437,182,306,527,309,464,775,265,690,899,774,048,200,082,899,045,024,120,
176,764,613,448,034,021,233,011,350,836,124,206,623,904,201,231,346,649,575,
661,521,056,114,643,355,344,392,223,380,377,034,488,445,152,536,251,377,634,
523,533,448,255,411,928,019,709,484,920,508,936,101,586,128,656,444,333,470,
213,368,886,327,262,697,458,625,551,275,120,976,659,895,512,541,288,205,026,
434,778,850,220,087,948,226,667,803,454,530,127,299,030,150,702,597,921,690,
564,187,439,508,588,583,805,208,818,528,316,977,378,679,760,474,237,573,097,
520,365,485,642,844,930,496,492,533,445,141,630,735,445,370,845,131,288,783,
242,518,400,449,239,029,084,297,828,993,424,751,318,144,753,631,938,250,055,
281,979,061,844,531,030,437,233,466,100,316,652,869,405,733,712,686,773,045,
211,228,795,283,087,369,809,880,825,297,135,723,283,415,282,658,575,117,450,
968,425,955,144,726,514,038,223,401,794,614,353,054,037,300,249,448,711,079,
483,173,832,831,828,181,623,863,028,461,152,665,381,593,894,868,206,124,148,
265,203,039,448,124,941,278,494,231,543,303,479,871,815,291,679,350,343,999,
504,834,979,590,913,398,978,456,566,430,291,257,466,207,814,232,646,434,113,
882,336,053,545,161,802,902,280,357,690,887,994,245,412,508,176,233,496,005,
846,540,927,723,047,529,215,772,604,917,888,294,203,597,618,527,143,266,660,
352,963,761,056,230,628,010,235,939,805,039,657,958,330,759,359,380,825,332,
742,067,726,385,775,539,437,367,045,213,362,672,105,020,117,545,901,051,183,
773,522,630,955,740,342,936,036,343,105,426,719,400,409,272,462,304,332,189,
750,204,574,512,065,076,664,074,346,045,113,780,391,113,169,247,233,889,220,
031,383,532,014,967,493,765,391,183,228,489,635,797,560,877,985,290,614,190,
976,017,315,329,215,381,958,554,772,580,154,740,149,707,695,476,945,241,589,
242,934,542,117,995,816,460,268,999,622,632,890,512,399,812,199,805,431,641,
926,060,895,692,383,650,949,907,338,190,199,438,932,646,848,202,048,058,763,
756,371,366,301,574,302,450,877,015,653,604,986,188,638,798,317,308,393,584,
602,585,663,359,693,548,024,033,391,815,185,407,475,321,872,769,823,659,555,
104,051,092,234,497,677,064,237,420,604,554,188,001,702,048,243,524,594,274,
169,454,194,495,712,065,472,021,453,619,968,382,770,057,527,409,164,975,470,
567,366,704,209,207,529,120,056,163,601,956,251,192,359,059,753,864,519,571,
159,721,456,157,443,464,127,173,857,977,069,305,314,943,665,867,489,356,303,
758,156,333,349,048,921,606,931,564,860,184,846,367,304,177,842,158,407,622,
810,859,015,601,672,157,073,423,381,550,747,479,599,717,323,307,055,333,620,
855,815,131,595,230,356,162,990,245,830,845,544,302,154,021,135,096,133,467,
935,947,960,768,615,760,054,623,993,186,082,815,886,300,413,356,229,402,744,
486,355,289,143,730,205,771,274,647,238,375,210,599,674,376,754,843,973,251,
414,652,658,880,644,898,906,271,131,862,048,138,588,676,812,282,235,630,929,
706,037,060,157,538,534,877,234,647,829,847,779,234,006,040,159,008,868,453,
433,123,166,064,693,828,839,603,069,995,322,322,664,952,324,143,959,943,755,
737,569,671,827,026,393,103,028,377,131,330,427,005,304,541,112,381,305,904,
510,837,636,074,397,792,721,550,156,818,905,616,615,349,395,385,148,433,605,
599,019,596,402,119,237,135,315,613,706,037,166,243,421,766,070,693,553,078,
909,080,639,964,362,957,636,322,415,595,514,226,656,730,549,900,216,026,437,
953,070,540,349,496,398,795,509,712,271,731,954,732,927,980,191,654,028,510,
608,051,988,843,666,318,578,808,593,389,401,010,265,571,784,919,712,877,985,
642,232,025,047,007,141,466,123,042,797,171,895,142,054,042,422,171,700,903,
974,134,716,477,606,176,388,898,149,809,208,221,768,677,082,496,182,265,018,
425,244,233,534,167,788,100,533,593,797,097,631,077,313,431,042,883,446,987,
245,771,774,589,866,217,002,010,445,964,624,020,298,574,430,193,894,634,153,
818,380,137,164,292,975,189,806,787,381,656,207,564,380,221,982,950,138,841,
999,584,586,490,687,481,503,616,609,811,538,237,630,796,765,233,058,119,640,
187,007,045,257,403,657,391,323,236,884,943,386,372,764,463,765,385,391,035,
937,237,056,226,139,913,453,596,039,374,533,311,337,151,337,168,488,633,160,
261,130,393,428,346,549,749,779,838,646,411,489,867,839,693,832,091,495,948,
164,035,872,539,000,962,372,235,122,592,597,179,251,203,687,255,974,124,910,
979,447,591,855,747,479,599,816,963,743,549,238,596,071,966,022,789,631,522,
621,728,983,378,098,818,122,591,503,066,170,150,909,628,572,716,189,524,465,
535,449,640,026,583,787,997,294,288,739,078,988,850,048,414,270,981,433,349,
584,176,534,411,980,308,980,972,864,222,391,427,901,362,251,437,994,138,331,
362,720,060,217,373,536,624,315,739,801,094,433,787,197,939,490,866,796,659,
616,322,279,546,526,168,698,551,211,109,955,221,598,167,597,095,566,623,610,
090,151,888,104,796,822,484,080,256,129,664,247,866,201,021,591,142,285,445,
850,282,127,224,483,607,255,953,808,469,544,556,084,641,583,513,648,822,907,
005,290,798,112,820,672,103,194,526,712,682,425,731,207,768,199,214,312,943,
512,758,380,944,430,317,329,742,533,690,799,546,498,052,068,757,519,698,743,
198,353,967,278,997,944,901,373,745,166,887,691,553,455,337,130,931,023,798,
647,911,435,815,099,393,381,701,103,927,227,220,849,117,008,105,453,982,268,
251,323,278,179,528,798,392,259,771,639,172,666,759,154,686,046,242,408,499,
281,889,905,192,933,366,599,482,424,415,958,500,336,907,871,209,073,956,021,
001,976,473,374,153,293,786,231,194,752,746,239,308,012,826,564,163,375,641,
547,108,176,603,236,264,820,192,910,130,525,563,414,593,796,855,780,419,836,
914,269,089,389,879,498,802,735,873,664,230,151,097,968,045,648,456,750,092,
654,046,940,174,049,872,402,089,450,802,416,501,770,124,232,379,200,296,091,
696,941,491,147,752,713,896,528,998,012,642,457,916,355,846,555,261,393,331,
350,197,687,186,085,814,633,318,370,268,652,238,908,815,387,802,058,103,793,
611,764,709,221,367,417,902,878,573,112,666,727,754,876,045,727,036,762,105,
007,803,817,355,517,868,077,301,331,815,609,442,906,774,126,764,092,685,639,
403,293,802,531,567,480,257,262,864,482,375,857,129,633,897,441,081,001,281,
845,190,121,698,792,286,423,638,073,480,649,894,093,839,438,872,182,626,607,
243,557,988,082,424,656,220,769,324,065,246,490,384,482,144,792,066,181,505,
336,591,430,561,098,171,385,449,489,431,104,012,530,992,881,478,990,984,213,
764,104,332,291,441,042,332,635,534,973,744,832,510,321,415,327,304,750,607,
956,884,316,337,413,366,686,341,762,218,045,431,319,875,022,444,974,825,547,
252,445,174,358,200,458,001,032,548,057,226,945,435,736,925,627,293,577,386,
386,651,400,053,845,102,961,022,793,961,676,631,870,046,722,262,078,997,493,
535,770,869,955,383,236,953,389,187,954,568,341,852,955,755,622,890,751,837,
581,849,922,770,363,243,239,669,059,164,553,480,353,238,272,215,507,400,221,
804,350,469,865,610,562,146,643,368,890,428,208,409,458,369,114,641,105,090,
477,904,058,398,633,391,967,486,396,229,685,169,884,018,279,878,341,820,575,
487,184,308,238,511,811,453,670,469,206,082,200,799,934,113,239,126,748,995,
324,517,251,315,029,136,002,009,471,241,061,143,802,056,009,823,724,854,554,
296,565,674,766,741,521,744,322,994,687,296,085,462,132,887,454,376,696,602,
419,518,763,868,421,343,928,984,401,381,359,146,400,672,619,592,825,561,602,
187,664,630,194,459,053,750,833,126,348,177,451,732,770,560,017,458,562,191,
512,400,258,029,815,245,573,766,837,079,375,156,646,534,214,079,811,412,286,
600,160,193,002,420,302,313,142,076,827,578,303,667,686,574,647,158,356,743,
666,672,893,622,999,105,247,754,307,266,928,161,451,878,681,700,835,042,829,
429,410,810,385,757,130,165,974,166,499,175,583,377,022,745,779,261,979,241,
039,528,031,618,125,410,024,782,547,815,941,628,568,796,320,232,034,352,122,
610,919,778,330,749,094,543,503,517,507,025,433,355,862,252,727,925,925,602,
146,873,866,313,437,201,777,680,840,349,652,829,688,386,427,341,637,969,618,
653,603,013,692,715,484,583,257,577,668,939,140,578,743,130,074,525,164,873,
459,063,025,244,363,163,381,486,998,718,056,229,275,170,678,270,881,134,576,
823,381,640,980,137,015,356,009,166,183,390,688,264,882,591,439,882,960,405,
603,135,996,844,158,830,204,640,366,545,668,835,143,358,630,095,456,024,407,
846,598,215,331,350,012,258,952,264,473,083,739,112,040,785,365,041,101,182,
771,663,332,944,950,529,731,129,972,380,565,191,819,475,782,612,172,370,285,
632,702,201,106,883,060,176,779,474,357,643,566,088,661,534,676,053,080,238,
080,843,492,158,790,907,962,615,550,553,572,031,612,776,816,211,523,785,362,
185,133,375,577,209,705,224,981,043,141,122,214,191,621,995,714,119,628,803,
408,486,465,100,623,927,376,375,627,889,557,287,334,954,138,729,330,554,947,
707,414,883,707,508,953,926,093,993,403,508,816,509,994,888,214,437,496,464,
850,686,389,798,984,952,687,254,921,057,554,556,648,549,990,787,018,137,891,
566,029,509,590,443,338,067,390,164,533,788,058,915,849,419,339,014,524,690,
742,005,407,167,510,512,047,400,230,788,141,841,695,225,594,191,079,127,489,
547,780,776,380,338,743,175,821,496,810,059,452,349,543,193,499,788,824,747,
088,149,746,961,250,420,758,511,267,979,989,766,540,384,404,706,038,204,229,
910,695,703,441,232,913,896,790,077,391,302,887,938,565,151,828,125,298,424,
318,528,580,163,371,451,039,399,231,751,982,762,029,010,511,899,869,519,120,
129,493,511,457,867,607,445,931,905,835,759,604,642,568,222,807,585,064,930,
332,780,922,818,365,620,007,740,916,369,774,950,460,452,404,465,980,356,245,
124,160,735,558,736,887,818,535,597,941,764,773,071,775,434,320,394,222,495,
003,430,305,929,571,572,485,969,127,078,421,751,908,812,390,991,827,788,678,
313,770,379,985,663,028,569,014,265,161,572,793,663,440,260,842,720,481,516,
269,814,533,214,075,145,157,196,428,175,885,857,963,547,434,835,107,113,860,
210,837,989,205,359,634,504,307,002,765,204,877,721,075,158,825,704,172,486,
335,788,003,022,143,963,732,295,777,329,051,046,754,550,400,694,414,091,446,
008,339,075,436,855,932,013,154,306,888,997,126,368,776,374,408,181,998,662,
859,930,033,521,343,833,551,572,233,713,826,002,868,893,863,316,607,344,422,
150,033,910,339,589,739,379,883,262,742,013,648,837,398,066,626,337,972,220,
493,179,844,047,358,364,543,978,665,547,137,674,239,035,667,862,672,028,542,
637,250,016,954,223,329,153,394,183,650,328,245,852,280,769,969,461,024,532,
436,643,432,771,561,503,619,976,403,591,150,205,319,119,489,127,769,299,174,
455,883,545,481,632,678,910,173,637,574,454,541,080,390,538,109,382,923,410,
621,755,180,159,051,733,159,314,922,878,036,430,807,510,736,584,202,844,837,
265,987,619,796,427,527,975,614,633,590,771,578,176,418,301,422,486,199,588,
982,058,507,292,753,281,881,127,774,098,726,221,978,702,567,451,795,114,821,
150,647,086,555,981,658,583,691,300,891,456,897,382,945,423,098,837,665,567,
394,905,571,375,408,792,541,024,985,296,131,006,194,777,674,114,634,549,444,
663,444,115,393,680,862,162,462,407,595,370,106,699,640,179,571,066,458,350,
198,112,233,622,172,333,699,704,167,571,046,009,428,154,463,247,588,545,534,
077,644,171,096,003,744,838,964,484,225,378,645,774,074,894,869,694,796,222,
172,248,743,809,004,498,151,242,337,230,155,168,039,641,977,076,293,150,608,
572,897,492,544,257,342,405,699,554,140,692,983,932,593,836,665,707,882,138,
986,647,625,672,146,684,659,439,205,609,318,335,031,283,559,286,788,573,651,
049,649,335,545,809,452,099,819,608,532,897,265,664,252,251,376,755,492,386,
417,011,601,551,011,337,221,230,050,711,094,279,492,477,840,533,698,953,207,
272,007,778,258,378,928,713,593,506,414,792,158,183,575,942,498,236,627,505,
217,411,546,321,990,472,097,485,127,437,415,680,088,883,874,766,867,015,056,
259,183,876,968,973,381,849,749,177,767,259,683,909,695,492,664,012,942,336,
431,265,215,721,101,208,447,232,694,040,456,520,927,098,001,534,516,628,606,
617,877,372,176,760,889,178,414,736,126,161,946,559,511,712,423,337,217,529,
135,995,895,696,825,996,718,395,197,142,460,931,314,580,380,044,505,587,098,
954,349,341,483,260,778,618,677,576,178,808,339,169,310,651,294,802,491,491,
905,896,281,232,053,750,925,618,315,951,545,993,690,439,216,717,223,600,517,
237,029,701,561,996,516,661,293,753,088,187,966,043,676,078,733,229,402,635,
607,553,561,930,637,099,701,385,584,358,694,703,052,105,441,914,852,237,854,
189,959,863,395,923,153,883,686,722,437,474,350,238,143,546,593,883,761,250,
205,520,688,264,060,534,647,265,708,793,732,234,171,851,121,246,297,801,824,
873,853,244,699,920,076,559,503,799,086,962,592,754,469,607,713,489,803,578,
545,763,335,708,108,919,375,832,061,490,136,376,028,853,382,433,510,112,635,
863,138,790,491,404,728,948,950,100,838,877,615,292,415,013,232,353,700,366,
405,163,674,222,086,891,869,566,095,456,007,373,143,481,600,493,668,472,377,
346,972,148,846,961,577,350,413,839,303,922,305,029,559,905,216,951,951,141,
684,601,879,523,819,374,223,213,107,936,090,139,875,661,788,511,975,345,783,
110,907,701,585,985,632,754,454,097,502,843,603,096,671,116,535,739,453,832,
957,870,373,007,434,534,668,247,609,135,834,617,110,677,386,902,330,363,977,
469,380,963,273,744,371,099,138,975,277,175,926,777,460,028,718,273,157,886,
516,756,723,954,516,173,880,076,184,025,779,537,607,824,062,469,029,602,168,
654,732,377,336,503,704,154,709,436,278,982,264,246,821,676,367,840,296,379,
853,913,765,300,096,101,844,605,658,573,956,693,961,115,191,867,089,147,528,
589,589,831,636,624,934,387,149,226,498,444,222,271,353,442,793,696,806,209,
852,650,132,488,904,060,752,318,322,229,308,626,724,480,420,718,718,475,547,
582,193,800,797,382,805,914,816,117,738,972,725,520,310,141,644,992,132,882,
212,205,162,689,587,233,323,311,315,570,334,724,270,451,615,552,851,453,870,
069,624,736,023,723,882,044,324,773,501,442,099,909,520,799,775,608,496,080,
869,201,121,593,966,276,029,294,043,951,232,794,421,914,191,637,493,790,617,
250,014,227,304,209,581,780,859,734,304,043,122,336,781,260,479,275,020,829,
334,186,409,599,707,654,160,729,716,940,317,702,934,135,684,537,341,215,775,
230,498,893,737,241,977,493,422,901,613,781,780,794,063,395,994,341,431,008,
558,055,484,240,924,752,616,138,968,793,228,373,194,113,655,142,966,501,106,
348,452,271,190,883,219,880,432,923,138,183,048,067,407,968,645,157,882,766,
206,979,365,255,118,796,717,789,647,398,482,836,243,989,351,345,752,572,748,
999,230,777,746,762,874,684,798,605,831,916,575,687,260,474,366,786,066,253,
970,040,327,350,702,766,855,903,203,117,201,489,223,192,235,802,137,168,836,
662,613,687,474,956,080,968,638,016,582,788,929,867,737,807,616,487,693,883,
121,817,020,916,498,570,082,191,973,509,691,683,261,198,222,718,839,754,135,
986,241,896,492,022,949,443,575,239,460,796,273,981,658,102,166,398,202,322,
923,296,331,369,994,309,892,238,334,578,455,757,126,412,533,939,189,224,840,
599,728,288,426,943,250,068,463,231,842,494,699,868,511,761,494,844,495,914,
884,481,151,436,526,867,459,955,451,001,381,423,925,279,938,228,477,528,641,
862,830,468,757,404,143,088,531,338,145,056,109,119,185,818,541,321,708,009,
337,744,261,119,498,173,620,180,492,233,066,447,941,308,641,674,401,218,162,
621,802,714,947,296,319,974,478,184,332,122,733,131,719,384,118,307,719,199,
297,997,205,408,445,936,465,184,627,670,622,211,820,862,489,486,480,816,042,
522,378,407,969,133,157,817,470,618,651,181,284,355,391,438,377,083,763,295,
009,500,607,412,887,731,820,776,863,844,210,490,134,056,618,468,342,771,461,
828,596,528,791,463,735,746,009,437,014,523,556,527,044,730,627,886,275,276,
387,669,297,146,636,551,598,099,436,724,034,520,194,134,601,870,074,358,282,
991,683,218,752,068,543,102,545,099,068,924,858,222,703,866,332,893,549,841,
219,057,232,164,908,673,218,404,522,614,854,489,168,163,819,047,326,412,531,
687,274,971,425,540,567,792,207,220,086,870,431,041,192,502,217,192,337,728,
459,832,058,383,537,711,100,596,031,223,352,480,716,470,218,534,370,567,641,
044,307,223,739,440,418,765,584,439,358,294,870,268,132,356,001,029,749,302,
667,223,376,302,549,873,470,803,158,367,590,970,779,909,270,262,374,821,726,
994,100,008,160,662,024,842,819,442,690,945,881,565,579,509,156,887,983,592,
598,166,707,993,490,390,343,731,828,549,134,174,922,544,451,970,454,711,414,
544,188,968,462,862,561,803,678,686,642,847,694,701,905,228,108,814,123,673,
736,452,310,092,796,272,190,754,461,759,854,740,791,069,319,561,996,182,735,
461,449,583,353,361,928,168,326,620,100,694,549,509,221,128,962,652,272,373,
729,751,473,125,674,278,518,908,189,298,331,708,142,158,736,493,890,914,423,
082,061,797,298,411,083,589,365,866,553,309,757,356,855,095,938,719,370,935,
766,048,159,876,585,842,519,484,285,648,845,957,322,607,167,309,334,858,018,
909,199,797,291,829,822,043,093,375,897,742,308,082,752,703,178,915,132,396,
132,972,509,297,085,510,933,688,819,366,044,686,365,752,227,361,019,837,815,
572,990,705,954,134,334,216,121,689,148,333,838,903,286,006,849,611,290,666,
482,057,151,315,080,470,476,818,675,530,140,897,729,093,746,558,630,840,864,
257,924,186,144,614,119,687,425,847,562,723,599,641,301,813,429,918,506,028,
475,443,352,259,929,440,574,736,625,719,707,791,127,892,685,773,144,967,248,
566,107,320,674,959,840,880,341,003,721,319,812,047,561,703,284,912,653,799,
193,102,946,597,762,737,184,310,007,579,308,403,433,612,949,398,299,243,213,
303,894,858,369,638,238,885,994,662,447,193,946,891,390,246,567,980,157,504,
514,318,178,627,343,116,050,819,132,531,894,277,713,215,608,069,383,255,960,
467,697,392,024,680,532,487,793,864,186,838,150,489,852,819,871,355,114,087,
867,039,865,951,905,534,196,965,401,809,136,307,892,711,675,973,553,944,210,
006,568,328,982,540,867,392,891,278,353,924,874,543,662,236,573,189,398,225,
432,503,676,189,982,761,673,446,518,796,332,920,017,187,398,244,265,837,318,
647,970,211,653,070,537,678,647,735,655,674,922,303,391,647,916,475,347,521,
366,888,467,538,245,499,042,315,634,837,316,693,883,340,689,378,401,340,012,
821,133,788,194,854,675,993,133,750,589,611,902,642,247,702,469,164,006,825,
515,655,118,899,262,574,550,122,172,620,418,773,228,034,434,348,281,774,880,
663,599,359,202,032,397,518,970,336,785,342,434,941,606,688,520,785,570,296,
226,214,174,433,714,146,775,206,414,298,581,777,689,795,347,548,224,982,219,
933,653,733,905,762,233,513,400,231,609,816,458,972,741,592,799,740,374,358,
829,711,224,772,636,851,876,786,480,732,027,083,111,402,032,644,836,795,424,
603,276,422,525,173,038,094,125,810,391,146,921,329,341,522,495,583,171,031,
432,090,204,123,474,263,392,356,993,213,987,770,363,230,606,664,106,001,221,
359,224,679,087,718,899,569,286,064,190,553,345,225,153,529,916,131,204,997,
864,947,892,506,983,622,277,562,768,836,303,781,944,781,797,574,414,961,172,
547,010,539,365,349,210,896,463,829,303,931,229,758,219,183,987,793,103,529,
703,908,966,236,945,449,526,168,659,311,613,327,675,838,699,247,095,952,010,
414,493,742,437,533,673,186,097,816,700,875,345,734,580,449,892,666,686,188,
695,040,771,818,647,263,617,127,255,727,762,608,938,752,372,873,311,867,337,
568,698,325,366,602,535,561,937,184,938,708,420,912,272,161,451,058,680,340,
520,056,714,286,762,594,451,510,331,800,777,346,580,241,636,732,334,286,481,
595,743,829,571,786,450,409,749,889,098,077,992,411,527,602,933,967,286,674,
583,208,453,714,903,960,340,682,520,724,746,240,582,612,903,779,054,844,762,
303,316,216,887,199,495,181,513,070,732,907,059,770,529,934,817,522,523,123,
734,853,289,479,990,826,649,552,739,523,230,853,443,908,672,830,873,689,460,
140,821,412,698,835,709,735,508,827,959,395,090,887,022,451,555,039,878,477,
439,350,556,231,212,281,337,682,371,449,608,676,215,047,371,412,125,820,619,
738,281,507,741,948,620,273,384,673,118,976,168,802,519,593,230,839,388,442,
946,058,495,684,533,148,413,016,883,919,854,582,200,030,075,983,956,059,282,
238,938,553,363,920,998,982,157,824,753,279,364,391,395,325,443,024,403,727,
311,625,676,532,441,668,302,143,742,799,015,902,881,237,178,422,298,617,392,
496,693,592,738,209,500,221,694,608,443,999,102,695,312,581,495,982,034,148,
241,720,947,356,555,832,802,267,017,424,573,600,155,308,656,433,206,119,773,
699,658,666,633,803,192,162,284,001,579,322,089,999,239,593,382,120,981,194,
167,795,981,380,537,882,889,408,421,876,351,135,926,217,827,736,225,213,129,
363,155,917,230,520,570,205,025,720,564,887,517,468,196,849,436,674,244,122,
032,965,755,675,354,137,822,662,929,988,171,246,452,607,737,739,645,540,751,
868,527,541,895,080,063,581,113,573,391,552,020,712,578,284,237,246,031,487,
885,891,649,159,113,574,635,843,845,696,578,623,026,097,193,917,641,375,348,
911,084,858,943,684,511,562,445,961,906,368,577,385,804,600,299,632,595,650,
702,840,271,827,686,143,250,896,606,412,239,395,375,099,685,171,538,173,843,
964,384,773,315,155,186,254,858,127,205,249,642,476,299,174,340,901,202,899,
789,911,019,990,771,953,517,154,297,017,175,912,243,066,156,417,521,099,195,
403,224,998,774,774,096,503,473,403,112,228,951,948,825,447,647,287,645,727,
235,454,025,497,067,839,368,161,721,554,243,355,620,033,599,385,362,134,570,
297,876,045,900,313,760,083,000,904,770,043,928,184,847,158,688,670,941,030,
958,725,951,002,564,179,782,551,715,754,286,368,811,834,145,878,498,998,910,
586,155,810,435,498,339,159,335,678,045,581,607,844,427,662,519,465,008,410,
663,596,188,144,161,930,401,926,260,512,280,349,134,481,624,787,030,450,130,
326,556,127,780,661,379,960,560,363,684,203,054,105,167,359,159,989,109,304,
484,984,425,230,638,190,856,629,700,997,041,368,210,185,957,530,731,618,504,
767,242,836,514,412,945,066,982,683,400,529,105,045,274,010,730,144,579,457,
285,301,223,583,878,856,301,680,507,908,206,914,922,007,169,051,116,109,960,
744,995,762,062,430,129,481,166,492,648,974,067,901,689,279,117,194,985,423,
421,856,130,488,771,950,214,434,739,035,103,531,876,430,534,179,003,488,177,
985,249,373,422,060,228,838,325,678,243,601,042,370,937,786,136,709,406,185,
506,128,053,546,650,967,182,584,793,073,330,462,387,035,850,410,942,668,809,
768,893,774,086,409,479,277,405,886,865,293,486,731,578,099,458,251,228,783,
013,433,183,452,046,098,254,793,436,273,395,723,478,117,670,518,150,489,505,
487,544,033,116,874,133,872,617,124,299,811,014,669,181,168,758,245,765,260,
639,837,975,565,997,535,615,276,859,366,725,127,041,295,633,831,914,730,875,
064,741,102,948,699,583,070,795,245,874,575,125,895,830,933,345,427,773,987,
871,064,305,825,160,205,674,148,543,654,539,377,005,487,998,986,580,855,301,
577,088,739,553,375,739,197,074,460,553,952,499,032,780,694,909,313,311,941,
996,434,878,770,049,279,238,163,129,129,475,458,455,979,526,774,532,516,944,
707,573,184,014,509,664,995,885,977,639,712,375,007,688,541,661,131,221,931,
113,165,108,205,220,615,843,337,452,415,474,881,818,384,927,031,325,246,385,
425,117,106,608,228,687,561,990,968,309,085,479,292,628,771,716,119,126,357,
060,796,903,817,295,009,240,877,163,382,775,537,054,655,159,539,020,422,916,
811,842,076,772,983,160,200,259,557,396,776,461,742,016,203,833,740,540,741,
701,544,415,977,269,910,640,375,044,787,611,677,526,302,204,952,257,839,583,
950,465,758,013,210,158,136,562,912,803,621,478,035,462,275,042,393,853,424,
198,391,969,656,673,596,899,679,678,579,956,026,591,444,715,067,389,496,010,
574,517,635,476,805,919,887,188,897,473,062,437,360,116,665,833,615,702,683,
375,085,218,851,827,890,178,022,043,772,707,115,258,372,993,158,889,704,589,
830,466,485,288,308,202,424,309,123,282,126,932,313,171,935,445,031,389,064,
731,373,844,822,966,221,376,524,749,903,767,920,706,740,687,420,429,883,786,
306,964,878,967,448,771,748,742,030,368,452,523,487,948,941,067,223,316,305,
213,895,519,212,852,309,066,129,928,731,107,746,657,622,990,548,514,286,140,
850,299,521,072,644,404,879,525,434,056,833,362,243,319,762,219,579,680,586,
305,476,897,864,187,003,332,101,498,167,907,697,186,224,455,508,319,266,474,
308,052,177,225,065,510,980,162,628,661,178,237,386,413,989,241,713,489,497,
343,152,702,163,635,903,045,999,783,990,662,434,480,312,823,410,770,724,152,
805,372,797,717,902,569,613,054,361,140,686,376,164,960,977,373,292,436,661,
854,035,590,522,610,270,496,491,608,795,022,846,689,065,200,410,086,204,838,
845,768,089,212,952,304,734,074,004,680,128,561,429,830,152,266,899,177,421,
683,660,757,757,678,313,803,360,315,479,240,355,366,157,767,828,586,698,731,
108,169,399,982,652,664,680,338,309,548,920,033,001,339,462,081,316,987,335,
043,842,724,816,990,198,456,089,937,084,428,376,303,678,850,352,760,830,678,
460,554,373,175,088,885,568,979,159,259,774,123,375,152,726,547,993,674,838,
984,740,029,281,626,405,728,303,826,645,072,287,926,636,130,882,772,478,307,
833,785,800,343,171,900,886,723,412,552,633,627,419,882,066,215,863,813,010,
567,296,712,999,975,803,444,531,102,511,108,681,931,959,601,987,705,345,737,
862,541,835,000,446,610,000,842,052,113,938,846,271,495,175,502,967,886,058,
384,601,717,473,542,224,896,525,850,813,418,992,809,030,614,088,996,972,516,
265,106,121,290,942,934,316,926,543,393,206,354,975,182,653,989,805,633,082,
945,365,666,063,948,927,234,717,452,288,060,799,099,522,280,883,079,184,655,
091,909,902,267,656,788,482,187,662,213,615,525,870,767,996,221,513,502,248,
052,598,579,071,128,652,041,695,794,862,196,901,976,633,768,243,267,848,441,
205,051,432,698,983,802,821,523,567,815,355,282,150,192,075,742,740,519,076,
737,369,149,476,729,646,118,701,943,481,455,765,893,057,116,796,743,761,927,
832,362,307,302,125,161,176,551,095,636,717,257,921,525,767,423,327,394,848,
011,879,162,525,268,225,891,457,967,532,319,955,588,878,995,006,093,298,500,
235,810,128,900,093,395,055,176,123,507,152,816,778,737,850,777,339,359,816,
855,471,998,905,338,362,730,420,424,307,108,060,682,337,836,147,485,993,306,
357,437,202,684,075,675,743,194,665,451,414,451,910,305,827,136,543,839,972,
809,893,927,776,114,757,386,968,258,827,737,555,943,656,316,284,357,881,298,
693,764,521,913,466,519,681,774,228,537,282,721,878,191,685,157,880,525,686,
647,838,052,462,506,966,349,665,485,058,932,462,365,596,892,500,633,108,871,
567,738,900,125,489,777,803,228,848,434,361,199,997,518,478,067,710,615,731,
326,209,872,209,277,845,709,395,741,588,419,781,406,613,916,031,435,213,651,
742,737,239,566,808,580,987,050,559,636,090,032,210,214,796,111,851,134,133,
296,482,067,231,000,702,265,577,037,264,836,241,438,368,094,345,867,372,828,
148,121,990,559,415,845,535,683,950,463,448,063,038,207,676,979,029,093,233,
101,716,159,741,689,999,325,507,356,681,010,725,771,885,277,899,743,676,949,
722,282,687,636,633,155,105,584,887,477,565,547,327,851,344,189,451,675,509,
686,606,365,922,101,429,328,746,900,014,006,799,896,337,082,079,566,680,071,
494,718,308,434,496,151,983,129,513,205,429,040,380,011,389,117,176,304,676,
681,584,390,593,907,534,426,676,241,503,407,456,172,011,376,151,387,460,903,
097,655,425,652,386,285,295,734,742,808,282,826,738,721,319,860,634,274,243,
351,248,547,242,707,241,766,571,745,236,502,259,671,755,649,037,761,233,252,
769,653,312,017,086,369,300,218,809,038,811,577,897,420,164,452,987,305,203,
927,284,341,155,267,412,554,630,035,812,716,635,035,215,088,000,543,153,511,
366,375,686,184,157,697,616,479,252,225,015,397,931,897,279,873,622,869,450,
355,189,798,699,600,791,671,776,145,360,812,361,750,547,507,820,043,329,700,
541,492,524,945,098,770,467,951,214,599,416,046,869,109,064,137,357,133,624,
123,109,662,934,907,794,411,532,320,352,282,029,770,794,481,957,605,708,516,
604,475,952,537,487,185,839,846,485,208,930,516,426,036,883,543,453,559,572,
592,497,782,932,238,825,061,950,932,584,766,170,217,077,196,227,674,827,328,
132,927,655,592,266,468,745,551,091,664,150,365,646,274,673,417,380,342,522,
559,058,356,069,168,980,110,542,138,031,896,439,024,082,748,268,239,162,802,
307,098,535,525,863,590,152,035,929,818,072,888,936,310,370,477,229,883,527,
568,815,710,182,309,135,046,133,384,092,854,877,720,566,336,717,386,832,490,
966,259,459,604,756,335,667,447,503,106,549,184,378,970,619,440,821,655,218,
502,417,385,163,386,421,969,356,552,583,748,900,266,081,082,499,188,355,917,
252,537,416,725,352,045,337,059,530,086,346,595,529,336,979,513,639,025,142,
493,229,326,783,705,566,737,226,992,688,111,719,224,562,101,172,370,852,230,
590,697,155,174,689,137,625,282,299,942,400,108,097,485,579,511,139,111,380,
227,042,916,664,225,006,170,198,348,529,723,080,970,923,624,384,787,136,849,
488,094,960,167,032,046,026,871,229,061,242,001,160,532,999,664,129,087,367,
907,221,803,284,370,631,865,469,438,438,109,516,448,022,820,072,646,670,669,
603,571,628,403,350,114,539,312,447,878,169,991,061,224,389,921,100,013,574,
144,883,522,319,178,005,868,885,228,161,995,264,548,555,667,860,212,957,472,
086,558,033,103,945,563,660,335,332,976,621,417,846,314,065,443,025,590,257,
484,053,559,374,914,917,472,365,749,021,614,294,532,922,800,260,140,128,126,
024,893,192,766,922,009,512,351,200,573,028,880,418,156,375,013,281,005,889,
018,001,364,256,932,658,014,791,562,506,822,063,952,662,886,855,619,089,364,
954,185,666,015,895,610,108,326,020,547,177,417,204,255,090,275,281,744,457,
878,467,647,084,761,382,238,202,996,177,706,651,077,059,379,587,294,677,536,
575,477,020,339,911,042,086,132,187,793,840,457,397,864,834,683,499,751,671,
924,948,314,741,421,361,510,171,418,779,467,816,705,063,890,656,584,401,261,
068,740,921,024,776,550,867,697,951,760,691,735,151,597,397,154,907,649,160,
463,661,582,350,968,867,433,754,545,088,656,417,304,941,623,012,053,475,993,
117,648,704,771,047,558,365,995,269,215,175,264,785,314,504,500,869,808,392,
518,647,787,879,538,459,104,192,533,197,700,496,092,974,988,315,500,578,647,
417,754,926,480,926,495,597,988,296,039,526,036,968,693,565,553,371,186,627,
776,293,942,305,977,698,151,295,241,375,100,979,964,392,664,793,383,776,101,
338,845,882,095,546,905,443,696,976,676,912,391,273,426,573,868,693,225,813,
406,011,144,193,335,538,339,860,927,038,099,142,170,959,882,426,888,410,220,
098,841,744,650,937,544,935,737,360,132,796,218,103,742,883,688,725,899,995,
634,751,082,316,390,810,854,654,765,983,220,576,777,668,443,173,267,279,751,
143,901,756,189,397,237,214,186,838,930,641,336,707,492,467,691,896,468,449,
201,413,518,004,762,609,305,050,849,803,119,043,848,863,713,396,585,591,755,
011,028,682,068,133,297,896,724,800,607,542,204,046,701,333,218,109,936,235,
865,049,048,671,101,852,083,211,947,692,955,497,315,860,965,554,473,593,468,
954,096,322,535,889,127,965,037,217,382,332,791,831,760,058,611,379,423,198,
193,884,402,812,107,356,610,647,246,792,720,284,525,764,124,540,950,035,246,
554,803,623,684,250,010,158,879,704,025,829,462,361,924,031,566,307,588,696,
026,565,010,103,845,458,075,099,233,578,022,874,664,904,750,160,324,738,420,
923,860,805,606,319,109,999,986,234,340,971,814,266,433,223,106,402,179,631,
206,965,129,261,363,265,889,436,951,307,794,784,866,546,993,745,411,373,435,
208,989,172,481,065,992,457,728,782,486,990,647,050,536,077,650,927,076,595,
041,349,843,863,081,544,035,740,619,437,706,450,775,664,541,818,199,088,619,
947,270,097,584,341,755,994,359,217,161,419,291,332,317,834,264,820,985,133,
000,523,700,908,362,226,442,956,482,742,750,400,821,802,292,619,745,070,990,
725,331,649,070,679,215,465,200,689,963,502,940,018,487,821,965,210,278,167,
594,956,713,854,096,720,824,599,746,598,229,822,272,701,426,989,829,509,157,
889,140,373,668,482,251,614,752,423,492,784,609,463,733,258,684,315,293,105,
334,512,479,300,164,112,764,809,052,115,617,631,702,140,261,647,776,296,429,
908,099,180,419,886,648,000,053,827,162,541,995,259,958,134,579,843,241,172,
680,086,169,251,343,422,259,325,605,146,123,454,679,269,810,772,372,407,220,
159,816,011,771,922,277,519,169,196,062,387,391,842,682,547,833,822,913,940,
243,268,965,230,375,597,625,608,343,812,835,146,416,999,429,170,065,725,685,
261,612,083,495,600,168,860,344,126,617,580,103,967,486,812,624,574,774,226,
593,587,384,634,812,373,986,415,373,072,416,927,986,456,130,125,782,123,568,
962,908,067,745,209,596,437,243,010,288,454,828,633,662,234,177,123,811,310,
759,938,014,079,507,062,065,149,927,689,442,122,467,012,744,001,804,352,237,
517,004,962,161,372,938,527,304,258,656,750,570,349,258,903,599,409,826,207,
334,591,509,087,276,534,268,506,352,541,300,754,601,703,052,372,982,092,354,
502,411,456,246,022,363,538,060,024,175,685,517,487,703,464,781,155,165,874,
358,812,044,388,348,372,742,625,591,214,000,960,351,230,056,676,157,165,004,
899,685,328,346,608,370,877,812,040,925,796,760,203,318,015,224,539,671,656,
178,632,016,129,162,502,080,464,887,265,778,223,122,914,724,824,976,083,730,
855,886,023,798,298,212,485,613,544,509,797,449,764,615,000,070,781,391,467,
541,895,325,878,539,578,496,456,610,929,826,678,790,644,757,431,989,846,930,
377,916,604,625,072,057,601,325,096,029,093,099,092,185,738,883,764,488,684,
837,861,255,024,827,935,279,467,590,930,738,846,333,436,140,446,168,151,479,
190,456,335,058,144,968,406,924,513,657,008,432,988,802,270,831,064,205,324,
887,461,838,540,641,124,740,764,030,599,870,075,632,932,267,906,366,703,078,
707,942,797,212,727,741,263,601,816,689,853,826,898,464,033,767,332,712,141,
130,044,342,257,066,353,946,745,778,960,413,226,423,423,755,686,583,610,405,
098,808,406,429,353,804,722,582,929,910,398,492,283,422,816,672,932,903,522,
007,831,627,558,929,205,744,183,105,072,579,586,138,454,053,962,260,212,751,
271,598,714,090,955,332,002,841,484,109,571,877,255,416,180,389,098,951,949,
148,361,181,375,228,038,167,857,800,312,848,540,165,080,625,498,298,844,013,
143,541,024,822,456,909,138,891,071,831,888,502,318,898,350,968,950,104,078,
275,251,397,381,623,537,586,355,960,948,059,645,794,461,203,735,635,610,533,
774,807,129,348,250,771,948,423,132,286,903,825,747,511,624,825,292,542,809,
968,372,203,814,947,706,412,402,220,216,223,998,198,336,249,222,260,513,308,
027,672,025,653,678,618,559,214,061,643,614,878,297,130,037,738,454,361,116,
207,096,907,379,036,170,435,889,137,480,768,192,406,452,087,686,273,348,240,
467,546,130,610,291,010,485,058,626,623,532,507,066,642,018,419,580,970,865,
667,025,098,832,950,978,053,609,097,436,536,961,713,551,494,540,377,261,407,
057,817,669,107,016,371,628,596,916,886,573,851,829,087,819,165,436,105,331,
072,813,572,771,711,621,440,578,288,624,352,864,666,473,421,144,423,114,964,
218,498,979,753,178,259,373,175,455,666,562,086,940,140,401,119,544,971,026,
002,949,449,928,925,077,665,774,387,724,020,671,216,260,071,315,287,602,278,
362,097,117,672,842,996,467,632,623,853,338,154,077,849,412,533,851,218,396,
687,841,728,132,529,651,684,459,059,688,882,852,871,398,304,058,690,500,262,
053,071,066,084,099,317,198,695,755,422,149,341,954,888,554,530,666,842,113,
735,362,530,482,659,618,142,441,034,769,736,404,545,021,985,249,725,258,935,
295,007,138,580,486,237,920,599,309,057,532,432,854,653,788,417,828,865,864,
455,920,109,683,559,545,509,519,954,582,245,577,462,903,297,834,175,558,103,
711,225,530,708,975,416,751,194,578,616,545,660,860,230,779,368,542,683,586,
193,695,257,587,928,915,758,247,190,454,532,470,405,704,382,149,619,714,697,
807,388,079,632,126,912,332,877,267,300,124,548,005,661,644,608,883,653,896,
256,120,666,079,201,281,198,747,108,950,243,645,201,215,881,382,875,792,710,
582,157,358,728,597,656,931,759,546,767,700,303,164,846,550,162,983,210,896,
475,516,470,307,628,670,959,846,786,539,930,592,882,358,943,232,237,816,379,
366,078,293,562,657,080,048,739,623,626,692,275,522,042,838,638,050,993,172,
493,958,574,475,792,837,216,931,988,297,304,714,007,773,591,023,956,957,940,
024,572,916,792,452,753,116,558,006,627,541,135,942,071,003,073,765,871,737,
289,823,458,896,349,031,897,638,435,513,698,270,543,309,926,385,646,911,680,
510,990,090,180,779,085,799,415,086,746,664,646,177,040,911,758,572,130,635,
628,547,573,983,890,686,658,650,340,381,059,208,510,579,091,509,426,588,816,
982,652,587,328,705,162,578,092,053,212,181,040,356,930,975,226,227,290,401,
721,636,738,477,887,753,184,647,195,591,522,972,253,498,533,386,152,372,409,
505,964,605,611,054,513,285,669,837,322,612,309,632,269,781,324,075,040,397,
852,301,730,337,611,158,065,587,020,451,710,895,588,052,752,651,546,273,876,
752,772,868,946,528,568,951,396,251,813,447,741,704,684,904,182,446,228,384,
741,424,163,535,628,716,910,512,667,690,389,307,187,443,358,585,105,862,540,
417,203,358,624,018,943,670,733,642,846,115,018,149,771,029,923,799,954,939,
187,011,672,244,030,497,817,183,961,349,471,293,375,871,671,759,000,813,475,
507,367,376,610,957,142,618,910,152,785,322,475,381,383,653,723,176,477,473,
121,878,105,292,039,667,432,918,782,175,276,405,506,572,133,982,149,692,222,
414,870,809,893,643,774,842,510,169,541,975,594,058,276,643,290,654,220,535,
536,279,588,197,772,494,783,429,191,669,249,763,803,209,805,256,930,230,889,
655,829,493,061,722,446,330,359,251,914,980,823,944,092,165,823,021,421,081,
203,273,179,881,152,464,788,098,140,292,867,596,174,100,302,910,731,283,065,
564,803,040,272,665,996,283,080,015,114,070,635,404,225,615,365,769,055,014,
683,937,335,693,712,416,788,163,226,441,051,065,299,028,418,130,551,956,437,
376,423,354,073,603,398,272,810,261,795,047,313,836,139,767,369,262,473,155,
392,834,263,686,072,429,795,589,081,631,229,586,845,737,188,644,484,711,496,
407,322,699,450,013,680,082,937,973,312,503,997,040,737,325,515,448,587,112,
319,868,986,971,774,662,969,320,098,683,068,909,889,390,077,094,495,314,144,
658,946,199,384,879,938,847,979,798,380,151,005,982,012,697,519,673,731,681,
561,821,604,152,499,506,320,911,033,351,159,502,184,281,541,907,504,858,630,
822,065,006,061,578,738,133,705,304,894,414,575,046,773,984,277,985,093,277,
366,795,972,181,641,669,270,168,227,330,960,874,760,102,717,292,480,054,933,
867,592,377,007,265,622,603,583,884,819,230,959,653,302,494,716,573,323,612,
044,228,025,384,046,349,774,451,421,730,594,796,097,423,917,432,743,934,096,
124,467,058,823,345,557,941,904,078,623,750,821,036,029,912,883,398,480,428,
340,323,949,191,637,961,204,217,061,423,723,712,288,446,272,397,155,494,558,
808,242,365,103,880,101,236,707,523,559,320,341,658,201,329,177,751,751,246,
361,306,634,662,442,001,660,257,923,846,903,290,402,084,683,657,919,010,310,
247,343,599,312,622,608,238,872,799,965,297,526,830,568,640,541,329,217,098,
138,692,967,623,648,078,511,752,097,804,867,473,843,373,157,839,575,123,128,
991,734,296,473,025,024,571,676,480,639,168,611,353,126,688,711,009,133,370,
192,868,707,106,900,348,743,572,528,425,240,656,185,882,287,971,094,038,026,
984,110,410,218,189,799,033,496,164,427,353,484,149,109,976,818,374,742,119,
839,529,813,086,351,234,206,622,764,234,371,111,368,197,807,673,107,665,184,
729,299,881,877,431,091,610,426,616,653,294,225,023,505,985,845,386,392,198,
546,088,290,185,353,579,383,326,306,833,588,379,927,210,861,180,937,168,358,
463,576,195,684,503,403,195,731,323,671,436,262,657,452,035,748,703,231,786,
532,823,391,467,336,374,509,151,491,808,257,439,341,464,290,330,811,157,234,
910,417,108,544,640,822,921,928,744,633,178,006,614,158,090,260,191,305,661,
371,705,208,305,751,941,118,521,971,381,408,871,631,853,309,817,564,532,023,
347,585,455,718,973,638,325,103,267,566,037,310,987,420,517,104,319,003,359,
440,776,077,958,635,661,560,502,946,939,598,156,176,771,145,736,980,498,619,
547,830,197,716,650,287,790,745,569,563,749,781,961,465,890,528,793,730,036,
538,097,249,498,459,514,055,543,886,006,203,685,026,945,351,304,670,152,310,
381,222,766,558,039,312,021,377,338,681,200,599,449,585,608,178,488,279,552,
346,603,658,034,940,051,160,010,803,935,942,749,105,004,078,765,390,537,476,
661,071,695,507,356,950,862,316,031,838,957,464,523,994,963,392,047,288,012,
319,219,032,143,128,154,715,341,082,504,317,839,894,937,428,635,585,788,010,
363,293,416,676,912,334,345,040,539,330,980,174,193,266,392,558,731,910,737,
460,887,185,985,674,445,103,009,889,587,348,275,651,991,420,590,181,324,549,
726,627,478,865,373,732,507,540,034,541,286,217,211,967,503,805,191,571,641,
589,208,870,191,000,505,917,082,832,128,738,025,513,950,929,039,496,543,812,
462,349,533,398,606,437,567,335,452,286,777,067,081,392,518,090,044,562,633,
227,253,511,176,377,080,094,909,460,458,044,757,790,127,656,826,881,554,750,
152,807,403,026,850,065,174,874,408,031,131,427,557,991,127,759,829,638,637,
076,284,861,236,965,057,539,013,108,779,214,360,906,558,385,358,426,180,433,
090,098,313,582,293,429,352,385,688,799,020,595,253,575,567,385,571,204,148,
182,181,424,967,442,504,074,255,221,534,191,838,444,410,484,353,371,957,042,
868,068,211,805,294,781,141,148,521,103,200,856,867,105,428,112,916,737,244,
090,953,701,476,655,144,406,992,971,644,645,102,910,290,241,383,571,621,968,
306,556,362,002,437,009,985,405,129,192,048,016,049,502,511,486,778,754,400,
151,083,193,769,674,867,550,891,485,944,203,679,894,178,706,487,058,604,351,
702,609,921,363,232,763,196,121,541,573,633,090,594,434,208,076,358,787,134,
518,160,683,317,293,562,949,750,100,799,490,116,670,097,346,421,478,888,179,
034,105,872,551,630,549,961,619,888,494,514,208,217,049,625,791,854,432,335,
928,367,212,834,114,364,577,285,461,994,782,709,307,893,379,776,879,257,085,
647,996,887,333,500,570,491,331,094,536,602,397,843,667,195,106,242,753,499,
165,406,816,212,753,966,055,729,808,370,657,711,412,318,962,560,430,579,612,
378,849,091,198,904,911,908,704,658,059,868,580,621,039,216,409,554,237,525,
489,101,894,078,965,158,453,255,623,528,776,862,791,727,460,768,863,145,048,
831,082,588,145,069,663,495,081,642,672,355,592,912,240,835,749,077,312,574,
769,522,200,401,990,744,170,035,833,491,648,044,781,367,069,145,042,471,457,
828,593,422,726,092,385,701,753,664,225,789,910,862,102,656,238,943,166,765,
236,318,946,983,760,536,775,891,516,321,253,207,220,015,065,946,566,227,349,
084,991,872,848,379,621,807,878,934,999,511,500,668,105,420,394,437,673,571,
367,336,383,925,744,981,800,464,694,859,433,265,110,589,836,853,207,746,340,
797,311,321,351,642,555,348,952,103,024,062,528,993,149,078,056,671,053,451,
076,564,818,026,149,882,118,721,332,008,078,779,315,699,356,710,118,850,116,
164,341,762,492,291,504,486,330,741,934,905,673,708,925,860,390,035,944,340,
201,643,086,264,861,341,375,475,631,134,719,481,620,903,726,402,383,266,337,
792,605,122,621,250,721,511,655,030,588,533,958,203,823,296,052,941,519,122,
920,507,182,350,749,571,895,880,989,056,100,430,455,845,236,550,375,195,068,
462,770,465,548,196,868,952,471,674,885,264,621,812,767,858,010,731,074,777,
919,059,983,323,221,092,127,321,241,981,580,544,866,117,510,503,352,920,280,
083,397,998,011,789,346,974,037,147,354,031,740,346,626,118,155,775,626,993,
722,930,855,597,273,073,675,166,639,849,091,110,696,735,130,824,109,916,901,
752,924,316,635,873,199,367,383,987,036,469,352,469,964,148,918,965,159,443,
370,511,669,006,078,801,051,769,084,320,980,824,699,304,645,431,494,601,907,
497,065,226,268,443,924,104,249,688,942,668,016,216,389,583,790,424,973,715,
717,960,190,704,199,053,791,148,650,778,451,295,078,770,682,024,229,229,067,
595,055,309,258,874,501,425,918,228,380,782,763,495,319,364,124,612,488,656,
074,035,759,325,888,836,813,930,948,296,302,163,014,736,179,215,402,227,876,
186,264,113,072,390,294,835,266,609,028,358,827,774,149,836,700,317,628,667,
858,530,037,560,182,327,317,718,201,475,415,052,481,039,486,026,356,682,893,
822,937,944,704,622,112,462,101,550,674,327,613,505,478,272,128,970,669,917,
345,017,074,551,060,538,272,351,468,992,400,435,847,722,202,916,874,676,966,
609,206,456,988,560,762,774,093,871,437,637,740,049,107,981,540,274,242,224,
098,152,183,458,046,582,676,752,968,061,206,744,758,163,445,222,161,161,211,
769,236,071,354,652,402,852,656,102,653,836,050,982,170,447,714,877,699,250,
348,944,381,091,603,476,706,927,519,196,886,432,075,955,499,576,107,843,632,
830,299,776,839,658,781,419,429,102,736,915,981,464,541,757,247,724,819,747,
033,525,283,685,415,716,988,271,495,929,187,963,266,376,113,173,226,094,755,
178,360,148,238,818,801,513,682,703,569,146,697,556,529,533,568,162,265,009,
542,628,872,479,284,622,756,947,128,079,546,185,157,000,732,967,183,590,973,
295,427,282,355,568,766,190,977,306,308,381,774,904,950,421,656,529,834,559,
674,043,169,273,505,340,176,948,184,064,217,518,865,336,013,393,720,842,905,
933,277,033,039,517,580,557,089,020,325,662,654,103,626,819,756,151,468,007,
084,808,008,124,995,355,556,189,535,289,394,001,022,507,777,292,413,484,025,
350,165,919,739,688,255,474,636,127,396,312,772,020,399,670,393,537,347,967,
508,864,357,432,125,805,757,211,547,730,633,218,222,873,719,049,866,531,204,
427,741,137,308,238,959,377,246,658,830,702,773,393,847,164,561,861,680,470,
907,879,445,969,335,922,252,987,949,804,720,302,818,141,976,091,686,399,944,
778,190,927,475,200,310,120,228,537,654,624,552,269,061,946,274,753,128,514,
992,876,296,619,978,456,190,307,526,639,086,207,043,246,675,734,227,383,157,
195,180,726,537,744,263,748,131,818,162,154,014,816,717,678,692,388,179,045,
149,340,542,992,200,571,593,564,150,030,055,380,484,959,349,073,682,164,463,
547,538,481,045,671,079,525,410,041,076,099,201,657,294,657,812,941,315,183,
899,839,757,004,493,267,754,292,692,825,346,351,128,407,149,060,353,232,814,
494,755,498,577,847,969,324,816,451,991,265,357,528,457,240,026,746,174,621,
810,179,822,924,069,312,429,742,600,460,218,636,362,434,503,039,666,579,983,
824,244,300,000,026,514,757,250,223,185,558,474,794,043,990,958,321,366,867,
942,348,624,504,175,965,387,357,425,027,735,561,920,185,052,068,646,531,476,
413,062,936,210,384,543,759,972,860,937,189,368,172,888,942,984,234,023,815,
565,071,067,585,160,005,087,432,829,981,093,363,338,015,380,392,662,398,858,
084,397,396,606,284,975,784,906,765,885,849,808,660,288,931,964,550,233,791,
043,561,649,379,443,628,206,680,800,737,404,441,406,087,768,142,965,169,201,
865,585,066,706,579,125,140,502,797,963,425,812,748,246,471,733,694,205,989,
689,957,908,353,808,220,001,620,333,435,545,851,376,400,157,671,445,256,669,
621,962,058,402,187,869,943,110,835,135,727,077,095,375,102,573,538,603,498,
067,557,450,077,025,844,480,022,620,331,357,718,734,582,971,056,797,633,431,
229,873,921,474,072,301,509,342,329,405,208,276,275,902,137,988,287,480,196,
605,891,703,268,020,380,504,331,683,152,962,795,293,535,943,894,888,513,448,
623,742,197,459,588,872,165,542,788,010,522,936,859,664,667,749,154,623,457,
519,982,740,931,308,494,418,805,658,339,240,837,593,713,484,548,205,185,767,
068,725,627,253,302,935,059,018,183,165,871,929,315,102,251,265,852,183,470,
296,205,938,423,468,420,049,179,458,726,348,704,017,954,803,183,968,084,320,
331,156,133,009,373,089,656,578,459,123,148,883,970,690,653,101,744,401,675,
707,647,309,695,382,257,733,842,614,013,604,766,834,515,627,332,057,917,451,
147,826,985,091,055,509,936,502,724,482,522,688,736,164,826,548,638,191,441,
276,364,958,527,280,837,775,350,350,745,670,150,645,362,483,399,358,545,525,
490,614,040,290,252,961,843,559,582,010,862,489,099,294,237,621,084,214,500,
246,465,770,953,973,962,568,551,325,382,764,283,425,749,639,641,055,449,817,
919,117,507,697,808,958,211,324,804,721,540,959,261,114,781,889,968,223,351,
722,392,149,704,917,270,212,926,308,545,430,476,887,130,754,581,739,991,675,
744,788,053,260,635,420,156,453,187,092,803,868,605,902,161,043,279,136,862,
709,846,169,161,203,813,985,752,369,207,783,807,087,613,644,867,623,691,991,
666,706,978,851,785,979,455,242,200,690,574,184,628,799,104,239,402,640,049,
118,535,467,796,644,658,249,544,159,564,675,127,112,340,072,889,453,668,842,
291,868,862,631,496,859,743,772,949,293,229,447,933,446,389,383,294,875,452,
425,801,997,663,103,609,053,848,683,470,259,822,799,317,625,745,687,978,439,
418,855,564,982,060,556,525,460,015,958,720,329,654,596,612,917,338,815,159,
876,998,878,663,255,844,713,665,858,128,696,401,321,524,631,116,827,719,016,
373,116,801,706,332,269,940,251,653,752,618,565,467,714,940,720,821,254,164,
339,622,604,946,858,786,222,714,054,928,554,142,312,656,961,444,436,992,051,
830,197,494,726,962,496,168,815,697,071,626,061,924,231,169,695,622,313,434,
706,040,268,488,664,791,970,052,479,185,894,758,416,697,469,201,961,306,968,
635,625,035,385,346,531,553,595,453,494,263,045,155,341,517,186,097,328,643,
193,448,027,252,381,221,571,426,043,645,633,553,660,530,837,400,635,965,046,
839,033,087,933,002,026,896,919,344,254,336,337,422,238,793,122,321,174,516,
759,252,755,026,801,137,105,001,631,086,076,500,566,238,352,407,997,192,755,
871,869,277,323,285,239,727,273,860,547,580,612,742,950,610,487,533,022,953,
451,740,935,731,090,488,902,947,092,775,518,053,279,946,989,140,620,847,679,
761,001,046,387,934,979,132,457,674,116,415,609,973,914,545,785,399,150,169,
797,622,238,746,252,042,863,226,567,720,185,855,151,532,716,178,288,657,027,
057,182,854,437,118,514,127,224,651,529,998,804,327,142,587,990,734,551,808,
562,500,231,410,485,370,047,466,764,467,121,045,881,170,362,801,147,721,938,
244,567,952,828,231,176,996,773,517,314,442,504,025,831,448,725,817,252,236,
185,412,323,705,162,089,042,075,740,908,563,297,453,498,285,597,248,582,242,
698,600,648,468,847,216,875,353,850,958,701,265,416,021,478,605,182,546,420,
477,616,202,156,644,953,527,606,360,731,454,402,030,764,999,786,118,927,361,
052,602,407,157,009,587,496,157,952,804,046,290,607,464,340,771,932,294,790,
494,721,169,398,345,088,946,436,234,735,817,154,235,793,250,549,068,380,242,
953,485,233,779,822,366,409,645,720,680,289,223,459,677,756,208,111,367,489,
065,993,649,881,925,679,517,592,525,786,440,444,864,893,539,087,933,615,609,
082,456,405,445,337,574,570,639,407,022,524,087,635,709,991,597,744,209,719,
092,019,665,225,247,147,721,650,272,085,089,544,255,466,144,164,078,639,899,
774,623,675,834,239,186,677,137,746,132,132,840,103,647,984,519,304,874,678,
717,724,686,046,026,654,446,553,954,527,046,249,893,694,915,505,530,747,190,
164,799,089,144,798,452,010,410,459,065,767,969,962,759,987,792,395,840,163,
431,056,039,645,376,903,199,378,965,954,283,776,820,327,599,211,663,373,492,
032,202,694,689,275,003,406,839,991,183,728,784,504,037,900,755,193,759,305,
073,112,377,908,374,512,337,119,063,070,120,946,922,760,489,056,661,156,452,
932,380,119,115,938,184,487,343,998,655,714,601,339,925,540,765,051,558,242,
959,770,653,691,619,026,444,427,705,484,600,546,143,618,792,284,190,921,834,
609,824,288,802,108,718,906,149,511,614,996,929,968,128,082,791,187,797,189,
183,875,847,036,919,259,287,531,855,943,427,402,774,815,322,854,853,367,791,
814,610,738,753,035,292,793,208,599,241,597,329,930,224,950,539,089,321,516,
824,325,494,078,556,726,458,905,558,996,533,130,389,840,984,085,912,768,555,
042,815,185,309,379,336,241,111,200,725,804,955,698,952,235,547,989,058,576,
968,117,306,568,969,106,314,348,722,436,496,188,806,114,694,212,342,552,827,
461,476,741,937,772,932,125,779,358,768,074,640,240,958,149,939,957,742,988,
676,314,243,919,951,630,905,166,440,198,226,129,757,452,468,107,992,619,917,
814,350,963,457,019,255,982,529,428,557,343,848,690,636,466,018,201,869,929,
501,523,521,212,087,780,369,107,109,683,083,054,258,860,866,584,879,207,964,
804,686,915,855,992,687,499,838,810,831,718,709,325,832,037,215,402,223,570,
511,279,869,285,455,912,881,592,498,357,674,237,656,704,536,235,069,469,102,
897,202,852,311,732,829,215,891,989,542,448,608,228,707,101,492,498,412,036,
546,398,441,834,104,310,552,711,283,297,629,300,771,962,389,189,902,043,658,
986,643,828,319,846,003,859,227,957,089,387,968,963,520,266,950,822,513,802,
272,002,090,269,217,577,903,070,118,427,814,639,237,147,253,908,697,648,945,
446,189,000,113,226,250,490,938,858,729,232,347,877,561,535,598,362,612,456,
605,143,833,191,482,385,312,993,238,432,296,688,044,692,029,822,903,687,480,
516,557,085,563,480,213,419,616,320,815,666,343,248,053,801,931,485,222,144,
561,181,729,353,559,913,462,962,785,562,241,190,058,576,062,264,679,474,340,
617,409,498,949,660,446,105,176,141,841,306,845,960,328,537,280,144,906,246,
918,106,999,890,390,209,208,132,779,100,531,287,779,317,332,976,962,879,800,
384,872,102,858,147,330,079,520,122,172,164,996,767,355,128,164,425,842,562,
909,438,668,564,980,596,931,746,131,680,394,322,418,357,588,683,174,965,840,
385,210,806,795,564,993,061,592,573,946,654,356,761,472,982,569,556,188,488,
081,549,158,102,025,023,135,119,037,665,089,214,251,152,061,514,879,670,976,
983,922,692,537,995,045,786,735,005,071,482,591,207,728,603,833,113,305,197,
782,556,881,052,081,241,083,909,759,484,606,394,567,868,933,943,120,641,605,
564,910,433,597,571,833,377,133,754,665,541,319,505,984,469,402,258,841,967,
742,544,180,800,787,329,173,108,937,642,795,292,821,116,126,701,344,114,962,
723,841,101,670,938,744,354,497,596,578,265,826,410,345,788,658,344,909,646,
457,528,516,080,777,634,564,272,980,293,930,247,108,757,091,403,567,898,278,
077,658,868,497,273,069,315,333,822,810,956,595,468,744,050,306,754,968,446,
800,268,392,657,054,402,550,038,928,314,998,819,121,585,829,556,814,549,622,
740,379,315,697,025,390,776,546,463,336,090,274,811,470,275,154,643,892,979,
702,840,715,236,245,493,520,797,293,389,217,383,741,035,445,971,930,290,246,
578,851,813,376,079,234,118,085,747,252,282,488,686,663,220,005,269,736,190,
938,179,815,611,047,381,841,658,838,504,182,597,540,551,477,024,378,628,890,
949,141,492,080,040,228,062,154,743,185,745,961,118,028,201,507,806,078,872,
872,291,445,427,404,240,568,010,340,987,169,662,699,145,112,207,158,025,048,
431,954,122,066,786,011,900,208,186,257,965,646,812,901,496,280,675,404,005,
872,019,468,863,718,945,404,047,785,820,472,661,628,449,104,963,040,176,570,
512,872,236,553,142,975,851,048,231,943,980,181,397,946,907,087,058,417,419,
600,115,018,647,642,734,312,660,731,782,048,011,593,788,070,926,241,493,365,
182,024,697,000,206,743,394,880,709,979,523,497,754,318,233,947,896,099,509,
122,569,231,994,622,794,790,356,244,548,668,940,289,369,921,211,126,889,018,
733,114,228,969,665,467,840,483,617,658,707,652,879,018,280,837,785,739,859,
579,677,516,127,865,910,895,490,252,001,612,579,687,400,748,498,686,690,600,
899,668,477,301,107,932,840,229,170,404,852,174,199,044,268,763,517,964,390,
243,427,859,631,937,052,346,528,462,084,922,093,328,056,578,547,858,334,380,
202,810,575,416,488,386,269,963,202,237,737,693,093,682,316,797,682,310,893,
296,932,998,295,489,370,200,705,824,768,650,341,445,975,236,444,109,200,832,
916,318,188,563,526,705,129,006,721,453,845,734,903,748,437,564,159,452,086,
499,441,679,912,705,832,884,374,243,333,242,988,122,798,503,048,386,639,194,
783,868,517,478,407,195,567,380,754,266,575,828,307,787,193,624,376,163,340,
855,089,456,537,046,444,629,866,185,530,077,552,532,732,576,131,098,824,123,
494,999,302,979,470,442,270,707,270,176,982,074,619,529,219,636,542,201,536,
107,758,932,332,074,837,010,447,632,934,844,660,468,397,491,018,279,054,930,
079,289,614,666,570,426,125,253,819,999,692,194,678,882,513,670,553,857,798,
210,246,272,083,729,659,067,668,906,170,502,354,687,882,108,934,466,865,010,
720,369,245,964,945,926,730,251,590,189,961,515,176,710,074,364,372,579,964,
491,606,953,032,270,472,510,618,480,998,232,977,024,305,890,181,990,271,977,
204,635,731,593,142,101,795,283,335,733,193,426,280,130,839,954,743,617,754,
830,325,536,746,669,826,961,778,451,102,905,442,673,415,008,416,365,128,581,
221,816,529,352,435,501,056,617,770,421,118,662,847,878,025,954,456,474,024,
636,925,281,654,815,438,703,326,135,424,282,628,966,698,306,630,289,449,540,
541,262,379,569,606,316,363,200,643,417,100,118,443,918,038,199,548,147,986,
336,650,141,838,106,506,100,864,244,871,627,647,618,627,643,609,144,142,206,
536,256,199,118,373,321,929,489,197,363,524,292,584,320,063,570,154,331,603,
933,197,708,420,916,672,273,803,494,386,925,405,575,677,980,697,459,173,370,
378,939,578,704,406,059,494,101,581,253,270,507,498,047,462,554,770,564,157,
925,804,961,647,542,042,627,446,909,678,021,406,343,151,277,610,069,639,813,
739,784,783,384,148,565,614,807,063,139,589,466,091,037,854,837,165,764,926,
606,674,540,511,223,632,807,191,246,934,158,277,528,072,491,080,772,686,930,
445,845,744,261,831,586,928,477,131,738,304,673,851,804,523,259,337,741,508,
611,940,851,737,202,310,131,275,992,969,680,797,193,691,599,765,035,628,648,
722,244,911,287,490,168,699,481,486,456,043,001,759,902,668,156,012,544,274,
546,657,042,907,891,121,606,286,053,532,686,615,482,551,342,887,934,476,336,
168,356,805,376,189,137,816,010,902,594,396,523,053,221,390,931,374,774,618,
507,132,930,859,825,746,056,155,552,169,034,309,912,066,478,423,797,967,126,
953,574,718,743,331,612,310,378,445,021,817,033,727,016,780,078,448,306,963,
426,583,846,854,687,149,026,311,155,461,095,631,461,787,413,535,898,902,957,
292,847,725,972,175,141,653,434,915,546,196,819,503,916,575,821,058,854,072,
376,625,976,628,327,436,011,239,754,485,627,419,509,666,079,238,601,495,064,
610,061,250,869,933,470,729,216,894,802,334,146,588,055,218,844,766,391,398,
045,216,446,552,181,323,204,940,024,574,507,259,207,558,784,438,181,292,301,
359,769,315,408,349,873,652,452,614,606,220,594,135,565,636,961,894,392,451,
446,901,750,053,613,060,082,026,476,445,832,690,655,558,232,797,530,697,313,
501,415,450,714,821,933,304,608,851,723,579,479,302,105,045,582,465,125,520,
411,938,325,634,842,338,853,762,780,258,989,775,073,798,506,664,370,631,109,
172,673,006,568,611,886,698,004,313,682,937,274,353,189,415,111,662,727,431,
997,689,019,447,931,043,181,638,983,550,222,410,454,221,412,618,397,419,674,
722,737,212,594,537,983,971,200,893,436,902,738,282,935,326,847,502,294,397,
432,242,456,476,007,797,737,395,095,141,209,293,528,042,970,864,795,624,009,
802,439,315,526,619,207,535,356,765,437,720,304,308,086,166,287,670,248,308,
075,811,076,755,573,417,222,000,209,789,266,424,855,593,663,876,520,382,410,
185,570,944,746,832,077,808,706,893,723,223,672,235,691,968,843,271,886,111,
076,650,231,159,603,104,739,733,864,418,149,635,351,442,402,338,595,913,773,
282,186,609,265,229,791,972,411,951,059,238,459,289,043,608,207,527,264,056,
808,832,899,323,341,124,038,907,931,786,244,696,274,569,941,819,098,141,137,
281,950,684,063,367,568,057,357,190,643,518,217,092,810,641,857,251,944,713,
954,482,745,369,950,255,474,121,390,472,065,815,761,288,793,374,948,596,847,
079,711,142,354,515,040,429,798,478,472,752,888,901,463,915,821,325,912,249,
667,311,572,351,376,184,562,996,488,065,874,038,096,896,187,301,037,195,754,
703,170,251,706,674,492,706,975,357,709,653,545,701,452,669,064,913,872,299,
053,147,260,594,365,182,884,800,195,050,445,982,346,470,045,578,271,047,317,
057,519,948,960,889,798,599,174,842,421,197,459,450,792,310,156,071,399,496,
549,808,883,864,189,003,136,808,368,412,491,476,358,353,005,961,106,447,600,
450,659,449,111,146,324,982,376,623,847,302,967,270,987,677,127,234,519,098,
442,598,885,513,486,296,613,609,428,846,987,907,916,272,528,661,924,736,890,
974,523,204,388,200,031,409,790,823,585,252,269,391,181,415,142,712,480,157,
814,606,337,056,305,881,035,358,380,231,489,451,952,390,942,930,027,797,264,
287,607,003,689,597,621,813,941,574,156,542,592,886,046,761,933,068,105,751,
446,111,021,515,886,282,087,893,553,919,596,103,843,015,451,104,833,202,285,
547,528,284,594,684,570,390,379,727,279,246,721,230,912,583,406,568,540,929,
376,768,459,967,759,210,569,468,982,459,877,811,437,530,275,268,631,398,515,
370,773,282,340,050,733,689,488,498,205,340,310,573,663,525,071,125,563,516,
948,981,981,748,558,738,833,277,352,510,799,036,465,694,732,792,119,625,855,
948,370,640,774,331,147,317,455,200,359,723,278,233,175,117,107,139,139,048,
970,869,781,537,658,702,004,071,164,271,199,562,853,996,744,281,445,447,797,
729,106,537,088,203,273,513,369,156,245,791,467,676,285,240,251,726,779,002,
946,657,697,806,442,837,871,270,398,623,856,064,561,342,782,671,708,385,995,
296,861,229,167,603,778,463,350,954,222,793,054,951,521,846,507,723,804,640,
156,570,010,031,629,937,892,275,068,264,076,625,639,895,027,663,952,210,034,
055,002,214,444,273,361,799,733,784,313,888,609,803,975,778,078,774,009,126,
988,529,228,525,930,345,274,144,404,120,825,052,649,125,744,761,745,669,768,
828,887,333,961,631,430,577,360,720,687,103,230,232,121,585,770,849,810,820,
989,293,048,467,475,285,584,383,682,466,213,992,415,052,418,363,939,182,697,
955,381,865,098,829,243,666,491,040,991,645,505,124,933,594,479,070,755,194,
282,777,216,159,804,487,620,365,566,016,542,974,741,591,981,269,471,115,113,
769,819,960,342,991,348,529,706,250,156,366,086,345,804,005,004,376,643,419,
527,101,755,431,142,637,149,112,060,805,783,322,637,254,503,240,693,155,735,
947,819,664,322,908,593,467,485,289,290,771,305,823,089,730,364,925,602,055,
546,106,198,511,809,941,965,994,864,107,524,985,487,541,368,640,948,703,947,
844,072,944,631,677,879,239,297,401,551,962,951,897,822,776,734,787,957,686,
683,181,409,896,516,611,433,764,401,868,181,680,824,300,911,036,764,528,599,
290,508,637,146,433,031,869,539,236,423,406,839,406,634,453,621,609,898,484,
202,246,787,699,163,181,013,328,578,598,284,193,456,582,236,551,760,757,416,
055,892,772,838,506,448,936,853,079,824,056,415,009,159,541,944,818,713,185,
636,173,729,991,967,088,978,701,514,714,729,577,527,812,521,003,018,568,956,
433,318,985,788,885,166,915,065,600,321,757,016,917,725,250,653,252,622,198,
266,696,798,269,378,218,376,638,163,517,711,243,171,675,706,591,117,114,479,
753,266,483,095,597,633,280,012,756,616,828,552,201,209,689,424,441,655,369,
495,086,740,333,751,159,437,936,226,704,298,130,949,834,313,917,885,473,922,
953,385,674,271,751,354,871,504,126,484,634,005,947,886,697,457,880,140,436,
357,137,899,500,105,655,122,070,205,689,888,914,153,148,403,401,992,427,058,
828,819,122,967,648,918,735,638,250,375,503,658,619,837,840,230,720,445,924,
682,451,814,715,303,176,905,122,793,640,634,260,579,349,850,915,190,357,247,
067,280,722,188,060,288,988,402,810,975,799,221,094,342,048,271,423,741,438,
236,938,045,437,677,125,299,996,627,115,011,967,902,492,992,997,186,565,355,
874,008,618,239,690,528,431,390,461,591,755,830,562,775,561,789,994,846,977,
980,060,609,898,691,259,883,721,031,848,925,300,943,952,355,132,903,258,596,
851,347,343,481,980,080,488,596,794,447,494,370,400,858,246,288,179,000,404,
016,167,011,104,416,868,700,520,802,628,574,717,899,657,514,182,262,881,926,
992,644,328,155,822,328,556,736,346,537,909,141,370,723,420,247,723,908,995,
012,337,403,625,020,780,152,701,395,677,457,953,298,901,323,228,475,281,074,
113,512,814,819,909,768,877,937,379,612,956,894,919,299,711,151,962,303,596,
774,619,504,553,139,765,442,896,035,013,432,701,618,524,163,954,731,471,567,
075,999,467,152,142,308,286,122,348,680,906,828,403,781,305,105,724,897,931,
993,344,785,254,163,188,511,165,319,860,574,580,844,412,360,773,312,283,789,
232,539,452,792,924,299,123,161,992,868,567,666,432,646,154,258,842,091,395,
448,242,073,514,083,747,253,997,293,272,299,739,392,246,566,986,048,051,294,
465,223,057,663,021,408,646,838,468,334,357,759,488,110,204,294,348,870,384,
416,021,897,211,217,187,298,629,733,817,112,107,553,135,504,178,062,871,632,
736,865,773,792,970,745,416,860,066,659,375,643,785,392,500,440,590,912,291,
571,234,233,474,293,674,971,824,015,381,889,779,652,056,098,470,722,764,510,
098,782,315,004,566,337,430,637,792,729,293,675,392,083,567,430,456,167,514,
246,895,592,672,767,711,239,877,838,079,614,849,071,654,573,828,211,060,802,
297,953,002,476,599,732,405,400,919,609,066,458,881,149,428,972,807,778,013,
773,675,033,979,707,787,258,421,849,582,899,333,351,289,348,947,969,131,197,
706,876,485,912,343,105,760,003,084,405,629,431,072,810,368,519,578,359,051,
049,577,043,616,063,324,067,863,945,625,362,909,350,943,026,244,894,654,951,
279,970,341,526,935,457,757,193,755,759,877,683,782,734,495,035,989,661,993,
607,944,860,963,898,832,026,933,044,055,140,752,165,114,416,611,624,496,147,
873,713,896,186,453,531,359,089,918,170,487,440,719,982,682,596,087,938,536,
336,874,430,537,904,140,020,621,373,416,076,811,487,792,589,957,059,106,193,
270,719,079,933,914,327,823,781,388,683,203,215,612,935,911,909,019,234,317,
608,836,598,936,560,091,514,353,184,465,803,830,940,466,860,073,839,052,655,
576,605,161,631,763,281,285,294,544,070,846,014,319,517,529,128,285,107,779,
653,284,086,113,544,478,508,519,898,612,142,751,810,743,635,600,405,234,485,
076,907,223,787,644,586,170,528,269,528,083,390,778,856,706,921,632,365,437,
644,903,277,286,446,025,773,522,914,932,111,616,663,785,648,089,161,269,896,
387,690,450,863,097,430,032,959,550,165,286,179,291,240,908,963,119,267,817,
953,648,948,999,468,824,294,089,368,678,816,785,198,690,365,101,887,914,576,
573,607,429,196,825,600,644,995,634,812,573,054,067,390,179,403,583,323,068,
632,770,458,813,987,352,632,834,168,537,965,327,861,116,231,694,568,108,443,
719,335,927,105,411,738,549,761,031,283,171,880,882,819,323,368,728,058,660,
445,405,352,725,446,378,549,212,426,673,316,777,190,470,065,107,113,378,170,
748,017,276,919,094,541,273,197,669,674,053,395,316,016,037,374,148,457,084,
931,659,935,725,403,549,766,885,068,185,183,335,079,800,881,678,933,959,110,
473,196,465,559,702,753,006,498,184,995,176,215,974,273,218,733,106,056,173,
060,357,256,982,061,235,943,152,449,284,886,149,089,488,275,920,461,758,721,
992,172,587,735,414,213,244,726,523,992,582,613,665,369,892,291,797,518,597,
818,460,520,297,956,373,355,236,704,186,228,695,207,734,362,503,276,829,540,
184,032,864,985,297,986,212,257,944,639,130,897,838,416,021,859,846,114,875,
983,094,127,861,206,200,555,756,271,411,600,183,069,155,540,247,399,895,069,
246,710,398,298,340,201,344,539,294,388,663,544,453,894,652,692,186,426,813,
711,405,456,785,486,676,127,604,895,422,678,721,176,059,434,112,009,745,895,
332,020,438,172,534,711,034,360,453,591,691,556,770,890,005,542,533,456,184,
089,717,004,861,323,091,212,194,984,821,142,555,583,589,053,685,225,565,527,
883,901,336,764,124,868,560,354,827,682,023,455,882,829,549,295,833,088,886,
898,208,755,877,280,324,287,284,538,366,121,826,285,934,483,212,695,306,946,
488,817,209,408,132,907,954,599,278,030,274,730,663,727,212,385,789,228,485,
423,211,094,008,547,596,779,686,016,203,289,481,203,548,422,407,918,680,821,
410,596,069,250,000,927,382,135,089,725,024,818,620,878,258,759,708,086,709,
325,782,387,918,100,087,442,022,495,079,892,663,780,853,166,922,047,266,638,
228,490,303,792,363,764,166,180,084,159,105,945,065,868,179,933,256,537,101,
976,783,252,249,841,907,940,932,805,509,920,512,017,307,299,882,710,577,146,
195,343,764,740,711,057,075,454,177,369,324,495,692,296,098,230,595,392,296,
127,756,222,034,077,247,680,246,361,209,341,113,613,961,198,517,852,946,305,
738,936,712,652,170,403,052,342,346,851,081,536,407,372,077,009,006,703,002,
312,730,851,501,963,826,841,803,050,731,467,697,670,929,726,165,547,725,555,
063,675,326,178,091,914,831,640,126,728,353,731,125,019,721,992,984,314,318,
782,020,164,413,581,955,262,812,559,753,757,319,538,711,809,816,042,317,950,
345,800,709,431,867,434,604,482,797,238,988,579,859,598,337,760,279,052,311,
851,518,052,199,426,785,253,566,872,758,371,689,863,952,347,971,293,522,179,
705,479,834,845,228,878,209,085,264,873,945,845,600,953,320,237,784,900,717,
850,847,890,744,126,414,498,497,698,495,226,596,090,848,788,044,495,017,195,
863,288,401,259,046,188,278,699,360,552,879,593,495,044,635,026,453,271,562,
248,076,863,225,110,293,027,619,221,953,190,992,728,731,463,935,181,432,112,
617,467,057,786,199,484,598,323,722,912,306,077,549,273,561,240,838,540,764,
998,362,680,715,985,483,924,878,181,837,130,219,958,049,946,800,117,614,616,
676,240,241,028,724,430,231,061,333,106,297,589,538,597,282,854,909,506,461,
991,816,397,103,470,027,814,738,901,880,994,808,633,807,516,430,640,407,097,
650,005,380,017,278,219,700,384,278,519,650,279,766,164,527,074,539,523,311,
700,699,711,128,806,551,539,002,456,902,710,064,070,801,970,396,157,523,527,
655,978,572,208,030,078,019,833,683,328,399,341,742,506,773,083,356,797,544,
048,121,117,463,108,417,181,492,362,859,153,763,164,640,578,588,751,525,632,
928,271,562,430,233,780,529,891,352,101,308,125,448,729,280,938,950,967,797,
967,330,509,788,085,844,803,868,272,434,414,547,335,345,713,430,436,327,396,
687,095,170,734,734,720,848,461,400,036,896,124,668,320,084,949,738,058,135,
896,308,669,540,873,375,394,734,491,740,915,626,258,279,345,830,217,889,308,
728,779,364,723,937,878,056,628,507,902,390,416,753,088,739,470,786,894,062,
171,017,619,971,827,219,889,896,869,537,015,234,132,008,812,675,046,543,382,
662,753,440,347,197,425,018,143,002,222,478,612,593,571,687,474,364,468,142,
245,377,466,565,873,843,073,483,555,159,564,440,282,564,903,409,398,288,175,
837,511,401,394,609,996,016,303,474,217,798,474,569,764,790,563,456,128,440,
889,930,826,715,758,293,582,913,464,969,978,950,847,962,501,922,553,312,848,
559,195,513,306,570,644,281,283,243,261,753,432,984,577,148,825,145,814,126,
924,894,877,272,071,641,239,271,457,606,375,030,023,134,503,651,774,517,578,
699,873,310,486,976,067,686,252,811,535,201,042,729,895,533,674,128,585,204,
927,331,611,268,457,954,898,127,519,314,428,613,981,637,271,945,186,433,975,
623,853,469,333,319,206,955,141,451,751,122,546,374,661,307,793,440,372,426,
500,084,784,500,560,810,927,445,174,655,299,975,220,329,690,423,971,174,230,
418,548,535,623,878,950,270,187,448,529,393,555,877,021,834,446,532,476,793,
368,976,946,061,123,394,895,700,878,479,908,179,748,851,919,662,204,969,506,
930,775,186,045,034,825,802,261,234,226,841,153,500,353,849,089,737,357,561,
230,097,625,777,250,918,399,884,909,036,621,832,699,824,803,158,803,005,252,
257,543,632,709,966,559,339,632,172,104,007,627,369,203,351,817,558,225,937,
127,948,927,199,508,514,661,739,920,940,553,952,192,452,297,870,452,809,533,
421,736,817,093,064,630,281,212,217,172,198,367,226,258,331,406,086,568,954,
929,451,775,332,691,466,315,478,357,393,111,028,113,517,222,614,474,512,734,
466,937,415,501,434,638,995,937,302,451,600,795,521,838,781,444,471,039,531,
143,510,122,330,955,244,556,740,093,604,072,644,802,434,506,215,748,697,581,
989,783,548,533,948,663,316,609,472,489,994,472,767,269,889,120,688,326,795,
826,958,986,622,370,972,908,434,302,940,407,937,679,634,298,739,623,247,957,
603,950,361,185,056,896,168,380,282,064,589,838,453,126,922,613,279,152,608,
415,721,044,678,899,619,408,236,648,378,114,470,087,220,359,024,533,249,064,
732,943,256,432,782,316,929,794,152,661,697,825,894,137,057,592,190,576,154,
380,500,373,400,598,349,770,350,567,562,720,010,808,304,166,351,067,456,946,
380,932,371,007,503,378,157,699,370,275,628,360,949,625,319,364,088,770,611,
439,290,619,418,366,026,596,662,190,671,692,057,361,892,381,634,790,633,502,
484,111,588,783,616,099,931,352,164,276,607,025,651,632,240,211,349,422,007,
481,964,156,317,627,800,460,410,577,021,566,356,897,215,350,020,461,835,896,
555,532,448,033,085,034,885,726,449,243,793,299,222,491,242,252,220,925,359,
866,085,906,609,792,358,544,513,872,425,528,821,492,698,320,599,154,848,567,
680,830,818,566,037,751,233,578,381,510,139,512,342,970,793,591,937,002,525,
459,369,319,919,411,123,079,331,183,206,304,331,415,896,960,282,166,283,717,
684,451,791,330,790,295,073,459,016,016,964,863,856,217,809,758,820,621,354,
094,465,946,322,068,286,436,683,435,263,768,155,081,619,313,294,843,404,017,
828,275,282,655,437,723,419,941,142,614,138,386,889,999,927,740,190,874,482,
369,594,388,276,668,189,337,019,653,923,882,930,480,987,605,510,878,500,803,
572,807,455,395,771,873,923,880,785,669,468,620,119,537,169,283,404,360,905,
541,554,314,668,538,729,631,570,027,699,766,853,062,692,316,173,160,896,360,
407,534,136,150,389,010,895,111,398,500,728,097,241,710,553,586,372,630,288,
952,222,468,406,543,905,343,048,858,862,040,283,484,921,913,766,441,145,419,
883,273,519,581,407,195,652,808,211,793,974,759,398,634,575,445,571,928,502,
689,538,667,051,133,360,807,427,295,029,997,428,567,865,213,376,228,885,351,
385,417,458,333,746,458,988,009,135,568,662,628,099,410,774,540,953,203,681,
062,731,710,596,971,087,935,732,804,217,483,682,759,975,527,688,050,939,472,
619,548,298,816,247,621,204,919,788,219,782,590,451,859,604,388,264,982,957,
140,876,374,971,602,060,390,462,835,759,024,339,124,260,750,841,810,126,823,
619,312,008,909,353,964,863,722,903,915,470,344,134,916,372,930,878,076,991,
416,924,116,915,929,226,146,924,314,527,320,040,532,673,118,339,103,130,574,
819,309,170,549,525,180,642,165,623,285,213,113,016,807,003,476,307,310,364,
054,510,972,570,725,420,689,712,896,205,354,627,424,080,716,056,177,693,600,
586,072,088,462,525,662,244,020,888,097,684,319,546,068,196,548,262,862,394,
309,767,782,377,303,901,268,875,329,915,634,151,952,325,443,223,277,798,097,
787,060,916,348,564,217,051,423,502,606,247,017,622,289,156,144,382,883,095,
148,737,340,338,426,310,656,538,768,666,849,529,640,353,308,538,675,685,690,
682,653,386,908,341,117,617,531,783,557,144,910,954,646,917,056,685,806,330,
713,775,471,706,426,502,581,515,304,627,979,972,078,089,994,887,463,464,882,
029,881,989,726,007,193,863,493,679,689,130,879,432,010,574,047,071,625,096,
857,587,289,591,748,952,872,688,462,486,854,373,726,789,485,012,992,056,560,
095,996,952,170,779,872,944,755,573,588,524,342,596,378,957,021,347,586,598,
002,878,268,971,361,035,669,715,142,079,189,742,024,884,220,465,289,351,811,
557,884,413,875,021,213,377,382,385,483,473,107,888,551,120,287,161,646,058,
350,614,142,776,569,797,700,644,620,386,276,458,879,388,685,113,094,753,900,
443,177,992,656,357,136,575,040,100,404,945,838,326,331,069,546,020,485,036,
686,046,050,240,286,808,405,783,764,231,376,528,932,988,936,967,181,983,554,
736,145,380,341,729,201,607,298,106,288,163,749,903,246,021,154,002,490,168,
989,969,844,092,683,431,788,556,228,718,469,304,982,508,229,242,064,866,540,
934,317,635,634,126,544,575,474,717,519,753,790,326,523,214,099,392,709,069,
637,758,438,024,847,798,226,086,291,293,158,283,891,090,163,128,573,753,580,
245,067,014,306,272,594,364,633,851,960,682,450,606,619,841,475,727,167,894,
108,498,853,648,139,845,057,806,176,173,934,139,284,685,187,193,567,530,153,
614,153,889,346,169,199,881,208,938,144,043,984,491,438,621,848,367,613,552,
542,155,204,620,006,295,882,107,128,578,577,558,927,170,161,615,754,815,444,
786,047,116,036,535,615,119,650,759,568,241,742,541,842,871,077,968,351,523,
839,760,857,508,564,697,272,631,967,889,186,782,599,534,779,752,746,621,363,
260,045,012,810,113,665,443,753,554,048,776,515,645,510,804,263,752,632,884,
723,049,781,201,089,112,911,096,152,241,588,960,264,164,994,548,505,908,973,
953,380,036,493,964,284,134,788,895,488,801,768,199,147,716,228,086,917,002,
751,447,407,917,996,028,627,726,456,652,537,900,351,984,278,287,269,546,964,
732,259,153,193,427,039,868,330,032,610,946,119,953,148,367,181,953,202,542,
544,044,980,162,429,047,905,410,578,424,104,335,665,399,839,437,737,103,890,
698,591,007,959,881,216,361,532,184,041,297,527,500,303,125,324,538,362,573,
058,477,278,456,561,933,265,258,645,887,369,047,027,620,410,560,148,548,381,
562,129,722,553,376,815,085,066,955,750,129,674,313,960,630,541,650,743,828,
670,766,016,725,802,080,950,672,784,797,166,191,176,160,969,388,948,030,545,
687,658,753,539,194,979,584,148,417,987,063,655,178,574,500,885,731,227,902,
591,439,222,641,623,051,819,229,570,560,673,614,676,816,718,966,930,308,008,
139,206,463,375,184,333,856,934,501,344,754,196,680,337,175,865,711,610,396,
320,228,264,437,180,267,466,654,067,053,597,471,972,600,442,993,847,588,339,
908,041,368,619,373,072,163,380,680,042,737,099,622,835,826,963,585,389,278,
154,339,462,673,556,654,969,156,492,489,177,774,798,698,972,068,166,326,469,
213,019,176,192,377,535,653,135,885,088,742,889,101,024,406,646,991,717,476,
309,293,723,403,123,097,624,877,614,161,190,571,004,035,636,049,328,358,426,
676,741,679,230,034,058,436,073,075,135,847,474,494,124,381,252,883,714,356,
938,356,444,988,972,534,527,670,920,152,443,702,194,861,055,836,518,852,390,
139,301,305,298,259,322,269,832,617,051,403,493,617,631,608,261,389,589,800,
341,056,264,475,835,078,072,015,117,506,994,754,482,387,206,752,274,128,716,
874,003,209,276,666,651,483,567,095,868,720,340,334,845,179,129,587,713,784,
057,128,434,245,440,398,285,034,342,939,835,736,530,639,331,601,350,185,206,
143,338,704,955,185,140,418,618,197,881,751,686,713,527,616,259,798,518,469,
599,927,552,495,606,639,539,042,402,625,420,000,678,697,049,931,104,834,324,
042,405,019,667,484,871,865,261,247,926,001,390,579,427,799,426,624,785,979,
984,142,545,502,810,579,999,500,115,829,126,174,781,955,531,708,138,676,759,
817,962,165,694,808,238,661,702,478,049,777,566,241,611,175,887,747,937,524,
553,312,049,536,134,628,704,031,364,340,055,113,414,528,411,285,039,575,496,
510,414,100,782,004,515,890,919,085,452,339,553,665,119,771,669,028,023,377,
524,929,049,696,806,397,736,395,021,744,712,463,423,404,548,164,343,106,207,
789,290,585,192,672,759,108,733,283,473,395,802,803,241,077,670,961,083,500,
575,358,222,016,868,476,812,044,662,416,125,360,787,848,852,642,906,817,480,
312,582,648,554,238,957,634,574,007,755,094,468,717,599,498,874,645,931,263,
485,671,782,030,020,687,924,911,052,948,175,618,665,310,473,767,957,555,722,
360,754,381,518,784,435,976,087,393,520,000,742,241,206,214,533,886,600,417,
004,808,126,328,128,784,623,548,281,366,883,610,526,737,489,179,760,616,027,
071,459,964,436,478,564,701,819,471,494,790,563,194,141,853,798,011,539,267,
081,980,197,564,950,523,916,095,395,646,607,993,279,383,479,314,917,856,834,
608,087,030,199,170,093,208,229,150,314,440,029,751,200,855,589,237,531,380,
071,481,929,491,937,562,697,703,979,390,243,760,455,104,615,625,257,494,905,
361,694,004,171,667,638,589,851,973,861,949,921,361,021,039,123,446,855,745,
470,933,738,212,013,230,771,528,873,366,616,735,539,072,683,267,897,624,545,
246,620,212,433,510,570,798,000,236,779,820,025,297,985,955,629,960,040,514,
625,869,124,893,670,547,010,621,518,408,579,658,252,713,624,578,795,026,778,
731,408,704,190,562,346,925,271,585,848,612,280,418,595,718,457,900,760,726,
592,204,984,202,337,722,886,385,030,300,259,940,796,511,716,898,441,189,455,
557,112,015,823,721,046,759,992,101,538,067,951,095,845,890,163,508,179,952,
469,787,044,192,981,658,031,646,338,277,346,470,014,787,494,216,795,488,145,
579,978,609,820,900,285,717,206,762,511,291,436,923,249,839,474,554,526,717,
744,682,557,172,652,025,709,637,279,005,662,195,624,872,955,091,784,283,364,
466,721,791,145,011,979,577,308,486,123,384,890,355,257,006,197,648,150,253,
775,391,685,536,364,158,225,276,188,332,334,926,736,282,425,384,131,331,012,
910,110,428,732,856,613,517,439,396,562,465,118,567,089,924,692,785,947,574,
557,371,129,997,292,541,876,408,216,750,784,687,468,671,344,580,409,222,074,
921,399,634,204,992,002,867,008,536,534,555,036,450,398,089,447,569,989,662,
706,773,573,129,287,660,633,817,005,362,269,965,496,378,020,293,259,013,127,
606,550,730,157,989,595,052,741,161,375,789,323,304,223,291,196,502,416,901,
343,173,844,469,094,345,223,603,878,026,696,646,204,818,381,509,974,086,221,
726,310,100,269,129,778,148,333,115,569,263,050,595,218,945,600,951,984,389,
534,948,899,965,830,244,233,104,055,903,310,591,139,957,641,109,248,303,863,
764,334,705,218,169,748,244,343,407,169,645,240,122,111,816,297,365,299,158,
016,740,303,629,059,821,703,283,121,376,962,179,008,549,415,503,594,952,708,
564,784,039,660,201,689,870,274,456,303,713,860,086,350,082,781,588,005,618,
892,697,235,155,395,273,725,814,816,086,484,546,450,016,978,432,730,910,995,
356,752,579,627,958,260,406,934,279,439,589,016,296,073,603,944,815,698,444,
259,080,383,346,227,899,640,480,519,335,671,557,356,132,201,724,508,223,024,
120,270,203,426,144,353,527,465,458,648,722,042,573,282,190,124,769,514,479,
472,280,575,800,503,704,505,844,001,147,278,781,606,358,863,421,956,521,691,
225,895,937,508,393,493,825,712,666,923,262,127,890,237,162,779,505,978,107,
047,853,580,289,339,935,547,222,355,016,729,411,155,176,803,266,423,886,695,
006,932,131,186,706,333,727,668,797,830,360,662,711,048,125,612,825,687,221,
050,985,486,184,878,689,464,441,663,751,341,720,654,263,583,642,516,052,230,
844,068,370,080,777,335,169,026,073,444,982,853,223,032,223,188,178,087,248,
425,219,931,739,228,303,538,528,047,177,820,576,153,795,912,232,726,131,125,
520,970,069,211,524,835,313,363,985,927,283,121,455,927,015,269,911,241,307,
012,044,554,251,864,013,113,531,915,382,683,351,063,647,924,535,669,631,122,
184,708,859,313,845,384,132,997,014,604,223,608,389,544,111,746,126,149,470,
874,368,200,543,636,262,234,704,804,895,752,679,624,077,676,235,394,792,582,
518,819,303,940,223,752,778,755,431,868,178,611,193,518,916,612,490,511,963,
525,832,935,887,998,146,903,452,273,576,038,323,098,700,352,152,944,648,114,
570,078,549,959,392,294,197,502,343,646,109,183,801,584,421,810,333,161,260,
628,951,967,016,901,438,807,248,685,613,963,054,175,793,118,880,822,028,701,
083,841,752,571,974,607,407,662,970,781,866,069,263,920,028,571,210,113,191,
023,161,264,853,455,344,090,862,238,785,775,754,063,676,036,570,358,576,713,
885,766,489,673,860,576,382,768,042,901,790,365,387,515,466,138,307,631,410,
105,398,818,214,043,956,801,650,232,202,402,507,154,712,656,294,063,470,615,
080,916,813,919,110,454,678,279,214,785,078,163,522,563,207,058,329,539,071,
360,134,316,548,604,092,464,749,600,571,384,112,637,521,309,030,023,632,597,
635,044,095,276,419,182,309,145,050,535,174,310,732,385,963,626,773,239,774,
488,120,395,094,920,025,633,811,642,794,435,028,249,338,606,355,915,298,266,
759,226,908,385,996,621,202,763,019,491,651,528,330,710,802,143,134,902,002,
334,379,943,165,136,088,813,023,583,404,295,165,561,017,220,824,480,170,883,
123,231,065,425,432,424,792,724,993,619,957,010,470,068,491,149,038,108,086,
910,271,926,057,958,715,759,818,245,987,760,360,842,043,185,225,369,428,264,
700,950,904,089,289,776,044,278,429,681,865,050,921,778,564,034,177,392,622,
814,591,000,992,053,038,406,087,627,986,010,305,706,458,413,575,412,365,625,
937,041,880,773,189,303,317,127,241,014,742,089,959,448,000,611,907,203,503,
198,462,104,706,304,913,520,725,090,088,139,479,237,545,555,013,627,902,584,
833,608,306,074,237,818,843,401,205,429,218,543,896,450,620,592,583,006,225,
600,797,458,027,927,800,903,303,739,282,721,063,175,848,281,047,141,726,317,
117,271,676,614,984,124,230,324,248,741,969,484,468,711,108,410,068,468,044,
373,541,387,883,866,199,666,723,881,131,303,340,398,885,706,173,648,577,712,
522,128,155,026,267,846,250,524,680,343,638,695,669,120,865,931,898,907,719,
765,495,365,947,423,834,394,546,066,790,534,245,420,738,206,035,666,406,698,
275,400,711,757,413,357,093,230,011,138,672,936,764,475,582,094,537,159,642,
733,658,859,778,878,798,706,697,919,310,721,902,802,740,655,840,035,448,211,
220,966,222,462,399,263,687,818,813,495,758,314,704,301,563,798,836,247,895,
161,705,530,664,112,963,702,890,342,569,066,912,658,406,720,920,390,307,746,
926,819,089,901,598,608,816,230,697,930,134,178,573,505,659,175,694,141,488,
121,758,913,950,578,671,127,341,071,286,093,297,032,632,337,846,695,654,863,
807,226,489,577,998,082,027,546,112,098,711,028,726,943,408,914,188,794,662,
550,205,971,269,963,176,960,813,863,391,129,988,947,928,118,523,743,668,156,
284,640,359,055,976,226,198,968,316,132,100,376,254,629,733,471,392,342,097,
711,913,459,770,122,982,499,114,239,476,591,996,716,187,178,043,171,109,274,
320,886,335,618,556,079,967,237,861,657,689,844,344,310,461,646,586,516,209,
163,056,168,653,223,239,666,988,829,271,212,358,878,903,207,919,588,160,966,
749,536,964,447,178,822,755,118,117,391,507,736,913,419,931,600,631,651,465,
364,338,506,365,829,792,962,987,479,182,163,770,118,529,320,666,906,002,659,
270,541,709,960,896,057,222,092,086,073,023,084,849,863,248,964,213,906,640,
217,537,395,110,920,295,756,318,547,473,231,177,117,408,065,816,563,742,109,
020,889,032,993,481,295,982,049,841,626,780,019,314,403,529,078,812,568,435,
227,220,907,777,645,143,383,097,224,638,286,624,734,445,776,731,702,816,948,
975,068,764,400,300,455,968,721,567,146,107,963,200,323,790,899,440,895,310,
415,811,192,252,604,437,656,921,704,284,820,105,469,649,279,614,322,596,232,
317,488,556,457,700,128,437,313,369,697,348,995,887,496,185,110,702,747,319,
376,963,260,493,089,953,691,694,811,693,865,183,306,810,749,365,100,582,040,
918,650,779,802,324,965,827,795,043,351,205,015,342,548,380,478,522,916,374,
291,564,063,313,165,099,505,990,533,967,298,044,538,055,108,733,855,766,042,
638,597,243,487,555,766,075,950,619,672,465,205,423,125,619,172,434,846,836,
991,135,857,284,843,639,277,321,111,254,518,204,842,090,619,402,941,125,671,
803,410,347,382,187,116,247,680,254,907,295,373,809,799,240,184,814,753,268,
689,785,993,754,673,920,010,625,616,298,500,566,848,359,300,177,707,510,717,
269,008,657,685,415,481,546,233,396,038,970,726,521,264,633,914,761,920,960,
215,324,770,467,657,900,137,729,797,509,709,915,977,177,472,598,967,179,199,
992,748,773,310,921,406,560,976,896,615,098,492,721,723,165,049,636,546,284,
417,526,539,761,634,552,751,470,221,274,795,369,312,026,580,831,256,168,766,
991,413,498,991,213,659,855,465,029,006,654,825,452,006,426,101,417,964,870,
399,307,394,232,244,891,370,631,557,745,177,439,864,411,085,028,496,892,220,
054,601,580,542,655,991,518,660,791,601,613,794,464,527,833,671,772,772,935,
902,508,359,065,784,361,786,353,752,754,416,616,924,395,546,586,118,264,645,
786,012,894,208,903,377,456,543,560,957,547,262,983,076,645,646,622,774,813,
230,082,606,553,695,864,102,945,825,101,115,197,413,739,445,940,270,360,562,
579,311,049,425,081,101,692,658,538,572,101,325,455,119,629,887,501,433,218,
899,840,953,434,145,619,405,629,132,254,591,375,291,892,259,729,021,049,157,
864,340,758,693,895,003,091,614,444,254,372,930,888,968,390,695,712,767,350,
528,650,514,167,733,837,641,053,195,308,657,880,897,388,016,494,972,239,221,
674,122,271,044,942,930,571,367,303,316,459,848,857,554,266,381,750,960,150,
267,531,307,641,417,545,395,634,781,119,779,077,707,517,042,455,336,699,525,
833,409,163,440,113,964,428,222,976,837,356,461,444,832,876,436,918,467,824,
675,354,926,247,289,106,624,163,165,839,248,928,414,783,662,937,665,144,235,
411,884,904,919,645,747,946,833,345,804,814,453,029,328,374,987,132,400,057,
391,378,039,330,146,412,476,195,896,639,003,999,236,500,458,345,731,979,087,
396,816,489,179,099,419,127,924,175,780,095,824,759,063,099,169,818,290,340,
581,244,946,330,444,353,814,375,635,046,522,985,260,385,901,046,442,613,880,
583,549,898,805,356,766,944,666,960,641,152,865,794,831,806,121,207,494,201,
667,558,636,748,035,840,368,883,405,415,267,261,441,749,988,378,559,521,111,
452,085,422,793,380,482,246,245,544,827,683,894,280,694,822,706,478,545,276,
011,960,189,986,169,755,648,130,842,816,233,693,075,936,339,202,495,012,780,
824,094,086,399,057,683,849,318,413,090,369,549,322,086,084,757,573,757,462,
582,136,836,618,368,750,298,592,250,618,962,297,343,840,391,206,994,383,812,
564,045,004,050,435,353,969,350,958,575,963,156,606,510,362,930,790,991,913,
948,991,112,815,980,878,951,838,777,215,692,738,524,174,222,029,940,956,055,
891,735,422,226,571,684,677,129,066,030,007,280,353,126,629,714,693,580,385,
220,193,893,604,684,779,876,290,399,306,733,923,400,191,901,611,244,171,766,
313,086,015,336,123,767,058,929,745,481,191,670,281,585,201,136,891,285,457,
825,732,807,694,697,282,673,761,906,068,200,824,241,746,137,548,961,342,682,
429,908,883,330,962,203,967,528,282,796,975,843,847,913,824,168,837,064,212,
625,972,532,452,587,274,630,018,652,024,444,128,466,919,249,537,849,132,591,
767,897,294,324,781,111,522,358,329,568,316,753,905,041,987,041,845,624,472,
730,880,793,810,262,753,348,331,510,455,046,550,162,787,454,188,158,275,303,
932,292,568,005,229,053,262,402,670,552,056,480,420,435,631,428,893,539,379,
424,971,890,544,939,663,358,358,958,000,621,725,254,160,272,571,123,359,530,
182,697,243,988,373,847,033,850,315,750,358,358,341,764,322,231,333,513,682,
206,500,234,569,577,543,716,780,023,717,239,095,695,767,608,176,868,147,810,
222,848,558,656,982,113,378,867,236,974,516,136,776,851,737,084,028,983,146,
206,574,962,072,164,554,259,525,121,412,778,512,190,033,272,670,036,220,543,
392,176,116,380,698,159,633,999,674,999,004,475,865,012,984,933,751,125,620,
403,038,260,036,479,754,357,651,060,875,372,062,698,277,439,246,386,781,296,
181,644,693,648,109,962,002,833,029,374,535,034,742,627,584,749,971,481,953,
697,175,325,684,369,531,693,040,002,629,398,689,887,366,397,732,795,971,799,
449,005,566,207,712,182,482,297,714,375,038,223,393,189,681,907,828,424,541,
027,830,473,175,964,441,466,351,333,565,576,364,956,037,258,689,268,439,448,
134,299,678,308,106,560,314,725,059,165,813,670,592,995,057,808,266,372,091,
259,626,604,902,306,869,915,844,179,469,004,952,449,354,119,845,678,913,440,
938,885,080,539,165,794,316,170,209,379,215,118,328,622,297,759,676,258,298,
045,135,385,157,186,062,100,957,578,325,216,210,952,817,114,053,945,000,747,
885,068,338,456,922,030,627,036,794,426,819,396,150,064,108,191,948,742,783,
729,732,319,801,539,638,498,725,978,737,860,134,997,690,703,500,796,836,978,
467,415,712,413,213,389,383,482,424,434,488,021,931,678,718,053,053,438,425,
969,896,707,371,507,936,425,904,036,000,252,811,576,410,326,099,828,250,690,
060,724,665,014,372,663,890,568,961,978,719,503,256,243,140,856,274,414,107,
385,628,858,733,143,438,908,861,190,948,662,001,637,758,795,051,467,461,507,
500,160,821,711,963,434,249,429,042,305,348,474,288,514,987,893,268,126,653,
622,015,987,490,980,391,863,915,679,952,623,254,805,829,696,914,471,605,097,
552,106,120,655,469,974,030,049,653,413,456,439,429,938,542,597,029,207,897,
310,952,189,707,763,101,271,267,707,934,367,919,297,619,309,590,265,910,968,
159,556,769,840,887,986,342,580,558,747,413,972,128,121,616,965,439,288,850,
058,427,624,834,257,759,772,156,971,372,223,131,487,277,676,693,181,581,591,
955,746,674,029,933,979,263,029,443,249,631,581,530,147,510,586,361,289,398,
235,900,988,137,734,879,900,676,166,540,338,929,474,321,222,485,304,564,873,
225,063,209,269,836,494,573,638,746,800,868,334,602,313,231,619,120,568,044,
974,505,258,481,811,468,380,877,370,077,956,223,327,322,541,693,693,528,275,
191,837,125,146,213,653,697,254,342,495,002,898,874,068,835,389,104,819,982,
559,652,215,421,708,443,557,054,110,328,772,105,828,418,133,236,182,724,743,
478,254,089,792,470,807,488,208,395,159,468,174,093,782,879,653,259,698,344,
551,806,085,574,405,372,955,811,377,790,677,678,243,195,452,917,177,179,067,
785,891,267,718,574,920,549,891,214,449,157,323,552,839,734,125,977,073,237,
291,915,773,634,076,599,141,729,540,772,073,319,529,733,306,194,685,763,649,
402,628,589,051,832,235,407,643,647,005,768,851,606,127,423,536,850,428,169,
146,619,036,077,436,919,612,451,926,104,068,662,825,017,625,213,305,912,503,
685,555,727,921,179,158,622,622,734,144,355,365,678,622,687,077,196,754,855,
742,557,081,859,463,515,073,136,796,940,683,349,439,739,171,166,128,440,886,
827,883,150,538,798,882,085,974,750,736,980,883,492,394,124,680,538,712,102,
957,056,511,387,479,785,982,953,337,911,737,356,671,608,102,848,507,647,227,
759,319,798,990,460,148,813,263,047,111,722,956,964,136,446,264,363,116,595,
331,791,396,516,655,162,561,971,780,913,461,674,488,000,990,167,761,569,190,
580,737,928,934,261,044,653,889,833,305,838,015,919,146,059,088,917,803,067,
329,221,188,113,132,536,013,336,189,877,816,371,131,312,891,389,218,556,834,
318,931,278,683,947,616,207,637,945,950,905,464,133,853,521,120,950,073,875,
263,229,436,193,347,871,024,702,312,035,295,171,962,266,916,790,890,187,750,
193,965,414,200,504,901,137,959,983,605,947,791,516,989,500,499,379,926,654,
296,278,869,808,631,185,098,587,954,120,361,381,685,485,370,727,272,119,260,
000,886,916,276,923,741,760,222,203,927,973,519,331,268,602,129,836,413,314,
099,782,063,874,319,365,275,893,813,089,994,338,022,092,350,792,613,266,031,
175,738,830,962,932,879,059,797,997,768,331,552,481,575,329,185,064,890,651,
651,867,645,062,887,205,972,770,955,926,329,635,020,169,838,684,632,794,964,
125,162,830,807,837,624,861,749,751,055,895,626,766,289,856,191,935,826,923,
809,581,282,400,987,732,700,007,890,959,203,815,652,195,420,849,621,046,793,
619,756,465,109,634,892,514,753,738,264,948,822,997,200,130,761,360,128,046,
874,349,909,507,245,398,688,021,582,990,519,831,048,231,219,176,193,701,869,
494,459,221,785,861,607,906,024,008,733,183,948,710,100,392,956,703,115,797,
405,089,666,913,515,830,618,459,512,259,947,614,143,281,871,928,406,294,421,
256,993,157,546,193,124,386,065,645,070,759,557,400,189,004,068,030,378,310,
999,196,486,591,183,345,352,370,393,070,970,367,357,000,764,252,106,570,390,
300,820,507,151,079,192,202,956,362,266,338,497,875,810,652,965,757,124,337,
846,893,253,715,606,376,057,374,360,386,153,944,649,578,463,105,171,632,070,
557,835,813,055,997,705,460,167,668,599,590,736,764,411,219,672,109,617,562,
722,757,966,068,549,038,704,299,156,595,646,324,992,660,788,078,352,730,429,
785,594,527,481,040,463,846,537,110,481,052,484,096,786,578,883,935,212,385,
101,780,025,225,694,921,396,566,357,179,191,102,418,721,481,202,478,745,059,
743,852,039,964,670,869,689,383,346,675,836,396,268,086,454,408,196,225,413,
432,035,138,048,443,660,640,657,362,965,655,583,431,375,231,305,462,777,982,
646,747,226,186,737,361,530,415,157,866,635,662,773,467,059,267,898,525,229,
158,140,701,839,043,740,025,832,847,303,188,654,010,376,040,454,258,476,451,
244,754,532,784,576,191,867,882,000,333,444,558,541,680,436,872,667,652,654,
902,333,879,510,679,504,659,411,719,216,618,525,153,294,420,483,073,258,316,
449,442,076,447,237,169,682,628,067,716,814,848,627,687,492,707,357,365,465,
837,160,366,518,479,619,835,733,987,898,394,507,352,844,066,057,586,669,579,
831,300,200,992,191,991,742,083,292,310,902,186,262,795,339,077,842,777,256,
433,076,957,462,132,079,029,427,205,291,194,665,589,226,390,240,663,832,007,
530,648,832,206,608,842,780,717,944,019,404,791,844,721,822,584,191,825,504,
750,949,452,228,404,183,145,830,904,605,496,767,857,025,244,361,877,977,438,
153,599,532,827,415,835,371,149,882,970,526,476,657,876,024,827,047,696,206,
242,797,193,867,037,521,623,703,173,437,481,245,338,602,910,675,699,262,515,
888,457,931,862,987,068,182,357,813,097,140,326,668,292,095,168,799,402,505,
055,139,543,978,570,527,724,167,175,984,478,130,460,708,738,886,569,400,289,
596,591,565,915,790,961,820,342,653,137,113,437,655,656,978,381,383,598,280,
017,605,691,596,713,288,312,610,415,647,237,507,611,205,234,037,025,018,354,
975,115,785,150,641,228,534,226,502,785,324,023,861,406,389,384,815,335,051,
175,470,223,244,978,812,352,019,172,630,336,772,327,394,056,683,141,482,473,
081,840,352,969,133,978,751,573,162,981,156,681,245,972,820,675,189,129,559,
909,413,739,216,533,380,591,356,639,927,061,007,174,338,112,865,788,207,770,
555,181,662,053,850,328,555,206,385,210,342,834,595,489,966,597,527,510,316,
532,423,643,441,365,709,422,618,005,987,495,640,340,806,803,632,949,309,435,
235,671,275,705,475,147,448,449,455,744,381,215,786,688,313,452,849,219,221,
431,483,344,232,120,763,553,096,966,667,125,174,022,477,241,158,447,743,389,
655,698,352,812,647,131,191,506,399,700,888,593,772,605,261,593,227,984,120,
717,034,324,602,430,993,252,315,720,636,019,882,782,101,696,170,329,351,737,
414,185,055,180,117,906,422,587,141,533,211,879,795,596,021,545,018,554,656,
125,424,185,216,351,652,629,836,943,347,932,237,562,758,383,234,151,736,883,
152,532,250,477,959,966,254,707,824,470,242,434,227,533,607,067,965,133,322,
096,995,934,958,299,237,214,578,075,877,724,106,640,979,275,515,366,717,070,
610,941,139,765,390,447,850,567,276,427,003,041,582,193,228,389,939,114,916,
026,885,312,913,528,379,573,841,227,215,591,870,715,679,271,918,371,479,071,
318,592,918,311,764,538,316,344,399,023,843,288,091,020,593,293,826,681,758,
696,642,939,395,582,183,516,082,291,788,055,591,055,295,152,457,573,251,524,
974,877,810,889,280,690,310,980,884,176,307,958,052,504,340,898,855,869,376,
409,195,068,686,999,447,015,708,116,076,592,994,786,932,379,383,065,601,776,
428,708,310,773,281,723,821,171,156,374,830,126,019,981,192,252,063,659,043,
251,524,730,027,616,224,001,329,348,993,833,006,427,136,453,061,760,503,203,
649,641,316,801,818,118,452,480,231,229,125,682,215,136,210,627,006,980,594,
786,991,367,189,412,961,970,650,380,831,441,758,310,075,684,122,187,494,840,
948,230,414,343,545,947,034,226,464,126,295,137,725,777,067,034,213,885,924,
521,104,395,425,528,227,334,430,021,025,696,548,976,044,627,801,417,731,434,
515,191,265,819,467,337,228,121,349,283,781,037,452,139,352,158,252,698,112,
373,184,734,417,714,561,665,266,978,336,478,230,158,570,060,002,052,039,733,
779,095,931,595,543,441,312,316,558,337,136,640,580,003,234,531,927,812,612,
693,979,511,552,007,623,293,615,087,820,002,116,564,604,328,758,778,125,332,
030,130,716,419,463,644,134,953,915,489,836,496,442,017,207,832,908,767,502,
893,512,735,963,169,321,102,485,036,747,294,475,520,678,618,927,055,507,468,
823,637,271,247,531,347,228,251,907,518,801,941,891,210,042,307,799,728,688,
307,170,355,957,590,593,219,583,012,852,549,594,980,344,830,015,483,554,263,
453,696,633,023,389,690,061,537,510,851,881,724,868,922,866,580,995,329,163,
787,833,799,258,839,989,043,959,830,856,031,724,627,868,953,175,194,184,475,
411,182,654,453,498,965,349,479,976,478,126,295,209,435,398,805,077,450,348,
513,305,613,573,168,671,588,175,760,583,138,223,587,512,684,085,772,176,290,
089,198,688,257,737,329,870,732,635,724,381,181,745,594,383,185,442,479,325,
024,208,096,007,951,873,449,056,539,862,951,748,324,395,652,978,488,387,383,
312,843,431,714,588,355,593,593,298,066,030,941,195,803,587,478,528,826,065,
532,928,318,935,278,144,279,129,166,143,664,439,578,504,517,555,628,485,253,
707,180,586,209,511,642,057,150,718,493,174,984,509,874,350,557,372,598,739,
715,561,418,685,728,515,373,255,468,213,725,445,336,805,904,148,097,755,131,
808,557,684,136,512,047,744,986,357,137,311,731,114,382,894,829,922,107,304,
075,380,225,774,280,323,323,661,467,489,657,116,470,653,278,516,870,025,412,
280,724,938,516,963,665,319,323,297,564,810,545,421,685,302,718,207,813,311,
796,414,113,565,488,625,252,514,277,128,310,751,231,112,592,281,692,156,622,
371,684,618,072,722,526,127,762,190,208,307,370,293,139,237,514,710,601,636,
492,942,630,156,933,049,290,697,792,057,231,807,273,469,843,449,187,452,946,
140,018,387,871,647,207,851,449,275,591,404,243,299,985,851,428,040,278,476,
457,843,125,179,058,237,732,674,718,878,118,643,387,273,550,498,587,678,355,
806,949,581,206,780,340,938,027,392,667,457,088,237,110,551,231,559,601,818,
041,316,977,263,068,942,659,439,793,812,515,659,557,491,810,608,336,696,491,
729,760,710,446,962,858,070,012,440,748,141,738,921,049,637,083,957,825,553,
262,151,567,213,446,114,072,802,043,970,830,447,047,658,868,321,705,643,493,
995,404,298,940,123,401,509,429,223,637,518,584,094,513,751,656,116,371,737,
058,713,555,807,333,419,016,551,064,078,197,996,680,923,647,533,465,714,076,
914,943,352,008,941,730,664,719,392,545,870,941,304,360,757,451,295,940,867,
332,925,017,618,842,571,537,037,260,064,056,800,761,876,444,640,877,041,416,
839,624,908,229,060,224,043,930,737,999,384,855,748,102,421,791,938,700,082,
942,375,023,389,696,110,359,010,868,774,936,369,231,542,329,230,567,963,239,
230,330,761,057,108,105,567,163,586,197,768,594,645,559,239,225,383,548,018,
997,559,190,761,102,937,647,691,801,941,896,442,468,920,717,347,387,938,032,
575,721,961,253,869,705,069,227,191,645,868,258,248,137,702,642,227,501,101,
761,626,497,878,016,256,695,988,376,421,376,592,625,923,874,249,774,835,559,
001,775,460,447,545,496,847,514,128,219,093,681,455,112,112,024,797,137,880,
701,775,155,549,634,612,640,570,760,579,481,009,742,673,785,236,147,888,644,
462,518,524,275,358,059,800,088,341,476,157,420,639,464,690,410,368,222,504,
910,264,217,953,998,657,257,280,199,445,930,537,424,885,902,768,778,613,918,
546,845,506,989,746,195,362,295,337,210,427,226,314,033,219,744,285,613,717,
851,402,479,244,938,749,723,368,612,060,714,027,679,936,771,314,768,513,377,
222,879,643,286,171,776,800,031,272,391,194,749,812,051,291,496,022,513,264,
754,994,880,875,382,545,744,609,357,047,831,203,258,996,272,647,491,080,907,
111,414,723,307,956,915,533,159,022,097,022,182,895,624,208,302,739,557,883,
490,204,074,456,763,463,371,832,003,001,352,622,983,184,995,229,463,295,238,
923,932,394,990,941,105,493,007,940,622,432,545,532,240,814,565,146,103,920,
218,807,538,126,171,291,637,967,084,334,403,797,853,120,425,883,891,269,675,
241,522,214,192,806,475,296,772,225,695,342,795,257,883,404,855,338,202,414,
475,439,332,205,325,748,359,467,475,944,796,785,917,237,322,241,855,807,727,
327,663,686,603,250,947,341,601,470,410,206,897,031,305,315,654,006,984,552,
716,459,668,322,303,081,402,614,636,175,140,478,708,551,443,240,507,165,175,
959,836,881,190,375,559,249,983,010,292,126,591,097,144,838,648,003,501,086,
296,168,846,731,258,041,972,077,333,262,239,834,312,186,888,011,084,831,190,
010,849,693,005,181,856,003,546,733,001,933,365,171,912,519,809,029,007,097,
421,003,811,652,308,469,659,263,987,534,381,384,245,915,281,020,903,118,920,
569,432,524,059,505,997,153,076,483,797,913,352,040,938,798,081,421,194,718,
381,755,298,124,073,069,033,659,697,089,627,144,894,781,388,516,820,331,142,
563,869,339,499,398,332,828,757,357,935,142,003,070,357,594,638,055,780,320,
036,570,475,212,805,984,900,842,876,356,404,849,256,136,345,779,635,325,603,
974,159,610,127,886,859,972,873,442,713,378,749,078,786,073,761,441,434,992,
871,492,396,059,406,699,892,443,885,804,558,435,377,985,340,851,289,813,562,
983,620,653,422,400,393,199,780,684,768,581,993,898,226,820,471,079,614,085,
020,558,615,843,908,981,456,680,061,757,847,448,037,031,467,925,794,430,807,
051,080,388,713,771,491,500,724,665,785,064,526,195,324,083,473,901,010,325,
313,300,746,248,833,062,792,016,570,580,674,087,192,005,585,751,198,974,077,
890,560,137,688,749,914,721,881,520,154,801,548,639,187,843,435,983,210,263,
717,935,364,819,307,004,202,907,107,631,202,206,998,608,990,805,601,805,377,
893,499,071,187,151,124,277,322,932,257,390,693,204,931,157,219,400,652,564,
396,580,370,739,930,813,084,366,392,294,762,296,004,947,912,832,566,512,949,
660,560,555,010,533,174,478,062,367,688,825,138,157,771,118,404,782,860,562,
321,412,437,523,024,703,284,321,173,840,990,987,634,594,364,645,164,507,215,
201,352,609,822,940,913,019,387,244,216,967,585,169,461,487,624,852,137,429,
264,202,011,715,927,631,109,637,867,365,789,879,853,675,580,399,312,019,423,
915,094,769,874,357,355,126,432,740,937,343,879,584,772,211,781,172,272,228,
318,928,218,340,578,497,578,864,490,617,790,242,667,416,229,989,515,088,523,
232,242,001,718,353,404,554,263,086,731,721,329,841,131,744,009,544,550,270,
759,223,840,825,024,133,438,024,507,208,925,988,157,327,370,980,474,595,867,
163,572,949,213,829,611,565,662,153,356,254,409,320,739,428,697,562,758,454,
555,636,922,313,710,858,599,940,431,031,345,794,955,497,596,729,680,385,971,
580,515,590,113,184,502,151,213,426,127,200,898,872,745,685,951,437,173,566,
592,621,252,476,561,696,312,621,754,180,758,527,188,267,268,220,805,218,441,
010,003,661,651,379,591,746,382,483,480,573,763,781,266,378,329,181,066,656,
083,527,052,423,407,734,844,985,654,925,293,386,735,200,580,079,822,370,503,
772,100,283,378,903,013,046,572,058,545,719,278,852,750,187,594,967,675,742,
533,501,030,395,088,644,431,390,115,867,154,874,635,906,318,617,254,335,499,
002,710,765,155,927,911,588,260,223,147,121,560,410,007,753,201,446,299,882,
355,583,450,102,054,092,632,675,931,973,573,078,540,638,798,108,881,175,430,
003,044,440,806,143,799,204,311,345,527,814,651,013,580,669,423,437,884,873,
056,123,937,533,394,881,603,788,460,986,729,218,805,236,308,966,055,941,914,
150,292,922,465,864,669,827,995,843,325,818,594,419,316,511,430,109,848,448,
628,856,234,021,431,034,337,633,936,117,223,048,795,140,506,599,710,985,521,
460,678,917,576,545,938,539,845,893,429,461,782,043,857,256,283,393,705,431,
502,611,687,342,275,280,684,739,906,863,138,238,840,431,611,317,548,607,477,
122,938,410,429,201,057,166,502,250,572,757,066,665,519,644,177,513,631,944,
432,344,955,277,358,711,888,698,150,342,351,497,673,916,178,577,659,224,253,
539,092,431,151,557,894,430,194,231,029,034,758,813,861,018,155,085,114,044,
723,759,840,248,969,218,473,559,947,762,248,186,107,872,512,722,900,275,397,
209,963,283,553,686,192,272,772,521,573,128,023,618,156,378,680,636,332,499,
345,380,813,895,943,563,727,012,488,217,231,571,875,339,365,901,879,878,572,
923,863,370,571,130,777,612,264,190,600,190,862,799,966,266,574,162,314,174,
807,867,002,919,495,014,844,980,375,482,260,543,427,973,680,957,853,748,577,
074,202,845,233,040,228,649,607,927,666,628,885,721,004,232,199,542,087,746,
797,960,485,702,266,259,381,394,862,460,752,095,028,118,214,019,826,527,343,
573,168,682,988,117,222,373,970,874,682,078,210,969,693,649,798,820,445,034,
759,437,418,349,904,790,756,961,641,129,362,673,874,161,242,135,458,425,832,
246,299,576,849,117,422,196,375,829,925,074,384,114,872,167,064,659,582,466,
999,184,883,069,775,007,929,250,852,049,447,766,787,672,910,479,506,258,951,
851,499,086,434,952,545,151,127,776,250,273,444,716,403,057,566,277,744,802,
084,358,416,921,999,191,235,647,555,475,205,140,669,635,877,967,417,566,937,
986,613,239,799,265,586,966,324,941,746,334,575,064,016,095,940,366,981,215,
295,389,155,713,639,752,585,951,839,712,769,173,632,897,321,445,987,972,557,
439,673,809,242,845,717,976,268,396,600,453,102,336,172,909,009,831,014,090,
222,990,084,472,056,488,522,217,258,551,159,437,141,712,659,106,990,789,023,
724,489,587,305,739,346,649,399,545,607,753,024,958,301,779,668,138,032,344,
999,825,248,664,034,005,393,150,873,417,536,419,558,969,590,401,107,533,260,
992,718,192,649,087,662,996,613,522,296,008,986,822,413,184,323,986,756,001,
635,891,521,123,691,029,409,887,125,034,720,311,958,989,894,790,059,574,051,
457,432,650,103,701,975,955,741,667,186,475,580,450,387,123,194,976,058,622,
758,570,496,688,035,421,117,595,502,904,756,592,803,273,295,472,966,142,436,
019,136,244,917,359,267,201,644,319,811,891,030,581,854,782,651,421,501,265,
849,069,660,502,072,922,938,138,219,130,404,275,426,037,573,060,356,464,637,
911,281,623,467,446,914,385,480,434,963,872,136,196,533,663,742,681,992,839,
149,606,243,373,899,310,860,100,826,104,276,589,174,366,700,198,848,468,331,
737,250,476,964,099,802,018,319,299,684,022,712,252,596,015,434,284,088,459,
976,331,855,503,220,579,296,620,186,269,309,303,635,235,432,112,130,591,518,
416,398,110,990,641,077,229,602,082,232,680,596,864,453,619,080,704,387,376,
112,421,618,141,224,111,141,637,327,423,244,650,562,416,525,757,912,987,869,
760,210,489,233,977,260,937,571,209,381,959,402,447,545,804,792,845,011,194,
978,874,585,203,833,060,428,559,720,527,877,875,499,138,962,705,684,543,854,
392,737,927,015,133,122,756,070,341,359,274,160,234,115,061,663,294,886,123,
732,992,091,294,385,777,431,787,215,284,805,817,170,068,754,452,102,544,679,
328,803,635,407,338,493,638,948,684,436,062,768,124,878,884,248,948,568,738,
767,180,424,199,104,285,186,706,736,022,105,940,139,187,954,739,779,328,927,
449,012,767,774,492,800,487,671,364,392,073,736,586,590,214,074,316,117,717,
054,220,705,075,585,535,965,383,653,109,820,710,307,304,375,569,036,589,426,
535,684,177,487,168,599,968,917,735,637,094,159,714,586,877,401,372,002,930,
968,140,693,155,486,599,918,844,403,735,230,184,859,016,155,752,836,454,279,
965,647,459,597,711,382,326,314,342,795,415,007,688,402,405,504,542,559,126,
367,804,924,739,399,659,764,718,074,332,207,833,881,782,712,046,135,356,735,
586,545,517,845,101,516,885,018,245,626,917,626,893,068,885,972,997,529,567,
896,659,180,668,281,900,554,416,301,227,974,834,873,702,187,543,972,471,960,
360,273,024,110,970,307,712,418,851,444,890,142,253,122,259,772,436,487,930,
310,362,604,338,558,168,381,122,808,022,282,529,096,994,934,621,514,235,825,
716,198,612,262,777,112,123,836,229,642,677,034,727,961,650,980,356,322,451,
614,282,971,931,889,761,980,696,043,183,959,894,829,212,977,125,674,751,314,
507,796,319,999,964,973,565,839,789,072,201,411,386,566,236,837,857,248,024,
848,658,075,556,531,427,054,298,054,450,290,422,305,415,764,734,396,194,921,
659,542,260,273,933,570,779,451,755,291,029,562,304,456,501,473,881,378,637,
796,890,818,905,153,630,897,471,188,522,637,432,575,628,000,214,793,582,355,
051,891,743,070,936,549,059,571,046,325,035,542,786,959,357,903,791,917,426,
148,797,321,154,920,129,316,323,354,577,506,933,573,740,479,626,520,635,829,
070,825,703,819,510,137,625,731,368,277,864,986,316,159,783,047,543,049,324,
205,632,408,339,333,034,265,905,486,871,285,585,032,466,343,746,057,849,947,
608,645,156,887,933,955,186,814,906,830,653,455,416,707,951,743,680,158,597,
973,641,254,608,399,547,097,855,369,508,699,223,523,454,577,864,574,985,782,
302,702,368,078,526,785,501,324,267,068,691,309,010,198,406,051,824,197,232,
972,845,846,584,118,694,660,474,115,760,059,852,169,120,532,663,841,901,697,
519,407,839,788,396,601,589,542,334,612,412,613,962,498,214,255,404,830,595,
783,428,726,054,182,035,793,205,297,627,086,994,187,361,444,447,287,379,051,
201,979,958,844,687,692,470,909,399,628,315,256,803,682,924,028,830,884,820,
618,246,267,359,731,425,274,003,178,834,653,093,214,657,469,793,245,438,426,
206,443,814,635,071,818,315,183,330,307,826,310,492,266,130,955,430,273,311,
402,361,770,238,739,207,431,609,287,992,822,555,710,165,837,998,045,446,743,
622,492,683,323,993,625,488,371,677,182,187,928,604,729,756,897,605,816,880,
674,778,550,206,299,244,143,848,823,657,635,123,430,351,961,386,814,642,529,
759,635,838,947,726,177,158,901,244,946,848,073,396,015,072,763,462,204,407,
488,253,215,899,996,356,876,254,847,623,085,810,537,238,760,157,516,484,999,
613,367,137,434,849,296,907,956,496,840,874,997,102,639,892,857,670,839,413,
094,184,948,311,958,767,312,397,489,265,327,157,306,723,769,340,405,518,489,
818,144,059,167,508,826,364,245,328,291,033,437,914,875,360,501,360,265,281,
916,383,553,106,808,674,156,256,607,754,071,418,235,672,700,269,303,198,362,
794,624,991,714,798,217,856,817,629,847,755,342,437,691,032,317,615,905,951,
633,403,764,839,727,254,450,406,185,135,959,820,985,252,179,846,513,556,955,
119,147,003,852,071,036,002,427,180,539,164,131,311,481,885,804,785,915,613,
999,359,382,025,822,909,650,447,574,094,843,307,219,723,109,656,805,723,910,
813,961,699,148,075,910,619,734,016,824,566,324,842,659,916,745,543,943,134,
353,197,594,555,814,436,779,281,803,070,882,606,136,052,093,872,194,065,127,
081,466,505,504,114,794,601,761,807,327,095,780,780,735,579,948,686,020,716,
875,189,994,359,423,135,001,182,064,580,072,666,090,956,684,043,880,752,219,
192,849,335,421,558,667,611,414,134,969,583,271,651,655,242,232,997,616,666,
296,796,256,387,991,316,529,869,573,036,609,105,755,376,883,215,783,952,199,
816,558,469,738,136,714,731,513,212,720,451,944,469,062,665,366,014,356,178,
804,938,065,037,054,633,949,102,623,184,996,789,366,273,621,419,497,123,753,
139,157,866,136,514,384,516,733,438,237,181,654,045,715,495,658,462,737,201,
361,848,321,256,831,827,315,681,373,429,615,889,358,873,504,582,884,507,523,
705,104,415,499,632,331,775,748,146,985,463,652,925,875,676,643,304,870,341,
151,650,843,556,852,136,701,512,262,978,235,751,840,247,175,417,615,346,518,
701,740,241,740,319,440,397,974,554,904,794,011,652,545,239,360,718,443,267,
766,703,046,625,925,977,878,873,045,567,734,772,993,014,690,908,619,026,334,
697,136,821,176,009,071,447,714,813,548,374,621,448,668,405,152,327,569,849,
531,319,019,091,097,801,748,816,319,116,956,185,781,123,653,534,825,985,281,
643,644,225,300,466,012,485,679,048,685,246,387,104,007,588,266,789,318,635,
133,490,078,672,611,477,738,414,898,751,759,086,416,084,145,457,309,223,520,
572,476,575,806,262,538,686,450,549,123,497,286,076,142,260,855,716,786,954,
530,048,042,404,474,771,651,624,675,088,473,852,766,473,961,624,855,171,523,
291,462,188,471,567,164,228,315,913,213,903,571,917,295,180,673,402,204,809,
695,428,087,608,398,512,465,144,640,302,006,664,217,571,988,004,534,869,217,
372,165,144,586,442,232,973,474,590,369,383,737,179,744,805,810,581,999,603,
609,068,864,782,124,576,568,475,234,462,980,936,899,600,785,128,464,421,171,
449,737,543,532,036,413,752,985,423,508,513,994,601,948,302,235,360,188,526,
465,342,431,640,529,126,645,557,620,247,220,062,581,987,348,510,333,411,295,
643,826,267,751,932,080,527,384,822,831,791,884,531,337,608,389,779,637,024,
144,034,689,488,722,806,705,059,297,225,772,555,117,878,451,473,781,635,308,
808,412,029,115,560,664,934,167,702,972,613,174,728,915,924,922,286,518,571,
145,224,445,455,394,820,090,402,198,109,515,312,506,370,141,101,817,515,115,
530,238,714,182,223,649,156,724,012,239,414,380,147,131,244,531,203,836,472,
492,502,473,855,374,526,982,901,059,108,899,077,510,778,744,845,324,003,757,
385,277,692,377,348,352,809,518,633,872,666,308,908,151,504,410,204,545,595,
153,669,509,230,554,180,345,600,192,391,670,230,622,570,191,399,560,647,423,
944,647,885,621,495,808,811,476,639,653,357,005,380,207,197,597,787,184,201,
163,286,583,776,237,058,275,863,319,883,273,506,439,332,720,351,203,427,235,
030,803,635,165,739,361,872,398,987,348,060,987,711,093,440,684,047,454,533,
612,640,002,430,197,876,932,478,026,963,812,117,065,445,349,483,051,822,314,
051,666,702,325,404,976,573,325,293,667,979,800,088,538,827,342,498,739,721,
923,510,015,704,154,272,424,261,411,506,476,133,984,991,983,060,854,685,584,
518,430,247,203,709,643,429,634,521,072,105,333,220,134,186,368,858,477,211,
719,572,947,211,824,348,557,683,369,802,424,760,910,850,448,372,105,375,459,
427,662,244,156,558,071,850,866,316,030,434,319,913,101,582,564,385,222,460,
913,142,009,733,709,051,791,929,651,737,086,964,982,108,711,428,837,127,178,
205,553,364,822,086,535,194,323,558,755,173,205,531,317,645,089,411,294,933,
416,876,285,483,686,469,264,264,681,555,943,438,808,406,411,607,451,104,143,
713,352,710,859,446,175,064,812,870,657,624,925,997,856,557,127,989,239,611,
646,609,554,884,153,271,900,557,996,851,562,123,057,572,013,449,503,954,701,
277,473,177,667,895,833,369,883,699,397,145,026,427,510,799,263,404,965,381,
353,235,968,533,247,513,029,772,765,966,717,281,987,288,783,477,604,759,083,
255,926,175,194,438,986,349,839,198,380,110,859,298,245,412,400,922,254,734,
831,569,107,576,914,588,318,870,463,815,186,350,326,174,660,372,433,615,947,
151,587,826,288,247,048,121,097,986,042,372,717,970,576,484,009,609,331,997,
127,748,115,053,486,771,030,722,767,185,752,848,806,512,195,921,670,710,103,
822,637,448,514,857,974,011,133,723,094,402,433,017,965,628,861,658,004,247,
225,406,420,921,536,356,275,120,438,009,349,838,422,284,154,001,023,639,351,
439,351,262,046,988,194,255,100,106,956,649,481,512,887,430,575,395,414,207,
770,221,632,750,014,732,858,814,107,561,735,121,792,113,431,059,707,690,699,
890,091,502,972,656,743,835,074,982,413,541,226,848,000,536,245,330,331,945,
296,725,154,392,706,250,650,505,733,414,113,665,532,957,774,157,249,185,419,
236,812,609,995,780,697,311,543,628,782,031,279,603,594,165,426,474,038,847,
967,954,322,329,645,315,945,786,306,220,749,735,802,351,901,473,592,659,750,
036,402,944,231,418,286,431,995,062,498,895,366,354,837,277,206,651,492,920,
092,384,447,892,740,368,939,364,804,710,940,219,577,073,670,494,443,499,095,
974,907,170,631,773,516,278,706,257,895,804,406,514,936,922,256,952,502,697,
044,610,322,591,544,751,543,771,327,133,502,433,052,951,165,789,234,910,660,
746,604,855,516,987,559,939,983,523,783,684,456,790,111,918,346,017,037,403,
117,699,165,717,372,465,381,958,791,547,547,673,097,135,528,247,452,536,696,
110,640,716,507,421,289,367,516,998,465,658,800,206,035,074,273,673,143,145,
438,679,004,908,005,897,058,842,864,347,157,742,506,485,439,683,854,683,316,
971,935,863,465,847,319,301,704,096,650,345,417,017,227,022,493,233,593,059,
289,499,870,515,595,274,969,349,807,946,357,295,246,360,473,953,549,271,357,
957,345,935,441,209,365,000,713,714,758,353,699,484,050,012,217,868,145,713,
488,570,994,156,859,023,071,156,833,945,027,990,746,827,483,058,221,352,439,
159,001,896,071,673,959,004,448,713,843,946,783,101,681,621,576,831,555,513,
625,075,654,257,775,437,773,250,881,596,938,867,134,818,180,713,438,596,401,
609,969,386,969,040,451,376,885,131,393,060,331,367,838,844,095,325,326,314,
119,686,235,815,027,983,423,095,222,600,377,347,884,649,600,777,542,782,669,
135,255,697,365,963,221,002,387,488,287,110,144,738,120,682,068,963,501,468,
277,116,450,329,530,991,363,215,929,603,547,065,596,243,101,562,590,433,455,
618,532,438,728,008,292,009,647,430,740,495,388,951,250,007,149,510,897,091,
221,735,896,219,134,554,009,529,546,653,780,277,945,681,748,619,293,299,376,
424,301,521,915,319,269,330,331,193,917,537,233,858,354,524,117,958,345,947,
144,780,923,838,475,625,173,063,143,918,418,679,017,374,475,575,548,840,396,
835,823,651,541,157,572,597,392,397,710,089,877,332,817,146,508,503,454,545,
067,832,615,031,521,433,377,000,703,307,622,189,566,670,537,536,250,944,831,
347,037,562,276,101,587,702,165,388,230,181,783,876,129,404,630,816,169,518,
815,200,602,696,642,902,882,933,966,872,507,042,670,976,187,211,123,922,931,
874,083,404,371,680,906,455,405,911,515,413,694,759,744,274,284,928,626,891,
734,786,099,378,294,181,488,989,099,708,851,957,276,213,969,984,016,519,544,
602,398,116,686,762,625,318,188,051,769,019,532,271,837,792,807,127,963,462,
614,956,572,980,647,346,854,637,034,119,748,563,207,148,727,773,162,376,723,
893,315,139,481,431,528,420,407,395,716,284,763,756,057,208,772,078,253,644,
412,127,333,927,133,955,060,199,723,537,725,797,327,462,597,799,903,750,089,
104,548,313,465,153,793,410,072,953,819,323,681,870,111,525,796,060,386,926,
488,505,759,963,895,314,114,979,543,113,813,840,558,140,128,484,387,974,178,
133,253,753,813,292,067,955,943,958,984,680,491,198,895,803,390,304,513,005,
503,782,019,127,754,437,247,323,776,772,284,579,201,618,305,568,819,701,518,
478,032,900,826,302,908,615,977,252,906,520,694,941,377,943,289,016,987,801,
889,756,483,841,534,412,948,907,009,909,937,138,508,637,932,014,135,118,750,
074,845,830,447,206,849,792,313,212,947,151,335,991,302,964,718,762,035,319,
129,921,939,588,457,195,856,034,604,711,598,089,718,516,264,693,059,242,602,
674,617,411,274,065,042,960,617,596,391,903,731,921,994,472,823,404,607,856,
528,959,771,515,603,770,051,130,942,735,376,583,636,209,211,863,702,523,455,
055,817,478,612,267,001,361,936,258,265,019,776,801,104,153,640,479,964,615,
055,170,057,103,650,853,171,938,833,592,516,514,957,487,996,692,210,067,145,
635,995,062,946,378,022,566,504,497,336,333,549,462,863,486,722,973,209,165,
454,594,239,463,558,877,793,155,770,027,877,559,569,106,253,353,361,205,262,
695,041,917,394,973,410,355,650,103,383,633,289,912,260,010,228,432,691,980,
657,270,994,266,739,917,253,096,247,369,379,398,848,643,272,965,276,485,189,
313,789,010,817,021,850,108,217,331,374,684,010,652,986,553,617,911,613,351,
255,239,251,337,107,100,442,232,089,863,051,490,865,855,036,783,512,317,314,
903,065,129,160,104,084,281,095,662,652,658,246,927,629,875,659,078,220,866,
420,151,175,737,118,014,060,623,309,829,598,389,999,435,057,115,118,813,589,
726,819,590,438,792,385,200,102,471,645,757,653,242,799,674,686,095,529,875,
157,867,361,790,990,433,247,510,932,423,545,467,022,571,773,277,043,895,659,
877,778,577,337,761,435,209,872,385,581,963,033,398,454,193,682,946,440,041,
729,887,443,882,608,117,414,273,570,765,306,506,374,129,385,993,043,296,627,
646,930,822,092,928,619,255,935,788,443,758,337,995,033,458,929,689,925,781,
861,136,519,629,042,153,464,855,897,705,076,454,863,723,353,850,204,155,397,
474,324,651,886,597,444,331,141,328,041,877,814,764,887,632,927,745,084,739,
538,479,077,624,768,124,401,261,022,279,363,833,169,184,477,197,251,012,824,
815,218,923,472,966,171,593,945,195,222,255,567,091,493,059,708,536,788,268,
320,540,895,145,729,756,523,622,439,275,291,604,188,676,146,236,134,037,822,
836,180,050,733,015,867,588,121,747,602,540,842,807,919,029,373,922,637,392,
057,347,268,269,903,293,331,663,820,476,297,995,529,266,785,205,294,001,271,
444,361,990,008,846,169,763,664,275,772,769,720,112,704,450,672,695,543,765,
605,228,533,250,551,283,270,068,923,008,552,960,299,400,549,940,009,005,007,
169,626,233,661,066,107,144,859,387,977,776,473,679,186,069,339,674,047,342,
053,962,727,167,843,534,472,517,764,732,316,954,393,073,106,829,686,024,130,
784,929,143,861,013,386,302,454,502,808,821,191,493,020,602,427,433,683,325,
934,631,243,509,977,322,758,524,580,888,444,273,214,450,107,159,491,886,029,
171,578,987,305,766,088,557,323,179,438,272,960,671,711,406,382,460,398,057,
502,551,479,437,589,086,116,878,155,703,180,731,879,625,677,651,588,781,963,
703,416,059,334,022,802,734,692,625,686,740,217,268,294,053,075,729,710,714,
838,596,275,893,372,569,929,514,946,161,565,786,990,150,536,293,516,028,634,
355,876,787,268,168,329,362,713,890,144,592,037,847,750,403,002,048,241,732,
331,457,877,227,505,905,509,203,973,085,924,471,553,677,404,312,727,431,981,
729,579,128,483,718,109,785,641,168,721,078,429,634,892,608,046,460,691,910,
649,605,823,031,752,384,423,625,960,427,016,080,987,808,675,121,037,479,493,
620,385,335,867,591,768,002,852,628,633,092,193,184,290,079,698,776,871,841,
156,542,554,952,220,755,285,232,135,341,147,712,412,987,937,333,680,569,728,
390,622,695,193,036,212,433,945,715,430,369,986,685,339,205,959,206,577,526,
070,866,025,702,390,124,045,436,168,316,034,182,984,108,080,958,955,293,330,
044,653,795,482,693,273,343,555,578,592,741,561,487,927,536,613,309,715,793,
995,514,356,903,414,428,669,748,934,351,052,406,997,600,917,394,253,747,162,
514,050,914,261,517,472,650,778,717,735,268,563,388,001,892,553,661,763,854,
505,898,213,486,108,981,507,919,413,247,086,506,857,168,664,194,840,595,039,
348,334,895,767,574,039,766,819,644,632,254,547,002,353,923,076,648,940,200,
615,595,754,851,710,863,596,172,336,706,484,787,315,444,488,965,154,597,257,
809,974,718,364,466,831,360,566,060,695,938,200,388,488,786,718,574,774,008,
876,501,892,715,030,333,764,733,383,796,503,478,823,795,703,087,940,704,838,
125,555,272,974,552,435,716,429,560,484,314,720,175,754,847,931,885,684,212,
678,234,792,080,480,956,843,922,542,070,291,387,440,137,695,203,110,093,383,
459,394,587,522,241,970,400,064,659,968,512,051,221,942,821,050,934,618,856,
136,926,643,682,036,038,330,010,911,927,082,464,695,031,701,125,646,458,244,
569,956,143,508,850,838,035,701,806,692,891,538,805,691,473,776,181,087,413,
784,341,609,618,987,679,534,734,454,557,409,182,446,748,702,848,096,533,238,
531,102,472,770,252,128,268,610,364,792,804,400,913,955,423,273,825,094,290,
695,639,197,209,686,132,556,426,101,969,550,418,714,379,788,143,767,927,312,
010,099,716,496,890,754,840,310,698,758,128,308,281,997,376,630,966,119,288,
665,003,236,046,820,365,591,728,021,895,066,637,936,975,036,960,585,194,098,
905,659,093,031,849,707,626,404,758,532,605,093,155,097,918,786,632,133,748,
253,479,024,480,113,150,572,642,007,703,797,523,658,196,481,730,013,106,676,
705,515,910,249,436,457,784,302,199,963,454,867,948,938,221,242,857,456,039,
370,908,624,103,592,774,296,094,612,819,343,488,255,780,025,023,184,475,289,
673,785,101,624,784,821,219,149,155,700,613,197,528,427,445,886,181,754,051,
221,873,761,700,135,241,371,921,151,162,448,451,217,141,710,141,990,204,808,
939,236,378,834,320,785,855,946,434,052,764,088,673,346,060,617,744,450,004,
645,899,697,349,460,904,631,930,068,998,271,882,008,523,356,625,409,241,508,
571,284,724,406,640,536,542,417,883,281,447,989,194,066,860,878,952,847,018,
706,350,560,194,039,054,355,901,856,570,371,626,651,939,362,581,256,064,923,
985,724,634,981,435,425,053,959,134,125,125,989,167,513,934,442,468,197,891,
126,690,345,926,529,260,728,591,553,195,663,996,638,301,282,719,600,514,886,
158,051,451,451,539,323,301,282,385,263,016,325,058,007,837,044,684,102,495,
798,502,893,683,322,302,185,943,582,134,346,957,150,564,087,380,224,601,344,
593,275,693,010,927,004,418,437,820,535,550,732,304,600,252,122,052,691,080,
331,356,037,680,341,972,860,157,856,131,729,414,182,647,203,727,078,044,727,
583,732,140,091,456,392,560,486,284,872,144,892,734,949,853,328,875,758,658,
359,567,628,848,474,030,775,407,010,789,875,583,206,201,576,850,020,897,894,
800,739,983,719,088,786,229,288,152,518,758,575,128,451,894,424,668,594,980,
114,943,776,616,563,768,479,819,192,330,066,306,897,958,170,268,346,208,837,
335,137,231,405,280,083,501,550,517,718,322,769,377,776,015,313,126,714,038,
360,585,878,639,309,670,182,573,973,513,671,418,630,378,128,011,801,035,243,
407,770,522,895,714,741,537,434,077,483,380,559,950,592,889,786,986,664,917,
975,944,135,497,116,807,278,154,227,440,876,243,039,329,457,371,775,136,666,
575,907,716,500,734,008,251,295,300,019,436,097,937,979,559,296,180,373,025,
938,812,178,551,067,374,330,272,560,298,156,103,641,212,373,229,826,943,021,
983,308,303,642,792,115,340,063,625,834,488,227,589,169,499,773,710,950,451,
770,169,995,160,273,050,961,764,114,951,825,071,158,869,705,214,191,766,818,
954,885,696,773,065,134,280,609,324,526,583,024,853,421,334,492,708,339,337,
420,992,413,082,861,416,448,695,091,328,720,763,926,190,726,977,185,240,458,
144,111,143,414,553,348,642,073,566,534,006,260,741,139,598,395,553,338,819,
022,656,910,081,670,613,684,528,145,432,682,209,440,070,308,487,765,596,572,
472,495,165,115,672,911,624,117,454,515,916,072,692,904,716,163,566,903,259,
036,135,862,929,286,636,786,092,199,647,518,898,938,207,375,549,647,441,580,
387,115,175,680,868,620,581,110,622,082,206,976,490,462,252,129,166,236,937,
974,461,311,490,920,332,480,243,574,996,286,097,395,983,803,623,108,598,051,
402,142,160,065,468,360,469,656,474,929,705,920,033,420,420,026,352,442,920,
689,221,226,045,680,894,048,661,169,919,592,976,473,303,275,327,815,124,253,
716,775,968,953,005,385,640,408,524,342,500,840,532,707,950,260,336,184,524,
698,012,359,534,083,690,414,722,314,196,801,187,807,267,108,361,669,041,612,
411,870,409,988,543,307,430,458,033,029,000,588,304,625,620,271,212,462,014,
460,195,758,077,131,446,208,317,344,739,609,668,014,604,584,395,772,564,651,
664,071,496,891,519,672,148,005,148,246,016,702,222,410,348,987,435,967,515,
564,609,909,722,575,677,644,590,375,658,807,032,709,630,419,339,970,192,347,
811,726,961,882,073,765,859,614,668,257,247,178,721,703,250,680,593,657,976,
374,139,258,126,910,320,240,759,599,875,294,839,751,116,930,421,663,151,621,
851,802,388,566,575,111,725,443,347,837,140,635,590,638,202,315,208,352,320,
449,419,695,280,577,880,537,259,978,637,415,405,953,397,142,140,494,966,588,
613,100,435,407,929,190,597,986,603,845,391,963,140,595,418,819,662,442,377,
985,520,050,666,912,495,247,658,585,363,182,644,802,880,757,000,894,042,880,
490,803,152,092,763,798,222,491,569,027,948,343,171,549,629,767,210,859,977,
277,637,803,293,370,737,175,554,842,049,123,149,553,398,049,954,935,119,527,
043,956,325,412,086,161,816,628,294,939,566,873,000,890,736,107,264,859,038,
484,523,311,719,985,239,399,771,825,112,374,243,288,026,714,998,658,131,488,
445,071,880,140,712,059,083,318,562,786,548,557,298,378,896,371,487,751,609,
393,594,943,703,341,267,090,851,957,499,797,755,341,750,130,445,345,506,857,
733,880,611,597,569,560,465,645,464,637,530,686,904,834,847,358,459,066,303,
963,076,809,838,390,481,455,464,383,632,494,975,817,236,026,714,098,554,697,
734,405,171,298,557,294,276,734,120,100,683,493,432,925,695,406,307,913,758,
613,532,313,484,194,362,451,616,155,914,153,129,706,720,379,166,276,441,045,
098,480,766,410,084,300,345,074,090,687,089,924,448,751,572,090,534,664,769,
099,643,348,555,969,502,097,451,223,692,662,082,963,188,094,623,587,983,658,
573,785,923,804,632,753,426,734,022,013,349,022,749,323,100,449,255,856,106,
722,257,197,781,777,463,729,726,255,956,616,982,342,386,037,870,477,138,133,
312,735,356,486,899,173,953,595,318,286,224,527,672,035,958,575,008,959,877,
868,587,624,355,639,878,822,769,110,898,389,442,510,790,552,070,364,309,729,
064,091,485,553,518,957,672,035,027,184,252,110,635,738,927,011,935,392,582,
798,062,646,796,030,675,563,403,086,029,036,210,000,859,177,736,473,093,395,
256,060,415,468,728,950,958,763,074,594,664,807,998,939,072,324,608,192,841,
172,299,780,076,881,655,157,284,874,352,057,455,753,416,176,255,831,350,285,
467,174,236,754,895,932,669,392,453,948,545,204,518,206,547,351,221,719,168,
210,944,773,705,994,811,724,823,137,855,053,395,372,778,196,461,120,887,051,
731,628,585,974,742,907,871,017,371,426,452,061,810,194,162,296,037,724,520,
829,495,262,177,224,372,930,809,513,169,488,449,596,977,984,147,317,738,215,
109,401,497,211,835,776,066,332,779,171,710,915,462,063,536,059,857,088,410,
162,472,116,194,412,196,503,438,271,512,999,538,132,444,822,754,573,455,859,
646,944,885,291,328,574,944,941,352,092,562,678,409,451,850,039,969,911,688,
594,159,342,335,917,988,723,701,201,302,903,852,308,563,643,498,558,167,676,
789,746,234,008,578,782,187,655,648,958,213,988,969,149,320,318,774,884,480,
843,412,681,804,865,683,421,139,666,298,608,353,970,858,255,069,426,133,073,
629,141,510,066,447,319,588,494,825,563,310,157,272,916,192,538,250,066,824,
479,912,939,782,548,073,523,753,787,465,818,854,115,566,398,635,909,268,741,
514,273,587,920,245,087,540,062,160,625,182,405,312,890,279,639,615,985,016,
293,395,601,131,592,114,177,047,961,250,761,243,428,003,076,019,144,640,594,
471,900,308,541,080,828,047,346,910,018,041,978,306,424,365,367,906,903,662,
395,475,490,278,751,753,730,949,401,987,256,490,332,141,026,502,132,160,463,
640,344,822,162,937,344,150,842,274,505,428,896,940,342,638,747,630,814,698,
420,254,506,909,011,317,620,904,713,563,808,078,553,160,791,351,266,214,459,
892,697,708,756,736,189,085,501,614,123,278,586,566,327,958,980,149,042,378,
883,940,648,540,614,992,669,222,541,949,651,845,238,608,274,789,412,525,549,
956,331,481,555,994,363,077,559,438,136,919,377,780,633,036,871,756,042,401,
623,961,455,350,963,103,239,083,641,585,999,639,949,568,307,059,249,934,848,
860,360,048,539,839,884,725,194,410,095,997,004,732,663,608,616,027,083,915,
480,704,475,800,354,506,284,351,281,313,448,161,868,545,969,262,069,573,201,
358,751,223,577,619,679,429,059,252,353,142,088,882,773,927,733,026,843,614,
703,122,482,104,682,735,726,109,344,270,951,592,262,287,858,277,116,587,774,
513,772,166,945,002,301,477,315,527,365,525,738,995,330,169,561,957,595,906,
549,517,005,988,675,564,242,277,888,392,321,476,446,178,134,484,731,654,373,
308,220,372,230,644,181,295,399,387,412,263,023,455,126,907,934,718,127,505,
063,326,582,503,074,047,230,293,707,392,585,843,021,171,125,743,327,598,847,
340,200,346,955,963,289,119,096,721,695,157,840,987,923,705,019,024,904,652,
996,751,130,282,606,699,631,883,158,325,051,751,392,817,241,367,349,788,594,
827,749,575,357,034,434,923,584,680,932,177,022,071,575,776,541,477,930,366,
837,770,623,023,023,944,669,216,089,940,700,725,252,802,450,640,714,253,854,
831,505,535,007,331,080,389,491,170,466,173,235,505,590,105,493,155,019,312,
281,572,408,679,239,391,980,315,714,785,325,517,353,550,363,596,919,563,554,
346,148,690,731,669,608,413,150,041,956,234,251,673,246,246,590,901,443,286,
660,078,532,819,686,222,081,258,471,609,498,417,958,087,393,153,256,798,840,
214,451,517,170,672,286,657,552,456,642,169,786,363,445,030,460,638,405,742,
572,680,345,283,242,081,329,239,544,566,719,711,946,168,441,585,172,515,730,
329,669,945,631,004,875,932,279,124,796,039,958,108,796,244,827,238,734,469,
161,130,970,626,586,960,776,100,475,745,998,046,872,126,415,974,356,003,525,
226,510,760,192,996,682,957,600,484,362,859,005,277,838,773,359,123,399,405,
747,274,602,808,612,315,909,870,145,962,722,906,990,086,532,293,569,602,057,
293,301,486,013,659,172,525,626,758,040,839,876,889,128,772,061,292,017,250,
491,076,772,499,726,512,008,246,182,377,941,645,153,943,042,861,561,686,522,
980,692,204,499,058,558,821,806,102,296,472,723,134,494,799,224,326,705,621,
776,253,771,071,607,815,392,165,076,017,627,390,665,797,506,137,524,784,926,
400,913,079,327,338,118,701,754,346,588,920,454,069,208,437,995,812,410,841,
504,142,132,476,094,479,026,103,954,291,391,760,552,348,602,892,776,989,673,
558,895,104,589,288,205,151,569,366,579,791,616,674,393,910,137,209,260,078,
393,498,369,031,494,034,796,403,934,356,860,458,197,571,053,898,314,130,638,
769,176,210,048,574,681,927,601,717,643,357,741,006,457,824,429,260,786,701,
592,495,335,914,799,179,929,707,144,426,595,618,330,141,968,384,829,122,883,
180,027,541,213,230,162,090,740,679,135,785,231,331,974,683,691,245,011,171,
000,023,465,580,822,239,231,780,101,539,529,358,643,758,200,778,809,576,156,
173,222,551,938,020,995,274,014,862,867,810,365,528,055,681,108,243,876,089,
828,493,901,929,985,234,352,177,847,605,163,411,496,686,213,669,581,326,415,
127,143,740,509,464,157,427,184,626,936,930,909,234,063,851,799,026,341,582,
007,063,080,147,302,042,180,086,888,165,629,577,392,819,488,950,192,968,643,
438,736,932,302,005,048,939,124,080,694,355,606,159,349,337,073,520,258,408,
675,956,718,266,846,028,165,144,031,046,548,572,918,652,536,771,436,659,537,
107,177,017,027,468,778,222,204,266,951,241,740,287,711,854,204,229,668,321,
253,039,427,001,608,955,399,989,296,956,290,460,410,641,124,082,045,073,748,
075,019,618,766,105,682,588,202,194,706,502,812,234,573,165,904,170,091,969,
513,354,787,007,957,516,913,633,633,616,470,083,730,482,853,977,607,033,047,
939,454,947,369,178,448,535,941,452,454,935,813,957,816,441,899,431,706,982,
062,817,857,086,884,530,071,819,666,141,231,102,005,451,147,199,079,862,019,
541,466,747,425,817,201,656,065,897,054,095,761,494,897,540,660,255,015,540,
479,018,987,894,597,138,321,813,607,968,725,144,947,399,169,572,077,191,990,
712,463,965,474,358,051,890,151,054,089,533,539,038,245,981,413,975,074,593,
410,420,064,472,973,053,890,498,949,683,747,711,062,937,831,471,490,998,455,
097,132,958,875,283,169,234,318,900,027,330,831,522,154,174,970,487,015,821,
178,986,118,995,925,870,115,473,433,673,038,170,926,826,017,066,061,490,239,
636,595,909,446,458,965,106,256,094,452,172,197,631,280,121,311,950,854,868,
410,520,285,013,972,021,942,829,246,311,750,995,095,130,767,900,774,229,517,
161,549,643,386,880,014,360,835,468,571,613,031,848,613,510,853,573,019,899,
073,931,144,579,803,537,526,999,228,655,098,852,228,054,297,373,227,722,399,
353,006,352,864,725,512,504,064,553,589,283,593,290,428,504,396,920,039,112,
910,462,769,241,097,484,022,303,562,707,194,244,805,796,239,610,591,887,146,
744,543,632,986,986,792,324,647,715,482,582,572,223,812,084,315,705,738,206,
752,678,050,806,234,372,953,768,744,474,895,556,351,479,180,995,864,513,301,
673,383,502,006,902,162,237,291,771,296,261,939,305,397,103,022,322,012,301,
507,267,772,264,911,565,127,979,003,627,802,803,931,243,899,505,131,451,136,
762,636,642,912,626,267,279,145,322,869,471,913,446,399,115,544,611,316,466,
555,798,449,717,273,674,750,778,953,177,871,571,692,080,310,796,007,087,717,
514,736,635,275,514,955,714,196,635,473,651,538,698,261,169,655,148,871,238,
275,490,504,046,894,001,987,945,646,556,687,844,859,713,618,618,956,864,082,
499,580,075,563,192,580,563,362,888,671,858,461,593,110,309,577,718,232,063,
377,781,298,251,206,722,270,120,091,866,987,140,552,244,069,510,908,026,992,
397,601,942,497,507,514,098,607,297,958,160,964,515,208,996,779,870,734,941,
492,750,873,584,749,026,683,811,110,385,499,386,128,451,015,121,436,133,960,
962,380,960,495,665,740,895,571,912,325,589,164,237,984,244,070,282,991,883,
025,448,550,170,142,050,588,672,975,956,669,458,675,431,332,508,538,287,927,
202,721,894,179,314,670,339,781,787,646,085,596,866,204,003,004,862,703,590,
275,851,402,684,156,583,756,762,007,609,047,903,163,081,604,933,963,156,654,
630,162,223,333,833,732,013,483,840,490,454,140,230,676,006,675,383,113,161,
763,620,505,410,341,928,117,295,697,042,712,011,902,947,343,848,641,248,951,
329,603,954,641,572,890,630,091,191,726,938,354,064,326,256,753,778,740,499,
084,791,606,499,150,132,421,032,043,649,559,013,387,921,294,692,241,547,303,
320,601,340,257,038,231,825,017,351,064,516,784,848,881,886,590,159,040,048,
828,519,910,347,718,936,387,073,851,163,985,560,197,004,699,279,381,364,160,
959,311,982,554,087,832,520,221,246,767,839,203,894,036,099,776,618,720,706,
255,708,472,603,865,053,250,387,427,902,879,509,392,224,745,923,497,483,275,
716,424,062,985,152,299,752,093,948,961,250,721,956,341,611,354,144,522,877,
114,613,068,065,218,644,632,142,701,935,911,551,517,278,123,949,133,957,064,
225,192,082,521,721,629,240,483,381,349,611,246,437,988,441,953,547,617,021,
230,568,102,962,513,415,211,800,969,375,171,129,401,497,534,181,393,277,182,
958,360,813,117,183,789,114,123,823,646,237,134,329,608,002,572,759,564,248,
917,361,778,314,097,665,482,141,097,475,275,616,828,960,033,574,686,644,581,
488,146,567,232,100,434,013,823,210,169,703,684,660,563,266,012,750,008,379,
281,772,594,907,512,131,322,455,438,305,485,855,619,264,464,071,184,867,028,
920,952,322,751,457,366,057,510,781,286,886,049,714,220,493,920,709,338,963,
945,889,138,188,229,601,340,388,067,382,127,307,052,070,752,808,984,042,968,
872,223,343,482,641,800,351,191,894,608,524,197,676,880,089,694,783,517,358,
239,552,754,606,254,042,240,087,654,813,300,379,475,128,282,014,434,720,792,
746,171,277,641,448,465,420,756,532,404,393,801,900,766,083,528,826,104,622,
146,299,890,610,050,376,898,027,720,606,047,174,776,302,178,787,009,593,491,
119,281,360,532,849,492,105,121,403,902,589,908,897,942,449,597,090,081,827,
883,001,358,326,026,120,364,348,950,124,719,325,962,163,511,817,599,336,485,
553,931,270,056,282,251,558,933,480,156,554,188,969,571,429,177,247,275,732,
954,375,941,383,862,917,021,612,703,614,084,090,133,490,397,327,668,835,546,
787,939,514,646,222,424,284,640,005,101,464,673,579,623,971,339,944,391,511,
706,714,666,395,630,397,841,246,917,371,874,841,576,074,467,923,842,372,554,
400,917,381,979,986,445,444,139,437,466,949,183,228,524,096,697,906,638,557,
539,632,461,688,762,004,510,521,904,503,007,726,841,060,176,454,504,839,186,
252,753,354,581,962,641,524,875,781,961,737,635,256,184,851,987,903,636,809,
633,695,590,579,739,012,786,549,711,555,908,606,611,038,870,097,878,878,945,
521,302,097,208,114,687,889,425,687,790,741,835,620,612,588,224,180,748,956,
697,935,707,523,631,342,663,788,521,667,443,470,695,730,735,823,765,069,975,
808,813,263,775,415,872,400,762,542,863,795,600,603,102,120,235,918,582,737,
567,673,147,566,379,523,890,846,192,774,169,806,560,518,240,597,335,351,679,
937,060,949,274,256,437,076,341,242,885,942,183,625,670,560,314,988,155,779,
774,521,558,244,627,229,755,319,345,215,962,396,885,420,896,862,743,200,332,
128,832,816,973,939,898,906,000,311,003,328,018,446,108,357,071,449,005,873,
994,472,082,217,667,631,923,087,023,544,186,054,459,946,472,711,072,336,101,
569,995,761,115,862,808,740,278,234,943,017,957,065,056,962,825,102,592,018,
210,120,334,896,501,478,904,381,290,275,146,375,980,587,862,546,887,734,230,
093,035,287,174,101,961,323,954,866,335,627,988,875,948,703,603,498,146,213,
293,009,068,145,895,466,300,699,880,020,834,191,417,104,707,563,184,082,823,
461,636,988,674,702,170,981,477,872,336,135,217,006,433,026,472,656,496,039,
525,562,069,112,706,358,223,309,539,235,567,185,644,560,367,018,070,638,994,
924,032,122,865,613,256,474,358,318,622,208,932,411,674,393,614,477,054,306,
913,353,025,975,251,774,302,050,812,527,869,232,544,671,024,478,854,305,868,
380,286,329,942,787,840,772,628,519,958,893,662,838,664,658,895,497,486,364,
372,573,401,153,202,814,958,997,835,877,312,955,716,642,011,942,333,657,175,
579,633,997,437,870,130,299,330,234,149,465,952,794,929,848,511,806,367,746,
540,314,315,828,064,681,206,171,959,912,519,477,094,524,575,988,113,158,060,
703,433,937,348,697,765,528,868,846,089,269,431,186,924,445,508,545,879,239,
555,200,755,072,150,845,254,698,938,716,832,819,641,583,981,983,463,600,683,
981,506,309,343,364,783,823,753,455,044,542,771,932,081,775,926,881,161,183,
746,387,979,813,250,552,425,297,119,458,096,578,719,518,106,371,408,406,107,
344,777,043,177,583,823,435,151,021,482,777,125,653,879,826,560,763,631,559,
820,992,118,033,629,894,832,991,755,452,158,148,926,236,553,128,686,601,322,
557,350,543,562,804,778,532,263,265,341,566,631,298,592,731,650,607,343,067,
757,954,118,030,230,221,669,040,707,928,294,702,192,376,235,792,266,017,700,
189,324,267,850,704,645,240,984,150,750,933,600,775,780,944,367,395,266,819,
714,369,245,757,596,593,066,964,028,790,398,681,046,647,706,409,617,234,179,
100,708,608,947,514,602,137,980,408,836,628,324,233,510,545,682,227,003,989,
519,227,880,391,591,213,561,538,997,863,884,080,690,786,591,117,966,266,136,
626,111,777,744,220,049,672,752,037,956,457,426,726,192,393,540,402,648,175,
171,254,407,965,292,029,922,035,164,060,007,443,231,479,276,139,036,726,229,
305,921,945,707,636,068,635,190,563,822,459,446,173,808,052,323,716,229,043,
658,007,893,477,169,825,480,081,865,118,791,672,525,138,550,251,853,223,596,
100,766,114,312,015,939,303,404,259,310,856,205,305,185,330,724,993,430,394,
539,163,839,385,038,835,534,819,125,504,182,306,698,874,685,197,526,297,970,
230,778,330,393,751,549,123,475,260,302,155,606,558,971,519,231,246,890,888,
011,159,203,506,098,439,172,635,487,614,963,529,907,651,738,850,376,202,168,
728,126,298,367,819,223,799,761,741,797,462,008,828,263,199,783,355,946,850,
701,385,492,412,472,105,495,187,107,128,487,272,442,622,339,676,437,471,844,
719,642,702,058,195,751,207,032,893,377,205,383,400,091,151,458,430,640,952,
474,274,135,411,133,930,574,272,046,777,727,876,215,826,986,296,218,317,372,
183,119,006,879,395,008,428,615,390,347,320,957,914,952,632,230,521,826,448,
305,760,188,455,448,714,811,792,329,580,492,859,308,632,104,408,996,596,337,
302,197,414,007,322,941,058,969,225,693,165,696,403,503,780,894,262,664,644,
140,386,375,896,614,859,795,797,512,292,854,923,875,563,389,484,078,593,995,
139,318,106,356,284,474,505,138,397,563,099,131,937,821,644,962,708,492,728,
452,176,537,714,487,929,741,523,112,521,950,437,997,293,409,712,269,423,820,
121,253,432,746,322,696,889,143,571,166,999,976,856,721,463,336,623,177,661,
076,290,210,997,080,727,646,087,760,300,720,990,324,954,388,695,837,039,580,
399,508,001,946,742,902,330,139,706,126,560,586,493,750,871,402,014,562,566,
501,567,400,883,069,852,116,950,168,932,582,546,729,719,174,504,508,012,216,
884,224,021,266,262,673,053,994,072,091,210,393,085,047,952,711,350,211,641,
351,571,384,684,912,283,985,324,734,679,737,768,773,535,918,169,716,365,500,
740,629,154,188,897,992,421,050,160,789,496,404,469,055,499,923,184,055,934,
440,215,762,922,076,843,320,003,916,160,031,310,063,146,709,482,119,742,976,
959,758,683,093,039,107,006,922,242,382,414,083,812,838,254,620,071,446,987,
367,508,849,101,632,963,818,117,031,845,800,787,147,011,695,291,283,967,759,
369,160,670,949,182,385,572,305,080,785,086,598,592,475,705,533,999,865,599,
472,184,728,913,605,701,807,116,296,990,182,028,048,867,245,805,952,173,394,
826,208,452,748,530,983,478,985,556,409,917,976,240,567,929,873,006,850,490,
454,622,886,054,881,058,794,139,555,682,898,855,165,771,164,031,312,641,484,
994,784,266,156,004,238,289,097,250,650,757,260,544,987,393,878,394,781,769,
576,206,808,715,866,641,157,523,416,518,458,228,051,800,325,742,334,252,484,
597,023,198,185,294,597,150,261,268,167,931,453,044,069,610,055,330,840,920,
357,854,672,694,303,881,506,266,589,116,070,953,885,511,134,004,054,921,819,
704,254,541,043,255,795,587,900,455,283,774,183,833,301,353,870,884,330,291,
697,954,787,820,946,861,069,743,418,139,400,923,914,484,520,427,313,248,007,
876,433,867,062,003,493,716,205,384,050,268,862,292,970,983,774,647,975,591,
623,018,299,327,765,314,429,837,172,709,250,898,143,427,936,649,797,261,823,
592,842,887,717,852,935,361,762,903,852,349,673,846,721,501,492,286,921,251,
597,393,165,531,258,238,495,444,760,557,505,519,930,384,207,181,151,053,206,
833,000,148,049,255,297,079,293,230,869,243,309,821,020,422,251,963,344,287,
500,059,241,743,835,922,318,804,524,587,329,200,781,850,332,319,633,825,888,
140,232,732,488,955,208,971,161,138,987,697,540,086,203,282,754,660,222,186,
066,560,450,365,357,330,345,156,116,039,242,826,394,093,795,180,424,827,116,
664,857,703,089,908,994,901,175,114,996,311,510,794,199,469,207,842,759,041,
631,896,654,447,497,056,577,601,877,766,092,474,100,520,843,599,030,932,180,
215,306,252,524,351,324,180,844,809,937,828,544,323,629,491,009,443,278,573,
645,319,298,166,008,286,998,989,552,780,537,266,392,206,318,995,785,240,987,
088,713,733,144,545,454,439,581,577,357,380,806,175,713,343,799,600,396,852,
701,710,782,981,858,041,658,935,005,042,847,203,009,780,817,597,484,489,899,
945,184,922,846,359,913,938,025,580,869,570,346,069,022,433,323,813,699,600,
967,929,451,198,100,571,801,905,845,606,284,394,089,057,430,011,168,773,527,
228,993,524,078,761,512,679,120,739,911,556,787,927,243,898,459,056,733,241,
510,775,766,578,575,120,456,966,318,480,974,693,167,234,334,838,905,730,754,
085,387,909,154,200,917,996,153,600,553,445,550,792,052,709,118,236,891,803,
108,543,975,034,539,046,617,343,172,754,084,230,092,904,139,826,432,491,519,
380,713,682,560,011,529,229,678,791,223,355,550,579,872,684,058,037,909,994,
789,894,107,566,520,633,484,879,111,711,917,737,824,135,367,833,162,992,792,
379,296,731,480,631,539,804,936,802,478,567,103,319,027,629,477,838,180,831,
947,120,992,418,000,195,585,434,803,610,098,393,112,638,483,372,328,246,784,
347,832,217,457,396,560,803,040,314,733,829,448,579,278,077,131,651,256,468,
836,981,185,210,011,644,220,875,707,850,340,925,396,998,667,973,576,034,000,
711,554,565,555,066,598,987,940,860,050,434,162,209,162,766,792,780,137,982,
757,156,362,253,512,180,723,802,864,943,397,734,002,218,177,344,113,321,801,
530,212,820,379,258,009,082,385,744,948,232,444,757,177,241,613,243,154,286,
760,802,711,490,605,113,314,809,017,754,920,849,870,200,098,087,988,777,265,
619,575,055,088,623,233,019,606,484,454,554,677,896,297,957,370,671,093,656,
998,979,782,578,276,115,380,410,714,694,695,190,800,192,242,844,413,343,499,
605,038,537,279,305,151,059,058,336,515,397,129,503,117,730,723,820,056,424,
169,124,980,248,283,909,925,699,534,028,303,569,156,129,253,228,434,506,156,
046,939,096,252,243,141,849,803,306,825,395,113,681,768,537,492,341,583,046,
091,698,071,806,220,617,678,196,946,444,019,136,099,828,838,508,982,524,530,
093,266,453,238,456,368,301,773,591,322,185,827,951,981,110,497,873,592,597,
434,258,154,584,953,439,412,122,789,882,915,057,755,852,646,253,593,509,723,
883,138,468,780,139,340,661,002,256,479,529,036,229,462,823,593,646,906,837,
369,996,975,033,294,890,239,709,690,348,675,736,540,156,943,121,022,782,645,
124,029,782,616,553,806,616,120,909,740,832,681,371,247,761,396,902,635,328,
767,236,842,221,458,568,270,621,929,956,724,459,707,108,170,879,956,884,805,
711,079,284,408,871,678,784,367,278,775,450,115,740,034,420,959,380,113,165,
079,009,535,937,556,411,998,515,377,538,359,669,315,226,075,972,477,795,991,
781,721,979,897,672,926,235,259,327,951,117,610,807,265,929,248,692,398,307,
327,675,660,806,750,239,954,068,587,362,759,075,085,980,217,256,823,387,178,
146,759,538,719,079,933,648,800,426,572,549,547,451,912,405,365,773,829,383,
499,889,511,328,763,954,769,467,170,791,906,648,601,533,861,662,135,370,695,
268,535,952,579,080,880,602,045,669,680,719,633,875,271,947,591,433,051,120,
756,715,049,091,150,193,776,056,740,589,786,252,269,795,974,817,877,071,575,
166,503,479,214,880,064,724,476,628,133,640,305,825,141,595,685,238,911,630,
563,258,514,252,559,527,913,174,124,753,953,696,320,685,468,467,262,004,832,
028,606,038,980,328,861,089,112,228,779,728,561,672,757,380,409,240,710,546,
101,599,080,888,593,625,945,847,616,432,145,425,983,864,860,073,439,940,353,
036,275,015,045,247,600,100,872,021,932,877,023,559,460,686,541,000,111,303,
111,443,490,700,025,665,170,675,097,601,513,293,948,274,625,164,683,050,159,
035,051,700,799,900,244,143,971,658,453,246,769,827,631,414,493,493,339,600,
036,929,461,516,012,837,198,469,080,284,927,043,589,220,453,483,970,586,359,
446,280,428,566,106,881,840,011,310,779,010,004,227,216,160,315,385,184,815,
062,776,646,839,483,335,698,309,530,767,238,639,340,708,977,886,616,040,600,
787,435,287,522,601,910,123,371,547,011,825,040,013,600,134,277,041,193,512,
560,134,256,876,808,076,992,130,638,945,439,133,998,453,943,657,070,348,200,
807,508,213,937,288,828,013,549,038,025,799,262,588,875,726,275,307,055,823,
234,737,496,253,009,484,873,932,903,900,949,538,723,392,096,423,811,872,095,
655,253,240,398,159,026,344,982,581,555,441,500,860,223,242,194,817,628,574,
426,227,275,918,251,949,712,345,116,066,489,750,162,908,019,335,234,730,321,
370,466,093,226,064,398,397,018,375,756,958,312,172,429,636,048,157,839,434,
824,448,898,490,804,706,832,138,481,159,626,774,239,244,191,740,741,560,744,
943,485,575,555,470,723,303,456,701,976,217,330,525,262,540,937,850,952,022,
605,160,640,242,444,459,274,880,223,653,890,376,186,650,998,348,878,124,722,
377,437,856,564,686,531,465,687,841,681,696,387,150,571,748,329,582,941,154,
100,039,783,900,429,795,049,362,761,445,402,575,001,368,900,223,489,380,787,
426,999,163,782,299,503,634,476,280,603,194,737,946,360,028,095,957,728,999,
944,631,743,976,749,114,139,546,058,796,332,778,975,400,371,697,029,593,109,
913,083,470,675,133,149,410,304,147,246,356,656,033,545,369,826,827,126,704,
264,439,302,805,598,046,228,513,271,476,834,322,384,047,446,251,343,746,967,
527,870,978,093,495,960,214,460,040,300,895,156,089,079,788,528,942,280,367,
581,222,091,385,572,646,115,686,209,212,703,472,448,097,223,715,925,947,836,
648,472,016,008,997,462,896,195,496,689,097,482,186,647,122,243,721,621,469,
989,619,969,825,622,736,742,773,609,280,996,018,884,276,919,998,165,551,953,
869,975,851,172,615,574,201,100,620,705,661,655,744,823,343,609,902,544,114,
330,838,969,355,811,129,587,709,151,988,467,673,625,438,659,233,284,651,440,
154,589,437,740,326,751,991,622,140,308,150,840,279,586,060,913,731,443,352,
483,673,061,261,098,144,306,503,378,384,929,743,052,720,371,162,177,182,132,
496,297,636,698,145,394,808,760,383,462,110,224,189,175,602,041,260,326,497,
827,728,664,585,331,348,272,449,226,253,756,333,166,632,024,297,001,414,379,
504,181,998,507,552,577,560,136,935,284,003,574,412,230,906,446,342,644,978,
991,631,622,826,496,260,110,354,727,138,136,394,900,304,759,973,443,596,704,
804,568,159,001,112,080,867,775,172,819,760,753,760,231,724,213,422,069,948,
961,967,750,594,921,540,791,603,868,180,231,485,541,057,239,617,606,030,110,
624,447,622,462,389,222,496,255,785,716,097,316,543,741,150,363,432,132,400,
684,777,961,636,312,046,589,017,326,262,597,973,842,983,042,907,912,296,970,
868,602,271,497,768,249,645,381,486,778,016,344,330,296,489,395,494,869,490,
492,248,755,734,388,802,769,491,104,349,016,452,124,287,724,926,096,443,827,
412,820,408,990,631,715,354,598,874,559,384,059,933,945,968,350,895,164,285,
397,327,683,700,459,254,999,094,872,969,410,997,905,272,514,350,918,539,005,
143,202,148,387,545,950,394,419,116,493,002,066,106,913,511,009,237,373,013,
773,035,447,910,579,413,519,240,876,891,520,696,416,236,599,100,342,358,706,
885,767,762,661,241,119,428,177,009,438,740,538,759,700,985,303,923,902,278,
693,862,100,165,161,526,921,262,901,227,881,623,517,677,310,796,223,437,092,
466,031,157,265,227,739,118,943,672,831,735,303,446,489,315,703,442,356,302,
537,378,427,501,993,855,800,210,435,881,469,002,266,820,900,155,961,459,776,
692,193,433,550,759,132,821,284,136,143,209,382,517,374,964,987,376,598,630,
788,388,675,523,044,601,226,629,790,623,757,085,069,832,500,027,326,510,191,
090,671,497,932,594,808,163,141,522,267,190,391,724,951,630,443,449,280,121,
447,988,244,245,766,065,595,117,509,780,056,928,018,604,041,818,548,173,456,
283,481,815,197,334,187,316,051,388,771,042,887,940,262,870,312,066,371,671,
531,138,506,197,350,035,296,691,067,300,600,391,315,599,628,411,428,767,717,
240,593,088,900,176,645,765,275,325,104,886,154,562,259,027,101,797,165,194,
705,587,858,050,344,505,926,162,611,852,282,057,394,532,637,126,909,121,964,
729,034,783,440,905,391,906,598,248,856,675,485,138,478,130,608,937,135,452,
934,073,260,154,705,644,871,787,716,486,323,768,376,234,378,138,867,365,714,
100,667,419,296,973,779,054,937,415,598,669,067,387,012,491,697,358,755,662,
428,930,574,437,579,827,875,141,574,210,860,527,645,969,686,074,496,532,276,
339,934,768,656,400,680,014,175,700,739,404,478,169,864,629,174,141,155,987,
588,448,431,456,984,250,296,056,670,011,474,317,633,631,851,929,355,321,083,
922,854,444,215,802,048,743,534,670,919,467,157,701,326,603,104,967,572,984,
666,930,930,828,586,436,519,396,018,191,351,117,421,876,009,323,663,786,034,
651,103,015,198,384,537,602,566,135,749,510,833,502,068,326,819,310,459,533,
752,768,359,658,795,481,395,175,222,531,074,556,927,293,710,326,940,934,677,
777,354,586,539,667,629,693,518,511,948,015,841,376,924,271,948,918,291,764,
760,190,294,959,994,171,083,577,065,441,853,833,543,813,004,862,615,950,291,
532,794,484,593,569,129,257,441,577,634,525,647,378,164,643,809,878,630,783,
224,161,544,595,883,404,074,483,091,296,943,531,721,631,767,133,427,518,343,
964,431,583,183,918,531,187,323,193,216,110,214,522,182,742,611,957,069,838,
098,338,208,913,273,599,977,592,403,554,102,847,947,747,112,324,770,599,048,
400,502,176,436,393,210,195,201,548,703,693,903,445,823,339,640,212,311,014,
130,879,051,639,512,392,643,057,187,709,614,554,002,273,045,251,457,248,695,
077,494,058,645,893,848,489,342,255,512,457,511,501,738,570,923,531,244,657,
133,650,589,851,705,049,267,140,229,869,967,161,773,547,661,058,752,890,423,
832,118,899,070,567,601,406,361,276,231,781,812,507,477,788,807,421,305,148,
621,809,607,868,071,240,370,318,526,918,593,934,969,802,176,803,834,953,568,
132,952,643,106,100,327,478,405,186,069,723,114,613,657,704,093,460,252,135,
696,235,814,236,629,544,428,292,090,545,991,873,412,979,150,781,042,947,352,
183,300,929,907,704,328,504,674,299,626,230,805,411,988,275,389,677,918,659,
376,451,130,943,045,762,639,054,921,036,221,533,183,571,631,546,720,748,371,
160,427,361,780,623,288,922,787,207,721,884,281,387,298,570,924,885,482,713,
412,974,510,209,437,847,179,637,975,043,254,642,930,693,923,273,415,428,232,
221,086,000,966,068,306,450,959,519,664,204,442,101,183,595,573,382,868,466,
075,302,165,168,384,442,485,328,503,689,303,264,765,753,793,219,369,469,035,
085,197,562,140,127,310,173,742,515,974,573,094,617,381,141,028,113,822,344,
664,781,347,895,281,903,932,964,994,802,049,134,243,096,387,610,151,773,253,
123,055,340,996,172,850,108,376,399,478,257,439,387,871,279,802,939,848,191,
106,363,691,614,887,533,595,052,178,894,660,523,487,234,699,104,779,227,208,
876,522,470,895,113,842,496,207,484,503,757,404,449,226,933,333,372,576,598,
470,097,932,645,399,643,818,181,123,503,332,686,760,974,832,087,317,665,645,
673,067,825,020,073,557,709,791,221,443,922,998,647,387,653,585,422,857,734,
069,467,126,586,569,632,256,319,226,761,002,363,294,036,271,250,529,294,039,
863,514,318,743,365,196,128,826,541,100,724,338,624,498,980,150,377,433,477,
858,673,217,303,703,638,129,792,600,544,904,788,018,617,190,963,298,844,482,
515,015,192,167,424,181,754,673,370,130,358,098,806,777,206,416,581,694,033,
892,206,620,388,250,218,259,274,539,656,695,002,248,200,862,366,567,193,639,
136,111,448,935,231,613,087,582,916,132,969,680,407,795,793,177,196,289,366,
861,524,271,808,596,548,006,494,845,228,498,398,479,635,998,789,400,768,615,
261,753,847,966,104,917,607,764,971,577,448,759,515,115,593,211,537,916,887,
956,283,263,251,805,672,767,546,984,846,655,090,650,006,136,840,108,132,166,
405,568,469,983,754,594,794,761,304,953,618,609,522,245,708,738,101,072,287,
163,057,701,676,794,117,781,707,710,892,771,126,585,975,526,783,503,547,021,
095,126,154,739,571,088,868,772,308,436,125,968,446,075,628,303,592,016,492,
969,702,678,511,889,975,288,661,236,389,426,764,050,845,588,390,660,183,564,
703,666,880,051,231,144,690,635,082,805,340,613,683,285,061,958,647,381,733,
479,043,286,009,315,365,766,390,903,898,127,292,529,830,100,631,382,439,162,
662,052,059,754,880,688,023,860,704,818,946,373,647,791,972,999,758,966,765,
562,513,445,901,438,600,078,156,637,034,347,845,573,311,749,773,800,487,978,
863,524,114,234,052,450,360,169,257,381,199,596,390,165,680,393,997,898,360,
642,130,461,171,208,738,459,807,564,309,918,966,280,909,751,063,947,127,175,
391,378,333,251,417,253,909,579,345,639,273,466,305,768,579,518,122,465,964,
491,928,803,912,498,882,477,900,572,804,203,893,976,867,213,752,215,976,979,
948,174,528,020,544,701,730,592,080,729,442,466,457,685,945,466,066,598,691,
150,114,472,244,302,411,127,947,572,016,162,913,769,981,424,273,426,487,759,
264,849,411,060,988,141,620,815,395,685,225,452,297,842,076,497,858,305,122,
128,068,416,769,753,201,251,628,404,520,817,980,648,259,876,207,207,501,494,
793,938,104,307,083,312,964,747,229,732,342,222,202,092,635,278,775,052,249,
941,569,085,265,148,622,126,388,543,501,754,381,794,505,008,526,292,758,795,
244,672,950,992,024,968,814,871,648,198,424,717,424,948,745,199,317,911,167,
756,478,214,864,663,118,946,091,327,949,987,171,735,092,642,165,129,490,304,
311,272,555,534,892,445,105,353,530,684,429,953,381,125,855,255,837,945,938,
198,074,876,031,579,190,599,859,325,555,723,156,270,581,297,574,805,249,441,
437,985,756,035,308,749,587,413,221,638,454,655,209,867,197,878,369,858,175,
296,069,991,308,299,217,083,236,534,679,070,483,892,711,248,012,004,767,371,
724,920,988,189,571,774,744,857,618,613,208,308,334,623,984,860,499,738,477,
718,327,963,971,275,614,045,138,508,808,913,602,112,955,385,052,768,086,066,
547,850,590,690,062,815,207,440,822,888,260,546,811,198,734,652,457,990,743,
364,698,531,799,693,787,364,767,661,609,646,309,114,039,314,722,195,335,727,
115,508,579,683,866,238,844,803,406,084,590,677,078,024,060,040,785,659,568,
227,872,379,949,520,543,332,004,390,725,849,567,435,357,939,257,720,533,447,
809,286,464,080,857,760,112,562,717,714,198,906,437,299,255,130,898,638,537,
771,873,002,364,902,061,688,159,345,613,415,589,513,677,442,614,173,831,015,
720,566,935,928,325,223,654,599,421,240,647,365,725,549,913,174,433,355,353,
262,636,830,313,274,471,601,432,836,097,347,324,523,271,327,885,202,572,974,
615,948,673,743,707,892,460,805,943,860,252,783,601,940,811,772,784,457,871,
247,903,983,071,574,564,986,358,124,646,901,312,520,551,709,713,130,828,412,
134,848,660,553,191,743,222,096,013,562,156,492,591,777,559,729,298,219,926,
086,893,553,891,146,414,617,269,169,030,601,485,041,280,379,859,905,021,934,
701,528,300,304,186,180,809,026,910,329,468,823,874,234,294,666,437,184,777,
561,415,703,110,902,131,660,538,940,505,727,651,487,561,152,301,843,512,674,
421,678,856,729,667,295,014,221,860,876,434,138,077,376,793,829,640,925,763,
925,846,199,643,062,203,117,938,326,795,379,410,170,051,938,822,155,162,255,
679,922,659,919,970,550,632,306,703,035,163,269,947,010,553,895,153,514,018,
261,800,263,296,681,480,728,733,557,922,734,606,133,631,044,319,752,501,139,
932,985,091,384,912,941,425,235,859,031,130,868,589,718,729,406,610,747,338,
446,873,275,803,427,770,852,968,009,831,458,866,862,316,663,157,328,968,013,
914,688,045,303,794,181,501,115,134,426,498,880,860,648,617,325,066,225,762,
652,669,089,358,932,572,652,285,842,097,807,047,450,066,777,802,617,089,495,
133,401,259,359,303,344,627,057,010,929,748,975,497,884,746,037,372,732,512,
265,924,568,990,065,222,218,480,347,467,374,046,310,063,217,864,051,591,465,
464,499,686,227,676,156,396,223,744,270,874,836,141,151,592,781,151,418,542,
346,453,928,561,740,863,835,178,285,021,232,265,240,338,700,932,600,008,244,
721,055,526,664,457,509,840,288,602,027,533,741,108,835,862,815,148,191,690,
564,263,226,284,865,416,923,510,826,605,492,415,585,906,059,168,638,439,911,
255,220,124,032,841,433,805,925,656,480,425,189,665,332,074,959,162,504,544,
571,068,973,052,491,352,393,582,231,405,887,422,640,888,775,722,962,801,120,
668,439,802,243,967,151,375,270,832,564,505,703,107,807,592,454,900,498,188,
707,386,312,297,805,556,948,496,461,423,219,977,642,160,744,037,880,127,733,
889,796,420,102,227,266,023,195,947,649,531,178,298,770,695,593,808,003,867,
264,352,856,161,648,041,551,251,036,021,116,509,684,551,181,587,498,352,408,
357,028,148,289,621,580,609,284,105,714,916,357,472,462,427,375,773,316,632,
504,037,483,450,873,804,791,856,292,641,919,181,228,351,493,374,343,810,625,
317,103,820,172,372,408,007,619,944,329,459,658,587,356,870,049,227,587,690,
081,720,104,284,243,645,274,439,487,238,410,476,170,318,834,983,542,178,025,
030,674,448,234,383,393,873,390,671,377,253,107,611,973,587,468,657,385,102,
005,341,092,320,072,590,825,316,083,941,956,849,593,351,989,864,982,112,042,
260,105,446,508,638,463,167,230,764,491,204,439,904,651,085,332,668,557,709,
427,190,345,461,245,803,537,714,244,490,418,997,009,938,462,800,776,244,131,
648,237,921,863,227,722,164,578,007,881,187,450,981,726,725,159,054,574,662,
755,984,373,087,156,177,952,460,440,440,430,275,702,686,447,124,909,235,003,
664,339,679,054,302,173,653,461,083,276,524,174,022,810,667,357,165,877,698,
797,928,364,267,375,079,180,905,524,016,868,744,178,006,488,081,952,754,850,
445,220,830,147,276,773,778,548,994,336,780,367,213,162,357,933,944,090,227,
830,349,154,387,198,782,359,320,842,031,515,657,553,597,026,889,668,878,083,
627,769,694,260,261,070,394,715,009,498,233,318,534,199,492,164,856,542,880,
386,780,258,659,160,105,890,553,225,224,344,361,382,635,517,126,343,489,069,
612,042,527,132,126,463,080,103,874,338,435,914,673,197,440,992,096,885,343,
502,320,217,591,673,342,967,023,183,929,329,472,721,252,193,723,058,613,148,
574,759,410,121,032,174,760,305,114,407,409,446,014,022,344,107,514,686,389,
249,613,889,620,859,702,394,021,305,494,146,669,491,397,749,721,425,670,055,
047,160,318,525,874,130,709,433,136,264,916,017,603,637,544,545,836,448,514,
514,635,699,818,733,441,019,734,692,429,141,821,461,257,805,515,560,517,118,
913,290,381,658,372,966,547,167,657,146,275,511,130,988,848,294,053,596,702,
690,533,691,034,601,115,391,570,209,143,019,805,409,299,479,511,465,531,123,
689,212,057,025,183,216,460,006,744,031,780,746,306,399,457,690,449,328,039,
637,323,308,622,798,318,287,509,573,007,703,675,092,831,305,135,595,208,445,
071,971,946,889,972,693,003,619,559,274,362,887,446,995,994,348,841,456,481,
779,448,186,473,797,016,310,534,601,383,140,897,175,802,861,752,194,103,525,
183,927,419,549,005,559,817,319,443,151,731,408,986,099,341,573,760,341,460,
386,865,603,169,610,391,138,227,465,460,646,233,044,179,053,052,160,696,316,
343,475,375,837,717,223,543,191,527,740,196,976,704,253,919,413,482,594,093,
436,657,036,351,774,299,601,552,113,447,997,790,773,106,946,148,001,580,844,
087,500,469,802,550,115,944,416,072,214,181,404,699,341,350,316,770,859,956,
113,779,457,624,878,104,883,566,784,993,068,515,314,505,720,626,455,041,049,
735,805,659,228,529,887,618,572,279,047,648,910,887,480,821,047,382,093,805,
056,102,194,550,631,549,164,604,122,799,042,152,013,053,528,687,591,196,103,
546,033,720,792,674,532,320,791,869,001,720,110,833,659,364,873,267,875,344,
544,989,494,818,106,132,590,709,345,726,420,482,118,937,034,591,535,812,549,
115,402,846,467,251,556,217,889,697,828,518,060,303,483,003,511,893,028,240,
389,312,730,781,030,441,341,356,783,415,006,324,778,309,790,753,182,711,019,
861,707,643,252,521,548,975,882,867,782,966,709,575,774,753,254,775,755,361,
998,329,789,616,813,363,500,439,753,092,329,487,210,739,261,528,170,581,333,
314,031,582,036,896,753,552,035,661,591,432,085,070,049,396,427,040,544,654,
401,916,872,357,989,725,089,365,987,607,523,137,733,267,179,409,385,199,829,
244,334,547,645,827,688,956,091,082,725,348,066,176,643,147,215,908,809,594,
072,482,907,755,787,444,791,322,001,378,572,134,281,514,769,340,929,634,024,
413,032,683,082,464,287,472,971,247,641,237,060,410,847,873,177,217,475,639,
729,988,442,948,534,562,786,961,967,211,446,348,398,037,155,146,769,559,662,
218,932,404,428,202,775,390,247,003,350,155,715,238,060,843,144,376,633,174,
474,133,595,172,754,821,232,143,586,253,138,541,424,442,930,881,124,619,815,
954,294,368,565,096,035,666,900,851,665,418,094,854,051,389,885,656,927,913,
671,386,621,629,259,086,332,856,820,724,178,874,534,384,398,245,079,706,653,
035,860,197,565,828,192,042,236,203,922,224,205,063,168,748,016,061,322,071,
296,897,493,200,670,190,808,059,208,607,477,729,046,951,541,039,295,094,016,
872,499,040,243,952,786,339,343,713,727,600,277,391,607,617,858,976,737,530,
787,951,383,230,994,371,973,986,212,510,636,407,991,577,327,569,693,326,933,
357,327,602,488,873,653,650,700,436,605,763,005,701,412,729,327,629,827,367,
550,007,728,262,056,945,914,393,685,444,998,670,299,216,608,447,204,580,661,
005,311,009,871,994,493,382,880,718,184,914,472,343,249,159,561,289,577,460,
092,858,860,765,730,201,358,727,585,777,591,839,774,801,619,791,322,555,098,
838,520,091,403,385,717,666,199,332,918,316,645,544,467,598,473,667,416,581,
030,906,744,903,357,520,250,323,136,419,777,823,511,599,077,358,154,225,994,
618,921,805,309,995,918,859,227,383,425,311,710,359,175,995,809,585,606,194,
902,198,967,129,642,926,125,120,151,571,940,233,560,644,006,278,396,621,965,
302,624,101,062,315,020,947,344,315,255,867,920,998,256,244,964,524,233,830,
897,191,164,462,891,223,633,438,399,168,981,084,785,795,495,537,846,464,949,
607,335,072,853,077,843,184,381,523,201,066,227,366,501,587,239,248,808,906,
861,463,064,219,211,214,766,016,977,614,472,411,687,774,596,937,463,471,130,
215,969,346,234,256,636,251,036,174,448,270,350,094,464,261,568,410,432,284,
800,453,115,410,704,230,723,797,965,154,118,319,858,308,086,921,783,989,502,
172,625,134,520,204,962,372,704,368,611,593,999,132,403,950,888,802,556,577,
598,962,702,767,973,164,276,153,740,844,378,824,137,993,669,238,992,667,128,
352,211,545,036,616,461,486,426,731,153,023,110,332,420,108,930,973,663,997,
635,433,836,911,999,350,314,572,086,305,486,183,580,535,677,262,814,274,366,
632,626,186,550,697,741,832,550,339,681,060,569,490,949,157,650,124,287,113,
309,816,458,405,782,954,702,918,763,655,592,023,250,640,516,856,947,943,979,
455,272,207,375,285,020,849,371,187,760,612,955,480,040,670,851,380,146,000,
901,076,282,723,444,986,166,022,496,221,624,194,230,275,835,695,537,198,624,
913,964,456,555,788,007,073,622,524,812,907,537,291,045,022,887,555,981,166,
859,475,944,931,286,334,146,818,416,631,782,661,910,947,616,352,687,346,332,
701,409,724,510,546,745,418,330,355,557,219,705,192,713,751,203,095,388,515,
632,489,876,787,189,920,169,940,150,290,751,995,632,472,616,157,729,742,097,
197,670,350,976,817,424,450,185,237,743,949,179,501,428,305,898,383,385,007,
756,059,597,056,391,245,524,029,585,098,202,919,058,988,492,619,626,164,403,
264,692,054,730,836,907,923,328,976,711,109,391,997,173,950,800,968,992,532,
038,940,437,478,224,076,894,486,514,153,141,248,925,570,165,068,402,035,059,
515,226,683,891,076,949,564,763,861,079,602,099,824,858,148,771,824,144,801,
988,677,675,506,842,122,891,551,412,213,453,164,254,906,463,952,557,732,634,
475,701,241,638,824,774,092,299,269,105,877,761,035,042,855,098,782,438,594,
677,561,219,426,394,870,773,984,583,444,106,048,888,685,636,992,149,839,181,
561,169,074,957,106,331,675,464,476,564,264,792,310,274,071,542,770,303,701,
897,963,809,893,316,515,462,996,208,910,833,316,848,886,050,303,470,861,764,
737,329,281,474,802,403,554,146,893,207,498,921,778,994,503,500,726,177,376,
501,536,955,470,549,858,985,608,182,479,973,624,653,119,365,829,381,174,310,
464,250,166,637,777,106,727,946,010,426,862,050,844,029,379,065,731,938,231,
965,237,434,781,739,134,129,447,734,483,127,816,999,937,552,715,289,254,112,
841,602,892,629,731,661,717,631,992,194,161,637,266,174,833,222,086,825,386,
163,167,747,060,448,842,044,513,206,239,775,810,677,846,015,847,094,035,962,
620,557,535,104,745,114,311,551,629,463,601,896,042,177,512,091,165,205,902,
109,408,409,437,897,263,255,639,005,020,112,559,132,673,359,993,458,996,703,
319,843,397,756,532,884,089,053,272,786,972,497,162,436,564,471,193,104,092,
088,563,977,439,677,482,973,248,774,288,644,248,043,385,369,398,734,225,586,
835,680,978,357,675,989,282,846,780,034,637,516,395,427,068,924,401,009,170,
882,140,162,559,594,986,027,001,601,064,360,314,509,950,749,837,417,889,551,
873,188,656,928,535,729,230,730,294,231,004,034,458,326,805,072,775,512,570,
554,244,439,067,866,124,867,025,310,724,164,096,646,785,200,262,930,615,115,
956,777,272,673,624,345,682,850,576,986,713,063,592,490,182,788,532,978,057,
230,451,888,589,548,872,413,244,560,887,969,815,842,217,161,546,933,799,557,
220,697,789,373,522,900,823,766,590,862,955,124,063,667,764,043,120,449,237,
970,031,422,651,389,249,184,055,543,845,908,369,632,040,821,179,934,080,680,
263,675,929,121,314,041,116,155,590,714,563,119,530,195,960,275,198,883,615,
233,171,161,756,487,242,971,804,968,039,883,769,978,948,384,526,086,514,042,
596,209,310,347,194,799,405,153,518,829,737,356,577,747,342,124,391,546,534,
790,720,001,153,723,677,229,907,250,829,893,322,388,028,091,586,191,976,011,
729,916,758,541,145,358,389,977,015,951,057,883,923,218,821,109,903,140,687,
823,650,712,275,816,124,360,830,137,242,742,161,627,473,116,424,783,798,515,
892,027,866,948,665,034,607,660,538,858,439,574,473,051,377,608,606,236,568,
124,012,245,736,255,738,436,608,858,039,157,310,499,026,122,888,146,300,025,
975,000,167,933,004,237,057,478,666,062,219,856,979,033,538,420,343,753,420,
821,487,352,391,580,333,994,467,142,326,861,316,959,172,486,261,137,106,516,
511,223,284,982,614,650,278,785,540,185,634,504,470,968,592,095,448,598,701,
326,258,606,015,484,346,726,304,479,815,141,437,019,063,405,610,254,038,336,
630,465,007,897,178,167,735,460,047,647,577,135,448,179,062,986,461,603,617,
088,627,108,144,752,649,990,406,580,045,509,459,315,155,014,745,904,979,776,
335,782,997,534,600,573,851,851,608,943,283,789,474,644,411,882,488,740,827,
215,453,991,068,140,321,071,342,629,215,952,593,489,716,803,180,357,446,737,
207,271,111,964,397,102,299,337,587,851,388,475,437,596,903,025,458,435,111,
342,204,778,858,522,974,734,699,736,437,055,484,019,513,703,097,537,215,158,
928,464,410,157,866,664,335,061,967,839,813,571,607,656,683,695,818,368,240,
605,594,762,429,797,624,181,320,178,142,624,481,592,356,539,038,331,348,093,
033,240,766,911,588,424,703,776,788,515,238,470,778,281,273,886,442,784,740,
388,321,141,387,602,177,748,669,153,836,602,709,520,651,876,154,203,837,829,
620,937,879,751,548,533,402,097,779,992,674,695,620,600,246,866,409,280,397,
333,148,315,796,088,023,776,207,107,262,570,289,464,087,040,467,583,417,754,
732,277,919,729,213,624,198,046,154,310,307,093,393,213,037,899,652,821,205,
314,264,799,333,694,521,952,393,523,775,620,451,624,122,554,240,173,225,808,
700,540,635,951,193,542,397,608,365,621,465,350,421,189,137,592,219,311,890,
261,999,953,422,173,500,874,171,008,254,808,701,170,411,322,073,638,679,130,
791,983,707,707,692,527,097,639,069,872,005,653,991,980,807,450,779,329,026,
926,279,133,496,439,597,391,436,697,277,379,119,546,477,750,103,840,176,492,
657,672,574,533,925,124,240,369,949,974,501,791,419,865,222,686,602,357,504,
906,768,877,422,530,631,834,311,626,295,342,284,360,989,139,168,353,214,297,
169,943,727,005,394,978,407,386,873,211,785,779,864,671,423,083,337,718,762,
497,200,956,388,919,161,977,103,348,687,742,139,921,684,126,092,796,902,735,
751,288,969,819,906,871,476,398,214,838,291,460,171,281,213,974,264,586,988,
609,270,984,509,242,598,325,996,884,693,974,688,318,834,531,347,338,883,884,
182,825,826,875,318,478,808,534,864,303,903,976,102,657,423,124,200,423,208,
075,036,336,078,728,223,298,677,674,125,795,767,582,337,000,857,560,554,283,
763,666,950,911,100,512,181,173,914,021,940,689,562,567,111,888,814,310,514,
576,364,543,913,708,999,666,219,685,447,440,486,551,992,329,305,179,905,419,
832,064,754,031,558,225,216,640,723,691,820,799,752,160,855,711,661,149,399,
590,763,479,785,432,803,998,607,065,948,459,335,415,847,347,365,563,685,776,
172,207,823,373,322,963,397,760,358,457,435,546,348,917,313,704,694,652,412,
195,879,656,880,709,544,957,871,132,162,757,608,757,464,327,896,388,411,675,
909,852,197,972,947,590,130,727,846,766,456,250,700,097,374,945,148,435,870,
891,781,258,268,444,627,779,792,033,036,773,221,865,798,740,223,486,644,474,
753,703,577,088,031,771,651,141,909,405,995,360,230,403,648,588,096,119,583,
432,613,115,091,855,160,727,325,665,556,704,844,038,730,538,454,516,918,510,
728,411,723,921,963,821,988,164,395,111,827,435,170,840,837,889,051,826,572,
092,207,272,827,079,537,818,925,851,348,362,390,706,142,974,633,761,718,017,
080,584,042,896,163,603,718,868,056,593,450,390,768,039,971,361,293,404,814,
024,007,716,828,078,595,969,601,046,376,088,734,200,187,791,255,947,789,678,
612,713,915,295,289,817,481,666,925,830,102,422,991,344,912,985,819,039,344,
592,150,869,273,929,404,355,269,904,206,789,397,904,847,920,980,009,248,314,
198,384,847,347,216,515,511,241,504,633,689,613,326,191,814,084,600,539,477,
120,679,312,428,501,288,182,505,591,506,040,239,356,420,369,110,172,571,518,
411,454,201,571,462,251,347,870,493,943,131,943,786,380,167,664,864,092,937,
557,707,355,152,014,101,575,471,186,535,223,197,998,858,639,160,863,887,575,
845,309,051,633,274,184,873,087,311,974,460,183,131,960,349,705,421,669,145,
389,506,640,813,307,680,689,841,708,333,305,483,309,851,585,764,575,310,553,
062,372,769,884,628,627,998,764,845,672,696,370,727,533,866,769,775,698,667,
735,141,728,456,668,830,248,620,375,537,016,895,544,090,450,078,329,351,978,
370,069,901,867,962,819,269,228,339,352,022,602,766,437,416,119,753,575,596,
491,115,321,693,959,712,558,526,412,622,941,342,075,975,867,490,567,209,298,
600,281,811,840,137,188,021,961,531,441,419,211,229,316,091,067,589,872,870,
014,961,880,257,408,475,142,421,047,725,497,899,989,671,994,458,575,931,810,
043,987,003,998,408,998,219,514,381,592,807,186,719,353,395,125,882,928,630,
945,440,507,379,526,426,665,018,227,954,610,247,910,494,365,793,680,850,522,
555,704,691,758,565,020,066,791,809,045,838,475,319,747,224,095,311,815,780,
979,059,760,553,081,972,707,509,438,575,731,476,940,945,894,335,414,599,283,
984,792,313,311,059,225,931,901,982,676,539,092,176,929,665,230,773,573,809,
349,617,584,775,254,525,480,047,339,720,913,453,066,492,303,701,076,039,282,
700,437,408,934,684,112,112,855,254,620,302,339,915,579,427,817,434,045,610,
093,346,881,008,553,033,178,730,426,995,005,394,319,122,365,562,134,333,140,
064,762,992,428,349,628,243,427,714,546,620,077,806,087,152,465,991,441,972,
983,002,694,943,010,953,136,005,653,945,863,938,668,254,819,070,956,916,044,
448,681,011,575,803,972,077,878,573,662,334,725,291,401,821,674,593,510,484,
033,447,621,034,945,459,415,325,965,905,891,269,709,191,921,715,183,138,850,
607,569,200,416,579,122,070,961,175,732,498,283,800,180,883,135,177,313,004,
149,472,739,140,004,050,568,375,790,713,545,279,884,324,669,996,069,969,253,
289,482,605,455,741,341,571,271,989,499,005,878,395,494,350,847,330,460,704,
866,308,541,580,456,224,893,719,542,365,558,851,968,176,686,281,975,411,461,
887,707,761,953,018,023,743,152,415,545,584,808,073,637,401,250,074,385,331,
588,734,557,280,420,578,636,677,347,814,673,381,971,505,460,331,337,558,270,
500,225,180,899,874,231,805,046,029,165,611,914,170,175,350,413,662,020,402,
053,272,263,757,341,879,669,522,619,606,081,254,407,841,708,605,621,053,375,
941,866,880,428,553,325,749,567,411,145,046,985,410,026,110,891,745,258,296,
684,480,456,026,082,351,757,720,247,361,083,689,348,976,499,668,630,426,500,
194,873,471,759,126,301,257,214,677,576,857,245,588,858,514,131,835,884,799,
674,653,882,845,625,223,139,080,631,138,684,920,071,757,053,262,246,014,001,
569,230,116,655,070,443,904,106,824,788,697,187,249,815,503,440,470,810,847,
937,285,528,420,156,513,899,472,474,839,012,227,103,239,344,497,763,072,904,
212,343,048,746,485,490,851,260,702,207,141,953,920,851,778,233,981,470,791,
175,566,481,909,754,011,822,671,493,075,588,736,163,635,324,560,261,735,545,
010,981,977,210,993,962,380,621,927,460,158,394,694,252,833,778,696,298,447,
240,732,684,265,082,567,456,395,863,767,252,006,338,742,688,857,906,435,999,
158,335,725,142,828,054,550,220,081,942,013,865,081,877,686,885,917,352,029,
193,042,800,346,229,041,361,030,548,894,905,216,043,335,867,048,023,628,647,
047,005,112,864,371,222,174,929,112,200,637,410,833,161,625,758,062,757,171,
350,189,895,651,157,964,973,535,288,852,827,735,046,986,261,802,005,990,377,
536,728,817,412,941,446,310,597,416,912,713,481,512,557,966,723,745,920,370,
515,769,252,499,153,346,761,750,032,772,127,254,571,695,180,940,935,590,142,
841,255,513,111,080,628,933,419,609,299,147,018,983,028,939,024,359,615,956,
154,457,660,717,342,582,442,449,678,075,526,166,222,984,532,984,558,059,423,
151,888,826,553,038,573,496,716,729,125,667,556,879,805,027,603,551,823,321,
634,224,107,879,074,361,311,491,046,189,528,196,340,766,481,513,017,862,324,
857,734,446,898,450,814,281,365,821,971,302,639,147,273,601,126,184,474,221,
536,323,198,066,388,044,924,656,940,634,013,388,577,481,267,780,710,303,058,
115,627,541,854,757,589,789,031,514,312,715,759,353,364,079,281,529,151,629,
367,092,689,777,788,505,748,276,214,159,988,236,058,952,519,534,852,320,459,
227,350,756,476,199,241,815,444,016,593,178,612,387,819,213,569,024,523,619,
032,341,007,209,220,598,266,068,733,044,223,182,601,903,842,177,126,872,908,
916,531,890,751,954,709,402,114,694,601,938,411,601,752,603,996,552,944,641,
952,343,925,167,473,424,492,480,859,135,540,892,355,353,584,319,706,829,494,
269,895,215,712,037,915,664,623,053,975,365,363,058,657,574,686,750,965,169,
070,717,137,176,484,394,578,444,159,195,473,458,017,296,060,145,268,781,307,
795,997,533,711,599,368,080,562,955,096,492,387,403,836,539,535,850,518,485,
975,713,770,653,504,504,964,542,177,636,999,883,936,206,860,315,355,666,026,
015,010,898,300,993,621,871,165,169,603,501,480,313,006,868,434,921,287,059,
003,850,047,804,775,036,983,047,166,173,890,272,768,858,485,972,700,587,242,
779,071,972,702,821,316,651,386,886,758,085,568,857,169,907,867,191,812,518,
888,351,083,511,224,404,481,614,288,879,255,288,572,573,533,077,981,410,116,
603,800,767,955,594,870,544,915,209,776,652,230,581,127,620,982,802,928,573,
137,755,382,646,071,386,828,686,863,005,822,468,081,000,144,386,149,718,035,
917,373,259,258,693,927,258,465,968,637,401,005,740,490,577,694,347,595,516,
556,088,838,353,189,973,937,728,992,016,397,271,566,660,141,661,993,756,271,
591,318,591,731,776,578,466,388,791,684,270,075,201,246,446,827,829,164,256,
675,096,645,296,834,743,485,104,486,116,619,528,822,828,557,632,361,961,593,
257,466,087,149,997,630,770,771,341,487,234,509,060,680,649,104,898,443,890,
206,039,458,286,818,484,314,016,310,439,108,261,246,986,720,758,112,662,915,
310,869,291,758,858,859,194,025,088,392,090,131,884,830,509,077,538,302,486,
318,289,332,495,261,688,203,022,323,859,373,513,781,191,070,154,517,732,101,
838,453,956,417,398,400,834,945,311,288,061,356,746,622,189,780,448,799,569,
024,830,774,797,042,884,957,686,107,198,743,925,979,402,277,131,217,128,197,
616,335,554,002,774,011,869,137,850,970,521,385,106,926,524,443,213,935,860,
058,192,795,016,731,240,644,267,302,070,578,318,257,172,326,060,249,587,329,
214,008,578,074,955,749,713,561,937,588,123,112,412,075,140,325,708,874,444,
077,772,854,817,792,241,165,775,220,852,213,771,526,958,912,024,138,040,626,
798,248,166,871,242,384,151,960,031,848,344,394,350,960,110,376,057,843,540,
453,187,997,459,486,566,880,130,883,586,671,543,515,805,895,344,446,786,866,
860,478,079,690,750,512,454,601,463,787,852,468,274,205,374,592,300,614,739,
242,782,939,559,581,925,208,307,183,487,473,872,327,169,322,930,689,262,376,
473,150,466,449,180,761,940,193,805,700,661,830,388,433,126,945,459,506,519,
256,361,615,169,587,582,955,941,293,519,574,828,557,347,907,535,761,092,109,
810,044,561,133,095,210,374,177,261,089,654,200,757,523,198,262,578,950,508,
717,001,662,494,870,392,774,978,116,732,038,210,977,703,986,564,974,948,410,
048,087,176,392,286,965,068,092,374,975,274,881,900,173,792,872,143,849,061,
059,181,975,008,885,319,916,241,816,892,968,656,239,141,614,221,277,987,421,
773,681,571,232,376,163,924,541,473,960,241,065,038,385,241,948,439,933,377,
973,390,049,772,512,965,916,928,765,179,510,722,516,079,874,769,200,661,157,
149,893,620,423,759,258,716,115,897,427,134,580,552,565,929,033,706,307,782,
150,435,338,239,564,482,730,944,136,285,696,692,738,266,965,138,097,852,712,
012,063,346,713,556,807,699,662,710,862,670,364,759,513,194,512,514,472,320,
852,542,816,451,652,542,751,725,545,282,760,283,356,572,194,961,955,348,810,
320,667,997,310,726,767,724,918,661,338,464,265,767,878,376,090,571,263,264,
699,767,440,887,854,100,159,933,212,446,578,667,946,706,291,014,466,015,846,
518,576,428,735,313,003,065,991,651,265,286,067,136,224,067,564,139,822,994,
794,950,406,782,531,181,057,318,472,275,013,558,855,903,200,810,365,120,881,
100,642,195,300,400,059,976,657,675,969,337,921,012,851,537,201,692,502,433,
019,829,904,697,708,945,604,878,067,102,714,118,105,071,614,309,089,567,327,
696,084,841,533,100,876,321,915,936,427,456,287,539,725,732,389,813,574,581,
083,163,056,637,714,544,160,227,974,754,668,462,551,232,360,144,864,183,172,
746,480,311,958,062,096,273,016,135,305,448,655,524,781,708,194,295,186,497,
670,999,403,946,869,044,030,995,306,156,861,480,143,800,978,669,282,340,831,
702,996,833,193,793,322,041,082,901,634,764,352,049,575,961,198,554,082,076,
520,141,951,044,697,464,259,470,250,880,478,914,277,529,701,831,531,841,483,
498,116,609,470,240,870,618,763,883,638,012,364,386,488,775,471,816,159,198,
172,925,326,294,443,959,634,818,141,226,805,713,162,239,702,817,022,160,041,
736,692,031,523,801,346,048,817,507,945,472,572,946,661,974,135,352,136,523,
280,211,921,928,854,329,175,758,213,941,908,060,426,788,528,724,305,546,174,
725,799,892,483,494,075,996,107,955,845,274,659,459,043,395,664,924,853,948,
687,754,150,220,811,455,612,398,658,439,217,331,397,827,375,087,249,581,352,
083,080,571,302,816,859,128,195,870,994,802,439,537,502,213,586,059,330,127,
078,649,108,877,332,462,656,626,938,965,154,831,559,522,306,409,330,151,621,
983,418,647,501,292,092,781,739,008,363,373,297,949,988,824,569,909,921,925,
443,691,518,970,497,002,889,969,764,564,679,103,720,486,550,013,860,289,961,
094,561,264,239,395,615,018,654,263,946,671,156,615,400,487,039,981,614,614,
668,076,371,230,517,890,402,122,303,478,937,448,861,771,575,927,391,839,128,
747,021,684,577,763,880,073,846,496,439,784,238,667,379,954,190,499,435,717,
276,318,864,458,271,002,289,023,253,151,349,915,624,945,239,644,486,036,635,
263,587,451,385,928,895,661,524,380,855,256,203,113,710,368,556,058,178,835,
604,408,827,476,752,916,815,385,351,717,966,588,557,898,743,238,584,197,626,
344,439,929,154,001,868,951,791,449,686,620,255,652,457,664,450,889,802,317,
008,476,241,906,028,031,790,872,438,364,176,030,178,762,697,863,595,983,029,
428,993,182,914,602,925,803,168,748,343,306,398,407,215,216,392,313,771,423,
535,336,072,812,818,098,208,488,730,978,091,988,303,620,500,075,246,535,340,
157,886,626,918,779,319,462,584,789,707,691,473,936,367,555,221,159,742,985,
679,024,198,710,896,077,105,649,000,303,548,075,553,726,722,817,200,944,336,
108,104,383,895,652,816,881,793,222,799,442,101,022,168,277,367,361,101,256,
897,022,152,400,879,975,857,071,245,003,923,013,709,461,065,471,092,793,538,
210,414,821,044,850,350,376,028,234,291,120,484,883,651,992,303,434,335,374,
875,827,007,549,603,900,983,689,898,218,624,222,264,935,119,158,207,663,015,
329,385,343,889,675,228,689,018,777,348,748,819,938,718,147,332,463,244,335,
123,557,721,667,756,088,491,859,653,275,628,699,377,878,613,442,568,206,459,
573,446,262,588,717,725,117,100,011,194,673,200,790,066,375,689,055,368,206,
474,876,235,182,157,710,341,770,588,630,078,505,216,198,649,402,505,566,026,
326,371,107,885,597,211,150,114,333,980,835,203,094,350,630,620,734,464,892,
613,600,075,106,068,812,313,052,429,519,227,675,967,089,557,049,274,500,052,
138,083,289,371,485,513,082,138,461,309,535,710,941,648,657,453,050,415,499,
309,942,142,947,150,413,704,203,957,713,418,485,555,964,026,546,376,316,127,
275,452,181,223,456,883,905,437,036,565,594,456,515,278,716,202,931,394,009,
876,527,465,873,374,275,363,135,768,875,291,760,232,351,008,380,862,454,769,
065,440,078,405,403,052,452,211,177,608,592,128,876,549,954,252,896,035,033,
666,782,800,777,315,144,874,770,389,872,877,441,530,096,828,945,619,414,405,
899,297,293,529,038,004,940,993,355,181,901,065,070,721,217,080,009,590,361,
305,286,134,293,126,549,637,681,271,730,393,697,487,247,076,799,481,683,914,
671,570,011,747,656,848,270,106,977,959,350,199,466,459,663,502,246,387,934,
870,557,097,465,462,317,546,542,623,508,706,837,979,488,834,898,710,876,181,
693,104,909,748,404,141,666,974,126,055,764,568,074,638,364,202,317,085,092,
861,708,394,339,185,976,210,354,180,850,156,133,407,150,447,789,449,340,625,
368,924,624,356,510,548,385,915,076,674,937,140,579,208,166,819,807,528,116,
469,131,048,382,944,787,097,995,335,629,547,418,329,680,616,327,998,745,495,
062,865,716,376,113,616,139,700,634,679,150,500,917,838,699,821,296,314,140,
749,299,798,872,783,180,736,494,078,166,690,692,261,630,365,670,958,218,332,
394,622,672,240,227,359,775,385,652,132,017,124,114,814,134,806,556,099,183,
240,019,928,586,102,105,747,823,058,724,824,252,764,410,548,700,351,841,483,
632,524,875,067,591,492,178,374,245,939,208,074,326,421,961,305,646,357,583,
912,626,808,790,124,662,808,071,994,560,895,566,189,892,050,032,539,436,809,
439,541,228,990,252,230,583,039,002,373,467,779,646,044,640,324,035,339,342,
335,540,845,872,465,745,663,821,872,671,165,538,319,189,526,884,558,246,299,
446,682,569,225,903,993,787,164,470,142,713,249,128,377,321,647,288,881,441,
891,543,084,777,130,139,461,893,434,054,252,443,945,043,565,402,244,168,870,
768,173,318,285,946,076,084,844,064,033,237,037,217,153,446,437,985,217,671,
532,102,484,120,803,411,820,342,147,908,757,130,694,382,470,979,720,880,289,
937,675,297,978,607,840,616,741,800,111,163,883,500,052,322,725,656,117,159,
772,231,217,497,179,275,477,653,216,220,028,841,853,066,731,591,885,521,024,
989,691,369,113,894,043,371,312,962,859,736,144,464,422,017,490,328,474,664,
068,994,576,056,662,939,439,600,426,177,727,900,952,258,287,456,819,006,443,
941,110,803,495,490,435,618,607,890,082,564,480,055,144,704,231,769,619,271,
416,801,364,510,651,551,617,546,463,917,902,269,762,750,879,972,834,093,142,
701,840,916,277,685,852,758,539,210,896,166,367,643,028,018,228,440,437,648,
314,453,830,885,664,312,685,456,810,540,857,943,963,932,783,826,710,452,970,
146,203,948,977,280,005,567,653,645,752,071,469,695,097,774,274,727,058,234,
982,025,300,571,414,431,280,340,117,603,417,584,564,002,092,882,944,652,040,
398,406,808,505,718,201,769,507,953,259,165,659,029,738,413,248,005,572,883,
831,596,101,668,629,970,166,714,061,450,076,346,864,908,275,401,166,200,534,
229,787,323,371,139,456,718,205,340,638,631,541,080,730,914,040,782,424,340,
515,548,181,462,747,626,100,806,837,586,468,373,385,839,484,845,028,007,038,
153,304,639,190,106,551,013,388,716,430,329,008,371,700,712,099,499,097,176,
284,013,267,771,486,196,205,542,245,580,956,035,885,329,841,142,954,476,688,
617,183,621,856,954,817,866,022,886,197,855,470,383,984,267,694,701,314,022,
110,748,566,309,395,929,179,131,760,692,525,768,970,804,709,450,786,286,946,
419,433,607,088,426,887,656,339,074,073,591,941,650,088,107,671,977,482,086,
717,226,660,978,233,384,400,230,297,966,141,776,426,984,216,608,680,914,556,
032,361,239,253,426,082,201,648,600,678,794,231,212,684,450,849,912,377,730,
591,497,858,894,893,989,513,549,298,841,531,950,262,094,338,954,913,546,935,
502,720,233,996,035,926,142,941,109,170,576,140,400,964,101,265,685,193,429,
972,603,674,089,036,491,691,502,928,102,018,684,942,068,091,389,066,338,225,
602,878,658,828,550,090,895,335,907,999,689,956,223,675,113,960,747,274,134,
780,787,684,749,800,743,296,159,587,426,818,352,464,022,112,470,329,486,409,
165,316,028,582,508,823,824,428,706,972,522,540,062,280,768,912,927,643,448,
344,952,690,360,425,426,073,290,976,333,174,244,085,451,708,375,172,130,070,
533,795,053,801,306,038,739,796,693,262,816,108,420,861,367,189,666,241,703,
972,569,052,242,456,957,181,748,830,833,753,338,608,090,365,207,858,833,397,
265,022,292,189,716,879,904,200,230,592,934,966,646,214,972,411,452,359,083,
332,468,572,830,061,056,467,669,812,925,638,502,817,999,621,327,224,188,463,
320,862,904,670,470,787,489,865,882,061,710,696,393,260,447,648,534,077,038,
360,975,380,967,374,868,469,567,569,033,224,261,564,157,106,150,750,523,957,
420,809,261,846,274,243,150,296,508,336,514,710,241,249,744,752,947,758,507,
203,570,983,561,675,315,052,678,469,473,521,117,815,496,098,637,386,714,054,
566,903,648,681,149,465,633,267,943,590,259,000,963,959,811,318,753,230,809,
782,925,718,345,821,136,309,358,347,312,570,402,309,357,058,539,561,820,447,
113,124,479,675,076,407,483,266,131,128,509,483,094,582,357,706,599,106,703,
131,407,164,451,415,512,468,708,355,881,464,270,345,552,287,453,227,224,343,
817,087,731,842,867,337,288,917,955,148,188,243,478,210,556,119,969,728,750,
021,896,206,967,504,799,021,695,932,112,842,158,922,822,050,048,058,295,354,
861,498,957,210,929,692,909,593,641,443,292,948,922,742,947,215,656,283,493,
859,509,493,089,144,693,792,510,975,661,164,950,702,703,753,468,452,099,616,
954,389,369,887,981,367,005,708,756,204,741,918,535,421,158,869,625,120,570,
755,230,194,370,595,792,478,744,476,918,964,492,124,729,968,273,151,733,467,
177,689,748,177,695,624,154,727,360,944,753,375,575,160,019,219,934,186,085,
184,450,219,301,870,542,257,919,568,675,759,686,669,803,504,331,185,766,666,
686,560,590,965,090,628,750,760,572,306,890,789,236,256,095,762,434,795,846,
524,611,349,881,062,590,968,810,419,427,982,857,058,120,933,195,894,367,593,
530,581,838,131,537,488,892,099,286,100,822,740,441,590,703,874,589,082,005,
915,436,123,872,643,059,192,199,399,937,006,768,589,366,681,987,346,791,127,
017,256,961,793,943,864,328,346,627,444,729,771,342,456,585,696,154,572,623,
972,078,032,142,146,652,173,648,700,476,844,274,295,234,048,841,796,432,623,
868,257,486,703,820,429,342,356,624,995,981,039,955,211,731,780,238,672,938,
705,959,892,145,741,359,673,809,231,010,175,794,890,256,782,890,219,201,460,
926,975,124,735,306,502,007,985,504,808,303,445,492,071,098,232,210,380,010,
259,254,461,307,247,292,602,209,558,057,063,829,685,680,274,025,226,388,538,
904,371,467,412,009,329,053,499,152,940,787,100,739,819,455,712,518,548,858,
999,415,889,529,223,442,831,556,351,645,097,518,959,293,021,382,502,260,988,
458,780,825,832,885,615,648,377,381,467,625,775,840,037,702,322,276,851,698,
980,791,458,152,335,296,792,507,443,139,976,695,696,758,371,862,194,061,825,
353,101,599,258,101,693,403,120,600,778,672,133,543,087,612,675,157,565,615,
974,215,912,067,525,805,807,318,382,868,566,974,078,399,580,929,021,805,791,
560,719,979,952,756,872,655,861,774,222,067,689,918,520,062,349,203,047,810,
569,540,505,539,551,536,496,888,170,668,855,863,746,314,220,371,449,189,832,
799,295,423,695,522,112,070,129,365,598,149,223,910,616,497,412,972,642,589,
388,852,257,446,832,021,427,333,828,327,216,431,304,357,693,650,129,636,331,
260,608,679,280,927,887,694,428,100,270,366,007,914,014,435,710,315,181,624,
186,341,833,100,118,731,342,821,017,855,261,256,404,853,827,432,777,405,086,
128,916,323,471,101,644,927,518,013,107,634,122,962,744,309,162,325,582,940,
463,509,185,606,460,575,478,000,347,514,782,793,178,932,892,075,725,168,989,
034,238,205,592,151,382,680,174,184,067,796,219,291,699,938,389,106,422,193,
490,756,050,522,475,429,500,005,736,318,771,924,782,711,391,649,438,280,137,
959,116,727,734,048,141,075,584,925,333,999,371,524,225,241,684,661,081,929,
393,395,587,558,434,091,108,451,920,137,150,828,143,029,384,273,498,927,853,
862,780,415,059,364,508,903,472,074,851,084,424,011,355,146,209,428,052,167,
726,032,061,421,360,201,778,274,769,279,005,114,377,552,220,212,893,252,503,
135,627,512,447,869,302,011,573,560,941,144,321,356,933,607,236,675,655,132,
620,764,873,661,564,944,884,020,041,674,031,999,375,705,958,160,526,391,283,
216,847,368,397,829,304,273,119,460,449,180,884,087,504,092,856,396,734,495,
640,070,963,498,049,178,780,476,161,962,027,214,238,333,045,064,905,460,003,
309,728,292,135,819,799,351,010,386,717,588,745,984,784,015,325,353,910,542,
569,208,382,423,449,521,025,457,040,403,509,402,781,521,294,085,792,260,021,
119,616,712,560,501,038,708,351,792,391,069,397,288,595,538,457,369,446,826,
439,933,701,326,611,577,877,693,602,334,322,964,883,355,755,813,957,910,526,
486,333,730,420,997,943,210,620,080,727,022,966,043,085,560,245,290,661,710,
066,516,926,047,645,802,252,729,430,880,313,762,243,846,968,268,590,709,228,
242,617,437,754,034,792,764,275,350,224,651,793,360,848,339,948,885,126,850,
676,044,218,476,660,726,104,266,266,423,165,926,014,837,917,373,918,282,336,
235,710,024,216,061,367,411,889,312,332,723,925,720,384,036,084,880,782,327,
045,989,018,011,407,455,850,190,859,734,543,412,936,890,530,079,363,762,121,
275,032,702,884,942,418,204,247,329,478,844,258,988,234,700,189,639,102,428,
958,403,198,963,122,564,027,549,339,702,706,707,957,548,034,931,704,346,937,
472,081,322,386,273,716,683,204,398,255,192,378,695,553,292,503,979,945,433,
805,626,082,306,472,218,822,751,561,110,006,524,381,074,370,647,906,376,421,
805,247,813,327,149,971,247,845,920,365,779,614,076,694,805,440,828,411,225,
391,474,918,963,783,310,319,048,742,999,839,481,967,439,170,515,356,593,691,
572,831,648,289,861,487,166,041,590,589,347,829,516,927,457,789,883,138,331,
880,830,048,788,309,768,516,527,947,636,406,577,653,524,233,489,183,435,253,
055,695,105,814,673,683,182,551,321,403,334,083,521,832,928,352,486,513,237,
623,622,158,243,179,316,530,440,372,128,694,892,175,292,579,364,358,340,208,
687,942,613,317,942,108,288,348,821,828,716,265,883,239,625,336,807,645,770,
338,868,852,401,045,154,961,035,326,551,320,059,552,506,217,254,869,375,034,
345,152,783,930,395,875,193,579,786,843,178,270,095,092,838,715,809,996,744,
582,879,180,010,572,819,336,839,042,692,360,597,384,669,950,626,763,097,000,
434,866,024,059,590,148,483,536,205,404,338,644,248,303,895,343,716,712,863,
924,723,280,529,821,285,026,756,015,975,185,909,660,835,202,218,735,377,085,
517,319,850,680,201,707,818,635,606,271,959,426,276,368,592,620,468,679,389,
807,493,992,557,371,305,004,803,923,992,501,297,370,488,091,251,565,978,228,
809,900,127,703,393,312,636,682,964,360,987,390,031,768,968,175,020,505,188,
807,662,825,826,388,021,914,241,298,755,751,062,387,080,243,577,014,216,398,
071,852,908,583,922,939,726,487,450,164,437,151,563,577,917,834,656,690,016,
732,474,496,888,146,898,993,153,740,642,529,084,009,871,573,347,709,942,541,
996,836,070,520,096,244,053,215,656,505,824,936,827,229,196,946,443,194,681,
926,354,829,166,488,267,670,356,298,668,271,982,749,809,680,764,452,343,102,
035,617,936,979,747,653,043,995,629,467,967,748,026,253,431,724,273,473,132,
948,899,572,209,777,741,504,288,552,066,173,046,977,690,795,888,488,091,880,
933,799,486,735,709,146,286,544,546,690,242,149,977,944,585,113,248,291,104,
747,052,923,115,149,608,724,894,882,319,630,672,200,207,434,513,246,090,686,
132,562,237,869,338,945,439,989,336,604,802,843,602,737,155,319,030,097,831,
846,927,543,057,586,042,662,973,224,902,283,677,595,289,386,647,415,227,898,
620,411,282,857,877,453,052,724,456,179,757,754,580,735,146,894,296,803,831,
023,591,279,188,992,774,544,913,525,154,413,844,799,739,398,718,727,958,400,
928,183,458,878,471,783,474,483,165,975,648,868,968,857,954,371,176,398,994,
123,569,064,481,215,644,752,420,865,934,488,221,651,415,899,511,633,171,009,
862,708,836,197,348,382,399,215,195,999,737,631,504,957,331,489,545,788,458,
785,802,754,016,305,762,667,471,830,038,868,964,546,523,555,701,052,065,157,
403,490,656,325,156,880,974,191,197,097,628,778,540,676,422,919,800,990,486,
182,263,125,909,071,510,156,762,571,021,066,801,754,311,305,436,086,551,409,
058,731,570,189,892,080,779,952,183,387,216,454,503,479,362,688,786,037,446,
569,311,755,017,239,579,792,960,467,031,672,481,921,850,249,034,018,072,265,
413,101,455,470,918,938,329,335,664,558,330,542,176,561,597,247,708,387,142,
201,807,272,656,606,495,918,695,979,098,732,399,712,935,481,550,023,905,330,
245,768,467,669,514,131,084,432,949,744,319,878,261,255,727,420,671,340,317,
683,095,750,974,563,775,676,171,392,024,950,028,659,932,328,089,858,266,345,
074,601,222,813,892,549,857,043,019,943,915,798,556,684,329,468,519,367,096,
689,218,226,818,120,746,726,593,573,090,668,638,152,195,858,103,927,433,652,
493,400,277,618,307,715,969,174,823,514,567,267,028,960,212,755,787,074,002,
034,840,886,215,221,619,264,495,499,592,014,625,893,301,290,189,395,832,399,
858,849,042,194,551,375,373,494,011,646,225,579,414,094,193,860,719,012,704,
542,212,781,663,230,830,704,807,237,403,668,199,934,411,618,945,341,250,161,
911,501,644,132,881,783,125,510,138,068,581,302,312,252,708,931,302,309,357,
378,837,988,959,297,726,315,784,706,502,391,885,254,452,685,757,972,355,083,
530,705,668,001,503,487,614,134,438,275,441,978,253,040,420,934,882,076,059,
889,193,749,598,838,829,620,312,185,571,249,328,848,279,535,124,596,960,098,
635,541,041,313,368,570,424,095,776,746,452,539,301,847,019,778,697,538,364,
256,253,812,119,506,042,417,565,613,192,353,268,869,359,204,959,582,628,118,
156,858,506,671,781,858,991,780,380,165,946,770,572,810,945,760,293,948,942,
964,749,937,262,436,220,433,472,375,681,632,254,459,180,870,505,170,394,715,
782,002,273,566,780,767,782,608,358,460,114,465,026,518,102,049,064,397,669,
490,544,756,445,842,306,612,907,320,769,725,123,138,288,844,831,777,827,097,
825,853,661,652,010,407,034,343,093,652,276,940,287,644,789,308,482,709,987,
268,528,589,416,480,273,039,225,301,988,876,137,358,555,632,894,450,033,321,
352,427,456,586,020,916,268,375,654,228,988,175,237,225,576,977,413,196,342,
599,760,106,876,009,534,544,409,495,829,476,996,616,270,483,615,777,031,629,
565,265,981,364,309,078,633,363,084,101,260,256,902,966,659,393,838,684,293,
203,051,876,500,571,439,923,457,278,849,488,291,654,166,808,946,861,251,054,
017,783,568,689,793,708,041,118,474,521,742,283,495,702,108,900,155,182,759,
759,802,233,825,594,931,624,057,879,914,828,328,969,309,686,638,473,283,239,
283,979,939,936,155,730,024,134,782,335,023,484,805,134,612,824,098,365,160,
346,714,298,791,569,993,189,773,056,286,626,472,500,343,584,616,058,909,564,
386,410,145,088,100,313,220,402,545,173,179,363,621,777,479,957,612,436,283,
922,835,171,498,304,201,847,506,593,841,349,194,254,030,675,968,193,845,054,
486,309,961,724,420,113,405,841,875,599,781,559,402,977,334,670,315,356,338,
301,657,606,455,006,898,952,602,834,060,303,900,635,039,838,545,235,490,045,
840,169,141,494,356,473,944,810,914,608,992,049,763,015,718,331,493,462,837,
144,327,184,227,995,605,527,902,775,703,071,313,678,490,648,809,302,361,480,
956,318,029,216,803,834,227,063,049,481,275,134,401,787,530,374,397,303,108,
729,472,008,250,036,377,991,384,525,508,964,853,976,721,785,524,987,843,372,
646,202,557,415,225,082,029,604,006,546,577,954,336,304,021,908,237,151,505,
710,883,393,283,142,966,408,929,159,668,444,464,217,234,505,327,628,816,451,
631,907,035,536,475,929,580,861,203,886,089,575,432,687,671,622,371,617,570,
420,311,682,148,918,203,983,043,209,119,431,764,966,292,496,309,702,047,330,
648,077,156,804,424,664,076,187,802,960,978,578,506,955,232,170,888,450,786,
654,121,796,120,549,795,061,997,136,264,299,235,827,568,679,214,507,729,321,
313,835,457,519,792,953,415,452,239,659,797,955,876,947,142,330,540,451,386,
305,463,526,442,630,591,556,298,784,958,269,789,505,334,201,415,670,088,977,
011,798,210,670,380,875,389,445,685,756,759,635,431,103,294,191,437,354,651,
321,675,831,751,132,395,340,480,904,342,346,198,001,365,875,256,548,162,900,
645,947,294,215,342,644,639,729,047,041,064,376,630,674,327,348,903,781,596,
087,178,672,787,316,438,869,721,038,980,245,612,155,828,230,959,882,599,761,
560,609,174,348,506,902,950,163,826,578,117,896,764,790,058,569,677,804,399,
598,072,348,086,283,690,763,756,851,877,449,975,404,748,682,558,271,137,821,
631,072,564,343,924,551,912,914,873,954,090,432,176,788,378,012,735,756,715,
307,314,962,299,135,756,157,148,316,594,879,333,590,173,806,538,735,228,299,
809,922,389,270,888,668,984,961,314,828,816,712,198,059,310,154,619,501,579,
093,168,268,682,181,264,385,158,014,447,085,737,853,747,690,498,298,410,381,
892,133,447,120,516,646,760,136,612,593,016,425,253,015,124,190,978,762,203,
667,155,890,605,915,656,906,991,780,813,695,058,658,619,632,709,535,411,661,
685,565,611,916,524,557,212,567,621,801,455,894,192,228,052,916,191,464,171,
862,306,281,142,826,170,168,923,860,483,943,390,548,705,533,098,251,881,277,
077,016,273,706,127,198,913,032,094,625,464,568,982,671,580,378,729,487,565,
253,150,946,748,358,638,340,456,373,906,276,401,573,964,248,238,943,240,098,
308,347,470,766,140,408,216,528,150,818,215,417,427,733,387,445,438,414,092,
441,725,666,602,132,806,697,626,318,742,068,256,065,590,159,185,731,053,001,
137,270,088,440,156,007,049,635,738,426,529,360,438,436,009,488,468,664,070,
483,848,757,777,376,137,211,249,735,634,206,559,253,523,960,241,868,130,563,
124,384,060,660,644,228,242,577,467,803,059,820,463,691,283,369,574,382,964,
617,680,126,020,416,244,136,913,269,483,381,890,650,541,522,742,669,912,316,
187,920,431,343,036,487,564,943,174,690,478,840,923,401,496,832,668,508,121,
345,670,142,823,860,086,990,848,104,843,937,854,640,670,378,408,690,187,492,
152,896,698,283,954,217,813,895,563,744,223,895,629,309,151,389,219,955,225,
649,862,402,880,689,662,945,725,951,391,546,620,314,691,965,062,770,987,820,
736,216,717,669,554,459,278,618,952,865,315,996,262,846,807,516,229,803,189,
893,015,352,903,279,907,038,147,471,745,870,955,886,623,603,154,391,217,184,
367,655,433,244,413,635,040,935,238,468,953,607,560,047,503,276,176,187,332,
141,079,056,293,638,330,286,235,111,633,785,209,881,101,777,048,153,344,585,
782,809,685,562,606,582,802,020,351,982,671,368,603,227,017,029,024,032,741,
683,031,697,889,425,237,629,088,495,128,184,147,629,921,777,595,262,049,376,
449,409,928,844,032,485,186,741,425,322,544,159,771,542,206,975,046,337,050,
881,111,671,665,964,668,349,463,242,032,026,437,029,814,160,306,939,957,700,
240,426,435,933,534,328,374,680,162,314,860,170,804,450,203,249,529,866,903,
424,922,634,298,163,332,513,907,099,847,032,539,319,504,966,352,905,665,017,
028,888,255,441,176,476,231,835,910,376,306,619,255,942,974,162,007,101,061,
665,882,899,115,141,739,867,187,200,810,481,861,753,377,735,509,345,558,668,
874,544,581,334,876,582,689,346,226,551,842,463,807,510,298,259,922,538,318,
163,207,805,297,303,165,330,884,889,475,422,232,624,875,353,567,974,241,116,
557,256,670,448,238,942,336,510,783,870,877,029,476,844,864,019,062,605,924,
633,602,023,082,595,111,844,062,848,953,176,980,326,959,335,404,313,815,718,
404,626,568,835,115,314,174,016,297,951,538,894,318,167,787,378,655,193,896,
976,020,093,527,768,300,895,323,405,249,033,541,812,145,043,743,450,105,282,
689,391,974,132,443,830,553,689,272,396,606,618,066,816,368,098,019,090,466,
890,084,421,869,116,845,402,756,992,849,411,683,963,975,328,789,942,397,214,
121,812,548,454,775,016,020,470,297,676,622,210,045,183,530,439,631,440,472,
894,293,631,180,855,311,963,095,841,324,296,167,773,818,049,070,677,620,555,
328,296,882,847,406,176,321,270,805,156,485,544,774,426,524,943,105,680,645,
805,144,087,286,979,888,551,983,400,141,316,715,523,789,015,590,260,373,568,
359,610,109,718,927,426,295,655,655,517,224,252,879,370,701,916,890,270,065,
597,538,703,447,870,047,548,260,897,448,600,108,968,320,712,878,371,348,487,
068,192,396,038,578,400,818,963,375,203,614,754,062,658,091,989,533,390,318,
065,539,888,963,644,897,077,378,022,359,753,731,327,411,617,222,409,526,049,
803,770,988,797,184,998,320,968,333,211,616,609,661,464,258,814,483,197,797,
119,970,606,702,283,921,694,791,659,058,820,639,625,043,226,752,107,258,098,
271,524,310,869,767,297,250,043,479,573,659,409,316,981,176,756,348,813,025,
884,228,465,918,806,714,753,151,785,968,939,659,098,063,799,544,047,167,410,
609,543,737,785,026,477,546,501,720,245,006,945,856,946,250,258,031,614,398,
988,825,118,645,845,346,778,532,771,189,848,932,254,459,022,226,581,065,620,
675,466,703,809,096,137,866,283,727,357,398,632,831,917,115,965,023,373,851,
568,509,681,798,408,238,233,001,027,025,078,641,278,021,398,442,506,238,530,
235,225,518,526,099,621,010,124,274,100,423,616,981,049,507,898,744,339,769,
594,946,323,909,158,513,719,017,031,757,437,109,806,802,641,055,576,669,795,
255,524,797,841,383,372,881,171,210,078,289,176,901,944,450,351,906,978,832,
553,638,367,974,602,860,420,322,300,811,072,901,616,267,454,547,577,696,541,
372,652,671,682,061,519,489,061,383,821,310,024,893,404,291,602,420,709,588,
788,857,431,340,970,381,421,159,851,984,621,055,511,324,858,069,270,333,274,
187,924,326,397,236,918,963,601,473,391,330,111,181,487,860,192,946,393,758,
370,068,892,962,092,934,781,982,637,347,532,820,063,099,092,538,987,240,846,
454,548,284,253,405,944,316,602,422,710,646,955,264,977,421,815,875,820,920,
781,971,763,198,330,978,385,508,262,169,713,328,183,580,917,625,183,834,315,
382,821,773,097,416,294,535,421,387,155,626,052,517,470,483,095,800,381,363,
438,580,758,498,006,529,906,300,592,524,322,023,369,375,774,176,386,297,958,
976,476,102,794,455,868,910,320,373,142,839,121,687,699,390,671,837,145,585,
290,713,070,928,420,909,683,228,455,231,085,589,525,568,268,827,186,601,089,
171,507,863,584,930,045,549,887,197,922,910,583,415,066,932,577,733,397,617,
386,552,081,322,229,494,614,020,927,807,117,294,925,444,478,847,585,767,561,
102,470,124,176,875,406,949,267,437,215,279,311,628,556,671,543,813,093,624,
764,567,476,371,822,124,242,443,637,999,628,008,457,391,538,553,784,277,804,
456,577,884,367,280,730,156,008,298,892,556,795,213,385,892,693,044,976,021,
073,275,448,239,782,147,353,162,052,289,804,541,169,651,499,849,800,347,220,
444,786,260,180,348,569,734,228,389,790,925,101,094,878,875,641,293,201,597,
379,110,045,733,090,090,919,271,969,239,751,601,314,048,496,764,227,722,588,
911,916,297,917,721,656,028,533,620,928,272,955,008,800,228,388,394,864,056,
328,197,665,999,958,725,457,329,048,497,992,169,032,214,664,831,214,028,377,
426,897,251,122,282,567,191,330,955,886,924,226,733,487,087,973,981,384,046,
632,544,291,752,727,358,602,444,396,138,306,308,362,839,855,099,709,254,263,
094,312,445,389,904,886,263,408,288,420,500,159,983,731,620,708,010,318,974,
809,435,941,297,412,341,106,694,305,128,550,614,898,137,995,265,258,270,284,
666,760,483,124,690,626,170,008,565,774,033,285,533,441,839,534,582,030,231,
935,476,785,706,662,866,244,985,166,483,325,336,146,856,905,795,303,324,083,
728,168,409,437,852,110,216,493,857,670,429,445,666,005,807,318,485,740,136,
752,073,751,711,044,750,491,220,164,062,632,546,747,577,520,640,429,709,069,
193,409,974,524,001,845,902,783,443,552,635,925,387,546,797,409,264,248,687,
578,042,402,380,306,809,445,340,836,536,237,481,240,229,384,252,492,665,383,
410,678,189,641,237,548,140,068,287,798,405,084,166,771,466,603,877,448,492,
937,794,657,922,214,016,077,311,619,048,797,115,122,341,954,981,449,571,911,
185,968,835,179,296,284,687,132,649,062,033,530,780,969,287,190,789,527,061,
010,591,185,577,458,116,291,820,376,319,484,474,698,057,642,245,232,413,014,
036,916,078,704,432,519,160,803,461,136,139,707,414,113,649,316,174,949,838,
702,307,044,668,079,113,409,806,071,252,163,808,641,824,239,734,313,520,034,
913,302,385,524,027,883,358,234,179,399,026,963,985,163,414,272,344,889,282,
102,667,362,985,482,664,342,513,024,630,080,286,098,179,411,588,816,820,308,
788,975,678,501,134,464,018,693,861,230,550,213,649,531,613,520,272,566,689,
940,358,094,732,661,433,315,338,522,593,798,917,583,313,295,663,125,835,505,
399,692,473,155,814,879,666,778,816,091,803,014,902,445,004,533,394,333,219,
889,897,942,527,651,235,900,848,900,812,327,371,487,324,383,684,902,853,425,
972,759,126,695,723,130,186,265,278,199,708,005,493,650,049,651,579,424,934,
297,560,129,414,163,323,439,449,736,055,861,074,559,929,949,371,243,789,128,
735,766,571,680,867,829,884,058,444,643,809,434,442,029,511,934,081,300,945,
219,893,636,612,699,245,093,403,595,256,915,698,725,497,241,628,730,260,922,
046,141,934,375,077,406,072,377,696,160,654,724,027,884,300,816,842,015,197,
732,780,870,025,397,771,837,076,594,729,587,291,966,753,977,245,057,877,759,
093,466,303,016,656,197,676,697,730,280,352,911,687,075,305,126,256,292,590,
960,613,689,369,849,786,904,249,999,022,282,722,202,220,529,078,405,058,968,
299,267,413,175,517,542,707,564,913,636,934,169,606,034,626,284,862,283,139,
814,963,032,354,606,229,924,341,252,290,239,245,870,951,203,096,773,946,635,
396,985,374,549,574,735,667,000,381,553,807,472,035,323,862,506,790,521,160,
945,552,308,002,316,235,832,515,003,758,476,164,588,369,940,567,501,079,681,
208,679,550,175,876,450,986,949,043,001,388,647,794,276,044,262,580,817,654,
171,941,633,009,118,701,144,211,345,396,841,911,700,386,227,131,879,631,210,
761,299,511,006,655,847,279,105,176,452,904,640,142,816,666,653,588,467,572,
164,548,946,005,799,074,661,551,587,961,799,859,959,388,716,068,550,591,926,
752,841,562,361,766,480,117,717,149,009,323,348,886,615,785,641,250,690,240,
031,743,988,892,635,090,658,153,790,755,905,728,568,805,283,239,953,239,868,
358,119,815,601,827,161,000,729,730,286,733,871,672,207,748,899,990,482,481,
178,815,845,933,981,452,795,946,575,607,597,613,617,158,656,749,294,253,063,
824,525,391,951,931,668,142,894,492,321,118,667,875,749,748,472,493,954,471,
402,950,667,530,232,046,711,986,481,780,658,028,341,919,712,306,520,456,740,
103,754,664,590,220,166,549,296,782,306,920,382,355,382,356,547,440,250,409,
466,436,772,875,801,489,077,811,127,225,818,862,338,740,862,663,842,908,381,
780,203,612,562,743,999,089,030,848,362,003,057,331,766,841,786,791,173,800,
615,499,904,871,459,674,202,681,577,865,393,495,185,785,450,624,013,370,201,
684,227,252,634,024,923,714,743,628,046,158,864,472,782,699,601,604,473,413,
186,457,070,093,739,370,317,059,267,440,051,596,770,662,321,913,728,301,168,
667,089,177,701,849,674,561,294,284,674,160,604,952,693,715,031,280,978,860,
529,052,774,772,343,711,396,285,938,705,364,015,309,925,230,066,620,341,178,
466,301,624,965,120,015,454,262,799,368,468,463,550,657,798,604,212,087,150,
915,859,282,793,181,740,983,599,920,976,213,141,452,128,063,445,918,541,699,
739,488,210,587,972,196,895,685,484,269,982,681,574,836,011,808,690,546,077,
768,110,298,388,107,681,488,015,458,813,572,857,672,522,076,460,302,791,480,
026,683,572,710,517,045,212,133,909,021,420,299,554,755,596,575,353,376,377,
301,855,349,237,784,042,444,373,370,858,852,892,267,917,766,085,019,755,616,
600,876,264,596,217,459,043,801,941,177,893,653,901,253,328,399,704,584,580,
959,706,130,767,968,134,249,465,393,981,878,477,562,795,591,714,502,499,163,
510,967,408,891,307,106,538,814,131,802,564,034,359,044,858,637,228,576,638,
670,914,083,930,779,559,599,250,765,700,234,225,729,795,146,849,560,839,789,
440,232,006,219,601,143,141,030,174,587,115,334,956,638,586,118,077,051,569,
397,639,886,309,952,637,260,035,377,082,519,138,986,898,273,314,312,275,342,
441,121,014,422,378,915,029,940,135,909,870,033,611,886,429,092,073,761,428,
057,612,034,996,103,616,063,556,779,353,403,875,473,629,693,800,276,913,834,
688,711,333,581,853,292,548,535,706,975,815,241,030,521,834,460,239,270,992,
433,231,872,185,809,666,801,675,160,986,561,967,698,384,381,126,915,139,786,
993,410,559,770,873,571,981,041,930,207,943,351,189,055,474,128,376,259,708,
989,971,300,568,518,022,184,723,507,427,250,375,084,580,568,266,184,329,531,
453,553,150,373,202,755,779,465,949,447,488,527,143,125,196,429,750,801,833,
053,846,729,892,237,754,839,913,678,387,411,546,294,648,381,444,134,707,210,
687,032,118,149,853,553,389,172,700,703,135,746,931,745,219,519,774,920,142,
409,875,538,228,825,782,237,620,751,279,632,386,607,744,750,566,832,309,911,
171,736,623,734,896,967,048,808,397,180,986,284,312,513,705,713,118,559,027,
696,901,182,304,561,972,807,725,097,760,118,778,505,830,030,378,146,893,534,
999,709,156,921,308,639,531,424,436,634,857,019,964,885,807,882,174,192,431,
047,378,545,531,178,574,421,587,808,486,476,617,840,608,167,811,460,380,644,
161,134,353,798,074,608,764,313,270,116,575,072,284,138,333,672,752,117,346,
743,252,906,241,707,069,737,523,877,539,563,612,221,993,168,120,778,118,251,
394,086,976,417,358,976,198,040,554,164,840,018,183,979,627,682,016,396,990,
993,782,368,335,753,668,217,797,466,256,803,305,737,356,971,060,920,671,850,
128,848,727,941,505,028,125,306,615,811,844,619,904,866,145,689,869,952,290,
419,083,619,707,214,160,966,294,806,832,375,099,905,840,385,494,521,650,771,
669,494,290,365,569,370,882,746,275,724,795,556,114,273,121,495,559,777,038,
089,238,033,343,597,312,843,483,573,237,410,361,906,866,314,345,988,739,985,
124,664,442,232,830,430,567,670,637,182,082,400,180,907,040,986,570,250,671,
706,803,886,934,000,784,263,478,825,991,518,207,693,329,692,877,163,218,499,
790,564,280,371,993,859,303,291,585,023,465,665,083,493,792,843,691,899,018,
001,837,412,977,543,913,814,326,224,335,238,948,988,912,291,392,156,331,306,
838,961,971,264,673,571,371,173,762,008,803,883,262,489,862,286,070,750,550,
252,990,583,687,575,390,149,672,932,640,700,258,957,355,474,998,526,971,654,
427,660,689,897,253,896,230,885,465,878,743,077,728,110,930,424,168,271,065,
092,874,664,679,016,434,015,923,158,034,893,828,201,471,362,032,774,247,299,
535,968,909,204,438,387,807,751,084,456,742,394,849,614,849,644,432,973,455,
028,524,807,836,815,378,808,979,479,225,805,675,221,785,855,198,313,984,881,
650,953,807,397,724,183,534,041,638,194,072,945,654,441,082,779,138,362,623,
357,014,037,050,966,837,628,052,532,407,249,290,828,732,153,066,241,573,672,
026,357,711,430,528,567,174,089,210,155,910,651,567,419,268,581,775,167,109,
003,694,907,390,235,150,672,289,552,247,951,097,632,889,161,096,536,453,129,
134,879,696,698,202,233,843,335,204,978,100,507,087,075,445,292,446,492,794,
726,003,707,034,048,276,869,004,598,450,457,451,958,387,166,110,664,233,993,
868,991,418,234,335,155,989,121,559,435,572,099,945,354,589,305,072,547,805,
691,427,926,551,913,806,745,908,059,308,393,092,511,192,674,480,093,443,166,
200,975,411,880,817,124,006,325,963,394,853,347,930,308,627,666,780,468,781,
035,204,621,506,718,756,867,945,233,295,726,895,825,236,759,096,918,220,182,
753,224,771,104,529,675,524,002,238,420,304,627,629,964,684,670,509,549,509,
495,864,524,940,118,286,371,937,579,517,617,951,359,893,827,053,152,800,138,
830,572,098,571,887,715,738,100,069,905,910,683,183,023,049,417,982,583,882,
893,710,001,647,856,887,452,765,039,991,224,788,902,315,554,683,550,237,647,
998,251,257,917,950,875,995,094,620,325,374,409,012,649,971,671,102,676,145,
761,359,881,675,355,450,112,227,110,184,447,193,054,930,085,749,904,394,977,
994,590,442,924,326,896,618,479,870,406,456,952,877,399,105,506,342,133,582,
581,781,484,687,204,688,901,170,910,705,146,948,017,330,447,399,807,974,379,
556,545,189,251,674,472,596,718,604,321,021,652,552,621,213,759,961,684,800,
504,596,422,096,200,180,307,206,387,286,193,936,238,244,040,698,895,409,745,
226,176,723,155,442,389,443,196,871,509,601,739,833,601,430,397,103,268,314,
576,207,875,216,943,913,906,851,850,228,075,149,039,101,878,398,596,562,625,
963,013,869,642,157,931,336,223,966,675,180,797,437,422,265,933,702,856,850,
844,653,254,949,194,874,956,947,045,870,012,692,490,993,557,307,851,238,412,
150,921,722,043,765,509,439,310,312,774,052,048,712,732,796,883,415,173,576,
737,567,111,543,206,411,574,583,865,688,117,694,817,737,743,264,075,174,195,
590,117,421,083,573,056,424,687,542,039,902,430,031,725,369,228,933,298,939,
161,557,028,338,168,129,680,839,826,290,568,487,345,338,371,930,597,116,876,
715,208,800,357,425,963,383,780,562,300,233,410,235,937,241,986,715,888,879,
970,949,313,825,846,447,426,567,729,634,866,054,950,525,457,852,142,264,547,
027,042,734,924,003,713,022,487,937,165,180,241,981,956,517,487,791,353,790,
871,923,588,663,052,712,280,775,605,534,000,775,520,796,338,487,380,588,709,
956,085,464,172,492,104,457,478,658,033,218,648,491,007,094,894,550,671,063,
321,572,180,533,368,536,639,423,112,363,466,636,511,769,067,238,535,290,372,
657,387,036,778,336,442,151,842,789,761,145,340,758,520,826,460,400,184,211,
691,719,514,997,879,046,964,324,970,321,507,735,982,692,447,428,234,163,639,
004,789,427,948,048,359,575,447,859,769,389,871,586,632,536,925,469,577,635,
856,419,481,589,176,214,368,270,067,582,735,976,885,284,867,178,219,244,281,
209,795,885,708,427,376,219,516,745,173,409,441,911,899,133,223,096,174,823,
392,571,893,302,402,345,293,641,829,545,991,279,629,825,306,866,259,047,430,
400,270,294,687,636,808,119,322,157,106,009,535,072,782,630,629,970,244,909,
130,134,939,417,620,753,772,003,491,608,039,452,718,363,121,777,703,693,831,
240,246,025,619,689,854,221,441,278,930,823,603,964,024,506,714,356,407,563,
209,715,035,410,281,536,842,249,281,190,862,746,678,119,461,218,601,898,460,
501,697,409,458,922,090,921,335,764,278,474,192,632,341,856,145,926,505,069,
609,563,402,773,423,180,027,498,543,715,616,146,312,855,283,757,767,164,009,
859,895,591,917,175,071,027,142,567,762,413,153,749,626,959,484,986,099,339,
899,656,401,622,430,047,382,314,012,809,159,146,754,260,378,245,998,843,042,
361,648,169,814,984,674,843,175,688,833,034,364,276,831,242,526,730,611,313,
673,953,987,717,006,667,260,385,144,331,504,579,212,019,161,349,137,819,096,
596,196,908,720,664,202,176,901,100,768,172,606,049,854,340,266,037,561,786,
593,351,720,778,805,718,451,416,498,826,638,237,250,000,755,568,646,741,781,
106,200,642,730,394,849,686,996,121,669,879,579,081,227,308,379,608,299,665,
791,079,712,454,701,721,011,017,259,234,669,344,564,447,587,244,424,305,519,
562,825,414,692,198,904,380,575,121,631,923,521,985,986,631,601,964,975,419,
044,254,852,060,406,886,279,756,838,273,810,804,048,595,030,910,925,848,103,
787,960,172,044,892,159,125,570,260,917,835,356,517,030,156,700,816,539,728,
537,839,276,506,985,093,998,573,806,798,358,158,122,502,411,504,986,303,287,
647,063,065,585,798,602,179,453,679,277,425,177,360,498,400,078,063,715,249,
045,145,365,069,415,947,940,298,314,585,746,483,009,933,092,920,047,196,609,
100,074,996,629,229,183,889,725,455,357,580,188,484,427,913,830,637,155,754,
933,870,981,383,003,921,083,476,378,312,230,145,847,796,269,196,387,396,332,
530,263,490,834,834,031,433,546,130,221,336,998,404,886,697,632,401,402,046,
595,298,474,054,702,421,956,272,852,409,129,616,305,891,098,781,421,577,377,
585,166,482,363,219,041,443,538,728,549,830,283,871,857,000,872,714,219,664,
565,393,348,141,225,283,365,690,504,059,183,583,387,286,414,644,287,233,121,
259,246,293,366,481,864,178,290,928,652,659,768,197,555,186,728,539,258,153,
143,398,795,191,244,204,700,033,863,474,814,878,951,704,573,512,846,840,746,
661,432,810,273,550,463,321,091,545,193,761,063,961,911,081,533,751,255,828,
657,918,994,621,644,561,772,633,802,092,087,990,349,094,635,734,137,011,586,
875,222,409,247,917,066,653,594,897,042,848,246,017,600,747,659,266,056,835,
762,489,438,821,382,999,525,248,241,178,764,273,655,441,620,796,022,661,053,
878,874,169,257,088,813,537,944,870,286,362,536,382,855,231,598,741,151,021,
726,146,606,484,261,577,936,352,057,570,095,383,860,790,059,438,812,314,836,
389,770,941,680,236,565,574,941,174,293,006,318,431,867,128,567,619,045,659,
699,721,062,361,882,093,225,587,997,234,229,805,666,849,070,750,544,182,239,
030,594,701,088,858,903,795,396,557,218,958,721,391,967,100,328,340,292,391,
906,299,430,933,961,218,642,547,299,871,138,724,133,152,225,659,886,963,834,
998,658,805,134,463,792,641,925,749,596,202,205,364,436,187,942,366,448,329,
257,284,981,195,752,131,991,323,028,629,130,229,920,842,191,358,981,554,082,
298,614,961,780,299,130,956,252,953,006,951,549,817,137,596,916,938,233,073,
474,385,221,034,314,028,560,822,696,668,417,701,816,309,016,875,489,336,831,
581,836,163,248,351,911,726,820,800,215,361,377,840,678,195,610,721,054,718,
970,474,754,477,693,391,221,804,381,489,579,245,020,863,446,441,499,714,308,
965,533,487,323,018,833,268,716,947,977,897,546,544,868,563,664,065,198,412,
219,489,904,887,037,516,587,815,508,727,427,935,517,820,287,574,378,555,582,
821,210,935,785,699,344,965,488,383,124,088,863,597,033,047,341,683,146,830,
750,771,971,467,778,004,136,300,185,479,163,643,977,030,061,641,606,871,024,
130,541,114,489,081,286,169,523,563,117,486,989,602,712,189,299,835,728,149,
880,396,927,200,055,711,159,648,923,725,718,903,587,434,583,737,236,164,383,
598,130,182,206,332,493,789,475,058,367,098,856,441,522,587,929,214,344,996,
829,851,042,755,260,817,297,532,091,286,809,057,439,242,303,405,277,709,553,
277,889,566,748,903,373,143,115,679,397,779,881,206,525,503,456,090,341,337,
068,806,930,528,143,673,113,342,119,451,798,240,749,242,224,787,192,156,587,
327,133,410,818,373,549,574,856,785,457,285,471,904,373,430,491,995,050,381,
028,171,284,856,029,622,794,573,246,268,056,438,646,227,102,092,780,888,582,
533,392,507,418,977,876,636,435,360,406,805,593,569,550,259,099,089,770,108,
409,070,339,313,639,567,138,893,197,560,201,665,163,629,874,149,630,232,974,
895,817,758,473,422,077,861,731,418,389,319,896,011,963,070,423,422,088,224,
977,835,086,909,087,311,189,004,188,939,346,148,141,204,356,609,155,617,045,
566,604,729,323,096,128,446,362,185,527,667,252,607,005,663,883,678,974,990,
373,853,383,721,006,205,604,246,159,023,095,261,268,763,321,196,196,129,812,
914,410,629,817,518,323,020,954,597,472,875,117,765,512,037,330,650,383,577,
786,823,719,182,821,956,460,910,587,892,561,722,166,828,401,667,086,173,033,
913,975,915,195,558,311,724,720,889,286,044,746,427,113,255,672,543,563,163,
868,531,632,765,406,098,926,347,407,103,673,732,307,063,098,095,457,973,032,
513,807,905,603,770,561,070,570,326,511,226,712,413,190,119,655,563,232,340,
605,617,644,408,642,671,836,831,432,906,821,732,174,288,421,495,359,596,218,
891,940,028,945,401,336,806,093,535,471,760,487,409,189,541,440,264,465,079,
770,418,565,725,741,376,367,867,817,161,304,994,449,905,646,789,402,391,262,
136,246,365,430,270,431,275,777,513,532,071,411,208,481,672,778,242,059,441,
835,841,395,875,747,639,871,429,982,610,741,983,426,460,539,498,579,881,981,
828,121,539,602,113,056,797,034,840,045,711,771,879,469,093,938,334,073,951,
682,616,489,164,067,274,286,441,545,194,661,989,450,446,282,441,647,105,350,
943,054,988,527,964,739,386,078,038,675,923,437,984,675,172,296,536,181,607,
961,228,354,419,523,411,070,487,899,211,288,004,337,804,047,702,004,233,859,
664,189,350,805,626,125,971,895,051,245,576,772,533,567,766,943,817,351,545,
747,452,132,805,193,591,210,479,369,282,186,200,985,271,162,219,289,484,554,
599,778,979,190,633,909,032,170,511,910,364,098,999,704,060,452,576,496,813,
197,755,463,508,234,830,416,905,103,103,167,638,865,380,437,371,519,351,034,
797,143,778,180,571,595,668,993,139,752,228,022,220,349,738,470,942,312,901,
451,635,948,007,429,618,195,694,440,521,433,888,393,269,341,668,573,169,949,
318,450,924,267,435,945,084,627,483,121,766,726,454,449,510,451,031,414,684,
034,865,289,786,471,893,989,193,719,945,843,182,430,421,320,122,842,324,065,
313,224,835,542,699,776,230,600,709,673,946,668,930,793,018,700,177,667,579,
666,103,046,873,208,866,210,289,503,873,558,200,441,576,551,396,991,106,940,
419,352,982,855,113,217,875,842,803,862,791,822,348,065,673,276,292,006,160,
158,503,377,661,107,331,225,305,606,486,862,864,558,073,416,074,324,845,071,
149,788,766,435,299,744,191,873,929,993,476,569,965,392,219,422,277,557,376,
550,870,360,617,056,360,648,381,155,863,154,733,737,304,757,932,220,833,013,
992,060,030,906,951,932,908,010,172,141,033,203,852,434,084,714,801,868,362,
630,113,910,164,857,831,477,228,822,028,159,664,468,958,625,899,434,615,070,
933,381,224,237,597,838,905,487,714,571,687,294,392,361,278,389,003,584,053,
433,581,466,506,213,539,136,467,262,776,350,199,333,884,219,983,822,578,657,
636,980,105,132,073,905,370,326,393,644,534,102,230,963,527,250,112,410,163,
712,922,157,078,637,846,067,147,414,809,108,803,219,913,469,333,096,623,488,
931,581,672,670,189,225,123,711,982,052,847,088,171,456,914,797,932,966,339,
520,295,168,069,854,826,998,084,034,136,494,719,437,608,424,675,527,878,579,
087,820,260,216,972,505,679,406,135,887,723,412,514,309,969,329,295,976,893,
390,547,849,725,669,160,252,292,509,119,158,177,797,359,100,569,655,248,481,
713,728,062,310,291,168,052,054,603,226,038,494,050,230,378,491,101,232,268,
211,398,508,714,206,321,247,146,802,024,306,841,942,594,192,304,858,727,161,
468,199,820,402,986,835,507,000,154,467,425,313,231,383,851,968,283,636,432,
497,414,720,478,336,875,234,174,199,398,440,846,771,614,286,579,466,819,158,
245,759,187,156,337,991,953,108,189,297,249,289,184,762,996,452,099,713,298,
868,698,588,208,326,497,716,382,640,214,429,296,225,230,013,180,452,205,917,
535,691,809,862,583,324,024,088,942,943,038,299,512,043,955,007,237,682,360,
998,161,808,712,270,827,276,896,667,408,301,377,922,881,799,251,438,403,740,
917,264,448,968,003,226,420,383,613,594,982,830,595,007,779,329,932,344,274,
412,457,622,899,797,522,868,814,722,462,673,176,492,519,556,497,923,251,472,
590,793,612,676,929,252,434,667,978,211,510,169,032,488,725,019,114,409,800,
439,104,545,589,992,461,681,772,055,217,020,802,046,407,522,720,871,571,173,
442,654,475,573,745,926,768,613,382,832,416,991,212,567,832,439,739,510,935,
497,987,064,849,986,882,800,491,063,845,987,745,319,285,165,425,248,799,519,
050,014,154,345,689,290,562,523,451,646,212,898,118,177,244,990,804,204,024,
606,261,337,714,645,932,425,872,582,914,936,839,192,682,365,312,253,919,885,
113,662,473,999,079,164,934,895,782,903,871,435,509,603,494,934,662,452,415,
283,265,277,523,118,549,110,866,719,207,364,264,963,735,993,230,433,459,816,
624,818,305,403,052,768,289,890,938,517,575,357,647,156,716,628,451,912,148,
200,278,409,296,008,765,961,113,029,287,953,497,792,502,021,349,920,268,339,
828,190,058,255,556,406,608,726,886,958,867,185,572,930,434,517,215,075,865,
136,535,116,222,317,881,218,993,876,835,854,004,591,293,195,329,893,597,768,
155,727,567,330,764,258,523,346,262,726,216,839,678,253,409,498,489,599,399,
669,426,080,376,080,404,221,141,762,112,736,490,486,781,367,756,533,964,275,
037,948,418,752,502,426,774,509,026,731,444,689,638,620,487,500,781,720,606,
952,783,025,118,660,855,616,746,722,586,917,392,819,188,668,675,395,330,154,
478,100,192,151,545,398,545,728,495,289,683,052,506,287,063,614,836,524,981,
877,016,268,684,649,612,806,761,460,351,515,186,161,182,142,103,300,366,427,
804,551,301,006,536,071,297,983,312,392,353,925,361,126,884,714,778,449,375,
709,304,421,499,822,728,843,265,482,315,989,495,035,367,111,897,269,587,524,
751,533,356,041,991,663,374,342,787,504,539,545,879,643,794,318,722,490,099,
912,273,194,381,446,841,206,102,385,989,593,221,948,499,151,479,689,965,784,
231,340,354,419,142,680,864,670,342,943,634,562,189,677,294,951,779,231,828,
350,140,673,926,827,110,904,615,449,030,535,468,796,409,540,523,915,520,444,
073,633,082,749,620,492,720,454,938,734,817,611,893,939,819,797,109,494,622,
973,275,559,576,610,495,568,128,386,941,941,135,717,782,930,531,046,454,370,
570,123,287,899,327,827,107,956,621,073,473,339,813,258,649,136,000,282,248,
570,644,017,707,317,949,514,361,057,026,966,704,825,805,298,794,610,786,210,
240,494,175,575,967,679,653,896,463,482,139,503,846,849,642,769,609,738,826,
370,865,042,909,970,490,085,314,273,644,243,652,860,680,002,489,079,343,516,
408,827,430,189,677,762,875,452,594,472,517,857,124,860,913,745,879,575,130,
583,932,668,059,672,833,145,110,016,614,947,341,252,433,500,763,310,902,473,
142,771,043,701,898,476,193,629,563,899,043,317,328,525,846,755,108,658,865,
130,706,046,537,481,693,576,793,578,703,953,483,311,135,756,010,112,608,185,
080,057,008,199,160,450,947,235,957,717,619,276,627,755,719,465,908,383,536,
711,267,491,838,040,027,236,579,018,128,870,530,490,403,860,783,061,989,128,
331,631,237,624,699,352,391,091,002,111,304,856,722,625,460,534,353,101,058,
329,930,548,890,945,837,487,618,362,436,433,517,094,935,415,087,703,309,477,
449,579,780,796,405,638,211,614,200,930,037,794,931,698,317,506,200,025,759,
041,211,646,038,957,043,450,330,386,083,617,678,851,352,302,586,503,309,084,
441,252,789,576,908,956,972,423,158,546,676,208,491,466,577,648,171,277,415,
171,338,274,554,671,846,745,135,036,605,189,243,713,401,316,851,649,190,239,
707,093,934,678,378,073,308,702,790,324,312,568,208,297,737,971,509,627,545,
914,210,698,568,423,830,953,876,045,729,948,446,361,611,696,093,890,231,997,
787,658,240,390,722,670,448,155,140,712,382,364,325,264,975,981,523,302,649,
694,440,478,119,396,804,198,247,111,574,419,827,064,392,386,879,487,305,414,
498,037,855,252,923,225,941,154,670,964,930,143,643,285,725,629,266,032,345,
024,480,459,170,603,006,937,152,787,530,925,230,336,457,411,707,757,120,688,
309,549,788,189,239,625,037,665,338,120,413,763,396,103,424,548,440,779,634,
632,654,987,417,116,428,243,747,998,705,937,608,608,243,149,814,720,298,900,
192,676,876,145,307,879,090,394,502,576,043,128,203,818,289,022,098,683,615,
155,760,734,461,515,418,305,903,334,522,846,371,377,424,874,444,762,454,904,
718,765,681,213,902,805,574,437,868,181,818,217,753,446,723,293,100,077,537,
212,495,876,412,418,130,347,573,058,580,284,674,573,680,375,588,039,025,992,
553,095,531,976,173,709,147,001,696,840,498,320,163,688,645,235,643,877,966,
563,925,900,502,763,710,516,941,162,019,727,202,057,630,231,027,362,701,441,
468,056,534,451,438,817,180,841,387,251,989,755,463,501,299,411,775,689,180,
127,848,001,926,474,538,811,383,262,843,298,663,810,795,610,518,406,128,072,
843,061,216,076,910,253,630,003,531,755,125,559,464,569,658,212,368,811,779,
631,341,029,057,355,844,694,502,097,394,643,349,861,293,436,589,441,518,133,
656,680,643,489,804,774,434,345,834,284,279,084,677,495,280,275,337,412,496,
012,062,319,992,929,520,617,183,188,084,557,948,308,748,847,304,397,099,081,
111,430,019,028,307,477,599,030,838,510,253,864,198,469,904,747,813,922,481,
264,961,226,848,910,102,345,470,238,556,579,048,264,971,663,174,207,266,063,
313,792,117,491,829,703,873,205,089,616,772,285,719,051,594,384,554,936,036,
731,441,251,675,495,023,321,819,895,979,387,734,839,192,059,211,769,477,651,
351,169,863,070,163,783,486,546,592,383,290,579,296,923,842,652,168,997,228,
513,019,135,964,731,619,955,883,694,551,571,292,605,990,005,997,767,292,930,
263,348,747,855,724,974,187,323,685,740,297,378,075,185,263,923,534,757,726,
777,669,549,619,319,741,144,819,524,056,887,435,875,376,922,886,222,866,215,
936,045,703,957,959,368,530,777,400,445,313,385,348,184,371,712,393,057,792,
198,173,036,496,385,309,469,990,351,156,060,151,471,341,518,320,043,403,339,
268,182,046,739,372,866,308,312,174,966,808,818,058,920,003,362,875,610,349,
510,931,520,764,189,489,784,451,398,107,194,123,563,127,899,925,436,840,556,
144,183,832,068,454,155,891,976,860,371,025,286,583,474,900,581,692,027,661,
838,063,346,078,776,345,470,081,926,640,178,987,923,616,355,732,070,958,898,
343,073,600,927,236,460,758,131,327,889,829,302,788,931,578,165,936,700,430,
131,903,086,988,626,815,215,228,674,254,283,377,662,621,746,175,696,252,152,
008,328,390,996,880,808,160,301,141,353,429,534,623,758,433,900,780,441,561,
280,946,551,214,771,097,301,581,266,988,995,609,715,610,204,814,093,776,653,
871,482,602,895,823,029,955,914,540,413,911,437,556,520,755,593,377,614,420,
551,477,054,528,879,888,616,585,013,422,304,377,922,922,856,254,970,706,766,
066,805,003,647,203,053,210,087,879,432,214,830,663,752,528,786,824,070,683,
931,432,201,291,997,877,353,179,976,262,721,766,049,881,183,124,201,651,857,
698,538,387,180,967,661,379,831,412,440,773,950,856,439,696,924,547,597,335,
553,970,521,754,578,142,614,401,550,535,330,810,774,710,836,748,411,526,108,
096,365,314,129,327,049,211,549,121,108,925,561,453,292,642,013,191,296,615,
586,718,813,662,074,885,367,902,497,775,996,663,163,794,087,902,368,217,239,
984,541,666,271,495,950,206,007,960,730,333,680,110,533,101,408,487,449,090,
175,234,962,489,970,035,886,447,764,099,393,688,758,762,812,987,816,175,295,
029,064,575,630,035,459,641,603,451,673,209,373,616,167,487,299,395,435,264,
391,189,832,595,384,492,755,496,921,092,037,653,127,491,735,092,338,011,878,
038,578,208,157,828,733,857,782,419,378,275,585,045,128,848,255,031,656,775,
160,470,530,436,531,171,706,820,533,811,043,468,312,584,977,933,733,281,466,
307,563,925,321,685,825,812,438,416,967,225,643,670,616,087,642,319,333,108,
035,751,432,822,138,820,655,957,130,050,688,847,150,158,773,979,543,630,980,
248,321,433,319,949,439,185,320,376,699,293,188,491,793,304,365,582,762,582,
488,120,782,416,304,134,505,891,394,175,049,221,382,202,053,983,110,419,765,
913,437,623,438,274,082,561,732,945,499,666,636,077,448,537,486,730,094,490,
904,028,883,031,461,379,712,125,512,209,946,156,797,402,218,822,809,314,152,
385,607,770,564,373,623,288,014,589,956,706,242,576,002,354,613,595,274,769,
687,916,871,852,891,587,260,346,195,235,789,815,949,367,590,427,651,473,666,
291,372,393,777,161,741,734,315,460,425,535,583,163,494,484,575,375,695,098,
949,183,621,582,881,961,631,505,118,250,929,989,154,556,266,227,221,791,307,
844,534,839,739,151,576,468,975,833,550,952,978,801,432,998,244,336,536,189,
356,470,597,487,552,822,981,514,513,050,480,084,130,734,918,497,187,438,086,
950,761,544,454,361,626,460,645,225,597,117,411,100,364,048,938,866,506,589,
199,912,315,097,364,293,978,516,949,204,447,484,920,995,644,676,840,376,863,
037,347,619,154,512,632,483,945,696,931,401,790,740,879,544,275,236,235,821,
884,904,793,578,043,454,499,152,536,911,140,719,157,538,056,828,506,991,868,
129,758,867,011,849,285,851,829,453,068,782,064,273,748,328,753,509,181,676,
823,633,656,295,480,145,668,259,262,305,654,444,246,871,594,937,664,497,626,
673,422,350,307,617,314,817,294,979,574,552,591,961,007,298,688,088,617,075,
559,240,486,573,910,890,958,269,256,129,267,920,969,136,927,081,585,133,826,
121,756,185,934,222,287,728,224,023,341,429,771,022,334,678,802,560,451,661,
003,463,129,789,122,720,720,880,683,599,566,975,457,663,000,118,838,160,859,
920,349,896,420,116,266,565,829,020,615,818,964,600,184,183,199,202,132,261,
946,349,303,805,667,369,034,729,598,175,110,221,365,018,760,961,344,788,644,
668,860,974,400,458,738,193,381,895,065,050,602,933,158,344,753,220,601,642,
995,758,368,120,702,783,644,437,158,743,082,595,771,122,675,772,389,726,578,
438,265,747,245,367,928,071,962,910,298,639,298,425,484,255,081,597,985,584,
089,463,406,915,299,764,766,648,498,202,614,055,758,412,699,225,912,627,351,
916,712,048,286,979,798,380,144,915,526,664,976,357,833,722,146,535,353,853,
979,797,434,124,404,375,446,333,547,890,562,225,287,758,985,763,067,105,593,
065,246,117,157,399,020,735,009,474,029,989,094,906,956,183,019,639,283,763,
285,994,999,717,732,090,579,486,358,718,206,627,308,674,045,286,229,938,843,
458,701,887,511,618,633,730,220,793,719,130,641,063,881,243,558,832,642,037,
635,024,408,629,225,141,764,955,639,107,042,928,043,949,511,222,017,659,637,
569,631,781,948,542,312,387,855,544,727,998,205,290,476,236,066,728,312,105,
386,167,692,186,705,076,578,856,124,937,429,339,078,150,761,403,930,704,896,
251,271,416,777,236,388,963,759,118,131,064,386,914,974,874,338,253,321,194,
113,186,007,481,419,896,870,208,108,335,131,604,332,549,639,458,482,747,692,
584,380,866,758,001,684,317,510,012,163,261,695,292,348,399,979,331,587,306,
348,381,045,456,888,554,128,817,697,894,773,918,488,457,748,022,690,510,792,
060,394,016,422,810,027,912,409,711,789,736,756,059,870,682,372,538,148,343,
325,488,655,124,799,100,622,804,441,446,565,034,030,210,305,295,452,337,546,
123,170,045,480,371,133,762,360,417,275,012,771,418,421,073,167,753,457,200,
914,819,640,855,027,833,790,760,081,568,108,332,176,523,910,442,121,149,228,
536,714,229,927,620,792,621,953,778,509,689,520,303,147,366,010,841,490,164,
860,943,045,415,873,640,474,202,507,083,336,323,746,991,065,920,012,925,664,
469,099,974,887,653,145,130,376,933,853,835,685,055,207,902,858,707,627,752,
993,567,598,422,746,399,033,084,268,497,358,136,957,746,614,655,169,281,201,
263,669,915,294,453,096,796,289,030,833,698,491,870,522,330,445,687,719,806,
550,387,773,591,625,245,402,860,996,179,684,515,979,174,518,412,822,459,733,
876,755,624,476,667,598,568,770,515,073,300,053,273,642,708,311,726,341,062,
717,377,754,617,147,390,685,472,300,970,645,799,503,234,332,373,614,268,194,
336,090,239,892,712,200,401,123,413,962,777,961,704,886,940,752,341,833,195,
875,608,770,288,463,984,552,104,922,468,747,740,543,811,454,454,742,233,508,
583,255,949,793,721,435,316,204,599,826,639,132,240,506,135,342,648,846,448,
405,490,107,332,546,061,283,333,087,628,113,878,128,984,552,445,454,664,295,
990,453,422,285,382,207,147,364,206,479,943,703,872,340,709,383,984,468,357,
762,855,930,990,761,541,078,725,576,535,008,166,798,225,959,416,158,328,452,
599,450,169,074,594,667,461,434,310,874,474,484,168,528,575,652,227,267,630,
370,605,185,659,347,695,770,831,674,960,204,223,407,591,311,237,694,895,026,
863,992,482,530,268,276,232,965,374,466,380,999,991,291,969,138,430,677,810,
903,742,386,283,347,830,508,278,959,812,914,325,544,603,372,170,252,919,893,
077,778,454,659,377,391,805,545,784,318,687,696,450,094,774,950,929,592,747,
563,794,971,141,249,417,034,048,198,320,652,259,482,430,009,747,967,810,833,
667,438,353,448,635,794,918,763,003,535,493,906,416,765,629,080,745,303,082,
685,001,670,577,361,267,630,225,864,963,528,974,346,541,388,092,024,866,488,
200,510,517,283,381,681,926,888,990,511,718,661,260,096,174,294,475,261,039,
523,737,742,932,376,309,108,472,196,616,618,976,597,902,732,930,329,813,759,
835,924,634,790,629,509,387,269,317,477,919,328,857,961,884,985,174,227,883,
517,091,850,997,015,938,228,516,678,754,071,302,427,226,904,282,482,416,070,
837,793,444,311,006,984,707,680,994,172,392,444,997,347,092,779,341,365,438,
886,504,578,326,465,709,190,421,574,417,907,168,432,127,067,238,898,514,360,
627,050,227,775,706,993,535,826,382,642,410,990,808,425,383,067,752,295,900,
296,005,090,727,728,576,435,482,716,738,883,149,501,468,695,724,430,008,033,
947,043,230,113,339,378,837,809,937,610,639,291,422,501,030,436,080,042,200,
197,481,536,514,030,473,420,022,910,026,154,127,357,245,426,601,702,714,091,
253,373,077,389,150,469,587,930,657,959,583,560,981,139,572,906,258,941,940,
979,044,260,411,387,265,217,575,667,987,789,678,395,507,434,998,313,791,909,
375,063,268,539,806,514,813,854,595,779,330,221,317,804,046,225,917,148,043,
936,788,982,482,185,043,305,956,974,342,033,100,383,065,782,708,688,737,280,
357,401,313,869,542,646,590,719,833,805,104,077,904,749,501,960,154,609,240,
536,364,771,479,914,364,721,442,582,129,250,265,250,911,488,631,261,680,502,
785,465,928,795,051,238,140,159,421,047,318,894,370,674,572,784,970,385,427,
010,996,031,091,801,958,846,674,615,732,626,376,475,555,967,284,679,546,550,
200,646,532,392,916,421,564,077,106,946,416,310,896,407,508,487,784,901,329,
073,834,882,169,798,845,837,640,315,825,073,351,159,962,051,205,699,903,016,
231,068,384,558,960,469,900,411,256,716,170,256,615,933,276,125,402,533,473,
032,049,995,580,342,942,035,790,812,247,031,746,349,758,632,729,726,307,285,
403,261,922,436,082,064,663,060,458,393,854,647,936,439,075,463,077,504,818,
722,538,581,176,947,437,611,971,613,131,699,634,405,573,669,400,445,510,608,
269,221,331,053,055,720,626,073,043,258,865,811,934,886,909,477,969,353,692,
489,987,729,571,155,094,335,576,301,650,242,513,314,753,099,109,157,707,377,
357,303,435,416,929,560,096,416,858,442,769,754,695,823,157,865,960,933,678,
422,799,450,742,491,443,671,039,667,284,217,718,328,373,596,909,831,650,477,
191,876,192,698,988,814,173,532,503,168,222,103,972,385,178,174,298,077,088,
506,986,350,149,908,668,573,354,138,764,614,435,829,571,111,654,105,122,829,
282,602,400,849,319,060,342,963,835,890,003,360,437,732,419,549,522,660,770,
654,957,888,471,354,882,650,921,588,706,179,953,369,895,470,008,243,902,449,
596,449,261,888,961,407,647,611,989,449,430,209,972,763,270,439,712,794,065,
174,304,811,543,579,385,187,720,920,645,385,257,148,704,511,424,491,718,466,
892,278,650,777,315,223,445,559,111,341,122,838,517,564,646,607,819,470,261,
670,346,503,658,695,272,408,372,163,472,209,172,807,340,180,516,651,239,684,
522,694,394,397,621,189,705,650,246,062,459,980,211,211,852,781,079,851,111,
117,702,337,703,828,853,519,670,408,381,099,249,929,961,510,804,994,935,446,
321,305,876,735,416,056,376,189,590,506,146,869,355,774,776,274,894,981,466,
299,532,945,816,236,822,898,119,011,061,904,144,862,447,453,163,469,577,978,
111,011,951,151,200,174,695,602,011,763,865,538,896,774,813,849,052,655,562,
065,847,763,562,436,456,388,461,966,434,779,423,527,313,406,993,376,310,631,
044,631,439,255,375,989,725,747,674,148,144,162,641,821,073,114,797,978,695,
855,356,509,924,026,288,093,355,374,253,955,466,316,616,541,079,767,445,453,
721,126,654,721,669,510,104,838,763,476,628,437,883,407,451,305,409,536,850,
284,589,261,440,975,851,875,835,372,824,065,781,629,803,915,011,259,886,538,
585,049,435,468,524,565,305,368,262,524,929,186,544,090,826,003,283,887,453,
923,722,864,546,519,241,752,490,366,330,611,423,952,060,418,217,074,697,967,
655,238,387,844,633,397,842,378,096,170,045,187,384,852,047,800,892,624,299,
622,844,217,068,856,619,707,732,111,240,213,255,368,627,033,105,773,813,249,
407,686,896,251,341,309,093,383,648,088,434,292,213,261,073,012,067,074,670,
498,928,032,049,571,510,166,399,983,838,760,850,456,282,487,939,143,772,366,
364,907,447,655,129,426,219,758,245,159,458,268,405,245,234,011,353,191,165,
784,515,596,615,974,547,369,502,089,798,892,881,401,721,428,095,480,346,620,
368,849,471,508,521,621,344,391,560,764,677,925,251,872,181,970,013,713,860,
261,138,169,229,881,929,797,314,760,961,791,377,489,941,169,758,607,905,411,
176,280,727,295,063,794,304,716,998,422,203,500,445,541,522,930,161,318,895,
809,539,127,236,739,399,492,951,575,231,055,926,805,985,784,912,150,975,028,
254,778,757,876,908,259,032,339,279,198,664,201,282,790,950,875,647,292,692,
953,096,882,209,320,825,547,356,360,911,633,506,972,608,585,809,142,164,993,
140,803,503,995,455,786,413,344,407,881,683,863,066,126,702,460,322,957,368,
964,915,786,238,350,974,180,761,920,436,807,455,460,110,144,318,060,290,593,
931,924,517,681,187,608,202,214,120,754,719,252,367,360,124,810,897,643,777,
232,833,078,612,590,828,392,031,246,392,186,146,348,924,925,196,853,197,506,
677,189,371,594,000,803,679,620,894,301,635,525,821,516,541,476,074,872,977,
780,968,425,337,464,654,603,857,041,897,130,042,137,563,593,116,558,401,745,
226,238,996,433,185,322,082,587,550,463,821,390,480,599,188,857,590,307,896,
891,329,804,862,264,173,564,760,602,631,548,285,671,899,748,914,130,966,119,
229,159,223,411,805,411,533,435,089,958,239,534,965,715,859,924,702,585,853,
609,573,834,110,310,953,858,975,390,382,536,950,704,511,629,986,596,772,371,
485,797,472,794,878,793,333,391,895,609,254,487,739,687,356,198,301,785,443,
399,109,744,208,383,258,304,504,490,914,436,362,840,564,466,005,529,769,363,
250,238,604,994,830,130,145,821,647,126,164,669,530,850,918,729,443,270,896,
737,895,963,532,745,430,410,139,100,223,337,061,705,530,794,694,002,850,249,
144,804,325,594,727,320,910,782,240,104,285,905,442,526,494,516,685,996,816,
648,334,748,759,457,566,685,169,876,059,616,807,718,159,761,172,105,581,133,
358,190,419,520,297,428,544,709,055,523,720,315,679,911,637,598,276,365,441,
723,463,140,735,795,824,818,569,403,665,547,117,479,282,536,879,555,571,314,
987,047,063,427,303,647,910,146,545,861,270,372,985,903,733,773,509,707,714,
956,487,489,741,136,827,356,669,346,853,160,261,091,071,368,480,306,798,005,
383,399,067,129,459,543,047,209,759,651,747,127,245,419,710,459,645,912,168,
716,422,577,622,335,910,226,707,161,653,998,627,918,788,380,831,997,048,679,
235,144,458,636,343,925,008,068,934,650,362,502,520,390,460,604,187,541,239,
417,015,576,994,228,775,832,580,262,284,743,249,246,974,553,421,297,249,119,
021,367,012,730,453,902,318,805,012,266,048,755,838,611,223,347,346,656,149,
600,192,608,116,276,906,344,850,524,932,695,071,634,775,845,910,806,870,872,
386,722,008,813,738,787,022,138,525,834,542,173,885,538,204,896,192,967,101,
275,007,055,762,173,411,436,827,146,293,348,833,592,958,834,630,124,450,539,
321,022,653,595,029,100,534,689,535,118,054,734,157,445,107,841,708,083,098,
156,315,244,967,735,461,964,717,026,600,815,313,777,499,371,761,969,346,927,
962,030,275,532,739,555,725,165,263,769,995,879,633,563,652,938,394,745,500,
386,480,601,148,519,246,698,866,210,680,279,788,207,040,683,209,798,779,104,
487,399,312,589,351,453,318,522,624,669,977,281,940,652,374,879,763,670,845,
337,445,229,401,624,698,802,155,838,735,012,704,393,580,372,780,622,644,526,
579,304,161,249,690,585,761,642,001,014,782,999,084,984,666,039,513,040,995,
266,501,063,609,261,942,337,670,014,078,098,301,313,518,792,637,045,498,100,
967,703,832,791,700,929,387,189,523,709,144,889,518,619,936,151,245,348,689,
383,746,074,160,988,295,565,615,098,716,955,524,019,599,411,223,338,255,531,
338,624,018,021,260,508,047,554,679,290,127,442,737,977,044,601,783,037,033,
369,249,524,634,526,070,821,151,041,183,997,669,494,519,141,419,931,897,808,
239,796,799,479,498,625,018,257,810,675,830,852,595,567,704,882,317,494,919,
172,771,659,177,988,545,806,815,401,576,424,233,022,738,641,966,115,334,079,
996,521,928,277,996,950,421,420,667,443,168,151,599,310,876,206,312,592,326,
248,630,318,573,805,838,952,224,655,376,268,807,971,979,596,302,481,009,798,
253,049,975,972,967,997,854,179,869,317,993,915,298,369,819,565,429,796,168,
181,782,921,623,599,551,639,604,015,401,700,033,239,558,262,300,035,713,736,
225,728,161,179,914,858,854,232,537,126,411,978,227,716,159,933,581,708,633,
417,259,774,915,873,200,865,829,487,045,512,310,764,669,272,448,031,584,239,
844,998,661,885,674,715,165,921,159,413,526,795,398,680,467,627,493,115,762,
297,989,890,941,082,544,529,607,276,225,078,975,851,639,080,974,265,591,693,
941,015,727,517,121,493,665,916,395,021,821,259,018,204,729,323,216,402,771,
564,215,457,030,009,857,844,740,988,651,320,538,211,345,610,378,891,935,739,
686,569,250,857,610,646,749,857,177,182,646,590,982,214,344,637,977,614,897,
313,227,002,314,212,516,256,606,100,881,844,539,403,110,091,850,626,937,651,
856,611,262,927,493,540,899,847,107,469,552,411,729,439,037,010,912,174,940,
323,680,067,170,601,107,762,787,168,195,493,653,504,625,958,729,094,013,022,
393,785,930,772,642,391,646,525,047,803,051,598,924,417,689,510,931,672,986,
735,561,119,619,166,576,298,452,746,431,348,484,735,888,225,142,995,061,106,
507,168,123,766,984,290,013,504,220,405,626,703,877,926,875,573,668,566,958,
847,053,349,535,934,175,631,679,295,503,922,894,773,360,283,460,779,719,445,
366,640,685,882,834,134,163,333,530,819,558,661,048,532,195,685,486,284,956,
825,491,808,358,832,975,287,502,060,145,675,150,239,094,165,067,390,894,967,
572,615,008,410,850,753,813,510,851,821,968,630,585,179,500,828,508,739,873,
589,049,637,114,061,074,744,895,201,337,381,280,755,448,218,038,597,005,665,
772,553,086,455,811,069,958,333,781,690,007,146,757,870,511,772,724,619,214,
777,716,570,770,707,956,526,769,563,242,004,005,639,459,858,491,515,163,283,
904,723,436,611,125,414,827,270,400,489,385,554,909,535,440,017,876,118,290,
763,720,207,748,388,966,058,745,706,195,274,628,109,953,640,913,977,556,964,
753,122,820,171,269,100,846,516,190,951,599,361,324,054,660,016,649,108,473,
734,026,875,343,006,067,584,077,783,504,733,940,976,371,893,779,674,008,754,
176,372,907,620,895,537,971,880,363,563,532,663,114,486,699,654,602,533,704,
290,570,959,319,935,659,980,457,698,534,574,624,235,326,144,886,081,825,557,
132,161,752,976,980,558,314,579,230,924,941,212,545,434,740,807,248,142,562,
788,746,954,752,397,885,461,304,252,529,540,365,827,299,329,875,892,573,778,
104,363,569,636,125,297,641,924,918,410,552,077,354,339,715,323,366,887,115,
254,376,373,379,672,324,463,837,689,141,054,261,368,275,225,982,594,279,187,
673,871,261,607,056,574,480,363,707,975,073,749,612,657,765,828,620,842,033,
581,024,565,968,884,539,553,093,787,900,246,594,271,322,379,701,189,119,348,
053,975,153,700,369,571,849,198,096,494,798,899,353,337,223,259,180,677,426,
400,832,377,930,168,556,710,680,742,562,814,093,970,215,174,316,826,980,622,
428,650,842,806,759,683,606,369,062,746,676,836,010,128,396,328,025,199,654,
017,841,679,960,711,843,508,050,756,114,496,297,426,509,987,569,012,415,541,
106,982,909,061,931,191,066,696,027,206,095,372,245,061,110,620,366,338,852,
657,430,267,837,127,857,402,004,506,058,005,819,169,868,316,081,445,410,902,
549,027,520,337,010,918,384,989,797,877,503,951,534,243,237,759,804,270,671,
631,139,271,092,927,826,266,189,027,903,547,636,291,111,928,953,550,350,912,
250,174,054,848,414,750,055,574,784,462,355,403,865,289,805,731,593,394,907,
981,766,588,282,544,946,285,654,121,415,893,949,908,468,736,390,103,838,741,
446,112,267,326,479,272,020,230,097,178,314,440,487,764,890,887,378,500,838,
493,683,811,517,436,436,867,616,451,682,731,551,354,055,686,842,197,340,846,
454,946,655,715,066,030,660,593,178,655,471,070,724,860,004,297,498,951,504,
509,569,073,458,645,326,221,549,009,664,904,979,148,166,870,139,479,181,541,
732,932,095,711,840,498,916,874,532,421,865,161,108,442,362,372,446,805,396,
453,151,033,151,433,747,008,294,734,302,467,177,233,210,803,170,167,795,188,
299,561,957,243,123,688,756,129,775,310,422,916,034,822,920,972,486,435,046,
643,889,099,284,310,072,507,632,049,570,005,592,219,794,050,601,698,866,637,
740,492,013,240,186,416,213,449,376,549,213,001,237,662,412,353,738,150,056,
829,593,849,356,543,943,580,081,501,762,315,755,380,061,722,244,243,961,209,
829,797,350,250,921,905,799,552,671,487,097,259,783,779,079,393,271,924,169,
150,075,906,608,510,546,084,009,933,013,075,653,461,170,583,256,098,164,778,
398,630,874,511,156,985,824,862,346,161,143,534,228,603,204,457,034,342,393,
619,071,811,730,647,879,561,164,394,368,151,342,864,958,764,195,052,480,574,
346,553,661,936,020,388,105,435,595,554,758,876,707,690,443,751,786,501,845,
327,873,582,240,278,879,044,564,003,138,079,356,324,522,415,027,124,001,999,
097,480,264,468,500,094,965,001,739,779,643,494,342,495,605,801,131,088,819,
784,072,642,383,847,832,160,188,350,208,115,759,225,354,989,910,828,847,871,
754,668,744,905,770,455,530,296,062,323,155,965,432,779,900,072,820,775,834,
543,722,792,126,227,967,593,641,164,417,165,464,680,390,292,074,527,060,721,
201,412,567,620,204,210,080,121,143,544,309,096,054,497,570,002,378,094,674,
063,862,751,621,867,787,503,797,443,805,733,554,354,159,584,110,388,238,945,
564,674,278,950,945,306,855,855,933,296,575,765,836,034,351,707,856,524,036,
011,727,326,911,465,902,299,058,148,729,452,758,917,103,686,940,902,336,148,
423,724,420,545,126,900,278,029,351,923,764,694,470,734,440,585,617,579,355,
299,164,917,753,555,814,093,972,894,629,869,448,140,607,328,478,719,654,732,
537,934,268,288,755,141,761,967,716,422,332,804,603,271,199,267,012,537,446,
648,428,383,322,156,246,538,231,554,827,671,275,383,106,929,951,758,194,902,
369,531,235,258,123,385,190,063,200,810,511,938,088,580,827,490,769,672,182,
857,808,465,496,365,993,083,367,877,916,825,871,567,948,024,173,426,353,672,
544,588,174,349,261,068,825,440,994,890,000,726,235,851,366,796,346,770,483,
832,564,493,185,489,602,574,387,383,395,709,132,674,127,525,827,695,310,468,
000,449,105,970,570,215,208,111,971,587,558,442,493,630,018,864,514,075,990,
673,550,245,378,284,309,481,841,907,759,654,195,210,019,004,970,744,821,888,
413,677,263,165,057,043,411,661,715,268,105,383,690,859,219,187,583,690,072,
593,928,709,618,722,184,220,774,326,436,325,097,053,844,845,573,111,286,163,
772,128,506,719,890,523,589,709,719,758,081,015,185,638,938,046,573,538,885,
113,438,154,397,901,773,294,538,216,369,972,491,937,325,036,450,535,060,762,
498,408,196,204,466,412,188,884,006,093,715,668,871,951,677,554,582,004,859,
229,841,807,409,303,443,403,449,363,093,068,841,459,544,555,472,918,252,557,
273,538,014,105,062,710,649,657,197,930,240,841,374,705,908,170,078,575,569,
967,397,431,414,614,552,832,408,302,898,150,734,662,884,614,251,192,698,871,
064,579,876,341,188,699,415,165,473,011,819,344,489,288,870,429,283,308,607,
958,274,767,116,616,029,201,011,046,160,334,171,643,003,363,404,313,066,155,
244,916,040,779,989,352,891,686,692,990,148,610,095,800,098,382,044,712,528,
103,015,457,210,853,228,842,220,425,314,560,478,422,736,946,464,287,011,881,
314,731,183,275,349,931,993,255,817,098,060,379,622,508,757,651,667,602,138,
965,261,727,424,978,416,480,961,991,582,321,004,014,476,347,746,884,091,521,
203,734,695,511,004,445,701,511,515,509,387,387,577,404,348,099,764,830,722,
476,620,945,867,634,525,136,306,726,540,617,001,414,140,045,034,080,854,180,
695,660,602,193,704,290,492,001,777,297,190,780,798,775,504,785,765,849,736,
463,700,718,915,932,161,228,951,706,247,232,506,955,705,084,294,211,320,974,
709,090,390,388,118,734,581,219,189,804,677,818,790,198,913,604,547,079,426,
270,049,819,777,904,108,512,977,678,984,503,118,556,459,282,395,435,151,692,
986,865,202,055,205,988,211,030,345,191,109,269,885,503,462,681,161,400,131,
481,606,562,500,928,205,091,223,944,760,042,593,155,340,144,269,245,835,083,
585,198,555,394,109,477,489,756,274,762,528,898,007,630,562,997,084,933,160,
833,362,073,162,977,027,339,361,716,598,909,859,733,729,135,237,268,821,232,
790,420,370,476,831,097,339,061,739,242,278,472,212,508,278,484,249,876,942,
167,458,394,769,927,541,450,147,891,911,138,301,587,657,312,403,225,199,698,
210,289,017,375,453,530,230,370,353,942,116,266,780,657,137,298,786,319,498,
564,487,628,301,511,321,968,625,591,328,494,407,961,649,302,270,306,175,669,
855,052,736,188,407,514,322,473,660,383,301,612,477,085,456,738,943,323,333,
411,161,708,859,873,376,180,679,498,492,338,518,439,814,642,173,679,710,049,
914,192,240,846,219,503,210,164,737,771,323,256,323,369,180,442,205,062,952,
826,375,210,552,686,951,302,451,246,483,435,271,461,149,091,328,970,271,678,
908,914,315,126,341,082,804,150,778,114,587,646,828,189,611,135,026,890,133,
813,313,400,879,238,189,518,024,324,501,327,380,081,457,884,709,081,895,002,
030,717,977,638,728,902,652,542,044,671,421,242,313,501,918,513,721,316,645,
432,206,758,127,796,455,362,613,539,792,784,341,885,331,822,271,134,261,134,
136,706,408,881,661,350,826,010,743,088,191,504,831,469,401,953,478,703,407,
333,839,390,487,452,664,527,298,060,579,436,849,592,330,698,388,048,773,535,
439,432,041,144,146,213,369,565,629,028,618,356,662,522,895,946,625,416,394,
000,616,383,433,812,241,983,560,697,817,783,772,798,940,831,584,272,212,071,
585,101,402,599,890,312,410,362,064,443,545,284,899,040,183,743,286,771,769,
408,634,463,630,930,853,605,927,550,273,978,982,980,618,425,977,581,680,916,
200,831,807,865,711,551,350,932,254,109,120,313,398,598,156,562,321,269,241,
434,088,981,660,834,380,329,689,073,572,401,911,425,999,469,475,809,938,494,
249,565,616,839,534,286,811,744,618,911,336,509,310,294,371,762,696,076,725,
700,342,640,528,977,715,315,455,393,293,035,131,033,767,740,212,702,539,609,
548,693,467,547,306,565,750,582,171,916,990,898,836,992,959,098,751,817,501,
686,554,741,971,986,009,750,084,332,080,375,578,723,130,539,806,596,079,043,
438,892,338,201,068,051,500,157,333,152,207,897,330,587,035,304,834,688,787,
817,230,444,130,036,341,694,991,864,280,520,240,506,248,314,449,717,936,232,
378,801,961,449,970,990,934,583,942,821,834,606,471,013,701,188,886,278,939,
814,602,010,361,948,662,994,680,772,563,513,674,668,168,859,371,361,777,929,
587,990,363,813,250,353,419,853,476,611,088,336,806,712,133,835,360,137,027,
756,259,049,525,682,554,426,578,095,600,638,532,026,226,135,921,786,243,571,
619,625,607,680,952,904,568,839,915,607,394,696,606,691,790,253,458,671,963,
670,297,085,913,608,176,577,312,813,176,204,984,696,950,967,951,048,861,619,
617,958,783,237,142,879,193,192,395,825,598,662,693,040,773,336,189,943,748,
023,585,195,494,878,165,836,920,056,945,529,062,367,909,684,921,512,612,781,
824,333,641,627,627,217,500,874,753,100,865,293,750,168,512,241,672,391,753,
043,007,523,336,343,093,727,428,397,760,790,720,570,012,762,476,815,698,504,
816,137,484,535,370,793,382,021,491,982,096,862,774,834,009,046,397,081,457,
690,125,529,572,814,082,668,846,231,319,230,270,321,662,992,187,681,703,086,
841,608,063,201,648,944,732,927,307,239,935,079,846,321,146,562,158,612,449,
140,136,935,879,579,579,600,482,366,816,212,938,517,590,304,542,136,392,967,
526,717,242,595,518,054,480,983,989,769,243,208,182,844,328,340,702,294,332,
032,699,747,395,374,251,680,257,736,632,764,328,859,770,993,484,559,283,064,
642,530,682,895,352,001,644,151,833,251,798,672,282,966,882,022,400,264,020,
238,248,252,204,328,477,203,493,035,939,309,920,184,033,072,406,904,806,479,
550,702,320,178,353,646,664,129,244,717,898,625,684,548,554,286,557,578,545,
169,360,092,031,801,579,625,237,876,379,683,237,727,604,480,099,537,402,108,
183,527,976,057,111,749,214,540,750,735,773,846,251,314,259,946,114,698,311,
673,876,708,704,845,955,835,817,212,706,537,398,314,236,349,016,242,972,361,
640,014,193,336,159,233,533,152,570,380,108,467,065,327,621,428,101,757,408,
282,126,118,382,304,376,322,414,772,469,322,108,817,526,176,878,387,901,345,
903,107,605,429,810,320,864,246,464,119,756,513,653,810,273,311,991,330,145,
300,009,940,965,464,660,466,028,292,797,180,688,352,333,431,975,161,250,196,
591,904,878,025,758,636,152,141,121,567,101,487,839,168,105,189,761,250,648,
456,706,535,643,550,272,403,474,688,967,393,088,654,229,918,410,355,529,040,
862,024,132,587,121,116,583,998,406,129,950,807,743,953,777,149,214,242,123,
728,213,424,631,596,614,841,735,206,895,855,193,781,932,843,403,941,380,178,
170,390,113,502,057,801,763,781,246,850,865,041,551,792,999,345,115,573,706,
741,098,577,546,545,791,565,078,894,861,484,528,274,763,242,586,699,126,179,
536,941,578,969,766,164,289,298,221,453,772,983,389,694,371,344,510,020,667,
443,376,866,317,504,427,473,352,745,129,147,172,648,796,172,430,277,205,428,
030,281,319,892,812,359,441,010,034,563,717,745,440,014,914,050,475,779,708,
291,788,098,409,238,373,265,852,031,094,336,429,465,468,264,540,423,801,583,
916,713,956,923,421,250,834,507,896,154,073,345,747,583,933,748,995,282,582,
691,964,180,706,107,950,409,656,028,881,009,663,534,160,843,248,267,694,346,
826,428,253,677,864,292,048,196,918,551,250,166,197,331,689,415,256,590,272,
619,910,347,254,073,208,070,707,168,932,443,455,722,299,944,604,180,870,554,
430,749,873,282,853,727,251,852,944,964,903,016,826,282,139,012,867,943,494,
181,361,271,051,748,652,982,868,031,831,045,106,227,088,904,667,870,269,161,
929,546,616,072,815,378,089,614,425,928,588,652,560,201,594,769,504,129,696,
512,812,608,486,221,578,085,185,589,054,958,057,952,874,172,330,115,978,983,
145,437,414,981,866,999,306,336,927,362,876,571,740,957,814,861,562,487,175,
833,404,917,881,207,972,924,559,306,350,695,514,285,593,260,064,026,481,849,
644,945,383,779,074,703,170,917,398,836,600,151,167,951,222,454,435,669,765,
138,993,998,917,828,811,272,013,956,428,217,524,321,547,685,386,447,735,662,
449,830,974,121,979,092,085,013,481,102,772,723,601,910,704,746,472,036,932,
685,530,610,243,684,753,326,410,144,117,732,487,759,819,267,424,262,453,824,
304,820,075,060,403,979,545,775,116,813,465,341,429,316,607,404,415,003,269,
567,945,381,883,340,624,306,820,095,424,730,180,532,923,184,035,150,679,501,
870,682,403,313,824,332,639,200,250,524,103,412,303,142,298,888,968,110,362,
337,394,542,906,829,454,948,249,492,678,553,357,179,909,453,162,021,801,972,
187,552,376,489,592,056,548,106,689,697,168,692,261,594,671,833,855,133,634,
479,450,930,285,916,845,780,283,079,869,748,893,347,783,369,094,711,121,928,
986,742,623,857,532,942,565,770,097,150,343,482,301,249,605,128,754,627,706,
324,435,529,003,854,949,667,629,851,009,356,971,853,416,025,483,959,671,910,
601,509,658,575,537,483,692,373,316,339,296,887,110,481,288,047,408,452,819,
399,574,726,806,816,449,610,869,948,411,726,653,084,205,481,867,485,501,882,
176,976,316,688,219,351,155,669,116,553,832,191,061,588,020,051,855,104,182,
223,843,408,332,210,072,109,316,600,346,119,643,161,764,012,395,443,609,489,
880,631,629,998,760,279,712,212,083,472,308,542,401,650,244,955,952,102,550,
929,420,044,289,801,714,651,278,481,358,718,790,465,071,334,475,005,535,084,
477,554,743,369,942,913,403,630,558,253,898,120,107,590,386,234,846,695,921,
685,568,358,471,823,946,439,735,271,040,011,509,576,145,557,981,217,983,829,
950,187,322,533,021,456,081,860,266,563,636,435,511,878,656,282,627,106,534,
105,794,222,531,695,963,632,686,753,778,046,923,279,568,367,892,713,827,726,
817,936,598,924,277,551,057,125,496,844,475,072,097,867,061,424,228,914,453,
225,943,805,390,405,082,296,589,498,468,478,999,103,315,941,994,955,012,019,
426,869,217,272,747,558,200,037,793,794,692,141,263,364,233,428,129,526,482,
938,874,560,948,459,899,399,513,790,829,463,780,917,003,652,189,291,726,952,
142,644,244,317,261,126,348,864,762,020,075,029,878,324,624,555,388,903,021,
276,995,598,517,909,342,988,415,121,494,518,172,250,858,171,801,522,817,592,
612,420,118,834,327,221,349,308,043,353,569,687,698,937,501,476,470,844,460,
401,975,062,401,565,291,102,852,256,484,094,256,413,970,613,597,431,003,863,
723,690,541,352,707,545,475,397,865,067,769,118,556,792,458,564,896,691,609,
060,047,252,059,954,675,262,381,162,966,028,944,509,747,867,062,823,711,848,
606,833,530,658,575,179,869,718,271,899,351,719,885,713,804,942,167,895,847,
525,815,461,615,334,054,610,200,631,921,109,883,041,334,390,626,352,265,332,
714,174,332,356,967,145,176,539,481,978,213,498,070,829,618,862,352,283,012,
629,042,893,338,998,027,891,073,409,769,032,861,449,571,313,856,698,964,940,
901,933,461,013,519,903,833,096,200,222,942,711,534,894,383,839,216,734,080,
642,536,903,272,251,495,082,581,994,192,693,907,923,336,763,363,017,451,099,
686,226,784,565,038,125,929,474,205,367,421,282,413,535,198,950,984,922,899,
869,141,537,678,930,854,459,273,657,827,777,490,663,434,420,344,418,689,256,
416,452,296,541,926,467,705,518,741,423,809,463,900,252,499,892,133,662,501,
889,557,972,197,159,583,214,772,012,431,612,094,025,607,849,855,003,321,399,
318,390,687,592,604,470,705,051,478,518,308,061,667,383,368,435,102,481,356,
361,990,746,068,013,898,973,710,342,429,169,025,656,227,986,181,488,510,552,
162,081,397,899,782,089,522,849,045,554,617,014,069,871,100,998,686,114,236,
539,957,371,917,667,318,677,841,272,411,995,388,221,786,334,247,141,633,640,
140,330,604,420,905,285,511,329,664,552,502,925,051,712,143,076,120,729,821,
783,189,666,431,011,463,473,354,872,815,902,175,324,584,497,885,374,776,873,
317,305,915,975,407,876,712,861,966,263,740,329,451,066,124,960,335,036,690,
275,830,521,747,589,579,438,836,854,114,799,983,169,572,339,416,910,820,145,
252,255,007,481,131,811,805,216,566,847,037,412,678,199,708,841,604,490,869,
579,887,092,538,547,537,411,051,630,220,641,928,854,951,113,584,493,351,566,
229,837,052,547,480,200,398,004,505,876,642,097,141,462,852,962,123,190,931,
410,419,588,197,092,148,795,787,168,475,896,882,451,393,227,792,580,980,234,
530,391,456,001,069,416,184,421,322,114,535,464,040,924,607,008,928,979,445,
176,500,158,836,093,933,173,995,314,098,321,134,830,978,074,427,373,752,386,
853,810,778,780,865,396,858,927,393,531,423,956,862,113,917,326,406,966,873,
234,352,737,506,800,961,363,218,773,464,978,183,517,617,988,981,953,171,105,
422,437,481,304,156,688,195,719,522,483,524,304,805,909,960,479,658,821,843,
210,969,274,024,779,143,459,228,682,744,259,668,227,443,174,894,138,684,811,
361,212,131,546,662,673,416,531,095,942,094,785,073,111,970,556,757,832,209,
921,757,855,929,067,447,765,210,045,529,125,339,339,882,196,641,148,174,184,
500,234,264,134,906,698,256,423,062,404,053,763,923,897,411,616,032,426,877,
450,074,131,261,659,109,650,252,831,167,596,534,180,643,304,751,302,431,218,
296,791,763,276,579,934,369,043,042,929,520,467,468,216,707,819,602,335,862,
905,308,112,206,929,963,058,582,929,551,092,343,119,706,996,921,257,560,266,
938,618,587,198,852,016,735,701,264,002,502,235,964,319,345,797,675,102,757,
576,736,636,248,353,020,377,712,781,302,728,192,559,421,533,616,635,348,294,
382,777,210,292,187,080,520,254,564,769,552,967,346,039,223,935,320,463,548,
482,305,870,754,568,857,493,226,648,124,738,828,229,314,365,591,498,943,943,
316,542,917,336,541,669,833,284,247,654,427,290,538,623,883,486,269,513,637,
225,248,709,813,660,663,676,599,714,553,826,000,851,599,009,428,473,738,757,
557,230,391,448,341,757,140,672,375,906,582,455,110,401,149,135,790,483,828,
070,344,742,171,050,003,048,211,607,063,009,894,078,591,081,770,209,113,805,
227,200,545,154,033,842,484,618,485,223,265,572,218,953,928,771,873,629,282,
062,293,336,222,836,292,319,685,914,157,706,367,010,554,086,734,036,148,004,
036,403,255,003,395,875,776,354,767,467,938,613,159,634,142,878,419,587,414,
135,439,916,423,328,138,893,694,516,614,073,617,969,409,628,328,136,404,854,
528,872,133,210,548,028,767,349,973,314,873,093,481,159,851,313,674,018,335,
838,629,613,899,595,391,259,948,679,259,666,589,821,586,258,673,274,174,275,
424,783,331,796,424,287,593,733,940,326,210,588,106,433,570,643,683,295,971,
503,270,975,937,412,179,261,078,638,700,698,154,251,426,945,495,946,119,285,
935,187,394,313,942,938,993,217,229,639,583,557,395,515,372,739,581,018,714,
562,548,091,889,562,400,274,497,474,915,049,836,421,491,918,818,184,112,028,
116,237,198,927,237,368,725,825,302,583,981,131,880,353,206,632,608,812,261,
425,662,856,119,996,693,615,705,332,224,499,388,551,170,219,617,693,066,152,
550,932,225,043,035,149,211,025,215,644,361,651,494,418,279,432,690,733,907,
900,008,987,400,754,055,767,022,337,561,374,323,950,219,225,948,370,058,302,
362,174,048,341,508,430,493,692,091,383,243,802,325,745,079,954,745,573,975,
993,045,866,877,774,385,317,844,184,000,199,900,028,883,545,657,948,340,264,
057,179,294,721,718,209,703,868,939,262,891,934,479,928,071,726,580,178,946,
810,385,452,822,166,832,087,541,298,727,236,459,844,243,533,787,727,196,374,
858,522,056,350,788,652,539,175,721,579,110,000,272,739,440,513,719,418,435,
679,584,805,798,607,189,496,630,070,655,444,299,128,256,581,744,724,007,158,
282,903,262,947,247,149,115,524,948,706,898,581,454,750,401,549,541,627,964,
272,483,977,175,981,182,648,040,823,467,522,524,565,284,176,276,192,294,188,
477,894,357,480,611,455,409,750,512,558,601,847,616,963,053,939,549,895,415,
790,089,707,342,760,795,664,307,353,211,296,801,433,933,139,422,241,676,965,
110,768,837,758,153,664,468,755,947,602,397,547,872,991,278,799,270,665,622,
845,660,448,652,460,396,773,312,418,367,618,979,442,510,189,967,344,543,968,
081,829,264,765,352,256,997,034,027,630,697,199,131,806,882,953,575,756,896,
775,419,469,220,766,391,860,709,578,780,249,217,675,465,059,101,863,360,697,
658,478,945,062,226,724,278,602,446,340,259,918,761,114,075,934,759,073,322,
163,765,602,017,920,500,574,830,159,198,971,760,828,305,433,285,846,149,872,
911,516,952,530,995,200,847,514,160,893,634,164,843,770,182,961,989,774,236,
338,074,260,309,725,056,982,658,798,087,273,382,640,730,729,127,652,638,707,
894,385,589,591,381,446,273,190,654,022,312,538,506,087,969,986,627,799,744,
656,181,361,643,356,761,299,432,013,318,185,805,553,134,638,825,576,062,189,
625,620,278,071,034,074,845,391,262,590,159,903,544,000,287,564,067,944,809,
053,846,594,873,175,594,335,348,404,658,033,811,856,897,520,971,805,499,594,
803,819,925,613,421,479,651,051,969,045,133,094,690,681,199,742,756,404,559,
069,145,511,226,854,604,349,095,710,169,431,703,767,392,100,830,405,978,533,
105,087,424,272,976,497,528,010,888,858,093,706,051,454,321,455,724,737,435,
625,121,377,468,789,204,036,783,707,344,512,398,647,395,332,625,671,449,726,
475,608,489,088,179,358,086,860,797,085,089,934,082,643,562,049,881,055,006,
393,999,072,832,677,810,429,753,009,638,052,622,357,566,257,545,155,480,592,
451,109,957,972,092,821,145,163,390,448,208,029,760,785,886,062,155,298,153,
074,910,738,429,775,972,070,339,745,350,656,465,487,516,170,794,197,449,562,
432,690,561,017,610,851,137,332,551,096,178,214,133,945,804,264,676,645,202,
634,232,080,195,428,987,515,330,533,836,316,496,403,361,732,460,285,562,388,
174,647,638,821,273,434,676,314,077,320,561,494,388,505,275,059,630,487,769,
696,392,112,766,267,548,991,115,641,677,036,240,349,502,776,484,530,713,748,
738,469,059,801,797,539,363,595,121,556,749,433,167,615,008,426,946,866,917,
184,340,609,982,481,876,804,353,962,515,319,504,327,870,824,627,942,174,587,
315,682,521,515,456,323,874,650,417,856,901,649,552,820,245,607,143,992,453,
395,592,045,151,616,340,465,477,086,974,977,250,917,077,512,401,021,649,252,
423,961,529,321,170,892,647,362,974,024,669,789,426,646,625,163,426,542,124,
287,387,370,648,407,112,764,501,137,336,087,723,514,140,322,802,622,581,180,
386,987,379,510,182,865,574,465,460,390,049,381,938,764,179,077,405,503,010,
069,611,173,928,728,945,084,648,722,869,301,282,885,106,893,145,851,486,980,
847,127,136,776,764,685,167,850,544,200,768,352,533,496,867,991,441,853,715,
674,559,587,258,945,989,004,211,529,609,883,929,549,781,654,370,646,374,138,
416,483,832,286,761,519,593,165,787,664,203,143,700,566,284,396,781,959,228,
137,378,836,973,201,920,722,389,595,233,382,752,135,750,643,663,209,432,079,
813,501,879,730,167,365,131,760,835,791,448,121,556,228,943,929,924,277,046,
626,413,428,618,506,910,900,889,460,606,091,661,838,221,980,203,771,924,677,
864,464,672,880,512,126,552,257,844,187,276,717,997,975,505,253,366,672,997,
447,900,115,820,800,596,057,727,529,264,086,940,404,556,255,812,895,115,654,
098,264,215,231,506,988,635,964,496,816,659,187,307,618,175,144,069,261,480,
368,986,992,204,452,258,294,094,999,655,743,370,841,981,070,786,945,882,945,
411,722,696,005,326,930,267,293,565,288,301,925,430,323,132,582,521,818,701,
273,339,523,725,249,288,881,779,371,042,146,718,262,141,599,851,491,777,393,
074,033,720,031,526,207,627,455,556,608,518,949,711,637,016,098,245,959,854,
464,122,857,243,739,736,714,576,735,628,607,316,193,961,508,988,261,534,868,
615,533,462,226,087,157,319,282,091,124,697,261,736,630,836,646,651,622,455,
098,555,114,819,493,463,588,104,701,504,278,487,810,455,685,550,612,726,185,
780,932,913,373,355,144,450,812,327,900,746,499,946,385,464,025,293,956,165,
894,931,889,800,333,340,528,000,389,128,818,113,994,998,487,271,387,940,568,
783,078,161,343,485,659,835,759,974,293,803,724,846,728,542,273,700,934,420,
635,711,001,472,222,380,292,837,594,362,011,540,372,242,105,816,569,276,248,
289,035,760,356,919,846,784,602,934,114,510,173,420,170,561,075,588,743,050,
883,404,178,874,565,322,185,645,351,767,134,987,980,421,027,444,542,151,407,
883,953,793,353,072,532,938,592,046,535,177,587,535,102,803,096,442,726,454,
188,796,279,170,927,326,047,848,448,240,956,600,486,622,666,298,730,561,301,
096,378,047,281,836,119,455,265,114,266,044,106,141,336,761,668,465,034,571,
194,624,824,338,787,790,969,992,160,313,049,431,039,035,087,187,251,515,907,
282,772,936,341,778,539,992,671,031,615,573,605,391,282,887,200,160,681,388,
023,282,469,289,974,401,065,881,702,084,741,598,933,598,578,258,047,183,859,
254,476,838,942,473,453,532,443,199,439,362,731,825,350,235,925,681,209,890,
485,878,385,707,985,726,354,934,288,322,325,528,932,041,606,218,624,420,710,
066,435,931,440,793,436,517,489,948,723,818,105,720,123,180,238,379,597,802,
918,447,176,128,992,290,686,244,442,337,701,786,524,784,179,414,882,057,440,
308,469,588,213,325,108,521,957,202,945,396,356,589,731,859,500,440,581,295,
069,069,785,157,292,370,397,248,797,731,233,251,931,878,985,148,507,612,123,
227,900,006,013,737,075,740,443,987,271,870,440,659,335,536,549,274,865,515,
501,223,411,597,229,775,829,553,315,337,606,838,457,281,479,757,105,710,549,
528,398,027,961,790,733,950,114,027,991,282,923,156,875,763,252,267,544,143,
473,081,406,178,778,936,719,466,946,326,691,522,886,837,471,494,465,916,596,
071,315,912,990,720,606,152,764,006,636,892,760,465,223,113,410,993,111,522,
389,938,651,277,143,688,302,810,664,371,836,822,894,652,605,038,445,975,260,
077,797,838,259,258,365,688,453,044,575,153,959,330,770,194,931,719,766,851,
575,129,017,132,500,364,658,498,671,095,716,778,031,659,925,494,548,255,340,
960,276,816,620,253,688,973,006,923,032,454,837,760,076,435,926,557,170,479,
702,948,433,377,631,259,144,967,987,448,604,154,222,513,499,055,073,123,953,
937,506,003,835,581,353,359,778,699,481,658,400,647,296,333,990,652,228,590,
949,466,267,339,145,420,734,868,007,910,164,766,901,263,610,626,855,609,045,
311,026,879,532,505,800,169,265,519,163,941,420,136,365,308,057,029,502,589,
158,714,663,257,625,815,854,278,597,102,848,520,201,903,848,067,533,221,934,
610,602,321,438,708,093,192,281,296,813,967,665,319,891,185,415,333,691,686,
779,133,942,324,927,901,767,520,018,259,815,883,729,480,223,657,706,167,468,
741,124,692,406,266,029,630,795,012,097,344,194,592,887,282,899,382,691,736,
362,897,608,514,115,243,081,953,718,764,284,573,442,199,212,551,478,160,019,
641,929,989,602,691,897,685,120,419,643,250,752,272,237,418,358,888,712,256,
423,378,139,532,603,648,679,858,576,845,234,638,683,104,486,525,593,462,764,
485,266,027,521,584,843,471,511,431,188,598,394,880,813,705,835,599,768,951,
686,043,801,875,420,098,645,440,333,995,187,224,750,847,313,113,813,994,709,
800,177,495,340,450,926,228,737,543,564,263,328,584,661,284,405,540,089,126,
917,228,454,880,048,252,589,353,534,897,402,312,047,535,938,495,622,780,270,
720,514,084,268,381,235,620,823,805,267,373,301,705,041,540,146,120,771,798,
206,775,299,133,075,464,414,125,882,774,263,023,629,107,576,324,350,866,586,
693,641,193,590,630,379,128,134,182,781,302,364,853,656,687,275,548,368,257,
976,194,827,950,003,788,688,289,747,020,087,077,542,051,558,399,858,200,048,
321,409,393,257,934,726,257,727,957,323,697,992,619,504,054,824,428,740,867,
362,853,063,145,231,252,201,409,166,709,296,161,247,595,970,057,601,790,689,
021,739,060,762,885,734,399,116,739,205,868,265,347,505,028,029,658,410,629,
468,035,893,306,979,359,802,915,458,603,225,192,848,118,292,290,559,476,409,
893,953,612,702,545,349,031,295,602,952,365,451,445,755,019,725,810,341,466,
201,350,531,167,794,133,055,391,517,025,419,273,756,593,661,159,251,998,194,
204,394,411,508,729,324,932,387,385,230,466,360,574,380,405,573,582,232,927,
186,864,391,759,824,875,901,858,910,454,569,240,651,627,228,533,668,287,533,
111,759,366,098,140,783,879,532,994,484,998,244,357,298,560,793,743,434,293,
602,781,706,716,758,692,811,381,010,372,190,864,040,702,139,671,604,528,686,
025,850,679,564,820,804,821,015,271,564,721,350,199,475,495,354,172,731,747,
948,869,065,235,691,919,104,727,040,804,198,226,509,464,744,329,339,542,274,
893,557,884,009,491,004,903,717,482,200,527,526,790,466,648,288,469,129,151,
178,849,938,106,683,820,811,479,649,358,874,938,943,138,200,946,794,743,131,
721,558,781,953,809,012,075,556,252,404,151,479,247,857,019,200,719,517,256,
484,076,997,003,570,285,049,287,532,097,885,579,618,428,254,798,244,083,621,
447,302,069,802,387,550,626,996,027,886,929,358,464,867,005,773,248,904,466,
760,018,410,151,520,090,654,555,811,750,158,562,295,794,679,281,835,219,067,
904,945,821,267,567,019,179,047,082,137,870,719,219,744,737,893,841,532,903,
902,303,267,870,936,896,496,431,707,309,701,186,522,966,612,721,572,457,479,
270,615,910,356,878,879,239,091,692,399,505,972,641,751,409,077,171,520,125,
555,732,366,368,859,974,191,546,768,444,830,604,120,339,645,057,805,869,277,
041,476,370,646,599,810,469,827,892,813,303,888,728,267,489,761,859,930,271,
769,887,537,760,762,823,009,829,445,468,726,861,152,275,464,889,790,168,064,
683,366,239,865,898,517,218,208,788,699,152,079,452,762,854,307,203,284,057,
289,255,681,964,143,651,929,711,167,311,158,493,706,250,303,142,663,697,943,
634,611,821,382,027,273,884,187,871,290,357,619,809,530,625,112,873,204,587,
650,989,643,075,995,869,045,228,277,161,212,280,465,141,999,308,789,046,381,
616,631,523,113,159,183,955,850,446,442,543,244,946,732,058,213,247,877,722,
911,416,454,866,676,559,455,463,394,795,795,154,323,002,131,428,830,578,001,
764,409,019,483,950,714,007,093,636,853,026,013,355,690,878,428,670,531,302,
725,743,976,367,046,706,867,544,996,912,827,187,831,095,468,964,646,165,490,
023,294,724,555,549,693,366,585,871,928,768,207,463,251,094,534,022,881,723,
431,661,224,206,432,328,518,860,597,039,188,954,822,012,436,808,724,656,981,
682,103,093,810,383,667,181,336,838,344,451,091,944,185,659,881,650,672,119,
494,434,165,260,251,279,276,884,843,083,634,871,240,414,420,138,956,189,370,
434,778,553,790,566,276,408,968,692,821,576,336,694,763,689,752,362,093,278,
805,528,872,768,007,069,142,416,709,719,277,663,230,235,119,689,294,133,507,
321,919,736,575,555,899,633,267,153,515,793,168,794,059,294,434,918,485,301,
652,160,178,478,318,159,629,675,740,040,331,013,412,759,681,588,905,747,893,
831,241,575,794,733,088,549,017,508,438,881,318,866,499,953,122,039,391,155,
024,154,751,480,946,961,361,070,780,766,247,585,146,314,531,302,357,145,006,
166,671,995,764,052,343,812,137,491,132,137,400,415,087,836,071,973,793,031,
064,720,526,808,429,908,460,348,842,634,642,782,991,267,247,195,286,683,272,
173,369,156,014,253,148,945,392,480,723,107,646,214,269,472,482,058,622,122,
339,296,502,075,303,172,687,763,495,579,444,597,618,381,305,247,087,401,387,
109,386,887,707,777,564,958,444,037,016,421,156,975,432,559,841,532,241,850,
113,782,091,842,971,485,424,785,491,331,884,420,020,480,536,536,439,775,431,
902,640,540,801,911,158,566,066,724,936,952,375,984,073,819,354,000,256,792,
266,476,371,079,785,037,800,054,177,579,602,010,498,892,837,494,348,917,787,
961,986,175,833,473,459,213,099,806,371,915,510,954,076,424,155,249,107,185,
878,368,994,866,184,356,379,029,997,725,668,629,115,861,628,318,954,335,385,
101,794,521,743,209,923,090,840,130,234,702,424,957,710,467,858,048,021,356,
037,762,164,393,870,296,161,239,564,821,011,794,891,878,961,566,876,036,788,
233,079,448,779,618,396,284,800,173,726,173,133,770,296,503,051,073,451,372,
481,478,321,213,936,209,882,415,951,192,433,346,398,648,064,302,968,117,173,
953,843,237,733,337,423,794,885,503,726,401,975,777,967,908,926,490,285,347,
409,557,440,997,119,261,378,218,667,426,527,100,038,144,554,921,089,793,615,
855,605,403,759,571,565,324,999,175,800,236,750,978,206,450,195,155,395,402,
931,450,742,208,977,028,504,703,156,667,858,076,089,352,835,013,733,285,109,
267,268,214,755,930,275,738,932,891,559,875,407,539,387,610,581,257,631,616,
273,021,077,439,562,263,463,975,448,488,738,104,601,369,279,413,438,093,728,
018,182,203,740,775,935,680,837,110,743,624,641,338,574,943,003,068,602,142,
853,987,717,959,162,668,582,945,030,732,437,054,882,799,629,024,859,166,939,
530,176,208,758,730,132,244,192,908,537,750,638,065,991,018,328,739,916,512,
540,477,562,654,410,321,540,819,891,368,729,635,311,574,513,257,883,333,949,
622,009,985,787,953,732,879,458,992,359,608,401,624,349,729,727,953,280,306,
920,645,303,030,352,224,544,361,313,132,039,834,558,547,481,599,405,254,809,
450,034,217,805,460,043,304,836,391,525,619,935,904,266,883,115,510,550,502,
067,521,733,969,686,079,608,194,001,286,255,340,770,960,947,658,361,462,746,
998,011,695,566,527,821,661,261,304,355,468,944,773,210,190,205,964,629,989,
520,871,967,920,504,978,423,600,855,334,168,756,412,177,003,171,525,019,742,
244,912,861,475,409,939,575,613,927,717,721,012,651,934,898,125,001,206,219,
278,229,430,879,000,410,575,018,083,766,767,559,717,145,142,737,400,971,256,
272,330,397,645,158,651,974,263,533,039,453,222,824,225,072,442,593,866,945,
908,583,013,327,303,929,777,422,850,088,998,172,535,398,652,468,649,282,588,
342,979,298,713,335,193,594,203,979,029,573,104,978,153,083,496,566,334,225,
606,547,494,744,639,467,443,903,183,202,366,601,003,253,509,265,985,336,043,
354,220,804,905,095,455,763,872,623,161,710,312,386,492,848,126,307,484,105,
512,209,109,195,873,378,499,186,848,326,694,319,132,862,348,410,596,951,207,
800,051,868,420,644,557,377,203,245,615,415,942,621,946,213,121,260,031,480,
090,018,657,314,153,732,743,290,777,025,777,696,904,541,896,435,215,843,814,
423,917,334,140,482,125,217,256,346,388,846,744,490,334,867,738,027,293,837,
223,311,386,763,400,955,052,755,033,225,960,876,359,181,209,311,122,445,030,
053,937,094,107,952,907,648,077,065,325,347,583,888,942,430,628,132,740,233,
269,121,508,331,562,400,221,078,290,050,238,157,130,986,984,451,925,399,559,
764,754,996,862,523,737,393,204,665,826,826,641,386,370,817,375,272,999,511,
116,430,603,854,158,375,910,537,723,898,525,523,154,467,582,850,396,637,115,
907,170,177,428,299,007,361,090,310,350,185,998,720,561,757,322,579,745,291,
377,985,763,895,227,717,453,040,703,917,137,491,330,024,607,595,371,327,752,
354,214,307,125,063,058,244,988,957,458,044,511,944,048,885,679,634,145,928,
100,029,725,564,778,293,752,692,615,503,323,629,421,275,122,917,988,616,558,
135,470,376,566,942,464,126,554,215,509,292,420,170,961,515,537,184,824,041,
405,750,443,626,080,704,209,459,833,480,754,286,476,734,333,364,960,264,304,
973,680,762,946,215,382,027,083,955,588,653,096,521,798,122,986,011,916,616,
268,371,852,916,551,365,872,685,042,743,025,189,999,141,913,456,514,161,289,
375,987,806,861,277,398,287,734,141,956,742,708,217,452,092,580,888,361,028,
786,217,984,538,493,146,330,474,137,077,235,163,559,070,147,539,768,666,562,
434,039,476,947,636,699,675,224,688,863,108,591,343,887,970,461,554,578,255,
490,826,303,846,979,769,201,695,055,047,898,622,674,148,804,658,219,971,082,
226,833,751,410,740,734,563,238,540,826,353,619,110,116,863,973,749,257,264,
472,600,056,542,794,628,627,063,794,143,249,975,631,543,822,168,593,979,473,
249,237,520,306,574,056,037,212,472,411,662,903,054,250,392,182,865,379,685,
033,621,715,072,054,177,431,507,934,336,837,602,473,970,738,354,244,997,850,
188,416,785,587,130,778,836,261,217,544,215,388,167,121,660,775,770,853,889,
991,982,472,859,017,964,207,655,146,718,895,356,594,928,926,088,678,279,205,
472,450,186,868,462,833,979,973,823,571,078,015,900,951,735,702,170,790,561,
951,213,159,503,479,376,478,870,752,532,388,060,433,373,194,487,046,003,570,
765,766,925,405,253,001,240,022,557,026,894,001,509,032,951,547,949,083,644,
607,615,230,612,356,201,110,418,883,520,719,936,071,507,810,502,732,619,869,
813,416,284,835,770,981,841,598,063,235,906,869,671,326,845,127,569,976,146,
899,745,059,578,897,206,054,221,035,697,857,777,185,480,935,319,397,698,849,
187,258,461,129,267,850,308,240,701,533,285,976,739,320,343,613,930,424,294,
051,782,447,532,394,770,867,147,623,105,109,769,308,282,951,677,645,687,603,
515,833,787,792,162,384,673,245,382,375,606,460,520,161,220,641,069,963,935,
213,935,831,865,066,682,668,242,582,777,009,747,988,648,735,783,061,604,960,
630,655,888,333,666,674,566,827,877,104,104,720,480,879,658,832,399,167,396,
070,472,348,674,613,738,583,771,504,980,509,483,910,065,830,119,399,268,120,
855,654,762,376,127,725,613,207,501,105,761,732,588,718,670,067,741,360,779,
498,126,583,290,642,227,569,458,273,673,352,364,573,322,125,804,542,268,866,
043,165,833,887,114,069,279,664,629,453,126,000,872,760,652,585,071,488,426,
216,585,528,983,287,787,617,513,709,919,990,854,280,720,967,440,466,658,732,
837,981,777,988,869,546,216,561,674,144,042,970,955,591,680,923,696,164,999,
859,845,957,788,688,609,965,406,234,574,263,382,319,249,645,666,346,514,586,
734,748,557,516,160,017,140,001,952,308,110,599,191,221,698,697,120,978,432,
789,506,950,866,278,995,389,697,939,979,043,701,189,055,255,762,245,043,928,
126,535,507,890,832,382,768,849,705,066,311,221,682,167,925,520,371,882,788,
840,448,052,504,180,061,591,103,267,732,387,797,019,562,395,200,664,117,963,
292,813,387,701,736,079,816,964,229,288,004,395,201,055,756,643,412,209,818,
250,018,607,676,206,689,641,313,815,865,057,737,264,203,757,944,919,639,665,
589,335,101,781,841,966,295,776,809,248,043,700,542,274,382,973,435,306,398,
255,549,586,617,042,485,275,494,866,494,870,627,904,661,948,217,696,793,166,
596,549,462,910,592,217,889,864,536,751,991,948,576,546,338,440,198,046,452,
120,922,773,960,311,886,809,329,669,291,119,986,602,464,103,127,844,826,292,
086,596,023,078,263,349,455,755,151,611,062,735,117,294,337,264,180,923,232,
345,708,823,972,798,207,322,853,960,831,413,704,493,890,899,829,058,662,442,
031,247,732,406,442,770,356,346,688,633,500,465,426,643,554,877,999,274,195,
718,517,521,026,068,051,695,462,332,561,951,467,610,515,586,119,202,611,022,
730,865,677,270,772,886,765,218,290,518,727,924,561,855,462,746,612,922,729,
942,130,091,072,008,022,423,161,420,680,679,623,162,357,479,143,999,083,433,
720,843,426,939,156,821,600,963,711,027,990,301,639,993,597,745,652,097,863,
756,130,861,454,220,507,279,283,848,322,712,371,009,157,436,369,180,282,986,
226,845,991,016,067,884,759,735,879,372,936,594,113,448,387,208,268,874,650,
343,713,207,760,194,365,241,200,758,173,058,920,135,963,590,261,037,279,733,
648,666,886,980,446,748,296,814,212,895,272,018,306,412,801,155,409,929,438,
631,090,178,042,522,566,159,529,236,147,341,589,141,800,685,649,793,600,188,
127,154,303,876,412,660,845,561,806,770,618,452,443,147,051,296,608,501,734,
215,740,740,760,338,543,772,047,813,477,130,199,842,045,283,945,517,251,309,
007,902,814,263,215,855,068,250,800,670,004,190,983,773,255,115,753,811,600,
812,102,852,555,500,662,060,263,256,896,323,350,159,376,700,918,135,541,111,
388,123,816,375,978,325,801,180,733,364,496,054,563,077,986,693,547,585,068,
462,029,117,737,450,017,579,737,958,433,128,537,050,283,897,257,332,270,795,
585,037,768,306,129,598,091,923,397,530,721,056,478,637,081,645,900,208,959,
791,116,836,692,607,253,112,607,049,461,709,698,285,447,464,812,392,297,151,
158,445,643,883,474,297,076,736,852,403,399,279,947,908,921,662,411,852,124,
600,713,883,771,369,880,876,345,583,773,959,318,775,916,357,896,249,335,816,
959,327,256,027,727,234,203,337,886,093,137,840,766,906,871,013,806,386,774,
799,345,762,952,387,013,256,553,757,326,874,395,392,538,744,956,142,104,555,
425,854,773,948,245,817,524,119,121,163,233,594,847,456,062,501,702,504,477,
290,351,860,140,105,138,311,503,102,729,189,488,005,736,298,337,414,280,389,
980,650,495,093,808,371,580,210,925,594,901,807,328,086,921,779,796,938,428,
452,164,350,785,440,222,555,388,281,438,322,588,814,938,632,121,488,803,095,
398,326,207,478,404,966,870,288,479,947,391,779,441,650,317,364,734,346,744,
984,649,421,134,205,166,029,532,617,143,813,591,033,019,102,112,215,373,441,
573,185,733,173,652,009,581,871,382,025,940,226,408,553,535,157,137,134,997,
189,338,174,355,595,966,292,077,004,145,242,694,438,290,510,504,230,407,878,
334,836,487,659,760,341,838,244,088,385,981,837,813,042,320,483,326,770,400,
841,612,543,668,793,959,039,434,619,926,812,832,430,133,140,789,132,565,392,
891,823,331,431,745,014,087,787,003,156,534,138,512,261,795,245,037,695,331,
273,182,368,102,403,351,212,184,952,805,101,419,521,129,104,383,719,454,809,
116,698,293,780,347,789,615,524,051,627,745,936,525,713,397,552,404,716,572,
571,130,989,149,854,227,851,668,569,943,203,288,925,761,538,067,609,167,489,
089,892,200,948,831,727,255,469,942,501,159,446,292,549,219,564,586,740,473,
437,334,573,954,370,443,100,780,653,269,218,338,741,738,337,497,963,373,596,
071,643,906,970,105,307,236,806,990,115,287,286,478,247,147,246,180,581,276,
130,084,963,731,802,539,637,318,923,500,882,448,324,338,914,578,908,073,992,
737,412,164,838,079,778,696,380,512,467,733,135,653,927,661,151,844,036,042,
778,355,132,179,338,067,038,230,479,163,203,936,903,105,820,981,007,162,947,
642,430,987,408,551,710,652,960,618,666,479,086,651,660,864,554,207,363,717,
445,866,207,384,196,815,189,450,989,277,759,006,139,506,359,150,784,016,096,
536,031,109,685,257,390,905,891,187,130,235,093,043,853,314,093,795,585,333,
328,526,884,948,172,110,853,977,164,819,521,403,145,955,709,330,983,679,355,
667,715,664,812,765,542,070,480,895,569,350,058,341,898,997,107,847,619,747,
923,094,765,430,713,320,310,036,212,909,061,777,617,862,590,052,688,154,804,
909,011,389,257,974,881,872,964,923,338,551,094,468,571,894,713,940,900,601,
664,673,211,178,016,747,598,809,861,633,890,939,679,346,887,819,659,879,008,
192,139,999,859,541,840,995,656,076,840,933,958,252,769,332,667,008,546,957,
594,496,649,069,547,707,249,575,030,704,136,752,316,093,421,113,326,773,596,
869,853,045,673,194,382,145,136,994,503,087,280,358,858,729,806,383,853,689,
453,747,432,839,823,666,724,248,699,546,761,989,033,480,837,607,407,107,017,
638,523,808,381,336,113,084,032,694,647,558,443,037,061,930,556,371,284,553,
284,253,288,705,018,779,187,800,112,276,213,850,186,763,747,552,226,794,791,
655,848,615,756,398,518,396,438,633,554,624,567,295,008,640,550,212,528,555,
124,901,396,881,706,642,233,315,626,534,749,539,452,335,386,795,377,430,238,
973,784,242,181,357,719,999,542,829,391,718,322,513,497,127,641,209,933,783,
050,827,799,984,608,991,155,229,739,776,039,149,108,445,826,219,911,484,941,
988,875,835,854,882,449,843,568,063,047,017,785,432,712,141,290,848,120,421,
168,712,882,324,108,313,396,030,978,859,017,743,618,490,690,486,336,113,981,
999,461,523,892,198,058,541,986,799,070,691,785,903,791,832,265,952,855,665,
213,343,292,989,025,069,419,608,024,629,252,262,438,899,344,720,700,840,086,
043,409,925,927,940,000,606,861,808,245,460,245,988,307,876,947,315,718,787,
784,849,950,394,128,819,676,136,286,714,865,097,441,188,436,517,354,371,637,
007,714,936,368,478,825,739,086,715,417,791,480,525,661,890,333,044,043,118,
508,308,255,963,944,509,294,283,158,265,162,560,603,439,661,827,466,818,255,
498,382,141,535,962,495,210,346,088,144,439,647,569,252,637,489,133,560,409,
179,947,972,867,598,186,529,222,572,832,130,387,596,054,476,510,089,034,676,
779,056,790,600,908,215,887,271,461,233,754,628,883,042,693,674,353,332,788,
702,474,925,774,196,767,273,306,024,545,716,079,588,127,166,062,159,665,930,
459,205,594,208,250,223,974,878,094,837,915,025,094,947,657,647,773,417,648,
126,290,132,144,529,573,124,995,345,914,184,109,563,141,040,953,583,008,624,
216,732,749,784,233,036,023,413,784,607,521,152,144,302,215,720,539,116,147,
492,702,059,912,245,372,059,310,256,570,621,561,827,625,183,103,517,847,203,
882,746,823,169,677,844,183,327,101,753,010,293,943,472,292,936,337,811,256,
632,276,950,157,958,349,410,607,212,125,408,006,978,785,445,867,191,365,852,
349,045,367,912,589,692,382,976,816,831,819,908,630,373,186,102,489,743,358,
276,508,285,704,365,727,011,651,840,989,319,376,679,727,116,632,085,841,903,
413,906,777,354,342,563,347,027,937,373,560,769,402,501,359,542,822,572,899,
786,173,691,353,895,555,903,702,159,875,134,760,167,199,363,501,891,088,100,
185,726,540,330,448,420,074,482,503,455,357,777,171,814,578,649,553,155,293,
645,335,982,623,277,941,531,274,064,451,791,844,603,426,285,510,916,594,293,
391,422,833,702,948,064,738,314,477,741,829,745,165,310,312,463,735,110,135,
161,940,034,624,105,308,909,252,950,560,965,957,270,357,115,008,412,999,394,
872,956,764,581,708,976,450,059,282,239,381,170,561,247,975,177,243,069,291,
949,551,366,158,491,132,774,088,561,643,675,973,471,060,293,582,706,172,711,
146,330,588,459,508,094,175,735,622,500,497,231,133,588,362,891,724,467,826,
167,730,846,972,055,939,424,239,838,838,013,754,759,798,451,053,772,759,502,
223,511,550,022,364,066,884,818,915,512,603,272,174,114,304,624,311,178,563,
690,510,531,817,752,364,286,331,510,347,626,193,547,831,675,177,909,251,398,
855,452,431,854,976,327,263,807,505,416,292,315,108,275,788,594,889,360,458,
751,190,746,538,302,573,346,853,446,867,450,645,416,554,216,259,608,930,997,
315,607,029,794,344,295,490,404,859,968,996,150,939,090,679,381,822,370,532,
149,742,655,729,308,300,860,245,118,441,881,200,885,407,333,269,718,852,556,
822,234,030,620,133,750,726,164,985,530,943,742,826,524,985,981,300,860,548,
340,581,831,044,507,412,988,657,449,054,592,553,836,733,948,234,792,492,735,
348,099,572,589,669,521,168,832,867,494,796,417,008,714,885,700,081,315,400,
184,689,813,939,802,014,527,114,473,446,554,194,974,744,721,308,497,134,281,
905,125,029,307,924,499,958,001,196,748,518,755,134,258,103,069,995,690,731,
424,559,368,619,030,827,134,010,646,940,151,353,030,962,188,920,755,282,611,
781,229,457,434,753,672,771,299,352,716,050,741,056,011,831,582,608,837,621,
681,985,490,572,387,486,706,850,329,084,609,911,775,594,762,444,595,705,264,
448,762,378,090,642,161,307,114,255,375,187,932,269,225,681,019,415,527,518,
192,159,208,781,763,692,337,979,844,902,911,854,906,342,845,672,676,408,538,
711,132,937,429,533,184,501,878,952,568,061,923,111,590,883,401,344,576,063,
485,734,037,070,441,823,170,909,417,716,600,752,578,279,806,664,076,834,851,
933,198,929,125,869,755,569,160,775,962,296,209,535,202,393,417,890,025,634,
900,339,650,767,848,712,357,338,797,106,569,902,091,664,485,350,564,296,174,
768,008,464,997,291,432,658,209,109,804,078,195,968,625,598,629,181,545,590,
213,635,699,942,139,836,117,167,942,763,294,436,053,614,547,100,771,356,383,
903,303,004,528,569,364,422,766,186,503,271,049,441,159,147,251,246,945,700,
752,540,832,858,113,243,615,330,643,127,722,622,018,492,410,722,754,226,538,
153,614,466,975,174,643,514,576,192,564,111,858,129,109,355,837,580,431,831,
362,436,113,420,519,958,202,012,790,572,255,849,631,595,745,981,460,012,662,
501,655,036,231,087,226,778,528,587,455,606,373,480,878,093,037,448,465,262,
424,050,984,358,092,055,453,903,511,049,606,945,994,242,360,461,728,650,428,
465,646,177,620,852,907,580,645,177,579,737,587,058,134,784,675,335,138,814,
361,918,488,402,221,272,483,254,150,486,529,102,616,352,300,609,672,165,284,
938,195,551,205,121,815,465,537,536,530,919,694,278,764,246,830,871,350,500,
863,288,788,667,733,881,379,986,387,850,100,930,196,709,991,238,887,078,000,
553,072,918,366,586,318,523,061,074,513,390,266,145,461,514,918,913,450,348,
945,132,071,262,802,853,497,001,956,059,436,213,597,996,650,709,927,808,861,
792,120,215,612,245,266,266,994,626,120,823,230,269,251,481,815,268,444,260,
574,801,338,493,148,701,970,137,460,114,902,333,521,192,792,369,649,235,359,
972,253,675,092,126,786,045,938,076,795,381,735,330,474,164,233,197,468,321,
080,789,646,711,137,887,205,534,804,029,056,695,564,701,867,092,863,835,947,
768,517,869,434,779,794,738,978,784,378,590,851,525,585,306,854,649,549,207,
182,835,417,012,352,438,460,882,717,532,118,737,120,067,348,463,007,093,598,
894,057,185,617,617,652,746,449,469,014,730,167,915,621,857,185,122,777,491,
696,007,565,509,473,859,197,172,789,727,487,287,774,884,973,725,502,801,726,
307,668,720,008,830,077,760,051,859,426,304,796,399,039,224,391,447,821,605,
396,840,939,675,172,903,593,699,446,598,955,984,578,114,438,250,733,029,943,
167,723,234,609,684,792,841,805,225,594,837,754,831,816,962,205,386,413,761,
387,733,345,327,491,374,068,131,133,712,751,892,328,729,902,464,102,637,941,
687,721,427,966,694,004,881,240,743,448,584,223,201,466,032,572,872,266,618,
373,194,343,655,133,976,878,563,102,148,274,186,151,817,110,025,759,813,575,
064,919,649,548,054,398,276,925,936,656,655,457,366,369,879,244,605,374,831,
575,947,256,506,001,221,267,652,644,216,614,561,650,361,936,190,474,730,593,
136,417,183,604,081,566,964,799,077,152,473,924,044,401,752,279,702,320,728,
799,409,599,031,619,530,839,040,007,324,136,050,218,770,063,458,482,558,095,
942,734,733,643,776,468,817,871,402,492,278,804,788,580,682,830,074,201,158,
939,183,491,089,900,691,837,800,310,400,512,443,133,439,797,806,363,757,238,
803,535,944,002,376,089,154,664,060,889,056,824,940,831,001,640,807,616,900,
139,959,224,124,038,506,451,103,626,843,169,128,585,428,193,954,930,594,924,
092,998,191,408,731,800,885,100,476,140,953,078,706,322,589,761,982,836,743,
538,964,738,670,177,601,316,823,898,277,683,567,572,198,049,525,226,445,677,
450,917,974,327,924,085,981,609,345,240,978,122,354,947,564,650,748,837,977,
397,024,461,223,839,329,432,913,039,202,701,951,362,991,633,556,798,523,298,
378,489,351,292,798,252,894,668,544,702,467,033,638,152,605,879,836,074,925,
802,138,912,215,967,394,211,851,687,087,294,771,821,619,178,370,508,900,659,
141,664,420,439,357,690,135,202,102,194,241,415,585,509,974,275,696,717,480,
975,798,075,162,525,952,814,510,057,380,061,465,846,469,867,300,603,841,910,
128,363,849,735,790,132,098,409,076,088,447,309,183,653,661,998,991,127,273,
096,875,898,532,192,573,427,862,735,337,860,831,063,692,158,744,352,272,915,
410,372,468,093,538,135,641,160,098,325,847,469,702,298,120,809,066,390,684,
483,296,684,888,020,219,558,262,373,545,682,140,058,927,393,827,675,739,503,
795,999,046,367,589,628,899,410,508,466,951,995,954,552,694,491,574,516,184,
195,927,722,768,067,425,047,334,476,287,866,160,083,631,714,035,814,669,235,
770,469,494,055,968,817,675,699,585,374,614,947,608,965,765,478,639,112,032,
859,157,182,117,307,019,557,230,683,930,077,560,583,856,691,272,691,129,346,
803,319,090,950,173,738,907,675,767,803,680,229,963,669,845,882,735,128,309,
582,237,582,509,530,880,793,158,868,116,829,506,221,453,456,606,952,827,910,
933,052,506,203,895,182,905,112,761,614,938,428,543,002,300,127,173,910,228,
032,468,671,083,890,047,703,611,110,059,023,679,891,792,041,787,677,865,230,
295,822,938,910,819,260,998,096,889,509,205,599,191,988,063,477,740,443,008,
867,791,097,668,259,319,952,847,481,192,806,298,303,637,650,452,607,874,320,
379,461,079,618,345,157,897,567,999,422,065,610,188,168,194,366,179,944,906,
333,151,344,508,216,188,683,458,810,580,759,646,572,841,531,681,533,435,158,
635,424,152,854,249,138,772,571,839,203,097,643,794,552,063,226,519,036,908,
512,081,169,512,426,210,115,279,662,533,383,464,614,946,811,329,621,920,255,
609,747,280,553,695,992,659,332,961,488,554,681,250,703,389,905,150,346,428,
820,523,996,086,670,768,401,994,295,892,479,252,197,989,254,802,621,968,182,
682,316,091,417,317,546,374,183,426,096,741,719,918,812,812,954,577,621,828,
580,488,329,116,237,159,676,728,673,502,921,818,160,179,574,478,235,391,868,
927,213,152,715,120,774,185,351,055,261,862,665,143,210,118,645,033,904,744,
269,280,618,181,336,659,883,341,342,211,616,228,828,774,258,175,808,322,778,
569,032,937,998,145,943,737,374,406,927,763,079,164,481,659,349,073,767,722,
696,203,144,006,458,443,515,223,550,830,905,750,198,951,112,436,381,642,961,
792,787,992,335,673,561,934,865,095,440,305,902,097,039,816,115,819,524,399,
173,425,505,082,582,964,174,057,203,218,407,130,683,296,488,162,256,217,340,
530,807,339,394,939,734,721,702,732,874,425,564,000,039,700,791,809,190,638,
704,729,076,418,138,011,439,375,699,122,278,957,383,909,539,468,801,109,005,
661,862,337,566,273,671,017,708,211,747,765,770,864,805,960,680,480,077,660,
481,771,439,698,286,034,329,238,087,345,362,973,078,871,626,638,116,010,006,
380,460,426,465,510,958,192,137,565,284,087,563,915,787,015,841,965,024,434,
981,801,363,916,453,044,843,991,210,988,117,317,317,233,831,215,491,291,473,
025,321,168,356,109,069,883,613,971,109,410,858,654,840,783,840,626,836,710,
849,256,776,904,478,262,317,130,807,749,031,534,327,951,345,984,615,513,103,
279,330,571,618,997,559,224,390,279,086,691,444,665,391,511,227,874,760,779,
401,167,605,966,310,941,828,916,145,876,076,083,431,465,794,473,705,269,106,
867,479,861,951,808,863,141,074,654,591,913,278,682,113,751,384,866,389,254,
497,180,805,459,764,391,884,093,290,776,434,516,665,768,952,957,058,988,923,
208,079,777,292,289,825,171,240,064,629,998,846,038,446,190,501,662,196,810,
650,143,836,988,995,399,598,421,676,395,591,557,450,835,536,230,936,938,988,
926,950,182,935,473,292,874,013,084,266,542,819,750,933,013,166,969,909,960,
573,050,781,347,038,569,082,469,382,969,543,094,301,925,524,839,323,579,660,
876,005,538,714,440,457,597,784,684,506,020,614,322,898,176,812,253,027,206,
070,851,176,513,793,588,160,123,339,613,831,932,247,125,115,895,534,769,761,
030,701,180,128,371,907,239,175,364,902,643,466,090,722,704,813,931,814,560,
361,366,410,429,834,485,204,832,501,534,286,872,260,746,502,085,126,019,523,
477,789,991,262,253,419,893,985,906,805,992,099,807,701,797,699,173,442,855,
335,495,237,030,622,310,666,436,544,133,726,513,102,933,608,833,183,861,017,
319,624,494,940,428,273,990,344,853,952,384,811,166,916,146,185,331,248,211,
080,134,792,173,996,437,504,485,710,844,071,541,934,850,052,941,476,879,086,
545,543,787,253,209,861,532,003,067,553,416,449,695,782,506,822,256,698,997,
896,043,617,131,569,488,765,611,026,902,306,270,843,440,538,904,917,906,073,
181,267,673,518,221,694,239,610,944,337,627,987,770,283,746,610,617,496,441,
365,506,193,981,597,795,140,290,837,887,540,571,370,508,501,261,877,570,690,
040,703,305,633,681,759,429,109,898,324,312,991,229,344,911,510,925,425,621,
212,260,733,756,197,002,310,628,929,396,041,511,458,769,080,337,500,590,545,
289,409,503,112,711,295,899,667,118,683,516,079,828,979,421,282,888,614,219,
018,102,654,063,470,491,178,000,347,099,090,409,188,983,464,095,445,098,782,
088,630,453,387,312,068,097,079,084,101,196,026,734,850,898,310,259,873,476,
686,667,719,488,639,805,182,934,102,403,572,725,278,632,800,671,070,564,455,
224,496,158,082,254,311,977,613,266,283,113,031,640,050,959,986,872,768,569,
125,319,043,288,298,457,173,365,965,295,480,933,383,215,423,286,301,178,299,
520,436,038,810,201,930,177,167,986,114,038,362,689,164,609,188,300,224,121,
970,408,018,053,861,316,554,934,268,320,722,539,853,109,072,829,428,422,187,
021,902,151,585,587,431,611,959,169,713,054,106,900,680,673,816,935,108,330,
292,078,078,779,041,774,544,047,568,562,049,688,239,227,265,935,790,735,777,
932,573,108,653,895,232,371,566,257,646,933,191,648,801,615,976,914,402,446,
908,592,523,329,552,899,373,488,934,643,154,976,125,179,932,985,858,221,339,
665,916,141,809,218,603,590,501,348,829,082,678,562,639,104,248,927,362,625,
844,748,161,126,895,177,109,393,735,205,575,736,221,960,851,270,476,019,029,
616,725,328,979,597,872,971,338,555,100,775,053,141,635,571,430,591,961,036,
913,093,280,865,438,778,471,928,244,407,987,198,905,319,604,955,173,217,013,
762,115,888,949,468,878,559,374,080,978,858,086,068,090,692,637,369,975,612,
478,476,199,836,845,238,521,268,995,465,207,338,121,060,089,275,162,478,117,
668,888,867,869,667,182,943,447,211,253,171,207,598,436,053,617,591,928,507,
921,880,555,519,319,156,299,449,852,366,512,090,124,206,739,151,943,466,291,
812,803,785,331,248,055,312,297,554,132,380,758,996,140,452,396,016,593,273,
848,973,369,484,643,736,652,276,755,389,079,140,126,360,544,470,486,815,476,
017,807,266,607,275,145,429,624,679,694,556,520,549,017,381,603,761,929,220,
117,050,865,217,630,928,489,142,276,361,748,119,619,830,003,150,886,382,145,
986,102,595,946,795,124,670,594,931,328,747,661,266,755,895,889,597,282,460,
680,388,092,581,046,596,971,724,411,668,196,481,090,046,842,739,300,273,316,
830,210,716,682,895,105,827,197,114,679,431,929,514,126,487,760,108,986,382,
514,284,744,602,989,777,392,648,105,026,837,751,297,744,775,654,017,083,244,
803,368,075,207,345,466,812,487,898,909,079,600,468,469,579,116,294,138,938,
783,450,553,144,338,681,633,589,227,068,263,503,251,995,234,707,371,537,204,
229,687,757,818,412,320,607,183,757,380,527,853,741,790,235,241,526,507,553,
245,739,236,954,322,341,358,692,024,806,028,228,941,063,208,688,375,962,653,
154,644,073,065,683,437,269,515,949,873,050,347,849,059,426,404,390,104,854,
679,044,890,446,241,082,746,862,609,100,919,651,474,880,547,795,230,604,020,
151,156,600,223,142,380,405,380,141,711,893,858,786,792,037,041,501,495,844,
415,898,103,648,711,873,620,791,354,760,641,553,456,343,928,351,104,262,456,
582,297,628,145,367,804,954,337,307,830,874,568,079,866,034,033,370,323,988,
324,470,982,135,630,290,004,035,321,738,657,911,379,746,833,409,951,154,857,
691,214,680,784,183,398,986,466,511,969,593,812,804,906,122,218,388,370,772,
904,591,791,979,330,146,420,850,854,407,070,462,420,156,044,853,358,817,136,
567,270,600,287,345,408,458,504,417,439,762,180,083,993,127,193,867,237,797,
974,329,511,528,062,378,431,344,135,740,422,762,305,658,897,650,787,185,162,
827,064,688,063,911,565,045,538,965,791,319,958,303,168,938,482,302,530,339,
999,991,867,113,753,899,056,692,921,981,734,826,959,654,488,072,199,747,172,
931,870,803,159,115,568,945,327,167,512,601,285,560,976,405,133,152,255,669,
731,042,130,175,839,145,534,335,740,580,961,864,227,236,618,750,427,506,501,
487,925,877,757,375,530,129,292,058,657,942,491,113,798,956,886,504,521,197,
373,755,945,268,080,509,090,594,721,208,659,669,087,059,922,171,418,917,598,
908,009,695,828,105,773,862,764,217,915,935,136,904,128,814,529,852,708,134,
852,063,062,350,526,510,033,373,319,118,603,218,630,721,635,205,273,755,797,
360,780,695,753,697,522,537,273,701,948,400,798,178,624,997,660,528,739,483,
846,439,810,521,036,192,165,716,190,535,175,776,674,314,249,900,167,851,200,
056,188,489,283,894,302,803,781,807,581,471,271,930,982,909,716,235,842,288,
677,706,867,668,535,299,412,687,788,673,221,659,961,949,677,511,742,310,766,
977,916,054,613,593,336,976,023,861,458,982,582,357,106,402,307,649,969,762,
942,636,091,234,504,143,519,906,252,962,647,891,961,852,830,220,720,389,896,
064,222,791,099,396,979,771,304,813,616,076,124,478,949,819,387,157,863,996,
797,166,933,543,441,503,629,236,596,965,375,343,115,550,862,229,067,558,030,
703,908,718,684,181,641,890,216,505,389,420,421,400,071,878,628,477,662,881,
716,483,529,374,829,766,459,075,897,420,046,970,106,986,686,809,694,481,730,
995,346,755,762,294,387,680,862,672,433,604,791,500,864,853,285,384,525,233,
199,876,274,482,986,183,698,035,256,109,485,391,716,596,413,364,544,157,391,
142,546,091,984,663,416,640,655,924,902,261,003,301,397,798,731,000,325,583,
472,046,917,825,329,632,794,957,263,723,431,530,208,631,057,825,324,915,464,
592,302,642,979,157,653,484,399,880,937,817,936,663,086,204,478,406,151,189,
284,878,953,905,221,938,689,611,501,238,529,241,008,527,352,995,874,195,025,
547,547,377,254,073,072,638,861,034,820,121,300,734,911,955,512,753,911,854,
280,046,707,958,223,604,828,763,920,133,231,561,975,159,184,277,701,059,831,
534,087,791,534,208,424,833,791,300,961,590,081,926,199,778,427,236,278,320,
539,639,124,971,069,878,526,604,129,559,398,735,045,839,270,847,186,986,396,
593,498,370,586,408,896,804,203,080,331,223,757,392,240,304,939,854,967,223,
184,892,500,782,774,094,924,605,983,006,965,562,086,826,360,998,161,830,975,
511,641,814,500,256,766,235,955,367,854,408,773,002,752,774,628,266,538,395,
633,780,917,319,545,329,757,702,873,299,907,795,604,616,619,697,993,439,089,
767,731,050,350,942,560,451,876,406,696,591,158,865,327,093,918,111,254,862,
069,041,635,233,194,321,119,438,591,679,967,228,090,512,004,737,750,842,191,
690,921,392,038,150,109,996,062,238,963,335,017,824,461,208,862,792,260,545,
385,731,467,395,188,033,604,782,137,939,292,500,208,569,282,464,983,631,515,
073,961,746,304,195,665,765,571,422,985,831,043,999,957,870,803,446,844,363,
597,079,858,133,066,743,031,585,553,064,749,089,142,097,717,332,183,835,745,
249,171,960,064,874,171,006,749,548,538,047,650,448,942,912,813,527,346,428,
263,305,492,762,988,626,758,113,008,328,463,310,733,906,505,653,740,453,891,
141,168,530,168,348,122,111,769,983,824,369,847,231,204,840,696,039,825,862,
780,718,925,664,193,089,770,716,102,732,299,718,532,512,811,810,112,428,625,
242,285,195,536,990,523,188,563,305,488,958,699,179,914,256,364,638,360,694,
742,822,905,859,629,058,993,565,076,655,282,082,384,693,213,482,455,530,151,
135,476,296,218,907,888,669,391,259,684,741,733,354,470,809,135,480,414,184,
646,060,407,870,825,720,954,288,270,317,427,599,030,435,341,130,919,994,430,
633,185,114,109,141,875,842,339,383,026,550,854,949,365,122,930,366,723,743,
607,759,995,792,134,375,141,304,611,212,389,920,434,241,098,919,887,753,945,
782,240,462,621,002,692,154,309,922,239,302,408,998,543,809,866,616,056,693,
485,262,586,159,783,979,104,911,531,800,284,428,118,061,050,932,739,963,610,
658,957,960,601,855,784,390,986,420,921,759,353,964,797,364,402,008,843,202,
732,897,378,475,170,457,325,118,678,476,374,714,456,654,217,030,323,072,959,
878,157,825,799,341,844,282,539,455,939,752,574,212,980,841,132,515,275,148,
524,887,707,502,606,028,835,466,368,590,944,321,622,571,033,793,696,856,950,
609,858,827,995,661,017,261,743,820,646,011,763,854,302,499,464,635,821,625,
650,177,400,399,918,120,772,814,953,714,938,976,968,930,557,154,963,718,302,
586,874,352,517,099,799,550,160,282,943,203,739,965,598,542,178,137,909,531,
796,706,700,511,241,915,187,712,695,437,891,315,706,638,895,060,715,821,656,
550,896,874,582,495,239,057,855,233,956,740,333,285,416,323,517,740,240,148,
628,229,058,879,561,773,871,212,211,373,072,512,052,288,062,150,655,374,748,
624,247,264,080,117,467,993,639,074,795,839,832,330,011,133,269,523,803,122,
649,627,434,829,969,873,480,003,098,858,839,404,078,030,046,437,716,107,087,
233,635,834,350,915,006,918,516,656,896,925,395,187,288,977,771,209,659,406,
670,008,391,598,458,852,315,187,026,959,833,743,763,139,059,710,824,901,882,
192,569,077,345,319,795,915,410,800,254,115,889,802,938,121,689,534,902,118,
820,233,883,738,288,403,114,299,904,127,492,763,888,662,212,550,616,211,136,
521,423,005,869,506,726,650,026,018,580,147,880,317,822,151,692,374,526,103,
404,068,014,154,737,552,568,543,526,300,701,965,628,011,402,305,757,943,729,
049,751,426,408,433,666,929,866,194,676,687,547,791,041,250,213,365,090,702,
293,996,641,507,850,506,233,917,720,415,577,353,906,350,830,920,254,591,530,
690,630,521,054,809,868,768,785,881,597,504,529,011,974,863,382,549,212,706,
075,096,668,203,356,879,826,996,553,983,379,888,217,066,175,859,468,355,549,
658,935,686,836,427,156,208,489,402,849,991,612,197,272,559,941,730,235,222,
896,718,024,548,767,235,327,484,782,474,576,820,062,245,545,000,330,630,481,
260,010,899,594,757,468,792,069,841,717,458,217,110,311,811,085,863,801,105,
343,341,891,534,401,793,197,841,341,150,342,975,088,730,795,354,968,798,563,
837,821,733,138,547,228,041,577,790,047,000,853,072,296,797,551,320,115,145,
113,267,601,504,860,198,611,530,076,837,758,710,867,048,101,513,819,577,028,
847,426,993,799,500,243,798,861,908,780,576,782,198,715,884,025,266,034,612,
116,989,662,566,596,357,949,571,882,503,982,879,181,092,289,472,956,140,008,
145,176,226,937,483,888,163,010,648,623,266,189,840,896,420,668,971,721,170,
942,231,715,659,171,709,417,014,592,805,729,176,344,635,310,856,689,149,186,
406,040,147,299,593,874,322,425,594,833,817,996,582,317,219,320,324,186,824,
953,518,715,749,931,310,421,628,190,812,995,492,833,780,304,605,941,639,777,
029,375,388,301,084,057,235,067,676,728,088,184,546,559,043,307,307,727,509,
609,353,244,959,566,621,094,541,706,876,544,473,119,537,550,896,136,306,319,
244,276,113,263,299,156,518,392,389,424,354,929,248,126,089,867,871,144,328,
674,716,054,088,437,444,384,204,379,774,451,473,304,009,725,441,255,409,091,
055,943,790,551,996,441,692,459,718,490,019,105,805,063,890,314,942,137,699,
128,994,519,959,020,360,058,379,421,503,014,537,035,052,965,313,263,675,557,
020,884,391,933,026,912,617,596,758,403,306,078,026,076,650,721,059,352,999,
570,863,758,827,175,593,160,141,730,880,912,795,371,112,805,425,665,936,431,
561,288,358,592,709,839,995,696,550,372,455,684,452,001,230,066,840,773,623,
962,640,013,419,449,007,506,896,428,296,415,881,018,319,910,798,894,661,599,
395,464,890,880,450,890,071,653,053,991,238,066,472,327,318,316,790,121,582,
095,367,843,604,912,130,536,437,417,676,235,610,578,761,486,956,024,795,617,
168,871,462,752,993,447,997,002,975,090,901,877,886,424,961,579,278,330,551,
894,356,928,232,550,387,865,297,738,021,866,042,828,050,222,178,747,129,196,
614,534,890,387,017,792,766,424,954,828,206,265,585,545,142,905,514,161,819,
354,955,765,891,559,379,678,341,516,286,032,548,038,257,935,373,285,495,287,
634,981,067,122,680,782,742,581,575,535,989,589,489,339,496,107,213,463,929,
981,368,706,998,552,746,271,810,220,044,141,853,200,355,094,385,241,359,043,
504,549,167,416,713,568,947,570,134,210,276,386,900,553,162,318,643,230,412,
225,216,213,628,873,517,803,054,319,711,783,620,509,483,751,250,239,539,683,
164,739,086,971,550,942,998,194,253,109,335,238,118,520,877,770,933,477,556,
925,806,094,309,894,522,855,085,517,014,919,985,552,089,074,607,226,666,158,
973,177,668,520,285,163,987,387,086,447,796,771,182,190,154,876,599,383,627,
550,392,254,915,215,560,844,993,314,648,133,254,625,888,000,520,522,218,000,
828,412,435,128,657,435,611,115,478,934,910,320,075,778,111,866,184,668,762,
786,075,077,295,270,676,770,572,506,516,986,993,154,540,757,210,965,791,478,
576,851,053,684,429,871,929,342,422,553,592,841,543,362,183,956,348,393,120,
604,693,276,028,100,594,472,597,515,587,180,693,275,340,966,644,733,407,426,
831,440,050,547,005,993,140,932,780,578,709,420,815,766,669,432,931,551,526,
979,371,486,116,291,814,044,361,175,566,586,320,737,296,282,260,361,742,700,
375,239,569,107,382,946,120,138,273,592,892,462,057,606,878,612,966,763,867,
247,706,416,211,190,403,081,524,091,079,507,590,286,377,810,221,766,636,417,
276,116,817,090,532,867,742,350,827,360,995,016,686,143,864,473,960,156,931,
647,717,844,154,841,489,556,062,137,390,752,735,234,035,955,305,203,866,581,
751,951,038,808,965,231,578,039,065,033,090,101,697,342,883,804,958,541,949,
473,222,866,615,719,703,748,983,036,706,571,076,229,690,969,328,960,388,645,
626,425,712,200,393,077,182,401,985,635,018,391,086,882,364,791,682,668,940,
044,175,993,123,768,063,159,782,685,774,367,845,409,485,641,895,725,359,281,
412,373,116,885,125,008,779,202,485,451,527,980,391,696,198,337,456,900,160,
779,123,602,549,496,761,421,315,798,179,566,121,805,421,481,947,716,274,552,
094,863,136,658,138,343,844,297,646,556,853,181,914,455,621,171,413,175,447,
772,955,588,019,213,826,124,374,324,826,154,159,692,748,664,995,767,278,652,
568,756,841,557,664,249,363,107,229,341,860,575,978,585,522,864,335,757,430,
874,045,875,406,325,223,553,637,627,338,496,135,157,982,070,504,949,070,698,
134,286,097,060,038,413,238,662,555,883,555,161,844,702,813,732,299,801,544,
090,593,889,419,456,456,973,603,148,077,762,673,161,442,937,517,393,999,243,
648,867,308,373,379,701,078,954,922,638,828,810,289,127,531,609,073,588,456,
759,740,566,759,692,702,261,294,630,843,128,137,362,225,683,583,039,046,485,
659,919,436,485,172,712,518,344,398,771,858,023,645,907,402,546,957,150,001,
775,905,840,791,507,450,584,438,717,650,431,098,871,743,860,224,614,920,536,
415,653,160,819,236,826,269,698,177,044,257,744,557,432,157,377,735,478,371,
546,111,612,413,255,835,346,855,394,151,091,718,827,181,661,109,680,178,325,
570,856,920,282,971,605,222,709,103,355,315,863,165,110,053,893,916,358,951,
757,829,152,620,781,287,900,201,038,594,992,250,470,371,339,136,706,874,955,
029,498,166,121,204,614,574,856,931,402,334,886,017,077,960,961,160,793,496,
950,142,998,901,041,373,916,015,256,222,469,777,631,953,863,802,931,408,154,
187,251,018,343,219,028,564,802,841,965,724,066,375,841,249,295,145,103,950,
473,667,979,454,103,806,507,166,027,992,940,495,396,450,555,335,070,352,366,
035,138,487,702,588,155,807,808,250,135,117,621,593,409,386,326,756,065,138,
753,724,468,074,803,360,335,832,862,408,369,001,142,563,482,484,493,137,486,
644,201,380,032,605,859,930,479,882,105,602,391,962,858,123,074,604,626,725,
651,004,531,960,922,163,554,576,135,241,849,237,970,387,358,275,356,465,334,
202,168,004,178,839,165,102,904,832,034,111,911,262,431,798,316,794,207,448,
848,245,432,600,914,081,767,613,061,834,090,213,152,980,742,419,563,649,232,
835,856,841,835,397,789,134,155,989,246,648,878,012,262,803,180,801,271,750,
218,012,800,704,683,449,855,361,642,362,201,943,312,465,773,557,135,468,182,
229,397,746,386,106,875,938,557,191,893,255,446,612,651,065,346,850,946,107,
199,968,866,066,689,029,250,653,103,235,954,632,801,813,173,590,934,974,754,
120,974,257,677,632,942,038,910,785,988,720,780,004,588,646,303,127,440,305,
951,532,270,219,976,231,941,940,358,743,107,584,244,641,348,177,324,010,126,
729,397,520,471,054,446,501,373,938,955,694,743,801,093,762,943,768,055,392,
182,848,382,781,379,508,500,811,015,417,119,807,729,233,538,034,150,998,945,
496,713,074,558,379,207,651,340,534,183,675,425,511,850,461,381,257,638,094,
309,263,739,483,587,933,229,445,318,740,368,312,674,405,343,157,554,161,611,
778,258,906,225,549,281,770,718,047,772,746,283,471,547,394,316,881,092,389,
196,866,035,629,486,672,894,409,055,150,730,187,644,609,693,706,562,723,326,
623,957,233,664,615,068,638,975,936,869,472,070,361,389,269,788,746,793,269,
214,401,716,527,041,345,326,720,596,113,304,139,749,806,057,836,250,684,153,
529,112,222,264,087,990,116,701,610,487,982,036,434,052,594,718,212,437,028,
674,191,035,915,475,545,969,762,147,856,700,075,534,494,212,517,404,592,863,
238,266,758,421,788,394,354,728,932,953,474,012,183,382,986,654,593,090,418,
387,246,422,078,946,855,800,925,164,347,937,743,214,541,592,318,055,520,824,
239,318,607,111,105,466,621,255,843,169,737,746,102,557,841,746,513,574,456,
004,970,704,258,227,176,709,576,593,056,933,847,733,539,014,544,875,817,952,
689,000,802,238,358,138,638,065,496,985,989,754,815,657,902,233,245,418,549,
922,180,950,249,424,282,397,368,545,879,787,501,474,452,459,486,101,634,785,
099,665,116,283,008,826,707,803,448,598,879,858,212,088,029,787,455,921,288,
821,280,817,872,998,146,085,711,211,021,668,623,652,842,965,353,017,576,449,
740,330,361,683,229,460,400,277,826,936,127,697,464,821,822,490,021,579,500,
611,491,627,556,584,891,484,487,350,741,287,034,806,851,778,956,528,841,597,
432,207,716,352,911,125,234,995,504,152,009,926,902,250,512,149,817,229,587,
599,638,918,029,371,044,401,515,429,930,356,390,741,279,251,374,270,948,119,
341,201,984,521,239,744,274,102,061,072,245,510,512,372,524,648,427,329,146,
251,140,795,562,410,161,461,282,187,620,314,780,062,714,453,332,880,017,050,
038,015,312,431,515,757,032,894,816,908,312,527,861,165,704,876,003,829,312,
142,984,457,628,754,967,297,929,438,614,231,411,843,782,112,872,873,571,558,
391,787,315,758,014,395,250,976,202,411,442,997,074,596,554,588,340,985,282,
777,121,553,980,348,806,020,289,690,183,733,663,901,263,115,509,236,463,086,
336,190,669,626,801,978,350,761,063,633,823,929,002,280,430,365,629,183,290,
316,416,345,664,350,670,857,881,183,236,001,997,943,843,333,426,860,886,436,
364,471,209,751,500,944,430,857,784,063,868,815,525,488,443,966,530,361,095,
552,098,259,635,440,066,741,971,260,175,734,412,384,271,551,829,251,010,163,
987,129,731,639,143,179,360,370,026,348,554,063,583,598,848,755,659,717,320,
978,052,174,952,795,707,709,747,759,424,193,152,928,785,174,770,460,670,760,
472,210,303,589,385,217,382,281,611,740,600,671,434,928,145,121,122,798,934,
969,219,681,001,426,380,878,998,856,655,593,718,519,643,846,510,987,104,466,
421,579,286,419,311,502,075,241,224,748,457,221,372,500,337,647,312,290,705,
748,721,833,071,352,183,574,233,543,385,167,887,032,850,439,847,081,688,515,
361,141,830,650,443,643,833,852,732,777,983,924,485,404,358,329,152,853,895,
595,644,869,397,945,037,467,788,249,383,640,652,626,839,692,677,045,880,258,
236,319,013,677,768,447,099,219,152,747,607,478,790,185,580,460,309,335,877,
826,535,643,521,982,903,664,202,240,088,137,550,983,003,385,317,374,297,895,
393,804,909,924,744,692,038,693,738,306,689,438,337,157,832,722,922,506,211,
523,039,050,280,684,254,223,219,049,929,879,046,758,143,441,921,333,921,081,
367,769,174,302,429,939,526,149,355,564,919,916,434,100,483,822,757,963,111,
978,993,572,079,054,107,981,068,213,806,036,268,712,770,026,795,699,266,085,
176,948,277,576,011,653,562,673,706,510,260,265,745,279,327,404,381,602,809,
583,725,981,480,433,217,409,927,034,903,135,717,956,918,690,098,546,978,199,
580,636,564,950,438,271,070,241,621,718,974,824,447,115,280,856,046,170,237,
646,298,751,212,091,294,565,759,992,609,229,460,971,722,241,371,735,721,425,
836,936,992,948,320,334,872,372,073,308,725,654,914,734,209,116,359,322,742,
185,537,710,624,948,832,161,372,165,953,996,029,031,109,745,857,222,372,222,
884,876,161,844,790,870,295,550,196,417,594,807,269,158,295,296,187,636,720,
080,713,932,900,761,323,098,917,280,865,527,368,839,720,852,444,688,704,074,
163,854,532,041,168,086,122,802,621,211,418,562,603,247,997,381,244,222,998,
206,257,107,176,081,866,241,448,778,937,903,579,826,065,850,351,750,387,733,
457,810,469,291,754,786,989,411,462,919,516,696,521,844,281,336,157,787,271,
946,591,300,182,111,071,775,266,248,856,085,160,077,794,559,453,890,284,423,
165,423,923,698,364,139,363,488,474,740,282,742,872,069,176,844,013,753,297,
372,560,055,249,002,715,140,812,020,429,261,979,956,914,744,729,987,321,908,
413,170,598,899,602,336,526,158,969,282,511,780,078,249,207,665,507,426,695,
794,643,882,118,626,531,596,292,580,735,801,371,340,104,760,553,604,146,547,
587,199,307,614,893,291,351,813,526,857,464,733,147,991,812,884,411,506,855,
060,417,327,550,867,380,976,738,759,480,075,308,589,207,900,165,871,053,142,
780,532,772,477,805,539,700,305,661,395,284,457,411,621,421,230,213,281,073,
496,630,168,417,977,230,134,135,128,287,218,268,430,202,344,206,340,490,041,
481,170,722,432,132,147,857,076,996,294,695,825,575,546,725,198,903,013,554,
129,988,413,753,402,347,433,145,932,288,676,058,226,925,828,185,309,720,160,
107,943,885,115,500,556,308,645,871,824,888,612,796,056,091,825,495,337,087,
914,229,732,354,986,837,828,385,747,975,941,885,951,342,416,284,673,228,724,
614,624,782,130,396,140,036,470,992,362,275,271,201,230,607,634,288,236,929,
401,817,282,014,015,885,970,425,076,114,966,286,968,690,172,658,061,225,002,
427,431,900,263,593,837,030,420,032,440,137,595,338,026,274,699,241,357,126,
521,767,337,452,980,857,327,104,124,994,694,754,478,290,875,061,243,763,096,
243,238,300,235,470,860,101,753,319,825,156,593,677,545,128,531,341,168,804,
175,955,951,757,995,895,412,267,363,790,638,233,346,628,022,250,191,673,070,
471,189,474,201,969,606,829,314,292,545,975,085,038,401,291,342,497,514,116,
853,345,133,627,478,560,759,892,052,033,066,788,378,162,872,020,634,951,824,
927,815,126,416,276,204,235,760,266,858,057,510,877,046,100,451,632,688,171,
704,621,930,635,967,258,653,482,481,233,713,632,705,886,853,688,820,359,762,
683,359,872,388,570,312,623,837,667,174,530,678,576,189,366,139,773,585,613,
749,837,343,753,320,374,149,018,678,212,247,997,941,427,928,116,262,819,713,
786,845,652,750,606,378,034,516,408,882,749,726,794,494,525,612,746,627,373,
136,858,421,874,543,300,903,439,449,776,732,878,901,448,496,240,459,841,329,
865,680,955,476,517,249,801,285,219,872,189,953,015,009,608,997,376,390,794,
393,304,225,611,441,065,186,000,663,764,156,996,005,774,170,503,860,510,814,
425,291,384,715,805,358,826,223,057,518,932,729,229,840,106,637,904,779,397,
321,704,088,006,102,513,663,571,112,887,733,152,921,508,812,007,776,105,583,
627,375,982,625,694,250,904,930,100,384,535,909,249,902,698,814,750,697,732,
232,259,175,824,543,191,955,650,408,756,185,892,995,084,253,143,390,841,231,
658,982,063,904,426,433,855,503,064,163,355,424,837,217,167,368,206,655,069,
824,933,439,927,034,648,446,566,339,363,219,236,131,661,743,414,734,113,166,
515,426,297,136,164,429,213,204,279,411,286,253,673,595,579,326,295,077,633,
890,718,323,230,482,161,483,810,936,030,235,401,636,477,182,571,925,713,086,
332,674,055,243,539,623,895,939,945,873,038,625,366,279,635,335,670,395,866,
475,028,299,275,632,640,992,717,534,265,595,400,370,549,441,870,191,836,397,
706,038,015,271,436,405,875,074,026,421,407,670,638,383,491,671,866,447,935,
263,575,321,316,158,786,494,038,504,438,114,566,167,658,481,530,022,927,202,
942,354,951,626,260,088,328,691,293,114,025,851,710,168,444,342,592,462,806,
444,944,122,966,815,613,284,452,124,426,280,371,196,745,973,251,628,854,140,
171,612,032,600,837,325,980,503,882,625,617,391,985,669,824,850,802,053,102,
101,527,461,595,520,157,275,090,764,082,114,498,656,779,311,206,731,548,576,
068,378,181,569,503,273,849,648,392,149,044,818,241,829,885,155,014,515,143,
043,302,931,221,822,469,706,137,575,232,929,733,330,118,075,114,150,800,103,
756,488,590,454,552,736,354,252,193,273,781,562,744,606,261,716,343,628,713,
770,415,708,083,333,737,380,056,370,460,772,991,667,728,574,929,549,404,186,
085,373,618,579,409,755,247,494,971,455,778,592,248,171,192,416,332,860,716,
400,687,196,239,219,590,573,164,539,717,988,330,794,766,322,376,884,193,205,
695,724,988,600,177,125,914,162,453,554,680,898,207,689,282,726,383,862,466,
384,606,777,010,840,569,120,712,046,665,202,960,581,298,075,214,376,633,277,
288,543,807,636,677,426,665,649,905,032,847,514,907,440,308,465,931,468,293,
040,248,838,362,290,108,287,975,424,100,557,860,147,909,284,688,158,299,656,
814,267,704,050,411,907,117,210,168,568,995,472,093,489,848,495,930,215,622,
907,773,181,555,720,293,419,450,029,558,077,580,901,182,345,752,815,814,893,
059,395,281,978,594,018,857,033,129,565,536,661,456,864,087,305,874,018,584,
633,065,735,873,514,695,048,162,638,232,810,167,256,442,186,266,424,856,169,
001,964,584,837,954,597,968,655,446,678,029,150,212,939,386,582,797,168,002,
337,037,478,983,359,276,115,048,314,204,596,715,934,628,531,685,761,471,044,
896,944,778,999,267,760,487,648,485,719,212,330,628,238,183,838,923,071,748,
198,057,866,092,651,966,914,354,280,652,755,054,902,037,601,059,956,327,776,
539,269,189,192,006,240,112,346,352,000,386,065,369,778,600,227,978,777,481,
031,254,093,344,940,111,573,604,206,291,518,689,353,864,588,238,573,625,394,
043,660,367,349,958,953,474,876,933,872,540,669,911,281,563,446,838,769,862,
143,594,552,920,729,868,386,118,751,970,549,966,260,825,611,244,943,419,386,
569,472,964,342,724,316,478,691,440,082,231,339,857,334,293,714,310,929,336,
186,556,141,005,329,481,887,622,097,729,472,091,456,123,291,684,553,263,940,
755,372,485,083,779,242,645,456,086,032,892,444,562,403,560,949,407,719,846,
646,301,635,786,938,133,060,529,677,669,013,473,396,124,646,534,474,052,939,
127,802,239,600,571,194,986,987,281,801,987,025,604,641,433,594,214,217,671,
601,564,858,325,031,442,200,966,886,196,280,044,822,414,832,961,031,273,344,
551,308,003,708,088,324,233,335,621,464,884,507,120,047,837,692,983,023,720,
223,313,376,131,036,063,566,691,989,085,476,290,121,349,295,159,887,161,066,
786,678,122,547,186,558,442,310,566,168,444,547,239,082,736,344,880,035,971,
274,470,345,498,437,725,200,170,494,293,523,408,207,102,315,956,805,723,861,
058,792,485,374,246,942,224,439,000,385,057,836,041,939,234,672,001,478,864,
927,770,438,132,019,317,123,990,323,973,545,063,448,499,881,546,859,666,842,
190,990,372,577,280,178,292,841,656,684,513,691,005,371,824,207,080,563,429,
151,568,007,197,792,573,753,967,990,415,673,141,465,043,613,603,696,899,476,
341,320,165,048,614,071,197,172,322,031,031,919,907,470,553,561,901,300,520,
035,099,134,794,508,415,808,452,002,514,291,451,859,374,532,161,479,508,084,
899,507,247,157,821,504,548,348,715,924,504,783,592,390,818,106,439,175,334,
642,173,202,591,512,611,257,355,844,298,991,037,553,988,452,891,115,706,432,
098,335,153,788,579,362,558,343,503,795,040,285,685,030,048,838,767,319,961,
975,119,475,427,219,826,780,084,717,433,439,677,217,827,058,618,758,800,594,
587,114,809,408,882,543,378,491,337,706,415,862,214,135,230,772,723,208,087,
285,615,965,719,989,232,987,665,572,463,835,436,260,783,119,593,435,551,398,
003,883,190,627,928,276,476,889,346,911,161,116,062,967,861,355,552,854,505,
111,347,985,419,274,350,289,889,141,634,473,667,919,604,825,915,507,823,353,
416,092,640,304,173,753,250,417,146,075,817,983,518,410,228,323,364,843,995,
790,747,369,975,789,907,592,862,676,547,732,373,211,826,416,855,728,034,065,
217,329,654,785,535,704,056,927,090,246,482,463,583,259,815,258,839,598,367,
755,194,986,739,322,882,140,500,810,022,719,438,150,644,208,955,199,310,368,
015,750,195,206,758,686,411,774,151,163,121,181,891,064,188,505,727,184,975,
884,449,309,817,917,544,089,805,853,703,475,072,951,756,758,355,259,309,586,
113,094,641,465,536,720,011,617,161,716,318,100,698,807,771,745,580,728,051,
769,205,340,264,518,403,755,423,022,627,641,829,391,501,414,159,892,052,731,
887,088,585,578,817,600,300,763,180,847,770,872,084,472,450,983,131,801,456,
524,378,219,266,888,801,189,611,101,786,125,476,333,916,248,441,888,229,143,
814,372,469,573,702,664,026,364,547,103,642,241,672,799,619,351,111,966,800,
534,176,943,087,155,383,699,999,055,291,539,611,254,622,538,216,324,174,691,
011,453,746,217,270,709,600,830,065,084,464,354,238,746,751,622,606,608,310,
116,274,418,272,824,562,755,413,174,398,399,183,248,524,154,455,742,697,280,
532,172,787,167,327,717,058,122,074,842,082,683,742,939,274,603,984,398,063,
107,416,753,272,306,343,627,209,388,630,499,461,656,632,482,291,445,583,053,
511,020,929,849,769,254,957,584,993,309,925,253,875,344,445,435,002,922,968,
573,404,547,996,689,329,884,181,712,772,964,610,423,305,696,343,737,058,761,
902,170,824,782,825,505,939,751,171,025,231,613,780,551,462,028,020,822,201,
704,193,428,806,426,609,089,528,566,267,262,272,129,991,203,054,447,560,010,
526,084,294,772,898,863,623,075,586,733,548,928,693,682,238,310,442,649,309,
697,013,815,380,315,046,301,688,793,575,389,589,554,780,419,653,491,400,930,
543,398,044,092,945,174,577,835,843,373,653,358,518,178,161,329,683,500,972,
835,901,503,411,385,493,616,425,537,307,648,406,355,697,201,878,973,197,588,
621,535,663,677,920,772,823,707,792,406,059,303,089,103,314,474,934,600,343,
257,181,099,174,766,536,560,000,759,206,340,546,930,506,261,739,517,390,611,
251,956,400,271,911,061,032,367,228,481,648,109,330,270,134,049,723,016,269,
020,694,705,147,057,707,935,728,187,491,900,788,386,906,654,557,583,183,794,
818,594,777,334,063,079,722,313,612,759,731,702,831,399,080,697,120,364,649,
239,872,554,039,124,264,904,029,725,735,035,063,489,645,243,894,405,677,917,
118,515,626,361,128,190,149,400,462,531,943,501,437,799,509,803,840,559,559,
035,517,508,604,895,378,348,201,204,602,057,600,693,717,651,447,597,488,057,
236,168,452,969,901,925,869,006,629,747,380,324,033,013,550,389,020,961,660,
480,282,170,173,177,246,792,691,806,836,876,295,106,047,572,981,927,327,844,
924,058,728,302,401,563,865,652,051,157,197,083,082,903,147,600,019,973,737,
230,857,997,288,813,526,762,724,356,044,728,058,523,461,673,860,467,432,505,
732,554,190,089,775,946,960,888,877,348,666,454,968,948,971,953,295,755,693,
263,704,118,385,712,432,002,549,938,428,845,262,500,395,435,658,192,626,167,
757,253,853,294,426,166,893,975,605,076,197,918,182,914,530,225,027,401,074,
493,530,121,392,428,932,328,092,013,238,923,363,115,411,185,807,751,403,773,
070,721,506,127,255,603,331,763,139,263,127,205,156,304,650,557,753,470,978,
602,455,590,070,382,543,745,690,653,265,877,234,248,739,738,753,128,843,400,
833,835,413,371,704,583,694,547,928,377,506,885,357,049,654,980,621,602,127,
824,717,073,947,343,084,291,874,135,697,750,791,942,850,154,973,952,671,835,
438,011,169,094,802,696,950,907,950,801,078,797,927,724,569,278,237,302,650,
746,773,225,037,459,552,129,793,450,383,860,380,186,130,086,746,341,549,744,
450,273,343,571,730,061,907,691,886,418,525,719,537,811,446,364,029,317,566,
958,820,373,354,441,605,739,500,364,644,293,226,176,493,185,026,984,774,617,
366,955,617,255,206,253,501,280,448,830,192,149,445,665,109,257,818,737,797,
522,189,776,511,619,274,428,248,941,585,803,959,267,205,626,632,461,545,566,
489,482,680,212,249,735,181,217,630,174,100,531,129,024,746,303,566,709,877,
769,238,046,404,259,958,966,450,010,441,963,978,257,468,145,811,256,629,747,
063,463,146,994,256,820,460,722,250,230,993,996,819,395,314,710,917,862,285,
044,274,285,515,963,967,220,930,459,071,411,234,046,409,060,596,103,750,396,
729,014,194,891,891,909,537,613,347,979,125,437,665,479,201,924,684,743,578,
419,614,497,527,875,167,545,800,292,837,557,638,348,586,741,821,647,899,122,
150,378,777,658,567,172,497,938,452,784,666,330,314,420,290,666,886,273,195,
862,697,548,653,841,836,862,759,934,467,921,526,006,419,578,027,022,960,128,
196,355,081,517,813,610,022,047,875,705,938,152,426,584,934,639,085,684,912,
396,246,785,809,648,728,922,539,160,661,737,431,868,902,009,088,110,845,873,
077,073,988,429,054,849,905,161,530,703,720,478,144,198,587,264,087,531,754,
249,813,105,926,646,583,772,047,361,380,510,752,224,873,947,109,835,400,959,
064,612,685,231,565,308,514,071,856,701,753,171,522,599,461,146,456,593,155,
909,376,027,927,523,557,828,875,858,512,037,548,600,974,732,372,805,602,434,
090,348,090,508,309,140,861,564,330,918,825,873,813,586,773,621,633,831,535,
805,803,783,203,083,583,907,288,153,330,824,537,365,196,488,093,251,312,005,
321,536,372,814,858,679,391,872,572,515,370,839,086,022,692,252,427,612,532,
379,234,888,229,072,824,155,561,255,604,710,074,044,550,006,177,003,108,897,
831,330,374,954,384,829,334,702,172,456,527,317,242,122,222,610,246,048,547,
244,341,743,069,951,930,277,822,039,104,948,815,331,498,945,556,059,909,149,
091,947,268,855,458,084,247,810,457,600,749,303,451,759,438,791,505,875,337,
012,710,469,251,765,977,872,666,441,877,309,656,927,380,767,971,917,932,983,
533,053,534,570,547,388,344,412,503,794,971,203,573,714,088,850,609,237,387,
367,497,896,730,338,915,108,583,089,912,399,512,447,725,806,806,903,782,559,
050,523,608,120,389,754,797,260,632,464,539,417,165,587,504,246,334,895,870,
697,414,939,024,438,937,070,494,357,156,064,232,333,138,267,337,410,985,429,
130,050,107,929,462,062,417,135,454,080,939,764,314,968,936,969,143,842,021,
132,212,754,060,224,392,880,183,885,559,723,150,959,986,384,130,749,425,983,
625,187,373,028,628,413,582,902,164,398,289,704,432,589,077,585,968,577,046,
737,676,404,457,162,214,883,099,747,116,833,776,918,361,994,779,251,236,288,
486,864,947,148,234,923,989,617,212,253,361,122,811,415,068,069,582,005,959,
808,239,147,260,653,393,166,116,348,233,652,951,004,204,236,595,731,683,637,
561,350,791,106,783,460,280,568,122,386,086,159,537,933,450,247,906,117,878,
507,962,686,997,081,104,894,671,877,024,105,001,222,482,752,716,059,644,330,
586,332,942,186,245,224,132,622,418,155,572,837,009,148,165,909,883,702,112,
369,164,409,694,065,339,443,983,462,226,466,206,736,197,921,314,648,072,980,
459,252,733,708,602,373,474,129,038,945,676,096,888,552,897,585,554,155,154,
994,031,111,041,417,697,913,263,416,925,340,222,818,922,643,350,869,014,839,
058,216,304,043,703,352,347,845,768,727,216,723,392,761,222,184,641,611,573,
097,104,994,405,056,176,255,908,164,895,969,001,842,725,674,823,136,994,866,
931,120,616,857,996,410,313,026,448,041,397,082,170,125,957,603,506,903,261,
694,313,118,744,919,534,572,293,497,941,366,797,135,621,087,725,057,723,428,
817,671,321,126,091,529,451,926,422,570,475,785,435,281,451,257,358,319,107,
689,576,328,618,840,012,875,061,963,944,859,694,560,945,991,500,058,461,441,
590,548,172,115,196,274,894,303,975,238,582,341,746,763,962,552,404,045,922,
210,625,946,272,653,354,220,940,026,826,989,859,713,792,946,707,658,515,067,
314,980,166,604,099,351,337,954,959,251,172,614,943,215,936,269,654,566,800,
618,573,416,838,697,568,330,013,284,295,881,954,137,110,084,574,380,966,224,
118,990,816,852,966,100,353,032,229,412,447,117,303,608,759,246,247,001,176,
716,762,574,924,432,694,513,602,885,519,100,979,406,594,011,346,256,778,274,
247,304,505,100,217,466,685,681,818,956,410,299,298,898,559,830,041,656,678,
650,159,238,870,892,706,582,409,818,394,229,181,557,476,626,923,375,205,601,
074,290,020,991,703,319,843,341,272,925,216,498,124,327,290,580,594,587,784,
591,566,285,686,035,900,363,431,788,488,721,985,873,815,503,119,792,738,824,
950,736,791,989,999,471,443,798,386,790,220,126,239,335,575,830,583,836,410,
465,068,251,013,010,877,619,513,515,748,772,610,190,673,558,384,122,516,579,
481,131,098,024,336,544,344,000,050,279,139,989,588,717,742,542,406,346,945,
868,488,990,088,000,092,208,468,825,430,909,001,752,150,911,637,730,382,158,
210,082,779,102,061,974,412,328,245,720,733,172,508,529,318,854,979,178,125,
135,963,324,380,876,483,588,383,247,188,414,097,631,552,583,135,159,562,038,
993,233,246,664,603,701,485,278,530,458,986,801,818,064,954,860,922,936,495,
536,700,122,988,119,078,721,008,135,139,311,940,682,891,237,612,819,986,843,
198,275,752,668,846,373,768,981,180,039,661,155,091,038,506,502,256,859,903,
309,505,985,311,890,198,837,847,698,989,967,375,947,323,071,201,436,991,462,
042,912,205,688,981,642,825,699,504,596,350,730,736,658,538,847,321,460,523,
690,510,851,382,061,893,014,268,233,147,379,257,189,273,121,187,106,798,793,
240,814,207,717,260,856,014,701,941,934,854,304,631,567,333,636,539,686,601,
308,805,449,258,545,371,361,616,286,479,771,718,772,317,052,350,327,216,798,
628,702,960,348,041,813,903,618,844,182,770,582,981,882,495,809,722,465,750,
301,893,778,387,119,365,742,178,455,652,196,650,203,136,692,782,426,786,117,
686,209,633,002,069,913,849,136,405,024,389,402,646,592,469,756,749,781,507,
401,756,457,425,392,459,438,670,447,236,510,007,994,420,623,358,945,986,721,
871,787,747,086,536,398,034,606,993,193,027,852,173,633,901,240,733,699,155,
515,589,610,472,897,117,698,462,352,460,856,026,565,205,878,127,557,214,035,
849,478,399,257,952,045,878,016,561,483,761,156,998,073,145,140,397,423,813,
524,900,626,705,455,591,892,012,591,606,874,582,796,954,603,777,839,208,042,
856,402,969,204,393,316,873,577,552,021,714,790,312,067,068,600,918,624,984,
844,026,402,255,937,883,780,322,179,676,770,005,344,807,865,077,764,168,070,
504,359,990,135,627,895,749,253,229,477,436,070,733,624,543,111,558,075,485,
596,804,274,664,838,560,894,725,065,019,428,927,578,808,507,876,111,779,501,
937,432,216,498,279,594,586,320,910,816,214,599,974,090,044,156,609,353,198,
223,599,837,006,799,749,072,016,537,861,615,246,302,623,064,579,559,859,888,
120,904,429,039,940,591,845,877,571,325,822,782,300,424,363,829,219,851,507,
706,015,393,448,947,292,039,857,211,620,195,496,845,516,589,481,152,644,905,
105,477,090,903,439,353,606,894,973,768,825,674,302,996,986,411,390,899,202,
791,769,466,499,377,645,250,837,311,952,004,723,907,911,295,653,443,094,586,
858,574,188,170,193,293,723,422,003,494,313,190,861,467,810,547,876,666,422,
987,712,136,210,505,287,215,013,737,157,051,067,898,003,556,054,054,821,049,
926,815,336,918,496,293,106,359,219,325,262,095,707,210,625,935,365,604,112,
583,413,030,568,894,454,335,313,166,048,428,838,357,700,858,864,401,655,031,
263,990,795,720,416,642,261,275,638,519,980,413,871,364,176,535,984,736,476,
353,498,126,057,202,958,117,217,147,429,363,617,903,796,739,305,249,334,104,
632,417,675,633,507,652,023,075,996,892,077,205,342,758,814,220,363,886,796,
441,680,420,723,915,274,788,736,598,266,532,334,535,687,252,251,654,955,243,
782,736,794,361,765,296,534,867,115,593,652,678,491,855,832,212,154,000,043,
066,956,349,260,697,235,026,580,430,739,768,567,338,933,758,125,368,935,474,
432,648,945,198,833,184,290,192,048,087,397,614,275,576,823,557,061,230,295,
902,394,480,090,869,763,316,100,251,858,760,579,099,312,090,353,795,303,965,
311,517,859,882,519,928,203,356,428,619,345,992,277,211,080,700,861,270,161,
883,290,092,214,195,041,518,840,965,340,048,977,975,007,412,498,787,004,428,
170,138,669,412,077,072,110,818,351,755,993,056,547,312,103,142,713,424,317,
186,942,249,563,993,106,948,494,980,276,443,467,263,276,813,213,296,133,834,
796,742,266,201,294,496,097,294,098,848,787,178,035,973,986,833,654,326,530,
756,402,539,847,132,114,252,723,566,208,402,623,971,117,291,761,479,621,481,
980,382,020,393,896,475,308,532,689,803,494,159,004,591,920,312,717,662,466,
608,807,253,842,490,266,552,125,769,817,382,539,913,346,097,103,277,356,032,
857,061,842,953,906,831,858,028,551,904,695,705,736,955,043,264,250,370,166,
562,331,774,065,365,684,970,246,612,184,180,485,160,930,986,519,226,130,752,
963,075,727,033,157,340,407,658,857,462,452,456,779,516,905,855,526,700,894,
580,584,062,284,928,583,217,021,188,035,097,858,313,575,844,939,818,370,766,
556,017,903,801,991,988,932,359,252,421,927,244,504,397,526,148,642,146,163,
673,051,036,091,239,110,001,986,398,356,236,359,374,699,102,534,781,355,665,
528,975,986,994,867,508,477,716,479,843,332,766,482,205,652,779,380,701,226,
417,886,332,742,748,178,100,380,615,016,313,648,115,303,563,192,845,745,096,
873,120,309,967,964,952,525,128,436,179,783,013,499,814,426,543,836,612,944,
078,611,654,241,736,056,543,627,328,070,622,047,328,546,099,228,088,452,879,
831,485,065,402,190,803,431,237,881,031,473,853,931,972,577,998,145,343,392,
373,298,878,985,580,809,415,463,772,547,083,016,737,316,265,994,559,880,044,
703,859,041,152,248,294,980,119,603,201,486,871,800,615,767,403,652,580,839,
799,596,237,502,821,321,950,716,947,220,328,117,749,674,369,470,439,896,893,
130,024,034,758,347,482,698,921,231,571,699,753,643,408,970,376,198,179,998,
512,892,102,673,865,530,174,384,594,078,805,424,040,556,991,438,866,160,359,
719,744,880,486,502,394,454,372,460,118,953,545,880,201,194,936,734,630,794,
639,357,933,844,923,810,733,023,783,303,101,389,068,912,030,050,621,224,903,
766,140,253,177,028,381,049,709,438,519,040,151,970,057,519,159,842,784,694,
794,704,402,878,394,785,752,712,375,915,372,340,729,523,959,309,029,484,957,
326,050,952,712,300,861,436,656,761,589,308,337,273,682,466,942,611,282,025,
641,674,498,240,228,924,105,419,524,708,547,314,455,921,853,725,528,423,025,
103,651,152,775,293,899,933,458,085,523,727,863,623,827,802,074,567,865,225,
839,411,923,365,587,528,219,562,271,892,568,391,110,095,445,481,742,971,490,
083,748,208,246,521,675,811,340,142,484,581,465,984,448,469,172,068,730,954,
255,432,461,562,966,631,588,626,216,458,414,240,439,446,862,287,707,914,926,
683,016,590,812,089,060,323,138,680,236,517,111,127,634,210,348,608,708,145,
624,676,905,258,092,033,912,824,053,309,331,733,993,858,017,520,616,326,686,
275,748,475,846,842,159,734,313,448,392,816,639,183,881,681,589,051,560,733,
687,124,310,336,016,890,258,885,660,379,765,174,104,647,392,715,523,064,026,
725,234,058,620,101,881,829,387,211,943,355,065,177,172,049,080,583,785,050,
999,812,500,289,911,158,290,278,807,985,752,479,402,647,005,395,117,764,738,
367,517,916,518,536,535,214,215,571,531,031,862,978,753,571,346,381,095,655,
206,742,854,928,010,540,968,297,226,021,823,367,612,180,360,830,683,074,195,
440,145,985,952,434,252,523,700,059,369,352,159,004,824,233,916,326,319,569,
335,872,153,306,774,912,202,330,260,013,555,570,907,019,045,183,635,766,098,
654,945,409,130,886,023,198,174,531,190,126,284,808,013,606,377,527,940,769,
917,940,591,253,519,700,253,770,729,416,166,935,661,346,007,999,077,592,336,
970,964,038,809,689,338,525,203,269,056,232,072,032,642,659,065,337,786,582,
184,509,088,952,017,767,241,836,685,927,455,924,196,332,693,107,651,070,776,
466,963,672,126,819,176,884,957,732,407,101,166,035,834,589,001,672,114,499,
254,505,836,379,802,907,370,184,756,157,226,404,678,184,736,639,985,545,315,
191,633,910,611,581,254,819,522,250,799,763,380,368,250,990,670,457,494,596,
519,173,933,133,895,795,556,278,164,052,757,614,298,707,279,463,697,682,561,
071,633,188,244,170,819,266,687,963,919,540,314,162,479,034,096,127,162,664,
460,648,781,319,983,981,276,999,964,363,081,010,765,827,430,983,413,379,862,
956,683,472,908,232,317,549,484,650,380,399,768,320,964,548,038,302,584,745,
318,722,361,211,859,304,765,485,853,496,769,451,868,407,736,827,028,110,314,
473,897,901,282,218,025,619,157,785,208,672,316,842,157,398,176,658,710,021,
731,342,054,449,845,282,294,479,345,495,678,225,730,576,379,399,528,576,219,
674,599,819,108,569,257,666,539,005,640,937,498,823,684,546,236,067,732,009,
250,076,312,436,658,510,482,543,421,325,939,192,041,716,653,836,475,295,926,
279,360,549,811,346,104,924,384,202,048,563,087,164,026,963,691,848,670,873,
344,882,839,979,348,009,507,263,858,742,947,982,202,937,588,560,306,130,992,
093,618,177,911,597,984,931,163,308,945,910,454,373,738,184,142,368,778,198,
167,827,430,981,940,008,914,150,628,355,787,869,975,249,106,875,363,060,927,
633,820,441,540,393,859,624,528,681,439,957,366,789,664,242,941,632,471,477,
290,624,732,533,440,646,522,625,471,124,023,346,471,391,417,321,892,692,131,
049,811,650,708,139,531,071,758,818,644,162,217,905,270,294,533,631,665,817,
401,919,298,376,206,479,857,627,421,883,595,399,630,694,004,035,881,181,859,
477,971,114,719,819,063,355,433,582,121,687,812,718,526,979,119,403,600,419,
266,456,842,925,068,014,592,685,103,569,809,798,267,854,268,989,640,199,199,
257,725,713,980,568,002,635,386,862,824,020,951,290,638,938,095,015,847,331,
175,637,575,814,925,994,711,915,359,632,926,371,592,077,190,704,340,358,908,
324,382,562,210,926,343,514,909,382,708,155,688,637,713,369,603,511,061,104,
673,959,217,589,209,467,429,694,328,578,918,760,920,588,300,746,612,417,432,
716,117,561,377,246,176,355,285,666,722,105,161,334,634,994,619,660,805,719,
772,274,623,015,318,107,398,823,748,891,634,758,969,022,276,462,973,268,112,
365,634,125,635,795,494,176,983,267,952,123,877,917,347,026,320,017,966,453,
415,735,473,545,854,269,818,414,458,448,016,515,501,686,497,895,516,489,060,
257,639,970,406,293,822,787,884,361,637,001,070,420,881,563,844,598,666,359,
728,271,090,613,557,090,738,938,421,096,500,121,610,597,415,344,296,062,755,
572,279,980,049,632,604,098,590,805,243,637,178,459,508,986,252,566,010,956,
577,587,710,456,452,054,399,193,032,834,974,900,964,550,671,718,287,557,718,
649,502,687,969,596,935,464,114,986,829,704,139,697,399,398,253,828,328,867,
042,856,388,187,463,947,213,358,080,485,850,403,382,591,244,364,327,504,301,
797,406,368,442,054,237,082,262,691,152,641,132,045,214,894,860,636,761,967,
572,362,861,461,363,276,036,335,010,019,808,657,504,621,654,215,026,852,607,
299,689,451,738,879,186,987,585,289,253,635,323,516,343,142,653,309,830,998,
279,536,775,800,038,140,533,262,379,841,903,497,601,595,727,870,821,515,465,
245,752,478,424,434,447,924,496,550,790,297,907,654,739,428,913,238,418,154,
216,186,868,571,211,270,867,779,555,023,072,237,456,969,859,405,518,610,430,
102,899,884,888,629,425,985,982,796,055,911,652,991,950,992,807,721,849,888,
364,419,127,476,326,474,048,129,044,914,366,127,335,771,253,883,417,908,241,
581,401,252,129,142,056,249,302,277,513,983,809,299,701,385,094,139,106,960,
432,264,434,478,817,126,447,970,373,663,479,809,634,085,543,547,680,066,653,
385,985,731,214,042,317,978,332,031,569,720,417,348,103,505,304,239,652,080,
748,309,596,840,976,520,583,331,768,639,762,632,385,907,890,129,758,214,703,
738,465,675,771,005,280,623,511,100,443,572,450,444,115,235,144,689,403,980,
940,973,909,363,093,610,103,757,065,429,935,083,191,618,385,642,682,612,052,
241,344,047,567,995,778,125,576,673,850,223,341,350,611,514,551,382,354,338,
352,891,576,231,098,681,976,621,105,471,474,574,512,943,202,868,665,133,519,
574,852,938,839,679,945,957,204,738,211,344,650,366,625,724,780,311,072,791,
722,003,394,479,762,015,721,589,662,300,441,569,931,966,860,544,824,448,854,
392,585,519,642,376,174,940,141,620,956,565,224,355,539,391,154,857,051,804,
270,916,181,528,989,511,309,524,265,509,372,500,849,569,526,780,054,683,906,
305,482,475,674,392,872,193,749,943,771,831,172,498,862,866,675,077,096,361,
258,982,748,303,601,519,654,181,470,430,164,054,965,707,772,417,812,436,625,
517,851,296,844,307,163,913,964,837,250,479,820,881,945,597,150,435,346,124,
661,840,508,392,214,038,591,949,013,462,848,163,813,141,483,663,287,127,883,
378,537,154,773,367,889,163,484,533,349,061,123,925,303,736,481,068,854,634,
093,108,510,048,600,433,066,492,506,383,023,210,068,101,971,575,695,583,428,
568,400,883,076,390,981,825,249,656,602,108,894,277,109,279,386,873,930,640,
030,177,844,432,653,633,811,380,076,293,202,745,675,900,459,281,750,789,218,
792,238,379,110,358,282,335,061,865,973,730,033,304,743,440,518,437,985,153,
570,122,176,572,472,615,333,184,592,201,767,745,130,399,516,528,815,982,796,
572,278,817,908,262,750,804,810,462,925,197,762,332,510,440,685,298,615,610,
962,806,963,349,335,975,476,015,978,683,556,508,855,898,048,322,289,421,472,
087,462,776,584,365,244,198,199,233,020,237,945,136,400,231,686,337,729,400,
831,539,768,547,677,536,901,768,742,090,831,756,917,791,982,437,609,753,673,
401,371,576,579,648,945,613,834,378,820,328,960,721,123,989,141,847,542,740,
905,163,403,305,938,985,243,348,231,186,862,145,765,282,930,097,573,225,337,
786,005,794,068,691,126,781,999,629,092,621,011,448,719,208,716,952,432,650,
379,986,691,311,359,847,606,485,767,420,067,213,304,498,357,953,013,429,106,
849,687,119,155,800,032,125,742,918,686,819,847,278,156,405,273,874,405,575,
346,256,762,206,276,469,071,992,510,358,930,654,557,558,047,077,073,111,572,
269,214,338,496,721,361,830,309,414,942,978,109,776,344,031,772,025,294,623,
453,294,098,920,126,455,454,322,899,883,608,471,888,957,603,716,774,672,577,
982,610,765,060,980,923,581,809,396,487,315,172,432,600,590,310,743,960,160,
200,011,022,700,362,509,980,117,286,439,808,571,309,969,708,101,498,597,901,
036,581,228,548,628,302,236,549,397,902,166,480,671,452,247,838,464,201,998,
740,049,484,947,769,842,002,300,979,707,751,021,763,621,676,453,182,855,800,
909,803,175,480,563,332,231,351,717,150,575,580,329,772,964,983,043,174,712,
440,667,915,703,338,865,090,728,537,989,339,944,482,017,259,325,127,763,711,
097,332,116,384,005,516,591,156,911,040,133,909,251,347,890,695,184,573,002,
177,800,446,572,958,935,176,754,919,047,208,737,734,763,336,011,009,183,648,
781,723,149,676,031,759,212,111,800,426,557,261,016,568,739,530,490,674,934,
135,631,346,996,594,281,921,333,331,917,041,799,891,592,897,337,432,412,201,
293,683,871,530,664,907,385,380,290,906,321,718,930,195,193,119,502,757,279,
076,463,389,857,167,705,910,821,314,234,256,506,035,957,576,386,626,222,758,
070,738,825,188,506,111,542,078,467,888,025,405,029,455,303,816,599,071,845,
566,169,947,889,494,251,148,331,700,406,345,584,904,847,414,944,511,888,111,
873,412,543,168,588,293,751,873,273,384,626,458,880,616,115,896,119,015,896,
489,852,535,448,994,880,034,439,253,737,564,792,538,459,936,166,543,272,115,
757,923,403,383,613,921,905,603,862,652,977,363,277,621,448,188,958,504,548,
136,418,347,723,331,841,407,943,163,408,013,477,015,693,410,172,006,401,824,
201,602,818,858,173,239,146,148,091,992,852,285,067,576,585,654,528,999,610,
414,652,628,922,385,387,178,678,221,630,305,320,657,902,288,213,051,579,747,
751,053,496,712,748,027,292,311,047,408,303,237,453,732,664,905,911,464,717,
367,355,901,733,904,110,222,004,061,214,243,217,292,642,196,409,481,614,762,
441,046,346,323,931,041,103,223,703,425,057,849,395,446,175,551,318,795,489,
271,985,061,143,311,284,481,261,521,910,171,274,233,304,928,311,787,745,719,
939,928,395,310,928,470,363,193,850,849,727,215,919,037,386,768,185,151,711,
334,849,298,541,943,950,162,899,633,002,075,443,030,949,401,889,536,844,432,
605,487,616,578,455,454,212,136,721,676,979,254,171,352,357,188,863,485,955,
723,069,145,208,471,789,119,341,317,896,237,571,379,047,764,572,807,762,812,
604,694,589,401,278,422,303,136,007,838,098,018,581,800,399,386,009,503,228,
638,032,736,589,162,852,058,640,290,042,890,636,366,104,525,273,249,905,794,
202,204,712,108,799,321,686,661,752,301,215,655,883,933,171,259,935,433,414,
952,018,416,966,712,174,265,557,100,779,059,851,554,848,999,937,902,463,702,
334,825,759,240,566,222,835,991,212,391,303,447,748,026,816,580,772,312,206,
543,079,464,809,633,401,231,080,565,279,176,796,594,845,070,276,496,613,708,
935,566,118,498,825,956,383,558,188,598,876,332,056,289,851,187,701,172,362,
020,985,424,669,589,930,649,584,439,149,125,219,556,782,363,163,481,608,417,
270,909,646,829,791,238,902,723,316,728,464,893,262,589,679,681,635,999,232,
051,559,091,245,588,153,074,149,697,598,377,676,721,398,297,210,055,656,729,
787,416,343,892,806,391,230,071,331,450,217,799,988,413,087,034,168,230,613,
147,355,174,584,634,875,499,885,664,383,214,199,606,443,775,910,995,098,214,
535,504,353,199,351,149,714,352,516,703,903,474,686,620,507,660,009,535,136,
109,397,457,941,517,417,144,160,817,702,895,050,783,099,361,635,079,314,492,
978,698,897,855,699,281,723,806,023,325,948,203,483,047,485,421,300,602,875,
089,694,534,519,263,512,709,475,457,776,391,373,764,573,411,935,664,771,484,
128,789,180,316,291,703,841,215,461,092,287,884,320,508,146,008,550,611,218,
282,483,524,852,607,583,490,204,614,285,061,703,679,893,948,065,553,057,323,
786,603,218,635,207,799,760,287,069,712,561,808,150,024,562,196,675,564,266,
973,235,148,897,543,933,116,861,198,298,770,386,517,668,561,576,812,570,023,
069,491,206,263,183,044,796,406,797,862,702,582,921,169,877,149,773,282,486,
342,683,118,146,743,689,922,245,798,717,622,098,235,415,054,418,805,976,537,
200,820,282,774,285,004,420,432,147,837,111,117,979,609,597,889,648,058,642,
844,266,347,691,335,519,018,319,001,670,977,656,571,532,919,398,393,359,998,
297,617,448,797,716,807,031,874,987,316,902,763,873,704,905,193,184,938,414,
546,778,966,456,045,414,227,640,142,553,168,708,923,070,799,983,641,866,124,
343,123,959,524,217,326,590,963,439,517,424,644,888,845,683,813,800,971,967,
191,267,400,976,655,251,849,171,413,825,768,261,798,012,876,327,606,609,430,
543,477,496,932,130,552,157,529,696,782,541,856,071,243,394,966,516,662,438,
594,705,572,905,942,429,284,072,262,249,688,075,890,484,273,414,150,748,959,
957,730,154,963,781,552,502,841,342,240,376,491,607,455,559,033,952,072,212,
844,307,616,351,455,732,399,596,451,396,893,122,683,047,964,036,145,008,045,
711,156,866,444,627,862,109,976,761,103,447,077,603,277,446,740,520,722,927,
925,048,032,925,781,746,767,934,212,762,851,181,369,149,453,841,133,113,701,
418,287,073,928,736,434,101,691,890,504,430,960,246,433,082,222,668,710,665,
447,996,551,355,505,977,572,494,902,826,053,854,588,365,888,193,726,629,812,
981,409,315,887,987,033,539,877,984,384,385,199,335,169,667,971,815,759,123,
977,474,145,644,042,157,370,574,449,597,958,744,256,291,025,546,660,302,494,
091,909,214,398,076,542,953,996,779,004,314,034,815,618,457,056,338,114,323,
562,333,336,417,746,109,698,403,423,548,572,979,005,554,014,935,652,081,655,
889,460,629,038,935,058,950,743,859,278,684,114,037,149,705,826,537,775,299,
667,092,854,498,596,685,184,066,365,952,994,801,146,912,529,312,404,090,052,
534,653,048,961,658,457,161,366,406,569,193,674,087,540,765,107,194,415,385,
228,877,875,561,547,913,165,704,460,266,052,511,026,187,939,877,396,814,538,
041,661,318,214,161,542,153,155,856,804,334,231,464,809,320,852,020,681,536,
688,223,018,670,689,348,844,916,281,043,417,842,268,989,128,025,678,507,615,
602,227,416,628,853,518,094,615,217,101,887,250,743,785,694,288,862,825,169,
552,197,486,815,395,974,726,504,683,096,870,223,042,142,803,889,937,458,667,
235,660,004,811,004,995,125,016,766,043,120,156,866,762,133,044,251,968,192,
515,141,378,990,916,309,320,812,439,577,124,141,746,156,514,917,658,918,350,
305,173,351,337,386,593,235,343,474,646,708,458,812,093,885,352,428,985,619,
486,970,272,409,365,189,964,525,413,634,009,088,559,842,853,861,332,162,238,
311,688,198,907,414,700,485,247,579,152,186,632,131,787,864,823,018,679,383,
519,363,601,424,644,605,728,204,329,115,369,295,951,831,885,186,269,736,858,
519,561,993,407,036,342,185,067,584,308,462,569,151,489,074,039,506,562,288,
318,953,417,535,150,432,564,033,010,583,488,853,007,895,031,312,887,550,003,
517,241,346,871,693,092,537,078,839,914,477,591,404,949,937,417,076,928,430,
800,135,755,877,696,155,643,529,367,443,205,424,319,323,673,206,216,325,949,
195,899,444,391,654,449,585,911,544,996,507,008,262,198,355,919,172,258,372,
109,563,172,352,529,267,624,907,580,098,654,846,070,474,451,138,667,948,933,
112,873,109,057,864,559,213,534,771,495,707,834,224,991,177,208,652,533,287,
586,028,675,634,170,873,839,764,322,684,258,779,791,793,391,369,848,197,084,
891,558,973,496,914,852,325,255,203,106,404,310,403,343,026,439,758,978,734,
811,684,756,924,057,079,150,351,326,783,047,488,745,605,723,131,907,984,346,
369,603,358,618,170,831,850,371,753,045,184,431,279,293,202,233,018,861,238,
044,041,495,146,928,144,116,025,380,930,497,364,903,042,939,372,703,034,018,
346,188,509,828,312,941,239,806,136,615,227,562,724,006,585,037,211,418,152,
675,127,571,924,232,195,102,359,007,481,170,136,822,006,401,721,764,627,055,
979,760,145,885,283,511,414,560,441,045,175,737,848,805,144,696,823,888,018,
330,502,450,310,802,534,575,891,660,157,622,223,430,586,841,652,803,815,155,
818,751,352,197,497,229,300,207,603,192,524,604,110,291,177,328,610,530,018,
759,365,074,378,699,641,683,774,501,940,282,163,609,709,078,378,237,212,982,
348,161,948,263,716,963,207,174,294,646,080,101,917,655,806,966,389,076,711,
332,404,802,087,315,870,857,785,105,199,643,598,502,601,215,671,276,853,781,
781,769,292,265,306,315,057,349,491,865,365,366,286,936,873,833,986,484,431,
100,953,079,110,398,056,773,261,563,049,684,660,011,090,469,766,273,713,996,
354,934,944,119,166,693,186,441,264,452,374,915,370,579,911,728,422,363,466,
504,405,906,534,901,422,618,649,784,727,364,793,654,396,023,092,170,511,092,
359,068,708,592,090,550,790,322,693,303,948,493,970,536,550,941,149,242,333,
438,132,348,682,932,766,112,849,789,136,935,832,469,774,696,109,072,240,358,
624,708,423,728,151,998,541,039,354,124,512,682,678,433,920,741,834,886,239,
848,654,166,941,352,294,523,800,678,453,924,268,322,693,329,139,170,285,131,
623,120,562,060,381,070,534,374,299,348,472,157,180,685,303,147,108,080,669,
341,459,562,136,059,829,787,106,544,872,803,976,178,198,723,462,537,092,485,
616,330,079,713,054,174,736,846,830,463,165,749,057,971,727,757,255,267,322,
505,856,950,292,063,020,794,479,547,888,283,621,474,244,132,288,786,767,443,
598,325,082,255,249,171,181,809,623,422,089,866,380,200,262,147,684,403,982,
761,769,892,562,288,174,913,858,725,250,723,999,797,814,389,079,224,482,479,
501,022,674,261,079,907,736,084,696,971,520,263,767,491,151,140,283,729,557,
391,689,322,935,977,933,720,642,068,141,594,599,603,062,120,814,825,985,404,
151,382,918,257,522,604,779,236,116,777,152,260,241,594,342,588,155,397,122,
987,845,423,360,046,318,009,936,438,825,374,737,289,892,942,399,095,641,124,
368,856,208,029,824,061,528,995,883,190,178,433,737,008,698,877,900,605,281,
988,717,070,003,517,758,108,594,267,712,825,805,425,183,855,169,358,410,514,
071,130,894,242,475,208,413,874,200,418,990,868,942,140,839,486,667,795,582,
488,837,712,500,581,551,077,934,396,385,310,274,454,728,544,663,161,208,039,
686,620,172,955,656,230,278,811,152,789,284,122,830,883,284,652,061,945,627,
439,719,310,454,707,112,156,967,057,577,796,039,923,769,433,613,931,506,954,
098,897,910,496,804,341,644,400,227,604,612,177,131,990,711,442,742,997,363,
049,158,199,553,377,431,662,772,662,661,988,338,313,388,326,612,379,194,388,
045,373,789,214,403,505,639,597,581,519,761,584,938,379,712,809,670,309,304,
715,716,785,849,364,015,989,645,733,206,612,334,330,700,819,502,167,216,964,
449,525,904,711,222,168,146,818,649,823,783,493,341,200,202,503,163,526,001,
786,051,575,609,408,757,887,657,484,150,902,075,211,959,226,924,231,528,570,
699,515,413,523,921,456,924,663,878,907,319,285,476,128,499,388,982,113,532,
398,332,712,380,075,990,540,812,625,758,999,162,448,891,504,664,357,423,992,
668,964,260,548,996,998,992,124,594,244,679,310,400,835,010,837,057,023,616,
653,287,018,816,065,058,492,971,637,092,403,590,005,746,885,843,979,393,879,
360,582,381,902,191,048,722,236,627,682,748,152,988,989,951,594,265,617,338,
564,521,771,928,396,052,567,295,752,824,483,686,470,342,653,806,155,702,961,
863,510,759,861,888,696,386,546,417,903,541,323,216,487,897,864,242,317,254,
162,766,080,996,284,683,048,831,529,375,056,348,141,887,671,946,698,912,364,
120,597,511,943,109,210,504,758,227,883,531,546,963,913,248,927,348,157,241,
117,768,117,447,638,177,173,127,277,134,679,459,325,182,468,980,548,501,716,
178,527,278,840,416,186,399,731,477,560,118,710,136,684,762,671,283,072,613,
511,768,381,277,071,729,577,907,053,794,414,499,993,401,264,351,239,989,552,
448,613,727,966,694,651,439,998,384,630,163,386,436,408,491,014,768,040,946,
196,340,580,904,949,220,075,930,890,635,691,984,636,501,718,260,209,121,825,
931,480,140,000,687,673,121,091,307,367,222,500,829,339,446,698,978,056,454,
389,882,424,409,458,949,115,041,899,854,393,895,818,024,303,556,772,488,942,
621,404,667,224,117,483,185,893,388,700,033,333,952,722,607,019,454,778,539,
461,982,244,719,576,047,269,158,120,718,997,437,581,000,629,748,017,110,789,
237,959,673,883,218,870,464,560,243,904,613,619,633,055,354,628,053,651,573,
392,621,107,769,686,238,363,492,253,445,302,185,944,259,878,074,910,360,785,
203,083,566,577,922,587,798,871,407,909,280,901,462,949,399,735,029,655,414,
968,466,411,753,068,712,065,724,589,189,299,829,902,691,670,712,509,804,111,
947,703,291,291,644,432,460,288,741,762,036,768,467,471,701,726,135,582,963,
050,780,302,833,458,216,902,040,116,543,277,906,857,751,799,685,241,423,406,
837,161,190,303,998,814,850,702,869,865,482,992,311,980,683,517,559,751,601,
898,533,026,577,418,451,133,182,667,323,999,200,017,083,023,358,228,980,899,
180,763,405,924,813,775,648,976,841,266,082,938,549,405,784,754,802,905,083,
928,563,209,880,736,175,549,290,864,607,964,105,197,701,387,381,597,264,115,
079,965,840,967,612,545,811,820,274,266,777,496,328,344,052,723,727,179,620,
295,619,444,526,408,830,049,658,693,618,670,593,893,686,699,724,814,006,031,
030,963,914,012,665,510,471,445,085,399,602,751,552,206,045,090,254,276,329,
583,792,589,825,288,506,855,673,727,063,451,586,374,139,694,940,033,810,306,
842,469,004,383,897,796,156,629,808,879,009,336,647,349,489,205,877,215,341,
778,297,739,948,160,772,120,422,794,651,563,136,158,903,838,320,850,899,647,
822,916,421,893,148,557,590,934,189,033,326,110,124,011,831,618,872,684,925,
457,872,283,211,245,125,873,778,151,562,912,903,521,936,152,684,123,920,615,
371,059,982,544,742,834,112,442,021,492,898,622,640,140,213,870,239,100,973,
319,666,753,045,799,352,045,966,020,902,426,697,326,908,745,368,365,009,126,
547,780,806,919,186,117,254,057,920,863,712,655,571,821,606,997,588,607,453,
379,690,347,510,416,453,005,588,406,520,674,906,575,619,654,767,561,813,544,
849,208,079,806,995,785,481,054,853,954,145,802,360,883,133,343,277,625,691,
113,490,614,756,551,116,152,481,086,956,532,381,300,368,759,508,084,940,886,
929,408,439,946,546,901,539,309,201,472,224,339,901,022,725,059,149,645,651,
032,102,513,287,222,575,704,599,319,930,786,045,002,501,444,210,728,820,443,
303,948,374,505,767,858,407,145,530,001,547,110,682,316,167,699,821,175,596,
718,940,197,894,468,770,725,319,098,735,538,285,372,092,072,821,796,740,747,
062,234,909,190,648,483,202,971,327,982,652,083,655,812,390,222,569,650,862,
143,637,197,705,637,796,774,049,372,241,582,560,878,354,173,090,446,996,208,
965,962,980,785,566,493,066,266,274,051,001,763,685,920,407,728,623,561,296,
939,567,091,226,545,645,297,400,838,848,927,611,822,490,531,955,243,395,467,
058,295,590,088,361,930,046,557,584,976,498,570,349,030,890,784,519,442,392,
747,250,380,764,839,141,272,316,597,420,930,010,862,988,527,256,099,053,623,
769,564,103,642,473,545,616,477,656,671,081,091,510,598,141,897,093,162,694,
388,043,411,041,492,417,021,938,600,701,524,858,754,816,515,642,987,198,023,
960,312,141,304,640,472,704,461,517,201,407,244,194,856,220,153,361,127,069,
849,930,139,767,764,733,261,156,447,318,632,764,823,919,984,067,713,993,392,
218,343,539,780,892,433,863,452,208,207,038,367,315,473,186,358,107,496,817,
279,543,533,232,757,277,258,792,187,493,808,810,663,171,220,152,830,896,324,
738,027,293,660,865,989,224,921,231,925,491,043,406,559,063,866,896,933,566,
250,759,869,869,791,748,461,494,455,953,921,012,671,582,168,144,834,822,588,
307,030,295,236,533,986,818,029,371,329,506,183,304,508,757,632,273,830,986,
039,835,005,824,873,290,398,157,244,818,434,250,720,882,196,827,674,069,520,
043,561,694,460,240,085,324,057,107,193,634,051,663,353,071,160,000,875,916,
345,537,036,422,493,302,447,931,920,244,658,802,335,241,632,565,343,546,639,
001,948,915,533,284,811,026,991,655,440,677,164,549,254,984,903,866,814,122,
221,880,683,910,982,642,878,205,437,993,860,676,449,324,685,279,601,694,907,
059,570,855,411,103,642,080,286,737,263,989,101,846,904,846,154,921,184,703,
219,768,996,053,804,487,361,528,431,377,123,416,118,601,208,319,530,174,406,
549,997,812,678,524,188,077,920,219,879,882,327,512,966,767,727,150,259,595,
061,092,403,404,106,221,507,491,685,385,508,452,445,245,807,459,797,489,466,
026,587,910,482,959,543,437,914,513,355,992,756,936,014,708,180,568,263,109,
763,687,118,490,546,281,127,283,673,773,610,714,530,068,004,323,025,165,452,
016,537,073,719,519,087,796,852,774,084,203,973,470,270,653,544,433,152,365,
820,200,559,146,820,395,516,110,185,519,736,741,595,589,220,877,623,404,424,
310,376,336,407,522,660,645,424,568,592,138,797,101,247,048,206,173,763,046,
016,609,557,689,649,452,698,136,994,587,308,594,665,834,047,538,548,310,105,
565,343,136,424,182,005,962,005,389,897,551,006,615,080,316,450,936,860,346,
929,870,401,600,965,916,622,936,167,540,774,135,142,781,084,909,675,298,624,
443,982,463,538,957,583,297,847,693,822,622,101,219,789,609,134,627,410,438,
672,820,222,972,382,955,786,059,223,003,361,666,397,818,621,798,553,659,551,
038,892,188,038,786,958,265,651,777,778,711,929,175,582,687,256,647,599,894,
081,268,556,903,599,745,182,164,373,867,653,098,276,355,811,676,665,234,888,
132,052,413,172,292,605,171,368,760,320,276,995,193,581,138,602,685,472,228,
730,374,449,650,090,116,136,938,307,439,915,172,676,021,986,084,140,925,273,
369,677,538,427,378,612,676,208,951,964,586,531,082,323,392,269,756,600,600,
320,269,357,854,855,772,127,456,852,845,924,768,982,124,030,763,580,893,204,
279,023,597,016,686,583,991,764,091,347,349,598,335,474,659,789,353,591,430,
698,680,453,480,880,469,358,937,280,554,384,714,291,757,706,250,864,854,000,
576,615,570,977,035,040,218,937,736,721,937,640,732,172,899,908,352,900,041,
637,594,405,955,697,538,576,420,022,073,202,354,730,318,268,046,771,387,597,
477,279,681,309,282,173,726,210,799,193,959,694,513,114,378,093,885,911,385,
377,207,578,434,554,395,089,131,354,620,718,610,111,230,938,556,950,361,506,
585,371,808,032,512,431,337,111,807,151,746,260,753,068,237,234,075,247,649,
282,277,301,516,736,304,408,687,563,011,848,506,411,738,145,115,556,807,729,
814,475,420,304,605,765,497,683,976,258,199,051,963,359,400,585,874,056,316,
632,782,309,126,379,552,215,601,939,917,172,990,445,538,646,001,667,179,783,
013,409,788,125,491,271,745,192,288,393,046,955,946,261,111,233,414,254,389,
561,001,693,260,063,271,422,668,162,388,830,775,581,586,033,737,115,119,810,
549,257,615,565,020,668,072,259,211,563,523,984,290,177,737,503,147,746,633,
228,306,752,764,639,242,145,675,423,196,621,205,422,572,822,034,698,906,509,
233,804,665,075,294,543,392,862,707,132,873,988,026,699,129,385,004,401,564,
043,552,840,913,508,479,526,187,475,212,911,637,054,529,556,185,175,513,616,
779,617,291,986,556,139,330,767,597,063,041,568,802,523,908,305,512,046,742,
956,214,833,116,141,592,730,123,110,058,273,488,239,009,184,308,633,938,850,
116,059,280,557,436,045,672,460,030,251,430,803,831,996,008,864,279,896,989,
538,832,545,083,451,292,206,812,753,060,741,181,716,662,088,426,602,882,565,
759,521,078,139,825,893,039,198,183,999,651,876,373,583,299,922,316,005,778,
038,834,242,647,055,121,906,004,174,312,525,983,554,834,295,697,113,519,698,
838,916,177,078,387,976,974,305,364,627,642,814,236,433,885,284,478,928,780,
318,282,650,632,422,561,737,309,737,368,608,390,705,469,351,887,633,377,032,
587,893,930,448,997,163,648,723,612,352,457,461,408,252,057,961,372,937,124,
177,229,504,575,320,150,842,273,582,636,970,350,804,693,260,951,005,557,846,
145,158,295,983,293,206,748,339,207,912,992,501,593,240,271,663,573,493,806,
204,816,470,473,628,566,896,052,613,586,620,769,189,358,685,095,270,782,380,
937,588,317,026,740,561,197,409,320,792,801,543,605,730,372,850,759,748,070,
411,357,268,947,146,183,952,102,194,902,185,072,259,263,804,539,470,665,608,
391,892,160,230,902,251,009,292,975,260,492,521,900,883,983,992,632,352,694,
061,720,167,085,144,894,863,732,376,369,484,800,009,315,869,908,461,388,267,
962,492,148,545,955,402,378,790,156,097,413,071,548,470,542,118,969,784,439,
168,599,438,742,822,838,025,085,506,017,013,607,251,754,383,887,134,358,384,
548,240,016,119,602,127,372,569,808,463,889,086,404,869,049,803,726,365,750,
499,660,030,756,941,602,887,515,915,451,882,949,998,402,886,016,291,705,173,
492,042,025,906,429,584,832,493,326,991,920,217,986,293,956,355,131,648,383,
930,914,676,001,152,077,687,715,741,271,480,973,448,119,144,239,196,883,618,
214,829,925,129,628,465,814,899,319,935,647,510,586,503,173,175,791,625,093,
897,808,218,791,259,722,714,974,826,734,130,433,907,405,835,314,535,775,513,
450,621,586,851,783,540,495,334,927,143,759,940,251,282,930,121,822,563,551,
947,347,441,684,188,821,031,019,560,798,285,057,316,749,455,630,103,794,741,
396,043,440,181,952,948,012,201,912,439,311,781,745,468,481,342,848,987,517,
715,474,346,343,856,489,400,532,942,854,637,447,426,384,669,448,848,906,138,
780,289,262,025,544,499,781,913,535,919,761,258,833,390,997,105,129,259,996,
136,869,307,198,543,595,163,604,684,067,767,945,336,168,197,543,503,377,160,
386,041,216,565,373,323,233,020,258,392,056,970,581,728,202,383,289,755,398,
797,728,322,059,580,916,880,958,227,774,910,775,076,514,602,991,888,388,611,
457,169,876,464,367,962,466,511,384,579,875,281,876,074,879,456,851,157,040,
712,658,441,499,203,214,801,422,838,957,969,229,186,736,492,674,313,493,947,
240,472,105,583,159,785,010,946,541,260,359,863,356,170,728,645,125,489,520,
461,116,582,374,309,388,766,670,486,925,518,024,517,845,276,271,203,312,925,
051,397,088,652,626,904,470,596,772,304,681,877,225,629,635,227,948,264,082,
453,394,646,369,036,431,198,040,144,779,755,973,793,270,581,102,326,122,809,
255,534,229,363,557,038,937,664,498,070,754,806,637,463,932,331,343,577,652,
936,296,992,124,465,266,883,430,452,054,717,061,237,218,583,468,923,224,234,
473,982,498,283,907,426,947,936,362,020,456,891,079,097,659,323,255,810,354,
991,600,216,328,060,892,135,508,929,474,569,882,616,853,166,677,972,314,627,
080,649,057,145,750,818,411,760,005,307,172,510,339,411,753,744,631,790,827,
116,466,848,133,702,876,843,368,786,086,008,501,992,307,575,553,083,455,425,
873,326,318,366,769,807,247,452,851,750,100,524,688,399,793,488,825,455,912,
507,981,553,739,584,567,177,252,920,554,618,130,346,092,302,381,785,470,500,
544,208,239,457,350,153,370,679,536,247,340,729,169,234,043,420,616,805,748,
944,253,886,908,252,237,321,530,483,149,668,912,315,844,419,736,651,166,394,
499,084,725,976,473,198,808,303,871,420,297,649,359,591,058,311,900,312,316,
588,089,657,434,493,583,431,774,196,949,893,928,510,965,479,426,639,551,442,
688,597,565,788,708,960,612,331,524,797,602,197,891,285,836,736,314,870,225,
034,606,200,734,612,071,036,614,175,586,918,210,134,125,976,094,551,121,498,
491,196,382,975,177,042,708,639,130,291,024,932,641,986,501,917,306,279,197,
816,367,343,281,782,539,205,469,149,961,701,092,224,219,810,477,354,281,192,
988,391,314,025,848,414,252,348,600,549,359,231,633,707,801,116,554,550,023,
619,552,279,596,719,200,496,648,192,586,601,641,388,427,628,808,378,786,049,
034,680,112,202,855,020,406,569,788,492,008,660,876,526,514,972,757,626,140,
366,234,152,895,634,946,414,501,650,740,397,062,912,108,191,336,481,464,888,
360,929,221,854,803,562,351,569,243,715,438,670,404,383,301,311,728,661,776,
985,037,284,298,847,497,049,472,526,020,290,560,673,926,369,159,709,254,782,
182,990,592,418,390,218,431,810,064,859,731,535,015,163,569,665,946,750,242,
402,962,797,848,162,932,503,115,030,428,302,906,130,574,339,585,286,050,884,
924,324,355,776,616,357,049,479,424,050,004,075,481,479,663,754,582,588,642,
290,473,529,381,531,548,469,974,885,126,352,729,887,123,655,175,828,360,895,
645,596,695,758,977,615,752,182,533,809,675,956,466,570,791,688,585,933,428,
097,242,925,240,901,512,626,667,266,232,442,882,777,431,027,560,916,381,836,
210,322,675,442,697,997,637,642,264,273,611,925,461,385,448,686,512,127,280,
969,490,333,159,297,683,970,263,782,990,958,063,712,492,280,509,900,273,113,
330,869,596,429,859,464,486,705,589,737,353,300,655,597,689,250,284,926,274,
613,806,992,061,857,383,730,509,016,303,301,940,514,633,791,439,816,024,828,
471,584,983,153,196,688,622,044,501,404,615,940,204,848,320,502,997,344,668,
325,417,481,140,614,943,294,664,349,602,449,769,368,407,178,921,928,066,326,
387,016,427,997,077,511,370,063,567,653,481,587,159,113,597,925,003,497,528,
334,707,528,924,162,792,938,940,220,765,555,212,665,432,968,635,648,141,101,
911,720,501,001,953,211,633,182,991,727,373,549,036,296,561,693,036,968,059,
958,522,669,153,121,029,740,579,824,060,150,150,638,342,325,879,515,061,203,
887,720,454,460,448,413,636,464,849,610,299,863,062,937,179,022,876,103,012,
077,576,932,301,638,160,620,836,247,819,393,039,502,490,601,746,420,029,848,
301,599,203,367,427,182,830,432,571,607,791,759,373,672,136,595,219,136,285,
057,507,764,526,501,952,910,385,695,883,407,386,685,176,431,995,970,187,938,
382,781,155,340,820,423,080,645,485,004,635,923,320,058,566,795,492,876,184,
780,665,065,056,092,994,119,678,057,118,483,595,381,454,058,673,549,648,075,
777,456,812,161,852,262,444,436,827,645,534,360,186,265,127,689,979,195,015,
695,017,268,350,521,619,173,298,095,188,047,143,587,260,761,969,856,680,678,
984,626,798,293,280,487,491,036,236,204,384,192,902,817,499,484,670,109,273,
166,381,454,585,743,149,120,210,493,030,567,009,874,894,817,553,264,085,395,
247,955,868,165,846,727,196,498,191,355,942,340,899,588,110,543,821,982,588,
103,202,548,831,609,335,532,243,491,944,916,299,621,758,569,863,731,571,619,
725,116,127,906,636,162,815,068,638,495,475,551,484,784,488,729,604,763,372,
625,511,718,792,279,338,651,445,085,159,832,498,262,624,935,479,914,868,647,
238,473,454,497,274,121,256,831,449,107,357,749,645,571,471,882,521,434,327,
487,737,551,320,028,182,564,120,602,614,183,035,151,821,236,601,572,221,972,
120,344,608,990,915,217,251,762,832,557,135,139,533,215,523,145,407,446,841,
089,643,709,572,591,292,970,803,731,192,927,899,957,651,217,856,001,468,602,
164,861,727,195,762,075,517,792,989,537,797,994,952,629,301,197,408,509,041,
879,109,902,667,952,975,320,071,996,667,554,169,228,213,236,228,950,792,563,
746,637,266,914,745,303,529,898,267,566,676,196,622,041,876,711,192,693,777,
562,841,931,720,812,630,864,701,878,277,165,352,778,589,545,032,824,111,019,
208,785,507,351,548,765,155,514,500,407,724,890,583,718,400,015,254,561,754,
764,911,286,705,790,026,671,384,284,293,493,641,045,038,810,963,702,819,502,
224,886,740,356,476,830,026,708,122,473,123,081,564,039,716,599,371,130,434,
118,172,839,356,024,578,758,477,178,283,004,392,717,982,367,468,412,329,143,
441,038,744,013,085,218,647,902,120,265,613,020,664,260,639,380,062,281,003,
285,596,500,737,368,264,207,231,073,049,736,203,599,293,658,227,039,905,124,
336,426,863,020,914,386,295,583,818,571,244,285,206,397,407,795,734,021,158,
194,087,489,217,470,602,377,692,678,097,673,049,818,538,291,482,086,252,683,
047,075,298,803,344,936,568,144,079,785,583,862,079,637,283,570,493,548,376,
339,313,115,374,377,281,314,774,066,802,581,167,322,038,126,522,239,659,873,
051,314,448,548,046,876,408,033,087,828,296,719,927,777,550,209,896,303,444,
782,705,866,765,604,883,323,394,401,828,350,930,953,427,587,000,745,781,750,
102,127,349,957,581,449,161,973,595,053,800,490,621,390,725,626,749,309,909,
782,186,736,321,941,403,469,488,349,085,001,887,578,436,532,821,713,006,237,
815,434,048,824,464,941,319,616,395,610,911,367,251,575,256,365,921,183,784,
574,636,968,648,351,731,264,792,677,618,136,137,646,561,039,922,165,484,784,
949,624,460,231,809,254,480,884,405,644,192,932,628,424,949,368,674,221,476,
006,498,229,761,120,893,832,876,478,968,689,702,053,003,606,935,841,662,387,
413,774,969,454,301,847,371,269,789,232,605,498,260,843,213,610,759,409,308,
229,965,178,709,419,326,847,768,144,941,997,555,387,923,223,568,759,378,622,
504,495,389,572,809,634,222,213,243,531,640,402,266,040,897,603,818,951,537,
940,064,255,519,144,302,096,145,053,343,310,934,791,191,383,888,076,206,788,
710,195,204,121,642,321,099,227,117,741,678,613,196,940,489,590,813,199,164,
757,992,842,469,773,197,568,295,657,983,494,151,010,166,330,157,127,058,039,
575,724,606,835,669,046,169,017,347,434,190,123,528,386,462,788,395,357,448,
193,784,421,466,573,952,113,808,245,299,393,126,484,566,255,339,352,957,886,
261,674,236,855,988,616,582,888,864,641,712,450,570,254,497,380,824,161,893,
772,880,247,634,705,660,303,695,088,579,562,477,347,628,403,415,907,735,056,
678,936,781,057,495,533,041,115,751,171,424,478,251,118,968,731,825,268,842,
401,445,065,292,496,092,027,252,349,397,980,802,154,363,799,336,219,107,163,
585,171,254,278,954,369,236,568,728,063,494,525,871,186,126,950,951,078,340,
836,006,463,310,914,532,275,690,606,952,439,860,076,103,116,496,202,887,570,
068,222,527,895,756,913,468,150,169,609,475,190,741,553,697,756,945,613,643,
194,209,230,321,805,940,526,972,232,770,918,278,863,367,798,320,482,325,937,
216,950,348,200,023,475,629,233,542,363,662,631,405,851,629,423,658,522,784,
744,863,909,064,047,428,266,321,515,509,201,173,678,422,895,400,025,179,930,
132,398,259,760,347,305,868,781,532,904,877,192,188,265,427,228,475,574,657,
101,940,348,813,925,019,465,841,244,666,501,892,429,693,597,174,998,524,073,
879,394,135,599,561,721,036,675,643,784,550,012,179,230,739,928,636,535,508,
799,471,235,290,326,211,461,075,133,039,462,607,340,494,185,590,708,289,397,
907,638,959,287,156,062,060,295,174,428,274,294,633,884,477,476,266,398,924,
248,604,951,763,333,772,554,343,912,485,954,515,185,483,490,081,489,722,015,
337,443,792,593,262,677,286,418,110,816,636,893,092,814,645,733,907,802,125,
914,596,158,061,910,232,797,151,379,276,833,850,333,338,903,732,933,575,345,
076,494,030,199,807,618,334,540,965,011,154,127,572,321,589,292,939,187,254,
512,240,343,310,468,782,236,252,096,134,091,083,428,332,625,728,485,952,561,
600,636,084,591,050,916,258,655,428,969,267,405,851,388,615,110,280,886,861,
154,459,718,640,163,740,653,374,793,249,473,329,637,338,745,953,169,098,434,
055,046,408,366,013,052,109,778,313,489,888,789,152,880,023,507,998,814,214,
700,848,273,247,971,618,297,604,515,728,653,435,769,393,395,834,100,393,712,
897,649,340,821,637,446,686,605,852,741,281,797,185,631,424,094,587,242,243,
664,234,704,869,634,274,060,597,380,784,123,256,649,942,016,823,091,847,581,
139,763,411,766,495,485,973,663,632,910,044,236,312,400,709,664,347,586,819,
969,486,308,710,802,108,312,464,865,921,073,946,026,792,037,007,616,363,253,
717,975,725,842,263,882,189,485,453,396,269,814,593,957,512,250,490,744,770,
961,090,880,328,349,238,205,440,179,329,010,131,729,615,438,289,023,861,996,
870,454,415,915,394,096,953,937,623,012,431,203,896,301,481,421,345,151,387,
959,022,279,290,758,944,607,531,017,028,367,449,642,474,355,162,278,518,009,
645,988,797,449,954,409,138,016,174,838,390,725,135,145,467,265,283,618,405,
193,168,159,385,473,209,686,818,452,972,204,055,508,109,702,118,916,283,569,
332,871,600,381,469,749,777,443,294,926,905,274,292,439,926,405,531,111,429,
061,094,089,851,420,981,174,130,265,884,670,368,687,880,567,474,124,119,937,
162,654,416,262,116,899,725,654,595,920,034,297,909,531,696,444,943,056,494,
463,324,586,658,404,505,634,257,404,944,708,282,483,090,367,444,578,611,979,
055,637,840,173,694,225,072,933,240,214,562,411,651,609,163,101,907,814,890,
984,435,495,761,701,466,393,506,989,780,978,650,870,586,935,171,072,525,387,
499,435,211,658,984,194,016,132,519,923,261,643,562,309,678,756,705,510,263,
073,869,818,872,521,242,563,805,387,400,600,102,926,612,494,673,662,739,509,
160,088,516,034,386,795,178,912,449,934,224,082,220,230,466,970,866,184,623,
543,202,899,319,493,689,867,221,101,400,746,335,654,812,003,910,656,338,111,
659,779,334,698,452,545,931,570,499,134,563,546,703,979,955,318,467,953,643,
026,673,101,335,259,150,304,401,151,926,134,771,289,830,257,440,055,381,118,
732,398,186,930,269,730,637,234,239,491,135,572,255,683,472,959,424,649,692,
514,151,615,051,651,461,191,166,323,128,337,893,196,184,034,704,133,872,169,
513,024,579,250,606,476,529,237,447,930,166,138,242,140,937,464,690,691,688,
681,788,625,460,417,156,965,586,371,562,121,508,012,281,596,094,070,543,504,
555,907,851,522,655,354,570,650,910,354,851,738,744,679,894,220,909,891,524,
985,400,094,052,760,296,900,584,758,203,711,383,650,451,358,381,288,862,452,
935,368,915,723,526,694,076,239,714,628,420,469,890,018,401,126,782,428,013,
649,967,011,480,503,619,680,687,765,941,875,999,190,329,606,719,951,163,828,
304,283,478,331,147,979,861,251,890,904,720,468,499,813,128,726,329,852,584,
878,649,833,678,406,616,399,362,238,554,085,587,843,994,536,716,424,675,654,
769,262,855,176,478,646,087,888,751,967,440,853,179,387,407,869,928,314,125,
987,881,807,775,605,792,358,119,758,917,724,023,661,273,277,260,832,259,840,
956,640,289,281,537,209,265,514,609,507,938,294,020,852,425,593,706,830,816,
248,948,994,382,276,216,480,767,489,201,225,803,554,035,006,720,762,907,704,
782,850,767,729,969,171,268,326,947,326,182,250,678,693,877,908,490,944,520,
424,394,361,532,709,991,005,580,065,735,934,537,359,301,849,052,985,376,608,
601,613,603,703,263,192,757,808,377,362,971,213,146,406,232,073,806,819,766,
363,970,915,067,656,846,100,355,509,604,454,207,517,083,131,585,834,593,056,
334,637,458,026,839,278,661,754,378,196,418,564,591,461,389,747,586,322,431,
412,235,931,378,285,954,681,582,855,952,482,000,124,491,409,933,638,107,875,
953,397,861,911,466,466,272,000,529,508,127,557,804,638,404,292,371,244,926,
203,732,363,611,982,094,068,581,387,656,104,073,136,719,164,591,963,978,628,
034,787,045,923,610,741,864,710,106,776,262,732,951,347,904,664,168,404,365,
131,036,956,164,271,148,355,754,500,259,415,542,641,405,169,161,306,414,691,
656,012,917,996,975,943,008,497,301,179,754,822,946,905,217,869,507,128,774,
453,689,841,437,986,884,658,739,692,507,316,131,532,056,024,603,756,401,248,
825,539,528,026,132,157,909,759,481,497,415,185,183,793,546,389,986,960,332,
485,572,287,684,338,367,971,251,481,755,525,971,817,282,077,989,920,101,218,
818,409,639,233,221,293,826,625,742,937,588,990,642,123,967,747,924,508,988,
829,813,657,144,856,520,077,951,791,719,291,247,051,038,429,566,665,156,264,
413,593,835,731,011,151,904,375,524,508,262,156,897,522,343,393,100,077,654,
039,313,319,231,254,508,361,061,590,836,526,507,854,616,795,897,496,995,209,
164,476,436,599,499,766,219,378,168,993,081,906,932,715,375,696,714,122,908,
960,360,044,631,581,240,369,443,939,371,765,874,370,983,468,354,646,766,885,
908,031,980,780,102,144,118,380,774,098,303,491,646,668,197,114,213,294,746,
505,351,900,485,394,523,081,737,608,595,018,228,538,723,876,993,977,512,436,
024,219,807,040,029,584,841,986,210,959,259,912,154,107,471,618,736,884,847,
222,045,098,386,677,160,992,180,389,305,637,210,574,048,067,901,682,847,939,
381,085,017,486,353,155,021,712,989,474,012,541,781,896,142,177,801,400,504,
202,917,390,568,125,644,512,060,530,890,910,111,728,193,584,555,355,643,462,
780,423,509,208,546,084,808,350,071,468,199,097,447,110,702,363,143,611,608,
066,026,494,973,047,351,098,282,871,163,615,276,005,450,219,943,509,498,297,
012,256,294,073,738,978,147,310,279,451,164,671,129,901,667,607,368,058,494,
080,187,478,424,236,147,082,382,337,752,784,890,066,921,053,026,647,858,349,
031,251,254,464,775,690,683,259,671,582,790,269,266,123,627,865,814,424,287,
537,221,394,541,807,905,192,630,041,843,057,731,163,485,644,962,492,890,780,
040,858,596,252,643,452,114,077,291,617,423,118,904,143,184,126,680,904,261,
778,192,256,519,684,930,069,406,342,548,040,958,251,089,048,407,927,529,122,
917,475,279,174,805,125,495,370,050,217,313,289,035,375,651,303,250,291,181,
112,934,360,274,613,766,621,396,172,204,530,490,902,653,637,777,343,610,021,
192,800,679,418,566,902,655,962,596,265,020,224,642,616,442,780,638,871,977,
059,379,629,510,043,981,035,873,972,947,473,033,295,579,576,824,501,699,276,
097,175,690,080,434,581,093,873,079,098,721,971,725,076,514,068,271,098,430,
966,838,076,356,458,718,740,305,989,195,655,937,524,681,594,376,101,364,007,
663,843,996,502,562,411,921,206,603,310,097,339,251,349,539,399,266,019,096,
717,963,973,028,507,255,616,921,108,762,546,725,066,439,935,424,322,075,413,
872,441,497,991,022,210,803,231,490,050,256,213,097,026,182,376,554,150,942,
373,173,967,756,937,956,270,553,665,223,809,357,807,296,696,792,062,120,687,
843,485,825,052,717,221,853,790,176,266,628,486,185,937,303,142,176,216,747,
776,070,282,238,930,557,198,222,696,656,719,388,882,596,941,270,079,071,623,
076,785,048,110,534,170,487,164,068,401,178,431,387,743,096,886,910,890,923,
448,031,423,777,795,553,994,298,199,749,755,077,756,007,430,437,362,544,676,
942,433,672,868,203,231,127,169,412,646,836,984,431,924,894,350,420,224,610,
546,025,961,940,469,256,390,000,057,057,221,307,693,062,391,846,239,694,879,
639,409,237,390,506,750,093,020,846,763,827,993,536,719,620,332,438,075,927,
343,339,863,611,592,764,811,641,441,713,882,153,125,824,996,062,533,385,190,
942,272,898,178,252,174,160,324,038,620,553,396,314,645,733,639,389,069,380,
417,241,859,077,344,262,702,903,288,652,410,989,745,229,553,915,597,100,902,
984,814,075,246,661,201,558,643,040,643,911,174,233,555,522,861,787,411,768,
026,300,367,845,537,896,519,704,041,973,959,585,523,653,050,307,240,989,449,
704,076,503,772,645,288,425,441,535,197,479,477,425,294,353,728,861,413,003,
019,478,501,549,360,339,114,650,063,924,369,060,228,497,678,663,782,782,118,
357,213,490,666,122,285,413,618,461,461,928,452,984,972,752,260,308,246,258,
054,049,319,055,685,481,297,148,194,145,882,390,514,000,516,704,783,155,331,
538,698,461,410,615,840,125,971,611,194,869,988,297,316,748,187,491,325,232,
361,218,140,851,564,634,936,113,995,822,037,134,981,128,896,002,494,571,930,
203,662,046,398,452,511,510,402,241,466,020,728,505,044,391,038,243,101,271,
069,378,506,052,062,812,571,552,135,330,150,308,405,869,875,108,242,290,115,
853,586,628,246,275,621,256,397,185,564,459,919,405,366,526,509,693,261,427,
200,518,510,239,377,591,377,581,434,616,242,392,188,277,602,450,343,225,092,
718,760,964,984,268,008,856,423,033,552,445,441,758,623,312,463,006,333,667,
718,831,150,181,489,624,598,537,847,802,025,360,275,286,531,995,640,853,271,
849,170,632,005,506,730,102,551,791,652,011,690,017,401,449,789,864,876,669,
606,057,344,583,751,243,929,926,622,508,245,607,743,149,916,195,148,993,814,
196,054,259,850,457,098,239,145,419,887,889,099,986,354,737,013,192,697,515,
967,281,773,249,340,799,498,785,422,189,768,325,629,690,898,104,005,847,407,
337,553,490,240,002,215,059,775,637,444,762,352,140,087,319,516,787,703,976,
485,447,427,885,105,354,175,895,951,402,738,863,422,936,686,442,664,889,734,
593,672,405,722,465,480,180,785,894,956,264,074,472,946,976,841,321,732,548,
983,143,013,445,601,946,040,077,938,581,776,333,854,341,356,299,295,064,428,
120,908,880,660,096,514,799,850,992,138,381,484,387,335,923,275,741,418,428,
985,895,460,603,341,859,617,962,114,680,861,630,968,163,972,891,189,608,910,
693,531,342,823,229,702,023,488,971,921,183,061,403,216,670,134,320,999,366,
347,058,157,243,144,061,627,187,240,696,271,491,822,430,242,178,911,689,173,
272,897,888,260,215,416,202,150,172,881,358,554,384,190,149,262,159,623,514,
599,445,861,771,102,091,767,998,506,981,781,414,251,618,354,115,805,914,957,
410,154,434,808,095,373,213,354,611,878,625,743,009,703,492,588,406,122,647,
166,852,089,001,191,544,542,405,396,621,482,102,207,324,069,815,814,112,209,
301,487,895,770,689,670,016,194,360,340,724,100,541,013,685,842,741,790,256,
213,491,005,438,987,534,913,326,076,529,340,954,656,209,379,634,417,486,942,
477,746,040,106,115,630,122,128,700,030,464,027,863,693,097,541,349,524,740,
868,947,415,692,622,900,152,911,219,416,082,789,072,616,500,778,011,958,267,
494,554,296,990,469,078,296,411,000,756,791,594,004,112,992,839,344,062,037,
335,655,272,055,438,072,927,435,208,860,849,618,569,605,984,914,151,325,124,
713,903,344,882,826,952,693,532,961,629,190,189,449,256,556,799,108,862,780,
818,178,913,947,316,749,628,353,942,192,837,234,880,959,863,223,879,831,128,
377,795,887,645,559,006,648,940,294,794,711,273,663,773,117,347,404,436,991,
883,620,833,899,896,249,308,995,656,697,211,062,076,142,024,259,376,336,953,
610,890,803,951,808,619,191,028,707,524,495,900,094,836,003,517,903,119,940,
544,962,496,566,973,249,397,330,963,185,134,938,424,884,815,401,636,473,671,
105,175,506,733,797,654,650,782,009,177,122,305,485,313,503,407,389,481,865,
399,108,735,600,712,577,540,416,898,530,969,698,507,532,954,695,370,879,477,
321,625,236,044,372,751,931,877,797,516,744,160,769,508,768,844,260,215,676,
704,622,583,594,707,709,374,025,760,358,004,571,518,319,567,474,928,178,294,
197,380,617,837,569,974,130,299,016,943,455,113,717,447,430,029,644,261,296,
662,912,081,696,673,977,437,373,987,440,612,331,191,765,781,040,491,462,884,
232,366,545,153,974,617,299,414,924,046,409,373,883,913,446,033,862,638,167,
341,917,417,679,331,473,179,037,727,401,886,537,158,313,668,587,984,626,955,
447,697,959,573,964,720,117,120,816,986,743,768,048,862,576,898,097,451,124,
217,666,160,252,864,834,097,001,292,555,662,948,414,004,368,697,505,007,688,
755,863,349,109,731,817,306,798,186,541,722,935,964,131,298,625,666,571,184,
013,599,321,083,547,135,991,668,867,509,873,573,585,553,396,567,604,632,400,
635,455,977,296,148,601,557,645,552,507,446,788,710,427,753,656,127,664,397,
739,178,254,497,516,404,021,671,371,610,062,436,987,469,554,190,916,111,049,
661,544,681,448,085,271,803,505,895,564,583,329,815,878,044,819,611,225,284,
310,913,235,453,358,087,440,024,221,535,441,358,820,730,378,373,166,997,300,
929,746,598,468,812,351,552,984,898,339,473,530,561,471,790,599,560,749,102,
304,377,626,076,900,253,258,198,650,104,552,792,081,793,396,795,132,322,652,
269,199,242,332,283,279,239,995,013,567,383,020,403,862,531,115,246,542,751,
774,595,781,210,990,551,262,253,327,119,029,746,278,323,222,887,302,899,041,
850,568,173,486,434,383,397,260,058,457,883,321,234,640,817,435,462,037,223,
611,248,664,182,865,084,228,559,521,666,728,641,943,705,423,487,472,437,375,
934,253,355,610,586,296,997,314,812,157,908,735,184,196,522,304,253,439,348,
580,354,456,591,061,488,479,597,203,189,038,653,411,833,659,626,964,845,606,
230,877,468,752,007,972,578,157,338,571,490,698,150,715,775,818,320,614,212,
434,010,889,159,157,144,103,260,258,474,310,706,940,496,873,230,085,901,529,
889,478,933,381,547,185,787,821,035,727,097,093,590,609,124,902,240,308,410,
967,910,113,838,656,628,968,282,345,652,831,384,726,220,616,628,739,261,476,
469,930,094,668,633,430,430,513,067,126,221,450,609,692,373,917,313,505,161,
444,995,620,666,789,871,448,898,132,123,694,097,593,431,981,724,168,900,942,
350,158,724,026,730,487,390,414,187,617,730,564,883,752,926,716,914,756,785,
834,841,734,268,934,918,675,454,950,782,616,621,419,256,750,980,619,403,686,
842,352,920,090,893,936,680,316,177,844,924,399,430,366,721,703,313,499,446,
823,775,627,832,662,734,964,608,726,760,338,135,498,430,223,893,421,696,604,
113,668,807,684,486,359,461,107,194,159,765,784,539,670,626,569,598,939,276,
322,035,654,542,854,423,155,357,481,232,498,799,602,823,161,392,672,874,064,
800,593,503,810,471,459,567,084,433,352,359,227,809,355,111,924,109,110,885,
234,025,383,713,891,751,550,667,033,391,588,190,002,202,450,739,998,080,106,
204,579,715,029,514,029,940,630,244,695,541,070,247,752,147,527,749,121,611,
512,404,747,861,101,443,917,232,452,954,267,432,674,278,737,761,872,992,678,
826,461,091,808,055,915,998,626,022,267,738,641,908,579,043,339,205,346,347,
128,389,148,769,602,361,943,668,345,565,719,923,356,981,263,438,367,467,774,
190,706,051,786,546,556,560,700,149,962,976,253,518,496,968,237,093,536,226,
874,480,978,013,644,425,604,268,752,595,434,997,228,673,409,856,753,095,078,
945,344,244,308,576,604,965,929,713,670,820,376,596,239,654,683,478,666,699,
658,340,392,518,894,600,012,463,618,340,682,965,184,140,145,810,639,059,944,
651,283,698,511,849,026,551,299,695,570,958,211,631,788,142,955,949,154,991,
021,901,310,506,426,159,218,518,597,409,793,657,124,037,308,965,967,351,013,
514,453,863,630,113,955,997,675,248,295,624,488,018,674,185,038,394,821,858,
659,429,748,401,059,597,382,641,498,456,075,167,464,513,814,705,916,697,947,
397,972,693,251,039,097,456,471,957,284,727,573,689,965,515,774,702,054,238,
767,931,820,775,449,995,349,054,744,121,440,299,722,993,135,313,080,946,835,
093,747,723,504,129,863,467,526,706,751,825,639,737,699,224,221,376,384,260,
463,721,632,462,093,129,231,213,295,332,612,209,044,711,420,960,935,518,449,
962,848,059,332,428,007,962,099,258,063,783,666,967,733,717,465,806,663,995,
952,657,325,939,335,805,030,125,587,862,012,948,887,418,873,523,694,225,801,
887,880,843,559,319,431,732,875,997,418,499,244,682,547,590,489,536,602,290,
671,527,395,563,270,981,383,866,285,287,851,877,409,233,267,970,294,682,253,
840,934,749,074,897,537,845,934,579,481,447,210,123,686,746,501,450,777,822,
579,289,499,896,196,310,392,525,606,271,437,690,250,511,669,823,191,872,208,
377,290,748,605,508,263,349,544,388,192,123,922,728,627,165,596,561,491,753,
683,230,446,964,050,818,149,187,507,869,693,260,992,720,821,027,840,779,838,
005,949,071,278,378,165,157,711,715,043,503,495,984,683,472,046,920,118,880,
968,224,654,267,896,221,936,202,671,260,525,271,011,723,193,574,788,059,151,
045,074,068,605,019,352,885,523,441,786,235,268,350,785,915,543,925,477,777,
758,114,775,839,274,189,381,252,465,766,777,604,588,157,347,078,949,645,090,
576,672,481,959,714,168,475,302,830,781,447,884,128,946,924,577,824,444,145,
271,946,319,957,138,667,565,393,187,241,167,879,158,742,527,281,067,312,085,
573,268,825,519,534,909,107,956,402,419,978,435,788,058,929,567,618,611,473,
299,360,014,547,661,894,152,716,814,562,459,504,031,362,920,300,947,783,308,
535,278,755,416,948,583,940,407,169,587,369,070,582,166,603,281,426,340,482,
541,583,213,711,902,912,240,765,024,734,537,740,488,325,533,488,903,371,695,
822,327,013,714,704,194,519,409,278,815,683,614,957,695,256,281,117,682,879,
656,269,981,967,716,570,873,909,833,225,472,705,669,446,521,624,204,978,927,
959,633,094,630,786,852,421,726,821,155,304,048,071,815,565,239,093,056,589,
042,238,908,454,076,875,527,945,485,820,980,750,047,192,696,737,537,575,637,
325,099,312,873,302,562,651,774,467,802,080,735,055,014,092,534,575,163,939,
735,661,428,304,264,562,971,498,905,491,471,155,483,064,643,737,387,824,761,
509,386,421,133,941,936,476,281,722,651,001,931,459,952,660,905,865,056,594,
883,503,051,548,953,649,808,517,390,189,148,981,788,063,934,529,936,822,826,
000,815,121,647,538,068,882,038,920,895,396,839,036,789,941,218,955,463,320,
672,156,249,172,762,154,917,785,478,511,747,577,590,902,937,679,240,769,748,
016,553,721,227,039,143,893,298,470,688,429,516,058,625,294,314,923,217,564,
146,030,438,547,462,616,461,637,673,426,534,169,590,931,993,535,840,021,250,
423,267,022,332,346,127,976,366,392,047,250,943,349,915,307,340,269,203,697,
618,075,545,629,577,033,390,534,577,130,298,550,862,398,432,801,377,469,342,
187,015,778,401,554,969,319,753,942,114,165,062,955,949,140,484,511,937,888,
981,978,394,987,575,852,876,479,937,616,505,936,032,843,907,381,716,939,812,
264,358,322,672,364,824,620,615,089,542,471,907,330,771,348,138,556,558,889,
025,788,683,259,000,072,841,369,498,978,299,952,469,545,835,199,791,203,732,
236,466,979,631,348,013,593,465,080,248,043,466,008,321,809,898,480,420,368,
374,216,564,978,379,664,308,697,300,938,921,084,244,030,189,499,481,663,466,
996,840,923,141,042,266,750,835,065,970,055,579,896,606,023,406,835,908,383,
210,574,823,398,279,594,986,822,248,764,938,808,523,817,664,294,425,836,384,
645,710,712,246,066,562,351,400,453,224,786,814,148,227,872,999,233,160,596,
660,766,956,360,424,681,111,721,115,683,843,196,054,239,131,805,281,219,778,
494,089,256,894,735,673,055,097,197,216,988,500,192,253,965,593,583,875,222,
424,127,521,025,981,436,668,801,816,521,972,159,184,341,571,582,362,439,023,
051,472,237,793,353,059,456,290,577,525,224,669,527,424,353,178,780,545,107,
420,165,129,545,016,983,404,466,589,447,763,996,203,783,572,223,917,368,726,
204,698,904,198,731,813,164,601,327,649,158,539,704,628,890,276,726,423,415,
172,025,330,368,003,202,681,896,626,551,807,027,429,157,238,906,915,777,241,
926,578,252,942,076,288,305,599,984,970,388,969,462,682,070,885,825,707,625,
284,645,836,426,674,902,093,333,723,851,142,965,234,506,000,960,008,984,276,
103,408,956,855,750,993,574,506,921,209,714,236,873,509,889,096,009,402,506,
461,167,001,716,116,312,137,679,643,078,750,697,973,462,225,201,762,980,878,
770,842,501,364,044,973,284,261,358,974,130,585,512,648,363,961,710,267,152,
060,912,568,551,775,955,898,134,880,171,920,863,748,784,116,066,873,720,631,
327,450,610,658,330,139,915,797,886,116,008,305,533,928,576,724,922,890,360,
145,592,815,801,084,414,217,948,214,551,149,349,638,113,094,910,555,982,381,
935,027,260,845,729,989,345,080,136,994,200,607,450,954,880,159,474,624,376,
162,548,170,157,503,357,175,701,691,956,788,804,149,147,122,198,611,083,271,
396,124,785,380,769,429,221,936,246,019,951,943,202,930,631,561,403,963,663,
046,060,714,104,635,577,908,545,341,701,516,619,759,496,845,720,487,455,245,
625,053,425,178,211,501,943,992,182,212,064,098,746,669,272,046,325,493,717,
307,896,239,421,756,094,739,031,357,829,919,359,298,464,269,173,195,214,973,
018,356,148,488,512,419,557,237,122,389,726,906,229,255,508,800,431,102,191,
169,603,905,535,848,829,688,776,261,002,847,095,056,595,740,022,961,484,916,
180,275,087,511,721,786,292,125,056,977,001,396,334,924,561,052,382,224,148,
744,876,294,077,162,740,260,475,495,680,058,504,955,965,370,497,767,032,187,
307,780,079,024,509,676,543,096,856,576,747,827,933,918,217,655,957,493,691,
870,161,498,920,743,831,404,689,680,813,053,282,463,944,242,673,998,167,568,
571,022,245,263,568,083,909,505,508,402,854,976,520,028,059,775,616,027,138,
889,870,240,134,875,786,707,325,645,520,327,010,565,548,149,920,272,474,296,
765,311,390,022,311,508,508,877,931,467,478,133,739,054,432,607,446,370,901,
408,562,132,821,237,244,089,204,364,109,202,908,456,545,062,284,208,209,690,
998,506,489,366,307,778,861,681,512,680,791,296,566,571,070,373,722,712,504,
647,234,072,766,480,477,253,639,923,376,732,524,895,525,698,355,055,877,322,
285,418,398,934,869,953,170,385,237,334,167,096,808,327,848,770,345,817,222,
794,695,974,106,806,380,136,056,905,190,977,063,136,017,207,709,928,777,942,
566,744,664,657,683,156,271,194,909,220,676,209,101,587,858,397,578,900,343,
472,822,326,874,506,535,742,005,591,941,295,236,101,390,774,647,410,662,352,
090,658,573,357,469,752,422,371,901,728,923,585,945,593,481,855,831,360,392,
639,994,731,792,626,154,587,945,652,365,369,782,288,098,353,516,410,826,095,
827,479,023,758,485,548,811,283,873,457,410,591,482,793,740,342,692,922,727,
912,196,298,318,394,797,294,692,785,759,051,038,787,205,082,531,247,451,535,
056,131,446,279,966,735,083,693,793,967,658,065,893,282,417,995,115,931,882,
601,774,419,429,452,008,825,750,905,384,496,978,481,892,171,029,530,593,747,
263,149,773,388,738,274,752,779,598,944,890,495,133,374,553,232,873,891,507,
640,899,630,839,212,999,755,537,943,003,681,805,508,851,904,203,924,334,038,
876,030,153,876,357,202,952,131,870,657,349,273,789,109,945,818,214,596,282,
712,597,110,646,206,633,421,391,665,787,434,674,378,115,412,195,941,583,574,
461,291,848,953,513,399,514,619,853,194,923,413,262,069,648,512,668,985,375,
152,684,831,201,774,668,485,152,670,902,835,408,749,968,188,582,497,327,572,
720,294,515,552,374,473,708,186,005,853,159,758,850,634,565,481,332,255,214,
818,909,173,921,332,464,027,471,736,841,852,619,427,971,874,243,211,142,028,
759,970,670,706,338,338,625,076,995,209,886,876,665,009,500,469,670,272,158,
258,222,434,062,121,023,369,099,276,765,024,173,188,163,818,765,576,954,384,
208,604,425,816,393,382,385,096,151,626,711,251,404,058,906,291,046,238,608,
773,708,412,435,505,122,969,089,652,123,296,770,028,994,242,156,606,967,492,
853,925,539,905,819,837,786,590,140,258,199,783,784,546,026,099,102,447,751,
452,101,998,702,458,107,329,734,040,395,329,812,133,418,594,101,443,112,546,
446,672,716,558,221,483,529,846,563,061,649,480,969,198,097,251,159,932,323,
449,273,905,954,982,859,863,221,042,675,692,042,220,896,059,684,705,234,146,
371,792,337,786,699,619,347,540,802,093,841,183,346,136,112,024,688,905,376,
552,477,950,682,485,362,152,861,292,777,538,103,388,536,355,003,714,245,532,
194,798,795,529,474,906,155,659,669,542,958,172,548,190,288,160,269,584,936,
396,940,247,875,965,575,677,696,638,574,121,518,175,689,475,249,611,766,532,
997,834,893,214,134,663,933,176,187,106,392,603,697,248,156,205,350,830,896,
662,012,527,028,719,268,863,298,035,768,919,051,898,033,181,768,013,054,357,
009,948,396,733,784,657,783,072,585,566,981,257,355,401,644,307,618,914,514,
861,096,789,826,577,628,370,002,287,836,730,325,935,584,155,922,552,048,197,
549,655,724,882,776,842,000,138,519,240,270,720,283,867,913,107,710,157,526,
389,549,020,969,507,036,178,969,384,349,138,383,601,329,569,727,061,246,150,
727,037,711,784,800,632,937,339,269,833,026,167,558,492,782,901,638,137,382,
460,547,213,543,343,254,092,071,185,895,356,279,500,751,205,532,786,401,176,
147,793,897,400,581,784,524,177,618,708,149,228,893,526,134,434,494,500,107,
645,825,267,589,884,545,181,764,528,332,707,556,147,168,900,547,398,519,293,
690,222,502,070,447,453,595,705,825,345,501,857,957,833,450,133,180,791,819,
244,248,484,636,041,610,803,865,867,856,745,081,557,284,478,915,035,042,314,
916,478,724,206,144,476,186,253,976,613,182,995,492,454,380,157,832,472,549,
967,154,846,977,118,276,733,397,999,139,539,432,937,976,668,535,664,211,875,
525,231,912,938,512,784,926,569,071,794,196,700,012,834,819,136,935,509,075,
732,758,816,352,177,232,394,901,345,241,220,642,345,837,664,141,281,919,377,
629,482,032,291,539,186,056,295,676,004,698,722,068,424,079,588,283,540,119,
301,585,234,722,475,627,033,435,490,973,236,535,943,989,563,218,071,724,210,
136,170,432,489,770,766,593,994,686,028,921,061,841,768,482,300,043,824,085,
055,541,774,146,118,098,372,269,569,117,218,355,746,679,504,773,492,753,227,
388,114,696,316,905,364,353,981,602,180,988,261,878,199,059,926,013,066,091,
049,039,220,570,343,448,807,210,525,344,794,073,102,653,112,549,452,558,009,
533,449,861,302,785,038,401,807,159,880,953,423,669,810,647,421,888,318,455,
680,810,283,805,414,059,711,634,108,160,457,341,981,635,764,119,114,509,363,
566,401,439,505,496,912,345,614,429,887,580,971,258,265,358,942,518,676,297,
464,345,251,461,218,188,442,646,996,222,896,455,988,392,027,974,112,669,386,
016,656,678,987,278,284,570,344,445,973,285,640,469,746,332,380,346,795,144,
879,309,366,212,913,266,934,891,500,338,774,715,483,432,712,614,682,774,390,
592,417,337,312,741,871,697,182,415,571,210,323,442,555,295,109,583,116,094,
401,091,395,310,837,776,014,072,409,473,906,625,027,430,449,987,611,302,870,
936,530,449,503,262,659,869,910,557,050,384,630,836,480,663,554,519,482,962,
415,682,189,407,577,002,873,901,118,755,387,759,440,226,210,598,091,382,469,
865,076,331,251,058,265,145,180,476,877,746,284,289,846,416,273,928,215,555,
205,647,750,050,683,111,976,437,312,617,610,172,719,378,423,471,481,088,284,
690,133,432,262,093,711,460,731,334,129,741,564,384,878,856,296,151,423,042,
445,785,047,056,313,103,409,510,670,932,916,604,755,509,668,311,564,178,646,
062,218,301,322,101,482,888,756,153,391,347,408,747,027,704,048,657,646,742,
297,738,135,249,664,978,955,279,660,818,432,969,649,691,219,560,248,548,058,
065,471,636,190,899,533,026,261,015,246,132,871,713,028,760,852,925,159,201,
636,369,074,668,826,635,241,389,949,253,514,213,597,388,594,419,832,848,443,
837,537,291,339,869,785,693,147,324,069,507,368,301,216,571,736,154,664,958,
705,802,519,569,299,204,342,430,940,557,575,658,352,619,921,327,209,958,704,
995,703,222,943,338,339,779,010,726,457,942,160,332,806,690,603,151,210,084,
367,929,426,419,672,304,067,972,072,720,626,846,560,663,766,169,856,075,901,
950,279,765,877,569,711,491,936,614,776,963,359,210,658,361,737,741,132,710,
330,236,066,786,504,400,593,092,544,215,585,663,658,739,250,480,636,798,233,
295,134,191,542,111,928,644,351,611,199,152,685,656,538,557,892,155,000,244,
136,272,875,629,342,156,855,885,362,078,820,509,849,125,734,600,538,609,034,
702,504,176,166,231,130,669,547,297,363,366,953,244,636,357,110,453,040,156,
341,861,652,213,032,047,321,977,563,037,020,835,638,579,238,153,577,628,020,
533,557,561,515,261,860,331,389,679,831,778,478,182,254,291,935,899,704,730,
638,168,520,480,806,291,029,154,691,951,485,802,443,048,821,212,624,435,509,
634,364,494,327,047,805,735,054,686,362,036,898,876,501,013,470,542,615,534,
215,851,876,986,494,098,077,022,577,809,362,039,224,071,791,732,836,743,073,
749,212,929,013,120,673,118,924,226,110,784,455,262,669,704,208,570,091,829,
304,865,188,077,234,168,135,384,316,638,820,704,409,687,189,464,044,349,136,
497,567,023,126,309,616,199,120,580,808,894,767,836,431,431,292,757,939,320,
991,219,129,574,292,147,553,771,575,416,891,828,593,837,875,611,024,780,835,
298,656,668,556,831,291,820,382,531,142,944,841,696,843,578,680,110,607,540,
369,588,911,372,487,028,284,973,070,676,250,448,154,435,809,373,790,757,726,
538,265,953,824,605,174,103,465,438,417,390,991,282,863,500,926,875,029,423,
489,544,676,073,287,319,482,327,976,377,995,552,651,748,853,668,439,578,241,
799,254,497,434,112,232,464,232,035,906,445,626,161,923,000,503,197,212,901,
157,382,678,764,179,097,013,076,465,955,486,622,101,840,585,231,104,801,847,
234,292,285,480,581,291,637,011,151,993,755,520,801,371,779,498,374,991,972,
449,148,595,008,568,846,279,377,423,238,923,496,082,425,122,610,624,265,286,
398,819,878,153,750,077,759,565,674,976,424,765,194,939,504,210,554,888,639,
342,731,100,861,098,542,982,399,224,754,665,704,883,042,235,922,645,139,313,
521,755,248,709,833,493,070,366,322,538,042,299,543,491,125,744,679,709,108,
472,957,290,494,343,243,371,191,313,312,591,109,090,088,053,052,933,665,280,
572,439,204,169,882,260,422,817,588,648,617,024,577,622,050,867,558,438,318,
966,057,170,946,308,252,752,693,225,092,216,367,422,292,610,826,660,698,478,
332,273,625,860,686,792,108,192,541,510,281,121,157,425,582,617,581,287,308,
462,170,164,806,664,238,698,511,782,507,534,486,426,350,794,800,832,405,291,
924,231,143,264,291,323,852,940,028,865,031,364,145,966,693,098,293,146,965,
975,454,010,038,059,108,625,655,153,876,490,152,857,155,745,406,819,584,060,
913,022,398,607,089,252,887,253,561,878,910,376,287,969,098,741,852,901,547,
982,540,084,792,796,482,839,616,547,691,504,121,779,156,730,772,690,205,818,
455,570,550,266,230,020,436,342,385,107,260,816,434,189,106,512,359,643,297,
485,744,716,488,913,192,852,377,753,787,515,999,980,696,165,996,837,811,963,
824,966,167,607,817,966,566,185,308,190,961,263,861,960,175,425,597,160,095,
400,052,495,362,648,320,819,895,421,692,845,050,675,171,793,578,363,299,564,
667,611,787,423,240,904,909,766,258,734,610,319,182,462,318,528,757,672,359,
910,374,885,305,695,002,576,511,528,362,449,715,858,669,931,713,243,534,576,
160,366,361,146,571,294,659,012,880,115,434,390,983,836,371,647,807,638,429,
758,156,733,277,247,351,811,704,587,345,496,138,094,555,583,292,397,346,332,
429,732,956,669,506,788,961,828,400,343,932,048,072,140,274,337,471,280,223,
368,792,762,971,016,115,897,949,736,788,719,962,791,464,987,871,532,920,243,
459,241,622,707,260,156,359,603,645,258,403,996,294,679,053,347,684,383,942,
022,562,102,609,439,525,680,906,367,890,912,971,189,777,616,425,195,565,102,
153,266,571,710,270,735,960,850,780,278,540,058,304,453,720,434,543,010,678,
857,654,271,829,683,562,606,532,650,460,349,319,253,273,064,890,700,357,023,
925,900,368,892,960,013,823,865,034,673,975,488,281,179,421,326,250,754,969,
524,149,185,070,300,610,517,627,508,524,018,113,259,059,147,353,357,783,461,
066,181,124,716,925,025,360,679,560,786,744,443,268,402,007,517,103,538,264,
770,408,558,494,366,161,763,982,257,850,398,140,087,273,296,600,345,743,497,
219,195,898,298,673,309,890,180,843,813,367,313,032,468,785,225,166,780,426,
064,802,212,659,074,182,360,722,374,630,324,334,322,177,237,002,094,651,190,
218,359,011,066,791,595,105,612,386,721,624,481,068,111,947,224,046,582,687,
278,144,801,179,992,866,554,306,800,033,852,720,747,774,338,439,186,306,768,
676,476,464,539,180,075,286,366,332,202,502,391,626,414,668,988,175,116,958,
318,689,265,809,920,210,475,852,516,338,167,665,129,085,862,382,468,923,894,
961,214,002,478,378,872,907,106,783,595,933,597,417,327,651,266,051,807,199,
048,550,760,094,579,039,435,448,262,456,748,583,718,948,523,216,211,491,912,
714,577,401,875,657,387,137,825,642,735,440,043,049,430,071,412,037,897,536,
945,516,051,111,650,002,544,352,760,978,885,027,730,499,858,612,045,963,440,
497,935,769,358,660,799,987,658,389,310,322,039,114,023,769,314,632,396,557,
608,852,008,489,958,612,343,006,973,153,117,411,627,968,199,800,750,913,190,
777,849,247,805,100,884,995,437,574,479,692,211,909,663,479,853,353,023,362,
703,911,739,533,405,654,498,331,887,415,734,878,659,014,032,747,179,656,964,
505,317,735,020,248,650,701,930,094,276,072,334,557,953,039,921,990,716,277,
330,741,837,028,658,622,041,098,667,049,322,330,726,159,902,955,350,681,685,
351,757,322,941,661,875,678,694,829,409,619,270,822,359,002,972,162,014,644,
917,012,114,915,912,497,818,870,590,263,221,765,554,087,459,955,346,078,669,
899,725,953,927,910,362,686,438,799,488,823,610,136,702,968,984,406,244,153,
068,984,642,655,173,711,279,044,946,839,810,201,905,912,978,147,912,335,762,
985,980,639,079,527,954,590,203,449,710,718,136,775,138,832,720,627,066,316,
469,335,591,369,458,881,477,402,856,450,532,622,748,601,758,360,555,399,919,
678,410,476,891,858,790,710,695,747,160,066,714,850,315,655,953,732,932,622,
597,060,241,175,053,016,829,914,647,690,512,666,425,112,451,334,498,334,858,
657,490,112,031,307,960,307,069,304,253,427,708,816,066,737,786,977,686,053,
717,590,228,966,202,780,340,486,830,184,218,604,492,820,378,105,075,917,383,
393,386,536,368,605,923,362,915,712,428,685,135,850,094,716,860,027,333,846,
032,663,444,095,371,715,419,235,286,449,072,939,121,373,267,137,416,599,488,
450,334,753,335,787,388,912,213,050,283,390,287,030,147,255,256,876,816,036,
109,759,991,646,079,075,157,597,940,550,528,678,902,916,756,275,399,396,702,
722,993,429,410,365,020,479,057,334,137,295,463,856,000,068,800,111,313,187,
184,045,847,165,925,960,379,700,777,382,388,075,467,062,903,534,100,086,638,
411,967,360,024,401,487,567,904,557,839,959,445,623,752,617,667,619,772,831,
751,625,651,026,687,121,433,871,782,069,728,698,525,678,501,652,766,022,053,
250,884,361,245,168,271,015,743,115,771,448,968,516,993,917,497,462,443,711,
603,933,033,796,588,336,817,514,960,603,435,893,642,855,857,047,530,120,399,
583,278,530,727,500,714,192,263,875,309,891,650,694,395,862,281,055,865,459,
293,876,298,889,035,009,481,021,529,171,616,522,676,663,437,497,788,458,038,
514,392,430,396,385,715,704,100,300,997,898,797,129,419,808,238,761,691,749,
243,969,752,269,624,792,347,664,475,162,862,384,763,457,028,986,456,312,960,
016,616,540,375,963,689,646,501,733,035,069,254,639,526,018,019,504,356,676,
720,508,899,053,651,105,386,817,250,474,138,594,178,621,144,710,959,467,279,
786,678,038,825,483,818,939,264,715,190,056,407,477,809,422,247,165,858,113,
194,749,783,769,507,152,447,811,966,485,928,814,489,363,200,075,553,197,130,
095,734,228,382,297,304,836,810,331,720,966,528,071,361,440,154,813,721,698,
183,692,729,480,359,920,899,642,874,840,449,079,822,409,060,417,819,456,358,
756,431,802,972,513,942,978,269,894,651,562,192,922,312,206,366,569,587,782,
684,910,943,861,553,579,196,311,734,995,457,527,004,764,133,632,073,942,157,
503,758,057,181,566,191,161,981,861,220,522,809,197,974,819,079,242,956,736,
663,018,422,371,882,651,777,968,874,387,031,350,634,821,111,367,461,243,393,
859,827,343,686,714,216,377,438,997,778,905,070,176,331,605,668,252,243,398,
473,196,987,490,504,847,839,471,921,768,293,584,932,083,435,353,823,712,809,
040,919,549,597,505,594,388,488,901,241,828,829,819,722,463,035,328,969,536,
820,651,019,361,251,594,357,273,747,267,613,688,436,785,309,714,694,817,087,
965,516,904,498,025,517,511,610,021,724,794,353,569,320,910,714,114,939,694,
244,394,236,051,140,800,997,991,355,637,954,857,518,598,816,301,042,154,555,
892,002,071,082,634,165,085,047,852,624,271,823,884,015,674,674,324,621,329,
085,858,258,678,553,064,326,723,312,430,519,051,532,718,029,885,511,448,628,
188,739,800,407,771,688,126,356,822,118,721,422,220,870,024,984,784,576,298,
009,521,592,686,417,905,974,815,639,609,514,269,728,769,474,571,866,914,703,
739,078,192,095,507,948,807,565,683,351,728,449,168,529,575,508,525,365,394,
373,265,447,917,611,382,270,608,158,679,889,516,127,175,656,457,834,314,742,
808,911,407,939,421,917,656,002,360,151,723,295,297,735,369,794,180,743,520,
880,881,269,746,547,615,517,387,769,628,845,809,646,637,487,832,086,976,029,
684,656,738,043,401,638,949,472,207,646,930,194,303,747,032,143,535,920,136,
817,316,589,077,070,491,745,134,493,471,553,576,911,790,037,278,057,929,018,
957,657,577,364,806,188,847,469,392,531,667,948,263,534,736,831,622,591,979,
841,420,408,672,406,139,708,261,123,248,609,238,375,258,637,851,065,055,334,
503,308,963,159,163,939,230,958,998,640,878,616,040,370,250,173,388,321,352,
495,843,365,859,168,396,383,997,199,928,736,971,732,056,791,198,515,317,544,
195,188,683,105,544,124,707,584,392,676,403,209,871,618,022,108,200,142,623,
107,354,075,294,161,271,934,912,038,716,457,956,771,451,757,067,127,758,511,
232,333,328,142,111,200,040,030,079,244,924,224,578,007,194,081,348,538,772,
657,712,961,886,066,911,012,668,409,543,414,828,463,005,709,814,928,565,718,
124,602,470,419,946,162,678,735,423,110,595,226,822,025,696,143,660,264,302,
683,585,112,555,581,319,060,378,098,735,340,343,574,435,254,734,031,687,445,
569,573,641,816,681,204,933,468,903,507,625,899,555,677,785,876,115,480,989,
599,535,415,815,813,670,074,816,399,256,786,962,907,118,824,257,621,616,977,
258,557,565,428,390,614,991,030,901,137,220,195,808,273,110,014,908,728,178,
924,711,328,292,633,913,031,592,720,588,210,297,246,773,288,247,226,079,439,
822,340,329,249,772,921,875,154,803,027,297,631,388,347,578,048,244,210,350,
338,783,563,166,320,304,621,877,284,193,136,659,573,157,387,156,544,788,890,
106,668,260,069,882,331,512,611,216,571,274,960,335,824,980,823,017,964,099,
199,405,929,911,125,386,750,866,153,766,124,143,368,794,967,507,634,745,479,
989,761,972,983,417,217,581,276,565,012,404,376,928,364,716,072,126,021,148,
483,477,274,774,784,307,156,490,672,370,009,163,762,821,752,442,856,734,811,
936,374,699,394,151,353,954,569,171,390,192,966,814,873,436,844,265,952,632,
876,561,831,813,761,873,764,970,024,228,366,403,061,165,225,535,088,971,894,
408,166,157,629,000,293,433,626,440,514,428,934,342,297,027,765,096,425,341,
753,905,505,998,912,345,491,422,191,766,019,343,174,776,451,285,991,028,839,
157,843,219,721,987,545,998,444,148,769,540,211,905,814,594,570,185,765,130,
351,706,079,953,205,618,810,111,067,820,987,784,758,664,192,588,763,784,377,
327,373,692,576,551,346,127,849,929,201,409,765,694,646,109,904,123,156,290,
614,395,892,312,785,997,385,201,948,060,472,414,906,433,386,491,983,529,786,
897,810,479,325,973,878,628,604,199,903,007,168,209,980,174,506,515,695,444,
391,142,854,160,981,155,062,158,836,624,685,143,501,649,734,654,553,838,518,
818,190,490,681,541,123,521,926,586,980,900,364,312,837,533,618,807,523,985,
957,165,509,816,784,909,631,997,008,307,136,470,497,606,722,827,843,950,308,
859,304,253,701,068,010,627,379,551,111,037,730,738,399,043,729,001,009,563,
967,174,637,366,887,347,956,756,539,304,328,380,316,531,477,651,609,898,655,
776,296,694,651,460,568,857,297,239,737,093,178,207,308,057,074,898,504,213,
844,370,906,028,928,542,941,051,370,940,359,233,520,593,951,322,994,616,686,
307,570,669,155,094,439,158,999,144,890,719,133,109,445,604,465,910,591,345,
121,692,054,563,468,698,618,777,763,928,053,999,784,333,489,253,574,871,288,
217,540,714,676,364,042,111,302,239,892,495,310,925,722,935,916,230,598,999,
547,046,319,845,697,020,879,858,579,396,991,406,249,663,790,463,269,085,743,
780,552,543,920,267,650,438,274,687,294,598,618,697,889,910,572,745,238,862,
934,570,086,795,685,961,500,728,580,106,409,499,834,469,446,672,321,678,683,
917,422,146,446,451,774,338,177,373,428,306,833,727,321,610,478,578,789,747,
683,321,876,462,262,103,612,181,258,795,640,030,712,806,649,972,634,739,358,
626,767,684,190,522,374,559,972,168,491,462,578,885,518,347,131,684,816,236,
228,941,699,224,703,304,808,289,456,016,558,345,967,160,635,962,821,288,279,
495,194,387,621,975,389,208,540,506,191,765,588,099,992,555,905,572,364,240,
643,522,643,076,216,242,469,320,676,228,439,208,623,703,111,233,411,934,085,
774,433,795,494,162,886,989,828,507,180,639,495,052,954,312,702,821,895,407,
729,734,964,251,812,191,057,226,344,416,384,825,829,607,573,823,563,462,376,
463,985,828,800,558,270,812,180,529,224,868,863,075,940,677,286,188,208,335,
472,203,231,124,684,248,162,280,561,936,469,418,687,373,539,269,990,235,389,
054,396,443,342,702,307,603,152,365,759,876,237,580,664,346,863,699,156,311,
104,837,325,870,755,187,716,009,767,535,286,607,266,629,720,383,039,180,709,
724,416,636,280,584,875,379,333,686,283,833,208,876,289,622,521,873,631,247,
086,053,264,102,042,423,019,819,245,638,988,433,448,334,914,382,053,797,584,
992,127,312,185,332,174,281,451,696,226,478,647,370,905,196,540,117,710,612,
329,664,513,515,977,866,941,904,304,990,687,455,938,652,577,706,467,720,682,
444,273,083,553,597,979,511,934,632,705,886,462,514,075,657,817,354,062,477,
827,501,883,274,236,508,139,367,227,768,507,489,344,175,490,701,767,691,225,
529,909,763,143,790,000,803,107,610,391,291,917,147,971,002,655,037,335,314,
718,710,223,746,810,286,735,909,746,561,786,930,589,627,389,638,935,752,669,
052,588,868,393,352,319,448,824,086,814,315,322,682,228,156,589,142,705,241,
669,636,423,763,400,948,546,068,650,382,569,962,445,681,146,022,618,592,719,
528,941,391,837,372,674,166,505,838,357,914,551,211,491,847,118,000,895,782,
162,936,347,809,018,163,969,791,557,319,340,806,187,815,319,129,440,770,392,
466,862,307,191,985,459,279,886,980,073,940,921,196,763,971,781,300,760,327,
182,146,518,091,726,510,060,866,032,953,066,985,133,314,089,124,791,622,616,
698,249,711,374,156,384,568,415,941,562,504,325,912,067,851,802,928,898,900,
424,299,945,297,812,370,959,847,687,190,036,646,501,885,960,138,654,785,900,
274,332,510,094,917,373,930,413,503,408,175,312,317,764,356,987,782,241,630,
863,455,567,197,781,377,193,503,331,124,009,383,867,777,168,741,600,791,778,
783,180,679,570,421,507,476,860,542,152,648,298,807,676,305,197,025,133,127,
183,597,050,802,935,806,986,402,985,153,556,061,035,814,104,818,894,098,125,
809,108,334,474,381,750,839,856,678,552,863,839,032,245,841,951,776,996,837,
507,500,793,133,328,511,224,582,272,768,721,324,394,856,392,191,587,261,931,
392,081,922,306,044,019,174,882,276,156,373,515,963,199,093,038,147,936,670,
538,979,779,161,905,950,037,833,381,113,566,870,306,875,999,203,339,408,669,
357,171,730,287,116,325,399,448,840,724,134,634,597,040,821,258,764,510,188,
133,230,805,275,033,181,004,632,734,669,556,826,191,964,087,484,834,256,893,
512,254,594,560,908,453,536,657,268,374,513,859,565,846,509,757,110,645,355,
697,543,382,085,057,062,356,442,529,574,093,473,398,992,954,688,662,246,276,
351,288,017,407,468,213,609,139,984,609,779,494,603,746,984,585,790,799,462,
616,101,736,118,213,777,454,992,575,697,116,435,991,443,402,050,202,527,743,
072,499,672,517,797,780,612,259,029,741,135,931,561,434,172,859,204,172,796,
571,414,510,849,725,385,983,028,081,904,522,441,125,713,544,399,605,432,619,
994,584,223,346,498,289,254,055,352,920,269,071,253,288,888,936,728,247,744,
035,044,005,033,806,463,569,906,164,009,349,175,824,710,104,074,730,764,405,
212,513,690,641,528,816,736,964,038,719,005,112,823,735,103,787,624,214,799,
970,927,496,151,164,832,566,979,802,675,421,972,276,017,106,773,365,052,578,
208,029,370,689,986,671,400,748,754,552,313,764,017,232,635,153,584,542,626,
345,067,451,490,883,873,919,366,291,776,147,282,045,149,737,059,678,075,029,
463,611,681,360,499,240,199,108,370,495,575,562,972,265,747,474,457,667,950,
995,227,170,416,223,537,619,144,476,477,703,178,332,547,557,659,728,678,058,
274,146,586,571,998,248,483,979,858,153,695,660,694,329,861,055,602,271,871,
303,582,698,007,370,948,503,539,941,409,422,023,379,024,582,255,929,359,569,
597,956,754,276,469,711,309,630,809,188,290,532,257,606,265,739,581,865,370,
652,463,526,116,881,034,619,157,556,349,500,487,316,887,567,472,241,790,384,
088,049,866,476,566,732,024,440,969,726,527,733,409,263,042,751,227,730,984,
333,810,639,817,304,589,839,614,376,781,611,061,343,284,451,520,684,062,161,
566,619,659,722,543,052,121,166,613,908,261,803,085,199,203,149,969,383,567,
371,803,372,885,692,688,937,829,515,571,896,497,448,822,955,489,247,026,346,
507,755,307,346,579,324,233,997,202,992,820,050,774,199,937,451,331,167,138,
949,302,957,466,394,269,993,636,384,016,636,266,537,349,899,068,281,856,643,
959,726,091,395,873,329,357,366,452,617,044,332,993,404,368,641,346,212,295,
960,940,793,536,385,613,850,724,755,879,351,806,771,777,150,839,800,213,363,
616,232,236,541,046,631,282,508,142,964,753,931,525,102,338,907,969,338,886,
013,593,074,634,200,230,913,082,015,041,598,649,946,118,415,698,291,571,539,
587,112,143,611,416,198,417,629,493,076,660,286,178,845,359,114,930,678,832,
419,758,499,029,059,318,122,901,340,148,089,905,846,939,040,421,719,862,752,
925,095,258,245,233,372,081,732,844,464,680,295,965,976,809,162,826,325,225,
619,481,153,622,838,605,588,969,194,570,403,708,729,516,677,755,173,170,393,
694,721,670,853,449,867,357,302,378,132,184,005,075,033,997,761,625,368,152,
057,427,291,527,967,718,846,962,541,329,628,183,252,936,498,740,979,828,445,
595,710,068,304,900,150,099,414,548,413,819,889,642,625,283,065,069,635,701,
152,210,486,235,334,158,758,414,619,711,511,601,315,913,492,228,900,873,969,
269,010,859,071,911,215,552,111,615,755,096,637,998,033,562,862,974,189,200,
928,377,331,810,706,890,095,674,253,367,774,369,362,633,994,498,515,269,048,
129,101,033,065,961,592,346,065,450,236,902,750,126,406,163,138,606,472,576,
931,639,271,146,881,809,628,674,898,129,829,368,474,842,020,579,814,216,989,
279,493,254,324,649,216,469,077,463,957,725,817,803,562,761,931,880,389,524,
850,535,801,034,469,222,651,442,614,060,550,359,443,853,380,105,074,128,264,
185,887,837,161,546,543,884,822,017,340,383,616,229,598,165,927,178,290,224,
056,357,030,638,115,470,175,477,432,879,973,042,173,393,023,175,964,948,620,
749,413,123,848,884,254,462,108,758,587,880,055,353,886,711,299,746,712,434,
843,131,081,072,391,160,955,323,320,311,565,605,980,585,158,221,503,571,690,
071,990,981,986,894,719,584,172,890,876,132,258,033,787,874,227,430,557,945,
019,947,971,115,959,958,139,133,665,017,677,457,666,278,324,968,256,654,937,
179,200,871,385,641,393,358,289,806,019,643,400,219,857,735,353,351,262,221,
589,143,718,288,430,888,985,831,067,483,367,020,151,621,863,978,900,983,477,
679,126,892,890,904,714,300,527,238,616,563,409,505,686,237,585,819,630,381,
606,612,767,123,963,041,658,432,520,209,420,799,720,708,714,711,888,305,258,
712,468,453,490,625,424,659,976,242,791,215,833,583,784,603,668,973,119,285,
182,313,727,880,925,280,205,363,883,181,946,086,541,178,840,446,645,921,607,
654,425,427,242,991,404,091,242,303,825,531,102,713,570,570,861,853,071,786,
109,852,350,509,636,040,846,319,339,443,552,108,657,646,270,661,905,106,999,
455,270,093,367,081,967,832,641,234,355,033,219,338,979,602,092,483,380,249,
008,809,755,109,945,200,134,022,161,933,526,518,240,784,562,881,949,984,269,
849,841,348,301,074,171,868,856,869,986,819,099,083,212,015,201,694,013,531,
235,300,099,217,864,379,919,537,616,493,623,044,500,949,643,513,389,177,566,
043,614,377,969,551,393,748,680,974,666,629,005,043,361,504,043,968,393,650,
989,875,067,866,096,001,101,217,260,667,203,061,261,227,042,316,683,120,990,
507,599,266,007,679,651,834,308,189,106,336,975,643,247,108,238,417,493,163,
128,551,912,754,297,261,680,884,398,932,231,393,709,829,215,267,262,864,879,
269,781,380,176,485,551,469,937,131,326,018,025,751,197,809,467,055,545,995,
669,585,167,793,097,625,880,408,239,518,215,356,374,122,565,568,562,328,760,
856,454,066,329,611,586,159,464,213,941,192,496,902,205,160,230,500,380,908,
045,152,626,675,988,653,534,371,152,605,517,282,764,994,018,795,326,150,881,
327,529,153,614,734,594,027,835,435,557,183,797,162,946,896,158,961,604,023,
234,185,323,725,159,160,827,436,751,905,204,734,869,297,085,645,653,531,381,
255,403,812,130,412,153,615,404,337,341,424,450,085,260,303,612,987,396,962,
532,045,973,145,362,056,934,547,285,317,799,161,144,813,453,428,731,980,019,
638,663,897,485,789,079,883,614,896,768,202,313,615,999,481,766,000,748,751,
597,322,492,878,331,715,363,591,886,517,380,122,185,197,887,800,923,710,944,
418,429,407,052,937,759,816,844,367,336,552,156,176,434,412,814,885,718,850,
109,752,782,103,160,483,050,622,809,978,395,277,600,031,159,313,542,481,894,
023,883,593,824,583,322,158,556,883,661,372,481,777,773,285,383,260,414,250,
614,234,546,970,763,015,811,662,013,610,411,901,648,672,935,598,088,801,759,
982,496,911,118,878,204,196,813,455,869,400,959,684,655,523,432,071,666,985,
289,394,801,883,070,732,024,272,966,689,900,855,264,540,896,645,017,160,287,
870,027,388,230,280,811,602,327,321,147,650,825,630,461,760,042,162,392,552,
144,381,107,240,873,198,982,066,210,458,787,519,579,800,343,260,992,880,932,
612,489,743,393,761,990,229,392,813,994,825,009,777,714,481,389,213,616,983,
401,680,138,348,399,345,709,583,647,130,736,950,201,375,244,211,073,383,834,
101,750,699,528,124,682,787,890,566,284,927,005,046,728,462,795,078,888,223,
120,749,492,974,207,639,446,870,321,022,834,403,762,613,285,286,619,982,734,
216,983,190,416,725,684,826,515,459,951,366,947,041,920,852,386,441,346,698,
857,527,067,143,160,652,497,859,879,075,658,281,591,631,239,117,994,826,457,
419,940,828,579,531,849,694,740,662,625,302,748,496,220,602,026,174,392,632,
019,010,565,864,098,037,536,455,716,330,957,214,259,656,564,440,079,633,565,
146,201,645,463,734,335,327,322,475,461,821,039,961,891,683,906,101,310,389,
428,878,678,865,092,239,568,865,868,334,030,505,871,214,204,749,258,366,633,
403,038,915,097,051,045,796,049,801,962,741,946,760,682,693,873,846,096,868,
817,692,399,359,699,642,915,475,725,613,080,812,101,904,969,623,742,236,596,
805,412,598,632,219,382,992,277,430,475,823,859,428,176,491,858,536,744,446,
017,726,070,417,314,430,322,255,817,550,916,427,667,915,189,744,058,152,012,
439,820,598,311,434,013,380,024,364,405,185,315,560,607,439,944,927,931,119,
371,943,449,393,378,791,907,762,751,494,404,670,918,045,547,523,704,333,654,
483,826,789,760,451,335,472,324,746,965,515,847,866,919,825,684,621,898,073,
529,489,340,570,138,353,052,064,392,871,309,078,952,807,190,347,500,039,214,
140,527,274,394,676,518,574,024,894,549,011,814,492,685,394,609,304,533,126,
859,662,204,879,724,065,875,279,235,614,498,844,117,095,050,012,241,796,552,
931,784,089,431,840,057,669,751,531,319,573,193,880,372,446,744,208,974,693,
125,167,649,269,899,498,924,690,500,869,956,212,726,588,753,339,495,147,583,
777,271,225,518,664,842,293,351,666,623,793,678,733,921,325,280,139,934,767,
540,685,853,641,923,495,771,988,282,064,192,265,551,803,337,917,806,270,042,
251,022,500,807,195,122,373,295,718,452,627,684,622,860,057,283,926,864,901,
656,921,304,990,133,905,079,431,816,091,905,731,009,822,291,594,181,169,709,
657,961,582,540,864,160,604,703,313,572,520,878,697,828,673,001,640,875,104,
670,481,717,725,429,752,131,512,584,989,702,027,781,616,065,928,095,592,387,
714,174,804,903,846,193,361,447,316,983,313,241,239,214,103,788,274,953,524,
490,171,477,583,463,426,386,035,863,907,328,973,233,306,112,730,520,828,076,
252,571,666,532,092,724,980,544,043,527,999,897,006,179,096,926,538,840,556,
658,917,677,775,232,785,098,522,719,972,509,306,141,924,269,471,243,229,834,
763,227,962,410,178,199,977,486,414,997,520,885,204,437,039,940,326,920,191,
433,476,202,981,541,376,881,701,910,551,596,225,577,522,212,334,600,473,424,
800,075,520,239,528,309,595,429,540,202,588,091,484,597,588,856,701,408,481,
553,295,717,746,634,493,284,045,887,263,048,054,929,632,881,669,925,594,841,
132,864,012,957,907,168,214,697,260,952,693,797,628,586,341,624,673,912,937,
642,974,258,324,868,893,292,001,058,000,681,877,272,225,041,194,023,288,260,
986,854,588,443,904,959,004,117,380,428,967,241,526,290,310,779,603,625,131,
580,823,826,590,197,091,002,613,954,031,334,767,161,305,847,409,416,158,371,
919,264,012,057,387,212,656,726,126,252,292,846,183,953,153,732,543,803,203,
482,090,538,909,011,479,404,692,614,301,903,711,573,066,321,077,277,998,591,
180,457,890,117,017,504,969,162,239,258,524,556,176,391,375,899,021,543,372,
543,034,733,561,619,821,987,048,748,224,112,041,340,793,324,418,317,363,629,
978,987,594,205,585,925,443,101,821,986,864,192,337,304,014,859,164,768,544,
519,371,598,864,324,240,900,283,540,746,603,641,417,833,106,337,753,122,484,
305,595,796,586,485,938,108,941,428,290,932,384,597,504,634,264,009,571,255,
263,399,400,137,731,583,349,957,257,169,622,650,486,392,907,803,892,881,458,
590,386,099,003,356,664,446,387,909,868,680,195,479,222,525,672,209,973,493,
481,244,480,292,715,812,278,073,608,243,689,943,908,854,386,379,623,140,176,
702,974,107,325,741,227,105,035,110,483,437,029,173,586,311,001,794,535,283,
968,099,582,200,720,652,215,352,620,992,755,543,595,617,737,085,553,222,459,
821,823,280,033,305,359,736,450,756,293,164,057,083,840,739,766,367,700,110,
643,253,518,924,375,918,136,669,791,568,769,229,096,974,656,354,183,016,972,
417,193,920,760,132,054,495,913,430,027,182,014,083,888,857,811,350,219,491,
429,854,594,589,695,020,266,444,976,826,077,258,546,162,757,335,692,771,520,
062,907,131,930,724,493,299,878,250,765,748,047,762,565,365,109,019,692,401,
568,074,891,916,255,367,141,436,558,116,334,982,577,105,074,253,900,552,638,
244,208,965,663,739,631,234,343,093,508,436,895,445,662,464,364,672,784,957,
766,053,775,097,526,473,288,736,795,307,390,739,689,157,549,797,521,081,640,
923,575,685,973,543,328,323,906,600,526,474,835,062,816,967,703,193,000,632,
308,587,618,763,712,597,964,508,937,040,103,305,926,592,602,348,932,553,253,
441,990,363,210,597,260,586,965,933,587,413,904,045,387,704,502,714,297,257,
738,382,406,973,794,901,912,416,136,171,244,064,521,782,052,185,211,974,044,
932,675,342,866,128,460,896,605,181,614,425,720,688,434,410,170,537,311,413,
368,977,972,158,129,909,552,467,678,030,622,285,753,695,628,290,501,052,001,
131,860,457,335,574,848,349,612,930,135,843,954,109,784,233,329,623,946,820,
897,791,112,803,663,872,272,893,858,456,873,868,754,172,964,544,404,286,409,
450,880,449,803,737,942,328,902,300,374,859,905,467,552,616,021,414,641,531,
937,738,602,231,769,014,742,190,070,035,781,153,383,023,465,721,383,243,518,
495,523,035,340,550,643,611,511,725,346,473,144,419,240,910,163,809,218,429,
095,244,021,167,169,623,857,533,916,579,855,212,770,929,761,563,474,087,487,
992,827,279,834,472,393,441,876,228,820,809,273,434,056,294,976,826,504,919,
159,729,975,333,230,974,176,571,599,409,467,617,085,445,959,872,372,828,741,
240,966,227,714,864,927,961,295,166,471,508,132,642,561,507,878,155,002,577,
455,250,295,702,875,800,973,651,138,217,418,401,606,353,438,016,068,265,391,
112,013,571,441,635,036,192,187,208,767,820,040,503,026,599,073,662,956,153,
412,867,224,723,355,146,033,988,125,518,475,833,692,021,035,932,460,277,668,
612,825,065,395,563,701,411,643,702,451,844,911,213,546,368,679,947,558,969,
191,504,698,970,387,932,296,558,501,876,147,584,474,949,068,936,717,724,634,
674,520,301,642,635,492,612,525,389,557,733,582,741,484,574,629,509,158,921,
909,331,272,280,154,697,176,156,756,981,077,905,709,861,174,901,516,868,556,
325,318,441,266,171,841,135,402,712,506,692,702,945,272,031,496,058,929,162,
801,049,398,439,786,877,741,677,413,885,252,192,183,890,022,392,509,754,204,
445,762,868,676,513,147,425,975,176,251,745,181,786,566,678,474,334,477,433,
317,339,066,433,069,691,664,741,042,787,792,842,393,255,972,054,725,270,551,
078,004,370,180,303,804,913,522,815,782,678,375,669,914,051,075,632,132,658,
704,599,744,298,884,707,757,236,217,346,009,889,187,673,734,318,552,851,071,
632,315,444,386,911,291,767,389,629,821,090,947,729,166,450,906,432,881,057,
581,195,050,267,513,229,094,795,688,669,076,670,870,574,334,347,826,976,886,
229,217,532,861,409,668,740,279,478,610,394,788,374,148,093,927,580,277,809,
989,342,063,978,777,013,231,082,445,621,622,038,204,345,057,888,526,593,074,
050,814,450,592,172,630,045,794,640,852,857,045,458,274,504,121,834,042,708,
033,334,746,306,061,162,478,259,158,317,764,087,165,049,383,483,556,871,226,
063,671,394,359,849,389,290,711,193,848,757,338,633,714,450,924,080,687,816,
109,813,089,887,591,141,643,443,184,214,752,843,585,076,699,413,236,274,170,
433,655,473,437,871,186,354,487,994,047,962,941,777,803,966,280,010,435,603,
064,747,719,004,470,940,239,418,098,274,661,335,415,800,751,580,352,644,398,
269,390,893,480,114,717,023,467,975,597,356,827,834,857,772,858,123,084,452,
951,714,296,626,246,905,286,719,309,332,051,662,712,535,767,589,390,179,653,
947,040,787,635,604,291,756,337,555,142,877,849,236,807,794,067,834,036,815,
874,521,103,498,957,544,080,465,053,677,808,312,470,147,087,458,424,678,773,
901,518,673,235,997,098,214,561,249,372,009,004,651,822,157,770,369,884,896,
496,779,239,496,900,396,983,343,773,189,617,324,445,439,015,742,860,638,961,
522,452,856,951,969,330,508,126,714,550,750,725,767,941,612,856,942,720,034,
192,166,681,145,703,993,623,699,653,293,544,749,254,354,053,250,020,372,182,
951,148,721,901,211,877,257,506,861,612,974,745,434,592,953,728,645,803,281,
382,050,137,960,247,712,433,960,669,611,975,617,558,719,272,323,790,851,436,
087,921,038,485,315,267,316,815,474,638,563,992,232,617,100,025,410,292,631,
017,937,938,197,012,915,537,469,687,882,177,097,249,883,315,497,816,687,544,
497,042,840,902,112,940,401,444,703,412,784,678,911,874,630,671,863,198,229,
449,354,598,968,959,990,043,778,697,823,946,229,964,680,525,112,360,500,073,
042,084,231,703,722,568,158,475,745,396,414,595,310,593,284,236,069,443,430,
367,829,836,456,502,371,045,164,765,615,256,019,412,018,727,042,740,235,319,
437,479,750,758,705,676,617,533,798,124,666,679,156,062,274,701,467,695,869,
925,420,803,401,973,143,676,073,583,586,097,748,614,272,689,261,434,539,784,
462,334,929,504,616,649,148,416,263,626,764,453,440,780,990,061,707,590,173,
403,633,226,092,150,464,071,565,499,671,502,757,464,771,341,099,339,049,342,
997,389,081,600,149,905,154,067,951,250,942,547,899,776,493,617,427,522,211,
677,933,894,958,154,277,262,987,303,730,901,106,675,534,321,147,909,701,041,
913,434,588,245,144,238,945,939,697,859,669,785,579,632,143,312,797,549,918,
088,992,265,515,264,339,746,064,136,597,814,303,615,709,409,512,071,688,456,
660,129,104,210,091,212,547,141,904,198,265,656,137,837,200,323,624,565,756,
461,364,420,842,225,083,877,771,128,122,814,834,820,545,798,534,228,235,660,
444,545,541,628,375,578,115,271,869,703,248,113,245,580,070,223,107,048,038,
405,416,326,524,697,878,875,049,754,198,899,289,138,140,784,974,564,291,367,
054,892,424,977,998,775,936,204,928,651,534,760,308,139,145,405,973,725,848,
980,834,306,387,124,164,996,710,353,209,583,867,587,935,766,483,723,934,727,
690,571,589,784,528,972,487,724,189,126,787,359,042,697,295,521,864,626,317,
236,311,396,864,291,493,847,818,995,732,017,402,675,328,710,562,083,995,601,
022,392,009,666,594,185,439,207,578,044,734,830,337,036,973,532,695,633,953,
161,474,829,296,627,839,000,492,077,785,344,552,066,526,675,004,804,142,339,
636,708,045,602,732,483,589,742,540,632,554,392,980,219,636,871,557,957,519,
195,659,567,739,729,053,888,549,101,328,522,847,839,188,039,627,537,345,454,
107,181,595,750,783,622,189,530,694,255,036,582,757,595,134,219,751,553,432,
357,945,109,397,934,949,517,545,432,878,105,343,822,741,623,372,790,256,489,
812,528,476,362,571,516,801,037,070,262,997,917,310,681,824,177,547,405,898,
719,952,931,490,323,487,058,983,447,237,006,271,080,601,344,815,162,733,490,
609,040,937,470,883,569,111,480,646,730,412,740,116,358,401,341,800,810,213,
934,673,329,589,568,717,449,997,279,626,407,721,979,522,185,095,146,893,506,
355,637,013,157,042,837,750,744,535,904,383,965,268,735,892,761,395,770,428,
240,772,185,758,598,285,420,052,612,641,862,158,187,496,241,794,541,392,164,
272,941,637,323,025,955,882,295,893,298,635,237,658,536,782,409,318,846,738,
054,721,581,569,194,281,713,784,889,779,138,617,227,269,866,158,677,142,497,
308,402,912,960,348,929,116,795,185,787,829,270,781,959,098,208,585,515,847,
303,128,542,576,881,256,634,902,467,565,767,597,709,523,703,408,242,489,665,
335,936,495,500,519,588,515,809,053,084,123,607,874,634,353,968,476,681,570,
641,925,219,458,506,910,576,346,606,711,232,004,956,261,357,197,271,225,988,
457,889,835,212,973,558,116,344,545,773,417,416,704,751,270,201,154,330,624,
082,647,349,759,392,300,451,147,353,127,432,476,345,081,737,190,596,182,162,
137,179,397,166,344,202,988,658,931,385,481,370,991,445,112,246,762,221,517,
164,319,858,844,017,304,124,464,480,921,883,178,331,523,988,089,365,389,224,
081,520,163,569,557,000,291,374,233,203,372,408,613,387,221,788,535,955,657,
909,017,707,779,657,179,642,347,422,356,510,675,295,171,437,932,129,406,216,
118,223,114,703,684,694,334,261,310,014,776,032,766,222,559,649,137,187,080,
883,895,969,749,420,132,457,963,735,134,389,032,945,914,828,777,981,660,992,
283,981,422,984,914,498,269,156,872,848,861,720,475,556,131,284,037,976,824,
738,455,589,283,795,471,618,364,593,679,719,046,957,758,533,315,164,753,426,
581,418,684,865,798,118,564,172,919,857,220,151,123,189,986,155,181,903,616,
791,194,871,782,495,150,841,636,717,634,614,557,894,073,548,043,852,079,773,
076,898,148,943,293,784,469,842,937,353,793,575,882,250,262,485,160,871,487,
456,707,517,359,598,125,884,905,639,010,049,539,138,088,573,101,620,378,951,
675,317,548,731,520,860,667,161,822,240,652,246,256,364,842,202,053,186,327,
663,476,923,562,295,817,294,693,015,755,275,893,043,524,813,199,356,937,049,
605,311,954,689,599,940,254,101,402,495,149,954,487,771,142,307,488,062,983,
176,942,552,628,400,921,942,693,995,861,945,239,864,386,404,193,014,335,282,
285,884,314,045,599,963,425,339,506,701,911,755,878,732,084,546,706,568,008,
262,785,524,511,558,789,199,695,416,368,189,946,687,370,849,395,694,919,024,
109,696,476,368,324,940,925,888,920,281,675,052,014,218,351,561,721,715,637,
436,366,911,942,677,194,710,324,008,237,274,459,868,753,524,433,212,168,923,
923,509,374,971,731,254,266,350,943,910,811,923,168,330,926,901,427,891,016,
159,517,596,818,258,131,907,823,700,510,839,955,207,244,620,044,380,626,892,
713,053,937,463,274,481,983,208,032,361,008,232,182,676,909,263,536,196,947,
124,216,130,928,490,672,581,909,919,259,144,044,868,518,654,485,202,662,484,
383,790,659,237,927,214,519,365,332,012,930,837,500,959,181,833,808,303,561,
349,482,537,858,667,649,565,305,554,481,379,019,032,450,232,581,221,341,105,
999,756,246,444,823,813,676,440,775,660,138,940,200,241,380,206,120,583,190,
761,631,931,191,279,127,267,121,431,250,488,940,077,005,671,491,673,196,507,
124,966,294,522,435,757,578,580,314,489,671,924,891,478,074,758,835,540,946,
560,787,559,293,181,634,793,482,394,730,072,164,814,687,638,051,552,584,308,
664,605,176,844,914,488,307,390,159,765,253,010,421,411,308,304,062,821,765,
628,877,126,927,562,528,899,076,665,668,057,875,726,863,703,480,309,852,776,
914,387,340,479,260,680,117,949,952,551,941,745,241,390,022,700,514,425,867,
656,861,948,712,786,958,720,052,588,685,476,195,604,864,861,027,664,639,989,
551,573,895,358,503,681,378,930,111,642,665,572,808,439,412,921,678,787,143,
987,296,921,677,873,127,151,360,917,451,835,882,488,301,903,457,923,578,308,
346,895,891,822,460,341,468,715,953,883,576,723,578,576,112,721,770,359,227,
070,396,698,303,425,535,057,880,361,872,180,963,865,436,273,468,322,071,788,
323,293,522,570,713,877,990,992,384,074,334,649,787,157,361,498,945,446,791,
141,342,035,483,423,789,878,633,442,579,233,481,873,979,159,759,585,885,323,
941,432,069,879,462,793,502,229,338,678,884,481,945,945,957,634,687,144,687,
918,440,187,006,134,354,910,617,039,012,111,304,551,858,029,249,292,586,020,
036,666,947,089,395,184,053,738,654,347,711,974,407,796,936,806,568,009,531,
197,149,465,702,529,102,398,387,608,966,745,386,815,466,986,402,547,242,328,
235,789,247,988,090,810,252,807,621,083,361,719,888,520,790,320,659,815,924,
759,818,481,367,803,397,018,235,669,650,885,646,301,706,062,672,224,885,779,
189,263,626,221,299,144,365,483,710,498,547,321,026,004,807,787,045,360,348,
829,295,043,802,631,091,790,499,627,292,063,192,994,019,825,150,488,938,617,
849,640,659,972,761,529,027,959,401,030,480,624,140,591,296,280,059,176,063,
919,248,550,372,462,565,199,461,612,101,787,548,753,605,562,563,700,291,904,
797,058,438,694,289,735,158,394,210,768,571,693,060,022,901,211,196,686,137,
924,179,829,064,922,505,454,785,404,594,109,788,226,951,365,035,580,960,265,
741,543,596,506,300,669,616,308,195,682,044,865,378,609,401,392,665,478,125,
851,848,675,613,888,093,908,156,763,592,305,139,123,077,951,053,755,844,495,
725,338,653,422,975,296,271,072,034,869,174,258,357,074,631,291,213,572,909,
879,694,026,885,499,966,076,066,727,649,008,460,080,287,806,620,281,446,071,
152,646,290,600,709,531,273,354,678,998,448,771,371,071,998,709,759,311,170,
781,508,439,347,872,344,368,071,470,125,093,302,526,813,372,893,735,873,118,
932,658,657,137,608,537,051,006,538,907,670,522,931,135,079,021,176,501,217,
038,366,523,340,830,040,491,506,744,725,714,446,478,988,728,086,291,211,291,
972,535,354,905,180,307,400,838,684,133,491,847,426,783,098,967,753,880,588,
042,838,802,303,773,939,501,107,773,271,202,392,333,005,878,523,482,687,249,
503,400,105,170,943,098,761,752,462,125,878,867,877,136,258,280,924,691,755,
204,408,023,300,919,068,359,515,665,828,810,974,889,064,256,875,429,457,766,
506,131,575,352,116,484,170,012,439,518,432,392,634,042,238,950,884,053,775,
016,253,953,267,850,108,151,975,941,995,351,250,157,369,703,632,542,427,435,
093,713,481,457,706,802,764,617,257,473,897,740,751,203,353,851,576,511,409,
696,120,690,691,150,851,733,412,140,183,615,040,731,824,271,061,004,875,239,
595,947,684,171,885,594,227,329,461,312,882,937,312,090,474,161,581,385,179,
797,819,076,319,955,849,329,101,694,352,137,417,318,089,845,924,102,221,466,
720,079,113,135,560,655,487,002,075,020,664,912,392,111,455,577,041,914,503,
540,874,678,284,113,764,747,377,436,139,739,762,247,489,129,705,681,283,741,
426,305,692,957,343,104,500,188,845,897,635,493,078,709,743,506,543,220,860,
972,909,456,056,302,102,492,646,664,678,258,345,758,367,163,507,934,165,322,
927,132,472,708,188,896,507,333,494,712,913,885,177,587,804,350,464,472,950,
283,662,432,607,311,654,301,792,222,882,014,144,386,604,190,413,687,386,572,
667,221,906,575,008,458,335,439,432,375,202,891,676,573,019,447,220,873,409,
389,726,276,780,011,226,102,749,490,717,946,481,818,054,698,919,695,048,563,
436,835,949,939,445,577,027,376,880,722,016,498,901,925,486,526,127,132,377,
079,512,420,424,784,149,411,327,131,874,258,836,490,836,133,309,238,464,470,
679,121,408,011,488,532,488,669,646,811,686,001,111,584,865,937,437,564,303,
996,055,129,606,319,728,711,340,792,069,077,181,398,261,474,881,129,189,558,
892,565,305,876,864,824,274,881,556,212,588,411,069,098,179,033,424,155,524,
073,939,688,480,074,931,268,268,066,886,299,130,399,391,280,543,531,155,747,
928,751,664,169,015,012,604,693,015,114,756,292,018,458,646,876,491,280,341,
210,427,171,023,731,788,145,717,154,783,366,346,563,264,255,024,516,753,970,
028,920,908,407,633,273,290,718,268,795,933,932,823,026,309,200,115,205,311,
144,570,420,340,047,114,429,896,929,278,512,526,396,028,914,221,926,608,344,
747,119,794,103,298,080,476,677,810,119,529,732,356,618,074,212,283,919,403,
066,553,082,945,415,321,783,757,521,129,936,688,020,422,319,751,911,286,467,
085,373,460,190,304,614,460,902,488,685,560,471,479,428,733,519,326,091,150,
734,937,128,413,228,511,566,190,350,996,879,972,056,876,372,984,322,909,320,
727,964,251,981,663,918,338,347,165,455,731,349,317,462,248,708,014,946,103,
721,423,224,072,053,540,405,149,017,840,143,768,760,802,152,312,143,334,623,
923,700,657,213,294,900,013,191,062,961,979,731,671,776,310,068,382,610,605,
930,933,329,841,714,257,374,709,811,072,998,058,141,222,827,772,407,194,682,
796,412,377,512,835,891,808,828,656,954,882,012,516,731,063,152,077,627,893,
746,353,268,505,577,423,643,630,381,840,654,971,189,482,258,335,130,173,756,
979,571,595,726,377,676,329,611,429,108,452,213,674,306,247,162,245,773,208,
207,559,852,636,921,739,299,626,744,046,567,702,883,795,573,537,370,506,100,
968,669,589,166,924,613,235,369,597,311,769,184,709,969,509,282,546,699,350,
158,428,366,366,442,655,242,760,148,806,746,430,695,934,059,290,002,789,304,
614,847,399,805,322,283,104,283,791,989,220,243,714,767,206,484,016,470,732,
682,376,278,367,098,545,941,741,226,147,800,212,778,326,907,764,297,819,467,
806,592,868,427,850,375,931,132,454,411,587,846,840,745,181,808,370,989,188,
992,899,283,934,277,850,896,208,857,383,339,246,026,606,044,549,172,427,130,
425,176,063,316,135,764,000,978,864,762,306,872,892,326,272,622,929,304,709,
081,034,785,306,799,379,422,343,911,603,470,588,067,023,479,541,929,134,278,
218,976,414,875,219,279,001,802,435,161,316,730,729,959,270,485,126,062,294,
928,406,851,487,763,789,124,114,550,538,882,343,338,835,064,137,869,380,467,
130,625,749,318,644,986,287,513,111,067,371,478,287,256,380,707,571,700,422,
845,640,487,848,630,161,731,976,380,515,644,945,878,463,893,625,661,748,202,
921,859,955,826,828,928,646,762,386,940,977,079,842,453,422,046,175,338,710,
009,804,221,159,361,118,032,763,526,120,613,294,913,555,872,124,528,758,582,
975,117,147,390,523,113,466,082,761,407,710,709,300,382,054,499,043,671,443,
713,578,654,221,322,427,551,650,858,668,422,871,407,290,618,756,947,727,928,
566,384,959,963,728,104,046,313,853,541,415,863,610,405,505,784,993,762,096,
495,022,968,994,850,966,254,443,649,322,622,376,518,507,872,013,198,527,582,
214,480,299,393,896,987,788,481,276,746,065,555,830,747,276,690,703,978,992,
097,264,807,820,512,852,569,713,446,897,726,071,331,288,513,770,125,607,797,
969,661,451,912,666,074,837,245,948,572,395,715,168,741,361,222,163,282,536,
504,414,161,156,599,180,207,849,693,026,091,133,501,309,489,264,825,301,469,
138,684,365,247,350,120,519,958,512,435,698,879,174,853,957,573,772,627,557,
368,660,437,956,329,730,758,700,325,516,555,414,821,014,041,160,622,553,648,
757,726,500,892,934,102,697,338,118,127,419,399,308,055,206,353,526,400,749,
192,738,438,466,789,893,167,719,945,288,850,150,768,792,787,389,570,988,129,
619,880,808,221,445,461,416,074,079,988,871,032,514,139,015,461,691,479,954,
237,985,291,034,857,769,608,937,063,008,823,013,302,319,642,031,275,490,793,
422,474,869,203,476,598,700,527,167,125,195,092,926,224,378,566,250,916,642,
201,472,440,380,140,310,180,023,958,279,630,605,954,103,224,197,777,591,174,
999,849,133,901,631,897,293,928,189,677,067,601,582,269,482,573,378,413,345,
823,536,953,163,530,199,039,552,953,833,522,832,811,142,490,316,037,178,937,
287,343,847,613,082,343,404,659,168,442,853,324,836,123,883,162,637,770,418,
953,120,044,420,974,901,262,304,190,977,725,490,398,534,471,308,282,890,361,
904,371,217,394,180,136,809,700,492,969,465,096,022,262,228,302,605,843,010,
649,236,956,778,165,647,744,535,572,316,799,052,009,740,171,045,841,528,034,
160,959,241,280,491,432,616,405,995,124,081,364,189,429,987,365,323,555,274,
439,336,994,481,710,143,805,388,122,425,170,665,303,977,789,114,578,502,866,
087,679,494,379,043,046,333,774,209,281,577,660,645,097,640,020,032,901,049,
211,439,059,624,942,666,050,203,892,723,929,197,147,264,011,852,044,296,885,
837,828,215,486,997,813,078,999,120,423,444,986,852,894,623,159,770,028,430,
941,115,266,852,607,754,227,344,976,640,964,441,074,749,800,643,310,062,662,
010,029,664,837,322,558,236,734,024,620,171,152,581,884,429,184,468,977,906,
759,162,429,081,558,310,998,552,304,839,087,345,266,658,175,997,634,792,888,
484,109,188,197,208,821,856,373,907,496,604,012,812,331,184,594,718,149,067,
657,953,518,319,061,305,122,113,174,487,474,938,452,429,637,551,676,952,599,
082,079,187,162,998,961,516,058,483,007,394,315,337,916,569,355,922,747,122,
677,620,607,599,959,521,148,922,666,597,282,446,089,553,237,874,837,821,215,
959,349,469,110,946,925,439,940,843,957,983,890,834,678,500,198,724,277,377,
391,714,085,632,540,809,188,845,397,574,600,763,746,616,996,356,449,135,047,
624,198,125,590,445,713,633,541,341,997,193,987,593,476,323,153,692,171,553,
878,174,554,887,246,182,681,103,441,387,992,155,096,463,286,937,508,826,793,
560,373,949,545,170,344,124,107,407,428,378,820,553,951,822,084,060,350,190,
675,372,421,420,113,204,722,876,945,679,377,466,931,755,647,365,107,847,021,
082,973,650,869,831,003,725,853,447,101,786,687,455,674,092,942,260,926,746,
325,233,613,374,339,575,839,468,268,210,842,713,319,741,551,548,858,709,806,
289,287,898,737,531,658,454,740,407,354,082,012,353,761,231,952,429,579,186,
458,956,137,709,831,877,302,385,548,220,383,467,981,877,197,645,472,160,312,
739,728,302,478,631,542,374,915,915,078,039,620,676,648,189,191,149,877,132,
036,100,585,986,494,899,117,832,315,643,071,851,236,616,350,536,896,444,531,
038,523,858,569,018,367,932,972,288,666,809,454,144,053,379,775,907,463,856,
470,935,338,686,447,626,270,222,707,667,339,088,301,611,821,575,450,620,059,
768,068,701,131,826,996,229,235,159,345,498,832,537,558,932,953,112,327,592,
674,464,844,330,095,525,280,624,642,382,237,970,823,707,465,109,731,335,502,
451,480,589,392,485,646,134,017,681,293,359,910,013,587,974,997,521,754,757,
827,224,335,796,266,137,699,245,048,191,254,453,857,967,787,649,218,714,328,
949,527,442,523,667,744,677,757,131,413,019,011,774,818,894,797,299,170,328,
547,001,314,202,337,523,662,046,352,923,496,978,261,269,693,249,121,948,215,
551,367,632,320,954,723,734,033,235,467,084,675,078,112,703,774,045,219,732,
762,919,366,416,340,640,951,527,308,722,861,637,329,492,615,097,911,716,117,
217,539,249,170,378,260,935,691,686,772,612,674,066,728,826,896,296,438,933,
914,276,552,346,418,976,111,009,752,916,371,067,100,457,956,421,757,495,547,
268,408,730,642,212,791,900,212,236,841,166,705,059,352,370,802,036,042,933,
559,048,798,103,881,091,037,603,095,402,201,857,725,292,484,944,959,422,108,
657,460,935,610,368,579,131,330,482,437,408,287,374,846,409,074,248,075,215,
820,438,415,822,222,949,918,932,953,030,107,758,104,309,292,879,383,667,371,
954,508,473,578,331,924,026,357,053,117,952,201,487,678,809,122,179,298,316,
732,778,903,197,095,899,408,028,026,467,347,416,073,378,064,451,902,170,585,
115,389,542,488,572,852,703,013,236,523,299,373,873,490,518,926,506,649,846,
925,244,859,956,703,609,037,691,458,652,178,915,211,046,749,257,972,854,328,
187,322,842,910,068,995,499,827,067,703,137,623,095,259,956,862,735,422,427,
861,433,600,700,210,210,326,992,113,222,500,513,461,470,502,865,747,702,773,
454,865,317,399,840,788,501,228,678,100,179,613,737,999,055,575,515,663,138,
657,582,841,845,138,903,445,582,920,406,474,884,559,164,645,693,301,972,008,
932,708,265,697,753,453,693,830,224,885,598,682,133,231,793,080,645,201,627,
209,012,014,776,102,532,193,031,652,636,268,988,246,304,982,497,168,695,436,
730,030,886,330,865,249,003,058,642,235,499,666,927,299,114,555,968,828,668,
450,097,027,631,538,702,130,528,151,176,910,973,167,204,796,090,566,637,369,
271,188,658,708,624,068,231,605,277,630,279,328,888,136,198,859,547,994,498,
505,405,129,402,671,160,613,228,894,508,799,010,652,075,775,862,489,355,694,
628,416,053,183,290,254,518,216,004,483,286,093,863,305,938,495,635,243,738,
705,466,873,873,419,984,824,727,467,113,771,142,909,852,875,468,313,116,094,
065,469,817,995,334,958,766,186,581,854,715,036,918,863,415,810,713,782,290,
497,299,913,320,512,934,623,793,689,865,880,481,067,828,870,705,984,341,908,
976,352,219,061,350,788,887,864,577,905,803,896,360,998,453,460,715,459,759,
394,540,882,457,284,739,170,468,747,276,118,021,453,383,063,404,831,363,235,
559,493,299,311,458,920,543,896,307,250,109,721,171,347,903,470,370,259,802,
440,162,103,108,699,720,852,690,632,336,946,293,642,174,015,826,574,745,305,
553,336,887,115,089,980,157,541,369,873,312,651,991,074,262,760,901,510,528,
351,850,189,457,039,855,111,402,264,911,620,850,158,176,205,049,888,406,341,
966,038,807,428,159,264,282,158,188,457,946,471,448,213,430,610,678,511,742,
160,134,848,629,329,894,279,019,395,344,712,021,232,031,990,613,792,221,106,
645,606,278,439,655,821,311,473,929,908,251,467,056,084,047,669,015,516,431,
303,986,731,532,866,198,143,914,660,639,765,162,176,371,193,112,784,146,233,
915,219,881,064,321,668,177,678,511,047,310,707,758,726,674,566,290,085,269,
470,209,162,652,962,524,239,936,618,826,275,002,938,534,518,520,620,148,367,
475,206,811,327,516,570,424,951,511,952,547,567,547,800,268,562,928,100,872,
848,501,004,382,996,704,220,674,950,148,079,961,292,784,083,250,408,711,208,
312,274,776,052,587,779,197,668,934,879,689,724,872,427,288,885,993,224,639,
836,255,700,707,884,102,368,091,645,649,305,598,509,620,303,429,451,566,147,
129,282,820,315,198,131,787,686,732,889,081,848,247,127,338,748,583,436,839,
959,753,599,575,894,758,952,104,588,915,064,771,831,030,813,448,274,601,005,
896,873,252,505,526,198,629,559,263,523,977,401,762,415,402,067,737,416,051,
730,769,161,164,038,081,676,018,279,889,981,916,594,213,210,613,682,283,468,
452,525,463,129,651,869,885,665,614,267,740,253,527,753,589,755,599,721,432,
625,905,455,397,404,965,530,983,964,322,525,299,859,014,612,565,529,126,033,
044,332,648,047,742,104,108,453,568,327,578,498,509,608,620,885,166,195,706,
545,285,001,202,179,048,069,240,916,540,634,002,669,055,936,885,082,278,334,
789,556,366,144,804,202,228,361,942,392,880,811,727,544,281,940,422,431,390,
756,658,731,983,849,297,039,347,605,867,650,944,559,350,232,501,897,346,350,
210,199,314,305,164,600,374,264,882,315,152,898,418,114,493,798,418,090,385,
404,274,198,206,330,703,927,001,129,084,230,234,617,110,769,682,330,241,074,
902,097,729,286,561,168,253,347,652,970,285,833,020,138,529,372,435,786,627,
919,707,122,957,154,469,230,656,568,041,334,090,856,422,329,647,771,941,499,
619,951,046,229,408,567,777,683,528,015,193,814,761,417,196,445,545,702,310,
494,984,856,493,414,292,410,556,965,116,751,554,861,174,772,931,619,474,566,
372,678,087,514,692,833,544,216,999,929,443,981,307,568,524,669,592,072,918,
079,568,990,561,034,696,285,284,973,929,039,843,945,614,950,638,154,918,938,
894,578,801,565,984,395,138,713,276,063,314,691,961,100,082,405,826,974,880,
138,613,083,087,364,755,917,112,464,099,507,689,392,869,626,834,107,484,160,
235,979,686,023,039,002,109,660,769,849,396,779,439,143,329,559,863,092,418,
828,663,303,027,843,597,190,020,107,201,941,128,758,108,532,402,803,291,160,
643,054,573,968,752,382,667,256,962,808,772,570,804,252,984,108,805,891,614,
398,759,022,590,834,513,625,161,904,689,910,503,279,743,944,536,484,251,237,
317,882,978,406,559,512,182,462,683,766,222,616,703,081,157,813,290,756,714,
329,521,545,128,690,774,012,189,413,234,468,108,814,413,895,253,813,748,897,
736,222,078,589,885,012,967,160,936,190,635,637,083,526,146,043,258,061,649,
707,246,645,324,348,146,860,159,302,734,117,956,430,024,048,574,151,517,593,
206,787,426,696,368,591,735,255,024,336,903,216,951,880,090,551,726,804,459,
277,657,716,514,909,609,378,015,923,392,813,790,443,480,293,454,232,708,709,
043,154,787,106,535,999,285,139,487,208,807,678,944,978,917,969,349,698,215,
344,743,747,224,496,458,920,321,130,346,919,555,591,686,454,271,027,455,263,
889,374,187,307,166,774,291,385,149,290,130,874,210,595,977,561,998,009,961,
774,874,191,324,597,344,953,013,097,985,871,631,289,267,151,739,551,893,454,
861,534,789,462,865,739,022,921,254,200,120,209,205,681,505,153,443,181,044,
008,093,750,885,421,470,782,134,754,035,125,681,528,314,086,855,932,464,050,
430,418,928,010,570,230,683,412,539,386,355,068,614,724,954,723,515,598,870,
620,465,758,652,722,062,594,341,208,259,898,370,431,884,593,265,474,454,948,
937,827,359,184,012,475,141,798,630,743,839,524,685,073,805,048,852,650,047,
809,773,058,730,472,748,239,044,957,788,078,093,276,030,539,006,846,245,316,
456,278,913,553,420,237,765,812,557,512,782,521,397,160,540,004,597,053,703,
319,888,374,628,007,282,966,148,044,782,089,127,814,724,778,950,180,962,804,
572,948,440,950,972,793,729,469,048,438,939,322,524,582,996,073,668,328,763,
514,915,579,990,228,962,676,253,182,212,890,338,060,867,491,627,561,888,584,
190,986,252,669,792,121,633,587,902,884,289,716,767,465,921,717,282,478,458,
983,883,660,729,752,748,897,181,278,245,915,051,903,011,932,566,617,352,746,
509,804,331,574,339,547,101,294,092,127,743,582,649,688,286,773,902,048,341,
088,711,666,015,677,016,977,548,527,180,610,280,458,367,257,723,717,180,877,
586,503,400,147,449,691,428,293,405,045,931,997,845,563,079,754,562,362,138,
016,709,596,942,519,463,231,336,755,908,156,229,613,246,758,281,153,125,040,
675,624,871,256,123,120,325,563,573,309,648,369,950,204,944,254,092,215,668,
930,925,450,414,080,681,469,001,449,076,580,799,726,121,132,902,062,317,781,
457,019,123,918,095,494,655,827,774,667,653,993,603,696,679,275,901,269,036,
711,005,430,450,345,810,848,240,074,854,908,985,821,422,490,123,225,303,637,
177,509,063,842,443,130,825,736,223,478,890,610,154,499,418,520,373,443,780,
526,047,757,854,425,765,416,786,292,987,232,150,405,077,366,293,918,073,380,
352,382,344,183,278,222,503,136,573,900,722,752,349,535,949,967,180,548,372,
133,687,416,453,580,579,187,786,002,947,153,818,999,619,973,747,090,947,912,
511,080,055,495,704,402,712,626,810,271,456,631,768,259,615,910,440,919,389,
227,087,802,564,436,974,156,460,454,344,678,324,143,239,594,992,699,141,844,
774,101,747,517,686,018,956,615,111,785,401,911,105,708,379,350,916,866,858,
978,231,580,043,003,109,857,424,276,053,448,150,427,065,670,996,514,659,233,
496,917,456,874,153,508,543,665,822,120,448,815,609,656,113,746,683,250,173,
230,149,034,239,317,874,229,636,448,228,760,246,898,624,697,624,201,634,177,
168,337,190,292,442,780,712,195,415,291,001,168,882,736,303,260,925,640,080,
758,365,221,702,790,161,751,972,703,538,662,477,458,177,488,277,817,650,031,
931,899,604,334,009,890,153,451,240,456,002,195,491,025,192,892,474,308,124,
970,787,763,271,135,050,831,113,101,055,949,007,807,192,754,369,970,467,435,
644,560,918,867,087,393,476,038,718,654,645,472,532,532,249,378,881,624,265,
897,395,150,959,538,723,715,004,739,268,953,068,975,271,519,443,790,586,991,
733,226,391,876,894,401,356,607,769,626,586,522,883,553,880,369,990,405,600,
301,001,157,502,129,100,464,141,061,695,570,798,213,775,654,578,753,331,468,
411,164,139,833,884,345,837,902,897,983,413,551,475,965,485,235,746,411,035,
426,510,644,799,595,328,957,613,793,281,138,448,615,034,607,769,965,077,631,
637,329,269,263,514,610,544,701,234,537,896,571,287,096,286,700,206,576,591,
646,794,891,976,307,724,901,379,625,349,617,097,866,903,100,185,300,223,993,
409,888,987,079,705,422,688,693,370,183,110,609,183,587,509,974,906,945,371,
474,589,701,364,821,799,601,871,258,801,419,532,910,344,312,717,118,180,662,
414,794,957,159,238,409,674,861,070,010,536,236,240,228,070,252,617,694,995,
327,548,332,868,983,689,850,573,046,191,425,732,000,333,363,833,149,923,625,
690,419,625,594,700,507,777,115,473,458,644,849,924,601,934,931,753,266,421,
592,354,540,385,450,562,239,476,138,103,407,387,127,887,214,391,925,605,243,
270,098,660,634,792,263,852,835,151,870,523,193,264,660,258,360,754,008,565,
172,627,785,216,652,875,810,731,654,710,934,040,043,805,126,598,433,088,853,
042,538,528,525,792,254,998,381,497,663,930,729,274,099,734,845,385,901,275,
113,285,267,375,849,861,369,909,802,781,912,689,711,880,314,279,498,091,493,
527,453,239,491,215,947,814,790,134,565,832,692,337,579,448,099,094,069,563,
860,541,266,414,596,502,371,928,759,466,430,448,700,727,181,837,568,519,525,
323,671,526,835,004,538,727,447,691,429,467,928,572,716,811,212,003,420,614,
785,638,835,449,466,975,916,887,806,890,395,644,950,380,565,700,743,030,785,
654,266,746,986,721,366,416,039,019,876,650,525,717,669,486,109,637,985,283,
975,725,293,989,404,384,399,039,442,307,715,489,873,840,317,413,717,414,188,
264,067,003,492,035,429,949,074,880,300,879,458,420,734,094,532,027,879,697,
542,802,436,989,844,613,673,877,379,811,701,219,870,726,372,718,245,751,485,
370,166,252,875,666,287,142,774,379,043,844,894,972,300,236,937,446,663,536,
128,651,035,567,377,131,621,518,916,233,528,500,058,169,487,462,474,690,575,
763,200,288,924,968,341,373,963,996,183,152,433,665,275,638,708,638,668,814,
011,171,374,816,194,207,464,671,652,414,490,179,230,309,316,702,810,735,514,
826,656,060,706,786,857,631,925,732,876,936,126,613,747,543,549,248,592,793,
511,685,009,256,227,567,520,065,797,503,974,195,892,038,028,811,382,468,809,
091,563,038,618,374,719,870,807,175,321,344,644,122,508,352,721,037,435,771,
099,847,494,540,698,685,224,252,431,174,237,262,991,598,357,673,185,093,401,
851,489,097,968,228,619,308,139,365,952,872,730,020,403,916,774,661,142,149,
806,157,710,651,359,137,218,492,698,178,730,478,598,221,723,739,710,801,275,
982,602,677,116,706,941,624,770,238,218,690,212,206,417,632,655,679,180,295,
735,168,020,723,436,934,545,368,536,084,921,859,631,850,653,273,700,164,468,
923,983,618,076,068,814,608,852,793,312,048,058,777,078,010,928,928,378,160,
137,128,863,522,253,785,055,196,081,736,598,893,096,310,329,913,857,893,859,
529,359,207,368,351,075,770,862,800,525,549,120,064,445,278,748,143,686,166,
973,324,741,653,185,412,497,552,914,202,993,428,707,586,429,506,688,028,360,
991,462,950,320,512,250,989,181,244,353,790,973,113,268,038,604,226,376,064,
184,866,551,945,820,331,767,884,465,318,026,788,035,392,868,469,181,726,285,
235,150,414,841,141,840,242,310,467,173,096,829,889,467,339,476,820,988,149,
088,828,434,718,598,918,134,602,839,429,159,976,241,035,039,353,256,811,749,
558,706,292,432,921,488,971,332,391,594,068,910,594,672,194,987,984,596,034,
095,542,024,500,257,518,922,555,281,933,194,017,802,657,479,836,725,527,552,
142,606,607,071,734,378,660,732,832,308,230,209,212,026,777,606,484,826,256,
679,349,271,036,480,732,905,402,045,908,041,990,364,930,933,665,537,963,085,
901,586,491,826,060,074,709,395,703,065,621,751,919,239,377,821,185,977,633,
133,386,694,898,959,588,186,915,703,431,923,844,250,185,800,840,654,119,750,
821,915,774,388,461,173,243,948,187,892,314,064,130,644,203,328,428,136,827,
443,373,403,652,637,702,960,005,645,839,475,830,716,045,197,560,118,617,643,
792,962,954,051,398,062,843,688,636,133,977,798,994,410,731,038,242,361,495,
764,893,938,358,681,166,884,020,293,983,747,741,027,092,239,769,232,137,819,
861,011,702,109,591,532,617,728,206,424,587,708,776,254,343,162,253,732,081,
407,979,845,389,494,137,448,218,297,708,956,845,568,217,974,636,884,394,908,
828,130,669,803,867,033,103,941,651,673,399,220,087,840,289,728,930,129,722,
375,454,871,368,743,140,334,687,869,122,431,273,360,864,037,626,981,876,708,
774,712,940,242,416,751,161,256,284,736,458,420,084,752,275,013,851,818,334,
939,231,448,413,190,332,669,391,455,225,265,653,716,375,762,403,549,865,928,
637,905,033,552,289,517,043,231,130,388,650,053,375,994,047,286,800,512,985,
909,804,578,573,919,420,402,750,490,686,256,985,306,292,795,890,694,454,338,
847,706,626,686,575,370,622,125,010,406,137,249,837,952,382,130,811,466,190,
956,506,606,872,943,711,757,782,510,277,356,286,895,099,776,132,626,132,025,
588,019,800,526,759,692,601,608,910,866,649,225,857,281,829,197,845,807,167,
738,668,955,016,345,745,259,058,604,026,439,671,076,710,993,537,903,324,158,
689,952,003,360,325,928,430,824,075,096,412,467,038,795,661,397,988,725,856,
408,691,518,805,412,543,202,889,064,638,806,070,072,889,922,965,122,700,194,
820,224,206,775,968,334,298,675,990,481,341,871,026,890,852,754,948,454,808,
086,789,420,035,056,977,406,878,787,946,883,054,781,971,548,944,973,061,300,
375,921,594,718,921,129,169,906,795,175,915,935,277,312,257,537,667,856,073,
998,397,366,471,236,787,829,685,998,165,447,158,456,713,066,375,753,266,842,
088,274,727,094,932,442,203,881,368,316,943,384,798,511,966,987,934,284,073,
212,324,410,349,152,547,959,777,669,066,538,720,008,431,744,835,271,194,445,
223,425,762,742,887,075,449,078,645,820,615,487,009,459,200,369,074,153,886,
255,417,023,243,102,909,991,408,225,774,353,839,690,919,133,032,492,737,723,
406,988,449,507,904,618,378,253,929,894,916,131,864,832,579,529,332,906,094,
229,942,245,121,023,255,056,950,210,576,214,345,275,418,626,876,716,893,256,
522,543,521,201,589,709,040,574,714,832,322,156,859,226,205,036,181,961,317,
391,373,137,255,336,705,259,942,651,897,228,507,727,651,674,935,830,826,622,
323,983,599,585,347,545,026,020,077,966,493,341,933,845,214,362,782,106,554,
565,802,830,663,138,647,987,017,616,203,880,345,174,826,137,740,612,995,878,
794,274,326,192,452,358,948,887,115,986,826,874,886,305,272,355,241,195,555,
482,623,677,193,268,305,608,089,477,070,932,237,415,337,368,871,499,620,111,
300,261,188,172,759,187,172,676,111,761,712,361,137,872,302,411,059,155,155,
251,129,639,067,291,923,381,299,538,863,137,343,150,304,971,956,592,117,931,
332,682,286,494,267,841,316,203,755,759,036,185,795,458,586,042,785,484,713,
134,218,764,430,025,471,401,808,441,668,311,063,843,589,362,155,323,776,129,
227,231,387,195,070,390,802,157,512,031,546,959,439,020,522,639,800,638,910,
906,650,500,405,807,570,911,210,989,941,853,371,691,745,413,911,688,629,282,
514,934,231,787,430,954,753,035,486,712,251,354,627,871,216,428,916,534,012,
362,941,014,341,392,016,029,800,288,385,535,053,123,706,895,422,926,941,004,
566,741,127,836,847,921,395,285,195,139,368,558,934,962,527,500,149,896,830,
529,177,406,463,463,115,188,801,072,019,462,781,620,324,115,341,632,223,714,
536,739,691,446,028,767,008,896,081,703,187,759,282,176,487,016,864,925,106,
144,958,281,712,165,083,872,308,628,352,120,996,169,126,890,750,959,400,145,
702,349,804,376,531,571,061,256,870,156,638,336,557,372,316,543,986,039,175,
907,350,089,459,130,897,314,064,201,094,519,830,448,632,621,821,395,805,354,
513,861,104,701,849,196,919,398,632,665,801,726,168,746,139,640,940,630,326,
193,487,832,133,895,247,537,320,037,556,488,946,368,574,149,192,144,596,172,
426,384,119,237,671,275,347,734,483,544,786,671,098,607,694,394,845,418,463,
479,989,679,574,298,632,416,591,780,229,967,530,450,733,041,085,240,308,452,
578,251,524,718,139,300,532,200,512,544,416,534,680,095,521,479,275,838,087,
866,216,386,199,346,120,848,690,147,978,232,078,110,942,548,294,553,059,378,
854,997,833,497,269,501,869,993,204,024,463,581,839,587,417,961,731,355,428,
720,070,647,290,718,620,784,382,092,583,295,694,452,614,104,993,738,677,952,
124,043,312,656,366,104,657,732,142,997,951,247,390,174,666,325,550,690,612,
648,363,410,480,080,356,668,678,642,715,181,904,383,691,174,641,445,994,520,
484,712,114,041,040,087,373,798,112,929,118,754,541,263,669,504,795,238,777,
650,167,745,784,131,808,714,658,101,444,401,341,054,341,526,575,401,923,657,
603,895,110,193,251,741,191,321,496,308,157,538,140,016,351,698,508,795,865,
923,574,652,086,706,666,176,956,469,814,913,815,402,396,406,623,955,438,472,
379,913,436,881,648,773,213,026,038,614,473,398,978,058,989,330,090,561,448,
201,686,595,364,296,592,065,223,629,233,326,337,286,254,232,110,337,677,203,
274,637,214,787,832,918,464,322,599,566,565,257,664,662,725,204,913,118,938,
642,670,361,842,755,247,162,779,263,955,847,089,094,866,786,280,412,136,367,
033,160,529,037,767,545,065,203,392,107,855,069,423,745,431,583,813,968,691,
647,944,428,947,830,854,747,810,317,102,520,476,992,094,329,100,066,391,288,
285,463,199,549,064,653,537,784,116,906,525,387,804,318,352,212,043,928,867,
419,005,091,571,346,973,084,553,897,013,561,240,472,623,560,699,413,789,334,
535,689,715,184,079,138,742,924,188,428,531,860,237,391,921,046,754,750,231,
697,338,029,551,388,209,289,548,744,370,838,379,205,326,068,461,009,666,169,
500,946,077,845,752,974,380,424,889,671,144,139,280,498,201,296,672,621,737,
277,615,161,770,755,297,090,349,785,494,667,469,235,440,139,950,976,909,984,
498,177,732,269,272,142,212,720,189,568,777,553,123,550,173,257,184,541,184,
480,427,873,281,550,872,326,235,122,229,498,573,356,354,342,766,429,794,503,
248,911,583,472,084,536,331,188,667,070,646,807,726,266,613,603,096,498,237,
096,803,070,655,808,255,705,451,394,279,039,888,812,714,251,660,135,613,796,
350,552,996,980,058,792,192,320,864,819,355,921,799,967,375,876,963,112,721,
346,433,522,163,740,625,335,679,478,109,228,710,704,653,373,881,489,713,629,
790,087,247,091,800,798,361,135,715,721,200,723,523,718,386,374,773,738,522,
998,970,106,231,298,417,386,312,579,793,839,741,987,697,181,713,281,420,361,
893,370,799,657,886,117,860,516,641,744,437,382,885,066,148,582,946,895,412,
639,981,742,236,087,684,905,728,913,186,322,193,282,089,205,336,374,409,195,
232,182,476,536,985,534,548,776,281,533,091,969,897,164,964,495,070,660,499,
604,023,232,418,878,738,334,324,392,741,639,467,490,036,785,541,123,989,623,
325,399,256,060,841,866,498,669,212,044,979,664,898,987,812,153,890,582,913,
765,008,186,862,239,842,938,097,163,039,347,639,333,125,408,677,464,504,141,
570,984,581,754,621,484,628,415,700,694,932,348,151,338,360,388,522,664,757,
669,459,781,261,768,152,653,042,616,904,290,450,927,625,955,181,733,380,270,
508,422,494,271,255,945,957,412,824,078,843,615,473,200,143,552,257,350,120,
649,312,575,590,009,918,955,466,212,197,808,448,765,031,268,285,664,817,997,
860,486,765,799,211,704,095,756,319,122,410,723,023,116,054,060,493,744,145,
547,210,881,642,716,481,684,325,409,328,542,413,338,115,160,235,382,391,522,
905,206,640,942,147,697,546,325,105,632,504,164,254,481,968,610,345,818,308,
896,090,628,000,566,450,436,942,490,107,061,857,674,753,306,985,845,882,262,
573,934,568,414,593,241,704,808,674,469,785,580,075,952,293,214,330,484,414,
919,029,438,358,725,707,020,041,154,225,814,145,104,911,359,972,804,870,729,
652,428,491,074,148,768,404,840,274,653,924,958,628,732,653,197,695,255,598,
531,204,158,973,025,035,553,741,502,822,363,692,984,456,723,173,273,403,773,
274,197,299,153,185,183,187,924,342,064,936,886,631,116,515,929,646,633,557,
648,581,902,775,982,110,094,406,384,141,222,842,132,197,275,199,259,847,020,
190,261,013,228,911,374,476,331,999,311,483,397,298,075,130,388,057,564,178,
070,710,093,796,687,730,257,126,786,261,561,627,558,747,937,913,002,135,537,
195,367,812,503,831,998,573,737,808,314,565,573,544,901,879,147,424,937,248,
521,902,446,955,784,678,808,466,658,650,657,779,833,979,560,597,614,908,632,
225,516,406,092,477,039,486,614,130,897,446,371,909,949,094,660,336,687,830,
661,556,546,675,765,459,618,089,028,404,257,068,850,141,686,225,195,347,459,
545,155,158,651,510,373,272,823,449,546,017,912,887,400,104,864,604,464,811,
107,383,884,801,105,103,816,624,674,650,158,305,591,739,882,707,745,870,579,
199,998,695,527,220,257,710,116,241,583,666,672,772,529,194,844,284,798,077,
010,855,973,976,576,837,154,264,496,780,272,604,637,409,556,684,401,685,115,
523,940,008,932,303,285,145,600,006,375,579,057,638,813,414,035,534,931,741,
366,550,281,382,506,933,205,811,001,531,902,752,136,929,445,965,766,420,779,
510,436,948,604,183,459,453,917,341,368,357,560,912,934,783,234,995,440,110,
849,669,203,654,141,251,052,726,303,459,391,855,997,805,477,946,024,734,169,
891,839,531,800,727,908,229,380,634,773,405,608,550,703,721,147,665,695,097,
727,783,638,611,003,315,512,183,586,122,006,847,307,737,565,580,671,887,876,
592,699,026,491,450,429,184,743,988,580,002,256,052,988,985,822,393,636,849,
749,674,795,355,149,323,088,926,571,010,848,981,097,520,821,739,724,137,339,
248,625,294,492,134,143,574,685,439,972,819,178,438,491,699,331,082,510,063,
666,406,764,838,464,890,012,465,562,796,010,211,845,636,737,406,435,578,984,
620,424,155,649,205,324,428,744,158,520,203,185,913,743,961,833,697,049,018,
597,422,669,683,869,752,426,746,401,437,462,625,098,427,465,593,763,497,961,
946,755,935,262,451,067,227,298,850,294,131,729,050,662,583,127,860,334,889,
860,844,177,476,153,857,324,803,405,120,589,569,155,518,522,356,928,726,482,
225,847,954,468,136,664,925,589,609,968,418,089,716,205,956,303,489,751,406,
331,978,575,174,453,239,926,124,448,809,943,855,316,367,807,331,519,571,050,
625,706,654,197,361,091,212,036,946,020,689,078,341,473,326,219,647,391,959,
557,586,289,818,659,495,604,344,425,651,670,154,954,432,204,356,122,525,669,
081,300,088,649,534,037,635,733,398,232,195,353,474,348,074,765,365,827,499,
013,222,951,733,757,549,097,353,586,711,352,985,877,862,610,771,086,897,740,
380,238,191,232,568,920,956,962,323,500,571,129,590,294,725,494,269,134,876,
831,803,733,493,311,892,385,818,830,838,234,163,272,264,776,486,910,968,908,
325,068,993,956,706,601,152,777,355,535,246,357,758,463,374,774,548,714,783,
257,508,305,261,965,596,567,219,045,724,127,276,289,918,913,686,630,296,126,
078,846,184,997,935,035,255,456,158,786,165,199,677,214,284,474,330,407,682,
992,173,503,921,684,003,181,661,169,296,355,530,426,031,910,056,417,449,687,
476,117,327,286,446,940,586,221,283,101,235,697,468,576,738,523,570,185,964,
672,726,674,930,909,085,802,523,139,317,070,913,571,174,266,256,996,937,562,
718,816,155,361,765,877,752,519,221,797,707,975,093,805,412,613,288,151,454,
069,601,318,136,998,286,091,416,883,358,540,615,630,864,837,736,394,069,509,
372,052,918,533,516,639,352,152,163,493,730,478,165,866,051,467,527,708,862,
210,855,407,548,052,299,068,542,757,200,449,334,285,550,625,085,029,374,029,
569,249,434,418,673,313,350,794,573,923,138,077,452,104,864,040,165,499,118,
213,961,867,263,717,556,183,044,969,248,730,190,202,312,470,106,747,342,824,
243,218,272,107,122,715,003,636,603,116,581,141,093,914,983,441,377,503,906,
530,599,386,203,332,845,989,985,947,655,330,477,839,135,514,873,339,679,901,
423,637,544,706,371,547,030,385,451,820,622,003,541,368,732,029,742,749,843,
126,553,056,158,573,781,592,424,307,648,830,424,098,854,370,330,750,476,612,
581,345,935,346,718,118,506,852,060,124,097,419,831,928,946,959,106,405,322,
518,214,359,580,022,194,277,053,856,446,029,661,280,768,928,292,225,046,446,
979,662,780,922,318,758,274,533,322,040,300,173,723,172,580,069,491,864,083,
886,789,131,405,693,920,950,980,807,987,603,303,956,903,028,375,365,327,345,
902,128,873,253,058,455,136,780,965,166,324,238,441,709,133,939,883,722,258,
098,194,664,611,599,257,522,698,518,202,862,619,308,920,075,028,481,704,377,
614,078,565,557,380,588,203,547,216,273,073,979,392,106,698,793,705,887,987,
453,767,064,581,508,837,380,817,795,763,652,970,015,245,431,267,366,968,403,
051,350,989,213,006,034,442,806,220,208,951,898,805,197,151,817,162,060,227,
047,836,242,936,613,618,084,027,799,512,786,935,232,198,036,635,600,543,441,
085,743,708,881,892,816,790,334,415,720,501,389,667,422,673,839,747,328,454,
813,620,061,041,310,326,757,114,766,282,619,916,259,421,901,236,843,860,947,
203,350,670,899,169,141,236,724,205,428,755,476,535,391,663,875,224,640,562,
867,296,806,294,443,162,637,534,440,671,769,941,778,371,972,328,077,569,649,
893,358,183,054,339,035,217,173,736,000,129,142,704,801,707,837,124,990,845,
754,246,851,688,136,686,803,148,941,423,558,921,348,770,710,026,419,504,635,
737,807,703,973,795,977,171,124,460,194,582,418,279,802,874,942,820,910,090,
970,909,117,614,143,109,360,700,683,472,176,670,568,427,674,391,874,456,002,
135,836,693,881,220,269,949,068,954,895,017,957,640,861,502,044,468,461,473,
592,488,413,531,282,871,033,140,382,424,345,693,317,859,401,798,158,098,573,
873,161,662,925,369,890,750,009,891,021,782,811,228,955,613,747,021,237,923,
614,487,280,171,104,394,108,478,289,014,452,879,251,565,718,438,315,102,153,
733,762,582,372,300,482,333,572,676,862,241,601,175,884,912,853,987,680,595,
630,754,654,022,418,525,554,357,581,158,234,328,399,871,613,663,365,067,999,
442,556,873,236,278,822,504,856,560,416,806,256,312,054,108,533,019,861,238,
102,789,208,404,434,088,669,789,082,143,345,761,648,661,703,458,195,967,608,
042,028,928,751,975,278,078,044,370,641,075,172,300,208,342,434,281,075,183,
281,782,171,028,448,386,741,392,564,050,747,457,894,101,621,643,528,663,640,
828,402,532,338,932,399,207,026,629,212,216,460,368,416,516,847,287,982,614,
111,618,510,082,552,982,197,983,513,143,420,301,008,555,865,898,167,318,397,
056,566,439,248,297,596,916,714,889,649,871,220,975,490,479,839,552,254,446,
105,490,928,421,937,170,710,431,307,840,704,318,771,701,496,628,800,103,971,
347,141,776,329,728,044,565,706,218,952,891,684,124,192,142,938,334,017,376,
242,965,701,921,786,661,370,363,603,345,849,064,476,056,872,079,558,160,545,
949,495,161,016,316,734,097,761,494,541,547,269,385,712,240,999,418,178,565,
724,771,505,340,399,626,071,125,045,783,599,983,346,172,856,915,899,033,659,
239,489,843,928,782,070,462,816,667,407,550,695,756,340,930,303,798,879,953,
374,738,489,721,931,523,714,441,242,908,843,615,383,798,701,207,690,123,055,
727,132,470,270,928,587,682,495,809,676,959,133,291,923,718,113,203,077,314,
828,087,250,251,980,136,259,980,275,065,133,310,218,748,080,210,081,303,997,
555,170,758,237,957,087,636,794,878,103,519,548,822,913,103,903,101,058,563,
978,820,432,226,204,174,915,097,195,404,536,247,315,650,148,227,631,182,903,
511,042,870,979,514,129,086,067,702,844,689,615,024,051,701,522,835,619,481,
927,439,422,194,270,302,260,026,620,876,040,239,918,309,875,393,396,386,408,
640,009,157,520,210,731,395,369,582,447,424,514,592,348,616,627,988,785,389,
677,554,321,706,814,637,049,307,078,472,485,499,337,803,634,498,299,475,885,
540,470,639,040,033,416,563,378,640,470,078,556,945,183,841,400,938,043,219,
673,180,741,759,834,267,698,823,417,075,519,838,081,736,292,860,151,527,695,
515,668,864,290,461,485,562,742,507,301,508,112,936,298,884,407,225,304,086,
413,916,330,285,131,362,838,619,559,352,448,327,370,674,001,106,703,456,088,
347,370,363,461,399,668,351,479,744,912,095,923,629,229,336,417,709,234,670,
857,996,628,460,475,723,230,528,265,709,517,600,483,969,234,525,905,109,225,
599,462,607,680,871,916,076,940,191,738,178,863,694,630,398,199,499,977,595,
090,170,061,148,701,941,406,323,570,073,433,284,534,429,113,155,342,648,540,
254,703,189,094,877,331,402,605,705,456,749,526,978,213,757,153,693,671,031,
362,034,344,042,176,825,698,056,251,921,944,980,923,180,714,134,135,027,945,
357,839,038,452,367,846,655,571,446,954,033,347,994,965,132,616,151,963,969,
648,425,726,864,554,646,313,198,568,548,665,186,323,988,564,166,089,867,090,
788,317,898,935,104,039,449,519,826,945,819,084,832,401,193,327,969,001,274,
821,807,198,093,223,108,289,127,253,199,976,010,559,363,946,660,752,461,354,
607,798,752,049,984,527,040,629,644,055,347,509,094,003,812,839,710,123,172,
849,481,121,801,170,108,952,798,443,137,864,451,281,680,467,222,458,140,238,
094,355,205,770,650,383,846,109,421,735,838,242,710,875,108,580,096,108,667,
675,009,458,581,914,111,881,571,717,578,872,047,162,158,088,442,981,762,312,
597,594,983,058,278,776,351,676,647,536,656,034,722,908,476,982,459,636,804,
697,269,245,601,667,291,932,790,375,867,821,676,979,634,357,525,317,952,241,
357,462,933,885,933,327,858,457,832,835,337,914,704,348,549,829,382,176,393,
609,103,685,438,151,704,592,045,820,231,910,661,618,045,633,021,887,260,652,
307,477,058,416,234,866,026,290,944,042,265,383,436,363,524,207,768,103,773,
216,755,555,606,003,458,553,743,568,730,495,098,193,766,789,276,449,601,989,
752,816,774,374,771,380,246,446,089,048,138,044,393,617,940,651,326,514,113,
249,430,330,089,739,641,030,425,939,786,043,881,560,562,187,332,733,670,486,
677,334,541,401,905,361,151,963,211,675,503,412,222,304,046,503,594,054,518,
745,225,777,114,353,385,928,830,623,305,929,530,515,884,442,644,599,950,974,
793,513,654,410,799,567,075,612,800,215,564,651,261,064,923,354,611,359,372,
017,422,894,437,944,626,368,309,297,371,574,890,585,571,063,780,092,985,429,
862,643,895,285,073,765,256,626,526,398,447,072,726,468,010,617,712,600,543,
074,897,649,219,866,360,161,150,899,349,028,232,165,386,529,395,047,818,909,
755,028,395,764,284,101,929,059,379,918,811,077,383,693,335,212,524,989,980,
612,418,079,772,697,522,877,601,437,895,124,627,626,127,325,126,039,899,743,
464,596,881,609,770,205,175,631,689,756,159,334,278,898,252,107,738,608,223,
452,784,987,042,305,001,604,205,264,567,940,571,262,976,394,788,205,519,350,
253,818,050,092,411,174,945,031,569,143,138,968,454,420,730,301,996,951,170,
217,350,484,005,437,072,093,361,764,169,057,691,251,720,277,631,619,079,000,
076,505,387,204,576,361,932,065,100,071,034,497,306,871,074,084,018,568,806,
723,930,552,260,050,708,952,944,243,008,991,097,650,665,519,995,679,846,724,
888,260,681,556,970,084,304,012,840,850,669,837,403,027,959,934,509,862,310,
331,021,964,362,918,742,947,226,609,455,781,402,465,868,102,381,184,628,504,
808,469,710,211,368,507,457,307,435,227,798,888,807,523,970,096,054,304,787,
508,285,716,851,247,381,827,050,400,477,626,676,758,995,708,760,193,666,333,
023,734,538,636,341,480,755,555,562,481,970,932,848,899,375,675,843,815,053,
792,052,186,151,822,964,437,105,942,920,463,435,121,224,226,376,911,067,668,
165,956,904,277,509,966,401,812,378,460,858,065,520,307,019,107,914,813,066,
120,914,995,263,728,050,554,926,814,250,910,700,908,201,236,278,870,562,452,
371,888,885,290,342,198,430,928,540,795,969,740,801,729,923,913,205,520,556,
916,373,616,183,985,810,569,349,714,150,138,802,730,519,752,612,678,607,408,
056,864,335,915,145,961,480,216,587,246,868,819,801,354,213,626,801,041,179,
131,855,022,894,286,892,832,769,378,366,507,053,285,775,889,809,334,927,702,
217,416,349,397,074,644,530,641,435,466,353,421,174,547,403,915,684,923,286,
675,775,864,861,202,111,151,057,449,079,271,226,890,617,932,285,110,307,197,
994,650,186,074,769,026,164,109,646,461,128,319,636,668,065,755,337,224,019,
542,640,780,299,072,911,687,852,324,129,594,975,070,592,254,808,068,367,020,
632,042,372,248,974,421,748,706,259,784,987,008,652,205,514,379,164,981,399,
154,310,915,062,952,962,596,653,674,936,281,783,681,962,863,277,419,306,999,
490,351,679,205,826,464,734,118,856,634,666,068,409,498,417,340,836,694,549,
513,280,336,932,091,828,289,936,482,919,676,001,477,715,058,501,279,542,934,
694,794,599,928,984,285,535,771,577,268,481,298,897,143,867,992,368,682,236,
938,156,907,363,405,000,095,875,703,696,533,252,768,352,935,430,964,454,107,
144,871,388,130,401,252,050,457,178,874,352,182,200,716,506,571,675,572,929,
162,825,962,753,113,914,466,920,343,124,022,852,527,389,235,047,989,108,460,
831,307,417,388,876,921,187,350,106,782,786,230,263,255,646,424,211,966,044,
485,802,523,276,228,743,062,365,749,610,250,343,638,886,272,936,100,589,083,
294,127,567,867,335,285,178,033,383,658,113,572,277,870,681,468,073,882,806,
044,407,675,512,204,192,112,942,781,843,996,311,099,954,407,960,395,981,405,
518,320,919,859,947,968,646,107,911,952,098,343,641,407,192,811,034,047,437,
507,537,467,981,348,566,029,318,363,556,174,252,786,557,031,818,301,238,592,
349,327,862,749,135,970,220,727,287,221,958,210,192,468,179,822,978,478,401,
955,860,240,649,629,299,052,659,616,016,026,036,911,882,488,300,087,516,579,
428,884,783,055,529,356,682,766,962,522,636,996,310,895,527,193,357,736,791,
377,072,401,772,407,930,911,890,070,042,137,605,026,923,188,590,829,103,157,
198,099,952,003,591,148,291,574,492,593,835,640,596,481,028,830,842,667,015,
840,265,032,203,039,407,356,914,435,987,484,093,262,338,646,370,093,914,089,
989,138,727,626,806,411,785,117,152,709,646,866,110,791,476,737,813,937,284,
816,059,833,964,077,031,203,197,297,889,175,380,792,795,939,733,478,972,057,
482,822,100,753,088,212,180,919,188,258,130,906,307,252,970,952,380,105,577,
848,181,787,406,475,907,562,995,494,800,894,995,173,446,874,546,684,142,272,
692,598,772,814,289,874,205,259,811,474,614,025,563,160,483,519,794,168,615,
025,682,971,037,851,659,349,980,911,520,902,740,613,158,976,202,867,016,233,
740,752,321,316,205,947,283,127,162,380,691,600,191,778,294,469,121,617,584,
490,421,297,512,740,050,719,938,524,055,543,507,344,947,397,869,886,652,812,
867,901,374,914,985,351,938,528,098,239,712,725,844,359,013,850,958,520,927,
604,818,483,803,276,831,890,713,273,394,463,260,219,285,291,583,127,181,442,
122,769,448,251,973,678,318,477,783,587,724,864,291,002,801,280,751,620,618,
449,886,151,222,492,512,366,953,995,501,239,108,035,254,089,499,821,579,562,
708,757,763,962,342,507,460,191,047,262,188,665,067,539,522,221,766,884,952,
178,800,224,087,586,198,371,321,526,901,671,291,442,195,184,842,397,613,838,
731,050,931,805,882,269,469,613,820,976,193,882,164,494,424,001,014,141,807,
615,141,978,102,401,878,740,134,462,601,412,965,130,888,275,690,199,624,141,
129,219,765,202,154,116,628,152,600,714,254,937,862,521,641,555,192,766,204,
216,258,811,867,674,561,614,701,229,641,769,808,603,602,547,849,284,879,943,
989,358,186,845,401,573,315,468,898,708,644,777,566,848,848,379,942,293,349,
673,971,980,026,026,420,144,446,534,248,532,711,035,727,484,546,474,625,176,
341,349,288,455,301,632,163,886,460,992,653,517,886,002,658,628,252,826,214,
166,397,604,715,887,996,423,994,363,324,799,588,681,738,646,871,097,250,593,
238,464,814,377,450,646,280,867,935,126,197,163,407,563,264,980,847,336,858,
451,709,803,250,957,999,320,176,260,990,739,432,691,625,436,040,123,289,159,
832,264,153,408,175,319,435,465,781,432,936,762,842,682,090,984,350,472,321,
673,437,948,347,109,533,885,081,153,682,017,971,424,191,015,461,618,157,230,
828,286,859,210,992,769,062,203,009,786,041,992,668,412,313,264,036,207,832,
067,313,705,854,021,926,153,144,116,045,156,403,110,732,259,366,016,190,695,
993,219,086,742,574,539,686,899,428,704,995,388,115,059,130,972,032,036,605,
420,687,897,998,306,680,578,471,706,906,104,231,993,572,710,768,978,827,288,
754,324,237,952,756,452,688,043,871,785,534,142,999,386,964,963,578,124,555,
728,335,406,431,513,694,991,243,328,018,282,545,873,282,507,674,835,033,193,
533,699,068,831,794,656,363,978,604,397,695,862,947,157,914,728,495,709,660,
620,296,662,785,119,828,759,216,351,402,329,753,276,289,832,947,255,926,109,
092,763,326,831,093,231,926,863,517,215,992,074,438,384,656,556,283,859,096,
375,554,893,207,906,000,398,235,392,593,791,685,423,844,598,618,954,714,857,
526,338,041,471,754,147,563,112,535,326,458,537,340,622,854,443,354,638,151,
021,275,151,086,509,359,100,757,321,121,521,356,569,191,316,806,559,397,995,
916,932,599,832,843,350,007,530,596,406,370,577,677,256,775,319,012,388,013,
079,656,237,347,723,600,223,240,219,892,699,113,596,155,456,500,954,303,332,
887,296,082,847,885,565,084,904,785,188,837,931,590,005,184,103,081,040,290,
807,639,673,865,322,592,388,426,141,308,711,541,762,230,839,671,360,162,990,
242,849,048,084,090,391,751,958,783,493,702,681,394,349,871,846,535,200,291,
845,904,790,111,493,501,655,965,187,409,327,930,285,547,399,975,865,567,854,
640,578,396,128,228,015,495,448,643,399,402,231,746,712,999,352,274,462,959,
080,540,699,763,082,964,551,259,216,823,085,944,952,397,911,369,839,139,934,
213,575,374,851,362,778,107,289,383,580,341,566,519,700,783,269,352,823,446,
680,844,998,137,192,765,462,341,995,290,063,482,102,687,538,340,585,240,301,
951,890,909,530,739,318,083,946,052,087,820,513,650,385,555,481,210,304,378,
949,374,826,739,548,172,314,444,982,062,147,833,930,583,921,490,569,538,228,
574,836,614,616,369,565,688,958,375,348,346,502,499,040,090,386,622,346,028,
619,951,458,530,680,494,081,256,215,536,580,859,916,891,474,942,904,276,640,
167,871,194,382,487,699,975,964,697,057,261,429,946,811,597,223,601,049,653,
755,322,570,469,013,514,154,384,784,246,630,211,128,862,388,642,110,915,839,
208,682,250,254,372,221,525,230,273,667,043,801,574,935,439,085,476,125,614,
002,051,693,625,189,273,648,434,311,739,826,258,451,021,634,597,515,001,333,
162,098,281,133,299,944,897,457,307,814,511,646,742,634,927,109,431,615,579,
286,586,013,736,812,306,347,105,777,318,066,594,648,829,883,900,506,505,252,
658,139,505,598,206,053,123,021,896,919,441,005,798,420,793,613,146,025,945,
909,190,810,036,956,537,172,064,948,892,553,387,246,817,617,189,567,386,706,
082,637,464,721,102,800,555,309,350,986,612,779,189,552,144,460,564,820,282,
266,220,667,744,802,152,831,483,304,326,308,797,321,126,546,838,094,305,696,
998,671,477,288,037,744,692,206,714,142,975,896,757,016,532,347,411,492,319,
957,498,850,559,400,322,358,849,414,115,536,500,348,654,166,417,589,061,771,
210,228,499,763,384,835,128,126,845,517,182,758,302,312,783,120,711,493,932,
470,754,599,645,655,401,810,356,746,301,682,796,432,692,892,839,793,110,280,
535,848,857,688,506,957,568,055,301,882,683,203,563,102,464,721,428,931,337,
720,916,607,571,096,883,529,397,077,557,748,520,850,348,746,815,312,669,136,
997,678,923,927,022,526,231,569,032,638,682,361,970,283,777,528,531,615,996,
202,975,828,823,661,326,171,862,222,517,933,797,594,981,916,247,848,265,245,
492,082,516,485,873,626,880,045,474,516,735,800,941,845,635,487,513,283,544,
803,264,618,281,869,441,122,583,418,765,008,094,967,549,019,158,005,842,294,
667,919,498,352,138,353,589,351,947,082,120,737,420,176,906,235,068,149,315,
716,367,279,081,013,526,096,606,958,607,733,504,258,058,001,052,467,839,432,
586,745,887,299,505,547,739,718,180,388,964,822,012,897,283,446,945,300,030,
875,043,557,804,969,779,907,472,776,686,630,641,025,952,385,265,374,222,019,
132,709,859,870,900,038,990,325,404,346,802,751,550,515,126,605,580,296,251,
634,526,522,507,651,871,773,868,514,655,425,089,393,110,315,938,469,736,069,
466,260,088,429,836,417,865,016,657,817,502,103,220,332,246,921,602,243,275,
880,208,743,701,272,989,247,697,991,394,492,219,510,912,547,727,218,459,474,
839,776,837,089,186,493,706,619,255,987,389,782,659,184,365,950,756,445,262,
133,983,484,929,488,813,863,079,142,572,285,635,663,989,576,884,573,944,886,
754,731,632,453,982,099,967,529,627,094,320,390,886,398,257,919,417,137,365,
888,194,957,930,784,886,324,636,809,597,734,824,499,356,338,519,032,725,679,
969,621,689,069,573,254,606,056,368,656,330,377,068,774,871,509,292,910,375,
345,092,089,811,601,024,103,944,644,911,609,835,002,643,766,686,932,909,867,
269,340,122,913,829,499,286,991,389,190,981,901,479,757,030,897,638,392,453,
371,987,294,778,010,871,025,501,745,176,382,407,917,417,330,513,034,301,833,
397,341,356,658,946,986,434,697,190,465,533,856,066,178,702,089,556,558,780,
430,192,502,945,940,973,948,182,806,164,170,032,534,518,553,949,109,568,978,
334,327,562,025,155,548,929,148,794,240,565,218,345,069,456,433,070,404,777,
420,827,726,737,324,752,871,607,072,192,914,669,103,145,277,065,020,449,157,
512,659,856,387,440,583,646,585,631,080,440,164,172,920,267,329,709,669,740,
968,284,865,061,777,928,362,188,685,476,966,575,950,559,462,744,932,130,100,
572,093,602,724,458,809,237,802,504,487,242,121,424,728,265,413,966,048,683,
878,108,025,393,827,608,428,794,533,949,848,305,982,089,122,698,870,396,490,
373,263,542,195,791,437,663,503,933,652,409,833,673,431,129,903,304,639,588,
193,745,751,258,838,630,297,750,141,088,229,691,189,419,096,760,032,156,259,
503,916,930,429,154,648,495,300,137,991,790,935,703,621,618,279,412,911,634,
009,765,218,390,353,775,024,525,498,020,839,359,486,003,781,983,059,956,824,
520,345,731,130,684,925,814,695,643,153,556,546,192,762,053,731,051,098,923,
794,984,312,315,198,746,285,561,527,364,564,973,958,360,339,950,073,081,003,
033,240,497,864,527,228,268,711,780,262,513,113,922,259,666,450,708,568,075,
603,809,568,906,054,745,920,733,957,986,393,954,836,396,321,469,746,435,313,
292,081,521,052,913,009,870,142,687,823,246,635,304,908,034,611,773,997,979,
610,873,284,094,661,438,164,449,287,061,425,418,619,681,514,497,472,892,349,
925,129,706,202,888,131,486,112,334,816,742,724,464,064,191,864,821,075,609,
809,522,189,257,394,772,400,720,088,344,749,681,775,509,949,495,208,544,328,
732,483,931,986,896,081,636,032,830,216,421,732,155,785,924,727,287,325,420,
627,503,786,893,070,243,467,201,472,075,874,027,272,688,996,750,146,879,843,
037,994,600,224,042,569,641,128,895,748,585,719,503,964,763,266,108,993,788,
886,629,812,661,340,218,544,697,879,060,524,973,564,931,935,190,534,954,604,
949,202,295,852,852,272,243,758,482,483,602,030,761,971,915,787,711,677,267,
314,739,389,836,750,951,722,116,199,999,572,956,886,838,152,034,099,125,228,
875,689,816,043,386,665,361,635,675,781,723,081,263,257,717,197,772,616,289,
339,157,869,813,435,198,480,603,792,601,467,704,093,414,098,233,234,729,990,
378,815,883,250,094,136,016,356,772,548,705,885,999,085,998,160,877,535,029,
173,199,351,726,186,265,926,388,697,392,711,793,005,744,761,457,381,393,108,
435,191,061,945,399,668,592,050,094,390,959,722,545,844,438,886,135,604,744,
511,481,210,596,964,147,639,857,423,256,429,642,212,200,451,836,904,911,536,
247,623,314,277,116,050,512,696,459,162,113,598,770,500,640,583,115,896,341,
719,403,969,997,401,360,349,571,424,742,624,951,495,102,459,607,288,083,351,
498,413,270,410,968,139,097,303,619,281,183,134,095,570,543,598,795,913,390,
894,147,279,810,063,531,396,889,896,323,913,223,272,666,048,092,751,945,969,
987,629,292,765,499,268,412,781,220,692,619,526,486,465,066,812,272,548,535,
875,434,393,902,935,320,269,151,028,733,601,071,217,303,128,872,238,255,254,
870,917,746,059,914,208,850,032,602,590,978,989,024,268,703,968,280,866,256,
578,273,749,896,565,073,920,020,899,252,477,816,625,612,888,898,348,519,456,
002,805,950,858,029,181,191,178,057,069,024,665,672,294,350,708,627,407,738,
620,626,804,245,255,708,831,705,635,755,514,558,420,690,045,121,061,511,618,
194,156,119,502,863,742,110,439,188,238,439,775,254,662,239,866,648,159,476,
963,967,132,118,662,500,610,414,018,918,180,786,059,529,368,331,832,197,501,
735,089,201,431,076,104,162,103,977,559,233,208,935,677,859,560,080,321,791,
916,398,045,784,055,564,924,406,502,974,109,824,805,181,874,720,762,845,511,
651,839,901,491,956,871,973,910,030,882,653,381,809,110,607,945,816,979,096,
075,057,045,574,975,647,382,441,096,740,300,548,105,970,569,901,591,643,046,
462,103,148,606,965,897,991,592,135,797,919,821,131,913,695,446,671,793,228,
381,587,553,308,457,089,564,829,976,408,404,711,753,947,979,886,847,384,739,
762,976,774,616,349,238,116,477,839,875,532,418,078,179,287,111,805,545,174,
545,632,144,718,437,233,720,869,335,250,161,093,254,932,936,456,082,987,726,
405,757,096,211,040,485,404,786,710,351,453,396,938,169,172,808,590,642,557,
483,182,196,811,187,405,896,552,421,684,214,198,130,322,209,276,463,229,327,
059,547,780,205,770,788,148,679,994,438,880,143,217,048,998,033,010,785,141,
560,809,335,140,701,894,092,094,777,683,171,965,565,507,291,968,367,302,626,
744,631,914,423,578,134,442,241,724,385,533,359,478,457,149,009,096,015,135,
485,849,223,271,583,799,750,556,297,307,193,286,120,881,856,757,324,098,847,
063,031,697,402,077,209,197,726,873,947,863,403,281,372,354,126,306,981,381,
046,689,674,309,731,648,998,898,066,104,566,035,947,629,386,919,363,108,404,
999,019,843,940,762,027,430,799,983,986,782,138,569,382,237,838,072,052,808,
221,888,833,081,660,024,518,079,909,552,874,917,356,131,310,122,005,347,806,
364,064,024,604,356,448,911,772,312,291,105,912,969,030,305,179,248,122,947,
054,380,753,373,891,719,279,018,711,614,710,729,841,858,324,196,779,178,716,
733,187,895,114,457,180,074,627,428,044,206,098,985,086,636,031,586,712,277,
673,885,332,578,649,676,189,805,112,243,555,789,253,368,861,626,770,180,566,
677,050,154,438,068,920,629,283,771,569,292,304,213,251,024,251,532,880,283,
483,460,882,697,501,949,712,660,810,030,304,376,592,826,096,980,052,411,072,
301,389,978,904,320,136,386,989,304,859,594,960,063,329,453,677,970,832,466,
466,021,484,281,135,895,036,137,617,228,849,038,839,335,721,911,948,486,980,
230,346,123,093,308,801,522,994,232,614,092,663,379,743,735,851,152,959,562,
127,016,452,446,601,779,210,229,488,151,781,515,505,330,457,459,419,265,588,
734,756,641,416,723,559,367,513,493,455,682,276,647,196,539,661,554,909,972,
357,761,942,562,192,202,489,075,471,685,368,015,035,547,096,868,441,487,157,
333,552,021,636,579,485,972,310,187,618,569,778,729,910,849,957,893,559,034,
525,466,597,581,511,148,569,159,287,807,362,180,462,370,769,488,852,489,665,
132,101,150,900,578,809,359,348,999,354,870,913,264,881,172,745,320,588,630,
459,730,744,984,233,751,073,638,976,225,640,771,906,516,956,868,852,401,431,
788,101,666,284,852,512,836,422,727,965,332,710,759,133,330,591,046,404,226,
657,921,889,243,600,866,986,936,660,282,416,903,889,469,988,048,808,308,829,
567,215,703,259,760,677,843,234,988,699,494,417,668,968,920,514,013,855,576,
678,409,007,061,645,083,775,632,918,212,827,200,932,074,502,143,950,178,477,
055,689,513,848,722,767,663,708,150,422,212,615,870,097,598,233,756,721,472,
972,338,158,711,961,161,426,248,452,510,669,277,778,443,163,006,720,509,297,
808,524,107,029,853,388,903,019,015,639,904,892,735,059,827,577,472,532,574,
933,225,000,300,457,963,699,854,797,485,674,683,610,488,001,511,238,612,562,
225,790,221,869,287,236,838,423,282,461,556,986,039,735,932,833,927,519,123,
889,241,904,396,185,241,549,528,270,364,114,378,607,904,185,920,657,974,804,
815,582,323,061,692,951,178,834,473,077,204,146,505,481,360,701,487,310,615,
673,169,097,141,811,234,540,179,510,404,205,094,239,410,355,253,997,335,643,
436,945,588,739,958,719,902,624,595,894,410,471,209,404,733,634,471,619,247,
783,417,597,857,220,913,732,696,646,285,271,425,345,180,775,574,749,829,484,
232,325,676,588,097,088,643,818,566,356,495,759,562,450,043,186,781,736,413,
165,275,090,633,660,390,176,333,913,340,847,192,784,572,068,765,239,373,923,
388,558,757,334,860,851,459,632,756,042,178,972,925,501,694,753,887,060,045,
999,347,923,788,725,813,984,804,650,856,823,889,104,785,621,386,432,164,456,
464,062,087,705,097,136,003,340,701,826,381,404,639,474,412,002,615,757,034,
496,702,088,701,183,173,789,989,036,907,242,946,108,751,669,343,159,970,455,
274,812,487,622,569,177,155,262,250,598,312,529,121,918,466,898,481,560,561,
538,109,458,660,092,430,155,358,889,994,352,717,613,108,804,837,451,046,130,
892,415,150,423,487,829,400,276,456,628,195,706,047,239,409,596,259,293,088,
210,099,849,365,715,164,687,562,766,800,205,358,273,880,349,521,127,565,535,
882,033,837,563,265,132,213,356,311,425,856,915,848,683,618,288,793,976,105,
778,223,889,519,124,482,179,565,531,320,818,377,936,147,223,101,642,650,212,
922,715,945,308,030,622,158,499,450,877,482,271,434,418,508,954,165,996,028,
812,027,241,078,870,821,720,028,273,195,479,461,423,749,805,451,866,376,469,
666,609,545,642,162,594,870,303,737,814,900,613,936,764,646,539,572,851,754,
074,880,287,186,945,422,972,534,238,399,180,214,636,823,710,349,579,551,854,
514,946,903,167,850,844,029,970,347,061,681,674,391,275,333,060,006,711,453,
169,881,559,898,494,703,104,313,743,109,359,439,456,914,907,525,039,880,503,
285,120,595,015,958,230,555,067,218,866,604,638,989,649,340,404,614,140,032,
946,766,884,158,778,080,489,759,831,335,642,936,539,342,562,614,749,098,596,
530,505,548,064,940,360,288,379,368,922,423,415,000,780,368,627,222,251,288,
682,747,943,433,795,755,065,871,768,235,427,908,096,335,110,235,606,020,451,
746,683,872,449,898,214,236,733,299,738,232,363,663,026,789,488,079,234,746,
109,358,820,455,455,234,963,671,953,155,985,584,979,710,594,372,160,624,672,
442,080,574,330,644,697,314,705,536,921,662,984,621,840,058,904,734,096,024,
301,869,435,827,478,924,090,734,962,271,331,554,348,275,740,401,362,848,664,
753,833,145,800,542,009,676,599,956,541,547,543,116,977,692,449,228,217,672,
410,335,313,828,585,764,649,086,761,444,577,306,666,155,305,460,328,791,074,
784,464,924,998,114,340,286,742,285,865,650,664,269,509,760,362,058,918,383,
033,481,981,069,021,697,337,635,222,818,969,399,151,411,484,254,410,987,553,
241,465,965,385,102,232,309,212,092,040,841,841,305,883,797,939,145,266,039,
758,302,767,324,367,337,196,584,046,905,997,004,239,714,569,826,971,970,800,
473,639,346,434,999,301,744,563,075,153,531,653,008,520,293,523,486,985,023,
316,815,966,912,836,412,354,479,914,932,938,269,666,677,732,031,176,875,655,
789,133,032,441,227,018,351,698,216,649,554,159,781,461,416,377,416,423,032,
028,929,160,829,081,068,510,635,427,686,231,203,149,083,471,652,114,571,179,
317,039,937,840,032,863,815,116,921,321,537,548,940,636,136,215,367,488,590,
384,659,657,247,289,997,014,300,151,772,245,493,083,886,964,251,138,483,851,
661,519,046,345,410,103,553,854,501,357,655,537,006,360,115,651,829,307,720,
815,875,262,314,476,972,855,491,026,010,097,143,074,267,619,982,867,479,671,
777,772,164,735,562,670,236,161,016,591,311,089,071,804,182,677,180,626,267,
548,361,747,562,985,462,454,058,244,041,780,856,386,985,949,258,551,808,492,
545,000,378,229,325,571,715,372,159,960,342,215,929,054,660,226,781,766,571,
818,156,152,746,061,524,256,399,699,649,851,359,705,659,887,679,367,048,680,
013,927,167,834,401,852,089,936,150,932,209,148,826,348,207,628,691,069,180,
392,708,637,600,328,716,818,104,266,265,976,961,403,448,408,207,771,486,672,
322,709,598,267,487,733,068,734,623,693,463,077,594,419,603,425,251,666,933,
137,261,635,135,397,159,728,646,651,685,676,688,350,132,846,350,135,047,050,
679,897,244,687,900,157,534,919,200,242,133,721,972,846,879,029,114,325,429,
668,312,014,196,931,794,390,192,396,556,992,013,286,300,647,394,413,377,055,
109,437,036,099,161,830,000,663,944,462,022,980,720,020,186,584,046,313,903,
112,653,542,713,115,720,828,537,269,613,338,776,665,424,608,828,335,196,154,
021,080,653,981,492,717,141,874,522,320,184,625,188,140,736,708,829,510,690,
353,064,713,578,037,158,016,701,565,270,347,700,533,351,141,554,300,676,240,
227,304,142,819,375,316,507,148,148,433,357,157,709,477,526,224,535,697,767,
652,090,690,389,527,212,787,901,022,224,351,850,341,303,724,296,524,107,535,
355,082,367,228,738,455,558,926,491,460,731,817,692,758,785,174,533,767,742,
407,541,521,652,571,676,155,625,480,014,716,339,919,496,519,516,969,129,151,
492,116,286,847,623,731,208,005,232,961,471,572,734,185,811,683,722,192,181,
468,278,663,786,367,847,701,193,477,026,109,157,259,423,024,828,398,236,324,
716,594,753,194,209,704,883,502,270,478,047,886,471,128,836,732,681,654,510,
951,828,586,611,917,345,107,049,305,530,990,226,266,992,947,102,649,342,442,
577,704,095,772,484,697,441,473,027,167,130,628,619,006,826,240,251,458,543,
877,542,035,902,756,979,938,908,654,647,050,099,296,841,590,771,708,477,304,
800,615,915,010,486,207,946,041,839,132,183,969,106,674,319,089,955,483,561,
168,364,171,088,502,010,778,088,059,136,332,676,951,266,480,750,463,392,899,
458,211,043,195,893,850,503,642,701,327,963,942,102,918,878,705,402,012,030,
045,968,853,621,600,667,157,324,790,442,524,410,215,238,225,733,483,381,119,
240,001,821,591,111,689,807,480,441,263,592,440,281,627,672,289,757,682,667,
810,133,386,323,364,235,156,663,309,987,501,621,856,553,990,860,197,624,306,
038,671,448,315,625,041,249,595,397,153,909,833,253,970,899,558,069,371,329,
465,992,407,928,155,785,156,258,029,787,438,972,217,024,371,149,432,523,458,
404,591,846,296,025,956,107,237,765,182,261,656,381,762,310,168,806,174,675,
197,545,542,411,307,157,846,655,718,342,858,777,799,988,586,191,519,176,661,
146,058,792,686,902,347,977,136,134,912,808,952,773,814,105,609,744,934,487,
518,892,080,118,384,818,480,372,778,480,769,365,721,880,347,320,764,316,446,
485,590,897,243,866,411,651,664,092,206,321,652,955,767,576,297,431,493,514,
455,741,914,261,561,829,543,108,686,640,193,737,429,259,528,926,796,095,496,
132,340,608,763,751,657,455,550,466,684,285,382,205,331,558,174,032,788,413,
735,059,050,603,046,949,916,654,160,178,138,394,768,924,556,983,382,561,990,
904,096,848,248,466,738,573,049,697,605,394,641,380,890,411,603,589,642,432,
359,176,750,717,480,605,951,408,227,730,693,369,042,283,713,998,795,112,544,
641,824,716,602,628,196,622,179,068,229,081,971,862,114,401,583,860,074,037,
070,760,095,384,610,070,912,714,446,995,615,255,580,399,072,824,949,803,365,
377,211,132,208,235,281,478,394,712,772,119,066,796,792,403,996,864,581,191,
835,557,492,402,212,203,883,302,696,552,295,063,601,829,063,135,590,232,195,
803,347,812,253,917,609,382,773,698,689,924,429,623,861,924,374,297,359,167,
254,733,781,238,728,492,302,328,492,041,179,161,345,269,693,642,968,186,680,
205,497,993,312,188,718,861,060,756,842,919,743,787,927,366,443,806,914,654,
011,329,644,580,197,911,031,041,618,756,987,517,066,631,607,949,752,703,509,
157,296,920,677,703,400,847,384,831,968,017,175,089,219,497,699,927,385,401,
359,195,949,036,428,432,490,011,463,763,754,319,915,432,408,443,464,742,193,
101,542,185,804,432,798,662,343,910,897,960,256,788,199,589,546,671,160,873,
539,450,647,868,876,744,022,789,289,370,998,500,464,924,722,215,643,903,005,
131,723,293,002,413,307,426,989,145,653,850,472,011,147,857,137,210,683,798,
324,801,246,191,310,851,236,478,249,684,444,493,670,565,835,692,829,497,753,
346,412,664,273,277,418,411,676,245,439,278,500,639,386,992,994,799,549,561,
978,495,051,047,822,865,486,401,181,876,816,500,909,339,320,362,824,965,803,
586,285,353,841,382,149,380,328,157,079,648,684,111,851,462,383,833,840,484,
086,857,367,328,593,100,024,653,275,937,461,363,690,495,370,662,878,409,638,
079,127,736,749,221,459,022,910,333,044,854,257,629,601,936,971,792,287,861,
519,957,472,087,858,625,775,520,832,083,953,672,484,700,729,308,134,842,969,
936,687,811,884,318,690,281,758,130,868,798,506,285,417,629,876,205,298,303,
992,139,360,264,892,078,765,654,898,482,187,286,019,223,884,842,657,001,824,
936,065,427,439,045,010,318,376,549,996,946,391,991,934,549,010,767,736,940,
606,397,313,528,664,539,788,564,138,234,460,761,218,566,648,329,933,957,884,
684,621,346,230,811,556,562,445,554,803,970,405,084,572,376,414,265,769,662,
539,503,171,892,426,201,492,426,654,647,477,087,031,952,723,711,916,908,535,
901,305,430,808,256,444,415,111,603,231,039,768,803,748,480,102,064,612,468,
175,056,508,993,168,457,694,253,816,779,388,930,725,495,732,947,088,106,282,
772,161,608,547,997,667,101,114,246,681,528,866,829,958,886,810,309,600,220,
874,654,353,548,449,618,880,783,574,294,333,828,967,563,176,098,516,453,699,
383,944,968,971,819,708,362,649,661,199,875,643,880,125,203,992,692,954,596,
901,360,317,472,596,528,969,551,235,806,102,721,148,019,365,215,466,606,030,
598,095,004,735,541,872,150,624,037,588,423,502,118,561,126,032,720,509,601,
119,876,905,030,377,936,890,840,536,466,044,973,346,731,282,321,921,602,427,
372,364,542,736,954,239,110,344,115,402,129,033,479,983,635,251,186,404,318,
077,467,422,280,387,904,989,976,701,785,587,515,092,368,266,632,215,661,371,
813,975,303,109,396,529,542,617,018,928,344,305,096,228,015,825,566,711,578,
200,379,669,646,759,754,182,768,340,971,220,006,655,576,508,461,447,028,712,
356,162,851,556,347,121,458,142,819,297,639,330,542,504,868,004,535,810,535,
436,539,500,135,074,535,324,610,032,698,084,131,822,757,995,860,064,621,690,
910,147,094,507,286,715,518,043,607,916,336,668,832,089,228,563,543,170,092,
959,755,172,665,584,151,740,611,206,093,279,694,192,418,521,558,803,689,963,
314,842,437,593,213,796,312,084,186,262,569,010,479,052,952,347,815,856,924,
843,088,206,086,036,549,816,561,193,744,776,808,320,450,024,465,312,151,611,
654,528,197,413,401,529,350,077,014,816,004,761,111,567,686,512,319,126,372,
202,347,608,190,287,115,881,102,565,952,485,977,883,132,985,365,200,157,253,
138,610,076,564,391,220,560,361,209,172,861,347,926,234,249,145,925,692,775,
965,836,252,925,918,496,014,479,036,457,519,820,619,386,423,654,687,590,779,
767,298,286,150,874,596,972,268,220,638,052,177,686,167,777,341,662,990,083,
318,211,252,357,766,584,078,748,375,993,437,671,910,924,833,941,329,101,797,
793,997,751,382,179,126,179,249,583,245,240,111,740,423,614,482,409,500,680,
267,960,680,057,679,039,805,208,766,157,626,262,271,913,535,269,199,444,654,
255,205,515,789,408,029,204,197,841,294,267,772,297,420,348,567,663,020,140,
228,838,967,686,565,187,569,577,907,598,025,652,088,652,899,768,951,353,231,
730,902,079,952,447,465,682,294,120,656,490,177,311,057,820,223,530,694,484,
615,206,385,401,875,533,443,277,779,594,764,057,496,333,984,161,393,639,365,
876,689,114,497,173,152,933,368,983,376,665,040,953,133,205,659,940,152,417,
531,153,499,943,937,764,865,218,703,630,337,766,714,206,640,888,630,915,869,
874,726,782,312,819,719,742,910,352,218,864,425,970,588,758,377,519,161,492,
711,266,467,420,403,424,282,157,959,867,844,255,112,391,817,895,813,381,575,
763,052,025,853,600,696,704,182,240,364,327,330,272,052,318,947,921,822,516,
442,255,843,984,177,528,726,609,537,697,407,195,944,966,975,424,563,079,746,
253,981,764,634,378,043,974,331,474,343,273,472,333,311,177,578,537,590,228,
672,681,949,206,806,373,749,311,133,076,985,251,117,960,492,326,113,462,460,
963,642,956,723,800,405,484,108,203,205,158,001,809,096,192,736,918,554,398,
707,294,705,583,336,062,929,783,951,625,872,662,959,606,039,326,562,947,945,
913,414,593,209,442,077,505,505,244,356,808,023,626,276,995,197,828,382,914,
618,302,103,233,548,512,099,445,050,776,957,838,951,258,636,215,698,948,588,
499,972,361,995,028,450,470,640,924,449,864,695,243,534,676,879,700,226,647,
669,104,195,617,221,755,574,634,453,936,073,961,168,024,279,485,372,682,160,
044,581,571,197,066,079,479,224,073,118,946,809,694,134,547,095,316,543,681,
686,231,166,818,907,910,517,375,571,989,568,703,691,056,356,048,084,238,988,
142,347,790,432,019,845,810,659,231,915,254,271,870,156,807,066,230,250,970,
897,449,801,081,593,040,434,266,363,178,166,137,302,791,170,208,386,059,546,
842,117,520,723,009,439,066,089,204,017,499,302,980,645,742,961,653,083,846,
622,206,838,865,077,086,415,308,108,315,997,994,230,419,795,226,341,952,735,
969,171,054,392,596,411,817,546,009,957,663,767,566,488,942,517,307,733,140,
778,860,878,117,870,952,559,396,555,798,159,961,903,514,596,452,144,587,990,
140,698,833,546,947,569,218,122,961,911,607,619,829,717,994,262,315,690,982,
168,585,762,247,712,034,095,870,379,948,249,184,631,737,075,489,432,166,615,
050,469,173,007,380,170,342,846,572,507,723,432,263,232,718,754,633,597,497,
002,341,548,338,755,355,261,847,671,965,025,021,374,810,077,669,836,327,786,
431,331,906,252,899,415,919,817,330,063,708,774,020,988,324,000,291,818,883,
051,177,750,291,438,987,937,730,791,873,913,690,262,737,711,558,891,438,980,
886,554,988,866,916,195,087,252,610,361,489,767,338,008,403,627,470,306,697,
780,096,005,950,817,470,578,269,865,225,318,185,334,151,190,440,878,580,862,
071,639,257,448,096,324,459,920,039,258,131,581,244,758,718,927,385,587,192,
142,271,982,136,622,984,318,493,293,980,724,947,362,993,481,730,131,870,015,
677,236,145,261,145,572,585,100,517,462,493,472,636,521,469,608,549,544,359,
478,141,775,244,369,788,881,778,737,883,086,425,524,247,018,830,694,152,554,
593,960,295,038,648,223,627,713,534,178,750,521,063,095,749,258,133,272,662,
485,529,623,702,361,979,661,722,379,284,394,554,222,109,093,663,119,527,457,
957,456,536,913,412,975,458,782,204,978,953,674,866,619,836,163,764,922,582,
525,763,371,722,813,539,527,116,376,232,603,817,103,149,761,908,996,029,518,
439,180,903,488,803,339,410,141,341,216,301,488,692,308,752,851,179,891,583,
392,998,341,871,865,327,719,957,552,467,405,809,096,651,849,547,170,332,213,
718,725,996,026,520,445,679,866,452,770,178,836,203,564,077,046,629,619,807,
949,299,275,000,054,511,364,604,436,590,350,518,027,351,275,095,061,826,072,
257,911,364,349,336,015,314,427,878,276,553,081,890,371,938,055,606,331,795,
870,736,588,693,729,864,015,231,307,232,655,842,374,297,930,085,372,390,105,
299,367,821,154,249,860,492,767,043,745,082,208,835,423,074,978,817,539,025,
472,868,635,308,434,062,543,143,331,268,947,759,535,183,467,653,995,284,427,
756,257,165,677,095,937,412,510,666,537,410,235,579,556,282,592,209,200,940,
026,905,162,761,927,091,921,116,116,195,005,880,311,941,462,833,178,335,069,
015,401,418,717,452,664,192,934,453,393,763,068,695,164,066,987,075,022,501,
758,734,404,977,276,087,269,244,045,603,846,914,533,431,962,451,000,928,532,
125,100,600,928,835,229,904,765,165,728,293,108,116,453,852,570,472,677,643,
418,480,915,622,826,476,879,417,643,150,776,646,907,263,694,764,090,229,360,
948,196,324,124,508,231,375,799,173,157,855,746,889,095,307,681,941,433,073,
494,082,390,542,891,842,111,384,181,632,749,122,835,761,777,585,711,789,895,
069,351,803,321,191,336,108,801,984,851,327,679,480,795,774,338,950,193,695,
363,653,076,305,773,389,424,326,183,885,933,406,364,516,522,650,474,458,930,
144,849,571,992,426,508,782,870,511,660,392,716,165,076,852,057,076,403,773,
147,464,322,901,817,056,240,978,997,811,003,963,828,566,290,563,916,638,771,
334,772,273,278,454,478,295,490,947,082,325,886,439,540,854,930,875,201,944,
642,157,374,183,112,041,716,700,342,977,731,187,179,412,383,644,503,406,865,
056,365,121,519,294,899,101,277,001,894,331,349,082,504,839,588,707,515,253,
459,347,651,639,804,663,111,913,418,765,416,899,150,141,388,163,875,796,349,
267,122,078,396,580,183,325,478,384,571,701,591,733,470,927,937,716,436,158,
930,581,773,476,800,980,242,404,900,975,595,519,679,451,309,462,693,199,876,
195,495,533,147,217,205,747,020,980,252,208,866,465,623,114,959,071,872,577,
637,577,517,596,309,777,461,476,005,237,282,361,598,131,144,304,577,453,657,
694,632,346,897,316,360,132,029,498,231,653,893,187,310,120,853,520,736,793,
364,860,140,266,978,255,306,544,157,145,200,581,214,085,760,728,526,045,674,
298,536,050,652,689,018,399,454,309,285,224,189,816,987,977,317,633,014,766,
157,384,465,827,382,936,075,752,453,177,984,958,753,289,438,071,035,242,104,
600,845,801,210,392,647,330,360,369,347,926,331,618,178,866,063,638,639,836,
965,858,782,352,411,108,007,952,533,135,931,875,001,388,202,266,076,903,836,
010,117,819,919,896,875,705,364,885,137,109,359,397,777,316,859,793,627,574,
469,542,874,572,759,682,097,785,491,120,509,294,394,911,384,516,018,732,737,
611,710,697,260,162,419,943,184,980,571,070,125,663,526,946,192,889,047,157,
751,238,027,775,726,348,022,371,952,676,453,523,268,094,046,957,008,113,640,
670,215,940,733,440,863,616,607,748,899,652,582,355,163,371,391,128,327,968,
239,366,737,989,143,830,343,301,672,695,577,838,116,460,331,853,679,781,787,
684,880,240,934,385,969,407,360,231,450,742,189,434,326,723,915,268,631,996,
386,175,664,912,609,607,904,583,861,654,134,549,158,668,676,421,698,565,282,
729,068,133,583,164,181,749,830,313,317,242,363,949,712,683,429,586,532,683,
692,758,630,845,800,176,703,808,549,132,598,288,536,569,599,526,692,238,229,
138,199,203,259,227,258,357,010,584,601,796,430,225,019,578,284,912,388,761,
706,143,511,362,534,280,457,252,974,874,322,774,060,809,611,714,431,272,287,
570,039,331,991,153,494,305,029,899,573,542,590,993,340,234,566,736,793,305,
696,293,967,701,310,962,323,336,797,246,138,264,689,079,396,553,465,391,990,
829,296,855,720,235,894,519,449,998,839,893,589,613,078,694,719,566,819,944,
867,153,917,640,946,738,053,961,776,657,609,668,050,352,581,400,135,532,498,
136,880,784,571,042,700,000,412,900,017,406,845,585,894,691,537,998,220,000,
412,151,048,510,963,931,712,642,459,123,020,279,346,250,628,348,713,394,038,
655,393,598,360,239,949,484,657,559,599,233,830,895,713,364,473,794,876,544,
995,282,279,351,889,089,494,216,074,646,649,586,440,427,723,686,603,869,496,
129,897,822,199,904,494,142,966,393,731,233,398,460,633,326,431,307,566,326,
779,094,081,422,666,764,373,646,804,339,181,890,377,818,273,157,238,406,694,
153,016,778,702,997,382,672,441,839,025,294,779,686,674,389,748,560,752,644,
199,682,059,670,295,651,956,469,709,220,522,551,824,131,015,044,250,415,970,
103,100,988,648,268,759,259,156,644,834,305,629,994,779,222,079,390,222,460,
470,305,256,134,034,933,904,827,481,600,015,341,105,886,299,758,175,384,501,
089,783,813,509,352,027,621,174,693,730,074,848,609,761,040,218,492,836,286,
220,121,279,487,747,046,001,164,769,857,582,796,493,822,426,891,210,137,465,
715,683,131,514,525,941,231,661,553,963,578,264,295,844,425,778,353,078,018,
589,920,222,452,285,569,424,054,580,051,333,784,714,003,535,429,315,540,587,
494,048,731,131,282,874,651,276,206,979,593,070,147,089,349,650,566,131,747,
319,092,553,605,851,212,852,882,774,508,947,297,756,890,221,353,107,955,440,
402,676,333,711,249,280,907,680,149,831,878,524,387,089,737,693,768,434,954,
220,009,665,269,477,956,782,286,569,330,733,613,355,890,519,752,580,530,283,
088,132,446,996,339,669,256,727,362,726,667,720,315,011,104,793,847,906,497,
104,494,799,623,813,031,875,006,909,406,210,460,683,342,894,596,839,440,119,
404,062,552,810,053,846,487,186,630,336,320,350,985,360,340,294,882,221,964,
129,702,358,653,515,191,280,911,137,556,372,738,846,889,561,347,425,423,422,
764,624,393,702,973,031,806,869,285,546,901,483,032,693,065,074,245,353,201,
420,281,630,452,570,511,765,342,256,038,761,801,971,505,749,121,966,266,645,
042,736,090,981,797,138,922,423,309,671,729,994,809,044,052,881,474,686,418,
718,162,853,928,676,954,215,231,067,853,067,228,787,419,875,287,572,612,016,
002,498,883,168,802,235,335,750,124,053,862,902,855,463,961,251,079,236,081,
208,931,326,418,559,208,092,216,117,196,553,949,886,549,037,084,383,729,383,
241,037,147,767,555,707,394,885,944,561,606,083,445,614,241,524,927,471,552,
502,821,173,714,476,114,490,363,279,143,208,225,866,218,293,226,941,911,697,
115,818,198,174,542,152,094,918,792,436,814,147,612,452,193,308,382,089,827,
856,045,871,663,227,025,363,506,423,592,126,239,053,022,767,941,599,943,649,
805,987,588,948,826,706,569,841,562,392,946,265,271,067,754,507,509,552,888,
914,248,582,301,288,812,702,630,044,727,174,551,634,775,712,859,952,381,199,
910,706,949,133,767,050,806,343,942,244,457,193,903,689,355,109,494,749,811,
576,226,934,823,556,326,027,601,914,982,182,401,309,567,370,102,145,310,764,
334,929,457,509,406,572,397,496,770,274,365,782,205,532,707,428,011,982,410,
974,951,487,175,009,499,287,465,127,710,275,232,565,276,024,819,779,253,866,
223,590,225,372,003,543,625,163,409,439,984,302,641,126,848,123,400,395,719,
492,109,227,110,085,074,154,746,717,140,273,653,100,493,862,285,063,720,597,
377,494,846,842,329,744,091,024,364,808,556,963,579,328,967,114,267,915,050,
818,255,217,311,095,819,535,534,101,507,852,866,068,180,504,236,935,812,017,
322,409,730,315,166,140,333,642,926,573,149,624,508,403,475,796,396,428,535,
342,471,206,669,532,478,651,006,237,673,222,745,888,149,006,620,124,510,308,
369,024,820,004,532,464,368,648,707,241,084,459,810,610,336,751,497,867,162,
269,600,445,863,207,415,790,971,829,637,287,375,863,519,913,429,297,119,254,
144,260,552,249,793,598,436,066,729,568,162,824,035,705,590,332,412,710,347,
453,436,620,823,267,264,273,932,108,099,248,466,551,099,640,538,248,690,980,
253,274,840,425,499,001,773,414,677,692,580,896,236,184,857,053,054,755,221,
963,921,776,106,624,875,385,866,963,821,087,481,389,996,273,279,674,661,884,
228,453,302,491,128,476,430,960,003,473,319,181,182,809,650,663,385,796,967,
609,017,621,362,993,573,215,706,437,180,423,881,456,847,278,276,286,018,929,
853,035,274,842,417,634,932,822,715,061,901,609,651,729,027,518,942,241,365,
741,424,140,800,439,406,910,167,549,408,463,189,524,623,457,004,679,364,850,
552,004,128,279,492,981,621,664,029,741,118,109,220,418,816,920,677,274,771,
465,973,937,494,110,890,963,664,986,638,039,060,331,334,467,222,344,772,261,
287,269,739,480,970,870,655,122,101,827,863,283,773,184,313,658,964,256,479,
566,091,582,326,315,581,846,338,172,756,846,749,240,265,702,076,155,324,334,
600,852,781,098,514,209,616,147,187,336,822,057,738,883,295,287,442,815,347,
091,896,138,762,785,835,113,252,202,550,085,310,200,116,881,503,961,363,345,
868,307,327,106,203,586,584,372,711,875,254,309,820,143,773,970,443,579,082,
135,408,191,533,167,476,312,478,525,478,250,245,656,854,828,905,569,213,101,
668,795,343,384,894,423,242,863,933,687,862,183,571,442,631,187,699,364,081,
010,009,601,476,218,767,810,646,266,600,105,017,217,736,584,073,062,858,707,
438,970,882,682,786,164,216,701,840,064,870,223,193,673,522,385,428,905,224,
745,010,475,215,228,289,838,543,988,473,827,111,490,173,561,264,206,151,809,
097,311,783,921,486,724,793,285,923,398,727,012,632,319,329,446,517,868,210,
233,865,378,829,673,550,943,283,582,298,134,047,279,883,566,981,195,092,874,
719,329,250,004,455,370,089,819,245,874,634,818,352,324,493,318,237,441,641,
804,670,357,647,015,993,743,812,511,136,066,837,282,888,114,961,298,676,251,
484,103,895,976,449,475,059,025,733,405,759,868,640,606,763,773,465,190,474,
254,201,862,353,941,083,952,872,341,651,079,636,037,906,982,319,237,448,183,
972,645,449,383,035,412,932,350,782,447,445,414,813,349,460,319,126,435,673,
734,411,025,095,950,584,735,216,282,554,416,108,471,781,165,447,209,128,221,
648,552,227,576,846,443,471,673,706,469,819,845,813,742,686,209,587,399,516,
293,103,615,723,290,874,872,109,172,774,533,806,384,364,763,643,323,358,699,
076,975,256,604,181,474,695,772,736,529,370,293,526,073,601,363,685,330,817,
695,219,010,097,415,807,678,435,167,573,609,148,085,532,502,293,412,806,127,
447,943,638,940,586,289,533,895,304,942,656,690,163,474,272,515,350,604,411,
055,079,468,897,591,341,937,801,363,954,583,169,833,325,187,172,824,638,895,
419,680,260,258,875,735,984,762,186,868,756,235,957,037,915,111,161,751,489,
542,587,020,522,627,486,668,114,780,547,494,068,897,325,723,463,307,229,019,
163,956,208,446,717,753,205,401,118,208,149,789,163,026,611,333,824,882,018,
427,400,127,160,192,564,718,459,564,315,735,987,739,242,314,637,704,095,323,
053,314,556,815,584,130,018,057,777,418,259,429,937,239,515,038,720,385,574,
712,552,291,390,659,666,937,085,281,632,169,799,162,061,935,422,350,453,501,
023,259,060,114,470,298,851,854,538,997,865,769,196,280,879,951,265,252,663,
287,199,877,994,395,396,517,016,695,650,782,510,104,694,810,233,720,285,369,
353,349,316,602,113,056,740,937,509,858,263,437,403,176,060,948,153,133,077,
977,742,095,237,224,719,373,454,065,464,516,741,437,717,521,949,803,605,206,
022,236,244,685,842,697,180,999,653,675,605,760,931,050,400,917,279,504,691,
149,464,014,225,657,470,809,389,569,544,789,424,543,855,986,974,414,522,367,
872,903,657,616,754,811,183,426,597,719,728,450,823,954,351,619,728,640,091,
085,763,471,386,783,633,044,838,598,748,369,400,577,088,753,659,119,984,649,
835,145,194,538,833,593,825,191,565,061,963,388,482,101,618,712,485,356,298,
137,695,243,302,126,460,690,581,640,325,204,736,686,115,205,765,187,483,974,
099,660,766,313,747,671,221,907,126,378,722,872,719,653,465,119,790,077,007,
570,262,397,868,475,712,939,930,797,572,519,405,837,194,351,878,358,742,465,
734,716,022,519,421,363,060,175,007,234,948,789,606,358,407,043,638,660,014,
514,090,169,389,670,870,143,874,857,813,062,276,007,109,512,138,444,407,351,
710,805,348,643,975,247,839,124,885,540,409,466,108,417,281,003,358,600,702,
285,059,721,590,742,550,449,646,851,529,176,613,606,401,378,185,202,445,884,
690,044,172,081,539,340,735,153,463,324,566,057,351,829,499,720,432,399,707,
423,477,753,011,835,525,881,629,040,961,030,797,923,929,539,032,445,999,883,
550,625,164,445,963,106,348,926,937,720,521,688,358,339,472,402,822,043,940,
433,135,684,550,561,232,501,607,125,155,110,827,956,639,034,651,330,612,895,
127,381,010,559,586,163,839,728,244,711,636,764,596,856,297,987,344,910,466,
275,571,664,115,423,839,399,604,646,605,821,735,744,353,881,127,217,566,541,
818,972,135,866,381,287,686,728,518,046,201,895,527,528,262,226,872,157,468,
643,341,884,204,415,175,081,411,957,469,527,017,393,876,160,071,423,662,572,
799,812,912,713,420,043,778,892,218,402,057,713,158,852,027,785,406,555,334,
001,100,507,185,408,858,914,885,451,764,914,433,280,157,208,442,936,129,583,
824,855,207,398,839,554,691,016,120,257,570,806,574,941,068,542,301,803,882,
930,518,784,082,419,740,639,561,400,032,390,328,829,590,357,093,175,163,011,
213,404,614,790,307,572,908,401,538,024,731,853,241,993,944,833,082,818,542,
037,555,658,857,484,609,992,822,221,328,863,009,338,056,713,003,583,786,508,
305,034,238,060,054,043,452,729,076,201,839,668,754,424,489,477,972,608,222,
365,037,791,019,398,751,825,222,911,572,116,924,971,188,656,496,506,101,377,
523,826,032,394,976,810,527,125,993,102,579,646,065,117,418,828,452,131,124,
886,418,452,106,030,078,703,200,388,981,698,225,731,729,274,626,477,924,225,
614,327,222,170,823,065,022,049,294,340,075,197,700,019,234,432,949,995,842,
599,183,664,345,245,426,182,170,799,444,079,532,577,927,231,466,287,981,897,
267,905,150,188,668,920,231,298,423,970,890,250,266,300,207,211,168,087,438,
386,224,340,067,614,036,743,424,073,402,995,334,371,422,393,543,872,552,739,
096,559,612,444,408,384,299,278,475,232,179,157,574,057,322,532,877,766,876,
437,265,782,006,346,986,842,150,448,876,835,695,988,133,276,308,128,377,609,
655,411,066,621,415,114,032,705,194,608,586,488,426,043,296,678,768,626,911,
269,575,370,427,450,580,102,199,921,331,272,283,357,616,057,943,366,443,596,
852,535,717,096,595,292,155,271,204,311,434,339,002,951,611,302,589,028,456,
211,472,676,652,936,200,128,891,008,700,036,673,144,648,634,995,390,634,561,
809,321,196,540,222,949,009,380,549,427,532,310,090,425,302,005,789,805,458,
617,358,250,855,451,368,511,888,512,173,397,678,419,888,586,227,035,505,981,
038,426,484,887,839,638,606,152,472,438,150,531,057,148,866,482,754,740,356,
813,387,499,376,326,777,615,295,464,417,587,064,100,400,261,968,553,522,798,
197,738,706,463,312,453,823,649,340,496,463,015,973,650,488,892,598,416,819,
823,057,098,975,804,018,335,014,841,911,757,851,141,767,887,602,842,443,083,
346,576,657,930,188,519,685,700,880,726,744,404,771,948,774,503,108,079,078,
158,896,444,719,575,867,286,806,399,049,586,459,889,062,210,577,107,462,932,
206,602,049,097,414,868,627,741,268,921,101,262,409,544,210,530,856,797,222,
708,631,645,902,354,673,418,068,247,905,440,391,314,189,574,248,873,379,135,
262,497,237,735,845,107,337,888,576,480,197,979,207,647,034,162,008,190,611,
761,963,749,644,593,872,875,349,563,922,914,986,013,318,921,165,918,029,429,
514,076,609,387,761,869,858,281,375,309,549,385,132,538,818,020,131,097,495,
375,504,043,454,720,386,690,239,997,305,681,123,185,817,569,671,121,064,591,
921,445,773,979,810,118,663,386,891,785,626,366,895,984,021,009,755,897,553,
981,125,482,584,314,886,259,902,409,153,916,467,072,874,922,727,185,692,068,
141,477,887,574,701,188,867,470,799,966,921,505,451,427,387,053,240,443,020,
666,411,040,518,908,799,308,633,752,394,845,434,839,192,734,238,776,994,157,
498,503,202,356,944,641,427,919,753,144,894,612,803,002,560,040,539,597,327,
888,100,708,719,345,247,150,682,515,191,917,277,498,378,497,069,303,593,700,
906,176,343,224,741,909,133,940,219,290,259,461,868,508,204,203,556,130,287,
714,522,542,263,499,432,684,912,836,342,098,079,642,329,766,758,407,630,908,
731,786,173,888,683,912,962,641,836,648,196,809,182,598,838,426,467,313,327,
928,727,645,289,202,072,741,788,666,035,058,268,737,604,943,764,208,799,921,
316,602,177,029,775,933,214,801,450,913,856,478,232,579,848,209,653,357,431,
824,096,017,073,277,573,604,898,407,018,373,750,922,315,004,992,775,430,524,
215,838,596,005,289,644,878,559,881,028,691,789,371,958,111,223,563,048,140,
753,091,272,122,322,129,872,119,475,656,973,398,863,329,669,906,104,983,502,
411,101,523,004,127,908,785,684,664,064,927,320,927,496,303,188,134,112,328,
596,884,022,508,492,064,392,453,704,759,778,811,733,928,281,483,101,976,923,
618,047,963,413,506,817,669,487,647,955,592,859,804,865,955,131,369,504,243,
631,625,676,673,415,163,752,032,621,562,984,728,523,401,984,091,072,803,969,
743,513,363,272,788,532,402,672,851,500,140,964,277,756,132,543,078,571,923,
142,444,246,981,033,314,947,513,340,068,242,886,457,329,099,056,364,655,179,
787,241,873,608,366,150,251,045,889,476,927,677,453,124,289,111,781,111,708,
248,701,384,603,132,258,041,408,878,145,220,894,537,064,257,519,115,502,235,
620,598,022,021,522,104,647,356,674,264,340,406,573,795,798,138,659,932,491,
687,923,052,306,626,242,529,055,717,474,025,313,256,581,995,110,152,041,381,
776,968,573,358,148,150,052,694,264,762,318,869,440,880,754,434,672,070,814,
232,172,169,542,677,818,318,051,151,375,494,896,477,337,404,871,142,735,478,
323,508,190,983,994,138,569,179,914,932,922,150,044,850,180,882,701,913,938,
933,232,934,505,005,994,825,279,770,750,679,626,837,393,123,374,686,555,185,
762,035,962,489,857,733,547,228,579,437,149,290,468,183,898,587,301,666,746,
688,092,468,666,135,546,377,564,670,157,894,517,464,681,604,684,260,043,239,
497,901,005,107,783,409,660,680,128,653,465,102,044,753,549,751,838,211,621,
317,672,514,652,225,040,436,821,382,208,130,720,405,761,332,123,269,754,282,
437,422,248,954,394,531,126,524,978,430,181,104,152,442,739,014,136,954,896,
916,694,766,707,685,820,256,995,008,954,518,504,368,961,391,292,428,440,872,
838,242,612,054,252,160,556,220,186,498,682,160,065,966,696,217,000,025,747,
040,186,855,922,318,592,886,578,607,167,124,303,788,408,336,785,934,943,929,
523,284,298,734,406,956,390,607,178,202,372,747,873,748,183,379,695,522,793,
888,095,324,878,137,477,864,123,077,262,608,684,128,691,389,462,391,929,516,
755,585,800,281,758,835,888,440,818,237,630,552,361,029,524,265,431,769,736,
511,950,876,145,107,908,324,112,734,788,284,701,823,975,328,639,282,937,367,
165,619,300,775,585,015,832,162,843,943,522,958,184,347,901,574,445,719,514,
856,078,207,565,774,602,983,555,842,602,482,308,597,440,561,686,190,570,500,
757,345,410,553,578,904,761,691,115,667,635,433,530,716,523,421,387,634,121,
929,741,146,484,141,193,656,230,639,223,095,333,762,015,581,141,162,218,281,
273,196,150,397,880,549,050,943,634,198,016,175,735,435,292,080,509,996,396,
647,477,806,673,621,931,170,570,174,238,316,247,622,900,221,740,274,862,789,
462,035,271,286,069,378,482,908,339,727,680,803,400,867,848,172,979,924,552,
698,617,577,913,228,554,509,682,697,316,098,979,339,394,144,572,962,506,836,
180,534,832,416,877,737,283,659,082,318,844,547,660,753,013,761,929,472,706,
084,061,683,350,482,794,805,880,100,169,996,628,528,515,665,194,712,543,353,
510,228,572,992,600,051,745,316,900,090,491,833,550,931,774,190,112,954,225,
710,800,521,197,574,888,652,480,730,581,906,060,528,536,361,224,054,580,989,
278,341,151,748,454,462,219,920,878,760,487,133,295,460,144,636,740,688,436,
566,577,107,464,408,427,799,042,747,839,157,142,478,383,264,318,416,525,787,
364,693,849,567,697,233,698,394,671,416,468,030,012,266,652,451,176,886,417,
048,498,615,717,385,280,477,127,665,702,361,110,466,280,682,804,509,629,279,
968,776,349,717,373,012,475,199,145,492,173,844,983,560,206,957,914,490,097,
039,890,395,606,708,886,932,556,553,022,202,624,581,165,864,437,401,053,949,
560,234,986,537,514,783,182,939,058,434,799,081,128,446,275,046,874,672,808,
932,058,102,679,281,119,516,265,273,704,680,697,428,518,344,779,431,121,912,
253,680,663,956,900,434,227,424,114,454,371,101,159,422,974,421,656,438,175,
969,043,529,101,258,462,833,371,803,501,413,328,754,525,034,685,643,371,207,
365,157,474,011,667,368,609,752,685,950,320,106,293,888,642,964,775,672,164,
661,701,143,303,543,584,748,290,369,374,931,855,519,094,486,663,664,969,388,
955,769,164,051,518,604,360,763,740,571,412,172,337,950,956,397,218,072,021,
444,592,563,640,752,710,093,022,348,488,160,747,713,952,730,011,822,324,783,
465,803,056,179,790,656,403,233,045,031,600,711,296,910,852,115,547,665,348,
551,181,809,439,393,309,264,371,783,024,865,766,722,935,030,726,394,913,596,
947,160,856,633,468,897,544,679,550,232,544,901,079,318,880,228,024,728,006,
384,941,820,206,890,286,925,711,040,524,757,401,973,473,762,725,539,324,606,
426,311,061,893,945,261,035,202,896,654,546,646,359,378,220,856,015,276,027,
994,929,667,384,365,765,258,163,915,332,184,637,037,506,447,567,464,206,270,
396,484,298,280,567,958,407,489,496,797,379,604,169,778,217,223,677,367,267,
670,476,462,380,180,786,639,150,445,463,358,693,156,396,073,446,191,876,340,
989,487,461,553,658,817,365,640,079,983,495,247,737,638,394,941,142,600,249,
030,605,826,044,587,841,179,645,604,708,118,104,925,487,680,385,653,212,830,
230,438,253,990,019,236,015,277,218,303,525,996,820,710,609,456,810,255,028,
893,625,644,766,118,653,423,325,947,534,947,680,186,739,148,842,873,901,003,
363,614,610,301,665,585,971,168,650,420,365,915,069,897,100,118,102,361,007,
036,238,963,919,801,408,206,590,241,894,303,452,768,406,086,348,022,703,511,
115,292,267,492,505,046,857,706,780,486,038,314,125,097,083,320,147,844,383,
119,297,741,601,787,202,927,534,760,399,487,504,682,070,156,996,208,961,915,
460,259,087,549,621,908,801,193,293,442,612,589,857,219,691,360,408,984,663,
292,560,686,772,451,631,352,182,820,289,915,364,449,871,142,492,098,730,699,
755,587,475,391,683,252,293,701,322,173,266,601,596,068,181,103,561,946,418,
954,341,555,679,370,668,117,319,020,881,962,636,706,537,307,642,883,745,041,
984,140,970,320,449,509,816,348,324,287,119,695,750,999,075,630,973,618,791,
207,339,760,055,184,852,953,661,265,077,978,881,968,352,338,468,122,694,438,
429,505,772,528,476,832,775,876,204,557,320,758,526,574,963,425,515,551,012,
204,413,791,587,617,078,849,399,156,254,946,057,542,625,503,110,826,665,207,
317,556,367,215,264,249,706,665,713,237,700,816,836,032,857,194,040,835,278,
497,462,849,709,336,314,901,484,816,550,515,798,560,084,173,094,355,466,759,
104,531,369,848,344,088,972,612,320,464,688,690,799,029,716,377,622,627,239,
039,236,380,972,018,149,269,918,394,623,643,738,594,506,164,994,788,459,912,
020,583,892,155,454,654,326,155,868,207,048,949,822,980,353,282,589,772,978,
977,498,059,090,822,741,323,046,418,550,739,075,602,726,689,937,496,314,020,
388,817,843,575,073,722,824,218,085,199,599,358,367,140,638,854,404,090,116,
308,896,432,210,261,321,486,406,181,901,888,109,247,832,484,641,104,015,582,
352,458,261,280,667,603,029,959,252,398,648,416,733,595,548,958,917,425,833,
556,911,263,166,047,898,352,060,967,783,500,575,138,954,631,867,825,045,218,
635,004,732,116,865,688,502,518,195,461,752,849,334,051,115,797,564,045,483,
198,254,832,062,473,579,826,250,893,631,774,748,440,694,729,894,577,566,473,
223,481,328,002,060,626,297,347,772,105,819,694,382,628,828,354,796,624,381,
671,036,727,313,897,332,337,245,328,523,642,675,571,082,347,411,151,786,999,
563,360,172,402,575,898,151,710,831,428,048,837,245,393,880,958,434,734,343,
305,744,473,297,321,771,381,166,123,669,133,037,352,203,344,954,978,847,317,
182,136,749,564,753,800,926,084,236,644,510,116,109,536,897,996,032,979,428,
716,753,420,309,482,762,991,274,738,206,377,517,860,131,179,256,021,732,637,
996,162,787,812,486,628,007,418,460,996,656,755,198,589,567,078,319,913,246,
551,827,330,521,211,054,484,422,129,297,534,024,845,492,552,995,350,472,859,
183,281,249,520,683,121,200,519,027,203,762,222,510,943,125,625,834,076,963,
438,889,204,327,953,090,716,395,540,558,978,450,803,536,450,093,967,989,339,
025,601,930,839,590,495,032,633,811,382,032,680,805,631,361,255,357,283,643,
340,687,755,326,680,545,607,524,743,947,178,574,582,199,993,169,925,891,111,
461,637,319,664,901,532,371,582,437,879,446,313,586,534,805,637,484,422,019,
742,634,381,905,449,684,671,640,667,983,011,628,524,663,339,134,278,181,540,
500,279,838,545,783,595,561,326,212,941,856,800,763,279,123,745,098,471,599,
218,602,394,731,382,164,608,459,734,694,970,826,177,597,936,932,894,379,499,
932,644,204,933,709,794,798,961,058,479,901,576,198,100,579,969,979,694,570,
543,133,806,840,493,689,381,039,388,570,954,647,912,571,989,884,742,845,422,
209,685,415,345,162,692,437,632,385,705,216,951,151,582,569,501,406,320,788,
163,646,201,205,910,288,411,309,933,564,542,255,897,452,887,822,290,062,101,
088,209,190,192,356,614,534,223,017,796,868,757,298,877,897,823,731,826,128,
575,374,368,515,148,753,894,405,814,513,715,013,042,312,997,272,400,181,048,
539,981,411,691,974,258,022,929,063,963,873,873,780,264,097,389,630,331,044,
151,293,768,567,627,508,834,035,519,794,263,291,339,087,711,474,204,215,144,
780,313,181,648,907,119,777,992,286,890,927,688,184,635,414,868,283,302,502,
727,392,925,311,436,640,795,358,699,811,630,509,093,013,904,234,986,079,593,
726,336,770,255,640,199,254,385,325,739,538,702,669,420,057,979,062,997,784,
403,146,496,023,210,987,543,647,586,729,545,359,909,087,548,829,193,174,788,
069,438,072,779,436,051,658,189,150,402,673,058,098,531,363,906,549,128,148,
897,603,023,695,525,379,085,961,703,428,461,405,806,994,204,412,871,097,332,
885,918,627,836,353,782,513,458,923,595,587,665,449,394,028,816,533,543,801,
579,644,220,579,855,334,111,534,793,720,533,845,085,067,737,871,702,413,168,
874,660,407,148,978,493,358,430,924,533,166,063,623,964,003,198,592,198,952,
683,767,485,184,865,248,196,251,664,197,272,572,454,516,494,270,907,522,854,
946,898,556,475,072,642,782,829,410,603,185,011,883,649,172,150,643,357,516,
053,524,326,306,388,652,306,264,689,553,652,203,077,771,823,959,397,259,328,
633,444,871,893,934,582,536,595,422,696,230,494,976,933,865,109,858,897,766,
089,176,908,983,764,568,242,305,012,472,459,422,641,439,050,318,743,499,506,
683,477,720,851,720,399,535,013,643,949,408,886,264,910,506,894,251,779,076,
509,407,094,315,364,423,897,825,510,740,689,946,195,546,413,183,972,414,869,
047,531,083,294,403,612,843,471,525,970,783,393,416,573,481,736,660,459,400,
242,048,372,544,897,635,477,879,694,676,648,557,098,208,429,550,847,937,889,
980,054,374,769,015,108,570,327,571,687,112,954,204,217,618,763,132,188,677,
227,638,897,471,884,129,566,177,147,472,926,449,146,258,248,684,067,089,440,
433,128,702,427,570,311,716,400,154,198,290,052,414,196,993,533,504,656,842,
824,149,772,055,826,196,925,169,738,173,100,065,190,631,428,476,803,553,145,
148,565,243,625,081,600,645,208,588,812,426,650,257,409,717,976,817,991,193,
141,047,129,459,146,347,798,766,841,452,610,823,344,056,302,251,031,615,770,
551,674,754,084,113,546,464,392,198,955,324,215,357,131,749,451,074,932,541,
097,228,625,268,807,594,226,827,981,304,723,369,398,823,213,754,904,833,177,
899,060,941,766,645,616,074,776,098,195,670,227,303,652,806,728,331,656,042,
496,751,899,129,057,793,884,071,400,378,808,496,448,762,766,723,384,240,244,
128,296,096,892,683,272,246,166,167,272,779,173,992,846,770,741,820,262,854,
502,326,582,844,226,430,296,393,693,456,572,916,242,736,638,349,855,814,040,
557,725,570,944,908,789,448,493,373,136,331,945,180,108,964,794,695,044,900,
027,162,945,421,899,976,047,177,910,413,849,050,405,578,880,237,082,888,723,
627,662,059,526,940,924,694,029,797,759,869,498,900,293,157,654,105,566,726,
001,391,341,512,435,061,430,436,094,836,951,573,352,676,226,612,056,337,775,
093,213,620,117,247,867,416,903,004,855,296,117,622,393,681,751,110,146,742,
708,673,677,722,114,577,389,946,306,782,193,807,945,851,296,377,025,378,169,
007,289,945,906,892,841,696,048,590,389,648,258,534,885,969,900,035,832,998,
264,972,658,734,717,788,711,578,499,741,989,539,828,963,124,203,425,353,503,
471,754,677,132,790,096,535,449,990,896,323,805,115,730,781,565,286,280,699,
765,837,774,450,295,112,346,817,915,856,360,832,081,999,454,685,678,737,678,
748,943,815,523,041,599,577,889,496,958,724,441,832,687,710,511,948,046,800,
899,225,087,196,632,361,554,584,939,078,132,283,112,566,026,408,854,388,916,
422,296,542,693,808,036,291,728,560,538,986,700,926,715,483,164,874,660,088,
633,675,137,102,311,812,551,402,585,874,952,406,356,198,050,450,635,001,820,
116,448,547,260,606,524,395,871,260,768,255,902,257,084,056,584,258,539,985,
665,569,623,422,354,559,724,527,113,002,726,797,262,889,256,917,245,946,834,
120,541,217,186,101,462,206,066,321,968,354,460,861,270,130,904,727,280,363,
671,542,803,341,700,247,863,055,584,212,993,440,152,218,369,972,866,344,454,
598,436,419,156,827,353,639,182,525,831,705,995,169,609,828,281,309,091,686,
442,876,661,482,341,966,505,671,266,132,458,829,744,330,043,336,906,789,406,
257,473,373,995,439,798,729,735,862,127,892,553,017,113,531,995,125,534,440,
944,361,002,680,223,510,316,012,442,540,003,355,789,585,209,276,365,571,151,
485,759,299,661,285,284,284,206,122,209,645,573,153,448,086,116,230,559,803,
261,799,581,641,060,666,560,586,417,304,176,371,593,130,541,534,079,757,021,
193,156,430,856,758,985,817,826,417,061,633,216,081,315,250,388,046,674,958,
624,055,860,883,159,674,506,445,030,890,271,208,738,814,898,452,659,093,221,
440,405,218,807,024,356,813,357,464,695,341,579,920,842,950,447,810,584,908,
746,120,565,460,835,151,610,904,549,282,883,227,617,614,230,468,439,668,221,
564,495,652,178,370,012,927,594,766,938,862,189,776,652,464,056,179,186,821,
524,404,558,322,119,392,040,207,412,246,990,240,643,448,885,593,442,516,004,
986,565,670,997,631,811,261,941,632,110,091,384,018,139,576,668,916,143,932,
611,115,348,340,424,750,660,783,972,329,226,809,621,293,757,379,420,429,909,
107,935,216,166,661,422,395,758,967,175,162,867,494,561,666,279,602,393,370,
105,594,682,577,195,227,342,607,900,542,435,129,799,877,388,922,954,884,757,
443,850,566,147,194,435,328,198,235,111,412,874,163,814,942,886,009,963,380,
972,940,548,448,576,098,279,236,618,895,883,750,046,185,963,531,215,518,921,
544,741,985,646,882,902,769,530,918,537,087,137,529,154,603,162,338,944,108,
461,895,471,057,094,618,587,272,163,688,719,252,197,992,248,025,241,497,899,
816,743,227,916,765,691,906,943,564,307,739,000,909,050,030,437,675,803,405,
727,017,218,929,727,140,952,970,388,211,575,803,802,483,426,594,328,366,358,
870,379,553,450,783,187,228,777,452,321,501,558,733,438,030,669,424,507,223,
476,935,474,658,005,805,645,134,697,601,638,558,167,767,829,244,587,174,110,
971,302,202,374,280,757,960,520,907,239,844,165,124,396,910,523,434,017,633,
411,189,610,851,497,464,087,638,881,307,994,147,743,673,366,855,627,988,897,
978,755,490,999,471,127,257,396,174,704,146,578,896,225,824,754,221,707,698,
541,504,733,063,469,263,557,745,397,106,381,472,519,235,562,260,606,506,004,
169,881,106,843,124,039,227,080,087,594,133,061,776,130,190,899,259,932,335,
936,468,227,091,218,054,087,463,126,492,889,397,557,187,835,744,022,980,631,
906,107,878,622,488,441,246,658,211,352,557,617,541,295,085,457,528,029,525,
164,363,831,805,959,001,323,623,005,427,248,925,734,096,517,521,701,865,392,
376,406,950,709,023,387,564,858,272,824,823,633,562,731,549,970,091,231,125,
714,540,301,404,284,475,091,938,698,079,853,449,503,028,649,412,517,965,856,
525,422,168,071,635,828,439,662,075,340,474,176,337,558,155,557,427,960,257,
858,449,955,332,687,514,922,684,116,689,485,503,444,458,504,849,203,491,176,
083,856,834,944,278,265,295,605,425,369,341,678,687,259,319,107,684,737,941,
096,514,993,728,055,576,411,453,504,194,898,142,784,200,044,892,588,658,955,
700,841,524,505,916,391,433,120,154,114,536,637,055,472,510,085,730,614,273,
225,216,740,965,455,490,028,396,996,204,932,946,188,077,320,369,835,957,055,
819,524,186,468,228,624,338,154,873,373,225,104,426,799,317,137,793,921,179,
698,091,783,893,961,353,985,410,635,558,861,001,861,156,570,048,839,122,285,
880,223,140,814,976,574,467,191,937,337,184,914,769,127,948,504,595,590,264,
356,848,244,968,275,694,743,926,555,900,556,059,725,648,746,027,157,203,954,
039,795,914,750,913,079,990,575,692,213,730,376,328,823,992,235,910,393,596,
014,852,218,303,408,313,530,448,206,795,356,054,285,219,657,954,426,742,176,
907,073,353,797,619,861,854,419,932,146,091,706,269,760,970,134,240,856,632,
546,589,746,263,343,626,411,425,187,831,189,630,480,672,858,920,368,718,511,
999,555,071,000,438,795,851,590,061,934,447,169,074,134,200,358,924,357,929,
394,104,707,386,862,586,499,527,403,407,361,327,146,786,656,941,159,360,324,
881,273,122,577,684,346,923,457,826,163,478,404,890,406,968,632,382,133,336,
426,675,598,238,897,170,740,521,129,114,798,212,983,428,195,261,062,846,359,
573,110,102,123,591,080,991,506,720,869,753,760,772,300,855,557,874,207,125,
013,538,283,514,073,658,606,188,928,193,830,599,173,364,960,896,204,062,373,
741,930,969,981,991,398,292,225,454,029,426,281,024,155,975,385,368,660,446,
824,274,445,545,591,697,525,037,092,243,428,380,794,382,101,134,813,844,106,
293,318,779,784,317,778,440,202,520,821,762,968,498,888,935,206,971,605,653,
315,859,997,059,960,552,238,577,834,709,802,426,349,800,055,491,554,260,316,
017,314,532,937,903,170,863,141,877,838,795,791,604,630,836,817,313,205,329,
701,708,931,084,950,823,885,499,577,341,282,570,701,673,666,803,580,028,405,
724,115,510,176,292,112,386,967,452,457,250,484,703,755,347,393,026,739,326,
053,861,436,085,175,491,029,736,372,062,351,464,013,287,798,797,004,987,402,
468,042,865,203,334,910,805,278,884,005,092,344,670,240,260,095,863,900,243,
718,517,432,457,551,399,977,829,788,470,698,340,138,663,560,785,922,141,500,
032,961,588,133,567,033,910,684,810,886,105,540,137,999,570,186,458,271,660,
706,109,451,841,423,535,783,070,070,882,000,990,109,689,098,199,137,068,369,
369,646,237,790,361,129,031,867,903,629,087,692,488,649,910,936,246,030,624,
903,173,209,630,282,553,364,787,500,926,059,051,623,255,280,351,000,374,856,
268,730,256,861,345,121,600,552,164,322,559,087,039,969,774,448,766,134,578,
496,440,792,331,523,825,735,054,395,504,405,807,984,627,446,859,138,846,243,
355,580,066,381,240,239,827,909,584,630,256,305,362,056,356,740,203,493,985,
749,534,099,707,780,563,782,515,584,884,466,957,498,189,406,220,363,811,986,
255,948,046,365,036,164,161,330,680,031,269,327,815,731,354,011,921,640,340,
239,986,702,258,594,917,526,334,544,824,822,333,019,939,451,942,097,549,730,
627,725,572,687,332,204,849,807,966,320,724,881,924,529,242,926,061,571,284,
103,539,318,733,142,342,396,435,185,258,911,582,273,711,065,768,159,417,058,
697,128,177,753,643,948,277,225,906,634,837,577,027,892,623,654,238,573,186,
257,266,709,093,222,551,316,116,057,516,528,346,414,078,991,503,799,376,459,
581,385,647,128,651,682,501,522,342,655,675,836,867,582,328,943,427,603,029,
218,572,913,311,867,539,861,136,092,311,434,233,299,978,024,275,107,881,327,
905,638,635,760,839,252,724,068,023,747,544,610,243,353,294,566,737,217,275,
540,182,261,332,135,320,057,642,163,525,381,068,465,920,653,024,269,718,442,
778,466,282,753,800,930,367,847,384,538,136,383,414,059,033,422,762,187,285,
041,329,887,768,135,243,180,673,400,855,395,402,878,545,099,807,698,319,799,
359,925,840,506,368,283,832,167,775,535,603,938,403,871,648,378,753,854,474,
035,212,176,908,191,665,498,888,670,327,581,733,951,261,612,564,918,614,931,
206,820,077,905,739,984,678,895,976,733,354,034,734,049,340,182,346,332,093,
623,112,640,637,138,635,708,725,940,247,730,808,743,251,950,408,230,028,623,
390,836,598,654,417,684,608,544,688,188,484,940,400,755,604,655,246,877,581,
398,527,234,353,697,780,024,956,390,534,687,696,396,045,661,745,182,802,980,
399,346,717,107,024,287,932,109,908,150,978,019,221,123,202,879,846,407,269,
938,965,030,228,298,232,786,686,954,025,899,522,960,274,332,466,107,591,402,
948,202,343,345,983,769,464,145,607,806,973,410,662,310,272,733,190,940,704,
221,173,028,215,823,061,244,264,368,388,153,590,173,104,021,628,927,759,026,
544,376,369,463,727,254,686,113,821,470,764,021,815,098,189,164,945,810,186,
836,577,298,325,793,602,871,215,307,091,887,432,306,927,400,409,989,998,441,
709,610,218,748,421,937,671,459,341,051,475,586,176,239,453,502,833,264,211,
016,989,871,606,931,283,672,068,093,590,609,301,274,783,725,029,816,589,848,
132,524,110,716,940,602,800,228,600,870,301,779,540,131,147,070,660,810,012,
096,865,155,958,800,966,230,842,740,392,821,500,766,763,559,976,657,409,824,
686,202,544,700,440,607,778,211,849,395,342,916,107,829,849,425,326,584,130,
274,958,594,847,755,942,948,703,454,804,577,608,987,215,878,194,858,230,682,
630,659,952,329,683,197,158,571,851,098,441,241,196,060,767,916,455,737,415,
222,278,267,594,254,635,288,657,357,889,116,882,328,995,025,061,456,096,969,
755,816,841,295,400,400,573,806,769,330,674,297,229,998,656,693,154,658,503,
738,521,651,971,321,796,692,584,762,145,900,125,940,269,439,330,711,362,422,
207,165,676,433,684,303,834,216,237,300,689,044,660,726,761,580,840,505,033,
571,339,767,739,930,347,070,115,953,449,135,094,103,393,402,459,023,469,655,
585,935,066,222,292,911,466,417,972,612,132,807,342,288,603,566,552,033,513,
252,637,469,137,970,564,911,159,988,179,512,289,546,537,144,369,577,773,320,
104,423,629,411,973,076,867,152,242,389,815,847,204,447,374,440,908,840,045,
446,330,672,944,785,358,174,058,123,338,531,577,685,914,376,136,657,566,184,
534,930,918,043,847,193,805,083,322,916,786,272,520,010,612,967,087,880,863,
474,581,387,165,617,664,572,442,786,735,784,714,751,534,155,285,104,968,568,
438,070,053,366,822,715,020,743,766,734,628,111,611,195,554,047,241,418,876,
854,924,578,597,540,759,505,713,924,256,272,941,957,410,033,422,957,546,330,
068,715,775,284,942,291,538,456,621,996,279,980,584,374,658,795,618,299,917,
578,175,674,784,963,058,649,827,732,891,511,089,864,433,492,014,164,457,160,
162,157,524,139,534,079,804,588,770,201,466,236,147,780,062,497,099,264,550,
833,350,559,231,465,193,398,896,840,934,309,680,216,392,046,483,655,903,674,
189,278,901,311,357,605,921,796,810,099,557,409,301,314,458,103,621,722,952,
158,724,936,321,587,232,022,055,890,580,161,095,064,889,698,094,313,563,710,
635,621,041,746,736,426,995,782,111,312,616,884,568,009,355,271,775,690,376,
090,087,104,515,605,155,516,031,552,826,695,118,298,062,557,542,280,044,335,
565,279,579,134,734,785,262,501,083,384,086,115,419,407,731,285,196,297,908,
056,169,931,855,816,474,376,626,744,637,236,463,082,226,457,841,460,098,065,
771,535,148,743,915,148,706,049,873,134,164,603,087,852,739,914,798,004,699,
215,846,881,074,592,317,363,163,513,587,115,194,207,257,654,116,617,964,791,
099,754,305,668,753,284,781,177,551,183,088,425,497,720,008,827,378,279,424,
220,328,109,695,013,935,904,851,507,774,155,370,826,334,814,235,215,606,530,
917,659,962,985,345,922,689,551,925,814,165,374,609,126,511,189,306,434,299,
934,704,648,148,184,776,610,204,798,584,651,930,705,187,178,900,886,082,991,
210,595,514,379,207,717,403,906,407,666,865,483,855,798,945,412,352,852,868,
672,220,602,780,630,993,312,587,459,583,592,436,999,712,045,636,832,974,767,
244,313,044,418,969,252,567,266,569,128,126,413,265,176,392,034,376,918,586,
738,131,004,774,154,980,188,189,585,786,337,020,264,380,694,705,436,253,180,
630,573,543,784,832,773,660,705,234,176,710,985,436,669,238,381,204,029,416,
001,984,820,140,994,896,251,917,910,453,274,738,818,827,809,611,090,241,946,
063,433,918,238,289,348,930,998,411,459,740,268,439,916,935,466,502,680,624,
049,665,112,185,233,687,124,150,656,336,575,700,006,133,892,727,123,750,980,
848,835,643,881,926,174,250,274,740,618,530,535,829,316,875,158,966,195,736,
720,455,304,779,202,085,067,654,202,106,731,088,404,454,754,541,596,757,466,
909,491,623,210,883,874,230,806,554,306,491,972,066,652,259,112,809,025,993,
580,382,527,116,052,883,559,340,004,222,601,756,143,324,116,672,987,129,664,
151,583,467,732,937,970,865,272,095,687,853,365,646,450,013,776,294,519,408,
697,815,289,189,872,206,702,266,528,569,722,149,455,186,514,314,945,503,706,
645,523,942,855,762,127,801,331,993,376,864,967,080,766,864,100,381,396,843,
995,653,318,389,268,414,240,201,113,678,293,689,441,922,275,087,903,912,778,
511,845,266,561,981,049,967,650,062,212,742,722,776,432,110,916,740,297,969,
818,575,803,460,144,032,717,036,222,784,243,087,735,915,106,924,769,177,246,
330,069,420,233,574,206,603,793,948,378,084,961,348,487,034,606,677,306,495,
111,119,277,358,344,054,034,784,274,175,047,060,937,747,867,649,979,560,557,
541,953,954,693,195,176,065,320,352,737,855,755,857,393,721,231,150,956,345,
224,493,533,087,624,054,419,892,536,697,764,971,833,230,780,449,397,230,459,
932,604,697,805,257,006,726,977,357,759,908,761,914,773,028,479,081,631,337,
917,932,021,966,003,625,373,815,501,436,071,276,268,808,381,302,216,183,130,
935,654,973,635,918,795,163,732,441,025,599,119,979,386,419,944,699,213,984,
112,204,641,832,962,632,522,625,654,305,919,892,516,978,445,483,079,692,241,
812,449,903,510,409,893,697,906,320,898,995,501,412,348,507,987,264,826,185,
336,652,349,693,458,782,512,345,782,315,717,714,732,051,752,423,414,646,747,
020,891,127,876,894,586,746,496,037,832,114,521,656,233,954,602,965,595,331,
487,711,597,785,170,599,449,702,657,012,664,950,868,572,674,088,352,433,258,
424,495,674,986,985,196,934,411,362,444,961,557,282,367,602,304,120,350,863,
814,768,900,497,426,503,419,762,076,904,444,169,347,111,122,188,825,204,449,
478,696,721,593,631,732,055,235,409,182,839,325,478,292,657,828,827,751,369,
345,352,992,219,850,402,957,508,474,794,730,951,911,891,032,510,761,302,345,
748,408,761,378,256,631,091,749,752,402,415,697,193,739,918,804,983,326,711,
810,160,006,587,923,959,859,654,026,738,802,216,026,531,659,431,220,387,324,
177,068,950,251,395,153,777,806,049,910,649,510,043,312,460,892,148,001,822,
474,456,972,361,542,128,841,910,185,413,022,570,733,198,499,390,921,520,001,
460,880,676,148,118,179,074,483,744,771,054,498,963,130,421,641,187,954,140,
287,456,449,181,440,257,213,473,943,710,075,725,540,002,433,954,752,043,628,
249,963,814,152,043,786,237,243,459,882,809,187,887,902,833,762,279,371,046,
600,794,045,445,660,170,059,003,658,419,563,119,183,273,187,448,430,310,571,
166,441,394,754,359,846,125,941,632,189,467,729,295,240,369,150,253,601,001,
744,065,847,968,282,304,506,299,228,980,329,672,146,443,228,010,635,771,001,
304,540,447,847,916,717,744,956,058,970,415,884,355,027,731,482,400,285,557,
320,887,099,331,393,626,585,029,403,089,097,928,825,571,180,957,980,949,778,
589,001,263,166,219,269,579,921,309,658,535,109,174,679,435,362,605,957,452,
763,138,037,590,913,347,527,667,047,320,023,816,698,640,229,708,439,843,395,
373,463,705,524,758,941,210,157,865,964,415,773,153,738,018,344,244,899,944,
052,213,508,327,874,442,295,638,893,953,353,651,697,654,508,829,171,642,392,
171,625,764,285,983,226,502,382,989,582,286,369,376,056,069,170,295,875,689,
288,323,335,198,112,332,389,562,272,939,529,470,199,630,139,413,497,110,723,
215,211,766,533,612,999,971,310,461,392,983,164,620,430,198,848,700,971,070,
492,939,525,419,400,641,762,601,981,892,111,878,075,927,346,780,158,270,497,
312,788,456,740,879,333,138,224,121,569,983,044,791,843,450,127,234,345,813,
675,047,285,780,035,514,174,572,158,631,618,495,301,331,594,005,107,921,596,
533,062,650,364,115,329,122,407,782,469,118,302,168,699,867,259,589,623,442,
599,366,070,675,965,512,020,676,887,091,877,881,914,447,832,264,177,361,714,
681,774,839,554,852,243,386,749,470,048,899,126,254,306,876,379,209,882,133,
306,313,156,978,548,384,383,797,533,843,700,420,793,474,569,536,352,616,044,
159,911,610,339,368,600,951,950,312,972,016,747,171,875,820,740,321,384,033,
229,106,313,851,809,501,795,960,121,627,067,494,514,845,181,296,520,142,111,
702,665,271,801,613,224,169,255,052,753,344,940,464,104,148,189,848,168,248,
009,552,341,005,703,273,623,323,841,343,548,236,663,284,511,618,151,446,737,
517,451,537,307,674,960,318,168,709,713,286,017,680,151,066,306,100,670,778,
180,421,699,292,727,205,386,363,861,537,462,329,240,624,615,659,781,868,895,
962,501,549,109,038,371,728,941,402,658,001,776,505,990,013,446,375,390,874,
740,879,460,396,282,833,771,775,939,406,896,029,263,046,263,485,314,902,589,
015,167,580,907,171,597,563,206,279,966,278,923,520,611,388,286,527,868,525,
017,173,040,094,831,391,079,202,544,851,071,916,877,863,114,428,254,973,878,
263,985,142,800,169,921,821,358,731,064,752,092,959,742,076,765,817,198,843,
246,737,428,040,555,661,667,956,591,653,304,428,368,772,876,087,834,440,440,
743,425,040,661,737,926,492,744,310,401,636,234,076,382,873,955,060,984,934,
639,575,372,452,158,559,785,609,783,801,517,679,540,261,699,204,885,487,022,
933,448,648,537,001,045,718,970,921,564,139,702,104,883,341,529,975,499,323,
328,088,945,012,813,689,835,751,441,182,253,455,375,865,718,265,773,713,372,
599,007,892,983,777,931,711,384,245,515,301,275,228,907,842,266,462,176,989,
669,273,492,714,909,945,019,702,336,371,654,741,149,861,579,995,243,080,577,
284,257,396,933,306,387,847,736,467,908,503,539,230,673,032,273,048,131,039,
021,920,079,582,411,715,367,827,119,646,805,119,143,624,308,240,424,288,940,
376,225,168,840,065,459,840,991,063,458,878,063,700,693,167,285,497,965,105,
767,190,424,188,090,656,931,623,463,657,093,653,354,384,477,689,729,775,265,
154,496,200,473,845,119,806,376,427,742,692,459,373,666,493,265,794,089,580,
553,362,409,172,109,577,885,313,623,833,976,491,736,982,158,156,525,317,318,
253,631,231,124,481,562,988,547,746,555,211,844,986,818,457,809,356,067,700,
097,682,090,468,554,903,619,659,293,433,527,116,540,281,534,930,602,448,572,
102,031,817,734,960,574,803,363,365,198,609,688,949,959,263,772,185,643,469,
421,613,040,011,000,078,329,298,333,066,502,450,795,285,953,394,794,193,492,
355,315,379,425,543,463,072,551,653,110,309,991,390,782,628,059,789,924,240,
710,962,718,787,356,157,101,536,733,784,993,211,611,133,744,118,097,296,433,
514,700,774,342,537,096,983,175,538,498,982,249,422,669,406,942,876,662,792,
653,382,226,569,911,906,191,810,722,237,250,212,571,981,816,026,033,192,079,
054,642,009,732,796,281,949,491,265,564,409,600,468,903,669,948,085,696,605,
462,823,670,900,178,032,927,232,969,869,075,316,029,313,281,570,208,958,996,
125,170,941,064,741,055,547,544,522,525,662,678,890,135,542,205,200,800,101,
823,460,609,175,900,390,581,736,123,109,182,998,863,795,712,953,986,837,355,
806,834,568,528,034,800,561,304,346,331,827,373,354,335,970,356,283,366,573,
769,268,051,937,629,323,906,985,638,198,370,220,090,919,337,445,283,112,058,
756,213,590,619,551,943,595,478,932,033,773,617,302,431,183,549,372,337,815,
399,054,036,015,215,028,090,034,536,389,221,768,703,508,590,884,989,705,811,
247,108,111,777,823,307,069,062,922,791,045,122,240,686,498,065,710,067,125,
564,214,430,357,212,269,184,690,707,342,678,237,327,608,640,848,072,207,015,
141,537,465,273,066,804,432,870,818,574,992,704,626,947,835,521,932,435,902,
211,636,190,303,017,449,579,131,612,656,399,096,870,665,457,640,250,296,623,
332,395,092,427,595,746,582,932,289,616,746,748,375,330,574,396,913,577,516,
822,136,728,451,349,950,575,728,365,214,830,144,777,546,279,600,609,493,136,
463,889,989,055,538,251,661,522,853,262,859,408,831,269,706,989,256,359,246,
650,063,160,956,501,282,975,127,088,486,757,510,546,531,295,124,278,437,730,
969,952,583,490,557,616,728,024,110,645,966,040,452,720,523,147,987,797,783,
153,438,431,926,777,050,770,972,593,338,933,504,191,197,829,812,137,802,805,
678,978,138,510,664,099,235,126,335,081,897,047,780,152,965,298,631,562,417,
390,618,890,392,030,346,263,778,866,708,393,769,340,788,540,496,182,786,863,
957,624,218,372,064,062,360,847,154,555,764,237,385,522,068,616,579,729,590,
194,009,204,362,788,315,655,559,307,592,080,205,772,082,005,787,266,809,872,
537,932,788,372,753,592,327,311,326,698,730,020,496,208,713,125,371,108,422,
342,977,448,312,129,789,151,952,028,369,211,855,449,965,114,778,477,622,256,
117,332,600,504,988,246,243,794,735,550,343,047,582,403,178,403,564,666,853,
325,606,383,949,527,831,718,618,343,032,677,299,134,862,994,643,320,518,622,
973,525,353,070,381,886,553,034,174,776,081,920,588,292,133,658,452,735,214,
513,550,391,541,511,357,514,585,468,869,757,735,629,479,814,529,739,908,448,
905,893,716,415,299,298,444,417,397,768,863,531,928,046,025,204,004,057,926,
762,738,478,792,122,972,309,940,365,335,849,342,141,856,402,145,997,687,298,
371,973,591,570,342,070,748,877,741,664,169,150,979,277,458,512,679,025,505,
811,836,691,782,844,606,905,560,324,527,117,113,642,902,882,431,120,765,909,
506,119,853,282,521,691,577,150,068,502,928,326,206,365,643,756,353,755,042,
342,695,631,710,916,793,525,454,375,577,942,440,496,784,470,130,803,165,556,
323,360,655,830,638,852,559,501,252,996,111,895,610,382,649,517,699,645,240,
370,708,386,203,364,091,541,521,124,395,857,781,840,400,885,208,369,378,347,
957,274,911,251,758,955,439,011,080,460,473,907,866,115,176,962,658,312,317,
219,442,598,446,182,371,122,250,561,161,384,532,635,701,477,399,105,325,406,
706,404,666,496,306,964,830,718,243,902,766,910,309,225,570,943,966,368,885,
182,678,503,996,914,624,608,251,032,287,317,777,169,211,072,430,664,518,168,
487,830,586,802,902,646,881,324,149,884,189,344,323,342,280,142,209,758,546,
399,555,237,103,365,263,484,963,136,062,225,472,224,533,590,280,198,445,222,
773,754,270,420,634,149,625,219,061,699,503,885,700,186,580,090,451,903,952,
905,649,298,080,993,871,626,165,991,021,768,785,875,800,233,956,323,646,131,
678,400,738,821,308,629,487,129,884,869,731,970,592,317,670,618,509,160,250,
581,086,978,133,310,595,528,696,649,787,696,007,739,480,355,912,302,415,937,
251,784,321,401,720,818,713,450,988,430,786,422,469,009,368,723,063,752,948,
998,232,442,937,286,740,586,042,595,921,187,983,870,823,096,610,594,989,994,
453,651,642,011,566,077,408,411,983,203,352,831,013,172,326,231,771,814,372,
115,651,443,746,117,336,133,216,032,880,316,055,243,508,089,886,704,240,694,
205,829,934,379,424,747,542,916,505,658,472,080,247,459,904,987,294,132,256,
148,630,796,284,455,080,988,247,486,642,056,092,659,106,763,407,751,738,553,
441,001,440,470,927,977,707,534,406,631,850,836,035,877,054,388,883,467,908,
542,346,122,178,031,437,145,692,669,344,527,019,118,733,839,727,638,256,879,
156,973,241,585,469,849,643,730,451,645,047,183,497,729,274,200,972,594,289,
527,572,737,285,675,336,436,187,017,798,908,680,443,062,309,133,465,675,752,
884,182,600,613,175,379,008,061,342,175,343,334,095,106,831,912,905,063,479,
701,408,681,304,101,341,604,912,065,350,910,947,415,487,936,699,731,561,282,
580,377,433,793,798,613,000,263,841,147,829,987,263,800,737,486,169,354,798,
642,745,473,805,183,773,949,099,892,475,484,727,802,577,368,018,171,707,623,
835,932,176,997,030,082,729,254,323,574,438,614,327,030,516,789,714,200,356,
422,822,119,895,664,397,087,249,478,373,879,583,616,136,867,845,150,449,246,
503,927,481,498,625,587,730,816,973,492,765,282,375,558,260,719,250,867,703,
106,492,935,000,419,826,609,408,774,522,313,317,684,250,691,425,465,205,657,
207,024,014,072,006,124,978,363,333,461,022,193,554,568,161,186,594,992,407,
318,633,023,223,188,500,333,224,287,825,016,738,794,442,647,585,415,132,532,
917,562,917,962,846,626,948,118,509,512,675,615,516,478,116,159,107,446,406,
202,789,091,239,054,880,684,005,564,634,681,531,040,769,425,789,730,002,653,
687,742,701,555,267,419,902,071,389,736,997,029,337,314,290,979,789,700,015,
316,978,563,086,830,842,459,026,111,217,049,322,423,609,133,853,429,491,757,
671,806,671,474,309,791,654,966,551,207,914,249,599,288,032,899,094,767,644,
621,321,044,961,681,998,256,297,101,768,142,372,118,996,932,437,245,329,346,
982,277,245,273,769,071,353,325,608,559,404,280,164,737,759,707,937,628,114,
814,520,229,506,591,031,581,480,103,469,338,983,983,219,147,581,136,331,514,
123,967,131,752,021,673,471,307,963,143,237,119,575,039,116,889,145,541,805,
630,915,655,198,707,690,787,598,428,829,261,823,862,458,794,697,776,796,754,
729,510,066,467,488,402,624,743,380,686,617,641,158,605,204,985,805,334,968,
553,926,048,034,063,416,570,393,696,276,855,922,347,906,475,355,539,239,489,
134,212,700,557,848,955,619,688,446,795,917,376,140,419,428,115,657,493,220,
073,530,478,972,472,138,502,133,145,912,003,505,272,739,389,182,535,767,458,
776,926,918,559,669,057,527,802,577,390,645,382,123,592,390,845,398,461,201,
018,781,246,546,260,341,180,582,646,337,062,492,280,587,396,503,981,285,358,
496,054,663,228,359,720,289,806,637,217,169,829,634,251,081,616,731,022,456,
025,207,838,556,937,812,238,693,438,755,157,367,268,205,909,946,695,362,833,
011,722,555,767,576,612,633,800,582,872,949,263,307,584,624,168,269,301,124,
810,573,365,749,971,490,535,077,433,159,664,821,921,809,939,682,576,033,381,
543,287,632,591,964,464,135,475,217,761,604,833,659,373,246,172,096,768,670,
405,190,747,560,874,043,251,310,820,925,728,016,864,266,347,337,230,310,066,
242,351,317,769,241,872,114,657,848,345,194,461,896,373,686,177,970,843,377,
884,591,928,176,313,895,339,806,132,700,233,414,333,538,046,551,015,877,699,
827,342,509,171,889,004,504,635,209,033,585,086,372,487,322,809,872,490,265,
984,733,097,372,007,368,474,789,122,428,531,538,560,784,608,122,617,185,458,
653,733,399,023,212,808,033,829,494,303,114,039,588,004,940,039,567,071,218,
699,510,670,728,871,284,741,295,917,980,890,734,830,514,953,132,943,479,770,
535,118,081,479,536,292,421,133,729,451,915,282,758,326,654,040,080,789,514,
295,680,443,544,958,137,930,967,915,753,712,440,389,541,218,341,283,486,522,
776,461,511,564,632,545,532,551,909,186,486,804,409,717,916,852,289,592,019,
429,161,091,686,621,210,301,259,487,797,506,869,796,474,738,469,762,684,549,
945,075,130,161,057,639,335,236,928,707,616,621,845,482,795,933,068,438,944,
005,244,096,245,297,744,350,236,903,638,071,267,618,185,204,096,604,411,621,
364,562,128,325,000,646,269,795,386,146,376,333,313,238,653,957,308,125,485,
523,302,775,738,724,054,006,738,497,135,422,554,520,949,995,062,781,529,595,
096,793,385,856,869,181,310,322,510,191,230,157,608,331,077,896,060,120,439,
200,912,349,491,904,952,093,674,338,850,701,833,427,814,905,726,944,239,883,
135,444,144,063,388,864,523,750,505,285,809,680,880,247,303,256,307,022,465,
650,644,442,481,409,743,003,405,428,985,196,313,417,144,974,986,752,815,161,
898,004,262,930,935,046,875,012,812,974,169,485,088,280,258,388,669,072,722,
512,323,570,509,123,682,443,319,443,493,065,566,648,380,866,905,621,423,169,
731,945,478,746,180,668,069,811,727,136,265,825,702,861,429,520,422,201,521,
337,078,921,640,411,327,368,555,559,541,728,315,351,856,653,844,973,099,886,
642,497,256,019,239,557,418,265,110,746,632,644,283,719,767,359,818,583,888,
453,839,440,354,841,213,308,474,592,254,069,077,642,247,207,472,684,663,193,
552,841,814,282,218,920,476,046,977,250,942,926,464,058,204,813,206,348,584,
975,259,790,017,188,713,056,682,425,332,729,496,115,492,753,268,794,072,556,
817,150,167,552,791,174,254,079,475,215,497,497,105,147,417,943,788,254,181,
230,732,050,924,353,484,468,129,626,276,146,928,859,504,889,985,356,061,951,
736,512,863,831,391,252,150,643,153,304,933,704,103,056,990,678,869,425,115,
726,476,545,067,911,287,266,647,032,559,099,031,236,384,429,525,773,569,537,
271,521,285,155,457,796,793,984,172,054,984,178,903,889,516,403,361,041,590,
645,839,676,742,563,510,044,538,600,978,889,774,065,576,372,192,663,166,514,
022,498,090,079,653,211,573,677,861,208,153,057,981,890,893,540,648,589,258,
203,204,042,783,424,610,970,092,470,420,225,245,912,883,254,193,290,685,542,
627,685,855,597,969,914,950,461,922,192,231,649,819,335,782,682,519,629,591,
069,952,885,195,658,340,087,894,662,389,527,437,928,042,987,191,443,343,254,
224,274,607,219,615,784,564,669,430,399,519,348,592,681,692,094,517,463,504,
943,645,255,551,616,145,381,008,093,867,914,210,706,610,937,799,844,044,036,
985,694,323,207,004,512,317,578,151,839,178,437,041,009,659,718,649,186,229,
750,140,524,349,202,078,808,492,130,017,046,265,521,477,922,165,324,844,053,
646,184,466,114,977,279,438,077,194,668,921,786,332,728,657,146,930,679,480,
625,441,202,269,319,668,356,020,487,540,807,230,423,346,875,115,662,959,391,
086,811,676,280,041,018,491,542,093,553,717,643,120,310,335,169,386,930,911,
908,331,796,263,919,963,274,610,058,575,209,190,605,988,467,362,815,304,382,
405,941,883,963,447,881,344,249,659,743,492,452,769,783,962,028,848,159,257,
743,674,864,317,581,864,983,152,179,546,999,360,050,625,003,690,766,713,105,
351,063,090,540,239,598,990,822,163,249,655,123,991,222,601,372,306,678,901,
701,165,457,523,710,609,819,905,304,131,692,587,026,086,589,521,651,809,339,
402,971,906,572,326,862,296,052,026,815,311,416,366,067,150,544,223,330,156,
321,148,646,161,419,793,220,727,523,540,929,203,223,567,744,395,547,388,041,
265,280,743,644,246,848,848,730,850,614,892,231,992,189,893,563,193,067,773,
497,996,375,076,777,118,633,411,418,252,225,453,132,448,553,781,266,990,492,
516,205,351,980,945,498,978,320,824,247,249,089,601,138,563,987,850,781,463,
606,745,965,084,850,748,196,973,740,638,755,465,497,433,690,960,298,682,709,
097,585,346,262,973,202,171,718,066,241,754,199,008,601,242,439,773,595,984,
084,282,732,555,014,748,236,679,209,317,983,101,638,796,191,910,687,568,043,
706,153,282,873,294,703,381,076,717,207,280,226,460,425,862,093,200,052,051,
399,841,791,873,781,805,763,797,717,861,419,664,645,183,995,095,898,913,736,
210,260,584,745,945,367,901,158,238,205,615,151,602,609,874,138,284,737,182,
550,259,249,282,425,919,324,822,966,216,144,884,642,180,197,773,620,986,537,
950,473,140,779,299,732,368,564,507,134,471,466,125,455,875,905,259,417,868,
980,420,677,435,021,381,742,479,556,468,806,281,164,283,662,585,388,696,371,
273,873,229,782,287,626,032,518,890,054,950,385,431,663,256,226,763,773,393,
549,950,097,395,344,914,788,535,213,467,704,842,586,403,779,949,272,643,995,
256,973,651,114,077,986,690,765,372,612,193,846,144,134,583,330,249,732,397,
912,219,811,193,490,564,307,731,408,333,305,998,838,843,193,202,316,598,858,
198,729,282,233,210,795,447,473,863,527,471,478,623,568,375,326,430,279,755,
344,266,717,965,218,625,958,368,177,026,839,954,678,707,718,271,811,532,884,
008,638,528,913,324,273,366,350,379,100,353,789,316,494,136,535,830,632,598,
281,860,086,324,760,820,199,025,097,511,042,168,537,937,177,657,475,559,665,
185,485,871,382,659,952,897,867,881,912,267,572,903,909,564,904,829,745,848,
129,219,764,748,824,267,067,444,219,788,236,681,241,040,165,512,279,725,015,
234,390,589,973,275,648,630,818,553,145,043,186,780,621,144,760,390,377,437,
089,943,141,385,746,542,615,792,884,170,855,818,863,567,830,542,237,767,677,
310,530,453,930,249,784,537,376,615,863,425,886,604,917,429,115,383,522,275,
633,156,565,592,709,149,662,368,250,673,115,659,603,773,517,868,646,548,683,
651,874,682,095,170,467,345,940,060,399,984,106,548,423,030,430,482,449,500,
769,431,583,860,735,013,501,583,368,695,941,777,692,761,927,200,877,396,685,
200,698,361,002,391,508,862,702,792,444,277,512,734,868,481,974,725,750,529,
283,095,920,551,646,223,086,369,337,833,533,404,062,930,591,821,892,480,440,
172,288,084,285,456,821,253,590,121,411,672,442,454,168,430,861,601,190,727,
425,221,368,259,130,962,343,555,021,303,894,965,045,785,343,542,350,764,985,
589,758,252,390,104,373,071,660,425,945,652,822,014,578,959,084,151,243,249,
047,980,214,417,383,675,165,959,742,257,647,542,990,999,022,668,609,743,137,
957,275,997,964,046,497,615,548,223,160,316,047,647,534,550,273,189,954,076,
769,004,808,300,697,630,776,033,720,810,461,481,161,617,975,388,572,615,441,
815,199,102,100,237,725,782,489,618,375,093,008,019,661,409,114,828,622,724,
602,608,275,967,160,916,239,342,721,869,303,243,363,387,342,913,131,984,626,
179,834,879,870,655,849,569,703,857,411,435,470,122,697,365,148,259,645,371,
328,529,596,210,804,823,274,594,299,598,798,798,334,877,553,377,248,008,288,
433,931,910,184,753,250,580,834,027,330,288,716,454,535,386,006,804,332,061,
210,712,336,912,150,679,086,300,039,573,593,818,542,080,800,121,248,330,227,
679,229,509,141,668,820,548,183,280,835,178,484,449,072,971,943,763,274,542,
021,015,029,323,848,145,110,322,616,940,388,615,874,847,764,824,035,330,971,
681,430,125,646,279,356,020,109,863,983,193,741,946,872,203,108,444,746,699,
904,655,103,797,967,698,250,224,536,867,238,047,133,737,235,476,046,474,470,
033,291,453,664,999,135,182,773,114,225,588,475,517,472,940,658,421,642,631,
031,471,907,322,446,578,913,944,343,422,402,139,730,443,823,818,696,385,546,
844,317,461,789,307,375,173,764,593,966,695,239,007,368,232,405,836,025,971,
633,675,067,198,860,183,493,191,825,521,032,967,931,303,884,907,213,554,633,
892,456,207,851,811,472,627,681,122,389,339,355,134,219,604,976,038,439,150,
500,085,487,101,596,732,134,936,487,080,922,201,980,294,968,928,510,629,792,
431,644,826,204,517,315,733,921,106,500,365,753,368,845,893,212,844,463,757,
490,431,398,807,039,884,809,718,241,420,886,103,789,527,821,880,778,334,702,
777,061,662,061,009,811,560,487,321,652,249,404,362,195,602,347,440,458,898,
643,986,095,946,227,725,707,509,093,495,450,675,351,613,513,754,445,016,020,
288,261,240,277,503,995,237,447,727,293,940,916,557,793,386,313,906,778,358,
414,649,923,250,617,328,117,607,694,709,716,526,717,304,609,164,859,132,298,
908,170,621,591,046,753,478,806,997,418,282,960,953,117,994,740,661,980,296,
904,431,079,366,945,720,338,517,533,486,633,385,274,700,034,044,556,879,667,
808,141,698,162,184,196,799,325,943,067,663,944,240,268,673,763,662,041,757,
002,841,311,526,632,079,826,068,825,825,074,331,814,108,342,015,723,902,777,
513,190,977,518,761,211,859,014,437,945,812,800,422,615,610,948,644,614,655,
327,160,011,156,008,128,274,898,886,900,081,051,136,687,664,178,254,591,614,
268,639,737,808,081,957,606,840,866,766,206,543,339,628,851,289,727,863,028,
716,038,085,191,887,760,213,961,720,314,607,892,359,512,139,657,500,830,467,
963,944,116,937,545,949,946,717,246,026,398,636,951,593,857,577,691,534,657,
229,576,707,514,759,359,934,902,838,996,018,799,481,038,804,237,424,012,543,
686,505,351,832,014,267,776,822,530,212,782,967,434,458,371,549,391,123,654,
425,593,249,413,017,318,171,634,008,504,791,826,326,231,096,645,381,303,385,
632,331,083,288,004,213,439,572,432,446,105,419,765,019,598,055,549,285,071,
257,624,492,398,364,768,900,286,254,096,226,870,219,036,903,244,191,996,759,
689,427,749,994,803,557,182,388,920,954,142,681,295,599,544,716,243,861,394,
652,069,296,569,411,890,870,040,680,059,444,022,848,371,595,404,121,965,206,
312,510,746,931,851,350,552,166,989,959,267,168,721,481,867,854,213,918,996,
844,266,820,945,813,014,100,175,594,986,392,881,777,061,441,772,059,720,764,
350,497,808,578,539,924,397,991,221,717,528,170,089,768,535,844,447,615,669,
039,289,222,582,273,059,630,953,866,116,900,751,857,851,817,349,041,696,605,
531,840,426,025,864,515,963,878,836,670,195,356,351,308,797,760,980,666,784,
636,642,927,108,177,202,062,807,142,946,407,010,245,151,207,626,031,149,032,
152,081,108,332,668,172,774,600,137,585,837,205,305,101,195,658,361,292,431,
502,262,114,212,290,220,253,729,429,563,324,602,295,670,647,161,298,325,130,
067,700,164,131,144,688,869,863,577,763,944,571,479,826,640,706,149,596,534,
883,335,965,504,453,693,606,051,938,352,810,800,699,349,227,547,861,510,788,
750,742,178,511,125,970,819,337,404,199,148,222,174,015,866,626,564,657,566,
182,908,794,185,067,287,688,814,682,700,955,056,516,604,649,549,181,569,066,
501,403,335,178,677,561,026,355,704,038,199,973,010,925,221,966,801,277,993,
151,786,639,268,915,603,280,764,511,725,937,541,706,451,465,147,709,846,366,
275,896,313,212,463,440,419,512,276,146,943,481,811,401,499,081,407,176,201,
536,793,290,377,663,266,572,165,477,477,798,570,857,177,216,819,414,760,379,
148,372,581,953,850,883,981,393,532,158,912,014,690,865,076,263,000,774,119,
794,671,070,501,084,017,483,102,910,240,707,430,683,925,211,852,513,606,034,
343,003,740,257,556,073,688,341,765,651,623,312,811,010,487,676,135,649,067,
971,758,369,017,130,777,949,820,906,253,798,123,452,932,337,114,303,720,874,
939,912,370,118,916,817,387,854,142,358,765,319,063,893,535,864,706,343,931,
275,054,563,793,733,372,488,209,452,325,583,700,788,697,251,254,346,387,885,
743,453,804,619,506,408,158,590,238,990,691,634,121,290,686,531,258,284,399,
980,041,811,156,258,216,557,619,393,409,609,456,272,449,483,350,284,781,725,
896,892,121,960,055,367,599,430,240,307,032,728,333,514,998,261,007,423,679,
978,278,134,628,958,931,502,976,224,703,530,717,842,241,274,483,234,899,205,
182,692,701,631,148,035,055,136,922,163,014,283,792,051,312,447,460,228,193,
778,831,243,354,814,588,027,273,581,513,182,347,737,704,548,692,170,394,154,
981,164,226,453,274,256,907,880,366,110,325,215,281,580,083,893,503,166,757,
162,549,111,851,363,568,469,891,548,606,194,059,678,127,683,411,548,139,680,
222,481,085,543,494,403,600,303,945,932,253,881,105,366,613,454,932,404,054,
603,139,810,528,589,172,490,657,975,745,636,718,118,328,424,522,540,880,434,
013,466,675,099,054,305,335,228,206,687,867,621,224,834,081,407,381,346,451,
152,532,671,630,957,233,911,725,580,444,117,408,469,987,624,716,829,151,664,
001,276,249,765,548,908,891,621,843,607,481,729,742,423,215,868,333,584,404,
289,508,044,449,858,079,354,123,903,502,854,194,750,025,559,350,072,905,016,
849,325,974,764,123,753,935,138,961,640,643,346,519,689,779,173,069,284,868,
357,715,019,782,082,139,329,146,987,313,850,392,981,768,185,850,953,500,259,
553,951,729,088,608,868,425,722,969,664,562,513,294,866,597,255,974,579,760,
502,848,748,721,984,554,357,828,263,933,276,719,829,318,728,082,058,709,908,
630,092,190,316,328,885,646,814,303,203,241,979,471,264,018,675,378,865,208,
799,944,621,196,207,138,258,359,996,279,979,745,425,536,630,485,376,540,879,
345,249,089,586,085,767,785,775,803,560,013,267,877,059,889,632,156,164,624,
109,095,629,715,985,126,703,638,265,256,126,612,171,049,831,430,290,547,611,
733,333,984,524,630,045,198,116,105,000,479,894,567,798,195,345,297,780,104,
169,297,369,057,857,466,882,414,453,462,767,100,620,217,965,324,054,513,048,
388,472,251,956,190,329,909,125,139,229,163,288,000,079,547,416,953,516,841,
908,508,626,534,353,075,148,800,644,649,511,897,852,821,167,485,892,077,757,
463,323,255,781,348,824,940,931,637,475,812,811,806,761,649,212,063,728,771,
313,558,099,195,843,381,965,119,846,275,092,996,066,094,768,792,723,781,731,
841,536,158,926,054,155,352,379,586,607,792,061,240,113,126,577,273,102,150,
261,904,414,825,098,141,093,733,664,168,175,746,912,829,227,405,849,156,206,
145,867,432,032,171,487,591,978,337,729,157,137,425,812,658,696,120,048,025,
965,014,098,898,043,630,753,907,017,776,399,033,499,154,030,983,784,806,307,
920,859,985,541,439,501,695,202,979,366,560,201,887,520,603,980,705,921,872,
640,634,312,537,258,065,862,122,089,480,244,767,916,952,889,164,270,088,756,
785,684,710,014,046,183,286,620,836,044,158,057,122,484,806,336,953,626,317,
845,325,093,244,866,788,653,920,399,995,946,221,278,231,741,291,584,442,458,
418,319,585,759,222,026,636,469,707,194,219,969,956,770,921,376,170,410,693,
113,372,879,380,959,477,010,536,823,191,415,297,787,876,350,079,048,743,912,
562,627,414,126,001,747,763,316,725,702,180,936,937,974,419,430,182,241,455,
838,385,951,305,773,209,985,153,770,617,702,668,299,549,309,637,075,060,939,
723,320,508,706,618,312,693,020,129,640,586,702,970,603,012,715,351,843,256,
859,999,501,743,926,444,325,515,811,028,013,633,215,315,397,503,638,216,042,
344,350,479,986,251,398,024,738,627,242,498,051,707,850,233,695,215,890,222,
366,070,042,230,591,025,535,439,007,531,760,592,972,155,836,798,127,535,831,
277,897,109,682,679,847,545,430,507,034,139,169,726,673,685,239,474,727,509,
201,527,131,356,342,949,914,277,999,162,683,608,459,118,839,168,638,604,490,
458,201,260,564,610,578,768,118,378,936,331,984,567,727,829,379,096,202,297,
547,690,647,451,402,960,214,429,363,441,719,670,365,219,542,050,991,075,984,
783,501,724,631,705,368,375,361,109,235,356,046,847,890,570,948,904,091,043,
921,432,153,715,186,424,613,268,824,657,627,699,937,192,625,091,944,049,128,
188,593,759,563,885,581,686,845,073,117,221,079,411,363,041,951,910,796,076,
591,074,649,540,856,692,155,818,014,177,631,693,557,316,537,914,289,690,272,
625,185,853,324,464,529,104,097,228,378,483,755,393,013,567,867,135,640,774,
434,234,976,760,245,769,577,435,675,337,063,211,033,315,178,023,423,875,422,
073,649,915,368,052,007,320,683,599,896,927,543,494,269,131,928,800,965,038,
203,834,973,071,024,315,527,605,344,549,782,445,192,571,044,490,175,692,976,
891,081,224,096,748,456,786,114,841,410,027,741,315,252,830,584,526,470,671,
963,145,008,767,451,086,500,904,439,427,479,393,659,926,398,351,276,298,011,
578,929,651,252,234,779,413,623,682,063,314,209,649,407,637,245,310,826,857,
059,898,539,677,340,948,003,745,975,698,043,275,805,382,071,769,774,486,552,
634,398,769,799,015,479,808,245,923,968,763,734,674,798,528,404,554,633,469,
702,453,697,922,987,746,403,726,950,632,122,891,793,534,475,897,238,667,115,
106,862,726,422,129,934,030,783,881,778,239,207,719,886,859,922,299,492,638,
329,696,717,383,895,401,461,391,928,159,014,220,863,766,664,713,766,539,063,
914,948,415,364,883,624,428,514,703,403,269,127,604,373,985,322,137,821,694,
367,860,144,141,502,218,082,702,633,238,749,388,919,073,622,542,579,712,319,
683,370,328,282,551,100,846,942,634,227,559,227,939,079,282,456,009,932,417,
649,924,528,020,927,304,519,105,277,956,617,696,386,871,684,456,730,402,233,
219,706,235,082,659,859,928,478,481,059,446,761,893,646,458,188,847,998,839,
678,661,571,850,684,291,454,795,529,865,151,097,635,792,078,198,968,281,713,
449,986,378,307,912,398,054,702,738,520,921,484,120,026,239,600,453,520,636,
697,251,758,071,317,138,698,901,023,147,131,088,443,759,865,334,844,149,792,
884,772,978,444,074,126,991,263,593,613,934,473,810,931,510,479,624,523,542,
341,460,347,215,544,307,436,752,168,605,572,291,673,765,326,688,754,580,718,
929,187,167,770,054,542,921,924,551,888,862,876,604,480,657,139,609,275,643,
469,135,454,843,852,540,559,696,633,854,122,506,251,825,910,149,619,091,260,
007,838,944,500,479,334,738,795,914,655,857,546,724,411,574,189,179,138,846,
765,496,493,658,153,292,338,556,472,133,000,156,372,768,782,957,119,964,514,
673,210,721,990,341,662,588,514,847,623,423,307,138,807,335,752,905,825,592,
670,935,607,891,274,258,086,119,340,671,692,671,084,463,719,757,076,487,852,
391,810,339,108,858,854,477,035,711,170,280,408,009,364,567,173,933,000,992,
329,803,931,319,577,177,639,088,932,407,908,556,013,707,581,368,429,885,099,
544,230,834,443,564,066,007,815,081,758,837,922,723,476,466,967,902,770,726,
056,112,086,843,370,609,326,327,472,130,282,528,805,651,405,121,436,718,469,
980,206,108,932,048,912,072,540,494,102,499,066,072,515,913,277,178,262,135,
877,169,276,036,731,729,889,611,187,290,529,753,662,256,138,767,760,451,830,
070,524,149,458,967,261,836,290,847,140,969,106,852,566,698,500,103,017,247,
859,152,117,568,570,321,054,414,995,275,907,330,081,613,621,489,339,582,886,
529,899,911,298,695,293,728,520,145,768,627,822,937,611,800,800,369,966,802,
247,657,933,470,917,606,124,708,741,977,612,712,325,807,436,662,639,641,577,
497,932,039,736,190,553,481,338,108,463,829,931,040,666,290,455,942,968,500,
251,242,801,573,653,610,318,991,843,407,717,338,714,875,893,521,819,995,083,
755,696,494,164,624,946,009,771,383,424,831,970,203,175,805,313,205,603,901,
470,880,057,337,174,383,445,673,993,714,527,911,049,009,331,237,282,065,456,
191,396,911,069,377,094,399,821,463,313,483,290,810,062,751,150,704,578,217,
819,324,421,207,231,250,612,413,674,690,736,000,776,991,377,081,227,984,981,
649,350,045,109,878,374,815,277,020,157,482,456,650,265,365,014,576,347,685,
579,054,051,320,023,693,263,594,704,702,578,335,968,321,844,386,351,286,673,
392,999,430,243,984,107,408,626,380,750,524,033,927,107,444,621,226,308,821,
241,962,146,463,692,044,297,205,501,132,957,981,006,963,146,922,429,592,314,
300,740,991,943,853,970,335,681,224,497,526,894,596,598,721,938,938,032,809,
831,220,193,302,827,181,204,521,016,001,042,124,820,376,852,435,515,170,191,
077,761,714,424,345,236,790,280,298,604,250,807,861,461,243,473,855,860,946,
009,540,619,961,845,211,611,402,294,465,023,507,274,471,058,301,416,275,447,
087,058,111,103,034,011,597,414,159,490,969,688,489,071,339,610,170,162,095,
567,963,453,790,039,802,332,775,730,697,245,075,370,868,894,108,779,251,794,
830,194,586,889,180,922,548,781,371,496,329,042,499,321,737,720,625,690,837,
878,707,297,259,371,835,685,574,794,099,229,803,620,241,136,876,378,539,226,
523,713,975,258,924,167,434,550,175,719,388,213,846,272,753,355,588,851,780,
533,910,719,475,086,415,260,857,586,984,449,438,436,887,493,512,956,469,345,
683,404,768,219,604,515,727,079,687,792,405,954,350,240,969,615,948,144,874,
386,021,443,208,419,526,544,901,369,133,318,890,073,196,810,608,331,866,403,
195,091,408,467,542,285,521,452,004,542,471,303,242,062,630,831,078,551,667,
850,578,057,183,251,762,636,649,722,275,569,165,632,718,747,496,186,134,879,
401,214,291,822,336,129,222,716,274,298,546,711,968,034,868,650,684,735,484,
050,269,121,648,808,703,525,165,040,086,349,949,442,779,163,929,225,068,049,
427,045,623,250,848,930,741,182,278,506,370,778,811,516,870,499,031,428,339,
968,880,351,744,564,331,869,160,505,484,256,156,632,734,238,995,083,276,995,
349,404,212,758,826,049,717,964,260,546,340,810,523,902,312,535,687,457,103,
466,990,292,121,031,201,050,325,876,730,398,243,219,575,248,169,412,608,343,
793,365,071,242,232,066,231,999,424,287,614,707,691,177,684,286,553,680,866,
003,944,554,994,560,474,578,591,620,799,513,518,511,104,840,456,246,248,606,
610,575,693,227,089,378,058,655,421,284,920,124,038,234,039,809,546,917,164,
459,960,470,363,144,311,246,324,425,334,358,278,464,051,456,872,566,567,047,
380,327,633,293,344,314,110,605,340,270,398,472,676,381,112,897,847,437,061,
590,610,744,477,425,293,521,343,069,284,704,868,988,428,800,135,865,912,117,
753,786,327,282,667,026,662,537,583,988,419,087,408,745,227,293,224,485,689,
644,467,139,657,078,851,428,362,199,814,106,078,141,804,270,924,925,829,411,
891,662,177,346,458,422,780,702,815,416,917,979,942,416,913,542,544,326,703,
284,924,248,058,310,686,152,202,066,888,214,309,449,259,589,967,410,117,129,
450,324,028,089,359,132,882,765,031,781,330,499,757,010,083,247,456,091,709,
058,424,126,485,471,512,801,247,273,484,937,742,054,681,247,294,947,001,210,
725,958,743,737,602,868,272,764,348,239,039,580,377,868,141,438,674,332,469,
534,176,851,828,356,874,908,449,211,556,127,824,048,409,140,889,613,725,272,
030,647,723,408,891,311,743,894,106,730,911,052,975,361,228,206,573,835,608,
252,292,448,630,684,221,190,718,790,789,247,535,668,045,252,102,462,853,200,
274,572,449,890,672,406,142,311,712,240,427,894,785,470,775,178,722,209,871,
794,644,081,233,808,928,886,045,302,510,221,563,067,635,583,555,476,982,368,
483,096,332,907,685,301,429,238,824,502,923,762,730,289,591,203,661,267,167,
641,141,037,492,319,773,758,962,994,418,045,081,597,949,178,261,970,506,273,
556,995,099,672,277,933,433,214,213,446,362,902,768,595,966,060,294,678,981,
458,417,859,683,418,960,150,495,646,904,375,836,640,413,831,551,282,378,350,
774,166,504,723,286,930,876,063,856,706,815,640,135,644,979,302,180,471,539,
456,976,448,091,780,312,702,639,549,993,484,906,478,126,898,481,253,493,928,
151,744,739,040,530,909,952,758,576,173,466,970,194,736,285,672,031,378,087,
120,480,525,068,695,399,460,579,069,024,766,337,598,385,412,063,946,675,439,
264,314,097,785,335,198,114,634,575,804,556,648,806,027,520,836,712,055,193,
823,661,661,137,298,349,393,741,269,778,141,517,729,254,636,924,401,664,681,
647,847,600,154,346,774,197,868,652,503,535,638,028,714,690,325,956,779,400,
333,127,153,184,415,557,821,031,925,520,350,227,299,445,003,119,285,987,986,
108,372,177,235,522,017,508,742,042,225,273,492,840,145,284,305,708,572,154,
859,867,018,498,455,399,297,918,261,542,777,331,753,701,373,693,580,844,284,
514,297,323,855,441,584,407,852,636,867,213,357,629,036,126,101,756,678,452,
709,600,820,272,598,248,211,993,986,037,376,040,884,442,468,215,206,982,964,
232,298,006,353,677,556,592,908,850,442,552,060,768,654,759,775,367,809,341,
611,082,769,894,994,689,537,388,313,569,681,437,966,289,562,229,099,270,185,
747,316,527,044,645,521,931,010,744,720,447,152,166,145,454,495,107,009,465,
336,572,755,258,561,073,178,237,638,175,626,458,661,393,757,326,372,755,557,
318,431,251,195,015,046,071,434,469,959,371,331,715,134,901,699,509,026,961,
510,186,452,749,810,487,172,284,528,430,371,314,850,334,710,079,183,425,411,
213,365,453,392,687,298,931,865,387,675,144,305,452,267,868,829,919,414,639,
768,325,971,988,972,511,310,500,662,533,456,405,030,908,303,212,498,997,191,
191,338,772,517,111,512,948,009,739,419,424,260,128,970,804,543,228,850,702,
986,411,988,741,385,505,231,860,615,278,208,552,675,950,699,250,937,811,515,
055,562,859,155,441,132,490,275,251,250,110,227,028,756,514,102,918,232,567,
575,175,131,827,036,767,656,936,181,509,264,975,294,184,293,205,866,519,645,
528,402,840,142,585,773,243,049,221,522,932,713,922,851,744,371,632,249,029,
924,389,806,488,039,332,573,425,261,220,989,299,647,943,373,713,168,531,685,
736,204,303,729,834,764,393,961,129,028,919,650,941,949,745,714,273,544,619,
968,149,720,925,949,901,902,529,060,426,031,276,888,073,787,300,036,272,864,
719,978,987,468,540,258,075,124,532,963,854,095,376,031,415,197,416,668,819,
912,025,287,854,095,938,582,447,971,275,486,393,897,521,121,962,992,675,402,
884,750,506,078,238,207,203,634,416,437,281,300,889,605,734,124,871,399,336,
839,274,401,745,661,804,842,595,504,511,743,860,819,165,990,238,610,224,312,
382,197,003,630,365,604,408,952,355,981,253,640,410,331,280,655,540,618,526,
429,205,312,006,416,108,478,877,566,592,143,032,730,945,461,775,446,232,425,
948,357,458,629,351,091,025,388,474,023,436,009,150,302,652,012,135,826,858,
857,424,487,995,193,818,917,151,142,206,751,585,880,923,818,178,740,952,665,
231,329,342,728,974,387,814,596,742,670,450,388,442,857,677,618,381,601,886,
653,508,107,512,885,861,823,823,381,991,442,244,781,548,313,224,729,067,856,
456,659,330,492,902,256,459,299,835,761,509,351,067,348,619,381,454,723,189,
500,194,120,716,168,460,620,528,858,963,769,165,346,234,254,492,116,798,046,
998,911,041,957,945,707,682,341,086,907,628,040,477,090,251,694,314,257,705,
901,189,879,703,622,952,554,799,496,181,430,900,149,407,022,511,295,977,290,
641,859,440,567,815,660,859,048,119,756,251,266,285,321,787,130,643,362,913,
905,673,094,456,259,457,891,871,846,038,498,456,060,405,950,266,324,311,414,
599,539,409,047,622,961,641,750,688,357,998,819,980,437,785,441,399,537,458,
164,019,654,846,607,468,049,679,923,583,054,020,919,160,243,453,561,291,390,
732,776,761,524,262,045,362,449,679,916,767,620,632,472,885,618,511,696,817,
956,129,432,066,489,942,342,328,524,671,103,780,612,243,749,439,928,379,544,
146,024,273,401,986,142,955,505,265,002,640,205,681,039,812,377,802,127,623,
727,258,033,473,481,165,162,789,225,827,043,121,217,518,793,996,998,999,371,
896,100,168,844,708,335,031,484,087,936,096,067,616,560,628,288,340,124,559,
035,708,155,192,953,695,790,434,359,345,372,652,454,943,592,324,955,554,088,
494,885,443,487,739,281,656,262,614,852,538,178,447,426,879,876,879,111,385,
898,021,882,897,232,881,450,510,191,438,327,269,462,854,813,847,039,080,428,
589,218,577,071,391,829,173,781,172,291,857,030,076,665,359,711,835,315,766,
108,318,991,016,603,953,644,947,890,845,049,561,458,890,438,778,779,501,244,
676,804,023,009,681,284,091,825,255,723,325,182,316,413,021,672,146,781,064,
783,892,841,502,279,398,394,416,472,658,640,373,778,863,139,708,801,148,866,
410,173,266,224,551,252,338,322,153,623,616,355,771,195,767,598,384,869,404,
943,670,114,393,305,369,762,613,060,429,485,200,428,671,864,511,679,054,150,
248,357,106,056,549,537,521,366,577,915,295,525,367,186,591,930,558,478,926,
527,339,547,211,085,081,744,821,240,268,671,625,235,070,407,450,330,984,152,
951,190,495,748,934,384,701,841,379,670,567,782,073,522,470,897,897,185,324,
524,680,655,096,584,396,420,048,407,779,013,806,405,239,769,555,562,593,541,
707,647,010,639,758,419,895,721,747,336,778,858,600,477,094,153,387,221,053,
948,849,795,414,165,768,898,776,621,352,731,902,662,101,539,936,381,326,718,
709,065,065,940,010,497,864,028,275,891,113,264,721,884,221,917,284,146,044,
257,778,362,606,631,129,234,943,167,564,365,453,258,350,998,061,572,144,737,
888,678,437,391,298,394,204,645,986,768,191,269,938,049,756,471,804,882,914,
669,354,065,102,793,960,587,670,542,384,896,211,970,917,956,583,324,676,033,
421,582,476,889,780,122,528,236,177,468,267,024,963,349,126,894,160,832,120,
120,430,963,563,824,292,140,630,946,206,530,190,174,330,953,884,746,846,734,
482,054,126,361,485,221,421,619,318,212,246,670,505,801,610,570,731,260,207,
696,767,853,225,667,768,806,271,743,744,677,769,767,077,740,674,604,275,099,
268,521,443,912,621,193,136,974,925,711,295,152,268,290,830,706,534,257,558,
239,400,241,765,040,647,230,908,120,818,743,188,400,553,588,064,209,258,387,
794,984,985,785,870,301,574,346,816,542,193,036,547,440,667,289,125,202,371,
919,915,466,724,252,849,238,668,464,778,447,536,442,453,170,092,267,485,684,
777,451,063,401,522,211,668,521,282,423,855,505,910,747,816,008,995,941,075,
561,744,000,146,653,409,769,049,138,763,775,146,525,263,668,291,386,518,708,
950,920,701,144,500,212,001,683,835,688,534,942,174,604,780,173,403,674,362,
599,014,889,157,422,952,154,126,710,527,557,501,093,771,105,743,165,911,561,
892,433,990,071,848,758,530,704,619,737,201,424,868,997,930,584,232,123,028,
877,570,640,848,490,642,979,731,984,400,977,451,633,640,920,760,112,127,485,
294,187,188,087,696,415,171,075,515,208,729,132,164,495,730,342,402,831,481,
225,147,335,619,000,852,330,903,220,608,840,523,789,630,712,075,618,705,517,
235,036,165,895,766,794,034,983,977,410,966,647,248,114,218,442,671,488,741,
183,228,026,613,207,777,794,694,297,636,731,493,197,398,962,776,647,424,664,
977,244,205,571,183,514,222,243,312,434,199,150,357,310,297,768,028,649,357,
500,363,305,875,202,684,285,958,188,171,474,112,279,097,246,561,460,248,646,
998,721,264,422,133,960,536,240,082,268,575,005,977,293,374,147,297,719,340,
904,666,741,246,532,806,133,498,976,283,092,249,873,825,257,958,942,732,814,
022,841,631,071,451,491,453,412,841,370,252,560,062,915,063,754,823,481,015,
274,804,959,669,653,644,821,642,981,478,238,805,285,123,051,761,882,345,024,
223,987,207,963,672,695,706,267,944,894,254,356,541,952,365,606,877,303,385,
926,826,969,504,651,011,119,231,198,916,410,214,274,733,377,573,794,848,127,
492,148,285,304,339,072,908,720,848,458,975,487,427,932,726,543,474,811,025,
460,128,313,146,814,514,575,607,849,406,271,307,557,100,000,753,330,953,617,
470,311,157,135,966,281,397,410,830,678,419,822,358,239,624,481,097,107,434,
513,308,319,497,164,314,511,213,924,431,045,526,350,715,043,476,964,003,899,
631,583,130,956,479,985,047,642,404,108,149,687,943,805,971,607,484,630,868,
234,625,342,528,032,975,223,276,144,433,024,490,022,699,670,699,566,863,336,
864,710,998,624,480,398,367,636,729,263,592,338,708,470,721,308,067,603,149,
441,831,221,351,809,766,329,469,913,091,641,731,865,386,859,936,705,574,440,
735,470,350,478,937,904,662,763,806,036,930,257,398,052,763,757,189,600,562,
030,082,855,631,747,055,378,406,610,594,566,830,221,359,120,204,809,704,228,
973,195,010,144,311,470,832,783,554,825,687,614,149,199,180,665,168,215,998,
714,223,846,623,154,854,985,552,957,800,800,649,806,845,744,522,928,926,317,
824,260,639,099,997,494,214,763,553,390,351,030,816,652,371,687,775,769,629,
863,156,782,756,682,471,389,813,856,549,456,735,375,440,263,982,136,882,984,
320,459,027,853,922,795,747,443,215,514,130,741,027,768,003,533,167,105,747,
096,135,578,659,999,622,323,285,319,956,424,623,433,833,026,167,417,678,856,
205,096,524,549,944,535,854,832,032,088,401,745,248,009,228,602,667,297,920,
756,646,754,958,467,723,849,019,279,277,260,976,167,101,221,966,565,512,262,
378,453,178,281,919,881,298,215,990,264,092,017,016,922,568,629,128,127,507,
241,025,764,287,209,126,579,170,148,929,604,853,863,987,087,102,304,052,650,
872,870,250,422,823,834,701,672,978,777,363,306,998,888,148,578,262,028,642,
855,136,285,489,623,253,235,277,832,662,711,519,882,334,782,484,653,667,726,
444,993,485,753,849,799,964,953,018,413,061,620,846,949,711,964,665,202,475,
697,368,673,853,617,035,054,496,088,343,691,622,281,367,976,483,940,170,245,
790,450,194,425,213,003,314,310,691,808,264,434,721,443,501,305,328,747,855,
803,085,197,110,994,044,444,483,713,499,126,754,291,404,231,144,039,488,300,
242,497,654,106,821,985,054,002,755,022,290,967,975,161,314,029,279,940,142,
304,435,474,478,123,031,386,407,237,002,872,379,572,720,441,074,554,124,221,
188,217,811,484,778,746,472,043,858,131,494,531,046,847,254,139,765,516,807,
899,942,625,420,501,226,561,276,737,176,333,054,888,800,183,934,624,435,826,
546,503,848,664,296,250,924,420,055,149,033,261,210,312,288,947,285,217,554,
611,470,768,171,844,022,630,888,917,813,730,739,564,182,533,971,713,983,417,
766,748,679,974,436,007,120,234,309,308,224,912,839,621,369,513,493,837,085,
073,914,688,715,421,825,723,070,964,031,192,547,627,067,975,030,921,795,142,
066,990,902,563,683,104,071,346,054,179,013,302,012,872,594,956,125,143,786,
032,349,125,851,335,193,671,173,286,939,793,317,141,492,709,640,891,882,756,
043,203,184,753,850,841,628,931,037,506,635,474,468,348,853,880,070,326,978,
432,327,133,685,839,842,993,399,793,300,611,889,815,599,368,073,642,805,555,
113,863,418,032,601,679,887,355,448,596,448,403,912,460,496,428,267,619,023,
457,771,278,566,785,037,052,566,864,887,425,176,581,456,719,649,709,201,481,
648,842,569,408,841,057,164,218,773,289,302,908,820,886,544,972,405,007,350,
559,673,477,268,600,269,085,323,593,305,356,020,185,940,368,950,694,592,788,
288,739,487,778,454,464,461,455,561,268,641,940,659,571,907,051,593,834,481,
291,646,809,061,603,342,312,522,940,289,844,242,083,141,546,282,564,195,734,
241,588,347,293,429,356,384,273,038,707,333,233,125,408,984,398,565,428,373,
035,803,506,987,728,998,855,542,397,851,689,097,941,287,427,205,561,006,877,
063,438,382,305,063,068,829,151,937,524,373,657,697,450,221,926,079,897,508,
869,198,960,996,208,329,870,359,919,393,371,402,304,124,582,162,573,906,261,
256,668,245,893,039,851,090,128,149,690,630,860,528,516,041,066,420,402,456,
413,047,730,761,126,112,730,035,184,906,514,897,140,607,651,563,046,476,741,
245,155,804,309,532,631,121,057,331,863,885,236,144,751,063,826,305,080,286,
459,977,730,660,057,239,715,643,014,415,575,631,039,803,840,757,199,076,976,
426,473,590,842,650,265,930,294,473,749,032,326,528,211,143,210,520,155,884,
045,167,605,845,360,434,043,048,292,566,332,247,831,454,696,220,278,778,029,
709,220,021,169,023,530,499,457,666,761,071,575,158,950,426,695,518,910,682,
402,418,764,372,525,113,939,403,580,940,876,997,733,928,287,855,770,575,890,
098,154,172,930,780,951,455,664,114,913,066,387,100,202,782,680,893,340,169,
392,468,516,773,654,418,009,756,367,606,520,822,634,774,054,730,545,378,393,
027,898,233,242,658,865,984,933,272,420,915,859,620,152,598,463,093,377,566,
478,147,646,011,558,393,774,833,281,053,527,643,218,530,861,933,920,985,312,
150,574,179,766,933,026,813,070,831,212,922,905,056,153,704,153,418,373,787,
645,857,769,183,844,601,238,885,569,911,619,562,028,871,752,378,638,828,156,
423,287,944,184,282,321,422,845,886,195,236,503,108,527,352,558,589,792,132,
995,726,504,601,861,543,647,037,187,273,255,992,091,718,212,627,825,396,130,
570,017,536,096,083,252,102,244,557,804,136,713,804,471,189,068,072,769,358,
388,017,133,670,360,821,635,680,660,501,754,844,860,434,385,726,465,783,450,
569,599,754,297,213,987,854,424,058,279,522,936,374,954,885,727,011,643,666,
274,393,249,224,159,339,238,682,738,659,517,463,644,293,788,167,793,176,218,
196,011,631,312,355,370,152,956,749,309,709,972,401,288,100,373,713,561,809,
420,850,885,987,816,919,023,805,325,221,840,399,748,464,971,117,856,279,691,
023,871,157,979,256,659,282,594,588,442,680,904,367,881,488,616,326,808,639,
683,563,947,113,796,142,246,059,628,233,857,504,586,210,398,341,621,301,689,
883,127,382,176,166,894,196,320,913,013,518,341,574,028,785,632,390,618,708,
631,189,354,621,570,727,033,818,389,692,262,618,938,034,514,243,220,837,458,
350,472,137,147,999,308,792,866,291,786,735,254,409,575,380,746,169,161,266,
632,097,352,934,876,045,431,281,088,894,970,266,884,266,282,494,941,335,589,
801,298,041,543,177,783,353,606,282,672,237,319,015,304,463,114,910,618,694,
858,503,783,631,981,900,616,497,670,015,503,107,263,930,034,888,879,674,120,
994,570,793,349,670,471,187,422,542,359,019,839,047,173,836,554,883,113,568,
951,567,107,853,805,372,203,613,775,460,133,262,000,846,577,092,593,777,622,
273,920,685,512,686,582,295,870,241,309,009,496,455,970,550,968,241,217,794,
255,020,168,479,848,753,817,462,965,260,428,510,547,757,713,783,869,857,340,
080,301,028,921,458,535,160,378,526,465,931,362,733,976,886,227,707,518,079,
657,470,795,652,517,274,675,808,817,132,215,782,451,539,104,611,688,838,719,
188,171,686,665,036,995,466,186,188,893,146,745,622,635,214,095,517,753,197,
800,959,619,206,317,509,280,690,771,440,304,742,831,340,711,040,705,038,131,
433,159,043,905,617,814,506,269,857,944,989,377,039,153,338,622,939,156,014,
922,702,959,400,124,096,600,693,284,462,300,222,147,404,783,930,306,915,215,
695,858,659,669,804,143,640,643,837,193,963,276,259,729,833,714,833,149,775,
727,021,314,207,436,372,452,688,967,125,765,510,907,876,962,464,394,623,275,
735,542,145,831,895,759,126,721,751,690,858,172,629,491,152,441,267,024,597,
585,625,184,985,090,160,318,673,827,202,178,466,168,561,045,421,788,841,990,
576,805,923,491,848,700,543,925,254,740,684,061,905,075,214,513,805,300,599,
709,622,118,752,831,253,716,177,257,625,199,790,424,017,305,864,346,529,378,
664,326,831,257,689,159,456,170,147,670,808,080,270,726,852,520,128,726,280,
270,988,159,481,061,058,213,875,054,412,578,289,574,975,591,030,633,671,732,
364,513,530,587,765,514,979,593,404,839,408,220,410,356,101,723,214,450,119,
848,584,325,377,038,043,913,120,506,095,740,107,218,659,803,415,454,178,842,
345,281,952,913,290,957,057,382,738,267,295,760,999,922,719,341,100,616,887,
082,807,038,525,828,052,228,628,787,742,930,053,592,166,874,723,117,225,056,
293,080,832,079,476,367,175,755,617,076,732,386,320,184,610,388,129,858,987,
537,301,566,874,642,867,978,297,585,343,981,611,165,636,070,987,428,135,917,
321,085,623,461,971,409,851,888,363,316,227,861,440,628,412,883,312,527,592,
453,511,802,201,408,090,000,463,023,758,624,505,206,275,170,679,244,766,930,
907,860,747,758,357,299,225,257,797,758,491,734,336,765,792,230,147,508,669,
397,543,521,283,785,116,267,394,557,283,377,439,750,925,673,382,043,821,094,
180,874,252,138,288,937,328,980,635,700,457,075,690,865,526,191,045,999,800,
892,782,352,374,321,444,492,039,360,002,697,414,200,174,751,557,832,453,159,
897,635,925,598,584,054,174,922,203,780,825,799,391,437,880,711,384,983,692,
348,438,157,793,829,279,142,373,843,992,088,943,422,545,189,509,816,303,879,
703,481,438,132,333,906,701,055,814,352,785,330,129,662,412,619,767,864,103,
910,111,149,967,567,640,296,384,550,521,078,542,097,118,285,927,912,771,390,
145,252,688,662,252,699,660,128,313,555,662,097,787,954,130,535,573,982,368,
781,876,122,250,943,151,157,824,309,902,098,641,720,270,058,850,101,969,143,
185,963,350,032,251,023,094,460,507,021,959,021,004,084,284,577,843,568,794,
231,301,147,162,731,187,258,007,375,081,112,987,552,515,573,566,736,063,869,
756,962,251,083,754,244,965,454,262,335,771,928,003,845,125,850,789,387,646,
172,334,945,365,272,556,450,039,794,317,538,085,338,023,002,404,749,980,952,
057,264,949,867,332,851,537,988,325,897,197,345,591,428,371,715,899,945,863,
864,565,986,541,654,397,370,094,735,393,830,731,946,638,830,614,107,691,478,
414,602,189,727,773,777,918,692,218,336,525,818,665,575,569,042,343,984,152,
186,540,593,689,539,633,641,817,579,829,049,829,122,110,931,120,278,570,369,
622,862,321,317,989,459,725,698,604,920,544,784,579,870,072,785,847,308,782,
688,493,578,113,102,167,224,119,019,222,458,504,084,781,712,531,834,736,249,
483,758,423,037,051,592,147,955,341,875,913,443,199,497,367,978,933,782,980,
699,151,057,649,452,006,121,524,491,833,495,638,269,904,867,190,460,837,108,
782,016,011,598,001,862,706,854,704,933,037,449,643,636,167,718,702,654,527,
697,822,038,586,939,480,604,086,910,674,235,986,493,063,436,242,927,614,079,
223,621,595,446,421,623,885,663,331,223,585,401,807,062,089,714,725,033,428,
542,686,250,527,301,787,350,192,003,354,661,973,628,032,322,888,806,999,396,
850,480,261,058,722,806,498,142,136,829,749,024,602,322,442,637,973,009,351,
506,898,809,691,028,097,244,751,800,297,356,320,863,877,065,943,647,664,547,
811,526,915,897,299,798,081,194,696,621,896,269,689,391,204,900,711,682,952,
060,842,998,985,827,130,583,994,091,441,362,874,041,732,456,775,977,654,831,
489,042,746,894,813,640,466,656,771,836,187,639,764,649,535,451,248,088,412,
091,011,631,385,786,135,279,002,287,060,902,714,703,830,547,800,808,649,285,
839,201,959,943,690,484,144,042,804,583,891,270,449,868,785,744,944,204,199,
065,662,159,067,577,626,885,296,924,751,845,559,334,880,137,187,280,703,913,
625,380,721,584,538,996,419,759,934,974,908,263,616,829,023,858,056,305,173,
597,205,353,792,626,152,411,030,871,696,553,594,764,572,317,949,643,387,787,
812,178,866,206,873,230,741,795,185,505,558,932,653,599,363,120,470,130,842,
574,866,831,390,815,947,131,840,933,780,137,506,313,479,479,179,809,600,496,
784,087,872,828,479,220,016,704,008,197,206,182,885,253,106,802,088,413,550,
549,107,189,662,343,145,807,745,250,503,383,249,956,034,016,778,828,471,485,
325,982,835,525,308,066,334,724,345,053,415,108,035,757,970,439,154,710,746,
964,282,977,168,296,654,965,408,636,019,634,124,319,396,432,598,866,878,240,
921,232,809,874,994,470,360,808,333,485,775,371,316,723,721,941,357,491,071,
733,869,444,314,347,305,870,396,030,211,529,241,475,548,903,601,379,487,701,
627,956,391,617,216,318,095,166,583,563,551,565,953,946,288,116,461,948,300,
464,653,310,271,140,044,048,041,179,534,622,700,493,504,106,847,721,674,348,
707,506,139,740,115,260,945,962,403,425,772,689,019,025,008,363,893,192,824,
517,367,767,021,639,409,999,277,203,169,174,075,658,320,757,639,736,678,990,
026,635,645,484,748,768,385,608,462,761,955,571,069,382,717,533,517,317,290,
097,574,093,539,679,569,187,179,657,285,388,116,963,887,564,198,141,039,027,
632,013,575,980,056,565,717,191,757,630,834,791,798,651,330,745,970,176,159,
800,625,619,373,143,040,987,124,766,249,617,465,789,192,398,204,801,482,612,
445,446,262,697,524,698,859,151,139,536,649,194,976,785,594,068,829,079,520,
542,742,405,900,379,877,437,764,463,811,683,543,377,918,476,785,996,742,362,
734,139,385,843,414,383,339,059,924,535,515,021,507,785,996,777,309,011,829,
597,796,263,768,081,354,373,197,093,028,177,110,726,976,785,767,244,197,995,
028,083,117,301,087,600,308,442,899,588,266,424,224,707,120,344,645,818,598,
792,513,905,510,812,561,178,898,585,831,928,357,458,416,610,508,443,652,873,
375,818,098,020,752,937,894,962,590,965,861,737,409,914,051,254,327,371,489,
324,771,615,555,610,541,875,335,581,647,077,349,585,322,123,025,681,583,982,
560,592,830,813,251,002,105,895,609,056,966,953,262,221,581,572,447,484,540,
579,234,765,091,703,850,257,129,150,754,538,543,298,649,854,179,708,978,496,
960,892,097,074,875,057,591,131,486,795,902,079,877,422,162,455,588,372,366,
841,853,535,291,107,106,369,048,551,240,386,627,093,093,414,802,835,600,463,
900,961,409,121,723,712,607,921,817,653,950,803,785,875,254,692,608,411,214,
435,672,118,124,443,618,225,715,389,644,032,200,157,457,570,771,936,474,805,
061,608,576,147,811,099,931,417,867,061,158,980,965,606,568,204,256,083,496,
956,706,235,922,248,530,195,527,422,070,420,397,897,619,115,595,605,469,055,
286,286,675,053,858,806,682,448,755,890,148,583,975,378,410,487,608,384,237,
601,358,553,631,672,332,797,817,339,851,607,596,376,742,585,313,563,975,124,
805,866,725,760,421,602,276,901,875,846,357,307,703,240,489,174,043,590,527,
313,041,123,382,222,546,513,172,842,295,518,488,064,563,079,957,713,280,016,
432,794,746,672,215,436,914,508,121,124,672,062,497,471,303,641,843,094,700,
636,239,792,238,842,171,883,332,101,573,395,138,634,280,139,366,978,830,804,
139,665,037,831,993,236,408,980,196,712,037,351,179,406,745,101,202,895,340,
725,404,060,738,780,852,600,236,726,738,803,431,237,639,782,858,009,928,445,
130,910,456,953,059,561,400,248,598,855,863,085,470,881,251,393,692,954,080,
696,503,563,685,291,864,394,848,376,535,407,168,199,765,858,064,843,755,804,
964,735,667,980,662,601,504,800,253,572,766,663,517,750,434,957,638,591,621,
572,206,884,675,153,901,292,227,138,445,191,415,691,503,974,694,743,328,152,
862,027,445,417,387,663,471,423,512,416,352,444,430,407,420,717,463,556,181,
320,443,015,981,779,685,845,185,308,183,423,635,425,748,245,445,155,859,975,
750,644,840,657,978,991,222,989,371,735,589,910,799,922,947,220,803,796,121,
077,511,579,296,067,458,602,356,213,397,947,589,948,656,306,849,070,719,397,
037,627,977,450,047,242,807,618,412,051,945,660,954,080,244,280,390,897,260,
609,185,819,069,836,883,938,376,320,088,304,653,803,610,198,147,405,607,798,
546,359,961,335,765,313,560,795,386,894,204,931,327,385,679,190,059,923,812,
819,523,907,871,076,369,570,506,165,526,176,537,999,077,842,597,003,992,018,
458,792,885,093,251,727,550,489,767,111,402,945,729,937,538,553,838,261,788,
922,506,476,166,021,762,286,195,915,858,150,707,695,246,467,872,371,555,243,
845,866,144,136,356,895,816,780,824,113,404,543,152,560,483,924,820,693,500,
336,189,593,574,183,149,547,879,309,821,959,076,832,070,959,703,958,269,999,
326,265,139,463,796,827,230,736,981,024,889,048,912,873,767,124,532,435,972,
111,130,580,326,568,519,558,153,105,597,721,483,030,852,624,512,460,433,532,
266,499,357,651,098,240,562,144,373,943,850,498,197,110,033,556,335,700,113,
057,144,693,514,968,614,156,506,745,750,567,876,665,601,141,493,257,474,527,
659,312,159,226,715,853,884,288,392,983,420,787,834,482,430,710,096,812,777,
345,975,818,160,026,705,512,130,035,086,276,896,730,216,268,125,043,475,644,
474,855,066,513,976,915,541,482,451,480,352,140,728,488,430,243,381,998,170,
401,857,322,767,238,150,606,902,282,419,911,722,170,278,404,394,055,018,993,
782,849,608,631,878,501,550,706,946,535,788,685,145,075,082,886,676,322,619,
036,519,497,472,222,324,990,123,119,707,425,699,951,391,928,633,843,226,048,
522,277,368,477,645,885,061,353,947,458,764,101,696,694,783,408,820,841,514,
314,435,528,768,046,644,465,842,869,338,074,821,334,107,040,833,734,969,585,
995,817,068,556,147,694,864,933,554,884,123,076,183,284,515,017,116,381,248,
320,162,306,289,140,835,862,530,235,106,740,815,161,226,267,626,667,451,125,
973,288,230,206,525,923,476,156,263,855,516,814,265,340,651,039,747,083,100,
897,749,941,113,343,448,476,833,590,359,221,934,556,481,816,085,405,980,249,
730,921,182,317,087,205,347,038,533,963,463,057,197,665,128,571,330,492,227,
335,394,128,710,461,525,679,949,595,228,223,723,685,485,535,647,321,312,064,
879,123,486,247,286,262,683,862,632,045,518,360,515,191,161,121,885,411,129,
339,459,747,850,537,513,869,209,833,439,992,623,991,523,808,343,203,372,952,
053,642,217,896,458,887,186,217,025,782,909,154,255,665,609,441,501,196,579,
089,425,945,363,881,673,205,496,548,245,665,995,313,752,191,559,462,983,351,
516,368,919,954,694,586,395,312,363,107,907,699,128,154,839,650,079,526,965,
209,047,144,013,462,996,804,805,955,224,661,212,860,801,560,421,851,976,997,
762,811,987,505,550,583,429,631,783,499,025,337,078,799,275,471,839,920,211,
023,952,820,354,453,137,995,193,929,284,781,604,591,480,034,048,868,526,450,
920,348,992,637,069,111,086,881,550,200,275,107,722,098,269,220,293,842,639,
704,034,377,603,368,072,519,019,102,415,572,691,786,508,284,031,840,053,974,
140,180,312,888,880,618,475,709,907,950,543,861,791,528,834,777,183,389,695,
167,304,719,370,214,452,676,471,493,687,037,910,844,965,997,036,784,629,336,
111,079,562,978,500,496,328,607,530,474,566,660,266,980,755,917,659,151,013,
602,543,029,542,756,981,627,014,397,467,342,385,092,147,187,352,578,505,537,
844,711,994,895,079,973,014,742,492,127,622,896,577,256,611,439,016,736,709,
716,247,398,459,433,816,162,108,583,034,003,065,512,123,064,992,756,764,606,
962,847,721,981,170,428,181,750,017,511,242,889,865,380,301,668,437,623,993,
404,264,889,527,761,158,966,559,811,532,558,267,927,416,171,590,503,119,310,
477,823,496,279,708,107,621,464,774,393,036,290,070,984,264,423,641,628,678,
555,546,264,795,440,804,128,021,200,909,471,269,173,676,017,826,260,801,694,
710,066,308,874,085,297,895,587,588,874,374,745,024,435,227,839,817,279,914,
920,285,939,850,409,845,577,980,511,839,386,659,258,099,495,266,239,603,149,
743,123,735,745,217,020,168,007,111,177,506,275,277,100,724,692,597,924,630,
138,494,572,765,068,037,329,223,515,916,758,150,902,481,441,578,541,509,347,
060,896,013,987,084,933,028,158,885,337,045,116,449,704,809,430,494,692,073,
837,419,180,679,450,477,675,044,632,013,513,595,426,663,259,594,956,157,676,
734,680,440,631,405,042,166,753,580,703,378,247,755,087,529,608,142,629,076,
890,952,238,445,642,124,985,022,010,722,844,583,546,147,439,192,512,635,350,
203,971,886,891,663,066,028,825,920,717,097,508,495,867,434,684,820,334,168,
531,075,547,464,680,103,350,026,951,640,455,207,430,861,423,171,006,369,917,
207,495,149,817,226,502,409,575,952,967,441,046,825,605,549,600,032,694,972,
270,216,407,688,942,050,481,080,839,880,158,671,730,385,458,739,357,825,471,
470,029,370,149,373,297,368,021,773,137,122,702,265,103,307,857,370,096,525,
075,398,139,740,412,394,948,882,457,694,258,135,865,378,106,961,114,488,431,
840,909,155,062,907,434,235,208,450,221,440,543,204,111,114,659,532,170,729,
480,701,691,080,966,190,246,890,824,591,065,532,753,003,472,558,286,121,706,
743,282,692,567,911,563,974,485,674,063,709,088,120,021,997,202,692,259,131,
295,841,800,769,426,414,703,395,998,727,019,835,455,799,462,538,759,130,525,
417,231,738,622,457,445,383,466,831,893,046,026,644,731,424,702,543,055,112,
820,199,131,523,347,281,819,095,484,441,966,166,637,355,644,549,916,365,760,
836,007,283,123,473,933,900,795,811,771,805,620,335,076,156,611,554,057,639,
444,118,559,236,927,565,300,145,425,846,375,315,082,836,675,139,192,363,004,
856,721,136,605,033,106,112,302,928,695,220,941,929,115,705,703,404,373,768,
586,134,050,745,255,396,980,135,760,636,455,784,044,072,221,933,356,946,732,
940,797,708,272,006,340,095,309,464,261,941,986,950,623,412,223,151,354,796,
334,639,416,768,276,950,837,781,130,735,603,168,780,799,965,398,254,509,477,
478,679,433,160,958,635,835,500,162,176,989,197,446,930,570,860,622,091,553,
932,088,772,025,301,568,274,735,012,604,354,770,129,252,873,112,982,586,173,
438,796,005,973,907,977,274,869,860,386,164,251,970,752,129,685,596,253,357,
314,205,981,297,409,159,601,422,802,105,537,635,240,208,785,740,057,861,290,
467,676,592,589,671,346,643,662,598,149,025,936,469,084,909,145,777,950,246,
541,430,743,708,789,555,445,576,172,245,050,825,677,114,406,094,733,441,740,
211,505,772,797,394,824,246,501,736,333,961,515,110,926,437,086,532,275,709,
992,123,454,216,545,198,630,128,511,420,507,082,435,534,491,718,460,736,781,
674,412,808,035,291,246,022,541,513,507,089,574,496,783,858,621,475,459,794,
142,159,031,884,469,525,536,435,031,575,923,702,882,699,096,675,883,394,582,
216,600,871,302,053,306,621,438,434,643,934,112,309,899,334,139,656,122,163,
746,922,500,391,529,153,110,380,780,276,400,527,396,024,904,281,654,947,954,
838,982,807,481,909,547,735,133,363,935,396,970,267,177,351,891,502,424,952,
969,121,920,410,772,978,078,161,014,111,169,275,752,166,929,138,389,405,653,
077,712,016,600,546,044,270,388,793,337,113,524,133,279,920,057,022,076,580,
337,305,243,937,630,840,847,071,431,933,241,189,658,241,603,724,613,105,734,
274,953,050,444,535,467,646,569,191,355,653,754,521,224,008,112,001,846,866,
842,754,763,919,249,846,387,458,316,172,394,880,877,366,523,635,796,256,019,
132,114,533,150,557,154,132,372,993,417,438,937,255,843,865,323,136,931,162,
602,097,486,341,630,181,630,052,491,654,930,317,246,347,721,214,835,955,300,
881,398,930,938,993,625,467,205,547,694,143,437,120,344,694,655,183,493,460,
140,476,498,200,568,722,414,328,395,648,698,763,489,899,434,262,367,253,448,
920,550,072,127,242,347,023,811,675,385,601,174,519,237,766,546,829,817,478,
114,822,307,740,992,507,734,259,276,854,515,248,101,601,216,668,400,136,213,
272,681,489,140,332,623,978,339,527,519,679,053,219,713,003,127,526,996,535,
605,342,974,219,279,414,518,693,028,847,967,504,465,134,762,392,212,430,788,
660,619,702,386,541,167,023,953,699,535,940,447,913,289,370,302,504,039,765,
392,719,905,296,380,850,500,158,397,014,721,253,336,273,282,854,801,657,073,
745,212,921,512,017,737,023,088,376,854,293,942,996,646,517,003,444,905,672,
360,093,898,503,998,699,161,567,349,648,798,817,478,643,179,642,106,628,648,
298,317,170,864,781,592,073,811,882,726,636,484,873,650,811,139,288,588,550,
156,172,800,166,681,101,364,511,018,241,798,741,535,044,537,583,342,185,803,
159,818,214,164,615,086,500,047,871,817,674,975,788,485,484,703,241,384,869,
285,847,476,300,769,484,980,782,643,677,448,958,105,515,208,175,731,526,920,
994,987,405,479,352,649,077,384,749,861,348,625,805,774,682,837,549,810,467,
938,111,284,974,251,181,949,230,454,810,498,882,315,448,575,854,710,476,843,
044,391,113,183,008,018,681,722,972,051,803,694,917,135,727,591,706,777,998,
308,286,993,378,399,320,455,834,769,069,080,385,051,440,220,547,037,891,634,
047,428,091,233,457,760,757,888,485,200,751,523,231,786,166,785,137,064,297,
029,339,011,899,507,264,486,506,633,782,589,720,744,400,490,591,630,510,781,
489,111,179,032,938,850,530,068,590,017,089,559,988,987,842,621,570,789,712,
629,215,135,811,385,854,456,079,294,911,832,208,652,280,697,633,658,486,348,
777,641,561,811,177,455,956,189,735,924,927,135,613,612,268,539,637,153,600,
035,960,658,697,159,849,669,311,266,884,835,860,108,576,982,713,683,531,123,
963,344,467,284,161,562,581,733,018,134,248,735,948,165,961,090,843,776,084,
198,409,509,376,777,552,650,573,237,476,799,740,132,473,181,895,912,299,357,
695,691,346,889,449,911,258,493,077,641,164,697,202,977,471,527,325,306,510,
649,098,339,375,173,068,866,746,977,992,695,979,571,777,406,082,997,241,346,
298,724,091,867,200,745,099,238,904,393,236,484,494,550,152,814,726,210,385,
107,012,924,416,409,267,309,621,549,586,792,304,751,866,566,477,590,813,957,
090,576,674,213,030,782,476,361,109,999,041,037,348,454,422,771,928,805,454,
680,752,918,923,433,499,860,064,214,939,425,589,693,511,121,653,022,589,873,
274,507,066,097,857,035,780,202,076,276,832,468,033,490,564,013,084,094,186,
557,213,543,956,634,493,580,328,343,406,718,341,996,966,140,441,795,998,318,
161,554,596,326,509,938,519,636,581,767,702,661,956,784,231,440,673,496,033,
378,313,961,382,980,455,665,787,723,205,038,744,450,725,791,309,005,776,345,
978,901,677,675,230,747,555,722,940,563,812,419,110,010,030,645,890,801,868,
248,771,225,946,097,717,181,960,761,367,227,546,024,009,023,140,346,771,176,
931,312,537,889,068,044,120,361,922,341,230,087,342,395,551,952,185,531,400,
082,436,601,102,677,049,879,105,969,453,000,797,806,562,390,413,553,514,002,
312,451,674,331,224,936,194,185,920,365,125,072,630,589,069,192,328,097,682,
168,417,452,330,381,717,602,872,505,253,460,464,184,469,934,354,886,070,761,
207,235,608,584,392,548,588,752,543,511,357,825,317,577,299,563,337,296,776,
573,001,160,707,100,312,563,849,772,280,887,063,821,415,396,123,152,981,577,
266,502,582,539,161,767,885,948,703,895,369,301,047,946,954,196,101,527,569,
050,567,386,474,546,778,811,931,522,808,467,479,530,536,246,525,985,613,641,
040,892,242,976,431,774,520,219,396,761,460,569,119,781,468,853,728,727,692,
806,890,238,459,777,608,206,388,613,102,908,162,895,283,854,833,432,527,287,
077,328,415,514,752,298,986,310,832,802,700,220,495,137,769,733,624,718,688,
755,317,948,430,411,559,826,703,862,232,694,729,129,049,710,620,236,304,963,
802,257,352,586,093,570,884,678,287,651,557,786,795,357,096,479,709,914,272,
335,552,486,758,155,124,383,642,774,648,464,771,763,358,942,721,967,223,305,
862,988,239,188,805,236,961,692,121,814,348,056,632,362,664,468,155,156,708,
251,019,907,580,129,673,798,628,564,795,767,637,984,397,437,053,144,769,883,
148,571,443,377,916,837,922,614,999,105,307,794,038,123,895,363,719,948,044,
545,034,960,542,872,551,267,507,341,644,736,552,163,566,887,936,551,478,058,
950,774,103,173,318,711,647,143,690,888,283,649,473,962,595,836,869,322,773,
690,988,978,370,788,084,849,574,350,168,930,555,401,846,159,484,130,883,128,
558,845,057,056,449,313,236,882,878,830,078,841,298,402,587,380,647,963,282,
849,758,005,213,885,618,660,344,629,642,468,487,097,325,644,003,473,997,694,
312,996,865,865,799,842,747,324,417,877,279,870,752,099,250,320,664,194,588,
898,517,389,700,924,969,551,172,151,702,348,738,994,105,286,684,719,210,098,
171,085,827,281,876,847,937,284,651,333,862,664,307,402,442,258,111,561,657,
578,896,063,696,886,623,984,278,511,442,712,371,937,427,008,844,768,202,911,
688,342,068,576,284,118,565,427,287,995,156,869,546,286,412,152,732,103,721,
178,773,076,951,846,590,730,970,230,940,449,404,777,090,684,156,648,343,018,
333,288,774,074,244,656,444,254,350,193,493,743,251,682,631,427,436,054,995,
006,955,164,934,153,566,621,032,280,920,338,038,977,387,049,914,616,454,743,
436,388,936,617,699,738,614,655,021,200,317,511,187,085,795,631,307,156,038,
870,775,687,149,219,007,493,662,555,790,805,221,037,277,209,232,734,803,837,
518,235,541,303,378,142,482,579,580,501,060,851,535,814,535,895,598,835,932,
025,822,573,777,115,326,896,628,323,973,047,766,586,544,481,814,777,883,376,
293,308,843,332,650,708,840,759,548,385,010,811,260,644,267,418,016,534,738,
222,738,055,618,169,878,023,432,547,775,911,830,736,858,868,567,932,431,183,
528,466,809,069,042,543,935,547,766,500,872,813,519,784,244,585,456,144,290,
366,178,777,026,346,038,346,321,726,698,030,419,846,452,114,128,227,464,065,
287,682,090,704,826,288,477,068,901,600,309,547,498,206,454,285,236,898,284,
585,974,547,210,980,182,226,089,456,716,547,739,356,359,384,914,943,372,457,
731,866,450,885,619,794,905,049,519,163,553,665,294,818,950,395,245,492,696,
977,295,246,120,475,613,383,491,859,967,233,704,572,608,053,922,856,997,875,
727,693,976,258,468,359,891,177,310,301,816,378,425,502,309,248,756,436,790,
557,470,280,688,872,139,934,225,041,531,068,973,976,845,136,282,121,720,060,
343,942,301,675,056,740,577,555,300,692,025,865,095,970,842,885,469,935,595,
103,205,029,212,390,941,138,973,334,970,650,625,281,577,407,849,673,872,864,
716,442,900,442,270,369,550,248,714,408,178,427,682,194,762,873,386,976,867,
395,961,768,443,886,742,216,023,138,024,881,782,297,397,440,063,443,910,556,
900,495,601,645,475,258,670,509,942,993,818,010,960,161,528,978,575,772,821,
256,083,235,732,705,743,484,930,132,680,438,218,487,978,729,574,460,103,909,
391,566,074,661,286,592,735,954,338,583,274,082,093,641,634,837,077,687,703,
911,934,423,589,724,024,481,491,935,112,443,641,087,289,802,224,543,917,483,
646,532,205,397,831,240,123,301,411,839,734,654,643,614,214,639,375,166,721,
625,011,974,866,060,936,990,218,636,096,943,229,288,047,671,343,479,077,295,
997,190,524,877,863,845,132,152,587,456,854,822,817,931,147,380,734,396,197,
801,491,217,339,863,801,724,178,735,082,751,454,001,864,197,478,419,117,547,
035,220,244,246,642,006,702,896,024,605,393,553,134,893,514,385,195,670,310,
537,501,856,373,394,929,017,971,058,747,674,614,707,673,477,651,957,134,561,
002,838,262,964,698,115,027,806,004,463,480,123,917,956,308,095,785,265,971,
296,328,203,305,244,208,474,629,897,162,998,113,499,722,600,612,135,905,167,
608,129,599,613,586,336,756,159,116,151,351,195,289,325,809,359,242,297,187,
831,087,172,142,989,007,715,959,730,742,330,326,747,520,433,551,945,379,444,
833,984,757,477,152,709,594,622,930,859,442,409,749,742,607,103,838,241,371,
414,583,878,776,206,124,939,363,203,550,328,271,796,015,009,720,437,917,121,
995,790,535,274,126,975,533,966,529,379,183,142,628,681,232,649,929,841,715,
243,283,569,923,342,188,311,296,058,609,847,610,893,010,563,990,398,789,934,
524,153,846,259,317,134,637,950,885,878,148,889,059,374,877,826,597,873,423,
863,675,140,187,565,957,213,597,308,591,022,916,167,221,661,278,610,685,291,
055,902,760,049,025,676,539,553,240,762,474,293,275,758,182,078,823,309,592,
873,267,822,851,905,827,210,588,611,125,412,757,528,252,403,508,508,519,894,
378,534,907,551,185,418,689,637,213,683,484,134,643,837,682,154,070,170,419,
369,880,162,900,439,790,956,190,094,236,554,036,854,133,730,850,742,087,311,
799,210,039,346,047,076,472,426,526,152,586,193,808,735,522,690,536,501,721,
966,405,886,258,113,130,899,737,592,775,817,544,655,254,036,968,806,479,649,
929,638,247,712,066,467,563,584,137,447,645,362,359,896,867,155,918,452,976,
233,614,301,594,844,526,257,646,929,977,314,083,711,559,421,638,442,276,870,
385,727,569,749,976,691,794,164,419,127,150,608,091,586,481,781,096,183,376,
514,921,467,790,074,573,986,823,994,023,404,539,072,984,420,002,246,659,797,
482,862,247,532,779,472,669,529,695,787,621,091,933,444,392,650,466,189,149,
384,892,757,956,190,248,912,267,281,288,945,937,403,563,364,610,615,966,246,
770,680,788,257,155,796,972,658,792,233,912,412,670,603,751,356,814,714,061,
940,706,233,688,502,965,681,624,158,841,238,665,163,282,403,278,388,104,827,
500,214,469,520,244,326,342,895,030,382,698,597,844,030,424,985,677,913,110,
061,758,082,004,747,415,541,728,607,778,400,932,131,722,571,994,953,581,295,
031,968,573,155,852,768,550,018,545,729,636,503,166,330,162,742,521,408,039,
226,906,771,730,215,692,965,898,180,253,291,775,275,968,065,853,975,113,650,
483,614,860,797,921,298,936,941,096,962,687,269,078,636,000,728,431,697,159,
304,415,356,670,423,387,021,208,592,105,201,406,578,914,850,560,336,470,257,
678,428,613,953,162,588,715,084,933,658,922,337,221,357,060,847,162,784,628,
939,462,297,026,089,170,477,350,636,799,983,501,988,607,407,010,596,382,601,
377,572,782,150,090,533,343,044,905,955,659,545,318,024,034,267,371,481,655,
808,033,325,440,122,154,243,027,732,891,899,145,813,116,117,210,666,495,093,
720,932,160,734,787,378,524,250,585,061,028,615,164,212,497,823,147,921,787,
178,523,905,927,493,062,704,743,650,768,942,887,368,829,990,672,898,424,303,
087,629,183,045,241,486,862,233,710,490,105,257,665,049,671,210,773,042,570,
717,639,696,051,610,391,293,253,614,660,329,162,549,491,688,783,287,397,612,
336,558,242,370,577,963,970,993,471,030,711,000,250,468,099,345,311,564,276,
697,297,951,737,455,440,870,292,350,401,111,115,490,596,975,187,293,256,433,
332,292,658,773,096,538,909,348,446,688,569,233,369,251,616,498,769,143,626,
902,054,821,068,970,896,588,531,463,835,462,915,674,040,059,789,288,795,747,
404,956,227,762,037,146,600,372,583,127,414,298,415,056,568,766,591,342,591,
928,808,570,177,924,592,051,249,367,145,214,363,886,572,074,174,377,017,264,
127,121,280,925,204,452,870,976,315,938,979,619,457,693,722,991,425,337,603,
649,704,899,166,346,806,510,301,374,942,889,976,134,550,909,800,530,878,417,
901,846,082,749,120,704,747,649,375,896,881,777,188,310,511,843,174,576,094,
252,130,661,113,908,336,963,398,586,762,717,657,006,119,284,419,351,906,496,
909,056,068,266,743,096,926,725,704,503,811,095,386,135,100,185,108,374,967,
190,739,575,733,685,717,578,876,771,377,927,805,357,639,894,787,446,361,448,
861,294,285,894,071,771,776,818,705,005,649,054,830,438,508,286,920,625,922,
412,174,308,094,776,054,642,801,310,326,813,492,829,528,023,397,967,212,559,
858,862,135,607,155,231,721,386,469,183,894,309,185,596,908,810,929,532,095,
175,353,932,381,978,270,188,054,283,630,308,328,832,348,953,597,258,314,051,
623,461,918,693,127,789,774,509,730,280,979,596,224,866,516,411,346,740,263,
133,887,615,514,956,110,408,236,968,623,995,179,043,085,566,557,906,063,236,
905,146,128,863,374,643,275,963,258,884,642,714,690,956,783,123,937,041,290,
302,287,861,775,217,077,233,229,261,559,347,954,990,670,277,757,990,197,699,
685,609,423,425,006,372,262,430,916,156,307,355,302,251,975,681,516,865,135,
945,129,441,827,887,334,413,693,580,513,756,782,405,372,112,603,377,554,013,
218,928,681,499,478,054,351,041,084,603,325,456,031,204,748,189,442,331,299,
189,522,341,843,903,037,701,572,271,397,320,460,110,750,011,425,523,483,195,
712,069,751,576,500,028,413,713,772,269,338,902,901,684,980,573,455,944,494,
883,293,077,788,889,992,694,028,047,296,677,850,859,707,664,592,866,279,406,
459,841,917,580,728,845,675,641,499,780,658,364,922,232,168,066,619,492,488,
666,932,100,211,268,860,303,308,310,729,504,075,241,366,678,299,821,467,409,
482,599,971,843,476,868,096,687,772,772,374,971,418,450,086,626,842,889,963,
278,245,100,296,117,610,714,432,794,494,453,513,006,235,271,660,246,192,059,
098,412,710,184,948,481,424,927,455,598,110,652,297,333,225,699,020,175,652,
782,176,745,707,201,280,969,481,421,347,703,470,660,596,957,048,577,650,562,
843,012,134,650,516,694,563,091,119,922,312,563,044,304,463,941,462,083,882,
432,698,065,232,414,749,561,894,811,041,071,285,384,966,872,395,144,480,232,
702,609,126,136,758,038,058,068,660,515,248,414,431,958,238,200,352,688,689,
207,392,629,785,779,911,053,857,140,782,272,855,468,069,069,923,774,349,732,
172,182,667,086,176,020,363,346,720,071,840,267,080,623,923,257,979,214,847,
340,237,752,793,923,319,016,673,429,474,422,020,465,014,229,912,578,055,881,
351,063,824,931,892,423,527,848,342,755,026,125,497,026,980,437,712,255,980,
389,644,349,168,698,836,493,650,350,166,017,838,874,211,767,273,662,540,335,
289,343,513,501,992,012,145,853,183,757,346,472,417,740,060,436,173,780,824,
434,822,750,221,256,054,035,906,399,139,098,211,455,679,676,296,433,367,007,
887,668,233,776,534,643,331,887,438,895,145,851,128,247,338,314,092,261,112,
398,740,974,505,010,146,507,870,854,700,579,474,765,575,361,510,514,608,277,
455,072,029,462,864,445,985,487,852,151,320,406,259,708,809,454,657,437,179,
326,718,667,141,273,695,271,607,226,333,614,731,872,480,939,146,846,046,904,
825,458,679,451,115,344,864,809,375,722,173,675,233,988,361,492,540,568,655,
817,218,927,896,618,472,988,366,239,153,163,343,970,302,407,281,909,900,568,
106,950,349,465,389,369,237,609,957,820,999,412,093,688,754,387,788,751,275,
995,542,191,482,878,607,332,395,329,862,245,830,146,870,690,667,560,096,207,
049,880,109,589,225,713,214,655,858,364,022,635,643,062,859,218,257,765,113,
834,774,893,676,128,767,438,614,125,228,125,587,583,746,958,804,627,714,573,
566,821,104,221,777,701,327,764,993,877,604,084,158,599,007,346,916,998,831,
559,611,816,163,181,892,802,326,274,620,514,947,678,804,473,938,731,040,305,
037,125,118,416,555,507,269,597,289,181,136,940,959,749,584,421,214,494,225,
053,375,852,327,864,174,713,718,780,243,838,188,170,752,709,102,992,017,755,
141,377,573,411,774,809,739,812,254,576,546,713,607,147,510,739,449,967,404,
386,501,698,287,482,978,347,936,257,032,219,152,954,365,817,594,546,968,712,
467,347,411,924,719,555,184,415,184,013,037,265,960,349,737,845,110,755,867,
356,160,323,905,435,789,959,844,409,761,977,869,222,777,464,609,844,176,724,
872,908,958,682,693,408,866,745,276,285,800,340,370,147,840,060,102,815,286,
861,623,685,135,330,215,088,440,155,542,066,207,236,775,766,719,885,855,404,
047,497,190,884,888,845,725,241,328,867,004,568,403,336,331,551,967,787,376,
019,647,239,602,781,704,766,659,665,155,966,474,857,541,455,592,353,883,397,
398,714,666,358,895,260,662,836,009,310,855,361,345,546,496,661,555,412,956,
389,496,557,165,592,856,265,257,190,297,430,753,191,012,616,419,427,087,329,
827,574,878,456,467,858,839,944,082,291,719,699,513,405,847,797,000,461,586,
960,354,484,117,296,750,267,104,838,360,678,153,452,156,435,116,931,996,142,
586,900,466,244,678,996,927,176,566,874,288,868,205,439,300,002,165,924,900,
381,968,033,588,630,984,757,800,971,876,878,744,244,981,407,835,538,287,978,
562,386,633,485,983,159,879,293,895,740,532,347,694,765,336,628,442,431,164,
136,569,339,829,125,862,119,147,749,238,050,678,491,432,906,636,504,905,874,
603,449,762,845,177,624,996,762,133,649,925,053,556,252,385,548,563,780,644,
083,696,050,873,903,161,076,990,455,275,953,520,297,549,606,841,389,674,878,
957,637,754,578,375,426,476,903,210,780,040,226,018,500,719,542,153,568,491,
919,811,487,894,405,942,769,355,681,632,283,368,629,214,815,554,716,960,778,
449,538,974,280,626,762,277,014,721,189,685,369,981,652,288,997,690,512,760,
138,718,764,291,993,407,741,872,093,609,849,982,620,132,476,658,996,061,855,
045,782,374,693,567,834,508,729,708,460,832,316,346,341,350,267,080,798,868,
050,630,310,672,557,355,832,433,934,467,675,501,108,741,352,771,843,995,134,
297,074,048,643,076,570,943,131,613,772,560,573,656,085,842,570,729,838,245,
145,544,298,647,379,320,289,617,510,196,320,711,348,329,715,232,850,426,689,
739,573,961,032,932,408,104,345,007,453,463,193,523,329,685,681,482,946,904,
229,805,166,566,192,686,184,584,132,099,691,422,710,336,818,936,591,917,708,
625,558,377,747,463,239,315,311,696,052,331,269,799,663,528,824,695,511,386,
665,775,776,575,721,509,968,328,952,990,722,886,398,322,786,411,136,287,972,
624,724,005,396,794,890,024,876,949,929,828,617,932,527,742,584,049,503,019,
853,312,908,278,118,699,358,532,789,501,812,521,572,867,139,350,084,729,905,
455,155,583,917,974,101,736,714,562,999,268,943,840,016,524,694,404,566,355,
549,477,088,782,182,968,823,408,719,715,796,544,751,124,850,897,060,932,319,
915,635,880,173,505,760,517,482,748,153,017,514,792,503,120,491,602,595,984,
174,921,140,544,474,416,612,288,940,002,792,842,424,182,794,658,160,997,696,
077,496,458,374,020,897,528,520,596,960,456,204,317,363,126,973,622,544,611,
630,666,700,676,459,851,607,274,440,991,601,224,212,388,150,318,317,479,358,
614,295,975,432,907,873,211,322,360,735,904,248,204,377,461,583,118,466,613,
446,257,906,873,864,031,481,431,902,732,140,829,448,462,672,135,773,619,040,
281,518,380,974,544,309,943,750,079,019,917,627,546,916,244,519,489,175,318,
602,397,277,188,608,295,104,680,573,880,015,140,801,542,133,249,475,536,729,
970,984,517,149,217,864,236,842,288,688,067,138,556,069,707,042,584,674,949,
353,242,507,322,347,567,627,486,069,573,769,063,549,645,257,675,739,984,144,
220,500,500,125,496,281,358,923,076,042,567,945,944,437,291,349,077,667,220,
495,673,772,111,931,119,190,642,964,746,556,942,601,398,708,645,530,404,371,
591,694,440,276,183,001,306,995,111,403,979,613,661,685,504,938,240,348,285,
859,829,990,392,326,458,320,694,508,876,167,773,808,726,972,909,796,068,268,
663,713,778,743,279,279,628,037,722,883,890,849,528,366,546,903,933,311,984,
545,748,249,668,296,945,903,994,048,923,463,827,771,311,953,006,660,775,286,
254,170,876,734,898,216,434,340,713,494,819,556,737,164,170,181,667,811,924,
459,787,134,304,454,640,318,119,394,028,940,689,775,994,963,403,444,449,157,
850,884,385,028,518,613,476,438,190,454,904,207,387,403,401,125,456,538,261,
499,967,724,587,804,322,984,682,591,918,485,551,365,493,242,270,049,620,489,
439,741,927,078,760,133,208,987,687,681,691,165,170,750,307,338,892,236,907,
250,640,013,620,566,305,986,167,016,845,244,784,501,619,529,408,780,072,009,
137,057,466,098,575,267,803,423,875,821,652,911,949,920,414,534,159,857,957,
219,852,263,524,526,181,790,504,760,548,925,796,560,646,289,497,451,242,815,
388,326,953,004,686,220,338,360,665,793,838,690,399,472,303,033,968,537,952,
736,550,934,021,175,727,294,632,910,415,835,243,622,760,911,607,228,876,162,
099,332,750,845,962,652,247,738,013,122,499,286,206,032,948,593,366,428,242,
405,807,037,781,397,778,917,901,682,146,094,581,606,215,323,639,181,792,695,
614,221,464,912,078,527,283,759,621,725,585,416,049,223,162,015,355,153,667,
265,695,533,423,024,645,097,565,376,179,498,523,831,459,017,131,891,869,756,
235,013,140,787,605,774,277,851,928,473,364,887,974,891,096,389,627,365,795,
354,851,054,165,680,924,912,078,115,138,407,156,833,428,655,205,772,272,471,
680,337,813,194,755,981,255,684,995,570,086,022,885,827,391,826,335,591,845,
203,860,199,428,861,259,359,505,564,314,114,890,100,159,311,326,653,868,449,
999,997,514,817,587,001,826,530,754,584,038,195,957,309,912,962,804,237,077,
232,779,939,426,432,848,044,752,440,197,391,502,198,633,475,731,276,310,103,
124,411,678,280,000,550,315,638,174,812,181,355,420,401,691,668,154,342,349,
327,338,879,547,819,930,077,936,696,194,836,732,115,904,482,706,624,373,754,
609,588,872,437,343,978,027,030,258,897,622,446,240,657,712,430,158,036,863,
639,384,320,274,642,286,418,189,219,841,875,579,189,644,671,921,603,489,209,
355,576,072,443,160,815,973,593,010,807,389,121,050,459,401,436,113,631,275,
531,238,135,247,427,430,748,568,292,852,933,890,197,638,209,477,301,140,189,
157,631,373,598,793,821,559,682,355,434,957,148,681,848,870,536,018,101,847,
859,083,702,785,162,613,209,099,979,828,504,192,297,849,598,866,535,871,624,
502,181,390,520,449,989,101,525,898,609,928,697,036,620,313,591,462,546,739,
723,136,677,367,291,907,989,827,997,235,946,837,721,087,321,109,671,821,318,
416,792,334,256,364,743,852,584,934,976,567,962,690,150,576,611,377,261,325,
461,556,286,669,005,862,882,401,858,425,733,127,432,810,096,712,250,894,163,
680,198,253,091,094,629,265,773,601,630,252,958,146,200,450,232,134,587,970,
660,982,595,299,884,746,994,587,706,101,401,805,478,362,126,417,334,986,254,
760,828,019,043,939,185,744,870,840,184,070,130,820,950,749,250,961,948,025,
549,050,609,436,098,360,899,937,476,330,225,800,291,044,499,467,492,500,308,
555,530,382,440,511,238,865,495,730,677,633,930,728,688,080,224,538,714,487,
139,628,347,759,906,901,892,866,043,054,483,196,882,451,255,441,704,410,281,
470,449,808,806,293,896,981,939,966,602,451,739,657,663,959,495,669,916,201,
828,725,353,299,284,667,633,286,970,215,179,636,643,741,567,152,662,254,259,
648,402,026,939,432,250,030,591,531,447,353,563,951,414,612,029,656,023,041,
705,392,093,701,820,364,615,325,232,233,615,599,970,419,552,837,166,521,767,
632,120,386,263,663,918,690,564,439,274,662,209,589,923,931,453,489,230,919,
249,600,032,172,270,825,212,685,983,592,386,951,895,109,140,647,722,024,188,
751,716,339,898,833,493,427,439,339,777,011,338,848,429,377,958,778,464,084,
296,682,491,583,377,904,891,420,430,164,399,908,709,344,484,510,401,119,571,
668,373,350,475,433,914,920,580,427,962,235,845,183,332,907,143,807,592,941,
570,188,440,922,593,056,260,753,306,061,598,308,785,660,218,285,984,230,345,
083,257,850,095,887,910,470,229,170,208,347,916,270,120,012,616,361,522,872,
090,195,099,430,647,623,078,738,271,964,704,219,614,952,668,156,799,738,604,
585,682,619,228,630,712,438,668,268,307,637,041,600,943,904,983,419,264,852,
233,126,176,138,551,953,104,579,059,646,412,748,920,966,833,495,703,468,874,
976,958,885,051,993,146,011,410,639,016,794,242,752,923,272,193,439,323,849,
298,023,807,230,088,179,653,753,289,281,080,658,044,695,232,432,088,118,079,
171,684,719,156,862,635,164,181,561,751,195,909,273,391,725,941,957,522,350,
375,110,032,376,755,043,223,029,993,250,338,786,738,684,610,602,035,486,079,
385,938,814,084,563,935,355,917,790,850,214,523,119,074,419,124,273,889,039,
122,464,485,456,000,590,284,386,880,170,723,295,688,449,864,399,313,165,085,
802,599,080,457,382,070,192,012,464,599,253,730,320,246,825,024,552,412,805,
322,367,929,236,952,961,705,453,568,738,964,932,705,260,305,216,591,967,516,
548,085,323,338,186,837,509,999,595,918,974,052,819,347,799,357,126,609,436,
656,672,901,645,968,188,988,265,455,899,591,211,687,818,270,397,461,810,263,
000,318,903,552,839,662,432,598,753,964,414,439,451,567,295,133,603,363,919,
115,738,046,613,246,163,180,938,776,920,618,483,862,168,672,792,274,728,899,
570,138,776,916,741,912,069,651,638,813,296,238,473,751,102,841,088,678,346,
130,991,142,693,259,602,405,406,331,516,221,795,880,965,864,160,049,128,221,
572,498,124,668,341,711,350,123,837,305,524,744,374,896,674,640,040,821,542,
528,303,976,124,791,911,875,963,552,340,419,705,488,556,801,698,765,807,981,
008,343,737,567,641,559,518,661,331,609,721,703,488,781,719,052,934,601,084,
590,744,656,067,073,701,025,931,393,634,715,945,504,867,061,728,886,215,399,
407,852,669,465,860,900,996,458,123,453,773,634,134,843,390,466,051,146,924,
992,019,477,646,034,468,081,903,945,289,911,136,267,653,513,106,958,341,184,
032,738,538,813,406,166,803,872,242,508,959,458,266,913,082,926,527,574,149,
899,050,585,990,579,890,781,869,442,184,581,797,358,672,538,772,358,297,557,
106,386,005,024,846,525,414,762,908,540,684,604,887,277,514,395,041,766,547,
068,978,807,469,121,667,394,784,112,655,748,867,598,297,181,539,164,591,112,
932,842,512,181,828,647,389,299,885,780,208,038,316,310,910,200,392,231,488,
018,024,323,105,162,508,733,403,147,600,613,446,957,768,914,166,755,535,527,
620,948,275,765,211,041,940,318,946,492,090,458,317,811,424,287,798,015,388,
587,120,352,333,146,086,244,845,684,069,922,667,664,017,689,146,531,723,231,
657,872,299,283,974,962,127,129,062,987,187,635,802,962,319,928,931,651,401,
792,467,230,754,909,128,545,358,599,679,017,224,303,401,690,891,000,129,533,
446,683,538,647,936,373,304,137,352,790,754,808,593,708,091,823,724,541,673,
468,793,143,227,375,604,210,572,801,974,897,685,624,485,749,205,502,194,621,
009,389,875,025,536,534,921,847,269,509,280,837,682,807,174,121,423,167,220,
787,659,393,007,208,467,849,981,650,746,986,945,965,571,228,159,318,696,215,
518,756,438,580,610,420,051,684,245,753,570,532,900,700,881,546,032,334,742,
131,976,980,077,201,202,832,586,173,717,143,459,909,839,936,656,969,547,465,
937,164,278,870,442,647,049,517,992,074,920,693,474,130,460,763,542,945,549,
630,716,263,268,515,794,820,297,851,822,337,062,383,854,719,266,854,808,262,
087,806,581,838,001,451,350,710,831,067,639,594,132,627,742,841,026,224,189,
778,681,576,907,621,484,134,955,207,620,141,282,068,633,909,836,119,892,152,
025,990,264,483,106,786,013,799,506,060,233,271,726,422,440,280,293,619,847,
349,739,250,997,851,835,493,141,596,157,274,499,877,835,857,095,446,588,446,
250,478,226,586,986,361,797,874,246,814,725,565,966,707,438,039,316,323,751,
610,580,324,711,291,180,831,511,524,830,734,865,401,103,411,490,234,345,542,
812,178,114,638,765,734,227,043,503,886,352,462,238,285,270,282,574,994,027,
377,659,228,936,758,593,004,535,802,828,073,765,237,871,052,487,382,198,987,
607,622,111,834,632,646,344,161,442,412,975,809,052,803,077,069,214,358,762,
012,060,051,261,648,722,151,674,070,776,770,713,882,568,862,429,387,211,717,
322,670,866,897,086,296,716,860,995,019,461,475,918,224,697,942,682,017,675,
211,752,764,588,136,950,782,078,309,831,552,191,666,497,809,309,727,523,691,
098,340,680,005,154,060,125,634,637,054,254,336,340,026,146,583,000,220,985,
826,395,544,189,456,233,387,770,874,875,546,348,037,998,439,226,214,512,826,
685,736,135,817,550,423,951,688,077,454,181,401,058,429,220,476,282,006,463,
533,187,519,320,565,809,200,519,580,061,907,438,451,333,765,011,641,858,907,
994,690,823,260,143,389,611,691,282,741,216,002,473,444,772,527,919,838,050,
373,852,546,020,653,185,961,126,715,688,716,682,503,717,104,310,658,784,034,
419,822,165,518,308,284,503,731,456,908,310,447,870,841,554,901,122,509,697,
959,821,063,272,678,429,555,663,123,482,054,060,890,093,749,969,748,062,814,
584,690,328,433,148,501,741,124,769,820,907,150,051,530,009,346,671,101,886,
973,282,209,534,285,159,702,074,896,563,683,893,306,005,518,454,018,185,688,
036,909,540,748,749,109,301,765,278,126,108,749,487,265,507,346,210,437,102,
471,290,393,384,451,972,864,083,730,174,277,262,409,124,397,572,376,587,416,
213,124,426,331,051,769,159,199,341,064,492,439,228,297,420,246,245,540,640,
197,607,070,050,920,528,593,062,802,995,797,753,249,898,145,859,309,178,557,
795,344,192,665,394,526,834,069,577,123,908,860,604,134,919,114,592,153,817,
403,790,686,423,974,438,431,418,857,896,213,788,031,714,875,440,483,793,885,
649,157,533,496,408,711,597,182,621,209,720,124,526,014,274,130,475,490,381,
175,685,719,768,969,040,748,241,088,573,412,420,114,478,219,784,093,043,212,
283,298,209,193,310,033,056,063,529,904,027,737,299,104,355,316,306,182,238,
850,717,607,456,481,846,305,937,511,808,511,111,780,837,126,407,255,640,519,
825,747,028,776,688,591,960,460,898,333,555,575,040,857,897,291,510,681,094,
811,124,130,992,643,596,397,588,543,105,432,786,324,164,927,575,414,580,052,
735,556,512,867,453,994,733,380,599,691,427,138,604,105,367,192,007,341,637,
212,307,747,813,923,984,486,713,649,782,797,039,620,395,001,611,548,775,050,
834,396,247,135,108,112,901,359,050,939,756,135,840,475,657,297,739,878,328,
955,291,125,704,996,755,039,504,922,997,503,786,776,286,773,320,306,758,700,
582,134,357,117,530,733,685,854,161,212,966,243,133,643,391,363,370,014,799,
264,161,611,314,961,892,594,357,918,399,272,148,080,216,875,039,750,705,811,
731,615,253,617,811,896,437,658,358,155,541,202,109,081,215,201,103,216,177,
856,098,762,675,123,716,817,074,560,697,071,196,458,715,399,335,679,650,424,
420,594,932,763,147,041,364,314,414,827,030,738,844,298,904,343,596,780,835,
111,390,087,509,104,374,393,496,780,964,795,079,789,492,817,195,068,527,873,
369,287,489,370,737,958,314,915,097,460,763,630,750,705,673,538,234,655,497,
745,574,410,027,901,601,023,928,692,696,080,341,150,677,090,908,545,708,113,
068,608,208,045,004,603,148,036,533,731,893,109,597,653,912,886,790,961,596,
313,748,558,046,151,206,939,033,844,634,540,813,840,267,794,561,956,260,369,
161,776,770,168,464,801,616,431,875,971,454,967,693,272,353,856,334,999,722,
468,997,135,038,505,038,336,956,587,406,633,105,983,459,197,633,198,196,495,
161,928,293,076,055,580,835,568,858,228,843,500,545,716,250,523,225,120,295,
847,082,701,191,914,815,982,910,631,689,470,222,025,779,347,159,394,823,367,
074,676,318,394,695,657,311,683,380,954,812,157,876,959,531,245,819,237,267,
226,511,064,998,586,568,360,762,844,787,088,244,340,760,668,719,692,532,343,
575,773,025,887,157,806,592,934,860,009,196,566,974,912,299,082,982,965,518,
059,439,987,620,230,599,585,628,476,168,404,486,413,817,073,086,288,363,182,
278,760,470,455,999,253,557,040,737,566,305,942,668,223,858,573,874,663,626,
387,523,799,983,333,636,686,115,645,860,505,699,965,051,411,736,179,955,969,
170,064,596,990,048,264,420,255,689,790,673,724,751,016,966,769,998,501,822,
806,249,925,335,261,936,548,724,610,469,275,198,853,127,153,330,668,139,845,
628,988,270,393,758,152,565,485,873,865,451,874,545,001,791,304,143,738,002,
653,235,907,280,224,263,507,303,394,652,650,746,531,941,006,417,107,022,391,
754,496,942,793,480,632,902,993,034,457,844,762,831,320,486,428,285,236,884,
312,926,669,260,549,985,736,943,336,021,912,251,238,509,256,023,523,088,454,
090,714,825,762,357,432,263,658,369,333,053,443,712,789,354,953,273,904,048,
800,007,378,424,080,792,518,326,141,190,634,340,554,674,408,187,558,270,997,
911,542,384,251,705,150,426,456,367,063,210,664,644,809,115,681,805,573,787,
191,889,636,051,295,098,506,965,081,782,902,016,717,211,267,379,654,158,438,
233,448,622,635,366,095,405,556,659,100,941,668,216,873,339,073,800,919,120,
042,430,444,920,821,985,725,980,092,995,671,337,781,989,803,287,447,277,965,
340,560,062,966,432,076,411,231,280,294,797,603,164,520,516,856,548,765,354,
267,315,532,216,460,381,772,362,223,585,967,413,144,497,167,521,455,699,997,
702,463,872,017,121,588,811,295,567,299,980,650,229,613,209,746,765,621,272,
359,421,144,682,034,436,263,193,385,775,880,334,539,822,417,141,566,428,454,
515,750,236,723,664,469,973,230,504,929,292,365,625,267,894,984,709,569,741,
904,428,233,303,232,495,620,277,769,344,571,734,897,027,781,917,109,131,190,
920,514,862,671,684,968,822,835,209,467,386,030,044,049,807,833,631,298,850,
075,990,104,938,388,337,858,830,150,495,433,878,254,587,526,529,839,209,789,
090,019,762,806,570,684,366,535,169,520,952,952,945,104,082,457,678,780,763,
000,843,222,973,897,355,964,814,617,982,177,961,873,835,419,407,919,940,858,
212,373,440,466,286,080,173,059,823,946,679,119,893,074,769,547,638,923,016,
124,685,527,012,963,373,362,787,191,849,865,896,448,672,838,196,698,122,572,
932,280,613,268,622,401,289,372,881,025,704,172,168,935,990,681,807,595,575,
903,486,355,433,117,617,850,732,236,918,736,109,809,652,203,724,801,899,634,
734,371,446,984,928,206,128,949,820,599,256,908,302,883,475,776,134,116,832,
313,270,666,722,744,614,284,574,624,832,224,415,428,927,043,381,817,961,501,
940,774,401,346,917,890,737,304,848,704,778,055,986,251,661,585,483,396,380,
526,668,579,492,223,841,314,116,024,137,254,648,094,115,694,587,753,701,483,
889,129,157,278,704,727,643,138,673,692,790,227,190,809,404,356,033,581,716,
394,117,367,781,154,595,665,884,824,707,597,408,536,797,727,324,226,270,494,
850,690,517,858,398,214,013,125,459,738,922,063,176,343,839,238,396,710,597,
135,183,946,891,427,496,100,315,100,893,538,783,858,532,775,200,998,260,612,
277,696,913,117,464,885,153,090,098,451,306,784,374,061,085,318,799,857,550,
789,297,675,977,374,153,603,634,966,407,030,029,821,201,382,554,668,038,404,
979,366,051,071,763,736,279,670,655,970,487,903,485,529,190,819,599,523,586,
799,030,665,247,121,323,412,019,049,396,366,911,572,666,597,543,361,861,791,
116,239,186,937,903,271,938,669,550,447,405,023,206,382,039,026,721,440,372,
351,922,905,484,131,265,858,395,338,030,194,217,163,828,118,777,127,376,181,
930,000,883,582,507,438,652,247,670,620,997,057,931,033,792,500,118,673,612,
481,611,123,165,351,689,582,966,249,059,760,814,044,383,132,814,308,836,047,
475,908,961,733,524,761,085,440,786,501,222,615,969,677,511,424,620,474,770,
824,489,341,217,405,864,063,946,705,988,967,826,344,111,122,955,347,969,385,
712,385,418,189,154,370,357,597,930,223,228,859,445,789,965,939,991,853,835,
604,260,327,333,164,867,132,285,695,060,684,384,575,990,115,641,224,180,397,
246,146,902,528,616,802,452,187,758,932,288,737,908,657,900,574,849,336,172,
903,026,756,210,356,039,112,014,396,716,230,652,877,451,715,642,124,319,046,
257,697,089,797,512,846,850,939,126,493,001,883,423,620,062,653,791,480,535,
834,760,317,296,271,362,952,822,063,248,774,356,220,103,493,843,863,414,259,
784,011,953,907,827,641,387,484,798,464,777,760,702,567,222,348,823,322,739,
669,595,084,431,944,312,629,626,027,615,783,401,520,833,243,687,536,353,106,
731,101,556,207,112,801,570,431,223,321,219,427,355,457,121,524,169,093,569,
165,302,817,681,573,095,384,320,324,720,684,766,996,197,184,070,334,689,560,
960,444,026,164,574,676,751,728,990,871,265,424,481,117,185,523,476,258,310,
607,538,081,143,139,809,847,749,786,396,481,758,068,379,467,322,218,904,731,
295,878,663,547,681,495,116,974,311,725,842,403,424,038,476,423,730,963,277,
544,119,387,604,826,637,309,136,144,478,796,921,497,482,771,378,750,501,503,
600,639,580,008,327,001,956,792,669,804,158,050,724,042,744,369,072,353,765,
319,096,352,931,771,307,894,099,818,107,082,703,495,459,655,122,738,714,201,
738,186,095,914,475,397,585,409,963,658,404,039,148,610,081,132,881,672,601,
186,807,748,851,317,661,667,583,210,703,903,153,959,692,010,466,146,967,320,
200,499,454,347,707,425,074,247,030,310,619,140,213,475,862,664,005,296,325,
857,482,912,544,058,225,246,261,912,746,181,711,094,862,052,446,955,635,917,
753,077,825,178,047,193,471,956,773,757,578,643,734,286,178,727,070,605,837,
050,916,404,040,124,636,381,106,662,162,455,562,311,027,237,967,986,705,429,
416,137,111,716,338,616,771,633,506,188,031,302,711,582,962,756,984,712,907,
979,817,990,077,039,014,475,380,658,618,755,398,774,822,097,571,123,987,043,
821,845,974,585,724,954,930,262,228,980,808,046,056,661,523,981,896,216,413,
850,024,556,867,255,410,195,943,164,812,009,604,175,952,772,236,301,329,094,
788,748,654,708,357,391,269,777,516,778,504,967,578,769,357,873,378,280,190,
093,565,645,033,364,903,078,728,020,422,881,443,341,322,904,632,711,336,072,
831,582,743,179,297,141,062,586,413,342,790,286,448,130,292,686,298,817,887,
988,057,162,054,076,823,982,362,796,868,050,801,877,015,369,805,877,085,422,
023,639,035,559,709,827,869,065,651,695,303,694,714,195,069,113,576,562,786,
947,139,712,946,119,124,676,744,499,700,077,018,263,710,168,488,484,546,392,
881,452,964,380,626,027,984,829,168,699,213,851,346,378,461,572,589,188,389,
658,708,765,089,934,270,084,269,716,489,051,488,256,272,411,573,346,287,849,
662,402,982,539,242,442,097,475,740,023,338,099,900,364,083,405,420,499,086,
723,493,306,052,646,426,359,138,900,033,635,271,855,721,788,267,041,264,202,
535,635,558,503,969,693,868,682,199,507,205,203,342,111,963,612,909,959,105,
406,828,982,462,601,702,487,354,310,263,976,806,000,634,426,843,048,201,992,
014,594,812,172,167,177,418,486,198,992,767,155,357,545,615,448,423,774,742,
875,063,556,295,186,325,479,153,390,746,794,246,338,900,620,226,132,358,667,
289,378,782,510,919,257,923,414,421,570,288,903,565,850,843,890,274,898,213,
296,558,061,289,756,540,646,353,790,812,049,429,646,238,739,941,668,786,708,
214,694,289,963,434,036,143,180,200,679,863,311,417,872,420,790,172,587,994,
996,214,462,440,926,395,485,576,059,941,100,459,700,197,201,627,017,845,353,
150,923,282,185,748,722,090,348,567,683,329,860,629,337,551,092,376,249,477,
380,716,490,742,457,515,473,152,729,878,950,883,757,237,421,696,697,549,174,
783,349,297,269,126,998,630,895,334,614,808,643,862,634,617,386,081,989,917,
442,236,328,367,110,665,670,308,329,479,040,229,035,392,038,804,477,745,523,
814,609,915,164,950,732,533,515,056,765,537,461,827,981,741,582,034,928,017,
335,900,197,188,718,099,602,220,158,756,697,625,785,691,379,834,331,066,393,
129,592,242,655,819,888,150,298,082,309,248,692,880,151,594,238,599,204,177,
189,433,463,060,327,066,842,725,457,947,055,268,556,186,715,731,493,979,853,
906,762,937,673,571,673,793,790,220,052,084,523,589,646,937,990,938,814,318,
968,167,955,849,380,301,260,381,941,550,815,229,750,038,563,502,767,404,004,
828,786,658,257,985,142,225,728,143,079,480,027,551,667,308,475,884,781,883,
040,396,466,223,835,595,241,346,435,606,096,532,507,502,842,267,631,531,077,
802,089,502,757,634,746,997,127,762,324,736,276,721,394,194,473,268,811,967,
173,658,626,358,493,263,750,551,586,626,488,589,666,903,169,411,795,203,269,
958,415,018,641,322,244,251,165,404,119,228,269,890,203,804,882,492,639,098,
107,942,279,868,231,738,531,886,506,974,139,770,435,504,774,601,890,067,598,
116,324,147,527,598,782,908,495,743,764,010,477,387,896,727,625,489,022,372,
897,833,724,749,398,078,445,283,972,562,521,461,732,957,789,815,178,771,285,
734,926,546,776,874,697,199,148,353,577,179,862,033,547,657,336,795,289,803,
930,063,245,349,467,401,397,754,297,058,095,538,769,954,863,846,171,584,407,
671,286,130,988,134,419,747,602,412,136,348,601,560,741,062,098,092,088,938,
155,182,663,684,988,049,443,566,101,318,794,129,376,070,379,676,886,197,595,
440,460,299,883,819,104,275,187,718,878,805,789,780,233,488,905,060,450,659,
290,389,806,898,426,870,515,479,973,256,874,931,525,116,475,108,112,437,653,
890,165,250,244,945,624,520,340,700,927,203,457,001,129,213,892,935,459,220,
435,875,053,394,292,109,007,132,372,204,286,839,047,024,405,108,855,813,802,
458,217,162,043,819,817,533,714,206,049,257,561,475,775,200,540,938,511,150,
990,472,322,500,682,088,787,207,830,610,918,179,956,639,341,219,656,892,864,
666,888,239,057,652,042,172,539,311,859,056,194,861,570,640,587,617,479,878,
913,321,973,359,511,823,137,761,625,805,700,645,858,688,980,460,446,801,861,
112,778,377,254,014,724,512,006,792,065,083,140,071,942,894,724,377,127,145,
307,228,946,350,467,460,108,541,298,311,249,687,422,150,378,582,403,406,081,
707,259,362,184,153,086,444,029,407,924,826,621,610,158,668,607,617,255,642,
436,576,225,259,232,927,716,112,051,151,963,762,760,712,569,257,676,519,501,
200,971,210,561,627,876,368,577,355,514,952,110,589,254,904,212,014,693,847,
044,603,262,148,487,607,291,042,704,980,236,348,026,002,075,571,416,615,610,
002,012,200,380,641,062,784,690,935,585,491,384,011,290,386,346,716,647,227,
800,848,323,032,848,952,682,987,406,601,131,677,998,566,629,063,269,588,005,
160,396,332,025,250,572,037,337,720,073,921,465,604,717,699,446,147,868,079,
214,660,849,236,170,975,083,717,844,665,760,899,152,638,229,456,641,647,699,
012,143,586,078,912,977,799,397,349,097,183,379,204,813,816,214,096,305,556,
813,446,328,178,406,870,987,864,991,621,298,279,632,854,926,923,689,779,334,
456,428,599,018,116,077,305,012,058,250,051,728,715,108,093,194,857,676,449,
284,781,231,866,681,351,399,507,597,418,856,596,848,096,801,630,820,146,132,
469,084,459,740,935,702,546,398,049,045,028,726,823,168,879,343,150,538,236,
637,917,559,962,486,179,894,068,774,609,391,653,568,496,344,097,060,744,452,
719,617,699,035,571,312,079,997,387,541,701,289,668,210,974,800,338,892,860,
467,166,125,335,519,501,103,362,964,409,737,560,854,754,129,297,347,418,214,
964,718,039,135,832,701,239,731,581,861,919,710,317,281,341,394,592,206,347,
945,958,459,866,389,809,317,940,717,386,640,660,534,799,886,357,931,337,951,
336,660,725,626,276,538,730,615,376,028,093,323,269,483,822,276,718,721,867,
068,371,755,960,766,892,704,518,483,896,961,076,428,808,266,383,226,384,889,
643,240,864,514,429,380,892,102,896,641,747,537,425,199,125,490,615,792,664,
132,118,477,389,255,787,546,161,867,101,406,409,810,604,900,055,864,218,727,
365,781,440,410,179,158,948,334,487,737,969,300,330,589,832,626,500,865,364,
865,198,936,257,205,392,959,800,479,797,106,545,257,893,556,002,060,949,690,
411,136,558,139,030,652,835,519,526,429,876,838,775,354,496,767,391,167,284,
709,765,860,002,991,960,002,116,069,640,545,701,137,883,332,144,975,459,209,
314,612,337,166,666,034,834,913,704,022,010,650,663,636,214,251,416,051,749,
485,291,894,616,799,654,770,907,935,790,470,741,979,888,053,030,427,422,040,
858,133,853,370,865,532,878,321,570,514,558,823,285,068,886,320,284,532,401,
878,594,743,358,642,675,203,648,003,799,932,650,175,852,984,369,360,530,315,
353,660,237,486,944,065,561,212,900,634,662,989,532,980,537,043,314,163,281,
250,026,766,336,044,746,474,187,771,202,499,536,616,950,946,953,944,726,836,
867,693,649,303,665,777,477,733,514,687,865,054,411,211,823,271,866,402,203,
677,711,666,488,897,856,460,753,308,210,087,946,265,020,504,221,323,771,109,
815,882,537,203,928,143,638,808,655,594,826,196,124,676,155,965,720,562,375,
052,808,414,192,979,600,313,178,353,130,186,436,423,774,397,488,468,314,898,
496,448,225,268,656,760,439,826,039,491,565,356,335,672,235,140,893,962,485,
062,030,162,709,790,550,541,398,192,308,695,296,704,658,348,602,007,283,605,
676,675,422,049,457,953,388,751,152,705,016,303,634,206,008,326,911,612,278,
938,295,911,338,452,365,547,485,087,206,808,100,691,020,032,111,440,069,891,
929,722,281,851,459,111,843,048,572,369,428,986,186,539,766,729,101,046,191,
027,720,532,425,714,821,768,967,005,478,321,685,027,997,109,533,434,338,680,
651,188,142,611,924,557,614,893,797,321,298,417,052,411,163,015,698,719,894,
808,665,328,228,901,995,441,246,160,821,992,822,992,539,881,476,229,325,953,
690,270,659,482,131,363,365,125,706,273,736,944,514,048,861,802,760,215,677,
698,620,930,852,615,000,769,543,855,411,111,192,797,987,033,460,376,763,200,
017,446,032,327,916,375,426,879,701,301,739,604,900,196,868,306,857,881,388,
816,583,535,208,274,231,018,797,594,855,188,449,012,241,910,524,255,884,363,
863,135,078,132,294,999,612,592,598,865,029,538,965,848,761,993,711,914,726,
598,073,070,120,032,855,055,552,953,521,980,169,864,042,091,060,015,937,897,
845,895,981,560,843,921,763,936,535,523,381,265,777,686,277,097,381,251,310,
064,873,323,830,151,574,647,158,594,502,802,645,881,356,810,794,136,657,450,
247,243,427,621,707,288,265,635,261,613,832,364,208,388,651,825,494,556,414,
137,388,336,456,591,655,825,200,007,267,503,347,917,093,009,384,591,614,401,
873,097,449,222,374,024,677,871,614,294,182,488,940,124,978,083,756,976,085,
172,072,861,013,005,180,786,661,354,856,909,817,963,273,603,413,132,610,770,
595,339,055,420,136,472,132,945,904,936,501,821,246,100,182,119,643,321,449,
109,823,285,755,815,315,757,993,935,560,168,013,822,845,220,396,519,390,663,
351,118,774,403,216,477,091,231,888,508,303,495,464,477,092,200,261,678,205,
979,568,157,678,189,907,502,511,736,600,692,512,485,105,169,729,416,630,899,
838,244,126,207,967,167,379,685,595,721,621,544,255,748,341,978,241,166,619,
902,301,760,552,582,114,916,722,732,884,901,894,097,471,431,944,680,770,729,
908,246,135,733,101,858,524,164,353,043,899,530,035,841,640,079,833,247,199,
222,164,819,108,800,010,267,418,191,328,083,879,081,203,959,893,431,803,941,
718,677,708,273,285,648,623,479,011,402,854,364,173,250,752,099,660,998,339,
276,657,778,881,355,598,559,806,800,392,999,794,864,860,327,780,961,293,490,
935,361,187,073,255,823,280,599,019,197,156,855,433,990,131,143,934,017,363,
704,549,799,365,517,538,313,641,912,832,650,893,789,424,612,267,756,897,606,
206,468,451,750,277,089,172,239,839,785,283,048,702,846,846,567,098,346,103,
257,435,245,243,711,762,498,565,865,728,652,208,714,113,424,802,639,157,294,
258,436,847,697,388,454,546,913,733,213,388,326,677,835,437,483,573,165,654,
240,704,562,062,304,420,065,130,022,387,779,574,306,653,879,686,711,065,732,
919,346,849,552,965,258,325,171,402,158,516,596,798,065,916,972,163,715,355,
046,519,783,626,192,523,464,174,500,411,796,541,622,830,096,395,114,155,325,
817,089,554,713,945,420,016,325,214,911,602,509,258,385,048,548,818,498,177,
198,838,204,961,189,276,846,854,797,605,554,869,161,789,435,379,171,606,976,
539,552,118,002,276,565,816,162,251,652,796,870,471,043,756,424,104,171,690,
027,044,915,851,394,187,581,654,108,646,348,330,139,069,284,247,379,378,046,
850,457,932,776,282,671,443,609,032,798,214,414,665,252,837,493,887,446,392,
760,047,017,208,512,163,668,984,423,911,884,834,374,488,585,441,769,442,458,
686,761,801,138,296,417,640,342,151,004,003,623,647,428,514,816,474,577,351,
454,562,776,081,539,668,746,708,074,012,103,368,932,690,096,876,904,937,846,
452,946,835,860,612,016,037,815,464,245,789,932,370,759,608,203,574,913,125,
809,841,772,601,370,791,141,226,793,051,221,278,307,181,872,543,824,997,864,
721,312,074,640,302,600,347,091,795,827,848,766,572,223,122,204,515,681,250,
485,796,527,195,907,876,664,837,479,143,890,161,928,645,263,717,571,071,353,
741,942,273,168,921,423,719,314,858,585,027,638,644,275,948,021,187,462,488,
307,397,025,298,764,942,479,665,425,667,958,039,466,853,852,444,497,575,417,
112,515,225,262,201,548,784,293,113,912,397,437,936,607,606,534,363,679,164,
622,749,972,857,970,311,459,267,188,324,634,164,962,582,047,593,427,826,503,
585,566,071,715,818,302,115,404,524,202,432,321,311,180,244,016,744,834,407,
469,136,769,423,646,755,143,293,083,164,548,186,562,337,774,488,338,144,803,
104,384,691,076,221,880,592,595,578,428,812,093,582,518,636,351,691,580,746,
335,632,264,103,043,304,217,541,354,345,941,671,961,259,222,568,506,188,732,
785,247,849,926,323,147,859,791,477,819,627,934,235,519,609,805,935,265,492,
644,040,268,467,662,114,010,624,259,235,253,943,289,765,123,493,100,398,912,
746,440,969,115,544,907,471,104,364,413,825,417,139,017,022,993,008,566,092,
450,367,782,863,239,554,122,663,155,123,254,307,834,080,005,379,391,710,599,
857,148,288,109,244,094,314,767,895,803,881,451,480,838,826,800,242,450,602,
528,177,725,723,535,091,041,439,793,997,846,995,896,749,131,994,064,261,889,
794,100,559,930,639,129,933,774,125,971,912,585,571,031,285,855,104,788,766,
762,902,342,585,989,998,639,008,340,927,459,468,440,343,767,852,862,654,816,
176,708,914,637,723,471,437,103,002,564,236,659,522,235,166,975,606,552,837,
523,955,020,224,585,899,097,491,999,005,248,082,232,538,503,644,054,203,628,
020,821,794,824,785,282,958,270,259,126,103,670,417,204,337,921,197,907,680,
318,978,191,845,515,704,036,484,338,298,717,485,011,134,543,828,822,247,023,
780,417,146,982,087,017,096,315,562,598,246,767,841,090,875,611,612,710,463,
325,799,416,654,663,121,406,295,522,836,244,038,242,036,346,178,599,580,749,
045,240,582,270,988,150,652,934,040,733,741,818,702,420,869,140,861,946,914,
099,055,018,015,502,082,009,066,675,820,046,578,875,891,159,655,295,618,072,
516,349,759,919,943,821,573,528,623,037,830,228,313,304,883,192,169,952,771,
448,745,717,045,909,252,166,356,985,505,518,725,179,949,650,996,127,432,123,
471,332,668,963,713,353,042,565,320,620,804,082,676,587,109,708,697,038,071,
032,473,316,937,454,821,840,382,752,290,363,242,070,186,946,278,936,006,052,
521,472,436,015,661,123,699,451,112,649,500,080,392,411,099,687,258,141,927,
277,515,184,105,895,371,635,174,302,934,990,982,467,510,392,966,196,451,855,
300,307,695,296,298,760,342,178,419,195,533,015,263,489,065,864,001,144,708,
546,709,116,242,066,085,596,102,964,497,005,163,209,574,567,177,215,618,669,
358,497,767,547,375,197,841,196,973,823,543,781,426,272,410,604,542,335,747,
851,669,772,761,813,195,892,113,708,003,004,438,193,504,186,241,077,115,967,
860,628,881,130,064,760,917,461,615,079,570,305,869,461,223,981,263,899,435,
572,286,241,001,117,745,860,577,159,245,813,979,957,303,233,136,341,952,809,
682,654,340,551,824,240,900,082,525,644,495,177,193,223,779,554,243,477,137,
236,358,341,742,719,950,567,716,703,274,724,685,990,587,739,607,774,694,026,
470,169,285,131,756,248,509,329,173,022,140,505,263,544,422,740,542,402,607,
737,863,359,341,442,433,906,428,695,355,992,854,061,337,039,234,905,369,336,
062,125,891,706,037,996,765,346,474,571,502,031,596,046,300,613,931,389,879,
096,375,970,249,119,462,003,554,760,868,065,188,115,060,550,735,210,068,215,
309,396,305,914,580,031,928,876,202,319,470,290,314,993,996,480,999,166,349,
652,256,850,913,525,401,858,914,215,200,417,275,710,378,069,006,546,114,978,
471,719,556,643,025,335,553,205,574,496,798,388,550,377,657,171,056,817,332,
233,660,832,356,482,087,349,644,658,205,949,370,782,661,715,912,276,413,949,
906,898,194,464,610,071,146,578,914,639,951,246,805,892,622,047,080,666,443,
803,515,271,598,006,946,106,688,134,260,617,475,128,636,983,486,419,189,193,
160,572,771,847,550,716,416,716,155,894,523,397,756,002,029,818,682,441,219,
202,695,349,276,666,271,064,642,363,842,892,929,173,998,409,955,735,628,422,
894,011,487,187,455,427,366,472,031,539,243,435,896,321,216,338,173,448,528,
763,090,995,629,189,274,842,729,610,874,870,323,753,035,258,953,541,303,756,
964,287,946,439,464,294,348,456,802,486,270,353,273,460,964,260,225,559,274,
152,741,895,910,160,747,134,886,784,504,758,103,341,737,668,785,589,043,999,
480,992,865,516,203,062,203,058,811,530,511,770,469,618,638,866,225,907,140,
859,275,183,395,244,152,965,729,430,305,293,390,071,307,725,207,730,721,412,
156,013,223,617,464,096,953,582,982,923,815,998,886,062,797,530,720,805,119,
720,820,143,907,447,130,340,930,326,183,322,998,741,796,907,670,438,959,400,
883,384,129,267,520,949,417,930,628,516,149,250,612,489,406,316,113,508,759,
503,667,153,363,911,377,451,983,424,890,876,467,228,327,910,855,377,594,619,
192,237,789,985,515,572,192,960,255,572,340,283,511,622,998,797,926,347,489,
983,162,554,010,299,344,611,422,528,912,997,129,375,085,639,487,033,921,662,
664,461,799,851,968,003,661,502,750,131,558,766,877,775,091,780,544,867,971,
688,414,846,857,859,018,767,642,349,337,682,517,970,299,776,445,021,675,466,
370,249,652,210,433,856,856,908,653,807,164,022,862,255,831,428,762,125,951,
885,037,391,911,759,724,271,437,283,592,879,532,294,913,661,382,363,982,745,
090,960,976,896,112,023,396,342,202,809,777,066,005,406,862,316,273,476,419,
283,637,052,965,750,506,754,075,541,737,966,521,560,222,663,859,360,414,145,
404,065,600,365,167,233,427,685,429,281,791,241,877,779,617,250,267,432,034,
955,116,834,844,332,842,083,778,152,050,533,698,057,876,641,357,109,075,874,
717,212,028,678,312,142,462,061,765,391,807,841,646,139,510,128,451,001,907,
503,557,835,643,569,854,099,081,342,935,946,389,311,697,389,068,711,851,131,
704,861,191,470,407,635,942,229,564,847,903,747,832,742,476,502,697,087,568,
522,877,474,035,473,604,280,893,661,389,473,726,887,930,954,566,576,640,175,
425,022,554,825,856,667,655,151,487,132,070,891,157,475,098,694,099,356,463,
176,873,309,777,464,423,869,723,388,774,486,376,118,707,881,910,203,422,502,
883,522,702,637,573,288,157,266,131,988,245,618,546,008,019,655,783,995,597,
985,033,245,672,798,855,047,310,845,884,354,321,916,871,292,428,808,063,222,
172,528,052,334,595,994,693,516,332,037,743,063,212,481,054,762,805,162,212,
556,179,154,505,197,655,370,761,638,548,003,098,378,074,614,206,926,864,644,
503,479,514,297,704,635,962,776,323,984,771,096,272,677,161,817,194,721,753,
781,338,515,691,170,992,044,625,938,259,107,574,179,961,708,112,244,322,331,
367,407,798,950,084,094,341,576,290,404,772,006,033,352,532,434,072,961,436,
124,329,551,758,719,239,039,207,625,805,773,174,595,750,852,077,780,965,093,
884,799,188,227,462,007,416,957,323,061,725,873,424,606,201,125,645,632,577,
907,605,664,737,946,519,978,611,486,560,097,990,793,246,841,520,978,830,717,
692,209,491,619,977,003,860,586,996,078,526,779,471,843,375,974,093,759,350,
488,023,748,510,002,753,414,222,337,110,235,766,937,619,428,432,358,371,315,
106,080,518,510,282,157,177,386,316,494,854,051,406,398,311,303,703,138,513,
671,177,776,565,827,054,436,342,492,217,717,959,565,436,088,256,444,179,757,
004,356,003,807,321,905,741,093,044,634,517,156,905,847,824,666,241,095,020,
891,818,570,612,672,357,154,304,528,719,817,260,758,039,886,695,905,690,452,
418,494,353,409,350,323,317,663,113,350,192,037,753,363,179,628,275,946,540,
248,499,667,414,887,036,177,538,977,840,361,425,289,969,869,672,735,736,536,
994,973,587,948,184,111,956,199,635,132,671,476,659,601,988,266,713,820,493,
711,024,087,131,896,017,428,930,419,516,813,461,842,992,495,297,841,233,078,
166,717,437,518,155,978,440,917,735,856,752,102,132,928,276,788,035,766,849,
159,833,032,517,161,043,232,958,613,309,125,234,413,424,479,753,322,443,121,
057,670,169,472,035,151,732,299,952,552,013,201,013,267,520,587,577,117,888,
172,702,065,480,288,503,991,440,737,756,007,218,212,941,824,828,241,786,197,
352,153,771,211,427,459,149,461,234,121,200,209,505,487,506,369,034,518,242,
541,320,106,496,252,908,685,892,889,222,622,791,391,651,755,145,922,421,554,
009,357,786,748,769,370,432,972,660,273,872,753,508,328,648,742,851,332,421,
182,358,402,582,155,554,968,302,331,245,284,578,038,394,672,684,236,725,694,
977,626,492,760,189,576,183,544,824,086,220,000,308,316,593,764,837,576,920,
469,123,801,060,705,543,730,769,718,449,181,389,528,059,720,803,844,191,684,
872,074,306,502,573,643,866,792,864,788,443,994,161,602,377,706,295,355,161,
673,737,469,265,116,140,297,561,337,835,747,068,690,705,382,045,914,239,941,
737,459,675,377,386,857,313,965,721,854,644,184,014,123,676,727,980,444,398,
972,308,338,330,557,289,830,809,784,263,231,849,605,155,731,874,895,217,837,
698,161,790,946,483,415,897,655,015,509,421,249,383,764,205,442,007,398,530,
787,281,179,680,437,120,014,605,573,397,650,421,688,118,216,429,944,512,290,
933,533,848,611,281,967,484,332,248,744,262,371,177,352,319,544,586,026,427,
459,132,569,700,200,106,996,942,089,835,230,999,471,192,407,187,164,798,772,
423,564,656,815,576,610,014,767,409,868,974,266,022,558,873,264,358,687,380,
273,140,429,048,155,073,710,281,066,619,279,749,503,595,998,584,263,110,423,
112,534,793,831,698,504,795,525,715,002,996,158,774,091,488,526,548,586,201,
371,530,284,511,626,142,360,605,185,602,365,779,264,212,371,394,536,467,846,
907,411,328,141,164,418,359,940,445,149,360,899,220,907,908,252,716,976,600,
487,225,648,709,910,766,295,709,541,040,682,822,549,812,923,388,527,966,449,
019,859,555,087,511,711,631,241,154,460,152,489,751,080,374,205,304,234,843,
389,714,244,176,299,129,203,923,907,957,342,472,030,480,984,260,394,751,071,
655,547,657,222,089,771,638,650,298,238,627,736,316,152,879,745,755,514,786,
186,205,893,387,685,152,973,918,330,539,038,094,895,887,416,359,774,461,473,
734,246,581,286,369,488,796,941,454,501,701,915,072,572,303,076,110,445,551,
443,378,052,447,074,561,654,263,628,935,631,009,564,080,618,378,553,111,104,
234,332,914,936,908,615,153,783,995,076,797,687,290,041,364,079,279,287,088,
845,785,365,612,637,239,640,448,139,145,326,358,212,315,678,901,123,971,128,
230,054,171,055,753,151,566,516,039,382,132,659,731,309,407,890,721,636,308,
038,577,642,992,965,212,519,824,625,212,132,162,136,506,151,142,802,781,970,
234,643,058,268,090,980,963,484,363,601,778,671,905,468,741,929,100,849,474,
529,694,796,040,295,698,599,025,613,241,238,298,417,106,243,756,538,871,978,
152,066,332,419,403,963,706,845,416,047,309,137,611,673,094,221,303,525,628,
736,306,130,848,039,920,239,349,655,087,870,732,191,026,515,200,551,748,138,
053,388,728,837,094,095,345,179,593,608,776,840,545,430,071,081,871,117,202,
262,197,296,827,517,814,992,859,739,192,005,210,125,074,536,455,560,910,887,
694,556,336,874,993,230,266,044,679,640,406,523,976,885,882,900,105,503,637,
270,396,469,698,715,509,073,749,942,968,676,925,472,928,744,186,753,361,896,
767,148,778,148,048,921,347,180,297,861,267,589,710,060,175,737,902,763,342,
402,555,736,267,649,238,107,510,948,031,738,738,832,547,500,723,299,423,985,
074,159,295,987,758,668,150,288,510,784,839,207,113,753,511,687,634,050,115,
045,223,037,249,517,590,663,310,563,837,398,344,226,816,710,314,671,340,125,
498,169,368,235,082,073,962,237,304,524,785,896,848,541,889,884,704,678,255,
387,867,627,194,396,687,375,501,311,841,303,778,394,073,044,254,207,436,582,
202,745,876,564,111,951,303,311,283,021,741,382,878,227,544,326,050,181,593,
438,697,415,663,179,951,852,106,815,084,378,845,259,532,865,321,177,103,637,
120,683,799,755,576,530,359,862,660,433,034,521,493,024,770,906,630,778,936,
745,681,596,926,828,922,451,201,116,921,297,325,440,761,950,470,804,363,643,
143,609,401,171,569,162,983,324,434,097,104,938,972,148,883,102,064,402,055,
099,939,265,803,567,411,942,414,726,226,309,515,488,812,161,862,229,064,234,
781,147,173,922,513,776,293,054,914,279,237,210,005,068,091,729,828,750,662,
185,826,907,720,512,934,051,154,783,534,355,051,673,877,451,334,643,302,234,
262,616,879,599,252,953,978,330,967,242,295,357,446,825,209,280,888,763,524,
645,192,792,797,607,178,263,456,783,231,544,151,147,627,157,783,998,186,315,
437,125,281,129,367,370,220,586,503,567,449,547,646,259,610,216,342,895,645,
762,725,358,182,906,751,453,875,852,677,130,617,501,617,946,470,476,124,027,
027,269,047,883,617,907,088,803,710,834,685,815,055,256,546,580,922,829,601,
902,048,597,860,936,698,353,324,101,062,709,001,194,791,201,885,277,374,654,
569,165,198,263,769,615,020,491,976,097,383,999,072,723,240,864,839,233,415,
269,550,740,555,625,076,309,233,351,709,136,089,522,489,046,166,532,053,588,
148,712,522,422,855,137,872,090,451,491,324,198,072,909,181,199,344,771,038,
701,624,919,953,238,732,712,399,835,828,135,373,702,170,948,053,316,735,013,
887,013,413,043,301,698,362,488,260,008,100,547,256,902,483,670,015,503,200,
956,277,956,197,743,592,775,705,136,511,555,625,020,021,599,686,192,609,963,
371,155,962,826,005,994,684,858,349,114,052,566,244,085,770,566,563,270,949,
642,190,964,565,966,749,362,779,986,899,026,757,742,321,588,175,915,412,047,
411,757,485,974,357,408,166,865,351,560,796,308,943,495,650,249,035,455,713,
983,885,788,259,450,194,268,319,142,890,304,074,372,326,635,649,285,496,842,
950,124,191,045,662,356,486,404,644,416,593,194,223,633,663,203,216,448,572,
958,505,531,543,623,429,101,710,143,415,419,915,695,241,293,903,934,652,776,
458,256,132,983,447,140,846,502,002,155,999,564,356,227,961,425,465,853,499,
675,741,091,589,435,698,021,892,977,779,129,481,423,418,015,300,377,933,970,
432,770,960,295,049,353,803,510,161,094,502,544,637,188,081,762,520,019,817,
562,546,762,070,378,231,402,032,268,092,179,947,286,256,284,663,167,882,757,
335,509,204,095,515,829,692,459,947,804,565,405,869,413,087,108,714,036,567,
617,219,297,524,212,991,994,858,557,262,495,188,819,047,900,224,915,761,106,
668,064,397,475,889,669,410,837,175,908,634,654,783,906,612,947,287,555,124,
768,327,276,113,872,256,157,298,854,928,126,308,882,021,826,488,849,355,005,
445,535,476,444,780,540,707,602,502,974,186,805,066,464,711,094,613,852,918,
250,425,828,499,266,265,258,741,782,824,543,402,889,245,606,085,130,146,970,
172,074,204,991,033,144,268,081,271,964,153,250,901,231,851,431,256,679,490,
628,989,893,135,983,926,973,137,762,141,052,944,207,088,307,139,978,265,469,
350,853,738,836,904,997,183,176,533,550,907,148,846,497,060,618,400,453,927,
945,776,922,071,380,540,072,980,864,174,103,773,940,765,209,081,982,362,877,
346,776,025,559,913,095,483,073,199,712,871,066,148,761,863,989,956,513,491,
065,316,946,453,609,841,950,945,117,993,329,476,815,554,649,823,180,526,804,
206,383,686,116,500,696,211,466,117,739,273,480,415,498,544,656,906,970,400,
911,957,282,070,325,859,017,546,500,696,565,163,921,525,610,177,519,727,596,
115,499,489,999,638,881,606,556,688,841,589,832,043,972,427,934,449,737,760,
304,261,651,736,656,132,381,208,032,513,351,317,401,220,727,106,222,033,478,
080,784,747,616,193,178,417,072,290,625,304,161,746,557,738,867,135,922,922,
874,805,704,163,133,952,071,930,914,522,465,938,531,102,380,460,511,881,526,
824,166,026,030,020,294,677,381,047,757,064,595,400,629,352,978,696,569,100,
898,692,913,038,336,832,741,782,983,121,603,745,916,346,626,611,936,405,780,
841,033,074,036,308,584,663,793,855,225,956,292,376,743,979,922,408,934,968,
994,124,282,514,982,910,394,174,365,444,437,436,155,060,182,975,543,691,508,
195,633,823,617,657,914,889,399,394,643,691,002,044,269,968,026,067,366,500,
910,905,519,108,098,865,322,149,721,486,047,265,112,204,617,759,587,537,866,
981,769,679,555,824,627,759,295,196,207,895,215,099,488,357,596,146,823,044,
330,728,843,661,352,683,293,291,842,490,749,785,064,383,062,459,947,026,540,
976,469,416,265,724,011,435,461,343,438,968,722,458,128,200,669,698,700,088,
549,743,110,683,163,650,465,180,982,251,759,572,800,501,583,945,922,082,537,
638,535,221,479,690,001,036,500,482,657,877,590,879,287,591,218,045,906,335,
684,992,638,460,312,310,238,364,508,278,870,948,997,294,834,224,045,273,036,
177,143,224,844,603,047,515,210,640,429,344,064,649,796,463,664,337,842,507,
614,156,758,157,331,690,404,767,515,375,360,992,242,857,378,900,380,536,841,
064,203,459,452,581,005,541,476,340,699,078,389,906,645,514,805,659,411,929,
559,902,954,296,279,330,863,485,433,075,811,904,658,796,198,626,627,999,388,
529,371,098,149,211,345,728,224,966,765,932,394,404,999,355,350,351,952,769,
235,737,417,814,784,694,803,808,846,119,776,997,638,605,429,588,300,509,149,
942,435,833,147,123,502,122,068,352,794,916,911,851,870,171,298,636,231,929,
261,225,465,625,141,951,227,685,520,276,582,842,055,219,955,833,112,426,566,
665,826,217,800,075,446,355,848,603,406,574,744,396,030,235,672,974,090,406,
389,517,982,661,752,101,741,072,261,709,262,887,208,523,750,171,159,661,356,
807,199,356,224,015,872,694,265,371,179,146,715,062,306,443,949,899,423,570,
199,750,486,551,452,314,818,768,155,167,253,634,860,778,113,109,082,238,659,
284,305,175,928,006,234,101,339,338,615,443,188,728,263,109,859,642,765,988,
137,586,718,077,469,276,867,353,395,871,492,919,101,932,920,205,835,676,174,
811,343,239,298,425,293,148,435,039,023,235,326,493,988,823,518,184,381,964,
441,729,253,947,247,765,189,024,581,820,433,503,594,357,982,172,713,047,794,
372,196,787,736,115,057,877,660,705,414,202,255,113,846,719,535,525,383,905,
196,187,964,727,503,421,759,780,930,022,919,927,238,257,557,118,338,354,525,
782,828,560,260,822,801,708,792,196,071,918,605,355,405,476,291,341,974,893,
417,162,740,658,793,231,985,191,079,258,617,522,144,524,251,751,202,908,441,
381,542,487,443,098,864,326,467,014,296,687,703,281,328,231,288,057,418,393,
146,140,270,758,189,587,408,563,423,667,934,615,547,692,794,344,171,749,213,
609,402,223,514,224,105,074,493,089,044,305,103,572,240,332,515,800,844,332,
793,860,089,214,004,958,851,122,367,559,168,523,655,405,184,304,005,890,087,
601,987,622,455,343,768,003,225,268,206,909,970,614,830,125,921,109,024,467,
374,182,727,292,251,396,059,268,438,669,901,099,765,365,156,783,482,464,270,
589,738,067,401,799,300,098,364,237,964,250,582,349,936,317,922,056,748,640,
393,056,732,959,820,630,227,070,411,643,624,315,208,557,919,414,182,591,265,
040,465,371,165,747,525,071,459,841,892,486,740,879,250,562,936,961,340,943,
614,779,000,423,872,868,481,668,908,804,598,993,621,231,977,446,374,378,076,
067,006,096,522,564,728,319,106,408,150,421,519,383,578,767,497,815,879,235,
531,662,581,217,949,491,318,632,949,413,508,421,688,327,903,963,172,755,245,
336,405,137,496,765,717,691,164,506,451,159,452,238,270,779,798,626,614,526,
476,052,258,958,913,045,949,061,783,444,392,289,291,592,068,700,241,398,199,
598,658,309,069,543,372,334,750,507,954,998,614,495,740,107,975,942,967,087,
126,675,237,020,755,050,435,115,583,847,354,618,245,942,829,683,564,435,680,
052,433,661,560,296,996,742,464,016,489,685,840,092,139,257,868,161,250,036,
235,792,878,953,389,760,889,264,881,119,817,724,517,140,632,981,120,422,492,
808,887,676,783,538,944,345,255,727,390,914,280,046,137,596,279,710,339,539,
065,484,772,048,126,976,554,911,947,474,639,702,302,483,555,718,710,509,201,
250,557,411,394,718,075,010,959,703,303,436,019,452,685,180,665,604,138,534,
397,133,744,665,263,119,856,507,710,200,661,147,909,563,607,086,645,113,407,
860,764,209,816,854,642,286,486,235,715,066,819,777,919,902,949,102,571,499,
124,712,894,095,024,629,535,129,853,073,230,023,153,504,492,798,641,015,094,
130,605,073,019,564,545,472,976,080,847,502,033,670,975,093,207,976,391,982,
000,108,477,853,938,130,556,792,587,009,360,723,398,423,588,688,231,027,966,
956,771,470,052,743,468,395,961,445,483,139,165,823,320,753,320,712,468,118,
458,074,652,095,927,251,840,529,334,496,972,926,582,741,571,279,035,847,392,
668,053,815,291,762,964,117,596,310,633,594,024,776,513,456,937,470,270,290,
124,385,766,012,560,846,200,717,907,102,422,778,697,831,443,329,591,487,087,
567,052,339,029,061,115,022,652,024,460,915,910,302,516,624,564,745,350,803,
421,862,389,685,037,224,692,076,288,962,398,808,649,954,084,226,499,884,423,
785,252,572,433,209,224,849,516,420,306,892,069,824,804,025,503,372,630,027,
495,884,695,575,569,041,468,641,682,197,118,397,519,176,797,106,656,107,459,
264,485,008,826,109,490,062,698,216,116,184,806,872,146,636,891,491,023,984,
241,392,515,110,861,831,437,844,915,257,117,259,097,608,759,586,064,024,181,
192,267,476,281,037,284,250,185,954,065,695,974,282,395,180,325,321,652,233,
119,117,286,363,714,650,857,586,201,720,206,388,936,804,600,484,044,748,349,
814,281,584,032,236,604,769,891,930,900,523,100,052,956,527,003,093,189,329,
847,965,309,601,087,595,719,583,906,635,075,263,768,341,689,069,036,966,667,
805,521,611,681,998,580,527,625,076,848,379,987,213,613,392,132,137,002,961,
742,599,487,642,831,085,117,405,300,415,118,009,702,666,912,841,259,532,512,
081,949,056,316,805,534,930,400,864,179,968,074,564,235,517,362,329,208,772,
136,538,038,541,835,929,345,684,078,105,586,065,391,410,425,727,486,899,516,
881,773,406,492,264,303,828,240,539,140,458,270,828,642,341,141,354,139,054,
764,917,240,030,802,172,746,659,136,482,660,584,410,541,462,078,066,992,548,
982,213,171,127,456,926,057,060,453,401,478,174,486,042,744,482,090,097,383,
138,204,317,416,986,488,975,380,199,690,299,696,130,284,201,226,434,523,926,
899,845,259,546,536,686,565,883,097,633,207,667,400,657,113,759,429,055,760,
663,557,125,940,955,000,170,895,343,215,241,070,977,390,827,316,509,158,614,
370,256,989,645,511,768,896,412,813,227,911,549,968,623,426,891,041,030,384,
012,960,304,985,708,598,454,232,271,597,151,301,383,563,069,764,891,549,739,
983,348,592,996,138,416,331,029,470,689,144,782,542,333,149,944,498,130,210,
758,854,904,114,295,505,241,227,290,035,667,329,128,947,111,571,300,092,834,
618,017,598,894,887,591,513,041,843,346,395,144,072,109,590,155,431,071,161,
339,183,589,227,652,664,964,132,957,075,460,618,927,419,954,785,802,373,254,
127,955,780,156,462,048,000,570,253,930,390,093,782,346,047,504,551,188,800,
738,903,405,891,528,702,312,271,387,162,192,201,144,670,513,170,207,887,084,
872,661,561,992,792,039,631,249,792,321,978,650,123,956,654,942,961,815,752,
951,719,545,163,475,831,361,321,868,728,059,931,688,832,622,035,450,316,752,
306,207,199,145,748,658,547,932,758,736,498,935,766,652,126,190,480,463,095,
559,334,624,970,869,571,799,221,708,805,749,010,510,853,136,153,527,767,116,
567,762,060,194,756,554,175,290,055,288,685,188,082,814,703,107,631,684,047,
012,726,592,105,015,459,454,318,223,647,793,478,569,903,464,160,831,406,920,
946,913,577,866,503,717,458,543,698,642,546,647,677,942,354,051,898,459,270,
853,332,015,555,257,185,845,158,394,242,457,626,244,856,281,628,472,442,322,
291,912,996,657,815,797,491,975,850,603,846,278,338,790,945,619,699,869,560,
635,727,244,654,743,915,796,798,677,987,450,836,710,887,965,800,321,888,517,
569,151,305,712,374,657,300,108,901,216,409,138,746,844,509,879,165,937,089,
828,531,592,495,220,352,819,021,250,163,323,891,223,959,426,120,548,493,838,
221,890,191,243,222,043,009,691,668,320,762,310,190,299,294,285,860,252,301,
788,361,330,998,622,840,332,275,043,922,230,840,788,302,963,583,614,973,384,
908,678,323,594,404,322,453,489,622,674,126,176,026,833,150,983,720,102,217,
359,935,626,974,912,910,753,678,721,001,876,855,431,400,218,657,442,693,179,
357,887,200,302,451,848,541,409,077,426,007,552,634,563,870,762,662,691,065,
451,722,819,478,671,486,118,284,618,922,502,014,756,438,381,181,010,500,092,
576,033,605,724,329,401,397,313,182,892,246,294,066,289,651,766,697,070,883,
305,341,936,403,161,656,261,310,038,796,892,126,525,011,495,918,322,989,269,
975,017,795,060,792,320,179,678,216,901,149,970,070,473,802,986,097,654,100,
902,373,463,776,799,548,278,064,726,229,971,265,090,842,920,081,902,834,724,
393,753,558,507,654,267,183,257,150,525,573,292,631,888,182,441,483,062,574,
800,458,518,898,022,937,805,276,336,670,024,171,576,076,269,954,469,804,645,
762,423,356,626,817,962,111,537,294,229,784,315,701,931,822,729,136,701,943,
663,460,071,201,964,668,711,112,504,831,167,445,699,397,889,880,232,517,336,
193,979,736,731,611,931,207,593,678,231,981,377,481,877,749,623,167,141,974,
864,182,960,745,089,185,347,187,344,278,049,913,748,480,381,119,194,468,566,
845,223,061,173,672,964,404,109,445,509,177,183,524,994,895,079,460,528,947,
936,849,052,521,507,774,814,590,687,956,547,275,578,817,407,577,339,248,785,
380,973,959,291,715,198,350,300,782,575,920,245,857,798,603,252,954,159,087,
580,497,976,438,384,983,175,185,568,447,755,574,514,994,157,021,669,284,926,
743,802,808,295,487,804,949,586,444,835,744,456,438,313,994,831,353,961,806,
734,076,645,126,840,966,548,613,282,714,829,625,035,026,810,820,738,259,218,
574,583,037,342,347,046,126,927,985,374,099,616,831,594,197,019,211,260,547,
965,033,499,404,638,051,444,910,432,785,877,008,090,944,623,370,868,669,316,
053,769,244,170,141,210,712,642,418,903,948,163,806,703,266,480,634,660,855,
086,624,747,203,718,759,560,691,626,475,807,893,526,391,401,757,680,578,711,
774,734,424,633,718,268,063,247,655,198,421,230,521,085,335,026,266,083,225,
814,989,103,823,847,785,796,414,650,985,981,519,031,380,666,004,401,633,471,
666,561,837,030,545,721,669,656,418,142,189,698,878,000,758,743,980,843,080,
820,582,921,476,138,879,184,822,379,467,679,200,040,509,116,592,218,482,520,
561,638,391,311,481,654,438,479,060,879,060,656,935,696,974,775,136,361,476,
892,357,693,297,883,022,555,802,188,500,541,476,117,901,086,556,386,432,101,
853,057,511,083,354,630,329,311,432,035,302,336,384,695,503,003,349,093,273,
032,403,585,611,948,517,838,182,272,951,674,136,639,693,018,200,476,049,304,
991,366,562,084,418,243,555,129,439,612,659,839,374,333,422,177,979,734,267,
387,960,874,294,066,350,557,754,236,641,544,617,548,181,880,272,919,264,727,
070,138,212,634,185,179,647,927,654,959,952,207,405,282,927,700,941,501,867,
159,268,369,123,001,487,567,908,266,220,467,885,468,659,565,071,362,693,356,
573,007,417,539,850,414,075,358,944,008,741,962,728,768,761,378,817,947,711,
652,182,832,538,114,290,285,439,150,197,177,710,639,121,758,337,008,089,651,
583,651,969,719,202,822,673,331,673,831,256,908,469,012,747,660,870,228,432,
795,188,532,336,935,233,943,282,375,508,951,343,659,401,077,010,697,110,091,
865,318,262,446,622,641,421,701,326,000,516,442,666,123,537,202,324,586,148,
914,850,854,152,958,236,706,547,099,273,534,393,170,384,814,897,128,735,797,
493,855,737,883,958,787,543,837,660,051,049,166,427,613,892,291,956,319,698,
663,169,456,773,493,795,880,487,105,956,747,121,785,169,595,236,735,538,489,
318,585,419,538,539,949,313,401,292,103,636,548,811,910,055,745,549,325,057,
567,101,917,314,645,359,506,095,441,621,291,566,187,388,391,936,709,415,439,
204,364,858,963,201,929,512,902,519,816,296,664,862,750,764,935,527,082,477,
565,696,110,460,760,303,991,444,719,992,747,099,776,001,414,987,811,393,903,
185,011,675,036,172,675,319,124,072,014,296,482,288,062,596,565,607,433,054,
383,755,346,262,233,849,573,450,465,667,388,696,024,337,725,929,504,084,827,
523,334,822,688,796,888,353,229,896,102,331,303,429,499,175,547,821,961,827,
415,276,344,550,224,587,997,881,045,118,435,410,089,170,774,579,396,173,619,
139,103,885,312,003,900,216,811,630,019,565,435,742,777,990,469,150,612,806,
344,031,774,330,240,751,209,234,424,280,296,580,448,886,378,494,246,976,116,
655,275,782,645,695,491,746,062,762,691,821,147,283,022,847,619,215,030,940,
187,256,739,604,199,606,580,463,019,668,141,955,037,343,417,896,646,490,632,
365,927,909,015,980,008,030,282,129,082,609,783,682,887,941,015,631,702,117,
732,303,603,009,465,502,976,911,080,511,865,830,529,243,548,630,846,521,562,
918,646,800,034,639,598,818,649,092,924,250,426,556,705,118,075,801,954,060,
384,519,900,535,559,625,943,666,579,296,646,455,269,894,906,790,845,744,988,
313,684,454,917,160,095,930,186,485,064,338,338,170,519,689,838,295,628,585,
836,632,977,554,046,365,724,217,303,454,244,550,855,968,717,126,816,966,619,
771,714,027,971,837,867,049,669,576,651,881,279,782,437,840,313,382,488,842,
655,348,578,741,626,064,217,208,836,514,350,331,111,486,736,012,157,655,412,
189,541,477,523,817,117,922,022,667,237,988,769,400,290,466,167,762,541,112,
807,214,206,149,303,379,669,274,315,647,518,995,439,518,369,952,221,799,747,
272,273,237,702,711,288,278,369,986,534,891,752,778,238,469,098,957,966,780,
322,314,075,708,726,881,116,370,670,300,629,342,769,686,161,771,790,047,330,
655,348,445,547,916,962,539,248,339,359,087,386,736,155,082,368,415,924,103,
308,477,360,477,303,864,107,226,575,569,455,685,947,861,550,006,429,567,989,
780,690,853,058,686,206,248,522,824,840,936,529,611,124,109,163,988,889,293,
810,465,009,178,575,985,344,796,570,059,070,117,371,367,365,240,327,056,901,
788,691,623,343,244,689,199,880,161,748,207,822,919,370,678,389,672,212,572,
295,343,837,305,180,388,779,532,423,486,337,506,882,440,956,227,836,110,590,
037,933,641,792,609,005,181,355,211,297,957,787,893,892,196,643,076,574,812,
971,749,387,161,629,328,667,863,823,810,693,348,802,829,290,202,565,439,178,
163,077,619,653,137,137,338,102,250,488,746,904,024,161,814,053,219,472,943,
468,921,455,920,988,737,231,345,570,644,675,590,644,221,743,612,247,360,420,
751,105,126,444,179,851,164,116,964,419,561,907,683,223,702,202,472,096,195,
742,936,994,597,143,450,264,817,734,372,445,392,542,465,155,360,992,520,006,
348,792,562,855,992,888,468,109,031,241,762,673,180,929,810,750,772,028,146,
328,783,641,154,847,637,625,631,237,224,352,661,159,723,289,254,948,146,342,
488,683,163,854,220,403,912,609,812,653,397,780,575,194,631,606,378,607,797,
821,119,464,941,129,589,989,526,414,658,053,867,613,899,057,854,973,245,363,
490,189,717,319,410,325,030,609,477,357,704,394,179,179,245,456,325,553,074,
413,583,144,970,160,305,070,946,726,499,130,245,034,025,148,913,238,793,547,
526,225,354,739,941,801,001,088,136,432,470,525,012,582,778,928,461,972,725,
219,169,688,071,358,751,151,415,200,492,447,932,510,337,189,204,515,355,621,
471,558,096,692,979,238,173,447,014,442,008,950,658,786,605,634,058,528,977,
351,344,901,592,162,881,225,036,806,383,500,966,080,557,009,229,044,629,702,
930,391,456,935,256,794,416,656,186,143,509,815,090,973,685,177,001,854,500,
805,953,166,773,517,811,742,463,825,900,604,309,365,563,550,760,382,567,973,
927,678,713,868,949,154,935,347,740,356,615,631,608,768,161,565,093,392,584,
896,311,326,960,124,175,457,610,563,605,839,846,901,494,010,150,817,644,195,
193,227,363,211,113,390,851,793,519,338,278,872,354,300,176,811,842,112,761,
450,944,860,491,707,410,849,149,232,078,669,954,655,339,425,507,062,923,037,
879,993,361,390,394,808,204,463,055,114,958,543,729,459,189,265,067,192,909,
657,215,274,339,440,611,204,763,720,830,233,080,224,773,116,165,175,785,097,
793,069,274,531,756,303,634,646,859,703,710,334,406,127,263,151,536,991,930,
725,582,297,583,568,250,115,779,524,157,528,047,541,414,800,610,959,907,455,
769,778,813,818,665,362,104,277,297,051,772,748,150,426,084,069,094,609,544,
516,377,356,293,096,923,379,014,322,311,430,754,553,082,898,256,980,500,997,
215,757,153,759,426,566,309,122,076,145,688,379,620,544,654,342,781,428,478,
206,197,419,732,007,924,831,803,170,937,196,680,668,442,918,700,495,982,876,
720,392,652,963,441,843,177,962,670,625,722,737,093,286,528,166,312,993,286,
308,827,259,955,852,091,278,782,565,924,482,128,416,666,021,683,700,797,347,
978,228,498,869,622,310,388,504,146,733,189,949,122,875,392,055,095,401,557,
648,873,996,289,767,535,725,082,278,518,289,148,199,804,799,695,371,712,436,
206,569,602,366,586,343,333,421,703,526,552,814,339,281,941,335,425,803,886,
321,640,003,448,715,958,190,412,425,545,462,900,570,466,182,633,112,390,591,
434,267,620,097,357,371,564,730,112,407,545,485,967,457,677,917,048,835,339,
749,070,843,053,482,395,774,266,750,766,565,132,501,170,572,623,825,745,502,
823,655,730,395,628,857,511,951,613,038,333,791,462,895,270,037,039,124,111,
319,899,655,066,863,600,619,762,071,543,237,028,991,671,042,895,837,744,928,
416,146,710,608,076,819,410,500,582,798,279,437,353,757,776,433,848,568,575,
686,019,329,722,957,929,825,421,718,696,909,097,048,190,539,901,182,830,212,
819,981,288,118,826,455,646,005,273,788,114,251,120,685,647,420,131,845,526,
263,588,402,134,914,436,111,881,236,412,745,052,713,603,480,964,045,456,501,
101,831,698,136,562,330,748,723,984,547,930,491,805,104,957,583,017,291,980,
480,430,529,382,202,296,429,431,844,180,279,294,992,756,549,284,704,273,634,
147,865,209,154,293,057,680,947,653,036,522,383,405,658,530,178,037,282,872,
114,871,459,303,187,031,944,344,443,002,696,684,602,451,292,540,075,759,651,
398,448,323,513,369,530,549,194,649,889,342,881,070,331,018,273,164,029,274,
445,597,542,953,618,814,419,492,319,058,828,888,381,039,580,295,677,940,269,
915,141,419,816,435,433,779,851,655,525,458,979,215,613,389,597,644,256,708,
003,127,579,922,033,834,280,656,231,962,997,462,839,952,696,261,487,679,787,
772,157,805,962,241,845,559,368,198,936,212,979,263,896,988,818,529,283,021,
650,639,317,364,284,992,126,971,041,326,821,678,266,880,118,247,467,569,526,
881,930,705,507,968,558,085,061,141,857,296,714,701,371,282,544,815,586,499,
875,938,371,128,583,828,703,415,700,035,147,657,059,504,291,447,627,341,160,
240,974,561,784,556,442,645,850,248,774,990,880,353,758,858,543,050,900,336,
295,691,020,015,438,542,048,690,926,334,952,618,268,707,525,039,034,692,373,
313,218,357,648,998,670,219,959,363,555,301,051,499,643,790,147,999,130,260,
679,910,244,492,817,062,340,291,503,416,704,645,389,205,437,542,445,110,162,
662,090,708,341,724,241,556,144,273,134,363,137,923,373,290,512,076,791,275,
870,040,032,147,139,875,245,319,995,969,651,127,298,011,317,942,865,884,570,
922,626,061,878,750,822,550,559,151,973,469,207,580,720,245,647,317,703,955,
579,653,711,967,694,704,605,611,403,645,288,938,785,051,078,026,616,153,067,
154,145,851,245,771,596,414,756,922,643,498,314,267,233,190,296,142,738,470,
437,237,795,220,042,172,096,617,169,837,996,717,457,381,896,703,847,720,478,
933,697,561,388,964,709,262,706,642,113,001,870,250,554,509,034,463,896,954,
025,285,449,830,666,370,374,944,990,880,591,579,688,493,813,506,577,602,775,
831,878,056,450,930,188,723,170,022,333,896,708,106,726,627,116,434,124,094,
016,135,615,019,944,370,814,573,869,294,956,025,716,457,293,490,237,347,079,
552,269,985,525,699,828,380,472,983,801,404,147,790,526,383,303,882,637,492,
313,335,069,088,769,317,107,733,110,243,602,113,889,825,318,128,553,245,971,
287,551,461,961,553,114,684,633,816,475,787,710,942,952,521,280,800,343,265,
289,933,884,926,179,935,645,074,060,254,114,740,401,713,300,253,965,068,818,
269,174,809,381,047,942,381,082,477,796,580,158,278,740,340,588,323,928,628,
779,188,102,052,179,594,724,061,035,750,292,447,600,473,458,167,978,669,457,
529,336,607,637,206,735,384,408,925,845,081,354,505,004,709,900,574,493,440,
277,614,869,427,960,369,126,335,823,326,824,787,255,407,463,906,329,119,772,
448,344,160,318,761,219,259,914,540,693,670,833,216,895,725,761,354,244,567,
568,497,128,777,973,044,429,748,586,773,554,817,098,573,864,206,175,939,320,
623,397,940,269,276,600,402,674,016,551,705,610,940,341,923,541,002,537,482,
285,258,080,813,720,469,509,733,057,603,254,377,969,716,646,178,512,323,278,
268,812,738,208,740,133,307,197,681,964,522,470,176,227,773,541,782,174,995,
123,483,127,771,811,046,895,235,959,687,607,719,419,489,331,204,840,976,051,
888,740,495,283,497,271,042,899,798,726,091,147,250,771,359,526,489,569,427,
239,239,420,797,692,494,377,862,870,681,653,001,139,578,634,037,740,065,431,
743,619,367,386,387,292,259,966,877,641,954,932,923,975,075,556,574,535,960,
571,772,167,784,579,999,222,027,852,463,866,629,489,611,578,559,514,715,915,
728,599,518,007,730,242,754,123,950,670,132,626,323,989,938,420,865,048,638,
639,286,033,053,797,779,116,240,289,715,787,147,973,752,552,689,232,488,122,
725,578,838,972,804,414,908,711,991,947,922,392,463,082,911,834,834,897,659,
342,080,652,874,626,905,816,494,040,202,481,551,745,361,683,158,073,270,223,
845,931,441,896,856,117,937,038,908,296,912,275,563,935,709,990,840,081,959,
226,527,841,389,954,410,565,313,641,080,794,879,501,887,512,420,982,250,198,
181,219,970,253,603,842,103,005,142,015,580,482,091,523,120,947,674,437,186,
572,353,444,999,180,101,227,141,189,377,192,725,170,575,758,682,923,668,485,
899,532,571,970,474,643,632,910,995,304,851,730,553,521,863,536,700,293,139,
792,792,928,974,313,327,447,589,630,215,785,487,762,502,555,360,216,464,778,
476,194,037,780,852,106,065,630,412,815,624,662,316,667,827,448,735,227,450,
630,195,657,324,459,706,714,214,823,556,538,542,616,314,832,823,271,715,941,
992,074,490,505,934,967,742,713,087,471,445,011,696,934,527,071,909,505,834,
669,050,400,022,246,419,453,096,608,484,741,811,429,708,129,514,365,916,825,
006,919,490,110,911,093,760,090,440,814,721,676,806,217,893,194,230,009,176,
799,772,036,671,124,002,601,440,073,038,682,627,186,534,168,820,049,005,794,
971,285,468,916,703,895,316,637,286,301,647,371,547,922,490,659,188,639,019,
448,357,647,754,983,359,262,703,811,637,681,346,436,402,021,813,915,973,951,
976,782,788,330,852,609,332,975,086,356,212,531,891,657,989,206,824,461,206,
317,961,044,130,015,299,766,879,640,793,800,215,399,691,674,093,001,065,430,
797,712,335,191,910,739,485,761,439,058,116,599,188,643,573,096,382,899,754,
161,034,379,737,351,599,456,909,147,777,652,506,769,113,858,093,375,417,654,
877,100,129,610,309,069,675,927,735,550,159,321,179,551,828,443,105,800,976,
497,723,932,914,493,120,361,860,272,450,030,492,187,051,954,886,981,727,720,
793,266,207,993,170,257,234,800,097,456,380,542,927,291,533,557,565,524,295,
655,703,402,179,044,799,888,014,114,039,484,317,017,313,664,561,026,897,410,
604,210,981,205,584,510,901,993,718,473,305,678,038,177,374,505,776,512,884,
593,946,614,622,304,929,224,844,487,583,482,291,828,257,359,183,322,939,893,
055,384,026,581,692,615,427,862,068,043,780,347,247,176,702,108,459,789,197,
962,497,565,473,457,639,881,678,640,279,995,879,774,595,222,527,316,482,346,
247,305,343,639,910,972,835,125,976,998,883,340,829,862,053,365,039,800,351,
380,122,096,723,339,228,283,604,982,203,690,644,064,280,679,635,998,608,706,
143,899,546,946,928,672,937,115,828,066,534,440,617,992,663,878,265,753,522,
313,874,539,843,447,145,044,208,850,186,891,889,761,467,490,967,344,113,483,
245,147,359,610,587,384,443,334,666,646,709,768,800,001,579,956,529,725,057,
599,756,826,160,380,035,422,416,795,087,396,782,001,357,674,919,607,253,656,
007,612,833,732,354,612,348,769,526,401,955,638,222,492,607,563,117,409,487,
931,542,099,559,545,298,393,084,737,422,351,176,238,873,264,995,233,728,114,
644,670,354,679,258,257,651,891,716,157,080,479,099,413,719,724,722,894,313,
017,862,452,404,237,149,207,058,586,131,992,532,919,806,748,424,862,372,715,
820,103,055,079,309,421,438,524,817,711,884,079,102,011,758,755,514,593,329,
379,344,092,029,572,490,361,601,922,392,478,574,891,947,313,843,993,972,271,
006,098,424,914,952,573,025,504,240,047,176,365,557,654,365,030,217,383,718,
697,829,058,922,181,287,064,401,503,900,881,277,617,131,846,222,499,269,539,
646,526,405,813,005,270,047,238,239,630,910,827,439,290,303,328,036,168,003,
281,019,444,918,297,667,191,548,345,662,935,993,300,567,414,009,264,549,058,
472,404,367,159,620,160,029,875,194,453,941,096,707,796,797,394,156,377,812,
418,207,443,694,565,628,022,208,034,195,489,443,771,772,613,889,458,916,981,
243,967,350,821,586,068,103,645,294,258,881,919,271,646,126,496,108,051,579,
035,085,606,435,927,156,305,547,247,594,650,368,516,511,001,636,283,384,456,
419,084,739,936,784,572,681,073,197,058,940,871,865,994,580,923,382,433,352,
694,758,321,744,281,599,207,157,479,913,380,654,241,571,205,469,195,845,030,
620,107,887,412,671,500,105,395,109,687,094,183,428,677,650,252,115,870,140,
258,755,800,419,355,325,343,965,407,309,199,826,741,898,548,588,720,644,182,
210,227,846,701,028,990,450,721,267,354,727,928,468,336,978,876,352,995,542,
504,493,840,557,097,500,241,036,474,134,454,356,197,069,219,897,280,515,177,
338,361,152,356,531,554,847,950,764,666,421,334,407,174,490,636,895,579,410,
037,865,657,146,099,498,112,838,394,805,968,008,208,615,130,116,856,073,624,
999,158,388,126,718,491,549,772,685,389,580,495,722,715,202,517,906,286,351,
036,961,272,481,185,953,087,408,246,742,052,266,651,360,845,144,655,776,314,
351,484,895,834,541,231,334,265,290,600,770,311,928,690,656,310,788,922,328,
323,738,676,702,154,501,193,794,296,169,185,135,444,997,087,699,166,654,890,
705,134,809,386,509,660,419,374,474,726,727,261,925,444,545,877,275,869,441,
180,433,617,255,734,830,203,203,041,744,868,610,834,460,748,089,645,432,406,
106,225,213,410,629,762,533,496,111,693,388,203,297,623,031,616,402,045,346,
089,077,963,213,713,832,699,394,779,545,293,024,720,977,407,386,266,354,572,
280,622,304,571,811,172,914,515,153,383,701,113,289,659,705,914,628,721,671,
717,744,781,319,515,574,768,456,297,027,324,714,691,446,923,463,018,258,572,
956,089,053,598,570,484,097,342,400,707,091,323,400,232,547,769,322,970,983,
120,742,712,483,238,169,241,982,519,321,841,198,010,573,030,817,716,254,128,
323,154,394,227,735,350,363,383,679,979,054,426,069,542,815,068,927,821,828,
255,748,488,275,465,715,049,756,225,490,566,172,773,344,804,376,703,187,464,
149,094,078,986,669,540,539,366,508,187,616,125,026,147,594,870,597,858,198,
279,256,548,894,543,685,798,351,255,436,708,183,052,146,717,278,505,572,440,
963,102,639,508,487,618,813,652,550,906,680,470,664,953,468,142,769,865,769,
381,433,396,080,947,352,230,889,861,833,616,951,817,543,350,604,893,127,198,
449,855,292,245,026,769,862,075,623,421,448,406,520,084,515,338,114,202,948,
918,592,162,579,407,345,544,778,611,735,142,977,131,665,052,555,290,658,920,
959,809,725,463,312,363,840,946,199,665,693,106,016,183,364,318,431,085,909,
262,457,802,154,104,502,926,875,393,955,440,916,252,617,465,185,489,811,096,
134,314,122,946,455,503,240,069,281,218,010,360,911,263,525,966,546,771,307,
089,913,111,057,404,450,877,000,210,201,017,002,611,877,486,083,465,069,319,
737,222,455,865,146,993,361,409,211,259,538,817,649,191,126,205,264,357,378,
410,538,902,265,615,049,477,766,231,423,966,159,563,174,230,644,693,054,491,
156,455,628,227,086,476,768,056,281,933,806,927,466,334,540,748,209,066,201,
448,330,086,781,400,872,855,406,478,383,146,821,974,412,503,496,183,930,341,
276,872,280,903,794,412,094,876,511,216,874,490,472,731,962,127,126,620,776,
227,898,091,865,759,311,164,530,497,767,386,588,553,549,692,662,093,019,614,
364,423,587,991,667,091,576,082,450,460,722,853,291,690,389,540,825,332,979,
632,975,166,234,168,312,744,342,379,562,640,604,418,111,964,917,258,628,636,
161,729,446,251,289,767,603,779,595,009,930,204,273,143,507,949,822,622,884,
563,592,310,033,587,977,746,350,485,035,598,535,542,496,881,165,429,377,331,
576,783,748,071,314,202,200,926,264,579,499,365,725,024,164,665,888,936,166,
302,970,322,193,548,815,287,341,800,032,504,574,037,857,368,969,558,627,768,
049,631,327,843,688,676,387,573,048,434,196,689,966,386,327,648,828,322,855,
441,751,214,653,043,924,414,882,074,177,137,435,310,236,778,726,220,689,974,
913,103,985,250,155,672,122,516,661,362,436,399,429,562,872,952,789,719,963,
404,060,517,044,081,454,273,290,435,750,932,664,581,808,016,150,875,296,928,
615,506,250,012,102,502,845,838,321,151,850,594,418,936,230,426,314,135,455,
132,081,398,214,438,196,801,121,219,787,830,192,789,867,273,330,445,117,110,
558,377,253,395,486,005,177,287,497,803,172,641,770,174,787,071,984,945,704,
486,896,659,552,473,158,218,493,872,822,633,891,548,082,805,647,949,918,501,
049,158,785,278,368,454,913,158,587,525,427,503,290,290,499,428,006,712,513,
197,805,622,128,117,346,507,880,380,049,233,371,806,858,713,113,092,967,889,
433,530,789,546,923,900,160,605,208,171,495,069,527,059,033,705,641,473,074,
455,198,552,349,519,580,194,206,436,379,573,010,094,011,258,394,590,026,129,
248,382,949,066,239,144,095,935,230,387,157,995,803,852,195,976,704,952,031,
130,413,492,386,219,295,874,738,199,536,644,690,287,019,805,564,563,639,101,
099,221,669,367,605,898,096,663,313,412,372,742,487,753,894,125,741,590,847,
133,949,242,601,120,342,066,656,139,385,079,212,248,543,552,932,171,875,310,
629,862,831,063,466,458,131,142,623,297,830,167,911,227,385,417,846,112,191,
412,845,726,531,941,907,309,094,233,805,449,147,711,644,287,892,420,217,953,
567,955,742,549,744,757,410,937,120,942,373,828,407,515,018,014,703,957,979,
704,120,928,639,565,793,451,662,397,261,428,294,199,393,905,140,852,239,860,
997,323,611,674,070,026,191,636,641,874,254,266,295,003,272,567,231,853,574,
174,499,993,216,605,804,758,063,054,318,450,060,156,074,485,452,805,383,090,
289,850,524,941,094,783,940,843,399,322,544,263,925,842,490,551,223,347,062,
371,564,226,510,063,097,980,752,074,329,419,589,675,430,334,486,692,275,393,
932,094,125,851,440,417,637,497,614,500,568,644,827,021,922,827,959,517,197,
236,417,917,289,459,526,239,946,142,635,629,896,611,267,654,756,744,668,284,
432,527,830,061,856,472,599,749,064,498,764,692,758,935,919,198,952,168,215,
200,766,356,600,359,254,392,559,908,654,712,467,153,201,092,363,145,090,696,
573,976,755,501,386,387,467,842,237,981,681,205,386,431,620,817,472,511,817,
614,979,706,202,256,261,206,269,129,267,690,105,831,099,233,408,735,244,775,
049,438,792,532,161,099,815,785,610,073,159,984,140,582,908,821,115,143,636,
149,248,318,807,536,618,591,031,360,648,851,749,127,306,848,198,906,963,148,
743,816,986,717,688,846,925,638,716,570,127,259,172,631,584,553,094,238,124,
681,512,239,114,419,722,776,514,373,615,914,290,592,744,587,695,225,958,113,
373,722,588,874,045,193,047,722,914,810,464,759,366,299,413,835,069,714,462,
239,948,387,979,137,597,092,350,312,438,653,301,981,928,580,929,649,437,265,
632,203,672,572,952,709,305,675,239,573,678,423,162,371,957,405,249,237,807,
435,859,607,298,547,106,135,955,398,393,060,697,401,552,539,383,593,277,093,
953,234,353,957,492,234,726,433,032,128,073,893,924,121,284,898,090,627,352,
143,277,366,262,309,318,129,355,609,937,578,200,075,911,943,706,778,910,082,
599,939,400,699,285,922,972,794,257,428,662,084,082,581,516,570,395,143,307,
840,322,338,746,734,174,419,483,585,920,343,029,516,603,103,873,694,065,975,
367,829,904,875,732,616,895,221,235,238,100,855,450,550,930,050,676,962,830,
094,894,810,102,010,404,988,784,020,493,412,542,943,944,333,282,189,460,381,
878,922,159,779,419,023,755,796,125,745,493,816,356,829,092,223,087,456,862,
392,472,154,456,484,037,137,467,739,179,326,055,569,356,960,020,983,311,686,
099,201,514,196,579,086,752,699,859,770,869,462,160,069,115,198,017,251,653,
922,527,980,048,644,974,194,089,459,091,347,345,007,468,807,456,206,026,839,
582,564,615,782,918,663,797,360,047,049,688,652,541,643,985,049,662,148,086,
927,062,617,310,861,484,745,619,615,247,774,039,645,755,335,447,645,811,407,
654,539,078,792,142,504,252,588,156,576,591,363,363,016,249,777,213,151,801,
047,660,372,530,693,743,041,508,453,545,197,185,987,378,731,667,285,047,434,
662,881,502,795,854,632,523,028,598,493,048,122,504,791,635,945,065,990,383,
573,833,040,561,732,430,844,203,385,259,443,025,825,115,527,815,487,128,004,
977,878,132,968,425,645,948,383,538,841,830,183,811,081,378,852,323,537,341,
662,577,797,138,351,655,595,255,727,034,627,987,443,480,609,633,490,166,597,
577,951,862,488,105,700,471,317,655,064,499,368,766,965,745,136,753,042,467,
956,617,481,470,284,929,537,056,909,533,613,628,947,403,783,325,387,600,282,
551,544,252,470,226,375,335,360,594,745,243,175,955,745,767,042,618,467,182,
646,561,653,342,390,537,451,619,794,405,362,082,314,573,229,886,285,529,072,
262,081,299,696,114,606,834,755,314,462,589,838,917,041,732,385,222,446,603,
431,540,244,618,494,759,741,179,567,988,456,876,071,960,998,409,588,455,828,
742,114,552,215,804,450,903,614,318,392,016,033,798,195,921,017,548,861,445,
994,071,228,919,363,737,896,123,026,040,307,757,886,195,678,630,669,794,879,
373,767,988,779,587,268,559,305,212,248,716,270,489,107,599,937,515,067,949,
621,781,828,985,288,934,030,243,753,684,067,348,171,428,660,085,476,899,281,
509,039,028,079,660,516,122,954,210,155,484,022,444,501,170,535,370,359,991,
680,084,093,711,565,415,834,798,807,558,759,898,597,853,036,667,965,766,455,
511,996,284,844,880,339,446,350,031,744,966,148,141,850,540,877,402,984,525,
574,295,854,246,199,846,848,127,388,966,899,999,744,715,504,976,179,488,078,
558,998,135,540,941,881,951,253,853,014,000,215,609,664,472,282,524,312,533,
266,927,397,767,248,517,511,010,948,928,661,456,374,982,669,532,489,676,801,
110,736,198,980,313,603,941,499,382,745,425,891,724,079,741,461,135,594,980,
900,709,427,036,854,177,069,805,653,861,791,737,929,614,517,727,703,821,638,
423,979,478,788,277,862,814,114,980,656,737,121,088,339,998,767,929,743,613,
167,378,911,963,841,391,239,551,953,849,457,050,204,152,536,616,123,148,139,
724,502,291,289,845,138,967,291,589,233,683,980,483,780,190,430,022,457,754,
740,760,498,377,902,890,051,707,306,063,169,327,112,669,416,742,788,178,343,
176,054,869,880,174,488,801,320,648,973,015,133,136,552,366,682,190,140,852,
587,563,952,941,249,497,727,051,862,347,152,166,496,713,211,389,002,505,815,
679,333,121,738,653,481,909,782,000,176,431,480,367,566,140,843,815,644,078,
104,907,804,721,613,562,181,440,190,608,202,610,064,220,613,489,648,416,094,
312,781,006,084,076,581,883,178,711,791,524,628,921,354,486,457,547,870,581,
159,900,357,937,953,431,734,030,272,058,487,145,877,757,426,681,823,527,456,
702,614,910,471,990,346,778,209,403,167,877,366,758,898,041,984,321,575,765,
306,903,717,002,181,770,535,715,867,275,394,945,438,044,637,690,294,722,810,
413,749,291,927,348,981,196,042,721,275,866,741,485,940,864,026,378,320,500,
713,267,657,264,729,893,034,847,472,161,280,880,198,045,512,406,471,196,274,
281,751,299,933,729,220,422,081,519,792,541,857,484,403,586,319,667,972,526,
962,770,929,985,258,302,005,875,826,599,934,113,319,897,042,636,497,821,695,
421,342,218,875,207,146,880,494,186,001,087,436,532,671,459,441,238,608,746,
192,532,183,201,206,658,433,760,178,510,651,607,258,616,392,288,805,837,101,
635,975,505,392,171,451,744,343,350,851,614,711,206,461,286,521,997,472,941,
101,552,707,919,183,289,571,775,227,715,656,284,247,051,334,867,611,865,701,
975,592,410,715,212,428,266,892,365,400,769,615,062,995,554,559,954,493,736,
426,379,199,577,861,346,293,001,610,276,662,335,840,950,617,494,077,089,404,
076,401,491,344,246,439,835,828,727,772,884,895,313,616,793,826,547,848,432,
276,664,897,960,380,919,126,480,814,600,201,510,450,484,926,465,904,288,662,
717,740,042,109,161,339,838,048,579,652,657,060,280,064,874,593,595,927,108,
435,595,317,931,949,816,216,340,333,103,798,619,580,558,764,629,239,035,235,
240,400,173,230,010,959,252,416,891,751,645,788,282,116,005,618,061,964,799,
697,970,122,202,060,594,255,810,493,295,937,834,471,108,326,688,459,356,070,
756,731,889,359,629,991,511,553,000,275,403,179,270,767,389,716,566,553,493,
707,274,381,336,929,646,475,133,102,625,185,452,789,073,671,881,443,447,602,
475,515,212,905,778,296,146,701,327,695,161,275,509,649,790,594,554,644,301,
575,785,010,213,419,521,781,102,917,302,379,365,000,218,086,709,661,409,894,
252,890,158,402,419,831,516,952,634,545,089,811,474,639,813,713,138,629,861,
693,882,258,087,869,985,010,644,400,949,172,096,947,821,399,457,045,768,040,
619,736,567,981,278,782,508,885,448,544,881,855,280,248,357,520,393,048,962,
731,698,826,874,781,526,190,806,577,062,361,107,450,366,766,646,474,156,997,
163,573,108,954,391,268,947,345,092,552,414,279,139,621,862,316,174,590,897,
460,924,852,640,663,924,923,268,044,956,494,871,405,441,164,547,395,479,279,
727,536,868,764,741,086,248,154,975,271,731,985,641,513,911,257,367,184,389,
682,849,480,309,320,137,574,701,484,323,613,799,846,397,339,487,184,476,627,
911,516,717,516,984,027,902,535,135,652,990,629,376,063,942,758,366,088,078,
815,601,078,760,873,300,123,088,693,410,705,633,039,117,000,753,588,521,939,
007,207,466,602,370,221,620,671,787,100,441,240,611,891,991,917,643,507,523,
429,929,142,373,939,767,359,361,531,588,888,514,700,833,082,079,592,057,122,
221,481,979,175,175,571,786,967,399,995,459,803,748,283,811,744,231,300,279,
284,804,608,055,916,774,625,451,268,953,289,119,504,160,818,805,213,514,809,
453,812,424,282,965,554,908,614,807,937,698,502,549,516,870,871,290,773,316,
789,017,957,378,287,059,797,787,640,930,501,249,714,253,331,182,745,692,666,
498,925,089,754,899,958,379,919,703,075,756,091,755,707,660,942,273,239,896,
802,932,523,779,731,764,726,868,451,051,836,327,357,885,144,862,069,515,652,
944,897,240,931,656,633,705,626,555,114,796,569,629,526,775,191,593,347,964,
569,540,472,537,023,086,308,923,807,039,257,962,666,714,577,676,237,629,712,
416,273,904,027,394,998,714,207,872,685,642,346,586,493,112,707,308,315,348,
907,948,103,768,998,895,606,683,385,227,147,764,200,621,466,719,119,929,867,
335,676,111,853,089,863,086,262,617,317,658,073,157,660,982,840,576,678,767,
418,469,907,652,853,429,103,351,447,732,745,607,172,878,498,893,140,371,384,
820,157,443,850,431,270,816,539,119,000,578,048,117,857,261,560,887,404,004,
412,777,274,617,425,323,218,578,426,963,043,268,045,166,852,372,138,212,155,
052,682,161,677,977,410,237,328,819,755,905,141,510,287,016,403,439,931,725,
068,317,434,284,214,651,124,512,975,725,272,330,164,713,364,988,892,622,418,
262,961,319,623,144,768,847,927,649,306,386,837,163,905,118,307,843,338,363,
936,209,206,217,780,078,997,210,251,621,055,503,976,461,606,714,116,752,906,
457,659,551,410,569,012,866,796,872,924,425,528,296,279,084,652,551,494,093,
372,918,621,765,061,135,010,624,573,532,675,967,289,995,713,583,772,075,843,
820,067,992,084,699,527,035,923,506,428,262,942,584,588,474,033,958,984,611,
255,039,869,547,230,562,054,346,500,979,163,955,710,278,242,946,304,540,659,
574,181,436,138,194,139,229,084,665,833,342,694,659,916,532,475,435,888,938,
944,598,596,150,803,573,442,856,992,853,517,432,733,419,359,887,486,063,680,
980,869,538,191,586,363,266,006,603,433,276,581,246,575,111,323,760,286,998,
021,664,734,421,149,930,440,997,928,482,147,017,381,626,271,223,569,933,060,
687,486,263,061,999,783,414,208,522,252,940,853,776,761,213,470,561,069,076,
548,674,410,849,122,797,289,950,369,805,325,715,759,128,198,631,175,160,929,
072,083,046,509,924,616,686,558,028,886,602,822,257,343,444,329,728,882,631,
130,375,184,188,316,148,730,756,679,094,422,009,050,247,365,591,704,151,876,
474,235,928,430,739,102,238,733,559,332,910,442,439,965,872,251,929,247,810,
633,799,723,539,476,077,455,924,336,876,913,988,531,592,233,338,292,786,025,
227,305,759,294,026,513,561,657,113,962,622,603,586,743,620,585,857,290,620,
029,382,104,469,580,417,868,744,768,857,427,431,535,384,089,637,383,198,307,
239,030,170,560,810,915,120,354,385,432,519,387,410,399,145,515,174,576,070,
505,583,790,097,711,735,269,382,109,735,798,839,875,552,925,745,139,248,740,
234,824,479,386,635,943,065,753,455,997,818,742,667,829,118,295,748,563,397,
280,376,782,633,331,475,245,093,859,380,943,486,788,429,684,878,769,456,957,
784,113,351,929,792,073,851,196,580,728,823,422,455,318,615,540,625,651,340,
350,978,369,206,256,248,152,975,164,036,577,207,621,374,517,675,971,248,728,
629,543,412,908,169,194,317,394,547,312,867,105,845,186,264,435,720,566,831,
630,156,787,318,008,358,888,761,630,079,596,683,937,115,065,818,440,536,359,
902,923,444,549,897,088,139,016,041,471,014,394,559,368,512,940,457,782,574,
300,327,625,412,921,223,165,107,286,980,522,359,197,291,557,808,683,763,614,
427,208,199,413,460,924,779,985,897,374,882,581,504,110,425,703,625,191,040,
674,042,146,709,191,792,301,210,102,975,537,187,519,743,448,042,055,488,467,
843,518,108,352,145,621,068,868,157,109,014,437,853,639,454,027,773,172,527,
751,667,368,580,493,090,281,401,026,253,680,407,828,157,512,949,324,172,705,
162,537,056,466,213,962,385,576,834,963,676,241,685,705,336,157,762,941,975,
615,379,847,878,749,236,602,556,580,236,089,501,400,363,981,240,013,848,973,
866,999,476,518,532,532,755,934,332,284,025,322,001,827,037,804,796,210,505,
104,650,542,497,827,216,420,137,586,650,747,242,069,339,016,864,428,517,132,
306,907,416,232,638,007,811,288,854,288,967,986,644,759,889,332,891,119,327,
354,234,883,034,835,477,835,930,221,396,886,277,054,727,069,610,089,560,096,
326,412,985,606,918,381,300,947,553,586,049,018,984,018,943,258,038,336,899,
673,259,491,737,645,293,116,052,825,649,040,321,184,409,094,179,606,366,004,
831,032,775,356,506,323,696,706,373,258,252,730,530,543,857,438,555,443,746,
295,653,160,071,815,414,972,976,432,980,288,015,040,651,137,031,600,022,283,
009,540,045,840,038,101,134,381,957,088,750,737,764,766,875,820,395,819,506,
069,831,326,012,706,571,066,841,225,099,143,926,511,001,318,056,687,043,551,
820,959,615,846,756,898,162,443,430,853,721,387,623,471,720,054,175,006,017,
446,273,735,286,999,160,246,139,562,035,326,103,015,716,079,336,139,972,571,
915,671,045,113,619,076,676,940,868,574,824,124,837,404,579,507,005,591,947,
264,942,706,209,428,921,448,301,441,796,338,454,761,436,188,150,578,040,944,
637,621,355,566,525,858,701,697,124,647,541,657,268,869,766,690,350,788,123,
228,304,140,539,461,621,983,009,540,815,457,687,387,733,533,717,245,644,902,
218,944,396,019,329,599,226,782,713,644,182,162,821,476,301,752,133,795,170,
098,021,809,847,970,695,030,153,208,841,265,928,535,655,182,475,820,477,880,
905,992,485,452,383,455,163,203,171,515,537,094,140,588,516,989,714,884,400,
905,947,769,602,873,366,937,826,290,363,786,032,308,419,371,720,816,570,607,
578,284,423,142,312,164,906,677,814,429,057,182,080,953,997,762,768,535,008,
293,370,362,789,170,807,178,579,624,449,863,886,693,396,364,032,699,743,916,
759,662,368,978,738,196,704,258,747,688,097,390,993,322,874,388,848,848,434,
555,988,526,453,200,109,242,042,004,156,905,349,418,977,388,894,584,848,962,
902,927,874,537,422,411,230,106,659,844,445,546,684,331,429,581,255,423,874,
913,273,440,337,073,655,665,153,828,307,150,049,627,523,492,664,619,264,627,
405,554,122,428,643,711,992,249,908,836,092,438,819,182,128,440,478,797,512,
280,239,098,685,266,255,302,293,672,820,503,469,283,242,938,535,627,008,893,
889,391,884,565,853,463,817,987,740,072,150,691,865,193,101,361,952,987,885,
960,945,103,737,574,971,793,947,827,023,818,350,157,392,339,915,302,780,493,
553,494,713,390,321,872,092,508,988,636,609,235,914,309,153,809,512,853,942,
310,728,610,472,787,426,652,246,859,176,340,532,726,762,261,995,314,697,528,
511,450,308,372,829,211,202,498,943,432,548,650,332,160,396,796,389,313,570,
845,737,596,600,896,627,599,479,660,190,818,499,096,561,829,065,560,967,430,
840,706,037,921,731,454,492,648,042,135,072,096,116,629,448,356,236,974,281,
770,541,270,071,236,935,631,422,510,239,726,322,511,133,878,035,392,607,197,
468,976,701,660,627,211,341,190,260,791,087,517,334,645,531,586,274,400,874,
592,190,711,617,575,866,074,004,637,550,663,503,612,296,360,467,869,208,351,
190,201,985,563,819,359,700,331,243,546,582,878,247,954,436,608,038,211,248,
982,897,965,567,289,217,237,172,738,451,008,687,643,605,940,028,726,085,546,
486,913,001,846,881,140,247,059,871,305,823,611,495,451,323,663,716,368,409,
379,161,021,042,223,628,306,133,583,857,033,352,514,911,351,332,510,790,816,
519,489,942,276,315,928,407,621,127,928,740,366,254,888,565,318,005,094,498,
945,223,031,060,514,987,027,077,685,602,271,829,562,535,173,580,348,640,462,
277,615,777,981,860,282,996,844,958,342,690,542,999,591,197,387,530,334,532,
163,490,656,584,041,465,998,070,841,791,975,297,408,142,389,107,783,704,909,
954,497,086,621,564,653,840,794,179,719,947,931,250,220,511,698,279,606,405,
610,330,324,481,322,435,832,725,983,525,001,746,970,944,971,595,742,876,500,
394,285,121,171,941,374,724,359,689,444,518,221,040,938,160,486,321,803,599,
705,157,247,163,464,435,745,302,618,341,031,718,640,020,938,764,459,514,140,
481,443,162,300,184,559,669,622,447,776,218,028,916,901,209,302,744,453,578,
558,317,340,799,916,732,898,652,401,911,403,492,721,157,953,480,347,715,409,
773,893,534,689,576,290,642,198,656,896,982,284,921,782,838,328,140,107,231,
746,315,274,587,951,146,956,968,815,995,999,712,861,664,503,382,898,958,753,
038,319,579,737,315,145,483,374,758,797,409,538,383,873,079,776,485,973,184,
015,078,874,233,637,518,082,030,905,255,066,529,950,060,278,653,606,597,210,
890,401,872,342,085,643,640,117,365,886,140,609,466,078,705,082,820,348,769,
618,283,674,220,190,239,157,762,014,147,167,134,147,046,600,687,237,773,836,
607,988,971,125,307,394,141,385,862,419,578,434,481,327,587,695,221,783,452,
802,087,901,858,264,637,233,840,206,142,090,833,233,769,761,091,408,180,722,
674,258,477,060,664,427,260,936,290,468,240,796,284,504,960,908,563,613,158,
579,394,386,185,695,198,268,185,016,819,704,283,323,139,848,436,579,703,802,
959,481,172,107,100,162,494,910,186,928,425,537,970,996,281,992,908,464,479,
441,259,970,703,452,448,636,834,425,557,590,192,684,324,765,982,318,948,659,
167,124,476,544,858,553,495,353,450,939,830,692,764,249,827,070,785,269,497,
229,177,301,121,090,495,631,771,156,606,014,638,427,918,670,893,071,481,728,
793,034,534,156,188,773,154,780,689,087,689,057,436,737,132,314,410,800,880,
182,928,247,003,729,578,322,188,247,550,376,840,767,976,802,207,561,645,543,
481,674,957,664,443,101,001,712,555,768,156,461,301,196,041,017,183,286,664,
014,686,075,452,780,620,567,040,445,116,199,464,779,335,925,670,235,611,042,
560,079,263,681,772,495,168,345,383,961,130,943,965,949,382,500,854,101,335,
707,695,413,636,986,429,973,001,409,787,799,181,696,124,136,728,485,595,002,
549,192,039,608,369,687,518,797,531,847,306,152,411,784,806,345,911,515,476,
928,872,862,847,264,289,653,130,646,984,009,542,052,564,148,442,579,482,268,
670,090,493,830,790,776,241,384,770,213,411,021,332,555,689,070,012,994,261,
787,270,717,548,876,983,562,116,011,569,261,550,538,073,491,328,743,316,751,
813,523,550,303,088,853,730,833,268,696,407,484,391,549,511,548,273,304,861,
601,040,376,900,555,540,094,639,585,843,945,120,645,279,284,175,572,694,897,
002,450,182,303,463,923,998,194,239,779,836,975,673,464,877,763,667,905,751,
987,999,690,447,075,737,702,242,147,024,456,173,416,836,710,253,015,639,191,
775,012,000,380,873,503,274,272,116,354,539,843,512,948,399,959,225,031,969,
805,318,181,254,792,359,031,512,831,864,107,347,101,186,809,757,463,175,330,
294,972,550,762,513,909,608,028,645,867,846,926,048,453,540,576,381,893,363,
733,190,080,642,578,381,569,109,244,525,427,906,507,210,004,200,178,234,728,
828,090,072,702,730,521,643,645,086,118,958,693,797,601,715,227,560,910,780,
599,419,743,760,888,311,720,285,085,091,323,061,861,851,675,288,583,688,867,
680,626,301,822,731,811,817,644,990,214,894,472,943,399,514,279,178,022,834,
920,492,570,435,485,458,002,488,354,487,505,856,378,196,075,144,156,961,729,
625,076,960,476,373,665,462,420,773,626,854,618,146,027,546,897,712,179,101,
184,766,021,809,506,114,646,713,005,247,302,858,400,154,356,500,012,065,549,
045,467,799,229,690,783,918,138,031,633,035,823,141,733,112,746,592,803,860,
418,895,060,644,460,943,545,830,016,745,833,838,353,417,302,556,752,842,096,
223,757,266,667,054,373,233,867,313,593,833,728,768,454,679,802,710,866,662,
550,348,971,646,151,192,507,286,588,324,389,983,757,519,662,554,810,358,378,
803,727,847,053,780,236,578,644,787,428,793,075,936,911,987,479,199,320,520,
740,011,078,400,870,009,195,535,189,628,174,828,386,174,350,096,181,573,491,
554,232,837,426,806,315,008,125,807,959,398,800,826,881,196,149,563,677,667,
379,063,580,329,618,304,041,548,642,801,659,384,074,862,644,409,147,480,225,
382,629,106,068,697,962,609,049,647,952,723,153,452,039,532,012,695,007,220,
136,484,721,492,055,514,817,269,123,013,873,923,879,025,025,344,095,553,620,
583,915,921,884,453,494,594,934,497,251,242,797,787,104,198,476,543,251,809,
744,599,005,633,879,802,895,869,317,811,462,410,172,129,887,176,826,047,817,
825,873,075,315,205,726,236,294,491,479,645,317,607,386,409,260,032,727,143,
136,814,672,116,685,333,102,366,745,805,266,763,255,360,543,459,170,416,089,
047,713,666,869,317,610,820,509,489,462,967,022,102,128,485,720,466,327,340,
573,346,913,445,672,494,364,614,218,681,001,791,021,517,141,759,894,004,492,
543,020,415,272,026,522,066,060,173,593,005,730,620,103,649,355,943,647,240,
438,058,150,113,533,716,231,403,786,397,372,673,934,467,698,795,532,373,512,
170,563,961,739,662,161,961,622,629,094,279,697,054,105,268,308,022,536,645,
293,783,009,103,100,417,960,154,900,564,560,354,431,218,055,766,460,044,527,
108,964,420,850,506,925,986,626,444,833,752,077,379,703,826,238,555,556,045,
973,281,042,808,800,690,632,770,528,474,022,443,493,891,075,760,380,656,895,
938,919,981,883,220,498,053,663,998,130,110,959,643,847,105,617,619,695,913,
095,487,023,435,395,938,949,696,499,122,345,186,439,501,226,600,008,170,415,
877,400,036,183,511,053,213,170,923,052,410,478,972,220,369,229,423,634,837,
036,868,495,482,500,548,465,788,078,445,614,357,073,012,374,552,127,480,075,
273,644,339,158,983,757,727,245,043,578,788,402,175,990,079,261,404,391,882,
750,867,487,384,158,450,792,104,671,516,548,564,666,164,612,360,983,002,464,
776,881,179,163,222,667,965,763,273,881,563,225,344,789,040,896,084,277,655,
806,273,727,443,016,918,582,701,730,009,921,462,072,260,187,614,654,455,614,
130,187,932,562,572,624,396,160,397,702,687,811,893,098,380,391,483,039,229,
183,443,592,511,900,055,096,707,271,745,623,284,991,225,195,942,054,941,385,
973,938,836,766,359,073,079,828,896,814,317,029,608,823,520,183,251,626,560,
909,950,640,730,581,652,633,680,583,009,395,458,804,893,136,424,885,997,581,
984,833,584,207,606,202,340,307,871,193,488,802,156,281,385,551,243,774,959,
733,193,919,621,527,855,094,532,047,480,533,803,264,381,517,566,705,263,173,
116,747,146,943,006,543,310,737,008,097,203,979,192,705,697,385,180,564,160,
134,912,274,779,268,755,715,709,828,784,176,318,861,147,051,297,795,783,071,
139,334,302,819,857,306,002,678,056,286,878,106,025,199,364,278,818,856,899,
839,662,054,141,917,080,080,847,023,436,510,085,910,787,259,930,466,702,231,
306,765,070,172,470,378,901,791,735,955,050,534,860,560,838,793,837,504,520,
648,925,142,805,688,541,169,228,630,250,698,713,432,494,362,851,087,306,390,
405,882,027,417,428,655,055,199,337,375,190,498,003,270,110,342,520,403,678,
158,454,930,284,779,575,475,999,041,562,213,107,065,156,477,591,550,375,919,
267,610,273,967,901,683,812,751,033,720,245,068,963,334,517,419,348,685,089,
784,177,541,025,953,301,468,896,258,387,403,769,520,941,074,681,776,940,066,
919,601,693,935,655,088,447,759,297,701,802,124,346,301,813,514,269,581,495,
464,351,012,175,925,685,411,055,118,019,363,477,375,798,185,517,356,707,059,
308,565,880,794,026,648,000,332,426,832,183,632,594,859,731,184,726,850,960,
386,351,788,694,127,769,770,903,900,651,853,933,898,199,057,122,412,594,995,
995,801,393,727,424,734,920,092,719,173,749,671,841,635,252,142,628,292,502,
030,794,037,146,122,668,786,996,401,865,683,751,611,522,816,925,693,563,362,
036,950,912,309,777,121,232,416,590,449,581,367,852,009,367,108,854,633,884,
482,625,837,438,170,043,954,472,985,861,017,715,193,208,694,661,798,288,579,
247,330,307,387,961,221,908,559,888,027,587,938,369,157,913,214,069,377,823,
371,768,940,650,350,731,210,059,320,062,573,464,723,154,980,539,809,747,300,
195,052,224,109,891,620,356,979,167,544,751,071,026,929,050,013,440,212,724,
277,956,763,176,397,253,064,619,215,841,867,561,188,912,052,188,135,929,681,
555,652,704,449,214,717,063,943,599,000,451,159,831,913,833,837,379,689,765,
270,566,527,684,208,485,859,292,984,910,782,268,683,416,365,848,325,081,454,
239,308,629,674,838,208,556,507,311,127,363,918,391,519,515,333,496,994,027,
653,679,444,237,419,874,831,390,133,748,271,650,396,134,333,053,913,340,950,
619,042,679,252,338,624,941,148,314,017,824,048,660,942,784,167,740,455,325,
244,587,607,428,689,225,583,923,210,249,014,843,387,095,606,385,452,024,166,
222,698,806,356,703,315,852,954,619,649,164,730,725,901,974,432,210,702,723,
398,169,944,245,190,957,927,508,242,400,455,530,717,766,268,738,557,471,150,
798,227,141,422,357,533,962,715,168,173,210,367,431,365,734,232,978,240,569,
387,279,296,478,833,678,667,426,123,440,296,663,131,161,750,420,719,734,484,
837,152,772,048,397,984,418,021,820,785,365,489,470,290,998,826,451,402,596,
753,860,472,320,202,136,588,173,175,657,142,953,320,958,296,191,716,979,759,
691,345,680,148,513,085,768,700,888,688,979,882,614,350,481,904,162,349,195,
486,090,474,685,539,027,982,026,406,042,078,413,623,388,015,182,896,325,629,
175,336,432,287,881,676,457,147,847,550,178,268,881,574,850,447,271,104,653,
564,457,998,777,273,933,185,142,604,181,006,430,075,125,844,804,014,536,160,
595,281,095,368,979,833,668,869,299,387,561,066,608,680,220,240,656,774,185,
342,223,091,258,728,958,779,069,902,843,845,069,790,195,755,247,938,506,714,
458,915,259,301,925,076,250,360,097,410,450,418,219,928,716,638,684,099,966,
454,778,706,327,305,405,934,391,500,302,210,366,939,344,381,467,899,803,842,
156,456,060,686,069,253,734,920,534,967,443,368,607,094,537,812,336,875,687,
868,327,418,942,807,922,279,673,577,729,595,263,404,590,053,442,626,651,002,
063,277,064,553,875,095,806,201,127,201,879,061,685,709,865,526,757,732,130,
654,809,605,799,584,182,714,339,919,588,399,111,759,109,891,876,236,831,588,
244,777,823,296,927,021,012,526,690,229,782,393,178,353,960,466,431,231,070,
315,552,117,646,008,389,237,629,867,862,310,759,957,682,962,220,733,256,012,
109,196,577,217,774,155,155,332,805,850,320,137,071,816,976,073,586,322,213,
993,886,420,378,068,968,314,054,626,970,022,269,649,911,805,877,804,156,952,
018,067,133,527,657,009,481,417,527,994,224,269,775,604,867,850,738,604,288,
160,004,009,051,076,681,315,860,851,206,371,481,416,270,327,462,956,954,492,
556,061,999,347,552,026,495,622,251,737,447,461,311,236,505,791,029,685,321,
339,819,785,233,822,671,802,606,603,611,429,033,540,831,033,681,201,556,243,
636,288,646,443,612,154,202,679,189,058,136,161,671,298,515,356,185,169,237,
099,496,072,899,763,802,250,936,661,972,758,013,355,999,775,381,887,038,083,
158,817,860,863,072,191,467,373,601,186,796,335,477,139,265,150,942,707,825,
745,421,088,139,200,327,224,593,809,481,004,615,011,952,638,118,363,175,283,
425,915,426,949,303,578,493,328,014,615,806,565,308,666,644,502,160,313,855,
904,931,100,130,613,748,153,665,992,317,631,463,273,144,528,056,009,263,085,
313,146,377,245,866,487,715,677,878,384,536,857,062,986,723,307,488,564,423,
776,564,057,519,191,777,950,338,590,548,659,027,330,264,833,278,986,409,098,
682,479,670,475,708,561,127,995,616,998,551,283,395,459,428,385,155,913,689,
454,053,679,552,490,441,932,065,112,631,774,813,975,133,212,008,355,247,647,
686,237,635,235,081,394,679,648,819,736,454,652,370,441,883,468,811,822,543,
497,052,675,308,914,256,892,850,443,422,541,855,088,442,173,713,155,021,423,
189,733,884,328,908,068,559,122,630,436,076,986,620,552,886,083,814,522,948,
683,226,059,142,024,734,505,739,885,273,113,345,966,259,612,107,482,985,905,
399,528,876,608,183,921,374,566,515,133,385,093,733,936,350,558,555,718,358,
808,835,143,403,327,732,754,424,705,835,390,336,052,543,510,353,009,054,585,
065,877,201,144,042,938,463,300,373,784,100,054,464,557,250,760,340,233,219,
806,832,020,762,805,388,073,491,588,390,243,341,295,475,885,365,191,791,834,
621,623,843,142,840,060,251,171,304,269,702,521,314,645,112,174,723,161,240,
171,623,807,132,613,807,365,338,687,027,819,850,138,999,044,686,438,207,957,
342,631,172,713,453,651,688,154,345,127,067,632,189,810,166,001,419,739,518,
252,276,999,130,145,775,629,257,803,156,421,271,493,010,398,981,968,578,992,
921,644,726,797,550,504,463,556,381,790,827,687,038,194,238,567,646,075,596,
747,344,198,349,158,875,301,791,037,711,991,164,720,219,022,186,799,313,433,
314,120,616,974,727,333,210,717,683,236,684,955,427,065,245,327,109,646,783,
402,479,682,896,605,829,400,622,839,031,376,023,967,210,780,055,674,447,847,
298,684,969,670,719,572,352,124,770,861,423,102,197,010,000,059,275,488,656,
016,000,474,357,210,331,060,286,134,629,078,515,459,253,254,346,905,618,656,
162,846,202,267,531,364,444,457,661,160,262,615,224,307,692,819,362,118,452,
440,713,706,586,203,878,446,954,067,741,133,801,614,055,750,749,991,173,074,
339,499,463,193,406,049,785,647,954,988,986,626,319,858,972,594,220,499,411,
501,676,714,384,317,316,317,100,136,348,415,923,977,861,548,660,353,118,712,
654,876,081,170,226,650,965,911,373,706,356,047,298,646,747,904,512,663,413,
601,602,447,211,263,914,149,169,519,170,999,122,393,291,699,465,663,424,086,
733,973,545,226,954,966,161,770,583,549,496,483,734,301,188,487,458,867,517,
223,426,611,131,091,476,282,736,340,546,272,329,552,845,844,332,147,444,607,
726,396,686,288,780,755,685,656,447,178,083,967,480,640,501,999,069,485,325,
865,743,415,170,716,886,715,880,849,492,328,406,456,917,049,012,811,365,514,
028,842,619,296,349,336,051,199,622,972,152,392,767,955,663,532,525,408,612,
741,751,771,436,606,538,264,823,060,233,959,398,156,862,552,423,399,129,026,
582,305,270,909,666,873,748,033,151,666,560,893,054,051,696,630,680,290,344,
018,146,969,498,214,729,427,048,495,097,784,822,500,475,402,196,630,706,924,
315,490,010,398,626,148,594,557,062,924,533,562,757,192,520,253,985,101,036,
030,953,910,230,152,218,376,146,329,660,167,102,629,683,697,350,525,823,984,
022,209,406,959,591,453,371,835,153,377,243,710,343,212,014,610,051,395,129,
855,763,132,904,178,517,840,227,459,735,810,851,504,685,954,352,585,166,945,
922,282,017,532,691,014,332,047,252,925,319,153,133,181,906,323,561,094,636,
619,639,181,830,643,245,741,722,632,916,214,308,450,187,587,377,198,515,458,
557,128,509,095,117,623,369,991,554,192,101,503,328,207,287,361,472,806,837,
210,939,770,356,114,289,057,398,915,658,135,009,398,665,918,975,024,635,896,
903,328,089,532,978,204,623,296,051,379,485,312,578,953,186,440,964,809,714,
073,364,549,183,498,309,041,865,986,281,725,881,148,660,542,774,518,122,774,
310,014,710,364,126,644,884,976,680,152,742,953,232,672,357,726,193,534,527,
266,223,396,730,616,555,982,611,499,965,371,715,962,723,976,784,446,719,371,
506,115,723,217,826,108,293,069,073,723,945,126,006,135,571,124,855,728,268,
344,701,545,923,602,187,992,555,388,590,042,660,513,315,429,729,195,076,486,
452,949,719,567,877,709,485,516,467,874,958,754,945,819,605,702,963,880,873,
206,641,446,017,915,997,216,053,734,017,940,123,961,508,054,913,337,767,201,
562,525,532,137,374,102,366,770,184,199,171,144,151,807,483,064,187,447,072,
178,002,777,591,471,293,726,761,957,567,229,124,167,112,467,823,101,824,371,
437,922,608,441,624,108,140,401,952,984,690,099,367,715,215,556,123,340,039,
821,455,310,731,628,872,431,104,405,959,408,962,181,583,588,012,622,136,576,
842,515,431,422,042,117,719,046,049,798,890,466,984,448,252,214,701,138,199,
645,977,726,199,350,606,690,875,835,928,044,116,912,121,001,669,404,857,154,
389,622,224,094,599,199,174,627,125,090,450,196,862,304,923,932,225,364,973,
744,845,774,481,319,176,724,221,305,771,722,822,484,835,256,546,489,503,305,
768,877,057,989,369,293,768,805,013,844,349,280,649,944,158,631,100,027,983,
829,166,666,792,264,331,591,080,869,731,224,182,062,373,579,965,431,374,199,
893,763,040,057,478,461,993,948,029,110,935,292,173,920,649,843,415,466,816,
306,044,035,343,859,360,805,408,586,959,415,055,851,847,383,248,635,791,255,
673,606,705,452,991,703,366,238,198,496,081,727,270,755,368,081,661,360,564,
853,878,262,438,674,962,428,268,035,213,958,708,348,429,593,833,927,039,895,
648,625,047,900,829,296,978,382,329,133,622,774,366,608,467,008,451,118,305,
067,257,025,431,951,864,335,089,906,901,605,902,990,135,724,416,137,687,470,
922,977,801,693,084,178,266,481,887,505,243,773,154,969,786,887,806,550,620,
499,822,074,616,806,052,402,851,500,993,064,048,065,790,568,153,040,462,647,
697,636,201,519,378,009,376,584,928,126,966,198,226,424,133,276,184,349,873,
566,018,731,249,666,144,806,721,076,217,579,866,629,052,465,609,451,389,212,
073,718,296,359,604,628,354,964,131,572,304,029,447,310,858,774,316,082,216,
503,616,633,869,895,379,803,140,769,288,922,818,714,758,818,319,390,113,304,
051,311,221,006,678,430,705,262,513,303,408,507,039,059,364,606,386,449,722,
285,162,515,247,863,322,484,181,349,709,666,330,236,125,574,715,297,052,730,
839,122,470,344,180,668,772,213,406,189,009,900,924,545,788,188,435,367,173,
410,830,903,995,665,977,011,207,917,811,353,526,216,686,056,258,966,075,089,
964,967,803,471,196,249,063,227,181,584,147,783,171,069,871,839,245,389,384,
026,250,737,668,153,158,660,836,305,671,949,806,368,706,524,147,772,063,262,
167,653,213,327,567,349,112,074,727,507,264,905,831,450,868,755,975,091,657,
715,098,408,815,092,850,671,928,270,234,252,717,518,332,497,439,800,467,629,
193,401,734,652,347,184,531,837,482,246,641,908,307,262,633,176,014,443,411,
036,036,278,755,089,684,900,071,673,869,806,654,987,707,693,646,791,656,743,
628,695,011,492,120,502,440,028,743,872,801,317,480,518,298,764,671,549,507,
613,317,449,013,271,032,604,768,512,258,082,895,131,461,569,553,055,411,438,
163,453,264,573,786,318,097,062,376,246,628,028,089,032,740,278,230,656,287,
575,072,228,611,024,751,955,365,929,864,489,526,402,463,561,388,728,822,638,
752,083,457,259,062,818,752,199,649,734,888,284,719,736,654,810,773,461,131,
290,966,307,946,720,484,840,856,264,885,044,368,073,434,349,113,210,713,386,
425,823,822,450,785,707,030,860,003,879,486,873,687,910,124,912,416,421,216,
063,170,003,416,271,111,444,852,379,379,178,447,453,867,780,600,582,691,349,
872,467,287,632,073,962,706,416,147,165,618,203,603,711,986,314,692,210,270,
338,240,386,896,813,451,918,773,833,607,376,149,450,753,573,885,313,663,979,
337,385,107,227,757,619,718,050,469,830,147,949,623,185,639,112,458,001,661,
750,283,683,401,350,820,435,939,030,754,099,153,761,575,828,789,836,937,588,
178,396,859,818,402,679,939,449,979,120,164,308,581,962,085,816,947,350,305,
019,063,527,867,678,664,973,558,800,672,181,451,338,382,222,215,683,682,811,
054,531,029,068,968,891,444,725,975,264,751,783,080,121,545,953,181,322,377,
913,759,695,554,754,971,598,411,612,759,122,235,176,484,594,642,897,576,727,
430,404,040,582,155,115,489,312,787,162,852,304,260,135,714,851,247,047,858,
424,655,809,743,840,668,222,565,207,576,173,862,695,331,268,206,971,050,483,
823,193,814,930,354,117,120,872,429,882,797,408,454,748,489,325,097,065,203,
559,696,106,180,901,467,707,526,798,769,616,738,328,852,512,782,524,067,414,
332,030,781,368,711,396,062,917,945,043,341,627,959,966,818,176,700,108,174,
945,757,402,439,776,092,588,145,313,297,429,500,508,796,695,131,838,166,436,
940,457,113,622,513,853,904,880,991,186,530,648,650,267,659,261,426,108,239,
582,690,562,669,648,660,768,707,784,748,745,835,012,735,553,080,210,384,596,
576,528,215,410,178,662,255,172,232,810,760,503,212,045,304,425,024,916,417,
641,773,840,857,906,992,517,453,002,927,313,687,730,949,346,766,693,770,726,
080,882,840,491,789,161,953,530,468,752,278,488,944,264,611,274,715,568,073,
237,289,149,769,870,568,314,856,778,388,282,189,968,779,391,630,333,607,202,
189,836,076,214,806,595,254,341,361,658,364,363,346,382,317,996,880,885,563,
152,478,024,467,817,923,831,250,125,820,060,595,178,112,375,742,717,785,498,
955,963,888,704,314,271,161,400,022,745,324,683,652,983,379,989,848,980,930,
180,976,809,160,733,361,363,659,068,423,742,086,562,057,717,390,416,791,396,
653,163,348,328,725,996,126,361,552,063,555,036,174,395,108,062,432,580,808,
071,371,101,378,039,737,583,974,606,549,793,729,653,025,652,836,188,536,214,
698,606,284,357,334,786,440,370,855,313,435,726,295,834,536,874,433,551,652,
384,985,104,829,464,233,166,824,828,078,048,190,472,192,698,940,736,978,211,
451,437,136,085,464,159,275,360,843,102,593,559,233,839,911,213,383,677,543,
999,125,280,890,083,684,426,825,364,998,544,533,292,919,734,379,942,599,890,
603,134,536,958,667,135,395,534,094,157,148,781,042,647,261,731,880,700,242,
791,371,684,457,049,925,503,532,105,834,253,820,379,743,717,453,868,529,570,
937,106,525,586,428,856,889,834,782,122,238,177,929,408,693,248,735,139,908,
714,601,817,060,731,908,619,825,014,636,511,882,543,820,198,481,276,484,206,
008,684,890,531,501,039,208,800,008,438,712,529,150,715,589,833,776,091,283,
616,758,995,581,856,486,905,052,225,029,323,983,241,374,389,864,672,621,824,
053,470,884,681,687,805,935,558,829,593,312,448,216,548,263,717,339,195,123,
901,533,251,154,001,632,918,869,361,457,142,501,489,888,618,949,767,382,583,
228,631,262,546,328,326,126,367,253,425,823,920,047,958,673,517,075,305,774,
076,850,808,218,947,977,317,608,270,519,136,075,250,084,218,323,144,243,886,
159,368,659,143,435,666,397,293,087,205,049,412,551,411,954,597,144,630,816,
880,662,502,525,243,729,394,957,133,909,744,179,380,654,976,626,899,312,963,
226,200,148,186,702,310,113,956,021,871,023,980,426,202,136,667,296,417,104,
358,428,222,106,320,451,000,624,048,048,199,010,531,380,555,284,315,884,719,
941,508,409,332,007,400,234,050,340,936,985,230,674,238,653,125,977,075,145,
377,019,749,602,903,206,609,492,455,508,979,463,225,087,811,742,090,372,165,
882,766,033,825,655,515,320,524,872,434,484,511,057,880,706,715,562,766,942,
737,658,327,701,969,006,910,314,701,462,245,687,013,108,661,919,069,451,927,
355,236,200,927,392,342,938,779,715,439,331,751,987,579,529,168,662,637,029,
566,750,169,919,125,470,505,234,404,422,715,985,731,249,918,006,834,864,621,
924,545,804,059,775,865,688,363,588,723,437,116,005,625,258,894,436,426,570,
549,417,274,901,531,519,182,277,085,532,922,892,948,746,129,510,269,341,363,
280,184,224,473,223,101,414,252,082,754,027,519,302,153,857,516,992,273,225,
925,504,854,061,513,577,925,982,396,573,456,996,677,760,722,289,612,482,761,
260,837,932,421,114,319,811,986,640,075,078,248,946,514,947,180,514,764,993,
374,170,292,600,296,833,452,445,599,686,786,757,170,049,820,118,513,445,266,
457,164,805,804,934,478,103,777,044,366,564,992,420,404,683,933,119,061,024,
564,185,117,856,865,063,123,149,270,896,399,213,539,124,819,120,718,642,175,
240,490,579,268,848,825,723,403,814,419,323,204,627,979,054,097,077,769,684,
378,869,660,834,928,842,232,481,958,950,941,071,222,845,913,774,173,667,300,
140,034,415,937,843,397,579,399,078,542,456,778,799,170,660,364,081,361,349,
359,296,866,238,702,965,998,076,549,968,793,878,728,639,522,227,958,792,735,
754,052,442,961,571,991,469,766,547,685,370,693,109,859,749,668,561,343,427,
238,928,573,184,955,937,888,855,347,979,519,589,237,464,210,058,242,726,585,
236,837,404,776,657,407,300,900,455,000,279,442,103,125,534,942,468,782,778,
863,198,920,168,329,377,429,091,508,606,929,430,903,561,245,369,147,777,748,
153,840,354,638,030,390,413,308,118,770,370,957,035,321,269,455,813,745,650,
522,450,716,747,275,561,174,896,619,718,300,698,750,696,231,522,491,676,087,
644,371,051,414,298,346,538,551,241,479,412,818,089,829,173,603,637,814,324,
367,610,639,873,101,294,923,178,914,616,640,894,574,638,485,672,341,436,391,
289,690,419,350,302,302,079,860,293,065,400,377,039,842,067,372,588,646,311,
323,670,735,494,120,300,203,792,475,276,726,590,411,228,726,889,108,557,216,
996,799,931,012,340,593,364,424,664,142,309,239,757,472,645,647,980,989,047,
320,735,579,287,563,254,529,502,857,834,451,504,806,519,650,515,415,061,667,
735,512,949,472,093,467,309,144,267,723,877,589,569,490,394,061,770,294,337,
927,755,600,543,910,310,677,135,116,096,893,219,611,779,272,583,744,266,916,
609,796,579,324,579,037,309,415,988,340,987,312,050,633,873,220,691,110,864,
306,524,722,108,294,223,109,277,361,247,633,211,038,283,193,272,336,583,445,
827,176,672,980,165,596,898,619,848,154,531,238,933,185,324,990,707,170,700,
764,495,028,827,185,284,148,785,448,172,862,752,009,926,534,261,093,000,982,
404,386,056,030,384,148,154,069,660,294,035,360,028,780,638,073,975,960,998,
520,822,687,677,791,114,803,975,368,275,228,038,194,235,572,758,275,599,564,
105,867,003,684,336,473,301,557,117,862,491,028,119,927,200,112,439,500,931,
795,073,582,984,300,502,215,078,201,538,469,402,628,056,043,089,557,348,670,
663,130,404,419,844,002,094,769,420,080,944,880,397,501,223,172,942,327,518,
708,166,266,997,688,612,106,020,004,874,381,616,749,003,463,475,462,140,673,
073,214,635,363,014,335,947,673,705,477,570,519,687,650,586,499,427,369,679,
219,651,212,727,391,187,772,166,285,303,069,935,381,423,249,382,208,338,748,
081,139,992,260,352,019,109,273,423,789,870,121,649,979,664,071,651,416,374,
776,780,954,748,016,524,485,814,500,657,781,065,951,091,123,073,837,794,010,
510,162,570,022,608,948,549,561,901,325,756,508,001,867,286,174,529,867,147,
901,235,086,827,477,997,102,461,937,116,863,114,776,974,403,196,224,845,042,
377,379,436,982,729,932,279,885,049,107,804,824,924,177,759,379,681,438,511,
487,727,794,603,455,297,672,214,303,084,907,549,160,494,359,298,140,387,154,
113,565,782,669,919,283,231,953,759,658,245,334,393,717,037,025,942,804,297,
375,486,539,038,095,655,542,680,156,566,698,258,081,837,900,534,744,585,603,
958,216,607,795,645,253,319,364,366,963,406,048,157,194,930,698,384,049,292,
667,749,034,581,318,650,410,757,613,385,458,410,789,700,352,351,667,444,669,
998,031,568,435,604,461,936,950,700,020,452,314,334,772,389,602,447,985,244,
044,515,003,995,366,065,165,657,024,535,399,055,808,961,194,120,990,297,360,
923,579,518,212,640,100,226,822,956,303,244,377,753,783,460,310,231,415,871,
464,007,622,175,023,067,395,519,515,496,869,860,691,435,385,804,080,196,727,
070,921,879,541,672,961,751,977,654,736,278,535,278,553,793,460,448,442,203,
788,130,043,549,075,512,868,654,392,717,512,407,579,705,369,228,540,295,376,
029,579,907,633,370,963,849,403,513,098,353,129,201,048,365,591,666,956,851,
655,931,160,240,703,940,276,702,038,695,996,351,604,011,154,572,532,785,577,
727,328,767,476,443,208,635,183,830,641,019,209,044,468,523,246,694,405,742,
985,492,413,397,838,112,078,890,529,898,584,514,240,703,912,115,137,994,605,
064,042,212,836,780,052,752,005,334,500,539,418,065,694,131,886,172,242,259,
784,328,705,285,483,392,617,442,397,714,435,887,535,116,879,167,255,864,445,
347,236,556,317,530,484,021,752,144,428,029,864,561,850,855,174,922,206,349,
637,576,907,883,390,702,421,869,123,746,718,945,535,532,597,653,538,441,534,
847,814,659,775,953,418,023,474,247,944,391,531,809,624,379,601,130,734,264,
948,612,065,310,392,894,221,432,915,774,623,169,024,209,556,857,678,806,799,
926,336,334,992,316,590,176,098,093,755,514,288,205,428,683,071,401,950,877,
969,113,884,917,373,330,646,310,545,589,438,091,851,122,192,990,164,158,279,
931,885,188,789,320,252,748,413,979,127,464,239,819,781,477,579,551,611,453,
577,352,797,531,145,951,471,311,433,017,736,523,113,131,039,983,939,001,492,
515,785,208,166,271,726,489,066,904,433,588,564,795,942,228,708,773,558,222,
982,241,308,380,418,011,825,484,417,201,019,491,506,249,013,439,052,778,912,
771,959,664,348,901,102,589,295,982,799,289,491,989,608,477,905,412,346,465,
413,479,546,202,979,172,149,448,161,306,519,903,371,213,056,208,733,638,874,
793,039,735,049,066,119,855,294,983,182,923,953,683,002,274,910,755,037,633,
157,809,840,638,348,956,499,449,849,907,180,422,790,042,293,074,989,378,958,
844,928,041,392,636,237,375,910,470,366,042,930,188,564,733,269,566,667,696,
363,344,794,692,543,374,042,553,604,984,789,873,218,390,614,749,509,919,070,
204,656,508,759,798,721,124,762,846,678,131,183,483,463,853,864,010,275,138,
415,936,330,075,814,224,420,622,479,660,329,957,635,410,827,708,134,240,043,
246,138,011,876,533,554,252,666,090,778,401,777,849,549,032,756,607,817,032,
731,867,226,358,274,707,514,305,782,083,458,337,176,256,339,551,082,174,049,
943,597,572,359,047,705,520,686,079,489,995,962,576,286,560,225,080,992,100,
830,204,710,215,290,008,946,657,658,123,167,990,958,253,030,461,824,572,699,
374,454,741,060,428,829,224,641,641,080,597,784,550,857,475,342,344,020,913,
107,464,641,727,800,666,512,027,947,520,198,460,531,384,406,991,891,639,082,
118,214,747,879,937,148,248,942,277,924,856,231,406,247,401,738,093,967,487,
409,243,851,104,129,103,911,376,824,406,124,407,249,094,228,573,460,544,348,
661,753,838,445,225,590,145,111,416,375,016,756,526,715,996,319,811,283,085,
170,900,085,711,818,463,298,589,602,267,572,569,992,320,881,123,085,336,949,
565,044,623,600,905,437,087,223,864,411,328,482,275,694,254,328,021,436,307,
234,341,338,296,357,954,148,768,452,138,135,733,071,195,466,039,488,627,498,
610,845,553,230,660,914,699,737,812,555,413,682,996,658,407,263,164,037,823,
105,283,060,315,542,468,448,073,487,956,168,452,770,030,848,573,815,923,131,
211,124,359,704,216,634,288,805,422,717,033,484,183,399,538,509,709,555,623,
023,847,360,771,247,429,140,620,813,907,248,705,546,238,861,509,227,727,500,
845,804,859,231,193,500,395,582,605,710,179,866,839,555,228,891,283,690,834,
815,974,973,453,150,549,521,196,347,364,173,887,721,659,316,038,996,843,094,
893,208,624,876,043,274,789,078,660,288,082,926,396,054,602,820,242,011,533,
896,062,125,649,744,533,775,166,943,410,520,060,163,334,316,428,286,712,669,
891,038,774,803,706,742,499,272,314,671,672,667,828,367,154,897,251,947,833,
184,461,658,043,202,745,638,652,657,294,436,487,416,580,483,121,476,515,968,
532,382,401,982,915,927,687,734,242,822,716,153,626,711,895,877,552,153,128,
897,053,163,388,683,688,597,290,400,808,017,785,928,653,758,296,497,716,938,
505,979,897,908,287,152,149,553,493,720,724,338,248,356,499,189,127,544,466,
767,814,118,420,060,544,765,787,876,339,325,850,167,359,075,548,217,485,831,
496,870,066,978,580,155,866,523,984,125,034,151,549,191,519,464,084,439,104,
776,113,490,373,874,645,337,829,007,958,809,719,375,088,828,128,307,024,339,
896,259,352,624,899,775,089,595,548,753,314,004,956,202,438,048,371,868,748,
335,681,244,939,026,374,595,189,192,105,336,436,336,277,558,467,230,998,491,
632,813,113,205,559,877,101,507,339,484,533,145,210,622,906,918,950,545,440,
947,909,930,980,774,966,202,010,274,432,931,637,549,634,011,599,666,324,366,
608,602,852,541,314,776,667,998,663,075,420,278,693,707,959,173,383,978,656,
559,766,534,968,959,213,308,451,877,151,609,278,823,609,431,423,849,937,386,
587,728,519,144,461,439,397,834,995,107,536,847,341,240,963,434,537,573,915,
101,757,570,280,724,374,973,711,624,616,019,616,625,811,912,161,555,621,364,
161,559,553,109,245,887,117,836,116,910,696,942,044,338,801,849,032,229,542,
188,847,854,309,206,788,188,744,117,357,391,149,160,713,350,338,952,549,620,
781,770,466,161,420,205,835,502,729,823,781,724,497,610,314,143,086,095,591,
712,745,096,310,435,006,121,740,024,403,207,758,893,079,853,798,456,521,434,
017,915,341,154,677,605,465,023,056,511,379,514,831,122,832,854,435,106,118,
179,341,417,601,078,002,931,585,180,791,545,064,498,412,064,287,805,468,619,
003,824,687,481,808,711,532,245,444,104,243,309,682,938,471,118,530,793,388,
760,495,405,405,417,507,894,604,479,632,103,480,722,385,789,856,758,722,389,
675,397,007,464,962,219,260,182,735,989,429,025,473,585,294,891,043,152,802,
432,972,202,825,148,947,355,037,428,894,055,490,313,033,666,108,132,920,629,
906,538,634,011,005,969,541,895,771,623,103,140,123,938,752,719,099,594,043,
929,731,474,023,178,999,238,933,281,363,594,945,052,332,868,764,105,409,381,
389,916,939,871,958,288,144,775,651,619,730,392,532,452,663,818,194,710,256,
981,711,145,171,985,948,931,010,444,017,206,361,514,578,068,214,550,880,404,
786,570,817,009,406,868,178,334,631,984,914,116,844,920,692,012,922,994,327,
660,527,592,549,946,678,000,257,490,264,823,971,300,119,856,857,837,116,494,
775,007,863,949,298,283,190,723,453,270,086,776,109,316,798,516,950,869,218,
355,226,781,763,392,268,076,191,045,403,226,004,419,849,174,413,957,125,519,
808,166,773,845,013,877,492,266,457,436,527,509,771,853,472,189,211,850,072,
757,938,898,705,355,259,329,564,127,775,426,400,001,473,137,701,060,235,153,
751,384,977,325,276,466,587,549,929,528,092,190,440,366,084,536,328,646,735,
610,339,243,402,413,568,663,822,496,567,123,763,489,816,927,079,593,334,283,
383,827,195,822,234,974,838,053,896,748,651,341,859,866,754,844,566,560,050,
822,557,932,818,564,306,608,246,138,005,728,206,886,394,639,342,322,655,303,
262,887,145,457,251,097,177,180,504,129,319,008,697,017,991,544,948,145,457,
865,352,525,284,757,697,808,326,256,044,288,162,365,660,215,230,867,079,013,
878,271,720,369,352,265,142,759,732,156,518,426,615,547,438,795,218,568,460,
632,976,626,459,264,670,624,589,674,768,477,716,627,588,277,884,231,170,846,
358,086,020,920,672,280,593,061,228,903,545,374,278,256,797,796,798,213,944,
794,899,676,887,466,104,184,117,304,082,296,363,013,293,245,982,092,153,890,
738,620,961,578,829,389,768,947,216,596,817,972,613,637,943,764,219,759,783,
708,020,788,610,599,750,795,474,752,515,370,185,847,180,034,624,150,801,479,
489,671,510,112,353,051,884,954,336,691,595,230,656,668,131,756,614,685,455,
395,583,559,077,970,268,679,521,966,455,660,249,733,526,264,191,924,535,524,
014,559,862,004,915,740,703,281,390,638,661,648,555,920,821,134,708,243,672,
305,533,438,633,456,256,163,611,592,133,599,443,823,796,680,012,719,850,970,
369,036,618,019,162,305,874,009,065,667,248,768,386,551,753,439,610,243,878,
696,964,149,141,607,938,345,584,097,542,394,232,470,881,074,597,926,773,872,
736,784,072,736,935,800,641,980,874,495,042,300,298,190,853,190,596,599,306,
723,100,473,250,184,218,618,352,471,476,598,995,096,157,007,179,094,708,511,
794,244,372,949,075,835,153,590,311,411,922,700,612,796,124,314,839,873,333,
839,970,869,892,080,809,658,215,552,663,459,065,459,399,984,131,368,305,305,
190,883,978,809,889,024,404,911,135,432,888,956,832,077,009,700,256,311,786,
904,698,043,020,602,722,437,240,411,831,566,987,648,801,537,452,500,413,466,
756,920,033,245,692,517,371,457,351,120,551,586,151,099,463,930,967,906,239,
545,830,413,865,009,032,123,058,971,054,814,672,049,170,949,886,019,430,965,
458,240,263,240,749,614,772,355,382,421,122,340,383,265,513,336,482,453,887,
481,408,150,723,463,952,308,173,691,188,018,682,511,761,527,176,891,288,095,
860,438,704,812,224,962,218,792,006,393,695,643,324,188,131,571,537,795,628,
140,763,625,190,241,920,385,900,166,579,152,786,353,467,896,522,084,598,509,
211,929,056,760,216,303,927,881,198,526,449,334,994,850,707,616,903,613,571,
157,093,309,466,466,651,664,573,333,197,470,814,759,135,006,756,229,712,017,
492,110,194,272,569,850,643,767,049,157,703,837,133,451,185,718,169,924,259,
454,553,425,912,095,484,399,270,540,597,880,758,813,945,764,598,816,713,273,
445,876,427,212,571,556,167,958,224,905,143,458,613,736,122,492,583,063,794,
994,259,628,471,048,912,489,503,298,754,737,176,809,224,473,835,140,688,894,
173,809,790,975,413,427,652,693,213,756,050,799,074,572,185,932,673,000,565,
984,288,773,827,545,742,721,799,313,436,584,174,908,151,205,988,414,458,607,
118,846,089,218,761,787,837,456,086,480,237,324,712,705,153,435,951,866,471,
238,160,281,870,023,860,221,631,180,267,910,078,511,207,129,661,568,062,403,
211,985,463,867,097,594,044,024,182,691,815,327,497,170,864,564,898,464,066,
812,669,083,308,906,282,637,364,498,505,089,099,536,683,152,749,007,918,374,
025,660,074,741,015,234,786,618,878,682,152,890,683,278,789,133,673,709,755,
558,767,901,305,539,761,318,615,591,318,244,969,390,931,248,265,422,675,693,
633,422,169,598,006,893,631,686,880,383,141,578,654,127,733,857,251,500,235,
188,714,377,659,773,006,616,220,122,724,034,560,693,328,432,726,650,161,973,
430,228,473,995,687,967,299,434,273,410,809,614,979,163,097,273,310,543,367,
035,602,677,542,655,257,869,514,049,445,711,842,506,069,074,772,112,985,655,
705,639,230,962,505,056,944,713,515,581,869,334,558,446,336,775,392,301,577,
206,784,138,872,924,727,344,071,700,816,444,658,801,909,401,831,601,344,561,
316,507,215,895,477,729,988,592,131,715,419,543,613,263,808,657,412,874,637,
776,509,576,698,257,088,495,924,472,156,956,369,412,932,252,370,506,541,591,
399,232,571,397,632,126,446,947,323,598,694,545,033,416,831,079,962,473,136,
115,996,351,134,099,342,081,368,068,914,395,084,733,113,234,824,262,559,357,
928,194,481,478,988,006,046,639,336,392,920,550,326,582,483,624,305,022,262,
039,828,239,997,966,664,132,501,053,344,001,099,353,008,878,677,728,042,210,
055,771,543,393,492,530,841,136,095,062,123,787,100,691,912,211,648,123,361,
283,634,095,490,708,113,894,213,213,377,758,005,293,016,052,735,468,967,904,
864,840,825,613,649,056,531,134,563,351,888,442,803,234,210,936,379,324,387,
175,058,381,266,734,573,554,138,934,223,836,403,805,682,635,178,919,112,716,
791,107,774,866,429,202,514,793,950,890,879,817,957,243,957,880,598,983,621,
190,566,641,782,970,877,709,732,884,885,292,882,122,663,585,349,292,427,415,
780,311,721,806,891,777,394,501,038,085,530,037,686,001,114,314,404,775,772,
930,936,557,880,904,905,114,065,557,073,515,897,208,698,970,150,925,138,524,
886,352,313,073,914,496,274,830,125,024,605,987,525,622,710,796,172,667,642,
323,970,094,849,591,070,674,588,331,853,867,429,629,405,633,015,554,607,160,
783,707,165,154,434,996,551,673,819,027,743,440,694,670,543,434,670,378,676,
004,140,839,903,768,221,619,686,273,355,883,186,462,833,904,214,520,994,500,
205,556,837,033,929,897,483,775,321,551,755,113,562,834,001,135,000,268,342,
030,332,374,188,047,213,795,642,164,370,061,516,006,339,719,722,588,672,622,
504,422,313,095,144,338,921,876,712,430,724,848,751,687,113,009,366,863,214,
633,396,528,320,864,617,396,314,195,486,623,580,324,198,104,034,068,273,189,
012,363,652,664,005,879,342,660,633,253,889,649,767,210,077,886,254,584,073,
294,598,531,070,761,564,003,841,548,598,545,118,396,139,921,368,683,497,096,
620,326,442,373,691,362,973,129,953,544,956,349,082,418,670,651,171,899,433,
008,036,530,641,313,714,876,724,613,985,998,766,415,377,749,118,937,166,389,
758,126,024,942,044,619,460,122,703,697,330,467,463,322,959,493,363,384,529,
305,536,334,837,498,651,852,649,724,109,861,233,094,492,110,937,643,286,385,
416,210,614,096,519,909,979,288,204,638,799,003,820,078,316,045,912,278,514,
236,896,150,963,164,897,551,133,104,848,972,710,153,623,195,218,928,497,952,
382,716,587,058,746,572,867,862,396,835,696,913,079,508,863,374,552,469,284,
546,349,779,575,130,051,520,238,445,345,639,279,883,450,283,619,694,597,557,
171,428,297,021,756,131,678,973,033,486,476,967,095,837,365,472,281,085,085,
437,210,830,639,967,801,100,402,325,207,480,724,074,039,565,441,058,430,882,
042,010,085,389,735,021,662,980,662,397,882,456,584,253,845,439,595,131,209,
899,446,216,207,982,262,652,610,378,362,054,555,068,518,474,805,363,845,295,
335,714,873,536,716,418,845,713,147,941,677,427,411,068,067,451,668,810,149,
852,463,077,447,681,323,317,532,970,933,052,164,094,444,009,045,745,751,278,
413,479,312,270,282,508,055,701,419,788,074,439,913,548,954,015,745,209,323,
084,711,519,462,502,493,594,756,141,061,794,334,329,758,485,803,296,775,939,
049,113,726,010,448,503,259,383,974,422,233,920,891,676,954,624,605,187,444,
226,632,827,900,016,938,377,366,593,221,969,037,643,251,092,599,246,052,783,
036,915,891,703,820,423,096,480,620,295,926,968,402,688,710,167,418,619,104,
744,608,298,648,806,389,406,976,592,322,082,636,747,966,963,186,266,501,636,
203,182,317,736,845,025,181,904,286,972,884,414,295,088,911,544,648,633,791,
017,983,923,313,864,698,244,839,890,208,932,996,948,409,241,333,332,330,268,
029,520,954,189,743,507,515,837,876,264,543,047,488,937,021,212,676,499,513,
144,731,951,634,911,620,925,082,790,823,183,199,699,223,181,527,817,280,881,
456,891,951,013,442,091,090,207,413,491,265,702,060,393,153,150,801,436,138,
634,136,983,565,735,847,868,889,496,500,240,099,366,836,419,901,351,090,286,
376,570,543,810,384,155,378,571,232,145,743,356,794,977,997,125,900,535,837,
070,089,697,402,997,366,016,167,527,672,155,931,246,034,261,443,587,933,697,
605,610,433,316,364,176,836,389,813,507,588,292,585,133,806,246,911,782,189,
217,965,192,952,674,011,518,627,596,184,170,826,417,041,301,263,058,740,971,
443,873,555,252,104,131,949,897,659,310,660,042,623,028,709,181,326,031,369,
784,146,548,086,440,873,864,749,700,507,828,844,640,003,807,906,950,901,054,
183,582,779,744,661,789,818,869,916,228,967,269,507,831,319,919,955,591,256,
885,094,905,588,646,530,266,289,210,743,246,096,375,947,817,061,971,956,347,
916,028,255,069,433,798,425,668,000,050,423,896,402,241,778,716,913,733,970,
243,454,457,136,186,297,964,717,727,889,657,879,629,702,867,652,033,216,066,
253,615,168,084,672,161,999,336,913,972,100,785,620,957,050,010,068,117,322,
548,195,117,088,769,879,270,583,875,232,847,530,027,021,118,566,721,447,332,
980,168,532,740,049,459,400,042,297,802,005,434,989,350,061,069,899,008,121,
233,708,678,210,706,189,827,858,906,907,143,942,569,478,751,330,916,839,070,
231,357,203,560,130,723,856,743,607,462,591,719,930,340,244,432,030,823,861,
794,966,803,557,449,435,291,809,344,044,199,913,681,795,384,132,015,855,330,
148,461,819,806,481,743,390,521,339,650,916,251,954,737,357,718,085,727,250,
494,438,576,034,598,404,930,931,166,118,892,014,441,240,683,262,900,024,924,
773,720,635,919,601,094,782,364,560,387,322,779,489,725,445,834,336,990,253,
603,053,377,586,032,889,970,829,155,518,218,809,018,401,181,490,219,303,228,
904,632,492,461,338,190,454,955,024,204,390,625,800,698,749,681,181,754,835,
012,430,326,148,000,395,268,927,835,446,897,964,805,365,564,422,895,569,119,
422,977,800,112,006,548,869,637,033,504,888,284,876,188,327,168,562,748,129,
786,599,584,977,155,938,149,249,505,216,944,015,403,736,175,608,363,701,356,
250,834,795,468,095,401,651,551,458,017,078,975,046,968,463,037,667,083,718,
339,081,479,031,051,945,890,999,466,594,928,588,331,317,437,202,589,610,192,
945,218,137,756,368,633,181,483,922,497,019,237,268,976,413,578,144,592,515,
956,919,145,215,811,088,323,577,097,810,954,709,312,606,356,668,857,772,407,
789,065,749,324,784,234,704,746,017,738,935,426,579,675,384,287,243,838,158,
642,298,591,699,050,399,872,513,719,334,408,506,786,819,694,995,716,681,581,
563,411,727,876,020,353,209,795,469,554,972,887,074,918,922,351,169,931,788,
139,627,196,318,002,608,404,365,713,892,009,960,350,173,372,450,956,592,629,
956,624,878,940,122,677,201,564,923,777,372,915,948,001,467,726,423,172,839,
392,945,731,316,804,764,679,839,048,655,571,486,497,903,454,453,712,406,934,
240,074,339,350,992,870,218,641,208,359,798,575,801,157,240,796,397,727,205,
675,224,963,317,740,308,981,594,796,866,027,638,751,735,856,296,980,526,877,
848,194,540,308,551,739,330,942,883,178,765,410,136,935,927,491,901,719,610,
216,341,466,724,829,580,728,369,126,915,711,437,898,528,456,642,746,002,088,
956,161,654,800,779,590,110,430,334,507,136,719,861,901,582,880,630,800,996,
382,999,072,190,826,013,415,758,561,944,707,258,365,113,978,373,321,307,032,
473,578,885,699,384,536,060,137,543,593,491,936,287,583,111,080,321,368,215,
527,402,621,405,219,084,959,469,650,875,575,540,190,206,505,429,740,104,479,
752,541,197,779,489,977,518,964,175,286,801,094,757,144,170,361,404,949,971,
022,927,473,805,665,474,771,663,553,247,791,944,322,967,100,311,599,802,618,
109,120,321,463,876,916,595,101,222,741,357,302,673,076,156,699,080,268,062,
929,841,127,414,970,766,263,418,677,844,648,357,971,742,961,467,041,045,320,
665,075,998,556,836,964,266,696,606,190,480,425,574,928,095,075,580,184,826,
168,824,584,450,073,230,636,352,747,472,068,955,133,269,510,821,842,814,871,
582,563,783,902,126,351,442,320,639,422,372,576,718,581,449,534,837,311,966,
482,765,637,763,057,638,360,366,220,495,836,587,698,949,698,487,143,675,546,
344,538,552,153,172,616,223,188,105,214,844,247,547,257,555,475,681,650,529,
571,405,470,389,823,030,099,915,482,920,464,938,133,103,602,177,340,460,253,
857,728,322,355,264,429,821,803,754,330,379,977,977,319,679,349,757,781,709,
006,379,911,113,996,572,029,937,140,725,318,398,337,072,373,314,354,824,137,
013,143,965,938,393,799,869,005,828,425,314,501,065,228,619,079,338,459,051,
391,124,668,617,505,224,624,214,555,255,378,970,250,504,455,410,041,525,930,
488,405,730,155,959,699,531,429,379,863,170,708,004,082,741,522,947,404,497,
349,958,470,517,377,744,456,091,452,627,801,927,143,192,730,151,365,848,363,
044,304,872,858,910,004,929,359,682,753,230,418,904,375,300,220,468,027,956,
403,563,553,404,678,912,864,894,387,080,568,054,430,756,516,214,430,743,027,
564,938,162,846,448,809,790,479,015,035,805,653,069,037,267,697,996,251,484,
389,588,066,627,272,430,298,775,203,793,619,524,769,405,565,776,337,082,648,
309,724,886,862,076,173,028,807,410,317,087,348,935,331,092,622,405,470,615,
610,187,738,508,523,675,943,746,975,349,843,853,542,162,167,473,136,649,832,
736,037,504,564,626,762,766,611,486,735,139,006,234,122,630,908,391,263,121,
323,168,071,491,281,434,163,322,818,163,697,725,622,674,285,630,955,974,084,
821,927,320,094,149,214,493,628,219,672,626,020,799,593,360,063,432,029,032,
797,989,495,817,280,507,573,064,458,667,646,680,056,073,452,219,869,759,739,
238,551,881,106,112,504,674,678,124,459,361,982,227,680,619,810,500,118,675,
320,321,824,971,672,481,878,082,418,515,618,803,847,261,808,271,932,810,796,
874,088,501,325,804,976,853,602,492,907,574,558,970,197,846,794,649,627,837,
881,205,902,197,341,902,590,163,332,079,293,937,455,013,560,412,974,003,797,
406,703,409,458,960,449,973,715,887,856,991,840,984,442,329,556,002,830,992,
036,111,551,235,179,013,000,489,098,488,976,754,873,699,294,487,871,480,249,
756,223,976,537,105,225,291,029,731,547,462,008,295,001,626,055,448,719,105,
629,898,036,452,921,796,598,106,630,409,277,616,104,403,535,427,150,906,642,
467,836,543,680,354,482,264,562,711,852,284,128,915,757,374,803,078,141,027,
672,736,009,186,638,190,991,085,397,176,596,095,890,062,115,127,777,143,162,
205,437,464,958,115,333,258,143,319,686,907,070,524,939,629,773,218,511,858,
893,029,377,378,778,665,642,633,070,993,492,667,971,791,032,821,705,933,747,
696,373,663,380,579,347,376,618,880,195,330,932,314,401,139,718,697,362,235,
061,926,678,580,419,606,897,716,829,269,738,542,452,571,184,270,502,855,787,
413,392,345,200,428,051,135,901,703,804,268,104,173,646,613,856,685,186,394,
496,930,033,240,432,662,993,289,314,075,177,979,973,283,994,794,985,342,681,
731,143,842,939,468,807,548,842,385,206,568,480,010,470,593,329,735,731,807,
340,142,550,878,428,176,785,181,143,932,854,588,389,032,975,680,302,548,606,
059,190,747,223,578,591,853,326,662,428,585,237,331,139,289,625,949,165,353,
035,489,772,633,951,005,412,880,613,142,518,490,150,141,854,509,578,706,518,
361,192,190,589,268,271,284,120,419,905,793,661,265,431,294,250,850,783,641,
253,020,401,007,579,382,647,409,492,883,960,659,612,821,643,201,071,483,266,
967,321,021,708,185,994,977,802,009,631,284,957,910,330,690,494,975,581,983,
025,680,682,454,190,452,800,151,332,470,090,214,576,346,173,184,257,267,358,
937,020,247,036,525,862,773,333,661,620,931,495,270,451,528,654,097,918,059,
532,631,813,628,916,534,965,207,057,600,267,987,337,033,670,593,878,007,094,
729,649,206,206,341,680,777,959,680,336,294,360,382,072,083,092,209,750,912,
575,139,345,338,223,953,201,590,453,515,473,891,797,450,114,749,713,298,824,
241,349,653,277,598,169,715,297,628,534,482,177,061,047,754,600,716,874,058,
311,390,281,379,709,302,972,125,007,158,419,736,852,097,093,265,083,131,808,
519,535,640,806,388,395,026,095,220,269,961,805,226,478,051,588,184,623,985,
142,039,516,644,156,941,785,250,283,500,714,851,474,998,843,414,984,235,282,
917,251,582,100,162,044,255,098,770,085,547,019,333,878,753,201,137,842,065,
787,077,108,392,418,152,406,140,068,515,898,640,509,988,656,991,656,809,428,
138,385,566,270,527,634,387,660,012,072,774,204,743,756,750,996,819,449,113,
780,966,296,143,570,466,845,471,972,438,160,416,890,656,990,230,427,804,289,
335,481,959,650,608,292,604,410,617,438,719,741,104,192,446,950,403,482,943,
880,979,583,016,876,542,794,690,356,053,275,353,662,729,778,691,844,376,121,
853,540,012,697,814,506,066,868,496,794,030,811,123,493,469,009,330,982,771,
898,202,443,809,541,093,071,904,202,018,204,989,009,799,095,811,490,332,223,
496,080,676,040,021,754,064,885,244,669,217,005,117,429,176,019,147,581,103,
721,515,346,011,671,200,478,991,973,420,291,667,555,466,867,488,308,458,501,
656,553,032,491,783,534,172,397,561,510,853,886,432,900,421,678,180,554,524,
878,513,568,379,699,728,880,389,615,828,663,321,235,440,722,844,732,084,640,
499,948,999,585,908,221,517,628,732,426,319,304,441,477,036,480,857,142,044,
578,118,272,993,978,844,260,640,455,198,006,410,066,393,556,124,443,926,913,
767,703,303,094,648,999,284,552,834,212,038,552,001,245,001,015,196,345,649,
626,224,176,705,954,523,502,796,238,112,432,691,930,438,549,033,983,282,556,
816,096,181,948,454,647,277,600,174,398,294,700,403,972,874,870,805,441,712,
055,434,748,643,537,723,353,709,886,941,096,927,088,152,491,134,028,139,072,
611,513,978,107,231,441,465,348,312,083,549,063,731,683,534,139,063,466,184,
273,758,077,278,592,477,579,361,890,839,980,614,422,514,259,868,960,998,740,
897,225,461,305,028,406,098,877,865,063,237,700,949,845,785,114,752,487,923,
457,123,971,387,638,976,249,436,035,963,261,490,247,916,894,304,336,463,007,
721,359,463,854,237,469,723,036,292,417,147,242,988,844,855,478,084,216,160,
673,984,088,577,135,282,782,892,994,497,534,480,799,314,238,817,901,478,330,
890,013,795,413,949,164,599,413,877,748,259,942,532,848,981,843,378,716,568,
069,583,855,689,035,461,401,117,918,452,484,664,166,526,495,328,963,834,659,
679,298,590,192,291,098,954,981,274,968,412,246,982,736,140,374,410,747,691,
247,127,470,100,755,470,729,350,185,673,287,756,983,447,820,329,736,524,316,
372,722,567,430,243,413,422,485,611,312,473,791,276,395,738,807,612,881,320,
208,199,817,947,686,393,306,300,602,992,333,632,804,454,303,437,207,609,104,
437,254,436,394,779,783,082,122,334,349,331,233,077,073,418,966,372,690,802,
167,407,482,279,267,809,310,092,162,203,260,182,251,233,714,861,069,536,143,
136,205,547,062,746,235,981,392,722,877,041,179,606,757,144,645,406,147,749,
841,460,324,996,737,299,105,665,867,607,671,109,465,611,261,472,996,369,229,
409,815,290,588,513,219,423,469,531,696,611,081,020,482,699,132,560,202,321,
463,338,833,578,460,389,289,396,074,409,228,906,369,448,172,399,133,413,543,
544,269,413,785,201,768,379,916,096,885,137,389,841,224,264,928,579,286,529,
921,025,882,934,988,171,187,282,542,986,143,207,671,048,175,409,775,349,831,
149,334,108,438,316,942,083,937,894,110,467,849,006,712,867,302,569,915,115,
884,126,749,304,920,806,095,147,715,582,039,813,248,430,061,002,034,507,256,
562,307,988,982,973,321,067,941,141,581,364,372,941,987,728,333,504,981,751,
686,936,954,600,446,711,960,609,560,956,679,548,522,205,098,817,562,777,898,
437,203,982,910,333,296,110,553,880,944,100,702,942,476,131,052,484,553,846,
922,662,341,875,156,678,643,534,086,929,494,211,909,645,056,434,197,695,073,
159,484,120,026,731,545,020,879,363,618,204,295,919,712,365,295,675,421,971,
363,556,017,398,787,786,243,734,842,590,740,370,152,515,938,304,421,693,778,
034,236,569,943,763,396,845,525,800,040,589,289,492,441,125,892,962,878,486,
983,540,774,735,895,978,047,067,434,220,031,860,310,317,175,174,819,839,589,
250,701,916,967,091,069,371,026,659,507,104,227,677,876,473,824,987,071,952,
837,683,130,638,403,258,298,167,485,818,999,973,892,745,919,813,771,678,326,
090,672,080,531,688,333,790,771,773,143,551,774,131,210,736,734,022,850,693,
266,514,964,740,911,256,616,902,587,914,155,658,578,880,856,146,769,144,985,
058,658,978,330,099,977,968,142,706,525,626,290,379,233,617,238,303,508,523,
049,824,793,156,597,459,354,659,533,714,527,838,323,827,268,284,145,701,409,
637,573,110,123,235,837,100,699,724,532,160,886,387,152,791,582,425,322,775,
170,559,278,319,089,026,006,552,348,255,658,031,203,531,966,471,773,633,581,
188,027,556,160,319,049,931,831,097,506,651,458,750,927,694,081,887,402,275,
166,371,213,091,520,248,966,901,849,489,391,913,285,417,228,922,775,734,370,
447,041,983,788,712,907,338,556,953,124,054,419,094,670,251,403,166,701,273,
378,749,122,455,724,810,234,310,286,606,271,832,234,679,833,917,446,588,845,
019,884,301,724,988,817,696,931,644,661,183,260,492,360,055,402,086,832,685,
157,392,014,605,807,840,769,025,280,160,135,457,962,582,712,749,596,172,969,
870,471,066,081,045,048,280,246,715,659,020,792,109,588,788,119,494,929,708,
549,703,345,637,719,174,287,112,038,795,406,250,999,730,614,925,168,207,355,
056,622,301,146,425,928,871,518,661,220,513,032,285,471,754,062,817,494,593,
687,485,917,102,847,501,282,178,633,287,433,271,428,865,525,913,976,468,265,
660,811,993,247,893,411,010,452,803,202,166,810,089,468,488,075,295,407,298,
617,478,964,828,339,569,415,776,472,450,218,296,882,786,162,189,781,290,785,
260,005,134,468,195,730,529,699,436,593,697,724,886,346,998,711,919,937,813,
011,579,259,775,280,906,565,858,314,177,360,067,784,780,391,196,891,954,987,
022,191,441,052,114,024,802,449,030,752,598,373,448,305,319,946,419,189,571,
522,492,642,028,452,508,794,080,160,004,087,105,789,765,681,894,076,212,915,
330,565,649,820,621,414,529,827,129,531,306,952,552,192,418,487,996,152,639,
589,903,596,417,613,290,564,159,623,617,883,000,197,243,974,186,325,125,097,
173,976,913,533,148,046,069,630,044,553,999,925,087,742,942,642,785,667,727,
498,063,671,502,949,577,011,451,613,330,672,416,289,776,525,984,699,460,530,
864,245,523,993,051,615,442,207,704,795,632,207,246,075,088,253,386,690,421,
602,481,600,997,216,426,486,905,720,813,308,261,945,474,287,772,287,298,655,
238,544,889,662,660,574,139,343,300,401,344,271,257,775,763,697,070,663,653,
207,745,651,334,885,486,904,034,097,529,673,580,600,208,498,904,833,671,587,
156,897,619,906,399,658,488,517,346,433,549,230,626,992,105,547,464,471,364,
435,257,052,758,584,780,445,637,758,685,083,746,430,043,604,319,650,823,919,
314,794,794,218,174,754,969,426,610,535,462,109,308,892,268,171,038,498,355,
582,224,082,013,046,532,250,663,342,949,449,357,987,494,188,509,935,892,606,
010,040,462,195,225,610,738,549,221,962,004,674,692,271,007,682,455,053,595,
721,660,264,745,867,309,232,803,270,749,847,501,068,529,125,739,206,586,228,
595,953,830,971,132,971,538,436,803,576,918,308,211,350,740,015,840,971,702,
238,121,361,046,436,190,635,606,020,329,306,778,833,844,661,690,559,890,753,
190,868,247,571,576,296,836,422,604,300,336,146,507,734,543,565,849,837,066,
420,587,306,814,605,300,869,563,682,039,292,303,780,295,264,100,812,418,459,
116,684,519,321,193,422,629,862,498,795,332,461,645,871,685,827,763,140,273,
697,417,491,337,365,046,202,580,242,887,171,396,777,334,760,672,995,177,337,
626,461,890,428,115,269,502,568,725,270,979,882,114,396,886,216,351,465,543,
496,502,631,531,663,361,242,911,330,509,785,830,419,165,467,059,478,027,556,
240,226,782,727,091,400,478,012,030,501,828,838,465,407,585,196,887,999,769,
845,729,318,127,700,083,902,278,943,138,295,457,638,941,004,566,977,567,350,
439,643,664,585,759,751,131,468,702,404,088,845,814,465,922,907,295,877,258,
722,789,539,069,159,159,438,738,384,086,094,510,455,967,575,016,504,520,043,
739,117,685,903,061,484,087,148,180,908,299,752,098,178,423,644,598,437,782,
955,338,512,983,319,587,667,071,537,033,349,789,481,545,060,612,979,611,744,
414,665,822,791,275,591,209,536,467,017,819,533,105,830,752,349,912,476,014,
542,553,604,431,214,020,485,675,168,187,286,532,567,584,055,305,801,944,665,
668,918,097,046,899,136,134,687,483,054,129,851,842,933,023,429,775,591,966,
037,126,470,685,677,106,256,973,836,522,464,391,301,379,407,956,880,216,381,
164,837,569,362,880,417,855,691,191,948,353,187,749,520,572,173,495,446,000,
261,737,252,529,791,529,550,952,020,367,675,152,222,063,769,750,241,440,016,
645,223,084,243,312,833,168,081,229,925,889,753,773,950,503,387,695,866,364,
521,976,317,339,192,296,041,322,146,452,232,413,343,381,711,976,638,645,529,
092,543,356,460,940,842,207,880,805,269,717,914,346,205,246,207,688,374,918,
604,192,470,888,749,805,513,478,691,714,002,995,062,193,527,987,586,176,129,
469,307,653,899,333,345,057,436,301,832,543,373,229,075,081,575,751,530,389,
867,087,562,249,508,156,054,079,841,938,105,102,421,305,914,321,494,625,517,
251,644,528,959,767,233,172,958,440,559,081,890,396,417,414,620,020,884,893,
360,850,596,965,485,802,564,980,432,102,428,572,821,483,832,539,406,087,207,
955,515,920,984,085,956,187,484,730,613,579,685,610,789,566,207,140,183,912,
249,958,018,465,334,023,064,301,572,625,045,015,480,591,595,660,769,509,586,
217,306,380,681,767,857,454,621,713,349,783,028,020,782,573,961,651,893,807,
701,283,402,945,114,482,500,171,575,589,681,603,375,982,172,414,447,504,730,
941,600,530,684,661,121,664,592,004,007,442,297,917,280,457,529,476,945,336,
503,219,516,791,038,210,674,423,312,584,073,680,289,181,498,076,953,605,740,
194,828,481,709,129,674,676,630,227,735,847,200,823,024,379,430,740,280,772,
199,933,655,934,612,341,690,521,854,232,622,189,456,008,641,197,221,464,609,
826,899,851,569,319,731,862,665,186,805,396,182,518,977,175,346,665,546,644,
194,464,496,115,207,942,245,701,088,235,802,891,351,952,253,145,798,629,147,
600,400,622,097,474,969,616,468,526,019,579,561,852,807,481,999,854,138,744,
263,669,575,713,866,913,486,673,783,272,840,023,215,039,956,510,851,715,395,
885,771,038,104,690,871,301,957,204,842,743,008,696,725,321,941,567,900,820,
114,228,272,797,179,537,167,910,739,938,377,842,902,479,293,651,351,443,659,
253,810,023,576,721,511,384,711,655,926,809,460,444,271,083,370,817,329,777,
308,348,111,087,181,250,344,113,744,813,536,237,235,646,034,864,471,082,339,
811,682,566,595,042,243,978,403,149,023,798,577,214,268,809,967,036,261,974,
182,480,206,446,653,889,598,871,444,454,253,603,747,822,893,036,818,036,752,
295,184,972,194,763,999,348,087,436,925,842,999,501,063,193,475,816,730,440,
516,457,620,602,469,912,298,198,596,566,819,013,766,562,960,130,814,043,318,
236,451,449,726,081,330,291,983,049,259,700,394,916,123,020,138,608,912,215,
897,490,341,497,369,102,070,527,549,659,724,019,379,944,349,873,480,110,082,
057,702,613,068,195,201,494,184,030,777,419,849,242,227,446,120,386,905,489,
190,408,932,049,208,875,412,336,984,381,795,264,457,182,398,302,518,855,119,
686,029,967,376,205,534,773,433,154,418,669,321,604,878,645,795,898,365,174,
825,443,319,701,973,227,970,999,644,489,346,040,780,661,836,447,457,130,022,
498,962,936,884,476,800,344,775,411,795,435,854,324,039,834,542,883,190,571,
997,652,165,805,509,874,047,094,213,523,667,080,851,043,733,774,571,512,214,
135,558,480,041,370,951,410,595,285,825,290,016,861,348,198,878,842,119,782,
810,929,892,909,423,610,784,978,406,019,970,040,510,437,264,022,318,715,890,
163,347,898,175,848,176,391,197,935,937,726,904,000,244,122,153,862,501,738,
367,369,406,958,714,389,466,956,774,561,943,150,830,383,214,667,411,808,109,
837,787,352,117,964,084,619,848,693,558,038,465,057,839,693,155,329,977,047,
492,558,524,429,224,066,516,409,700,690,626,120,775,808,260,378,589,599,127,
354,819,534,507,997,815,412,297,083,161,419,024,123,883,205,291,302,318,829,
168,396,820,115,358,972,499,114,456,864,126,810,299,480,030,689,442,506,166,
197,212,185,882,472,720,180,874,678,204,641,858,022,536,397,395,877,906,062,
417,581,603,134,141,590,982,912,028,820,252,419,809,645,593,268,216,269,201,
714,771,144,679,632,334,328,013,910,661,300,091,980,797,585,128,014,815,729,
479,773,855,417,962,988,764,745,605,653,209,202,259,445,248,280,288,113,233,
531,579,751,084,160,810,800,018,719,512,105,219,883,984,190,692,874,020,860,
180,988,148,255,929,807,093,686,128,731,103,335,657,070,702,092,596,171,170,
264,906,487,834,785,487,776,972,213,198,770,368,320,540,207,684,049,833,201,
709,155,417,862,934,741,807,044,587,674,278,575,053,950,968,846,129,406,652,
186,792,238,756,586,234,548,676,123,870,555,298,035,753,323,570,170,538,787,
545,091,101,547,074,308,317,016,643,532,330,494,264,007,543,207,026,520,891,
845,986,335,633,308,239,428,653,752,117,644,399,632,778,511,675,293,266,871,
940,887,494,758,871,030,064,376,673,114,573,340,896,180,062,373,744,911,899,
041,847,954,738,739,996,185,885,821,660,427,184,481,527,067,032,106,728,337,
134,431,405,902,976,669,770,981,525,586,869,085,333,776,236,791,658,862,690,
300,905,931,369,747,358,733,178,386,492,873,855,524,865,184,015,327,977,652,
012,416,718,378,382,475,858,533,533,808,794,747,064,395,249,410,611,995,620,
591,884,366,868,041,029,591,108,846,787,217,086,010,410,522,409,512,737,823,
175,931,273,908,027,407,157,190,271,910,471,839,643,586,074,001,111,349,183,
983,274,848,539,079,506,074,832,961,422,888,656,259,135,569,130,928,951,546,
773,090,040,808,596,403,738,814,603,821,767,118,371,778,880,866,724,507,045,
813,093,763,809,519,549,286,582,542,620,856,566,659,983,183,937,890,521,013,
567,034,046,740,918,653,579,832,803,805,714,301,852,484,668,837,230,171,135,
379,729,301,628,086,965,404,743,956,419,795,455,051,695,834,560,886,924,794,
985,331,628,725,726,247,354,786,142,070,027,995,741,685,889,684,607,054,010,
352,245,485,656,854,550,930,616,997,330,251,212,059,062,517,390,075,413,758,
596,140,682,814,079,349,172,649,675,715,906,872,468,840,172,067,572,038,431,
759,191,170,920,570,612,098,580,621,776,765,833,499,509,985,671,119,342,807,
464,529,435,562,256,181,263,279,689,488,331,672,199,298,156,206,327,866,462,
858,646,602,536,617,492,656,188,249,363,573,968,912,099,960,527,673,136,218,
377,757,146,582,452,926,154,458,766,500,362,711,206,413,181,108,543,221,791,
495,438,918,432,109,009,049,523,851,227,958,944,890,433,745,763,350,260,414,
071,273,826,802,896,735,625,244,023,801,371,019,993,952,163,992,086,777,968,
415,253,866,520,612,606,977,059,057,586,047,636,557,528,417,051,978,015,539,
043,988,438,698,091,777,379,408,329,436,659,711,460,578,260,894,307,183,053,
343,701,464,704,963,812,458,390,952,679,049,921,907,558,946,780,262,011,570,
253,652,693,620,267,955,403,620,759,459,941,080,025,990,243,904,747,204,795,
583,818,556,901,245,974,207,278,033,161,805,524,456,896,379,648,067,328,887,
121,153,865,662,635,096,675,056,123,919,816,221,231,164,525,740,830,222,759,
968,452,619,996,516,811,948,644,441,722,303,244,257,163,470,579,465,487,182,
805,476,547,426,045,471,886,875,198,499,497,000,340,863,810,093,851,079,939,
792,554,548,763,195,217,071,650,481,487,684,365,759,845,507,707,392,726,654,
450,626,277,710,695,775,535,716,549,505,811,443,846,708,131,724,540,891,779,
272,505,780,572,311,389,011,796,076,354,175,240,428,640,979,821,257,994,530,
151,737,527,706,186,342,199,870,412,083,920,294,656,060,409,108,670,009,748,
394,795,854,158,549,646,835,839,560,659,845,525,841,333,836,323,752,205,476,
798,951,826,017,061,716,443,337,295,228,774,229,115,405,506,039,699,008,650,
807,562,799,521,801,568,114,961,904,834,887,053,850,229,039,334,465,529,126,
716,640,353,846,268,332,991,295,597,279,575,206,770,196,529,306,516,665,450,
510,235,335,383,183,619,456,227,866,489,451,700,204,505,166,010,839,820,581,
660,907,412,764,149,869,241,794,055,455,508,038,220,904,886,816,275,718,596,
419,104,436,826,016,095,087,237,211,166,470,874,948,443,306,661,223,496,139,
450,259,186,403,885,421,785,215,801,975,440,855,199,889,512,298,502,837,079,
694,398,207,295,256,126,398,394,843,631,636,719,397,203,149,969,829,445,881,
970,134,496,841,647,735,616,047,745,548,268,200,375,437,867,661,508,299,650,
593,077,124,694,593,579,474,935,847,928,696,624,080,420,923,410,477,231,002,
873,705,358,036,522,134,649,792,753,972,055,266,130,225,134,980,297,163,237,
152,215,688,943,775,068,753,499,933,652,908,935,966,451,023,320,868,421,362,
462,379,343,673,706,759,162,983,732,277,157,897,021,525,432,630,018,181,736,
976,665,011,237,104,205,838,718,122,987,442,689,941,284,892,881,469,536,318,
835,672,941,857,887,110,400,296,401,597,077,540,926,875,806,760,530,279,942,
544,775,165,560,307,367,345,729,877,038,287,485,611,101,392,453,349,479,857,
372,715,977,748,429,508,659,459,270,042,662,803,966,523,491,938,644,297,363,
227,006,575,001,652,704,048,451,219,398,991,793,644,395,009,974,099,998,430,
560,600,967,514,709,645,695,769,686,127,822,854,369,579,552,100,546,406,539,
806,726,013,082,185,107,058,750,703,927,312,594,925,368,476,897,929,591,171,
580,368,251,153,222,561,803,424,729,463,198,136,060,094,851,283,294,747,025,
988,839,552,059,562,411,150,488,488,580,547,699,895,588,348,016,813,921,419,
682,690,062,880,620,050,890,628,709,038,977,387,688,120,040,472,028,153,814,
965,132,130,866,514,131,306,550,512,361,542,383,866,351,331,162,823,438,547,
696,847,779,462,241,257,884,801,710,466,873,920,703,976,448,767,124,047,214,
479,004,493,900,617,578,754,474,544,551,261,613,165,739,099,266,092,976,415,
453,250,315,787,705,577,311,983,304,470,615,000,220,158,862,156,969,172,550,
359,022,933,699,106,309,694,898,540,782,073,268,890,723,787,168,197,368,252,
130,281,662,397,188,570,032,941,769,300,190,503,664,065,750,941,498,307,971,
737,959,904,853,607,138,556,635,614,973,149,076,647,885,489,846,872,091,319,
523,036,224,533,211,735,268,924,801,706,389,169,692,928,216,460,347,121,742,
787,253,019,862,536,015,848,392,960,872,480,930,332,143,950,397,362,448,952,
085,924,942,519,616,423,128,647,966,603,812,273,793,595,236,465,586,842,980,
480,572,746,519,805,511,263,301,593,922,950,943,714,956,195,752,114,704,624,
592,584,532,583,717,515,847,770,864,821,957,454,933,111,062,773,377,235,485,
754,138,719,194,442,478,583,753,528,054,870,076,848,936,807,834,055,860,307,
198,434,342,831,531,316,208,209,007,884,332,823,784,384,504,844,576,337,882,
840,409,996,175,338,368,277,129,698,092,492,483,147,092,943,705,910,402,860,
736,440,762,524,705,687,415,703,934,535,389,185,707,301,337,008,184,361,772,
844,089,366,119,930,598,934,758,746,754,865,345,118,448,212,387,513,811,117,
680,979,719,282,346,674,452,730,196,711,556,661,169,173,711,677,663,683,244,
896,635,468,574,726,204,725,434,112,661,106,364,756,114,986,014,690,510,815,
412,205,809,408,119,478,642,595,490,154,166,497,953,666,420,224,210,903,600,
081,521,327,896,959,822,239,084,450,765,891,151,190,586,246,367,836,551,282,
312,505,719,399,987,563,976,762,124,731,294,792,091,053,742,696,459,900,256,
095,254,523,533,083,030,699,157,270,891,371,834,333,217,419,911,305,213,269,
754,899,203,745,682,723,067,206,294,248,432,188,905,230,151,037,213,332,991,
746,989,051,737,786,780,779,196,734,859,463,035,272,990,797,304,668,593,252,
697,682,691,960,982,182,220,513,652,967,200,260,318,935,363,054,842,427,550,
329,334,751,268,488,695,836,750,040,924,635,940,155,013,879,327,826,494,198,
382,459,161,772,705,492,158,420,618,173,088,830,724,180,369,763,718,137,031,
077,035,171,762,178,165,491,136,507,994,738,411,484,724,519,526,020,949,423,
966,887,263,585,983,499,634,238,005,370,073,738,362,422,837,157,729,998,210,
500,202,673,777,099,078,440,342,849,053,478,988,403,093,412,173,966,853,829,
555,717,576,327,783,143,767,733,233,649,620,143,408,808,895,163,547,928,282,
567,257,870,229,697,177,478,769,773,648,524,667,640,101,314,262,555,165,107,
018,803,991,184,399,456,589,320,670,754,284,552,450,614,182,849,576,197,736,
273,437,258,390,115,552,200,754,775,457,359,650,924,807,548,111,424,676,681,
114,474,137,699,121,845,247,752,832,457,696,310,081,244,390,614,171,489,741,
669,810,065,533,483,044,642,668,120,323,214,988,361,137,909,526,178,043,083,
725,055,422,928,281,893,420,453,066,726,471,783,364,675,952,488,197,579,861,
699,550,326,832,669,498,324,148,560,163,950,089,922,296,057,502,938,080,961,
768,548,382,794,749,990,612,587,911,505,192,073,676,002,761,859,471,022,975,
712,205,401,961,472,647,239,652,844,775,025,495,105,146,555,447,615,013,333,
810,828,148,297,730,493,499,862,086,890,318,167,683,796,678,353,571,241,767,
571,319,403,118,785,238,184,352,736,021,287,237,341,023,097,009,673,627,018,
672,407,403,301,542,922,184,115,512,020,525,898,772,136,274,852,984,242,604,
056,149,486,775,857,053,806,519,485,620,264,166,175,226,602,297,626,393,664,
272,072,483,539,018,970,495,288,705,611,187,310,674,841,311,686,441,103,877,
209,035,323,624,411,737,865,477,717,652,714,177,218,220,715,683,624,591,921,
231,998,441,145,092,731,804,540,284,816,169,386,272,125,258,637,383,827,478,
758,931,949,448,911,412,859,047,452,681,734,238,628,122,758,818,123,596,295,
370,043,670,979,197,543,213,910,114,624,522,151,653,680,695,741,910,240,112,
641,776,461,000,310,238,341,636,396,987,360,468,308,266,211,015,211,452,142,
309,270,352,021,719,063,443,366,771,402,900,481,505,683,584,943,716,237,516,
759,695,188,545,557,932,523,453,732,505,049,338,617,863,454,200,470,533,976,
826,028,741,020,894,123,494,235,671,414,083,662,488,378,503,467,621,058,757,
852,562,825,465,168,326,164,240,933,363,297,345,535,602,965,065,531,205,435,
744,375,252,311,780,370,632,389,703,143,525,311,790,418,438,752,998,265,459,
495,087,964,845,303,127,527,046,279,291,514,196,688,354,254,586,116,155,443,
668,197,188,980,358,803,566,262,754,224,353,186,368,298,236,241,336,002,899,
233,644,423,332,370,491,097,584,552,703,884,752,750,568,800,282,647,191,395,
654,807,868,886,299,319,876,321,096,593,923,189,468,566,160,466,704,933,258,
922,174,234,282,640,784,105,719,837,059,527,886,470,651,736,911,833,384,216,
644,308,185,964,896,127,922,531,056,830,184,737,004,570,526,730,338,551,769,
152,683,724,366,580,596,628,360,398,555,498,734,445,543,269,348,521,227,991,
843,197,158,189,294,184,478,546,876,393,189,351,345,711,932,408,663,054,783,
203,076,892,887,447,287,398,318,095,848,890,432,734,951,132,816,124,948,376,
707,803,781,936,332,596,547,367,218,030,154,836,739,637,049,570,065,455,958,
062,327,691,341,870,348,465,379,038,588,446,110,667,809,187,189,996,104,171,
256,813,664,484,868,519,535,379,207,526,474,684,171,437,080,934,848,671,217,
711,309,128,881,923,618,455,098,866,988,722,700,835,930,276,744,011,410,729,
323,676,748,329,411,832,570,393,851,838,614,851,886,822,823,795,408,110,483,
638,808,524,995,687,361,489,257,952,345,622,439,869,352,141,666,823,901,920,
168,096,543,308,009,992,076,886,353,586,324,780,219,499,419,971,080,230,796,
041,455,502,876,187,720,907,053,980,130,664,691,950,888,212,024,627,546,358,
900,433,511,047,575,862,111,390,519,919,747,775,447,040,163,571,048,610,448,
961,376,723,253,608,073,559,660,202,376,111,337,794,898,258,061,157,150,220,
878,547,906,796,702,209,291,034,675,661,198,841,160,982,011,733,385,002,919,
673,562,650,596,270,438,134,346,164,209,219,819,177,252,644,023,853,217,829,
586,248,976,557,078,621,243,040,855,698,334,163,605,755,123,226,977,353,526,
527,426,919,130,547,683,165,003,406,239,772,142,843,330,525,686,891,594,612,
032,630,835,413,065,439,240,332,641,061,276,233,731,195,187,249,377,372,673,
168,172,376,240,007,592,039,916,075,187,153,063,023,367,311,591,534,637,507,
447,452,842,191,800,928,565,492,033,815,959,743,738,705,861,278,063,147,638,
771,560,867,643,150,454,475,439,223,016,043,918,325,277,691,450,705,504,470,
496,196,495,951,093,259,132,637,373,792,519,986,165,276,055,433,224,258,294,
544,378,160,522,923,736,273,349,747,076,147,694,428,540,422,050,939,510,029,
466,731,773,846,030,781,071,169,643,022,949,448,250,535,266,141,866,205,101,
979,710,222,628,333,795,686,203,915,839,612,768,943,147,352,270,773,919,066,
125,975,732,708,851,186,928,755,123,336,071,734,274,049,392,305,497,649,301,
826,457,199,101,296,587,018,822,910,228,951,667,293,736,029,919,247,766,531,
847,676,291,477,973,546,426,214,813,637,784,741,612,386,552,030,426,030,859,
017,114,904,953,302,538,534,109,412,168,866,482,644,895,570,050,864,677,839,
251,876,126,908,926,334,868,232,899,526,525,473,909,311,693,363,706,910,281,
011,840,701,760,083,425,020,985,840,204,625,820,381,597,535,745,538,091,796,
455,141,203,511,950,008,945,845,350,084,232,214,692,474,573,847,247,512,321,
206,242,922,855,679,448,265,343,670,245,256,012,034,883,944,367,424,917,097,
159,733,110,591,848,600,817,553,655,069,558,929,730,805,030,973,558,963,461,
405,241,819,427,308,721,311,396,280,738,581,756,585,027,303,580,851,733,258,
398,659,854,500,382,089,668,003,888,610,172,023,887,545,075,602,840,921,284,
258,483,416,856,737,579,943,408,808,382,458,240,231,671,844,978,139,391,574,
074,960,445,907,019,802,210,511,500,651,332,617,660,680,269,642,922,060,925,
662,339,920,066,937,182,349,023,215,365,225,826,614,374,782,139,568,047,155,
735,713,947,541,165,036,030,459,325,030,920,946,068,184,312,250,206,646,519,
205,239,453,031,504,330,685,084,476,295,139,856,715,078,824,564,680,730,508,
144,969,774,882,890,512,795,949,127,403,988,043,979,050,985,730,743,610,406,
812,867,574,957,562,483,747,917,210,950,988,519,755,410,470,630,579,165,490,
789,248,557,626,327,685,914,531,657,948,187,589,334,744,372,200,557,013,046,
451,711,527,125,562,063,967,660,834,607,482,226,792,476,027,950,327,411,082,
159,794,166,397,064,918,720,075,818,988,630,627,459,563,494,697,654,279,525,
981,247,087,875,428,481,292,149,959,985,541,751,357,586,667,766,086,105,165,
554,743,906,368,464,549,700,824,758,517,672,979,731,046,139,591,018,930,003,
491,932,144,804,871,939,517,139,813,831,180,289,640,254,992,646,998,133,664,
550,103,411,848,907,914,910,141,395,264,165,123,473,914,917,052,870,891,158,
260,053,101,186,879,405,876,533,058,948,343,677,623,495,983,730,732,105,810,
122,454,892,612,632,236,416,384,538,107,714,876,369,751,178,171,079,772,006,
033,260,944,471,362,668,203,084,546,137,213,738,639,945,544,554,630,318,812,
296,133,578,657,591,336,830,494,771,892,916,788,928,676,087,066,122,039,855,
348,613,524,875,759,688,779,259,222,159,432,632,080,106,090,941,306,331,224,
289,697,112,188,429,468,434,837,831,389,768,835,579,100,314,174,740,482,849,
362,079,587,910,304,526,291,150,501,287,090,065,876,793,978,055,291,385,998,
576,697,384,038,929,297,623,981,667,254,202,207,123,101,862,079,005,544,198,
828,953,641,801,801,687,506,036,789,162,389,597,623,530,734,562,227,836,792,
137,443,548,070,042,921,422,039,962,799,836,308,666,688,568,567,481,282,696,
110,881,442,288,210,902,917,326,943,572,745,344,463,734,826,598,410,726,051,
091,996,231,172,544,285,799,606,878,440,356,032,133,391,208,587,584,226,374,
980,247,223,083,937,027,833,909,228,832,323,737,959,583,069,908,237,429,887,
731,389,782,035,456,112,742,999,379,993,355,080,046,771,526,121,702,803,237,
790,674,841,404,393,354,000,845,767,067,851,092,666,176,500,722,262,555,945,
077,921,294,368,474,647,286,594,304,789,704,810,354,299,512,547,939,991,313,
882,779,314,052,820,721,120,527,456,663,860,637,535,808,439,309,363,276,285,
477,675,629,450,211,542,020,595,504,657,261,541,672,943,155,860,896,960,699,
681,257,046,078,557,561,114,984,406,639,154,637,896,885,333,457,332,853,926,
111,029,389,050,181,262,834,170,015,796,034,581,593,497,163,918,414,020,748,
798,965,166,931,103,468,064,610,474,159,537,999,824,038,412,191,688,386,601,
309,574,610,747,609,590,549,151,314,960,416,490,665,265,233,743,731,107,313,
681,236,174,369,156,279,143,600,560,913,932,260,349,064,259,727,367,773,467,
891,565,053,127,927,145,620,311,312,640,233,669,104,697,375,438,427,580,178,
562,788,806,755,086,609,940,527,732,131,601,233,254,154,126,946,594,161,707,
691,706,635,036,541,626,924,265,146,378,775,315,772,372,113,384,943,767,406,
749,309,799,286,075,269,781,627,753,420,322,612,629,273,872,366,370,894,097,
344,923,287,429,788,960,171,899,752,639,991,200,541,671,202,589,993,213,769,
551,087,268,477,182,514,623,205,271,455,784,796,941,712,728,573,741,613,054,
028,252,401,736,774,992,427,360,196,791,380,092,821,457,182,383,768,876,563,
930,757,294,463,976,275,417,110,599,912,048,395,818,151,564,958,694,306,026,
531,966,525,831,269,358,205,624,790,307,572,873,298,677,898,856,940,675,768,
155,354,986,373,492,321,932,000,508,497,807,894,176,438,746,058,485,806,165,
544,864,543,882,341,731,989,207,711,044,098,694,325,347,440,952,231,826,918,
982,584,651,675,005,399,399,671,940,454,375,267,721,468,171,280,024,029,455,
535,862,182,869,652,280,340,532,459,820,510,660,464,872,585,825,846,173,800,
258,430,571,816,546,532,796,572,693,589,680,879,862,145,906,275,621,480,088,
740,326,128,202,324,271,927,727,230,680,293,614,761,892,222,069,310,327,369,
574,835,168,764,231,588,168,964,178,127,523,320,835,361,268,234,470,932,025,
284,323,460,463,392,213,740,489,131,162,846,099,384,685,772,568,847,068,484,
127,520,887,876,028,219,602,996,887,683,369,219,605,251,271,642,932,902,712,
763,191,052,324,572,851,587,790,223,802,196,460,912,246,033,986,918,297,369,
515,425,261,318,274,865,657,289,858,622,439,916,836,721,353,242,987,703,998,
734,120,431,626,673,943,992,428,915,108,091,496,935,405,882,750,014,569,603,
040,337,796,509,034,849,966,469,763,942,659,153,248,516,076,374,111,660,032,
306,865,667,372,574,852,002,560,650,855,598,687,614,238,944,002,130,885,887,
946,896,167,024,057,599,281,021,549,986,783,776,670,376,218,413,724,948,152,
566,400,714,793,394,922,280,209,936,020,573,322,410,060,467,451,928,920,299,
919,684,281,629,980,679,494,293,998,602,391,269,623,433,605,146,373,592,194,
705,656,041,832,937,602,378,846,602,803,924,865,959,012,068,855,024,131,566,
842,902,371,762,801,431,077,296,093,227,316,711,688,915,253,982,530,634,028,
028,617,783,812,311,754,901,525,256,150,632,486,286,457,577,664,303,684,183,
875,470,728,653,589,516,112,062,134,945,940,791,243,569,958,278,161,651,491,
683,878,428,319,257,238,617,681,353,887,636,055,947,648,720,960,878,406,798,
013,537,284,494,712,433,095,973,114,279,850,854,866,563,710,109,793,904,709,
029,437,277,777,314,008,076,147,711,717,364,751,135,380,207,636,696,451,845,
675,350,770,835,176,856,522,965,954,767,906,452,422,870,538,201,636,237,670,
195,925,723,762,615,600,227,230,271,169,836,360,759,303,797,617,156,695,494,
155,142,126,153,390,320,466,713,413,396,164,624,363,458,989,914,516,519,629,
610,196,230,220,970,713,819,443,837,456,369,864,273,465,418,301,825,220,613,
301,356,796,580,650,097,423,050,883,853,863,445,978,668,747,751,162,179,094,
017,402,046,461,848,065,907,940,741,353,357,823,268,619,078,713,724,771,223,
998,742,363,094,460,429,848,206,240,489,810,646,293,936,805,870,107,368,139,
311,765,113,809,841,704,955,004,501,368,552,061,254,575,470,654,211,036,377,
138,855,485,477,236,956,188,987,530,306,716,510,220,466,299,590,270,279,528,
235,421,048,785,072,624,027,474,075,299,756,439,987,578,259,882,363,531,199,
493,688,735,253,195,672,233,215,142,211,846,005,069,968,878,499,406,147,375,
016,669,366,467,972,269,888,646,642,717,675,230,114,286,258,487,604,328,999,
634,924,975,988,238,598,014,153,384,844,600,042,824,709,475,236,988,273,109,
516,283,408,504,745,865,400,342,570,417,762,032,689,030,788,233,517,413,910,
513,439,077,419,338,776,147,478,277,506,063,144,477,022,525,356,550,319,371,
949,485,741,299,079,197,708,223,240,466,158,533,913,747,510,424,119,257,381,
895,538,105,798,194,493,312,426,424,073,275,788,464,160,654,414,849,709,324,
606,020,498,429,799,235,446,643,657,321,686,877,510,198,509,961,784,996,139,
048,839,490,252,537,080,739,841,862,080,916,349,673,885,211,738,044,268,862,
707,081,973,575,665,881,601,727,276,465,726,521,212,545,856,855,557,300,648,
847,098,421,728,050,614,981,912,190,743,815,553,970,587,969,428,229,737,617,
132,511,301,066,411,551,204,257,752,046,555,054,737,450,332,863,432,246,041,
761,660,450,398,824,457,160,337,034,736,034,662,265,453,781,551,633,941,984,
672,502,705,455,479,485,803,597,821,194,267,757,457,830,778,733,256,882,598,
893,071,203,899,009,528,262,287,652,359,250,664,030,321,665,157,686,778,005,
708,663,840,850,143,450,142,139,576,363,691,682,418,931,193,984,714,883,434,
028,232,881,386,099,645,414,765,023,478,493,274,078,914,333,389,245,418,616,
793,844,335,795,498,142,799,673,892,517,496,802,459,205,911,614,223,430,500,
480,349,690,500,858,962,865,183,097,022,897,767,836,003,674,098,106,957,461,
685,321,276,026,001,806,018,511,443,958,575,020,654,406,936,637,341,209,950,
203,571,406,114,576,661,986,804,112,862,412,898,194,696,544,232,604,718,101,
619,790,177,234,651,011,960,889,842,018,540,836,621,120,379,183,860,864,102,
105,812,320,615,906,170,026,084,002,869,740,414,961,080,237,439,142,601,573,
681,220,767,479,798,813,020,576,509,816,134,644,480,767,801,695,621,398,360,
808,298,252,731,716,881,440,812,137,678,010,155,263,368,439,548,382,467,532,
370,867,644,035,139,279,065,217,910,134,503,486,119,818,207,828,749,689,626,
709,407,055,739,753,961,613,065,149,587,520,938,617,835,698,592,406,016,344,
788,700,860,698,446,306,091,070,951,887,123,173,004,515,763,619,937,503,019,
767,701,395,940,333,970,117,647,492,170,754,486,150,237,368,254,133,066,575,
296,601,808,811,211,062,602,176,128,696,174,928,984,412,832,835,365,651,958,
165,330,870,073,176,948,108,909,576,234,266,340,617,562,840,756,548,418,980,
664,239,365,171,594,959,175,584,583,689,962,828,858,427,250,203,867,397,480,
031,803,816,813,827,655,176,771,958,752,569,251,486,785,515,108,209,170,577,
131,500,493,748,753,963,992,057,466,866,726,092,004,227,357,122,575,691,712,
231,167,835,185,325,829,699,821,674,792,243,469,659,420,818,593,925,839,768,
075,407,598,303,478,476,108,874,577,562,412,551,377,893,604,664,782,738,267,
507,198,853,344,357,705,645,927,808,342,753,896,720,586,505,549,020,104,973,
197,010,115,538,667,335,287,280,576,062,806,417,553,972,851,041,510,571,426,
568,209,847,154,831,799,210,372,625,894,893,534,507,937,703,222,211,837,874,
931,890,692,199,028,971,715,613,791,879,077,903,018,472,595,165,609,432,735,
375,059,883,097,485,170,824,712,957,545,663,446,028,270,455,564,086,048,397,
525,059,424,661,044,861,691,841,857,571,784,295,184,840,803,525,264,655,879,
435,316,868,673,926,047,238,982,137,906,487,161,917,154,524,022,987,959,526,
650,027,740,521,928,427,726,195,157,247,541,066,442,870,470,083,196,199,075,
175,028,046,525,780,480,713,760,243,141,977,768,276,093,534,088,880,170,054,
278,463,472,530,334,572,378,458,421,517,178,600,501,039,255,445,054,050,226,
917,017,571,454,474,659,476,006,466,670,723,448,596,828,613,351,597,467,832,
972,465,657,476,273,803,947,082,846,492,199,154,515,384,142,714,889,105,717,
030,756,997,148,052,114,935,022,497,955,267,172,985,615,429,834,917,998,800,
576,987,189,248,684,902,940,978,098,848,096,952,915,464,240,332,942,585,782,
978,236,347,651,258,399,664,111,137,707,913,372,972,738,108,905,223,496,218,
275,819,450,395,706,555,427,581,802,394,838,722,841,960,399,129,326,210,863,
868,105,367,709,199,235,058,582,675,668,612,715,842,868,799,354,470,129,985,
148,893,345,962,456,754,662,651,002,300,641,989,576,876,336,045,422,231,440,
933,787,322,541,211,221,238,206,484,709,834,169,767,113,676,145,708,542,305,
917,241,146,273,386,240,561,300,529,120,650,664,947,979,579,637,034,507,238,
843,157,904,473,960,900,480,598,483,785,911,947,180,607,020,747,213,089,203,
066,990,895,857,346,025,991,683,138,854,176,588,052,117,037,814,226,485,697,
421,069,936,591,858,202,026,119,786,470,555,871,838,051,932,522,208,404,324,
425,136,383,740,108,274,659,720,489,948,370,210,193,386,947,668,208,277,577,
244,696,330,807,290,670,720,730,240,717,918,351,363,632,662,674,155,348,397,
723,459,499,033,130,208,652,710,446,725,142,014,088,036,444,954,434,447,691,
836,339,710,724,142,712,118,387,013,976,036,966,361,535,057,702,469,828,211,
278,815,602,464,908,581,344,658,601,865,220,373,419,658,870,892,749,671,583,
640,693,354,677,770,736,807,314,252,023,991,825,335,315,545,375,625,043,520,
441,021,155,923,428,632,475,849,970,585,208,109,870,428,596,909,994,952,759,
103,220,672,794,255,780,487,006,077,458,990,218,505,178,583,335,473,664,200,
807,642,901,787,212,331,434,109,167,255,014,081,464,731,481,693,365,353,395,
059,371,173,252,554,181,477,653,223,114,249,252,552,592,084,679,831,198,033,
892,569,921,651,299,476,464,226,284,681,827,324,837,502,227,587,905,658,954,
218,003,681,491,080,364,325,772,472,674,098,161,679,324,744,340,950,834,976,
796,753,227,681,058,115,296,995,240,632,426,015,663,214,521,085,725,666,468,
654,523,795,350,481,428,860,762,148,625,319,036,412,936,905,982,405,618,270,
327,525,444,431,856,768,311,814,805,873,886,089,747,679,333,232,792,821,972,
506,775,532,007,276,439,511,759,329,922,127,487,046,899,359,351,757,563,218,
530,015,129,219,625,578,386,985,093,249,241,725,162,676,006,845,392,360,045,
569,758,956,952,838,375,342,976,265,360,167,587,331,929,513,105,486,694,851,
437,202,191,257,039,974,533,697,955,162,477,104,620,071,806,982,401,741,288,
520,861,842,204,197,994,651,231,677,060,958,159,186,101,872,382,138,088,768,
432,659,425,912,455,713,035,136,290,027,466,458,682,957,032,997,862,662,461,
557,808,625,832,351,590,940,735,841,536,453,294,103,269,357,794,616,450,630,
696,792,764,212,737,603,079,572,994,994,109,370,399,973,765,222,711,743,548,
088,779,332,505,964,396,908,436,511,239,868,353,857,886,145,498,296,221,117,
383,567,698,657,290,187,190,793,366,192,227,980,519,973,585,260,390,466,074,
506,285,946,055,338,548,849,146,181,613,578,818,581,525,807,510,795,089,246,
038,354,741,153,415,119,163,593,145,854,940,943,655,090,254,029,148,980,860,
835,452,778,663,834,982,059,212,043,540,451,895,840,591,060,753,424,629,840,
696,415,277,007,436,648,473,118,800,970,068,159,858,685,450,479,148,030,924,
133,204,731,582,985,601,244,159,302,894,588,291,079,813,070,821,686,130,466,
749,121,598,515,516,906,682,375,835,672,068,168,568,345,008,640,737,839,030,
866,086,679,755,935,700,424,520,133,678,553,038,032,497,304,268,130,581,340,
618,446,875,773,822,207,228,457,396,761,777,497,779,832,278,704,594,744,069,
862,115,626,488,439,300,568,827,736,987,954,302,953,534,379,013,885,129,324,
450,998,540,139,341,890,871,791,188,513,488,215,718,158,473,288,874,455,454,
941,857,504,163,815,248,875,895,229,882,673,210,787,471,995,177,363,541,900,
571,882,501,614,669,946,741,910,573,773,716,344,212,652,526,405,714,520,374,
094,774,860,397,261,219,208,820,565,731,447,219,151,711,653,305,628,803,063,
664,605,454,685,193,025,247,799,215,780,968,251,694,525,952,710,323,623,589,
261,701,140,930,977,653,650,318,339,072,843,111,844,509,634,234,411,607,279,
363,661,124,373,958,697,036,516,918,513,162,916,550,043,288,716,121,802,428,
563,709,190,486,487,251,009,876,140,831,300,401,539,845,530,959,932,774,906,
493,463,882,852,582,476,848,979,168,484,424,480,439,532,602,674,853,881,271,
996,363,248,634,481,569,170,702,767,221,039,351,108,252,982,762,066,300,544,
067,463,278,376,174,499,786,530,016,552,419,096,298,380,642,309,251,500,940,
527,975,504,012,203,890,869,502,462,882,303,683,383,697,970,463,036,254,378,
425,444,769,203,264,643,776,661,551,324,222,072,387,640,186,869,965,747,428,
611,680,846,129,571,303,550,731,700,117,294,008,651,499,583,025,076,361,631,
228,252,786,428,914,195,615,866,252,559,749,354,007,890,426,979,863,436,229,
589,146,564,388,960,898,378,934,150,964,982,479,227,120,818,673,659,592,989,
177,931,388,488,525,914,300,003,904,373,540,684,892,802,061,322,570,331,042,
182,849,286,390,572,270,212,349,216,678,238,569,869,231,825,170,127,815,390,
727,552,210,801,779,115,861,722,948,533,287,042,566,174,806,104,403,012,965,
985,288,226,127,551,890,933,494,784,647,473,847,939,853,967,748,340,560,760,
089,159,656,919,494,856,887,698,764,725,161,835,543,777,041,891,277,254,107,
656,683,386,008,110,771,644,531,663,661,621,545,544,938,028,457,152,649,210,
564,081,006,523,520,017,299,061,888,677,521,388,000,268,007,784,159,226,248,
233,216,020,468,241,733,765,989,215,051,849,028,404,861,313,440,023,163,932,
659,994,941,132,773,960,369,185,349,591,402,158,261,221,492,812,971,903,173,
390,319,693,956,319,258,361,547,838,790,699,740,616,626,091,335,125,317,794,
742,517,651,293,425,211,776,504,366,765,672,144,721,877,948,635,927,121,385,
988,943,805,380,937,803,146,005,640,095,862,209,703,378,593,016,950,991,768,
283,683,726,215,233,623,607,325,081,072,889,290,128,939,031,922,223,798,857,
413,586,148,515,948,631,793,296,051,607,461,167,020,568,367,144,040,273,845,
344,721,002,768,068,332,156,644,705,201,031,074,899,608,223,955,856,671,869,
375,711,464,813,479,388,194,533,085,783,606,348,121,978,675,898,109,269,281,
942,742,338,197,400,863,148,320,025,240,386,384,688,811,734,891,719,695,754,
948,754,508,531,087,693,712,150,710,911,622,124,424,556,422,928,648,210,427,
023,241,636,100,719,495,173,629,158,329,202,069,363,675,711,306,267,094,217,
642,412,407,354,198,073,713,080,620,001,840,499,085,562,245,729,505,353,910,
013,512,802,033,140,220,633,832,905,517,596,990,364,778,108,268,351,945,855,
727,595,419,089,124,656,143,010,769,485,220,699,900,377,229,066,718,920,815,
555,942,317,410,042,413,669,118,653,785,019,271,836,938,303,166,980,292,879,
822,968,117,838,374,220,307,248,867,189,284,395,282,544,093,604,570,832,526,
600,330,862,947,107,955,642,029,676,530,014,623,981,397,906,804,897,335,172,
596,656,576,553,767,591,168,718,493,941,716,029,140,353,683,411,525,366,059,
992,727,931,226,067,912,498,127,047,668,609,166,569,400,354,306,556,730,955,
316,394,368,767,093,165,508,076,649,121,304,683,169,250,816,122,488,573,353,
302,005,296,265,064,014,930,544,261,736,299,432,319,702,022,510,675,240,101,
391,656,976,246,287,666,844,551,485,026,125,875,852,323,800,060,874,994,956,
092,537,088,849,799,413,863,317,869,101,230,112,790,734,260,203,140,635,815,
426,658,903,362,429,925,786,089,219,587,283,638,874,424,211,221,016,840,400,
104,651,816,328,483,127,025,347,826,000,524,298,816,986,000,930,710,641,031,
354,984,469,892,223,248,258,492,767,778,810,054,979,597,557,027,333,961,320,
508,521,540,863,703,218,018,490,009,774,455,427,776,354,586,240,917,662,264,
966,181,421,787,197,033,009,467,390,596,099,291,283,632,217,529,558,717,785,
258,177,581,684,043,195,934,861,213,522,399,717,337,405,950,856,694,490,779,
644,329,165,987,753,772,661,040,563,145,273,293,377,290,826,937,801,874,892,
502,848,807,105,416,522,642,767,453,347,319,757,243,307,238,128,174,664,791,
286,963,268,132,267,816,984,118,031,537,032,443,902,225,364,939,275,593,557,
394,015,674,103,415,000,038,523,554,215,669,978,487,636,996,170,271,242,534,
289,791,198,216,446,903,754,013,303,917,221,756,627,005,525,921,515,062,764,
661,686,322,257,416,883,960,029,096,038,845,381,851,289,047,753,765,488,355,
546,220,410,979,963,354,527,063,965,781,858,995,386,772,483,000,452,953,788,
101,102,178,781,562,050,689,999,385,328,057,964,162,158,200,439,817,948,296,
531,337,471,210,555,324,074,808,452,558,589,493,120,190,742,209,950,910,831,
399,994,136,383,174,691,025,643,076,619,362,844,983,865,749,139,398,694,296,
646,715,967,419,016,930,104,398,202,856,251,242,732,153,437,441,233,220,660,
924,809,890,940,666,624,743,963,061,682,098,741,172,766,273,339,222,213,556,
612,167,421,028,918,942,684,337,951,290,749,232,531,222,796,075,591,992,390,
587,395,735,836,223,144,311,039,663,429,324,704,696,457,555,117,151,035,879,
157,914,419,699,273,036,618,643,275,754,829,198,602,324,659,397,819,954,260,
868,314,740,178,131,197,975,398,313,720,426,235,551,702,370,663,449,877,090,
916,556,530,410,884,759,408,787,815,304,700,681,930,977,740,297,745,266,235,
080,832,032,674,258,172,729,586,522,431,575,634,737,691,369,458,864,838,496,
452,435,710,627,986,531,327,947,965,544,175,338,988,175,244,174,288,107,017,
781,217,591,595,486,323,046,834,861,889,503,892,456,970,428,583,605,135,415,
487,854,360,256,255,069,570,704,764,956,677,284,980,815,760,388,912,970,395,
979,155,104,107,438,398,254,417,672,972,057,715,185,498,398,480,317,056,030,
393,312,397,225,390,734,741,506,699,892,274,776,300,517,595,670,770,873,120,
278,665,999,571,698,576,424,473,881,631,763,618,176,587,925,448,578,926,975,
004,642,745,687,404,738,767,732,178,193,726,162,650,300,228,563,206,710,541,
684,832,102,505,192,170,454,303,292,033,227,067,766,101,986,452,891,360,634,
352,378,512,666,221,416,214,054,477,799,022,464,503,211,661,483,441,027,100,
300,514,260,876,755,563,801,947,913,004,806,220,633,669,715,495,714,531,227,
536,899,764,737,373,472,562,171,275,390,273,159,410,313,747,806,125,940,950,
311,068,884,463,651,725,839,176,582,094,752,683,992,666,083,145,699,710,118,
959,352,771,036,060,480,750,323,278,832,942,366,597,592,204,077,555,128,958,
658,798,093,306,332,016,760,259,481,080,467,293,040,991,818,146,752,330,382,
528,733,613,734,582,336,807,371,458,096,906,969,978,761,217,154,368,874,056,
447,915,649,459,905,048,360,319,844,100,461,889,848,231,722,683,766,562,005,
828,203,162,702,737,475,268,691,617,302,388,051,856,719,546,000,149,886,501,
779,736,091,570,841,575,223,060,760,654,524,802,030,977,810,251,076,046,429,
393,621,606,235,303,981,670,699,666,937,063,149,794,955,869,255,173,862,659,
798,027,320,227,902,058,417,901,635,112,213,332,136,245,278,778,048,843,896,
347,213,308,977,538,903,574,052,457,111,672,377,333,522,985,119,855,210,923,
002,679,722,951,266,429,662,159,253,224,765,688,901,531,845,860,057,757,505,
647,001,528,879,804,173,113,758,532,600,543,102,801,249,792,213,112,932,334,
709,332,018,773,648,945,036,248,569,526,490,201,173,889,525,242,257,660,881,
366,778,170,997,718,618,579,707,698,786,806,312,493,005,866,508,038,509,210,
657,922,865,926,226,671,865,029,323,769,186,751,936,815,134,023,526,514,558,
410,250,749,623,357,928,411,987,623,082,727,189,588,151,173,353,961,081,337,
804,278,506,321,878,907,244,155,444,270,079,393,993,174,070,929,668,355,576,
529,812,943,772,547,914,498,023,383,365,959,918,226,777,603,162,270,812,878,
985,142,260,010,705,783,534,091,857,476,589,914,634,974,223,931,473,905,396,
291,887,276,947,196,789,577,673,821,024,949,000,683,206,064,080,648,105,576,
327,177,246,006,432,636,076,596,032,818,098,666,134,000,871,081,595,999,836,
737,810,257,146,528,490,898,068,733,149,650,834,295,299,472,441,732,879,238,
903,074,190,735,981,404,418,838,376,032,251,675,931,175,564,146,785,615,086,
064,839,792,856,925,054,767,058,525,254,614,296,614,971,029,780,632,130,935,
252,228,973,218,843,967,585,405,534,574,281,820,682,814,415,813,517,983,171,
389,268,578,648,061,592,079,067,240,278,561,963,659,791,609,798,032,266,891,
040,037,651,653,765,846,064,708,961,043,861,660,074,639,612,555,823,271,804,
252,999,125,525,257,301,736,675,805,251,611,558,437,844,903,798,737,410,491,
042,315,700,556,507,873,111,604,748,378,783,992,539,859,815,448,998,073,237,
953,582,043,519,717,998,771,065,598,909,530,529,938,967,880,417,892,581,468,
179,401,947,595,885,835,707,325,931,079,706,119,053,070,318,594,796,864,606,
131,854,344,401,336,836,047,633,522,640,346,457,197,139,655,535,928,369,718,
946,389,757,325,013,775,952,393,709,543,930,471,936,214,801,993,784,558,518,
527,625,622,474,031,094,420,592,467,909,092,828,561,377,542,765,961,249,410,
052,470,059,685,582,149,204,825,694,209,184,860,682,875,838,277,165,902,336,
604,878,604,522,158,806,508,445,915,487,992,302,281,679,522,114,693,299,105,
365,654,925,771,651,956,982,727,136,955,173,548,737,132,386,995,345,549,801,
528,898,544,239,597,553,405,073,091,864,852,498,032,734,444,486,127,621,932,
578,436,391,275,632,569,532,708,240,319,009,076,647,624,144,286,677,869,350,
801,403,438,270,922,867,522,359,093,833,943,281,681,680,563,673,120,614,568,
410,335,543,097,782,834,950,687,861,807,396,470,299,321,182,901,237,203,114,
447,588,564,215,425,849,624,798,251,702,537,106,677,388,669,895,748,127,032,
496,692,582,333,719,158,379,075,673,545,199,115,337,857,487,618,401,013,711,
372,762,394,026,556,204,220,642,328,892,501,930,926,861,269,442,009,713,215,
086,560,954,248,072,756,807,519,553,178,591,414,053,114,826,541,051,447,380,
824,481,364,781,364,459,408,771,741,267,495,406,965,810,731,119,626,263,934,
122,467,287,895,562,447,997,117,731,705,454,378,756,067,698,000,995,460,577,
810,418,702,918,522,186,175,707,344,837,821,667,903,097,034,889,456,535,091,
184,447,385,195,980,878,388,680,814,262,797,441,067,455,729,373,531,948,347,
121,254,886,267,834,482,630,646,824,723,983,154,807,175,999,223,269,676,707,
040,273,905,864,428,008,105,971,600,325,373,941,424,661,165,668,166,369,951,
666,039,935,180,745,903,358,992,563,262,158,271,067,117,193,556,116,827,920,
706,019,957,617,457,594,563,188,069,304,012,252,169,442,002,816,994,974,320,
832,108,945,136,360,471,818,416,524,500,536,615,823,424,366,534,379,727,231,
515,740,692,325,553,015,389,818,960,040,785,068,213,160,814,623,998,474,686,
395,197,350,738,195,787,504,744,664,226,619,703,909,169,137,347,558,907,137,
832,043,749,518,793,499,002,272,339,634,180,824,342,081,761,238,804,722,598,
661,565,634,723,113,009,193,904,484,819,360,298,648,593,762,829,113,762,543,
793,842,365,616,919,908,949,031,319,206,691,396,439,151,419,305,717,802,971,
413,034,758,190,512,297,166,224,312,896,066,405,379,983,912,798,918,084,335,
010,169,641,077,548,200,116,632,622,310,314,249,092,260,504,088,506,290,160,
393,864,700,818,482,343,609,429,667,833,122,230,436,127,415,901,684,734,704,
003,102,748,590,303,249,852,215,385,810,023,903,321,223,203,530,979,350,862,
388,513,204,787,909,677,283,322,855,351,469,134,997,175,251,419,076,168,139,
275,778,427,807,038,440,662,916,490,120,430,701,252,185,814,517,130,447,504,
899,885,908,067,308,355,368,646,014,005,231,421,119,620,346,705,821,454,282,
224,630,913,576,356,135,084,970,455,021,020,960,411,996,086,287,536,401,690,
710,353,493,450,271,793,139,276,507,433,750,049,788,985,884,646,420,364,935,
097,258,987,317,214,138,902,956,453,077,215,758,238,296,478,754,762,905,861,
294,821,514,801,678,196,539,362,779,224,696,812,155,709,084,089,807,735,026,
436,928,084,317,312,037,881,548,932,734,670,662,631,001,290,190,805,091,876,
521,074,953,864,792,561,216,702,147,546,384,317,632,423,168,705,389,685,429,
700,392,747,085,783,036,038,378,675,913,902,965,832,498,429,800,123,354,761,
495,091,122,910,621,900,032,311,005,892,249,124,321,637,534,497,459,376,891,
557,442,879,130,310,324,520,039,324,652,479,411,549,748,114,307,742,333,974,
715,001,697,533,075,130,218,422,513,495,921,124,322,926,721,888,054,586,317,
167,327,258,315,259,358,870,849,382,792,742,400,541,269,727,362,533,830,379,
545,346,932,687,285,366,025,276,991,095,461,804,411,898,002,230,291,771,978,
102,461,142,812,424,064,989,763,722,671,494,371,498,958,353,675,410,314,272,
851,175,169,962,408,329,641,368,194,128,612,723,706,021,532,617,579,582,792,
599,388,267,898,900,364,162,855,744,316,926,233,108,747,919,665,413,500,903,
911,726,945,079,707,942,749,222,733,708,377,157,798,372,204,473,770,098,744,
825,555,865,937,601,028,275,820,612,665,019,141,861,388,646,463,372,681,743,
268,010,530,342,356,284,826,779,791,434,716,876,081,760,209,509,270,814,007,
821,486,530,759,387,592,643,864,448,397,558,074,869,784,752,511,230,286,420,
784,343,203,216,619,934,500,843,512,691,577,449,880,698,457,202,953,524,086,
604,648,800,470,712,996,061,579,656,923,745,722,696,071,933,557,483,545,653,
238,749,653,362,072,030,800,918,378,130,270,974,822,034,029,425,666,151,632,
190,764,543,009,292,215,268,570,881,965,573,427,838,332,835,787,882,481,404,
137,503,562,106,942,811,996,191,025,695,478,494,521,674,644,528,431,119,551,
319,835,103,379,453,560,260,198,026,283,949,649,828,049,523,300,777,166,500,
102,209,275,767,355,035,398,246,025,293,986,891,875,241,917,938,695,200,794,
475,541,747,845,122,695,370,625,689,233,440,994,993,952,081,696,516,847,746,
183,065,508,792,090,498,369,000,086,395,754,892,995,744,393,870,041,621,822,
451,121,050,587,307,114,950,633,821,747,339,939,089,005,737,414,513,691,559,
766,446,415,956,661,747,159,763,950,074,464,062,855,916,255,825,193,854,046,
483,557,849,687,657,516,717,568,423,010,456,338,031,474,863,451,341,476,259,
920,025,947,752,698,651,280,839,133,415,428,956,425,586,096,823,262,761,756,
045,758,388,090,937,287,041,528,849,235,167,830,902,051,010,672,071,454,720,
229,726,786,293,898,182,252,422,131,002,599,511,982,340,520,116,434,541,275,
732,366,516,440,607,109,354,968,144,325,148,268,368,927,582,390,893,649,642,
696,885,545,851,558,235,635,698,347,473,822,935,809,903,906,627,277,218,018,
619,986,118,649,671,815,996,363,209,455,795,983,391,080,579,147,205,481,140,
931,779,000,948,556,705,547,911,536,454,182,452,528,158,642,422,186,283,991,
105,927,869,559,988,141,299,773,841,509,618,637,376,001,025,067,639,240,825,
341,197,818,713,060,993,829,804,156,938,668,654,812,318,932,980,997,612,972,
979,101,777,999,826,188,988,041,207,433,479,923,135,426,036,684,256,021,785,
867,592,893,763,921,592,977,435,909,810,726,937,513,636,185,387,026,590,317,
604,369,522,605,685,725,462,209,429,230,560,873,885,616,252,697,957,191,283,
129,529,997,087,402,996,025,511,191,010,951,254,854,164,011,281,528,128,144,
910,059,041,295,061,363,385,808,881,372,506,234,661,997,791,163,595,998,233,
419,868,970,853,399,180,777,160,019,519,598,904,619,528,704,044,796,837,743,
197,562,995,077,630,632,828,814,348,721,901,557,716,492,886,945,783,834,477,
288,212,602,159,279,078,569,582,605,346,869,874,672,435,988,061,694,527,549,
848,647,625,466,576,268,138,074,857,486,376,251,235,004,656,318,994,597,792,
486,988,023,683,082,339,345,314,737,571,441,428,416,146,216,359,971,296,024,
145,461,715,395,921,989,906,340,498,333,591,917,330,481,046,823,454,631,602,
689,201,957,216,776,068,361,913,941,317,906,408,338,740,729,369,026,709,581,
225,036,812,986,124,300,840,018,866,143,805,328,340,744,069,589,524,947,467,
488,798,414,869,529,367,700,752,637,923,966,786,888,412,665,658,011,337,991,
061,880,470,389,115,432,655,585,626,323,265,949,197,516,232,687,742,959,166,
847,841,694,865,403,214,850,431,089,242,458,610,051,254,718,819,816,930,691,
820,000,755,968,121,678,866,253,327,097,024,212,222,506,217,115,597,403,742,
848,143,384,099,317,057,798,302,983,243,916,947,721,083,401,308,145,209,857,
041,173,897,892,974,891,986,861,502,587,575,316,075,144,522,969,314,032,673,
065,366,088,126,071,310,309,609,090,825,280,415,791,351,581,953,415,267,994,
129,381,502,741,324,344,123,087,391,474,870,740,640,440,433,165,123,864,145,
219,716,085,193,855,079,224,739,630,111,498,217,816,749,808,881,118,725,033,
704,252,947,157,842,118,199,619,993,240,185,781,954,998,717,773,318,812,804,
501,119,789,452,587,161,150,555,993,566,007,597,912,312,701,788,755,081,884,
997,070,127,695,715,340,197,798,065,625,259,168,838,796,523,895,035,574,232,
664,022,164,442,874,303,179,030,421,724,791,190,294,308,334,689,322,020,008,
055,181,997,330,005,914,040,690,721,576,912,267,145,458,657,497,602,745,437,
866,203,393,010,428,279,376,959,648,441,457,780,063,214,040,758,967,267,583,
244,479,461,643,329,746,923,577,404,303,401,613,622,974,778,176,081,673,539,
132,867,058,999,919,633,074,979,044,547,383,544,165,908,507,474,077,924,153,
757,987,098,799,677,018,274,021,051,633,116,919,651,567,214,391,638,931,366,
384,192,009,385,570,181,962,036,544,253,433,728,366,934,857,287,524,327,354,
615,900,159,457,172,324,063,653,298,422,978,856,277,659,368,594,301,694,410,
565,390,582,610,032,942,667,736,510,174,618,067,383,018,840,053,544,858,047,
833,917,470,591,280,007,910,838,657,536,211,648,749,180,411,859,241,899,640,
165,250,230,139,887,401,934,879,968,971,626,816,928,159,964,740,479,245,998,
184,821,949,681,599,976,233,337,515,413,609,183,463,511,720,365,774,582,148,
880,576,662,092,574,854,529,697,677,600,645,168,307,604,078,679,057,161,968,
847,341,578,161,086,773,485,917,426,747,973,386,418,129,002,000,377,658,546,
388,111,125,545,341,335,275,526,767,926,625,172,426,841,404,317,531,523,637,
873,470,613,428,305,901,048,597,355,789,649,636,974,432,722,674,045,110,537,
693,730,582,000,132,243,059,604,357,243,326,169,697,816,746,087,625,712,388,
087,281,694,536,719,352,933,920,269,260,879,146,491,208,977,500,991,126,782,
479,164,443,149,567,732,717,000,617,360,443,661,759,237,251,976,342,662,435,
977,089,258,816,251,218,871,685,023,948,122,967,725,153,523,108,951,090,148,
687,484,386,804,586,807,717,800,700,945,885,009,851,918,537,582,516,838,892,
831,524,490,690,800,958,330,279,701,553,460,264,639,567,793,641,062,649,197,
285,012,329,529,142,530,241,912,727,670,692,212,245,910,815,295,181,228,002,
866,829,645,900,681,256,702,028,950,605,148,962,916,199,915,701,559,662,595,
680,061,950,243,065,295,819,464,460,570,028,705,764,077,614,418,885,840,053,
607,053,696,852,269,616,832,065,144,765,450,619,484,625,556,164,000,631,995,
199,754,328,297,987,309,961,072,444,802,772,169,998,578,125,012,906,462,348,
613,343,126,755,340,769,135,829,120,108,228,620,397,669,947,802,058,943,733,
464,442,205,620,615,645,832,211,139,213,252,612,688,541,531,855,981,705,338,
711,290,999,016,717,757,089,349,769,551,194,558,537,418,998,084,654,907,350,
561,364,370,107,680,364,103,257,980,197,581,141,669,952,659,267,555,426,454,
666,692,424,029,222,614,784,466,880,040,269,374,335,545,480,506,305,765,686,
094,634,047,660,995,755,913,650,933,296,726,867,557,349,928,863,208,280,564,
381,308,847,623,475,427,972,737,563,736,642,886,462,060,881,612,926,684,816,
148,010,581,778,272,863,985,846,382,674,728,695,229,083,712,585,623,842,246,
516,449,836,200,096,289,690,976,500,383,313,214,809,127,597,849,042,114,551,
788,527,929,324,563,667,543,551,762,982,321,278,965,903,969,346,475,832,633,
746,238,718,985,247,633,439,131,547,672,913,133,865,425,288,030,948,462,432,
600,631,621,728,388,922,440,347,933,549,554,520,274,170,974,362,500,008,416,
070,706,405,543,937,750,745,965,413,830,636,364,942,331,394,421,487,574,476,
882,704,975,701,193,718,953,040,976,069,122,072,698,788,805,606,721,705,160,
363,611,705,623,340,508,208,174,564,844,180,177,819,720,458,116,145,903,787,
701,227,073,810,299,998,389,846,016,226,454,971,765,664,490,023,674,275,990,
870,825,520,284,616,883,208,354,416,167,827,499,881,956,705,286,195,010,159,
024,511,657,195,714,076,392,179,372,279,809,712,849,767,953,924,065,914,674,
678,033,868,397,350,159,741,786,306,683,132,485,016,025,697,503,999,810,338,
053,907,809,904,576,120,633,121,910,733,098,282,190,825,895,882,916,099,614,
035,902,274,804,578,043,971,651,271,548,120,970,852,299,698,797,976,413,934,
543,370,066,002,686,804,639,663,676,412,723,365,139,797,099,756,708,145,144,
232,979,473,824,988,562,192,965,962,314,685,497,864,228,339,688,045,589,516,
367,331,499,414,269,169,252,080,156,172,929,152,049,109,257,234,478,294,092,
362,325,317,103,169,329,172,125,455,151,083,277,473,087,422,172,442,290,512,
294,274,561,187,970,651,532,581,764,472,397,539,503,856,507,276,515,301,573,
366,402,995,148,884,256,703,681,893,284,352,119,975,947,947,356,560,341,447,
964,236,878,287,618,675,312,798,118,450,188,352,293,276,305,001,233,193,727,
086,995,918,620,078,600,939,140,438,060,002,919,261,626,556,732,012,317,511,
054,580,948,712,020,064,871,762,216,151,027,113,376,432,780,289,875,819,378,
023,180,457,384,104,441,976,499,614,693,719,895,008,678,438,502,037,793,156,
722,493,868,916,950,038,917,951,076,957,758,341,700,961,876,700,865,846,152,
304,301,812,546,211,890,263,391,528,764,707,165,426,964,138,082,918,955,087,
814,283,220,242,596,843,918,939,324,579,360,400,013,133,324,606,377,058,751,
105,580,315,356,589,448,682,659,083,011,210,132,677,215,617,716,465,900,150,
029,971,524,728,105,185,114,979,450,271,723,104,858,276,576,632,468,971,864,
704,231,748,211,980,319,191,359,194,465,372,200,241,364,156,296,103,797,886,
110,848,042,965,456,635,136,875,055,615,202,182,263,364,154,913,906,265,327,
040,607,011,204,846,363,021,141,801,173,405,631,091,332,464,692,679,645,971,
486,534,720,561,134,990,795,171,460,834,285,963,207,765,744,516,449,463,964,
461,801,231,595,904,745,767,021,589,023,063,945,188,260,055,034,688,487,223,
209,328,870,810,830,955,387,453,498,613,104,043,049,857,683,866,470,931,804,
764,909,120,313,943,168,720,369,497,510,077,615,526,415,896,332,432,986,064,
441,873,016,118,014,352,080,318,049,567,109,619,151,644,627,310,252,603,598,
638,207,469,910,188,282,109,927,675,829,288,931,906,238,179,270,934,140,550,
848,018,564,019,434,753,929,490,196,489,595,319,019,450,439,064,955,312,394,
015,830,731,650,592,596,266,829,640,804,905,023,848,808,807,375,613,479,540,
155,945,378,475,792,172,527,342,898,670,886,071,348,267,464,181,490,343,136,
643,950,801,905,829,303,516,119,354,207,158,459,550,522,934,724,517,716,390,
411,418,954,674,507,238,122,065,839,956,130,780,691,968,498,254,503,840,505,
419,868,942,990,900,955,849,536,617,111,221,386,770,882,502,156,714,980,010,
517,964,163,430,644,189,803,085,224,787,907,298,545,056,990,323,011,180,961,
748,358,540,245,043,378,525,398,694,253,353,398,478,051,286,576,020,237,704,
029,515,458,342,363,082,159,127,423,312,732,217,138,709,470,142,109,078,686,
491,712,877,444,051,991,154,271,478,082,560,370,800,561,629,924,478,115,503,
997,591,808,771,049,700,042,317,043,463,295,883,674,524,658,149,973,813,755,
312,349,073,278,366,559,247,589,645,940,861,909,045,169,201,776,734,344,020,
018,580,346,377,373,761,686,988,591,278,880,826,466,023,735,896,228,795,604,
159,155,346,451,304,523,073,543,766,533,082,433,583,364,690,392,937,343,521,
653,296,050,998,297,485,477,685,713,214,211,788,560,910,402,199,186,417,076,
659,824,104,599,643,709,115,392,702,165,893,967,423,839,404,517,274,875,178,
801,872,344,527,231,788,862,751,793,699,319,639,465,898,271,943,421,030,566,
112,115,394,449,136,527,696,752,227,460,522,510,716,790,661,454,170,907,143,
812,710,201,349,425,264,989,413,769,257,835,365,117,737,906,627,474,424,988,
551,457,123,886,049,445,811,981,413,304,420,793,534,182,747,748,506,984,054,
116,512,530,417,775,297,963,997,616,412,417,886,777,584,947,891,741,648,013,
088,932,709,608,045,822,750,622,993,413,673,386,601,002,058,241,464,401,485,
203,671,712,019,188,604,984,477,438,058,044,268,644,008,964,576,238,636,957,
037,743,483,939,851,414,981,774,060,119,494,868,429,119,392,278,776,056,917,
094,146,456,825,061,987,215,886,037,966,195,537,013,223,986,123,434,645,161,
991,485,021,764,818,989,117,898,179,239,309,479,533,859,304,455,028,722,486,
920,417,757,351,588,271,939,553,160,301,679,769,485,144,322,651,658,063,731,
051,392,326,576,304,336,554,315,592,728,919,404,813,372,492,772,048,084,959,
102,076,604,404,444,460,479,326,263,957,767,027,603,475,735,624,298,596,463,
102,437,007,054,262,699,918,113,238,322,823,499,399,023,160,302,547,367,311,
449,307,833,731,176,321,503,002,102,571,153,848,759,764,681,116,220,569,235,
387,046,354,871,087,209,275,831,455,882,216,818,232,877,532,718,709,752,885,
559,941,525,462,085,806,574,377,787,587,993,565,892,118,561,360,327,345,278,
402,923,854,190,547,106,371,136,533,679,978,358,317,651,381,452,383,489,770,
319,502,921,798,926,053,688,078,717,708,136,886,320,880,711,743,275,050,889,
876,304,936,190,211,845,899,603,201,176,823,919,645,925,397,443,398,687,600,
094,651,904,458,920,516,785,609,573,807,591,767,338,532,936,728,512,654,679,
851,941,541,165,761,957,047,497,382,516,837,385,581,512,765,963,506,460,347,
304,388,807,077,282,790,346,106,569,386,932,741,826,490,310,719,699,667,210,
139,219,805,144,151,833,373,878,698,056,853,565,685,305,224,306,293,815,560,
790,575,285,695,107,248,192,467,113,942,972,090,349,105,224,653,272,827,988,
219,464,643,396,566,397,275,860,659,105,206,712,333,652,279,791,983,475,348,
759,481,928,794,313,862,652,831,022,116,789,308,656,532,990,804,291,346,320,
458,827,989,792,881,788,244,745,594,790,638,847,221,420,241,463,864,806,165,
086,840,311,234,876,500,907,158,851,030,033,432,050,855,888,410,162,652,279,
627,228,325,835,608,468,831,579,164,380,870,130,340,612,397,354,976,872,418,
242,486,628,874,525,869,854,909,205,911,740,073,116,253,136,847,487,640,588,
257,832,524,019,159,690,956,420,922,524,660,691,268,741,437,498,753,104,087,
753,396,998,743,464,705,151,960,252,842,712,674,775,585,596,042,499,573,877,
726,236,334,077,190,787,950,092,137,501,541,802,243,382,943,602,904,183,616,
980,154,163,144,846,702,325,098,321,283,561,367,184,987,786,176,597,171,617,
100,708,013,750,493,497,741,617,845,712,026,922,555,866,979,724,950,781,342,
986,835,465,176,105,324,137,742,488,088,601,773,110,650,353,356,608,172,296,
488,728,691,097,211,889,508,261,244,027,387,383,073,476,749,897,692,586,236,
594,476,756,089,644,450,395,949,268,827,821,751,527,867,350,486,101,519,702,
533,581,530,368,251,291,773,737,949,815,296,116,646,765,577,260,954,152,326,
435,277,206,575,753,969,435,229,887,170,925,032,822,394,009,582,660,745,536,
835,817,717,562,029,052,024,072,334,495,122,233,192,323,469,972,707,038,878,
312,923,609,098,417,740,290,208,421,682,351,595,429,596,993,573,929,931,091,
218,040,133,185,310,084,219,487,994,261,874,924,288,970,174,192,244,203,218,
028,276,471,029,641,918,208,443,310,706,907,507,033,720,707,114,395,578,662,
133,963,323,104,847,938,331,207,450,989,208,920,253,232,041,714,505,834,836,
138,254,634,951,999,633,909,901,540,167,092,382,817,405,827,585,239,300,317,
229,590,501,599,448,120,711,799,283,307,464,589,104,448,998,628,883,349,210,
046,774,259,310,103,622,020,410,302,562,746,831,884,301,491,061,608,623,820,
911,618,563,025,664,909,060,022,832,844,351,109,687,652,750,632,812,511,681,
658,700,136,004,385,530,400,157,396,910,126,395,389,510,325,522,649,901,612,
898,693,211,854,307,414,116,432,747,991,810,354,189,434,517,609,832,779,891,
344,289,947,381,866,145,527,263,618,870,020,551,186,334,981,810,275,106,120,
001,479,329,147,243,348,579,940,241,339,000,654,664,641,908,874,786,496,330,
577,407,977,135,530,389,575,485,435,562,441,091,269,575,440,585,749,706,692,
526,417,968,934,511,520,590,676,279,359,487,747,419,409,395,051,485,401,652,
396,829,492,900,754,390,243,635,695,731,199,067,919,601,966,514,548,528,467,
225,574,707,529,637,832,419,825,412,749,300,222,962,954,776,277,767,571,620,
463,256,341,405,764,247,436,197,005,934,769,194,976,817,828,076,188,465,251,
546,933,484,866,902,793,419,092,913,092,223,159,624,921,143,292,911,487,869,
889,681,259,023,506,713,632,240,191,262,587,572,096,639,872,538,491,856,907,
217,918,571,361,051,345,969,390,297,878,749,776,030,404,428,426,117,302,907,
449,830,949,668,633,107,322,174,878,121,891,707,238,870,123,300,503,733,873,
064,858,787,453,667,321,422,503,194,076,324,844,982,858,019,980,007,537,582,
305,017,190,418,415,085,800,997,774,368,739,732,523,628,290,916,733,744,209,
154,071,718,667,119,969,043,690,641,077,067,649,623,794,420,560,287,111,377,
839,367,450,069,263,813,179,562,996,963,506,888,167,976,975,133,177,361,924,
536,937,043,792,098,428,929,012,672,281,334,773,430,925,698,363,954,359,579,
994,525,944,827,045,625,056,820,108,256,535,768,014,045,885,110,641,826,269,
148,864,063,314,855,921,241,097,741,696,703,349,826,885,575,570,505,263,188,
039,033,909,155,129,759,377,974,508,089,862,863,572,690,884,920,214,484,270,
009,559,183,775,043,046,746,643,578,142,592,998,905,089,621,388,652,492,390,
356,611,873,679,274,859,639,967,194,601,605,698,305,743,290,282,452,536,482,
672,777,279,526,911,560,188,808,820,230,038,101,042,865,324,052,579,184,236,
461,562,234,394,180,508,336,095,913,541,458,282,426,878,019,600,845,806,418,
177,784,439,404,607,285,476,574,822,128,250,666,005,025,380,459,683,816,799,
822,503,075,096,628,451,332,409,341,514,043,533,044,547,903,568,258,879,557,
506,130,668,987,415,461,242,472,864,636,116,036,246,904,393,187,331,587,198,
856,748,282,151,273,208,043,849,190,711,825,129,438,781,230,239,495,599,601,
662,142,737,068,680,652,490,876,178,603,879,131,156,379,433,029,270,156,067,
794,441,021,475,559,540,312,376,887,081,630,364,143,697,138,455,798,242,544,
345,132,286,911,930,720,134,568,646,271,985,723,695,922,739,328,725,738,906,
705,368,634,092,867,797,409,800,582,055,872,675,489,538,305,638,668,917,501,
733,597,168,769,779,490,448,158,005,928,339,069,198,480,402,085,221,140,750,
701,530,293,523,635,959,729,893,169,170,123,868,208,512,055,952,828,766,808,
598,180,320,273,986,179,542,853,024,254,067,733,246,604,972,177,598,856,874,
198,272,919,298,580,882,131,947,491,571,660,114,138,714,638,282,842,794,551,
388,959,563,589,628,433,851,287,772,896,711,822,533,159,010,065,850,777,015,
585,319,780,323,967,775,202,474,550,295,369,776,937,865,433,777,852,886,212,
523,578,503,487,347,761,221,451,037,358,356,671,761,231,688,412,592,396,303,
711,675,353,652,941,448,865,065,916,981,495,605,295,382,268,581,332,100,165,
809,219,490,945,136,410,896,247,379,459,570,547,321,161,844,014,295,024,216,
680,475,086,495,045,903,713,541,614,384,020,998,070,545,052,531,836,204,109,
793,628,507,596,649,533,191,280,711,028,187,854,315,285,049,912,957,394,856,
405,713,997,532,382,973,567,200,891,725,454,580,342,257,672,147,344,002,647,
380,426,306,414,735,996,323,902,490,723,566,182,487,020,639,435,319,869,131,
182,168,728,694,053,895,276,177,630,385,890,294,700,579,356,858,294,392,539,
699,886,434,589,111,935,265,421,623,978,180,819,159,982,439,349,114,798,118,
815,900,544,384,055,463,454,614,544,792,867,837,834,535,340,923,904,136,215,
449,638,895,657,195,342,816,219,074,183,570,972,170,602,035,449,109,014,902,
332,730,621,840,340,000,511,206,540,822,181,460,965,112,308,157,405,532,453,
232,944,484,526,586,649,120,058,071,720,287,858,990,040,939,635,086,751,656,
529,827,386,757,870,339,880,869,410,384,700,894,345,247,273,682,895,608,352,
417,185,615,740,337,001,464,763,591,601,648,763,067,357,433,065,728,806,025,
946,159,982,828,015,056,449,845,578,210,405,711,329,695,824,611,300,113,497,
843,365,786,468,264,901,935,111,281,384,175,239,253,658,197,066,973,690,329,
258,852,001,399,672,170,041,247,490,906,300,586,437,783,473,855,355,359,134,
890,077,296,996,012,649,057,080,351,596,163,271,347,352,853,081,170,740,130,
152,685,239,507,130,122,161,949,061,694,327,811,349,967,625,999,114,858,061,
988,684,420,887,493,644,744,603,631,251,515,393,051,620,181,214,204,836,657,
305,007,944,702,345,280,051,832,730,601,505,677,106,502,630,625,742,910,527,
450,065,143,882,088,811,881,917,079,902,286,025,234,832,363,431,778,832,890,
885,910,743,375,253,120,803,054,111,352,854,759,406,260,709,610,420,116,086,
332,448,395,944,954,894,880,885,416,508,874,345,171,275,808,555,790,673,161,
738,996,676,373,562,793,905,664,316,471,007,489,378,817,137,133,787,437,304,
672,650,740,894,265,116,411,690,521,247,126,663,380,223,978,040,658,991,480,
553,766,109,884,735,876,829,041,427,704,589,871,882,963,791,735,001,701,892,
790,210,531,776,409,648,922,578,997,196,532,466,314,638,411,730,735,662,103,
974,028,986,171,244,380,597,814,007,341,593,295,290,332,989,001,502,387,023,
458,150,405,548,293,579,988,151,910,520,629,434,893,552,390,443,933,958,363,
796,111,982,635,042,356,562,204,567,664,302,981,995,091,239,520,848,148,854,
616,113,755,113,009,872,681,799,353,470,745,183,236,099,289,619,112,487,344,
651,417,948,301,937,830,270,725,749,979,396,398,768,809,883,974,906,310,121,
959,492,159,206,372,611,511,432,142,366,085,957,507,823,821,301,416,896,838,
116,782,667,168,643,063,698,237,942,920,065,359,148,197,585,075,182,688,286,
539,049,903,426,203,730,636,149,275,450,910,925,962,658,469,350,294,501,297,
544,133,420,012,815,008,110,706,414,477,541,100,529,448,133,310,586,323,920,
606,855,152,273,866,835,013,158,906,194,095,462,820,788,717,487,906,016,267,
900,630,036,989,732,530,668,025,141,551,890,944,652,874,733,212,417,510,604,
854,693,352,050,648,477,822,756,952,291,136,031,044,971,102,186,564,633,526,
248,736,868,575,691,282,251,300,811,232,361,538,771,493,672,833,112,984,866,
800,163,138,268,206,332,249,672,988,603,894,233,484,280,214,510,928,590,425,
740,478,441,450,261,492,064,647,467,882,661,048,110,545,621,366,978,082,284,
588,289,953,057,876,271,990,995,240,902,587,714,383,269,291,134,737,988,577,
655,150,772,700,460,316,946,964,566,636,441,341,448,883,562,774,517,056,217,
490,786,893,190,640,801,416,487,137,102,958,239,588,810,754,659,518,894,077,
945,049,437,187,462,708,672,675,607,582,867,518,913,027,559,185,270,936,156,
626,874,717,921,646,455,039,874,024,168,057,006,207,584,715,714,021,148,460,
183,919,121,039,253,691,481,563,828,915,199,134,457,923,933,491,154,849,759,
488,162,185,236,119,823,852,776,529,098,978,163,213,548,068,990,679,620,709,
073,649,250,855,642,556,884,442,729,208,680,304,390,557,178,617,853,635,524,
323,366,111,438,684,020,643,848,093,641,048,982,415,354,008,381,862,307,731,
484,707,362,619,617,547,425,661,849,577,407,859,930,077,735,787,844,564,790,
775,742,298,573,247,393,450,967,008,343,085,559,103,204,644,955,557,336,167,
854,402,407,614,613,369,367,955,073,989,734,146,414,022,148,674,667,230,780,
904,362,283,905,056,491,678,678,079,989,933,454,897,138,780,458,523,780,809,
834,648,038,317,343,503,550,500,404,845,982,176,979,518,781,012,384,509,468,
163,651,839,337,778,175,834,105,298,231,624,484,803,026,552,233,556,993,367,
104,190,036,841,413,087,111,596,487,014,115,112,421,166,142,590,241,261,321,
381,016,318,331,194,006,409,516,456,653,521,985,589,396,702,780,804,724,858,
755,403,824,813,502,277,533,598,080,890,248,961,088,967,812,613,394,723,433,
877,148,613,002,777,003,417,433,424,728,092,050,023,182,139,746,924,185,026,
440,532,472,708,002,006,988,535,977,542,527,646,029,768,945,358,978,353,264,
062,382,998,047,605,156,938,123,854,483,912,367,346,396,007,810,441,943,448,
668,736,777,427,926,243,256,260,408,358,654,859,803,104,762,969,664,178,782,
801,198,638,782,190,317,690,037,948,844,634,767,810,688,040,238,971,167,664,
778,145,236,059,722,966,858,876,904,200,519,735,376,314,873,315,959,503,445,
059,893,574,176,564,735,163,818,570,532,749,417,615,470,084,594,488,094,389,
424,947,454,764,982,459,655,634,311,977,286,245,027,384,248,379,361,235,605,
105,889,731,832,948,324,615,013,991,339,112,880,584,656,501,945,537,383,168,
957,481,320,860,124,539,275,842,205,713,248,405,373,909,456,415,199,285,755,
801,287,919,337,340,507,217,491,040,676,756,219,678,860,159,788,861,478,351,
916,174,592,150,977,469,150,489,609,596,533,498,221,909,107,543,610,762,328,
685,068,113,736,328,836,876,503,469,194,115,992,909,551,664,267,099,674,455,
461,568,735,540,781,831,600,666,640,670,678,012,688,269,919,072,294,145,000,
379,028,265,743,394,188,692,111,363,087,167,915,667,656,392,673,534,926,322,
942,407,751,031,253,121,574,299,017,550,385,491,206,586,215,696,597,141,490,
191,257,142,487,167,185,257,529,847,114,352,577,960,429,685,747,501,038,816,
583,093,856,025,304,270,688,771,326,375,534,777,778,759,431,730,610,657,234,
891,917,897,426,615,366,255,082,542,950,382,632,326,892,750,670,552,287,046,
292,632,990,929,420,484,011,195,163,799,951,831,904,172,188,828,049,705,096,
352,315,788,681,976,291,176,125,277,528,969,453,503,104,624,396,812,909,401,
486,994,219,199,145,531,116,597,790,796,994,644,958,541,529,214,133,372,390,
971,556,601,700,962,399,855,932,328,506,929,336,516,911,614,596,576,264,355,
243,696,115,294,603,705,759,280,877,867,161,381,552,712,825,528,978,426,117,
237,831,512,746,944,477,409,646,181,084,999,050,525,872,029,346,226,353,904,
200,716,104,604,343,921,888,424,952,840,855,370,092,360,756,212,973,400,118,
363,171,435,417,411,554,095,298,617,251,606,615,662,425,427,635,033,021,188,
353,649,059,652,124,033,858,571,436,500,223,144,759,515,880,213,170,168,994,
861,961,267,863,720,036,271,182,101,851,833,371,901,689,922,168,111,531,100,
567,284,088,853,237,182,187,908,975,815,465,144,447,247,356,637,058,112,564,
120,742,738,444,889,735,110,940,408,348,685,784,509,987,032,678,106,066,547,
799,401,259,090,804,704,782,886,233,219,880,872,806,160,495,723,499,471,397,
832,750,815,732,626,132,935,509,943,678,654,138,053,779,607,527,524,306,263,
584,189,447,081,914,727,686,087,926,563,383,967,802,195,459,714,442,352,265,
138,890,225,729,650,106,057,285,035,587,710,428,950,679,296,939,150,111,854,
352,637,222,201,554,922,832,217,460,528,011,268,713,480,998,346,210,571,999,
977,906,772,665,077,766,577,743,377,591,940,932,097,207,129,106,733,352,320,
957,581,303,356,105,103,449,787,559,090,436,110,274,320,753,188,469,792,973,
449,948,547,758,294,723,004,991,675,733,542,576,828,971,879,763,735,805,884,
305,586,430,873,385,409,803,024,291,615,086,695,062,490,431,876,135,214,322,
257,387,263,700,531,763,147,233,608,145,840,435,515,518,240,566,286,605,851,
476,040,965,848,754,221,474,556,263,510,779,178,943,554,578,101,713,915,805,
788,396,683,602,672,273,516,795,492,543,123,783,363,457,097,637,278,154,260,
881,406,425,819,724,219,050,545,696,112,980,506,991,709,817,722,163,469,159,
287,260,896,225,478,329,525,253,865,266,904,762,314,519,219,178,996,204,513,
568,945,386,456,925,078,034,209,890,712,299,755,404,261,103,864,932,606,257,
341,628,759,473,019,990,290,360,104,209,120,258,569,561,477,824,731,419,826,
255,671,000,621,924,311,065,848,999,712,726,413,962,360,103,743,002,990,989,
633,093,852,021,609,980,626,538,018,247,695,619,423,872,217,651,882,121,120,
465,351,496,173,613,360,974,971,582,545,313,701,749,836,283,203,767,833,459,
557,410,612,153,241,262,933,235,415,515,023,409,802,824,016,316,943,690,777,
008,696,205,120,248,525,239,963,863,463,507,793,179,770,877,949,058,670,946,
159,125,972,901,256,685,244,855,150,759,226,431,168,069,789,132,111,526,521,
571,398,812,397,270,303,438,300,559,880,337,072,389,345,284,119,213,311,773,
001,568,012,495,557,788,042,830,475,746,576,809,394,897,005,553,564,675,642,
183,859,614,197,103,025,173,696,371,265,936,847,037,454,364,768,056,327,326,
122,493,402,158,682,394,605,586,935,372,070,321,940,399,830,994,476,289,777,
077,897,254,583,298,487,945,063,990,921,612,971,814,751,289,650,787,768,841,
666,245,873,444,525,944,881,060,738,424,181,731,323,094,861,094,726,787,399,
092,247,768,562,206,892,137,937,867,918,262,536,996,869,422,146,719,737,313,
731,165,769,832,360,102,422,600,325,204,185,499,333,846,940,103,079,050,200,
314,752,737,869,211,552,399,959,007,468,554,899,827,580,393,745,026,355,781,
661,607,476,869,301,721,543,667,517,368,529,910,124,705,490,316,608,724,672,
176,916,054,163,268,033,117,050,533,054,945,905,986,088,121,098,743,409,506,
742,468,800,474,599,957,020,990,627,479,365,171,913,534,471,834,781,401,550,
255,476,804,243,067,344,857,541,387,917,874,363,027,976,998,060,146,661,645,
805,020,296,838,778,584,573,659,885,062,679,237,027,777,832,290,723,795,882,
747,720,512,466,668,562,277,330,188,547,715,688,950,353,541,893,826,619,114,
661,882,888,898,852,256,162,204,470,768,379,572,625,988,260,968,905,248,956,
890,192,073,698,893,796,126,712,655,809,482,799,344,529,252,929,451,976,872,
792,648,569,977,120,444,227,562,337,376,994,714,014,417,460,458,788,170,280,
753,690,397,952,546,333,650,971,465,928,170,180,926,783,397,068,385,821,693,
348,352,050,352,799,280,313,746,154,215,501,322,368,775,825,323,093,390,498,
481,083,355,713,954,226,241,297,006,194,609,177,238,090,845,643,774,571,321,
570,285,479,137,249,434,407,807,904,820,326,640,915,118,581,392,374,599,741,
398,255,190,445,319,320,685,877,816,799,848,871,690,877,424,719,341,540,079,
894,044,315,745,464,411,933,886,509,762,285,481,435,697,751,195,104,589,410,
088,354,119,830,629,314,023,745,664,684,959,238,790,439,891,759,013,452,199,
336,527,247,214,410,065,404,259,093,192,740,270,276,873,151,767,779,674,347,
243,120,946,757,371,387,406,622,201,962,512,834,782,941,892,000,347,389,971,
382,044,332,568,097,383,801,658,827,949,687,994,940,567,575,943,012,435,860,
075,149,248,500,527,733,053,824,045,914,670,253,377,337,537,040,476,126,641,
168,292,867,197,931,464,428,999,918,691,908,606,271,493,563,530,613,790,985,
188,757,064,070,123,179,344,872,024,995,928,116,949,753,963,363,273,388,702,
347,466,273,988,995,865,564,859,472,079,689,551,844,466,496,017,244,424,322,
429,176,760,600,697,436,232,327,222,742,713,208,767,173,004,093,730,205,734,
562,403,347,438,305,966,628,279,400,710,621,679,499,829,982,918,306,360,507,
292,579,968,637,857,023,558,739,781,112,651,487,345,303,972,749,511,910,231,
080,581,629,032,301,213,751,812,312,528,413,261,489,091,044,732,457,565,707,
522,965,532,634,339,255,462,016,300,527,208,321,335,733,567,672,688,005,622,
279,214,345,030,859,214,562,102,009,621,188,552,220,994,926,504,638,357,921,
628,196,293,764,318,374,971,321,196,243,586,094,475,373,306,429,842,436,902,
307,676,689,238,953,059,139,562,857,129,647,016,103,507,131,197,494,225,107,
102,253,090,176,932,588,786,032,288,220,312,762,835,500,497,851,573,151,677,
426,447,271,374,540,250,156,227,467,642,982,069,799,661,505,413,818,063,969,
395,272,499,243,821,911,025,476,804,199,220,882,286,854,693,728,336,885,909,
478,449,443,010,853,082,549,503,057,671,580,427,503,711,847,367,534,404,543,
444,785,826,266,605,703,412,579,167,899,907,802,794,675,534,300,015,627,873,
411,329,367,640,645,842,748,753,190,010,208,624,188,837,024,703,785,095,121,
168,260,095,892,813,066,483,149,733,523,948,840,800,243,824,821,926,455,408,
529,136,033,348,958,093,864,022,517,438,895,325,581,195,712,201,237,015,606,
427,223,978,578,009,505,388,113,651,192,529,840,470,484,400,466,570,378,858,
302,538,313,572,613,335,088,208,823,656,423,584,723,122,458,215,072,633,029,
631,113,404,764,946,081,056,598,150,460,322,071,219,385,789,183,663,506,943,
119,010,823,968,110,499,423,573,888,836,253,612,626,454,999,923,497,982,864,
772,976,907,549,394,957,703,837,217,573,689,381,683,379,210,038,019,229,389,
744,916,285,982,464,271,648,644,564,642,189,605,798,589,208,320,617,166,421,
566,474,290,621,884,202,796,811,141,615,352,072,661,425,423,879,724,345,587,
010,023,444,269,088,955,577,418,258,460,041,401,332,741,448,679,724,829,955,
341,887,362,805,687,094,923,080,971,215,379,150,813,614,698,955,784,833,809,
999,290,468,521,842,191,416,826,949,520,860,162,654,896,374,552,175,294,534,
756,375,544,824,759,151,781,795,769,398,094,296,631,315,331,172,019,609,649,
460,302,760,983,407,142,795,948,643,106,727,594,954,003,399,352,306,532,929,
524,139,039,619,482,992,210,129,180,611,788,641,380,902,520,908,379,461,022,
175,670,645,049,189,500,021,194,332,846,643,195,737,637,091,632,720,665,954,
572,090,625,272,930,118,305,857,856,492,002,940,273,340,816,643,554,954,220,
642,825,480,162,693,317,092,595,647,627,418,431,977,363,145,631,717,988,440,
954,182,666,886,895,322,159,291,444,895,568,671,495,742,008,477,830,445,843,
294,644,797,235,518,082,948,591,746,475,606,371,711,513,674,216,733,838,531,
115,123,958,351,640,917,671,811,237,588,429,940,572,657,947,982,658,722,276,
024,276,776,591,953,269,948,517,490,877,671,461,027,476,447,258,237,466,239,
586,341,264,632,233,180,290,090,451,696,743,487,625,063,088,648,358,719,970,
511,406,953,449,591,548,832,843,093,307,145,326,956,787,899,254,708,389,532,
545,337,337,625,223,395,806,851,867,948,212,828,244,393,108,302,625,232,560,
084,389,104,863,221,303,009,770,400,473,974,012,909,076,079,398,959,088,063,
557,997,456,266,664,311,975,861,373,077,982,716,771,614,727,985,077,911,297,
296,106,715,699,304,764,325,670,150,031,072,987,761,934,289,417,644,409,552,
466,198,048,544,529,588,761,580,934,583,037,979,930,557,890,425,341,968,812,
264,186,569,457,095,787,215,357,369,104,207,879,304,286,365,065,953,683,137,
694,289,272,174,229,039,790,423,991,657,074,811,836,772,705,518,094,100,325,
208,814,466,905,433,917,896,801,949,249,098,934,603,958,740,537,567,447,720,
274,494,927,592,780,916,844,109,490,043,355,718,252,261,097,228,585,262,029,
472,031,001,074,118,084,005,463,118,283,115,376,060,394,754,037,744,437,253,
911,113,521,195,162,421,358,277,495,504,231,969,977,461,758,360,599,866,774,
828,448,146,599,077,431,444,278,147,616,182,141,001,043,617,231,830,420,570,
599,236,458,251,446,663,252,846,259,588,198,425,029,966,483,928,455,513,114,
850,348,613,732,408,051,574,977,630,106,732,774,641,125,720,005,825,474,475,
900,105,393,166,337,191,545,035,757,154,824,733,452,370,335,390,567,672,834,
319,061,131,494,363,948,580,767,289,218,319,548,295,185,096,513,620,057,955,
551,663,110,773,194,568,477,797,558,218,950,336,035,810,939,832,831,031,933,
353,356,723,346,776,836,739,479,197,746,844,739,903,128,721,670,009,155,330,
149,716,498,941,044,779,269,247,339,273,350,360,972,736,378,562,694,552,766,
549,874,245,403,207,236,426,913,706,769,284,144,976,251,872,122,568,934,729,
516,157,213,000,281,382,179,911,146,894,361,531,612,751,049,605,422,292,390,
203,680,138,216,463,696,871,687,442,936,144,670,671,899,015,714,686,778,338,
082,619,486,826,196,702,458,480,811,570,739,495,564,400,528,083,386,395,423,
012,097,977,335,680,603,761,960,567,399,011,500,910,075,710,697,780,867,548,
329,183,020,793,683,749,292,012,550,172,008,563,493,684,777,845,248,840,004,
369,171,751,900,538,990,019,477,283,408,113,441,634,941,471,752,495,808,668,
585,109,652,136,066,254,277,705,898,033,501,274,245,402,683,056,221,149,420,
740,410,459,152,723,552,283,264,953,965,896,895,448,968,585,644,908,879,579,
388,049,837,812,911,497,551,629,540,512,984,691,251,036,233,881,930,456,061,
147,580,619,211,970,692,507,327,219,204,729,545,517,602,299,549,323,632,516,
091,548,423,234,926,673,929,679,258,936,730,364,344,688,849,982,108,276,042,
706,552,749,351,569,271,097,800,228,961,851,282,962,174,720,635,196,403,573,
022,139,059,306,234,286,517,128,177,479,749,422,005,475,311,806,734,331,442,
655,317,261,597,297,593,296,690,826,007,313,601,317,829,456,557,339,061,752,
045,436,791,774,122,859,722,665,352,518,513,761,609,990,559,128,107,370,414,
125,517,122,812,335,137,254,751,059,399,961,046,827,067,811,503,575,504,005,
422,086,468,895,114,636,627,568,974,002,754,043,208,422,296,277,559,029,633,
901,654,308,618,057,972,944,307,270,021,183,147,016,649,802,740,077,510,081,
042,159,552,153,065,408,008,550,249,741,941,684,858,940,722,042,637,682,350,
978,435,107,660,753,302,627,302,934,888,441,104,629,805,465,186,682,113,894,
240,305,892,850,407,018,094,452,368,024,618,975,073,020,700,935,042,726,598,
527,165,371,874,876,367,288,215,630,797,898,476,861,516,164,901,807,607,649,
894,938,278,704,278,328,827,860,074,697,052,178,189,416,640,003,396,194,201,
786,688,748,638,721,754,203,869,844,154,369,648,265,598,401,625,961,626,908,
870,818,124,147,420,729,932,527,748,609,001,576,227,663,974,292,515,914,383,
898,394,849,783,595,616,795,185,598,469,245,102,468,825,108,754,565,989,179,
176,932,058,701,859,078,068,361,601,850,267,297,293,700,479,053,940,560,823,
308,259,842,397,122,071,203,902,816,105,839,062,463,855,775,000,696,975,237,
517,257,424,412,942,660,567,864,613,016,521,256,217,939,637,738,951,677,130,
977,394,766,610,521,991,996,789,531,929,937,085,800,021,851,109,854,758,270,
670,269,415,207,389,842,647,171,721,853,240,818,987,066,505,822,433,505,127,
038,232,702,200,931,328,859,766,985,739,523,901,637,285,378,238,126,775,022,
235,948,138,872,117,228,450,231,601,296,256,491,416,394,063,965,803,547,106,
036,936,746,074,449,092,084,687,538,010,799,138,324,445,486,895,242,141,247,
078,377,208,922,373,671,277,688,719,375,016,503,615,656,008,032,804,787,218,
368,960,363,911,673,097,725,474,905,807,272,854,979,699,065,908,768,688,500,
536,208,474,603,801,009,806,290,296,692,116,913,886,148,541,330,655,969,951,
231,346,340,248,861,492,278,545,979,200,126,823,798,265,761,597,299,368,875,
101,745,911,470,950,217,458,315,789,196,838,901,819,598,298,898,869,001,307,
462,689,625,338,959,780,930,693,628,131,274,114,002,088,765,665,433,275,144,
373,657,890,260,193,773,253,698,939,399,325,086,281,545,839,174,420,560,561,
598,032,890,350,188,682,399,761,373,532,836,467,838,395,879,418,171,963,637,
411,735,572,760,915,822,391,224,066,959,281,451,140,614,150,190,189,766,807,
140,093,979,699,322,804,095,748,261,008,385,309,284,836,242,820,629,758,555,
990,020,697,690,861,911,215,136,237,706,933,676,331,384,714,099,618,682,801,
181,912,623,168,386,339,047,676,990,635,144,341,671,841,940,417,464,465,220,
037,815,108,609,988,277,793,934,369,130,105,076,142,105,777,457,778,880,543,
325,544,418,833,533,661,996,728,417,778,584,600,949,154,607,669,938,617,501,
778,786,696,831,500,955,496,025,319,166,808,490,940,761,424,542,891,586,914,
285,527,445,982,028,987,718,048,134,689,359,403,258,673,958,249,656,012,868,
340,789,923,062,231,782,466,287,595,228,372,166,362,973,149,013,895,736,782,
310,986,965,208,726,780,726,580,883,046,731,534,377,671,238,364,937,248,547,
773,281,373,456,961,549,284,918,903,263,289,717,950,534,001,728,283,188,412,
887,940,813,264,405,691,398,882,226,419,226,833,509,381,335,861,470,468,960,
192,826,543,562,560,568,555,775,364,236,690,583,448,582,758,329,441,901,749,
061,689,855,835,037,264,477,446,710,404,902,484,504,067,073,208,704,176,745,
422,229,014,141,462,185,157,715,506,888,372,543,171,505,844,398,173,213,376,
744,357,686,145,706,516,613,101,679,901,309,835,477,188,212,805,328,275,044,
357,234,469,038,998,590,916,394,712,953,825,714,100,631,804,124,712,116,066,
156,246,008,271,679,121,381,027,608,739,030,429,078,671,676,760,005,418,384,
110,464,066,733,865,514,224,081,785,066,342,571,289,527,788,636,773,343,256,
134,761,171,280,134,760,427,805,936,000,959,420,640,694,743,018,044,901,778,
121,388,485,501,392,000,600,828,397,860,830,590,591,769,690,780,199,670,128,
508,880,070,629,490,649,607,143,263,101,534,293,949,490,821,874,325,555,990,
054,348,456,501,289,996,990,887,398,268,121,980,061,081,185,407,814,046,011,
990,727,062,541,709,280,016,972,618,233,739,566,520,156,162,229,372,582,964,
607,417,981,562,726,468,923,093,682,802,803,167,292,185,328,051,460,411,562,
194,440,853,199,585,878,283,563,651,012,566,899,109,015,013,675,573,321,232,
536,608,995,331,310,670,312,901,802,365,227,784,595,743,138,965,848,306,544,
751,793,138,426,517,588,350,733,702,418,697,450,908,887,994,027,457,815,420,
267,512,558,238,426,795,582,232,478,790,079,768,463,991,484,641,149,748,836,
925,257,808,370,111,057,795,715,474,010,677,966,239,864,511,050,795,370,250,
058,172,986,601,165,647,101,128,597,520,442,405,834,041,595,911,027,258,151,
840,486,845,315,462,792,420,662,412,879,663,747,664,197,780,306,115,930,770,
066,752,506,260,661,114,843,617,618,638,284,290,271,966,463,564,835,981,512,
844,322,973,930,843,404,505,932,748,269,337,495,463,159,284,814,717,066,691,
359,293,984,798,605,919,723,393,231,836,149,320,094,286,636,970,577,720,023,
032,307,960,290,217,259,348,787,022,552,629,047,859,038,667,045,238,797,908,
849,488,859,875,580,193,499,386,749,996,602,823,173,125,859,706,837,573,004,
771,735,416,466,053,791,645,887,562,594,656,040,628,494,949,402,339,670,395,
895,634,825,561,627,219,622,841,345,641,506,468,584,635,586,903,233,843,715,
700,506,759,278,893,863,107,398,982,512,766,428,001,040,111,921,827,243,013,
928,387,959,609,809,219,795,608,411,443,902,744,153,925,930,429,081,751,297,
960,283,202,307,113,568,214,419,046,030,700,350,495,619,201,463,735,593,015,
981,341,880,897,708,081,223,501,058,138,000,057,445,115,022,701,046,614,040,
952,690,960,513,310,791,168,183,807,570,660,807,352,722,747,920,350,270,685,
094,768,708,685,371,207,027,387,192,956,771,514,575,368,387,749,105,629,895,
701,088,181,421,995,270,679,392,460,884,892,408,321,731,457,876,938,708,003,
817,380,797,885,507,734,242,406,198,270,598,947,060,214,250,253,172,860,886,
874,596,941,497,049,199,503,740,663,877,539,862,427,641,426,703,717,551,634,
204,045,693,980,090,404,163,400,256,465,239,077,163,190,297,313,959,191,886,
083,383,640,118,355,734,914,508,436,498,292,172,715,867,480,161,921,307,731,
084,644,303,784,781,367,370,818,252,061,350,215,776,029,906,274,510,834,141,
056,753,916,484,542,141,307,975,572,918,651,395,056,659,378,565,617,683,511,
462,026,975,258,828,028,679,219,715,686,603,325,823,999,616,075,792,399,212,
580,453,687,035,090,268,054,460,205,139,174,919,446,988,936,034,610,308,223,
682,352,482,403,231,879,410,856,058,670,353,311,754,458,488,538,683,490,088,
179,219,155,913,111,236,002,146,282,876,642,608,930,293,563,403,168,015,682,
603,446,904,827,867,218,358,738,616,307,627,657,809,098,344,556,172,059,901,
370,545,975,194,427,506,144,322,549,609,141,050,390,182,535,000,764,414,382,
104,408,197,270,238,684,029,167,237,717,302,324,059,997,734,033,717,566,303,
259,854,704,020,133,781,328,046,563,389,512,983,966,177,514,460,879,501,564,
591,987,423,628,133,696,607,166,981,173,032,522,841,135,692,462,276,213,662,
400,035,084,768,191,322,745,701,646,476,079,180,590,161,185,609,639,875,191,
816,267,430,817,220,260,668,503,391,983,384,829,253,983,571,083,101,594,569,
352,697,148,072,292,224,935,997,842,596,639,302,415,835,249,574,456,139,795,
167,588,277,085,397,022,379,828,458,342,764,941,092,019,541,988,670,683,355,
374,709,804,474,297,092,262,295,856,996,106,920,134,064,285,539,144,409,055,
968,237,206,635,239,680,361,487,088,810,141,535,223,022,389,405,384,460,500,
719,859,052,790,042,981,404,916,196,581,248,776,104,444,006,833,891,964,156,
507,392,756,886,847,161,726,161,045,836,529,534,991,718,363,734,679,187,209,
695,346,384,277,317,078,859,439,170,944,886,567,498,798,480,349,267,188,616,
133,393,369,412,736,129,018,762,223,888,452,124,683,053,251,018,947,499,622,
299,010,118,504,227,975,652,398,228,004,613,182,641,056,706,229,833,869,920,
017,979,691,750,868,355,704,275,928,332,504,012,352,352,877,978,015,860,019,
682,587,415,368,014,940,464,685,440,041,414,629,099,615,229,134,827,822,856,
052,899,555,593,851,608,595,837,837,692,262,585,067,441,298,196,217,158,878,
938,427,526,875,198,839,190,618,481,723,941,323,652,458,330,934,034,643,170,
701,259,888,380,902,624,993,697,140,089,719,591,165,190,174,547,088,113,692,
129,738,100,083,881,838,492,029,942,048,809,141,168,664,319,026,074,953,990,
186,131,067,505,358,954,494,462,614,789,602,599,409,015,796,137,240,390,123,
878,558,527,414,857,058,099,252,191,798,890,256,191,416,773,543,114,582,442,
462,775,405,905,109,547,126,259,361,180,893,941,001,891,848,998,213,551,341,
389,385,665,426,399,222,473,556,015,839,538,629,880,563,520,304,041,269,079,
404,965,453,668,687,598,475,424,503,549,213,042,963,587,762,296,649,998,311,
523,308,604,070,871,378,661,379,069,032,934,890,076,750,139,375,880,206,326,
877,038,154,304,051,216,955,414,808,827,456,807,096,546,521,917,769,683,310,
218,793,054,321,498,905,200,976,612,444,459,202,840,483,978,263,671,619,654,
977,596,166,249,196,123,269,444,670,289,513,078,649,283,388,773,317,200,972,
237,444,214,359,521,682,479,325,204,487,734,599,036,464,788,288,655,761,518,
827,447,986,568,554,912,979,833,695,029,902,731,203,989,378,710,816,779,169,
443,231,791,442,927,417,562,722,702,668,725,838,438,032,897,991,642,932,203,
103,717,656,853,406,710,311,373,409,603,242,146,437,026,722,690,262,314,948,
058,924,864,098,114,723,218,789,600,233,089,443,955,773,220,086,193,115,005,
123,276,123,994,334,984,879,560,969,631,284,856,937,437,463,871,687,998,336,
712,899,899,633,396,247,938,260,515,056,584,089,548,202,717,933,553,024,773,
744,227,053,094,968,289,027,531,563,875,292,944,747,431,153,669,723,363,053,
477,653,075,745,938,823,991,497,168,563,197,935,952,698,944,237,001,328,437,
402,860,514,100,913,378,956,189,265,346,056,846,413,021,634,758,967,558,835,
736,736,789,470,043,712,742,487,675,630,311,946,143,160,644,902,743,820,081,
142,531,322,549,113,630,989,213,419,536,528,252,228,857,316,419,739,769,374,
348,670,512,190,742,508,401,070,540,007,213,268,897,943,947,827,825,322,722,
271,313,111,863,078,797,584,876,092,858,000,777,811,004,858,146,291,241,230,
890,433,633,433,494,487,928,647,729,406,569,778,406,318,838,755,409,786,406,
604,222,854,195,078,308,519,696,976,238,251,303,467,377,269,142,050,624,668,
488,397,877,103,253,380,742,101,534,292,178,109,215,001,107,368,983,636,301,
149,826,081,413,140,271,927,479,428,044,457,208,165,757,509,231,792,086,487,
858,706,331,819,606,087,703,983,858,935,871,967,525,541,590,768,011,075,475,
500,854,833,600,199,260,919,090,572,226,181,635,769,609,571,501,020,860,398,
488,671,511,917,048,923,350,684,366,111,228,152,347,217,727,635,572,296,788,
149,395,847,769,625,414,021,590,419,795,126,805,194,742,971,763,913,283,756,
025,708,107,587,157,175,056,545,385,212,274,420,719,358,971,380,059,806,265,
533,193,447,169,879,228,325,009,619,607,213,304,107,512,917,377,311,728,776,
942,813,842,816,042,613,014,925,026,723,961,373,217,685,312,991,174,346,804,
140,757,572,748,570,224,418,994,187,278,896,705,340,384,619,950,134,366,558,
324,449,776,984,456,889,420,607,952,244,361,323,764,912,948,170,256,961,560,
542,795,148,357,372,006,585,475,274,635,411,386,952,657,855,644,686,635,541,
761,394,879,398,851,256,660,996,155,955,949,291,458,783,899,806,884,257,420,
064,764,439,295,916,344,843,379,858,025,582,051,980,910,232,468,138,629,584,
066,470,588,167,160,137,497,128,746,310,511,864,434,021,173,600,928,075,428,
356,153,888,375,775,181,684,586,203,511,413,400,429,322,751,466,339,710,162,
837,181,497,568,454,840,511,789,692,848,233,014,753,620,940,184,481,522,299,
607,188,087,820,044,767,507,609,632,309,155,326,885,147,800,891,014,904,528,
925,414,985,419,931,140,536,976,583,644,920,326,838,135,842,632,277,530,942,
223,630,987,952,708,751,708,800,477,342,491,927,047,627,569,158,350,804,113,
165,188,800,461,683,826,413,893,304,984,394,314,463,476,476,439,922,189,684,
092,191,072,123,057,039,847,759,404,261,942,270,739,027,923,543,159,760,297,
734,128,757,330,490,924,806,750,265,181,217,585,506,142,209,282,013,018,073,
721,986,367,335,137,931,100,398,668,676,717,611,650,555,654,152,392,514,833,
187,573,352,475,341,039,984,643,038,504,097,553,908,356,291,175,965,473,355,
859,199,430,377,938,817,571,303,852,432,766,025,131,481,937,523,856,254,005,
227,567,530,045,693,463,545,041,025,035,359,040,258,481,725,534,204,890,295,
932,083,373,130,270,803,210,262,246,938,707,856,173,186,650,463,618,588,376,
920,846,794,576,389,712,246,409,934,892,676,099,266,702,402,313,181,057,558,
840,198,813,895,930,601,713,083,183,026,789,715,216,151,994,783,081,459,282,
230,862,852,044,903,290,809,963,681,065,176,335,454,726,710,127,203,844,015,
847,431,554,675,772,962,162,929,827,798,264,860,692,006,440,558,363,857,095,
955,352,000,127,813,160,427,561,475,280,467,435,962,408,544,755,837,806,147,
717,843,069,172,546,763,924,419,718,781,733,678,498,909,946,341,365,553,102,
730,306,410,613,644,915,732,392,831,134,794,358,479,854,486,218,991,992,210,
317,811,281,722,803,086,333,856,096,916,588,864,697,846,934,367,824,444,555,
501,446,977,826,430,613,572,318,098,145,454,994,560,283,307,029,543,710,849,
231,348,562,943,133,440,143,771,375,284,771,057,562,241,997,429,930,431,219,
602,219,661,304,998,896,664,094,726,029,706,258,682,132,970,214,960,470,269,
411,932,763,553,852,281,737,835,989,920,765,991,925,514,586,331,960,961,722,
592,180,705,717,380,318,963,472,327,879,610,251,019,062,326,641,427,927,762,
072,852,431,249,661,337,249,963,861,679,290,034,192,989,399,947,194,507,326,
742,846,637,426,126,383,574,720,107,616,829,528,934,116,618,847,075,372,804,
139,006,222,956,994,279,727,528,524,171,263,458,584,634,031,427,873,748,015,
805,183,687,790,927,508,020,075,301,072,341,095,911,108,650,452,942,334,377,
238,764,880,833,091,056,342,323,655,649,905,675,858,644,637,511,003,887,862,
506,227,589,941,161,157,432,689,208,063,922,293,458,964,507,304,558,970,612,
555,324,710,594,580,036,034,187,443,755,487,680,016,546,522,066,225,307,907,
511,877,481,290,872,096,103,014,459,916,716,239,453,144,134,963,014,117,830,
776,797,174,942,579,692,599,558,364,640,050,733,266,657,901,337,935,765,887,
750,267,936,810,435,875,159,833,623,182,619,382,822,801,626,781,768,488,487,
592,195,725,407,864,318,646,909,712,872,406,335,898,297,515,976,534,627,272,
310,626,287,264,148,900,355,253,857,466,125,839,694,551,271,924,920,430,923,
901,632,977,472,487,605,788,969,054,902,358,623,838,576,134,752,874,190,857,
022,956,007,905,855,088,424,075,696,269,909,704,692,742,648,481,904,432,654,
092,538,197,323,075,751,028,036,607,635,632,433,400,045,110,540,860,428,915,
189,485,354,338,526,327,186,964,095,761,416,956,693,840,030,570,333,189,450,
355,725,986,966,681,967,367,145,489,293,289,017,347,322,512,514,953,838,594,
982,379,314,669,817,578,061,779,869,373,845,296,017,155,902,826,411,583,372,
516,043,654,542,957,827,641,115,885,395,323,689,340,901,336,133,172,066,410,
461,680,669,839,939,198,169,933,986,856,787,088,389,786,820,621,556,933,639,
930,433,047,014,781,415,874,468,337,184,543,551,914,545,683,815,265,473,307,
676,173,018,505,718,842,411,949,847,456,978,294,476,588,734,561,092,745,848,
217,579,575,583,709,740,363,322,649,266,050,168,006,336,732,415,453,106,910,
359,760,333,416,100,285,712,800,125,436,737,470,664,767,576,840,068,754,135,
656,231,906,990,667,149,311,929,083,628,765,740,776,611,111,888,063,503,997,
352,105,945,656,432,415,028,391,331,997,629,013,032,611,639,725,922,445,199,
788,518,651,003,823,822,034,575,812,874,118,825,102,276,391,937,412,842,945,
011,502,247,942,398,780,360,871,028,829,477,625,167,289,520,977,520,409,413,
469,621,398,772,690,474,690,303,798,528,603,094,906,964,007,104,052,916,334,
439,377,609,921,139,879,027,688,452,178,365,009,040,008,556,510,629,732,047,
556,177,494,646,229,622,985,729,623,046,084,209,803,410,965,852,653,498,149,
239,492,083,058,696,239,716,927,437,306,655,666,941,745,462,279,197,066,957,
234,691,656,109,021,627,335,737,339,246,596,595,879,682,809,894,532,948,704,
680,436,669,861,522,978,510,799,230,510,668,230,914,616,069,658,823,983,430,
063,895,002,109,255,883,682,536,298,883,590,520,066,856,382,457,570,998,408,
668,024,831,890,128,805,109,743,815,220,837,042,930,773,048,609,726,566,221,
514,604,756,531,195,153,804,929,619,851,529,169,771,891,412,709,623,484,971,
277,116,628,572,272,705,190,879,292,148,627,444,358,295,617,624,518,143,054,
842,013,719,180,582,833,577,426,656,209,071,970,092,017,970,893,824,182,361,
880,349,267,782,274,294,500,511,280,173,435,682,917,922,321,859,741,178,363,
901,682,034,803,415,139,454,088,384,331,248,921,195,143,203,737,485,631,632,
841,900,150,112,824,696,131,678,200,740,042,337,917,722,790,569,119,925,942,
443,422,044,782,637,664,846,666,346,089,942,646,770,186,669,515,921,626,102,
873,511,809,218,951,650,497,915,653,384,850,622,012,465,327,310,436,464,775,
975,700,892,502,765,712,555,945,387,165,214,067,051,692,298,498,404,323,411,
814,685,450,519,229,733,391,960,676,118,628,180,488,490,870,981,826,385,808,
772,767,110,102,335,690,660,932,726,042,514,469,137,769,129,765,380,429,306,
515,909,080,659,705,962,393,745,325,915,772,056,186,567,490,829,021,939,941,
279,923,745,050,047,803,024,237,077,039,391,909,432,680,733,566,330,253,535,
880,310,277,567,981,852,931,494,451,230,294,333,267,910,122,779,030,653,681,
472,957,062,180,406,251,582,283,591,071,540,417,364,827,286,884,349,311,505,
156,860,978,123,060,107,823,056,785,868,065,310,891,455,246,863,094,778,522,
777,642,259,468,882,035,872,393,363,078,891,287,438,631,336,317,709,823,147,
773,287,861,154,944,363,507,201,776,292,518,182,579,087,241,292,122,822,014,
220,053,055,234,870,247,878,435,937,311,550,881,643,181,568,216,290,281,906,
785,089,618,294,471,471,607,873,851,234,326,767,945,016,504,753,103,666,548,
646,686,623,943,940,829,528,096,027,213,074,617,455,235,967,404,070,997,634,
523,898,096,783,283,446,156,946,088,257,374,996,389,357,634,872,520,476,105,
592,794,522,446,026,913,478,411,994,195,446,498,666,317,670,352,702,443,797,
534,901,931,797,083,010,372,193,928,197,623,455,350,336,256,181,288,615,277,
039,491,803,285,192,320,955,534,631,746,859,709,961,076,450,370,566,648,520,
762,220,328,265,022,123,129,717,980,057,960,217,551,462,577,251,094,797,241,
031,398,825,168,108,680,684,859,594,394,312,978,139,583,445,598,956,206,371,
477,100,836,093,369,758,073,864,470,751,573,031,960,859,765,039,303,059,109,
457,689,368,711,304,912,799,268,821,561,809,551,540,637,034,320,042,193,888,
644,671,004,235,274,552,708,865,933,291,348,776,861,681,621,375,003,407,838,
925,492,249,194,566,901,463,798,134,048,907,349,111,127,413,390,065,790,924,
812,191,845,580,339,426,804,708,834,058,568,311,069,301,263,683,353,577,670,
849,971,719,339,523,913,032,935,626,847,452,588,071,521,694,790,344,485,235,
449,399,271,392,849,588,198,519,548,054,977,202,731,583,912,913,194,121,105,
963,911,941,841,664,925,313,472,781,688,551,444,964,465,302,824,079,701,032,
817,668,010,123,527,299,549,938,348,625,553,073,129,592,569,296,406,038,023,
857,877,067,622,434,931,542,061,760,710,123,217,110,791,068,790,484,101,251,
363,808,634,003,241,202,001,891,924,785,924,799,878,278,563,558,084,516,782,
220,875,781,877,890,720,001,079,342,598,682,135,201,522,699,095,897,216,131,
842,091,239,719,789,881,072,160,064,165,538,612,597,334,400,803,644,291,957,
484,707,233,234,270,181,761,878,943,671,033,294,764,987,201,849,678,602,522,
066,011,307,339,562,703,025,984,062,775,457,024,499,649,821,413,880,593,275,
415,098,406,580,983,797,937,759,400,453,485,040,160,578,122,072,021,076,040,
454,611,574,845,548,581,450,224,957,678,696,767,229,376,168,212,788,160,377,
807,362,167,765,389,745,031,430,780,815,545,401,750,409,977,000,285,563,493,
830,741,819,982,671,977,138,772,309,038,841,192,339,592,397,686,102,208,875,
418,895,172,729,949,365,448,543,181,827,377,189,490,567,464,520,347,023,895,
818,048,311,756,473,294,437,366,357,766,264,632,717,388,082,596,287,756,716,
659,866,061,645,523,845,520,842,300,876,798,691,234,791,592,460,785,575,945,
070,964,442,443,300,470,223,252,894,017,277,277,962,107,132,611,966,813,774,
562,177,821,434,517,344,309,800,782,035,647,897,717,034,697,078,508,107,180,
985,861,263,712,415,756,238,601,526,740,751,913,662,527,801,460,709,816,661,
688,825,473,716,803,683,174,724,706,557,695,152,671,313,104,883,437,535,562,
088,540,244,855,917,447,510,515,842,089,746,388,982,040,800,379,862,587,614,
364,094,220,666,219,181,648,590,030,560,422,417,956,016,774,334,529,709,692,
569,376,532,940,798,635,789,938,537,158,972,852,454,263,033,621,624,551,432,
144,293,145,592,854,139,624,224,760,596,530,543,110,139,825,762,959,728,297,
083,334,881,479,920,409,751,326,153,801,959,102,733,285,246,467,823,671,477,
722,943,512,270,280,755,935,357,053,276,849,712,076,315,800,944,190,743,876,
143,994,680,734,441,312,669,749,554,463,222,335,007,761,902,306,683,345,688,
459,138,279,010,469,786,770,999,372,982,785,315,030,055,589,442,354,848,505,
950,834,439,344,691,022,701,036,901,868,819,124,132,944,947,329,392,390,855,
820,116,280,683,082,683,236,872,482,259,489,988,658,243,317,895,926,544,880,
578,012,389,747,825,272,013,292,859,464,025,389,075,295,090,037,042,477,900,
367,219,373,592,497,606,573,219,555,423,994,417,093,997,493,617,063,028,702,
485,665,025,215,126,783,577,920,348,975,817,711,447,608,121,219,703,005,902,
784,592,015,543,644,939,404,055,024,397,367,958,822,772,255,662,430,584,528,
730,554,217,438,355,436,275,808,916,942,662,830,509,083,160,646,502,332,662,
029,448,335,120,449,086,778,551,816,281,827,953,968,401,112,694,485,805,457,
885,246,158,220,703,011,821,195,393,540,813,155,253,809,986,848,971,825,362,
702,301,833,146,346,588,035,886,091,577,017,279,171,897,056,290,049,269,305,
719,762,573,133,966,953,570,506,462,906,368,895,739,568,396,810,327,433,126,
649,956,730,169,978,812,338,525,863,439,254,930,436,711,233,864,505,721,761,
136,768,221,703,987,990,765,080,832,907,264,603,798,594,791,220,982,919,508,
044,006,939,780,019,616,650,273,682,485,940,106,766,993,902,654,054,755,109,
591,464,898,623,881,874,100,908,777,103,324,494,936,670,242,514,510,478,589,
970,727,824,214,399,146,752,346,818,464,598,633,590,502,560,887,050,298,249,
085,320,331,127,431,875,583,070,095,101,957,771,939,242,687,552,508,363,505,
580,245,732,050,160,982,787,410,422,092,046,088,833,452,912,161,524,716,544,
345,670,876,570,559,101,217,256,949,139,005,371,247,522,370,199,111,347,515,
173,197,512,097,942,058,719,259,014,384,367,251,187,750,032,596,857,687,679,
600,923,873,743,500,949,795,881,278,755,260,030,616,469,666,838,828,199,395,
115,387,530,059,290,831,266,352,487,045,415,685,959,828,418,322,140,007,114,
701,107,814,683,013,486,765,018,963,211,990,835,070,578,381,344,551,836,414,
319,216,700,040,593,453,531,300,185,298,152,244,067,712,946,624,443,199,519,
611,756,806,412,441,118,328,819,627,056,421,485,810,758,139,363,218,594,001,
692,589,816,103,351,420,126,978,316,810,183,801,672,241,566,471,941,060,561,
006,744,085,261,487,789,211,572,760,892,252,737,343,397,795,561,479,875,170,
383,748,118,025,137,838,361,344,609,556,122,736,055,412,332,148,831,068,627,
959,868,821,865,487,361,288,239,464,426,081,073,606,842,682,363,214,293,558,
990,551,365,449,970,461,465,132,941,174,617,296,676,074,107,813,970,102,958,
777,538,871,832,049,058,630,197,703,357,988,245,377,513,835,675,300,156,487,
989,895,426,768,107,278,327,273,539,225,498,903,375,698,492,581,182,546,611,
337,144,659,953,323,449,983,095,344,635,028,540,481,219,243,680,959,155,608,
267,684,128,358,489,260,032,241,489,353,499,052,313,100,253,287,635,941,543,
397,478,429,156,929,037,587,351,294,637,188,791,259,632,951,835,470,845,051,
200,800,698,349,542,558,160,664,775,200,897,346,370,460,507,297,034,537,903,
291,273,823,505,905,837,148,727,332,156,512,018,598,455,645,410,519,801,908,
730,389,074,602,472,834,627,736,562,358,984,797,172,009,052,940,616,344,646,
114,591,318,584,450,634,610,937,612,946,527,848,798,384,522,694,228,144,489,
225,129,865,200,186,885,579,592,719,810,330,640,084,416,555,235,248,799,518,
607,604,812,070,842,860,496,772,467,761,474,926,373,166,259,200,448,318,192,
376,528,706,630,170,453,249,881,446,059,495,090,498,452,223,631,806,090,270,
344,564,126,681,323,103,799,079,520,425,783,015,215,450,251,237,884,169,341,
370,236,770,858,392,543,036,977,976,426,585,486,560,886,369,658,977,060,815,
653,447,309,413,637,210,476,346,209,147,222,315,278,963,176,294,280,247,297,
108,986,273,385,076,250,392,310,166,251,079,100,023,723,042,879,962,141,454,
397,723,157,115,693,404,216,884,856,726,804,214,724,884,572,530,209,921,029,
799,497,001,955,855,504,198,461,300,550,272,465,572,009,529,524,351,945,865,
014,611,043,247,773,922,562,027,680,502,475,131,432,998,626,682,972,780,546,
598,882,961,713,634,420,937,619,709,517,277,158,232,161,901,774,240,150,847,
513,050,439,023,551,503,519,447,124,254,199,123,315,167,523,656,212,113,371,
220,102,529,870,192,262,532,844,138,426,577,129,573,033,123,382,041,832,073,
823,510,386,709,627,301,428,700,727,498,136,856,756,027,478,633,262,761,919,
743,931,763,037,990,241,109,430,549,525,002,633,232,820,824,770,946,307,316,
962,370,666,991,991,799,991,677,833,959,745,425,985,632,863,518,235,728,365,
411,028,866,468,546,848,291,936,473,656,043,529,186,713,735,603,347,404,943,
380,480,979,532,261,074,019,734,804,973,648,546,706,307,516,108,644,129,668,
449,676,839,558,092,055,928,332,750,930,184,473,145,925,840,670,086,806,626,
387,038,863,292,989,424,642,825,668,167,589,051,185,079,286,422,237,819,679,
013,452,280,808,833,034,073,678,209,427,192,291,049,911,689,162,651,659,592,
174,453,567,962,597,345,373,703,638,838,522,295,550,259,813,745,635,833,313,
225,757,162,529,206,064,433,142,546,387,921,508,261,474,272,043,250,111,299,
832,718,219,283,228,881,492,259,396,453,585,648,713,660,947,592,923,926,609,
390,142,652,595,974,656,405,015,167,038,565,540,791,292,461,386,613,825,007,
966,390,249,517,616,057,860,025,491,089,329,430,588,139,948,525,348,541,632,
260,765,319,788,827,607,218,576,586,834,841,002,689,788,403,590,351,966,581,
683,949,568,514,377,740,418,665,859,663,678,649,239,733,344,672,168,248,626,
061,443,870,427,057,901,103,570,036,031,477,324,631,214,761,939,779,506,269,
072,164,869,126,290,588,911,736,295,581,919,375,875,241,698,182,112,409,016,
378,057,106,157,434,628,624,038,871,247,653,757,231,037,469,672,224,635,192,
877,506,935,714,495,934,974,142,724,932,257,724,101,064,455,013,635,431,186,
593,495,619,592,100,427,830,612,287,168,831,888,514,137,625,065,223,844,673,
829,829,317,315,175,093,705,155,329,725,757,184,297,807,864,507,856,655,680,
407,886,435,343,469,076,117,176,366,421,286,727,115,164,881,409,609,161,693,
139,088,217,428,530,826,286,247,653,569,060,182,729,466,091,042,228,046,313,
603,486,298,797,183,923,090,275,802,313,596,743,203,727,322,783,112,353,742,
770,075,391,062,983,175,075,151,056,519,531,687,958,698,900,013,759,955,449,
821,093,276,667,090,090,152,245,307,167,892,129,243,163,409,519,660,693,107,
421,815,759,058,476,856,237,650,685,580,431,291,259,193,945,707,067,000,332,
735,832,943,085,919,144,548,466,477,692,336,320,884,775,671,312,737,429,760,
580,119,043,024,544,245,783,823,759,676,942,456,372,028,097,163,845,078,452,
107,314,718,682,788,857,568,404,635,619,167,255,904,902,006,634,481,660,355,
667,350,824,717,371,520,890,145,198,985,415,831,188,961,134,122,433,096,878,
948,069,765,681,011,431,185,056,428,395,085,344,488,804,504,110,580,579,995,
047,499,162,011,041,818,243,330,204,576,312,696,291,681,917,932,440,271,038,
718,913,772,764,079,775,147,418,221,256,522,283,209,975,636,138,985,451,329,
766,143,417,085,053,366,511,862,259,927,334,035,853,725,318,372,239,566,219,
144,339,451,563,689,005,377,144,326,364,309,506,009,280,660,088,880,051,225,
586,841,146,396,189,576,939,722,959,074,507,406,329,435,102,827,997,365,807,
901,845,250,821,478,385,332,188,377,485,840,728,787,109,217,012,511,264,339,
171,454,326,186,483,121,981,782,189,095,091,754,123,939,200,049,695,924,026,
317,690,232,113,375,668,184,783,376,083,667,846,556,182,274,136,933,602,678,
247,197,813,299,298,319,410,628,267,892,534,180,975,171,834,391,127,130,818,
391,435,735,401,115,760,555,383,558,831,458,511,723,088,271,763,899,491,057,
571,738,177,755,370,877,803,668,558,382,518,613,744,260,907,862,864,137,877,
959,359,395,498,068,881,290,546,020,966,694,176,332,219,573,562,069,783,238,
282,115,978,454,821,997,407,647,794,713,984,208,849,798,966,243,690,985,557,
152,121,431,965,093,896,597,408,954,149,101,281,832,655,526,094,387,249,307,
478,400,700,797,475,739,119,168,564,656,646,967,455,667,856,864,315,378,790,
214,930,181,291,797,489,208,147,318,790,284,388,605,408,185,648,871,309,236,
048,733,241,056,697,108,373,662,727,018,753,502,916,459,531,491,043,943,093,
270,761,733,552,126,350,556,396,800,173,416,191,006,698,743,582,392,953,214,
506,548,780,346,263,875,820,014,470,790,214,256,187,384,476,517,154,867,011,
171,237,518,607,055,759,789,154,802,610,170,690,790,782,473,399,767,936,395,
323,759,999,229,810,566,217,022,548,544,067,301,418,991,163,707,406,440,306,
504,586,050,345,154,988,440,975,916,353,545,802,841,229,992,429,781,732,166,
723,312,677,569,446,378,293,286,217,797,388,533,113,544,807,493,148,870,768,
166,672,503,612,921,054,060,329,542,063,951,750,124,894,884,553,323,139,761,
264,505,504,315,693,125,514,455,858,049,979,466,928,629,668,021,889,581,991,
574,926,323,698,628,257,461,739,057,449,516,906,997,902,438,786,406,776,674,
980,565,397,622,511,095,976,080,385,855,291,543,197,361,342,274,540,774,077,
962,620,858,541,569,600,308,576,640,449,347,708,132,593,915,786,289,825,853,
907,305,411,201,544,297,792,554,677,983,307,520,245,321,190,176,641,839,378,
818,226,834,189,983,003,547,088,941,910,677,474,969,474,633,882,786,833,722,
866,900,476,189,685,328,509,738,209,905,917,667,458,807,674,457,039,221,538,
461,555,118,121,754,962,611,689,187,358,017,864,006,328,629,433,801,935,128,
020,389,695,179,118,359,994,817,065,037,206,577,830,826,508,942,270,308,012,
993,742,308,919,690,567,781,267,500,173,490,992,432,844,400,361,905,406,784,
287,296,975,870,211,643,887,685,964,117,834,057,895,315,154,510,954,273,743,
399,885,860,250,734,827,390,488,273,843,605,142,025,211,957,518,770,830,748,
323,882,154,261,515,782,922,712,487,620,861,068,601,490,881,007,763,664,836,
916,998,935,739,194,272,668,096,770,789,808,606,405,937,991,502,860,513,241,
716,740,453,591,717,856,211,427,754,776,241,484,401,217,856,556,630,945,674,
996,694,221,851,211,047,596,462,011,679,819,515,688,722,616,898,117,452,959,
923,039,760,606,542,885,403,404,823,535,736,305,478,626,831,301,273,488,725,
828,221,845,234,209,411,235,541,127,456,665,071,781,048,578,836,545,699,801,
519,062,198,507,393,631,484,212,474,514,657,210,416,231,897,669,493,846,862,
814,086,256,543,465,346,329,523,029,919,365,556,988,072,276,330,301,451,160,
609,901,136,762,179,368,826,913,950,588,899,639,717,963,113,406,830,136,936,
382,659,632,469,073,801,482,611,629,052,927,902,037,452,999,496,214,279,657,
729,870,401,987,213,128,840,935,343,815,704,896,836,244,160,321,167,775,771,
208,188,001,773,064,489,727,485,880,292,260,479,366,396,144,419,782,037,172,
019,323,872,355,589,619,403,958,202,252,583,495,959,438,690,440,374,216,005,
297,868,818,752,672,492,828,878,938,328,765,157,940,759,214,306,047,055,424,
613,078,575,399,587,853,430,724,020,798,370,277,359,926,216,287,384,836,562,
415,649,748,627,454,061,022,203,504,701,404,236,522,638,389,578,593,737,990,
436,069,979,383,662,862,890,408,257,888,034,417,078,233,120,963,080,940,809,
835,977,952,763,887,792,240,523,249,759,250,145,588,618,602,525,067,529,110,
715,912,871,217,872,769,193,648,064,956,115,386,424,678,642,499,508,157,161,
016,483,788,673,927,503,384,397,339,739,729,168,645,051,584,547,917,957,979,
563,008,841,455,890,555,153,249,118,964,760,373,801,302,688,666,155,883,544,
752,987,013,716,038,557,005,613,226,065,012,937,359,272,321,061,517,547,124,
765,407,192,840,813,831,278,441,594,273,464,430,457,357,693,242,192,269,167,
679,463,971,751,809,008,065,402,903,907,802,478,735,616,238,900,758,356,085,
686,550,628,698,607,435,104,380,769,950,718,489,828,053,470,917,545,517,799,
889,888,138,776,073,261,200,799,107,215,021,896,442,356,942,100,619,915,326,
043,051,539,524,314,821,348,007,183,074,206,715,054,538,737,215,672,026,388,
579,325,056,388,385,901,617,362,343,168,078,002,729,815,849,177,592,614,414,
117,239,816,083,910,871,524,349,488,583,790,415,504,716,125,467,747,400,844,
008,906,475,937,711,588,670,415,618,373,364,456,678,646,105,207,016,959,709,
167,194,343,403,626,813,396,627,063,094,634,444,697,004,649,276,580,100,408,
010,208,692,631,104,524,528,945,887,294,362,421,367,805,916,835,179,238,689,
432,437,784,962,483,505,668,271,937,433,447,357,673,667,150,042,090,467,701,
617,588,100,967,317,796,837,319,390,698,230,398,760,538,425,320,136,152,407,
451,701,232,620,395,643,821,692,774,365,466,650,221,840,896,508,948,747,022,
487,569,513,544,436,555,075,864,306,298,010,180,878,609,562,635,089,439,008,
358,961,402,299,645,515,792,195,543,328,368,370,311,190,298,437,310,057,866,
143,346,325,552,138,680,629,651,573,676,975,562,685,822,075,701,228,953,221,
568,017,176,666,053,352,300,479,006,900,148,866,285,187,085,182,625,820,141,
836,778,059,631,445,289,958,829,534,097,543,630,907,689,954,074,043,112,810,
839,517,931,819,495,191,576,362,014,882,662,112,434,752,709,377,842,994,109,
884,126,833,734,214,058,794,035,476,490,178,016,541,791,988,099,599,097,686,
093,692,752,106,431,912,340,038,761,561,742,208,185,085,413,247,772,328,622,
284,340,683,108,649,528,320,386,793,834,987,583,380,323,250,443,225,623,103,
099,457,405,827,759,399,394,465,884,971,012,375,923,646,010,896,889,841,892,
777,380,624,556,488,080,799,195,738,202,812,866,441,608,271,284,404,234,016,
594,949,009,793,294,584,425,124,644,896,829,640,176,360,342,606,663,939,371,
488,091,852,617,861,087,878,228,392,338,603,376,920,330,480,328,616,535,545,
922,888,756,115,904,463,870,268,125,408,520,413,037,767,217,281,779,304,278,
929,688,443,488,690,259,372,168,802,854,425,116,434,877,321,202,510,568,010,
794,591,723,156,162,893,738,380,368,549,836,330,845,698,439,303,047,474,051,
868,522,177,883,002,155,732,954,511,383,987,535,318,461,864,670,250,623,457,
606,037,099,911,426,676,132,243,829,851,264,046,667,155,337,099,904,774,202,
968,186,095,258,764,129,426,222,104,943,772,654,636,700,035,963,441,969,874,
349,867,641,015,021,585,390,029,913,402,751,590,528,208,018,953,961,028,591,
508,812,483,657,696,255,938,230,030,639,753,202,063,991,058,707,521,371,661,
401,603,282,326,109,112,644,020,100,110,815,657,219,633,353,043,301,175,247,
479,995,863,478,924,141,420,175,971,754,420,202,831,074,368,831,177,936,209,
222,634,073,985,819,880,696,012,227,191,407,797,844,348,523,582,347,697,486,
491,425,309,865,796,910,493,666,748,464,175,542,852,448,094,535,512,145,712,
492,134,449,646,129,740,372,148,555,400,000,564,057,337,487,143,130,623,824,
656,545,205,814,013,244,066,407,303,008,773,462,341,423,041,198,620,925,420,
415,236,955,564,503,918,131,505,678,879,730,950,684,980,140,434,793,712,118,
234,367,841,725,581,258,910,933,866,783,748,014,826,331,188,978,940,283,409,
052,156,752,276,111,009,196,675,409,943,336,449,437,366,367,400,577,789,675,
788,494,455,625,000,741,873,321,626,915,399,447,450,786,207,107,551,977,107,
572,915,509,774,338,127,543,484,411,991,866,009,248,358,393,095,426,809,842,
454,896,133,656,295,200,577,626,011,429,677,910,921,858,088,180,968,538,899,
215,453,677,463,969,851,135,107,390,993,840,539,966,618,652,222,080,992,019,
165,780,213,760,606,590,779,612,338,571,513,916,274,730,577,019,064,249,256,
385,006,235,092,590,808,177,278,527,309,081,312,757,408,814,194,865,103,453,
750,963,076,443,737,563,538,347,433,557,967,391,408,633,866,582,210,433,709,
182,660,562,311,598,940,015,295,810,432,580,270,959,896,807,726,868,030,300,
365,894,417,348,886,830,311,572,895,568,480,217,187,728,186,372,549,009,017,
218,053,493,276,936,321,144,542,929,732,935,718,349,968,862,129,304,479,929,
293,923,229,398,232,628,660,073,198,401,481,087,536,050,759,745,129,428,835,
811,144,022,629,295,647,837,583,737,193,512,561,657,778,685,051,236,123,811,
802,455,979,077,837,764,745,670,665,403,865,254,676,011,971,891,351,905,546,
467,678,667,234,035,535,565,473,959,374,236,168,608,328,563,107,040,453,975,
567,183,727,415,671,109,172,229,231,801,796,591,137,186,923,875,409,619,743,
583,881,215,942,381,797,306,951,550,547,006,733,483,353,147,347,349,803,604,
912,219,395,411,219,763,167,313,859,820,296,770,017,023,944,480,125,203,616,
111,219,331,091,177,664,658,566,681,096,048,864,337,981,148,077,049,511,114,
030,931,809,857,334,442,322,450,106,354,947,938,423,380,159,698,657,621,184,
605,362,144,560,429,660,032,482,996,235,319,749,760,542,904,457,612,501,933,
653,956,085,097,590,546,793,694,658,273,120,466,924,992,942,950,269,982,617,
186,804,455,373,376,163,678,822,054,824,696,961,857,552,783,418,015,498,905,
734,320,301,047,537,057,503,462,808,098,184,545,451,243,322,636,664,571,226,
261,541,242,399,106,693,927,591,964,437,099,961,645,433,895,614,111,968,364,
538,362,300,187,656,098,502,249,149,929,077,772,605,998,635,811,501,191,579,
216,251,276,132,584,113,024,249,814,363,628,769,803,806,845,115,718,382,182,
199,034,204,880,728,799,013,060,671,446,274,394,623,639,518,351,479,958,601,
822,816,602,699,996,100,043,354,268,907,442,892,142,868,461,696,265,761,158,
744,440,219,573,116,491,613,149,204,475,062,634,466,046,917,210,054,107,733,
734,666,353,427,453,203,787,541,575,606,421,729,325,570,453,788,486,130,269,
002,427,637,952,230,341,833,441,719,776,324,935,144,795,828,464,607,435,387,
942,358,864,398,465,140,261,269,901,520,660,427,465,294,900,486,691,726,886,
671,124,496,900,468,352,550,251,428,385,991,470,355,697,547,376,388,011,594,
537,571,277,842,360,644,946,281,092,582,223,616,427,202,794,143,997,929,540,
227,342,490,835,476,098,650,626,197,216,985,332,111,644,156,875,680,768,450,
174,245,016,837,503,931,895,349,250,724,499,002,481,907,565,929,895,577,572,
194,819,122,325,048,355,042,055,161,469,883,547,782,602,043,844,378,740,186,
915,568,574,239,171,077,905,010,577,651,264,734,771,404,453,158,471,466,595,
087,313,378,456,806,949,497,576,823,810,216,398,796,475,321,167,121,753,593,
803,022,581,792,801,918,955,320,315,691,055,279,609,150,917,038,891,799,504,
619,432,652,888,684,624,358,524,516,582,258,275,564,668,920,971,351,538,632,
293,253,864,960,293,418,456,787,932,247,379,085,581,315,722,443,223,949,320,
837,859,257,690,979,546,712,694,523,555,586,621,943,378,964,040,990,965,124,
865,683,826,541,700,321,435,955,282,823,646,455,545,726,711,593,039,844,068,
535,083,234,511,172,023,211,393,449,257,769,728,183,737,193,587,806,676,823,
457,347,256,160,041,118,382,492,149,034,504,277,268,941,851,884,891,870,062,
289,632,288,865,526,563,930,289,508,239,376,848,651,309,606,267,090,437,767,
536,923,529,529,902,085,084,324,867,146,418,042,804,271,297,725,983,937,296,
713,178,014,908,544,688,243,785,591,632,061,749,004,571,819,555,367,491,770,
564,625,120,050,001,093,507,282,228,208,420,564,073,233,820,746,716,561,557,
353,597,995,736,203,835,690,190,191,444,880,929,756,939,660,786,634,335,018,
720,035,188,492,535,697,590,969,392,816,608,060,766,692,673,415,798,757,075,
254,258,705,413,044,064,064,155,295,799,024,031,310,953,670,845,133,258,915,
469,804,494,650,288,411,738,043,568,593,091,211,019,901,658,675,562,449,301,
936,444,146,618,636,401,121,379,201,062,866,452,170,721,340,079,052,918,761,
093,207,325,097,259,972,871,022,181,104,994,851,787,911,079,373,385,567,037,
784,334,419,500,580,893,087,137,696,291,501,032,733,563,568,651,120,909,135,
885,691,498,000,718,926,962,290,777,997,488,992,698,454,281,911,811,228,279,
162,066,668,156,164,900,305,974,235,090,242,872,461,931,184,090,269,979,558,
510,827,244,324,761,344,373,458,701,884,941,770,542,744,668,924,366,423,806,
674,392,006,986,334,464,658,386,258,949,853,675,144,960,892,166,358,664,782,
441,845,921,830,193,394,266,901,114,170,494,888,901,244,447,056,304,531,260,
885,454,383,667,335,567,727,910,145,549,146,218,587,682,219,402,075,943,742,
079,572,044,861,911,696,565,074,496,050,795,643,616,512,664,338,275,704,869,
807,716,339,092,680,142,201,146,123,992,142,314,740,781,373,274,268,161,818,
097,270,704,328,197,344,085,436,664,368,893,953,501,783,180,078,908,994,861,
280,153,362,093,341,786,369,473,830,146,665,734,701,489,639,345,996,073,730,
387,839,713,793,029,908,677,249,773,875,057,361,224,529,086,427,604,787,816,
370,574,929,861,203,695,801,630,355,388,245,591,172,349,784,764,885,617,200,
482,664,620,956,886,139,461,965,554,851,681,485,103,738,327,568,020,331,031,
124,339,328,019,082,670,773,401,309,837,491,320,829,973,523,833,968,210,385,
664,780,517,673,038,011,450,725,190,988,284,091,262,633,806,373,853,780,312,
941,018,445,743,178,416,600,491,195,933,087,293,153,579,229,768,888,167,654,
047,659,885,553,269,954,808,965,406,659,803,814,661,304,374,382,094,393,816,
142,819,653,684,174,075,767,240,124,138,615,492,427,174,138,333,099,290,968,
519,009,294,713,466,600,421,992,248,917,955,707,040,171,130,518,504,182,365,
220,006,410,920,295,222,173,151,858,396,747,818,453,443,956,728,592,350,847,
007,731,346,522,587,877,413,940,532,083,534,915,978,048,586,261,486,113,175,
109,243,507,389,930,213,891,432,774,988,778,903,970,565,707,259,524,761,722,
449,058,956,784,168,238,899,791,823,455,035,904,263,610,893,677,776,682,607,
784,750,881,115,593,546,723,248,609,447,784,724,687,962,848,041,385,604,610,
765,138,126,184,907,997,493,441,680,449,513,529,256,237,506,353,977,352,502,
827,188,987,909,809,206,264,235,007,621,561,651,795,496,887,434,118,711,690,
920,758,163,726,536,079,652,573,381,478,435,324,562,920,012,877,507,227,281,
827,730,523,584,269,270,892,702,015,437,746,942,371,432,273,874,092,389,216,
723,331,752,608,804,214,699,232,852,220,522,234,422,722,234,642,539,660,101,
708,009,680,007,831,031,967,056,188,932,686,378,470,624,540,431,510,200,687,
744,503,063,513,736,769,438,509,736,655,830,420,625,111,036,426,091,643,465,
763,701,826,340,908,807,057,903,810,887,307,610,402,325,099,976,279,988,709,
801,082,031,156,633,473,141,892,995,499,344,094,385,109,207,095,566,192,573,
310,860,144,227,127,450,049,390,445,439,718,067,156,449,807,693,032,298,176,
849,360,779,830,866,454,732,201,092,294,811,132,242,400,272,030,681,588,159,
040,438,584,424,236,195,372,433,813,524,939,706,604,749,991,182,288,761,234,
523,745,933,506,628,623,138,171,393,323,062,640,921,093,360,152,119,122,709,
481,577,482,039,643,329,011,787,030,937,910,523,996,186,384,925,815,718,338,
104,263,601,351,053,554,414,296,411,345,210,402,520,924,305,299,184,004,805,
254,099,553,622,623,625,174,617,036,930,042,424,785,955,771,388,641,317,847,
057,635,944,093,693,880,877,995,637,136,723,457,781,151,599,801,103,005,949,
554,991,357,649,375,081,058,969,390,582,975,394,622,454,531,932,358,855,495,
189,210,828,710,765,553,689,648,790,883,914,784,702,540,448,279,893,871,888,
004,508,108,896,752,100,457,366,490,604,987,086,754,557,825,954,787,793,706,
301,159,025,694,524,188,914,985,602,788,717,504,430,610,765,220,056,235,774,
197,107,310,755,339,127,881,654,016,759,460,380,962,692,281,163,465,193,522,
676,654,431,462,780,231,478,449,144,616,999,299,293,874,107,267,399,983,477,
529,394,197,363,996,204,105,764,313,397,972,032,801,983,619,793,963,889,278,
699,824,959,855,580,271,819,175,870,480,092,610,588,823,778,915,685,404,942,
750,175,217,767,487,944,400,323,664,776,733,647,404,997,406,382,283,880,703,
058,685,179,978,296,322,189,319,587,954,699,220,317,405,543,539,311,327,422,
827,930,263,212,596,096,704,300,730,828,851,812,267,447,311,729,106,826,033,
864,121,354,656,106,639,392,742,161,485,613,665,538,123,732,038,522,541,041,
217,035,869,555,605,141,184,472,080,392,085,088,030,288,013,218,189,832,838,
756,053,421,230,489,350,064,422,298,617,073,010,148,520,268,713,689,202,585,
654,556,218,114,483,894,724,274,217,680,939,613,446,008,075,746,513,842,347,
332,696,146,557,323,340,195,599,584,703,365,232,946,573,163,989,466,839,841,
508,111,298,632,252,617,449,873,065,107,937,195,049,225,486,669,293,197,259,
886,630,911,300,962,894,493,386,923,267,895,470,812,345,923,909,441,534,380,
714,164,842,853,932,058,666,107,260,102,160,501,013,711,858,248,084,115,058,
522,608,258,989,955,662,901,047,195,261,619,524,605,760,840,801,524,552,887,
980,793,328,869,310,357,345,830,874,242,413,666,189,290,498,971,719,319,207,
291,505,268,246,758,582,380,386,492,466,781,985,412,494,022,867,748,006,500,
986,028,120,606,886,112,521,721,470,140,640,503,030,588,208,846,517,671,863,
973,134,941,616,723,351,486,593,917,541,871,599,477,037,821,281,841,130,547,
697,046,897,423,919,453,826,890,476,873,321,655,047,677,889,076,356,067,718,
094,354,554,481,740,629,812,076,669,961,340,807,429,272,929,320,452,590,487,
212,818,832,506,155,747,126,727,234,490,747,092,524,952,233,765,396,593,082,
044,076,131,284,297,591,406,650,054,232,164,025,062,361,844,437,641,067,225,
606,719,174,706,169,023,354,993,629,860,059,367,731,375,119,589,562,998,328,
239,670,261,945,759,350,663,697,927,481,527,809,949,471,561,163,077,489,536,
949,180,329,225,668,205,905,387,596,426,391,581,423,355,175,655,527,949,379,
883,690,401,404,337,146,292,299,061,212,082,986,732,555,269,123,210,354,896,
733,954,537,217,346,711,144,348,630,431,436,617,328,527,368,205,178,943,471,
986,528,620,830,624,547,098,538,540,242,842,281,002,610,848,778,518,698,921,
815,461,085,130,032,890,272,853,557,740,606,711,779,872,684,666,940,863,368,
324,654,114,580,349,523,116,454,183,547,720,579,606,768,199,207,049,053,503,
866,207,447,394,648,502,113,679,146,459,986,268,346,813,285,044,304,738,500,
243,144,068,043,889,312,253,441,079,142,568,631,844,298,620,063,046,981,320,
169,858,579,702,204,860,853,748,032,966,204,662,606,341,474,845,963,824,185,
163,060,505,422,469,446,244,121,109,641,729,793,055,179,396,961,866,218,481,
937,975,269,568,189,234,015,661,069,522,758,400,522,068,309,325,707,598,066,
568,062,053,069,688,147,117,154,968,192,228,559,064,168,923,111,673,531,335,
861,524,794,270,798,121,315,955,278,937,153,456,795,698,495,698,619,288,463,
678,555,152,041,521,349,299,525,991,407,308,092,542,799,673,664,082,318,945,
495,514,471,730,231,787,852,882,718,702,946,220,777,418,378,715,776,942,516,
649,609,696,306,540,933,920,635,231,052,373,733,739,207,201,686,855,865,681,
012,441,978,000,996,390,712,382,103,542,546,388,104,606,548,631,684,549,512,
368,637,118,830,843,308,347,536,449,360,640,976,109,730,614,475,471,698,645,
204,726,822,941,032,462,102,376,307,128,344,711,771,082,162,220,454,494,312,
514,570,513,018,425,858,414,423,235,399,347,768,763,269,862,345,072,564,380,
762,397,229,823,527,496,808,466,177,886,023,165,692,527,038,652,903,155,330,
423,364,662,241,978,607,834,977,154,800,026,743,185,937,054,243,242,599,063,
159,730,092,977,058,013,512,628,497,402,760,610,429,487,494,095,821,701,846,
238,642,952,003,558,159,072,198,589,272,408,025,730,934,152,672,799,279,920,
057,005,187,350,775,088,686,953,960,374,644,163,664,348,310,019,173,319,012,
065,332,117,661,723,814,202,569,566,597,191,484,903,643,142,484,302,522,315,
047,269,618,974,247,607,326,930,259,953,166,037,776,271,534,961,678,463,666,
564,034,766,704,380,535,671,401,115,810,729,804,267,325,592,593,354,061,642,
448,709,838,767,181,412,202,482,940,544,740,111,051,751,917,927,532,391,193,
172,989,354,640,074,431,358,495,300,778,456,849,859,045,480,749,583,171,815,
389,385,174,570,386,044,429,091,012,959,341,524,885,593,927,929,976,036,586,
317,405,219,429,696,082,725,405,672,721,594,966,654,092,020,543,493,612,854,
371,964,745,013,808,683,962,238,440,586,650,797,952,563,704,566,858,082,113,
595,374,446,974,602,957,898,267,185,286,505,090,799,175,638,412,602,594,876,
643,830,985,497,226,010,005,585,880,227,498,408,212,477,879,116,593,602,501,
989,680,793,140,376,475,047,948,918,886,071,020,501,550,358,841,075,180,160,
486,629,463,031,335,087,518,745,228,447,206,439,248,895,158,779,290,592,585,
341,827,364,764,172,742,418,207,271,487,749,394,240,761,205,863,420,606,894,
709,088,748,935,982,004,646,940,406,173,206,612,680,266,258,953,379,582,596,
530,904,382,288,341,534,435,608,111,170,819,508,000,924,908,416,521,757,200,
162,172,589,474,939,440,764,521,268,348,498,027,069,264,880,075,537,831,377,
246,007,376,387,981,223,397,984,176,763,310,453,617,248,955,425,967,880,152,
755,902,414,622,250,532,426,192,485,487,664,626,576,916,560,933,158,064,056,
971,258,562,470,332,345,430,694,117,394,971,121,026,085,083,520,438,127,004,
836,373,436,645,193,375,062,108,770,200,597,013,773,655,803,901,559,867,734,
278,477,406,460,707,175,245,202,099,303,442,586,307,118,005,237,843,632,405,
397,022,840,171,418,545,138,803,605,506,766,970,968,489,523,528,504,222,881,
616,409,115,551,737,567,105,027,594,425,016,791,242,642,057,045,932,994,175,
318,146,648,168,054,508,004,737,539,109,633,143,252,168,120,792,244,925,580,
449,288,988,785,003,093,692,339,443,095,501,344,671,697,108,882,716,812,438,
390,565,914,594,627,006,918,528,094,429,492,073,791,758,112,584,287,049,825,
714,785,026,886,329,815,952,887,009,475,093,690,798,954,563,819,337,908,581,
826,203,400,859,560,975,159,731,677,511,990,606,240,370,457,016,095,867,472,
508,299,118,686,382,043,405,218,282,757,480,203,286,402,896,478,032,444,725,
292,529,227,284,475,085,386,763,251,183,153,660,834,617,571,202,713,405,470,
948,791,327,365,145,652,139,185,042,653,139,239,957,660,813,121,771,464,871,
734,545,508,677,187,839,908,131,490,518,584,229,846,628,119,060,010,911,079,
389,486,993,582,446,804,439,316,479,501,038,042,917,950,091,667,064,945,650,
970,391,079,484,754,813,370,270,581,477,481,042,285,304,258,249,549,312,465,
629,325,010,746,586,283,792,560,754,578,895,388,726,575,495,067,459,834,695,
799,695,179,589,793,310,308,043,609,030,197,278,722,045,820,866,329,897,596,
218,699,864,874,853,433,688,935,925,929,248,269,586,062,650,748,707,947,800,
508,025,657,100,153,253,367,931,763,857,479,849,144,386,229,004,591,843,382,
973,964,830,653,672,697,116,308,125,585,501,159,075,701,423,622,869,139,582,
033,902,761,862,749,074,527,254,503,205,660,779,585,091,946,952,239,926,629,
895,111,496,618,942,911,438,527,162,464,480,068,046,602,447,910,078,112,761,
791,979,090,973,590,861,214,906,481,521,213,447,232,371,617,289,449,358,139,
830,967,772,974,782,561,274,394,087,074,199,471,067,594,909,162,288,583,181,
635,648,495,205,234,950,904,624,327,483,875,322,322,020,230,263,638,929,104,
789,097,056,907,844,856,137,555,925,857,883,533,834,983,919,169,400,223,463,
780,738,098,890,339,546,147,114,362,702,603,526,342,015,907,519,506,616,984,
508,740,168,781,735,175,640,193,167,730,381,039,114,010,967,771,881,704,311,
584,550,175,380,494,195,249,566,580,147,698,876,834,997,248,935,807,043,360,
672,277,818,778,177,210,002,255,616,067,882,564,777,808,151,997,317,991,871,
643,142,904,885,567,237,705,535,666,526,876,746,348,067,363,838,499,364,622,
370,327,173,684,386,031,741,769,772,435,422,756,524,172,548,748,471,214,424,
165,745,679,061,210,398,502,468,969,883,214,050,632,539,351,388,347,259,032,
542,885,593,611,210,779,660,961,555,983,699,461,060,342,796,196,931,498,922,
325,138,288,225,158,582,538,075,950,042,644,225,915,814,183,578,425,644,676,
725,393,048,211,892,644,636,109,324,241,389,380,691,779,949,352,281,385,643,
166,412,469,021,090,900,114,830,551,616,628,212,940,240,405,080,599,950,299,
848,021,000,491,778,787,314,983,374,791,845,594,462,930,690,170,288,368,831,
092,186,631,892,788,517,098,009,198,126,982,219,755,131,298,450,239,189,631,
683,572,482,409,078,517,920,835,799,991,532,831,125,156,629,783,265,138,037,
393,257,773,194,367,397,798,537,083,388,028,867,048,648,868,611,532,758,115,
952,575,296,244,844,466,295,785,381,418,439,306,200,917,345,905,755,236,844,
149,388,301,019,162,436,868,742,265,294,672,704,261,650,326,762,441,566,447,
211,568,570,227,730,041,022,726,144,444,706,285,755,886,510,987,015,761,776,
995,822,366,772,349,917,798,470,806,803,875,646,985,012,548,390,398,582,624,
410,201,076,855,867,010,436,711,263,773,981,761,278,719,606,299,956,904,123,
908,973,749,153,092,566,841,037,451,087,618,104,172,077,762,857,616,175,802,
045,236,300,460,097,734,618,285,563,646,631,649,150,439,843,085,955,862,606,
378,150,341,441,630,780,220,818,766,450,325,720,949,679,163,786,255,282,978,
983,862,453,791,862,765,985,958,891,765,788,522,787,501,873,363,529,505,269,
621,753,105,866,742,975,691,477,137,341,732,200,382,858,339,913,915,193,143,
550,724,186,246,224,238,166,390,203,240,201,461,810,019,998,231,278,010,367,
063,169,827,719,967,195,726,487,361,185,278,489,173,142,674,646,444,313,415,
641,735,879,906,817,289,973,233,740,102,945,353,647,934,074,455,227,391,524,
072,100,148,305,476,095,834,428,437,584,368,278,906,229,015,112,673,110,315,
030,094,478,088,753,579,729,071,718,279,009,164,766,004,273,341,446,550,914,
092,235,240,089,646,090,747,322,951,510,293,155,212,449,940,087,423,072,075,
267,683,694,891,305,977,401,576,090,618,267,753,884,009,096,095,515,400,147,
230,021,050,036,558,587,907,314,479,474,476,669,634,631,227,401,564,785,657,
402,528,598,890,054,851,362,425,533,960,913,546,532,362,167,936,814,002,778,
009,310,532,201,860,658,780,649,660,301,385,537,031,956,440,864,372,695,924,
596,864,856,042,687,568,667,072,426,148,463,584,904,072,379,533,243,881,558,
173,897,432,745,058,787,709,286,740,633,931,586,133,817,646,577,044,999,962,
635,730,996,940,966,910,323,344,853,430,443,568,266,182,416,401,926,189,648,
473,379,028,750,423,688,224,839,160,923,381,658,866,238,522,722,358,835,287,
019,724,405,000,441,074,953,082,521,856,167,944,436,304,323,467,135,173,534,
531,099,047,973,204,304,960,095,205,320,393,851,555,324,316,536,067,816,143,
540,383,325,990,660,428,320,664,593,010,185,112,173,138,976,917,839,068,658,
278,841,588,105,572,333,918,051,791,341,794,454,717,971,469,245,621,243,516,
360,467,567,947,776,756,907,807,638,502,423,334,411,904,585,727,350,237,453,
878,308,515,085,000,656,993,361,534,990,536,398,365,843,344,503,734,586,926,
160,054,290,202,155,738,996,880,104,309,359,667,431,218,462,319,811,403,531,
598,390,249,428,886,373,597,685,915,094,819,378,070,680,940,920,984,148,122,
461,905,639,991,054,031,527,722,450,191,584,087,759,808,166,178,070,003,294,
678,585,720,547,648,757,840,318,334,513,221,132,603,667,658,596,916,959,753,
544,778,433,901,383,198,742,874,675,024,569,467,438,148,042,965,378,500,691,
360,251,973,050,713,201,839,887,061,748,962,851,588,270,645,377,959,914,682,
242,768,482,355,557,057,757,425,569,758,394,693,433,935,465,112,061,081,915,
283,018,892,518,160,433,312,524,859,823,488,123,837,703,434,231,897,190,883,
760,482,255,586,181,699,710,050,186,088,534,112,807,480,036,899,029,343,543,
781,115,641,707,505,456,976,313,142,706,505,706,266,198,914,829,452,010,905,
609,878,228,284,880,838,351,464,766,454,720,453,128,274,336,274,856,432,753,
475,785,840,976,709,483,672,722,134,688,571,553,468,278,824,809,715,291,092,
990,565,572,669,482,444,420,753,474,904,999,279,100,096,840,234,705,721,289,
367,272,705,852,197,226,286,917,380,030,389,677,770,906,203,902,122,597,510,
271,362,684,750,997,098,645,989,613,142,721,645,992,578,422,001,390,454,182,
005,413,398,976,680,605,060,594,937,914,967,542,240,998,122,643,269,962,718,
286,798,198,689,606,373,846,525,288,807,291,511,711,530,385,552,220,710,273,
895,715,871,168,536,222,364,658,454,060,057,082,373,072,943,457,417,566,803,
836,322,282,854,052,613,279,601,535,422,267,436,413,938,562,782,845,031,859,
562,492,822,894,447,079,872,665,448,422,148,508,571,549,900,068,563,251,682,
223,735,370,352,548,016,448,830,060,985,834,470,774,040,545,759,300,959,826,
582,990,348,239,905,967,429,204,549,908,480,356,721,414,464,459,987,121,615,
092,722,034,310,109,157,731,260,291,315,209,666,495,006,512,067,525,395,421,
942,408,396,095,911,319,096,582,969,216,959,347,752,393,432,182,034,056,600,
878,370,498,800,573,586,924,509,411,903,123,005,668,369,868,477,336,090,517,
093,909,611,667,365,323,228,626,696,957,264,580,322,244,476,790,118,193,232,
211,732,990,029,750,214,212,934,020,010,563,707,451,817,154,532,654,084,854,
226,463,711,546,764,797,433,829,381,075,598,092,769,258,384,274,903,646,605,
858,685,927,011,128,238,062,019,483,451,140,559,819,195,533,039,157,770,058,
688,567,183,657,634,316,659,479,031,477,435,229,155,131,054,057,616,792,950,
259,764,676,409,382,683,866,329,079,817,729,944,687,424,142,390,594,869,678,
457,523,133,683,331,837,347,442,334,380,130,690,768,161,876,571,832,397,310,
510,629,395,337,752,677,477,278,155,014,554,569,526,926,514,800,679,511,671,
093,866,897,791,031,353,924,580,582,797,181,566,020,942,078,636,068,797,801,
947,083,037,831,501,154,091,407,741,901,249,750,538,340,948,420,507,209,109,
544,230,924,794,089,318,280,653,053,297,252,605,544,956,073,864,038,411,272,
306,454,690,893,224,632,063,722,439,294,962,980,958,344,116,270,324,184,997,
639,590,794,365,436,687,988,469,375,487,707,868,444,558,395,793,948,467,578,
858,748,957,386,279,259,297,872,785,127,935,436,124,265,234,435,343,535,480,
102,959,536,570,428,178,130,287,952,158,263,511,068,048,829,507,217,272,362,
675,444,504,387,445,624,603,236,287,570,886,175,153,156,813,657,575,715,685,
938,868,951,512,150,685,616,587,147,558,914,702,237,045,969,458,423,902,847,
628,052,703,402,394,503,930,227,495,776,043,331,643,466,543,141,555,922,642,
909,493,269,053,815,685,538,075,391,627,805,504,376,412,819,997,884,715,531,
452,056,440,074,847,113,309,904,243,975,118,056,547,363,921,978,164,961,141,
972,295,995,114,979,573,707,713,059,647,700,237,804,411,220,452,277,006,476,
017,580,757,520,405,894,112,456,081,208,363,482,744,048,484,500,374,816,202,
440,095,251,630,863,614,486,999,830,094,083,886,858,178,987,943,811,564,314,
619,902,340,521,536,856,162,390,799,617,395,335,557,814,818,756,976,962,467,
410,418,574,838,437,481,194,183,975,303,953,161,581,126,235,985,299,281,784,
980,435,284,695,423,584,567,405,900,255,452,449,818,229,115,723,753,933,992,
664,000,492,465,997,860,877,626,231,357,742,327,288,169,712,073,641,179,248,
740,502,712,184,459,340,341,008,129,648,962,810,208,684,359,585,395,294,747,
998,470,425,805,419,849,092,600,936,317,069,133,396,223,920,363,106,022,408,
352,823,523,393,801,045,800,821,100,257,626,881,967,422,749,067,469,835,927,
949,551,953,363,544,551,023,602,567,001,102,695,934,480,312,851,486,094,995,
259,165,831,854,844,065,885,594,399,222,833,776,325,686,907,002,947,209,603,
317,843,498,799,218,148,719,641,651,433,311,410,087,772,353,068,426,882,872,
503,554,631,744,536,172,140,911,745,170,861,636,476,115,647,190,888,402,414,
936,230,906,922,279,819,943,005,020,728,817,956,023,439,469,913,376,106,894,
033,473,102,244,402,563,850,368,848,599,663,082,700,431,963,025,778,229,591,
526,391,884,125,588,454,291,400,818,593,252,197,398,239,784,582,367,126,334,
594,729,378,765,167,542,218,165,141,997,514,851,658,926,311,296,281,752,520,
310,503,797,690,256,258,784,370,756,884,103,034,098,833,538,220,517,746,179,
157,330,801,004,796,910,717,332,830,896,365,351,965,837,915,146,396,772,205,
125,050,416,190,608,042,287,077,340,047,085,448,711,559,702,960,977,675,251,
409,331,314,094,963,170,812,167,853,793,683,501,130,680,147,737,138,053,856,
465,658,041,800,197,608,289,879,196,166,192,748,309,126,362,650,014,081,580,
702,066,228,613,358,299,896,612,625,379,097,908,123,850,666,623,699,656,689,
069,386,724,830,331,440,756,865,457,965,926,106,537,419,205,185,094,274,650,
475,459,535,892,328,263,378,842,343,443,941,373,276,165,561,021,744,405,024,
601,042,519,461,797,975,897,105,372,625,734,559,972,675,038,644,738,768,523,
030,567,695,239,829,305,574,729,012,334,700,815,829,694,932,606,111,679,244,
742,344,977,202,170,344,952,452,631,518,661,909,308,308,245,874,035,729,629,
373,593,648,618,390,453,080,173,426,925,364,034,178,689,796,111,704,065,794,
860,120,825,362,816,388,466,716,658,481,008,699,611,325,469,510,646,647,911,
393,316,696,501,805,751,373,059,669,109,270,825,263,137,695,757,348,495,033,
101,614,927,303,908,157,341,626,030,753,682,476,588,289,211,823,072,283,427,
565,054,802,594,690,917,781,065,032,197,205,756,609,129,306,303,232,013,158,
438,562,636,824,469,031,657,154,583,629,669,498,245,611,354,689,434,145,389,
556,998,766,923,194,887,059,942,944,853,808,845,042,432,841,964,224,431,512,
291,980,407,561,589,543,277,910,961,731,563,423,178,749,577,830,314,264,161,
469,989,122,719,712,932,594,590,167,478,616,119,412,856,103,114,665,036,569,
136,602,210,563,411,302,938,098,130,627,609,826,697,578,296,503,475,832,986,
657,118,634,912,350,060,306,791,904,882,634,168,092,720,972,075,442,637,421,
764,785,942,679,769,795,010,770,067,323,082,377,058,234,944,253,108,616,457,
385,442,961,129,411,073,549,706,213,517,744,481,306,969,052,886,385,403,871,
085,775,453,092,143,063,558,944,846,438,872,656,861,421,027,376,636,217,923,
612,803,005,793,534,989,249,932,900,330,279,512,635,039,744,094,128,323,069,
473,018,692,588,878,855,970,671,254,475,740,841,509,052,339,957,485,009,032,
855,306,215,348,841,063,449,637,284,873,061,260,779,990,049,848,473,259,429,
153,650,096,653,143,323,185,699,597,409,586,672,207,386,884,505,475,647,993,
681,753,930,359,082,555,020,882,448,063,632,007,350,675,260,611,672,209,454,
100,587,572,290,137,160,216,956,352,426,724,857,551,685,410,966,813,828,280,
995,066,549,766,013,581,187,008,015,709,923,474,079,985,219,443,836,342,314,
299,436,685,167,695,037,017,755,075,998,211,209,124,395,324,894,131,427,803,
641,810,688,909,684,166,098,657,939,504,510,229,716,266,010,266,843,436,708,
084,958,417,599,834,645,599,458,428,922,874,338,102,240,389,864,652,736,984,
163,917,919,131,004,305,892,470,976,028,982,804,282,570,498,768,538,157,449,
218,613,803,007,143,282,083,442,160,649,777,390,729,186,173,006,199,425,682,
636,931,197,951,663,689,195,011,997,372,458,182,847,982,111,186,647,367,736,
837,265,666,417,829,209,833,368,747,354,314,599,596,746,297,607,804,013,203,
939,924,734,023,499,732,423,745,168,259,733,398,341,769,691,980,646,369,190,
380,218,582,984,262,824,984,873,850,253,519,524,090,062,716,872,222,614,547,
107,678,333,618,122,293,569,494,165,417,003,910,815,369,846,028,672,954,114,
081,891,762,683,927,918,669,884,251,419,222,080,968,704,276,603,661,944,714,
887,412,444,251,382,619,180,734,171,177,250,850,398,558,660,935,361,210,319,
653,412,467,821,152,059,301,036,643,779,688,730,352,783,022,065,980,542,753,
685,254,974,314,392,705,788,864,090,498,146,076,764,606,756,612,689,805,138,
642,794,412,738,148,777,369,334,188,901,209,587,258,566,639,234,460,508,799,
413,557,926,276,534,817,180,373,217,025,443,954,508,954,131,863,921,290,835,
281,948,028,384,228,201,404,452,261,920,009,239,500,374,330,732,075,384,895,
907,279,318,276,074,053,581,534,069,926,209,904,616,064,899,114,598,618,907,
608,482,871,676,586,465,037,208,240,181,252,309,470,338,769,317,117,539,770,
493,612,009,052,866,521,545,347,489,291,004,670,959,413,977,938,903,944,949,
783,211,606,244,804,566,042,571,661,301,456,799,754,651,742,813,216,267,081,
767,943,899,994,798,876,265,181,034,960,661,708,355,880,624,461,202,559,252,
044,571,500,794,536,746,880,753,240,952,812,366,355,955,649,515,773,386,557,
545,724,339,379,632,826,720,834,687,477,667,481,343,936,188,210,601,598,519,
475,057,021,984,027,566,854,773,366,603,916,235,692,449,050,384,126,143,378,
574,625,001,446,111,168,218,923,216,284,421,461,433,771,909,820,858,619,417,
041,665,343,181,397,998,966,339,747,487,622,882,637,227,316,959,783,958,736,
912,520,836,174,315,970,226,847,142,253,109,586,672,403,287,319,232,847,171,
741,063,423,219,179,972,494,684,926,055,174,352,489,921,556,166,114,777,373,
963,066,656,487,952,451,544,893,696,948,743,868,626,287,222,549,106,332,191,
658,356,755,509,676,418,109,375,065,603,933,548,722,989,114,637,482,572,495,
564,340,599,460,406,844,332,310,439,031,264,554,908,532,448,321,133,106,433,
157,189,956,342,336,975,884,938,261,101,756,140,932,937,988,831,443,149,118,
058,941,417,393,536,224,490,386,929,832,234,147,821,372,173,171,495,756,118,
603,137,075,763,669,900,288,372,774,828,111,309,357,445,471,639,814,865,257,
669,587,603,869,344,048,815,200,167,668,788,938,879,940,189,547,059,286,189,
436,909,968,555,082,143,591,547,576,062,300,110,961,214,335,231,855,276,202,
325,318,930,285,833,432,279,187,459,093,340,955,553,147,696,564,969,010,757,
397,861,522,329,047,979,888,423,633,793,992,220,932,277,667,753,303,256,118,
918,991,930,347,549,995,634,430,659,254,404,084,906,731,329,824,036,083,857,
332,017,198,336,495,023,005,232,058,463,319,829,319,606,851,418,552,804,038,
812,873,544,412,560,362,467,359,873,404,486,288,784,363,757,843,717,678,459,
709,818,786,331,216,451,402,283,554,841,167,144,093,955,678,758,168,345,874,
392,606,611,092,959,360,190,712,681,740,153,169,092,493,745,059,186,707,654,
504,516,466,193,883,325,475,778,765,590,750,104,624,711,365,510,435,946,110,
632,272,208,680,678,844,418,383,924,729,765,916,076,982,079,753,570,516,972,
652,249,160,674,251,347,933,223,182,315,286,903,000,562,156,174,394,182,765,
928,471,911,832,850,720,519,893,936,068,704,466,254,783,039,300,951,741,268,
155,402,200,250,903,769,151,544,259,656,342,660,574,442,552,688,120,675,772,
215,711,602,799,985,142,521,518,903,626,941,810,808,222,625,879,670,881,368,
872,149,207,090,363,138,916,937,934,209,136,213,978,418,681,833,546,192,315,
299,075,145,649,541,911,267,465,463,254,965,127,330,733,967,407,631,983,048,
549,878,734,689,953,928,328,291,815,301,510,856,865,585,192,124,373,186,029,
504,013,053,711,475,355,916,984,338,045,501,688,522,089,856,062,652,679,327,
590,901,413,659,143,802,789,656,690,285,841,159,122,341,381,177,395,113,321,
107,558,044,791,728,317,335,257,636,765,734,547,356,594,236,323,839,460,800,
717,222,692,740,232,803,105,081,101,232,351,729,096,199,843,477,639,546,251,
790,211,252,980,569,442,483,585,645,915,105,117,594,874,230,209,326,140,974,
196,609,650,114,107,615,577,728,358,533,566,178,592,921,588,556,890,643,294,
345,572,873,937,383,891,075,379,880,148,232,708,508,034,911,423,464,615,313,
795,481,847,229,536,624,212,154,164,234,522,140,332,685,697,898,318,933,671,
785,139,570,979,110,252,389,475,329,280,526,517,555,116,272,047,850,396,612,
433,642,309,652,992,658,476,842,988,025,913,578,185,291,486,345,238,512,408,
525,202,719,554,864,862,342,308,027,661,036,661,827,204,877,450,858,154,351,
887,918,163,922,809,430,794,603,183,088,854,386,526,363,214,681,460,923,790,
547,575,245,579,983,445,019,457,070,860,706,518,754,714,248,553,008,418,374,
893,879,360,293,583,386,218,789,410,866,421,998,571,824,763,491,780,778,497,
744,453,813,533,934,984,841,287,887,120,028,655,121,677,179,519,018,413,845,
693,148,581,523,272,441,512,304,463,724,563,193,466,615,953,517,735,886,993,
340,313,308,695,987,966,531,904,743,064,572,109,319,520,987,196,285,402,375,
853,728,371,270,971,240,194,279,255,990,387,374,112,225,579,514,007,380,413,
764,775,722,326,555,441,088,551,639,526,968,731,583,450,949,188,210,950,410,
454,118,287,134,994,020,268,143,345,909,687,970,523,087,690,095,978,506,490,
972,661,991,906,069,466,450,823,926,878,412,881,687,408,419,505,450,749,240,
893,183,676,951,406,382,296,620,526,584,542,628,583,796,612,105,573,641,663,
703,115,516,084,469,250,417,392,342,913,983,163,258,540,022,953,149,514,461,
155,973,074,465,467,573,900,956,789,852,810,275,851,302,571,971,104,339,063,
412,597,346,460,100,074,919,120,866,987,938,939,151,720,711,772,022,678,956,
822,249,026,688,343,825,994,438,802,046,879,766,544,286,436,184,504,445,247,
726,463,638,294,796,422,954,139,142,742,076,516,160,963,235,821,648,650,405,
382,557,945,849,318,724,859,337,086,028,379,055,958,929,633,454,495,684,199,
745,838,944,266,853,322,211,330,293,047,172,961,071,345,364,982,761,296,216,
214,101,189,844,326,282,297,198,891,950,365,100,491,871,877,936,594,260,552,
386,086,939,737,864,568,411,655,708,187,368,497,195,790,994,518,873,042,233,
951,421,009,979,285,386,728,050,575,460,956,290,549,108,174,195,051,710,911,
283,617,248,967,011,642,497,001,587,676,260,486,105,796,424,335,234,684,391,
766,691,278,914,287,458,254,824,168,123,415,044,104,916,808,966,912,223,200,
417,889,626,952,995,244,109,212,117,443,329,834,347,303,399,139,869,135,878,
869,913,259,309,359,383,003,347,486,985,785,528,471,025,123,695,258,616,987,
672,183,107,221,418,528,682,997,210,852,698,048,509,983,043,513,048,160,527,
054,330,582,457,442,840,774,423,912,015,839,390,428,150,047,030,944,475,522,
837,683,937,757,116,479,351,110,553,963,891,399,660,792,277,506,962,197,528,
095,954,450,890,974,259,822,522,433,550,343,346,285,532,665,251,901,508,436,
729,226,973,548,229,755,943,753,216,994,098,181,990,215,725,795,532,924,010,
794,778,180,454,582,524,819,205,742,450,488,370,259,759,658,737,209,575,099,
850,006,587,028,771,246,162,362,862,065,747,540,440,217,134,363,025,250,690,
933,620,457,796,640,421,189,404,747,501,388,917,696,998,057,001,445,653,472,
874,659,557,501,495,601,973,818,313,098,547,032,462,257,391,864,042,309,649,
168,759,533,684,904,281,101,597,553,454,292,506,465,224,505,934,455,946,946,
307,663,431,370,285,137,410,477,936,067,228,339,465,669,816,032,663,877,798,
306,186,802,500,738,850,362,552,474,819,546,096,547,170,359,675,209,189,420,
682,557,812,278,339,897,712,508,708,723,069,770,723,008,758,560,976,161,598,
878,683,672,921,746,424,471,566,693,173,676,246,523,520,190,387,515,249,679,
436,969,319,999,136,652,754,241,066,494,426,983,919,731,992,108,944,353,037,
278,043,525,017,963,178,460,401,682,040,582,254,655,019,084,869,609,474,764,
825,846,787,982,397,646,606,237,450,500,477,491,044,226,762,456,864,970,222,
408,563,340,578,760,796,355,315,165,146,031,052,644,767,064,148,016,956,532,
417,306,623,830,628,010,810,804,750,250,227,372,146,431,529,230,874,640,572,
340,312,920,918,413,163,405,395,055,969,738,579,665,380,547,123,137,953,330,
850,749,346,334,350,558,967,426,756,686,757,594,325,410,483,406,123,228,122,
757,771,211,625,569,880,346,781,889,655,107,624,244,016,813,455,106,559,457,
273,927,685,322,785,568,942,662,350,382,397,373,010,262,347,826,515,915,894,
887,348,767,692,237,750,574,281,506,145,938,963,881,644,282,019,167,895,371,
421,898,666,972,999,257,530,650,368,606,815,140,285,265,594,141,860,903,379,
157,508,944,565,496,518,198,647,906,646,043,858,141,574,097,189,622,420,944,
073,021,280,945,331,145,544,184,451,534,065,413,086,059,755,382,539,424,289,
053,290,959,908,871,704,416,470,178,585,101,647,902,971,658,220,343,874,682,
329,892,147,127,192,379,877,486,420,462,269,564,081,497,432,383,624,644,529,
360,296,311,036,760,124,730,415,181,629,111,624,342,516,160,602,805,756,980,
009,759,304,402,826,601,343,024,662,882,865,746,502,901,655,724,982,678,222,
366,985,317,886,847,687,204,922,951,784,174,019,355,249,237,042,440,509,780,
067,634,572,170,729,194,322,281,354,276,759,799,828,449,802,526,782,135,247,
063,917,947,119,371,923,012,968,599,901,247,420,495,861,196,878,370,717,611,
182,583,677,276,662,006,960,489,018,628,654,361,930,308,769,318,598,549,862,
043,824,030,140,346,812,317,656,665,808,360,066,200,622,377,538,940,440,254,
021,716,585,386,061,548,433,681,501,608,641,734,366,081,306,070,569,463,228,
343,940,780,228,273,823,553,321,971,355,283,338,836,771,558,447,738,676,788,
812,666,576,939,553,659,141,924,627,586,157,228,439,445,380,537,109,105,817,
076,598,030,510,052,628,052,308,208,169,259,475,388,130,155,321,351,436,515,
897,617,487,787,257,006,862,771,306,843,574,981,451,231,144,501,989,859,184,
923,139,971,630,565,985,227,960,368,948,509,946,487,568,231,956,764,083,230,
351,842,753,476,777,302,387,188,085,585,625,664,896,452,718,176,106,526,034,
177,061,806,267,292,310,262,848,758,945,361,183,860,654,812,695,595,637,099,
092,123,847,623,054,254,366,275,793,430,341,621,138,098,327,920,398,759,655,
945,689,738,139,376,414,303,278,639,928,295,580,232,480,789,651,538,615,401,
597,971,880,022,562,140,810,527,767,643,263,058,990,715,323,840,555,098,934,
545,939,704,953,348,174,359,385,029,708,268,561,159,149,611,632,109,546,468,
660,038,872,071,101,420,434,302,793,951,439,008,816,167,426,735,544,707,080,
480,510,637,736,090,284,592,129,817,447,780,223,730,610,818,320,969,947,819,
487,680,892,153,196,979,508,303,786,211,040,385,394,535,236,918,543,218,487,
908,235,031,534,035,699,794,889,762,570,975,317,966,337,820,322,336,072,092,
221,932,737,184,233,026,254,327,014,158,199,662,683,980,699,343,364,495,779,
685,512,137,241,543,609,685,616,435,697,741,926,998,770,388,188,145,905,481,
137,376,409,113,585,198,987,355,210,943,733,440,453,730,407,852,737,739,290,
095,678,932,858,943,575,775,765,769,860,377,398,659,281,293,452,019,969,327,
233,136,070,280,660,901,589,128,997,960,243,347,566,946,376,542,754,275,691,
304,959,949,696,369,911,366,164,726,238,050,720,497,277,776,110,305,340,654,
735,241,063,358,564,672,632,586,224,346,744,342,191,812,619,103,859,953,873,
304,151,139,746,288,938,788,724,217,492,487,816,350,278,240,964,860,658,181,
192,545,408,450,388,882,266,446,185,349,316,536,611,006,671,520,226,818,837,
228,695,176,015,352,959,761,308,623,173,482,462,188,839,427,610,256,253,619,
997,049,719,861,645,267,570,515,964,938,723,298,565,342,598,688,644,935,971,
302,267,648,001,318,786,122,650,784,017,352,548,082,845,352,241,342,180,963,
600,413,297,732,135,299,793,291,038,229,617,204,927,178,453,527,035,799,765,
151,859,647,628,706,723,450,297,170,275,612,833,289,941,043,610,507,984,704,
373,405,771,337,852,227,448,390,014,153,491,815,057,061,577,209,369,222,816,
371,286,443,560,734,316,605,099,731,955,194,830,960,764,276,917,977,244,492,
401,070,394,111,832,118,419,559,881,074,278,992,298,629,694,057,062,918,040,
732,518,518,834,113,700,421,703,939,188,774,760,118,772,727,635,090,620,041,
973,494,450,240,213,823,142,803,884,706,361,536,154,903,726,280,364,286,963,
104,190,149,995,225,457,411,208,466,110,013,338,555,952,691,605,061,529,955,
636,662,505,755,239,163,112,913,732,232,178,966,898,926,295,709,796,976,687,
731,831,376,282,308,220,439,680,387,901,457,746,674,470,654,285,948,048,316,
687,640,986,565,573,720,923,198,620,040,538,726,054,686,557,552,527,342,390,
203,196,157,470,772,127,649,304,585,595,406,508,174,060,039,695,547,537,090,
012,085,422,276,203,108,597,866,382,837,998,504,470,747,542,579,333,652,971,
888,229,205,444,039,275,208,905,870,223,590,861,164,196,876,253,319,557,324,
009,497,013,177,639,557,449,910,116,290,776,722,289,284,828,864,653,729,794,
473,713,680,175,964,194,647,011,824,028,358,827,026,404,788,124,018,049,573,
837,825,387,029,983,677,131,754,783,843,914,641,214,784,038,952,179,722,053,
687,936,115,747,545,204,918,533,829,468,167,955,551,401,197,660,729,780,039,
553,694,003,516,186,269,055,776,826,715,665,101,567,620,767,852,833,467,963,
986,763,663,177,479,074,841,508,568,820,244,935,374,124,777,754,228,202,559,
721,434,125,018,662,454,856,661,598,334,829,538,150,958,062,925,142,694,194,
105,409,303,398,755,797,597,343,479,760,645,655,102,328,094,037,970,375,147,
901,152,790,037,804,797,991,680,688,514,157,321,775,563,097,037,237,972,254,
562,886,563,363,583,032,281,008,468,565,910,229,607,256,265,901,929,240,418,
507,490,646,914,819,981,415,884,572,807,576,694,781,436,815,570,767,950,262,
618,108,686,785,775,397,720,213,464,429,739,323,550,507,801,546,713,097,712,
246,698,469,807,566,554,393,767,708,412,934,117,739,068,286,268,170,951,841,
655,095,134,277,122,116,220,148,537,432,090,919,386,549,436,280,335,943,410,
591,365,012,243,011,289,881,825,099,531,797,344,297,139,442,495,751,398,716,
827,504,483,491,287,836,161,784,733,195,355,435,937,777,617,564,269,387,933,
366,895,279,268,580,193,137,916,705,783,656,888,260,579,303,687,522,224,466,
858,562,749,720,257,955,270,057,219,049,222,374,873,789,556,474,269,672,144,
331,487,946,563,443,593,950,066,992,940,603,071,869,436,742,573,310,482,719,
710,435,614,273,196,261,236,449,346,311,449,499,207,063,948,610,952,720,950,
619,534,206,336,900,207,831,991,021,593,777,664,826,755,336,731,174,220,795,
639,277,038,683,353,836,332,168,864,673,941,008,458,659,236,353,332,053,083,
020,278,872,503,952,903,888,011,024,620,134,483,643,082,595,102,797,795,469,
853,403,739,221,004,450,028,794,936,203,975,764,863,365,843,845,218,121,894,
744,958,067,731,601,702,072,977,804,574,255,309,905,122,202,214,108,310,160,
799,938,133,645,429,922,854,643,060,043,312,597,208,520,180,394,532,667,447,
654,000,473,174,537,102,868,576,695,449,399,211,321,920,916,528,617,383,480,
925,591,580,622,328,135,590,458,812,149,678,567,130,453,488,909,074,943,577,
335,015,796,348,873,054,547,926,831,108,989,107,953,485,308,367,602,923,457,
399,352,976,851,508,156,890,165,295,129,455,984,155,124,763,924,139,908,266,
447,412,140,651,581,792,028,213,483,677,564,660,222,129,211,774,754,395,456,
492,942,615,404,793,448,184,003,163,887,367,755,609,710,387,112,777,666,276,
974,580,566,524,854,118,351,168,977,361,703,369,417,871,833,270,815,961,498,
813,054,366,425,384,785,922,387,316,530,987,200,049,137,664,635,509,593,234,
254,033,732,246,938,208,708,384,802,529,421,100,087,498,375,546,766,912,804,
397,641,474,965,776,511,802,831,244,457,303,235,954,090,612,795,181,735,072,
846,614,628,779,521,410,145,929,001,299,528,512,150,424,467,474,710,683,872,
080,843,838,431,580,995,779,031,469,544,709,546,277,262,018,651,651,395,172,
149,464,961,540,139,091,606,859,026,382,888,435,328,503,160,141,695,976,929,
917,349,784,910,401,233,571,191,142,050,290,591,750,190,610,603,942,997,038,
519,593,709,046,129,417,983,293,714,891,531,213,844,950,524,090,842,750,230,
160,426,309,381,194,223,762,911,903,441,240,952,009,360,466,248,697,709,671,
738,533,785,438,746,960,758,344,641,837,928,028,429,809,037,323,186,350,333,
665,698,925,536,740,941,184,049,346,191,851,828,517,093,519,800,193,591,138,
589,854,833,587,873,600,272,552,210,849,783,166,986,165,015,382,636,627,817,
192,153,281,864,991,379,785,440,998,864,621,048,501,314,505,242,981,674,943,
548,559,938,035,956,807,301,474,667,421,190,375,260,125,566,039,616,708,000,
338,751,369,343,880,723,620,580,175,371,024,129,005,855,973,694,611,792,313,
568,798,913,593,301,558,683,876,601,120,541,224,698,013,529,942,445,301,682,
100,021,302,054,664,651,359,355,742,583,203,446,032,429,216,392,814,598,543,
489,514,680,924,572,406,896,811,667,646,132,062,270,431,861,860,317,749,938,
165,475,942,669,012,126,397,551,715,791,524,392,824,626,098,281,032,940,986,
244,676,681,070,126,336,411,499,074,887,398,218,713,113,921,054,228,111,666,
814,780,427,127,888,008,785,179,570,872,639,212,821,126,423,773,686,219,577,
184,090,752,218,319,511,683,739,733,630,727,158,902,263,577,999,490,317,062,
698,307,213,282,191,040,422,929,938,132,208,584,341,763,380,711,287,017,052,
915,922,442,075,418,031,341,623,713,491,093,108,090,248,343,270,572,743,902,
677,345,205,670,650,903,162,515,161,673,093,856,898,458,028,185,621,770,007,
011,811,905,877,037,803,034,820,853,247,638,316,642,304,456,714,265,151,385,
117,630,510,581,047,910,523,728,648,056,099,215,568,309,793,880,523,743,647,
837,688,138,542,043,491,223,616,327,715,090,770,845,909,643,991,452,674,897,
918,112,655,796,068,055,175,372,033,753,869,449,949,280,448,489,923,931,301,
372,906,211,539,640,512,484,981,396,985,877,690,587,197,042,823,740,837,614,
595,001,802,330,559,944,724,335,540,083,084,972,165,044,402,658,231,410,712,
928,486,512,160,295,008,313,227,859,548,337,648,540,748,834,861,016,370,921,
752,837,076,948,007,999,616,246,104,259,493,723,796,120,954,616,672,905,647,
529,145,744,976,159,008,997,370,194,568,778,000,027,528,221,753,002,241,305,
886,621,702,134,534,267,072,043,528,263,852,168,621,016,537,031,732,100,516,
385,960,445,476,870,400,971,893,224,747,721,961,057,439,553,409,692,166,220,
867,923,412,170,172,118,855,796,661,481,869,292,708,074,717,199,848,167,609,
955,994,345,069,647,724,699,839,875,857,624,785,994,766,623,032,541,669,951,
213,386,137,694,577,859,145,681,727,332,371,357,853,990,465,875,790,733,550,
043,928,021,731,431,911,734,024,531,325,243,047,702,788,693,004,460,354,162,
133,104,614,243,539,446,640,634,794,713,714,046,480,798,857,452,836,239,732,
357,841,823,109,881,044,033,146,529,649,198,944,357,482,519,855,463,068,062,
285,779,699,935,475,160,580,360,807,485,977,710,711,334,591,275,096,533,677,
724,429,740,177,543,250,944,343,615,122,441,746,515,485,704,480,370,487,234,
225,942,585,698,569,891,648,098,277,277,782,319,451,626,295,428,295,341,258,
541,560,343,800,593,740,033,519,031,660,486,706,619,209,826,947,479,574,180,
829,064,551,733,901,361,547,964,026,329,289,560,165,607,775,388,438,031,791,
675,479,362,894,040,417,295,819,405,118,939,620,161,545,364,771,692,970,571,
033,066,437,866,437,346,016,453,494,259,118,062,099,235,261,710,587,869,123,
879,702,973,599,493,992,385,053,721,104,995,643,559,032,456,668,587,185,642,
845,173,408,537,856,791,305,105,242,799,863,552,374,154,129,910,569,386,600,
825,359,125,790,618,854,012,178,505,870,477,711,482,124,462,563,737,463,759,
159,892,787,301,754,172,801,450,370,681,367,095,818,899,198,394,739,581,337,
909,885,796,830,084,294,576,344,754,266,000,590,631,193,854,318,771,373,184,
614,355,761,861,888,178,722,220,464,354,103,922,037,853,944,648,174,719,078,
028,624,778,681,800,469,071,188,205,928,435,297,850,671,110,173,990,624,004,
463,071,319,247,391,317,310,928,513,987,398,581,083,123,738,943,432,517,224,
091,768,644,882,376,571,395,895,502,198,861,240,655,165,906,166,958,681,851,
868,884,839,195,224,742,196,461,029,479,529,094,910,351,082,063,599,587,629,
131,927,024,110,676,976,549,488,627,365,766,473,988,861,859,349,875,525,425,
648,485,477,266,212,530,109,414,974,429,333,970,543,695,536,974,675,400,050,
259,181,852,905,921,305,524,539,280,911,199,666,259,403,095,825,111,184,681,
206,517,622,935,744,783,478,579,966,121,866,839,005,146,915,420,867,580,487,
292,652,209,364,323,591,584,392,253,396,351,338,519,832,058,218,345,220,490,
387,798,576,141,049,424,235,911,322,354,604,964,463,577,419,003,716,859,252,
958,881,597,570,652,987,723,549,562,505,601,438,944,905,947,646,220,101,445,
961,040,159,984,645,112,534,652,336,223,039,216,345,100,774,836,056,577,966,
238,483,367,840,030,997,457,919,443,601,450,333,440,446,388,804,119,144,441,
737,351,118,143,068,141,536,457,756,304,441,294,415,758,458,221,300,110,727,
675,088,514,469,115,559,636,098,069,862,748,948,432,591,745,749,492,019,453,
349,978,026,206,734,113,827,894,944,359,643,073,097,868,924,943,685,153,172,
582,666,131,040,941,155,733,766,355,183,615,932,376,249,454,892,190,973,008,
610,276,170,871,763,312,599,743,851,605,174,583,505,128,933,092,961,319,650,
649,155,273,013,827,370,971,408,839,548,579,130,855,273,352,389,537,777,176,
779,794,853,717,023,855,566,525,431,260,131,412,589,991,719,140,320,910,977,
728,185,363,831,923,609,240,227,185,400,897,487,922,273,104,167,732,924,474,
693,170,816,171,697,763,773,836,762,984,541,646,038,184,305,712,709,236,827,
222,285,635,598,074,092,984,197,019,785,157,903,905,488,301,493,247,332,315,
630,941,459,581,712,502,773,896,924,531,827,406,224,973,648,102,959,061,296,
263,366,881,483,489,282,000,402,744,341,535,814,676,562,133,951,591,303,885,
308,489,187,086,303,432,183,034,371,357,191,031,699,425,225,731,000,143,973,
726,272,136,169,795,723,724,782,294,076,560,886,702,001,763,024,654,733,388,
044,488,526,027,369,788,949,385,009,157,947,610,857,512,130,373,268,282,669,
390,388,513,471,569,341,615,992,776,724,761,732,563,888,098,272,763,974,487,
260,360,727,521,387,179,019,568,128,360,000,407,288,254,187,253,447,109,361,
569,379,351,204,635,218,280,533,983,378,320,456,014,286,006,639,229,358,332,
452,421,219,200,035,186,007,737,492,075,444,191,324,993,176,213,166,864,467,
641,004,289,093,509,753,828,276,928,068,986,411,318,649,482,482,196,550,826,
030,534,421,899,811,811,027,944,662,991,134,344,423,552,933,312,844,032,202,
729,386,837,319,125,344,080,785,328,696,704,761,206,777,595,066,193,126,075,
929,374,470,567,230,281,614,951,907,831,120,735,404,771,788,153,102,919,011,
253,859,502,897,687,061,443,318,617,061,559,068,713,057,934,631,177,825,343,
742,996,357,894,875,112,911,930,579,283,245,766,044,492,674,199,755,242,020,
027,319,576,177,350,134,487,335,202,376,743,563,215,608,177,170,625,865,707,
378,753,906,240,122,121,343,119,126,602,450,318,543,850,746,357,723,762,111,
267,301,078,945,474,097,288,221,772,792,736,781,587,914,673,800,631,947,046,
205,039,758,339,358,682,931,206,264,037,126,992,035,356,701,768,201,650,290,
471,863,182,161,211,295,107,079,507,992,352,745,563,021,527,553,888,596,799,
270,799,355,572,288,061,274,756,172,767,321,099,560,695,815,313,597,214,226,
907,261,946,756,716,505,923,605,909,311,851,367,335,331,893,552,701,556,779,
458,040,591,266,207,566,469,950,838,490,327,025,929,695,135,152,824,464,221,
180,810,953,508,527,334,599,170,993,863,335,084,844,690,364,760,312,416,318,
132,707,240,966,320,402,454,885,468,620,563,974,519,318,216,467,790,420,091,
000,045,902,125,598,025,317,031,948,001,528,499,590,733,316,647,310,520,840,
148,853,361,769,765,008,382,654,201,238,411,161,276,620,144,410,853,819,719,
300,897,997,186,656,267,403,824,420,444,313,598,538,152,450,982,161,166,674,
521,870,346,016,379,462,884,289,893,395,995,423,405,782,768,812,093,018,973,
127,630,969,931,471,966,994,160,014,242,643,963,898,722,420,000,711,741,137,
898,859,793,957,793,219,637,533,882,797,702,309,274,759,965,878,615,509,209,
305,744,371,040,125,349,283,566,775,191,522,063,332,522,650,876,946,251,285,
957,421,752,516,124,502,627,233,689,205,492,990,681,435,006,881,817,332,062,
683,624,833,076,536,442,421,175,715,440,437,160,347,340,554,002,469,482,693,
613,774,386,220,602,619,674,415,570,568,162,144,162,582,062,897,827,806,598,
533,655,555,075,218,702,232,335,565,523,752,160,764,822,194,785,800,143,778,
862,908,851,522,745,309,047,006,552,222,925,792,232,287,335,260,973,903,547,
567,838,857,373,850,039,672,902,140,645,452,870,976,269,679,334,288,243,750,
075,225,315,274,750,008,801,705,817,002,436,634,615,824,791,922,470,489,284,
973,471,608,846,102,245,288,148,493,300,338,259,734,221,125,639,542,772,921,
279,163,938,100,417,566,100,111,563,516,483,115,309,043,002,241,153,366,187,
699,724,429,686,040,218,600,279,961,786,336,489,758,547,036,306,605,977,413,
181,052,270,675,624,102,462,699,777,241,548,794,282,798,891,640,194,029,560,
389,759,358,292,621,923,985,249,074,268,906,657,454,239,781,211,937,529,454,
569,890,097,321,816,663,442,492,690,934,056,877,060,925,387,465,055,278,259,
726,138,849,948,876,772,443,401,150,743,691,086,761,960,999,358,599,238,941,
614,225,618,038,078,503,025,317,484,623,421,493,604,885,141,180,261,788,019,
100,865,816,662,887,266,008,311,086,518,803,798,011,235,460,290,073,796,561,
376,289,923,391,048,933,804,311,423,013,542,150,208,683,394,437,428,015,369,
598,818,532,606,925,972,496,804,807,412,268,801,343,995,671,360,039,192,090,
725,880,504,442,401,178,703,661,569,372,418,932,487,902,500,296,712,163,887,
089,562,214,419,103,607,077,660,212,624,601,592,664,027,143,604,168,617,198,
035,145,143,266,998,936,104,114,102,074,081,476,041,098,725,334,589,243,652,
979,948,094,978,799,002,872,788,898,824,738,445,202,762,890,675,094,566,254,
882,248,463,702,162,718,038,958,943,998,442,861,346,361,316,480,965,827,238,
962,227,388,804,161,469,169,409,693,862,066,715,224,448,975,558,627,211,035,
042,637,521,572,905,765,092,967,694,585,554,821,302,928,906,991,815,529,911,
018,207,647,677,806,652,300,391,657,900,038,856,625,815,474,980,012,222,694,
032,605,315,060,428,278,262,306,723,881,252,424,412,809,272,006,349,521,552,
924,423,008,519,000,290,664,639,714,332,645,057,732,100,745,602,448,297,880,
346,223,730,672,005,318,679,793,119,175,232,095,101,874,940,122,311,873,362,
584,275,843,367,761,955,512,569,679,965,056,958,657,807,127,396,416,044,797,
241,181,396,492,833,318,370,121,952,781,763,586,058,172,680,312,966,571,220,
494,839,263,281,733,395,152,213,823,249,408,518,603,888,732,599,379,857,150,
734,431,352,601,781,198,184,124,093,505,795,468,960,671,185,424,250,577,137,
750,323,798,739,552,469,696,352,165,169,037,046,856,401,247,397,495,822,339,
034,065,410,125,305,435,231,899,353,698,883,734,997,830,332,620,139,980,924,
741,771,419,089,272,856,120,026,891,748,941,586,773,017,972,883,472,275,829,
303,708,716,705,547,481,894,351,989,257,257,560,964,942,892,672,132,252,713,
309,647,008,234,146,987,234,207,136,273,545,852,205,332,926,062,438,193,001,
513,257,893,811,780,643,175,845,591,880,473,054,252,427,551,864,382,190,872,
181,331,628,514,909,168,159,216,736,009,877,128,523,725,892,655,471,559,739,
908,100,251,030,027,657,350,934,277,926,362,613,580,371,512,051,473,650,116,
991,520,599,549,043,664,714,080,023,520,107,867,340,405,851,304,370,353,368,
153,181,734,365,369,440,339,947,756,251,132,131,215,395,503,530,698,240,610,
890,637,608,042,442,006,398,494,618,561,675,972,220,670,737,956,925,813,882,
683,269,907,598,394,632,846,070,216,023,953,070,980,774,181,433,543,923,907,
437,534,032,006,181,657,655,989,894,211,461,628,403,462,604,408,014,206,149,
479,873,663,070,045,454,343,448,446,068,932,524,800,973,046,156,121,811,829,
691,897,174,124,007,328,225,487,321,850,936,905,037,018,509,601,656,178,455,
273,863,309,112,669,031,908,162,005,248,837,984,565,089,766,423,462,131,322,
776,961,263,675,387,983,217,203,804,021,856,676,041,610,196,020,244,852,578,
540,706,456,022,665,315,145,597,722,686,954,865,157,025,706,328,847,627,909,
232,365,508,169,695,350,122,055,441,593,952,441,817,139,811,951,651,289,837,
023,404,849,523,865,138,384,793,602,685,888,582,186,929,585,927,044,207,282,
332,571,787,778,778,654,570,405,980,796,028,036,919,028,417,001,730,145,056,
505,781,276,284,098,853,288,220,751,109,859,893,605,558,853,198,766,660,170,
045,240,877,733,835,359,479,122,842,040,370,629,439,336,730,008,536,656,454,
735,806,770,761,101,327,106,119,150,708,309,210,936,894,339,546,922,761,050,
746,327,291,630,397,106,958,141,103,246,203,464,043,121,822,300,586,547,603,
705,419,657,902,967,608,267,447,825,848,492,310,869,516,969,211,292,855,053,
325,953,228,945,138,071,465,343,304,896,812,113,285,686,242,791,974,194,712,
645,771,086,319,741,753,454,968,905,510,505,434,514,346,814,838,379,731,321,
590,748,288,148,054,031,554,893,658,451,183,632,299,870,156,870,960,576,288,
242,974,199,648,743,217,635,366,199,460,061,176,641,289,907,701,584,811,171,
876,726,663,494,519,844,380,833,190,966,133,462,049,910,167,599,579,033,488,
171,888,783,248,481,564,555,892,577,795,544,430,371,140,411,294,265,499,596,
360,365,805,077,824,610,721,556,021,713,772,896,242,356,159,878,136,412,895,
240,050,968,099,409,013,002,619,548,163,850,877,952,916,852,487,567,675,494,
208,716,633,875,014,887,630,842,450,683,839,163,197,289,287,793,065,227,735,
451,842,198,445,415,074,780,519,631,366,601,692,493,499,798,523,512,690,119,
057,535,080,155,174,660,331,494,244,161,770,822,187,470,423,754,867,210,172,
091,900,401,952,748,367,186,252,716,999,633,153,765,002,805,584,021,670,408,
471,150,376,309,349,843,478,865,099,758,324,421,149,113,739,661,777,021,477,
205,656,379,852,879,917,706,682,294,955,281,583,977,775,337,799,979,377,453,
601,220,041,804,251,727,297,288,762,273,502,472,239,257,479,971,326,586,948,
689,760,151,154,863,252,852,876,836,102,095,572,491,745,961,541,934,699,449,
157,724,341,015,607,221,627,831,616,007,079,681,235,131,814,848,137,288,485,
102,313,500,792,095,581,191,622,552,370,140,372,014,325,394,047,618,116,344,
885,642,863,158,631,501,833,509,398,050,229,551,872,197,780,630,914,999,599,
889,449,991,140,422,319,499,058,293,624,558,566,653,026,099,662,737,520,896,
485,831,977,642,086,201,562,237,316,935,676,657,953,047,084,730,216,554,785,
923,363,217,643,089,782,330,014,118,350,698,114,965,651,722,279,282,987,313,
309,695,857,865,214,202,580,206,772,959,016,508,615,927,243,394,443,420,494,
405,720,269,133,737,031,050,390,232,226,234,959,367,022,560,062,245,206,250,
273,209,043,324,341,527,226,602,501,572,485,264,078,790,673,887,768,292,028,
167,632,723,585,778,721,033,877,605,117,932,758,486,471,972,221,685,345,082,
198,811,488,841,857,528,017,511,852,091,167,624,597,086,022,469,677,529,336,
944,970,431,679,095,553,462,794,656,063,189,478,860,585,098,153,456,697,794,
466,650,651,892,205,063,716,462,028,707,469,419,011,328,523,178,017,282,954,
711,332,862,435,949,205,363,655,255,920,803,743,766,238,529,270,710,729,434,
214,564,069,349,218,383,095,514,368,624,339,630,987,062,888,130,404,709,770,
806,676,201,631,920,457,313,344,475,168,022,788,339,005,121,566,112,163,153,
813,923,590,871,382,358,060,553,074,698,151,476,709,013,019,314,169,290,369,
041,395,069,658,589,032,335,289,844,887,087,892,998,999,960,332,050,021,034,
325,080,495,501,169,397,787,544,804,031,715,155,013,699,947,830,910,173,037,
503,401,280,137,488,451,210,344,685,165,657,261,442,584,762,213,662,078,976,
610,616,884,588,966,391,875,916,698,665,083,436,169,497,884,278,694,800,664,
584,147,737,841,167,030,351,632,334,508,367,734,757,478,051,209,850,018,966,
407,676,255,303,725,311,704,732,703,466,942,103,967,800,473,983,776,250,334,
926,229,693,646,327,091,438,527,434,328,450,969,146,707,950,371,931,242,139,
895,695,828,519,155,427,718,463,215,871,541,968,759,376,453,371,717,139,601,
700,489,080,210,111,672,520,904,559,167,435,147,235,489,412,116,910,121,442,
500,931,462,580,420,868,363,920,927,304,744,807,809,710,916,806,197,770,938,
749,480,598,713,437,640,199,029,734,227,417,870,784,938,054,621,616,912,296,
690,853,582,992,164,793,502,352,339,317,341,053,648,532,696,400,089,932,678,
195,449,667,491,340,174,942,709,190,762,701,442,436,516,177,483,282,302,439,
177,260,819,070,973,854,331,419,303,197,314,666,671,517,611,418,058,110,788,
100,447,285,843,641,612,039,246,069,484,188,160,330,285,400,302,676,316,316,
724,667,658,016,149,428,136,649,579,038,146,304,004,059,912,356,735,928,043,
433,024,483,470,062,674,230,990,269,758,021,377,851,017,524,889,028,384,356,
709,447,771,893,863,290,160,003,086,259,203,955,849,321,926,428,624,235,676,
838,916,654,083,204,887,667,624,940,208,983,494,585,811,820,221,389,739,454,
367,440,274,644,533,133,219,277,191,811,435,853,453,890,280,288,119,418,589,
013,017,228,583,975,669,591,812,505,658,082,181,051,979,982,481,149,528,995,
482,152,287,651,305,563,288,110,755,868,154,154,719,631,492,807,284,810,758,
179,004,324,561,707,815,600,880,770,560,426,996,545,841,022,015,720,474,115,
891,990,983,395,888,938,415,319,266,564,087,620,071,000,143,372,595,578,920,
792,777,373,836,803,692,529,502,555,627,783,323,431,352,678,653,651,894,699,
443,815,741,701,306,044,995,313,294,486,394,526,078,936,848,652,707,967,457,
505,804,539,052,499,748,056,835,367,241,217,669,733,738,660,651,199,980,177,
863,537,423,398,458,477,200,769,427,071,415,071,517,940,191,879,223,382,844,
105,907,570,121,562,421,108,166,927,642,008,300,892,190,698,313,673,039,428,
746,610,314,738,865,578,672,531,231,759,961,666,645,624,791,640,548,787,649,
549,163,797,843,130,291,831,995,093,307,713,476,302,699,199,205,425,025,036,
966,777,379,449,959,413,076,655,904,343,805,850,234,544,801,955,695,552,021,
007,181,255,975,210,740,020,557,136,973,705,739,861,097,965,334,697,402,128,
762,408,235,726,414,383,757,671,116,598,637,599,686,498,645,658,826,229,395,
947,561,696,376,985,298,232,300,750,078,747,881,420,102,482,464,695,100,197,
579,841,281,671,896,594,968,511,348,084,351,396,386,953,268,764,185,543,255,
751,029,984,952,367,853,664,394,633,679,843,578,802,507,504,232,655,870,858,
450,505,095,593,714,442,853,553,576,093,418,482,097,574,424,944,869,376,018,
380,893,780,272,181,609,332,417,902,699,012,100,986,526,759,283,564,789,567,
149,058,180,560,713,657,788,686,443,933,990,385,476,325,320,898,013,714,296,
624,400,101,593,351,745,332,041,558,017,034,010,890,181,879,510,936,740,675,
996,708,459,539,803,703,649,068,080,689,649,674,139,170,378,348,352,924,295,
258,377,234,979,507,784,731,208,022,946,857,433,945,142,869,758,520,781,229,
275,528,492,134,805,231,600,951,662,423,816,709,696,694,080,311,380,618,645,
685,376,324,288,906,670,367,503,228,606,518,219,833,858,244,852,651,881,880,
297,302,226,749,942,318,745,992,649,634,804,556,072,794,098,903,107,172,261,
006,361,190,154,072,479,098,238,132,667,642,493,714,379,568,800,388,862,506,
714,288,152,227,891,876,973,296,348,903,565,177,179,924,603,006,851,539,115,
549,614,966,772,628,417,750,479,255,792,047,507,354,898,434,935,413,971,075,
229,216,495,020,688,352,225,580,883,914,539,768,620,807,980,276,899,516,921,
603,033,970,451,475,554,569,777,844,760,633,957,819,714,468,126,772,378,352,
651,866,020,204,227,391,329,817,735,009,405,565,416,012,550,897,391,968,589,
933,138,499,367,607,893,602,010,056,055,857,781,242,095,422,290,052,243,104,
664,812,541,909,963,811,594,911,877,776,337,687,811,383,900,327,766,651,078,
068,558,456,841,671,281,498,752,441,067,515,601,373,778,699,120,993,633,598,
051,904,152,178,688,191,069,162,154,443,036,052,611,281,372,190,542,849,158,
623,175,650,359,701,637,142,097,899,220,133,127,537,345,585,673,214,282,272,
462,918,069,097,128,894,110,105,949,457,564,660,183,965,891,917,898,046,181,
379,645,346,239,547,753,253,395,646,632,536,738,312,560,428,315,557,200,181,
044,675,753,418,808,376,312,040,870,492,657,328,698,081,347,480,108,019,175,
599,073,293,706,783,549,475,723,062,443,367,083,264,562,207,086,179,802,600,
158,027,192,760,985,018,617,654,344,119,742,444,158,548,930,353,790,775,981,
764,285,620,397,108,284,188,327,433,748,456,443,693,421,058,637,154,432,834,
238,999,396,120,230,187,745,588,715,097,870,947,670,940,337,052,670,592,025,
357,745,227,385,103,298,537,681,798,317,017,823,694,690,143,725,977,604,832,
554,102,435,176,055,974,568,791,307,406,153,719,838,183,107,285,833,673,828,
944,644,478,713,781,448,122,891,744,229,067,166,079,233,343,699,484,994,753,
348,565,844,598,376,778,949,934,941,505,582,476,276,118,747,289,743,973,137,
395,875,024,235,562,948,847,527,895,265,938,203,030,961,455,461,549,374,486,
380,428,728,173,130,940,395,754,263,820,036,949,098,724,207,944,397,446,703,
623,451,822,301,190,126,253,240,787,953,892,563,939,009,974,468,205,101,053,
200,087,381,163,252,323,387,934,163,278,753,930,549,745,166,435,549,930,836,
697,212,041,787,368,222,843,216,496,854,462,658,222,202,386,054,720,515,691,
541,542,474,061,648,366,951,478,765,873,168,686,105,499,373,096,880,024,163,
178,535,152,090,003,954,495,415,700,000,705,726,791,918,256,790,203,542,164,
933,954,318,433,271,220,587,818,723,203,497,694,169,600,612,751,943,271,829,
600,358,747,749,389,247,248,220,978,298,660,654,050,333,608,671,462,022,942,
816,923,814,152,295,629,601,944,339,594,960,157,496,400,734,047,215,820,093,
166,456,157,183,942,361,044,311,726,015,714,705,460,810,701,471,010,974,693,
640,385,975,765,497,664,842,256,645,542,914,412,860,690,552,314,489,985,014,
417,690,428,123,415,659,113,803,366,114,688,681,802,598,374,249,578,764,857,
177,381,742,752,693,527,183,617,431,029,241,152,220,940,292,399,775,866,400,
238,977,141,615,192,501,091,214,066,837,244,565,070,866,862,669,531,059,899,
958,047,852,008,285,672,712,409,710,890,249,613,349,165,851,243,737,865,117,
929,928,901,073,770,573,024,830,830,679,583,286,191,627,322,125,625,929,463,
959,406,698,952,800,448,256,303,885,209,127,592,299,357,173,362,053,523,998,
778,333,951,598,062,521,363,714,642,016,718,413,159,125,865,752,240,062,301,
139,460,585,330,129,984,053,169,807,317,961,154,830,547,388,084,553,797,382,
436,335,060,277,360,326,783,375,730,010,963,458,500,053,706,556,066,847,025,
892,008,602,554,035,776,204,096,987,390,227,317,053,687,458,999,292,860,859,
851,894,600,202,917,694,332,943,591,983,525,983,466,142,529,376,026,061,404,
243,741,462,278,420,378,937,083,161,739,358,996,644,532,462,225,852,752,558,
825,580,706,978,908,196,699,783,510,843,598,352,641,483,188,112,027,366,460,
784,536,516,686,791,822,541,561,727,565,588,238,989,105,717,246,390,801,149,
995,080,512,923,566,692,099,194,911,222,878,528,273,950,940,310,165,113,970,
599,496,599,239,250,569,479,732,830,738,792,374,510,946,190,352,590,934,367,
169,008,016,593,074,042,779,289,188,644,042,440,453,695,691,117,444,385,738,
584,638,735,874,782,435,178,843,712,669,364,002,503,267,122,307,835,953,247,
324,398,234,117,469,276,289,744,158,699,756,476,267,475,190,275,361,836,703,
779,021,198,211,330,143,754,547,279,693,693,391,952,202,675,164,477,731,790,
068,298,629,556,236,262,994,174,893,871,553,199,758,812,968,128,607,753,334,
130,566,523,060,374,400,621,191,310,037,847,062,955,613,306,737,558,035,171,
630,767,395,302,929,024,288,702,380,965,062,444,110,375,504,098,501,988,888,
827,471,178,103,608,484,415,821,910,251,173,827,598,019,693,017,683,001,821,
703,394,690,416,509,175,591,763,032,906,434,520,458,123,379,025,337,676,056,
741,169,841,437,231,642,575,436,313,539,698,419,247,350,087,826,373,621,995,
946,610,570,848,418,786,173,302,767,181,007,441,628,733,032,538,023,474,663,
472,245,016,967,299,185,534,600,191,910,436,767,034,824,486,919,173,697,384,
023,558,941,171,161,277,182,085,565,622,134,315,465,647,763,492,069,950,300,
154,175,987,433,158,907,431,806,127,604,021,561,410,780,152,330,432,085,391,
990,108,645,426,183,317,296,961,938,726,925,562,984,421,452,558,509,395,034,
600,296,274,268,849,374,323,948,211,100,516,917,289,138,011,241,303,352,308,
410,612,537,570,661,351,135,018,288,795,463,601,318,517,167,878,981,590,115,
641,807,345,761,128,391,480,829,220,032,479,737,508,442,770,201,390,260,090,
070,213,775,545,257,179,103,244,619,756,062,817,661,595,368,090,115,346,806,
901,176,872,174,727,496,831,673,606,412,499,185,167,637,033,622,934,240,177,
131,546,879,403,913,814,450,971,135,581,033,340,280,832,580,081,742,464,048,
144,136,079,548,235,741,008,854,447,359,099,633,046,601,634,210,562,633,580,
166,564,572,909,484,947,610,044,089,770,519,756,395,397,805,956,220,582,663,
495,933,112,198,493,237,973,827,460,975,472,010,292,456,654,481,058,795,902,
260,533,223,036,083,186,830,337,759,251,652,945,465,350,164,476,124,231,617,
587,854,071,553,841,056,581,031,206,675,325,214,248,706,592,698,600,463,925,
516,644,629,020,374,459,457,305,341,873,255,450,974,040,786,643,017,917,548,
926,208,134,907,743,768,712,831,230,891,243,118,507,882,217,335,755,786,481,
219,676,738,088,230,782,967,108,647,270,843,862,585,885,994,120,313,777,824,
581,252,450,252,911,382,315,188,790,441,673,904,852,299,699,502,715,665,994,
979,589,174,215,015,428,866,356,112,026,954,612,574,264,627,674,545,856,322,
614,186,966,424,503,821,875,184,096,305,073,007,136,126,516,838,173,838,636,
136,999,985,540,477,816,481,679,788,536,506,722,137,761,249,671,610,455,970,
658,839,731,225,085,386,631,855,067,104,829,872,335,355,188,803,685,281,350,
666,786,766,234,527,757,050,587,563,840,856,668,974,599,023,819,909,491,929,
587,695,857,252,369,326,603,742,830,141,247,260,351,173,878,386,312,569,213,
446,687,731,839,235,646,191,382,564,876,312,715,571,051,095,157,657,684,035,
328,635,186,285,073,884,175,912,854,325,628,740,614,646,927,911,222,823,905,
289,990,637,952,899,609,190,366,944,471,676,496,387,113,304,157,106,771,970,
981,587,754,285,655,209,954,560,291,662,836,060,643,288,496,108,892,944,172,
009,025,332,043,955,975,973,150,217,752,472,792,841,228,303,774,414,715,722,
270,248,882,627,678,924,584,475,268,751,162,217,381,024,408,227,369,528,096,
545,445,949,433,348,807,666,463,486,651,395,806,204,359,246,068,358,419,652,
382,434,310,945,854,154,790,722,451,453,644,121,844,003,916,976,647,633,496,
654,690,429,158,843,827,452,371,260,228,096,804,716,776,994,968,467,273,929,
556,609,028,778,771,935,466,411,124,765,190,989,541,731,753,045,259,368,987,
972,414,231,341,773,798,316,083,588,021,512,680,592,370,153,212,172,380,490,
483,762,830,588,601,889,399,791,533,824,780,416,688,148,512,537,550,536,298,
377,122,310,344,024,895,167,451,439,755,691,621,704,187,439,980,749,072,281,
547,319,535,172,222,641,064,588,237,021,485,742,449,420,863,653,251,032,019,
451,012,373,067,848,306,894,571,781,784,956,765,775,835,777,759,025,852,371,
599,696,209,021,586,146,657,448,090,559,985,982,636,030,557,106,125,198,985,
608,555,163,172,394,698,309,533,183,734,943,484,588,636,276,129,934,765,209,
494,119,224,700,161,298,230,897,367,778,142,192,459,571,607,845,246,475,975,
085,514,458,479,619,635,793,630,386,220,542,705,924,424,516,691,846,742,743,
966,421,213,401,414,680,778,750,974,641,698,940,618,095,872,297,429,795,355,
686,872,356,919,634,910,392,434,697,795,139,600,189,094,540,409,715,525,712,
299,792,319,410,208,593,933,976,686,559,501,259,484,239,426,762,331,075,137,
147,347,449,824,906,179,757,502,178,100,387,390,209,215,691,107,491,864,174,
815,035,563,610,902,244,429,401,144,093,007,658,678,328,993,148,655,182,937,
266,776,727,008,490,011,642,522,096,858,680,804,928,148,700,184,399,094,431,
236,437,248,044,211,824,916,792,207,868,097,184,952,100,314,154,127,374,763,
768,512,485,314,591,669,585,751,938,314,841,720,352,881,745,848,524,780,475,
771,691,519,013,116,978,097,284,834,583,376,457,944,426,115,599,820,891,108,
041,527,085,067,845,698,208,214,657,002,705,358,917,349,300,933,690,781,967,
240,033,551,454,605,012,729,467,261,291,079,891,168,692,687,080,299,313,518,
386,831,112,195,206,728,115,649,021,601,290,170,729,647,073,735,556,120,099,
816,568,764,047,114,164,879,867,402,403,719,052,896,110,745,973,213,302,549,
535,720,220,941,952,359,085,870,062,161,945,406,598,250,102,181,802,479,285,
485,599,092,126,799,551,801,192,202,066,204,120,487,555,346,865,940,412,025,
483,720,276,755,541,743,083,513,020,890,174,696,481,380,323,786,189,263,765,
159,296,541,254,565,023,619,198,133,979,262,527,559,657,750,484,771,858,971,
573,482,860,536,679,577,657,895,219,857,938,830,900,226,137,023,461,517,927,
090,693,100,098,306,773,928,216,042,396,189,189,838,843,881,907,949,324,331,
908,674,260,033,325,994,036,327,184,754,707,723,582,388,788,234,945,251,286,
851,196,904,942,397,655,661,414,156,880,322,788,196,251,141,820,146,261,987,
266,439,179,642,860,468,158,108,800,053,458,663,675,102,179,346,086,722,267,
585,464,711,039,313,102,907,309,279,522,329,056,899,394,879,672,577,946,940,
043,621,930,635,464,135,548,853,237,604,200,523,982,531,670,902,937,496,335,
660,185,044,441,915,964,602,022,336,737,508,979,470,413,736,933,109,987,046,
756,347,128,126,559,823,309,159,494,534,521,101,942,468,472,308,992,094,598,
310,345,743,924,679,273,729,596,047,435,108,228,550,995,319,876,205,991,034,
824,554,591,258,928,132,429,627,080,297,283,600,577,925,728,924,769,250,222,
188,263,722,486,693,667,793,295,651,767,049,847,228,685,473,766,646,196,152,
609,460,722,335,380,592,172,837,974,572,456,896,172,055,923,950,549,612,160,
804,264,729,257,279,251,230,271,402,456,677,058,768,074,482,104,704,205,291,
449,785,268,811,295,539,598,778,963,379,249,790,172,478,478,453,852,688,057,
291,922,250,255,814,149,791,917,515,660,490,001,568,577,587,460,592,256,194,
880,036,333,748,487,713,406,679,616,911,022,483,235,051,936,263,140,823,962,
591,903,293,074,072,300,789,995,329,131,673,952,578,303,968,305,681,933,973,
558,746,395,313,603,032,247,145,693,391,200,075,267,553,155,590,864,896,078,
257,410,764,817,006,346,756,926,409,292,742,678,818,085,006,840,400,397,651,
644,144,958,166,556,633,553,160,957,877,679,779,758,171,354,849,498,594,996,
672,410,484,862,006,951,055,871,306,365,358,148,997,500,853,941,357,899,982,
841,102,682,041,040,113,032,054,544,959,737,259,367,074,157,374,401,886,360,
153,686,217,909,722,329,962,743,938,439,567,458,677,504,615,492,245,207,244,
255,113,344,773,044,067,776,299,022,470,890,276,070,306,870,888,065,514,241,
123,612,063,932,543,102,518,919,134,778,695,666,882,105,595,290,858,544,681,
399,684,052,603,127,929,544,813,315,414,596,127,495,537,147,950,284,887,439,
359,081,649,620,096,029,745,142,101,340,287,146,918,948,187,573,939,633,966,
228,499,029,925,623,705,982,447,848,569,667,907,570,134,031,051,936,665,655,
628,794,049,975,210,113,988,641,377,220,207,718,632,932,312,469,857,115,989,
943,933,347,439,154,662,923,453,935,497,307,666,675,439,617,295,503,714,023,
733,143,452,197,228,335,006,105,767,089,411,952,958,071,071,773,444,759,283,
147,542,339,503,061,607,782,111,260,681,769,431,114,727,238,372,639,165,566,
523,401,316,718,868,595,063,971,167,779,386,270,720,615,595,346,599,270,440,
439,991,697,162,078,583,658,151,896,747,811,323,949,091,439,731,929,701,860,
569,962,465,681,953,897,168,713,472,746,829,585,974,365,283,201,995,734,118,
358,718,307,080,808,859,521,317,266,555,565,299,504,545,855,872,020,522,664,
845,723,898,250,506,126,071,351,694,056,984,164,806,156,334,695,532,828,298,
081,780,948,215,888,702,039,940,519,198,162,235,927,140,699,804,013,788,986,
776,728,199,652,049,681,226,384,060,159,344,656,489,175,508,305,022,477,964,
888,133,105,695,464,129,007,019,623,050,284,955,577,833,593,607,634,670,330,
601,759,008,788,196,003,376,617,333,919,816,730,152,369,334,168,060,058,562,
620,259,040,517,113,464,669,955,212,860,602,467,259,966,787,231,192,777,724,
725,114,695,524,521,858,582,460,175,574,430,279,315,577,228,613,443,251,407,
338,029,216,607,239,754,105,728,774,683,148,772,314,390,135,794,389,242,045,
434,946,931,208,293,904,024,540,874,061,402,445,865,944,429,662,024,537,886,
677,875,295,574,750,181,264,461,964,094,434,413,427,166,317,620,733,662,360,
717,402,894,030,499,715,629,649,171,374,158,621,896,403,872,643,863,643,122,
852,487,118,745,152,056,406,328,042,509,223,511,279,719,979,576,982,284,519,
618,375,043,473,971,793,722,784,016,702,408,680,285,569,570,827,956,098,389,
195,248,616,769,389,790,707,601,703,230,177,262,361,192,551,235,746,123,144,
853,683,898,093,524,267,891,694,361,255,822,795,737,547,545,449,301,532,081,
130,081,157,073,964,750,834,397,863,544,527,914,254,659,054,756,127,829,154,
552,176,431,619,033,266,890,620,594,474,563,505,278,058,222,708,198,189,083,
458,508,313,172,210,633,234,027,298,881,616,544,621,729,790,966,120,997,465,
239,390,768,180,679,778,437,542,653,237,665,589,134,632,167,679,913,968,234,
999,142,826,666,888,879,945,887,566,291,642,904,411,008,726,896,774,754,876,
314,826,946,188,097,832,180,628,461,245,416,290,555,038,645,993,618,723,431,
835,872,745,028,833,131,053,315,095,810,706,822,369,464,315,653,715,354,503,
836,046,580,598,387,181,457,812,082,460,583,903,448,767,413,690,338,429,805,
817,000,846,228,366,332,274,546,735,226,763,099,273,031,007,428,383,627,236,
653,397,297,684,916,368,723,187,830,267,946,789,606,690,964,996,339,369,133,
200,153,303,423,498,051,360,631,760,729,183,615,114,082,649,531,093,600,781,
732,970,126,890,142,952,010,297,111,284,317,915,233,390,523,557,668,417,276,
367,583,700,965,300,429,208,119,853,601,120,128,596,231,547,551,858,096,395,
873,293,890,467,805,287,763,850,374,054,309,946,966,700,546,084,494,664,695,
464,650,001,990,680,217,801,849,698,073,856,489,878,501,312,234,720,358,121,
595,639,114,352,665,733,937,490,808,895,053,075,288,677,235,521,342,010,984,
824,875,554,345,091,225,406,369,773,660,260,287,708,424,231,494,232,372,268,
777,027,040,260,170,691,903,606,344,153,575,352,365,200,867,167,507,011,905,
322,165,898,418,950,374,636,030,550,278,186,158,994,766,061,224,786,673,588,
061,103,510,569,740,662,977,582,995,927,073,670,699,476,035,090,604,444,057,
928,289,402,346,025,367,839,921,644,030,396,375,719,707,775,612,475,932,527,
491,956,106,342,940,331,181,476,370,964,717,531,275,088,375,011,136,628,573,
565,898,760,197,653,006,515,224,885,736,903,409,764,951,095,989,447,191,111,
643,198,102,724,917,094,340,295,120,233,826,855,235,894,161,969,502,444,683,
131,684,826,172,614,040,853,462,530,891,766,471,028,136,426,407,886,611,284,
199,101,321,182,717,126,919,999,428,769,657,656,285,925,976,319,840,785,045,
477,136,900,144,347,014,148,512,717,523,263,442,637,080,648,231,124,328,502,
239,395,884,755,430,703,537,088,379,265,269,301,574,203,636,320,117,541,362,
971,024,009,789,488,805,033,081,331,248,292,994,530,317,699,221,647,015,158,
120,194,040,131,650,251,593,313,235,156,342,741,686,895,368,171,842,093,588,
391,627,394,637,747,512,785,872,392,359,171,503,802,832,363,066,513,688,290,
667,740,852,788,985,744,276,684,314,973,179,362,676,145,714,397,443,820,344,
419,770,620,912,664,281,181,597,759,944,631,432,273,194,473,029,123,856,494,
694,875,267,245,327,866,441,878,868,226,544,200,017,690,499,069,572,097,616,
325,651,286,217,130,090,028,188,008,632,058,134,885,243,935,202,216,654,657,
060,409,103,294,380,178,224,824,026,670,264,845,282,407,851,684,520,765,806,
480,434,108,249,710,144,245,771,897,732,661,671,838,706,131,329,529,392,390,
479,360,499,391,330,416,568,542,350,174,352,983,689,391,932,246,333,116,639,
705,028,495,151,404,546,456,654,477,854,228,094,344,444,191,997,201,199,757,
010,954,252,090,531,394,577,259,244,545,906,751,372,077,382,239,699,291,918,
933,480,820,910,300,132,948,510,435,652,593,432,316,945,849,520,751,751,134,
963,620,006,516,150,548,806,953,625,099,934,943,629,354,590,596,067,496,679,
348,396,494,443,901,716,412,581,739,939,331,327,977,549,550,792,620,626,978,
795,642,497,311,290,566,902,655,545,761,541,119,204,431,563,556,589,580,370,
734,042,181,689,150,508,476,464,254,615,814,183,203,699,548,013,058,259,118,
092,160,378,523,766,951,126,970,198,625,451,238,564,850,716,156,265,580,591,
271,151,474,846,837,305,619,255,809,251,498,087,418,099,625,722,798,775,288,
045,951,672,679,007,781,296,961,646,079,912,627,394,555,912,727,656,277,762,
791,632,538,313,088,624,970,890,822,614,525,634,186,317,717,204,608,527,591,
772,712,159,192,775,598,726,671,007,437,482,246,257,722,761,690,660,990,604,
541,376,864,300,032,727,173,304,202,487,977,148,458,365,720,927,428,965,591,
646,343,202,107,456,391,340,974,998,246,174,381,167,384,855,966,419,184,644,
218,906,468,947,226,517,762,760,095,504,811,545,291,474,547,232,191,622,666,
753,027,372,446,101,049,211,319,854,533,732,549,443,344,646,477,103,214,795,
250,066,529,613,314,910,901,856,944,721,315,723,681,095,659,685,592,140,796,
873,858,874,428,119,382,278,062,431,130,959,911,429,040,414,228,266,319,900,
543,844,697,941,782,842,973,268,325,107,149,906,716,569,691,147,433,228,181,
120,438,960,833,623,037,613,544,021,212,799,831,498,567,493,022,095,079,429,
787,929,621,678,630,753,167,065,020,751,553,820,968,800,482,601,046,045,318,
223,110,480,909,788,947,734,061,389,277,287,425,498,145,227,938,176,024,858,
020,614,060,484,465,945,860,932,914,043,623,215,020,285,142,692,656,498,187,
047,567,387,024,098,949,731,195,301,364,800,687,242,667,520,005,290,842,539,
834,774,128,536,289,401,428,961,982,413,773,333,048,615,495,703,871,183,288,
478,413,907,748,204,265,008,867,492,099,683,554,365,036,506,268,600,062,726,
726,701,651,048,229,442,546,937,844,422,675,550,058,943,723,573,073,588,363,
514,130,968,805,737,673,784,305,713,045,284,491,049,951,868,224,121,144,946,
751,587,600,307,312,999,151,224,731,206,990,282,352,294,445,582,130,813,161,
507,961,536,313,179,432,990,057,834,503,103,508,935,036,345,604,309,656,353,
769,173,518,585,575,489,979,555,638,539,868,137,331,462,372,314,625,239,994,
961,747,651,339,805,769,998,059,815,985,184,002,670,047,964,796,468,028,633,
613,158,117,293,840,490,054,660,350,208,657,917,696,261,024,501,917,468,872,
523,897,262,229,968,103,576,646,785,018,483,413,057,631,538,923,083,321,059,
541,091,502,703,332,033,526,303,145,271,856,411,206,931,392,100,826,868,357,
339,446,705,467,888,753,897,363,643,956,632,363,125,393,473,389,521,826,755,
762,979,232,899,965,749,718,081,339,932,810,783,737,252,496,286,603,819,358,
681,772,225,102,135,524,402,191,542,567,918,754,896,281,112,838,283,875,172,
588,940,992,625,857,671,341,462,811,126,678,734,557,476,462,691,685,765,256,
886,264,368,847,923,699,977,302,489,214,795,095,969,428,417,989,820,698,903,
605,580,401,146,304,378,588,161,749,322,034,121,564,303,202,951,562,728,465,
663,630,410,402,400,535,421,241,875,876,066,650,480,255,900,146,852,742,105,
810,962,825,913,508,532,005,533,123,999,990,782,988,964,841,128,320,121,467,
893,236,642,935,678,519,214,078,162,311,689,335,332,754,463,311,472,849,541,
735,975,993,962,668,834,195,712,649,301,589,576,599,127,966,832,614,034,174,
193,911,875,577,018,074,839,665,283,661,100,716,196,561,724,147,420,098,769,
129,340,391,409,765,323,846,474,728,638,007,361,011,479,919,135,492,283,867,
152,548,110,256,142,319,569,227,478,784,304,308,871,030,874,857,405,780,068,
255,037,155,820,659,857,704,299,911,850,758,033,193,140,077,985,675,394,556,
674,129,273,517,078,130,512,523,777,047,871,272,489,657,800,433,002,752,583,
243,348,181,890,927,965,926,238,448,226,057,587,532,460,290,854,512,438,743,
063,300,935,777,578,905,651,663,028,267,838,014,129,598,923,242,537,964,603,
625,088,531,485,412,215,963,746,090,769,546,252,722,579,741,281,012,631,228,
784,478,256,736,879,682,762,421,208,752,023,556,744,276,141,073,697,717,036,
940,577,440,806,061,427,538,552,880,733,106,476,593,662,597,542,737,231,825,
314,124,182,821,434,507,195,773,891,044,846,012,937,518,750,600,558,148,782,
036,010,775,450,293,611,763,926,462,301,029,323,007,551,011,264,628,524,439,
304,816,578,344,932,243,699,855,111,105,189,404,718,492,079,436,579,997,236,
977,348,714,301,721,336,511,542,995,329,950,990,834,145,893,193,059,284,892,
391,169,953,901,965,331,684,546,849,051,254,023,458,256,435,183,192,979,637,
219,406,090,470,806,469,939,723,272,793,057,371,064,436,973,855,245,516,341,
888,466,885,354,555,250,010,476,295,484,719,295,321,657,949,193,648,495,853,
779,299,462,642,066,826,436,537,932,288,003,297,854,034,178,352,674,198,467,
620,958,657,664,461,200,113,727,719,738,303,013,852,139,985,074,359,042,525,
310,881,756,892,894,549,985,594,561,241,977,032,476,068,214,135,321,300,159,
406,655,602,164,754,418,598,289,263,932,709,868,147,544,067,971,636,608,207,
403,392,473,372,762,136,877,506,188,990,336,751,548,437,970,785,110,403,478,
528,223,471,692,859,629,966,512,116,504,649,060,805,421,756,260,648,873,026,
642,342,806,113,757,499,744,791,883,909,084,266,165,614,874,579,917,655,014,
414,335,349,447,637,464,835,614,770,254,538,129,605,689,475,651,080,878,332,
389,320,255,484,570,058,152,190,632,190,663,742,629,010,832,589,681,360,320,
869,999,137,826,254,052,368,130,931,249,603,293,119,365,554,102,560,075,101,
492,700,425,183,538,662,247,591,304,923,362,353,806,651,176,342,214,757,914,
226,251,357,309,309,736,590,128,634,871,682,403,890,367,329,946,919,329,509,
893,357,018,293,675,838,137,865,489,697,128,634,439,377,720,349,517,174,400,
293,065,778,038,977,465,246,309,774,921,805,423,279,148,518,528,683,822,789,
459,461,924,473,758,718,659,560,182,255,744,214,533,209,328,974,875,201,876,
450,814,375,026,912,107,764,991,052,682,703,722,819,858,704,772,771,125,190,
698,048,803,120,381,933,518,631,570,272,227,061,688,064,278,092,598,730,514,
973,601,157,468,985,342,364,958,773,707,122,688,261,921,924,231,310,917,444,
101,009,265,403,115,909,751,972,323,738,405,304,179,564,780,004,730,994,074,
753,945,055,736,403,046,551,464,940,332,702,666,398,411,024,595,626,769,859,
466,575,070,491,332,903,004,195,097,882,000,848,802,935,174,792,173,771,979,
837,897,944,034,778,906,202,628,187,661,077,244,370,162,952,388,150,760,736,
026,209,209,158,647,953,900,261,148,427,710,770,757,196,841,915,529,919,455,
754,193,086,143,885,392,393,518,854,466,674,881,609,824,262,773,892,175,769,
246,499,787,596,175,580,815,877,365,541,735,261,653,310,250,138,085,916,474,
941,323,876,894,903,167,411,955,494,298,889,228,370,929,938,841,469,864,843,
322,731,581,522,719,760,624,677,877,156,473,549,820,044,170,839,002,109,608,
202,438,654,670,432,746,580,341,388,927,275,517,321,722,690,688,071,944,181,
063,485,744,838,593,759,492,834,232,487,185,051,649,389,644,546,332,604,734,
003,813,621,770,839,530,625,530,538,553,090,075,114,644,342,261,919,069,414,
725,826,488,592,817,993,354,101,728,224,474,538,388,380,886,963,066,436,121,
154,252,863,345,231,200,091,719,912,234,534,213,170,490,086,184,169,064,511,
364,647,444,626,200,354,201,945,900,893,897,958,314,203,445,629,672,712,184,
898,399,614,493,230,036,973,908,807,713,656,642,010,442,821,639,088,090,306,
204,875,309,405,513,185,586,359,736,494,670,606,413,837,528,197,373,522,796,
132,939,938,488,849,910,748,318,251,516,895,535,122,848,421,723,684,641,332,
859,336,108,163,129,966,838,924,479,505,594,801,780,922,478,051,856,168,712,
826,181,561,877,318,143,489,653,086,763,688,168,744,633,420,582,625,549,997,
087,840,028,111,350,786,635,533,574,495,715,426,890,165,324,401,631,676,321,
822,245,223,413,116,627,372,818,014,313,803,224,200,694,103,184,782,239,764,
872,713,961,314,039,164,581,717,898,917,316,203,685,289,911,526,582,741,688,
469,436,822,539,070,604,809,504,636,268,499,656,565,172,761,716,159,324,266,
533,285,001,079,040,103,831,794,746,112,954,628,799,252,230,392,105,141,567,
657,058,430,776,920,513,029,609,059,826,091,745,333,592,650,544,426,362,605,
346,799,708,747,413,894,610,260,176,623,088,558,854,240,101,808,219,533,371,
466,546,948,107,194,363,395,334,013,823,934,508,300,982,154,691,673,751,130,
102,123,501,315,677,784,660,270,149,622,601,814,909,413,432,661,890,702,650,
384,290,531,199,152,752,375,200,553,247,822,191,225,014,202,417,343,006,739,
538,705,603,454,444,399,469,069,701,571,982,894,285,192,885,843,434,539,553,
107,485,563,611,982,683,084,416,209,661,086,203,432,825,364,437,106,717,092,
934,533,944,697,008,638,310,069,870,990,423,245,663,264,859,858,878,185,221,
588,166,374,945,082,474,299,811,404,910,142,813,640,393,195,494,656,922,734,
943,219,656,526,378,299,438,817,378,934,663,442,466,361,522,278,023,223,282,
641,667,478,067,861,299,608,854,376,129,022,035,447,121,904,593,615,287,457,
543,858,267,883,014,873,944,090,464,690,908,939,316,171,182,535,390,238,472,
527,898,261,175,153,237,722,592,487,600,836,935,575,799,682,209,780,611,045,
976,918,462,865,549,343,579,362,405,836,420,564,446,623,793,035,814,406,232,
274,728,305,246,887,440,052,019,298,766,590,061,990,022,675,770,471,182,736,
444,594,034,878,702,264,528,407,082,347,419,385,937,586,602,639,372,214,070,
663,662,104,627,742,881,969,715,259,733,582,546,914,775,255,018,115,838,912,
567,192,984,991,311,784,305,684,427,071,370,280,881,506,168,614,762,373,312,
439,795,882,147,786,887,766,441,972,321,313,774,793,132,132,707,609,072,156,
570,684,879,393,735,457,218,838,477,910,028,216,183,092,740,998,433,891,979,
096,622,095,788,014,430,495,153,237,263,416,032,756,346,330,662,594,549,254,
117,122,211,813,981,080,383,587,301,591,051,568,190,333,257,951,133,484,148,
497,556,398,744,371,495,032,541,019,861,209,278,454,952,198,047,461,172,735,
629,250,438,224,270,025,653,876,218,910,688,531,911,313,881,243,229,144,926,
319,974,180,193,271,105,168,530,901,905,951,906,500,235,729,219,801,378,794,
868,952,044,344,932,203,803,733,199,978,523,406,686,213,537,447,937,741,170,
093,634,557,459,627,652,600,958,623,006,331,983,489,649,431,293,561,275,447,
730,196,199,178,552,439,382,257,063,048,870,672,107,892,533,813,337,736,095,
167,703,879,923,471,596,970,742,169,809,411,028,320,760,276,032,706,163,892,
663,693,616,520,006,287,267,185,210,100,848,494,847,775,868,889,882,817,586,
963,435,539,229,105,937,562,646,402,209,051,219,107,783,901,214,946,517,803,
154,523,444,456,048,529,414,870,341,498,011,945,826,015,623,164,430,075,004,
365,828,295,874,297,554,392,446,030,555,948,944,616,293,814,279,919,961,385,
171,612,265,825,174,849,934,982,019,688,036,435,928,682,533,362,230,053,602,
524,280,609,791,327,263,913,254,938,122,402,581,143,841,310,227,226,381,654,
427,114,712,481,775,354,279,274,793,398,425,669,300,250,064,559,930,607,315,
608,297,933,984,900,868,004,925,724,793,321,022,016,879,939,485,479,120,810,
496,676,147,276,987,696,636,209,184,755,943,830,736,702,120,966,621,133,239,
148,334,431,036,458,157,434,920,180,024,006,354,582,509,634,972,062,130,934,
984,000,240,460,632,066,130,734,052,533,605,791,825,797,174,328,549,548,970,
323,580,148,663,503,115,324,958,582,081,788,122,608,478,253,927,160,355,822,
337,183,658,189,968,683,348,253,368,281,152,760,017,483,874,975,243,766,294,
375,775,016,345,889,843,007,375,928,356,942,524,816,785,389,755,082,552,353,
298,703,509,971,229,283,736,861,315,011,311,024,493,318,820,857,539,632,443,
732,124,209,373,240,457,102,944,987,265,959,434,549,923,155,718,221,924,556,
313,665,127,680,281,961,553,584,412,071,036,160,910,625,355,744,857,420,210,
122,381,309,339,359,757,556,927,598,146,906,582,952,548,855,133,823,925,999,
559,082,044,393,848,590,383,402,255,496,769,176,419,412,975,089,627,750,181,
342,183,469,183,979,377,406,109,642,391,185,341,563,873,679,980,256,370,997,
176,831,192,275,451,750,395,202,800,233,572,587,222,711,496,537,841,260,630,
814,970,385,748,216,797,192,224,183,275,993,142,781,400,714,633,660,855,149,
239,531,278,726,371,372,259,446,940,748,723,353,092,016,835,873,671,209,105,
154,021,607,204,466,760,232,876,467,349,169,153,156,320,452,942,681,327,391,
606,540,636,650,422,402,332,216,531,254,405,110,618,320,889,429,597,734,866,
820,064,670,408,358,774,562,609,233,195,016,885,897,074,733,241,738,091,627,
673,026,215,823,283,954,513,522,107,581,543,029,463,150,705,324,152,963,429,
945,378,015,659,419,405,084,584,124,511,259,128,986,077,790,244,116,064,712,
874,762,077,345,768,658,454,702,323,850,909,796,527,856,100,107,099,876,039,
701,141,954,712,658,377,872,055,321,678,350,490,036,872,537,130,819,174,545,
438,821,975,167,004,837,988,944,226,903,325,406,898,853,100,516,186,842,998,
592,309,608,237,876,447,100,873,994,757,056,026,486,898,372,544,102,110,048,
051,649,354,231,248,030,988,581,566,913,260,022,731,702,722,832,501,540,934,
026,400,738,070,141,710,362,277,096,664,043,328,577,587,423,674,510,174,627,
578,250,763,154,029,507,732,645,491,603,148,474,020,342,952,574,496,855,889,
255,578,948,775,975,301,624,742,652,856,167,011,976,720,143,104,914,312,463,
839,246,580,719,968,531,673,852,183,956,622,278,054,669,093,079,471,238,500,
421,117,014,276,981,393,736,049,013,637,125,933,837,753,538,685,319,386,305,
025,446,946,047,838,925,408,851,591,982,157,295,730,154,064,057,732,806,461,
467,567,655,205,227,996,447,922,435,993,594,047,747,980,927,554,945,221,735,
414,828,016,994,888,305,804,656,923,511,386,618,126,462,476,067,702,267,970,
084,904,262,624,609,601,631,507,120,411,366,119,455,097,501,590,197,257,399,
813,116,071,072,046,659,315,183,060,392,455,140,996,361,704,373,982,677,624,
422,932,460,465,988,400,390,239,105,474,508,539,503,403,518,680,591,814,643,
236,205,952,897,412,239,063,082,220,465,795,942,726,314,061,349,047,921,734,
400,415,904,206,135,754,007,212,333,580,274,576,803,783,366,343,625,353,512,
684,779,990,612,617,017,654,564,384,798,713,865,020,300,549,256,733,253,011,
087,108,372,693,138,896,547,662,290,163,614,503,612,041,874,142,617,828,592,
142,583,116,906,253,536,276,276,070,009,343,773,264,751,534,984,684,408,503,
328,775,139,129,915,502,565,177,198,810,407,170,267,321,388,335,266,885,761,
241,047,865,137,320,490,104,605,339,070,526,270,345,702,485,666,331,261,678,
381,648,802,375,568,375,658,741,573,499,424,778,007,075,219,341,150,505,976,
881,207,652,163,039,486,741,470,409,882,684,069,366,951,394,420,499,817,458,
068,671,103,452,015,100,004,113,030,836,545,612,524,001,734,748,233,942,839,
805,980,501,488,678,233,177,095,856,127,582,087,194,432,519,541,397,803,294,
125,418,053,312,673,628,570,760,058,430,683,277,193,919,425,955,366,834,621,
904,448,347,727,257,516,657,461,022,036,554,573,423,179,761,532,398,419,127,
372,685,954,113,734,432,394,509,655,109,532,791,659,523,628,855,650,113,231,
939,305,159,848,465,192,182,770,176,239,286,640,509,713,634,397,039,281,128,
288,498,280,631,844,211,526,971,166,167,996,611,441,652,116,875,641,922,341,
497,932,234,361,503,659,016,306,518,155,682,337,538,693,495,709,974,098,230,
119,998,568,874,629,966,981,368,840,449,811,608,910,024,752,427,270,009,639,
292,429,672,774,532,907,926,230,847,767,762,180,433,398,684,932,984,205,182,
868,345,441,070,006,345,994,440,678,205,694,695,735,042,124,952,175,416,838,
564,580,461,101,780,023,372,343,688,856,791,204,951,637,172,705,938,079,166,
320,963,143,223,299,971,611,581,105,800,221,065,653,777,839,390,088,233,421,
231,102,687,545,493,306,865,377,022,119,874,660,326,450,594,669,211,479,018,
249,672,273,196,559,324,642,776,537,185,167,998,461,852,520,570,660,730,706,
991,535,910,317,862,951,964,531,830,611,482,409,676,036,125,938,388,454,998,
250,179,264,094,891,548,928,014,047,102,563,890,248,424,850,739,567,744,335,
814,900,286,479,698,850,259,665,863,092,613,000,412,046,958,943,579,889,680,
250,312,234,552,270,518,383,163,710,031,225,719,135,238,039,227,613,070,102,
611,033,304,385,876,684,558,110,793,874,895,390,589,296,667,833,706,699,401,
219,603,388,864,803,545,006,295,431,415,229,327,766,930,848,171,510,979,922,
092,117,815,015,650,937,241,926,579,584,272,247,494,454,981,044,442,986,398,
654,220,723,732,291,607,714,123,729,688,725,881,393,543,325,822,302,244,119,
497,072,813,746,763,674,171,056,801,865,801,635,996,129,588,592,933,015,526,
185,101,830,142,143,522,405,144,770,125,464,753,493,626,599,688,369,164,444,
227,997,253,173,519,854,165,435,918,244,329,261,197,074,012,402,293,458,783,
633,603,543,866,461,551,624,841,836,968,108,321,095,479,474,666,166,286,448,
635,273,351,914,461,080,890,659,699,985,270,018,536,146,699,117,812,333,683,
782,819,923,429,227,627,790,841,348,680,969,833,024,005,724,053,856,299,964,
646,181,354,848,652,060,939,882,448,197,351,266,645,839,062,228,398,251,287,
710,420,522,046,862,497,363,742,904,760,499,393,426,175,187,954,195,634,466,
141,201,767,906,907,914,868,026,812,772,175,067,809,041,931,300,214,926,001,
311,401,757,205,756,224,293,657,723,317,609,950,296,763,347,572,037,623,604,
679,664,809,253,964,559,927,705,836,031,458,556,594,983,957,225,872,249,827,
376,556,065,438,040,886,770,022,860,603,800,073,394,851,808,723,095,164,688,
525,533,105,197,160,982,682,546,236,214,204,904,062,151,171,940,069,247,959,
794,467,730,519,108,585,653,663,014,555,424,837,729,710,068,184,470,354,820,
433,952,988,062,675,132,266,841,863,463,843,823,765,444,208,746,759,456,252,
282,959,115,842,382,893,151,757,143,810,901,821,477,428,491,702,482,145,531,
366,948,249,574,724,395,516,836,673,542,106,101,403,170,164,036,788,805,147,
490,223,364,986,987,904,026,648,960,155,469,037,150,446,436,851,815,815,189,
777,953,884,842,161,063,059,847,646,652,626,547,648,707,364,651,129,552,301,
118,433,597,840,313,863,520,019,049,995,072,974,152,826,206,063,159,336,615,
751,875,301,110,206,802,593,069,134,808,615,839,586,756,556,312,252,278,016,
728,882,830,210,680,905,777,411,782,661,501,339,579,960,007,120,768,804,207,
812,074,219,772,797,377,365,689,017,498,626,017,078,020,303,459,050,914,421,
799,155,848,954,745,596,383,665,033,600,471,616,511,733,890,856,218,430,207,
583,487,629,969,406,885,293,926,798,414,500,680,161,757,805,289,270,839,892,
751,229,657,380,922,848,101,331,682,211,739,907,019,684,454,305,263,701,412,
989,008,682,513,034,193,635,802,192,892,396,318,288,268,914,215,733,814,559,
273,631,809,016,557,670,354,678,439,159,343,322,045,913,217,559,664,821,711,
783,482,452,734,411,695,660,678,213,612,421,848,680,653,633,975,878,160,749,
998,132,802,799,449,966,086,820,328,267,676,302,864,745,573,276,743,706,730,
307,818,265,186,654,806,554,446,830,556,642,295,332,616,206,709,472,175,013,
846,292,157,283,668,019,257,859,232,634,392,666,542,499,962,944,271,221,067,
078,747,460,321,772,296,680,350,185,803,946,791,834,334,874,107,260,100,300,
794,934,344,164,913,068,135,123,819,633,198,630,163,136,947,006,548,773,616,
114,801,347,875,019,204,384,964,849,821,841,880,509,886,862,995,070,702,525,
053,112,032,260,485,674,918,808,585,916,642,702,735,329,270,309,227,391,779,
596,646,008,459,598,619,854,008,573,586,437,051,461,942,336,950,144,001,672,
519,004,731,288,071,325,309,000,019,867,910,978,064,119,478,268,772,573,689,
062,533,458,249,745,269,445,301,846,650,229,958,511,924,916,303,893,154,191,
459,564,916,778,024,296,464,985,587,427,654,764,054,597,530,789,825,346,211,
754,712,185,086,114,981,200,907,134,573,966,156,938,344,236,455,330,800,489,
869,707,113,457,514,263,104,518,299,122,138,184,955,690,106,848,797,173,082,
824,063,346,972,976,742,974,928,311,873,410,165,990,168,910,343,052,499,048,
574,900,221,906,313,284,034,279,885,759,969,541,577,661,603,645,690,161,381,
767,231,458,310,401,251,717,190,631,422,223,333,096,688,628,335,050,500,852,
811,427,851,028,250,156,240,728,337,626,775,816,826,762,610,615,799,732,057,
795,489,974,350,579,380,908,907,645,098,770,720,747,107,647,869,047,544,490,
947,584,260,725,691,287,202,583,606,303,687,713,635,389,911,976,971,387,203,
729,160,519,191,593,110,672,974,520,929,610,465,637,495,432,718,234,692,676,
927,893,039,552,429,327,918,699,090,771,052,677,092,646,446,238,508,766,702,
917,376,561,956,711,645,970,605,169,129,565,248,464,743,564,748,016,166,333,
878,509,780,252,535,845,675,490,247,281,756,264,206,550,675,636,342,827,651,
122,011,912,280,649,100,712,695,354,218,389,325,366,307,585,804,961,747,150,
424,739,711,848,131,289,468,332,703,657,079,346,485,819,725,041,564,980,104,
230,987,710,495,583,765,134,458,217,345,460,987,913,063,286,862,120,244,613,
168,489,732,124,596,230,603,589,882,516,766,735,456,256,664,411,074,861,172,
352,195,929,352,182,858,439,382,538,217,536,963,994,395,032,452,401,878,700,
794,483,047,215,646,447,887,205,385,756,931,774,147,677,470,314,815,730,327,
366,009,571,763,964,032,198,770,396,928,874,916,772,004,800,977,892,176,956,
305,466,374,352,674,885,374,765,543,186,745,410,889,188,954,341,610,431,697,
751,780,159,427,809,209,219,878,366,787,843,652,614,701,808,506,929,811,414,
950,323,600,881,377,377,594,237,864,273,521,773,951,463,209,212,518,572,326,
495,354,291,830,394,591,690,051,521,198,215,482,731,440,553,956,878,975,406,
532,488,462,378,656,135,458,945,857,328,546,486,350,441,963,843,495,903,773,
086,596,115,180,302,217,626,521,813,864,119,296,739,107,290,974,960,871,972,
172,231,524,001,875,416,898,262,129,764,654,955,377,848,383,625,069,225,785,
921,012,594,839,739,318,756,484,322,898,987,426,433,960,407,627,301,731,716,
482,926,607,429,565,021,090,985,230,099,784,933,873,748,236,522,407,288,201,
806,626,191,376,522,423,573,785,900,540,386,062,323,980,056,333,376,238,215,
005,644,044,051,471,508,834,805,916,458,370,454,157,605,245,371,637,366,485,
168,211,479,364,330,682,602,055,182,516,313,561,044,456,797,618,673,796,522,
164,388,908,205,948,767,702,778,126,498,940,872,598,636,030,128,434,153,015,
952,996,459,720,951,861,311,654,887,966,071,792,386,665,558,608,941,387,215,
829,679,880,017,929,484,132,732,747,554,671,848,184,920,316,150,932,309,854,
477,928,035,361,133,419,118,525,639,643,672,585,723,599,160,666,098,049,702,
640,175,408,050,074,343,746,306,983,319,159,643,043,387,362,068,706,517,121,
740,992,104,750,299,329,178,744,041,192,428,423,281,428,408,252,627,839,881,
650,909,975,294,027,461,584,932,040,967,919,323,821,981,016,826,436,343,425,
952,185,645,831,769,497,090,310,813,128,560,440,836,752,973,469,429,695,276,
715,825,355,145,501,520,795,798,443,583,401,838,694,826,662,618,019,361,381,
692,833,719,612,863,930,792,557,825,049,352,569,399,873,864,587,646,072,264,
491,721,104,294,847,155,035,929,111,117,528,888,262,563,070,089,076,901,325,
710,063,072,768,834,714,629,282,611,917,153,846,577,238,475,628,771,813,057,
314,616,596,508,145,106,682,879,290,872,927,115,316,747,591,706,972,687,211,
635,059,913,316,687,329,940,701,174,647,879,463,945,685,696,358,624,479,677,
279,113,327,050,141,992,331,734,223,408,785,373,440,733,630,530,879,731,103,
860,455,510,520,743,758,104,142,599,941,507,324,742,547,202,033,852,459,803,
295,681,345,477,702,720,150,328,140,986,830,712,200,667,793,175,799,247,580,
320,608,862,029,555,026,044,612,331,479,038,957,723,659,935,745,953,804,064,
389,344,752,512,686,437,246,640,876,182,441,669,335,004,604,604,541,960,364,
718,961,020,235,852,393,725,270,978,777,764,685,544,315,335,844,772,319,934,
095,035,194,423,165,550,339,066,239,424,703,710,996,257,130,264,852,976,093,
086,828,716,716,636,046,923,193,355,296,621,352,329,285,608,582,337,292,294,
944,775,923,561,565,721,460,142,380,162,263,419,715,352,495,631,777,312,280,
480,534,353,110,400,942,097,773,046,957,045,188,881,998,457,611,315,059,677,
151,017,995,613,691,543,731,727,190,844,279,455,606,522,909,886,687,090,585,
804,245,857,578,712,474,082,773,046,135,379,022,816,057,151,590,800,565,392,
109,362,884,213,227,267,185,396,929,207,268,510,603,314,572,648,861,860,112,
563,634,999,577,197,695,884,171,393,792,850,540,363,087,730,770,119,551,602,
595,035,015,513,000,976,347,268,074,347,408,506,899,601,658,244,975,546,021,
403,911,315,155,306,414,169,247,229,674,389,895,391,710,435,496,963,085,797,
594,850,589,014,270,576,044,629,865,843,691,982,696,459,379,100,933,669,029,
247,106,597,822,135,391,160,277,832,314,271,857,318,804,812,728,652,246,174,
129,766,076,140,268,791,516,118,187,312,902,268,087,736,384,316,202,701,842,
975,667,391,847,706,670,492,717,453,175,837,498,479,731,700,117,925,911,570,
379,278,978,563,843,445,690,181,182,295,415,981,350,278,478,659,695,696,404,
000,790,441,211,169,662,654,557,549,921,441,132,527,611,145,364,682,538,539,
838,718,476,994,195,500,541,279,155,729,910,331,170,105,597,639,310,851,905,
226,568,900,720,819,559,759,680,468,924,127,655,116,070,748,252,878,627,281,
381,069,161,589,040,605,466,365,322,707,405,994,689,594,701,963,058,814,715,
807,456,324,338,271,945,000,726,317,972,216,153,898,307,411,663,104,605,676,
993,098,480,841,381,754,339,536,478,521,410,360,078,512,647,902,453,335,340,
056,215,101,050,679,500,392,188,984,337,606,492,519,919,683,515,217,588,571,
866,440,856,830,212,619,119,959,732,013,128,351,291,532,226,556,202,662,761,
335,334,311,888,913,430,616,793,395,409,293,484,957,415,454,871,898,557,315,
373,690,215,894,859,982,255,156,358,871,012,081,596,277,348,555,797,700,717,
477,995,148,891,261,346,523,333,842,335,076,540,261,446,231,196,803,450,181,
340,584,859,199,617,418,242,108,086,157,994,438,569,093,970,323,893,955,362,
249,984,125,089,566,477,168,503,418,266,938,864,930,707,715,291,089,841,414,
917,998,251,341,150,040,372,838,486,315,042,932,239,655,367,559,466,897,270,
037,271,626,615,174,817,494,861,764,945,013,232,153,802,285,867,720,862,494,
773,119,137,153,958,375,413,067,008,142,474,078,296,704,269,028,743,593,354,
805,780,893,670,136,592,859,924,844,090,533,374,565,087,093,425,842,629,973,
275,068,070,714,864,599,903,245,128,909,325,137,565,041,842,645,093,469,684,
373,107,627,776,547,566,658,855,022,736,151,178,353,284,905,014,749,672,025,
127,935,210,028,427,048,944,792,528,951,928,208,985,187,605,508,845,495,646,
808,461,238,637,128,043,349,515,178,951,285,495,912,861,304,222,017,102,839,
728,634,017,943,468,879,772,145,609,406,463,357,553,222,094,118,130,925,564,
976,109,315,521,229,617,509,067,943,711,921,551,658,717,139,290,256,285,588,
113,893,132,551,725,750,968,259,271,696,831,970,313,199,944,302,579,895,634,
000,637,893,973,274,385,853,140,028,889,715,075,205,254,154,232,712,643,071,
665,930,638,332,620,629,056,886,963,258,493,969,087,288,214,702,711,809,929,
818,773,281,434,586,432,160,716,400,771,940,619,822,875,383,168,129,917,268,
372,230,999,774,714,191,423,251,035,316,220,411,374,749,573,041,302,587,497,
274,434,973,890,508,845,992,127,743,837,334,735,696,000,339,132,769,076,727,
026,621,056,835,580,990,299,387,587,207,662,678,129,646,296,215,005,888,778,
771,318,624,683,185,021,706,667,745,839,561,092,783,758,623,162,891,059,073,
137,677,619,418,939,273,948,588,472,032,298,519,249,826,189,639,799,988,853,
195,123,847,478,461,689,341,051,446,471,415,796,955,152,892,160,126,257,783,
437,982,987,705,517,656,051,244,835,657,317,249,227,782,940,676,244,721,973,
874,583,243,222,376,060,850,314,305,819,026,295,414,970,494,956,337,286,665,
610,447,727,372,099,448,819,283,443,374,460,193,861,977,229,041,760,596,892,
178,150,543,554,445,464,070,842,754,335,606,036,996,334,397,380,821,599,258,
914,454,145,463,696,566,034,356,708,299,180,756,798,110,545,205,388,051,744,
784,437,702,814,261,901,158,928,123,380,839,253,374,512,292,702,636,638,331,
795,950,465,656,475,509,426,389,467,995,248,476,909,950,933,049,436,079,363,
195,337,388,837,742,279,207,960,249,329,362,424,040,530,847,873,706,348,041,
011,298,736,450,859,120,556,322,834,272,895,522,945,938,912,785,947,674,041,
619,243,322,127,336,604,431,699,475,019,009,153,436,383,186,305,950,406,623,
633,470,847,162,461,220,031,306,425,844,006,609,939,530,843,932,786,662,074,
289,731,303,215,686,662,167,351,501,022,979,784,509,389,685,988,093,968,816,
445,890,199,170,984,159,574,853,434,405,338,714,219,572,672,935,807,158,498,
894,091,241,853,081,491,197,430,143,903,690,044,046,008,994,373,848,174,324,
009,343,456,841,029,213,091,108,003,881,277,736,261,614,563,876,372,436,684,
560,034,044,196,592,430,471,901,398,453,356,838,177,961,774,056,476,323,256,
527,944,947,358,594,025,941,804,547,591,536,976,670,109,706,698,459,396,298,
519,034,996,348,564,588,972,537,484,818,058,800,884,967,261,961,327,674,583,
644,732,076,626,664,522,055,215,312,770,544,350,093,108,185,863,564,929,962,
309,197,872,321,927,856,932,509,364,870,443,034,785,977,407,407,630,151,986,
608,988,359,026,487,225,466,983,259,020,776,722,812,566,402,815,623,733,635,
074,481,970,387,776,980,991,299,715,234,586,183,554,592,990,359,886,145,550,
326,702,124,630,106,944,519,716,725,517,732,178,309,514,006,027,221,093,517,
414,766,000,828,955,464,782,807,640,889,195,147,419,929,017,417,305,056,901,
218,680,324,341,755,807,316,807,470,830,376,499,466,028,544,753,032,020,710,
929,403,445,727,566,413,269,897,111,565,775,463,124,610,354,512,380,679,961,
211,337,291,830,758,499,099,414,616,674,202,139,292,730,478,494,296,818,171,
640,546,280,221,766,330,915,111,474,455,253,712,020,852,969,006,671,284,832,
206,871,978,836,174,941,440,317,891,696,132,730,613,746,768,929,985,516,389,
297,209,815,237,048,684,048,626,848,541,934,754,204,984,842,396,334,669,724,
521,405,236,837,995,649,905,394,778,926,711,674,748,170,211,786,915,278,988,
930,454,486,643,221,763,105,759,577,275,406,401,122,436,974,487,432,273,528,
149,664,171,855,991,060,443,399,460,100,102,679,272,116,769,944,716,945,018,
553,483,842,262,305,520,317,300,299,429,663,142,883,842,054,169,159,454,405,
770,594,014,209,555,359,732,289,806,982,235,303,027,607,774,044,307,459,159,
843,575,397,236,565,822,179,640,585,795,070,131,653,943,547,467,466,474,996,
489,337,081,796,575,801,792,396,256,822,116,245,307,750,125,632,572,422,245,
416,189,963,399,785,639,724,228,369,900,084,667,870,332,834,272,852,503,209,
142,678,080,935,370,806,173,755,486,546,033,880,816,224,672,036,953,210,448,
408,866,894,571,560,351,569,908,294,772,439,465,588,104,109,300,089,991,580,
752,494,127,952,277,165,931,382,192,573,650,643,250,188,495,311,779,078,136,
989,274,856,146,174,255,951,545,523,384,126,133,580,946,970,292,044,240,843,
644,441,345,722,163,098,451,640,792,326,506,092,111,655,067,635,081,761,945,
053,189,421,410,598,587,484,714,572,115,149,625,977,857,223,999,347,348,149,
452,459,587,929,737,769,086,007,520,665,823,885,956,618,937,496,057,151,503,
483,077,954,766,242,199,634,432,117,477,565,872,579,571,336,973,057,499,779,
568,861,754,290,861,108,228,098,423,248,736,260,940,948,234,839,390,349,490,
462,424,880,407,809,921,599,690,581,249,606,893,049,025,243,169,619,232,647,
153,697,769,633,800,467,668,974,063,788,158,408,257,918,042,297,376,016,098,
257,748,450,281,787,819,144,164,683,889,029,979,077,533,828,690,875,967,030,
907,759,021,942,704,377,679,447,883,770,246,445,853,776,946,647,536,324,286,
108,369,828,697,997,891,398,870,555,470,317,916,285,929,880,952,420,555,765,
383,653,980,386,702,013,539,797,334,822,950,455,349,028,302,483,697,174,062,
928,625,634,087,103,436,191,123,232,685,986,530,379,166,992,729,442,295,012,
470,802,657,363,098,534,209,030,089,627,586,571,595,217,753,811,314,407,205,
787,601,350,779,886,800,806,470,765,223,991,901,074,174,422,342,549,368,256,
981,691,040,278,830,814,698,419,273,191,272,156,000,773,410,179,697,294,048,
487,867,004,476,591,494,497,234,921,461,000,734,307,120,185,425,652,143,631,
408,057,258,859,181,550,156,294,285,323,116,717,252,229,482,067,076,152,924,
435,030,988,587,443,142,802,117,822,889,007,751,459,113,875,649,014,518,454,
079,136,082,344,127,743,704,710,190,152,426,763,974,328,505,844,371,974,587,
289,147,113,192,142,808,996,698,389,291,015,721,656,974,621,713,172,445,397,
205,757,022,444,544,152,731,793,225,383,734,169,879,708,345,620,971,438,921,
235,789,594,717,427,422,491,972,485,760,767,312,689,315,822,306,209,988,151,
175,118,040,886,752,110,679,402,599,619,967,566,295,125,886,952,867,806,627,
382,222,738,754,069,612,018,055,749,888,951,407,319,536,309,342,483,029,685,
630,321,036,200,006,953,348,769,719,978,875,824,645,005,644,393,760,311,075,
189,872,864,048,331,361,057,409,092,987,567,888,100,790,574,624,879,756,149,
986,217,554,486,362,093,261,655,794,109,256,800,246,982,847,985,288,458,143,
835,134,282,368,247,448,861,360,147,562,171,628,294,501,885,368,322,223,464,
527,688,612,266,485,027,548,108,024,551,588,144,613,276,979,976,600,721,679,
777,236,213,493,347,536,385,378,830,663,423,986,510,008,157,627,292,623,510,
472,615,757,422,984,436,950,928,794,813,629,690,028,214,641,400,888,218,313,
880,625,582,090,425,244,690,307,848,954,219,493,009,443,304,620,316,694,430,
526,901,004,642,147,445,991,833,962,997,450,944,298,715,187,241,472,756,225,
571,954,036,304,906,187,539,129,257,644,671,311,473,676,205,803,892,693,311,
761,646,257,386,164,988,873,056,130,979,707,439,221,509,284,108,223,430,178,
090,318,788,907,990,907,519,346,382,987,942,980,352,934,355,423,570,775,530,
099,195,208,577,152,508,478,539,840,013,671,957,771,279,123,374,356,668,077,
574,422,825,958,747,940,501,396,744,608,310,207,129,784,931,976,229,679,135,
257,005,077,136,904,241,537,709,412,593,841,063,816,985,762,690,263,325,778,
026,190,532,111,065,595,781,225,069,344,574,105,809,626,335,592,522,252,979,
306,747,839,750,382,370,289,348,467,224,743,147,361,663,383,284,327,036,463,
617,113,246,543,447,650,493,507,004,808,422,679,781,233,240,035,395,796,991,
784,986,971,586,038,818,278,137,139,097,583,484,922,214,053,772,236,697,382,
800,825,527,349,287,038,263,375,436,594,090,140,295,866,816,542,792,788,810,
175,460,389,066,774,553,777,455,766,717,868,202,262,000,125,642,696,503,541,
238,406,298,423,305,246,109,524,643,424,912,343,827,082,134,079,678,339,345,
834,444,092,805,653,298,800,706,448,499,811,258,456,893,060,769,608,574,713,
856,590,468,690,005,984,087,421,104,267,058,712,107,649,545,243,776,075,157,
674,683,839,214,314,525,371,487,970,087,849,717,109,751,050,385,993,716,611,
313,462,040,749,286,306,368,882,562,574,510,476,028,085,638,623,737,000,269,
184,833,999,101,900,796,061,840,299,479,412,885,773,949,301,659,537,234,073,
923,038,259,343,878,099,848,727,662,480,401,698,106,609,561,049,232,402,082,
440,961,252,240,366,056,563,782,619,496,230,955,848,360,094,050,223,405,056,
807,054,263,843,744,784,212,039,218,401,999,472,583,413,571,295,234,828,499,
937,663,383,766,216,764,158,015,240,242,771,669,434,892,806,194,261,364,849,
665,406,185,770,544,209,709,808,927,570,572,391,459,828,619,435,053,992,546,
886,949,349,793,250,387,584,130,633,115,387,148,566,242,985,118,101,414,063,
513,884,591,069,848,353,300,565,749,142,458,749,449,127,925,685,223,927,596,
094,856,483,093,785,221,917,754,480,836,971,215,126,507,680,465,932,113,481,
247,679,073,999,766,989,138,775,959,166,757,163,118,222,513,853,578,771,820,
343,269,573,399,084,350,140,818,548,919,906,054,073,757,964,151,029,545,524,
534,712,687,215,683,602,500,134,318,484,764,483,456,943,291,074,194,201,510,
435,028,925,777,531,149,522,507,836,610,154,012,272,442,738,217,488,055,491,
574,231,429,551,673,627,534,559,639,983,136,036,923,549,385,671,267,606,937,
592,974,347,895,084,262,526,642,857,313,858,071,302,175,845,368,189,252,183,
708,536,430,985,810,838,205,232,007,343,829,452,309,295,540,869,495,073,754,
064,926,335,964,451,466,609,756,914,782,373,576,020,037,367,586,605,264,731,
552,089,043,804,926,897,448,988,626,012,821,645,471,785,153,995,457,618,962,
601,799,155,752,451,437,949,789,684,374,348,104,400,934,010,164,416,934,269,
481,618,880,801,279,562,012,496,500,542,499,656,984,467,252,088,336,995,618,
817,655,325,886,825,563,979,531,389,998,349,047,795,776,960,573,528,093,077,
901,195,981,813,240,956,011,937,950,114,461,076,448,804,345,780,110,320,331,
251,139,520,587,085,428,348,506,985,509,594,612,613,991,217,698,832,668,768,
208,128,113,057,971,445,692,728,636,141,978,033,487,718,408,501,401,896,845,
755,311,334,052,959,509,186,429,646,128,346,014,617,123,556,902,778,905,007,
207,474,922,850,285,054,534,248,337,887,149,215,629,311,148,168,169,595,610,
153,725,317,016,674,709,103,618,879,256,684,925,226,544,785,923,905,888,503,
879,753,871,580,003,498,467,404,301,667,066,344,136,975,321,411,164,871,408,
930,161,284,508,426,474,761,776,298,622,953,683,731,710,339,880,698,279,358,
184,215,320,195,059,055,169,141,671,492,252,852,387,507,092,530,358,156,108,
966,706,597,093,714,487,236,769,125,023,798,347,615,795,177,511,078,553,638,
015,110,207,640,856,685,833,769,687,313,331,490,448,044,552,286,771,940,430,
393,506,647,197,865,872,866,519,479,690,737,473,110,088,194,324,135,128,841,
934,450,979,411,559,271,290,273,807,985,706,279,084,948,338,836,408,426,640,
888,768,901,329,589,868,896,087,272,666,880,388,384,660,703,097,661,757,357,
674,790,725,673,170,140,257,969,151,198,802,010,632,739,249,857,633,164,851,
179,556,314,806,781,115,610,462,146,487,770,367,076,937,542,579,960,834,028,
706,076,322,763,242,784,491,013,580,463,186,036,097,180,980,492,202,717,265,
884,788,089,677,988,670,192,924,771,535,875,346,606,123,748,350,061,847,514,
217,714,457,720,528,925,295,463,043,102,330,836,366,371,962,601,243,347,981,
166,982,566,530,835,404,978,719,407,033,285,469,924,611,695,954,630,529,189,
270,022,830,467,278,952,406,441,696,139,053,859,581,086,303,645,705,873,340,
034,773,128,121,015,331,714,872,383,803,017,689,673,587,077,912,544,516,076,
748,940,296,736,618,693,682,752,927,265,053,550,630,582,399,775,797,484,864,
932,472,176,189,751,360,318,932,939,702,936,374,872,656,654,744,429,749,363,
595,062,529,497,832,122,071,616,403,704,955,515,446,282,205,351,821,710,184,
094,700,427,351,762,335,678,714,915,018,972,463,882,051,397,429,438,803,034,
964,073,298,440,465,400,505,123,527,942,037,010,087,505,797,980,304,754,161,
953,154,175,553,406,241,915,934,717,180,226,821,302,121,146,373,443,134,817,
963,815,705,481,183,646,717,659,295,641,454,113,104,398,909,885,303,565,642,
186,514,334,418,291,447,006,544,485,567,733,206,128,014,528,390,040,648,188,
055,140,124,688,300,381,610,938,762,881,448,985,386,733,245,659,666,474,915,
272,458,571,412,458,774,178,776,520,956,960,325,308,530,324,301,122,210,619,
248,950,094,862,700,420,511,256,285,594,821,975,970,408,014,400,488,367,206,
123,335,903,731,906,852,935,079,416,962,190,246,405,035,201,662,259,220,003,
739,881,755,830,086,114,546,818,554,898,689,914,568,299,707,233,086,946,539,
560,448,088,602,145,286,829,875,099,142,170,815,126,166,161,125,003,790,588,
697,727,222,386,452,753,634,208,009,720,080,576,151,857,731,410,543,343,204,
048,611,863,302,555,441,995,074,184,763,792,877,171,109,916,533,812,268,533,
344,614,794,112,466,540,735,159,922,492,009,834,784,852,618,140,896,831,760,
819,665,359,389,702,159,322,633,914,732,990,935,470,771,497,863,976,704,920,
768,997,498,444,563,809,906,021,792,228,713,935,255,070,228,030,426,268,915,
634,703,202,147,111,383,896,232,378,112,356,620,320,372,385,727,545,894,195,
759,895,384,923,543,924,192,778,113,061,438,076,284,583,556,902,491,610,933,
076,754,292,450,188,669,598,992,289,689,592,368,803,710,279,692,908,972,316,
999,103,616,844,728,724,807,601,439,951,079,487,909,965,442,655,751,495,901,
671,500,419,891,422,181,735,216,988,857,885,059,908,339,354,895,667,170,460,
933,541,397,999,258,429,283,567,943,378,290,694,046,044,786,878,258,242,623,
640,104,799,771,881,305,206,971,820,354,385,758,904,626,081,563,704,880,670,
710,394,732,525,293,766,555,843,163,755,516,761,208,451,847,023,851,895,157,
318,473,910,859,662,729,674,415,549,029,035,330,567,296,667,790,274,928,340,
758,829,705,573,587,187,044,734,347,360,939,456,104,765,718,947,239,704,782,
013,888,606,899,370,758,705,245,497,280,334,814,122,106,077,688,556,983,446,
441,142,429,357,683,118,305,203,413,452,202,779,191,974,407,891,582,061,335,
158,813,503,392,482,505,075,307,553,687,106,323,826,377,803,442,244,111,641,
142,415,807,561,052,124,459,953,059,624,042,397,178,101,484,655,132,373,369,
166,486,178,359,830,557,146,294,055,274,216,705,398,458,210,347,439,810,348,
854,680,071,610,293,100,782,162,890,984,729,672,022,520,150,844,542,473,216,
974,863,947,109,327,972,913,585,000,499,860,875,416,552,654,071,744,556,771,
622,412,594,247,585,654,201,026,719,520,410,533,505,670,348,352,040,507,316,
887,234,141,502,203,066,895,663,783,962,645,958,116,469,619,684,547,733,650,
607,702,318,795,155,259,448,557,428,942,330,702,172,818,564,186,009,862,257,
392,964,343,400,071,658,554,258,253,417,728,192,037,147,375,393,470,586,283,
857,848,309,862,595,276,185,900,041,155,637,553,913,480,152,118,088,209,801,
440,127,280,433,395,130,221,048,504,806,415,087,766,238,370,702,465,839,656,
045,138,752,996,789,529,461,958,627,951,397,907,518,744,303,994,150,797,474,
899,280,438,596,166,984,723,399,068,980,183,887,842,490,784,482,961,838,998,
972,235,738,816,658,797,113,404,472,211,600,598,546,071,308,820,821,704,781,
929,304,727,655,827,164,524,469,411,415,602,834,688,192,337,573,195,813,176,
792,138,054,956,315,742,929,416,019,951,483,412,181,705,015,462,246,658,327,
016,438,153,207,004,863,389,606,502,921,150,681,808,843,441,278,733,389,765,
509,578,272,229,421,553,088,661,390,474,017,262,446,996,605,995,679,630,771,
450,764,788,976,658,762,569,097,816,689,861,770,973,110,749,306,408,769,352,
791,666,561,123,791,667,186,229,645,748,194,503,545,479,633,979,530,159,952,
971,154,549,286,242,505,545,221,332,394,502,861,846,389,729,408,328,325,211,
869,008,293,976,463,996,692,978,642,804,737,258,218,723,293,841,873,641,884,
392,547,077,336,270,201,078,922,561,195,240,350,980,287,321,458,788,880,119,
095,166,690,080,520,310,549,801,476,917,554,736,041,425,808,499,802,401,024,
338,559,485,087,950,231,906,762,041,904,595,728,827,815,163,517,917,286,222,
941,337,209,007,950,729,175,883,586,489,498,941,712,929,028,334,765,997,228,
013,855,692,181,675,966,426,074,453,456,922,734,794,973,937,236,626,184,715,
195,216,146,288,277,275,645,408,259,110,414,450,600,157,351,843,675,805,366,
340,056,036,363,927,048,927,285,377,952,069,592,334,941,364,520,579,372,040,
643,016,964,422,657,417,118,414,191,569,562,206,106,962,851,429,639,857,583,
342,298,771,092,285,858,967,443,150,529,889,359,723,342,207,883,161,108,557,
141,913,329,599,040,779,641,659,877,555,881,083,931,376,181,405,427,033,412,
338,124,104,148,804,837,780,494,036,346,796,778,055,518,351,422,224,501,171,
377,681,776,085,870,028,638,587,154,730,808,376,882,944,321,460,559,466,916,
434,551,317,458,265,367,695,683,871,407,755,705,668,277,345,434,129,129,597,
815,135,242,452,247,484,642,123,629,476,735,703,253,070,718,930,338,887,378,
505,638,033,027,874,710,386,422,160,138,216,602,476,712,261,924,426,883,763,
766,822,140,151,172,553,703,556,116,105,165,433,349,643,253,155,582,057,749,
677,300,289,897,204,082,654,449,685,558,442,211,528,696,605,113,266,762,741,
380,174,029,696,620,118,618,539,527,753,762,991,859,335,778,478,753,349,485,
062,091,210,021,417,175,491,304,856,924,620,231,296,660,999,069,804,273,978,
883,470,612,347,165,087,870,324,562,353,375,419,592,542,895,086,925,424,953,
798,808,182,215,165,242,964,169,391,418,986,315,779,820,583,472,763,148,105,
793,812,344,520,509,794,133,282,901,383,936,653,303,479,896,226,848,091,907,
537,257,328,090,500,920,142,022,719,920,000,302,305,487,044,702,270,590,481,
840,501,928,643,307,964,034,620,802,613,007,138,331,060,725,218,832,994,306,
993,793,785,223,405,147,832,189,059,655,852,783,899,553,189,877,556,034,634,
998,228,870,094,612,158,331,009,481,942,018,289,709,742,342,987,571,969,489,
892,769,895,751,611,387,578,986,386,949,733,750,911,396,791,008,113,830,428,
093,227,852,318,394,542,537,187,246,923,884,541,462,713,093,067,253,029,307,
475,452,327,700,871,920,084,006,876,462,050,449,913,302,504,577,937,958,118,
556,887,555,325,882,842,812,328,333,822,921,123,248,292,717,612,663,968,225,
899,148,168,556,657,961,310,262,966,840,824,931,963,430,164,303,464,400,348,
410,774,177,013,556,417,778,592,407,591,465,091,753,912,327,205,704,227,500,
910,548,877,964,628,701,944,594,464,080,934,046,596,102,434,150,582,374,192,
942,334,699,498,422,376,079,248,804,750,331,985,722,145,172,223,944,060,930,
160,108,744,092,232,697,261,883,911,449,823,053,482,642,687,659,218,395,577,
820,272,270,610,649,521,854,051,317,810,344,656,716,561,929,280,263,638,825,
380,537,046,330,501,284,175,758,224,380,441,741,701,582,601,301,626,790,029,
427,019,939,162,149,813,393,426,153,401,352,593,461,999,914,228,905,581,413,
456,020,195,831,368,728,840,718,462,079,497,416,802,811,651,361,980,703,800,
795,851,415,194,317,188,928,424,153,151,918,366,212,887,722,413,933,357,357,
968,573,834,282,124,295,777,963,295,098,231,264,650,923,448,747,595,568,179,
999,405,194,506,668,154,424,165,063,474,919,847,077,465,746,704,988,499,963,
922,807,229,270,150,484,912,315,099,170,387,630,067,849,285,440,618,155,915,
779,378,354,161,415,511,239,160,562,552,932,224,501,434,655,883,643,656,239,
822,001,666,031,177,044,205,147,609,422,054,272,761,515,685,669,650,035,293,
249,550,366,349,023,842,470,222,882,571,852,625,017,420,508,698,854,367,316,
637,176,737,737,158,949,253,562,984,008,541,401,770,366,605,270,167,391,717,
191,591,694,395,486,705,959,984,833,611,913,229,446,554,055,932,813,820,865,
133,288,593,852,984,755,334,951,302,963,481,396,745,384,207,131,088,882,858,
359,987,603,214,445,975,562,509,073,270,515,455,932,786,696,967,918,608,606,
220,107,180,274,785,244,621,728,053,982,543,213,949,316,966,688,356,806,154,
709,952,702,862,536,325,440,907,139,633,378,959,512,258,084,324,543,029,777,
101,365,184,572,972,824,136,684,394,201,549,140,186,483,089,157,121,422,639,
621,605,459,882,568,472,623,593,243,987,952,082,052,826,788,469,986,246,592,
542,444,684,949,190,493,310,252,907,889,366,297,735,484,263,752,917,509,510,
345,232,675,127,529,691,323,514,633,850,383,549,813,140,775,371,169,236,477,
393,122,865,816,687,539,625,192,765,094,746,956,577,318,264,612,530,828,832,
665,189,296,044,850,013,428,368,033,509,050,789,262,877,333,910,010,138,355,
621,227,134,373,552,586,082,076,384,798,082,593,008,421,777,916,465,790,473,
475,015,705,536,301,299,591,257,039,513,300,564,923,591,121,200,853,308,610,
470,350,282,007,841,298,736,944,929,493,903,536,949,740,021,227,804,700,948,
670,536,207,170,150,205,451,533,817,104,038,256,740,502,611,142,253,817,699,
014,994,897,380,621,026,137,492,644,021,576,255,867,120,974,842,453,344,694,
998,706,366,873,953,289,535,454,558,027,336,653,680,069,793,479,111,039,906,
877,045,531,672,807,319,230,071,283,833,230,254,133,644,759,948,743,129,666,
071,862,724,620,649,699,667,411,476,351,364,418,290,281,856,835,585,802,904,
266,040,168,381,313,367,054,984,690,873,922,371,185,421,413,017,223,013,635,
985,128,904,268,255,440,355,299,481,022,629,965,410,033,681,008,063,185,804,
213,876,296,938,381,333,317,302,066,918,907,582,561,500,779,659,510,470,018,
113,717,527,210,118,455,378,463,467,032,305,691,718,568,833,849,970,418,872,
345,218,378,188,518,730,922,816,896,914,812,782,319,286,517,311,034,597,910,
589,360,587,912,449,423,797,506,365,689,922,980,078,955,143,549,522,574,232,
118,422,125,138,648,835,097,373,052,429,375,432,943,602,752,511,050,225,333,
543,795,710,516,227,382,312,334,192,671,952,709,907,531,264,272,150,587,627,
636,402,948,382,886,677,916,468,997,425,409,332,595,708,752,313,885,534,953,
309,119,171,905,474,368,481,732,689,987,026,764,174,897,907,228,837,918,789,
850,256,151,127,839,743,243,452,694,854,198,910,249,094,108,098,969,564,909,
555,903,732,975,860,785,642,910,335,409,729,431,732,026,790,859,900,832,909,
948,916,603,834,428,005,531,896,571,024,762,893,902,149,501,134,557,835,597,
150,295,593,723,226,691,583,832,284,087,388,233,820,925,109,165,282,183,606,
514,113,917,175,861,850,659,187,551,711,386,958,950,414,372,912,332,062,933,
341,985,158,714,133,452,647,958,513,968,920,411,370,793,010,737,011,281,965,
869,036,699,057,844,462,350,406,459,792,071,491,259,386,874,653,206,541,885,
133,651,066,373,387,044,615,200,189,148,057,980,774,719,478,137,437,999,746,
112,752,561,426,994,894,915,818,215,872,293,167,970,487,453,269,284,850,066,
402,417,523,637,188,155,893,390,177,346,090,931,194,622,873,419,090,119,943,
080,814,860,257,996,410,962,544,624,443,584,441,246,064,462,770,362,022,732,
736,191,195,659,619,030,304,155,156,348,980,342,128,046,655,264,794,729,856,
769,801,489,620,581,970,203,718,652,054,842,433,896,650,859,958,201,587,885,
437,064,387,075,947,515,475,451,685,370,475,534,854,683,862,694,432,341,601,
169,150,461,144,353,104,391,660,297,286,845,021,409,138,046,658,463,065,030,
263,788,943,460,886,922,091,239,417,780,379,712,371,378,635,336,292,366,251,
727,719,565,415,936,710,131,161,925,697,347,996,548,010,593,480,586,081,142,
885,411,390,713,294,891,875,609,998,336,388,236,281,361,212,394,314,069,713,
095,995,028,939,461,640,769,154,410,903,003,239,575,862,021,058,036,554,584,
796,599,946,337,996,363,317,184,066,577,124,062,056,126,328,453,111,221,671,
368,069,054,203,421,425,420,384,687,536,059,035,393,551,788,011,569,871,952,
814,032,719,585,822,689,603,458,309,186,978,533,260,815,252,108,280,168,028,
911,185,587,618,995,790,059,798,254,023,646,857,596,976,419,238,724,201,467,
826,481,412,076,463,432,682,868,121,717,062,724,952,100,231,679,323,077,958,
671,885,563,637,000,511,643,681,767,317,245,877,264,840,091,554,536,085,110,
154,087,680,085,262,168,985,887,009,966,247,890,569,305,395,772,908,458,510,
777,478,447,433,304,864,615,903,550,944,661,289,518,512,516,056,758,033,240,
232,583,611,151,254,867,456,555,727,185,084,709,258,432,844,286,294,182,666,
456,834,070,040,952,077,221,203,794,678,916,969,365,312,078,634,653,281,479,
546,869,840,497,502,521,819,393,544,116,833,217,274,642,660,159,730,421,151,
841,358,599,808,885,269,010,317,648,302,419,548,927,858,864,894,803,297,751,
965,483,225,359,996,766,548,946,461,161,175,953,306,565,646,369,768,383,953,
296,962,059,557,419,752,331,989,695,932,926,809,041,012,815,317,245,841,968,
262,566,946,662,100,743,788,622,102,823,392,303,642,923,510,915,385,201,022,
840,460,905,367,462,304,972,867,343,430,358,677,820,062,865,851,906,139,802,
073,489,153,645,431,266,511,670,537,762,653,275,618,858,774,395,392,787,258,
667,732,479,006,233,522,334,897,925,705,032,228,560,440,557,607,211,022,964,
027,590,139,590,995,955,103,877,040,547,055,017,290,420,268,091,790,295,071,
096,287,864,988,677,169,895,553,032,738,511,834,100,104,875,182,838,469,150,
321,036,328,098,820,711,866,371,016,643,481,052,726,415,709,443,937,193,122,
714,341,319,690,890,410,311,628,205,184,769,232,612,988,813,739,767,511,724,
710,335,422,821,365,120,338,360,741,004,154,252,118,006,719,778,419,795,111,
482,779,885,804,041,483,413,758,266,633,042,642,291,816,143,651,468,139,821,
474,745,997,325,990,445,110,138,508,793,082,171,013,042,854,451,040,763,959,
574,183,729,093,602,408,986,209,093,464,028,618,314,195,082,914,650,437,987,
364,004,841,537,339,005,167,272,082,538,534,133,061,244,831,875,547,855,673,
109,017,235,977,856,512,685,665,594,509,190,405,948,739,691,658,440,359,375,
534,352,738,262,848,907,046,992,973,520,444,987,654,914,494,730,581,023,766,
099,871,926,272,280,788,299,290,504,443,115,760,657,320,579,823,751,879,383,
785,659,848,527,505,818,643,618,887,377,711,801,293,437,197,902,085,558,812,
480,515,135,457,852,709,999,488,758,656,662,211,107,349,142,322,743,471,557,
304,713,552,972,937,880,632,621,502,887,793,410,383,432,286,059,736,574,235,
719,878,985,207,577,226,748,173,238,890,750,697,556,901,498,618,883,602,058,
580,513,972,905,238,295,156,296,967,337,024,977,132,549,199,780,179,021,465,
286,886,222,154,350,111,253,661,472,091,614,590,103,387,769,882,447,950,351,
891,174,196,674,782,128,551,875,330,365,476,564,306,000,945,653,961,730,826,
430,623,530,412,167,855,817,625,838,128,048,514,662,394,093,198,451,247,863,
443,700,114,228,776,842,979,311,253,878,414,705,045,934,539,572,279,498,772,
001,368,077,045,590,014,776,211,748,816,003,375,021,098,534,506,128,394,316,
003,584,496,735,979,920,479,153,931,437,906,051,674,507,797,452,738,644,395,
560,008,584,605,461,339,617,515,170,563,563,795,444,527,408,899,853,665,029,
113,836,513,321,470,311,832,578,232,622,630,170,572,860,487,806,304,474,729,
927,360,821,655,336,473,489,616,244,959,364,208,373,092,277,223,110,389,154,
987,686,697,309,118,153,957,379,976,821,910,405,042,952,151,326,073,813,126,
839,884,774,126,713,760,313,269,575,756,621,465,736,630,086,392,719,906,285,
853,528,191,151,360,801,327,425,058,141,690,336,778,445,154,522,728,630,277,
625,529,664,941,285,432,780,502,547,321,847,465,312,630,313,883,088,369,555,
974,613,606,411,378,031,204,591,583,585,968,553,006,543,559,712,598,121,118,
691,983,459,629,581,126,357,631,029,005,542,172,644,704,740,164,939,578,455,
272,371,641,719,040,719,651,467,623,685,685,531,208,930,231,255,326,783,652,
301,472,766,313,058,835,404,637,269,172,038,155,431,031,257,795,125,319,539,
328,557,008,327,846,987,349,138,575,469,035,510,601,228,380,664,655,757,544,
136,587,596,045,198,733,166,235,123,198,616,890,972,039,117,398,119,310,432,
471,232,987,321,277,534,851,956,507,929,030,665,473,908,028,105,041,223,546,
156,893,244,562,299,708,322,214,428,292,550,444,650,183,603,226,612,731,319,
469,002,711,396,502,430,509,628,695,522,998,624,448,604,569,495,019,456,959,
146,389,017,912,973,458,744,535,762,244,317,106,880,517,614,555,669,390,789,
270,257,170,683,391,368,150,491,594,703,990,885,858,036,093,729,862,114,389,
864,110,684,873,559,919,470,541,515,118,116,219,309,706,456,591,264,880,589,
768,250,811,182,749,064,702,921,022,440,512,901,008,211,386,098,863,463,898,
290,666,817,084,789,764,043,585,823,775,900,732,137,858,198,355,445,984,828,
310,066,364,439,638,789,942,545,138,780,839,899,740,860,727,382,437,941,594,
125,368,827,373,252,889,460,965,034,752,478,104,492,434,364,013,259,906,790,
053,614,928,580,650,636,343,073,054,673,294,847,380,348,915,561,882,987,039,
647,286,406,459,567,575,883,528,954,701,582,461,127,877,694,665,588,667,572,
306,647,863,650,432,379,105,062,071,696,806,560,875,213,333,258,901,259,832,
545,803,215,671,415,854,080,838,233,065,274,782,882,323,334,286,470,033,742,
823,596,250,090,806,965,222,077,889,066,499,424,933,448,004,113,911,224,283,
591,292,513,353,310,489,143,620,442,136,603,577,867,844,246,296,604,720,030,
168,977,884,212,768,036,823,081,675,009,622,721,677,675,466,882,530,332,162,
498,078,964,704,943,785,010,965,858,701,809,044,760,587,379,832,620,834,656,
264,706,496,593,654,486,059,456,934,350,963,265,906,754,382,295,369,513,490,
086,615,021,040,895,474,475,742,229,485,183,051,386,464,953,467,550,697,459,
453,709,772,299,420,461,725,289,460,736,016,600,975,758,702,334,202,871,719,
052,103,782,014,723,120,285,354,714,418,308,887,824,555,539,569,880,727,406,
490,616,140,186,302,892,880,469,308,694,552,857,242,026,613,635,053,699,402,
017,549,307,594,591,017,659,632,149,063,633,845,158,856,929,198,454,863,860,
549,867,269,228,447,972,956,151,537,137,453,396,487,522,928,818,875,295,412,
348,873,681,871,709,696,246,382,556,709,380,309,253,892,976,644,001,336,568,
886,664,192,789,551,962,481,657,206,727,295,288,777,071,850,308,827,675,541,
888,530,372,571,658,024,495,999,365,915,939,591,650,938,681,742,780,199,740,
844,680,620,423,500,686,551,394,051,255,645,273,872,528,704,930,857,405,916,
641,884,023,402,646,354,854,538,143,836,329,990,227,518,692,935,804,836,866,
523,555,353,192,740,916,224,503,733,111,500,681,201,690,384,729,290,479,761,
309,084,252,163,210,092,606,214,433,431,775,349,708,823,612,077,543,631,961,
688,986,047,568,532,933,661,579,718,363,752,201,722,604,947,190,056,509,907,
501,024,094,381,891,610,169,220,318,772,548,799,569,675,112,459,576,361,866,
230,794,715,651,041,141,530,066,061,306,396,038,114,324,591,475,270,063,270,
839,582,393,134,991,272,907,367,636,231,613,202,710,110,624,715,956,705,912,
029,334,045,055,749,811,617,162,117,683,190,875,370,743,160,836,327,975,629,
268,919,203,701,041,652,625,237,347,610,711,282,455,611,961,327,636,770,539,
911,900,447,562,768,734,232,142,181,305,746,718,333,081,262,580,075,304,796,
803,600,445,985,848,355,871,643,126,718,224,314,946,605,334,487,961,447,367,
493,934,285,118,369,088,713,486,091,134,284,150,713,405,529,939,168,005,354,
764,170,254,064,003,658,716,548,955,896,222,111,224,743,916,101,764,314,949,
289,543,557,250,459,573,015,502,235,369,416,442,462,233,652,282,658,711,808,
123,678,476,512,490,627,022,354,274,487,668,596,943,415,874,950,057,120,092,
761,217,275,047,986,476,506,520,176,243,083,355,668,070,654,255,331,943,774,
493,692,081,823,061,470,524,313,031,610,910,303,635,512,787,506,660,066,685,
640,230,215,373,689,342,510,015,694,447,228,500,832,601,755,907,031,174,524,
399,721,964,462,331,358,625,348,979,600,550,890,968,324,303,645,148,668,624,
895,500,642,674,870,076,595,027,449,336,619,236,022,754,872,906,006,630,647,
340,485,731,476,628,672,831,008,706,954,247,801,922,260,045,120,300,790,173,
432,095,577,220,018,824,682,624,571,448,092,526,835,708,715,070,827,220,769,
662,858,145,554,741,838,747,140,250,935,524,393,357,540,232,304,957,634,786,
868,044,878,130,620,204,647,274,577,625,891,271,873,288,694,650,003,249,760,
705,366,696,252,403,546,616,544,322,662,878,160,594,023,648,935,840,371,499,
598,570,936,570,003,702,708,847,902,411,906,661,530,498,488,957,904,415,514,
161,289,008,225,513,103,857,062,552,974,476,191,689,208,320,395,725,161,099,
424,567,506,467,235,554,296,467,386,676,834,001,095,317,713,732,777,070,249,
197,937,549,084,595,484,407,335,961,668,435,070,815,558,692,921,873,549,383,
849,475,307,181,464,102,445,332,599,437,651,855,632,712,251,130,279,848,246,
940,436,118,959,153,939,575,557,812,923,951,286,751,142,073,590,948,035,640,
229,688,701,788,857,227,532,532,921,611,438,916,225,830,939,783,340,048,039,
974,437,679,958,799,967,099,221,248,195,768,540,850,562,446,722,263,850,005,
019,190,794,443,452,535,833,277,835,635,402,400,976,356,425,712,807,755,925,
005,889,949,855,581,713,649,200,293,886,262,612,507,509,642,737,595,352,449,
353,075,156,942,526,308,703,787,595,158,267,495,681,863,873,195,848,676,358,
309,882,061,699,435,834,068,266,744,546,010,765,141,871,905,116,057,564,731,
017,368,016,493,349,294,671,663,942,026,472,616,752,307,884,514,864,446,169,
638,468,310,167,230,572,174,975,213,287,354,433,133,400,067,509,109,891,380,
153,633,277,115,445,266,715,589,663,775,177,046,659,497,409,748,236,594,800,
661,392,802,161,494,167,065,503,354,831,742,637,836,521,620,292,141,059,537,
093,418,987,843,147,649,874,454,087,293,205,810,184,747,478,177,235,448,890,
382,822,331,520,775,578,727,965,846,327,221,978,264,531,616,636,296,368,619,
390,480,282,103,028,683,829,949,990,726,377,597,877,002,852,238,289,251,974,
326,030,040,500,897,559,343,772,122,295,176,669,129,244,081,783,659,662,271,
505,704,112,610,625,239,234,628,040,957,632,734,950,431,721,823,422,375,836,
051,660,823,165,054,304,981,406,085,151,800,567,387,757,416,422,783,626,258,
903,439,114,668,882,812,132,133,830,166,798,091,697,381,178,353,442,337,378,
646,557,599,888,463,120,289,588,322,470,728,213,523,136,328,917,994,327,292,
336,941,282,854,204,152,737,544,580,270,124,098,435,949,367,131,987,079,881,
156,441,697,221,011,204,756,549,914,694,650,660,102,829,383,963,093,233,346,
357,057,431,571,093,140,119,079,145,020,968,146,811,236,443,299,229,019,232,
835,663,332,564,228,961,916,451,008,590,636,971,950,940,719,412,770,101,673,
330,837,277,070,141,021,863,831,101,480,465,601,632,665,335,631,212,877,423,
690,344,176,073,812,880,539,012,985,032,628,168,951,029,769,264,107,640,253,
600,700,203,361,376,318,092,192,608,714,410,004,367,503,016,544,743,681,753,
042,356,233,091,688,416,820,532,721,524,192,053,316,731,494,561,428,630,061,
952,455,039,798,060,314,604,585,643,044,863,605,169,006,421,026,363,113,706,
245,609,402,485,197,228,218,746,628,536,840,893,104,542,601,376,654,454,812,
085,860,841,097,130,375,497,092,636,381,416,681,718,154,727,221,582,587,334,
398,155,259,873,632,790,461,750,493,250,978,154,707,950,196,321,543,272,730,
300,723,110,320,988,019,635,364,434,843,606,058,295,032,597,967,507,161,427,
738,923,792,987,644,954,902,523,217,988,107,101,788,189,365,228,203,481,906,
176,021,510,374,811,376,145,523,342,626,627,245,493,348,583,793,105,551,987,
759,832,448,492,660,127,571,902,914,899,166,444,866,452,228,290,546,872,778,
927,579,480,350,060,254,126,413,314,087,475,393,695,110,136,738,914,767,013,
669,384,396,537,516,339,330,898,325,821,437,253,889,008,258,966,135,399,661,
066,227,914,554,578,094,203,112,911,069,465,177,509,257,027,599,392,044,539,
330,533,095,662,012,763,444,023,430,669,367,911,147,731,169,118,381,490,340,
994,166,700,734,786,870,835,944,833,253,716,072,155,015,991,658,216,758,264,
932,205,135,105,014,796,390,650,275,694,799,604,224,594,728,396,976,639,243,
989,486,351,814,205,234,456,180,698,467,511,713,514,922,927,944,188,467,348,
477,803,318,760,743,387,672,047,773,853,721,650,109,985,659,249,181,583,609,
614,191,889,041,506,079,989,096,120,937,062,890,209,904,487,895,411,042,023,
771,047,640,387,141,913,384,890,655,447,146,331,880,846,952,408,801,164,369,
677,626,818,854,549,207,058,621,936,255,185,988,390,403,472,077,374,593,458,
996,893,348,670,619,641,478,110,946,971,117,271,357,069,485,618,711,947,027,
297,420,671,091,351,051,853,216,823,277,680,993,040,888,437,222,606,468,748,
400,954,875,515,405,833,736,934,621,211,460,268,488,345,123,259,760,349,064,
931,450,492,976,670,744,970,297,627,659,486,675,057,446,919,053,126,394,977,
869,127,579,764,315,110,355,063,862,847,613,431,227,539,664,367,681,363,938,
709,345,194,244,350,072,508,446,090,943,034,580,832,517,135,055,341,355,478,
829,115,384,286,367,423,139,959,734,081,765,077,048,629,837,257,927,835,517,
932,910,620,230,011,570,366,090,062,954,126,616,914,332,124,641,777,048,935,
239,963,229,833,886,269,411,297,047,019,274,175,149,112,279,678,897,977,609,
827,994,575,661,646,714,442,516,126,181,535,871,425,451,270,317,974,985,114,
390,445,471,041,641,177,841,470,430,983,267,166,139,609,529,347,390,981,974,
276,925,048,709,741,831,821,935,396,098,599,511,324,102,791,326,120,857,234,
052,542,877,820,881,383,968,661,014,595,329,215,117,773,570,986,609,115,291,
489,091,462,930,700,743,316,097,846,995,754,618,994,214,969,055,306,565,258,
149,899,403,760,996,944,424,430,640,251,521,318,994,402,915,123,477,495,213,
095,040,597,734,052,388,628,204,974,361,407,787,271,183,573,925,431,934,347,
778,956,891,250,004,347,246,156,443,902,312,498,598,847,342,143,075,511,207,
921,369,344,496,054,493,368,094,562,378,334,633,756,958,931,621,703,812,459,
792,571,183,795,697,827,975,653,111,813,199,579,774,366,724,449,373,920,298,
641,211,752,629,654,453,141,552,281,268,386,225,321,050,200,510,948,395,566,
663,039,256,922,232,118,076,930,106,621,606,759,130,250,214,056,407,003,789,
200,741,562,147,885,943,951,527,788,256,815,413,453,116,087,279,783,906,675,
154,698,325,940,643,754,992,794,598,859,620,256,848,576,556,848,039,900,050,
266,060,740,539,385,480,196,392,754,206,748,288,270,745,860,514,373,037,483,
566,658,848,130,038,249,270,098,571,948,094,739,973,629,014,798,278,466,690,
896,362,549,235,142,758,235,765,750,251,252,686,232,839,851,393,219,529,984,
127,647,997,838,648,935,437,359,691,355,113,502,712,475,646,586,634,521,596,
353,584,288,738,625,744,643,133,899,228,973,480,761,990,615,020,514,793,174,
461,167,972,629,088,936,467,051,674,388,943,522,247,470,619,590,827,294,712,
576,066,414,141,740,211,530,086,538,729,523,650,895,671,192,899,735,081,536,
260,181,139,569,971,579,169,601,534,739,726,861,922,231,885,835,055,955,181,
238,129,887,649,615,489,820,024,704,313,960,827,247,584,368,848,063,004,963,
029,755,567,708,700,879,323,758,954,399,324,040,425,256,850,015,638,071,263,
424,485,112,322,346,791,240,989,533,912,192,119,258,391,637,139,636,044,558,
791,092,547,902,270,741,671,311,134,662,257,061,053,776,372,177,225,974,319,
269,966,920,201,713,544,145,056,547,770,938,229,430,905,855,804,749,352,987,
178,700,875,163,599,528,519,185,096,694,618,592,149,951,041,990,980,900,777,
480,916,803,597,667,688,004,161,852,188,139,712,754,534,323,281,600,159,602,
067,861,808,679,720,577,971,287,345,758,179,045,208,205,193,330,555,281,127,
847,745,624,950,974,457,846,731,551,147,419,995,633,667,421,091,832,250,035,
640,336,497,034,194,549,580,946,665,604,643,896,403,289,949,375,281,384,044,
819,019,773,209,504,050,942,573,726,916,113,321,457,029,861,401,812,107,304,
002,454,280,162,541,552,302,852,072,710,338,764,348,036,925,090,977,235,809,
753,351,058,279,976,840,431,566,480,938,552,535,745,682,587,360,213,114,298,
715,114,975,031,693,555,935,124,295,899,800,263,059,204,791,405,500,804,239,
410,421,440,766,093,168,092,915,366,503,029,722,070,222,607,812,857,819,967,
952,742,004,661,082,933,772,352,610,251,918,174,561,814,273,700,764,279,361,
747,241,947,073,273,765,686,179,101,956,991,789,728,729,275,864,280,651,421,
996,240,184,546,481,248,464,324,364,109,812,074,194,178,532,657,051,670,880,
575,142,439,572,036,329,419,945,912,123,441,162,736,048,254,320,514,473,371,
498,516,061,151,727,787,322,920,089,191,014,414,366,192,343,807,560,070,509,
968,946,537,182,575,312,775,465,703,131,432,385,792,746,281,077,528,118,820,
087,303,651,433,721,134,483,604,193,263,743,056,105,833,916,352,792,734,872,
893,368,708,196,960,008,246,056,306,144,473,343,331,801,442,898,583,959,823,
105,249,538,900,452,143,297,383,326,579,531,634,274,581,392,914,534,038,118,
204,107,187,410,935,015,325,812,659,049,074,025,455,284,055,860,280,340,985,
150,492,657,317,043,283,228,563,608,164,263,341,121,078,555,955,170,464,733,
892,689,831,330,690,966,456,421,747,605,768,917,225,199,674,498,449,972,715,
231,735,654,205,613,922,376,838,751,047,715,395,652,793,951,942,251,021,136,
331,805,049,891,318,498,435,434,990,099,269,228,569,755,890,324,672,345,956,
515,437,051,203,794,630,937,108,063,305,359,804,107,538,881,641,907,359,828,
118,484,563,246,961,988,338,963,395,382,851,458,399,143,822,655,058,225,857,
026,527,081,460,026,919,825,553,721,479,757,210,646,785,067,156,160,412,914,
886,599,132,903,374,012,880,684,537,145,179,467,531,742,554,102,505,001,523,
635,574,306,039,927,611,157,094,438,724,546,525,465,557,842,561,943,995,261,
893,191,964,611,823,990,804,955,526,155,346,669,503,857,093,428,743,098,116,
200,708,763,958,485,790,244,804,967,056,798,933,963,132,522,084,969,345,522,
089,294,182,010,952,190,154,537,484,503,884,027,482,994,560,186,761,177,699,
989,175,479,818,096,283,438,911,230,091,822,775,578,539,819,997,893,661,621,
309,756,365,821,368,829,496,218,118,815,867,491,700,589,250,903,971,166,327,
759,938,596,087,340,801,383,026,227,308,449,624,747,346,582,436,137,998,893,
007,690,436,046,821,058,692,870,859,531,833,719,596,328,346,179,253,510,127,
837,916,988,273,428,293,447,149,651,487,774,252,694,631,997,070,612,331,557,
417,250,524,719,546,018,529,889,180,129,820,537,619,670,665,034,123,523,632,
267,709,230,265,962,982,465,879,516,917,451,935,318,135,249,342,744,722,316,
433,290,883,972,135,299,708,152,332,933,441,676,452,700,931,998,737,925,297,
441,800,681,165,379,862,359,740,090,800,893,652,330,708,960,919,398,915,006,
240,081,325,455,894,938,167,138,276,021,239,197,384,810,959,609,082,127,223,
398,539,826,264,498,244,697,438,171,849,890,296,718,813,168,834,019,351,389,
243,201,586,382,493,564,585,294,889,000,374,070,518,285,101,467,992,663,806,
926,672,475,786,084,776,177,841,923,261,467,468,618,901,937,327,263,344,200,
643,724,746,671,624,749,301,470,563,377,905,995,083,622,659,178,178,910,268,
219,614,249,232,544,955,491,344,083,060,166,578,751,909,414,022,030,807,134,
886,605,027,152,855,728,632,987,323,632,122,047,545,413,464,253,512,318,989,
225,144,045,046,128,910,049,648,980,492,679,142,445,978,953,286,461,769,922,
012,744,003,874,266,480,138,960,194,234,752,202,209,866,363,017,254,731,889,
717,832,770,613,709,122,800,801,038,526,316,869,457,085,040,677,175,770,953,
059,525,554,909,305,526,248,538,728,691,602,717,582,072,148,508,151,971,401,
401,558,298,901,131,818,728,205,016,776,275,733,219,545,781,912,353,755,844,
831,564,575,260,178,533,044,961,529,953,988,652,135,690,590,513,814,549,242,
914,606,473,556,482,371,010,603,213,611,203,469,880,635,575,647,613,588,550,
907,792,534,719,997,679,941,228,974,149,398,984,357,058,161,206,440,155,376,
141,773,091,372,888,571,472,169,013,268,161,613,790,329,968,200,664,217,304,
826,190,099,251,249,630,859,723,061,186,033,658,343,409,286,104,015,738,339,
772,452,460,173,272,001,997,895,868,252,424,161,574,406,940,189,479,919,246,
837,546,272,210,141,766,218,624,548,610,274,949,824,875,477,405,124,661,561,
592,859,629,291,022,746,850,725,811,353,367,251,561,899,601,486,490,421,556,
645,638,792,203,637,667,120,773,727,424,494,891,370,438,627,524,826,359,023,
849,662,889,803,669,561,310,458,687,176,456,455,318,131,225,595,773,370,092,
939,006,560,549,815,402,005,620,127,814,046,410,295,026,724,204,277,871,176,
429,398,933,499,798,363,285,096,777,922,651,922,443,053,878,463,785,882,073,
162,722,982,156,921,738,544,102,484,474,744,365,268,269,272,287,333,247,492,
619,900,683,212,761,154,619,750,769,242,920,368,031,733,135,943,008,741,361,
712,948,558,029,510,141,447,511,255,085,376,702,445,341,704,073,295,281,136,
582,946,663,545,289,279,375,204,325,192,046,868,078,161,841,893,201,939,293,
746,699,678,398,506,470,030,995,135,574,285,078,646,923,016,603,487,031,487,
188,601,804,731,584,703,092,729,202,912,045,437,961,432,881,420,291,798,978,
140,430,806,368,601,282,016,188,370,743,357,219,908,930,239,483,246,437,335,
506,572,430,709,321,011,635,367,796,076,116,440,376,030,266,919,441,461,481,
074,062,629,419,871,682,241,807,492,578,345,935,670,714,597,752,078,645,733,
202,448,878,076,351,942,164,842,708,062,865,851,461,893,118,902,928,613,247,
967,836,547,005,837,504,728,827,016,793,212,992,473,584,774,359,309,536,678,
081,292,886,023,086,579,248,794,094,824,423,494,603,480,710,899,501,033,633,
042,808,115,250,661,862,443,463,460,887,115,795,635,932,307,371,875,276,533,
382,762,802,993,591,319,838,401,921,150,854,155,162,000,662,469,685,225,394,
531,696,753,979,009,104,355,441,179,110,422,272,773,600,750,732,146,122,360,
515,457,280,375,380,167,049,884,303,572,930,358,865,574,997,418,897,527,892,
538,158,535,271,654,749,423,644,195,428,904,288,942,747,631,940,018,413,416,
992,544,061,105,874,078,192,639,159,696,556,276,854,678,191,193,741,538,811,
022,524,148,469,409,227,305,286,240,788,819,479,726,688,944,825,032,815,117,
158,266,723,596,110,655,076,627,952,150,428,966,829,824,737,747,971,894,960,
915,585,481,203,927,259,967,557,457,264,995,406,392,223,629,788,686,678,190,
649,083,984,647,151,427,679,770,693,293,954,480,845,052,785,731,599,912,187,
798,662,670,124,454,925,693,044,490,048,146,986,053,468,757,277,642,027,443,
710,807,247,143,103,034,924,127,863,453,267,094,383,279,799,190,992,063,538,
670,479,143,957,518,890,898,466,994,698,778,006,585,002,221,416,809,455,266,
451,941,945,937,190,527,460,713,897,370,457,544,772,856,839,374,149,503,703,
600,965,878,441,903,349,979,891,993,692,098,293,101,156,149,489,267,203,570,
958,538,255,966,351,438,634,759,195,413,077,954,643,139,130,621,047,296,622,
258,120,016,185,147,294,956,835,178,277,319,079,701,836,545,114,435,669,652,
524,985,881,678,940,490,399,054,263,721,696,438,561,107,169,719,917,214,379,
368,055,881,120,086,664,439,503,330,362,898,848,119,074,978,242,880,152,932,
510,988,794,887,538,558,904,551,586,347,216,542,634,945,015,818,273,490,210,
144,237,598,605,823,224,185,135,471,342,702,287,733,005,486,289,766,983,775,
151,330,400,350,747,355,359,626,794,678,169,646,346,599,917,438,988,994,687,
730,262,832,648,196,907,608,654,965,574,862,590,316,174,551,696,811,029,208,
570,194,950,344,818,349,058,363,717,618,771,110,828,319,873,878,639,204,463,
309,413,676,470,129,360,334,731,175,645,272,711,344,035,606,477,948,341,145,
914,457,373,448,890,970,961,522,210,494,973,148,118,000,057,705,103,486,689,
188,599,231,243,488,558,329,399,816,341,554,572,177,161,567,752,531,617,948,
993,385,776,739,969,891,086,773,289,912,861,923,667,218,809,422,502,662,589,
641,554,661,697,695,702,998,414,540,343,551,350,216,858,484,598,403,479,937,
605,372,027,789,726,720,874,122,711,198,465,044,399,427,594,235,095,378,242,
015,974,998,117,266,851,025,738,297,520,146,841,305,905,495,749,124,058,466,
175,428,123,445,955,795,617,517,209,982,518,718,081,066,247,599,088,907,355,
179,175,249,158,765,005,591,082,972,812,169,884,819,888,705,024,351,164,793,
510,957,447,746,442,221,179,757,400,418,340,973,590,853,572,567,325,380,250,
963,767,611,129,737,544,597,747,296,051,524,802,253,356,247,867,834,749,766,
224,520,849,478,841,127,596,717,408,215,040,656,080,591,058,476,089,703,469,
626,310,870,080,503,410,551,697,103,420,767,786,549,023,924,036,510,100,758,
298,328,121,918,850,241,429,869,689,072,977,946,999,963,445,892,929,236,033,
912,023,624,470,992,389,929,648,466,258,773,153,867,533,705,901,126,712,249,
659,676,093,946,704,309,969,572,741,113,326,551,039,564,345,935,888,373,147,
471,183,667,533,777,317,437,037,161,078,615,537,951,250,065,709,676,090,121,
711,048,371,068,428,668,584,250,639,675,113,688,282,566,437,477,247,290,593,
140,830,226,555,240,650,078,471,531,496,664,256,959,727,032,258,815,580,381,
801,804,452,325,012,202,073,545,207,042,930,518,544,896,171,465,406,582,258,
309,520,220,877,725,719,800,593,353,395,230,860,497,890,263,763,663,897,806,
400,922,254,459,169,530,502,848,553,408,068,464,928,457,662,410,527,296,089,
349,581,944,023,648,540,848,888,295,070,821,492,723,584,629,016,871,689,299,
466,658,924,883,351,997,512,943,890,366,151,648,168,214,822,677,547,097,716,
534,769,185,866,543,340,858,428,417,150,949,021,821,389,968,139,388,922,792,
081,013,195,264,512,820,458,673,082,528,948,342,762,928,532,029,350,538,736,
882,380,090,706,709,481,964,172,110,067,601,565,236,295,592,353,077,545,718,
710,158,359,910,202,100,262,495,203,721,653,991,014,079,078,033,733,897,489,
045,018,461,982,647,807,119,668,496,000,193,134,309,099,535,432,036,507,404,
741,978,049,182,525,964,389,895,989,010,106,058,609,461,060,610,817,876,509,
522,063,048,888,690,868,983,652,367,602,354,616,745,461,145,635,626,993,899,
641,960,118,651,229,483,985,926,201,535,176,966,050,320,883,503,921,436,523,
753,787,372,868,293,226,956,628,485,095,671,764,433,427,365,482,294,842,259,
607,202,376,291,393,099,701,575,695,181,647,954,954,736,267,587,389,478,449,
941,592,371,223,978,545,549,589,467,991,378,866,781,647,101,169,058,055,061,
179,727,257,473,142,040,452,925,292,989,837,056,575,813,925,861,460,678,863,
575,949,892,546,447,590,068,514,668,489,260,241,181,491,605,883,949,945,552,
368,009,466,114,945,096,219,333,280,966,103,602,517,571,352,293,791,323,504,
195,552,281,660,266,262,980,965,391,730,162,050,420,108,925,402,223,993,380,
315,245,793,923,136,950,735,475,715,113,346,907,448,357,020,541,339,068,886,
805,480,382,292,071,645,620,150,967,061,153,961,250,343,691,568,337,423,375,
829,855,429,486,174,196,257,319,792,205,485,237,665,236,182,513,837,468,177,
004,275,074,884,373,094,831,863,411,933,950,708,208,401,401,670,949,753,438,
824,418,424,743,799,835,462,253,869,699,828,789,625,552,217,792,381,533,328,
238,070,305,785,476,716,155,743,157,946,823,656,653,600,609,085,160,470,936,
882,982,680,211,293,697,058,421,979,294,736,203,629,520,761,537,669,447,403,
735,366,999,884,173,497,559,704,136,673,025,685,060,388,166,208,843,881,378,
814,183,297,331,089,011,002,471,011,640,882,010,814,431,750,348,234,952,385,
418,301,660,895,015,063,762,842,266,505,189,581,021,525,124,619,837,437,898,
973,812,973,781,700,614,304,614,623,866,254,364,032,681,137,267,777,063,749,
259,768,778,607,533,066,825,830,139,471,664,784,552,337,032,660,406,839,422,
054,322,681,413,741,494,097,297,118,816,618,842,059,528,483,730,167,117,937,
261,591,655,017,258,760,384,566,886,963,000,991,936,932,576,207,819,894,125,
505,366,070,523,723,746,489,913,930,657,518,862,306,451,082,247,178,040,176,
982,185,407,306,442,199,081,904,974,094,331,077,283,128,034,049,707,103,377,
528,301,623,844,339,736,114,095,746,185,010,718,466,231,653,369,978,086,844,
206,068,116,513,581,369,446,512,336,736,133,761,716,061,167,696,300,698,334,
897,175,304,485,045,927,765,884,563,943,153,389,729,645,577,717,251,136,150,
514,198,064,928,884,045,328,099,166,926,803,161,226,085,019,317,052,790,547,
810,242,048,510,080,698,306,871,405,926,461,900,610,321,490,013,499,431,428,
574,050,048,588,282,053,936,513,173,217,822,897,902,976,096,251,221,762,256,
952,265,979,336,053,003,849,059,600,528,226,217,775,157,129,946,629,143,743,
409,158,702,299,261,789,612,317,000,924,145,344,653,786,713,923,797,169,180,
938,351,803,981,746,760,912,770,455,275,853,988,521,155,755,253,491,338,173,
139,019,994,643,875,181,264,510,584,243,523,937,821,604,661,980,754,529,790,
601,731,195,185,711,444,014,642,197,080,524,883,516,462,189,134,455,986,499,
043,478,954,204,286,664,783,206,831,090,069,657,936,854,693,769,503,642,935,
266,049,942,727,985,569,863,982,076,232,501,583,082,627,595,966,557,231,516,
180,944,005,394,578,878,107,154,257,360,657,136,570,430,797,297,966,594,427,
376,472,372,436,095,981,907,382,997,468,457,605,800,922,849,673,791,595,111,
636,296,034,095,390,949,499,029,638,844,101,044,082,975,503,901,057,920,838,
820,248,933,486,286,533,193,058,097,511,021,499,241,553,111,938,295,835,006,
481,133,871,145,605,605,983,620,401,358,623,644,581,665,485,916,967,877,911,
412,423,640,668,711,567,893,075,797,646,707,439,030,010,093,346,664,556,886,
896,387,251,837,275,135,084,465,021,570,955,167,657,408,855,876,498,253,055,
958,931,183,618,983,924,471,379,512,993,628,428,012,201,138,932,525,094,833,
509,067,881,506,134,346,242,436,206,522,210,386,568,924,291,801,105,422,100,
767,478,825,148,591,282,362,005,443,564,381,202,234,631,701,825,685,888,046,
519,996,868,124,216,740,009,243,103,584,075,237,117,899,642,047,435,720,333,
209,670,853,975,881,628,809,107,727,995,028,541,519,251,739,109,314,106,547,
074,754,723,978,822,679,973,127,030,993,775,798,442,972,166,851,239,358,124,
331,556,712,592,983,587,587,864,178,375,685,748,460,352,248,459,413,894,668,
895,861,528,564,358,564,092,980,892,566,476,475,356,241,990,128,457,830,763,
964,786,925,360,031,965,817,482,924,769,404,865,833,896,158,594,549,338,599,
104,865,441,918,519,072,934,585,790,932,881,968,750,454,432,309,227,603,298,
109,254,954,959,710,886,031,038,244,931,978,375,484,682,298,665,001,119,098,
437,164,962,029,112,309,008,467,554,604,970,498,350,499,557,904,229,909,449,
938,168,208,746,551,205,142,865,413,541,664,410,303,343,865,116,483,086,130,
263,739,447,399,332,403,447,842,093,809,192,278,466,209,003,696,045,903,715,
297,529,717,011,092,907,245,647,841,010,041,017,356,844,078,607,056,719,670,
088,638,080,474,710,499,296,329,073,587,020,213,561,534,808,403,379,697,315,
189,685,835,307,125,199,890,710,906,963,021,218,059,675,070,310,170,254,831,
310,334,734,427,641,860,183,798,001,064,972,576,077,869,859,150,313,378,194,
146,249,762,817,912,511,444,185,522,476,866,354,169,262,500,329,270,807,102,
738,925,080,218,737,358,119,651,443,146,899,075,907,707,252,155,881,002,302,
381,600,844,335,926,876,645,790,568,203,458,508,819,614,182,361,126,235,452,
242,698,504,138,876,971,324,005,664,694,775,726,919,305,415,229,961,468,505,
900,859,577,669,748,924,869,929,028,735,565,537,716,388,481,058,346,295,234,
516,368,801,393,393,406,065,108,031,838,762,061,450,654,823,681,518,524,130,
217,966,043,464,577,155,223,378,839,759,250,039,222,981,305,180,033,270,596,
364,380,244,627,003,753,392,396,449,306,163,469,082,558,888,655,650,379,848,
525,745,141,422,379,812,615,011,089,516,587,870,580,063,928,395,907,205,351,
400,499,697,043,913,455,398,005,228,695,326,288,925,072,189,580,044,191,685,
108,599,172,313,171,486,286,081,592,002,574,077,024,715,361,423,418,560,128,
255,638,995,246,601,123,198,514,096,177,230,161,128,964,810,857,099,083,325,
703,796,517,720,400,229,641,269,651,325,642,450,496,619,161,932,281,708,420,
654,031,988,913,220,837,981,772,767,313,749,920,529,189,761,992,307,811,180,
342,985,997,201,004,497,858,645,407,400,638,276,936,664,905,240,199,983,570,
201,086,131,943,520,117,519,370,149,948,424,959,017,130,740,342,921,113,651,
784,692,078,652,080,615,544,953,546,417,835,920,881,999,345,128,441,782,166,
257,802,791,680,375,448,265,155,742,395,489,896,532,666,218,374,486,049,712,
967,359,525,728,227,612,727,993,879,392,347,692,603,657,555,411,605,932,282,
158,112,487,046,956,534,224,475,813,100,445,437,804,722,657,276,227,899,295,
640,049,495,456,725,022,012,424,465,689,385,414,271,869,564,575,176,253,010,
603,205,827,520,933,947,171,718,247,315,232,957,324,658,997,272,677,626,749,
982,460,111,539,760,668,862,455,063,762,208,798,928,545,701,394,210,937,091,
944,633,612,656,076,882,288,376,865,031,152,355,716,329,710,409,379,752,451,
557,223,061,665,408,520,915,557,712,125,035,307,627,135,606,290,282,070,361,
989,164,743,867,543,946,858,304,508,331,309,259,621,332,866,992,733,459,195,
921,499,037,590,484,523,506,609,028,267,561,886,249,893,642,084,311,150,974,
622,078,238,271,766,810,526,388,289,475,530,396,730,189,917,676,353,813,801,
288,368,212,471,393,307,318,662,262,387,270,635,272,026,101,246,373,604,597,
231,778,250,845,526,435,645,050,120,686,996,987,949,391,023,817,469,479,419,
548,755,523,854,433,104,985,227,026,181,483,087,521,879,508,886,119,702,178,
805,704,166,990,259,403,557,657,367,579,802,869,590,304,658,754,597,762,776,
714,028,212,295,123,037,621,477,594,857,568,925,946,366,352,302,512,615,473,
136,074,270,259,493,826,202,330,240,552,981,841,979,819,895,556,345,673,572,
603,399,534,913,146,148,290,500,401,864,877,417,492,323,500,087,391,907,334,
566,185,209,434,083,742,779,324,802,980,115,558,372,210,729,896,958,333,427,
992,504,464,363,759,414,430,776,934,177,549,214,811,058,753,607,124,073,896,
128,475,834,349,759,921,722,758,403,057,942,127,369,268,363,729,439,704,292,
348,180,956,814,037,438,454,277,279,685,091,244,939,116,688,071,304,665,108,
455,198,973,059,216,798,602,978,570,157,401,578,009,501,392,836,469,620,805,
767,058,142,399,043,412,321,702,715,699,155,353,455,547,759,244,120,493,859,
644,189,459,016,773,237,784,415,508,037,726,780,868,100,851,150,270,876,804,
288,003,664,158,015,955,651,014,958,508,092,605,719,873,500,394,442,530,727,
903,044,661,675,450,092,128,596,576,812,320,201,234,282,687,569,617,343,880,
418,446,765,743,596,681,360,990,338,789,632,303,424,673,354,661,280,497,865,
046,199,913,283,811,609,465,036,093,835,434,849,778,203,670,674,333,061,096,
241,165,087,039,858,936,836,817,157,030,298,546,098,044,325,538,235,310,519,
272,066,476,759,240,220,698,667,290,483,829,737,243,045,890,008,783,109,004,
610,794,220,453,561,189,465,615,841,495,373,799,332,425,072,989,641,031,103,
117,752,274,390,902,902,704,780,047,284,044,011,444,859,087,104,681,182,260,
843,091,574,580,813,550,161,467,733,971,174,126,542,241,264,069,773,956,336,
218,782,389,132,607,605,087,914,315,865,604,797,918,313,412,956,007,779,645,
219,160,202,642,435,562,951,352,957,331,649,266,270,331,976,905,076,662,129,
695,955,259,135,638,054,301,979,738,337,984,288,303,954,950,236,390,010,921,
145,272,283,522,991,791,079,339,891,562,466,801,836,862,686,470,254,662,440,
354,844,355,120,237,688,735,365,661,311,425,107,324,793,645,589,344,911,699,
534,866,008,387,630,514,451,033,466,263,635,372,514,917,160,593,283,935,994,
521,503,640,127,813,088,932,985,179,627,557,412,040,790,177,280,027,751,157,
676,687,593,607,953,237,235,041,290,079,909,978,658,309,822,963,890,117,822,
654,027,741,891,836,980,112,986,854,087,812,383,638,135,247,209,399,159,849,
096,609,489,650,142,427,046,930,576,710,816,467,592,103,380,132,259,315,369,
553,676,588,739,853,697,243,302,971,974,195,433,304,303,171,031,162,598,187,
894,952,881,084,464,980,190,893,145,879,883,335,705,246,322,169,479,390,063,
630,310,608,220,640,058,746,604,872,371,617,568,098,741,156,156,591,526,949,
855,493,280,205,840,141,786,030,138,923,093,592,616,007,017,586,282,797,366,
843,431,177,081,279,089,576,023,186,677,875,349,044,136,169,163,916,406,729,
693,518,640,272,079,155,232,633,076,831,129,024,537,336,468,985,803,501,385,
336,001,391,783,513,992,968,125,025,387,584,688,716,612,807,709,485,201,130,
783,972,106,744,911,233,838,178,558,407,409,616,149,572,761,397,719,964,756,
826,796,681,673,084,920,600,550,048,214,031,492,462,606,685,206,500,290,323,
694,023,382,122,542,790,612,515,791,105,114,232,293,126,490,844,546,899,756,
534,639,581,940,721,043,633,644,206,260,931,397,202,545,116,191,306,448,049,
052,737,160,066,760,997,477,768,977,497,799,124,850,683,510,150,745,655,715,
196,733,327,668,494,038,177,880,769,808,022,845,354,831,988,450,933,532,309,
811,262,422,817,940,560,875,163,174,935,930,275,013,427,634,233,492,011,166,
566,624,998,053,946,102,863,738,860,215,430,088,975,303,556,811,416,371,908,
013,924,317,707,297,897,227,896,336,402,571,851,696,304,717,700,519,460,013,
012,908,846,394,409,542,018,314,228,410,793,177,582,434,897,267,002,210,920,
850,597,605,390,498,954,871,072,814,460,175,019,419,042,952,668,474,454,726,
005,567,678,120,109,123,747,271,931,611,716,917,528,475,151,137,443,615,683,
984,322,993,565,084,494,783,046,721,428,321,630,314,313,669,627,838,151,901,
895,903,177,002,071,689,088,722,248,415,844,376,055,842,965,302,125,178,180,
670,125,724,976,805,788,225,525,582,193,181,906,397,575,504,480,034,843,914,
243,157,423,549,031,759,258,286,319,349,315,728,065,975,408,882,705,630,493,
287,223,328,468,495,234,119,063,604,925,819,662,053,641,765,456,947,843,241,
970,692,475,359,849,502,376,910,424,545,068,277,604,897,065,633,558,205,606,
601,583,154,320,930,516,431,466,488,136,235,139,303,710,189,970,533,708,710,
268,415,819,060,366,776,000,264,979,402,510,821,622,647,842,724,895,710,652,
464,469,723,299,554,689,295,085,118,662,010,240,432,839,262,333,494,671,464,
128,406,078,969,425,431,875,457,848,065,486,083,318,238,924,795,219,542,394,
660,787,975,302,896,616,294,991,619,673,517,808,532,991,461,339,379,222,676,
076,825,104,040,699,466,644,699,766,065,208,644,114,903,231,184,589,933,415,
005,295,657,420,889,427,762,238,768,224,578,659,706,172,492,049,730,089,752,
500,507,541,841,408,113,029,019,722,455,593,295,108,383,712,760,967,097,444,
785,531,851,385,309,045,752,468,081,526,845,158,328,193,744,297,410,535,590,
730,056,864,611,854,154,355,058,262,781,026,776,963,676,215,014,169,001,035,
387,986,987,406,112,716,878,381,800,258,925,754,742,617,061,329,384,359,439,
870,898,221,914,376,579,707,832,377,712,507,600,969,141,853,154,203,826,974,
420,678,543,096,003,676,405,266,157,475,272,630,874,881,894,790,343,340,755,
094,869,155,096,451,610,263,624,728,121,593,224,231,421,064,194,072,087,124,
508,776,838,625,205,828,982,638,835,832,708,190,067,779,046,111,395,850,460,
551,280,011,394,246,715,225,874,697,980,609,535,811,636,436,796,729,338,901,
559,520,247,291,826,347,060,249,610,868,569,059,489,624,231,407,678,277,983,
615,270,566,238,472,508,644,459,020,391,260,287,485,816,758,529,960,687,889,
981,038,562,613,606,453,910,700,027,384,355,720,242,278,454,441,270,652,655,
211,339,475,825,002,797,929,323,416,631,557,136,718,376,914,920,928,316,547,
388,028,511,252,978,311,929,459,540,438,783,246,363,768,385,470,728,038,012,
673,183,153,648,286,195,532,533,626,514,785,323,861,544,853,541,166,663,532,
061,661,907,681,240,230,458,235,271,110,641,966,507,019,758,573,322,493,996,
706,906,494,659,563,396,014,010,442,099,675,014,745,241,510,534,431,657,452,
963,017,208,480,128,477,933,416,853,237,181,552,536,810,815,402,380,850,770,
261,397,431,276,142,560,583,237,672,136,372,886,638,647,460,847,365,434,543,
254,755,516,679,398,195,327,477,330,668,965,700,722,807,058,470,093,139,632,
138,625,557,150,952,331,150,144,420,263,164,351,794,270,595,717,688,620,561,
080,534,878,734,500,954,963,081,829,232,511,582,510,301,566,719,157,655,702,
388,798,404,640,216,887,754,521,353,813,650,975,664,786,010,707,947,952,977,
261,356,029,477,416,174,377,597,585,483,955,693,758,426,637,102,990,549,915,
407,832,299,817,970,365,496,048,541,489,041,657,568,258,952,760,636,805,944,
615,045,332,657,840,126,065,896,256,664,821,517,757,262,239,608,782,765,928,
224,212,850,036,056,946,444,172,988,680,973,214,718,560,140,486,249,013,163,
286,269,410,883,624,948,745,518,521,497,735,970,669,408,163,044,851,535,674,
332,665,404,075,574,697,699,717,017,736,068,529,572,815,081,275,657,321,285,
184,178,049,161,703,458,840,953,105,546,810,244,942,024,287,780,630,368,741,
848,470,977,457,617,384,724,734,116,566,822,564,819,062,661,955,334,424,950,
312,921,049,005,302,473,629,584,231,717,545,136,637,563,748,337,518,104,113,
669,383,399,033,957,338,081,707,239,924,950,262,692,590,143,392,012,577,142,
482,216,617,835,021,752,530,837,954,107,910,564,852,323,868,172,068,565,131,
583,108,481,016,387,738,692,895,942,917,620,678,812,155,021,869,812,824,094,
740,502,832,498,420,145,124,124,053,343,043,040,334,578,095,981,820,810,117,
049,644,452,694,220,976,877,423,680,896,717,964,531,476,531,511,054,416,285,
583,800,842,705,060,167,162,636,155,816,005,415,037,753,803,124,813,145,591,
186,826,940,631,004,489,490,697,331,107,870,842,157,400,130,645,927,765,901,
878,078,262,493,506,898,835,259,471,298,596,853,523,066,890,849,878,031,538,
542,517,809,640,591,266,486,654,764,041,867,123,538,712,501,754,253,318,287,
669,080,068,962,788,512,585,616,621,020,445,927,493,911,189,582,834,225,651,
451,063,863,799,078,301,684,385,403,360,062,703,830,484,164,452,438,307,376,
607,678,148,401,274,608,713,327,221,399,634,980,136,165,749,093,231,287,336,
063,605,052,709,161,365,276,735,323,728,716,170,346,032,710,351,768,508,125,
863,178,911,641,299,162,182,679,389,771,871,483,438,599,306,063,312,639,788,
460,840,077,403,831,053,326,603,466,052,261,987,462,690,392,924,897,088,774,
585,170,848,301,407,384,194,921,827,453,837,543,398,426,243,288,581,740,301,
480,113,519,614,903,402,059,552,835,362,509,273,589,377,561,029,780,437,246,
218,695,936,771,748,241,431,931,163,767,989,892,043,410,921,700,211,001,516,
613,044,883,893,001,997,789,555,246,761,105,042,035,769,808,428,979,975,110,
546,375,457,092,774,100,864,878,162,370,023,966,341,596,096,303,971,529,354,
406,927,402,238,662,305,331,853,988,747,117,838,699,884,474,258,239,829,108,
585,484,351,050,404,492,294,117,771,807,590,256,974,511,213,986,679,017,059,
898,250,142,600,594,509,522,656,120,775,614,744,493,158,222,503,537,252,120,
047,653,101,132,919,706,945,855,912,549,744,890,484,586,553,532,912,306,312,
077,123,215,045,103,387,283,249,874,410,805,894,738,853,327,447,045,633,857,
183,635,827,544,567,755,766,126,764,280,289,749,955,082,768,657,560,850,388,
394,188,817,360,982,159,285,757,171,962,056,437,662,637,185,168,931,113,367,
300,131,448,368,238,044,801,505,641,222,664,257,561,558,505,800,700,019,804,
671,444,418,996,708,128,644,592,180,042,981,544,832,268,038,730,308,315,738,
377,968,870,185,087,064,231,403,014,798,521,591,864,316,108,866,716,614,851,
859,680,803,413,972,546,114,655,907,389,001,654,083,493,264,771,311,688,924,
521,201,394,509,348,709,253,035,122,722,730,376,285,386,381,489,306,767,440,
935,338,605,364,809,917,091,103,542,251,568,801,437,504,594,165,012,515,308,
322,522,622,268,000,402,552,945,983,458,796,921,984,904,070,468,823,334,072,
291,114,465,282,012,511,847,169,314,221,296,425,313,210,199,222,263,817,409,
151,072,291,088,288,134,678,684,817,289,657,616,132,192,573,581,430,641,712,
124,131,819,484,968,559,576,943,196,204,404,139,659,828,458,118,306,515,610,
233,053,850,852,393,099,565,932,009,081,925,089,988,461,298,490,643,282,544,
832,360,079,244,592,609,958,270,066,324,178,606,219,637,101,800,969,644,412,
156,277,491,942,486,275,664,476,316,138,556,303,162,772,254,238,852,221,867,
440,861,575,966,586,782,056,173,600,947,697,503,481,460,788,732,534,603,734,
564,330,595,081,440,198,586,818,459,963,756,873,549,012,959,971,207,516,989,
312,209,360,183,624,676,383,608,525,927,472,013,537,225,457,399,911,592,353,
752,453,612,006,137,165,379,566,340,619,372,822,579,612,737,142,510,683,494,
221,156,970,471,405,392,795,976,880,145,229,821,530,997,990,367,760,361,263,
967,074,821,042,219,727,195,629,696,145,165,444,334,326,913,673,921,072,328,
198,451,362,948,488,847,114,254,389,474,508,957,032,761,125,610,310,662,607,
113,830,766,791,960,480,935,043,342,734,873,468,594,622,742,750,504,953,060,
042,854,170,534,696,431,115,461,880,756,058,686,042,114,667,333,238,793,009,
783,413,017,599,948,727,982,868,926,972,761,823,471,561,801,480,268,555,521,
376,548,192,370,226,889,289,970,574,738,173,927,247,673,539,435,283,089,882,
203,873,568,981,605,077,678,029,689,495,985,322,435,955,112,207,069,427,206,
466,114,702,524,611,635,228,990,862,948,037,849,407,217,319,386,729,599,087,
038,379,927,676,429,691,403,486,301,373,118,545,401,734,371,849,165,789,267,
792,917,837,116,088,820,183,959,246,697,797,054,549,794,386,984,956,630,085,
305,655,765,366,805,608,238,551,077,795,130,032,241,989,393,401,709,610,015,
566,370,709,195,407,658,240,372,221,045,601,155,907,350,009,823,939,873,282,
444,815,284,070,433,816,831,837,921,521,049,685,103,283,458,625,407,168,027,
824,762,548,023,089,985,066,412,272,654,742,724,592,272,177,097,990,049,105,
552,462,191,983,363,870,351,972,465,042,795,235,069,133,786,404,688,351,749,
175,396,769,002,201,088,450,553,063,180,612,005,178,381,273,428,356,699,848,
507,613,926,206,619,197,086,232,724,027,230,700,196,690,359,884,642,674,671,
690,412,736,839,676,749,348,740,412,034,351,783,933,120,592,920,094,818,900,
051,660,576,260,264,295,903,369,566,823,203,406,710,436,145,809,763,517,982,
358,155,825,069,809,713,429,605,975,443,706,277,100,905,213,827,604,536,036,
377,064,109,594,543,160,889,364,681,405,990,544,378,482,913,322,576,569,115,
003,724,031,753,515,933,256,855,865,141,918,147,714,953,385,800,068,526,298,
295,150,624,816,044,135,647,369,906,983,787,450,393,156,006,388,251,826,576,
932,061,530,249,797,138,839,354,964,709,197,974,683,112,383,735,713,306,357,
335,240,787,581,453,978,839,839,043,850,330,073,354,856,291,692,936,727,681,
801,887,302,522,692,086,573,107,077,657,917,124,922,570,451,261,994,322,627,
063,130,741,745,741,078,911,413,203,554,513,302,878,200,247,729,092,272,353,
966,047,478,493,964,689,269,660,699,881,340,420,308,359,060,077,572,737,444,
706,558,286,815,111,768,619,996,066,584,274,982,163,312,389,758,514,246,707,
616,610,855,896,607,834,418,632,026,135,760,769,896,641,665,323,484,458,415,
570,822,151,280,143,763,762,126,085,117,235,388,883,921,406,392,146,655,874,
020,419,851,446,979,016,121,916,035,305,505,750,131,812,613,712,295,631,434,
220,444,963,000,413,101,260,408,500,436,065,044,794,510,274,961,422,058,655,
039,603,222,701,097,126,307,750,367,265,080,806,466,557,313,056,780,455,672,
995,925,838,750,908,645,559,317,180,805,429,904,720,143,305,595,351,059,398,
580,778,411,904,085,246,021,981,120,917,554,475,382,487,184,541,432,464,242,
298,434,662,117,598,240,914,332,169,417,514,210,414,984,173,521,559,306,850,
832,988,428,597,153,648,663,198,062,830,333,517,272,813,329,149,369,778,679,
644,244,837,067,114,602,486,213,019,865,086,799,407,349,588,692,736,128,744,
003,045,002,107,330,963,766,725,072,878,946,070,642,899,400,267,313,225,169,
003,998,437,049,666,518,544,292,780,382,922,163,119,299,810,198,257,763,434,
404,307,519,432,366,940,818,757,335,887,766,620,836,635,907,026,878,704,146,
481,085,828,413,699,892,035,197,961,177,212,594,910,097,820,166,704,501,659,
743,605,073,559,661,940,955,789,251,452,997,203,218,886,751,899,472,018,085,
578,490,624,528,994,961,074,213,159,242,325,235,336,247,385,073,866,678,009,
177,774,761,953,902,354,253,773,332,646,549,163,555,743,716,307,659,980,840,
743,116,715,844,744,578,537,536,731,546,764,245,675,515,682,526,230,576,356,
180,002,075,355,119,065,612,994,142,712,927,058,129,851,831,748,278,881,149,
159,271,819,308,928,139,360,943,517,506,200,615,932,763,589,094,122,189,922,
337,385,535,716,088,975,472,338,489,634,490,379,140,971,476,890,494,409,247,
028,786,597,650,383,209,270,449,679,554,491,156,234,697,539,220,996,437,783,
648,560,329,127,757,584,856,853,355,722,129,111,401,475,885,583,271,648,634,
049,848,707,632,880,961,047,797,424,520,308,178,825,737,437,741,282,695,424,
642,294,457,507,820,015,507,070,894,766,436,460,385,219,884,701,963,505,135,
315,322,049,497,453,108,266,002,537,109,671,375,133,161,234,500,632,423,921,
892,823,847,143,239,124,875,841,871,579,814,454,630,259,270,506,377,037,908,
161,657,322,120,944,723,659,810,284,914,293,866,700,108,671,120,422,551,152,
219,694,599,265,406,363,362,570,961,669,174,341,003,767,987,623,678,254,936,
056,662,403,791,814,267,506,211,337,565,197,708,478,887,635,399,215,000,798,
538,086,262,981,560,976,470,084,055,917,498,597,446,390,981,448,545,124,942,
044,426,405,717,493,022,398,888,659,842,208,419,634,071,623,557,498,485,598,
877,465,047,291,427,154,689,448,518,265,434,826,110,524,354,213,701,723,670,
423,594,017,852,379,572,751,694,630,101,266,835,700,536,742,526,994,805,958,
225,591,871,865,869,585,082,601,322,537,814,305,606,041,668,057,525,561,251,
263,016,057,085,987,194,711,442,200,996,205,880,500,710,420,939,613,844,818,
518,314,677,578,777,335,770,188,852,244,364,578,398,321,974,603,032,183,215,
306,426,281,627,916,266,886,495,877,542,691,083,258,851,882,626,919,462,624,
780,210,363,766,191,106,131,383,985,881,776,233,931,336,198,333,857,926,767,
204,667,310,778,102,878,861,255,205,122,851,125,836,603,479,178,882,177,137,
781,206,771,029,090,292,427,459,926,658,570,310,843,588,570,440,327,888,053,
989,314,377,067,256,905,402,268,866,816,623,531,243,354,404,517,871,392,111,
375,804,861,235,908,075,021,709,057,449,951,183,617,455,206,780,513,592,518,
116,428,427,339,006,340,603,469,567,116,073,160,807,155,228,894,074,680,689,
983,381,150,626,984,189,483,579,982,738,521,867,234,850,527,794,876,088,489,
192,490,521,009,434,170,362,257,112,138,228,786,871,183,871,433,964,862,219,
156,132,538,486,195,554,402,920,455,133,275,122,260,531,556,364,415,728,139,
304,954,877,597,254,693,382,451,598,953,007,650,261,817,468,269,456,729,015,
258,179,110,533,287,068,293,772,052,683,760,367,584,890,146,853,999,252,851,
633,159,382,937,634,709,125,541,302,543,327,557,578,911,666,869,171,993,250,
254,596,044,373,280,865,843,298,749,300,489,450,568,313,224,528,873,369,625,
214,998,698,895,502,203,457,133,330,645,419,440,636,839,319,721,318,893,154,
221,855,508,699,227,991,332,498,728,461,026,878,966,488,196,675,149,301,189,
792,475,506,278,531,518,420,041,906,723,137,038,500,379,079,615,951,141,364,
245,964,787,399,256,519,148,418,633,828,196,496,134,208,268,111,087,797,734,
175,293,617,211,306,347,375,249,664,965,214,054,002,089,683,055,883,946,375,
028,566,128,113,120,197,794,411,002,486,977,026,362,929,641,149,388,640,184,
858,570,027,589,327,771,786,523,925,461,810,938,076,032,885,924,045,107,975,
958,525,500,008,048,958,776,310,895,385,272,153,101,623,344,262,775,873,564,
237,358,225,482,905,479,900,878,389,377,588,621,087,872,167,933,719,621,200,
484,429,479,205,149,130,555,769,793,979,738,834,423,960,271,209,357,973,964,
917,059,839,780,509,971,193,429,183,920,647,415,456,361,382,504,695,141,661,
855,659,432,871,235,434,351,519,185,263,336,212,297,713,398,072,119,472,894,
160,196,932,277,811,195,594,308,526,638,216,890,677,302,954,226,854,729,276,
588,164,294,509,388,213,483,522,579,557,431,932,689,414,229,782,050,672,839,
949,410,025,162,159,822,087,885,309,337,312,352,861,630,483,321,181,516,468,
717,508,236,961,187,891,563,396,472,691,171,839,713,378,822,883,125,755,348,
357,625,866,658,609,711,695,535,744,214,080,899,754,245,018,244,510,693,024,
552,216,994,109,269,575,168,815,118,343,722,782,369,867,485,422,290,709,230,
961,054,264,743,500,078,464,705,341,584,143,031,558,807,955,227,161,930,792,
632,124,041,454,573,503,984,828,404,119,257,158,547,909,170,546,823,824,235,
675,026,067,968,880,403,538,627,168,920,475,585,582,262,996,296,607,930,055,
201,696,007,452,688,588,584,783,778,469,828,207,153,795,154,695,555,449,327,
934,464,091,793,262,425,978,120,702,799,643,939,319,702,611,200,986,373,562,
949,312,106,325,960,117,002,482,658,772,731,490,794,871,693,517,657,202,754,
375,781,318,058,149,376,373,707,897,866,064,300,234,581,938,901,924,432,437,
855,376,970,162,731,282,815,703,219,113,080,534,937,043,973,471,286,892,590,
580,445,681,844,069,210,766,416,755,943,567,921,795,134,165,286,140,169,254,
545,615,547,212,520,550,267,931,289,353,690,516,608,611,837,739,165,744,849,
622,450,229,862,555,497,681,937,689,689,066,305,895,113,649,829,043,242,571,
927,163,019,576,711,380,765,982,108,690,629,144,062,852,353,490,717,612,093,
086,510,498,458,463,181,280,462,981,114,358,281,573,846,433,520,999,822,067,
131,888,216,149,799,467,651,245,124,924,470,496,031,002,937,512,478,310,951,
207,343,122,386,779,302,465,124,987,157,838,404,211,153,506,040,262,939,891,
205,726,842,885,901,780,222,621,605,498,010,704,850,765,711,365,891,211,163,
250,747,951,182,109,430,469,763,213,636,435,393,681,254,414,340,702,656,313,
712,611,267,639,978,744,177,537,410,690,359,683,387,601,843,256,827,108,510,
365,208,667,901,979,772,388,744,587,283,660,305,184,368,009,092,912,194,548,
143,962,112,025,402,124,736,427,918,244,866,098,673,238,389,067,770,751,102,
641,210,194,792,482,519,399,501,599,345,085,185,460,163,628,744,767,690,019,
591,927,271,737,894,554,026,762,882,454,908,967,787,532,033,783,617,492,483,
656,505,219,330,139,970,672,064,992,416,572,407,425,718,905,422,762,886,582,
771,825,596,842,361,535,922,120,775,984,809,625,099,232,396,199,025,991,610,
425,749,069,895,353,194,190,131,126,319,765,040,426,050,099,289,123,799,170,
212,929,208,624,820,125,376,221,112,646,707,194,365,735,494,166,485,257,159,
435,424,858,577,103,290,525,058,474,269,428,694,479,165,997,333,410,280,971,
008,198,552,505,812,309,509,203,255,316,852,139,298,669,229,435,475,669,530,
703,251,551,677,304,352,649,792,042,374,528,851,270,236,581,651,816,223,266,
656,708,266,937,364,635,815,010,135,983,286,791,583,945,477,375,895,319,807,
278,018,075,080,067,368,818,612,478,735,969,290,620,419,716,047,005,086,394,
951,808,427,970,583,044,495,578,942,403,804,664,062,167,290,339,560,025,001,
618,076,196,789,861,835,338,351,438,671,311,583,204,434,560,167,102,137,548,
143,669,359,132,487,422,510,089,612,765,360,618,765,190,923,650,446,009,198,
034,452,846,387,978,734,549,085,438,585,627,204,537,734,796,049,862,853,418,
129,655,578,726,115,910,097,460,869,107,433,343,404,372,932,426,325,195,107,
426,469,870,670,193,562,847,937,929,290,043,483,030,430,373,718,483,874,387,
324,904,759,293,254,697,059,293,830,562,726,520,869,512,291,888,566,347,074,
281,731,062,202,007,215,143,084,300,207,295,578,655,225,047,542,566,217,535,
594,303,118,803,551,049,823,029,074,686,678,051,690,545,293,205,235,722,321,
081,598,732,392,917,317,757,690,080,592,647,339,232,273,381,463,109,281,982,
984,284,591,413,840,528,388,727,849,847,190,136,839,774,571,917,030,284,471,
175,423,247,829,212,829,687,625,616,590,344,098,846,694,055,670,801,997,742,
478,120,941,964,609,712,425,893,582,351,992,384,733,960,803,852,071,576,772,
338,094,108,245,635,936,721,422,449,427,971,834,982,371,328,899,210,323,533,
276,614,537,538,299,458,413,722,244,132,450,580,482,942,079,729,860,743,067,
035,542,368,270,747,825,032,354,249,131,248,426,593,430,661,086,896,167,416,
324,501,394,372,649,010,815,637,131,933,435,720,739,515,759,992,958,007,715,
699,625,807,077,298,332,753,337,254,020,239,333,009,717,550,277,027,816,726,
672,656,671,681,170,047,565,801,343,192,044,212,870,521,688,694,027,819,358,
629,528,372,667,958,005,403,073,484,657,493,260,877,791,926,091,951,948,269,
973,348,581,221,467,342,250,625,446,110,932,887,848,573,010,461,441,041,142,
739,722,682,942,228,179,112,838,619,105,158,555,802,714,588,694,246,956,504,
411,883,827,892,279,457,908,659,464,395,661,084,334,797,096,229,554,684,060,
186,293,480,065,830,085,674,141,649,384,669,870,050,628,180,536,215,123,578,
790,108,678,150,745,759,608,228,196,732,451,888,233,078,623,741,865,232,177,
671,623,713,152,796,841,194,503,536,082,522,723,310,346,127,638,572,244,595,
403,975,851,836,760,075,166,350,479,419,666,879,017,125,070,952,242,306,175,
734,622,793,733,278,236,999,774,174,097,666,317,242,484,445,675,418,601,533,
347,909,140,400,736,257,017,496,438,695,247,090,316,583,676,505,297,210,446,
285,640,354,448,037,007,689,417,363,638,586,093,983,330,620,131,765,555,510,
566,789,319,805,992,875,809,122,054,361,535,123,222,140,502,480,461,997,603,
481,443,822,851,505,063,933,270,533,851,689,401,931,470,779,389,418,730,352,
985,963,614,628,829,305,345,373,018,581,158,122,275,541,776,608,503,309,713,
955,389,271,173,560,778,629,225,847,141,228,812,766,501,787,868,063,514,059,
001,966,797,906,406,296,637,030,817,153,640,288,991,315,874,328,038,377,220,
988,673,082,975,245,327,763,902,653,490,540,479,068,118,826,778,834,060,457,
017,417,456,908,769,531,932,927,627,258,560,007,110,860,577,204,310,329,636,
515,914,257,391,438,924,679,476,149,581,362,235,722,955,378,960,401,559,004,
490,465,666,074,763,154,696,580,890,573,030,141,791,476,676,947,797,122,418,
148,762,710,317,241,571,785,558,991,862,232,188,173,619,375,878,730,729,013,
725,724,673,830,568,351,266,878,568,133,062,792,282,635,443,738,795,095,301,
531,293,897,272,072,710,882,905,205,166,732,998,264,011,563,297,858,720,451,
424,930,749,010,763,146,647,717,351,993,549,138,267,673,142,117,064,816,414,
290,724,910,196,098,304,012,309,697,098,453,711,396,053,202,069,445,653,505,
717,154,614,428,816,688,852,286,739,007,789,196,781,050,018,517,252,998,938,
647,743,748,641,431,067,359,950,858,977,770,985,987,392,029,728,758,498,602,
828,618,964,341,376,960,241,572,214,658,792,886,150,718,251,766,508,365,890,
646,042,372,641,792,278,742,326,366,779,538,685,610,871,132,375,570,743,819,
857,463,650,747,663,666,220,384,000,410,913,166,013,685,303,572,625,213,583,
554,075,414,552,062,749,239,513,989,166,254,708,657,240,794,957,415,665,392,
885,079,964,102,538,518,167,895,725,437,139,462,305,830,327,608,581,172,736,
127,931,829,646,333,079,091,318,690,105,663,995,473,458,629,011,070,565,392,
100,804,694,165,346,664,073,007,918,165,323,430,776,366,079,908,961,723,804,
672,514,059,041,808,325,173,131,262,058,010,470,783,562,744,668,348,958,718,
393,792,699,688,331,567,047,342,606,218,550,348,502,230,688,110,538,063,899,
469,275,351,340,070,623,745,856,295,314,923,352,449,167,096,543,815,361,207,
176,350,196,618,777,299,721,465,618,208,698,597,167,770,003,746,440,751,851,
450,462,963,691,760,638,435,756,051,531,219,143,053,660,465,518,302,839,226,
624,339,427,881,312,994,610,291,308,549,469,821,609,830,641,500,165,830,382,
172,269,013,897,535,034,136,213,780,754,362,356,603,190,640,997,175,557,624,
680,510,331,682,724,582,232,679,052,609,141,472,272,016,601,074,652,321,696,
007,579,267,197,999,408,759,266,813,784,383,576,049,490,423,787,162,162,035,
747,404,366,554,162,750,039,822,532,863,487,248,931,159,558,663,873,069,744,
217,286,064,549,059,974,480,406,278,900,609,098,838,019,154,224,320,534,560,
815,924,296,832,258,064,301,805,149,566,789,619,564,154,826,133,568,349,048,
808,693,457,481,719,357,315,104,824,751,574,707,398,625,345,840,081,083,647,
855,961,881,487,251,156,631,084,763,708,591,906,483,004,323,087,632,612,800,
282,433,225,684,457,210,241,628,903,163,139,945,513,815,524,429,832,302,825,
465,114,934,608,975,432,772,240,662,481,337,990,124,831,766,246,450,396,201,
083,050,121,591,458,077,528,995,285,222,052,301,935,999,409,446,358,420,779,
122,723,950,692,847,207,523,969,381,586,661,852,345,599,872,791,687,040,121,
750,163,115,659,846,219,728,847,624,998,125,071,228,857,585,212,411,878,995,
382,087,362,847,617,662,746,783,193,906,403,537,942,717,311,617,944,443,857,
418,463,498,202,742,109,645,401,259,296,168,238,100,670,429,738,195,115,869,
423,909,035,716,442,311,309,081,510,802,871,220,981,492,054,799,506,330,584,
274,862,213,534,673,680,721,991,727,917,914,603,520,538,140,179,809,264,295,
781,532,258,144,253,283,848,762,706,210,235,336,449,307,732,093,502,303,427,
965,247,136,609,535,196,641,047,268,806,137,903,005,819,355,274,819,902,586,
406,719,738,033,508,768,715,745,910,206,058,625,754,473,509,019,758,938,857,
336,120,202,911,232,971,762,217,899,637,075,014,937,984,965,210,241,797,099,
158,970,064,569,208,925,315,919,473,196,966,382,885,029,153,241,375,923,291,
325,738,101,707,638,632,836,131,734,836,579,521,203,264,632,607,025,266,766,
448,688,418,461,201,361,057,772,365,201,332,051,856,570,057,388,719,033,837,
068,920,973,193,805,092,769,791,164,123,034,896,762,506,888,974,252,686,083,
846,461,675,899,419,049,594,875,864,712,631,055,475,538,383,281,076,731,918,
200,710,126,207,350,605,505,886,899,746,452,127,679,890,957,398,734,930,937,
694,326,428,822,853,919,993,742,290,435,987,446,486,418,793,410,007,117,019,
715,127,532,471,836,702,857,434,622,539,895,721,088,855,198,717,212,164,071,
625,732,417,719,372,524,033,578,618,047,713,996,395,664,837,441,099,379,324,
186,019,712,489,188,356,680,478,996,062,994,744,255,537,668,775,266,905,778,
382,736,470,342,460,545,425,139,135,651,478,809,345,476,899,519,353,826,160,
099,914,219,111,719,916,111,197,477,098,465,419,142,262,898,401,257,745,179,
945,576,356,773,503,224,774,541,319,410,906,663,346,467,728,605,948,618,422,
112,450,352,880,949,031,325,783,600,417,740,189,834,605,841,917,846,211,053,
823,352,294,800,432,686,273,081,761,801,150,093,001,659,348,542,597,029,004,
099,617,320,274,912,876,287,648,005,908,726,079,640,433,356,025,186,620,153,
578,392,942,996,102,249,562,438,211,757,543,153,094,416,180,038,658,229,012,
281,929,195,233,480,900,741,810,103,167,270,167,605,166,643,302,153,294,996,
407,769,256,858,116,254,543,451,470,004,849,826,406,109,872,727,917,447,836,
363,097,783,774,135,947,099,424,683,525,912,199,506,656,664,044,112,461,055,
193,201,657,942,733,057,061,408,286,362,712,695,800,487,191,438,264,037,137,
555,675,684,025,103,116,397,303,128,746,432,224,169,415,692,875,035,128,850,
628,076,037,739,678,539,570,773,225,210,508,386,806,353,165,806,361,608,856,
696,041,865,015,243,821,878,240,585,776,825,351,244,063,261,541,396,654,954,
181,016,643,962,007,249,049,784,817,911,638,539,005,847,231,361,729,445,053,
521,342,166,695,943,444,992,219,390,238,999,213,677,762,259,559,452,223,574,
472,776,383,008,735,459,256,954,565,035,742,296,003,248,509,112,711,292,790,
718,380,465,255,009,244,309,111,434,082,075,525,095,758,555,385,291,991,896,
927,305,999,912,512,698,973,780,018,345,931,859,886,838,642,529,195,200,386,
923,182,023,147,184,673,665,466,495,202,699,282,865,360,732,380,273,862,817,
880,200,999,593,180,265,475,184,203,920,297,799,787,627,332,216,564,739,227,
968,390,156,743,133,057,986,434,812,523,397,111,693,184,397,223,864,753,040,
122,429,460,294,697,486,753,997,845,171,162,337,411,785,312,843,180,252,819,
376,555,526,673,090,693,627,015,529,998,429,840,911,422,344,719,874,944,422,
613,409,330,204,662,099,338,755,990,335,967,786,148,631,785,533,815,750,517,
513,180,074,634,066,224,229,760,209,614,057,610,356,397,320,506,136,655,335,
119,412,136,727,512,282,451,898,985,128,756,219,059,207,076,968,481,537,551,
923,659,744,411,015,812,733,306,834,071,891,885,640,053,903,212,186,762,583,
996,623,925,996,449,231,893,815,893,993,830,451,212,405,257,846,078,573,506,
189,510,203,196,283,224,470,913,173,684,288,800,813,102,497,239,050,842,059,
054,782,843,608,606,241,956,993,130,066,929,977,806,744,504,437,136,906,708,
670,949,036,200,012,948,891,285,471,615,109,683,510,699,900,206,461,531,666,
833,038,708,688,852,083,693,532,615,953,342,886,860,037,129,926,980,269,177,
413,820,517,125,466,621,724,406,182,789,562,039,623,604,517,641,199,060,086,
980,772,494,354,904,289,491,937,094,766,912,990,888,065,191,388,024,960,993,
923,821,668,178,868,544,131,740,278,176,624,073,035,485,661,552,810,195,411,
702,809,112,332,528,686,492,991,578,236,463,742,111,907,910,088,374,715,774,
637,404,790,686,610,965,020,879,779,497,448,617,693,574,515,473,363,148,043,
774,592,365,754,399,385,968,540,044,760,723,799,063,965,631,437,745,730,917,
421,988,917,128,598,667,549,426,549,255,238,562,228,758,526,494,122,811,631,
786,513,960,982,540,455,971,798,099,388,061,242,550,921,246,838,803,650,683,
976,005,379,737,387,053,689,159,602,530,172,304,027,574,434,941,420,134,380,
732,610,858,318,829,661,507,355,364,679,379,823,220,545,849,477,130,938,008,
497,636,406,164,146,198,779,017,145,359,100,976,481,061,218,673,778,325,207,
156,219,170,901,246,734,422,658,375,794,126,278,600,856,002,219,930,770,784,
744,860,808,820,579,700,955,310,566,698,652,529,150,149,931,958,068,441,862,
728,984,544,802,398,227,986,180,502,235,625,678,541,997,767,722,674,894,125,
862,871,294,128,268,598,246,719,751,962,534,830,656,181,974,034,881,535,991,
516,612,093,314,536,063,205,094,847,211,320,046,786,122,456,431,893,373,269,
770,262,566,312,478,835,483,050,535,764,184,134,879,669,904,171,396,216,108,
087,550,819,555,263,903,422,676,261,334,319,208,089,006,349,072,298,458,050,
607,960,086,571,083,742,248,200,738,867,874,865,932,074,793,645,013,237,105,
480,968,386,107,807,900,405,499,668,803,656,728,051,331,668,165,281,462,389,
038,302,079,400,321,842,035,417,854,653,799,344,537,109,296,517,779,167,944,
344,863,610,697,387,739,488,337,227,887,856,850,393,099,593,181,732,052,926,
806,780,852,963,164,054,905,222,444,186,334,663,098,372,087,940,629,698,004,
872,978,061,718,935,771,157,154,185,735,970,203,803,480,575,936,549,355,717,
245,428,209,810,117,639,405,908,673,039,506,298,492,518,721,463,056,339,219,
417,095,983,929,272,269,104,616,109,812,493,498,334,523,679,990,167,523,232,
058,609,411,682,074,519,724,709,478,852,636,282,933,143,877,594,141,302,062,
170,303,811,153,274,257,515,957,205,689,921,234,598,301,891,176,665,213,586,
493,158,409,714,155,764,166,675,535,981,669,387,713,054,992,806,755,939,352,
609,555,832,818,637,296,216,758,776,827,828,748,042,085,037,545,153,986,752,
071,248,251,459,991,241,359,023,839,330,762,610,484,736,767,414,888,250,378,
897,246,718,015,633,524,467,877,782,161,676,596,100,786,409,774,766,337,415,
001,412,204,557,632,507,903,627,697,102,266,197,773,286,882,489,129,358,986,
948,804,059,428,856,414,667,091,644,220,590,866,886,153,732,738,563,065,901,
634,477,390,460,164,815,266,952,090,547,622,362,020,780,140,002,738,834,619,
779,322,312,661,837,234,761,287,983,329,401,086,710,459,097,543,292,295,531,
342,514,703,269,341,890,311,402,170,472,616,539,861,626,845,836,310,228,276,
112,104,485,344,268,410,729,004,053,892,568,305,741,815,951,170,602,019,155,
491,444,278,806,007,119,977,677,293,958,617,056,719,633,577,794,518,731,669,
340,289,080,408,607,433,456,523,114,873,815,208,906,771,700,249,102,311,021,
433,182,681,444,177,785,186,412,202,602,794,292,777,447,624,789,604,997,874,
567,040,088,037,804,933,800,130,841,661,844,458,799,432,025,638,509,076,622,
114,579,688,602,666,775,354,945,713,582,491,631,153,000,988,157,372,310,595,
008,720,329,418,051,701,897,988,590,547,657,719,046,288,070,945,710,168,920,
527,250,966,808,532,184,495,919,732,703,613,181,311,291,689,111,295,013,762,
291,783,213,848,152,753,924,278,622,596,622,207,040,458,468,912,754,864,173,
973,649,502,552,896,111,082,593,094,695,679,686,485,720,157,853,863,479,825,
338,715,836,644,125,282,000,609,915,518,247,449,918,898,127,101,377,642,623,
057,083,363,835,503,648,357,385,303,893,140,365,787,182,755,064,764,025,562,
721,895,647,839,614,515,816,685,409,532,830,953,340,459,939,786,515,322,577,
681,149,050,698,092,469,261,268,271,899,141,573,868,525,215,802,761,142,373,
401,836,836,917,903,752,992,671,055,634,416,054,138,466,319,655,629,539,137,
418,186,739,069,593,137,999,710,640,892,028,892,130,810,967,480,916,055,978,
648,904,797,322,448,299,845,183,197,529,731,486,562,416,766,957,638,348,039,
018,099,082,284,059,716,457,665,373,767,658,831,121,658,291,395,139,377,220,
613,169,721,823,350,067,566,837,342,691,821,969,047,141,847,890,524,031,684,
722,499,678,644,544,745,060,683,212,998,161,254,500,037,945,919,834,359,085,
603,848,911,820,585,393,507,672,112,467,929,374,556,675,896,543,887,004,439,
122,115,031,284,576,595,349,601,768,159,841,780,580,810,554,954,833,970,779,
027,308,978,536,910,443,986,065,218,392,959,402,102,132,711,289,717,379,227,
647,249,234,602,847,869,936,626,485,813,390,005,900,108,635,946,648,090,271,
931,852,280,222,554,944,450,985,255,040,444,708,166,620,296,099,797,811,450,
592,754,231,381,675,149,673,174,050,703,868,332,266,148,302,588,036,578,524,
750,566,191,210,754,910,933,947,659,780,990,781,575,823,865,503,058,236,779,
931,218,778,092,196,702,442,556,881,314,363,364,645,689,492,757,909,455,716,
222,529,954,289,408,350,197,930,991,783,690,121,097,136,927,362,860,700,320,
743,015,594,650,702,875,952,089,140,273,493,546,652,559,745,763,867,635,865,
881,561,452,950,753,964,627,503,873,999,355,651,243,178,261,083,270,461,836,
708,631,991,068,004,521,826,586,726,817,693,621,821,443,412,532,882,588,577,
652,024,544,978,310,609,471,295,317,950,280,684,992,661,344,612,794,921,651,
916,390,482,499,961,645,228,631,624,687,268,133,748,918,049,891,605,793,025,
335,805,441,197,068,238,411,461,346,930,911,795,987,005,931,864,831,078,435,
601,171,004,708,783,077,013,768,223,025,110,140,630,920,025,204,598,823,998,
777,124,269,909,047,172,843,762,495,544,906,438,003,013,996,792,252,336,074,
742,311,028,172,296,785,882,343,697,137,449,196,494,391,083,395,508,310,579,
446,922,554,524,744,090,386,542,135,102,468,290,674,854,573,121,682,365,589,
009,034,845,008,123,276,082,017,100,509,037,228,229,326,102,577,379,553,925,
509,041,390,396,347,479,106,799,577,731,719,678,999,681,394,865,144,801,379,
054,320,560,033,083,535,770,887,487,970,367,513,016,926,270,311,384,172,211,
777,494,134,803,897,024,794,239,126,987,379,870,712,857,061,960,514,938,883,
245,258,410,597,337,742,397,553,375,392,864,711,891,835,835,690,599,358,193,
316,422,929,312,209,546,955,454,692,162,676,671,651,868,795,698,597,107,437,
280,837,743,280,295,213,236,278,543,301,866,740,662,686,081,203,928,736,937,
007,227,874,548,718,446,738,769,764,817,227,609,395,729,173,803,190,474,737,
954,541,652,419,105,128,861,202,581,310,881,686,345,383,958,929,042,600,076,
663,387,884,558,734,633,684,624,516,415,391,399,958,091,974,757,305,532,444,
898,726,807,490,378,158,288,420,355,868,181,544,371,146,610,337,616,606,088,
264,435,799,883,426,611,829,017,883,244,455,585,946,459,444,342,761,671,158,
949,168,836,296,921,194,724,131,155,931,525,713,524,580,415,866,764,703,005,
155,441,740,214,544,018,766,296,125,665,246,484,683,000,496,521,227,733,750,
306,469,221,853,519,088,953,462,678,513,178,473,828,027,443,571,858,684,686,
750,304,027,448,033,800,691,354,960,195,970,261,895,925,133,134,967,028,386,
262,452,010,650,699,400,495,491,458,062,624,460,729,654,086,424,710,852,415,
173,747,268,029,846,686,532,818,753,960,551,156,918,122,765,708,248,707,266,
390,269,125,602,853,371,147,593,969,578,063,977,236,453,223,571,290,659,872,
343,794,610,732,888,995,431,638,629,126,477,982,400,613,311,261,030,606,790,
808,945,816,554,144,667,553,844,095,293,387,727,671,984,036,027,186,626,864,
038,116,979,704,690,777,626,328,823,601,599,528,368,537,306,016,704,513,885,
704,701,322,557,335,997,225,067,095,076,847,001,403,959,116,560,206,027,380,
261,699,162,603,984,502,427,994,464,032,099,738,770,879,169,676,159,700,253,
946,424,600,279,463,592,272,053,744,200,149,919,963,292,251,170,745,774,008,
754,319,475,165,614,597,182,350,491,329,922,414,324,348,758,840,836,479,083,
825,339,864,422,557,644,542,558,265,595,610,395,870,303,883,153,154,982,077,
490,006,503,488,119,856,519,684,599,547,437,248,119,925,497,692,012,768,992,
998,739,183,832,264,049,762,793,385,919,498,261,912,189,075,791,714,520,138,
478,785,627,032,128,520,018,658,662,852,426,945,502,642,400,401,078,528,996,
746,856,441,440,086,132,875,440,135,366,719,361,390,479,889,613,643,371,291,
116,696,384,160,214,458,575,507,310,205,041,558,215,339,034,808,534,930,110,
387,743,635,075,459,896,166,760,882,305,873,662,781,517,001,491,931,616,747,
179,401,141,994,308,391,131,372,135,862,237,099,700,852,593,419,906,836,035,
353,201,502,003,492,053,342,995,828,362,946,622,190,569,924,861,293,770,781,
448,928,673,007,812,129,606,804,683,945,319,893,675,965,303,917,660,732,449,
613,906,207,135,505,455,614,771,693,861,002,863,875,946,504,862,593,633,385,
663,553,201,537,159,027,760,543,289,525,245,119,827,054,399,879,191,224,871,
332,079,704,487,168,517,449,388,905,585,170,986,728,207,418,521,190,054,084,
491,974,792,020,809,111,279,650,717,689,731,918,819,299,748,206,871,509,902,
587,734,698,114,989,055,588,082,235,666,873,353,459,352,687,621,544,831,290,
578,161,044,028,457,918,502,758,530,806,909,712,663,145,977,229,215,536,013,
640,470,922,868,302,944,232,165,869,736,478,079,324,303,775,397,813,027,325,
844,085,498,065,372,721,233,646,601,571,960,372,546,687,311,188,899,428,820,
937,431,026,434,647,828,134,962,719,768,464,687,109,469,310,351,118,118,954,
175,202,424,035,159,143,237,800,578,609,521,584,412,548,462,503,341,638,537,
806,160,700,605,257,322,738,657,750,434,364,327,000,071,886,293,021,812,659,
643,091,923,973,975,405,060,386,709,286,949,875,964,332,386,581,032,378,610,
281,156,854,253,953,957,993,513,495,100,620,141,436,615,325,821,998,504,168,
198,347,668,065,885,684,264,354,282,573,588,578,495,326,874,683,076,670,375,
634,916,402,596,190,968,425,238,922,905,844,910,560,695,734,523,085,897,714,
983,973,301,843,025,415,900,013,999,655,073,622,792,252,412,220,336,142,363,
714,445,671,932,041,329,604,283,881,020,527,823,404,946,093,396,714,183,795,
346,537,831,930,536,711,343,905,434,679,703,784,538,165,077,309,236,228,956,
503,575,093,621,607,488,878,547,426,575,935,140,699,848,781,109,945,939,513,
088,428,467,104,281,010,688,665,446,629,664,883,700,863,967,239,065,654,559,
027,444,723,466,707,903,412,459,630,973,875,068,207,669,636,891,074,270,436,
959,524,882,184,728,930,913,552,967,374,855,419,081,323,632,021,535,495,851,
649,877,826,163,789,169,537,947,903,532,726,412,084,884,399,249,018,969,136,
871,619,328,298,590,534,315,180,719,992,530,614,098,120,333,595,339,901,840,
105,038,188,635,150,818,141,038,220,374,333,453,728,731,056,953,600,146,519,
300,450,730,681,241,574,911,587,330,352,237,929,507,698,259,133,392,049,910,
891,517,476,254,813,578,289,967,345,111,355,053,880,984,632,086,826,250,175,
837,388,627,355,155,645,381,806,400,360,995,528,814,385,217,746,478,769,974,
495,785,497,584,719,581,823,989,313,028,318,180,203,153,361,269,758,221,170,
546,597,386,695,917,548,173,719,119,426,889,887,754,283,231,556,005,599,884,
933,692,794,481,992,218,546,160,180,411,473,148,417,313,790,410,668,713,123,
310,529,961,095,334,652,364,625,128,432,836,135,561,576,577,791,882,396,108,
740,354,758,854,374,359,738,571,155,144,144,084,210,538,903,567,492,279,515,
063,904,254,003,721,368,976,429,901,125,047,764,654,756,483,693,183,095,242,
632,884,331,173,653,806,308,195,908,704,774,697,456,162,778,685,426,225,444,
924,971,171,764,418,921,091,913,103,881,567,716,304,685,514,853,678,256,602,
513,362,387,797,597,483,387,813,010,259,242,323,582,157,991,935,160,277,099,
929,886,846,587,789,421,761,079,764,767,740,496,715,546,448,102,637,608,126,
475,219,245,349,359,123,843,257,128,938,478,102,691,016,138,687,356,409,432,
497,195,884,032,449,159,780,720,237,492,870,648,372,245,366,877,111,650,514,
741,899,192,238,141,251,023,097,807,159,630,867,175,288,628,468,341,911,296,
483,943,003,900,632,470,804,618,360,283,109,523,567,180,092,402,046,564,653,
007,301,732,219,593,283,540,121,732,935,892,323,664,822,577,930,820,481,156,
313,696,291,585,869,349,034,522,531,627,597,027,684,384,376,810,095,787,327,
583,203,187,698,103,703,657,538,899,513,234,778,532,143,969,812,774,531,923,
979,977,866,870,320,181,635,999,526,099,374,758,684,434,113,592,625,521,487,
362,587,268,679,019,236,860,193,497,034,599,428,354,757,749,670,271,994,804,
811,940,338,806,659,220,385,115,847,972,007,837,679,134,120,194,909,654,145,
000,771,427,990,865,142,937,702,504,133,318,527,780,512,397,877,866,071,891,
001,767,840,553,000,869,512,120,836,315,493,081,347,673,648,112,064,647,411,
371,846,040,586,254,352,619,119,236,492,103,393,788,122,279,398,596,961,685,
535,231,659,516,176,061,051,007,227,198,677,502,537,840,074,389,230,464,409,
915,141,119,721,277,873,451,687,225,095,604,087,840,694,424,760,321,518,550,
334,353,393,023,691,333,898,657,816,955,706,166,057,521,211,416,617,844,792,
920,917,249,421,888,644,530,814,409,015,692,002,233,744,681,888,575,419,973,
934,364,231,464,797,595,997,315,532,834,549,894,869,950,944,088,352,068,442,
903,215,661,194,835,493,035,223,677,255,142,880,607,156,598,216,128,079,754,
908,893,206,371,793,536,925,518,717,749,354,844,200,646,631,760,169,463,771,
823,857,097,687,912,517,617,336,392,050,352,931,575,084,532,535,165,930,443,
359,361,086,340,290,715,720,878,109,057,458,894,795,261,708,824,248,384,041,
943,426,786,451,052,957,669,497,596,092,365,310,209,502,935,343,677,404,244,
201,972,228,067,932,864,071,679,679,795,560,710,464,314,463,569,245,627,442,
094,097,506,374,522,468,391,321,035,441,768,517,450,143,852,269,635,342,674,
089,328,172,831,412,048,348,865,459,214,245,781,087,859,375,247,587,100,539,
998,983,239,736,022,882,841,494,153,625,427,309,646,358,952,701,718,134,562,
478,490,633,244,137,684,375,756,381,522,021,714,178,282,649,261,564,339,396,
469,086,987,660,690,292,392,315,946,924,690,510,972,799,109,053,184,030,275,
268,321,946,528,259,784,639,769,392,226,159,173,271,323,914,958,780,988,050,
516,133,835,724,303,341,378,599,420,459,869,082,030,317,547,171,050,028,212,
657,841,619,469,657,409,228,352,250,100,511,810,737,667,510,505,794,290,984,
332,175,873,824,349,549,057,475,407,970,257,453,780,901,801,752,326,332,072,
192,202,243,634,532,390,768,501,360,856,299,636,950,249,547,727,402,852,399,
872,878,183,985,250,495,683,521,617,318,933,778,282,007,444,511,833,664,643,
943,099,905,854,043,733,549,493,458,643,684,516,991,896,747,795,280,977,688,
301,293,178,564,893,663,486,228,911,355,135,751,062,583,064,194,421,128,055,
378,563,013,360,242,434,138,245,421,641,199,720,134,159,391,324,783,867,489,
858,653,618,474,198,946,045,601,486,258,977,410,146,873,863,557,588,436,546,
803,703,042,654,331,239,245,880,186,308,610,875,593,602,352,945,379,615,608,
600,865,162,576,476,447,762,578,696,245,878,190,445,144,810,776,729,154,172,
372,251,998,779,993,206,884,296,896,502,839,541,578,236,040,389,094,781,986,
004,849,740,309,622,430,571,061,569,057,196,815,532,219,835,755,485,251,825,
288,155,495,176,813,631,454,658,264,085,565,359,408,583,426,485,746,901,300,
151,929,487,940,687,319,741,094,624,043,939,185,721,110,691,027,731,742,482,
364,689,786,868,438,060,836,493,467,446,214,631,487,687,545,153,613,050,336,
375,476,811,281,394,953,596,540,724,825,942,623,263,908,340,371,915,772,207,
569,070,336,590,603,454,303,977,566,112,955,067,450,008,690,929,908,881,621,
440,287,082,474,402,014,442,889,487,303,558,372,445,008,471,096,322,587,018,
324,834,325,136,238,704,358,955,564,448,530,465,545,578,559,235,107,547,033,
719,727,550,975,984,269,036,792,247,719,179,566,470,258,727,196,056,285,116,
221,474,303,576,208,828,120,061,215,960,270,959,983,074,739,647,376,570,504,
385,883,097,817,197,805,214,824,016,812,630,315,700,018,946,835,470,157,015,
225,219,359,655,638,753,270,432,212,866,002,492,300,738,701,647,018,918,895,
776,467,537,035,411,848,020,241,025,722,551,055,778,667,500,733,527,694,132,
997,538,016,967,840,183,534,547,827,123,699,347,351,963,245,913,013,362,966,
597,419,689,605,459,411,817,189,039,791,820,103,227,873,561,676,864,172,690,
951,298,654,738,620,862,836,734,184,983,936,602,609,299,594,633,767,976,609,
148,334,502,888,024,469,325,572,794,557,436,520,870,163,812,644,237,578,415,
483,701,041,137,563,287,836,773,039,703,930,073,072,017,125,570,021,241,562,
394,954,903,270,767,925,622,788,875,474,740,008,840,497,151,639,980,978,889,
910,517,096,372,158,409,851,685,086,271,683,661,412,340,127,891,152,381,157,
622,039,210,048,153,711,198,676,229,971,142,173,414,604,268,491,015,606,675,
852,721,625,495,224,759,972,540,312,937,563,844,903,603,977,339,855,608,220,
493,196,429,696,117,865,744,954,177,914,259,695,097,244,588,073,397,123,986,
160,594,072,391,034,235,516,633,816,863,928,378,324,077,620,942,904,912,158,
319,684,059,760,268,642,443,582,388,599,349,458,742,162,606,387,457,890,223,
542,040,538,769,762,008,084,596,212,638,819,592,628,271,503,960,228,044,264,
528,625,021,882,897,244,825,843,632,287,066,903,321,238,311,635,688,111,947,
598,101,147,845,841,123,181,212,701,420,967,785,392,719,717,817,310,478,255,
833,066,880,715,738,869,185,696,663,146,711,479,151,496,784,896,276,448,941,
424,830,673,265,188,638,978,501,074,237,096,359,092,648,710,838,496,396,303,
934,110,330,265,959,796,401,851,242,891,389,784,569,053,347,175,904,555,868,
319,943,889,285,741,987,657,605,596,532,672,186,143,709,399,282,141,760,107,
872,088,475,974,431,571,730,444,343,825,675,498,967,553,398,431,282,754,050,
342,280,953,476,776,019,969,037,512,470,679,623,169,232,019,963,057,361,943,
936,407,905,236,240,416,304,775,209,165,437,164,185,097,086,470,113,294,485,
558,053,238,495,496,747,484,212,097,907,461,531,296,620,806,697,109,444,318,
778,784,700,012,631,385,906,165,899,080,606,791,069,980,765,967,666,490,508,
657,094,285,050,856,364,600,974,680,336,840,269,932,534,471,149,234,853,344,
773,931,330,032,680,929,732,021,175,166,288,354,673,797,732,251,517,926,149,
639,765,528,345,231,749,753,014,925,586,670,214,653,636,528,260,943,410,922,
326,665,634,910,174,368,637,984,417,300,287,397,332,536,031,594,998,747,623,
097,033,654,943,870,633,364,502,943,426,096,791,098,891,103,885,606,161,809,
958,766,891,259,968,525,843,236,611,841,130,229,358,885,938,719,936,327,122,
181,435,679,696,835,412,790,612,649,079,584,107,127,519,476,803,277,946,638,
737,913,049,320,244,162,036,148,599,426,850,263,028,648,232,630,765,625,317,
570,234,604,596,354,442,180,272,625,300,390,361,096,484,215,046,309,867,587,
593,475,391,629,092,678,430,638,321,891,562,017,224,480,117,189,525,136,802,
474,096,617,518,974,536,259,429,711,116,147,683,023,123,431,338,003,178,698,
797,874,648,770,257,874,515,568,374,233,360,585,023,793,780,324,694,761,708,
607,066,225,584,991,136,197,044,057,318,240,105,499,468,070,127,554,117,656,
099,981,322,004,368,337,712,326,999,186,188,993,386,506,490,131,036,132,279,
516,316,008,650,112,083,938,472,953,062,453,643,951,951,482,840,784,013,234,
502,828,242,130,888,749,849,871,664,175,492,981,019,219,305,645,512,064,190,
439,920,306,058,485,619,050,930,384,999,003,914,683,771,763,406,498,385,811,
843,076,105,381,998,312,739,167,298,512,905,698,516,219,769,736,689,204,503,
389,179,013,231,256,686,136,712,145,652,648,440,844,959,225,302,895,049,329,
105,699,226,275,215,712,654,935,400,139,713,048,353,186,921,837,723,938,315,
654,110,361,410,787,900,434,530,344,911,300,676,085,467,505,555,459,413,430,
375,216,109,093,764,465,129,440,950,030,188,081,974,728,011,980,827,354,474,
227,838,465,035,098,025,099,911,856,451,859,925,563,648,103,468,270,531,729,
386,263,655,363,588,547,496,052,322,758,451,386,133,261,532,000,054,887,609,
950,707,306,994,058,765,257,258,512,505,543,520,532,284,770,186,430,544,826,
541,702,935,840,460,954,163,478,231,521,829,650,140,729,699,330,507,438,490,
873,501,072,895,411,291,361,336,111,227,245,417,991,290,343,096,704,267,890,
365,080,546,713,164,263,986,652,312,781,931,830,652,177,979,326,062,489,115,
973,752,035,809,028,390,597,933,208,313,337,043,262,051,687,910,690,302,742,
685,141,667,208,791,333,520,458,317,942,884,608,493,845,154,077,439,149,947,
118,584,873,641,558,502,549,905,904,404,327,221,616,492,825,266,514,336,933,
759,352,594,569,792,444,258,185,711,675,016,752,900,717,706,417,439,204,385,
748,685,821,503,460,717,802,925,695,067,046,243,791,210,112,290,066,882,854,
752,867,605,783,120,557,480,202,074,371,972,661,143,384,145,059,636,226,143,
080,066,578,779,768,298,508,895,111,216,788,968,464,780,287,525,025,351,056,
179,538,507,706,330,273,124,631,549,815,439,686,951,153,269,837,821,860,548,
136,446,258,465,729,006,706,435,811,149,393,503,123,989,640,861,241,936,898,
129,959,958,510,480,489,669,407,592,431,532,194,324,296,203,261,335,486,979,
313,707,160,798,986,716,214,623,664,091,098,474,735,495,554,654,950,237,937,
351,261,511,406,418,153,766,791,397,836,361,220,588,221,346,673,504,822,975,
421,773,718,929,089,755,653,579,796,944,256,098,397,774,537,311,354,050,904,
755,141,542,241,557,286,120,955,395,807,211,932,355,154,157,596,063,205,674,
057,941,977,297,403,236,384,191,778,263,258,073,963,986,234,205,483,359,115,
466,521,677,756,802,362,007,403,558,757,271,568,423,771,796,037,377,977,957,
977,517,289,397,726,887,258,120,486,125,115,075,651,892,947,923,716,296,830,
229,519,420,169,175,527,688,691,498,882,046,503,904,840,417,870,753,414,518,
138,584,418,372,519,967,902,821,804,194,627,478,487,345,436,920,758,474,693,
988,732,897,941,571,937,912,297,192,804,113,456,138,261,291,426,140,949,863,
391,509,706,617,569,878,312,572,198,425,617,287,414,686,187,046,309,210,321,
714,231,822,414,578,554,974,522,403,386,190,291,560,588,897,759,745,562,532,
155,070,990,068,361,153,744,471,956,507,539,141,793,375,026,565,265,092,880,
506,898,429,938,818,860,139,978,076,306,344,555,845,329,544,505,956,294,108,
748,557,525,734,541,234,205,053,562,874,433,507,134,777,738,038,550,438,121,
696,722,026,851,424,589,847,766,532,656,098,437,224,299,460,714,356,925,912,
419,842,083,841,748,253,140,325,806,713,213,267,153,078,824,024,951,550,158,
342,566,776,467,741,190,049,024,571,222,059,124,364,422,981,703,478,692,521,
309,188,157,064,291,961,444,006,908,453,519,838,720,065,971,608,918,010,830,
814,921,758,948,977,180,568,058,027,489,650,728,148,372,453,393,196,702,826,
306,729,199,901,494,427,567,957,510,396,673,169,824,979,293,586,658,907,773,
381,232,780,331,525,822,310,332,661,258,524,165,660,030,953,149,754,237,647,
824,014,508,968,181,526,958,459,254,315,116,759,962,654,709,687,360,200,451,
277,431,306,072,929,001,658,041,219,690,516,281,948,364,665,116,143,352,265,
888,656,098,493,220,957,359,946,545,937,347,646,700,651,118,367,006,876,514,
570,991,793,549,506,934,026,495,968,316,112,884,017,068,492,369,363,116,604,
329,696,357,463,628,303,678,820,844,271,882,991,170,689,334,901,716,577,059,
706,206,105,567,180,830,157,205,223,904,910,890,755,914,761,929,023,510,739,
212,888,044,927,571,844,141,668,769,860,654,589,002,631,294,459,198,112,199,
760,496,700,111,106,188,689,837,315,360,505,692,842,682,793,473,782,457,852,
856,504,160,544,356,868,615,861,710,944,874,131,533,443,867,447,836,780,472,
247,720,966,454,397,219,781,925,624,184,663,088,993,941,745,188,754,416,013,
475,178,144,012,736,791,134,574,071,341,478,969,277,827,493,765,351,966,650,
693,877,895,495,641,416,435,975,361,827,456,780,951,033,743,124,804,977,227,
044,527,817,624,566,438,366,157,310,253,341,612,241,009,395,257,207,941,030,
866,354,780,440,143,158,911,028,313,043,444,224,693,823,687,449,166,697,064,
850,170,873,809,896,056,510,369,285,114,188,759,370,169,584,567,812,873,822,
025,636,310,962,718,229,868,437,432,731,460,818,048,280,174,913,126,874,623,
574,085,484,079,316,579,378,868,379,322,009,228,575,835,307,419,745,513,515,
844,541,868,229,095,098,603,677,649,164,535,804,178,596,935,665,901,621,984,
075,196,604,910,036,127,029,828,598,727,065,578,989,393,852,496,867,010,703,
747,984,149,152,400,020,510,561,995,714,025,716,734,984,283,273,012,407,997,
689,320,746,560,496,536,989,985,718,773,927,166,607,605,066,699,187,256,648,
393,518,758,027,175,492,591,169,112,059,715,054,177,117,211,599,126,339,309,
371,086,997,794,503,160,706,647,999,750,039,694,440,062,817,192,883,105,276,
012,769,942,797,519,481,195,287,353,046,874,075,006,938,794,458,360,129,030,
211,955,956,991,870,382,717,852,428,854,646,596,124,102,024,860,078,979,061,
124,832,354,068,370,108,325,493,486,555,269,516,556,294,969,343,561,236,325,
167,969,420,048,912,395,477,537,858,750,412,524,219,996,218,814,266,884,401,
026,462,626,206,484,273,253,003,927,263,726,790,236,853,386,646,261,693,480,
401,328,014,876,413,648,994,923,762,948,710,597,912,144,679,575,972,560,070,
039,964,013,505,834,040,124,739,867,330,438,986,079,268,644,016,206,987,878,
946,887,243,935,499,586,083,942,197,280,104,844,026,853,436,671,554,750,274,
476,470,304,372,257,884,123,139,376,385,533,734,939,878,591,141,750,466,540,
931,725,987,510,843,807,958,044,491,463,552,280,439,876,003,934,505,416,985,
277,409,232,789,327,942,284,745,995,331,881,576,182,530,609,521,156,618,768,
423,657,492,101,735,238,110,769,228,356,478,234,304,210,414,552,881,155,247,
547,948,434,567,839,981,556,457,781,676,588,352,606,504,831,797,907,001,245,
710,457,253,493,993,285,169,756,034,504,866,862,143,189,853,608,086,530,001,
435,244,680,626,523,584,390,763,364,984,637,095,177,536,882,680,162,246,165,
525,719,287,283,415,660,355,789,445,669,012,712,796,710,060,552,254,871,732,
355,579,314,641,211,852,757,478,235,678,885,843,839,611,121,229,775,948,534,
489,967,602,061,918,561,751,692,360,875,534,646,526,919,850,174,892,596,151,
229,242,866,775,566,862,834,064,653,251,905,543,279,174,897,612,215,140,604,
755,207,261,494,152,415,768,821,114,593,478,506,588,740,145,233,231,780,155,
901,577,430,554,756,899,400,089,704,775,311,099,924,084,447,165,244,752,682,
583,569,433,454,870,463,213,134,411,332,031,039,316,847,677,736,039,483,079,
862,226,641,675,306,060,379,788,399,211,026,042,840,474,749,144,012,140,696,
900,386,831,245,126,886,672,700,139,235,998,269,564,630,720,897,143,694,496,
827,822,726,582,338,696,964,010,560,000,649,167,199,828,433,126,760,894,774,
209,217,434,249,442,674,920,105,152,468,280,173,296,863,297,234,038,238,928,
444,854,400,509,182,317,909,673,305,031,329,689,461,463,053,747,105,186,361,
373,196,166,939,356,670,041,504,748,328,982,198,824,894,263,142,776,945,844,
566,626,624,657,277,339,086,783,538,877,544,364,844,350,157,403,888,934,199,
820,262,838,691,598,711,814,376,089,205,010,708,335,844,851,821,696,323,724,
457,811,276,033,163,903,969,556,531,072,372,284,359,402,626,061,459,729,274,
795,530,398,149,917,045,991,723,395,722,731,727,466,407,882,247,290,271,311,
358,803,722,753,664,438,668,914,554,170,563,515,696,808,076,025,970,966,263,
493,265,795,819,344,993,763,832,085,076,342,345,711,594,059,031,656,538,661,
900,820,610,911,591,031,139,459,152,017,854,714,932,401,186,886,549,684,538,
659,768,786,171,304,478,481,611,823,620,729,898,194,437,780,328,032,399,978,
533,215,238,917,910,686,789,929,100,582,502,256,412,419,746,996,374,784,798,
453,949,738,134,923,336,558,501,971,509,469,645,262,038,932,181,834,391,215,
963,247,373,365,987,166,853,373,600,030,302,394,434,968,730,889,706,076,374,
108,804,427,910,195,172,271,759,551,046,734,676,758,503,595,655,265,471,233,
091,265,922,731,299,656,414,355,697,946,634,180,680,276,689,428,003,545,913,
348,893,688,093,056,505,594,787,998,095,413,433,331,827,835,626,540,053,019,
946,087,059,041,277,979,481,425,781,687,283,797,198,446,551,918,554,227,716,
931,092,897,053,936,388,966,921,681,669,896,978,146,508,290,766,304,924,382,
474,194,472,239,039,001,136,742,097,665,945,060,664,440,377,575,168,316,753,
738,651,840,518,194,604,707,664,681,854,784,373,178,892,188,023,736,983,308,
310,799,386,257,593,363,014,858,618,087,541,898,152,232,153,891,333,362,485,
224,799,124,461,997,295,195,981,725,631,328,065,559,413,640,145,479,020,357,
681,231,614,406,446,026,925,814,841,017,013,720,377,984,404,706,315,953,587,
289,994,685,429,619,282,342,919,655,035,805,851,447,146,417,571,770,320,344,
097,238,813,741,220,472,375,938,075,227,271,265,428,605,755,488,838,333,210,
011,403,991,193,016,332,354,305,129,256,100,835,771,389,801,534,615,654,440,
781,064,853,210,814,696,303,809,875,342,165,997,792,877,531,419,449,087,891,
073,114,219,795,598,117,173,415,830,301,646,927,155,833,375,745,992,579,559,
030,348,274,990,184,910,235,801,999,465,743,898,044,946,744,030,091,954,796,
320,380,860,223,728,065,547,558,723,976,181,491,057,644,906,613,613,541,935,
096,757,788,616,517,104,862,346,407,859,382,685,665,398,371,622,616,881,573,
741,209,518,845,626,096,214,396,189,201,924,881,344,859,136,290,163,065,074,
755,166,297,812,289,051,872,766,384,274,396,742,566,237,732,086,244,105,242,
879,633,030,500,127,291,567,645,789,327,268,927,949,176,272,379,238,282,105,
464,780,794,029,600,737,443,000,727,847,168,511,700,657,031,491,373,393,924,
918,211,937,771,611,681,204,797,930,895,000,428,373,413,051,361,751,666,074,
803,142,363,417,673,539,012,816,714,659,875,881,529,505,375,487,363,262,478,
470,674,465,464,347,876,901,129,031,224,988,042,984,670,277,036,098,280,903,
676,928,910,787,036,950,375,009,139,620,609,288,773,911,694,093,301,390,048,
995,115,813,740,122,090,217,042,050,469,658,143,795,759,147,923,352,582,058,
176,954,972,314,603,447,182,864,050,537,428,599,314,718,126,203,111,145,897,
189,981,958,464,223,923,786,524,944,562,012,180,803,030,888,513,922,964,601,
528,744,895,263,372,902,361,274,196,705,172,131,982,775,257,129,807,782,470,
598,815,893,709,683,773,779,800,730,580,959,448,831,321,446,851,286,118,526,
327,085,585,116,081,242,073,240,288,561,444,048,899,142,515,178,056,811,768,
893,739,221,114,168,993,987,386,620,178,830,701,115,696,068,742,522,307,624,
775,673,298,821,934,705,799,056,774,615,676,085,133,411,905,159,738,691,486,
339,149,237,937,695,859,255,396,459,698,729,344,744,945,038,578,951,321,808,
043,984,306,341,559,484,336,506,058,170,512,782,702,870,455,128,260,654,703,
165,070,029,888,577,545,267,850,358,081,057,762,709,058,085,634,199,855,335,
391,931,938,761,843,067,801,405,278,717,514,391,638,787,326,480,883,623,961,
107,879,633,992,843,564,470,394,833,066,935,627,868,588,716,504,911,697,112,
556,138,502,942,757,965,681,691,313,192,754,116,752,352,372,414,164,514,518,
694,111,187,547,754,521,890,613,755,088,598,889,776,185,683,992,442,981,990,
072,503,658,365,757,050,880,704,595,977,158,904,548,323,046,348,396,509,804,
526,842,687,045,963,624,457,926,675,458,326,002,736,251,471,963,156,091,355,
491,132,731,161,073,771,537,564,181,730,361,117,831,274,334,436,105,647,528,
798,624,745,695,033,972,016,965,655,405,778,172,303,671,364,035,918,440,039,
573,998,371,105,704,707,232,492,905,288,747,556,404,315,701,044,989,079,161,
131,591,504,846,403,718,415,144,334,023,153,275,225,164,943,660,769,675,727,
752,892,875,441,820,704,127,662,561,210,602,583,730,959,105,364,576,918,733,
558,404,731,932,596,657,263,786,367,460,799,000,096,712,338,117,946,753,299,
153,333,411,184,725,655,350,945,144,503,285,951,399,645,650,078,271,137,102,
917,968,127,436,736,572,532,749,661,183,712,816,455,050,922,437,514,922,762,
055,515,750,269,307,481,539,499,320,672,551,705,442,617,181,713,307,570,979,
969,811,819,603,075,472,969,126,309,193,401,923,064,388,546,311,979,823,374,
759,504,972,103,854,972,758,699,244,839,160,576,474,331,999,742,415,605,499,
754,359,490,815,379,666,140,890,217,205,677,214,586,476,324,045,701,815,695,
626,213,560,680,412,466,834,795,038,840,303,660,269,348,201,893,625,772,635,
897,364,207,802,993,717,645,913,922,807,575,918,019,086,573,524,497,336,726,
632,086,140,076,810,435,770,930,594,075,898,394,172,363,081,370,201,790,537,
407,848,536,813,919,311,311,912,596,356,269,921,454,093,479,356,751,118,552,
770,746,055,603,032,605,892,662,703,761,748,734,848,009,321,097,247,193,636,
744,907,198,590,413,653,534,672,044,023,671,189,969,602,765,179,965,786,733,
702,422,990,179,869,553,543,278,429,991,254,734,098,782,791,097,571,017,057,
017,381,962,010,242,390,493,550,557,894,124,775,615,334,721,654,031,262,402,
245,920,014,410,205,141,938,288,698,492,020,265,561,786,378,369,604,209,595,
975,105,632,140,190,006,321,445,145,332,932,515,006,485,763,678,569,904,591,
484,597,163,859,989,428,799,555,413,475,020,471,026,166,198,401,997,095,860,
769,096,374,345,475,396,471,159,014,451,441,592,958,545,395,721,351,760,431,
097,192,779,757,456,080,203,110,110,129,427,324,006,316,453,021,607,152,163,
896,112,523,913,166,635,175,681,439,069,579,682,864,431,266,512,212,987,337,
482,046,021,195,355,467,322,074,786,159,611,995,295,569,645,017,048,911,574,
308,359,349,825,903,605,582,502,164,720,158,707,249,617,025,275,706,096,298,
958,746,040,104,739,413,734,650,627,612,710,816,696,619,039,267,492,092,676,
323,669,812,886,089,454,596,002,509,544,303,689,443,622,336,072,392,624,662,
037,787,487,493,609,043,164,671,734,090,293,473,539,022,668,757,410,967,311,
247,024,989,130,355,182,468,655,957,968,319,391,344,921,322,852,060,245,405,
428,931,998,345,812,804,540,651,467,910,624,184,829,498,941,918,285,575,793,
298,935,126,693,514,364,785,052,817,135,221,784,064,483,163,330,453,709,277,
820,930,392,673,611,980,222,898,471,697,354,976,345,956,541,213,516,150,713,
894,864,556,236,436,738,275,195,369,952,132,546,198,754,960,020,717,412,253,
830,611,420,906,271,435,114,424,068,624,839,625,638,676,155,721,636,941,983,
679,189,802,069,504,919,054,900,233,763,856,449,304,522,444,564,884,004,302,
254,287,555,631,358,493,799,985,341,088,152,591,188,082,025,157,917,809,341,
974,598,877,161,183,343,685,634,992,498,207,211,543,025,674,822,506,098,767,
053,641,485,569,753,263,719,342,351,674,797,122,398,439,897,029,714,507,641,
709,324,861,626,058,970,376,861,819,090,713,213,632,943,599,954,443,039,797,
874,504,059,792,524,337,872,315,030,120,247,470,054,041,340,851,373,534,983,
795,187,962,292,127,192,813,807,708,448,686,318,385,421,924,939,759,324,863,
000,242,849,695,595,330,108,643,019,111,476,728,679,371,109,301,847,005,935,
453,446,899,868,107,360,478,576,313,900,291,160,252,188,634,207,278,881,263,
027,175,572,961,494,679,109,594,070,281,849,118,500,809,049,607,403,527,823,
138,975,533,565,997,718,324,498,318,846,256,222,662,394,049,463,677,477,315,
839,630,020,003,239,646,393,784,639,817,744,515,220,262,472,291,905,904,913,
228,007,502,377,479,802,125,101,558,510,567,461,262,985,630,990,772,489,587,
701,380,834,150,029,157,050,628,476,406,400,138,650,257,553,940,521,718,546,
502,717,111,015,100,175,433,015,683,441,356,972,650,001,079,471,220,280,303,
943,318,527,541,638,511,939,290,270,718,872,863,474,201,759,498,158,424,513,
736,124,607,754,938,562,632,438,601,974,943,402,034,731,350,602,915,626,666,
624,421,511,028,227,188,122,465,281,303,533,878,729,431,807,190,377,649,557,
524,977,824,097,624,852,640,394,759,018,089,544,131,762,424,622,577,974,340,
445,658,561,747,763,420,074,721,757,053,937,281,613,421,485,637,889,779,139,
210,717,109,951,637,217,651,208,323,344,812,660,150,010,123,474,008,505,596,
237,399,383,915,247,609,051,943,114,329,983,987,455,487,019,618,373,953,559,
591,913,318,538,943,124,646,948,376,219,615,354,871,565,001,196,650,925,210,
592,199,586,383,625,676,471,918,604,401,793,341,513,718,395,011,395,401,560,
226,307,324,231,493,076,005,875,549,093,799,161,763,842,319,770,820,410,249,
829,103,862,026,847,715,818,175,474,361,679,398,166,692,961,914,087,929,527,
772,689,928,665,199,509,575,499,282,985,474,230,148,613,329,843,797,440,377,
614,517,842,334,687,608,334,137,388,868,813,212,381,507,376,825,237,189,536,
765,726,399,956,304,848,781,182,466,172,437,467,452,968,603,305,134,840,681,
634,933,147,816,520,481,138,644,529,010,864,390,884,158,188,804,964,086,085,
089,515,424,010,773,755,090,173,943,459,816,491,541,221,933,704,647,679,949,
590,485,634,401,253,620,736,294,250,818,009,859,289,297,648,463,230,629,954,
311,211,764,830,462,184,748,960,191,119,309,099,075,559,156,078,138,437,880,
781,798,150,103,301,851,887,676,721,961,646,386,398,122,302,116,844,069,659,
247,198,566,377,860,774,864,096,502,712,682,380,253,155,164,191,961,793,099,
386,079,102,520,747,332,881,534,718,005,911,032,383,199,985,873,436,462,632,
963,569,233,398,249,975,536,376,747,139,092,095,032,671,586,239,580,919,519,
081,219,974,604,342,881,105,526,660,375,698,018,193,017,847,475,933,763,613,
929,135,646,963,943,124,692,774,059,213,505,642,186,524,571,099,758,765,626,
215,478,296,790,658,979,927,371,165,178,782,337,869,709,422,059,380,051,186,
142,934,446,197,699,142,102,537,459,287,843,334,588,781,591,664,678,685,595,
995,146,133,076,463,475,626,530,066,947,985,230,481,538,500,266,123,086,793,
344,599,669,002,334,025,399,319,161,902,623,003,323,474,356,281,731,223,141,
380,735,900,891,570,488,546,384,372,514,840,636,720,097,170,206,043,946,647,
857,266,766,665,637,597,775,306,043,132,089,043,248,971,193,320,068,559,143,
629,450,753,888,773,672,546,971,071,968,025,313,591,627,701,519,263,750,679,
943,435,697,210,769,563,804,644,648,871,465,545,184,704,576,897,278,314,632,
291,990,282,026,397,193,950,764,132,817,955,283,650,780,296,396,264,803,102,
629,783,121,758,084,769,164,370,004,040,320,447,848,146,487,108,846,383,800,
563,192,265,169,297,422,085,583,026,160,094,976,907,099,378,538,449,065,190,
948,451,875,312,680,556,808,434,178,823,560,777,865,472,475,934,085,804,017,
195,861,247,953,491,006,178,021,859,523,441,161,548,643,714,548,652,839,523,
406,094,938,450,101,619,090,074,199,671,407,830,991,339,171,800,540,673,456,
343,649,557,983,477,860,016,230,152,041,920,746,220,951,451,725,669,051,785,
253,298,862,554,279,222,293,588,579,755,403,952,229,219,369,175,687,772,798,
929,091,622,277,625,170,912,305,056,395,286,566,848,840,114,405,204,544,826,
862,431,859,816,549,004,152,545,242,082,260,539,265,861,037,349,545,427,957,
645,970,084,596,813,616,973,839,069,365,785,102,323,084,326,416,544,032,042,
536,287,800,513,582,432,706,642,123,019,993,441,859,429,632,863,697,265,123,
925,563,808,288,046,712,591,776,314,429,843,192,011,905,634,511,610,295,636,
115,614,926,851,164,423,830,907,912,919,715,464,178,422,429,182,182,232,718,
519,054,154,985,707,867,895,520,352,882,327,150,797,040,376,446,541,703,503,
045,861,769,948,214,160,216,350,623,055,154,598,517,655,470,904,007,342,026,
509,766,022,390,452,021,233,257,978,467,149,130,681,993,417,597,548,758,680,
874,143,340,400,939,050,825,576,649,911,160,429,704,170,987,256,447,243,416,
968,245,844,315,047,570,252,835,988,724,102,521,347,353,107,556,736,641,496,
590,120,586,314,327,467,561,284,280,335,038,232,097,946,614,670,861,741,983,
983,569,686,569,783,140,231,772,324,744,993,281,157,553,217,949,229,341,029,
434,445,712,778,310,580,163,939,242,326,338,176,253,180,205,658,421,960,071,
041,010,016,361,135,136,752,629,991,073,534,739,389,159,671,347,634,854,632,
629,647,773,585,372,505,766,961,216,636,303,550,642,960,744,641,072,306,240,
971,997,534,482,765,554,279,980,537,156,780,732,596,469,617,049,188,095,256,
420,735,436,155,418,095,645,762,099,316,823,822,275,834,315,205,710,057,370,
967,504,836,771,758,412,827,194,435,210,364,926,543,849,544,057,031,446,088,
890,601,475,711,529,436,869,557,710,913,176,618,768,246,085,676,989,042,363,
752,215,352,940,127,899,803,003,866,877,810,694,327,603,511,615,388,083,327,
264,908,128,795,269,101,268,563,258,080,928,478,756,499,589,786,942,934,616,
854,428,566,569,046,003,714,484,319,221,502,770,282,470,092,564,011,797,660,
706,975,750,602,819,716,900,726,176,473,746,899,412,549,596,208,312,406,870,
988,287,608,369,988,292,436,514,474,665,374,503,572,547,128,681,397,747,018,
750,581,206,781,574,443,833,224,652,046,390,622,299,489,121,390,764,634,768,
377,213,788,711,021,140,835,008,782,016,728,050,334,922,133,831,952,805,904,
786,702,581,303,384,868,046,805,340,852,952,248,585,216,580,860,976,041,251,
926,262,984,059,035,084,148,901,057,505,451,020,297,277,004,723,281,645,594,
225,352,061,234,669,381,491,936,333,304,002,218,787,313,620,507,865,008,353,
839,943,237,374,815,196,424,105,763,183,852,151,639,244,875,901,339,201,102,
726,474,831,907,312,877,429,291,010,374,178,557,474,616,650,936,235,416,057,
649,627,279,481,058,116,364,362,650,001,731,617,035,107,149,690,526,573,740,
013,298,423,179,758,055,931,278,865,724,404,074,110,155,064,730,370,023,218,
277,178,405,080,659,481,152,906,784,028,200,258,562,053,208,571,846,428,616,
695,366,342,990,825,538,294,613,826,912,977,874,465,701,429,077,085,373,051,
059,245,021,095,479,145,649,847,621,246,377,912,125,485,922,085,249,903,360,
945,623,935,847,443,263,664,640,185,907,559,550,773,408,953,419,834,237,008,
696,318,970,827,889,094,389,700,217,013,017,864,611,933,938,339,601,389,837,
050,052,752,769,398,593,681,456,708,701,316,229,178,669,904,770,170,882,313,
746,471,282,582,582,141,112,390,575,330,144,671,959,779,386,216,080,401,530,
393,905,934,154,728,490,491,700,546,513,567,880,999,215,115,093,650,560,511,
344,070,248,416,541,953,359,919,041,181,917,768,145,646,573,643,918,247,702,
302,225,134,679,236,479,501,258,090,557,988,867,760,920,056,353,638,964,219,
329,597,666,526,187,633,673,093,261,358,361,518,020,143,341,231,258,071,781,
447,540,904,680,757,956,448,491,683,117,235,533,354,910,354,748,219,154,904,
355,756,759,460,927,942,891,087,756,471,584,993,140,404,577,717,868,701,816,
636,893,249,074,588,318,726,571,562,766,975,493,852,344,706,197,194,811,818,
642,763,190,910,132,793,557,378,578,559,188,101,429,405,213,655,292,646,641,
693,520,803,688,904,403,758,522,617,883,037,783,167,011,511,314,126,630,365,
682,326,084,216,569,212,844,666,436,553,784,136,867,865,544,430,955,617,997,
777,854,888,778,063,440,640,185,699,581,446,559,996,908,750,975,104,495,035,
133,258,451,644,646,386,361,224,294,622,800,804,449,145,307,868,942,813,792,
698,656,580,930,059,767,022,040,407,577,753,658,455,697,397,723,730,760,902,
758,480,120,117,791,554,663,764,001,979,013,760,712,820,895,986,668,662,408,
268,970,770,500,950,818,733,366,919,581,363,101,646,911,724,435,663,542,125,
599,716,284,004,503,820,325,120,526,947,192,252,769,815,279,268,989,381,441,
937,257,528,571,732,457,241,096,749,393,907,272,718,353,788,578,457,550,821,
763,175,229,183,157,545,437,352,344,758,182,054,748,272,590,076,214,117,513,
257,664,707,878,375,380,036,562,384,105,729,789,142,343,710,148,978,767,521,
321,599,695,079,443,789,623,621,546,134,703,396,720,305,010,646,302,619,729,
684,552,037,603,054,220,957,821,578,736,895,842,003,718,477,098,297,480,471,
006,896,672,591,642,827,321,479,877,319,154,399,508,935,158,348,629,428,773,
459,698,807,609,540,084,630,501,937,309,457,398,915,625,959,048,900,539,390,
584,049,333,524,907,475,663,918,841,753,715,719,014,016,687,940,438,397,420,
978,095,458,405,931,308,680,272,544,053,181,886,669,685,636,527,684,514,702,
970,003,441,095,401,857,291,622,233,401,714,936,104,285,499,204,173,956,761,
697,437,680,801,596,016,323,728,561,586,394,056,681,826,512,640,156,423,280,
440,937,218,146,254,412,301,846,430,069,794,245,499,851,884,108,748,428,587,
701,960,147,835,328,877,099,444,628,192,327,441,644,091,499,165,533,879,486,
527,092,783,434,909,825,484,683,248,605,562,186,294,522,081,051,709,479,505,
296,627,854,300,733,637,454,332,241,666,863,514,921,690,521,931,047,968,253,
637,774,982,888,766,230,556,624,121,120,235,132,975,565,728,309,476,002,950,
831,349,904,733,597,721,664,024,300,172,874,213,741,561,441,599,266,320,792,
134,741,001,503,405,037,259,335,137,744,311,236,717,193,451,777,554,986,602,
118,845,963,410,615,151,571,508,737,916,561,475,048,379,816,807,234,898,893,
298,325,741,490,497,694,290,140,705,395,976,997,577,048,907,821,869,508,784,
505,404,055,722,381,266,507,276,515,648,567,926,434,689,042,278,405,249,748,
058,798,246,763,879,590,348,431,848,606,536,140,985,049,079,011,003,443,862,
919,646,642,978,279,804,947,021,301,664,144,465,527,828,451,219,579,469,286,
525,549,605,434,705,239,742,137,849,909,091,538,428,083,528,918,793,906,793,
421,393,549,669,497,051,268,879,665,892,373,519,371,087,863,069,109,510,532,
531,364,914,612,603,420,314,089,572,256,150,757,407,469,888,420,045,654,474,
625,545,311,341,544,983,010,935,627,252,553,478,102,301,247,248,659,126,709,
569,178,061,168,353,279,514,140,889,247,022,354,271,901,700,003,615,653,604,
371,583,259,790,314,653,542,214,440,223,189,459,624,586,050,260,240,247,147,
952,275,109,845,472,341,396,453,920,297,938,291,434,068,754,647,922,931,888,
102,789,289,003,745,409,465,799,552,542,898,537,797,610,185,403,370,034,070,
853,739,915,972,667,899,910,126,103,239,617,256,007,825,652,225,796,066,199,
128,021,357,299,941,317,324,496,844,410,598,511,837,937,542,300,266,441,665,
565,452,282,457,665,018,229,688,950,238,955,270,513,091,640,719,719,242,513,
944,778,649,157,985,512,360,468,983,797,192,840,531,307,607,509,527,965,628,
485,744,720,576,456,674,404,146,169,169,773,374,221,253,821,878,116,853,392,
539,642,096,108,637,196,994,697,613,132,492,239,195,608,388,371,332,685,960,
760,727,560,848,470,361,856,213,541,636,281,677,179,749,721,383,150,855,247,
363,026,330,155,086,595,601,122,563,194,867,205,406,007,380,565,839,120,881,
799,254,591,482,271,320,214,452,984,719,661,594,882,595,332,807,516,679,978,
750,293,244,733,747,926,364,188,701,757,656,499,738,375,837,704,462,900,105,
672,793,355,182,694,667,886,952,792,262,280,590,280,343,672,631,871,754,450,
584,194,390,558,125,083,868,010,816,322,066,297,012,373,443,516,946,459,424,
612,508,049,478,653,320,529,354,513,027,112,751,116,300,728,325,019,708,775,
338,610,006,050,318,735,621,154,025,519,534,415,392,902,670,331,485,850,888,
379,464,848,659,261,322,348,072,381,741,446,311,914,210,093,924,365,003,469,
352,626,829,775,709,708,188,067,737,505,634,614,502,760,674,093,887,711,856,
028,348,429,036,166,915,088,310,822,078,513,171,102,422,530,526,784,678,736,
159,852,782,673,158,706,928,268,585,462,710,708,129,116,407,928,966,515,858,
640,713,983,982,613,127,751,164,786,377,805,168,813,847,057,287,117,287,399,
759,005,790,547,120,991,791,224,535,746,566,304,229,522,516,182,737,720,456,
121,842,461,522,658,912,369,144,214,513,130,556,039,419,655,358,522,026,735,
374,470,708,593,582,516,133,776,436,173,983,346,662,513,222,796,800,293,357,
434,038,975,759,199,384,072,954,342,658,738,363,315,080,067,516,652,843,578,
782,431,987,471,615,153,996,241,309,647,752,358,746,329,074,729,439,604,267,
963,559,042,080,095,160,552,002,140,217,623,161,873,861,748,274,528,567,320,
831,576,348,733,791,434,328,470,072,651,421,098,114,842,379,309,822,330,195,
964,118,901,435,865,505,495,715,024,999,733,682,522,326,857,515,271,737,462,
213,608,017,333,295,907,117,600,229,118,218,703,433,596,699,935,018,489,333,
074,648,759,040,250,298,765,860,008,269,838,742,281,536,177,036,221,927,730,
556,324,083,302,124,919,455,370,948,231,698,615,303,325,618,017,637,519,241,
331,006,674,990,770,341,468,010,940,991,992,448,791,193,387,514,596,580,534,
261,321,012,995,558,280,722,484,841,152,845,723,807,394,608,095,430,481,016,
680,627,975,132,941,554,186,676,002,842,213,747,725,158,138,187,995,548,173,
628,168,456,950,895,299,420,802,240,015,868,925,252,491,579,940,325,267,084,
863,037,198,172,323,531,022,100,113,127,406,443,799,396,898,313,026,175,146,
660,634,733,172,376,667,835,804,337,471,789,962,163,952,562,927,688,811,634,
287,347,679,546,269,919,271,273,051,280,405,598,364,874,834,804,718,324,967,
923,848,211,971,582,760,450,274,829,786,613,282,324,106,997,944,775,613,726,
120,928,333,336,780,121,933,949,736,537,352,310,498,019,999,141,696,945,012,
242,179,850,462,795,211,707,653,473,607,661,867,518,602,212,105,841,736,892,
446,339,678,151,394,067,283,551,254,918,492,671,462,561,481,067,498,645,649,
586,877,882,978,586,411,532,772,904,511,356,028,897,596,097,267,467,365,718,
933,091,019,883,296,998,972,810,764,844,385,585,792,655,410,557,788,718,987,
613,599,179,168,390,492,416,138,254,808,476,183,316,911,007,731,374,143,614,
939,196,526,159,130,437,020,317,057,622,754,873,855,412,864,788,946,057,339,
979,013,398,439,050,663,340,428,384,314,482,875,383,274,488,602,397,012,324,
589,727,812,273,157,046,219,856,413,424,278,876,033,765,770,580,257,985,863,
868,174,960,859,085,002,094,643,170,043,237,490,244,916,752,981,031,516,995,
673,541,298,282,044,286,303,182,868,166,212,334,036,676,188,430,695,985,010,
980,447,616,440,734,954,973,574,926,540,468,653,813,278,736,577,102,007,844,
700,826,809,655,731,406,172,731,027,859,539,074,382,170,958,460,089,729,701,
774,228,422,159,181,768,110,835,883,351,523,576,799,696,140,437,938,761,356,
922,607,115,687,742,355,831,761,512,882,168,087,372,303,330,503,746,846,229,
311,666,352,745,274,380,158,920,872,370,339,456,323,988,520,472,243,968,834,
428,666,562,852,088,534,777,073,814,144,802,091,630,477,808,958,649,276,666,
854,467,767,129,480,137,150,003,614,002,722,920,242,987,669,113,904,806,271,
777,430,968,451,312,597,848,650,035,563,524,892,066,899,103,549,789,086,208,
727,219,140,305,714,398,441,161,182,820,490,065,796,316,889,065,877,181,230,
565,107,415,985,635,619,037,101,559,868,935,226,027,419,969,222,482,179,265,
784,534,669,485,957,423,948,278,981,877,294,698,065,699,742,698,299,462,301,
363,551,308,703,581,828,126,006,756,145,565,265,578,583,532,849,562,380,670,
761,161,272,431,137,286,845,134,710,683,499,097,537,455,550,707,996,747,609,
697,117,925,879,597,114,489,049,559,146,894,429,762,136,782,605,178,156,100,
903,686,767,521,894,512,876,475,216,214,677,259,658,262,416,038,843,702,716,
612,250,051,528,671,664,153,430,005,594,449,493,162,817,008,440,308,346,310,
012,717,981,495,125,407,756,185,209,810,765,506,268,197,945,321,343,316,625,
178,292,965,093,750,142,667,556,705,614,395,531,579,040,593,475,230,448,561,
228,491,718,460,832,510,620,668,660,881,777,717,826,872,582,732,337,216,073,
044,418,891,420,239,395,208,255,577,684,133,488,959,793,819,748,036,637,898,
052,322,538,323,665,685,386,715,571,984,626,067,501,742,941,313,520,708,803,
917,237,697,838,978,251,196,027,575,072,835,249,233,912,987,356,168,110,908,
696,062,400,662,267,803,676,254,986,055,517,484,428,471,868,655,382,465,232,
547,501,415,215,350,604,159,018,834,050,143,062,836,760,927,287,154,896,065,
882,124,865,031,133,520,478,151,451,125,657,901,895,822,550,736,916,173,864,
553,190,468,241,467,717,725,897,625,783,041,608,824,103,525,112,684,577,935,
084,232,448,999,476,240,430,293,495,306,996,607,662,195,060,048,442,132,038,
670,003,194,053,764,518,607,096,808,562,670,235,692,869,734,220,554,659,866,
736,816,149,093,502,292,607,377,361,861,831,732,930,255,330,563,755,784,520,
151,431,409,720,243,393,354,683,391,544,777,008,650,183,738,431,624,205,363,
889,539,214,386,517,773,809,311,493,166,901,853,214,485,468,516,637,074,166,
824,363,442,001,502,485,121,005,177,135,760,767,297,719,255,008,368,692,179,
916,517,332,400,444,408,420,872,240,636,003,447,521,081,462,137,379,495,548,
751,286,878,987,515,760,997,286,846,957,029,700,384,792,679,884,203,083,164,
320,475,745,145,560,383,615,922,271,162,902,315,928,092,226,836,023,326,842,
287,021,172,865,850,552,985,835,924,123,610,619,394,404,809,117,077,655,221,
999,233,830,714,689,184,086,427,329,663,943,102,074,759,679,120,614,744,395,
996,881,059,856,516,657,166,784,700,749,473,787,416,471,815,513,500,593,841,
715,965,067,821,139,798,414,819,977,704,952,594,886,426,101,623,795,021,464,
593,676,081,492,956,517,425,255,068,390,831,369,501,336,020,731,867,063,175,
434,733,054,002,593,528,045,728,040,355,652,187,577,478,433,755,257,766,635,
599,500,839,318,780,300,792,467,679,535,732,599,869,023,935,955,259,251,652,
941,760,725,513,008,484,627,469,801,292,494,980,502,061,720,460,476,329,645,
290,764,092,727,806,996,256,776,020,891,282,042,309,018,985,183,138,770,221,
366,004,158,697,791,763,398,209,586,232,315,921,628,412,254,268,033,207,194,
875,399,857,752,076,226,443,724,460,861,970,728,126,555,965,938,975,536,546,
228,997,337,611,067,642,965,836,768,436,530,800,131,286,724,544,203,944,384,
685,827,546,376,120,829,118,466,179,454,951,672,666,126,937,898,803,565,175,
832,199,717,749,870,246,034,670,247,845,331,431,837,670,928,674,120,250,904,
652,836,655,793,625,527,605,540,267,647,602,133,909,020,772,613,751,155,465,
898,570,121,774,738,908,406,117,292,848,540,973,315,061,095,465,532,090,680,
677,709,481,148,874,778,831,338,116,931,866,581,660,189,314,395,118,929,942,
107,724,570,968,588,434,088,663,509,607,152,019,942,168,172,507,755,547,553,
890,063,172,540,534,008,755,077,818,296,846,387,773,204,178,018,490,719,407,
820,433,742,065,675,906,796,955,230,535,790,369,559,795,393,773,271,767,194,
009,278,332,221,955,088,399,732,196,499,382,666,050,880,392,941,840,244,833,
910,720,459,153,331,573,407,141,235,337,992,919,169,620,128,993,789,275,494,
267,952,112,918,448,852,900,348,339,796,950,971,592,822,671,051,076,347,096,
231,928,226,256,104,949,698,339,335,358,012,720,066,454,966,275,300,733,154,
807,924,140,385,658,518,815,236,664,706,192,187,882,440,963,467,328,242,716,
238,589,389,713,025,177,494,635,708,416,837,248,943,169,056,260,511,595,104,
726,405,757,276,726,533,384,831,911,757,541,841,579,667,912,035,553,880,687,
132,447,813,414,606,568,746,952,641,250,413,154,180,016,874,694,340,981,012,
023,481,801,853,247,596,123,878,775,349,831,073,075,945,269,820,183,067,326,
607,577,018,047,088,135,086,931,159,763,609,633,309,865,176,242,048,156,326,
957,757,672,636,190,797,906,097,528,566,827,896,451,649,579,889,506,602,062,
511,906,799,236,726,684,655,572,966,779,030,487,523,396,552,931,456,180,964,
122,158,804,467,081,948,512,556,464,815,521,260,355,928,705,642,739,840,661,
523,973,583,564,971,591,490,583,749,568,256,542,947,603,607,753,140,588,930,
041,553,713,314,074,863,059,782,674,661,580,572,446,205,422,327,051,487,426,
037,100,658,473,703,994,235,777,896,218,102,485,425,395,329,716,276,838,965,
175,505,781,782,051,407,542,583,487,666,387,184,500,577,778,400,896,647,208,
158,709,444,481,222,435,042,630,839,355,659,770,988,359,308,448,959,731,298,
831,867,591,596,650,847,585,097,694,476,614,562,002,078,260,762,076,379,874,
633,730,162,683,769,225,628,854,939,896,593,988,567,357,604,685,980,290,194,
470,489,238,725,496,824,438,806,478,053,763,350,492,456,372,569,580,375,204,
923,646,007,058,544,844,327,236,766,479,138,584,108,265,781,782,568,645,927,
755,079,456,313,164,352,243,843,461,838,826,612,810,207,578,974,286,722,228,
339,236,391,246,117,967,747,806,708,165,138,546,458,452,189,052,991,334,979,
445,056,722,059,958,809,438,499,890,109,861,311,981,067,444,550,249,458,419,
448,586,078,582,095,587,086,863,612,964,121,320,907,257,061,382,179,528,059,
983,494,758,886,179,005,047,464,487,548,769,643,512,310,009,084,222,310,902,
117,295,453,088,578,473,373,878,367,230,765,529,717,480,479,097,671,569,127,
718,714,448,490,860,563,363,099,298,944,528,642,573,223,816,976,741,775,994,
973,286,607,134,251,729,529,825,528,859,341,199,208,122,089,824,549,694,518,
858,820,080,917,332,427,237,013,185,929,342,625,128,132,646,888,384,632,202,
737,407,682,100,687,292,086,815,610,805,888,907,609,648,657,873,569,769,132,
289,130,420,889,886,619,767,960,198,863,887,001,823,955,165,457,157,342,546,
032,031,775,589,128,412,869,062,836,767,264,892,403,285,081,142,278,160,838,
496,339,012,163,756,551,097,757,480,545,970,904,987,804,821,977,441,691,155,
934,440,375,089,287,629,130,412,057,378,985,913,186,494,078,803,227,035,678,
966,211,045,759,419,725,248,939,292,984,005,741,363,960,552,286,792,624,725,
762,228,806,965,444,441,358,941,418,452,511,311,715,144,922,195,647,412,730,
224,320,595,075,880,980,577,310,350,463,202,754,257,922,859,712,326,455,701,
971,251,665,624,149,255,270,315,388,500,901,551,471,749,478,499,947,733,089,
303,531,331,991,484,122,638,680,023,966,287,205,980,163,270,384,423,085,167,
033,750,852,013,961,831,084,089,767,288,318,777,184,753,786,308,126,320,670,
066,749,709,292,788,765,318,113,919,565,643,433,332,004,947,297,494,765,407,
471,476,666,322,438,035,385,908,190,293,561,505,686,194,237,430,993,531,888,
564,021,346,079,282,233,869,666,274,933,153,686,529,466,478,235,796,317,175,
918,234,955,473,956,052,803,909,922,461,577,949,382,143,939,734,146,961,598,
989,084,759,972,094,795,375,873,840,359,049,285,664,509,338,246,461,759,230,
190,975,462,815,965,195,316,949,690,433,579,387,308,045,667,704,740,463,396,
653,510,623,121,335,805,342,674,933,345,332,520,837,096,905,285,758,238,300,
420,843,471,983,551,194,073,309,668,419,406,593,071,074,004,396,412,068,039,
187,109,455,595,466,458,464,455,327,254,742,593,124,935,936,482,402,148,461,
210,105,907,856,667,975,795,772,858,262,370,043,285,860,379,495,827,249,491,
976,665,573,453,910,894,833,310,383,985,060,801,859,232,047,898,350,816,122,
101,790,777,170,551,478,653,236,208,404,344,966,871,614,332,813,652,422,120,
821,323,402,882,589,604,244,361,088,634,831,362,323,480,351,937,932,094,270,
417,182,783,641,558,666,133,348,763,533,540,940,109,553,712,836,363,760,337,
546,759,073,913,881,273,091,637,519,807,892,369,070,451,130,514,589,990,945,
380,246,563,430,802,663,855,159,334,035,926,130,396,488,554,729,497,229,236,
516,835,542,410,610,459,687,755,057,165,548,431,085,186,643,448,209,093,703,
908,493,731,707,931,720,017,772,493,216,431,966,063,468,112,765,223,878,661,
340,564,132,411,032,959,694,054,294,016,909,733,481,821,431,588,698,530,915,
345,222,138,387,291,316,077,579,338,614,450,037,322,462,878,488,146,035,205,
571,521,478,790,189,333,453,563,854,964,271,064,439,916,225,030,578,309,306,
939,943,139,603,907,299,414,537,799,528,619,904,867,105,841,460,010,480,016,
939,945,747,066,489,665,986,953,078,147,449,366,619,605,165,779,150,447,429,
506,275,005,370,501,315,044,380,843,509,497,599,450,078,392,718,559,291,324,
056,968,291,925,094,505,159,843,369,633,793,140,288,128,447,199,211,404,731,
925,113,577,950,773,372,961,060,271,478,274,345,531,707,720,935,479,543,111,
579,625,615,252,879,016,288,025,456,074,606,874,542,916,116,788,868,833,663,
367,716,689,713,715,874,180,318,256,241,792,501,448,485,643,786,548,341,101,
352,680,993,850,590,239,838,716,995,444,326,432,052,049,766,712,623,969,919,
104,858,905,344,349,185,149,831,700,905,945,478,286,605,434,114,799,285,557,
136,839,889,470,393,113,385,747,035,978,935,072,245,333,908,580,166,310,850,
906,260,715,546,155,132,573,142,571,025,535,079,591,785,246,174,565,928,726,
105,249,924,680,118,830,468,777,745,839,881,584,898,809,734,760,477,427,596,
986,661,950,426,934,271,132,734,041,205,273,359,624,340,665,741,316,863,042,
422,238,763,482,622,477,395,467,345,030,986,919,086,041,196,759,523,928,954,
286,959,906,310,422,788,725,140,798,166,115,282,514,831,564,295,789,974,735,
785,716,051,522,067,196,009,586,334,704,053,350,844,209,340,250,250,631,831,
480,803,249,959,914,457,350,700,121,790,371,725,478,006,097,942,028,248,742,
171,901,182,274,640,101,889,147,996,508,239,029,395,557,726,944,497,948,317,
217,566,189,691,437,195,971,316,773,198,619,735,837,051,753,055,312,287,824,
978,477,703,407,677,581,758,425,375,885,494,180,842,996,914,991,277,637,007,
725,950,298,422,142,501,419,714,040,437,048,946,776,886,155,894,369,470,710,
936,919,555,376,051,880,728,117,351,557,517,001,288,397,160,960,440,944,949,
545,367,444,518,751,960,408,498,412,374,288,746,377,392,780,456,594,713,263,
625,368,091,443,283,044,764,840,906,379,908,041,623,508,192,144,137,874,622,
747,791,217,435,662,966,809,217,167,676,190,536,164,652,612,428,494,085,746,
732,218,398,544,789,875,736,539,742,101,696,887,823,289,088,533,646,714,957,
808,150,513,951,002,905,408,843,563,178,680,025,530,020,678,627,713,877,065,
900,548,638,599,808,805,346,791,026,335,229,221,092,783,962,347,384,476,513,
843,430,476,299,083,110,420,877,957,905,559,249,442,425,539,378,756,582,028,
480,293,849,685,649,554,353,244,623,745,733,708,718,524,595,079,932,407,610,
926,623,658,401,092,140,771,345,799,008,848,424,408,169,311,254,857,939,042,
834,556,720,832,475,532,648,886,529,063,451,637,759,805,545,371,212,387,700,
741,150,268,090,560,488,602,367,753,555,232,755,040,745,633,972,035,312,469,
720,098,806,229,019,482,902,214,860,442,783,360,584,690,042,314,891,885,122,
094,151,192,571,126,463,831,311,350,510,934,960,234,430,602,068,846,401,542,
330,639,044,514,265,011,888,370,586,140,271,325,698,904,187,406,993,967,021,
020,950,960,881,771,611,701,022,588,862,120,297,272,516,419,722,494,911,758,
888,035,102,728,809,761,399,053,278,042,189,123,807,789,200,297,209,122,130,
739,261,822,925,952,143,739,580,152,219,754,623,717,842,709,658,689,136,627,
304,497,820,058,800,242,228,877,670,939,210,996,696,278,541,118,642,980,834,
508,604,418,707,784,653,324,353,089,320,882,763,445,790,484,931,727,395,703,
729,518,240,758,134,717,866,151,019,002,724,096,407,926,358,158,011,348,124,
672,762,157,721,428,098,670,474,959,249,564,459,047,601,734,037,343,076,347,
668,132,538,417,756,292,625,118,081,679,294,807,896,004,215,022,974,182,029,
558,927,796,980,560,659,251,205,596,978,747,174,163,027,943,934,595,497,666,
842,660,411,383,520,053,415,841,990,907,694,644,871,840,356,623,072,552,717,
938,607,351,158,391,155,358,550,532,362,064,349,533,927,464,176,534,903,568,
721,004,525,673,240,866,851,401,547,086,251,946,523,340,015,028,775,178,784,
505,278,990,477,015,584,010,844,433,430,566,734,906,766,925,368,216,177,338,
042,867,546,040,241,549,263,599,514,387,340,166,255,506,912,880,621,949,066,
649,248,132,301,355,606,972,457,482,762,056,776,199,589,519,475,494,305,469,
201,650,480,200,689,166,874,433,765,263,474,826,115,657,008,579,684,793,010,
438,793,408,412,877,343,346,121,063,598,130,671,856,105,503,247,676,553,444,
175,380,961,923,182,529,057,736,534,331,785,214,579,735,224,133,796,270,719,
681,745,351,713,249,889,228,272,448,488,491,983,451,973,005,282,155,534,574,
464,127,066,601,079,743,051,940,325,111,038,655,222,046,016,685,059,933,222,
201,807,567,342,860,635,879,358,013,357,436,068,952,880,720,496,434,102,845,
445,166,318,562,576,469,926,779,970,655,155,840,239,270,982,842,302,726,200,
214,027,221,471,130,893,703,149,132,053,463,406,983,298,754,197,658,636,355,
538,673,998,883,563,718,888,869,620,382,687,196,612,739,479,184,455,653,408,
591,880,167,437,191,820,046,618,154,270,795,541,733,733,643,133,908,008,619,
515,863,644,944,105,499,556,034,057,045,146,870,755,734,618,553,663,341,044,
140,889,296,976,717,889,215,523,041,689,173,686,451,452,814,151,856,451,852,
216,975,658,942,121,014,559,355,216,587,053,285,205,409,511,591,071,629,815,
208,540,783,110,756,667,390,729,921,763,796,512,073,074,246,373,546,817,252,
629,172,703,529,328,958,656,095,537,774,637,759,466,182,780,089,386,728,429,
255,019,089,166,064,408,359,652,967,008,248,944,433,862,595,782,939,693,219,
729,117,786,933,834,762,226,694,791,386,550,600,303,989,379,075,634,392,657,
380,130,534,883,011,504,802,708,998,412,620,390,310,216,529,417,266,877,476,
823,460,748,423,963,444,004,479,714,417,527,585,817,082,914,805,643,325,404,
583,303,207,055,336,871,291,809,405,606,793,572,628,529,837,608,904,890,167,
577,256,442,845,080,752,910,099,156,896,756,625,833,912,402,901,423,355,756,
978,866,542,648,437,040,734,327,306,597,286,962,258,470,000,066,297,548,296,
260,224,214,844,070,319,363,138,811,298,571,195,128,816,949,412,631,176,325,
491,777,634,200,948,133,149,945,635,265,106,204,392,690,982,319,927,575,442,
512,024,207,997,930,988,046,231,956,884,898,474,510,314,615,430,648,172,086,
531,273,742,564,071,840,483,557,677,261,585,764,805,599,426,411,760,002,645,
082,758,631,879,446,545,317,363,531,788,316,508,358,748,594,596,206,993,037,
679,277,815,028,260,123,204,249,623,276,840,364,337,371,417,614,334,210,666,
636,473,190,606,257,080,460,957,489,239,929,820,743,670,492,700,610,981,305,
987,072,633,726,717,630,243,017,360,254,896,468,362,096,591,603,909,049,372,
576,837,073,548,372,982,951,955,227,533,624,958,228,628,874,495,177,819,976,
925,795,926,244,948,071,213,856,094,035,183,962,799,439,061,492,963,144,394,
849,960,593,617,509,384,606,884,402,786,624,066,543,321,945,757,696,783,196,
949,189,599,008,911,591,372,833,410,609,256,122,134,791,003,088,107,123,955,
831,161,801,478,984,802,584,477,849,642,985,731,174,317,474,943,569,482,260,
166,591,866,196,259,845,654,892,701,550,281,239,769,008,472,925,359,767,101,
165,941,121,869,154,872,599,994,669,745,378,004,503,918,452,041,519,339,836,
208,104,661,277,485,764,288,544,704,335,570,723,506,143,834,845,014,899,068,
132,403,461,580,203,755,666,138,210,621,488,610,734,831,457,658,449,011,666,
524,289,031,090,642,656,751,982,852,043,229,057,147,828,800,878,050,710,925,
790,236,692,108,622,566,511,201,467,662,195,843,121,261,311,525,169,414,663,
657,045,063,020,578,323,428,013,607,021,097,559,008,853,019,281,487,828,639,
589,841,777,450,558,102,884,574,962,122,363,422,753,902,941,684,798,743,262,
390,476,543,476,314,213,912,569,502,516,682,473,801,817,795,817,357,904,378,
735,746,687,427,992,055,783,208,497,041,847,312,054,688,569,327,174,736,733,
997,769,294,234,631,223,956,871,813,138,698,496,099,519,491,443,525,954,035,
950,821,788,375,096,354,112,603,079,274,011,213,638,810,050,286,743,589,813,
971,599,073,768,432,834,045,793,383,890,191,637,396,001,755,315,891,372,309,
390,461,535,530,666,702,892,549,390,121,294,647,575,302,823,411,322,115,634,
563,727,091,548,058,780,434,782,123,386,671,882,892,325,557,142,418,322,425,
381,824,124,550,349,543,727,528,666,509,543,087,408,054,913,440,158,893,550,
764,644,201,522,819,804,976,346,900,473,991,061,945,354,612,348,330,238,109,
449,399,461,011,663,017,846,458,685,589,081,552,123,829,316,654,262,377,546,
240,307,054,555,394,468,005,938,026,023,539,931,358,238,183,753,063,359,919,
879,189,851,195,595,386,455,349,556,807,769,314,299,755,160,555,106,518,866,
482,743,384,506,687,581,895,164,814,261,744,174,803,265,115,651,958,187,714,
525,827,800,846,504,216,165,458,042,472,763,374,846,071,280,753,110,007,003,
558,631,193,520,603,164,622,947,246,773,740,928,226,551,506,718,392,788,461,
974,998,493,466,252,634,809,581,635,466,526,959,345,663,895,839,093,809,137,
701,908,483,909,945,509,935,331,675,750,248,122,498,888,623,940,749,168,347,
071,993,471,293,269,435,218,034,357,176,066,351,086,765,667,407,816,815,813,
188,326,178,503,736,800,133,985,962,926,367,278,193,017,869,765,164,386,037,
008,177,597,749,347,726,820,376,874,098,505,733,574,224,776,767,538,046,067,
231,088,226,423,086,520,846,093,441,372,889,045,691,114,533,755,641,466,550,
539,972,217,482,542,951,801,886,981,059,017,566,486,216,851,985,960,622,135,
655,402,073,771,802,887,923,847,734,806,042,766,814,513,677,601,229,234,499,
731,831,926,042,849,406,179,065,977,214,268,080,650,858,089,529,821,505,744,
624,184,653,220,766,398,122,905,178,544,239,621,548,707,713,728,439,901,330,
440,267,164,567,361,840,372,833,863,850,281,495,668,231,578,410,922,574,545,
711,306,682,264,588,265,585,435,068,116,450,211,949,406,304,490,157,787,380,
935,421,638,650,434,310,640,968,352,184,438,062,117,125,993,689,765,273,425,
060,697,715,463,051,379,988,150,279,567,464,194,938,506,444,604,148,268,784,
684,101,647,259,047,682,551,973,947,158,981,426,804,855,239,712,208,011,643,
070,812,249,534,692,407,308,987,557,267,228,322,908,626,172,671,057,728,470,
124,563,909,189,136,731,235,737,566,455,857,395,014,482,087,030,084,489,884,
039,962,920,691,008,355,197,093,175,281,606,003,122,490,483,429,921,654,903,
649,388,346,218,516,391,782,439,968,730,048,564,892,459,071,766,095,341,691,
975,722,211,744,404,028,711,160,394,948,911,003,116,531,194,725,159,136,004,
765,949,039,859,018,878,452,641,808,834,109,581,455,776,512,863,246,137,586,
466,843,657,709,723,760,637,646,723,657,310,432,125,116,675,955,243,129,482,
378,703,271,392,094,769,377,604,512,040,581,916,607,159,682,586,359,549,031,
785,398,077,227,973,524,674,464,551,804,884,108,216,696,125,590,472,147,494,
943,499,114,219,278,277,009,572,896,087,481,491,963,242,474,915,718,047,469,
673,540,778,020,181,383,054,583,929,406,223,355,979,284,107,392,081,790,988,
748,939,337,307,532,599,715,724,708,362,659,920,736,500,112,485,585,614,388,
350,836,735,652,217,358,219,399,951,714,224,335,017,028,083,589,051,496,252,
229,798,223,833,266,423,544,808,940,791,607,661,269,739,075,577,035,547,650,
439,476,982,907,494,845,510,973,596,073,067,740,412,127,128,668,610,414,179,
199,559,549,631,953,519,520,364,343,458,840,950,976,763,480,643,385,850,472,
458,766,129,736,706,181,107,423,991,177,622,520,035,196,567,344,925,675,014,
458,618,756,913,863,065,518,179,735,352,954,990,649,149,113,559,901,331,216,
409,356,243,311,571,241,178,833,099,782,096,670,061,969,200,400,632,610,926,
354,009,001,913,340,099,685,628,949,668,529,835,380,456,111,505,488,829,385,
248,325,855,707,409,883,340,776,285,713,326,754,181,225,600,973,519,870,999,
036,283,105,332,014,000,201,674,127,999,172,449,159,816,354,490,286,983,222,
707,101,439,605,428,640,025,373,023,212,547,217,547,604,598,798,005,801,969,
048,619,898,068,174,407,987,750,365,737,966,783,398,278,255,766,418,339,836,
796,665,215,535,039,244,367,346,236,879,891,784,950,839,763,099,528,011,740,
285,894,878,511,522,833,030,684,108,996,903,821,935,167,668,909,240,740,145,
979,568,018,153,072,788,169,970,840,186,455,540,514,404,778,916,529,600,723,
142,575,524,329,370,507,142,417,420,418,705,509,114,397,481,815,847,846,863,
490,671,864,833,356,840,451,691,000,057,902,551,677,549,410,033,191,301,880,
281,810,639,715,222,997,414,109,407,511,400,153,004,651,976,013,763,564,589,
276,852,286,675,567,189,601,336,949,730,502,670,866,307,274,347,686,865,930,
935,318,013,579,800,457,470,379,199,902,893,319,387,231,893,440,104,105,804,
928,490,610,887,611,333,121,066,962,114,074,843,444,023,200,129,024,970,736,
033,077,254,254,236,179,382,905,695,612,281,579,361,086,036,071,453,396,168,
777,941,849,664,717,215,796,727,021,920,073,559,905,689,054,506,261,717,120,
637,688,226,442,081,395,734,371,051,846,125,073,197,109,558,057,621,281,166,
744,235,931,908,227,613,930,909,429,753,237,947,931,828,893,518,183,853,095,
509,836,549,256,980,832,074,834,217,574,706,044,843,288,101,023,682,608,362,
952,548,114,772,674,196,555,351,315,993,352,372,306,773,855,886,087,596,128,
779,100,991,631,463,566,814,526,375,066,294,430,224,392,434,318,769,578,426,
133,460,499,823,834,134,212,389,213,814,007,318,398,403,699,784,647,525,092,
171,204,404,246,040,647,493,756,183,624,047,945,475,322,461,952,677,503,148,
081,652,132,524,006,688,476,993,437,063,658,678,182,489,125,075,740,264,334,
229,682,933,045,647,833,706,067,074,210,765,073,718,163,862,048,171,424,132,
237,076,929,120,829,920,945,750,242,610,739,307,818,920,731,497,730,948,441,
776,163,209,557,712,911,231,357,900,175,219,011,812,903,138,763,518,294,191,
174,221,760,057,822,510,351,242,477,716,433,235,752,753,989,706,102,666,676,
013,359,366,593,230,215,320,228,930,869,081,732,351,305,655,865,389,518,170,
323,687,840,893,068,184,742,958,407,497,035,257,905,407,482,370,331,181,796,
376,200,207,040,568,403,963,607,705,483,450,124,811,964,320,028,552,438,082,
717,536,822,710,589,690,923,734,284,282,470,511,029,812,496,362,281,641,342,
416,749,254,262,189,319,160,459,884,562,818,810,546,537,890,018,690,348,566,
009,517,200,906,296,598,421,656,837,058,165,327,297,075,481,681,823,122,639,
339,036,717,081,971,408,350,176,451,963,647,944,550,513,996,034,382,117,093,
772,383,292,854,470,777,329,044,825,987,720,015,637,739,746,968,097,555,432,
910,367,541,024,853,812,397,674,982,163,102,473,059,159,409,668,008,621,876,
655,252,713,378,744,352,190,072,786,540,510,453,356,226,847,013,244,046,596,
459,753,255,278,126,932,741,425,593,643,350,986,644,210,125,366,274,960,212,
671,439,765,747,147,278,932,570,546,097,903,002,849,596,550,323,336,031,024,
787,047,594,178,729,370,440,768,641,056,837,136,425,308,712,203,929,263,912,
953,533,102,537,962,232,554,231,859,584,906,094,034,504,092,729,423,433,367,
977,791,180,592,783,176,649,568,855,282,669,146,576,449,151,439,230,439,731,
666,680,823,871,401,559,523,946,453,149,592,111,157,181,976,512,357,546,267,
932,231,241,393,229,281,778,301,584,074,356,178,386,076,452,547,659,492,442,
519,768,798,936,037,203,869,516,347,959,634,420,842,635,059,931,741,571,402,
134,610,006,003,076,221,884,126,830,653,583,132,876,671,988,884,954,473,169,
688,756,400,954,629,459,293,078,608,807,091,628,825,668,486,879,381,414,623,
850,583,713,333,287,190,880,114,853,958,038,225,845,678,271,402,176,154,809,
275,169,887,071,071,010,213,817,175,356,947,982,612,680,500,724,802,531,294,
021,934,442,722,343,131,674,434,547,821,274,403,146,151,596,382,530,369,884,
385,805,561,586,275,624,753,048,319,885,582,159,001,701,571,794,437,290,153,
948,706,243,343,477,196,713,555,842,333,374,158,087,253,265,077,926,601,497,
632,936,495,735,116,082,811,334,874,833,243,183,848,310,062,739,344,112,157,
427,652,054,085,268,028,963,200,347,808,785,279,198,279,518,630,229,099,514,
826,624,936,137,466,541,197,222,080,995,963,092,792,647,202,888,119,991,823,
163,160,249,183,146,711,728,887,330,759,561,041,057,685,261,053,941,738,279,
073,574,980,588,463,596,280,568,072,467,830,400,494,001,986,442,276,533,774,
565,259,573,890,182,672,742,079,885,359,087,808,115,164,878,425,562,932,993,
890,017,408,224,796,152,068,681,367,503,958,381,682,858,289,140,446,204,112,
328,233,124,327,802,397,158,555,309,515,022,702,842,282,283,644,677,108,024,
633,335,282,336,272,580,256,473,070,684,833,080,737,455,320,942,923,415,790,
182,794,045,810,460,762,397,495,509,541,359,559,516,883,085,931,045,880,450,
612,375,401,108,477,346,448,530,854,018,310,250,405,028,703,812,291,109,177,
811,594,404,558,324,029,820,271,999,757,629,823,194,373,732,600,536,561,388,
727,494,113,157,787,762,832,988,809,689,118,706,880,544,016,984,253,301,180,
090,173,513,220,846,491,631,460,619,774,734,852,995,417,206,854,922,002,789,
115,440,208,193,386,498,384,605,692,289,739,694,148,298,990,363,525,016,354,
230,138,390,329,997,845,520,998,094,475,926,429,441,999,050,570,219,052,228,
312,778,759,442,832,360,676,819,344,007,414,551,016,795,460,505,618,639,091,
744,159,221,909,409,881,185,251,302,762,401,365,942,703,914,228,172,492,491,
829,540,211,980,387,762,760,175,177,172,784,848,253,785,710,861,636,009,906,
954,999,234,546,534,795,501,924,624,854,142,241,319,413,287,323,047,097,169,
358,384,541,793,958,848,041,588,089,974,568,287,162,356,595,093,200,278,442,
501,174,104,874,304,701,604,769,531,053,098,489,144,684,484,107,044,424,588,
065,334,598,630,225,051,385,427,721,629,336,624,661,932,323,678,141,630,048,
036,778,906,706,626,355,967,083,904,676,111,334,933,351,545,815,530,293,778,
924,763,733,453,827,816,340,904,126,817,982,812,443,655,615,463,280,008,189,
215,527,817,825,946,945,876,018,101,807,591,880,259,868,119,198,797,590,187,
703,711,594,938,988,151,954,156,635,549,351,619,006,472,036,186,990,135,248,
171,302,114,407,423,430,388,374,728,894,986,299,204,600,542,395,631,482,367,
760,577,502,120,961,552,251,513,492,348,644,921,948,317,287,339,611,465,759,
381,139,542,742,837,807,680,299,035,185,462,454,871,847,808,976,299,322,682,
980,049,441,800,198,451,833,097,904,615,479,049,372,448,435,869,843,642,593,
257,894,140,826,658,081,762,107,904,124,837,567,210,312,466,273,345,947,646,
915,757,533,257,131,804,981,894,692,697,421,398,137,387,415,408,916,679,020,
370,204,878,417,951,976,251,199,657,078,169,386,724,493,729,426,433,366,360,
572,848,348,686,361,887,916,462,027,490,640,465,403,196,965,846,805,995,781,
363,836,996,565,676,203,709,589,381,403,148,665,235,588,496,066,654,540,881,
758,232,635,866,059,578,247,816,900,466,831,808,370,243,353,740,783,075,745,
141,689,003,844,724,445,912,199,539,557,175,559,809,085,680,451,139,191,340,
809,220,875,518,144,803,147,931,711,471,548,982,068,617,375,231,662,375,718,
799,480,671,266,732,666,309,411,184,474,968,895,704,435,887,092,364,896,726,
815,634,827,147,208,003,077,189,320,192,779,667,577,906,511,782,029,063,373,
431,295,626,246,598,958,024,486,347,746,311,480,093,143,000,590,908,408,075,
360,745,080,367,495,574,758,243,562,993,324,104,686,860,756,723,359,369,816,
255,193,717,988,237,006,237,797,345,920,450,473,560,738,204,800,111,230,662,
195,525,845,564,897,675,505,301,433,298,865,549,680,915,931,324,329,425,248,
336,371,964,657,250,707,401,529,927,044,514,554,487,550,428,894,075,761,906,
610,437,374,845,627,882,091,598,008,778,945,406,618,498,476,338,135,050,993,
387,294,456,848,218,040,451,885,807,922,074,033,553,061,060,685,605,109,275,
269,637,832,333,229,595,800,090,832,041,701,349,850,339,331,685,898,607,220,
259,216,270,204,569,056,878,466,492,192,610,721,117,414,782,805,071,874,283,
568,855,965,949,631,224,703,699,119,710,926,021,828,785,033,398,290,352,987,
877,349,812,221,927,532,753,525,130,209,455,984,562,941,356,396,472,132,174,
260,623,609,192,025,775,391,896,967,413,923,932,547,346,580,981,812,918,670,
976,997,362,256,053,325,529,866,592,651,106,455,912,206,434,274,929,699,239,
831,110,110,249,605,458,659,801,475,380,013,750,541,899,595,879,412,410,810,
773,948,910,743,828,010,105,650,529,579,732,747,438,452,971,222,716,485,231,
393,476,642,252,880,889,310,084,954,268,634,029,136,552,823,115,639,190,820,
415,588,310,703,285,708,327,262,293,034,639,149,039,109,681,417,448,348,933,
799,183,232,371,769,725,649,516,166,849,594,032,955,176,902,467,038,664,259,
993,570,175,727,596,389,083,046,813,904,158,434,210,937,293,746,005,853,128,
276,238,180,756,904,480,669,394,193,944,867,575,015,023,177,415,654,215,960,
430,460,334,254,557,860,916,882,141,038,756,586,732,453,373,932,352,920,746,
013,577,612,628,382,679,960,810,710,827,026,754,295,572,095,533,323,230,237,
452,236,997,586,567,848,787,961,317,886,390,794,796,179,391,814,313,038,525,
443,482,178,757,018,395,961,505,512,843,388,588,162,198,705,407,167,784,519,
003,108,354,205,792,497,979,052,055,926,415,053,454,617,761,391,976,472,608,
204,700,730,175,477,196,940,433,589,120,407,880,192,882,818,010,233,516,775,
750,797,326,246,854,515,508,927,358,471,673,178,271,632,912,037,866,644,849,
988,566,963,699,379,770,306,260,337,892,326,282,041,000,596,829,438,763,223,
141,081,285,622,067,073,470,453,108,420,101,325,177,855,527,786,972,655,775,
864,939,168,450,527,034,778,879,802,736,545,813,392,272,840,705,978,880,062,
133,643,017,943,119,045,837,537,671,257,858,215,530,562,317,478,363,729,124,
992,162,958,225,322,125,749,191,365,886,672,535,973,346,499,128,888,744,115,
378,512,733,897,823,929,259,129,060,302,456,736,839,246,977,583,981,636,899,
256,599,158,017,210,821,129,836,782,837,379,586,155,846,658,697,718,216,957,
901,131,419,207,419,966,625,458,284,634,861,617,067,298,959,516,541,073,260,
947,106,187,799,324,194,155,094,125,492,694,040,225,315,591,231,514,592,779,
294,189,992,546,501,032,733,999,051,666,350,100,275,637,432,169,957,707,670,
837,233,875,320,728,907,708,233,397,635,927,201,141,410,823,428,896,701,913,
659,012,504,598,897,796,696,841,525,837,473,289,032,661,737,954,697,092,726,
140,804,869,963,165,005,926,251,885,409,164,034,880,843,830,951,376,746,596,
971,568,992,942,969,339,640,973,809,946,102,354,931,589,710,122,533,343,741,
961,385,061,939,784,150,921,918,233,544,526,995,367,047,723,463,892,317,336,
760,351,402,994,050,867,462,222,883,462,310,278,485,929,737,462,939,240,460,
736,932,554,687,495,425,907,292,761,383,461,023,447,421,990,691,411,753,350,
872,152,558,277,214,105,689,639,274,449,695,292,351,644,173,069,013,827,840,
347,504,739,209,312,132,502,436,827,439,315,303,904,566,508,555,834,766,341,
858,192,518,767,831,953,009,376,783,472,601,735,003,932,818,480,847,223,648,
282,851,378,912,874,084,956,969,296,985,418,205,559,939,090,883,356,289,724,
773,788,149,864,484,286,737,429,577,746,686,609,279,427,802,963,390,428,696,
711,410,035,097,186,750,315,262,268,734,270,552,976,895,761,020,430,149,344,
134,488,616,883,323,283,348,326,936,641,528,375,662,496,732,598,264,623,461,
789,604,165,783,465,928,266,428,055,581,068,456,088,758,510,974,622,428,679,
447,980,051,483,068,145,952,163,747,814,655,689,004,589,359,302,846,415,772,
203,730,274,526,249,593,429,563,490,471,618,330,641,268,179,357,818,694,214,
890,559,768,500,565,064,756,095,427,251,384,819,183,006,578,073,883,070,070,
510,766,646,543,498,407,388,432,613,545,675,116,611,491,840,653,283,181,713,
102,949,460,509,084,105,672,829,951,342,558,246,884,208,022,978,989,580,844,
725,195,504,456,921,175,713,827,726,578,211,922,069,452,907,612,332,709,024,
900,238,580,827,665,332,298,974,442,640,409,501,894,799,434,130,754,769,019,
622,716,580,892,905,538,653,984,949,314,002,015,168,227,926,312,812,546,018,
194,491,642,821,481,726,853,323,118,528,201,747,624,441,926,861,113,822,744,
006,546,210,689,000,703,883,371,612,261,004,341,202,111,740,557,285,077,078,
285,088,939,971,758,493,600,168,363,112,713,726,145,761,189,405,641,141,598,
779,031,825,050,157,348,165,390,484,541,351,810,720,585,975,653,420,171,669,
343,425,851,626,247,444,877,886,450,681,097,703,270,316,214,785,326,487,389,
171,293,056,026,419,365,296,898,898,844,404,539,283,293,459,174,568,058,818,
467,579,548,871,111,776,528,309,090,896,092,676,301,889,321,595,347,406,318,
408,123,653,793,331,720,472,362,578,459,407,405,049,185,637,875,544,109,475,
192,922,551,833,952,676,049,133,612,743,049,124,838,333,408,039,000,195,408,
953,164,482,480,275,900,424,539,403,604,317,085,243,845,171,289,854,282,860,
953,866,967,501,765,306,053,195,479,924,805,703,129,512,521,443,366,162,299,
744,021,985,412,052,161,928,036,550,969,541,314,845,984,309,913,371,186,977,
226,709,284,399,946,021,380,717,838,725,849,932,449,293,154,062,754,583,220,
231,151,796,659,220,117,366,194,564,657,927,634,657,685,214,625,371,609,121,
803,087,810,291,912,940,452,713,309,253,221,153,067,257,664,079,495,585,845,
805,153,545,685,060,681,850,728,677,680,509,472,113,645,234,708,096,809,865,
123,734,844,607,143,517,874,267,820,153,134,376,556,548,725,944,888,961,129,
834,002,598,116,601,648,550,000,538,334,904,630,541,266,852,661,072,955,890,
762,277,841,099,561,811,818,206,038,146,276,497,720,545,405,296,431,036,853,
622,789,870,548,443,547,372,132,272,923,826,214,382,642,790,875,526,685,804,
003,178,463,012,555,752,603,146,469,770,481,796,154,511,147,994,725,886,854,
029,289,477,388,796,250,884,111,029,048,468,891,399,347,444,331,656,618,666,
592,935,742,054,610,102,265,023,643,198,106,082,531,708,159,471,475,633,974,
857,860,827,610,603,182,581,552,332,998,066,809,513,329,501,725,281,463,353,
264,420,325,882,718,121,249,738,004,324,708,523,579,371,905,788,054,831,433,
084,960,917,587,055,851,297,901,666,723,333,124,464,451,391,950,843,486,475,
513,793,531,530,356,491,341,310,114,161,322,055,947,907,244,790,182,311,723,
902,812,963,574,979,677,185,202,625,505,964,705,354,887,061,803,957,160,988,
869,575,087,717,406,261,960,487,855,253,919,917,858,106,002,617,412,866,693,
631,716,754,481,349,579,410,032,375,015,181,993,711,488,226,458,318,977,649,
088,573,237,819,484,540,519,829,522,605,041,614,402,331,513,160,142,122,328,
519,576,341,948,431,515,023,161,009,045,993,820,240,151,175,274,639,923,009,
605,776,110,943,539,911,083,919,843,017,322,240,704,018,308,548,763,495,903,
611,582,769,042,996,500,711,673,405,101,042,773,518,186,936,465,860,476,185,
968,213,179,331,572,672,980,836,397,086,429,894,465,099,436,173,067,745,280,
925,192,970,708,551,272,635,836,721,441,176,033,135,748,768,072,386,527,047,
486,370,552,330,713,597,846,825,523,274,171,383,655,834,633,886,119,418,841,
835,133,046,312,030,084,142,000,217,332,656,839,794,905,697,195,833,587,220,
423,428,621,364,714,765,393,813,440,932,519,881,330,186,820,427,924,362,559,
588,666,748,390,846,315,925,701,165,276,346,515,644,564,646,935,242,959,493,
222,484,180,220,438,252,942,265,366,028,668,645,391,908,897,542,351,107,803,
812,880,533,495,364,569,302,108,662,150,986,602,019,781,020,050,795,829,619,
829,780,571,135,685,930,074,057,126,064,904,351,372,600,394,234,447,534,160,
706,271,568,096,767,323,066,272,420,848,705,602,799,115,781,950,770,169,041,
671,278,757,700,717,340,082,109,014,793,046,038,088,177,934,493,750,827,394,
115,243,815,916,226,167,854,878,084,436,423,188,629,712,653,027,506,943,498,
022,512,281,334,124,039,491,491,915,399,159,560,930,845,148,992,217,915,400,
157,024,406,359,258,010,330,229,306,283,893,611,714,373,756,661,379,535,691,
527,378,758,919,495,448,898,004,145,352,281,828,255,583,627,524,913,681,717,
514,554,792,207,904,627,202,891,588,387,287,011,625,595,251,633,592,043,732,
944,796,315,767,229,514,700,393,679,367,937,971,532,422,201,374,867,115,711,
828,293,672,520,103,093,792,404,531,713,012,364,858,214,819,186,148,660,387,
997,381,159,208,696,517,153,253,711,263,542,496,527,799,262,505,935,710,051,
795,063,455,107,039,656,272,873,166,348,243,372,111,711,620,045,247,898,313,
024,607,902,847,698,918,278,951,325,500,851,419,666,330,148,320,964,356,122,
205,574,804,968,615,654,827,046,978,320,722,001,880,805,926,285,684,448,488,
594,840,282,834,577,170,059,768,802,096,805,961,054,318,107,137,156,199,006,
892,869,637,398,356,118,924,165,675,869,413,566,199,455,946,646,754,916,450,
344,028,687,953,550,676,876,805,194,408,749,473,955,105,777,088,596,851,136,
523,775,108,214,364,626,469,645,101,436,530,297,205,530,502,543,298,564,604,
908,650,848,646,600,238,076,567,440,462,377,236,758,744,058,046,122,485,131,
042,238,780,072,312,239,413,984,114,730,213,371,088,492,726,630,107,922,215,
197,291,988,768,923,209,693,896,720,732,010,970,549,394,992,822,489,623,583,
296,494,679,564,921,582,734,060,663,100,115,342,759,600,340,206,317,193,756,
594,130,625,146,000,306,480,866,494,677,987,800,697,670,944,900,661,560,188,
696,138,409,141,248,315,678,433,488,928,363,239,905,048,670,753,966,449,765,
430,128,822,808,591,639,205,616,182,997,000,574,851,698,480,676,121,992,760,
568,551,406,064,101,412,434,257,290,696,264,978,083,200,771,533,791,567,978,
256,005,385,522,007,988,350,578,072,964,628,062,241,151,803,853,232,540,252,
071,715,987,428,621,592,623,357,833,244,385,436,974,493,310,198,700,837,753,
414,178,944,443,074,633,282,578,844,252,210,053,550,761,323,777,706,766,974,
917,918,059,803,100,758,004,259,345,515,761,059,146,392,774,448,272,581,392,
346,150,332,029,480,882,634,075,743,249,485,050,405,541,741,803,812,873,911,
701,765,891,181,323,612,012,737,581,927,349,864,224,808,440,867,922,296,535,
985,911,007,221,401,016,299,728,884,830,723,503,136,471,197,035,261,595,526,
586,340,583,604,755,714,244,786,580,005,781,297,217,152,896,036,211,624,918,
773,678,475,570,344,453,671,193,129,740,194,753,938,477,503,549,092,362,409,
250,116,572,201,672,880,751,451,494,248,728,661,934,479,957,220,402,078,056,
252,929,581,296,754,632,325,699,794,609,870,531,664,821,533,605,726,807,584,
630,051,185,872,548,515,772,111,620,761,792,544,272,763,619,070,382,940,554,
917,945,018,648,100,064,189,173,356,569,706,835,510,667,738,650,146,274,461,
621,620,240,176,220,470,125,158,351,456,873,238,576,866,905,318,356,638,482,
029,107,451,322,894,490,615,457,360,396,694,160,616,508,660,502,437,608,202,
208,300,338,805,744,458,211,750,694,232,441,079,568,082,732,452,625,357,055,
987,170,012,853,226,537,961,518,984,708,868,350,925,106,832,318,278,181,125,
229,010,981,972,464,921,914,852,498,902,796,111,178,437,878,008,914,101,151,
798,477,296,126,508,650,713,164,930,778,552,992,014,173,601,163,804,871,223,
102,941,193,145,575,206,860,700,054,406,430,085,925,857,489,257,412,304,461,
190,645,869,493,387,274,037,293,775,616,894,092,968,980,382,489,146,277,425,
987,597,426,996,784,909,280,779,050,565,438,484,358,655,547,185,727,306,437,
166,396,764,383,003,192,086,383,702,073,008,499,806,960,090,380,557,511,087,
983,807,129,623,307,645,484,322,229,924,852,435,921,309,710,686,416,067,300,
070,557,656,700,450,377,212,457,365,443,506,704,215,840,931,844,869,622,907,
926,890,633,318,206,426,938,042,364,887,966,124,766,375,228,239,523,417,177,
710,849,667,708,590,505,239,864,560,265,909,377,519,347,716,019,411,018,391,
352,085,300,983,494,288,216,648,927,086,027,472,430,535,472,854,321,751,625,
571,755,775,410,643,882,146,911,073,412,382,794,718,372,098,085,882,457,249,
943,993,516,392,749,061,340,686,794,054,014,438,673,283,556,411,458,221,432,
966,835,854,925,563,431,568,761,996,282,885,363,413,600,352,721,013,889,864,
981,129,259,246,588,156,687,759,736,869,190,997,455,377,808,264,847,241,685,
194,566,396,524,753,151,925,147,483,577,244,347,417,028,429,485,384,921,559,
145,564,310,507,625,448,749,322,967,337,315,015,432,948,256,813,305,943,879,
328,413,937,205,768,998,766,268,169,762,998,253,546,667,098,311,721,870,632,
796,118,037,913,843,910,922,660,959,175,941,181,877,050,090,812,459,546,295,
133,445,154,533,561,532,656,699,730,731,736,231,594,027,787,089,227,322,948,
086,617,296,711,848,393,123,578,835,373,506,771,894,212,191,026,149,685,955,
525,098,246,212,836,000,214,372,441,119,171,129,946,263,615,674,732,799,990,
266,173,966,187,764,751,535,783,466,496,968,089,860,211,837,632,361,205,357,
741,581,125,774,470,345,117,523,137,052,575,810,131,677,795,112,528,087,265,
280,284,654,709,033,709,367,539,788,495,113,151,940,007,767,236,811,545,043,
884,016,910,583,646,427,705,978,979,254,603,716,059,961,844,938,200,626,933,
212,740,376,723,122,422,846,025,150,077,024,186,672,488,957,670,371,412,201,
732,167,702,957,117,005,869,234,165,010,109,586,338,179,191,818,324,176,869,
119,705,066,329,383,075,299,842,741,605,270,857,258,871,889,566,261,820,739,
054,482,905,647,824,582,854,246,906,506,524,618,882,782,402,056,442,525,558,
467,946,480,878,847,566,750,823,804,671,601,854,021,864,796,460,978,382,876,
893,803,247,216,629,813,347,502,853,299,108,934,975,884,709,066,622,990,037,
342,190,301,489,340,079,405,150,749,759,119,461,301,851,901,138,204,433,985,
129,624,269,324,972,185,315,680,081,762,621,758,083,821,757,208,617,857,409,
038,833,669,439,902,500,056,814,636,152,652,676,113,507,685,352,674,676,826,
894,855,215,825,927,166,558,727,084,251,220,568,204,518,629,652,630,970,700,
920,156,592,125,022,963,847,939,760,483,915,930,549,657,809,115,710,613,918,
824,425,887,845,328,803,134,854,637,060,629,192,424,987,288,606,180,571,918,
522,326,211,147,702,328,953,988,756,784,383,304,801,234,861,224,937,294,839,
003,066,734,170,310,096,494,903,371,267,380,352,633,724,341,298,061,587,629,
330,398,648,124,828,596,091,742,871,657,643,947,647,448,969,775,357,617,730,
956,102,031,065,496,792,740,177,262,059,580,747,545,786,629,208,242,639,271,
615,750,745,426,031,380,159,213,191,687,286,678,272,512,084,699,720,267,139,
334,763,358,253,267,275,376,650,679,874,053,769,941,707,845,932,410,909,792,
973,665,703,068,345,155,882,949,620,546,093,253,635,851,160,103,812,175,194,
422,520,050,511,569,635,924,095,427,118,102,280,631,926,212,991,157,713,653,
988,670,048,139,500,223,935,471,519,609,913,926,064,272,306,624,987,231,703,
981,223,849,791,577,174,308,422,117,295,797,486,152,909,535,704,922,675,251,
023,429,650,775,209,727,152,893,835,196,475,632,847,440,644,199,757,160,466,
649,086,955,766,018,598,075,528,307,011,348,346,231,444,012,948,678,789,298,
286,380,853,094,594,893,130,260,446,436,070,157,020,704,142,142,624,423,595,
838,104,012,243,008,307,460,774,678,274,716,144,084,305,961,629,722,531,525,
510,241,209,970,978,213,639,802,979,231,397,177,178,078,899,929,588,483,237,
605,463,736,839,008,362,519,816,693,951,605,576,318,559,646,061,451,436,945,
692,271,232,360,161,241,371,885,692,722,955,768,826,034,709,904,371,669,511,
921,491,368,086,921,683,483,832,481,237,907,685,246,789,421,832,288,018,154,
135,578,989,290,841,049,955,970,727,250,119,980,996,987,949,281,302,821,810,
988,629,458,600,623,785,447,888,691,555,610,240,708,839,685,140,141,033,079,
269,982,029,160,844,276,259,088,341,372,759,242,802,671,620,934,666,637,490,
879,426,864,712,039,961,824,905,464,742,961,094,321,670,057,246,593,730,961,
869,231,870,137,705,420,258,605,336,035,373,472,300,592,880,643,437,895,684,
697,643,107,923,944,955,824,035,505,738,642,604,691,519,011,240,901,828,787,
099,892,470,539,062,268,650,578,413,130,601,338,686,667,349,506,262,197,069,
843,850,214,850,250,855,575,720,576,178,925,332,274,782,326,743,568,900,968,
147,030,249,538,058,750,782,639,097,189,678,239,354,504,545,345,882,825,179,
270,188,302,486,716,873,839,337,023,893,339,210,347,061,396,579,774,945,874,
790,909,755,562,926,858,460,704,538,549,939,280,369,614,886,997,944,665,097,
590,382,535,250,552,812,222,393,159,954,484,853,266,752,044,349,338,690,579,
382,061,532,530,861,459,304,386,281,404,126,990,434,403,129,352,102,307,981,
664,420,819,797,938,124,556,531,416,474,850,674,036,422,655,568,863,151,444,
851,875,314,502,229,413,447,732,326,447,723,611,400,706,224,193,901,826,328,
906,457,021,824,697,990,042,080,921,235,654,929,921,959,824,207,206,500,899,
587,094,959,458,053,060,724,351,021,260,268,480,563,787,688,578,165,508,479,
843,310,392,354,556,340,221,754,406,053,551,847,308,374,562,230,722,020,939,
127,985,589,032,203,966,861,149,309,802,841,362,584,684,959,951,748,988,877,
220,141,883,428,750,090,715,236,193,285,900,471,480,550,362,236,717,788,275,
656,521,598,557,501,032,589,398,883,689,566,019,987,545,529,191,049,715,147,
732,495,489,588,787,300,757,988,151,060,637,155,067,829,378,794,502,537,537,
980,207,467,988,825,840,233,105,044,577,323,474,822,870,488,996,068,594,627,
440,054,189,697,409,378,117,065,096,419,609,013,650,399,511,633,840,441,071,
314,688,068,614,776,335,826,088,138,701,990,763,402,050,014,306,710,724,992,
508,695,857,009,891,308,749,160,482,044,071,391,626,914,657,898,202,979,433,
583,474,285,827,392,762,461,141,452,008,407,348,861,245,202,241,176,610,296,
874,427,416,368,831,138,687,400,160,265,804,944,618,843,819,914,927,411,734,
997,029,714,250,409,526,624,326,155,385,716,154,697,873,666,463,966,022,880,
080,741,939,205,257,631,369,865,839,788,257,296,202,130,759,901,627,397,829,
243,038,684,500,897,396,626,112,860,917,777,516,102,741,594,579,814,741,564,
535,353,922,446,843,791,620,862,472,675,036,646,941,155,569,562,517,922,131,
606,224,745,152,900,039,683,103,863,515,981,811,669,634,957,734,237,570,685,
153,803,154,776,503,329,473,752,093,788,426,170,569,487,118,167,746,111,205,
770,865,643,128,815,197,560,742,920,557,838,924,185,119,824,972,854,123,864,
163,413,231,249,557,996,125,993,216,600,914,257,258,337,821,801,788,611,518,
675,941,123,562,347,905,067,161,444,106,969,949,173,267,041,533,003,014,808,
917,594,963,551,597,622,651,105,010,985,638,583,194,882,187,194,534,670,778,
649,603,342,070,518,414,131,293,507,443,360,291,546,224,146,871,060,270,549,
457,700,461,295,181,213,596,159,666,337,953,316,149,995,060,366,598,399,292,
788,562,575,849,581,199,202,644,123,357,019,650,464,067,964,892,459,869,887,
628,330,792,125,375,976,576,922,786,625,251,745,924,016,277,250,121,490,921,
961,057,287,921,515,737,239,502,644,342,219,746,295,793,229,385,129,256,866,
061,372,835,719,922,608,267,096,975,862,917,487,236,987,012,403,993,123,998,
412,441,423,474,306,318,447,016,234,442,268,267,251,181,709,425,800,998,773,
005,537,329,892,602,573,863,515,064,673,615,841,392,933,178,394,167,374,636,
720,352,085,573,570,429,643,008,155,439,470,284,284,378,407,432,116,129,000,
233,848,295,616,944,903,039,870,554,151,310,967,629,528,805,525,727,348,123,
525,113,658,524,193,794,538,762,798,311,921,838,700,893,629,332,995,782,025,
240,959,276,003,336,522,510,691,375,447,887,721,573,628,190,203,534,127,025,
459,652,246,264,316,275,027,433,622,755,484,322,484,662,878,694,555,789,297,
083,876,085,113,956,945,642,057,142,500,063,469,897,367,888,455,751,776,100,
039,348,353,218,181,629,123,540,576,932,022,660,820,451,212,464,359,336,280,
280,460,420,180,438,848,650,968,159,487,757,949,059,450,564,791,445,379,419,
823,207,465,879,370,430,553,853,775,135,050,872,002,354,773,783,735,037,544,
853,026,086,344,617,303,567,649,824,240,593,604,696,446,478,889,707,332,258,
465,562,773,164,850,625,204,677,134,253,489,158,915,058,527,924,082,555,993,
416,747,542,102,271,791,803,401,783,297,309,497,566,854,125,144,145,530,206,
924,693,278,239,050,046,614,472,892,509,392,396,908,055,091,943,099,179,126,
281,121,907,843,957,527,923,950,963,683,838,576,363,866,668,152,940,150,674,
398,042,441,172,077,981,257,318,013,690,393,579,924,336,663,863,401,089,316,
082,668,024,699,343,723,797,883,026,349,412,582,220,970,519,693,745,941,380,
984,921,390,451,753,615,683,364,349,869,734,609,842,396,999,081,054,284,462,
463,916,875,385,307,968,991,365,008,385,143,062,861,933,762,553,285,990,366,
919,646,316,855,715,063,782,147,158,966,997,967,431,518,220,442,399,378,284,
387,877,278,688,966,323,581,244,408,076,242,002,430,831,243,093,725,764,790,
234,685,871,633,253,464,116,325,619,352,404,568,428,456,947,882,426,754,630,
029,010,902,732,363,256,737,697,515,654,659,371,595,978,177,608,903,496,869,
220,221,584,846,959,531,527,928,107,839,058,632,532,920,462,821,180,468,419,
506,198,757,752,541,347,384,685,689,598,173,458,124,207,486,832,015,125,764,
798,417,304,236,070,833,226,997,569,989,682,683,293,940,404,340,424,754,133,
083,306,606,048,804,835,967,143,961,934,900,683,141,403,607,847,361,840,750,
612,271,675,710,238,817,202,832,250,758,372,778,296,013,422,984,693,714,221,
639,218,616,673,487,223,672,014,018,615,280,477,190,453,951,995,544,160,586,
861,960,679,542,796,660,491,751,162,879,556,164,382,930,722,009,306,816,102,
859,284,303,393,152,400,486,774,902,108,443,056,211,026,974,447,990,861,913,
657,072,464,802,462,762,721,690,597,643,185,224,380,064,189,960,849,504,509,
463,237,855,260,150,154,591,682,288,021,973,884,222,912,858,490,017,731,487,
831,247,913,228,039,706,120,202,571,507,113,072,744,058,430,395,902,452,421,
260,942,457,323,868,665,840,610,995,716,294,125,264,773,948,308,001,923,845,
685,864,586,214,670,859,464,965,442,639,647,781,006,921,271,863,218,941,818,
184,870,461,445,258,130,015,272,720,908,102,487,663,536,389,203,360,388,352,
242,451,446,939,422,176,256,181,801,249,887,502,801,415,178,192,298,300,957,
416,737,355,278,342,382,705,275,151,598,564,990,568,526,838,758,518,808,596,
244,597,434,363,000,347,534,007,874,716,580,465,476,310,876,310,962,046,328,
710,594,137,920,201,775,468,641,151,695,600,252,552,845,730,101,244,975,811,
155,627,074,989,116,058,838,340,847,628,871,823,611,113,474,720,273,588,480,
450,046,804,522,607,720,386,902,728,043,780,606,451,010,724,057,850,643,978,
103,032,478,196,307,704,148,075,900,769,946,851,148,791,914,437,800,632,153,
844,348,527,078,197,494,205,809,935,460,349,451,575,142,367,613,133,921,654,
363,508,125,253,176,176,805,996,305,103,827,654,159,554,404,407,473,742,847,
283,053,092,618,104,220,322,477,461,540,656,375,249,414,628,666,683,765,789,
853,402,570,622,447,352,070,985,867,707,954,806,848,082,880,200,891,027,907,
455,838,452,742,876,445,441,610,987,888,544,515,877,645,141,702,845,395,073,
745,509,059,859,666,867,955,874,063,619,200,522,019,963,254,225,430,920,813,
671,277,080,313,734,006,132,644,471,811,386,101,524,810,283,596,449,896,516,
291,980,417,966,270,370,211,765,565,461,465,205,916,448,873,501,620,578,552,
380,940,527,608,540,186,332,035,793,570,189,171,892,112,730,416,318,922,097,
890,075,362,296,580,441,690,267,544,475,803,873,523,762,181,662,425,486,147,
107,732,393,107,842,559,822,324,937,600,023,889,897,514,596,571,696,478,025,
748,525,084,031,238,995,386,860,257,530,467,359,705,017,040,751,907,244,633,
809,297,460,964,675,245,938,025,376,076,660,800,558,914,622,080,474,486,824,
931,936,402,199,460,659,840,600,107,098,701,205,902,726,630,106,547,281,242,
671,384,752,210,826,752,135,367,401,512,619,051,112,726,166,768,470,256,840,
655,705,332,640,474,785,907,249,602,543,550,652,124,767,076,996,559,608,191,
773,602,259,830,701,084,979,813,966,109,069,891,215,500,025,546,302,155,058,
492,516,128,383,352,132,419,381,986,100,304,160,930,475,774,818,912,688,972,
501,614,579,641,130,052,948,079,944,011,973,396,600,430,020,723,292,327,047,
883,101,333,561,322,981,981,381,120,902,994,414,108,678,516,685,399,049,143,
355,221,239,381,085,756,007,657,889,992,099,796,395,958,412,710,201,526,244,
390,808,666,230,379,598,514,431,890,711,647,320,217,986,132,874,855,425,562,
404,066,033,524,590,215,700,360,409,693,732,735,140,463,659,730,766,631,477,
666,472,842,565,306,246,626,614,248,026,749,727,351,009,519,167,274,084,522,
053,044,334,076,732,027,901,548,647,641,184,077,103,165,781,244,449,317,501,
407,436,555,747,681,012,872,736,256,485,424,331,963,922,513,272,181,975,417,
893,921,347,629,438,402,660,308,894,339,500,327,436,639,991,218,104,542,999,
115,897,625,298,935,226,534,788,598,201,793,172,313,327,902,106,795,097,800,
359,205,429,689,287,249,182,973,145,372,994,477,016,899,791,123,211,687,817,
874,566,849,591,701,423,501,460,152,541,090,379,767,847,399,255,582,493,740,
714,686,280,097,916,146,736,412,268,400,862,720,899,983,525,508,727,310,389,
448,424,116,540,046,816,164,395,463,528,319,795,337,430,032,348,839,959,848,
319,407,147,404,923,109,246,385,230,329,675,320,429,105,439,439,175,182,433,
513,550,734,924,328,559,202,125,734,375,028,511,578,928,609,601,049,621,001,
985,628,649,356,363,417,348,261,806,712,159,854,278,554,846,670,079,134,209,
071,714,790,228,457,005,603,764,960,705,825,931,661,363,665,433,622,895,130,
371,940,236,110,674,681,408,857,999,932,139,719,456,482,130,968,375,447,762,
227,611,198,992,205,673,730,099,997,579,401,914,915,710,293,537,406,719,011,
147,405,554,435,147,449,319,157,990,799,428,298,932,125,711,172,510,159,051,
978,541,834,667,109,374,138,448,496,825,137,268,029,095,070,428,708,178,869,
546,018,827,793,823,980,979,794,230,821,618,826,359,478,918,032,811,196,598,
866,558,939,474,392,415,311,965,549,352,072,908,435,474,441,081,519,610,682,
722,327,621,114,104,429,138,836,544,861,215,215,663,839,152,550,076,505,694,
754,966,508,120,118,614,808,115,378,014,875,903,697,484,420,583,461,243,072,
557,238,001,911,433,291,501,592,139,526,185,316,592,979,280,016,766,145,676,
345,385,980,278,507,770,390,958,448,040,641,854,425,310,881,798,697,995,278,
896,400,873,187,588,289,104,810,135,655,999,137,409,047,265,436,328,409,250,
250,885,907,752,238,337,177,552,140,327,136,747,747,848,992,361,163,019,769,
027,455,925,823,917,617,501,303,311,432,085,158,042,609,346,801,563,902,242,
244,334,100,129,259,499,131,991,235,708,392,600,594,533,228,384,046,891,275,
687,020,508,792,438,076,879,094,950,448,811,714,878,307,120,792,383,489,187,
452,077,392,339,038,263,627,161,860,152,731,277,410,948,422,060,263,411,619,
763,731,611,517,893,961,602,400,001,560,887,514,512,432,785,627,934,639,529,
461,816,619,298,707,311,368,437,000,416,670,460,073,090,374,975,124,048,868,
368,198,963,454,259,978,833,734,909,203,364,762,040,432,591,708,115,301,619,
668,221,961,283,100,012,871,431,574,620,576,499,084,893,486,001,291,244,369,
872,882,768,890,120,774,407,955,203,596,930,570,666,813,324,649,161,735,769,
509,188,402,045,494,983,193,347,228,245,820,114,097,052,804,121,638,440,024,
642,916,531,798,711,045,605,701,776,860,375,221,391,262,499,932,192,016,996,
966,746,968,593,547,344,647,459,543,895,982,587,494,194,716,607,927,632,725,
738,699,341,033,657,543,201,801,671,126,309,753,195,769,744,422,485,075,583,
197,096,719,030,220,935,632,947,170,954,554,350,087,579,666,756,856,439,807,
219,785,811,352,558,992,283,249,791,400,401,239,595,808,095,749,752,374,836,
693,337,958,684,365,288,039,415,237,666,057,721,382,869,172,117,395,212,344,
034,270,955,439,291,548,160,770,150,817,102,165,391,190,965,812,740,701,750,
931,291,171,122,372,531,631,641,019,191,844,224,899,046,946,582,398,575,285,
124,361,361,551,928,724,541,358,814,158,062,390,619,050,157,406,753,943,563,
661,037,805,590,318,335,409,623,726,994,284,879,221,240,166,763,205,053,970,
547,123,415,031,926,327,748,899,805,673,246,335,412,766,961,201,405,522,935,
080,123,521,852,418,243,444,905,909,577,306,456,542,602,263,293,759,767,952,
687,469,728,813,274,279,941,770,193,869,875,658,921,321,319,565,699,064,595,
249,302,864,053,265,026,296,290,605,137,713,566,521,920,943,209,647,152,804,
129,688,548,699,714,419,931,190,222,300,758,542,388,958,840,161,921,567,385,
494,361,502,974,360,303,808,468,511,597,739,051,774,846,480,991,172,676,451,
752,953,797,934,180,114,578,530,680,402,698,954,331,135,792,481,812,000,298,
869,568,582,750,619,847,098,279,352,580,865,700,711,995,691,512,824,412,886,
313,978,920,279,622,837,426,387,812,422,973,387,961,718,654,854,527,543,299,
647,008,153,410,849,386,065,022,290,302,500,789,957,109,431,921,168,696,057,
750,996,635,590,975,369,763,265,405,238,921,341,330,262,401,277,474,186,426,
513,997,460,768,703,315,554,086,255,168,403,511,837,247,271,004,478,806,744,
477,286,630,391,995,364,859,490,266,278,879,891,818,777,361,783,955,331,164,
703,509,412,487,276,606,759,426,814,410,534,869,912,255,251,908,247,416,249,
323,688,340,420,571,826,793,051,612,204,087,426,318,049,390,679,327,637,143,
895,346,922,744,719,506,340,207,387,485,459,513,999,301,402,428,037,269,789,
229,500,902,675,648,210,214,888,703,951,784,362,672,545,211,402,577,728,850,
488,079,707,328,637,137,880,996,933,669,732,747,412,135,470,758,101,999,902,
887,600,809,573,738,540,699,628,646,742,473,168,874,878,722,521,558,649,167,
190,952,600,719,603,917,061,288,889,681,974,796,111,718,764,038,103,770,353,
085,454,680,919,338,056,881,439,122,599,490,331,121,058,317,276,238,363,939,
063,708,618,552,677,645,123,097,522,478,205,119,196,359,546,086,688,371,257,
207,826,815,487,254,301,654,345,154,870,723,277,674,435,968,729,089,535,382,
941,752,263,473,839,811,527,297,475,879,641,281,650,715,226,788,981,083,967,
166,495,172,608,245,119,336,224,385,212,569,649,414,551,164,553,496,576,441,
183,843,568,833,816,710,222,492,947,169,791,110,642,653,775,937,871,826,651,
883,323,233,446,194,907,043,430,241,207,861,638,577,747,503,497,184,658,129,
784,518,444,921,035,172,884,042,784,270,986,122,223,830,892,439,865,176,179,
117,673,790,306,547,857,372,273,106,248,024,613,376,064,008,551,081,408,722,
033,853,357,342,336,933,528,387,734,563,280,323,238,076,175,339,712,092,286,
540,959,863,528,325,364,454,099,515,454,183,154,580,855,636,133,117,846,851,
607,906,120,811,797,974,781,497,778,400,898,873,272,495,757,059,016,164,755,
846,687,728,044,024,845,149,977,897,746,303,768,186,773,642,030,999,830,382,
347,116,798,415,017,059,662,908,849,199,487,095,862,074,833,663,182,675,793,
341,698,091,352,408,796,481,807,051,640,336,490,580,644,884,144,967,068,456,
278,570,899,727,006,161,299,067,744,780,832,430,329,233,274,027,131,475,918,
541,803,867,768,102,948,662,664,379,537,429,640,512,346,277,432,305,906,011,
147,194,561,289,418,665,020,520,161,244,537,542,255,966,131,951,305,811,097,
770,668,468,170,537,652,216,860,751,551,131,033,530,112,417,188,824,053,586,
335,054,661,324,545,943,917,349,083,494,715,963,318,937,100,685,308,729,585,
809,564,495,754,892,855,310,159,417,637,201,257,416,094,215,173,421,058,684,
392,574,752,945,887,363,177,881,752,950,273,290,012,460,852,494,287,631,547,
036,811,564,356,506,090,839,295,934,478,311,090,991,110,384,410,522,866,493,
657,118,099,037,004,155,133,183,071,583,958,785,573,518,469,827,549,163,622,
327,103,846,041,227,816,747,055,895,559,574,977,109,842,757,349,415,717,899,
366,046,304,634,734,233,650,192,869,928,104,381,957,656,068,569,545,020,996,
980,252,984,852,184,313,174,364,638,135,777,222,598,839,842,587,228,498,562,
056,357,038,578,293,128,970,125,903,454,797,760,401,563,042,824,103,631,734,
799,964,459,173,740,641,795,477,345,149,775,270,694,217,716,597,033,773,891,
816,056,406,275,306,171,607,432,624,829,034,710,669,064,357,622,530,462,191,
728,768,755,170,496,852,709,583,369,157,614,564,442,871,952,920,030,420,749,
022,988,257,313,387,910,387,989,149,990,327,432,655,901,022,291,881,586,935,
540,063,047,725,712,460,904,475,573,815,272,760,296,912,925,723,259,525,972,
626,053,800,515,429,729,715,735,840,806,058,654,425,174,836,451,148,340,842,
592,575,168,057,603,290,105,644,823,956,542,286,927,497,198,938,938,407,468,
844,927,918,920,136,055,204,480,148,071,076,632,938,737,722,263,037,697,282,
844,866,256,411,482,873,292,333,728,831,723,677,031,273,226,259,695,909,283,
864,616,630,090,019,428,045,323,139,076,014,647,164,356,626,243,496,822,510,
458,453,247,186,196,098,891,322,954,240,184,391,089,292,242,947,910,397,963,
806,587,281,371,878,197,306,292,079,370,334,337,698,924,630,203,326,152,341,
716,157,244,409,207,699,225,455,749,165,857,043,772,358,312,824,225,673,561,
397,830,563,034,877,370,371,485,122,693,308,183,255,809,951,705,290,177,091,
353,203,705,317,350,706,053,750,849,457,777,786,972,830,676,172,353,507,445,
023,914,563,388,074,356,905,497,983,235,793,211,003,103,040,873,349,650,343,
249,330,859,636,536,184,770,007,706,210,853,242,730,442,350,716,928,958,933,
358,772,263,496,375,200,710,992,277,284,122,271,324,722,100,751,568,529,406,
475,824,186,418,275,602,236,821,413,541,877,323,281,459,484,073,906,072,478,
095,060,341,543,071,977,345,884,396,507,341,552,488,247,744,489,006,608,803,
651,625,431,330,877,588,619,474,169,586,770,562,082,287,119,787,772,064,854,
460,210,841,756,849,300,041,698,187,356,433,971,265,243,900,005,370,695,904,
553,418,625,633,471,686,993,374,401,669,845,240,060,843,437,153,048,233,339,
956,550,015,715,615,781,242,145,595,002,908,759,887,047,389,353,009,487,402,
401,931,280,200,285,318,460,446,813,106,053,274,297,715,358,223,781,379,801,
499,189,779,237,384,341,045,001,749,045,651,981,258,122,473,097,271,692,069,
602,119,211,683,752,642,597,216,070,697,341,615,924,446,367,465,502,132,265,
570,377,515,058,603,164,074,406,796,000,269,567,218,153,385,090,183,594,154,
931,674,818,001,573,885,224,146,391,574,593,328,393,879,535,999,743,127,127,
562,771,298,713,964,235,054,686,443,049,678,062,608,565,069,702,418,134,846,
566,686,532,177,136,011,051,683,765,897,674,232,023,628,855,825,948,359,770,
812,802,725,250,032,376,699,896,273,352,587,222,690,730,681,732,399,910,953,
154,407,688,866,433,469,989,430,846,662,688,350,120,526,085,571,942,643,514,
607,512,715,253,181,084,300,629,346,178,104,456,466,400,998,216,632,353,091,
203,504,653,089,167,146,025,502,311,094,384,968,719,990,723,177,565,949,617,
345,416,970,472,248,774,791,712,476,635,930,487,994,464,139,037,350,454,144,
104,102,222,844,067,956,943,823,403,410,720,623,709,416,846,353,974,141,384,
737,914,908,990,060,326,076,060,193,173,646,558,487,162,089,169,462,139,500,
447,653,794,312,858,427,789,075,629,221,217,092,248,924,450,863,714,265,721,
953,649,222,738,414,904,796,715,219,384,337,034,526,796,529,779,476,864,003,
993,930,996,427,929,584,668,988,311,826,669,933,135,254,785,905,329,683,821,
376,896,091,667,153,428,380,597,118,915,763,517,850,045,575,904,599,796,191,
538,027,888,486,069,554,584,704,599,955,840,153,781,209,167,625,807,598,531,
065,788,666,407,454,403,142,396,823,433,862,311,755,980,428,418,906,471,040,
638,894,752,279,821,892,314,548,633,706,476,374,669,412,662,379,962,515,223,
952,554,417,466,310,578,502,313,544,151,940,585,797,691,365,952,348,093,477,
695,931,457,283,774,521,332,063,389,871,080,430,237,587,799,716,835,327,767,
170,352,572,116,695,407,371,026,283,879,409,105,933,533,609,726,793,532,122,
174,463,685,136,298,485,672,210,261,349,335,646,751,120,663,424,998,678,893,
001,432,432,366,008,226,629,202,414,927,208,602,274,910,157,571,226,980,999,
703,117,283,679,254,600,896,099,847,302,478,662,561,580,846,026,548,319,196,
498,123,735,072,475,487,992,412,426,414,736,788,976,311,459,182,223,868,419,
991,406,410,018,685,519,619,947,776,728,230,618,572,395,703,024,101,614,083,
083,076,421,715,878,433,416,163,996,044,696,864,801,260,969,462,836,177,884,
077,690,998,321,365,282,820,032,432,215,047,127,803,296,320,095,829,492,980,
894,423,316,431,683,510,479,059,751,122,444,880,483,396,570,068,687,662,637,
121,930,774,900,489,278,482,693,632,969,088,760,088,102,538,326,577,736,957,
302,979,828,474,317,196,232,331,969,609,406,745,400,019,592,888,178,964,441,
298,485,039,574,191,843,329,423,299,652,699,997,257,045,368,035,378,895,957,
196,934,824,327,452,485,370,291,108,410,853,410,346,672,869,447,473,218,431,
366,568,274,004,534,895,490,637,746,551,137,265,175,149,859,438,436,046,615,
564,026,772,491,539,882,287,025,511,364,139,052,295,969,746,517,370,514,466,
887,725,459,506,576,595,515,698,073,139,463,599,486,743,929,721,263,271,256,
164,373,073,570,033,020,021,992,510,716,835,862,268,933,178,653,959,048,300,
091,368,479,603,203,702,076,904,706,190,302,551,619,059,940,581,470,713,162,
421,846,401,997,656,182,817,421,617,400,074,328,409,047,232,473,448,195,227,
893,402,505,926,327,044,089,972,871,427,465,742,066,730,250,884,877,264,159,
553,530,388,879,702,499,307,135,603,867,283,793,516,912,981,187,119,696,171,
560,057,362,119,308,239,435,962,475,349,747,810,406,283,144,903,725,680,062,
195,470,335,256,796,111,784,003,062,456,263,167,036,488,197,937,836,008,823,
232,536,496,981,147,098,049,127,227,616,490,433,280,557,352,778,695,095,595,
592,725,292,632,970,848,465,057,743,140,753,422,673,525,170,205,098,289,081,
754,811,327,170,375,967,376,624,840,396,482,023,951,810,456,285,892,958,076,
845,787,399,117,118,001,790,195,605,388,495,369,915,720,082,936,899,822,301,
656,439,301,073,280,578,698,748,040,009,098,927,675,453,869,590,447,179,065,
347,070,166,396,187,712,678,036,019,444,667,526,844,153,790,907,714,838,191,
274,418,445,702,438,574,647,611,012,230,117,588,132,159,430,486,896,561,066,
397,534,593,364,026,169,570,981,544,765,873,695,038,663,199,769,767,430,747,
286,421,018,127,182,159,218,639,235,078,928,116,697,009,093,298,433,158,542,
314,928,758,285,476,170,866,368,910,473,006,664,089,855,816,216,008,824,583,
931,965,849,995,264,434,801,398,725,286,198,252,538,420,611,625,296,233,675,
143,265,671,327,345,894,465,359,190,786,982,188,510,758,104,678,721,441,124,
127,250,768,591,544,719,551,169,466,682,520,339,710,147,166,575,524,796,651,
747,760,038,700,929,819,269,805,239,909,127,867,491,048,283,499,336,372,817,
127,729,464,967,741,366,630,874,752,031,529,259,478,552,273,916,021,055,462,
901,487,649,369,664,348,273,529,333,726,870,339,039,904,529,197,310,152,698,
197,014,597,804,120,668,045,475,374,515,617,680,218,556,281,016,869,613,903,
797,751,886,595,261,614,295,747,553,660,442,617,775,953,367,214,534,459,937,
213,609,248,761,544,412,834,896,051,687,310,593,387,011,377,489,233,314,864,
523,177,718,435,491,359,018,011,654,654,959,923,615,201,300,267,847,312,103,
215,730,890,489,182,871,404,446,602,303,840,729,214,509,073,884,058,471,362,
953,282,465,325,088,648,231,201,625,912,678,436,218,234,616,086,490,553,363,
498,590,822,518,211,501,906,293,941,022,134,899,709,311,212,825,408,141,425,
320,931,135,509,596,357,451,939,739,332,262,179,482,283,853,323,448,692,987,
593,758,084,479,661,381,464,881,308,971,381,693,258,438,237,069,560,750,965,
365,531,071,071,912,129,337,358,341,113,247,268,851,990,562,821,260,246,719,
846,467,256,501,326,328,743,545,566,477,170,510,172,595,690,968,429,130,749,
896,950,175,795,729,767,110,919,029,096,522,234,319,167,500,575,904,011,633,
925,390,777,309,900,213,406,943,268,161,814,695,243,870,503,717,708,799,093,
672,660,842,174,979,126,962,975,232,947,421,989,638,667,157,472,195,260,099,
248,110,828,594,288,685,831,208,140,230,340,725,218,420,782,339,924,888,275,
759,744,914,319,349,995,946,737,414,717,242,485,020,829,541,617,945,347,048,
814,402,603,662,789,541,902,965,174,763,181,073,320,357,739,905,956,252,108,
755,060,001,568,175,988,098,851,340,019,496,927,799,948,930,106,509,139,494,
516,889,039,567,348,599,938,583,841,764,135,749,265,681,336,916,944,497,484,
388,677,756,983,368,426,681,001,194,136,980,166,280,686,674,503,305,999,887,
235,172,469,715,755,885,265,588,423,950,708,048,306,046,495,152,425,105,876,
018,229,409,033,726,810,177,819,302,182,838,097,274,310,529,169,713,314,573,
789,784,485,631,494,643,489,825,640,512,270,918,932,556,940,714,818,771,370,
174,761,274,995,459,488,287,161,551,392,746,199,857,672,964,349,785,238,768,
546,667,301,646,735,329,705,938,574,050,834,407,978,702,911,847,020,332,126,
305,691,792,546,687,283,615,460,292,207,288,743,776,814,651,409,681,416,546,
334,814,766,699,127,178,832,719,050,448,383,510,475,284,889,915,371,908,049,
711,692,717,672,244,503,395,935,516,476,723,289,969,686,704,358,399,783,381,
541,083,727,906,785,782,446,285,511,294,713,675,292,798,822,994,676,122,963,
202,095,420,470,484,821,797,300,540,790,695,876,631,014,152,720,890,718,729,
723,890,915,029,894,921,473,941,118,340,767,626,024,968,710,362,778,259,862,
083,309,186,139,615,371,744,774,185,689,597,106,310,438,334,811,990,648,595,
977,007,943,124,920,638,965,573,339,742,988,163,288,757,639,684,789,580,037,
182,877,794,718,858,840,947,181,768,125,079,109,428,826,252,862,151,398,867,
661,584,305,325,875,750,843,864,282,979,162,783,315,374,362,728,189,847,387,
334,458,285,486,771,665,992,655,181,700,502,259,137,778,851,913,505,407,587,
151,962,520,266,681,662,204,430,061,160,133,459,947,624,417,316,881,356,073,
260,398,806,369,796,634,335,694,284,003,665,125,698,953,244,127,866,758,768,
549,905,709,710,594,682,491,314,405,344,032,064,692,124,459,742,836,874,441,
835,881,938,286,163,069,633,909,073,041,121,229,987,392,411,007,740,193,747,
959,889,589,156,187,355,946,817,539,236,597,642,671,324,304,185,582,271,543,
532,957,713,256,059,157,405,219,935,536,190,591,438,980,522,021,489,248,134,
865,072,179,584,327,336,149,754,688,275,190,232,775,217,877,439,884,053,481,
922,457,602,077,892,461,645,046,816,956,663,550,509,834,382,725,339,990,793,
213,541,525,289,016,286,740,064,877,855,030,868,521,484,477,737,999,787,059,
850,922,627,875,542,622,159,821,457,056,627,577,527,102,044,996,469,779,246,
976,081,262,974,602,913,237,664,911,705,300,546,183,059,996,698,104,051,318,
707,524,127,039,644,807,995,460,090,881,058,615,185,793,200,523,899,368,751,
446,995,842,305,357,232,861,448,918,706,459,307,813,800,449,260,933,117,335,
626,921,523,265,824,864,846,609,456,126,852,195,345,301,594,484,963,666,293,
986,046,884,946,043,443,561,244,473,874,853,352,999,303,156,732,290,047,520,
625,951,099,452,918,103,296,881,098,188,696,802,094,665,640,671,551,048,475,
992,277,318,765,839,325,539,805,974,256,618,576,720,573,892,995,044,928,443,
411,708,965,606,388,904,612,875,695,099,359,305,462,603,502,566,745,168,249,
243,929,402,780,255,075,572,031,463,584,145,641,151,537,047,370,927,965,429,
023,298,031,503,711,085,275,952,354,418,827,794,822,491,492,980,537,201,665,
956,643,919,091,733,797,993,207,160,821,953,880,557,218,370,133,049,998,235,
079,148,723,706,113,982,214,756,059,176,114,850,822,667,791,293,095,424,117,
364,589,933,063,102,066,948,816,874,839,851,381,754,094,645,613,781,056,893,
345,049,351,356,965,620,636,480,892,977,697,377,562,258,933,756,615,818,489,
228,740,624,119,727,289,611,960,868,785,829,252,001,247,139,985,110,076,746,
979,408,543,595,480,888,383,092,113,087,442,570,975,518,721,472,767,013,544,
970,266,542,440,019,883,988,207,034,442,734,692,495,007,269,943,578,346,972,
167,341,752,907,706,236,387,571,862,382,912,438,473,038,252,363,891,264,483,
010,357,845,259,084,671,117,250,380,447,357,462,181,796,840,035,726,052,330,
386,070,764,386,400,040,199,317,556,606,173,338,563,238,998,035,770,384,130,
687,457,259,073,377,230,644,481,629,531,875,456,481,871,591,987,784,352,402,
697,848,203,427,478,814,185,241,297,673,853,068,976,090,583,501,863,665,179,
779,204,998,061,460,627,630,268,660,003,401,054,081,757,603,725,082,188,313,
597,131,445,941,234,381,280,980,093,766,039,907,297,552,324,206,667,260,996,
726,790,179,561,575,342,111,771,992,518,651,895,285,134,312,195,072,549,377,
981,833,197,925,991,154,692,149,056,447,893,412,145,730,299,739,173,875,204,
123,611,349,628,938,561,586,315,752,385,112,081,002,812,289,706,712,799,770,
185,296,876,501,172,371,742,364,625,286,052,272,664,208,088,476,133,922,600,
351,028,237,371,241,506,786,561,411,103,657,321,053,774,935,421,152,442,124,
013,709,980,731,295,455,217,455,955,252,321,329,800,663,610,732,682,144,872,
129,319,883,417,654,046,925,182,393,284,249,383,580,041,316,639,517,214,334,
142,251,038,360,158,970,478,559,720,443,565,771,595,334,202,824,573,224,518,
815,171,283,388,670,197,258,995,170,725,897,095,979,105,391,120,675,832,263,
954,932,672,193,876,894,838,353,870,442,246,352,263,169,357,942,947,111,433,
960,650,629,782,514,594,353,452,264,504,766,904,191,353,235,553,942,333,781,
007,730,977,440,121,769,596,729,001,301,365,088,182,154,044,862,930,626,925,
776,128,563,530,366,990,875,953,695,182,971,674,556,749,190,155,007,536,634,
961,342,603,647,636,146,066,693,740,116,997,049,770,443,503,746,811,137,567,
049,485,849,397,970,338,029,915,040,110,258,119,593,126,333,958,829,161,082,
828,949,913,912,755,713,031,645,887,523,704,519,944,145,530,356,416,361,498,
485,584,094,134,676,793,063,669,915,824,468,947,190,259,247,932,774,831,460,
472,514,049,992,763,638,691,272,806,369,455,623,009,036,044,839,661,336,508,
635,116,771,263,731,194,368,108,491,471,345,084,848,425,820,705,030,345,076,
769,050,347,130,696,030,531,602,216,636,180,372,000,248,545,059,924,277,952,
945,936,330,411,813,783,831,024,433,839,422,424,128,407,278,828,128,653,254,
477,887,374,885,897,945,739,755,348,299,711,115,999,648,967,945,603,308,947,
204,298,685,219,442,097,092,740,944,801,587,845,023,897,347,438,197,291,151,
621,690,166,770,349,162,819,753,827,637,814,058,008,638,949,159,715,140,670,
634,656,889,578,103,510,115,338,863,003,674,064,461,480,521,061,907,419,091,
986,208,312,009,848,807,879,413,354,188,671,776,346,343,108,733,413,998,824,
634,739,313,463,074,546,422,139,504,708,501,712,616,365,276,421,138,621,951,
712,891,943,609,001,202,498,462,634,048,731,606,356,466,551,037,688,721,525,
586,650,519,328,280,320,392,211,691,513,607,615,868,400,307,958,106,311,723,
358,178,834,757,637,134,233,772,551,010,603,535,351,026,931,859,886,559,820,
477,626,788,123,191,694,819,578,123,667,330,674,839,180,876,225,779,300,069,
229,570,835,759,344,094,796,358,372,150,581,490,417,446,683,485,177,033,953,
597,917,836,077,226,211,119,292,805,917,311,606,170,526,962,513,208,409,936,
944,089,598,999,842,416,654,212,600,945,834,823,898,722,001,665,719,303,841,
800,111,164,680,004,662,493,435,280,979,066,348,582,478,576,658,165,534,645,
562,527,739,710,308,454,347,921,727,054,084,968,441,207,675,433,137,701,617,
663,447,711,601,044,987,215,974,865,260,265,887,555,516,879,052,024,693,563,
090,898,861,797,110,171,762,156,061,635,814,730,485,590,388,970,228,299,396,
743,341,287,342,882,550,197,588,767,700,620,643,686,769,367,471,423,504,813,
682,151,602,378,492,697,047,659,684,586,815,091,145,932,836,173,824,053,084,
161,641,536,069,766,331,162,806,960,797,605,825,521,810,025,720,079,603,776,
581,212,461,487,497,197,706,407,075,058,778,793,904,151,378,482,536,911,416,
547,310,886,098,323,772,287,224,607,558,951,035,391,889,724,452,083,371,415,
734,023,876,226,772,281,226,183,723,162,264,425,850,697,355,401,177,715,799,
400,809,830,132,794,393,441,047,465,862,765,917,790,357,801,576,488,782,086,
826,172,058,302,962,215,400,194,323,083,316,255,690,983,687,462,510,253,461,
286,463,877,142,295,866,618,110,208,958,394,854,473,291,730,287,519,820,135,
035,784,330,119,618,939,954,374,872,615,083,966,974,324,910,631,170,155,213,
533,688,223,320,811,704,682,432,199,864,211,592,700,497,138,465,419,326,934,
864,005,824,245,178,545,215,307,820,689,147,222,886,677,990,807,313,439,676,
697,732,895,835,309,434,429,026,552,636,103,327,404,478,553,547,137,332,699,
923,352,961,769,682,847,432,168,073,573,129,176,951,940,917,916,698,744,711,
038,193,093,651,926,612,636,015,369,428,486,806,836,217,809,202,492,420,912,
148,228,096,220,278,366,907,878,211,990,399,800,283,749,644,152,638,688,561,
327,367,548,339,757,744,514,738,509,422,710,198,543,815,726,582,692,904,417,
382,167,640,078,295,084,780,196,275,521,719,221,075,076,371,099,367,339,667,
644,020,643,091,542,176,137,231,442,081,376,532,082,712,808,692,588,348,188,
556,583,165,790,501,538,584,598,738,814,363,536,744,315,451,696,874,340,613,
694,796,812,935,288,794,790,760,476,961,233,320,428,569,971,677,887,826,415,
927,094,273,330,211,328,563,419,580,084,089,084,694,275,180,992,075,352,850,
644,785,911,764,861,443,407,096,263,385,283,402,300,745,239,842,757,916,109,
937,201,466,785,934,118,549,582,740,779,605,961,020,734,576,484,308,749,664,
204,007,157,910,181,220,003,601,667,915,725,748,617,431,549,457,435,635,113,
976,745,467,428,298,452,394,911,101,619,120,966,439,767,364,031,746,100,274,
814,400,331,089,282,678,791,030,332,176,660,165,008,598,967,067,460,849,778,
056,055,725,924,590,475,333,732,824,997,736,314,438,078,875,020,128,932,677,
015,560,574,551,832,824,773,867,752,959,557,607,600,515,038,567,653,270,348,
809,653,850,609,556,782,304,590,934,940,497,229,770,344,029,256,717,958,147,
331,384,408,191,100,594,674,194,099,062,740,543,700,125,651,150,356,723,292,
288,677,545,475,239,823,663,516,666,122,664,318,430,145,299,512,225,098,941,
854,464,995,315,941,179,632,094,385,466,283,558,600,392,970,753,634,788,180,
819,663,088,831,165,819,774,680,661,036,231,135,659,175,804,593,309,499,798,
080,240,951,401,374,853,843,775,087,369,372,013,343,831,768,429,610,516,189,
525,745,012,133,240,565,585,615,824,718,412,685,130,530,794,012,897,425,511,
057,920,429,483,547,269,672,236,040,080,501,185,017,771,982,837,837,244,811,
489,197,098,647,413,395,404,627,115,278,391,605,567,367,999,874,823,801,673,
419,396,517,584,081,597,897,597,584,079,261,918,853,624,520,098,597,393,496,
258,746,727,640,367,597,449,829,350,643,392,752,638,672,184,152,502,281,441,
355,042,905,978,308,671,545,764,871,722,200,103,632,989,032,820,169,951,966,
697,711,809,460,860,123,086,382,530,012,850,756,071,890,939,978,103,444,242,
354,803,356,596,727,116,247,272,439,040,561,308,650,452,052,973,015,932,525,
280,999,006,323,661,370,654,865,081,673,552,277,071,101,542,823,342,228,470,
395,786,854,720,921,340,886,163,443,937,729,236,929,191,773,569,275,195,912,
305,956,823,420,217,844,445,965,909,084,836,428,196,400,976,394,568,654,767,
475,595,395,368,767,919,349,370,018,924,960,432,120,161,206,441,376,356,806,
357,411,278,119,651,778,625,163,876,074,371,471,744,520,787,447,247,301,885,
726,002,344,081,448,942,170,550,041,429,341,042,568,804,460,317,727,144,153,
182,019,480,113,012,451,998,280,229,677,510,000,410,523,161,600,752,172,716,
759,349,179,192,534,237,742,176,982,589,313,102,232,057,380,708,116,997,609,
534,246,687,147,321,195,055,356,588,660,873,773,824,252,502,319,464,210,255,
296,311,887,496,080,532,374,861,073,543,059,332,068,115,845,016,941,316,210,
040,204,618,987,666,597,727,849,807,123,636,916,283,699,115,333,636,782,808,
224,630,330,926,837,951,845,219,034,283,709,620,985,985,329,957,816,324,744,
559,546,209,869,065,410,220,896,681,770,622,171,639,191,995,874,160,448,809,
923,668,607,868,412,193,173,242,637,142,637,781,541,171,701,878,240,588,805,
760,475,121,722,452,381,347,965,323,353,235,056,043,519,162,554,032,644,922,
664,152,900,870,984,742,705,487,720,067,520,803,717,969,735,367,363,681,460,
921,394,042,614,385,295,652,423,881,598,242,639,317,757,685,308,131,426,543,
536,391,116,998,981,226,733,428,042,901,423,781,943,784,071,237,711,774,789,
684,451,975,408,638,802,789,841,629,748,505,356,897,133,724,088,995,378,840,
057,336,866,572,821,187,906,330,402,076,486,478,859,959,153,116,169,805,289,
138,414,587,355,308,816,285,348,643,082,619,511,834,915,433,085,552,602,486,
041,335,846,561,918,040,462,503,599,839,023,668,060,232,342,029,229,764,993,
455,341,112,572,620,175,161,819,033,320,905,809,606,775,166,892,476,534,666,
436,279,485,293,595,694,257,733,725,225,141,022,908,280,517,427,368,463,617,
345,174,469,912,778,477,662,369,440,048,275,700,362,566,224,418,987,503,503,
446,336,056,229,927,482,803,406,641,960,154,618,132,721,458,507,735,421,075,
424,655,570,333,895,325,323,507,182,838,436,430,797,162,961,450,291,803,135,
128,947,335,150,249,026,477,388,135,049,049,743,815,457,536,744,535,977,283,
128,712,779,404,960,686,889,645,978,672,843,317,573,573,506,258,513,261,389,
381,408,985,462,358,849,029,260,829,647,583,573,148,722,251,048,617,423,448,
005,483,136,319,857,893,989,572,365,826,380,501,445,588,649,070,835,202,536,
881,935,919,143,129,413,659,317,604,067,471,553,416,040,632,164,305,401,334,
118,517,295,046,231,348,275,730,713,881,498,242,744,573,857,313,821,575,283,
696,660,680,410,627,129,277,435,459,697,271,753,296,629,881,912,693,917,041,
938,144,784,733,250,940,071,281,142,613,477,359,633,217,492,427,953,092,530,
240,717,626,219,519,286,835,456,713,755,291,549,859,613,863,527,262,834,478,
064,514,081,746,620,797,461,194,565,436,232,152,395,093,103,073,388,339,902,
302,098,849,944,959,828,389,122,856,327,106,104,500,091,453,968,770,491,737,
080,397,364,856,210,751,032,723,963,897,463,628,897,353,615,506,572,320,010,
448,288,693,572,197,758,131,532,601,277,724,733,789,026,308,923,518,021,690,
049,586,498,686,516,203,108,575,548,523,167,197,678,316,397,987,611,168,872,
071,554,705,273,468,095,282,448,053,782,391,050,034,877,236,598,324,280,273,
369,397,333,804,917,474,862,097,378,660,399,122,415,917,903,096,951,528,594,
633,871,460,177,709,202,110,819,280,679,421,371,285,925,418,331,121,318,749,
627,171,498,502,379,033,307,545,949,590,262,287,542,035,280,109,226,280,433,
395,356,932,157,352,964,936,178,843,806,860,955,633,579,668,561,628,149,222,
991,395,176,569,545,318,666,039,706,440,512,730,849,895,870,608,282,489,452,
550,835,969,899,196,813,191,904,208,438,362,310,134,897,243,845,703,818,000,
466,783,019,865,709,058,170,247,363,919,832,741,867,302,289,055,266,772,249,
221,316,439,642,257,701,805,194,923,232,289,163,321,790,111,776,651,135,898,
421,557,767,642,355,465,782,698,886,925,223,381,217,082,778,467,916,082,284,
322,202,271,700,463,026,928,680,612,951,787,133,292,831,655,037,514,301,801,
670,149,986,242,511,212,928,593,508,668,397,366,202,086,850,304,153,577,946,
636,311,951,232,934,230,261,896,782,159,584,180,344,770,990,787,421,048,551,
952,762,968,887,812,121,099,346,340,535,963,163,815,451,913,674,202,422,961,
471,563,462,700,386,743,627,235,406,404,691,720,919,573,629,900,484,414,415,
182,743,470,115,680,936,076,191,538,855,678,782,646,471,942,221,943,591,744,
471,968,321,681,799,861,264,348,665,748,206,234,992,855,193,236,922,077,686,
658,743,314,156,513,164,653,016,400,911,703,500,542,588,948,757,206,825,597,
250,391,552,881,340,935,260,391,813,833,540,990,653,434,218,584,536,770,801,
015,483,739,063,817,009,557,551,227,201,835,993,217,588,071,591,616,023,385,
007,059,971,861,362,155,207,671,487,500,200,047,625,588,529,374,749,224,727,
319,903,698,094,093,492,311,888,830,838,220,925,987,668,551,398,232,401,469,
494,006,630,190,616,695,634,896,659,146,076,312,364,136,702,818,985,460,905,
014,513,561,559,225,523,247,729,845,752,752,561,755,471,896,006,552,536,876,
648,610,180,137,252,941,219,695,995,474,858,661,099,157,744,530,393,999,758,
233,221,793,338,936,689,497,241,972,635,558,199,680,097,899,933,542,170,041,
887,146,261,318,501,059,967,238,424,040,795,394,424,677,298,674,938,605,336,
817,245,258,254,405,142,084,376,020,647,290,704,066,619,453,115,866,015,977,
451,760,396,300,555,812,970,261,558,967,597,562,676,023,986,131,285,944,124,
002,037,278,396,788,670,472,599,922,708,052,005,952,515,713,036,094,557,797,
947,029,615,676,917,847,750,879,344,949,491,940,055,230,183,472,598,554,424,
509,606,168,980,467,389,114,631,827,359,466,194,141,526,609,052,525,969,255,
630,333,828,012,628,220,007,778,753,717,018,565,626,609,082,894,229,881,890,
789,531,600,173,095,795,325,772,360,834,350,490,476,982,593,918,757,535,477,
648,092,117,451,021,340,890,301,551,320,201,355,419,722,382,237,235,473,258,
613,517,690,555,404,040,435,355,864,863,484,274,202,778,239,403,712,710,751,
817,657,612,467,177,653,449,483,164,701,857,202,487,051,501,565,225,048,524,
665,841,519,434,259,948,823,164,010,584,209,801,323,875,222,287,275,016,859,
131,090,654,235,119,739,824,779,791,608,653,875,522,786,914,783,369,285,136,
059,302,173,836,084,971,376,806,683,308,874,003,460,505,042,595,233,325,008,
134,709,909,095,399,020,683,377,325,357,133,059,279,039,297,980,288,364,666,
865,375,096,141,682,817,899,226,687,845,553,871,637,745,060,317,259,514,281,
161,336,953,086,370,802,783,840,186,822,928,140,156,967,381,354,372,419,082,
633,754,551,819,603,017,715,006,916,907,705,510,423,451,049,561,855,004,403,
923,677,906,354,061,473,585,669,944,257,190,525,497,058,474,358,562,983,034,
669,748,691,968,476,899,912,202,583,912,146,230,342,088,206,812,997,571,521,
804,142,804,735,165,063,956,959,775,321,098,021,367,632,607,576,601,037,322,
195,536,329,471,265,378,397,664,378,646,603,644,647,171,482,712,647,694,587,
445,177,295,148,721,186,442,875,395,475,082,402,925,242,699,827,571,712,411,
627,090,871,234,078,029,187,101,274,431,917,820,025,837,615,360,037,523,553,
270,204,744,571,764,309,948,038,047,442,199,480,256,187,879,531,738,794,253,
228,588,189,198,888,656,249,790,744,081,125,564,258,314,720,291,480,614,155,
973,815,534,419,065,982,533,451,260,842,677,082,809,211,965,179,750,647,818,
141,526,085,401,276,495,965,268,026,229,793,073,007,319,680,052,061,531,151,
858,978,802,545,249,063,373,346,717,484,369,335,127,667,524,196,920,588,002,
763,299,292,908,690,944,328,681,351,324,071,429,312,461,807,362,820,247,489,
459,027,719,432,166,950,305,138,677,993,512,991,310,381,076,689,775,599,443,
585,352,591,485,281,359,873,884,304,844,100,549,319,850,358,987,874,823,397,
549,421,488,417,968,057,227,456,455,946,839,789,364,656,269,897,479,435,655,
448,824,895,650,817,347,871,246,402,931,277,485,054,531,042,823,552,390,510,
958,063,748,763,031,220,373,870,311,237,007,221,528,679,826,038,482,081,271,
190,334,537,028,324,216,630,972,392,092,161,026,394,358,412,587,126,715,902,
202,484,379,106,238,636,423,708,687,250,833,293,760,432,903,170,977,312,042,
115,184,244,178,645,560,448,082,621,175,469,502,817,112,430,920,860,775,763,
347,362,016,665,412,989,497,524,293,167,788,700,063,882,368,132,714,987,708,
600,014,099,282,145,517,217,040,011,100,558,967,163,600,009,922,559,241,380,
488,854,249,512,206,554,877,787,695,781,515,265,172,873,637,493,966,487,999,
817,399,141,664,967,150,313,850,972,646,805,205,327,868,456,715,052,287,037,
377,858,084,095,226,437,377,348,650,842,012,661,938,967,316,620,170,919,405,
302,304,745,628,023,805,456,959,309,551,294,857,272,833,777,457,895,102,245,
140,059,522,718,893,882,405,574,261,071,008,068,400,332,864,665,860,755,185,
062,111,234,678,145,378,102,017,438,062,129,851,505,817,603,734,435,367,109,
586,274,393,012,384,347,504,841,993,650,250,275,623,909,215,859,180,115,735,
032,413,662,586,411,070,070,632,496,376,588,375,971,994,042,141,604,372,803,
591,602,758,759,592,984,514,941,719,622,449,037,276,614,824,446,658,312,168,
959,459,885,005,874,899,956,610,929,594,909,655,855,411,616,115,064,404,179,
564,600,865,310,371,981,037,679,634,358,063,403,762,433,384,730,437,996,928,
416,518,937,401,183,072,781,620,046,894,087,362,048,853,548,077,602,520,875,
016,345,934,802,673,645,084,116,550,061,074,555,207,411,556,275,575,123,560,
569,610,292,054,219,840,636,393,212,246,680,645,858,543,091,404,401,679,373,
448,854,153,386,686,348,499,023,829,113,397,585,065,394,266,358,595,976,316,
938,838,529,141,607,542,676,055,128,960,536,940,408,390,566,200,475,157,151,
884,669,351,686,988,465,792,404,185,063,370,688,884,773,710,304,831,634,785,
379,033,883,244,044,790,114,212,506,844,793,119,881,439,758,845,495,990,663,
165,593,275,934,997,346,696,956,175,993,902,896,827,176,991,144,172,419,413,
566,683,557,257,419,437,688,685,022,440,939,635,541,080,788,254,878,987,875,
807,633,740,438,541,397,832,958,538,001,364,489,868,160,988,852,836,459,573,
696,679,979,325,126,799,663,135,637,754,427,191,951,971,736,545,471,952,407,
458,652,946,636,587,601,742,042,957,079,062,480,576,522,702,706,044,196,127,
826,914,057,045,793,012,642,679,376,541,025,150,057,478,091,803,807,159,926,
240,157,909,220,827,929,533,653,028,606,196,734,906,858,733,391,128,978,275,
614,141,983,511,898,196,997,442,369,126,791,052,285,982,411,707,824,225,405,
800,511,846,607,773,659,566,365,951,748,520,551,029,583,518,597,376,487,537,
431,842,182,544,774,620,270,891,264,374,636,538,581,308,652,095,854,061,838,
698,226,903,216,970,111,680,026,254,408,630,818,972,771,800,449,052,205,372,
307,561,255,444,390,419,164,032,710,917,610,235,224,848,142,324,962,036,153,
035,556,758,253,343,757,516,258,565,796,782,968,205,614,332,963,575,342,592,
073,345,480,519,012,421,633,143,118,525,667,181,718,401,135,871,243,602,738,
159,738,081,914,885,877,516,676,878,201,812,038,712,774,271,810,328,571,844,
452,765,661,577,791,755,313,368,503,438,409,741,540,759,459,050,854,132,204,
286,786,747,545,851,888,555,165,479,795,780,229,325,740,365,961,986,897,388,
634,201,755,489,540,671,269,601,481,870,923,161,326,429,873,544,203,517,990,
746,076,727,488,994,388,725,403,445,645,999,983,208,990,208,714,702,137,484,
950,588,115,947,776,210,649,872,850,438,514,486,483,995,665,057,142,653,693,
588,637,076,228,731,617,741,234,889,718,700,596,239,680,057,927,131,803,249,
498,226,975,254,554,051,174,899,392,023,106,297,872,984,523,386,052,228,489,
386,490,640,737,587,658,267,495,649,605,459,730,149,346,319,714,448,104,263,
824,626,566,311,509,648,497,131,486,329,741,360,059,049,386,425,712,267,750,
682,931,581,074,656,002,219,680,437,781,856,467,130,861,099,752,449,992,585,
251,999,510,194,975,180,009,343,685,845,332,978,860,734,105,682,197,858,804,
490,711,187,250,709,537,241,216,144,697,942,939,291,534,419,146,259,526,742,
871,271,007,448,329,707,430,212,076,312,956,127,432,436,144,857,847,812,740,
485,194,261,973,045,710,668,000,719,183,288,398,733,161,488,415,300,721,942,
841,413,902,877,865,587,007,212,834,749,171,989,997,836,511,194,171,411,586,
004,317,500,685,845,342,365,754,339,596,822,605,888,941,394,267,671,523,816,
193,158,697,426,258,160,572,574,844,142,990,426,474,294,364,555,459,246,655,
418,088,114,830,626,649,563,075,512,181,004,038,655,643,002,897,409,383,661,
511,834,607,091,971,265,997,676,184,880,927,639,985,762,191,812,636,307,436,
176,799,451,485,443,961,997,182,091,979,826,332,957,509,047,884,242,640,249,
676,939,030,704,261,580,879,962,510,532,698,662,338,093,843,157,720,299,001,
622,498,297,465,774,131,833,188,341,109,167,065,281,360,313,194,090,784,493,
128,507,361,251,637,519,142,166,613,396,490,140,302,823,360,876,368,753,316,
168,892,216,477,715,346,273,132,589,364,707,858,978,795,488,279,950,276,857,
610,311,949,020,720,413,883,674,551,140,160,064,688,265,254,018,323,347,833,
621,935,514,343,941,681,109,136,112,727,489,889,812,016,734,550,152,286,703,
734,650,640,784,459,567,158,853,572,015,619,334,231,099,977,862,505,842,624,
543,122,187,305,435,907,742,161,679,482,699,603,121,771,272,582,157,546,034,
362,570,192,158,621,698,039,823,873,289,063,518,741,048,075,268,830,761,568,
136,441,912,611,127,094,611,867,130,044,087,409,601,538,044,318,665,149,651,
352,991,500,098,639,528,561,972,475,016,168,305,636,217,353,797,957,730,799,
920,489,006,064,706,460,139,961,826,009,751,738,227,414,499,738,400,293,519,
587,684,781,595,349,163,136,474,746,327,188,624,989,388,126,083,705,613,878,
828,233,743,565,891,800,193,926,357,019,020,148,278,702,865,876,372,784,179,
134,172,033,630,416,997,783,186,316,541,329,938,982,628,605,366,391,593,178,
664,097,685,952,318,718,733,055,332,801,050,941,009,640,471,965,046,384,874,
253,897,506,425,943,447,359,495,954,337,681,121,169,901,224,257,491,746,400,
389,774,710,427,426,533,859,674,621,234,880,999,871,923,784,067,367,421,444,
676,331,512,496,540,557,597,041,691,698,154,571,649,148,078,629,616,000,241,
292,674,452,246,635,194,038,154,412,037,072,095,145,902,832,880,183,670,992,
194,134,244,270,813,219,360,291,750,098,155,939,264,427,500,912,352,650,467,
353,563,208,294,818,980,932,571,913,267,664,379,971,879,258,357,905,935,781,
423,405,607,195,692,344,057,410,250,980,390,504,599,534,061,471,744,206,523,
493,159,144,759,783,701,265,432,346,869,113,431,176,528,596,524,242,628,683,
817,311,810,974,762,960,245,105,977,626,640,741,184,562,714,566,436,993,794,
549,867,461,103,426,917,235,455,840,587,645,389,018,465,865,246,175,987,658,
023,078,751,552,447,272,649,607,897,400,831,720,418,512,271,258,696,108,497,
886,247,507,026,377,148,771,338,949,761,470,498,073,407,997,964,625,555,264,
696,961,524,116,945,840,457,382,165,268,460,490,615,992,587,991,600,227,026,
919,445,103,722,907,619,245,448,877,872,040,694,724,854,170,570,656,025,448,
795,377,061,796,242,964,996,905,469,061,937,358,789,865,081,103,322,375,199,
699,341,898,614,032,145,770,201,692,420,587,811,125,750,494,743,020,425,204,
535,136,570,435,691,618,420,031,957,233,783,576,984,323,464,387,995,010,224,
240,601,438,878,275,952,805,346,806,292,591,126,824,440,237,855,234,196,213,
202,620,659,085,626,524,922,399,521,164,716,393,096,268,877,120,813,995,210,
844,233,206,788,826,883,494,846,241,507,097,986,219,840,619,768,041,643,527,
548,547,923,838,097,795,830,052,123,299,592,330,343,350,454,275,750,012,400,
527,145,636,565,913,475,944,755,511,350,534,040,616,142,832,056,638,057,548,
974,263,828,060,316,082,058,515,530,488,250,958,905,282,801,553,954,647,353,
961,937,677,384,264,435,134,367,809,520,572,134,902,841,442,849,828,915,912,
783,639,740,855,504,110,773,851,885,460,913,128,494,876,346,142,257,627,456,
177,611,559,271,243,033,783,557,417,632,564,023,610,809,924,962,101,899,591,
593,170,597,007,398,607,878,485,833,252,268,173,328,127,999,200,167,294,674,
227,434,206,998,402,901,585,633,849,564,120,386,253,428,764,326,875,538,021,
977,815,368,673,099,985,102,736,571,993,918,911,367,704,723,526,209,282,093,
644,807,712,052,317,086,680,117,372,758,097,803,865,280,750,827,846,602,736,
804,693,682,633,895,972,240,318,469,863,950,647,755,888,523,851,225,429,611,
787,108,834,677,584,105,216,647,188,987,982,138,009,399,069,711,721,020,685,
929,091,454,704,477,227,521,471,464,449,059,154,186,411,513,793,565,978,500,
262,489,143,381,890,993,655,586,123,712,743,697,065,735,742,064,174,284,708,
087,328,552,334,251,476,750,064,016,873,568,891,314,892,118,412,472,524,984,
512,802,858,715,840,417,900,845,542,281,611,110,408,399,951,203,410,265,427,
461,733,946,778,688,254,317,205,524,403,740,860,859,838,096,345,336,994,003,
007,276,741,961,832,750,059,634,501,657,426,271,128,439,677,641,185,754,173,
463,946,040,814,704,554,138,873,601,558,903,934,495,941,853,650,010,546,933,
515,924,774,231,348,447,400,413,870,377,339,143,146,563,071,155,911,743,836,
811,042,190,783,648,301,727,431,483,997,390,555,353,631,051,181,207,000,381,
350,883,434,096,629,866,061,915,598,359,289,469,519,623,383,529,105,241,669,
270,113,544,904,840,499,323,171,013,212,794,877,386,384,803,048,210,306,253,
878,994,306,768,761,662,880,791,383,579,636,663,080,325,681,640,316,257,077,
496,502,402,340,106,645,656,658,417,841,873,188,221,811,665,902,078,465,726,
655,840,645,649,500,423,749,347,440,886,663,451,856,073,964,208,298,235,775,
780,708,055,262,339,421,825,215,961,779,552,906,241,222,478,876,590,889,229,
910,441,517,176,438,670,674,145,877,177,276,748,795,311,165,468,499,930,851,
577,473,229,592,436,621,105,893,384,608,122,379,079,286,634,701,639,207,386,
014,864,814,276,154,022,463,263,084,976,612,602,312,945,365,257,654,975,790,
782,935,643,323,338,601,314,885,244,601,487,985,239,245,099,037,740,924,003,
856,620,780,451,932,470,178,585,686,942,422,469,875,416,575,214,943,732,937,
944,544,515,751,662,996,505,486,182,337,823,222,189,762,181,673,833,183,628,
727,994,793,218,900,602,905,752,135,835,856,506,408,169,085,064,253,858,118,
551,066,056,591,615,296,565,409,951,001,988,224,919,695,172,682,988,488,650,
696,366,645,745,610,755,673,587,587,960,807,951,579,251,696,144,310,210,838,
985,796,639,506,345,698,796,763,289,771,360,570,389,200,417,905,487,222,065,
677,090,138,650,431,852,853,641,485,108,474,616,463,889,064,185,676,855,525,
801,126,379,013,567,263,674,710,625,402,817,092,038,445,784,729,563,356,904,
798,238,588,232,743,068,657,885,040,273,835,522,812,598,224,765,816,040,596,
020,690,411,186,023,609,341,372,115,058,124,875,600,932,437,567,228,298,376,
218,890,356,417,277,188,745,061,409,853,209,097,812,292,015,137,144,525,567,
215,623,242,183,715,934,018,092,278,335,883,270,804,734,126,586,299,250,628,
882,457,064,256,074,563,193,205,036,434,650,166,831,299,207,146,406,904,807,
586,008,861,327,295,626,703,579,619,075,024,062,748,792,596,917,102,831,078,
182,893,447,316,841,926,639,736,851,302,912,928,118,606,287,588,441,959,688,
472,074,615,923,993,996,275,245,919,332,976,508,110,230,958,687,746,266,528,
617,521,691,454,483,863,465,509,995,556,572,933,325,072,419,437,300,015,066,
686,662,170,132,082,944,211,547,863,622,686,840,855,640,782,598,685,954,746,
953,151,422,693,570,662,147,494,818,833,542,350,686,935,464,962,527,238,979,
263,077,812,435,929,172,351,002,229,876,693,808,379,250,927,426,854,735,564,
337,742,370,972,001,603,015,665,934,884,313,002,605,801,275,027,670,961,562,
222,324,712,944,950,028,075,233,972,379,602,844,442,020,340,974,207,669,510,
490,226,183,746,945,092,481,250,386,385,397,119,470,296,677,580,594,127,960,
055,444,988,613,732,832,428,610,255,910,714,438,694,519,094,920,895,290,470,
638,626,522,571,603,473,131,385,597,251,977,613,055,444,108,269,756,302,559,
962,193,542,737,704,598,038,541,648,245,565,175,454,912,408,485,274,307,470,
583,218,819,067,201,549,713,558,571,052,489,106,319,495,349,937,108,112,381,
775,154,675,251,476,611,066,989,259,749,226,594,311,816,953,480,516,329,205,
488,027,192,350,578,434,252,804,704,967,777,256,614,784,322,994,869,617,622,
001,146,731,940,352,482,543,353,522,154,986,252,700,920,385,540,279,579,094,
573,245,312,668,779,813,095,762,876,364,658,781,444,927,427,428,958,384,961,
416,154,069,849,691,790,409,417,713,173,495,464,451,136,319,209,307,880,796,
898,378,274,001,354,861,030,612,096,188,226,559,006,947,225,823,921,203,296,
973,460,840,018,606,604,494,601,053,832,306,178,692,284,284,858,717,981,572,
824,664,418,811,493,102,713,285,747,755,261,434,703,930,453,708,571,431,424,
838,478,436,170,783,000,895,144,299,877,819,269,716,583,059,289,532,309,337,
384,438,570,866,467,109,288,556,291,740,265,708,747,578,858,551,830,081,580,
313,512,450,216,779,641,512,051,456,754,780,939,002,265,209,454,656,353,476,
162,935,427,111,939,315,347,318,459,750,172,620,114,667,592,968,472,112,803,
600,855,355,412,997,206,950,802,135,146,245,915,578,294,220,565,918,285,565,
769,492,315,961,403,939,578,184,318,243,913,724,098,770,870,742,200,248,638,
666,626,265,495,088,475,517,866,724,147,429,848,225,826,061,882,782,636,573,
662,433,687,432,868,133,514,895,182,493,323,237,421,904,590,327,758,684,311,
384,730,785,471,309,536,573,391,611,840,292,300,136,207,068,332,883,294,824,
648,602,674,238,300,179,241,307,823,267,597,052,897,344,409,190,768,029,455,
276,140,967,123,896,681,078,145,553,234,182,241,759,390,977,471,289,688,850,
749,134,802,809,803,388,098,632,236,251,258,719,505,720,914,770,684,263,559,
741,838,563,964,219,668,464,944,803,852,885,846,493,016,833,770,942,428,060,
194,141,074,669,804,013,744,340,484,349,504,626,565,847,077,640,890,310,083,
279,520,508,473,403,057,577,877,496,160,982,681,642,687,478,757,884,366,206,
853,432,845,413,447,394,415,614,786,081,640,343,975,996,124,840,883,036,420,
130,817,221,497,308,374,363,508,137,482,272,032,151,929,258,753,381,682,336,
671,399,387,198,368,052,554,734,887,426,393,656,867,186,853,053,108,203,026,
888,865,083,584,466,563,945,132,789,441,726,698,195,338,160,958,158,002,730,
739,727,929,610,676,038,545,177,226,160,616,083,688,617,888,289,566,901,559,
407,087,553,551,427,482,571,756,697,378,795,472,496,857,882,124,069,670,416,
484,745,240,873,411,618,748,561,957,468,577,694,508,115,968,320,762,316,590,
026,023,883,864,388,887,963,965,038,785,236,979,235,250,222,910,203,112,152,
676,517,558,150,285,778,736,967,346,970,128,620,657,890,235,291,408,357,322,
810,940,194,543,519,776,042,686,688,071,001,385,166,822,686,296,524,791,967,
444,045,232,557,841,871,524,394,545,730,510,710,698,035,579,659,892,091,561,
253,919,865,615,955,692,034,625,404,503,729,311,649,154,202,691,259,824,148,
067,663,888,467,167,338,330,982,586,941,617,053,377,127,761,989,772,680,432,
169,592,430,865,653,279,469,054,141,767,615,554,156,331,353,281,382,895,535,
116,784,651,113,143,045,066,594,274,507,905,932,286,842,507,789,782,736,641,
463,566,081,086,119,955,174,193,398,770,372,367,685,104,550,995,194,274,402,
198,201,030,221,930,079,470,634,313,400,317,141,345,547,141,797,128,298,063,
169,620,313,067,225,638,581,112,877,883,671,655,956,099,830,638,351,850,885,
851,824,588,144,388,487,586,064,019,936,131,417,696,004,125,021,109,117,024,
416,180,763,574,512,292,664,434,571,977,191,323,249,039,853,519,217,868,911,
767,070,522,825,659,920,794,434,697,328,944,788,469,944,349,422,121,943,035,
250,725,906,545,436,524,587,686,258,609,534,652,216,817,060,844,956,661,267,
119,570,969,375,285,124,933,158,457,301,414,310,750,610,805,952,929,926,326,
859,443,517,877,105,102,002,371,040,681,034,277,807,009,550,078,411,120,968,
797,382,979,322,310,950,781,911,325,231,370,564,845,530,859,228,379,887,607,
567,720,408,392,674,382,093,189,901,946,758,537,798,676,281,823,459,264,823,
247,124,250,907,675,401,103,158,701,814,918,616,081,645,752,396,748,575,032,
798,515,804,207,586,164,315,424,734,844,751,551,008,037,847,336,153,401,590,
300,607,232,504,903,930,227,087,384,547,045,636,316,730,288,856,510,322,653,
406,344,895,330,521,151,895,406,786,083,091,424,982,806,677,691,755,816,804,
020,053,924,705,604,695,747,094,743,951,700,913,006,333,010,894,718,943,301,
031,920,435,786,081,395,318,240,148,801,173,264,462,426,553,924,804,836,498,
752,136,110,576,698,399,781,572,355,730,682,290,640,016,548,950,849,113,980,
432,194,384,108,729,937,465,883,528,034,256,277,055,247,062,804,117,962,670,
133,538,799,745,909,390,127,256,785,394,648,319,168,270,137,155,257,218,838,
678,011,024,697,975,029,766,512,835,035,758,082,032,108,758,292,844,703,332,
438,236,789,270,635,160,213,190,043,671,798,190,278,149,466,186,315,982,400,
011,332,328,319,747,142,444,522,309,390,413,068,903,688,319,826,012,733,945,
686,264,750,518,182,964,076,408,993,037,335,993,370,299,218,402,510,231,684,
310,796,491,196,217,344,172,536,077,906,171,871,835,906,016,262,960,886,656,
173,583,218,544,775,692,403,558,849,850,589,439,919,892,976,098,794,055,824,
393,495,997,001,731,458,921,511,780,169,074,701,268,847,513,844,272,217,942,
225,540,204,724,687,454,312,547,964,652,614,854,536,021,367,059,250,323,491,
225,252,072,301,954,023,281,851,718,805,288,461,250,789,137,133,479,177,700,
609,131,365,974,376,703,463,116,819,548,737,982,308,061,210,957,046,317,910,
053,580,144,727,168,766,206,263,948,353,307,361,417,138,836,407,149,741,413,
987,720,167,762,357,486,078,608,868,137,175,673,940,467,709,738,915,775,076,
541,485,997,879,737,256,655,249,034,561,049,651,080,039,071,375,946,253,544,
699,131,748,142,123,501,265,407,884,922,871,483,529,569,004,789,259,074,329,
145,453,645,185,470,704,110,415,701,717,232,593,929,973,078,011,024,669,081,
678,977,109,924,377,180,131,200,453,337,148,907,960,544,273,406,197,848,977,
320,244,735,676,955,005,313,744,886,005,663,064,149,583,524,098,776,920,169,
693,095,723,887,256,685,374,563,782,500,070,944,636,576,378,240,960,286,034,
913,807,237,219,502,657,598,544,436,332,717,433,920,473,919,807,797,250,060,
125,217,654,262,310,624,955,524,464,949,568,115,750,430,180,702,523,189,799,
147,780,002,947,373,116,352,849,657,134,293,288,711,946,790,443,187,175,795,
910,529,987,476,064,131,719,116,687,879,651,009,918,866,844,971,709,393,632,
087,058,482,773,307,337,688,722,073,166,661,544,374,060,575,308,354,855,365,
160,368,636,577,552,586,383,356,233,596,287,045,998,982,770,615,948,395,149,
608,084,887,656,593,631,768,359,838,339,559,493,304,987,651,776,966,983,609,
878,351,782,310,638,524,762,144,696,445,090,064,139,572,866,936,567,684,962,
211,715,704,211,441,191,350,009,929,690,757,522,367,338,258,201,243,336,848,
240,829,423,364,242,620,814,466,722,706,917,862,949,704,643,489,065,532,298,
812,413,607,877,187,327,940,281,571,462,395,184,736,964,125,628,143,772,843,
282,448,107,147,977,361,955,482,036,262,632,465,350,590,493,539,821,085,930,
948,762,457,137,112,162,204,381,419,300,660,887,301,693,054,717,822,059,677,
035,373,651,722,926,312,014,734,213,666,788,177,519,953,987,106,523,356,496,
419,735,960,684,741,038,522,519,479,669,752,155,799,307,134,799,879,504,569,
201,252,843,476,489,978,629,364,236,492,360,967,210,958,151,938,686,061,701,
005,115,723,682,566,333,129,266,651,195,508,652,298,171,183,944,181,283,019,
125,065,046,051,390,188,738,533,754,042,894,903,235,167,262,393,051,419,474,
827,265,292,794,599,590,964,595,071,321,308,573,136,772,238,506,528,192,169,
233,528,996,347,114,219,742,207,876,736,815,104,802,077,454,584,327,909,035,
397,564,442,603,782,472,365,958,210,907,206,097,006,958,819,507,157,295,681,
159,541,186,828,559,905,284,359,996,444,044,377,639,056,366,958,473,801,709,
673,322,066,620,645,673,902,554,589,974,990,857,904,660,975,585,712,204,821,
296,717,697,113,843,192,728,556,687,742,843,775,139,439,257,327,944,787,850,
029,414,744,831,016,990,928,713,559,674,647,580,015,670,011,168,535,637,424,
972,176,397,602,410,520,189,623,683,760,317,310,305,185,276,577,363,443,190,
337,760,624,633,624,373,579,936,075,626,154,316,896,970,931,168,665,690,877,
531,418,588,135,721,197,338,035,028,943,392,707,560,026,805,808,305,786,181,
910,258,306,391,731,056,991,953,840,034,414,590,586,234,652,160,435,060,007,
182,277,018,250,983,081,604,558,712,267,583,158,194,492,445,999,572,833,680,
813,139,926,509,156,030,213,599,129,239,175,942,714,446,826,469,426,139,396,
031,205,174,889,573,751,609,702,482,242,949,987,953,870,092,794,046,863,277,
601,380,913,617,855,814,226,281,202,636,414,827,246,678,329,479,748,898,023,
965,046,003,797,851,294,616,233,429,048,028,621,712,261,043,769,327,165,361,
590,093,177,003,852,529,576,101,876,176,270,561,003,892,088,148,633,004,072,
691,646,732,781,674,503,658,911,332,647,750,815,791,347,515,728,054,979,713,
563,618,705,465,446,703,475,673,285,070,358,400,768,614,969,159,929,076,069,
557,875,527,587,085,580,347,659,531,136,214,700,037,065,305,101,518,980,400,
743,281,159,738,466,086,783,082,235,077,098,784,277,009,887,864,585,127,929,
022,411,271,691,726,025,699,702,859,288,550,311,754,384,876,590,137,530,139,
243,430,877,000,055,189,392,877,232,366,600,430,466,356,273,145,719,320,640,
312,972,877,804,352,524,116,659,405,689,863,732,091,131,000,726,905,847,894,
174,831,965,035,889,068,050,560,034,603,374,528,213,084,264,821,262,114,702,
923,778,235,664,600,059,112,822,659,187,271,857,523,902,906,115,291,686,509,
851,911,237,982,824,827,424,318,844,637,295,190,821,705,322,173,597,181,436,
930,310,295,293,002,112,648,689,348,894,961,103,421,674,956,951,013,792,680,
577,439,412,029,568,608,394,926,529,854,651,758,421,909,945,426,437,622,686,
580,150,489,188,815,977,477,204,208,593,540,027,075,833,746,490,157,250,375,
650,006,367,187,456,385,242,540,939,326,550,241,170,108,718,023,374,172,474,
108,577,461,494,497,216,281,828,645,166,854,397,127,375,660,692,499,417,047,
434,523,954,411,714,455,062,811,356,753,783,417,956,684,966,535,532,614,207,
594,691,577,158,213,232,113,265,580,908,108,708,864,075,992,105,591,102,822,
898,494,460,393,241,378,370,847,755,184,143,313,060,589,390,431,710,541,060,
022,309,746,836,882,235,491,181,491,242,337,382,142,144,936,080,880,210,782,
170,263,079,334,512,768,198,183,943,535,899,825,977,270,044,168,801,451,564,
328,106,474,599,771,027,662,496,070,839,603,902,393,420,337,744,766,864,559,
913,593,719,493,321,806,298,448,850,837,614,328,697,837,553,436,261,080,347,
269,056,629,366,118,319,026,104,809,510,638,696,343,582,237,681,001,138,139,
680,929,949,824,030,916,885,135,435,009,381,673,966,052,936,715,542,279,654,
548,025,779,730,473,043,894,352,824,964,208,260,165,506,790,058,359,089,239,
125,075,552,250,968,126,819,107,148,209,906,765,913,862,143,489,577,537,896,
929,054,214,136,528,058,620,533,501,423,663,182,162,735,403,138,883,873,647,
448,535,712,714,589,918,625,168,923,924,692,444,362,410,160,453,313,287,747,
173,262,626,482,087,882,304,255,045,157,814,782,412,890,693,431,848,435,605,
837,191,782,465,118,239,965,630,185,568,097,767,575,622,293,192,817,974,226,
042,733,657,884,074,149,148,566,279,713,924,842,760,354,172,381,255,370,987,
362,959,425,911,924,926,805,817,610,230,656,524,969,225,433,975,825,710,253,
183,242,283,437,901,029,331,115,537,179,670,848,166,128,936,552,117,581,753,
350,730,499,602,197,687,245,199,054,756,647,665,069,996,552,168,584,849,510,
208,479,626,323,042,765,134,578,932,221,717,379,367,686,383,561,259,750,022,
103,540,044,096,563,204,507,126,320,793,462,828,396,415,948,777,870,478,195,
298,309,589,536,550,032,640,241,314,156,948,776,009,579,481,488,551,186,009,
431,788,772,996,069,220,694,409,801,560,444,770,005,168,359,171,487,822,897,
223,173,075,316,187,256,974,021,591,274,668,365,518,894,158,278,963,348,566,
279,131,017,652,590,292,755,894,194,780,779,010,561,313,141,314,425,134,852,
112,170,950,836,568,272,420,288,159,993,999,794,324,464,061,630,544,066,321,
014,863,078,431,741,210,815,452,584,495,671,325,660,487,595,991,719,889,963,
059,534,998,623,936,577,444,058,688,317,329,083,926,776,515,487,002,228,784,
039,649,914,463,071,762,033,346,244,160,191,620,179,744,293,151,389,411,010,
783,132,360,993,688,458,127,141,420,364,359,091,982,479,903,598,022,091,641,
655,529,097,545,283,548,976,000,210,493,890,869,440,941,341,771,883,195,758,
436,864,209,887,900,700,542,741,613,103,423,603,818,277,306,884,790,588,860,
935,950,381,411,348,573,827,815,208,917,770,945,865,704,433,710,143,980,823,
027,860,843,582,527,345,242,963,568,029,225,563,464,326,694,938,095,813,892,
922,415,622,333,510,391,446,053,615,263,416,318,404,226,729,342,599,983,544,
889,627,913,313,372,330,217,258,048,345,808,520,273,442,169,506,051,274,257,
582,674,302,882,032,232,304,716,959,429,924,116,640,582,368,675,160,103,072,
498,835,600,922,060,886,948,834,998,601,193,687,564,937,961,223,037,072,541,
832,937,455,869,322,073,537,120,483,076,351,292,404,391,102,582,701,263,916,
718,112,938,407,850,805,677,258,258,464,848,296,211,900,741,306,899,306,817,
831,854,615,053,503,553,372,520,135,421,188,127,226,225,551,969,160,332,772,
362,317,187,409,739,416,947,327,537,421,313,237,035,107,078,318,025,274,188,
657,307,925,432,714,150,162,918,626,014,063,958,170,891,234,579,620,820,167,
679,520,991,203,386,254,278,552,773,413,348,140,082,564,376,022,629,564,601,
073,266,869,883,026,751,298,850,382,452,415,220,226,517,642,832,711,011,791,
319,408,319,989,972,701,758,048,039,470,671,350,811,618,623,971,502,753,385,
156,777,797,413,144,662,901,204,670,011,046,849,117,196,200,242,044,656,471,
071,960,562,965,230,381,719,299,056,922,505,846,077,119,067,735,689,865,488,
161,347,638,465,378,116,101,180,456,164,930,743,580,482,785,295,461,527,048,
846,476,965,212,077,942,341,438,086,105,315,064,671,663,553,744,690,944,180,
182,978,501,317,593,809,294,258,553,969,693,239,828,989,923,004,337,861,848,
492,540,861,906,301,351,952,323,254,688,686,805,452,511,901,974,345,766,185,
883,357,474,799,494,190,006,913,276,473,352,508,913,074,628,713,231,287,030,
499,609,152,905,089,591,300,135,859,924,582,866,698,601,769,682,338,377,090,
739,536,488,653,370,882,024,246,210,459,102,160,949,936,730,751,872,081,720,
842,693,892,016,136,987,562,820,456,669,726,763,677,659,945,123,800,783,820,
335,169,394,743,550,336,093,250,173,539,655,787,872,005,982,706,106,848,480,
274,231,223,298,407,349,278,914,060,726,021,844,579,294,164,574,192,316,607,
870,711,205,910,130,117,975,780,501,018,295,717,828,465,461,807,363,579,963,
112,606,253,828,387,930,235,607,275,218,604,056,218,929,482,459,092,326,500,
462,733,115,677,781,509,211,261,595,141,868,434,959,757,800,975,354,035,018,
828,213,256,596,272,783,456,622,365,857,325,579,548,263,173,462,764,166,158,
377,747,700,201,832,200,105,591,206,692,272,435,836,311,321,795,519,289,353,
034,767,506,323,359,021,496,385,904,551,621,875,924,434,283,658,880,589,302,
945,486,974,703,339,215,739,086,359,430,239,527,651,522,814,757,463,218,455,
217,210,986,227,027,354,813,347,459,852,327,745,323,711,863,639,201,117,958,
832,248,983,367,053,757,535,472,710,996,342,093,254,900,849,722,490,877,682,
952,190,103,513,875,668,114,661,348,549,648,985,036,264,377,452,386,508,400,
338,239,360,641,822,570,095,703,586,666,058,654,834,505,327,530,985,758,001,
681,582,338,855,308,424,288,651,893,639,736,459,426,149,271,443,364,299,713,
294,709,128,115,335,264,146,889,474,846,718,380,718,771,334,439,421,156,514,
593,339,610,946,094,974,269,672,455,690,370,445,788,063,948,806,962,721,898,
036,695,298,233,134,149,592,922,123,823,682,124,926,696,868,734,476,237,992,
917,309,573,949,043,022,926,384,023,117,222,521,994,555,391,019,995,413,070,
259,134,428,256,085,076,454,467,603,887,771,006,560,750,059,306,703,322,410,
523,579,629,646,271,989,199,421,233,320,032,574,316,145,525,698,005,970,902,
523,908,558,505,731,135,322,085,315,611,978,496,387,095,449,300,497,332,238,
989,653,627,477,010,527,725,622,325,946,945,006,552,903,617,911,490,251,944,
599,749,088,528,872,009,004,172,037,537,845,060,485,051,989,987,290,893,539,
163,152,954,408,631,376,805,998,092,773,973,930,648,818,617,545,205,079,281,
573,737,790,881,324,678,943,553,507,738,022,987,378,645,945,016,326,408,865,
092,871,994,660,577,006,355,316,559,079,802,574,557,772,974,967,000,258,404,
601,041,148,817,916,718,363,689,214,353,679,031,784,176,330,256,066,513,034,
396,520,491,580,659,578,287,714,652,432,219,179,602,421,471,299,674,245,272,
460,004,671,528,555,822,780,262,352,111,706,807,517,464,830,246,175,732,234,
434,608,100,837,572,502,230,527,219,873,046,523,733,633,249,699,610,102,080,
891,563,733,322,965,903,479,531,326,130,573,053,079,055,081,318,704,133,256,
406,887,359,143,692,535,783,942,340,317,073,899,847,147,430,660,747,299,608,
142,067,931,551,880,525,978,357,307,035,381,334,948,161,720,178,270,439,253,
914,671,886,898,202,087,679,151,567,684,438,426,180,534,629,809,499,102,424,
362,868,950,056,866,311,877,598,357,226,617,300,372,678,426,492,742,721,774,
787,701,610,320,341,363,263,168,048,723,251,498,085,718,721,254,817,700,538,
563,065,804,402,102,513,942,552,916,939,758,041,530,947,428,724,925,966,263,
695,977,276,300,261,882,911,511,669,083,280,851,158,058,160,529,310,100,539,
917,569,410,687,095,729,002,116,688,350,102,120,899,940,966,711,380,382,848,
827,888,856,006,884,025,550,702,377,648,286,106,605,966,699,778,837,526,215,
790,880,621,544,523,061,721,114,028,067,395,558,423,869,354,719,510,207,033,
072,203,253,714,630,217,040,313,689,255,174,971,095,214,713,206,295,528,201,
439,308,827,382,393,867,751,903,368,094,056,089,388,609,260,357,256,992,144,
557,854,757,420,427,554,807,825,995,222,052,372,642,708,702,728,934,110,913,
052,238,598,587,872,212,777,646,068,984,327,795,798,512,103,255,060,100,937,
231,895,066,219,135,490,012,487,843,542,575,694,227,899,332,669,592,274,843,
074,274,082,273,400,168,286,125,185,483,669,399,305,768,453,903,931,271,507,
586,474,777,131,676,313,594,144,210,695,437,282,733,370,560,799,488,469,758,
012,892,775,758,487,277,817,382,084,064,452,510,187,438,480,894,733,002,470,
704,470,472,349,028,886,706,287,918,254,316,046,981,813,636,024,574,016,451,
318,963,473,842,111,803,021,039,804,225,177,392,859,750,633,564,669,530,854,
485,431,265,335,231,764,043,621,458,582,804,425,421,299,427,074,931,108,220,
669,523,523,468,726,418,350,189,084,337,611,859,298,351,748,862,995,217,966,
792,057,234,231,750,171,556,260,563,532,790,977,993,062,715,158,754,265,459,
808,410,063,809,172,692,783,127,237,393,428,066,537,793,427,628,246,301,870,
323,775,212,315,161,253,790,787,407,301,508,680,374,973,897,276,178,375,217,
017,674,882,584,638,562,742,482,821,128,069,228,689,593,440,246,249,806,601,
728,481,798,065,337,790,270,305,994,609,838,229,027,060,693,269,529,362,501,
558,874,894,617,884,526,957,867,546,318,974,431,472,035,763,110,460,741,012,
114,645,605,722,171,228,755,366,922,605,791,483,876,326,984,563,692,428,079,
966,891,384,119,532,066,172,514,623,234,260,876,872,664,317,912,204,501,515,
288,796,141,985,888,170,424,183,936,295,279,540,225,864,785,345,298,293,045,
656,799,897,947,794,347,037,147,554,985,637,851,675,928,158,058,828,104,585,
243,761,108,148,880,035,762,982,358,193,900,600,939,633,107,570,225,860,431,
154,555,732,798,295,846,402,857,553,797,520,690,533,124,677,478,357,290,448,
179,461,288,253,213,595,906,032,402,137,747,318,405,485,980,878,305,959,247,
023,984,188,448,722,314,126,959,373,432,527,477,771,295,201,111,829,770,392,
817,221,172,096,957,509,680,518,585,635,689,549,434,973,077,918,176,846,188,
669,917,394,883,061,634,109,091,846,989,557,167,344,331,649,502,182,282,323,
760,864,095,744,000,727,006,325,585,336,066,731,062,043,887,999,988,041,959,
200,249,417,227,030,138,509,919,777,780,076,812,568,580,054,179,347,618,227,
613,828,792,714,295,792,383,884,590,175,948,833,972,831,991,058,418,730,509,
044,934,587,581,790,708,947,783,626,012,680,709,165,408,588,488,531,728,116,
625,361,742,144,783,643,361,359,371,893,870,525,994,680,605,934,106,638,031,
495,512,895,686,622,756,512,614,743,667,283,864,797,598,785,819,574,692,728,
440,556,689,464,830,851,241,401,774,223,847,044,392,807,840,785,971,791,530,
988,063,541,590,412,996,254,318,079,025,082,503,083,241,016,476,895,992,270,
334,608,961,809,988,966,732,264,583,374,606,199,624,996,661,504,874,356,673,
242,101,417,119,412,077,582,696,780,542,590,275,903,906,371,416,837,327,323,
094,545,420,538,560,757,919,056,808,893,692,656,261,511,643,214,456,451,373,
389,265,202,172,728,424,403,851,890,997,192,537,461,935,447,036,067,159,650,
763,836,671,658,492,618,334,838,912,983,735,549,070,166,945,188,933,645,334,
333,005,127,367,053,176,145,017,990,696,729,694,941,134,079,663,140,912,906,
783,800,860,011,279,048,788,714,517,587,901,290,595,207,478,388,556,655,707,
609,224,097,609,165,125,639,460,079,385,653,145,478,107,826,685,080,721,641,
900,502,456,576,177,029,507,538,339,127,609,424,760,864,043,538,376,310,771,
285,460,039,885,022,762,517,732,142,077,238,830,585,906,433,667,174,288,170,
644,323,858,798,992,765,540,750,295,063,684,441,342,532,790,647,879,796,257,
178,607,510,598,650,375,393,639,987,860,984,114,489,035,936,579,249,786,140,
958,704,798,041,168,275,881,113,157,751,810,850,893,777,966,552,438,403,947,
024,315,281,774,689,822,129,810,619,275,398,897,805,654,892,999,128,135,574,
565,177,091,563,908,587,395,105,714,902,057,641,901,718,633,573,075,174,253,
798,794,452,837,957,899,514,698,481,304,081,922,283,289,670,729,202,479,192,
814,889,098,858,399,020,269,990,941,606,587,943,199,865,039,122,788,266,711,
364,949,445,675,816,938,123,754,585,309,468,917,915,836,052,673,406,962,539,
103,339,717,630,720,908,992,423,432,945,353,741,996,027,532,735,518,428,097,
067,961,425,713,758,970,521,701,935,758,046,875,075,574,077,000,028,980,628,
744,507,933,453,401,103,190,988,741,800,682,904,413,780,642,056,867,234,059,
657,519,208,522,765,398,933,609,244,837,159,889,873,624,253,190,711,213,773,
531,691,934,712,707,852,550,550,211,116,418,724,285,563,225,226,125,282,387,
903,613,999,202,291,676,673,555,909,032,905,352,817,000,494,120,244,711,125,
584,818,233,482,528,761,278,998,628,342,268,212,825,614,024,379,415,029,809,
724,364,241,386,999,001,779,712,015,434,128,070,528,334,312,204,532,825,746,
407,091,483,361,282,063,391,175,997,743,413,101,869,432,593,184,242,963,516,
277,989,123,107,066,204,955,612,849,967,080,893,450,002,235,038,547,946,429,
956,655,460,886,325,883,004,682,744,768,521,968,920,409,063,871,803,086,232,
442,201,558,219,329,206,739,533,618,811,220,155,723,869,762,136,389,543,296,
423,715,245,077,468,174,622,120,735,253,991,746,614,989,765,512,607,702,620,
664,702,256,159,157,611,605,678,108,174,804,534,621,850,353,321,232,885,735,
678,304,097,716,510,005,956,724,072,480,558,913,038,508,158,066,338,724,559,
366,554,457,135,065,301,779,662,649,838,857,174,637,742,665,359,337,913,967,
560,690,367,259,641,183,342,139,892,257,665,460,056,490,080,419,742,694,028,
395,775,056,193,214,061,952,577,797,296,599,380,553,048,360,117,548,280,213,
279,092,905,614,795,919,334,522,212,591,290,603,170,618,422,594,248,920,153,
930,628,318,895,528,206,432,048,495,674,664,226,973,178,617,187,886,867,560,
824,439,309,994,728,595,853,410,003,276,263,045,487,717,451,502,844,496,399,
572,772,104,192,227,267,653,871,528,326,025,308,623,691,719,382,096,973,944,
248,970,965,224,579,263,014,262,886,548,052,536,037,900,991,287,925,362,390,
117,355,455,731,884,409,997,025,889,836,296,169,085,047,516,682,902,024,696,
731,758,745,150,399,358,854,120,057,561,197,948,722,929,218,632,490,020,277,
099,151,729,073,401,242,327,262,740,066,223,554,036,990,927,628,275,256,237,
199,926,678,622,265,244,912,668,922,122,853,716,612,368,574,186,497,549,501,
252,382,774,140,179,908,575,745,395,599,487,211,153,068,667,915,432,371,972,
283,007,706,021,352,303,260,711,727,679,062,429,810,640,432,576,809,467,110,
615,711,820,666,101,888,892,734,269,975,354,698,856,018,240,453,117,862,161,
573,589,254,857,608,868,299,897,345,422,274,912,094,626,229,937,865,331,315,
535,622,638,430,705,631,261,034,091,036,568,700,774,934,057,466,097,945,431,
200,694,687,381,604,542,546,727,352,470,076,470,454,913,977,828,772,214,556,
028,737,268,428,958,408,215,823,917,061,380,468,831,034,172,716,026,636,442,
822,959,078,519,791,140,899,926,742,845,600,216,659,257,147,226,223,112,987,
511,140,597,431,144,725,440,839,967,392,876,121,058,107,542,764,620,560,046,
944,100,642,297,823,992,089,038,636,060,372,034,305,525,013,436,138,357,120,
621,545,650,905,240,837,323,386,318,383,534,318,662,347,523,615,679,462,515,
995,651,455,384,170,519,931,740,612,106,024,444,511,750,221,902,621,424,785,
675,858,887,023,760,130,010,289,334,539,114,749,362,420,795,109,369,502,568,
342,051,840,458,339,077,537,129,550,287,422,904,598,367,598,032,414,857,569,
210,290,726,875,333,648,203,455,450,766,689,959,563,835,032,012,582,663,342,
954,831,814,296,514,488,990,491,280,488,578,602,155,938,673,526,603,891,901,
512,831,530,940,356,367,741,017,379,735,277,474,715,969,847,934,807,334,245,
731,055,044,868,921,300,396,859,733,386,918,346,885,919,155,902,190,123,852,
543,091,559,139,854,011,914,785,057,199,445,751,948,070,007,530,002,514,482,
682,724,592,468,190,985,417,301,073,226,259,287,683,489,756,974,663,412,742,
424,245,320,507,487,937,753,027,084,382,419,387,206,977,455,068,954,930,224,
274,335,589,173,186,352,805,328,858,084,776,573,518,376,463,043,737,529,015,
554,579,474,540,659,014,236,373,658,229,768,447,493,103,027,469,401,360,027,
978,233,616,259,284,625,707,822,713,481,075,835,320,999,893,318,517,974,867,
397,292,326,989,951,424,547,123,810,042,594,458,414,520,848,191,665,570,416,
721,981,491,738,769,978,855,033,806,274,121,018,011,304,304,633,824,070,260,
330,786,115,334,492,165,859,866,139,331,990,680,840,601,011,369,778,079,651,
325,498,319,787,011,581,900,661,866,861,153,198,491,044,029,796,451,086,751,
710,269,097,817,535,535,203,773,607,587,016,272,980,147,512,849,168,290,876,
751,043,781,514,295,390,613,170,067,641,135,930,034,673,341,494,073,036,363,
958,054,324,498,939,684,379,301,932,797,333,521,123,152,832,796,747,349,168,
008,137,565,877,851,696,740,373,015,254,525,321,578,592,985,039,194,753,705,
091,287,925,130,154,605,515,618,839,533,562,324,725,221,937,735,043,914,912,
222,441,061,157,734,815,558,228,164,897,311,848,513,409,793,600,309,194,268,
146,554,995,689,950,160,519,531,281,523,306,509,911,406,346,406,904,578,667,
227,927,123,129,204,048,276,140,904,760,189,484,863,193,895,523,540,518,459,
764,278,254,942,588,701,191,995,621,366,490,381,667,357,611,552,299,435,688,
478,418,557,061,664,753,645,600,492,660,662,471,984,135,405,324,812,798,487,
875,982,054,382,830,930,447,278,586,655,897,055,905,070,258,686,764,181,770,
798,529,334,320,619,729,461,752,175,956,226,532,971,216,134,213,965,028,568,
215,627,311,965,488,649,885,482,707,112,387,348,588,908,326,553,811,762,386,
846,661,210,025,175,919,110,702,482,187,443,212,892,819,385,525,256,540,158,
846,734,881,323,956,301,657,243,032,043,290,779,185,929,690,748,228,456,892,
474,992,953,738,144,979,330,865,281,194,934,370,111,666,334,080,820,876,399,
519,054,397,263,443,837,223,157,293,731,066,805,356,483,019,220,745,740,980,
601,482,689,482,619,303,493,689,072,166,236,737,253,355,321,122,310,921,810,
408,326,578,821,907,707,972,054,897,329,069,684,670,188,541,962,600,548,426,
336,347,471,933,890,514,116,044,213,496,907,753,330,770,186,785,097,278,286,
230,923,871,299,192,106,688,850,286,389,607,397,608,165,183,378,510,081,225,
004,826,252,870,125,183,050,795,626,758,995,516,516,016,819,634,984,789,517,
290,416,089,540,799,611,957,996,802,926,827,540,780,602,007,493,425,888,101,
335,705,203,074,730,153,627,927,521,798,489,187,338,207,889,754,781,520,145,
465,413,414,367,173,589,091,032,463,314,044,188,497,506,670,387,325,015,853,
148,043,750,659,220,874,336,752,066,605,864,838,222,584,608,447,658,711,906,
264,359,121,505,287,241,679,407,249,630,151,323,547,021,354,039,559,317,524,
418,964,390,341,778,974,336,072,036,217,097,344,107,450,412,641,366,338,102,
459,272,348,093,249,047,386,199,984,041,083,496,363,296,939,434,895,237,016,
914,863,894,176,169,296,748,968,800,580,640,465,289,310,310,009,048,912,102,
193,808,223,178,687,581,185,108,744,715,594,980,279,353,400,932,676,019,979,
711,765,466,426,708,771,587,627,182,050,777,040,629,453,276,549,804,170,111,
631,979,669,277,307,820,094,506,612,462,903,107,596,957,719,788,793,649,136,
995,874,728,026,807,647,739,304,778,480,744,779,006,631,745,798,043,977,840,
836,910,180,905,321,236,317,173,911,435,592,143,587,750,585,242,986,545,193,
818,301,630,004,260,789,222,145,992,444,135,167,438,434,332,343,788,841,476,
556,245,168,005,612,739,475,607,879,024,671,398,716,161,438,058,226,424,221,
101,605,814,503,973,978,696,822,838,591,471,015,081,721,485,042,467,374,073,
360,298,355,554,987,520,274,912,518,462,390,247,172,360,426,893,852,850,214,
389,431,922,070,582,707,262,614,658,984,501,589,238,703,951,019,284,665,422,
135,209,692,819,479,841,612,640,292,860,507,994,169,721,943,039,850,586,963,
833,715,342,785,294,257,971,088,253,069,666,376,506,896,710,579,802,562,441,
141,043,344,275,323,486,197,628,016,589,275,249,897,993,454,901,826,116,492,
217,777,722,575,996,288,939,951,312,280,519,435,248,164,544,224,129,692,916,
566,185,027,920,976,415,392,460,023,690,039,126,536,624,410,806,941,107,519,
153,989,408,438,977,466,731,832,083,185,710,049,964,874,947,843,954,153,424,
298,010,878,199,814,229,038,391,665,396,252,340,273,902,433,789,700,782,424,
160,835,833,869,118,725,515,682,193,453,719,835,975,465,833,360,738,655,437,
642,347,074,405,285,265,954,250,620,219,507,632,571,846,937,526,712,333,591,
881,448,770,041,537,422,522,089,695,398,475,195,750,088,003,831,130,899,927,
277,500,273,149,987,229,397,169,228,288,271,583,377,416,082,342,462,506,723,
575,756,092,277,066,428,274,921,360,092,850,036,628,968,592,762,034,240,900,
206,400,321,810,957,559,029,752,569,927,375,404,305,682,329,654,287,977,037,
335,885,935,231,695,599,365,601,828,860,413,440,381,331,293,031,685,894,388,
112,946,433,278,551,729,180,822,087,844,838,508,942,105,636,602,328,109,706,
571,368,133,651,689,435,561,853,448,863,428,652,466,542,477,291,379,630,433,
882,364,103,481,497,407,963,854,781,603,291,259,571,338,994,152,822,117,495,
936,010,028,235,662,244,900,630,568,511,901,615,081,818,079,004,421,997,111,
892,976,042,719,508,426,783,104,267,971,864,946,950,098,589,546,054,231,316,
878,131,389,531,860,455,710,368,045,466,908,790,933,835,243,379,217,782,565,
334,874,139,143,463,167,937,105,819,787,856,491,807,590,180,686,640,905,452,
314,264,768,837,146,880,538,298,855,805,672,935,346,923,956,607,660,740,432,
209,572,742,676,704,555,276,597,699,697,728,088,138,219,154,616,962,074,386,
663,339,194,719,967,687,437,516,963,940,385,698,301,676,576,882,630,012,805,
712,490,816,575,724,762,782,533,419,665,755,680,841,285,588,827,744,173,536,
974,575,472,056,934,340,871,380,453,980,326,966,653,344,843,181,521,712,960,
642,269,012,597,368,499,183,439,244,724,174,655,039,345,517,443,522,458,003,
344,331,461,701,892,968,137,851,066,560,761,406,869,781,628,688,996,314,876,
523,506,444,434,617,740,832,821,691,721,446,432,532,543,197,798,825,382,636,
704,576,185,930,541,125,914,046,851,846,822,215,329,141,228,263,862,577,579,
429,939,669,665,892,984,034,430,592,992,504,085,584,632,727,589,693,789,267,
966,540,762,672,053,467,682,836,625,208,345,178,003,736,644,450,648,563,282,
960,831,668,032,804,967,359,111,899,506,329,349,551,381,777,229,412,950,554,
661,765,590,192,347,943,457,893,189,334,249,963,865,808,522,742,541,987,917,
993,900,415,379,313,880,386,965,855,987,926,937,887,566,101,143,876,504,730,
530,517,819,772,424,153,877,007,545,801,268,663,242,585,958,708,982,807,105,
586,431,217,906,523,752,956,881,744,917,645,959,931,735,029,858,073,976,511,
977,524,790,676,104,445,113,791,020,504,556,177,497,776,132,942,020,789,182,
140,197,849,148,794,346,629,096,875,933,507,422,125,963,335,297,493,085,821,
254,924,918,965,802,784,855,262,174,720,578,685,544,025,354,310,667,609,172,
129,843,241,049,407,996,728,601,282,452,661,127,785,013,888,104,359,158,257,
051,761,910,067,960,315,157,319,021,269,606,236,532,067,040,935,875,051,842,
144,013,905,154,175,994,896,328,492,696,928,417,215,399,791,984,612,323,021,
652,178,661,345,641,664,181,718,600,812,810,779,060,174,437,484,375,459,573,
774,744,653,924,107,086,070,514,178,227,380,899,994,694,244,465,709,330,656,
835,655,367,415,432,587,175,906,985,950,407,508,755,319,808,086,316,026,157,
448,489,152,746,373,428,073,939,725,240,071,038,256,013,486,097,186,799,890,
085,221,683,979,802,265,814,299,820,181,362,477,864,074,250,662,459,782,669,
763,964,210,318,966,022,146,293,354,616,148,648,428,093,481,963,440,836,168,
608,733,311,857,379,767,365,102,117,683,380,847,914,347,201,922,483,769,286,
457,070,206,172,759,463,080,022,662,111,728,875,593,969,410,901,109,845,895,
390,482,557,508,802,583,138,265,687,004,502,239,350,924,127,893,193,538,984,
632,161,971,192,328,055,320,286,530,816,396,167,921,002,866,552,144,264,305,
569,002,547,364,528,205,421,400,789,052,772,355,218,098,386,181,974,527,534,
603,084,985,148,582,186,894,113,632,193,378,071,016,851,739,121,520,632,405,
401,757,390,499,474,842,784,266,749,353,850,486,965,042,907,441,166,023,957,
607,209,773,928,077,707,834,495,803,390,845,110,870,881,474,050,782,377,599,
456,937,763,222,423,996,748,803,780,455,097,525,417,106,961,792,443,516,235,
073,307,448,463,525,318,740,210,666,578,704,054,948,203,960,270,656,284,743,
210,253,454,489,658,356,966,190,117,800,197,066,311,901,896,761,324,760,242,
510,710,851,821,122,827,307,303,428,046,690,035,108,254,376,810,668,263,006,
430,858,079,866,656,862,880,264,448,484,967,205,086,177,605,289,158,348,144,
093,117,220,788,548,569,203,642,607,195,095,722,324,143,327,223,289,802,633,
283,677,865,072,693,067,533,233,375,746,674,123,739,404,844,244,610,594,497,
371,391,396,170,747,646,485,481,036,968,875,268,836,420,704,467,045,998,206,
902,015,865,732,826,483,165,192,820,432,971,059,961,328,913,651,520,659,965,
596,948,856,883,511,695,828,643,706,000,995,067,038,518,104,720,123,889,429,
398,562,449,679,266,384,249,193,776,861,007,790,083,459,169,659,425,497,565,
353,455,053,378,835,806,769,112,016,662,708,461,118,792,802,086,841,798,558,
535,679,415,188,792,597,251,575,473,873,866,318,803,999,290,571,498,646,964,
366,888,430,395,221,968,538,441,243,919,842,242,004,599,052,179,682,725,358,
081,967,717,555,450,515,560,484,844,359,843,654,250,343,044,126,686,791,645,
763,190,227,367,009,258,059,126,317,997,708,531,108,509,939,373,952,193,542,
226,506,249,956,241,533,055,349,968,302,573,957,474,507,444,493,606,918,021,
874,294,864,260,767,265,237,824,345,087,307,820,397,429,922,914,860,163,909,
413,382,535,024,640,136,064,027,440,015,417,497,434,358,965,101,071,452,499,
790,141,769,710,839,986,141,569,918,818,195,690,591,349,153,741,788,890,502,
676,952,339,809,944,065,744,006,080,575,970,438,293,382,068,828,215,500,695,
769,633,963,964,098,491,221,778,209,404,422,505,018,521,164,289,853,488,849,
247,509,482,139,987,367,058,271,156,882,052,548,543,525,084,502,379,699,295,
991,093,563,342,902,891,939,902,822,478,145,414,883,964,266,172,662,800,919,
882,853,360,160,879,236,582,812,562,999,001,983,929,564,805,980,954,347,637,
429,367,267,957,948,415,191,935,787,542,241,901,013,039,448,824,722,111,517,
522,738,729,132,657,802,404,079,646,636,527,424,101,882,196,690,168,858,042,
205,062,328,138,626,078,455,556,168,088,968,839,912,311,463,443,912,787,380,
552,720,768,656,359,926,389,568,646,832,179,784,587,269,383,559,455,743,086,
207,529,118,719,251,167,019,377,080,281,715,944,152,647,440,827,161,143,818,
107,080,060,370,261,937,037,835,928,882,287,304,223,004,290,329,344,443,716,
787,522,235,277,485,231,343,968,884,403,776,393,590,796,134,145,283,441,000,
781,906,583,130,566,060,802,236,302,635,591,190,571,578,043,283,637,245,510,
977,173,699,440,356,340,537,243,606,988,241,576,638,843,189,512,319,761,741,
255,699,243,133,169,111,517,541,124,356,312,064,982,762,649,534,228,781,847,
754,592,059,023,613,589,588,018,207,914,759,205,022,635,304,161,690,117,715,
600,741,471,780,184,574,552,941,231,415,054,099,198,695,182,902,529,260,343,
598,180,151,615,203,595,817,081,040,322,261,318,611,717,959,548,468,294,765,
006,204,951,867,408,349,948,971,453,728,500,264,187,421,764,244,117,564,762,
812,010,689,970,308,486,657,767,971,671,757,504,818,649,674,742,745,469,316,
869,805,256,794,057,623,732,704,268,028,044,881,342,792,203,446,768,186,240,
736,412,916,299,709,481,166,983,827,477,767,564,953,629,567,838,342,101,887,
255,028,977,731,065,557,431,057,755,968,428,666,946,643,464,666,396,102,654,
871,358,832,570,105,514,202,399,141,835,332,009,238,619,750,017,283,207,098,
503,362,419,295,947,639,250,935,301,574,450,585,191,424,663,531,056,776,095,
731,937,398,185,294,498,722,362,474,917,928,010,761,110,208,527,101,318,917,
413,127,211,530,914,813,488,240,662,929,199,843,418,983,505,683,163,122,318,
464,197,031,088,888,297,166,302,552,528,902,915,162,971,607,875,016,444,739,
192,126,116,363,750,036,841,934,071,808,539,018,431,808,693,374,321,312,180,
660,513,199,453,786,574,616,459,730,951,146,007,750,579,188,405,871,961,282,
501,353,509,439,919,694,594,210,641,875,459,522,985,409,214,527,716,319,883,
020,795,537,783,315,730,621,212,766,604,315,940,173,374,176,253,765,257,916,
875,391,651,789,714,203,393,491,993,933,821,352,785,620,876,986,454,440,961,
563,228,785,026,055,853,620,246,886,571,225,972,870,501,426,085,476,540,577,
661,182,378,248,343,913,271,806,479,905,213,578,382,264,895,188,109,956,091,
207,781,704,297,395,511,084,332,274,805,524,084,199,718,228,436,363,859,044,
976,125,009,009,374,022,512,904,546,153,311,337,953,447,705,156,627,593,233,
556,905,356,815,251,518,968,028,992,716,228,405,691,664,276,816,564,115,972,
556,981,750,987,718,469,737,646,988,823,056,145,496,787,787,032,363,974,229,
945,237,533,239,617,378,999,950,522,828,235,665,784,265,583,870,980,971,554,
947,891,371,284,471,382,544,162,632,353,018,140,179,719,379,949,137,888,155,
235,333,765,375,872,974,731,267,264,586,241,093,178,933,006,170,982,560,695,
591,178,010,191,899,866,490,514,578,456,912,651,589,292,691,909,847,615,628,
097,659,814,474,045,903,844,451,577,642,065,314,212,877,542,957,768,566,468,
388,179,433,093,326,316,862,090,361,266,348,688,014,416,288,549,696,792,696,
749,957,940,207,790,530,126,948,476,984,130,222,378,289,653,062,202,047,034,
839,159,855,760,747,647,446,817,052,030,432,055,633,064,334,953,480,091,894,
517,189,578,054,348,954,373,783,711,219,120,500,401,819,509,528,271,016,026,
117,235,973,971,743,745,029,430,471,467,786,574,936,390,870,505,393,253,437,
643,257,830,768,897,418,718,814,135,348,199,094,080,676,601,885,734,154,480,
114,062,650,481,302,852,571,111,739,843,997,465,942,972,146,470,570,483,799,
383,660,636,005,765,374,564,992,242,878,485,416,077,014,398,510,857,782,244,
133,168,729,232,003,916,316,237,826,707,862,117,994,598,811,948,520,396,000,
629,000,754,978,892,930,367,888,553,478,437,465,944,179,773,455,992,602,732,
693,245,229,150,115,780,670,126,380,607,831,622,912,914,604,790,071,556,732,
802,702,829,838,729,391,301,189,205,107,088,923,871,454,799,463,031,391,535,
709,820,451,534,400,534,878,103,061,410,955,922,893,333,092,320,742,789,457,
046,482,108,793,832,154,718,705,789,264,461,974,604,016,306,347,458,292,365,
565,734,305,359,381,763,538,780,155,914,514,240,135,769,993,045,498,298,036,
545,989,904,408,823,228,425,528,414,458,298,608,135,149,492,302,426,161,204,
170,147,736,616,546,683,719,312,082,879,464,590,910,986,724,694,910,965,212,
178,815,339,945,762,711,314,035,887,479,789,292,047,009,236,182,193,739,955,
631,918,118,136,809,788,439,189,800,881,437,075,241,636,869,729,164,929,018,
013,613,582,436,148,513,938,686,336,679,702,768,731,128,981,654,575,519,009,
553,033,677,455,724,317,055,737,390,715,598,224,723,212,518,819,229,228,213,
891,164,911,898,708,738,072,398,452,304,273,543,909,711,990,812,652,822,763,
503,985,784,368,508,584,303,773,692,973,416,132,924,746,528,092,481,075,532,
241,102,913,092,069,263,567,593,402,981,212,645,614,035,968,823,368,782,741,
376,482,472,378,828,671,669,321,278,092,496,885,494,067,593,027,847,050,829,
281,432,546,851,544,089,710,718,332,746,127,173,599,382,244,854,337,433,249,
685,733,810,568,210,810,247,433,180,342,002,917,238,533,798,329,474,907,601,
263,399,703,403,791,118,978,581,120,682,494,785,529,160,363,828,280,794,339,
613,281,957,892,703,244,234,029,650,547,356,563,066,937,851,793,294,034,008,
655,835,268,436,627,415,001,785,076,305,589,123,510,980,937,353,550,451,881,
960,020,938,685,070,408,202,299,291,047,840,754,992,547,218,413,289,062,952,
633,995,044,972,629,466,534,216,287,028,070,048,788,435,477,788,434,474,965,
572,843,536,401,524,331,245,779,774,121,204,436,912,779,814,683,599,427,618,
194,784,338,329,756,948,050,487,800,755,554,632,923,311,244,286,260,753,152,
136,890,819,061,192,545,927,736,880,507,220,251,902,187,693,879,461,810,715,
866,227,674,225,667,084,460,087,021,836,276,422,174,966,724,688,253,317,685,
068,629,077,985,007,616,373,056,112,273,338,532,113,140,886,714,900,891,899,
992,035,320,575,416,023,213,413,559,786,865,630,705,849,278,497,630,413,844,
244,338,699,989,626,534,888,390,297,965,937,536,163,300,894,448,893,266,955,
906,862,214,974,863,925,297,958,432,530,877,100,556,260,361,341,704,650,857,
023,242,713,489,207,221,757,768,012,685,025,216,672,012,547,370,256,390,307,
166,740,937,399,090,984,581,352,703,676,593,337,905,683,727,922,698,488,745,
663,950,183,913,663,046,191,180,191,172,221,460,529,621,433,830,937,222,223,
928,911,265,465,500,031,677,464,273,726,937,712,316,979,533,898,892,444,537,
681,201,384,312,645,522,979,817,313,937,938,363,990,697,957,065,883,983,390,
555,921,607,202,173,688,657,612,613,981,054,987,630,106,649,255,681,997,831,
607,503,746,651,902,829,163,012,787,672,924,706,136,061,954,370,997,371,551,
689,446,230,910,317,787,386,369,254,017,607,975,713,948,255,959,073,432,837,
659,965,805,003,802,513,621,589,735,510,053,815,980,816,944,429,564,081,689,
047,725,086,587,234,611,135,052,184,884,372,184,769,924,793,586,483,930,827,
300,881,717,743,234,071,013,596,635,287,219,972,020,261,419,208,823,843,551,
878,937,076,781,604,264,642,788,543,666,906,094,821,017,123,191,593,645,135,
312,619,162,439,060,534,564,535,266,584,188,087,738,278,873,322,272,370,836,
702,542,515,994,483,033,685,185,599,276,611,951,779,633,083,244,384,461,438,
613,019,935,837,592,813,046,764,378,091,111,336,213,423,406,386,180,945,920,
960,230,785,209,029,280,775,670,384,369,044,685,631,840,199,706,203,368,231,
303,029,001,681,332,303,710,296,659,174,491,942,162,516,257,414,817,504,746,
866,543,072,946,454,988,158,040,273,925,839,976,453,338,971,623,797,863,409,
544,371,828,648,414,274,989,070,425,603,871,817,309,950,262,340,982,968,773,
497,422,478,837,573,247,086,926,460,225,068,426,355,638,845,528,933,962,251,
997,127,177,580,712,497,713,415,023,384,252,029,337,673,054,445,206,605,416,
281,191,402,326,743,424,203,484,650,681,866,101,808,495,757,904,703,217,543,
092,959,891,232,066,979,538,925,055,629,434,520,719,666,421,953,715,682,580,
569,320,517,485,930,675,185,753,191,047,857,815,601,187,377,893,874,751,937,
600,389,862,885,822,179,466,225,994,262,241,140,276,675,094,026,101,883,346,
801,880,038,801,065,518,883,241,031,200,467,106,764,273,531,383,236,175,378,
525,229,264,980,061,530,816,980,146,983,811,626,215,957,311,071,418,855,653,
564,092,178,911,166,124,692,106,460,067,593,752,074,534,286,992,830,044,111,
809,655,050,708,720,774,544,247,276,388,341,469,463,119,653,407,520,107,847,
125,291,444,775,075,634,734,969,411,635,548,481,972,273,468,371,332,603,713,
668,880,447,663,485,692,603,043,742,078,781,884,421,469,344,565,009,055,981,
511,607,694,112,739,011,011,544,092,967,314,168,324,168,510,303,425,775,878,
178,928,015,935,620,209,779,696,296,635,990,997,407,228,602,904,227,480,071,
225,060,037,913,006,857,105,580,325,596,451,539,174,918,112,538,245,459,298,
110,972,049,445,549,598,068,132,635,153,236,188,699,597,912,564,265,318,496,
754,764,410,050,769,076,757,326,230,687,874,775,188,530,351,035,135,973,978,
793,855,840,197,340,981,656,347,049,764,513,012,221,563,943,926,270,955,772,
513,376,230,994,844,260,562,873,007,050,228,648,298,025,092,082,062,025,243,
132,188,986,229,597,491,734,688,701,705,906,801,489,907,411,770,294,279,879,
734,203,974,724,628,194,104,822,339,577,915,325,606,314,385,065,641,327,102,
439,361,575,188,540,729,013,761,864,873,065,072,619,208,045,525,796,512,724,
310,191,760,072,929,759,923,290,583,268,515,552,144,820,932,312,171,284,174,
007,533,188,930,135,422,588,473,579,824,113,288,773,709,986,264,735,099,747,
646,100,552,331,456,655,448,390,209,480,280,055,345,777,744,992,472,339,518,
729,574,268,807,181,347,801,592,590,688,655,320,023,257,824,165,762,268,289,
052,928,726,867,008,224,454,280,181,423,099,120,166,545,486,706,919,244,350,
963,671,761,546,085,386,698,984,801,979,514,107,863,923,181,215,697,882,624,
800,111,435,321,477,785,238,900,317,712,321,598,720,999,061,094,867,902,459,
913,759,242,527,922,184,699,963,764,354,152,377,795,591,335,354,297,770,854,
372,118,995,384,084,223,265,849,582,526,822,635,598,975,744,321,417,306,130,
077,472,826,620,006,627,598,509,291,451,649,755,724,563,668,160,439,271,771,
774,680,782,792,228,971,415,132,946,720,330,560,058,768,443,548,622,824,279,
015,248,530,854,255,836,448,900,223,715,253,838,044,339,399,381,994,897,715,
663,440,727,753,160,949,763,465,398,521,297,433,984,219,197,367,869,379,971,
314,028,134,967,355,672,329,564,231,898,959,072,203,728,187,789,823,097,840,
375,802,902,520,846,257,579,464,645,521,212,896,067,580,196,331,875,981,538,
701,562,817,840,222,363,790,757,462,184,898,828,860,282,633,277,748,916,452,
617,798,625,402,598,233,956,813,031,782,477,020,251,671,118,370,287,905,531,
321,673,065,791,141,688,177,054,696,809,113,699,257,723,621,286,826,238,786,
879,958,756,563,127,426,801,968,887,268,496,389,173,564,017,596,231,490,882,
647,785,022,620,002,109,041,892,453,050,840,346,675,246,088,038,346,734,080,
003,132,660,179,889,963,635,992,893,004,277,012,333,434,373,752,145,102,122,
034,095,269,887,911,711,973,392,189,160,540,333,361,323,531,004,186,174,364,
507,910,041,231,128,942,491,444,805,858,820,347,047,907,263,094,671,137,478,
840,964,231,567,815,122,758,159,797,590,752,322,152,080,537,478,181,784,487,
736,807,119,497,941,312,719,256,099,905,762,101,643,513,683,688,825,982,108,
645,914,406,631,641,131,424,506,023,244,817,469,122,173,114,496,184,803,933,
059,385,087,672,814,736,531,358,070,813,284,514,964,226,013,060,664,762,951,
767,983,482,888,986,853,934,775,922,482,818,979,376,236,040,926,044,333,019,
652,573,338,093,471,486,026,052,068,600,524,843,615,033,525,263,819,523,827,
452,022,774,915,697,612,842,387,745,732,143,506,097,357,601,522,656,091,423,
691,177,090,151,491,526,997,006,466,508,958,885,591,770,723,741,778,058,560,
501,823,220,902,911,347,806,871,856,756,930,865,280,640,455,099,079,862,899,
632,430,185,989,552,856,277,092,445,412,584,688,365,072,675,521,025,768,963,
451,554,460,587,518,327,905,619,840,087,237,761,323,830,633,223,518,446,567,
244,793,118,507,799,558,844,020,131,558,806,869,929,134,549,699,512,046,683,
206,509,252,295,360,984,076,394,140,375,059,767,880,725,467,764,064,860,155,
281,305,441,582,696,759,122,773,948,354,239,226,039,863,847,703,922,271,662,
705,276,862,200,700,547,757,491,029,092,734,088,033,944,496,531,032,161,477,
784,897,873,993,655,951,495,800,469,433,140,785,810,894,339,739,525,714,160,
734,033,410,395,478,026,710,767,663,557,211,939,905,029,478,196,630,399,804,
594,143,925,957,440,330,333,246,213,251,778,154,227,956,428,263,217,930,020,
201,293,800,519,713,399,337,935,455,575,354,483,039,187,354,449,058,690,012,
742,051,595,179,986,730,200,652,119,832,790,458,254,780,548,040,479,073,047,
983,141,564,412,346,368,355,162,682,388,891,449,330,175,073,184,211,189,638,
791,117,415,769,164,692,648,477,138,574,970,663,218,567,003,006,538,588,878,
279,574,231,036,882,215,358,589,246,134,602,725,639,434,392,548,604,775,949,
625,331,855,803,869,013,402,240,441,670,247,382,472,838,117,820,951,280,979,
892,746,669,204,445,107,074,527,843,064,340,603,441,848,607,720,637,815,030,
077,012,023,367,075,198,852,811,246,794,879,560,824,813,676,377,627,402,756,
822,432,703,572,326,586,534,857,671,861,977,793,427,522,218,402,800,851,287,
975,896,817,575,382,866,681,360,331,186,145,784,082,018,458,544,413,736,522,
927,979,846,526,527,719,498,649,009,389,726,160,172,964,657,994,550,440,644,
616,485,774,742,342,097,371,907,529,967,194,531,831,804,060,301,084,064,892,
749,126,336,860,625,738,400,531,846,658,473,614,839,712,024,196,389,449,408,
459,824,677,689,720,366,552,512,257,328,187,679,486,315,064,535,441,833,514,
211,460,167,608,933,409,405,752,753,461,697,930,919,330,594,983,860,583,370,
072,380,691,589,023,854,960,355,536,926,606,972,725,302,804,471,137,853,528,
150,602,894,601,555,334,811,529,687,234,109,552,679,727,138,216,194,774,465,
268,321,918,666,900,167,841,475,176,351,628,814,197,755,114,777,277,569,167,
170,655,661,469,223,696,919,719,558,929,526,878,064,957,362,408,671,710,151,
952,417,748,688,251,464,496,756,123,406,352,516,308,305,557,385,244,880,489,
903,232,270,481,813,484,461,736,233,922,686,085,785,581,782,739,318,496,008,
641,840,899,570,036,759,740,974,989,016,996,204,740,791,981,811,125,427,823,
179,409,969,372,848,760,741,606,874,530,350,560,201,715,959,364,875,619,142,
799,837,038,062,581,976,924,765,717,180,514,356,237,353,953,948,085,631,833,
676,935,816,666,324,698,876,718,508,344,764,028,238,918,102,705,622,389,448,
920,756,891,641,075,912,591,012,414,316,115,385,455,844,576,698,391,085,611,
490,822,873,219,205,770,909,954,129,480,557,628,464,286,775,430,820,378,423,
096,847,667,369,891,248,194,006,700,693,793,769,908,180,400,383,592,041,858,
348,057,294,888,523,623,461,335,951,061,348,640,161,958,746,020,993,492,952,
935,577,332,086,120,662,898,663,880,658,870,280,585,230,459,203,114,041,533,
113,347,390,421,493,138,335,788,492,599,157,310,226,076,747,951,947,009,778,
506,455,704,188,010,825,514,737,949,826,988,975,217,107,736,673,023,660,097,
876,093,803,068,516,276,487,337,538,122,621,715,622,538,894,126,290,910,931,
457,803,917,266,347,152,026,012,447,656,054,625,308,963,952,007,698,235,910,
935,170,332,843,735,196,061,361,584,810,651,902,100,937,529,661,843,795,333,
336,719,793,052,947,618,886,081,309,398,570,479,502,589,643,616,993,842,274,
933,338,371,992,673,218,405,922,363,542,834,260,167,912,008,245,758,799,522,
839,002,123,747,958,710,126,600,029,872,233,188,688,665,042,699,320,863,070,
714,346,744,841,868,828,995,023,602,166,855,274,704,199,082,540,807,650,138,
997,700,678,180,122,728,572,491,088,423,012,550,059,097,679,352,662,451,125,
958,856,562,806,010,233,340,585,561,717,900,126,112,448,934,326,683,380,887,
391,134,127,923,073,441,383,439,630,206,782,611,659,063,290,685,819,144,712,
434,423,647,174,271,004,206,560,876,030,285,456,315,429,408,341,051,474,292,
147,723,278,208,308,780,495,657,628,941,909,345,087,409,238,657,698,723,905,
302,600,640,084,036,107,151,951,141,506,513,395,007,076,564,322,598,799,652,
785,025,009,225,066,553,665,482,294,464,950,134,497,882,014,244,631,882,550,
309,826,286,573,692,128,959,097,161,106,786,973,410,719,303,696,140,966,878,
554,869,864,626,012,754,407,916,332,016,625,034,464,600,483,069,960,767,743,
228,833,133,703,702,675,344,497,850,789,440,388,610,745,728,347,233,435,953,
913,369,848,215,349,179,285,619,135,116,872,951,987,666,217,693,062,808,042,
885,496,285,280,630,635,056,064,998,331,002,529,696,301,919,070,913,821,300,
791,241,908,592,215,961,758,657,904,807,759,719,504,619,035,431,156,544,637,
638,057,871,912,711,239,302,501,966,366,411,855,382,954,309,044,685,932,529,
117,002,526,007,740,140,292,593,013,059,399,763,589,381,019,177,632,132,213,
835,521,127,041,991,999,707,864,805,850,902,307,461,337,464,680,393,134,759,
554,286,805,275,380,011,324,290,592,658,657,511,295,546,833,015,500,162,901,
648,759,727,323,340,418,237,003,485,586,054,781,905,780,028,424,842,293,444,
400,360,496,888,099,408,661,094,725,818,559,853,365,343,691,043,766,109,207,
097,303,585,539,402,605,478,476,394,833,463,476,766,896,392,403,249,957,654,
313,447,082,349,353,919,829,550,544,630,282,410,060,163,624,208,543,820,490,
384,824,964,500,007,590,323,921,480,526,009,574,940,231,034,191,918,319,891,
287,987,987,530,798,684,548,085,324,105,860,384,330,798,444,377,120,107,073,
949,986,363,767,687,571,671,687,861,493,413,534,208,905,126,765,223,018,779,
889,842,746,838,550,432,752,692,915,428,829,117,864,444,464,457,263,961,701,
196,260,612,094,034,615,616,227,991,091,914,671,216,081,022,617,046,662,225,
262,764,540,918,020,111,056,196,877,871,944,336,155,023,509,502,332,165,662,
859,435,789,187,746,157,680,906,607,352,475,687,314,962,343,005,582,570,396,
271,899,172,160,566,042,897,727,613,850,995,029,528,066,325,898,538,025,304,
281,430,402,363,614,970,858,934,607,332,109,644,468,667,782,321,378,338,730,
964,045,018,795,604,091,632,469,282,120,728,762,876,593,370,060,708,852,716,
945,377,511,357,229,354,358,801,269,280,524,295,475,478,531,333,405,794,573,
006,361,328,276,793,101,187,293,085,843,095,666,343,579,933,036,924,749,285,
787,759,467,678,194,964,100,062,162,111,173,584,022,348,136,500,999,768,109,
938,274,731,230,541,083,722,262,895,189,145,123,571,652,574,031,445,053,077,
407,582,887,348,055,648,591,070,788,605,579,290,479,066,059,935,045,057,002,
305,356,635,638,916,751,250,549,640,702,591,506,078,538,401,371,390,369,971,
693,951,866,114,837,581,716,716,336,508,803,723,829,104,863,690,454,692,250,
865,270,719,060,993,253,532,449,027,285,144,075,726,379,523,774,601,767,824,
977,399,506,925,413,555,692,920,583,432,333,260,211,080,972,990,405,012,035,
275,950,510,294,634,650,413,112,312,334,346,169,267,405,452,710,533,573,348,
178,768,689,262,772,975,288,184,602,396,234,256,740,141,380,502,638,130,492,
704,052,121,142,162,660,249,540,103,743,763,669,875,293,552,287,672,316,072,
529,366,595,791,753,417,473,031,090,036,980,376,888,282,002,251,446,866,685,
163,401,543,403,773,607,362,309,554,906,774,059,202,707,624,749,167,098,897,
973,617,496,979,204,472,912,041,549,470,677,919,030,670,919,676,241,312,214,
128,921,009,524,002,672,492,151,427,027,761,508,432,008,689,967,741,555,799,
118,967,295,300,862,546,083,447,320,601,488,260,355,620,817,329,782,328,781,
124,654,340,340,228,422,843,876,316,387,572,034,421,906,136,445,967,413,526,
026,775,148,368,182,528,381,895,361,281,327,892,591,650,256,238,869,677,439,
330,073,474,498,312,499,174,940,855,749,742,849,989,425,440,389,701,414,633,
241,777,453,893,871,693,952,475,450,885,668,865,648,267,693,816,572,553,042,
250,984,724,042,960,549,463,466,654,107,053,964,320,740,923,302,957,095,511,
482,755,898,003,532,977,893,546,636,994,539,539,599,267,539,704,296,974,603,
837,277,658,833,182,375,720,880,800,255,892,048,259,265,614,515,618,477,767,
541,662,427,308,219,034,038,596,314,208,005,007,502,346,257,505,282,576,572,
566,830,045,411,739,595,086,745,217,248,282,346,480,802,265,358,161,644,199,
615,683,366,152,398,709,538,647,910,114,840,690,448,528,347,247,528,516,052,
419,768,032,853,028,879,027,745,558,089,588,698,754,501,842,550,765,910,046,
485,594,781,189,640,509,442,484,135,251,552,843,859,258,398,231,155,264,733,
869,757,271,329,977,691,631,517,705,930,534,265,326,733,583,044,140,770,566,
033,752,742,525,110,956,428,986,232,665,975,947,749,043,149,188,743,474,117,
108,523,637,267,284,844,650,018,530,502,494,825,341,128,395,028,879,878,077,
091,438,159,780,247,842,315,282,310,981,111,260,443,015,880,118,484,900,911,
060,389,451,734,568,770,081,990,337,025,201,716,401,532,937,526,842,855,883,
285,175,094,140,878,230,270,977,563,216,250,919,718,609,891,556,810,723,905,
527,021,904,325,062,583,381,994,367,952,509,429,316,259,535,698,301,106,511,
462,883,504,151,819,259,508,011,799,944,274,911,828,395,953,326,202,445,968,
757,799,649,698,621,478,674,827,032,757,293,362,839,580,971,796,591,321,705,
828,746,942,019,414,434,056,142,856,326,487,666,817,319,589,450,462,474,194,
980,782,133,606,487,473,829,653,445,030,839,978,134,131,688,438,114,159,787,
916,716,362,576,874,507,646,892,775,092,179,236,244,573,681,218,065,423,682,
147,922,758,579,933,695,638,591,313,680,438,257,148,700,370,755,182,696,436,
590,673,161,324,003,743,984,390,994,547,052,972,141,514,323,724,905,569,761,
303,270,917,003,023,706,142,793,419,885,905,662,510,576,927,387,918,517,473,
883,287,183,019,063,124,346,231,217,109,475,316,888,051,886,252,159,375,736,
363,843,223,453,099,283,130,073,016,224,928,641,875,195,931,948,436,995,363,
779,748,531,276,509,617,899,966,646,943,408,208,555,404,031,073,279,302,511,
381,256,911,152,293,717,293,485,833,265,173,535,883,166,873,810,779,925,088,
163,618,382,743,788,020,292,350,441,930,762,486,597,828,557,567,081,947,499,
763,357,810,956,206,279,062,675,327,494,363,894,936,394,359,421,729,016,022,
682,679,771,005,135,835,660,211,218,772,613,255,756,211,101,769,121,626,291,
183,663,618,948,051,068,139,345,880,487,224,976,858,753,017,186,220,039,162,
052,651,681,689,645,665,094,718,233,616,823,677,505,761,406,944,538,455,108,
386,717,156,803,219,349,022,747,033,023,600,108,039,029,965,751,227,508,520,
217,474,324,446,892,363,181,001,904,005,011,788,802,801,247,457,068,892,809,
960,052,437,525,427,615,997,371,644,805,587,274,816,642,942,643,152,976,680,
202,176,614,294,940,520,151,174,929,804,216,648,254,455,234,141,922,150,298,
308,602,671,027,146,007,169,167,058,477,627,938,215,826,230,187,402,773,449,
596,935,298,217,600,052,530,715,730,178,737,421,220,028,533,769,949,353,415,
937,609,740,207,941,331,336,696,696,905,809,429,877,668,394,097,543,091,570,
181,996,075,046,609,549,198,192,570,669,935,053,398,865,349,951,084,649,825,
403,769,822,630,187,875,284,477,811,747,281,298,917,704,022,826,724,094,875,
307,922,490,078,432,601,397,611,164,656,845,121,503,315,257,253,636,864,975,
001,016,082,718,458,942,038,712,273,368,615,037,525,767,638,951,704,781,170,
039,512,461,209,789,102,565,592,930,576,019,689,792,841,075,932,166,746,683,
863,876,553,820,265,836,975,107,065,444,328,028,775,256,414,571,948,423,492,
189,097,487,530,543,210,351,168,773,936,451,480,604,413,656,233,292,997,930,
968,393,617,722,341,908,188,466,331,556,689,074,079,635,207,417,054,609,468,
723,979,589,781,046,984,638,818,574,863,766,947,845,419,522,988,450,667,719,
885,101,858,246,773,397,228,902,828,162,681,533,010,957,518,167,167,409,160,
837,356,327,045,998,012,961,621,185,012,168,425,270,773,493,383,033,795,898,
837,047,265,724,082,307,376,719,573,243,232,729,832,880,062,312,586,498,209,
854,582,858,338,313,761,491,839,868,142,942,855,730,422,452,369,625,943,368,
488,304,470,636,648,245,560,213,108,413,470,215,500,562,961,509,453,088,948,
338,302,340,799,258,867,028,553,562,807,389,592,234,869,937,293,346,016,841,
717,689,425,791,622,909,959,733,235,795,647,716,972,553,120,176,006,746,271,
784,455,531,190,296,568,702,123,186,266,338,901,090,090,453,006,066,732,403,
429,484,008,560,322,067,205,655,307,289,963,604,793,701,904,007,738,391,365,
419,811,129,285,502,850,403,540,462,330,873,010,349,834,455,954,475,680,569,
935,545,422,985,771,739,641,405,807,400,566,053,787,809,808,644,315,244,378,
101,472,842,980,331,577,656,507,990,954,419,109,899,075,047,891,722,071,165,
700,525,308,027,815,718,503,352,862,722,630,145,961,826,949,860,800,439,181,
236,487,882,884,226,227,092,471,228,908,053,383,733,117,410,707,085,334,855,
247,236,888,706,172,899,678,244,209,324,989,356,869,320,566,883,706,168,399,
417,154,232,586,935,014,149,886,349,453,018,515,471,962,110,919,915,507,434,
432,821,034,955,308,194,308,211,335,713,788,942,729,384,011,836,429,494,077,
608,749,680,391,376,887,155,067,931,678,792,481,246,977,205,999,372,564,305,
177,439,073,929,302,532,039,652,991,531,395,202,683,327,450,044,456,481,524,
401,502,574,461,636,721,445,069,178,463,846,460,512,891,914,279,602,851,882,
456,205,010,621,472,400,357,230,147,778,336,298,947,636,488,978,297,557,745,
678,572,648,392,302,453,287,672,339,427,936,700,480,139,228,218,383,326,179,
993,131,307,555,372,307,670,452,019,832,942,100,889,307,871,642,344,261,510,
501,415,445,669,404,126,987,381,951,902,954,962,129,219,802,304,680,753,358,
500,592,474,841,796,214,555,904,848,050,771,580,812,174,963,512,845,045,022,
605,002,004,265,568,720,084,409,303,947,944,796,280,024,714,564,552,701,575,
159,421,908,439,380,786,835,617,936,990,423,615,201,384,923,341,495,598,386,
252,384,539,021,164,939,687,737,156,968,087,017,911,723,493,964,214,177,957,
251,242,069,499,908,901,872,577,347,791,361,750,738,470,405,848,527,122,497,
799,650,123,713,730,209,515,866,107,513,713,635,803,974,271,774,924,105,143,
436,726,179,653,907,660,466,859,868,340,447,592,715,330,798,207,474,337,339,
621,236,704,863,399,322,810,038,511,598,530,110,999,778,247,305,591,978,460,
704,093,978,917,456,572,378,336,504,676,949,347,435,271,431,329,761,986,772,
674,819,142,410,981,515,910,178,474,812,596,469,620,846,554,054,240,314,927,
598,732,520,541,535,652,106,103,134,981,852,702,278,346,798,155,247,115,573,
677,598,623,445,492,883,282,254,277,424,755,884,819,778,682,774,309,376,257,
641,563,318,082,596,022,996,333,244,064,534,057,008,225,518,300,772,662,897,
019,133,632,480,099,579,627,846,767,238,149,869,477,500,707,608,886,396,870,
761,692,509,743,121,528,795,776,262,367,215,107,753,276,494,843,308,872,034,
140,087,035,112,794,679,677,679,731,406,617,160,442,553,472,027,737,576,203,
826,058,823,773,412,175,834,751,627,923,537,119,687,875,322,788,219,439,528,
248,350,607,804,756,609,973,603,921,901,106,460,719,949,677,890,914,911,256,
163,108,322,332,300,031,408,112,422,044,982,559,428,009,820,468,940,890,706,
402,667,386,489,553,149,103,034,960,283,672,189,867,726,607,796,803,108,860,
995,448,374,970,768,288,043,018,015,120,798,929,144,897,123,541,307,305,266,
861,664,802,857,721,148,883,887,110,777,335,155,303,591,379,848,404,290,279,
745,364,052,043,904,671,064,920,644,111,268,472,733,354,804,655,766,160,027,
156,049,969,574,951,863,451,686,204,514,629,719,872,797,778,329,547,982,221,
886,768,542,657,040,621,689,170,501,466,003,964,692,862,155,476,047,764,278,
126,585,629,957,507,659,406,992,784,249,518,701,909,863,987,998,621,999,487,
796,815,682,529,704,572,862,429,795,171,374,880,927,873,482,424,058,965,529,
593,214,013,094,972,792,920,729,771,327,086,838,096,316,693,208,679,828,503,
686,167,232,645,952,033,591,839,115,330,504,164,171,192,501,927,323,602,590,
885,576,840,051,717,118,013,407,331,243,322,223,916,956,292,258,094,332,582,
752,604,484,690,750,417,174,975,489,993,122,454,455,513,039,152,187,322,819,
371,425,063,021,988,153,403,231,963,870,957,284,740,549,382,806,881,496,827,
559,388,729,346,650,260,479,045,488,138,236,504,261,930,749,982,232,082,379,
436,112,582,992,568,599,436,166,994,877,350,572,484,042,346,745,603,723,130,
828,214,226,279,873,293,748,286,628,402,767,701,724,553,308,833,273,050,964,
968,440,635,890,854,010,692,067,330,014,657,542,127,198,312,877,001,921,847,
205,595,242,686,309,045,674,539,692,617,686,407,041,777,241,820,778,923,899,
141,329,987,781,374,584,458,255,233,496,269,961,577,042,534,841,099,910,377,
928,208,631,349,885,022,042,275,651,151,111,961,885,686,329,877,284,010,358,
681,834,291,194,915,159,011,174,269,247,816,992,324,566,572,826,756,398,566,
305,671,197,213,735,885,455,769,571,078,554,155,934,227,014,678,176,838,352,
173,947,152,586,065,664,175,892,882,744,694,834,540,458,803,723,181,394,481,
435,512,339,747,900,691,176,264,195,250,714,226,862,292,061,455,034,744,246,
928,004,995,450,578,479,936,767,561,075,555,306,346,254,975,812,756,299,981,
653,431,030,506,319,358,374,041,954,164,514,373,694,424,323,157,477,829,681,
469,942,505,188,560,637,604,530,727,647,567,747,439,713,612,886,743,327,853,
120,895,337,938,918,355,780,804,550,578,843,441,887,266,368,308,078,018,279,
450,183,854,111,286,503,114,397,405,721,596,949,792,190,998,544,795,852,163,
484,877,725,110,197,944,573,783,700,751,779,873,710,835,637,237,589,968,397,
974,389,879,944,283,975,011,791,651,160,874,398,059,013,820,932,764,864,001,
033,202,295,081,252,347,950,813,879,086,911,349,889,094,139,542,966,396,722,
100,839,071,851,157,295,318,990,543,495,147,250,610,724,032,108,274,210,732,
541,488,071,787,503,740,421,314,222,811,151,167,320,798,697,877,577,414,903,
628,100,521,819,618,719,461,353,629,283,310,509,183,380,690,647,575,137,669,
897,219,185,646,766,893,486,457,552,811,645,101,164,590,855,867,452,561,018,
025,955,606,587,318,990,270,810,768,790,335,497,992,348,907,945,846,119,153,
943,948,620,296,740,534,602,625,216,042,711,344,934,087,470,305,610,910,452,
469,172,855,169,795,838,848,108,611,517,932,153,293,326,333,028,530,756,721,
765,943,607,701,613,217,919,251,833,659,578,538,040,576,416,676,879,610,086,
453,005,762,272,456,628,045,921,363,945,501,214,104,905,705,870,293,202,050,
997,164,674,540,694,935,857,475,161,145,342,590,698,073,902,067,054,213,104,
021,095,010,109,146,164,805,697,307,172,701,065,349,106,562,163,684,654,597,
386,405,419,480,837,470,978,131,291,657,209,845,529,562,790,123,046,715,037,
645,033,932,861,366,049,344,102,214,340,908,653,466,866,266,429,867,021,406,
530,024,704,326,193,574,549,265,246,292,330,324,871,707,985,028,494,161,247,
485,135,117,170,696,805,206,784,317,311,649,669,115,314,242,719,031,233,649,
824,235,848,417,653,545,097,133,358,996,279,543,883,202,225,798,389,244,863,
905,748,485,678,241,806,856,344,216,327,742,476,022,080,786,879,189,825,401,
172,757,210,533,687,818,687,131,582,684,338,520,856,758,005,753,497,541,506,
600,050,399,104,031,178,712,855,936,716,257,272,569,572,358,524,704,804,629,
761,101,215,345,016,924,018,302,092,454,725,905,194,959,979,196,018,513,074,
234,298,965,169,779,505,322,004,365,096,572,794,690,561,409,866,402,267,451,
422,909,770,407,925,769,646,761,509,785,610,189,908,050,634,434,568,991,676,
000,319,749,335,985,615,038,152,491,070,537,362,774,343,598,809,423,847,786,
040,932,557,556,107,242,257,371,948,059,928,627,051,310,286,198,920,159,105,
874,342,475,102,275,965,286,366,965,743,299,504,902,120,079,292,378,138,576,
810,038,799,056,846,042,494,811,899,398,302,380,950,817,114,841,971,031,140,
368,629,946,648,423,242,993,119,719,434,936,779,538,537,526,454,297,477,205,
785,192,046,066,472,015,695,771,459,448,082,551,686,849,205,822,062,610,067,
976,097,341,255,165,069,190,655,821,308,375,132,822,975,939,587,233,542,685,
533,963,766,555,727,765,023,458,394,701,831,892,661,559,604,961,654,859,677,
858,946,843,058,466,854,123,570,719,527,270,949,075,152,006,302,093,879,269,
643,724,027,388,967,803,114,674,855,045,523,534,661,108,388,137,754,325,764,
155,672,515,999,979,895,582,527,294,790,845,009,671,156,189,719,959,081,423,
126,889,525,739,606,627,406,241,745,312,195,695,086,128,145,790,812,335,484,
078,114,496,314,227,009,429,930,851,761,089,850,027,571,106,151,963,471,933,
261,117,509,793,346,338,031,639,565,864,856,486,172,210,942,820,815,460,216,
529,927,774,208,161,019,375,307,797,582,858,925,843,833,146,959,436,316,612,
594,663,446,211,762,899,187,418,200,448,818,639,643,963,061,138,961,565,560,
323,656,853,696,669,911,981,532,390,878,262,993,740,093,858,765,730,073,408,
167,166,235,984,193,647,572,668,118,390,783,167,587,902,893,008,397,060,634,
000,830,021,001,859,582,513,027,644,310,746,112,850,420,885,890,284,378,575,
767,237,273,935,540,657,537,847,982,831,574,224,726,840,497,420,463,760,896,
774,507,597,690,148,819,093,593,810,604,057,509,256,456,302,840,731,659,675,
061,716,487,399,026,619,771,906,445,403,108,947,692,509,623,833,757,139,112,
728,544,213,588,560,421,208,007,029,140,170,202,236,158,118,619,765,469,003,
910,696,569,009,007,184,760,891,010,697,401,676,145,382,857,721,560,571,672,
160,040,285,417,469,865,366,103,893,567,095,413,280,589,830,558,432,667,513,
600,179,920,748,189,293,520,054,631,892,347,288,906,741,818,852,846,336,121,
855,275,623,121,634,158,742,797,039,706,837,223,101,957,494,569,840,987,698,
266,918,417,035,005,965,153,498,814,820,498,392,518,267,771,222,107,703,080,
791,531,373,568,485,322,206,589,972,724,920,372,083,029,536,762,554,327,512,
155,041,970,829,762,738,642,916,317,021,722,991,040,181,005,951,910,168,681,
081,496,171,294,218,890,077,546,359,001,869,349,004,007,457,177,431,686,059,
731,345,681,670,955,294,389,075,822,793,630,355,939,970,366,943,360,617,266,
062,301,017,135,843,453,620,540,269,836,813,196,854,948,255,972,593,475,197,
051,469,791,600,580,233,462,424,095,867,395,880,385,078,721,830,565,874,664,
276,154,495,236,242,279,840,698,528,949,964,943,117,911,508,089,122,685,050,
147,457,006,473,564,139,474,076,972,800,001,815,520,655,672,109,402,365,502,
703,609,684,762,105,791,712,224,423,339,418,646,644,609,717,652,903,096,075,
085,045,061,403,950,032,135,247,625,198,519,806,623,148,573,581,238,400,178,
165,630,577,114,707,527,483,977,081,784,712,136,702,617,474,947,164,827,773,
633,583,747,910,365,921,985,547,135,823,577,433,121,588,896,312,709,321,797,
587,128,720,662,694,393,094,471,059,241,392,919,996,561,929,823,388,361,407,
561,943,803,885,565,158,790,175,727,991,762,000,674,141,798,836,473,578,529,
051,129,934,926,550,123,437,010,241,178,836,467,903,303,237,880,735,234,936,
941,321,656,741,110,194,041,265,665,933,151,991,641,245,982,208,801,543,002,
955,705,540,958,673,651,731,617,974,636,951,064,582,457,662,897,847,549,292,
789,364,148,063,076,733,870,597,552,465,680,886,939,074,101,676,522,253,482,
267,539,220,001,233,072,453,807,615,938,989,136,878,188,925,149,017,273,758,
214,513,580,325,772,868,928,572,869,268,926,009,132,901,464,092,458,549,830,
559,548,475,580,476,508,276,562,771,998,039,873,883,436,782,837,492,114,809,
455,770,554,844,818,350,305,687,892,058,573,086,547,261,547,444,762,542,895,
385,836,917,136,406,191,038,868,876,844,933,867,684,296,227,053,514,740,224,
671,757,975,455,367,360,553,259,641,542,655,527,620,579,840,310,339,409,575,
862,913,114,242,869,897,222,591,577,710,689,352,604,919,653,312,868,103,520,
848,616,329,449,322,076,665,549,716,047,376,245,909,254,976,105,393,894,973,
184,345,432,733,676,003,656,543,489,813,533,807,120,667,357,385,520,559,047,
498,989,511,664,262,306,338,532,005,768,866,010,245,929,556,833,447,327,224,
174,144,461,840,660,020,064,935,375,556,987,526,239,243,885,394,643,794,718,
984,385,210,622,543,776,844,667,552,872,485,943,549,344,809,711,914,761,375,
759,444,335,036,685,056,569,725,464,598,188,578,874,292,560,410,247,420,617,
502,732,301,337,190,286,216,543,509,629,423,326,040,851,253,326,664,437,126,
653,965,196,687,928,205,606,897,169,021,895,110,453,308,027,573,876,006,594,
041,351,374,044,856,067,258,117,207,755,587,637,775,105,020,458,029,940,318,
037,527,795,638,146,851,360,127,058,726,166,437,223,607,635,734,910,027,645,
626,759,579,981,675,476,634,045,031,713,951,057,358,915,339,318,777,478,593,
334,307,502,202,955,695,632,226,323,330,245,668,781,041,741,070,446,541,965,
458,839,181,539,808,360,230,586,545,114,298,670,338,461,292,885,028,763,624,
634,337,469,358,906,163,219,349,293,630,306,174,177,745,661,888,883,452,698,
033,284,255,414,942,196,891,224,640,604,194,587,497,940,585,913,915,912,428,
507,177,612,967,423,468,367,829,503,004,922,404,597,467,599,915,596,740,385,
179,584,811,116,069,059,891,583,347,178,761,565,943,343,300,546,359,549,612,
834,554,389,271,281,304,038,833,129,671,794,762,518,815,094,151,723,954,643,
907,453,515,495,143,496,382,758,397,257,551,348,638,873,202,414,023,849,780,
197,602,064,531,654,166,807,673,163,411,305,389,936,550,221,440,739,145,573,
094,824,387,316,249,508,442,115,263,896,725,562,017,170,150,930,049,834,174,
396,816,270,669,809,749,797,231,564,264,557,722,958,281,450,427,758,487,145,
889,322,427,000,915,868,959,122,022,618,185,512,228,228,409,314,639,268,767,
091,095,474,315,764,779,332,589,407,451,182,358,617,341,742,716,853,716,352,
757,134,840,896,532,837,191,047,440,385,999,712,825,438,977,693,450,034,979,
866,801,572,429,315,136,199,146,197,455,070,434,712,646,071,751,235,586,466,
351,717,725,010,810,624,390,597,958,457,224,920,793,418,266,864,200,763,993,
233,016,599,629,865,804,200,680,770,901,778,723,213,943,721,827,003,129,400,
823,194,365,245,487,056,987,448,277,624,221,481,254,686,024,432,683,269,248,
721,936,256,171,624,330,654,667,949,505,463,084,700,565,705,874,545,622,351,
319,600,934,354,996,050,120,710,932,329,559,740,165,816,378,982,497,496,733,
331,232,891,689,199,267,367,026,638,625,046,046,965,596,443,181,116,282,604,
993,041,390,777,404,563,730,962,231,159,723,268,465,855,858,042,527,394,603,
142,564,605,009,513,408,827,293,484,951,579,663,996,785,386,491,442,496,706,
167,451,975,208,683,458,968,218,815,170,144,631,312,075,602,451,616,420,907,
970,313,869,679,582,380,065,613,085,311,601,963,322,302,530,893,851,442,462,
868,166,490,755,975,959,081,711,818,669,209,451,703,735,159,185,506,679,215,
633,978,076,300,150,114,138,116,388,761,735,477,924,650,754,761,341,437,421,
193,640,521,171,030,685,673,352,411,426,879,382,549,748,941,730,373,651,506,
106,166,862,044,895,221,186,631,645,642,026,413,336,967,609,801,754,173,106,
183,493,813,586,122,791,256,533,371,172,766,295,674,682,612,553,465,632,652,
551,399,982,331,784,194,248,440,360,785,975,314,339,654,067,063,813,733,709,
127,996,304,264,650,889,111,291,323,309,674,122,026,397,270,575,009,243,602,
505,885,462,860,182,622,077,983,741,079,455,396,415,898,810,751,572,799,005,
424,717,913,402,086,455,778,897,934,804,667,977,312,357,378,172,360,659,992,
890,496,156,411,144,181,358,963,200,437,648,656,157,525,666,680,208,427,779,
269,066,493,400,106,172,987,120,120,308,568,290,014,070,160,529,443,658,963,
203,177,448,247,350,698,797,028,822,817,175,551,491,575,220,859,762,799,300,
525,505,695,542,390,043,560,327,965,802,139,569,421,052,420,841,574,898,966,
429,351,450,906,166,281,889,470,597,341,692,371,396,996,895,601,965,345,593,
261,616,903,125,961,723,278,728,470,669,283,038,349,563,291,725,769,707,325,
206,018,118,092,981,906,602,455,592,530,725,625,274,584,031,760,676,219,236,
715,704,304,655,431,244,570,375,819,113,270,692,897,130,075,324,776,012,273,
519,246,487,808,115,731,078,847,685,248,797,267,036,448,197,599,496,307,120,
937,364,746,802,238,431,210,607,863,723,888,367,856,582,527,421,045,339,682,
104,458,954,631,363,599,016,462,094,561,419,375,879,303,856,317,369,666,425,
155,332,525,476,229,489,839,579,637,682,889,104,947,549,917,601,453,111,147,
790,566,135,115,012,080,944,313,054,236,803,855,937,302,753,880,874,156,634,
688,065,144,196,947,484,647,211,816,643,442,032,278,062,069,650,228,616,763,
736,770,618,002,183,084,710,217,658,282,337,572,361,617,645,398,935,244,893,
905,938,150,085,301,220,355,284,337,259,672,352,728,240,741,491,921,707,632,
363,316,717,403,632,575,115,601,648,405,353,126,048,847,828,811,531,058,547,
673,158,043,608,290,155,037,740,166,501,309,473,217,884,038,858,726,153,276,
070,116,176,010,236,550,036,794,492,973,277,187,645,121,061,985,363,225,780,
440,262,722,415,455,707,360,172,782,050,025,954,864,228,112,927,783,479,321,
822,764,409,594,189,097,820,736,686,082,935,529,155,019,581,418,233,767,731,
220,456,602,998,659,260,895,145,816,544,152,660,200,744,071,219,670,061,765,
343,534,285,716,008,213,116,129,899,245,539,944,934,230,408,928,946,197,306,
545,337,123,282,672,558,318,702,242,790,380,188,637,974,526,509,449,811,921,
766,787,797,382,485,817,963,341,525,431,932,812,845,956,838,191,340,300,344,
446,194,954,900,841,677,257,508,388,057,549,506,972,845,452,417,891,153,442,
512,322,669,468,833,819,304,989,213,941,768,238,845,906,582,210,969,038,279,
553,953,759,817,508,722,901,359,241,090,867,351,949,485,924,229,142,543,508,
518,989,081,466,149,114,276,277,340,197,546,082,532,375,312,348,096,570,734,
992,817,514,994,319,435,688,788,571,147,105,596,652,719,187,692,061,556,428,
145,359,162,337,213,522,264,447,582,563,457,010,079,572,451,675,692,839,129,
450,828,623,573,036,834,386,135,780,272,022,670,643,210,785,389,113,668,218,
379,285,058,739,324,969,192,919,479,310,696,484,984,555,010,949,007,527,911,
565,711,431,120,708,861,449,670,031,625,428,167,789,419,844,736,770,018,366,
780,436,212,819,170,070,966,178,020,628,534,122,321,701,754,062,267,737,509,
695,564,574,983,695,059,270,658,992,759,437,371,569,044,810,086,993,602,220,
875,617,691,562,953,802,048,891,359,062,135,500,698,865,488,536,062,646,487,
666,309,033,323,236,272,288,348,879,460,386,577,322,656,938,072,698,182,100,
188,100,097,592,709,979,557,415,913,992,636,516,908,306,786,040,366,883,684,
505,181,545,001,737,050,808,966,001,861,628,162,077,598,198,014,355,710,065,
618,706,122,492,613,793,393,133,326,526,685,133,352,167,290,880,636,550,454,
265,577,697,090,669,909,667,648,150,769,460,927,129,049,819,568,679,418,985,
093,762,378,037,075,567,108,218,226,609,156,234,527,095,031,298,097,010,083,
746,598,263,664,510,175,085,762,444,981,435,014,141,539,014,354,834,611,388,
851,310,389,260,359,829,609,355,391,555,474,873,732,829,645,177,992,530,874,
566,889,513,292,034,319,851,984,068,532,969,541,693,480,409,140,938,487,005,
525,666,922,352,501,872,724,494,910,466,647,833,110,128,457,782,726,015,888,
119,760,757,284,260,242,654,443,825,705,617,573,947,550,794,633,876,169,091,
394,073,211,565,959,446,118,885,145,915,755,154,903,121,588,482,510,241,547,
059,580,562,235,691,642,196,223,663,239,557,214,849,287,432,860,664,758,815,
009,322,540,977,003,915,577,541,875,960,970,794,396,136,124,020,414,510,807,
678,728,557,765,612,225,516,440,923,113,349,069,021,889,291,993,967,544,153,
073,005,483,403,399,083,399,493,023,308,832,532,031,357,848,291,896,548,628,
869,542,299,894,717,225,505,009,322,838,513,032,730,602,861,048,346,015,783,
248,268,816,213,686,693,999,128,586,099,801,805,137,347,091,277,847,724,672,
553,504,016,624,863,777,206,517,899,425,786,517,200,946,771,090,084,883,046,
414,710,473,425,003,224,347,340,533,642,965,978,128,137,311,722,393,191,099,
623,979,329,347,152,358,225,148,962,359,773,919,339,648,689,428,587,627,095,
130,313,479,305,328,647,539,321,831,953,720,490,770,362,355,611,517,839,784,
878,319,638,001,046,286,816,566,071,221,676,003,998,069,808,533,120,088,965,
481,290,506,987,408,328,373,598,141,422,380,789,960,119,974,543,194,550,526,
496,141,547,776,497,850,682,828,245,746,714,400,116,707,333,703,354,550,989,
496,906,662,543,867,006,724,670,910,855,509,033,606,666,940,238,246,265,222,
346,524,413,959,245,615,164,906,996,560,093,924,242,538,406,580,152,329,583,
881,854,770,217,917,535,479,785,754,699,226,841,195,141,826,572,873,139,719,
267,674,427,731,478,002,355,722,056,025,799,109,833,185,548,166,810,972,702,
255,315,621,872,849,571,403,602,748,475,341,487,567,198,412,823,545,950,305,
248,103,359,039,089,547,755,989,708,030,488,381,081,634,742,151,456,781,840,
760,962,438,165,336,664,020,676,749,910,576,869,885,641,018,912,343,022,234,
340,503,233,408,164,938,165,331,999,770,981,780,177,755,722,328,622,871,103,
425,503,242,338,476,320,104,347,341,268,315,529,006,704,173,273,934,008,443,
051,652,704,971,615,637,907,054,486,807,905,201,963,172,689,346,126,835,412,
974,171,671,884,126,419,285,738,945,006,199,525,183,451,552,221,186,137,621,
829,608,118,190,525,534,551,929,169,693,723,305,483,035,156,934,914,797,488,
433,934,959,713,037,392,736,815,881,923,934,026,171,269,227,989,388,219,579,
365,189,902,655,758,132,369,036,509,786,120,266,001,460,935,407,160,032,602,
290,184,531,571,002,239,342,940,455,043,446,049,957,147,000,730,569,738,658,
491,058,822,726,061,243,830,600,614,128,383,660,322,265,065,546,133,398,262,
674,072,529,916,508,690,548,009,267,172,614,085,773,839,100,900,714,546,398,
364,348,600,036,475,241,762,703,049,005,257,668,597,906,925,868,756,654,946,
152,200,575,626,060,566,585,207,586,522,469,313,159,311,826,893,693,736,112,
774,851,352,159,027,359,841,454,100,671,470,275,900,514,111,844,731,039,200,
231,463,411,197,576,479,556,528,587,664,309,794,229,630,052,421,706,410,088,
066,850,076,910,502,472,533,165,480,769,061,677,786,333,817,866,406,468,126,
014,054,192,973,425,943,046,870,043,493,098,637,880,348,277,565,203,372,739,
969,030,455,541,918,462,522,289,933,909,028,586,898,354,662,209,497,542,990,
511,407,763,314,642,621,263,345,177,298,287,779,848,013,973,972,183,509,631,
801,306,831,460,538,183,470,176,134,232,459,911,808,150,641,213,865,835,190,
959,518,722,533,558,312,263,002,598,337,264,915,326,828,557,135,479,937,648,
509,465,326,674,702,460,000,883,461,910,170,224,760,462,779,371,100,226,571,
682,028,483,031,645,148,444,773,461,971,626,675,816,760,028,745,276,112,964,
428,229,560,829,261,988,719,485,741,433,397,848,396,259,054,254,826,405,798,
843,009,372,249,872,480,862,339,804,980,724,255,747,050,127,662,691,622,059,
715,845,992,062,262,312,265,691,717,973,565,657,744,409,507,614,220,344,522,
267,642,054,363,841,721,088,944,432,214,582,949,039,408,809,976,309,713,628,
163,276,287,716,622,877,175,091,306,284,344,303,365,225,634,407,059,121,483,
796,440,562,611,479,014,370,096,411,931,955,504,392,079,689,915,449,356,406,
789,292,061,083,695,080,572,964,535,945,935,067,441,106,953,156,348,438,818,
345,789,850,364,128,119,427,869,409,781,252,713,928,544,803,111,933,074,992,
117,161,930,213,807,016,842,627,705,705,595,391,682,459,373,721,993,092,587,
247,248,722,608,159,708,116,437,083,071,796,631,865,627,681,348,498,056,523,
527,419,194,374,256,805,762,748,157,314,912,462,038,607,682,835,797,039,842,
079,496,748,827,296,525,044,138,618,297,169,189,423,308,767,268,817,876,325,
827,454,975,201,878,076,250,640,618,197,659,416,941,664,962,559,215,795,934,
482,395,064,360,322,790,411,883,337,021,147,140,631,154,173,391,783,334,183,
984,737,422,175,147,709,454,526,447,739,768,943,587,997,085,457,782,710,850,
297,043,143,452,582,410,878,243,338,071,147,240,788,827,017,556,482,265,944,
580,345,232,059,140,600,398,793,098,487,232,103,536,549,830,539,002,153,073,
404,172,322,243,684,810,912,743,242,249,402,758,063,111,394,259,339,999,088,
388,680,077,394,070,894,763,600,161,600,121,338,762,024,149,377,777,253,768,
230,592,315,654,738,927,504,744,052,995,707,160,788,045,020,694,453,378,138,
276,572,360,313,657,695,764,882,836,728,635,857,048,071,790,098,868,475,291,
468,284,756,744,763,978,562,400,541,796,260,173,429,988,693,655,364,678,457,
102,654,248,719,082,584,440,694,051,266,342,750,084,980,166,300,327,793,676,
128,216,786,595,317,609,681,354,839,076,569,060,815,898,549,270,455,929,260,
653,324,300,314,969,193,625,181,719,575,168,705,779,381,955,986,758,585,106,
483,327,894,632,629,655,274,047,790,430,636,714,364,757,704,155,653,117,051,
340,659,466,605,325,051,854,276,731,473,331,960,433,266,363,490,841,419,482,
656,938,647,731,218,968,925,129,882,100,179,096,010,242,490,539,374,484,884,
178,247,829,346,605,193,631,414,593,507,970,360,575,864,717,076,597,194,459,
585,551,690,718,659,081,193,196,973,961,293,930,368,451,377,035,132,233,905,
828,531,505,930,101,545,553,148,895,413,554,913,482,443,117,426,011,209,962,
914,208,855,171,693,495,905,416,504,409,667,342,238,260,835,355,973,104,264,
616,910,598,058,535,129,064,016,693,552,356,655,115,606,252,485,797,698,841,
134,008,625,724,319,566,258,453,753,963,401,542,456,497,741,847,415,005,054,
290,257,169,364,931,914,733,690,857,977,171,144,197,549,185,863,171,814,523,
360,060,720,786,285,986,956,481,370,391,029,752,808,495,534,346,200,899,795,
464,535,460,348,463,611,998,290,349,214,503,325,187,329,931,308,070,856,936,
898,884,745,471,947,067,656,879,648,336,922,555,107,191,147,278,606,485,152,
211,437,756,275,492,437,462,138,123,175,912,296,266,911,394,217,588,495,436,
979,295,514,886,992,569,323,803,294,398,979,053,880,535,799,824,046,398,888,
873,706,921,068,333,177,647,112,563,325,452,621,835,103,425,362,957,388,728,
094,353,413,439,410,383,715,783,460,358,861,814,625,914,010,702,161,459,483,
895,384,312,079,753,382,734,122,823,044,348,067,255,094,132,860,289,603,970,
768,600,843,586,789,768,863,270,585,710,150,327,412,131,961,573,539,662,337,
671,281,238,958,082,626,892,766,222,778,901,232,354,973,914,260,216,725,076,
300,433,389,052,543,995,425,228,138,463,755,823,920,991,234,749,950,284,895,
936,706,303,557,916,611,005,948,730,104,783,435,924,856,459,686,058,319,147,
537,400,310,673,687,639,204,402,072,290,071,315,217,728,544,349,720,649,661,
237,766,153,609,925,194,934,783,733,480,708,651,943,055,611,841,093,016,726,
461,268,464,021,467,170,744,751,080,733,145,004,850,813,056,823,722,144,081,
655,732,585,901,016,863,658,198,240,167,202,558,678,745,225,689,116,213,049,
853,849,804,748,271,046,657,237,501,059,711,304,005,509,365,404,046,511,160,
172,463,951,051,012,382,755,881,685,349,469,899,384,920,650,476,950,811,617,
323,919,528,438,368,848,858,273,394,370,134,079,720,420,872,669,032,611,071,
757,138,899,620,291,127,113,492,128,234,164,524,339,060,788,102,202,985,573,
458,341,970,414,623,806,972,664,611,487,733,101,831,768,597,421,885,934,638,
110,795,779,391,787,134,083,335,928,388,044,674,402,941,079,472,036,878,471,
290,085,293,391,840,462,044,168,385,128,933,636,519,381,017,186,090,888,897,
309,547,293,103,279,425,068,537,443,551,607,354,165,218,547,803,111,333,299,
229,095,538,180,670,117,492,275,919,950,252,833,076,070,082,569,259,335,820,
635,892,120,531,370,583,886,562,874,585,203,563,180,183,649,142,806,071,345,
909,310,980,552,772,760,388,134,107,749,457,037,347,088,186,878,806,893,431,
656,540,918,367,928,050,034,542,908,076,349,235,575,281,829,325,378,108,830,
855,356,025,836,477,717,735,737,775,374,577,432,804,047,807,717,973,029,741,
455,175,531,223,329,289,395,165,089,661,251,329,035,907,341,484,244,394,702,
784,299,515,727,685,476,029,513,635,802,021,622,739,929,987,951,092,769,513,
191,949,575,019,702,969,477,773,054,196,605,387,459,732,664,611,666,660,880,
470,667,153,179,127,943,219,068,596,671,048,059,116,217,680,804,198,860,524,
610,903,929,801,515,880,686,914,871,029,820,515,137,061,806,561,672,334,849,
886,502,118,591,126,418,962,975,998,446,072,820,424,948,116,468,144,497,315,
912,600,854,388,378,138,974,151,822,599,906,047,758,483,008,666,960,966,869,
694,777,911,445,612,936,430,699,539,701,775,001,763,661,608,785,862,559,069,
612,826,444,592,957,424,046,065,075,021,766,311,220,148,443,909,025,229,409,
196,254,992,614,931,313,103,032,489,482,037,159,476,768,865,145,951,153,330,
407,753,805,329,639,752,630,571,141,098,948,039,089,600,524,815,234,592,742,
240,410,383,066,369,554,192,102,019,711,103,865,254,657,059,382,888,736,232,
082,049,484,294,324,485,791,317,379,492,019,120,476,661,512,306,363,517,860,
160,627,346,152,013,175,813,618,083,914,573,415,765,678,630,120,155,398,587,
165,239,469,209,457,155,984,394,485,323,306,603,235,629,428,535,440,917,252,
310,338,114,247,588,462,892,349,192,766,813,315,456,522,554,800,346,773,935,
089,819,599,417,568,721,930,639,082,006,838,779,558,878,879,625,134,882,601,
257,510,840,471,300,975,002,389,197,846,806,843,158,559,258,716,110,698,279,
531,232,836,803,981,411,106,396,946,591,159,306,869,049,594,657,648,542,470,
974,330,195,979,664,001,455,463,779,162,695,602,967,624,840,766,959,559,922,
034,943,888,382,674,069,449,607,256,205,432,704,510,506,398,787,732,796,718,
027,472,555,600,692,962,993,581,513,010,413,509,524,979,156,141,951,470,053,
249,123,391,011,342,344,736,409,223,672,003,208,794,706,867,375,610,651,166,
724,331,847,389,598,112,406,861,768,558,316,287,858,482,901,386,997,720,956,
392,764,239,249,979,539,798,343,833,769,758,236,583,191,891,838,950,364,799,
280,804,595,189,232,525,842,885,207,204,032,520,826,837,202,357,184,822,125,
581,432,973,017,786,214,152,387,957,944,915,421,111,379,111,916,474,166,301,
551,260,234,562,553,194,346,537,089,887,094,913,884,992,377,875,256,861,754,
294,565,536,826,866,206,018,614,148,384,357,518,428,233,880,624,903,249,907,
963,971,981,689,889,151,866,746,888,055,474,627,064,194,710,739,516,731,051,
623,609,506,592,201,622,347,572,635,948,790,512,680,420,306,386,853,831,921,
254,224,267,896,764,162,489,704,223,745,792,962,614,552,287,233,618,834,100,
373,169,355,840,373,687,025,299,346,135,184,451,028,999,866,577,605,162,190,
055,938,081,449,646,025,237,866,576,906,894,504,523,444,239,059,684,275,684,
712,801,820,178,360,495,076,756,618,926,028,833,660,253,925,469,626,009,954,
808,710,204,600,089,511,608,686,801,499,844,723,553,609,229,566,152,700,146,
778,444,641,490,004,490,848,651,157,337,438,002,091,702,796,277,629,869,314,
901,379,334,170,722,495,885,826,401,503,481,089,049,676,686,448,149,783,351,
637,672,989,130,353,196,501,178,107,077,541,215,199,059,266,890,092,438,184,
676,853,922,265,503,799,137,501,727,844,175,910,180,808,854,251,882,674,149,
018,354,020,827,423,883,929,208,098,600,574,185,234,539,701,134,911,123,749,
374,349,648,616,833,411,035,540,569,094,364,402,050,953,173,924,942,880,638,
439,447,637,286,682,227,172,713,531,520,156,405,157,728,561,766,657,850,471,
176,136,775,243,258,348,015,319,907,333,328,665,310,914,560,053,489,727,803,
231,970,375,697,705,083,586,821,423,725,927,316,986,561,460,804,768,124,467,
564,442,153,474,717,635,990,128,851,038,881,147,386,357,369,090,226,138,471,
647,265,370,074,231,085,041,525,783,354,001,794,017,640,630,238,589,714,947,
130,907,250,678,298,282,724,694,284,440,489,141,317,008,485,372,110,194,880,
898,627,699,336,985,222,678,170,938,860,312,605,051,852,437,631,038,840,270,
617,027,220,555,455,979,289,309,577,804,662,520,034,199,216,260,850,516,338,
946,628,999,879,452,709,055,394,072,174,026,453,153,294,159,237,548,038,292,
069,695,266,079,889,314,196,069,091,027,639,445,123,614,408,310,382,304,878,
618,603,657,232,818,073,180,532,854,487,113,002,730,723,056,590,974,163,167,
035,329,102,924,454,593,180,479,840,800,560,443,534,703,516,384,019,706,299,
756,520,001,208,955,420,261,820,846,082,145,703,063,571,517,830,782,659,175,
383,559,750,729,923,033,047,802,160,955,271,908,303,435,579,844,003,094,646,
955,839,752,115,893,125,863,215,693,339,521,228,844,594,462,607,942,204,224,
758,846,419,443,345,054,655,997,649,931,507,145,342,712,772,318,152,794,926,
573,150,050,754,820,932,581,195,045,401,271,553,617,027,527,494,949,361,199,
405,955,149,982,484,563,235,799,874,192,474,946,098,972,986,253,461,490,131,
158,619,520,344,388,595,700,230,581,846,316,983,380,933,580,721,041,333,047,
136,419,173,674,358,929,936,408,626,498,272,910,314,771,033,333,203,003,904,
575,860,217,724,907,286,833,425,884,607,435,808,089,278,725,956,687,229,818,
693,448,757,232,439,060,263,610,927,977,801,801,128,682,280,694,263,003,715,
979,846,980,882,021,083,749,403,130,413,457,530,940,514,308,921,660,454,743,
651,226,500,975,552,933,509,225,348,165,839,758,819,924,164,253,974,433,144,
983,776,907,549,425,077,831,541,053,021,250,254,114,652,374,272,152,957,286,
480,051,941,653,856,409,439,015,434,497,549,971,058,663,919,020,513,427,203,
227,791,611,260,926,940,250,282,590,683,400,199,221,640,780,287,766,717,888,
994,118,343,914,962,584,447,577,425,690,125,260,404,177,484,747,004,717,991,
750,304,426,798,789,566,277,200,777,258,440,650,005,347,996,942,875,038,479,
974,546,587,488,635,180,021,496,882,568,582,708,601,985,196,471,017,328,708,
134,315,021,254,402,039,363,391,505,190,760,137,168,331,626,266,530,937,433,
602,093,661,576,978,274,085,125,275,134,624,384,690,019,792,110,148,278,515,
224,586,582,252,889,923,875,136,333,599,636,818,017,913,055,458,926,267,686,
034,371,789,021,414,385,469,255,852,049,816,959,438,969,063,128,854,947,832,
319,897,979,637,021,764,294,430,568,869,680,676,183,930,731,171,430,283,651,
740,876,537,563,496,615,272,294,963,748,839,606,211,271,698,303,708,284,222,
896,911,142,749,710,296,908,444,584,776,925,210,888,045,478,949,636,044,949,
393,814,549,303,595,603,158,237,916,902,985,483,210,852,131,554,042,723,847,
625,747,562,755,172,153,328,876,512,541,605,378,814,302,178,630,328,283,123,
319,624,914,974,136,465,461,492,768,730,251,145,397,914,516,462,364,162,396,
690,691,982,710,907,122,386,487,833,180,248,575,175,332,307,514,131,610,789,
069,421,638,016,473,393,824,349,970,732,431,231,314,246,218,528,271,824,120,
273,723,951,644,370,910,527,010,452,886,136,861,876,277,498,658,601,037,617,
181,016,093,132,001,740,005,535,084,470,689,809,491,655,533,823,373,687,496,
137,633,588,015,890,635,995,268,054,194,869,901,057,230,653,576,565,813,537,
876,235,347,402,187,929,513,205,904,345,514,385,408,791,332,947,539,719,604,
870,990,478,978,069,382,224,559,542,066,348,843,814,126,468,600,031,028,356,
004,107,373,443,949,454,500,542,785,580,634,275,119,974,011,297,664,558,255,
238,262,514,183,623,402,367,417,983,846,457,949,941,876,402,701,276,122,273,
951,167,789,811,037,992,840,405,679,201,999,191,113,413,290,406,698,395,847,
215,441,029,875,062,029,857,458,095,066,625,566,758,116,988,026,855,246,321,
915,438,662,236,541,084,232,580,491,611,642,132,361,662,133,779,046,054,316,
715,618,309,473,295,706,781,099,281,936,564,250,335,369,892,576,089,656,111,
094,865,609,948,165,258,384,345,538,701,150,082,505,346,024,869,494,983,496,
457,982,186,798,933,848,475,764,020,243,720,636,368,027,269,747,957,252,741,
932,016,423,486,015,444,584,813,765,152,376,131,906,771,430,520,529,878,911,
335,915,594,993,826,309,890,143,159,593,562,070,652,576,264,420,432,574,133,
977,510,830,248,269,509,514,059,658,391,156,786,005,538,033,490,630,641,442,
563,177,708,683,520,637,376,792,942,304,636,227,025,378,688,884,918,472,475,
123,498,042,968,198,259,267,135,913,587,502,009,519,517,304,253,790,190,428,
282,714,115,693,548,612,701,303,542,099,282,209,139,062,915,542,776,067,363,
695,893,977,446,456,360,769,889,345,332,996,476,750,149,506,201,295,982,224,
975,508,152,059,658,607,511,460,981,513,169,107,194,653,834,268,778,170,057,
989,759,606,653,279,992,884,851,122,407,614,145,995,340,113,071,162,463,098,
254,571,657,639,218,530,939,366,730,890,374,438,633,733,008,898,208,776,489,
609,932,917,539,733,397,783,584,160,174,625,182,416,037,206,748,122,492,736,
193,103,755,342,636,800,658,213,917,013,795,541,926,088,977,394,376,331,774,
645,279,370,182,575,898,107,898,273,261,551,274,978,801,718,825,676,454,729,
883,318,955,259,339,662,688,263,840,083,664,181,381,071,280,882,695,101,886,
685,362,225,089,097,805,817,439,686,702,508,297,057,802,247,809,322,879,001,
256,430,588,843,251,275,795,518,028,083,063,969,013,214,118,723,121,723,331,
027,385,014,421,417,440,304,901,508,645,908,171,054,155,755,906,470,320,938,
134,201,093,612,723,367,735,947,298,904,702,783,525,966,058,920,563,145,507,
355,800,205,259,611,917,293,228,616,701,918,201,694,732,338,183,530,077,955,
683,811,187,021,587,555,530,567,033,708,316,357,092,573,428,412,657,755,696,
119,472,589,700,849,919,025,597,661,243,458,645,890,504,782,517,902,197,911,
230,387,338,203,742,206,246,688,059,107,783,624,737,822,739,970,194,281,795,
130,708,688,671,264,788,185,759,658,234,601,385,430,846,606,279,397,393,584,
364,140,473,459,915,858,653,049,270,763,438,087,412,774,349,315,245,058,707,
663,947,658,579,993,480,512,281,512,849,046,084,565,730,695,122,017,783,256,
374,684,058,631,561,778,283,119,540,186,088,281,632,615,672,802,220,771,945,
434,513,167,848,311,266,610,389,772,621,466,914,937,146,154,129,597,483,413,
532,250,090,745,058,309,329,258,582,142,678,332,040,197,751,725,412,788,313,
210,156,552,239,763,534,937,684,722,945,578,127,816,300,214,541,969,555,554,
262,868,082,289,937,682,843,340,899,570,529,782,628,690,878,128,659,749,904,
150,661,633,792,008,742,064,010,515,819,849,286,869,811,549,577,899,312,047,
404,010,517,490,431,632,779,154,635,524,040,336,276,414,391,310,504,278,963,
537,196,093,076,740,943,439,691,579,179,249,896,175,208,274,817,986,232,669,
793,631,172,145,848,670,716,887,800,599,008,364,179,137,186,500,547,875,877,
116,034,719,920,554,861,069,259,105,339,381,767,135,295,486,012,537,429,318,
933,965,957,808,042,155,878,416,738,010,486,129,206,218,355,098,485,992,321,
614,035,058,363,084,434,384,703,898,191,200,667,679,341,522,092,113,537,250,
692,869,793,760,306,572,903,523,531,398,838,823,202,708,032,125,111,477,114,
951,015,158,547,874,936,418,475,508,865,837,800,039,839,290,927,110,043,695,
241,485,164,010,320,806,557,085,229,534,082,416,420,613,195,286,702,316,765,
266,016,918,785,881,910,559,879,338,561,042,870,597,596,309,316,014,712,554,
811,888,828,712,637,988,243,369,246,600,478,497,599,767,560,565,309,312,738,
966,766,267,043,281,345,854,148,548,559,000,176,986,147,181,502,350,646,612,
080,499,580,263,430,765,884,526,075,437,750,479,774,466,748,164,303,034,999,
876,377,119,611,890,172,444,981,725,403,481,156,052,581,990,652,387,145,731,
677,937,644,430,776,268,254,681,661,176,033,933,256,265,393,228,721,575,361,
007,680,506,390,482,752,136,947,313,592,668,070,106,074,507,265,921,780,622,
458,585,148,526,056,127,984,445,766,576,435,150,276,898,292,783,424,745,824,
482,133,307,630,542,280,181,019,791,745,721,768,114,792,412,699,621,656,193,
305,883,274,053,094,037,331,052,377,408,425,839,429,386,559,297,300,635,533,
860,444,320,453,982,851,597,621,115,230,036,118,322,057,455,155,879,788,080,
645,768,446,618,975,560,815,472,416,195,088,825,960,606,711,439,782,954,015,
825,159,276,755,509,242,788,128,141,869,040,917,416,972,612,929,077,870,234,
226,090,691,416,955,741,168,828,385,760,445,282,475,883,740,820,734,322,901,
832,721,289,620,499,811,948,510,473,076,440,145,190,660,140,094,921,740,466,
275,846,622,411,458,765,021,810,058,465,178,546,405,443,696,730,065,988,796,
931,168,617,442,750,921,096,353,913,721,450,262,056,799,602,921,299,304,274,
459,827,979,748,899,162,133,293,511,877,216,309,981,040,126,396,941,530,608,
740,076,820,257,216,150,043,684,203,131,914,702,722,970,990,431,127,789,147,
550,246,734,629,384,201,624,807,781,578,018,432,057,430,544,794,867,540,459,
082,288,320,793,984,370,085,574,691,651,061,705,968,801,296,880,205,295,382,
564,346,227,817,614,239,622,758,307,554,943,259,632,747,979,709,513,082,921,
691,924,697,966,876,108,371,146,452,366,095,186,632,830,637,955,543,713,370,
145,162,653,468,962,664,753,823,985,812,463,270,610,306,236,834,397,392,172,
631,615,124,356,783,134,879,301,383,062,671,260,664,527,046,133,921,967,513,
184,209,950,008,075,514,964,069,592,079,938,107,225,165,249,900,492,547,121,
052,491,329,638,609,801,078,275,668,323,010,703,781,679,312,267,169,252,875,
246,876,043,061,843,283,860,534,546,152,792,297,613,553,299,090,485,774,727,
961,493,136,108,303,563,584,262,751,948,252,505,838,170,019,880,357,905,513,
467,103,107,957,328,103,829,979,038,478,305,816,760,692,172,646,876,387,116,
622,750,200,079,822,877,653,036,697,955,175,002,551,376,087,981,183,894,219,
528,162,263,301,086,136,787,374,602,957,262,824,513,058,658,119,118,309,238,
285,027,684,645,555,184,605,046,320,648,565,504,971,658,300,639,741,362,487,
956,428,385,519,436,439,495,302,290,069,304,266,379,133,913,493,284,998,754,
732,344,592,806,366,338,508,257,588,908,340,059,452,681,019,208,752,719,129,
412,712,078,705,955,289,236,244,735,678,219,448,832,721,178,430,556,554,125,
683,789,709,616,666,994,537,305,222,927,182,700,293,679,776,822,337,156,521,
688,249,412,172,619,737,225,408,990,422,771,138,903,523,956,403,026,695,218,
445,896,171,869,855,900,789,150,250,142,735,018,911,799,887,032,539,863,290,
442,634,556,945,063,924,807,667,771,536,070,061,536,144,024,561,479,712,460,
761,541,886,506,136,442,064,004,334,132,302,465,051,303,342,606,115,635,949,
415,977,641,270,125,696,193,227,919,757,448,190,491,871,616,433,980,528,705,
884,786,918,872,460,539,362,989,489,921,451,749,154,500,816,934,442,024,894,
224,619,959,688,472,519,253,293,984,267,981,115,742,130,470,127,460,814,001,
312,813,529,380,737,448,157,726,292,621,388,906,701,292,235,914,578,038,987,
173,159,072,729,350,378,957,103,482,470,931,263,701,833,974,532,001,168,149,
094,191,715,003,026,163,984,702,827,535,497,737,176,346,264,312,810,375,199,
734,954,877,298,925,631,802,614,890,058,759,903,032,481,562,248,002,461,059,
603,134,338,739,351,042,275,963,675,871,474,149,212,384,992,406,538,576,773,
355,111,124,362,759,098,157,353,609,031,765,881,276,356,388,209,358,120,238,
056,296,576,458,157,629,816,431,559,005,909,047,697,617,221,654,914,898,709,
483,930,318,029,600,665,237,662,812,338,835,186,273,871,439,653,292,874,389,
404,015,728,649,751,748,803,133,919,382,067,416,166,697,334,895,216,329,249,
346,027,986,166,866,500,247,470,804,342,332,336,606,716,637,183,529,960,914,
340,575,870,666,240,340,048,461,251,107,409,551,914,238,365,201,279,880,070,
363,882,065,600,053,215,221,229,246,698,767,328,667,678,087,941,180,750,578,
984,681,354,239,567,343,772,192,061,447,345,421,581,990,547,430,471,726,772,
308,210,352,357,306,744,469,541,899,457,297,252,607,403,229,122,633,980,136,
611,080,995,648,465,016,035,316,576,774,019,441,508,235,071,355,475,576,600,
075,115,041,892,530,456,967,346,111,737,510,239,319,437,152,783,116,835,265,
603,745,203,408,225,810,226,556,059,673,386,118,954,477,756,524,355,332,545,
493,732,695,812,367,340,589,539,257,111,453,990,509,125,764,480,155,784,649,
466,952,535,220,827,779,074,070,114,152,873,746,140,424,724,077,049,482,100,
732,491,195,790,821,392,405,671,000,037,376,507,377,991,847,488,291,346,971,
337,378,278,118,533,465,767,437,156,015,643,576,295,521,534,905,182,623,361,
335,142,796,252,750,738,974,976,082,374,437,498,361,989,305,133,864,515,107,
442,546,165,259,539,599,592,354,354,609,132,385,960,458,301,548,857,576,775,
701,575,437,143,397,988,588,498,507,079,637,299,832,744,706,893,350,302,959,
768,906,844,693,693,605,848,205,252,981,835,079,311,043,708,137,412,880,501,
353,004,317,126,465,980,912,397,869,164,610,048,120,204,084,724,983,706,850,
032,465,971,973,805,936,548,760,730,741,322,347,441,161,981,544,531,094,578,
862,458,968,129,978,388,576,308,983,427,679,906,020,843,594,735,335,156,577,
819,855,096,342,037,733,149,778,690,286,365,073,834,386,555,148,208,118,128,
479,971,926,514,337,321,052,354,880,298,881,565,532,913,344,503,144,880,453,
268,269,916,428,966,440,385,329,621,813,831,663,859,293,493,519,584,578,393,
913,486,486,153,299,997,482,901,817,574,754,813,049,803,769,716,749,141,351,
134,766,472,918,689,172,061,140,178,471,515,664,697,846,181,161,801,143,855,
449,305,651,773,230,290,299,611,048,956,076,736,116,798,347,338,924,182,816,
773,587,065,594,226,472,617,999,261,383,042,797,612,874,007,471,433,827,811,
247,702,755,966,662,683,219,443,734,748,126,349,844,127,124,388,478,446,421,
593,179,235,615,917,207,889,072,581,293,109,424,090,185,530,185,153,577,299,
616,200,573,165,795,523,736,560,930,395,856,416,684,578,931,798,934,096,051,
049,498,254,915,984,759,252,055,305,443,713,581,490,307,741,939,684,756,319,
757,623,688,720,212,735,898,785,115,006,694,397,747,194,496,451,648,800,122,
367,500,794,575,573,772,705,991,322,356,160,803,697,000,830,369,051,510,925,
919,809,914,194,948,244,019,326,983,562,793,569,939,171,628,525,369,542,638,
538,945,580,661,384,804,901,248,159,951,593,111,339,635,861,315,497,991,932,
914,103,663,381,778,934,799,246,735,534,661,319,353,932,355,364,529,802,053,
909,001,523,307,638,259,326,067,005,499,538,437,773,235,060,742,993,020,458,
420,768,178,152,071,006,483,220,286,785,084,091,083,741,370,828,014,207,269,
484,613,106,552,098,904,393,386,447,349,183,632,613,617,015,549,933,602,467,
179,445,888,844,402,857,638,363,015,593,473,605,938,831,946,482,613,266,460,
637,268,018,697,620,426,364,192,897,453,247,291,084,440,522,036,354,477,402,
199,607,177,379,459,432,200,296,924,808,941,239,156,608,039,165,088,485,676,
551,797,993,501,642,307,260,909,116,715,502,938,007,194,859,499,500,506,783,
803,779,793,942,120,017,734,122,752,890,290,229,246,892,824,330,570,651,072,
971,451,085,481,145,086,486,509,897,163,157,941,943,091,307,700,423,743,358,
247,049,362,493,144,597,320,510,315,040,729,593,532,333,650,022,206,811,815,
338,715,866,576,153,788,282,140,947,503,295,086,132,519,333,501,596,279,610,
523,081,754,307,056,392,231,557,551,937,071,525,037,758,832,816,462,992,813,
494,837,270,492,294,880,767,807,381,856,706,796,019,584,267,697,637,722,786,
292,262,265,517,791,895,932,906,685,270,314,811,923,467,436,349,456,383,317,
503,049,650,245,027,073,308,567,020,213,190,647,516,678,096,737,278,162,227,
365,351,631,912,387,065,253,307,042,950,945,104,829,681,061,374,989,403,152,
983,738,099,535,708,911,169,025,609,300,321,218,678,087,900,969,168,639,957,
179,353,548,199,904,406,773,829,804,324,164,541,142,266,699,746,095,475,906,
580,362,654,055,229,722,990,827,154,352,946,383,735,076,265,629,709,743,970,
603,142,011,311,631,684,542,278,895,217,259,885,970,993,788,194,102,758,891,
472,646,312,877,574,676,614,522,890,984,456,054,195,652,714,077,990,053,601,
602,374,823,955,147,781,155,565,886,933,688,800,969,185,263,042,795,937,155,
391,564,797,674,278,191,620,804,004,834,133,211,398,191,551,080,927,569,347,
966,948,651,299,255,183,875,101,731,368,975,865,007,736,588,576,230,544,102,
119,348,195,731,903,109,818,650,402,088,808,603,113,177,826,240,126,297,582,
935,839,185,855,431,675,340,811,134,095,169,924,956,833,741,522,321,492,009,
494,530,467,639,103,212,251,828,934,555,849,340,365,171,696,743,979,032,955,
470,690,544,295,471,083,499,330,064,992,511,092,438,977,434,581,853,454,510,
610,655,833,776,385,484,101,185,829,851,082,882,641,808,949,566,793,237,096,
188,209,421,146,371,753,251,932,025,076,321,286,744,936,724,255,517,143,783,
835,371,184,286,177,071,857,021,685,915,966,405,123,495,314,715,131,923,090,
348,987,430,050,679,435,949,621,387,528,886,029,361,511,561,036,310,645,496,
888,125,950,624,635,664,866,044,365,819,923,709,152,459,911,770,699,440,114,
028,010,507,999,806,985,470,403,435,542,383,021,931,373,502,940,639,662,802,
995,684,192,112,480,166,384,106,031,222,473,987,993,317,153,649,603,270,785,
285,858,777,988,450,067,140,230,123,579,283,371,550,166,018,898,302,815,838,
887,913,109,233,048,432,851,853,457,090,946,679,831,187,155,106,257,948,453,
840,083,391,568,816,709,207,820,287,118,812,953,082,142,350,245,720,341,666,
433,664,601,705,560,490,900,569,073,827,280,925,118,807,721,014,517,294,752,
247,811,305,201,801,739,170,451,931,610,680,163,220,398,324,209,698,841,727,
126,595,077,359,725,390,538,260,015,238,278,875,306,415,519,750,758,931,780,
098,998,983,296,986,153,433,674,167,450,305,055,158,477,800,363,974,248,339,
591,007,329,466,133,659,205,326,939,273,456,164,497,122,149,846,518,743,247,
696,115,492,791,584,631,114,056,223,913,568,239,907,436,170,120,336,150,121,
207,156,989,380,471,235,035,648,467,362,680,805,823,394,207,091,555,609,875,
537,730,963,377,910,933,354,357,844,471,610,900,050,745,412,789,907,467,531,
535,438,542,626,950,215,214,918,029,958,170,326,430,113,133,215,124,450,399,
316,153,678,847,519,154,117,086,762,296,412,344,843,728,025,578,275,200,365,
524,323,361,359,832,195,805,080,954,998,610,230,627,337,141,327,876,197,221,
683,893,773,822,692,977,169,193,612,283,348,733,103,958,788,555,048,209,062,
135,500,946,879,548,900,847,119,777,004,628,402,668,328,074,385,015,937,915,
753,869,648,805,259,935,562,186,643,790,163,845,285,337,766,221,046,232,916,
557,872,521,261,327,781,141,961,855,862,339,300,209,907,818,039,444,496,728,
143,719,313,210,144,122,659,140,939,155,214,574,527,116,125,010,101,545,189,
313,366,556,250,658,264,875,634,221,477,038,812,829,544,435,930,884,365,900,
209,165,108,778,208,144,621,551,842,710,343,667,404,503,569,594,636,436,249,
576,099,190,191,266,073,908,777,388,986,403,698,925,680,470,566,694,634,000,
961,359,659,076,623,986,530,529,654,774,946,182,710,865,228,742,821,475,095,
098,007,496,390,264,864,248,877,871,366,430,430,700,835,034,951,490,681,143,
028,257,996,769,795,945,202,598,286,364,660,278,419,527,273,688,628,642,925,
193,526,426,750,235,040,378,937,084,746,841,819,328,467,919,417,518,862,088,
575,406,031,575,280,833,916,965,301,902,081,458,812,936,401,104,158,177,768,
250,130,692,523,119,630,089,783,331,884,016,991,060,400,677,895,164,950,543,
342,377,817,484,616,252,445,439,522,188,283,274,529,116,408,689,361,118,978,
104,893,060,436,532,998,770,021,202,774,664,819,202,948,969,821,615,776,666,
390,387,590,594,981,180,454,853,960,997,040,205,537,017,107,042,148,097,130,
914,376,550,259,107,774,789,696,907,540,788,659,160,637,833,814,680,659,473,
308,994,699,566,974,228,731,362,344,592,886,346,430,861,477,904,656,549,598,
892,646,401,420,368,087,688,099,073,372,881,054,473,465,087,687,839,422,735,
599,463,302,732,225,272,963,367,259,389,409,318,502,162,825,201,076,151,764,
071,113,942,161,691,150,021,984,845,904,473,037,019,099,608,676,406,291,590,
617,875,055,765,707,443,169,021,942,700,301,830,266,936,034,511,786,333,119,
951,194,683,400,488,061,927,033,960,406,772,816,894,384,170,001,701,748,043,
750,438,097,579,550,301,609,067,455,338,951,504,118,475,895,445,817,955,432,
086,502,108,838,044,480,594,154,627,259,910,628,043,748,010,478,804,592,513,
241,051,775,694,492,304,849,531,190,537,962,946,187,795,231,406,927,942,743,
366,025,514,791,640,547,091,711,132,826,190,407,679,866,757,402,333,372,577,
067,213,203,435,864,270,725,569,118,744,431,569,142,418,150,862,180,835,733,
918,747,615,742,544,569,475,064,401,092,204,540,996,082,617,774,452,527,554,
672,672,388,937,292,857,585,802,961,107,792,607,334,225,622,952,353,178,943,
909,798,040,242,842,109,070,737,295,752,899,904,958,846,155,115,786,463,249,
594,545,894,929,725,935,655,069,017,651,370,422,526,159,476,902,966,208,322,
827,356,910,706,389,250,827,592,351,737,830,642,518,076,404,472,015,260,062,
659,599,702,689,972,112,188,843,628,983,260,045,765,992,696,833,085,564,353,
335,876,586,104,828,278,217,941,339,828,574,570,130,624,279,879,644,738,756,
936,698,012,244,026,188,232,774,113,777,239,570,975,081,684,850,683,080,692,
777,047,063,600,358,761,213,358,034,093,156,694,231,605,042,868,797,271,903,
342,950,336,512,438,625,486,600,081,571,738,860,573,253,665,731,058,673,192,
774,404,853,502,006,884,362,123,817,188,158,418,549,684,240,544,679,386,232,
546,117,132,978,537,250,676,350,810,373,194,296,070,925,688,810,601,190,687,
482,178,464,131,553,396,164,270,909,334,145,443,354,391,531,900,124,335,746,
728,260,161,551,107,180,097,462,276,792,053,212,413,376,178,633,028,919,711,
961,528,003,061,110,652,460,579,132,993,190,356,280,362,588,290,438,879,452,
845,524,236,736,429,391,701,889,136,353,461,985,352,797,586,674,060,328,046,
196,829,743,008,050,648,494,850,032,904,188,134,857,594,626,596,061,931,164,
694,881,256,723,995,559,466,438,528,078,167,974,999,271,792,571,366,217,149,
805,644,161,290,786,998,296,719,219,703,834,077,818,923,947,172,166,738,199,
927,507,472,952,602,404,146,440,648,910,432,365,135,473,360,196,454,995,153,
706,386,835,957,192,018,117,325,568,649,543,534,508,304,801,728,401,646,138,
606,451,376,547,656,301,952,945,265,291,474,747,713,580,980,599,018,162,151,
566,125,678,150,736,743,982,328,742,116,619,249,052,497,262,677,151,420,629,
974,888,124,119,374,170,111,584,679,569,148,732,181,163,941,713,556,276,198,
141,351,771,903,720,922,259,770,208,839,166,101,723,052,581,845,230,560,944,
273,459,315,931,336,024,619,151,018,643,116,097,837,991,080,657,415,100,788,
008,640,858,693,395,325,358,249,591,724,730,284,840,137,450,545,060,363,596,
489,354,603,746,482,943,418,357,690,659,304,029,061,379,195,319,022,428,158,
468,486,206,093,274,908,086,384,198,488,623,202,678,776,238,672,389,559,466,
812,967,942,011,811,814,240,671,734,712,926,078,657,179,962,104,518,326,337,
871,687,551,658,155,148,457,900,427,965,707,449,588,253,472,613,062,877,232,
730,014,278,162,577,849,607,141,441,555,553,453,480,980,778,292,619,140,430,
926,082,378,505,309,274,947,648,131,677,114,630,573,187,194,061,684,295,042,
843,533,083,101,629,150,797,416,177,509,722,942,800,812,038,289,396,616,230,
147,198,360,558,306,068,592,257,848,114,695,902,054,511,111,797,766,190,611,
833,401,326,345,689,552,476,774,106,212,115,799,375,700,378,439,283,078,877,
147,952,056,245,378,380,984,399,878,670,617,838,033,993,696,915,578,880,745,
852,571,726,929,924,431,262,734,736,992,833,434,219,890,244,760,434,358,526,
600,230,960,026,684,709,507,309,576,769,711,921,595,109,917,061,127,605,846,
973,547,540,786,864,548,040,349,590,952,015,508,774,796,210,557,788,629,668,
473,139,514,619,031,695,403,030,638,001,040,852,433,613,865,193,717,464,513,
262,036,059,538,250,060,925,497,991,977,658,420,891,731,515,096,269,572,303,
816,061,363,269,313,363,563,871,146,421,343,094,886,725,170,256,029,647,338,
936,284,636,552,512,803,204,800,858,186,925,443,068,875,617,532,615,794,873,
543,063,674,669,163,631,234,938,344,959,519,454,227,620,695,841,497,945,621,
178,612,033,399,872,765,926,798,384,980,735,034,680,656,650,712,304,167,677,
957,641,214,215,614,859,634,334,395,237,813,790,917,801,829,257,166,065,796,
231,579,097,715,298,004,718,005,204,441,401,155,614,036,252,377,972,712,350,
684,314,390,022,437,827,228,528,432,378,566,499,690,967,772,607,178,101,909,
972,013,766,962,536,770,477,710,833,961,375,586,086,397,083,553,415,536,771,
436,393,212,756,904,672,601,253,658,616,308,442,813,005,220,966,574,565,127,
231,378,193,649,151,315,680,481,502,875,920,906,995,312,261,481,854,133,479,
609,269,381,499,977,502,924,880,371,242,415,359,200,530,621,684,210,323,860,
460,120,184,319,921,272,379,960,828,721,916,659,890,700,461,492,141,329,390,
401,032,174,469,765,281,816,386,541,080,606,708,971,562,037,401,492,896,315,
298,048,893,397,656,479,013,877,009,580,531,245,521,219,087,381,016,395,011,
314,672,636,425,055,461,684,808,877,514,868,646,653,493,299,659,615,052,823,
201,995,490,514,988,988,225,916,491,850,773,999,643,727,067,314,697,351,045,
131,144,140,167,385,456,652,876,609,691,418,406,442,816,513,299,165,602,520,
232,336,003,364,419,099,474,995,866,748,196,065,148,435,289,121,802,110,698,
309,184,413,439,224,536,635,937,517,023,977,789,498,806,578,009,686,480,663,
198,089,220,527,308,813,884,711,941,312,216,105,954,645,391,279,710,380,485,
578,745,245,810,068,165,084,049,783,173,537,086,646,077,806,661,331,627,083,
959,335,928,155,462,685,238,901,743,912,893,188,314,999,302,631,384,605,898,
540,247,539,620,593,644,401,615,738,696,081,196,054,909,613,562,181,227,863,
896,175,622,822,305,915,232,433,155,086,102,650,601,343,624,289,311,578,813,
745,513,021,845,421,632,392,210,240,725,799,512,213,852,839,056,042,157,253,
953,706,141,670,753,859,397,262,301,602,532,010,990,052,369,475,335,810,308,
722,645,434,900,226,292,286,536,740,716,599,011,994,219,916,174,796,676,136,
387,382,348,372,840,872,625,775,948,292,731,652,385,933,507,969,146,861,085,
396,827,227,186,741,953,854,060,563,613,339,303,716,302,722,231,741,545,382,
376,947,739,290,146,448,362,619,688,309,567,673,879,960,880,181,134,051,652,
626,811,557,578,565,958,312,994,406,877,968,568,461,441,351,403,613,032,151,
158,360,850,996,659,512,746,821,322,435,757,462,996,488,401,513,834,711,948,
934,945,575,477,447,331,671,645,336,530,352,723,059,688,411,989,204,737,240,
969,063,539,565,260,469,386,094,061,874,936,286,065,910,362,853,029,478,352,
248,957,278,620,842,929,591,150,188,161,659,928,510,400,713,596,057,329,601,
688,407,495,837,818,166,674,101,745,746,907,107,564,396,431,015,743,389,407,
386,317,642,112,686,896,738,303,328,156,551,275,022,883,828,292,544,715,979,
621,002,844,406,832,534,179,107,238,690,163,938,084,133,832,394,357,492,546,
988,729,013,810,082,573,971,622,288,984,544,761,965,048,125,537,946,363,562,
144,534,039,200,916,080,120,601,021,867,862,748,695,983,720,567,259,198,605,
025,967,713,753,630,138,642,622,434,849,751,636,458,908,084,689,341,351,666,
417,442,249,188,651,362,310,464,863,314,081,643,522,029,786,776,315,856,090,
372,227,540,337,926,881,741,956,159,575,928,985,963,629,714,357,967,218,132,
662,542,323,293,689,153,301,664,138,504,331,179,066,062,627,729,172,067,825,
322,639,435,011,004,992,330,937,982,848,469,760,018,307,210,993,789,039,258,
079,046,809,712,579,563,513,409,874,845,364,017,107,351,420,358,851,653,190,
074,670,348,870,792,604,707,909,312,174,766,918,785,061,625,772,152,629,014,
202,184,212,585,144,207,066,484,955,489,714,571,122,870,478,076,100,829,612,
933,279,435,733,469,837,105,187,471,548,391,428,149,308,966,237,495,907,652,
735,317,272,574,778,212,054,836,819,203,991,890,800,400,778,592,030,063,554,
087,188,140,743,912,018,758,296,553,762,132,367,002,411,355,217,729,459,820,
400,012,498,579,368,512,202,659,924,038,074,976,700,764,182,620,723,026,780,
186,481,842,344,622,607,837,812,556,446,603,295,681,420,225,231,546,873,753,
496,022,671,891,539,537,449,479,916,965,371,764,688,239,199,047,512,968,066,
902,558,702,824,242,879,824,439,682,013,324,558,555,281,264,117,410,446,705,
580,518,240,159,489,620,060,210,788,550,550,530,870,998,024,821,369,205,460,
827,693,918,805,645,521,428,849,834,759,478,832,181,747,424,709,162,438,254,
695,063,737,097,288,016,044,041,347,271,142,978,534,541,839,186,010,650,920,
472,067,084,614,614,377,498,959,322,871,820,254,136,780,883,597,583,649,506,
980,181,507,134,933,422,865,525,022,224,732,690,728,573,181,503,033,519,991,
996,256,634,937,229,299,459,778,068,486,373,388,713,878,040,422,477,705,863,
165,576,127,296,885,503,203,310,714,985,782,670,263,160,983,817,257,211,330,
029,603,210,197,912,800,103,689,710,029,396,366,116,310,478,189,876,721,751,
574,133,863,339,976,506,053,770,395,846,726,981,621,669,193,785,651,997,892,
295,354,384,576,555,715,140,978,675,849,716,126,937,676,877,541,302,310,702,
406,125,463,222,452,174,210,751,345,233,860,859,304,016,946,780,788,021,719,
706,235,420,106,559,970,218,553,739,462,636,704,688,588,522,498,701,031,717,
006,273,220,321,301,610,885,829,485,652,847,020,477,297,992,250,835,219,707,
459,995,097,460,260,982,441,514,166,389,946,192,956,954,316,475,456,376,236,
248,123,466,162,731,370,625,915,283,437,361,112,168,186,427,823,970,966,221,
866,082,321,932,189,777,387,860,256,724,005,602,418,000,323,261,138,073,838,
167,425,663,471,589,088,709,318,323,692,414,890,211,917,216,031,833,723,079,
331,153,039,654,079,347,748,875,375,342,041,867,409,087,417,281,252,257,677,
940,161,060,955,759,896,909,767,771,718,494,148,414,431,236,256,611,932,892,
146,047,266,567,222,159,091,543,279,375,753,666,550,548,335,701,931,373,096,
682,574,854,012,973,509,525,250,424,103,877,861,292,886,705,259,411,951,476,
415,273,163,177,750,880,470,822,088,958,681,128,044,398,295,147,645,336,795,
681,891,798,826,142,009,878,650,794,256,156,697,529,993,614,076,950,604,161,
596,610,053,069,584,259,204,040,912,673,982,724,809,569,301,353,020,076,103,
744,293,663,175,414,443,480,774,258,846,525,082,517,666,502,413,087,422,227,
459,391,427,068,823,467,721,054,708,704,317,612,017,884,300,113,332,572,803,
025,908,359,748,696,012,281,089,267,534,419,119,688,927,986,635,965,454,270,
973,029,985,534,135,948,346,552,973,258,735,358,659,800,209,594,953,261,769,
358,091,545,908,317,399,570,397,859,506,112,138,192,424,612,777,386,865,246,
058,243,333,430,940,952,249,834,958,991,769,490,816,564,328,876,238,118,349,
809,727,651,059,493,255,241,290,038,258,032,289,735,223,105,756,343,620,678,
512,863,066,660,809,053,914,703,006,117,513,767,581,079,294,575,356,458,005,
782,802,174,713,576,269,826,831,209,853,150,797,269,662,999,102,308,746,972,
331,031,419,657,875,697,408,629,357,874,480,589,649,299,828,612,613,354,039,
445,051,549,736,751,821,486,839,362,515,030,114,515,601,858,372,669,800,452,
471,556,723,806,526,131,687,450,864,667,296,932,810,650,145,169,736,233,092,
404,658,223,758,902,740,145,572,825,258,011,427,924,376,492,081,128,698,525,
517,660,935,598,923,537,512,299,014,566,594,993,414,438,753,028,815,531,439,
292,948,851,050,179,048,300,184,482,912,338,882,507,027,310,729,947,210,974,
114,858,257,272,890,644,989,127,411,499,413,148,041,928,682,953,363,041,374,
293,643,095,660,088,353,246,468,445,653,025,468,466,579,752,723,461,224,181,
101,700,687,196,379,239,498,174,938,986,805,065,634,460,493,695,936,803,960,
764,907,454,168,473,742,493,966,547,983,235,261,951,804,676,753,338,263,639,
376,409,756,861,522,709,066,406,747,683,397,081,593,991,307,514,184,477,525,
391,718,813,520,852,878,092,943,979,958,765,314,916,120,897,233,186,245,736,
116,623,601,562,565,721,992,897,102,257,715,442,792,277,214,138,488,190,256,
468,846,295,577,458,133,385,504,307,349,683,318,659,778,104,189,789,522,254,
077,274,327,227,573,218,636,937,881,565,333,995,082,960,068,451,977,394,484,
143,010,240,837,947,418,122,025,977,997,203,294,351,585,964,413,889,074,866,
544,589,868,125,193,803,343,544,082,624,159,032,121,174,958,063,198,090,855,
856,762,791,065,019,590,864,437,377,580,589,591,525,809,756,298,873,379,782,
774,131,676,785,508,670,094,039,507,913,639,528,718,686,975,957,752,213,647,
500,291,423,025,297,194,586,757,752,078,793,882,451,484,076,773,612,949,714,
131,771,849,208,458,433,062,103,708,003,701,385,230,854,828,348,115,482,520,
563,413,110,134,816,807,733,312,985,519,020,207,882,678,964,082,463,616,831,
259,039,228,214,297,381,931,660,492,846,000,110,637,627,552,787,827,446,204,
008,406,569,615,511,765,475,858,238,852,422,251,056,093,884,977,070,099,473,
937,668,945,366,485,874,815,326,987,741,240,754,699,750,753,553,907,240,316,
501,230,528,519,053,325,144,400,488,219,574,208,487,138,358,698,253,670,189,
490,734,437,434,856,772,719,617,208,876,547,691,730,217,873,107,125,389,071,
744,709,770,180,889,393,129,384,962,812,390,677,752,789,158,806,465,741,922,
497,959,202,093,359,618,479,222,717,478,937,342,441,274,624,863,209,358,178,
130,699,399,917,893,300,675,721,090,695,383,255,210,577,380,587,874,818,147,
890,032,434,036,837,931,400,894,073,630,507,457,944,193,081,318,239,182,353,
837,056,525,218,437,000,693,138,534,109,210,193,467,569,720,875,792,240,587,
138,792,637,278,508,945,483,259,399,383,169,529,920,442,053,110,318,013,464,
105,739,523,919,514,310,178,594,481,588,854,089,635,514,219,694,439,933,483,
539,154,132,401,480,368,521,999,957,646,493,353,049,377,085,553,600,352,245,
430,185,371,882,397,521,165,592,016,056,638,347,015,688,002,932,810,382,339,
434,701,955,187,267,558,341,348,147,827,814,786,115,285,176,127,132,853,625,
743,859,785,552,016,697,278,785,369,070,059,910,791,562,954,779,923,258,013,
734,447,360,736,549,568,256,971,399,436,912,928,799,212,044,495,576,764,025,
358,572,554,829,930,231,037,520,983,349,844,073,903,754,953,830,249,896,913,
932,519,659,170,548,795,517,181,943,971,222,555,441,302,565,329,612,201,891,
647,714,362,176,082,649,133,641,142,128,228,202,187,865,734,557,378,461,248,
806,240,104,865,609,546,755,599,127,082,714,101,371,665,243,134,753,923,701,
572,639,787,080,525,008,651,907,592,783,874,280,155,110,299,204,242,450,959,
102,641,425,423,977,388,937,399,604,416,998,438,376,709,789,090,071,387,418,
224,419,952,625,788,147,592,949,476,298,171,197,454,223,952,369,920,716,178,
177,514,876,047,002,962,014,599,136,015,768,003,560,567,059,882,162,708,188,
693,227,545,483,059,063,830,679,752,496,690,821,989,028,137,459,690,972,167,
924,299,801,210,265,590,190,212,856,187,329,500,457,297,314,622,642,733,741,
443,004,437,279,393,102,965,448,366,383,599,852,559,469,007,501,494,144,030,
684,857,674,480,754,300,650,616,327,245,684,600,438,027,033,353,993,826,087,
861,606,750,263,016,831,535,683,306,341,669,386,683,210,774,000,524,559,758,
537,954,107,986,734,135,112,362,027,546,315,686,655,072,932,108,108,422,882,
566,608,012,727,390,477,651,595,245,032,442,136,497,586,373,089,853,936,912,
752,744,006,391,697,956,042,874,726,344,872,487,369,898,106,047,126,293,714,
125,634,623,429,721,821,357,158,601,966,135,121,811,442,124,811,126,828,753,
411,075,036,479,499,462,692,803,239,190,885,802,565,233,321,759,494,796,154,
291,797,476,362,162,995,585,140,198,944,575,283,915,036,188,548,424,991,268,
940,978,537,036,803,506,292,662,281,088,662,909,801,511,126,067,120,277,539,
135,761,595,776,935,543,906,804,352,749,931,325,741,339,810,834,006,176,122,
926,147,422,021,365,768,400,413,193,339,205,908,741,508,939,620,176,968,738,
578,219,517,847,027,017,909,653,627,124,852,617,017,147,430,457,167,810,087,
670,643,636,576,875,119,271,389,385,010,218,177,718,480,148,820,105,978,684,
927,170,360,807,464,543,870,089,177,058,631,512,040,465,267,592,460,528,824,
946,904,607,015,182,734,719,300,960,511,555,828,719,161,843,047,230,770,701,
137,276,581,598,969,955,478,041,481,514,244,618,223,700,038,786,184,959,953,
882,631,060,555,292,168,117,922,972,020,147,549,292,486,429,335,054,206,124,
573,258,331,285,870,484,300,443,080,863,543,271,233,861,206,075,304,776,780,
699,558,610,457,402,739,451,071,172,109,866,508,520,519,748,651,118,674,597,
167,581,807,067,451,158,922,401,916,442,029,975,637,235,121,316,931,798,471,
468,799,117,853,988,174,755,033,371,305,006,176,700,325,892,027,362,084,443,
908,906,138,756,204,470,368,599,256,504,114,395,146,891,063,440,833,796,317,
995,092,548,899,273,381,235,833,005,719,669,321,491,698,829,928,386,306,106,
809,982,354,290,985,654,390,475,118,038,718,795,556,407,862,499,580,059,039,
333,875,833,710,746,849,256,788,387,689,002,725,017,897,288,054,976,909,979,
370,755,504,430,758,610,169,537,866,403,079,730,603,452,934,095,546,206,091,
042,665,059,726,173,007,347,858,387,758,856,030,039,897,651,202,711,848,142,
241,593,888,594,171,471,115,133,073,012,552,458,827,055,067,540,273,613,908,
020,843,223,300,250,368,359,331,542,402,005,052,413,410,030,803,599,162,050,
778,826,765,348,308,711,114,080,141,951,718,412,940,862,579,691,231,116,798,
721,406,854,106,323,263,494,629,009,685,310,947,777,527,045,668,015,137,346,
959,120,475,644,948,310,597,488,158,597,860,732,665,147,668,912,350,717,897,
326,526,802,775,871,364,558,524,776,015,539,055,778,399,512,541,313,068,893,
147,888,956,162,523,901,190,864,851,649,031,129,878,249,979,792,749,459,094,
141,320,014,887,986,029,222,538,846,557,194,290,557,295,374,784,720,014,671,
366,319,420,247,646,830,858,116,581,403,042,860,907,615,515,956,027,998,690,
929,198,809,705,408,761,176,725,848,905,512,122,059,437,631,621,080,841,895,
528,175,077,350,061,144,612,721,472,595,432,507,168,646,946,810,722,928,535,
807,809,037,691,908,921,204,741,831,695,302,859,200,746,362,090,815,613,468,
983,609,863,426,292,178,560,314,165,192,788,064,321,332,931,609,228,318,364,
931,257,505,393,634,578,253,299,909,668,897,481,266,309,588,428,578,533,822,
227,489,683,907,255,286,467,805,927,513,539,334,776,466,273,652,484,670,320,
851,813,614,311,757,256,107,802,383,183,206,360,160,703,043,907,965,086,476,
588,732,158,925,888,236,215,959,656,218,701,935,948,838,913,969,902,973,282,
141,876,293,326,581,800,088,153,116,513,185,407,704,345,369,420,322,329,001,
626,910,604,195,739,580,111,331,691,993,976,423,306,979,672,519,833,560,828,
118,904,763,795,777,824,590,538,589,086,489,852,173,229,195,821,790,272,448,
722,138,993,016,548,696,351,680,379,689,736,022,040,133,533,157,552,340,058,
281,330,452,929,273,442,555,940,579,388,515,251,607,880,392,950,024,667,900,
289,717,784,392,048,700,489,331,159,714,060,711,048,832,144,813,402,981,448,
367,270,231,416,534,483,866,382,262,174,197,303,561,888,868,637,496,226,720,
870,450,358,431,314,637,191,542,590,907,837,138,481,072,455,313,527,143,960,
370,203,603,752,007,188,842,514,851,227,947,821,060,178,622,809,436,276,997,
997,486,184,752,173,795,385,548,830,888,684,938,659,305,200,920,539,029,618,
518,827,211,819,602,645,790,133,540,839,899,982,877,570,287,305,130,577,770,
204,850,387,691,297,234,679,971,311,969,289,280,468,406,774,264,636,183,399,
813,686,909,460,362,549,454,199,652,897,893,673,090,951,942,461,796,775,379,
816,056,403,634,218,048,901,023,553,380,808,502,360,662,180,024,056,851,957,
231,879,496,922,480,634,640,281,939,923,458,247,639,178,405,513,132,736,691,
220,082,764,909,401,845,355,471,098,402,531,338,319,379,873,466,490,429,609,
348,335,570,735,363,353,316,035,192,812,348,045,422,983,016,013,658,190,546,
656,625,460,465,803,331,770,875,904,504,086,868,850,143,190,012,288,380,161,
319,510,362,688,103,985,087,610,575,388,534,834,793,611,920,268,238,062,277,
869,536,508,121,497,710,353,565,008,781,639,673,894,909,066,299,050,626,480,
685,198,201,728,162,548,854,490,407,112,380,831,197,421,460,017,131,748,253,
203,457,678,000,498,979,327,026,402,560,047,502,614,679,044,349,544,968,900,
460,042,041,896,555,585,406,203,267,866,580,518,927,338,012,761,152,838,671,
312,275,503,449,690,462,722,797,064,017,339,046,776,198,314,270,940,691,618,
973,107,312,983,957,065,445,380,561,032,470,979,184,279,843,762,027,973,391,
514,635,482,403,159,744,856,769,669,997,670,187,422,981,418,938,805,003,700,
779,448,958,315,579,857,233,528,551,176,118,409,089,759,608,274,016,545,959,
758,947,153,851,223,742,115,262,207,331,907,414,391,531,308,591,393,311,924,
786,420,855,019,744,913,103,225,003,109,614,266,152,687,720,285,204,653,590,
823,436,943,004,831,807,010,035,952,494,226,036,946,298,649,640,235,920,326,
854,788,093,270,064,937,880,856,176,132,997,478,018,018,299,430,011,614,171,
674,941,896,120,597,665,336,317,414,740,327,225,392,493,557,671,032,200,870,
481,811,046,935,887,776,316,287,390,625,558,394,313,116,096,004,298,452,949,
505,205,685,909,690,190,940,705,923,864,048,617,780,039,119,695,520,699,845,
194,938,205,968,012,736,241,083,636,010,063,494,367,223,114,165,589,080,976,
398,475,982,259,688,064,818,352,661,836,531,875,841,537,134,706,428,321,859,
108,197,440,744,424,915,546,928,679,839,969,613,109,717,476,209,035,978,939,
088,555,663,002,282,306,779,509,525,255,388,660,207,831,048,453,946,883,906,
707,026,592,594,149,486,866,235,841,408,662,926,968,018,765,568,942,553,394,
934,432,780,828,274,507,267,851,906,335,714,529,941,067,912,800,222,726,767,
608,511,755,803,045,560,456,524,938,900,640,624,384,936,640,802,014,586,343,
244,255,611,652,363,697,699,521,292,109,444,113,938,689,932,111,019,212,547,
529,982,907,357,628,735,624,756,089,568,268,753,054,806,978,472,073,232,003,
586,836,735,309,500,126,517,285,019,357,078,611,512,888,663,863,479,860,942,
174,814,560,083,415,929,070,984,424,799,759,713,081,188,347,128,497,544,018,
111,268,986,447,867,300,127,098,361,152,556,630,675,846,700,040,977,016,717,
551,793,944,753,720,562,188,280,546,176,226,261,941,530,873,119,848,464,287,
058,634,947,769,740,582,798,972,178,828,957,758,934,292,140,611,439,786,933,
099,349,353,240,810,375,036,987,710,685,723,470,338,833,352,958,437,970,161,
117,822,239,466,476,520,408,857,168,189,626,016,394,187,746,184,175,078,370,
236,394,686,391,803,330,415,403,890,110,707,555,872,108,012,675,774,182,805,
878,372,719,905,336,255,924,729,709,556,205,641,605,279,531,875,957,863,351,
889,183,734,237,849,623,773,269,560,952,184,532,198,325,623,243,291,570,668,
600,591,526,427,277,847,190,631,974,154,165,956,437,934,167,653,271,520,552,
154,701,251,558,611,350,096,024,033,528,808,969,014,464,725,835,348,835,647,
279,182,500,554,866,349,327,736,122,252,902,064,648,306,413,273,899,979,516,
882,746,332,567,714,398,364,645,128,600,503,671,611,936,163,507,185,823,405,
462,927,407,266,869,227,653,637,884,816,721,217,162,408,653,161,750,479,377,
193,312,850,311,909,446,855,651,407,777,926,876,059,336,403,569,152,893,326,
676,764,271,280,185,976,631,594,494,815,236,391,726,935,176,583,566,242,416,
780,274,645,340,587,774,848,501,325,061,189,184,881,634,095,041,501,155,684,
141,992,062,146,092,137,078,841,050,450,376,374,347,648,007,989,368,955,845,
097,846,454,384,565,434,276,763,822,287,178,638,411,013,844,470,003,994,141,
557,305,358,887,527,539,904,701,690,888,665,695,090,964,932,154,663,966,396,
152,978,118,367,697,832,075,848,790,482,858,739,378,289,892,518,602,615,472,
102,241,252,568,895,038,356,287,798,373,362,443,731,691,372,044,735,388,548,
831,532,636,077,260,082,737,642,222,385,147,471,021,185,204,398,464,383,279,
952,773,559,834,947,254,219,657,961,224,197,270,423,704,575,756,728,092,640,
513,434,965,139,590,521,006,223,341,929,617,968,487,800,508,852,511,792,592,
177,612,680,010,185,638,885,264,946,272,723,405,495,607,843,730,303,473,119,
735,123,694,687,377,329,536,460,457,478,879,705,039,220,373,531,072,208,332,
608,076,555,150,092,861,932,101,215,121,233,847,918,924,117,871,802,194,130,
767,040,896,086,060,917,780,410,120,327,559,076,953,150,369,980,269,103,002,
541,511,872,490,576,011,897,250,184,292,503,487,617,273,994,699,659,440,251,
094,257,705,999,790,756,786,560,545,871,108,889,149,385,080,329,020,614,255,
736,388,373,577,582,673,412,212,020,176,605,607,890,569,949,190,835,855,876,
447,909,492,918,698,587,362,718,824,783,650,616,036,669,889,713,059,425,885,
625,430,637,614,707,479,206,315,847,999,456,677,822,994,634,246,986,804,241,
173,528,410,315,941,053,912,578,541,256,142,090,550,252,508,655,787,424,143,
436,576,766,040,886,101,897,686,198,343,824,016,908,927,074,337,415,366,141,
144,245,842,023,604,187,178,015,226,016,685,108,784,675,646,062,695,078,644,
394,894,060,477,911,901,245,422,400,428,625,759,421,175,141,409,843,672,796,
109,999,965,359,751,061,162,728,413,203,732,861,374,629,918,766,138,786,495,
396,956,473,608,961,352,105,067,781,148,536,102,998,886,490,608,973,458,099,
365,816,043,123,272,827,207,286,990,917,001,130,982,621,532,579,472,617,511,
391,199,891,885,929,285,292,360,370,737,675,150,036,132,497,828,531,886,363,
750,190,126,270,267,594,319,099,535,003,891,494,020,801,277,690,158,287,881,
636,538,799,492,249,527,568,803,750,912,672,046,865,636,895,157,834,760,033,
537,909,102,420,511,214,189,546,947,251,876,239,818,257,484,570,186,968,719,
198,931,840,752,015,285,027,865,907,380,525,302,851,617,163,353,123,219,890,
274,928,280,659,830,330,669,173,391,298,756,561,710,537,667,258,914,407,656,
975,874,613,870,262,546,480,803,617,231,096,116,586,746,234,636,667,146,221,
388,319,888,486,787,420,556,430,241,193,646,679,182,535,734,311,149,676,296,
349,443,816,619,270,740,794,933,026,228,585,444,672,431,719,650,271,821,409,
267,082,681,693,498,293,591,731,350,163,871,144,185,865,376,240,384,753,223,
029,643,887,932,617,810,216,424,298,869,581,076,740,248,899,144,135,382,515,
553,550,588,477,977,881,151,345,565,744,875,067,823,733,143,132,019,906,021,
109,322,285,808,720,487,130,637,629,422,758,731,796,165,503,142,173,340,536,
279,292,206,287,722,538,838,215,155,908,559,707,014,248,124,918,803,016,309,
185,795,042,524,752,651,066,826,773,045,106,992,015,071,745,239,915,363,373,
217,862,069,836,143,668,593,846,933,901,897,636,936,832,633,620,377,536,235,
720,928,619,768,629,874,266,100,841,868,693,741,832,318,963,356,085,888,893,
359,767,739,514,626,264,425,030,849,668,496,285,836,050,952,925,550,857,494,
369,259,936,475,972,749,803,703,923,431,404,909,079,477,267,980,007,794,491,
741,307,900,658,325,368,821,108,203,747,073,104,738,066,583,921,410,844,010,
565,330,843,134,775,893,662,713,178,533,644,434,641,902,232,662,672,914,724,
233,158,830,561,198,976,093,848,928,728,933,133,766,262,764,453,222,106,961,
518,487,525,253,986,230,942,964,202,554,164,640,255,845,733,099,654,488,718,
839,682,298,623,972,699,522,665,542,399,921,901,477,322,101,227,067,034,936,
040,712,973,270,879,051,460,620,032,308,471,937,080,307,441,080,831,868,437,
698,500,149,753,245,098,044,543,116,332,819,742,219,433,642,466,488,106,279,
291,501,289,496,389,829,103,380,727,960,407,825,007,402,982,816,560,721,386,
130,421,654,124,325,726,857,507,405,472,682,892,215,368,977,107,918,164,632,
578,632,054,212,025,580,402,239,503,525,134,750,768,153,154,171,118,368,564,
899,293,672,804,484,182,707,509,518,999,720,392,884,441,153,038,869,365,267,
732,797,057,210,820,956,388,844,589,875,538,808,821,986,976,056,563,043,536,
685,394,127,908,921,514,789,283,011,866,820,896,492,788,728,836,661,922,002,
490,271,329,122,174,501,836,761,098,512,082,293,471,190,151,988,420,084,813,
226,666,744,317,781,650,201,750,274,596,254,844,371,250,982,659,114,277,702,
201,367,502,029,437,272,426,548,572,551,144,123,085,164,274,151,641,688,317,
043,490,824,104,426,780,334,121,376,245,092,602,310,699,236,005,428,221,560,
408,762,492,866,187,914,056,994,034,342,907,916,456,181,604,137,442,449,471,
181,127,004,245,813,911,201,201,984,468,604,919,064,960,875,899,727,408,571,
179,936,267,430,443,470,542,103,546,033,934,854,670,119,512,848,877,135,733,
687,725,360,422,758,735,030,891,890,258,036,116,195,174,527,765,629,040,148,
592,753,187,797,533,144,997,887,740,236,001,899,704,685,207,384,477,743,826,
711,734,800,848,787,301,737,681,913,341,686,432,035,266,827,232,294,593,997,
874,211,324,673,502,112,469,881,991,233,623,296,833,701,491,881,152,395,900,
139,329,380,437,086,994,143,317,217,404,521,853,115,456,581,898,915,639,718,
488,634,683,362,822,286,820,546,550,440,594,163,148,019,787,955,621,338,057,
308,967,898,804,191,666,579,223,106,620,273,785,496,936,874,717,396,356,564,
395,003,381,818,786,190,900,370,950,652,374,862,433,834,113,935,896,627,302,
358,236,630,052,861,766,498,148,373,218,052,101,892,556,041,153,934,587,620,
710,793,872,310,453,147,911,880,276,824,583,080,301,580,925,652,117,237,991,
820,084,138,839,997,043,667,000,728,482,541,065,941,231,895,310,821,246,779,
479,578,548,826,453,693,249,806,089,374,206,557,273,378,949,172,438,352,165,
627,337,274,860,761,081,693,884,318,801,662,765,263,744,373,527,589,338,661,
866,700,110,191,291,356,005,510,709,809,541,554,967,854,034,335,208,061,464,
407,089,607,793,107,000,502,600,762,375,052,022,575,201,631,689,776,691,022,
653,866,068,545,863,187,574,774,873,082,187,167,373,420,141,426,767,667,076,
103,557,391,483,860,137,835,064,405,006,301,525,840,970,372,366,855,212,453,
484,814,346,254,871,765,048,998,604,606,480,713,780,910,322,550,602,236,083,
212,547,879,560,338,890,094,417,265,495,062,051,013,388,680,643,017,798,862,
346,172,247,075,096,572,224,605,246,543,136,203,026,954,217,232,677,988,302,
212,134,848,919,296,588,225,726,665,390,262,016,539,677,720,490,721,982,299,
924,825,187,941,372,003,542,688,087,918,705,875,244,634,680,874,609,962,076,
016,720,106,286,977,572,130,206,066,790,551,480,142,862,060,507,547,526,348,
828,596,486,084,285,677,787,305,227,297,008,945,613,630,030,358,961,315,400,
350,632,358,388,213,791,255,942,109,054,893,702,268,079,976,617,635,966,631,
828,513,019,500,933,374,574,941,910,343,121,212,544,097,310,762,617,097,549,
360,818,160,154,952,891,409,849,355,738,195,202,764,310,349,503,870,259,650,
020,654,619,017,069,367,478,746,892,489,818,700,179,453,261,660,735,798,513,
613,696,597,644,921,831,872,881,515,372,232,404,240,291,652,135,714,547,718,
104,094,574,492,032,421,180,874,331,659,244,570,183,749,672,089,362,595,698,
950,208,645,616,670,642,907,698,542,569,637,022,039,830,271,798,015,528,362,
952,026,588,941,150,984,933,583,552,187,788,419,035,153,210,207,136,378,687,
965,981,784,672,096,548,035,746,310,687,088,294,444,153,239,848,496,608,433,
406,766,708,103,615,234,278,761,818,581,691,963,244,344,435,925,661,033,343,
402,231,123,873,201,390,543,199,323,690,500,228,622,049,980,170,960,452,148,
669,594,846,387,459,745,423,256,252,363,957,655,525,295,366,366,488,588,948,
419,936,193,706,722,312,882,284,768,804,110,210,789,957,653,135,249,437,630,
118,401,531,204,223,687,693,366,272,044,058,923,526,482,093,353,387,490,168,
287,124,252,708,303,842,344,135,452,781,003,417,473,099,536,053,991,728,534,
796,002,597,610,684,843,060,369,623,562,051,326,740,407,847,870,913,483,466,
717,559,036,375,614,715,980,731,026,366,765,984,938,206,000,541,462,042,391,
352,488,622,920,797,777,436,307,354,356,780,756,514,384,400,584,364,763,784,
895,457,133,018,401,166,295,201,713,269,020,028,476,362,499,878,895,809,038,
715,012,488,205,424,150,817,024,921,257,525,108,211,395,988,265,983,557,838,
107,339,507,069,919,665,887,102,304,256,809,777,397,938,720,934,354,324,371,
091,603,496,653,810,347,592,758,602,490,491,212,677,302,477,797,350,754,256,
140,691,047,845,111,377,864,923,779,024,000,891,936,270,987,723,401,073,652,
255,044,963,173,346,906,460,275,246,825,886,391,916,790,808,649,678,211,266,
171,133,961,077,416,830,944,983,190,824,070,361,337,887,161,180,895,576,723,
177,325,151,409,068,428,328,150,390,965,476,454,473,509,228,630,511,610,756,
732,270,334,110,023,422,630,937,353,284,980,197,568,997,839,485,541,419,829,
132,538,021,695,302,672,136,490,887,547,250,269,050,913,646,616,559,325,011,
248,878,714,629,882,864,920,026,774,369,536,212,743,039,489,054,764,431,472,
156,187,077,459,293,753,208,582,518,968,246,060,684,274,012,265,392,984,275,
156,980,217,672,237,768,710,896,035,639,791,197,110,261,516,640,309,653,869,
732,079,301,335,107,856,922,427,137,595,643,109,477,082,734,203,323,189,166,
168,826,950,472,741,443,030,389,917,936,402,032,618,118,301,615,993,693,613,
221,389,771,879,833,207,468,490,163,982,169,734,375,184,841,155,421,957,838,
212,038,897,388,427,314,204,127,917,214,452,181,528,891,874,112,421,001,438,
561,416,488,644,967,913,542,988,884,928,747,718,255,061,795,961,256,566,298,
080,440,580,276,106,082,651,196,072,445,867,503,699,630,093,628,167,046,115,
551,824,407,687,859,758,003,487,241,880,595,889,004,418,002,615,634,953,418,
362,998,186,210,568,231,559,564,357,355,908,674,656,752,182,641,262,461,873,
442,145,526,492,909,213,094,497,663,690,984,020,146,042,978,750,178,069,230,
494,374,461,119,001,879,494,950,117,033,518,110,280,030,490,497,410,219,468,
288,673,535,931,735,720,876,758,133,319,390,416,296,876,402,891,684,442,681,
720,110,615,069,430,352,028,219,226,345,039,916,440,872,810,316,496,239,534,
740,687,275,746,511,631,573,729,952,983,348,458,720,845,609,310,709,556,999,
704,933,023,745,380,737,394,133,131,417,717,577,382,088,946,925,958,904,346,
664,338,363,549,513,355,222,381,840,023,146,671,972,283,609,871,416,852,708,
940,855,806,838,157,049,208,101,920,971,343,845,046,653,686,731,950,152,085,
410,139,559,636,103,386,276,283,346,602,581,653,584,115,011,387,291,739,895,
245,764,407,018,800,633,077,601,564,039,912,051,095,994,463,087,716,276,877,
507,239,855,315,408,487,424,468,640,952,152,619,314,861,600,297,158,405,427,
843,207,159,158,405,892,117,151,732,866,169,137,975,892,071,106,772,402,536,
023,296,164,014,231,033,196,153,718,463,419,137,210,929,935,429,267,562,871,
228,534,945,274,033,156,969,514,157,509,529,313,525,313,228,959,248,104,879,
190,335,541,909,433,996,209,951,130,030,692,068,714,138,303,728,850,768,774,
605,904,562,440,309,107,861,974,182,202,369,689,884,372,464,999,516,792,214,
048,034,227,174,803,096,921,670,798,049,949,884,497,477,214,435,680,766,023,
408,755,475,752,795,286,962,572,427,787,358,811,657,981,108,185,453,380,071,
800,828,305,575,088,073,336,764,725,234,630,953,248,121,653,612,015,056,619,
012,980,298,263,123,455,204,541,975,537,478,643,779,514,286,925,341,775,918,
585,494,580,205,823,294,316,580,143,900,943,604,362,829,409,139,821,152,104,
007,570,134,553,484,587,699,487,431,432,883,362,552,350,778,551,329,023,255,
606,408,054,677,037,708,295,311,305,090,021,383,733,701,996,330,790,029,230,
051,688,699,800,732,757,826,409,449,195,941,103,610,137,315,219,541,555,217,
727,483,297,504,355,372,325,215,323,024,095,391,878,900,226,558,633,137,631,
721,263,978,929,099,706,291,987,464,344,727,532,274,935,323,190,564,461,409,
915,141,344,125,464,364,875,231,599,538,043,784,897,589,552,017,891,085,569,
760,720,856,401,678,684,387,383,287,658,373,646,672,993,030,278,105,201,490,
325,648,537,170,559,627,376,974,740,990,976,238,861,574,798,124,898,051,380,
883,710,062,441,514,153,221,677,883,532,755,576,324,286,951,374,437,800,093,
709,536,130,810,161,375,571,196,397,248,273,398,672,370,518,108,601,804,227,
378,203,349,928,482,722,398,712,430,729,338,346,292,148,177,186,862,337,598,
631,348,682,061,043,939,745,427,553,258,744,802,448,885,543,957,289,464,806,
029,509,221,363,462,331,621,395,980,847,909,066,214,083,095,198,860,846,279,
178,196,305,251,409,515,257,294,153,471,229,297,485,842,371,048,936,792,479,
378,087,925,706,668,564,505,657,272,421,735,311,112,101,853,922,572,780,774,
477,307,827,579,389,893,166,520,042,504,013,684,989,267,616,885,459,655,152,
366,760,648,988,804,280,676,684,820,006,220,127,591,157,610,647,436,789,708,
941,525,189,738,462,310,143,432,540,143,634,155,032,710,202,119,953,323,716,
927,319,212,703,123,271,549,753,616,822,608,967,557,974,965,364,943,657,693,
687,330,781,876,490,374,498,863,587,039,724,634,962,048,455,219,786,956,981,
012,580,570,801,593,309,766,872,240,044,812,439,759,873,442,750,154,025,750,
852,083,803,847,168,244,925,664,960,177,295,587,112,602,293,387,694,328,694,
821,573,981,165,068,924,568,937,463,392,239,028,286,735,831,937,080,339,132,
473,378,276,136,713,406,979,693,522,888,180,361,794,813,762,812,162,445,237,
688,378,610,632,718,053,827,931,739,945,070,957,297,518,567,096,636,727,285,
390,563,975,088,880,186,440,202,696,637,447,788,346,567,006,183,034,256,996,
487,717,524,327,562,371,323,117,670,030,824,045,047,583,298,394,412,411,626,
209,741,235,755,606,571,005,342,095,836,199,147,824,542,443,424,404,160,989,
986,473,651,043,224,744,407,330,051,677,710,385,593,107,671,767,393,645,863,
417,775,683,355,215,153,520,314,276,583,101,419,839,143,146,526,889,465,759,
575,543,882,805,682,954,878,166,151,761,147,112,467,238,805,291,060,211,677,
154,049,324,983,999,602,302,416,664,718,039,611,315,872,034,904,037,764,084,
101,512,639,159,732,342,329,593,178,060,848,750,874,584,310,448,877,663,447,
298,848,980,876,470,014,354,123,006,243,668,377,675,346,535,552,940,487,213,
695,249,003,659,946,483,875,388,064,173,690,631,617,934,057,802,638,828,992,
659,234,798,540,684,108,243,950,504,675,353,387,995,282,200,687,786,881,617,
153,294,597,232,678,544,690,517,952,267,753,700,399,093,534,710,728,325,130,
584,780,330,618,506,994,661,751,413,550,181,133,103,333,346,676,318,983,296,
742,633,561,172,469,490,035,818,512,487,702,078,780,022,474,089,986,844,171,
071,541,035,663,818,738,340,050,302,983,076,128,452,709,678,856,687,730,755,
077,574,235,513,341,836,996,549,013,020,299,298,110,940,245,190,568,184,389,
604,696,828,102,561,040,820,865,050,124,486,931,349,192,940,295,936,202,072,
042,100,138,462,019,225,764,740,210,032,390,809,868,807,555,394,020,860,234,
647,779,965,951,368,946,523,020,759,022,232,089,145,981,728,695,286,780,673,
483,964,875,948,770,592,581,710,106,298,802,948,838,241,594,164,743,136,265,
551,210,617,821,096,599,036,967,892,551,038,731,395,044,158,956,661,432,159,
411,379,737,020,583,940,755,070,285,589,178,610,754,916,002,592,359,628,206,
339,717,441,530,046,221,307,590,318,233,065,172,014,178,380,738,802,225,197,
157,304,945,553,521,875,209,403,472,362,821,780,104,426,130,229,288,354,886,
453,176,969,462,536,605,403,108,128,677,602,278,361,695,270,192,778,421,290,
498,177,652,135,181,484,960,097,212,867,101,616,195,356,972,257,150,081,672,
614,344,823,117,788,858,112,538,157,170,354,976,998,640,007,556,289,262,060,
945,589,578,174,991,234,991,468,725,880,204,829,128,370,384,069,047,059,273,
286,052,662,179,841,393,754,725,283,863,545,847,347,816,629,716,728,933,699,
241,321,545,832,629,172,788,130,645,568,507,423,605,491,504,663,595,417,771,
942,903,062,755,932,572,351,832,851,925,764,280,019,404,767,282,952,734,571,
575,354,513,605,354,022,907,788,489,913,429,478,769,962,523,061,740,574,358,
996,368,412,834,703,705,962,338,765,026,084,572,471,548,071,999,195,082,307,
226,122,103,775,851,022,753,280,134,028,192,518,390,688,784,916,195,076,022,
963,760,003,614,343,027,092,646,911,908,860,744,983,991,973,881,642,931,294,
096,932,323,970,499,841,369,956,599,756,481,273,648,836,241,685,380,126,726,
088,096,089,380,786,628,441,567,862,952,335,387,206,808,585,825,712,386,176,
209,762,648,787,083,353,084,146,948,547,834,289,768,910,490,728,701,191,979,
585,693,673,201,617,222,552,969,525,482,977,739,002,378,946,222,208,292,638,
155,548,678,003,189,224,785,759,902,923,902,923,649,211,666,359,044,843,032,
307,730,322,177,346,384,063,954,219,497,923,735,540,820,002,864,118,929,159,
036,403,797,002,505,316,446,025,263,371,037,712,303,674,672,763,046,295,929,
758,087,934,966,396,452,757,732,393,487,538,125,524,930,113,380,910,995,923,
866,190,652,037,057,589,045,573,895,671,053,391,486,200,567,358,947,799,101,
833,108,650,075,491,651,805,529,134,962,954,993,251,724,512,925,662,369,158,
565,359,101,113,771,206,638,284,194,819,055,010,855,461,991,774,668,388,566,
153,687,898,488,663,996,322,791,986,853,119,135,378,324,034,850,750,048,199,
662,075,183,768,898,189,145,107,613,368,244,305,818,145,986,551,891,710,166,
016,620,238,822,762,633,436,350,352,767,062,671,216,352,760,575,491,036,441,
533,865,663,684,118,889,315,109,134,130,443,235,948,540,455,999,440,908,670,
103,221,605,941,619,766,887,843,866,223,587,838,795,331,701,270,002,528,309,
344,141,626,344,571,314,241,220,775,584,378,721,518,310,822,840,942,053,996,
232,910,530,981,292,658,694,151,570,918,712,353,060,376,396,924,153,409,109,
425,772,221,390,428,734,691,896,701,688,119,200,921,876,822,962,948,219,944,
333,620,714,695,653,580,730,585,660,535,085,593,654,342,088,050,605,222,957,
149,743,835,511,644,877,940,289,358,154,199,372,044,615,554,906,299,076,714,
537,783,339,346,370,729,495,092,079,802,696,009,537,882,049,644,199,267,340,
994,160,780,824,853,231,456,827,837,680,884,723,660,682,494,429,282,573,131,
847,509,682,191,273,543,003,231,913,812,767,961,500,433,625,230,463,571,557,
899,517,311,438,508,757,006,414,105,368,653,165,348,215,851,754,516,242,184,
789,124,595,375,243,509,297,189,410,294,505,733,652,800,992,420,585,270,207,
379,519,132,640,368,431,862,734,767,729,962,696,562,048,706,742,087,262,833,
804,773,058,825,226,851,941,952,871,062,069,084,787,173,777,470,966,675,980,
982,412,702,271,865,986,394,571,225,163,622,616,096,203,071,616,609,218,942,
645,330,992,575,652,242,850,593,418,898,293,209,074,193,477,458,134,529,796,
918,359,404,324,667,245,223,615,609,026,210,783,164,150,446,938,843,329,767,
496,891,538,856,705,151,207,861,462,558,235,403,531,150,195,194,268,497,126,
391,264,168,448,396,604,848,822,040,319,401,714,086,364,393,548,424,544,568,
512,198,873,164,046,359,940,218,240,710,889,727,235,816,023,035,881,613,157,
081,919,033,241,834,018,431,755,266,473,826,900,969,392,054,137,595,463,316,
690,193,134,470,555,686,262,355,095,160,765,342,819,953,314,311,424,537,996,
008,786,651,463,379,061,178,939,286,354,839,669,134,530,696,168,895,115,399,
576,225,128,687,977,598,222,549,040,400,033,105,251,622,798,422,508,641,410,
286,571,321,976,619,376,574,540,881,423,181,783,928,311,909,336,281,308,058,
711,400,174,287,520,865,059,092,034,833,415,921,390,103,675,179,277,102,833,
044,898,385,662,576,060,635,421,596,954,318,961,848,010,697,348,717,673,669,
257,891,468,767,878,100,079,051,544,480,394,050,286,380,515,592,485,873,286,
904,026,857,924,665,114,682,876,506,060,323,098,056,039,603,659,206,345,787,
211,543,368,103,038,762,597,287,552,594,947,906,387,005,648,296,420,663,348,
930,582,789,245,814,904,449,305,221,277,237,232,612,130,744,707,949,446,581,
860,994,410,164,752,625,977,798,322,680,010,656,892,473,554,098,838,867,898,
951,278,109,996,910,573,726,652,262,748,523,249,799,332,431,878,610,758,101,
216,963,247,945,681,922,463,081,985,216,927,592,855,869,968,985,515,516,863,
448,356,093,122,323,669,576,523,952,892,587,040,037,351,033,499,073,616,247,
368,150,216,859,696,032,966,745,005,653,223,475,783,627,446,360,974,693,825,
516,704,646,682,971,788,702,857,419,502,687,628,483,187,696,422,214,897,939,
222,092,510,527,437,316,819,407,638,192,470,102,427,210,929,233,974,140,420,
629,831,461,708,704,507,070,592,313,426,631,574,958,862,448,919,853,402,441,
679,148,532,138,343,170,761,652,452,500,456,125,237,961,085,571,168,166,039,
912,568,249,969,084,413,352,588,237,160,912,247,064,275,639,990,274,463,959,
426,317,529,702,808,069,506,517,827,381,765,260,749,682,607,453,342,261,331,
788,132,252,995,716,585,102,801,560,976,513,476,432,559,688,711,930,962,099,
519,285,466,087,682,260,950,464,872,963,744,155,043,991,151,385,493,600,722,
110,402,792,680,634,855,294,644,309,245,438,152,766,269,245,532,804,531,002,
260,101,295,328,779,393,241,714,080,588,153,246,606,884,417,154,516,516,594,
684,876,299,824,722,833,162,614,770,895,294,248,218,521,245,341,275,435,208,
704,104,224,717,425,537,848,107,535,091,461,840,713,185,787,967,377,249,459,
889,675,922,834,878,893,800,210,971,665,416,609,936,723,427,797,464,022,701,
002,141,573,358,074,645,794,063,189,220,521,717,912,699,393,959,419,136,029,
919,656,940,565,509,157,168,635,301,831,247,459,209,282,580,306,251,652,006,
260,534,211,014,078,921,957,124,674,440,829,966,682,967,972,411,783,721,877,
774,765,187,082,772,363,829,463,290,792,094,282,906,105,437,247,451,977,133,
810,310,127,309,067,845,067,913,254,317,368,936,496,173,257,651,621,813,757,
325,753,736,156,419,653,432,088,433,566,996,461,034,046,319,627,376,160,783,
413,051,345,447,513,746,805,110,702,978,193,200,281,775,390,604,815,775,639,
280,512,995,980,421,673,135,989,732,078,701,735,163,960,351,398,809,704,945,
147,210,128,816,986,057,180,874,699,540,018,376,508,942,929,678,646,629,658,
564,707,618,038,742,673,937,557,149,502,468,006,326,112,683,795,427,629,251,
828,742,655,156,084,152,353,516,829,126,516,157,202,677,299,070,994,011,098,
530,690,119,497,225,992,858,870,010,827,319,657,453,679,764,146,491,371,897,
337,551,166,517,960,364,547,042,782,361,935,802,561,008,166,137,212,941,576,
363,275,239,917,361,184,842,112,719,613,806,062,575,688,584,461,341,657,200,
076,350,599,484,225,431,902,025,942,950,782,013,162,217,691,328,378,095,692,
784,761,142,081,779,445,697,468,550,778,311,553,020,967,743,210,394,510,390,
744,463,542,101,216,890,809,213,452,106,199,243,646,309,339,454,532,135,818,
541,851,021,927,263,845,041,404,108,733,001,788,442,996,922,413,701,022,555,
579,460,227,575,821,866,841,976,307,607,599,219,034,007,986,496,161,503,955,
841,389,415,998,980,969,505,248,004,947,285,973,533,614,772,143,003,232,622,
618,964,547,465,250,377,367,893,153,883,392,271,135,505,253,689,090,396,556,
245,532,648,351,730,575,886,320,936,345,707,524,231,323,104,660,475,964,176,
755,406,501,729,950,300,977,954,798,660,979,433,706,548,131,560,132,330,888,
275,358,978,751,701,932,639,892,573,825,998,709,387,184,982,031,148,562,099,
034,552,417,361,254,472,343,851,093,371,961,923,979,642,836,784,238,409,287,
365,493,403,394,469,717,638,922,363,036,267,196,377,051,666,674,346,172,372,
319,482,144,822,038,483,839,179,867,834,249,961,710,276,125,676,132,118,525,
484,244,739,750,859,493,738,826,378,671,452,042,175,486,821,996,279,969,219,
112,086,016,695,368,480,413,672,980,201,988,698,950,859,276,724,706,976,097,
836,765,310,971,948,598,475,606,764,504,433,257,625,588,668,630,455,485,466,
370,612,562,178,283,671,784,320,899,256,012,632,723,750,132,286,093,563,756,
232,374,974,495,301,213,924,144,395,664,024,234,693,109,826,663,220,881,381,
889,876,171,987,409,546,708,946,480,986,300,073,296,237,951,549,659,319,820,
542,869,381,421,663,825,963,967,548,902,635,820,059,870,951,056,476,477,355,
381,678,306,224,391,609,180,248,900,476,749,826,584,642,580,380,831,222,922,
848,468,396,883,863,946,818,467,976,286,818,965,156,101,565,984,234,630,841,
693,013,154,634,279,286,294,405,869,519,192,945,206,986,262,309,815,900,498,
594,820,140,300,309,051,274,933,724,002,359,982,235,726,514,409,438,501,152,
876,410,301,592,561,179,790,113,193,775,444,815,703,948,627,471,258,385,516,
385,011,698,675,988,487,954,037,312,916,843,183,829,577,145,059,025,458,260,
204,259,409,183,612,642,355,653,804,359,727,650,329,532,217,798,073,388,103,
210,929,511,651,059,642,128,662,087,155,610,588,815,080,842,777,357,167,172,
085,128,747,505,265,263,304,946,169,896,440,727,339,073,075,032,648,915,495,
968,080,392,355,428,197,346,614,826,279,391,371,549,013,718,177,662,027,304,
135,137,069,171,105,737,613,701,495,101,124,866,561,201,296,760,093,890,932,
753,137,704,630,498,192,563,303,702,555,807,375,532,975,933,670,983,607,901,
216,631,135,853,072,549,601,105,709,590,940,898,523,591,433,913,740,568,926,
305,715,928,442,100,035,156,115,267,119,738,484,421,530,160,482,693,676,650,
113,455,069,844,666,068,780,247,187,945,335,487,211,490,300,684,406,758,424,
238,911,229,359,076,689,634,662,745,271,180,017,424,039,503,622,456,404,750,
970,033,458,166,582,909,493,610,523,873,022,433,887,435,849,483,971,620,747,
474,174,140,757,464,067,067,849,236,152,391,598,898,058,418,276,901,441,770,
399,748,935,747,131,065,793,160,841,780,435,701,252,960,832,673,988,368,661,
469,259,465,780,421,161,841,637,029,433,271,446,587,269,101,871,325,925,682,
263,930,067,351,000,943,225,337,641,901,631,804,630,488,519,160,539,353,526,
262,375,993,402,170,246,307,106,589,873,310,484,948,459,842,236,817,400,449,
159,751,208,374,897,237,541,824,052,806,793,010,646,753,274,937,148,460,721,
003,210,851,994,300,652,026,787,626,814,144,509,058,192,019,480,896,284,592,
272,535,677,588,856,396,551,613,264,547,372,918,999,008,843,081,660,545,298,
059,823,245,338,745,925,278,622,883,420,842,704,027,584,880,843,717,538,023,
344,156,265,663,360,994,461,651,002,655,352,986,721,766,442,649,520,163,568,
588,007,599,957,295,688,353,999,859,518,554,057,000,265,489,607,677,564,840,
674,339,391,829,311,382,404,992,795,088,872,602,920,836,432,044,325,833,681,
588,679,941,183,811,692,751,726,792,975,109,763,243,547,689,847,100,544,457,
636,947,143,723,237,595,196,481,271,442,900,887,582,004,620,493,238,389,240,
667,752,090,662,303,142,401,662,888,295,655,653,676,575,722,204,884,252,248,
135,589,043,962,526,497,300,495,178,268,123,542,238,071,119,678,981,324,005,
900,667,727,987,541,585,462,589,056,388,309,655,914,259,566,516,259,924,493,
450,523,501,108,193,075,749,823,291,159,085,380,122,171,648,030,515,448,977,
481,276,428,300,874,678,029,448,021,418,177,290,029,284,758,465,268,245,909,
388,407,806,540,194,261,514,938,964,191,753,842,265,088,643,029,547,616,550,
046,950,362,761,958,883,660,941,611,446,069,851,262,739,087,981,097,087,100,
419,031,319,536,384,138,884,475,603,869,954,440,062,555,813,579,999,001,621,
910,169,273,243,076,932,328,297,171,754,644,500,406,411,062,235,061,751,574,
734,986,556,103,253,447,694,940,506,096,937,149,506,087,849,670,764,616,696,
751,506,280,861,838,978,420,722,023,155,152,763,984,393,766,188,772,814,779,
569,901,241,833,295,773,776,540,393,437,516,070,560,833,106,638,436,608,216,
054,222,439,561,298,208,055,187,693,335,244,457,838,573,023,007,685,522,772,
645,701,428,849,677,286,749,260,896,689,055,394,122,531,384,870,384,144,133,
139,699,864,301,217,190,479,904,308,168,635,833,644,832,025,587,649,965,231,
826,939,342,064,954,823,762,383,353,011,713,112,100,863,589,609,134,407,679,
584,781,915,378,787,252,322,321,980,445,297,536,725,471,331,399,628,145,436,
697,722,579,596,995,154,856,093,384,429,248,799,185,569,197,213,758,333,068,
961,340,444,290,770,819,387,010,222,922,306,263,114,018,153,328,920,217,340,
139,568,116,525,072,267,436,656,584,513,726,699,125,905,997,379,719,561,728,
085,831,522,340,402,680,056,155,530,286,352,653,418,943,568,280,160,061,944,
581,815,289,833,029,503,907,785,966,829,899,013,142,584,280,899,158,495,413,
775,586,259,296,923,762,873,706,832,071,077,296,307,422,322,727,857,317,152,
434,119,511,443,878,373,893,200,326,299,246,217,363,330,235,733,909,201,343,
626,988,074,397,532,179,254,045,162,268,600,491,701,406,241,870,928,456,996,
729,898,140,912,012,973,124,067,128,753,614,827,503,077,198,693,546,862,502,
321,144,565,837,044,274,674,994,877,112,676,276,553,140,709,068,091,986,436,
914,917,806,509,943,938,344,304,194,033,206,116,439,012,405,091,592,853,374,
671,624,349,022,056,321,772,504,518,005,188,034,402,519,756,252,836,956,368,
694,460,843,526,641,723,664,569,951,349,393,231,361,148,111,188,661,620,053,
777,615,342,747,926,350,908,125,526,185,609,159,758,568,185,310,623,288,779,
267,740,697,828,168,022,991,387,604,627,725,754,398,080,543,286,994,219,110,
557,411,754,452,953,272,052,038,506,368,125,816,323,121,103,395,190,626,424,
473,205,860,585,138,800,623,420,064,526,833,481,199,021,336,965,670,450,232,
903,953,749,418,341,411,592,196,109,348,171,459,121,643,294,664,316,644,222,
880,828,341,935,430,705,553,206,059,070,604,584,215,031,251,444,129,865,144,
946,324,087,722,628,110,649,713,595,837,172,757,890,629,884,500,431,454,755,
639,995,452,750,891,929,771,071,535,474,915,902,943,097,891,940,851,366,846,
310,016,672,038,665,099,252,947,912,782,086,600,116,647,687,174,928,635,434,
315,563,255,778,545,651,445,162,444,914,994,343,465,618,769,934,070,987,831,
518,860,404,114,234,724,263,188,016,170,067,038,559,600,153,274,163,340,222,
415,572,027,480,850,108,193,652,027,382,430,455,364,869,009,327,219,999,271,
328,802,330,034,626,363,724,285,997,408,912,067,487,116,804,557,294,669,934,
594,394,209,842,365,557,955,159,707,653,062,360,119,947,578,550,437,312,974,
047,016,969,324,040,269,114,226,178,919,357,492,660,173,442,331,145,157,003,
964,137,083,242,014,325,679,617,660,713,853,081,868,670,130,930,638,711,595,
526,256,301,411,447,027,895,950,070,184,272,695,726,384,303,965,027,386,738,
619,620,040,986,854,405,238,850,224,227,622,420,137,581,610,818,253,977,146,
356,348,565,888,982,490,119,978,816,209,899,584,716,164,245,886,157,466,024,
369,399,027,517,772,215,962,543,415,096,507,114,114,843,101,413,477,923,129,
769,453,056,033,071,816,605,865,929,644,923,869,703,306,837,518,821,545,379,
972,546,537,785,375,132,293,834,895,688,837,666,193,383,218,626,150,128,628,
197,083,397,947,835,314,754,060,209,246,019,349,085,668,348,105,562,956,556,
915,815,744,248,248,311,776,745,848,510,256,830,688,139,024,122,667,616,166,
434,854,426,537,577,301,399,168,860,309,861,598,157,727,701,049,642,985,846,
335,832,626,204,154,816,921,742,315,801,351,206,925,291,991,053,357,885,817,
148,791,729,806,099,934,553,520,415,307,007,621,896,383,341,652,140,982,789,
380,760,561,996,473,405,830,728,021,091,278,314,311,525,483,872,724,224,483,
696,603,306,470,970,063,061,861,661,543,851,910,377,305,995,554,184,766,885,
814,262,538,767,806,519,540,401,950,234,527,765,744,044,368,110,026,891,030,
394,596,206,972,583,656,459,383,983,036,345,092,730,616,034,937,020,708,887,
889,607,733,532,777,508,559,095,012,346,980,162,299,780,025,338,279,996,739,
325,169,370,663,588,423,261,592,794,461,432,114,624,546,350,480,980,707,226,
248,168,843,114,287,298,010,765,042,428,382,662,727,357,731,353,708,642,349,
741,816,268,501,971,043,898,421,361,154,768,444,577,323,295,090,540,991,921,
728,249,033,520,477,770,853,385,660,097,971,251,412,805,516,358,893,501,890,
450,769,866,540,339,992,102,180,978,476,085,156,882,892,340,707,380,804,430,
071,591,732,441,849,380,772,812,707,407,637,716,616,364,949,833,499,081,831,
466,475,168,699,426,085,687,252,400,298,101,776,352,933,942,769,267,485,366,
917,854,310,575,042,857,949,693,782,132,084,978,362,125,361,447,894,489,868,
853,937,158,469,275,060,319,786,094,337,481,087,623,354,832,654,316,199,711,
593,248,704,132,363,497,361,952,377,269,097,171,267,581,550,880,452,298,009,
234,017,973,276,815,197,833,047,191,088,025,366,782,727,309,468,888,547,555,
329,388,116,992,870,634,281,401,986,582,287,340,442,184,990,164,260,310,507,
387,170,902,282,732,119,040,362,818,593,601,659,749,389,991,105,945,935,281,
696,511,973,728,975,424,202,339,660,393,882,396,010,629,320,169,052,620,136,
572,841,505,915,474,617,304,044,851,156,751,479,676,907,617,977,700,769,994,
807,344,239,652,665,576,610,166,359,222,023,475,611,762,089,460,573,679,975,
160,670,971,228,242,443,073,596,844,616,927,615,317,636,904,106,767,453,125,
632,219,269,710,802,104,508,318,431,491,529,555,247,661,116,825,263,975,123,
020,965,835,688,878,971,851,387,491,560,580,773,687,935,917,801,530,958,775,
322,863,998,657,761,806,585,950,553,932,340,910,631,943,626,828,304,857,754,
997,004,176,045,959,785,857,847,306,080,065,798,951,169,363,530,117,496,724,
842,716,038,344,642,993,584,816,473,376,911,059,143,085,465,858,247,329,492,
212,693,909,419,340,491,525,240,670,663,884,082,399,026,585,720,992,906,750,
887,168,984,803,991,104,865,911,487,531,096,223,034,870,517,407,342,699,865,
436,835,231,687,451,342,552,384,559,731,763,890,145,526,285,095,504,536,183,
939,655,487,580,076,738,498,699,291,159,980,986,251,824,060,817,982,970,267,
756,428,680,301,663,653,538,005,124,167,334,604,141,348,356,036,057,583,797,
979,197,230,400,739,699,193,211,128,727,168,698,888,143,847,928,194,957,477,
802,137,776,708,915,895,785,966,894,408,442,955,703,470,754,226,183,522,528,
099,645,541,782,960,474,630,417,369,003,837,057,755,941,425,746,061,054,182,
006,514,202,180,731,446,265,034,385,176,459,903,869,811,355,006,865,584,988,
316,807,525,447,215,999,598,522,293,189,876,368,038,105,095,148,747,926,583,
651,465,067,326,815,775,323,072,031,047,703,816,378,257,556,256,555,843,148,
336,537,041,740,337,935,435,355,792,721,493,638,262,460,393,990,998,003,341,
719,476,190,176,062,452,917,408,143,187,066,601,738,045,766,753,774,189,440,
231,551,051,819,897,054,277,220,870,465,277,281,148,251,217,864,128,660,779,
190,036,415,053,308,448,490,134,363,054,986,577,986,424,036,630,619,684,317,
737,648,170,403,286,893,743,977,547,692,127,172,153,683,532,771,428,974,064,
298,972,892,885,515,831,841,242,385,906,029,412,533,090,431,455,375,568,302,
595,972,402,805,327,128,276,026,817,102,499,949,859,202,782,958,957,291,174,
582,731,192,660,747,467,611,572,070,177,978,258,066,505,882,490,443,526,317,
723,610,640,773,402,850,709,517,138,279,130,656,242,410,295,443,482,792,182,
581,321,644,883,869,142,078,075,047,676,019,807,358,482,204,523,108,640,730,
175,190,254,385,632,200,816,810,850,039,057,081,018,552,191,113,647,863,337,
296,413,373,246,866,944,343,717,514,698,754,289,842,405,592,277,043,330,631,
295,496,494,442,383,011,367,636,062,082,567,444,037,959,898,524,414,027,476,
931,813,276,298,549,427,833,879,820,110,310,976,843,047,796,346,708,756,856,
821,119,541,529,452,531,607,477,588,117,659,638,636,042,004,187,220,007,727,
690,489,158,916,661,589,536,687,513,694,138,230,746,584,854,782,502,394,263,
563,499,153,009,072,798,507,291,487,115,291,269,222,768,308,224,641,717,592,
961,268,073,537,638,952,456,984,784,149,998,616,085,500,942,989,696,721,766,
606,388,576,142,096,031,273,293,097,953,459,894,455,469,473,172,017,035,768,
895,820,387,598,289,118,403,657,878,858,704,719,374,374,809,876,216,307,608,
159,815,321,660,925,973,885,237,485,480,947,884,872,466,050,402,417,633,030,
817,721,352,224,175,493,293,220,178,340,013,760,898,527,878,005,519,572,333,
493,804,670,064,977,530,339,617,532,298,666,044,695,135,921,586,562,649,227,
623,996,688,187,856,252,329,534,617,372,297,660,184,460,976,969,467,901,164,
456,286,709,754,128,990,193,540,400,129,632,792,431,403,442,669,055,559,426,
992,942,375,553,797,760,418,727,900,370,569,663,375,839,780,329,860,836,221,
017,451,267,745,342,679,292,189,105,449,981,723,717,248,858,184,197,651,714,
073,062,634,572,878,445,225,334,009,668,012,954,736,914,547,596,406,193,085,
114,088,016,395,775,030,165,103,097,774,729,301,817,871,137,891,810,458,262,
706,178,198,342,008,482,673,263,502,823,507,523,159,749,630,202,274,466,829,
211,811,272,358,664,323,813,977,326,698,692,060,254,131,678,650,686,216,756,
621,251,681,233,047,316,477,039,840,476,410,674,485,952,715,774,032,124,178,
949,815,995,690,980,027,233,985,659,843,667,139,668,649,278,902,455,942,309,
420,666,631,494,870,242,248,042,646,332,401,086,794,652,129,009,344,791,211,
738,123,253,188,736,261,235,108,631,912,910,722,682,748,605,411,128,570,461,
702,957,674,718,269,876,741,321,922,232,306,264,758,499,071,896,908,001,084,
849,360,275,378,557,677,411,387,322,282,907,368,781,202,348,809,622,955,905,
339,721,959,815,934,714,706,710,275,777,064,358,400,277,824,233,829,093,485,
537,102,495,840,067,764,542,629,424,633,924,036,038,502,291,704,507,501,030,
931,329,883,477,298,169,089,848,654,399,164,118,072,362,157,196,511,920,617,
423,171,306,532,242,836,397,377,669,393,282,292,502,599,986,971,187,999,332,
361,514,101,824,896,449,666,293,002,137,790,102,172,247,435,108,990,534,135,
474,753,761,145,046,794,990,510,720,360,315,997,653,639,441,435,717,929,901,
834,390,140,096,954,766,513,456,158,381,194,863,176,054,143,669,780,917,726,
738,509,917,522,454,351,866,556,950,285,775,046,787,435,095,458,788,697,457,
538,139,916,659,648,307,459,004,533,958,036,022,798,037,273,652,060,770,162,
871,526,787,858,953,164,101,004,666,478,449,571,331,911,172,462,851,214,589,
675,847,292,731,977,954,536,178,790,933,573,217,905,180,219,297,531,021,135,
662,410,247,084,838,959,946,518,319,626,365,028,537,634,590,697,675,169,317,
653,450,456,860,388,844,265,457,425,735,246,187,774,569,055,075,791,599,829,
307,907,154,179,347,965,480,334,640,749,104,541,692,920,442,690,804,990,407,
450,061,286,961,773,781,931,621,203,107,535,923,535,187,093,276,242,184,889,
455,421,768,706,918,727,798,312,828,776,838,702,542,581,428,904,591,154,206,
688,521,592,980,502,108,935,472,758,098,881,313,835,750,093,608,024,170,236,
202,365,732,705,779,189,190,868,802,069,878,755,649,314,737,382,677,779,423,
566,854,471,868,372,444,576,037,486,633,799,473,785,144,140,065,461,938,802,
604,844,464,846,987,646,636,565,318,984,803,959,812,770,810,751,854,848,291,
494,776,837,226,095,210,721,616,762,945,449,492,888,127,994,461,709,507,447,
135,861,094,774,307,955,757,153,307,140,906,031,441,165,998,264,806,719,333,
576,018,082,596,449,345,463,565,399,016,589,005,433,542,171,130,002,175,370,
982,250,991,657,717,122,464,721,972,476,531,456,408,644,721,381,111,626,552,
053,603,470,834,298,482,130,557,626,641,414,266,789,254,586,410,849,929,225,
168,635,398,326,092,884,320,476,286,925,296,055,977,557,740,146,394,446,838,
295,391,791,801,689,680,719,699,819,284,161,918,713,569,711,349,408,446,298,
565,307,581,244,941,591,478,132,919,173,447,607,735,477,264,916,930,232,151,
519,291,069,873,120,338,771,968,261,063,060,320,903,780,093,216,248,696,267,
224,162,137,716,663,118,373,610,824,823,264,060,201,651,119,913,950,818,445,
691,248,292,564,096,861,793,646,234,219,972,100,104,503,115,934,470,357,078,
552,613,290,615,672,972,288,293,320,246,401,588,506,832,561,695,849,050,226,
269,886,535,334,444,036,325,218,005,979,511,280,054,396,639,564,941,637,183,
966,735,920,378,340,305,836,295,924,412,832,436,693,077,309,740,918,616,415,
124,226,566,317,207,355,218,060,019,834,760,083,795,685,887,931,070,643,164,
116,299,965,683,949,401,384,549,002,936,458,197,669,636,939,379,194,263,980,
792,454,832,696,820,157,639,317,553,358,545,733,062,533,565,339,285,154,766,
047,076,108,184,812,811,365,831,919,033,935,449,880,239,236,652,792,974,643,
343,487,144,386,569,473,658,560,731,625,224,143,394,127,875,442,794,196,602,
554,936,022,638,016,216,371,325,185,356,022,596,784,293,549,495,173,072,412,
849,322,735,008,677,103,487,709,865,692,948,658,010,757,797,473,677,257,132,
496,693,541,769,145,589,360,264,027,095,482,785,360,531,309,856,959,090,194,
306,882,764,362,976,242,358,155,646,667,095,016,970,443,585,448,815,066,993,
710,173,814,838,161,214,062,107,815,498,420,582,961,634,112,285,444,405,868,
327,872,026,151,449,527,136,530,724,491,726,783,399,526,181,379,833,137,159,
615,292,312,578,896,439,752,242,370,623,717,437,443,076,079,095,764,145,402,
786,139,785,869,496,458,760,057,081,920,658,066,138,641,545,529,704,470,947,
972,827,445,399,047,521,038,661,065,279,597,332,690,144,182,481,592,664,314,
065,313,308,044,097,372,624,470,034,157,582,770,755,946,917,562,318,228,211,
803,830,922,568,280,576,835,056,806,081,330,973,648,049,650,891,730,404,155,
283,528,630,291,730,069,082,725,982,645,162,836,614,586,243,969,366,963,119,
174,021,436,223,842,098,692,886,012,041,667,589,421,613,162,163,891,517,200,
345,163,766,677,155,502,802,419,596,909,398,791,144,522,270,241,626,879,035,
916,561,611,904,448,799,580,471,595,916,820,272,514,440,368,485,888,471,265,
476,942,000,657,956,204,746,512,496,341,569,630,402,649,555,660,264,629,459,
890,544,983,960,548,044,095,254,277,939,030,386,818,056,893,077,729,738,610,
522,941,966,551,314,567,987,627,736,835,017,755,323,992,609,950,575,400,561,
868,944,760,421,392,008,721,549,232,810,739,513,368,026,536,555,525,004,170,
801,004,809,993,856,487,148,007,584,236,701,764,426,663,343,229,761,411,468,
257,292,059,790,038,053,962,111,043,389,188,434,422,200,355,611,196,123,105,
546,751,614,664,342,038,410,170,198,354,053,248,117,392,526,967,729,286,141,
259,545,274,647,819,521,457,279,076,973,117,916,876,172,778,721,182,188,556,
267,205,957,348,846,158,759,786,906,075,143,700,456,891,520,376,972,921,872,
855,515,747,944,807,310,190,097,844,938,364,097,141,512,152,161,008,093,357,
392,167,030,999,602,949,473,092,736,119,293,661,783,374,911,890,722,896,048,
058,641,741,905,919,775,173,503,407,771,133,296,524,706,370,628,102,158,738,
747,308,918,478,948,645,003,655,395,256,310,798,271,203,322,425,477,409,176,
914,308,028,829,063,215,401,538,332,099,627,681,890,869,708,320,609,633,133,
491,870,000,594,185,505,166,890,254,038,623,403,220,423,185,608,113,398,084,
477,872,157,771,459,337,211,690,370,474,911,691,375,377,397,485,213,199,534,
937,716,687,887,148,724,772,197,696,811,759,646,009,122,419,559,346,352,742,
858,979,549,788,692,733,089,241,417,221,026,664,000,878,276,678,919,073,958,
518,634,460,031,622,411,858,481,408,628,692,081,826,593,335,431,830,967,100,
142,265,807,109,110,624,494,633,936,125,526,634,747,844,272,686,108,808,882,
086,717,747,753,814,659,927,402,210,706,025,646,079,522,591,970,931,338,776,
970,055,530,446,878,702,222,229,246,397,475,689,821,733,405,472,242,919,999,
923,977,646,102,621,071,146,113,463,648,854,420,898,636,519,474,725,839,165,
981,887,952,949,567,695,658,309,850,554,568,677,539,894,890,053,146,613,957,
404,471,143,609,145,412,807,443,665,197,001,185,650,305,315,001,424,517,705,
142,836,419,502,990,557,892,392,288,374,335,861,876,924,518,449,873,689,993,
826,225,821,818,614,600,405,765,973,157,536,900,895,719,317,126,670,128,923,
579,755,886,601,235,530,608,353,977,210,119,373,188,070,183,624,836,494,667,
425,492,842,867,431,224,848,096,540,588,491,580,530,121,720,788,016,599,016,
547,231,137,420,374,716,236,069,011,641,551,369,576,621,115,465,543,617,259,
925,560,995,207,866,589,060,967,080,052,775,435,992,577,218,101,018,168,103,
853,968,296,503,337,872,163,861,231,051,407,054,296,946,025,491,991,834,666,
901,116,723,419,783,004,329,635,083,876,019,457,097,503,542,051,139,590,940,
025,157,873,975,337,668,028,771,572,547,790,466,561,591,901,503,693,513,419,
489,903,175,143,372,845,847,445,577,181,194,542,725,602,150,719,839,154,815,
503,938,656,144,512,326,270,026,291,473,337,463,058,936,657,607,553,405,698,
670,543,060,548,096,894,590,563,102,500,049,847,627,616,282,030,220,571,855,
100,091,088,484,496,308,943,058,287,544,277,384,446,303,347,192,554,994,053,
300,195,512,204,077,229,108,558,441,345,766,140,829,581,991,948,761,274,460,
991,737,997,938,778,705,526,662,212,044,958,831,328,622,772,897,766,023,391,
021,415,587,636,123,825,773,715,190,368,613,214,030,619,406,994,026,247,798,
903,292,238,069,709,814,277,376,637,935,394,611,429,811,785,434,402,164,800,
128,940,133,094,117,558,366,180,740,421,034,735,445,832,286,777,084,127,534,
448,569,802,274,571,295,895,862,115,094,448,488,012,288,626,398,876,364,886,
003,372,617,853,226,751,333,932,131,417,521,587,617,758,137,709,289,058,982,
268,845,013,128,681,592,855,742,568,402,046,403,238,763,254,922,972,900,096,
419,325,646,148,897,064,164,856,618,435,475,717,482,337,904,030,482,609,079,
696,957,545,852,467,231,566,345,407,539,829,794,870,740,073,406,338,644,924,
955,624,754,162,465,736,700,857,449,345,452,644,907,915,935,931,858,792,920,
281,140,634,831,265,186,439,921,320,737,438,067,846,147,909,469,919,251,133,
527,933,451,452,298,982,067,403,764,815,426,222,095,902,974,909,350,141,559,
384,171,382,945,182,156,540,816,738,034,082,506,848,606,690,501,664,689,264,
182,797,510,103,019,275,736,385,963,678,090,669,101,769,559,368,528,706,211,
554,869,276,336,620,045,110,952,317,245,950,797,053,773,032,208,757,003,288,
394,370,383,753,683,355,866,239,482,969,555,336,682,254,910,890,394,156,899,
733,787,693,806,592,435,413,670,961,226,210,871,265,311,070,470,024,269,289,
946,137,269,172,946,903,337,563,669,625,492,772,656,429,498,595,564,939,910,
366,865,371,433,975,857,279,538,434,655,465,615,348,276,650,226,376,312,679,
705,646,438,983,035,610,081,510,107,587,309,877,514,840,467,520,941,973,979,
716,944,609,914,343,410,441,355,592,289,249,864,820,358,817,649,746,318,638,
224,744,563,107,382,820,242,066,491,433,103,881,561,793,987,160,903,028,829,
406,668,775,963,370,536,667,614,111,669,490,118,070,501,844,486,274,183,700,
119,547,737,338,493,831,144,154,708,785,851,351,655,469,774,050,242,452,857,
531,339,748,546,698,409,181,222,961,485,949,489,694,130,665,777,373,917,011,
384,046,900,215,109,928,234,635,024,760,030,585,519,465,933,035,463,594,555,
490,257,745,155,474,499,101,010,532,660,625,916,040,577,046,583,303,006,365,
584,935,589,571,489,581,435,197,268,412,984,869,271,629,033,715,358,442,046,
121,955,481,599,532,249,855,766,892,150,256,499,488,664,008,598,866,313,466,
926,062,068,823,042,472,592,526,720,736,634,944,589,258,958,844,401,756,600,
038,116,445,310,005,309,214,987,565,841,437,128,181,167,461,008,567,531,566,
511,064,048,504,048,631,240,727,942,260,267,239,582,117,510,599,128,924,716,
176,162,518,162,267,291,187,967,148,187,392,264,678,907,611,817,682,979,805,
719,151,942,891,127,203,823,655,778,970,994,774,495,537,697,152,668,731,004,
839,011,868,998,238,895,703,463,325,944,151,110,042,471,574,684,900,516,928,
771,619,538,385,428,831,056,083,975,887,357,476,076,066,770,740,772,854,784,
255,961,797,702,422,842,079,972,419,559,124,713,765,255,951,204,186,631,325,
011,267,909,024,854,978,532,527,963,117,492,804,454,478,425,038,543,705,109,
980,500,387,718,239,518,651,043,377,860,955,783,496,389,905,240,009,808,914,
742,023,020,282,186,011,566,572,281,464,047,825,676,619,737,732,442,296,921,
951,891,162,018,856,593,318,751,265,036,530,011,537,904,658,156,757,141,276,
231,104,675,080,333,907,407,715,412,819,089,887,611,689,615,884,012,714,125,
818,078,352,632,205,914,912,090,214,618,600,624,381,477,768,119,502,007,824,
883,500,895,086,958,865,892,525,847,803,353,621,509,345,941,827,965,029,702,
018,536,698,592,093,719,366,717,685,048,320,368,467,090,550,065,093,582,485,
023,322,341,261,707,852,788,917,100,783,151,216,384,580,137,595,071,924,782,
701,676,967,167,274,510,240,931,720,449,692,626,523,092,466,905,803,635,353,
039,618,869,957,532,392,177,897,339,863,146,437,036,932,300,046,819,515,466,
553,558,823,414,362,716,043,333,297,789,359,450,938,590,302,371,120,698,794,
479,408,484,562,089,590,247,334,923,351,701,294,155,590,227,992,893,926,077,
939,400,075,818,769,166,721,058,913,237,733,000,391,247,844,362,672,043,953,
085,619,912,544,853,389,800,810,959,777,819,326,038,776,790,522,937,217,158,
042,297,118,259,717,558,786,745,261,926,299,228,850,657,417,283,879,406,494,
228,054,379,768,464,230,083,669,998,270,500,299,122,958,191,929,997,499,049,
010,264,388,538,403,981,645,065,782,863,497,921,361,345,179,190,826,209,222,
948,767,396,938,463,494,375,366,610,171,867,339,215,590,533,111,407,535,072,
533,362,112,430,576,140,082,913,079,775,607,366,377,857,696,549,033,440,791,
015,660,089,202,949,736,699,433,997,550,123,692,142,741,941,278,509,302,802,
671,206,572,781,558,595,759,375,390,250,757,767,340,958,764,072,319,278,054,
619,946,760,638,210,806,027,317,171,142,368,118,004,070,453,598,416,828,177,
810,937,300,647,663,849,488,977,962,365,129,377,895,198,923,322,214,694,662,
859,610,164,610,181,402,433,082,360,342,932,712,747,176,287,012,989,700,118,
455,637,669,675,596,727,913,545,277,238,015,117,382,642,866,705,625,439,365,
283,854,067,530,254,101,209,085,853,596,083,085,452,231,880,205,343,125,826,
360,532,206,450,339,878,867,940,267,535,492,597,426,913,645,850,913,794,370,
337,282,445,373,194,209,572,034,595,493,252,188,526,212,088,292,434,004,859,
225,242,601,902,402,526,163,598,411,108,839,248,764,278,991,888,086,755,758,
415,268,258,349,776,893,666,794,624,082,606,177,004,751,966,170,786,245,975,
924,086,969,748,961,249,955,449,236,518,769,791,522,530,757,566,190,865,199,
679,087,569,060,329,342,148,207,418,532,284,766,160,677,975,024,942,567,209,
026,839,051,881,747,647,101,383,342,281,555,820,563,607,727,404,951,632,582,
528,245,040,363,935,050,466,214,448,372,797,337,105,994,904,955,675,093,232,
681,727,895,055,276,049,245,936,377,162,023,734,117,841,524,548,049,920,957,
374,978,591,021,346,498,115,185,252,680,307,062,701,119,494,665,153,922,129,
482,315,602,421,866,666,771,102,321,926,010,192,491,343,348,600,130,955,555,
906,990,923,336,898,955,574,370,644,840,315,970,188,468,734,070,329,331,126,
923,032,708,611,992,853,896,041,893,060,683,683,198,596,071,603,070,443,864,
556,212,537,212,607,414,594,251,050,576,150,301,087,827,155,411,457,503,354,
108,560,464,682,155,649,586,955,525,027,526,655,797,723,992,133,435,985,120,
241,595,754,268,520,969,319,907,143,813,643,885,121,777,485,790,314,904,934,
266,662,651,737,541,118,837,688,239,695,938,026,408,833,884,187,958,556,472,
338,244,846,468,026,054,395,541,484,410,772,049,985,609,856,990,954,798,455,
065,860,178,222,918,282,762,049,841,129,415,481,488,929,690,831,004,596,663,
058,040,356,258,075,696,542,362,468,775,605,505,946,788,301,113,547,805,558,
594,800,369,555,144,813,718,916,793,558,523,519,298,554,473,907,868,164,646,
440,787,811,031,354,924,668,480,171,640,163,416,759,383,113,730,086,023,353,
015,796,376,601,015,245,753,540,905,721,968,374,105,428,825,115,606,441,329,
550,171,604,833,312,608,151,589,325,203,756,349,580,783,526,239,463,959,743,
389,691,104,446,008,396,145,126,521,898,237,961,104,959,284,652,870,031,354,
418,520,503,036,248,563,007,054,056,234,076,950,214,987,096,394,667,616,173,
850,852,518,627,916,916,350,565,976,428,139,859,358,070,061,830,077,358,809,
060,369,155,033,868,435,242,615,302,318,021,180,357,890,444,560,240,577,592,
508,315,081,649,489,837,239,114,862,868,802,935,568,281,087,843,682,196,832,
418,875,550,086,728,537,317,509,794,576,839,113,118,142,347,963,151,402,832,
853,115,655,258,070,996,476,832,742,891,929,283,361,226,632,957,843,015,918,
233,334,327,985,746,568,264,859,710,073,171,866,783,495,287,848,188,159,733,
954,479,463,772,308,629,472,937,456,125,123,943,570,318,492,080,915,308,150,
829,683,038,463,547,924,977,395,154,092,943,902,010,496,964,595,182,825,532,
402,037,552,321,339,800,781,751,227,664,039,167,956,378,017,765,148,884,326,
750,500,446,112,101,534,518,661,655,771,928,143,343,524,506,582,328,484,790,
627,310,892,442,752,839,921,477,720,306,668,093,714,939,053,389,341,073,160,
154,060,945,757,254,934,884,978,000,449,060,941,408,472,738,321,849,726,306,
941,628,823,998,224,259,935,419,341,469,542,123,165,164,968,803,650,372,175,
128,913,780,959,332,283,508,427,117,825,190,204,385,870,567,697,419,129,709,
135,024,406,827,360,702,944,607,525,881,278,979,363,247,640,457,267,853,134,
754,683,547,105,801,568,156,337,062,932,458,339,550,901,084,613,823,249,609,
663,599,998,886,976,355,132,194,560,717,788,846,035,220,634,613,684,992,092,
487,109,028,537,527,111,360,102,124,575,938,338,116,160,470,373,576,541,194,
128,918,167,652,792,130,370,117,291,120,658,334,839,732,717,416,296,452,019,
194,202,328,689,985,140,986,754,186,121,692,390,127,225,072,334,286,004,817,
368,529,210,928,988,086,205,487,325,117,264,685,254,112,710,102,773,064,421,
353,593,726,308,216,691,706,506,478,874,607,945,035,751,942,257,770,000,353,
917,293,813,650,643,947,297,175,608,300,373,244,207,363,487,617,247,730,391,
408,624,101,360,054,065,685,944,411,495,094,552,796,912,031,946,614,407,997,
967,389,256,229,244,895,617,574,406,868,630,639,791,870,001,631,715,542,649,
006,437,560,439,891,629,891,791,198,030,634,048,216,531,514,507,208,938,064,
132,008,955,666,052,899,687,959,493,253,524,122,348,779,795,494,143,501,085,
245,440,426,200,717,887,777,958,786,004,123,786,754,047,157,766,277,566,176,
695,482,443,040,733,449,997,547,651,072,944,828,627,162,102,133,029,008,788,
268,237,243,462,406,777,978,807,402,058,439,412,492,734,516,795,654,629,096,
479,172,339,446,461,724,642,820,073,254,390,029,755,717,098,186,277,605,092,
382,869,592,384,104,069,256,912,403,577,600,659,696,248,903,232,035,048,759,
316,094,656,958,388,963,161,479,108,511,147,000,064,909,107,844,904,948,193,
841,852,650,914,916,463,965,577,076,732,758,963,864,989,104,819,935,676,549,
989,314,627,244,203,961,476,780,058,370,170,601,459,147,757,982,099,338,290,
339,254,127,973,870,396,037,582,387,145,315,577,113,029,781,575,360,567,182,
225,067,327,771,469,242,966,751,757,484,297,841,233,029,090,991,965,537,879,
363,519,708,480,557,361,988,881,640,942,736,334,937,634,316,428,429,504,040,
921,063,515,375,902,073,620,692,282,510,696,601,063,098,304,480,674,311,765,
655,910,784,718,948,479,325,894,318,991,954,802,813,158,327,135,520,418,145,
732,639,362,663,426,789,702,469,071,135,669,320,566,924,746,982,940,403,741,
220,291,691,009,193,845,678,685,891,286,968,672,189,941,576,127,098,913,036,
318,679,214,145,559,819,236,338,282,859,931,663,410,394,862,971,539,666,851,
846,598,444,267,898,327,803,609,396,865,559,836,194,042,248,880,838,905,460,
087,081,291,458,079,900,286,218,699,692,783,269,726,705,582,085,228,098,292,
534,485,403,989,081,831,898,882,040,759,064,421,090,584,759,554,848,236,088,
240,680,978,630,721,888,450,542,565,040,595,125,973,952,693,355,234,163,304,
429,186,362,034,142,977,021,621,453,338,175,504,646,530,679,823,530,546,834,
870,801,636,062,837,104,164,321,142,096,715,266,030,305,057,602,693,767,548,
111,408,080,547,004,112,416,646,672,296,575,857,730,914,908,859,566,310,169,
053,472,841,477,100,013,340,099,703,364,876,150,906,193,537,464,040,212,228,
757,659,550,121,733,834,264,715,315,021,001,071,513,776,296,800,897,404,344,
252,632,159,650,080,628,497,333,197,819,026,225,198,207,176,652,784,666,753,
967,590,000,018,851,112,703,332,932,465,048,852,546,128,546,394,526,648,236,
335,768,618,981,050,717,143,921,851,053,505,020,962,269,349,129,144,817,881,
959,211,473,521,588,289,315,964,499,382,265,880,383,654,550,809,566,113,656,
570,712,434,873,119,869,895,665,781,127,005,646,489,520,417,578,562,232,996,
588,178,079,535,747,342,027,484,551,141,786,571,860,128,818,915,855,007,846,
516,718,918,145,026,461,057,364,712,835,617,106,579,607,364,580,381,258,997,
200,241,557,888,917,530,212,156,965,812,970,547,000,812,727,754,808,871,608,
484,828,180,336,438,757,853,375,794,382,913,153,584,987,632,900,528,101,465,
917,309,101,234,304,932,549,846,945,627,479,636,997,372,022,760,195,132,107,
153,518,802,527,519,480,163,865,806,895,803,156,190,115,724,049,613,361,972,
678,239,941,411,037,210,760,991,095,738,831,065,045,100,971,540,739,525,145,
813,767,875,825,499,276,156,312,100,159,708,567,025,133,983,257,267,578,113,
568,448,917,058,430,740,796,202,066,687,399,351,030,239,647,172,714,323,913,
657,640,634,259,284,712,654,723,162,615,084,169,244,595,825,441,067,065,023,
289,561,412,956,677,050,520,314,260,791,082,935,408,489,001,793,483,467,601,
067,248,092,625,888,903,798,302,309,595,614,579,773,506,979,774,014,855,901,
927,114,733,219,869,681,829,237,101,423,674,342,554,225,028,787,812,510,710,
699,768,862,854,124,506,544,227,778,976,154,221,338,315,162,749,461,284,532,
665,133,874,116,679,071,600,463,612,193,198,563,976,687,725,186,008,571,643,
596,717,560,241,332,315,782,849,273,320,378,084,785,725,894,523,850,955,347,
180,190,220,156,149,058,946,533,631,124,296,573,089,245,528,530,592,302,524,
306,411,926,905,668,873,736,615,927,761,079,119,735,699,418,339,122,465,349,
534,733,421,771,960,908,650,287,783,256,704,075,532,038,068,233,276,711,703,
634,843,071,473,926,247,899,993,036,054,201,013,046,240,607,965,960,769,370,
204,849,720,858,695,986,226,357,360,151,285,176,310,355,073,301,880,895,328,
312,178,261,602,780,931,918,777,970,100,946,934,768,322,239,377,970,821,191,
830,379,525,461,803,927,073,891,439,722,195,417,711,235,041,341,333,396,348,
927,763,867,540,631,755,057,103,109,214,468,388,441,715,176,979,801,571,843,
527,010,011,155,956,122,901,801,859,375,705,147,091,520,408,735,313,195,848,
115,325,309,521,797,636,701,515,803,501,811,194,830,919,436,592,583,535,469,
661,771,267,308,529,958,960,176,770,099,659,502,955,280,578,458,504,853,168,
390,899,754,004,343,739,622,896,684,855,855,716,438,327,085,269,062,952,097,
576,677,036,567,957,455,669,010,993,002,845,223,352,917,193,280,306,299,690,
213,773,916,450,140,500,394,358,929,449,433,566,807,652,731,838,732,030,589,
733,850,385,403,037,919,655,710,781,027,773,836,114,148,378,014,555,535,654,
631,936,309,683,796,297,046,181,146,270,893,682,730,857,471,952,770,546,897,
840,494,198,252,687,294,336,019,258,522,449,211,012,928,022,907,123,943,718,
737,196,336,646,657,751,219,329,018,382,368,056,136,864,022,218,230,852,731,
374,229,129,530,622,992,468,809,325,809,686,719,819,796,348,203,436,775,483,
095,326,196,696,606,381,431,686,434,606,564,720,601,679,329,007,714,467,046,
759,706,607,091,125,491,576,815,356,292,191,580,464,542,574,005,788,947,776,
549,217,377,644,081,440,233,748,322,710,019,062,791,674,490,395,115,188,855,
753,250,407,221,467,333,235,379,757,718,407,292,270,560,686,464,857,366,884,
048,375,421,322,455,966,689,968,570,607,366,071,215,906,691,221,784,722,907,
908,141,069,605,357,569,339,058,789,768,496,106,195,345,411,118,555,899,868,
751,164,467,133,079,643,008,359,388,261,498,871,091,052,962,231,985,857,199,
540,641,880,748,690,972,759,329,700,368,283,855,761,845,450,200,289,727,984,
146,134,624,237,979,936,346,217,421,362,625,048,165,545,056,556,961,495,868,
845,017,029,796,849,542,962,518,500,280,662,639,806,285,361,276,381,377,116,
181,341,287,676,525,337,486,953,018,571,542,130,823,176,282,086,715,281,318,
388,427,265,871,941,967,945,260,854,889,500,132,670,556,064,389,136,836,121,
628,435,032,784,215,422,546,871,458,434,255,312,188,067,184,718,354,211,900,
275,949,306,794,714,599,028,182,387,490,120,513,017,330,952,285,009,585,214,
300,973,350,027,237,667,927,864,967,909,198,607,292,669,681,962,271,778,131,
722,665,866,543,070,281,460,385,755,171,331,272,683,822,012,808,170,303,017,
006,330,750,893,096,744,742,520,715,386,172,721,318,365,574,403,375,860,585,
624,017,561,378,436,133,877,705,048,630,113,406,376,112,447,307,980,845,220,
589,506,790,909,309,539,995,831,786,204,637,235,110,155,145,864,636,533,967,
208,123,808,795,399,430,730,271,620,607,523,638,955,539,498,468,645,163,541,
909,547,400,758,169,383,648,359,501,776,428,908,829,651,412,438,088,299,167,
479,805,140,143,537,392,537,624,716,532,501,992,806,387,768,066,913,843,495,
403,459,794,710,166,326,767,509,259,952,333,362,758,489,082,009,814,717,181,
174,541,073,977,510,303,992,569,836,531,344,237,120,991,430,400,402,728,447,
489,577,832,295,215,182,894,003,520,608,654,182,479,280,487,749,162,397,825,
413,754,201,260,235,006,635,303,205,630,378,762,704,551,155,333,143,681,718,
224,692,314,680,182,468,241,349,607,030,826,977,951,844,405,520,297,831,153,
579,591,855,762,468,328,762,242,973,058,329,817,779,517,405,486,148,352,490,
987,868,808,084,335,165,463,931,702,401,218,122,610,318,043,641,235,781,365,
682,633,099,577,632,204,648,028,931,727,430,972,843,536,204,189,735,371,223,
316,962,010,966,670,524,294,629,822,417,509,316,306,524,045,485,647,208,396,
160,882,392,198,119,510,147,113,086,996,570,831,163,498,339,506,669,891,166,
124,813,000,698,076,825,239,742,085,661,403,949,124,646,645,039,366,377,066,
536,511,065,440,317,096,480,759,566,254,497,408,077,377,023,893,863,633,246,
572,482,340,346,936,203,215,447,935,884,232,145,035,830,097,115,131,191,979,
392,198,597,267,560,665,704,959,416,853,242,365,035,318,237,618,125,679,978,
594,729,614,321,759,000,556,799,309,252,725,908,597,214,604,332,937,754,977,
608,290,981,608,128,849,293,457,787,790,586,327,413,694,709,219,840,352,214,
351,452,990,314,228,179,035,853,498,253,809,130,739,337,690,519,860,435,596,
033,996,377,307,481,152,046,154,994,451,490,237,188,385,618,544,745,874,126,
897,931,194,800,053,928,112,894,869,390,306,225,172,454,590,121,748,123,876,
426,250,625,363,463,066,379,458,870,277,448,664,533,908,352,634,618,068,016,
342,294,217,000,331,647,718,719,847,827,645,856,554,247,454,485,005,309,645,
579,028,599,919,951,926,405,106,412,319,805,858,723,195,194,803,074,248,648,
791,167,504,357,051,126,643,445,209,306,204,373,108,624,100,908,995,771,390,
321,852,700,710,290,550,763,224,071,668,036,944,861,420,330,979,191,208,174,
027,688,870,925,441,779,842,945,942,923,907,845,239,223,019,904,422,190,741,
185,972,872,753,452,648,447,171,781,236,054,064,347,328,788,351,855,658,577,
428,055,980,014,939,910,960,787,588,657,202,777,815,208,889,678,657,317,259,
851,791,394,554,656,342,689,356,131,537,755,129,345,076,270,618,517,729,791,
965,968,719,651,659,838,206,557,866,823,212,775,090,585,925,504,115,922,620,
446,182,680,832,813,701,040,592,436,588,245,724,062,536,881,144,178,406,170,
014,267,120,262,819,230,025,641,201,222,957,583,240,230,826,544,763,103,616,
222,778,265,955,426,431,005,933,494,266,513,580,134,260,171,865,800,044,124,
421,922,291,096,226,387,374,967,491,306,186,371,930,811,282,019,566,313,678,
405,051,567,954,566,033,108,471,053,754,841,784,641,370,264,169,176,055,530,
619,506,088,803,323,472,638,825,637,644,618,129,075,464,580,272,228,297,913,
091,502,916,241,030,722,397,754,261,886,229,773,931,159,798,751,485,546,706,
872,743,047,227,745,151,101,642,822,395,729,156,205,918,743,817,579,182,404,
160,571,701,798,026,636,370,959,435,906,219,398,039,603,315,273,627,545,918,
092,955,007,707,492,468,512,920,905,743,818,707,340,444,642,010,638,958,012,
900,672,167,162,546,263,940,343,790,332,259,231,021,727,433,294,049,905,437,
500,453,199,920,447,384,198,149,024,977,686,508,286,961,856,009,481,665,297,
746,751,305,396,728,966,225,710,754,362,616,708,895,614,154,133,813,534,228,
052,384,124,787,713,913,191,148,694,862,264,091,909,993,633,334,147,031,480,
325,231,987,447,321,353,693,976,122,276,212,503,817,125,792,126,552,960,372,
638,099,737,975,639,396,991,549,668,459,833,676,959,830,286,124,080,762,052,
298,967,323,950,057,885,391,864,203,288,329,303,566,912,982,590,565,663,868,
595,228,983,448,723,377,517,505,279,165,579,415,251,184,989,306,297,341,715,
711,199,417,095,121,260,925,103,741,287,628,986,052,396,515,654,337,938,969,
127,956,265,290,598,366,782,239,316,949,913,217,065,916,136,943,975,606,426,
909,341,463,748,220,557,591,483,654,929,521,053,104,056,503,269,769,340,764,
847,460,925,898,300,954,795,750,329,462,424,257,089,464,717,101,911,858,975,
101,479,456,706,720,969,890,739,254,066,671,813,109,986,207,889,980,806,511,
045,797,192,529,334,459,614,654,928,224,427,074,176,434,192,607,370,150,451,
756,592,362,664,434,227,569,802,647,497,349,693,987,713,854,127,754,776,462,
058,274,180,072,200,641,255,245,160,660,902,124,970,602,661,961,344,769,370,
660,881,745,701,993,218,801,136,910,285,615,620,691,273,274,716,469,603,793,
967,569,162,406,470,105,117,330,881,659,549,779,134,256,557,380,908,792,393,
034,125,238,987,515,984,294,583,822,315,452,145,758,923,278,856,816,886,497,
528,491,529,649,554,962,626,840,945,174,856,415,296,227,524,878,103,551,161,
785,970,678,974,643,439,784,343,543,589,951,054,520,273,127,138,333,003,320,
471,829,865,867,158,081,836,554,450,705,832,125,592,244,439,673,411,158,279,
117,651,346,463,748,716,101,894,074,134,690,291,207,652,566,801,363,867,211,
210,262,860,842,489,619,130,535,676,925,147,379,290,189,683,316,218,580,991,
915,437,605,732,418,780,404,078,576,805,530,389,255,250,906,790,281,144,292,
326,857,402,101,082,314,226,043,436,634,551,272,453,605,236,472,031,690,984,
948,231,055,498,793,515,972,486,788,653,764,230,651,298,390,957,106,948,130,
805,839,383,483,093,847,816,250,883,009,419,108,510,210,869,351,942,088,139,
038,267,079,340,006,420,317,679,151,768,503,941,482,510,549,526,481,609,839,
290,063,231,603,960,600,796,848,593,684,749,081,638,221,244,117,066,422,861,
342,579,430,713,136,328,999,284,730,302,895,413,059,309,845,424,707,361,386,
007,570,618,115,769,805,861,303,830,421,453,146,692,197,413,373,598,486,481,
244,877,489,638,561,164,666,685,352,258,410,828,215,149,193,586,917,617,187,
667,225,289,464,061,306,579,017,207,451,155,308,282,432,154,239,302,940,055,
483,015,282,414,052,310,372,606,653,821,034,298,411,578,878,754,741,159,418,
026,813,572,059,264,324,253,708,027,608,022,071,451,863,937,179,593,472,942,
252,918,085,835,920,376,628,741,449,469,701,780,258,964,098,283,924,081,376,
549,025,826,512,903,408,710,975,495,672,469,348,992,456,712,085,214,907,376,
555,142,556,067,935,276,057,297,394,098,064,912,111,281,054,472,668,782,282,
294,395,154,733,348,164,964,687,656,259,473,087,167,957,987,586,156,019,096,
646,366,154,019,569,877,511,791,045,088,171,463,732,294,819,624,464,450,400,
022,729,980,035,930,513,558,998,815,741,364,136,717,761,696,108,034,136,984,
772,953,002,058,749,433,471,055,681,564,252,570,355,988,160,007,364,332,656,
420,089,659,798,624,296,883,183,863,470,848,339,844,762,155,964,752,461,317,
911,230,962,750,498,904,945,923,252,445,533,889,362,040,996,616,297,259,654,
340,941,423,117,769,233,185,020,164,016,246,814,934,393,375,865,596,456,916,
893,286,783,757,754,074,368,251,336,260,255,610,842,033,684,571,806,933,776,
528,394,166,827,758,996,127,322,041,821,948,489,524,297,131,883,491,469,989,
327,429,750,173,335,196,320,279,473,818,322,887,524,087,105,673,895,893,858,
251,091,428,094,119,335,083,181,244,530,251,587,219,493,882,606,857,104,748,
361,526,476,921,040,835,353,077,848,575,928,259,802,331,847,958,412,861,070,
127,037,533,586,880,601,049,252,508,110,377,166,544,006,414,191,665,760,187,
057,349,663,713,886,603,120,634,936,584,464,820,438,881,237,234,294,311,178,
004,271,065,394,748,398,725,339,706,553,482,407,620,979,609,269,637,941,221,
256,033,372,726,291,070,424,228,994,376,767,365,850,397,939,788,626,949,474,
601,260,481,125,848,437,821,709,311,847,347,016,559,145,098,768,150,447,912,
948,450,776,447,099,005,610,101,552,107,255,257,474,548,333,982,933,484,409,
265,493,774,237,667,888,095,374,375,182,281,370,200,201,551,655,671,840,198,
934,764,643,323,544,008,017,178,647,954,841,968,209,067,401,921,931,828,847,
397,400,395,428,379,104,842,286,443,769,213,022,726,737,018,058,205,534,729,
867,380,213,839,503,613,440,551,417,393,577,157,594,922,707,405,222,015,966,
724,532,445,770,984,915,226,038,327,873,298,793,203,766,049,856,718,174,636,
836,004,091,961,314,239,761,835,276,778,437,701,103,148,277,129,069,665,244,
883,392,708,018,698,422,474,604,510,934,585,807,930,873,274,267,065,697,707,
342,460,676,467,970,653,431,537,414,963,474,258,908,594,138,981,825,956,082,
990,339,865,071,866,593,128,348,928,777,699,688,927,161,897,875,187,401,245,
099,479,991,347,583,694,415,351,255,260,163,323,364,114,798,550,487,664,045,
977,817,117,949,771,783,884,689,945,661,349,956,723,202,041,467,765,796,079,
137,177,335,872,901,994,021,626,055,164,400,579,642,393,854,692,236,211,684,
140,435,359,067,536,678,850,272,974,336,032,458,663,199,509,471,627,107,533,
157,422,419,647,773,749,024,969,964,531,152,081,088,534,747,940,870,885,761,
417,718,040,951,075,949,104,499,228,309,227,273,814,249,089,156,814,980,299,
765,112,382,651,850,275,419,143,108,241,496,327,580,292,251,022,552,970,185,
452,457,393,639,520,513,265,729,049,220,308,938,572,135,605,489,151,917,308,
113,414,387,113,282,157,387,657,327,636,864,947,456,008,119,242,509,445,860,
034,563,396,532,537,388,463,073,436,799,729,737,197,411,331,144,167,677,842,
735,158,397,209,023,245,754,619,139,005,998,845,256,690,171,376,950,606,616,
867,625,489,783,407,347,954,008,385,957,779,385,175,196,540,684,227,417,145,
547,782,403,560,268,356,961,931,274,793,061,226,754,877,479,243,490,877,412,
659,713,872,043,002,470,570,136,684,116,822,284,697,085,478,492,377,916,012,
977,964,736,894,687,208,640,559,155,726,215,050,814,909,019,874,412,998,644,
411,089,457,431,771,168,425,932,704,740,549,670,914,618,576,103,387,857,966,
121,927,440,873,855,323,571,551,579,849,559,294,177,422,568,848,064,700,904,
716,289,278,906,542,204,794,445,376,405,988,555,948,970,401,108,788,578,021,
339,051,632,740,120,187,883,189,361,794,467,337,240,668,822,156,809,256,338,
010,253,494,953,219,148,033,987,459,956,136,505,327,310,733,767,384,876,339,
479,003,831,977,928,071,824,900,609,612,296,546,075,510,258,803,055,575,415,
623,226,708,223,221,449,368,076,901,069,617,836,330,219,121,574,554,909,776,
662,797,750,618,378,647,435,165,011,715,426,991,857,372,109,787,427,737,176,
128,155,282,935,724,696,469,244,184,669,115,926,006,507,586,159,594,365,441,
859,011,093,482,650,098,346,886,011,164,795,198,499,632,051,504,406,754,359,
613,119,029,986,755,357,568,053,986,410,019,659,899,247,098,169,229,921,303,
141,663,506,292,640,170,307,477,074,789,978,833,342,006,842,599,089,992,778,
652,038,056,391,824,910,716,444,296,213,095,409,937,213,055,329,576,077,987,
199,759,627,452,876,796,934,596,432,072,154,179,845,088,929,933,167,722,824,
719,824,471,559,127,398,854,538,265,500,910,622,077,451,029,248,592,636,767,
744,721,362,295,818,656,659,483,346,869,470,981,013,312,806,340,279,164,640,
347,641,997,029,246,274,580,442,563,281,914,952,802,696,307,346,347,203,365,
144,848,963,124,029,406,335,049,794,466,380,835,374,882,973,351,249,890,548,
045,842,487,157,918,926,929,477,657,209,468,761,297,040,681,855,635,955,371,
164,597,624,055,263,477,521,854,612,342,035,801,230,592,299,254,480,942,152,
620,207,413,025,126,703,058,554,714,559,992,841,533,786,149,517,122,035,975,
800,924,520,128,301,562,046,977,102,905,291,554,406,878,108,027,699,432,796,
929,171,354,689,989,936,137,264,712,536,396,905,357,454,419,697,576,184,460,
342,643,351,957,351,615,876,732,620,955,630,340,174,732,380,519,523,545,766,
457,813,720,684,642,253,207,888,131,642,288,939,100,901,767,451,258,434,223,
926,543,379,179,993,235,203,433,181,205,067,601,374,585,741,140,159,068,115,
118,966,984,570,826,943,284,083,303,444,176,754,315,279,334,527,414,315,342,
482,456,415,948,077,033,015,350,571,270,029,548,289,527,137,918,945,862,061,
346,415,288,500,167,917,642,077,131,063,069,144,934,465,686,280,876,769,325,
958,554,436,753,426,048,373,510,867,542,029,979,137,893,926,480,221,838,323,
995,445,885,395,524,452,542,973,730,409,181,985,710,523,055,828,150,723,302,
547,569,014,486,709,220,346,019,626,249,845,852,482,790,515,062,895,626,386,
736,990,393,122,770,055,284,821,551,791,880,940,651,659,926,478,517,081,537,
061,557,238,415,849,031,143,641,163,653,203,152,214,204,207,247,918,477,433,
871,193,782,277,801,415,855,016,346,090,073,965,333,365,288,866,991,705,991,
058,259,397,845,563,529,683,666,881,946,345,093,787,329,196,496,438,620,240,
486,030,435,643,644,946,850,867,638,250,227,054,501,599,852,054,075,146,132,
230,989,855,237,548,718,064,122,400,323,390,193,011,567,339,972,439,461,318,
337,738,408,090,416,682,772,270,419,545,084,039,504,735,288,319,550,993,249,
528,479,812,347,880,185,769,791,431,795,072,637,152,438,269,997,134,820,135,
388,751,792,903,337,255,510,140,182,598,213,408,454,311,887,831,156,209,659,
336,343,814,451,142,325,969,511,314,428,761,659,862,816,394,375,001,884,436,
186,111,890,253,836,776,452,382,594,714,405,190,734,545,564,484,300,855,515,
060,665,106,359,205,623,998,464,336,298,256,668,422,785,756,048,832,779,006,
688,613,364,841,068,437,217,031,172,200,695,297,010,181,357,790,444,951,230,
142,337,275,017,289,989,508,902,614,408,401,414,050,531,014,805,365,191,246,
976,442,230,603,506,347,115,066,838,649,618,150,225,926,247,192,844,978,534,
797,760,604,629,845,028,904,035,678,323,655,179,585,637,750,782,216,288,326,
713,949,293,108,176,252,784,337,475,687,141,351,160,105,206,407,926,743,588,
513,481,719,610,193,881,582,246,978,949,825,754,108,495,762,972,968,189,402,
413,571,961,347,838,346,074,599,153,578,746,572,986,013,901,499,478,842,401,
071,704,480,589,648,635,779,328,630,954,493,488,052,268,276,981,007,283,938,
249,303,907,494,361,144,361,816,185,151,242,297,231,338,797,199,147,307,812,
890,252,816,151,784,098,455,735,422,045,739,739,755,324,729,160,113,407,669,
908,097,003,901,254,520,967,028,225,860,910,980,624,106,065,696,272,439,607,
223,459,801,580,957,566,680,527,757,989,263,630,165,610,407,026,026,935,547,
442,081,203,527,247,662,584,779,847,162,134,725,279,640,652,571,928,685,507,
447,319,977,230,000,978,955,136,712,374,554,373,267,214,987,741,084,919,658,
929,443,281,196,669,526,125,973,726,889,272,118,562,673,241,240,072,125,174,
689,141,826,206,674,509,741,967,036,336,117,101,447,644,763,774,900,965,089,
527,132,313,312,608,205,913,247,324,882,976,141,010,780,976,580,566,133,492,
568,368,886,611,195,795,197,440,697,443,704,437,653,680,094,485,429,212,922,
489,691,424,644,065,262,319,815,974,191,632,083,748,705,450,399,792,136,406,
015,320,242,862,195,741,024,506,374,286,442,716,930,848,212,482,616,024,823,
772,359,971,886,490,970,601,965,194,462,724,168,396,858,695,581,091,328,121,
693,346,491,501,275,275,880,136,256,935,721,154,494,057,887,156,977,337,748,
290,620,935,857,914,270,122,517,126,698,945,691,830,547,894,538,295,471,300,
439,689,389,779,046,647,938,886,605,039,694,443,448,857,153,268,517,345,060,
506,848,778,792,897,997,339,866,697,644,502,760,068,995,297,175,692,288,264,
485,950,088,332,897,076,437,802,945,399,940,813,270,479,869,286,831,596,459,
112,735,135,010,706,874,347,797,503,198,814,456,144,065,727,971,506,409,198,
790,932,937,461,780,279,977,121,128,581,487,838,699,550,510,188,926,620,773,
218,066,779,960,371,218,737,816,561,826,121,474,417,532,796,954,128,544,621,
370,785,340,150,603,499,175,915,698,276,708,796,441,963,214,210,367,459,874,
481,538,881,330,399,316,496,148,431,108,452,344,222,199,057,492,987,712,872,
519,585,348,045,006,487,724,540,827,253,942,781,202,407,483,906,187,058,361,
974,677,999,829,709,947,581,599,051,893,587,568,981,116,650,502,173,471,642,
576,291,991,192,704,155,984,845,523,067,261,061,337,215,735,230,671,536,624,
508,543,065,746,307,834,226,444,645,180,116,811,098,848,081,953,845,872,437,
850,241,777,977,263,655,665,579,452,684,405,214,428,642,385,973,778,546,108,
131,877,565,188,532,104,153,552,740,297,877,244,486,226,165,523,216,310,203,
329,311,008,809,756,164,392,708,744,786,699,977,956,610,220,966,501,161,001,
674,867,775,756,888,058,602,758,654,474,350,157,127,497,838,970,919,086,177,
572,311,482,854,026,736,893,741,807,137,473,243,843,472,257,922,949,570,191,
761,657,030,150,435,278,596,829,121,625,683,420,005,186,694,433,791,175,983,
076,786,107,618,733,176,503,689,986,489,514,054,731,270,047,902,863,996,988,
448,111,208,390,350,096,128,252,562,716,448,121,161,384,098,055,424,586,358,
653,000,536,823,497,999,450,205,881,358,743,004,121,242,728,464,004,036,311,
540,986,372,196,895,469,329,737,969,170,426,530,980,073,317,577,307,499,040,
020,059,502,151,018,013,405,852,200,127,743,446,841,328,589,896,126,339,472,
057,135,220,951,721,152,932,917,690,939,284,212,227,412,479,375,109,257,147,
735,421,901,695,634,047,290,342,020,004,728,412,728,356,220,803,495,595,264,
234,820,521,120,742,376,345,396,753,841,631,912,599,377,465,087,842,394,715,
242,953,246,588,482,199,078,475,479,023,197,860,419,223,593,427,034,266,175,
469,207,104,099,965,021,148,837,240,913,610,868,275,296,925,607,533,947,554,
478,018,504,760,393,987,595,401,173,652,756,977,739,581,803,060,532,245,833,
321,046,130,813,087,132,136,758,693,482,370,097,965,765,372,009,203,855,111,
542,134,134,930,354,741,605,555,048,956,703,236,100,644,828,144,875,083,229,
193,474,244,279,635,298,344,049,665,681,165,819,500,440,273,582,747,709,771,
389,640,692,595,344,982,791,764,116,930,830,319,299,368,047,118,569,125,068,
322,341,840,236,943,426,731,939,051,502,332,793,462,523,309,911,440,960,798,
767,130,326,378,722,219,751,953,948,555,648,688,061,777,732,063,122,876,341,
798,207,657,068,042,149,291,553,931,988,363,395,914,055,576,114,469,128,076,
479,036,247,626,690,130,655,427,486,297,075,109,946,177,218,936,494,366,252,
080,916,767,634,939,957,891,827,201,527,969,867,706,454,247,219,040,688,335,
151,127,693,650,952,872,758,118,614,154,355,850,553,958,040,279,105,017,554,
175,976,719,137,118,586,369,107,165,478,637,426,771,384,563,953,358,728,822,
069,669,777,285,514,670,759,447,356,016,383,526,966,537,603,609,833,935,113,
799,870,643,124,278,249,916,904,629,871,814,020,593,209,585,084,747,484,448,
913,390,216,667,966,614,618,587,323,367,817,653,187,171,250,125,168,501,954,
717,334,566,299,543,729,216,971,910,477,163,191,532,142,286,801,414,554,520,
823,204,586,591,908,038,283,654,033,838,412,251,209,709,775,570,069,550,564,
728,729,316,662,910,858,531,491,522,798,193,302,631,358,503,680,481,037,613,
084,243,881,165,593,286,967,236,781,858,806,993,030,060,733,862,560,654,945,
185,093,691,606,923,466,120,177,849,085,484,982,784,559,383,716,738,731,350,
210,932,590,414,102,782,306,965,599,330,277,807,660,636,143,603,379,150,344,
056,003,184,858,603,752,902,049,756,395,813,507,439,665,500,513,749,191,810,
579,790,774,129,352,161,896,369,703,556,645,210,579,749,978,503,845,816,395,
319,444,307,768,523,053,804,179,156,761,016,113,826,102,448,138,711,928,521,
476,430,938,323,535,757,417,034,685,879,894,099,802,568,618,642,277,725,096,
585,745,809,023,849,794,084,121,406,472,192,296,075,594,596,435,524,916,681,
441,674,947,594,684,471,698,520,472,241,195,161,735,775,104,162,227,370,933,
601,561,710,023,096,800,980,082,063,458,653,874,285,699,046,999,629,615,286,
008,774,436,813,649,977,782,261,810,283,959,957,866,947,673,136,009,516,562,
490,823,033,565,674,892,903,421,272,854,272,117,074,155,036,577,481,010,645,
578,493,875,035,212,847,071,129,645,235,563,788,126,789,204,496,918,673,773,
002,601,140,242,427,026,039,099,409,764,144,735,384,269,180,470,244,960,530,
207,630,773,412,655,031,942,420,525,726,298,334,412,180,476,604,181,913,402,
144,532,776,306,604,998,382,998,130,528,277,807,911,096,809,387,033,804,058,
402,596,325,448,810,247,929,839,642,020,039,799,464,375,174,407,712,152,913,
954,671,028,672,557,695,853,046,281,028,823,741,684,533,075,399,013,822,095,
904,923,776,484,527,354,346,227,388,549,610,192,711,630,124,633,246,870,570,
399,412,748,592,347,591,468,277,336,746,889,609,698,729,794,967,605,213,482,
536,869,684,102,662,978,427,660,065,707,218,799,023,827,232,793,505,518,576,
899,714,198,746,123,117,893,006,154,468,408,465,079,217,849,329,857,072,710,
855,661,223,229,714,006,264,743,090,526,999,642,266,199,896,925,712,478,999,
456,207,277,103,385,901,221,233,943,505,908,972,087,192,579,071,447,950,767,
374,015,492,965,642,209,649,794,837,592,008,594,839,107,653,915,764,236,156,
046,632,506,762,240,353,867,873,398,138,944,689,270,596,403,020,650,936,954,
180,947,779,915,351,253,528,457,749,901,906,370,387,047,482,949,165,065,049,
227,256,924,706,761,944,335,364,634,095,291,119,988,582,590,950,231,090,653,
652,677,218,990,217,207,359,205,125,620,796,077,749,653,381,090,489,090,795,
023,561,497,109,540,775,875,233,515,090,947,414,802,362,735,218,307,560,210,
261,595,057,318,553,802,834,089,630,894,228,116,184,884,546,678,248,710,919,
280,321,083,060,387,504,488,401,897,902,640,662,630,632,969,876,121,686,000,
072,289,717,622,749,645,395,003,776,281,407,696,872,348,160,688,539,263,149,
474,926,908,904,312,905,691,448,567,568,822,127,950,179,976,343,894,651,638,
998,369,495,917,528,172,899,375,921,639,867,885,350,516,262,826,493,349,099,
904,719,134,378,636,415,243,671,939,793,674,953,594,316,276,497,207,047,602,
434,053,801,466,009,223,608,812,284,240,060,186,413,459,079,046,346,680,694,
973,557,963,133,397,131,236,240,888,622,715,957,509,888,430,957,462,890,240,
845,874,225,993,171,907,042,250,139,518,073,815,063,744,494,351,069,442,200,
963,877,038,915,306,031,692,280,957,412,654,636,015,624,818,160,949,395,870,
639,114,812,785,968,719,461,808,029,269,411,924,313,516,340,318,373,219,022,
719,820,192,048,790,430,150,276,317,558,606,744,592,297,027,434,314,910,239,
537,977,703,003,961,957,680,487,509,070,220,274,278,858,234,670,091,613,842,
065,843,183,123,908,438,371,631,503,885,640,668,908,290,157,581,195,100,485,
647,423,994,922,514,148,469,794,897,417,398,282,676,176,434,837,502,778,763,
951,454,160,191,447,458,061,259,899,522,309,756,923,338,033,822,687,221,631,
059,419,729,161,351,361,390,698,821,690,191,684,648,874,061,893,507,918,021,
681,310,450,417,031,279,534,764,809,981,696,880,620,944,673,772,565,534,398,
414,398,465,595,075,001,694,333,969,393,699,999,854,147,249,503,023,108,889,
648,477,106,801,781,755,764,459,341,612,329,751,101,911,013,420,876,885,234,
746,372,194,115,416,514,367,861,623,233,996,999,768,071,529,991,026,223,328,
112,951,928,326,985,028,154,559,617,116,045,662,491,673,123,518,291,646,035,
555,118,983,240,521,642,640,387,655,510,110,095,074,305,999,840,985,917,158,
296,524,814,450,726,803,836,969,359,683,146,929,150,431,942,983,629,946,386,
953,978,156,944,599,640,512,986,666,310,521,943,899,455,675,778,974,007,971,
554,150,797,103,851,882,643,293,913,608,055,330,578,267,091,598,240,422,685,
381,300,181,717,734,084,450,724,230,603,274,314,292,312,747,459,671,301,329,
056,618,962,455,095,529,632,271,897,425,583,937,590,770,045,999,697,217,042,
653,893,976,418,389,404,145,223,453,448,175,380,227,533,070,320,513,722,961,
441,793,442,534,121,529,853,778,125,684,884,272,533,645,494,888,030,741,960,
366,100,076,332,870,056,989,966,044,676,296,867,867,303,006,791,262,232,497,
349,247,271,981,231,084,209,174,772,075,681,161,689,818,321,814,218,886,660,
166,040,508,784,094,850,870,043,684,957,727,051,687,273,000,414,817,004,500,
015,792,075,906,905,297,728,786,839,895,836,991,157,648,373,270,693,376,962,
118,028,708,776,291,535,323,043,570,547,318,493,352,934,669,517,089,361,403,
839,867,847,739,818,362,518,981,151,604,623,488,513,691,975,823,368,217,698,
389,047,092,304,292,940,144,014,544,239,051,581,514,051,491,372,927,757,564,
080,972,865,080,166,959,254,246,506,606,530,276,532,270,956,099,053,530,193,
262,626,477,668,190,099,738,318,175,083,395,170,772,084,267,022,060,610,950,
165,023,914,210,089,307,959,282,502,414,985,830,545,891,591,237,521,873,897,
839,943,246,123,580,761,673,734,713,103,997,571,537,719,231,498,737,780,957,
142,681,081,940,866,025,085,259,504,838,149,356,294,828,919,175,304,149,279,
254,276,364,608,634,637,358,052,635,478,977,263,272,721,363,387,709,180,959,
477,570,218,554,887,525,305,034,917,742,588,327,353,107,794,375,031,654,710,
982,448,634,586,462,704,663,538,952,669,042,510,277,839,757,370,123,359,299,
775,340,417,812,384,911,410,758,530,815,647,379,470,826,875,420,974,876,872,
462,567,456,603,556,940,420,240,764,227,035,187,970,636,508,681,777,793,714,
373,861,733,193,578,607,234,194,756,107,729,863,063,174,817,603,597,856,225,
676,964,372,415,070,954,023,176,388,480,111,868,670,775,964,463,181,148,318,
136,066,572,394,211,952,794,529,510,802,563,521,718,861,512,717,762,384,173,
631,869,152,242,505,091,903,336,258,584,065,780,344,774,210,252,000,769,479,
449,647,328,729,690,902,999,888,633,284,337,126,151,836,607,691,076,641,543,
352,989,807,326,517,795,037,203,235,267,970,594,003,476,842,226,377,857,278,
793,575,391,355,438,953,497,675,568,826,891,159,770,129,557,394,871,332,088,
223,184,439,948,556,895,173,934,784,337,060,713,938,270,057,789,313,981,429,
555,947,137,250,134,792,829,517,163,864,795,269,949,665,766,003,194,598,110,
380,582,900,383,004,832,067,597,693,294,507,460,936,995,877,814,313,828,565,
777,673,245,697,824,962,959,684,189,681,863,396,569,688,718,838,533,895,051,
061,685,275,381,685,322,391,411,524,677,892,265,613,746,602,291,999,592,669,
753,972,273,995,771,496,353,642,436,104,517,026,218,012,640,464,753,376,708,
976,304,166,292,679,777,398,223,988,325,425,301,401,181,177,633,965,105,768,
752,247,981,149,114,855,045,475,393,989,481,324,336,374,248,476,197,444,694,
289,314,609,868,562,627,708,539,613,687,371,715,684,622,557,739,803,445,734,
235,640,708,286,997,632,188,023,949,631,187,620,454,966,434,805,311,580,638,
415,806,504,829,032,293,776,006,580,913,805,996,949,444,882,649,448,149,592,
278,126,725,109,157,475,086,640,557,205,231,989,925,140,284,412,682,587,395,
307,389,947,805,855,865,977,152,917,713,269,808,620,282,714,797,290,050,736,
163,237,716,809,301,583,616,258,542,606,543,634,795,200,526,040,164,272,067,
663,887,657,708,810,114,193,215,299,050,328,069,255,731,086,310,395,107,610,
958,191,999,736,347,310,254,912,098,825,307,637,588,262,229,048,836,608,329,
208,789,320,829,232,192,301,766,028,148,319,855,288,116,164,133,417,477,504,
570,951,156,418,050,311,637,938,424,778,301,188,471,522,557,628,617,980,634,
434,583,058,584,717,859,587,981,525,015,425,516,876,910,317,185,012,188,559,
942,234,675,399,990,615,195,863,070,032,687,915,051,137,099,294,630,023,601,
112,694,535,130,832,900,868,283,126,378,836,898,296,428,276,813,019,425,970,
138,604,020,796,698,698,765,984,641,335,599,346,181,766,709,595,787,921,645,
762,977,673,080,277,355,597,534,252,594,748,487,040,141,663,231,239,005,440,
739,623,276,794,364,910,636,551,197,922,061,016,041,774,625,447,496,517,257,
141,391,275,284,016,881,923,910,918,845,945,181,041,896,974,185,184,420,244,
661,309,755,850,940,964,415,918,728,232,834,720,765,875,849,278,376,164,667,
223,277,519,114,793,957,354,889,874,705,578,813,725,247,168,138,410,858,771,
235,055,940,117,023,228,905,137,121,837,032,133,887,391,575,173,586,485,733,
777,441,114,647,715,110,851,512,305,534,615,051,305,162,204,313,667,835,658,
445,690,405,562,034,223,774,984,017,281,379,700,293,357,576,664,140,168,967,
578,615,402,413,246,011,419,141,554,248,295,968,759,500,433,768,328,914,074,
682,267,971,730,727,901,711,847,724,338,308,845,857,966,994,471,517,463,334,
840,833,966,534,181,118,379,017,942,284,244,639,638,806,930,212,126,760,789,
959,034,086,687,366,905,119,433,514,777,040,533,594,156,233,658,143,282,852,
533,417,534,084,543,488,046,270,549,348,448,495,542,968,912,799,011,648,253,
783,488,799,834,300,935,995,741,807,493,584,473,514,732,414,095,469,935,952,
623,953,503,113,128,303,209,237,137,333,083,332,337,651,356,319,612,579,249,
873,435,770,648,064,666,992,496,213,384,129,568,560,721,114,425,286,596,988,
138,289,739,780,138,715,580,713,365,047,556,379,910,982,764,661,743,142,157,
895,395,660,824,876,869,711,689,644,661,433,572,051,272,482,783,515,094,427,
886,268,521,405,752,716,570,827,830,191,510,856,339,351,608,185,699,569,701,
776,075,589,161,283,917,475,566,686,552,105,752,960,152,290,635,167,743,946,
973,777,554,458,404,677,039,056,211,872,276,718,349,459,679,370,460,765,309,
274,068,151,201,640,402,549,824,973,772,258,787,606,267,502,215,135,701,150,
606,904,484,284,214,016,610,808,493,104,265,461,222,299,707,785,758,130,777,
530,805,435,634,951,126,855,528,020,727,033,180,864,396,281,093,794,147,509,
232,763,963,228,331,159,876,525,472,090,772,827,242,991,125,589,504,359,187,
475,345,727,161,102,327,106,200,555,164,703,979,430,944,766,289,778,963,821,
895,746,112,268,996,532,171,110,866,022,127,494,044,666,595,125,438,527,869,
611,031,193,591,098,517,598,853,757,284,938,804,339,013,353,976,256,071,175,
628,443,656,796,429,169,658,307,446,910,168,131,545,800,315,360,396,711,470,
681,994,376,047,060,006,723,497,830,122,922,549,292,972,591,543,707,718,272,
584,617,839,677,859,157,565,723,811,890,984,715,267,949,302,609,420,007,204,
094,650,276,647,694,628,163,610,180,360,440,759,688,383,666,009,986,312,243,
203,967,655,722,125,491,559,028,691,117,661,855,497,587,072,274,315,933,004,
318,653,833,117,074,768,832,383,756,732,926,777,201,248,988,258,064,502,141,
734,662,594,254,122,078,357,321,633,784,692,570,019,968,847,628,982,573,342,
007,221,278,856,556,798,937,201,496,215,597,620,756,680,070,481,603,563,579,
660,036,009,714,058,084,718,757,802,557,477,978,082,161,237,344,189,333,472,
375,244,853,274,326,321,966,896,248,454,936,297,646,940,699,620,850,600,461,
644,854,522,644,657,852,393,942,481,218,259,840,996,652,915,093,526,950,778,
353,142,827,900,031,720,885,610,767,879,645,767,595,437,216,248,512,047,811,
295,255,676,036,101,498,539,753,951,451,988,198,768,995,404,166,657,768,147,
217,595,992,529,593,268,288,781,735,734,616,365,602,887,029,186,266,967,817,
067,258,842,817,499,176,266,578,083,273,467,309,626,665,780,161,451,009,839,
687,005,367,850,275,562,608,517,682,448,252,973,729,730,189,853,252,778,154,
396,320,085,005,622,722,801,799,261,993,714,891,732,333,786,087,579,233,386,
265,997,702,928,985,577,222,773,426,770,866,541,045,953,665,627,808,740,411,
169,223,713,459,049,466,307,209,506,855,795,500,273,506,252,172,491,680,719,
339,988,044,324,265,509,419,568,192,241,029,300,845,869,098,275,799,812,073,
812,730,521,534,734,485,647,743,231,057,392,720,678,862,044,638,789,355,792,
107,784,220,407,849,163,735,659,784,113,233,127,860,695,320,763,518,308,835,
152,900,285,042,988,439,517,067,331,629,252,215,088,526,036,548,523,820,117,
256,994,337,507,257,947,260,156,496,866,755,676,462,938,732,054,170,105,829,
760,324,784,836,591,317,923,639,411,433,226,810,718,008,674,094,931,930,482,
208,734,699,831,196,386,672,666,202,168,108,457,272,404,783,692,142,932,638,
162,131,597,322,728,056,038,943,375,858,521,663,459,063,249,254,088,275,275,
030,454,185,469,054,510,262,781,487,027,309,932,038,021,659,597,852,968,110,
626,352,948,079,771,978,850,867,974,101,615,359,213,636,427,763,531,854,749,
140,727,106,895,426,918,799,952,500,954,484,478,618,506,297,965,611,080,652,
458,616,576,511,438,403,785,426,059,009,225,507,529,724,234,537,822,162,374,
567,313,346,115,490,298,690,826,647,973,228,805,070,972,845,603,193,824,235,
654,899,598,085,828,661,562,612,548,491,136,790,619,546,023,115,673,682,530,
414,705,638,368,730,565,173,972,609,291,761,174,983,058,214,251,868,056,153,
307,281,936,905,449,047,960,776,495,605,653,650,279,007,405,816,334,442,123,
484,322,588,008,976,132,817,517,544,934,349,846,671,231,684,545,227,163,732,
618,817,835,853,908,321,205,046,381,973,387,283,554,311,933,736,871,584,860,
755,276,377,976,129,246,576,770,619,533,210,226,827,661,111,184,032,556,928,
344,353,526,401,057,148,720,255,379,941,354,668,203,709,164,389,796,750,632,
048,669,391,481,770,055,084,604,799,485,676,590,552,563,850,187,486,113,131,
990,974,619,495,502,083,322,807,580,360,737,038,473,825,352,728,998,343,372,
936,130,042,200,975,141,455,700,845,010,969,414,393,418,751,194,856,724,408,
798,157,204,379,570,517,160,691,192,205,710,742,443,184,882,675,863,522,691,
413,620,182,816,510,916,055,568,213,305,413,729,540,343,994,934,174,137,564,
973,080,377,842,140,373,226,592,030,829,354,343,572,993,616,304,540,368,400,
456,425,688,097,272,475,745,327,885,260,291,783,216,310,809,444,718,851,642,
644,588,937,915,129,135,982,202,255,647,895,805,557,593,455,191,207,875,080,
610,207,465,640,574,238,167,217,446,266,965,655,362,297,582,633,612,000,912,
594,484,113,453,040,088,534,626,607,536,329,353,665,166,778,214,598,657,996,
126,696,663,467,602,350,309,173,083,855,489,230,494,273,610,700,616,862,770,
347,592,188,027,120,456,454,423,240,657,113,945,857,185,337,151,282,354,815,
014,016,814,876,551,266,344,993,539,756,748,826,057,436,644,575,005,949,809,
340,675,234,016,653,434,901,180,419,598,872,159,051,728,846,901,991,782,596,
461,488,181,721,893,745,420,037,529,305,431,603,004,140,416,760,893,941,728,
144,617,189,468,088,732,723,580,884,507,426,295,997,965,321,739,293,177,536,
578,215,563,789,823,763,923,270,291,375,186,572,749,207,992,932,361,949,783,
740,967,849,519,504,826,230,478,239,521,727,133,312,218,933,393,451,689,691,
908,444,304,329,232,522,240,337,650,241,636,170,825,611,975,572,020,935,903,
249,318,414,391,616,929,200,903,661,834,079,471,380,264,397,798,331,996,627,
695,451,898,398,404,085,313,219,734,243,597,495,235,976,819,082,769,116,275,
984,469,911,175,769,851,414,745,214,506,904,492,746,624,546,375,628,017,502,
991,246,911,134,110,633,309,272,336,747,665,094,088,400,393,942,585,916,413,
802,051,713,528,372,398,278,741,945,536,116,305,100,150,011,470,019,893,238,
925,240,232,341,996,086,735,866,582,065,678,584,760,470,068,904,755,882,930,
484,991,270,739,685,894,801,434,536,796,373,146,288,491,985,449,755,302,634,
099,790,761,596,477,270,706,097,512,797,294,214,141,210,000,983,877,543,832,
002,055,480,278,120,303,165,329,994,646,420,014,624,438,479,591,514,748,518,
236,003,575,733,411,095,887,610,060,833,252,640,008,854,384,719,988,402,258,
564,677,438,106,761,032,622,737,754,590,235,998,183,423,445,643,007,028,855,
360,468,672,027,468,506,610,426,423,970,261,954,371,726,661,887,777,192,367,
089,609,610,311,992,231,352,278,554,915,944,426,006,924,382,215,584,589,371,
428,451,562,535,263,762,910,895,008,470,863,627,269,103,888,109,623,756,986,
493,037,817,926,032,801,443,608,377,315,062,827,728,696,810,172,348,402,505,
946,977,125,338,479,802,209,272,241,344,465,532,049,841,371,206,286,165,057,
178,895,121,304,800,599,296,617,528,432,705,705,577,171,460,308,861,368,675,
668,156,460,222,931,689,596,556,169,079,614,887,732,382,138,893,968,463,863,
043,659,898,078,050,817,591,932,948,547,871,758,887,340,856,932,663,746,386,
188,200,973,016,750,519,168,715,056,920,258,334,211,220,433,188,778,455,498,
092,672,227,813,459,817,018,371,009,168,979,608,649,367,369,909,180,315,274,
280,093,007,048,688,627,238,667,524,656,102,740,813,591,445,132,814,625,126,
694,902,592,976,347,258,082,076,489,846,771,873,133,656,529,311,057,327,245,
111,217,924,252,391,245,429,666,935,953,852,161,150,521,830,587,455,805,419,
239,529,288,856,218,322,763,611,560,640,243,478,342,850,024,677,235,022,698,
395,946,107,084,689,605,684,065,079,227,241,362,098,099,497,490,641,208,393,
215,994,903,468,470,022,128,434,492,417,183,147,150,063,855,443,163,789,728,
208,721,529,547,051,039,812,282,518,079,384,148,565,573,799,932,095,913,590,
010,416,962,277,703,964,045,947,168,203,303,551,522,157,877,468,559,418,744,
191,233,100,950,339,980,275,142,080,065,989,360,369,431,288,558,061,677,556,
565,860,118,406,782,562,322,933,858,778,264,239,290,960,259,038,117,260,520,
090,535,977,253,380,049,053,115,063,563,143,365,344,118,695,564,959,844,037,
193,845,005,928,493,420,172,614,005,388,603,190,478,656,909,719,114,959,536,
871,012,487,115,538,239,998,942,840,146,655,202,839,915,555,586,917,687,271,
258,140,100,135,518,960,761,401,532,875,995,675,910,657,658,641,673,127,843,
465,506,013,187,894,963,300,185,182,887,474,764,290,345,388,791,084,803,464,
247,416,690,507,353,305,013,769,534,186,465,044,345,669,461,210,573,159,586,
699,272,558,764,426,623,606,019,790,593,749,093,939,756,574,253,959,984,509,
015,082,537,807,022,962,572,113,805,391,408,236,585,118,642,396,877,587,106,
381,493,338,307,598,022,306,246,665,009,288,860,210,255,742,407,399,590,087,
548,995,518,165,245,049,893,069,148,012,144,068,753,418,907,620,143,465,118,
590,013,834,290,565,250,655,342,637,745,542,884,597,813,748,964,026,060,932,
453,669,068,542,243,213,485,012,688,641,199,624,317,605,243,059,482,475,255,
722,199,259,236,644,149,940,892,092,364,543,175,491,385,173,436,249,936,292,
935,188,551,350,487,284,084,385,038,483,995,915,101,511,661,814,934,666,724,
190,823,060,462,578,733,904,202,833,471,898,558,538,678,409,741,993,745,680,
974,882,890,262,246,406,490,250,293,124,402,027,957,302,029,846,999,518,628,
442,287,006,703,117,455,928,374,167,819,147,836,701,207,014,301,849,937,716,
938,650,402,689,260,433,945,238,107,892,090,485,714,277,596,481,725,285,508,
188,154,374,773,074,072,611,833,098,709,155,635,998,485,071,427,674,385,250,
658,876,452,633,969,093,045,922,238,408,212,386,641,663,893,127,769,908,019,
976,785,004,700,077,728,496,132,150,026,686,117,271,993,646,545,613,614,646,
802,036,557,834,286,363,627,332,267,963,136,319,008,565,593,796,370,614,379,
881,520,439,221,945,710,920,744,787,792,182,295,471,556,114,411,809,551,558,
205,483,761,805,413,722,434,507,314,940,226,811,853,222,043,954,505,649,556,
479,045,214,409,971,802,893,315,607,229,958,335,384,737,189,220,515,028,150,
255,794,710,482,571,095,862,906,383,282,227,376,965,370,283,193,979,971,277,
613,865,989,828,162,360,468,672,017,984,318,634,663,379,789,715,651,253,452,
563,708,551,130,397,675,630,132,470,291,183,247,453,829,258,838,824,854,330,
760,969,930,281,593,085,623,123,220,813,404,880,068,245,402,845,653,830,691,
709,189,825,548,836,556,367,399,329,397,778,658,211,976,592,863,770,542,191,
765,918,401,414,083,998,198,996,710,248,561,036,788,865,889,455,868,696,723,
021,239,953,968,152,188,020,987,041,584,618,651,903,468,160,408,129,989,204,
900,292,451,781,916,409,824,145,549,759,414,338,579,334,027,518,823,689,330,
121,577,922,384,062,382,889,327,153,174,594,501,903,565,927,524,225,165,152,
660,648,792,457,025,149,739,619,496,788,172,238,737,631,023,756,351,380,912,
020,443,765,476,697,125,344,029,209,188,806,020,800,778,885,009,713,088,691,
527,293,454,875,686,884,412,710,122,540,213,859,987,890,863,653,103,171,206,
113,015,760,858,649,259,392,088,132,889,981,855,630,272,537,351,601,191,281,
892,054,051,468,215,961,083,895,273,943,256,406,859,564,372,251,411,114,999,
794,056,913,854,164,692,467,630,767,441,135,953,902,194,316,013,573,103,562,
821,251,028,959,570,907,499,765,131,029,577,643,621,537,890,265,389,210,496,
952,657,772,164,500,352,851,437,952,779,362,218,002,172,061,491,405,397,479,
046,776,807,434,451,615,246,701,002,485,492,811,001,346,446,377,327,344,693,
719,538,194,037,160,317,034,405,196,594,111,790,050,373,657,417,814,184,328,
968,304,335,095,469,295,448,270,109,308,421,693,754,158,659,106,918,171,977,
624,068,572,250,087,597,040,342,139,904,785,886,016,772,192,923,288,571,019,
813,648,936,901,653,411,982,760,912,931,658,755,173,596,711,630,448,417,391,
286,519,924,361,249,685,609,572,043,490,001,972,542,407,992,776,338,607,249,
716,899,653,038,069,542,038,971,450,661,066,831,209,454,399,952,333,663,953,
787,022,195,479,814,458,690,855,910,155,821,800,715,744,264,127,195,070,419,
736,703,460,545,326,925,323,866,829,461,295,660,712,788,303,521,462,396,520,
554,017,184,545,211,419,480,996,996,149,721,839,000,292,114,513,175,551,746,
759,451,261,870,322,396,104,805,335,445,870,170,975,701,242,432,044,732,624,
656,891,956,280,308,082,407,411,041,482,182,097,802,925,403,132,225,074,315,
547,356,915,409,831,464,209,173,830,551,564,130,967,732,649,127,130,110,849,
952,971,394,823,037,527,070,615,714,843,483,116,903,550,539,744,331,444,738,
068,021,012,813,790,069,985,058,216,226,247,500,498,836,014,812,240,011,155,
000,171,777,229,941,761,000,950,870,253,198,544,840,593,936,883,493,810,477,
254,125,225,681,852,674,079,390,059,770,009,702,065,176,336,414,030,784,630,
907,826,775,596,352,477,043,375,164,517,648,662,130,652,916,106,045,409,749,
524,709,070,894,278,966,472,163,808,362,535,496,776,882,897,779,337,397,075,
907,159,698,030,194,382,412,995,118,469,857,659,108,370,360,747,569,581,209,
582,592,331,952,483,423,451,929,455,012,381,644,113,193,372,968,421,317,619,
183,373,975,396,418,885,717,156,669,862,594,579,409,863,151,006,343,963,268,
534,652,897,077,655,547,226,650,160,599,009,858,495,456,918,505,126,813,392,
053,943,025,542,642,108,890,846,544,704,625,274,352,879,461,188,529,529,735,
824,839,977,696,954,503,019,867,150,712,390,190,716,016,629,045,694,363,186,
617,497,178,845,341,510,686,149,340,424,414,960,156,654,166,402,504,036,447,
237,829,219,068,432,482,475,406,454,980,069,157,610,779,009,023,297,038,884,
651,856,799,843,581,462,792,621,764,452,870,448,133,951,509,212,664,003,906,
373,606,917,622,327,019,411,646,880,778,855,425,471,151,699,032,134,833,137,
655,999,973,008,963,949,229,830,345,328,949,210,440,358,613,236,690,367,898,
276,358,318,183,504,371,018,764,423,952,266,766,980,718,771,640,249,972,436,
857,042,947,801,307,110,486,491,846,274,020,678,853,238,059,711,310,851,740,
416,893,612,479,418,321,610,295,512,773,607,825,976,269,851,292,118,666,667,
259,241,432,271,248,258,212,965,844,635,546,553,610,768,392,798,981,459,052,
128,998,329,724,904,014,496,243,394,380,443,253,761,411,743,270,646,306,034,
922,256,499,080,948,686,234,335,317,094,134,875,632,906,225,640,494,518,608,
303,719,027,406,780,827,713,915,126,879,155,606,493,555,218,155,510,921,471,
956,329,156,054,492,186,594,211,882,167,571,980,727,766,889,568,527,974,146,
886,522,721,951,236,826,220,433,916,481,180,847,417,886,694,937,034,625,663,
561,061,296,161,396,715,325,923,476,602,442,952,194,811,331,685,051,715,742,
492,368,512,185,319,953,090,003,081,621,930,216,742,315,706,244,099,704,825,
480,390,039,246,949,710,665,794,986,920,100,289,074,640,184,792,691,701,821,
959,104,722,521,544,157,503,876,101,271,936,885,195,734,852,504,871,199,946,
408,090,290,950,803,557,040,675,026,130,232,968,672,136,750,942,621,683,502,
246,543,481,060,802,387,268,869,709,712,355,185,101,244,211,426,890,194,104,
339,332,486,968,933,130,001,570,736,740,363,899,530,106,407,684,958,928,429,
257,625,109,756,888,050,178,588,280,457,534,237,082,434,897,150,637,639,714,
842,284,643,186,162,232,879,635,439,203,634,850,186,060,621,795,917,841,215,
403,697,529,126,378,273,400,886,645,904,658,226,701,768,879,510,725,854,456,
606,605,696,767,723,966,758,712,336,857,357,335,519,485,177,763,131,265,560,
020,957,039,018,322,098,386,401,900,534,670,678,196,673,133,506,358,923,863,
012,354,116,837,242,994,723,478,879,205,295,828,416,370,448,049,125,418,849,
770,428,208,453,987,245,053,045,447,740,689,266,912,601,313,255,939,125,675,
141,146,585,614,468,001,218,741,839,023,347,993,432,334,259,484,414,209,678,
130,119,029,013,123,185,180,419,452,401,755,256,834,292,451,086,451,239,683,
220,577,886,292,560,479,888,669,523,201,615,086,410,687,852,084,516,987,917,
327,513,140,910,173,908,280,508,986,501,534,920,436,511,340,027,202,812,935,
996,592,713,388,646,896,971,536,404,309,351,175,316,415,658,770,376,800,835,
392,560,519,161,127,999,003,980,616,785,819,116,923,785,899,121,624,407,720,
215,698,283,582,289,329,698,326,645,042,616,901,456,235,875,389,103,155,116,
151,574,619,282,428,066,464,667,895,627,227,422,460,672,105,934,664,754,664,
397,864,294,809,321,725,024,340,595,226,109,882,210,821,511,520,138,549,206,
605,363,088,269,988,935,442,438,367,326,403,121,440,872,576,789,192,934,287,
627,586,196,142,113,253,922,081,509,729,995,537,817,868,523,521,813,950,768,
723,804,909,768,790,331,842,859,671,328,305,714,096,232,406,477,060,762,616,
809,381,941,910,552,932,454,575,843,616,951,944,679,891,625,831,043,461,705,
280,877,254,225,185,737,118,999,517,481,888,864,920,879,534,665,755,183,890,
204,254,350,518,342,256,167,672,269,661,016,060,973,121,913,654,316,235,733,
473,319,228,200,560,867,356,922,598,057,611,086,164,521,022,210,466,388,120,
944,663,034,313,664,779,168,530,810,900,409,518,288,320,774,883,208,860,648,
478,444,444,107,531,477,395,029,129,373,377,239,870,012,311,501,810,254,652,
168,401,824,082,582,795,397,128,928,407,132,904,449,963,532,030,698,775,317,
886,944,419,067,245,152,613,649,362,096,724,869,569,399,468,902,383,013,912,
970,988,631,591,421,289,085,372,701,493,084,420,793,580,923,582,913,431,120,
742,761,458,480,935,928,015,192,446,119,564,542,678,667,601,616,223,043,515,
043,674,445,706,593,057,682,160,317,596,041,819,292,736,968,921,078,069,828,
291,314,232,536,645,541,278,189,906,948,609,854,987,978,016,340,576,341,716,
253,443,986,746,585,021,209,791,983,981,649,746,518,273,228,791,872,235,978,
086,085,214,647,232,227,496,077,069,380,693,964,707,650,547,097,166,114,218,
023,738,910,035,782,466,819,651,696,063,744,626,705,849,059,693,948,011,875,
691,011,484,679,381,978,741,522,765,983,314,933,317,965,124,839,106,095,347,
101,288,880,244,762,661,204,668,818,608,811,069,745,306,241,184,600,510,568,
724,753,934,245,746,696,328,309,434,298,721,682,128,606,189,206,021,284,971,
093,268,270,791,388,938,232,475,372,294,203,845,953,989,071,425,852,444,614,
786,228,432,248,269,099,646,950,619,562,645,578,388,073,324,163,380,248,818,
130,990,429,278,061,655,046,314,073,455,877,287,472,709,580,372,084,810,183,
629,283,281,667,385,853,225,734,101,114,148,667,432,518,771,721,010,333,015,
664,551,564,383,970,889,394,000,658,316,833,067,667,759,101,483,053,553,132,
588,884,970,028,240,623,416,795,608,203,689,024,819,692,379,908,413,972,852,
004,711,493,087,785,779,396,414,650,011,625,308,631,315,543,928,629,125,941,
249,968,839,875,116,919,358,890,522,849,883,897,012,586,352,632,737,073,907,
703,136,615,391,534,848,024,035,824,391,223,912,968,061,342,444,226,829,558,
617,930,745,950,334,243,137,897,213,674,122,131,145,639,060,301,111,698,637,
718,924,516,722,855,854,231,377,099,220,875,209,453,139,602,041,746,328,619,
376,600,916,274,412,996,715,657,806,107,988,456,592,598,753,908,709,806,551,
276,140,623,748,474,904,708,249,325,596,442,091,657,688,232,644,436,198,860,
558,949,891,168,641,551,375,145,280,094,126,529,352,133,237,327,964,918,587,
167,228,420,933,939,897,287,558,115,957,880,467,398,532,747,062,180,750,039,
831,302,946,280,471,490,091,348,823,318,697,459,174,463,346,264,065,037,807,
188,315,923,262,924,996,618,371,069,549,964,369,329,984,465,573,451,366,435,
936,192,724,053,502,998,912,276,387,529,475,011,810,766,156,687,058,049,441,
885,779,417,823,202,721,268,620,371,052,443,708,916,297,034,863,368,276,827,
359,542,018,889,488,697,927,244,382,055,513,643,814,942,963,325,866,136,869,
121,050,303,368,070,615,141,517,037,931,430,049,385,084,304,311,970,664,495,
042,548,392,967,664,772,662,445,494,959,064,615,501,010,150,736,789,736,163,
140,664,690,991,948,008,888,225,545,214,725,709,667,361,627,293,798,115,765,
502,292,957,924,563,923,420,238,764,654,371,020,100,739,916,399,703,054,298,
541,017,726,749,101,267,838,172,331,333,323,001,345,192,071,066,075,021,122,
184,130,337,586,207,323,349,777,930,896,069,974,746,442,481,368,553,765,892,
344,151,855,811,661,776,934,596,090,666,230,224,640,982,286,636,786,722,461,
821,807,764,908,728,391,429,069,417,359,176,058,875,417,010,564,371,986,530,
053,012,369,248,300,431,472,185,881,675,354,280,434,136,428,198,033,632,688,
223,913,587,691,667,303,520,399,546,433,514,861,353,165,329,340,265,725,288,
037,790,222,091,055,401,300,730,041,287,088,581,699,654,008,927,685,603,673,
747,587,915,264,126,054,419,134,188,872,892,513,960,823,391,328,038,701,865,
731,981,946,102,408,517,073,331,414,693,899,387,019,926,205,093,062,054,893,
292,909,155,325,659,864,077,151,146,185,987,080,478,701,775,992,963,353,361,
182,111,897,396,185,953,267,519,312,937,380,670,126,481,389,294,295,938,872,
066,410,728,581,873,309,926,091,305,710,375,101,613,905,122,913,952,179,106,
295,433,497,159,364,220,679,633,567,096,759,556,987,451,555,124,800,695,919,
831,839,925,318,273,765,604,636,727,032,148,676,860,941,465,975,458,788,349,
057,301,161,147,509,589,355,927,941,803,176,619,824,683,951,183,845,597,883,
508,795,154,810,831,610,581,276,313,489,416,971,210,022,559,646,212,374,749,
243,575,698,383,263,321,159,733,523,338,677,974,744,579,376,383,684,257,710,
127,237,721,707,415,132,402,292,363,747,629,384,508,365,556,499,685,705,281,
841,241,690,850,226,180,769,268,123,794,679,474,036,609,491,938,106,485,633,
722,100,000,070,445,839,547,095,125,591,379,562,572,701,896,637,187,846,240,
004,534,000,136,199,863,668,598,188,186,293,269,593,744,612,578,983,658,345,
891,914,338,631,269,938,224,351,246,345,647,756,341,250,569,807,629,559,418,
835,567,546,307,036,765,752,249,776,130,268,014,325,480,366,904,485,821,033,
261,385,217,654,821,393,052,779,635,308,740,880,282,679,597,023,662,911,761,
656,035,754,253,509,247,399,683,996,849,580,866,121,741,217,878,877,015,061,
695,944,084,086,882,304,127,212,949,183,015,418,120,896,301,174,762,547,605,
798,873,902,057,011,797,762,428,668,605,028,140,860,260,345,381,562,935,234,
793,960,141,450,970,245,402,333,094,128,755,203,657,760,641,503,890,259,796,
891,784,036,515,611,231,700,158,277,511,119,803,127,018,003,558,320,935,920,
524,182,893,662,483,310,552,292,167,135,666,819,314,327,782,772,439,596,340,
512,492,135,393,738,805,638,130,776,536,013,179,961,539,217,569,194,305,653,
825,999,442,662,136,090,658,901,201,797,426,882,806,487,988,689,255,899,785,
332,074,399,507,313,100,361,364,667,438,918,785,645,567,371,300,267,004,765,
023,651,072,796,463,631,299,823,560,243,573,796,224,811,661,997,248,788,491,
317,107,566,582,511,437,108,025,725,749,359,961,224,358,439,427,857,441,172,
145,035,443,352,205,431,109,487,131,468,305,792,812,863,038,700,496,996,391,
869,913,397,097,681,683,245,662,891,508,617,122,109,222,902,550,984,291,468,
412,047,374,111,405,473,944,997,993,771,209,003,167,951,317,409,135,275,162,
792,946,725,304,439,143,140,221,985,413,132,489,377,455,831,775,597,293,919,
271,819,674,278,005,384,850,008,607,143,468,291,825,796,276,248,158,417,413,
969,401,811,411,485,366,086,580,037,977,810,043,543,838,140,473,984,791,196,
208,816,218,365,532,053,296,596,953,099,818,437,913,316,293,501,611,989,429,
696,832,854,178,640,553,311,040,036,517,498,741,708,966,709,496,820,561,857,
564,949,718,861,370,103,359,790,498,965,375,350,983,064,647,264,095,026,565,
788,044,306,439,897,562,906,201,953,289,679,212,933,897,995,753,213,291,432,
833,585,610,722,199,237,881,714,026,997,120,488,056,625,314,903,298,580,460,
766,146,085,601,235,138,884,977,334,074,563,147,800,818,185,697,091,779,019,
466,615,515,042,181,846,322,690,093,245,687,298,084,869,958,505,722,817,045,
952,765,486,175,359,747,288,301,391,708,251,533,144,532,536,926,971,526,852,
788,128,567,665,109,160,939,823,778,858,356,027,589,335,349,932,133,067,435,
179,308,678,124,875,707,375,857,917,212,425,316,599,739,128,254,101,081,675,
218,387,327,278,677,607,413,536,701,683,663,853,822,364,726,607,250,559,259,
307,998,527,784,527,367,458,016,404,474,870,843,306,659,034,296,491,373,469,
160,766,007,258,655,772,349,405,139,466,877,058,242,023,130,024,109,224,407,
197,511,367,963,035,320,583,180,709,455,682,563,985,506,581,347,675,392,949,
470,734,915,018,420,801,497,160,905,572,609,016,485,580,690,522,562,840,869,
113,950,252,016,989,680,706,223,214,719,725,024,262,313,173,321,046,898,711,
853,084,453,627,824,754,383,694,027,809,418,264,682,854,527,543,531,182,820,
778,140,659,159,463,922,286,276,583,614,270,761,384,396,801,633,648,601,269,
005,269,275,019,231,334,176,925,728,137,925,804,096,309,190,241,759,274,085,
073,711,854,639,217,118,739,499,561,787,610,861,447,244,831,289,861,133,030,
384,688,469,397,056,313,437,848,237,973,291,227,933,927,132,633,354,299,586,
928,427,187,284,173,960,939,880,090,307,032,933,545,148,142,840,740,442,150,
210,107,366,647,808,946,748,126,484,696,392,571,668,396,915,373,259,892,202,
994,143,921,506,300,706,585,065,363,679,798,792,051,681,492,885,877,855,349,
006,270,077,324,388,957,759,551,903,691,466,293,230,652,072,593,061,341,532,
805,468,294,817,518,718,101,758,050,075,642,713,543,100,350,926,171,712,066,
055,562,728,793,071,500,496,726,962,911,864,321,526,786,007,588,006,338,524,
182,873,524,717,133,896,638,665,433,535,330,450,590,453,989,857,781,775,538,
544,406,407,835,941,544,004,622,841,002,956,477,606,307,605,761,300,163,211,
748,351,407,441,417,576,226,612,085,746,608,686,977,508,972,634,220,050,851,
120,907,083,924,319,976,660,984,107,251,703,640,584,698,261,157,382,312,817,
195,228,518,648,267,522,624,478,932,419,611,621,440,931,792,600,726,930,005,
093,880,779,017,088,553,501,917,633,505,309,274,504,904,083,799,328,537,816,
919,980,017,587,601,876,972,917,500,759,559,764,021,234,394,644,953,222,175,
447,493,507,415,916,791,151,914,142,340,895,741,011,548,745,126,082,711,016,
615,662,165,009,447,553,688,757,581,427,303,141,873,677,760,338,067,458,524,
985,722,989,270,455,601,595,454,149,803,257,450,390,827,915,676,621,280,523,
897,973,188,573,695,766,509,067,642,646,977,041,566,956,045,687,259,508,716,
256,512,153,031,474,468,032,715,135,716,870,931,138,703,515,261,197,084,229,
033,866,307,057,920,646,484,586,741,976,665,263,693,002,161,084,295,505,221,
785,666,388,018,685,116,539,171,233,625,461,355,937,043,721,360,012,824,246,
495,887,856,668,006,709,140,156,557,942,709,016,069,385,799,463,601,394,786,
510,885,190,605,426,253,749,948,359,764,112,512,500,921,859,176,158,303,534,
001,450,486,586,402,495,105,349,981,507,185,232,676,630,910,772,299,073,072,
581,182,720,401,173,866,866,789,870,966,303,658,715,994,137,981,405,370,029,
048,249,777,419,029,640,281,997,039,517,304,364,516,401,584,709,845,350,934,
272,232,973,224,681,960,614,866,006,310,679,735,639,620,836,451,073,527,678,
102,264,690,772,364,866,664,293,913,462,776,682,601,459,527,407,219,236,701,
805,639,590,718,504,160,626,245,451,608,647,116,827,033,428,705,677,962,971,
520,977,233,764,439,023,329,735,985,860,396,642,852,382,505,033,685,233,647,
705,259,452,812,386,495,362,646,932,871,274,047,201,387,247,919,101,911,620,
518,338,174,662,914,344,803,033,556,061,471,139,945,968,735,227,044,034,790,
074,145,868,340,104,856,482,860,330,282,839,061,975,158,107,694,778,504,977,
581,231,719,037,017,657,001,373,730,955,344,543,574,444,241,834,586,433,249,
905,723,254,890,317,973,758,178,123,995,127,746,112,508,699,829,594,189,508,
033,412,546,414,518,931,726,762,561,771,089,965,029,950,881,762,916,213,877,
960,429,803,606,780,636,279,464,656,709,709,745,717,886,682,732,761,265,618,
398,142,135,301,507,412,234,267,137,797,492,472,571,040,581,806,598,460,124,
115,833,279,477,234,223,576,936,043,760,302,473,039,020,198,311,277,350,308,
191,053,915,615,340,111,271,101,616,075,747,393,296,827,119,484,176,626,948,
853,868,006,595,206,778,144,568,588,496,461,194,680,801,416,658,090,033,951,
051,601,281,236,470,992,387,327,320,692,220,372,093,943,810,326,465,630,046,
951,738,741,184,784,398,161,817,295,147,475,257,153,325,475,332,352,209,006,
213,788,356,659,115,509,340,578,723,310,690,094,897,693,424,456,375,545,879,
888,640,784,869,791,268,950,173,775,018,882,402,994,387,182,819,720,129,447,
485,001,167,417,700,691,315,917,290,272,600,323,066,550,235,193,436,498,348,
276,584,997,489,042,367,304,373,907,182,427,074,458,748,659,370,465,774,627,
989,750,728,982,242,663,788,711,145,163,633,520,088,101,950,639,413,976,627,
662,847,428,679,307,612,159,439,921,102,710,623,612,774,095,407,287,810,931,
972,151,902,876,377,789,641,904,504,869,876,885,147,392,615,571,326,318,571,
325,245,823,774,889,143,508,566,470,732,427,150,929,129,508,647,561,270,465,
416,098,438,631,996,624,170,489,194,658,220,880,898,507,493,440,624,891,354,
777,271,646,650,908,933,977,399,158,872,933,064,742,755,429,737,364,768,186,
366,085,516,622,881,621,046,517,279,551,963,790,990,586,762,511,311,796,155,
299,729,425,843,486,001,572,561,399,924,018,613,486,261,571,890,686,040,512,
620,586,295,198,037,288,509,532,646,814,528,337,225,221,138,010,446,200,760,
346,761,502,811,828,703,808,561,549,010,061,483,958,084,099,012,135,950,561,
339,319,916,718,753,682,696,637,993,492,657,806,684,083,402,788,968,713,721,
108,993,102,274,229,889,695,261,891,935,096,663,919,687,810,796,807,384,496,
689,498,369,144,961,483,924,943,309,343,753,628,384,088,490,685,676,522,460,
163,064,642,455,182,905,921,142,857,713,061,901,351,729,809,641,192,717,236,
672,516,058,934,062,855,414,267,297,458,573,872,583,179,467,182,622,784,549,
656,589,642,611,064,713,450,409,590,297,845,595,613,995,395,880,220,534,167,
166,749,737,677,651,750,085,257,977,351,963,169,367,280,628,819,520,318,701,
304,652,498,291,402,843,108,008,639,881,702,024,302,756,151,182,409,592,927,
116,611,344,252,285,813,129,268,446,394,629,227,394,823,001,569,166,651,358,
156,364,625,169,180,631,625,007,470,490,870,143,775,744,352,832,477,068,106,
811,297,128,786,137,985,453,514,527,737,521,113,284,602,257,525,486,942,212,
388,342,718,003,818,905,537,161,050,727,313,615,606,933,140,412,285,618,813,
320,220,980,458,596,812,383,237,121,075,132,908,376,139,319,245,154,289,249,
761,839,602,418,979,150,868,474,466,480,764,896,008,419,914,198,827,637,520,
618,502,549,659,190,335,776,073,702,334,931,458,178,684,109,231,256,361,744,
944,942,604,172,735,119,366,249,211,565,038,119,141,854,921,124,576,085,828,
872,135,539,524,834,679,716,106,220,302,119,937,305,227,084,757,138,979,835,
683,267,866,616,543,457,817,028,219,054,065,732,952,739,519,591,494,775,106,
728,027,384,325,011,184,428,469,161,510,639,253,924,564,426,936,944,214,700,
130,595,215,657,731,085,845,462,847,217,835,006,992,733,278,111,278,523,521,
687,181,692,666,817,616,339,500,152,093,021,389,907,200,384,523,017,207,524,
348,704,868,022,029,552,607,976,406,035,659,481,899,189,445,174,217,612,429,
408,375,014,513,341,627,987,999,204,559,189,564,237,874,352,439,686,078,684,
667,641,292,288,631,006,366,019,972,837,358,611,510,144,926,847,850,192,213,
867,156,450,744,443,086,221,950,840,797,878,859,339,110,934,766,949,823,886,
527,111,833,133,127,239,781,324,297,882,452,604,179,601,959,499,824,459,408,
277,409,466,965,876,493,288,215,302,406,434,086,743,522,205,714,304,732,658,
411,423,596,399,962,693,885,359,551,862,811,189,810,656,593,627,686,363,030,
297,621,288,899,230,774,593,185,742,058,234,295,275,313,807,192,201,014,534,
607,619,254,071,098,629,196,121,306,572,818,898,393,183,034,670,570,556,498,
082,216,815,078,925,941,298,057,609,495,955,718,261,763,768,326,082,995,761,
213,925,326,172,934,840,108,644,664,821,384,830,119,661,365,333,843,227,427,
506,191,989,701,875,436,568,529,236,067,621,433,431,841,742,168,620,364,936,
126,001,883,095,228,368,652,803,805,856,175,032,840,390,744,153,541,314,330,
086,273,973,743,307,900,539,679,124,582,039,189,082,542,800,413,589,690,158,
210,617,223,756,976,590,663,805,153,204,899,748,582,059,645,265,523,058,903,
410,590,971,186,073,787,790,718,915,442,357,201,392,176,051,859,918,047,307,
896,852,736,221,266,391,201,484,397,203,007,631,777,445,885,620,165,794,022,
352,148,717,522,950,727,899,703,141,646,205,084,834,607,773,270,411,683,136,
243,666,547,764,034,558,539,802,888,064,019,798,968,671,992,842,766,984,650,
617,916,357,522,333,248,162,085,026,794,888,714,527,291,366,996,103,891,940,
802,546,951,922,510,273,696,993,092,736,905,347,916,444,315,045,593,285,247,
344,148,312,618,523,703,521,742,763,662,804,036,599,577,189,976,596,725,763,
947,125,728,771,202,945,884,454,177,617,449,489,562,558,792,272,994,683,064,
951,215,514,804,572,296,720,066,146,135,324,882,880,653,564,571,323,982,481,
450,554,962,016,788,243,550,734,867,845,235,867,460,490,841,162,061,892,284,
692,457,795,779,811,654,983,937,160,728,450,681,217,597,971,362,245,176,269,
564,399,926,434,785,248,345,329,437,064,214,389,205,035,163,205,418,280,606,
561,050,373,492,267,184,374,545,798,580,752,691,221,920,689,381,093,721,798,
151,683,665,778,383,440,598,650,083,987,570,559,662,996,945,760,138,423,022,
271,931,979,964,061,143,892,021,568,762,986,484,087,154,230,006,077,641,638,
820,837,456,239,660,370,031,102,466,977,857,194,208,063,201,107,638,420,147,
992,277,492,687,568,251,311,687,995,799,617,243,441,912,320,031,039,090,586,
767,067,209,325,937,492,679,207,277,521,708,871,353,545,814,206,203,396,801,
125,763,430,685,852,654,555,765,431,945,932,608,085,644,650,551,119,627,666,
821,518,553,556,102,328,954,769,533,206,702,819,575,743,697,877,320,693,021,
355,268,349,750,320,305,441,263,066,901,464,969,774,289,385,378,907,380,959,
253,601,789,322,359,473,636,880,838,680,554,809,808,099,697,818,188,222,022,
066,548,902,677,928,733,357,736,563,356,567,155,303,829,859,497,596,788,024,
382,065,742,477,397,017,448,034,345,750,133,938,643,316,434,213,024,060,086,
419,626,559,198,016,016,160,582,794,481,285,356,004,308,751,661,582,892,859,
721,307,696,584,266,596,617,258,560,621,333,985,017,369,641,358,954,582,383,
192,506,409,340,872,678,849,856,641,154,611,365,711,782,822,585,189,533,011,
620,949,032,354,137,346,596,886,230,351,482,375,603,414,149,941,604,399,062,
953,384,201,812,615,079,812,316,096,077,296,327,288,427,066,824,639,280,616,
556,428,229,391,662,026,082,449,538,377,803,433,034,172,703,842,561,171,736,
962,413,224,998,479,237,156,071,679,392,469,017,338,571,133,914,859,851,662,
290,788,642,676,758,324,219,212,944,785,520,286,748,689,816,189,400,052,667,
545,365,381,501,907,391,721,163,666,422,397,349,649,194,656,167,913,553,512,
729,848,460,534,843,805,484,853,532,621,089,623,938,100,295,625,062,527,441,
539,281,385,459,196,123,267,146,388,640,194,223,604,278,698,450,212,314,123,
332,165,015,006,330,851,585,778,388,445,136,104,941,693,504,100,416,118,165,
522,715,817,149,660,339,859,813,712,445,318,902,700,368,311,419,782,341,642,
277,535,555,561,365,760,438,866,897,272,378,454,506,101,856,738,587,868,429,
934,808,319,749,006,400,949,847,653,904,592,493,795,622,130,927,632,870,828,
202,120,386,309,457,121,595,692,588,437,479,242,982,423,987,473,182,624,657,
285,734,180,221,880,603,607,260,555,006,828,328,262,323,956,563,973,933,145,
746,659,893,728,771,090,510,731,419,978,686,018,304,389,553,483,678,118,461,
372,222,225,899,819,381,404,328,516,432,541,786,540,426,008,006,111,062,174,
139,279,166,777,227,808,272,442,347,599,381,590,706,514,486,969,858,112,607,
907,572,506,939,119,358,213,483,839,447,977,291,030,832,005,191,029,796,296,
848,437,626,934,963,153,391,574,900,451,816,943,896,638,507,515,190,780,771,
088,210,324,892,158,140,285,971,989,880,807,187,528,900,978,125,644,674,374,
061,295,813,274,194,579,175,954,372,287,684,254,002,237,334,952,171,465,116,
688,028,983,801,816,484,465,202,210,918,916,260,576,143,601,701,389,922,986,
473,776,860,452,068,341,272,478,134,579,147,583,376,371,095,221,856,846,080,
779,628,111,926,772,028,973,137,133,826,544,247,274,473,328,596,166,126,979,
639,477,428,792,355,673,396,865,088,231,211,008,215,197,670,019,063,752,429,
456,150,920,480,488,580,606,603,863,339,476,051,209,871,103,973,513,761,196,
932,018,564,677,433,342,104,478,465,690,428,773,620,451,073,605,369,395,462,
665,276,269,940,907,359,917,478,919,139,713,920,130,127,909,583,322,012,207,
821,099,299,360,881,289,845,596,726,196,142,969,061,513,163,812,203,981,342,
421,676,868,936,355,459,512,913,415,120,002,897,234,038,098,875,521,920,270,
740,914,681,515,927,419,802,110,999,199,673,750,842,994,041,339,277,991,541,
319,037,924,586,442,545,714,362,056,370,557,602,820,469,635,467,473,897,266,
549,438,156,926,060,464,984,600,655,076,934,935,563,306,397,749,799,817,602,
813,641,594,121,159,018,480,312,664,887,944,084,628,753,404,676,396,751,517,
290,637,238,773,487,641,033,993,829,283,256,758,198,449,498,041,726,065,442,
672,184,022,775,136,305,034,348,858,976,060,176,235,915,758,195,760,032,744,
551,653,747,781,010,233,654,653,758,922,807,021,139,564,819,400,095,211,761,
002,008,620,390,712,812,174,558,692,441,714,106,837,334,326,359,479,367,051,
097,397,173,780,476,992,346,481,236,498,684,054,789,004,974,471,438,533,898,
141,804,954,602,514,002,032,838,650,480,037,496,883,837,938,251,976,074,589,
618,609,548,822,708,916,829,234,900,837,394,324,692,469,304,434,517,968,525,
833,416,824,345,001,808,742,271,560,172,068,769,920,831,891,890,801,993,203,
332,872,614,672,600,391,419,197,227,229,911,239,209,798,780,267,977,187,503,
957,029,036,330,685,702,500,423,748,104,243,992,826,464,063,650,861,118,580,
626,601,278,819,922,988,500,398,697,776,841,113,114,839,221,839,353,844,347,
436,389,098,497,991,068,504,101,449,814,339,668,713,592,138,030,366,083,743,
189,033,834,349,388,920,416,930,866,767,857,049,817,409,802,039,099,720,716,
143,738,524,626,513,205,873,319,289,792,987,205,899,879,008,590,733,602,862,
753,229,381,030,210,238,912,105,473,120,516,607,516,015,060,459,228,030,752,
885,696,594,903,244,807,860,394,667,654,637,921,304,012,864,387,257,633,805,
030,495,456,558,009,291,134,585,427,781,315,549,165,365,207,764,220,348,238,
850,454,096,730,577,077,322,848,660,386,554,243,218,737,917,405,990,268,829,
164,785,601,142,480,917,357,681,905,114,577,428,604,668,588,198,939,689,273,
642,726,426,719,544,513,628,107,687,964,017,487,039,458,657,887,737,617,700,
570,082,732,107,883,749,575,528,552,981,753,371,075,155,420,533,043,929,103,
740,715,996,546,368,063,057,898,833,056,909,188,065,431,228,431,735,719,089,
745,955,456,755,453,507,203,857,233,240,686,641,594,564,746,709,491,574,399,
180,100,491,557,434,095,777,028,202,211,964,725,896,529,083,776,502,803,194,
757,284,900,054,497,116,660,488,269,053,638,439,519,127,023,319,305,145,024,
257,581,423,272,203,650,740,000,256,908,687,343,468,688,592,863,408,204,054,
787,374,006,514,600,207,627,117,145,968,807,221,484,224,249,635,276,660,800,
493,296,313,162,349,769,179,860,386,811,632,356,154,230,259,775,104,536,140,
575,820,206,524,954,557,769,219,410,737,194,356,493,230,842,946,021,548,399,
868,000,980,796,139,927,021,238,963,180,493,128,457,348,516,921,606,211,713,
774,063,408,087,652,993,837,473,881,937,993,699,616,886,461,613,352,161,472,
891,563,658,735,113,646,913,030,726,822,954,086,645,607,859,034,775,214,097,
328,566,840,995,771,469,565,634,252,135,276,866,605,597,767,727,860,239,758,
701,409,093,208,410,226,387,051,313,180,718,156,572,768,426,942,982,120,935,
348,525,747,127,456,420,462,253,893,665,119,748,546,060,383,063,638,350,671,
451,062,149,875,161,867,184,220,168,212,801,727,648,304,987,213,509,287,108,
637,567,228,067,504,192,073,693,264,155,007,927,539,266,692,350,148,952,336,
780,983,394,189,922,264,511,547,632,181,956,938,159,119,115,065,493,720,970,
069,113,651,754,339,007,453,456,327,668,187,191,027,939,014,160,302,359,747,
093,822,507,477,893,358,813,396,163,051,486,120,077,914,970,700,858,657,671,
890,487,278,218,160,448,358,323,942,936,793,980,487,664,646,495,193,085,318,
640,930,411,069,965,441,433,969,757,246,899,227,507,892,840,375,467,903,642,
437,609,676,671,004,398,097,888,723,606,252,167,283,316,935,427,255,206,605,
996,108,859,926,641,503,212,762,424,591,247,652,798,159,405,870,260,309,098,
641,201,741,434,069,076,152,866,947,859,797,606,758,236,777,665,791,565,445,
593,190,970,222,081,756,244,576,127,489,750,974,826,978,807,928,005,131,961,
058,257,995,302,251,492,521,228,952,504,865,691,473,363,502,227,089,019,961,
174,726,487,796,238,710,919,024,322,106,582,486,929,803,041,248,446,364,476,
567,731,003,843,495,953,541,696,275,658,177,122,328,105,468,826,294,155,548,
514,552,658,722,144,410,065,282,051,709,044,290,402,065,561,376,768,653,421,
771,786,638,796,429,917,639,453,923,652,813,432,576,118,424,716,067,052,017,
568,198,473,204,881,757,864,416,836,682,318,246,928,519,654,771,083,702,681,
976,249,870,237,726,725,914,455,757,038,119,048,673,409,617,475,157,564,754,
452,299,991,320,065,453,578,083,657,609,176,606,760,434,099,603,351,370,086,
739,295,174,592,748,404,280,002,650,676,913,716,490,644,576,926,775,736,160,
155,782,099,430,210,354,798,632,886,698,338,297,689,765,134,510,213,499,347,
594,985,688,140,252,923,238,758,939,540,379,778,605,198,245,074,503,771,826,
622,207,799,703,582,173,638,528,213,318,945,247,053,045,451,828,919,688,396,
349,855,119,319,828,298,662,126,968,931,012,030,055,225,345,895,001,726,575,
411,520,226,354,439,633,688,760,067,502,215,384,815,680,996,850,313,309,708,
709,135,438,522,606,813,170,196,067,433,000,517,216,825,299,363,263,037,098,
803,541,932,531,563,854,947,972,238,312,115,592,861,376,236,737,165,910,700,
839,461,048,357,868,018,492,158,260,457,694,608,289,590,601,861,661,327,675,
648,477,930,184,354,415,824,698,245,975,976,738,426,372,188,933,178,758,608,
428,049,698,577,230,056,260,048,444,488,777,236,859,184,451,851,107,250,731,
340,371,952,198,129,601,832,043,583,863,731,047,949,170,842,721,102,185,008,
488,564,062,914,097,002,286,070,085,779,719,500,243,287,523,973,624,162,103,
699,177,717,570,026,693,750,872,221,343,190,239,773,278,257,518,967,610,422,
910,371,992,190,761,796,656,937,386,870,490,679,466,136,353,204,903,622,421,
090,466,430,776,129,500,481,990,696,184,695,970,109,922,547,586,185,471,167,
390,311,870,447,399,400,446,349,998,075,300,500,332,079,491,615,114,288,081,
329,785,585,961,300,931,670,036,461,004,929,258,317,682,670,233,277,840,622,
380,671,355,647,437,638,193,380,547,376,815,331,331,910,031,160,339,184,109,
708,841,380,898,945,721,138,188,596,311,070,449,697,975,575,515,146,505,393,
497,811,898,461,481,873,697,345,192,756,870,327,364,679,591,130,006,179,133,
901,592,949,831,597,795,699,685,925,809,688,161,514,746,816,170,582,235,232,
261,966,875,462,115,071,681,696,397,690,238,510,826,145,669,149,217,582,634,
198,760,094,515,766,641,006,391,590,740,949,726,489,932,290,779,393,756,836,
777,762,390,970,073,159,030,524,268,417,442,742,562,393,208,452,515,048,335,
677,399,937,530,236,873,813,423,488,670,175,382,922,255,685,737,797,734,947,
177,062,178,219,064,456,461,438,866,647,384,377,725,673,153,354,911,006,790,
086,465,567,745,778,036,712,388,905,716,826,642,889,759,578,554,765,530,082,
644,109,811,949,248,038,173,699,216,885,419,927,623,823,916,793,530,198,333,
762,221,050,265,886,709,810,186,275,628,808,689,661,638,802,718,282,431,630,
517,664,999,115,526,492,010,433,388,120,704,720,698,741,160,066,071,982,805,
906,193,495,656,231,235,458,007,065,764,423,333,076,206,352,746,344,263,413,
753,150,697,009,472,276,746,698,464,861,868,484,830,631,821,674,154,890,287,
186,761,433,031,746,347,450,891,443,495,823,588,312,869,163,392,864,281,566,
384,399,390,300,872,308,487,569,839,802,756,392,478,226,298,049,929,898,142,
118,971,195,723,339,581,714,111,303,582,869,614,009,901,166,344,854,570,037,
777,156,023,297,363,548,290,368,481,751,851,063,858,887,626,678,378,779,892,
754,737,548,120,182,703,776,058,371,520,436,908,496,922,703,060,855,266,673,
427,869,952,970,417,993,983,980,521,382,833,487,125,126,375,139,906,505,040,
219,046,527,774,376,957,442,741,508,165,662,783,063,243,694,172,560,150,668,
860,272,288,809,743,914,067,680,165,973,179,277,428,722,932,116,905,571,283,
194,594,606,728,457,325,407,095,423,395,201,245,730,412,545,281,130,295,238,
973,726,906,361,503,364,220,156,942,956,423,491,813,741,509,570,365,140,389,
644,745,635,823,760,700,650,363,730,296,475,682,458,360,271,929,224,906,482,
908,162,590,128,252,807,890,925,125,262,701,472,760,926,204,508,716,502,905,
676,238,681,055,694,513,727,787,479,917,853,437,708,393,811,852,974,061,634,
907,537,733,972,049,515,415,784,366,824,643,384,884,808,619,747,600,354,680,
605,723,248,389,658,536,804,275,738,292,138,871,607,342,586,331,233,543,689,
411,012,660,821,528,591,249,119,742,113,552,401,882,893,111,469,875,462,963,
748,475,747,298,343,799,440,280,967,971,125,896,094,234,952,153,814,017,509,
407,424,788,872,909,753,880,338,327,266,626,153,315,147,350,914,225,888,921,
061,715,546,258,499,060,020,148,438,138,979,296,656,267,873,798,264,177,262,
728,653,930,385,496,186,299,973,318,955,997,860,766,807,434,740,156,940,403,
405,791,852,763,924,488,989,130,299,960,263,567,054,812,712,704,289,233,085,
216,737,392,969,260,303,095,300,487,787,957,146,567,760,862,581,888,836,104,
132,059,911,885,362,538,350,813,458,994,493,059,336,236,643,947,363,631,059,
964,571,935,875,036,251,917,607,766,236,414,804,864,634,070,428,789,280,573,
261,528,207,098,364,315,155,353,031,491,600,929,898,729,696,725,163,254,679,
577,102,263,226,546,576,193,265,777,895,907,440,041,628,201,797,130,981,202,
034,772,320,938,695,846,451,629,117,034,562,661,833,676,386,323,252,106,036,
924,564,056,908,999,417,579,919,069,542,585,566,622,021,971,928,208,344,004,
969,296,023,836,760,607,500,936,413,446,922,599,137,839,482,004,730,448,898,
976,324,397,639,204,108,652,258,476,475,677,032,368,940,528,787,853,250,681,
480,739,384,920,308,457,888,713,516,034,210,401,937,676,957,884,834,293,466,
050,294,830,613,229,460,439,766,344,422,724,442,670,637,348,623,523,632,109,
770,278,615,699,313,029,548,329,674,488,245,409,970,914,938,723,739,530,124,
341,156,028,381,897,228,787,811,971,211,494,025,889,886,236,721,818,685,921,
528,240,383,259,525,874,986,116,076,959,451,362,658,916,497,608,358,197,143,
085,656,047,513,349,354,739,338,450,129,732,311,680,607,989,349,977,798,851,
284,081,949,752,021,488,196,505,914,095,662,483,140,029,462,566,587,175,864,
356,056,357,182,158,236,525,406,323,870,351,513,547,060,682,045,532,179,198,
247,923,529,671,888,566,308,983,690,407,696,645,559,286,868,018,578,213,390,
248,638,694,648,895,307,948,891,537,042,949,613,192,909,485,086,975,244,169,
735,349,162,781,589,866,055,315,497,217,570,169,167,989,662,262,767,601,300,
881,918,950,967,548,847,091,768,283,938,916,744,304,590,953,844,681,171,337,
949,323,126,448,635,704,128,698,700,929,293,793,253,688,372,516,656,084,289,
272,117,141,587,251,505,362,804,342,001,572,583,843,391,896,868,185,793,731,
249,707,811,185,819,677,617,204,078,232,505,208,062,193,324,941,236,514,739,
509,558,941,615,920,464,941,625,013,993,052,807,584,819,640,854,647,986,965,
642,993,649,813,826,939,960,457,578,230,313,277,979,723,819,174,118,989,502,
470,323,093,024,223,341,351,348,597,999,696,655,909,505,594,858,217,771,921,
417,786,500,912,906,259,106,672,188,284,571,779,258,268,075,541,315,366,207,
487,873,511,138,694,272,108,875,290,833,003,209,147,753,282,495,943,435,319,
831,525,419,943,456,834,252,695,246,993,826,941,820,326,090,958,616,009,303,
667,721,741,632,486,056,166,454,962,310,733,798,655,781,205,532,467,087,107,
149,486,879,701,942,345,780,470,661,258,626,848,389,758,169,234,419,997,992,
619,509,124,203,417,649,424,075,192,536,039,401,223,445,659,394,056,591,910,
125,658,482,260,172,691,204,293,123,554,372,520,586,518,620,076,658,585,563,
706,462,198,682,457,713,602,197,779,370,011,145,012,251,367,428,991,856,284,
650,555,900,616,967,290,875,873,260,741,908,845,920,626,913,098,729,649,506,
515,131,134,125,677,402,628,893,329,034,131,984,483,345,391,611,816,842,044,
018,349,718,832,886,197,076,175,916,282,889,854,287,816,676,394,986,559,176,
518,796,186,135,068,770,034,914,893,865,523,830,991,502,129,659,549,088,506,
755,852,020,396,389,390,745,832,005,039,488,213,656,392,601,159,823,486,148,
417,036,271,820,601,073,806,529,127,087,817,061,555,844,543,723,215,136,796,
490,167,660,858,257,499,471,174,860,622,707,929,185,166,549,460,661,282,194,
901,477,928,048,219,909,001,061,575,714,232,416,614,482,963,174,637,171,923,
193,757,729,554,832,899,841,771,596,423,393,761,903,835,701,770,570,522,707,
865,655,624,875,354,248,442,263,113,923,236,240,822,776,979,783,095,955,119,
500,274,650,592,917,120,885,833,888,490,277,294,676,970,962,149,410,942,289,
078,738,937,811,391,044,661,871,018,885,065,663,370,076,918,243,817,324,302,
102,745,649,198,055,613,645,712,080,238,047,461,839,796,081,173,220,258,802,
162,915,974,653,949,412,941,375,228,610,698,914,447,727,398,780,159,887,768,
216,642,448,974,691,548,791,656,410,794,261,911,078,672,496,899,554,103,936,
980,356,903,647,366,094,470,767,088,309,466,508,220,709,800,773,797,820,349,
353,951,972,254,425,704,946,664,315,726,808,260,884,609,351,619,939,614,441,
520,280,910,905,860,507,705,647,601,032,223,095,200,292,234,310,470,733,840,
267,247,069,084,684,696,371,132,661,054,022,745,501,478,930,567,745,782,710,
428,886,441,067,333,994,632,211,682,993,800,863,174,601,926,379,143,817,379,
592,116,211,859,029,713,936,378,858,745,094,859,017,413,829,727,652,655,254,
410,486,450,281,772,654,977,425,727,513,159,821,652,446,380,190,527,128,408,
038,855,294,003,923,728,968,298,956,824,310,049,482,899,277,989,547,890,797,
818,050,432,458,940,800,726,030,181,434,585,779,778,567,399,703,700,841,768,
926,275,935,661,461,800,341,575,562,624,739,330,307,210,873,139,201,966,568,
273,553,134,223,453,024,293,498,813,598,164,202,288,028,528,145,520,860,201,
666,650,937,010,305,259,628,685,182,791,679,013,811,211,753,894,411,249,125,
870,268,608,453,874,598,009,203,904,331,621,727,948,440,841,429,507,485,326,
886,480,979,399,466,256,940,331,603,307,560,565,358,177,368,828,144,835,706,
052,168,527,680,516,170,949,546,952,915,812,075,705,641,539,703,482,006,008,
030,214,880,137,673,473,106,032,932,808,603,217,080,426,070,157,834,345,978,
092,275,510,867,000,459,839,668,609,755,009,380,200,758,325,191,679,031,892,
825,939,629,302,742,503,189,971,549,446,860,267,173,208,488,864,364,747,029,
153,211,687,718,758,321,374,838,473,973,969,601,402,150,073,043,099,562,566,
154,783,379,016,518,607,151,280,830,845,874,685,068,570,768,350,796,521,395,
635,417,018,974,473,709,855,946,000,634,972,820,403,843,582,988,092,366,562,
421,280,044,212,969,228,578,540,493,686,878,195,511,115,072,282,910,267,388,
239,399,668,981,817,840,618,652,121,110,544,677,093,779,781,212,721,849,768,
127,945,269,438,455,807,646,615,409,860,027,760,982,767,287,127,381,079,949,
565,058,456,384,098,268,608,087,154,411,522,753,783,507,962,514,229,906,568,
796,818,437,874,548,899,927,733,667,553,882,813,867,730,992,670,498,112,759,
811,986,615,186,422,448,402,400,889,980,251,009,635,931,587,166,408,713,152,
944,233,147,354,040,626,350,088,552,431,329,880,720,042,179,343,847,450,881,
253,158,537,279,563,887,933,965,594,221,262,703,258,745,093,048,664,516,919,
494,401,791,970,237,892,459,185,431,586,780,668,113,249,603,939,546,585,969,
660,873,547,438,875,070,558,248,817,619,103,794,697,007,177,625,624,517,719,
881,924,971,344,429,796,237,536,454,839,849,540,552,199,868,254,038,222,554,
400,436,338,460,517,917,236,520,924,295,422,488,266,307,774,444,336,286,232,
402,575,536,847,888,031,157,177,258,051,721,440,208,431,121,994,596,760,064,
865,393,050,645,385,375,873,138,553,851,803,678,326,121,638,681,262,517,174,
472,231,333,963,896,887,536,689,622,587,980,986,263,395,347,909,508,091,498,
164,311,646,695,775,838,308,090,969,522,050,959,610,941,858,410,654,153,306,
400,770,904,481,851,130,325,122,911,690,934,888,738,437,058,922,859,426,184,
354,700,428,803,510,541,859,365,642,365,001,558,783,718,280,989,469,549,959,
266,908,153,062,296,019,104,552,949,846,670,217,492,859,369,308,680,216,840,
836,323,992,508,304,037,270,141,599,204,634,104,580,854,827,894,655,750,141,
476,425,986,098,753,480,339,886,487,840,686,824,869,563,102,382,309,133,244,
543,402,474,897,768,114,310,164,042,974,442,347,978,549,388,109,624,559,781,
512,929,144,550,994,618,582,627,987,796,035,493,771,960,327,478,700,223,961,
368,250,894,557,268,686,209,894,963,753,725,538,372,314,288,753,328,233,453,
545,199,925,721,949,811,167,085,921,292,663,981,868,282,016,119,795,813,587,
395,539,311,200,079,993,606,243,044,739,866,521,726,006,986,158,571,646,450,
124,542,015,928,996,095,063,559,305,200,378,256,662,575,347,677,320,941,829,
419,992,547,942,396,534,464,596,328,177,097,122,518,110,033,053,834,598,655,
375,251,164,865,401,547,405,346,241,716,138,717,341,658,546,802,790,515,135,
486,535,292,992,818,160,055,887,821,944,044,353,618,999,005,916,026,978,279,
014,942,978,655,543,488,266,906,283,573,516,721,276,985,155,667,227,328,942,
602,578,084,438,789,920,392,852,118,684,831,853,775,920,025,431,369,592,331,
743,198,506,785,455,964,403,661,506,158,782,501,523,535,745,698,838,608,261,
128,753,707,974,089,074,036,695,260,852,805,090,889,608,287,135,164,451,072,
891,463,600,800,594,471,155,106,013,805,522,787,801,244,768,755,715,342,938,
326,403,424,289,197,726,910,664,794,674,179,711,252,435,282,976,524,607,071,
155,342,165,134,468,597,164,778,316,959,500,283,595,560,726,773,186,607,317,
707,377,097,852,938,938,785,939,102,412,856,180,100,779,546,598,452,331,337,
252,244,985,461,851,028,105,568,234,318,530,723,798,157,707,469,512,290,244,
366,524,847,371,484,688,473,779,526,391,885,766,169,234,949,323,304,987,664,
212,314,555,050,547,525,968,467,435,712,530,208,042,464,599,840,133,391,687,
207,478,633,821,243,701,955,053,731,025,299,000,907,408,820,684,405,542,920,
253,576,830,917,048,249,395,988,631,615,954,360,237,644,237,923,042,925,607,
661,550,679,261,859,399,858,141,150,637,946,987,579,237,490,035,013,427,730,
000,450,577,272,883,823,653,221,057,032,319,165,167,508,242,844,892,265,973,
894,378,220,735,559,770,049,535,189,308,735,443,594,761,690,019,237,933,473,
423,100,972,791,524,850,308,449,245,159,237,136,122,768,818,847,888,108,091,
685,254,365,896,507,501,591,823,210,936,140,032,392,458,610,120,378,085,825,
957,242,886,936,148,426,861,323,969,897,922,597,810,797,732,467,247,002,291,
127,642,440,565,874,403,030,948,745,247,747,151,451,883,513,135,402,438,084,
861,727,015,887,921,023,258,704,730,373,794,342,558,229,698,887,216,143,885,
431,088,236,238,398,887,901,398,194,877,030,102,619,181,695,497,557,189,466,
529,479,557,961,500,878,697,417,270,357,428,866,052,851,311,580,510,442,623,
944,358,760,126,650,236,684,767,056,389,536,963,030,003,216,290,589,975,585,
365,368,968,482,063,743,584,191,808,957,842,102,691,397,600,148,721,690,667,
219,344,224,602,512,028,677,338,143,890,219,329,350,137,571,942,996,502,008,
689,154,766,660,419,270,833,132,524,247,821,790,070,152,795,846,633,257,387,
212,232,116,023,221,331,315,520,049,121,714,033,384,944,401,184,853,358,300,
801,517,948,450,360,804,260,618,014,813,022,004,213,231,946,556,620,845,758,
070,368,399,691,746,818,085,195,739,762,635,682,581,191,171,755,346,482,840,
512,445,190,879,188,913,797,472,104,316,248,300,911,076,811,558,450,370,947,
734,086,490,366,953,428,072,232,932,396,092,629,807,442,179,940,620,772,670,
637,231,214,212,611,620,686,864,528,885,988,476,670,246,977,718,629,102,237,
153,444,344,888,120,264,380,928,285,868,723,178,317,047,026,756,713,431,724,
130,828,307,031,895,556,162,976,207,848,185,217,098,125,304,515,605,991,837,
078,838,154,268,063,249,472,332,237,408,931,694,641,005,214,522,298,192,393,
271,159,502,982,763,878,136,884,435,260,775,935,414,497,018,965,801,741,899,
988,413,253,320,769,972,283,923,329,120,763,539,731,619,107,294,915,408,009,
195,759,911,702,598,587,860,928,115,697,883,732,049,090,613,430,338,957,312,
540,957,137,086,848,948,326,159,272,939,576,306,766,896,293,003,106,686,299,
458,257,804,872,968,819,478,431,476,799,211,890,529,288,350,584,029,595,473,
986,720,303,389,424,753,491,481,466,780,618,608,370,511,693,377,129,352,055,
734,699,809,858,072,063,542,358,894,089,962,047,086,770,406,249,031,801,483,
599,274,311,658,925,428,356,792,204,246,355,393,019,673,770,376,593,447,656,
746,043,314,862,288,863,563,592,515,211,698,759,621,708,889,766,603,955,114,
153,996,549,760,908,947,568,639,393,084,080,242,564,867,213,704,543,730,221,
314,364,898,453,436,859,909,051,465,576,439,352,777,109,490,399,942,706,531,
929,148,602,912,497,925,422,247,221,957,152,776,274,247,048,840,524,413,733,
473,174,375,773,923,824,741,017,287,686,447,591,215,263,682,427,720,650,805,
156,024,884,391,446,258,340,827,108,375,447,706,610,844,867,759,331,296,216,
579,965,081,748,706,753,687,391,458,244,699,059,464,665,422,195,582,795,405,
973,380,281,251,466,779,215,025,047,524,024,746,996,492,238,137,199,773,885,
362,626,986,362,369,627,260,449,299,990,427,781,015,853,425,003,826,100,534,
055,555,207,245,797,661,760,034,615,243,815,496,111,813,062,150,535,854,655,
028,383,747,592,825,467,760,301,404,041,235,045,979,703,802,330,675,442,689,
975,435,486,819,108,368,095,738,230,350,699,986,410,137,498,165,721,669,637,
501,572,183,416,842,918,320,860,243,770,319,732,098,493,188,473,924,300,489,
836,286,646,339,619,053,546,117,239,652,134,374,363,648,259,708,103,539,091,
474,637,749,720,137,232,192,667,070,509,972,830,293,889,133,819,527,854,479,
010,404,964,171,235,531,300,011,621,418,076,736,612,971,355,114,080,150,197,
584,598,435,029,348,139,479,363,013,162,054,378,457,950,090,814,541,649,963,
764,297,781,718,632,465,579,084,995,885,564,949,478,796,415,325,169,759,031,
860,657,587,939,456,170,717,775,580,058,370,331,233,331,021,131,908,222,481,
823,498,231,457,400,633,157,325,141,713,815,472,254,515,555,918,321,842,213,
280,306,934,020,193,000,405,226,964,790,888,318,315,118,587,080,104,254,298,
953,041,065,932,084,555,027,768,566,772,885,233,654,907,340,586,255,328,606,
373,540,168,845,715,505,695,121,394,831,765,099,544,942,585,625,881,975,594,
608,028,227,959,186,392,514,945,207,292,421,759,981,484,062,188,856,160,290,
292,984,042,000,916,848,832,792,915,255,023,224,376,101,144,488,868,186,735,
195,997,976,204,063,255,324,290,614,983,150,152,826,970,475,961,370,619,716,
023,543,360,574,831,258,339,116,799,528,642,461,769,592,431,566,590,102,684,
518,656,180,972,692,755,085,058,112,165,914,411,235,945,385,955,388,027,154,
769,069,266,208,412,755,317,896,588,642,795,306,399,260,855,882,714,901,544,
689,350,915,738,666,059,607,479,862,423,029,236,447,613,402,795,185,069,707,
396,249,984,873,669,861,469,696,403,862,192,318,573,515,353,854,654,298,780,
614,605,314,828,115,675,211,975,433,657,495,034,910,227,894,072,397,180,424,
159,498,420,890,729,454,515,284,436,521,751,164,026,601,112,125,499,800,346,
731,767,173,395,513,583,036,470,988,049,980,424,445,967,256,048,008,109,493,
692,101,229,770,393,607,605,698,519,041,278,940,148,171,333,864,431,547,304,
264,774,376,602,684,763,471,668,757,680,594,294,767,946,668,526,148,017,537,
343,033,614,381,847,425,712,738,456,889,878,908,906,590,690,883,987,646,850,
788,949,467,646,431,822,043,434,121,660,965,141,048,883,257,980,637,833,953,
113,902,644,732,351,741,037,739,513,310,273,831,148,423,028,756,610,032,361,
122,011,520,449,368,692,037,324,460,627,994,587,197,087,237,860,833,113,410,
449,205,250,981,079,873,282,926,655,896,121,320,659,907,780,509,349,968,661,
172,886,107,697,686,331,271,532,543,707,521,016,824,392,894,892,009,918,999,
336,067,753,222,724,217,643,365,663,448,712,701,707,466,307,653,396,217,676,
088,444,231,002,701,521,524,293,464,587,362,432,699,689,016,983,355,200,354,
128,737,877,897,712,943,314,137,168,788,889,456,003,288,700,097,572,327,585,
145,633,011,594,362,177,111,931,384,073,968,671,019,005,846,824,032,871,699,
498,763,363,165,018,039,871,951,959,590,286,684,142,876,094,268,792,360,444,
839,790,459,148,778,376,919,275,462,386,495,833,796,818,208,832,950,313,519,
090,855,225,507,044,111,677,403,343,603,959,144,381,260,767,768,727,808,215,
360,663,294,568,578,939,848,953,744,609,763,205,780,072,687,060,376,924,649,
990,524,949,736,089,500,587,195,019,625,764,419,574,509,334,547,801,445,425,
173,194,075,140,372,087,677,247,926,549,660,372,953,815,365,778,596,355,291,
209,471,315,637,694,748,678,418,234,974,644,773,686,731,739,110,677,779,620,
347,969,348,342,121,886,026,408,813,249,363,489,382,868,296,463,936,220,465,
939,813,868,065,140,229,346,447,907,416,049,938,015,049,113,582,269,656,187,
346,430,726,054,768,259,429,210,265,666,314,664,732,436,838,749,363,841,788,
470,520,602,240,128,653,347,070,595,491,860,650,666,151,961,029,165,388,057,
546,908,903,980,215,478,598,142,744,924,357,807,890,543,526,476,999,183,279,
027,155,637,061,676,199,574,021,528,249,430,146,009,391,387,329,158,925,526,
890,532,455,230,864,814,730,742,735,183,061,360,724,056,947,415,678,289,713,
501,429,472,247,760,051,422,190,702,505,252,323,155,854,336,086,061,390,127,
290,214,890,933,574,121,172,116,348,052,768,969,263,116,070,850,270,838,823,
343,339,456,511,291,121,040,195,705,457,899,113,820,640,903,353,697,609,474,
510,532,586,010,808,079,359,865,712,023,273,208,703,289,797,757,486,018,421,
720,519,549,000,705,661,088,121,266,893,455,277,928,768,940,034,428,840,354,
689,034,592,267,822,382,271,345,902,697,727,689,728,836,238,896,559,256,635,
054,350,734,433,683,535,577,338,876,893,504,079,108,364,326,881,103,818,026,
399,706,400,076,647,258,077,769,491,937,487,185,078,335,479,796,834,001,478,
778,641,118,485,578,012,475,927,919,105,917,994,205,781,199,440,268,387,480,
335,543,520,270,187,949,393,255,909,126,903,219,706,697,042,629,481,720,170,
350,448,315,776,977,980,442,999,783,003,507,905,069,474,211,391,798,962,370,
461,201,108,826,508,999,148,063,544,341,198,608,195,701,652,816,944,555,494,
782,505,477,579,440,428,890,653,317,880,478,893,847,789,577,029,424,352,885,
528,243,788,716,102,558,113,251,442,363,996,320,736,803,808,958,071,604,124,
061,447,590,330,104,700,545,341,361,883,383,563,399,758,216,055,733,851,919,
971,474,234,273,266,726,269,902,646,584,735,653,055,151,766,944,420,485,893,
700,763,330,947,924,909,836,350,178,778,336,928,959,859,539,826,180,635,828,
402,364,415,256,176,514,284,801,238,132,261,484,157,430,719,246,902,605,419,
836,149,970,997,586,063,208,725,751,983,356,965,514,800,079,299,415,853,767,
838,897,194,053,490,024,880,060,590,612,763,325,726,310,201,430,433,449,677,
766,877,524,621,217,252,294,308,174,726,399,523,811,118,905,993,587,853,027,
051,238,310,937,959,811,391,549,202,496,069,980,727,034,121,065,709,759,979,
826,019,334,650,757,634,163,395,374,588,855,336,447,177,784,110,413,869,618,
850,844,436,817,488,690,648,516,389,364,828,331,486,920,618,638,409,428,708,
631,548,852,734,215,088,099,864,583,716,075,305,221,757,902,296,406,073,789,
480,126,021,307,178,900,505,168,498,745,583,822,298,665,126,970,392,989,085,
483,221,429,899,719,580,839,534,379,487,914,811,135,550,590,454,098,707,110,
921,226,749,002,281,325,745,304,226,177,701,294,074,746,568,946,686,198,180,
669,595,267,775,165,485,693,446,918,954,971,677,967,087,001,183,499,354,692,
282,755,187,239,563,972,708,693,665,093,589,405,133,000,192,459,314,690,223,
837,440,802,683,940,352,584,418,933,394,739,415,298,366,150,854,079,646,807,
048,922,537,914,424,822,886,436,934,071,229,106,052,024,205,178,209,271,656,
215,010,948,732,377,692,110,479,542,661,727,220,286,838,350,456,605,095,429,
168,468,853,546,628,253,373,141,483,352,767,659,539,924,071,819,682,399,671,
483,959,891,378,815,864,915,102,406,121,723,963,576,538,087,941,128,648,843,
384,812,115,247,434,885,475,037,006,913,591,343,230,611,786,897,950,388,862,
987,676,501,175,454,014,809,837,487,497,433,940,919,144,499,548,459,720,535,
125,312,516,121,232,837,303,274,392,474,311,718,190,588,504,926,400,316,668,
412,598,526,346,221,144,343,274,972,838,470,851,972,025,471,349,011,347,802,
959,199,985,948,313,461,346,131,047,309,126,713,600,671,278,847,734,699,535,
042,295,705,185,495,459,293,563,199,690,685,956,640,557,472,584,918,257,034,
147,866,561,653,480,503,163,374,375,755,207,041,855,459,549,155,907,841,222,
745,335,311,791,739,020,027,229,887,302,600,141,261,932,865,779,996,911,420,
107,828,149,001,359,908,048,800,234,913,616,767,412,129,649,478,520,077,451,
879,188,564,554,837,668,637,720,168,778,798,804,655,436,512,137,599,973,187,
292,283,124,533,782,363,723,327,745,363,579,743,630,460,137,763,321,493,374,
855,610,108,133,720,420,551,938,070,268,870,198,137,389,722,993,099,278,160,
314,289,786,653,259,492,622,473,575,232,344,973,407,357,770,129,471,943,027,
063,867,633,586,568,113,078,127,059,440,042,721,386,278,209,942,347,280,381,
731,083,610,656,082,053,309,885,940,167,181,031,685,320,901,418,430,929,350,
663,167,511,910,645,600,417,307,372,480,937,199,412,722,525,290,300,795,859,
305,919,334,498,371,603,618,885,498,718,785,052,531,046,605,339,653,963,752,
246,835,355,533,914,716,229,272,130,904,674,284,728,881,443,129,018,454,578,
899,266,657,528,294,087,482,372,066,373,183,976,806,770,310,883,909,745,070,
726,275,094,218,089,287,223,226,539,347,915,109,023,420,302,793,882,452,448,
151,353,815,973,449,638,064,271,890,224,836,083,912,138,732,674,208,998,668,
367,859,744,283,627,436,338,829,836,391,384,149,550,502,490,389,768,408,634,
110,112,293,124,499,287,512,518,876,287,055,271,880,330,663,773,521,925,720,
508,159,922,541,325,204,011,239,544,859,142,507,974,406,626,992,241,919,635,
483,224,945,476,561,489,826,254,311,048,400,594,863,086,902,902,822,305,360,
192,671,515,968,995,971,818,177,040,484,920,974,855,053,391,116,795,869,288,
026,447,466,016,441,791,210,869,850,161,794,852,255,558,995,293,851,201,360,
479,031,109,767,087,162,990,585,054,751,920,130,336,100,496,917,385,880,929,
121,282,580,998,779,099,111,896,521,041,492,734,486,530,745,885,187,461,380,
427,166,187,329,348,721,218,244,804,526,189,758,782,679,279,953,182,787,772,
514,083,902,750,040,581,245,025,546,385,357,275,235,967,095,835,298,062,552,
439,595,181,090,718,454,418,147,506,169,027,077,580,551,342,910,408,660,415,
419,727,864,527,476,631,673,052,284,419,306,128,761,069,603,409,036,350,632,
731,663,740,090,050,110,883,741,257,137,128,610,995,446,909,366,023,908,918,
931,793,305,071,642,120,216,089,859,227,645,309,514,584,312,974,465,977,354,
031,205,759,461,693,849,932,709,072,501,630,551,269,351,266,845,663,276,791,
356,833,826,289,277,421,494,857,667,394,596,017,356,280,641,449,289,395,214,
830,809,676,977,907,425,250,804,334,508,121,583,209,484,574,434,947,447,498,
227,027,169,725,469,008,456,926,559,390,331,209,586,384,093,811,990,046,743,
189,917,601,541,943,248,439,623,731,801,609,855,854,320,985,399,692,716,494,
327,764,489,855,503,426,910,613,446,132,544,134,740,033,582,997,414,843,673,
075,772,345,143,468,761,213,091,920,577,334,751,269,613,863,562,532,172,914,
939,574,070,074,821,582,868,500,109,854,191,640,262,135,590,808,758,663,935,
799,917,027,410,659,132,047,496,212,966,492,349,961,992,244,421,333,326,188,
276,109,992,507,590,636,277,896,881,717,346,097,348,904,400,799,497,162,189,
776,725,057,779,623,783,941,481,830,325,698,549,037,576,993,485,387,273,720,
094,381,826,457,821,597,551,848,065,555,935,880,458,083,659,348,335,766,611,
035,528,673,388,380,378,259,155,589,998,265,197,044,612,072,782,400,418,878,
536,386,731,169,384,977,033,832,719,141,781,295,051,321,869,063,031,578,865,
076,573,709,290,782,131,004,361,918,401,625,432,523,912,758,864,162,702,017,
605,938,519,606,671,649,719,875,301,445,119,158,929,499,836,378,997,433,798,
109,874,016,810,263,312,404,696,896,674,978,023,327,627,118,403,579,975,944,
345,424,020,003,048,887,023,743,791,068,983,356,205,915,072,977,085,975,096,
987,944,173,043,984,653,679,055,655,613,183,974,979,407,494,870,522,642,265,
481,054,614,993,959,805,372,022,515,513,915,000,339,073,244,496,767,793,778,
173,316,357,494,316,580,437,679,918,191,697,942,105,187,017,100,795,006,453,
039,944,841,919,082,898,912,131,250,944,350,754,578,518,759,176,488,519,614,
838,489,083,455,238,480,463,257,865,879,138,428,572,990,555,464,444,456,809,
152,983,894,130,379,234,225,938,900,205,632,281,964,254,334,490,699,007,050,
735,703,958,144,002,804,578,112,024,543,240,917,698,621,256,136,657,902,845,
573,572,919,213,793,312,725,595,090,710,253,471,329,699,458,681,307,357,964,
199,090,839,633,447,026,334,455,138,022,737,693,807,092,637,870,241,979,751,
327,564,777,073,551,882,640,403,139,576,119,802,911,285,961,499,758,267,811,
284,181,451,325,216,367,625,440,386,481,463,636,900,470,498,031,909,536,377,
436,731,825,142,570,409,768,618,343,949,056,230,298,791,228,922,936,545,212,
224,515,288,266,055,455,325,664,802,607,487,441,070,289,253,596,776,163,378,
390,773,077,606,392,434,444,806,744,395,433,644,573,783,175,110,752,944,028,
594,003,279,139,653,665,737,553,903,186,126,857,717,706,357,612,192,475,541,
422,094,123,001,553,330,701,799,343,863,373,666,730,892,858,521,781,816,386,
478,124,867,056,440,112,371,698,711,538,286,293,085,872,812,245,988,179,976,
369,936,978,264,794,212,073,104,618,863,380,053,487,502,054,693,726,402,820,
996,929,937,220,466,860,122,134,383,111,281,029,325,500,911,222,010,853,798,
547,007,329,235,628,594,058,797,273,510,925,283,057,303,957,749,000,774,957,
502,955,112,650,631,277,776,320,814,263,976,918,523,383,554,927,137,137,000,
715,819,020,313,360,031,379,310,247,010,125,583,571,211,250,781,888,484,327,
501,361,113,349,303,062,736,263,072,757,822,379,039,888,760,646,702,513,432,
878,211,427,528,613,506,520,616,195,633,690,837,059,867,992,568,984,721,815,
263,615,170,222,827,758,165,488,024,367,963,955,361,912,171,455,815,329,771,
614,499,572,553,037,990,547,325,166,163,622,247,611,176,170,198,691,054,398,
268,520,543,737,044,703,257,461,536,775,947,762,546,137,162,886,038,540,378,
354,789,100,065,366,129,386,411,685,843,163,373,774,904,869,103,116,565,541,
688,978,810,694,196,277,388,452,942,843,526,732,893,526,622,527,102,112,280,
752,167,253,445,647,700,871,820,455,211,026,388,012,520,915,140,560,076,904,
131,376,276,668,097,136,431,886,523,328,382,676,515,392,450,951,232,597,236,
370,649,312,548,464,963,315,385,527,406,666,077,778,671,414,630,705,269,626,
759,229,870,779,677,303,983,280,460,682,386,858,690,668,640,181,820,333,419,
367,559,820,336,993,720,157,902,725,545,504,195,695,279,167,035,389,414,058,
834,251,978,763,840,616,376,394,347,060,601,155,539,793,956,220,614,556,253,
475,342,419,901,112,081,239,422,749,302,862,064,869,845,375,261,057,812,810,
434,954,680,879,170,382,287,061,463,492,952,190,634,915,415,704,631,809,197,
226,413,745,826,046,903,449,460,609,478,960,601,418,540,872,182,326,218,669,
509,122,629,200,789,038,041,046,702,316,284,382,592,990,657,203,985,817,539,
273,409,255,816,561,520,611,764,705,407,027,810,686,398,674,359,247,806,808,
907,732,598,791,034,738,219,291,331,676,760,560,947,409,958,425,892,759,264,
847,145,880,643,354,383,324,120,456,706,907,806,288,454,606,202,668,785,729,
241,772,823,788,394,958,883,697,850,287,413,129,983,042,908,292,276,330,300,
444,299,550,171,897,924,596,020,813,372,499,171,085,684,941,168,464,253,589,
683,623,746,197,294,429,046,175,746,226,933,078,485,781,156,654,119,685,679,
875,719,995,813,940,763,761,501,970,371,972,477,011,782,544,124,100,854,690,
824,294,439,572,111,093,278,735,227,971,553,312,415,074,290,916,920,711,332,
836,789,810,862,294,466,365,780,057,613,947,187,772,165,562,284,610,782,165,
689,556,974,314,981,839,157,245,702,408,760,329,781,150,588,505,278,024,291,
901,964,822,662,379,467,530,491,868,254,204,742,569,658,189,057,618,739,410,
002,006,375,798,146,432,402,730,537,859,437,817,159,516,758,415,332,379,035,
755,347,040,450,659,820,317,735,122,673,542,998,565,414,864,166,214,671,518,
410,217,374,861,150,945,027,923,648,937,714,770,177,539,574,238,798,874,414,
716,039,300,196,848,575,750,751,903,620,182,398,988,924,669,598,543,437,041,
157,887,055,836,980,733,659,757,573,910,695,919,347,121,660,534,669,559,901,
293,512,445,364,644,247,449,371,149,540,849,490,410,724,551,498,675,898,478,
217,765,568,979,123,889,405,477,251,921,545,554,124,243,370,166,193,845,849,
966,850,254,130,016,426,215,810,670,419,207,062,798,164,943,480,272,380,803,
784,169,865,209,796,084,510,698,122,389,716,787,302,846,500,785,219,123,038,
625,942,333,424,717,190,042,006,178,877,552,468,389,239,737,642,432,283,008,
541,977,877,698,730,463,192,281,748,038,114,435,029,860,888,333,480,026,278,
743,353,988,880,715,295,595,724,475,559,170,976,808,512,696,370,578,209,707,
370,328,396,606,037,254,487,005,414,636,101,055,678,592,346,743,228,021,748,
366,288,010,927,650,628,283,359,208,061,930,368,274,280,871,484,330,423,907,
441,169,418,191,887,308,596,294,782,744,343,945,178,736,327,327,853,957,076,
675,907,953,461,639,384,080,169,080,993,120,390,647,738,910,338,832,821,191,
100,095,768,020,079,564,899,359,192,569,398,869,980,888,762,409,136,836,620,
138,317,536,357,635,760,985,772,307,290,393,171,307,987,276,551,632,057,862,
828,894,642,183,393,441,613,357,971,377,704,291,345,207,792,221,802,390,589,
775,776,332,408,420,127,693,916,906,202,430,704,293,134,731,993,034,507,256,
422,474,225,424,932,011,773,461,653,061,960,139,800,813,750,566,036,127,797,
380,644,298,915,912,611,553,762,326,488,857,095,344,065,883,660,643,190,524,
876,763,359,259,232,324,916,572,603,541,559,874,572,406,818,159,805,018,580,
791,318,426,786,653,595,932,972,459,218,231,640,338,633,977,705,861,886,706,
858,423,698,689,607,882,388,145,747,925,752,095,111,959,325,791,292,888,480,
985,736,996,871,193,335,684,173,022,125,210,776,229,225,423,838,076,721,197,
370,973,678,263,433,709,204,711,888,645,319,894,523,431,152,828,337,174,688,
070,277,572,986,656,462,997,697,126,411,103,951,559,665,289,677,770,573,251,
285,948,306,354,288,475,957,874,046,740,141,363,232,720,162,164,261,992,262,
571,293,048,314,414,898,261,293,026,469,079,546,439,428,716,469,959,616,699,
851,288,498,524,582,452,282,836,673,161,007,722,448,541,944,683,947,719,213,
771,944,916,135,151,597,155,810,324,952,017,352,331,712,668,179,873,861,455,
412,613,086,852,020,576,984,606,938,046,994,814,019,928,207,304,288,066,718,
208,018,796,336,701,069,685,345,536,947,362,118,530,133,365,433,820,179,429,
547,542,233,390,352,392,896,385,612,998,359,996,419,407,939,948,177,916,625,
000,880,794,400,034,887,353,773,204,304,760,846,534,866,422,529,341,519,071,
462,249,826,427,978,507,022,318,969,934,699,499,697,132,517,877,801,333,723,
534,523,697,298,804,059,417,654,212,515,085,478,895,979,955,583,788,514,180,
059,907,367,397,145,660,274,273,232,908,061,581,901,675,878,201,177,527,952,
971,097,860,088,049,089,884,250,863,570,750,985,625,977,158,421,897,788,895,
435,137,356,628,733,400,282,235,809,458,255,688,935,583,088,558,653,350,668,
525,476,808,839,322,995,990,071,617,362,154,085,879,275,370,483,033,959,233,
392,089,418,385,885,970,774,445,741,349,366,884,426,697,169,872,278,424,636,
102,713,596,704,145,413,651,819,639,266,082,401,992,362,921,807,420,035,948,
589,426,657,373,754,981,590,673,750,705,122,326,689,752,719,820,700,150,641,
033,764,179,559,798,838,103,683,083,041,822,117,589,085,209,603,084,964,678,
110,565,171,564,949,932,255,894,450,460,442,091,298,553,584,972,486,419,684,
988,303,130,174,936,670,266,841,539,347,073,536,231,777,546,120,981,025,265,
524,113,541,563,620,755,179,572,826,845,795,044,299,092,305,026,553,173,310,
110,245,690,123,387,880,632,840,159,472,225,644,466,488,115,416,815,865,014,
799,458,958,278,650,971,767,400,528,715,738,449,299,334,741,982,428,783,237,
191,996,535,404,682,153,598,626,212,496,234,715,393,879,430,169,210,241,298,
343,165,379,066,992,199,503,347,250,364,602,226,443,104,813,871,937,331,384,
792,559,110,609,589,857,410,164,066,779,583,688,415,759,207,428,956,692,438,
088,371,778,887,722,804,502,961,233,627,257,987,020,720,680,488,606,040,866,
748,035,716,680,713,019,289,513,090,005,276,014,771,013,261,570,134,538,745,
667,642,225,596,490,848,186,412,222,755,817,889,192,904,572,586,220,121,601,
836,430,532,195,258,197,191,810,620,273,840,798,724,548,856,601,684,038,571,
561,133,453,037,848,858,776,053,627,848,927,038,738,717,293,184,576,933,039,
746,399,956,300,515,907,434,836,232,132,598,003,225,619,875,660,900,166,455,
244,360,463,380,308,244,488,468,402,288,514,768,256,298,270,963,384,787,086,
595,800,900,458,945,645,594,350,268,618,127,275,520,334,901,934,109,741,276,
662,174,934,448,596,454,986,269,559,870,157,863,552,009,171,884,466,332,405,
913,714,517,724,160,123,632,188,974,150,179,957,540,323,235,515,246,437,990,
909,984,376,341,379,889,578,927,679,469,636,294,169,020,500,538,304,669,806,
969,029,929,694,652,128,918,971,507,276,424,185,038,557,327,406,369,647,397,
040,118,919,103,907,256,670,045,007,046,345,409,983,743,734,663,106,740,005,
194,185,205,719,532,483,541,995,231,205,329,629,641,242,362,549,942,084,069,
991,685,691,778,236,068,611,071,776,153,938,169,596,293,248,552,992,189,344,
930,444,566,476,867,514,383,852,260,408,933,065,966,205,098,483,147,592,082,
272,575,218,433,558,590,180,957,639,482,801,363,712,279,700,151,062,014,608,
583,536,169,569,027,404,105,322,326,658,560,638,412,190,698,092,181,019,205,
751,810,481,812,153,838,121,990,919,469,779,434,830,776,458,673,606,605,272,
579,661,892,815,911,236,288,027,463,687,988,392,030,416,598,682,774,729,600,
177,627,455,456,315,921,218,858,916,027,658,619,554,168,723,505,822,218,138,
316,584,515,878,107,267,394,675,212,841,286,146,350,339,207,435,646,847,364,
756,243,725,839,230,250,110,481,078,214,508,082,341,220,571,326,409,893,429,
495,590,221,968,635,440,802,777,984,993,337,906,701,396,444,946,602,015,640,
121,094,008,198,180,838,389,203,685,551,512,492,946,651,547,236,101,063,508,
544,223,178,625,909,341,164,342,655,492,753,490,354,342,020,451,901,181,989,
681,674,375,866,867,945,842,650,665,056,161,283,767,944,625,904,571,971,169,
801,338,460,711,323,294,542,448,469,985,579,390,426,075,215,308,244,086,006,
652,119,563,195,752,714,333,911,147,285,171,938,273,340,769,711,349,191,043,
327,389,970,642,790,902,010,002,543,754,758,565,609,579,304,729,535,769,421,
638,679,236,387,250,073,014,403,443,566,139,510,570,406,774,870,715,127,135,
454,834,940,609,332,296,190,515,746,870,372,140,320,805,172,762,673,999,513,
703,734,760,464,782,608,268,158,741,084,624,472,069,162,784,360,461,654,522,
863,445,176,928,074,346,178,039,563,767,249,437,585,439,671,698,170,721,815,
408,413,702,572,711,894,228,261,832,979,091,307,466,901,608,927,059,871,267,
387,292,489,943,846,124,887,585,000,185,946,424,156,032,938,889,129,211,935,
354,175,949,800,881,355,473,608,080,885,907,978,166,644,743,656,443,410,175,
888,100,391,195,365,561,340,572,543,735,598,819,906,938,935,954,536,895,869,
048,470,334,141,618,647,383,657,322,385,217,497,649,798,689,982,400,327,340,
583,939,962,073,749,966,707,179,912,503,684,607,567,920,472,045,530,445,036,
896,651,337,860,273,768,827,639,161,898,274,960,008,098,786,542,111,748,747,
485,244,022,804,407,346,749,483,961,837,087,121,688,250,293,376,374,004,176,
381,775,556,754,272,039,241,575,120,212,526,352,068,556,475,970,774,818,191,
003,730,145,965,106,464,171,751,274,512,710,695,653,369,880,637,094,217,966,
629,417,722,456,677,327,802,824,017,194,100,525,478,197,492,160,309,718,687,
650,474,164,390,846,872,603,457,832,322,481,789,412,430,945,682,735,513,766,
879,885,280,239,068,049,297,838,645,555,845,889,420,923,790,092,799,390,382,
835,693,301,176,692,538,558,552,791,459,454,797,598,019,921,301,328,970,140,
760,284,096,077,373,659,596,621,242,127,590,769,635,385,173,903,046,289,734,
953,262,173,891,990,433,686,205,211,913,641,336,997,687,843,582,259,285,667,
876,765,124,552,540,395,983,612,116,597,617,439,461,917,720,270,959,965,909,
951,142,223,364,942,450,352,466,424,924,403,172,645,537,520,714,435,664,190,
731,557,535,743,019,500,069,434,841,951,799,407,374,502,339,300,278,108,288,
090,098,845,415,401,467,061,162,181,111,231,653,045,819,854,928,122,496,272,
999,707,308,311,947,650,673,441,675,749,982,359,358,418,541,564,697,485,460,
950,051,127,914,659,262,955,200,650,298,886,898,628,485,073,517,779,485,394,
893,679,532,619,219,036,978,047,934,672,132,922,716,374,978,941,747,419,412,
480,700,121,992,355,082,837,026,844,312,604,849,138,927,155,302,690,558,958,
502,813,277,497,725,813,489,928,000,337,576,772,230,768,101,974,992,162,107,
456,299,681,407,982,072,981,128,295,429,567,050,116,182,202,783,760,932,976,
354,685,179,490,221,327,131,473,941,468,326,776,984,341,216,886,308,139,908,
803,213,813,113,765,707,511,755,049,336,013,136,724,974,186,245,789,735,803,
039,365,331,229,296,341,828,955,081,233,018,186,889,527,151,996,107,918,117,
130,993,400,712,270,203,985,686,716,993,136,678,650,960,683,600,132,843,285,
080,629,565,830,887,731,436,014,865,125,787,816,414,547,207,984,159,540,536,
332,434,529,191,566,324,544,748,254,019,204,042,634,612,055,733,871,545,377,
335,426,358,453,991,017,024,387,999,627,649,913,073,005,206,792,530,773,886,
177,084,520,735,631,130,708,827,051,791,327,823,962,883,205,680,772,704,598,
400,786,960,339,925,768,928,931,227,806,678,270,226,116,362,003,999,548,069,
514,528,528,317,897,635,515,186,984,046,399,082,333,030,065,866,408,401,432,
478,072,939,421,513,170,583,604,180,183,492,570,098,206,145,044,911,106,485,
555,933,321,267,542,175,124,621,021,865,427,626,508,251,304,554,370,242,678,
648,286,521,814,560,704,109,352,460,624,743,426,705,899,178,215,164,659,642,
333,501,415,896,561,700,701,642,464,174,655,880,063,818,534,425,037,979,635,
511,166,395,846,242,782,177,657,837,822,056,776,782,208,778,293,548,727,951,
892,866,736,827,004,794,144,672,762,217,052,569,352,901,908,574,218,724,491,
921,931,385,868,260,177,742,649,640,959,112,016,565,738,336,477,333,136,395,
949,478,908,001,520,851,720,107,638,923,503,891,828,712,892,236,822,581,151,
302,268,327,024,711,582,129,512,247,705,724,959,513,203,707,958,759,627,097,
077,808,413,771,481,698,733,580,833,394,659,136,878,768,847,423,702,467,839,
237,511,513,085,443,724,866,561,717,602,188,478,463,017,772,904,316,332,034,
062,672,664,976,238,087,070,930,971,443,126,459,569,666,357,238,221,208,103,
680,941,437,433,272,064,975,092,928,939,545,340,541,270,472,901,204,013,791,
948,406,970,132,128,692,507,821,751,239,063,721,796,893,292,320,219,126,401,
824,406,366,743,121,360,055,282,854,301,150,063,157,959,421,838,221,485,537,
771,108,928,697,310,659,859,254,357,338,722,998,556,621,871,115,593,366,734,
591,538,064,661,363,695,189,265,684,613,599,121,721,691,562,505,741,730,447,
258,134,040,912,264,574,665,824,470,229,010,323,999,183,686,949,165,137,491,
063,617,563,189,051,450,445,455,263,737,063,607,626,702,237,960,756,433,141,
236,657,078,228,631,533,527,638,110,824,472,732,372,312,483,251,271,629,127,
207,806,405,977,119,450,091,008,385,841,764,615,986,767,986,891,931,513,105,
329,550,615,541,450,546,244,322,857,486,007,678,742,206,463,736,054,557,133,
948,926,011,332,952,092,497,352,474,288,196,834,513,358,350,389,614,827,776,
831,718,301,775,358,674,904,614,958,597,301,244,492,670,379,830,490,905,691,
038,220,841,423,941,334,205,783,896,907,976,403,906,852,933,199,005,247,965,
666,769,037,641,990,958,097,066,528,203,512,322,265,781,199,131,535,662,253,
927,494,573,171,240,543,770,592,820,198,334,360,962,590,144,043,421,160,910,
607,980,413,579,873,998,245,836,042,452,571,714,662,007,129,325,506,516,409,
628,338,675,128,293,710,601,908,506,976,513,510,342,247,575,276,068,118,338,
329,434,470,770,108,825,825,704,537,385,681,569,743,539,586,216,875,566,946,
012,058,498,950,807,438,637,024,748,770,713,059,052,336,934,066,190,771,753,
611,991,458,589,878,194,969,426,384,176,667,982,796,192,011,660,668,006,587,
195,243,712,721,004,718,554,183,727,276,498,765,452,959,099,272,263,088,760,
344,838,927,111,025,110,613,839,306,234,114,938,628,703,725,880,213,376,414,
853,281,996,843,029,719,326,719,265,714,009,178,829,221,276,686,093,615,895,
905,702,483,565,031,897,827,553,727,513,196,852,492,302,033,453,042,312,345,
428,101,149,837,587,010,525,176,343,918,481,881,789,617,279,359,754,406,812,
817,626,454,586,707,175,251,922,734,355,699,122,165,707,803,178,995,464,691,
219,432,030,634,333,296,645,365,637,430,532,276,977,185,646,832,650,392,021,
868,013,526,398,144,025,760,638,166,942,810,983,215,118,962,225,185,868,193,
432,367,175,857,265,303,754,767,100,884,672,369,870,473,168,342,242,421,028,
321,569,397,062,576,840,111,882,164,824,197,493,164,797,944,162,404,556,785,
278,744,870,687,522,062,855,901,893,949,087,653,089,505,599,162,558,530,391,
808,969,834,304,928,172,581,011,748,863,910,212,062,245,555,242,424,399,894,
268,960,622,098,844,137,585,650,792,314,037,538,370,328,543,196,348,603,097,
678,645,121,548,530,028,479,568,188,507,588,746,700,907,661,343,362,524,505,
548,355,921,036,492,406,493,827,783,814,894,184,350,199,008,255,287,752,433,
823,922,479,437,432,172,285,796,263,549,525,278,992,950,344,683,914,722,284,
414,352,568,390,222,361,178,061,950,955,746,732,346,023,392,316,829,354,118,
813,947,578,770,801,265,552,545,249,519,649,172,734,936,474,315,938,548,283,
740,913,499,226,041,847,598,451,340,847,984,708,247,837,140,255,510,446,183,
485,961,314,146,517,170,698,771,855,095,925,300,983,448,331,810,855,862,206,
299,122,699,854,254,009,039,581,620,957,854,695,484,684,179,627,644,782,111,
481,481,775,042,123,595,043,555,121,553,432,237,659,479,890,079,814,332,805,
167,529,522,239,618,543,795,014,808,856,152,814,636,621,061,598,553,437,438,
500,658,620,401,328,811,639,834,964,411,879,031,251,609,655,938,449,901,307,
917,430,762,444,411,244,619,672,137,727,614,310,212,919,090,508,564,603,284,
218,858,456,073,731,576,844,891,692,122,343,486,735,175,452,039,355,555,983,
725,736,885,001,643,183,522,402,356,626,232,905,566,573,017,280,286,310,171,
026,079,115,795,636,115,447,870,947,149,452,422,297,806,445,901,788,725,533,
961,714,693,411,924,520,204,173,205,261,403,719,270,057,593,923,662,334,856,
859,859,655,694,741,371,671,000,221,251,329,948,745,893,994,885,511,437,828,
002,394,782,843,698,533,917,140,641,024,420,384,634,560,211,976,950,365,203,
746,900,464,866,674,879,871,472,804,112,058,734,646,488,922,272,442,191,984,
333,602,125,993,988,394,534,283,866,174,762,827,288,808,167,833,802,531,415,
937,213,236,227,947,784,856,151,253,979,273,834,027,906,766,800,331,304,558,
869,825,132,893,574,083,554,851,365,135,109,870,964,973,446,939,710,929,767,
398,320,867,136,399,447,356,076,411,024,611,602,903,031,381,419,106,006,194,
179,594,722,930,161,661,395,017,790,483,707,817,668,910,108,142,356,746,238,
041,088,075,872,689,933,810,125,866,122,283,801,224,083,671,468,743,401,141,
962,483,899,038,594,222,336,477,921,124,287,127,140,497,576,583,378,419,038,
037,455,945,159,651,218,807,088,204,836,541,431,219,854,606,008,410,096,105,
233,851,854,687,441,217,620,235,568,480,147,028,097,681,771,711,312,606,972,
233,846,669,010,703,394,457,760,433,539,536,795,315,984,486,093,069,606,695,
319,327,287,345,234,100,429,870,862,278,101,704,300,918,641,423,859,189,090,
634,367,396,324,430,903,491,744,574,317,878,847,090,101,894,435,332,812,897,
991,038,887,065,388,827,886,594,734,695,501,002,414,900,798,750,583,287,313,
458,432,311,158,387,455,354,890,304,499,968,354,208,487,803,210,747,863,973,
226,331,851,632,258,203,078,965,522,175,993,018,199,912,824,382,513,662,356,
241,592,593,212,309,903,367,633,670,105,250,803,594,369,963,536,347,932,744,
414,032,198,851,329,853,692,028,564,229,096,460,739,934,857,579,440,819,050,
253,791,031,531,719,326,261,980,932,504,859,238,327,731,007,071,124,727,365,
681,293,761,746,560,982,002,793,757,462,552,052,951,848,597,839,444,620,305,
442,201,571,626,744,292,911,488,961,354,239,142,362,367,582,015,053,488,600,
146,620,808,180,218,108,251,876,688,019,329,027,154,973,617,118,490,255,851,
229,242,555,660,408,313,644,344,170,141,164,697,885,529,158,913,361,346,259,
871,825,226,346,191,787,374,199,520,393,645,602,427,665,865,058,654,006,067,
972,967,411,312,070,747,914,229,980,739,037,032,079,159,664,973,378,976,008,
774,228,156,366,738,481,507,068,700,560,107,509,208,125,629,111,238,013,438,
023,304,338,438,872,846,733,131,898,830,747,872,098,461,316,380,381,585,106,
798,821,317,290,654,511,993,522,716,474,918,207,480,360,660,070,686,352,583,
463,867,590,238,749,028,131,706,261,435,194,719,530,998,111,199,514,406,586,
466,641,496,773,817,682,210,528,633,726,299,241,345,416,252,379,124,247,358,
691,399,816,195,883,534,122,013,430,057,565,357,032,185,134,029,047,544,656,
329,768,074,791,891,062,124,228,314,888,494,743,707,314,849,483,768,240,917,
621,343,335,346,254,254,651,430,004,898,146,852,772,527,986,809,510,800,142,
884,646,988,219,805,456,186,233,982,680,209,089,283,850,873,358,372,408,363,
805,102,209,041,438,838,266,808,544,599,341,524,426,169,183,028,044,625,273,
512,640,136,942,158,117,669,975,764,072,713,896,710,732,638,258,805,771,444,
308,431,785,510,661,955,359,546,916,629,600,454,853,370,192,122,819,896,905,
091,949,544,546,189,035,078,927,229,857,896,287,812,105,490,195,684,137,251,
958,070,335,308,299,733,140,739,173,921,627,640,339,157,737,531,766,834,088,
218,056,086,562,796,307,759,272,395,653,723,842,771,545,293,915,748,070,207,
652,342,243,743,282,254,206,316,614,890,370,388,040,868,324,344,408,502,632,
386,262,909,552,398,861,876,347,400,407,758,158,727,172,554,729,496,640,461,
413,892,869,792,065,552,785,156,696,925,672,185,365,741,989,298,706,516,453,
301,904,795,825,619,623,217,276,136,813,436,176,468,283,251,469,021,651,025,
729,802,057,079,578,930,265,832,520,609,604,082,371,007,398,594,737,651,294,
944,081,190,483,595,095,903,379,911,042,824,907,293,488,821,340,081,145,245,
826,028,673,076,880,335,766,968,306,865,728,181,530,516,396,885,926,128,159,
005,506,989,387,466,282,713,509,120,920,880,378,603,559,459,556,794,175,419,
259,641,401,047,642,948,462,251,702,112,374,904,368,936,883,851,441,087,751,
526,406,148,073,358,538,277,216,247,980,022,029,727,716,716,203,522,978,578,
429,371,726,988,261,396,776,850,124,946,406,130,190,482,988,455,479,096,042,
139,164,039,435,319,883,597,497,502,253,071,565,291,547,806,444,893,803,951,
482,514,903,560,652,071,516,812,281,828,877,843,270,141,116,962,201,950,320,
643,908,355,029,495,891,450,124,063,031,809,312,292,124,369,189,720,129,099,
061,414,018,755,108,407,817,933,835,101,383,970,489,758,660,080,050,782,768,
153,556,484,796,498,965,635,304,884,562,582,176,106,504,370,469,233,624,105,
020,069,842,325,962,346,539,149,931,163,638,618,485,152,142,974,018,647,014,
773,339,619,518,331,762,268,761,170,805,758,829,314,315,491,770,953,857,111,
788,340,686,106,538,345,078,081,371,650,760,948,670,471,438,980,679,365,531,
433,179,951,819,986,608,602,628,862,546,146,925,725,011,953,843,182,435,850,
605,753,141,730,199,541,301,267,714,534,327,261,931,646,503,915,107,570,831,
668,986,310,949,637,110,022,998,789,160,448,845,532,916,291,286,635,681,016,
500,427,157,717,852,904,605,335,666,193,886,939,958,060,353,075,223,048,177,
705,896,869,135,760,414,780,649,871,056,573,212,537,276,752,752,116,734,549,
558,973,275,615,666,622,870,134,355,281,253,053,089,896,536,791,793,350,175,
377,799,374,886,334,563,019,104,865,679,183,455,843,606,125,223,077,683,403,
901,774,557,728,668,568,795,492,527,213,560,473,630,000,488,398,454,863,124,
075,677,665,625,121,784,668,068,727,669,687,380,357,650,535,422,937,406,545,
400,182,323,093,144,227,802,988,673,173,727,835,243,606,317,693,947,864,323,
679,768,024,113,493,283,505,692,768,810,237,271,686,757,328,076,976,505,947,
557,497,580,582,969,413,986,307,212,493,813,084,149,060,187,077,399,248,995,
084,233,660,117,308,022,818,644,627,697,256,285,299,803,860,653,743,834,383,
414,811,237,862,625,909,744,007,627,057,580,698,735,833,870,647,019,983,928,
595,051,487,083,801,602,536,634,015,928,169,076,705,512,165,868,599,126,276,
910,096,237,682,581,610,325,613,484,965,032,689,694,694,766,607,545,931,758,
952,826,708,126,601,750,189,684,904,604,963,474,124,975,281,577,097,742,811,
334,860,936,294,737,531,980,082,625,435,071,196,261,949,829,235,160,661,326,
522,602,560,254,775,126,723,441,253,322,327,451,284,561,740,110,402,902,353,
840,428,393,254,948,484,400,948,367,161,115,793,130,211,102,727,394,087,052,
228,423,138,840,865,161,804,089,239,951,917,452,105,736,416,720,170,541,731,
029,244,994,997,896,137,954,263,281,970,058,595,618,956,598,117,569,644,600,
471,967,749,323,406,101,114,359,109,690,865,044,856,364,094,897,216,982,777,
003,873,260,801,019,309,925,450,272,936,197,148,698,599,429,732,585,326,585,
845,730,558,273,917,371,914,451,057,255,924,711,403,561,821,804,649,350,386,
381,283,076,327,710,132,988,144,816,196,330,219,881,045,300,987,479,225,658,
051,277,218,233,546,894,032,297,696,369,639,271,005,291,944,958,692,803,069,
247,178,000,632,451,151,215,251,325,797,581,504,430,471,305,191,215,749,579,
506,960,644,865,596,330,084,631,103,158,387,348,168,597,394,870,386,496,787,
384,607,759,904,864,254,882,430,101,730,462,693,060,227,306,840,365,550,000,
549,909,669,498,919,472,610,504,443,423,641,780,107,499,136,261,498,625,503,
349,775,244,332,623,766,259,775,550,508,881,176,605,684,246,209,281,440,470,
251,685,026,240,150,026,419,483,787,970,015,962,048,235,012,830,208,139,201,
047,933,458,375,551,894,936,736,898,070,251,432,481,430,408,515,075,943,870,
557,744,422,995,782,635,087,202,922,193,108,993,436,142,545,487,577,458,940,
229,884,647,575,335,675,272,244,039,603,614,484,348,467,347,376,176,095,164,
434,468,210,599,790,702,074,279,761,548,300,712,408,803,851,182,212,650,803,
536,720,631,056,988,187,569,388,083,194,613,885,722,167,312,529,272,587,225,
063,401,976,531,057,421,156,060,977,348,851,239,805,712,686,530,369,992,948,
126,091,220,823,771,295,455,744,720,396,128,583,531,793,653,477,741,071,728,
508,138,957,353,246,160,169,112,093,747,486,480,340,602,945,839,418,818,062,
024,793,315,290,354,067,354,190,393,587,736,896,618,405,501,157,050,883,721,
643,605,595,238,168,725,970,183,929,753,742,894,603,148,387,958,253,399,492,
114,175,460,556,110,316,821,482,576,593,833,907,147,302,696,295,496,707,877,
966,669,470,835,039,809,821,925,180,788,477,815,939,097,605,115,637,395,557,
425,130,146,575,109,333,159,812,393,470,116,680,263,426,165,130,096,314,504,
295,437,050,503,551,676,467,071,157,750,239,928,722,882,932,851,186,241,832,
686,332,255,849,411,488,838,493,879,588,343,110,039,664,959,507,911,367,988,
599,628,633,258,113,100,846,246,645,460,785,608,647,442,835,317,940,290,794,
795,652,732,341,379,154,935,050,656,107,044,960,977,730,448,189,683,274,278,
423,149,334,524,741,223,081,362,038,664,878,445,013,144,498,920,823,490,695,
504,716,261,846,657,582,192,470,891,941,017,984,232,857,520,204,489,979,078,
580,686,012,537,794,292,826,981,461,087,812,876,716,288,297,026,966,097,357,
836,701,976,525,029,835,462,071,206,109,039,608,723,451,327,154,305,746,414,
085,647,290,765,667,832,134,637,278,502,388,983,983,925,725,271,700,820,894,
047,712,795,888,438,827,329,309,718,913,000,038,574,874,191,281,791,014,809,
552,785,611,471,374,253,776,135,438,003,393,786,779,189,401,400,759,341,741,
370,457,306,334,992,004,983,380,022,344,181,398,320,452,558,876,872,984,370,
067,496,494,937,138,650,670,757,220,050,382,420,982,679,961,685,954,300,002,
484,499,455,387,291,700,000,460,123,765,805,480,415,894,717,183,452,998,600,
451,720,658,058,201,829,703,347,403,039,123,220,910,340,437,701,591,980,270,
640,617,755,833,580,867,546,343,980,041,365,862,780,787,126,633,504,337,134,
340,682,421,961,311,166,206,325,223,790,166,615,121,224,972,772,130,847,654,
738,491,040,352,874,195,788,057,818,885,413,596,344,300,941,730,598,908,515,
313,884,371,115,115,159,092,121,212,469,189,389,404,099,162,469,490,160,135,
967,859,819,603,805,124,924,826,575,080,318,904,458,330,515,273,692,412,853,
154,172,470,868,772,107,574,076,394,133,283,349,201,796,426,489,337,688,303,
319,624,129,673,073,446,877,750,765,590,704,244,737,689,071,119,942,354,941,
022,915,468,253,095,206,753,147,324,843,101,780,722,778,530,049,356,393,590,
148,123,158,909,376,167,601,497,119,419,186,089,182,233,580,234,801,988,907,
212,212,303,612,450,705,903,461,365,691,703,647,283,479,101,057,301,005,706,
894,197,828,446,044,527,784,859,073,665,722,595,424,621,496,361,158,941,845,
033,386,742,433,879,676,392,920,983,880,151,357,113,970,255,021,231,364,519,
192,032,392,106,176,890,210,832,770,570,420,129,399,368,951,353,684,323,603,
771,949,340,519,569,512,153,939,347,505,243,408,606,058,161,134,581,915,244,
977,380,931,970,713,858,647,870,989,775,454,322,367,632,288,929,693,819,777,
707,165,358,955,515,666,491,330,692,773,035,080,299,229,043,789,217,582,737,
122,444,749,411,332,861,115,872,849,405,946,524,381,137,568,404,332,040,749,
843,973,633,925,660,155,520,636,099,230,279,166,339,620,102,147,815,344,870,
572,817,708,000,026,343,920,924,332,509,232,172,110,247,158,237,694,458,832,
808,499,108,495,998,443,754,519,629,394,042,466,317,092,470,075,844,628,091,
223,830,926,096,264,300,524,915,577,548,020,490,079,620,667,166,855,672,998,
581,818,831,447,889,813,861,674,660,218,128,207,538,626,676,759,026,823,157,
437,386,689,744,889,846,146,648,355,407,532,906,004,093,655,145,608,152,508,
861,174,756,803,595,849,800,421,734,321,053,703,022,782,919,339,450,122,839,
224,341,935,535,740,602,133,417,486,447,619,879,153,199,657,339,401,772,011,
464,699,176,319,763,618,815,106,439,901,940,627,756,679,764,345,414,383,850,
400,093,514,512,792,656,720,910,220,532,010,000,197,815,096,369,868,519,120,
511,697,724,808,458,236,193,588,739,082,861,093,443,905,128,796,095,971,265,
887,378,352,208,073,055,895,722,948,331,506,116,464,484,923,855,500,514,781,
086,168,288,715,966,066,680,019,484,402,775,434,482,898,076,803,763,504,370,
414,904,290,955,788,689,480,468,090,422,553,783,990,090,929,623,928,192,380,
296,413,678,476,507,419,839,872,248,698,765,751,770,529,210,608,205,680,076,
668,722,531,817,678,194,721,694,938,682,547,648,143,632,670,656,111,640,583,
636,388,543,800,457,887,575,733,706,273,794,232,163,846,598,360,638,489,577,
939,316,282,862,306,119,569,832,476,850,425,486,765,346,147,979,630,914,928,
111,694,078,755,564,429,925,808,626,295,628,214,869,592,123,003,690,441,743,
008,319,265,977,331,812,854,785,824,562,874,530,214,115,813,089,289,342,337,
239,868,950,048,132,706,112,881,843,014,714,243,804,163,001,268,409,406,061,
785,358,510,228,282,091,229,490,938,453,939,154,906,041,922,495,596,457,526,
974,333,707,335,482,947,364,731,449,967,194,443,897,535,005,282,960,196,206,
953,375,532,300,079,890,644,448,070,001,448,988,396,591,091,138,038,635,262,
480,849,379,597,575,610,110,142,672,717,669,079,871,060,556,084,881,579,586,
645,700,862,220,368,738,074,180,959,518,304,480,711,869,437,173,578,629,125,
512,816,393,004,642,448,497,486,206,368,263,635,067,694,022,069,346,000,106,
243,172,465,567,683,813,617,743,912,638,732,976,894,666,097,013,317,082,426,
669,278,071,895,493,528,383,063,025,850,687,160,783,036,279,769,484,100,497,
675,058,524,470,116,185,704,032,078,583,528,540,071,654,096,682,844,941,271,
991,956,606,420,836,872,871,662,897,234,649,605,928,610,454,905,104,461,357,
278,958,775,784,500,378,053,127,783,370,260,438,981,303,396,551,416,069,671,
624,358,357,282,837,717,230,222,642,778,914,350,072,155,262,546,746,725,472,
952,079,550,485,186,005,888,383,726,350,241,045,215,573,560,368,805,039,330,
662,207,792,452,101,980,384,455,922,535,713,636,583,300,922,602,539,461,056,
475,699,325,294,745,940,405,525,675,163,060,378,192,026,849,181,741,503,094,
627,060,213,897,930,282,397,412,989,687,010,986,969,364,867,480,253,786,599,
777,562,073,662,038,324,152,579,894,443,705,387,712,726,756,452,129,406,867,
190,641,265,341,956,087,035,370,678,597,241,059,206,144,692,789,521,256,730,
817,694,478,864,648,927,723,651,798,807,704,684,636,545,941,797,616,206,497,
255,836,934,309,199,886,604,677,544,194,293,948,861,246,306,558,132,788,978,
584,852,790,051,898,688,132,015,524,572,717,227,465,204,864,252,187,364,472,
026,212,125,174,796,785,636,717,759,426,269,016,036,958,896,979,370,417,813,
249,026,967,311,022,334,764,244,902,545,329,501,059,445,665,252,390,305,934,
882,800,005,281,802,068,976,851,681,801,414,394,269,936,505,579,546,252,672,
589,340,276,990,557,700,940,198,070,304,703,586,042,191,583,429,186,138,894,
290,023,946,096,560,574,944,873,939,125,971,720,066,253,234,739,497,581,416,
627,236,484,974,394,416,060,423,621,466,802,220,175,845,557,630,653,621,381,
532,385,172,791,923,436,152,532,466,618,778,108,382,624,421,606,522,812,758,
876,204,957,629,278,636,063,731,550,427,884,415,562,758,920,994,658,602,680,
655,676,828,989,923,872,204,943,557,908,632,387,446,984,931,654,339,470,477,
282,319,726,195,807,317,430,914,651,708,496,144,448,544,630,375,645,209,117,
167,229,823,855,519,986,438,812,698,746,915,864,705,872,533,133,550,226,206,
879,444,119,392,268,477,732,409,158,281,413,807,952,361,219,305,789,113,510,
145,759,229,435,884,500,545,926,916,598,350,830,954,346,947,795,350,237,715,
187,553,490,216,674,806,747,643,899,106,071,844,042,051,228,882,367,881,081,
126,237,586,397,932,167,050,470,900,851,423,478,044,412,101,504,025,072,656,
153,344,205,189,351,777,189,294,595,968,190,941,074,535,666,362,311,108,291,
864,912,661,954,883,931,637,863,258,651,207,368,901,300,069,179,208,525,908,
883,673,441,234,577,341,571,846,959,742,895,900,525,225,775,272,914,103,532,
762,679,130,539,843,423,901,489,939,651,366,233,954,530,657,431,520,755,407,
971,547,703,040,017,287,433,416,001,871,667,394,407,441,756,158,634,416,702,
441,784,358,486,076,556,420,752,892,756,718,146,298,659,601,961,456,224,288,
730,768,045,656,022,191,149,429,626,954,171,287,502,140,417,754,837,422,672,
051,378,937,226,281,217,227,925,183,799,746,697,213,413,850,585,000,700,977,
086,247,596,851,105,509,180,926,391,237,346,211,773,740,843,101,701,110,632,
950,730,839,454,497,105,386,683,232,502,633,456,264,286,712,340,620,751,813,
358,413,807,910,045,692,950,025,817,878,782,479,741,089,638,255,642,895,675,
264,283,286,029,287,706,706,114,855,251,835,318,942,427,099,538,763,289,162,
700,103,209,706,862,904,145,291,470,350,035,891,729,079,659,684,400,750,098,
420,350,077,603,137,660,888,055,434,643,688,157,531,261,844,111,299,251,045,
385,070,929,574,617,131,107,440,630,068,596,763,241,580,554,971,747,573,150,
918,726,484,535,755,557,526,754,404,026,334,906,671,779,596,404,924,931,368,
292,943,761,148,112,125,126,863,552,501,758,399,402,120,165,290,284,173,116,
798,696,424,171,604,849,106,220,220,798,685,505,525,031,698,325,079,289,568,
832,394,035,401,859,945,520,564,823,982,397,000,559,454,897,252,190,320,223,
145,329,314,133,695,799,053,987,976,166,034,681,176,271,098,730,691,565,799,
990,171,738,630,546,195,198,306,086,714,616,000,764,686,933,098,371,135,324,
516,880,138,925,711,435,928,323,846,844,742,976,613,712,592,168,467,000,020,
199,305,469,814,900,824,216,100,469,401,214,651,923,160,384,538,912,339,090,
194,226,391,479,490,715,856,047,576,743,211,467,371,028,598,707,145,417,726,
112,981,312,152,399,288,326,287,364,031,328,381,978,586,344,152,152,908,522,
286,757,729,591,070,566,559,636,479,546,999,751,762,213,409,759,191,280,830,
006,536,913,330,179,686,947,999,588,442,083,413,027,379,806,320,592,005,745,
789,124,610,403,731,817,634,298,645,020,612,503,670,322,034,201,158,613,088,
483,549,339,472,573,450,928,537,615,125,112,343,388,196,456,345,969,955,888,
057,028,127,995,466,871,773,715,809,682,953,760,614,464,403,172,411,038,060,
539,232,855,303,283,907,314,315,026,855,622,973,568,817,167,340,182,431,593,
292,670,664,845,748,287,578,887,060,426,127,204,205,453,691,778,551,333,420,
404,981,900,589,987,920,337,535,357,489,812,972,201,354,960,512,264,754,691,
212,556,253,558,257,736,051,463,356,894,839,759,324,296,411,583,001,402,314,
852,776,394,949,490,967,667,424,379,200,532,852,540,539,564,790,181,927,716,
920,327,746,139,745,036,330,819,535,178,179,166,705,972,126,900,772,095,471,
388,064,676,256,393,465,167,048,101,948,987,254,522,098,885,597,250,410,945,
087,964,188,583,885,186,877,770,286,348,851,261,942,038,694,520,727,448,968,
433,944,104,394,595,046,341,700,284,362,509,773,064,390,424,846,607,597,904,
101,808,270,157,162,085,244,366,182,520,487,677,185,295,752,039,754,582,028,
359,978,521,274,045,042,739,045,288,074,426,385,582,610,098,183,746,044,546,
615,922,837,250,131,819,685,009,117,532,528,080,019,043,322,920,173,094,234,
637,331,287,037,046,148,262,708,505,185,629,209,570,109,706,340,192,323,740,
834,822,922,250,643,888,605,569,768,291,508,155,367,058,299,868,753,907,678,
937,253,275,778,670,649,166,989,184,510,344,719,851,654,167,444,284,354,533,
941,674,044,249,775,795,532,655,063,954,772,976,387,306,022,229,397,305,434,
923,948,020,594,175,186,990,943,234,534,183,563,011,525,751,064,993,749,092,
352,552,526,259,422,759,853,449,095,992,941,077,739,437,036,644,682,538,377,
285,630,534,480,924,819,265,445,200,534,179,986,665,100,477,541,772,103,258,
305,103,835,681,687,009,235,980,778,007,411,591,852,245,787,003,921,542,326,
917,193,324,055,156,620,851,768,087,118,214,499,569,007,224,318,278,355,240,
895,551,020,263,244,495,437,854,028,142,459,700,988,228,931,293,871,398,816,
162,061,037,396,880,317,760,075,381,882,382,036,535,068,441,878,298,168,186,
720,418,921,891,566,250,457,563,116,222,722,273,225,041,456,543,940,055,960,
126,158,083,950,787,235,233,503,719,986,260,383,039,720,954,263,341,984,254,
350,498,387,211,867,842,301,788,313,611,747,282,048,495,841,409,337,149,305,
788,180,305,205,618,033,438,415,896,963,515,072,519,812,608,384,142,392,580,
307,521,662,069,979,857,650,393,346,227,103,867,362,054,472,836,994,116,477,
333,602,474,230,659,832,337,437,599,967,271,890,577,148,797,631,912,579,465,
750,657,254,155,861,290,744,020,950,737,221,685,231,516,352,565,532,700,061,
856,641,764,460,976,305,434,776,683,412,855,363,887,034,363,127,287,767,024,
605,876,611,495,484,902,643,250,348,638,189,529,716,064,028,390,953,459,447,
098,063,432,216,919,909,369,555,888,754,182,141,518,850,714,541,540,574,925,
927,080,527,617,274,022,484,324,072,000,147,762,324,060,955,112,525,073,893,
741,798,143,253,757,744,825,584,824,523,586,118,829,325,990,979,401,752,558,
985,744,585,842,330,686,712,537,228,961,414,646,608,836,236,206,378,317,503,
973,751,705,133,517,391,041,796,132,010,151,965,424,178,736,668,900,873,321,
892,786,090,431,948,354,977,214,123,709,633,113,092,694,852,946,132,937,422,
954,686,836,028,182,304,276,587,937,054,049,953,167,115,934,030,247,799,000,
122,803,651,787,950,393,872,582,539,282,015,009,360,445,215,219,551,449,935,
103,352,426,856,392,413,823,465,448,372,245,071,811,316,616,522,866,989,775,
695,669,405,544,529,692,231,163,572,594,535,162,818,241,774,180,247,217,505,
390,707,893,415,676,892,070,216,327,431,620,812,188,192,309,895,967,488,291,
337,432,008,440,255,234,739,356,292,319,214,094,580,336,136,976,324,143,483,
955,145,509,081,921,542,671,612,195,851,744,890,749,055,533,075,260,328,961,
901,610,346,269,413,243,518,113,581,925,429,695,335,636,355,181,353,775,201,
904,622,050,558,118,617,993,084,914,941,084,987,508,772,847,742,205,583,263,
500,579,252,114,277,150,823,596,329,651,184,039,153,440,301,037,775,399,565,
125,056,318,577,061,568,662,577,298,298,619,225,901,578,819,216,717,979,654,
864,782,922,620,905,144,303,604,445,011,943,535,710,789,712,473,062,082,810,
010,532,844,506,957,934,707,722,644,391,044,967,063,783,846,484,265,437,032,
104,543,273,328,725,240,956,335,463,844,986,954,122,144,515,668,613,132,162,
212,105,433,672,423,583,204,358,404,324,429,194,471,197,032,395,250,220,539,
684,124,815,636,808,928,941,313,073,661,462,330,987,888,785,850,007,134,253,
703,340,499,050,730,535,569,797,178,065,696,113,078,969,071,713,550,427,822,
182,018,549,049,628,692,785,626,193,232,632,943,508,741,267,540,789,315,660,
587,386,988,744,051,529,091,854,171,638,181,876,865,280,363,775,055,392,828,
565,233,385,644,992,877,777,177,266,482,617,367,257,194,847,940,717,432,519,
296,503,098,002,643,515,856,935,950,395,167,847,332,649,329,602,122,799,471,
288,454,827,650,559,151,972,447,492,336,213,024,328,201,014,035,145,369,532,
937,849,646,198,211,374,984,993,606,246,405,850,901,267,064,150,859,335,516,
135,961,420,631,776,673,188,169,672,833,824,388,903,664,641,475,485,352,553,
073,539,325,056,593,427,001,811,689,467,945,805,031,893,796,812,078,949,023,
803,615,528,551,037,198,936,811,138,599,631,982,097,493,416,220,094,562,058,
517,620,364,593,865,934,597,977,849,607,575,558,313,266,054,809,128,016,142,
700,627,955,502,430,078,832,590,507,229,318,162,134,469,312,553,235,351,792,
389,560,147,113,379,859,814,367,827,181,819,036,816,501,825,666,409,404,599,
808,124,647,963,372,128,380,908,491,989,174,020,780,630,645,156,619,318,733,
874,574,779,622,276,984,438,582,854,466,691,889,614,028,929,863,774,846,694,
065,247,791,196,324,421,836,423,266,991,300,593,896,651,228,139,641,229,704,
781,494,097,427,076,602,413,496,151,139,976,153,990,490,795,991,793,195,347,
551,351,029,903,479,400,652,290,068,889,614,732,615,026,841,311,116,764,274,
570,072,590,227,784,123,984,331,493,977,082,480,945,349,946,937,315,269,845,
720,951,652,858,064,305,185,085,575,418,198,070,217,952,496,802,180,548,182,
908,152,258,578,153,276,393,985,238,882,529,851,944,716,146,665,537,847,286,
326,142,481,927,986,269,563,046,321,021,223,723,863,266,224,679,386,400,008,
679,595,702,998,025,939,305,276,806,095,633,199,113,829,995,169,436,386,803,
497,808,852,744,279,249,021,748,065,959,516,782,325,115,279,296,847,892,938,
325,438,095,074,559,037,532,529,332,816,438,923,627,440,552,396,838,126,620,
353,725,344,451,253,346,010,142,129,892,627,200,040,102,142,345,850,541,560,
405,676,141,032,578,123,323,833,471,320,541,369,226,559,586,969,025,078,948,
553,191,386,163,304,204,697,619,670,708,376,396,646,146,244,639,959,959,157,
686,794,329,681,637,815,984,937,218,830,042,197,345,960,320,528,311,631,490,
976,203,949,062,220,721,274,253,036,522,268,299,946,046,958,728,290,796,318,
080,341,192,573,415,310,576,465,685,522,573,714,029,051,998,964,018,634,066,
805,579,167,488,854,748,883,096,054,147,865,323,701,932,965,764,041,259,360,
234,700,050,911,387,425,954,166,664,579,583,524,225,614,228,342,849,136,740,
993,422,764,596,863,181,807,735,339,858,028,344,454,904,076,081,466,957,077,
272,754,734,959,945,266,253,671,349,610,008,984,784,994,460,671,779,129,074,
742,943,132,577,776,282,907,971,378,335,370,782,354,971,560,050,004,578,708,
771,713,921,316,987,138,072,408,707,600,380,610,529,413,891,954,177,625,842,
429,485,504,511,727,600,412,241,474,374,834,839,294,365,225,736,245,540,213,
353,022,295,302,553,133,954,233,460,936,665,229,954,127,432,702,606,881,835,
813,404,773,268,523,265,529,595,615,336,848,768,523,028,404,703,097,694,280,
892,951,860,661,905,212,934,972,368,403,375,536,876,449,644,031,435,036,478,
237,375,366,429,690,935,691,152,292,619,935,247,086,984,886,752,871,378,885,
513,078,131,307,355,647,820,340,869,719,116,225,786,000,691,359,412,783,977,
942,299,890,560,818,141,846,197,968,087,010,944,666,982,618,901,477,823,330,
440,192,571,229,095,264,024,737,477,478,712,835,847,632,035,495,951,074,500,
087,543,022,246,890,043,146,260,498,928,748,587,637,151,239,805,465,957,890,
322,040,079,674,754,066,715,662,687,433,409,736,726,834,470,246,044,197,721,
514,300,068,427,384,500,774,222,310,641,352,502,610,833,017,455,366,773,218,
741,759,261,449,921,409,810,154,295,848,115,309,637,009,719,411,276,637,823,
720,866,486,618,810,445,279,198,385,637,936,445,911,707,294,031,466,475,307,
336,033,255,303,041,977,042,989,512,180,514,954,236,665,125,019,188,173,243,
105,045,660,445,016,655,910,797,902,952,522,343,613,592,452,642,634,356,327,
132,208,083,058,306,800,810,175,273,517,985,483,991,121,803,389,083,404,146,
234,719,502,650,820,242,892,391,361,146,360,695,171,668,935,892,665,629,996,
457,196,392,660,346,406,777,842,641,659,141,030,460,047,070,337,908,448,301,
875,657,888,086,949,503,726,725,163,325,647,933,552,904,569,209,960,002,679,
645,792,941,721,472,630,924,116,922,636,354,248,237,054,468,909,869,778,096,
014,550,056,835,111,776,472,795,119,681,101,150,353,166,403,648,868,259,310,
931,537,711,008,063,410,840,356,710,562,458,547,376,228,211,483,227,937,440,
930,088,762,385,690,188,559,767,374,707,979,940,568,111,264,956,692,592,233,
363,508,053,060,487,507,658,226,989,422,474,820,156,403,706,313,783,194,089,
120,612,155,364,099,908,625,299,618,852,292,026,374,559,494,852,662,155,361,
757,450,457,685,101,944,058,065,432,428,275,736,050,914,874,989,627,351,090,
060,219,340,131,841,655,145,752,724,192,898,461,224,067,841,237,134,240,468,
477,099,196,093,377,592,530,201,505,726,504,421,927,286,657,683,090,738,623,
010,589,657,438,299,518,724,752,935,349,147,766,627,971,429,971,736,777,115,
741,978,120,755,422,719,026,708,407,207,508,201,517,639,862,051,980,997,869,
289,813,980,727,666,158,548,181,923,024,356,015,606,997,828,606,059,152,210,
868,980,386,632,822,971,168,275,495,511,347,896,662,632,134,590,474,540,432,
206,553,001,107,743,740,513,466,787,372,143,755,869,861,934,112,831,405,457,
490,368,451,536,831,686,551,946,245,595,204,001,123,131,558,328,896,772,894,
678,837,934,391,200,226,693,200,860,310,248,932,117,814,403,748,070,473,333,
865,899,763,295,379,127,343,405,318,471,431,083,231,700,212,856,311,076,344,
976,917,807,303,700,197,463,571,825,619,905,753,844,942,534,179,136,505,991,
639,938,977,423,875,987,100,856,826,856,557,558,833,903,469,767,317,226,545,
034,723,520,810,365,546,997,096,261,232,716,310,627,414,846,667,613,092,705,
170,195,164,358,803,789,632,089,532,121,565,758,062,090,823,843,229,549,019,
148,649,171,589,458,338,667,332,933,601,784,886,605,444,362,894,787,231,323,
607,105,610,884,046,463,458,985,876,862,777,683,518,761,075,541,023,926,331,
870,968,815,471,079,613,070,287,734,133,859,010,748,161,895,550,085,383,653,
994,087,483,653,266,271,625,879,422,729,942,735,694,255,911,954,176,040,150,
593,621,829,493,042,565,358,171,872,181,955,194,980,085,534,316,268,203,454,
131,721,395,970,492,232,334,285,147,635,463,555,500,318,882,883,828,201,255,
603,515,489,458,106,225,575,025,496,993,824,752,945,440,560,715,713,162,316,
205,015,636,998,046,825,997,969,305,653,761,674,395,115,281,517,939,819,779,
964,507,712,720,949,625,991,873,982,346,784,105,811,224,979,448,024,590,574,
949,266,739,223,910,409,144,551,576,160,131,443,532,396,246,421,296,078,414,
960,738,123,366,853,033,520,323,139,489,068,330,087,665,369,913,573,662,362,
859,111,776,275,938,960,732,128,922,364,726,550,814,802,050,171,080,114,027,
384,354,466,265,668,371,393,325,949,412,048,289,868,097,682,746,899,441,037,
449,682,299,936,593,106,118,475,701,482,427,515,338,914,574,712,848,910,781,
387,566,425,389,259,236,989,237,816,798,488,784,047,804,617,520,217,186,448,
835,625,594,224,985,599,106,569,124,340,899,662,921,558,202,118,023,353,153,
612,885,439,985,869,847,625,878,406,008,724,370,922,888,408,150,877,655,312,
865,115,342,442,322,994,757,336,184,706,685,360,711,262,932,407,931,361,330,
787,688,791,283,175,778,028,833,607,527,084,590,856,991,627,428,203,556,271,
297,716,568,215,089,577,472,420,786,160,384,740,322,841,934,196,629,320,451,
038,057,534,856,622,234,375,317,963,651,410,127,987,614,684,330,582,772,339,
911,265,012,960,068,638,500,700,559,393,494,257,498,033,715,276,506,893,331,
933,055,749,945,577,098,752,951,666,252,486,061,630,269,168,178,782,531,547,
407,067,787,509,259,622,523,385,695,429,646,320,316,220,373,826,403,598,205,
872,934,696,824,097,838,696,018,532,650,834,564,925,658,726,706,077,634,835,
785,370,234,281,825,175,969,373,830,283,361,593,257,988,742,968,072,691,090,
252,056,311,273,673,518,893,597,217,263,853,146,260,459,789,531,356,086,027,
943,785,222,934,474,626,264,272,301,280,071,638,098,287,422,163,565,131,050,
734,748,359,016,888,615,037,086,197,446,929,169,209,247,819,635,894,718,942,
891,724,423,759,144,396,587,439,216,006,170,486,936,758,576,882,748,746,195,
285,920,755,358,146,421,381,526,344,271,147,436,703,956,949,782,126,480,204,
120,416,107,974,272,577,413,262,933,855,878,059,178,255,778,286,149,750,513,
823,168,721,305,541,244,523,630,901,076,052,040,514,037,962,994,203,469,046,
075,699,735,466,015,785,874,992,021,260,695,766,659,945,575,711,875,006,087,
875,885,797,128,559,715,589,175,443,674,687,449,989,614,979,872,201,551,705,
938,178,585,748,892,940,475,215,314,533,791,425,939,471,831,034,345,208,319,
422,454,607,471,811,665,459,647,488,413,356,524,815,110,712,427,154,523,529,
739,263,950,010,638,272,412,001,222,622,331,846,216,693,173,309,469,881,344,
647,883,541,932,457,640,160,464,482,612,403,032,168,776,604,594,290,903,721,
200,294,267,641,839,462,631,808,493,905,602,384,300,762,856,397,610,216,309,
226,282,224,926,566,991,786,974,342,213,673,325,697,855,092,347,696,788,744,
415,246,756,825,829,988,510,265,520,703,277,944,053,860,328,133,299,689,904,
041,172,380,716,745,496,252,913,691,322,911,575,824,412,920,936,310,296,527,
282,639,204,649,518,609,208,266,445,871,584,418,564,454,199,338,709,617,771,
220,831,776,776,281,431,356,356,790,411,883,811,169,888,750,208,412,709,091,
499,260,974,084,403,026,235,262,527,597,430,590,311,688,190,832,886,936,487,
499,599,191,688,117,783,040,938,323,459,212,557,096,596,469,422,928,643,540,
013,840,960,522,294,316,871,832,267,361,127,907,945,371,369,045,909,704,612,
334,948,940,677,700,889,015,774,085,190,053,747,233,601,052,591,690,007,310,
901,443,841,357,195,691,725,682,407,363,016,377,875,001,269,018,587,103,730,
183,995,836,367,140,783,066,216,188,757,341,269,126,645,218,081,996,367,359,
607,489,878,930,431,114,992,398,005,587,463,417,309,808,886,149,858,274,924,
795,683,060,378,042,834,354,524,739,415,168,635,419,749,053,573,407,528,540,
794,549,793,274,271,583,736,409,331,145,159,578,468,340,801,590,711,950,523,
090,984,845,476,243,332,009,981,835,112,651,626,037,906,288,845,056,450,283,
902,568,399,178,930,278,424,567,695,321,287,364,083,281,044,110,801,379,408,
607,338,272,511,920,495,207,841,624,181,333,394,453,366,785,578,080,749,901,
566,091,746,969,009,896,768,324,321,152,404,775,952,356,533,848,354,819,694,
734,411,756,151,244,212,482,423,075,158,227,454,666,034,324,424,918,773,105,
066,884,752,334,668,185,704,206,665,692,124,670,647,027,129,181,652,540,819,
947,151,241,562,881,142,580,550,850,677,510,774,619,531,729,827,367,038,891,
711,760,667,598,281,011,591,693,665,679,169,704,520,558,110,264,628,171,814,
925,814,867,385,173,870,735,982,183,521,043,581,983,374,643,443,178,624,067,
677,138,578,952,133,523,642,993,076,492,485,301,476,989,735,952,167,335,511,
736,223,722,646,153,570,351,118,458,690,038,676,429,385,867,449,630,714,299,
009,187,426,478,581,680,965,512,756,947,889,841,634,945,772,193,991,505,611,
814,827,181,013,495,075,788,075,344,791,808,848,544,704,669,497,152,448,772,
402,614,197,339,981,098,159,110,111,173,569,388,053,564,847,520,671,241,351,
905,568,398,288,832,101,206,015,981,846,592,637,103,229,658,291,573,255,702,
848,542,774,571,952,169,211,858,657,824,043,561,564,143,873,435,316,501,267,
484,007,603,072,248,988,420,322,276,889,953,098,696,701,087,949,037,235,834,
587,618,873,168,457,151,233,817,268,343,625,686,677,415,678,999,772,677,694,
638,443,991,827,796,291,680,322,351,355,762,006,648,811,497,943,017,652,777,
055,528,708,846,137,446,375,018,011,045,817,256,551,645,291,013,803,084,090,
253,230,518,693,158,221,445,182,247,887,993,942,151,881,601,030,052,827,281,
323,147,750,542,952,252,164,741,051,828,065,224,748,502,624,021,272,106,713,
585,518,957,490,492,231,062,637,388,076,513,868,325,428,313,710,677,236,444,
351,570,290,504,925,316,964,682,185,683,139,723,915,895,684,280,387,721,727,
572,412,025,299,171,778,478,518,727,277,588,960,889,171,000,444,648,450,288,
317,643,674,143,231,847,479,203,646,653,553,896,338,072,133,756,788,569,422,
119,762,350,506,503,112,459,557,370,630,726,588,856,786,745,683,923,250,540,
061,816,159,825,572,676,199,593,572,723,571,742,048,922,499,321,585,146,543,
058,798,307,637,816,357,260,740,582,925,930,029,945,404,768,892,777,224,179,
899,350,088,971,808,243,348,529,252,933,726,012,915,130,645,171,530,297,055,
488,855,658,738,623,421,362,089,841,364,632,741,376,403,111,937,870,890,711,
423,548,736,984,610,197,750,661,089,190,791,950,021,204,138,535,747,750,271,
316,580,171,501,347,870,627,320,439,349,332,173,585,068,900,264,093,002,034,
674,178,246,250,101,993,044,707,821,017,227,371,919,103,573,187,276,011,430,
727,429,867,989,363,273,095,901,476,500,006,860,470,849,173,484,175,344,492,
865,813,937,544,106,781,314,212,017,150,867,743,799,699,505,267,675,077,965,
850,982,568,753,541,480,771,787,655,099,980,005,990,700,236,689,797,858,847,
963,116,809,953,296,336,830,063,133,269,576,958,488,784,873,920,730,912,589,
905,087,260,853,113,659,738,001,096,209,242,391,262,392,148,132,978,528,739,
931,762,245,213,924,391,092,313,301,969,527,989,728,578,676,736,768,752,858,
125,029,028,302,874,468,749,679,284,784,199,043,323,457,978,029,249,569,724,
538,887,476,737,451,860,875,435,405,906,167,638,232,353,258,652,474,463,548,
660,525,256,774,916,441,088,167,121,617,678,929,629,271,095,787,843,230,564,
790,195,479,717,646,463,524,062,948,512,090,965,906,316,890,481,732,308,495,
965,519,827,601,864,606,263,344,154,059,330,435,776,781,879,589,888,404,336,
582,526,068,452,062,431,560,731,011,487,852,517,216,239,827,432,514,269,882,
475,672,281,999,087,195,350,322,785,376,581,023,313,646,278,968,439,678,685,
669,546,615,557,044,406,671,549,449,503,515,189,200,496,491,990,510,267,799,
663,884,653,665,682,194,355,372,899,271,347,943,874,932,633,407,018,971,735,
129,517,963,659,440,340,821,065,606,051,453,964,813,404,622,608,311,740,631,
021,941,289,365,372,482,508,212,492,453,030,136,649,774,239,926,744,793,468,
326,814,128,969,132,055,019,614,071,005,650,473,350,098,486,719,989,994,489,
888,957,534,505,347,623,042,310,354,291,244,884,368,012,429,926,761,383,190,
843,673,732,310,136,684,140,327,998,760,585,477,754,482,437,821,946,289,533,
177,796,582,224,376,460,490,782,345,522,171,157,838,714,907,337,513,103,353,
118,176,860,232,475,489,574,834,831,868,526,656,322,161,142,202,020,351,779,
876,836,965,465,056,987,160,630,627,044,624,238,937,408,767,174,569,827,996,
384,350,292,729,397,607,635,257,634,970,878,901,423,892,307,838,540,024,635,
955,943,589,297,626,349,383,366,737,769,699,966,414,558,929,331,139,506,201,
712,446,588,108,199,051,684,972,434,992,990,438,075,274,877,679,777,938,012,
526,216,183,090,971,237,424,957,546,154,441,533,115,175,474,054,732,236,953,
022,021,381,757,692,439,955,695,678,055,591,872,912,376,603,385,766,124,606,
854,966,950,651,086,961,696,444,451,378,525,457,253,802,421,465,032,629,908,
865,211,072,336,888,913,274,200,381,200,342,669,921,644,255,012,562,386,073,
837,736,462,931,548,485,397,690,467,016,987,378,310,216,996,091,894,735,699,
629,094,472,760,616,450,987,245,753,472,404,640,677,996,283,468,824,021,938,
375,090,743,945,995,884,725,239,856,905,840,671,606,870,214,129,368,549,328,
274,402,562,020,121,819,286,273,772,768,832,582,741,497,784,225,236,429,065,
521,052,012,570,058,350,892,676,344,723,439,850,374,129,466,148,515,398,859,
286,889,991,078,338,239,273,114,356,679,955,461,521,726,931,518,579,038,371,
110,912,996,361,275,036,761,038,732,608,295,068,458,913,493,616,370,600,288,
180,840,281,532,906,647,084,127,152,963,831,228,435,196,486,295,860,214,855,
034,314,482,557,031,090,270,394,101,788,001,855,732,332,765,993,243,428,957,
063,240,868,374,178,508,244,600,343,157,477,710,733,683,903,664,135,355,109,
859,903,100,003,312,510,856,189,061,765,269,845,899,262,329,597,377,834,474,
362,293,336,985,556,524,655,235,939,940,344,172,334,239,359,070,441,032,628,
367,683,121,907,797,088,636,290,714,398,392,566,349,398,381,086,972,117,506,
159,306,180,198,986,314,208,948,902,920,945,281,503,881,732,505,944,245,916,
256,064,688,112,748,416,615,617,061,183,980,692,690,398,627,480,132,937,652,
455,256,049,712,026,390,470,166,507,855,820,725,627,136,595,737,927,274,459,
612,757,406,781,053,940,035,793,435,503,319,582,405,360,740,740,339,655,615,
541,569,823,614,542,827,665,790,653,895,106,381,693,499,695,121,743,175,151,
201,154,956,147,189,454,223,531,302,669,675,568,991,805,643,180,257,229,613,
440,165,785,653,134,307,527,301,536,153,246,866,049,051,571,410,936,899,509,
250,182,517,150,504,717,482,328,873,950,117,573,632,774,323,548,669,380,482,
352,221,720,134,139,140,726,148,918,549,412,167,399,479,675,779,571,818,730,
617,977,650,572,755,821,077,559,616,965,231,345,861,589,926,709,909,259,900,
944,247,115,539,079,520,022,766,884,959,699,037,037,678,273,057,683,364,596,
978,977,053,437,706,399,046,054,097,850,534,253,309,664,572,142,863,045,780,
318,479,923,479,810,438,114,100,617,913,329,433,519,122,425,506,117,807,085,
012,365,493,468,031,694,307,853,596,236,055,129,366,653,645,618,661,697,690,
180,290,850,306,346,822,992,792,564,678,663,291,486,730,022,733,760,980,757,
884,187,089,754,907,805,580,604,353,144,743,888,052,623,260,519,504,554,407,
081,375,864,729,451,826,264,091,996,522,565,775,103,313,923,279,302,874,555,
930,906,011,713,914,132,339,416,464,578,451,593,244,324,402,109,649,357,318,
910,029,545,455,566,164,044,934,493,725,398,837,369,772,399,318,885,485,703,
260,015,906,026,118,004,864,522,115,589,536,950,950,500,668,894,292,061,713,
477,879,659,819,548,757,454,494,831,976,740,286,047,777,599,849,808,762,505,
898,824,823,577,605,670,464,420,543,920,813,557,910,458,677,231,313,874,347,
463,485,269,200,082,431,742,818,314,513,910,946,672,498,397,177,571,523,952,
283,198,374,443,661,517,387,419,249,990,108,811,444,186,446,133,761,184,441,
405,621,017,749,247,479,840,774,652,861,055,605,714,718,016,095,858,767,867,
781,342,128,600,459,399,699,244,163,534,241,053,573,243,909,814,666,990,699,
673,066,872,000,615,479,535,911,675,264,499,695,640,402,860,402,768,450,380,
735,545,991,037,478,907,584,876,562,333,263,230,915,967,748,462,482,102,309,
048,075,536,223,564,591,706,559,504,294,572,034,953,980,981,352,143,213,055,
500,543,671,210,168,530,018,733,558,123,544,803,249,512,915,165,225,537,363,
054,209,412,866,492,517,811,245,094,767,219,831,557,992,318,393,966,138,937,
317,370,875,577,341,523,220,018,151,050,844,283,397,264,546,224,176,076,484,
098,000,799,584,336,652,631,598,365,940,588,034,865,748,531,651,191,948,211,
124,489,379,162,185,431,440,327,772,107,608,248,993,932,574,584,736,951,226,
151,174,871,947,513,921,049,341,815,264,352,157,658,348,900,020,809,492,212,
704,040,816,136,785,440,430,067,363,941,649,490,930,762,090,650,475,732,607,
443,873,915,962,573,520,818,479,459,628,786,181,728,490,552,938,451,313,153,
252,587,423,681,425,349,329,117,550,170,553,834,482,265,583,811,248,815,648,
469,058,542,720,976,295,926,350,848,421,364,004,669,659,295,489,453,121,742,
637,423,663,186,277,202,236,853,613,156,305,385,657,545,438,304,356,212,698,
598,012,523,919,078,998,636,016,497,530,011,183,963,750,827,149,208,629,432,
288,673,913,805,528,064,283,550,942,723,807,776,042,782,444,256,243,267,693,
504,504,244,885,622,348,452,155,386,859,459,059,746,115,705,668,643,103,847,
911,945,127,002,090,456,970,723,124,181,494,581,246,738,990,061,676,075,635,
348,220,094,377,970,302,562,000,094,636,266,863,969,906,118,991,007,499,070,
541,393,486,332,235,283,808,956,211,592,554,064,094,388,568,881,560,677,460,
071,383,672,096,126,623,030,439,714,978,547,206,958,177,734,787,700,973,447,
840,332,110,734,681,827,466,119,667,099,080,212,980,505,483,141,077,197,832,
264,762,540,039,890,540,879,832,886,512,348,387,801,758,804,441,964,176,990,
707,791,555,137,932,757,707,393,776,483,129,346,296,261,999,651,500,859,082,
824,471,332,670,129,187,360,201,618,045,780,378,196,458,628,015,680,112,539,
870,914,478,730,771,596,612,728,247,376,654,032,224,472,001,732,909,655,792,
762,978,032,842,466,636,959,040,558,385,243,887,592,152,909,124,357,403,791,
281,299,269,547,887,415,705,305,037,451,435,370,753,841,296,476,964,091,362,
537,689,250,190,329,524,857,718,265,496,911,346,695,866,054,116,334,009,438,
203,523,954,274,564,783,061,675,763,285,536,302,041,787,875,629,765,370,855,
802,938,434,136,840,412,739,438,418,125,188,931,407,175,777,503,176,639,019,
345,683,376,794,407,279,684,243,122,280,143,004,029,579,348,027,275,484,959,
303,083,641,028,287,908,830,576,686,053,805,214,642,291,543,396,322,391,953,
017,679,334,301,521,135,175,058,277,136,606,837,921,965,138,583,609,009,361,
322,965,202,107,372,284,398,298,087,147,442,085,566,422,514,086,859,081,948,
488,970,595,117,499,620,173,192,689,576,648,734,295,242,145,351,080,382,956,
248,005,803,963,228,327,465,246,678,493,273,002,624,619,626,436,529,151,003,
153,914,389,571,728,173,695,611,640,246,709,101,721,475,364,422,685,311,771,
290,883,514,102,945,861,651,293,880,162,558,023,379,001,513,394,086,949,925,
273,979,340,129,578,900,915,996,744,972,756,991,786,725,508,412,161,136,767,
683,442,937,225,491,398,379,056,339,968,833,689,168,241,580,620,761,731,688,
378,909,821,940,202,188,342,770,874,846,569,749,590,135,991,693,279,672,820,
289,578,079,078,515,898,641,924,288,368,788,459,666,555,283,117,105,129,976,
574,598,996,018,972,312,204,765,237,230,410,501,653,287,125,564,065,749,855,
101,424,036,031,591,095,380,109,567,422,729,350,374,477,405,553,357,857,135,
103,462,331,287,656,714,931,031,129,412,860,596,628,765,449,345,870,487,973,
515,920,008,838,586,365,876,824,411,781,745,032,315,801,379,461,573,110,241,
627,953,943,179,779,756,336,863,734,116,617,816,483,398,048,789,298,871,489,
836,720,216,815,695,825,508,439,727,647,318,192,297,743,424,402,232,715,778,
793,089,020,782,708,276,649,139,160,803,655,605,928,648,296,597,435,728,525,
231,281,541,186,396,032,848,185,902,288,319,233,270,130,310,642,172,203,151,
942,696,363,628,646,334,652,022,574,125,328,432,059,903,372,660,367,912,777,
277,246,475,892,158,698,725,344,013,664,520,430,139,549,125,892,024,687,389,
044,259,893,904,891,992,995,280,432,848,724,317,459,930,977,609,041,683,915,
597,471,788,969,516,416,319,953,937,127,046,871,826,155,832,871,342,348,371,
371,855,138,313,251,450,595,574,321,534,567,002,475,828,187,243,253,141,056,
729,291,982,491,894,128,489,858,725,538,857,817,648,415,526,224,783,339,075,
372,847,032,380,081,013,282,003,830,299,162,927,348,432,289,735,924,876,828,
749,388,424,000,391,016,525,784,590,484,899,776,931,782,843,588,529,861,555,
973,350,608,600,131,971,309,705,233,820,136,327,774,160,658,470,105,232,845,
160,235,924,664,997,900,602,949,717,639,314,564,926,996,706,225,449,122,373,
560,648,938,340,996,397,105,042,756,529,605,869,094,841,864,471,725,060,180,
700,585,347,430,708,380,046,630,686,088,116,088,519,355,560,420,560,462,504,
591,971,025,840,867,816,335,589,147,825,614,928,526,323,494,652,452,192,492,
797,411,218,868,765,244,813,839,353,865,992,109,426,824,033,055,835,817,459,
829,296,378,917,017,273,670,942,229,148,233,377,000,654,738,204,219,320,294,
452,210,640,502,840,307,931,084,434,593,189,122,410,907,645,996,766,243,091,
276,358,015,608,749,903,175,937,380,703,681,663,307,929,892,158,035,041,772,
660,686,342,916,852,703,087,243,995,898,945,084,108,587,774,760,224,172,976,
493,084,716,339,245,456,767,538,731,479,461,694,104,310,962,304,119,529,909,
688,385,852,349,654,551,482,441,741,041,959,181,980,753,639,966,725,690,025,
223,413,784,482,067,228,345,366,105,578,442,836,594,842,979,150,889,570,138,
495,914,596,428,744,007,130,741,908,123,961,659,190,458,980,806,927,143,103,
817,155,918,658,493,948,950,268,667,735,273,914,856,115,664,997,511,771,279,
291,813,898,557,458,850,389,977,444,900,644,689,079,322,425,684,984,424,573,
703,880,345,019,442,135,793,543,798,503,024,310,380,432,471,500,555,446,459,
713,812,037,756,385,235,442,615,817,470,376,431,172,503,771,812,186,786,524,
798,122,969,447,282,754,817,211,140,008,629,334,445,917,222,199,641,105,026,
113,600,369,827,064,808,709,377,595,787,337,154,349,255,489,714,777,215,228,
975,344,668,578,344,431,579,831,295,458,100,523,684,026,072,702,289,073,875,
985,198,425,213,583,827,144,869,270,164,826,768,651,733,943,498,360,732,044,
723,643,918,555,236,769,518,995,610,424,802,458,799,561,509,333,037,626,729,
535,399,229,626,095,722,500,104,669,748,661,932,500,885,683,465,524,565,511,
973,297,924,607,263,201,463,323,297,438,294,831,039,617,319,353,860,340,148,
772,285,688,073,151,638,651,005,810,968,138,855,989,838,629,496,921,077,584,
685,390,470,564,023,781,766,372,339,652,068,223,422,347,989,386,817,093,170,
183,442,164,684,779,775,109,401,885,088,925,469,912,078,670,013,078,765,301,
420,908,916,184,819,990,163,507,998,850,380,700,279,743,185,542,425,423,248,
728,778,182,083,881,710,197,843,754,984,279,299,827,291,969,838,990,131,045,
864,653,756,494,501,639,796,177,050,430,142,915,115,966,996,699,524,269,043,
746,918,395,178,185,665,962,606,468,207,519,405,588,433,043,868,491,665,175,
148,977,077,907,566,139,514,110,942,706,528,838,561,391,119,747,027,015,559,
962,005,206,171,967,667,592,389,890,107,119,916,006,020,568,142,731,189,776,
442,057,573,941,972,866,310,006,912,929,299,884,362,587,352,476,451,423,763,
081,864,534,207,482,900,540,880,890,865,221,170,517,141,569,591,013,971,959,
252,468,332,169,323,287,184,936,469,981,821,624,392,609,484,368,956,712,029,
853,659,774,257,493,540,958,805,084,450,765,782,736,307,434,752,981,296,685,
926,251,352,865,167,610,090,883,758,926,941,428,563,472,115,327,581,705,729,
957,525,176,770,479,872,110,004,115,968,361,697,133,964,841,032,227,654,792,
172,884,130,556,892,833,893,001,764,343,212,065,962,885,862,064,333,926,598,
555,390,684,938,109,166,305,139,082,908,864,439,277,885,999,101,747,128,087,
384,451,918,068,349,101,192,420,134,765,610,509,498,645,882,954,780,736,287,
338,800,370,085,855,260,749,072,619,002,748,881,428,269,041,850,925,727,991,
844,892,920,638,795,560,399,249,348,660,217,342,187,675,851,583,321,063,003,
275,261,826,592,541,652,715,509,267,798,027,483,307,881,254,364,658,249,976,
557,193,287,967,320,188,784,840,648,228,696,842,139,265,604,840,314,220,651,
297,140,022,675,192,610,960,567,470,049,263,586,600,406,392,980,843,082,268,
132,193,250,632,452,874,422,024,247,948,390,447,998,641,802,877,838,028,021,
162,976,313,065,487,422,931,321,647,720,200,437,115,245,645,522,673,812,047,
228,032,374,870,992,627,595,532,346,163,013,450,850,100,110,254,107,552,789,
620,498,769,422,673,429,477,390,054,865,987,417,118,289,989,401,050,184,432,
102,966,371,873,377,701,729,157,793,680,126,250,841,274,298,844,590,119,284,
021,831,978,097,917,644,764,998,642,685,845,791,520,347,509,826,850,892,975,
305,831,030,219,061,760,419,726,664,157,388,496,430,356,463,438,722,099,083,
764,718,296,932,912,441,535,873,678,710,475,097,651,348,364,131,327,827,973,
458,496,199,092,962,124,523,316,161,797,857,206,421,439,213,225,368,559,973,
790,174,454,274,601,517,488,232,917,263,426,353,427,652,878,003,807,124,315,
974,668,050,271,683,343,972,828,742,409,635,578,160,168,181,776,183,177,754,
604,838,599,462,412,893,428,880,880,274,105,178,400,199,388,401,548,786,695,
831,769,059,641,470,198,329,776,586,933,275,349,370,873,674,693,004,928,117,
937,693,629,874,714,546,262,382,292,017,507,134,147,340,963,295,863,894,903,
042,708,618,972,231,457,471,608,077,554,276,235,397,975,895,112,275,587,891,
328,272,014,163,348,712,297,507,607,990,103,868,320,600,824,375,644,929,760,
834,922,300,868,787,485,029,128,312,611,915,763,188,681,543,507,496,233,390,
377,296,423,696,751,225,445,917,547,538,325,748,193,000,553,883,852,228,784,
009,259,438,634,811,127,214,008,514,705,208,585,143,315,134,040,688,917,792,
821,769,358,426,216,921,510,793,080,513,056,910,419,454,091,396,804,664,980,
968,180,337,665,559,523,730,453,888,927,081,048,584,370,833,747,547,753,264,
720,299,083,877,754,951,527,308,070,849,340,728,548,197,327,315,685,310,081,
519,152,612,737,940,158,637,503,191,524,685,402,309,622,040,776,247,425,302,
433,987,024,596,417,463,569,995,606,275,954,822,632,832,278,327,971,031,763,
991,396,102,756,350,033,719,390,115,322,678,798,361,103,990,224,816,310,735,
828,756,036,340,131,355,370,390,250,597,919,015,920,175,031,024,786,247,770,
590,999,599,371,861,049,107,718,596,422,310,594,167,000,488,415,050,258,012,
790,413,905,779,127,958,219,319,305,014,144,346,270,177,186,551,961,698,517,
931,789,116,274,382,448,970,779,855,808,541,322,314,039,048,287,283,895,521,
189,962,929,801,932,506,813,137,834,615,640,370,565,639,584,660,223,940,693,
626,806,270,196,340,742,778,936,125,080,640,413,742,327,960,656,352,462,547,
471,300,463,369,747,796,356,637,412,993,862,584,041,401,973,802,041,326,584,
824,768,906,931,135,187,094,338,465,388,459,068,613,343,503,147,359,831,072,
967,813,456,720,991,694,884,829,608,349,797,582,613,984,084,719,894,927,641,
980,867,858,013,617,077,579,991,382,296,619,291,702,610,383,988,355,392,884,
054,318,201,649,667,042,295,603,246,554,552,863,615,964,185,743,780,650,937,
880,097,833,953,836,279,543,997,070,689,522,580,017,858,299,908,276,641,569,
265,523,085,434,828,802,005,683,221,111,496,633,462,266,868,948,577,252,810,
094,564,155,075,804,711,949,820,439,004,305,240,848,536,162,628,915,058,219,
968,032,890,161,668,976,407,639,877,057,121,533,494,913,967,819,693,741,344,
562,395,058,841,210,105,071,982,656,345,213,861,376,962,261,903,718,714,218,
398,121,514,510,578,326,154,053,656,366,800,071,005,458,192,025,064,098,526,
720,156,238,039,497,260,202,884,343,702,410,744,675,817,651,830,235,182,201,
650,016,988,100,631,189,817,268,785,562,460,828,264,205,878,951,066,159,978,
540,353,239,814,108,027,387,640,605,879,600,472,932,267,050,028,383,869,091,
113,682,206,469,222,234,800,117,530,784,408,482,585,646,545,005,744,123,630,
876,775,174,112,958,429,580,376,062,510,099,533,310,592,362,414,016,828,605,
106,311,612,660,574,994,767,710,306,898,773,546,253,517,038,882,953,577,475,
334,533,220,036,319,769,368,628,322,601,325,098,442,833,010,374,849,441,507,
949,574,129,238,998,972,459,623,741,676,569,526,165,165,806,378,746,295,543,
618,373,781,790,987,983,292,967,962,342,396,228,162,153,939,047,232,062,639,
134,234,567,557,848,411,076,498,959,066,289,688,050,695,042,335,309,643,238,
230,828,240,147,298,082,134,337,680,865,538,040,055,261,674,678,334,814,207,
673,765,328,726,502,384,058,931,785,700,974,403,825,039,790,949,248,549,073,
022,407,352,184,852,064,243,519,308,271,287,352,204,427,769,779,407,492,937,
979,651,202,751,530,285,600,053,158,263,060,437,699,102,327,071,721,543,304,
324,954,901,130,817,243,022,268,418,258,763,082,061,181,638,014,580,087,085,
472,660,184,656,030,039,666,177,564,536,954,944,508,577,659,819,950,631,056,
458,725,979,333,882,150,359,974,572,220,662,185,604,627,506,510,764,534,239,
161,342,984,799,187,510,580,350,292,288,872,291,782,818,522,990,140,678,226,
208,634,803,825,192,608,506,868,670,686,427,584,172,819,436,995,345,985,709,
841,001,190,071,076,828,253,197,051,747,722,351,291,446,306,826,900,467,474,
690,676,797,929,155,358,260,511,214,613,716,508,964,452,046,298,702,020,569,
159,036,033,382,698,085,774,811,424,054,029,086,245,495,399,183,044,071,276,
360,028,655,234,820,209,050,749,283,205,481,819,678,424,352,484,901,633,207,
110,364,085,879,312,857,118,954,888,593,859,895,640,455,177,784,304,497,874,
530,677,511,335,689,017,260,698,279,358,620,743,376,188,165,038,101,270,738,
898,308,873,515,446,671,348,418,238,285,574,754,036,681,089,667,161,265,287,
695,705,931,268,639,117,548,177,886,859,174,344,126,724,390,353,221,320,569,
991,820,852,567,163,007,629,844,583,784,139,630,520,292,590,071,523,456,322,
948,243,676,006,736,308,417,763,621,243,063,354,823,640,837,663,398,722,140,
809,742,096,939,205,909,165,240,667,442,159,737,544,730,803,407,093,320,629,
138,581,900,304,629,773,670,004,500,100,911,498,504,981,576,744,610,025,143,
194,401,648,114,768,877,128,958,695,436,411,085,981,944,868,595,389,241,900,
092,143,258,791,733,348,337,215,313,020,938,382,865,395,207,984,237,918,164,
493,083,801,766,950,209,770,636,866,113,818,302,574,408,684,524,367,338,964,
335,202,840,257,887,371,428,171,665,974,223,451,487,834,910,971,111,763,538,
737,313,738,429,646,661,528,332,563,562,135,962,626,311,581,296,336,396,263,
947,039,852,316,170,864,695,293,425,150,469,163,280,944,659,328,894,316,912,
685,799,487,543,564,570,449,606,125,253,182,313,640,904,183,287,050,936,843,
825,748,423,193,848,435,832,076,089,779,123,732,017,075,877,345,094,049,951,
397,462,392,690,182,387,674,364,398,044,899,028,426,129,477,691,273,501,531,
646,964,882,594,926,298,111,861,147,629,593,506,470,303,275,287,511,317,965,
944,841,400,544,438,849,804,359,188,630,789,098,291,840,836,880,527,513,855,
661,209,788,240,378,909,047,679,903,536,870,288,702,542,994,847,868,886,552,
170,888,631,421,337,323,594,510,798,023,108,613,755,865,664,239,744,984,456,
100,778,999,855,235,493,774,923,670,973,651,495,716,703,622,059,767,435,235,
966,468,224,178,146,502,191,653,399,635,123,510,187,368,070,955,805,354,721,
184,903,086,933,197,126,806,540,120,543,213,147,852,040,460,131,252,439,503,
918,203,350,606,294,363,201,801,666,286,838,771,200,458,375,657,665,411,218,
090,295,501,295,005,633,722,707,674,845,597,811,240,774,756,561,451,621,512,
849,120,298,754,480,484,977,151,175,762,304,670,814,062,137,149,131,529,322,
228,295,962,014,122,166,365,130,991,117,754,184,108,885,231,556,439,368,945,
435,365,337,755,377,330,067,780,558,005,377,836,489,903,047,861,457,908,807,
888,554,085,516,281,629,736,776,940,478,908,188,545,451,484,175,290,086,328,
090,906,409,791,416,368,960,077,187,530,704,454,080,885,654,642,095,800,657,
480,541,342,486,382,528,715,644,878,158,544,285,624,540,274,017,728,993,936,
748,690,928,978,016,396,798,009,048,264,813,233,092,047,979,557,136,872,570,
692,301,694,742,130,197,760,564,901,708,244,216,545,569,563,998,383,938,625,
256,611,472,319,287,220,253,283,759,354,328,826,827,166,889,990,174,189,216,
208,414,585,284,182,961,493,688,294,216,058,105,827,595,175,891,806,977,310,
611,521,658,239,359,691,642,774,968,321,625,169,460,069,853,939,951,312,761,
184,173,431,675,650,964,448,996,879,066,736,587,613,961,492,341,660,249,520,
933,749,220,348,531,497,929,555,459,549,546,399,023,048,757,220,454,997,442,
931,318,029,826,580,341,255,239,112,562,855,626,746,223,191,241,874,004,552,
391,638,627,543,570,024,069,586,000,759,340,908,905,971,456,826,096,472,727,
751,445,226,534,733,263,472,060,184,426,886,004,590,472,986,689,110,459,780,
385,627,039,667,787,042,238,078,559,209,878,638,269,814,169,634,444,186,813,
320,645,645,280,072,053,672,553,359,316,784,101,629,529,690,911,143,677,527,
034,078,719,304,973,936,247,822,238,480,669,328,245,173,433,007,709,373,649,
287,447,414,161,275,437,788,992,377,838,778,470,572,696,366,289,469,497,926,
038,290,193,219,543,854,566,916,435,939,869,151,566,907,148,672,345,737,666,
415,351,862,329,665,488,469,783,965,915,685,609,895,415,063,184,830,891,334,
692,531,510,433,234,931,801,776,091,249,092,459,700,891,101,917,305,865,512,
338,485,334,069,719,691,865,158,254,440,341,526,851,228,727,634,045,775,888,
562,570,892,828,481,800,610,059,314,128,796,842,009,517,592,459,949,606,642,
854,093,184,285,495,046,571,532,288,784,941,763,404,192,156,433,912,301,902,
710,152,723,318,604,092,514,159,235,091,948,639,826,088,555,504,710,466,930,
305,711,148,842,276,831,555,886,677,151,906,157,653,158,638,783,360,394,927,
405,332,776,148,860,172,374,949,790,082,241,324,322,283,860,014,237,384,906,
532,717,781,330,514,461,584,678,679,058,470,742,825,196,363,955,616,453,125,
960,944,486,456,049,483,988,093,145,110,108,113,519,973,005,222,634,201,025,
730,997,325,729,171,789,918,243,761,904,393,229,797,067,905,581,457,349,133,
720,848,584,589,616,173,310,900,241,065,410,675,191,686,565,622,692,658,113,
235,924,403,481,204,291,863,114,604,856,311,363,240,569,385,152,966,025,263,
992,804,338,422,509,642,121,825,091,917,062,627,580,183,324,089,544,849,401,
703,613,806,265,216,249,126,961,892,866,866,840,272,273,317,872,005,717,482,
542,235,694,417,355,194,720,925,206,450,277,930,276,270,467,611,031,665,397,
482,938,575,931,134,886,501,952,503,120,771,367,938,680,493,369,640,088,496,
551,302,990,334,587,290,154,933,882,418,261,458,757,042,840,550,645,218,028,
628,518,694,976,430,118,596,820,316,505,519,224,384,493,437,520,837,704,109,
051,501,764,216,094,074,379,614,694,197,436,527,338,312,059,706,218,514,631,
210,673,513,528,528,642,160,777,422,193,671,461,508,733,639,130,213,865,016,
886,114,861,743,886,739,716,614,164,459,512,355,890,539,478,595,278,046,434,
756,577,616,541,144,556,562,009,901,594,901,879,534,660,879,535,911,124,453,
649,564,951,289,266,613,896,033,263,655,131,558,543,808,885,449,284,767,758,
517,826,340,816,758,056,067,571,187,415,487,033,281,551,872,469,229,062,716,
203,331,922,938,560,121,459,003,952,925,098,723,472,725,643,653,932,978,126,
882,718,685,452,027,676,319,835,406,982,603,513,169,661,363,357,665,571,279,
742,284,240,730,307,274,560,925,923,684,183,805,909,623,391,390,027,349,990,
875,556,498,828,355,854,671,720,073,866,769,867,611,796,723,089,364,365,788,
176,960,080,519,997,989,460,106,303,964,418,929,194,742,637,185,742,889,882,
916,225,177,356,394,322,057,285,417,585,987,533,316,906,431,347,034,617,761,
522,915,376,298,779,187,204,715,947,991,147,168,231,913,248,299,884,798,614,
087,240,835,154,724,250,771,640,374,461,090,343,331,381,448,937,722,379,357,
125,514,302,389,123,818,044,047,887,272,334,000,351,734,320,689,871,570,528,
527,061,185,644,221,483,792,121,091,403,167,608,420,371,271,716,481,221,430,
036,315,406,956,388,955,246,044,128,063,766,145,465,534,364,222,204,242,495,
894,297,199,101,703,588,899,077,697,510,228,202,588,555,439,921,732,884,683,
301,413,984,863,316,070,496,762,986,525,030,685,394,569,415,624,916,796,087,
518,331,791,815,210,508,799,438,931,923,639,758,284,932,909,796,606,307,032,
578,144,529,447,119,100,361,809,321,315,433,255,121,764,559,720,746,273,858,
676,643,801,399,883,897,680,041,443,875,085,332,646,235,552,932,153,072,452,
491,539,250,896,920,071,160,868,921,417,434,482,708,211,209,852,394,731,212,
769,361,809,182,259,624,280,301,926,430,162,691,573,091,351,369,845,206,429,
597,001,297,022,309,465,468,711,804,419,326,357,446,771,925,302,093,578,636,
051,871,657,603,974,323,596,497,706,104,730,450,331,545,986,057,655,351,039,
903,263,587,472,279,496,157,317,899,070,731,759,433,475,121,041,508,920,566,
355,165,287,742,115,943,325,032,731,189,136,654,818,796,127,992,228,371,938,
181,033,809,881,475,035,808,303,438,513,508,756,058,426,881,626,653,272,878,
396,581,919,974,769,924,126,128,817,543,740,347,209,148,845,446,870,992,570,
380,194,026,167,535,104,857,258,910,391,193,655,196,814,421,010,272,101,716,
240,746,006,504,809,321,525,959,783,178,769,211,018,360,024,324,371,773,425,
048,318,158,843,772,946,496,362,339,009,618,365,796,536,032,082,143,696,418,
388,583,358,115,902,928,464,218,822,683,360,515,047,346,792,866,441,835,323,
133,905,869,926,269,045,246,040,577,310,756,469,517,551,353,282,804,923,625,
367,184,466,704,155,852,248,441,083,100,038,239,674,630,289,218,605,844,950,
722,700,493,785,855,626,886,657,914,581,687,695,370,052,971,875,558,149,817,
678,720,760,046,677,221,161,909,537,846,351,292,916,848,978,014,785,261,175,
837,337,183,025,792,279,674,472,745,641,081,318,748,563,711,457,877,071,761,
571,549,411,454,165,709,942,474,670,818,609,538,433,019,485,325,867,516,335,
587,225,153,382,741,801,255,020,321,231,836,754,946,647,791,232,749,395,129,
973,112,892,254,148,770,623,401,845,831,050,129,303,454,582,422,805,139,816,
324,817,111,915,852,803,150,607,008,741,854,593,603,445,685,822,325,267,748,
233,875,063,104,881,337,200,565,530,961,233,903,954,940,878,863,068,467,505,
750,338,604,625,803,486,865,092,922,118,231,034,488,890,333,988,746,777,586,
967,271,112,867,953,672,103,477,315,475,862,249,505,454,699,349,154,874,507,
291,321,077,879,944,595,350,284,299,550,967,125,283,625,652,125,214,031,116,
903,057,821,929,361,123,967,057,128,252,914,390,461,340,718,310,951,397,086,
038,945,032,694,256,495,776,707,271,061,651,330,438,293,369,647,383,297,611,
663,004,187,642,872,107,957,735,823,175,547,367,708,775,029,892,638,368,400,
529,715,208,046,664,516,312,833,118,840,838,093,505,265,001,829,227,372,732,
617,743,550,675,480,051,980,223,601,312,746,241,593,711,403,975,048,765,753,
942,513,762,924,382,550,793,246,836,320,447,202,907,989,904,155,839,953,801,
499,332,895,769,185,930,183,488,114,459,314,271,868,611,602,000,064,340,609,
524,864,261,956,653,218,370,374,345,903,054,991,025,018,104,170,651,509,881,
499,105,588,654,621,501,183,293,555,255,276,552,443,555,487,030,497,591,217,
330,287,999,735,364,685,647,618,854,685,733,554,315,215,614,309,480,840,430,
677,770,681,017,062,662,764,380,432,060,882,425,859,434,794,484,110,034,710,
689,636,594,907,554,447,307,736,244,411,950,862,254,844,610,983,568,019,655,
038,722,736,741,134,387,364,672,962,869,125,001,590,168,866,109,508,955,617,
485,602,613,060,048,320,559,798,461,277,231,854,107,382,674,389,020,793,163,
546,165,565,377,371,311,068,783,577,998,013,596,991,813,431,722,563,466,106,
876,297,362,364,580,886,152,403,570,069,170,902,952,667,927,050,575,460,909,
693,451,642,067,049,679,076,168,388,308,689,022,025,011,930,100,386,302,609,
743,468,263,528,864,552,808,235,312,262,428,259,378,611,641,487,536,962,548,
798,003,477,222,890,610,256,001,009,431,632,164,964,894,692,116,302,353,524,
051,300,043,342,065,201,528,718,735,070,218,881,263,133,140,534,931,885,504,
503,188,190,978,256,747,792,524,523,817,635,137,618,095,790,092,208,187,709,
872,331,478,550,057,108,589,747,258,222,488,601,274,924,582,621,473,271,792,
652,695,441,468,230,207,807,024,946,422,713,645,567,422,455,556,786,853,286,
083,051,342,735,920,380,070,945,315,027,952,974,692,669,493,885,056,921,517,
227,321,174,929,146,019,236,070,551,190,119,114,794,729,878,317,566,891,133,
626,674,612,335,752,955,044,518,317,076,501,202,533,893,821,325,477,971,689,
745,037,702,215,153,215,998,764,524,919,268,528,277,760,987,264,802,539,600,
693,535,147,829,501,810,823,375,126,047,960,594,176,438,772,411,588,690,552,
646,198,197,654,500,007,033,642,469,274,241,070,880,349,363,045,096,831,747,
288,086,310,782,534,444,836,860,508,080,625,147,522,899,576,930,282,106,375,
919,144,050,532,293,664,634,979,974,177,057,923,290,402,402,210,648,722,314,
882,189,994,443,586,971,497,631,301,309,194,542,860,150,932,251,912,943,383,
097,757,064,504,689,563,398,423,085,957,479,691,442,894,610,363,583,527,097,
539,235,643,184,786,422,164,182,768,956,698,217,261,854,294,007,850,282,074,
212,938,509,379,055,165,187,283,965,448,742,635,535,368,391,042,500,286,349,
565,694,159,440,240,279,274,147,226,387,482,701,209,129,870,421,848,870,289,
323,482,042,635,326,668,630,748,442,939,264,437,789,658,467,689,305,710,807,
781,694,555,775,641,642,666,019,010,221,861,840,840,933,463,640,808,456,062,
255,760,209,696,979,270,815,796,078,378,179,992,012,087,597,271,830,173,858,
251,139,648,869,534,387,303,957,427,541,868,841,222,913,235,149,110,661,020,
307,052,617,213,270,897,530,840,532,990,374,394,791,095,057,967,566,185,040,
000,956,907,615,504,421,891,384,024,899,358,367,122,281,531,896,186,167,574,
677,674,575,306,315,907,205,106,332,193,295,188,801,925,173,882,177,399,782,
704,980,974,257,979,925,782,836,086,948,288,035,009,491,631,649,076,403,337,
736,734,497,458,260,227,541,241,201,305,301,210,306,862,757,127,288,833,339,
192,989,206,333,729,086,757,364,495,759,391,510,082,416,387,918,658,460,124,
591,101,361,750,531,838,988,907,768,156,550,881,469,721,712,043,815,554,757,
363,601,966,999,224,884,420,506,141,900,922,099,692,593,243,353,180,634,030,
431,270,903,384,455,544,432,666,801,235,358,056,371,936,532,592,194,558,550,
429,850,250,658,767,280,706,968,649,119,208,896,502,366,916,333,802,428,476,
013,233,678,014,884,145,942,904,528,110,368,244,591,593,480,266,829,647,190,
389,577,622,038,202,847,520,891,582,812,151,331,183,600,589,981,857,953,650,
164,045,800,408,001,875,104,595,019,968,236,693,633,578,763,952,575,932,047,
515,110,287,099,075,985,077,801,660,100,436,702,289,307,630,518,792,517,832,
640,067,195,539,578,642,226,592,031,224,703,859,969,488,519,490,916,626,683,
635,030,594,788,941,272,865,756,617,743,716,124,268,560,058,863,070,004,050,
748,221,902,267,062,757,527,489,387,547,937,485,719,214,365,502,025,993,679,
086,858,887,448,793,479,898,899,086,619,504,183,835,312,376,150,700,019,235,
541,664,933,474,308,047,074,469,389,051,425,974,507,137,234,392,029,624,540,
659,932,174,070,842,535,997,078,636,259,282,899,966,913,985,024,053,432,466,
671,060,007,469,506,079,080,310,097,441,611,077,491,314,434,632,719,707,368,
253,351,405,014,713,976,592,772,439,706,711,672,358,678,670,547,587,529,000,
769,293,792,163,231,831,310,293,014,309,460,772,324,209,472,454,237,268,827,
278,111,971,229,566,067,549,543,617,128,963,418,041,222,995,539,496,261,122,
266,886,217,691,258,913,620,756,621,597,469,879,857,477,193,880,516,263,475,
605,040,056,826,398,176,573,649,970,770,586,427,990,456,770,238,680,793,423,
578,222,422,737,124,523,836,097,412,817,543,792,772,389,309,305,245,598,241,
821,010,685,770,037,773,654,302,536,408,452,991,230,237,905,115,799,459,986,
155,597,360,578,524,100,961,245,923,870,011,029,528,731,060,314,994,539,156,
291,032,079,925,380,091,349,702,965,802,656,726,042,792,123,659,425,850,239,
125,517,510,500,053,649,297,144,201,776,183,609,266,450,259,984,900,393,876,
186,896,849,028,961,541,358,654,201,916,517,453,211,509,320,433,706,712,720,
157,098,834,196,854,835,206,376,839,036,751,831,474,237,333,953,842,071,869,
608,977,929,575,263,494,686,000,448,985,622,417,454,194,941,692,458,455,657,
135,620,637,452,944,131,180,181,422,842,088,615,179,916,041,713,997,220,284,
264,748,085,464,585,679,070,280,186,575,428,289,412,615,025,425,892,352,192,
263,439,167,849,748,625,526,031,825,263,143,730,995,088,224,284,728,590,066,
699,117,638,904,269,560,697,523,669,067,023,445,168,018,205,380,745,343,732,
639,587,942,221,436,267,613,001,772,920,361,806,271,280,927,045,591,978,803,
603,231,477,652,490,021,712,634,507,079,033,799,746,256,746,967,621,818,279,
427,409,714,685,789,202,398,415,246,640,910,436,685,389,459,260,329,988,209,
901,432,006,188,556,707,330,011,427,694,731,611,207,945,103,086,818,320,797,
713,124,457,853,872,738,912,734,389,027,518,349,375,431,665,170,207,707,774,
050,796,257,417,637,052,726,903,416,652,776,135,775,654,600,792,957,713,142,
380,504,143,474,670,442,523,561,402,347,929,601,802,355,098,723,923,286,826,
252,104,418,804,239,791,028,717,199,637,405,739,166,126,323,974,783,824,935,
528,856,628,269,901,629,081,984,146,882,949,653,693,080,496,470,353,180,093,
124,162,841,558,099,661,283,021,587,295,267,729,103,355,638,618,018,034,063,
118,423,078,192,495,806,997,218,279,290,710,385,170,253,530,201,127,372,689,
950,626,942,859,679,053,706,265,146,435,361,366,701,827,857,924,348,928,402,
083,294,977,179,465,015,253,641,213,454,355,813,587,841,664,467,249,036,328,
559,346,356,511,276,337,714,923,799,909,900,532,545,558,665,303,241,082,701,
223,634,865,195,962,938,899,863,900,555,026,814,355,999,326,962,858,263,892,
330,338,950,502,998,886,227,733,838,075,630,165,239,366,287,627,126,523,626,
356,021,095,886,875,583,884,571,189,323,252,449,555,481,517,493,294,135,427,
878,557,992,366,794,455,197,921,075,464,785,548,008,428,218,158,988,349,171,
514,134,688,092,805,619,184,770,508,463,773,715,325,654,903,352,660,633,707,
066,906,835,333,164,129,813,043,442,533,483,000,297,096,604,826,355,316,591,
355,241,122,668,851,287,062,337,956,303,028,095,819,019,112,473,542,820,060,
815,659,862,566,075,850,695,718,302,396,564,145,726,565,444,211,482,139,175,
932,723,364,722,258,714,140,176,115,417,687,299,310,959,476,407,451,240,091,
812,050,574,870,922,583,183,427,285,024,441,646,476,602,097,315,164,976,671,
523,822,204,496,765,649,827,634,291,648,962,774,348,403,464,875,922,056,493,
089,083,554,332,757,494,019,729,892,916,025,189,949,827,312,103,397,796,854,
175,322,780,017,352,534,845,977,931,860,296,309,372,539,629,393,077,472,682,
706,262,054,224,249,562,106,529,724,791,612,936,500,301,416,488,151,164,713,
192,010,506,410,402,234,700,937,770,396,239,259,784,783,908,642,501,738,398,
202,081,449,010,447,767,623,665,783,192,426,059,362,854,648,026,916,672,824,
691,597,903,660,749,265,761,355,875,332,844,806,636,953,830,369,923,530,332,
491,122,489,456,128,301,755,076,021,096,880,043,986,469,660,263,343,615,691,
601,245,580,725,182,241,868,078,227,717,796,861,079,291,800,624,179,446,133,
715,326,728,231,780,386,839,716,323,224,190,872,836,316,874,217,599,172,232,
935,453,006,579,962,224,785,817,264,705,268,466,586,741,072,031,334,386,270,
813,125,574,924,430,860,131,205,498,366,177,084,918,319,256,882,220,098,333,
348,871,074,691,281,981,731,980,288,306,008,102,740,495,133,607,887,563,953,
733,909,672,440,576,349,591,228,937,560,342,404,255,728,612,686,235,229,833,
368,097,972,801,447,594,792,395,287,263,290,199,718,937,253,548,050,058,557,
115,191,235,931,584,202,422,546,086,748,123,118,623,102,947,368,263,953,038,
821,228,575,084,114,821,788,440,051,758,126,917,018,666,353,172,321,563,920,
970,110,291,118,079,327,109,673,286,627,452,480,949,342,044,943,709,164,384,
100,481,604,438,238,436,766,785,951,543,754,053,923,712,497,909,434,995,487,
657,705,999,533,920,767,526,332,233,539,573,692,466,331,854,930,912,282,469,
482,169,505,488,455,265,336,109,372,768,222,820,884,321,731,618,424,096,176,
701,592,820,563,040,110,014,675,464,920,925,218,827,099,408,254,289,134,065,
111,673,191,592,675,810,557,078,931,037,813,796,757,292,899,090,186,240,336,
744,892,118,076,024,144,833,633,717,052,698,017,190,151,503,949,039,805,879,
140,548,239,207,518,277,523,106,132,015,288,344,525,693,249,073,205,523,767,
723,996,675,151,763,756,797,821,071,259,359,705,922,616,970,570,520,267,201,
512,245,588,970,058,416,153,313,122,538,443,158,554,627,397,611,563,594,795,
223,230,867,342,253,056,213,511,045,471,702,668,981,878,501,923,219,426,083,
938,224,752,626,100,772,119,319,865,332,349,697,026,197,307,733,566,531,195,
818,273,255,807,551,397,381,734,220,426,781,382,148,686,160,040,950,870,769,
769,842,458,148,634,323,142,964,652,750,786,987,255,849,634,764,749,359,017,
008,577,161,449,367,358,170,737,197,041,134,442,851,842,690,925,370,159,876,
409,518,939,318,961,636,784,727,714,987,701,182,931,193,482,560,974,889,655,
000,445,593,522,613,347,582,508,675,011,434,024,987,784,140,412,650,049,077,
896,695,598,952,867,200,737,096,197,767,069,656,524,540,754,487,714,877,388,
047,723,696,170,464,563,314,356,900,577,984,272,242,312,126,066,557,381,079,
096,997,158,083,484,222,754,189,969,610,201,579,777,564,279,226,091,604,269,
337,154,113,349,679,843,186,117,803,511,573,519,082,098,908,243,432,197,666,
897,280,397,066,645,196,069,654,578,946,413,909,145,106,220,359,939,174,649,
060,291,272,560,629,766,753,438,045,424,127,517,119,512,260,204,196,304,080,
574,903,560,532,609,972,559,156,072,785,499,366,823,685,770,498,925,497,563,
408,043,379,549,440,497,212,173,945,326,427,216,363,497,329,574,351,079,624,
246,118,530,892,066,112,166,546,844,405,854,133,925,375,242,532,094,817,708,
418,423,578,123,053,420,939,540,743,957,852,467,133,882,481,989,358,012,845,
433,777,312,091,204,230,385,870,982,922,109,207,428,881,814,882,653,844,240,
600,020,413,508,354,364,896,557,085,492,492,295,045,268,749,850,860,498,535,
373,450,998,617,785,814,494,641,105,313,424,810,363,997,510,717,228,983,497,
960,879,101,424,675,609,095,044,506,198,824,323,886,393,643,237,190,859,750,
976,636,394,290,120,504,411,681,731,666,825,415,411,261,377,579,394,761,071,
288,526,518,990,481,174,388,665,836,000,749,098,714,216,533,564,857,251,329,
178,523,021,038,459,421,365,020,532,099,855,262,459,070,937,944,979,034,206,
181,950,304,342,277,003,965,955,212,503,384,649,028,932,683,333,818,636,548,
045,630,964,946,174,068,257,103,107,344,915,031,937,088,304,235,160,306,030,
527,022,259,825,898,190,430,594,938,404,432,740,907,350,645,588,355,164,653,
024,035,632,786,165,421,533,868,480,923,674,365,238,570,673,474,479,504,111,
176,921,413,657,126,084,045,858,093,321,965,397,494,521,746,656,594,981,138,
190,240,647,063,883,398,916,114,473,087,465,489,283,687,039,380,059,532,846,
496,497,651,876,353,750,056,726,500,924,956,741,380,943,165,705,028,083,823,
678,910,041,067,283,241,523,604,536,219,268,364,165,795,744,013,157,829,820,
981,063,858,517,306,016,614,423,089,299,277,828,658,121,497,829,819,387,801,
284,648,496,743,972,328,115,302,142,524,240,402,134,291,952,119,343,796,244,
970,492,506,862,246,985,803,150,463,222,784,331,512,445,178,876,181,516,778,
493,926,451,202,160,170,642,057,428,014,362,595,013,010,651,657,466,799,706,
714,397,588,029,292,288,389,658,257,797,697,979,547,491,735,980,403,919,469,
902,531,697,121,024,416,998,230,976,462,620,103,104,093,146,283,991,773,951,
646,102,806,509,372,015,777,910,986,021,426,188,491,431,175,357,511,541,136,
175,878,476,477,068,913,812,767,598,652,311,134,708,132,905,122,799,856,329,
988,875,102,285,492,439,825,552,404,949,197,029,679,932,215,271,490,898,973,
941,635,701,372,676,795,190,933,601,777,017,871,363,124,807,216,950,375,602,
761,105,055,730,996,776,987,352,492,586,588,731,744,041,848,914,659,926,482,
033,690,999,624,374,854,794,376,608,309,909,101,205,153,426,238,108,678,109,
812,936,619,635,378,905,822,795,326,792,772,265,298,908,314,737,444,598,385,
287,224,229,474,842,119,988,033,370,746,689,613,196,071,789,573,831,913,372,
480,654,099,520,740,892,308,082,319,944,304,875,614,228,002,793,415,831,404,
023,589,682,343,533,542,011,235,413,716,946,851,329,536,630,884,741,061,798,
735,959,752,473,180,801,233,380,364,650,168,968,332,133,516,004,708,819,559,
999,779,795,201,147,582,372,245,452,553,495,561,257,911,611,949,480,454,066,
980,191,942,383,303,042,306,650,921,976,305,370,391,045,750,293,504,159,498,
700,896,421,218,217,872,167,776,968,789,789,907,442,440,129,585,162,400,191,
123,606,632,685,668,875,956,478,284,045,899,689,595,317,937,398,379,856,270,
812,581,319,057,044,299,976,004,547,527,541,322,370,646,207,041,794,277,068,
266,712,160,628,362,160,440,162,967,018,212,384,816,838,777,148,783,871,624,
226,195,991,775,962,109,191,330,848,351,002,560,816,889,457,535,607,124,158,
920,458,615,767,796,428,099,023,398,776,954,202,446,311,627,457,453,292,921,
150,424,696,393,925,229,182,279,044,942,239,440,020,597,229,480,159,223,721,
985,599,717,977,069,807,871,531,169,213,872,285,949,613,409,129,909,378,290,
203,926,283,124,527,332,896,170,674,306,809,783,578,567,829,009,040,604,439,
939,678,254,951,856,031,611,082,501,070,237,097,682,646,928,956,688,490,521,
547,823,419,303,102,168,895,408,371,003,296,098,096,160,881,979,728,995,792,
848,718,202,998,658,991,564,336,659,299,846,315,156,137,185,571,686,017,702,
970,538,560,354,933,110,521,889,715,467,053,638,336,698,316,894,351,836,643,
265,491,133,491,660,367,952,196,277,208,035,750,244,150,501,657,112,961,803,
826,064,150,492,444,516,059,879,535,941,484,493,989,003,187,416,923,447,518,
488,377,964,404,313,253,183,681,315,184,880,549,197,094,622,038,154,648,114,
477,230,590,513,968,592,175,816,558,085,443,693,070,932,558,670,735,295,525,
523,638,732,336,015,562,205,080,807,726,691,138,898,000,752,704,997,815,559,
953,745,331,946,084,980,301,999,042,374,586,440,432,950,004,516,417,841,066,
391,573,065,953,193,711,671,693,701,106,117,473,202,048,546,774,972,423,577,
764,578,348,113,279,410,145,918,081,583,014,950,225,899,995,411,458,476,614,
929,523,323,405,672,938,081,649,360,493,872,024,120,875,127,073,326,949,817,
747,390,851,217,270,245,278,763,687,016,977,457,054,514,784,109,256,523,224,
583,096,843,183,455,831,308,684,664,056,970,143,566,939,818,221,551,594,868,
928,767,650,439,569,347,714,219,377,948,525,110,514,178,365,319,242,861,080,
744,579,778,797,977,689,673,352,457,414,717,612,576,890,874,666,555,941,276,
425,596,202,891,371,080,967,636,752,862,052,264,734,335,339,537,134,350,469,
529,802,187,192,567,452,443,993,046,512,937,672,428,010,059,274,143,203,007,
144,933,631,777,506,810,409,479,104,642,289,846,709,946,024,148,746,782,563,
231,281,201,255,360,754,901,220,341,362,554,286,841,850,503,993,059,836,870,
916,698,574,287,660,134,194,310,413,290,320,485,028,047,308,062,131,904,053,
326,242,052,835,816,458,743,184,917,224,197,406,330,867,531,958,883,637,037,
168,876,236,609,292,980,052,487,435,256,748,518,421,367,359,267,717,461,216,
164,069,704,162,753,237,628,109,286,374,368,183,085,093,326,684,914,340,412,
797,683,904,370,028,418,026,943,844,859,241,665,663,487,623,511,303,629,712,
776,560,482,658,638,470,149,923,491,284,150,685,109,190,368,457,353,987,452,
383,351,204,572,371,005,513,265,151,590,072,941,899,591,420,474,838,797,365,
965,568,297,590,535,240,586,034,670,931,959,043,731,368,827,220,345,012,333,
465,149,113,733,672,271,700,062,137,248,792,720,102,104,866,817,494,810,563,
303,030,521,984,230,416,309,277,004,879,811,437,272,035,998,580,008,272,808,
090,315,824,724,973,086,206,698,471,633,501,076,208,977,712,730,476,775,279,
101,012,586,140,637,682,462,619,902,387,396,638,581,280,079,015,306,215,910,
252,804,207,432,801,464,094,924,594,403,869,479,438,404,010,163,732,031,009,
207,646,604,470,333,671,555,496,663,522,948,501,974,544,065,162,882,569,916,
963,889,318,985,456,316,969,260,318,163,829,850,615,212,285,963,311,511,637,
929,238,386,057,803,577,243,169,071,017,935,282,163,450,148,654,646,290,759,
613,225,155,929,066,817,806,703,998,838,303,432,144,103,884,822,746,161,851,
255,328,198,986,392,602,282,678,684,314,355,602,785,210,848,061,308,510,658,
888,421,185,968,061,516,978,667,107,788,269,913,349,878,804,042,308,756,840,
503,966,919,004,671,903,522,780,961,022,225,390,923,135,908,022,431,861,959,
222,344,619,667,163,893,698,548,925,181,745,647,306,815,161,193,027,025,985,
157,589,594,375,482,012,660,438,801,681,105,992,399,115,130,958,854,352,125,
630,566,953,106,120,654,798,309,625,753,694,857,635,749,036,054,102,356,627,
279,022,438,401,794,096,765,917,082,249,212,689,752,024,893,157,202,362,733,
857,666,749,598,110,025,034,443,528,942,811,494,427,242,413,163,681,772,122,
603,791,375,774,006,573,079,283,460,258,042,644,593,326,480,477,698,445,502,
135,260,090,982,489,392,162,178,424,279,632,842,591,899,211,837,079,683,303,
311,126,744,323,871,977,470,803,918,021,037,382,363,528,885,558,908,496,146,
103,872,807,177,742,915,013,331,578,621,907,891,461,791,628,149,496,613,025,
604,443,574,537,567,183,554,355,865,587,304,170,056,619,764,918,133,530,795,
555,619,308,093,808,606,063,951,529,780,315,756,171,049,779,017,465,516,838,
352,574,552,514,109,754,297,667,879,653,336,726,513,260,253,261,746,300,164,
153,321,707,880,862,287,014,350,572,868,240,652,266,361,394,038,328,443,988,
298,789,948,731,784,211,577,004,957,476,778,914,386,139,410,663,372,806,568,
432,356,891,437,625,985,500,604,765,665,042,475,937,579,500,693,513,360,352,
058,509,281,074,017,398,425,251,836,684,587,426,251,210,449,159,046,269,966,
962,738,789,946,065,892,387,979,506,546,039,658,751,316,830,411,285,811,913,
544,135,497,123,308,391,036,069,603,027,099,108,488,713,314,829,720,182,804,
893,717,067,367,850,950,914,714,984,748,858,974,372,890,215,875,454,504,024,
212,388,772,481,569,246,109,913,215,614,429,607,059,885,581,206,576,402,220,
085,269,371,743,829,779,369,762,024,098,026,676,192,709,898,354,961,444,830,
426,141,471,092,680,505,037,020,210,687,472,444,808,940,573,425,600,672,791,
329,402,871,201,876,895,549,061,127,448,278,586,622,404,204,141,654,044,617,
639,967,085,657,472,478,670,152,576,717,246,469,451,341,753,911,715,173,834,
229,224,521,878,929,702,580,272,810,355,386,602,028,552,924,506,685,094,685,
707,161,196,897,078,333,778,437,384,868,684,089,389,076,003,440,380,936,643,
485,777,592,360,944,506,350,808,923,703,435,314,734,417,048,451,825,750,387,
194,151,091,158,306,223,254,193,003,587,204,480,771,986,849,297,087,102,296,
355,248,183,781,740,531,662,579,075,050,984,183,765,983,936,516,544,415,463,
026,329,971,442,122,534,444,554,483,017,339,169,816,640,407,653,253,089,098,
569,103,553,683,427,916,535,559,102,590,283,254,664,585,947,298,176,246,966,
656,595,073,562,439,410,773,893,448,662,971,208,091,789,166,228,870,127,348,
664,796,060,321,367,796,144,365,937,891,280,486,010,824,376,185,137,119,213,
095,522,727,271,983,845,104,143,640,646,367,602,031,353,666,824,582,911,791,
501,948,776,134,678,022,543,298,294,722,048,394,777,033,294,343,947,951,939,
601,988,550,662,709,148,860,930,923,250,364,965,335,235,859,873,129,278,830,
102,982,492,452,281,007,293,505,713,562,044,672,180,001,670,585,352,832,511,
292,717,824,382,420,831,362,058,054,627,767,821,587,519,233,191,358,742,461,
485,748,714,503,534,132,417,545,761,152,708,072,675,135,928,195,264,042,582,
489,709,178,657,298,605,926,702,525,465,222,292,871,252,844,310,797,353,047,
097,348,511,426,618,444,868,124,781,847,784,793,042,446,799,618,815,878,129,
159,567,003,659,284,863,073,917,161,518,906,997,772,098,375,068,097,295,005,
206,341,388,702,094,547,969,132,863,758,179,230,423,774,371,359,372,946,210,
584,518,695,579,785,540,554,649,142,241,096,244,982,286,456,094,253,632,887,
311,538,803,087,936,910,945,496,289,329,552,586,273,576,745,729,890,124,962,
085,349,890,218,553,196,095,474,537,938,363,627,531,846,927,156,684,221,054,
600,252,938,291,443,025,656,167,906,573,883,591,812,053,724,609,230,028,435,
784,171,789,925,834,306,007,940,575,730,036,645,257,000,734,135,343,135,461,
423,817,093,140,342,524,272,106,951,956,206,749,081,176,904,238,033,859,272,
245,197,289,394,136,411,742,949,472,019,079,182,535,855,583,106,840,054,944,
980,861,237,904,337,576,502,673,681,261,219,691,139,444,735,099,657,742,772,
807,925,842,773,383,320,449,539,241,764,091,522,451,367,369,377,993,665,100,
372,783,509,301,525,993,792,469,330,941,786,525,939,598,034,862,993,765,573,
001,514,467,739,436,325,327,193,629,146,206,209,434,122,930,186,480,467,528,
509,079,743,804,553,614,699,097,230,615,033,718,902,634,739,732,321,499,284,
302,927,101,706,436,657,391,245,678,033,947,144,740,195,265,906,415,031,015,
674,462,679,445,277,169,593,459,472,056,309,288,320,663,021,054,929,230,500,
977,767,247,401,249,958,965,849,614,151,671,842,119,541,878,845,394,186,888,
358,840,310,091,899,221,903,734,709,428,096,729,127,556,113,265,398,967,455,
409,416,398,921,888,962,960,911,324,930,417,774,112,582,844,271,209,853,079,
160,071,168,556,906,870,355,384,813,583,213,505,100,526,079,394,917,656,094,
531,696,912,476,294,179,405,997,759,624,859,702,398,365,303,742,121,615,495,
167,858,939,456,275,186,505,927,215,872,270,782,217,933,183,251,791,653,079,
290,400,963,855,227,128,796,792,184,420,573,418,437,784,502,054,630,782,911,
855,283,484,321,466,362,434,792,882,821,174,125,732,369,291,657,425,545,007,
500,528,318,652,314,511,289,402,566,749,418,205,505,369,208,007,151,283,064,
552,135,337,829,150,098,726,701,225,648,061,728,493,260,257,690,681,474,385,
689,573,703,444,263,819,811,704,495,444,244,142,893,840,954,634,359,144,941,
466,217,627,118,513,373,010,481,006,136,630,151,707,094,461,316,942,358,810,
492,925,537,323,184,538,991,622,751,936,341,973,197,424,542,743,383,907,148,
196,331,046,735,799,277,992,858,405,662,792,690,965,890,286,556,423,615,521,
947,012,621,920,981,798,906,178,387,526,275,187,914,620,291,769,705,055,743,
479,738,093,838,840,920,996,011,565,374,041,875,860,656,505,983,524,973,535,
662,414,617,627,332,649,044,714,146,389,985,727,105,056,382,852,143,145,327,
857,960,821,146,615,309,886,311,956,790,535,294,037,315,031,835,498,431,456,
985,789,823,428,946,307,076,784,937,062,060,408,546,560,021,625,294,961,602,
665,450,034,831,000,584,880,680,430,172,634,749,833,751,934,185,162,721,250,
376,002,189,839,636,660,787,828,108,136,615,071,237,650,378,078,204,550,800,
440,403,741,778,897,255,131,770,717,030,273,888,734,696,606,648,350,887,063,
051,381,460,376,866,780,783,502,200,362,490,833,155,172,201,386,801,049,032,
272,968,842,653,918,834,160,709,448,330,844,456,863,180,280,798,000,349,906,
364,214,885,377,624,435,361,375,257,995,248,163,351,376,279,825,267,623,392,
394,936,399,312,036,647,457,378,830,398,961,954,679,004,074,802,977,959,947,
570,575,259,055,153,596,007,093,505,349,040,849,317,797,880,372,052,168,566,
128,099,919,244,574,709,691,775,559,030,646,042,906,475,393,225,474,672,143,
621,430,275,762,695,547,364,861,873,057,496,091,869,106,050,931,023,090,283,
103,830,619,348,423,130,994,498,875,092,525,432,148,308,657,958,302,521,032,
986,086,931,451,002,798,232,805,163,441,979,466,711,524,313,873,807,318,860,
470,054,694,442,323,580,773,130,297,375,863,423,643,876,157,991,177,211,635,
958,977,310,050,289,145,459,758,888,698,270,804,850,328,904,337,009,427,657,
157,778,474,263,195,034,424,180,742,221,749,598,914,511,422,159,112,569,498,
501,958,422,107,505,336,230,145,393,849,459,601,550,830,916,742,752,161,614,
784,679,723,260,247,926,840,446,633,883,583,879,510,346,685,153,807,519,915,
695,407,621,923,665,375,479,982,007,872,942,170,912,987,517,990,697,599,442,
503,374,242,215,061,902,674,643,314,100,891,063,791,903,548,048,126,035,115,
600,627,128,390,449,526,945,839,532,957,554,529,847,039,096,036,828,321,081,
667,669,619,088,371,521,809,632,175,557,518,049,735,847,677,786,155,627,763,
107,070,795,006,878,452,380,963,763,968,412,645,411,757,283,149,169,571,432,
530,933,491,361,250,083,352,741,643,262,809,140,328,467,041,815,908,998,469,
846,091,101,733,036,665,055,688,918,824,507,490,025,967,089,301,373,469,264,
171,679,475,202,150,885,503,410,445,536,049,069,764,523,502,000,735,283,117,
960,526,447,951,053,230,406,897,367,659,077,207,793,538,225,443,149,514,434,
412,517,781,549,700,474,500,063,712,014,476,474,057,402,906,495,412,931,432,
445,215,398,791,963,945,646,397,504,476,910,722,745,254,518,211,229,773,964,
628,753,903,191,769,771,936,930,592,830,003,145,901,005,546,875,091,203,592,
469,088,418,398,285,847,891,181,079,090,594,854,002,596,157,718,441,191,389,
309,748,018,842,005,155,827,919,494,031,976,202,303,388,802,757,624,093,793,
940,078,590,965,890,398,706,033,257,608,325,064,623,656,238,913,309,755,317,
439,413,374,875,461,476,719,362,542,505,337,151,757,164,079,059,407,518,923,
406,824,945,487,825,057,741,262,666,205,480,349,662,785,167,865,157,687,712,
204,053,650,296,365,851,964,931,539,245,813,289,583,198,545,352,262,655,348,
768,394,706,721,997,615,126,692,292,169,972,584,746,184,318,349,821,941,584,
103,474,187,098,003,054,862,872,270,322,141,675,376,927,662,197,080,464,089,
267,037,946,083,418,922,894,354,975,637,826,753,514,587,067,848,807,720,753,
071,453,876,483,058,097,602,101,548,194,302,561,935,806,275,082,701,679,939,
484,709,120,516,617,491,183,636,738,359,525,795,688,416,549,183,005,171,867,
431,766,991,373,170,603,547,079,324,081,206,162,325,770,358,618,415,236,039,
073,861,521,760,336,867,170,800,306,846,645,146,918,136,258,391,498,777,491,
683,482,978,043,056,224,432,734,782,594,068,825,253,792,025,495,783,775,541,
061,626,487,063,336,312,198,010,345,222,682,305,434,882,740,463,053,913,196,
569,636,453,823,535,679,297,483,822,678,327,531,203,088,029,260,678,243,707,
141,490,451,177,656,879,709,092,154,707,117,487,862,058,744,561,858,584,202,
707,815,956,094,187,631,540,613,665,579,332,812,193,237,384,498,255,596,284,
123,372,539,696,354,304,510,905,734,394,686,230,578,635,938,332,048,917,483,
664,216,558,683,324,153,881,886,583,367,027,826,156,689,360,482,072,532,255,
833,275,232,601,211,089,811,807,504,056,025,114,616,875,561,233,821,864,534,
729,405,511,029,565,410,885,471,471,533,111,727,107,426,556,207,045,163,346,
224,154,367,673,498,316,595,887,795,176,775,511,576,553,940,981,801,601,523,
463,735,880,509,159,439,216,134,268,619,371,925,499,943,640,699,346,121,346,
154,440,449,611,349,852,864,454,393,981,850,338,332,728,101,186,532,842,627,
754,318,423,125,805,301,133,580,049,095,691,362,984,893,884,150,818,365,343,
386,410,898,203,903,116,373,942,625,209,760,394,414,049,574,201,495,709,355,
870,676,235,573,128,249,809,131,597,538,327,856,402,213,993,147,660,702,419,
740,013,559,544,340,114,408,397,289,631,968,828,074,150,502,363,648,121,124,
356,446,711,484,591,007,181,460,538,839,613,729,276,364,406,508,213,100,064,
494,738,190,640,117,653,811,202,970,913,330,650,502,896,278,343,769,387,132,
117,970,321,218,603,564,833,358,777,116,250,054,657,674,340,285,530,030,916,
957,688,333,026,066,414,297,013,454,301,897,457,529,675,806,865,841,156,350,
603,104,147,002,386,460,499,010,912,169,085,131,074,661,843,820,056,214,607,
326,973,053,708,579,404,765,841,002,114,035,243,036,825,816,625,729,726,810,
998,688,829,591,191,879,911,255,763,013,549,631,321,796,099,942,816,828,356,
699,736,896,321,440,505,710,095,564,447,400,538,540,336,297,245,585,897,790,
885,759,688,605,489,665,200,581,347,062,795,597,271,544,929,808,451,577,728,
802,976,601,080,647,434,683,264,620,399,578,882,580,568,120,344,791,020,611,
756,311,917,624,310,506,370,209,761,711,542,037,567,703,415,329,137,618,642,
867,626,951,554,511,517,871,176,532,977,235,154,017,854,402,659,213,672,162,
471,621,806,313,815,950,887,607,844,522,672,478,252,209,234,332,478,458,868,
065,005,497,124,644,150,478,029,920,178,350,520,118,580,816,075,019,624,507,
054,109,378,662,284,620,318,570,823,231,912,399,443,212,590,687,661,723,851,
967,910,155,773,700,588,045,490,324,064,022,285,866,434,351,966,039,472,057,
927,042,973,658,742,838,820,470,470,302,405,991,178,992,362,598,450,921,021,
195,364,079,624,286,753,791,129,457,486,342,679,383,038,654,269,136,383,204,
740,650,616,935,450,555,751,263,239,936,584,717,507,446,196,772,073,505,720,
739,381,840,457,133,003,799,279,743,184,011,498,714,616,539,689,029,978,491,
777,386,245,724,494,102,081,167,539,693,445,525,686,661,808,097,767,739,183,
274,850,544,295,011,744,249,278,130,660,151,370,513,864,089,240,677,549,390,
238,697,062,920,595,638,748,593,474,417,674,602,601,166,608,550,764,140,475,
344,838,137,720,145,643,801,160,021,917,728,947,101,257,688,870,608,654,015,
179,307,345,947,027,328,155,040,712,947,473,176,534,704,230,702,562,668,292,
098,855,515,308,927,899,307,953,880,679,772,430,508,660,625,091,368,509,907,
160,504,072,480,518,711,819,207,357,846,148,800,602,021,364,387,271,514,417,
477,512,359,466,708,231,864,479,200,241,661,821,274,014,104,849,175,774,694,
989,580,499,426,991,878,152,393,664,859,762,050,910,556,902,452,046,145,872,
277,745,659,566,754,691,821,044,965,803,648,585,216,904,242,669,245,660,101,
583,834,667,279,072,983,733,861,618,339,276,255,664,781,091,243,469,496,410,
185,211,773,558,208,929,797,192,473,432,763,247,799,477,954,287,174,048,664,
494,059,523,218,444,183,713,433,337,335,213,875,341,863,853,435,904,822,055,
146,696,558,275,603,701,775,533,895,691,136,313,959,211,117,258,386,767,367,
846,766,808,259,995,122,171,563,441,004,680,160,121,048,768,735,490,919,307,
281,091,888,742,388,320,741,122,711,170,786,790,840,306,132,808,554,646,960,
831,776,038,577,482,032,428,885,107,039,620,057,599,269,538,151,144,275,561,
097,566,895,314,665,668,002,741,899,222,855,721,615,430,223,085,374,993,389,
833,481,632,224,961,408,170,319,720,970,596,701,602,322,527,786,802,913,080,
671,965,702,403,464,302,160,902,661,735,512,367,286,718,290,194,264,894,045,
377,174,645,822,786,261,292,674,233,369,171,464,093,904,319,558,941,043,412,
891,672,994,458,331,321,800,827,578,556,228,005,968,636,426,026,984,307,841,
306,352,652,534,082,851,848,164,321,023,904,674,490,359,400,917,034,227,090,
398,206,228,138,686,986,003,760,759,587,188,493,405,918,473,517,791,759,336,
629,311,335,174,494,656,104,958,185,081,496,780,152,169,407,030,247,269,703,
419,068,994,148,699,278,333,337,779,982,598,639,873,773,034,607,690,143,960,
978,091,010,472,989,400,588,547,958,649,566,651,146,375,651,625,444,576,751,
332,380,769,023,530,024,652,191,410,218,521,493,445,312,837,344,768,036,221,
474,685,944,428,174,542,482,480,005,705,335,170,368,364,639,331,227,044,224,
776,129,751,428,171,449,547,222,286,764,804,903,475,577,653,136,000,915,752,
841,108,876,356,716,759,586,668,753,767,687,772,760,837,363,457,407,590,795,
132,475,738,457,246,885,931,605,520,314,539,512,805,718,309,274,217,772,223,
117,030,538,991,336,290,036,822,103,970,763,178,208,887,311,587,644,737,631,
908,180,439,820,126,195,099,721,140,996,807,785,553,423,767,291,004,884,888,
733,225,416,989,970,836,474,772,442,326,605,885,153,761,869,735,487,735,719,
166,520,609,018,190,292,354,090,729,473,259,708,337,625,053,731,935,257,613,
638,008,982,701,625,060,199,359,095,590,541,791,902,383,777,030,726,682,496,
206,218,134,552,845,711,811,217,358,846,445,654,820,272,319,365,245,990,493,
060,083,542,009,801,493,846,333,281,076,915,669,757,958,372,457,453,753,324,
547,569,674,084,051,529,650,192,424,083,144,819,596,511,305,960,847,599,165,
020,373,049,036,980,483,084,360,433,374,242,497,938,193,688,104,393,631,763,
381,706,014,895,540,987,358,946,834,887,552,335,356,561,247,162,774,203,251,
634,883,558,468,791,058,590,575,967,083,932,302,368,518,222,360,299,369,297,
324,004,295,526,785,310,788,990,904,742,315,041,881,870,531,304,328,266,156,
600,271,412,269,837,796,577,430,189,837,896,339,986,611,517,924,954,455,597,
494,625,590,197,073,447,715,422,910,551,113,613,209,012,206,990,344,194,020,
742,222,757,378,685,677,783,881,096,246,112,416,871,417,549,959,469,888,897,
810,338,988,622,873,751,783,161,025,311,033,158,779,672,373,368,557,012,750,
416,998,308,348,866,001,528,399,423,399,778,263,180,077,503,498,543,238,613,
952,563,417,484,943,426,721,094,590,700,632,393,155,451,958,031,413,795,499,
124,182,384,385,316,302,170,207,656,824,521,148,895,197,032,365,174,846,844,
727,553,774,880,852,021,001,499,647,582,108,440,999,816,726,624,638,643,390,
953,875,495,610,260,013,558,010,430,758,456,843,597,533,521,184,088,902,401,
346,068,157,029,993,722,641,404,663,225,785,756,021,960,487,518,130,576,856,
083,480,391,180,166,330,214,098,057,478,004,778,451,145,571,603,986,859,696,
281,944,906,969,016,754,499,096,442,785,816,888,984,527,328,961,387,774,003,
039,344,238,608,698,576,173,621,691,625,000,967,066,215,136,348,301,945,344,
377,610,273,075,667,872,294,431,768,820,929,628,732,533,108,656,669,304,318,
646,468,475,767,161,645,003,722,497,924,533,072,950,125,546,576,342,113,669,
108,166,508,389,835,933,121,379,480,273,892,286,773,966,226,805,172,417,667,
822,201,109,167,279,366,307,294,189,396,207,590,236,373,526,628,114,867,558,
833,677,833,285,306,251,503,493,921,383,731,499,767,110,361,644,575,354,506,
392,728,766,065,955,732,578,061,198,846,037,626,331,154,016,465,327,250,500,
081,506,170,449,470,013,534,742,167,532,355,957,513,309,676,853,779,952,475,
849,342,133,419,669,043,120,206,747,314,397,401,793,767,386,267,022,851,407,
049,246,136,905,455,557,190,660,553,263,845,847,468,654,770,946,477,073,712,
111,363,194,762,359,743,381,987,282,650,759,210,486,316,497,707,861,627,984,
669,272,089,955,589,990,631,593,479,036,762,243,121,255,579,587,018,700,102,
759,881,914,645,472,984,738,784,134,506,811,146,685,982,356,413,816,481,462,
573,537,910,180,717,436,410,830,564,142,713,539,667,177,501,615,904,154,570,
799,130,515,199,045,715,057,781,085,489,543,383,851,061,430,315,446,647,018,
545,728,421,546,002,621,095,045,402,876,822,696,210,142,890,698,211,197,428,
984,498,114,518,777,700,615,569,526,291,880,654,737,075,985,322,494,559,123,
394,489,205,667,426,258,658,932,264,970,188,023,504,284,290,191,540,153,976,
967,556,609,850,362,215,364,478,839,757,105,613,492,113,445,289,314,777,009,
156,910,501,731,216,970,220,299,415,072,198,155,945,967,639,276,665,330,211,
205,561,534,417,422,297,451,177,332,992,816,910,178,524,852,324,511,139,417,
096,589,435,611,499,936,538,592,091,714,370,795,241,060,345,547,036,160,397,
970,969,026,177,471,377,155,723,851,364,759,128,484,161,030,835,564,605,795,
665,468,696,542,456,562,188,424,863,153,798,129,888,637,612,780,520,488,939,
787,594,970,360,568,962,122,745,203,363,733,619,371,358,296,776,172,439,769,
212,571,824,006,170,258,124,374,497,628,497,192,973,672,587,924,380,436,363,
648,676,461,338,294,560,042,989,726,791,774,847,726,622,587,927,345,845,964,
155,169,672,693,833,798,633,243,920,641,509,606,632,200,330,507,201,402,121,
269,546,472,145,009,540,248,791,937,252,119,932,679,929,683,400,217,531,482,
519,279,467,381,230,738,400,017,107,133,641,129,523,423,231,839,351,699,739,
889,544,712,457,310,849,391,990,954,456,300,836,131,163,346,332,232,788,841,
834,622,541,210,443,766,633,712,865,853,135,459,252,238,588,037,302,756,783,
162,422,407,484,625,225,088,439,505,449,673,958,030,919,026,815,230,979,364,
144,786,961,844,115,780,895,925,671,930,722,325,494,160,132,312,814,277,876,
346,972,459,858,557,106,911,358,468,199,864,095,237,894,228,500,539,972,448,
413,830,352,703,587,107,644,432,703,453,294,947,533,474,450,318,631,168,207,
229,383,256,835,883,371,575,133,920,703,462,299,459,530,342,468,874,936,195,
220,594,400,563,085,329,856,281,976,997,098,202,778,473,004,410,838,720,650,
510,616,598,178,675,283,889,693,221,956,135,802,196,209,718,522,881,317,532,
725,337,350,243,846,268,563,102,248,712,258,121,012,137,930,405,090,534,691,
270,784,907,075,692,800,831,024,344,388,212,428,273,689,197,072,569,311,688,
527,531,130,313,338,917,671,823,196,530,675,157,664,423,979,369,616,099,497,
588,301,782,716,641,977,925,954,465,621,836,815,698,180,534,099,167,113,752,
688,629,985,926,458,443,868,970,150,884,292,558,757,163,535,485,956,818,371,
192,456,495,841,509,466,043,876,749,833,439,567,409,196,939,528,835,785,748,
498,057,844,971,867,812,732,913,104,965,922,261,139,881,290,174,589,981,454,
597,486,471,549,548,303,961,667,113,679,812,390,104,699,533,364,288,661,485,
026,608,774,477,134,758,602,237,411,456,765,776,813,048,710,418,109,282,185,
673,709,485,402,213,844,253,102,060,335,381,042,759,277,903,398,192,401,292,
955,892,724,543,960,253,485,807,202,576,443,188,953,966,151,194,847,240,476,
635,798,927,889,278,507,997,460,820,622,585,904,886,099,647,694,914,782,175,
399,067,628,876,710,254,643,024,307,565,220,621,490,243,457,626,100,595,164,
604,429,804,451,299,739,731,011,804,331,869,654,152,891,035,058,386,154,033,
255,044,760,559,273,699,819,219,466,510,921,833,784,157,119,794,945,602,988,
002,299,677,046,958,611,315,339,271,871,568,423,423,417,473,763,926,805,461,
796,782,875,417,645,561,965,951,273,707,142,949,822,278,985,378,454,126,816,
802,426,259,943,150,568,307,116,223,886,026,018,636,040,262,514,068,686,841,
906,534,093,711,260,219,170,999,731,804,168,279,700,688,078,503,922,654,739,
984,171,273,523,202,000,107,818,350,084,884,695,604,865,481,329,851,013,258,
644,855,191,088,651,076,140,248,066,101,679,682,752,615,929,118,868,422,494,
820,579,838,706,508,493,593,588,675,161,852,524,342,105,533,298,802,353,548,
142,227,160,799,066,680,253,197,934,815,039,849,384,348,734,295,034,344,784,
752,702,071,638,140,681,358,723,637,886,221,565,160,737,386,876,056,582,124,
333,825,300,071,991,570,359,435,220,496,249,046,021,088,487,975,218,883,704,
607,531,448,039,735,028,131,310,760,845,006,312,891,388,764,016,944,017,317,
134,644,949,317,210,509,178,691,893,456,059,641,967,758,788,182,389,631,264,
444,969,808,127,834,186,454,656,108,430,731,516,419,983,145,242,496,540,931,
680,850,508,093,856,244,942,349,336,433,621,424,253,472,201,379,417,578,055,
219,228,163,071,004,721,207,836,646,918,757,524,649,548,167,796,359,844,951,
273,634,174,918,236,532,348,312,715,882,346,595,075,219,152,944,511,984,394,
700,427,972,565,855,240,890,101,900,113,270,710,283,281,736,767,577,151,575,
490,605,807,558,617,270,725,956,959,262,414,450,195,058,178,642,526,321,458,
429,467,941,197,196,730,656,388,568,764,768,358,179,377,147,852,996,268,179,
682,712,633,836,515,396,949,352,477,822,117,806,177,924,103,048,022,860,002,
573,665,686,313,122,519,951,341,786,559,259,413,520,610,270,327,637,260,516,
676,150,339,038,296,571,497,662,264,747,323,057,157,804,808,092,430,584,035,
242,456,596,310,000,722,221,839,691,960,967,646,035,176,052,562,282,477,444,
948,803,676,569,316,658,795,525,898,954,482,916,266,001,707,149,513,087,336,
436,684,726,924,992,012,870,305,508,234,225,214,395,177,332,106,591,431,680,
767,474,360,308,330,347,030,897,852,213,264,238,313,090,642,061,795,523,393,
498,626,449,189,928,097,926,532,473,168,549,259,929,909,602,161,066,835,185,
877,401,264,996,068,419,165,609,164,656,993,277,030,019,782,312,644,858,297,
898,982,170,651,623,351,448,431,438,855,755,768,542,165,410,584,345,135,687,
286,677,801,259,798,943,013,070,317,493,481,518,473,691,572,690,866,303,973,
849,572,037,870,758,329,845,799,584,651,143,993,351,376,170,391,800,102,368,
034,857,311,523,115,844,277,191,865,328,292,826,864,131,735,874,266,828,096,
193,768,074,448,251,512,940,437,973,798,218,985,856,146,129,453,457,316,035,
320,713,093,937,086,795,925,090,201,528,859,089,501,808,144,610,701,884,287,
417,888,905,045,080,502,803,180,799,359,135,057,761,838,522,788,157,816,404,
170,663,165,042,079,944,053,343,626,233,539,670,240,813,524,048,250,935,582,
984,409,913,971,016,594,772,731,199,666,639,243,732,789,312,029,237,961,883,
456,075,374,851,502,045,499,891,993,722,679,112,613,057,749,104,473,604,216,
844,326,292,073,957,780,552,410,417,927,692,316,473,903,311,966,778,719,339,
701,387,829,216,124,668,371,311,500,689,078,426,514,383,185,446,373,804,750,
064,116,685,209,429,945,304,871,501,584,446,765,584,911,449,804,441,212,801,
211,004,589,307,236,815,554,531,225,505,817,610,237,430,504,098,345,362,780,
290,984,066,988,545,564,884,644,411,599,333,024,064,886,465,009,257,277,314,
609,343,446,420,278,473,769,552,591,923,896,715,367,872,373,170,631,900,943,
611,646,699,755,661,949,643,675,795,502,828,965,071,638,041,429,808,170,392,
509,338,810,010,743,107,447,143,444,827,935,002,363,519,756,718,489,303,442,
523,070,425,108,762,465,491,116,763,310,639,344,583,726,015,189,952,625,089,
744,450,085,600,851,542,362,069,521,894,460,295,150,257,408,974,790,061,067,
166,258,619,830,844,813,978,082,277,318,143,169,283,576,082,543,697,635,568,
956,307,764,530,094,746,702,097,762,116,337,129,546,643,744,545,330,882,549,
492,191,803,445,119,275,165,803,667,236,192,031,282,229,435,846,252,722,009,
702,837,050,064,015,099,022,473,489,359,505,490,052,924,325,420,936,142,196,
858,218,195,078,987,737,225,890,270,131,542,244,818,453,370,747,470,976,294,
649,704,249,041,390,774,800,153,745,630,484,802,442,378,590,501,360,639,992,
883,887,026,528,602,322,963,442,140,037,043,787,090,984,327,881,975,550,614,
737,813,227,853,050,438,880,746,113,321,975,625,049,032,130,612,987,619,574,
612,846,159,555,010,035,331,937,626,081,447,805,552,578,174,823,431,507,310,
367,701,139,233,698,651,872,642,675,983,104,215,475,941,219,662,662,492,242,
980,010,743,511,106,307,605,087,149,557,927,658,738,072,865,640,110,106,911,
317,062,984,997,585,974,216,533,439,679,427,267,847,905,319,344,112,812,856,
207,049,410,555,738,158,282,497,106,429,129,430,304,893,793,907,026,112,305,
134,889,721,513,921,959,569,241,015,647,413,932,003,875,679,793,973,594,389,
588,782,585,050,639,429,784,073,338,142,906,079,738,893,848,361,379,155,186,
741,236,893,105,277,695,232,915,609,570,071,326,472,476,322,938,085,476,754,
695,876,589,085,031,885,849,532,108,489,144,142,633,051,550,822,529,744,390,
717,648,151,891,576,408,104,455,009,631,614,831,940,449,432,287,144,948,378,
197,017,066,004,887,163,212,732,665,419,381,918,853,354,225,475,160,596,444,
246,095,769,042,232,122,230,088,622,223,576,690,600,635,336,255,145,485,316,
562,117,427,279,352,871,043,094,252,597,842,594,351,703,898,342,018,979,894,
892,855,247,159,928,998,404,980,168,247,450,653,267,946,429,736,363,112,233,
943,193,047,247,595,864,107,789,333,571,008,252,872,393,885,590,705,161,089,
190,427,577,366,802,750,561,579,407,100,613,598,599,133,119,470,035,719,946,
645,548,492,278,838,705,046,064,847,282,200,441,802,820,333,049,211,703,593,
473,945,795,289,133,608,209,552,199,728,354,171,316,215,888,207,927,549,769,
469,595,154,029,553,194,799,898,208,709,142,900,037,180,072,492,898,771,985,
099,920,077,766,844,161,175,823,130,660,664,297,665,173,870,588,829,892,367,
949,760,519,095,076,263,233,851,464,345,811,768,668,352,838,966,464,339,406,
378,148,185,785,183,097,369,478,677,918,776,423,512,705,035,207,667,983,534,
775,776,127,232,632,299,691,171,234,902,751,713,838,177,690,748,856,743,046,
485,798,095,781,036,357,117,131,220,563,438,034,647,629,989,368,746,006,948,
402,593,646,271,530,011,740,430,560,668,751,219,145,030,303,248,998,587,767,
323,520,461,971,546,665,550,731,591,343,068,942,390,601,513,610,678,803,500,
072,442,946,523,932,671,874,987,360,998,154,449,866,538,246,576,651,441,286,
901,657,979,733,364,289,426,779,774,690,558,571,792,377,181,684,306,851,921,
298,632,318,198,198,171,077,076,652,546,264,541,966,559,445,367,235,061,294,
206,051,964,706,233,685,016,191,130,611,138,468,597,425,345,838,130,353,026,
382,224,950,374,140,474,922,994,556,458,697,704,038,087,190,034,400,983,225,
853,566,818,264,934,212,473,747,573,488,383,599,893,873,351,753,183,837,226,
688,288,895,078,208,872,039,506,064,089,631,328,497,292,785,294,392,418,222,
659,607,017,284,650,511,683,736,454,957,759,879,118,414,355,829,221,783,904,
813,422,780,528,564,139,155,296,945,686,534,382,606,636,589,165,281,789,512,
284,502,728,208,886,172,188,859,497,272,490,278,546,809,626,575,315,517,672,
666,434,732,727,005,892,230,322,223,112,044,061,517,322,522,565,418,430,165,
551,427,812,881,474,422,533,240,591,048,340,532,281,679,828,871,325,594,728,
283,004,909,287,284,738,830,489,717,817,912,766,839,387,588,535,558,607,008,
412,293,172,784,990,057,037,977,095,680,359,801,122,988,903,987,636,413,659,
809,217,477,590,236,539,059,456,418,691,539,269,957,264,002,153,105,546,551,
615,241,397,809,957,158,489,253,880,730,273,386,033,924,308,433,845,758,151,
655,406,732,834,085,764,428,959,833,885,706,201,338,023,160,769,394,924,156,
038,831,377,563,868,599,703,788,425,957,897,327,879,329,546,431,118,990,721,
710,977,987,411,394,703,086,842,247,916,899,453,117,121,110,866,640,105,961,
650,986,850,147,522,933,435,263,691,991,106,198,286,679,674,791,227,902,363,
245,000,086,532,841,549,390,018,958,205,133,905,173,970,753,513,391,189,768,
995,479,140,809,378,428,387,738,802,675,396,199,184,468,286,842,699,620,918,
259,487,662,376,409,770,663,736,844,813,253,914,953,016,404,332,283,636,299,
686,162,139,538,351,720,366,803,563,907,325,271,436,783,169,517,133,014,824,
655,414,226,050,984,412,828,280,610,575,270,941,601,243,465,704,753,243,441,
521,010,478,232,051,315,847,455,911,614,780,060,798,310,573,830,382,977,380,
022,301,562,389,118,983,904,721,005,269,839,845,709,323,725,424,876,563,896,
259,215,080,693,395,694,658,097,602,428,417,397,439,433,374,451,536,488,884,
690,533,689,511,241,031,003,866,843,191,730,969,363,640,370,691,733,851,800,
525,716,397,010,099,405,363,544,521,961,033,984,193,398,497,044,293,804,364,
657,967,172,083,852,003,366,318,510,719,186,574,976,952,911,587,844,668,236,
569,894,405,589,448,519,350,052,282,607,725,293,542,728,191,258,887,538,287,
679,482,812,352,815,263,408,929,126,531,830,730,408,538,349,743,628,603,244,
050,396,145,657,339,888,126,109,867,294,758,000,099,127,638,614,738,271,801,
413,155,462,014,640,386,876,611,809,132,266,015,645,818,513,029,929,997,810,
593,651,383,183,622,137,498,269,066,071,472,939,314,887,640,657,164,562,647,
055,663,288,521,867,820,096,664,273,390,460,140,895,043,938,692,972,816,360,
270,786,812,704,235,278,053,293,030,571,577,607,363,112,663,148,094,978,790,
690,640,292,290,836,833,764,284,046,878,147,722,498,241,468,745,703,661,972,
504,184,915,778,953,106,822,630,461,027,813,629,902,897,824,868,598,167,309,
420,363,112,022,395,619,677,819,799,091,382,937,185,009,555,462,105,197,554,
459,744,665,000,740,471,458,919,409,561,581,589,990,441,051,680,087,446,099,
061,561,482,006,656,576,990,190,292,985,053,115,713,075,036,949,083,304,652,
968,694,162,707,808,296,013,839,377,448,174,266,227,281,666,398,691,865,349,
892,761,143,837,284,514,639,730,290,058,456,798,355,712,722,614,092,857,902,
278,718,510,299,561,763,989,060,074,889,890,926,363,767,085,729,812,709,095,
307,816,367,204,995,126,549,311,674,310,400,327,258,836,341,319,345,209,067,
809,649,823,198,578,213,982,596,796,088,726,415,575,190,300,680,560,984,021,
148,793,861,589,910,955,606,741,524,257,531,656,154,025,712,468,789,817,335,
341,972,190,505,420,560,101,952,704,215,796,617,898,300,265,055,476,523,568,
645,113,181,884,337,730,009,120,342,323,137,713,924,529,063,885,684,868,643,
306,388,131,959,796,744,152,300,164,866,789,549,721,974,426,057,580,293,893,
823,373,035,227,660,433,926,712,352,230,216,231,006,297,377,724,406,380,972,
335,101,774,279,807,155,930,170,294,613,703,429,189,383,091,434,407,047,334,
980,558,035,815,783,618,417,284,719,236,800,949,817,621,348,286,499,568,964,
620,192,238,074,646,521,434,846,649,132,956,540,495,033,539,770,855,280,520,
844,464,865,768,813,578,411,248,809,873,939,421,774,298,053,453,757,303,360,
049,290,434,726,089,630,165,800,086,058,621,055,304,444,110,002,017,982,382,
228,774,485,957,972,115,638,579,371,999,001,219,545,813,254,658,869,960,623,
945,904,101,505,093,833,150,799,756,919,279,919,972,818,423,337,823,449,106,
977,416,646,237,373,592,536,445,453,247,822,903,857,619,326,920,279,748,280,
867,985,714,420,178,610,899,425,166,006,705,346,094,909,196,201,754,184,853,
718,215,153,873,405,897,899,775,508,855,934,096,717,195,642,179,332,031,520,
959,896,704,299,520,945,798,351,048,223,243,775,001,450,623,132,633,439,016,
977,128,399,399,516,398,582,164,082,727,470,565,314,715,387,793,727,716,729,
446,493,606,129,739,373,288,665,523,177,646,780,230,899,987,852,587,548,109,
507,055,787,124,992,496,526,736,830,087,398,752,529,377,034,418,881,992,424,
495,207,411,000,258,497,492,563,136,500,937,945,314,296,450,199,343,575,576,
865,645,873,784,941,125,970,640,810,580,906,314,805,208,904,056,752,397,018,
700,200,459,698,173,246,117,051,017,793,294,477,356,484,462,855,104,065,172,
398,987,932,577,026,211,440,784,604,924,218,004,242,273,296,454,945,061,703,
684,737,280,891,092,501,006,529,028,506,614,856,932,961,345,402,869,543,053,
201,271,596,945,081,718,789,143,181,825,099,086,586,427,645,130,354,854,836,
419,275,130,065,047,117,769,149,841,317,985,436,864,392,013,878,913,153,973,
234,330,609,191,641,702,822,215,851,852,144,065,880,548,626,520,844,782,924,
370,112,775,855,342,279,575,800,865,666,687,400,949,161,074,478,449,235,224,
459,365,758,981,335,739,933,513,169,792,317,616,641,976,131,815,265,135,286,
389,217,989,851,664,669,624,809,220,878,204,691,513,763,662,742,593,996,749,
896,974,606,192,335,742,229,953,728,127,781,385,607,461,470,486,155,517,994,
979,880,362,290,148,082,652,054,138,055,123,459,078,340,502,433,233,603,618,
809,805,768,295,696,211,104,676,511,988,527,366,968,326,484,889,232,902,848,
229,352,181,824,004,502,504,057,249,737,391,963,503,852,256,420,187,401,650,
413,864,640,935,235,602,104,330,014,840,341,805,429,084,131,681,117,103,605,
810,851,126,849,446,992,491,727,260,657,041,508,791,830,530,380,438,047,025,
377,844,742,762,637,467,934,254,309,481,999,466,789,930,415,093,836,810,602,
832,562,264,928,329,173,404,347,748,217,652,508,805,556,767,022,709,234,685,
125,706,390,923,578,618,287,430,959,741,585,045,298,348,140,567,296,990,612,
694,355,635,133,949,508,569,018,903,908,175,785,289,580,422,937,842,606,894,
785,827,247,666,443,504,867,689,234,207,966,077,636,579,357,417,808,465,110,
107,498,015,209,212,761,450,420,866,389,574,046,030,310,928,008,494,156,920,
268,052,847,132,057,803,526,876,179,890,686,294,237,087,892,771,207,178,706,
369,936,974,591,706,572,236,526,247,129,596,015,846,729,451,236,215,345,729,
752,852,510,650,965,374,263,809,209,310,791,032,908,864,774,499,935,244,291,
211,277,420,885,291,156,756,235,491,446,013,449,603,431,258,295,282,969,096,
766,638,642,275,524,853,503,657,554,397,087,463,625,677,041,111,830,520,597,
792,178,885,636,228,915,987,804,756,839,984,509,052,680,416,896,796,884,499,
347,020,681,278,633,191,191,125,451,813,352,514,745,330,325,487,840,779,367,
478,047,688,787,186,463,836,388,883,932,003,511,958,816,706,323,671,098,520,
063,353,096,891,635,823,726,794,864,172,713,815,544,455,950,413,659,709,492,
527,248,082,081,307,946,488,986,786,912,428,861,605,094,158,323,430,904,558,
838,854,022,699,518,747,738,388,643,328,069,278,794,151,881,650,393,181,715,
876,933,192,040,913,271,574,951,314,747,840,824,514,988,415,925,422,727,318,
931,266,656,627,485,758,306,905,909,273,989,052,860,083,251,690,367,736,052,
119,507,990,644,973,838,175,092,169,295,053,676,465,655,793,104,836,864,300,
246,646,848,611,284,684,558,546,637,179,155,178,950,203,893,495,237,666,085,
511,690,972,829,616,563,521,038,425,099,531,419,037,802,742,687,719,780,118,
546,768,479,155,120,835,909,605,974,183,477,948,828,727,390,976,151,460,270,
742,437,094,876,157,640,279,168,428,701,645,150,859,575,336,781,859,548,643,
419,130,203,105,515,957,113,310,869,732,186,570,446,275,255,084,981,742,449,
538,760,638,057,772,363,967,868,001,476,716,618,756,773,428,044,578,228,517,
209,812,859,782,533,179,714,375,613,857,032,827,426,669,849,709,180,304,040,
335,481,921,998,502,446,546,883,872,861,360,371,437,461,100,826,018,888,333,
432,666,161,524,033,853,447,042,002,337,906,794,171,346,441,193,857,167,620,
349,937,174,062,788,923,980,102,731,541,629,971,720,966,733,018,959,196,704,
393,069,116,136,310,633,964,673,106,987,283,630,996,444,219,170,851,897,777,
594,503,471,658,808,492,232,735,976,720,773,922,300,924,917,605,932,486,285,
010,435,114,333,972,931,933,988,936,750,370,448,183,328,924,254,206,856,263,
265,854,696,297,505,789,769,438,149,160,102,146,480,353,693,165,392,351,982,
486,418,849,575,469,715,906,604,306,672,467,641,611,735,210,130,660,394,319,
863,132,160,169,097,259,233,154,437,603,303,015,244,769,878,689,085,386,984,
154,738,872,530,467,224,700,786,678,576,600,295,735,234,604,670,995,408,631,
630,059,931,282,341,577,283,343,534,305,550,294,108,013,029,923,957,134,626,
367,163,651,993,878,752,231,687,845,109,934,315,446,321,388,588,663,985,737,
721,016,981,540,416,274,438,538,770,933,097,796,349,605,279,000,778,424,248,
124,452,242,034,324,087,626,101,111,985,663,963,440,579,102,990,362,322,052,
767,845,741,662,175,472,989,889,385,420,134,394,833,768,214,332,062,355,973,
585,716,152,278,844,826,849,476,342,949,804,848,262,337,454,390,206,399,364,
123,708,036,855,583,882,355,485,789,423,469,401,955,001,708,437,287,754,515,
738,857,170,712,810,162,340,043,650,264,904,760,441,356,521,364,087,440,408,
114,092,584,607,603,306,568,789,116,390,341,930,553,708,027,342,058,832,954,
957,727,582,646,720,109,996,342,041,458,700,977,567,995,218,326,237,202,787,
089,507,481,569,563,939,549,381,092,375,433,610,157,377,552,408,741,082,621,
302,261,351,837,129,023,564,934,230,238,707,038,762,037,458,858,671,433,492,
096,567,175,179,262,647,392,865,320,803,224,415,782,832,415,803,362,591,222,
715,677,742,018,537,790,513,814,307,663,424,379,722,381,226,831,459,194,296,
196,081,012,138,396,250,442,913,568,582,587,535,432,791,144,578,460,152,426,
240,713,889,408,121,848,292,923,882,318,664,106,205,698,990,954,350,881,688,
926,460,340,711,736,534,116,392,581,044,017,982,333,317,245,103,691,839,911,
320,260,400,555,534,605,694,981,806,416,987,353,719,208,947,541,711,340,958,
668,992,957,089,937,928,512,721,190,474,896,450,536,939,102,167,873,187,515,
345,837,390,710,782,144,237,781,663,043,909,160,524,376,114,618,668,421,967,
052,620,029,503,034,230,524,969,012,486,139,718,884,992,784,859,357,839,162,
046,756,400,979,841,278,444,387,384,744,825,613,108,932,491,640,655,801,992,
073,039,029,587,254,488,651,137,164,046,624,488,022,983,107,987,384,291,380,
258,562,461,870,355,065,128,884,812,259,282,658,083,776,400,060,384,354,816,
286,124,112,275,264,464,304,570,519,333,300,171,782,046,719,284,792,786,240,
699,282,922,474,732,448,295,053,917,680,306,875,705,132,232,656,885,636,064,
141,393,439,289,307,197,100,677,884,304,903,121,182,220,307,758,654,658,174,
116,716,740,227,955,807,502,010,563,619,647,971,162,544,042,673,269,213,377,
450,597,660,156,488,211,812,355,404,395,183,815,248,471,518,069,090,713,389,
568,439,899,047,147,239,424,792,582,073,021,134,687,901,519,085,602,082,424,
630,519,168,572,396,700,940,472,704,492,631,626,185,356,246,912,936,432,117,
075,296,700,910,619,442,048,105,120,986,812,327,693,097,285,123,238,189,137,
561,277,679,232,001,961,674,717,371,874,459,008,268,786,422,117,367,713,833,
169,012,443,988,321,599,958,918,364,064,408,319,865,065,611,324,501,223,401,
988,142,402,986,253,896,918,576,547,400,943,710,966,456,654,757,773,629,496,
191,688,455,259,801,562,898,053,514,537,213,169,905,636,691,855,778,509,216,
708,158,203,209,075,186,036,055,763,059,220,561,409,216,897,279,188,381,752,
461,505,090,424,288,237,262,420,977,421,071,289,866,778,722,386,348,109,347,
588,304,616,691,268,778,098,530,068,431,261,257,306,696,837,551,625,704,082,
514,547,970,185,906,938,579,217,503,259,790,278,927,265,091,239,609,167,276,
191,471,481,972,344,013,476,165,552,893,137,820,999,148,588,845,525,983,470,
717,803,569,614,593,396,789,391,619,228,418,772,250,806,042,350,610,307,286,
028,355,602,561,698,609,719,719,214,230,094,579,005,311,195,083,584,935,452,
377,690,318,806,796,001,735,947,356,883,714,612,337,634,062,681,900,568,581,
048,822,908,429,201,486,730,078,492,243,183,414,128,419,847,590,895,910,477,
108,968,820,502,650,387,310,526,066,225,485,323,002,748,844,231,092,162,552,
052,206,891,074,554,317,822,316,566,797,826,562,459,263,741,946,527,753,891,
901,096,241,488,974,295,940,226,860,284,588,937,928,473,864,652,642,360,527,
760,585,838,329,458,962,319,787,300,505,625,425,740,404,209,403,382,400,304,
711,484,863,976,384,170,109,105,900,510,398,143,929,152,496,546,213,783,099,
063,989,754,139,744,316,276,911,733,084,295,814,289,893,486,954,538,660,810,
006,864,559,169,557,899,178,820,604,772,630,905,518,949,110,169,840,545,006,
087,257,709,742,957,756,221,906,467,054,590,349,364,872,521,602,612,723,907,
010,749,300,491,990,878,185,421,842,574,835,650,660,654,360,975,959,727,058,
777,079,499,477,450,103,501,948,931,977,750,243,214,677,795,220,778,530,949,
281,067,406,365,361,792,941,468,854,913,797,741,447,994,802,914,218,157,578,
241,616,376,417,939,748,631,068,866,321,629,043,251,367,663,044,813,213,319,
772,826,430,074,708,919,004,682,164,159,711,934,819,805,814,995,925,179,502,
281,160,667,937,276,500,943,168,738,228,014,265,396,368,586,690,564,841,547,
193,014,853,676,719,812,150,385,308,876,805,270,937,099,721,459,922,875,248,
969,422,514,829,620,849,655,826,058,232,034,316,344,692,122,388,143,722,828,
314,942,243,236,940,716,257,087,956,729,038,480,598,829,161,024,454,033,516,
589,837,061,776,689,016,952,054,652,853,140,389,333,758,746,446,198,932,970,
915,342,707,850,185,462,600,692,504,323,718,789,414,015,996,069,071,320,628,
906,896,503,508,611,779,742,814,225,397,532,941,415,172,231,269,812,184,395,
291,299,988,710,946,949,091,219,068,915,999,507,408,190,977,152,054,047,290,
048,417,960,919,830,252,192,092,561,349,484,260,755,714,303,537,518,697,466,
878,964,804,986,794,079,483,535,375,115,857,322,230,150,478,703,883,537,822,
193,682,303,396,635,616,304,255,388,640,643,047,880,319,023,945,177,907,264,
389,826,614,761,489,812,359,249,926,082,590,118,488,815,837,213,149,168,899,
964,855,985,767,882,237,186,002,309,545,342,149,766,882,850,658,898,303,532,
918,846,784,728,675,635,308,350,403,218,469,153,225,249,055,666,129,239,911,
419,079,197,116,738,619,093,482,934,414,143,046,976,329,129,840,933,060,595,
524,865,976,376,295,741,366,575,348,581,007,212,719,057,163,261,563,942,659,
514,869,158,045,637,283,340,678,641,049,249,452,547,004,133,164,433,534,624,
257,678,993,203,030,809,206,924,277,810,648,996,659,164,937,118,921,778,592,
746,696,358,385,351,226,779,263,723,101,623,113,981,237,122,240,572,021,787,
619,243,414,491,537,748,144,240,190,355,062,048,302,201,341,512,512,751,174,
108,604,091,261,427,155,595,108,380,006,506,428,476,480,102,953,105,072,496,
852,413,992,264,407,610,534,591,056,811,549,301,168,422,573,794,263,384,739,
630,191,482,120,416,298,923,397,312,729,957,508,550,699,461,025,839,109,861,
980,364,869,925,563,562,236,538,485,391,440,370,920,721,119,696,661,197,327,
036,484,762,185,515,974,340,960,282,087,636,409,882,290,413,671,124,803,062,
097,324,691,543,808,044,093,738,985,262,411,826,272,955,107,189,759,818,965,
076,889,762,066,271,352,868,890,197,024,218,368,975,643,003,888,323,581,682,
253,036,402,150,565,276,935,518,194,201,058,094,534,782,822,312,202,086,988,
723,095,017,531,423,980,329,445,619,462,312,784,646,624,191,746,934,325,700,
020,930,271,011,370,353,442,079,373,088,687,748,795,409,198,157,730,074,612,
530,746,972,274,941,521,884,658,169,978,738,589,411,563,521,608,787,097,826,
402,756,716,352,444,152,846,357,528,926,584,161,572,502,029,956,729,146,332,
398,691,364,344,205,076,242,530,030,063,914,833,357,606,222,772,091,842,920,
992,714,974,053,514,153,614,367,589,353,460,099,995,598,892,250,685,574,102,
757,112,971,830,927,585,611,741,056,121,002,175,133,953,351,203,668,122,359,
265,192,557,664,999,314,927,551,019,348,347,193,923,381,073,461,788,554,568,
712,245,619,943,236,013,216,256,463,001,808,085,684,704,718,787,802,608,770,
113,393,273,204,220,056,995,415,189,994,033,116,156,796,516,658,244,637,664,
651,411,502,954,400,257,242,442,232,892,102,543,553,858,899,065,840,176,377,
200,360,376,091,971,040,987,652,944,826,166,317,963,085,577,078,674,283,913,
945,688,119,882,215,553,171,028,231,354,110,055,649,381,900,501,249,764,562,
925,097,272,017,107,051,205,791,753,246,494,719,219,983,758,244,945,367,234,
316,589,116,053,211,244,232,207,882,331,018,645,432,009,617,786,402,659,059,
578,399,546,514,427,943,887,570,968,034,478,537,042,082,425,234,637,850,276,
383,527,589,313,763,271,235,972,848,018,177,602,499,568,170,449,539,443,626,
790,809,772,004,557,038,015,679,124,079,346,537,642,134,981,705,916,909,005,
047,400,669,047,285,712,463,055,373,508,331,647,382,187,240,372,806,281,572,
190,248,194,844,130,331,553,721,044,912,611,400,033,615,681,828,830,826,020,
010,723,361,762,901,343,989,754,267,555,590,834,886,532,865,097,475,194,127,
053,588,199,783,609,755,811,504,106,013,713,460,968,727,236,728,450,226,795,
189,744,976,770,959,292,849,355,903,705,051,137,845,070,073,918,160,659,243,
702,934,791,988,124,630,747,245,697,584,718,267,041,635,809,394,752,407,280,
976,739,363,445,432,095,859,265,454,164,876,604,006,510,188,597,120,269,644,
156,978,756,862,100,008,663,076,522,625,025,769,760,071,409,619,824,738,976,
281,534,675,119,343,597,055,155,828,335,336,546,945,361,307,684,062,938,176,
022,159,437,848,615,296,315,052,307,387,597,221,325,987,289,676,302,514,710,
867,447,433,520,915,315,357,900,054,413,824,422,895,030,759,294,267,541,863,
685,846,615,643,499,308,974,716,178,656,631,693,085,052,801,957,110,768,884,
482,348,505,295,710,815,208,362,834,934,869,433,035,104,771,493,128,990,744,
745,961,057,393,960,508,072,152,996,959,631,288,426,352,748,464,049,526,709,
873,353,246,042,944,950,238,640,505,742,419,712,433,709,629,192,714,224,517,
982,102,442,116,133,827,690,984,350,857,233,013,284,436,573,476,023,479,384,
803,826,069,674,817,665,377,464,990,368,356,588,814,240,301,702,075,628,498,
176,843,391,654,942,451,337,476,184,589,063,287,393,086,859,604,135,189,963,
825,883,244,261,692,996,214,350,116,926,665,085,862,439,416,032,210,528,454,
669,622,761,216,152,058,317,984,967,255,171,906,970,152,230,966,275,490,879,
523,124,678,713,024,938,138,865,703,431,131,832,814,538,810,311,999,571,573,
790,782,950,762,198,989,981,845,175,151,496,965,816,823,311,758,760,189,150,
877,361,921,081,392,772,266,206,533,265,456,945,655,343,689,463,423,937,331,
968,089,459,306,087,612,153,945,928,107,327,183,759,484,817,271,838,761,302,
146,526,296,968,514,655,299,429,814,984,852,046,246,395,319,306,928,958,914,
188,433,563,348,633,368,520,631,906,691,242,781,014,684,255,531,159,138,341,
608,506,707,837,978,080,583,001,603,977,394,198,440,453,918,891,785,070,078,
769,716,367,974,186,526,171,736,544,483,626,859,737,350,686,590,846,548,766,
828,506,681,607,954,603,534,437,843,316,620,088,081,236,693,605,996,320,724,
472,894,560,673,642,667,248,929,170,201,434,033,594,231,294,131,950,793,377,
163,936,152,601,467,790,389,749,284,873,420,365,958,091,749,808,364,695,270,
529,431,529,950,082,908,895,526,888,999,481,858,311,060,303,981,305,201,935,
112,521,675,233,006,713,250,653,137,434,809,683,752,179,183,809,853,375,545,
670,922,579,133,016,460,816,038,788,050,152,037,739,978,580,178,857,998,012,
946,889,258,532,043,731,653,220,778,757,955,916,975,751,096,495,154,216,750,
212,822,414,135,246,853,322,736,826,377,481,539,640,057,175,050,380,749,030,
390,596,238,977,745,047,455,849,777,797,937,419,992,935,892,721,976,191,704,
502,206,897,885,556,360,827,282,524,657,201,099,710,055,109,196,745,198,673,
341,345,223,898,102,697,612,423,941,030,316,476,381,174,764,795,991,957,488,
321,039,560,096,443,948,772,522,632,182,031,879,514,406,931,702,259,268,122,
400,935,781,978,810,412,484,015,975,431,523,864,961,212,716,741,124,429,870,
888,450,923,810,448,736,975,535,482,026,765,932,660,975,506,140,311,892,006,
874,316,706,021,076,739,310,104,133,300,376,347,099,803,662,636,439,593,548,
155,975,962,184,675,599,901,425,770,737,858,323,617,679,352,319,243,136,726,
819,942,030,340,381,134,677,967,603,923,153,132,539,308,880,082,480,796,114,
972,522,220,077,102,547,733,990,088,208,635,787,585,183,737,896,294,316,038,
076,692,696,823,415,083,564,910,454,022,218,125,197,751,904,978,573,369,076,
895,341,373,514,904,299,724,938,139,839,312,940,815,158,483,253,721,101,427,
523,547,870,053,368,696,090,629,617,096,857,440,241,954,336,060,924,629,068,
832,095,110,373,174,704,756,508,731,252,540,104,324,083,449,066,123,299,973,
241,296,047,650,961,547,058,352,984,253,242,498,466,102,950,345,110,256,128,
943,200,508,215,916,952,190,036,314,932,362,608,288,931,818,320,298,445,696,
930,251,896,869,631,823,526,844,811,495,775,175,279,940,369,460,336,090,691,
161,973,550,648,482,632,974,883,698,131,675,753,342,192,883,764,004,822,110,
864,966,172,845,789,680,220,741,166,975,790,531,524,221,410,664,190,795,668,
345,289,749,531,012,433,306,484,966,886,002,330,461,169,116,446,708,959,121,
610,701,442,589,973,988,824,737,283,053,488,378,943,408,605,742,015,336,554,
793,356,831,978,930,656,051,853,280,752,979,609,976,087,174,762,381,620,823,
021,953,881,829,653,567,292,905,405,935,309,677,823,490,492,075,344,515,635,
144,885,021,092,681,486,165,874,642,179,201,781,124,499,271,437,749,839,591,
512,376,951,499,708,604,663,181,387,574,424,674,635,816,013,986,956,399,548,
938,380,366,664,441,095,182,727,194,395,206,055,983,085,692,796,533,098,339,
378,737,155,186,637,371,436,559,728,942,159,263,672,670,541,935,749,813,981,
405,528,810,045,804,581,133,485,251,382,839,503,852,846,486,334,031,284,331,
632,434,717,292,312,795,178,031,558,039,528,109,647,675,593,833,983,754,984,
672,633,472,439,032,118,842,911,538,355,358,224,452,267,372,853,901,821,944,
717,951,958,873,652,582,343,619,949,944,225,976,751,009,409,058,276,193,176,
084,529,781,199,209,896,749,861,138,526,223,698,212,500,210,313,611,306,540,
548,476,092,697,261,363,836,780,194,061,538,500,650,118,462,618,220,932,780,
421,111,706,830,713,577,712,676,398,707,592,491,781,002,000,745,320,842,207,
073,375,130,464,818,744,855,419,692,835,737,987,052,406,196,314,818,374,082,
634,761,336,639,155,047,945,201,064,842,110,759,670,414,296,467,032,451,020,
995,398,716,447,354,445,127,395,689,111,957,340,898,392,606,638,178,365,597,
432,180,260,911,167,853,656,963,646,450,521,192,593,416,197,987,216,157,338,
947,803,697,090,386,274,543,966,444,823,399,253,027,503,089,958,905,321,203,
024,562,661,984,969,521,376,203,451,303,653,417,440,927,058,025,311,260,646,
064,898,811,169,369,055,500,819,837,457,349,091,190,985,075,351,743,844,711,
134,501,805,049,042,941,334,774,678,923,093,018,879,099,049,958,945,273,403,
361,429,725,593,972,009,745,446,152,164,336,308,802,540,734,254,105,002,215,
196,455,201,572,863,688,076,263,324,174,792,664,246,616,532,167,616,258,594,
758,210,744,203,999,551,654,427,016,790,203,230,129,659,972,106,457,442,438,
002,130,602,249,096,080,947,847,174,530,167,678,175,819,139,128,476,995,846,
151,555,608,180,028,816,918,933,776,843,265,595,569,611,608,273,503,962,529,
678,487,990,067,634,796,135,479,834,950,262,039,964,214,620,697,319,496,808,
568,223,503,019,712,027,596,305,084,149,452,111,655,320,816,812,582,265,589,
040,728,339,121,617,757,246,424,326,535,558,554,267,951,564,605,608,961,795,
867,094,184,782,813,211,998,049,415,654,601,846,375,759,115,293,467,035,143,
982,022,537,057,865,654,891,022,806,340,872,328,734,550,741,277,872,430,263,
801,990,687,445,383,909,379,389,787,415,101,322,863,003,325,980,048,559,933,
049,375,257,052,133,414,059,992,218,354,033,919,340,460,589,611,761,416,673,
369,445,512,417,995,459,139,900,833,867,449,476,868,897,083,554,816,212,137,
786,264,579,855,253,427,145,096,248,363,225,852,544,934,161,209,747,477,391,
373,667,536,331,544,541,049,375,051,048,083,784,918,041,241,461,115,155,850,
854,912,335,087,786,447,380,616,170,827,705,048,367,807,636,345,236,617,749,
416,904,853,738,772,167,116,571,170,208,014,939,162,305,337,438,984,265,903,
269,424,142,161,450,493,311,835,144,855,985,930,596,874,562,668,009,683,288,
920,703,991,868,554,729,319,023,284,782,441,609,358,983,582,996,274,710,733,
249,325,392,725,006,805,985,227,541,056,258,866,222,542,886,760,375,381,070,
211,707,699,764,478,806,948,586,648,407,112,657,388,264,311,293,418,500,389,
528,455,824,502,898,081,763,029,506,979,957,294,235,778,932,469,485,966,857,
381,976,796,690,008,760,578,733,590,731,550,077,635,305,941,795,354,924,583,
394,430,100,308,844,324,384,306,652,475,116,938,549,592,746,759,427,693,384,
907,539,434,568,746,863,140,254,595,114,483,445,866,777,495,942,652,470,250,
809,040,559,891,989,176,945,276,120,307,304,227,393,612,757,684,184,689,741,
694,491,316,609,238,797,417,742,301,968,168,316,500,883,037,304,698,477,893,
345,205,583,548,621,610,368,889,352,654,907,610,995,203,162,947,224,038,666,
071,562,878,356,762,858,315,344,573,024,603,394,402,817,692,540,849,804,888,
044,080,282,245,356,503,896,921,731,108,495,359,903,403,782,569,799,535,564,
959,571,122,615,221,199,939,247,366,614,344,052,817,737,868,937,515,645,181,
623,953,563,463,066,053,470,229,047,073,110,980,096,368,042,210,639,736,537,
281,340,080,057,189,491,716,133,045,820,552,858,154,507,977,450,737,789,633,
624,421,033,616,629,443,325,859,414,686,707,566,070,268,545,345,673,730,968,
371,304,393,064,926,206,697,202,323,403,455,224,036,027,821,143,496,030,627,
572,247,831,461,772,772,754,686,527,147,280,360,232,405,318,197,143,170,880,
685,505,505,969,959,834,618,415,050,801,505,632,255,596,298,259,224,888,188,
180,133,501,190,830,441,947,180,528,884,533,630,264,309,917,162,863,310,821,
846,671,350,477,391,547,201,539,195,705,740,763,172,019,425,991,783,799,950,
733,538,669,137,725,955,469,618,712,815,381,965,041,749,433,434,334,397,444,
248,092,104,271,024,079,566,883,506,155,222,567,176,061,739,415,983,546,477,
662,311,615,782,916,946,696,362,621,580,865,730,804,341,290,299,359,243,298,
316,683,158,251,486,357,960,705,417,191,738,758,375,382,446,776,785,061,335,
088,376,145,159,769,311,448,323,864,338,177,021,150,564,990,261,581,710,302,
502,610,082,943,797,801,019,235,082,767,696,029,187,793,688,718,467,484,002,
562,386,541,494,135,568,481,546,667,967,164,149,310,177,014,355,099,472,061,
909,567,881,177,940,010,173,947,330,881,443,910,716,552,991,658,993,898,794,
735,000,392,975,776,540,049,410,163,617,730,977,553,886,647,536,569,655,452,
793,283,219,705,686,473,361,679,485,544,184,160,391,211,130,520,495,627,575,
153,271,680,684,884,231,018,441,906,384,937,147,341,623,170,020,660,911,614,
715,033,777,639,062,647,034,691,677,970,314,615,072,960,733,374,104,722,347,
831,991,100,552,141,393,228,174,396,044,117,454,087,277,919,143,604,157,067,
117,647,138,432,672,717,197,839,423,199,605,266,186,886,248,099,554,441,174,
112,832,808,879,873,011,258,201,241,593,828,307,210,205,419,467,707,351,745,
051,795,131,614,727,265,674,903,186,868,461,241,182,912,162,072,128,143,290,
922,643,763,539,137,215,511,552,337,072,438,569,327,907,150,338,880,473,940,
062,236,224,658,943,017,822,255,047,570,734,592,117,433,677,964,790,598,055,
509,522,817,060,405,124,950,711,314,016,282,929,512,384,682,212,752,468,475,
019,709,810,625,223,418,708,130,048,315,225,216,827,790,771,555,883,644,142,
913,921,013,240,178,658,508,929,343,750,899,226,856,822,048,651,939,653,816,
060,807,091,317,540,582,346,197,025,807,631,342,531,921,741,385,105,042,405,
324,536,310,474,518,858,382,207,440,622,121,029,966,785,251,764,460,654,076,
486,903,889,721,833,785,524,545,884,831,428,916,919,434,919,655,414,788,738,
180,456,757,406,745,533,553,333,280,796,547,280,511,291,101,595,493,019,802,
898,222,989,518,283,196,619,684,344,940,532,778,640,967,539,706,442,591,601,
066,954,272,874,789,614,553,331,744,295,246,448,011,807,039,686,439,144,005,
706,673,121,537,546,762,283,757,719,890,560,326,837,530,948,978,168,801,757,
995,954,900,693,644,226,607,348,837,686,863,461,681,879,076,695,078,298,078,
997,251,233,149,235,362,815,300,004,215,967,532,084,963,209,791,652,348,540,
856,925,714,165,285,033,848,550,172,225,297,941,465,920,400,937,895,672,551,
555,731,934,396,998,215,831,558,656,647,911,403,992,713,608,088,904,578,570,
763,862,665,755,133,519,046,507,850,946,075,716,640,811,244,514,828,893,432,
942,881,034,335,499,607,004,757,670,425,817,213,414,889,944,518,947,440,573,
842,038,690,252,852,248,136,901,091,005,671,415,875,546,756,283,219,369,083,
542,180,303,256,477,780,119,635,402,171,483,956,123,209,474,863,173,160,981,
746,313,938,184,014,104,449,380,873,777,655,242,965,245,597,430,987,431,132,
038,261,470,005,209,335,517,144,658,277,860,207,303,571,712,606,076,963,860,
634,667,106,675,213,955,546,564,962,412,029,614,998,531,989,246,345,844,327,
172,189,178,985,886,794,793,635,027,111,176,155,612,394,490,372,997,958,008,
097,121,850,907,949,621,232,510,945,511,330,039,304,108,456,080,442,745,767,
118,850,339,146,368,945,976,770,420,504,008,737,636,177,371,095,257,581,925,
941,124,208,676,915,428,974,295,329,803,256,680,936,349,861,125,570,468,781,
237,163,423,719,529,402,707,618,526,532,838,828,667,098,149,983,296,871,670,
117,910,753,210,636,483,716,279,787,573,493,660,123,423,543,490,905,012,392,
137,890,734,233,201,710,874,047,685,438,038,645,928,593,763,231,929,288,348,
276,545,581,646,438,823,403,790,873,502,110,473,682,821,334,318,676,771,966,
314,772,115,447,226,089,486,889,537,644,673,233,462,813,576,153,679,716,228,
317,589,593,286,727,816,620,941,421,275,351,006,685,499,336,696,556,972,996,
488,934,977,362,706,209,739,197,968,201,903,630,304,884,132,754,108,926,418,
213,307,142,916,495,727,516,407,449,314,853,451,834,329,922,742,679,064,664,
117,364,412,303,438,511,859,890,984,610,429,285,420,967,249,129,884,068,329,
465,607,039,796,815,252,870,834,904,648,338,778,587,286,356,217,682,275,911,
716,153,413,266,977,748,213,957,122,946,849,437,500,519,073,269,257,999,382,
498,654,557,050,958,139,861,094,932,486,679,328,623,012,164,403,294,423,559,
707,395,031,853,682,393,946,565,722,848,951,320,342,747,003,839,438,891,455,
265,372,674,068,417,958,268,449,691,829,549,002,266,364,674,467,716,569,322,
349,024,162,001,700,031,373,502,952,869,435,285,444,731,274,097,715,523,448,
459,018,918,442,242,718,488,638,714,667,204,491,012,457,858,456,091,745,964,
248,085,144,635,010,429,009,126,229,091,168,090,278,983,019,517,097,503,166,
942,037,446,367,703,516,545,249,770,002,356,294,343,691,850,666,898,914,224,
599,512,396,038,038,911,649,944,114,711,618,538,049,022,234,404,693,504,866,
130,085,338,970,627,988,583,675,802,591,894,661,997,852,424,591,238,654,483,
371,691,417,401,981,485,168,567,806,238,177,774,965,447,366,655,563,179,011,
472,533,602,687,484,124,996,599,269,515,795,144,822,346,629,840,644,177,075,
465,292,189,317,065,797,022,220,571,548,201,417,710,086,284,107,281,176,295,
901,330,762,198,225,281,222,525,359,406,333,454,958,274,655,886,107,794,137,
550,622,621,422,497,390,688,046,627,654,642,619,184,517,995,926,290,088,294,
366,379,493,567,800,618,074,160,155,711,910,710,140,594,622,621,239,173,663,
604,126,483,710,813,556,147,863,155,816,694,891,707,293,143,883,192,656,140,
064,426,056,670,982,728,033,536,037,989,278,213,927,374,828,401,935,620,640,
417,095,513,673,500,756,542,268,846,293,316,659,088,709,688,155,645,158,680,
070,201,950,718,815,292,203,417,488,850,479,596,123,199,038,269,017,067,321,
931,113,105,317,953,750,188,522,974,057,582,223,731,487,664,242,372,333,319,
985,853,189,133,076,855,596,245,897,577,521,756,124,497,512,810,944,440,331,
477,382,536,597,371,745,831,087,296,258,902,534,060,997,430,685,424,005,525,
224,888,543,042,277,911,595,237,852,202,312,176,806,858,014,760,369,912,098,
279,020,739,837,998,353,617,828,999,448,594,156,181,257,781,666,103,675,394,
732,543,286,005,869,316,503,018,119,792,010,253,580,696,721,475,600,362,173,
519,343,254,307,956,736,299,525,967,738,323,622,695,132,837,687,730,457,817,
441,879,220,521,113,384,771,149,109,555,163,594,282,153,359,929,030,881,434,
127,652,532,576,152,398,150,851,618,678,618,881,545,070,208,342,405,952,633,
045,651,990,724,085,008,824,036,275,886,477,681,184,309,086,307,748,483,664,
484,694,368,343,778,815,893,405,976,822,990,853,078,124,797,591,218,523,654,
698,270,023,370,515,827,345,660,042,510,963,231,462,935,966,518,392,587,581,
951,855,391,571,930,279,706,551,071,534,925,724,493,992,133,692,746,258,093,
424,971,212,213,429,162,161,406,781,171,038,215,043,358,570,001,488,683,363,
452,428,327,445,483,616,668,185,116,424,697,664,498,825,192,692,270,101,959,
178,285,997,988,530,614,977,013,524,916,637,855,705,995,536,845,755,698,025,
803,106,912,813,394,868,903,381,618,890,804,429,717,305,702,982,767,350,903,
668,976,490,076,877,647,397,853,169,051,346,414,453,762,445,723,806,493,479,
010,476,501,094,929,669,025,193,978,034,572,465,635,328,486,308,134,120,844,
115,587,828,715,356,543,361,229,950,523,255,578,696,354,845,072,873,341,682,
180,339,695,324,448,890,217,312,677,738,121,089,631,384,920,876,807,048,500,
975,594,680,472,966,559,518,154,005,869,791,155,863,476,413,943,377,312,000,
737,839,704,653,624,975,918,002,451,354,572,825,380,422,463,793,806,039,404,
181,009,835,088,011,029,753,706,524,364,479,974,521,139,774,217,642,875,243,
739,955,311,427,723,824,653,151,195,814,215,554,608,890,060,020,407,822,282,
053,282,310,008,464,642,956,519,586,225,112,949,935,571,810,587,061,438,774,
026,304,832,116,882,863,264,647,881,798,535,558,302,123,428,186,941,401,670,
986,812,334,105,053,363,340,238,634,400,052,276,402,872,532,953,315,061,316,
342,095,214,993,920,657,001,011,079,189,901,017,782,758,284,024,331,715,679,
893,210,224,578,164,042,763,244,898,574,087,262,743,099,740,894,183,733,115,
169,009,622,981,744,855,097,275,749,300,227,928,094,391,255,855,152,403,106,
306,546,325,477,798,559,899,742,746,243,150,393,072,031,583,140,940,316,558,
111,989,448,817,752,049,887,213,776,438,193,880,482,310,400,383,529,765,015,
935,642,041,226,895,238,604,218,078,756,299,137,055,732,898,723,184,869,752,
280,379,533,729,626,674,816,598,804,394,955,023,918,295,541,142,206,007,555,
609,169,684,011,683,167,622,929,995,779,269,502,957,522,706,425,098,965,052,
434,600,900,182,432,625,923,399,085,780,475,483,246,896,379,332,123,030,199,
507,119,534,280,636,677,482,332,599,505,802,379,194,451,293,170,058,500,171,
519,275,003,457,426,274,152,261,844,503,378,997,358,432,215,950,551,378,296,
047,795,379,375,419,229,602,420,701,255,867,378,552,573,995,496,029,019,656,
730,569,407,139,785,420,016,409,177,320,751,287,298,405,418,725,024,387,935,
379,560,109,004,131,844,652,895,601,354,974,912,546,000,469,103,703,551,672,
124,942,589,371,862,924,334,684,078,536,309,907,732,926,946,879,425,277,468,
978,573,618,340,559,867,943,890,207,104,188,616,528,648,336,501,380,306,352,
108,853,953,620,241,551,784,326,454,605,214,471,462,614,629,696,697,001,930,
964,626,017,476,673,673,872,665,673,088,777,380,746,817,263,735,019,092,692,
103,267,738,777,504,593,865,807,933,104,387,371,640,340,100,438,630,177,983,
914,251,549,333,181,888,766,037,896,847,574,252,479,126,464,781,877,506,496,
104,650,373,505,244,410,874,199,340,414,471,577,521,835,952,398,059,163,909,
277,100,190,387,281,509,519,732,912,031,022,267,497,428,021,609,572,529,737,
757,776,289,572,652,756,358,760,967,972,081,977,064,315,850,221,049,787,555,
060,887,461,862,958,897,405,540,723,753,825,865,240,467,205,761,485,431,048,
675,115,667,219,526,020,094,516,656,090,234,691,731,728,988,358,989,608,254,
973,675,310,056,887,769,805,930,342,517,915,159,334,554,407,863,249,790,460,
776,231,435,598,135,515,449,939,532,494,471,892,635,428,826,285,980,361,075,
893,015,262,465,337,287,927,507,803,658,711,821,125,791,347,816,313,528,862,
501,632,445,976,284,925,543,349,563,929,964,214,324,014,663,693,746,899,874,
970,890,601,491,065,271,931,914,972,381,384,288,918,267,683,154,522,646,537,
186,216,416,834,519,015,061,252,182,121,346,014,661,807,677,908,075,018,089,
157,783,471,791,860,801,250,132,214,128,922,039,877,464,317,935,129,616,795,
887,484,516,787,498,838,789,407,301,471,431,076,530,439,396,234,652,518,486,
618,547,441,662,254,304,090,971,203,053,242,418,270,169,589,056,207,888,978,
974,802,228,901,003,743,333,418,354,915,656,724,049,965,911,008,306,148,622,
508,518,593,091,785,232,152,361,318,930,006,568,842,337,284,282,483,147,823,
781,804,695,504,774,958,353,593,175,835,868,460,159,478,814,472,119,636,324,
368,132,635,118,987,437,438,556,271,450,086,273,614,743,139,188,993,334,938,
633,910,032,421,723,634,609,503,016,856,635,162,642,993,374,743,459,810,615,
314,962,235,278,079,695,463,536,728,442,342,782,150,364,611,547,808,577,679,
035,051,154,887,755,706,469,650,877,417,495,259,244,553,381,459,116,961,096,
904,416,821,153,062,158,727,137,610,526,981,353,641,595,299,441,014,302,649,
611,650,132,148,025,915,551,392,333,555,382,691,434,286,031,428,167,554,437,
635,896,913,386,629,290,743,962,267,967,047,749,319,663,192,717,190,252,513,
378,163,119,272,013,090,252,306,784,711,707,708,646,647,189,374,581,685,242,
990,196,350,251,259,945,613,356,113,820,228,364,645,483,169,900,261,796,094,
074,940,340,599,668,021,959,244,556,964,060,260,109,538,943,121,793,760,081,
308,729,764,464,782,386,357,296,424,177,338,591,198,533,777,592,385,156,441,
374,617,608,389,315,506,746,057,209,686,176,941,043,813,372,947,540,141,725,
665,326,164,051,739,696,245,680,736,538,835,654,522,301,705,215,391,191,719,
599,391,706,657,925,938,039,284,492,302,035,450,493,599,491,642,223,739,115,
492,237,467,283,847,846,852,939,915,944,708,148,171,621,393,449,671,141,126,
330,873,129,014,100,609,814,885,927,141,160,889,530,282,843,525,648,210,321,
825,487,937,197,650,228,826,855,213,858,086,396,393,548,917,235,571,552,708,
553,114,607,395,114,732,194,291,087,504,810,138,801,379,854,086,724,464,548,
823,759,781,981,373,529,203,593,823,670,183,925,692,378,038,318,362,279,921,
685,785,322,705,808,797,562,058,750,904,972,520,039,458,360,506,056,495,455,
677,966,431,866,005,225,132,499,859,938,520,278,934,349,679,303,835,531,614,
183,832,082,104,137,362,892,886,513,443,040,088,752,751,940,301,485,721,972,
765,853,178,838,145,453,987,926,491,069,785,280,413,157,478,948,336,052,423,
226,819,458,810,467,016,963,411,084,435,667,480,715,294,426,742,070,054,798,
651,956,524,641,603,062,361,020,261,562,588,163,264,338,280,879,207,787,826,
564,590,310,283,971,559,464,343,479,296,256,497,995,651,588,384,015,588,467,
722,401,163,978,207,406,009,314,434,723,983,142,643,964,204,242,797,238,580,
548,611,886,353,057,715,951,888,074,965,884,243,336,261,906,954,571,435,147,
109,004,528,106,906,011,584,604,317,720,078,709,626,073,494,787,428,886,521,
556,198,825,006,207,170,526,322,189,708,987,389,763,839,935,901,871,561,304,
022,227,866,474,553,049,407,363,280,064,403,744,180,679,299,503,742,960,094,
025,953,592,516,143,028,578,058,396,458,069,021,157,338,751,502,445,447,708,
659,379,099,596,074,873,272,397,961,966,791,962,671,935,608,158,538,285,978,
179,888,730,260,004,413,006,127,810,740,069,131,943,130,974,813,772,407,689,
061,177,409,703,538,866,207,586,005,340,460,098,930,959,518,305,509,957,315,
213,417,492,106,573,532,980,469,306,640,970,437,196,614,173,394,142,145,799,
482,633,577,381,313,683,077,046,640,475,156,913,884,125,043,121,127,971,435,
230,954,471,486,900,451,478,149,073,783,308,286,575,726,253,491,551,671,506,
012,523,628,672,708,061,098,230,167,899,912,825,949,684,189,690,540,278,344,
446,049,870,688,154,198,301,370,736,248,361,936,624,210,501,474,047,758,038,
848,670,339,073,756,485,102,455,888,476,950,721,830,737,691,123,150,184,979,
175,062,628,011,984,035,566,460,357,861,044,451,035,045,685,109,462,014,129,
940,026,536,544,425,369,324,441,141,450,787,932,102,318,105,923,809,252,963,
894,507,629,196,410,502,652,122,926,803,405,317,222,191,705,754,138,014,066,
965,512,802,450,732,041,643,545,828,820,593,244,576,668,269,849,001,261,439,
380,518,365,747,311,306,057,064,532,339,542,553,756,107,258,744,954,335,325,
647,595,131,896,505,128,454,341,056,109,968,414,760,567,284,526,787,319,096,
732,293,970,766,752,389,436,510,895,521,342,799,638,137,358,685,687,010,082,
035,007,247,245,653,750,514,567,281,218,752,466,127,696,598,331,390,014,388,
070,386,178,144,001,744,514,926,412,682,121,773,091,384,773,018,963,378,708,
906,558,054,648,226,423,904,448,431,415,010,399,135,652,911,112,096,130,271,
366,142,960,173,209,834,375,271,461,940,903,316,554,142,660,689,606,376,268,
169,228,271,325,637,156,460,854,024,700,430,630,149,211,367,164,102,361,892,
976,650,729,951,594,707,446,375,640,988,767,341,660,967,356,492,408,909,306,
394,131,413,864,503,524,514,641,312,011,331,854,580,518,389,511,195,854,552,
850,719,773,902,291,508,894,178,791,920,768,541,792,850,758,079,597,492,357,
952,816,441,705,471,907,545,479,870,653,486,667,625,088,185,328,022,619,711,
765,396,148,830,647,664,171,756,444,089,990,125,755,705,167,696,330,257,744,
969,668,693,439,149,027,309,181,528,368,653,036,176,654,053,881,980,995,628,
582,736,810,387,989,879,560,222,871,300,928,698,039,395,531,060,240,551,089,
482,454,230,472,743,991,205,704,066,199,170,116,089,482,112,820,240,674,402,
870,429,499,180,525,276,965,438,426,567,901,105,694,846,344,403,823,357,256,
123,507,943,594,896,191,022,433,046,017,137,388,704,062,057,387,389,217,233,
791,391,178,358,974,934,890,885,990,360,182,795,413,802,202,436,828,044,913,
858,722,866,190,510,521,721,296,853,902,895,652,381,640,161,016,798,999,424,
664,569,196,252,664,720,707,723,883,247,376,863,209,533,902,279,206,227,038,
811,962,859,385,022,901,284,708,236,898,423,414,317,771,967,553,010,839,213,
848,316,105,806,195,383,741,293,428,936,601,727,466,916,180,251,292,685,451,
407,857,494,489,992,554,328,998,780,589,832,672,416,477,788,178,375,881,758,
780,638,558,865,128,310,561,494,530,820,304,436,448,577,102,335,848,633,896,
317,661,291,174,836,580,854,573,386,335,331,659,824,967,285,682,176,747,538,
192,040,050,625,596,360,447,600,538,855,046,566,156,903,698,499,466,951,539,
446,618,513,132,407,678,427,265,601,642,115,667,892,891,580,440,315,265,665,
302,209,411,032,293,351,485,401,721,787,669,295,954,349,534,827,746,388,755,
340,835,676,694,292,552,947,159,858,455,579,871,423,594,624,528,005,548,719,
356,819,950,105,347,807,255,115,587,805,738,307,985,033,526,644,727,005,457,
875,684,547,077,088,909,547,431,053,789,390,568,465,419,213,418,377,902,162,
378,939,578,651,875,583,160,765,829,887,719,559,303,937,765,244,254,374,371,
420,891,978,344,369,668,332,504,535,495,054,064,722,337,073,036,147,749,414,
878,830,767,288,696,074,138,153,517,096,971,386,820,694,240,627,311,578,319,
680,428,455,897,479,601,657,600,089,288,900,877,532,877,306,797,821,356,859,
566,156,086,658,225,850,130,086,228,560,569,813,882,840,364,813,406,814,301,
133,577,323,926,218,365,737,903,634,121,085,928,137,520,946,987,929,904,098,
575,855,128,863,210,598,181,109,442,941,847,531,907,895,267,535,526,254,483,
657,610,528,022,656,642,832,655,232,577,023,199,301,791,615,415,974,365,676,
359,879,136,543,452,629,828,118,934,764,663,598,207,595,075,450,256,632,597,
602,134,457,678,082,301,810,603,946,516,591,860,048,052,076,917,870,036,796,
137,883,922,001,518,461,030,196,289,595,197,027,705,972,085,092,274,904,491,
767,984,029,885,841,131,987,277,799,533,111,575,870,764,063,682,424,640,213,
356,932,637,129,672,401,704,551,074,174,237,752,047,823,440,809,541,908,725,
950,337,584,840,155,778,834,415,871,623,858,284,641,749,765,386,577,757,029,
869,868,756,487,685,168,195,865,605,822,260,026,659,486,862,212,540,018,231,
221,934,652,743,698,764,256,002,798,114,734,790,493,398,289,300,930,512,681,
745,465,030,380,404,563,782,400,933,772,582,067,258,060,396,296,195,944,929,
938,235,903,756,172,854,119,740,624,191,569,900,768,990,465,823,261,184,206,
099,220,313,906,336,311,669,033,761,637,603,986,015,543,795,518,271,390,835,
186,719,962,951,774,810,979,349,134,637,193,950,782,902,341,326,704,524,308,
701,660,322,343,315,753,539,368,401,797,987,416,132,751,905,041,695,326,386,
898,545,590,112,445,906,285,724,136,797,491,388,750,745,427,568,570,689,780,
291,439,295,403,677,251,823,228,744,119,613,552,820,571,009,369,157,063,446,
147,371,691,459,502,151,832,842,961,422,370,623,130,448,779,719,972,918,190,
156,279,435,737,407,648,532,271,384,746,133,353,767,696,600,943,426,324,645,
977,804,765,953,966,494,308,517,644,732,280,881,925,142,078,387,394,206,070,
053,314,522,699,303,262,391,561,951,156,977,767,191,399,667,416,591,227,567,
699,074,093,337,893,932,675,833,343,639,461,057,817,989,577,756,566,042,624,
171,086,116,800,980,861,953,943,551,886,581,370,630,960,848,570,912,734,343,
787,861,840,786,158,078,545,862,467,370,623,508,590,535,689,041,848,641,373,
997,895,054,887,610,099,148,441,831,797,143,745,498,392,793,876,796,198,301,
207,686,862,437,991,556,695,734,635,948,810,486,806,586,362,975,028,859,090,
752,859,582,219,359,499,132,312,112,096,485,908,349,780,218,380,815,970,190,
509,581,463,200,012,727,059,478,476,454,994,399,438,299,377,716,491,333,527,
299,499,075,645,475,319,481,418,350,820,577,123,975,796,551,064,019,109,058,
918,244,909,168,483,969,620,211,174,875,285,474,545,300,523,242,517,961,759,
613,349,157,609,226,210,758,582,905,878,641,293,501,031,999,060,334,739,300,
877,356,709,483,845,630,854,161,693,438,910,578,768,441,547,470,885,739,875,
007,323,382,718,858,329,472,500,190,175,804,770,634,341,002,933,177,841,013,
164,403,854,426,295,850,548,254,187,868,307,752,343,298,742,854,530,718,218,
832,049,531,509,343,003,999,184,236,315,150,723,059,381,207,486,445,495,449,
951,587,734,707,076,796,010,431,826,315,144,431,247,868,082,702,117,683,507,
554,599,478,982,376,853,416,795,240,177,239,182,240,652,238,337,515,945,027,
839,233,961,557,791,948,483,307,848,781,058,405,083,522,825,186,733,067,793,
775,467,066,599,750,127,660,812,623,169,284,707,821,850,038,674,350,295,004,
085,213,642,177,937,101,096,993,435,227,857,896,852,342,416,155,191,544,633,
233,949,158,399,081,784,634,844,610,219,322,639,623,970,707,221,077,910,326,
427,900,399,927,956,755,085,627,956,025,073,087,165,916,657,694,361,459,799,
167,500,512,026,869,442,607,473,835,718,670,689,146,299,304,357,636,559,032,
111,477,110,326,899,052,607,230,145,962,748,587,976,077,822,030,483,854,582,
689,473,834,347,916,611,799,747,787,394,144,972,786,831,675,989,737,099,885,
452,400,776,847,226,085,544,117,014,646,996,270,028,876,009,906,663,544,343,
096,896,091,260,612,213,150,236,155,474,775,562,079,791,212,171,338,499,969,
654,376,246,352,789,634,178,565,720,872,430,824,547,599,051,308,873,253,759,
315,773,184,196,860,902,845,671,218,005,547,780,176,403,741,097,112,223,014,
718,676,771,502,877,466,730,910,412,127,816,313,815,259,052,963,674,369,252,
428,932,261,770,284,584,248,688,054,159,777,897,478,056,097,336,168,210,113,
199,603,554,566,622,664,249,919,058,303,828,951,684,594,805,591,835,628,271,
208,929,652,539,998,462,840,698,868,357,256,773,535,687,312,332,076,350,590,
602,686,838,160,994,877,690,422,271,597,784,226,505,172,965,283,429,233,774,
542,497,552,315,068,822,350,875,208,727,676,103,915,074,550,241,870,947,086,
932,951,405,976,156,904,252,799,638,723,409,994,717,037,299,018,384,282,168,
996,250,297,639,919,727,276,179,736,638,482,062,484,745,281,015,333,564,541,
220,111,716,430,490,407,175,577,784,355,162,585,458,105,914,867,500,131,000,
553,183,324,795,318,492,848,162,677,775,154,722,235,838,314,264,299,146,839,
121,923,260,304,457,285,640,786,441,508,341,857,655,568,079,409,178,017,489,
532,097,194,785,982,419,731,933,312,049,333,557,423,839,242,541,954,111,403,
231,492,459,056,545,321,130,634,239,240,273,712,674,458,115,296,544,451,721,
429,222,001,662,327,852,764,996,879,787,517,474,685,251,113,637,517,225,459,
899,734,231,372,918,197,726,066,605,111,779,761,906,690,196,595,035,253,457,
506,547,564,645,867,719,918,432,341,893,884,380,807,754,208,578,811,405,096,
716,312,925,667,823,633,865,695,599,899,426,506,817,745,003,973,599,039,059,
653,592,671,158,414,498,689,363,063,006,733,129,943,154,292,141,279,148,099,
365,370,456,496,187,182,301,110,037,836,916,961,941,754,677,988,185,780,424,
894,527,737,783,022,094,702,948,577,287,140,537,703,288,711,399,826,407,456,
653,281,629,535,566,313,634,291,360,007,622,862,194,380,271,127,348,442,303,
895,388,652,839,494,365,893,314,469,070,810,106,229,781,907,982,768,103,076,
146,707,992,679,200,432,589,416,472,533,888,500,185,264,683,250,321,885,214,
087,609,724,822,832,013,521,569,542,336,258,362,048,658,049,271,608,729,911,
872,215,501,736,142,628,427,887,454,545,813,318,846,603,791,156,637,193,270,
828,497,115,501,168,056,305,189,540,676,008,921,265,272,386,218,374,112,091,
442,970,582,873,361,816,401,513,727,443,651,775,411,993,503,702,679,088,721,
451,590,986,186,300,837,484,321,970,241,916,295,868,955,778,183,683,095,491,
430,481,316,549,163,203,367,583,616,294,918,013,521,463,146,287,889,862,519,
014,127,678,553,382,341,920,124,419,169,864,601,667,140,111,227,570,106,053,
416,042,079,631,451,449,811,843,179,752,966,782,392,165,331,250,574,772,033,
540,489,331,689,947,039,690,537,528,239,357,651,784,735,717,837,608,485,554,
239,293,276,293,698,263,395,127,408,985,631,088,206,310,630,267,667,865,547,
267,652,966,599,413,478,014,637,729,964,168,258,343,422,217,382,615,568,867,
107,621,327,123,521,400,289,191,469,795,133,572,081,180,496,220,001,291,455,
323,785,175,064,817,441,800,388,406,753,993,837,291,753,444,262,673,870,302,
364,280,460,480,099,818,052,578,496,656,577,045,385,985,019,975,844,227,781,
547,082,111,728,685,558,536,917,428,428,368,901,727,140,707,430,680,712,652,
812,831,794,074,896,002,969,171,315,890,829,322,596,087,912,486,200,205,687,
122,818,567,805,964,709,336,289,286,800,362,162,043,633,750,763,938,081,143,
698,346,652,666,672,746,978,711,601,154,550,646,279,572,935,216,977,190,124,
238,135,781,481,048,228,436,035,305,989,205,368,446,607,950,497,007,958,311,
565,722,193,910,414,053,485,475,739,593,235,994,273,531,619,280,758,846,621,
925,603,075,193,617,017,741,229,041,930,156,046,401,693,938,205,484,789,964,
079,737,123,364,573,481,973,136,386,640,003,145,064,918,612,204,001,748,714,
550,171,807,895,356,621,390,796,768,136,449,018,430,441,810,556,567,046,661,
115,602,708,793,532,618,732,795,351,259,030,043,289,823,281,516,959,932,961,
914,905,627,836,901,061,387,960,413,075,448,208,973,260,515,629,043,850,473,
460,711,745,814,556,020,318,338,964,644,178,220,972,317,183,233,454,029,503,
491,911,409,959,240,097,307,405,020,682,153,042,622,242,381,190,873,262,168,
378,126,475,377,769,855,368,693,129,808,094,729,134,423,600,825,552,735,902,
743,966,717,016,510,592,236,212,030,194,554,106,629,825,515,698,630,661,113,
495,867,584,969,407,817,466,554,376,885,589,126,537,933,256,117,302,920,966,
928,139,139,403,338,905,036,864,452,837,459,974,861,072,376,793,708,985,111,
100,611,620,320,011,924,994,756,658,482,247,553,414,089,459,098,498,096,893,
254,543,279,003,128,283,816,938,415,880,860,210,197,294,394,886,917,306,152,
376,150,209,637,014,331,893,883,905,565,046,041,007,138,142,911,301,632,061,
805,402,515,556,378,739,516,949,254,532,485,218,580,352,902,793,100,855,394,
153,646,751,823,491,904,426,831,563,120,934,108,673,162,968,014,399,310,466,
528,927,100,406,739,443,649,276,570,768,373,899,411,010,973,971,649,138,585,
636,292,457,013,017,527,878,342,017,695,480,120,364,389,962,165,594,223,802,
851,289,972,461,972,917,748,063,759,653,175,523,908,290,851,650,641,524,374,
343,541,325,102,492,221,894,451,403,355,479,344,842,365,809,712,285,728,622,
189,241,165,548,835,347,033,383,932,346,916,872,720,855,069,964,318,140,088,
467,180,107,678,916,465,389,967,408,131,046,858,683,589,487,599,644,634,126,
345,576,685,762,191,636,115,514,066,252,237,214,076,051,898,097,135,833,254,
621,264,901,896,641,330,152,612,600,808,154,691,122,767,331,487,406,983,834,
620,606,779,747,020,343,907,133,431,462,047,796,023,536,729,644,817,493,986,
402,864,911,135,824,369,947,498,048,358,568,537,346,453,070,960,846,609,885,
369,497,589,777,353,761,620,869,000,411,631,676,515,659,816,489,527,585,193,
970,825,584,084,852,070,869,236,280,672,898,175,680,450,508,850,714,948,258,
554,889,018,360,641,269,078,164,791,245,691,111,279,883,807,550,550,707,484,
986,048,325,677,510,862,366,280,903,715,603,739,503,443,071,595,102,293,185,
340,649,981,082,119,229,049,363,307,622,803,001,797,635,069,320,891,367,600,
860,819,722,807,345,349,227,764,209,410,588,223,208,701,479,011,526,099,367,
435,271,680,897,909,616,460,026,569,446,838,197,245,358,400,513,800,899,302,
148,225,512,491,209,540,180,940,236,979,899,777,549,334,555,048,502,854,722,
414,372,275,832,506,568,775,215,122,561,357,798,235,952,603,472,988,323,281,
778,497,592,457,447,694,612,105,925,800,692,846,464,278,189,803,114,712,333,
872,704,032,394,574,436,832,679,511,407,416,047,084,127,780,840,569,043,234,
840,830,616,648,446,885,413,640,737,239,842,023,370,010,600,309,744,620,080,
864,395,095,013,935,040,223,292,676,562,964,446,966,594,743,264,908,129,996,
559,521,608,587,845,438,840,161,356,485,182,663,050,805,702,332,074,501,986,
809,316,789,299,157,774,453,730,560,269,198,397,840,206,947,475,315,401,070,
899,799,798,319,112,825,333,503,541,542,145,287,533,723,915,098,098,468,277,
768,072,643,650,751,951,861,457,877,171,688,673,910,863,693,468,758,001,422,
972,042,731,797,409,144,841,254,999,426,437,367,411,410,122,359,817,214,622,
683,607,818,332,504,356,026,529,288,271,794,972,333,083,910,270,863,412,535,
461,029,077,439,765,682,856,714,898,582,893,512,497,017,777,659,855,715,887,
895,851,635,846,706,716,966,487,776,431,744,920,925,619,013,015,177,201,773,
805,152,805,079,665,453,649,546,741,945,391,219,025,889,940,274,576,468,469,
597,180,887,725,269,123,605,208,577,209,212,141,652,790,388,953,812,314,152,
212,623,523,484,100,366,100,796,054,447,117,362,525,732,800,703,081,666,745,
157,300,024,713,920,273,850,833,033,589,178,193,829,733,900,261,154,653,124,
567,098,058,839,712,193,040,971,100,883,303,863,674,291,272,510,104,153,522,
311,051,678,227,304,379,439,143,025,328,320,721,368,055,051,172,690,118,036,
458,942,759,059,425,213,754,415,735,497,574,705,692,807,217,164,766,875,602,
594,813,638,560,178,245,407,944,702,689,879,625,740,323,438,297,726,675,308,
358,994,075,163,475,751,096,906,273,078,670,734,174,409,040,262,276,449,687,
559,454,503,333,518,648,208,382,727,240,398,397,791,077,595,452,463,562,962,
874,512,108,838,499,262,013,517,067,301,682,450,026,502,056,305,673,367,363,
646,491,062,918,327,256,636,026,929,794,657,453,761,527,068,935,709,407,527,
253,658,432,818,224,686,130,122,555,107,211,164,731,511,804,912,410,935,971,
999,606,959,978,348,736,431,399,330,008,950,327,532,789,515,981,640,055,711,
706,604,454,385,857,585,493,690,451,845,966,717,950,163,024,393,661,352,705,
745,186,902,516,837,570,023,410,527,896,426,572,875,473,648,480,895,550,040,
575,057,239,463,940,503,407,520,892,749,999,382,552,729,592,257,239,188,117,
066,281,501,906,441,782,669,666,213,915,114,806,676,632,470,632,923,991,037,
941,667,114,551,337,895,885,770,081,256,762,939,446,499,188,078,818,257,868,
839,842,505,206,400,767,939,274,456,343,377,038,126,831,999,940,403,651,284,
234,282,030,219,652,578,198,757,902,161,720,012,120,779,792,877,850,995,015,
913,916,000,344,557,177,754,680,166,101,290,775,661,994,668,924,982,645,102,
260,675,317,118,821,498,838,237,799,370,272,225,437,239,712,232,417,836,806,
212,369,050,424,796,131,774,053,180,943,688,134,306,419,990,314,011,389,822,
984,657,541,140,530,616,315,929,488,450,120,614,733,548,976,222,032,625,243,
691,062,221,473,560,096,494,778,718,357,201,377,658,831,471,828,273,145,088,
407,450,248,093,503,193,400,691,378,194,861,805,219,437,305,462,866,990,739,
556,731,740,178,511,517,793,852,389,968,298,256,211,104,102,433,767,583,264,
604,305,175,777,368,094,684,385,179,309,288,510,485,942,764,665,468,352,128,
364,362,229,205,420,370,256,073,071,016,246,567,263,049,047,490,459,374,154,
216,856,910,705,382,930,764,498,755,832,471,509,744,647,488,998,724,517,752,
398,686,855,511,378,327,793,936,165,205,117,387,204,829,003,781,450,692,928,
915,585,951,528,457,141,778,569,587,745,269,076,363,454,781,631,099,734,157,
351,494,779,018,048,784,114,891,301,647,886,366,794,390,505,342,594,304,686,
924,132,808,783,805,299,446,331,765,582,158,939,788,520,699,286,323,254,349,
930,920,965,498,270,361,834,835,397,376,200,782,950,315,686,787,198,180,308,
985,376,604,645,262,123,939,340,005,935,248,483,034,628,580,307,967,304,131,
847,339,072,871,626,609,978,848,797,860,617,212,680,856,498,594,030,018,489,
395,091,615,685,605,747,947,325,373,893,875,278,348,594,773,810,539,906,424,
883,976,459,198,130,370,735,921,842,082,353,738,130,636,432,635,226,403,650,
732,128,215,119,976,403,735,184,117,331,824,879,553,707,813,091,088,339,244,
810,670,635,261,008,675,447,410,950,971,868,074,428,652,699,077,583,294,422,
109,022,069,989,000,411,656,923,805,752,133,231,149,350,127,991,820,325,962,
042,755,490,920,267,772,506,139,595,231,615,045,980,084,802,447,358,729,728,
037,796,512,331,447,633,547,910,866,047,622,717,414,496,264,153,298,593,639,
759,684,453,145,922,562,445,501,984,715,522,006,676,254,620,460,802,053,766,
066,306,045,607,009,784,927,407,582,921,791,947,025,878,360,377,151,879,629,
957,426,855,872,026,464,526,921,380,466,672,166,591,597,629,162,374,579,939,
723,525,810,643,577,161,670,712,285,346,257,738,943,622,255,327,159,859,943,
394,431,389,643,346,004,148,571,993,143,278,073,391,862,689,179,616,493,143,
325,272,071,997,169,653,255,226,844,530,596,595,830,371,312,799,020,951,871,
244,316,640,121,140,614,357,538,717,474,679,772,578,595,977,111,774,958,161,
103,079,470,644,161,824,654,364,380,599,131,106,829,807,552,198,896,338,954,
997,937,596,382,898,910,100,987,810,072,536,517,858,225,669,001,193,587,361,
441,707,098,228,067,049,657,614,402,705,491,148,096,764,716,754,261,812,114,
152,127,468,259,825,543,813,546,659,068,962,307,536,261,890,809,834,102,148,
025,436,764,707,253,126,047,971,188,126,080,604,978,205,235,974,663,302,288,
483,372,492,516,632,334,184,304,742,853,658,484,938,899,828,851,132,904,421,
310,217,275,553,787,037,973,645,854,553,498,424,212,035,467,954,430,404,832,
747,941,067,955,735,431,412,930,240,543,605,308,163,319,955,339,701,459,572,
390,697,636,529,624,934,211,202,474,620,148,493,334,460,448,944,421,041,999,
910,120,248,953,900,913,944,206,543,228,664,653,735,520,179,705,897,286,790,
094,600,578,601,017,085,216,205,483,094,044,794,467,642,082,181,146,943,805,
687,086,924,835,217,123,042,362,460,920,959,352,006,606,364,748,745,663,624,
784,227,224,313,821,994,073,711,485,535,650,095,587,980,349,054,297,423,572,
637,530,329,841,025,910,035,531,370,807,819,434,626,899,054,144,438,582,234,
067,680,549,213,962,294,625,915,880,908,722,488,424,742,754,511,362,407,395,
784,405,405,618,790,108,772,929,158,709,984,392,737,745,180,292,674,910,075,
748,482,362,664,742,492,481,783,742,462,489,962,810,221,887,177,426,256,482,
833,629,000,991,151,325,708,211,522,019,353,107,981,463,863,482,928,840,138,
689,749,791,025,568,517,159,561,135,593,830,034,352,407,738,499,907,496,843,
722,168,845,058,628,531,583,535,969,491,200,101,818,522,434,648,165,903,069,
333,014,124,679,597,101,993,933,578,811,921,886,838,084,004,467,977,988,219,
096,655,099,139,505,998,822,599,775,731,151,096,394,331,727,992,531,689,461,
667,202,607,204,063,258,038,484,767,978,496,944,707,084,405,885,155,275,410,
425,357,282,837,162,275,477,832,845,178,626,390,994,859,826,204,258,943,506,
658,134,173,136,446,065,383,602,884,454,126,798,133,110,175,196,410,376,908,
989,931,593,243,770,206,752,233,866,159,908,725,307,256,278,415,049,352,163,
628,061,336,148,342,321,121,657,545,710,726,295,215,524,447,999,027,471,549,
827,766,117,025,718,483,666,678,126,632,244,172,666,026,329,390,708,226,712,
306,558,001,510,995,887,082,072,912,686,826,495,501,206,765,694,869,851,514,
139,591,736,682,972,408,534,109,231,657,873,141,626,410,860,226,798,088,690,
461,439,479,172,603,032,861,638,785,024,220,555,438,172,499,783,545,701,252,
204,397,464,300,942,892,356,188,381,403,751,252,490,252,035,562,193,505,478,
954,980,462,313,095,588,185,090,233,877,663,272,860,626,859,230,968,267,672,
392,014,112,651,742,125,650,665,056,417,238,313,744,932,407,492,018,382,633,
408,959,048,701,567,884,010,575,090,230,465,125,696,349,713,215,712,401,939,
185,137,787,983,506,872,695,502,823,259,044,650,717,313,880,177,775,554,073,
593,478,750,463,361,480,233,640,564,058,840,198,767,195,888,597,806,332,698,
834,113,046,326,747,661,122,700,854,318,059,823,775,464,151,852,473,133,638,
022,194,978,139,182,350,049,832,882,761,876,747,344,350,107,569,453,531,144,
899,794,739,194,809,507,562,364,851,597,366,607,285,768,394,984,763,213,097,
844,387,768,139,164,710,267,542,872,176,050,018,259,191,162,748,878,087,931,
364,502,835,393,091,322,542,349,816,683,272,369,038,807,488,329,015,933,957,
546,000,515,935,602,497,090,778,056,616,895,474,734,207,712,988,585,320,334,
916,592,652,158,899,999,741,073,920,044,407,043,620,374,249,103,534,814,841,
867,208,624,081,030,375,092,412,201,614,717,921,971,834,589,791,538,717,314,
097,660,952,188,553,614,896,917,743,688,120,128,976,719,677,090,313,480,761,
775,447,210,368,981,158,599,823,402,492,559,773,565,344,246,932,452,851,399,
338,923,332,601,081,266,117,801,839,716,172,385,791,308,013,305,151,649,573,
654,212,965,399,916,849,065,898,546,103,403,841,782,428,401,676,515,079,453,
860,117,927,779,507,982,509,852,542,873,063,771,630,602,758,475,516,029,631,
179,205,092,445,792,167,745,839,728,212,083,105,329,446,322,679,300,349,216,
880,645,809,814,275,017,351,086,721,780,981,257,727,464,686,627,072,314,235,
507,886,234,487,501,673,064,222,069,018,116,652,915,849,796,087,751,256,797,
442,227,400,116,448,441,421,718,925,721,858,679,210,876,708,877,627,038,444,
228,263,773,513,764,131,735,073,074,956,500,120,517,897,809,945,199,354,820,
204,838,928,025,258,244,489,901,427,942,959,808,470,305,478,715,765,032,223,
252,785,708,905,901,460,312,580,115,677,243,701,706,044,642,121,000,314,046,
345,434,823,197,886,880,383,417,326,173,093,099,504,175,959,953,086,984,406,
011,317,109,296,188,888,249,309,837,556,565,870,926,661,029,123,083,865,040,
219,360,650,430,645,348,501,624,350,695,386,302,508,038,478,117,905,289,602,
051,368,631,853,953,362,377,901,822,631,179,026,169,495,588,008,166,401,432,
139,729,214,832,717,392,242,607,586,788,884,159,538,770,128,151,841,669,845,
639,335,491,167,215,487,385,760,879,820,817,601,243,214,859,062,225,142,554,
339,965,509,963,496,476,970,087,770,357,244,870,446,708,687,472,098,437,546,
311,165,173,155,433,203,490,076,401,583,788,635,824,768,486,303,615,781,582,
039,024,963,502,807,643,485,893,647,907,153,920,448,846,709,812,994,954,574,
077,258,790,383,351,174,851,782,237,782,052,249,650,503,933,157,909,725,260,
922,349,777,592,308,862,229,892,942,571,182,372,051,681,958,215,742,863,812,
886,261,047,293,832,467,970,109,697,793,309,999,526,938,372,863,738,480,929,
638,347,445,338,642,357,824,936,768,080,221,308,772,932,808,007,306,183,659,
758,165,132,382,728,270,974,262,596,512,347,703,703,521,225,026,646,862,424,
146,109,538,799,545,452,715,838,190,021,358,386,622,397,043,950,888,784,239,
930,879,287,183,813,905,058,096,608,172,576,957,431,704,905,454,153,483,058,
381,853,443,084,894,543,368,372,476,699,474,361,879,652,088,854,310,991,313,
712,784,968,510,420,892,007,350,433,915,326,777,503,190,490,646,879,486,081,
461,125,606,228,818,597,563,132,153,655,052,690,300,118,097,522,268,405,971,
007,774,657,319,886,685,733,472,401,021,179,859,152,913,220,069,976,262,307,
507,182,843,155,106,951,861,468,741,347,303,778,977,292,089,368,296,552,573,
525,842,779,601,754,828,553,429,345,724,291,049,760,749,566,321,547,289,026,
786,450,648,126,524,064,554,122,402,412,438,177,542,564,553,098,243,898,942,
679,297,016,956,973,421,572,612,172,886,868,268,508,459,046,402,433,776,261,
483,968,918,136,319,765,815,870,093,667,075,088,218,557,411,668,829,525,706,
538,674,289,847,575,872,176,457,956,087,162,071,366,052,835,604,082,575,319,
661,123,101,324,918,766,485,791,793,947,984,439,337,530,806,850,221,328,827,
905,201,494,897,687,063,357,157,535,053,720,989,030,926,590,804,773,820,784,
925,487,252,408,150,551,372,616,773,179,584,488,869,026,902,115,386,678,732,
758,570,607,660,530,883,572,085,176,291,824,674,349,792,738,887,680,070,000,
905,100,699,475,255,203,393,876,941,582,162,606,240,630,135,883,440,441,867,
117,719,458,184,087,965,751,278,988,163,339,157,374,497,910,013,502,070,627,
582,829,486,685,372,379,643,465,792,557,690,960,719,298,936,340,129,955,291,
983,515,058,236,112,728,677,124,735,864,469,131,925,078,720,610,724,265,682,
438,499,856,715,284,549,794,651,023,765,032,539,887,492,636,179,535,024,654,
603,399,216,189,889,135,858,533,340,471,549,114,367,947,191,011,468,283,267,
044,048,865,844,158,675,968,040,888,333,918,265,502,890,619,369,693,902,187,
885,694,056,481,594,741,732,887,700,884,011,231,940,039,657,663,330,898,527,
826,081,296,626,617,264,763,179,286,099,750,473,876,084,088,363,411,807,055,
599,915,851,703,109,160,216,649,259,111,968,159,108,557,316,359,416,916,196,
274,727,399,497,775,227,970,523,800,543,878,154,739,121,236,502,519,600,260,
941,216,221,938,707,098,022,546,150,719,358,623,747,479,709,813,666,199,086,
364,852,008,465,534,052,087,241,645,656,453,008,913,351,795,908,569,753,728,
700,871,537,264,724,303,098,733,217,791,585,651,058,912,947,614,884,244,001,
302,827,413,365,983,435,210,649,175,274,285,469,989,159,876,643,164,562,081,
560,951,409,250,189,993,301,516,571,781,037,118,115,149,782,307,734,851,831,
643,921,998,620,190,808,667,495,760,543,358,021,442,858,198,044,137,765,882,
852,032,961,934,078,892,453,815,677,205,606,490,658,029,740,160,493,607,717,
530,180,258,396,271,672,471,855,880,899,061,883,179,478,899,245,314,278,135,
468,108,392,937,951,674,247,482,933,319,072,379,371,715,210,627,813,021,830,
418,410,634,376,251,004,497,076,768,757,016,014,861,728,187,957,992,176,983,
262,501,530,777,128,092,456,416,775,673,776,654,868,073,119,114,018,627,407,
688,379,832,337,014,940,495,465,849,020,292,560,342,044,362,020,031,373,657,
472,315,647,597,403,597,636,911,767,970,413,588,299,579,804,455,251,404,084,
657,054,056,005,177,247,097,844,581,656,711,068,573,692,822,062,472,363,954,
518,927,639,327,370,262,405,690,145,055,123,627,223,561,986,332,016,653,286,
795,396,915,184,038,089,392,856,684,980,931,924,086,116,432,610,857,257,207,
745,421,612,213,585,608,728,708,027,138,427,514,975,762,526,749,602,526,226,
441,661,731,844,515,728,592,311,591,822,814,301,006,826,760,249,611,826,123,
780,472,854,998,444,872,636,900,473,911,727,099,196,390,821,853,680,841,321,
895,683,323,367,523,942,089,839,991,954,107,849,115,748,355,285,407,038,242,
784,226,354,115,286,286,238,383,634,993,727,026,336,247,153,968,777,924,009,
476,431,177,501,178,623,218,269,639,294,691,731,178,057,311,585,125,998,269,
411,403,215,332,732,582,289,643,444,119,386,402,162,424,523,736,947,462,473,
462,180,243,519,438,954,581,843,938,496,426,873,437,846,717,629,430,773,361,
397,517,693,581,875,910,914,945,867,386,056,714,131,528,539,157,224,766,727,
905,839,683,180,423,840,361,605,324,459,375,101,244,790,682,058,929,261,934,
328,170,952,065,052,280,963,077,300,815,415,097,751,268,141,040,863,772,820,
238,328,934,744,874,336,327,358,870,600,088,001,338,200,225,933,851,490,409,
741,670,695,429,588,255,449,361,322,358,744,823,294,539,472,357,541,881,905,
739,243,444,335,053,769,305,392,234,084,654,050,269,848,389,423,822,651,126,
969,495,145,030,536,068,768,931,613,612,296,114,609,250,518,917,072,053,124,
295,178,682,013,753,168,818,492,079,346,964,858,304,509,723,779,285,601,499,
552,146,488,823,513,462,135,490,318,978,636,287,305,583,135,230,705,030,354,
014,637,479,552,236,154,524,253,740,581,631,884,043,613,754,382,398,284,752,
069,583,284,110,012,169,639,872,736,935,144,924,971,558,521,588,754,057,509,
572,351,789,500,861,944,282,476,459,873,492,940,691,640,388,221,495,624,202,
290,126,002,950,798,259,613,718,278,416,785,090,397,651,779,529,975,448,700,
793,211,244,725,317,474,261,970,085,648,391,944,871,095,379,627,817,770,732,
026,419,388,663,896,007,348,385,459,360,468,703,298,708,485,940,967,887,027,
291,247,530,703,377,129,635,511,951,047,817,819,303,880,620,624,972,783,916,
802,965,793,914,768,555,149,047,518,078,877,267,564,447,820,088,712,683,199,
204,598,806,178,043,870,040,103,379,219,884,803,292,430,777,281,321,278,013,
520,765,379,932,226,036,160,435,590,558,010,797,465,416,993,972,084,715,233,
995,279,345,034,222,436,106,465,462,806,757,533,475,267,043,256,488,864,224,
989,302,098,136,914,950,336,535,934,345,738,534,622,401,887,554,353,242,022,
606,852,722,186,454,225,241,310,120,376,108,928,685,270,978,884,705,590,596,
483,941,872,222,516,566,101,189,944,710,630,666,958,302,668,722,244,864,359,
107,513,241,692,448,080,066,164,226,395,610,171,961,445,691,651,036,364,503,
861,223,847,195,722,684,313,164,524,984,671,749,082,764,804,534,373,947,760,
180,829,864,492,526,381,275,831,647,257,589,655,160,823,092,919,821,143,775,
756,974,921,630,839,650,631,518,606,788,561,538,211,960,132,966,803,113,762,
156,915,526,864,375,097,683,400,145,186,103,573,619,416,265,081,790,973,685,
516,307,961,165,466,565,045,772,663,559,613,694,311,948,188,627,953,974,600,
038,100,370,793,072,927,941,224,047,108,937,717,388,233,658,781,584,927,365,
249,392,931,188,718,376,590,110,085,745,818,646,965,494,475,434,961,563,308,
254,249,916,514,158,983,909,825,993,322,137,137,367,921,889,640,548,884,464,
792,587,214,291,010,794,278,444,536,051,097,682,791,804,918,264,332,768,759,
490,206,963,774,769,615,309,575,743,847,963,714,224,237,177,205,365,391,606,
771,142,993,817,154,492,174,954,565,296,842,066,002,076,665,579,897,563,123,
572,538,624,721,712,062,344,608,108,190,356,112,045,639,022,968,583,457,429,
012,135,339,034,256,074,045,535,601,238,131,690,877,297,939,595,524,975,070,
040,051,438,431,990,706,170,866,307,897,766,226,304,018,927,799,333,868,228,
584,703,970,738,220,251,334,206,218,257,428,304,360,761,798,323,198,612,229,
049,628,732,025,033,393,036,599,167,498,748,910,861,769,898,775,738,653,105,
151,784,464,268,555,184,406,433,720,804,140,864,890,567,031,345,237,488,469,
692,628,631,769,049,649,700,262,926,678,677,025,662,009,671,068,353,195,376,
580,504,402,473,478,318,429,392,339,089,478,421,211,875,989,649,971,114,936,
457,764,940,519,555,311,191,550,319,084,530,479,639,771,933,628,648,711,602,
720,554,430,977,039,834,939,627,557,557,239,274,155,650,602,947,267,140,716,
577,056,515,157,229,773,061,057,882,084,494,769,734,579,651,528,704,899,516,
554,484,789,561,856,964,905,272,757,629,286,609,847,778,436,290,651,687,410,
602,099,807,713,487,710,038,348,382,231,374,643,015,609,766,199,981,698,204,
644,047,923,143,714,718,493,691,248,154,322,611,984,916,321,398,227,422,502,
476,989,139,080,866,699,214,599,287,152,760,635,285,325,306,237,605,360,947,
940,271,847,612,718,721,913,504,498,977,559,467,852,630,352,049,055,893,209,
416,784,851,696,539,242,707,323,937,023,666,752,656,781,482,299,180,759,810,
670,157,681,331,609,385,629,049,055,963,403,213,555,850,635,857,479,442,574,
981,772,928,245,738,046,898,609,703,519,693,173,160,922,976,202,339,061,696,
418,391,672,336,733,419,956,416,085,547,404,827,157,478,716,516,209,141,110,
505,983,310,780,190,503,814,085,711,392,518,620,633,122,368,657,955,140,633,
314,193,175,750,802,702,342,827,846,042,817,346,970,239,389,956,064,352,431,
513,861,313,091,062,734,517,298,184,391,395,826,385,218,502,337,403,570,212,
912,902,313,390,147,144,849,994,323,637,873,112,697,984,095,782,617,263,736,
705,764,790,759,023,674,861,537,713,860,666,938,927,750,669,332,675,968,296,
569,830,314,621,428,352,159,846,445,724,243,766,396,385,973,666,573,815,496,
573,420,138,661,234,865,191,677,571,934,298,811,785,073,762,820,975,046,901,
988,815,642,677,033,092,516,975,289,601,471,339,132,505,497,653,807,063,448,
917,320,706,558,642,713,562,002,506,454,257,035,132,470,523,353,395,285,581,
442,439,253,003,100,371,426,703,851,112,338,922,403,937,568,781,288,904,104,
271,504,721,733,964,693,313,990,266,909,166,438,200,852,633,418,001,489,375,
652,684,194,584,914,316,744,740,547,787,331,918,967,611,625,072,592,322,411,
142,337,847,253,928,946,550,949,806,285,500,823,718,886,602,030,018,215,235,
938,860,882,079,932,026,631,535,459,845,813,871,058,886,757,796,377,914,429,
658,925,359,179,752,466,288,314,784,423,777,567,892,962,600,784,124,424,654,
122,441,702,747,547,804,278,875,503,140,344,180,432,106,998,919,822,400,699,
280,541,597,299,819,753,157,631,926,996,228,873,707,140,449,258,220,873,883,
293,614,077,557,938,391,599,456,932,263,347,495,104,917,138,226,694,160,941,
891,151,799,301,296,450,084,383,830,297,899,536,239,546,820,076,514,622,993,
884,796,028,873,238,903,509,102,296,186,922,807,443,557,578,733,570,483,246,
287,903,443,902,974,586,698,434,540,194,275,169,207,370,767,266,722,320,238,
226,458,276,874,131,659,765,097,673,387,178,835,337,196,873,146,409,006,167,
149,724,230,066,941,882,274,630,894,628,450,154,358,464,036,619,432,815,495,
675,116,925,629,647,067,897,508,677,934,924,800,146,314,783,196,089,823,143,
475,675,122,642,248,990,933,242,442,606,356,666,234,010,235,271,524,474,435,
607,005,117,110,341,472,443,587,658,603,683,061,803,406,752,002,470,381,424,
430,088,776,157,644,919,807,255,482,227,611,858,327,019,798,737,722,806,082,
337,432,358,076,373,764,400,389,529,554,344,512,004,444,579,403,537,917,177,
386,938,871,179,199,727,055,342,654,211,473,087,798,455,322,829,827,144,155,
389,464,203,546,091,576,921,188,190,031,531,826,620,218,487,740,431,443,261,
681,966,426,169,933,333,415,321,455,007,910,015,209,895,305,327,898,189,993,
541,688,516,244,340,677,652,285,863,450,971,902,015,692,379,036,029,385,807,
091,101,079,830,785,164,960,052,991,415,562,883,498,854,099,051,824,603,807,
352,987,098,930,908,929,080,151,513,439,095,285,541,076,014,340,479,755,894,
918,319,662,410,774,792,529,325,124,708,291,751,483,726,496,970,156,274,013,
102,401,857,280,150,183,628,170,942,180,695,825,042,928,254,008,837,518,294,
701,814,499,527,456,251,976,233,908,122,985,876,120,036,492,710,846,807,631,
459,225,174,181,723,218,092,373,702,098,620,708,812,621,073,066,633,301,570,
185,028,972,307,995,502,240,025,106,288,978,610,632,241,365,245,609,648,851,
094,549,452,572,871,810,023,775,414,006,435,964,158,903,694,552,011,409,538,
395,378,783,600,298,813,067,560,528,848,798,403,157,197,925,513,608,719,051,
193,498,297,730,646,508,395,198,740,176,823,892,451,009,034,708,206,269,320,
367,243,687,336,550,889,419,229,528,415,117,358,600,213,026,159,445,424,060,
820,702,067,934,019,198,852,291,755,451,156,599,213,218,212,346,397,225,381,
952,230,478,759,816,780,742,249,085,569,034,988,965,891,547,930,170,782,920,
380,709,177,952,611,594,246,982,401,549,070,830,546,789,927,437,324,492,206,
932,670,321,460,339,300,132,151,725,448,556,785,574,887,510,823,262,078,065,
504,465,427,470,670,170,034,512,016,843,665,430,204,352,446,716,026,757,258,
974,147,432,049,289,924,377,735,290,337,584,521,406,529,710,208,298,950,175,
892,065,839,829,339,323,100,780,175,080,736,171,166,920,732,021,467,553,231,
263,162,857,676,397,936,610,119,648,624,218,128,561,719,288,566,378,832,317,
471,867,110,517,526,118,385,617,755,353,541,475,386,109,592,456,001,521,097,
625,473,865,602,933,579,499,895,956,248,876,023,926,418,406,912,074,654,728,
074,463,020,684,816,829,075,156,165,300,820,810,415,182,100,538,315,947,378,
538,438,518,093,290,122,708,496,256,052,493,259,273,129,744,891,228,643,956,
608,201,376,928,497,140,676,715,166,265,858,932,646,691,920,432,817,439,782,
204,233,229,311,176,541,809,582,280,000,238,423,475,583,985,732,745,679,524,
111,460,716,364,682,297,370,495,544,287,890,401,012,359,553,299,730,949,144,
033,051,874,483,955,865,914,016,155,028,061,503,078,584,546,903,041,354,302,
126,312,696,049,117,618,460,287,120,124,930,276,074,099,402,147,829,122,656,
608,192,491,525,020,788,111,763,219,124,119,945,443,963,642,053,069,328,575,
885,553,695,244,259,219,446,609,624,349,458,771,273,498,011,823,432,787,636,
989,877,022,094,175,361,516,583,603,406,551,997,167,289,650,335,693,980,335,
520,262,395,217,959,059,603,796,020,241,610,194,165,124,226,460,372,249,111,
402,648,793,735,235,391,538,598,334,400,935,668,662,272,791,685,472,800,456,
952,328,358,372,559,464,325,207,734,659,050,524,504,591,060,987,837,566,574,
304,192,631,402,972,924,143,908,378,965,215,281,776,539,842,792,107,660,900,
541,748,693,078,087,200,485,474,312,597,595,679,989,556,728,242,091,272,164,
348,135,873,057,070,384,323,954,693,972,907,095,633,985,390,223,684,612,552,
933,441,602,517,964,454,960,248,503,176,383,607,848,450,967,919,696,273,926,
028,709,750,844,143,833,549,354,144,770,056,076,196,344,464,712,234,312,245,
097,908,747,436,741,052,674,959,141,127,481,124,202,234,433,837,776,996,471,
769,269,870,436,915,596,994,840,263,109,515,092,013,162,399,359,932,950,273,
527,447,722,182,085,816,106,527,377,844,564,580,266,640,576,958,835,333,159,
501,995,573,377,765,849,986,815,861,209,579,060,023,836,991,250,068,560,279,
376,966,632,166,083,936,847,125,375,925,670,020,887,972,991,276,076,592,818,
159,260,566,418,526,999,671,789,562,248,916,435,344,762,191,126,066,948,651,
820,441,511,148,878,516,069,785,349,642,727,426,959,614,336,927,292,869,688,
525,917,275,372,151,259,771,354,815,721,975,637,979,024,640,516,815,619,471,
920,811,096,613,660,670,034,136,069,109,748,055,450,135,617,908,174,001,191,
068,239,788,400,625,585,176,140,225,357,293,536,172,045,129,874,861,032,476,
198,512,133,060,096,494,076,014,817,437,635,267,944,424,765,380,561,406,393,
296,708,587,716,631,768,186,526,114,750,305,799,631,363,566,020,180,971,106,
473,618,211,927,939,602,656,786,200,365,842,039,372,814,756,305,798,201,675,
224,584,632,114,738,627,039,046,794,320,636,224,522,888,152,776,703,500,326,
099,761,984,009,380,611,185,792,872,254,845,568,512,695,782,019,379,073,658,
963,562,799,605,443,484,356,092,729,037,865,561,468,356,861,193,169,788,081,
256,195,341,208,051,792,663,892,901,789,247,840,090,221,767,662,916,815,645,
205,013,926,819,245,190,769,228,061,545,208,748,347,738,741,455,766,166,115,
896,934,453,518,487,767,063,008,614,459,668,988,104,484,098,043,452,304,934,
729,894,585,581,819,228,644,916,549,759,956,748,362,163,482,741,935,010,437,
220,186,519,310,708,101,824,143,228,367,499,733,076,237,532,251,631,780,016,
652,242,767,432,728,925,438,293,311,325,550,750,345,463,512,097,625,301,832,
696,133,926,876,856,482,156,610,943,575,031,120,680,021,475,077,501,536,190,
645,692,595,017,177,545,091,290,107,788,961,396,242,770,165,983,903,059,617,
305,175,409,829,040,784,731,425,648,396,464,720,184,024,139,395,505,568,167,
032,510,674,431,358,451,196,600,356,179,945,878,274,820,254,679,320,500,266,
446,927,535,987,110,389,749,888,386,496,364,618,916,534,548,593,120,122,241,
475,188,296,626,523,986,745,949,390,843,683,971,332,599,679,554,238,280,407,
268,434,716,258,320,579,179,132,516,587,008,160,024,792,351,287,515,110,772,
268,235,822,910,794,308,865,169,660,962,561,019,976,629,977,905,898,493,932,
464,327,823,376,839,573,053,205,093,564,013,209,303,431,357,031,763,247,524,
534,452,150,035,682,776,565,234,739,651,864,543,809,465,788,128,262,453,682,
365,880,836,630,148,307,643,797,367,494,868,503,813,705,829,288,170,933,876,
002,284,751,212,016,115,907,517,899,834,425,078,672,636,645,148,897,891,307,
463,362,792,269,398,130,428,417,829,734,921,883,248,543,208,086,927,156,404,
595,710,676,099,023,909,702,896,842,337,980,687,614,308,339,864,537,177,153,
438,904,270,880,719,312,577,427,684,979,895,720,498,214,918,384,256,641,116,
311,960,354,841,250,259,201,656,736,578,584,741,217,214,043,748,835,143,576,
423,989,570,734,718,674,722,423,314,437,403,540,733,398,536,068,976,748,589,
375,282,505,615,787,585,463,591,900,876,603,512,414,641,420,947,898,452,062,
848,176,112,763,571,084,494,671,820,407,129,365,486,176,110,169,121,634,137,
442,040,650,840,623,324,213,808,423,330,684,138,351,694,615,010,708,893,644,
097,603,522,765,258,264,808,184,563,263,202,520,769,598,757,748,817,641,115,
185,158,644,279,069,986,566,591,223,575,284,778,999,994,282,043,662,495,035,
961,864,721,382,297,422,175,626,809,940,151,505,238,568,668,002,724,038,141,
061,022,118,354,623,346,518,376,835,023,201,505,730,958,816,099,422,863,825,
295,610,525,690,098,762,299,228,059,804,038,687,862,629,514,568,856,773,203,
714,407,397,045,720,284,058,524,712,384,366,426,056,689,993,378,398,951,422,
556,669,577,920,432,394,945,191,510,372,183,794,642,788,605,533,487,280,997,
456,502,028,472,086,763,391,465,294,531,656,872,897,743,292,440,034,567,219,
488,070,254,070,866,351,087,567,727,446,287,713,103,258,944,461,407,712,295,
069,547,072,461,475,661,233,561,364,352,922,874,471,177,826,396,806,832,406,
467,620,853,562,137,977,242,522,453,610,081,291,901,928,866,050,642,677,528,
047,161,555,574,626,641,354,212,559,591,033,350,208,743,448,160,710,897,225,
616,497,195,721,774,409,615,835,077,735,456,957,851,775,337,109,016,593,919,
361,481,465,682,914,837,518,221,065,289,593,451,944,664,940,600,383,591,838,
940,828,348,857,751,348,817,478,468,067,321,537,291,484,513,137,466,687,664,
052,790,124,105,690,529,921,547,721,552,392,590,198,489,884,639,715,174,181,
045,362,813,668,925,484,313,700,683,541,292,459,315,523,620,286,442,714,525,
721,464,301,131,921,313,217,072,625,587,934,707,074,784,028,880,027,675,399,
542,629,483,794,974,898,314,894,720,592,442,059,861,730,345,355,872,919,289,
569,196,704,400,864,696,708,574,454,181,600,345,011,053,215,130,880,534,493,
500,886,347,547,940,932,019,963,355,945,752,017,974,913,916,720,921,658,690,
012,798,547,995,213,512,954,739,556,143,439,768,510,636,573,253,806,872,563,
284,288,825,145,439,151,132,417,811,018,811,274,075,971,931,409,014,963,869,
432,629,001,906,239,813,587,858,913,655,135,488,063,599,215,516,715,787,302,
299,133,679,368,585,990,580,707,927,032,941,550,985,251,988,919,707,475,013,
049,515,030,954,013,635,022,368,496,657,967,930,880,190,637,054,715,774,066,
779,665,401,014,342,327,283,387,193,185,622,941,877,426,726,438,963,340,962,
401,391,874,235,163,657,403,016,547,366,209,060,560,197,356,510,512,798,356,
337,916,469,676,051,005,947,585,665,133,787,399,932,499,219,400,610,962,268,
442,239,888,556,006,518,265,341,671,638,590,651,712,162,588,805,359,897,081,
960,764,391,358,316,037,196,246,359,189,569,396,526,424,469,730,264,872,745,
149,386,658,063,477,730,167,059,146,468,696,913,438,386,917,777,228,110,679,
552,470,410,330,391,838,723,138,733,862,235,694,411,451,444,411,310,236,965,
221,036,240,664,417,983,992,460,974,489,692,208,196,833,399,437,838,428,383,
937,961,260,116,839,707,909,649,165,571,291,678,870,994,289,879,521,516,011,
186,164,013,933,346,922,282,087,785,079,294,046,997,132,700,729,063,654,798,
814,505,999,522,605,017,690,963,922,654,899,713,735,562,195,293,495,773,803,
679,183,513,705,206,797,869,684,609,822,152,009,702,496,976,741,327,907,687,
126,485,565,212,631,269,285,743,934,150,505,569,411,931,705,874,333,943,571,
697,587,497,830,340,074,785,961,999,908,647,127,537,010,187,764,527,632,417,
924,858,203,742,171,919,103,471,581,300,548,933,120,724,257,175,149,170,358,
653,929,065,921,870,506,040,889,179,001,560,205,532,788,018,778,027,456,276,
986,086,261,497,665,473,182,760,578,442,393,178,885,907,097,305,970,259,841,
242,666,940,026,644,095,794,110,921,982,111,151,024,585,587,176,683,078,499,
274,228,573,981,478,446,916,035,834,692,800,156,362,023,360,683,949,367,936,
679,341,821,643,885,401,984,466,120,121,406,354,221,310,448,421,695,528,234,
141,396,400,296,088,195,206,668,899,090,738,684,862,375,454,458,359,048,184,
741,888,625,904,845,981,503,066,460,154,876,687,934,657,980,651,034,379,896,
051,787,673,200,664,252,990,412,058,862,078,890,386,818,757,235,948,426,191,
064,345,984,519,187,440,246,473,054,932,345,327,098,687,610,587,797,132,750,
666,288,783,129,896,679,637,108,494,694,852,539,373,780,388,621,331,647,293,
473,203,071,658,989,256,452,141,324,483,540,739,431,056,887,998,895,802,575,
792,597,934,930,005,636,896,735,569,202,922,335,846,107,544,067,322,697,800,
065,912,321,160,980,542,884,384,802,322,003,342,939,455,729,278,156,722,169,
993,041,683,182,397,136,192,110,186,073,077,759,495,114,982,195,806,422,680,
001,687,049,562,184,517,886,343,414,609,808,455,717,923,425,952,843,128,638,
910,743,726,366,853,195,062,546,339,268,215,380,466,406,591,567,917,361,890,
866,347,897,021,370,491,611,918,060,082,224,277,485,743,649,253,252,119,741,
930,827,289,400,157,101,857,421,964,352,715,542,521,237,698,864,781,137,019,
778,421,436,258,153,588,953,244,718,274,954,771,340,814,333,424,750,076,803,
591,547,964,894,910,299,148,676,699,495,887,996,352,705,003,962,209,291,097,
237,046,737,355,163,483,658,765,558,211,701,860,428,796,027,449,856,451,264,
635,466,610,073,370,813,548,356,827,879,842,152,065,095,347,210,897,885,381,
701,896,020,723,740,643,874,588,222,973,838,472,878,208,489,031,124,042,856,
473,300,807,771,507,765,980,904,054,286,336,081,393,371,677,002,231,659,260,
889,493,829,890,324,083,144,580,711,562,817,403,695,550,677,739,760,199,186,
945,565,989,947,107,263,498,806,541,755,062,015,456,760,932,529,870,056,660,
209,274,974,461,291,494,109,212,005,691,409,122,221,712,355,039,133,992,484,
531,054,710,501,437,563,646,919,113,052,751,508,694,003,440,489,949,013,474,
881,405,695,831,224,638,374,759,528,601,141,527,828,430,850,522,065,072,147,
170,834,206,265,665,670,113,359,125,864,284,946,557,565,325,784,981,576,150,
808,462,102,426,931,833,606,039,449,095,482,260,120,986,654,619,694,903,401,
179,947,564,122,528,039,285,145,192,496,477,766,032,576,859,418,556,725,013,
551,858,495,320,564,754,514,989,870,492,241,288,431,738,861,139,542,404,159,
689,367,580,103,718,169,595,834,818,573,648,798,672,223,720,206,602,943,708,
840,746,753,590,215,522,301,409,485,259,839,160,351,666,939,645,919,289,230,
928,148,341,818,667,984,690,667,456,294,633,437,270,052,450,360,981,022,267,
807,029,887,493,698,247,806,408,027,714,494,733,235,256,394,322,688,659,778,
124,520,341,949,576,743,464,358,958,853,963,883,778,374,789,567,647,120,991,
777,168,080,166,633,784,037,517,024,859,504,703,374,606,151,009,458,465,416,
016,468,841,978,989,273,368,462,530,502,432,197,182,778,606,449,529,729,204,
128,543,483,551,349,481,609,236,256,081,690,767,997,187,610,149,564,524,640,
196,425,658,852,911,139,463,427,444,131,917,041,778,901,557,411,594,841,397,
618,766,862,478,910,293,716,200,079,718,610,636,457,322,327,181,388,182,975,
377,898,012,277,948,841,819,772,399,558,185,240,393,604,392,133,506,611,719,
920,327,974,135,921,905,850,473,660,849,583,322,506,260,614,662,856,779,356,
633,075,150,420,665,109,215,262,779,162,960,344,658,807,419,260,298,856,497,
415,541,004,394,821,048,656,861,659,751,232,744,547,199,853,516,707,032,301,
139,389,054,631,426,221,686,439,251,828,505,894,133,907,773,164,934,196,520,
493,926,355,838,659,719,656,724,397,847,152,259,960,266,359,264,302,036,308,
762,644,740,896,923,732,889,812,402,872,415,854,631,760,815,763,988,681,155,
743,086,370,510,178,599,896,385,046,196,591,513,863,379,577,658,302,590,133,
236,132,931,038,850,520,187,208,796,127,013,766,191,544,085,617,379,236,160,
830,643,561,605,433,646,446,454,374,562,580,888,478,600,290,020,274,544,611,
855,384,612,294,069,393,620,484,576,653,944,421,703,640,877,134,904,451,566,
753,995,455,422,477,198,983,374,827,676,969,161,420,442,426,129,007,026,080,
681,594,577,778,684,682,289,644,740,122,451,848,306,232,484,133,752,731,719,
494,170,110,537,393,099,934,556,622,772,574,763,799,796,099,735,655,116,635,
310,000,494,347,792,721,907,223,638,870,456,763,930,338,812,624,773,557,796,
581,996,272,966,801,156,071,489,323,458,761,123,435,892,668,656,872,951,246,
495,358,154,405,355,770,513,871,975,691,579,285,441,895,705,833,879,938,592,
978,883,470,643,700,967,069,175,089,895,502,753,977,410,053,930,459,458,689,
834,632,066,968,617,265,599,522,692,419,808,457,504,003,445,094,775,465,549,
048,177,226,583,156,783,586,139,731,909,395,997,712,389,055,837,299,101,030,
628,877,369,287,368,467,719,750,899,483,096,788,468,138,062,513,838,049,992,
558,319,359,963,551,530,441,924,852,479,593,564,518,222,230,391,655,652,306,
336,221,720,737,484,933,171,689,783,443,048,110,864,142,012,589,168,388,872,
651,196,155,960,398,512,900,553,306,020,446,625,047,959,686,090,712,330,491,
471,600,617,024,331,467,302,826,379,237,420,574,301,972,162,624,507,143,260,
082,717,735,512,055,211,954,620,702,651,541,095,515,909,190,561,000,403,915,
492,617,880,658,685,440,065,618,800,091,989,866,819,409,479,953,079,856,671,
114,827,894,093,666,032,751,728,082,643,263,199,693,825,258,891,918,545,742,
127,201,693,286,621,978,873,457,673,495,549,527,366,046,612,959,232,970,682,
509,767,818,193,385,532,863,200,323,964,491,322,793,825,357,141,346,964,363,
848,923,793,469,948,933,776,839,359,634,706,225,671,879,296,785,718,485,957,
100,700,995,383,377,193,734,716,194,868,551,741,151,469,294,456,112,651,287,
404,299,791,164,434,257,787,245,137,557,772,848,678,879,999,785,044,196,018,
338,948,506,748,463,315,308,685,542,431,416,111,247,530,834,609,812,900,964,
414,204,007,858,946,500,926,167,369,144,130,593,996,616,226,837,079,547,701,
182,947,085,377,035,774,802,452,909,694,049,470,314,895,379,584,023,348,133,
384,332,046,600,589,372,233,720,538,743,364,876,815,544,139,808,906,168,414,
812,644,691,794,310,590,322,759,055,625,281,845,736,614,619,899,665,352,085,
920,516,066,609,873,345,977,732,615,178,988,318,858,584,748,597,564,205,918,
954,453,838,685,927,863,129,706,624,064,476,988,917,505,183,051,578,471,102,
639,835,252,069,410,809,162,466,545,132,949,245,441,365,289,410,281,122,313,
649,517,394,114,478,286,336,868,807,466,450,361,403,415,125,140,619,058,303,
426,612,938,864,970,044,477,893,159,382,967,452,012,538,835,002,289,596,436,
758,328,899,836,915,068,471,159,374,677,462,092,875,979,905,235,115,070,539,
319,932,330,320,847,790,956,985,394,314,444,501,689,406,891,490,034,328,550,
352,657,431,269,345,578,476,689,831,465,051,374,955,748,722,292,303,286,272,
932,362,917,196,050,206,190,529,540,528,065,570,783,142,122,205,105,567,422,
608,100,949,686,913,444,389,763,085,156,007,195,383,870,282,370,301,768,895,
252,623,834,410,279,484,842,723,861,537,752,970,056,797,998,199,771,766,486,
883,867,879,552,530,628,494,972,870,201,058,032,224,574,357,112,988,135,312,
063,737,062,082,473,293,925,471,329,162,169,962,359,515,120,862,779,417,767,
824,450,404,188,987,054,920,959,214,303,795,368,929,849,029,796,331,448,128,
552,908,019,721,353,179,235,683,409,576,604,929,313,850,486,030,510,925,061,
689,595,850,221,649,753,982,514,172,601,975,449,205,552,257,937,770,020,782,
685,552,480,431,083,864,217,495,961,009,427,249,633,020,419,204,690,925,926,
014,179,662,665,970,804,968,146,435,660,976,282,122,577,534,326,944,739,538,
688,398,569,052,792,695,752,977,624,584,915,149,836,705,846,296,581,324,056,
020,838,252,704,897,621,201,255,717,894,163,060,266,791,823,847,675,557,739,
495,087,638,208,087,641,379,370,396,372,100,260,107,334,927,370,514,077,647,
631,753,087,506,898,698,635,869,220,584,686,838,100,963,728,471,003,303,535,
894,210,122,340,380,659,961,836,546,588,624,662,280,101,317,553,111,155,293,
688,287,540,100,420,826,054,531,961,938,695,078,078,364,668,500,221,868,909,
133,155,619,315,268,720,480,849,597,266,794,612,910,728,188,018,314,348,373,
677,114,533,243,190,025,038,226,875,438,036,696,398,936,071,766,277,913,191,
266,134,239,708,903,284,585,792,859,930,498,488,408,636,495,861,598,771,383,
866,340,977,731,435,077,869,421,719,603,602,101,344,298,574,521,795,255,621,
638,233,123,989,179,063,334,735,549,636,994,155,947,396,766,374,529,652,073,
340,807,840,399,828,273,015,406,718,114,648,424,477,840,858,980,721,601,325,
156,649,174,884,754,691,429,672,995,720,944,335,908,724,091,135,942,964,905,
107,982,779,964,181,941,069,124,148,496,848,749,883,317,238,859,853,040,268,
460,613,926,015,826,048,580,928,340,030,361,598,348,121,309,384,577,607,366,
699,546,918,103,566,002,546,030,200,648,768,195,087,035,556,183,834,916,429,
521,122,929,399,931,685,953,505,085,815,256,835,720,149,441,008,013,390,270,
707,605,376,818,201,371,557,043,348,873,689,681,186,485,648,167,754,908,462,
464,980,467,840,627,881,690,664,742,053,769,913,712,329,575,328,813,591,528,
119,201,121,920,983,360,648,281,684,919,679,539,858,304,813,110,456,328,955,
728,608,289,629,414,189,890,802,827,007,301,706,733,546,165,442,906,381,354,
281,151,063,435,954,069,400,758,371,066,614,047,187,787,040,684,295,197,710,
135,323,353,263,161,897,377,367,607,118,080,362,558,893,298,147,155,420,311,
250,502,603,148,473,225,070,044,035,966,495,377,696,767,810,027,013,142,798,
051,438,756,436,885,445,310,415,348,287,951,541,787,081,987,353,594,058,357,
486,761,830,506,666,026,484,098,423,488,022,112,973,275,230,401,976,327,650,
816,261,120,684,151,959,769,402,297,015,770,620,177,130,382,160,738,269,301,
931,855,355,087,901,581,380,135,702,980,704,479,561,034,808,771,086,205,875,
653,025,391,072,861,568,969,385,048,558,132,387,668,109,225,325,741,178,830,
355,250,469,542,365,511,528,799,517,527,852,025,133,476,288,829,268,699,010,
956,792,715,853,502,558,433,337,402,371,539,938,149,212,174,276,778,660,647,
877,019,701,217,471,059,391,748,236,308,199,999,377,865,682,588,783,559,312,
211,357,115,953,915,400,056,576,091,628,609,154,051,786,529,485,506,372,937,
245,880,385,414,459,044,968,337,796,901,291,353,828,510,052,892,833,637,316,
295,878,863,647,758,262,828,116,634,531,955,137,923,248,530,648,667,542,406,
553,160,262,550,359,798,220,651,381,103,959,331,015,657,653,846,242,916,498,
891,268,495,213,207,234,079,013,562,739,971,345,574,138,559,711,938,260,618,
829,216,065,690,691,933,408,504,968,467,410,425,723,914,355,222,731,787,279,
214,441,681,748,327,475,495,366,772,770,886,478,817,134,799,494,057,261,194,
667,256,301,469,324,393,961,253,622,269,679,807,743,411,113,344,912,744,917,
340,878,936,048,091,931,500,047,814,320,875,192,619,767,629,612,978,898,835,
381,936,119,559,867,935,426,000,928,432,362,587,289,714,694,802,402,138,514,
426,009,732,378,704,488,486,751,290,044,157,273,539,771,460,756,306,031,524,
888,644,542,009,901,012,587,558,629,889,327,663,611,089,130,699,778,641,554,
863,811,095,482,176,543,851,057,124,729,560,184,931,057,416,312,133,037,282,
376,444,834,836,910,713,097,686,881,154,455,127,697,554,659,196,355,929,538,
519,927,314,497,931,698,622,330,440,868,349,893,651,906,276,571,440,815,404,
512,301,171,413,228,540,315,962,721,200,467,824,903,592,929,291,003,160,942,
912,313,318,370,494,874,894,239,573,759,754,993,571,778,538,271,780,632,531,
433,879,904,577,851,321,116,066,741,480,558,953,685,669,703,812,679,170,701,
026,248,236,315,774,880,129,187,194,497,152,102,667,597,042,115,673,647,909,
262,765,587,189,667,218,827,349,248,783,368,801,234,593,359,122,001,005,908,
191,196,537,869,192,802,896,783,255,617,638,245,691,955,676,467,156,629,451,
016,655,070,787,739,870,076,353,150,478,858,719,767,134,662,264,795,590,746,
793,611,567,338,325,981,411,830,542,504,429,231,449,641,140,217,497,660,483,
576,979,046,819,003,130,507,323,512,913,957,175,900,060,318,034,212,485,441,
627,477,402,259,282,229,135,081,800,829,213,591,987,702,861,266,708,029,692,
383,590,307,966,846,177,521,270,533,680,410,709,295,282,979,481,330,904,948,
047,687,559,134,302,523,691,807,624,220,332,060,843,748,811,453,685,352,210,
288,127,123,967,734,461,077,321,500,470,938,879,157,896,669,065,993,265,444,
102,432,643,738,422,705,658,872,882,576,111,632,742,913,590,358,880,432,228,
423,583,633,711,697,985,746,456,426,625,294,749,471,343,560,572,196,491,703,
941,658,957,440,104,390,871,580,561,637,488,227,521,586,927,147,012,378,540,
590,449,936,826,927,006,024,818,270,970,106,347,971,369,799,176,132,631,780,
379,739,421,983,790,257,330,468,669,928,673,880,893,936,237,305,684,686,960,
816,245,192,324,304,602,217,489,626,423,899,100,237,021,393,168,776,463,369,
676,085,476,787,588,409,282,552,313,900,998,905,624,454,944,250,109,347,569,
221,900,050,321,775,183,557,814,467,693,095,028,005,242,528,367,079,791,349,
485,343,952,156,268,036,974,612,797,771,144,659,500,638,917,873,835,448,391,
543,125,559,048,511,368,111,518,890,898,759,532,569,689,141,327,794,191,484,
321,621,993,750,205,383,285,663,337,741,182,089,526,995,949,241,757,824,724,
018,789,472,364,781,100,586,009,820,922,685,847,960,669,602,319,278,237,706,
976,104,544,182,021,403,938,670,183,024,597,845,210,825,293,144,671,438,520,
852,712,377,124,291,459,353,612,347,545,293,648,033,085,421,693,925,645,260,
119,445,428,613,795,870,271,950,966,247,993,722,171,834,820,251,875,725,090,
316,591,011,868,829,827,365,232,513,386,844,796,769,020,883,435,074,615,288,
503,415,580,229,217,716,155,022,767,041,442,593,427,801,780,156,587,547,164,
127,848,636,059,495,188,787,972,550,115,195,661,368,149,470,092,691,961,035,
017,211,531,857,457,992,279,538,722,227,347,002,349,494,645,425,607,545,537,
332,428,242,439,617,417,345,658,080,522,032,222,260,522,471,833,162,437,503,
463,833,995,764,278,744,361,104,650,803,917,081,573,225,359,846,832,182,498,
487,136,164,422,159,583,466,665,613,485,052,870,390,313,230,668,525,688,048,
850,370,369,689,269,477,691,952,556,802,960,132,410,416,360,524,305,784,391,
277,342,785,766,095,392,341,065,805,339,839,319,634,831,300,490,611,113,006,
922,837,064,339,740,319,829,492,510,177,250,827,119,501,211,303,225,344,870,
857,684,008,234,138,070,300,021,125,375,752,980,115,999,262,476,005,013,560,
129,675,443,607,345,145,322,520,557,186,922,688,332,232,340,065,102,682,611,
570,897,964,185,693,163,886,440,937,567,517,184,099,630,927,797,130,276,709,
242,203,549,126,489,595,689,403,897,045,599,405,289,312,777,286,920,850,001,
610,759,248,253,611,363,502,711,745,299,772,206,634,319,670,609,313,263,351,
784,067,518,621,399,937,790,682,285,603,171,332,464,419,913,844,131,372,978,
606,023,345,347,411,624,708,660,231,915,012,598,338,897,929,931,152,959,965,
531,272,132,878,838,421,145,621,388,989,422,055,210,845,066,300,782,671,337,
464,751,132,175,575,238,051,915,673,070,333,099,433,244,719,096,802,214,321,
053,350,173,100,657,483,634,338,242,971,301,231,307,273,548,873,815,210,599,
683,052,281,008,916,898,232,722,498,802,863,555,078,087,271,909,711,649,095,
739,016,513,271,526,570,585,520,443,463,434,013,004,892,500,397,614,709,597,
785,897,751,677,941,834,503,066,457,550,626,291,286,237,884,980,317,279,657,
422,344,669,276,132,952,246,830,577,667,634,717,944,537,368,469,886,473,611,
426,505,448,300,019,949,812,577,228,411,405,445,066,580,966,411,571,677,678,
136,381,118,321,491,841,903,957,749,028,413,854,782,621,861,062,278,278,279,
349,729,554,204,342,653,153,110,138,988,395,789,274,152,012,894,585,146,228,
306,018,974,276,412,650,941,385,530,405,822,981,785,009,953,872,514,971,094,
619,427,580,779,734,595,529,475,901,032,781,171,512,255,175,774,784,767,597,
503,891,692,261,476,885,742,346,087,492,528,570,141,317,425,756,547,831,210,
746,699,504,668,982,313,817,989,533,908,650,064,852,525,659,054,350,177,319,
285,506,539,074,748,305,750,998,944,985,165,241,337,628,536,118,044,656,333,
407,673,421,586,171,650,821,635,785,512,687,575,639,052,559,560,299,016,740,
315,696,639,214,939,196,606,830,524,160,563,070,001,049,115,274,110,603,623,
639,616,629,329,021,152,863,688,142,428,438,596,691,800,747,182,762,679,539,
448,559,956,964,655,101,775,105,120,447,604,148,742,101,282,843,885,467,070,
812,450,994,098,921,201,970,480,305,107,005,711,759,247,977,480,583,786,867,
570,133,465,767,031,983,441,710,095,349,533,792,553,384,030,158,235,643,633,
755,510,216,170,266,647,903,049,146,660,119,892,946,001,347,264,332,452,870,
309,302,896,954,504,717,112,150,434,618,759,215,780,005,385,948,415,694,892,
448,297,097,917,885,545,229,709,228,481,433,903,020,745,923,619,216,719,277,
047,824,020,433,775,110,364,432,306,170,365,825,128,614,613,380,207,020,076,
216,439,870,873,958,837,237,434,345,249,635,709,961,285,479,623,078,446,431,
403,164,311,758,647,539,340,115,109,405,671,537,214,820,512,846,720,038,966,
081,562,772,291,072,634,947,438,675,336,751,863,324,418,761,741,688,190,836,
288,825,879,442,484,366,714,932,784,644,715,279,114,521,269,476,404,419,297,
104,982,614,068,947,332,044,274,984,309,841,631,062,407,086,874,048,512,184,
863,241,660,603,840,221,614,362,125,526,625,932,580,916,473,334,377,722,762,
691,931,713,195,538,076,415,544,208,438,646,649,106,123,589,399,611,497,063,
472,030,052,750,559,232,775,698,756,250,883,655,676,478,240,169,210,070,559,
485,123,522,988,942,697,207,374,171,770,426,052,707,247,465,356,741,757,248,
209,494,686,536,143,537,232,929,000,784,485,791,474,305,753,662,723,297,985,
283,467,560,049,064,239,943,698,062,216,478,600,116,198,148,729,758,442,019,
612,122,058,799,283,471,831,528,265,372,453,010,037,402,992,632,498,477,340,
071,095,320,269,177,537,942,806,967,165,214,562,440,062,731,130,735,126,952,
872,402,571,573,430,979,501,959,885,411,879,876,449,588,440,031,239,664,183,
019,402,092,542,621,666,936,393,053,531,424,826,602,781,053,840,737,027,380,
462,326,438,389,159,473,752,948,001,283,417,068,968,544,842,467,005,133,909,
857,587,954,165,443,126,276,596,127,800,298,266,126,133,310,727,716,570,428,
891,606,734,233,027,287,946,000,550,554,539,273,635,735,760,103,972,299,055,
831,468,833,186,152,339,693,924,027,236,968,173,738,358,782,488,270,013,012,
174,958,979,837,405,611,256,612,207,425,217,270,541,962,699,677,004,018,646,
845,921,794,563,093,463,732,030,743,211,591,293,601,881,795,037,232,192,081,
224,481,749,389,485,890,158,654,788,024,831,234,833,753,663,641,551,538,156,
748,011,537,738,075,745,994,465,099,748,353,665,171,333,178,943,412,018,077,
956,861,823,296,449,817,453,675,768,651,366,247,108,649,712,774,526,920,527,
789,259,412,035,365,041,451,478,591,856,748,971,347,916,977,758,996,294,090,
579,254,056,311,573,923,497,771,022,043,034,756,888,196,952,529,239,023,398,
782,124,761,928,694,999,443,208,726,448,917,515,146,012,697,748,037,246,236,
205,808,019,188,579,770,384,333,601,027,511,480,476,429,487,813,892,375,308,
721,775,324,716,987,108,812,665,798,406,602,878,416,698,511,617,612,489,475,
316,923,906,219,527,183,896,428,012,059,119,503,516,555,985,856,111,405,833,
332,885,475,347,506,574,371,632,006,606,656,626,060,998,873,915,417,374,996,
183,636,355,154,732,240,093,547,151,288,299,507,370,305,974,842,449,239,499,
195,448,027,772,051,909,024,078,675,117,608,169,912,472,615,612,224,094,517,
605,501,898,628,340,065,537,520,960,966,566,864,977,064,122,231,772,534,482,
039,199,207,031,350,442,787,183,192,539,486,102,397,775,105,558,949,097,812,
907,470,452,662,753,305,519,238,087,492,379,474,175,984,294,025,224,947,852,
166,288,545,355,056,997,430,091,932,603,052,843,094,299,556,609,918,469,266,
833,671,750,701,775,586,499,217,169,953,119,155,988,761,074,735,082,997,146,
047,024,422,423,671,058,362,769,740,973,261,748,124,532,889,483,119,001,202,
524,029,085,753,508,065,401,906,359,454,308,618,257,907,200,580,423,877,558,
094,521,625,481,748,536,065,699,522,065,486,462,460,602,496,330,759,123,268,
843,368,657,379,058,444,142,970,712,178,147,538,563,211,314,647,316,205,074,
562,936,415,836,893,181,647,913,112,547,886,961,416,069,784,725,404,698,803,
903,462,698,073,759,906,104,593,701,163,851,491,377,034,544,133,618,777,929,
593,458,240,504,823,867,917,276,274,732,254,352,741,419,166,921,196,655,811,
645,500,123,504,764,827,870,401,516,457,470,272,863,985,021,118,982,441,791,
439,830,513,219,377,767,271,335,758,888,435,724,603,531,854,718,232,855,158,
111,454,557,053,841,206,689,440,805,455,583,575,283,573,149,375,217,800,808,
260,686,137,658,527,806,758,221,193,593,668,105,743,646,280,511,581,544,504,
683,692,861,995,674,278,682,645,149,597,811,355,158,017,539,495,732,956,741,
950,232,251,030,269,944,771,640,790,922,956,921,627,115,925,390,924,236,444,
755,760,737,205,943,747,495,370,708,040,816,853,856,281,484,344,767,493,811,
120,510,781,868,009,446,345,151,280,468,093,393,204,785,785,578,294,152,927,
858,328,447,330,383,361,600,546,876,210,832,369,126,959,212,694,489,735,764,
708,037,215,057,956,293,494,416,564,107,283,951,069,995,030,491,914,568,385,
928,163,672,200,126,939,769,537,862,470,174,595,329,996,512,615,748,032,415,
336,254,422,423,333,864,318,044,745,881,538,384,626,274,633,698,653,799,577,
733,321,608,189,345,729,889,356,847,451,760,402,550,019,425,555,542,967,845,
250,676,341,782,900,095,680,123,451,726,138,584,388,344,411,372,821,274,516,
778,324,805,489,164,987,380,307,820,996,418,737,236,369,548,943,743,817,631,
733,388,572,814,352,142,894,925,087,520,213,374,116,354,513,650,434,503,936,
556,503,406,857,675,606,244,705,728,933,151,823,397,623,307,169,740,779,082,
416,041,057,318,883,566,364,510,995,954,570,169,149,266,658,266,046,737,079,
816,009,177,429,198,217,502,915,433,824,648,966,656,385,729,704,251,241,045,
157,529,861,106,145,300,186,673,188,327,604,250,216,609,844,504,632,073,256,
865,176,855,146,441,837,008,282,182,272,519,100,822,356,490,928,390,580,587,
398,724,872,231,357,237,573,775,725,567,593,281,851,576,392,423,784,176,119,
596,983,036,020,541,448,484,825,324,752,027,928,166,617,231,048,630,538,565,
203,579,871,281,383,990,921,970,135,218,080,471,883,235,264,526,816,996,714,
817,821,914,125,806,520,492,328,157,177,646,625,117,816,628,241,788,686,663,
150,387,376,782,550,640,787,772,239,561,398,804,616,693,996,337,428,851,962,
198,582,651,138,183,256,566,779,658,678,637,282,152,081,398,531,568,629,314,
141,010,512,423,181,740,845,912,333,950,353,369,369,501,378,089,347,448,882,
902,718,543,819,625,100,292,398,752,318,166,863,589,622,617,879,943,011,786,
076,788,180,022,910,028,821,060,137,334,612,644,279,570,182,804,519,588,992,
694,143,694,233,877,200,550,009,633,823,715,847,710,043,081,483,983,862,167,
240,375,926,720,845,710,916,939,038,372,157,708,104,076,890,382,894,897,263,
929,625,843,712,284,291,416,062,141,675,353,396,270,697,917,333,414,450,339,
075,248,309,968,662,535,672,239,888,417,389,198,970,223,685,846,563,480,565,
354,266,889,870,008,359,783,315,204,986,180,834,781,348,371,563,007,727,914,
264,788,546,673,039,139,208,160,082,631,703,717,385,158,413,236,220,498,203,
244,595,397,120,570,083,842,890,113,920,173,377,527,539,590,631,222,589,280,
417,539,802,722,386,718,021,785,487,098,784,046,479,882,356,162,658,992,712,
237,618,501,463,133,422,127,721,423,762,428,025,143,077,869,804,929,158,477,
104,123,772,609,099,563,885,093,160,193,136,388,119,236,902,232,545,906,382,
101,342,499,965,934,225,162,613,564,756,417,533,939,064,944,991,047,579,168,
322,297,254,510,569,182,701,127,180,611,414,990,916,422,629,172,815,855,571,
350,818,386,116,873,179,962,659,345,928,255,606,148,490,978,056,122,998,553,
719,262,101,343,046,764,263,701,038,331,891,568,510,328,219,585,737,395,135,
680,741,852,953,672,887,425,662,461,128,786,694,541,840,444,709,003,863,126,
059,484,182,445,294,084,636,208,753,479,155,902,283,796,608,712,863,708,113,
118,123,399,740,585,493,113,377,450,523,365,369,898,913,389,290,700,491,234,
350,566,585,886,966,262,848,810,170,336,552,835,741,303,221,633,981,885,104,
997,030,453,252,835,899,397,296,268,712,949,550,258,484,806,108,587,966,663,
701,887,946,591,604,879,515,601,598,071,007,007,942,130,310,432,193,919,782,
753,103,414,262,255,823,875,778,027,074,073,567,367,237,079,794,121,224,658,
462,306,020,331,288,041,532,725,183,921,153,980,640,676,818,716,324,878,653,
822,499,868,971,428,660,676,340,962,535,270,994,184,263,555,114,431,672,678,
965,844,735,997,393,833,739,088,503,162,211,548,046,525,122,215,890,115,623,
653,087,109,193,367,735,435,786,489,089,699,766,374,103,162,551,794,750,277,
831,529,680,008,396,604,318,234,185,964,323,463,208,011,278,814,896,842,621,
113,502,269,647,023,718,158,882,328,922,303,842,653,097,517,094,783,677,543,
520,753,765,088,548,361,464,587,376,441,283,001,233,237,430,351,877,070,561,
050,445,188,261,936,483,937,162,500,909,729,633,888,265,896,283,770,093,216,
609,729,842,128,055,074,279,970,944,855,477,464,512,717,642,131,036,777,737,
444,841,463,818,095,792,168,665,471,071,171,499,952,655,847,908,161,266,687,
838,403,810,026,266,103,876,103,149,603,494,943,352,706,380,131,129,365,069,
632,761,690,999,417,131,003,482,600,004,529,556,762,725,075,562,691,177,263,
941,411,371,596,117,605,284,824,094,459,770,700,508,067,437,045,001,309,672,
358,169,117,587,051,622,711,263,117,519,401,941,206,279,209,091,578,875,695,
518,354,309,216,491,245,590,006,996,231,552,292,335,625,829,312,416,375,604,
005,818,566,601,214,880,597,897,086,069,819,088,399,670,053,353,647,582,833,
039,039,528,945,287,742,923,744,955,972,728,849,793,430,960,627,209,864,287,
118,973,140,668,013,263,999,109,604,139,215,663,047,992,124,011,473,026,699,
298,262,451,347,326,359,352,943,153,172,231,964,744,694,410,819,326,517,823,
404,624,427,008,419,521,498,708,258,621,033,671,705,730,721,028,385,388,990,
035,013,013,350,976,721,069,687,683,502,908,637,922,716,352,350,430,253,574,
209,736,955,243,500,843,714,030,590,233,381,409,563,175,740,483,717,750,496,
276,463,203,703,470,595,092,415,158,623,397,924,178,844,919,891,219,496,434,
332,377,594,490,750,474,294,594,569,855,101,149,329,892,892,082,506,871,461,
950,641,299,672,193,496,236,075,906,546,403,720,071,961,990,677,947,743,258,
118,501,550,531,416,096,508,523,943,746,398,188,489,290,659,954,443,269,579,
502,949,839,163,151,375,346,324,865,452,634,725,484,698,284,834,744,289,350,
884,814,523,858,980,863,488,744,760,311,935,542,214,005,416,974,813,779,847,
110,383,015,059,559,028,060,397,379,958,887,778,627,744,796,344,321,630,639,
412,353,167,065,608,057,746,763,665,708,002,211,559,584,667,818,820,357,004,
550,019,506,358,562,141,943,616,520,382,770,796,040,077,950,702,759,239,949,
284,075,688,382,405,993,188,471,827,775,885,719,903,880,165,465,469,594,567,
427,214,665,644,723,510,598,869,215,011,609,723,082,825,876,724,044,149,755,
386,151,965,415,816,110,404,966,921,376,624,439,590,875,056,301,206,012,016,
599,599,880,569,931,451,239,203,880,046,958,796,467,211,974,355,207,297,083,
910,414,224,094,489,940,584,693,153,732,407,069,215,909,258,837,844,363,596,
631,970,299,945,833,786,779,817,417,360,459,672,116,189,575,491,574,843,496,
614,362,194,235,829,494,420,724,927,637,547,484,925,774,978,422,298,546,746,
640,035,541,973,085,208,360,017,833,716,326,855,923,616,075,637,553,138,059,
141,477,242,959,170,086,905,790,432,704,881,213,031,829,898,570,232,699,193,
218,151,233,180,457,723,402,360,373,438,620,204,691,273,538,122,971,047,532,
309,595,461,032,927,839,339,759,381,767,530,745,594,076,866,182,897,306,504,
601,198,041,444,067,637,794,934,740,801,875,033,276,853,897,385,523,484,666,
131,111,967,260,390,126,157,320,868,366,716,030,912,931,064,950,280,653,177,
479,072,466,795,858,181,953,019,165,480,739,814,100,548,879,318,405,237,113,
180,270,945,137,926,259,833,531,749,717,005,108,390,602,044,708,243,277,663,
625,337,019,747,863,032,456,824,532,118,077,273,716,401,761,829,655,655,468,
484,679,504,095,298,033,124,975,340,528,268,865,619,593,764,080,108,215,169,
281,880,568,844,466,676,622,700,673,235,197,007,390,045,714,679,584,941,233,
513,436,734,708,409,445,533,357,986,168,759,358,514,828,658,406,585,787,323,
919,015,016,736,882,713,292,370,110,259,918,646,452,957,343,389,613,931,363,
221,025,600,613,903,761,799,607,967,469,769,256,144,349,744,789,490,739,036,
349,519,202,413,774,003,365,392,508,923,468,559,549,486,338,126,074,134,815,
711,104,180,448,004,537,490,998,801,847,206,303,709,145,159,937,382,066,830,
165,819,651,500,106,776,664,053,207,189,364,894,427,743,565,578,772,794,228,
348,163,708,981,360,681,414,682,282,670,493,752,341,756,666,258,946,880,686,
046,840,345,467,113,494,492,408,530,789,448,111,338,345,947,197,088,070,564,
973,499,038,566,661,187,634,954,170,235,453,935,553,592,654,885,087,571,870,
857,736,486,757,766,202,909,461,057,820,413,861,754,448,783,330,683,484,147,
054,834,742,581,401,896,067,371,607,370,148,223,903,263,675,482,301,970,426,
786,071,352,410,785,094,421,162,109,776,597,781,688,917,945,656,922,167,463,
484,784,871,111,121,572,741,972,367,564,049,878,629,298,677,329,038,226,533,
603,449,707,463,084,394,898,151,387,709,969,581,114,113,105,806,294,605,898,
558,566,385,656,001,385,527,399,325,920,364,385,034,520,827,894,065,650,702,
215,267,404,826,058,804,878,636,370,706,109,223,575,104,766,880,939,172,384,
815,726,296,914,524,644,587,365,196,696,231,751,095,850,302,117,851,873,900,
256,527,328,838,934,664,785,186,509,857,896,936,677,485,422,579,772,815,141,
502,378,484,691,244,402,763,942,763,105,020,972,526,691,889,057,441,535,043,
796,191,246,706,148,150,777,643,129,143,608,756,576,829,137,107,216,678,475,
892,447,820,144,950,121,574,346,785,323,771,978,188,572,273,008,829,126,543,
260,058,297,390,347,057,550,989,494,479,002,729,837,151,245,241,601,159,407,
828,363,321,735,293,109,969,962,876,317,780,055,080,959,576,708,555,704,767,
526,927,123,095,741,298,093,456,844,978,018,308,760,308,950,107,497,781,466,
397,571,828,361,640,716,041,877,592,958,056,681,770,935,786,598,047,063,160,
009,217,586,935,980,985,820,233,747,094,281,460,899,083,329,374,414,847,234,
461,682,195,168,951,692,450,038,980,598,423,319,515,848,514,448,702,370,049,
549,998,350,632,530,219,366,794,631,198,136,263,433,852,856,912,637,753,207,
900,369,938,126,567,902,766,894,962,494,875,189,661,393,333,436,597,240,474,
613,659,818,449,405,251,701,632,507,141,467,126,478,399,294,972,126,982,352,
592,118,267,385,404,396,050,464,433,634,678,504,611,843,579,508,581,773,028,
747,206,493,182,288,655,110,727,694,381,570,092,580,065,247,347,467,384,143,
570,229,341,333,455,518,180,995,585,194,309,846,660,752,601,807,400,802,891,
655,360,152,722,937,992,985,635,152,280,320,331,458,307,152,196,194,391,508,
462,347,094,033,911,897,348,904,259,919,169,930,363,926,518,905,397,881,831,
150,933,345,245,263,342,335,372,931,473,041,767,032,827,219,485,187,139,428,
961,274,281,070,577,008,561,650,268,786,798,682,288,802,517,830,385,528,223,
632,165,044,876,433,029,598,835,936,617,772,881,244,743,530,251,241,005,119,
703,561,391,344,498,405,004,804,585,771,752,001,053,003,994,785,328,670,223,
569,133,856,731,274,869,353,679,075,991,773,513,745,750,250,690,774,817,124,
916,789,877,643,808,614,642,514,203,939,437,457,969,813,762,488,137,478,949,
429,146,313,354,034,387,130,442,944,650,693,666,527,270,859,117,647,215,597,
814,223,431,246,425,972,848,059,769,221,282,048,854,277,241,761,644,913,159,
486,201,427,130,346,474,692,245,231,701,844,044,915,321,839,043,594,535,279,
063,576,602,340,860,265,798,728,752,448,579,929,576,514,891,423,239,383,741,
141,306,595,615,376,306,909,404,395,241,975,062,065,911,293,373,827,727,063,
120,170,232,738,034,100,677,749,170,826,213,516,041,958,841,886,735,604,094,
996,370,367,928,572,161,629,014,398,874,831,178,359,445,828,752,363,613,177,
416,915,269,215,161,214,003,994,416,503,716,708,942,258,384,316,801,451,706,
035,864,325,932,544,221,907,827,612,510,091,383,991,605,822,784,655,904,632,
949,565,085,716,175,079,560,395,834,866,573,502,948,236,717,043,951,380,036,
768,389,114,362,083,936,730,215,816,142,408,724,788,625,854,672,860,965,999,
362,759,076,512,960,968,335,600,266,858,072,159,232,013,514,422,140,300,907,
844,478,475,701,929,659,265,368,082,234,950,527,764,704,878,843,289,068,970,
467,077,144,789,055,358,608,234,991,689,958,694,822,610,310,112,419,468,120,
880,120,363,922,510,252,773,675,210,737,370,277,629,875,300,757,359,085,632,
032,904,036,259,162,453,894,399,152,868,185,653,622,632,430,266,092,452,783,
988,215,130,422,812,998,993,210,548,862,137,620,721,815,972,415,921,117,265,
899,739,390,858,793,257,321,161,757,540,172,024,015,638,456,200,506,368,151,
955,073,375,163,223,465,371,488,463,747,417,920,367,773,808,189,028,931,760,
947,079,099,545,053,260,197,342,525,868,997,703,197,048,003,658,293,791,471,
331,090,772,810,403,748,312,737,753,130,346,479,099,030,815,221,878,061,873,
734,669,918,420,267,510,560,901,729,065,076,724,191,580,752,344,957,324,413,
127,402,335,395,247,118,282,008,003,898,664,297,099,080,237,870,562,207,759,
001,098,980,678,616,619,439,824,440,281,909,715,748,049,980,148,447,084,872,
558,093,470,499,180,342,865,235,642,770,213,590,635,663,141,517,694,560,769,
539,999,306,219,991,867,573,533,776,556,586,727,539,763,433,155,546,665,830,
134,083,971,607,585,902,736,509,206,210,080,012,488,359,318,766,953,492,077,
564,903,032,691,349,669,108,987,740,385,351,169,978,037,811,892,185,756,295,
922,652,197,531,601,076,441,776,342,546,564,374,461,470,473,605,783,239,482,
480,463,317,752,742,590,253,837,035,246,196,753,169,393,976,687,225,123,060,
939,643,863,822,501,751,291,351,507,315,065,681,832,897,935,029,282,810,051,
063,540,474,040,108,562,447,526,250,780,531,972,905,932,326,299,636,732,342,
178,895,446,172,874,911,748,924,778,595,051,448,777,644,152,597,935,309,019,
631,841,550,176,288,870,034,508,919,116,160,363,378,890,173,979,758,025,493,
627,001,911,332,514,691,779,302,152,079,368,456,887,674,781,938,402,633,911,
306,722,591,628,143,334,996,929,939,395,090,932,162,680,606,877,312,363,239,
840,238,157,346,635,357,830,002,742,126,406,165,778,946,484,593,597,407,096,
292,324,281,350,415,117,308,286,942,375,118,811,665,689,494,633,945,111,916,
776,045,848,587,678,273,414,753,224,477,282,898,394,416,758,103,700,014,347,
762,149,378,775,892,704,961,786,785,698,205,510,457,105,251,767,336,850,569,
579,878,566,343,812,002,678,611,539,528,942,001,598,913,601,797,281,982,966,
103,112,710,881,790,813,895,266,200,171,823,062,754,810,680,166,056,228,986,
750,132,566,131,285,039,153,196,489,480,192,610,409,344,491,311,292,210,686,
357,256,325,581,643,514,397,360,729,721,139,372,397,367,067,643,326,543,493,
885,032,792,046,356,653,067,953,764,665,636,991,175,224,956,196,388,229,982,
681,086,691,120,495,524,211,544,130,472,352,485,490,250,565,536,723,239,590,
279,121,605,911,536,424,503,151,246,580,652,812,568,989,122,488,994,752,439,
454,765,371,303,691,428,373,448,725,309,715,750,971,442,016,751,863,908,455,
837,341,722,476,224,693,059,814,524,719,780,964,166,991,471,518,007,683,501,
205,920,665,758,398,769,980,308,957,029,569,295,975,254,195,423,289,470,759,
765,054,530,140,266,581,240,902,030,470,602,385,930,430,235,629,345,647,819,
092,002,319,238,629,773,859,106,368,766,054,162,744,262,429,821,081,972,438,
017,822,090,914,275,306,168,388,585,396,016,805,109,764,466,252,690,233,755,
575,400,830,723,237,940,976,831,152,863,200,460,906,932,595,402,691,866,323,
722,700,164,016,993,993,902,452,528,086,015,856,914,882,657,493,301,994,606,
976,525,906,440,003,784,106,571,896,838,785,023,235,739,885,992,662,295,919,
615,895,292,832,769,753,267,135,782,888,313,899,260,901,871,365,428,230,447,
401,198,603,890,746,719,345,862,141,457,396,460,291,901,852,262,524,731,404,
289,755,833,688,549,419,282,239,731,736,695,002,897,492,716,328,138,159,461,
432,951,832,475,581,110,141,246,281,416,845,129,048,121,902,985,805,936,943,
375,413,438,406,966,617,657,397,970,415,892,671,636,592,436,797,845,398,810,
710,437,892,766,217,692,329,312,219,138,072,934,803,093,163,012,925,996,085,
319,979,636,382,884,146,772,140,682,244,647,367,668,963,294,735,464,802,021,
751,574,891,055,292,692,327,321,600,810,630,878,559,482,841,294,000,286,667,
596,209,789,422,604,006,297,039,896,158,269,174,779,954,046,769,804,304,401,
420,261,829,940,303,392,098,352,817,060,274,919,245,232,447,120,865,495,889,
160,805,450,846,609,327,835,131,966,242,260,778,703,434,691,084,659,979,702,
034,628,523,338,649,459,144,508,109,545,730,490,921,722,282,944,956,203,086,
193,886,359,875,156,432,802,192,822,047,194,060,123,647,294,934,910,928,920,
019,787,509,074,391,175,781,282,152,587,172,309,893,218,515,549,353,805,771,
689,757,907,779,657,036,098,951,216,742,816,662,030,463,335,495,964,191,433,
738,635,861,815,464,398,306,536,643,965,816,500,271,928,026,101,218,767,895,
926,085,810,528,060,209,848,189,814,297,405,661,374,642,229,159,632,660,575,
919,650,442,285,971,670,834,796,489,394,219,502,663,430,772,828,542,909,140,
391,303,360,227,178,357,955,541,260,492,138,659,982,128,959,946,984,838,123,
073,326,662,801,441,965,639,908,455,518,661,473,053,193,875,945,310,210,337,
368,054,944,047,800,079,897,466,764,646,906,306,846,442,480,384,170,447,294,
983,292,269,443,898,003,711,073,315,983,251,479,728,412,667,785,854,544,534,
625,883,530,718,669,034,661,629,068,253,367,518,879,505,546,263,252,327,608,
647,087,057,659,787,007,602,754,783,867,230,074,253,954,222,095,833,613,229,
555,615,016,584,374,293,243,482,446,738,030,362,135,291,038,158,283,478,641,
830,741,111,740,326,981,801,370,567,508,950,769,002,494,302,615,807,323,105,
217,758,252,221,071,832,119,330,959,471,900,833,140,561,480,223,651,228,983,
705,819,884,212,327,655,104,703,296,018,647,650,992,837,062,303,211,373,389,
100,548,644,946,753,247,839,504,964,554,886,160,764,562,412,892,019,871,497,
104,601,624,461,643,048,989,282,904,414,541,378,723,896,983,103,733,623,110,
722,033,408,042,169,463,290,090,650,540,434,775,069,339,854,060,015,234,866,
757,247,309,946,605,080,188,727,565,025,665,666,971,829,602,372,861,183,426,
387,842,326,359,263,885,001,528,795,811,364,454,794,290,826,727,993,178,727,
751,571,547,691,035,670,212,015,657,711,584,295,354,402,133,227,465,098,800,
875,147,145,869,693,487,148,283,067,083,602,187,820,389,520,606,277,950,730,
202,160,732,099,865,788,020,363,873,018,279,384,413,210,507,990,905,075,706,
207,461,016,691,540,468,700,100,476,503,848,130,109,620,627,068,467,482,177,
303,637,362,703,249,924,670,350,686,196,969,095,955,434,013,554,832,820,160,
544,372,242,411,208,689,163,817,375,520,422,971,261,272,012,058,488,329,260,
571,967,874,884,617,662,043,212,571,312,267,990,169,844,766,144,951,799,869,
192,698,703,447,986,702,034,553,499,824,555,519,364,890,916,632,598,277,135,
662,759,801,465,475,276,980,775,787,683,468,982,023,502,773,374,940,408,650,
615,535,763,687,442,212,396,536,660,811,343,417,661,294,505,801,290,215,033,
405,629,185,568,096,339,313,263,287,420,823,538,258,244,680,386,712,541,764,
656,783,287,460,650,308,441,180,154,969,913,457,245,552,563,155,095,470,607,
705,299,247,830,077,445,329,652,984,840,781,003,964,301,895,940,914,322,025,
439,376,876,483,980,468,230,874,311,461,178,079,938,041,511,103,908,368,997,
912,442,259,109,499,008,550,018,163,034,134,907,215,725,528,941,693,284,317,
096,239,064,107,456,902,165,215,144,910,644,859,338,193,845,561,555,970,185,
670,423,271,499,547,251,923,717,115,860,049,256,756,351,698,416,652,537,806,
173,984,941,618,032,701,601,564,043,562,052,831,634,430,361,023,819,122,654,
025,420,275,173,709,671,012,860,952,338,778,992,986,559,267,053,368,701,691,
925,926,449,303,631,716,710,628,054,739,456,654,236,413,598,027,377,712,397,
310,203,221,553,688,312,044,830,294,902,350,214,244,306,634,608,353,658,787,
455,417,077,502,570,788,068,084,712,688,459,171,469,683,448,028,148,563,869,
239,731,264,682,013,685,617,629,678,677,375,102,445,170,035,308,299,291,322,
874,738,789,357,883,915,561,021,028,451,928,626,250,032,997,638,273,756,671,
479,810,696,144,055,439,963,173,225,815,689,326,525,679,578,552,666,033,565,
690,272,736,203,918,666,439,767,783,797,266,201,256,454,810,442,286,919,512,
741,205,820,952,394,068,114,917,106,750,998,199,032,680,372,635,182,110,053,
032,102,341,244,375,697,494,436,996,581,187,787,849,404,644,270,310,904,932,
397,002,459,493,250,141,478,471,419,873,140,881,554,625,328,929,893,460,090,
644,977,621,116,360,839,746,088,475,841,858,531,064,507,126,567,027,659,510,
106,367,671,708,650,972,260,566,953,238,651,374,124,603,762,418,595,356,712,
601,118,165,572,357,926,153,424,040,825,911,698,761,666,609,242,077,197,161,
281,752,600,020,969,653,523,200,204,134,452,240,681,542,786,696,593,385,895,
360,717,001,111,405,559,367,512,996,185,147,105,591,109,010,867,621,046,339,
463,194,134,311,804,575,716,466,387,502,891,930,468,104,664,389,923,126,767,
868,329,799,544,271,307,118,382,821,541,961,212,603,160,758,009,112,705,592,
956,362,652,429,815,831,262,512,723,366,740,816,466,398,399,081,028,995,657,
026,590,609,258,343,368,698,943,838,149,657,638,716,652,834,763,176,462,249,
998,666,029,661,041,780,055,197,684,814,469,745,466,689,881,466,562,987,430,
034,153,690,818,603,232,164,927,043,308,929,198,240,551,650,732,897,857,195,
339,632,915,297,171,318,933,910,047,816,482,290,604,200,258,769,718,761,392,
561,185,082,007,302,162,775,584,081,127,507,120,273,099,432,232,506,088,832,
784,059,374,102,882,362,384,619,205,094,023,287,548,260,159,442,958,178,379,
683,760,027,346,801,546,716,961,482,525,630,454,100,825,202,549,017,658,527,
991,236,528,188,998,342,514,241,119,546,569,970,861,988,514,021,814,991,112,
912,788,066,549,921,660,797,105,031,682,173,394,359,364,579,346,288,759,176,
807,699,655,628,073,366,852,309,464,983,450,523,908,990,304,139,703,978,237,
113,020,623,133,829,365,736,928,735,313,852,208,831,446,164,690,053,767,413,
772,647,796,374,873,397,989,468,829,604,493,938,992,813,122,059,507,654,059,
067,598,894,815,091,258,911,957,277,781,350,049,574,626,042,223,205,785,586,
417,748,265,616,654,450,386,152,126,629,616,575,786,377,699,284,087,199,874,
158,973,501,288,990,086,900,218,691,321,332,972,984,615,122,984,223,638,003,
851,237,589,209,290,922,835,425,386,860,432,271,117,531,232,101,284,529,402,
512,574,296,939,884,274,752,170,211,213,675,130,285,981,065,854,458,455,203,
106,043,704,215,684,969,851,596,827,679,481,344,751,411,129,280,092,080,680,
815,332,438,538,142,013,059,839,142,725,076,765,746,748,050,926,147,671,137,
087,888,478,450,583,003,650,253,577,573,868,268,571,891,810,394,077,768,230,
196,155,450,157,146,889,999,780,510,880,420,229,355,173,675,028,837,009,361,
658,607,228,047,237,888,973,552,089,458,276,803,777,989,605,589,746,945,589,
503,002,566,798,039,875,959,926,286,935,719,097,189,797,479,499,887,722,910,
722,440,447,786,810,952,989,530,990,876,240,010,571,358,040,005,412,943,087,
337,502,461,431,423,825,641,767,442,417,341,571,684,978,649,421,077,856,708,
149,661,642,460,147,958,945,912,007,785,730,731,966,717,157,151,704,634,575,
627,741,300,156,478,380,781,925,809,348,116,432,031,496,022,039,423,896,523,
207,661,034,539,808,145,120,694,662,742,366,796,355,890,086,056,941,139,185,
889,116,287,512,179,201,922,655,753,033,096,959,324,876,842,407,129,659,298,
609,142,408,171,929,796,135,295,729,271,485,224,429,586,847,634,112,092,452,
631,432,212,251,463,010,650,814,497,156,277,039,774,808,325,560,183,282,926,
075,890,867,752,791,040,543,349,675,562,020,731,738,969,569,811,383,626,135,
427,067,817,728,895,130,296,088,852,539,875,456,176,497,605,120,582,199,559,
315,694,795,370,171,652,253,523,911,448,338,605,283,289,176,286,791,854,111,
461,855,081,918,509,213,982,793,534,515,407,330,959,841,004,580,580,950,585,
422,482,317,986,962,434,951,808,574,046,452,978,593,059,124,526,401,408,476,
797,850,225,454,486,734,882,218,491,163,120,924,845,465,371,805,358,128,091,
685,844,633,623,934,499,665,135,635,136,631,573,231,710,307,064,641,159,767,
383,630,053,943,588,446,100,234,252,316,838,117,883,650,386,131,638,601,023,
972,163,867,936,564,181,665,322,666,321,506,781,912,029,685,417,657,153,067,
791,323,936,246,066,502,498,480,323,842,871,603,661,854,698,884,594,529,120,
812,932,485,303,779,583,720,615,930,312,213,360,426,651,553,716,207,179,197,
853,270,467,697,227,462,587,617,613,341,309,961,586,995,293,276,544,774,745,
524,063,437,764,171,848,047,968,098,413,740,926,708,544,249,282,911,489,305,
498,589,007,508,634,696,648,107,711,437,828,010,888,785,850,739,554,093,152,
840,035,275,170,720,337,163,914,821,589,197,206,402,033,381,891,725,102,493,
104,026,145,062,014,388,465,639,001,418,245,635,172,159,720,704,310,507,266,
125,763,721,653,653,826,262,270,517,276,003,476,418,211,809,547,733,883,825,
457,383,832,821,201,227,495,344,860,247,172,557,125,429,391,923,334,738,640,
823,795,419,360,481,769,675,953,867,317,133,452,081,085,015,675,356,639,259,
103,822,206,421,667,806,589,345,565,685,658,836,009,938,690,531,469,060,131,
065,212,728,905,875,277,844,406,093,283,386,279,968,393,493,132,994,754,637,
459,875,588,989,484,857,340,410,889,438,882,208,415,338,494,467,003,535,143,
955,852,948,158,073,029,930,750,560,877,780,796,940,210,584,568,240,724,111,
553,302,481,138,656,068,424,070,249,634,910,035,964,651,981,509,372,683,930,
462,750,078,918,145,928,216,962,540,695,779,586,733,369,849,032,628,343,592,
316,630,637,686,959,850,853,319,987,769,808,707,126,105,060,597,428,116,545,
912,796,340,320,247,178,905,899,872,646,033,634,080,345,803,256,725,582,473,
152,229,285,828,830,511,710,176,232,397,584,628,081,432,441,314,178,804,342,
198,673,555,710,211,266,016,096,012,761,415,113,996,243,336,521,619,913,579,
917,081,473,503,488,730,882,727,861,519,295,301,756,184,465,748,515,881,440,
992,354,067,018,107,480,475,551,254,993,326,225,155,861,216,108,484,304,986,
940,139,100,577,443,466,493,223,533,462,117,054,966,875,168,448,184,922,856,
906,577,570,696,974,751,570,084,930,917,848,104,555,467,474,837,881,244,900,
846,798,813,624,819,390,173,470,892,127,359,932,851,378,654,451,482,053,930,
349,197,785,295,799,605,659,967,161,265,301,675,798,376,884,041,103,599,059,
080,871,389,073,933,206,184,285,815,414,369,391,510,143,030,681,736,648,962,
703,037,566,448,919,230,304,028,769,257,468,178,979,945,232,081,211,021,381,
654,181,606,042,687,383,158,012,285,734,027,008,541,512,690,474,120,192,226,
650,588,717,370,339,698,975,595,373,091,051,589,617,729,272,281,037,001,118,
650,081,602,976,554,219,103,372,242,126,226,700,532,573,895,146,543,639,105,
689,904,580,194,260,602,259,081,136,294,303,487,794,929,732,502,820,183,843,
571,886,212,280,070,651,371,775,554,043,846,966,147,779,380,979,806,282,374,
411,791,861,749,770,942,632,602,219,317,000,504,199,800,226,943,439,678,867,
822,764,926,924,902,178,462,655,737,737,788,876,058,343,823,417,664,686,658,
202,809,263,125,729,251,347,634,923,458,360,844,016,059,440,573,109,858,982,
869,041,697,108,678,647,436,452,141,393,021,728,666,706,927,617,741,793,635,
453,440,669,425,461,612,743,491,270,678,527,817,814,470,196,598,069,569,534,
296,295,409,655,101,149,922,781,542,057,113,364,726,210,144,605,375,764,282,
034,642,838,314,997,790,987,461,262,095,146,977,102,634,305,113,495,047,301,
855,911,431,852,799,400,093,458,358,411,743,078,474,298,629,614,314,540,259,
957,442,894,201,606,391,113,268,295,505,315,045,915,536,321,642,076,712,453,
092,529,823,518,087,354,763,653,887,294,547,802,980,006,634,299,519,810,746,
733,067,757,486,654,479,460,500,137,961,945,650,354,026,669,886,852,869,216,
903,382,507,171,761,757,401,019,128,329,205,780,593,642,765,704,924,659,265,
381,546,918,980,946,838,417,681,393,583,753,445,674,123,887,896,044,838,575,
688,087,372,898,872,047,910,316,789,228,323,111,369,175,248,628,741,321,886,
617,328,299,177,752,415,957,272,029,917,999,150,246,550,189,724,542,647,702,
303,355,221,633,837,321,657,531,841,011,202,874,704,152,726,301,359,112,523,
448,806,414,583,439,137,260,426,626,323,313,876,953,496,249,445,790,151,620,
639,644,671,201,566,933,644,767,237,084,541,382,790,042,021,598,104,970,957,
060,854,082,398,570,433,573,304,337,165,766,302,379,376,662,210,487,817,341,
784,519,651,445,024,710,009,485,177,450,712,632,291,284,782,353,817,932,950,
526,852,155,205,630,613,667,270,090,144,781,589,410,113,861,056,257,373,584,
323,350,463,127,207,282,957,748,968,350,725,951,696,066,194,161,258,551,722,
778,631,449,066,944,542,789,839,829,171,782,145,399,688,841,845,940,075,740,
880,511,366,999,563,717,553,645,967,331,322,151,578,411,955,447,752,653,222,
047,821,726,881,595,905,882,705,582,478,620,458,870,242,098,852,367,642,757,
016,361,822,454,096,479,501,589,385,697,289,831,479,489,336,962,801,802,941,
692,883,380,130,983,264,417,205,387,237,357,083,563,927,371,966,873,774,376,
529,036,119,622,901,458,562,627,818,360,476,099,516,904,631,936,964,881,059,
798,367,292,030,108,223,196,779,345,766,461,459,552,024,268,272,686,295,622,
845,958,355,499,403,217,624,316,120,338,986,986,007,257,517,959,921,644,481,
614,713,679,323,572,251,767,376,449,899,139,719,979,548,759,607,587,675,768,
174,617,392,934,036,189,543,930,045,239,126,265,117,202,972,651,754,134,981,
080,248,082,046,688,449,125,428,256,827,087,548,224,159,361,052,093,297,075,
408,595,316,723,818,291,259,081,106,722,117,016,609,366,260,164,746,562,519,
504,756,197,206,428,521,618,444,147,078,788,815,190,963,089,722,711,081,653,
692,606,369,060,205,442,274,956,056,948,446,884,836,139,489,782,337,270,675,
480,956,422,303,545,558,547,882,520,673,184,123,689,794,781,604,769,230,305,
151,945,815,525,714,680,655,706,945,396,111,661,898,115,612,249,754,514,613,
255,022,092,355,146,131,838,381,609,721,701,314,530,769,937,487,667,555,294,
055,367,409,790,485,226,335,437,104,417,085,668,460,832,168,710,115,939,076,
027,345,382,555,156,179,286,544,428,675,601,690,645,094,489,762,301,349,069,
336,958,883,822,612,729,531,481,960,182,956,190,879,973,110,840,702,754,663,
394,816,244,786,268,820,909,458,700,303,505,469,282,757,207,439,720,591,019,
671,298,475,051,562,289,622,588,394,339,704,749,276,281,825,581,154,396,804,
923,701,268,333,788,333,725,770,235,506,219,188,213,316,323,095,062,573,170,
314,008,456,924,677,337,436,907,459,429,106,981,505,631,532,107,677,496,304,
479,163,806,033,410,861,201,837,574,723,151,974,953,949,442,194,719,914,971,
665,783,293,614,219,947,057,235,028,516,366,736,923,337,124,979,070,556,313,
761,977,044,619,015,804,082,516,203,584,402,579,912,031,789,414,576,503,115,
797,640,557,275,442,829,479,747,456,974,571,848,111,804,264,764,930,713,268,
932,680,013,176,668,017,313,320,294,973,346,522,358,487,143,560,022,599,266,
275,877,375,602,406,805,746,112,274,835,146,851,596,289,796,239,512,737,314,
530,261,721,930,133,016,488,763,266,740,805,689,874,932,727,937,266,824,987,
305,725,042,349,686,939,656,267,624,649,752,600,740,849,514,604,808,931,584,
921,372,485,058,679,631,993,845,465,545,967,815,368,986,828,710,005,304,008,
482,346,924,726,245,124,465,964,322,887,740,120,759,656,722,961,515,620,989,
932,893,769,154,105,267,574,278,371,062,270,663,036,098,579,199,347,501,196,
333,302,265,283,290,174,161,813,602,266,687,125,469,493,254,034,773,525,773,
870,995,972,559,081,066,231,107,044,740,834,635,393,286,713,341,663,383,657,
453,323,548,202,394,419,546,115,536,312,338,221,717,414,701,636,207,560,924,
638,573,435,168,590,902,218,142,561,312,251,772,637,803,048,692,867,831,909,
909,435,379,688,889,368,780,522,437,362,584,418,817,281,816,866,425,042,317,
816,771,161,672,059,573,086,264,653,070,060,216,951,769,806,479,062,727,741,
150,015,528,625,386,102,166,410,278,670,470,292,167,224,039,392,982,718,664,
288,675,975,663,075,634,934,506,447,506,281,536,485,485,316,941,120,156,647,
170,044,828,829,485,427,876,831,663,424,792,059,909,368,677,270,537,248,155,
633,728,471,386,315,173,678,264,283,943,031,054,591,818,020,965,659,604,628,
859,919,425,570,800,125,281,029,058,354,437,684,015,009,641,762,804,867,723,
979,821,917,039,313,820,585,384,830,013,921,866,759,515,577,368,527,442,127,
379,599,387,377,171,443,391,440,224,175,818,170,057,705,683,473,224,675,131,
245,606,524,627,552,382,923,041,439,619,466,272,459,932,102,544,202,453,003,
353,940,411,095,136,449,695,076,030,647,428,881,193,999,146,564,388,864,812,
121,144,222,478,042,924,620,371,644,401,874,161,952,429,848,223,388,093,162,
182,724,039,500,290,500,367,566,285,286,738,340,263,113,969,025,607,948,946,
674,765,668,646,054,068,032,705,348,206,903,149,554,091,470,223,500,503,269,
818,237,568,118,789,095,710,945,911,907,423,516,772,540,224,783,745,280,023,
929,473,525,388,655,303,529,763,320,502,013,366,104,144,547,422,768,182,953,
611,996,804,460,793,789,303,075,815,369,163,055,415,304,033,378,573,532,125,
504,733,980,722,033,873,903,031,644,414,928,519,816,896,324,813,992,336,346,
603,200,823,665,054,423,845,705,746,105,171,538,069,950,911,133,720,999,952,
992,117,727,518,962,742,945,976,929,634,347,680,308,010,236,270,398,020,172,
959,485,874,650,739,068,515,635,111,989,459,526,340,503,604,114,756,432,704,
219,818,846,069,730,680,141,650,411,019,671,410,872,744,715,095,303,692,938,
387,399,665,338,076,424,655,859,202,179,037,714,548,466,428,760,055,539,004,
891,071,612,403,438,717,359,272,269,328,965,219,241,999,202,738,279,864,208,
587,226,905,810,918,365,725,809,467,567,036,974,310,125,551,656,984,203,150,
200,088,052,019,295,088,877,233,229,721,311,534,674,379,796,690,890,365,159,
995,362,134,596,109,482,510,918,954,264,991,167,913,439,752,902,843,238,660,
059,623,438,229,358,094,535,020,019,447,701,926,656,508,272,936,453,787,001,
919,600,464,803,470,346,663,951,260,801,987,642,808,130,729,599,620,596,877,
367,938,323,984,807,241,885,331,750,243,795,081,437,039,337,826,523,149,717,
425,439,494,284,693,786,338,449,057,056,661,078,458,726,942,827,416,103,053,
519,070,395,764,661,856,543,871,028,358,271,144,060,303,188,330,473,369,018,
621,904,872,350,329,348,625,311,892,347,927,421,506,597,154,934,326,820,357,
147,285,099,731,511,584,419,402,519,226,150,018,682,909,333,549,971,140,320,
821,320,823,282,249,571,627,929,209,743,600,196,914,634,361,176,566,661,869,
023,259,842,275,204,164,055,153,490,845,706,904,372,507,141,826,662,110,641,
645,976,975,058,896,463,433,177,760,275,215,141,731,466,619,448,480,477,743,
891,842,392,175,224,272,372,798,928,455,315,025,573,042,737,122,134,609,794,
348,946,631,011,254,659,592,325,216,505,130,526,243,900,612,064,020,022,358,
938,111,355,614,835,635,033,976,799,595,211,687,658,992,632,644,678,065,376,
412,107,298,576,104,149,341,777,343,137,226,331,014,275,156,217,809,236,549,
157,418,135,282,858,593,672,034,215,170,454,528,670,015,170,871,404,175,655,
503,262,436,440,257,263,888,428,505,370,447,069,500,474,004,487,291,544,040,
889,512,067,171,827,141,035,580,201,154,078,025,794,268,752,376,063,197,528,
691,500,618,658,214,570,332,424,725,697,917,273,136,728,909,762,388,047,047,
523,818,292,801,779,602,940,508,132,770,120,550,671,342,294,193,013,379,062,
518,683,111,357,618,140,819,213,130,583,541,565,042,494,217,341,091,592,053,
581,014,757,152,684,408,293,944,118,935,658,289,389,879,723,930,435,709,783,
065,674,463,993,144,423,272,228,911,491,889,555,447,878,647,173,081,799,722,
723,788,632,484,090,445,014,192,179,804,307,659,410,510,274,560,212,265,680,
904,988,053,947,641,068,766,659,109,413,807,139,896,011,861,917,413,763,729,
999,547,356,283,559,120,876,956,463,706,597,711,549,653,472,729,452,533,375,
525,698,550,371,051,439,727,756,995,289,334,513,936,958,289,338,970,798,044,
965,884,664,657,706,580,965,942,800,108,891,485,965,491,747,834,518,785,008,
724,489,302,277,650,385,836,988,412,538,197,575,432,276,271,677,135,222,912,
086,696,533,051,752,556,573,655,700,066,074,955,689,648,760,075,335,642,794,
807,016,628,760,466,851,364,225,121,034,194,736,498,872,792,049,463,721,808,
311,414,786,361,404,242,184,909,720,620,165,607,009,607,086,909,240,124,347,
205,773,550,782,807,209,317,441,291,276,810,556,681,451,332,596,143,035,435,
697,016,015,471,429,162,575,939,009,723,936,187,232,005,024,378,991,636,623,
556,839,442,704,873,539,942,318,386,379,585,984,410,128,454,592,188,976,596,
151,643,309,679,176,707,640,339,352,788,851,717,733,132,474,991,215,292,224,
976,653,990,971,732,986,914,385,993,058,139,418,102,830,693,575,853,676,847,
276,946,109,174,025,052,004,230,418,477,838,595,676,838,191,401,087,362,901,
220,949,511,397,918,262,498,609,231,372,231,427,230,961,415,523,018,191,870,
465,444,558,502,155,710,704,911,877,189,005,662,786,429,143,059,786,836,240,
786,013,834,873,010,231,031,518,012,937,816,329,282,532,210,564,670,209,594,
483,550,137,686,957,260,483,027,676,786,145,238,566,968,669,204,619,085,240,
752,127,821,670,268,783,596,027,666,208,671,999,175,854,489,075,898,356,381,
593,112,027,610,033,812,988,803,986,563,699,563,102,744,397,656,107,059,293,
819,189,815,298,655,773,323,460,046,449,200,156,181,492,079,228,148,677,048,
937,576,274,131,301,196,575,145,768,362,760,103,613,997,420,821,487,131,351,
436,345,431,913,705,742,611,579,450,330,856,506,685,602,011,630,409,104,874,
493,476,328,987,703,588,775,383,879,837,637,068,254,309,738,590,393,177,025,
524,671,112,230,059,082,374,564,282,397,777,545,229,161,701,852,681,093,311,
990,385,629,917,705,898,213,682,078,277,629,311,098,927,758,825,711,314,319,
043,759,294,028,776,070,846,892,665,114,649,429,493,790,505,358,369,339,655,
435,173,842,957,139,155,773,823,223,004,515,081,867,230,177,387,602,822,664,
949,545,710,785,230,422,084,181,480,489,410,567,441,456,127,110,115,730,708,
188,024,561,539,844,579,987,944,958,501,593,609,374,854,437,814,645,114,988,
441,781,248,347,575,932,759,616,986,832,290,052,924,306,576,116,494,950,651,
210,305,132,038,531,433,772,051,731,238,724,970,973,874,603,758,802,042,376,
155,689,230,515,205,831,804,950,385,171,437,334,889,225,128,405,188,188,634,
862,592,426,586,954,267,225,264,041,083,193,318,107,554,699,286,937,558,481,
917,347,886,664,937,339,914,500,227,732,936,514,699,516,234,747,749,909,457,
090,344,213,886,976,534,325,653,079,195,584,056,845,949,363,388,821,521,708,
305,962,846,532,174,292,217,397,640,295,617,778,759,248,920,779,633,039,939,
162,746,594,236,643,193,245,906,368,528,372,252,293,725,515,235,244,572,862,
344,006,370,492,088,181,086,323,259,301,088,187,047,391,758,689,505,157,756,
014,231,566,691,734,989,970,089,393,901,085,383,980,033,941,956,426,688,570,
716,153,081,171,630,867,566,624,183,601,960,569,480,688,293,818,967,287,563,
188,122,211,668,335,461,203,476,853,028,245,374,216,212,107,878,327,041,247,
224,760,287,252,935,566,176,633,730,470,365,442,090,741,255,676,674,630,722,
051,024,494,954,632,313,903,777,929,903,276,810,260,010,919,523,940,226,043,
137,985,302,008,870,210,565,682,763,924,938,818,401,579,139,028,309,252,309,
870,306,397,002,126,420,879,528,471,051,677,309,636,435,220,239,185,782,316,
045,067,561,005,573,918,466,559,606,674,010,512,153,481,532,871,958,384,935,
450,667,858,966,108,122,650,991,553,628,583,287,242,780,987,037,154,035,341,
516,285,611,195,198,516,087,207,146,353,334,200,636,913,032,857,877,552,607,
726,690,962,537,472,554,204,506,186,062,983,641,766,878,695,323,264,898,529,
956,633,443,017,540,040,703,675,101,477,560,757,636,227,354,562,754,523,830,
224,646,736,310,220,956,082,703,495,627,735,940,052,730,050,947,710,834,999,
815,765,885,750,954,705,676,604,419,103,968,065,639,704,639,950,408,589,077,
958,510,507,369,287,074,446,866,631,326,782,954,269,703,197,599,052,560,242,
346,611,337,729,447,333,757,453,712,823,503,572,180,301,771,524,549,030,612,
780,354,895,533,175,214,167,337,411,119,754,319,895,378,511,387,679,245,164,
500,470,822,520,703,751,590,194,908,653,705,214,783,457,360,763,999,799,921,
129,111,825,680,963,092,038,022,562,830,127,290,259,893,151,656,982,153,767,
016,896,915,485,463,531,516,372,735,670,680,125,801,172,238,814,732,048,983,
745,184,840,632,877,145,972,582,011,001,982,279,665,649,124,238,777,086,791,
404,109,044,434,664,977,404,500,281,559,787,734,481,244,391,045,381,912,161,
038,881,516,167,580,710,959,802,445,516,449,383,915,141,725,709,264,633,643,
036,962,177,716,002,337,034,918,609,473,116,278,123,571,823,231,332,500,788,
136,375,408,894,370,814,365,237,579,804,637,139,412,446,821,953,449,471,797,
349,427,770,331,448,243,263,745,579,499,175,101,321,127,637,399,689,444,475,
179,697,085,365,613,309,828,215,427,638,299,347,661,425,122,087,535,979,865,
493,800,787,359,724,090,851,022,737,203,037,864,679,506,546,630,256,495,397,
381,881,228,383,427,963,553,388,511,922,382,612,820,943,552,475,734,152,145,
369,031,251,899,321,054,635,388,490,066,338,576,088,975,821,947,997,380,853,
544,535,379,345,946,335,861,809,231,884,379,599,881,019,192,850,937,185,895,
624,504,288,872,272,039,372,293,509,908,351,165,065,162,538,692,715,520,847,
723,729,352,140,620,445,844,163,416,719,143,480,214,183,905,428,576,532,308,
611,695,160,545,850,613,119,799,150,772,618,349,058,678,816,172,420,193,499,
306,964,652,939,918,549,214,892,417,811,213,487,112,761,650,012,372,178,917,
602,060,980,617,495,773,339,176,446,822,405,421,803,576,809,695,145,067,681,
337,418,617,251,045,396,647,699,838,639,782,843,478,166,233,472,370,229,107,
316,977,008,602,976,405,588,705,437,662,318,817,886,065,052,213,184,577,915,
746,435,696,477,444,474,770,515,448,417,097,107,408,226,586,484,272,639,799,
107,039,036,557,234,100,239,921,485,000,856,336,391,279,071,375,340,401,751,
922,404,862,720,778,532,886,067,580,675,074,033,677,449,345,618,234,373,189,
765,104,524,271,358,628,596,990,919,229,044,207,768,837,020,663,968,486,999,
551,654,686,267,416,750,690,369,166,509,077,395,340,477,427,494,120,035,725,
115,351,852,677,602,082,729,563,068,723,159,969,856,593,038,765,299,328,418,
964,501,759,689,843,526,928,207,620,402,598,474,319,072,603,688,727,298,852,
475,171,434,444,332,942,850,552,411,058,090,125,905,183,543,328,532,184,348,
855,104,134,845,441,435,740,579,784,627,802,049,264,872,604,477,562,987,854,
619,101,275,980,326,247,733,826,846,893,375,046,981,428,862,915,239,561,278,
367,762,044,754,748,475,447,438,051,016,493,217,176,266,536,906,037,688,752,
501,961,795,619,152,070,696,474,186,624,088,580,175,616,239,354,403,399,699,
500,127,650,259,604,553,665,080,370,647,103,532,972,473,007,671,036,506,830,
118,419,433,086,856,131,978,117,390,956,991,656,190,080,041,250,393,536,343,
238,158,109,490,926,761,948,725,896,313,116,071,112,189,642,342,135,705,744,
160,414,131,487,090,077,303,032,654,690,991,491,185,547,662,060,771,748,225,
051,581,359,851,881,205,760,151,440,228,960,499,513,512,759,106,708,888,455,
838,038,587,757,752,961,837,610,481,364,172,954,280,535,987,597,968,416,867,
869,866,258,303,039,687,794,245,323,505,475,389,668,013,763,925,053,544,753,
388,110,941,085,127,677,690,071,670,719,320,133,768,700,771,510,723,989,478,
899,135,212,493,768,241,322,504,750,384,946,811,016,850,380,977,212,745,584,
104,098,727,969,047,295,857,105,067,150,512,657,341,239,945,726,962,973,033,
017,429,372,905,246,182,526,817,398,896,318,123,822,330,775,794,633,169,810,
936,089,475,517,049,865,293,783,392,063,713,083,568,736,771,886,843,107,704,
050,584,783,918,173,342,438,053,872,614,526,197,199,660,602,619,203,979,944,
184,899,879,950,195,402,312,437,421,848,677,410,934,988,250,808,516,459,370,
835,146,882,682,802,759,256,807,595,785,796,637,711,367,021,281,636,952,154,
879,665,016,757,978,439,688,602,098,166,014,388,907,572,550,365,186,191,091,
439,462,693,779,533,497,741,602,873,162,683,026,313,592,019,617,541,022,983,
753,865,095,772,406,753,860,293,234,552,172,091,281,345,053,720,633,710,354,
763,784,966,403,227,197,892,912,906,980,368,560,860,555,045,648,097,398,216,
389,379,384,731,876,379,989,353,735,753,822,727,868,595,030,543,164,939,815,
964,842,943,227,097,445,736,936,894,095,881,065,656,276,301,866,136,099,081,
996,259,869,268,108,547,842,839,497,743,046,992,024,798,058,379,885,726,765,
750,732,881,376,481,087,743,106,070,345,185,333,705,724,920,778,203,611,144,
931,084,717,667,555,390,107,142,876,071,377,943,288,845,941,656,413,524,165,
111,098,349,485,925,553,244,720,332,250,580,317,610,883,056,599,164,220,722,
304,223,721,409,444,754,123,675,734,390,424,598,726,142,267,052,724,551,008,
915,556,958,124,111,726,747,442,507,991,053,181,660,254,731,879,444,530,674,
233,590,810,570,600,145,555,821,926,981,294,795,240,736,724,055,805,167,444,
639,966,920,980,994,158,410,523,917,644,260,458,867,650,617,489,050,215,697,
078,529,765,723,896,860,481,393,117,219,850,828,396,104,013,451,169,567,812,
837,076,215,750,815,336,261,951,499,128,464,913,095,280,918,276,737,594,820,
337,110,611,353,151,849,817,816,145,067,726,978,698,133,680,926,120,513,634,
862,787,464,951,664,740,431,988,242,573,278,232,311,827,496,365,434,586,311,
875,270,412,557,157,514,137,300,833,107,539,691,927,641,501,406,354,077,109,
352,658,171,242,413,713,953,180,813,197,756,539,314,797,946,976,009,012,748,
625,820,619,367,437,588,971,768,114,540,797,290,318,436,398,416,398,952,579,
349,866,275,312,240,959,691,069,643,088,662,937,254,990,966,514,568,740,683,
278,967,238,808,887,482,428,666,228,899,135,907,538,120,975,570,585,982,177,
617,565,379,541,869,105,122,099,427,360,404,005,623,632,697,094,063,521,090,
269,711,393,634,733,690,804,968,297,334,766,916,782,030,610,799,220,824,887,
292,919,808,025,085,365,447,185,042,358,402,681,312,498,052,985,251,071,003,
815,053,977,562,621,779,596,817,411,067,952,590,085,970,361,418,693,811,936,
259,532,116,414,396,770,430,338,193,304,205,761,711,283,461,073,086,652,825,
299,111,436,320,774,545,088,423,238,340,934,022,668,878,016,582,229,757,913,
922,095,503,300,052,638,130,677,783,645,985,695,628,174,039,063,328,771,025,
566,523,768,771,112,705,208,495,680,427,505,008,420,708,754,674,914,866,048,
174,738,603,880,710,811,978,945,069,633,889,001,273,833,606,377,360,381,359,
287,610,396,301,422,250,061,710,541,689,363,003,768,272,513,293,889,553,761,
885,219,237,466,878,178,048,007,534,236,976,058,636,120,162,911,493,449,584,
318,142,008,293,841,496,134,749,495,562,102,052,310,203,820,895,243,566,357,
240,817,223,486,032,891,402,585,265,356,739,957,221,580,853,601,046,910,698,
761,501,561,265,647,419,648,603,004,243,928,950,105,582,216,739,522,760,174,
888,810,157,109,548,168,931,562,516,532,337,534,856,889,066,240,109,297,852,
904,465,117,899,856,245,242,877,173,697,069,647,092,646,487,120,738,652,866,
954,315,538,643,562,779,358,150,801,275,588,193,281,805,077,698,877,224,729,
859,381,102,075,461,010,526,876,180,393,378,919,461,105,028,994,602,863,054,
912,189,485,767,086,464,156,522,148,270,387,989,200,225,351,878,179,468,057,
662,639,590,096,437,845,320,351,988,455,195,321,713,243,066,895,088,423,834,
605,475,303,601,441,839,675,024,345,515,740,020,771,572,981,343,723,399,374,
979,553,543,215,809,187,047,579,582,888,799,702,524,492,429,503,990,382,371,
272,093,758,660,652,254,979,972,214,442,373,588,354,922,456,785,795,111,011,
307,857,024,412,324,430,431,855,773,656,135,846,667,095,680,228,753,763,674,
111,158,221,838,910,808,883,466,411,577,937,527,227,748,221,869,415,011,904,
704,757,908,690,333,446,373,025,938,816,293,132,633,663,168,647,365,059,837,
793,505,231,062,426,192,831,435,858,190,247,701,788,217,084,709,448,921,509,
143,872,972,351,568,241,170,310,310,035,804,360,113,217,205,603,548,394,695,
697,630,987,576,478,668,268,521,473,769,884,897,846,538,920,739,020,800,805,
593,812,053,749,708,981,509,831,990,298,452,026,369,098,509,663,547,007,272,
253,485,417,037,370,881,989,106,044,758,005,384,427,708,809,265,419,573,805,
757,738,414,467,031,016,576,737,422,900,091,057,406,563,071,262,858,391,688,
633,868,132,355,090,790,425,959,298,643,474,612,287,334,535,714,618,038,493,
171,128,993,527,450,326,201,388,462,004,301,898,667,605,967,458,194,859,727,
083,103,989,970,597,315,311,539,512,536,916,345,039,054,112,223,539,124,252,
661,812,124,320,601,461,988,745,574,400,165,106,222,144,767,004,086,859,803,
843,319,303,518,651,509,617,501,218,675,098,126,931,539,707,917,641,854,432,
929,209,923,373,972,961,910,597,038,122,481,952,724,574,224,813,384,792,154,
437,093,938,857,758,681,732,276,871,571,292,071,110,198,095,062,835,357,187,
385,186,900,436,107,657,356,220,425,603,368,692,981,379,146,228,107,342,848,
575,963,839,555,700,891,759,398,256,728,339,564,363,355,706,955,262,284,726,
548,161,481,995,580,770,921,832,883,036,231,840,905,432,269,093,990,275,413,
663,484,442,336,682,096,612,950,745,663,101,856,230,325,030,063,171,703,824,
035,427,857,337,819,948,098,197,206,267,099,395,891,466,169,506,789,987,821,
121,057,074,422,731,067,412,428,607,927,952,566,390,358,291,731,458,269,886,
171,137,271,780,915,357,995,238,596,470,871,819,922,954,243,997,592,250,357,
738,878,862,771,372,125,627,365,483,131,409,476,684,513,978,935,424,839,942,
544,120,186,462,605,312,658,257,355,575,454,496,190,752,499,164,160,282,121,
912,188,685,511,182,245,247,009,648,277,047,504,884,538,933,962,652,767,333,
503,608,721,194,338,545,302,520,174,240,661,800,554,407,040,494,796,148,727,
392,189,238,065,269,225,385,663,747,769,186,773,285,292,127,358,899,150,994,
423,837,771,225,144,321,151,616,022,860,537,984,896,689,924,124,132,681,129,
980,581,836,279,908,005,337,149,162,363,178,942,727,120,837,541,126,064,995,
274,704,638,090,829,532,013,175,783,483,810,570,082,007,676,950,228,552,556,
881,053,809,125,803,353,920,974,894,202,768,347,357,891,524,718,953,420,653,
282,392,928,099,281,436,014,990,174,758,907,604,997,190,885,597,720,606,191,
237,443,446,693,141,939,165,454,281,709,542,694,876,785,596,061,690,193,048,
277,409,856,135,564,941,120,213,424,984,249,208,666,801,838,076,432,027,034,
273,472,091,223,224,065,284,829,329,101,918,440,164,175,254,389,080,993,062,
500,762,279,619,869,538,221,146,581,565,076,777,844,677,373,925,999,377,216,
854,922,024,274,262,107,697,287,552,267,960,596,127,964,216,112,325,464,041,
670,896,472,824,424,439,648,544,381,721,115,803,012,670,937,180,468,379,722,
554,150,805,208,723,286,922,609,744,559,005,381,557,084,690,723,336,841,684,
032,813,044,277,932,832,157,588,285,922,769,426,772,854,160,772,596,391,209,
719,222,710,494,184,200,780,715,504,132,795,445,717,539,770,405,120,416,310,
494,307,972,352,243,664,005,096,657,668,582,142,290,994,998,303,396,406,602,
222,433,925,395,203,268,286,193,495,647,045,971,562,706,484,464,134,671,434,
011,831,896,581,230,678,849,083,988,294,653,846,941,068,696,426,190,358,116,
367,023,663,257,707,123,009,018,725,620,790,122,972,828,514,529,949,516,866,
808,337,345,139,310,879,165,680,187,776,908,464,388,614,350,723,542,009,994,
554,466,957,302,656,312,283,121,452,514,459,439,958,114,762,867,457,255,068,
888,064,133,375,781,795,495,869,232,628,519,111,407,844,966,828,174,088,600,
507,766,988,710,437,148,803,616,694,868,521,966,990,456,880,360,679,142,741,
253,800,660,374,068,674,582,239,186,525,756,663,069,504,759,140,777,267,347,
605,815,414,414,950,456,194,066,442,538,477,561,253,976,478,700,248,484,005,
587,175,511,772,383,377,896,989,774,404,524,057,927,551,955,466,577,634,479,
915,827,679,191,467,970,937,708,665,766,951,864,584,175,519,595,793,761,172,
946,567,055,980,974,268,010,230,817,807,462,614,759,442,747,130,788,765,093,
857,231,514,517,029,327,096,787,725,301,289,722,826,775,805,984,729,025,085,
116,570,983,943,211,668,417,861,889,362,692,992,804,431,210,705,116,787,613,
320,692,617,118,404,403,226,561,359,835,372,841,589,852,550,401,240,878,475,
964,401,818,529,050,611,706,851,199,674,157,889,796,641,940,840,480,066,343,
298,598,186,659,279,573,641,711,952,172,045,070,706,722,351,448,017,456,307,
063,622,617,256,893,170,859,683,768,951,389,274,846,697,002,354,311,016,091,
426,514,171,007,145,031,673,387,757,759,312,414,173,322,415,773,227,087,529,
998,368,211,845,187,646,820,223,164,620,978,285,136,519,323,073,685,235,976,
407,574,016,993,178,153,694,587,910,763,974,459,806,234,674,016,520,056,497,
447,244,549,452,529,323,409,414,646,899,843,163,641,825,911,933,848,860,312,
937,576,058,576,065,138,050,423,668,657,158,484,116,482,171,976,342,690,846,
049,574,918,140,957,471,040,687,993,302,111,025,698,546,761,351,826,543,558,
277,032,460,080,343,158,754,270,561,497,238,406,934,269,967,902,810,315,496,
387,821,068,448,687,390,258,755,756,854,071,769,195,196,167,378,910,337,342,
555,995,107,170,407,374,462,457,782,218,991,295,754,661,209,739,716,297,149,
138,688,494,732,446,466,360,955,749,990,794,391,852,263,233,753,569,568,655,
988,480,386,726,461,100,740,722,641,745,449,990,815,006,520,122,462,265,903,
819,854,287,824,334,509,248,579,105,249,300,422,821,040,829,597,421,041,709,
831,526,959,670,357,999,138,451,550,925,402,707,848,962,721,885,934,461,912,
159,067,521,821,255,424,401,344,716,637,587,422,317,761,523,116,997,923,685,
014,759,933,705,037,011,079,479,255,571,131,588,472,971,489,025,614,222,747,
490,240,133,176,032,304,219,071,727,888,523,117,402,653,592,984,746,139,549,
076,634,331,495,192,544,180,802,966,289,225,220,409,729,606,573,896,749,447,
486,308,311,994,425,308,394,221,042,707,257,041,554,165,771,384,527,616,450,
036,016,248,976,278,881,603,451,613,950,874,704,475,563,031,807,480,027,345,
256,379,230,744,107,627,882,321,156,471,916,937,271,244,457,794,688,302,388,
803,199,669,901,132,988,162,025,042,833,897,755,064,610,236,742,181,415,890,
098,558,759,196,071,703,751,819,269,894,849,297,625,278,231,704,211,571,264,
943,568,457,642,614,468,176,889,604,913,753,428,561,017,954,979,500,579,366,
655,024,552,555,199,619,858,393,531,309,187,221,289,361,502,565,004,102,408,
211,769,844,166,635,271,268,847,375,747,180,962,930,412,193,357,901,462,235,
521,754,640,924,735,729,411,555,293,718,011,717,488,792,121,734,546,643,649,
497,955,358,901,298,590,700,811,383,604,856,473,407,303,616,858,233,308,761,
903,268,085,896,629,440,851,881,135,933,673,506,272,016,520,638,051,723,120,
188,866,250,290,850,310,433,074,622,704,633,734,640,743,335,964,471,528,405,
164,256,293,581,964,036,977,909,618,839,690,055,182,338,422,894,803,391,470,
644,329,697,378,723,929,844,993,619,684,204,956,409,050,753,635,364,148,718,
955,182,674,372,508,786,162,947,403,232,410,897,969,873,867,497,796,857,146,
380,266,711,432,039,362,072,288,493,005,770,827,506,740,432,573,096,254,327,
569,798,491,684,802,097,699,990,655,892,887,654,891,592,415,515,428,242,859,
877,914,973,195,195,450,204,527,654,329,546,643,202,564,135,994,875,536,335,
665,848,923,200,361,946,485,820,445,014,598,228,973,400,104,586,332,572,008,
588,987,391,080,769,638,381,870,039,397,534,254,464,811,870,260,093,596,722,
076,332,261,475,377,456,806,333,133,552,601,235,108,586,232,725,649,298,370,
311,620,806,580,634,561,012,416,671,338,654,023,583,539,032,977,458,088,440,
071,052,618,349,326,256,951,288,487,296,470,807,466,281,058,001,075,559,019,
490,537,578,552,913,494,466,310,286,614,199,778,556,770,390,587,055,891,340,
432,089,575,094,604,267,198,608,016,013,904,612,155,391,391,465,960,246,887,
201,915,501,952,606,298,429,877,673,775,723,956,578,614,753,827,270,773,915,
698,245,504,945,101,974,619,653,484,852,931,162,298,236,224,738,390,192,291,
735,566,520,813,563,306,209,993,499,447,040,582,752,002,693,293,883,224,907,
497,303,182,413,985,067,660,477,387,607,392,304,112,937,123,646,013,880,916,
168,303,280,614,338,426,348,913,898,654,222,316,115,816,278,210,444,942,944,
229,300,042,528,374,613,025,791,333,803,118,035,020,795,532,057,746,926,681,
309,799,719,439,218,082,428,072,229,500,740,511,615,095,110,362,217,516,943,
127,356,309,571,586,412,933,954,537,133,855,412,511,162,482,394,567,368,692,
968,178,981,611,109,172,610,887,569,103,236,916,210,940,876,782,091,056,907,
906,152,312,698,120,278,579,845,744,274,324,339,378,538,586,854,564,709,912,
368,897,597,375,817,555,100,245,209,243,144,549,163,835,082,444,818,420,586,
362,807,599,223,954,226,972,469,568,480,808,660,647,810,699,979,647,785,877,
066,708,845,073,202,626,428,809,551,159,460,623,422,552,567,390,225,745,636,
478,300,271,752,424,790,734,381,001,441,796,996,930,066,903,737,179,661,313,
691,682,813,356,067,544,257,380,950,943,454,219,457,414,827,446,640,504,190,
678,813,051,491,977,448,857,543,575,998,888,314,737,789,506,520,678,253,262,
549,599,658,562,668,081,309,238,628,832,800,090,932,295,824,001,318,641,550,
524,420,018,483,980,453,601,813,653,274,329,441,641,115,287,974,099,397,208,
846,443,657,992,648,851,295,042,709,557,497,224,998,772,720,908,651,412,290,
006,834,634,430,609,384,551,857,149,645,899,180,755,304,553,316,257,604,151,
018,077,085,572,414,904,668,248,147,112,545,498,205,555,081,224,334,251,362,
540,382,847,167,849,896,499,770,520,017,560,991,231,719,220,703,565,916,821,
572,368,867,843,144,501,944,796,018,725,829,893,001,001,858,796,578,831,109,
384,020,582,837,182,401,908,846,415,126,105,755,323,630,253,283,834,352,106,
809,582,710,349,801,037,917,925,702,029,085,237,659,712,870,755,072,844,134,
424,106,989,840,522,203,267,983,323,060,105,017,788,043,401,168,644,856,527,
594,447,245,745,195,802,430,660,582,785,022,348,249,196,889,659,882,904,527,
722,297,857,994,979,782,386,568,511,506,800,378,349,978,381,663,483,345,008,
907,978,177,632,430,438,936,620,077,078,321,816,230,815,838,927,681,995,968,
430,705,374,237,188,072,836,466,817,997,344,486,628,289,701,166,987,938,626,
850,471,698,882,560,064,659,648,296,699,420,256,129,551,878,681,492,590,784,
327,108,740,729,157,514,715,410,540,582,760,450,052,740,817,310,868,111,569,
735,628,534,769,762,599,861,062,198,668,488,033,175,302,807,244,842,738,665,
280,708,987,175,874,645,803,789,438,469,867,935,837,177,070,402,790,482,358,
900,701,465,609,393,035,315,138,042,808,356,294,026,441,133,764,294,937,633,
077,338,139,396,888,668,126,279,767,023,020,381,025,514,381,764,587,184,011,
434,251,541,158,717,954,723,033,729,431,978,803,497,640,394,960,400,000,744,
949,205,939,432,047,528,372,353,453,723,200,249,642,606,975,546,712,669,691,
841,363,834,246,117,747,879,493,302,327,264,113,268,038,139,318,505,013,415,
920,973,128,459,001,202,298,896,326,737,347,025,493,207,230,410,380,999,344,
782,828,847,719,413,662,081,634,142,780,314,756,616,418,780,946,035,942,752,
179,887,639,289,830,515,439,028,488,447,602,309,987,337,520,351,099,267,402,
593,432,697,253,937,982,459,848,864,667,034,534,440,646,629,389,152,820,409,
803,078,540,306,861,888,014,930,997,146,404,719,516,501,209,824,145,354,994,
396,030,788,097,397,718,562,978,240,056,195,482,473,733,845,884,857,535,171,
528,462,331,527,902,057,794,512,784,935,406,934,096,499,595,187,925,294,346,
413,149,344,034,829,118,061,403,348,244,877,570,485,617,126,015,953,968,505,
554,281,568,682,370,543,530,100,785,284,893,327,029,346,662,268,473,635,763,
121,834,626,727,741,937,828,369,144,453,537,885,510,233,571,742,057,156,326,
442,133,359,226,237,411,194,567,707,159,341,099,564,790,181,332,580,495,691,
095,806,351,936,646,833,821,090,319,555,543,355,307,528,153,432,504,414,945,
419,759,033,176,791,688,901,100,024,725,750,148,893,196,888,048,024,476,549,
721,126,381,191,210,153,555,404,535,547,158,345,834,271,915,529,074,017,920,
437,868,741,807,130,759,089,925,665,862,625,410,551,561,727,384,838,563,605,
130,410,333,837,883,970,959,452,734,951,198,206,879,283,207,183,085,107,428,
519,987,194,535,226,131,298,325,715,836,800,456,644,674,136,035,242,857,999,
943,386,074,147,068,392,072,222,494,882,671,604,225,110,447,726,750,168,490,
239,425,117,050,913,089,745,494,649,901,654,468,863,146,759,959,208,022,444,
815,455,888,997,371,365,106,689,092,974,363,562,628,944,963,875,454,105,460,
950,584,021,815,377,392,416,944,247,640,299,701,527,650,941,075,201,867,762,
796,323,730,400,726,858,800,755,506,461,309,201,614,232,670,248,031,120,232,
142,055,971,910,532,757,611,413,319,672,815,264,583,874,117,232,704,328,202,
774,890,711,036,724,476,715,658,149,160,529,921,870,818,576,315,629,082,839,
673,915,783,835,331,734,037,819,340,405,509,827,536,590,251,041,646,804,314,
253,645,542,594,435,636,353,320,426,505,398,083,416,262,958,792,193,118,511,
689,332,775,861,904,974,596,527,341,497,285,956,056,196,377,249,725,643,824,
499,557,547,746,041,293,729,512,496,789,199,977,124,225,319,084,687,413,974,
777,521,636,496,308,443,837,777,762,336,560,988,537,326,164,161,981,698,804,
899,152,350,432,230,653,929,022,377,001,857,304,073,050,081,753,741,977,943,
164,429,173,373,078,126,372,688,414,202,008,103,363,549,894,655,547,026,106,
494,076,336,660,930,629,538,752,749,514,127,064,478,151,107,317,866,650,060,
512,025,799,597,395,898,248,754,507,850,126,122,573,261,745,803,020,232,274,
457,468,020,787,072,038,498,318,210,119,912,574,020,012,628,496,506,884,792,
459,444,698,076,329,716,323,261,883,663,910,087,484,107,575,069,961,796,397,
631,622,485,776,282,948,932,448,959,821,330,252,447,441,952,009,444,904,936,
976,634,961,955,324,980,739,641,188,201,861,395,599,915,205,280,937,966,681,
883,359,586,437,189,314,099,992,726,048,858,490,545,838,779,969,919,561,217,
678,708,601,621,568,748,717,585,358,375,831,240,602,376,607,024,488,394,437,
731,206,590,659,727,584,752,914,732,439,668,616,893,472,990,446,026,710,423,
839,356,819,688,406,943,130,458,599,293,399,787,111,278,704,191,017,188,515,
168,015,277,793,827,974,230,818,107,996,549,801,275,384,960,682,194,017,444,
420,933,884,564,996,769,890,899,572,927,605,089,748,971,475,897,454,403,489,
064,766,490,877,456,023,386,279,904,874,445,538,104,256,659,244,675,739,530,
842,385,936,074,355,759,662,169,147,399,006,537,406,835,011,300,287,787,619,
274,549,949,054,557,015,273,743,262,746,940,927,613,958,699,573,173,871,190,
806,997,696,395,832,022,103,650,597,128,438,308,288,341,478,800,220,544,995,
847,762,894,249,654,530,366,833,280,471,806,898,469,204,732,446,934,105,889,
338,884,351,737,388,761,184,489,030,368,984,357,266,350,709,174,692,208,959,
372,004,682,592,463,593,958,566,482,461,196,197,346,648,961,347,082,007,398,
265,718,947,824,313,922,145,669,490,997,099,049,143,115,551,900,513,095,769,
296,305,751,107,545,857,967,977,116,029,644,635,009,921,121,152,022,533,643,
550,234,537,629,099,391,337,243,124,321,165,337,946,787,689,675,958,320,952,
272,369,602,106,788,539,310,092,472,242,817,125,310,271,808,043,785,628,044,
575,126,646,659,856,366,700,475,082,053,945,254,474,480,721,226,699,154,851,
205,723,062,846,757,787,300,604,124,241,490,526,890,096,881,466,046,560,450,
688,139,313,579,660,417,656,458,580,820,937,461,059,584,489,282,539,913,677,
109,556,693,010,025,924,473,478,127,804,429,093,188,033,460,386,788,187,652,
717,584,807,774,264,668,483,207,003,424,897,347,453,775,507,286,627,470,107,
346,719,279,142,512,454,048,113,061,983,924,502,611,097,795,251,399,282,939,
049,201,358,528,146,574,480,037,331,931,260,536,694,722,974,852,813,715,617,
153,587,346,121,570,229,972,378,871,934,622,625,254,994,628,072,660,783,966,
822,929,580,331,680,208,837,063,935,056,320,794,989,382,651,249,399,555,394,
607,315,847,734,988,522,915,943,721,317,069,019,888,422,739,987,995,091,000,
489,951,805,326,056,087,925,161,078,594,851,094,032,866,417,423,261,837,306,
322,334,398,768,951,240,543,993,453,330,080,959,236,015,887,181,936,109,962,
952,135,562,164,450,142,906,612,863,317,770,888,478,765,419,899,674,204,370,
322,080,533,303,617,486,446,762,871,610,841,949,259,001,938,518,273,043,833,
682,829,696,448,650,438,014,929,510,058,569,931,726,893,369,715,085,980,174,
309,676,169,765,130,026,522,185,484,100,572,449,448,512,435,084,719,129,334,
594,273,274,575,903,655,742,123,170,602,858,943,913,282,242,437,549,688,426,
584,756,800,512,067,676,021,349,610,471,780,439,301,653,898,192,988,861,438,
521,379,791,033,534,527,185,979,182,943,044,453,428,958,985,638,396,520,482,
564,519,368,925,188,289,781,690,199,818,604,570,011,570,866,741,090,067,313,
775,407,033,853,240,348,115,842,264,768,875,338,880,587,448,989,948,642,567,
593,574,416,176,450,549,970,909,825,720,520,633,903,958,418,218,794,700,734,
243,169,804,677,485,164,124,831,014,322,730,873,520,848,177,720,735,196,496,
875,641,251,543,037,542,851,393,350,403,971,169,070,529,041,362,532,222,434,
941,220,484,954,799,459,392,799,487,981,042,467,785,955,995,600,911,847,646,
396,850,144,956,168,557,305,342,768,295,835,603,333,419,326,022,141,419,951,
867,584,659,561,404,416,806,677,663,532,594,169,071,451,962,432,763,101,019,
179,621,183,142,314,525,662,933,498,728,880,237,783,479,297,204,104,190,527,
254,777,734,893,088,504,202,858,625,204,355,467,916,246,224,090,687,965,535,
931,721,522,398,538,067,094,426,916,530,947,529,633,473,913,040,335,155,365,
431,852,885,399,844,654,696,537,482,926,963,069,368,694,630,571,628,950,139,
219,246,394,931,371,773,550,688,526,595,672,925,336,622,787,947,779,861,390,
716,642,607,659,486,543,306,304,113,648,906,997,010,038,203,270,629,525,282,
727,625,024,958,810,823,002,856,403,710,166,494,478,386,410,558,631,386,694,
591,183,742,392,999,852,880,608,511,456,875,401,720,822,102,261,635,143,021,
372,236,011,473,678,171,223,803,894,614,729,262,897,771,033,844,036,616,645,
874,196,923,351,409,869,039,720,020,198,058,413,774,439,694,940,754,325,411,
857,060,032,377,269,452,803,430,659,087,364,876,637,588,561,050,241,942,687,
053,133,732,158,821,652,754,237,285,405,476,449,689,185,784,051,033,705,156,
256,746,263,783,160,258,085,658,872,987,187,889,331,607,431,287,814,208,311,
402,512,225,078,820,317,491,520,931,504,422,452,620,690,036,194,184,863,748,
574,010,390,793,673,588,321,281,864,587,156,017,913,397,277,222,433,019,593,
383,633,841,246,027,118,378,684,450,529,133,092,618,613,612,450,325,050,745,
614,090,139,725,235,123,481,300,574,561,918,159,351,165,003,149,539,205,456,
730,771,144,103,616,090,318,919,883,446,293,324,100,110,205,723,448,305,838,
902,123,724,610,784,534,415,420,942,961,239,007,906,044,838,815,647,213,492,
125,178,130,123,477,160,588,905,123,081,161,031,950,505,535,731,963,315,755,
597,933,711,066,366,395,489,635,586,555,337,304,855,894,044,534,023,422,214,
480,309,937,523,346,634,474,917,282,490,347,720,978,458,926,600,545,126,665,
418,998,500,121,979,072,189,153,761,336,740,858,116,348,749,755,721,541,731,
215,307,135,141,830,685,484,455,778,782,571,738,586,821,789,843,786,862,098,
206,192,382,602,790,056,584,542,733,952,493,220,678,200,194,141,188,477,023,
488,527,556,627,876,651,191,275,128,137,762,696,656,441,365,106,148,331,914,
427,064,788,485,405,352,808,128,713,404,541,823,210,407,140,089,414,596,145,
669,227,604,027,738,227,310,516,957,046,949,641,603,634,195,119,449,041,295,
526,916,035,024,782,166,123,392,930,662,504,556,541,766,435,541,840,604,575,
917,075,954,602,176,205,579,729,711,104,055,879,203,110,292,274,815,705,007,
322,929,698,771,478,402,028,091,788,498,730,463,926,268,718,376,148,569,555,
150,557,323,584,033,454,124,033,135,934,157,881,419,742,708,284,737,971,467,
767,073,848,942,559,741,575,333,167,641,090,156,194,487,235,355,797,532,661,
313,805,875,737,419,623,965,295,689,555,341,540,648,726,255,508,875,727,279,
149,062,556,507,490,398,529,027,519,848,947,587,713,419,924,458,431,746,469,
532,371,604,364,131,013,749,409,112,749,939,592,803,312,431,090,804,854,742,
397,050,418,552,642,782,313,659,914,013,849,858,994,871,988,133,854,494,951,
618,040,497,117,037,424,309,626,078,100,016,106,899,720,538,892,907,288,395,
876,305,181,656,213,301,550,325,961,999,951,373,410,028,975,125,564,531,109,
226,781,202,995,507,546,234,994,050,067,502,367,978,987,168,179,967,144,029,
571,280,971,619,821,921,411,288,784,883,693,639,271,970,379,926,623,462,034,
144,149,336,820,035,249,708,590,708,303,947,836,141,037,772,006,291,811,526,
923,388,428,408,715,696,187,422,207,715,480,291,480,641,326,854,264,775,819,
545,163,626,213,139,950,756,878,109,442,681,232,413,925,284,013,854,777,482,
293,670,783,091,799,819,639,085,291,155,817,109,488,226,244,623,469,947,059,
744,291,175,484,659,457,194,318,630,897,277,136,404,554,455,311,088,324,734,
871,456,850,203,916,166,961,578,072,464,134,408,096,666,151,927,723,035,858,
005,693,810,145,860,124,144,940,039,056,860,791,071,677,881,784,629,546,771,
533,678,730,925,582,161,743,941,521,920,449,928,691,611,601,533,668,851,161,
053,767,314,027,102,283,327,972,770,508,768,340,383,822,288,541,415,419,169,
510,331,026,827,796,182,123,704,120,927,508,220,945,474,191,429,686,804,799,
521,680,395,613,479,799,245,194,045,185,435,756,116,309,874,565,049,359,852,
047,843,682,920,678,812,834,144,454,588,402,111,682,758,283,290,170,842,085,
275,002,414,108,600,223,940,573,098,155,864,506,693,347,869,467,039,373,572,
259,822,340,293,560,390,380,224,614,897,282,859,111,870,619,007,718,501,390,
602,591,994,195,493,813,877,069,600,274,607,840,734,250,279,214,149,759,729,
303,896,566,537,912,550,332,812,169,675,773,225,659,414,650,955,980,594,522,
711,569,054,955,524,193,007,007,541,630,609,711,266,732,070,922,704,158,879,
848,055,981,951,233,364,779,867,611,226,370,410,569,415,925,866,988,742,261,
998,178,185,004,984,759,970,356,679,528,007,528,506,029,736,805,108,884,117,
410,010,708,982,646,142,718,037,357,702,951,041,848,842,471,038,909,733,759,
260,524,650,359,506,040,756,402,607,251,033,034,718,320,161,659,880,191,772,
572,815,457,160,750,045,283,302,149,035,086,506,423,648,570,780,833,292,325,
425,301,087,460,912,660,560,073,418,183,955,020,707,485,727,064,263,301,212,
280,551,198,512,688,209,861,698,066,590,566,082,727,855,843,710,589,580,244,
750,377,926,199,477,405,204,304,158,342,081,650,564,505,491,924,172,917,007,
191,504,318,419,690,976,662,189,788,360,367,278,180,742,781,548,244,013,116,
386,814,462,499,537,023,088,906,564,431,500,076,223,674,456,875,042,103,389,
536,472,426,495,664,780,627,566,833,196,682,416,471,876,716,807,450,883,321,
173,025,730,922,535,846,933,481,289,076,415,757,164,928,335,173,690,579,291,
650,911,796,591,486,862,826,449,678,294,431,757,358,291,495,902,172,993,283,
229,277,084,712,922,625,965,987,791,927,589,907,531,512,696,836,469,890,754,
654,132,910,209,255,030,727,446,323,745,511,376,921,146,869,811,592,436,274,
940,185,241,549,429,562,154,208,773,088,548,869,206,370,957,395,705,281,526,
309,269,777,547,893,016,528,114,815,860,337,552,982,724,051,388,665,316,612,
677,606,920,961,014,143,583,366,087,931,341,213,411,293,996,109,458,578,192,
281,312,264,927,281,555,231,139,572,098,013,768,195,374,426,934,431,886,772,
135,568,203,809,231,866,090,359,172,443,662,962,590,370,058,253,340,108,589,
797,688,021,593,060,288,623,092,260,869,868,972,002,789,946,951,228,335,779,
435,473,529,382,648,216,976,430,374,330,551,274,095,491,925,285,575,093,410,
213,928,167,112,366,979,912,195,951,289,517,241,559,444,184,850,581,448,372,
204,153,337,070,166,014,652,668,195,009,762,459,603,351,657,218,322,446,795,
378,451,294,866,090,931,314,490,513,183,473,335,138,925,482,666,775,311,357,
103,982,883,976,944,344,359,882,938,297,645,750,560,763,904,562,887,574,420,
098,275,531,025,747,471,286,584,209,393,404,165,585,383,376,266,234,546,585,
893,945,198,680,479,264,486,125,731,650,139,404,183,208,207,315,395,597,673,
411,891,677,094,121,130,221,535,163,903,360,136,598,029,498,484,435,903,207,
431,317,558,405,179,786,329,312,928,064,819,451,030,995,779,907,161,422,373,
090,267,221,064,868,003,792,070,977,867,874,300,408,705,998,747,193,514,061,
172,612,677,096,346,661,011,626,840,301,305,000,337,954,367,535,771,088,699,
109,522,238,709,175,613,567,617,012,644,992,134,958,644,513,343,216,206,265,
772,600,787,042,259,595,396,637,165,642,427,083,093,441,494,379,494,385,642,
387,247,604,732,276,036,029,082,931,526,094,697,110,505,757,381,098,675,882,
321,630,876,464,162,509,239,371,253,689,944,694,031,771,604,204,751,622,415,
305,345,916,423,143,103,264,529,896,544,750,542,013,223,319,343,165,834,052,
936,044,391,497,440,597,831,627,297,442,688,586,928,415,234,220,229,233,449,
061,461,955,692,716,858,291,652,698,810,348,867,146,502,464,630,789,175,266,
451,269,042,655,558,814,844,483,178,885,757,023,839,591,765,368,860,637,604,
701,238,644,422,922,202,720,923,980,487,081,798,472,125,719,648,552,056,213,
676,609,780,566,973,671,250,238,483,867,159,816,376,294,337,393,530,895,022,
693,844,043,479,016,674,883,238,431,258,274,828,078,392,181,778,014,304,437,
938,028,188,453,364,377,850,669,444,119,304,931,713,965,205,105,948,370,534,
651,083,477,803,830,994,694,889,455,898,054,453,422,082,734,613,430,797,208,
512,477,318,547,484,834,229,230,869,131,914,972,374,748,773,494,613,212,545,
937,609,447,434,826,532,217,582,107,124,458,540,175,163,167,525,956,828,606,
834,175,396,409,705,224,969,334,482,209,468,206,600,270,664,617,566,771,404,
591,596,866,042,759,095,798,301,769,158,903,928,289,944,378,416,716,746,172,
141,591,197,700,696,912,545,883,135,573,871,675,560,376,452,438,870,502,476,
811,405,104,880,751,077,637,079,160,764,589,508,364,292,032,315,538,404,795,
801,217,761,874,660,487,341,799,267,891,987,905,981,787,401,528,118,704,802,
156,363,807,527,820,069,962,675,599,339,228,241,825,316,406,602,051,999,069,
277,251,748,786,879,863,987,485,749,962,368,660,366,140,359,493,844,065,548,
935,484,584,341,794,863,273,415,283,803,263,511,425,769,151,271,826,779,025,
022,970,272,118,932,003,875,527,655,168,106,380,263,509,858,552,331,246,437,
174,653,397,206,032,825,091,299,743,653,549,874,480,320,629,593,803,914,455,
639,847,594,205,685,100,385,306,328,000,312,282,848,439,225,646,964,342,582,
284,297,521,333,270,869,818,304,278,276,210,401,056,226,860,444,906,733,543,
686,132,158,378,690,417,923,779,825,742,314,495,756,936,560,304,877,903,330,
062,922,560,903,494,510,292,880,496,167,102,200,518,236,601,007,653,123,531,
531,170,033,622,652,393,066,044,015,930,122,172,889,653,888,384,197,863,869,
541,860,064,035,790,970,559,459,436,759,899,281,908,821,316,086,814,506,124,
609,714,851,324,663,711,038,788,468,437,812,872,506,612,617,171,406,257,810,
183,244,187,992,790,194,074,715,474,583,000,490,137,344,213,993,650,375,886,
530,242,374,238,566,547,638,201,136,084,529,944,187,596,833,888,098,163,775,
651,912,807,717,328,769,101,187,696,950,719,689,898,316,763,591,033,660,301,
502,596,634,576,929,370,354,363,865,288,582,114,985,315,176,062,550,016,187,
856,371,325,944,534,898,608,382,974,576,926,428,230,940,394,412,383,848,226,
076,012,415,448,755,081,358,868,249,370,178,238,920,027,213,440,158,899,938,
796,096,111,536,428,823,275,176,686,086,233,831,310,825,756,200,856,432,797,
667,519,539,095,238,802,769,960,915,063,291,201,120,058,253,579,680,842,732,
345,577,374,661,724,323,845,891,461,519,159,214,561,636,782,826,742,479,546,
084,792,360,941,662,426,190,790,646,738,409,557,670,193,716,921,738,929,071,
228,943,099,335,081,003,892,881,114,271,624,014,469,432,892,033,538,981,960,
780,198,845,593,852,358,724,601,864,979,612,356,526,701,168,062,359,907,784,
810,517,350,231,421,868,286,944,751,161,778,832,988,985,046,421,303,665,161,
779,425,930,230,767,813,479,054,813,963,167,080,144,451,400,331,886,818,639,
668,565,169,931,405,436,344,096,922,391,264,400,176,042,002,827,529,129,959,
714,637,506,328,421,375,808,568,986,387,760,596,279,235,703,549,703,794,248,
255,087,938,556,667,700,410,568,414,387,488,530,387,487,221,259,114,138,135,
348,324,137,744,792,789,280,212,299,089,611,349,802,244,913,462,027,371,550,
798,984,891,225,446,768,795,702,060,493,663,160,057,017,483,689,942,225,517,
309,759,862,400,527,271,565,488,021,728,543,415,164,532,049,775,173,778,540,
170,827,935,097,355,600,158,321,711,135,269,923,100,763,611,855,260,593,591,
106,700,510,330,539,367,586,044,690,286,835,454,563,475,249,897,663,102,832,
104,108,237,790,599,748,274,000,773,218,555,486,019,149,899,660,140,914,867,
766,945,189,472,019,604,287,085,624,708,914,602,067,590,694,527,289,696,041,
145,124,615,991,826,975,269,621,175,639,588,964,007,165,336,049,623,659,311,
629,914,885,456,868,981,163,306,720,113,098,670,245,297,542,976,338,982,709,
404,358,040,861,237,997,983,747,471,248,277,644,844,648,627,597,652,574,183,
854,268,894,203,290,723,174,693,770,825,064,891,368,789,196,708,417,253,550,
096,498,460,504,628,431,615,329,296,040,839,439,007,980,755,189,900,325,614,
239,755,437,102,257,200,815,261,476,955,978,072,692,315,610,477,727,264,857,
414,152,015,163,284,895,539,770,461,713,684,740,651,736,968,754,447,771,295,
188,501,322,375,314,071,740,457,163,627,015,601,633,728,943,153,851,863,307,
473,277,256,721,131,017,111,376,197,004,483,553,491,135,190,551,547,927,774,
443,046,190,400,135,696,969,155,269,183,648,468,163,758,219,508,285,440,361,
368,022,171,626,009,466,354,333,815,617,138,948,356,042,192,287,276,528,114,
817,897,631,462,047,354,523,830,925,576,511,693,245,771,997,815,223,483,316,
236,552,735,421,945,120,922,786,854,831,465,045,191,663,770,957,965,295,739,
171,654,711,613,780,828,122,344,583,473,868,546,443,950,907,589,778,886,281,
515,984,831,410,314,720,689,074,453,068,540,841,982,999,504,659,259,146,527,
907,896,694,731,318,380,107,943,487,502,055,870,583,587,352,979,051,723,834,
764,536,208,460,939,808,554,507,432,339,746,231,960,481,194,984,057,080,224,
847,225,679,312,397,790,360,853,778,466,822,611,000,737,072,280,383,534,687,
548,361,562,951,483,988,017,038,269,975,601,389,234,462,753,177,894,320,439,
241,593,704,333,800,779,247,965,862,050,164,652,964,968,130,105,312,372,080,
595,602,984,329,791,256,546,843,482,782,363,581,973,239,024,696,501,567,853,
473,969,555,344,542,901,454,707,797,310,376,272,091,780,934,791,724,584,515,
529,592,109,297,450,469,269,326,552,798,385,045,177,131,533,816,352,086,608,
701,752,931,821,472,006,235,964,037,622,396,742,591,726,414,076,041,611,920,
036,934,214,809,259,364,298,681,275,474,950,981,350,813,241,688,498,043,588,
586,094,981,412,308,912,830,864,605,707,274,938,561,270,818,534,894,414,903,
278,670,421,993,384,651,283,926,428,336,409,920,149,165,825,271,281,162,967,
775,219,935,115,121,753,820,262,631,940,232,018,228,630,146,187,892,906,668,
413,764,469,435,894,738,149,772,920,739,471,100,330,331,253,553,811,042,022,
046,867,766,764,237,329,867,945,805,195,301,896,433,245,202,170,440,272,857,
987,359,542,507,632,248,814,328,987,368,202,940,360,531,394,338,721,444,850,
616,428,572,170,825,175,682,713,219,897,346,823,381,053,387,947,812,996,788,
807,963,004,287,891,389,070,712,933,008,979,815,901,757,526,518,229,465,543,
976,748,466,210,326,662,755,227,411,943,801,003,810,272,799,429,309,562,231,
562,630,571,579,021,762,199,388,057,266,798,211,216,863,585,596,965,554,179,
723,094,229,359,377,987,267,254,144,238,185,973,994,820,463,819,726,973,803,
925,315,755,998,124,535,182,704,887,243,189,762,460,711,643,684,595,891,819,
887,749,444,674,001,215,523,872,493,957,858,815,920,124,805,655,099,745,362,
887,421,374,928,228,961,000,837,925,443,350,162,305,272,399,561,376,162,741,
355,810,030,924,878,932,623,329,659,151,341,331,128,423,663,917,629,217,819,
736,919,700,607,657,880,194,033,026,675,967,868,324,926,374,261,575,550,724,
730,861,669,219,129,105,786,909,651,568,106,271,004,646,901,128,966,086,371,
951,089,265,198,345,213,925,497,043,531,777,858,546,063,740,188,715,012,245,
778,735,912,145,768,327,734,532,647,366,568,682,269,276,281,917,023,501,840,
050,845,586,941,322,946,419,695,000,933,372,930,353,295,508,645,256,931,140,
039,773,494,552,519,460,954,707,445,523,762,592,529,032,897,414,191,392,626,
818,461,448,586,583,848,964,622,859,577,040,934,446,048,306,270,936,700,996,
514,427,219,989,030,525,766,470,799,124,629,866,017,090,262,576,662,640,485,
740,440,237,669,907,912,500,931,346,795,627,081,145,697,870,714,030,861,892,
766,285,248,333,879,791,117,971,657,895,548,085,582,036,347,005,892,293,940,
534,338,938,622,577,024,347,268,008,945,680,404,724,811,101,855,608,822,772,
339,792,180,557,941,899,273,438,589,332,890,747,824,581,637,879,482,850,530,
332,883,197,405,381,115,855,495,824,111,306,727,079,483,305,132,894,664,737,
712,291,127,238,084,777,852,371,171,404,077,510,102,042,436,286,873,064,947,
730,384,425,978,122,456,820,211,781,545,655,737,401,458,794,595,385,106,628,
674,172,824,503,247,804,995,189,317,988,705,276,751,591,546,662,204,962,970,
113,471,690,912,942,278,338,959,492,486,077,407,245,121,489,308,610,002,710,
336,637,591,804,289,723,655,901,683,061,442,499,503,801,590,226,037,963,618,
971,601,814,898,854,783,174,223,936,478,760,231,472,051,230,769,082,027,748,
233,581,731,300,908,913,751,788,732,078,775,028,021,886,955,079,460,801,351,
381,128,040,269,170,943,133,770,145,745,089,764,849,427,979,808,204,173,909,
817,453,385,152,538,737,161,938,435,522,958,906,135,026,160,739,038,474,658,
935,313,198,537,708,861,540,866,534,869,106,452,671,906,701,330,857,345,625,
951,375,640,056,078,154,177,162,045,482,755,446,676,337,305,091,063,243,001,
227,288,001,510,174,320,550,020,659,503,269,171,919,025,425,222,184,125,839,
608,227,000,374,180,619,354,262,628,569,313,942,900,500,144,371,558,409,531,
530,738,538,553,715,151,441,563,009,000,733,630,603,095,274,875,231,001,555,
411,366,499,841,719,485,020,570,894,356,536,939,134,639,424,792,472,084,841,
705,578,367,723,174,809,295,295,942,100,049,429,787,050,906,116,216,115,151,
979,660,552,850,355,136,638,606,390,681,124,462,874,930,268,036,401,001,017,
019,566,831,336,807,011,424,379,471,734,811,657,449,760,701,073,651,948,128,
958,207,675,078,629,252,112,793,133,611,262,234,297,003,464,482,881,716,920,
538,098,448,498,659,632,977,318,911,668,888,965,548,811,308,894,926,577,754,
709,792,000,504,063,239,291,098,344,397,715,332,726,907,049,857,139,740,586,
119,831,189,951,951,623,192,794,434,547,992,070,902,793,252,554,999,976,348,
510,233,532,951,645,536,561,749,020,645,958,581,939,506,507,162,596,164,808,
639,201,232,970,640,746,288,191,803,863,369,900,302,534,715,731,092,330,314,
433,995,028,958,175,109,783,810,373,862,687,300,745,680,730,937,351,867,212,
966,697,983,559,564,226,665,370,306,259,292,707,833,608,388,481,346,450,581,
523,310,025,696,110,853,429,054,502,139,932,275,376,413,303,560,287,759,677,
557,352,558,647,839,751,820,221,164,460,449,795,196,199,532,468,480,786,808,
075,325,946,932,928,772,592,378,256,553,386,616,031,994,423,479,531,953,464,
305,488,240,932,220,738,365,899,405,792,561,708,612,307,941,496,988,858,044,
371,189,290,066,736,998,521,491,874,233,726,761,592,487,466,834,939,394,260,
475,424,148,858,132,883,530,044,428,574,357,717,477,892,980,969,709,323,950,
690,746,898,325,188,722,735,649,307,230,274,467,151,870,268,179,478,117,053,
960,479,359,258,455,860,861,978,540,761,599,157,877,197,933,605,942,110,511,
051,589,169,177,023,246,503,843,185,860,279,986,507,293,245,660,551,743,378,
295,605,700,042,503,007,947,588,598,098,724,504,674,335,647,126,123,118,318,
992,327,963,863,836,360,311,971,184,715,407,672,128,210,129,102,774,840,299,
638,181,917,075,303,583,523,726,453,112,630,544,007,691,910,092,428,251,417,
427,099,270,369,893,269,141,800,190,756,135,314,967,179,874,739,830,140,285,
122,126,458,646,151,600,876,936,869,578,277,439,910,704,388,737,946,312,586,
145,758,809,799,770,655,885,666,614,168,091,237,550,011,273,515,543,843,331,
693,964,064,210,049,765,176,958,858,622,061,965,209,641,356,693,077,315,141,
259,224,636,654,903,412,134,982,927,350,690,259,473,004,378,575,946,687,024,
629,634,142,193,837,787,060,062,055,054,440,328,145,903,762,172,237,927,382,
949,642,457,217,634,385,168,989,159,075,723,786,648,917,112,771,467,691,514,
021,606,443,766,110,150,500,640,072,601,190,806,964,473,521,407,145,422,758,
636,883,498,723,843,492,190,369,384,440,639,685,028,805,360,695,613,892,057,
934,083,997,362,752,186,434,937,662,828,589,589,230,730,142,972,083,560,621,
342,152,779,823,713,685,826,817,908,358,437,175,603,825,500,089,539,373,609,
736,842,228,166,002,298,146,837,414,020,568,115,866,496,138,840,198,034,435,
649,433,828,168,058,912,664,673,762,136,166,969,833,831,694,231,282,721,199,
707,220,966,669,463,689,884,753,290,297,226,169,953,685,966,420,592,462,683,
696,872,795,397,455,520,848,705,557,572,447,196,859,081,069,361,528,695,507,
844,300,625,023,852,594,278,026,619,452,714,827,610,812,406,292,241,506,354,
933,931,794,034,863,067,682,324,375,337,119,780,011,179,391,570,366,801,949,
677,022,505,773,830,662,801,208,618,376,505,495,619,252,655,335,314,044,934,
347,492,134,409,799,775,918,586,586,662,890,236,079,206,118,603,917,353,085,
507,907,599,052,292,208,638,400,484,716,779,912,138,730,527,674,226,087,120,
343,375,749,856,544,888,274,838,512,724,262,580,198,252,967,367,624,649,337,
940,414,901,019,389,914,120,208,429,107,402,946,482,707,903,747,540,014,761,
669,861,785,094,709,640,010,146,826,902,683,562,062,570,546,480,266,685,607,
793,176,969,272,451,404,143,313,947,627,562,784,920,581,050,411,791,588,938,
527,166,117,777,499,526,139,875,680,044,684,132,252,332,619,466,889,805,025,
589,037,562,082,556,928,657,012,578,619,414,215,007,570,239,062,942,200,105,
708,891,339,110,710,306,286,922,071,888,582,302,320,573,682,395,515,044,211,
706,839,014,407,416,013,455,330,224,307,829,795,625,124,509,777,518,042,934,
905,723,296,753,382,493,466,867,976,758,334,240,073,410,851,188,076,955,144,
058,146,618,169,990,407,685,471,238,235,833,766,268,701,273,985,189,197,986,
117,416,045,483,394,610,695,188,975,916,231,879,402,382,371,446,651,453,201,
811,159,100,767,798,876,722,372,959,231,044,223,996,160,754,760,043,451,935,
233,834,240,149,258,107,264,267,408,822,554,329,133,738,479,379,836,269,465,
453,370,216,111,496,606,101,510,855,646,605,019,861,920,122,779,085,740,113,
250,407,137,340,648,329,747,495,083,819,565,649,941,729,147,366,857,483,857,
330,019,338,278,269,071,483,964,412,116,334,818,302,145,348,531,869,408,987,
873,073,534,427,745,495,785,871,856,673,210,914,478,802,548,574,915,623,647,
517,422,898,207,031,851,131,285,614,928,229,642,831,361,926,843,825,557,028,
428,889,283,939,673,660,604,828,236,142,731,807,598,230,133,596,581,211,151,
699,897,704,173,604,959,443,353,754,714,636,868,622,644,343,733,477,664,666,
765,922,969,294,992,031,645,729,976,376,759,690,322,767,607,385,397,493,438,
920,457,899,952,108,169,850,891,133,585,118,873,334,230,206,386,543,828,235,
255,989,834,985,604,063,247,768,887,724,838,587,322,179,242,393,478,625,884,
237,768,874,727,776,001,145,812,308,160,773,723,562,913,369,253,765,474,019,
390,100,739,001,196,114,959,815,194,550,729,672,950,519,093,216,719,290,728,
803,216,732,928,372,330,909,574,380,197,713,973,109,872,554,279,018,321,750,
900,364,757,478,409,885,648,192,416,982,878,561,188,443,124,472,531,610,574,
062,761,074,365,835,502,298,395,654,595,690,771,725,258,702,724,545,207,504,
272,820,970,627,532,377,433,019,375,342,604,921,236,595,357,195,632,106,145,
856,950,751,204,983,353,119,264,232,981,521,198,177,437,175,759,932,939,428,
839,207,508,961,644,058,942,421,678,678,596,419,744,525,967,527,840,860,264,
338,917,022,760,200,661,835,086,310,249,134,631,689,583,992,723,759,932,919,
046,836,679,273,117,612,090,752,072,672,412,556,858,155,210,889,898,321,720,
558,425,455,139,595,278,157,989,232,996,015,672,873,307,316,803,326,410,692,
051,130,218,110,993,411,963,516,106,747,266,989,307,534,674,410,479,280,763,
969,403,227,000,254,354,275,566,356,271,249,492,558,302,242,649,046,560,881,
401,386,170,971,768,112,759,824,515,653,284,213,113,355,378,479,290,220,900,
027,074,372,045,386,162,674,473,455,158,339,789,719,530,924,626,517,688,113,
699,241,552,924,865,852,719,290,494,054,130,544,089,732,532,589,759,033,118,
919,221,807,206,654,519,684,133,908,214,877,633,554,727,704,873,870,357,776,
810,876,534,105,341,118,223,378,587,005,273,776,471,995,571,171,476,772,192,
661,119,814,342,400,333,295,024,344,383,786,674,631,386,328,028,716,102,137,
949,174,651,672,939,555,621,160,078,431,121,544,363,760,730,475,169,301,002,
290,671,837,784,981,263,487,390,973,434,936,849,469,437,672,080,354,784,290,
388,421,036,777,210,899,498,161,512,090,509,774,917,852,250,875,427,926,378,
935,188,214,900,649,928,961,062,831,219,949,176,146,593,500,695,449,236,612,
507,545,703,676,940,804,243,718,365,811,620,481,075,387,762,280,371,123,449,
811,650,277,836,985,773,985,510,842,459,509,047,252,385,832,816,511,875,335,
628,620,628,855,293,884,396,071,992,997,703,232,605,108,942,437,388,976,764,
118,327,787,566,900,731,915,611,916,931,046,128,846,796,911,303,600,428,457,
663,112,633,986,983,094,874,766,262,739,960,545,963,623,966,537,612,399,315,
978,541,354,473,284,859,087,162,817,754,935,862,829,944,119,798,671,172,624,
224,080,147,875,777,146,738,883,873,895,175,121,568,228,118,205,805,798,008,
009,984,954,555,554,756,556,795,480,169,162,913,687,843,305,962,859,467,014,
010,912,337,429,805,740,119,217,032,045,472,167,479,454,727,609,319,697,600,
182,516,503,598,666,497,776,389,834,430,286,320,794,901,888,093,614,784,808,
847,090,224,900,516,124,625,422,291,851,481,853,988,326,825,829,183,866,840,
835,379,023,818,798,120,069,211,526,831,913,889,682,221,818,200,044,904,094,
601,979,822,674,551,424,237,117,893,031,714,921,726,324,766,654,600,622,696,
272,335,533,500,679,897,888,496,621,265,634,410,146,918,756,181,368,188,095,
969,011,431,642,160,735,296,402,527,622,225,992,372,510,760,578,585,156,310,
041,730,097,208,118,081,093,946,115,005,794,654,297,527,947,599,416,161,053,
309,989,014,574,355,753,479,565,537,479,031,174,094,832,752,887,493,893,680,
604,747,207,606,630,192,071,246,435,227,036,948,076,365,784,541,223,707,925,
143,272,116,886,785,587,412,803,511,196,527,266,583,440,197,217,491,250,407,
118,350,391,107,966,223,357,082,202,410,535,389,582,538,333,403,968,858,310,
215,226,288,687,932,442,428,432,304,197,266,903,722,219,215,116,270,980,025,
494,373,107,211,326,982,645,996,031,185,531,371,092,805,032,708,271,670,905,
612,683,307,110,381,564,170,819,325,142,011,823,626,228,425,577,650,878,161,
480,556,602,497,983,050,275,914,623,350,042,575,143,565,279,033,935,479,275,
527,595,576,037,597,801,506,184,679,357,210,236,636,506,675,728,920,801,830,
222,897,307,296,323,222,768,939,229,698,642,178,430,913,805,727,825,537,408,
576,159,348,262,537,347,927,622,224,055,394,591,042,538,456,655,826,033,146,
951,845,037,200,819,958,790,826,600,213,958,960,309,109,646,850,019,492,759,
721,311,266,641,865,427,496,117,975,365,178,716,172,543,550,821,693,408,139,
234,567,406,117,323,133,452,771,370,657,188,140,946,362,085,198,078,399,365,
386,546,949,373,433,373,094,271,810,409,498,776,348,245,698,014,695,974,406,
752,085,123,615,045,338,686,454,153,533,555,410,197,976,731,861,958,530,167,
013,711,571,232,654,003,769,639,839,684,857,835,117,812,235,278,404,057,581,
592,565,091,548,852,022,341,316,330,228,069,615,219,555,128,303,890,146,969,
208,377,673,166,149,370,830,309,551,459,728,197,097,348,653,392,976,425,041,
493,356,456,779,464,322,431,520,685,994,670,180,534,643,811,330,070,668,139,
186,815,723,010,157,199,888,343,118,838,153,238,745,497,568,882,724,311,922,
100,197,230,586,578,776,177,455,731,088,271,379,010,981,602,658,718,580,865,
407,757,602,194,589,368,017,590,654,624,375,683,785,810,345,879,048,407,351,
120,277,333,155,283,509,892,131,068,289,365,632,596,353,707,501,891,781,290,
110,180,688,390,876,254,581,944,542,215,390,267,163,618,691,403,465,415,680,
398,010,901,857,936,775,144,985,970,681,951,052,532,566,259,769,045,202,823,
454,557,170,839,096,239,970,554,791,297,643,255,222,765,151,301,774,417,366,
591,286,718,211,478,994,846,329,512,125,301,743,415,371,687,846,998,600,302,
733,663,993,871,126,359,440,816,660,143,899,395,689,887,493,362,879,423,438,
625,407,606,398,689,503,364,538,338,275,434,410,645,389,514,536,242,219,298,
788,123,484,888,685,752,391,019,217,770,334,145,231,190,211,186,087,820,183,
284,995,472,422,659,890,203,079,301,124,393,910,494,624,005,861,073,968,685,
621,435,557,348,752,327,601,429,619,796,608,271,789,384,339,746,504,106,072,
049,729,926,132,757,959,854,136,228,970,919,022,472,466,656,427,544,890,259,
915,160,335,702,874,165,247,504,914,274,463,186,913,312,766,039,859,346,175,
172,185,911,393,453,252,416,675,789,587,642,315,767,073,721,122,462,917,738,
469,014,528,627,903,246,774,241,092,607,944,821,312,287,646,322,434,746,783,
815,821,734,019,066,863,831,182,541,499,206,433,437,451,593,370,341,135,534,
411,530,910,108,573,675,468,496,146,655,491,695,212,076,726,691,327,265,280,
422,348,237,763,844,426,674,194,525,307,334,384,637,040,851,876,167,865,517,
149,088,591,234,513,393,627,544,945,216,417,219,929,026,505,508,925,133,336,
990,159,690,802,933,779,469,579,682,325,801,101,588,553,564,087,777,044,740,
478,089,409,287,272,933,273,066,703,356,721,450,793,437,037,572,185,750,842,
688,203,707,593,367,626,066,756,203,863,354,791,563,651,831,985,321,609,672,
577,629,484,926,941,978,639,450,014,927,772,494,868,326,108,523,204,953,483,
994,891,176,527,430,055,107,652,704,875,813,526,077,532,332,581,687,051,619,
048,532,397,161,565,584,666,131,574,322,947,072,040,119,298,600,721,781,630,
384,137,917,456,070,795,014,992,875,221,891,058,780,497,128,953,168,009,158,
887,156,372,557,915,918,091,648,447,818,704,335,589,900,729,786,760,868,307,
333,935,931,294,535,286,227,573,999,383,014,379,860,179,121,625,138,906,157,
643,138,161,489,741,697,910,837,869,971,539,230,702,982,459,055,940,346,697,
274,136,721,264,297,374,281,785,519,388,904,428,267,549,236,320,548,773,761,
297,200,828,801,070,767,274,223,057,124,636,086,341,920,586,876,632,961,980,
525,793,140,563,026,042,491,669,654,810,064,230,644,295,896,887,964,387,300,
321,481,120,855,323,413,865,041,834,376,198,116,466,623,367,224,188,825,670,
685,344,184,885,224,643,031,336,245,844,494,589,290,092,895,358,386,356,505,
362,113,432,379,358,898,444,028,159,829,206,050,686,317,211,090,583,922,157,
076,575,596,387,758,909,325,553,196,965,440,101,292,704,337,285,627,117,720,
054,490,617,135,099,804,340,799,082,607,645,664,043,404,824,667,423,734,441,
502,178,417,757,775,140,504,972,312,099,552,165,296,482,037,373,804,872,209,
281,783,522,046,956,485,655,646,121,047,123,334,752,511,482,955,837,388,665,
619,797,382,232,023,841,080,508,881,512,937,931,519,976,471,693,663,001,605,
516,474,048,840,175,930,244,083,871,730,750,090,526,898,113,202,490,616,576,
163,853,965,552,283,745,410,849,367,517,956,795,905,133,601,822,968,581,409,
729,957,025,658,400,605,779,019,982,074,401,141,196,006,603,799,770,471,884,
217,984,360,600,702,728,458,917,472,750,190,001,317,524,095,402,046,989,945,
201,497,033,175,986,745,488,243,685,279,486,300,780,855,300,093,137,560,436,
705,142,609,827,313,360,515,540,359,067,645,366,943,078,061,326,443,621,677,
517,050,665,060,742,574,531,995,374,832,263,807,946,556,540,986,861,380,533,
902,232,541,463,515,627,865,838,401,105,255,128,618,648,157,720,281,969,752,
633,303,722,097,821,315,164,585,900,669,780,020,657,044,923,747,015,410,267,
521,260,380,363,183,581,060,405,450,961,871,704,011,653,017,998,885,368,114,
566,857,030,787,664,265,138,519,042,476,455,451,707,566,701,216,652,086,194,
853,802,364,118,588,872,966,560,703,991,298,359,097,024,171,625,195,182,308,
717,046,207,105,266,762,851,689,123,113,108,953,526,852,171,366,527,874,127,
296,232,434,469,668,700,051,872,039,676,058,674,028,350,430,003,522,800,008,
295,817,331,850,947,117,581,280,424,487,692,535,528,320,497,531,672,466,466,
298,274,251,822,583,336,075,801,750,712,925,540,911,954,092,959,591,075,497,
390,649,685,545,095,850,012,115,348,465,243,286,916,120,233,848,413,636,096,
967,430,512,228,591,086,708,914,244,633,783,623,590,956,770,891,620,322,268,
870,053,553,944,848,808,901,668,082,523,701,170,847,310,814,822,634,313,203,
426,970,307,349,363,326,111,422,848,003,503,544,657,080,464,627,351,624,379,
073,505,355,194,315,215,800,918,238,263,573,770,460,845,691,904,716,466,623,
116,930,728,814,649,937,984,467,608,409,806,978,746,622,124,111,797,526,429,
016,613,342,774,582,432,870,709,763,011,947,892,665,465,863,349,732,575,264,
151,864,333,622,695,337,715,854,612,146,575,362,605,465,357,409,835,166,456,
356,473,915,438,409,519,462,170,723,338,884,673,346,340,744,355,914,490,159,
353,355,601,867,260,011,467,979,677,066,777,713,263,953,437,051,773,098,910,
622,361,963,236,231,632,156,304,823,751,581,221,523,715,882,881,674,880,394,
525,689,403,617,547,820,174,767,649,292,695,919,334,931,197,751,340,095,739,
402,403,275,331,040,838,408,532,873,543,412,996,597,817,692,464,529,347,268,
492,581,616,992,680,352,514,269,501,894,470,721,230,656,636,644,470,955,491,
153,824,738,110,808,315,810,424,888,432,827,933,116,094,463,888,156,726,380,
607,758,308,718,521,817,774,799,046,441,537,873,354,982,406,319,532,037,231,
165,597,667,902,138,273,734,354,399,001,411,022,776,641,626,211,742,399,807,
637,548,157,367,831,605,169,671,164,639,781,842,548,691,124,373,925,236,752,
670,613,548,064,574,872,166,246,030,939,292,117,751,214,338,958,764,242,152,
533,316,537,364,665,581,984,038,595,033,685,383,569,676,190,281,996,807,411,
585,372,080,301,437,809,206,445,993,393,052,542,128,378,664,301,489,330,330,
538,758,249,104,872,352,511,678,438,834,496,727,931,291,065,016,278,582,373,
538,907,598,833,660,238,382,365,793,947,656,507,082,503,390,491,290,049,832,
015,816,898,402,561,107,530,280,051,765,799,986,034,569,635,933,019,329,230,
629,726,521,080,767,320,805,302,341,098,587,057,010,319,712,459,116,160,279,
801,134,575,704,767,469,758,502,793,722,206,129,656,154,214,082,143,472,373,
191,628,957,240,722,141,277,468,076,087,522,974,729,093,706,840,242,459,425,
741,636,573,183,301,234,361,898,727,524,559,971,612,908,271,511,082,141,750,
381,316,344,723,369,677,469,587,146,596,104,126,106,539,125,637,069,115,613,
345,106,886,526,138,391,744,465,878,667,602,535,328,209,049,912,749,626,861,
393,461,403,123,720,738,312,427,046,912,517,367,544,869,133,816,063,645,262,
864,241,970,216,197,717,369,293,524,095,629,626,667,860,603,593,268,416,641,
213,061,223,951,743,974,415,938,879,837,146,165,658,099,394,319,563,606,354,
246,244,431,737,801,482,082,630,389,198,870,917,457,489,069,310,710,914,714,
216,608,674,877,438,313,148,287,264,196,530,955,577,431,930,950,238,366,472,
402,242,950,115,618,645,672,062,021,359,122,964,214,349,120,947,002,654,545,
124,268,382,587,216,387,087,089,852,993,583,855,180,033,388,911,108,081,812,
062,203,736,580,948,040,604,053,606,110,028,488,613,962,000,692,882,568,240,
484,316,665,279,583,605,339,416,785,375,498,108,874,505,579,029,948,636,608,
853,676,257,779,951,742,144,426,392,507,190,065,293,901,829,856,498,475,480,
466,897,096,613,359,038,355,906,580,836,535,427,220,767,588,133,629,726,327,
888,960,735,248,479,135,711,276,572,099,926,262,915,364,780,345,059,257,939,
549,849,784,249,609,525,690,439,999,836,054,442,607,056,862,149,838,802,228,
765,057,805,014,145,259,221,819,347,852,571,020,461,153,067,616,978,747,094,
974,649,263,446,450,017,957,128,666,386,263,104,893,198,120,280,805,340,251,
710,892,446,755,827,071,460,688,563,628,436,838,264,597,992,380,445,572,830,
201,198,147,660,116,959,807,614,665,868,736,129,755,258,205,996,629,041,106,
666,392,805,563,664,493,338,079,094,980,709,769,820,968,389,474,328,450,766,
149,584,063,842,556,683,403,253,790,635,165,739,471,785,226,592,225,850,718,
068,689,996,251,020,326,496,834,670,778,365,046,960,409,648,638,688,446,444,
863,551,070,741,511,907,263,521,483,654,108,690,402,901,068,160,386,642,404,
668,496,697,219,101,106,822,026,006,457,267,482,871,200,506,125,732,676,858,
620,692,088,563,413,812,379,129,590,823,952,006,162,948,835,809,392,871,167,
079,878,439,787,151,282,374,726,410,400,877,709,178,152,618,961,908,072,644,
615,168,422,575,413,510,709,888,873,446,056,207,138,610,461,446,023,981,629,
449,354,664,013,892,025,803,397,829,117,806,423,476,768,526,322,551,478,651,
243,324,094,099,150,651,132,964,163,265,957,479,723,157,533,657,733,539,387,
514,505,643,560,640,213,703,787,408,862,433,043,413,132,809,518,608,902,864,
038,752,575,766,854,566,239,495,080,809,716,978,574,860,808,587,416,527,039,
381,538,490,642,389,995,185,307,937,491,410,874,782,251,978,011,083,858,801,
929,656,472,884,005,520,932,604,036,679,556,595,088,318,107,466,197,575,374,
085,724,595,293,889,554,496,166,104,667,810,373,680,283,081,415,468,167,066,
794,117,302,351,401,075,678,392,611,628,290,148,721,127,839,698,276,153,437,
527,374,014,907,344,887,005,297,280,617,245,439,387,484,469,946,884,029,660,
622,077,735,259,141,456,998,924,207,217,613,797,240,972,542,100,365,595,198,
879,653,693,258,599,330,140,159,849,994,681,728,771,196,804,673,075,035,315,
813,820,595,737,549,131,074,388,865,049,902,313,279,132,647,511,534,572,165,
362,830,515,342,645,049,661,736,537,583,489,422,618,599,896,118,744,956,161,
742,462,405,916,423,882,223,510,602,264,971,040,148,887,520,282,591,301,899,
034,789,223,782,224,070,422,446,569,235,367,229,011,385,829,279,269,639,454,
786,067,999,903,759,721,275,351,995,992,873,317,291,676,396,856,229,002,952,
828,788,516,021,480,952,135,559,041,196,301,837,214,282,953,442,977,608,820,
885,960,971,880,819,456,815,306,223,644,177,330,061,889,863,729,696,491,477,
078,712,181,242,530,445,123,008,416,311,773,653,592,149,966,850,641,569,529,
725,500,780,180,946,136,369,667,116,260,208,769,483,046,830,915,921,432,903,
777,051,542,263,354,143,476,255,156,308,860,974,737,583,977,245,325,437,732,
052,163,004,002,185,293,957,708,556,278,518,052,753,962,387,743,214,515,196,
017,613,043,043,805,875,460,680,487,947,560,575,557,616,238,744,834,855,941,
351,822,975,197,636,337,865,233,116,030,580,180,277,804,350,933,576,522,055,
479,603,664,270,380,908,010,386,820,758,728,512,204,054,113,316,887,775,216,
941,984,042,503,051,939,095,016,067,817,480,921,866,221,718,667,088,696,256,
645,405,671,849,534,876,305,517,989,604,984,150,896,423,191,657,217,991,781,
518,739,903,611,272,668,994,062,491,309,365,211,763,046,924,724,792,863,067,
386,697,103,756,380,303,209,747,925,942,823,161,528,566,124,651,248,167,485,
553,153,728,263,598,791,876,926,727,882,816,557,436,704,864,990,807,840,985,
545,948,999,219,006,476,166,073,073,884,939,543,342,306,244,965,843,164,196,
444,874,577,609,491,205,986,661,135,009,212,304,069,353,219,700,616,654,836,
912,719,270,737,418,112,646,201,040,146,554,581,375,467,070,549,873,138,200,
326,014,423,489,272,300,458,450,015,798,486,747,952,145,438,541,287,747,078,
270,178,949,013,399,226,870,787,112,590,382,032,560,383,717,173,952,077,725,
705,229,692,002,908,954,087,960,299,089,342,963,250,012,354,037,809,496,270,
885,037,521,649,156,373,648,348,299,276,989,189,823,799,047,802,867,953,787,
612,355,721,460,480,968,530,631,697,663,470,707,217,225,519,583,684,830,214,
680,150,179,388,570,681,959,951,083,865,981,154,687,845,680,588,840,133,959,
234,793,347,141,482,340,701,190,402,457,121,403,795,697,897,711,214,111,548,
275,382,138,846,496,338,645,554,920,262,775,570,974,787,957,826,361,430,084,
885,578,487,515,978,936,917,592,616,818,615,646,178,856,500,715,243,246,379,
688,146,151,615,315,591,228,952,667,082,853,792,780,240,797,055,268,296,807,
825,447,611,684,771,712,959,987,091,431,310,837,805,893,855,843,676,914,309,
528,682,940,379,798,210,180,774,731,188,443,152,789,245,762,995,821,463,494,
946,192,245,590,599,310,601,992,181,824,551,394,818,930,944,704,481,114,241,
801,915,049,549,604,783,178,722,510,473,819,475,790,415,524,790,593,774,483,
930,942,163,659,171,824,639,958,276,012,623,297,672,704,897,285,311,104,156,
753,585,127,662,565,218,660,627,110,195,696,329,827,091,466,277,259,409,502,
541,306,425,871,822,766,900,283,748,179,776,767,340,198,436,121,663,314,203,
359,068,556,201,516,202,935,273,153,797,185,705,406,033,963,487,655,843,494,
781,592,538,264,376,587,864,253,010,887,256,403,309,159,795,890,579,149,342,
354,005,318,016,323,435,417,419,452,067,150,754,339,418,723,674,667,484,153,
221,751,310,986,165,344,330,942,170,824,959,210,773,421,568,424,441,591,204,
869,291,882,719,393,483,590,578,691,204,802,466,763,879,063,121,341,832,574,
234,903,321,650,955,488,909,355,572,317,791,489,919,664,256,174,128,706,014,
513,067,993,364,071,311,724,928,724,304,702,679,239,810,083,785,377,979,215,
655,866,637,658,231,734,193,286,633,330,407,604,686,470,833,390,475,462,154,
146,844,305,793,057,286,032,478,291,801,744,428,659,230,756,482,846,750,157,
677,696,187,232,414,713,266,703,246,818,348,533,141,678,047,304,660,529,819,
567,879,934,204,947,761,679,787,903,246,502,964,808,644,065,039,263,182,224,
209,973,971,121,575,262,324,933,272,875,083,345,555,754,693,205,261,210,568,
832,870,886,215,028,795,236,060,893,116,123,270,459,902,229,428,491,932,058,
548,838,021,712,884,660,919,693,097,582,856,610,044,562,895,096,542,818,389,
063,034,255,676,067,475,787,165,561,566,456,352,779,139,436,383,055,962,271,
375,352,307,420,899,388,107,341,085,903,929,202,363,669,920,888,912,229,824,
250,432,923,779,056,332,363,053,117,305,095,650,585,028,946,449,262,495,548,
778,239,861,718,021,222,632,868,516,594,581,043,712,853,679,491,873,949,054,
679,935,390,037,001,086,041,684,227,343,129,761,060,929,748,202,260,273,627,
628,799,311,591,721,484,804,338,826,646,216,467,553,573,362,408,427,512,909,
548,375,639,381,461,144,025,203,775,091,012,843,414,459,806,605,170,534,458,
425,007,601,218,933,010,415,195,114,207,728,073,234,430,549,200,893,320,082,
514,741,792,820,828,391,172,329,340,986,905,984,415,634,734,838,356,073,300,
731,587,020,105,770,249,052,831,004,331,827,695,699,893,631,532,427,960,463,
726,162,163,182,196,644,744,688,015,455,188,346,052,487,261,073,721,150,254,
190,472,210,129,384,903,884,142,099,413,487,331,267,037,962,025,079,901,957,
098,726,957,596,221,651,184,105,305,468,182,559,550,352,387,551,261,807,823,
968,031,406,356,551,846,143,515,572,718,577,160,115,403,385,789,504,164,838,
331,806,870,875,346,550,594,809,014,169,942,599,188,056,643,694,129,678,632,
513,060,034,335,400,051,975,918,276,292,320,520,567,020,391,938,086,432,873,
236,045,497,475,751,805,209,042,326,555,201,758,495,474,288,671,516,268,871,
834,175,916,652,468,805,239,396,159,539,460,395,139,909,704,626,783,775,263,
505,829,191,565,374,818,185,150,746,176,973,772,303,317,682,121,058,224,806,
307,234,591,200,072,812,632,547,799,040,130,759,487,436,151,746,045,548,633,
272,807,782,539,942,247,947,421,804,998,476,795,370,518,879,572,250,132,283,
774,963,482,309,593,989,182,215,769,902,796,061,983,402,533,499,906,558,903,
467,591,267,048,874,803,149,089,384,551,748,668,531,825,947,523,909,935,773,
414,397,390,075,308,616,083,740,231,262,167,785,310,517,268,945,164,856,550,
577,908,020,738,994,425,404,219,541,623,435,922,613,745,028,058,729,766,284,
149,976,477,449,120,165,797,038,569,878,372,932,791,400,842,287,478,610,609,
814,789,224,535,906,583,002,762,372,610,130,689,164,903,390,552,190,623,844,
687,414,977,968,839,305,505,408,785,789,291,364,101,452,684,244,356,856,519,
237,586,857,496,235,041,593,700,584,800,871,596,010,515,729,042,015,383,900,
630,555,115,858,704,699,001,339,697,703,532,512,145,768,215,273,784,072,792,
981,631,531,715,065,676,304,741,534,763,466,169,382,497,059,754,129,111,180,
026,667,606,352,791,301,354,272,797,716,845,722,174,527,964,598,211,669,206,
240,183,150,286,782,313,035,348,213,405,898,250,557,881,856,168,440,406,065,
610,139,416,408,281,382,758,280,301,987,063,809,466,083,272,997,773,760,221,
372,272,030,885,511,528,680,786,630,330,684,955,263,850,568,587,955,183,942,
929,224,377,677,607,359,416,526,071,743,926,143,300,252,702,867,325,409,623,
155,621,533,410,098,560,430,577,209,989,925,986,915,027,636,125,630,441,421,
511,984,594,058,564,454,265,307,338,569,900,739,981,971,595,238,748,157,334,
959,429,811,496,960,784,095,917,731,372,592,776,023,190,402,519,684,821,301,
722,864,844,611,420,052,198,522,848,257,953,697,293,669,075,937,293,321,759,
698,560,591,735,332,419,582,398,409,221,829,044,640,074,976,195,873,407,810,
275,242,280,355,955,385,485,439,536,833,947,060,206,418,408,263,508,151,429,
344,457,507,937,737,703,270,731,432,385,739,759,960,187,389,841,276,822,412,
824,775,901,232,561,341,494,404,790,144,473,111,462,014,284,105,518,497,570,
247,984,613,839,936,742,211,646,205,773,319,162,540,891,849,271,005,331,081,
902,048,963,745,770,396,612,349,153,925,824,139,068,136,404,356,970,285,303,
242,186,279,988,627,184,487,149,799,742,783,439,835,964,554,657,667,714,386,
320,828,703,525,116,982,193,605,194,309,652,662,651,048,005,116,613,707,905,
901,067,307,405,680,701,139,896,958,041,930,197,254,748,514,468,600,755,427,
844,377,121,349,793,059,372,576,047,144,488,177,220,588,847,609,295,086,718,
045,174,048,837,511,465,160,367,184,825,144,901,501,081,347,072,187,420,076,
646,505,800,615,273,055,446,627,351,967,725,464,192,060,331,549,177,458,018,
433,577,530,865,923,282,893,741,501,941,786,444,379,982,157,043,741,635,793,
089,620,598,484,473,134,019,426,522,242,999,773,673,008,010,365,979,787,609,
105,776,121,867,066,259,385,996,317,473,552,306,076,162,056,183,101,606,787,
544,023,503,642,454,093,385,543,745,397,773,286,658,922,320,974,989,340,363,
807,389,599,955,578,521,658,495,189,298,138,200,541,950,083,506,490,460,757,
606,518,295,283,265,040,853,037,539,966,285,778,706,703,973,359,062,174,720,
650,550,538,441,806,478,033,530,155,155,295,302,319,959,586,788,799,817,666,
138,804,857,161,878,513,107,938,002,982,483,853,609,621,747,435,395,615,019,
258,901,290,544,276,248,572,737,638,667,998,721,006,510,420,293,855,966,135,
497,126,070,682,632,126,920,537,147,194,087,805,448,757,047,070,525,176,812,
706,042,987,146,250,188,733,995,525,753,762,611,855,676,844,771,113,526,135,
362,366,979,140,479,732,053,393,342,251,054,579,840,887,524,150,288,741,531,
647,491,063,421,827,243,678,864,347,529,750,139,601,595,866,455,879,703,630,
035,160,789,412,042,475,633,579,891,680,977,868,735,942,316,142,506,954,719,
590,169,777,315,549,453,330,345,376,154,204,269,047,999,667,298,657,032,802,
655,873,578,241,346,144,788,693,114,030,295,043,982,072,315,163,941,232,772,
467,390,498,470,026,004,396,440,783,251,761,276,871,245,393,157,916,071,011,
222,058,562,986,993,580,144,754,732,348,829,219,827,292,182,922,042,340,021,
022,352,735,191,963,146,158,271,578,748,210,473,573,956,903,528,285,661,297,
847,079,598,197,817,625,978,691,178,899,109,983,930,493,994,238,211,181,400,
150,553,131,851,300,119,464,126,542,315,690,465,884,993,115,769,197,215,160,
396,867,197,770,995,710,428,854,913,688,169,595,310,441,831,606,792,526,877,
873,636,895,845,783,159,477,247,993,443,735,667,445,248,241,516,110,011,751,
003,809,101,027,746,791,900,883,676,547,801,066,952,781,600,503,326,029,589,
157,523,986,280,478,681,444,026,005,710,589,969,554,963,785,170,074,598,967,
325,055,946,576,913,537,407,551,770,556,133,519,462,925,159,610,781,602,340,
413,855,865,982,130,405,207,015,849,423,174,826,346,455,493,425,359,945,568,
334,949,965,031,242,484,434,423,522,754,943,199,702,445,399,337,701,426,809,
542,261,087,577,603,005,673,907,957,506,514,918,441,258,829,676,367,298,851,
640,890,960,819,479,962,084,245,556,730,877,706,662,432,712,943,209,514,324,
079,144,118,286,382,944,970,970,399,956,097,235,057,483,899,221,625,134,211,
667,039,726,673,733,082,225,321,416,145,638,296,285,023,970,300,174,901,939,
631,330,809,020,521,037,461,193,596,334,575,468,500,391,530,661,341,660,429,
285,236,832,258,560,494,703,338,591,742,593,949,395,722,617,804,214,302,206,
053,109,418,456,024,066,056,545,629,751,538,644,820,291,543,984,295,745,237,
768,273,073,510,420,226,515,125,583,809,670,456,164,615,173,985,446,944,526,
062,745,398,382,463,192,548,438,968,289,233,636,088,303,988,004,791,239,481,
530,126,219,793,364,343,932,277,482,651,247,005,714,914,193,554,508,017,790,
788,610,501,018,137,872,112,804,398,070,575,149,638,892,884,740,994,201,106,
032,122,058,283,002,949,435,812,942,169,512,876,497,343,551,906,273,892,734,
250,885,959,584,847,942,519,645,744,721,268,143,171,095,110,636,901,516,551,
814,187,229,910,334,721,200,058,123,658,708,805,063,032,839,133,631,671,801,
932,544,777,254,781,507,085,314,254,654,070,768,718,331,805,269,270,635,441,
225,993,673,669,777,126,132,642,485,526,228,254,669,598,226,305,984,871,427,
388,500,160,756,452,565,007,605,545,897,787,246,122,762,783,191,464,920,352,
738,533,625,832,746,067,278,436,269,255,250,812,022,652,951,600,331,742,119,
572,555,228,663,839,009,296,361,380,778,844,792,042,155,010,475,814,628,823,
515,704,845,902,846,188,465,183,637,532,778,913,839,385,020,619,897,966,465,
405,792,681,400,607,814,875,275,212,935,009,978,761,378,604,229,466,601,122,
553,926,255,944,991,522,605,692,809,470,031,816,316,626,730,125,661,288,820,
312,540,704,782,161,684,980,382,843,459,310,352,434,188,849,471,185,139,273,
769,487,068,851,059,650,491,015,853,064,115,085,757,223,383,551,190,352,295,
369,094,799,460,682,389,397,720,008,103,750,009,942,495,312,047,402,088,501,
135,489,327,969,386,881,079,577,523,282,257,555,986,126,720,846,164,529,812,
226,811,027,422,414,276,260,189,589,365,310,837,359,626,789,995,433,795,986,
327,361,446,214,275,459,718,316,665,000,363,103,613,970,665,390,003,574,206,
093,314,068,229,012,722,249,141,455,924,246,951,131,550,407,714,203,133,413,
904,604,978,367,042,779,107,154,723,661,179,811,384,635,292,171,439,386,443,
701,762,367,820,142,878,464,045,591,043,885,165,956,823,821,467,414,388,395,
115,633,551,947,451,056,665,136,292,785,915,271,899,539,037,675,169,060,879,
463,678,652,924,031,884,892,509,422,072,757,084,095,978,630,593,313,188,446,
817,847,282,826,316,066,742,567,384,456,384,679,674,390,741,624,161,716,513,
374,357,002,909,498,695,028,831,155,756,574,618,915,638,887,070,236,537,063,
827,740,853,314,150,842,513,964,258,230,765,378,506,738,511,487,166,230,189,
205,899,138,235,206,990,975,136,530,783,379,461,901,565,755,608,997,311,293,
767,941,298,879,136,600,011,124,403,443,675,153,638,158,726,428,690,663,527,
723,004,779,288,013,335,090,101,297,932,197,123,016,935,762,309,356,554,382,
734,381,332,597,955,103,044,913,493,432,067,927,643,804,999,188,725,821,460,
872,581,187,627,612,248,203,344,543,341,519,058,108,229,643,992,825,587,290,
451,082,537,145,602,991,425,589,018,801,506,926,894,846,847,195,945,652,273,
390,236,443,287,415,374,598,081,506,392,589,452,721,600,036,768,823,185,147,
640,999,544,178,662,991,957,451,264,418,307,407,242,468,964,100,064,132,819,
457,414,473,688,387,685,318,762,607,222,337,543,096,343,275,168,446,284,865,
392,147,480,839,710,344,552,687,401,203,627,349,303,623,454,292,614,789,002,
863,757,628,358,873,331,885,631,696,652,989,722,465,230,432,175,830,451,568,
396,812,096,621,205,136,706,064,152,700,965,503,948,616,605,036,673,479,971,
222,176,684,548,879,886,922,990,621,207,574,912,616,388,893,907,450,003,122,
693,452,437,696,459,351,276,050,892,566,051,941,631,832,795,698,595,625,370,
818,480,302,936,510,955,162,167,333,337,320,307,438,160,811,604,004,214,146,
088,470,585,880,868,525,645,727,574,823,109,957,835,716,170,876,915,211,557,
687,390,950,042,395,710,915,410,861,349,684,148,648,886,967,647,692,364,477,
274,997,593,284,416,755,319,965,307,889,759,902,683,973,287,502,821,754,098,
656,969,259,092,574,418,377,517,059,555,090,767,960,323,598,995,679,328,903,
104,865,877,296,512,794,185,012,116,833,342,234,226,592,288,708,435,654,263,
530,583,667,151,470,975,723,314,823,169,184,023,129,100,875,392,999,707,856,
477,353,037,577,814,714,475,463,586,441,425,525,548,228,465,214,131,091,981,
014,272,920,652,195,042,808,850,559,396,633,912,775,487,816,327,488,336,236,
403,263,200,969,464,699,705,224,869,068,466,450,686,475,270,474,856,323,174,
530,153,234,039,129,413,348,982,032,515,594,132,765,394,007,509,610,088,744,
094,775,446,816,970,984,345,528,804,877,606,501,658,100,315,101,675,959,403,
385,402,545,853,625,779,460,615,467,724,678,838,673,543,073,096,252,538,392,
976,569,947,016,274,378,752,347,696,807,682,214,154,981,274,529,429,104,562,
474,080,535,298,428,828,419,387,327,193,560,762,797,583,003,570,574,638,642,
961,305,960,602,970,152,977,694,826,470,581,058,528,868,661,993,592,282,661,
822,068,775,314,651,714,552,451,483,738,846,038,675,004,605,656,483,592,031,
831,461,741,793,286,433,294,763,086,060,768,566,401,735,037,835,466,991,270,
912,748,598,042,951,294,363,696,805,669,689,491,841,156,480,301,502,108,521,
895,054,886,871,062,940,242,171,875,678,606,556,416,633,510,090,250,488,951,
238,914,215,741,624,008,366,714,795,627,842,438,714,093,363,903,661,704,272,
870,756,284,406,153,392,409,517,360,336,238,178,948,799,535,176,012,251,422,
967,685,432,175,740,366,858,396,535,999,162,573,884,059,749,224,427,995,919,
227,858,595,350,357,224,641,845,404,574,786,651,917,085,013,446,859,801,204,
401,633,902,708,262,851,502,358,447,094,410,047,046,334,357,478,737,610,567,
057,918,751,185,354,558,110,244,761,025,345,468,115,950,315,680,197,013,982,
270,026,025,270,880,371,805,111,577,045,402,432,750,414,896,596,244,051,996,
334,044,061,456,956,020,436,467,500,882,347,420,794,740,086,323,004,450,384,
285,732,778,434,287,200,926,754,043,546,966,097,613,689,321,937,970,557,232,
802,342,089,966,501,609,450,451,440,830,634,793,642,623,216,641,843,633,841,
537,094,297,578,291,521,458,086,394,201,385,283,415,555,949,586,303,623,684,
401,099,373,818,041,941,294,551,338,352,635,361,720,122,928,949,413,342,740,
968,516,560,300,641,681,959,481,583,000,756,827,204,338,840,769,159,989,589,
180,701,948,854,163,338,576,888,749,674,355,909,871,630,504,498,101,504,242,
471,212,268,567,294,346,943,394,783,633,495,835,438,052,331,460,632,773,394,
892,674,627,388,582,922,438,317,984,151,951,801,972,402,163,807,808,319,268,
075,679,264,748,015,685,586,388,347,366,729,698,727,733,989,941,652,433,320,
132,649,775,632,390,478,863,961,272,946,218,727,117,510,184,821,385,796,657,
909,513,358,718,801,915,690,554,600,221,545,131,408,750,651,855,710,134,611,
137,863,720,292,952,491,091,146,155,471,291,833,937,203,510,891,388,967,373,
485,703,102,707,299,605,677,286,303,444,713,452,050,392,552,717,165,361,277,
770,292,465,358,304,989,986,460,859,099,919,740,882,217,111,338,249,353,974,
205,245,642,895,504,669,669,681,364,768,988,444,293,320,324,845,099,792,090,
421,384,141,385,988,339,480,401,190,334,308,721,356,724,182,091,220,317,918,
970,460,422,686,492,054,630,296,417,283,377,545,374,607,701,761,700,555,403,
118,577,081,259,111,774,099,644,083,272,611,089,691,686,156,721,551,068,117,
478,263,578,648,925,821,251,406,206,929,229,862,592,994,332,846,804,037,435,
043,605,935,109,094,712,312,676,169,971,407,873,335,697,653,966,746,378,507,
304,405,753,286,873,869,135,216,004,001,112,938,920,035,828,811,259,985,395,
224,448,753,367,979,514,448,887,098,485,940,113,381,116,236,687,813,159,359,
364,794,141,563,504,491,970,562,416,972,793,060,949,964,910,386,596,525,074,
647,060,558,555,415,715,649,951,058,437,023,500,118,313,977,555,655,089,467,
702,928,182,538,857,816,793,560,728,495,398,325,498,232,905,802,758,271,542,
791,893,269,105,723,478,821,396,431,481,894,937,935,574,876,542,009,022,180,
954,350,235,063,333,132,452,360,554,358,319,160,822,314,775,962,722,624,872,
271,414,134,420,235,527,996,223,518,588,153,825,938,839,487,528,511,024,924,
140,109,908,094,587,501,116,237,176,994,899,033,698,609,145,755,383,763,636,
829,014,808,845,056,729,425,493,032,736,108,432,210,923,040,130,972,233,905,
951,524,334,047,114,282,934,656,164,032,297,258,518,843,162,392,641,756,792,
365,989,297,355,092,585,072,161,723,944,121,783,363,079,059,691,654,610,293,
409,699,832,169,589,278,778,397,075,458,187,064,503,028,276,377,297,688,801,
509,563,065,864,650,914,315,169,632,795,409,461,682,488,649,632,824,455,842,
316,856,939,407,647,553,581,983,334,725,738,671,053,149,443,263,706,738,057,
717,032,183,517,371,408,180,088,902,510,542,008,694,094,482,036,744,169,323,
987,229,550,923,308,432,595,232,669,890,546,550,473,394,559,877,386,832,075,
585,394,000,473,102,084,721,114,041,299,945,426,929,234,156,267,649,169,825,
216,862,773,491,056,088,914,981,510,438,922,920,054,910,493,877,060,413,934,
515,519,949,275,664,043,059,379,157,849,125,201,617,115,476,310,618,709,211,
084,621,663,763,113,465,070,986,399,106,554,719,701,706,267,831,924,392,953,
839,449,634,007,666,920,314,604,054,937,903,820,494,369,530,348,507,063,733,
098,964,460,087,089,758,409,419,664,110,779,696,740,505,168,643,922,365,333,
210,522,165,257,718,538,526,054,937,771,169,936,241,285,875,706,105,997,373,
988,942,553,460,211,342,413,574,603,456,399,950,464,401,306,815,616,761,793,
440,110,745,956,397,279,281,972,495,927,147,564,134,963,525,383,442,136,408,
220,491,281,662,424,684,263,997,533,841,325,804,941,704,333,792,437,117,167,
360,712,266,693,597,908,633,572,218,427,934,451,792,681,835,519,052,114,285,
684,227,393,231,071,718,926,763,022,231,573,314,679,703,537,928,372,462,712,
838,134,326,842,954,404,505,163,715,468,960,336,966,606,702,602,944,459,118,
506,628,816,368,755,164,199,510,957,714,881,354,940,776,654,831,090,568,774,
360,201,190,347,266,316,234,850,951,571,304,765,944,913,538,154,095,346,423,
523,013,706,961,158,253,526,210,790,441,344,099,855,474,287,723,591,088,020,
346,987,223,586,543,362,482,870,642,696,747,156,912,972,750,188,924,017,424,
091,069,154,297,236,514,284,351,297,275,360,342,212,869,968,041,516,356,065,
632,063,683,724,320,521,996,245,931,828,211,701,305,329,270,115,676,568,609,
074,253,525,628,359,854,559,426,850,705,986,109,890,859,680,718,617,953,180,
356,375,001,444,122,452,919,729,254,044,990,604,048,320,611,476,330,082,511,
447,746,398,340,645,119,703,890,444,691,201,510,638,443,453,777,789,191,697,
894,831,060,270,840,704,546,738,663,875,441,441,939,070,162,558,555,473,910,
510,773,707,657,806,411,935,019,587,672,041,283,850,104,333,843,975,972,870,
148,040,360,350,895,496,174,662,003,434,093,614,792,319,326,078,896,415,542,
591,770,040,933,937,648,424,043,942,159,210,777,292,273,218,563,896,182,470,
496,344,201,758,768,470,301,441,434,514,560,203,356,947,465,103,888,326,593,
830,619,356,133,436,220,448,784,683,056,743,309,914,374,082,917,173,939,145,
393,947,521,919,238,103,599,764,930,133,850,732,625,412,951,627,455,363,555,
978,683,042,211,196,381,428,892,505,965,718,455,933,901,317,709,686,030,651,
872,696,792,812,504,939,623,508,534,500,635,540,767,612,361,950,328,433,985,
133,626,944,146,699,069,217,510,412,761,923,669,391,358,597,386,537,272,312,
498,509,708,545,709,077,549,293,871,793,307,282,389,712,031,520,705,104,070,
172,883,471,776,727,212,084,080,463,750,116,398,080,914,529,193,528,503,458,
072,496,067,265,424,259,679,373,436,457,450,073,094,438,756,971,040,639,017,
528,982,175,067,926,939,705,068,832,957,025,670,578,754,613,718,486,222,755,
603,779,357,098,532,062,951,143,083,547,570,544,123,591,855,040,484,502,759,
400,914,998,675,771,561,776,387,303,382,767,200,411,477,985,671,346,694,664,
626,255,904,001,006,848,365,525,021,131,986,243,248,630,022,853,007,851,304,
618,979,657,900,101,030,102,016,951,428,135,533,599,910,175,124,814,514,720,
940,566,299,170,978,675,020,017,302,809,397,905,343,149,541,901,239,821,664,
252,785,687,053,229,344,633,879,220,018,236,452,823,522,230,904,112,760,841,
313,439,069,851,262,784,821,801,123,101,258,565,966,809,380,373,317,429,702,
975,867,113,059,829,534,888,275,324,955,645,548,054,949,824,206,177,842,944,
168,308,183,577,550,258,527,098,080,573,970,352,940,349,730,895,457,250,179,
774,383,206,610,182,116,019,451,111,993,553,528,897,040,478,611,226,423,562,
112,338,583,730,739,581,812,265,352,092,478,055,203,959,136,234,010,433,866,
544,906,965,027,064,664,083,949,191,536,042,051,139,818,039,054,077,942,446,
907,771,370,160,209,556,493,350,531,488,991,417,988,684,813,163,717,957,963,
228,919,262,200,060,325,525,425,708,230,819,115,135,323,267,855,049,007,387,
156,253,403,227,993,742,455,790,767,760,766,089,203,760,036,995,354,119,782,
198,502,692,455,135,416,758,549,064,865,320,795,371,002,386,852,313,530,782,
238,764,492,553,821,489,398,933,115,471,578,335,215,724,064,537,861,685,466,
354,503,839,586,390,823,610,530,395,255,802,553,712,518,126,962,558,760,715,
654,450,936,728,385,481,149,267,202,381,140,946,357,955,901,912,366,537,528,
822,742,586,747,525,003,886,680,410,598,387,558,610,858,073,466,452,394,315,
232,864,977,950,072,527,643,226,892,617,122,824,091,494,600,837,296,512,398,
626,207,936,645,693,098,135,715,748,819,087,395,616,102,658,980,615,787,438,
466,816,867,479,020,388,753,019,506,529,886,218,136,494,775,431,593,932,892,
799,171,598,115,965,053,201,843,200,496,778,198,201,246,082,570,297,248,087,
371,936,259,708,883,427,159,521,251,448,761,615,201,551,189,785,689,823,240,
909,113,567,644,520,961,147,739,010,555,151,072,926,164,706,929,951,600,274,
409,276,305,819,489,488,759,293,102,821,238,863,766,140,853,180,039,128,222,
102,498,290,969,033,884,099,580,169,386,839,742,407,209,494,391,938,130,559,
824,649,325,048,154,427,896,973,356,230,446,813,217,501,442,863,221,579,469,
971,888,434,595,481,909,383,152,191,157,048,248,968,645,501,375,863,750,301,
777,606,004,320,756,863,857,603,902,546,391,466,557,497,026,891,762,779,324,
715,285,060,933,336,651,840,071,449,358,247,203,400,394,027,766,344,595,573,
871,035,963,608,141,870,727,931,026,160,122,840,492,715,607,227,528,882,942,
564,686,766,729,168,792,641,987,699,614,157,071,647,943,696,677,793,195,947,
572,378,353,590,875,820,659,005,402,812,325,358,261,404,752,320,573,272,202,
611,352,802,739,340,139,882,031,267,176,197,096,065,235,409,219,784,172,756,
712,768,019,772,461,784,638,558,690,228,156,656,629,409,889,199,631,637,543,
805,189,686,022,279,514,830,735,172,521,308,843,731,941,550,457,598,311,223,
550,729,614,671,390,883,490,394,321,968,628,742,515,070,318,671,409,008,282,
411,284,141,054,625,504,958,819,148,908,300,678,962,533,185,896,971,217,660,
417,036,293,078,287,290,753,799,853,240,236,571,772,193,390,837,222,742,269,
130,136,332,030,086,759,946,096,809,622,044,917,334,419,154,903,264,334,655,
438,386,063,320,659,849,134,640,186,012,955,244,095,369,057,496,288,564,948,
965,652,844,594,874,961,458,532,889,920,822,106,467,749,721,279,948,212,873,
489,965,646,522,191,353,308,018,792,233,256,172,768,112,966,940,344,263,381,
836,806,569,401,263,869,841,487,070,685,809,482,856,573,967,677,475,370,804,
212,639,479,449,206,713,668,586,564,292,004,187,894,685,607,529,788,144,484,
996,066,184,672,551,707,054,913,696,166,778,599,678,029,026,208,073,961,141,
169,684,987,252,079,319,468,788,857,611,027,990,936,997,744,230,918,471,695,
820,650,801,092,443,500,759,176,151,994,684,804,861,183,264,023,890,428,996,
332,649,044,803,786,593,946,119,366,982,979,580,700,895,087,018,442,345,525,
628,799,001,456,462,584,019,370,910,035,016,009,375,643,222,757,600,513,425,
201,287,389,734,485,872,510,067,447,429,955,159,336,644,728,170,953,768,854,
213,130,178,890,044,301,789,534,567,675,316,224,774,010,011,455,719,761,718,
165,937,396,456,965,485,744,746,803,242,369,096,287,270,824,159,461,290,282,
943,698,261,793,133,041,695,570,053,131,478,281,289,711,872,597,453,392,012,
731,646,558,948,857,714,295,398,442,574,676,335,140,257,889,990,995,815,090,
245,554,446,158,592,240,433,801,527,844,442,446,320,735,467,221,930,370,405,
794,646,151,941,336,884,358,752,305,622,010,264,576,894,077,974,901,672,426,
087,827,164,580,475,799,450,434,703,636,360,448,942,311,370,108,791,125,718,
983,777,629,616,050,241,948,262,725,526,891,340,752,919,907,013,260,096,398,
869,599,342,437,994,157,957,177,791,192,694,479,222,820,348,457,471,005,417,
581,058,042,586,809,563,837,302,680,444,045,386,124,547,818,865,014,655,305,
724,588,052,938,107,273,419,161,329,615,783,593,019,667,378,065,404,571,279,
794,256,635,725,349,718,308,330,500,074,527,643,929,587,806,737,410,739,540,
479,466,195,853,803,388,807,759,173,776,607,603,278,714,814,681,116,604,481,
363,965,271,900,569,132,615,853,880,837,854,218,162,031,017,246,071,873,383,
185,618,251,207,985,945,455,989,536,092,811,645,508,141,961,150,502,671,488,
236,045,938,684,611,820,541,503,800,352,033,989,432,103,809,189,231,257,856,
220,959,975,289,277,301,881,350,502,123,688,674,805,677,703,349,634,495,098,
421,143,320,231,381,813,943,723,971,704,112,333,236,379,950,177,023,553,128,
557,025,498,693,392,685,074,614,868,356,390,938,168,750,287,080,650,685,615,
108,208,690,531,750,866,367,085,784,498,233,302,900,837,799,948,695,014,877,
568,930,370,513,902,974,443,631,289,300,497,740,126,828,862,415,441,392,377,
855,422,224,089,206,041,095,583,578,830,436,831,141,680,595,830,936,640,498,
088,264,084,031,654,713,493,843,260,729,293,708,551,006,788,486,600,522,101,
808,952,592,320,966,929,949,972,173,586,208,071,202,994,820,061,921,614,066,
073,506,179,739,036,401,473,250,406,114,267,088,150,337,293,145,947,119,360,
332,778,829,270,820,048,404,203,287,659,266,246,887,424,422,375,592,945,798,
417,373,187,385,228,135,011,805,850,519,657,115,691,342,816,836,494,647,505,
444,412,642,233,904,893,709,791,667,338,072,916,659,897,552,036,336,668,272,
890,270,441,018,429,136,789,884,172,648,725,325,729,995,757,009,850,388,242,
398,482,680,651,599,535,149,849,271,923,441,186,309,111,082,316,795,513,320,
779,868,310,014,543,578,790,035,381,535,260,566,555,455,478,729,868,890,018,
903,385,878,157,929,158,236,817,205,407,619,725,085,847,577,604,470,821,766,
402,479,018,920,093,695,640,115,007,198,238,554,770,234,359,222,286,861,188,
972,699,409,602,995,537,520,831,794,462,197,415,386,801,010,565,493,824,051,
942,811,770,922,515,994,198,657,024,933,301,510,376,246,958,853,498,040,989,
410,843,746,825,436,926,384,223,949,748,090,788,296,726,957,115,874,957,575,
149,018,897,241,140,789,085,554,156,687,177,006,839,610,793,207,222,436,627,
561,058,787,046,586,227,283,961,326,357,492,360,766,602,754,134,248,788,398,
970,990,739,967,800,817,134,221,354,500,496,763,593,245,631,811,719,745,418,
703,673,986,936,263,999,351,161,272,387,799,613,226,622,883,657,803,747,881,
948,917,752,364,378,010,064,174,321,060,403,317,838,797,059,471,095,867,080,
965,972,808,548,191,611,399,545,158,502,429,136,395,622,164,057,992,666,978,
432,385,114,596,823,912,294,806,983,950,636,879,916,706,945,849,654,628,865,
056,147,624,138,753,971,508,189,081,015,611,980,939,587,469,927,430,587,556,
282,484,975,203,649,841,109,659,566,674,019,493,771,333,413,875,145,548,492,
244,857,311,258,302,369,167,101,574,015,980,202,863,063,628,608,973,896,407,
243,766,512,313,833,724,962,563,537,087,782,466,144,081,469,425,175,001,242,
289,870,300,005,048,762,699,758,742,813,803,697,215,622,868,048,256,572,956,
514,383,132,916,423,589,660,607,024,678,918,684,229,172,315,717,589,073,052,
545,747,194,016,066,247,483,596,147,333,328,755,217,742,823,040,188,362,773,
692,763,115,947,597,616,357,892,788,197,612,790,142,163,508,802,975,382,129,
013,356,425,527,599,130,195,074,485,371,829,381,876,889,367,843,958,397,396,
292,644,593,259,076,886,579,297,931,977,354,719,011,103,215,083,658,900,621,
399,007,887,786,292,816,930,029,352,037,585,159,996,918,396,423,665,307,429,
368,486,174,044,292,026,181,489,235,062,672,625,457,934,375,922,377,118,839,
326,813,036,685,158,674,710,825,668,420,496,771,170,644,780,489,353,955,864,
847,327,533,738,149,184,461,320,397,485,053,387,024,777,531,641,010,477,350,
248,382,772,867,376,811,453,003,107,752,418,848,613,370,633,491,471,781,063,
885,945,435,998,670,402,981,171,864,118,062,746,625,253,582,526,215,053,753,
938,571,563,210,959,263,470,418,854,776,450,453,427,933,296,028,328,006,776,
250,385,795,604,675,785,931,313,925,587,349,650,060,635,089,176,268,453,794,
434,864,440,273,037,681,257,359,777,124,082,876,161,371,318,816,142,976,745,
837,661,713,739,127,976,207,978,292,494,493,578,378,512,611,720,591,957,376,
426,443,572,200,434,775,149,758,970,454,519,751,156,258,261,324,455,107,192,
435,574,055,542,208,136,363,573,770,429,126,152,499,496,012,730,071,269,107,
238,298,789,737,601,877,447,001,756,544,169,786,691,599,885,946,858,312,780,
505,490,710,495,662,471,090,532,113,806,416,159,343,790,084,799,843,652,795,
404,094,395,476,055,409,442,732,759,517,643,832,248,029,413,376,143,213,464,
119,576,784,204,704,687,868,433,490,277,170,562,282,610,967,872,927,973,417,
712,416,628,455,776,962,547,553,505,230,842,459,373,929,509,302,405,523,508,
522,634,034,549,332,740,102,468,777,087,504,794,944,739,581,780,762,190,856,
165,382,104,317,877,174,026,659,570,541,401,452,280,824,970,599,917,278,073,
430,769,745,081,402,377,650,642,290,194,973,296,684,131,452,060,071,677,277,
696,603,691,134,295,331,563,431,169,779,584,140,407,015,080,258,442,966,975,
342,792,491,806,689,553,764,305,532,095,113,316,661,257,611,335,736,708,716,
967,774,433,142,255,596,892,719,590,103,058,382,282,851,993,054,369,238,189,
398,445,424,801,727,517,547,190,455,192,249,513,436,250,316,376,245,911,305,
267,399,599,391,252,378,261,129,889,475,823,357,342,592,595,667,461,323,623,
515,310,831,765,492,419,854,387,895,774,569,447,041,048,868,558,833,112,634,
049,122,086,454,844,253,702,128,396,602,872,627,204,629,711,092,058,749,874,
719,815,195,752,762,510,270,037,620,333,349,674,800,068,037,793,888,611,111,
112,113,219,176,734,921,467,742,965,820,076,178,102,802,576,081,527,568,164,
937,741,894,341,516,512,761,845,686,068,061,492,832,553,698,410,631,867,392,
867,918,166,838,581,538,164,414,293,364,360,059,742,787,721,033,909,628,275,
021,959,814,874,432,838,628,950,264,258,875,542,203,646,859,213,061,302,044,
988,557,082,091,721,173,199,770,271,503,602,347,148,665,900,143,077,934,835,
659,851,469,611,921,177,401,415,957,684,627,612,087,765,261,255,943,373,924,
397,264,907,620,421,912,630,440,309,356,408,517,372,454,514,923,343,238,655,
773,979,404,299,920,672,588,203,171,644,502,125,112,070,809,511,788,435,571,
097,674,876,451,415,041,474,421,475,883,309,185,304,554,025,503,414,741,075,
419,064,579,109,313,499,008,594,802,910,399,307,856,735,351,616,240,836,443,
055,146,063,272,316,663,149,738,342,997,091,082,903,390,704,791,552,600,180,
669,982,631,650,920,593,595,180,743,919,261,512,888,972,111,061,632,492,668,
926,351,731,950,611,255,452,955,478,626,529,101,622,708,430,423,429,622,370,
239,542,625,523,625,840,927,956,415,270,290,392,623,137,197,455,371,995,393,
309,196,827,213,206,163,566,525,042,981,094,030,023,969,467,680,994,141,141,
592,853,615,492,284,962,439,626,895,825,158,232,009,815,977,786,439,791,794,
920,761,080,196,512,453,491,582,697,143,836,876,150,181,028,074,924,101,983,
924,593,913,606,096,438,363,235,162,958,971,679,003,713,237,229,908,252,409,
626,974,487,888,094,131,813,987,532,875,286,483,688,701,278,339,909,997,617,
774,310,044,257,311,450,994,341,918,482,732,896,256,877,146,565,126,424,137,
679,883,304,772,652,749,944,703,311,034,618,250,886,478,868,900,347,616,685,
034,220,373,311,864,747,831,181,946,225,470,967,988,381,339,175,403,260,053,
553,919,832,742,925,538,095,531,244,965,216,246,787,782,840,756,309,894,571,
070,299,768,806,868,851,766,148,809,861,592,000,684,496,143,383,601,121,848,
951,288,497,827,671,801,167,970,634,830,261,921,281,560,914,253,103,410,858,
678,806,817,295,489,643,662,616,728,247,197,757,382,353,428,343,928,583,282,
668,186,564,655,354,078,063,046,243,277,008,636,056,559,484,610,630,790,256,
678,404,407,483,026,407,412,638,814,506,497,280,749,265,848,009,375,252,202,
483,787,269,491,462,160,281,687,394,091,563,547,643,269,684,425,980,430,501,
568,316,110,008,179,064,014,961,782,443,032,390,555,257,112,208,309,109,157,
985,591,533,796,210,463,940,382,500,715,893,778,596,054,099,073,171,039,764,
983,942,330,762,739,387,931,948,797,815,632,786,447,389,136,876,094,523,737,
967,694,455,786,010,194,164,682,788,085,998,146,557,451,999,405,940,280,218,
439,118,367,835,270,753,906,192,696,922,148,391,923,276,944,054,139,469,893,
650,040,784,379,231,532,632,995,986,537,429,405,693,381,661,219,662,499,284,
004,268,270,110,311,354,400,276,135,438,320,003,633,935,835,296,119,279,591,
132,451,028,902,034,314,028,368,649,221,028,629,152,505,066,453,898,447,767,
444,801,040,217,049,925,336,104,029,008,871,810,975,683,401,555,151,102,853,
701,418,182,515,913,186,071,213,165,059,022,950,421,030,320,233,390,722,210,
181,500,742,044,284,543,265,747,462,820,071,198,859,416,708,843,359,561,597,
265,587,159,534,903,891,293,560,777,036,613,017,907,338,873,388,826,655,188,
011,986,559,667,436,481,541,378,478,169,742,889,658,915,334,124,741,722,951,
418,265,777,568,865,971,884,083,388,782,386,815,332,174,229,900,201,407,463,
209,582,690,781,139,870,048,523,012,305,734,166,066,656,861,181,258,828,737,
585,553,084,307,365,040,740,306,650,740,948,828,341,977,974,965,977,435,063,
715,506,844,390,349,825,057,386,025,677,735,302,892,618,710,163,966,804,364,
202,637,689,203,116,499,014,783,384,948,868,444,838,102,367,208,847,146,627,
434,422,550,330,264,839,302,000,552,423,819,129,507,346,802,813,076,807,579,
588,566,777,115,972,556,463,202,847,945,951,727,108,413,328,379,261,053,114,
253,373,215,631,869,391,075,268,765,191,853,428,979,545,069,955,685,579,700,
786,809,303,703,561,595,463,183,938,258,118,499,423,041,090,301,423,378,860,
468,855,823,728,484,064,400,839,191,026,670,292,413,117,978,419,414,468,193,
447,690,624,707,053,703,544,866,653,352,792,038,964,790,030,824,561,786,778,
082,064,296,392,221,419,120,688,322,616,563,661,278,332,243,902,730,314,249,
161,036,972,417,536,869,691,292,621,661,699,291,395,713,713,438,868,912,831,
565,621,337,938,876,202,734,840,605,821,482,563,067,197,928,743,928,863,819,
241,505,529,918,186,665,638,912,717,224,076,800,829,133,764,883,703,177,696,
644,541,785,490,255,820,737,203,010,884,843,901,071,998,467,478,511,491,097,
404,359,762,346,400,126,317,313,488,143,289,148,349,666,182,148,569,590,229,
130,513,376,407,560,077,769,305,858,682,515,254,554,436,802,488,814,341,927,
234,541,282,533,690,370,980,069,343,300,279,597,990,208,959,072,806,261,810,
754,912,577,586,136,262,502,751,985,154,374,863,511,370,953,477,332,265,716,
798,173,981,567,169,905,996,509,955,746,515,372,145,247,215,807,952,375,250,
883,248,945,289,633,724,016,320,236,845,447,866,096,756,614,029,925,907,645,
780,535,654,424,458,602,591,770,782,335,815,128,993,835,438,451,157,058,862,
876,705,920,422,808,135,159,786,128,413,817,862,289,465,264,668,299,968,381,
758,863,974,616,538,732,666,695,597,068,310,239,506,502,843,723,332,412,997,
841,507,812,219,015,618,029,873,829,211,591,355,618,316,251,465,068,317,271,
917,144,845,877,757,179,385,864,834,279,930,706,560,274,423,386,553,548,644,
100,052,471,113,688,606,250,246,280,407,244,362,241,129,252,117,517,024,260,
234,065,429,719,207,525,410,239,084,938,300,142,270,380,559,160,309,914,734,
872,274,672,559,216,970,203,397,832,298,372,935,988,156,904,168,358,906,484,
649,112,583,359,086,911,267,988,794,463,643,433,474,164,920,613,960,371,868,
604,973,171,048,820,222,721,481,551,172,242,677,164,190,638,602,802,847,777,
625,101,185,498,218,258,003,080,124,731,299,366,566,058,707,791,990,949,834,
910,961,421,008,235,513,038,499,365,280,543,823,566,909,205,679,813,394,552,
750,440,025,488,409,962,398,064,077,877,731,697,320,719,087,449,138,564,931,
872,713,521,736,974,331,658,357,801,738,828,858,533,670,528,395,445,016,388,
045,634,417,457,070,245,631,540,507,320,470,767,969,257,515,223,131,679,804,
336,548,831,330,204,309,272,938,358,458,174,779,468,133,115,639,726,376,416,
118,108,000,921,576,251,296,455,570,474,949,544,398,854,413,880,282,170,920,
736,971,921,607,373,761,664,423,129,856,148,811,940,666,732,543,516,564,806,
961,946,417,000,964,404,123,161,714,490,035,752,357,020,209,580,939,981,318,
114,348,871,151,638,052,812,600,291,373,495,006,037,081,616,733,200,738,149,
067,558,745,757,207,275,682,135,625,661,277,889,927,943,688,033,721,558,811,
664,955,361,927,933,090,662,717,321,979,752,694,576,620,584,241,597,608,243,
846,882,315,503,513,561,281,249,887,629,489,877,250,230,413,683,942,837,266,
428,337,820,908,254,603,987,404,954,702,148,369,355,691,292,504,300,592,441,
354,273,566,265,769,464,467,734,920,553,333,771,897,581,599,349,722,818,324,
826,053,362,046,630,697,963,435,950,333,615,603,957,583,633,658,501,665,249,
907,550,270,770,403,819,996,787,019,918,134,523,499,667,577,163,854,793,266,
901,707,420,468,790,772,711,178,559,918,605,045,309,572,708,404,000,515,947,
205,886,284,411,921,901,816,854,509,840,741,803,063,702,967,341,936,143,480,
378,509,697,165,750,013,785,197,091,263,764,758,035,201,239,594,275,429,147,
953,639,034,235,429,734,920,830,988,817,288,982,195,286,421,286,693,920,981,
992,627,925,942,294,198,449,334,309,295,252,892,342,053,594,254,316,060,162,
764,346,194,979,472,239,911,143,042,153,979,725,833,683,845,339,962,331,811,
742,079,495,624,439,651,960,729,191,206,516,373,670,161,327,421,735,164,977,
469,250,798,236,817,346,466,749,275,628,803,170,898,158,697,051,055,440,234,
394,869,472,287,222,290,046,882,372,088,198,715,724,292,063,530,139,027,938,
556,463,017,896,526,382,566,986,213,022,288,185,600,646,125,133,823,264,599,
982,333,056,974,487,104,350,703,514,851,973,301,387,659,726,204,751,076,628,
373,628,183,257,101,750,158,946,202,258,438,416,101,839,831,413,984,406,963,
518,006,929,617,636,097,203,782,314,498,258,657,454,457,847,002,697,173,066,
701,247,512,157,660,715,231,610,571,188,733,117,558,318,231,690,981,842,902,
186,111,362,281,083,375,024,006,010,504,509,073,389,223,613,261,846,538,081,
260,904,414,474,790,664,036,728,549,263,065,453,308,123,408,392,734,428,951,
889,997,904,499,103,097,974,707,369,619,347,994,391,979,251,758,781,773,631,
222,136,379,230,800,890,262,459,626,478,815,242,099,257,177,179,101,767,838,
514,796,042,745,816,438,848,972,479,094,540,029,771,263,580,625,484,950,920,
244,878,984,399,052,326,465,927,744,850,455,249,757,443,030,280,094,343,406,
075,067,047,147,698,078,387,302,289,719,078,549,279,328,339,651,177,820,043,
028,908,226,241,726,388,928,217,843,610,995,493,224,649,098,800,825,866,530,
752,628,027,105,850,879,751,371,040,957,065,564,880,118,026,135,244,936,778,
087,074,804,364,738,399,747,212,817,352,768,192,938,747,488,727,075,115,474,
039,578,103,855,858,114,061,127,786,190,546,279,701,749,685,958,537,349,813,
104,506,741,506,953,149,627,256,008,484,284,957,279,613,215,490,858,721,211,
872,025,649,338,699,554,830,077,702,927,036,164,645,665,439,908,730,472,339,
290,303,363,326,536,847,388,688,833,685,703,550,370,982,018,655,387,322,028,
344,496,285,798,537,905,879,220,863,376,232,710,814,974,533,356,881,757,745,
184,774,424,874,457,898,212,047,386,955,149,987,648,199,741,092,611,575,975,
992,588,992,802,416,139,791,931,164,266,601,612,065,166,579,432,324,851,333,
842,284,456,213,530,214,917,539,912,323,479,666,339,473,985,014,969,134,007,
172,538,323,097,240,064,056,272,719,177,235,405,701,209,292,658,411,260,977,
066,169,587,643,084,706,348,935,631,152,874,768,009,345,190,378,721,014,069,
044,441,606,641,681,243,850,481,037,902,533,202,856,329,482,786,024,605,114,
841,802,915,138,184,386,805,582,920,490,704,143,323,507,859,732,820,409,834,
200,507,870,343,964,383,114,313,701,293,444,537,260,302,591,459,551,719,044,
142,120,456,487,077,284,735,096,302,357,607,446,261,930,008,969,455,965,571,
716,028,904,962,948,698,463,883,052,137,337,834,421,251,682,275,144,163,284,
510,462,791,711,837,781,383,626,119,062,829,821,570,249,173,407,889,445,612,
816,864,392,062,334,818,616,928,985,335,305,841,852,111,853,398,756,377,663,
757,341,326,728,592,046,624,674,968,812,638,550,632,106,251,781,629,008,193,
086,049,962,098,468,127,780,805,151,799,036,798,525,311,951,928,039,265,638,
310,540,658,510,926,938,923,922,099,250,889,037,953,634,612,779,343,637,031,
010,126,669,824,362,464,954,428,222,369,926,498,771,172,606,407,509,339,951,
372,788,998,883,789,880,492,866,701,493,077,999,088,150,355,354,618,955,823,
261,269,419,998,215,058,002,939,987,806,333,430,728,495,194,919,236,745,567,
146,146,594,460,368,741,329,993,917,924,153,506,172,986,148,193,784,467,138,
232,257,646,351,176,386,440,838,439,610,797,165,848,891,427,183,225,079,906,
594,892,257,725,121,442,439,682,149,114,672,482,880,435,131,849,954,537,044,
528,462,880,594,161,126,448,316,990,206,638,458,652,387,760,241,662,850,647,
585,882,032,399,688,771,029,935,898,987,785,405,276,371,250,748,854,505,608,
893,729,611,704,058,280,020,801,032,781,726,630,952,302,388,108,209,091,422,
057,029,055,110,646,534,022,442,879,894,333,410,086,442,195,383,679,861,102,
177,459,795,516,830,832,932,499,305,672,965,557,478,159,341,405,075,083,128,
488,802,757,380,303,605,403,175,098,745,028,754,313,141,872,756,153,210,584,
193,976,421,554,178,641,560,121,469,515,972,581,252,753,352,498,291,795,389,
785,210,926,800,381,644,559,152,899,018,222,552,580,465,194,652,991,489,958,
923,322,456,937,895,453,546,680,814,067,199,737,370,752,900,784,211,234,824,
262,797,938,592,633,168,070,075,369,124,950,603,166,701,210,743,560,696,024,
165,702,971,563,575,432,573,787,353,669,288,599,106,091,731,254,811,374,338,
434,846,268,791,034,440,407,475,150,420,468,815,297,026,254,415,805,775,965,
670,589,797,362,551,176,034,451,515,025,151,154,847,045,423,187,054,606,304,
880,640,918,023,706,683,103,947,537,561,515,299,227,318,061,095,521,618,344,
240,906,209,227,668,744,528,787,692,673,441,055,209,050,497,731,901,903,558,
240,529,485,096,729,917,761,912,532,107,610,959,415,834,185,615,584,140,698,
060,268,063,359,889,847,139,328,718,735,268,320,489,936,320,844,750,597,487,
192,638,745,145,876,339,685,912,074,956,208,304,242,712,841,512,560,664,572,
385,665,700,011,518,770,233,664,487,114,374,637,783,424,303,268,461,696,351,
055,457,222,283,450,759,479,744,637,127,103,202,635,407,389,577,131,725,229,
829,199,647,517,872,337,880,018,193,130,042,543,271,248,915,157,537,435,842,
842,652,803,160,386,052,922,783,280,760,214,396,138,974,342,363,954,024,411,
310,964,188,635,421,754,330,453,054,466,985,454,091,474,087,213,666,096,180,
835,795,619,113,197,358,036,545,821,169,630,871,306,037,590,176,796,683,657,
779,331,236,783,414,202,574,117,594,574,133,724,958,225,908,573,235,460,455,
476,388,867,055,850,429,249,421,237,542,655,278,028,086,602,336,272,965,490,
869,665,771,204,436,896,957,635,952,923,077,030,895,636,231,606,616,847,137,
246,138,344,708,297,479,599,156,641,027,821,994,807,841,885,318,062,328,722,
805,391,738,752,674,853,816,286,217,020,981,791,496,010,031,506,126,228,682,
568,731,230,843,628,359,698,392,611,969,490,192,570,196,516,885,617,506,160,
759,917,964,332,086,928,910,223,666,252,253,927,499,623,819,751,968,756,222,
478,760,087,791,731,035,010,915,576,691,032,821,441,530,066,741,902,753,815,
538,419,622,296,244,985,937,506,632,973,606,860,264,603,522,358,039,800,041,
256,790,766,365,967,016,295,333,091,937,609,357,490,661,121,455,660,003,389,
793,455,670,647,613,712,482,184,670,464,228,899,263,454,921,086,948,023,160,
030,051,772,139,506,758,854,782,328,092,025,545,601,332,751,076,742,220,476,
623,858,759,514,771,786,725,348,861,904,850,602,525,162,759,984,455,289,687,
667,031,746,954,598,381,102,927,032,929,224,293,472,848,004,025,761,976,148,
747,994,179,875,334,111,050,964,778,392,524,731,679,848,197,294,400,370,715,
760,907,553,380,141,490,513,513,276,581,667,280,367,599,962,232,265,775,351,
567,770,879,726,362,979,685,935,866,415,562,565,062,956,009,703,648,298,919,
023,071,089,924,561,966,074,946,171,137,701,985,060,091,882,338,418,768,289,
167,141,246,643,232,004,112,215,404,682,186,656,777,555,870,557,168,608,181,
360,194,206,864,228,090,448,181,967,219,812,605,952,935,229,797,860,303,913,
260,105,543,461,219,508,510,397,364,089,783,462,019,487,214,986,971,599,210,
440,609,602,543,825,122,945,497,795,425,745,197,707,401,859,199,207,871,189,
091,717,978,639,983,330,903,482,516,836,217,077,164,579,330,403,322,057,917,
657,176,987,430,387,541,212,027,773,696,687,296,189,227,212,958,235,581,981,
773,873,096,950,209,203,304,483,520,522,368,194,097,722,746,144,754,669,255,
157,642,596,172,953,747,381,469,428,520,581,332,097,071,842,285,533,908,368,
602,289,103,380,215,848,044,102,797,689,675,999,428,666,761,212,288,575,154,
264,906,758,131,216,247,254,223,261,913,374,228,365,980,788,269,240,878,030,
330,339,600,635,536,823,971,846,986,309,879,466,418,938,760,190,018,637,992,
456,603,235,422,196,186,098,704,132,427,032,365,684,215,328,903,606,333,802,
130,237,469,644,162,322,887,723,200,592,214,282,395,399,597,497,381,915,432,
987,229,358,398,610,221,643,705,634,224,817,727,758,639,667,875,930,886,647,
567,950,338,361,059,384,697,815,567,561,473,790,812,756,359,123,188,788,909,
686,036,854,314,528,756,347,091,584,319,683,485,344,445,553,941,281,757,534,
590,712,152,630,437,927,135,608,722,860,434,760,833,816,559,245,570,370,984,
711,231,462,049,048,350,738,812,568,856,705,908,278,635,456,124,507,631,026,
672,921,419,262,651,059,410,805,501,401,766,760,523,993,652,676,540,467,380,
569,258,955,027,006,930,936,971,605,755,602,874,908,117,183,758,750,296,959,
680,810,427,737,611,335,424,705,537,532,058,256,617,992,235,016,110,920,700,
180,928,867,766,804,017,301,296,528,168,544,003,616,849,901,766,179,785,584,
733,197,566,424,142,140,790,264,172,262,259,113,602,990,403,561,321,300,593,
273,179,288,259,966,330,168,226,253,244,663,375,325,759,694,126,741,066,375,
689,300,826,757,946,406,178,825,003,319,902,562,304,978,177,298,669,040,819,
699,584,345,618,420,917,874,666,284,887,808,733,308,388,705,719,732,689,158,
457,075,566,114,375,678,453,712,665,363,908,745,517,758,011,555,156,339,096,
492,790,030,351,738,964,092,001,467,707,335,390,628,475,844,514,801,638,889,
395,501,681,257,905,113,653,374,698,971,264,952,595,889,392,962,945,993,408,
052,204,556,668,342,116,451,213,769,972,210,868,176,486,042,885,857,831,337,
308,987,819,626,245,316,958,531,922,532,368,550,810,164,458,690,156,250,120,
945,339,619,650,073,746,144,938,632,426,854,386,123,068,893,035,547,384,341,
997,851,771,203,025,200,584,789,645,012,352,900,347,677,192,396,023,928,472,
500,325,202,732,888,067,163,372,157,524,177,146,287,366,471,089,752,345,319,
805,123,443,504,943,093,444,763,882,974,565,923,496,594,964,691,013,489,851,
247,753,392,728,062,983,658,928,600,393,915,849,236,837,535,565,159,654,173,
868,448,046,319,002,369,371,557,272,777,505,257,824,378,529,331,451,265,854,
598,621,087,403,030,825,396,407,168,887,650,974,997,022,927,506,718,116,082,
410,488,855,051,225,396,411,782,215,864,943,428,930,121,076,329,595,546,349,
741,983,176,741,522,142,795,812,041,945,924,627,518,461,868,439,271,093,352,
217,792,148,524,334,982,625,488,735,869,165,991,677,689,557,992,876,169,008,
588,027,114,411,217,524,938,178,799,283,853,493,433,610,948,960,520,922,880,
968,460,067,651,794,274,063,053,009,345,329,764,436,653,734,656,822,562,496,
200,306,614,625,242,586,898,949,426,505,754,858,410,969,148,171,506,319,236,
732,028,831,738,256,333,765,593,511,157,072,391,463,098,629,974,849,306,649,
833,123,759,327,181,855,521,488,545,666,028,385,180,678,095,615,665,404,731,
572,799,743,109,523,409,672,675,590,920,319,844,880,413,691,640,885,481,257,
155,211,885,944,143,357,711,826,404,612,488,229,630,582,821,360,312,377,524,
688,305,166,757,265,876,383,878,939,917,286,551,678,993,960,310,508,171,530,
494,586,352,669,518,351,983,728,081,834,373,634,603,020,511,111,608,281,790,
813,048,973,176,714,363,113,645,174,480,774,599,958,518,134,229,109,548,398,
184,520,987,461,602,290,829,538,759,351,325,796,933,995,323,477,865,212,226,
905,577,245,173,701,263,527,254,737,453,092,696,019,505,747,064,302,806,396,
923,909,193,123,934,206,467,067,788,205,939,502,963,490,208,722,086,454,986,
936,872,041,849,930,361,725,755,444,642,406,010,084,431,634,837,891,637,633,
803,629,145,243,193,501,347,342,790,906,787,264,477,677,833,218,241,227,826,
431,277,650,996,060,202,182,408,451,537,621,496,636,612,222,203,580,479,250,
606,348,504,724,794,448,596,421,254,618,148,842,847,724,865,135,723,897,798,
178,208,791,714,395,276,401,474,926,834,495,978,518,237,103,869,282,250,282,
898,752,309,620,588,378,407,418,884,273,384,934,953,918,048,851,314,683,413,
584,514,753,979,622,327,347,348,014,159,512,342,901,628,762,952,199,064,307,
579,928,103,474,104,521,831,580,003,396,649,215,717,746,994,126,151,637,359,
191,751,816,147,216,720,536,079,612,504,411,612,095,187,176,190,153,482,382,
417,906,767,302,755,220,798,046,387,703,000,466,853,856,254,647,328,729,155,
820,721,559,906,454,098,123,597,836,801,193,762,231,919,865,302,173,711,003,
651,233,653,038,931,405,515,281,454,814,763,740,905,992,341,970,611,020,808,
814,390,001,625,121,087,678,152,672,705,768,899,128,960,802,203,973,157,093,
239,040,605,159,225,141,384,527,414,286,107,400,145,109,869,042,013,509,251,
751,683,759,767,507,039,457,790,424,316,409,807,336,977,170,443,894,752,092,
245,516,005,728,065,628,898,934,682,794,971,215,839,116,279,567,274,289,952,
988,771,962,019,559,348,198,853,451,538,135,695,512,477,993,716,619,576,972,
703,558,035,133,599,685,468,036,795,616,010,665,663,385,776,476,013,594,421,
203,127,846,891,760,880,490,037,070,922,737,775,553,937,181,116,928,240,727,
690,842,860,388,318,879,294,032,666,842,209,777,221,193,845,950,729,566,207,
441,137,466,443,882,312,415,342,281,994,403,938,550,652,788,524,618,085,494,
718,737,619,909,704,149,924,753,816,587,193,360,561,622,548,917,039,036,152,
785,790,949,317,917,973,420,052,960,860,706,573,834,461,113,666,251,979,481,
581,290,835,894,292,632,388,929,605,460,837,594,595,611,587,054,141,582,987,
168,773,055,885,016,118,262,393,724,572,384,514,366,513,519,005,803,756,575,
415,895,876,747,310,046,364,471,600,147,013,212,554,886,481,705,972,277,652,
368,204,439,183,649,958,713,573,193,061,836,236,850,993,074,286,067,723,034,
747,082,986,277,361,804,167,131,707,288,168,024,627,586,920,946,075,465,810,
643,903,373,201,342,670,392,148,907,888,173,319,862,093,787,067,718,688,704,
435,045,819,189,220,456,538,113,053,408,282,097,678,861,919,961,933,152,924,
263,989,387,566,418,764,626,854,319,533,721,658,802,315,915,803,836,749,563,
708,230,364,289,017,942,577,091,545,753,634,023,889,433,368,588,342,965,959,
121,290,846,747,701,173,988,363,250,183,187,033,605,427,437,011,727,398,734,
392,644,414,768,843,560,189,649,108,331,458,116,533,762,249,899,647,415,359,
218,058,808,474,906,981,327,217,544,950,547,111,735,605,449,520,636,615,535,
598,601,505,412,548,246,021,529,336,977,435,246,316,269,991,899,966,949,332,
240,829,816,614,391,334,572,085,419,888,913,499,657,392,352,645,517,990,941,
668,425,805,928,275,539,541,581,049,399,928,144,464,213,709,130,929,073,988,
804,730,255,143,954,292,776,379,149,232,801,145,621,800,892,080,925,225,628,
222,767,667,678,601,421,781,925,600,487,101,516,091,530,536,030,089,716,529,
995,389,039,747,606,729,983,191,645,377,494,710,499,449,815,757,832,493,127,
751,146,487,011,724,645,574,230,812,228,321,573,329,717,891,152,260,953,528,
994,596,204,975,186,557,592,452,120,740,029,042,266,234,825,522,331,697,756,
179,657,254,572,098,176,942,646,128,675,814,885,445,594,484,827,453,851,494,
036,188,402,186,613,697,460,021,692,499,728,643,873,803,693,503,905,396,416,
443,467,003,229,752,406,880,167,462,996,932,964,792,842,708,405,183,280,648,
826,258,509,872,106,626,512,750,151,522,839,428,456,283,672,980,630,770,711,
696,648,670,438,022,122,221,750,504,352,295,830,020,183,525,610,792,504,637,
658,659,804,769,604,261,177,871,776,967,274,730,974,353,317,853,037,429,248,
073,906,398,600,343,104,262,907,263,313,377,933,334,888,075,708,599,985,172,
711,597,808,477,687,144,671,033,514,892,677,943,303,455,354,400,068,016,987,
470,387,105,597,212,290,600,390,470,099,984,274,058,400,501,718,546,176,877,
905,509,155,459,244,647,640,200,182,736,016,712,321,614,800,543,852,833,569,
342,459,003,514,388,664,292,551,029,921,114,992,996,428,801,513,300,277,466,
351,710,499,358,030,003,995,966,293,269,747,656,111,501,729,362,655,075,818,
765,808,603,133,681,936,598,159,818,362,983,048,774,771,117,516,808,145,446,
832,775,757,433,292,779,358,134,373,315,425,204,741,653,828,514,708,630,540,
089,236,094,048,866,606,891,016,958,591,353,521,990,227,948,432,822,847,435,
409,542,017,091,000,169,732,346,564,831,944,734,352,307,299,534,502,581,421,
695,190,631,612,142,592,414,262,065,819,321,207,914,923,190,952,725,865,066,
127,995,185,465,056,809,113,179,475,102,777,958,990,022,721,412,336,406,971,
776,132,635,523,606,530,448,926,988,873,526,528,900,562,054,105,794,284,312,
297,643,066,758,080,007,924,061,031,260,039,633,483,142,406,359,656,419,545,
838,403,931,171,824,154,873,172,205,831,990,690,539,621,681,416,357,332,510,
230,279,593,434,495,657,742,912,585,452,417,104,340,078,512,027,400,082,214,
978,559,493,894,272,670,683,267,787,049,945,686,251,961,808,837,556,710,030,
786,596,694,906,510,477,156,027,210,837,743,360,265,498,455,479,361,923,801,
228,449,917,684,116,272,558,741,424,567,151,372,451,329,114,356,525,671,912,
841,049,661,907,891,138,606,820,149,717,456,837,877,458,745,691,014,134,589,
713,326,856,092,545,742,583,923,316,855,690,733,517,747,437,756,670,400,759,
028,134,528,697,190,904,368,168,592,668,420,799,311,671,639,030,750,934,765,
657,330,120,037,301,921,656,396,913,055,973,883,425,359,084,752,870,613,407,
031,640,038,087,362,295,826,207,713,065,627,289,606,751,667,914,118,927,126,
952,873,987,513,787,108,471,969,340,610,821,460,636,405,315,588,465,988,473,
314,496,713,153,258,538,437,949,119,829,479,839,805,831,257,386,491,892,430,
528,629,035,177,964,515,274,064,081,726,211,982,116,041,788,928,110,979,295,
372,435,027,951,444,918,941,071,896,144,890,698,331,383,562,051,705,851,519,
828,495,224,989,509,128,436,295,783,881,318,328,114,924,515,774,484,102,473,
963,137,859,241,155,698,309,112,223,734,783,783,634,066,078,755,344,849,683,
205,454,421,365,795,365,281,462,041,853,172,228,144,854,759,901,315,117,975,
984,450,556,085,579,002,112,533,607,786,050,392,040,187,783,947,783,796,695,
905,555,356,509,992,058,373,625,357,809,621,946,222,888,873,832,254,362,017,
182,704,314,838,868,167,765,762,757,884,148,209,781,055,565,105,852,885,096,
510,186,345,294,722,131,558,570,985,594,486,543,622,970,852,272,716,865,586,
078,159,569,677,221,333,066,714,628,686,934,990,169,592,664,347,607,724,568,
171,862,362,624,147,469,133,587,185,809,749,044,786,606,210,555,915,880,778,
502,161,402,643,491,516,918,979,249,514,834,558,076,071,662,967,405,378,715,
211,653,754,821,908,703,885,181,117,208,315,064,648,094,292,279,985,404,779,
590,127,672,837,001,784,958,933,097,686,377,513,833,894,419,222,949,005,893,
496,531,332,693,918,843,646,396,055,019,943,719,526,097,262,555,606,744,186,
361,509,807,994,507,761,343,569,798,669,793,431,198,549,448,604,144,591,684,
347,382,347,172,791,752,980,951,319,178,084,960,061,088,234,219,868,972,864,
587,386,776,143,808,783,580,789,619,776,878,679,537,214,187,542,152,487,548,
093,458,395,144,939,595,419,687,377,999,496,679,867,245,918,715,583,346,842,
349,206,583,671,947,936,469,020,416,645,557,226,919,032,004,927,499,260,976,
937,822,195,675,943,648,090,427,271,666,843,397,095,258,918,827,494,776,890,
608,483,225,291,511,831,114,228,818,278,211,897,717,382,168,117,012,600,628,
396,329,301,865,003,118,737,594,063,199,088,215,171,686,317,961,114,588,670,
439,022,992,402,011,613,431,558,791,231,172,039,764,982,022,108,838,063,556,
715,062,580,897,095,118,961,041,028,878,415,915,709,173,813,310,753,495,307,
043,569,501,101,179,652,917,946,337,005,528,793,623,884,745,913,818,482,368,
004,593,718,258,527,639,797,797,712,304,928,105,856,366,808,739,203,490,193,
927,314,734,169,430,553,860,218,600,465,429,752,136,823,899,634,971,499,813,
678,928,682,835,148,168,963,431,541,742,472,638,565,030,235,708,278,172,555,
493,190,702,269,844,208,436,768,003,444,443,555,310,487,491,558,802,632,650,
475,063,228,911,840,232,843,362,620,768,464,504,987,535,966,680,318,338,252,
420,248,394,147,445,744,272,277,056,771,356,683,293,012,772,343,114,923,588,
857,512,163,809,115,364,009,658,578,123,427,889,530,776,017,569,722,764,259,
244,087,075,683,013,946,087,033,211,624,609,189,565,385,375,163,343,915,946,
144,903,086,675,446,365,515,447,158,798,703,128,111,264,695,234,432,040,700,
502,302,966,120,264,334,371,313,978,760,554,139,552,599,935,891,737,816,542,
487,405,657,390,834,603,941,396,801,175,671,300,985,646,967,817,462,346,301,
926,010,418,227,366,360,982,916,258,605,550,209,515,330,298,638,156,734,175,
948,294,234,373,079,699,985,782,590,295,332,801,873,090,912,506,657,265,604,
192,737,981,562,728,803,502,361,645,576,553,705,170,154,732,002,322,577,353,
010,509,206,704,649,368,813,484,774,721,699,244,173,479,072,036,223,774,367,
004,274,927,944,071,061,058,252,126,988,857,019,905,701,111,715,789,596,688,
347,914,503,579,368,884,341,422,242,097,657,755,896,501,796,454,921,898,101,
586,792,821,757,513,841,624,833,739,915,368,865,083,274,899,516,876,776,122,
899,933,885,260,628,741,439,619,610,456,696,983,982,588,411,614,796,656,815,
124,266,712,696,522,748,483,403,157,080,560,268,299,677,677,971,227,504,413,
585,504,347,527,536,982,359,263,727,495,937,989,266,530,651,703,524,094,932,
148,382,761,812,353,038,641,601,193,435,335,259,339,972,175,955,517,861,306,
682,089,874,793,960,897,064,074,568,798,132,375,258,357,440,508,192,702,830,
855,188,502,328,510,587,969,385,229,285,199,028,804,491,813,224,174,771,256,
681,363,669,902,209,382,778,930,441,963,812,895,329,415,047,622,744,402,580,
098,182,939,940,995,064,990,439,456,396,933,554,979,938,815,889,627,694,791,
534,647,301,683,035,105,049,217,635,995,353,976,817,790,509,814,723,706,093,
145,969,214,957,051,752,920,345,406,099,786,741,070,621,822,488,340,068,913,
140,777,349,424,494,266,085,720,769,889,806,872,495,324,569,580,406,814,521,
899,347,172,034,817,059,508,932,139,365,136,955,528,789,996,950,028,039,805,
819,570,092,208,457,309,951,223,984,135,146,801,204,454,867,094,364,329,958,
078,177,334,727,963,950,279,012,635,271,809,938,667,790,246,456,638,072,295,
469,124,856,955,345,521,659,920,843,963,853,330,377,270,752,295,005,894,614,
618,834,324,730,082,807,272,662,053,257,069,478,981,420,919,029,622,525,112,
796,976,591,680,495,117,627,542,573,368,555,520,811,754,707,636,059,537,479,
705,548,399,612,041,273,422,640,988,592,188,945,741,550,264,533,971,815,002,
787,947,327,206,746,265,129,986,710,571,094,482,069,581,770,281,890,322,622,
564,769,963,513,655,783,756,946,287,902,370,880,001,529,357,867,423,944,937,
556,703,756,395,657,533,233,628,491,936,358,567,753,648,229,891,802,380,505,
090,519,214,251,724,392,916,836,186,250,882,947,948,478,775,066,412,889,512,
829,032,546,638,149,277,587,583,558,228,010,725,839,809,495,382,843,918,564,
554,014,187,607,107,956,519,100,267,518,317,533,245,052,282,959,064,581,153,
714,813,660,650,564,134,169,067,839,826,743,889,705,341,697,127,588,841,901,
552,282,133,246,457,343,632,182,527,789,384,604,798,700,347,483,549,205,479,
424,879,720,947,451,791,769,055,236,966,450,621,210,897,790,839,953,399,035,
869,164,461,541,774,676,968,392,722,743,607,809,758,555,794,935,877,642,117,
227,063,126,958,122,219,355,983,459,456,243,529,153,535,824,181,092,774,487,
523,843,261,727,892,709,954,513,773,536,562,579,467,392,589,878,156,491,334,
165,007,798,129,676,755,360,756,004,445,282,417,863,186,755,644,583,768,255,
814,038,907,661,864,459,092,112,389,007,181,390,138,525,961,896,136,819,837,
289,112,013,605,525,093,250,682,921,205,154,681,165,140,373,693,394,843,866,
290,877,336,749,481,760,304,920,126,947,743,697,843,607,765,910,603,446,120,
569,530,861,089,089,424,662,986,881,986,242,550,487,304,318,429,581,993,365,
444,379,349,992,474,931,762,344,027,404,243,561,760,146,501,832,566,640,009,
845,528,023,558,239,531,070,366,242,268,537,526,739,340,438,909,843,356,152,
365,150,203,872,664,978,443,878,269,882,600,244,997,334,252,033,856,067,404,
913,123,051,116,352,108,395,251,770,435,306,548,261,603,434,488,944,482,635,
243,252,661,388,152,011,801,969,741,669,711,532,201,413,651,388,836,460,331,
175,940,627,782,718,116,071,984,250,310,908,960,695,378,144,007,457,801,431,
192,990,275,947,861,972,657,529,115,734,339,352,196,138,340,032,344,627,292,
636,070,970,931,691,943,776,965,233,437,859,211,127,095,121,617,832,974,367,
809,255,339,753,538,781,734,078,213,229,411,007,226,942,065,456,286,029,062,
422,884,341,613,220,406,371,908,513,658,241,986,163,015,729,852,252,922,331,
210,030,688,459,388,557,146,456,218,503,779,410,763,201,515,246,063,380,948,
217,733,556,304,970,345,361,802,159,383,331,056,190,872,356,788,712,603,887,
856,097,320,817,721,101,066,302,121,316,231,332,752,216,975,770,278,822,972,
516,246,495,931,546,611,506,250,262,580,782,689,694,928,762,264,982,893,530,
792,613,038,029,453,503,350,304,181,340,868,842,647,059,758,074,067,695,099,
578,766,727,111,936,678,908,659,241,746,143,373,162,176,077,358,752,955,517,
859,108,369,884,256,931,547,014,547,308,714,054,534,965,242,897,455,456,623,
040,928,119,526,099,372,263,756,740,164,463,731,259,014,816,516,833,707,955,
499,012,777,391,668,658,538,883,479,386,232,830,692,561,923,930,066,439,762,
734,243,663,295,662,091,045,929,003,345,642,186,628,692,955,480,472,453,620,
968,821,476,101,484,005,695,387,762,272,540,272,211,182,064,994,946,822,801,
572,049,604,889,586,681,116,856,421,992,430,515,816,919,335,652,458,070,750,
880,131,479,218,803,677,626,671,740,907,790,447,124,144,270,858,525,416,553,
598,466,544,633,741,411,192,939,981,192,179,381,756,276,645,954,035,210,824,
791,815,221,532,803,471,679,176,724,591,655,127,116,168,586,451,156,725,730,
592,198,036,471,320,408,538,865,121,784,423,584,593,177,665,999,812,178,053,
975,466,744,125,502,692,047,598,395,728,910,182,708,015,043,121,032,054,087,
633,976,312,447,384,173,144,220,055,256,133,452,681,906,921,948,007,495,905,
872,110,591,967,980,149,401,539,500,588,036,313,038,759,719,174,086,034,963,
987,627,663,400,413,595,508,549,705,596,514,283,861,195,846,644,929,393,796,
750,470,160,308,103,201,341,420,020,963,363,130,731,983,565,510,433,914,207,
950,483,161,947,058,683,187,172,821,538,766,579,701,875,320,325,969,980,759,
419,300,018,651,530,317,250,435,691,611,640,692,107,889,124,331,436,563,856,
475,099,113,863,705,603,775,713,549,226,605,156,037,272,497,980,212,607,488,
011,124,558,385,472,423,912,009,258,503,896,898,881,618,793,470,771,612,417,
401,039,567,323,451,087,922,307,613,457,799,469,738,883,370,788,199,773,820,
634,308,203,149,954,140,461,765,511,307,818,918,570,493,259,978,854,322,584,
081,889,372,810,110,540,650,724,952,604,148,776,286,850,258,174,884,577,352,
210,999,249,151,258,507,620,080,139,744,336,545,208,073,615,075,017,316,139,
036,389,635,412,589,417,028,932,861,810,508,071,275,313,497,756,814,812,245,
884,314,905,768,239,881,721,910,302,192,317,329,743,018,295,892,932,941,786,
655,908,148,307,746,102,404,976,093,880,438,097,458,257,311,048,955,918,409,
973,140,976,874,991,410,926,489,972,661,180,292,326,249,289,591,201,060,955,
815,103,364,271,936,525,329,895,227,529,587,459,250,268,844,771,046,681,471,
271,861,951,460,884,028,274,899,234,795,846,660,394,486,485,866,174,817,713,
433,398,557,740,016,243,461,493,397,888,242,661,614,152,824,991,344,709,410,
541,654,899,347,959,033,052,095,050,503,819,866,736,567,103,742,565,120,332,
855,213,402,492,071,803,093,356,630,274,474,744,995,809,716,866,548,619,175,
646,252,195,222,915,081,334,752,868,015,315,384,746,473,168,790,915,252,688,
513,192,882,650,950,313,044,486,725,002,721,376,196,282,259,787,164,388,509,
682,438,950,961,444,860,529,019,013,379,862,470,817,528,394,782,535,087,328,
505,322,858,135,884,742,866,679,068,082,244,023,966,957,373,011,978,943,890,
070,810,194,307,947,589,790,121,375,040,459,841,693,615,165,130,284,230,934,
681,775,766,759,483,406,961,654,526,849,949,366,696,366,641,209,104,260,746,
977,484,037,007,000,540,544,782,375,392,126,353,360,740,973,186,045,395,241,
402,384,237,864,545,149,785,242,152,636,481,710,832,594,264,761,571,912,134,
464,978,710,003,339,993,260,352,879,196,442,639,644,062,294,968,514,723,335,
128,289,564,334,472,088,419,062,590,429,634,124,862,034,540,138,392,583,130,
895,230,894,979,461,616,264,530,251,656,721,676,680,372,261,580,291,598,796,
704,701,441,672,286,100,048,527,878,140,412,398,120,518,719,823,265,446,386,
491,669,486,480,055,524,137,959,026,061,930,644,530,446,954,076,423,381,794,
499,914,222,518,799,239,026,788,026,968,037,140,571,029,547,581,242,015,166,
046,971,548,311,532,346,531,333,076,271,603,261,841,546,465,870,505,489,002,
022,636,902,515,549,021,307,448,376,682,029,809,792,879,966,392,724,518,353,
047,226,247,267,413,166,597,496,560,988,495,984,269,291,908,391,300,720,934,
222,204,850,752,040,715,211,260,368,914,189,410,140,465,345,765,685,691,547,
374,348,553,365,299,558,171,700,738,517,336,242,446,116,358,748,534,016,971,
918,196,898,884,323,392,419,618,890,422,100,318,545,948,056,199,323,858,408,
259,938,844,341,213,509,119,159,700,075,769,468,235,027,925,069,673,507,048,
308,232,758,949,758,604,411,348,703,563,381,888,987,603,603,689,618,073,159,
793,898,792,744,321,961,132,051,050,403,647,197,162,379,003,992,198,547,977,
965,241,684,725,138,689,385,002,141,350,628,928,905,465,094,694,489,537,573,
806,319,251,015,552,904,406,774,042,198,800,585,279,583,926,887,148,645,057,
743,108,933,150,356,165,770,930,906,921,935,132,593,037,437,960,955,669,583,
693,382,182,839,842,246,300,303,982,255,883,315,090,377,069,623,610,792,486,
758,207,158,231,710,780,464,888,035,313,113,976,965,946,418,912,364,789,048,
585,849,969,614,450,453,180,268,769,976,188,909,894,862,393,975,491,306,926,
907,364,102,190,383,140,698,696,116,154,478,743,189,397,338,261,378,182,954,
373,161,578,975,461,526,219,451,768,500,511,334,035,104,468,329,304,554,225,
673,050,860,197,339,700,192,929,311,942,644,755,237,235,916,177,810,207,983,
430,391,332,197,522,206,867,647,350,952,620,491,236,844,191,614,891,905,882,
211,289,368,801,471,833,067,393,137,605,167,643,700,587,424,686,412,793,562,
911,394,890,446,618,900,492,195,649,474,127,360,805,565,096,556,896,531,329,
478,523,253,829,137,637,838,901,811,349,105,523,834,574,846,869,080,707,905,
306,587,658,756,965,447,035,568,750,745,390,777,341,546,911,046,356,953,133,
692,709,108,384,289,735,523,763,486,993,925,266,843,095,033,346,396,368,864,
629,173,721,721,607,308,585,383,064,405,359,180,606,690,546,924,126,819,240,
139,268,673,024,918,478,594,686,137,026,214,393,812,180,169,671,642,011,872,
811,298,152,686,053,374,446,141,464,864,476,064,952,472,984,225,430,006,105,
410,392,772,200,869,948,311,292,399,400,953,791,891,359,353,945,944,692,298,
308,471,926,109,750,227,402,586,830,252,419,708,405,150,627,304,103,154,807,
871,862,174,769,825,164,687,016,713,286,346,163,290,413,320,784,004,508,277,
871,920,659,263,423,925,406,571,605,197,021,589,513,893,505,784,856,540,937,
809,012,972,209,209,567,303,424,805,328,987,233,413,946,573,688,834,844,200,
119,089,620,041,599,280,647,924,033,299,026,471,255,242,656,728,328,541,940,
189,318,492,710,432,163,560,084,426,193,331,484,365,181,640,623,249,409,201,
566,068,966,404,158,587,130,345,739,179,813,254,813,364,797,882,056,457,423,
958,510,111,372,569,364,234,586,252,064,579,580,961,733,587,192,010,188,770,
722,831,934,100,410,480,663,656,650,791,035,994,541,668,433,394,077,895,429,
045,314,570,307,244,550,938,368,941,860,506,252,837,900,029,311,472,263,945,
962,944,220,215,540,719,273,535,937,444,722,953,674,623,589,437,800,800,528,
004,688,192,425,089,737,191,862,911,394,736,229,189,567,041,476,788,728,054,
935,534,061,266,700,643,412,378,473,419,519,602,821,567,682,270,834,658,543,
617,435,500,088,730,980,612,224,641,627,925,029,395,774,912,408,555,919,287,
750,055,613,978,116,198,607,010,458,481,460,353,103,063,899,418,303,999,847,
165,987,788,029,413,848,844,940,275,979,787,240,075,306,518,274,312,287,511,
792,252,550,044,001,714,985,335,767,275,235,109,386,593,121,004,796,882,385,
513,241,464,893,876,798,758,667,191,671,935,276,555,955,911,197,053,842,449,
094,380,261,757,030,679,141,690,112,939,393,183,808,561,518,564,545,378,320,
208,292,695,578,575,850,517,764,233,024,322,293,322,071,161,179,584,136,008,
966,390,212,800,837,678,750,693,727,420,026,714,272,331,766,294,546,625,041,
230,253,320,962,665,632,985,329,492,295,267,571,393,963,017,484,200,655,747,
013,417,723,703,131,060,797,155,181,170,627,194,431,670,263,392,626,596,324,
888,699,238,370,299,553,637,178,286,365,911,960,195,953,653,983,386,387,830,
150,492,367,333,461,508,613,067,016,394,892,448,046,515,769,159,555,529,323,
641,152,357,857,457,910,553,875,728,305,876,074,388,170,253,004,775,903,155,
721,956,143,226,349,779,902,827,148,716,981,537,966,117,710,869,739,770,564,
974,492,573,190,335,386,647,696,189,762,149,774,797,946,410,478,970,125,171,
300,674,806,945,928,949,890,331,846,408,904,978,150,588,717,943,042,799,380,
850,365,168,086,395,173,128,686,496,958,914,017,908,757,050,429,428,594,804,
972,211,619,609,048,977,306,697,564,377,030,085,540,859,263,487,105,598,106,
655,295,635,818,436,715,238,708,005,762,317,755,553,354,519,318,302,562,316,
174,661,380,263,856,425,508,295,285,031,067,940,717,101,600,874,674,115,968,
912,425,821,877,950,576,919,852,979,678,769,878,858,306,773,404,475,705,476,
546,535,449,120,371,073,164,393,811,311,003,864,596,091,249,005,622,519,743,
895,967,720,998,223,119,515,772,548,280,146,790,011,112,045,959,962,588,838,
421,768,692,866,165,037,431,537,222,390,025,979,226,186,752,530,085,952,873,
053,214,443,795,722,014,631,030,035,286,343,379,405,840,795,417,756,219,058,
642,698,287,115,605,524,533,729,114,994,869,747,080,254,315,389,765,653,332,
071,306,617,534,201,017,423,976,168,359,996,303,775,822,801,359,270,931,656,
708,886,933,103,000,630,224,718,285,346,080,558,105,562,867,095,158,894,533,
948,656,344,098,310,583,859,417,693,060,969,065,561,307,637,416,788,329,500,
001,787,892,813,690,916,144,877,431,440,587,363,160,226,458,792,525,461,145,
325,943,352,497,250,767,148,431,034,595,421,873,040,162,366,916,289,743,852,
300,337,139,051,379,470,471,010,399,482,469,155,802,406,216,323,668,626,135,
043,381,570,100,489,803,696,309,557,449,134,681,255,308,561,856,588,808,621,
665,835,024,451,637,924,543,528,190,491,549,295,240,330,773,255,856,148,391,
805,756,262,751,902,093,700,050,191,771,567,251,644,487,648,186,908,765,521,
189,545,346,645,913,785,585,326,397,802,577,487,577,440,982,365,219,175,577,
467,488,987,181,275,314,989,099,171,501,988,335,084,437,442,368,669,219,043,
016,335,265,439,351,667,246,905,534,532,711,707,854,707,023,273,028,945,360,
647,651,990,846,395,233,944,945,574,251,522,596,457,066,080,969,540,904,896,
696,093,556,867,380,266,820,597,025,526,806,484,707,774,569,669,434,594,945,
307,316,209,955,132,283,249,224,074,405,451,919,463,282,492,034,343,001,222,
483,733,986,731,250,696,711,962,541,345,173,877,760,289,836,016,587,267,984,
586,377,842,679,136,118,981,704,866,851,130,226,736,413,790,837,105,380,591,
636,244,429,971,328,367,909,717,822,069,583,514,824,791,427,223,661,856,398,
818,804,611,337,132,353,287,585,977,405,720,812,980,881,591,033,027,202,497,
607,541,436,658,415,263,127,827,846,875,358,255,722,478,987,016,433,276,135,
538,072,837,582,198,529,401,994,864,624,698,232,091,315,265,537,691,444,082,
370,535,917,014,099,561,870,378,532,125,405,331,935,392,476,513,032,286,174,
252,688,897,832,966,432,988,430,226,411,266,201,248,150,233,350,356,835,734,
617,529,488,182,676,665,457,520,379,010,658,771,244,017,230,153,342,387,223,
784,586,767,292,149,530,501,443,886,628,437,049,306,787,801,704,857,582,083,
715,873,715,707,638,634,653,767,983,456,036,474,395,233,860,300,920,524,863,
972,577,508,642,896,005,026,782,574,642,724,488,532,633,309,995,076,184,997,
831,368,162,969,728,758,027,615,734,259,976,241,458,494,042,832,327,618,206,
704,506,060,088,861,595,185,384,368,237,312,559,480,355,315,066,129,545,178,
413,997,970,066,162,246,935,316,812,910,878,219,541,060,309,563,894,545,134,
247,149,064,466,339,909,924,123,569,400,890,025,949,520,356,022,082,729,890,
065,521,644,391,359,580,282,816,848,889,515,254,091,336,875,028,883,848,990,
516,920,606,183,704,595,536,794,870,435,678,692,938,097,318,338,301,291,946,
909,878,840,328,824,909,594,283,147,928,533,488,353,249,352,815,133,420,747,
640,324,733,509,145,751,723,220,238,761,821,003,241,444,699,179,348,532,870,
365,324,462,884,600,746,602,927,429,203,495,114,770,315,877,014,208,182,888,
767,318,582,343,146,682,625,238,787,579,364,577,300,587,496,837,909,998,128,
869,435,589,470,755,113,785,954,743,933,489,087,677,665,248,013,921,726,733,
717,715,946,145,536,739,060,533,209,762,126,188,511,415,937,632,162,240,416,
196,130,111,384,804,890,520,048,638,873,651,927,031,948,691,343,561,580,086,
207,476,638,143,583,048,772,854,299,188,393,067,149,629,736,834,882,519,508,
792,164,464,394,285,509,502,666,272,883,600,286,474,032,683,670,362,106,196,
408,042,455,086,973,475,150,845,236,641,890,585,970,276,837,410,542,792,778,
685,236,268,308,255,647,823,272,421,138,188,368,829,084,755,454,027,364,081,
516,518,199,008,135,220,301,170,121,832,444,265,310,208,103,836,795,177,138,
554,336,670,335,519,560,919,019,263,139,733,326,450,254,492,763,383,158,842,
302,362,576,157,205,650,659,597,734,750,443,586,936,414,098,167,331,827,470,
426,920,799,153,529,745,857,581,815,099,160,853,235,618,033,676,452,928,370,
132,800,970,699,536,904,178,882,977,146,984,096,087,761,996,763,123,978,169,
677,295,530,991,224,653,222,347,177,464,727,060,807,413,379,263,456,253,742,
965,678,559,227,957,145,809,421,043,741,112,790,762,684,961,333,018,509,368,
320,477,253,439,555,888,245,903,814,455,737,874,115,517,761,424,736,334,914,
459,744,604,908,603,743,354,372,417,464,022,156,014,517,941,283,432,132,738,
958,587,937,270,061,649,945,224,806,849,230,446,803,884,860,223,772,924,441,
374,145,680,104,254,289,175,786,682,304,053,257,137,824,552,737,341,413,620,
364,380,707,128,932,166,096,303,617,866,029,556,871,752,110,997,409,287,586,
083,875,586,427,892,439,223,580,083,960,590,628,826,831,447,780,700,265,785,
469,553,014,162,794,616,805,637,295,785,200,089,411,525,763,839,868,669,769,
851,509,083,132,696,225,289,264,974,602,518,294,715,404,677,003,336,890,414,
041,656,092,835,576,116,631,397,826,623,311,085,890,281,299,773,445,610,095,
353,879,828,433,072,933,437,915,516,863,796,106,080,888,292,922,368,069,410,
181,296,858,066,498,169,245,487,226,669,352,370,497,629,961,526,116,807,658,
598,147,034,800,911,840,174,361,045,224,280,346,045,672,899,024,364,613,405,
774,768,628,265,637,717,505,856,868,325,972,725,497,548,888,882,831,836,775,
411,281,725,046,319,982,354,217,429,706,886,296,960,296,012,730,705,240,997,
858,156,069,239,850,293,224,366,445,387,913,473,718,189,280,518,510,857,883,
696,178,522,353,586,090,014,159,197,614,907,113,068,055,556,682,853,233,173,
455,610,308,154,337,316,024,037,259,663,420,990,949,865,571,900,383,083,417,
298,503,976,291,860,220,058,956,426,097,048,716,653,033,818,698,437,856,861,
981,595,321,792,651,878,219,873,378,300,871,760,149,319,736,432,106,326,794,
547,214,671,353,865,766,499,489,817,293,749,971,573,287,156,432,622,664,095,
409,378,748,370,580,219,878,707,501,109,851,608,497,227,193,162,257,416,133,
028,206,692,489,267,601,680,526,243,029,931,161,481,778,727,975,321,019,210,
733,232,615,873,119,729,062,986,562,836,642,309,584,356,984,882,762,001,911,
504,981,020,030,224,118,592,292,530,538,135,761,937,616,152,378,247,045,842,
082,046,635,952,572,119,215,376,445,721,802,427,370,232,605,143,264,712,072,
791,474,093,231,295,266,914,177,182,924,698,392,121,844,508,615,112,474,527,
707,680,733,605,999,584,528,723,367,906,075,624,658,614,220,768,035,541,947,
402,310,378,253,358,978,224,114,169,322,237,745,612,942,287,393,643,050,696,
124,231,987,332,820,617,546,303,279,626,916,986,060,414,157,310,554,230,067,
174,886,450,498,473,477,824,247,087,004,429,435,253,987,393,479,750,652,904,
889,054,211,435,590,250,476,470,112,921,951,442,618,747,273,217,712,294,182,
317,967,316,615,230,369,484,829,796,902,081,698,193,988,653,262,406,345,774,
777,222,342,301,022,990,431,196,059,540,742,286,431,303,194,022,269,000,875,
977,216,738,468,600,986,779,086,369,168,410,232,510,269,679,772,945,146,534,
328,039,976,697,704,494,466,144,638,965,937,481,104,701,121,643,330,373,477,
008,189,741,135,752,037,798,605,524,513,714,940,272,968,149,325,794,568,314,
187,031,264,074,965,296,759,637,337,366,238,606,499,294,695,511,636,911,768,
210,184,509,685,387,518,916,632,437,166,764,265,533,274,601,808,171,861,406,
746,890,243,724,945,078,117,980,267,623,022,614,336,647,580,110,520,332,182,
317,942,032,754,212,250,484,875,779,629,830,832,726,024,228,595,459,450,137,
988,600,563,939,015,041,956,414,460,413,204,895,363,593,416,986,024,675,175,
187,447,957,288,267,742,451,108,868,972,882,132,724,628,359,400,148,189,553,
067,775,478,265,857,572,007,325,124,396,925,362,457,334,582,665,012,775,018,
341,798,156,649,083,878,639,647,096,547,037,826,110,793,250,166,981,448,625,
663,258,066,902,983,965,018,544,248,917,535,776,359,396,989,473,847,981,797,
929,529,863,366,446,820,418,078,249,972,761,284,203,734,119,937,160,593,357,
458,550,400,838,880,039,522,794,209,600,694,102,269,628,643,421,073,593,591,
113,819,217,068,362,697,967,428,330,727,304,809,714,722,308,684,521,278,561,
047,855,485,681,749,596,915,200,170,760,590,438,937,405,286,590,870,470,046,
985,832,737,893,387,546,527,370,502,581,424,597,603,421,204,039,099,982,599,
257,382,241,058,004,251,152,914,121,968,161,697,233,286,095,220,600,675,852,
440,752,211,329,575,867,337,302,063,011,312,682,846,219,761,639,644,427,608,
683,884,768,780,235,139,953,242,000,454,970,401,511,807,832,277,158,184,411,
172,258,732,827,624,516,644,015,917,396,854,125,376,367,114,871,933,927,913,
485,247,203,228,653,012,047,029,399,087,141,080,960,994,736,508,441,635,185,
104,339,215,266,844,882,353,361,714,639,093,823,370,864,518,555,364,992,306,
656,093,365,771,868,666,759,580,156,931,127,408,700,937,332,627,744,492,025,
761,279,689,707,872,261,582,046,553,799,780,104,066,960,255,833,547,214,120,
914,221,706,978,818,940,037,416,610,790,155,127,486,834,871,495,759,520,851,
071,942,004,085,417,537,362,366,975,489,373,950,685,229,237,333,469,292,258,
275,634,239,186,462,510,854,110,755,267,861,304,256,706,254,648,483,171,201,
437,280,754,506,258,211,259,323,049,047,743,694,365,108,581,920,818,869,159,
527,608,319,982,171,682,612,071,050,679,381,397,472,756,958,200,482,139,904,
609,369,876,854,290,823,272,274,302,034,764,839,367,132,466,083,782,283,679,
915,909,945,851,766,995,897,229,349,118,972,749,890,822,712,453,646,046,472,
163,665,239,696,526,435,910,262,595,643,450,153,192,654,117,269,811,681,731,
928,332,801,091,228,349,678,911,214,854,674,939,332,392,525,832,235,777,260,
064,993,540,102,705,145,435,307,038,953,448,727,876,768,645,588,446,451,267,
302,323,633,604,314,687,144,510,551,846,716,230,589,401,115,705,684,533,582,
618,814,963,769,308,556,681,709,823,398,960,629,675,070,623,959,458,418,003,
301,093,656,570,453,312,720,379,350,867,363,742,632,159,749,713,346,612,497,
062,430,931,258,520,207,294,934,328,939,338,492,632,392,589,372,654,168,581,
358,698,080,963,834,887,252,968,363,029,805,169,263,962,169,849,260,472,757,
929,986,224,058,517,348,247,313,686,547,295,419,716,171,019,605,475,788,571,
184,652,952,435,538,364,630,355,443,510,523,256,544,276,224,467,015,437,580,
043,532,547,082,525,492,930,476,438,468,671,386,588,201,786,758,191,718,876,
799,711,601,987,614,316,214,337,456,920,645,371,683,647,148,263,383,750,356,
645,517,062,477,248,599,604,738,557,488,676,407,348,095,156,648,244,092,456,
977,173,899,722,720,489,255,717,669,257,820,774,514,956,752,216,468,055,698,
914,813,068,282,423,123,144,983,930,143,648,762,912,405,318,049,470,928,452,
033,157,228,501,229,816,606,703,889,426,710,591,105,225,637,288,788,212,260,
375,979,362,223,292,771,786,475,298,703,055,015,011,468,237,081,375,746,839,
730,725,413,136,008,471,725,252,909,913,349,793,678,277,162,046,174,764,434,
612,969,256,295,002,656,096,738,575,730,894,686,094,724,184,526,043,594,373,
990,425,029,736,946,954,310,454,711,906,235,306,228,663,204,707,751,564,030,
348,327,171,472,728,366,641,050,776,140,610,064,981,965,942,071,708,121,544,
364,007,080,670,234,418,380,482,048,637,799,804,273,111,568,961,397,257,476,
812,566,217,029,879,743,283,987,006,883,279,716,138,658,955,561,344,478,810,
382,829,971,046,308,797,981,253,511,379,395,659,371,994,025,427,384,940,652,
752,953,073,820,851,016,387,432,043,286,699,503,849,949,042,150,782,497,584,
066,745,217,044,758,777,464,446,747,884,703,445,272,957,055,693,575,504,791,
330,710,218,479,888,520,472,053,569,100,107,668,631,552,270,459,594,905,813,
052,836,044,151,635,647,206,629,190,325,772,432,223,378,993,500,909,254,374,
182,571,058,989,626,662,280,737,478,449,131,218,111,313,539,416,642,301,950,
294,787,179,796,759,229,737,267,327,937,692,211,201,045,069,051,588,507,475,
265,066,490,595,805,324,964,018,699,325,735,801,128,855,106,432,597,898,210,
284,806,227,402,859,716,509,553,886,846,229,634,638,687,214,401,986,178,288,
978,644,929,265,124,834,022,494,193,667,419,393,533,349,560,748,344,232,846,
426,401,708,952,928,001,605,439,594,458,144,648,806,642,411,864,319,978,713,
130,329,737,641,664,646,287,534,419,649,697,022,750,813,837,234,679,676,607,
637,737,568,046,640,836,069,844,056,174,785,936,121,850,599,495,584,541,028,
946,610,936,847,705,369,981,464,891,597,709,798,333,844,119,565,910,460,505,
077,927,056,925,166,321,145,640,270,980,672,320,637,133,831,787,402,464,016,
893,368,849,288,120,779,598,380,451,967,264,467,405,780,462,938,795,067,807,
372,044,781,313,493,228,123,047,868,948,440,719,150,149,097,517,154,408,418,
303,917,642,907,263,538,099,346,390,377,318,253,184,106,141,447,842,369,951,
961,088,877,843,353,406,317,116,438,005,529,783,594,277,332,161,012,511,882,
980,916,776,590,819,313,423,432,772,864,426,569,452,944,866,712,590,774,762,
677,051,379,309,570,261,946,433,026,357,831,628,017,981,183,752,525,693,096,
749,246,404,183,156,508,372,652,934,812,680,311,369,731,255,631,639,543,361,
330,194,563,077,151,712,095,641,647,926,328,048,391,616,277,401,508,502,171,
269,273,665,610,068,292,842,661,195,896,156,025,046,871,234,556,442,359,130,
023,567,806,689,431,489,619,410,729,464,168,597,410,302,582,536,958,201,744,
673,996,508,536,292,167,652,616,550,251,034,521,787,133,296,949,180,402,115,
710,886,055,322,843,686,909,542,386,161,642,028,584,455,151,524,887,402,753,
429,754,683,595,701,166,541,640,804,009,051,498,062,808,623,032,991,606,862,
362,242,495,101,238,930,849,974,532,840,713,519,593,564,724,509,238,318,167,
649,736,522,601,485,479,308,287,727,841,486,704,759,214,462,735,022,836,156,
409,665,027,760,623,978,481,522,530,346,318,523,388,536,112,352,911,418,360,
644,230,020,681,291,565,518,099,130,825,541,983,352,419,607,002,700,990,940,
666,656,323,799,388,718,683,673,463,069,029,390,837,114,295,631,389,377,988,
138,900,358,217,903,025,480,786,348,492,108,850,330,355,426,821,563,395,829,
635,045,837,138,029,432,020,963,275,175,136,889,565,334,154,360,292,132,147,
856,221,729,331,585,940,812,906,740,358,051,874,440,388,200,994,294,392,305,
902,987,317,186,928,923,665,659,502,144,999,800,466,980,590,679,210,839,345,
066,324,222,262,033,066,695,694,490,039,827,231,611,558,964,757,162,581,467,
907,573,754,711,699,304,360,797,947,122,573,240,190,957,541,541,135,507,091,
695,607,194,520,849,753,792,820,882,824,907,226,434,851,613,631,631,516,475,
479,055,435,704,373,013,508,029,041,655,563,167,896,941,494,890,002,043,899,
220,797,596,756,292,704,129,977,926,678,900,629,027,815,989,385,129,746,120,
266,396,594,786,992,391,741,380,378,044,433,427,829,635,936,566,137,379,845,
798,739,507,853,486,950,424,496,843,079,846,156,033,375,869,473,337,845,668,
965,048,929,036,981,721,610,236,560,170,357,239,969,950,427,971,204,001,310,
628,292,539,647,729,531,706,119,889,777,179,056,489,032,823,033,076,599,960,
638,466,336,780,436,118,475,606,565,658,733,707,187,859,400,519,993,831,641,
118,520,965,312,048,999,016,961,562,603,621,972,570,631,769,901,960,146,618,
874,835,745,963,236,328,792,565,714,199,519,657,779,883,285,139,580,079,689,
099,021,739,055,849,049,782,763,014,474,561,211,800,205,095,218,116,999,756,
089,083,992,993,253,878,379,358,039,267,170,688,757,567,113,527,549,102,316,
313,628,179,552,551,748,266,621,103,140,700,611,009,420,879,175,497,858,609,
051,776,310,432,582,277,746,383,307,889,356,218,844,941,993,813,770,390,220,
521,049,527,873,607,452,932,602,556,051,372,900,299,730,837,394,595,805,754,
687,690,130,672,516,685,798,957,390,269,739,689,196,042,609,881,818,217,547,
315,300,262,884,309,780,164,093,471,180,698,490,784,498,183,644,355,332,883,
912,405,328,188,095,797,774,569,268,125,159,423,586,539,751,730,526,936,751,
606,174,568,925,114,826,625,970,039,747,114,828,494,214,046,502,985,995,417,
464,073,296,457,258,728,912,245,500,880,070,817,005,874,857,447,268,835,729,
718,334,736,745,861,036,032,972,386,600,612,367,385,375,025,554,537,166,021,
624,512,647,099,210,334,875,758,966,581,997,271,166,271,976,195,430,502,334,
140,349,056,960,658,183,320,515,030,236,377,485,248,571,827,466,732,063,531,
759,560,053,682,801,086,572,515,592,743,797,033,221,921,186,388,082,583,898,
218,262,566,196,550,619,333,264,102,918,660,814,271,443,783,101,838,644,965,
288,331,013,578,619,527,589,332,297,129,686,440,537,766,072,537,414,353,069,
685,820,295,651,192,644,915,764,646,367,174,993,511,787,708,343,289,746,115,
686,346,528,463,181,645,013,266,908,655,186,040,079,778,148,544,406,798,573,
427,803,193,855,984,066,138,726,305,428,115,007,054,266,413,771,493,303,687,
649,703,388,606,650,680,754,788,059,442,000,929,921,992,756,904,268,244,043,
974,071,675,840,025,990,326,352,276,199,741,550,776,467,922,954,523,655,128,
148,116,698,598,461,805,173,652,988,426,889,197,322,721,300,577,404,218,796,
239,079,205,663,194,043,065,767,197,435,488,461,948,384,179,143,147,892,927,
956,651,395,108,034,304,754,715,372,142,485,684,456,393,036,346,907,271,496,
969,406,959,634,031,637,257,421,577,832,173,609,861,703,110,285,985,454,300,
917,372,396,360,938,809,353,804,636,654,955,392,213,780,213,611,471,113,974,
035,278,230,778,935,212,799,475,953,214,118,371,120,816,533,348,462,230,973,
444,035,492,287,803,921,713,122,302,801,900,143,968,809,602,783,197,833,824,
575,380,919,547,040,055,870,221,101,709,733,241,747,331,652,155,330,689,439,
391,851,078,642,626,601,157,188,027,504,816,350,783,544,055,418,531,243,462,
521,928,951,818,428,785,655,462,058,476,239,606,613,292,585,265,008,610,363,
795,954,810,457,290,328,453,318,257,145,725,359,637,645,118,983,551,000,118,
565,804,316,749,008,560,031,660,453,754,675,797,278,845,580,580,622,713,482,
566,714,988,792,063,151,812,247,412,261,705,966,960,385,389,441,307,983,452,
717,583,064,315,701,713,794,997,273,663,573,342,083,914,173,334,889,502,439,
857,188,099,045,376,989,922,291,826,842,180,472,916,637,583,873,858,462,275,
036,070,376,246,034,791,363,147,104,533,189,372,410,847,562,490,984,305,037,
265,610,463,322,836,479,374,619,810,480,169,246,266,256,312,571,115,607,726,
041,466,776,744,360,143,320,612,163,090,329,559,254,901,701,316,484,050,581,
163,152,123,120,477,090,189,392,010,661,854,503,592,151,820,528,717,466,821,
501,569,573,243,822,200,609,239,746,456,640,095,632,677,245,645,388,960,818,
303,707,890,693,100,921,928,231,652,351,920,808,392,545,051,536,143,580,353,
348,187,037,936,919,002,522,593,553,048,769,523,028,026,741,107,225,909,167,
338,864,199,214,744,874,543,569,692,266,857,528,482,185,104,893,973,675,415,
747,900,109,568,264,114,756,883,166,490,834,395,334,784,474,767,528,486,701,
005,711,920,748,956,626,292,273,172,956,971,563,139,311,543,572,502,846,920,
187,500,507,582,651,421,495,852,997,495,882,291,876,028,781,376,635,488,601,
468,030,154,276,535,408,003,119,390,117,632,363,020,651,926,891,535,890,303,
983,906,278,579,792,826,671,798,254,306,050,264,654,169,313,215,701,334,291,
794,267,374,535,219,843,760,929,717,812,375,467,759,664,136,133,673,134,757,
331,544,172,436,195,118,634,906,374,319,187,931,419,389,939,600,719,608,362,
191,283,510,313,547,123,142,739,469,467,542,746,092,148,238,515,846,521,190,
640,378,596,310,284,523,859,648,261,794,719,883,525,211,867,949,816,230,446,
854,743,780,933,857,963,174,130,080,920,526,105,623,453,970,274,940,114,051,
604,445,513,962,969,627,214,899,422,125,219,094,923,541,608,445,020,720,254,
983,709,287,455,590,921,308,771,243,145,368,713,335,460,296,192,212,536,634,
873,487,712,881,572,514,726,085,143,614,809,680,605,297,820,573,373,695,205,
529,229,936,603,717,486,791,855,127,573,462,832,768,663,620,638,435,506,506,
230,824,734,485,990,023,330,987,136,143,689,692,477,245,612,116,910,137,229,
380,702,857,226,710,312,950,626,713,644,585,282,233,329,675,060,310,460,489,
312,568,850,901,910,736,104,524,636,785,082,881,953,728,018,636,975,491,072,
520,393,306,570,995,668,786,078,298,435,997,625,672,745,462,555,085,670,100,
424,531,953,654,008,836,415,709,164,908,610,687,910,113,488,497,424,389,106,
071,220,829,210,984,978,678,500,010,585,729,502,636,262,530,083,285,330,757,
960,920,857,972,217,227,177,715,997,943,126,137,628,017,221,528,712,048,590,
117,755,870,488,027,619,874,518,206,520,721,302,644,105,201,577,598,214,981,
875,264,557,965,804,535,771,521,242,992,585,717,993,115,069,540,949,458,236,
855,445,586,246,877,528,945,377,095,637,913,226,686,143,669,036,300,159,879,
641,607,277,340,555,412,434,454,158,262,870,428,499,685,350,201,965,851,229,
187,632,309,185,032,660,953,618,687,862,562,131,127,934,485,639,568,837,045,
529,355,067,911,263,283,184,531,552,337,393,928,658,249,381,038,497,331,988,
199,157,218,841,940,882,751,071,437,907,557,878,827,751,297,780,354,891,714,
255,354,460,301,485,297,756,234,559,429,926,762,339,742,430,676,856,953,252,
638,712,091,385,700,428,900,710,492,926,762,416,818,098,563,544,667,317,660,
508,249,904,241,744,344,603,402,643,667,179,099,737,150,224,385,668,955,597,
339,571,915,648,856,124,960,543,327,444,424,041,542,673,101,552,069,935,061,
490,200,476,656,614,026,893,106,081,586,205,029,235,802,125,336,580,911,183,
235,573,798,297,127,317,749,484,104,783,699,423,665,216,798,746,694,625,448,
405,205,803,308,361,581,881,873,585,272,948,646,090,211,840,960,329,612,255,
169,214,017,159,173,960,760,760,206,037,406,773,518,907,427,447,697,713,035,
364,153,154,469,884,860,383,588,796,600,191,791,773,934,213,992,846,502,326,
472,432,726,847,648,211,953,676,427,940,936,690,221,574,759,340,610,503,721,
556,198,916,861,451,383,837,647,398,650,954,000,083,351,761,517,867,320,472,
012,284,425,514,089,286,650,153,046,472,263,469,497,829,836,899,985,201,333,
597,592,609,275,399,072,748,732,358,236,020,377,393,695,683,557,898,819,563,
790,589,815,907,824,443,554,701,249,361,166,002,157,912,344,429,632,759,541,
940,968,343,778,837,171,643,669,634,795,419,980,519,937,837,186,808,237,920,
488,952,493,435,611,586,955,931,852,841,007,632,304,071,054,565,478,256,688,
455,418,153,817,547,716,696,108,287,870,961,612,004,672,032,920,608,439,142,
583,424,314,735,879,572,072,180,697,757,889,862,321,065,945,434,809,986,371,
916,268,788,396,032,254,188,088,933,769,461,752,199,798,056,985,802,703,459,
265,036,635,771,219,555,336,774,671,381,742,718,756,012,566,453,690,076,552,
922,149,699,028,008,372,865,869,159,908,200,115,223,937,467,259,884,498,961,
026,123,500,848,781,324,646,133,535,811,585,199,987,822,575,701,560,902,466,
141,911,784,022,912,108,707,021,750,951,311,547,912,948,778,691,013,288,178,
617,659,073,476,017,997,481,909,341,913,828,798,668,501,422,891,230,193,773,
371,421,640,967,178,265,841,063,455,138,449,034,466,583,080,578,508,666,177,
203,115,349,500,377,761,005,462,424,155,792,204,158,172,408,862,741,535,735,
216,678,516,165,163,029,347,554,099,664,151,110,331,239,298,263,716,108,280,
224,440,705,831,303,388,213,013,951,498,148,537,823,794,620,158,934,961,234,
037,570,656,694,629,835,075,202,248,368,489,512,181,691,982,945,517,463,812,
062,121,660,782,120,844,202,319,379,612,433,564,333,743,662,424,426,179,175,
236,323,945,775,899,686,082,376,185,948,143,817,499,633,688,024,514,965,472,
398,510,116,195,378,349,385,749,925,862,216,689,524,411,076,720,907,922,806,
601,337,753,115,484,466,167,279,237,078,105,761,526,239,947,079,169,846,716,
546,349,183,990,809,180,713,865,665,355,937,931,453,846,822,549,697,692,782,
704,902,692,774,372,712,859,046,786,460,363,298,433,275,850,234,793,201,591,
418,143,878,537,404,740,740,255,396,553,782,027,797,679,203,087,974,632,954,
491,739,107,187,258,982,530,928,970,896,841,535,926,887,987,361,764,230,640,
405,190,103,337,748,437,601,646,359,736,129,876,714,781,159,921,028,594,572,
539,261,912,462,280,857,404,286,846,905,628,045,891,642,634,981,095,674,602,
663,435,027,069,894,364,258,517,935,948,965,819,078,355,287,920,639,200,178,
601,057,628,254,485,932,726,082,361,411,492,403,877,994,204,691,716,300,601,
396,227,518,778,914,835,676,525,954,807,506,284,646,233,453,260,559,777,291,
515,066,911,459,273,349,562,769,623,367,411,541,843,974,943,279,303,578,458,
286,467,956,217,615,023,684,177,296,710,948,580,682,174,595,133,166,858,361,
443,451,990,410,530,744,008,493,919,976,683,564,718,688,750,215,514,012,715,
225,770,738,040,114,842,834,943,592,533,055,801,629,953,832,609,329,266,441,
672,598,691,753,540,517,045,681,433,222,624,049,667,700,076,869,936,688,769,
377,243,404,980,515,424,170,285,114,726,953,837,052,562,172,412,906,943,787,
493,447,007,772,434,831,811,166,657,203,022,220,756,862,994,505,755,410,649,
255,392,042,631,503,242,208,841,236,505,823,375,905,744,803,953,491,827,765,
527,104,059,146,674,570,636,610,904,020,677,622,894,790,721,296,579,176,555,
264,627,825,376,229,532,682,895,819,696,045,660,413,292,847,148,897,348,745,
531,830,073,703,093,108,811,993,356,313,349,094,628,384,187,087,815,834,859,
172,482,016,089,490,196,838,140,026,589,281,686,794,325,583,147,868,958,372,
173,174,271,699,008,846,431,259,268,179,405,947,142,592,983,548,374,833,563,
465,021,836,961,940,921,688,645,428,978,046,843,043,016,208,340,687,841,146,
051,818,083,979,996,818,597,947,472,406,839,331,680,561,154,453,996,608,185,
846,095,749,009,244,604,055,378,789,504,351,480,585,487,678,249,501,287,102,
636,412,446,264,700,415,225,688,301,206,945,437,760,181,286,546,780,845,100,
664,036,408,298,746,533,923,421,966,233,679,392,805,602,074,969,468,908,064,
541,080,001,010,477,415,984,028,338,780,004,770,066,229,672,571,859,741,073,
462,808,135,812,851,850,964,621,186,809,031,488,748,923,422,606,328,700,908,
669,496,034,468,832,870,348,317,274,698,625,185,516,891,796,661,681,435,828,
671,049,336,245,608,698,771,657,289,362,030,813,433,193,284,768,671,272,241,
043,264,427,593,254,391,111,241,759,843,979,055,209,023,055,367,700,406,150,
877,233,531,985,175,344,232,843,386,243,192,277,921,253,913,707,918,528,161,
625,588,797,080,285,681,963,659,472,699,794,885,951,555,603,416,431,518,032,
083,363,472,318,092,564,858,259,549,539,018,360,630,556,488,531,177,075,284,
095,953,428,361,844,104,833,222,967,007,526,987,063,159,054,303,826,837,932,
081,176,975,429,724,734,276,800,713,002,124,569,515,842,345,685,695,132,052,
233,088,259,381,925,667,933,587,594,322,000,591,948,230,269,762,963,961,725,
181,181,628,451,863,581,292,478,596,349,150,808,247,197,292,678,168,212,557,
574,175,230,211,405,459,413,455,735,886,252,118,258,342,268,819,442,829,271,
358,771,576,811,946,996,019,111,488,467,319,238,339,284,740,480,064,526,825,
470,147,788,013,617,845,537,377,882,757,869,132,730,255,615,357,057,754,486,
398,223,837,709,852,354,289,707,365,063,091,374,231,440,426,180,080,636,534,
692,214,043,930,809,786,043,403,452,562,180,889,637,566,913,186,361,740,968,
797,052,482,092,505,236,246,238,794,796,296,954,301,872,077,219,308,324,823,
844,180,747,492,525,300,297,799,175,218,480,229,421,177,554,287,661,355,832,
659,123,973,917,638,131,213,718,140,246,045,499,151,866,944,870,482,012,786,
863,986,632,357,965,664,447,284,639,477,358,530,180,575,978,245,590,921,632,
867,275,115,407,524,901,659,678,816,420,114,197,642,729,286,658,685,848,302,
309,365,980,350,641,491,009,269,705,244,864,186,076,612,777,585,650,580,054,
404,744,579,336,379,751,069,614,817,268,303,872,442,155,048,833,032,730,905,
312,348,481,601,392,916,089,427,095,276,471,191,168,496,017,860,539,785,266,
803,516,927,170,114,793,762,572,222,318,731,978,678,687,764,768,672,063,810,
185,180,665,149,442,964,951,310,580,224,674,866,145,691,341,664,684,839,892,
037,946,488,065,634,069,000,326,745,190,713,910,639,521,566,815,725,554,732,
149,259,151,919,425,005,168,618,327,103,775,438,697,392,737,541,852,778,006,
506,308,088,781,803,527,560,329,286,176,452,996,642,472,396,457,442,024,936,
089,855,946,288,670,887,117,804,870,453,032,369,048,805,712,841,884,492,589,
971,185,158,937,325,764,654,224,014,750,901,908,931,911,907,736,356,324,133,
731,025,057,244,003,182,550,157,767,854,558,473,690,591,266,884,313,134,712,
108,020,017,053,763,618,951,378,534,839,354,020,596,820,660,623,670,386,650,
220,615,781,564,453,138,281,472,757,710,646,626,565,019,855,840,585,006,107,
420,297,237,341,496,127,617,429,035,288,094,670,404,829,371,233,905,095,798,
157,804,703,254,240,501,681,073,201,527,698,326,420,471,083,862,030,098,023,
439,775,638,283,117,367,802,095,459,260,243,719,955,963,523,485,288,842,464,
053,878,672,092,630,278,080,214,902,945,409,776,505,192,197,387,389,223,031,
246,172,857,291,256,919,427,823,387,712,140,146,586,691,275,522,754,330,074,
161,339,332,349,151,160,004,198,951,795,801,530,881,326,885,359,948,016,990,
994,908,225,355,988,118,960,428,066,172,657,268,885,562,822,858,179,605,623,
088,277,525,584,013,471,576,633,973,831,270,933,920,036,245,235,945,708,757,
405,870,202,715,902,869,777,343,243,018,247,039,598,226,754,989,798,279,026,
219,544,929,630,843,318,653,446,735,361,419,827,675,105,242,473,347,997,837,
426,240,008,663,919,054,423,543,046,204,932,740,269,412,497,547,027,231,441,
783,870,041,935,632,498,934,326,627,692,028,482,622,978,656,875,488,680,724,
305,757,795,885,798,398,419,669,281,619,364,025,997,867,165,510,845,482,894,
568,843,593,557,507,522,848,769,418,715,074,223,295,142,465,124,522,060,675,
512,913,175,955,047,477,982,882,992,366,725,371,546,808,303,193,482,339,424,
886,608,217,901,766,725,890,462,435,701,003,870,479,388,218,127,821,004,401,
878,583,568,383,034,750,758,688,060,468,111,925,399,718,099,296,108,562,624,
434,177,118,869,508,678,150,487,765,084,741,359,625,684,488,516,651,255,702,
601,576,402,379,742,107,800,838,319,593,325,864,510,884,456,527,577,247,051,
091,471,776,179,812,072,325,080,257,988,632,126,878,711,521,340,368,459,673,
155,833,341,840,583,110,620,708,407,192,210,772,916,534,599,451,105,561,620,
334,138,415,481,052,918,740,288,599,646,980,957,777,596,578,818,620,620,186,
778,720,394,408,773,581,008,007,030,342,073,154,219,912,178,768,160,424,970,
722,426,899,367,137,374,967,472,784,243,358,227,120,863,339,166,091,427,870,
900,521,008,027,917,061,136,040,195,745,868,640,328,191,907,175,816,789,493,
688,740,986,802,646,276,463,323,492,872,426,926,542,496,852,765,082,924,497,
566,914,370,909,802,273,577,061,866,554,588,758,475,933,274,608,792,949,957,
817,452,132,540,448,510,057,119,390,784,809,336,426,692,717,480,147,150,524,
534,695,276,459,402,570,095,095,343,711,116,792,347,428,731,775,171,825,967,
027,353,987,794,186,686,456,537,747,081,097,818,167,938,991,959,525,179,956,
924,073,963,514,613,005,603,874,100,634,145,876,003,940,645,692,949,092,557,
600,379,718,645,767,284,874,126,524,901,205,950,947,653,073,447,286,839,434,
731,052,976,705,925,558,755,573,670,452,314,530,541,225,779,967,589,932,872,
320,511,847,996,695,315,399,645,196,506,601,967,141,484,915,546,643,490,543,
539,470,137,500,501,806,156,414,010,136,024,998,737,608,048,185,268,248,893,
788,672,452,707,092,774,510,391,501,994,363,327,992,935,320,812,955,672,480,
320,753,846,916,796,556,484,180,921,610,404,918,240,628,828,042,637,799,324,
699,783,437,150,776,724,625,490,644,336,686,315,072,979,052,611,912,807,693,
229,065,155,144,865,248,456,379,463,838,955,743,342,868,765,985,219,709,792,
092,729,189,787,812,396,011,882,739,651,710,278,511,538,012,621,550,588,599,
648,905,934,483,209,623,369,997,351,462,443,537,691,581,094,503,403,470,013,
926,682,921,252,223,133,463,831,209,402,395,227,866,094,131,228,911,911,284,
755,166,281,884,328,031,880,564,968,604,631,102,410,736,497,628,557,206,517,
171,186,908,670,183,735,405,294,546,606,660,676,856,744,576,395,633,899,898,
104,824,590,293,748,944,581,866,442,173,743,636,350,050,808,562,267,645,534,
963,490,439,976,929,213,637,944,837,067,409,733,964,688,315,042,445,963,076,
418,493,078,641,205,816,688,971,536,407,657,585,092,446,073,622,603,382,544,
129,606,442,299,908,158,308,114,834,133,655,862,508,936,092,136,965,191,283,
721,794,357,041,347,916,623,881,825,880,894,376,754,318,033,048,174,798,648,
680,275,382,764,052,280,866,399,893,440,727,582,049,290,990,954,947,636,931,
284,224,026,732,327,872,341,688,870,608,145,134,136,854,646,340,915,535,515,
195,145,000,863,552,274,216,952,627,387,422,386,551,425,938,826,993,510,986,
962,036,096,122,328,931,696,508,863,520,085,677,826,473,972,524,150,108,414,
236,731,487,145,097,829,102,588,089,804,694,600,750,825,202,525,901,347,505,
290,446,453,386,032,910,498,076,387,143,171,199,841,805,941,957,853,312,091,
055,183,272,577,307,317,288,821,022,565,989,016,295,354,079,907,975,097,660,
489,525,515,629,821,096,407,371,145,927,763,792,505,581,842,582,788,666,438,
442,528,720,580,177,424,154,297,003,615,057,968,569,892,117,120,139,706,729,
771,962,274,185,379,075,688,983,619,543,296,336,764,090,043,431,751,908,819,
859,421,312,816,273,761,778,016,621,130,599,282,228,899,282,584,031,886,285,
141,357,122,210,860,446,818,324,924,703,005,782,703,781,429,295,597,446,799,
667,639,203,096,231,110,883,709,501,963,744,373,743,067,215,536,929,774,220,
880,550,709,427,016,858,168,381,754,572,927,482,520,075,015,640,856,277,143,
755,030,496,454,518,941,390,638,328,628,764,044,736,122,152,550,146,819,544,
043,614,614,767,345,143,965,311,656,021,924,656,154,542,361,897,744,676,628,
336,032,990,770,367,272,750,441,174,693,645,013,742,841,048,130,809,257,034,
175,332,916,979,198,359,394,854,772,579,993,039,983,221,763,208,231,848,375,
000,713,821,409,025,778,578,328,493,939,323,571,233,754,861,427,167,502,885,
160,201,039,139,873,822,360,947,693,803,689,669,241,484,356,339,774,255,447,
158,840,579,458,401,934,005,218,475,237,241,419,403,682,725,193,889,625,361,
664,210,826,935,195,706,145,431,196,578,116,023,534,465,543,837,818,185,849,
963,536,330,842,956,181,981,044,355,846,539,031,678,510,144,917,051,121,908,
842,145,188,710,032,485,001,743,199,893,125,956,749,772,650,831,185,995,473,
446,638,473,341,780,478,824,082,875,600,624,784,343,933,085,584,144,892,249,
970,653,562,261,056,907,720,944,241,613,155,228,455,167,811,290,144,878,540,
611,900,320,379,697,177,246,054,703,483,834,988,127,040,900,518,448,239,738,
525,036,665,565,136,455,583,782,480,925,670,376,210,372,853,189,401,028,289,
665,401,315,384,273,930,522,611,072,091,007,672,843,044,895,730,229,601,527,
918,052,993,602,390,117,689,701,819,489,545,183,104,380,661,371,702,981,112,
886,122,919,679,641,612,376,443,046,671,151,111,648,305,209,457,985,227,107,
898,450,603,324,903,934,139,713,848,777,758,218,880,642,334,853,939,651,465,
587,581,292,421,246,333,340,079,284,343,409,118,160,727,030,239,762,178,135,
881,478,464,166,696,617,273,932,783,990,028,712,045,298,416,893,636,514,707,
944,346,047,261,748,131,362,381,691,127,248,700,634,516,094,264,887,729,295,
403,266,572,049,660,755,749,601,960,346,876,626,765,112,269,539,221,216,184,
358,700,260,238,708,315,896,686,411,057,481,883,927,916,025,878,272,892,566,
289,761,524,414,347,486,438,286,748,703,629,298,051,390,317,925,476,081,800,
984,963,859,803,505,620,057,709,484,799,220,913,776,375,520,393,489,104,808,
856,538,886,483,203,730,262,307,100,979,178,169,923,075,754,904,611,462,772,
841,132,854,233,632,183,414,798,363,102,689,774,851,885,909,920,750,373,850,
383,671,513,136,824,769,254,162,205,021,302,359,831,864,089,606,787,975,430,
961,570,958,188,252,205,725,010,274,848,548,221,205,603,762,132,010,495,140,
861,258,569,515,717,091,491,194,805,469,406,355,976,693,801,522,264,167,626,
281,030,697,118,102,898,442,687,075,687,572,910,813,835,623,365,051,804,890,
003,898,698,575,169,280,406,637,891,545,878,885,161,839,998,033,407,968,452,
046,187,898,330,223,305,222,297,244,883,640,843,194,542,162,564,475,359,790,
128,218,139,605,958,615,584,623,886,656,619,984,633,117,055,335,203,365,494,
373,051,901,285,421,309,833,345,962,306,459,568,262,827,535,279,323,738,043,
151,852,411,321,171,953,346,287,526,600,519,993,548,159,166,990,367,470,072,
977,845,614,337,176,095,186,849,493,161,105,115,666,764,882,241,370,949,280,
124,244,414,667,555,373,390,761,384,393,172,329,604,565,078,472,744,694,244,
074,850,377,454,450,936,067,723,293,690,391,091,102,740,495,490,583,433,544,
892,411,409,763,628,203,618,797,741,137,020,753,190,588,417,991,770,484,596,
857,077,035,836,695,017,327,572,758,381,834,776,272,197,748,471,066,768,223,
285,963,766,911,694,069,877,651,434,797,405,140,276,063,659,099,078,121,993,
538,361,182,006,684,457,344,248,368,218,901,177,296,712,289,442,782,075,775,
793,992,341,084,718,645,974,440,839,358,892,238,335,645,477,845,183,750,279,
806,120,860,629,065,372,660,675,237,098,358,689,395,284,964,425,176,484,664,
593,718,256,849,046,751,479,716,549,324,950,030,813,030,852,512,869,620,858,
733,901,639,005,833,915,134,076,836,999,083,805,480,207,793,816,685,363,692,
826,264,388,517,684,564,057,651,600,578,028,062,323,927,759,638,001,574,213,
382,754,473,850,899,585,915,405,929,741,340,280,234,168,542,074,614,150,309,
569,306,895,423,412,252,388,207,999,371,497,733,310,693,081,958,072,798,430,
597,085,384,892,745,837,054,164,120,336,124,423,018,541,200,994,779,419,083,
872,175,457,759,405,984,570,950,408,780,814,904,580,448,866,771,397,152,611,
312,728,207,243,275,678,803,828,331,027,192,411,816,902,752,365,683,008,177,
199,257,172,867,134,407,116,438,228,963,596,522,632,546,371,088,390,299,176,
073,485,586,666,128,936,001,125,925,433,409,738,453,773,931,625,114,543,049,
501,694,551,423,788,590,892,847,552,468,835,009,248,404,271,083,312,138,632,
255,256,779,595,051,723,701,743,706,354,498,585,056,587,144,638,961,162,585,
712,364,671,450,292,977,606,468,695,412,739,882,820,039,148,880,745,239,559,
083,884,811,642,318,062,174,169,285,383,391,577,293,096,357,763,989,644,195,
013,031,500,022,861,697,013,228,563,586,354,832,554,724,163,412,168,184,892,
555,661,890,309,998,159,714,543,875,621,927,866,583,281,307,712,147,354,754,
668,171,564,963,684,200,332,101,305,883,507,960,265,086,659,962,303,680,016,
610,113,719,374,282,897,005,395,172,691,814,274,442,253,957,703,906,515,268,
431,985,544,644,808,173,016,506,272,276,822,447,730,283,054,376,454,309,956,
206,264,869,319,577,408,621,053,969,299,557,812,057,836,617,270,251,720,468,
901,938,228,877,128,369,726,802,882,733,322,507,016,528,751,547,651,637,559,
550,852,786,926,280,627,706,509,305,684,052,294,704,177,579,642,778,644,844,
982,450,867,413,592,694,063,848,794,982,456,508,962,391,794,415,670,538,286,
431,941,387,615,959,054,996,567,218,502,257,682,291,454,572,046,442,522,372,
115,773,054,144,500,996,614,932,960,747,879,240,208,042,214,768,058,997,548,
963,301,781,331,292,628,179,227,813,315,993,978,658,855,304,412,487,177,967,
030,997,419,037,409,324,754,996,492,269,623,327,015,246,307,556,878,433,335,
335,358,200,073,151,977,414,752,740,907,647,456,210,917,798,658,655,713,476,
385,122,285,034,410,741,988,780,800,231,771,143,023,921,044,695,175,390,503,
482,134,994,054,746,517,846,504,279,567,505,355,213,273,163,379,483,200,068,
806,677,164,292,297,771,049,782,679,549,979,811,448,771,683,351,323,171,177,
359,771,099,346,646,517,998,414,690,631,861,347,157,307,435,039,080,993,798,
156,329,617,990,556,314,012,299,184,106,747,134,172,289,874,882,610,975,819,
550,504,125,570,910,712,831,397,568,122,796,720,065,710,381,592,851,696,870,
006,850,539,281,970,686,223,897,632,327,010,560,789,515,511,462,193,458,366,
180,333,147,982,157,417,464,095,784,249,895,209,114,994,163,203,504,857,260,
656,333,986,208,385,336,743,601,673,207,963,920,355,100,555,668,993,254,392,
645,847,615,939,822,172,584,078,281,831,538,451,311,698,343,902,320,469,037,
812,457,892,021,329,737,475,787,417,261,635,512,424,246,109,071,410,838,558,
980,504,889,994,155,414,070,478,872,181,808,656,478,546,805,165,680,004,165,
071,674,490,163,250,512,110,369,552,103,875,166,491,873,591,016,259,515,183,
514,270,919,013,697,402,188,514,037,880,799,077,035,611,210,734,739,749,989,
581,555,331,097,177,316,416,359,857,727,201,486,836,605,745,009,673,043,138,
918,712,140,779,257,626,801,024,428,906,433,700,306,580,479,695,949,440,847,
510,508,784,908,471,014,291,902,059,704,041,395,849,624,872,302,286,856,799,
072,962,503,423,016,248,942,485,998,572,366,340,564,580,023,116,034,316,106,
113,316,572,352,853,320,844,887,557,437,103,614,850,815,808,767,864,007,939,
718,861,010,291,848,174,699,201,354,608,912,146,992,959,974,284,429,893,684,
872,853,440,444,599,153,912,501,758,469,873,377,687,706,668,273,674,698,310,
903,485,726,878,760,951,436,675,713,623,914,567,741,127,759,511,246,574,043,
005,331,674,241,730,014,564,264,539,048,579,470,073,978,826,063,844,382,414,
762,319,246,728,586,777,870,086,637,134,747,210,833,196,255,446,001,743,937,
995,199,521,917,886,930,232,408,959,848,978,770,058,325,348,686,243,506,527,
745,246,682,359,095,477,937,242,208,066,310,082,930,999,278,344,809,554,615,
794,545,632,868,343,939,381,429,891,856,139,555,094,065,373,919,046,153,609,
744,641,120,137,386,692,542,115,285,647,403,608,417,878,298,213,946,413,933,
369,476,931,308,058,784,603,893,242,722,297,251,283,468,650,414,428,740,868,
907,843,987,076,539,449,154,379,108,244,153,234,529,122,229,087,082,161,204,
452,089,375,332,247,097,319,516,050,956,096,565,725,906,554,507,452,262,026,
349,663,178,969,245,862,569,668,748,587,744,510,189,519,484,541,829,161,010,
967,484,580,994,180,399,840,595,284,816,201,766,234,404,393,812,618,079,892,
867,972,521,096,712,819,817,215,945,415,605,827,651,748,233,105,714,431,094,
628,579,183,545,426,318,429,295,565,504,600,129,078,861,882,277,569,988,408,
946,593,679,507,198,596,360,345,793,429,145,691,460,464,823,517,358,634,760,
224,002,155,719,356,663,421,086,867,579,624,942,901,084,894,590,363,621,010,
062,609,849,614,759,240,602,832,617,009,853,291,632,269,438,348,065,564,691,
768,014,088,441,435,299,738,876,233,128,969,719,360,768,925,667,974,422,431,
684,083,149,381,376,313,864,670,214,753,786,787,994,158,861,756,012,474,830,
415,355,249,283,632,186,189,846,352,537,971,507,036,968,977,178,731,581,854,
439,436,476,696,321,412,145,239,581,477,907,737,991,074,679,082,281,864,196,
385,775,734,030,002,647,130,688,157,412,524,170,514,376,960,826,899,080,727,
340,557,805,953,358,934,713,184,517,240,382,196,715,946,867,395,094,258,325,
879,520,684,778,406,739,757,570,372,735,275,825,499,551,590,613,980,749,571,
912,829,151,507,380,611,058,348,012,857,945,786,522,758,507,863,993,988,969,
363,266,426,482,755,509,258,503,183,678,843,328,495,171,257,350,899,404,459,
836,867,389,770,132,469,066,938,362,799,398,934,200,146,916,209,657,874,890,
552,946,008,674,419,636,064,739,419,793,719,333,662,211,631,612,222,926,163,
678,378,824,807,993,190,139,089,454,296,990,223,022,258,374,734,388,975,884,
569,643,592,144,329,479,448,411,592,021,193,051,218,915,016,872,336,784,342,
892,870,399,349,008,406,631,274,768,499,111,754,935,996,934,633,445,124,272,
927,148,961,525,157,756,279,781,745,749,409,513,023,223,120,507,182,528,520,
498,274,984,253,853,939,522,445,405,017,494,598,474,188,876,812,166,936,472,
883,793,874,907,925,920,645,966,965,870,931,636,990,237,811,952,776,167,125,
108,863,623,467,230,978,983,601,061,209,062,323,850,266,852,872,432,102,306,
448,334,078,053,302,935,798,247,916,712,121,002,096,723,577,403,687,804,333,
029,357,307,804,238,811,513,657,144,672,677,660,445,375,366,011,868,029,112,
378,684,059,977,484,910,173,419,719,491,476,400,237,836,568,639,539,226,069,
229,004,655,688,759,705,406,464,745,177,662,579,312,407,410,820,341,806,268,
210,925,514,251,147,620,937,722,288,897,086,449,469,303,282,410,898,757,419,
765,642,843,008,074,768,305,035,474,845,429,376,980,886,076,429,515,087,604,
914,496,621,522,206,395,589,662,590,166,212,066,042,724,533,546,957,456,720,
574,032,448,478,193,847,301,225,936,477,638,587,204,290,489,010,362,443,009,
981,892,286,192,078,367,535,519,406,958,962,076,968,681,845,590,735,654,944,
931,223,481,786,244,548,630,474,831,834,536,804,788,251,547,341,715,050,079,
185,240,926,014,039,960,243,486,818,923,650,543,460,916,271,629,962,928,927,
220,222,729,921,987,363,286,978,827,054,515,530,023,663,208,492,434,481,486,
980,078,079,959,636,977,600,731,158,758,227,310,678,563,052,083,616,296,965,
181,324,321,743,292,773,651,147,634,668,803,834,100,428,153,102,814,656,552,
208,628,352,124,493,050,833,769,093,560,667,594,140,851,878,173,091,793,350,
988,854,674,640,084,785,502,200,994,082,387,683,742,856,362,276,692,801,490,
537,517,524,751,187,098,140,179,365,013,673,896,465,298,529,441,259,799,214,
224,237,950,812,063,986,902,700,465,038,552,148,937,485,867,413,083,199,888,
204,883,592,275,215,276,145,798,098,993,119,644,093,596,234,285,368,154,975,
813,365,464,982,134,624,810,111,654,184,152,152,756,932,748,171,672,613,127,
797,105,923,712,605,044,192,593,923,959,634,347,199,977,171,675,440,826,334,
702,019,920,408,180,319,188,313,410,063,411,364,769,592,812,077,511,792,164,
933,761,192,515,819,674,451,359,158,870,282,991,284,884,754,683,257,856,451,
662,688,166,184,853,549,716,803,650,939,106,145,765,142,005,813,153,934,506,
488,702,855,090,840,410,858,054,322,502,130,737,038,913,026,296,111,698,731,
962,786,384,298,364,241,238,352,452,633,470,918,310,143,189,223,141,040,572,
130,743,035,727,219,374,048,597,792,185,008,058,036,687,432,534,088,150,784,
231,534,135,854,575,432,500,711,249,620,815,116,819,922,157,221,629,650,316,
145,001,343,552,027,369,389,054,913,356,087,030,579,444,233,197,798,109,218,
598,190,392,646,772,922,877,095,769,955,701,184,185,077,057,513,616,856,870,
331,191,384,352,725,496,060,326,607,427,397,124,588,368,006,915,232,466,167,
569,726,399,726,695,007,191,133,290,237,768,624,695,293,581,125,065,436,072,
204,115,774,387,314,241,496,924,064,546,509,421,606,810,810,778,186,983,976,
305,667,310,986,970,396,498,344,010,801,845,321,441,281,556,449,236,184,624,
203,569,366,344,722,262,023,972,858,932,028,605,494,880,092,014,554,161,584,
062,011,306,087,564,950,022,698,100,843,652,263,611,824,546,106,541,305,136,
340,239,877,957,691,749,258,794,553,744,732,877,073,775,196,288,447,457,790,
414,722,427,090,432,624,120,855,064,170,615,253,978,575,612,071,902,547,075,
462,361,660,048,108,159,711,629,535,575,328,559,795,782,616,369,514,730,887,
104,184,329,327,821,776,195,140,320,900,787,766,187,415,318,517,838,117,698,
784,918,755,291,577,202,846,726,434,976,544,836,238,336,737,376,631,009,502,
242,744,112,035,075,024,212,205,629,757,498,751,948,349,074,175,904,991,433,
048,760,501,854,448,206,653,726,729,796,970,514,231,817,809,140,723,423,511,
025,841,031,309,148,571,346,473,685,974,753,052,446,126,237,978,739,383,091,
716,955,215,559,981,060,422,276,423,971,662,837,263,874,753,375,495,037,215,
166,071,505,892,191,387,844,804,303,050,535,701,102,266,312,197,163,197,595,
888,547,947,886,471,025,047,333,221,113,787,117,032,904,787,705,114,697,618,
143,030,465,874,097,587,600,864,417,254,675,773,265,407,159,287,262,313,737,
289,797,065,784,206,991,114,997,447,539,909,457,404,031,469,962,088,896,593,
296,253,006,056,509,487,055,617,020,417,858,529,321,490,322,488,556,751,109,
166,982,360,342,074,344,774,916,648,455,125,030,081,200,041,596,191,135,911,
163,912,629,119,986,198,973,729,974,484,634,615,241,083,416,231,594,622,559,
605,587,012,652,662,508,295,029,783,536,148,054,436,221,192,726,301,059,676,
442,045,696,936,792,635,266,695,652,512,017,344,107,240,794,097,403,240,591,
314,594,896,916,404,123,328,797,427,850,784,661,596,064,862,340,717,600,850,
175,355,592,531,250,119,958,853,784,985,441,027,766,945,214,282,224,049,082,
654,965,797,906,608,098,653,604,743,247,551,212,399,382,224,339,478,676,571,
070,907,685,218,891,295,038,312,795,213,186,659,857,673,757,614,476,921,131,
811,824,397,362,649,073,965,920,339,564,017,074,464,256,793,426,231,253,679,
681,383,874,024,838,567,540,024,546,629,901,381,463,270,665,159,002,105,653,
025,955,553,573,130,279,037,045,208,733,927,240,759,089,835,808,959,639,823,
478,130,928,860,902,504,001,268,092,057,706,421,518,772,245,987,800,911,045,
643,062,538,581,866,782,874,804,100,566,719,222,029,655,203,767,110,242,285,
319,190,307,676,159,664,406,909,235,911,444,934,682,320,951,711,616,831,597,
963,684,325,737,792,628,707,385,573,283,811,701,394,168,374,170,883,717,905,
454,011,318,177,074,860,094,631,669,207,035,300,998,314,156,184,712,511,794,
830,547,718,443,568,677,504,891,454,455,454,962,854,857,224,225,194,965,317,
782,563,034,975,714,028,660,176,195,620,340,910,047,848,267,147,890,626,525,
895,415,722,602,599,170,581,871,884,004,470,572,261,056,973,430,534,763,910,
531,122,165,116,726,178,198,205,386,607,109,596,488,340,608,151,724,759,882,
774,798,445,442,090,384,627,811,001,459,361,102,240,253,563,484,146,552,381,
726,005,423,368,484,285,305,725,945,843,566,425,267,461,535,698,967,855,458,
901,244,548,928,608,235,589,401,552,055,006,550,390,096,667,275,508,768,625,
389,304,075,609,775,021,684,957,101,987,428,852,686,970,301,027,130,431,147,
009,565,642,538,081,154,240,731,572,129,142,615,785,682,071,808,013,327,076,
344,530,082,967,774,026,979,934,378,428,621,109,595,696,008,672,206,082,911,
335,544,263,197,993,431,916,847,950,116,399,330,819,639,604,638,132,661,650,
746,568,685,569,821,246,116,284,173,255,180,721,721,809,820,203,230,477,641,
302,860,185,814,365,785,329,137,533,342,805,614,577,629,743,800,155,850,288,
534,575,135,676,823,037,496,924,524,088,708,468,154,758,792,333,099,562,916,
387,599,733,861,544,395,566,309,737,906,308,559,904,377,429,737,909,865,387,
068,919,020,276,728,139,066,503,101,952,803,897,729,696,268,555,878,005,538,
139,417,480,214,295,576,764,405,977,797,578,446,861,113,353,502,422,285,696,
123,193,504,010,036,842,566,849,444,172,661,022,442,762,360,729,066,478,339,
394,341,745,386,658,962,307,840,108,058,016,872,015,422,379,770,917,217,107,
239,648,956,638,372,360,967,262,314,890,543,099,452,189,756,556,519,024,447,
547,613,580,534,954,398,360,933,107,046,855,357,220,740,863,708,106,891,647,
314,995,306,757,212,315,193,405,920,721,395,465,980,703,484,917,376,616,987,
988,536,720,421,321,844,993,736,346,578,840,380,089,913,796,304,520,992,315,
835,226,063,507,900,767,551,656,075,110,314,605,371,538,515,841,970,310,844,
843,321,547,008,307,004,963,484,304,499,591,579,668,566,731,404,981,026,018,
345,585,046,006,983,931,425,689,069,551,093,415,667,107,901,921,467,683,972,
775,277,110,473,625,553,955,605,907,544,336,156,231,001,277,186,253,182,755,
716,406,014,002,994,614,092,897,521,817,025,776,324,965,332,527,896,286,009,
355,642,447,181,830,332,257,142,671,895,656,343,603,701,302,784,147,635,495,
685,836,163,348,374,117,092,750,581,715,954,660,901,400,027,848,697,113,888,
014,144,139,232,335,462,111,525,659,324,787,037,595,765,356,452,820,954,744,
163,703,399,702,030,235,917,850,067,124,124,669,513,691,632,473,214,971,825,
989,169,215,774,328,751,847,629,328,508,555,234,117,743,673,347,607,181,829,
420,162,795,572,791,520,889,535,515,109,200,501,392,325,203,034,125,557,682,
268,820,286,045,941,906,146,892,790,620,450,873,353,645,343,045,883,122,086,
673,895,868,047,234,242,355,331,297,629,698,213,891,267,902,804,277,989,219,
213,936,596,691,291,642,019,584,970,849,316,566,329,049,463,723,425,234,914,
132,577,026,004,233,336,050,762,757,921,003,515,609,921,216,391,690,479,912,
553,257,814,483,195,423,411,332,625,536,397,930,639,432,755,708,346,200,328,
692,109,706,766,062,542,562,247,449,314,615,322,269,948,598,949,269,301,985,
408,097,510,909,389,042,747,138,583,193,060,618,221,072,240,917,611,130,959,
995,341,234,421,630,796,370,797,136,062,256,727,292,693,368,347,474,169,566,
276,843,246,948,016,473,790,979,158,275,018,992,685,567,196,516,043,121,156,
229,499,646,263,638,415,344,698,793,684,035,311,656,123,820,721,266,478,607,
647,213,318,401,427,045,599,545,377,819,100,457,833,593,247,274,406,192,425,
751,203,895,662,625,792,315,808,938,785,732,912,861,959,570,571,104,255,023,
305,183,423,039,155,311,077,727,129,595,618,012,177,517,839,233,122,020,253,
696,477,320,361,647,370,045,183,114,241,857,092,080,592,104,689,328,645,314,
676,142,555,053,732,624,458,643,904,699,496,258,776,107,629,492,492,474,272,
717,010,073,212,933,880,720,879,004,090,623,857,644,018,612,576,887,410,302,
838,011,421,428,139,700,007,354,163,592,177,086,753,925,367,550,006,589,785,
448,827,183,290,222,685,729,576,990,694,842,104,039,549,117,042,842,448,505,
157,286,134,332,490,146,848,518,128,399,789,215,934,043,626,389,098,754,497,
372,490,286,600,243,180,058,196,453,279,438,984,417,762,496,576,924,512,466,
987,967,623,321,662,804,937,522,709,347,491,833,192,726,872,459,178,404,925,
905,227,623,679,207,909,985,465,846,579,326,151,513,010,429,215,342,591,938,
660,945,014,709,846,598,252,584,504,870,506,853,395,032,998,175,959,495,151,
579,492,044,259,745,997,671,228,195,041,512,213,809,325,977,684,819,820,443,
066,915,308,599,497,739,574,520,581,047,907,852,739,200,093,534,597,145,651,
056,356,349,089,789,550,601,767,680,900,747,483,865,096,597,940,220,989,726,
246,411,097,356,195,772,491,084,046,999,266,222,294,665,805,969,460,480,367,
089,128,753,623,655,009,261,771,885,663,435,505,875,981,344,454,652,284,833,
562,595,539,563,726,414,880,300,952,519,165,347,305,174,790,379,093,423,875,
584,981,171,183,110,880,125,263,499,797,192,967,332,955,096,108,494,484,429,
415,705,669,044,101,046,929,581,711,540,782,323,441,601,744,374,684,125,615,
135,159,766,523,324,982,316,363,547,996,104,405,046,126,654,567,617,112,855,
824,539,525,972,355,170,852,868,617,871,708,884,955,125,388,428,728,845,230,
001,589,409,600,586,299,087,903,597,535,314,568,261,796,212,738,847,720,719,
300,768,276,296,002,370,355,984,628,829,277,034,937,437,034,865,139,272,370,
860,975,941,354,133,396,686,320,730,710,497,994,805,286,701,237,486,003,933,
967,229,393,288,745,496,474,967,151,472,662,343,470,185,853,176,551,391,976,
509,430,397,280,982,600,565,194,837,654,344,858,912,928,742,128,581,869,450,
211,421,193,606,991,777,495,824,127,424,039,550,700,010,884,104,134,147,535,
602,341,562,345,428,812,652,038,694,327,543,408,534,083,457,447,847,616,951,
092,015,732,441,619,657,073,707,694,906,929,223,861,552,265,692,075,951,175,
243,841,727,115,443,841,162,630,682,356,169,534,180,363,971,624,889,589,164,
369,617,536,767,481,844,520,124,151,170,577,187,173,376,853,667,066,038,267,
573,808,438,346,241,668,617,213,622,813,118,830,200,976,806,231,286,216,025,
585,248,718,462,719,619,369,850,237,848,389,540,306,295,219,634,791,958,688,
591,636,057,555,907,237,950,697,740,750,151,494,346,410,580,047,939,725,922,
500,266,073,971,199,595,505,217,264,244,099,324,745,835,675,165,639,159,672,
550,542,484,172,557,190,760,186,038,599,105,654,877,482,929,385,869,994,338,
428,243,173,301,353,601,481,621,183,908,057,206,923,808,693,898,017,698,974,
551,662,613,594,704,566,674,842,275,674,417,304,080,187,017,220,115,353,348,
691,226,003,962,166,116,369,586,699,999,917,044,716,417,371,567,568,104,897,
350,126,759,506,292,161,669,560,123,988,785,018,037,873,755,365,002,382,825,
694,525,624,665,037,987,790,051,877,197,080,906,468,174,829,083,592,235,697,
671,072,930,028,814,851,296,711,427,572,042,626,385,924,649,668,006,455,859,
415,045,968,946,190,964,875,787,247,650,351,928,628,657,002,147,598,381,094,
338,758,921,973,580,085,393,582,248,710,214,751,475,376,081,704,602,420,911,
831,199,758,565,422,236,625,541,029,196,996,730,337,465,544,532,237,324,860,
404,365,100,491,105,071,253,736,580,709,507,514,448,356,405,004,360,460,129,
846,616,887,242,779,141,205,402,993,593,463,466,521,105,357,660,320,589,841,
947,898,206,394,211,200,457,434,908,450,596,545,822,845,804,977,201,161,005,
434,054,640,050,064,904,397,028,309,317,457,501,623,402,620,597,004,954,588,
395,112,668,670,524,750,599,470,564,699,838,520,663,829,992,323,955,352,823,
321,653,799,573,552,484,305,184,170,126,198,616,632,448,464,714,752,061,076,
241,770,944,397,967,600,727,707,027,351,371,190,661,253,557,428,823,510,356,
694,383,652,403,479,944,046,800,587,796,098,199,690,004,983,778,666,552,489,
011,831,386,333,825,122,958,947,359,925,077,792,542,029,302,178,916,843,701,
437,148,698,995,917,362,981,154,162,847,345,947,780,088,814,038,302,755,045,
206,290,268,277,333,648,187,114,908,852,733,228,988,491,818,477,713,226,305,
023,916,494,448,581,741,031,771,232,206,536,520,138,837,075,028,287,825,632,
166,907,709,721,502,781,070,461,260,104,816,186,962,881,428,278,042,863,151,
589,677,452,609,524,838,865,267,206,073,130,260,321,742,388,950,683,814,015,
359,286,947,331,266,600,431,458,191,058,764,731,486,239,414,356,906,564,472,
138,459,872,144,714,207,715,311,332,966,889,323,747,607,260,760,115,145,711,
933,802,428,865,141,542,229,128,257,089,850,139,344,543,852,141,570,697,695,
182,418,750,739,978,549,016,540,680,034,194,095,049,439,116,327,332,299,591,
830,379,090,907,246,934,205,543,653,734,507,443,977,360,326,417,152,218,404,
751,441,441,317,458,973,649,482,988,078,883,918,739,791,529,086,157,196,940,
770,606,823,821,689,528,949,173,231,635,624,060,674,431,952,220,861,034,105,
128,850,701,063,942,715,672,507,641,990,639,509,765,390,330,116,701,325,610,
299,377,564,395,379,262,169,351,438,035,264,512,970,649,453,342,226,396,629,
298,394,050,498,264,729,678,035,671,654,573,711,342,207,370,871,696,645,469,
175,986,235,324,132,668,184,381,195,715,789,296,872,127,650,540,831,746,498,
989,982,667,499,339,955,250,284,797,157,380,174,507,499,310,496,405,737,854,
071,448,089,486,124,790,866,984,827,076,609,978,277,198,629,048,539,705,736,
343,820,720,654,740,648,240,097,262,618,972,646,996,451,689,026,273,507,822,
804,066,396,654,374,081,858,260,214,017,733,368,822,763,828,516,784,823,057,
605,211,346,053,930,884,289,013,172,195,129,947,474,950,082,136,088,641,950,
248,282,488,080,325,210,668,962,828,514,515,822,488,344,201,679,256,192,780,
136,458,410,895,416,919,426,868,092,041,117,053,701,250,093,736,943,463,556,
646,608,272,789,271,158,709,149,805,488,986,402,395,130,505,645,856,991,450,
260,151,209,917,110,931,160,177,512,529,542,157,405,975,256,823,090,750,530,
636,816,807,659,151,397,520,757,034,708,238,894,300,902,041,572,702,833,216,
600,524,645,842,184,644,649,229,760,601,894,643,688,439,872,199,983,551,901,
914,823,049,015,319,286,954,949,532,006,080,467,076,161,327,904,565,671,468,
259,061,985,848,930,598,297,695,636,248,248,258,487,733,236,906,051,143,625,
634,605,726,951,225,765,175,857,760,457,075,267,263,819,667,146,609,554,622,
241,100,918,432,439,590,476,862,735,975,967,345,232,914,349,479,751,325,366,
003,624,014,793,030,308,241,726,046,939,855,463,767,229,209,259,184,428,022,
072,506,728,359,491,635,772,714,125,232,290,656,112,656,339,860,851,206,426,
400,920,498,078,387,620,312,884,215,167,453,718,261,435,509,886,407,626,018,
393,547,629,931,482,876,510,623,589,421,775,347,290,275,127,515,408,132,389,
636,484,519,550,436,903,979,342,004,439,814,761,176,851,876,599,885,933,325,
123,971,584,184,155,121,484,867,604,545,935,087,267,884,702,055,532,002,213,
430,032,423,241,905,078,531,257,951,258,228,578,525,141,089,326,344,831,902,
251,647,103,809,524,624,310,460,683,026,489,119,645,657,231,711,786,941,213,
722,725,955,893,280,384,308,144,376,615,510,798,573,146,565,479,016,303,625,
682,134,101,290,737,751,802,497,390,205,439,972,629,736,197,087,746,906,768,
347,938,702,427,144,889,749,657,471,574,192,386,502,398,874,173,685,876,067,
559,647,867,594,178,111,725,415,809,101,756,275,124,993,775,503,737,121,877,
609,231,922,259,772,959,195,150,643,514,374,966,965,231,148,245,511,408,877,
451,424,577,636,417,085,867,542,637,281,972,573,116,116,148,716,218,842,174,
428,945,540,412,114,120,541,138,302,021,771,160,734,065,343,744,225,901,217,
200,007,198,350,280,498,813,368,359,406,546,266,083,869,728,983,204,485,018,
682,806,732,738,177,167,140,735,777,517,637,482,699,553,041,169,184,709,082,
550,976,223,175,563,741,514,046,440,889,595,313,592,208,419,882,191,523,114,
376,581,429,803,004,164,862,918,059,949,660,054,378,123,681,384,068,862,947,
878,754,266,575,347,754,129,689,473,427,906,405,602,380,736,528,058,082,225,
402,876,045,967,059,202,375,751,050,387,236,727,087,948,136,835,709,086,185,
335,630,505,166,786,510,202,708,840,144,048,487,898,474,432,156,538,472,973,
159,274,286,282,100,475,431,780,848,084,936,196,146,295,580,028,211,637,941,
940,745,302,341,650,404,219,413,565,521,906,443,734,877,239,027,551,004,004,
992,008,208,218,289,852,064,048,503,408,831,553,212,637,744,861,593,785,412,
195,121,974,821,484,012,964,844,569,430,226,277,536,951,656,685,708,877,715,
049,637,749,894,365,365,013,392,612,188,198,275,382,244,159,167,364,734,503,
363,738,800,581,349,827,451,658,125,394,685,745,098,404,596,253,812,338,603,
589,065,220,556,979,679,483,072,969,070,001,185,459,640,999,712,568,194,888,
319,391,491,555,760,898,835,026,682,386,474,988,318,097,328,723,218,814,432,
103,618,168,736,269,235,822,206,828,231,399,405,505,217,330,562,372,308,254,
473,934,727,207,237,855,287,416,991,710,926,298,638,555,179,253,778,691,103,
643,280,825,452,613,245,303,263,425,858,845,475,593,003,246,428,978,873,120,
459,040,800,508,209,463,938,693,466,692,926,464,879,107,824,757,678,542,472,
088,374,563,354,463,931,910,012,770,071,996,770,091,439,783,569,388,124,461,
438,142,759,572,242,333,128,742,114,157,516,099,435,032,135,004,642,843,192,
195,198,767,039,499,592,931,673,035,756,581,759,820,736,932,785,679,973,906,
661,945,435,297,129,045,225,906,458,396,084,984,146,090,423,536,625,620,868,
108,906,816,678,539,598,989,606,839,944,024,867,817,596,228,833,949,795,502,
125,234,394,271,106,377,861,360,125,987,168,653,066,265,147,667,926,867,582,
188,428,159,731,561,712,503,015,038,204,597,775,912,253,134,387,876,812,059,
376,058,137,545,909,116,545,155,301,918,701,736,969,530,855,528,667,182,763,
304,249,106,064,334,751,131,674,585,992,259,120,321,143,260,570,418,007,836,
338,162,007,888,574,161,935,602,793,631,622,952,716,212,184,699,078,990,148,
676,095,843,884,385,360,811,605,082,129,507,068,105,863,481,176,735,934,187,
496,716,720,356,796,307,294,897,703,299,939,176,388,920,388,645,647,465,463,
437,780,889,140,403,431,720,302,554,867,876,913,917,696,281,449,826,512,218,
711,957,827,878,249,672,708,713,553,477,262,150,590,059,220,468,577,710,463,
849,280,296,744,814,152,911,789,081,429,890,896,638,910,853,220,860,563,745,
348,278,195,982,831,972,631,264,107,790,561,896,097,260,551,777,607,799,852,
720,172,010,577,540,963,087,144,119,994,207,999,926,079,370,319,506,036,824,
545,002,970,176,432,018,843,507,363,149,534,330,318,904,809,151,456,538,573,
371,381,940,533,287,515,988,544,868,091,818,062,061,539,333,036,354,861,908,
363,488,012,175,274,069,213,366,470,305,210,823,495,896,346,084,152,883,036,
163,079,594,317,775,528,276,770,230,230,808,182,624,595,480,580,999,971,891,
133,238,294,520,363,429,056,809,801,061,149,128,862,982,828,313,559,890,400,
125,318,631,315,374,932,410,046,752,052,996,059,014,902,886,945,328,090,490,
124,460,691,744,846,063,177,677,114,631,814,568,930,999,591,206,914,132,728,
312,586,983,661,901,891,305,805,106,446,660,704,797,483,692,590,040,731,486,
626,173,450,593,676,624,234,425,447,739,841,779,077,564,029,526,912,623,216,
660,923,272,476,827,689,440,229,379,602,026,556,185,826,022,375,649,066,134,
949,780,087,604,590,304,126,780,011,313,672,849,311,369,273,687,430,649,186,
958,471,300,666,409,280,349,236,012,131,978,733,698,420,036,092,086,676,781,
326,266,025,673,637,046,918,015,133,198,086,567,298,742,707,845,720,817,456,
270,451,203,273,625,625,598,301,553,147,631,701,018,923,015,603,561,594,159,
031,617,610,851,903,582,288,175,706,096,765,427,511,732,745,777,233,054,295,
598,725,650,220,849,551,912,024,024,153,025,735,934,044,062,518,390,125,060,
084,553,585,513,358,158,809,225,405,368,241,487,394,582,847,085,981,996,786,
701,610,151,122,067,278,752,262,741,805,448,494,103,345,488,687,332,123,987,
953,967,897,038,625,715,388,061,306,316,534,137,891,975,385,200,597,300,612,
962,885,768,388,478,089,608,037,451,332,227,465,858,181,222,288,236,089,273,
982,438,850,822,665,940,370,658,511,018,805,012,243,497,014,938,283,520,181,
361,901,410,469,914,980,670,662,122,135,840,085,300,673,421,027,089,115,038,
811,604,182,814,617,769,209,339,275,343,646,843,171,882,338,204,261,493,947,
247,857,127,326,604,498,715,876,420,227,560,006,990,543,802,078,803,321,892,
109,415,512,384,532,535,567,115,636,504,510,123,147,096,699,030,732,353,040,
001,223,675,864,153,970,168,031,989,074,561,121,634,206,237,229,603,797,127,
406,648,075,762,494,351,195,640,950,241,320,987,519,219,356,042,282,893,187,
909,391,331,767,429,143,373,563,428,219,274,804,915,695,624,270,253,272,025,
228,457,507,244,924,777,763,990,560,501,155,776,596,380,977,158,406,151,044,
813,051,344,984,871,005,891,992,616,320,103,833,227,218,998,576,009,982,313,
429,006,854,695,972,698,396,099,206,042,557,450,460,677,741,705,676,458,283,
994,589,527,878,559,506,751,154,621,160,898,133,598,238,034,539,508,452,654,
628,115,530,763,865,372,335,537,998,590,931,561,381,500,017,299,319,789,782,
501,816,769,910,574,254,346,422,391,457,700,681,097,870,362,140,042,595,671,
504,124,460,251,359,937,289,825,037,295,544,769,062,047,176,184,212,862,211,
277,983,131,676,351,118,500,862,157,952,303,762,334,047,938,019,899,119,934,
220,024,901,370,891,618,042,632,587,688,646,734,270,025,321,424,836,350,167,
340,809,048,271,747,725,997,956,024,293,474,522,046,395,022,656,555,646,514,
434,096,242,590,691,118,880,100,835,998,357,379,367,634,409,975,089,842,491,
653,215,678,659,572,755,488,975,308,013,606,761,557,082,720,761,911,203,610,
681,862,041,359,792,411,538,688,434,609,635,371,528,339,175,636,827,742,194,
517,518,391,201,082,943,163,664,315,217,663,503,861,989,926,182,943,495,568,
365,735,182,633,816,829,644,862,018,728,508,761,340,826,157,515,292,371,180,
524,898,564,187,379,560,846,510,272,657,739,464,084,314,427,853,439,080,899,
443,493,390,817,044,112,368,482,925,765,256,656,962,668,272,685,985,644,873,
648,010,998,312,534,923,156,517,159,177,646,505,294,969,551,892,875,719,668,
323,370,494,568,173,165,234,013,618,247,264,860,683,561,012,351,596,511,848,
315,857,513,581,764,318,390,619,223,718,967,928,350,753,191,767,758,502,072,
271,111,815,248,998,725,051,479,732,305,630,299,194,611,506,301,799,732,606,
018,415,900,805,499,422,564,652,625,288,647,983,038,613,646,331,981,818,035,
528,266,857,797,786,574,305,546,348,350,755,258,981,261,601,570,770,776,358,
202,613,782,286,186,987,709,984,327,384,785,003,054,298,520,337,330,318,303,
453,976,905,224,125,906,038,905,449,887,738,497,257,408,364,023,601,890,006,
284,984,192,027,787,106,050,939,442,998,212,672,061,140,100,833,303,969,195,
103,814,124,454,068,359,990,522,360,727,875,648,766,394,535,521,474,127,032,
895,306,442,146,244,291,478,228,114,268,889,376,210,347,589,875,247,933,161,
706,547,647,283,686,390,678,013,479,865,319,477,153,236,508,960,766,574,196,
337,894,835,602,647,512,533,005,852,731,295,510,960,856,199,267,857,759,174,
430,353,966,927,225,808,893,229,927,866,551,274,995,184,238,699,811,086,577,
762,772,472,735,334,369,233,612,351,474,367,595,656,080,411,482,406,739,017,
540,757,249,786,862,429,615,907,344,803,528,940,415,266,270,717,652,895,204,
591,266,430,987,371,286,051,856,793,684,360,055,604,763,997,199,720,022,877,
041,150,614,919,707,362,015,922,800,899,870,727,574,685,630,333,905,757,454,
664,943,677,485,258,612,745,344,508,641,377,606,546,561,235,477,061,375,794,
663,551,985,522,537,453,761,625,945,501,585,603,627,068,240,658,470,855,461,
532,473,512,935,497,099,736,839,309,165,902,202,424,763,178,644,841,847,640,
503,040,552,350,483,904,628,564,818,938,335,269,984,052,767,963,507,530,380,
890,326,688,614,274,016,819,643,992,226,523,049,543,483,832,771,727,359,285,
415,517,851,850,766,058,392,496,921,463,661,733,534,778,849,727,715,001,997,
168,656,155,076,859,005,877,178,334,302,796,487,445,964,675,295,658,335,191,
738,681,581,164,961,210,142,242,592,994,658,358,366,696,097,265,342,029,621,
886,252,786,279,672,349,489,162,314,743,494,589,621,474,180,157,297,175,596,
774,359,346,971,534,085,449,676,664,775,581,779,251,912,963,701,175,558,788,
966,121,546,190,727,280,421,211,850,185,874,464,325,323,880,763,218,192,683,
936,360,456,466,953,694,179,305,765,583,978,867,059,500,914,528,348,116,570,
259,417,330,205,268,177,832,129,873,970,609,135,551,832,574,976,895,026,155,
406,650,384,325,087,316,505,210,190,925,212,321,042,146,545,207,921,870,603,
117,361,454,283,575,879,468,412,857,155,316,418,713,441,321,759,633,214,740,
392,019,761,561,764,189,034,566,540,402,320,640,050,168,280,236,493,077,880,
864,236,684,929,499,573,155,385,015,023,073,155,500,692,618,045,206,136,232,
807,909,109,060,065,869,221,145,241,734,344,964,603,936,037,900,895,621,959,
292,838,350,882,898,302,153,706,239,853,002,664,616,547,152,118,181,466,045,
449,858,579,647,784,810,086,861,057,259,331,793,472,247,700,446,413,403,247,
847,703,046,547,566,753,588,995,642,139,733,017,640,723,487,322,383,603,810,
637,014,012,149,084,329,370,668,998,302,495,936,520,527,829,610,144,824,145,
741,650,187,803,462,115,378,704,980,744,299,716,605,186,360,355,213,872,929,
003,163,536,732,450,099,267,197,114,940,104,383,269,395,942,152,641,510,214,
283,097,759,560,854,397,280,908,215,691,374,794,928,306,298,592,892,864,039,
758,635,167,398,669,589,268,651,147,844,377,714,700,896,253,449,008,247,951,
779,090,482,488,728,465,305,815,426,775,906,126,412,114,285,227,862,863,325,
081,457,237,245,038,930,033,549,258,273,500,217,876,368,702,753,246,452,337,
503,887,950,354,445,010,164,519,821,861,413,591,374,359,728,190,138,584,609,
545,855,109,723,821,281,449,066,564,992,238,919,719,665,540,343,267,157,983,
553,845,145,049,088,341,620,100,874,359,955,445,049,785,558,358,423,211,721,
739,654,254,381,918,601,736,162,294,206,887,264,635,676,731,173,682,957,911,
240,743,354,196,223,340,521,368,489,014,010,917,768,797,194,142,666,622,180,
303,123,471,805,620,933,997,814,165,090,097,586,559,811,842,472,588,438,685,
093,780,458,426,075,508,883,079,840,240,533,064,950,387,138,889,275,391,966,
754,039,892,315,582,028,789,017,633,945,353,464,086,912,148,219,864,165,025,
071,113,202,131,153,013,326,466,574,938,109,006,807,695,607,596,469,309,372,
168,762,320,809,544,544,500,058,244,357,782,179,010,061,081,033,406,620,964,
422,707,435,373,444,189,647,449,962,595,987,580,570,929,203,459,150,722,190,
888,088,967,822,072,695,232,585,693,187,537,135,222,040,819,037,027,846,455,
354,270,823,324,933,924,712,743,852,559,006,954,549,234,064,193,282,100,574,
048,866,250,389,487,481,360,027,008,841,234,402,925,306,941,571,442,551,722,
333,042,613,096,780,541,845,211,589,920,250,119,949,485,692,848,752,902,845,
447,149,559,114,766,354,226,856,294,282,155,325,135,888,654,807,102,991,480,
552,956,806,269,600,949,975,564,340,038,466,187,990,953,233,430,508,979,146,
738,580,099,639,687,930,158,269,622,432,256,384,313,136,869,467,877,816,149,
191,431,585,619,079,170,657,890,839,175,600,560,901,163,364,796,422,200,358,
268,098,462,889,089,059,580,828,602,569,394,306,814,195,874,623,530,287,673,
635,317,915,122,878,243,598,377,162,842,629,649,227,727,680,284,186,635,883,
484,147,320,388,242,123,257,588,166,279,627,656,566,156,438,920,250,852,362,
267,175,170,268,865,301,046,766,852,658,619,198,315,931,634,083,915,432,086,
765,907,997,634,071,706,038,971,841,259,764,476,016,200,665,987,617,117,519,
342,512,661,885,708,008,466,291,112,975,601,715,026,441,940,314,067,512,473,
748,610,472,779,849,096,302,160,728,111,837,550,774,644,325,021,175,478,308,
945,668,387,920,046,410,142,683,906,258,450,075,507,695,609,312,869,818,562,
409,294,746,716,830,409,160,340,184,353,900,681,780,035,591,747,263,832,282,
014,253,356,310,508,906,372,494,248,069,180,974,412,188,189,859,228,391,602,
172,422,040,170,507,078,734,974,374,744,326,146,813,968,078,697,804,400,910,
472,418,804,952,121,974,396,233,762,456,502,194,085,697,628,645,193,004,365,
733,106,188,396,289,491,863,492,709,822,272,497,717,834,132,148,470,630,599,
802,042,580,332,125,542,006,744,549,226,628,960,347,240,852,669,599,330,968,
660,926,741,509,534,536,875,626,720,807,138,480,887,718,467,675,598,482,578,
671,133,709,193,351,336,041,652,808,341,630,047,815,626,183,364,136,944,016,
907,279,275,814,264,462,617,613,431,040,031,950,124,839,336,209,177,599,180,
942,037,964,731,819,632,192,274,113,877,667,277,560,458,070,551,823,841,080,
094,202,691,247,836,676,901,343,190,478,237,569,493,183,094,221,365,897,213,
588,293,566,608,774,022,282,532,313,992,119,903,300,220,856,299,792,327,249,
995,621,963,110,529,525,330,074,443,547,122,858,391,352,202,783,288,879,923,
105,624,152,024,823,674,344,738,889,094,420,162,720,218,241,607,829,790,238,
893,616,127,828,603,867,065,357,207,193,698,556,186,806,423,031,016,703,157,
797,093,421,172,688,580,278,266,602,625,491,876,762,966,263,206,936,257,350,
265,434,354,015,581,103,206,267,402,671,042,571,753,101,063,135,779,815,215,
958,670,060,052,872,847,987,606,047,120,357,101,128,078,961,373,278,194,973,
364,060,120,505,242,676,316,973,280,433,102,896,410,016,308,838,852,715,701,
827,484,137,650,360,609,080,938,950,705,377,078,514,951,564,189,696,666,156,
104,761,981,361,955,732,377,700,140,113,911,175,622,108,123,083,732,222,471,
427,457,134,041,145,762,207,671,999,619,453,252,350,430,006,379,699,743,181,
691,770,708,888,054,574,577,253,790,919,517,985,285,137,408,617,731,688,446,
784,929,388,826,019,771,850,038,850,506,779,486,844,039,188,887,677,171,020,
774,971,385,575,762,339,351,761,809,142,071,989,427,247,804,737,994,117,252,
251,708,480,999,471,668,303,546,628,301,470,142,388,051,025,806,797,405,723,
778,902,303,385,656,832,561,635,829,145,676,666,990,088,457,609,986,757,602,
768,336,175,834,320,343,420,079,872,818,943,869,320,600,366,135,570,192,114,
606,168,079,913,681,575,239,921,925,627,623,032,756,793,784,898,200,067,016,
496,483,027,695,357,402,811,952,643,537,015,765,995,477,016,051,233,515,831,
750,301,215,883,619,263,383,731,454,589,662,908,067,487,041,835,890,004,301,
277,162,697,564,221,474,676,513,876,294,659,883,713,578,036,951,267,981,035,
575,215,305,726,954,812,433,309,951,634,539,826,982,262,752,968,752,788,690,
459,970,459,393,686,551,418,060,001,041,576,105,084,762,682,499,463,444,532,
030,184,829,921,311,262,480,628,737,346,328,104,628,180,176,145,816,998,674,
744,451,162,230,547,272,651,109,779,322,018,261,419,310,238,325,057,412,542,
774,445,283,333,853,953,885,733,899,193,202,900,250,286,645,371,796,875,554,
053,005,715,121,951,693,109,104,201,712,730,055,926,899,345,643,726,643,031,
864,834,545,579,964,262,216,415,357,338,292,445,385,650,930,408,028,674,932,
735,991,400,862,372,956,985,076,206,725,175,737,119,989,138,480,064,171,115,
666,635,010,155,709,255,940,866,020,585,603,794,806,977,649,381,460,960,683,
926,921,878,914,877,437,987,926,719,689,873,501,566,876,995,324,157,017,339,
124,474,300,101,456,712,877,576,552,084,408,247,445,987,487,163,997,449,942,
146,337,736,981,439,234,138,243,278,778,516,377,644,235,700,014,751,137,132,
576,496,884,110,217,259,340,800,948,092,084,896,804,193,162,077,936,096,836,
241,204,577,307,668,004,360,473,910,146,592,752,763,614,128,023,334,103,537,
673,742,697,664,645,593,845,414,432,527,551,502,005,888,047,021,529,222,861,
328,216,287,566,544,228,410,021,844,949,822,518,238,510,326,209,582,066,137,
210,284,727,882,329,540,599,020,553,357,827,156,574,191,674,786,522,783,536,
403,363,222,893,183,526,468,776,866,107,017,787,765,919,296,651,242,472,322,
546,654,437,135,185,418,679,777,196,032,023,706,525,310,423,350,904,236,827,
667,737,636,943,363,667,325,940,496,495,440,342,229,940,548,094,312,502,929,
342,528,098,007,279,646,991,254,186,521,926,886,078,966,911,996,685,458,305,
440,393,671,348,880,579,192,025,545,813,432,080,549,872,366,361,249,099,511,
171,965,657,338,890,750,828,979,480,269,948,486,984,540,360,605,792,642,817,
572,231,654,356,083,555,059,144,435,079,749,530,253,722,546,755,421,981,603,
553,133,947,772,083,621,507,399,615,931,310,613,677,698,427,149,642,284,882,
385,732,123,864,173,113,127,471,356,260,513,938,382,259,955,522,265,906,523,
867,538,194,212,862,928,333,701,375,161,735,539,817,522,395,865,750,394,518,
544,543,349,106,801,614,569,821,838,356,496,305,257,595,938,876,979,838,713,
207,749,760,587,771,374,485,794,259,523,724,838,359,939,285,967,881,046,060,
705,659,049,592,453,399,474,276,275,616,232,619,159,778,929,004,912,047,691,
572,112,544,218,894,375,358,843,451,735,690,040,871,721,365,236,408,614,082,
432,744,517,781,699,021,441,799,176,937,849,433,514,620,473,501,471,242,744,
093,195,575,331,442,648,389,396,318,782,721,039,925,470,441,993,527,127,242,
670,809,148,320,222,421,128,441,214,269,911,349,037,106,810,479,187,253,345,
025,382,778,545,429,530,430,009,171,723,563,605,806,853,579,685,111,789,240,
616,264,362,654,267,279,151,969,645,697,719,358,368,124,382,481,006,775,811,
919,722,191,808,830,602,107,762,982,909,804,918,465,897,308,558,278,355,705,
400,543,013,572,364,522,076,078,327,258,822,445,396,532,456,748,482,625,638,
261,708,771,110,515,432,807,510,222,212,453,634,937,640,439,844,141,516,217,
858,608,351,172,162,678,056,819,801,779,731,021,054,906,903,201,554,076,956,
011,933,661,187,349,452,068,751,056,759,289,407,918,817,017,879,597,527,764,
597,596,660,652,378,109,360,601,283,771,418,738,708,032,096,020,745,594,696,
843,951,335,924,771,473,188,132,827,525,321,111,351,571,239,627,955,608,060,
014,144,036,337,195,363,075,386,139,075,445,165,306,868,718,967,422,335,939,
057,580,641,966,631,053,413,155,595,651,191,015,575,639,489,108,281,669,222,
150,178,394,752,373,694,441,403,543,291,495,722,573,352,823,143,507,336,519,
727,038,107,031,715,713,209,017,710,090,968,081,167,638,954,784,086,366,059,
592,265,083,037,015,624,177,297,269,167,825,445,591,839,686,385,632,617,655,
377,736,890,235,645,008,201,317,595,704,446,902,728,020,408,815,907,681,665,
464,410,820,016,201,614,795,032,661,333,636,814,108,602,939,913,646,708,425,
059,630,750,192,573,192,932,853,195,202,124,514,211,314,198,415,266,000,960,
354,074,705,827,841,195,515,501,345,167,042,377,567,211,464,805,720,930,619,
771,965,149,258,352,528,654,010,994,742,068,921,553,316,211,668,232,264,937,
037,947,314,255,941,940,600,616,248,877,272,327,027,580,131,379,580,129,075,
515,164,367,066,963,652,396,402,567,517,570,701,176,392,337,046,150,177,632,
384,343,595,306,040,827,881,297,915,679,791,238,350,807,942,204,602,313,410,
977,955,639,483,464,145,290,579,725,746,246,627,311,975,750,296,446,206,746,
554,704,007,154,746,013,382,302,563,063,861,523,789,851,582,960,313,584,211,
149,882,426,421,755,744,823,923,709,497,277,226,090,265,489,819,043,217,341,
449,027,853,961,558,578,107,496,036,222,543,253,592,256,761,772,011,502,006,
346,057,948,436,363,855,613,426,429,228,997,518,214,198,366,146,515,968,235,
851,927,025,117,502,059,133,349,974,473,501,625,281,513,891,468,833,454,227,
149,514,308,025,689,492,524,329,186,951,352,647,085,078,105,524,394,629,318,
234,833,200,398,695,642,188,185,204,936,765,026,653,955,526,419,733,056,208,
379,480,801,758,491,439,532,015,845,672,319,762,463,569,713,158,019,849,013,
509,165,840,338,562,498,666,110,407,843,976,290,774,050,743,024,232,217,260,
333,956,864,623,035,270,021,611,630,277,156,488,778,250,715,429,258,069,120,
309,362,218,321,627,730,974,400,493,514,752,748,989,508,867,746,985,193,087,
335,354,078,601,802,163,890,132,540,168,556,785,861,322,028,642,709,628,728,
222,837,621,256,037,648,058,661,077,643,629,637,053,209,524,818,133,068,161,
085,391,885,852,349,135,746,182,662,994,298,919,298,790,496,494,300,298,255,
961,544,789,965,028,489,956,819,841,156,731,806,031,655,335,224,255,095,739,
789,117,778,730,744,112,500,477,897,109,704,574,242,718,421,049,469,276,902,
201,064,684,055,852,674,356,532,766,496,379,820,030,181,995,857,359,017,925,
403,815,188,429,365,606,805,019,776,553,829,768,796,472,227,587,499,820,136,
405,075,108,437,289,502,521,096,627,450,690,417,896,584,351,476,858,329,279,
561,960,954,957,864,219,286,248,582,561,313,565,587,645,095,807,291,381,456,
907,624,448,125,232,197,513,467,099,784,591,489,144,978,387,545,247,950,134,
598,588,151,891,529,404,957,246,247,404,070,816,520,006,206,829,876,503,888,
979,167,719,466,617,438,559,695,314,020,593,385,284,367,248,494,505,431,073,
835,218,045,456,233,146,329,905,647,896,549,094,922,851,732,668,378,093,583,
520,868,461,367,900,458,742,275,656,997,916,428,594,751,933,839,330,977,361,
300,494,120,565,085,440,656,087,496,366,583,731,916,586,582,495,276,416,345,
683,025,719,727,608,054,205,849,282,506,536,107,526,240,872,656,765,533,829,
205,318,798,213,558,773,321,056,755,171,618,159,883,110,396,373,167,399,678,
604,142,563,291,772,669,557,063,773,384,759,435,925,471,434,162,801,756,331,
059,027,246,951,377,510,936,218,561,523,203,877,923,588,395,146,838,906,477,
629,508,673,553,920,468,931,397,009,766,833,419,020,194,364,638,077,438,964,
147,573,031,960,608,135,990,818,760,941,228,982,917,517,905,191,148,958,776,
653,899,964,943,252,120,298,975,276,671,744,095,432,604,007,684,786,536,534,
662,359,129,762,041,453,249,004,686,040,258,010,222,267,844,207,509,911,084,
553,409,384,079,144,340,543,727,891,441,860,972,365,752,422,341,232,254,460,
100,997,908,163,317,536,145,258,515,395,965,994,850,856,086,648,472,677,997,
568,471,836,635,918,576,753,235,699,865,607,840,076,782,384,893,970,726,568,
357,195,686,698,883,192,336,105,732,399,294,020,093,485,621,429,722,532,307,
488,588,933,758,549,988,523,065,611,537,758,239,862,346,951,235,425,177,140,
766,149,529,020,144,193,796,317,083,385,474,785,656,930,597,418,282,629,999,
616,256,383,118,383,404,330,245,490,342,404,972,734,816,073,172,161,714,132,
962,817,701,708,519,290,435,269,466,745,893,651,764,149,714,435,011,541,467,
740,451,562,474,064,429,539,911,204,995,228,277,704,448,067,678,202,559,321,
831,249,918,100,529,758,877,400,574,503,317,146,303,858,983,333,230,994,011,
832,191,553,891,571,445,117,210,223,698,336,673,291,616,998,256,368,054,238,
923,805,278,971,210,020,590,812,086,543,480,196,635,167,240,343,851,249,242,
198,743,527,454,938,804,266,488,268,286,783,913,880,619,039,716,120,592,106,
033,073,065,323,639,203,363,493,130,805,424,659,444,339,240,298,204,394,780,
379,543,462,486,076,131,456,212,701,842,170,198,049,130,603,396,932,200,026,
548,327,508,380,968,364,819,146,100,020,739,859,753,594,491,854,934,662,557,
025,166,193,155,778,406,200,772,788,478,198,728,945,402,336,164,227,156,970,
767,364,135,995,490,566,443,212,742,501,792,630,335,691,433,806,435,897,057,
560,978,742,537,503,357,218,045,557,503,740,320,760,499,890,956,775,924,326,
355,207,097,008,333,190,251,405,716,556,140,716,523,385,261,471,803,211,850,
880,936,690,520,936,107,153,666,404,660,319,859,242,738,323,453,350,427,881,
002,238,637,675,935,086,209,652,124,755,356,445,425,516,753,173,268,960,773,
956,502,745,201,010,508,182,418,632,606,661,503,190,696,632,747,411,672,816,
859,334,244,960,958,180,966,650,852,737,835,350,285,803,522,671,211,129,394,
385,217,244,281,833,287,930,956,305,242,483,428,442,076,892,598,828,670,291,
854,463,109,846,152,516,579,328,592,415,760,052,076,769,250,675,701,192,945,
671,060,066,188,778,011,591,716,008,904,813,161,031,322,247,858,097,072,305,
021,561,982,067,403,196,990,484,122,921,079,963,089,084,445,340,581,484,417,
705,300,263,906,028,436,518,097,032,921,065,028,011,739,788,830,714,157,840,
041,646,545,924,783,662,676,565,209,023,440,056,170,949,736,361,882,090,809,
276,279,120,461,372,360,188,559,425,229,300,440,660,817,724,856,248,160,104,
915,063,839,046,394,287,748,765,191,860,712,656,514,932,759,070,187,560,032,
940,997,517,144,309,873,686,899,957,156,602,013,176,690,338,536,215,837,108,
056,715,035,940,746,960,361,333,398,414,537,002,170,531,678,835,907,750,610,
252,890,836,539,791,971,770,711,488,087,173,309,483,884,812,384,907,266,736,
234,729,847,675,858,010,606,501,042,243,049,758,645,893,389,186,652,272,594,
577,432,454,186,894,396,830,859,865,330,862,881,647,400,259,342,607,925,042,
014,336,002,021,809,694,970,419,765,191,619,498,764,008,211,898,749,542,050,
629,760,098,981,943,327,495,773,484,540,542,287,937,110,628,646,375,465,039,
668,436,968,193,182,922,748,954,544,523,625,486,031,821,595,457,884,183,483,
288,731,458,278,159,632,031,871,525,941,325,554,941,337,547,375,044,694,414,
334,845,399,199,502,509,900,011,121,843,738,209,986,514,762,917,293,059,990,
241,477,100,606,232,182,485,968,441,098,796,426,225,438,939,656,481,036,785,
248,089,338,637,164,872,089,759,145,783,812,186,508,347,394,101,357,890,398,
719,600,302,869,786,830,749,910,895,331,303,039,992,095,905,791,751,618,787,
632,446,292,015,930,929,255,181,214,792,475,154,240,241,559,935,265,749,480,
849,952,857,472,232,206,374,795,514,848,956,208,099,370,246,125,665,843,528,
234,481,990,289,952,491,643,579,061,651,934,530,768,289,206,664,173,991,955,
502,214,419,540,479,073,278,116,820,013,960,824,866,538,899,704,242,314,520,
527,165,209,559,341,107,999,323,449,223,641,302,818,214,769,764,356,290,324,
268,561,773,442,594,755,007,687,682,889,952,748,772,921,868,605,023,263,851,
596,349,996,910,083,243,096,634,621,305,077,823,598,764,681,947,062,124,722,
367,546,022,702,624,740,834,758,376,584,453,492,732,939,579,960,582,660,861,
925,062,098,202,749,309,016,238,382,583,690,640,717,475,304,662,856,070,693,
918,856,861,912,484,362,611,688,649,496,603,984,411,655,336,657,394,020,261,
390,629,304,782,512,977,021,433,038,911,276,820,082,731,653,551,314,172,266,
128,075,895,822,713,508,279,233,654,636,768,713,867,890,313,445,821,056,926,
550,343,075,531,486,645,539,852,726,174,259,221,828,461,390,486,512,599,277,
668,027,861,432,191,249,500,135,484,006,537,339,175,150,127,015,077,631,529,
367,769,979,764,162,521,176,490,674,001,783,383,726,957,526,624,547,690,126,
794,278,664,285,791,006,064,477,110,964,721,347,518,357,046,165,957,130,709,
783,930,037,029,347,391,635,582,936,297,588,149,740,720,429,773,586,891,892,
324,388,044,539,729,853,923,694,790,056,804,720,688,023,916,020,473,930,846,
175,830,052,709,216,649,374,044,835,509,438,900,206,056,411,622,397,261,520,
443,320,546,167,566,041,724,909,094,586,924,575,950,400,686,716,168,249,212,
250,569,256,874,185,656,755,675,073,119,879,621,165,960,478,741,946,798,258,
867,344,954,556,127,022,161,806,771,350,194,727,150,583,620,049,202,705,484,
374,618,377,830,476,369,926,073,242,783,980,816,160,141,143,792,062,639,672,
710,318,231,380,338,398,037,236,873,326,068,470,239,081,040,666,895,084,399,
948,023,163,760,397,348,116,954,731,403,934,981,354,434,140,200,169,861,136,
398,534,820,764,602,437,599,069,686,825,878,012,321,576,051,185,838,032,859,
879,011,771,045,797,283,714,085,092,940,811,998,681,439,802,557,045,036,337,
933,337,493,642,998,987,061,317,580,770,156,830,363,560,853,136,686,331,963,
766,717,955,754,475,125,856,317,523,965,837,332,050,144,522,405,550,629,552,
596,300,042,254,998,837,645,285,558,919,868,638,291,100,452,777,733,964,930,
314,251,761,166,995,706,154,458,872,486,140,558,662,927,570,854,146,725,919,
509,757,854,510,985,453,966,939,603,279,153,955,808,527,824,540,213,885,546,
662,861,388,600,418,608,629,714,811,488,651,348,817,699,160,492,385,136,899,
236,695,074,214,913,289,505,276,076,672,130,841,379,634,604,763,847,195,332,
917,964,902,913,769,309,339,130,079,040,582,822,885,750,459,083,300,143,141,
227,163,606,890,897,251,555,559,137,147,146,732,525,330,040,135,739,660,065,
667,996,195,363,874,355,644,253,839,879,075,623,884,740,339,142,681,916,428,
905,192,304,504,973,216,741,193,461,982,549,489,130,392,849,737,855,051,917,
426,678,007,758,633,693,415,598,088,837,860,379,243,553,848,776,516,275,030,
845,001,440,119,256,673,438,754,214,058,192,794,499,326,657,660,821,551,741,
671,187,609,999,805,964,219,344,578,485,546,364,204,493,579,889,800,908,935,
786,844,646,174,864,608,434,166,822,832,264,319,567,123,750,597,588,959,802,
038,238,042,799,966,459,853,473,225,851,116,562,695,484,672,763,649,282,193,
271,838,491,924,029,085,326,720,503,055,474,369,279,567,542,508,421,125,764,
107,321,833,563,023,190,760,683,189,896,117,282,925,504,355,146,838,717,176,
927,050,501,984,270,854,879,201,841,660,147,466,469,220,655,013,552,608,799,
463,028,987,655,227,545,822,958,481,224,530,577,402,829,452,976,770,553,198,
505,584,536,779,469,417,076,734,802,508,403,630,270,098,558,712,959,213,018,
737,990,457,936,266,859,942,618,783,701,185,851,385,536,290,742,052,795,213,
044,237,723,533,603,078,619,425,270,432,586,843,541,596,116,892,271,550,303,
729,838,387,248,987,574,900,657,688,181,954,234,725,350,256,441,540,921,431,
428,983,072,260,963,146,012,363,122,863,070,997,527,994,027,050,099,605,700,
251,451,658,904,080,337,098,048,191,702,362,989,426,599,684,413,161,902,220,
690,772,735,446,906,037,110,426,272,719,550,284,947,011,487,086,303,097,779,
718,220,033,873,489,318,156,758,532,994,226,923,782,995,119,328,425,593,601,
444,673,702,188,341,150,161,444,427,668,831,798,139,074,270,661,824,724,201,
343,367,842,918,807,499,808,818,213,500,698,107,095,946,838,135,045,137,735,
435,367,809,301,886,080,796,140,589,685,246,407,468,183,364,812,623,914,542,
415,551,308,042,330,236,041,332,828,263,901,195,887,339,554,574,569,867,623,
396,058,089,080,570,937,830,327,976,124,386,340,046,496,780,951,527,603,558,
479,542,246,753,904,563,744,630,580,300,473,209,940,342,978,915,856,160,841,
498,781,739,501,497,364,100,570,464,112,454,072,688,340,337,666,115,323,496,
990,292,053,166,205,233,652,815,896,136,271,799,390,768,574,081,022,399,051,
341,467,819,200,721,386,977,866,137,642,536,955,214,526,769,080,524,794,583,
971,841,433,785,000,906,776,977,456,055,699,553,289,766,811,688,407,799,917,
990,669,175,220,603,601,510,478,914,293,427,717,105,034,034,035,944,743,780,
293,140,116,380,642,417,214,032,452,384,659,057,082,430,022,960,938,757,798,
832,232,184,469,307,579,283,097,419,171,861,129,110,716,795,700,595,960,896,
120,055,882,034,359,299,185,403,613,914,225,087,091,563,398,168,025,303,651,
074,781,460,644,581,925,522,292,504,244,659,210,740,954,290,207,836,184,686,
602,019,859,561,021,262,141,745,377,663,460,536,596,864,256,714,987,590,184,
962,106,773,212,606,713,919,986,625,847,620,868,779,613,863,622,268,803,235,
904,493,991,381,363,895,004,353,835,744,041,030,286,512,129,781,441,971,454,
042,035,072,774,439,668,138,663,763,630,717,030,752,263,192,698,774,187,292,
402,144,673,531,377,430,928,361,832,564,966,565,346,921,255,423,677,829,222,
790,230,130,482,602,922,821,777,771,851,969,836,944,198,693,069,469,426,811,
003,353,619,798,435,758,133,634,387,287,116,137,764,548,758,053,541,385,997,
959,030,944,778,250,045,016,719,709,955,183,389,998,649,289,939,179,398,051,
406,984,580,596,783,491,605,370,184,960,377,510,698,883,377,432,919,282,542,
250,382,670,119,995,393,577,529,366,358,712,791,673,155,749,001,047,374,283,
834,729,427,498,403,487,588,968,468,903,346,861,542,365,318,108,444,474,431,
566,879,594,166,456,062,313,946,386,586,289,046,838,638,393,517,294,115,755,
446,635,973,312,110,954,215,356,933,132,536,862,598,197,213,886,088,074,025,
017,764,907,701,389,562,374,512,942,936,428,085,304,423,692,765,160,502,797,
150,455,938,460,367,057,649,436,113,557,403,766,421,731,014,260,648,268,915,
928,019,593,080,068,258,934,421,477,834,758,339,359,281,476,693,828,566,363,
072,052,661,833,744,882,419,241,944,926,033,322,382,495,202,924,856,076,792,
666,023,244,146,789,788,930,128,617,096,887,457,463,821,837,227,914,706,999,
468,289,966,903,942,834,988,024,186,015,919,192,508,778,087,232,115,315,971,
391,807,863,896,852,900,932,453,826,433,420,682,100,034,885,187,342,236,679,
162,885,808,968,288,794,627,248,132,483,701,552,304,546,323,870,796,093,512,
475,148,767,570,650,886,963,979,502,217,012,501,637,839,806,661,704,256,331,
341,011,363,004,834,063,144,767,287,918,865,653,441,132,469,491,417,806,585,
263,163,187,367,621,032,579,720,631,101,339,968,944,548,754,921,629,043,087,
239,243,454,739,305,565,388,742,415,994,008,637,963,458,318,190,572,047,656,
352,723,233,548,907,255,565,178,150,949,223,856,788,751,725,449,858,705,928,
839,265,260,558,883,755,337,571,572,126,667,719,035,465,678,118,582,605,865,
686,374,199,416,994,400,274,262,188,161,899,639,648,474,791,457,815,324,870,
789,506,864,714,051,216,319,800,131,361,463,674,927,607,500,672,195,354,719,
805,201,444,870,810,783,162,451,033,456,672,333,285,706,938,280,134,030,447,
515,617,053,613,041,077,281,507,044,410,200,922,088,571,287,669,458,903,132,
977,822,949,731,988,761,962,996,586,633,079,084,262,556,963,733,631,947,309,
884,363,465,984,011,350,658,826,501,743,708,237,030,882,330,964,159,093,262,
613,439,910,884,877,818,615,382,924,976,632,600,231,690,420,389,681,530,178,
216,985,516,627,813,870,675,597,161,523,585,398,067,228,421,048,893,242,174,
115,652,675,706,905,337,564,766,745,524,387,766,385,989,644,128,640,296,763,
693,254,476,366,708,345,776,347,155,701,007,214,306,491,866,232,928,559,046,
477,174,835,836,336,911,645,961,751,325,540,944,720,228,554,639,697,056,209,
367,954,900,165,645,411,064,870,391,659,150,069,016,749,601,414,607,639,240,
526,313,193,745,784,347,252,719,896,908,295,027,030,009,493,291,335,179,630,
856,119,625,585,040,934,140,898,873,893,997,938,689,282,099,941,581,071,146,
399,120,953,912,944,163,286,666,327,441,760,829,426,868,932,063,988,745,493,
456,753,176,183,622,168,366,638,560,072,701,515,009,391,756,286,657,002,455,
124,166,786,335,216,408,666,653,464,672,848,779,592,627,925,645,435,724,593,
889,808,832,839,231,054,354,036,666,849,602,434,542,534,969,954,888,847,757,
328,034,983,609,422,009,708,782,240,461,607,345,445,664,047,512,686,402,571,
979,457,799,947,960,745,716,476,882,761,728,270,959,360,164,828,289,093,980,
437,026,117,325,765,895,463,881,210,587,213,161,844,256,429,176,116,626,880,
532,758,353,421,575,042,338,980,252,301,831,977,594,080,194,343,701,499,637,
678,769,223,631,286,633,104,922,187,583,708,166,259,779,049,978,325,481,245,
240,756,869,207,477,106,039,036,388,293,655,384,819,721,830,604,939,946,246,
396,816,996,486,911,143,462,493,724,201,587,111,941,660,503,707,957,890,826,
132,340,593,100,841,135,818,098,815,186,606,613,579,591,498,243,328,868,514,
808,688,088,259,477,708,242,944,601,494,466,172,799,539,956,386,254,396,380,
337,330,802,682,955,259,359,239,162,257,961,132,304,861,912,504,423,924,511,
491,823,056,473,656,603,091,072,215,076,441,274,820,357,255,419,536,651,878,
744,954,505,832,399,193,403,322,491,378,706,658,719,520,109,191,743,987,085,
996,698,010,940,081,100,837,974,266,959,397,209,906,420,696,507,828,858,650,
617,217,543,957,421,573,367,079,135,113,813,791,625,448,048,468,290,453,910,
232,324,141,412,830,577,057,863,241,777,817,993,013,925,407,021,036,994,994,
052,869,809,387,632,528,627,918,644,806,665,821,930,430,398,342,952,004,061,
998,923,378,711,869,048,323,311,072,423,186,880,039,756,988,894,681,654,899,
325,974,529,117,362,361,797,935,496,250,253,567,108,183,760,565,795,663,796,
766,983,069,027,614,199,155,948,860,313,942,717,838,115,141,864,092,934,838,
558,643,455,204,281,170,406,291,080,909,497,138,923,045,470,281,556,393,448,
794,929,100,514,015,929,483,053,032,271,045,599,098,438,050,572,390,270,143,
866,240,592,980,580,080,375,020,048,845,305,371,323,140,311,799,410,009,494,
069,345,256,185,703,241,042,614,836,953,245,900,047,405,406,540,745,872,821,
202,938,260,168,976,761,865,468,051,763,413,482,588,712,836,301,189,571,280,
290,402,293,354,922,057,259,408,552,371,324,585,344,924,891,290,748,138,857,
138,975,933,551,229,107,575,868,900,926,787,198,597,831,532,515,378,121,215,
182,305,788,274,326,894,271,555,110,913,192,687,474,302,195,780,030,218,963,
550,043,385,366,439,438,137,562,873,531,733,668,723,918,358,240,007,943,385,
023,700,444,235,382,208,331,690,276,188,779,393,418,222,507,445,560,174,171,
505,215,145,687,062,612,645,540,348,845,627,577,471,686,156,186,509,257,757,
238,493,864,186,006,294,438,788,840,767,645,542,956,158,696,746,424,054,120,
248,857,886,053,687,632,507,668,802,494,081,668,679,942,930,973,765,218,317,
480,858,545,817,974,364,031,538,158,672,471,531,777,385,628,779,753,226,486,
119,829,529,166,818,642,362,314,893,035,684,794,759,664,133,327,789,169,584,
933,452,641,697,787,091,224,083,349,991,537,075,248,711,203,881,144,708,776,
891,533,907,462,088,737,402,855,028,736,345,009,715,532,568,145,086,138,809,
534,178,622,555,336,472,603,975,567,478,198,055,969,295,992,505,672,443,519,
467,121,794,631,517,469,965,741,030,155,754,560,800,624,412,986,200,147,491,
912,596,526,949,114,817,642,175,898,160,018,833,983,162,113,981,292,597,561,
366,640,130,796,653,426,274,279,978,008,486,057,500,176,077,207,940,414,507,
171,295,804,815,598,685,852,929,589,420,763,483,182,634,685,081,209,001,094,
557,367,082,990,292,343,129,646,063,604,372,509,042,168,073,770,028,088,990,
282,524,481,345,464,252,860,015,827,433,074,137,566,483,856,030,211,409,466,
095,590,521,477,429,412,898,754,296,415,846,659,213,281,899,895,538,081,758,
246,316,221,221,153,652,390,578,857,505,437,291,331,572,056,652,601,129,887,
336,689,263,926,476,301,460,451,493,390,381,986,853,731,412,122,053,323,521,
968,557,971,718,458,799,075,512,572,574,477,754,304,877,069,894,778,128,747,
730,661,225,420,849,320,606,688,578,529,255,995,131,715,300,248,378,522,682,
883,424,657,072,814,100,672,424,610,613,524,055,636,317,185,382,707,632,104,
364,344,866,585,850,288,607,076,340,904,202,823,019,412,141,545,687,542,906,
951,350,789,519,256,526,366,353,801,031,717,558,476,380,865,830,797,426,993,
668,821,715,773,886,305,898,400,861,464,751,923,997,282,817,797,660,630,697,
069,753,283,703,743,740,176,135,045,613,030,725,537,756,940,971,562,621,797,
710,182,749,269,014,589,202,916,472,540,887,638,072,780,915,361,696,155,794,
712,475,736,090,286,470,278,817,212,153,492,721,551,031,277,673,746,506,016,
104,632,729,942,115,183,031,123,881,269,386,491,635,686,728,782,549,802,589,
263,937,544,959,508,532,881,408,868,650,517,477,630,266,636,730,493,701,513,
633,740,508,398,722,842,058,788,264,139,214,073,035,692,789,059,162,131,197,
159,405,913,580,954,019,149,510,531,624,711,180,177,169,605,252,286,937,025,
376,832,136,743,745,012,174,527,797,088,323,994,330,706,113,991,580,274,146,
518,557,525,766,067,612,564,099,642,258,723,533,369,355,472,786,382,339,675,
825,026,462,200,908,418,743,854,668,997,339,870,800,388,168,086,595,683,863,
053,904,174,982,552,455,498,387,949,974,113,000,481,596,291,747,676,150,373,
133,206,760,757,945,768,492,085,330,001,873,361,256,830,676,368,290,931,948,
040,858,261,715,538,700,869,853,976,256,753,590,032,797,967,752,265,949,068,
154,096,057,834,617,671,859,733,997,942,949,476,025,868,676,040,402,100,161,
316,101,547,154,664,994,155,450,431,199,968,234,835,957,872,391,453,596,708,
379,688,084,231,662,715,099,415,423,023,744,549,453,108,825,843,602,442,774,
509,086,384,545,103,999,601,952,927,428,776,769,793,485,102,008,171,034,355,
491,200,140,169,049,933,709,718,362,577,354,958,213,925,461,372,386,918,330,
425,690,355,581,766,280,238,829,083,496,941,542,947,562,322,833,530,202,534,
840,811,825,789,360,383,977,438,439,375,102,651,359,167,080,347,771,466,378,
678,167,801,514,138,284,944,460,806,976,059,406,414,016,170,563,199,640,942,
257,031,270,217,430,463,495,620,207,432,119,827,116,054,027,299,325,040,262,
883,564,802,024,099,450,853,723,523,270,955,587,744,352,401,939,253,942,032,
592,548,519,343,588,826,112,747,528,534,248,399,534,043,736,743,372,984,342,
644,664,181,421,109,329,819,468,767,565,922,360,710,841,995,243,066,214,348,
232,919,526,221,614,559,368,642,247,904,166,267,731,179,059,521,637,499,776,
835,723,139,051,282,625,515,688,642,853,918,233,511,973,556,815,425,187,920,
113,702,920,833,144,666,724,887,760,868,849,154,990,254,998,732,458,570,000,
810,320,184,082,537,359,227,899,306,420,942,048,802,633,898,638,012,375,087,
805,159,803,334,706,187,995,201,526,534,585,194,485,586,572,382,351,609,080,
120,413,447,218,424,827,910,333,674,551,676,229,367,477,983,505,185,758,396,
694,205,999,841,953,315,453,588,747,313,486,725,995,453,321,903,172,428,838,
199,221,299,480,078,301,516,427,061,294,626,975,603,299,281,017,321,183,784,
464,631,244,267,064,610,275,454,547,810,897,151,726,527,884,589,561,893,780,
168,622,870,030,326,804,425,440,804,147,002,331,504,132,330,574,904,264,530,
586,374,462,487,166,858,232,983,761,841,269,340,992,350,676,072,126,105,734,
748,213,980,828,600,056,633,300,470,435,847,282,216,696,154,680,331,618,000,
103,491,564,531,782,293,145,528,344,341,541,715,486,062,679,879,277,616,234,
703,524,817,038,133,580,259,773,415,959,912,996,293,322,486,379,279,173,323,
849,470,665,959,349,199,644,460,365,898,999,982,995,917,971,199,484,844,929,
136,571,818,737,516,778,446,902,498,141,121,409,970,665,190,280,403,290,042,
720,861,748,156,586,251,588,231,947,788,155,957,138,665,090,066,104,010,843,
005,874,684,421,732,789,671,644,917,038,478,946,249,448,305,648,231,628,206,
391,393,388,528,297,565,340,547,297,650,016,732,184,599,616,407,364,854,183,
854,276,147,533,318,336,911,121,915,214,657,594,459,652,218,964,608,091,664,
182,568,602,576,664,201,223,986,550,944,603,256,245,233,297,376,171,138,504,
167,802,130,362,873,640,429,463,434,122,266,967,277,227,395,530,933,687,718,
636,950,237,972,837,657,059,107,105,621,887,828,365,298,819,649,083,331,077,
449,758,864,610,531,657,185,582,733,442,373,004,140,921,062,621,160,437,161,
179,770,729,125,389,317,668,433,354,211,039,415,906,224,301,038,355,626,732,
374,432,187,996,818,532,903,790,929,687,264,779,934,956,174,205,131,543,509,
416,670,235,308,033,001,605,930,527,491,817,085,515,233,040,771,027,675,084,
791,763,289,523,941,097,893,802,753,357,593,820,966,727,228,503,721,727,188,
343,641,560,625,724,367,093,577,902,089,147,054,254,524,354,316,745,906,569,
144,179,225,316,614,237,500,273,739,864,533,329,088,606,279,405,668,689,468,
761,235,662,309,060,279,574,778,956,863,608,385,279,666,482,217,006,647,081,
009,256,079,184,530,478,143,260,635,292,507,584,649,778,039,311,192,917,719,
765,349,319,468,344,608,758,575,370,645,915,148,793,165,189,763,385,949,611,
582,134,461,591,944,963,850,243,200,876,427,859,682,729,569,717,836,220,249,
898,275,672,468,517,387,420,357,031,314,195,187,177,714,415,265,136,215,671,
864,882,404,604,733,719,211,342,585,385,638,458,476,239,571,839,982,481,581,
020,727,576,617,572,569,193,240,235,767,881,823,200,399,778,063,898,768,622,
940,196,678,400,958,477,052,184,500,771,757,137,098,728,279,141,390,485,097,
786,720,089,047,540,311,192,728,623,107,709,330,891,974,459,768,430,663,743,
220,152,952,614,699,614,123,279,465,320,085,062,859,633,940,859,054,743,966,
851,880,034,993,912,780,103,474,869,312,684,641,395,290,371,788,919,759,454,
219,907,745,281,244,341,267,670,319,573,003,296,545,644,214,983,119,199,799,
952,200,769,071,051,413,109,667,311,121,545,619,819,931,804,050,557,604,826,
813,181,380,247,706,973,036,049,092,713,156,549,437,195,389,560,892,379,048,
656,454,974,052,836,043,266,126,648,379,813,059,521,519,133,143,607,832,023,
258,093,490,020,209,178,788,220,728,683,576,370,086,301,851,402,397,020,760,
261,243,703,326,885,914,799,871,823,826,809,485,414,891,821,821,595,839,730,
943,432,473,624,302,554,440,313,339,008,138,607,163,512,941,114,241,085,573,
523,342,127,080,391,672,707,432,013,760,343,117,102,955,103,837,780,628,264,
056,981,693,570,596,525,758,744,915,594,857,107,218,504,032,186,593,833,254,
695,973,858,524,824,689,299,701,047,238,922,772,787,655,283,764,417,801,264,
063,959,000,225,724,556,662,305,626,783,312,033,184,594,835,621,379,889,778,
828,590,085,389,550,861,044,513,560,353,480,399,481,502,035,346,817,680,159,
925,372,892,546,657,010,767,537,070,434,066,010,307,757,932,577,553,551,444,
226,235,134,335,770,817,695,846,106,771,617,935,228,635,467,330,638,026,486,
951,685,317,188,836,980,432,290,748,273,575,704,088,487,383,299,964,366,908,
074,134,070,656,650,112,802,087,087,121,146,662,446,127,495,594,209,751,400,
702,247,927,599,230,026,565,093,498,906,498,357,382,996,718,271,835,679,162,
160,468,361,538,329,899,033,785,595,955,222,031,071,359,763,864,778,954,223,
293,646,207,059,706,373,392,632,298,761,486,361,292,566,157,265,040,299,704,
383,068,158,924,092,842,499,908,209,710,920,269,446,543,666,799,733,373,559,
283,385,441,278,654,636,011,020,408,647,545,628,603,595,916,400,687,773,066,
494,545,927,704,285,741,943,751,869,971,470,004,315,437,697,436,670,773,030,
924,377,604,863,382,881,715,777,149,194,956,253,962,945,410,481,958,892,609,
858,238,832,763,965,298,507,381,641,995,943,191,436,571,960,411,542,994,533,
703,935,748,763,778,897,433,244,705,804,966,537,434,136,948,562,240,309,522,
348,691,611,969,640,377,387,246,572,940,604,308,619,738,630,041,162,924,383,
621,787,769,108,361,065,946,860,367,944,274,822,218,495,105,717,846,719,256,
554,276,930,480,321,355,327,801,204,823,390,938,923,945,661,166,127,094,987,
646,202,778,737,939,119,330,849,617,163,283,777,342,865,109,775,554,378,813,
437,485,879,146,301,846,672,601,704,685,876,595,460,701,233,160,556,658,683,
684,158,232,082,674,854,916,233,576,959,261,267,684,169,559,907,280,939,433,
202,248,389,577,452,178,414,268,618,310,953,619,711,841,286,668,135,477,859,
055,147,302,784,738,613,772,808,958,273,777,082,061,357,049,992,743,612,071,
433,625,633,057,805,697,458,728,327,720,138,831,436,773,678,330,611,191,178,
270,308,394,874,176,399,775,039,624,678,304,232,962,736,339,727,776,011,240,
914,332,286,179,054,955,421,656,913,328,832,666,792,842,612,830,791,769,356,
052,144,265,014,483,872,762,675,929,859,902,622,808,244,613,231,164,486,654,
456,306,123,664,061,105,414,552,528,912,085,068,037,728,765,961,385,974,579,
325,684,304,485,119,557,128,285,419,491,864,139,232,310,136,889,560,795,109,
088,011,957,948,236,472,413,321,605,844,228,519,306,719,725,863,201,937,314,
686,182,626,693,898,510,986,808,484,029,319,852,450,482,993,140,523,997,584,
641,344,036,395,013,087,399,892,766,304,027,778,640,541,199,189,362,414,602,
007,876,969,551,929,484,033,367,328,195,687,562,188,775,439,088,718,883,633,
499,658,357,149,929,308,701,378,759,086,447,534,750,458,577,433,619,896,417,
820,714,467,687,255,557,493,449,531,388,903,852,270,655,532,389,252,133,744,
150,005,355,559,580,493,499,547,564,650,609,783,695,219,136,123,766,481,029,
599,442,239,972,065,312,880,701,613,306,978,689,870,605,784,386,450,189,543,
303,695,891,349,750,580,797,626,416,027,397,851,838,722,596,193,345,357,126,
549,315,649,254,801,565,213,973,093,667,995,953,900,390,620,174,457,268,960,
451,075,429,339,889,966,472,947,281,832,874,955,286,019,973,187,997,758,844,
603,882,886,715,520,021,854,560,880,624,460,522,119,027,238,451,719,852,768,
723,835,029,083,866,056,994,327,492,965,087,728,630,590,146,121,580,842,449,
229,595,678,055,636,911,995,368,799,252,599,541,651,437,590,973,638,688,036,
578,421,517,763,201,362,355,105,089,832,234,864,869,393,866,733,863,971,121,
747,331,763,370,263,593,324,377,563,355,924,186,177,998,849,769,602,706,470,
678,150,077,590,330,997,238,966,851,361,627,171,170,443,231,054,188,175,477,
155,910,090,659,639,477,033,174,538,534,039,043,543,166,780,076,248,240,107,
448,861,277,676,338,396,835,553,905,915,415,842,454,209,154,266,595,893,859,
405,688,435,204,082,609,269,678,417,948,692,132,224,949,994,872,703,986,950,
541,068,346,170,343,199,929,057,473,452,246,446,977,189,527,175,360,232,263,
746,549,193,159,804,901,348,629,595,812,850,639,582,896,079,796,917,440,144,
514,433,103,558,367,793,894,788,080,675,968,336,229,079,274,709,010,195,680,
549,303,206,338,610,824,593,721,990,860,825,292,009,588,849,144,800,360,069,
739,972,382,392,389,223,053,107,108,446,701,852,666,460,105,722,071,353,777,
529,986,237,005,341,859,848,382,196,037,900,554,545,337,742,526,758,844,092,
208,136,219,997,082,039,361,370,438,506,340,098,397,063,254,670,307,550,344,
728,966,209,644,953,684,693,396,137,002,452,336,625,785,433,831,828,527,395,
593,941,084,174,123,328,170,203,215,768,268,348,059,847,610,684,424,980,082,
338,706,721,135,275,832,109,314,955,638,784,790,155,099,140,350,603,988,803,
233,671,013,555,150,369,322,749,039,986,133,473,303,332,351,893,453,688,044,
796,432,676,491,706,359,802,949,096,741,320,156,208,966,956,687,122,483,190,
783,892,392,069,849,267,533,261,927,953,043,399,761,638,450,254,179,441,194,
175,823,267,544,861,744,966,614,651,858,932,661,860,232,712,782,744,805,865,
946,198,546,007,798,764,316,321,457,324,080,318,881,471,399,782,716,631,443,
518,567,511,431,904,885,504,752,377,871,106,561,902,075,628,706,880,583,518,
848,251,260,706,950,950,824,664,959,163,529,717,309,717,649,068,125,462,661,
098,805,633,708,564,520,876,347,318,892,068,034,246,172,963,506,649,346,242,
075,790,065,721,980,084,092,143,119,341,393,413,855,492,992,286,767,679,791,
676,548,129,796,046,215,679,171,631,844,058,914,803,841,500,239,415,860,205,
485,114,361,491,909,892,849,332,731,099,936,318,516,627,815,625,683,016,432,
996,159,818,115,122,931,043,741,906,598,759,383,421,444,232,824,362,967,904,
006,535,898,572,210,263,615,810,550,416,790,209,742,495,848,868,600,758,475,
827,075,092,292,049,657,066,218,137,335,325,139,009,674,531,031,509,590,022,
357,769,733,197,892,036,734,801,442,986,786,860,568,563,270,592,399,026,436,
757,583,074,807,361,880,498,378,608,801,424,212,349,276,009,898,175,900,543,
196,086,693,592,662,856,989,636,081,175,560,785,280,250,607,651,588,114,430,
709,941,524,234,093,724,128,512,445,296,982,274,930,984,105,017,816,790,964,
813,980,157,604,522,561,138,345,042,873,670,955,940,843,096,500,956,737,254,
305,814,056,818,812,741,732,638,956,357,873,758,612,881,773,632,782,725,612,
097,332,923,037,708,418,081,229,102,321,379,619,092,178,172,902,088,538,950,
108,688,586,299,667,279,632,713,304,700,777,617,965,492,209,999,783,488,255,
173,602,828,446,442,080,775,397,707,418,709,949,558,618,162,309,062,340,098,
007,849,136,863,680,389,536,408,578,997,148,161,376,246,395,333,796,952,840,
626,618,265,617,755,021,689,435,427,473,381,629,366,533,477,000,404,692,456,
088,464,533,113,543,333,161,039,115,616,386,324,489,556,266,418,545,501,241,
865,458,558,583,898,352,395,711,122,113,454,210,652,290,028,873,267,996,608,
871,942,409,250,863,756,966,184,894,227,581,240,698,386,587,999,728,801,446,
285,242,749,963,009,676,431,185,033,521,879,135,072,862,902,850,150,141,867,
505,324,098,828,954,532,605,578,813,467,291,077,274,762,238,373,818,467,699,
454,111,212,703,338,059,291,780,172,032,635,507,545,094,458,007,826,125,738,
923,442,603,033,259,173,014,550,929,095,169,582,209,395,388,408,747,958,278,
979,105,774,773,476,062,802,253,810,317,032,442,144,276,672,094,512,672,402,
300,623,587,173,996,895,771,906,210,118,485,843,134,300,071,814,823,497,022,
638,100,128,965,838,324,426,502,978,179,003,863,594,192,903,656,073,184,440,
205,615,284,941,854,390,983,113,876,723,816,708,368,717,541,035,895,065,470,
211,964,850,193,189,662,292,047,178,636,349,131,190,892,641,094,839,255,583,
772,140,684,794,841,353,875,580,441,087,679,012,303,187,209,391,821,707,233,
149,771,131,447,706,702,682,713,024,272,935,255,711,282,572,804,213,062,829,
346,482,528,275,593,574,159,065,630,354,917,896,826,857,791,477,721,573,438,
886,969,677,363,588,572,788,656,912,840,402,397,383,494,070,276,400,109,798,
629,651,252,877,094,101,148,522,339,261,606,115,059,930,679,386,803,155,557,
446,527,288,863,252,422,148,218,906,285,290,461,549,156,786,814,665,779,205,
464,943,013,333,015,471,452,317,642,874,099,683,386,791,371,740,395,051,554,
111,314,296,736,164,434,409,273,537,825,330,181,569,062,992,770,263,829,763,
479,341,118,252,086,566,974,703,390,383,507,371,427,938,104,849,048,586,177,
116,182,616,376,319,516,726,674,358,663,504,246,586,647,327,606,223,286,720,
567,108,463,207,028,860,754,877,383,980,624,318,040,515,157,984,800,299,759,
054,479,501,997,112,877,785,742,351,671,225,759,873,019,215,620,206,095,635,
601,527,871,321,477,856,507,338,409,538,545,826,532,408,955,104,891,281,822,
920,948,226,448,190,964,478,105,435,720,512,003,179,051,492,364,002,426,594,
642,710,898,868,594,031,220,345,679,343,519,912,856,834,015,959,935,628,410,
075,543,964,261,763,235,374,339,889,691,052,666,379,414,672,005,948,115,611,
561,879,208,771,590,556,076,841,419,999,376,660,020,439,427,673,102,970,139,
361,360,867,512,715,851,364,656,951,232,519,822,039,218,309,560,748,676,749,
899,763,315,675,364,388,990,139,160,303,231,121,968,732,298,241,427,159,805,
650,287,992,026,521,873,948,762,669,504,886,408,681,670,647,002,946,214,970,
842,008,007,339,733,311,563,365,629,222,118,849,548,992,803,205,866,315,440,
945,736,436,592,281,564,475,077,122,871,909,277,687,144,678,850,839,987,614,
371,730,526,098,375,598,360,456,541,252,845,654,781,773,889,326,585,659,324,
886,995,334,470,130,217,677,305,806,571,172,126,104,240,714,732,659,511,984,
459,692,089,261,393,942,520,692,692,540,481,222,031,591,716,486,403,610,405,
911,065,349,542,084,197,734,370,020,934,457,237,104,308,579,567,699,563,723,
962,519,135,891,526,977,107,860,684,495,993,693,136,471,407,805,067,627,392,
109,083,262,605,240,289,520,981,693,443,182,462,653,276,678,596,678,786,567,
790,082,466,159,009,207,445,201,806,719,386,304,991,919,510,644,533,840,541,
206,994,765,152,505,900,651,359,280,604,042,229,743,999,168,703,561,910,843,
845,552,069,939,039,622,567,243,482,395,979,516,232,719,224,984,242,819,998,
090,120,531,227,070,084,230,009,781,939,652,122,133,593,971,618,253,647,235,
134,786,656,095,341,088,878,662,077,616,445,834,136,579,027,355,951,248,467,
011,712,478,908,608,983,780,950,303,074,885,348,451,563,775,521,797,765,880,
831,496,633,833,178,102,576,108,489,498,201,682,002,363,703,448,783,275,009,
256,152,808,068,631,460,174,562,629,746,051,031,758,033,054,049,192,663,428,
519,067,429,328,786,208,725,422,997,636,609,636,544,597,047,645,057,389,669,
655,385,558,079,044,410,709,281,685,994,306,428,951,027,932,979,116,021,750,
564,569,400,228,145,933,457,448,831,710,882,613,462,342,106,285,551,856,015,
449,449,231,545,067,958,429,508,124,010,882,236,513,231,089,273,080,777,540,
710,090,969,244,970,561,882,971,411,405,396,234,346,064,956,409,889,370,846,
099,421,913,820,474,551,242,308,867,495,908,117,419,955,686,704,932,605,248,
042,922,913,120,404,740,717,168,539,052,098,300,244,086,983,937,446,317,911,
405,974,545,777,588,341,082,481,292,003,093,327,848,697,078,528,761,096,879,
980,314,369,234,672,500,129,043,819,966,399,818,291,771,166,227,287,620,873,
352,743,140,441,102,107,862,399,826,770,771,259,189,074,937,184,083,354,652,
969,460,811,582,568,276,779,664,788,845,257,676,481,454,567,415,479,306,641,
712,058,752,873,051,450,201,700,174,820,259,131,701,461,567,464,801,919,604,
045,127,958,080,840,514,238,318,879,488,753,883,547,167,173,686,073,466,849,
211,999,894,950,878,814,622,331,976,103,453,164,451,136,083,195,911,805,322,
417,591,934,593,893,038,102,069,223,283,365,109,145,640,223,115,391,991,197,
224,865,626,355,835,337,800,616,389,972,253,598,084,928,008,954,145,411,804,
854,450,208,341,518,264,315,812,151,731,691,047,653,461,043,926,080,777,604,
351,284,709,139,966,598,276,999,388,648,064,618,840,980,214,181,838,568,319,
401,369,330,942,441,938,558,688,219,202,290,632,467,431,496,958,460,113,905,
189,673,895,844,168,613,851,166,839,138,343,906,075,473,784,459,422,233,812,
737,549,531,649,145,454,861,303,037,390,960,242,184,626,960,400,258,319,567,
956,190,100,811,522,520,858,805,810,195,192,882,144,922,396,398,975,744,430,
063,588,080,937,431,805,671,117,639,876,068,549,087,155,659,365,606,447,247,
183,623,115,779,005,038,494,121,963,714,551,988,183,024,337,663,527,214,161,
879,722,211,906,968,673,365,220,668,412,911,052,466,680,953,242,374,096,004,
751,097,929,296,716,776,276,391,120,666,063,231,441,408,347,871,359,865,878,
025,687,992,710,045,632,337,917,803,058,112,440,275,611,131,457,160,383,374,
486,437,867,677,436,495,293,705,949,667,768,843,569,070,991,935,240,098,464,
729,739,987,120,644,555,409,227,167,820,211,383,021,528,736,183,904,968,689,
436,116,171,716,350,225,328,329,879,008,630,831,691,101,774,362,246,838,369,
337,953,535,833,025,238,648,431,664,425,725,239,144,925,659,011,571,239,349,
254,025,406,628,379,143,761,589,769,518,316,290,171,997,286,689,753,048,179,
744,415,963,999,507,259,096,641,758,581,200,056,287,534,083,962,509,616,980,
644,095,335,270,428,105,292,148,687,887,161,891,273,189,081,525,881,872,338,
241,885,382,693,141,588,679,354,920,351,786,709,508,486,606,903,176,059,897,
687,636,864,451,998,051,403,382,757,225,128,880,884,167,722,307,622,099,942,
495,690,661,126,033,662,764,572,921,870,417,644,579,162,039,209,210,361,912,
492,850,311,172,486,806,961,622,312,823,398,342,258,703,504,897,386,579,399,
731,809,000,679,950,136,982,032,687,227,578,912,604,422,441,545,262,801,129,
371,177,408,210,382,231,535,427,560,930,671,264,017,088,421,883,462,238,554,
140,399,214,737,986,829,346,665,233,485,711,410,575,851,366,277,595,709,783,
634,206,220,973,702,438,533,392,269,964,066,408,426,691,914,483,423,307,549,
348,929,591,145,677,363,801,316,577,641,652,733,878,861,490,526,992,896,903,
153,692,105,314,086,749,866,768,940,261,072,491,315,199,966,043,226,025,394,
079,117,810,172,703,175,446,709,862,456,683,157,448,892,214,974,169,415,887,
714,042,454,508,036,409,972,116,969,331,962,285,335,548,633,374,663,927,490,
764,871,346,364,979,348,784,443,662,661,803,790,404,581,830,646,377,942,218,
311,437,725,902,648,767,558,010,270,601,893,467,065,320,780,641,752,863,071,
241,382,902,241,290,144,343,595,828,746,367,791,744,963,279,143,615,844,568,
580,143,987,954,719,186,277,005,751,202,201,426,966,898,966,691,889,555,835,
182,095,328,215,286,041,698,952,477,321,486,207,008,671,705,130,259,570,956,
147,661,243,100,239,032,114,764,895,770,852,428,057,081,068,961,415,666,348,
190,941,697,864,240,065,630,258,146,840,352,008,469,876,155,804,046,922,368,
238,122,025,978,983,732,208,006,848,767,972,190,138,626,859,162,092,392,938,
985,614,117,333,784,583,862,600,652,255,081,897,585,564,660,353,950,156,556,
112,042,690,276,116,075,828,247,511,246,079,471,863,613,551,756,590,017,246,
116,955,218,378,345,263,577,782,147,463,850,852,911,368,682,098,327,298,413,
494,659,560,188,206,422,022,002,794,239,923,787,044,319,709,385,507,207,585,
555,224,328,634,611,104,985,776,035,820,450,482,626,705,470,517,260,048,254,
487,895,117,405,948,370,664,420,186,205,495,033,189,309,911,499,186,201,876,
873,861,656,030,993,547,190,318,910,911,107,802,769,949,172,263,890,583,428,
067,689,042,232,820,316,285,119,591,701,692,676,529,838,510,862,336,359,514,
518,726,701,403,191,059,363,052,230,445,794,582,654,180,411,725,662,914,859,
054,574,343,805,759,632,121,938,294,491,188,863,934,571,013,166,703,392,771,
985,476,390,001,978,733,407,802,313,224,015,463,137,107,449,803,246,781,365,
379,987,987,353,245,193,425,229,223,356,672,387,805,368,163,233,666,794,807,
863,431,297,663,878,435,054,193,925,242,393,690,085,810,843,991,415,313,945,
063,973,906,045,966,132,463,465,953,396,572,260,664,481,755,746,475,965,143,
742,843,108,162,790,616,609,873,357,933,016,211,449,987,072,415,383,719,069,
139,220,671,518,639,170,651,912,227,853,995,384,136,564,161,227,322,579,685,
476,934,983,586,020,532,164,988,432,254,386,203,140,343,733,609,943,881,447,
900,987,363,685,264,729,230,037,600,054,419,440,415,480,491,849,761,337,069,
399,913,749,780,755,748,618,543,789,517,872,215,110,148,014,415,841,110,434,
005,743,247,989,560,646,467,707,677,672,717,838,467,831,568,151,399,646,110,
330,904,378,522,238,873,262,871,247,101,985,317,605,991,007,240,384,410,592,
217,729,223,013,795,725,461,114,688,603,522,666,546,641,312,722,239,591,212,
340,952,687,777,259,653,295,102,515,292,480,780,097,540,189,369,623,582,108,
961,018,440,358,605,715,400,840,616,692,959,360,967,645,904,284,658,458,787,
416,979,063,439,961,415,934,655,654,619,637,491,587,495,492,903,953,190,691,
234,950,862,887,049,276,624,182,690,779,555,622,206,963,202,469,605,215,431,
296,821,393,711,148,802,368,342,319,824,099,465,914,570,696,001,502,122,797,
990,168,432,146,930,293,812,369,725,300,881,230,841,279,063,115,119,866,907,
721,661,899,026,967,671,344,922,922,903,398,761,592,922,322,476,374,315,610,
132,434,482,745,556,368,658,874,329,048,935,254,083,788,358,923,296,889,821,
964,972,857,646,426,409,041,394,127,220,233,251,125,740,150,116,229,404,122,
213,174,553,957,707,739,078,802,075,373,761,039,391,201,864,769,544,076,856,
015,953,897,129,343,177,849,595,719,725,927,562,113,779,199,606,651,306,076,
028,926,041,835,733,354,879,999,349,371,699,827,290,204,531,074,542,049,366,
854,668,817,680,492,899,395,217,764,067,701,091,559,018,289,134,264,227,261,
613,310,884,422,210,682,890,350,114,097,882,750,064,292,885,494,632,019,761,
338,749,802,376,834,005,964,200,278,217,430,286,248,532,951,785,653,273,305,
796,911,049,342,348,883,865,276,414,986,766,818,803,050,334,483,508,374,574,
743,295,363,908,984,443,217,586,585,061,052,171,894,049,849,262,113,518,618,
646,238,789,275,211,955,900,286,857,989,910,815,611,211,923,393,158,302,501,
406,182,366,852,600,822,676,735,768,192,371,603,509,968,937,950,323,950,364,
828,731,012,690,042,090,098,148,068,292,608,055,300,744,185,848,302,799,415,
085,673,038,703,274,231,702,005,506,630,084,228,730,148,267,871,958,198,875,
653,578,277,527,852,274,168,441,088,297,292,135,176,031,616,212,492,092,560,
814,080,018,478,765,898,082,692,811,582,649,243,709,857,160,643,659,020,367,
911,583,901,877,282,968,116,967,557,227,380,241,190,905,458,610,615,846,116,
284,775,001,647,996,941,780,759,067,419,933,207,112,144,564,079,818,198,412,
865,311,731,113,551,963,815,320,052,381,468,060,819,025,926,984,527,913,440,
024,597,048,060,548,460,005,685,220,647,368,999,574,032,040,836,064,725,770,
463,978,469,789,059,082,336,579,019,254,374,755,140,302,040,062,236,147,448,
308,295,418,101,656,895,641,724,044,804,597,219,008,073,630,831,086,775,363,
718,289,426,677,278,845,273,086,047,769,790,750,187,319,236,290,114,702,852,
897,642,069,916,632,514,119,704,121,302,144,844,977,529,647,516,394,576,659,
878,429,327,312,634,806,930,607,277,928,212,843,555,020,836,226,075,554,357,
751,068,935,821,539,664,183,501,066,482,197,731,586,133,929,530,738,924,729,
534,641,976,735,630,888,747,314,931,246,734,418,187,508,449,567,332,010,087,
782,515,933,687,466,954,503,894,218,140,099,019,761,978,616,780,041,401,314,
675,444,788,258,451,692,934,704,548,623,085,489,977,190,784,507,038,811,541,
014,009,348,234,564,174,294,169,600,524,623,514,592,883,742,944,169,302,620,
192,981,791,273,388,585,414,184,627,774,947,250,912,491,302,387,350,248,393,
631,004,731,492,776,097,336,138,052,162,682,489,088,953,069,979,051,511,939,
990,807,223,909,064,334,175,532,162,508,157,325,980,603,921,680,338,049,480,
203,834,921,015,322,899,380,524,221,805,500,733,882,469,064,579,906,937,869,
252,111,668,399,977,562,838,163,172,623,322,693,976,338,297,183,470,925,482,
155,899,186,583,326,501,587,866,318,298,092,785,320,274,626,629,736,987,482,
233,520,563,023,342,015,215,509,279,847,229,854,469,172,436,301,905,900,613,
720,254,272,471,246,652,577,119,817,927,918,577,160,195,066,805,165,839,674,
178,265,077,829,228,742,707,322,622,651,342,081,758,916,125,519,044,307,619,
685,799,963,870,091,002,874,645,439,571,367,932,419,725,826,600,655,616,949,
948,854,110,555,620,023,529,694,965,859,662,206,128,817,833,620,666,735,285,
140,666,935,341,576,132,767,055,467,853,542,699,901,494,142,138,344,320,502,
448,161,575,828,965,394,067,546,367,717,232,070,999,049,507,796,270,879,981,
506,759,839,886,800,117,873,035,116,190,847,553,559,855,106,511,283,328,968,
439,940,958,100,291,826,602,122,181,634,496,089,112,877,738,517,222,034,903,
896,238,518,174,427,549,465,579,127,538,593,281,350,100,634,394,479,786,026,
855,023,799,290,905,831,304,962,837,095,009,120,502,315,984,811,715,416,955,
247,357,237,526,101,027,350,953,376,287,060,965,953,285,234,919,940,390,794,
136,395,507,932,908,616,232,631,681,811,847,121,251,157,035,021,034,145,365,
439,474,481,790,051,401,123,961,208,971,227,261,692,034,505,472,885,810,124,
726,180,039,128,286,532,415,018,013,055,595,260,575,189,097,008,471,452,336,
694,411,506,956,076,856,410,756,694,304,528,318,162,374,065,647,927,031,009,
316,909,161,921,778,014,898,598,483,022,461,098,411,918,105,230,314,743,761,
832,521,492,198,676,947,465,037,061,210,168,963,996,808,758,614,713,178,926,
937,278,001,275,779,121,640,039,401,121,547,645,695,661,869,153,992,178,501,
993,733,274,909,747,150,013,116,331,759,613,385,771,717,848,268,436,859,733,
319,130,135,385,107,979,940,770,410,706,326,992,437,481,751,771,543,138,728,
045,459,152,174,471,002,397,387,928,915,554,681,304,249,068,546,947,468,025,
922,868,334,536,176,653,967,762,163,675,873,381,538,084,282,778,636,610,872,
679,470,627,054,566,924,757,960,404,402,082,063,033,469,952,865,659,321,657,
725,351,528,875,606,137,565,012,537,503,119,983,515,162,620,597,236,828,228,
158,294,652,199,041,893,526,488,809,064,249,671,012,262,791,025,275,162,499,
647,339,371,715,378,486,707,643,785,897,182,316,910,620,515,573,382,782,664,
544,283,887,714,651,580,047,411,456,657,537,950,711,027,398,576,214,209,342,
399,325,610,768,934,686,777,435,428,397,807,470,968,307,306,577,593,740,812,
518,168,603,139,286,493,096,813,625,636,058,612,788,886,745,951,561,630,993,
432,223,038,579,392,590,691,050,007,584,008,390,150,045,818,959,863,248,506,
468,868,092,819,239,132,451,323,093,538,254,507,851,872,167,041,458,667,633,
093,775,998,612,475,042,263,248,225,262,220,470,350,129,673,969,265,415,914,
856,932,932,099,926,346,367,346,874,153,090,865,061,493,386,972,571,907,903,
833,575,410,738,252,994,777,663,745,139,778,062,900,632,112,521,743,038,416,
091,615,802,818,115,037,542,110,984,170,467,612,875,741,431,618,894,451,608,
362,597,000,955,162,227,069,990,888,681,865,188,094,563,755,967,945,358,963,
548,249,519,446,720,423,920,537,252,455,501,419,104,158,749,583,340,596,146,
901,417,373,596,405,073,478,673,883,295,328,552,954,150,637,529,032,065,202,
564,714,583,568,043,418,546,313,237,940,538,237,278,101,320,090,560,829,617,
262,512,518,491,574,108,669,604,282,992,548,147,729,102,449,296,451,157,681,
008,413,285,929,672,860,060,120,451,805,798,359,610,199,564,638,576,608,065,
705,062,099,243,908,374,954,479,325,777,823,451,382,269,134,835,563,652,445,
504,019,514,015,704,630,488,516,350,879,061,281,957,235,928,620,019,950,750,
994,746,030,610,077,369,056,876,815,851,518,942,749,735,444,777,918,764,624,
147,564,632,577,087,148,454,749,985,340,370,263,162,714,860,702,579,821,886,
570,625,380,626,512,763,478,355,158,535,027,144,279,486,143,988,412,607,935,
555,666,422,879,610,523,092,513,134,325,142,922,895,477,578,346,755,810,530,
558,543,733,138,149,821,333,247,901,161,001,438,800,551,071,051,913,453,633,
750,792,929,558,242,395,730,089,805,725,236,135,935,988,409,042,557,820,848,
408,748,843,080,796,548,339,288,319,183,362,076,932,470,492,362,670,628,600,
009,178,910,688,629,493,489,376,388,251,798,895,926,361,688,978,808,876,041,
632,802,643,703,345,342,286,160,487,281,868,433,081,428,122,994,921,503,507,
781,816,631,090,641,232,394,152,974,682,409,315,080,906,031,024,680,506,667,
186,394,987,480,975,023,236,358,607,438,232,548,827,502,055,951,568,312,989,
252,801,537,571,618,333,445,935,482,663,242,523,483,721,762,556,584,983,512,
112,061,053,849,215,644,248,822,534,902,762,539,316,628,174,712,702,706,792,
051,629,291,695,473,266,387,820,750,795,573,596,580,872,343,467,763,952,055,
120,215,173,253,683,088,658,712,021,320,149,088,916,926,523,696,513,156,843,
933,068,261,244,807,775,721,389,523,174,887,433,879,003,789,901,770,403,365,
414,075,979,073,611,372,123,332,683,849,050,667,712,176,061,561,471,135,327,
343,625,036,579,705,407,850,717,107,775,830,205,420,269,685,132,599,195,354,
170,108,613,505,096,151,674,468,563,707,306,055,879,310,325,355,295,486,462,
005,421,487,802,529,720,928,178,542,108,768,045,181,339,701,879,081,203,766,
673,286,478,727,716,934,110,734,295,151,028,507,873,028,398,642,642,795,815,
327,726,623,169,007,190,255,930,292,181,592,572,865,857,616,072,523,249,720,
426,547,315,186,324,855,813,088,914,472,619,932,499,154,390,920,635,689,557,
079,540,788,845,923,603,831,481,736,275,686,700,864,856,873,074,826,425,362,
177,174,008,782,642,033,676,725,246,529,441,435,135,477,998,547,271,476,891,
147,796,054,169,430,698,084,257,308,229,167,089,973,099,155,984,518,812,100,
245,549,543,000,716,778,489,865,066,104,048,915,673,737,999,478,014,730,611,
094,391,877,769,275,708,191,763,007,905,548,566,134,191,694,497,407,767,785,
103,961,123,778,359,264,514,175,471,565,585,024,795,160,391,331,300,929,339,
921,271,752,362,680,360,653,402,470,321,167,169,861,863,232,534,247,987,638,
232,325,718,949,821,600,258,861,925,818,628,462,612,745,247,709,737,473,831,
268,759,042,298,319,808,992,191,473,294,022,864,673,354,490,574,963,234,015,
438,036,399,096,852,684,540,611,530,667,548,976,756,724,846,901,057,540,771,
974,217,033,356,223,354,218,967,460,170,094,427,596,411,903,671,394,034,283,
338,223,677,808,825,816,673,924,868,372,766,407,386,444,062,189,103,528,973,
298,958,360,001,036,503,430,857,426,304,064,674,840,515,043,885,754,857,096,
012,466,444,684,675,187,730,279,416,771,399,145,264,047,958,218,030,203,858,
732,206,199,476,464,733,741,269,793,082,378,421,326,510,677,992,560,245,119,
210,361,202,550,024,713,364,519,713,242,890,069,224,858,841,615,242,778,612,
166,295,427,226,768,085,731,230,844,615,224,433,807,346,116,921,991,918,597,
627,020,311,080,567,285,893,171,216,158,935,006,224,654,502,869,163,844,978,
530,108,507,242,164,646,243,407,452,446,696,777,879,172,980,396,873,754,592,
020,685,268,834,552,069,839,696,553,886,807,572,299,901,797,193,101,073,695,
740,958,232,971,398,602,660,279,354,275,342,858,472,829,141,841,446,873,382,
614,537,935,241,513,146,283,326,293,488,202,863,692,790,469,813,599,501,434,
075,350,156,737,250,501,032,953,331,567,463,495,595,459,902,899,025,926,012,
382,983,090,896,867,574,815,788,164,557,057,041,231,225,563,916,500,846,581,
723,026,250,704,596,541,635,255,883,726,106,075,972,662,405,493,895,856,760,
860,868,389,729,795,926,141,080,079,784,898,472,733,972,373,040,648,887,130,
781,659,569,302,451,555,644,018,151,516,699,505,384,292,500,131,600,670,235,
958,889,210,931,680,760,582,722,244,761,910,848,310,780,344,871,838,798,339,
133,934,085,379,515,199,107,653,511,482,190,086,019,090,493,051,919,955,122,
010,914,946,896,366,573,600,273,108,158,202,116,845,396,836,146,248,680,177,
037,008,600,271,743,770,889,352,619,819,558,187,163,311,193,031,292,425,205,
277,559,103,476,059,248,647,930,072,651,436,650,710,207,369,947,918,706,777,
450,658,485,367,908,139,590,094,937,075,495,069,988,498,750,414,662,481,567,
980,720,227,738,755,036,862,027,106,893,029,107,523,101,097,595,427,824,893,
330,369,081,614,988,784,139,054,620,991,734,727,371,757,347,914,578,484,323,
754,248,735,661,235,943,519,357,697,015,074,756,752,978,898,143,179,490,520,
812,233,239,578,967,611,918,123,485,852,444,125,246,500,780,898,567,787,623,
815,850,357,561,108,957,991,143,971,657,412,956,717,448,664,772,784,259,429,
379,112,063,634,305,522,914,207,064,908,483,957,391,306,119,975,039,253,758,
520,627,394,161,004,218,041,112,130,056,761,662,966,970,613,096,979,866,362,
968,959,673,303,709,526,979,964,301,744,083,436,243,612,138,212,646,329,688,
417,242,127,361,858,349,234,329,540,493,774,649,427,173,912,922,145,776,380,
013,418,406,065,654,991,528,484,340,275,158,695,169,562,845,899,324,622,639,
683,128,660,451,278,115,692,600,680,991,784,599,804,112,090,855,068,678,309,
559,189,414,780,990,569,979,143,340,608,883,309,468,277,898,317,530,291,433,
066,626,878,715,137,873,804,558,202,043,407,344,574,865,503,775,014,913,456,
460,651,459,864,513,928,520,133,162,126,885,136,892,195,864,535,057,280,069,
315,292,074,137,374,502,177,022,250,528,638,486,425,813,100,681,890,537,353,
920,594,253,670,810,511,583,533,292,080,795,610,062,084,827,228,493,975,721,
113,645,610,688,873,432,479,650,785,207,764,547,742,419,045,683,513,423,778,
782,584,391,997,787,994,464,860,799,881,133,545,060,296,285,807,922,840,548,
064,025,304,149,392,054,652,926,492,234,409,263,864,432,232,117,283,777,654,
088,948,773,219,469,376,300,223,340,116,261,644,178,462,640,722,633,562,449,
672,562,739,604,081,816,579,487,818,155,777,286,029,212,817,162,727,784,031,
876,903,529,417,133,094,114,709,226,500,316,540,158,259,977,556,435,506,988,
423,122,501,752,281,220,528,052,368,490,005,951,590,904,539,152,043,365,878,
125,623,377,389,616,761,522,291,478,444,213,870,635,709,530,980,720,394,028,
672,634,831,557,216,577,744,982,661,326,288,466,394,930,083,220,627,595,782,
672,496,516,612,394,641,299,287,763,396,335,647,584,267,209,401,739,206,579,
749,152,695,852,646,813,959,708,822,420,923,280,942,596,570,097,946,206,657,
638,116,076,729,127,826,473,290,717,597,280,732,916,124,293,953,010,736,731,
530,648,192,924,895,774,699,268,726,949,750,929,821,106,761,218,442,418,740,
747,664,324,310,091,410,773,706,900,456,615,202,155,785,329,213,795,565,421,
849,308,158,487,011,211,474,404,125,021,333,174,947,805,933,961,952,764,307,
945,532,093,885,267,716,186,595,062,371,625,686,450,700,268,662,994,140,445,
431,448,066,958,054,829,144,410,709,868,478,531,394,871,227,569,844,135,439,
816,751,742,552,410,973,402,636,769,012,029,115,946,206,389,010,364,296,616,
185,827,202,350,752,057,210,002,747,586,470,796,177,972,179,099,813,115,142,
235,515,428,009,417,518,381,117,782,854,683,988,359,992,742,014,486,654,853,
112,779,084,882,948,612,774,275,912,061,820,112,894,224,151,343,969,658,716,
246,836,223,839,506,822,558,853,143,549,610,089,325,829,515,074,164,261,797,
195,349,998,052,292,488,213,549,592,983,414,724,620,966,816,410,279,847,528,
424,974,506,009,418,124,279,208,306,287,837,619,384,804,803,572,589,992,133,
702,074,812,110,896,250,899,489,580,724,466,464,993,460,451,737,409,427,242,
629,400,257,910,645,362,316,850,937,636,517,235,773,124,160,924,332,112,886,
949,059,251,227,111,795,429,978,149,936,041,478,101,844,506,720,802,020,261,
685,934,786,981,210,914,105,556,134,674,210,448,703,499,407,995,166,084,949,
482,786,670,335,377,926,102,355,934,603,454,292,800,645,790,525,107,969,727,
220,653,042,229,789,849,045,426,378,104,432,568,055,404,998,543,590,981,707,
059,977,244,252,448,949,054,654,396,314,286,336,491,554,585,738,819,572,700,
619,012,539,653,336,253,429,449,628,278,869,777,091,651,616,779,151,499,143,
720,991,321,474,805,337,304,894,428,392,433,249,375,956,134,051,743,645,471,
025,834,149,957,270,242,833,338,309,445,743,476,122,826,642,300,349,693,194,
710,180,124,850,793,183,684,816,367,207,000,636,998,499,605,658,461,303,718,
073,685,924,909,794,531,732,366,907,317,953,944,650,824,183,084,367,721,251,
095,047,165,886,264,177,560,508,647,924,664,508,674,401,709,618,411,582,226,
863,329,807,098,969,647,600,139,509,275,773,678,347,738,031,676,222,853,358,
146,575,615,901,703,640,126,796,405,546,988,783,089,982,066,810,497,002,845,
628,279,827,083,073,870,579,124,848,967,781,966,901,315,109,923,525,414,387,
881,415,886,212,683,293,110,235,825,274,281,317,176,956,188,406,015,621,284,
723,582,674,701,330,313,892,126,244,071,169,720,882,812,378,096,254,524,512,
646,146,209,311,286,025,756,699,752,990,311,311,325,094,601,723,198,034,252,
491,120,147,326,751,552,419,124,372,109,068,928,515,113,607,090,201,166,030,
255,883,340,097,599,929,041,875,463,956,272,152,986,371,759,727,828,659,515,
097,929,243,347,376,292,643,061,296,444,607,610,227,907,817,531,905,419,868,
488,426,986,458,117,287,045,554,115,298,337,649,260,453,363,195,815,469,156,
179,619,750,880,386,104,472,291,281,281,708,728,959,339,272,029,429,315,630,
826,407,381,362,703,390,201,437,273,653,334,689,388,207,505,078,560,109,117,
673,600,107,394,138,245,237,950,579,603,019,730,431,881,420,198,372,612,030,
431,024,222,229,321,886,005,932,233,124,269,575,113,166,265,899,962,857,155,
546,129,540,619,147,246,686,841,972,525,239,514,018,925,524,009,310,895,881,
806,739,126,274,259,683,757,953,275,001,303,330,354,919,926,858,494,779,975,
518,969,475,527,498,443,681,422,868,693,639,940,121,006,081,574,171,873,644,
156,498,211,710,726,136,238,674,367,776,244,336,417,930,942,198,237,593,190,
593,968,492,167,036,067,820,353,197,752,993,581,014,706,398,799,868,690,078,
933,185,341,561,402,505,500,565,716,358,149,218,875,003,733,556,657,202,271,
366,643,002,584,959,597,480,364,480,445,612,785,930,455,200,118,887,535,181,
287,391,846,226,796,986,160,437,135,599,802,643,975,390,169,534,022,344,194,
377,582,932,797,263,604,004,323,838,921,778,999,376,550,236,776,701,933,456,
527,118,845,683,730,287,475,536,600,168,516,548,090,699,016,322,286,540,523,
693,811,077,497,297,229,534,283,590,237,076,757,477,279,091,745,808,021,918,
630,121,910,330,864,548,915,839,894,043,524,435,164,174,577,832,299,512,896,
735,093,967,602,190,457,946,734,639,247,536,515,125,204,676,032,543,020,630,
217,127,042,719,310,446,359,174,054,398,737,417,973,706,859,536,473,329,501,
263,409,883,373,590,407,488,802,594,216,390,235,859,517,595,999,243,301,690,
761,751,378,506,003,440,229,070,263,332,655,839,520,336,770,269,899,284,808,
839,286,070,434,417,841,748,515,814,216,944,148,779,686,658,090,097,395,220,
421,013,312,204,211,745,435,163,736,814,648,309,606,617,672,460,148,390,968,
594,606,347,830,854,740,711,753,318,487,948,708,181,428,941,075,478,231,019,
411,479,968,059,932,373,672,504,185,894,429,145,161,382,382,481,852,561,924,
922,615,245,005,044,724,336,785,003,859,888,575,367,746,973,010,815,133,784,
083,263,550,708,379,274,168,453,749,467,376,442,627,486,278,561,419,254,079,
655,547,222,188,973,262,160,008,103,642,022,305,143,864,189,613,372,027,262,
456,574,455,008,634,383,404,128,170,529,799,121,187,879,988,741,864,390,583,
756,373,456,964,598,391,858,064,757,034,644,531,667,499,524,543,351,854,988,
718,761,695,172,669,040,599,929,842,132,965,093,864,843,474,004,293,358,912,
155,900,006,543,343,839,667,958,749,099,801,038,298,758,352,146,038,208,182,
471,893,009,067,250,970,808,911,541,146,026,281,551,287,900,207,947,040,466,
070,509,862,741,983,842,371,476,150,934,338,445,668,860,730,831,248,294,820,
723,721,845,176,273,197,287,246,546,898,346,661,453,212,209,332,865,492,001,
128,653,320,359,804,294,719,072,182,454,879,917,562,494,543,129,954,436,835,
671,747,465,292,985,667,668,613,348,114,227,546,755,988,390,492,773,799,062,
759,354,167,677,376,576,421,014,764,525,551,522,510,720,189,631,994,014,784,
288,981,927,604,724,978,770,227,719,630,957,478,823,431,003,722,776,210,240,
123,769,981,131,822,943,326,332,308,253,955,034,076,264,749,930,109,738,416,
396,140,954,786,323,525,167,111,362,919,332,847,203,593,266,943,195,231,373,
562,458,579,599,423,671,768,475,524,334,075,468,785,637,533,533,558,491,760,
134,541,626,122,523,619,471,905,134,612,607,797,968,850,415,347,689,575,790,
586,471,968,936,180,614,976,585,034,373,972,210,761,402,619,934,042,929,312,
147,614,513,089,560,836,225,388,396,295,112,626,977,731,000,293,867,487,999,
195,834,066,391,680,815,275,216,546,859,981,231,216,185,281,971,645,615,056,
687,269,708,193,265,650,243,979,640,652,161,143,520,124,770,132,711,602,648,
706,146,637,038,225,205,324,953,031,262,400,462,005,967,337,828,624,615,696,
596,021,655,487,184,222,550,823,874,872,269,848,578,548,546,552,905,015,251,
581,118,315,401,130,942,906,386,971,590,006,177,345,485,618,749,734,185,077,
740,453,197,174,617,780,023,294,326,154,875,288,435,338,866,397,451,398,058,
346,119,284,897,806,384,277,810,983,143,547,073,279,888,275,202,191,211,414,
763,625,867,345,704,063,274,125,453,274,183,045,129,308,850,990,626,726,667,
207,852,822,736,125,861,375,501,815,355,897,212,406,375,384,333,883,835,164,
463,946,237,690,111,218,497,573,696,630,921,205,290,432,029,835,644,289,481,
837,964,291,291,234,421,904,816,586,089,745,771,441,639,252,016,690,098,174,
733,050,567,306,526,074,601,214,241,119,663,090,821,077,300,991,065,808,477,
379,627,129,817,587,599,562,347,696,370,191,658,604,703,781,612,647,610,112,
903,578,585,759,697,655,674,563,982,606,475,625,200,353,676,033,610,269,353,
566,211,525,521,481,426,522,666,702,792,994,507,183,224,589,457,484,547,946,
819,564,968,605,807,646,199,294,873,415,611,757,858,877,968,007,391,919,862,
037,912,548,373,958,592,179,695,251,031,060,586,895,868,510,299,150,983,057,
170,027,230,471,201,939,773,197,319,313,096,500,823,238,406,343,034,492,827,
555,192,094,317,991,558,891,609,159,718,932,037,977,038,745,482,075,798,730,
823,981,085,244,235,865,180,916,187,178,470,721,396,552,239,012,424,710,394,
105,700,934,098,301,964,295,852,627,296,090,498,369,612,121,428,455,782,797,
590,755,146,400,450,264,763,046,041,081,799,767,796,587,129,813,194,919,979,
976,889,785,120,651,571,861,242,020,529,629,925,646,099,224,569,884,705,854,
498,011,278,315,692,845,299,064,033,216,094,872,191,938,926,969,892,021,443,
599,216,105,679,447,310,249,143,677,307,118,121,197,020,690,945,252,664,419,
048,527,800,880,187,073,416,511,972,942,687,975,583,133,811,586,772,391,198,
414,213,552,840,160,961,544,306,704,662,846,346,543,722,027,200,361,298,522,
224,308,048,997,159,531,552,925,264,040,701,546,836,336,173,265,957,521,984,
363,504,626,832,089,401,706,198,606,804,298,429,227,792,766,969,824,605,379,
102,921,730,823,155,397,881,475,273,191,120,740,170,889,285,670,144,220,474,
474,726,550,000,102,647,851,962,064,066,347,794,133,478,982,113,707,311,441,
985,561,520,730,659,133,712,404,027,875,906,931,656,484,448,314,181,044,887,
823,596,325,991,127,740,970,386,642,360,438,520,242,045,486,281,083,994,855,
542,358,329,417,185,897,329,674,228,227,457,014,811,754,154,412,341,390,512,
553,247,662,065,417,556,224,173,188,088,355,198,797,770,952,965,025,269,104,
254,979,650,897,975,131,094,994,060,465,924,679,145,336,671,935,070,064,420,
253,754,892,109,964,316,457,894,252,180,734,918,843,341,296,781,881,233,322,
457,725,916,064,551,040,809,318,697,113,952,803,412,222,540,245,682,520,156,
226,047,208,832,050,384,644,319,671,072,531,941,959,719,791,589,776,866,164,
075,329,531,483,488,164,027,728,827,564,138,287,912,523,451,998,306,426,365,
187,275,288,577,490,065,370,688,097,170,121,837,622,851,477,152,459,092,292,
694,383,589,032,119,794,807,492,919,511,954,676,924,656,763,335,015,284,731,
488,917,886,722,777,062,132,890,338,117,849,563,277,921,718,737,924,429,102,
543,875,821,480,295,122,167,740,648,046,138,579,994,792,721,265,647,790,634,
657,742,327,758,038,427,687,719,989,915,488,301,697,292,269,090,702,637,136,
497,098,689,890,797,831,574,765,178,562,350,571,859,312,921,252,024,446,206,
159,351,897,774,450,219,019,714,182,789,780,397,567,857,125,956,188,042,807,
936,445,024,838,188,115,656,801,413,223,155,089,286,175,635,467,625,114,344,
375,639,531,035,086,847,254,611,544,980,730,408,992,067,802,235,967,585,485,
726,424,095,873,645,601,393,523,243,536,084,441,758,568,079,879,802,003,230,
532,220,677,801,847,998,422,171,570,199,616,137,866,424,849,589,661,163,831,
662,773,649,731,938,312,663,691,287,695,249,429,086,799,859,876,065,049,081,
881,113,611,585,689,234,971,989,718,874,593,395,696,000,777,835,487,323,372,
020,545,951,249,739,518,913,459,806,327,229,996,384,602,512,684,362,633,910,
794,729,903,880,771,767,300,665,331,137,350,851,842,438,365,941,920,497,618,
638,944,977,115,208,386,750,692,977,331,231,928,191,611,504,215,001,286,475,
260,468,486,542,985,708,918,328,949,317,828,518,168,658,097,571,187,783,335,
074,090,479,549,555,647,050,114,453,412,333,867,625,525,827,410,406,122,434,
891,843,447,638,272,780,302,622,873,908,645,344,814,870,970,479,470,132,273,
731,946,606,326,643,775,624,069,104,898,216,365,562,806,719,912,046,262,786,
850,653,316,093,553,017,066,958,037,926,113,619,773,577,849,327,562,384,397,
036,301,774,041,072,243,548,270,748,326,407,490,934,632,521,974,388,099,644,
555,968,236,223,481,036,448,245,102,387,538,981,439,242,114,108,917,659,409,
451,072,191,317,820,798,563,081,133,922,866,547,009,699,468,039,719,854,513,
701,966,554,517,979,125,070,225,913,316,843,137,505,076,039,091,013,452,521,
709,494,292,534,856,896,892,203,009,175,742,652,624,542,941,343,647,323,358,
589,248,221,882,382,150,823,131,576,839,805,103,146,014,851,925,581,915,309,
249,759,809,592,254,952,802,118,376,439,264,189,232,623,022,327,505,003,916,
765,011,103,696,182,509,184,592,149,439,240,098,374,470,931,962,631,973,107,
477,913,536,708,022,313,585,203,650,069,966,825,220,982,556,284,398,818,219,
576,015,984,678,932,984,098,264,983,090,026,065,449,155,727,783,688,731,360,
560,644,864,250,397,958,413,911,285,443,657,812,681,572,333,701,629,356,507,
201,209,675,738,475,443,481,994,471,411,114,131,846,060,092,646,297,917,701,
988,507,313,714,314,433,715,254,411,517,535,027,886,491,268,693,381,790,895,
473,142,395,021,303,031,303,860,618,149,469,734,455,759,305,720,098,469,640,
461,109,035,952,424,632,469,867,620,982,218,852,303,599,889,085,822,734,945,
350,875,354,769,712,548,184,204,657,329,220,721,688,026,702,249,066,032,562,
401,092,254,751,965,531,473,869,170,486,993,844,634,196,986,580,723,857,140,
180,187,829,304,124,501,630,650,450,897,819,785,131,257,693,137,001,181,567,
295,152,625,307,264,387,302,550,136,179,949,201,698,477,034,256,583,621,175,
439,444,203,504,256,933,548,950,777,204,259,731,601,285,773,072,939,412,557,
584,687,068,692,290,655,350,371,707,810,464,589,713,395,348,937,273,275,900,
629,388,087,467,094,188,374,560,780,242,220,602,916,064,867,417,496,478,544,
013,551,732,886,240,830,135,671,362,785,723,910,201,992,028,908,940,050,705,
183,755,982,924,396,048,101,658,461,710,079,345,567,926,695,803,866,151,879,
922,837,462,345,050,170,281,805,260,418,692,818,610,444,710,120,121,440,371,
155,498,524,476,129,432,524,713,417,507,952,746,756,258,434,526,964,490,789,
593,916,963,778,928,788,626,053,978,326,690,738,942,927,397,628,929,381,388,
101,337,343,013,702,389,606,517,088,384,950,161,596,567,740,962,652,335,595,
505,932,953,043,340,952,694,577,742,594,677,037,891,804,142,203,263,877,281,
655,756,843,652,238,121,914,770,348,117,225,738,487,849,993,406,072,590,158,
304,388,131,019,977,933,868,966,923,172,331,088,773,147,438,865,609,050,072,
271,113,595,697,231,654,264,342,058,286,583,859,879,093,890,507,125,313,915,
120,108,229,027,178,948,470,428,793,614,559,691,638,480,992,166,155,206,956,
730,251,148,490,759,383,505,469,231,988,429,895,352,588,337,245,997,304,432,
830,772,863,479,381,116,064,873,789,621,272,378,970,144,620,420,001,280,239,
794,228,976,973,330,204,361,230,684,771,250,563,199,311,144,361,324,700,706,
782,847,390,654,383,982,662,613,966,549,236,435,517,193,888,519,439,027,880,
092,509,521,873,871,106,683,957,302,110,215,310,308,724,126,648,787,640,074,
878,230,146,247,473,399,504,460,399,825,862,038,033,981,299,935,035,499,851,
864,291,837,829,978,378,412,628,277,666,989,910,810,187,957,916,767,287,236,
132,956,515,254,554,180,592,128,158,657,886,875,251,061,048,341,686,332,483,
844,895,531,665,231,879,849,806,227,856,004,454,027,378,589,119,770,541,507,
060,722,643,438,017,463,248,758,885,674,983,358,257,401,551,767,302,690,345,
312,064,585,944,988,365,294,690,828,006,870,103,861,613,619,567,818,343,466,
499,441,523,168,909,184,245,494,959,777,073,714,822,523,165,483,761,599,645,
767,035,570,611,065,075,064,692,164,092,142,403,970,398,085,997,005,467,802,
421,678,833,988,318,869,654,626,130,567,823,310,431,777,674,244,251,716,446,
983,102,981,588,079,665,953,103,886,533,797,611,622,436,337,479,807,529,383,
851,160,371,321,149,522,751,187,413,938,757,703,280,948,717,255,158,461,312,
130,521,398,022,616,749,412,905,530,005,795,638,528,040,358,329,367,374,461,
795,708,052,558,198,200,515,680,430,394,229,891,989,137,446,066,774,806,561,
931,863,022,678,782,858,301,348,774,018,421,492,017,056,831,808,193,641,558,
462,471,351,018,651,148,367,954,176,519,679,305,697,790,572,048,392,104,912,
009,975,548,101,120,625,173,942,944,718,088,909,893,881,448,968,083,679,381,
102,328,955,298,434,635,944,072,094,571,921,745,516,512,758,049,028,057,070,
708,066,967,777,815,476,753,643,556,876,078,333,754,669,866,036,005,115,701,
260,838,812,753,705,733,366,285,579,797,284,798,532,008,395,233,128,979,502,
544,838,619,526,529,484,039,644,898,033,788,506,080,195,204,026,123,918,791,
314,420,079,241,358,490,224,207,780,732,195,127,118,027,368,043,930,401,552,
613,874,209,511,517,753,323,582,095,382,390,154,222,943,978,136,090,312,719,
315,488,948,456,987,735,506,360,101,894,964,213,678,285,916,150,481,359,997,
867,766,761,769,918,029,220,732,348,000,755,134,049,726,811,271,182,022,177,
165,208,229,382,109,556,685,705,101,434,250,496,883,508,899,856,742,868,822,
058,958,115,941,770,364,566,738,396,116,109,829,281,239,685,692,495,086,869,
061,909,435,062,563,449,856,773,718,084,331,445,186,734,681,212,825,713,788,
894,275,598,825,394,869,305,618,653,732,392,607,488,702,368,412,578,507,184,
323,445,443,240,050,705,054,217,862,558,931,419,993,241,541,427,697,163,716,
336,053,146,830,149,728,088,985,181,094,658,643,418,138,088,858,319,813,366,
019,842,558,115,791,575,690,709,153,036,537,979,820,975,307,140,619,024,725,
187,597,322,688,196,677,142,760,699,851,045,476,211,147,263,022,053,854,554,
411,940,041,394,578,947,570,772,016,374,679,977,652,494,553,187,474,681,660,
046,517,468,138,041,933,883,929,568,137,634,730,221,420,301,823,909,676,340,
755,781,355,769,390,121,438,396,082,909,598,481,503,478,308,594,722,196,193,
551,828,196,505,507,244,801,125,979,215,394,568,879,630,546,691,428,862,448,
241,799,487,512,536,073,163,508,501,982,480,993,649,007,106,659,905,502,516,
117,256,086,381,337,396,310,232,517,829,553,198,601,643,137,350,038,625,888,
263,074,365,192,662,509,401,512,029,434,165,854,897,154,508,497,939,890,399,
064,144,845,147,779,741,623,343,995,850,225,469,275,770,709,377,946,418,232,
935,550,029,571,746,578,327,562,776,171,201,600,974,489,779,928,135,237,364,
744,053,953,374,417,648,618,252,697,166,003,603,046,020,419,516,308,153,922,
023,758,616,863,331,356,045,285,140,158,108,055,269,034,244,385,521,733,051,
415,441,809,973,275,642,829,829,740,955,637,591,055,544,306,444,689,638,776,
656,516,160,852,700,222,651,621,389,630,178,692,526,297,125,990,033,370,216,
644,449,787,594,056,578,469,660,310,306,987,318,843,716,289,938,855,799,550,
428,023,347,298,071,466,303,993,762,490,931,040,879,969,138,106,269,393,709,
281,473,689,497,189,759,425,324,432,373,864,539,151,673,452,829,923,490,861,
130,193,784,458,968,628,643,235,406,489,031,399,908,552,681,941,510,879,531,
965,659,154,926,910,477,362,511,140,447,233,356,721,404,296,483,780,750,260,
657,858,827,821,861,822,797,242,220,303,418,838,549,089,526,816,819,455,605,
527,061,789,301,015,683,687,452,597,300,419,162,530,275,806,503,352,923,225,
096,454,705,045,027,936,618,209,563,800,260,745,063,487,799,828,710,010,765,
165,607,735,551,316,728,098,349,255,686,618,472,567,454,843,697,640,600,514,
006,850,476,265,410,413,979,310,606,782,077,096,754,359,624,168,803,560,237,
793,379,403,301,040,280,192,279,650,940,724,594,235,779,217,043,923,002,186,
964,543,354,628,262,372,799,235,835,678,192,409,354,070,970,180,402,233,689,
366,180,446,800,998,057,349,656,785,961,935,687,734,214,530,499,293,981,456,
980,941,608,790,820,914,455,343,470,184,698,573,496,214,654,336,807,445,575,
469,416,488,705,884,151,263,560,653,695,714,505,429,866,547,367,554,038,099,
183,689,213,634,863,539,938,955,147,031,463,079,518,931,670,654,034,449,983,
680,601,235,766,838,521,977,690,787,234,287,454,445,062,845,147,069,072,493,
776,115,009,570,466,119,029,056,392,783,986,772,149,134,750,028,622,290,036,
032,975,214,746,889,510,467,803,022,197,880,817,151,715,582,021,113,259,161,
877,761,779,234,932,013,847,689,017,111,572,925,345,596,833,476,337,463,612,
469,492,689,253,175,649,162,790,485,713,407,061,294,072,433,038,820,897,367,
351,569,592,110,443,569,854,993,060,992,477,343,803,915,694,113,379,831,939,
268,330,407,793,900,169,047,116,624,064,590,591,673,826,069,070,574,373,934,
422,350,723,178,671,502,843,597,985,182,726,977,721,117,031,360,848,642,526,
510,040,296,169,905,108,533,709,272,446,203,562,448,291,124,999,930,955,161,
233,424,712,425,109,693,417,976,688,804,356,016,287,829,287,355,340,951,637,
253,594,097,973,623,127,535,982,079,408,869,282,255,966,476,925,370,591,541,
324,978,102,500,489,392,601,289,963,954,804,891,938,316,018,540,019,730,550,
943,163,864,258,769,264,722,310,195,966,342,886,475,797,258,039,680,697,920,
936,892,855,777,603,221,571,634,158,062,739,315,090,615,625,399,215,637,537,
038,250,903,331,213,745,763,552,817,624,571,393,532,057,178,366,051,580,648,
136,459,475,511,104,749,142,731,430,340,039,670,156,187,279,240,612,771,321,
944,636,500,728,430,797,036,724,356,540,952,355,446,918,164,962,767,580,110,
330,641,582,558,311,766,488,333,052,421,192,195,714,120,859,346,983,344,145,
517,696,415,399,977,200,688,731,054,782,413,206,933,449,490,692,561,211,968,
436,186,902,945,230,368,694,136,553,524,725,396,356,129,325,484,705,763,636,
338,299,572,495,250,756,456,747,622,457,939,613,247,470,778,313,836,545,792,
619,379,157,957,962,171,583,834,534,203,164,917,526,912,672,995,361,576,934,
773,338,931,846,295,787,239,555,181,946,089,264,118,367,210,741,882,767,523,
302,354,180,708,332,674,295,593,249,093,031,482,540,761,695,945,106,503,349,
590,525,956,095,181,705,708,111,079,047,106,611,243,968,921,714,899,049,196,
445,958,004,341,332,710,878,796,573,827,337,798,498,916,711,979,334,121,942,
555,225,395,774,939,284,548,027,736,642,945,632,196,215,523,315,412,723,508,
275,290,478,514,126,134,617,018,260,322,350,121,097,960,937,045,834,009,154,
833,958,994,351,276,802,437,558,544,832,605,587,177,552,063,556,115,090,794,
414,597,504,672,024,951,169,967,048,154,516,931,554,722,695,530,675,968,768,
391,467,302,628,043,127,468,886,843,364,056,918,038,195,199,767,289,266,718,
134,159,420,795,362,317,817,482,627,124,584,930,293,136,193,463,869,763,705,
872,754,898,257,338,369,011,866,514,948,190,262,135,329,278,961,003,375,434,
276,210,098,616,798,394,172,269,932,565,102,065,443,123,770,839,722,290,965,
678,814,987,078,648,879,706,447,327,546,560,906,741,840,733,570,423,381,084,
957,784,305,241,391,029,230,402,564,341,204,474,460,315,590,389,651,205,791,
227,641,572,770,411,035,831,975,937,591,573,420,826,935,137,454,203,153,174,
199,302,536,040,445,829,620,028,949,195,650,233,975,261,799,327,545,341,983,
393,254,330,111,201,101,414,173,722,028,319,668,969,215,301,454,229,258,095,
849,286,024,110,561,840,968,347,204,074,431,345,304,376,705,313,877,422,188,
057,103,367,435,667,863,411,314,013,894,018,677,308,185,660,086,721,715,787,
927,557,011,197,873,757,040,295,315,481,853,553,815,496,224,606,124,175,964,
950,849,352,060,507,330,085,499,552,668,414,066,924,134,500,254,644,017,476,
042,373,705,743,183,078,491,347,036,644,726,810,733,693,948,574,214,634,758,
650,186,712,541,300,877,033,059,260,111,749,507,201,775,212,008,226,760,342,
587,253,041,119,813,391,677,169,937,294,994,177,447,769,466,426,788,682,165,
827,517,423,721,477,220,742,727,831,192,313,009,579,145,930,857,519,331,377,
462,487,951,810,431,951,760,316,081,151,582,272,598,531,263,199,473,152,446,
324,985,163,908,083,492,054,689,861,059,601,228,555,699,148,626,983,056,704,
123,478,077,862,596,396,353,939,039,055,907,335,261,156,883,148,775,548,605,
340,336,291,535,479,373,066,100,267,672,127,350,861,334,663,853,455,292,132,
817,053,904,856,790,629,667,163,370,199,749,013,863,322,951,575,855,123,673,
058,326,689,854,865,728,203,892,639,670,450,119,744,164,608,176,716,629,409,
343,534,402,079,971,934,697,633,958,520,731,441,084,610,144,861,369,748,132,
351,291,397,001,859,736,845,416,471,537,740,707,186,567,404,395,119,049,464,
053,665,498,153,900,019,195,896,852,752,964,808,708,047,194,272,262,889,169,
602,243,326,202,995,960,894,742,205,900,959,679,275,131,642,776,009,477,190,
476,962,453,637,759,687,394,516,272,210,010,575,016,195,623,825,590,114,175,
495,892,966,202,207,462,608,426,007,606,374,496,896,056,026,526,280,637,232,
585,472,335,992,457,030,140,975,532,721,374,115,953,068,760,110,865,355,825,
986,030,314,198,739,336,703,665,041,620,812,073,453,524,209,701,034,867,937,
623,907,512,120,918,162,684,740,798,440,862,312,007,758,759,064,116,209,996,
775,955,976,493,742,227,041,100,012,279,250,144,532,374,685,443,482,566,772,
171,347,144,945,699,878,514,926,106,330,336,072,265,428,896,659,866,949,617,
805,681,149,916,564,081,036,636,743,025,490,526,359,912,057,807,362,929,830,
476,136,989,673,616,654,732,327,975,619,926,333,084,405,050,789,594,708,388,
193,534,589,428,288,763,670,856,474,134,060,012,546,812,720,132,427,893,583,
328,896,071,155,260,511,325,937,739,316,843,007,621,120,122,746,954,874,508,
976,634,671,404,155,324,600,878,980,508,443,809,463,147,469,700,301,867,837,
816,017,846,174,227,917,845,416,610,171,212,459,065,734,506,940,015,236,097,
217,912,407,469,287,950,567,553,453,690,563,993,261,653,517,788,837,476,683,
617,636,534,454,562,603,378,410,606,887,699,268,531,244,725,296,504,818,771,
833,295,679,596,206,692,648,380,277,435,285,471,488,475,884,983,955,983,694,
021,390,760,789,259,662,400,057,366,939,627,049,914,173,586,448,628,728,014,
343,417,574,238,613,276,377,929,336,748,810,864,236,759,828,962,498,362,413,
329,618,838,280,608,676,353,516,551,940,576,538,896,865,443,265,615,169,785,
775,130,597,823,845,204,251,149,852,873,926,421,543,606,892,072,774,487,742,
716,962,083,683,517,303,111,012,831,800,862,020,634,453,852,512,658,322,891,
373,411,435,670,937,736,988,942,221,214,864,833,390,770,672,275,108,476,070,
319,247,118,069,536,507,022,949,809,200,111,904,467,571,200,625,080,707,108,
524,982,887,114,624,525,167,910,317,932,243,021,470,913,073,519,015,199,513,
930,278,605,263,032,892,008,238,518,545,731,338,545,755,832,512,826,891,538,
082,046,515,171,727,651,260,578,472,773,354,515,837,159,956,322,096,541,730,
847,286,023,395,255,086,013,616,978,244,671,507,464,218,314,618,850,431,233,
222,673,429,662,469,613,975,702,315,666,127,018,217,986,461,659,979,174,277,
803,834,825,551,750,493,656,523,731,608,393,394,054,226,212,096,374,633,000,
660,391,389,329,391,722,288,969,606,908,541,565,225,286,535,652,566,454,941,
511,231,738,641,779,280,260,218,670,874,995,971,901,573,501,561,860,406,706,
621,091,951,208,300,528,236,016,788,809,597,691,781,632,119,105,010,786,285,
321,705,573,658,470,022,099,473,188,664,976,816,632,297,718,911,748,969,008,
455,523,007,513,299,539,540,260,347,081,310,976,508,530,936,820,489,203,368,
422,050,389,249,979,238,343,141,964,274,946,673,679,465,803,213,632,979,275,
273,436,590,554,622,870,541,744,421,261,928,096,511,249,715,854,768,707,905,
191,674,962,844,030,783,945,040,235,327,139,341,181,339,253,031,529,808,923,
614,326,951,635,535,535,348,191,162,743,475,338,578,495,278,799,411,211,518,
667,198,818,604,756,418,109,697,647,416,767,937,134,555,397,600,638,975,631,
416,068,185,378,283,615,370,466,408,796,436,401,346,524,601,786,716,795,932,
227,061,048,451,663,963,862,619,456,044,219,394,215,153,642,001,659,655,870,
945,152,436,673,740,475,077,988,558,400,580,106,940,573,744,293,904,306,062,
390,707,561,280,605,443,814,561,642,968,765,200,142,843,062,990,726,415,591,
561,358,455,866,104,667,123,313,859,675,803,921,745,555,799,809,882,030,551,
241,529,583,677,921,164,828,741,879,523,199,481,512,221,979,456,315,484,260,
298,039,867,735,398,565,215,514,039,287,258,033,876,919,521,763,969,388,713,
149,595,423,765,822,567,866,652,835,878,097,214,005,865,648,117,589,479,213,
130,236,800,374,496,219,812,574,138,417,837,335,633,488,342,557,849,376,409,
573,512,241,888,789,183,269,593,202,402,962,712,867,560,794,962,121,750,901,
646,578,914,041,045,969,492,356,573,839,098,232,863,030,230,195,158,959,301,
878,145,659,867,738,650,913,550,430,147,269,236,131,399,394,961,767,368,474,
757,772,024,116,583,311,135,817,313,760,031,988,977,152,539,102,723,344,976,
485,434,814,060,957,122,283,869,460,509,209,319,278,970,557,160,783,397,655,
994,167,620,105,499,406,600,374,344,941,883,199,694,335,749,241,651,702,309,
352,135,022,124,601,492,875,118,467,614,648,825,463,822,616,305,398,720,102,
279,283,113,414,729,420,262,725,242,478,640,147,289,569,755,687,948,886,813,
921,522,898,490,889,545,673,483,548,165,198,547,180,880,280,995,449,397,828,
612,507,922,616,038,458,431,345,306,426,109,252,688,463,273,913,431,838,727,
017,042,628,455,248,708,141,985,485,325,411,602,365,559,277,154,623,027,011,
823,832,102,244,759,144,861,403,937,255,761,707,360,159,311,178,281,858,465,
032,256,351,792,781,875,611,413,020,009,535,525,106,227,952,775,094,027,450,
905,473,978,706,029,656,211,914,126,914,081,237,467,801,884,060,837,771,965,
145,937,295,428,334,290,271,433,720,693,892,119,194,705,258,477,370,103,113,
526,578,989,944,152,088,142,623,057,254,718,703,924,825,785,512,664,805,859,
698,974,081,927,380,979,483,449,634,040,143,360,300,884,981,610,328,002,611,
153,110,086,396,286,215,414,629,692,484,545,885,316,814,062,194,838,597,596,
725,789,415,222,039,612,492,727,195,607,791,430,653,341,018,472,256,779,601,
721,624,767,534,670,525,896,546,720,915,970,677,437,503,940,115,150,966,770,
887,471,527,427,793,411,135,590,984,029,621,464,072,307,652,898,225,020,333,
462,935,312,556,033,891,362,972,907,479,656,002,924,902,658,678,631,731,801,
814,244,469,607,082,530,585,824,258,750,856,920,110,559,500,856,635,754,044,
358,135,488,355,915,496,531,106,008,041,132,944,480,909,642,910,335,730,350,
494,826,991,789,282,079,980,095,100,915,952,584,810,530,006,012,149,758,174,
245,136,008,929,571,421,429,570,605,713,340,178,784,131,747,431,267,098,650,
652,931,815,970,525,092,514,345,892,540,956,122,826,819,101,978,203,101,505,
160,851,854,061,928,620,350,319,754,210,520,638,903,121,621,271,225,807,723,
606,139,147,852,925,555,988,192,388,433,314,782,232,034,665,539,728,871,006,
581,849,592,513,750,319,311,979,376,060,466,856,877,484,634,545,059,085,473,
639,104,730,538,825,393,765,288,036,461,874,128,007,435,428,278,707,732,138,
043,203,934,380,463,214,478,239,145,716,142,884,619,112,888,179,489,194,299,
275,797,965,101,036,875,319,420,951,630,352,232,437,105,914,712,017,444,360,
912,708,976,517,449,315,726,711,257,391,347,691,902,610,682,436,507,687,785,
414,595,139,621,848,605,612,074,913,556,771,830,980,692,122,841,273,511,151,
307,004,962,594,277,486,235,556,368,215,299,766,348,020,486,814,533,504,942,
522,753,456,658,824,030,573,783,562,849,472,689,263,637,009,983,409,577,641,
648,942,170,252,396,145,891,068,703,522,132,034,241,154,461,032,191,842,574,
966,144,485,109,876,623,682,433,205,342,326,169,684,038,838,139,488,617,816,
325,503,141,489,270,540,017,589,109,113,148,902,461,276,382,649,693,857,388,
508,551,150,427,885,623,614,608,747,607,704,263,287,848,727,886,943,239,352,
484,929,744,152,956,907,165,282,703,102,809,024,449,507,379,689,430,736,079,
535,804,965,174,256,583,235,364,592,028,475,433,644,967,827,207,270,471,692,
843,707,262,913,615,157,436,837,308,082,877,741,607,899,977,171,926,351,953,
967,612,144,603,957,346,364,281,382,004,421,354,129,241,302,511,987,433,488,
763,721,317,888,048,816,387,493,395,712,682,704,184,197,058,444,492,519,352,
428,479,446,478,536,034,133,124,865,241,338,360,277,432,096,315,314,622,819,
704,134,034,167,582,086,036,748,808,139,340,093,174,322,721,826,703,825,514,
141,530,955,811,153,417,039,009,469,117,693,484,956,038,932,534,332,953,739,
754,989,122,940,707,072,277,514,600,004,388,104,824,802,887,498,489,116,097,
253,713,977,572,438,444,293,497,478,531,494,390,155,295,983,234,946,512,734,
181,754,017,367,338,190,037,284,882,453,788,067,521,208,325,379,158,072,142,
517,351,767,927,871,599,260,923,119,682,212,130,389,699,884,819,476,052,970,
387,771,612,923,390,050,289,378,407,781,306,368,886,647,567,501,740,872,560,
501,738,006,033,728,930,251,801,631,971,024,485,257,668,619,752,707,789,924,
588,572,445,431,878,926,982,693,829,579,331,234,101,479,222,471,529,409,767,
953,877,635,512,320,011,508,503,298,218,856,625,216,049,592,357,687,594,040,
997,701,009,334,755,556,346,715,213,308,838,220,343,937,713,331,384,235,579,
204,272,477,836,086,802,493,203,681,970,318,604,202,109,523,143,699,885,198,
809,338,968,682,040,377,162,711,083,481,933,081,945,477,031,505,216,343,147,
353,985,008,753,270,373,902,753,667,166,469,121,124,586,695,920,850,848,039,
751,421,208,965,441,711,530,515,179,448,922,309,185,789,510,305,391,926,857,
232,993,813,996,386,087,827,183,186,178,500,006,419,908,928,314,656,334,652,
623,253,242,817,708,902,804,314,898,816,837,379,190,481,815,321,044,322,895,
332,826,109,526,451,110,624,455,762,750,967,529,114,184,469,297,468,541,483,
476,341,423,243,448,094,733,121,589,519,360,365,178,236,090,493,151,096,996,
647,963,706,111,737,684,195,024,345,552,858,154,429,193,446,044,497,574,476,
612,021,861,404,647,934,568,047,254,991,013,356,194,361,347,276,831,939,360,
813,176,691,626,985,251,561,474,588,911,088,902,815,451,331,126,057,633,957,
511,351,794,991,098,117,953,353,311,729,710,964,121,657,809,540,593,146,219,
219,842,093,677,330,495,177,060,787,833,726,855,807,982,729,582,710,739,857,
442,590,358,039,621,938,790,650,731,213,884,072,019,420,518,623,784,464,774,
611,358,654,223,726,425,979,691,886,438,248,502,318,982,056,625,628,391,109,
680,698,443,582,135,996,052,913,985,102,245,180,681,357,985,245,912,153,287,
897,737,609,804,276,971,584,186,647,299,624,127,379,356,476,510,234,826,820,
201,147,384,865,493,751,689,047,525,447,045,482,700,495,641,731,256,377,613,
159,297,141,038,258,832,905,237,374,925,746,545,386,930,225,967,137,591,344,
669,348,807,875,172,283,768,547,043,060,055,737,125,979,333,159,442,204,314,
726,365,158,440,781,953,816,449,134,667,484,212,791,226,647,769,887,052,502,
432,438,367,228,287,222,534,674,617,663,024,655,292,748,776,767,235,519,738,
745,233,309,685,770,965,756,865,515,857,729,635,943,815,509,264,593,893,532,
186,350,672,565,461,703,661,274,138,551,364,039,164,734,279,546,074,507,172,
602,583,760,399,238,536,384,343,239,730,765,268,347,625,042,186,304,759,404,
155,994,973,295,038,409,743,526,231,497,412,460,699,406,070,568,548,657,695,
142,631,972,832,499,878,929,159,621,744,400,889,020,325,365,019,058,631,681,
402,417,782,568,534,445,916,998,379,711,445,846,975,868,500,519,293,062,703,
847,832,076,973,166,661,752,602,483,772,631,634,704,656,030,668,185,028,983,
727,636,967,441,920,506,302,431,036,246,593,497,199,251,890,456,056,044,361,
774,164,189,165,631,931,416,022,618,630,101,002,540,087,725,167,330,075,999,
672,750,973,421,414,909,672,693,066,723,761,518,133,118,660,698,939,114,756,
156,396,427,226,909,097,732,380,833,565,829,079,314,261,698,296,888,103,555,
879,941,810,140,519,067,936,393,501,385,062,481,737,961,822,684,954,030,567,
650,885,354,445,674,495,113,956,847,514,801,284,457,909,418,327,709,239,855,
367,588,676,035,459,108,647,345,921,689,269,718,372,835,816,634,573,299,247,
032,854,004,874,502,307,023,102,105,255,276,247,631,197,710,257,129,960,136,
084,306,894,411,058,898,161,273,108,997,610,842,976,421,482,331,543,533,639,
944,706,360,283,899,187,036,203,172,789,171,151,258,334,818,511,115,234,737,
456,359,997,332,024,133,616,752,244,165,677,392,695,886,591,547,397,705,168,
097,352,672,553,792,111,499,899,186,066,600,625,636,193,968,726,452,605,094,
179,240,884,131,664,149,646,751,527,246,961,829,261,827,311,055,526,982,424,
664,931,489,606,854,180,811,736,512,750,627,199,244,478,781,697,783,396,608,
441,844,717,547,077,627,772,390,594,625,366,172,530,520,818,224,664,673,443,
557,335,724,488,859,950,827,918,995,511,123,002,836,662,696,065,868,749,453,
970,051,864,172,935,000,529,149,105,889,802,877,267,396,358,457,029,172,897,
396,718,249,417,954,819,591,179,658,784,827,133,436,361,137,624,753,808,830,
669,201,772,393,435,553,209,905,497,434,700,610,392,145,288,389,866,182,066,
119,701,317,689,342,376,095,293,210,553,373,516,039,181,848,437,936,799,265,
476,826,742,197,121,142,691,189,425,564,212,282,171,068,353,693,304,370,427,
339,292,124,974,205,079,106,372,209,558,709,071,405,996,933,804,939,165,730,
854,956,244,881,564,042,535,897,196,512,239,664,787,299,625,605,285,532,885,
709,442,789,193,730,940,891,147,804,460,178,071,092,437,027,431,124,648,706,
194,878,596,576,959,814,854,695,399,684,491,789,903,740,982,967,461,949,809,
272,712,790,354,110,041,078,138,371,176,908,590,050,795,375,105,163,048,191,
922,977,585,557,729,139,694,273,629,499,153,469,437,453,949,967,160,739,869,
240,327,808,442,304,330,135,614,040,015,582,422,697,718,553,507,602,483,943,
690,348,556,926,608,752,296,143,340,576,127,979,203,888,446,834,364,007,787,
981,977,179,622,849,513,683,374,979,597,876,119,985,736,477,034,660,304,630,
762,795,507,255,775,831,086,237,219,746,587,832,659,519,763,899,605,465,288,
075,390,200,724,030,281,568,139,474,470,279,204,722,786,967,280,642,510,743,
628,234,909,801,507,042,659,279,937,122,831,506,966,741,979,207,349,563,826,
865,950,518,179,460,561,058,565,106,918,799,003,494,617,165,028,969,896,357,
490,094,332,593,745,166,283,929,169,902,065,423,737,482,185,895,924,969,059,
801,745,191,190,647,141,968,452,960,444,845,049,233,341,812,785,065,285,957,
430,089,161,643,089,992,000,621,966,729,092,097,142,687,377,977,902,678,236,
769,276,939,017,812,510,083,492,362,241,497,015,232,240,151,039,017,538,286,
569,242,036,940,786,339,327,049,198,767,575,007,105,897,924,152,214,279,440,
461,278,624,776,033,537,387,167,252,092,509,102,987,254,580,088,010,832,158,
057,335,553,206,210,077,489,054,450,493,306,098,661,055,964,491,334,721,908,
138,021,903,773,994,753,443,144,211,413,733,373,881,964,962,891,751,283,433,
388,533,260,594,008,706,486,925,849,134,926,664,852,386,046,602,384,740,294,
664,848,870,691,331,595,405,590,508,517,442,040,139,168,976,831,166,608,792,
152,609,013,831,163,213,584,809,875,695,534,436,755,686,632,433,163,007,764,
807,795,697,177,324,874,041,540,897,140,184,077,054,475,619,426,473,956,124,
589,816,312,302,836,695,984,788,305,198,632,309,821,396,919,904,230,783,945,
935,215,071,164,964,908,670,253,220,887,475,230,466,804,830,673,598,904,371,
770,074,116,442,663,056,103,814,185,132,260,709,176,583,022,234,093,810,600,
971,764,996,717,483,890,868,738,144,466,450,285,718,666,032,965,237,025,683,
920,692,187,400,986,004,806,366,525,401,194,830,103,874,355,730,094,645,629,
502,913,359,937,764,307,556,677,587,685,806,027,448,593,526,683,419,533,900,
848,790,931,207,484,886,106,894,911,126,200,420,250,250,030,154,694,350,161,
401,724,390,709,684,141,638,067,031,006,372,278,915,154,022,287,849,815,992,
214,188,835,857,743,487,038,428,345,234,266,099,353,492,527,807,869,290,691,
840,734,070,656,494,113,104,092,304,133,927,087,785,590,044,618,501,264,910,
858,257,591,260,046,648,758,653,156,209,270,077,466,652,572,976,515,747,671,
229,151,391,013,259,338,519,101,354,907,400,546,327,511,553,886,521,231,169,
114,175,071,379,264,742,816,253,641,550,221,578,895,890,939,319,438,800,817,
647,651,000,106,910,641,677,157,991,278,298,701,529,271,378,460,180,233,944,
400,273,267,666,819,322,539,353,875,258,426,598,755,441,640,219,879,938,319,
941,773,446,347,608,739,644,107,297,416,741,920,955,753,760,170,195,320,795,
106,150,753,518,207,334,016,906,434,187,927,220,619,446,953,309,412,838,824,
708,612,834,598,061,092,174,603,217,480,288,241,236,336,570,611,605,104,228,
681,351,911,617,239,534,806,752,316,288,098,784,060,830,609,436,089,577,035,
300,030,229,671,900,908,899,635,976,727,596,940,119,563,178,531,561,262,382,
418,954,754,840,086,138,307,815,415,210,582,941,215,846,035,678,917,553,970,
003,673,223,693,880,889,462,639,767,550,115,707,427,593,526,384,005,693,995,
627,224,026,312,113,009,363,690,409,056,684,008,244,941,929,667,955,817,872,
799,066,046,721,699,279,564,673,043,167,798,777,554,863,855,057,586,799,336,
739,661,097,972,298,110,924,763,369,327,988,427,217,585,329,681,231,711,682,
928,026,533,482,422,634,393,959,294,913,005,631,701,799,709,509,706,173,857,
213,899,931,645,273,027,731,220,852,413,251,870,006,294,978,693,002,543,307,
598,888,604,127,953,055,000,819,342,230,107,246,473,615,074,612,339,794,303,
874,389,686,884,221,429,807,926,862,203,932,719,805,506,899,955,244,850,053,
272,347,298,633,316,723,410,837,772,825,694,971,783,259,689,882,406,267,678,
924,534,173,068,004,438,957,307,411,931,638,016,547,250,772,627,952,275,071,
389,093,934,744,755,181,746,854,379,019,158,858,386,606,316,474,525,319,401,
446,010,419,996,490,705,014,929,475,956,295,522,309,152,082,815,909,215,081,
709,363,179,573,679,744,248,465,879,505,353,667,694,567,327,409,138,043,761,
884,134,100,552,457,415,966,156,308,009,977,954,410,877,358,317,222,283,986,
981,865,575,131,436,855,359,770,755,390,037,191,133,773,379,450,788,911,775,
922,159,852,538,998,297,289,304,815,289,859,192,386,288,014,814,027,619,480,
142,968,788,551,397,163,877,810,093,999,132,596,313,659,253,627,524,130,381,
066,617,972,006,596,360,889,633,235,457,487,987,065,961,223,767,248,848,416,
317,124,077,178,992,814,949,474,110,135,925,185,898,234,237,076,235,476,233,
648,149,597,640,453,219,259,846,940,621,826,832,622,087,065,786,922,894,565,
359,397,711,335,960,663,200,330,503,487,055,122,769,154,879,271,384,907,874,
479,803,592,005,278,860,153,902,572,264,647,907,195,179,480,763,054,029,588,
980,382,367,322,962,681,583,223,269,830,543,716,680,439,718,637,061,785,565,
812,674,996,826,719,187,700,028,293,022,103,530,052,929,142,215,238,382,912,
325,578,132,630,419,170,491,947,800,628,183,947,277,153,439,250,307,449,678,
574,114,033,442,471,945,923,077,023,111,481,985,889,818,982,409,558,556,519,
563,783,676,685,051,834,369,920,130,235,831,152,622,218,970,128,031,864,985,
433,847,094,042,798,331,506,079,018,447,564,752,368,785,362,195,471,829,252,
683,100,061,749,381,697,123,750,490,320,845,861,251,030,019,917,640,350,179,
695,627,438,447,903,381,405,629,012,119,422,763,589,247,158,143,809,936,508,
408,629,687,863,556,989,513,274,125,893,241,809,316,818,692,308,909,223,851,
200,360,379,552,509,989,607,748,286,302,611,549,726,719,779,990,130,528,433,
351,119,916,182,013,846,664,870,343,436,807,672,382,428,947,260,009,534,304,
577,810,488,996,704,018,319,484,679,947,974,605,718,399,541,310,109,007,783,
662,392,922,044,631,813,123,466,378,186,536,465,447,716,360,293,889,605,719,
148,358,551,845,753,015,432,848,298,435,599,469,914,099,605,864,816,825,260,
566,599,702,200,971,696,778,896,962,952,183,283,921,962,305,619,004,322,004,
983,760,271,956,610,236,259,209,634,043,507,051,036,990,385,236,695,872,455,
371,225,420,425,055,548,739,834,101,903,093,238,405,153,091,796,088,313,401,
910,381,347,619,851,527,164,591,505,440,906,544,040,625,214,454,444,327,890,
119,424,050,511,073,649,184,019,715,628,131,484,149,254,926,971,735,186,671,
357,735,840,811,022,649,104,947,166,388,191,798,904,089,204,973,924,451,426,
668,362,830,779,572,975,282,177,185,096,710,752,589,107,343,345,959,595,779,
809,730,456,744,849,786,444,736,733,515,705,892,575,713,559,791,186,296,808,
243,518,241,184,336,017,172,929,562,095,613,848,113,119,340,105,986,116,236,
401,976,224,088,403,697,302,784,999,937,237,864,323,592,857,953,030,071,710,
536,753,230,956,971,315,128,659,075,115,375,163,430,719,156,444,489,159,742,
696,182,621,438,529,654,820,186,930,561,774,933,042,985,724,761,812,076,618,
914,460,971,923,774,938,789,275,835,730,144,330,406,265,477,341,913,592,250,
871,845,354,410,989,930,647,830,418,388,886,764,191,115,398,532,777,015,963,
180,005,584,869,917,380,046,559,432,678,449,225,807,755,918,266,618,546,187,
018,384,719,786,318,784,825,959,798,916,801,002,685,101,981,959,984,273,233,
915,837,404,562,281,130,450,618,436,970,541,805,698,766,737,885,421,030,241,
454,332,166,402,953,644,315,342,027,239,674,719,717,994,119,338,767,636,326,
068,179,982,755,286,222,369,207,369,215,142,442,576,845,627,828,082,625,010,
555,649,487,084,828,902,834,487,043,638,761,122,287,821,710,961,595,975,406,
233,129,651,819,488,258,452,195,765,528,542,595,447,581,015,866,909,795,985,
485,884,238,377,974,873,195,053,694,922,984,910,814,845,476,589,789,825,997,
719,372,256,877,675,707,904,011,860,870,602,443,264,257,616,842,200,472,044,
974,499,687,763,935,083,100,184,033,011,821,335,031,139,060,534,384,393,876,
581,701,513,169,033,475,336,900,499,670,065,924,458,804,095,052,997,479,180,
729,953,258,857,253,338,733,855,184,394,589,543,270,293,002,751,495,825,576,
607,468,568,051,542,421,335,794,425,377,996,641,543,911,308,692,800,390,069,
444,725,821,364,667,504,616,865,445,405,374,015,971,338,760,818,031,913,837,
548,983,661,237,507,948,383,390,996,895,455,333,189,753,727,565,117,774,231,
668,040,176,920,891,193,229,958,561,095,874,696,264,088,319,853,420,818,408,
824,696,291,018,368,455,335,272,126,379,567,730,686,840,275,342,819,569,460,
376,810,603,043,953,692,305,100,524,630,264,352,169,462,678,435,392,255,375,
619,485,503,510,072,055,934,991,567,828,082,191,289,911,783,452,629,284,785,
106,822,776,887,302,757,419,752,708,097,492,811,467,689,829,860,195,859,159,
935,708,189,116,150,842,548,497,555,648,584,087,978,519,880,385,854,674,613,
384,549,013,547,393,731,194,766,944,038,204,809,976,218,608,983,421,408,868,
245,289,883,634,427,133,181,206,513,293,648,398,815,490,859,719,676,222,881,
395,681,376,098,211,389,122,078,179,891,669,402,933,425,363,648,425,012,961,
498,204,154,871,944,444,976,442,354,756,742,652,068,531,156,362,839,148,395,
175,826,545,920,886,644,719,814,667,678,651,381,573,299,920,677,440,231,134,
768,542,178,964,922,551,366,863,778,074,990,182,313,713,859,229,529,348,945,
584,310,119,643,902,456,280,325,702,221,910,407,319,198,153,334,900,559,574,
265,001,091,700,855,047,575,501,941,878,562,925,691,983,120,881,023,099,203,
839,304,047,432,032,986,056,575,613,759,294,464,265,950,754,355,037,276,539,
930,338,233,458,043,552,135,784,824,235,268,030,083,335,529,208,650,943,960,
110,244,329,730,591,184,485,024,734,346,711,622,899,799,081,705,254,822,838,
199,915,346,072,584,870,724,935,883,069,059,800,550,619,239,162,861,451,556,
392,050,810,846,720,596,456,151,400,449,269,900,386,326,663,450,137,800,489,
813,109,844,672,238,162,169,691,677,724,260,723,189,984,816,964,935,028,565,
738,106,457,521,476,734,564,981,635,336,070,138,996,968,159,166,339,214,205,
989,742,966,909,119,208,261,009,527,020,421,519,966,028,600,735,072,674,695,
412,563,676,122,044,917,697,536,518,945,668,508,685,544,504,913,256,263,969,
088,817,062,612,074,551,225,407,605,517,908,290,386,138,006,198,991,091,360,
574,478,872,453,348,300,708,576,970,916,365,958,489,799,319,496,291,546,705,
754,767,929,291,849,956,408,227,390,149,599,753,924,581,225,302,665,688,264,
417,756,381,612,833,235,422,834,988,981,995,953,139,125,666,084,678,464,919,
515,754,327,222,914,013,359,084,780,088,807,949,681,565,787,878,315,577,808,
918,969,074,117,300,171,021,824,422,716,187,961,835,044,090,475,956,548,938,
233,981,565,181,476,753,749,514,041,780,828,451,750,667,770,247,640,473,748,
653,574,525,974,531,946,746,064,527,713,614,057,021,014,782,508,954,037,216,
984,827,381,265,637,213,244,620,882,444,981,904,770,382,566,484,824,684,893,
888,684,772,810,130,899,321,621,303,254,080,660,060,693,085,232,542,803,301,
138,264,696,815,238,486,775,046,577,998,165,463,425,249,421,093,567,420,315,
333,644,135,166,784,204,221,692,465,572,998,745,650,956,919,695,665,441,434,
332,587,332,973,319,534,828,926,914,602,011,940,110,191,620,531,316,807,503,
911,946,300,212,452,643,515,763,618,685,171,595,992,045,620,702,035,305,812,
579,720,221,250,463,618,438,542,319,047,289,704,762,124,873,682,638,812,376,
466,043,348,934,408,370,353,831,649,663,260,479,782,093,427,965,943,838,695,
049,495,831,715,430,344,255,451,593,981,921,096,596,550,067,863,994,402,754,
743,931,840,324,874,019,580,751,761,666,348,335,995,740,114,235,280,161,403,
591,185,286,418,050,410,700,035,637,668,585,506,935,016,618,163,216,846,735,
394,823,015,842,996,923,285,207,196,720,364,268,274,788,600,863,523,240,206,
165,509,327,296,155,215,151,414,450,532,197,845,114,420,402,660,834,522,716,
368,949,141,795,329,106,572,319,619,697,867,697,030,050,416,003,653,094,612,
813,897,471,517,733,305,432,149,687,198,227,720,491,345,592,597,313,503,434,
209,206,441,655,780,823,244,224,987,649,939,800,253,402,840,616,423,629,531,
986,108,580,278,325,013,962,853,991,309,232,384,442,253,935,485,389,577,777,
649,414,202,693,109,025,157,326,799,926,736,028,611,490,153,679,881,374,533,
490,421,252,334,043,371,249,505,165,474,031,590,566,953,409,130,624,350,425,
580,442,955,005,512,365,832,017,031,502,015,377,503,837,164,620,156,387,660,
203,418,326,060,414,313,155,524,507,998,899,142,406,023,287,935,993,696,194,
748,244,282,447,502,574,758,322,359,630,714,757,918,540,587,039,331,734,841,
384,845,329,210,001,487,922,265,822,574,316,342,235,323,381,989,165,068,751,
138,664,628,677,329,284,895,187,469,489,306,764,158,164,442,675,242,102,529,
779,936,321,657,361,058,496,217,356,491,134,283,443,605,284,361,358,967,259,
743,770,084,091,786,704,056,291,487,895,446,100,508,068,960,919,816,517,265,
201,076,774,272,990,166,451,077,828,668,065,211,381,946,249,328,541,078,185,
785,597,025,401,197,780,365,943,487,796,745,341,863,734,589,223,043,221,341,
602,861,293,367,326,153,404,590,963,493,239,837,255,244,929,583,779,584,643,
188,997,958,194,068,396,398,287,233,227,826,739,643,092,862,398,496,137,176,
782,525,249,124,558,564,550,258,699,607,508,311,695,140,466,417,259,057,618,
711,856,228,615,320,854,770,014,718,505,243,460,374,636,909,268,222,763,370,
964,072,845,913,619,969,439,494,300,462,563,311,775,947,007,954,812,744,481,
942,720,959,272,506,246,766,822,996,777,085,891,858,421,628,457,743,530,876,
540,969,990,290,556,599,315,585,235,035,119,797,167,968,005,711,691,910,639,
892,538,657,677,267,796,223,933,897,576,992,075,313,301,289,123,120,149,636,
004,786,095,139,971,966,638,717,296,783,255,273,875,617,504,529,926,465,787,
296,589,705,614,678,880,364,510,840,466,645,951,853,422,589,743,555,048,514,
939,484,462,352,828,509,595,943,152,148,014,260,391,912,747,871,402,093,104,
503,561,074,782,075,575,158,029,551,303,026,076,467,708,784,273,888,720,872,
706,327,349,051,503,947,897,146,065,205,476,748,646,040,728,004,962,857,600,
517,842,648,148,084,477,623,974,646,423,099,933,355,280,453,852,706,349,036,
881,414,624,558,688,296,066,561,891,029,964,630,796,242,770,682,993,580,238,
688,460,950,427,551,281,034,712,980,215,000,266,203,861,932,073,550,664,579,
643,880,014,271,540,917,998,265,596,790,482,725,447,017,506,153,098,583,871,
600,321,051,290,404,746,463,471,364,745,576,142,292,068,895,403,329,109,699,
357,758,089,133,172,992,423,171,912,228,368,619,093,611,544,443,548,668,781,
538,480,724,063,174,478,320,987,554,358,484,027,704,316,229,680,165,388,332,
492,234,589,339,320,845,774,172,760,445,704,153,509,209,535,444,336,403,943,
731,529,521,240,004,362,406,243,275,772,832,418,401,219,883,903,532,078,118,
762,496,502,529,595,743,819,731,738,352,924,505,530,290,555,735,884,093,040,
707,935,329,898,602,437,145,368,057,081,586,163,122,795,649,816,370,724,137,
306,036,509,437,471,683,058,134,626,599,749,724,686,997,595,029,651,060,251,
488,636,053,700,086,264,290,170,906,151,380,433,451,103,500,739,174,475,414,
689,658,057,268,826,378,458,084,836,954,552,496,728,488,571,218,037,043,548,
014,143,702,635,580,201,739,992,853,454,861,893,170,409,986,011,835,452,021,
795,000,354,927,763,444,314,172,570,249,108,202,929,379,650,260,931,445,712,
377,113,037,773,449,136,064,118,216,089,043,297,434,806,868,910,629,878,116,
611,083,357,110,806,792,337,673,168,974,451,648,376,609,552,178,212,280,074,
573,967,517,938,663,026,078,420,774,386,795,064,394,321,071,830,063,445,113,
038,885,390,443,037,510,942,540,811,370,226,552,274,795,222,966,924,196,946,
097,846,019,043,354,690,540,473,009,632,134,777,161,499,796,015,891,244,292,
321,565,040,984,407,551,945,237,902,144,381,330,590,496,883,243,290,642,473,
354,239,984,363,508,360,609,145,860,016,086,140,209,095,837,684,142,982,565,
604,719,329,198,790,130,571,263,521,370,412,367,410,382,086,193,704,795,418,
763,363,079,855,305,340,982,554,649,078,136,488,988,248,533,463,597,686,478,
713,589,023,257,378,043,246,049,836,277,471,276,264,789,453,835,853,155,013,
346,361,677,487,509,276,106,468,437,435,422,919,604,649,666,641,338,508,597,
471,628,462,659,981,141,030,546,813,228,995,364,946,491,974,451,068,687,040,
030,077,344,092,470,771,335,574,747,276,669,089,060,207,941,395,629,514,834,
625,137,744,261,297,778,881,044,525,129,900,584,038,792,190,653,903,256,380,
549,366,629,815,965,789,846,256,369,368,899,876,448,384,058,824,095,388,437,
807,596,450,030,063,250,649,161,215,179,858,429,741,701,311,414,549,099,198,
336,332,055,126,359,055,795,324,347,020,726,729,407,720,665,830,868,187,339,
143,270,249,271,053,927,914,379,693,624,974,767,310,288,447,271,867,471,245,
678,881,368,065,149,832,881,569,771,777,382,940,218,240,847,473,277,273,791,
750,654,831,357,477,130,015,323,630,512,648,751,938,130,992,308,188,777,974,
674,462,547,001,434,426,631,339,511,463,384,815,834,548,578,539,414,394,770,
811,465,386,845,971,341,715,666,668,498,362,970,216,896,538,743,103,532,717,
772,422,162,179,754,122,592,199,306,378,260,772,493,107,258,307,852,002,236,
277,562,448,740,428,636,932,081,272,513,394,253,748,533,698,553,818,503,341,
095,691,154,557,763,191,938,799,066,313,013,067,723,584,622,596,583,215,644,
059,479,729,350,537,589,688,933,406,435,471,209,225,783,312,004,854,426,395,
534,085,923,505,196,512,139,814,685,672,739,656,098,601,563,771,428,156,817,
814,383,575,864,159,078,134,107,346,640,622,052,916,861,657,770,017,634,608,
263,268,123,592,243,987,775,723,791,084,090,016,250,059,851,146,363,775,797,
545,474,748,291,903,774,754,651,789,702,155,065,323,545,875,053,100,809,391,
682,503,056,444,672,116,274,145,889,437,715,711,221,696,165,485,690,722,004,
953,650,205,870,780,473,223,260,550,745,191,389,190,470,225,176,820,405,326,
428,553,793,990,680,539,718,164,825,558,705,969,101,176,064,207,567,806,117,
303,410,868,871,784,895,011,044,517,425,227,411,850,629,621,135,903,660,751,
782,596,430,767,174,173,613,233,230,806,625,510,170,196,588,688,305,069,590,
273,736,526,102,877,022,740,106,532,759,350,546,337,356,681,126,341,859,417,
466,127,632,265,539,333,879,356,326,936,237,451,033,028,889,433,443,059,266,
165,801,684,759,768,947,062,420,596,892,237,158,172,972,723,726,038,583,996,
825,094,702,246,923,936,163,952,888,508,198,973,934,709,232,793,922,300,306,
944,376,760,331,696,196,209,700,887,358,379,999,667,774,910,428,840,403,725,
971,128,112,892,236,200,688,426,671,382,895,000,898,904,275,480,933,059,361,
799,263,151,223,404,289,957,263,491,542,396,020,534,490,106,096,843,812,690,
229,251,914,735,444,365,839,987,779,397,924,555,554,349,861,093,909,781,410,
532,786,159,822,357,581,106,142,990,523,429,463,475,162,445,905,001,918,095,
020,444,265,592,614,251,437,127,455,058,344,990,518,054,432,672,120,010,485,
179,879,602,529,969,429,117,184,471,310,713,982,463,585,968,081,164,386,537,
344,996,979,124,019,663,895,694,325,015,576,433,249,178,347,429,995,406,415,
643,496,338,264,027,039,170,372,883,411,165,470,622,683,436,455,387,456,853,
600,906,985,531,240,770,720,656,510,616,681,512,686,801,265,491,159,181,052,
787,735,077,133,028,109,959,199,562,767,525,439,555,778,160,095,314,363,176,
102,966,525,913,454,795,301,513,931,909,409,725,371,064,173,637,772,472,940,
077,609,175,318,401,027,016,546,823,306,973,756,927,249,457,496,329,476,491,
839,453,530,820,175,743,785,321,329,344,517,752,068,515,154,353,758,013,887,
475,401,045,776,656,626,448,988,000,754,838,170,140,674,558,880,693,890,678,
497,571,346,923,775,651,366,028,718,570,678,783,983,432,353,529,501,616,140,
276,177,517,494,439,815,628,804,499,400,493,927,941,487,335,435,755,590,880,
218,057,073,786,365,046,795,062,216,599,947,966,235,830,734,027,921,681,786,
413,849,310,337,678,791,303,653,928,712,375,030,438,691,017,683,623,458,710,
411,988,498,792,256,851,257,353,197,421,131,842,005,094,645,066,045,590,862,
927,399,726,325,167,657,687,299,400,024,521,492,895,782,477,167,990,788,914,
739,916,990,727,727,615,983,885,206,698,467,713,385,203,550,153,886,115,063,
515,837,208,056,744,722,334,905,437,009,438,271,802,742,784,536,956,741,365,
172,472,853,206,028,706,382,530,868,807,091,579,245,260,669,584,275,872,976,
993,606,245,900,778,659,979,788,682,689,886,958,391,979,289,344,644,494,348,
405,716,656,429,599,566,276,397,051,945,736,757,319,312,296,236,782,967,719,
741,006,183,205,454,517,125,507,323,333,178,668,025,704,499,791,276,400,192,
625,438,238,273,403,045,838,222,377,872,303,715,338,295,006,074,442,659,718,
242,267,406,070,457,971,907,375,834,292,335,985,588,673,860,951,207,918,224,
060,046,138,715,079,852,275,262,866,485,994,103,755,817,674,699,073,175,871,
213,219,792,779,860,565,292,831,779,197,304,470,988,756,195,957,719,682,685,
344,270,688,646,957,120,744,065,313,306,479,842,029,314,153,637,216,132,790,
016,808,741,105,696,047,986,031,576,925,437,134,617,061,483,592,089,215,463,
023,247,047,428,428,313,802,230,981,743,109,427,441,381,992,878,411,892,212,
561,427,716,490,695,228,413,424,560,024,108,610,669,894,215,096,403,155,092,
695,923,598,035,364,271,497,990,925,457,862,911,595,164,056,239,407,994,182,
743,340,336,202,125,442,437,720,641,329,325,433,382,768,304,843,386,551,244,
337,417,122,447,160,647,152,440,088,904,831,400,605,286,774,853,845,172,265,
671,488,218,072,557,972,377,180,730,042,632,731,383,284,287,171,093,924,916,
761,852,580,677,804,207,538,310,659,273,778,238,905,103,181,836,046,681,935,
516,038,691,663,361,886,167,210,897,934,497,928,605,952,592,985,110,444,436,
203,524,948,471,932,285,979,355,140,440,544,312,387,352,557,795,169,639,250,
200,307,861,045,263,741,030,049,922,065,410,833,090,690,443,208,311,473,694,
123,059,587,611,701,468,477,912,393,335,478,151,883,577,957,528,039,817,353,
865,236,085,317,030,052,687,520,025,579,668,308,674,610,222,773,991,901,596,
971,094,567,512,502,256,091,144,809,669,723,053,642,588,646,507,304,924,368,
519,044,716,694,415,153,222,519,643,106,145,545,024,282,815,246,643,140,921,
931,669,623,710,606,697,764,483,857,560,205,070,710,381,591,045,899,901,575,
427,293,581,534,404,305,249,464,365,627,653,915,688,242,016,608,593,472,596,
404,557,972,873,757,938,693,267,800,257,262,656,676,862,493,602,856,992,218,
255,307,387,510,966,716,325,010,429,145,889,377,179,514,689,024,341,372,320,
741,539,097,336,082,616,536,697,724,173,544,475,163,003,499,656,046,156,250,
964,723,026,023,891,533,951,017,140,537,761,921,029,833,282,788,096,157,787,
930,575,654,960,760,093,298,251,450,642,259,382,384,147,861,979,433,623,007,
879,129,376,968,118,270,097,111,704,056,005,057,070,809,432,579,233,943,149,
390,911,163,682,710,067,829,661,233,311,933,518,977,324,196,713,581,522,234,
177,138,893,247,991,808,805,493,586,376,461,172,714,635,946,277,811,624,812,
003,317,448,590,554,493,611,736,177,795,837,923,079,245,004,570,668,047,353,
263,834,935,920,703,489,477,169,908,773,034,402,328,020,737,251,890,817,104,
694,644,289,780,761,383,686,816,156,214,009,589,874,382,728,549,952,283,860,
429,457,533,552,838,482,412,063,665,895,103,988,827,024,350,469,066,583,736,
387,518,963,741,272,085,076,455,765,545,592,767,308,832,131,268,739,236,020,
039,363,449,617,499,232,982,227,801,601,804,652,131,834,088,943,065,947,720,
708,088,744,268,885,272,257,370,291,272,664,278,425,295,058,840,178,564,382,
237,402,739,885,297,571,165,225,732,273,112,095,265,966,573,820,769,365,284,
481,528,764,974,202,710,544,805,439,536,135,696,638,154,921,211,522,802,016,
213,328,666,959,171,224,845,933,676,633,414,954,280,765,815,906,402,456,239,
394,796,247,555,457,562,889,568,136,454,315,946,969,608,246,774,959,607,983,
450,735,595,582,970,502,489,705,463,154,013,893,095,550,600,261,283,541,732,
023,281,718,948,290,600,483,661,192,054,540,884,230,955,436,988,702,681,053,
816,574,297,570,579,132,837,456,166,432,443,102,448,958,836,829,790,248,281,
958,979,534,399,702,024,826,800,248,902,919,914,722,875,291,514,510,449,012,
401,594,274,068,206,321,729,261,290,412,265,112,423,171,250,590,000,022,362,
906,208,877,389,661,045,842,423,647,442,050,222,419,589,952,397,150,297,551,
311,233,435,504,915,198,957,525,129,453,792,084,380,440,263,741,196,945,200,
451,217,537,549,143,673,464,264,485,973,004,674,510,930,986,863,590,087,530,
193,359,193,993,224,109,636,257,888,370,018,694,809,787,380,632,860,253,130,
209,730,988,554,744,510,940,772,307,157,164,974,082,862,102,503,750,376,680,
715,734,969,107,071,671,387,472,818,685,944,095,842,322,632,646,597,123,207,
433,687,375,001,771,589,464,084,250,220,050,504,795,591,317,374,612,297,683,
518,635,173,037,436,162,915,109,766,927,827,889,707,765,808,533,550,631,384,
115,702,097,198,766,833,974,009,340,243,135,869,816,625,664,767,515,949,553,
449,600,976,338,371,520,095,650,721,343,978,460,262,989,939,841,844,642,488,
855,641,362,586,856,739,694,386,000,340,467,542,710,793,917,015,494,739,680,
018,504,906,811,507,368,168,391,373,360,704,955,533,617,837,999,472,640,717,
831,215,068,803,462,829,180,544,491,891,886,691,272,683,852,736,673,895,007,
440,587,997,163,286,173,546,319,532,419,108,529,616,414,468,752,540,068,234,
281,930,799,397,946,467,498,980,669,928,118,544,859,987,844,407,002,779,896,
448,090,221,965,838,531,432,409,696,372,588,602,644,942,949,531,289,649,904,
531,893,046,678,098,841,193,865,817,830,168,802,700,585,207,146,169,259,061,
517,482,666,858,712,143,462,024,656,469,434,626,827,786,396,055,875,202,873,
685,107,777,607,282,073,036,913,062,473,723,026,648,643,868,256,276,660,428,
486,156,197,556,966,505,476,426,576,862,425,076,198,251,424,540,439,369,223,
642,968,595,074,819,490,180,118,626,127,003,406,488,285,859,348,831,210,166,
887,271,138,886,869,874,679,564,064,548,792,642,407,327,502,050,909,310,797,
246,984,179,093,557,587,722,049,399,978,328,846,020,979,562,746,034,368,910,
796,225,616,054,390,085,983,941,371,906,934,243,894,056,368,003,368,091,029,
211,680,348,999,449,635,953,628,771,008,520,190,105,835,410,534,739,595,388,
152,390,404,721,910,426,565,427,506,939,002,208,442,556,036,884,145,980,601,
830,052,491,724,761,616,084,309,950,901,220,815,542,717,479,829,539,383,990,
524,244,676,039,358,695,315,868,554,185,995,641,283,304,833,529,520,706,957,
389,370,737,541,088,774,214,501,406,878,016,965,978,066,663,282,993,179,014,
997,440,761,097,074,485,546,408,564,979,131,344,463,958,493,848,611,679,179,
048,504,433,502,770,339,570,598,138,172,696,855,046,909,553,086,710,719,803,
528,166,995,265,376,621,261,755,359,026,774,841,946,220,352,014,584,430,845,
632,620,631,476,589,854,386,492,540,132,319,148,015,849,465,692,204,704,331,
577,764,644,224,117,134,052,977,774,406,770,565,704,758,932,517,200,923,042,
783,438,579,305,885,257,913,741,211,490,236,452,529,966,030,415,227,064,863,
583,551,274,477,453,092,126,991,902,291,706,028,568,293,813,332,457,729,061,
619,363,035,622,206,919,859,515,455,689,602,604,341,233,909,030,476,783,947,
742,268,050,649,499,541,124,218,517,238,561,097,021,478,988,479,834,205,502,
403,056,869,845,027,099,845,384,974,357,107,271,025,382,968,130,671,737,701,
149,564,952,328,612,377,072,708,825,969,570,336,694,374,329,983,365,501,740,
770,819,811,060,129,086,450,372,952,832,270,102,239,039,095,406,935,070,193,
289,278,774,501,020,636,660,206,325,946,238,678,766,301,232,294,178,051,218,
241,830,008,733,591,877,167,382,841,010,410,110,821,722,085,587,348,865,957,
911,076,563,779,583,242,012,578,355,974,068,798,350,672,282,817,132,974,512,
896,432,825,191,657,577,951,770,347,814,269,824,471,048,995,823,813,307,081,
470,624,371,736,029,995,314,999,670,967,304,628,374,340,916,881,805,905,789,
221,287,280,635,474,412,416,297,605,699,488,369,378,793,051,076,406,799,861,
426,465,614,383,749,636,658,774,000,154,361,068,972,702,376,434,086,445,365,
661,000,125,839,045,307,333,062,516,489,345,855,821,315,966,055,077,736,007,
364,937,596,850,001,598,048,659,887,463,177,550,168,977,713,172,869,887,982,
286,112,124,062,992,288,787,299,809,246,998,269,770,599,657,432,392,856,238,
332,838,136,999,567,074,613,277,885,077,871,964,561,726,236,419,365,248,029,
296,580,612,846,205,537,312,027,029,062,338,651,025,260,713,832,961,115,380,
841,120,587,930,019,573,397,521,124,868,299,082,111,731,559,940,034,819,413,
276,196,069,062,502,787,808,415,879,265,268,844,954,425,417,333,662,483,035,
888,246,377,521,336,626,331,112,323,864,176,824,753,949,341,001,957,070,336,
427,114,262,895,835,129,383,074,749,511,053,727,400,298,369,259,036,602,698,
441,814,533,977,335,633,744,605,243,192,702,102,911,281,547,522,553,122,083,
723,654,248,648,345,109,509,159,448,007,083,742,999,888,861,184,019,222,970,
951,326,793,046,469,553,053,674,177,982,015,286,563,022,349,187,410,639,158,
830,605,107,863,285,311,617,928,021,517,025,790,235,559,694,346,538,830,734,
824,487,138,321,391,986,640,125,391,986,195,293,073,573,367,654,827,957,212,
643,626,880,818,600,002,082,371,665,229,210,123,115,406,273,173,710,749,213,
115,794,656,900,591,607,900,572,042,758,502,116,197,284,173,009,321,555,473,
350,418,718,491,152,612,374,883,340,324,688,687,667,324,669,975,996,764,443,
650,115,671,790,711,115,673,816,032,145,282,238,334,151,874,171,297,391,081,
881,352,537,503,427,548,098,795,424,813,884,119,639,821,040,097,731,252,748,
618,671,288,221,600,042,822,861,469,806,532,935,232,864,321,879,558,219,731,
781,714,134,144,082,163,582,360,387,147,443,884,826,640,743,600,593,219,897,
746,498,392,292,590,399,287,733,904,636,820,808,391,912,726,211,095,053,220,
906,855,849,167,404,119,662,009,072,594,347,162,170,170,498,279,655,278,775,
985,336,400,360,753,399,413,289,453,245,720,694,428,982,100,638,974,809,134,
167,612,357,469,684,495,395,240,882,073,406,730,461,079,116,384,310,343,607,
562,922,185,384,652,767,562,170,819,846,936,998,353,905,220,340,279,937,612,
145,053,196,751,104,161,002,363,796,302,511,733,269,121,108,576,456,815,560,
563,148,899,479,837,921,789,910,847,629,302,103,871,695,700,014,152,055,673,
124,693,067,955,237,956,691,192,334,137,338,921,185,272,892,394,804,749,296,
624,827,766,686,683,745,507,666,618,393,827,682,815,386,672,369,214,949,687,
369,057,841,456,753,697,479,518,500,051,963,634,893,859,767,468,364,131,801,
789,016,529,450,080,878,918,245,918,944,883,882,765,314,226,204,452,377,107,
149,828,422,632,585,146,757,628,222,041,888,342,398,672,983,567,729,667,374,
455,343,281,498,068,916,206,767,107,087,504,653,002,185,787,357,678,601,047,
882,938,813,402,788,454,138,517,148,438,655,550,481,956,339,348,604,259,321,
503,023,950,132,232,313,204,194,271,563,902,087,774,358,437,724,280,143,541,
902,674,719,521,415,840,901,471,847,884,302,464,069,656,978,289,908,199,420,
159,854,754,315,505,656,224,852,587,221,506,471,483,612,771,688,784,696,502,
152,494,085,102,081,838,068,725,225,408,039,455,747,254,386,797,340,844,720,
614,447,633,003,608,603,145,672,839,023,435,131,157,127,435,842,928,543,669,
690,712,501,969,700,383,655,086,497,353,448,168,625,787,023,486,853,171,688,
456,386,585,399,223,774,142,883,559,985,283,869,425,063,336,342,443,752,151,
122,989,886,643,616,178,343,044,665,644,296,021,711,399,792,150,361,927,476,
917,238,231,789,639,689,319,484,310,763,884,107,238,649,358,296,391,435,426,
756,957,802,110,251,593,938,323,825,370,525,488,491,800,517,566,712,545,579,
678,878,816,706,563,755,358,649,314,557,859,844,292,923,065,964,080,725,755,
681,404,959,489,228,551,759,463,597,945,385,531,695,457,978,636,672,786,633,
301,967,803,837,256,467,199,676,330,449,951,744,741,415,706,105,791,254,999,
095,867,101,623,155,301,333,862,423,196,400,680,191,585,849,311,316,820,571,
766,876,286,068,290,198,630,061,752,099,776,292,289,682,943,351,728,541,557,
280,969,214,888,652,509,665,449,271,401,141,351,896,254,373,005,797,735,551,
809,640,691,404,044,511,962,998,373,282,527,384,650,594,281,650,148,904,774,
968,702,178,964,534,855,985,946,058,032,435,313,082,352,660,894,259,753,496,
347,685,826,707,627,525,725,604,427,004,463,192,084,965,472,333,755,824,222,
819,549,609,843,016,476,314,888,897,093,786,544,586,788,221,026,779,898,837,
113,028,153,744,140,347,855,788,271,939,193,430,588,583,416,365,039,966,261,
420,110,897,122,494,078,032,432,947,045,457,078,082,840,760,729,453,644,181,
186,974,322,590,005,786,296,230,802,312,177,314,766,984,109,510,639,881,008,
171,066,584,229,211,032,465,157,063,323,469,548,950,833,835,319,238,999,235,
384,283,893,826,120,349,551,493,886,693,149,262,742,499,747,553,203,935,992,
797,232,310,460,673,120,420,218,284,861,920,170,940,492,407,622,572,088,482,
242,512,391,873,829,594,390,622,249,557,203,902,106,957,915,525,576,803,325,
961,768,270,694,147,586,566,957,619,745,309,537,603,933,029,505,654,520,640,
235,759,141,777,196,554,047,470,010,811,745,914,535,506,255,611,712,789,162,
914,256,303,070,397,785,722,857,322,323,284,448,132,386,921,139,257,911,380,
386,141,598,827,283,939,705,086,727,489,509,163,183,113,743,730,454,958,096,
643,722,941,970,042,061,111,382,822,710,774,699,953,583,907,420,758,467,956,
786,178,564,031,515,151,600,858,222,769,663,006,120,287,846,149,743,988,776,
280,411,576,618,919,510,892,671,711,830,599,532,417,477,581,761,519,121,626,
096,233,630,230,568,293,044,915,483,715,965,882,066,221,108,838,046,131,405,
788,308,934,541,152,242,529,901,086,163,170,874,550,234,648,146,637,826,549,
395,383,692,355,586,293,653,681,630,301,748,392,762,665,762,316,700,414,995,
776,542,844,050,585,236,360,429,527,084,108,920,734,804,608,555,051,335,181,
682,667,454,176,040,515,395,322,585,113,456,039,466,883,588,171,717,096,170,
257,223,079,985,595,726,731,317,243,985,469,889,970,985,725,336,277,335,022,
298,753,927,061,174,081,591,291,327,299,551,041,104,113,926,765,328,176,259,
785,563,166,533,412,662,957,753,281,485,448,674,400,167,893,483,595,324,149,
092,730,626,720,552,784,554,119,395,706,039,662,394,001,859,991,720,996,734,
823,961,985,998,217,587,395,799,191,163,891,803,525,122,700,364,794,746,606,
839,899,217,174,940,609,105,717,136,299,247,381,672,580,754,591,882,372,410,
254,646,169,337,810,181,303,602,591,245,269,222,563,913,572,146,483,377,518,
082,607,608,924,908,741,660,748,099,094,802,972,745,209,102,745,579,265,168,
893,926,942,221,710,991,582,693,983,698,123,081,035,812,826,869,362,116,080,
649,949,378,886,341,693,509,016,815,164,876,909,679,918,478,158,786,837,549,
935,734,499,831,353,830,767,532,097,428,773,591,571,358,868,927,969,151,568,
948,144,580,984,316,400,229,824,737,135,331,914,081,487,900,615,122,752,286,
191,765,010,927,296,375,731,263,657,911,433,951,760,381,582,653,756,018,255,
824,528,311,948,851,134,731,252,269,607,843,994,731,888,346,032,370,362,743,
563,910,686,529,930,528,323,338,900,299,281,726,498,588,936,469,792,846,503,
027,624,280,809,879,731,941,053,867,907,520,131,272,812,618,417,094,230,222,
922,059,520,541,423,379,435,702,876,343,659,328,706,885,308,878,557,918,690,
110,949,239,671,769,996,128,614,779,218,718,002,647,386,617,077,594,015,929,
478,061,919,645,861,488,189,581,851,895,653,224,542,225,568,579,816,478,972,
811,233,042,495,903,687,193,162,799,327,343,950,352,942,707,621,100,066,583,
029,929,470,820,970,018,395,613,469,143,885,850,727,752,984,905,716,393,569,
777,910,189,816,139,757,627,596,821,695,580,627,871,202,120,652,729,647,349,
464,485,142,129,573,473,405,026,562,767,983,600,733,713,003,811,378,708,796,
486,991,537,104,833,730,673,555,292,853,540,651,792,959,983,145,081,989,272,
291,031,066,962,022,397,090,692,550,208,178,064,266,247,424,456,366,503,980,
659,981,934,410,035,670,866,359,154,346,543,021,323,825,240,069,780,503,702,
555,881,443,800,693,749,396,342,451,295,737,819,280,218,166,149,250,986,992,
938,012,630,722,522,902,599,668,809,684,965,484,085,472,588,506,611,142,640,
471,196,452,414,287,736,919,946,794,101,788,169,937,103,582,707,617,808,459,
841,785,475,658,465,992,012,955,959,944,257,711,658,863,559,861,643,536,464,
906,490,142,786,196,944,013,032,122,024,673,425,385,179,353,377,113,874,344,
305,219,274,778,417,304,871,132,849,619,311,900,715,965,424,007,370,502,739,
675,545,335,433,922,930,893,517,722,632,887,705,149,090,288,098,471,341,248,
002,049,329,162,368,523,227,978,804,987,780,318,177,558,765,885,974,433,044,
649,842,976,551,949,425,830,973,375,244,907,479,538,687,234,930,325,018,983,
831,954,000,269,150,869,267,884,242,102,338,442,903,557,581,240,394,509,524,
760,267,431,324,020,612,042,806,947,934,518,815,314,210,729,760,983,564,751,
159,536,663,787,497,862,168,070,235,781,673,133,514,356,567,526,789,426,750,
561,058,035,805,642,159,284,035,079,970,495,767,997,208,808,754,517,845,267,
387,135,567,675,190,925,802,342,600,145,053,696,166,113,140,040,728,721,868,
681,027,675,445,237,931,816,776,946,331,576,342,924,284,760,547,531,111,507,
388,820,203,426,185,256,547,719,335,348,277,587,427,696,599,267,887,542,120,
787,730,779,113,725,351,745,912,333,772,098,852,844,759,567,868,969,961,626,
413,422,902,296,368,808,661,014,969,946,250,851,666,404,272,281,560,872,078,
266,708,713,610,356,195,856,659,694,723,526,965,261,526,118,515,111,396,994,
154,311,458,749,246,791,391,462,636,321,969,590,753,591,983,016,099,169,489,
751,571,262,670,168,508,509,352,942,520,450,475,752,830,589,198,302,847,724,
954,741,497,199,482,793,946,132,251,267,037,030,857,717,145,876,786,821,477,
152,539,189,951,836,447,565,153,623,620,949,932,571,961,034,516,175,904,457,
010,262,996,439,419,947,341,294,567,149,852,782,689,213,900,409,004,892,902,
608,878,094,848,908,028,915,582,970,122,458,394,328,720,314,416,972,017,964,
306,355,845,316,622,658,267,539,950,032,323,471,753,658,903,124,671,067,994,
321,374,472,915,403,627,301,443,731,558,514,281,056,848,723,850,767,412,355,
581,718,045,992,885,872,996,954,098,986,186,640,248,685,560,975,840,930,847,
249,449,643,158,569,632,617,467,196,496,326,393,716,235,485,725,383,547,011,
961,183,856,203,103,766,140,589,750,869,967,689,107,411,210,228,173,494,637,
841,971,155,385,727,526,973,193,311,836,150,573,148,809,240,752,182,234,615,
243,582,291,378,844,456,144,310,433,966,198,518,538,608,001,087,737,221,860,
475,703,444,066,575,295,326,826,941,019,427,839,062,491,142,155,361,817,657,
645,150,670,497,595,324,641,676,130,136,849,574,025,384,709,461,647,597,834,
954,217,532,883,076,912,017,350,753,069,472,425,508,987,965,925,379,392,886,
710,286,177,899,894,258,583,205,635,637,865,305,786,285,556,017,657,363,907,
384,949,046,006,261,259,784,351,931,374,687,026,125,881,105,439,030,851,423,
041,530,059,613,212,795,460,234,204,445,265,706,396,893,062,161,940,364,742,
369,547,383,245,520,282,841,714,918,316,885,617,115,528,953,765,644,372,931,
380,454,228,883,103,755,557,398,553,903,105,461,634,980,564,970,289,566,727,
264,349,744,283,388,666,195,432,828,561,642,900,331,680,021,176,158,906,333,
152,894,515,587,747,305,838,289,963,682,952,469,408,086,012,713,556,496,152,
396,819,891,828,096,809,948,907,514,257,840,065,890,695,174,918,933,788,713,
073,678,889,257,417,258,539,282,211,927,015,000,428,363,729,133,500,981,567,
960,194,470,508,989,236,758,104,405,270,891,017,378,008,228,122,930,971,516,
147,290,614,346,650,124,866,442,622,059,899,398,248,022,722,257,513,337,888,
352,499,124,607,452,613,784,798,134,648,101,185,297,775,475,490,915,903,964,
741,824,504,536,720,696,247,750,765,658,729,479,348,821,979,219,249,111,171,
019,698,761,484,707,154,752,614,363,246,773,973,204,616,532,732,232,925,138,
991,032,026,174,384,517,108,228,208,561,004,184,958,656,140,648,342,939,985,
207,917,975,985,589,110,503,261,057,482,780,780,001,823,279,509,224,802,469,
015,747,235,959,466,420,264,849,213,664,965,450,381,592,196,213,655,042,630,
377,118,404,829,437,085,337,496,263,616,631,934,690,672,192,987,953,572,459,
063,724,312,306,315,629,123,902,054,216,119,744,914,302,700,712,105,509,191,
239,305,333,458,585,939,964,695,550,666,279,500,558,166,172,248,738,642,990,
373,537,711,351,047,516,177,699,684,156,730,695,796,184,252,888,772,636,807,
121,914,768,196,789,324,182,744,547,937,458,450,931,267,609,310,314,334,360,
714,147,245,014,070,889,289,991,294,253,900,153,245,332,619,525,960,505,639,
652,754,017,773,830,212,333,743,555,451,128,421,212,867,324,837,189,092,706,
982,914,183,113,800,186,023,687,051,556,508,644,214,896,810,648,413,829,689,
341,259,568,730,235,940,695,019,053,337,715,940,733,666,657,764,558,361,982,
418,833,989,398,223,864,068,443,568,414,511,852,626,653,104,743,153,643,685,
785,312,769,320,288,752,920,655,420,917,252,851,060,167,412,906,349,273,375,
949,542,088,174,685,235,284,254,270,177,658,362,909,335,740,236,038,229,755,
015,423,517,640,290,097,731,924,674,687,792,639,067,109,785,465,889,733,315,
708,238,843,869,091,426,418,409,601,314,124,470,686,157,204,807,259,373,367,
190,536,964,680,293,735,344,779,201,718,152,759,579,733,310,665,051,579,096,
054,689,721,742,950,337,167,039,370,761,686,825,625,848,258,321,988,808,333,
452,909,615,795,517,876,507,873,883,826,201,933,604,410,829,499,768,850,313,
786,003,898,255,137,949,081,329,174,854,240,214,034,950,145,390,131,471,907,
581,144,975,410,410,392,577,082,486,475,082,920,845,942,539,516,463,609,072,
496,999,789,703,335,035,469,706,289,670,408,580,054,298,570,910,381,313,666,
219,418,208,516,753,614,864,692,504,638,839,677,411,413,677,748,945,401,938,
335,893,861,477,269,282,129,051,962,272,881,021,000,712,110,560,782,033,782,
345,496,692,156,793,806,548,184,456,197,116,948,682,408,598,188,042,933,360,
393,422,662,176,309,596,045,293,295,653,991,697,967,903,957,099,246,145,324,
642,896,976,168,235,165,778,662,809,298,913,980,310,552,160,736,994,176,825,
564,481,898,967,551,908,871,555,252,133,370,243,202,624,751,309,929,880,873,
390,753,595,413,662,751,561,132,347,619,195,540,332,792,935,348,109,314,927,
785,387,661,380,976,922,497,822,513,042,690,433,228,548,002,288,199,541,350,
195,543,812,728,848,151,669,512,522,342,122,938,666,310,976,932,567,871,639,
590,222,477,615,786,690,021,165,085,476,341,498,179,505,886,094,448,906,501,
208,023,766,206,346,455,973,231,352,113,112,121,189,980,594,086,009,116,580,
386,335,960,342,360,205,896,575,816,046,544,001,574,813,200,431,540,946,559,
940,853,103,801,659,773,182,459,978,787,719,228,074,944,190,037,611,947,108,
693,842,279,589,174,780,654,878,152,377,992,955,069,306,079,236,633,378,097,
336,556,927,810,671,369,656,324,242,464,294,280,308,253,129,567,584,510,818,
364,190,122,963,323,752,687,398,401,581,087,634,740,904,802,600,042,819,854,
633,399,189,357,539,997,399,988,901,152,695,009,641,523,621,896,361,329,584,
746,275,816,826,358,416,048,154,288,902,339,181,477,090,843,132,032,199,488,
306,406,098,501,923,699,070,326,398,798,420,511,498,461,149,855,558,445,344,
362,828,379,738,869,539,426,032,598,558,071,518,156,224,369,122,998,210,700,
112,862,005,182,085,149,860,933,753,031,950,887,400,973,308,565,718,746,807,
460,494,027,121,367,026,811,736,604,499,663,359,545,774,913,356,833,790,261,
318,512,634,966,331,247,456,778,127,968,040,874,925,211,662,795,392,315,616,
443,122,412,451,390,262,154,535,254,138,644,191,911,469,511,342,206,390,045,
539,720,320,989,824,912,700,816,957,067,566,837,052,296,542,344,267,105,735,
412,847,400,267,308,216,461,693,808,150,113,353,812,775,614,046,346,622,975,
271,247,361,306,556,883,636,236,027,122,117,156,071,664,204,689,219,111,854,
584,656,849,336,823,171,334,094,818,972,817,088,047,816,381,579,119,511,436,
083,253,964,119,724,017,019,289,811,534,221,515,660,655,977,541,244,284,564,
445,482,727,139,188,208,938,725,768,943,483,792,885,278,530,272,972,150,842,
902,112,120,695,156,954,045,884,823,162,147,367,958,469,069,474,987,460,035,
900,541,963,500,413,823,558,773,377,465,361,059,313,229,923,232,653,238,237,
307,636,932,904,149,230,934,037,131,497,847,614,787,501,975,162,224,510,398,
962,619,202,227,151,168,950,076,683,635,461,957,146,057,387,543,243,886,501,
988,613,489,906,457,428,740,072,491,516,986,653,037,222,956,438,811,292,162,
658,078,279,308,983,224,426,800,819,147,491,008,818,531,178,776,067,358,294,
244,626,718,509,778,805,593,838,712,973,385,097,664,753,611,243,486,797,697,
614,070,590,130,903,256,007,102,886,244,050,610,334,000,309,469,101,149,550,
697,615,511,003,574,011,852,861,491,965,835,541,461,324,763,232,458,007,086,
895,716,174,066,819,626,374,099,306,571,051,431,126,197,262,382,921,066,132,
512,738,846,321,804,279,623,144,611,470,738,903,538,625,493,896,254,948,526,
600,420,333,239,640,093,082,722,172,362,582,712,368,942,515,711,822,713,205,
999,494,605,611,464,245,921,739,222,500,636,745,541,540,891,407,729,250,151,
069,178,237,401,421,521,979,419,208,787,116,206,787,433,463,126,499,605,696,
554,050,208,400,475,794,234,830,837,251,938,437,118,560,107,233,284,911,210,
535,173,281,521,556,434,617,905,095,151,420,435,042,673,565,622,049,014,150,
236,935,805,220,261,996,733,208,061,941,428,407,910,545,846,133,688,778,993,
366,301,599,156,305,783,518,986,379,493,064,850,966,007,493,556,875,362,308,
084,377,105,825,123,601,836,557,666,721,219,426,695,671,635,831,204,872,635,
202,160,368,442,547,543,586,086,025,803,251,216,592,567,750,649,240,338,504,
360,413,507,890,624,595,351,835,710,514,324,327,208,976,830,605,074,398,782,
250,565,919,430,004,616,301,969,275,614,753,599,715,798,486,828,611,522,042,
987,929,681,039,653,600,468,808,311,315,829,916,602,182,205,318,748,108,523,
617,862,215,920,835,295,936,752,748,249,701,586,451,093,407,775,659,386,178,
755,829,321,852,727,866,535,038,266,965,096,999,926,544,672,651,792,670,798,
016,800,612,107,649,509,601,594,793,022,762,208,923,510,097,449,513,341,653,
314,392,890,594,823,988,765,610,173,675,365,900,009,894,067,099,171,343,200,
386,784,298,338,192,279,639,854,824,963,886,016,808,781,292,214,277,404,505,
631,100,464,510,603,685,705,682,976,731,916,957,009,060,685,734,799,694,622,
654,421,059,010,627,003,964,404,919,215,033,735,635,726,792,548,076,478,478,
191,672,517,391,952,053,896,079,688,813,012,683,956,365,890,428,745,393,254,
536,174,598,570,291,532,680,966,698,699,985,375,566,171,557,115,156,687,665,
845,981,289,057,244,107,043,435,975,653,260,691,213,387,340,749,973,510,877,
024,307,374,862,312,044,727,960,869,505,550,327,944,769,282,816,524,514,117,
807,179,868,020,130,840,527,162,598,461,448,308,725,989,756,877,797,735,424,
513,840,223,644,477,303,829,862,861,697,177,508,768,708,216,229,681,088,804,
512,775,625,091,651,355,717,799,642,519,186,772,972,701,384,860,386,756,377,
661,919,681,750,945,963,785,722,352,766,388,630,639,764,907,220,328,582,672,
604,066,634,543,473,952,756,377,205,053,598,452,048,543,085,573,571,249,517,
837,742,279,599,909,759,079,825,752,687,705,004,045,038,839,843,492,109,665,
473,431,814,027,165,713,797,872,002,182,019,289,829,429,104,907,784,241,684,
119,830,335,566,720,399,424,619,731,915,740,281,059,564,634,625,849,175,397,
486,982,871,971,171,121,108,921,996,853,962,252,402,925,524,584,257,157,729,
057,498,045,304,454,866,752,739,941,427,278,631,460,338,091,676,056,105,758,
637,084,152,770,622,326,973,192,817,764,473,896,654,738,071,430,126,793,427,
049,249,760,215,164,061,672,852,879,053,339,030,014,875,056,252,761,978,140,
174,781,056,908,560,089,512,497,291,806,225,390,055,835,963,949,212,117,665,
612,611,537,733,026,547,517,553,248,938,928,030,085,509,400,761,803,736,788,
200,438,033,991,116,669,628,067,772,512,502,829,794,173,201,380,654,217,165,
813,656,519,536,280,222,027,301,057,754,732,918,736,758,663,546,853,936,124,
709,156,051,703,564,210,997,703,951,371,374,620,924,202,484,761,300,230,679,
876,340,244,268,912,851,889,052,503,504,182,008,910,886,200,736,236,739,520,
486,096,368,358,995,293,008,772,595,376,559,720,055,197,013,473,248,812,130,
534,651,122,995,548,198,052,576,594,566,237,611,621,258,684,930,344,218,433,
991,777,806,417,947,257,431,217,158,593,513,713,520,750,151,078,456,245,477,
046,128,747,884,262,784,493,548,392,351,174,389,535,253,868,009,908,492,260,
463,433,151,217,881,960,786,506,335,076,008,626,355,294,198,856,309,087,755,
831,774,241,548,880,783,967,030,197,482,670,966,800,033,914,537,431,464,427,
596,594,387,863,225,010,961,966,560,008,066,405,256,681,465,255,813,722,700,
548,670,629,815,438,448,647,255,338,955,937,649,802,058,914,229,698,279,551,
490,796,176,477,838,218,146,032,039,315,650,676,333,844,611,333,292,684,871,
535,236,143,646,699,986,645,731,599,077,496,773,702,341,814,867,771,740,523,
502,222,305,985,259,472,680,004,665,475,865,679,359,280,228,792,318,798,911,
497,523,990,511,125,296,613,709,314,902,094,323,720,409,371,925,746,437,752,
803,707,718,008,113,540,853,299,901,920,129,729,117,106,474,712,973,738,773,
249,603,621,268,505,573,790,263,076,457,840,000,297,525,352,428,631,963,422,
406,519,956,541,789,652,700,005,583,402,944,937,050,479,956,709,760,486,809,
882,058,164,153,568,474,652,197,764,488,766,352,098,585,356,238,449,616,646,
846,482,398,119,353,767,071,368,093,291,905,552,785,852,102,301,588,062,453,
500,779,041,898,901,983,954,666,455,954,445,997,524,641,971,955,162,967,150,
930,911,290,166,123,602,803,381,667,323,298,340,806,657,647,349,493,894,146,
699,309,306,433,294,452,547,162,926,998,836,546,900,158,258,544,805,994,788,
832,790,658,555,381,404,507,377,126,386,073,821,135,747,121,716,354,161,083,
840,510,764,248,783,210,572,918,037,577,271,981,804,643,714,472,515,469,611,
097,888,727,475,585,409,966,045,361,791,207,444,327,083,312,786,701,446,734,
795,572,672,319,801,675,119,074,183,014,700,137,950,622,171,641,048,948,935,
482,979,374,224,010,709,184,356,898,311,318,263,740,476,152,373,769,604,965,
510,824,883,636,030,880,763,766,381,105,599,050,278,199,868,179,513,000,783,
385,300,033,397,516,435,175,403,284,779,257,044,730,499,182,531,568,019,164,
984,549,315,172,429,741,598,071,047,303,173,343,887,258,336,659,861,760,565,
832,887,267,653,323,742,353,464,762,841,875,622,684,442,372,826,153,149,038,
414,319,581,889,741,793,490,748,341,908,578,639,535,092,687,155,160,864,960,
947,493,355,858,979,843,362,206,665,139,300,196,466,737,212,583,826,162,760,
091,996,951,326,956,363,805,315,677,278,425,069,475,960,693,862,897,223,130,
235,157,573,440,035,196,261,724,436,984,882,471,664,789,755,661,186,361,529,
572,629,573,931,176,077,183,516,166,900,860,850,417,544,697,016,783,639,598,
639,705,060,215,202,578,575,520,910,431,187,692,516,304,072,282,473,314,234,
354,582,436,010,685,866,469,008,655,832,164,307,034,592,876,318,750,808,262,
497,460,594,600,153,055,915,819,479,878,921,095,005,586,392,068,483,089,535,
398,217,609,845,259,978,161,179,007,601,876,867,725,868,963,907,596,505,482,
270,170,960,643,380,848,200,349,483,190,626,831,251,525,142,277,262,201,359,
513,621,562,454,146,884,950,669,602,877,276,731,707,703,651,770,289,848,095,
107,429,457,446,218,775,386,029,140,061,694,869,331,578,438,125,525,394,227,
437,990,863,078,731,251,694,630,169,140,425,913,149,099,323,608,446,925,120,
943,959,007,096,935,809,225,237,584,993,654,302,243,906,804,496,733,962,296,
010,344,925,110,844,343,415,656,533,421,168,325,111,080,527,134,083,568,029,
944,778,733,957,741,253,745,092,787,418,214,227,778,033,933,408,320,530,508,
683,499,121,380,093,380,274,523,595,454,487,260,103,196,560,122,002,746,673,
271,301,650,900,019,207,602,653,205,271,323,156,084,548,514,773,435,889,703,
822,682,925,971,930,110,191,137,892,570,911,595,357,387,247,683,704,013,773,
226,627,491,391,392,275,551,029,653,971,955,365,748,955,892,319,471,493,629,
687,431,511,180,216,238,219,053,203,530,574,069,620,520,104,188,653,257,067,
980,058,043,293,064,569,615,922,384,904,626,444,366,793,806,347,267,960,813,
572,758,636,730,807,151,191,502,073,495,341,608,417,857,426,225,339,283,671,
540,314,443,663,163,764,666,597,918,804,737,883,425,435,460,503,582,320,300,
037,658,038,492,886,179,047,208,235,452,809,672,785,216,501,509,074,264,980,
905,443,780,722,321,749,997,409,540,802,458,269,069,151,181,664,725,657,461,
889,617,299,781,240,735,882,576,425,577,110,757,919,468,098,280,897,257,479,
975,313,082,658,821,130,914,758,090,330,527,628,322,184,149,325,414,987,385,
955,591,963,151,497,379,095,637,832,895,413,931,335,841,313,894,015,890,029,
827,860,477,589,196,025,560,640,700,779,714,407,667,599,229,798,593,858,493,
842,355,615,132,864,667,219,513,900,480,890,953,277,897,845,732,430,046,055,
098,294,815,447,381,255,326,985,152,597,559,438,472,418,668,010,473,082,176,
836,296,755,310,937,100,908,867,335,812,951,842,856,204,357,549,518,370,218,
093,321,338,727,566,030,025,508,771,052,958,293,216,651,046,277,477,001,876,
434,495,633,324,718,094,050,648,550,633,619,163,935,398,004,755,114,979,666,
379,696,791,858,398,565,715,541,970,305,647,807,451,810,290,791,731,128,925,
987,739,338,572,896,041,535,762,843,045,457,374,849,161,474,720,172,784,427,
509,280,757,247,003,660,277,066,806,843,421,445,630,060,032,028,072,929,696,
705,095,584,237,781,920,588,508,243,932,252,069,839,670,678,202,600,906,632,
129,661,685,184,604,232,556,814,158,749,812,126,816,282,115,929,927,790,046,
220,188,283,221,069,802,286,545,305,282,440,855,441,296,006,388,552,806,369,
329,950,282,639,487,862,887,959,584,426,927,870,442,041,192,026,339,614,162,
939,606,562,475,540,614,391,870,539,199,788,691,849,409,351,954,807,983,503,
140,645,232,905,817,968,494,151,478,033,903,308,621,993,284,449,519,541,070,
106,422,820,185,633,698,199,947,249,017,363,907,373,152,873,136,457,801,135,
742,873,528,029,663,996,138,226,128,540,286,642,912,948,125,636,975,971,520,
804,121,665,468,814,040,557,477,627,716,815,364,689,612,222,844,460,107,555,
443,918,691,119,917,399,728,750,278,729,440,199,146,844,255,033,000,039,891,
039,916,594,912,912,344,603,811,032,269,088,478,127,806,262,466,460,990,733,
574,177,412,287,871,528,240,402,834,518,275,032,313,546,864,444,666,024,689,
343,668,004,177,360,676,450,099,213,864,217,582,160,010,687,320,688,447,433,
311,353,285,653,087,781,000,259,995,175,364,563,580,681,481,567,654,471,336,
796,641,395,275,872,165,759,299,134,893,643,292,509,111,529,953,769,193,923,
444,490,458,542,551,752,055,782,582,238,186,717,514,288,855,939,155,649,373,
005,140,789,563,244,470,068,947,048,811,392,876,933,695,040,274,168,210,286,
756,733,777,604,298,077,467,674,170,600,655,689,252,064,086,090,154,459,462,
435,470,955,131,218,445,136,175,157,613,864,562,887,445,322,621,912,050,839,
162,590,753,824,290,328,891,762,289,981,599,200,054,384,132,731,698,698,746,
644,091,722,984,992,008,754,636,384,128,037,933,895,391,783,569,489,366,946,
659,481,292,707,162,345,392,698,936,307,234,948,511,408,050,178,551,869,608,
716,708,239,091,233,541,264,913,642,486,862,124,386,781,191,632,230,008,169,
453,534,871,642,191,235,087,555,234,286,129,424,122,022,599,493,598,499,434,
506,873,470,163,104,532,128,543,376,788,597,712,112,175,197,375,321,107,816,
438,272,254,572,026,401,313,187,888,974,360,475,282,514,732,849,103,319,409,
486,919,501,098,908,723,836,877,309,870,774,156,323,962,909,670,583,298,539,
894,049,630,293,634,090,297,028,045,102,949,041,450,547,298,727,885,349,083,
708,034,765,261,623,120,694,623,703,447,322,085,765,950,874,820,894,680,528,
909,702,202,644,946,984,275,538,399,486,880,988,277,403,385,913,973,126,221,
131,650,047,628,284,550,409,131,107,605,623,628,274,229,507,390,723,529,828,
875,901,478,977,448,244,791,049,854,045,416,466,082,378,229,446,196,769,178,
238,710,102,383,184,547,379,375,341,541,609,889,272,551,395,195,622,941,649,
064,206,121,729,903,266,019,007,754,269,321,738,504,255,835,439,098,981,134,
114,080,723,717,393,758,630,030,452,453,530,986,140,723,638,925,621,817,954,
130,239,923,051,523,084,554,748,962,788,596,264,870,357,394,215,937,507,446,
060,894,406,694,790,092,436,368,620,209,576,365,641,015,608,858,411,777,004,
717,558,577,868,464,096,135,483,261,706,400,248,603,814,019,384,940,964,203,
134,576,053,962,577,893,766,667,722,426,319,367,779,147,495,514,743,319,989,
996,833,817,569,845,636,753,580,433,902,000,076,418,409,291,539,343,185,817,
549,566,118,578,620,805,432,636,374,904,547,180,221,107,148,946,045,167,246,
973,437,122,673,264,113,024,771,719,783,465,952,318,589,252,686,949,647,936,
509,874,341,760,134,802,994,575,049,108,611,305,176,465,542,023,249,901,672,
796,368,464,534,903,214,341,770,170,943,776,268,056,128,588,207,402,760,452,
110,769,004,485,101,179,080,024,827,497,185,438,298,888,069,177,136,331,724,
910,449,285,364,003,826,945,415,749,633,225,361,053,881,732,360,800,513,873,
784,945,615,706,983,592,251,511,131,262,929,187,679,614,745,712,155,885,955,
929,485,873,435,238,096,401,184,709,791,275,588,379,568,306,796,751,317,233,
971,266,732,971,057,433,044,565,157,462,095,665,694,298,777,110,563,088,058,
801,344,929,920,035,705,441,076,093,185,199,688,433,015,872,575,440,142,145,
554,358,119,358,574,328,755,169,179,728,480,112,384,223,072,237,481,765,957,
000,353,512,009,837,490,646,951,578,620,428,028,652,349,795,971,378,361,247,
561,379,100,065,513,512,232,888,039,022,084,136,656,239,271,846,355,176,190,
336,289,841,684,329,299,660,165,733,574,362,353,988,347,364,269,776,559,162,
315,623,960,892,616,009,372,962,598,244,599,283,460,730,490,905,456,356,374,
093,327,159,940,463,115,942,543,354,465,559,508,103,071,985,775,238,189,084,
577,153,902,855,027,948,924,255,527,177,855,597,658,630,728,599,678,983,711,
666,731,625,787,174,637,835,937,211,917,317,422,297,412,854,183,462,986,219,
281,755,562,834,896,217,692,793,279,298,945,412,760,012,143,085,822,662,115,
836,444,469,557,638,186,839,729,969,902,395,894,778,176,217,234,011,911,260,
530,590,790,338,665,420,156,824,213,837,205,083,091,398,282,473,911,708,417,
069,568,935,795,663,517,430,463,441,866,424,422,078,980,433,487,157,435,356,
950,607,115,682,741,327,697,263,915,906,462,296,297,463,531,687,157,414,943,
776,065,021,138,016,012,374,776,638,730,448,872,701,712,275,428,145,775,405,
186,647,243,300,622,436,315,406,218,464,169,084,121,642,682,024,557,957,105,
399,139,267,530,830,133,379,014,556,766,063,651,908,718,543,863,569,875,841,
047,856,827,732,103,685,389,510,390,353,236,840,632,544,906,746,297,580,109,
683,362,324,155,723,498,132,531,194,344,972,255,724,099,391,704,973,061,040,
269,742,380,686,760,635,182,031,844,652,810,968,296,599,134,601,567,627,450,
317,588,948,673,059,456,193,031,760,809,151,715,931,933,241,384,960,189,213,
805,730,861,929,344,104,578,121,988,330,424,638,170,198,383,189,842,876,027,
443,519,190,250,846,932,150,548,465,934,069,498,748,889,762,495,443,758,269,
821,990,767,584,160,774,540,198,827,883,384,190,649,707,630,931,034,371,228,
496,414,027,153,877,702,969,972,596,824,945,232,839,739,001,744,620,729,169,
202,347,096,066,989,358,996,232,851,056,879,767,951,189,549,437,179,674,707,
393,186,022,477,615,331,105,229,527,634,850,745,710,293,063,573,742,826,985,
343,519,228,366,437,001,809,702,322,144,967,359,959,760,929,499,082,606,837,
001,262,642,193,581,903,667,711,801,896,005,374,940,440,192,105,183,644,122,
437,826,773,543,549,930,861,709,942,585,076,406,920,614,530,362,076,170,284,
469,049,429,940,238,723,780,481,329,610,567,027,888,285,707,056,537,789,310,
468,247,946,770,696,973,027,977,389,877,354,592,783,993,195,055,669,903,323,
420,965,302,876,965,905,021,979,936,085,986,188,406,909,737,944,273,932,328,
086,318,980,436,779,321,430,857,184,096,364,332,484,094,767,918,112,033,576,
489,402,629,985,531,739,038,805,109,280,903,495,155,800,331,378,829,535,065,
370,536,318,569,034,177,977,178,268,499,592,797,049,227,624,030,818,738,877,
534,207,253,689,703,472,969,022,800,405,307,368,151,324,894,890,820,211,977,
219,551,761,199,056,245,430,808,207,743,367,974,871,232,036,269,246,828,658,
427,951,857,658,332,793,703,990,059,208,724,541,994,109,705,765,042,270,955,
272,590,244,194,515,270,309,693,356,224,665,613,852,709,873,925,685,882,210,
844,096,629,317,582,686,346,274,729,694,014,647,672,252,345,745,338,348,762,
397,007,957,470,403,257,392,107,424,880,356,339,387,461,030,105,162,193,104,
967,946,394,040,775,336,640,572,627,713,803,897,543,470,446,041,198,535,172,
796,164,342,359,684,605,799,002,171,071,732,426,405,452,592,274,704,187,504,
987,483,473,377,546,313,313,708,986,154,519,802,054,343,567,070,392,799,620,
770,901,294,206,815,775,849,282,707,597,168,461,217,567,490,783,749,616,470,
424,673,839,178,806,412,886,359,406,852,761,643,825,944,163,593,831,965,275,
025,065,294,501,736,087,483,266,320,126,516,271,525,794,075,407,160,446,772,
078,162,779,369,103,563,097,532,398,889,062,602,099,826,599,335,868,654,053,
940,852,527,942,387,939,934,474,199,134,746,783,715,250,904,709,861,401,064,
239,623,459,698,411,171,444,591,490,008,635,920,825,250,660,419,251,600,175,
175,988,111,862,328,529,460,725,732,679,600,060,163,771,994,194,841,838,122,
295,911,133,027,339,834,887,248,678,756,620,075,373,909,263,841,765,059,281,
474,484,790,266,171,816,390,369,923,103,235,026,299,036,575,401,437,434,435,
230,558,188,948,645,240,870,163,533,523,884,062,734,761,824,136,726,082,486,
493,525,605,260,131,672,647,854,535,419,275,879,632,362,269,134,465,966,098,
174,862,670,434,884,196,214,265,995,140,385,344,507,493,047,812,930,522,456,
482,161,170,127,444,599,860,276,308,581,249,817,152,175,909,187,419,909,257,
925,510,842,219,601,688,394,779,801,309,996,069,325,956,473,777,433,175,768,
332,340,652,406,031,647,048,662,190,876,507,614,357,845,438,179,196,214,170,
032,431,371,896,466,931,888,634,325,213,703,618,355,799,334,387,222,040,834,
618,780,925,952,460,981,549,507,226,501,355,904,315,437,873,089,151,969,749,
063,674,094,045,272,715,416,202,736,678,259,391,826,764,017,651,006,632,107,
434,450,282,283,135,926,758,971,645,294,646,277,856,926,057,668,143,372,617,
439,607,349,371,006,095,029,220,129,183,895,217,882,177,209,657,028,231,293,
440,197,377,409,865,742,302,138,149,474,361,756,630,628,803,196,265,425,220,
824,770,210,507,023,388,699,936,939,520,700,349,194,281,535,788,609,414,687,
376,245,652,135,608,235,892,989,605,516,099,704,120,500,502,684,872,441,730,
481,149,337,697,850,272,982,097,363,872,425,237,763,665,459,320,314,199,707,
212,477,091,118,709,154,375,128,497,980,370,529,931,267,155,162,982,460,266,
938,857,683,387,045,473,717,845,536,554,742,021,941,200,359,110,414,500,268,
854,422,737,255,677,341,029,136,807,956,312,356,156,730,831,271,594,779,848,
404,910,581,190,683,695,327,900,319,033,659,247,604,772,168,379,078,876,793,
441,256,627,716,091,659,172,288,713,070,358,653,286,793,170,687,282,353,341,
167,126,147,978,387,992,588,938,751,286,374,625,178,348,838,639,690,020,729,
436,091,303,155,332,715,647,628,627,745,511,679,675,398,064,271,953,726,307,
247,611,669,434,107,037,190,727,365,008,455,048,137,450,093,605,485,805,589,
239,586,169,711,820,511,290,708,722,095,809,629,154,724,087,497,024,626,500,
250,221,888,354,982,864,975,543,191,300,387,959,958,648,118,599,190,540,342,
410,929,746,509,694,916,341,980,228,553,634,583,199,871,088,936,599,634,047,
882,646,992,913,880,430,278,707,899,845,308,685,426,521,554,477,904,070,672,
449,656,296,782,230,465,060,618,493,637,612,870,320,494,954,211,107,861,125,
878,841,831,626,422,347,666,031,149,998,596,104,803,260,430,945,327,377,221,
235,557,369,796,580,500,408,336,333,104,538,225,081,856,805,379,501,690,178,
989,614,661,040,379,697,216,729,214,550,941,448,917,053,271,232,504,222,711,
485,847,552,536,446,876,062,296,231,439,680,918,770,736,975,745,012,429,592,
269,082,470,964,905,693,101,996,096,594,386,921,486,721,155,491,429,183,243,
173,108,145,492,209,645,675,947,856,266,586,361,552,026,679,573,386,523,338,
688,207,944,107,256,908,169,530,747,867,196,600,177,200,121,053,392,369,273,
144,991,385,080,365,934,687,399,482,425,144,127,239,833,376,773,292,212,082,
102,956,136,444,861,195,934,079,972,877,858,011,611,108,124,742,680,478,567,
169,167,842,075,433,689,543,672,485,291,437,269,379,058,016,130,795,294,678,
485,221,303,127,846,994,034,455,196,525,233,884,584,482,736,483,235,768,397,
146,703,536,554,596,999,533,071,974,442,310,054,926,813,016,352,174,200,107,
079,459,633,767,952,927,617,345,827,752,171,246,855,400,366,708,450,954,672,
092,572,845,238,928,996,358,056,363,846,464,441,226,788,807,136,716,791,671,
858,659,552,661,983,572,118,717,487,793,004,246,455,337,524,953,938,087,733,
486,505,274,631,511,096,520,801,841,049,932,644,205,535,252,143,218,760,517,
163,794,619,357,949,259,823,402,104,791,554,171,364,174,491,328,495,666,451,
102,033,794,982,649,262,401,711,208,375,535,289,407,496,027,851,577,756,466,
781,202,599,199,877,895,451,892,311,160,889,232,592,297,418,004,569,567,740,
347,111,203,486,345,007,718,051,027,922,202,268,709,075,475,491,151,127,775,
022,505,631,281,852,062,285,681,607,459,979,669,597,341,724,153,283,588,911,
092,577,696,771,569,395,737,420,392,996,100,986,656,827,973,598,927,245,037,
138,226,522,075,903,616,522,867,619,400,890,079,014,082,485,942,724,546,067,
729,697,957,813,351,207,739,692,687,599,617,944,456,419,469,012,277,759,285,
698,952,099,859,772,911,534,401,968,942,495,141,739,397,441,928,674,741,939,
525,609,857,926,205,897,592,548,554,217,854,539,448,613,866,175,164,768,542,
289,830,792,464,699,151,860,137,186,978,023,662,196,211,560,091,266,193,941,
447,872,105,246,873,593,570,006,845,946,158,741,555,751,130,607,777,347,809,
229,532,431,890,793,528,173,491,473,172,774,143,604,608,652,840,783,257,812,
051,472,525,180,827,769,807,357,622,608,154,204,897,196,435,528,850,546,612,
878,841,145,082,351,395,582,521,855,032,374,361,662,446,766,242,587,354,726,
949,659,824,508,681,662,871,011,328,896,520,075,741,368,711,766,148,270,981,
605,824,772,548,451,338,231,870,101,534,642,773,982,798,971,660,164,306,567,
822,518,578,886,542,195,622,184,144,822,673,033,170,077,543,745,346,937,971,
895,431,515,018,573,212,126,075,355,292,330,832,475,155,269,129,357,495,171,
011,104,242,071,256,720,427,495,232,149,844,033,400,345,657,307,434,413,982,
725,032,250,707,629,662,134,510,641,515,115,086,280,792,016,494,852,816,174,
640,020,472,564,445,168,052,171,975,460,305,488,230,896,437,469,477,652,867,
694,814,909,879,414,267,994,766,273,473,480,653,065,537,490,476,119,053,303,
559,295,978,393,335,845,522,823,472,906,227,305,999,639,825,090,033,212,400,
761,344,123,734,845,131,974,815,385,733,379,992,632,338,844,798,611,409,071,
866,532,052,399,693,415,562,867,314,430,338,080,369,194,597,160,921,621,776,
854,348,389,446,917,777,526,195,303,188,324,600,450,246,899,787,031,504,651,
962,196,660,509,574,277,416,292,353,472,748,890,408,610,579,811,718,996,919,
760,102,256,445,408,496,193,795,748,790,711,441,137,832,760,694,782,298,776,
363,609,466,751,838,430,167,504,545,794,040,861,154,556,024,578,220,789,379,
117,472,511,097,616,732,534,853,113,600,190,363,858,039,836,630,275,320,398,
254,393,595,876,136,736,607,113,037,672,357,528,568,112,083,149,295,770,615,
547,360,424,387,883,432,057,102,942,849,150,759,630,833,589,362,738,526,611,
087,092,669,535,419,195,897,731,968,920,897,421,065,365,041,382,590,622,782,
074,734,380,586,024,216,781,564,093,846,339,038,055,925,817,115,191,677,048,
021,237,338,029,721,318,033,772,598,751,013,857,739,736,725,680,428,828,893,
472,942,820,239,680,160,210,189,961,000,637,068,740,403,626,220,176,849,224,
428,978,572,261,459,338,209,939,980,836,428,856,000,040,077,206,364,436,967,
523,181,835,249,433,331,376,109,790,180,495,768,913,171,859,920,182,749,035,
654,846,793,771,824,073,489,496,825,442,944,265,207,169,731,538,635,153,365,
928,469,129,376,150,163,750,581,429,882,035,802,870,828,596,146,999,109,568,
930,742,886,175,533,230,652,578,863,662,134,950,451,231,342,937,176,118,012,
974,922,054,240,024,507,534,513,077,438,245,703,779,972,078,964,871,558,530,
885,340,152,536,585,638,408,927,813,622,295,454,581,063,983,422,534,552,391,
493,042,306,626,493,862,929,252,681,659,951,051,908,853,211,761,509,809,038,
373,410,425,956,768,695,206,782,623,740,721,957,681,721,770,574,378,600,484,
603,411,428,078,718,397,989,149,604,307,058,323,499,084,921,049,257,723,982,
614,498,313,454,966,105,901,356,626,018,890,274,018,045,162,453,526,451,057,
471,479,185,349,614,458,081,960,697,059,124,271,562,081,861,582,353,532,119,
419,773,650,779,604,886,615,969,620,473,428,728,143,773,977,371,930,030,615,
627,090,771,088,969,637,078,503,409,380,906,747,219,467,351,581,302,061,559,
001,027,576,580,334,151,426,535,027,457,528,593,134,629,119,362,758,263,432,
633,912,188,492,219,318,339,020,647,093,954,862,708,113,192,741,433,550,210,
002,048,374,430,639,739,777,614,965,185,312,098,512,189,262,311,074,818,769,
213,204,635,184,203,390,366,020,835,227,368,234,732,076,787,284,712,993,673,
642,603,081,953,154,241,349,471,530,906,050,311,172,287,126,561,156,634,334,
610,090,565,903,046,033,664,661,882,066,247,017,825,119,855,859,495,398,452,
462,337,482,840,928,299,860,362,156,943,485,380,648,438,972,074,877,615,849,
062,122,833,901,509,834,946,854,390,895,277,124,575,519,756,913,135,848,180,
575,950,130,291,350,808,859,486,661,465,123,146,467,640,672,591,615,338,346,
726,457,060,531,855,082,068,944,374,320,641,267,194,299,877,427,819,224,476,
617,317,367,930,934,589,894,547,910,405,289,652,465,985,439,315,517,067,900,
527,573,847,488,646,530,586,454,560,904,767,430,834,027,659,187,104,630,083,
891,072,383,640,932,938,747,719,362,471,734,700,567,563,766,913,496,276,235,
476,890,850,440,799,970,127,500,696,821,112,156,724,984,572,613,460,441,267,
053,591,850,713,788,404,254,382,811,635,691,377,671,263,226,955,906,195,714,
777,896,369,274,152,833,130,893,459,415,206,802,054,008,822,045,928,681,543,
268,404,024,575,040,715,417,415,282,859,941,002,773,083,567,770,416,092,454,
031,597,241,204,372,797,814,225,271,406,285,830,446,080,177,963,658,708,789,
952,055,781,754,381,009,469,351,992,092,519,378,951,401,753,542,896,359,981,
565,187,868,401,409,507,505,142,580,371,365,513,464,280,457,042,630,758,335,
588,686,578,276,582,851,771,982,011,070,804,811,555,279,623,093,323,993,619,
297,871,374,826,932,607,999,810,002,120,769,174,380,167,187,444,482,940,896,
218,608,078,665,059,757,764,909,612,182,456,260,432,126,403,742,560,623,848,
332,801,045,356,434,504,496,817,658,371,502,770,395,840,027,767,337,777,150,
559,487,915,342,919,353,380,495,412,147,884,282,639,024,739,807,972,622,082,
463,410,760,095,278,527,681,082,326,314,462,676,300,449,562,395,425,838,033,
997,341,035,234,960,726,867,212,465,085,216,105,410,646,017,800,665,707,505,
611,963,790,552,772,494,206,754,363,827,924,706,917,371,913,493,122,029,241,
703,664,000,658,568,336,498,641,806,149,136,916,615,309,867,843,586,602,316,
872,851,810,524,292,466,698,161,737,693,499,089,305,965,427,848,718,914,608,
455,800,277,922,287,418,620,992,986,886,966,000,667,150,929,669,518,210,858,
629,645,734,857,803,289,629,631,363,489,737,868,103,069,706,263,488,891,893,
603,694,562,624,103,167,763,323,432,546,495,086,430,205,001,083,329,284,190,
021,845,452,945,840,719,124,124,553,222,016,346,782,382,574,992,850,673,162,
613,123,309,448,702,724,746,721,509,723,508,157,845,859,104,666,474,103,008,
785,921,317,621,712,500,252,989,320,290,618,846,930,113,486,316,440,243,057,
495,214,633,376,253,004,026,531,364,071,916,731,164,977,457,231,827,417,205,
979,489,781,271,757,149,645,429,267,416,467,478,230,766,667,400,915,778,341,
670,251,530,376,005,204,826,246,526,122,006,892,241,754,485,334,321,324,708,
935,773,357,360,254,829,650,996,344,505,311,765,374,237,120,989,745,737,171,
220,913,311,709,211,962,382,243,077,381,404,835,498,777,624,020,485,280,077,
193,422,023,546,403,209,610,836,758,963,690,667,306,893,232,598,500,506,199,
127,820,699,063,823,719,209,354,210,727,554,773,026,628,762,281,831,000,637,
679,181,434,490,769,513,033,588,445,060,031,481,890,264,121,347,968,132,425,
665,704,006,589,270,110,606,366,930,152,286,275,891,151,135,482,123,098,653,
212,538,827,280,139,137,955,312,175,323,215,124,513,509,140,272,542,813,919,
236,904,475,362,152,124,894,508,568,251,369,226,646,890,819,157,675,615,393,
654,705,157,531,161,624,615,087,650,070,355,041,769,050,740,252,036,296,587,
288,767,500,690,507,527,597,896,479,323,786,547,295,301,459,394,393,469,226,
471,956,875,806,495,524,524,762,786,259,160,101,615,456,461,009,809,336,031,
661,681,352,388,696,966,457,355,463,533,069,784,726,503,931,033,308,498,255,
824,699,642,961,332,564,948,651,302,884,946,891,783,291,045,786,974,137,663,
732,888,031,993,591,444,970,498,756,384,905,011,707,078,820,030,445,941,412,
249,226,521,468,103,557,748,448,845,974,917,634,623,674,027,395,638,810,014,
670,647,147,665,382,527,285,048,358,007,475,539,396,880,161,293,582,499,710,
964,528,832,405,768,570,971,731,189,495,005,428,561,761,186,221,368,435,395,
959,051,483,458,042,809,724,450,391,120,846,894,143,088,032,395,365,515,516,
854,871,559,340,607,541,067,972,581,897,995,006,056,955,572,965,677,094,013,
270,558,529,669,038,835,169,469,277,320,332,461,762,165,478,680,356,983,237,
429,649,517,145,903,282,507,158,536,150,039,199,916,919,011,578,720,241,696,
634,575,589,002,893,139,184,000,794,782,417,660,962,557,525,846,513,392,458,
510,498,971,058,034,534,736,671,294,124,033,266,065,224,742,357,419,528,870,
107,963,263,838,678,683,827,873,916,851,510,260,587,056,272,309,900,432,790,
108,407,104,917,208,041,666,718,811,926,594,181,449,891,128,019,511,956,696,
018,653,797,500,317,051,164,445,337,138,822,627,234,913,474,552,186,103,373,
350,973,762,681,679,971,643,853,400,646,555,446,577,484,720,338,336,524,915,
017,792,252,029,879,715,649,706,341,875,660,512,386,078,487,746,690,943,429,
922,253,429,222,980,422,394,613,432,039,350,652,013,260,489,171,184,268,482,
488,659,696,081,674,327,052,155,743,897,219,090,351,455,598,031,174,251,338,
145,148,520,197,835,619,600,408,314,083,585,777,607,925,659,501,637,388,122,
540,746,930,092,111,919,454,598,479,066,413,368,568,760,643,705,646,425,634,
705,079,838,195,682,476,271,771,063,268,533,291,086,664,851,441,794,341,990,
937,254,771,843,970,458,541,261,782,106,865,981,492,730,224,862,250,246,122,
971,518,124,821,146,200,943,637,479,796,040,051,391,114,498,387,898,854,850,
354,839,600,914,468,940,364,635,815,867,848,307,862,391,666,169,639,839,432,
334,563,889,535,765,738,834,940,944,300,189,702,532,079,672,196,822,983,597,
312,446,735,546,094,485,850,047,659,613,184,249,210,558,484,448,102,427,480,
309,821,386,914,432,144,663,877,407,803,450,148,997,779,855,067,605,131,888,
457,680,502,864,477,713,086,036,046,084,700,730,410,112,304,742,881,949,679,
993,787,911,382,501,776,150,011,833,130,808,839,797,624,345,415,039,441,159,
200,443,640,860,375,809,533,196,533,249,549,803,016,216,977,089,677,149,992,
000,663,082,809,797,488,539,451,591,388,790,799,810,444,903,086,932,715,090,
403,427,187,366,902,776,260,302,489,929,867,778,850,060,430,833,440,745,822,
107,010,953,533,791,205,016,530,078,266,692,851,586,152,662,478,220,299,661,
599,865,113,857,903,086,922,424,265,738,964,772,600,511,825,672,362,680,235,
002,328,122,654,274,882,408,783,931,257,509,571,949,038,048,421,236,045,967,
133,659,272,731,807,523,125,093,244,541,262,055,462,097,161,380,468,346,631,
450,697,652,401,949,726,462,294,969,106,365,734,168,135,872,800,381,977,464,
266,350,248,261,158,403,710,336,006,991,449,739,078,466,980,384,281,357,218,
444,519,113,599,426,856,272,551,726,752,095,613,529,544,050,287,904,691,607,
774,698,760,496,433,981,308,071,428,202,954,290,215,590,498,172,553,392,221,
727,829,120,944,392,207,947,500,942,347,570,480,455,903,615,572,488,264,597,
067,219,793,557,528,376,221,715,578,151,731,041,301,065,472,549,974,361,034,
535,219,801,522,379,816,033,016,079,228,477,248,802,241,162,143,933,064,086,
894,816,346,740,622,674,412,518,241,826,640,851,165,585,177,609,565,572,960,
843,350,406,067,008,947,927,651,552,527,702,499,607,976,005,868,148,938,237,
245,701,417,666,670,625,893,473,850,650,997,372,395,409,776,874,365,269,656,
290,363,076,962,736,209,744,737,782,941,032,109,468,075,993,897,185,585,941,
793,589,492,808,225,478,875,294,917,296,655,917,495,386,423,588,239,920,368,
659,115,069,130,944,233,800,562,795,812,742,850,354,573,553,313,903,411,402,
342,468,541,619,436,852,242,744,668,882,805,010,712,702,836,949,846,378,229,
941,378,682,012,701,246,397,444,735,635,404,765,297,723,731,317,360,461,252,
444,957,377,077,957,448,186,077,620,803,765,379,110,278,421,327,344,618,017,
988,540,342,724,922,760,991,776,903,534,334,742,653,733,041,718,497,832,262,
355,134,761,199,658,947,945,732,907,370,445,170,519,886,679,992,718,657,750,
316,286,934,402,568,685,549,590,406,946,465,477,976,629,349,946,574,678,455,
364,415,339,726,025,002,241,765,518,327,587,186,541,722,678,257,618,383,476,
379,076,877,846,204,398,916,691,019,141,030,633,712,463,611,341,433,246,506,
000,571,670,524,737,314,328,120,674,923,339,615,533,836,797,154,101,896,578,
423,102,975,155,379,740,228,315,446,925,429,488,877,320,493,406,088,662,104,
437,364,292,256,621,701,861,822,529,952,267,373,632,014,128,122,409,752,505,
857,805,160,668,278,990,135,327,344,237,080,020,177,849,041,894,000,808,373,
634,893,195,889,077,780,365,685,104,783,280,917,036,817,323,231,021,645,284,
263,794,246,999,499,376,443,561,230,865,917,968,344,748,447,628,129,386,855,
373,277,922,816,141,512,866,063,306,089,727,700,595,822,375,149,460,294,665,
904,849,351,086,215,196,592,577,395,451,307,792,995,185,908,131,346,752,106,
933,038,302,603,717,776,398,374,893,906,118,790,668,875,603,566,897,175,729,
033,486,477,826,562,951,745,632,218,397,482,749,635,195,400,196,193,519,841,
788,650,207,476,993,344,269,899,456,724,654,898,133,063,068,364,453,660,632,
372,141,115,957,292,702,710,423,607,171,870,770,210,723,040,245,363,970,432,
141,086,669,655,289,167,875,800,435,705,777,045,317,439,387,077,057,436,972,
801,786,261,893,879,897,723,795,380,665,399,729,467,364,598,943,372,860,243,
685,167,538,686,861,322,592,326,982,768,035,967,673,279,368,378,484,131,012,
056,467,631,030,640,147,783,519,342,150,306,476,481,706,850,132,732,199,340,
176,441,263,429,483,438,865,778,122,812,790,640,233,167,430,191,842,198,269,
480,159,109,163,426,729,909,779,497,812,846,263,816,701,874,649,211,257,265,
942,601,364,141,743,486,087,034,858,722,612,382,750,437,874,777,580,870,638,
947,784,823,365,895,404,077,265,337,960,472,676,379,363,957,205,197,762,964,
448,672,664,966,069,586,937,776,590,878,142,877,199,648,362,601,278,279,290,
423,251,668,736,830,324,150,162,000,338,681,652,847,533,097,088,168,836,798,
085,800,032,478,894,003,076,766,831,050,848,983,421,691,499,784,825,039,604,
149,985,229,681,612,173,880,610,460,224,172,695,513,379,153,068,255,609,738,
722,392,559,231,991,564,113,744,055,796,022,511,900,233,499,069,040,905,374,
654,416,727,400,040,748,272,922,926,694,174,332,307,971,030,054,065,555,388,
340,189,697,381,044,193,602,612,222,937,540,567,356,486,353,635,713,817,250,
932,434,967,324,873,456,467,866,257,580,257,154,031,407,335,859,158,600,285,
141,820,500,096,505,324,648,794,532,913,902,933,296,730,199,912,202,304,973,
865,911,231,542,227,261,488,565,649,085,845,180,544,349,438,430,872,616,193,
335,892,815,602,948,108,843,374,944,306,458,128,389,231,521,224,263,528,859,
516,173,725,520,852,504,075,156,545,122,078,840,278,050,327,822,128,650,100,
307,519,752,214,486,050,235,433,025,514,262,361,542,327,553,093,536,762,692,
747,496,484,305,961,226,872,853,762,339,813,426,642,579,877,524,052,524,575,
653,698,260,853,429,107,768,441,190,244,437,824,561,337,310,830,450,293,747,
756,492,175,851,393,033,367,490,607,946,516,397,236,498,116,244,515,815,140,
133,272,179,616,272,994,829,496,160,879,329,248,851,756,652,756,220,828,847,
795,331,607,498,939,632,129,167,852,275,960,965,988,614,591,271,653,506,125,
171,319,487,054,159,310,482,739,665,775,338,270,881,194,623,512,869,019,012,
992,656,501,296,609,493,785,105,317,749,393,604,125,537,037,523,266,418,098,
687,251,140,061,408,600,815,433,615,040,552,174,364,766,532,601,086,709,953,
410,527,808,775,308,270,394,007,917,703,227,949,636,770,966,929,110,569,380,
431,377,886,081,711,830,709,663,403,015,720,046,490,324,435,258,405,082,647,
659,916,934,725,148,082,085,789,253,131,555,833,751,934,274,364,962,990,784,
150,245,787,931,411,061,501,924,303,031,932,231,152,527,736,436,802,704,360,
024,408,105,282,362,924,191,583,105,024,043,957,922,256,313,441,016,751,872,
884,393,572,600,348,008,457,597,724,263,713,885,387,704,647,483,643,905,247,
100,993,492,337,892,627,604,871,080,283,966,282,787,295,188,695,785,771,379,
847,914,822,220,660,538,568,570,249,834,916,286,095,119,808,233,944,965,268,
119,887,309,998,414,805,446,204,589,370,021,783,392,402,136,490,652,742,617,
443,963,990,545,616,001,399,469,068,310,415,488,434,811,833,151,049,658,128,
766,140,700,303,877,454,204,476,677,047,010,714,210,716,710,601,293,778,776,
816,020,547,306,731,736,186,948,384,876,836,203,043,857,886,917,719,151,319,
940,735,622,151,863,452,479,222,142,301,794,752,221,706,735,889,532,074,916,
471,228,109,115,798,094,336,505,556,396,413,685,901,380,583,706,621,806,028,
931,277,710,478,188,723,138,819,547,143,125,046,011,040,158,289,890,393,664,
855,464,003,442,566,147,566,586,429,925,216,325,583,606,341,833,188,624,278,
757,517,728,105,179,251,989,317,396,054,364,823,977,811,562,575,613,703,812,
841,436,718,572,949,601,123,386,746,897,548,388,598,402,721,417,500,077,983,
108,352,074,600,986,705,448,419,010,737,373,414,855,419,418,636,000,926,520,
072,306,710,684,934,192,358,613,380,181,111,487,797,676,613,048,169,647,532,
936,983,328,519,102,103,215,189,729,493,500,599,406,075,829,323,870,044,619,
415,433,475,408,929,044,527,310,230,236,439,911,823,660,043,157,282,028,087,
509,295,108,718,754,897,067,605,152,962,373,733,465,762,383,093,173,853,082,
129,760,981,028,244,264,265,213,398,526,994,410,674,115,605,036,539,545,586,
070,521,171,363,904,541,405,176,304,572,413,606,369,870,160,085,223,323,639,
524,165,242,589,662,840,392,192,946,889,969,416,722,403,201,662,439,042,234,
081,441,004,343,677,683,486,302,492,376,225,757,274,773,337,937,292,556,798,
897,561,872,243,310,076,164,852,911,115,610,408,786,470,977,303,361,174,276,
224,961,141,083,927,262,091,070,039,086,116,697,324,724,233,406,915,169,268,
359,105,634,181,300,092,353,422,042,239,738,308,064,584,880,522,551,235,747,
889,683,955,916,248,110,954,466,136,127,674,321,211,629,737,106,690,069,290,
926,230,036,362,468,490,971,668,755,797,756,447,232,016,477,168,468,034,063,
918,531,967,506,954,703,942,376,560,146,573,504,914,123,266,421,113,190,750,
284,084,568,410,747,577,861,906,544,851,252,265,182,148,149,038,213,690,651,
329,294,897,050,957,402,866,006,054,323,053,981,731,960,872,638,999,292,962,
028,468,839,002,242,524,551,803,579,442,117,079,481,038,616,949,857,313,413,
546,254,107,817,631,129,261,214,371,703,904,305,521,342,567,585,180,188,928,
878,952,849,273,939,733,717,601,994,320,682,055,978,741,176,909,797,922,139,
909,186,670,359,780,479,753,023,462,751,961,107,365,819,007,292,671,627,135,
903,482,487,068,106,399,240,342,870,206,107,941,562,877,696,736,772,651,992,
046,700,362,133,864,422,276,081,762,833,287,895,872,411,908,730,182,550,164,
580,952,523,873,133,273,602,608,872,468,242,394,956,654,448,245,750,261,612,
132,784,481,136,978,916,012,099,757,138,589,773,656,248,755,532,845,059,356,
182,276,973,514,779,456,166,182,224,494,541,072,444,776,283,182,877,154,596,
914,898,444,390,931,646,214,284,205,484,484,918,432,806,405,780,066,292,398,
737,525,486,892,503,808,017,729,390,459,172,767,030,060,671,867,677,295,832,
813,611,800,178,955,771,270,431,590,357,238,177,292,179,641,330,768,985,440,
086,713,015,509,551,071,222,706,090,717,302,289,592,788,053,346,516,958,486,
432,134,662,419,534,189,146,604,746,826,436,380,352,023,447,051,700,721,414,
097,831,002,892,842,901,708,051,736,804,955,975,832,442,063,807,554,799,064,
569,477,052,326,867,741,307,108,413,946,085,074,825,889,780,715,032,155,933,
750,593,941,382,768,363,715,646,776,156,476,584,032,825,639,397,683,775,541,
504,925,738,289,491,356,143,896,828,015,370,881,120,146,655,758,352,464,422,
353,845,599,486,093,620,402,170,462,901,459,037,672,331,934,766,851,360,970,
295,101,030,994,798,277,623,845,085,452,619,384,754,777,191,022,071,332,223,
914,138,604,564,925,522,802,007,258,982,445,532,378,106,430,716,653,934,932,
738,340,143,962,775,732,797,778,485,013,032,430,572,175,934,550,095,207,552,
904,682,559,303,512,832,442,028,849,548,647,343,199,078,472,174,350,644,855,
141,681,180,225,259,030,898,232,489,132,039,388,507,556,445,172,915,658,212,
889,043,386,769,217,519,566,346,111,097,609,258,672,794,626,324,449,564,896,
112,708,694,412,804,839,370,663,577,477,592,525,505,771,881,124,922,851,652,
536,819,437,441,421,131,494,768,745,828,945,170,054,901,797,913,303,624,810,
991,684,597,399,144,246,289,024,119,446,390,032,061,579,961,437,153,562,469,
373,015,888,323,357,549,049,058,824,317,659,173,124,405,562,014,440,863,909,
289,979,625,112,531,889,513,649,122,609,642,484,237,818,448,536,221,426,849,
990,302,283,528,924,364,604,101,438,221,380,028,327,766,481,781,222,999,544,
895,686,893,488,263,264,632,701,385,533,013,485,007,772,761,829,536,483,471,
921,282,961,244,072,841,208,532,494,832,949,744,541,242,652,973,308,850,084,
175,381,459,898,011,226,576,005,838,077,980,318,191,496,895,656,061,647,003,
828,256,416,252,533,178,528,676,058,163,900,316,459,150,678,344,689,129,875,
695,283,083,414,397,466,238,699,542,633,734,596,583,007,047,497,324,035,963,
007,244,769,715,352,417,904,077,936,964,823,511,855,191,023,597,142,550,321,
549,457,144,644,411,031,373,327,217,049,820,461,347,597,927,818,760,751,713,
538,544,607,431,089,676,296,057,481,771,917,309,491,382,471,738,147,685,763,
068,806,808,799,614,640,079,570,912,859,430,553,172,217,867,741,009,141,200,
038,218,044,811,215,110,222,568,819,687,259,495,786,360,463,707,483,565,371,
307,040,384,079,004,196,025,579,371,463,513,961,291,153,588,073,897,951,142,
462,413,769,002,166,472,167,618,221,205,591,995,293,281,743,743,790,616,960,
221,160,695,945,639,486,317,181,431,670,866,236,754,952,157,500,756,349,872,
371,829,470,298,303,678,738,687,137,779,503,470,067,530,124,897,907,137,607,
207,491,335,595,611,661,669,692,432,137,243,282,864,176,349,964,379,215,932,
360,563,483,587,345,676,963,245,147,190,597,383,903,329,220,120,151,982,555,
927,597,334,268,442,685,319,225,919,051,191,594,114,412,352,397,889,018,134,
295,791,409,041,379,532,204,025,149,837,148,126,802,518,603,370,923,168,317,
129,235,252,025,292,372,940,678,939,170,705,009,032,971,128,909,130,408,722,
606,114,917,615,976,388,842,405,830,165,810,454,413,090,517,763,558,836,071,
607,326,707,510,965,193,700,360,561,359,458,049,198,389,905,406,466,360,958,
239,799,386,405,654,374,251,884,443,946,566,381,389,019,734,615,246,971,227,
317,605,719,325,908,881,729,504,284,934,100,810,270,086,318,437,246,287,634,
259,979,516,298,798,058,582,497,063,557,639,571,645,592,168,985,159,655,471,
610,221,012,014,114,891,877,368,486,209,708,987,811,192,042,175,344,121,325,
452,474,002,658,005,058,295,744,031,374,928,423,588,750,636,382,536,907,369,
473,092,200,422,880,425,147,837,508,340,513,473,394,221,571,322,345,990,556,
403,545,492,818,063,608,973,429,540,149,406,700,463,414,081,398,771,062,677,
036,264,153,611,949,326,312,855,101,891,949,698,880,909,351,881,384,021,186,
758,546,072,750,688,741,314,464,907,162,836,986,554,231,406,769,429,206,948,
696,683,040,302,330,373,304,433,371,282,921,912,937,203,532,968,282,432,041,
134,300,415,338,733,002,078,248,208,882,694,649,015,705,175,580,046,073,031,
020,540,608,232,030,832,584,875,758,567,983,488,767,023,518,313,827,179,288,
447,111,037,097,747,863,423,909,023,239,623,342,074,343,744,444,555,798,352,
133,144,371,866,038,193,197,551,397,360,593,047,208,353,707,950,870,808,082,
235,655,624,839,879,449,597,898,529,786,509,187,139,201,083,977,143,507,200,
163,619,023,668,724,465,294,660,097,491,908,305,047,459,331,947,688,785,987,
386,583,407,063,131,357,382,887,915,279,229,961,902,363,528,922,332,321,094,
181,615,480,049,569,473,702,057,038,411,249,350,783,327,249,813,363,921,330,
972,905,235,787,372,566,786,151,952,487,113,924,761,692,145,397,053,107,105,
825,823,040,849,937,515,338,670,833,656,361,930,416,695,635,652,321,366,971,
269,997,154,846,497,279,725,037,183,632,896,479,619,902,293,216,994,647,183,
850,291,032,664,250,401,227,596,680,189,038,566,420,462,817,984,398,662,392,
946,303,142,960,981,811,868,017,644,335,792,804,505,641,342,285,145,049,875,
572,050,186,285,960,908,328,617,744,403,625,871,460,918,367,901,465,544,062,
965,587,200,222,767,352,766,922,201,900,655,700,230,501,559,553,262,984,617,
315,461,372,091,698,727,244,781,325,648,467,364,512,255,967,103,726,519,233,
380,689,826,197,058,505,998,547,198,584,575,211,561,793,709,253,437,209,787,
676,538,084,080,376,924,407,364,078,693,461,929,297,025,284,323,287,985,540,
043,388,762,239,023,179,785,858,600,161,506,308,076,723,493,270,560,379,113,
089,862,554,686,458,868,105,876,775,762,612,681,143,002,374,292,504,817,128,
780,385,756,428,060,586,163,590,528,919,420,899,373,813,412,531,771,790,257,
956,513,010,798,194,262,868,411,524,792,584,704,764,351,156,777,615,314,981,
248,111,014,308,418,559,696,806,572,633,683,750,006,965,668,812,798,585,749,
335,071,272,810,994,095,580,802,464,417,330,795,161,602,966,154,852,581,769,
203,400,790,037,117,366,707,095,626,692,639,494,758,420,707,846,859,777,115,
913,463,714,514,328,796,342,309,685,933,616,519,587,703,009,906,543,746,621,
470,063,865,769,265,594,729,067,031,028,871,681,136,007,975,834,250,125,074,
738,732,479,123,291,700,992,394,332,644,793,823,824,591,350,100,978,916,987,
952,972,210,640,649,525,059,026,772,534,100,035,112,709,161,149,798,105,431,
834,178,903,275,110,095,776,066,550,622,095,286,142,726,055,892,748,132,656,
732,269,827,723,499,843,981,667,812,176,778,394,728,752,379,113,995,026,185,
432,592,799,713,194,599,549,256,927,074,728,922,119,229,838,058,199,299,296,
983,537,708,883,334,397,473,023,819,426,992,149,576,170,683,567,072,183,352,
788,816,131,298,030,980,948,409,120,089,748,340,585,634,702,340,913,329,703,
138,888,165,395,175,718,768,686,739,888,672,742,932,402,661,666,599,454,663,
095,312,935,183,536,108,152,024,337,280,517,535,053,159,939,048,417,065,695,
848,300,700,417,240,719,485,359,941,932,791,565,506,800,606,731,150,731,002,
311,662,612,762,115,705,298,079,776,728,937,059,436,631,576,972,430,029,090,
647,581,571,797,004,504,800,862,437,529,029,622,575,745,122,339,387,528,970,
034,317,691,659,651,338,363,876,327,075,782,532,264,624,465,893,643,551,254,
461,310,010,063,903,266,889,890,697,830,795,004,676,221,286,501,047,923,429,
309,958,257,553,055,259,535,577,259,647,012,797,204,509,744,087,591,346,502,
738,101,177,425,451,791,951,710,139,358,965,376,353,242,363,352,151,196,810,
490,870,710,026,338,620,048,878,624,013,683,287,923,698,494,768,737,031,541,
645,935,316,036,470,428,649,323,070,671,523,060,113,171,119,917,642,122,214,
986,824,289,758,088,270,818,673,125,730,458,817,586,167,654,576,605,700,722,
568,994,669,033,868,915,413,307,160,064,884,189,078,537,912,336,354,824,350,
120,413,648,020,166,129,223,918,325,009,524,504,240,640,825,986,949,997,010,
349,562,960,533,991,637,827,032,443,737,037,058,359,461,996,581,378,602,273,
186,076,227,052,656,773,193,007,430,179,726,378,010,182,308,583,601,034,401,
115,747,589,543,684,462,995,744,054,150,196,802,515,548,497,763,878,564,163,
199,521,038,927,813,330,089,616,644,542,686,533,343,540,110,239,400,208,017,
914,879,329,735,238,559,457,668,800,611,246,227,267,123,709,996,924,794,120,
750,310,587,441,859,936,285,283,831,122,344,147,321,228,250,441,717,046,988,
202,220,250,331,272,124,385,813,952,456,273,601,025,513,277,100,159,426,350,
213,125,718,539,209,818,539,468,242,297,431,102,951,865,146,920,505,249,466,
979,798,747,742,456,282,150,891,314,326,953,368,587,028,382,858,036,424,955,
550,705,825,971,532,444,946,837,056,115,926,665,646,432,363,788,663,368,297,
374,127,324,450,025,751,341,847,218,406,976,087,093,276,392,603,796,559,010,
136,573,647,816,149,188,624,984,015,960,577,790,320,994,085,419,722,174,148,
739,399,117,172,466,446,223,576,123,316,311,387,400,794,155,151,519,942,319,
006,884,343,113,072,666,581,770,229,558,370,997,675,929,512,238,684,534,312,
526,361,832,434,063,563,670,825,688,374,952,134,504,790,913,875,283,130,125,
178,673,414,125,552,245,682,800,722,428,762,152,246,049,117,399,328,720,848,
528,984,802,375,190,623,327,507,734,475,640,014,139,869,611,622,097,434,841,
305,506,464,114,172,432,711,831,285,497,059,259,958,737,048,960,294,825,131,
869,825,324,114,510,392,829,520,123,581,603,415,034,470,319,671,460,740,867,
148,452,733,448,279,685,271,142,662,403,187,896,366,361,432,867,943,586,384,
135,396,317,824,534,236,513,248,470,039,287,306,180,387,069,190,002,732,833,
213,480,037,598,401,518,411,885,197,477,715,216,466,779,276,975,978,971,732,
146,416,304,012,803,247,717,951,652,010,236,401,404,144,822,104,254,263,451,
651,090,745,691,141,092,982,987,508,746,347,700,148,900,260,350,771,271,325,
722,002,275,791,150,664,619,636,430,547,498,566,771,463,173,648,215,820,444,
040,813,992,684,196,146,390,541,030,234,008,295,345,177,943,748,643,690,012,
131,618,594,968,566,303,332,589,608,428,881,225,551,388,566,151,894,388,368,
627,571,096,377,985,750,731,986,132,697,799,726,248,601,876,115,415,571,702,
917,792,077,787,944,231,112,883,947,285,582,889,150,329,613,147,608,399,875,
060,440,642,275,265,727,971,820,241,348,253,895,191,070,165,089,681,845,140,
527,477,929,014,503,445,356,285,297,350,663,091,117,816,387,662,895,507,348,
930,655,463,992,576,758,810,350,204,294,205,920,719,319,165,200,353,313,700,
564,316,719,678,958,944,474,268,044,588,418,759,712,451,708,991,886,108,249,
763,851,106,041,720,077,433,433,447,289,099,287,892,244,111,822,826,180,444,
050,418,459,119,360,450,875,607,685,788,797,035,766,604,602,776,077,887,227,
100,985,795,993,129,479,714,299,953,820,657,987,313,987,123,265,834,634,928,
455,927,847,779,196,505,281,891,131,912,568,669,915,978,236,679,114,815,687,
665,432,552,917,241,242,431,324,181,896,014,529,406,988,522,972,906,598,207,
903,919,391,572,254,529,016,717,277,516,018,653,987,894,621,623,957,895,315,
724,845,788,212,042,056,095,877,226,670,986,408,299,889,499,291,908,069,582,
371,380,662,601,099,111,609,117,236,012,719,775,099,830,667,157,324,852,915,
797,437,198,559,409,232,397,596,869,752,488,512,316,843,652,139,491,004,204,
053,006,815,702,231,482,530,427,209,693,599,880,050,039,363,284,724,229,637,
816,404,834,241,238,170,110,436,304,003,772,610,635,858,153,751,500,396,444,
373,272,315,185,509,267,900,412,089,113,743,982,883,285,931,963,005,926,201,
288,856,411,027,052,612,598,294,137,923,570,351,890,166,731,823,568,059,350,
187,616,335,354,189,772,156,375,717,563,760,548,736,733,902,128,954,874,362,
752,177,469,101,621,433,516,295,390,907,419,726,003,599,678,446,554,837,947,
467,094,204,559,580,611,783,621,312,423,035,573,508,245,504,743,223,925,610,
147,125,117,940,406,977,667,473,543,651,117,486,839,904,819,661,035,917,991,
308,827,633,211,842,002,682,919,874,194,848,783,034,381,936,498,444,529,454,
551,382,036,322,003,397,436,668,613,156,983,192,658,520,607,099,251,017,898,
522,423,815,946,700,484,697,886,554,094,541,767,855,966,030,200,287,340,345,
178,748,003,341,120,443,528,348,387,786,888,215,599,259,184,902,502,605,271,
412,034,104,117,688,971,919,527,008,461,434,813,951,615,781,234,596,923,610,
417,095,829,152,853,837,893,874,799,722,486,982,159,585,805,231,304,955,362,
025,054,513,249,451,369,187,515,191,865,440,786,248,250,518,833,013,061,185,
800,753,250,112,737,467,016,945,208,559,642,643,625,776,202,971,754,893,890,
675,451,817,441,394,239,398,642,920,018,872,648,236,725,273,760,243,225,991,
532,149,880,494,812,949,780,489,857,986,761,856,902,267,559,688,978,949,106,
795,811,546,781,411,740,427,444,628,895,595,543,784,241,142,260,060,634,544,
965,245,046,656,373,712,853,376,247,017,493,603,754,475,678,439,024,061,497,
363,716,606,312,444,811,404,854,232,398,979,318,297,102,362,490,532,527,312,
543,611,445,692,907,872,099,901,563,544,733,047,254,077,514,058,438,960,974,
911,313,341,096,595,408,537,757,960,127,743,935,670,665,031,555,184,515,902,
461,952,159,464,654,248,425,540,560,266,578,593,642,091,818,991,181,339,314,
776,156,449,554,090,690,113,512,889,406,013,958,599,713,581,408,762,585,457,
559,709,193,747,034,575,249,574,784,254,149,496,602,308,605,167,576,834,503,
534,305,218,645,530,685,289,433,078,149,501,565,888,196,214,892,396,515,553,
513,261,443,861,415,615,361,383,223,504,882,184,358,597,328,670,496,589,414,
816,478,886,348,925,144,188,790,895,284,108,387,090,520,829,519,896,466,297,
925,344,739,962,684,968,774,047,430,520,269,997,541,397,112,739,088,997,670,
441,799,047,197,597,073,925,764,047,868,292,126,309,384,288,607,630,714,521,
829,555,878,513,252,028,669,370,084,051,565,721,885,227,206,966,081,282,205,
365,304,247,180,106,847,397,139,121,227,901,036,792,366,076,345,240,119,499,
378,937,316,012,860,214,374,748,226,469,719,694,845,540,871,826,258,367,297,
489,253,176,610,933,109,615,733,323,436,107,494,126,689,769,454,328,427,743,
876,457,945,271,148,998,068,513,949,493,778,225,198,647,168,375,802,303,712,
886,338,741,858,386,146,726,428,714,738,262,039,563,380,885,522,548,552,764,
240,440,880,072,825,554,143,720,385,250,693,648,172,796,072,813,570,290,692,
751,224,951,331,063,932,048,256,278,451,217,767,739,797,406,626,842,072,611,
950,669,562,868,137,530,479,932,913,983,125,101,194,516,573,742,796,129,385,
614,676,679,313,215,275,265,555,767,802,191,644,329,125,114,085,173,953,388,
609,369,972,227,810,157,112,512,787,525,690,540,211,102,658,731,510,786,391,
912,289,004,643,839,657,884,623,137,313,409,629,521,971,912,300,135,118,928,
487,696,029,622,215,935,581,070,658,796,700,717,817,702,748,415,781,016,053,
316,907,675,317,449,510,283,386,969,035,636,204,994,491,716,636,334,179,186,
473,394,523,466,519,148,158,745,176,874,208,213,603,847,222,078,714,789,951,
912,601,781,109,942,325,281,556,913,297,532,369,475,706,857,809,869,905,648,
462,171,956,898,379,583,767,248,933,492,575,578,566,751,184,411,379,166,208,
341,011,339,270,874,830,802,530,251,807,733,060,851,788,907,728,658,105,474,
333,645,613,462,847,360,518,164,388,730,889,380,831,864,134,887,430,463,809,
829,041,072,760,667,913,489,895,053,171,086,421,195,684,622,850,128,387,895,
305,694,612,925,784,903,453,419,659,743,916,875,525,185,301,756,057,022,117,
418,343,811,388,377,199,752,947,114,489,599,453,800,375,990,476,738,033,073,
485,163,193,867,760,155,636,357,182,379,529,961,390,387,591,491,465,944,653,
895,285,156,956,505,977,177,903,904,824,724,170,889,807,700,907,844,023,964,
580,123,806,900,088,279,081,178,698,282,080,817,669,042,514,974,061,441,233,
292,440,564,614,549,564,942,708,023,602,562,186,238,365,080,812,569,656,533,
015,415,764,409,082,748,022,104,958,755,615,394,043,042,709,281,076,569,196,
290,171,106,208,049,625,535,576,229,948,005,195,569,527,648,176,420,103,371,
656,106,067,077,305,733,883,477,198,276,428,567,917,561,918,518,020,798,404,
003,329,589,213,972,640,145,373,761,488,841,630,095,988,934,651,197,298,955,
782,152,209,976,444,114,310,711,797,752,062,702,892,955,394,672,279,223,697,
849,247,268,792,676,838,546,160,120,000,308,647,143,027,234,233,245,084,668,
135,901,687,705,527,436,768,256,317,521,322,283,812,784,626,553,367,367,287,
121,683,371,716,266,834,381,995,141,279,246,493,577,627,936,202,813,139,853,
737,408,803,375,437,608,428,250,742,791,321,281,643,221,220,732,846,064,656,
380,013,874,230,866,957,601,147,883,956,309,793,733,991,877,064,725,158,880,
627,225,910,923,796,526,857,260,106,271,804,296,748,977,731,165,786,687,402,
305,047,310,663,763,262,690,323,318,974,082,161,133,836,102,631,513,719,076,
592,451,392,735,007,262,931,309,421,200,344,090,321,441,952,199,596,723,114,
645,656,721,849,908,576,496,145,975,932,100,303,781,558,607,933,153,805,020,
748,671,794,518,303,849,626,774,926,922,762,074,088,900,456,595,415,553,948,
701,570,557,033,334,507,382,103,083,359,626,416,185,548,222,458,645,202,368,
980,679,405,404,316,595,071,984,812,244,761,335,930,421,146,458,608,208,485,
099,499,324,615,517,438,292,180,024,334,119,463,181,527,388,629,538,555,899,
972,894,975,780,903,710,163,196,909,950,582,807,714,591,173,830,959,311,284,
958,355,925,840,451,560,394,936,072,711,189,903,359,648,458,766,528,456,673,
595,852,564,861,676,520,386,141,960,246,932,445,365,716,595,537,565,171,911,
836,684,540,937,570,360,790,784,493,755,225,405,992,493,764,863,311,931,662,
364,713,955,358,509,666,740,818,428,700,544,391,068,780,057,514,241,261,683,
511,147,512,920,928,644,569,591,301,674,528,117,005,120,109,392,383,288,115,
253,884,974,332,675,274,455,604,813,767,887,593,298,512,869,085,906,928,901,
340,692,012,100,530,987,091,063,080,265,928,966,962,321,234,784,092,016,613,
915,110,839,965,483,364,915,787,580,500,890,102,589,052,585,874,000,232,678,
132,916,870,416,401,469,448,064,784,277,426,579,302,301,672,355,618,903,892,
888,828,282,869,567,981,322,242,677,017,788,817,005,415,714,429,500,816,312,
829,714,428,523,989,209,809,549,733,287,327,149,543,730,050,290,245,282,801,
344,738,761,237,776,923,484,624,988,977,937,980,969,662,739,904,068,596,837,
057,193,174,696,188,976,421,953,561,972,749,914,809,098,064,475,343,929,974,
857,176,606,433,291,959,600,474,183,391,838,699,528,225,478,073,868,595,399,
013,189,523,282,293,534,041,107,796,815,201,604,811,028,577,210,021,559,302,
519,845,763,551,133,558,143,266,596,245,772,149,259,624,721,163,710,232,774,
128,176,109,669,380,535,900,731,317,130,635,150,782,060,826,651,037,681,711,
139,797,010,398,506,078,402,699,921,569,042,368,919,734,617,859,453,276,735,
953,089,608,495,801,995,594,520,208,597,851,031,064,970,374,403,263,885,890,
960,760,769,553,193,229,913,117,657,464,417,854,473,405,534,758,092,842,180,
239,718,492,368,136,311,241,565,293,958,834,356,827,644,960,615,055,469,945,
339,982,404,356,193,702,174,340,532,502,047,302,504,003,388,755,725,540,606,
820,081,788,528,385,806,770,010,732,720,161,944,817,049,352,347,910,778,150,
265,366,112,558,395,588,499,741,610,185,316,520,019,636,393,970,474,033,183,
154,797,742,527,529,660,290,622,006,187,464,700,575,831,057,696,929,097,997,
092,606,274,778,130,761,683,922,355,544,534,662,051,292,267,901,474,010,314,
567,009,011,152,070,175,202,704,122,019,509,486,299,690,978,764,417,523,021,
475,464,912,149,530,684,469,422,555,562,078,051,736,647,385,462,507,490,342,
962,880,003,609,812,408,172,724,277,461,237,649,419,433,999,577,730,824,862,
545,486,332,479,051,292,815,523,959,964,963,669,162,035,134,258,500,461,183,
696,184,108,174,860,786,295,043,012,139,590,843,485,552,923,183,543,808,736,
712,864,862,557,726,295,142,354,646,684,257,682,578,635,719,526,713,772,932,
190,974,006,670,970,479,768,860,466,070,677,699,434,230,535,372,799,070,522,
947,001,774,196,242,482,877,545,456,738,111,556,226,757,677,620,002,457,738,
306,839,559,339,455,771,954,059,184,397,161,547,988,227,335,321,139,575,351,
520,079,428,093,570,000,105,866,002,457,383,160,348,979,915,272,643,916,025,
672,113,592,380,009,143,050,847,696,904,091,873,933,373,123,474,590,641,604,
380,416,349,435,479,373,071,565,575,291,018,116,099,001,797,462,148,931,575,
465,931,842,712,516,100,918,216,750,766,017,545,713,158,828,591,433,047,640,
775,877,259,657,516,039,359,201,949,560,836,997,778,544,033,552,499,579,318,
297,043,212,883,427,116,876,484,921,041,106,372,605,155,135,527,488,274,689,
838,929,164,112,636,414,623,358,853,059,679,853,438,555,224,295,920,465,980,
980,084,037,299,145,998,087,103,765,574,136,584,475,506,388,522,048,444,499,
835,202,406,140,656,048,776,571,733,818,479,389,201,962,207,774,439,400,572,
222,289,669,923,455,172,494,510,408,860,279,126,517,199,090,585,238,591,834,
556,744,335,041,236,912,239,563,183,966,101,466,934,558,090,670,088,399,422,
776,306,571,818,242,113,333,412,855,277,846,180,641,661,518,112,385,384,436,
013,184,851,048,961,650,082,297,996,988,045,678,980,924,077,048,777,187,819,
909,210,639,464,583,152,842,693,787,340,299,952,921,809,124,147,926,184,069,
294,971,162,761,311,835,140,967,996,747,892,933,688,413,541,702,847,814,915,
294,164,034,547,081,747,881,625,760,326,823,135,184,587,419,047,236,058,748,
943,591,395,513,805,986,837,317,219,309,705,221,366,320,177,762,413,592,115,
149,128,867,744,403,199,390,454,291,774,402,734,410,749,685,468,336,772,955,
325,267,221,141,863,014,232,487,121,512,664,595,509,225,403,273,301,332,766,
434,180,178,469,527,670,347,426,085,527,963,915,736,944,042,664,543,834,179,
662,637,239,710,363,532,561,208,032,481,204,378,425,249,810,574,137,730,348,
890,112,582,915,740,222,921,485,630,179,393,669,552,410,562,887,841,600,449,
941,341,137,023,873,578,036,096,117,393,667,841,467,278,123,947,895,542,200,
259,414,177,974,502,259,252,565,106,748,579,850,459,225,250,551,701,770,901,
778,842,763,213,325,509,368,253,965,492,346,628,538,508,231,193,501,626,772,
695,011,072,383,094,986,882,973,974,977,000,563,062,094,146,997,536,519,637,
321,830,034,223,967,777,456,630,463,395,837,694,357,342,177,205,389,114,239,
557,820,566,992,940,175,387,484,610,277,106,125,872,024,979,453,473,376,245,
145,487,566,033,680,313,521,374,863,908,029,248,726,729,628,147,665,190,297,
506,606,622,143,006,492,090,214,943,003,239,765,005,874,554,426,783,472,737,
639,532,414,156,829,777,311,833,649,676,848,899,661,081,998,805,281,172,493,
967,537,033,522,152,482,478,117,450,275,417,300,349,938,289,865,275,162,585,
860,539,325,598,122,633,758,698,853,414,095,048,882,406,299,118,699,984,312,
560,308,559,092,672,684,836,502,511,646,048,639,594,605,405,898,704,866,204,
236,940,768,391,654,875,479,146,609,876,512,182,107,658,075,611,197,772,146,
218,131,355,907,619,749,417,024,201,661,077,265,679,845,330,888,435,161,700,
368,614,131,358,797,308,764,033,080,205,093,088,556,079,724,154,799,722,706,
199,912,042,143,633,363,784,682,302,559,543,471,084,766,161,402,500,072,625,
576,622,828,033,334,641,693,692,099,102,466,910,028,981,479,550,572,218,733,
798,605,417,342,175,889,673,740,879,860,514,723,868,570,049,046,073,928,548,
281,568,536,144,059,842,336,791,972,113,994,095,948,731,794,734,102,324,151,
646,796,951,719,071,095,556,158,030,180,129,305,341,251,947,680,360,118,752,
388,623,876,416,415,559,488,830,726,845,099,923,849,334,865,514,761,078,715,
222,174,324,413,945,556,303,299,450,191,098,411,185,673,350,407,545,246,979,
596,642,920,206,727,290,203,483,311,525,731,298,081,497,564,700,374,133,703,
291,781,410,295,825,256,295,904,547,353,733,868,821,691,170,170,341,715,690,
730,777,693,263,525,180,237,986,463,319,227,011,914,257,644,938,522,324,532,
609,874,226,647,455,865,052,620,686,701,417,195,237,452,029,792,688,826,489,
457,530,949,789,748,267,978,710,466,930,549,203,537,989,154,506,136,422,265,
292,602,939,993,920,862,888,974,535,403,153,579,470,141,352,615,483,059,565,
721,583,379,355,033,593,457,320,699,606,544,987,632,966,045,575,248,927,616,
857,839,086,956,948,284,609,460,752,084,295,414,294,083,677,956,045,910,507,
854,356,987,578,746,938,394,242,449,174,403,800,738,855,618,648,583,676,737,
735,840,743,567,819,415,092,801,442,646,736,288,861,883,611,430,504,099,650,
693,253,944,177,398,141,291,711,233,974,159,388,461,995,041,805,653,847,207,
327,063,864,937,330,001,609,980,659,794,063,680,534,246,366,266,066,727,411,
563,424,542,612,155,964,009,353,248,978,983,739,695,758,218,494,258,156,954,
583,315,278,723,736,156,459,980,316,786,294,457,711,445,745,041,804,913,424,
221,095,374,904,068,141,914,985,703,497,654,319,916,973,131,792,836,997,579,
520,128,212,678,286,176,480,482,517,983,571,585,680,647,803,382,984,504,149,
252,870,525,827,101,123,533,696,067,536,126,264,371,034,925,567,517,436,230,
455,048,550,147,875,550,048,991,810,647,335,206,188,318,474,930,956,447,014,
138,741,386,211,898,648,926,261,141,545,755,096,255,779,349,817,281,202,789,
943,742,929,585,524,308,862,057,487,004,279,159,280,836,001,008,859,738,089,
328,927,533,068,677,156,052,220,737,029,749,771,339,421,055,534,918,172,950,
155,075,288,371,033,822,465,974,651,088,381,098,762,103,498,943,071,961,661,
919,983,158,891,201,677,574,871,596,035,851,167,214,759,167,113,959,802,775,
938,630,219,532,221,294,375,938,300,908,974,767,507,712,847,070,064,212,322,
918,193,005,935,208,137,818,343,057,772,614,270,105,885,785,141,871,687,172,
722,852,425,615,848,971,924,075,579,147,562,709,830,054,330,907,589,958,429,
786,545,233,671,391,990,057,165,212,652,804,073,900,027,583,544,408,880,227,
921,173,929,586,602,213,293,724,794,547,604,393,207,697,411,117,712,306,958,
997,122,263,441,563,745,663,108,887,757,773,842,107,506,307,994,963,255,860,
933,551,047,024,053,373,326,871,240,435,248,722,869,282,167,793,177,628,197,
096,731,829,944,931,337,396,706,264,422,213,771,968,611,994,080,801,512,390,
051,303,885,022,167,255,816,333,778,482,750,537,506,802,208,226,446,130,581,
920,265,303,381,822,459,453,159,741,004,746,561,364,246,020,878,681,018,641,
920,735,490,610,958,912,649,094,063,136,061,168,538,945,298,743,230,731,433,
648,618,656,766,850,477,487,261,009,418,875,915,620,790,433,977,040,811,383,
573,506,845,811,928,382,196,638,308,710,677,050,419,713,951,336,532,984,419,
688,933,969,204,532,511,799,581,840,122,017,487,152,590,077,115,329,087,171,
507,559,131,750,809,981,368,880,388,619,921,494,439,988,999,685,376,338,986,
819,798,214,728,170,140,035,378,995,886,302,786,795,534,598,281,357,116,837,
670,912,211,792,413,323,936,812,886,301,316,157,292,960,393,249,361,412,415,
869,703,995,363,307,393,004,975,044,811,716,482,533,194,580,444,653,812,898,
897,181,802,442,630,209,490,055,324,379,701,616,470,339,356,343,887,376,868,
414,515,152,065,425,469,153,642,604,442,612,792,659,340,897,340,170,555,443,
642,874,283,991,422,120,600,889,226,885,993,655,254,013,154,786,614,027,066,
518,448,600,447,482,848,912,512,809,125,229,939,393,027,800,295,840,155,171,
307,308,566,582,368,962,440,005,328,662,251,113,508,971,115,407,064,875,501,
884,595,705,120,158,980,821,302,874,060,279,745,999,636,365,790,661,303,666,
744,727,933,739,064,243,195,685,610,028,321,776,103,362,945,755,581,146,857,
124,724,099,652,202,805,961,008,345,814,761,724,973,676,603,119,222,257,940,
555,453,583,785,030,101,345,640,385,155,838,088,017,852,618,209,235,738,007,
732,209,993,772,109,595,642,860,226,507,472,148,853,997,599,845,884,838,099,
550,933,816,693,284,158,341,723,863,791,327,095,810,789,231,560,381,066,798,
235,045,454,254,848,357,812,078,144,878,842,074,543,671,272,106,026,006,572,
311,836,931,418,578,875,574,649,741,248,428,504,391,748,367,829,112,269,332,
199,393,473,653,946,056,282,762,261,224,135,366,738,178,147,214,114,988,467,
311,186,938,893,457,819,043,454,263,145,448,395,185,174,199,673,612,173,722,
464,651,024,869,144,882,864,681,241,191,431,285,622,565,692,472,202,004,180,
849,015,350,346,764,704,772,676,339,049,286,633,357,607,797,356,861,214,027,
995,376,304,356,407,714,278,148,575,847,801,165,584,128,840,042,243,236,553,
544,011,738,114,428,454,510,738,959,244,937,055,824,626,342,318,570,942,045,
774,808,219,901,542,442,190,709,861,340,860,467,714,827,931,620,819,772,718,
644,660,690,092,637,903,807,685,677,091,092,792,446,049,918,908,805,085,924,
871,248,169,595,887,755,119,598,659,147,834,348,059,790,599,113,485,282,678,
681,262,963,090,179,741,245,451,921,563,052,614,119,981,182,308,009,031,712,
053,336,060,855,333,198,173,763,918,178,657,851,549,580,366,965,567,221,994,
622,005,238,412,767,057,466,893,947,432,487,137,486,492,114,762,474,333,679,
217,609,320,830,708,528,363,550,307,211,871,529,593,222,271,717,123,675,516,
429,120,539,270,899,849,242,150,357,857,660,926,437,400,816,000,339,754,616,
502,154,921,594,975,506,469,518,622,408,304,573,360,963,199,040,615,048,317,
027,674,878,003,970,937,814,122,192,687,497,500,819,403,618,367,585,038,551,
560,139,695,597,108,032,891,611,655,585,353,793,048,320,916,455,417,370,505,
977,714,785,259,979,984,538,024,997,568,395,038,774,825,435,246,419,370,805,
198,820,798,070,848,062,161,856,029,263,044,903,983,894,747,215,407,304,860,
018,323,331,545,788,668,336,264,408,094,074,285,527,942,466,435,804,446,783,
596,649,884,434,881,250,986,700,144,554,729,523,483,248,136,117,662,267,390,
954,774,597,023,341,673,509,949,783,078,708,485,995,573,879,305,211,834,694,
272,597,740,339,177,538,752,861,131,637,615,870,790,578,426,340,399,926,312,
977,866,256,632,778,565,741,275,842,806,317,175,895,174,754,123,030,256,501,
148,696,840,249,678,612,672,718,475,372,949,183,774,675,339,843,991,942,710,
669,977,178,517,627,135,112,824,109,609,156,090,079,230,537,702,810,396,400,
974,016,855,931,030,003,636,386,484,973,335,372,166,334,350,327,309,004,370,
095,626,248,739,945,797,284,906,797,912,636,150,002,301,822,507,065,528,063,
643,277,846,127,488,520,559,988,748,510,994,377,207,025,829,172,038,838,588,
625,667,530,865,777,091,634,111,893,630,157,152,379,880,913,673,957,295,081,
776,488,398,654,201,971,069,211,719,587,227,003,127,368,924,585,004,418,134,
450,208,011,002,541,241,448,169,681,461,049,660,026,098,504,456,175,693,831,
067,663,488,117,532,972,338,200,345,307,622,675,308,708,052,982,818,817,215,
150,813,951,611,059,233,293,528,883,440,754,929,703,027,815,543,279,482,508,
367,521,808,746,014,568,776,604,481,160,567,052,499,740,825,776,490,871,381,
053,458,077,933,958,004,707,470,033,905,459,063,421,975,139,368,058,929,286,
992,805,073,721,345,244,941,622,256,069,738,456,854,761,337,768,964,659,037,
501,586,082,323,236,367,757,419,625,350,104,390,220,009,298,750,518,721,037,
827,890,481,364,542,026,699,309,331,650,326,941,902,994,315,655,989,610,698,
707,941,407,964,159,616,959,490,223,890,403,207,567,239,735,059,638,539,276,
125,750,343,985,552,983,505,814,994,067,257,036,867,565,489,035,040,495,560,
546,364,150,276,976,899,242,093,622,879,221,101,529,287,233,805,844,304,674,
426,078,482,232,862,256,642,689,304,158,003,236,544,800,211,918,758,310,125,
522,874,260,895,051,261,024,692,985,471,582,237,711,544,003,151,766,790,667,
316,805,935,062,872,228,704,549,927,484,537,186,098,479,892,744,094,854,512,
714,548,984,887,236,291,445,581,342,173,808,775,415,940,709,652,650,105,339,
989,121,474,988,475,127,073,931,913,938,378,659,391,233,285,884,241,506,290,
651,831,699,515,134,075,140,855,663,780,581,430,110,599,808,382,274,986,146,
187,544,447,309,739,934,248,824,469,596,480,642,318,364,705,998,747,160,539,
603,710,986,025,830,604,912,180,042,091,833,339,192,600,469,555,385,077,576,
364,940,761,628,738,781,767,639,233,800,680,900,739,178,594,830,709,422,152,
403,686,734,842,650,961,099,357,771,938,393,728,861,356,456,542,972,877,719,
117,583,889,992,162,223,568,976,840,580,232,853,109,051,594,564,526,223,367,
774,335,584,810,507,517,123,669,487,975,954,878,357,649,696,544,685,441,043,
079,834,730,903,058,224,104,780,031,405,963,212,919,126,298,711,096,591,748,
735,812,367,117,075,887,036,380,419,247,529,247,854,600,604,272,059,430,972,
960,632,799,511,374,965,913,583,823,572,849,417,972,639,579,216,709,950,787,
375,876,773,744,553,593,103,427,697,175,774,453,984,812,147,928,625,811,027,
337,545,107,714,329,679,112,396,750,437,055,013,455,685,587,196,085,819,966,
828,749,148,248,159,731,261,684,673,651,508,434,350,911,333,319,413,269,569,
099,492,155,323,323,934,163,687,209,145,798,643,063,959,257,343,696,858,112,
838,763,541,790,446,463,351,741,182,217,225,272,410,878,463,698,896,164,652,
326,241,075,671,709,811,039,646,855,634,597,823,881,703,529,286,042,616,869,
073,948,275,683,868,029,528,245,710,997,252,281,679,854,263,203,118,369,996,
828,937,581,467,807,875,655,138,322,041,839,947,726,651,863,663,420,447,568,
307,911,183,999,949,295,124,471,739,713,140,697,618,355,554,754,048,451,932,
551,613,895,385,157,434,203,623,472,314,190,556,733,372,965,859,593,569,153,
328,991,747,663,618,830,786,432,602,426,663,876,420,357,735,745,862,171,675,
043,606,684,541,544,392,268,736,664,402,665,015,579,687,437,680,729,369,881,
141,670,927,264,368,491,820,614,973,109,989,652,751,384,779,627,733,544,045,
725,788,161,579,604,022,162,615,387,680,634,352,973,318,700,657,153,275,118,
031,748,346,729,137,783,730,518,192,748,328,172,048,891,637,687,851,637,982,
159,024,054,469,382,966,672,523,848,108,873,750,820,541,030,417,245,253,929,
126,857,701,758,531,770,048,521,790,805,288,389,308,339,863,671,138,040,304,
458,924,545,841,966,319,922,497,378,990,103,347,645,894,433,056,709,263,131,
637,303,015,640,132,622,060,716,132,458,759,675,288,168,287,509,559,467,891,
687,381,577,495,073,259,381,297,165,585,009,321,969,679,099,716,271,794,362,
252,471,782,430,033,295,774,005,380,113,886,026,970,239,038,864,334,899,725,
984,300,665,620,958,228,477,231,333,228,980,949,359,790,768,593,969,913,166,
451,194,568,077,968,885,734,655,126,034,606,277,815,213,304,688,650,482,471,
183,397,855,957,449,582,408,935,652,818,928,264,212,711,300,022,833,755,371,
240,923,390,943,403,674,767,136,750,213,316,304,716,405,799,807,957,786,570,
796,728,520,724,854,719,861,723,025,105,505,942,382,569,995,103,406,918,005,
950,678,355,015,554,675,125,164,551,179,397,714,261,855,530,149,262,757,844,
997,154,243,313,257,119,059,325,268,520,184,517,772,958,730,027,613,103,378,
293,764,150,787,529,310,687,418,872,316,755,401,006,993,360,728,238,670,252,
290,379,127,324,515,166,562,864,685,336,410,120,764,567,458,155,703,312,479,
301,598,362,204,811,190,628,140,470,471,878,972,066,798,920,326,739,099,157,
539,134,057,842,326,670,145,191,903,674,164,628,567,839,090,073,169,692,227,
645,055,557,476,611,959,292,819,906,594,140,937,690,190,457,739,981,284,792,
128,469,605,756,631,627,309,563,938,767,930,532,072,243,004,392,311,902,049,
647,289,927,287,621,506,414,482,114,254,001,506,484,839,204,360,672,996,065,
094,399,596,108,700,277,175,085,408,525,964,391,550,661,520,340,762,795,740,
852,448,591,180,805,452,202,595,066,544,249,771,822,487,468,504,247,117,542,
658,876,916,723,882,825,288,918,468,274,337,512,556,173,464,722,762,781,315,
061,114,750,125,071,928,432,003,203,679,946,972,078,519,502,116,569,928,733,
382,935,400,470,899,710,862,103,448,507,953,122,535,976,749,174,187,931,277,
690,101,570,944,319,894,327,183,410,886,877,466,953,379,792,285,529,104,454,
963,787,778,769,937,852,176,925,529,902,625,481,849,233,269,609,468,916,123,
451,969,992,888,895,760,393,972,174,892,629,454,498,408,297,505,650,846,926,
442,690,215,833,521,865,605,260,629,293,851,111,792,821,607,399,541,560,439,
206,671,614,950,115,800,408,150,680,920,689,040,398,782,386,976,887,678,196,
206,389,614,968,193,058,565,494,834,517,527,395,979,377,513,886,796,661,017,
764,769,903,402,901,445,786,229,902,406,551,320,785,618,969,697,498,073,608,
142,489,626,078,871,253,538,375,985,463,136,005,010,633,952,012,588,572,390,
835,913,281,497,818,845,203,392,160,799,325,731,695,317,152,699,237,961,160,
971,607,792,162,600,130,889,419,185,164,954,201,650,463,058,402,277,229,671,
440,953,492,500,946,049,335,767,767,570,223,943,240,130,199,133,750,165,933,
800,179,314,156,069,183,163,960,712,798,653,485,884,506,977,690,457,583,376,
506,226,811,313,689,421,667,972,052,834,863,289,098,687,919,687,089,374,555,
601,464,995,976,102,794,952,726,332,770,267,570,087,885,045,184,042,629,216,
696,905,825,636,876,909,324,919,538,393,454,070,764,235,386,087,305,493,968,
280,765,323,197,781,167,792,898,590,529,716,814,316,039,029,536,553,444,285,
819,647,952,240,103,512,168,152,095,381,946,277,372,282,342,003,968,150,329,
090,354,762,332,737,495,849,173,523,803,851,695,236,400,654,987,648,413,767,
518,710,492,531,702,010,108,765,922,467,829,167,459,964,509,421,971,639,800,
840,740,618,834,573,718,464,688,552,671,978,206,343,325,640,143,770,772,061,
653,413,024,992,631,191,995,199,589,120,937,113,890,150,573,688,231,102,448,
339,064,882,433,692,434,897,359,609,566,938,304,450,030,587,974,426,190,108,
281,534,834,679,189,425,452,728,483,840,826,809,262,409,818,339,338,766,686,
442,852,519,942,575,877,430,034,200,984,228,048,229,142,494,633,507,576,920,
609,077,247,228,614,607,906,055,216,346,686,551,908,192,191,951,513,920,351,
204,620,926,736,158,203,817,194,245,809,123,488,842,529,843,285,649,601,894,
602,715,793,315,108,288,379,762,641,082,304,362,462,900,932,872,211,039,643,
087,350,079,746,359,762,187,832,233,597,038,730,852,938,921,724,228,859,056,
378,148,157,593,579,821,245,600,367,456,674,961,915,678,451,923,591,490,729,
850,676,803,349,884,988,405,250,363,776,783,807,773,102,770,563,891,209,726,
239,140,812,941,432,426,797,159,250,146,953,116,601,518,653,419,778,391,966,
096,917,933,959,427,903,661,706,698,948,744,741,052,674,565,865,484,961,682,
745,914,556,115,980,595,658,916,755,701,592,982,889,663,315,897,011,942,225,
047,494,740,167,220,011,108,013,697,032,355,037,115,522,062,948,582,014,152,
699,899,285,036,428,647,943,540,495,635,653,674,127,525,479,429,683,526,287,
461,768,934,576,178,872,676,615,655,110,333,900,059,803,984,723,779,776,507,
168,152,860,930,591,692,095,819,396,976,954,198,724,525,461,370,536,783,202,
772,481,594,439,937,340,352,938,532,622,923,543,701,507,580,959,994,246,843,
090,138,564,486,790,306,650,766,132,450,942,890,609,025,512,590,887,224,389,
982,567,504,013,383,689,386,445,706,435,460,630,220,719,846,573,709,709,976,
882,904,567,054,975,365,759,482,389,235,521,949,246,436,973,332,263,486,992,
824,803,703,698,682,727,463,083,538,278,604,702,169,468,684,745,978,870,703,
931,291,545,279,463,580,217,586,621,327,568,507,430,659,598,347,927,334,024,
010,682,075,234,652,331,142,668,953,614,231,035,017,998,843,310,566,607,469,
283,221,042,065,881,355,308,577,106,253,998,846,845,633,625,285,241,506,831,
762,574,831,186,541,526,804,615,415,940,369,435,134,663,747,092,548,529,397,
044,071,161,735,596,408,905,846,872,087,769,855,548,865,175,152,131,343,028,
300,663,238,125,016,662,360,465,733,190,672,035,626,705,725,293,785,897,716,
476,445,845,429,849,249,402,167,749,824,539,769,541,783,530,329,052,539,348,
566,617,225,892,168,263,660,601,935,212,216,306,902,622,297,346,288,021,783,
192,745,243,582,020,207,584,931,780,625,027,896,734,380,443,879,107,274,902,
930,167,292,061,017,846,816,110,726,438,146,576,727,429,223,716,557,772,917,
082,803,136,151,898,205,491,205,752,967,122,446,006,560,907,961,010,298,265,
056,877,572,906,440,290,963,579,462,611,111,743,959,823,386,030,826,631,222,
532,289,458,162,397,351,790,106,294,304,082,691,894,123,481,283,080,467,124,
736,497,730,904,660,575,892,449,436,135,104,388,399,634,786,828,216,622,063,
823,078,787,201,066,941,717,493,536,919,417,609,613,152,568,672,646,081,846,
249,589,160,993,063,028,198,304,161,960,638,501,932,733,452,420,101,802,670,
300,591,321,006,620,630,017,703,931,617,728,342,098,096,051,042,099,028,814,
619,183,532,985,204,281,344,263,471,400,212,656,392,648,033,383,398,397,384,
995,102,698,049,804,966,593,392,573,221,287,615,872,887,623,145,980,011,471,
219,836,167,742,578,490,089,937,771,276,416,843,857,003,243,917,196,566,913,
950,904,176,689,212,650,830,635,155,513,798,447,682,424,981,354,208,082,785,
895,177,302,753,789,197,796,827,775,376,160,755,219,247,530,363,958,328,475,
421,274,584,723,948,842,396,313,358,966,660,907,522,297,758,957,480,902,517,
588,192,753,350,377,455,790,992,087,873,655,580,741,458,676,556,445,678,432,
020,629,328,919,253,282,280,938,161,238,180,912,890,873,789,230,188,549,048,
316,241,327,648,516,686,158,354,433,091,373,030,783,495,363,010,435,825,881,
141,718,249,249,804,374,304,887,696,663,587,007,191,513,373,637,556,287,116,
220,947,055,121,237,012,437,477,931,549,117,042,562,516,720,761,996,462,530,
613,053,212,337,907,176,825,854,648,881,307,511,369,344,906,779,017,827,200,
464,872,082,936,641,694,184,675,187,510,601,241,122,754,166,580,684,587,253,
858,748,389,427,752,357,930,136,536,036,159,537,572,675,399,857,123,633,565,
580,668,487,172,282,959,664,456,066,472,877,540,904,087,705,031,524,491,179,
332,667,186,510,213,262,593,130,095,511,321,018,311,925,723,079,537,166,657,
989,345,302,100,684,327,486,801,334,822,366,399,942,023,509,053,961,458,360,
626,530,997,389,482,158,422,179,723,379,564,142,424,706,860,257,092,589,182,
121,742,046,747,515,057,687,758,843,444,284,094,187,269,353,808,664,069,030,
337,092,166,174,712,072,115,034,893,965,523,502,549,629,244,627,899,414,303,
886,815,566,593,772,719,935,318,448,380,305,703,274,363,958,327,305,754,996,
460,593,712,559,206,152,909,738,735,445,875,135,177,243,365,418,482,960,058,
451,347,368,999,229,748,859,251,961,791,386,172,540,360,342,911,919,095,830,
083,877,196,870,354,005,451,413,890,420,950,190,093,948,452,619,749,375,356,
833,642,858,119,437,593,482,969,296,002,031,417,079,939,813,266,143,898,577,
268,489,876,464,180,563,156,341,009,815,147,047,387,109,590,804,324,931,762,
996,044,474,692,132,404,623,925,994,439,218,244,815,827,175,697,994,071,407,
991,419,197,764,570,896,665,061,666,441,029,115,486,821,495,085,718,774,995,
525,094,104,378,286,278,884,808,984,575,513,851,045,942,853,385,245,476,274,
435,751,955,400,944,410,155,429,363,976,552,004,815,852,087,609,140,151,685,
382,234,635,987,693,351,316,667,684,510,237,523,163,660,703,665,124,494,681,
239,765,986,213,715,851,871,123,948,081,382,017,767,576,728,358,370,748,009,
022,181,734,813,784,392,323,686,166,243,118,191,905,842,084,938,896,267,073,
828,515,559,968,315,374,108,187,469,801,380,676,907,300,529,627,257,677,280,
396,656,240,241,842,820,459,113,778,075,218,169,452,457,635,132,252,259,784,
586,749,001,322,752,133,924,570,908,406,542,639,694,255,549,865,310,449,835,
763,745,478,002,580,819,749,173,868,500,779,317,802,165,049,415,369,128,597,
812,900,923,899,861,800,271,080,306,004,321,830,073,725,207,297,867,220,199,
162,676,202,087,933,669,356,036,913,612,966,421,023,957,739,235,856,315,142,
565,617,007,641,633,328,945,663,240,835,217,238,815,339,312,253,167,805,844,
768,370,599,355,241,589,679,299,534,834,711,472,997,649,834,180,853,707,448,
596,832,686,278,933,683,532,732,194,404,026,959,156,409,928,685,431,105,825,
940,796,109,248,644,724,432,199,430,746,343,396,191,489,253,791,277,117,010,
089,103,107,252,630,372,415,933,186,573,086,739,337,526,270,915,317,388,985,
826,241,128,826,371,682,959,338,951,392,123,325,195,317,250,776,984,067,908,
999,769,994,838,045,943,522,679,631,478,434,217,078,318,914,253,585,243,065,
919,018,000,053,301,086,916,988,163,405,784,464,779,374,851,051,999,766,687,
078,693,377,398,501,810,707,861,483,234,246,724,157,471,207,426,977,839,376,
239,244,117,423,779,257,686,965,493,241,899,236,301,973,946,290,199,860,319,
482,298,142,699,661,319,951,838,946,888,995,267,210,817,769,058,503,105,248,
061,429,260,353,102,303,868,692,751,234,482,444,774,761,123,110,026,294,008,
862,354,307,777,786,024,942,026,138,069,062,210,943,422,483,920,472,379,309,
130,142,309,126,330,383,722,951,837,899,837,037,482,465,535,606,519,603,875,
049,404,485,493,482,276,949,329,637,490,754,067,889,871,731,490,844,873,611,
498,832,334,741,474,803,866,054,295,845,366,669,628,588,759,041,938,502,648,
444,558,933,733,964,116,595,578,783,737,247,822,287,943,811,921,261,518,563,
138,530,539,520,291,830,881,947,298,286,316,908,871,755,761,212,855,469,420,
546,263,344,877,991,219,356,992,289,870,111,471,588,279,335,793,090,706,599,
555,191,570,080,013,864,186,655,384,084,512,847,370,076,792,042,094,946,809,
789,862,391,876,594,505,894,742,081,218,174,795,531,657,743,509,486,013,568,
042,412,215,453,492,330,798,369,714,198,363,847,195,178,457,735,927,690,222,
752,545,173,241,302,680,571,291,768,918,055,527,390,439,595,766,185,829,905,
607,831,099,942,258,185,723,741,066,082,984,161,246,029,058,474,887,938,472,
744,768,873,444,218,589,059,526,745,360,626,249,620,435,914,084,670,187,754,
613,879,253,307,749,187,641,388,452,018,734,533,232,257,781,569,985,179,146,
925,913,286,318,279,048,772,351,266,743,256,329,372,368,160,238,315,283,408,
594,786,819,634,191,618,809,555,812,736,877,815,812,300,974,099,657,722,875,
792,959,947,667,595,444,585,428,253,035,006,497,071,489,684,563,116,881,276,
373,637,817,769,006,080,713,205,814,104,798,637,797,330,410,013,413,986,384,
060,472,155,126,064,776,816,071,423,295,849,347,059,371,908,280,930,944,385,
339,061,954,577,407,907,323,154,898,660,659,556,893,050,152,479,675,443,518,
342,128,321,454,869,682,478,978,075,950,745,632,403,436,048,585,497,468,950,
710,404,296,395,986,882,342,636,205,930,150,534,374,139,918,672,961,310,553,
121,682,765,712,747,430,666,264,442,307,418,149,765,622,407,224,478,435,745,
921,825,195,811,193,835,904,470,771,794,589,792,019,097,044,187,105,984,143,
945,717,243,078,560,538,731,290,005,734,074,480,480,250,460,562,788,949,932,
971,490,643,969,383,682,461,368,942,876,490,382,959,078,771,325,998,499,834,
241,284,684,267,485,609,556,050,774,985,538,202,510,809,279,052,020,648,042,
898,878,062,933,021,373,821,988,690,854,349,399,914,823,983,472,902,406,295,
971,863,398,115,386,614,620,493,592,021,375,181,141,750,294,875,988,590,324,
857,554,422,203,047,105,644,691,274,887,979,567,068,014,231,625,897,037,525,
917,305,669,564,462,677,852,538,075,190,126,082,742,767,473,216,182,945,006,
146,725,708,360,389,580,172,165,411,971,057,850,956,130,645,163,771,947,117,
179,746,184,178,873,086,868,137,353,187,134,809,951,097,183,617,632,570,019,
783,801,236,315,231,186,587,145,352,377,276,952,193,485,647,837,765,835,137,
589,875,533,387,180,233,892,690,806,296,544,437,941,175,083,785,111,569,019,
450,988,641,039,665,571,322,541,889,284,578,290,899,514,644,469,937,972,299,
810,488,740,716,843,506,424,294,693,689,765,968,889,321,999,942,471,790,442,
272,512,193,855,928,811,992,945,572,260,997,901,048,721,525,892,406,655,140,
490,408,386,006,539,424,584,675,041,430,168,687,150,340,487,079,222,071,973,
044,544,956,705,322,641,410,008,275,194,696,272,320,551,153,515,210,283,601,
251,456,669,937,658,327,596,534,607,371,709,416,444,718,865,091,725,664,053,
711,982,969,063,008,105,565,936,003,466,723,337,691,851,469,049,972,093,655,
851,637,923,906,766,566,017,356,192,295,055,003,923,140,190,070,988,303,563,
948,432,723,695,108,799,572,258,589,550,166,122,635,048,321,421,481,475,473,
429,597,803,813,493,712,890,940,206,958,768,020,830,988,435,969,002,381,318,
633,604,189,403,100,312,107,232,357,249,763,610,677,384,032,878,824,945,424,
625,672,005,221,194,556,193,799,115,981,162,767,745,167,220,820,185,451,215,
591,804,095,290,070,175,364,755,577,211,776,572,494,431,001,248,987,072,624,
018,880,741,664,791,278,039,587,839,735,978,676,201,253,087,619,685,649,241,
026,440,412,049,575,841,870,433,287,532,474,780,651,924,623,916,354,014,442,
702,308,369,526,734,131,279,704,796,324,820,832,977,679,306,178,951,920,570,
980,673,410,444,213,730,432,474,295,262,985,538,728,469,187,089,412,607,044,
119,998,609,836,332,816,759,894,071,550,916,974,616,922,149,239,773,057,870,
339,506,536,168,543,234,442,108,146,664,542,886,052,529,904,344,367,312,624,
976,705,372,942,613,721,934,329,113,539,128,076,964,352,386,481,494,545,371,
982,865,027,794,921,165,729,451,000,101,463,863,205,108,149,583,370,470,047,
360,373,464,041,912,224,144,984,784,918,304,734,252,088,823,552,914,783,516,
316,469,717,283,030,674,031,243,305,631,390,174,224,240,632,570,495,034,540,
138,610,597,631,166,273,367,878,747,994,434,851,876,162,073,400,642,142,389,
213,949,964,767,803,733,651,440,301,775,992,937,921,332,984,199,846,498,337,
154,775,620,139,725,324,294,860,485,773,000,625,674,971,969,237,481,198,297,
840,965,420,025,909,957,854,868,107,262,360,144,725,687,374,605,479,850,482,
357,482,444,620,766,458,210,998,074,414,584,205,965,817,703,727,264,169,018,
283,670,394,460,112,507,791,610,490,519,348,722,313,604,054,281,916,768,147,
302,366,757,679,986,764,117,004,170,071,329,751,404,866,479,140,445,971,847,
554,254,421,402,279,443,212,119,974,576,245,884,207,861,276,441,972,070,948,
490,481,190,274,483,718,876,717,966,784,238,028,951,817,835,866,846,130,222,
818,878,998,756,953,821,683,562,009,349,973,341,061,105,920,326,762,010,863,
829,887,731,699,117,778,995,929,607,998,389,068,560,609,154,355,002,440,892,
477,438,963,979,572,280,700,025,990,027,166,961,952,599,726,633,698,686,322,
210,142,341,196,561,945,735,499,622,882,987,369,574,383,406,383,190,811,194,
763,193,370,304,221,942,318,590,448,466,294,936,357,062,037,511,625,830,953,
474,456,803,684,717,643,318,163,598,149,685,920,668,509,268,446,784,889,537,
976,845,584,684,693,293,261,093,414,591,263,485,956,864,590,110,496,391,303,
311,862,449,444,399,656,579,581,181,517,776,686,920,008,766,485,572,572,636,
954,932,571,056,873,907,004,287,975,351,177,481,269,359,785,553,681,475,991,
977,115,586,264,674,964,784,133,466,241,542,834,885,730,450,818,800,226,108,
978,881,384,349,439,848,658,406,258,410,699,934,309,020,821,147,110,572,912,
146,162,231,039,170,237,440,369,253,281,766,779,845,730,632,968,698,946,283,
764,876,143,113,528,404,295,897,476,742,858,826,038,927,780,334,223,686,394,
476,166,353,227,246,437,645,444,943,217,482,089,252,186,895,792,364,991,771,
049,343,701,035,353,466,560,542,429,195,835,791,905,996,900,809,016,612,118,
599,408,909,631,729,814,974,457,931,640,077,260,966,438,439,388,558,118,099,
510,198,656,460,841,959,373,494,572,343,323,271,361,787,804,294,216,032,751,
961,354,960,170,398,019,537,509,353,281,254,993,678,886,333,418,667,736,327,
379,798,826,060,345,245,624,126,795,936,144,885,823,883,324,758,887,870,816,
003,327,822,386,995,710,855,002,259,257,632,241,272,483,114,600,910,852,905,
951,697,787,004,561,543,885,217,809,919,403,326,291,750,502,463,383,849,774,
365,401,039,010,212,093,005,134,084,886,264,590,075,316,871,898,844,995,761,
627,070,777,644,307,715,163,606,117,737,892,021,828,095,230,456,852,957,333,
112,533,000,143,164,591,701,415,963,383,676,291,167,265,591,365,827,231,021,
088,111,471,842,322,671,649,996,909,604,740,595,433,758,715,481,974,895,259,
905,194,543,797,939,149,834,551,942,265,435,032,878,382,414,997,024,877,447,
811,008,038,234,964,254,528,097,080,037,169,593,400,947,885,897,544,114,515,
930,646,224,434,816,742,710,332,323,548,558,699,154,090,283,838,064,982,556,
885,975,368,171,367,379,392,914,335,103,650,674,271,780,240,101,446,571,077,
847,736,566,084,998,692,091,026,161,039,199,264,517,344,581,173,340,302,757,
614,636,115,885,806,403,097,175,983,388,110,551,568,665,552,641,424,442,820,
281,369,831,191,072,506,817,618,909,156,761,043,817,555,303,119,411,766,685,
923,854,452,756,705,511,236,967,870,804,951,318,982,339,413,593,427,466,504,
600,287,604,821,287,358,269,001,374,810,919,482,849,569,063,623,888,178,635,
101,032,456,644,251,668,436,068,537,035,096,337,832,389,962,017,965,219,324,
602,088,948,061,344,852,864,421,015,811,314,171,591,114,467,218,105,301,215,
019,159,238,338,659,040,159,664,769,542,929,234,708,024,314,315,014,178,730,
666,952,050,529,934,439,324,744,919,223,015,884,948,183,580,452,203,801,443,
850,221,596,509,304,129,732,574,657,618,983,277,095,974,949,236,900,650,150,
827,127,277,334,474,290,797,250,387,699,366,040,082,786,540,456,609,331,100,
097,956,751,341,790,659,726,826,067,558,257,685,435,529,523,026,768,719,849,
484,300,612,796,556,112,514,117,664,003,174,697,546,401,615,778,230,480,697,
988,045,594,913,278,941,921,170,990,292,967,014,102,040,400,572,154,847,230,
657,749,049,239,377,373,400,320,265,482,716,252,186,685,898,550,920,665,415,
134,756,160,566,709,339,395,955,409,723,691,035,214,022,141,722,529,411,143,
490,487,127,833,577,087,356,033,231,808,492,020,656,317,200,451,188,343,576,
502,128,200,185,286,609,248,686,997,336,858,208,562,253,370,540,046,988,080,
268,034,117,771,441,322,560,943,669,011,611,617,828,467,749,019,597,498,431,
989,473,714,993,653,664,881,712,223,812,514,993,609,053,635,404,444,734,200,
441,885,404,516,123,717,305,557,452,851,996,347,075,938,263,947,520,697,022,
985,449,862,501,526,653,660,600,414,305,706,390,821,614,500,562,663,161,513,
583,313,801,570,062,786,309,496,391,842,745,474,229,602,679,348,262,202,002,
576,122,223,131,915,389,135,376,004,675,198,959,258,373,622,238,459,996,997,
274,178,903,323,872,386,475,442,098,801,852,344,636,163,794,450,716,397,053,
847,147,934,980,820,873,093,210,679,005,377,647,899,858,791,163,139,344,835,
690,522,102,294,505,888,872,511,176,101,308,485,537,863,994,263,958,525,507,
558,258,595,504,236,596,950,366,432,683,536,253,234,208,804,476,136,712,968,
216,301,469,014,792,720,176,808,509,678,113,914,921,291,059,993,408,408,780,
231,194,269,998,438,610,386,436,040,918,465,978,203,346,266,669,137,811,920,
970,687,876,396,870,057,318,052,194,077,739,976,972,316,650,783,869,690,615,
484,670,980,345,088,213,632,278,147,649,211,456,645,096,868,746,975,660,162,
086,965,337,538,146,985,511,944,378,340,567,453,146,370,016,739,506,941,279,
299,720,364,815,625,800,301,671,261,930,370,213,166,309,375,354,995,806,084,
394,449,171,989,547,760,787,396,573,052,959,244,164,012,885,073,383,363,716,
055,723,223,924,083,069,362,162,016,462,858,745,502,649,796,689,736,698,141,
762,759,837,035,095,031,988,318,526,355,885,198,209,838,849,187,695,016,724,
724,045,888,125,896,092,918,475,929,278,863,818,707,445,645,246,021,038,830,
829,062,115,800,109,666,989,483,483,446,612,294,629,112,392,869,699,682,779,
328,583,844,699,768,641,034,662,961,732,935,930,780,022,587,022,814,444,412,
585,548,738,367,840,146,235,063,065,338,025,202,376,072,266,862,557,143,405,
466,499,993,945,890,691,666,206,611,482,211,520,377,303,169,253,766,685,953,
661,956,094,437,719,085,820,023,856,855,545,076,022,496,587,898,241,762,957,
060,236,620,930,702,735,991,685,541,178,048,706,787,217,204,055,627,288,662,
213,839,690,283,039,188,436,425,240,490,084,485,873,824,115,956,536,606,029,
863,777,190,560,949,475,925,274,751,642,202,335,448,673,666,626,218,189,087,
775,185,479,985,905,878,503,654,821,096,435,482,879,525,461,193,970,602,581,
079,505,406,225,592,028,445,805,167,611,320,449,932,027,278,675,883,424,440,
110,059,991,536,621,572,040,872,115,235,029,694,022,401,842,948,118,450,137,
346,305,793,347,509,151,460,993,068,057,495,660,411,722,644,132,648,489,874,
012,584,700,082,915,759,102,415,659,205,774,947,473,111,687,871,704,946,776,
010,299,876,820,869,473,449,144,182,268,124,489,199,878,610,982,865,466,469,
696,790,229,569,867,931,825,154,895,972,030,812,759,152,361,729,322,523,769,
092,716,597,202,083,901,385,091,355,868,238,637,287,872,477,506,055,619,228,
242,395,457,752,782,220,577,674,342,063,110,310,537,646,875,694,919,844,720,
151,100,789,345,042,118,410,356,041,838,525,447,925,470,666,494,697,847,146,
385,771,235,744,989,171,684,657,819,761,581,015,381,497,323,755,197,152,666,
524,921,691,946,988,545,593,409,304,370,965,944,599,289,515,330,210,345,841,
855,470,328,073,040,721,039,818,077,284,279,834,029,451,123,288,523,997,480,
665,373,766,878,306,550,316,020,732,740,242,348,370,765,974,370,620,825,023,
953,350,862,866,635,262,298,814,332,719,625,972,597,486,975,404,612,818,335,
520,415,100,144,382,797,978,840,026,371,536,874,059,500,667,322,368,393,189,
915,888,493,508,068,891,784,917,375,385,663,740,981,163,114,781,703,478,906,
700,081,120,072,387,297,623,677,292,866,223,975,626,404,308,991,907,397,810,
765,986,895,454,141,067,213,521,845,277,091,304,193,299,131,533,746,350,927,
143,567,804,926,118,629,093,104,940,480,386,746,256,433,489,590,759,971,494,
800,831,909,500,616,597,453,022,940,449,507,645,168,131,692,145,999,244,279,
077,256,427,975,503,099,520,498,258,065,108,300,148,499,062,360,145,250,547,
984,205,417,538,630,800,077,995,771,037,987,393,017,873,234,143,540,740,705,
766,761,487,562,517,880,445,812,034,999,928,867,086,519,219,353,021,868,038,
859,666,838,609,190,237,841,465,127,959,884,028,853,280,992,789,017,352,161,
459,489,170,437,393,476,824,325,492,823,387,650,430,695,350,300,555,953,942,
556,375,254,779,737,058,075,461,842,711,923,277,484,246,427,494,982,338,966,
638,079,100,867,163,030,817,289,494,787,675,317,345,101,584,411,074,053,623,
239,519,936,003,265,322,878,201,307,196,125,840,949,094,200,701,874,689,478,
890,132,661,197,612,487,235,190,713,221,291,157,133,059,383,986,542,753,647,
657,572,708,369,011,553,875,727,166,817,921,633,845,630,054,657,108,083,268,
872,642,217,321,579,241,908,464,972,395,853,371,575,530,908,655,240,557,047,
751,804,935,817,147,768,392,733,911,032,551,794,003,439,858,155,103,524,535,
033,139,391,500,457,099,489,818,265,278,525,646,766,836,000,219,040,486,063,
337,172,676,124,981,933,600,269,863,663,360,361,427,100,791,839,455,235,319,
799,021,970,322,452,404,087,661,298,066,416,539,307,115,428,191,489,639,607,
067,156,591,208,795,639,658,271,715,463,005,606,867,150,564,103,068,305,261,
034,844,324,384,268,956,875,275,640,822,357,978,316,758,941,802,291,204,832,
824,353,721,403,662,328,272,781,101,148,931,522,618,240,622,348,833,136,518,
057,142,551,118,558,525,212,955,313,892,067,260,900,887,308,486,357,724,605,
428,271,187,830,628,940,172,408,134,801,447,738,198,293,992,056,219,630,711,
625,024,627,243,852,983,386,082,497,076,273,460,063,144,038,370,912,671,818,
648,760,914,798,070,067,056,256,372,142,300,019,015,676,251,180,382,867,305,
544,745,608,583,913,715,045,310,003,789,591,367,042,786,531,970,439,848,826,
027,642,015,151,935,536,358,340,335,670,211,205,085,321,037,438,707,852,150,
058,236,064,688,522,038,437,265,884,610,439,208,357,805,305,589,626,711,962,
128,944,349,148,528,666,158,327,326,279,183,826,050,532,342,940,883,982,660,
344,193,891,742,106,517,183,143,452,882,839,185,120,120,434,990,483,459,002,
062,087,682,335,905,670,977,319,125,701,971,849,637,213,393,811,291,674,568,
211,648,589,900,847,212,846,559,752,259,733,578,490,640,971,081,578,455,418,
826,727,727,639,017,452,613,725,921,103,108,109,851,214,763,452,449,670,176,
828,283,966,006,270,649,966,636,276,917,923,941,657,940,544,900,996,695,046,
025,749,661,992,322,606,688,099,559,402,954,028,345,461,369,800,455,406,627,
590,040,554,795,042,748,074,673,162,257,655,963,916,174,427,429,282,133,220,
000,846,638,018,509,449,327,027,209,028,189,483,273,155,333,619,419,748,458,
118,622,077,283,425,865,801,849,804,492,008,163,455,538,557,591,129,189,563,
906,355,566,905,477,209,582,526,473,238,968,160,518,156,056,913,495,869,759,
781,874,372,282,075,600,042,029,491,993,543,570,368,075,734,765,086,984,002,
170,758,370,999,953,674,781,052,183,188,616,449,170,448,568,811,724,906,049,
882,934,357,130,920,304,220,417,508,436,129,116,915,181,324,548,600,899,732,
793,338,819,246,876,534,309,388,657,204,473,802,387,778,611,836,497,997,067,
757,354,759,335,641,015,734,922,055,388,159,574,214,542,474,068,441,191,119,
332,211,009,404,677,349,314,418,056,611,488,732,199,578,609,877,182,728,409,
974,975,892,757,788,460,143,132,038,575,295,505,668,402,393,322,576,303,156,
869,615,314,432,928,103,124,160,930,396,123,592,475,085,803,565,046,584,471,
980,964,409,282,614,083,327,193,519,301,861,946,393,486,796,404,760,999,710,
313,925,082,125,749,114,938,606,558,354,708,213,917,539,727,124,500,939,798,
555,478,069,275,702,915,766,827,314,514,059,822,389,932,174,473,566,224,727,
566,014,289,286,205,105,207,636,451,748,954,259,847,800,250,295,142,573,934,
336,449,454,641,284,650,696,154,991,916,259,481,022,394,509,672,202,533,189,
298,164,287,223,504,053,037,238,178,770,276,883,541,933,590,849,197,947,750,
638,755,128,651,109,032,516,808,464,592,782,437,263,815,556,150,640,893,827,
170,950,991,298,596,786,688,700,573,827,992,692,465,224,885,267,583,013,409,
768,567,691,719,881,421,761,344,912,821,876,842,737,643,266,853,288,415,375,
366,089,080,134,939,439,940,250,988,724,216,799,153,342,771,626,855,451,118,
305,739,987,732,163,779,314,731,835,000,070,335,467,696,356,199,005,750,795,
663,279,235,368,612,224,948,699,754,041,323,757,263,720,595,623,476,625,301,
209,234,079,558,973,150,095,357,239,759,247,479,677,197,587,780,825,266,955,
111,151,937,527,409,092,776,025,245,977,978,789,386,385,241,201,103,549,387,
105,065,199,794,938,048,405,651,466,564,359,026,242,800,761,340,706,645,089,
513,179,523,135,220,516,883,625,543,702,129,443,169,339,729,693,158,613,039,
041,749,424,886,008,103,040,429,503,246,205,925,856,898,388,497,701,231,091,
800,781,877,843,612,672,278,007,957,025,385,985,174,384,769,059,818,290,994,
543,070,231,047,956,197,869,355,660,984,066,975,366,951,827,656,433,587,655,
784,295,965,530,846,209,501,740,041,169,385,656,885,308,893,185,426,051,874,
903,777,102,190,057,690,059,910,949,791,773,385,847,144,229,808,245,312,236,
990,880,025,398,376,710,428,501,290,682,807,046,977,806,919,821,732,721,081,
205,057,739,031,519,137,190,116,946,014,813,984,920,194,046,774,116,178,345,
603,609,469,110,880,256,304,166,239,748,626,050,723,323,385,979,136,457,847,
683,070,812,264,996,369,436,618,542,152,470,905,465,693,713,628,629,985,501,
307,941,720,658,830,441,196,818,840,985,341,860,426,365,950,997,140,129,702,
696,554,534,070,312,280,503,905,154,237,797,427,027,557,654,011,753,620,554,
486,143,899,269,853,318,322,350,604,687,839,916,235,898,296,377,034,586,314,
002,333,289,902,632,219,259,496,584,737,914,197,504,522,654,072,060,685,540,
896,553,507,495,890,954,078,343,662,243,551,183,425,638,463,298,910,016,245,
428,995,921,684,247,830,348,421,514,617,951,140,837,752,336,018,198,831,506,
361,048,219,842,090,938,245,202,668,870,528,854,221,678,439,351,061,090,105,
715,976,512,256,706,044,469,165,599,963,568,619,313,194,374,559,264,579,897,
942,358,475,862,839,836,998,824,669,021,532,261,674,059,757,433,825,358,972,
287,700,379,396,772,099,426,570,405,956,109,834,457,901,863,244,911,902,866,
671,174,052,716,998,313,565,924,981,429,531,474,224,112,137,115,400,234,991,
364,257,153,667,691,724,863,167,794,349,856,160,318,780,017,614,476,305,648,
591,193,188,276,816,542,897,155,288,980,469,790,117,146,035,906,809,761,981,
993,155,889,125,905,531,238,387,003,665,588,787,920,127,798,609,433,574,990,
921,678,861,191,483,038,954,536,254,754,182,374,865,759,752,962,912,304,655,
112,919,191,140,481,260,702,802,109,624,283,415,190,957,364,600,649,836,790,
351,951,395,132,873,675,509,262,788,940,626,374,277,739,627,144,590,600,240,
114,239,709,292,969,163,119,096,739,076,648,781,986,963,272,755,639,732,904,
526,980,389,670,441,896,229,857,386,810,544,624,300,851,014,879,577,259,694,
639,956,881,314,372,051,685,986,353,308,453,673,337,545,138,350,591,545,781,
153,329,005,762,129,750,336,920,628,649,828,778,072,840,823,343,228,842,858,
225,182,388,822,849,510,284,132,076,059,743,086,430,918,052,578,266,791,867,
433,720,200,045,639,838,160,198,179,521,314,915,058,141,991,731,577,467,717,
437,418,988,786,894,652,848,875,957,622,078,478,382,472,696,749,962,129,028,
791,479,000,756,047,262,259,181,620,182,528,198,798,196,435,017,968,497,224,
234,270,554,301,427,496,225,537,100,635,803,202,280,697,444,325,926,505,134,
728,444,032,202,316,036,947,905,203,051,921,267,636,425,025,130,922,934,874,
355,727,682,210,238,979,901,235,712,645,996,742,158,319,623,335,282,602,424,
721,840,336,973,928,165,425,553,823,411,747,393,501,667,585,626,716,297,889,
551,470,419,167,111,991,092,066,570,366,725,794,530,272,509,245,371,582,814,
490,853,536,904,257,817,737,769,655,769,004,336,950,200,160,042,785,174,643,
989,238,754,346,576,617,720,292,503,893,735,620,006,927,634,178,611,790,069,
709,170,182,847,279,776,637,180,520,978,719,128,130,628,093,465,607,292,835,
600,805,387,818,712,666,186,163,024,491,899,161,574,160,672,288,147,092,038,
784,440,481,341,820,144,028,026,059,269,668,795,915,601,977,471,914,623,140,
800,305,962,933,073,711,085,377,165,665,170,218,087,878,986,827,227,889,419,
596,763,379,678,524,308,953,015,573,134,097,934,071,391,975,729,389,669,341,
170,907,191,846,589,797,711,748,115,044,238,361,012,693,981,791,312,920,228,
531,718,547,901,400,459,278,178,196,616,398,528,791,424,443,134,474,387,567,
197,571,798,878,343,733,340,133,904,146,252,890,903,861,043,734,079,926,276,
450,238,240,783,226,843,546,201,375,903,413,305,786,667,086,599,842,947,040,
759,775,769,697,199,665,035,772,606,092,338,154,994,440,370,695,014,615,653,
685,105,288,647,255,286,893,275,355,946,693,322,620,751,825,317,803,265,829,
146,764,164,497,757,735,590,481,367,485,411,032,288,402,603,541,306,336,967,
180,398,648,748,299,618,051,235,081,374,593,851,916,871,672,399,595,968,463,
918,153,086,032,153,754,318,707,068,503,595,538,935,228,888,581,308,512,728,
688,886,812,850,606,708,328,281,897,230,507,354,488,934,696,502,440,436,608,
702,571,049,064,980,152,588,290,194,461,471,366,890,511,161,908,169,314,292,
575,802,274,302,720,260,715,330,214,780,569,107,779,728,892,066,669,009,766,
348,079,166,956,599,434,812,110,331,472,482,288,414,166,314,629,241,440,341,
918,028,665,341,294,684,925,840,270,685,655,010,147,141,796,126,422,689,537,
287,059,763,879,412,554,590,313,416,261,047,686,791,027,769,091,391,193,386,
351,846,864,627,309,904,804,820,385,226,231,222,942,113,871,998,033,985,970,
621,312,621,290,952,129,412,088,804,804,095,106,358,567,051,241,311,942,873,
940,250,643,627,387,084,328,231,464,174,449,243,028,545,719,018,407,526,950,
483,450,386,393,976,912,993,163,135,425,553,875,153,532,013,117,802,845,001,
048,631,139,719,286,791,727,620,264,024,495,858,239,632,773,352,750,493,751,
401,961,901,060,895,329,405,375,223,910,617,999,005,618,326,126,950,976,652,
424,895,908,891,687,804,371,887,269,723,968,057,957,144,693,136,090,005,916,
638,940,421,480,479,641,827,761,516,854,290,671,614,204,756,937,539,709,233,
368,951,000,363,858,051,668,613,830,771,705,650,782,228,138,260,601,978,008,
093,157,978,595,390,059,063,444,537,974,781,392,951,440,603,033,132,000,951,
348,842,937,713,120,366,837,090,067,278,047,981,602,290,114,837,427,879,237,
390,644,192,599,782,485,394,988,647,963,545,123,879,327,654,053,736,110,781,
094,198,042,091,300,592,371,346,854,385,354,347,504,262,250,163,350,453,421,
013,344,597,561,324,897,531,818,481,002,177,257,740,385,950,694,324,225,946,
204,101,073,149,335,494,901,454,353,909,116,268,601,821,979,739,751,565,383,
757,757,124,774,978,054,771,347,765,157,938,406,374,625,990,943,185,422,044,
492,522,157,146,126,356,459,558,851,769,790,012,944,562,546,499,904,556,496,
842,356,460,401,227,001,205,004,183,416,429,324,939,298,609,733,761,809,712,
113,359,266,299,207,108,530,786,328,455,032,106,220,509,885,666,496,325,992,
766,980,727,448,443,459,195,009,528,623,158,283,404,316,869,008,635,080,148,
653,480,680,620,296,639,480,727,536,710,097,673,979,582,656,326,443,730,395,
601,953,559,842,610,386,880,844,154,696,744,758,311,660,742,020,012,376,499,
516,860,949,635,374,031,339,203,579,863,849,331,095,615,530,638,176,381,324,
402,495,256,651,522,232,843,618,887,822,190,903,065,882,448,463,646,429,783,
968,558,734,970,316,517,003,096,979,892,015,537,927,889,663,244,855,184,474,
790,026,284,040,448,658,927,148,247,041,287,391,924,655,733,967,757,281,442,
215,893,716,633,613,223,159,442,633,477,902,608,853,255,297,341,585,096,526,
738,142,515,743,544,224,093,018,174,864,348,874,414,318,664,941,381,224,901,
721,122,566,029,332,143,105,097,339,566,761,724,949,349,145,183,562,654,555,
237,384,926,006,233,559,950,496,891,463,165,630,785,426,999,122,742,868,459,
387,873,829,610,005,458,835,544,556,365,176,812,649,730,686,479,501,570,284,
131,954,760,348,260,379,029,521,416,300,544,675,680,078,849,098,721,332,895,
015,369,008,088,401,803,662,124,513,264,752,250,271,548,218,185,570,911,561,
362,716,171,079,510,803,496,985,638,098,733,287,874,575,939,445,338,862,416,
960,094,675,552,277,374,657,980,060,416,596,669,484,558,219,589,751,478,947,
112,037,855,026,722,175,276,191,459,008,093,598,169,458,280,460,264,310,361,
195,051,441,414,984,921,711,072,028,841,790,638,870,510,550,728,355,984,664,
486,523,439,173,544,725,803,854,781,996,519,699,230,761,425,001,783,076,180,
958,349,621,543,773,318,651,650,986,208,912,137,164,430,359,954,466,958,340,
355,110,566,180,268,096,009,234,418,532,277,941,039,469,644,609,653,546,235,
623,754,878,626,430,536,818,194,507,793,943,211,893,909,440,588,241,993,860,
938,047,976,792,329,461,465,349,431,737,635,524,239,181,366,840,257,937,751,
904,521,214,435,478,047,687,613,014,440,540,375,796,366,589,609,291,327,061,
992,859,363,486,105,601,538,765,241,294,474,341,305,438,603,634,671,035,286,
659,046,878,901,668,776,460,472,949,295,586,959,168,857,732,147,431,667,857,
379,769,674,035,193,271,419,954,771,926,064,952,760,237,568,005,596,867,955,
501,655,827,856,750,580,868,118,840,011,359,507,411,247,086,008,308,233,204,
701,953,837,065,186,430,141,174,677,139,474,894,007,641,132,434,816,271,425,
416,874,074,540,860,892,315,900,928,105,961,508,511,347,620,795,249,657,667,
242,129,666,714,022,612,230,249,341,114,363,370,851,107,594,075,763,586,896,
373,215,189,640,395,694,331,534,944,563,727,728,541,911,803,072,567,128,592,
668,125,213,976,891,701,864,098,938,791,026,311,763,959,601,215,075,444,330,
581,090,414,789,991,849,973,201,790,768,019,191,233,857,145,345,859,893,763,
650,280,420,339,356,525,945,131,991,003,605,507,507,458,564,751,418,395,032,
720,178,174,982,209,300,084,868,112,392,597,379,286,004,161,310,995,872,868,
592,039,930,976,387,703,583,418,547,385,019,522,403,363,838,764,308,052,575,
488,788,090,072,614,569,959,641,143,129,976,771,455,638,963,425,435,165,332,
577,827,583,518,229,071,413,144,682,055,615,652,654,637,080,276,052,960,771,
078,022,766,516,429,379,481,762,836,389,435,958,613,310,166,425,634,598,551,
356,739,017,854,877,533,692,768,726,231,862,570,633,135,702,531,379,030,753,
892,869,437,260,065,476,918,668,687,498,575,067,517,276,988,656,299,041,627,
800,903,526,044,759,044,757,847,421,866,545,122,703,206,829,254,559,098,848,
473,619,608,019,845,267,638,128,669,610,393,392,640,477,237,530,188,306,347,
573,907,472,434,704,520,981,772,637,835,758,713,520,002,565,989,691,995,049,
225,468,618,247,068,899,815,673,874,086,636,489,658,506,376,363,808,080,935,
499,220,023,181,284,333,386,516,199,287,432,317,348,392,691,943,764,844,618,
904,017,672,448,987,225,273,840,624,784,727,968,556,028,873,244,134,948,130,
705,074,893,468,698,047,851,409,636,621,115,347,315,277,273,715,966,330,276,
421,631,247,813,259,181,927,753,973,128,327,159,609,349,080,949,788,584,782,
373,968,385,834,621,355,793,570,796,420,781,308,362,086,529,962,260,937,401,
000,534,204,274,339,496,003,262,379,452,293,385,024,392,419,621,478,824,316,
858,655,689,789,037,010,260,570,921,284,014,686,813,916,769,702,456,849,846,
456,410,075,410,233,282,285,617,722,388,564,484,007,313,081,609,350,342,426,
175,816,361,106,900,049,842,594,109,452,719,563,895,056,627,167,142,200,990,
771,592,764,813,915,031,213,080,406,125,700,791,592,900,700,451,621,200,170,
013,899,133,567,227,965,504,382,519,514,173,484,684,907,903,827,416,892,484,
697,607,543,413,623,452,048,167,848,900,857,347,308,034,774,648,815,932,454,
888,449,415,499,276,899,248,239,147,989,914,022,735,045,299,992,538,955,125,
679,358,842,260,483,683,604,378,642,389,139,155,663,528,551,440,591,529,987,
469,247,840,068,471,753,355,167,376,506,360,828,152,895,430,106,207,093,542,
606,464,295,875,087,327,202,321,864,910,650,003,274,070,903,397,056,180,009,
643,025,882,361,168,169,761,182,938,598,263,612,528,246,345,692,030,055,548,
605,518,544,172,718,737,840,679,729,014,840,524,298,398,469,914,850,090,179,
874,308,470,405,304,200,881,704,660,188,205,835,898,049,820,704,501,442,223,
649,002,918,031,031,463,560,309,049,748,028,894,182,963,402,738,103,016,972,
161,658,046,307,951,053,878,026,407,072,651,718,651,266,252,935,902,592,327,
350,012,570,562,735,807,770,868,543,015,341,935,549,790,849,652,570,187,863,
873,667,155,979,030,029,275,750,588,494,903,208,876,718,748,360,414,390,239,
486,099,114,961,492,710,892,383,736,017,452,024,140,536,679,385,982,425,586,
252,263,415,780,255,458,427,184,719,291,817,402,115,147,923,942,522,664,971,
145,109,927,839,843,031,309,546,273,796,947,778,355,585,689,145,524,721,536,
337,399,843,574,364,650,683,927,656,321,878,443,787,432,472,505,923,075,327,
360,815,078,753,150,011,187,224,769,259,029,970,242,570,016,871,054,457,041,
039,154,415,100,789,287,320,757,536,158,676,687,961,151,614,186,395,009,763,
518,887,202,303,540,674,202,689,607,427,373,827,786,074,832,375,665,584,962,
557,175,436,096,025,076,635,650,853,028,078,749,882,692,485,436,464,620,050,
637,593,681,681,641,046,714,247,350,901,969,469,216,712,450,578,705,365,550,
055,072,374,653,993,739,066,051,765,485,157,257,398,922,047,038,129,829,354,
465,787,251,884,670,311,198,911,154,179,624,293,732,678,533,588,395,457,631,
781,918,944,521,545,873,672,410,612,047,001,201,865,830,699,900,540,517,665,
853,785,635,799,021,357,065,486,485,402,180,313,500,826,071,400,307,689,028,
210,617,635,196,065,727,617,568,170,259,606,382,954,372,395,968,748,706,569,
273,575,176,396,228,620,667,011,434,422,104,339,873,384,505,170,418,245,299,
947,961,360,118,434,284,820,926,113,208,981,846,943,178,120,632,165,960,715,
133,308,945,442,507,111,874,490,330,057,703,483,344,214,514,561,798,694,368,
138,175,951,783,288,584,686,944,857,261,041,129,607,204,739,252,515,028,581,
807,025,162,871,488,612,285,765,887,091,093,069,277,595,855,147,264,951,272,
643,945,710,520,247,522,749,755,959,372,103,366,715,900,472,178,135,833,357,
925,950,501,919,884,298,702,337,645,068,986,756,894,352,904,986,632,750,078,
877,724,067,858,427,877,248,754,736,409,544,311,384,592,591,295,369,913,884,
975,993,112,204,548,894,553,535,818,651,345,131,789,414,562,904,597,090,260,
002,522,331,607,665,836,321,179,369,922,904,278,596,889,586,083,168,367,989,
738,307,100,066,709,345,086,146,236,407,978,869,289,254,488,648,842,527,324,
347,594,546,917,433,807,869,726,981,127,117,184,453,695,921,422,631,021,232,
690,635,757,181,816,123,250,539,524,486,551,916,140,550,162,165,778,000,374,
230,372,903,775,273,753,873,938,883,197,163,722,696,042,608,764,028,709,522,
768,529,874,046,495,843,570,791,564,576,609,916,387,441,176,009,986,496,119,
825,074,055,313,659,612,581,676,419,601,445,535,667,176,675,999,612,740,082,
238,257,030,382,756,299,790,455,463,732,968,345,460,691,263,411,894,761,141,
085,352,730,049,408,492,419,601,779,510,885,614,311,892,889,493,570,069,568,
396,366,508,174,223,867,636,748,862,693,341,821,363,283,037,280,947,684,602,
069,111,623,195,108,343,307,614,825,090,758,546,915,029,926,990,677,800,821,
911,715,705,420,067,243,911,798,897,637,265,067,119,031,971,888,854,960,145,
603,273,072,830,481,314,719,097,062,334,998,367,795,059,401,931,391,676,746,
125,556,529,080,469,955,057,113,569,288,564,478,052,139,552,986,147,170,951,
485,954,189,169,914,366,397,365,759,505,869,832,099,028,446,951,526,532,555,
559,985,759,909,734,866,581,918,326,767,157,539,184,136,776,307,769,759,901,
142,659,136,249,554,068,588,498,330,334,007,593,265,507,897,374,722,825,213,
924,474,719,616,821,991,811,588,350,154,517,199,075,929,539,387,926,388,001,
129,994,214,425,115,767,946,984,616,387,210,437,074,850,410,271,838,141,786,
107,167,565,743,853,415,853,373,289,969,704,369,462,387,653,467,372,323,273,
469,763,415,347,289,659,069,460,393,938,249,796,692,687,891,027,485,241,997,
017,163,678,649,300,439,857,609,951,262,924,503,763,346,590,910,156,510,320,
477,111,898,990,797,569,651,663,165,688,868,586,540,224,703,606,140,894,175,
070,524,808,812,297,428,986,238,552,536,204,969,553,491,026,760,041,952,342,
713,894,690,615,390,144,560,513,637,068,281,805,637,025,506,964,660,241,271,
843,077,907,420,531,835,570,306,817,569,666,926,886,897,265,802,154,262,200,
798,014,670,235,443,304,237,739,388,137,114,793,229,273,182,589,748,566,659,
469,055,968,877,562,883,241,535,299,034,396,218,116,560,280,080,027,328,037,
595,117,336,911,853,618,084,362,871,027,112,869,468,376,409,307,696,815,635,
152,655,911,179,154,129,037,704,007,702,391,325,749,770,706,118,625,443,710,
513,507,969,743,640,610,262,775,564,018,878,798,274,893,243,577,923,963,004,
960,570,803,381,058,682,105,494,567,262,745,575,301,787,021,445,851,040,215,
838,402,707,984,057,076,817,720,661,199,697,815,772,605,897,111,574,503,418,
214,588,511,602,187,911,740,823,975,252,243,451,190,223,452,777,487,159,840,
387,917,850,404,014,929,325,560,256,071,359,489,291,299,263,344,724,215,178,
894,819,202,924,123,423,985,468,677,473,966,580,352,490,334,590,743,608,434,
008,236,918,560,632,936,104,125,697,512,341,644,037,483,398,271,342,282,109,
099,117,710,422,208,122,071,351,061,510,240,410,998,002,827,322,548,579,281,
941,857,257,819,446,279,822,830,570,810,864,516,276,148,435,794,257,627,369,
657,147,627,846,152,925,922,960,722,695,857,354,179,004,943,365,876,235,335,
963,635,840,411,473,328,650,357,517,042,271,897,024,090,869,676,734,058,549,
091,472,276,630,037,026,391,731,338,857,088,661,463,905,575,010,136,599,485,
029,878,373,824,401,777,999,170,633,443,501,829,073,310,408,648,930,219,764,
044,858,504,230,714,394,359,907,271,601,631,158,851,008,419,820,010,047,395,
363,729,877,772,119,651,881,302,507,672,292,188,842,641,855,615,854,921,658,
411,961,094,872,628,565,377,029,129,338,698,209,685,182,620,623,687,558,574,
978,753,011,014,619,891,651,220,209,646,970,871,765,002,523,470,554,742,098,
064,393,500,890,718,811,776,357,147,011,397,043,831,119,498,861,320,600,873,
362,099,290,540,543,366,177,220,337,256,526,784,186,138,493,333,029,590,086,
561,576,277,720,909,746,599,328,878,460,987,040,688,294,861,324,962,041,434,
616,068,620,598,738,427,678,014,754,032,956,818,088,116,924,628,288,434,227,
078,962,963,498,277,958,177,438,271,851,172,074,501,895,273,600,354,798,207,
355,915,040,408,539,820,357,422,082,075,928,058,485,269,499,964,889,494,227,
829,887,267,581,760,971,592,916,077,803,450,994,351,868,012,124,993,732,091,
046,537,672,334,223,385,723,469,450,987,407,752,213,219,844,555,473,203,029,
374,598,637,023,563,573,856,772,120,077,084,604,417,981,673,747,324,657,001,
384,812,540,537,045,290,165,117,720,740,186,929,796,013,018,265,361,807,972,
321,829,085,361,806,272,257,608,372,657,263,570,572,932,902,522,478,375,010,
282,763,446,855,149,127,336,352,023,220,408,354,705,026,628,640,906,019,948,
175,402,113,465,781,827,659,056,403,458,065,277,183,772,813,360,841,805,083,
665,177,707,259,547,685,103,209,849,043,996,189,493,270,270,615,963,335,786,
081,990,915,555,046,828,641,369,868,853,764,335,074,956,902,574,456,069,851,
361,375,384,634,438,369,066,285,523,589,221,157,421,205,016,569,737,191,985,
884,533,506,559,703,239,013,140,002,222,508,505,416,868,439,956,104,810,788,
483,743,090,167,344,528,356,829,619,811,800,905,666,822,701,115,545,565,429,
315,833,427,326,379,411,627,475,124,616,110,084,718,168,019,581,609,341,326,
678,846,088,541,432,906,314,063,625,552,690,737,640,286,769,269,412,960,349,
142,099,721,863,542,035,514,415,447,338,475,060,778,299,166,248,906,242,418,
706,940,473,284,239,123,205,260,195,305,067,159,101,906,379,311,049,046,272,
675,763,253,338,976,810,018,248,019,417,620,069,687,411,872,515,012,426,600,
049,948,792,645,855,908,967,863,840,977,781,044,616,144,937,868,295,853,714,
114,103,081,630,084,677,038,057,250,858,978,122,704,238,512,688,829,958,027,
538,878,905,473,331,093,201,058,615,985,614,654,462,126,451,603,887,984,228,
243,555,418,814,530,275,085,587,230,074,320,863,584,216,369,006,270,410,971,
800,896,735,657,792,778,113,369,969,750,635,027,101,205,727,421,290,440,406,
797,826,351,030,688,524,510,669,831,991,094,306,111,905,676,556,366,734,734,
343,666,673,057,907,217,125,654,678,363,309,758,839,851,912,330,764,493,141,
496,030,205,180,429,898,650,810,223,483,070,644,772,453,416,813,563,944,048,
215,196,854,991,113,315,035,049,822,265,508,123,319,996,146,532,389,836,443,
809,448,207,193,316,059,758,608,903,080,935,036,104,891,153,551,044,714,042,
181,628,067,690,398,125,850,462,203,655,537,068,771,382,961,919,895,998,998,
814,272,829,789,426,917,819,418,682,774,167,702,112,051,757,777,230,997,120,
960,340,333,852,020,398,995,847,213,882,138,627,647,978,787,342,011,900,897,
131,498,295,027,695,986,839,481,110,375,233,055,680,319,494,293,325,117,903,
765,961,468,804,374,893,178,713,349,332,277,477,381,878,107,401,459,751,294,
188,295,678,511,189,374,041,053,469,390,047,303,191,217,816,696,123,691,612,
374,589,615,508,643,534,596,084,257,056,275,673,873,046,576,799,338,603,828,
550,301,803,618,834,351,151,857,085,159,255,898,441,524,847,159,704,664,625,
514,062,208,494,075,793,050,601,184,668,776,875,840,483,305,686,543,504,618,
067,188,418,416,376,192,767,178,351,001,335,217,438,576,867,192,495,390,852,
578,434,199,685,712,923,996,921,274,208,644,891,597,132,483,334,318,765,257,
805,314,859,687,673,026,857,793,216,582,147,165,099,877,227,019,759,981,156,
583,887,281,535,528,505,676,016,134,689,801,335,718,529,561,972,028,173,331,
394,768,477,743,429,835,924,437,864,755,028,763,896,284,145,368,557,449,334,
643,299,574,128,478,116,667,192,051,098,703,449,647,848,297,631,821,478,015,
015,702,363,274,425,477,225,419,770,096,743,048,711,579,952,171,643,973,768,
982,981,063,852,961,177,870,568,294,115,790,585,191,540,665,758,927,906,963,
889,160,224,562,789,837,719,071,344,597,627,994,887,657,297,518,123,548,393,
007,041,267,978,307,464,994,883,803,952,973,278,583,038,484,311,343,907,153,
848,152,131,664,235,401,345,104,041,867,045,417,842,201,397,338,445,664,811,
700,233,043,199,098,672,039,326,065,312,963,539,693,596,710,556,577,973,411,
646,146,227,721,715,634,101,698,161,175,559,839,120,027,634,989,322,150,589,
267,374,635,663,927,271,260,182,044,848,455,054,731,131,515,930,771,505,791,
134,651,422,115,421,541,585,658,918,939,018,022,959,646,865,505,092,167,484,
396,401,535,513,471,049,226,229,202,088,561,290,040,098,922,520,317,990,571,
475,334,385,576,498,028,509,716,533,155,195,471,357,822,371,627,373,061,815,
814,464,320,812,007,936,226,311,730,954,790,801,594,970,434,471,293,370,230,
240,038,062,871,997,736,884,234,883,708,588,892,072,997,930,292,276,011,328,
602,786,312,460,235,747,190,633,352,888,019,025,080,043,836,060,675,830,417,
855,450,498,136,844,107,842,427,189,923,477,234,728,373,555,443,632,731,775,
097,761,173,902,335,384,146,219,595,903,561,842,068,777,753,857,364,595,300,
010,477,775,934,394,651,736,031,820,059,308,501,155,946,137,821,648,563,496,
710,047,714,620,126,430,493,359,346,028,676,114,192,671,917,280,271,581,202,
400,261,422,205,323,819,679,976,628,829,301,459,813,285,230,827,781,447,623,
047,189,322,509,270,429,364,164,964,452,642,875,343,088,932,434,949,871,886,
857,993,943,539,769,406,307,155,429,309,624,720,965,795,543,289,070,503,850,
118,983,277,195,636,431,269,156,199,266,290,111,879,877,927,730,112,062,574,
924,141,614,588,469,183,254,798,856,725,184,595,978,344,978,666,471,547,645,
224,825,297,792,401,401,171,946,565,220,151,602,973,494,446,435,812,979,727,
655,420,040,981,317,491,302,731,575,684,283,014,754,742,298,818,927,311,013,
210,968,506,656,664,854,584,360,310,826,755,099,967,912,787,316,556,691,890,
005,265,055,630,270,884,249,079,296,893,015,067,968,949,694,282,301,719,773,
190,723,559,649,271,509,469,778,197,722,030,392,256,972,565,274,234,581,263,
278,035,568,949,428,862,600,901,971,834,599,553,923,554,051,103,098,255,653,
443,273,683,835,880,296,341,435,575,014,030,632,104,523,860,248,323,883,793,
840,009,516,051,044,581,399,569,529,663,291,556,356,643,763,571,741,482,570,
333,580,090,167,007,913,344,920,418,062,621,191,096,029,307,878,901,938,339,
712,055,258,886,703,851,670,856,948,280,760,927,668,538,988,843,061,427,695,
042,486,668,940,704,974,353,830,936,590,791,058,818,499,064,104,372,326,524,
151,461,054,309,606,828,861,823,060,018,538,249,506,255,124,361,603,931,133,
899,364,542,525,941,785,412,888,098,042,198,365,145,479,966,996,098,615,361,
060,632,214,942,114,172,294,420,612,262,295,138,445,201,886,632,389,962,167,
538,163,697,710,304,811,901,173,414,632,559,569,313,841,245,846,786,156,667,
539,406,028,233,568,330,249,257,674,784,602,877,123,787,463,068,331,546,072,
219,278,094,903,597,569,999,201,148,033,973,202,732,348,962,685,961,622,982,
571,134,931,147,057,720,136,167,729,858,515,802,518,635,343,281,572,498,978,
420,646,996,436,304,566,646,730,045,339,715,681,915,700,714,628,762,717,689,
825,732,692,694,036,966,524,289,210,184,616,853,678,556,993,892,593,978,853,
994,612,370,942,262,482,870,672,356,789,127,436,309,402,591,349,028,238,243,
403,837,832,570,342,577,401,136,100,259,584,014,575,805,226,483,130,742,619,
993,882,062,055,485,685,191,495,759,669,984,449,050,421,940,402,120,078,714,
623,424,527,747,938,885,174,763,873,271,276,744,673,489,310,773,921,391,813,
939,560,720,856,658,484,496,887,331,617,286,607,229,641,917,068,734,314,359,
290,785,910,214,991,562,510,153,579,686,092,975,621,117,109,922,206,916,004,
158,032,522,391,246,973,120,703,937,285,453,611,029,735,506,483,434,400,833,
165,472,006,209,345,884,420,354,435,551,941,653,871,548,723,409,061,213,918,
020,003,094,933,580,096,674,457,171,422,264,741,726,544,861,184,884,615,169,
201,809,276,650,379,464,865,051,730,053,486,793,843,375,376,975,104,524,496,
874,054,712,885,910,846,524,941,808,671,380,760,025,845,152,162,120,214,866,
280,334,164,927,376,329,929,412,262,506,049,219,376,115,210,708,745,002,953,
939,042,520,375,693,622,642,365,318,588,876,781,348,029,168,469,346,584,566,
452,249,587,276,976,753,657,643,683,406,792,384,011,246,852,391,976,420,132,
862,615,750,797,319,776,697,049,114,242,163,029,592,687,217,434,063,155,285,
715,308,844,250,612,333,622,023,078,479,321,742,048,998,185,090,488,145,113,
099,561,427,667,153,055,745,992,221,202,243,529,122,001,473,186,116,674,329,
376,196,421,131,507,235,348,539,995,093,809,404,208,545,403,891,214,027,192,
492,023,101,207,570,291,980,165,160,469,167,808,753,636,391,437,045,766,730,
898,507,339,608,187,051,258,853,653,175,628,261,923,183,506,732,254,229,790,
858,500,045,798,274,541,731,048,440,252,368,396,867,681,633,779,212,572,693,
400,717,242,554,295,325,251,197,062,447,817,761,821,754,348,371,701,739,315,
496,232,331,953,844,275,935,705,576,356,469,325,154,470,101,230,336,661,536,
309,172,837,178,501,854,862,002,303,978,460,092,677,454,845,326,784,074,264,
119,735,054,884,885,090,027,565,542,110,593,312,985,829,341,980,533,153,285,
567,528,783,889,911,261,180,795,690,158,514,532,347,485,579,585,431,195,726,
662,790,779,905,381,150,715,519,281,966,968,874,900,038,448,234,526,172,147,
985,965,708,488,306,297,486,468,922,428,716,303,338,967,331,735,138,968,634,
156,394,687,554,020,878,925,210,121,765,779,281,231,802,323,384,712,779,174,
136,361,359,849,586,886,382,284,210,882,218,203,352,808,519,097,223,491,048,
643,328,472,223,847,328,971,884,763,189,901,117,475,657,410,026,064,422,519,
769,994,053,141,135,556,039,879,233,546,016,336,642,008,853,336,402,430,666,
877,449,254,920,379,046,635,361,740,120,601,657,199,964,562,641,552,711,341,
181,157,582,251,375,090,650,128,979,426,607,356,571,583,774,343,577,410,983,
215,552,875,587,746,563,000,640,292,001,883,457,954,832,388,236,965,052,619,
207,926,256,046,676,942,049,011,205,184,935,810,320,582,099,107,016,970,491,
295,928,249,754,636,043,853,478,274,898,545,832,608,330,070,021,944,411,996,
520,309,529,730,227,579,918,529,659,151,109,936,201,375,328,327,904,019,878,
946,080,190,603,634,536,672,843,571,511,577,109,832,922,463,328,564,598,193,
893,792,835,409,461,526,037,279,785,020,515,313,088,116,786,276,944,619,891,
354,834,710,164,442,174,195,981,232,754,581,110,377,386,916,566,889,036,755,
652,122,553,217,147,483,859,917,543,283,214,788,703,202,823,269,934,382,086,
879,238,722,377,815,650,055,908,755,145,268,995,306,250,823,658,114,934,514,
140,507,533,849,840,293,655,742,056,551,174,111,939,264,170,161,518,938,414,
660,095,452,683,157,312,617,751,782,400,814,326,262,277,442,174,494,428,622,
664,397,543,044,627,878,981,625,006,226,161,089,425,427,951,463,519,555,616,
001,640,829,497,242,316,017,050,148,388,517,002,129,066,857,457,564,717,763,
374,834,028,742,723,361,293,902,247,335,497,394,073,861,522,142,344,641,474,
977,985,583,971,302,870,744,419,836,904,399,496,929,228,551,580,127,578,019,
702,011,320,446,990,508,868,024,456,880,489,344,818,806,912,601,735,324,151,
324,601,484,770,273,985,426,671,135,175,869,570,183,039,121,121,622,094,514,
493,884,923,216,906,328,023,734,168,198,633,835,632,582,946,768,887,191,343,
903,609,791,978,769,989,716,460,052,682,303,070,193,992,891,082,819,378,933,
005,404,005,346,615,060,449,258,857,964,695,071,038,049,941,209,576,162,111,
317,024,694,297,734,355,614,585,013,003,545,212,368,804,817,771,658,669,141,
544,914,171,832,881,394,773,906,940,741,379,775,139,671,493,955,700,316,745,
217,707,045,319,309,927,234,351,808,530,738,756,087,862,563,023,197,822,410,
878,656,954,742,711,399,619,991,888,022,445,175,517,243,260,903,738,932,885,
226,986,143,853,312,732,904,152,297,744,430,270,857,731,958,766,444,824,080,
673,688,619,335,511,494,376,619,697,064,644,163,597,551,676,373,603,799,576,
846,332,539,129,501,724,982,175,417,756,376,381,962,838,333,512,026,086,056,
922,789,188,659,352,527,598,107,960,933,213,246,532,707,681,578,086,918,112,
913,753,287,793,481,576,305,545,331,516,755,878,949,208,978,217,964,397,994,
034,684,561,670,336,533,914,781,071,498,701,217,994,041,505,171,436,386,913,
674,399,400,918,356,518,124,165,761,511,202,688,847,524,365,120,317,064,932,
747,217,559,525,369,039,538,219,573,914,402,266,861,174,493,199,071,910,349,
663,848,000,347,292,549,279,831,192,006,260,965,025,995,107,713,586,089,664,
582,818,070,163,646,169,046,515,635,035,423,820,152,251,841,359,503,941,378,
246,994,321,261,317,322,562,314,458,643,636,783,025,635,329,979,069,721,242,
992,915,281,072,816,520,285,109,443,583,032,544,090,323,974,071,676,399,219,
933,364,266,002,821,570,322,926,151,923,209,738,732,915,275,137,384,290,726,
807,692,141,721,235,492,347,681,507,838,072,980,623,208,367,005,596,879,810,
909,336,873,249,611,183,135,848,917,233,211,884,200,284,378,052,845,242,810,
542,356,910,094,865,595,962,328,481,474,859,658,793,186,900,822,813,231,888,
757,538,177,619,029,291,400,530,910,813,732,925,997,819,630,544,410,038,500,
279,230,463,932,665,343,343,715,016,583,540,651,725,963,543,090,695,123,035,
936,750,229,998,175,928,167,438,281,340,301,073,267,220,712,655,116,196,793,
518,165,759,314,236,276,793,148,113,232,470,909,149,982,223,697,707,484,853,
238,011,110,866,089,623,467,739,472,921,313,260,790,322,228,461,127,794,104,
325,214,401,702,404,787,636,051,720,268,702,370,768,048,628,511,213,411,151,
309,014,576,094,858,076,410,683,501,164,778,355,140,137,183,087,122,486,272,
438,200,420,996,903,242,090,607,432,841,152,738,911,701,315,485,047,659,721,
866,320,244,030,603,687,682,559,773,996,524,554,579,775,972,309,913,553,701,
513,836,964,494,789,810,444,938,264,460,184,992,569,227,669,356,193,971,304,
620,913,832,263,168,639,723,029,337,237,191,966,580,488,030,595,466,345,601,
268,675,843,806,555,011,174,316,726,692,716,640,600,225,854,613,935,204,787,
139,096,173,154,762,054,257,434,982,067,326,873,040,270,248,917,478,653,568,
238,867,421,174,601,994,264,259,736,604,820,013,278,625,018,580,094,975,348,
260,540,348,587,892,953,330,099,056,472,640,303,606,440,213,933,666,183,455,
199,282,485,183,174,182,081,851,748,004,333,268,749,054,201,539,585,824,740,
035,482,133,817,814,725,147,593,552,115,106,821,124,670,836,843,231,209,099,
392,347,904,028,552,613,639,948,783,128,704,117,382,876,819,024,994,060,990,
570,431,958,845,560,780,305,702,354,641,908,723,575,086,475,519,598,121,650,
978,168,242,944,731,050,076,795,755,293,368,891,581,540,550,405,348,239,586,
456,000,635,007,951,416,155,429,967,802,832,991,646,906,919,215,229,259,441,
509,515,688,968,636,350,373,624,176,993,275,004,037,825,807,087,041,800,184,
032,168,546,812,801,500,062,750,867,962,057,404,869,666,349,417,714,013,913,
444,911,402,625,962,538,847,960,881,415,606,289,575,037,520,246,408,069,569,
757,033,019,300,655,871,875,587,887,876,375,863,836,496,345,169,998,516,310,
992,882,401,661,748,404,234,966,056,465,032,775,558,952,390,630,743,347,055,
746,613,930,872,693,530,465,647,058,237,264,605,259,281,973,866,970,620,036,
785,977,170,201,451,289,554,329,744,096,772,898,085,514,333,526,819,784,867,
506,460,199,903,355,489,433,333,432,433,231,453,250,151,637,228,843,196,686,
574,013,223,060,529,417,259,044,475,259,004,602,922,531,750,845,721,932,500,
259,529,337,318,342,552,713,216,749,718,634,576,796,043,471,478,989,671,281,
551,727,511,037,820,385,965,836,131,922,458,649,301,225,286,381,325,259,283,
654,516,034,922,108,358,235,713,772,753,684,352,946,403,562,443,513,001,998,
121,290,759,221,621,400,300,657,483,159,850,001,036,826,294,187,563,261,128,
508,144,956,100,078,598,847,137,009,751,676,660,188,343,329,164,547,983,497,
699,046,133,456,407,707,266,468,170,033,249,835,668,367,298,037,750,603,857,
350,610,325,337,720,752,929,160,805,434,018,296,514,603,592,319,045,073,898,
440,960,944,996,819,474,819,893,667,985,165,409,527,249,531,518,472,849,513,
656,575,076,168,638,534,088,569,032,227,931,448,151,399,129,590,882,008,042,
028,774,761,270,568,629,123,339,186,706,445,092,214,729,028,479,532,033,787,
583,317,449,413,962,994,316,714,601,407,169,230,448,907,758,408,105,939,985,
059,193,312,394,428,531,550,999,050,147,661,035,972,995,701,173,834,308,962,
962,151,764,283,688,117,443,679,014,696,221,434,432,533,633,097,339,006,456,
101,295,961,535,146,869,969,298,000,528,556,300,138,471,434,211,588,109,888,
929,896,099,559,827,574,932,907,407,477,250,098,395,926,672,505,088,227,480,
434,549,367,083,695,460,434,391,756,105,609,207,333,390,128,804,620,115,696,
223,472,301,314,689,670,990,738,829,720,191,680,462,927,942,560,859,881,964,
125,005,580,397,497,758,315,035,955,139,851,422,552,921,401,677,132,275,248,
742,450,770,171,240,512,548,594,151,263,527,772,995,951,912,802,119,418,281,
243,635,705,650,849,928,667,922,649,768,721,499,737,749,772,309,098,068,674,
493,987,672,453,708,663,215,191,351,667,502,006,146,505,044,047,944,754,937,
072,632,147,875,455,647,459,577,982,072,905,587,212,355,243,731,463,915,537,
605,639,437,171,067,544,558,777,277,710,653,014,766,465,739,318,487,443,603,
859,954,030,665,831,457,743,255,604,705,843,270,589,749,221,611,577,063,706,
988,771,465,134,043,680,601,533,149,501,772,837,877,876,346,494,790,606,393,
359,421,700,937,795,712,407,061,590,997,666,165,564,944,587,854,242,746,929,
332,228,467,439,767,873,566,309,052,746,249,804,328,295,830,173,581,513,261,
749,821,107,400,858,835,125,310,620,758,888,583,918,291,911,582,034,806,074,
396,371,747,883,210,760,190,663,100,315,894,147,613,730,158,790,278,414,295,
435,296,677,952,277,069,294,425,419,275,427,602,464,582,777,823,667,549,934,
215,478,532,033,683,154,169,661,657,752,681,987,009,162,091,264,979,905,978,
515,166,225,872,774,450,579,795,703,498,262,308,517,836,294,274,082,419,867,
362,101,988,553,361,780,189,119,945,621,291,288,692,239,144,821,708,311,312,
642,206,501,357,127,551,932,748,433,701,190,336,452,302,962,338,106,496,889,
305,578,765,822,114,757,018,595,366,655,398,759,040,008,225,405,485,186,094,
168,923,435,970,731,474,890,552,397,910,512,915,528,458,838,103,149,358,753,
612,934,784,785,853,767,573,856,635,302,829,750,623,241,122,911,962,150,127,
512,750,493,057,945,529,457,671,399,326,246,176,936,731,911,234,015,205,980,
261,432,919,562,533,367,771,672,696,548,117,617,334,440,660,623,763,953,301,
247,895,091,385,551,043,935,650,823,257,362,371,869,807,808,928,030,778,401,
405,209,837,688,603,215,556,163,806,467,474,982,546,813,102,435,779,495,154,
369,827,761,332,757,173,029,973,830,000,102,704,042,396,006,546,014,520,053,
806,303,136,143,125,198,404,910,957,584,630,087,816,087,412,631,904,395,361,
785,962,706,159,062,180,256,666,782,645,251,821,122,142,931,605,211,249,939,
340,783,880,720,445,029,912,975,086,092,736,997,203,086,553,424,563,101,115,
483,851,571,180,133,660,706,385,786,169,889,641,574,333,274,760,902,854,418,
684,849,343,718,127,701,331,222,398,098,981,526,465,393,539,897,693,219,049,
043,095,796,592,003,056,725,094,389,267,115,679,531,465,136,830,653,487,488,
993,848,550,929,738,525,759,879,446,702,341,979,137,983,047,629,598,237,130,
788,024,255,130,353,581,979,887,539,384,569,608,121,252,384,273,821,941,798,
276,349,194,152,516,007,712,207,804,060,515,530,262,340,072,785,496,749,191,
603,511,233,661,358,589,914,885,981,792,433,099,594,243,360,685,877,044,160,
696,937,226,786,697,038,377,461,395,549,563,993,771,829,699,851,568,737,642,
645,853,551,015,783,209,539,310,955,709,598,607,487,132,295,590,859,236,256,
120,256,885,443,853,824,501,106,639,041,180,292,488,067,597,983,712,858,212,
446,682,996,267,794,405,012,816,324,702,504,694,786,022,870,898,865,523,393,
096,354,004,664,310,725,360,079,442,933,403,080,515,383,040,784,602,861,002,
446,093,856,711,713,602,179,716,727,071,815,821,471,844,094,001,156,123,542,
984,695,124,425,147,418,171,678,641,909,176,007,059,708,540,652,296,493,073,
746,521,870,297,743,739,404,612,227,879,038,768,234,962,646,304,213,252,899,
881,982,222,516,686,360,460,218,818,061,870,580,773,914,829,626,115,683,158,
338,880,844,964,834,545,289,838,879,633,250,704,200,912,349,335,356,993,855,
680,327,025,703,588,867,797,658,239,861,396,892,066,420,627,560,352,799,885,
727,853,929,617,539,123,375,791,071,720,860,245,588,116,418,546,838,179,545,
628,204,090,396,160,943,982,509,346,793,731,561,783,065,827,143,070,982,237,
967,809,134,210,395,584,783,427,042,874,499,322,520,130,126,158,655,494,179,
586,629,712,793,111,448,763,162,441,511,571,648,951,996,458,540,627,713,093,
261,196,593,149,366,800,120,060,751,883,459,790,516,418,458,947,099,099,611,
460,156,377,250,756,487,792,662,603,019,799,307,235,020,932,327,963,077,210,
033,240,212,676,816,088,643,345,844,262,807,743,079,578,843,422,401,720,303,
025,111,600,483,082,927,076,958,336,881,886,045,724,728,465,070,764,016,685,
257,430,516,752,623,572,407,152,874,612,936,426,847,766,635,256,524,585,117,
548,634,353,527,241,146,201,306,907,192,511,304,965,171,466,801,260,144,219,
091,591,996,750,664,096,317,441,049,110,928,536,439,716,323,666,772,329,324,
369,587,855,072,011,274,655,658,959,310,323,175,383,070,864,375,573,852,263,
904,484,630,632,304,939,394,616,386,033,321,168,008,441,453,846,397,160,177,
169,881,696,515,086,591,402,411,781,790,792,422,760,432,940,821,057,626,097,
461,363,256,098,502,784,873,611,765,470,055,577,817,750,669,074,654,920,344,
133,436,505,623,458,373,058,844,391,326,532,871,228,704,936,516,327,223,321,
020,195,425,491,213,486,173,800,411,572,355,474,156,909,191,434,555,115,777,
435,668,962,637,728,804,127,792,013,553,468,436,418,659,491,836,285,595,334,
057,185,616,762,675,712,146,048,447,997,567,385,793,750,630,837,895,953,698,
030,334,508,134,179,817,652,953,223,499,580,919,798,491,304,127,658,425,639,
008,732,213,553,335,711,847,553,114,137,128,964,293,376,190,075,426,045,263,
876,099,610,751,144,779,839,859,347,420,720,687,494,434,246,055,580,522,772,
964,069,740,417,672,513,039,324,153,584,681,496,531,234,683,481,427,282,630,
374,949,678,612,123,620,020,237,267,605,172,026,520,685,563,535,251,010,978,
777,095,233,198,148,048,074,815,441,313,936,737,399,374,575,562,017,721,092,
625,279,474,725,836,604,584,472,971,734,113,487,113,133,117,941,712,040,203,
770,891,017,560,426,716,501,593,254,314,250,584,083,084,090,423,012,097,862,
116,956,508,031,428,961,507,227,313,159,663,853,639,044,194,921,354,400,314,
359,997,410,576,823,146,049,878,516,982,904,602,632,847,791,162,216,400,574,
575,139,711,305,442,095,014,044,259,494,789,129,987,724,567,342,621,396,131,
018,018,592,528,410,636,494,884,874,058,677,987,339,615,176,574,961,544,378,
731,580,760,714,462,291,732,221,218,453,873,827,183,939,439,316,616,491,970,
810,082,769,603,444,535,844,636,769,125,818,598,586,439,604,812,105,204,642,
987,683,577,242,091,295,034,390,931,869,588,576,895,590,699,581,487,255,945,
114,326,420,900,899,545,767,328,337,628,970,249,141,093,728,731,709,439,860,
868,311,056,094,441,548,588,682,927,071,632,584,350,723,463,263,760,231,331,
766,772,484,174,399,221,927,684,155,969,513,619,027,331,417,615,605,260,320,
021,762,187,243,393,842,966,091,116,954,818,481,240,853,064,393,421,289,984,
680,470,269,129,205,408,607,901,319,520,389,679,934,193,382,578,449,338,018,
799,383,619,770,110,351,381,289,407,208,837,233,267,554,467,681,846,459,067,
864,655,325,979,498,301,124,417,344,539,051,366,283,979,947,375,797,126,250,
672,769,568,390,137,957,616,072,549,359,601,451,143,776,359,892,786,231,311,
666,822,366,162,423,290,519,831,264,918,384,827,386,595,911,984,986,305,476,
587,621,676,894,598,734,036,394,507,483,436,754,998,490,624,201,362,758,785,
265,278,505,575,848,314,340,833,690,899,094,540,421,748,714,071,901,970,333,
954,979,691,275,598,900,886,434,185,214,904,091,492,684,436,796,224,584,567,
554,251,606,048,422,122,372,902,019,489,221,512,889,756,646,285,841,704,578,
563,014,746,161,704,135,377,897,470,050,570,561,010,979,939,047,347,453,150,
469,723,461,217,281,153,985,276,674,279,337,341,044,294,918,017,935,690,893,
776,757,546,297,472,471,107,161,524,760,553,231,019,278,775,860,983,324,348,
670,338,280,286,127,156,313,435,905,545,082,516,301,697,305,393,391,549,903,
260,025,944,589,336,582,318,869,809,990,909,039,929,920,935,094,941,194,364,
648,159,751,336,979,251,211,159,381,481,979,340,138,147,485,525,369,884,395,
023,593,408,010,968,844,699,179,754,085,530,010,257,597,212,330,989,801,376,
122,986,046,511,084,396,001,457,707,514,123,364,403,434,108,338,272,216,127,
933,470,677,886,399,811,067,767,805,899,801,034,439,089,106,487,309,949,614,
969,478,413,281,892,374,731,623,906,318,702,732,020,323,692,543,626,749,269,
369,701,881,416,087,707,222,312,586,041,178,203,963,563,103,562,022,521,221,
295,546,557,653,113,078,388,546,122,033,094,335,820,738,846,103,854,763,723,
832,467,550,949,571,216,460,933,396,199,282,423,408,647,580,295,222,099,912,
669,887,451,198,734,328,289,399,841,692,532,304,009,874,246,373,717,670,765,
938,800,094,405,803,399,494,315,370,128,444,825,978,874,972,663,656,657,927,
964,705,541,779,533,969,982,237,292,175,243,201,754,014,277,833,690,406,667,
277,940,525,773,556,983,574,190,016,179,199,474,307,223,858,831,239,229,806,
742,889,116,576,322,995,119,612,282,099,178,902,300,040,427,275,882,857,232,
483,299,403,685,771,335,579,452,239,461,338,770,374,129,456,698,022,983,609,
042,250,017,494,869,388,868,141,247,697,729,881,661,226,038,792,498,342,599,
882,660,741,899,277,844,832,000,944,774,814,868,562,761,052,135,727,213,137,
851,034,138,080,951,468,940,667,797,957,198,228,735,379,329,407,167,740,628,
618,926,550,189,628,842,088,340,920,847,336,553,571,048,397,681,498,538,637,
013,680,493,158,227,241,951,558,874,966,928,493,287,855,207,611,757,238,841,
822,382,168,201,540,191,626,897,712,240,127,370,774,619,465,521,112,213,642,
118,207,611,044,354,904,560,398,720,300,149,785,430,081,469,899,897,860,800,
636,710,201,542,919,007,861,351,838,424,235,732,499,426,277,120,516,863,131,
564,332,183,393,681,663,126,702,665,391,130,928,096,865,711,795,891,281,353,
316,173,119,545,769,521,140,350,842,057,282,463,059,864,118,960,329,356,224,
273,006,591,413,180,230,062,480,000,334,390,608,075,673,719,186,859,570,920,
326,419,811,565,996,411,027,195,039,269,291,293,498,196,670,496,994,867,464,
998,013,869,024,846,252,977,037,921,829,985,322,938,086,449,291,281,844,608,
129,959,034,786,501,365,249,061,163,762,841,979,214,513,188,694,062,658,126,
131,093,616,035,228,958,250,562,813,701,694,242,697,846,441,148,074,315,732,
257,053,315,311,567,794,021,502,193,758,190,475,444,618,050,735,354,481,577,
609,732,821,855,679,827,184,074,362,399,464,731,656,505,061,568,910,951,562,
089,659,151,293,135,791,944,716,754,290,826,024,644,020,219,118,107,980,252,
014,595,730,557,482,159,496,565,378,645,715,531,480,381,659,337,545,156,098,
157,081,860,384,552,863,717,471,968,813,125,446,659,726,269,739,832,929,541,
846,680,573,483,549,911,434,940,717,390,430,037,502,396,446,482,927,828,958,
835,571,099,850,640,253,335,462,653,546,544,398,746,303,078,649,516,004,893,
695,597,383,533,175,917,586,540,775,904,194,912,977,271,919,981,992,272,265,
667,523,764,757,260,312,657,807,360,570,675,133,232,903,168,322,313,892,130,
292,059,183,144,977,720,488,899,636,020,488,511,333,393,673,057,008,605,022,
053,944,492,355,065,030,819,806,700,911,755,745,446,673,559,292,195,926,680,
549,643,988,374,118,930,780,903,670,879,645,667,944,009,863,901,303,778,975,
729,561,974,907,594,013,696,326,535,644,503,883,722,016,062,483,842,552,568,
870,841,450,504,432,988,421,439,299,289,155,344,460,679,574,500,947,118,053,
822,332,475,173,995,347,757,804,148,048,638,169,295,855,172,552,703,597,447,
847,658,777,604,618,980,364,376,874,626,645,005,199,888,283,021,982,067,168,
387,012,757,463,187,803,330,931,438,803,334,678,152,448,825,217,407,195,284,
865,823,681,357,146,207,198,641,003,999,979,383,059,325,340,155,794,207,247,
748,056,119,496,213,172,838,433,033,899,946,816,093,394,720,750,339,142,222,
763,756,743,029,207,239,354,181,802,172,668,802,648,658,280,584,845,160,540,
686,242,750,489,550,035,738,973,132,582,500,937,618,887,887,364,676,567,393,
321,796,381,303,689,689,102,534,834,129,286,876,975,994,508,821,361,844,283,
804,530,683,771,694,984,047,508,838,093,417,846,806,737,361,570,260,020,720,
686,099,970,587,288,069,299,421,499,339,146,734,698,441,514,705,787,202,815,
815,554,304,529,958,289,197,822,902,881,215,559,189,157,289,757,606,066,290,
670,806,177,675,014,070,755,960,411,555,145,457,953,692,310,705,210,687,419,
605,772,722,796,419,008,032,899,661,262,040,263,287,689,013,999,126,402,352,
958,301,608,996,815,892,654,941,422,332,656,689,304,247,185,840,188,589,675,
349,880,862,718,933,902,128,124,713,424,129,836,469,718,379,238,529,708,174,
211,748,253,389,768,250,211,835,219,942,201,660,701,299,534,638,508,853,873,
014,563,610,566,849,864,076,581,996,686,300,823,509,976,926,882,190,696,702,
937,897,022,968,195,777,002,439,030,734,510,109,053,247,570,411,567,071,971,
929,419,503,275,708,594,927,905,711,641,049,138,044,917,456,588,323,939,973,
105,189,772,102,337,213,624,459,138,461,372,924,533,839,674,509,698,988,586,
194,522,970,003,790,380,403,277,806,882,051,198,126,935,274,093,474,226,267,
278,733,075,172,887,619,913,149,959,673,940,256,414,032,475,071,790,399,213,
775,888,830,838,333,008,933,614,621,337,464,828,292,553,492,298,885,635,946,
873,380,790,277,907,108,969,830,596,060,746,744,797,796,515,769,624,369,967,
287,155,173,206,183,951,139,891,075,261,149,933,759,929,679,907,170,649,418,
879,521,693,932,509,611,670,967,929,638,402,025,796,131,387,608,468,586,322,
231,076,038,549,847,633,649,825,712,169,212,214,822,301,635,896,906,280,249,
477,545,892,714,754,099,031,335,800,053,381,029,373,594,727,120,365,966,266,
355,139,475,979,363,797,842,565,651,416,001,188,514,433,236,693,965,963,875,
427,688,204,390,415,401,053,084,798,286,700,214,812,566,453,971,823,747,660,
395,923,260,684,551,242,056,545,640,881,238,221,101,835,596,774,926,115,774,
411,688,968,746,644,150,000,849,380,121,639,939,434,957,664,683,793,907,920,
612,940,283,203,282,191,190,914,183,148,356,481,853,753,225,798,359,276,984,
776,237,844,954,963,648,130,587,578,293,121,534,348,243,870,365,706,074,102,
128,153,124,135,485,330,973,261,956,790,033,995,467,391,495,533,039,767,927,
461,688,586,130,358,218,908,871,004,933,601,120,238,592,221,127,049,030,718,
395,648,931,786,284,012,378,206,216,102,206,534,709,257,926,368,703,190,244,
277,183,673,098,092,476,917,089,985,230,334,441,299,454,298,825,817,184,260,
500,970,675,007,058,895,710,987,886,251,169,702,854,209,036,219,239,043,094,
438,328,944,958,312,698,561,630,628,217,036,905,870,030,952,081,066,106,440,
173,330,940,182,894,887,265,373,338,644,598,300,989,696,889,010,763,979,668,
538,496,951,715,623,107,428,773,233,134,608,824,267,603,693,910,324,699,367,
161,631,641,381,015,545,697,904,458,873,004,427,884,702,557,660,749,932,393,
439,491,024,480,305,909,173,628,186,428,311,510,442,742,329,990,918,779,825,
816,337,416,016,876,926,267,101,537,209,302,608,970,438,017,345,468,277,443,
586,347,038,711,933,011,914,649,736,750,416,672,959,359,245,795,776,079,188,
041,628,925,403,979,609,264,300,744,186,052,086,907,791,599,195,112,879,990,
525,330,843,463,823,470,173,021,879,436,089,439,600,574,058,305,563,100,778,
384,952,296,902,063,546,964,433,193,607,182,846,195,928,345,469,696,228,961,
628,770,617,564,794,527,492,346,557,597,732,144,980,749,492,102,378,414,716,
771,988,569,528,449,442,123,971,807,995,413,846,213,349,048,969,504,730,631,
030,623,710,278,510,751,293,806,872,609,047,653,572,837,472,600,921,674,814,
707,009,301,060,516,202,782,161,528,552,628,420,802,408,526,297,215,043,360,
804,753,106,857,174,931,363,332,858,055,140,153,614,873,670,387,255,919,921,
477,170,564,694,281,391,697,204,081,516,884,738,715,954,040,807,072,858,588,
203,118,782,967,198,863,421,441,769,363,946,823,797,914,789,717,010,595,618,
601,453,911,838,902,352,599,690,271,886,957,948,383,326,182,227,151,982,877,
779,622,885,013,782,141,532,123,264,911,648,863,152,001,170,268,124,378,047,
818,541,894,534,600,556,225,154,864,183,663,092,613,500,818,527,359,660,774,
581,042,187,867,109,395,256,387,762,191,237,319,883,629,740,587,110,927,426,
488,952,544,366,327,152,069,459,735,270,539,667,141,771,031,610,565,482,219,
489,197,016,323,828,931,608,325,639,804,928,979,075,979,061,868,242,876,481,
911,945,842,798,770,568,089,012,493,576,278,327,950,771,001,135,926,480,528,
890,176,837,301,799,999,190,132,730,153,233,677,173,718,117,275,276,207,044,
941,802,977,142,833,924,169,496,616,010,302,338,300,186,400,512,752,452,510,
886,468,099,893,715,541,518,146,202,312,450,878,956,094,864,706,654,401,311,
136,680,839,535,592,348,257,596,394,142,757,529,216,615,743,961,013,515,084,
848,630,264,481,467,957,767,913,612,057,428,362,754,481,394,091,339,268,280,
957,541,641,849,350,314,029,490,983,791,846,623,441,596,248,351,184,226,588,
707,952,141,953,535,161,260,022,169,093,581,940,654,467,925,891,478,578,643,
566,468,860,172,079,802,223,950,564,603,197,833,735,804,580,211,895,796,565,
566,618,098,615,113,291,730,397,384,883,964,037,450,081,805,068,182,022,309,
659,474,306,694,394,919,654,208,987,772,645,200,176,493,205,781,430,187,437,
467,670,037,186,974,655,850,423,082,553,519,289,666,077,092,538,955,411,576,
695,267,394,888,009,654,341,131,718,031,050,132,233,511,979,213,607,293,310,
406,249,711,310,767,860,712,304,752,337,704,666,746,878,551,590,951,930,143,
770,322,652,476,410,016,758,748,222,961,476,381,806,200,813,299,456,676,216,
706,659,624,597,498,726,640,732,863,862,867,610,303,552,776,854,069,309,472,
426,209,678,244,676,042,262,632,551,426,000,426,339,647,841,139,394,085,671,
143,561,311,821,078,612,142,737,561,737,529,739,760,057,872,784,743,194,148,
765,446,604,974,702,580,697,863,817,025,046,711,778,592,610,920,356,944,072,
213,515,793,807,683,571,295,826,548,679,993,986,258,271,513,599,120,003,035,
645,749,758,024,865,312,570,125,976,667,872,903,890,378,152,115,484,164,167,
558,472,008,176,400,294,147,750,709,468,765,398,198,709,431,368,857,860,367,
987,080,796,950,705,733,665,734,003,791,656,846,167,679,076,404,493,328,231,
123,187,108,259,778,801,879,084,487,275,377,538,843,705,500,770,560,500,327,
771,819,829,347,651,017,615,385,632,648,191,002,502,320,936,023,676,422,621,
212,550,010,098,578,613,874,129,829,026,317,150,347,336,114,885,562,424,910,
379,181,379,241,694,977,596,832,040,204,462,517,113,641,705,468,344,515,290,
817,306,776,295,723,004,158,451,165,540,064,657,568,433,569,574,223,425,471,
370,298,692,984,442,144,450,243,940,098,907,694,125,116,950,382,504,207,238,
970,644,608,105,303,770,766,526,360,035,036,161,632,743,660,901,720,614,168,
357,911,046,023,496,324,992,345,226,597,662,876,910,637,020,482,961,677,468,
506,454,850,430,492,762,679,383,452,729,777,283,189,646,335,053,386,100,610,
153,021,786,407,561,654,993,360,999,023,486,638,042,443,413,076,108,714,383,
306,721,852,324,109,400,171,105,023,925,942,757,942,763,786,448,402,793,509,
848,087,046,618,692,753,267,906,988,560,902,538,771,414,834,391,037,225,153,
940,235,557,578,115,946,098,787,522,150,731,165,734,058,658,497,465,954,437,
033,828,312,512,779,298,961,892,903,902,091,231,669,523,330,169,560,402,325,
917,403,542,436,063,737,759,268,152,875,684,412,599,281,881,232,769,310,697,
341,782,850,795,797,579,268,345,717,950,397,165,616,469,008,800,449,783,487,
473,508,182,798,736,925,926,726,567,569,512,366,943,461,220,792,369,577,134,
513,944,377,411,727,803,334,764,807,949,450,946,395,356,709,435,555,885,749,
189,378,034,434,724,330,139,859,746,677,544,320,243,167,333,629,165,730,288,
511,305,589,953,650,779,811,572,018,987,985,619,965,159,418,322,803,427,343,
710,876,269,424,385,045,202,460,471,244,995,108,360,300,994,296,189,230,036,
840,731,620,679,733,169,179,052,540,997,780,079,239,080,393,194,939,122,784,
919,409,738,641,575,741,180,176,796,104,740,644,839,954,342,297,082,424,884,
296,875,263,082,647,997,865,400,371,885,041,730,600,415,038,258,937,412,196,
939,262,119,896,592,805,582,830,610,141,214,791,741,493,275,822,511,291,622,
094,610,526,609,649,918,934,642,229,486,095,273,199,590,722,535,541,369,581,
778,335,493,425,988,734,387,253,880,795,675,476,600,632,342,249,278,220,660,
704,852,969,854,960,006,588,933,588,074,873,780,094,780,405,699,167,483,864,
642,383,375,747,213,043,933,349,726,600,483,235,210,858,269,184,494,482,670,
718,676,556,824,791,972,111,625,481,043,544,311,120,517,199,335,935,164,229,
560,240,220,798,110,435,243,177,894,503,551,247,719,638,800,168,044,639,883,
750,277,117,060,017,047,870,676,017,735,169,864,344,817,017,599,612,029,393,
242,749,001,577,972,168,909,124,570,009,343,588,224,166,183,888,670,971,592,
854,877,528,718,436,329,071,552,849,142,496,869,450,029,567,557,404,479,513,
556,773,109,405,590,999,839,840,195,065,651,767,671,461,982,027,877,161,172,
279,624,444,811,616,205,085,539,010,445,150,883,432,174,878,041,719,566,689,
941,246,562,819,794,111,192,719,802,710,277,701,744,386,650,678,779,829,152,
696,941,030,414,210,468,027,226,012,420,794,817,088,892,600,392,066,605,857,
550,952,530,858,197,369,803,064,775,462,336,634,139,205,810,439,974,969,295,
551,108,955,370,052,093,093,354,948,100,375,848,241,217,851,461,456,055,091,
706,383,762,879,419,616,390,743,586,296,818,599,872,594,950,633,064,140,440,
195,196,832,220,165,676,749,143,878,536,876,502,516,826,470,462,203,080,320,
181,528,668,034,069,076,156,271,658,432,450,626,163,672,043,548,321,227,333,
359,103,467,194,504,747,907,678,118,191,167,096,108,642,065,510,987,816,539,
495,298,876,991,378,507,284,375,530,734,519,118,131,061,908,750,530,308,358,
333,961,253,674,732,282,080,761,325,798,645,022,213,912,817,667,085,690,996,
258,935,887,334,212,707,839,199,945,519,922,772,917,391,841,908,106,363,431,
460,268,886,318,486,025,845,088,560,335,114,319,758,212,865,825,962,619,975,
090,126,562,130,321,660,378,217,524,374,452,371,101,288,974,048,612,774,416,
206,483,930,845,519,706,012,381,339,129,852,799,344,821,027,835,646,108,997,
780,466,050,345,475,600,058,933,214,099,925,072,923,903,362,944,403,257,773,
352,094,793,017,187,485,350,787,987,923,373,606,674,471,170,264,286,220,605,
650,664,669,821,283,868,284,942,149,277,913,988,279,774,985,912,864,095,301,
265,255,962,862,764,553,092,749,557,471,953,004,991,775,946,970,664,197,233,
184,245,477,204,235,043,665,564,438,522,670,139,366,357,171,696,776,695,810,
324,452,954,319,848,876,479,734,697,677,929,662,883,125,719,558,900,041,153,
610,643,046,059,067,532,953,173,528,895,743,741,930,883,548,621,378,672,802,
667,523,366,932,043,550,105,570,127,289,648,007,616,669,152,044,054,347,465,
497,415,212,485,103,993,575,201,318,275,201,921,960,507,689,513,054,607,970,
024,282,147,168,592,861,756,720,787,439,961,591,185,094,506,463,526,800,292,
871,399,940,405,999,722,546,629,741,052,434,414,676,436,217,335,444,530,652,
509,232,747,064,818,343,879,269,266,518,944,888,666,182,144,474,275,981,809,
409,139,692,631,006,558,656,429,027,378,648,697,672,514,876,581,908,655,409,
840,966,147,781,602,868,801,956,399,865,059,880,284,975,863,923,456,770,385,
352,469,375,410,694,761,875,796,646,139,491,641,899,367,570,819,408,341,635,
122,730,977,981,562,519,883,825,833,949,833,583,480,392,380,086,374,625,401,
453,299,151,778,825,188,093,126,374,472,819,323,782,667,862,827,667,691,666,
077,883,405,685,540,924,521,082,716,283,853,529,635,986,691,275,590,337,018,
473,217,359,316,831,989,174,650,973,019,284,947,827,723,312,491,778,807,911,
365,586,003,377,587,486,906,532,064,845,458,285,786,180,093,363,675,881,932,
168,933,412,722,999,464,880,429,005,420,012,764,953,574,847,766,392,056,471,
554,398,886,800,858,516,045,312,558,365,491,521,698,651,130,011,861,156,611,
943,590,856,953,093,595,159,059,762,828,376,906,484,767,877,845,838,391,008,
817,630,257,916,328,154,318,962,644,791,961,631,384,509,556,755,302,567,252,
391,186,778,036,627,529,370,708,899,485,861,316,409,926,723,118,053,433,253,
662,124,124,420,409,532,941,241,422,794,235,609,087,273,422,705,774,585,997,
144,386,531,096,620,695,606,586,225,478,964,913,876,254,883,596,416,528,237,
556,921,726,295,827,469,662,083,319,159,140,738,902,904,173,657,535,365,241,
858,739,003,174,311,910,609,362,195,747,614,166,845,335,881,961,648,480,158,
154,686,645,697,831,054,233,337,763,047,196,761,182,376,586,882,860,564,992,
691,412,436,611,418,028,860,591,568,883,168,240,225,053,327,475,720,111,468,
497,916,118,748,163,559,985,832,940,053,005,396,198,583,039,322,239,750,809,
928,652,774,670,249,660,632,312,231,155,362,466,113,260,736,915,915,549,843,
576,625,364,281,902,246,078,750,497,033,462,296,263,566,107,139,079,621,722,
048,302,547,384,298,984,756,509,444,473,770,281,046,126,635,044,942,758,049,
475,464,386,436,562,378,917,253,312,922,618,434,191,200,722,043,282,415,332,
292,837,998,793,974,842,297,482,687,113,323,398,806,390,984,855,863,932,623,
369,335,244,293,126,132,888,010,821,582,668,794,054,325,738,011,367,683,483,
166,121,891,240,085,080,144,083,844,217,665,490,620,873,628,941,601,821,972,
219,672,492,677,650,405,487,353,632,352,397,340,615,745,460,301,986,028,821,
732,811,758,599,255,922,013,809,401,850,665,984,082,019,202,098,494,116,677,
991,870,080,620,755,037,038,365,916,431,449,887,622,876,633,353,998,607,591,
372,388,991,418,634,865,298,535,699,708,350,728,778,480,480,755,516,613,917,
398,540,214,000,680,810,684,065,672,381,741,625,617,483,997,352,938,028,363,
993,198,824,518,792,840,718,612,168,676,988,710,910,552,936,481,835,632,236,
841,303,576,467,996,159,576,075,208,854,922,901,969,531,124,244,519,715,801,
008,345,187,891,768,291,378,458,865,651,548,639,620,159,845,145,927,162,717,
309,443,214,621,208,078,246,598,175,318,120,666,709,083,951,980,566,161,177,
177,463,089,562,313,589,553,499,712,869,132,353,561,087,252,270,151,915,805,
992,114,533,358,561,083,974,127,733,040,508,470,199,398,379,528,984,729,071,
789,169,790,306,319,783,922,520,869,171,225,231,982,055,988,740,900,084,416,
684,000,196,572,441,233,448,977,050,471,525,589,022,796,196,085,124,959,878,
833,284,627,596,328,446,721,935,754,076,474,178,120,790,683,899,234,873,711,
623,635,901,568,954,987,618,620,152,190,839,229,038,084,633,258,977,054,405,
843,698,453,561,030,393,454,526,619,904,955,297,856,095,654,340,099,040,145,
980,207,179,870,387,403,926,792,215,013,394,859,873,194,546,001,158,053,609,
090,201,856,418,178,806,646,459,016,243,156,187,701,536,337,740,560,424,989,
852,114,881,018,214,376,284,219,494,659,026,126,688,191,308,105,302,284,266,
482,910,010,352,448,469,726,472,669,438,590,942,003,527,413,032,721,003,246,
995,961,143,382,768,970,699,336,893,242,828,565,622,629,797,492,766,375,496,
255,068,228,726,212,350,431,620,705,745,465,477,781,188,375,025,834,443,795,
912,154,605,865,555,696,222,548,163,521,004,766,896,898,162,521,492,328,311,
328,140,366,093,817,122,552,515,223,951,999,215,296,649,615,420,236,297,973,
323,917,943,550,471,232,027,207,408,864,804,749,191,845,961,846,091,463,299,
285,253,281,445,987,944,353,181,699,270,517,015,821,344,380,760,246,506,191,
252,561,225,081,461,085,247,190,885,460,830,409,726,107,629,175,569,284,102,
154,529,290,822,235,156,657,970,145,911,639,433,168,915,948,977,498,597,234,
802,178,119,592,848,097,060,132,785,486,346,610,600,189,509,414,115,767,894,
667,512,854,655,173,735,978,756,249,361,296,756,031,667,068,910,711,359,360,
264,010,294,946,647,414,905,847,491,385,219,091,449,967,554,779,538,419,348,
336,413,619,442,643,631,395,820,315,936,071,916,761,849,105,924,143,048,418,
933,521,288,844,325,491,630,694,941,485,434,845,377,869,401,988,159,974,726,
459,087,573,825,162,983,208,765,027,255,545,085,130,474,880,182,495,973,345,
436,926,521,524,831,348,337,625,747,647,462,610,294,367,830,542,419,913,755,
770,465,612,915,660,811,121,302,353,733,756,501,328,250,565,826,506,862,582,
932,854,471,457,939,096,001,258,804,287,567,245,476,003,663,157,751,495,002,
693,329,441,803,226,812,846,340,324,867,866,296,860,692,947,077,416,843,849,
009,528,698,011,999,984,292,988,065,412,063,435,787,729,228,819,175,386,110,
807,379,741,010,165,007,627,427,802,420,244,182,579,566,541,895,171,169,275,
934,873,515,972,640,064,531,308,758,015,633,550,452,245,292,785,259,721,888,
318,189,556,100,841,577,651,675,886,328,360,732,810,857,428,738,218,221,620,
000,869,049,197,517,990,897,710,984,395,727,854,742,026,625,705,546,887,371,
820,082,459,681,441,032,308,064,583,160,251,159,276,453,460,754,166,548,797,
028,366,919,149,636,334,426,315,172,072,188,196,246,466,456,665,157,788,145,
853,596,529,808,165,673,700,452,858,271,557,606,163,851,144,830,766,763,037,
927,603,675,369,977,165,266,638,788,022,273,108,971,019,220,859,554,904,215,
617,993,484,453,358,331,269,462,870,509,509,328,903,194,662,629,345,226,859,
000,114,323,206,235,231,401,005,842,541,410,593,986,398,547,855,222,589,934,
393,285,530,287,176,793,205,773,314,526,731,251,699,174,343,500,557,175,305,
010,691,979,286,696,591,902,240,568,223,495,353,452,003,017,995,818,191,761,
051,202,729,676,024,704,351,051,542,839,434,033,230,339,184,215,959,125,853,
077,538,553,729,688,079,391,523,941,310,293,787,428,529,345,000,688,108,534,
985,279,070,047,393,432,548,062,048,056,801,993,407,355,217,579,310,864,965,
095,400,690,950,617,352,932,968,546,820,936,330,918,110,944,050,114,908,120,
343,080,241,503,592,169,354,943,779,078,157,500,608,956,197,874,043,495,934,
980,985,376,789,312,858,708,190,127,132,145,706,624,580,604,026,669,297,569,
562,001,885,718,984,051,541,866,315,253,398,146,093,309,221,764,288,392,128,
087,629,321,835,061,961,940,838,517,932,249,103,982,124,628,108,116,175,522,
191,291,868,805,278,177,701,034,744,169,410,854,811,112,421,028,431,600,783,
061,400,107,044,673,974,581,973,034,337,185,293,707,686,656,423,733,051,852,
280,270,100,181,513,083,929,113,910,581,628,881,949,100,561,541,889,983,115,
988,094,580,678,396,041,820,621,972,173,031,144,021,314,653,561,011,200,206,
777,452,323,595,762,371,457,554,926,044,282,879,381,147,096,443,413,826,059,
729,519,560,800,647,997,785,390,609,522,352,473,639,560,518,733,713,171,283,
078,975,305,051,231,923,704,752,566,917,688,396,027,943,934,135,719,877,705,
652,415,699,070,747,912,886,406,311,143,798,687,185,979,381,710,571,927,234,
040,335,351,708,312,150,349,271,428,490,385,188,285,624,684,840,366,151,034,
847,901,072,559,148,972,909,506,140,752,291,071,513,810,804,649,723,275,859,
591,213,731,258,825,231,542,764,999,904,771,398,938,187,213,965,893,843,584,
340,021,782,869,077,519,431,054,293,280,098,827,994,688,115,076,964,083,841,
062,181,893,295,762,969,285,237,688,948,377,504,776,569,985,240,019,991,555,
337,816,527,776,916,435,509,806,310,810,309,367,544,560,932,958,867,415,196,
732,440,588,966,954,362,466,949,899,339,064,355,310,640,427,273,670,687,063,
994,689,201,038,860,576,858,632,027,769,628,035,506,483,136,452,107,822,517,
319,964,709,939,399,420,783,971,352,153,577,702,293,153,795,302,275,987,621,
665,415,992,699,371,214,539,781,738,725,952,716,384,855,048,726,215,214,414,
249,532,494,828,112,303,442,283,225,607,201,682,437,453,489,201,214,714,565,
992,608,331,936,813,198,603,933,250,009,728,501,058,414,818,901,693,305,927,
476,601,558,413,628,431,992,431,181,920,027,554,132,095,082,408,945,538,908,
299,474,861,278,101,617,712,467,270,057,114,691,770,392,276,569,839,607,553,
275,219,500,182,598,801,063,862,580,617,914,138,639,899,303,278,418,407,561,
066,228,786,178,241,192,281,478,710,464,994,020,260,454,805,183,505,130,975,
135,504,777,371,085,683,708,759,319,968,386,537,030,828,861,731,429,780,750,
898,693,072,679,067,082,931,552,793,688,151,852,542,058,060,677,296,835,657,
881,576,102,194,025,296,950,350,265,640,864,825,797,661,736,700,701,382,928,
139,572,085,957,276,890,942,197,344,261,574,365,927,934,514,805,470,538,814,
772,767,008,324,738,005,176,570,511,875,624,121,321,181,170,023,278,135,373,
216,049,080,847,573,908,142,208,599,304,345,174,431,387,913,874,268,512,049,
411,013,077,475,877,553,134,074,787,251,672,424,320,933,215,935,473,778,303,
044,336,951,805,497,265,222,553,578,598,213,904,617,687,192,498,139,683,551,
057,987,861,944,315,071,681,617,725,723,874,750,976,660,084,143,779,246,178,
914,118,750,506,732,030,764,748,200,557,639,210,539,149,733,694,647,614,161,
859,695,891,115,180,266,449,467,766,063,260,928,008,434,699,675,971,490,911,
366,267,029,031,690,987,071,372,998,322,523,860,739,792,750,143,476,586,529,
944,405,654,794,354,927,295,582,186,190,584,905,351,605,376,282,627,717,346,
969,316,683,698,241,855,661,976,810,785,823,277,062,744,561,878,417,630,570,
642,170,280,571,169,691,582,931,867,950,304,987,364,382,938,052,300,548,795,
124,175,625,063,950,167,124,242,019,783,778,482,316,621,809,057,795,062,100,
059,819,669,308,805,502,919,872,952,029,482,477,490,379,559,052,422,609,865,
020,485,912,369,442,974,670,039,497,013,999,175,848,822,568,310,774,938,756,
773,462,870,426,639,959,442,624,506,040,659,996,580,650,642,907,954,588,699,
626,824,416,216,022,778,049,620,415,708,418,940,436,409,577,165,288,651,314,
353,962,742,437,101,382,667,917,174,559,199,846,177,731,240,406,538,498,305,
458,114,582,702,550,373,408,670,546,392,138,694,131,672,057,358,381,355,151,
141,846,637,754,317,513,608,587,280,876,577,441,110,784,961,296,336,190,285,
753,981,735,719,510,139,189,446,658,192,060,112,521,615,403,668,179,548,215,
184,877,231,356,414,874,121,932,845,103,988,038,193,737,039,650,979,999,284,
944,715,961,762,347,631,193,597,945,193,784,786,177,372,164,822,683,629,407,
512,994,646,121,747,973,767,946,307,322,025,806,712,414,429,805,597,305,989,
374,826,489,624,246,942,716,795,402,266,779,622,303,975,436,249,179,376,476,
765,288,339,926,183,408,513,508,732,596,387,053,048,850,993,927,103,392,067,
219,044,330,984,387,776,738,556,711,775,248,387,957,851,214,851,328,487,164,
740,665,273,234,177,142,858,191,317,404,636,548,173,970,206,631,563,602,852,
852,043,015,968,978,219,081,572,093,406,069,454,825,600,783,367,015,697,323,
252,634,323,961,771,401,065,101,746,899,955,705,162,319,577,768,187,387,394,
191,156,916,356,748,307,878,520,094,638,313,603,317,216,334,251,815,648,056,
330,602,832,490,894,446,725,763,020,592,699,521,025,501,327,793,900,580,314,
057,520,219,526,952,436,832,380,683,001,000,291,558,839,348,859,132,116,357,
238,382,876,631,862,069,096,720,487,369,453,075,829,640,946,809,864,296,986,
653,406,288,291,759,901,758,073,707,140,386,376,979,319,310,364,983,008,683,
469,937,493,719,000,584,233,867,390,247,963,772,377,053,944,430,923,840,223,
727,853,512,246,483,396,168,389,759,214,511,783,619,301,954,036,184,997,829,
158,281,388,238,184,686,258,943,484,785,346,037,630,381,950,511,622,139,167,
962,632,902,757,339,502,496,182,915,727,948,872,911,008,307,225,664,664,251,
112,441,874,241,201,603,231,608,343,418,374,973,345,978,450,599,948,418,185,
323,707,712,425,051,234,372,317,590,574,043,387,769,328,145,570,244,770,242,
680,134,408,425,297,657,255,893,047,677,069,504,814,626,019,039,403,359,448,
456,945,905,071,845,769,190,153,631,703,175,535,304,669,340,279,180,427,972,
277,875,536,392,914,015,436,808,648,285,474,907,756,978,605,761,647,550,548,
166,284,821,168,483,479,374,557,597,202,871,010,422,480,438,185,468,980,186,
913,981,956,201,894,521,319,578,918,763,238,886,397,527,660,170,613,292,951,
034,977,205,310,436,952,430,226,089,661,548,675,059,698,403,678,786,514,004,
916,467,481,473,210,696,065,510,883,349,774,057,059,841,564,178,335,544,275,
755,577,767,386,289,756,508,644,867,250,567,140,611,584,489,348,534,681,114,
463,773,894,996,309,032,277,514,667,816,437,453,847,491,345,707,804,852,650,
378,684,619,031,385,598,470,070,712,030,437,313,825,060,159,105,573,273,609,
007,785,069,479,943,279,389,815,242,706,238,149,440,761,966,342,519,038,523,
331,563,081,914,511,711,345,954,812,306,155,523,837,973,182,710,560,549,763,
967,314,759,285,991,339,712,374,520,393,836,402,212,204,434,720,280,831,567,
125,849,270,032,455,167,766,137,928,599,543,080,098,450,478,676,418,496,452,
870,863,969,348,584,229,186,757,540,820,384,326,846,146,042,045,398,404,239,
880,124,978,929,006,010,953,568,998,954,543,499,588,265,801,130,895,179,690,
071,096,576,720,220,186,339,471,335,721,536,162,395,591,285,671,359,444,874,
500,264,935,276,450,337,563,358,618,491,414,798,916,199,317,671,652,200,575,
368,334,324,444,649,967,041,334,802,657,722,026,954,222,816,333,735,782,841,
670,576,425,728,314,755,067,254,460,705,165,360,982,649,703,701,552,727,395,
130,354,365,295,685,650,457,267,485,181,333,622,736,879,797,946,001,764,571,
287,492,622,619,406,843,206,724,522,324,706,998,328,793,183,155,964,985,380,
125,188,982,145,000,812,039,084,090,185,722,136,820,502,603,833,991,775,785,
199,628,514,364,689,051,885,458,893,930,661,711,415,131,784,680,527,257,296,
003,863,602,602,410,087,177,104,343,541,280,930,602,995,864,324,840,584,185,
439,694,024,147,233,511,987,029,182,951,097,371,266,400,087,530,172,893,082,
264,350,732,930,321,548,038,198,483,770,043,768,974,637,942,254,403,388,091,
328,772,025,137,920,605,818,624,057,966,325,161,496,302,923,311,150,206,117,
294,675,778,083,262,596,883,162,628,566,027,823,625,094,578,680,386,421,441,
358,037,194,706,120,687,258,635,288,884,111,655,206,438,392,020,087,320,413,
966,828,390,440,502,520,672,767,768,922,316,125,905,123,199,066,665,008,336,
457,327,884,805,888,840,429,369,951,266,007,500,643,114,262,730,697,120,585,
718,695,153,087,431,150,761,416,145,883,689,237,639,986,534,920,226,767,444,
975,185,837,112,631,105,564,535,199,275,440,670,255,071,738,959,011,914,504,
682,338,121,824,003,002,983,197,242,245,851,996,357,701,860,454,268,287,630,
042,641,131,641,831,440,887,419,268,648,695,985,461,931,828,166,562,501,923,
500,876,085,136,442,525,004,020,831,300,984,005,323,402,408,308,059,570,650,
767,753,453,103,920,011,636,429,559,866,334,805,696,035,818,782,410,401,753,
131,313,116,694,042,387,243,182,322,745,016,248,005,094,535,470,694,512,559,
168,620,385,899,981,133,816,132,733,210,022,375,360,566,869,936,997,896,129,
172,864,958,126,106,534,617,141,776,557,807,272,825,782,370,833,967,415,477,
370,297,166,684,658,690,051,541,721,742,442,259,964,981,158,189,620,111,298,
261,924,857,028,375,106,632,719,351,602,545,993,055,094,167,546,622,170,401,
347,868,806,949,383,748,106,037,140,747,336,721,334,996,024,040,665,940,858,
567,203,180,135,806,702,465,701,779,430,798,947,943,866,222,311,576,581,165,
684,330,312,306,964,463,276,981,815,688,321,999,400,624,377,367,161,379,335,
873,586,482,424,216,591,010,678,345,797,708,453,728,458,082,739,193,183,427,
275,680,619,888,216,223,384,941,694,969,319,111,368,678,308,137,641,659,375,
387,434,671,086,881,096,668,198,781,071,897,623,054,905,195,769,600,328,683,
661,532,972,388,899,918,664,521,581,482,345,009,239,870,274,908,581,425,145,
171,105,161,241,754,146,761,346,031,670,425,802,201,168,220,729,769,542,767,
651,202,910,292,350,405,444,414,213,339,974,763,745,977,399,330,495,804,952,
073,261,183,674,444,586,054,650,688,473,051,160,232,353,067,140,852,762,354,
589,080,618,883,039,047,818,417,346,541,461,973,955,203,097,312,163,196,998,
477,099,587,061,688,329,489,352,893,700,350,131,105,697,591,207,872,757,574,
119,822,391,029,747,271,631,554,204,081,518,977,686,898,960,403,454,482,051,
631,526,564,517,703,284,033,999,800,935,163,671,376,834,426,496,257,567,974,
884,438,499,562,637,924,855,666,335,545,638,151,637,915,896,210,006,272,840,
899,204,808,661,117,008,311,186,254,228,830,137,657,388,840,499,233,950,649,
539,860,684,716,991,688,119,150,111,803,627,652,492,425,123,558,074,689,472,
748,536,839,977,690,981,191,339,360,316,873,120,065,121,448,694,731,900,525,
215,621,515,352,008,963,701,905,292,581,094,780,943,411,378,472,722,754,642,
110,584,725,054,004,295,227,145,846,851,594,700,573,316,637,768,021,793,263,
154,225,463,078,516,732,099,671,668,631,732,438,164,794,096,957,863,856,852,
710,177,620,224,519,446,127,820,413,975,095,218,838,770,139,163,819,022,393,
181,513,476,991,121,073,608,251,471,848,412,669,390,846,448,554,817,243,662,
310,187,300,446,977,769,868,742,223,521,865,313,902,676,912,571,271,787,019,
147,210,314,087,366,537,823,141,654,291,754,290,966,804,130,987,200,241,495,
064,701,252,844,380,679,963,749,456,123,012,441,701,310,637,949,620,298,833,
484,788,303,271,171,121,887,376,968,832,599,402,523,976,182,277,479,672,218,
642,846,442,064,163,497,676,029,173,200,278,101,826,056,575,662,208,160,935,
360,599,834,059,391,775,516,735,521,958,455,500,446,869,553,656,743,363,753,
677,937,079,301,591,325,086,907,359,120,054,689,388,356,396,575,588,984,006,
990,415,669,945,347,734,449,847,860,777,027,771,071,503,065,528,618,833,409,
025,788,896,328,753,353,073,673,045,959,325,724,028,593,226,816,543,236,873,
217,802,704,307,023,364,263,642,121,850,337,372,041,266,668,766,419,814,008,
450,278,089,247,679,847,050,979,372,505,629,253,317,146,238,513,527,810,495,
270,856,120,287,332,195,150,895,333,313,494,888,765,052,785,054,966,040,380,
742,927,775,313,497,838,886,965,121,676,977,816,682,190,255,216,887,639,169,
793,110,078,699,277,807,901,049,359,332,725,174,277,043,806,711,589,378,590,
160,426,343,447,706,357,588,869,298,303,699,439,126,356,780,879,381,881,633,
361,936,564,112,545,617,584,283,412,991,915,119,360,706,710,100,248,110,438,
305,466,312,269,286,601,928,453,674,535,275,727,588,929,730,311,372,225,637,
750,576,293,153,091,262,106,931,862,085,495,515,941,410,338,054,769,582,121,
082,023,064,344,803,933,932,912,944,185,445,955,196,306,590,325,601,453,935,
574,444,803,018,541,602,333,306,910,703,025,743,154,547,879,123,989,169,508,
326,030,736,690,870,787,987,593,585,931,149,433,702,530,646,591,429,258,210,
826,318,172,651,550,846,134,478,542,153,791,377,026,090,484,963,691,194,738,
636,368,716,065,682,800,702,156,906,869,232,474,403,156,075,999,193,578,551,
844,036,177,801,142,104,971,702,989,919,509,989,003,155,073,400,868,494,968,
004,188,040,324,089,686,329,164,292,202,784,168,643,336,872,865,257,542,439,
777,134,401,373,100,459,636,469,810,013,270,562,670,069,289,878,379,055,639,
784,312,442,852,141,089,544,513,382,988,500,371,867,302,605,918,314,260,321,
006,188,646,398,195,553,052,167,165,616,550,740,339,215,776,290,718,535,845,
945,526,925,683,324,818,042,938,433,358,034,541,831,839,097,462,080,480,174,
611,928,616,690,919,710,594,813,964,643,418,356,081,091,912,339,137,708,279,
942,799,643,625,674,902,314,574,796,087,013,189,897,425,040,534,623,286,372,
516,352,387,592,568,375,581,274,721,869,716,768,143,108,827,242,144,330,706,
251,178,177,162,016,647,839,486,853,953,595,957,135,056,464,115,011,164,122,
630,759,113,743,200,197,017,496,720,989,279,704,075,771,330,910,329,344,378,
167,656,798,570,221,066,825,836,132,999,494,240,473,698,617,064,820,544,199,
416,468,238,097,655,780,696,442,368,636,916,594,687,702,453,670,926,113,444,
559,478,127,478,041,075,596,364,695,397,215,121,131,103,766,751,956,228,855,
390,400,769,912,833,770,932,730,399,309,902,155,463,583,919,071,655,800,036,
154,333,153,973,485,301,165,254,803,257,592,227,668,283,534,377,250,181,259,
240,463,195,380,377,522,712,614,505,193,911,985,083,008,043,711,734,828,268,
811,870,502,546,712,170,932,156,815,789,314,010,056,313,884,793,281,082,442,
498,946,824,132,063,425,965,779,079,864,974,519,716,019,064,225,983,311,335,
713,780,958,481,784,998,719,707,180,456,068,793,744,392,696,946,765,407,878,
503,297,683,634,894,741,855,043,474,143,249,626,098,598,093,565,661,675,796,
852,347,753,772,010,545,642,786,436,044,180,179,326,145,137,564,365,328,630,
022,681,393,641,707,076,837,720,493,245,867,339,883,495,055,089,328,562,343,
323,800,937,097,721,704,252,988,330,234,229,554,833,086,476,652,434,002,852,
966,870,603,475,944,958,121,373,879,017,481,861,963,027,405,864,459,573,155,
700,772,794,591,249,818,666,477,514,722,209,425,706,993,717,491,205,243,378,
384,806,240,258,626,943,984,244,081,118,585,235,376,839,482,166,156,932,240,
488,078,203,390,760,921,863,436,229,067,297,528,790,969,514,078,869,177,042,
386,660,369,146,065,831,153,282,481,723,297,376,709,138,244,448,241,857,632,
045,804,428,918,864,215,991,697,436,234,396,128,196,823,441,691,109,439,540,
341,823,807,457,355,459,120,884,268,577,575,319,524,874,102,488,203,816,790,
670,109,381,789,711,943,755,502,570,390,240,941,939,873,472,113,230,894,683,
308,125,904,317,401,664,868,580,666,288,277,867,122,006,477,575,501,899,406,
459,921,679,064,268,397,391,926,079,347,646,797,722,704,700,308,714,202,164,
553,058,809,860,817,122,469,434,409,099,551,190,465,180,744,066,088,276,194,
016,563,048,511,124,548,819,426,976,566,897,367,596,896,584,591,297,400,129,
900,541,517,753,418,769,510,427,844,878,452,355,708,594,988,188,063,534,925,
357,128,538,642,611,150,740,944,075,710,206,248,462,338,539,114,284,036,785,
040,200,851,852,546,419,661,890,018,070,289,791,957,276,078,303,005,669,595,
482,679,962,925,407,262,268,572,208,572,523,026,645,251,081,466,291,808,585,
320,144,389,819,599,175,389,322,399,389,055,556,370,855,145,910,369,376,942,
318,974,692,932,359,831,892,073,257,697,310,547,090,966,324,786,695,773,625,
606,291,085,599,648,455,201,356,917,955,037,599,980,412,705,567,873,429,422,
452,475,247,089,207,391,859,960,449,512,045,027,899,762,863,302,112,917,558,
897,844,325,157,456,535,502,923,420,958,178,825,262,561,234,722,789,136,970,
523,078,975,910,282,178,980,269,068,113,264,775,796,250,341,628,571,327,611,
582,538,820,289,236,848,300,904,963,700,200,581,798,406,993,672,697,539,066,
132,447,798,568,261,028,175,891,822,312,134,668,210,746,386,567,209,263,301,
021,916,696,979,116,366,249,577,419,428,708,249,313,310,820,912,445,891,438,
971,276,237,082,380,372,805,637,534,620,881,089,330,464,859,258,221,101,265,
145,639,558,168,827,599,849,890,812,746,507,276,993,249,375,540,268,791,470,
447,596,814,344,830,400,831,149,312,968,836,348,564,212,661,694,631,616,647,
356,430,262,999,120,296,156,324,444,178,147,183,487,063,012,467,078,205,189,
361,820,687,044,095,972,813,208,850,191,930,190,040,122,990,535,868,352,325,
336,385,188,616,918,035,996,501,953,529,806,223,804,991,025,798,638,807,341,
682,322,489,307,032,570,900,608,380,114,284,154,911,884,402,576,845,658,995,
715,306,404,320,158,791,825,848,797,236,591,954,693,300,987,788,523,920,575,
284,829,568,228,865,658,114,572,850,975,518,583,101,069,057,521,996,871,025,
948,917,628,222,585,848,479,328,802,196,138,732,730,854,843,300,762,734,438,
940,678,942,484,739,995,956,195,289,090,734,630,973,956,023,172,940,302,555,
526,703,179,280,730,134,005,276,534,653,517,035,079,228,243,368,815,550,649,
913,286,467,747,751,312,530,007,515,371,127,857,714,988,457,847,171,027,651,
779,751,695,130,605,322,002,235,691,227,807,848,285,340,262,626,564,384,573,
897,903,512,818,588,235,724,622,319,524,419,809,496,932,941,493,053,881,750,
428,968,094,550,089,968,689,236,642,447,644,116,325,960,691,727,356,169,345,
293,491,455,080,128,017,240,510,283,437,219,247,270,362,996,235,837,189,127,
902,509,017,122,774,561,729,353,364,953,308,596,870,472,518,204,523,275,899,
398,532,329,661,257,850,393,013,242,300,590,233,676,905,896,035,631,207,980,
296,547,445,544,846,967,196,572,155,489,528,150,573,431,181,573,012,867,331,
008,269,758,748,855,403,854,739,042,322,848,109,344,525,207,121,131,992,504,
650,589,644,190,644,460,052,006,279,488,901,083,216,214,417,481,451,552,154,
144,152,431,427,514,234,602,085,859,737,844,910,203,074,229,608,024,478,471,
640,797,767,939,131,702,867,805,801,870,713,895,726,551,605,253,191,065,735,
948,972,258,060,547,718,780,833,741,750,509,518,603,088,930,467,689,743,758,
720,310,830,867,717,508,507,780,313,725,292,755,021,489,755,817,064,152,062,
276,137,962,887,653,683,943,772,895,482,057,401,484,825,884,942,295,720,294,
120,363,522,431,288,129,177,267,104,063,553,276,250,690,382,427,159,463,534,
006,941,462,155,914,416,738,090,517,635,084,075,684,955,872,812,447,239,386,
439,079,749,259,418,111,952,660,111,830,671,662,543,866,188,591,837,025,986,
307,110,518,668,228,395,445,577,028,176,901,333,236,345,852,556,825,144,807,
073,505,569,910,608,736,011,702,653,294,601,140,493,448,367,546,493,015,891,
633,778,801,603,609,386,110,478,942,024,377,577,500,765,673,113,952,209,964,
479,049,040,768,793,977,539,247,150,589,898,238,618,490,321,460,894,074,727,
734,969,691,478,343,419,072,780,554,002,011,971,170,142,285,373,301,649,438,
904,775,167,326,021,965,783,326,843,641,908,149,637,609,765,453,093,871,053,
283,524,755,811,716,778,935,473,406,133,441,140,146,590,453,181,421,048,463,
632,830,573,882,083,417,941,686,550,997,184,518,687,270,363,814,861,688,088,
263,902,395,459,870,755,825,946,817,310,191,680,830,076,061,963,558,373,617,
688,993,361,205,055,178,816,319,758,227,379,431,670,423,255,664,985,465,230,
602,327,908,128,073,624,850,078,247,178,796,987,708,185,287,954,812,512,569,
871,300,675,946,501,399,626,397,779,015,389,770,106,829,010,740,336,782,579,
330,989,035,729,159,851,726,939,929,405,119,612,483,886,007,731,567,450,027,
580,586,565,425,983,452,691,745,548,182,998,433,082,507,763,906,411,896,707,
269,982,335,953,418,956,440,697,446,899,089,094,450,077,370,860,308,230,762,
508,120,682,114,234,738,493,093,386,288,896,344,200,225,057,808,858,368,661,
840,512,529,228,449,909,228,368,398,411,158,517,551,315,550,199,595,058,769,
864,834,468,831,005,100,220,033,829,867,826,506,921,930,136,330,391,603,767,
466,480,650,746,697,027,331,691,570,138,018,549,659,743,088,582,818,288,765,
286,939,110,214,350,897,070,849,755,813,370,763,476,963,429,741,711,280,505,
264,180,346,794,232,468,396,884,898,326,548,646,591,491,240,456,195,629,752,
984,294,051,723,394,587,660,059,912,757,244,707,331,092,319,853,135,081,945,
802,354,369,106,134,432,773,775,681,405,918,488,548,418,604,388,390,577,475,
486,402,014,125,755,135,393,802,821,536,866,993,506,189,574,252,792,986,504,
283,736,566,652,172,689,865,502,216,009,490,153,086,697,648,670,710,068,694,
774,889,596,194,378,332,500,929,818,478,213,073,177,733,989,397,513,624,914,
456,230,940,064,581,971,530,930,210,973,991,045,962,342,510,395,593,094,142,
719,595,270,070,998,964,607,793,726,227,768,425,044,891,462,618,838,051,858,
704,483,877,381,076,384,323,349,042,661,785,632,936,782,428,975,206,413,261,
009,526,287,325,638,621,007,081,228,158,637,702,635,654,252,534,867,837,592,
096,424,392,078,858,984,959,440,426,063,184,568,849,902,070,259,074,834,502,
270,871,066,440,378,275,147,894,248,826,960,274,062,954,905,550,070,310,130,
740,738,317,182,266,492,866,863,845,927,022,047,086,628,313,484,948,481,187,
029,571,498,186,580,511,014,402,975,110,376,567,471,313,841,705,253,923,461,
640,537,767,655,886,528,479,173,570,032,933,927,970,531,351,181,610,254,957,
955,118,636,501,127,567,753,803,931,594,427,942,388,761,124,977,321,578,500,
313,958,156,699,333,506,922,794,092,606,939,337,489,975,417,400,577,153,275,
072,235,184,520,695,014,622,364,690,375,411,149,036,191,910,227,302,626,389,
521,018,281,255,458,292,425,262,290,770,277,212,957,342,045,489,378,677,419,
340,447,108,221,180,266,233,761,468,315,758,251,608,243,916,265,318,225,892,
749,543,896,845,858,014,984,658,978,253,282,715,680,795,097,967,479,326,805,
668,033,357,606,512,055,330,750,499,153,823,565,861,922,058,372,844,450,072,
736,172,029,941,880,594,464,899,851,934,339,257,405,538,728,362,949,871,566,
006,357,518,126,106,577,448,430,771,846,595,947,117,446,204,248,502,322,632,
043,142,273,368,986,089,233,967,205,126,828,481,534,433,752,725,365,962,980,
763,594,459,161,721,223,636,424,734,718,219,673,414,702,300,666,188,961,045,
434,069,796,933,003,233,682,414,071,945,931,435,307,310,829,061,664,696,411,
564,848,665,890,098,778,478,383,157,186,220,517,363,518,781,128,145,343,251,
934,858,960,012,892,261,900,444,220,858,388,350,567,067,888,102,954,771,677,
112,067,046,359,704,355,241,027,312,813,225,075,942,544,339,852,546,973,214,
853,523,395,758,471,661,379,001,630,161,799,035,645,617,181,032,705,710,266,
419,945,424,471,065,407,125,068,158,511,605,071,022,655,875,807,219,867,079,
506,438,271,528,940,570,638,664,609,398,915,468,915,822,156,493,945,247,803,
218,745,964,689,190,152,136,894,012,584,558,409,861,035,833,263,408,188,988,
863,784,940,386,531,354,122,799,041,065,241,173,976,764,835,852,738,308,398,
798,210,595,015,448,595,812,916,857,041,063,125,193,233,300,197,146,355,451,
995,939,445,698,429,409,298,974,756,415,960,247,395,403,933,906,123,637,222,
728,388,383,445,183,655,077,208,283,925,110,229,329,317,704,654,856,694,957,
028,185,007,928,188,445,099,930,067,949,213,708,030,446,120,072,409,571,005,
853,519,120,487,733,831,315,147,449,293,606,917,164,285,484,521,416,387,861,
371,899,609,141,864,507,253,063,432,649,569,365,988,888,968,910,629,786,242,
201,979,177,312,332,410,480,178,061,906,351,902,502,411,698,731,568,912,271,
814,016,034,578,930,811,849,088,022,667,150,153,493,559,313,781,294,114,826,
886,911,042,677,621,491,166,733,474,304,152,592,504,935,159,115,495,417,509,
077,079,192,135,721,059,938,339,696,939,305,897,517,303,756,415,893,432,200,
970,195,542,288,418,241,102,386,806,981,432,728,898,063,816,296,514,829,715,
324,441,143,713,098,040,552,028,316,795,137,795,509,976,240,397,414,686,127,
468,485,920,817,388,636,672,170,688,249,883,536,076,745,458,932,372,377,732,
284,356,763,170,601,801,036,916,928,902,833,695,293,000,767,326,800,097,066,
167,061,852,188,070,363,572,654,188,921,681,046,203,177,549,943,753,042,016,
918,854,916,168,515,793,668,139,967,556,700,661,958,931,099,822,109,008,567,
516,845,457,056,394,073,526,188,969,708,196,379,924,342,957,569,701,547,657,
959,799,613,199,965,579,981,507,071,443,233,274,588,115,081,450,464,614,069,
479,680,446,019,881,648,434,615,199,505,720,138,838,950,194,834,567,741,377,
004,238,316,189,192,715,720,774,292,897,906,085,103,672,482,349,642,785,473,
536,866,602,561,700,502,442,853,353,973,850,480,301,630,120,268,247,095,664,
766,876,246,574,870,908,450,061,431,052,416,999,060,492,101,785,975,775,520,
619,046,996,079,857,153,032,194,778,092,499,014,049,659,141,773,563,526,064,
724,804,707,533,206,390,736,446,280,663,172,702,802,438,691,668,082,977,055,
324,424,917,203,057,345,815,639,762,407,141,475,205,243,595,350,481,771,240,
886,775,259,281,261,039,012,804,316,212,990,174,362,328,788,728,455,267,341,
853,542,614,881,984,316,868,356,314,499,869,432,323,682,053,644,484,610,800,
716,613,403,825,563,529,021,005,573,054,720,325,436,329,731,326,583,558,883,
698,113,430,074,225,668,983,178,432,123,677,241,711,629,928,644,314,855,510,
651,006,753,910,047,964,763,519,464,351,083,139,360,889,135,365,634,072,779,
861,887,733,147,201,268,625,437,372,631,579,796,787,045,188,034,434,372,267,
755,612,562,289,356,428,712,718,323,932,045,059,194,229,207,312,276,219,566,
553,048,468,774,803,065,980,483,771,933,833,672,253,720,056,775,061,263,919,
169,233,678,215,127,577,256,323,404,481,798,799,711,571,181,324,598,580,683,
049,054,462,306,665,963,507,620,779,766,639,576,567,423,015,001,060,101,239,
147,365,305,513,546,115,479,246,715,397,809,664,031,443,626,335,612,248,490,
435,428,613,258,793,140,939,607,618,339,188,207,435,443,072,765,981,148,827,
050,389,227,244,620,287,332,109,329,084,973,537,421,564,792,261,996,317,412,
147,221,201,932,696,047,057,926,654,990,344,389,995,204,416,237,496,751,165,
447,531,481,530,472,427,910,799,953,619,048,305,049,573,223,223,449,537,033,
519,319,199,932,225,606,069,669,748,886,166,822,291,477,637,954,923,049,230,
783,128,162,836,066,817,403,495,096,620,389,114,330,435,559,683,626,787,390,
233,062,091,753,859,832,002,336,304,998,559,796,574,427,002,337,199,028,390,
088,597,108,356,260,276,790,331,875,119,437,118,477,613,919,247,083,115,317,
931,892,544,266,209,036,192,518,318,557,792,169,351,990,267,615,665,462,365,
898,896,827,270,856,013,749,881,009,179,993,920,778,647,133,969,988,124,237,
148,938,362,165,084,265,964,206,886,417,311,968,214,826,373,228,183,953,743,
404,075,763,597,162,890,681,140,658,235,949,062,457,225,145,992,486,641,211,
571,304,529,637,475,795,758,177,843,750,858,955,535,440,285,326,173,357,655,
741,692,559,546,228,900,658,604,757,139,712,327,601,353,418,378,653,089,764,
818,828,242,811,105,428,741,444,967,328,525,609,491,936,424,255,762,354,253,
444,609,226,475,890,647,924,771,744,267,936,387,293,240,058,059,097,828,745,
467,297,659,691,530,792,680,032,292,945,024,764,620,703,820,195,560,422,236,
459,693,099,523,147,810,840,659,629,212,748,243,580,507,740,522,869,826,947,
729,871,479,129,464,953,519,239,118,137,478,123,633,250,173,876,258,161,755,
893,301,343,165,549,083,713,490,380,920,642,654,699,860,530,351,450,478,720,
599,429,537,084,241,351,298,597,206,970,813,680,866,766,244,017,387,560,311,
209,291,139,307,992,433,103,085,555,549,708,106,988,628,911,647,526,276,022,
712,090,734,877,951,948,894,912,457,247,337,200,461,876,030,969,523,334,342,
805,533,417,971,061,377,566,557,955,007,932,717,535,815,999,173,106,015,688,
648,063,499,458,677,725,549,032,012,335,339,588,027,445,233,176,773,571,037,
469,029,549,923,432,487,122,887,892,259,766,592,366,752,201,977,764,637,166,
904,564,512,411,449,410,203,322,512,146,194,246,176,538,345,274,517,157,846,
167,538,247,834,210,206,578,445,630,502,221,784,750,938,157,074,606,524,961,
296,011,750,903,304,376,989,672,272,264,159,398,497,781,816,979,700,461,407,
797,116,852,276,829,954,234,181,928,503,594,815,800,611,727,384,673,220,456,
095,815,765,349,912,786,239,424,391,776,362,749,892,324,762,586,022,605,287,
989,353,941,461,295,666,486,367,519,849,899,244,398,967,864,970,781,208,021,
044,823,614,319,400,875,037,389,854,414,451,001,383,975,925,893,276,575,050,
524,519,973,534,419,086,297,622,370,505,738,633,896,769,873,690,232,842,240,
982,717,887,642,478,940,906,092,967,801,328,203,708,332,708,726,540,332,242,
981,483,121,077,481,472,669,950,577,985,152,034,715,886,671,605,653,958,707,
078,032,984,496,536,518,310,301,060,457,042,123,735,635,234,388,312,064,725,
176,958,145,306,508,212,162,673,524,320,724,504,468,707,435,840,389,313,188,
400,706,288,557,002,656,035,687,396,254,347,108,225,603,249,546,585,611,137,
031,823,649,205,329,397,876,693,002,484,426,010,221,208,976,531,137,462,407,
835,769,676,922,463,284,870,211,213,592,406,582,668,843,757,129,188,063,067,
874,390,421,349,592,369,947,281,843,650,598,280,155,059,443,738,734,597,262,
478,445,048,387,008,858,960,117,361,533,445,007,193,847,190,578,561,463,535,
848,993,386,874,167,449,668,116,320,966,100,344,410,513,072,056,400,752,939,
575,276,831,184,137,717,321,577,742,879,770,888,079,939,063,857,403,530,816,
622,548,636,973,973,507,846,062,608,274,653,292,095,031,168,993,517,237,365,
342,455,957,582,790,479,158,896,838,907,814,566,242,474,834,657,513,921,418,
749,284,018,516,365,833,537,310,559,808,846,425,831,917,602,510,753,969,628,
560,873,570,416,291,736,610,834,027,424,724,918,228,445,310,204,325,843,910,
019,510,128,775,044,549,055,238,964,590,398,326,682,223,505,344,214,038,391,
053,192,157,914,833,852,691,684,951,036,506,709,681,199,396,896,606,686,932,
946,939,683,364,227,905,590,598,242,243,999,504,780,721,937,147,516,749,323,
650,641,641,583,361,597,219,114,254,138,764,602,663,780,326,111,456,308,850,
593,846,322,965,349,858,055,014,695,266,486,418,132,006,501,624,814,327,022,
602,031,457,921,580,418,861,600,080,157,177,041,316,415,817,399,545,262,714,
947,978,621,942,402,679,224,433,960,238,762,679,371,691,473,946,411,216,346,
429,602,760,678,002,881,025,789,048,152,603,729,921,424,394,928,672,067,068,
331,524,576,922,529,166,253,919,941,268,643,363,766,957,498,197,090,477,513,
210,285,214,401,652,116,747,379,753,480,268,770,337,312,257,377,694,204,943,
452,272,172,364,414,063,557,403,566,424,334,980,096,991,366,315,269,829,565,
488,385,583,790,822,138,865,310,297,739,209,003,135,107,141,825,083,876,448,
531,738,361,044,758,767,477,997,608,994,779,434,949,682,770,189,689,253,380,
743,002,931,534,651,563,291,391,822,809,984,378,676,670,849,828,166,390,918,
191,462,241,566,583,170,185,124,118,378,101,931,347,570,753,518,133,971,030,
931,050,554,023,961,637,169,851,236,322,470,032,594,928,132,837,830,069,202,
764,845,549,470,110,672,235,376,589,933,464,053,579,419,507,450,637,199,862,
341,813,394,052,690,121,923,878,953,024,662,087,506,830,847,927,383,798,704,
084,684,417,264,857,296,440,898,535,556,924,344,300,354,855,920,415,071,841,
753,015,907,219,068,367,276,378,983,014,207,572,789,892,408,629,513,173,602,
093,165,894,535,599,336,679,942,850,067,204,604,068,701,024,779,855,310,283,
682,834,170,151,085,915,697,892,758,902,090,522,500,022,236,543,132,931,625,
766,838,873,820,477,014,908,484,428,368,244,199,577,680,382,022,998,264,325,
574,607,818,449,715,550,421,173,345,530,329,938,383,970,978,689,634,142,460,
732,234,731,839,965,265,572,366,447,912,172,589,893,743,004,959,965,149,975,
144,307,312,698,157,093,547,690,706,700,412,949,716,100,491,905,038,744,769,
373,023,304,504,525,011,409,848,116,360,454,248,055,623,390,668,741,876,733,
686,450,280,009,620,529,780,036,809,627,386,250,272,373,852,678,775,792,153,
994,837,742,147,854,694,727,407,508,369,309,487,000,002,903,175,086,732,803,
734,902,258,284,883,599,445,684,904,610,881,405,794,451,078,230,546,870,008,
616,161,007,213,172,235,962,604,667,634,157,996,409,656,451,040,545,419,900,
180,233,097,544,620,856,376,774,236,485,627,183,529,387,728,490,024,552,322,
029,246,437,976,502,244,829,255,949,408,535,326,986,416,838,705,980,085,862,
930,225,068,456,160,939,321,803,859,106,010,465,770,373,433,408,712,279,712,
330,455,724,207,373,490,882,830,171,077,765,283,681,452,142,876,871,511,020,
376,847,502,403,308,274,292,972,536,228,693,269,848,859,163,450,234,829,605,
432,095,463,887,828,656,334,505,318,649,831,731,515,216,398,259,312,367,379,
033,178,374,697,398,862,314,904,789,658,961,475,348,079,885,910,669,245,002,
631,805,423,513,547,412,314,808,473,498,014,926,492,796,235,276,340,517,574,
343,464,888,277,829,610,966,858,963,967,765,893,668,469,454,633,317,681,655,
306,444,213,350,061,998,548,691,024,215,735,826,700,526,705,015,695,105,199,
910,573,394,340,314,559,266,250,650,000,573,188,641,484,439,622,432,218,528,
030,437,937,141,546,042,058,689,889,635,485,339,742,767,854,900,781,215,230,
681,482,140,806,996,958,046,438,770,015,922,430,421,665,693,578,433,765,492,
240,780,104,748,352,862,515,166,896,696,136,270,378,452,887,874,493,129,927,
687,226,119,811,316,440,712,392,269,787,683,514,281,311,956,376,266,263,441,
177,889,649,841,220,214,777,126,888,439,451,887,538,640,525,940,602,620,917,
897,475,359,337,247,326,463,948,090,460,593,720,868,795,761,801,448,999,680,
950,219,513,243,964,808,485,363,324,445,883,604,777,997,768,682,521,871,310,
361,371,290,156,612,537,326,565,323,572,776,002,210,556,109,145,385,382,546,
946,972,118,694,576,554,970,886,533,044,452,559,765,318,778,227,576,408,238,
279,454,575,369,759,906,950,624,782,414,576,301,874,420,519,408,521,314,393,
316,630,688,171,578,792,977,186,661,943,898,085,986,473,393,637,156,625,325,
812,212,114,082,528,700,495,601,481,113,215,378,843,985,955,666,342,617,929,
102,861,308,848,083,133,922,425,420,309,178,261,268,781,556,376,613,178,079,
419,407,857,314,409,412,036,070,117,197,058,729,448,212,209,432,058,055,198,
494,730,435,925,481,115,324,648,191,994,146,343,004,620,103,704,454,687,823,
570,209,789,167,427,047,512,746,823,486,295,280,925,527,305,108,506,070,195,
641,646,036,991,905,589,584,702,960,189,931,335,421,730,298,675,801,918,862,
508,306,344,668,417,020,572,472,011,129,682,298,125,789,700,683,307,717,471,
031,956,024,567,407,167,694,220,407,877,876,472,674,994,740,020,860,108,762,
091,737,174,409,987,801,519,659,228,512,712,428,036,747,237,371,698,900,212,
466,235,914,176,268,387,446,254,212,435,930,870,075,323,700,464,128,740,298,
001,632,161,141,067,967,081,025,518,543,157,870,605,225,369,606,319,748,407,
427,993,707,383,668,269,557,496,933,835,020,934,284,079,611,627,174,877,746,
338,840,764,988,068,567,411,851,980,019,550,299,650,214,391,877,511,175,000,
570,864,101,356,554,697,811,253,787,401,311,092,229,502,060,860,683,817,636,
487,333,041,203,972,189,655,758,694,923,099,413,932,269,957,071,513,178,025,
506,669,348,975,210,504,443,605,124,937,352,686,648,900,135,143,141,867,873,
384,397,314,806,170,702,831,436,577,808,651,208,920,166,436,277,398,401,722,
088,222,460,479,384,634,991,081,956,900,349,462,643,802,445,706,078,888,744,
010,281,880,457,537,775,884,410,761,645,592,668,411,751,511,953,617,829,171,
343,728,721,459,112,118,313,340,097,445,594,038,703,896,289,242,106,055,504,
873,063,705,930,794,135,254,516,941,529,041,167,777,422,821,852,579,053,575,
401,187,760,437,801,904,154,396,367,175,261,719,450,919,665,500,068,644,576,
470,617,563,854,172,466,529,849,100,346,165,463,933,094,114,195,828,851,912,
210,188,513,568,751,141,655,451,789,827,630,238,405,147,787,032,730,192,872,
267,585,265,694,488,203,322,420,535,066,651,728,958,592,927,083,028,018,322,
300,212,506,582,980,866,834,380,399,453,011,329,489,286,451,076,228,811,173,
637,163,783,853,585,939,684,606,525,146,116,791,806,010,385,904,364,567,238,
507,328,957,762,731,967,970,185,650,720,630,786,696,375,208,207,319,377,356,
200,167,811,984,655,738,422,633,684,723,937,547,027,724,534,099,456,166,773,
322,315,774,621,435,011,850,908,140,603,295,051,302,027,869,659,840,682,556,
696,014,187,944,842,645,290,726,800,149,345,990,587,567,747,862,909,588,937,
067,251,479,349,089,843,500,098,016,614,777,869,670,020,294,525,723,641,775,
067,350,949,227,835,142,150,652,014,757,520,681,064,677,250,605,081,623,316,
866,610,226,223,606,617,988,686,238,796,207,576,597,741,689,904,496,446,732,
684,169,963,656,902,832,342,322,209,221,541,057,293,188,612,163,331,895,690,
293,319,723,395,336,694,165,443,762,521,557,856,699,744,004,536,689,299,713,
613,634,720,595,965,909,680,249,122,179,105,391,661,941,435,916,010,346,834,
826,351,920,613,055,938,019,113,057,716,859,084,726,987,474,853,327,514,468,
073,425,878,265,443,557,607,678,774,911,808,579,033,603,682,609,123,360,273,
131,789,504,834,377,024,648,379,758,161,292,603,747,525,600,351,595,774,222,
742,856,101,566,935,478,077,375,150,296,125,623,392,005,380,996,265,061,846,
211,460,318,350,732,227,135,766,859,130,001,879,602,144,983,906,481,419,693,
648,969,754,805,900,729,349,493,677,828,116,649,832,515,625,685,734,931,529,
817,299,463,430,349,182,791,777,423,734,404,888,588,288,494,317,273,112,173,
161,691,013,830,099,101,505,202,817,071,300,018,019,302,109,855,020,444,534,
513,379,635,023,063,226,057,339,785,978,413,536,238,375,563,774,023,704,493,
966,398,077,356,875,915,531,947,209,300,408,834,381,920,130,455,337,129,612,
461,565,938,102,321,180,884,439,795,204,008,298,130,469,387,200,219,228,102,
705,155,039,773,543,551,462,516,031,686,996,443,114,028,181,536,229,902,066,
296,121,582,989,150,879,218,688,960,365,741,034,457,628,061,263,846,312,850,
961,953,405,962,975,629,158,019,083,681,172,064,952,492,887,456,680,341,973,
211,356,008,942,759,877,666,589,597,559,057,421,630,440,438,433,264,435,462,
315,272,228,374,581,925,042,840,692,507,859,335,174,729,894,103,244,255,936,
116,370,156,646,727,922,329,534,021,835,974,360,636,625,862,183,481,414,630,
473,176,523,178,815,180,876,107,436,250,940,170,986,082,841,067,797,288,915,
361,768,046,036,361,845,600,696,875,795,613,922,138,716,570,774,679,165,934,
377,697,410,310,593,497,836,900,029,742,856,872,402,546,081,470,979,765,971,
868,451,218,648,135,454,160,267,222,059,430,058,539,884,178,458,124,905,333,
396,901,223,255,653,864,318,082,013,126,144,968,104,149,919,963,187,275,509,
344,499,388,089,285,239,734,633,004,616,111,197,165,704,500,981,445,816,048,
994,202,045,967,025,646,464,513,952,109,307,191,033,542,007,381,752,988,217,
819,459,071,167,800,260,864,832,636,914,858,499,176,762,717,718,828,463,832,
319,200,263,975,819,495,123,827,209,624,570,404,355,212,710,373,969,791,747,
170,030,075,823,160,444,785,822,748,684,430,015,179,885,999,654,364,812,089,
073,854,609,700,605,211,041,295,993,135,858,293,532,127,995,900,490,970,282,
373,036,929,838,838,880,756,364,782,532,994,713,861,749,577,580,278,078,615,
213,636,345,672,470,462,567,137,107,443,528,487,601,766,739,434,007,870,454,
010,275,054,965,002,032,629,423,889,129,169,651,511,196,388,146,726,933,859,
042,629,183,798,445,597,658,069,911,549,118,920,170,943,585,179,239,411,248,
096,301,368,309,451,976,126,109,824,640,611,155,855,440,337,970,423,913,132,
656,804,432,200,179,265,326,094,878,555,001,384,237,699,613,596,277,119,131,
695,133,973,571,189,980,701,512,770,685,540,206,891,436,914,485,606,503,443,
123,635,486,239,821,122,221,810,542,480,578,847,813,778,744,301,273,579,833,
181,952,203,052,482,387,809,658,586,619,453,166,852,122,653,747,186,105,452,
453,395,572,134,526,911,589,018,887,634,819,026,556,572,288,992,779,244,168,
593,224,689,898,235,907,318,583,797,623,823,569,115,753,175,770,595,783,823,
875,364,570,118,106,098,052,811,438,594,018,519,583,528,845,109,725,087,552,
660,695,252,420,577,306,218,108,218,069,431,480,108,885,897,668,653,552,050,
757,599,265,300,185,830,854,897,664,288,328,968,839,010,403,939,587,102,968,
831,487,504,197,616,224,080,972,436,306,577,146,542,317,698,729,767,704,330,
344,801,828,878,595,684,368,151,475,156,117,601,400,489,959,459,809,769,401,
723,601,319,390,019,867,356,318,908,329,994,580,890,626,229,167,008,244,411,
324,608,110,655,246,323,779,248,768,401,608,673,111,423,105,693,348,364,200,
476,809,110,611,495,686,081,096,083,274,334,064,260,662,148,770,609,758,700,
367,146,911,393,526,778,373,337,596,286,589,661,182,699,613,539,129,432,633,
446,665,103,895,641,373,757,634,164,129,540,219,399,372,084,520,125,630,428,
209,203,951,639,079,916,931,387,115,605,170,951,609,701,680,221,059,693,510,
745,974,793,712,775,706,100,013,710,927,096,425,646,599,520,557,673,758,956,
736,869,461,554,643,226,902,933,495,870,073,442,272,319,071,736,176,088,977,
041,842,069,042,355,591,304,807,960,818,358,422,090,728,160,877,203,138,502,
375,974,400,955,430,123,212,207,899,956,113,132,774,466,598,792,639,791,178,
561,305,632,215,601,182,651,441,301,171,881,422,802,190,159,879,355,742,612,
687,661,708,946,561,537,601,480,355,892,689,123,370,925,734,720,078,222,238,
005,569,489,738,572,587,643,849,482,485,187,628,126,864,185,163,859,682,691,
881,206,390,880,027,182,914,370,014,575,736,141,504,687,072,577,515,341,119,
074,159,170,334,155,201,528,363,996,843,813,815,715,280,899,303,081,178,426,
911,198,785,257,498,151,027,114,049,006,671,826,087,086,728,693,326,294,323,
035,307,611,928,035,859,826,106,728,791,320,443,301,326,997,975,017,934,891,
927,268,034,389,576,542,064,292,564,048,367,678,958,652,708,801,496,786,152,
888,439,966,313,776,330,664,698,113,051,562,807,037,152,665,060,477,389,109,
668,783,393,526,862,836,755,844,951,251,936,345,222,784,913,464,935,425,183,
908,081,485,202,553,051,745,856,841,761,015,543,251,389,777,348,110,273,860,
225,165,604,501,564,985,881,154,504,859,408,958,817,799,196,108,621,438,959,
569,798,276,987,230,615,655,249,618,208,215,007,716,034,893,199,581,241,259,
948,148,690,310,326,247,809,651,831,165,090,556,212,422,539,479,841,519,900,
853,533,636,482,963,801,462,458,152,491,936,822,982,753,954,515,760,960,359,
450,846,626,133,025,760,070,657,142,520,483,899,929,865,322,827,851,576,715,
375,457,960,402,086,399,649,419,002,821,218,996,963,592,155,389,272,319,248,
552,730,996,675,290,873,758,029,426,935,540,928,583,539,145,844,206,038,170,
122,443,690,644,418,725,220,538,716,409,281,688,376,522,029,520,044,830,276,
538,862,848,113,542,415,583,781,745,100,105,672,860,995,933,427,858,273,569,
688,671,771,897,370,594,415,740,085,230,141,513,709,267,278,752,519,285,309,
088,154,703,398,261,422,413,803,065,439,802,508,365,179,700,054,684,839,667,
148,461,493,764,890,617,717,306,252,581,352,088,394,447,621,866,877,737,288,
773,075,383,325,592,094,692,246,079,703,878,891,903,437,044,515,051,762,302,
984,533,624,881,776,649,774,049,721,000,318,243,902,427,469,804,122,405,558,
983,489,592,500,437,564,374,271,164,572,787,408,840,868,280,080,281,614,012,
375,280,680,891,585,538,056,230,454,265,171,787,753,126,758,717,791,633,825,
116,878,176,553,554,319,466,087,634,599,655,164,094,824,953,498,237,320,883,
674,019,167,825,852,150,315,024,392,224,023,408,399,702,314,419,269,557,430,
613,667,815,228,275,975,198,392,694,251,914,890,480,273,853,105,504,582,858,
556,520,072,716,393,384,083,957,692,009,365,459,114,381,483,064,455,683,111,
794,904,866,754,871,525,026,458,308,626,285,503,839,789,753,107,891,714,476,
087,932,505,504,193,630,821,637,377,641,552,218,438,493,117,255,314,659,944,
701,092,576,367,460,122,798,857,123,002,156,312,433,289,934,343,478,171,222,
324,078,855,881,641,010,528,425,850,515,992,711,848,194,748,409,789,295,747,
965,207,079,109,855,634,274,959,300,259,998,038,750,443,972,107,091,652,281,
835,220,751,079,921,478,575,291,939,105,588,874,680,458,937,878,448,318,414,
462,741,995,895,455,135,203,283,589,413,994,987,290,748,487,083,464,682,935,
754,395,826,823,669,657,290,581,527,852,413,027,006,360,174,921,142,414,219,
416,410,033,237,210,204,070,702,602,397,825,750,949,058,860,713,620,662,230,
671,933,173,051,735,584,808,622,581,846,974,068,510,608,946,457,748,391,092,
750,676,112,302,452,549,058,651,197,046,351,409,137,268,166,143,617,288,368,
988,058,705,481,382,618,600,299,690,739,508,270,316,215,285,637,243,014,102,
044,093,779,392,871,327,535,814,153,296,463,708,999,054,299,717,176,703,473,
548,800,094,023,638,080,404,903,158,574,253,402,165,601,671,731,009,931,998,
324,762,262,760,729,694,597,350,121,287,335,688,204,871,708,954,255,900,575,
632,204,381,764,954,125,697,892,620,775,474,967,763,278,765,647,589,577,598,
623,681,215,820,470,972,029,995,560,582,207,268,912,466,434,256,264,831,944,
845,980,218,337,522,106,814,015,260,851,256,098,150,733,032,341,135,014,015,
499,120,777,766,900,165,696,710,088,967,225,184,521,704,686,326,089,441,680,
937,690,043,994,132,726,655,788,264,186,763,174,261,582,651,740,521,702,865,
676,574,150,004,481,125,794,156,549,449,155,182,274,109,008,431,398,334,199,
037,656,020,884,838,170,983,699,982,825,742,387,446,624,153,839,350,720,174,
070,887,860,837,026,186,352,975,110,093,201,936,293,198,167,803,498,953,351,
778,852,337,345,300,211,866,272,067,021,023,066,008,518,306,651,434,523,733,
625,921,728,010,207,756,068,105,677,072,674,888,684,798,911,666,706,094,712,
144,492,764,915,405,470,295,776,118,171,158,515,463,067,397,128,824,317,021,
083,912,280,771,897,214,021,613,885,395,725,197,607,918,723,490,622,254,158,
989,880,952,766,083,810,650,326,464,804,948,653,884,874,112,195,819,036,009,
512,420,335,165,639,955,377,374,280,146,350,000,979,488,629,454,236,383,289,
927,092,379,236,950,842,362,085,844,490,047,589,125,414,853,260,114,895,783,
225,044,379,677,927,354,560,215,010,373,594,482,878,395,286,443,745,024,899,
654,533,803,277,870,307,743,435,301,962,796,246,755,252,796,392,316,235,737,
807,030,477,216,119,275,003,208,185,613,220,610,950,936,715,502,852,425,890,
531,974,216,371,190,086,186,331,997,383,505,845,762,282,796,558,871,001,733,
488,583,404,559,011,045,455,370,880,460,222,237,511,449,206,993,868,936,143,
632,120,051,035,234,727,624,317,170,799,831,725,546,596,098,121,918,562,745,
119,760,832,292,785,698,295,930,017,429,959,736,021,787,743,650,012,938,295,
785,917,876,716,632,630,057,982,089,722,775,551,333,620,178,850,905,517,149,
605,565,647,865,144,212,659,262,249,266,469,771,757,143,700,326,609,692,961,
541,341,806,011,807,071,962,959,440,779,833,693,506,446,495,984,510,914,308,
298,165,226,640,398,176,510,281,324,576,391,334,797,921,525,212,485,548,247,
985,309,191,608,096,064,509,568,586,487,227,953,537,287,598,312,155,525,664,
680,700,821,824,461,479,073,858,387,249,990,527,282,456,764,577,681,817,948,
074,598,466,874,608,383,699,945,403,829,940,909,718,767,111,082,775,015,014,
605,384,701,702,977,839,687,217,734,748,318,205,103,612,204,038,941,196,367,
806,512,697,981,592,897,791,377,441,222,322,668,627,555,609,982,518,014,788,
604,327,463,735,072,016,135,610,135,570,515,502,120,899,974,924,709,130,309,
300,031,065,652,090,834,690,587,887,972,305,363,300,319,788,257,947,878,331,
043,639,892,886,659,608,038,872,138,839,389,682,714,336,691,235,697,117,800,
652,658,740,900,669,633,935,425,642,073,386,719,394,048,429,473,106,575,856,
532,479,548,318,673,528,566,517,261,693,094,515,098,823,347,070,205,942,435,
188,846,280,346,874,539,799,706,786,136,656,594,651,177,200,491,105,186,685,
203,488,962,514,294,201,647,029,056,322,004,753,820,240,733,368,973,040,645,
705,575,218,697,079,000,994,141,088,761,191,164,594,933,547,499,052,279,037,
729,688,321,253,650,561,068,420,540,213,615,210,541,882,935,030,645,207,529,
376,319,797,626,597,297,711,546,902,635,453,349,897,723,966,315,092,948,669,
698,121,864,382,690,719,920,755,431,945,334,921,652,857,292,839,845,878,230,
611,150,522,669,410,948,245,363,280,287,724,461,380,757,080,112,096,247,870,
717,052,091,750,098,533,471,144,866,245,737,430,959,912,508,433,980,603,339,
616,355,784,266,831,791,373,766,035,128,212,486,429,136,583,369,514,998,750,
558,301,136,492,613,317,456,999,427,408,523,869,187,763,122,396,569,499,259,
331,781,128,345,363,761,416,087,906,809,395,326,933,471,520,834,159,375,227,
298,512,904,690,461,882,520,324,311,460,867,728,994,105,052,557,287,890,176,
176,687,005,245,836,097,677,667,296,475,024,128,303,713,448,032,133,267,183,
554,999,589,936,113,534,009,874,670,331,323,559,346,560,384,329,059,972,406,
612,747,373,376,922,168,376,813,278,562,809,752,621,245,265,287,899,201,964,
839,858,878,236,855,946,348,434,409,087,652,236,347,069,908,416,115,419,740,
804,112,772,175,435,585,870,846,452,334,194,256,424,539,539,035,690,585,961,
056,023,023,516,771,255,372,931,329,387,811,756,932,244,251,851,883,877,854,
185,469,516,488,318,490,967,974,773,072,858,458,953,382,939,722,805,467,860,
974,362,960,324,056,761,790,134,615,846,953,121,669,798,427,540,881,525,278,
329,362,713,816,798,935,205,360,737,684,625,190,277,057,410,305,734,703,011,
723,666,563,583,174,218,290,655,682,062,948,908,633,740,142,866,275,818,842,
231,450,978,176,697,081,593,147,930,562,100,612,704,392,180,227,591,933,735,
246,175,090,408,853,668,368,491,530,772,704,899,593,954,126,882,820,478,679,
446,871,374,474,294,993,496,325,819,331,750,810,438,109,531,027,361,536,858,
641,550,319,058,005,748,758,465,087,818,916,665,869,951,425,114,665,892,822,
237,252,969,427,073,095,576,580,994,133,850,715,175,188,145,788,763,009,370,
619,747,506,442,944,141,005,736,867,437,562,064,620,384,948,998,585,936,309,
435,497,867,779,280,308,503,531,484,317,547,504,589,965,561,341,750,655,633,
378,585,823,665,252,504,835,891,585,133,191,671,309,642,585,782,833,138,909,
536,084,325,446,094,598,049,148,223,217,965,404,979,193,240,498,044,237,365,
369,433,031,555,659,794,962,794,415,436,861,345,517,321,758,978,779,630,595,
107,782,885,646,490,000,250,091,089,640,226,202,686,193,465,187,248,811,033,
835,401,347,138,832,165,636,956,104,813,756,266,951,678,629,955,071,429,948,
915,945,511,588,819,153,702,026,776,864,809,653,751,688,252,595,898,264,481,
819,710,292,481,510,435,304,449,781,280,697,456,255,550,951,936,323,183,595,
643,373,794,238,793,774,538,034,370,972,283,573,127,164,162,753,608,489,702,
260,483,505,508,190,735,983,558,089,781,106,838,783,045,282,420,012,429,446,
508,221,460,132,704,281,912,989,416,433,123,509,840,454,029,977,745,827,015,
460,132,162,764,378,591,107,091,362,732,782,447,868,808,620,981,337,346,574,
360,447,136,103,162,937,017,315,207,683,419,642,265,086,366,943,536,476,414,
878,505,008,675,839,515,470,598,819,732,081,795,656,208,544,519,217,944,417,
525,890,666,034,718,020,401,018,299,499,317,399,871,277,542,158,575,377,849,
649,917,814,556,898,145,552,185,988,614,344,319,372,064,047,843,568,387,050,
534,031,455,306,758,074,757,879,934,688,852,502,450,460,187,671,568,938,742,
946,207,856,576,626,713,580,022,633,362,445,606,745,734,994,099,260,687,816,
522,262,646,997,064,164,883,790,173,652,034,153,939,824,227,746,526,888,511,
964,775,721,659,662,275,839,640,474,635,188,327,340,901,514,710,789,649,526,
247,236,094,462,113,788,580,568,502,300,245,321,960,279,785,451,924,137,426,
124,334,026,431,792,437,479,857,597,298,099,736,931,285,796,206,032,305,238,
258,181,030,078,661,387,383,118,741,018,543,003,782,225,210,293,806,653,776,
108,787,460,979,825,988,995,185,378,671,898,724,639,534,769,412,326,054,502,
371,534,952,230,460,568,087,427,619,290,841,883,424,899,058,834,254,498,795,
462,217,483,278,819,521,968,077,722,188,069,858,093,348,641,903,151,370,385,
546,236,995,463,913,970,315,993,967,414,662,583,969,040,505,709,786,024,063,
714,205,838,508,437,006,189,764,240,740,562,098,812,138,022,468,860,197,307,
683,088,942,332,266,188,993,792,556,574,919,829,049,312,986,627,343,437,506,
842,257,756,333,936,639,106,801,476,157,787,945,388,430,443,562,359,181,264,
566,913,639,899,717,555,726,839,505,959,172,050,100,433,787,047,303,447,867,
566,641,773,850,450,521,253,991,153,837,559,132,075,853,735,208,693,579,989,
707,135,230,436,858,471,793,443,554,688,829,263,003,402,264,823,326,011,708,
514,084,067,963,773,601,941,046,701,815,961,863,237,597,256,346,584,217,589,
771,192,045,369,869,497,613,830,274,670,601,412,037,014,321,473,575,946,696,
126,729,363,036,805,509,207,579,223,181,677,882,125,115,523,646,816,560,562,
734,390,150,736,384,613,249,113,345,712,710,256,669,252,472,140,236,735,223,
858,434,590,366,389,094,513,349,841,640,186,801,276,411,618,486,916,460,395,
444,777,319,368,101,034,355,547,060,075,689,222,365,465,301,447,553,887,139,
021,039,656,894,722,122,291,214,237,224,163,783,869,234,407,642,911,233,543,
622,103,730,225,522,253,676,620,736,695,156,643,301,958,587,708,686,950,090,
564,037,310,548,165,984,418,959,972,552,359,052,455,789,486,701,654,189,078,
409,651,263,888,655,055,347,806,579,143,181,032,200,650,188,081,824,891,502,
233,138,927,900,019,308,683,119,877,781,614,120,918,490,521,385,974,724,894,
612,536,973,851,408,167,866,538,338,219,538,225,179,745,157,668,016,598,808,
584,793,303,392,329,108,807,967,351,431,045,057,243,406,368,691,934,466,654,
113,779,944,516,062,500,173,077,126,734,972,483,522,458,122,045,967,284,157,
758,473,355,222,249,885,998,135,811,375,740,906,237,691,662,227,093,580,807,
631,508,654,373,242,753,566,135,039,638,732,819,008,490,725,752,979,999,474,
206,037,958,510,952,542,364,974,259,520,795,115,745,661,201,407,075,195,585,
940,511,224,111,017,851,175,387,783,572,575,186,988,380,621,444,040,242,960,
383,583,200,655,226,291,057,120,487,790,127,111,923,850,081,569,772,174,443,
560,282,680,897,354,795,589,353,399,778,986,076,721,684,342,899,243,945,086,
247,785,351,087,949,107,454,489,535,707,930,891,333,525,250,869,688,305,850,
644,942,819,611,291,186,294,941,512,161,889,124,182,519,041,849,393,584,354,
878,819,843,813,598,229,640,105,875,575,640,763,630,921,664,637,671,740,053,
402,602,397,853,217,559,969,377,995,900,660,767,024,083,283,138,719,636,158,
785,512,592,885,715,861,007,325,635,409,846,706,691,773,382,595,206,977,495,
473,659,852,179,769,461,038,860,610,498,623,790,109,214,105,446,487,147,716,
401,884,304,326,588,438,451,963,039,721,720,376,560,502,153,656,083,196,544,
630,517,935,928,785,250,510,816,161,460,361,924,612,741,945,734,716,639,576,
247,925,965,539,233,507,781,306,941,043,522,077,978,723,257,087,235,319,310,
099,758,319,838,278,278,333,043,196,416,399,935,917,144,575,530,225,343,237,
373,492,750,525,550,999,343,537,568,906,624,869,187,815,572,762,413,009,218,
018,112,768,078,175,756,864,867,079,138,378,811,076,318,586,918,149,757,270,
381,632,735,279,873,706,563,460,749,500,642,081,116,322,508,356,438,583,293,
849,232,227,566,936,121,053,576,078,835,757,897,972,619,717,990,227,213,449,
914,618,616,376,769,828,710,382,441,684,380,818,249,424,037,070,974,473,046,
604,878,643,579,742,877,555,113,414,500,569,691,174,463,318,095,242,931,180,
398,038,785,533,684,502,425,492,234,047,518,713,050,303,180,683,512,774,758,
154,310,354,455,568,181,378,991,453,113,308,113,992,014,849,581,522,518,039,
984,827,224,863,853,579,913,913,875,498,541,201,628,896,828,864,201,120,652,
270,872,893,975,764,026,382,949,328,542,953,273,885,007,082,968,766,543,379,
771,742,398,588,603,771,894,098,641,902,976,261,964,479,970,944,291,168,693,
345,875,763,469,461,310,442,219,249,851,744,783,924,386,166,048,210,720,860,
344,125,108,380,462,075,770,683,992,294,802,747,908,135,299,496,098,716,803,
697,769,140,940,615,836,583,695,432,216,041,487,509,458,541,932,721,877,361,
576,918,210,486,658,795,848,753,295,079,485,893,166,667,942,520,244,774,580,
183,827,861,992,933,881,845,154,323,954,094,789,171,152,641,285,686,449,967,
680,747,153,947,702,464,767,502,429,524,368,555,782,807,854,093,617,665,920,
242,269,228,833,770,158,793,399,117,607,788,797,821,351,778,063,762,167,201,
578,388,387,786,767,369,108,863,681,889,829,685,815,022,443,031,008,234,215,
215,914,840,766,510,502,063,690,169,893,863,002,132,905,580,207,676,987,672,
442,379,686,725,980,300,828,775,499,409,122,917,378,268,933,323,464,952,153,
410,357,163,814,949,074,198,591,483,140,409,411,958,945,682,838,750,048,657,
568,882,480,732,003,390,583,346,914,438,483,529,405,801,599,473,570,817,411,
836,073,239,768,533,032,170,589,299,985,513,924,936,361,128,675,882,315,524,
255,347,179,237,130,530,198,071,062,580,826,176,123,999,469,248,233,682,272,
639,751,070,098,355,828,835,837,707,982,271,036,279,211,910,414,535,801,263,
605,276,980,553,681,457,066,724,267,697,261,791,266,326,827,607,446,704,703,
882,950,340,401,589,375,787,372,963,436,338,038,285,709,676,237,380,600,431,
004,388,890,458,967,142,548,110,951,831,335,548,116,456,007,006,554,763,717,
606,633,957,093,441,609,132,997,660,776,527,344,169,631,649,582,434,456,472,
932,010,644,394,231,145,529,848,724,152,022,340,351,286,567,767,393,990,424,
095,089,036,966,056,150,495,470,480,141,847,150,371,511,733,613,245,913,647,
829,910,688,331,156,526,863,768,721,598,729,028,779,835,815,439,950,978,442,
306,913,373,087,039,112,427,983,986,977,116,366,133,035,588,785,303,573,834,
553,617,566,651,024,030,353,557,727,145,773,968,410,472,177,214,122,174,553,
854,687,069,095,985,339,545,708,835,717,474,418,698,440,726,085,485,334,293,
124,623,096,413,615,098,655,998,490,827,819,480,497,836,913,830,262,306,681,
934,666,562,859,957,930,356,288,254,846,344,945,694,120,383,835,752,879,772,
436,718,623,749,840,293,527,612,423,379,649,366,366,993,023,712,423,342,311,
712,684,331,236,501,088,799,770,405,010,319,818,435,417,475,385,440,194,831,
166,186,997,752,759,815,488,751,353,210,286,014,714,684,010,090,733,630,513,
474,515,513,503,600,238,229,780,572,914,158,601,411,215,748,870,262,032,909,
961,513,513,864,761,842,810,989,146,952,375,826,764,395,501,317,148,868,341,
383,739,289,781,488,453,484,070,980,171,678,494,687,336,979,747,670,447,243,
097,461,180,726,084,085,427,491,578,181,292,567,195,063,001,665,579,548,321,
911,538,823,448,371,248,535,785,865,445,575,033,520,409,819,366,129,831,517,
592,557,172,304,324,443,185,019,698,308,869,859,837,405,971,697,777,423,547,
079,104,845,556,022,139,411,654,741,016,944,694,043,362,379,268,047,842,880,
517,711,288,623,404,495,836,262,709,390,095,085,091,299,037,918,721,586,324,
149,656,513,382,363,881,241,181,886,775,428,352,967,029,726,188,082,687,048,
257,377,080,517,556,130,583,662,507,705,597,477,518,513,541,190,124,819,311,
524,915,968,899,333,439,183,068,027,741,064,380,981,959,889,669,520,102,778,
310,361,876,899,620,860,743,567,402,265,622,856,866,535,097,860,229,608,320,
155,714,335,342,837,161,775,227,521,312,050,483,686,021,043,455,458,003,130,
311,632,219,086,939,066,378,952,241,493,940,632,760,228,143,098,882,502,664,
762,186,030,653,747,309,376,742,437,221,772,577,304,184,571,348,338,725,967,
770,051,934,365,540,171,666,126,791,875,304,683,391,482,214,534,094,287,820,
462,050,786,047,676,853,322,225,021,954,380,837,328,865,653,658,295,427,094,
622,351,564,316,450,698,780,403,623,264,342,375,456,746,348,112,533,172,363,
371,090,155,042,111,386,092,151,223,921,088,755,830,198,132,490,068,897,231,
057,654,064,886,341,356,598,978,553,840,880,434,614,383,043,064,845,190,858,
350,403,296,059,941,745,285,488,696,202,686,673,475,897,932,091,427,209,399,
827,471,438,090,228,393,433,033,700,290,537,819,974,953,318,469,439,229,274,
696,107,248,203,091,100,562,848,930,313,670,830,670,595,193,393,701,939,886,
076,035,008,134,617,038,902,007,256,462,358,089,525,431,615,577,541,668,146,
211,601,987,710,655,207,384,841,993,231,639,843,647,578,597,671,639,918,845,
162,518,433,087,109,786,346,316,321,696,292,251,801,973,651,987,329,468,314,
080,742,029,129,016,808,147,052,837,998,723,744,980,951,620,495,478,466,822,
919,513,782,811,588,918,219,222,337,046,639,149,921,953,628,763,593,158,674,
101,693,597,859,342,546,227,478,367,635,553,257,335,045,190,644,852,878,792,
949,440,438,711,122,186,841,954,419,959,076,001,680,852,696,383,491,898,092,
640,541,077,599,161,705,362,014,288,519,835,569,965,043,133,789,648,814,174,
929,770,320,780,386,255,086,497,010,543,791,087,407,377,457,832,477,100,618,
744,625,936,147,238,209,712,068,239,678,581,924,989,357,359,963,266,845,906,
066,080,619,451,781,227,287,716,766,822,416,911,037,679,848,386,403,505,154,
289,567,288,741,237,300,959,383,732,277,319,021,235,971,271,054,283,965,422,
316,547,075,152,671,199,196,798,305,074,194,500,725,001,864,112,045,544,863,
510,661,440,816,432,800,698,295,061,017,305,643,909,239,280,661,943,646,938,
852,371,443,977,828,189,914,793,937,067,776,835,035,742,419,718,372,946,955,
273,643,802,306,128,941,041,094,232,932,621,979,339,657,298,535,369,655,022,
977,311,000,666,385,290,044,098,003,006,445,798,021,636,561,229,234,416,957,
535,189,159,863,485,646,578,191,772,620,608,128,990,277,802,987,010,605,580,
160,588,099,059,575,832,831,924,327,190,773,811,942,871,283,865,543,303,142,
557,274,041,686,622,805,545,805,603,133,649,556,315,262,615,141,386,489,373,
210,302,695,729,340,889,589,981,518,476,380,538,978,697,856,240,689,809,396,
658,179,936,355,856,633,380,355,095,236,167,478,777,544,631,614,012,817,584,
573,865,371,316,760,751,785,212,047,228,448,892,487,858,919,231,884,142,795,
553,836,720,986,432,923,243,725,607,739,879,728,087,403,004,399,821,994,340,
086,625,376,284,393,628,632,040,005,455,558,346,610,413,316,279,488,663,174,
257,679,627,114,336,270,591,935,029,109,569,971,044,877,431,116,269,192,275,
445,716,764,211,492,049,298,691,060,808,863,628,175,034,718,650,123,545,108,
335,029,429,623,719,451,514,597,108,709,846,638,813,067,188,079,005,927,795,
109,471,235,897,156,202,201,744,074,972,245,847,173,041,957,596,423,420,777,
508,405,440,355,117,542,243,911,590,873,956,866,999,824,972,703,394,761,650,
259,314,083,881,269,238,543,732,906,011,996,940,881,941,458,397,042,165,497,
380,177,525,428,568,094,088,946,822,066,226,406,838,375,824,077,696,866,283,
045,295,229,914,034,217,561,054,917,479,214,859,366,727,554,603,525,668,123,
883,124,759,285,870,598,058,807,623,864,608,932,726,581,415,473,290,599,597,
752,125,555,172,995,831,113,082,022,030,439,808,743,054,459,105,297,430,118,
707,700,993,642,360,423,318,309,447,058,228,084,697,071,318,161,673,803,487,
576,546,933,538,296,484,931,492,856,509,731,051,250,120,647,294,937,241,130,
404,721,761,337,111,367,126,545,908,067,515,273,847,554,857,890,785,386,308,
191,284,074,716,484,725,687,899,635,145,471,969,676,408,142,851,702,172,481,
768,662,828,074,942,571,592,163,625,951,298,842,607,924,227,018,850,314,870,
394,304,051,773,545,053,762,014,534,761,091,490,686,417,528,022,319,848,749,
389,050,643,951,639,127,225,078,985,753,300,287,546,059,240,116,821,691,967,
371,479,347,100,519,990,319,285,764,897,394,022,730,288,854,602,489,438,034,
591,492,893,680,651,392,300,854,874,224,005,808,404,605,898,578,568,256,659,
321,918,153,379,487,096,111,213,446,614,726,961,600,215,953,168,112,803,293,
087,462,622,672,105,403,532,752,054,631,788,304,504,977,914,705,389,420,647,
216,737,949,281,550,761,958,944,738,214,189,275,386,918,687,243,858,846,630,
944,496,591,212,312,843,099,844,456,340,294,669,955,675,261,585,282,319,347,
795,437,523,886,771,901,567,904,456,466,405,435,607,013,178,046,896,130,794,
317,141,837,444,431,713,407,581,321,532,647,188,430,691,932,090,688,232,702,
738,459,599,921,672,936,888,750,058,252,413,560,648,458,882,798,650,198,967,
990,831,153,352,128,115,291,654,750,975,084,176,809,612,336,385,939,767,382,
503,563,617,363,063,620,083,624,899,912,674,659,182,002,896,714,232,762,186,
373,143,336,625,441,349,270,258,907,744,878,776,406,051,943,603,267,428,356,
159,088,624,962,019,343,832,888,430,523,411,607,632,257,728,649,933,901,470,
637,804,707,719,659,488,062,233,558,668,211,772,689,246,443,461,796,867,303,
476,389,389,457,469,351,706,960,383,504,903,379,652,499,472,133,072,448,111,
284,011,415,129,185,928,217,883,699,935,837,515,273,671,643,968,864,090,189,
082,138,696,564,656,010,893,105,402,423,195,108,377,521,125,935,434,235,961,
634,708,867,568,986,023,533,305,089,643,947,409,899,134,017,206,094,161,000,
262,808,422,859,516,732,599,725,670,964,963,710,147,694,618,711,747,769,484,
792,108,013,426,417,365,185,235,572,380,034,501,402,200,784,938,718,368,828,
462,471,568,890,364,091,340,569,002,677,215,242,726,858,015,834,023,734,430,
756,307,758,597,967,345,010,295,182,994,761,618,267,495,624,270,744,336,230,
988,872,936,047,701,875,934,488,928,731,579,906,323,464,976,080,680,744,763,
558,692,514,778,147,547,950,731,500,672,036,876,851,332,631,599,631,088,166,
254,513,410,459,569,792,938,287,656,715,421,792,567,021,790,534,122,259,878,
444,354,718,415,768,740,945,113,115,853,419,936,433,202,715,520,691,432,736,
885,986,561,299,040,841,151,782,286,206,713,852,184,583,053,053,700,115,936,
864,990,075,388,075,238,039,416,008,470,771,771,105,762,369,424,681,390,384,
279,939,334,955,760,400,499,460,374,705,514,010,268,127,521,851,539,297,737,
526,912,632,507,215,551,295,703,186,954,687,447,561,330,635,775,318,620,748,
597,665,166,943,691,913,757,669,398,191,895,040,017,045,467,482,424,065,518,
865,703,061,487,792,566,102,058,191,575,514,120,906,252,594,812,559,804,229,
072,246,135,990,763,381,829,469,808,109,419,159,524,400,417,505,891,294,065,
915,613,726,798,578,539,957,570,545,533,668,959,979,118,020,134,122,236,678,
126,363,443,606,268,692,071,263,926,335,690,911,009,251,745,045,986,935,666,
777,171,841,535,708,052,122,950,293,783,897,074,959,126,290,108,322,954,934,
285,848,214,718,366,619,516,816,692,077,544,808,711,298,861,972,695,200,788,
075,431,955,115,075,085,418,334,151,719,748,436,146,654,711,243,958,201,201,
097,264,893,561,476,180,983,933,073,215,437,492,058,158,884,144,235,993,939,
973,200,741,961,819,093,859,701,846,775,777,776,383,803,519,619,051,423,235,
392,158,721,717,529,610,761,708,985,907,647,067,221,371,624,623,479,493,947,
349,129,784,364,300,854,343,897,510,256,311,005,994,266,907,685,900,799,143,
637,176,259,075,797,317,923,568,956,269,794,856,356,343,960,578,133,259,666,
489,958,827,393,491,124,052,476,448,633,188,120,339,594,222,695,971,440,400,
215,690,244,923,334,555,968,105,300,069,628,160,995,869,162,780,051,853,361,
836,200,841,456,527,697,030,785,637,115,016,614,946,142,349,059,743,123,141,
235,136,679,185,728,503,412,161,623,833,533,785,435,402,413,984,095,832,711,
867,373,182,355,886,853,348,995,708,213,395,612,769,154,009,718,496,625,384,
627,150,394,520,354,953,682,572,251,677,527,027,172,570,299,462,150,321,382,
344,255,295,687,937,515,773,428,058,770,914,858,058,721,408,802,303,032,631,
451,541,727,562,807,855,125,020,727,300,173,931,746,661,047,840,047,171,311,
273,014,477,330,509,952,537,561,344,978,703,885,117,900,081,040,062,353,716,
095,099,926,764,890,302,033,754,225,342,276,801,693,218,384,376,380,938,209,
812,138,078,142,271,997,958,651,066,854,764,276,857,630,260,791,812,383,027,
263,219,230,108,983,508,073,972,934,995,432,328,891,059,016,149,777,653,242,
002,711,731,464,506,171,710,253,284,132,807,940,262,619,916,377,904,938,938,
075,079,394,507,439,557,855,776,358,916,862,513,231,631,242,206,764,683,854,
342,454,852,752,144,475,942,605,888,273,055,940,784,317,516,915,311,387,616,
448,966,406,164,664,548,139,320,277,496,364,247,009,314,245,811,395,887,377,
884,131,657,530,564,350,710,682,056,536,493,699,669,107,010,533,571,023,338,
471,814,751,222,802,459,389,131,658,663,557,485,566,563,937,865,178,303,399,
994,647,846,618,775,200,362,789,691,046,212,118,236,514,922,548,194,939,255,
725,986,175,030,732,291,985,817,498,931,086,892,456,089,807,052,012,977,490,
938,937,347,532,577,149,908,362,237,879,347,442,421,439,673,399,927,702,135,
379,400,254,155,594,539,871,889,088,465,609,418,811,381,505,267,561,503,071,
863,846,420,128,869,911,762,926,815,874,383,235,162,312,295,771,849,669,619,
329,811,170,205,497,857,146,136,943,313,526,632,891,584,963,723,226,729,656,
711,145,212,189,857,118,465,942,807,101,275,636,552,079,648,243,068,595,281,
936,365,666,210,184,937,535,175,932,457,431,984,715,397,158,496,956,196,718,
300,856,381,238,808,768,720,484,053,671,814,845,680,974,135,017,766,992,300,
270,001,522,736,934,321,493,016,751,073,732,482,320,471,950,345,417,607,054,
589,636,111,394,377,953,353,656,720,834,435,162,416,676,626,633,299,954,380,
035,540,253,992,162,897,577,361,745,803,646,934,176,141,338,646,892,986,833,
272,668,069,587,871,165,579,150,120,765,169,219,441,682,728,075,413,075,524,
000,315,145,523,729,782,343,731,505,662,131,516,628,628,147,286,111,713,634,
001,566,835,039,877,597,767,916,961,379,235,984,732,839,196,750,862,813,511,
809,200,534,208,197,224,090,932,871,414,743,799,231,859,549,826,395,662,223,
713,007,073,424,757,413,019,617,443,953,324,996,022,653,509,726,514,746,793,
141,291,586,859,564,528,677,322,859,272,693,736,931,317,723,349,034,341,050,
869,585,473,859,376,817,502,611,289,090,564,300,545,650,126,500,944,171,034,
794,080,106,511,729,313,517,762,475,718,099,939,876,443,615,836,978,544,239,
009,448,932,439,798,054,931,642,365,642,529,402,845,433,099,882,750,866,100,
985,855,592,776,024,452,097,108,842,227,965,246,528,349,256,556,284,260,037,
456,081,092,168,902,703,124,008,889,902,398,759,106,317,194,478,568,573,654,
326,811,691,700,449,320,664,433,549,462,932,915,423,674,322,573,669,962,885,
374,548,868,986,651,540,371,420,389,915,132,432,938,546,555,236,304,118,597,
596,351,437,693,436,575,418,787,040,514,137,902,208,164,234,665,507,122,797,
488,364,567,959,877,244,759,380,762,718,044,638,552,642,469,892,598,540,012,
499,759,654,988,707,072,775,995,821,910,152,028,701,456,607,448,555,883,056,
294,241,518,813,119,240,979,575,949,896,251,197,739,028,828,005,379,934,856,
739,641,108,535,224,016,177,638,981,460,167,582,173,000,920,299,585,358,668,
102,530,190,908,749,299,018,843,751,116,402,820,549,623,738,783,169,852,080,
391,593,978,012,919,577,451,940,355,437,042,054,202,946,730,880,359,246,238,
912,068,201,959,490,987,548,814,860,756,888,495,927,495,133,303,137,709,044,
987,701,056,357,148,493,731,706,176,103,788,152,951,205,805,600,015,752,565,
761,746,352,444,581,828,733,386,473,131,128,310,451,952,953,320,767,074,321,
285,097,016,015,512,727,876,596,576,148,545,270,752,714,249,417,040,296,816,
502,589,426,530,218,657,874,801,545,942,391,240,140,611,424,052,313,802,158,
823,952,836,881,488,482,266,068,012,196,534,893,609,781,118,384,529,884,968,
381,524,706,156,116,398,966,101,082,731,545,303,606,469,311,942,280,145,017,
070,511,379,604,170,217,843,052,273,728,880,156,178,075,904,406,916,387,744,
276,038,652,836,944,185,306,249,839,927,149,376,546,005,223,505,567,076,582,
668,421,294,222,922,494,864,200,651,429,750,135,637,224,087,224,443,940,478,
123,710,782,234,855,788,467,789,742,535,383,745,052,330,043,075,743,833,123,
135,156,664,155,711,889,387,922,980,629,257,707,054,004,219,327,628,434,660,
192,274,435,255,332,899,403,426,097,498,266,570,259,384,764,791,994,991,701,
306,733,762,356,086,002,444,652,107,227,964,267,365,962,238,557,263,564,325,
645,554,260,090,637,282,915,423,877,976,989,020,154,438,914,037,974,551,095,
947,873,344,823,453,731,811,037,587,752,226,075,128,757,467,268,878,929,496,
686,432,324,858,590,192,907,262,667,101,729,408,372,408,681,213,132,997,645,
595,580,973,128,798,702,306,378,316,768,347,221,089,830,855,915,468,331,520,
475,384,391,240,189,838,052,869,983,593,305,075,472,521,846,634,084,263,173,
467,692,761,605,749,650,236,197,009,136,708,723,614,048,912,496,535,948,293,
166,752,115,550,545,777,609,646,413,491,307,790,690,460,157,033,036,515,958,
410,412,039,286,430,091,388,989,168,938,417,926,667,963,484,826,870,997,022,
533,122,349,550,964,835,594,322,321,935,976,140,780,931,668,161,554,069,277,
257,885,854,049,411,319,826,596,798,807,575,634,151,287,587,565,370,442,206,
864,257,269,890,650,242,040,659,864,967,872,293,466,695,314,700,552,360,100,
953,287,906,854,385,849,588,945,540,455,620,359,602,139,929,526,483,700,401,
970,341,960,788,360,380,532,305,960,078,131,744,665,554,408,724,100,639,703,
211,900,802,723,942,406,273,249,865,491,065,384,197,660,488,013,178,859,586,
844,790,538,853,565,728,109,774,972,538,222,749,981,424,851,372,570,249,823,
977,089,428,654,349,535,723,409,495,495,689,511,626,737,455,544,477,246,532,
092,825,529,650,439,646,231,024,350,074,421,755,078,576,135,422,066,612,279,
875,394,965,454,918,732,193,369,937,015,238,774,538,323,873,496,468,481,045,
635,244,278,713,280,376,323,673,891,696,871,466,933,224,905,142,912,024,019,
758,906,660,879,709,850,133,883,297,958,909,891,059,970,897,754,445,836,278,
502,748,408,974,269,492,375,180,807,336,567,835,175,907,994,114,191,848,802,
954,573,005,075,910,107,149,676,302,113,561,790,487,683,069,866,442,911,287,
871,871,374,801,217,759,746,929,235,992,155,025,940,880,006,949,929,557,310,
861,587,970,982,603,780,586,032,999,166,334,266,401,793,425,758,154,337,900,
792,172,201,765,397,133,124,812,183,205,496,997,692,758,779,393,674,700,560,
984,018,472,297,682,702,716,648,488,880,392,680,247,112,483,001,102,835,478,
577,583,698,265,847,682,670,587,374,161,146,202,286,406,048,906,998,934,428,
793,013,010,447,872,352,073,117,846,576,642,101,463,057,641,863,707,587,662,
323,037,931,547,627,937,138,848,369,720,580,682,894,830,800,828,960,446,151,
438,356,679,705,472,363,178,037,259,033,226,751,103,993,491,521,887,984,274,
023,793,917,802,055,343,827,512,720,608,929,147,145,350,694,506,073,289,871,
382,511,613,038,527,854,981,974,386,282,525,099,424,638,201,649,962,076,088,
497,923,457,111,254,423,586,581,360,922,258,108,175,564,254,625,511,165,355,
879,758,319,414,889,927,291,539,374,729,027,510,621,466,914,385,033,414,277,
373,768,781,798,936,599,052,464,692,917,462,445,439,311,727,412,726,354,196,
234,557,944,301,490,522,209,971,649,524,841,258,211,886,196,279,404,974,951,
045,276,494,554,161,547,117,980,593,255,919,170,355,819,836,937,587,167,262,
357,445,813,675,735,748,594,957,634,198,231,040,872,064,933,373,318,544,422,
395,556,711,024,745,662,202,435,505,018,979,419,761,432,528,989,643,564,564,
289,014,759,574,374,411,493,350,286,503,066,441,899,668,325,794,580,673,990,
472,575,920,095,833,287,727,480,109,044,818,877,529,058,511,258,390,381,232,
863,427,311,604,370,994,275,298,615,999,866,172,562,793,895,155,782,561,362,
028,304,088,829,216,367,443,422,765,176,518,287,339,390,196,413,390,885,308,
995,518,759,155,995,060,737,010,832,179,485,068,551,147,487,153,397,948,325,
961,884,666,647,834,489,421,005,738,413,860,855,342,722,367,648,554,715,710,
676,816,606,807,816,534,394,051,287,430,620,215,061,949,340,236,858,024,701,
559,262,581,499,868,662,892,797,830,662,840,264,594,757,957,943,616,541,563,
036,353,266,985,084,207,328,446,617,243,465,096,818,770,291,383,693,252,211,
276,805,419,674,991,904,495,591,172,517,143,467,435,513,737,926,302,928,371,
130,334,463,550,201,883,634,257,497,430,847,660,691,189,848,899,154,907,005,
208,315,981,302,687,535,158,332,736,732,110,288,757,398,336,290,007,058,506,
009,684,713,900,770,671,712,288,615,337,492,320,601,546,349,961,345,577,800,
640,424,771,887,201,990,447,950,389,145,349,356,692,647,621,130,293,606,933,
087,187,693,274,802,732,876,408,219,351,340,395,736,048,617,754,289,453,677,
575,733,389,321,712,065,191,032,484,640,467,249,180,681,617,179,660,231,396,
368,044,178,323,067,627,484,799,922,862,631,924,896,883,963,182,920,265,840,
173,467,811,254,379,217,459,990,533,327,502,193,392,550,685,072,528,067,024,
783,670,510,827,596,062,393,742,737,162,365,293,331,409,449,895,412,469,113,
816,972,970,494,514,604,237,389,749,606,101,101,084,463,037,669,507,859,738,
944,718,912,240,163,791,411,684,881,136,709,904,259,879,688,919,305,644,987,
638,026,166,280,443,815,292,173,156,009,796,927,559,604,041,950,821,233,311,
627,037,113,622,688,470,240,688,932,260,478,633,492,766,904,933,445,382,521,
047,402,495,263,218,365,513,158,857,212,139,319,227,343,008,858,978,806,523,
196,410,769,873,839,874,100,610,882,545,622,971,767,654,112,403,797,347,440,
007,928,289,934,747,154,095,979,924,715,053,278,241,442,293,035,354,641,698,
068,272,437,639,283,534,589,424,388,891,005,711,306,743,656,256,791,233,263,
850,148,163,551,534,408,282,402,291,703,497,624,376,293,979,942,535,145,828,
135,489,085,207,317,512,951,513,844,932,099,349,132,077,150,085,843,045,969,
385,309,645,370,861,983,347,288,351,496,613,053,729,722,460,126,601,415,145,
896,090,292,698,276,794,060,594,949,820,160,858,893,768,475,276,698,170,438,
300,740,401,460,729,950,736,212,309,451,964,712,159,733,825,502,996,270,587,
583,407,044,071,057,328,615,769,933,338,724,585,036,195,961,495,909,353,330,
787,176,436,847,973,817,502,616,333,743,005,634,770,795,793,764,521,815,745,
991,886,936,420,926,485,344,786,849,208,751,600,863,974,265,159,548,085,388,
575,471,598,623,010,189,151,686,102,361,937,693,647,615,673,605,427,066,460,
016,075,795,993,816,003,434,400,720,861,074,409,914,314,888,713,537,701,784,
757,133,250,018,786,817,711,948,250,668,625,285,713,719,732,237,184,855,259,
979,666,576,115,033,463,810,618,397,649,593,288,757,611,169,977,153,246,497,
201,314,334,744,927,979,010,055,670,638,000,456,025,784,901,908,592,562,040,
678,615,122,985,655,957,430,769,393,608,488,667,502,153,853,960,980,543,361,
797,338,729,117,812,499,961,355,821,407,647,344,774,609,292,121,359,772,219,
948,356,260,648,308,277,764,066,707,685,559,881,733,372,041,204,308,443,346,
904,094,030,695,037,980,000,317,346,721,227,292,403,456,689,631,259,215,819,
767,134,153,944,141,143,858,551,118,920,437,537,070,578,158,067,477,178,608,
321,858,639,662,546,146,058,796,441,379,021,661,391,665,819,755,392,845,710,
423,378,751,037,246,870,455,742,613,217,942,968,820,524,010,816,462,485,326,
335,544,675,262,246,710,089,627,557,870,827,046,882,049,933,854,539,648,019,
655,674,569,252,597,927,059,552,088,796,328,571,561,338,094,268,126,044,370,
137,434,585,028,766,697,836,562,991,678,049,901,318,005,989,576,740,631,745,
916,125,230,501,018,395,359,833,396,895,402,593,772,897,570,242,124,632,937,
470,797,224,274,238,583,248,232,468,619,494,670,797,802,889,869,066,149,421,
893,977,402,263,435,089,822,759,106,542,874,691,426,620,814,127,552,498,936,
673,260,916,705,801,345,667,166,486,396,671,672,212,347,506,086,339,494,308,
055,670,375,444,640,077,655,988,938,126,081,560,156,722,732,669,390,757,455,
921,605,398,024,717,913,749,891,605,959,988,752,703,488,043,753,485,343,191,
338,538,687,020,359,717,075,679,861,861,099,682,251,480,634,105,598,650,873,
556,621,534,938,325,862,109,158,401,807,724,958,852,923,037,979,932,174,515,
742,972,273,812,683,489,526,993,086,116,929,554,490,262,118,688,783,418,176,
858,199,856,457,736,876,097,013,664,010,811,796,920,746,696,589,666,413,790,
059,070,276,339,706,882,955,480,089,040,556,604,299,455,050,056,807,902,772,
425,525,766,027,326,641,683,907,565,015,742,870,382,157,716,076,887,689,775,
281,032,224,811,761,909,044,710,062,559,729,695,482,059,646,023,946,813,851,
144,118,571,011,003,100,871,485,080,790,575,322,942,436,199,853,293,598,794,
933,601,364,091,754,468,595,183,397,287,999,866,605,511,478,113,350,002,787,
422,887,209,753,047,256,297,919,746,966,717,153,903,444,369,440,788,608,100,
329,863,526,327,494,804,814,624,672,962,022,441,909,071,538,506,523,557,117,
268,646,653,490,756,672,367,015,658,779,639,869,874,419,600,947,434,746,278,
683,134,683,238,746,845,244,158,837,007,395,273,708,266,563,497,717,364,878,
883,180,946,518,685,907,271,669,944,608,475,565,377,247,286,674,112,927,912,
993,259,786,074,989,356,582,655,210,488,437,432,551,765,788,689,476,870,006,
973,559,832,672,554,339,730,471,482,455,897,227,934,800,152,381,488,174,499,
285,071,120,828,446,132,621,496,989,172,671,051,250,231,856,166,285,580,522,
121,974,455,881,658,572,395,907,248,344,569,378,685,816,664,830,162,192,126,
719,421,954,522,090,782,863,635,524,948,921,379,619,425,746,099,460,069,279,
984,368,005,043,105,204,118,942,781,723,022,214,175,839,704,260,919,891,725,
840,299,170,945,133,089,601,083,501,018,735,539,355,015,176,790,642,893,651,
128,328,133,936,257,315,192,058,365,005,873,501,217,663,179,424,239,743,135,
314,858,835,515,624,446,342,569,926,027,708,611,500,720,418,052,687,015,690,
000,664,364,320,450,417,262,889,257,832,676,903,540,634,887,061,457,929,940,
397,289,873,195,043,184,572,165,762,418,553,683,803,768,868,908,891,269,767,
501,279,678,301,372,441,247,590,616,101,659,618,742,617,731,363,884,223,708,
958,676,867,103,973,914,758,383,779,109,534,700,135,804,677,815,058,622,579,
446,094,081,493,215,156,547,117,185,954,552,860,046,754,449,369,037,974,977,
700,277,390,080,238,561,620,391,832,107,052,104,936,248,988,074,513,177,697,
393,077,120,348,503,416,336,440,123,533,156,794,858,263,250,549,684,326,451,
811,036,408,038,058,424,052,660,893,279,718,239,019,534,640,735,375,864,713,
718,502,273,822,028,434,050,557,819,766,048,383,581,488,772,343,582,128,013,
929,884,757,739,036,090,742,622,516,114,651,222,790,946,520,842,192,840,993,
003,002,664,764,225,798,072,847,963,898,745,125,794,871,237,302,272,745,113,
304,315,165,157,206,984,933,978,472,416,863,477,476,775,263,345,033,878,064,
565,656,763,849,743,447,228,854,142,795,674,583,323,785,049,587,538,976,568,
542,541,831,331,781,599,059,141,628,938,270,095,115,719,743,596,177,283,926,
743,029,902,421,128,429,187,749,788,611,034,369,160,575,989,277,261,183,845,
125,151,887,810,004,291,529,987,631,325,529,464,204,044,921,574,726,611,548,
742,811,124,590,183,350,379,620,888,241,638,312,343,033,945,472,768,357,316,
576,648,362,077,533,499,827,363,042,382,560,062,182,498,155,757,487,109,081,
911,530,537,782,743,058,665,328,458,145,298,429,145,450,841,880,468,791,308,
366,354,671,812,980,782,606,985,503,234,294,373,287,135,203,501,521,633,227,
337,508,559,357,688,750,652,247,182,546,041,813,812,625,477,916,112,651,659,
760,011,782,099,751,579,484,653,281,741,704,196,422,966,285,168,818,107,076,
020,975,442,309,366,890,731,875,756,848,101,231,244,897,846,212,734,357,063,
800,486,181,869,320,249,419,115,208,912,316,583,328,202,224,199,106,799,222,
666,273,954,497,482,891,693,765,627,763,548,932,570,918,732,186,290,337,989,
908,241,702,409,891,258,160,757,507,311,868,400,411,802,373,359,404,293,659,
737,984,921,099,439,607,231,318,393,856,270,313,551,750,422,994,916,749,681,
466,681,400,730,672,217,878,779,925,730,930,786,636,573,586,434,128,100,514,
589,151,128,803,543,930,226,270,501,468,802,714,331,194,993,706,025,752,220,
043,840,352,949,536,607,605,867,040,710,380,313,900,349,788,542,975,390,865,
726,328,707,707,847,263,459,739,445,590,991,187,246,358,203,060,494,130,586,
409,602,774,456,363,491,168,791,971,467,719,982,072,727,188,671,937,650,689,
433,055,698,749,032,530,650,985,414,798,651,189,104,643,421,405,855,938,110,
411,290,124,537,467,241,989,762,388,812,794,908,106,880,026,306,639,788,872,
380,050,207,470,377,325,903,402,414,854,646,747,701,377,327,483,838,241,604,
354,594,899,500,634,509,934,427,157,840,269,605,094,761,976,058,813,914,954,
690,474,732,338,813,438,845,938,460,552,062,517,732,599,774,175,188,677,622,
732,097,404,339,831,749,754,821,314,283,320,035,015,127,966,646,170,234,429,
994,139,597,849,101,997,253,719,108,564,606,113,817,614,212,080,280,417,160,
800,836,162,181,656,973,892,505,580,795,076,458,033,245,105,015,383,270,559,
463,362,776,904,762,038,067,663,210,443,729,363,480,284,397,951,445,254,669,
045,881,474,662,704,628,472,357,841,917,390,354,588,190,835,180,852,917,327,
158,467,898,991,734,925,425,647,676,000,767,181,715,596,038,674,609,316,941,
060,192,287,328,083,151,461,953,749,493,655,103,926,809,114,044,809,134,298,
325,850,840,500,047,549,463,026,246,516,560,973,344,104,374,486,791,259,162,
151,763,363,378,880,368,953,033,969,184,183,043,641,133,522,193,709,204,894,
108,391,364,067,801,968,043,121,169,868,466,392,814,254,254,355,190,986,114,
326,605,270,851,617,651,163,079,617,476,614,873,734,636,304,949,846,586,402,
257,456,520,134,844,491,363,986,855,113,488,412,249,347,289,314,140,402,304,
540,329,474,169,839,693,411,853,150,822,830,380,645,581,011,168,631,949,008,
641,809,761,307,400,408,639,762,155,586,269,095,646,052,682,938,501,923,030,
964,565,339,463,825,993,426,323,533,075,896,569,513,529,936,521,290,141,178,
586,317,745,563,139,682,994,460,446,344,837,607,366,626,236,658,479,736,076,
451,283,446,969,989,153,591,229,956,899,385,630,616,478,973,016,471,882,305,
529,651,149,484,424,595,544,788,340,300,294,750,177,710,558,785,614,805,444,
847,521,741,826,787,398,734,474,377,959,246,381,023,193,976,748,818,180,268,
999,012,282,368,029,235,308,521,840,691,223,190,464,110,997,626,062,768,450,
071,857,870,065,316,656,132,674,296,011,116,120,797,539,201,439,918,231,371,
565,274,154,288,579,173,362,565,849,053,687,920,611,396,138,631,767,712,514,
367,439,355,248,568,119,629,765,912,036,517,113,973,183,132,936,650,411,084,
810,364,671,841,991,141,067,921,440,435,449,561,681,002,614,434,906,572,644,
404,189,980,434,025,860,779,205,786,156,007,722,673,249,646,014,333,186,359,
554,874,328,701,038,548,476,296,813,596,266,928,428,307,499,223,573,850,296,
950,113,271,247,185,342,511,360,581,843,074,673,240,694,588,085,260,799,978,
772,023,692,344,745,962,218,113,375,843,938,650,169,494,673,083,744,178,536,
995,510,454,664,942,843,109,268,869,922,114,027,215,590,097,097,522,910,600,
165,031,251,129,018,517,537,491,871,928,050,411,213,726,107,268,077,036,902,
486,053,053,148,097,923,494,076,088,834,539,181,005,594,195,753,003,389,679,
492,524,825,962,247,949,176,032,447,072,330,617,289,897,715,617,377,401,230,
543,542,605,984,847,994,625,949,647,549,309,447,102,974,541,584,954,985,665,
048,431,020,265,702,179,021,198,212,744,253,757,281,964,816,837,083,007,536,
163,343,245,310,535,148,460,484,336,614,343,075,810,284,188,967,148,945,223,
065,214,403,406,269,250,334,782,533,385,108,821,888,182,322,275,841,399,282,
750,656,040,887,313,163,102,662,740,412,612,167,195,771,119,491,280,355,989,
498,849,407,188,644,068,747,063,160,256,589,704,630,813,050,900,250,464,622,
881,614,339,738,398,530,377,019,933,262,063,208,591,725,580,960,908,075,329,
562,778,803,117,600,750,495,468,306,447,090,113,891,325,249,687,969,566,073,
595,514,903,669,678,368,603,811,764,415,856,012,999,133,821,777,400,828,293,
545,129,303,411,639,000,389,436,712,340,101,114,394,011,428,403,879,815,731,
851,783,729,005,533,550,028,737,916,431,430,718,459,548,717,306,678,507,455,
874,851,741,619,381,127,638,228,060,457,814,462,107,012,074,690,505,387,932,
612,784,162,650,460,473,102,491,995,621,951,727,799,706,511,182,027,179,356,
211,231,192,808,482,695,739,375,634,756,233,159,798,322,859,935,268,075,517,
751,544,457,170,993,786,995,171,895,582,314,496,886,393,457,792,357,755,812,
001,410,516,138,547,692,262,231,830,129,140,904,536,936,812,692,540,384,688,
433,388,572,370,208,785,835,754,603,028,401,733,971,676,859,564,836,407,477,
070,636,556,222,816,943,152,061,400,773,679,410,166,583,856,934,220,001,136,
348,323,199,207,656,286,063,365,024,497,256,738,202,939,524,225,478,484,447,
571,291,822,564,547,919,957,041,719,838,244,760,448,552,811,144,999,111,265,
498,365,160,304,184,361,799,880,465,174,259,644,528,538,528,440,477,245,882,
782,929,114,686,540,698,020,626,876,491,602,722,463,709,805,979,312,137,182,
957,327,524,470,475,243,294,798,878,599,314,594,540,132,018,425,691,774,487,
218,282,897,635,415,849,319,525,678,388,913,234,511,369,891,519,880,543,614,
185,019,039,643,802,917,760,413,322,202,102,853,267,813,552,414,095,587,223,
040,214,282,143,180,443,222,016,841,929,562,531,675,811,683,596,653,664,802,
583,373,522,003,057,554,796,477,261,746,090,416,787,992,922,221,104,207,275,
044,850,137,309,793,385,382,589,831,074,423,348,458,598,846,315,962,860,992,
476,012,721,764,476,201,717,343,967,032,481,826,256,583,770,448,812,855,269,
540,607,117,283,713,443,045,253,125,725,005,016,628,397,460,840,770,112,339,
235,830,803,295,003,359,618,391,538,602,301,321,874,280,199,583,382,858,970,
007,356,586,132,212,859,751,820,571,361,017,033,885,540,668,148,187,443,262,
931,871,151,862,176,510,393,012,099,739,082,764,940,597,689,318,425,301,945,
551,518,818,382,409,020,010,378,809,940,247,030,473,442,323,325,509,693,951,
124,089,471,169,051,929,144,903,033,884,685,842,547,672,539,168,021,551,779,
873,175,257,415,150,547,983,553,401,825,217,193,686,477,588,466,311,525,520,
128,992,563,481,144,628,436,438,909,562,998,876,494,705,022,747,853,928,683,
130,916,413,617,784,536,195,613,302,533,265,043,785,925,899,112,187,471,072,
828,593,788,364,214,698,594,921,039,334,501,680,189,753,434,915,349,565,301,
242,384,105,370,280,958,299,813,839,283,054,780,434,701,389,567,419,173,988,
377,909,916,055,616,406,486,958,722,758,715,336,987,317,880,298,255,916,569,
315,352,947,798,587,268,141,542,805,006,422,981,794,205,657,813,152,921,573,
041,118,923,197,242,197,157,570,073,438,369,237,154,524,591,792,104,545,062,
264,961,248,966,699,601,422,749,361,677,536,511,038,974,328,840,411,254,808,
908,830,614,149,120,121,788,469,612,714,916,943,089,270,811,764,518,772,826,
250,156,452,598,567,206,131,562,317,776,136,442,775,537,307,124,668,352,699,
576,012,716,455,716,244,666,302,747,263,223,615,834,980,419,013,904,366,605,
993,999,321,711,207,597,013,013,131,607,757,521,525,745,743,814,641,831,310,
992,086,012,273,792,340,027,560,784,343,057,781,225,029,076,882,467,031,885,
631,797,942,809,437,244,464,111,869,052,979,477,587,611,784,083,054,221,573,
288,686,296,452,114,963,997,174,199,773,764,659,412,429,542,116,220,269,439,
233,344,296,545,208,626,877,513,661,165,052,445,152,055,819,649,999,242,624,
319,086,062,686,482,188,020,963,701,680,033,652,215,373,883,040,220,920,256,
469,973,071,479,392,097,081,429,626,457,211,136,875,824,831,162,274,632,363,
251,249,521,370,706,952,868,314,466,284,130,743,112,215,268,457,564,826,798,
053,495,005,682,020,744,788,586,752,840,316,777,981,206,070,010,247,482,386,
411,087,508,816,252,035,171,676,784,832,490,104,420,497,810,132,693,277,968,
712,306,125,135,793,472,682,291,794,793,767,122,592,775,291,204,585,718,582,
901,799,879,418,488,321,329,843,120,201,244,402,722,774,419,326,656,082,162,
127,646,609,576,216,551,775,502,251,265,437,568,524,090,634,802,924,259,200,
048,057,609,351,712,881,076,358,313,735,568,471,606,547,358,946,019,213,533,
579,338,229,866,655,464,569,405,906,663,734,904,970,447,597,500,564,559,082,
757,620,095,098,499,321,736,939,647,457,400,785,122,336,440,806,312,911,603,
784,856,954,812,347,410,554,812,409,281,879,487,600,137,730,782,270,222,613,
415,562,485,786,391,867,907,828,514,639,510,682,831,965,408,169,951,185,601,
418,168,031,193,561,864,286,612,049,434,941,052,285,495,376,147,748,129,051,
405,204,481,541,130,609,719,061,201,169,852,196,641,483,942,420,181,453,724,
984,337,530,589,230,837,196,386,670,354,133,587,749,000,234,099,518,666,416,
438,133,384,060,200,322,897,193,380,880,001,047,539,766,133,050,834,939,581,
316,744,105,058,923,095,862,270,080,079,672,058,877,143,920,254,351,183,944,
996,108,944,537,084,856,639,619,002,531,222,565,785,050,441,518,582,995,926,
544,862,334,725,159,336,690,330,728,674,049,913,416,991,772,925,293,347,851,
461,358,610,820,463,990,266,406,907,726,546,273,859,214,509,198,967,722,939,
918,881,114,240,699,025,565,497,080,833,293,141,309,224,948,815,725,844,653,
625,732,659,672,103,304,459,221,131,338,329,775,117,806,774,640,527,283,023,
837,511,924,148,939,240,146,697,146,600,695,768,710,314,754,498,155,716,288,
971,533,928,039,701,956,824,721,029,029,683,756,674,314,348,937,288,582,076,
047,955,594,825,449,621,644,740,841,939,010,081,888,498,455,030,127,201,989,
857,841,628,275,877,427,170,412,280,287,239,368,918,726,972,824,869,007,681,
155,890,846,081,944,254,930,766,206,465,308,662,905,272,684,309,459,891,372,
343,587,095,978,188,622,845,540,247,102,075,246,024,481,191,213,810,774,566,
421,825,895,847,114,870,296,655,622,166,245,381,322,669,572,534,087,854,587,
926,001,359,844,942,318,354,543,664,684,308,981,246,656,694,942,268,317,736,
192,825,848,900,452,366,736,582,740,238,039,433,551,326,410,320,854,549,140,
169,442,008,269,305,692,556,550,179,578,695,633,492,337,871,944,817,288,205,
833,193,227,400,789,880,798,110,171,957,305,403,041,103,162,616,780,487,150,
189,346,792,857,278,311,353,541,988,034,317,637,128,035,442,617,215,255,291,
148,771,145,399,995,141,570,447,346,448,245,202,931,759,926,130,181,644,271,
373,114,885,072,264,434,899,094,143,684,307,536,027,170,664,121,497,857,828,
205,454,635,194,927,921,928,034,257,275,046,594,589,463,646,257,107,682,638,
170,490,601,533,033,330,154,749,962,011,043,200,597,728,252,269,682,054,043,
049,938,651,108,293,629,614,131,462,380,959,813,548,930,567,886,130,174,456,
266,879,638,365,548,186,251,491,889,477,669,480,032,358,629,782,581,824,706,
264,378,954,139,840,433,258,392,202,806,515,851,423,418,141,323,677,425,372,
844,141,681,319,561,639,077,308,842,832,615,231,975,647,824,750,199,552,555,
867,267,798,003,263,639,686,581,922,070,245,574,889,464,041,290,870,728,860,
999,635,976,060,529,867,350,091,923,768,920,079,932,492,305,676,532,684,261,
143,967,883,144,779,734,200,609,564,872,477,298,993,466,549,620,592,060,138,
181,393,719,239,817,931,464,298,830,707,203,869,921,643,981,318,847,759,470,
243,770,841,916,732,520,585,755,213,903,295,497,217,320,192,671,098,580,853,
357,049,843,318,422,035,988,842,450,197,550,837,727,545,206,104,712,338,689,
189,859,826,569,630,471,943,622,389,656,394,282,991,675,543,964,329,666,488,
023,288,775,525,451,042,274,959,494,760,012,379,684,577,043,854,790,503,807,
683,846,050,623,280,445,528,021,396,730,943,081,787,976,191,904,428,188,559,
899,524,729,000,030,558,816,833,468,535,689,943,489,980,094,054,656,151,130,
769,793,330,785,014,386,902,518,257,646,078,403,403,833,768,520,104,259,711,
253,920,409,165,336,440,266,417,104,575,349,450,347,077,955,223,160,303,840,
390,324,312,452,962,850,259,279,527,028,465,780,636,183,556,386,952,002,038,
597,306,799,304,503,798,055,275,040,345,819,700,915,091,872,922,105,236,389,
043,290,726,099,356,357,687,418,165,496,491,426,257,921,953,411,556,119,743,
484,234,679,994,657,936,404,139,210,364,319,319,400,332,376,522,347,659,496,
179,428,175,990,267,129,650,525,234,050,829,792,206,630,745,716,740,303,592,
373,550,025,447,214,231,863,352,364,305,004,508,034,479,018,410,693,089,242,
580,965,903,445,362,253,820,615,340,033,803,054,925,418,969,001,055,287,319,
762,792,059,583,597,612,196,287,525,402,636,749,994,258,695,390,588,336,183,
193,808,846,438,052,622,062,701,536,928,945,630,222,833,447,312,696,903,327,
263,517,020,329,646,879,341,350,040,418,453,231,203,593,808,392,616,169,270,
968,912,240,262,459,854,573,276,022,339,131,614,514,706,971,212,329,750,863,
809,591,622,641,767,484,879,247,666,168,646,589,296,038,593,020,759,438,172,
926,044,736,584,760,856,971,156,237,024,710,173,405,672,787,223,740,196,765,
395,248,564,202,192,563,561,907,974,620,721,990,782,605,705,306,243,678,857,
539,379,332,351,094,452,261,098,320,129,048,598,430,611,069,246,897,985,192,
469,358,568,633,620,784,982,581,252,901,541,697,964,215,020,491,795,441,746,
852,080,283,555,051,640,582,099,123,934,701,391,302,878,598,668,032,801,920,
937,044,326,810,789,838,417,194,938,300,690,980,775,350,461,968,274,625,267,
587,406,519,154,352,726,370,076,803,586,785,458,800,597,740,139,313,908,059,
102,117,868,730,767,328,966,061,997,150,399,056,528,530,922,276,261,981,687,
070,783,950,063,613,137,201,091,426,018,505,704,387,803,121,422,662,675,464,
102,494,398,045,979,361,324,334,915,493,445,833,698,603,560,869,104,172,779,
194,092,645,854,415,357,822,640,328,514,638,044,366,540,781,132,197,861,268,
678,287,571,020,506,028,934,139,615,153,449,613,775,720,142,168,030,711,999,
184,718,009,888,092,367,419,713,851,305,249,271,522,227,503,814,435,876,516,
196,802,196,491,121,340,255,426,179,052,082,573,188,222,697,769,890,516,689,
117,756,952,547,846,535,119,399,771,556,334,392,840,739,509,338,503,104,847,
285,731,201,949,428,256,821,834,856,779,541,917,437,000,685,125,348,219,604,
134,954,642,839,664,352,664,940,492,726,357,374,898,760,556,939,779,482,949,
174,110,038,790,499,371,090,287,791,506,550,811,411,073,230,247,435,976,769,
583,150,175,566,484,603,021,331,512,487,284,445,862,712,422,804,527,571,324,
858,414,137,766,288,590,748,010,104,716,579,744,814,776,614,888,966,916,617,
942,506,202,338,874,846,045,671,333,477,034,575,119,764,963,699,744,137,038,
197,275,784,598,832,256,631,637,979,518,539,994,879,442,983,386,144,316,926,
072,120,199,306,860,260,276,510,618,542,466,678,787,573,665,083,486,933,010,
607,031,430,496,719,338,102,790,372,187,008,927,848,430,156,936,278,071,027,
446,981,383,060,244,522,315,590,607,658,138,643,652,749,787,028,239,611,339,
173,381,262,213,158,955,695,080,308,298,194,805,157,248,329,290,429,712,007,
196,349,023,309,019,917,859,763,629,524,710,089,754,815,011,196,275,601,480,
147,908,651,160,419,620,579,295,993,854,235,277,409,192,905,913,029,960,155,
696,876,235,290,016,080,945,401,356,611,125,851,253,951,517,755,925,462,701,
477,315,307,651,366,504,233,616,658,712,398,771,802,745,640,465,388,625,532,
965,462,605,907,619,511,749,509,086,358,002,617,426,953,601,686,071,462,640,
543,464,787,456,705,389,804,777,808,460,146,662,379,545,139,060,790,108,828,
823,290,990,674,466,978,020,182,741,701,765,618,877,329,597,933,548,551,556,
019,075,626,400,432,622,515,200,718,896,706,100,387,381,872,982,357,793,599,
293,479,091,411,330,344,673,360,263,866,327,225,421,978,948,119,103,622,051,
287,626,683,676,904,129,243,322,343,584,986,750,687,574,629,194,884,956,352,
330,992,953,737,493,355,151,070,182,562,817,748,454,257,789,157,168,077,311,
125,614,424,906,259,685,221,981,202,539,786,109,013,305,027,987,160,221,128,
975,593,936,202,735,475,795,574,379,540,510,346,428,389,778,574,832,569,479,
581,487,090,366,392,472,715,723,645,790,594,445,435,544,085,016,034,790,200,
020,601,437,924,733,564,500,636,649,111,076,295,817,010,562,085,517,052,283,
352,292,279,848,818,732,183,523,003,380,372,273,951,546,396,696,437,527,419,
508,164,331,569,904,225,024,531,436,211,833,384,099,160,322,359,101,440,059,
530,416,039,136,621,939,462,562,038,587,190,752,369,240,944,267,658,593,299,
746,277,785,464,448,489,163,912,052,593,173,652,828,782,986,750,196,938,494,
173,145,110,098,931,728,049,545,005,658,700,905,200,682,277,015,557,987,219,
002,128,416,545,362,739,950,611,850,168,223,797,628,093,174,351,918,624,262,
036,816,235,976,344,175,015,641,609,268,515,575,992,902,425,444,506,816,818,
027,530,774,139,731,761,125,533,649,952,552,632,921,014,346,805,165,352,173,
454,245,566,019,738,132,448,055,215,128,118,695,194,569,211,881,082,610,738,
834,381,118,830,259,515,602,669,527,381,480,693,907,258,841,054,124,439,902,
769,773,862,466,987,758,237,370,318,627,058,471,725,678,178,686,560,743,190,
585,672,511,418,986,341,558,230,093,152,965,585,667,859,717,844,228,334,897,
359,811,429,476,063,005,999,259,786,623,273,961,477,643,511,669,259,491,298,
168,309,151,456,317,905,745,443,836,847,216,421,769,713,478,909,017,775,191,
751,129,729,851,246,556,588,195,171,106,817,407,788,601,771,438,153,033,579,
766,810,398,398,448,415,201,678,599,731,713,836,100,267,978,313,012,888,482,
450,420,722,667,546,136,367,795,071,383,340,221,283,822,110,073,576,099,246,
161,086,451,524,564,388,995,079,528,035,190,498,944,702,725,633,128,765,516,
694,038,338,572,367,635,151,297,749,831,860,530,311,475,077,430,644,473,745,
746,411,516,249,415,539,574,528,460,993,193,456,528,925,354,091,600,623,259,
154,398,396,867,287,567,052,638,033,076,872,701,142,826,268,047,020,513,697,
047,821,946,400,282,760,618,801,016,426,163,036,640,799,392,690,145,554,170,
577,666,657,787,084,966,915,649,492,408,798,249,269,336,405,152,118,638,569,
171,191,381,596,685,040,624,053,960,050,536,500,886,524,055,442,673,884,939,
731,344,023,755,846,032,557,776,083,856,423,951,073,394,001,160,536,882,231,
971,299,610,587,439,743,699,891,314,907,959,697,580,573,120,533,935,094,909,
670,535,639,538,896,726,572,752,468,454,995,372,839,158,807,802,777,392,269,
612,856,582,311,803,562,955,422,984,951,541,975,686,328,528,441,794,301,701,
542,262,661,148,537,085,721,005,647,961,885,570,243,605,276,294,476,266,842,
177,459,155,203,489,129,493,803,029,518,258,264,355,214,033,397,723,808,294,
384,225,676,431,338,502,063,733,574,403,554,331,617,428,286,151,113,428,211,
130,727,970,274,350,924,000,672,297,842,726,301,114,817,813,608,723,896,813,
493,943,928,195,403,749,664,249,141,460,324,516,498,099,206,041,190,984,836,
645,919,689,318,490,440,141,516,680,811,971,415,240,626,312,591,598,382,409,
655,470,234,882,202,941,936,561,987,333,518,536,253,968,696,454,258,808,904,
770,153,630,934,534,575,568,643,229,469,042,144,965,221,092,857,030,807,255,
906,676,731,490,642,362,568,301,645,880,025,237,887,432,085,087,812,728,883,
841,774,752,447,201,706,726,804,166,948,632,919,664,797,026,589,667,424,188,
940,546,549,750,870,703,371,961,061,216,902,235,358,222,569,081,758,194,142,
277,128,561,251,862,611,500,554,333,748,893,888,259,534,763,419,052,697,560,
763,905,700,188,488,328,529,304,389,088,729,148,371,260,025,675,687,889,862,
947,329,487,972,131,835,641,645,035,548,010,354,118,223,709,465,517,387,164,
300,867,937,720,441,035,752,276,123,462,844,375,856,558,974,859,799,834,280,
639,077,538,785,518,892,711,941,616,436,864,023,642,749,103,197,244,370,037,
689,738,511,742,668,628,835,967,061,841,855,065,791,684,467,534,115,394,719,
395,792,346,644,439,069,492,591,936,778,367,857,692,840,041,308,466,807,271,
942,329,743,474,461,623,804,549,036,623,136,298,357,160,820,115,655,886,699,
784,145,375,779,310,743,272,386,384,553,077,392,556,489,354,116,686,792,065,
760,612,066,974,286,408,793,422,977,668,999,858,184,453,389,857,085,981,307,
932,269,962,954,957,794,081,943,825,971,538,842,812,263,440,562,799,099,448,
775,957,957,497,678,689,961,158,716,384,238,322,292,138,391,783,204,748,169,
723,993,308,765,975,979,360,336,285,671,887,766,525,655,195,919,869,855,523,
977,346,279,583,285,058,162,848,501,016,368,622,698,302,675,960,651,295,547,
372,489,064,782,984,738,925,803,875,444,432,334,295,968,003,157,628,976,875,
204,579,897,480,456,128,984,249,663,363,691,317,634,505,081,147,620,693,461,
728,994,397,951,963,715,213,869,681,752,039,286,721,303,772,908,552,961,452,
080,964,707,402,924,508,299,610,497,261,505,782,921,995,159,641,946,416,209,
225,428,505,358,481,991,787,836,515,486,529,452,554,184,284,016,351,153,082,
805,988,709,489,426,769,212,015,199,876,217,154,200,499,087,431,686,034,594,
877,739,361,790,840,171,654,225,661,589,255,792,505,263,140,746,196,064,681,
061,673,684,064,779,010,941,101,919,754,634,010,001,022,781,716,041,125,039,
184,060,297,646,342,805,003,619,792,109,849,169,611,605,309,528,762,938,431,
836,579,539,978,441,794,381,687,269,300,940,038,959,526,534,283,747,420,689,
919,376,537,082,360,625,122,787,196,373,677,689,008,906,914,858,728,756,908,
384,715,170,581,899,131,921,881,986,331,407,562,240,745,607,082,564,729,931,
778,481,126,238,155,215,722,286,998,172,598,594,072,153,944,568,941,069,325,
231,375,852,522,574,288,941,656,656,632,365,560,695,257,733,840,990,971,002,
041,016,598,152,473,933,925,594,497,488,779,122,803,473,578,126,750,151,590,
912,120,172,286,624,566,474,894,772,547,924,561,116,974,872,386,933,282,174,
470,062,154,241,201,270,188,592,153,526,001,154,144,366,622,171,930,355,722,
341,316,061,633,548,984,844,206,300,520,645,447,713,410,224,273,084,581,273,
028,173,134,004,403,985,053,310,284,380,171,534,880,276,954,891,156,574,621,
775,259,225,541,182,527,108,873,582,694,290,073,942,053,285,502,448,281,629,
133,560,093,165,705,442,696,495,381,544,044,835,957,831,445,498,548,708,602,
569,789,762,012,189,261,145,646,497,324,518,649,810,634,083,180,775,027,514,
580,520,462,603,126,274,383,272,213,292,967,934,915,802,466,213,294,183,236,
538,108,545,149,932,107,822,814,296,113,900,723,609,644,198,947,806,184,020,
436,337,392,077,620,345,596,029,359,032,058,914,018,377,247,484,251,035,089,
242,061,453,527,120,059,953,891,390,810,051,340,866,010,709,899,827,401,146,
730,421,124,530,951,182,889,018,036,795,048,147,913,165,259,459,358,328,882,
852,362,572,445,492,986,923,401,891,758,655,052,718,406,614,654,075,328,759,
158,275,721,563,718,234,905,051,780,684,614,391,525,139,113,523,016,948,252,
194,337,570,252,086,141,597,079,393,928,183,093,595,052,506,796,621,358,517,
604,874,205,185,241,357,386,928,838,624,924,570,977,489,550,806,992,707,837,
477,530,995,878,927,806,430,849,935,177,392,204,037,121,360,820,172,068,417,
295,352,918,760,983,543,993,063,705,694,918,343,487,367,619,767,020,637,312,
347,365,921,808,336,536,000,818,169,415,993,453,995,797,102,735,757,237,362,
208,397,071,336,721,283,656,647,687,328,467,753,906,208,749,549,990,075,456,
933,298,663,532,981,464,334,632,075,025,752,918,379,559,296,589,660,245,082,
437,621,155,666,829,327,787,806,094,489,554,379,218,346,664,366,398,386,156,
187,842,433,125,121,032,306,688,635,535,450,603,308,376,924,391,281,503,090,
347,161,688,191,660,607,519,496,650,029,919,057,450,727,843,281,629,403,417,
185,363,472,308,580,507,271,329,153,673,515,187,314,192,358,610,921,838,136,
926,500,801,033,203,367,573,690,401,044,650,221,370,253,704,508,481,719,463,
373,382,853,393,041,694,380,627,298,472,469,251,997,730,931,689,283,233,200,
586,991,134,345,515,908,623,845,983,440,670,743,541,775,479,474,954,079,059,
040,931,019,750,741,010,904,003,232,540,673,219,013,276,467,935,865,386,566,
267,034,639,506,445,231,319,420,723,378,583,379,072,738,127,274,379,044,835,
339,893,904,237,587,326,217,081,865,476,467,413,529,095,286,107,782,753,737,
182,643,885,481,358,449,835,674,765,147,773,314,433,078,085,938,036,063,517,
226,422,438,106,847,707,177,514,277,767,302,617,459,496,936,423,696,907,117,
577,667,872,153,841,666,842,033,364,610,640,884,227,369,809,325,831,998,372,
914,516,036,678,176,096,634,328,296,111,314,887,246,563,210,841,835,062,106,
533,138,646,897,792,904,293,940,398,130,019,280,944,659,390,461,083,095,595,
721,687,829,797,213,404,567,239,027,544,439,216,178,955,420,004,652,180,769,
016,096,710,604,627,814,144,222,902,005,836,806,676,773,345,418,061,482,881,
888,006,010,013,895,204,811,004,989,192,654,849,562,105,369,889,444,212,369,
093,666,339,005,835,396,785,172,548,370,003,679,632,677,032,076,713,084,943,
313,444,860,135,417,545,508,515,936,967,534,829,901,990,367,333,084,365,227,
318,144,599,666,259,546,067,133,435,249,017,582,193,254,449,313,841,837,493,
058,838,927,451,957,361,983,848,577,919,263,384,071,448,995,492,374,980,010,
732,793,687,131,700,371,050,840,401,544,112,809,689,044,895,820,719,101,697,
529,479,987,795,885,829,962,543,110,009,395,684,761,426,569,572,910,115,857,
534,856,355,607,033,222,541,157,758,578,673,614,166,871,052,498,471,816,079,
954,507,800,249,424,975,790,757,140,457,873,259,603,193,866,132,126,499,618,
221,503,178,315,818,561,884,103,258,148,405,301,307,260,217,698,930,987,068,
039,565,472,479,061,710,424,789,816,858,232,851,492,523,894,858,415,632,087,
611,060,580,902,923,339,686,693,534,521,341,085,710,228,399,937,721,657,306,
776,007,931,730,345,633,463,715,079,729,036,093,542,872,307,734,852,650,486,
048,734,176,144,852,691,285,064,659,505,176,897,058,681,014,196,450,741,836,
227,643,700,931,095,697,108,496,691,224,267,776,830,468,651,885,758,477,442,
818,712,395,211,001,103,492,443,256,116,928,954,718,451,245,395,683,026,445,
184,709,226,561,364,627,565,381,173,246,765,403,699,333,451,043,058,755,623,
906,337,395,961,031,123,502,956,841,196,277,596,447,309,480,405,874,187,998,
223,376,489,597,907,361,269,877,603,342,084,702,192,064,350,490,374,355,576,
549,310,460,228,526,116,676,613,217,288,563,052,482,317,330,765,550,184,654,
431,515,635,843,017,559,255,686,456,438,125,283,231,683,443,544,643,587,898,
004,881,184,265,013,423,131,408,036,525,238,017,169,669,542,307,492,801,057,
452,406,841,430,440,100,736,185,739,760,874,474,380,111,927,167,353,193,193,
614,391,435,473,564,568,993,615,974,984,083,617,451,935,640,831,338,794,441,
082,291,610,605,365,483,550,958,611,438,465,612,649,572,470,147,019,863,725,
799,513,085,206,359,180,270,795,507,416,344,565,985,791,353,520,948,998,890,
785,316,804,850,281,663,163,924,801,301,128,142,606,630,700,463,102,270,224,
822,845,243,254,353,123,640,648,159,788,787,508,931,179,411,673,922,504,859,
884,159,636,930,255,721,678,096,909,900,611,317,070,781,859,762,831,179,707,
733,971,147,357,951,116,592,594,323,497,587,497,752,902,464,229,595,231,354,
440,993,282,993,024,415,551,640,347,083,431,825,920,711,998,796,535,946,177,
877,853,144,852,281,842,949,951,391,789,098,489,857,914,194,809,487,034,651,
156,917,769,090,618,842,528,854,334,413,547,311,954,877,847,313,001,400,700,
956,911,189,626,701,495,846,607,007,916,581,942,490,084,527,237,758,011,435,
306,960,972,343,651,683,526,842,212,480,399,558,163,800,927,987,446,078,539,
007,166,401,994,281,825,262,371,821,609,390,266,678,968,529,625,258,473,390,
396,328,469,613,948,416,718,508,106,749,258,661,145,179,523,800,753,771,418,
504,523,037,697,866,947,975,952,497,518,536,942,321,720,304,210,756,292,630,
420,638,088,964,046,414,157,046,549,616,934,126,371,580,567,468,751,552,067,
371,452,855,765,681,730,358,074,275,109,185,090,518,215,966,952,602,811,965,
325,678,802,333,225,950,877,417,218,359,120,306,148,783,157,851,573,151,771,
321,414,159,606,533,817,997,172,200,004,397,903,143,476,782,084,670,138,818,
892,763,453,346,187,320,069,169,548,204,968,878,639,308,216,692,823,226,230,
482,610,186,989,397,684,364,900,088,461,367,248,434,667,621,518,380,827,383,
028,052,062,912,369,676,372,395,951,114,812,351,243,503,201,514,809,517,333,
539,734,167,643,336,382,019,930,934,795,421,154,344,308,712,213,527,867,550,
866,488,426,082,975,455,767,198,674,832,325,017,299,689,915,978,693,205,478,
281,289,796,614,716,591,300,810,464,416,807,023,766,989,725,662,393,215,103,
138,703,837,779,384,413,098,228,980,287,613,396,210,273,508,310,650,620,321,
025,262,503,855,136,981,931,058,177,264,766,397,547,793,516,890,033,118,733,
648,956,066,637,876,044,922,726,431,895,995,622,495,440,556,608,264,217,667,
103,278,024,847,480,647,785,216,328,870,336,025,793,589,768,114,801,556,089,
681,935,139,189,934,937,423,179,270,896,464,579,524,524,370,071,916,564,667,
167,431,571,677,430,647,797,296,198,251,755,246,199,730,126,583,219,976,618,
818,519,476,170,369,290,622,037,495,300,591,199,230,560,720,080,607,767,124,
732,315,259,677,852,857,614,685,119,939,821,603,349,532,568,767,430,192,968,
363,112,003,945,023,675,370,842,407,159,615,189,331,285,557,468,400,784,658,
327,827,083,663,744,507,525,462,825,721,860,919,885,054,958,055,754,588,836,
475,608,933,601,387,555,264,724,159,700,487,215,400,480,977,896,442,370,866,
378,200,255,451,131,367,527,680,121,223,311,522,138,648,847,318,811,418,883,
828,142,034,730,650,381,571,095,252,446,261,152,440,095,365,525,525,610,814,
508,716,316,933,781,443,571,125,720,963,295,863,428,665,026,921,214,227,913,
041,573,031,300,659,835,367,021,488,873,755,088,742,452,976,960,208,771,308,
815,865,703,296,029,440,193,968,240,227,463,548,260,445,512,796,108,713,717,
329,541,662,509,643,219,735,719,022,257,534,552,394,970,942,512,331,029,978,
782,008,899,280,867,710,284,664,590,473,527,970,618,985,247,375,321,036,293,
417,419,921,766,838,504,947,581,190,125,362,535,878,464,363,807,345,343,262,
852,723,530,936,766,028,369,227,921,498,150,379,461,699,030,477,583,171,037,
080,224,574,182,917,246,314,537,997,699,746,274,309,053,479,249,045,304,654,
824,420,466,755,428,211,124,489,629,875,770,751,015,553,909,430,561,771,577,
778,366,482,696,299,273,424,436,581,111,834,591,543,822,302,576,732,954,333,
664,097,836,327,077,657,473,781,016,817,340,951,035,682,037,934,887,835,415,
723,344,874,679,298,724,156,681,854,228,250,668,906,607,430,894,877,048,804,
912,317,639,244,278,921,985,363,019,258,698,925,670,349,046,665,808,457,144,
678,775,769,303,167,068,193,669,795,212,675,877,872,556,760,311,157,919,923,
229,226,923,075,529,547,133,605,412,724,879,698,086,770,373,772,708,728,040,
793,848,530,014,593,314,342,918,306,560,926,244,155,846,576,208,238,769,557,
798,019,089,281,808,945,737,011,441,710,133,429,638,264,368,083,931,220,153,
376,987,818,803,729,410,047,059,563,476,363,276,955,445,083,190,097,360,403,
301,990,770,627,719,214,660,910,530,121,229,878,515,386,703,466,381,537,165,
170,314,759,523,524,042,587,063,367,091,386,126,555,787,918,929,028,028,627,
700,198,265,678,167,883,229,536,134,189,781,762,561,523,002,779,852,595,164,
255,180,057,047,198,219,432,095,386,882,209,635,912,692,137,499,972,906,904,
053,151,311,308,374,305,706,364,928,461,900,445,283,078,427,364,884,693,836,
021,798,885,211,978,372,404,439,408,043,031,436,249,542,275,058,531,621,694,
018,633,324,328,991,697,525,670,164,355,978,488,145,913,920,485,187,935,631,
007,811,157,185,197,314,165,734,540,226,383,455,884,203,437,744,814,837,161,
186,573,092,831,019,662,457,856,502,648,300,531,681,610,197,134,952,281,896,
182,224,670,755,147,117,820,820,561,975,780,421,737,894,635,208,307,044,768,
291,527,418,697,405,296,471,728,990,167,036,292,837,373,439,707,034,661,112,
684,152,109,785,019,379,243,972,816,206,847,957,069,214,337,325,720,724,342,
823,122,547,678,861,931,403,178,294,647,613,667,225,502,362,287,510,328,144,
953,732,776,202,607,214,966,800,630,293,978,602,077,768,217,987,710,876,127,
414,772,928,215,597,110,303,321,231,121,633,350,553,551,116,710,915,257,395,
346,125,827,890,843,938,596,864,369,860,654,182,737,001,304,873,902,964,243,
500,392,403,614,364,674,947,984,693,674,296,676,867,064,887,999,274,687,408,
417,355,087,960,587,217,121,431,086,276,400,419,363,636,161,097,408,845,243,
063,066,837,296,235,832,858,786,372,485,298,381,029,266,739,803,530,463,286,
311,817,750,839,101,004,857,236,444,757,256,382,180,470,987,547,853,540,448,
201,559,460,125,299,361,785,669,218,225,696,316,744,076,996,642,978,789,948,
651,908,819,279,853,897,584,002,668,796,755,011,204,740,384,328,213,433,447,
054,761,548,440,866,768,849,328,182,915,888,572,766,615,375,681,133,083,883,
247,429,358,959,154,544,220,835,638,015,539,069,120,155,660,204,944,935,406,
994,296,681,639,395,747,445,675,177,688,232,901,849,027,012,133,285,318,724,
716,347,694,781,285,498,459,162,260,846,162,982,994,012,663,451,677,435,679,
879,180,794,000,439,275,767,424,153,961,754,419,777,619,108,007,181,522,298,
418,413,081,586,762,597,169,262,956,424,286,040,832,422,578,423,159,157,246,
201,497,687,328,766,420,931,651,305,949,913,287,746,462,154,717,734,230,305,
027,460,072,124,102,116,992,192,157,707,986,809,821,219,040,945,054,499,927,
340,796,237,266,834,951,512,227,593,776,670,689,316,550,837,827,367,985,518,
975,799,378,934,506,411,010,333,917,164,954,409,754,285,599,320,638,860,793,
914,110,039,138,639,338,001,957,308,536,133,442,214,336,016,312,951,655,824,
022,365,434,531,634,874,774,902,898,510,394,454,746,791,206,529,077,903,873,
348,832,563,384,459,386,292,041,859,783,539,593,040,496,968,652,162,330,124,
894,871,619,405,085,168,680,795,155,726,033,389,231,484,468,880,099,834,131,
817,791,251,472,098,284,184,660,745,104,602,141,797,526,194,254,840,582,038,
970,597,899,885,792,033,382,207,946,421,584,128,538,802,399,358,837,882,298,
368,469,171,823,464,086,313,411,445,731,728,540,397,094,096,362,532,557,854,
884,341,838,069,893,992,356,643,923,101,377,764,645,771,734,384,773,517,829,
837,069,185,284,119,083,625,029,370,023,716,112,819,357,884,394,403,304,684,
899,651,537,079,315,890,721,559,586,804,291,815,806,771,837,414,084,819,171,
925,058,405,312,193,492,268,170,897,957,806,967,368,212,385,981,139,250,644,
242,926,640,296,511,294,835,986,068,019,436,981,396,795,837,152,596,325,438,
193,109,915,663,414,073,661,813,611,512,202,569,253,574,205,430,903,121,494,
738,870,017,077,304,938,285,841,539,000,121,367,099,801,388,706,487,365,896,
969,183,791,279,580,558,834,846,848,574,857,009,644,560,802,839,680,759,748,
824,380,708,822,665,236,852,602,668,934,243,224,451,621,362,583,900,769,868,
897,348,674,098,151,463,984,476,525,476,638,397,066,582,745,155,062,085,004,
395,738,344,350,373,025,423,008,072,180,161,781,392,801,158,952,032,931,568,
711,959,897,176,496,624,308,494,129,894,001,593,935,803,458,435,438,041,881,
482,062,974,184,349,428,872,285,130,507,637,974,541,360,867,073,779,606,459,
093,731,489,187,083,728,004,355,171,774,219,506,286,006,313,624,504,333,631,
027,467,339,364,804,986,601,653,618,048,825,239,838,395,397,612,912,956,929,
619,625,110,208,680,406,497,524,945,750,895,629,389,855,325,330,222,769,203,
957,602,909,416,179,377,732,886,265,373,840,169,360,409,455,198,529,081,991,
668,516,994,129,883,149,919,386,986,520,326,226,579,404,079,547,483,288,222,
932,046,015,722,390,083,788,682,498,393,161,887,809,440,094,472,767,895,502,
817,753,596,696,409,282,613,183,817,095,016,873,877,766,144,694,912,418,250,
500,441,610,997,131,813,997,060,092,202,999,326,720,963,603,892,759,478,776,
767,763,832,041,820,522,655,107,462,280,046,907,743,516,316,502,990,339,865,
024,338,810,454,976,995,184,213,381,403,274,628,644,970,908,345,555,089,464,
870,299,886,219,448,258,499,831,692,199,285,081,482,114,673,735,962,703,664,
711,532,726,260,364,290,487,021,749,219,489,498,407,894,892,926,905,819,783,
636,083,977,295,093,088,975,294,212,490,354,111,206,636,954,688,411,422,165,
252,972,717,766,038,345,542,861,017,969,641,471,136,056,803,368,154,541,474,
984,814,456,701,977,219,355,669,312,856,488,295,591,008,174,932,127,014,743,
347,667,665,427,198,584,794,769,978,148,283,271,949,404,625,476,891,505,328,
134,434,601,545,508,645,759,857,163,765,410,101,532,086,964,308,638,839,933,
797,276,699,276,854,492,027,548,945,888,284,062,941,553,148,461,890,062,990,
912,613,940,488,973,293,631,163,926,890,878,567,780,016,608,199,937,377,657,
766,366,392,816,552,471,409,757,056,958,417,768,649,601,067,754,610,271,959,
216,092,953,242,520,767,793,904,038,728,208,837,619,510,081,695,225,417,447,
323,505,578,921,901,889,682,332,371,189,579,256,232,875,923,598,045,288,026,
200,357,142,809,108,470,805,297,019,765,747,330,566,022,064,804,900,877,376,
901,248,716,469,507,346,596,830,469,025,332,870,466,408,685,232,905,107,400,
457,772,539,243,791,246,231,145,862,428,010,528,830,086,331,852,411,150,985,
817,460,038,999,000,085,821,600,090,130,848,758,997,976,062,920,069,201,872,
969,235,051,303,683,226,167,740,220,580,105,146,006,775,134,497,226,005,700,
659,031,617,277,657,243,653,480,985,617,908,582,803,632,695,604,450,946,117,
403,598,731,019,690,474,497,446,393,176,811,262,583,513,639,492,098,564,914,
278,115,843,022,322,186,572,488,332,350,302,825,148,823,222,807,679,350,225,
604,248,313,992,739,887,767,990,368,876,743,019,903,752,853,116,269,328,398,
440,492,243,829,845,978,954,785,002,917,124,109,697,352,710,763,047,064,642,
796,308,973,704,025,934,139,306,966,688,305,315,807,606,590,608,588,009,800,
857,999,461,590,390,100,702,780,419,456,916,592,605,558,310,488,871,477,712,
932,559,995,182,798,762,690,085,868,357,816,951,293,572,434,755,548,603,275,
311,501,220,716,126,935,706,629,901,776,917,677,643,738,662,931,442,142,784,
990,317,361,624,234,298,745,007,129,314,163,914,282,958,129,643,773,455,226,
657,205,176,550,763,166,404,106,466,303,646,957,404,582,759,763,084,810,488,
142,879,047,117,011,350,474,479,576,988,690,533,152,007,903,967,643,013,086,
162,691,050,436,263,989,407,552,510,735,490,315,143,731,468,245,485,900,014,
142,320,982,428,673,503,978,913,779,267,471,271,388,060,055,070,765,212,374,
459,188,960,920,225,622,624,525,659,274,265,824,694,905,079,831,168,812,380,
330,698,281,797,085,797,689,447,862,578,396,427,512,395,488,057,845,849,098,
027,233,194,848,004,167,185,192,341,095,081,077,089,164,966,599,715,225,223,
120,777,104,946,953,515,515,408,276,949,734,736,598,256,692,731,511,295,686,
810,952,949,756,995,203,818,409,004,579,828,470,594,741,061,105,342,312,802,
600,256,100,306,154,017,479,629,815,947,046,413,693,654,523,897,990,107,114,
293,241,879,412,877,278,578,756,245,916,061,699,445,408,860,778,543,542,093,
725,923,553,396,066,503,661,075,576,274,481,129,831,725,099,512,123,641,696,
053,626,474,718,101,969,229,055,152,392,712,046,948,114,913,834,637,185,605,
353,200,083,760,273,257,296,165,265,302,395,452,690,528,700,586,057,537,743,
049,427,965,711,658,177,660,763,244,726,975,888,134,919,423,178,265,855,162,
767,011,494,526,760,990,247,946,125,129,043,862,510,949,421,992,119,241,248,
231,345,058,186,876,379,453,968,104,417,973,885,560,275,042,291,895,365,029,
547,185,585,314,486,928,926,116,361,024,331,018,659,321,074,301,892,771,153,
857,040,088,429,318,548,663,999,099,200,035,303,297,375,983,839,019,091,393,
250,656,246,116,607,478,614,443,673,711,853,782,327,100,272,453,382,810,692,
480,138,450,700,880,148,703,141,552,408,206,146,739,262,541,948,492,176,688,
707,685,857,679,059,999,868,784,474,402,583,090,936,018,387,791,010,763,169,
628,405,412,414,078,527,665,761,795,410,709,620,911,316,298,935,689,254,903,
126,900,329,490,491,021,104,880,552,075,272,787,915,709,088,208,829,166,849,
037,856,867,488,785,483,483,092,850,611,057,996,902,013,991,561,084,940,563,
968,461,391,350,308,505,462,274,823,372,395,574,655,187,600,384,985,457,008,
904,529,101,189,720,324,685,403,895,039,080,719,639,176,715,347,018,686,457,
738,701,190,163,588,828,678,684,868,208,198,954,656,675,768,629,821,224,515,
267,389,117,579,801,451,176,141,527,850,168,326,301,453,082,918,565,683,649,
822,034,600,423,453,995,184,447,714,910,572,997,704,451,246,256,807,793,024,
983,755,434,867,659,433,934,868,368,518,361,052,120,766,260,185,063,816,709,
359,484,783,693,780,377,145,180,855,908,726,691,914,981,713,423,430,899,011,
891,803,100,239,636,442,299,994,380,997,119,234,267,520,250,046,730,392,708,
538,619,848,569,689,244,953,406,574,671,671,255,761,904,627,839,575,028,146,
305,942,008,984,524,490,634,881,351,508,081,360,534,239,989,348,642,964,884,
085,578,224,851,702,815,450,235,645,783,520,566,424,085,976,334,471,841,060,
074,732,997,962,726,799,980,373,046,364,326,673,149,621,951,451,704,001,158,
602,609,385,763,951,916,978,187,661,865,597,955,729,759,612,452,419,641,061,
937,566,248,665,171,204,917,494,977,477,027,023,635,659,978,948,366,555,277,
115,376,639,553,960,135,181,561,294,045,141,516,679,519,836,701,485,503,497,
247,584,141,890,428,672,182,675,402,940,159,712,051,488,287,559,403,213,665,
740,094,580,307,428,143,801,450,553,499,465,344,784,904,714,398,116,062,009,
309,333,062,159,192,081,444,011,758,210,577,889,749,499,962,250,055,776,289,
974,843,254,421,109,657,474,896,930,676,705,241,758,270,746,703,336,128,546,
240,259,214,594,586,901,383,980,093,771,345,328,082,851,039,557,175,252,806,
435,681,806,677,691,710,040,266,395,497,714,794,535,956,060,905,016,605,140,
971,780,235,496,369,715,039,425,604,161,599,918,024,127,766,050,704,553,061,
659,721,396,060,766,203,342,668,393,564,959,199,054,400,741,093,015,565,885,
973,005,054,929,847,664,937,596,668,459,681,831,700,579,818,189,207,882,253,
035,898,534,260,547,045,525,064,891,405,994,762,108,382,690,559,891,697,288,
590,655,869,492,799,182,766,196,749,125,673,117,895,038,197,428,547,082,677,
605,930,200,906,515,629,504,775,132,491,468,867,154,920,576,153,167,978,305,
851,405,214,385,330,704,228,231,223,413,433,309,190,230,694,162,624,615,207,
477,920,798,475,956,204,063,039,737,451,790,975,778,085,359,626,132,906,157,
183,039,167,743,764,846,967,007,307,388,015,242,476,512,560,828,803,605,863,
832,388,549,009,050,160,247,626,336,168,695,573,263,037,772,200,601,337,570,
919,366,774,459,021,713,487,911,141,356,712,017,685,283,459,097,464,437,080,
917,182,257,986,475,262,115,467,262,876,989,564,036,736,294,811,193,128,503,
460,472,160,730,258,634,636,131,306,899,463,579,182,794,175,900,874,289,996,
521,888,278,060,398,698,589,583,174,529,487,309,605,550,308,998,321,046,823,
714,576,984,939,686,433,051,372,852,560,804,085,352,520,389,432,242,499,772,
927,544,941,206,600,679,468,674,932,225,828,163,678,497,760,161,403,084,586,
210,588,853,755,234,935,284,705,280,593,058,384,164,548,317,546,510,754,661,
630,875,332,858,334,815,948,050,475,423,238,416,802,398,083,673,350,122,656,
499,413,160,423,636,858,041,878,626,919,280,049,817,191,200,392,432,872,386,
315,937,446,632,833,470,472,603,626,830,431,262,869,053,461,200,425,652,119,
652,938,832,932,096,854,706,240,317,679,665,967,033,924,870,914,938,382,365,
216,442,615,207,346,852,526,789,319,115,162,327,794,171,915,868,980,752,792,
597,098,730,656,412,632,137,379,435,756,713,825,864,754,046,736,388,420,400,
930,507,527,023,450,653,249,451,178,645,094,128,307,439,453,310,237,959,786,
186,341,340,508,929,764,853,199,446,558,393,435,454,853,418,226,423,777,652,
429,440,871,485,686,184,314,150,587,719,879,583,900,810,756,045,986,864,761,
206,644,217,402,321,466,069,537,194,220,510,707,016,514,167,949,454,537,219,
803,107,821,450,169,182,952,762,677,216,356,032,476,763,304,547,433,093,783,
651,805,977,279,023,883,487,661,534,248,120,196,750,083,116,729,546,896,538,
918,066,536,066,644,728,071,247,347,228,523,125,829,053,351,179,743,235,820,
026,316,721,825,039,076,307,794,806,732,105,091,298,825,388,149,413,766,506,
158,064,562,150,894,684,388,929,468,530,761,855,848,148,908,325,258,331,633,
926,410,014,407,862,734,685,511,948,244,998,647,815,178,104,975,083,603,299,
971,418,841,729,242,427,511,085,060,817,996,968,643,999,736,974,239,861,211,
318,212,845,799,986,938,797,630,522,663,328,931,752,719,781,633,379,282,320,
566,681,296,790,723,263,081,431,990,252,899,948,721,021,292,713,230,138,190,
974,588,886,180,048,234,752,682,555,812,878,131,800,781,238,536,069,607,317,
557,047,015,660,748,083,348,085,543,002,557,930,625,254,710,780,375,030,828,
090,458,456,057,330,728,276,290,109,936,724,660,616,695,759,114,399,761,625,
397,116,410,842,307,471,902,405,323,990,404,771,343,753,249,379,019,878,621,
794,926,241,019,111,711,912,014,170,017,852,479,931,726,336,191,970,913,902,
140,197,894,428,792,094,081,319,253,357,002,429,234,519,729,910,926,594,414,
021,373,050,031,593,331,794,377,571,135,099,891,238,189,179,106,685,866,528,
341,236,187,066,237,628,128,983,349,757,193,214,420,019,793,289,614,357,810,
991,317,381,417,191,820,564,544,629,227,179,734,775,813,345,347,062,096,313,
541,844,206,869,421,212,774,575,822,180,872,193,640,494,678,606,833,806,987,
700,641,360,651,500,011,344,598,484,163,213,740,501,189,218,279,056,211,757,
546,352,102,191,440,610,081,097,331,949,966,359,476,319,664,644,526,620,577,
441,807,487,452,859,010,539,513,440,860,679,361,272,961,175,079,404,056,292,
760,833,412,126,053,459,257,263,519,739,300,271,136,534,219,473,829,302,413,
619,618,540,004,586,835,917,940,138,764,988,755,816,734,667,042,483,167,424,
722,097,315,091,960,806,499,599,677,514,202,251,382,880,459,133,336,879,471,
195,496,830,116,876,514,359,351,935,328,841,809,863,154,762,338,114,508,788,
989,760,793,377,497,051,136,065,198,776,634,049,503,716,633,617,309,687,136,
139,962,903,106,895,538,383,400,054,471,248,303,575,135,710,752,054,678,564,
692,602,896,874,168,430,853,257,770,809,231,255,952,574,771,888,238,499,096,
475,263,323,148,015,898,909,212,003,871,338,382,102,711,026,315,420,551,248,
225,395,888,626,647,384,395,591,448,603,682,111,790,524,259,085,636,025,876,
728,222,853,850,694,217,246,272,074,790,621,011,090,149,258,472,837,319,225,
834,091,285,624,322,037,883,460,089,638,016,691,649,180,650,374,434,674,079,
534,835,722,286,759,446,765,926,969,138,095,121,174,498,117,828,853,564,507,
556,678,474,883,740,859,440,859,446,304,248,016,683,612,754,549,822,792,750,
716,156,458,847,769,833,181,084,766,804,819,923,132,696,181,109,453,224,644,
187,329,186,468,754,897,783,468,731,086,425,389,142,037,430,049,838,029,773,
628,038,055,521,645,932,898,310,186,811,840,702,867,720,376,393,098,810,811,
363,208,690,142,715,728,365,576,119,112,490,858,366,132,212,537,251,146,027,
908,392,011,592,786,898,178,222,839,622,596,004,195,961,806,431,945,696,562,
982,302,644,776,294,710,898,427,422,471,314,267,802,732,063,434,746,244,391,
367,863,674,791,138,299,577,652,598,763,879,871,425,969,310,996,156,245,338,
414,276,363,518,032,357,045,437,504,589,312,100,830,880,902,751,065,877,506,
623,968,339,016,563,343,650,377,841,397,869,725,793,116,823,263,172,355,044,
529,785,082,027,548,481,782,357,399,408,191,801,177,525,239,043,403,337,586,
063,498,583,570,803,417,953,789,572,042,094,417,220,784,229,859,258,192,799,
338,239,199,297,505,251,255,466,405,789,436,677,164,729,202,102,604,644,621,
363,382,528,073,601,026,150,183,926,505,686,216,741,559,324,250,486,757,096,
635,451,492,937,026,563,676,438,551,417,950,551,604,943,221,200,588,918,519,
627,715,125,139,188,752,654,907,344,884,547,280,771,408,355,554,180,188,031,
136,004,376,649,891,048,792,280,637,912,624,802,574,524,140,863,319,901,637,
650,435,429,496,325,454,611,836,030,834,975,419,328,998,297,486,762,405,608,
858,394,350,284,649,529,650,479,167,491,410,200,945,726,400,561,899,224,808,
043,348,042,755,174,564,050,464,716,540,323,222,757,846,225,531,409,996,361,
048,122,790,434,583,263,869,575,236,334,904,642,233,933,560,149,537,078,602,
179,776,464,691,041,058,137,425,305,204,712,606,061,389,664,699,210,189,800,
260,397,806,049,779,679,874,688,150,399,916,986,333,416,434,238,705,348,219,
722,833,978,853,284,482,829,441,814,426,868,132,600,691,455,950,051,159,810,
102,046,230,044,877,831,369,702,595,475,883,221,575,807,869,419,082,596,662,
324,192,247,585,240,619,585,269,546,715,688,141,925,735,217,681,702,490,810,
475,368,925,503,682,277,633,900,712,243,972,953,472,050,062,662,483,303,818,
765,004,798,989,859,607,212,298,933,471,525,203,017,513,993,822,218,242,151,
920,505,875,019,038,541,224,313,605,444,832,904,354,374,197,248,283,589,571,
169,136,004,631,947,379,666,676,602,244,507,408,467,617,188,290,586,520,417,
039,049,177,729,903,684,790,328,044,885,606,218,229,302,884,043,438,817,929,
080,011,040,465,321,138,838,387,474,910,835,070,212,078,141,690,506,668,324,
998,243,550,764,168,846,608,163,382,590,997,355,086,224,676,579,304,065,962,
603,508,985,891,977,659,369,805,176,472,604,250,066,103,177,689,451,535,258,
470,309,322,459,150,637,400,557,196,671,279,924,433,124,845,861,239,383,422,
036,925,131,758,781,492,775,050,459,197,237,389,272,105,430,998,354,019,350,
053,813,088,855,990,349,979,239,997,736,225,407,702,318,396,804,085,342,287,
080,323,583,809,845,969,197,753,382,879,948,456,321,107,836,910,830,829,317,
471,348,124,784,044,909,040,466,728,692,673,232,747,664,361,721,192,911,237,
359,431,724,287,799,307,620,613,948,365,735,756,781,275,773,300,283,467,476,
076,090,030,035,290,420,530,443,143,975,105,779,605,407,181,425,886,283,479,
289,716,285,896,104,717,681,438,410,073,406,685,689,876,082,013,002,283,809,
784,856,174,185,153,740,991,942,297,314,224,670,073,632,389,596,431,902,713,
701,391,622,808,368,089,681,503,905,795,472,380,982,132,662,223,250,135,242,
454,813,704,735,753,918,856,757,698,003,965,387,776,011,406,290,744,099,463,
939,173,684,239,110,844,202,262,127,726,111,644,016,123,277,221,079,233,114,
403,337,398,021,496,125,257,595,039,210,844,347,195,130,285,974,806,590,209,
686,151,825,051,781,389,349,407,782,278,709,886,249,320,700,310,000,046,419,
355,566,153,577,240,461,596,728,540,143,636,933,296,136,403,371,395,709,367,
286,385,135,305,499,499,177,006,841,935,264,411,443,509,005,021,266,421,863,
371,566,223,812,690,048,134,168,010,104,033,896,072,250,964,750,914,710,209,
770,123,288,033,580,036,449,497,373,374,066,939,791,867,421,346,588,890,116,
872,984,823,290,745,271,309,804,092,570,972,715,288,180,214,188,685,074,450,
903,276,618,704,316,541,069,346,949,419,790,261,579,865,844,795,858,135,694,
909,936,350,903,223,847,566,135,916,555,879,542,824,676,353,684,363,158,188,
259,917,650,349,106,089,044,172,708,926,476,013,983,701,555,419,013,518,545,
715,919,475,772,185,744,342,455,629,097,224,328,812,199,958,550,967,127,855,
664,720,391,232,173,511,100,891,989,961,787,849,124,716,540,941,602,806,525,
301,044,432,333,533,579,577,528,667,282,158,851,676,529,008,080,604,977,552,
156,950,795,577,101,408,175,310,346,330,345,611,487,762,855,722,041,226,952,
680,930,169,583,357,229,450,757,291,028,779,139,527,825,510,944,140,666,966,
870,556,888,903,470,935,637,040,541,710,324,078,622,198,518,775,046,054,236,
950,413,809,920,530,873,601,770,149,892,839,105,785,073,607,112,537,597,235,
641,790,933,337,930,763,072,633,619,338,196,328,927,936,905,366,851,550,922,
157,831,320,032,455,699,494,890,869,286,005,189,704,801,835,049,090,067,418,
252,662,050,668,824,561,720,696,374,144,640,199,478,472,717,407,338,397,513,
570,915,098,158,627,852,221,544,317,740,162,915,656,704,799,006,602,008,379,
955,254,602,620,668,697,403,007,869,749,280,576,925,663,199,725,732,610,697,
685,978,618,210,463,512,322,214,060,589,521,145,113,913,068,650,776,986,583,
316,949,715,502,104,022,365,107,997,528,228,571,378,301,740,268,843,829,362,
409,843,687,779,801,335,209,200,156,578,251,082,908,416,633,104,587,600,962,
143,980,867,256,682,813,796,549,469,581,918,817,930,254,314,996,173,046,404,
903,448,935,823,334,717,457,604,603,331,563,582,715,296,632,238,919,349,764,
623,601,199,541,169,491,682,503,334,090,244,616,903,518,664,851,946,321,564,
036,999,374,426,738,525,973,017,375,386,729,290,040,767,190,913,899,367,594,
141,059,952,907,790,513,197,524,611,965,658,125,034,352,065,185,797,419,882,
256,507,701,859,274,564,276,448,758,232,981,366,834,360,479,149,378,495,246,
117,912,274,385,424,061,999,159,086,739,140,595,103,030,451,660,417,409,056,
814,794,323,596,099,553,295,836,162,811,284,011,470,619,197,214,699,877,206,
396,955,278,130,536,595,072,872,430,468,441,771,340,048,396,427,885,945,994,
571,227,099,827,559,447,385,755,121,211,007,970,378,811,441,407,174,427,663,
811,095,671,702,103,552,146,968,844,879,558,166,101,118,990,279,462,786,564,
421,247,749,295,623,045,199,706,816,792,598,553,919,232,721,827,997,216,128,
565,837,962,055,259,356,896,403,715,957,978,174,577,482,735,008,576,498,911,
429,399,198,055,079,154,417,677,759,755,340,778,765,004,822,998,555,890,110,
741,581,251,618,335,037,013,138,681,758,591,402,412,240,528,245,859,424,673,
476,366,929,538,677,614,926,927,716,843,928,664,266,482,295,286,598,422,389,
838,235,084,531,409,673,370,909,105,420,742,564,182,436,523,741,196,795,598,
926,279,630,724,845,963,884,635,833,474,119,130,738,824,558,582,393,643,862,
882,551,113,264,578,941,384,793,007,418,692,364,875,164,996,220,618,710,376,
158,162,542,180,920,031,692,350,062,887,172,759,955,399,335,118,657,931,853,
077,026,144,297,026,163,859,238,550,954,650,942,119,862,422,183,754,632,090,
003,138,771,793,892,983,291,543,499,596,780,493,352,923,822,757,389,155,967,
432,184,119,491,645,469,617,065,516,336,315,982,510,404,752,819,384,249,540,
551,564,481,655,507,556,391,528,185,433,117,637,369,403,875,832,050,523,020,
101,254,213,965,352,173,587,754,947,942,145,903,216,120,445,531,248,741,404,
156,684,367,205,436,055,823,554,283,214,153,118,439,108,555,204,851,775,344,
883,111,256,089,490,994,589,593,887,517,924,001,016,065,000,688,509,131,644,
276,461,530,289,445,630,406,195,632,782,074,652,878,324,532,959,642,486,614,
215,324,394,261,204,300,049,011,799,821,958,424,859,354,076,223,267,415,798,
292,855,331,422,668,549,076,476,055,275,402,829,140,936,497,603,614,627,539,
583,431,283,613,868,355,619,182,996,320,290,582,177,095,721,445,964,892,757,
047,952,570,129,672,681,506,851,655,569,996,584,630,056,433,787,585,399,267,
077,194,320,036,993,148,345,953,493,229,966,347,246,266,683,228,446,171,485,
224,904,965,009,059,423,539,642,613,392,180,260,642,142,019,741,727,871,169,
448,468,499,376,588,825,135,984,908,215,034,302,616,500,852,846,603,046,090,
102,792,388,716,296,442,628,223,604,975,688,317,398,162,331,345,849,458,986,
128,969,927,838,820,614,448,384,430,382,688,390,784,439,648,429,399,607,531,
119,249,654,918,482,638,914,264,008,260,893,225,182,697,111,940,711,312,421,
785,797,764,235,392,470,317,389,859,717,857,928,815,767,083,024,398,387,991,
885,727,119,546,939,048,778,638,972,339,605,682,406,244,966,782,593,961,098,
063,530,448,442,804,305,288,208,841,709,328,472,282,669,970,637,215,294,607,
033,814,142,323,860,688,427,186,931,423,093,470,177,223,183,959,167,385,411,
738,009,599,036,311,711,041,731,783,969,601,151,194,566,258,478,399,760,073,
754,022,094,236,463,135,913,011,538,988,058,956,780,102,333,299,795,633,571,
747,899,588,150,354,029,208,524,220,091,814,655,277,187,482,142,548,442,264,
279,330,523,478,831,822,177,024,230,013,171,973,557,575,569,262,218,838,348,
647,752,901,482,834,687,179,831,882,658,695,824,821,607,524,573,347,790,861,
412,654,798,696,080,171,816,275,563,754,474,629,246,980,648,410,151,491,206,
782,505,571,413,218,686,452,312,632,699,972,357,970,613,733,407,184,778,957,
875,304,855,829,980,202,300,957,319,871,087,716,682,461,796,993,088,943,954,
294,020,627,542,604,837,414,561,930,608,309,811,362,057,598,736,950,005,028,
685,926,408,207,475,107,495,056,560,851,313,243,459,102,266,079,430,796,850,
449,599,405,777,909,399,527,651,480,961,037,746,902,000,383,095,998,991,661,
083,853,752,929,969,262,770,654,557,748,469,697,482,910,671,759,396,380,727,
527,465,052,475,822,061,126,556,266,171,028,305,535,884,078,029,154,265,124,
176,362,339,809,528,975,841,597,902,832,171,782,710,946,810,278,786,718,534,
282,616,061,152,379,591,913,004,904,780,787,146,246,909,685,862,254,754,958,
593,261,624,151,293,946,387,521,704,730,578,751,171,702,902,684,514,781,680,
138,521,157,170,528,151,515,717,451,167,861,468,972,590,474,531,195,734,114,
736,007,127,766,738,003,716,055,922,738,895,979,625,715,731,410,430,384,094,
991,496,314,559,142,966,077,143,949,476,436,913,228,485,078,000,286,780,137,
399,326,961,712,230,756,748,550,051,185,917,873,913,626,003,563,769,758,733,
296,977,500,290,303,020,691,181,144,750,500,778,668,078,327,246,334,164,851,
569,502,810,359,632,299,624,675,841,497,636,766,028,853,151,408,986,269,393,
828,249,770,193,246,405,525,957,102,103,950,202,010,506,202,635,721,387,427,
023,496,421,770,788,516,655,595,623,212,757,180,497,862,644,103,177,255,835,
746,300,641,015,528,982,771,075,170,375,164,619,853,639,214,941,292,673,290,
290,013,532,353,953,999,962,724,781,573,912,178,911,580,696,670,254,614,781,
659,034,790,867,728,646,114,958,955,940,093,505,623,170,756,747,550,607,561,
775,765,812,786,281,963,172,993,870,870,579,846,208,292,230,432,173,421,236,
783,357,864,331,360,067,422,278,985,205,620,677,460,362,741,230,156,288,171,
599,664,639,730,792,360,182,450,912,945,520,764,252,761,179,434,870,313,841,
190,233,313,456,767,193,837,926,235,263,366,430,164,297,574,513,881,186,747,
692,458,581,269,760,927,241,759,058,869,997,552,875,118,892,817,657,139,146,
255,828,246,410,838,088,458,019,322,283,030,830,875,870,288,164,457,521,443,
299,406,943,832,268,298,182,962,449,757,513,281,350,379,865,259,216,055,471,
303,051,905,817,556,196,793,092,016,721,847,279,791,454,596,343,016,282,115,
448,981,235,614,191,204,843,212,235,467,377,216,107,814,585,040,214,807,844,
589,252,363,920,878,348,512,962,461,257,781,077,249,080,410,115,242,832,450,
455,885,497,226,400,988,795,799,331,031,407,120,140,037,897,387,794,890,259,
075,925,008,748,691,345,669,467,463,413,746,040,052,657,682,676,049,385,748,
011,138,437,478,891,619,855,229,687,946,398,584,632,570,203,065,032,388,475,
377,518,246,153,223,212,140,222,272,264,510,883,209,107,904,497,324,193,256,
446,297,138,775,765,496,303,002,110,401,263,278,813,712,751,001,426,257,923,
004,227,153,233,810,765,463,261,673,444,299,441,452,182,008,801,977,207,098,
077,945,796,976,488,177,564,756,539,129,474,210,177,791,705,959,641,897,402,
658,375,864,095,914,429,472,849,725,300,737,697,350,937,763,029,242,383,899,
401,893,496,012,718,055,289,642,256,615,636,021,642,586,919,019,736,372,953,
586,709,997,289,187,412,040,676,111,773,776,951,291,988,328,323,762,622,294,
615,113,460,230,849,130,666,030,819,652,258,241,657,081,092,761,813,752,595,
788,969,293,611,975,262,235,313,763,028,741,337,934,379,207,964,839,584,363,
914,254,113,100,547,689,817,459,767,376,095,768,971,050,167,071,393,849,471,
526,873,491,888,049,350,514,753,568,264,073,377,002,591,592,659,876,289,735,
795,966,968,842,661,709,804,419,247,921,177,225,566,394,472,118,032,792,738,
410,512,538,119,802,957,392,010,982,025,005,202,556,511,316,258,482,719,295,
433,676,788,244,133,183,833,090,099,295,745,796,044,374,218,596,015,870,616,
354,570,725,857,402,674,793,914,060,362,408,603,737,366,513,641,150,646,607,
680,927,680,821,071,825,298,057,236,771,429,913,021,800,429,177,029,661,055,
797,770,805,004,274,183,109,565,181,174,736,266,315,620,493,709,638,676,250,
547,853,285,674,994,867,624,033,542,672,301,884,027,361,951,494,892,793,921,
531,266,713,916,875,390,404,776,861,393,326,836,847,552,352,702,821,206,083,
017,408,769,297,020,038,061,666,284,845,220,946,808,447,512,144,645,720,912,
737,354,648,882,377,284,037,142,666,225,867,650,482,402,068,936,358,795,242,
610,317,303,788,712,853,008,062,260,245,208,692,663,752,158,658,733,228,574,
899,011,672,890,057,100,654,461,527,964,322,726,964,190,954,219,745,993,813,
619,356,072,032,835,990,598,082,900,165,225,245,673,638,570,431,413,595,043,
089,359,697,870,778,578,036,489,590,066,424,736,030,811,652,138,172,572,438,
780,655,806,975,993,914,919,703,728,554,353,002,340,826,118,740,014,170,188,
172,586,793,763,915,317,534,282,299,907,396,410,771,570,590,219,000,338,694,
394,128,970,298,110,431,873,130,486,129,550,392,081,355,618,154,412,371,279,
312,626,641,418,563,298,010,250,853,434,820,012,765,547,651,374,083,469,472,
877,724,471,987,739,128,653,621,086,484,868,022,738,332,111,072,569,230,046,
218,052,635,186,985,836,994,035,095,579,079,552,199,614,642,027,930,306,904,
913,163,551,984,840,497,570,244,750,314,864,287,972,895,956,235,908,596,117,
135,435,170,986,270,694,172,615,435,338,513,758,814,105,316,972,940,568,987,
096,423,741,482,265,004,190,453,817,739,787,622,694,339,519,964,081,568,958,
643,093,716,240,581,372,438,778,050,452,710,495,554,954,901,135,044,621,599,
793,441,017,893,932,021,148,921,184,445,272,900,818,027,051,694,018,128,518,
527,855,172,604,498,707,547,615,649,338,677,135,287,354,392,740,270,206,042,
357,895,015,252,046,823,691,748,528,910,371,176,538,343,981,746,325,617,514,
085,430,120,498,343,294,198,659,744,461,818,323,202,983,099,167,364,490,682,
946,257,710,170,417,508,194,621,593,192,484,095,903,277,521,921,183,414,893,
144,688,569,463,508,364,606,037,183,951,184,546,993,269,407,896,017,955,136,
279,491,527,361,246,370,457,899,055,916,046,690,347,395,081,667,709,167,742,
596,843,603,689,572,689,302,747,138,520,441,884,928,566,911,042,301,281,487,
375,365,927,230,916,414,292,269,238,437,341,530,250,505,962,192,630,900,153,
361,259,043,533,590,132,423,796,515,278,233,551,078,179,981,888,837,773,771,
481,650,829,747,342,101,746,794,182,091,542,422,503,985,505,653,220,320,658,
320,923,611,071,231,524,855,880,967,193,872,821,078,599,414,334,106,907,148,
759,925,964,839,330,804,921,399,053,242,044,792,511,763,311,554,362,350,324,
170,388,296,142,513,012,667,622,932,386,149,400,633,206,741,609,701,551,859,
528,278,000,595,112,121,007,909,051,640,651,366,327,973,351,755,306,609,117,
676,090,160,736,324,733,931,390,818,577,721,313,610,752,884,257,404,312,956,
777,273,800,175,334,007,228,035,112,816,077,809,015,404,731,644,214,559,850,
353,480,076,902,721,929,488,825,358,659,961,524,450,439,537,146,931,601,672,
298,444,391,089,400,663,605,527,235,438,597,863,662,927,291,067,425,806,151,
686,348,524,993,746,241,414,548,372,823,934,947,042,035,648,295,798,050,150,
321,478,923,797,269,809,467,878,117,168,684,427,966,197,122,097,292,833,341,
938,993,871,976,563,701,945,736,425,110,898,044,591,454,765,739,607,744,367,
708,521,317,302,342,693,119,755,151,408,763,813,403,797,112,572,511,392,983,
942,855,084,808,305,832,818,462,783,160,856,967,580,431,462,838,236,778,458,
958,380,494,795,377,623,014,000,349,527,201,547,803,901,036,089,284,603,586,
899,989,144,410,869,477,882,312,416,585,802,843,699,925,473,572,464,069,563,
569,388,015,281,063,602,113,965,724,367,002,614,343,160,599,496,783,853,300,
056,032,682,515,965,820,963,355,851,050,620,603,879,005,445,747,376,713,784,
773,275,125,130,635,691,740,940,784,176,251,077,824,922,485,948,199,657,855,
653,078,701,540,618,782,700,772,007,042,778,132,698,118,190,885,795,708,486,
012,925,411,911,620,515,067,923,865,773,649,639,435,273,340,487,113,974,469,
291,108,326,845,702,235,891,708,227,563,340,484,318,754,307,160,204,902,490,
906,361,036,892,542,255,962,049,082,549,345,601,902,167,023,080,702,503,907,
018,349,978,192,269,828,958,699,110,698,950,248,496,712,113,293,788,375,838,
483,321,794,899,831,279,267,349,021,608,409,089,746,997,806,993,499,089,867,
084,378,546,699,603,068,939,836,257,407,837,840,303,993,581,462,813,912,040,
867,172,814,400,285,109,005,856,070,567,907,944,429,457,797,329,807,338,368,
819,843,020,024,509,401,143,017,998,999,334,364,513,574,571,192,991,148,314,
066,922,185,502,279,423,834,118,303,018,295,778,800,077,488,496,643,899,946,
716,103,188,496,312,042,064,295,876,025,130,311,385,164,323,596,276,771,660,
241,140,750,492,481,313,038,630,921,280,075,568,856,874,188,470,318,842,777,
744,780,512,134,431,188,235,987,759,518,529,014,731,740,835,962,365,804,520,
905,605,727,202,540,084,709,109,420,632,271,100,786,906,801,439,388,814,958,
090,443,358,846,948,528,719,282,327,107,809,444,817,950,766,270,020,938,740,
180,852,005,951,461,481,906,315,782,057,671,810,211,856,627,579,839,570,306,
126,887,524,463,884,157,676,998,545,944,681,861,940,264,787,848,135,824,300,
530,077,204,454,682,805,262,397,689,439,922,389,610,610,227,735,988,388,165,
236,576,115,966,470,713,807,462,389,639,374,203,776,863,396,909,712,472,766,
142,689,077,108,456,749,162,677,444,718,116,555,024,611,104,033,302,458,352,
103,675,092,474,243,412,462,723,402,896,285,645,284,756,060,508,757,888,042,
732,407,931,733,447,862,482,754,345,982,797,770,424,358,659,733,780,597,601,
751,302,128,291,692,061,851,215,368,760,148,641,027,501,503,907,733,290,786,
491,996,318,036,759,206,274,411,790,204,371,454,252,184,082,071,710,776,743,
880,088,751,135,447,999,339,589,549,984,817,848,934,028,953,643,684,002,793,
475,556,090,836,085,772,464,397,381,674,155,573,110,226,232,032,002,714,593,
227,560,297,665,723,386,668,905,585,377,150,860,446,829,426,978,547,435,575,
165,712,444,313,173,622,418,757,616,180,963,953,190,028,432,488,528,271,337,
910,940,211,700,482,944,204,105,443,834,682,356,116,847,737,846,716,057,886,
016,577,538,564,099,383,831,595,693,956,073,137,808,213,706,327,417,041,247,
501,751,499,786,733,342,061,767,298,889,549,953,576,172,954,170,992,895,340,
736,053,238,994,006,482,285,923,130,495,422,502,964,069,304,497,255,884,598,
302,083,415,739,292,190,397,563,425,105,936,590,250,317,287,933,780,342,527,
655,470,633,722,414,957,857,224,043,008,029,975,177,896,373,809,369,318,559,
877,455,403,499,150,789,558,533,414,195,109,444,643,361,754,055,048,696,089,
671,930,593,011,089,704,181,199,558,996,510,863,430,198,633,920,042,322,052,
856,101,157,132,881,652,856,294,219,851,749,096,001,965,717,459,031,430,878,
244,977,985,211,248,880,166,812,465,900,481,700,879,706,567,915,664,450,765,
325,568,565,670,692,343,553,250,981,881,040,952,068,409,581,421,458,511,440,
147,554,695,051,810,834,687,978,533,032,093,524,563,091,357,466,794,690,956,
975,740,833,463,830,129,660,182,963,632,186,761,528,590,374,700,155,446,265,
158,297,354,811,940,962,389,530,223,088,464,244,269,943,264,836,948,455,014,
813,540,308,940,173,484,535,916,775,366,880,551,894,955,946,809,964,138,125,
564,031,253,305,705,414,304,411,933,343,835,489,374,776,915,548,324,894,574,
013,869,222,359,452,162,844,196,639,671,666,269,382,948,761,727,910,882,685,
066,440,346,297,599,111,246,286,640,254,675,473,330,876,966,022,361,668,782,
431,008,452,995,804,420,367,321,118,866,978,746,529,825,533,570,235,511,245,
407,490,751,933,597,301,389,867,280,980,299,564,855,386,998,131,022,910,810,
388,952,693,887,017,001,820,352,333,921,651,469,533,196,012,354,059,510,681,
444,732,727,882,490,469,839,348,936,514,633,355,078,378,907,856,647,953,045,
680,116,912,603,896,113,043,625,061,265,429,574,684,199,389,798,672,951,824,
076,700,657,054,530,250,481,682,640,164,950,035,560,761,952,938,466,654,716,
803,211,352,189,640,965,180,627,594,296,096,859,381,902,402,948,342,059,683,
284,293,467,597,302,389,646,955,292,677,877,129,733,974,205,167,712,161,315,
978,262,707,524,733,351,385,309,603,564,610,141,910,485,319,812,206,798,417,
154,991,188,387,622,554,180,830,870,526,052,350,424,156,805,710,132,322,659,
046,925,516,180,158,732,250,962,415,719,078,167,445,557,943,155,770,888,847,
815,668,986,550,188,447,024,884,396,923,455,959,302,157,354,541,023,823,842,
894,452,508,816,536,909,141,180,235,275,895,725,986,851,782,705,330,451,507,
627,488,850,987,147,317,683,835,720,821,797,953,662,531,852,770,048,200,578,
879,522,514,775,207,217,338,360,757,489,537,232,643,248,316,251,212,519,534,
354,048,562,902,038,137,030,969,557,700,645,727,803,507,839,347,484,902,115,
174,889,653,758,955,064,753,202,810,759,730,153,297,632,464,062,958,027,724,
566,990,253,250,161,870,628,280,898,784,182,844,171,639,112,516,703,221,324,
618,277,278,625,318,157,311,638,493,181,954,513,520,465,537,716,169,461,422,
764,394,501,041,981,086,237,692,928,754,546,379,725,308,878,300,425,189,739,
547,046,760,437,492,067,285,823,117,391,743,803,534,698,911,723,582,561,367,
845,911,620,815,944,009,849,513,544,661,532,413,948,612,180,190,199,642,322,
362,614,082,587,064,607,790,052,792,178,528,767,023,976,778,433,871,112,345,
078,905,057,965,838,368,218,445,861,760,509,479,817,786,828,023,108,138,848,
470,801,322,908,653,425,302,392,416,872,870,255,413,429,523,933,024,189,794,
785,240,689,291,063,557,347,968,825,516,809,894,999,391,066,355,396,691,926,
682,050,788,057,643,220,061,258,627,116,685,259,212,924,131,742,742,963,001,
354,826,007,726,952,581,330,408,727,949,976,507,181,086,223,667,455,494,138,
373,080,691,843,862,810,603,272,254,745,858,965,564,618,341,866,381,510,589,
274,044,152,064,889,358,594,068,784,061,825,112,686,890,871,496,910,902,049,
598,470,682,156,272,619,304,696,970,302,964,858,612,139,973,144,724,628,865,
718,603,448,234,605,723,506,591,638,034,078,222,153,253,030,360,024,233,297,
972,396,495,129,615,283,420,841,672,491,995,017,781,214,139,670,862,000,283,
887,022,917,247,303,160,602,071,745,701,264,827,628,914,972,557,994,350,828,
942,209,508,779,969,661,010,720,501,808,799,228,008,597,561,785,742,585,598,
936,078,550,517,948,749,786,909,171,905,225,400,814,111,979,928,995,421,904,
219,311,881,799,892,382,645,069,488,957,147,749,420,406,126,438,393,471,020,
525,489,834,085,335,154,912,282,001,526,777,211,615,966,203,185,240,945,000,
039,996,503,768,664,732,840,801,999,551,328,589,118,774,380,094,083,426,212,
426,868,886,666,089,772,519,020,628,052,092,245,791,705,315,923,543,611,367,
266,547,002,932,359,777,763,019,523,815,161,010,599,185,949,262,854,725,931,
588,321,916,729,625,638,863,609,209,519,802,765,024,937,005,042,320,046,239,
684,694,868,042,013,827,570,569,068,384,336,808,216,339,942,909,834,171,167,
755,966,551,553,323,819,186,138,913,383,210,157,128,066,387,416,583,363,943,
023,135,589,084,491,792,781,707,659,698,658,901,345,443,215,009,215,019,357,
162,727,222,258,837,385,158,349,941,822,007,786,326,595,256,949,971,837,582,
141,535,514,009,134,251,620,162,652,803,338,861,186,460,495,135,996,733,394,
704,232,059,159,660,324,743,810,694,544,108,321,969,629,029,932,294,630,451,
528,869,034,307,698,403,171,404,747,494,574,521,690,873,868,226,365,819,919,
672,791,191,549,855,481,251,473,888,004,200,888,095,721,608,195,473,481,005,
300,733,242,648,442,297,912,065,040,041,682,710,416,235,699,081,073,962,568,
404,707,790,062,927,356,114,485,447,029,050,923,935,812,677,468,516,756,900,
069,852,339,868,636,632,474,361,414,558,611,231,489,451,779,665,171,079,087,
158,334,125,315,795,177,432,811,744,796,800,938,439,443,950,781,533,791,340,
222,747,514,192,463,288,296,859,243,723,818,420,064,861,335,506,323,740,435,
128,718,901,921,864,957,001,140,814,724,816,768,827,520,129,831,233,509,695,
421,731,319,479,259,269,528,499,813,530,691,038,122,343,623,930,285,004,842,
378,387,160,956,187,184,766,680,449,574,474,363,168,719,438,465,526,959,417,
478,175,466,942,702,010,523,965,114,999,431,314,049,356,061,068,842,718,463,
558,030,345,888,543,290,027,439,109,506,932,549,264,992,589,379,592,074,287,
378,088,228,147,884,862,780,779,242,401,219,886,274,662,023,064,219,653,119,
516,885,298,859,751,574,017,275,489,214,201,489,137,484,764,394,839,837,179,
638,655,454,489,724,194,820,745,263,565,238,538,551,774,850,918,953,136,017,
870,811,230,772,931,164,347,189,539,179,767,863,892,657,005,262,086,682,542,
829,459,125,489,915,351,034,531,477,388,584,849,514,679,206,384,880,065,635,
561,059,779,531,310,247,716,491,406,711,608,529,072,273,541,993,745,456,580,
696,145,946,621,871,584,823,767,533,601,163,325,827,197,708,620,770,107,719,
844,788,909,381,793,772,306,714,465,177,417,702,188,042,213,183,780,407,249,
516,817,935,430,874,928,466,583,062,773,738,581,109,797,293,427,563,840,429,
045,889,306,059,688,771,975,873,087,221,975,572,469,446,406,511,353,464,156,
820,943,193,419,013,898,522,230,900,401,437,172,072,535,598,903,983,108,524,
180,157,460,815,227,315,982,506,613,753,007,976,648,694,432,717,097,136,565,
438,599,139,607,689,801,482,414,511,597,571,877,168,393,878,797,422,992,199,
292,675,906,606,557,459,537,496,049,347,819,265,945,430,241,977,407,395,317,
887,624,793,367,709,596,494,202,582,655,945,260,001,010,523,302,213,796,975,
997,063,479,049,022,510,872,065,830,429,138,916,140,844,789,662,813,669,983,
228,011,669,640,891,094,746,298,627,513,894,250,996,907,415,280,270,271,535,
394,313,640,822,706,158,103,987,577,120,691,480,131,253,271,787,764,972,569,
637,878,541,786,571,518,530,608,283,688,566,606,303,937,704,504,054,594,631,
350,040,506,503,925,130,571,093,600,168,605,368,799,967,615,036,476,651,407,
894,347,518,155,002,292,088,490,896,740,849,438,522,756,177,993,108,681,775,
193,094,447,928,865,631,441,376,016,043,464,081,588,314,132,782,013,901,190,
418,287,767,387,451,339,930,776,646,861,959,573,115,767,949,891,659,923,995,
633,928,623,957,819,160,896,921,994,950,227,943,610,261,315,997,441,642,204,
857,079,411,283,414,539,019,517,829,554,475,924,801,819,546,950,844,233,532,
353,790,778,884,208,650,571,945,010,207,205,959,769,820,971,418,909,947,407,
836,456,882,844,292,254,933,813,344,591,296,094,835,532,253,453,742,024,104,
623,844,703,750,332,862,864,909,789,728,532,116,005,969,725,838,438,164,953,
349,559,399,114,277,370,333,962,132,976,015,461,595,837,469,214,005,000,845,
199,992,347,602,032,920,920,174,170,551,845,978,827,630,304,882,491,183,907,
934,368,739,010,548,167,444,284,583,851,873,079,592,434,991,519,894,757,500,
132,420,289,272,073,607,057,186,544,030,150,272,246,491,225,274,460,845,475,
562,234,964,518,668,706,043,304,408,951,077,436,214,018,880,307,144,185,509,
859,602,830,538,793,832,857,765,623,191,255,085,817,680,937,294,771,941,971,
853,840,077,590,435,388,630,000,283,387,592,290,802,714,369,434,857,927,297,
643,061,074,647,599,770,800,847,836,603,261,266,682,346,594,353,177,782,048,
561,428,499,630,119,478,498,467,011,149,872,600,524,755,859,019,962,333,244,
692,396,489,209,296,048,625,857,149,775,143,809,471,529,886,413,166,510,260,
253,863,246,238,808,470,190,654,601,840,183,949,318,397,498,276,540,881,055,
432,992,754,542,627,049,022,423,417,184,244,283,789,189,593,226,571,611,148,
633,812,186,348,220,881,479,557,611,927,259,422,197,804,444,986,343,429,772,
061,250,509,204,223,604,144,920,834,608,904,653,074,948,481,993,843,309,996,
056,490,969,188,737,084,733,624,785,855,508,812,894,962,031,823,403,994,820,
739,664,039,699,410,514,467,573,735,302,644,567,840,954,033,656,989,707,323,
888,557,450,186,290,945,039,761,555,387,435,454,160,422,690,611,136,445,489,
713,290,025,932,425,933,335,257,353,890,723,699,572,721,819,656,537,941,779,
901,263,468,708,671,028,081,301,532,344,546,939,280,296,177,669,654,939,457,
060,932,042,069,037,995,509,863,088,910,988,247,650,215,807,705,882,627,970,
218,541,525,021,136,852,267,394,515,765,461,222,702,066,691,379,642,556,382,
987,661,743,802,667,931,503,897,852,465,966,292,681,273,455,691,468,200,289,
588,832,235,819,161,423,844,477,388,457,690,847,100,465,391,009,543,336,098,
465,878,108,221,258,922,885,997,758,242,848,518,896,976,609,620,408,750,156,
650,371,434,794,812,418,094,678,703,367,740,587,276,466,989,613,070,881,286,
616,905,523,432,376,707,567,499,796,315,209,189,917,633,680,914,178,725,208,
353,615,210,606,731,492,888,719,151,126,805,287,759,467,486,646,000,536,464,
608,234,883,199,373,230,949,037,322,518,667,726,253,574,790,234,571,243,933,
969,682,712,616,501,604,538,788,867,822,987,320,628,547,762,048,704,945,939,
286,257,084,523,275,965,796,832,727,857,131,802,286,447,663,433,306,841,657,
467,806,797,061,839,762,007,572,443,440,366,334,940,791,111,932,247,742,230,
091,960,743,258,425,121,147,930,753,033,046,155,901,152,660,170,894,748,409,
258,354,996,711,375,336,562,021,835,052,007,240,672,954,206,605,399,519,023,
339,945,308,839,180,133,294,164,975,767,294,422,427,529,099,886,350,669,279,
749,528,422,253,921,896,949,198,139,506,724,679,087,298,019,386,058,610,848,
454,667,843,602,974,205,792,858,723,437,889,155,728,892,057,398,209,817,388,
279,498,351,405,025,476,207,068,463,844,688,445,330,146,222,468,910,252,150,
696,753,192,824,888,147,157,753,018,019,896,925,525,892,258,079,168,166,015,
164,490,880,325,241,480,776,662,580,585,015,722,582,704,881,458,385,953,791,
654,405,590,485,169,347,384,205,272,401,265,250,584,152,469,904,351,024,569,
568,015,848,641,729,802,961,872,790,204,396,486,949,229,368,030,495,142,930,
050,574,968,651,118,779,928,052,668,518,838,571,878,654,477,888,498,093,021,
432,817,360,885,062,867,215,860,176,628,905,276,452,194,140,569,668,339,783,
009,502,900,628,738,230,276,802,858,459,287,444,113,969,604,964,739,388,249,
218,724,985,603,483,808,009,691,108,903,785,521,756,028,427,286,576,678,917,
917,942,374,874,590,595,694,315,636,500,077,203,376,375,667,089,219,511,927,
466,730,489,818,446,701,444,061,498,218,310,982,394,334,154,949,652,683,072,
168,089,450,414,758,391,580,176,876,160,133,184,867,120,308,219,138,478,471,
330,984,644,970,346,387,562,983,410,240,102,868,876,091,441,369,194,766,351,
936,025,907,661,070,649,524,543,430,107,559,237,081,691,732,966,045,779,206,
107,235,294,199,502,455,239,532,533,320,910,522,243,677,457,370,920,766,903,
544,303,466,077,417,794,392,503,440,843,139,000,369,891,874,318,898,987,299,
530,997,237,990,343,083,549,501,998,137,610,607,167,468,483,652,960,903,880,
268,198,101,719,750,781,604,900,709,532,144,278,693,799,475,199,085,989,729,
518,253,751,440,465,093,149,630,770,403,056,680,597,692,189,384,183,799,314,
014,682,661,692,943,094,116,745,739,638,508,689,762,000,087,142,905,012,414,
597,973,598,223,506,824,883,608,363,039,673,632,502,493,179,624,014,727,455,
272,704,979,045,580,924,461,023,006,948,979,813,247,636,125,274,068,604,304,
399,026,990,805,342,842,382,112,697,748,513,458,707,770,991,771,917,353,655,
821,733,955,404,837,178,188,392,777,616,630,544,964,612,920,324,252,647,658,
516,099,468,006,848,139,581,697,010,702,079,005,602,077,371,609,714,461,890,
559,042,270,824,605,641,354,986,185,346,739,187,473,572,204,758,958,316,735,
147,888,764,326,355,003,253,209,654,825,814,914,410,804,610,809,327,087,566,
514,380,267,650,088,688,645,809,352,454,523,410,286,061,641,564,473,467,873,
734,425,680,361,407,405,974,439,685,059,784,886,661,953,453,313,190,864,534,
635,392,479,424,555,585,324,501,117,053,067,540,167,845,121,766,207,894,672,
811,617,662,476,802,951,196,940,760,039,401,956,191,498,275,199,736,531,722,
184,063,028,424,633,140,269,630,672,356,696,499,364,451,207,141,948,738,279,
348,480,065,395,479,565,318,342,251,107,292,197,808,823,414,820,221,233,578,
231,641,897,462,641,170,094,460,279,021,139,100,905,168,285,407,642,659,932,
823,425,551,039,767,656,463,140,545,634,595,084,863,900,928,456,491,493,769,
934,686,293,474,320,636,100,920,344,395,303,499,336,400,724,444,897,284,642,
967,363,791,139,866,710,873,039,260,715,109,461,190,751,416,720,041,593,762,
913,333,631,978,500,291,454,826,389,552,658,842,348,930,579,450,356,374,434,
060,607,054,519,557,117,780,155,937,150,683,830,207,503,714,296,967,617,810,
524,721,916,558,398,881,012,090,224,962,093,566,983,802,822,418,933,836,821,
104,146,663,905,280,615,738,066,072,484,062,799,571,154,720,137,778,667,176,
847,648,865,532,905,121,187,792,436,057,009,918,939,076,264,777,263,891,708,
609,957,091,703,492,121,794,308,733,616,619,868,457,582,373,268,202,836,772,
052,327,580,688,685,526,453,117,112,610,699,203,392,169,041,296,726,433,513,
995,997,754,530,383,693,564,757,858,862,942,328,167,280,940,195,150,742,765,
392,289,756,976,827,448,087,547,249,065,836,172,292,324,682,018,683,793,911,
102,889,750,546,058,275,858,677,217,810,636,631,400,872,748,048,026,526,448,
796,112,370,322,366,818,568,154,335,766,681,386,735,479,417,805,010,099,175,
535,914,842,849,817,169,547,920,106,974,215,152,341,980,905,800,783,809,132,
557,037,685,844,278,662,112,889,779,691,862,685,765,556,379,628,424,985,878,
573,160,452,865,789,998,486,770,611,685,179,703,163,199,940,581,022,366,625,
641,123,702,389,179,284,248,589,846,890,440,860,058,862,396,955,731,447,866,
819,900,321,014,362,900,243,635,809,550,403,617,466,148,435,355,407,726,736,
162,750,747,301,770,228,271,727,728,303,281,396,413,257,872,586,496,323,493,
250,429,495,993,534,539,172,649,316,426,798,427,976,428,095,668,028,423,330,
297,582,188,676,369,214,678,604,399,562,656,309,377,867,215,818,808,672,477,
385,033,001,458,519,402,085,626,776,010,172,891,109,868,484,537,195,046,399,
561,766,630,582,604,835,635,103,714,226,773,935,283,587,878,173,462,459,757,
300,069,385,882,548,451,674,274,934,086,142,019,046,460,680,410,210,038,880,
210,569,262,926,420,970,137,600,490,834,615,022,511,841,542,901,895,820,879,
088,696,996,718,246,506,548,801,721,679,972,532,767,235,029,780,770,004,107,
706,408,509,379,503,155,255,507,740,456,080,914,844,146,950,854,439,713,677,
355,250,141,714,122,250,411,983,025,594,824,601,932,679,704,559,094,847,065,
495,589,891,146,741,699,672,251,088,008,309,438,689,181,407,981,824,449,784,
800,733,340,376,388,281,869,252,626,764,091,019,971,566,497,062,691,409,673,
286,396,460,537,962,828,554,053,889,770,572,661,852,700,776,689,465,713,792,
406,282,356,310,738,823,715,825,673,535,932,011,513,954,342,428,390,348,258,
958,394,313,763,522,715,867,207,866,783,104,112,314,307,625,278,476,628,980,
666,318,544,889,375,455,626,250,987,714,940,062,745,803,662,011,814,902,918,
688,783,412,750,082,596,716,492,840,781,052,126,199,887,308,314,419,146,342,
142,708,067,650,858,512,124,208,716,824,333,114,641,300,457,775,540,017,475,
920,758,032,181,812,559,437,837,517,731,185,723,270,717,620,513,946,728,989,
539,387,198,226,946,369,350,266,387,328,108,772,014,293,607,334,839,372,532,
110,400,321,388,770,246,426,037,819,224,966,766,643,061,577,183,723,169,441,
779,133,694,404,165,880,160,615,021,104,611,266,519,769,439,248,998,729,739,
003,351,989,365,547,460,167,399,672,538,827,705,811,241,170,323,284,700,593,
849,812,391,272,892,760,665,382,165,498,325,663,713,316,973,973,499,145,533,
415,324,768,471,437,559,181,196,451,675,829,703,629,943,552,514,497,408,375,
273,161,950,389,629,462,115,716,907,863,070,384,919,929,372,383,885,623,180,
420,070,548,039,629,295,170,939,072,288,321,529,760,196,131,853,391,606,354,
389,702,345,308,222,996,782,018,127,415,620,352,187,908,665,956,446,712,740,
903,816,379,584,267,726,489,925,765,308,416,122,121,324,195,138,120,447,750,
838,564,232,784,679,400,694,952,797,454,255,576,669,646,272,742,373,944,317,
109,060,001,883,275,374,936,375,958,383,180,465,199,570,786,662,862,883,477,
436,657,889,323,216,398,832,037,365,031,208,168,623,576,239,264,361,111,677,
944,661,684,824,369,537,296,684,592,649,039,609,557,948,598,791,066,696,126,
302,984,330,836,441,477,655,300,425,332,100,852,895,967,919,788,095,655,475,
074,957,705,165,093,990,410,361,005,055,688,530,105,342,936,228,621,011,695,
014,293,478,068,568,900,658,616,090,419,485,400,691,884,190,823,688,745,612,
323,419,027,857,299,161,339,554,629,780,547,169,393,943,921,327,468,259,683,
280,873,314,728,674,336,126,252,378,250,375,551,140,716,156,369,703,262,976,
687,099,380,891,052,411,469,797,111,709,550,521,527,311,409,817,286,323,458,
533,430,108,771,503,950,187,724,545,999,388,400,119,349,706,692,903,653,265,
206,010,946,460,643,173,197,720,587,370,680,941,850,988,033,863,056,374,571,
215,844,080,428,606,345,740,170,267,684,625,352,553,141,715,521,023,122,372,
378,983,998,877,710,461,665,025,781,551,231,683,255,591,929,900,027,955,350,
343,866,417,261,440,503,505,774,214,370,588,413,548,264,387,272,164,164,682,
995,337,750,017,900,965,179,023,825,832,187,982,640,557,190,373,166,549,164,
891,336,111,178,802,396,672,053,350,532,016,756,271,718,402,917,603,643,712,
677,808,514,227,329,141,226,408,809,968,484,439,486,554,708,919,529,015,671,
932,330,313,191,501,525,484,939,604,282,300,866,315,323,945,313,506,953,854,
785,707,868,418,540,954,799,641,655,044,171,847,215,151,082,827,733,054,565,
011,865,531,760,539,963,973,842,599,664,018,404,988,611,508,053,060,601,653,
239,879,992,312,944,969,100,396,408,487,840,262,977,294,350,954,190,293,662,
534,711,476,492,462,082,422,190,879,573,947,438,817,758,293,445,286,678,870,
860,584,486,855,475,724,342,425,110,639,173,194,011,702,078,621,749,216,458,
861,309,994,579,627,193,569,441,050,370,201,971,343,980,127,602,491,748,490,
369,002,960,008,606,759,872,134,988,582,299,146,618,209,372,326,964,390,337,
563,642,035,178,192,701,060,670,845,569,045,848,447,547,631,350,873,683,425,
797,596,801,908,042,135,666,456,565,484,864,922,277,441,298,414,196,124,366,
573,441,215,049,339,559,830,455,704,591,505,867,541,194,085,987,914,987,721,
652,310,754,903,389,492,463,083,072,300,063,743,645,551,435,835,207,709,793,
251,614,116,784,256,986,998,182,598,087,076,371,578,786,697,497,721,204,320,
548,354,087,720,875,001,853,724,253,873,668,513,709,034,128,722,833,310,074,
328,496,446,631,909,020,097,566,579,192,935,632,345,834,507,400,336,533,858,
708,193,254,832,169,805,159,640,613,149,144,106,956,320,591,230,949,643,849,
337,191,046,830,628,634,858,407,224,469,296,787,467,387,055,367,218,728,661,
271,757,780,595,408,474,870,698,444,391,851,027,030,683,912,305,632,931,470,
708,351,040,675,992,202,827,573,337,264,866,492,982,931,627,055,605,561,555,
638,060,910,525,136,888,252,873,774,289,065,534,172,026,870,191,578,830,479,
029,576,233,162,932,570,896,308,405,352,595,342,170,110,257,012,816,031,183,
903,934,162,802,334,891,312,754,797,347,142,951,884,798,658,377,158,163,724,
086,041,525,895,979,482,722,919,737,645,299,359,646,453,257,575,749,582,268,
991,605,408,962,402,817,441,314,821,274,030,516,576,083,334,006,964,295,748,
778,099,083,761,984,080,192,602,114,913,750,795,014,365,854,114,227,040,064,
449,899,194,701,355,426,715,400,066,694,860,056,915,666,238,349,707,448,993,
800,139,186,405,613,323,918,158,428,097,046,489,067,433,073,871,279,401,639,
046,163,885,872,735,003,880,375,577,538,847,056,895,011,084,583,616,345,954,
029,854,893,262,361,312,402,295,756,162,069,278,108,148,252,168,301,255,009,
125,776,879,331,573,523,957,958,960,468,598,719,115,558,815,550,223,889,374,
902,770,617,507,566,116,203,962,081,147,070,746,684,669,566,786,110,958,876,
481,593,690,147,775,593,338,864,922,714,605,847,541,944,660,448,124,086,898,
907,096,461,732,005,175,264,297,446,135,750,840,753,044,703,333,003,590,401,
160,290,330,336,649,249,910,010,356,617,396,430,032,392,748,334,292,602,643,
918,595,109,064,375,055,014,688,191,076,632,237,144,179,547,398,408,996,746,
175,282,737,696,798,292,620,132,920,132,347,401,750,454,714,370,471,724,944,
314,716,830,280,522,089,772,343,452,273,828,004,365,222,575,693,911,424,524,
977,536,447,075,902,272,784,992,924,686,675,771,507,411,414,177,468,198,298,
789,023,331,231,132,664,122,107,296,880,822,479,430,969,428,591,938,694,068,
924,770,332,517,087,313,497,718,124,935,869,261,699,900,694,398,000,701,861,
768,331,839,476,181,980,060,673,601,906,714,775,293,675,990,141,983,271,611,
875,525,607,984,456,297,037,008,254,687,181,679,540,660,944,470,767,396,729,
472,827,851,906,781,669,814,239,046,140,070,630,080,615,867,962,091,984,368,
959,887,513,139,054,095,207,679,104,902,500,176,512,525,732,494,175,915,213,
445,447,277,768,759,862,734,002,727,172,869,564,656,966,165,497,078,398,546,
731,244,451,485,864,255,569,094,043,041,748,766,669,538,565,221,709,898,296,
758,824,996,627,520,834,667,221,230,094,777,794,704,078,703,737,879,307,973,
164,326,750,477,465,691,741,117,713,402,951,246,234,543,398,694,814,320,739,
949,959,637,318,786,713,696,191,210,956,348,085,356,814,364,301,595,061,949,
407,025,773,634,921,998,663,526,530,973,454,269,804,415,521,513,876,519,048,
774,682,953,281,615,564,467,875,441,373,193,304,557,461,458,747,059,867,010,
549,642,811,370,293,993,199,176,760,926,367,273,687,153,469,134,347,173,406,
132,062,731,823,994,854,374,668,361,641,739,635,348,617,188,042,528,867,868,
852,080,210,416,794,154,930,748,891,318,881,637,106,311,833,824,327,461,210,
139,376,183,418,837,330,943,648,744,920,159,296,146,269,542,565,477,776,990,
778,501,235,293,086,103,134,309,035,003,699,982,755,717,525,787,651,641,122,
226,011,256,935,191,555,111,433,945,948,448,183,087,824,055,215,352,287,315,
596,389,269,120,237,318,037,172,190,296,013,007,178,026,192,355,407,168,697,
847,550,145,558,018,533,646,730,829,781,292,752,420,298,202,681,932,379,941,
609,395,740,809,760,362,441,580,640,362,602,668,555,331,196,737,592,775,175,
875,737,721,798,338,475,922,221,385,939,976,393,550,393,064,659,707,688,781,
849,006,836,751,993,122,966,679,710,411,443,721,541,166,543,164,883,451,284,
522,758,458,564,932,915,622,539,115,755,725,908,678,723,452,302,586,342,750,
179,693,979,710,135,049,399,854,525,795,533,745,809,729,978,728,677,577,631,
327,326,526,731,468,115,847,212,134,476,707,714,875,771,799,957,342,891,678,
365,736,296,689,588,055,926,404,595,003,571,164,229,220,789,582,554,692,572,
603,293,675,868,703,743,822,042,786,306,719,500,375,568,618,855,655,887,498,
391,036,902,306,182,113,825,511,198,238,895,914,139,542,316,966,662,060,628,
330,181,440,065,029,473,670,062,822,064,463,860,829,980,262,551,707,505,938,
107,979,466,159,897,289,906,965,177,957,879,534,696,356,859,711,199,225,494,
166,148,357,892,133,805,957,221,068,778,513,304,067,076,045,160,420,800,844,
898,127,012,150,641,675,144,218,909,686,087,736,737,475,894,550,346,853,749,
102,427,434,806,757,579,302,311,523,190,324,126,058,062,812,284,999,488,637,
946,106,742,139,452,603,319,292,190,981,820,869,874,718,755,053,502,431,579,
406,489,527,979,813,438,240,967,488,117,665,518,943,795,796,614,014,177,740,
224,377,051,402,956,157,821,262,197,128,665,224,014,289,553,844,141,216,645,
454,248,602,237,038,779,824,409,661,203,246,569,860,600,953,540,186,723,559,
438,516,651,436,733,701,676,877,026,239,748,226,879,787,640,343,944,873,722,
098,205,092,509,295,261,169,222,880,624,326,565,641,301,439,018,006,629,836,
247,469,602,982,697,381,477,423,068,083,849,670,936,432,820,270,079,630,053,
161,899,316,732,620,073,072,969,534,113,487,369,475,693,986,786,505,663,095,
847,128,589,949,535,966,070,286,328,423,335,575,175,611,005,676,758,670,154,
304,529,652,576,278,221,677,590,066,257,465,041,076,589,704,812,459,634,915,
411,805,847,398,281,756,051,796,229,124,945,720,187,517,276,820,322,672,561,
634,038,837,494,059,652,227,058,522,324,237,199,567,617,973,716,753,041,784,
370,348,457,663,445,792,549,927,118,867,893,922,609,684,303,059,449,206,143,
645,068,565,220,147,764,480,227,604,461,896,014,947,485,028,865,007,830,396,
326,892,304,356,385,645,448,592,815,078,301,229,109,313,325,216,842,097,092,
792,066,487,622,463,126,695,231,625,388,718,725,963,295,897,729,965,447,713,
686,642,405,195,175,582,314,876,854,910,254,097,076,361,278,385,953,989,285,
386,307,192,925,594,384,727,158,606,527,642,974,059,400,130,788,879,963,168,
088,849,469,095,260,764,058,669,220,043,691,864,941,668,577,182,363,465,298,
206,542,797,260,519,901,151,944,666,704,189,821,469,381,194,915,458,992,595,
202,871,784,435,509,445,484,397,606,325,109,090,853,059,135,137,224,838,007,
945,966,888,291,332,159,358,156,884,527,597,738,190,281,510,267,180,849,011,
647,365,598,369,234,701,689,587,160,114,111,473,463,176,098,152,493,430,397,
862,156,325,221,070,617,984,350,226,839,331,400,642,047,658,844,549,333,791,
520,740,814,245,713,025,616,519,121,859,630,449,979,312,753,364,680,358,917,
297,555,738,299,734,847,329,993,499,158,379,410,735,303,278,827,550,127,296,
713,722,289,256,282,934,062,126,029,415,853,736,629,824,409,241,480,223,247,
207,503,655,455,161,339,405,915,240,263,811,262,479,095,372,109,834,160,178,
362,481,902,270,718,621,011,887,469,817,968,236,809,930,997,584,034,611,374,
042,179,435,093,507,664,076,101,909,639,890,007,701,721,135,527,762,656,168,
069,397,946,361,026,465,706,529,395,555,064,628,034,691,838,341,439,348,713,
773,425,391,064,237,975,326,015,171,895,242,400,978,766,562,628,992,885,386,
659,813,976,247,341,211,808,032,903,622,056,509,224,355,461,471,013,512,732,
753,727,140,954,436,250,024,389,308,979,115,093,098,189,362,203,598,740,794,
225,894,533,806,775,370,206,327,258,483,398,955,967,294,947,928,225,114,509,
692,763,107,599,963,899,387,471,337,997,904,207,693,893,235,648,773,602,242,
965,413,472,268,599,502,200,248,579,219,931,560,876,960,770,628,018,620,778,
812,866,069,051,902,326,192,604,639,680,715,241,607,310,569,914,485,167,922,
977,836,802,951,398,245,529,499,976,435,376,523,816,709,185,466,095,513,708,
518,856,235,594,484,939,753,713,980,095,191,946,936,661,730,129,822,899,220,
239,569,226,734,968,764,183,747,004,431,999,449,396,458,715,073,091,754,858,
384,760,477,054,715,698,614,722,627,355,615,995,677,683,225,454,808,095,940,
595,907,598,843,011,458,903,784,144,307,258,791,935,771,330,953,888,081,246,
829,587,586,760,296,915,400,125,278,294,842,392,103,932,264,845,155,864,708,
168,767,581,985,655,978,069,218,895,128,717,153,257,925,126,636,042,830,255,
088,746,720,921,729,093,033,287,610,827,377,867,706,314,765,004,495,966,522,
821,671,032,782,996,380,940,438,750,753,032,097,488,766,249,803,416,043,960,
941,588,015,215,715,850,715,239,681,372,305,859,525,159,452,179,873,032,937,
926,421,415,609,677,805,224,140,415,603,921,354,758,205,676,436,084,331,106,
329,411,189,746,933,089,689,907,460,567,339,826,849,614,287,107,934,323,273,
104,871,103,274,896,884,173,015,608,245,585,148,448,705,426,577,897,571,624,
598,280,546,275,588,641,624,629,581,777,526,786,960,063,960,149,095,184,818,
275,316,136,173,076,279,572,295,243,692,547,452,803,581,973,607,736,101,835,
597,229,623,637,538,464,525,112,544,577,454,526,648,782,502,089,091,704,060,
869,524,003,909,623,278,897,791,517,319,851,138,573,751,639,528,040,194,868,
265,828,557,441,338,839,445,273,798,226,488,321,713,738,158,975,931,364,906,
909,866,549,713,193,965,562,891,926,659,963,843,085,560,517,378,954,870,836,
552,148,123,531,114,589,955,383,993,431,684,575,487,814,365,546,514,335,436,
859,316,766,855,652,165,984,593,620,026,815,088,518,480,747,270,037,274,055,
252,575,621,636,261,626,279,374,025,030,009,406,416,961,811,281,499,754,593,
109,752,334,606,634,402,308,777,670,514,321,552,772,400,069,932,913,430,993,
919,434,206,336,453,155,862,593,544,543,508,492,753,248,976,675,643,188,962,
406,457,562,030,283,982,256,305,229,826,848,217,975,416,972,830,727,541,398,
239,893,964,772,209,025,656,212,928,839,719,495,551,186,138,043,570,261,431,
067,251,006,564,084,923,110,323,143,879,929,761,060,520,526,242,518,300,236,
650,971,178,823,105,048,407,130,664,750,424,297,947,803,319,967,554,148,929,
786,895,378,102,875,605,783,996,601,416,829,023,111,921,202,775,112,113,677,
645,705,834,860,123,620,693,380,509,820,079,478,981,998,678,304,180,474,838,
866,755,447,236,634,307,308,982,005,737,429,853,427,665,495,235,900,519,863,
187,155,235,168,269,514,886,408,741,856,846,269,691,343,574,710,847,846,160,
960,430,563,336,286,459,403,715,995,092,630,738,152,351,505,571,815,401,814,
878,613,802,474,075,696,550,120,347,053,573,509,497,475,449,783,807,133,063,
570,010,057,120,556,622,732,023,891,314,292,372,840,533,909,539,527,003,864,
875,030,290,602,237,593,830,210,487,576,492,699,173,779,850,181,089,986,132,
246,817,074,459,421,100,312,153,270,425,946,867,452,319,827,854,249,177,916,
482,002,517,777,615,678,150,220,051,713,091,260,323,014,576,269,717,810,417,
292,760,959,966,392,395,177,337,626,461,615,474,024,379,467,296,645,359,456,
281,313,258,162,179,085,543,892,035,285,035,963,589,126,764,634,274,743,298,
361,829,099,396,200,403,450,406,104,229,300,372,895,883,323,350,281,225,762,
140,094,994,899,388,643,270,900,571,589,906,127,101,780,687,630,108,525,277,
928,209,458,712,143,018,104,872,694,241,769,182,126,540,691,420,230,512,858,
706,805,778,640,549,056,168,907,525,211,990,167,085,328,617,429,029,391,775,
386,524,600,078,353,931,762,984,552,466,914,205,434,185,944,148,243,572,780,
684,932,329,379,040,300,498,834,556,676,777,834,012,341,089,487,433,856,001,
215,385,344,357,261,520,908,584,432,112,182,457,819,006,905,810,661,037,529,
068,007,311,756,061,445,299,260,073,054,267,224,134,005,844,243,296,445,725,
316,945,373,896,921,343,834,325,112,539,455,719,100,018,916,745,913,953,610,
768,099,030,647,786,103,441,609,813,712,434,565,983,140,482,033,577,076,451,
708,508,373,943,189,899,606,764,990,497,544,048,559,295,430,541,528,950,492,
608,029,081,743,823,176,992,771,511,004,385,635,921,465,761,523,370,778,748,
024,605,452,687,512,028,496,494,379,587,867,483,154,100,082,121,892,889,227,
568,968,083,148,980,799,098,452,687,608,785,740,519,245,135,211,042,308,958,
455,312,249,997,878,400,155,270,664,514,045,006,999,983,063,499,538,230,090,
539,406,754,893,142,260,349,835,068,811,208,904,949,500,782,790,440,475,492,
749,716,942,968,940,734,102,296,529,088,477,067,692,852,229,798,951,741,377,
027,532,861,424,303,482,890,141,702,538,209,803,195,928,767,443,556,931,685,
724,746,901,828,993,116,148,356,597,842,572,871,035,053,711,081,372,094,325,
693,301,063,218,742,446,380,995,931,125,626,612,686,081,255,593,417,550,990,
254,153,077,515,544,554,568,362,123,773,027,660,852,735,331,041,559,755,078,
544,757,205,506,372,946,076,742,934,295,457,007,229,619,093,968,477,983,602,
895,391,207,055,374,395,126,964,945,137,223,321,078,800,167,364,206,022,037,
416,885,805,685,299,364,281,803,004,539,658,589,837,982,353,732,993,073,930,
788,393,579,565,792,226,923,942,719,400,124,637,714,254,451,216,950,681,118,
199,419,275,724,141,463,073,154,807,560,407,544,312,698,133,342,848,289,958,
971,270,306,664,268,490,398,779,187,473,357,556,085,251,557,644,655,562,788,
976,303,036,362,931,579,098,615,415,343,527,161,679,928,858,636,104,722,821,
334,865,572,332,790,695,145,496,300,605,225,752,757,239,248,408,934,578,889,
981,825,921,357,738,564,499,660,584,533,197,291,770,331,458,109,589,010,758,
864,650,392,136,800,663,547,690,729,055,483,453,138,898,662,363,545,456,721,
379,229,177,047,151,766,965,639,769,658,458,200,857,400,211,616,277,577,551,
844,385,872,301,318,152,755,254,991,534,439,441,233,237,415,611,382,454,508,
310,280,036,545,900,396,671,205,571,350,869,899,496,788,626,919,860,331,228,
772,247,897,257,830,141,931,118,816,437,622,602,254,599,006,223,479,573,544,
363,499,250,721,230,246,580,166,459,454,171,489,601,685,888,153,351,017,504,
749,326,533,199,787,538,201,760,360,057,143,483,404,548,172,105,625,913,740,
869,214,050,874,815,000,366,644,435,272,569,897,488,449,118,730,742,759,597,
786,863,313,154,475,196,166,882,199,871,917,194,829,343,121,999,983,983,499,
112,736,896,755,357,308,357,186,734,979,400,136,996,826,620,492,201,853,597,
950,970,499,133,118,785,279,257,484,332,640,763,298,962,358,571,311,052,780,
183,518,293,230,649,572,251,578,252,449,937,529,644,110,278,263,915,602,197,
368,787,877,699,221,137,471,420,436,646,624,906,297,688,563,890,517,698,804,
309,376,513,426,278,494,232,380,459,162,245,201,472,920,684,351,321,504,783,
808,594,260,443,169,985,251,770,617,589,618,701,200,230,320,217,473,615,005,
449,449,520,212,159,756,324,991,379,157,327,799,330,159,545,574,372,208,092,
414,511,065,632,943,445,197,239,539,190,178,028,692,777,600,908,550,248,353,
953,702,491,926,896,713,538,688,496,794,116,483,229,824,231,106,846,658,131,
845,895,105,978,947,661,651,340,258,631,939,671,584,446,880,668,389,437,199,
098,413,845,857,761,962,713,997,453,507,301,514,457,166,569,929,198,923,670,
030,898,207,396,673,731,316,462,725,008,219,501,254,370,357,304,902,559,694,
046,283,332,708,800,425,631,459,790,300,371,947,817,954,206,872,763,414,456,
293,177,542,649,106,882,214,078,587,832,357,220,262,418,202,189,283,293,440,
590,997,375,373,388,037,051,440,051,964,220,956,392,101,125,711,329,018,319,
646,944,061,177,445,562,819,730,265,440,791,191,756,223,865,215,329,486,381,
789,540,934,339,699,707,142,724,096,460,116,971,075,566,049,059,942,616,813,
189,086,804,022,214,006,091,777,513,269,697,890,587,941,581,585,479,679,369,
995,342,047,745,632,514,246,881,093,258,358,290,378,394,146,744,391,745,498,
749,958,326,157,612,300,274,381,844,379,354,512,718,421,627,997,151,941,067,
599,489,720,774,601,910,783,569,479,226,461,180,542,502,818,357,075,198,711,
898,178,868,851,346,224,741,725,745,519,126,318,219,800,114,626,816,356,308,
405,867,876,424,498,831,605,269,720,094,193,785,463,250,803,411,094,986,101,
347,274,453,811,871,951,393,454,598,706,232,547,186,902,688,314,341,373,157,
623,473,369,242,069,747,413,359,549,919,932,793,117,245,191,239,839,415,545,
742,403,486,679,670,455,139,306,784,429,931,530,888,111,584,896,419,029,158,
686,725,771,764,091,970,546,880,835,879,132,192,364,268,088,081,637,352,002,
766,953,694,901,887,329,370,312,996,915,329,215,781,610,042,461,992,252,783,
851,169,569,077,480,308,210,020,039,180,724,886,663,927,242,579,096,534,293,
613,268,505,448,348,994,362,820,982,693,327,469,988,509,317,879,783,250,778,
045,070,869,637,843,005,313,766,870,674,224,627,212,452,954,516,072,713,881,
572,648,006,416,323,509,830,957,595,138,730,255,995,142,057,043,622,798,698,
039,641,220,735,476,706,694,110,071,799,581,093,990,950,439,393,316,715,032,
558,396,870,144,795,959,409,869,026,311,070,319,653,133,989,556,652,698,806,
944,966,544,468,466,406,207,764,676,321,580,249,089,455,488,939,177,315,455,
034,284,086,333,046,635,462,084,124,843,776,240,501,801,132,320,512,923,440,
265,037,187,053,311,784,693,785,863,660,300,051,128,099,207,819,618,020,044,
677,883,078,977,236,390,192,538,883,620,105,743,056,975,150,659,155,238,644,
405,025,405,254,006,315,001,695,368,520,495,602,287,427,721,422,139,053,075,
026,966,934,758,867,577,993,023,692,060,291,520,104,075,147,712,476,872,941,
568,729,776,563,434,679,885,384,241,728,860,679,112,481,161,753,993,425,908,
894,941,899,474,390,181,790,498,692,286,677,308,685,298,288,973,919,872,805,
497,534,163,748,645,724,831,751,427,572,033,921,167,734,875,712,145,486,946,
082,505,205,519,816,750,533,830,732,611,248,438,234,863,033,050,352,797,598,
714,072,887,368,065,822,174,403,474,855,723,150,466,726,858,154,697,645,244,
679,433,170,584,330,008,322,052,383,833,993,192,370,886,158,777,018,556,683,
549,774,599,782,823,675,208,769,697,792,547,045,006,986,659,652,872,519,163,
561,146,408,967,347,147,618,018,822,746,774,945,237,774,527,659,702,793,155,
976,929,730,067,167,589,915,156,349,896,152,866,172,237,255,378,929,075,948,
338,001,267,097,923,290,747,135,164,454,861,696,072,997,544,939,494,405,129,
961,738,490,505,442,608,345,397,669,926,620,247,026,193,580,815,678,369,245,
782,799,672,734,353,824,573,471,621,222,857,108,319,170,143,708,238,230,133,
277,888,661,898,063,053,211,973,998,470,531,478,931,108,286,259,171,978,224,
775,090,125,452,728,827,483,594,902,956,649,673,638,468,020,257,377,160,377,
863,916,802,531,077,748,473,152,355,030,656,276,297,708,205,899,411,880,042,
063,446,316,752,908,268,494,317,213,147,137,374,857,932,132,141,130,306,619,
393,781,978,442,600,555,072,064,465,771,191,352,825,568,590,106,239,281,295,
488,942,312,550,549,167,752,175,731,108,052,715,462,325,511,777,077,470,767,
777,259,306,166,845,849,003,747,955,804,399,083,625,437,351,328,524,416,870,
393,663,293,009,629,665,345,283,504,745,347,076,520,862,239,704,455,799,880,
292,806,356,168,762,973,940,359,389,632,099,441,692,275,160,889,050,823,040,
603,087,572,760,860,887,450,260,852,509,513,797,800,504,519,726,807,661,835,
630,309,733,984,759,257,380,129,973,234,808,531,951,311,744,219,349,985,662,
174,038,071,345,127,627,815,696,996,548,675,166,779,521,514,027,958,563,854,
265,568,229,561,862,908,866,523,053,507,902,119,768,023,413,665,116,621,921,
106,693,585,174,849,067,461,555,937,085,684,215,450,772,092,671,190,291,219,
633,814,734,031,253,195,964,480,610,433,499,523,281,072,548,006,813,869,565,
237,872,643,443,735,251,676,547,504,925,500,169,432,430,437,596,661,006,293,
536,349,053,395,256,396,940,492,078,361,820,989,719,845,331,631,400,587,676,
727,336,924,859,442,092,877,717,964,970,381,600,837,101,561,978,751,538,184,
273,547,850,862,806,610,425,433,500,495,779,494,713,965,028,859,048,598,902,
620,397,674,131,036,120,980,929,895,752,604,095,970,355,543,483,530,161,632,
881,971,518,771,799,173,353,420,625,821,005,907,775,817,614,149,222,091,076,
588,080,719,780,967,735,073,803,682,251,976,685,509,687,739,781,463,217,393,
258,502,173,011,076,515,285,409,658,684,406,554,082,550,334,360,893,985,286,
533,854,159,766,294,103,240,124,259,293,660,577,180,730,151,151,831,592,141,
679,954,981,657,732,708,868,556,290,285,036,342,850,492,804,744,959,155,627,
753,317,642,374,360,458,313,808,286,844,028,164,147,366,790,897,475,874,156,
487,372,129,060,529,284,517,244,496,187,285,509,484,943,061,408,715,166,888,
647,177,468,445,173,669,040,856,686,296,559,928,014,971,447,898,953,529,559,
427,978,801,815,726,696,947,291,565,076,029,452,044,021,601,405,448,915,965,
254,250,031,032,240,514,086,472,158,807,971,917,717,796,308,953,035,101,225,
364,230,155,080,406,773,188,868,114,674,237,774,982,113,118,869,976,113,008,
065,851,359,866,712,436,381,574,591,666,390,119,242,921,351,985,862,487,262,
831,285,857,901,778,597,037,787,056,840,238,779,829,016,533,137,288,257,667,
038,342,627,572,936,885,945,415,329,010,307,973,635,459,246,347,531,864,308,
198,819,416,987,832,575,734,080,720,801,142,148,215,387,166,663,547,519,354,
291,093,405,838,698,894,458,097,206,616,483,852,375,584,302,322,283,805,588,
375,182,063,082,592,232,105,299,504,564,439,852,248,596,610,357,406,408,042,
875,318,092,835,864,664,974,947,370,348,961,683,691,179,491,791,716,657,262,
827,220,973,366,335,958,485,066,680,155,897,405,416,362,696,839,542,988,966,
190,428,443,191,127,813,749,066,087,433,531,317,358,202,377,449,308,063,659,
593,176,037,457,261,679,383,431,582,103,534,419,022,562,004,447,581,049,114,
930,678,862,238,826,648,903,179,871,206,272,298,934,173,305,334,663,302,011,
869,066,274,184,989,504,231,100,466,017,138,837,687,825,684,283,513,019,423,
099,572,207,690,943,288,521,752,748,251,192,678,525,942,109,571,366,946,134,
248,234,295,692,350,234,461,093,200,736,538,733,057,051,775,006,366,382,546,
959,350,330,493,567,900,099,660,338,798,185,331,574,069,715,621,240,026,133,
685,461,263,960,806,335,061,608,115,862,564,094,512,559,047,468,368,324,535,
641,274,486,859,606,299,116,670,089,029,203,501,103,962,799,190,689,585,465,
482,143,333,683,055,634,204,746,273,263,921,828,428,274,389,688,007,064,432,
736,415,632,864,400,298,475,796,966,781,702,456,496,019,383,415,126,067,071,
523,437,539,867,968,965,472,303,266,564,345,170,893,360,118,555,309,545,586,
410,534,614,991,901,320,751,999,329,401,048,881,225,104,331,272,228,848,390,
194,158,757,497,449,888,966,998,334,347,460,381,722,545,127,152,657,443,355,
665,267,554,117,339,832,071,126,817,761,037,836,938,961,849,531,955,584,619,
064,318,213,857,306,142,587,128,369,338,867,099,804,887,906,348,856,357,212,
288,608,153,972,565,088,398,184,718,055,790,524,832,351,258,593,395,915,402,
548,783,197,086,393,713,434,770,818,633,634,469,864,748,424,137,112,893,104,
426,989,915,270,670,300,441,389,700,620,887,755,948,750,446,862,144,202,841,
101,050,695,469,025,821,447,036,191,635,883,282,868,482,436,450,597,552,308,
090,320,061,512,295,264,803,795,510,015,607,320,667,037,426,241,173,486,761,
470,186,026,630,916,672,334,108,408,497,140,413,521,124,052,044,106,085,141,
697,405,344,656,310,722,333,525,639,651,087,763,121,944,087,019,034,234,365,
248,375,002,018,421,917,513,530,979,180,656,952,483,025,440,544,372,789,442,
956,673,174,622,011,557,009,040,055,559,208,062,275,277,255,794,557,149,219,
152,633,847,561,308,708,491,683,578,149,392,327,099,438,086,225,945,480,732,
075,165,369,774,483,154,684,296,746,484,649,641,734,823,711,527,021,344,137,
948,350,259,601,425,480,537,005,000,333,687,313,811,978,017,820,966,939,501,
715,308,203,022,460,263,614,180,520,325,924,990,178,497,337,779,593,673,847,
323,051,028,594,240,447,625,174,076,452,771,965,487,076,212,192,217,563,065,
746,852,337,298,663,006,581,361,841,339,151,894,742,305,242,640,685,463,747,
161,529,957,268,441,922,187,244,217,734,697,230,090,621,118,117,612,726,958,
890,597,487,406,984,157,173,599,925,326,607,436,330,588,415,861,712,438,876,
194,867,928,137,900,922,443,851,241,140,507,168,026,196,778,203,388,828,816,
021,288,796,790,995,647,814,690,274,962,925,045,329,096,265,965,644,260,004,
121,329,634,147,254,668,889,219,016,291,071,027,531,544,794,681,036,709,912,
594,635,659,247,342,687,552,195,957,723,114,797,320,154,106,756,885,295,657,
420,104,758,884,716,533,265,325,598,767,557,357,468,447,404,652,743,457,820,
989,847,627,285,809,933,411,441,910,585,754,670,033,492,179,583,240,275,431,
700,738,016,360,436,977,793,194,775,531,640,738,305,409,361,890,223,412,950,
547,568,698,787,101,960,906,365,716,799,308,485,882,546,001,533,702,501,605,
986,487,404,607,576,387,893,180,837,420,902,884,721,166,736,892,928,081,007,
982,275,004,535,154,675,709,603,940,579,342,710,219,592,675,231,737,551,404,
112,499,297,889,400,979,223,531,739,606,599,126,014,193,444,362,328,728,901,
467,150,291,920,616,520,962,900,198,174,862,817,679,050,008,434,255,925,256,
570,861,686,315,092,932,896,024,177,612,850,972,171,140,208,934,340,702,185,
067,599,429,597,799,021,373,191,712,174,953,637,611,078,468,788,232,971,898,
898,275,666,333,554,008,740,302,988,469,201,065,892,723,506,074,960,482,988,
353,562,318,378,005,265,020,759,095,634,216,738,117,058,298,677,839,652,416,
771,651,909,332,470,720,725,427,221,881,559,091,459,629,606,660,217,112,761,
916,827,005,362,894,809,253,206,289,505,029,782,460,793,193,327,062,296,269,
246,607,423,091,326,795,686,522,843,804,449,835,592,401,616,389,168,773,199,
578,782,850,902,629,498,109,387,592,639,997,840,687,485,876,363,588,585,437,
922,014,127,516,576,855,072,013,120,136,396,965,099,853,009,005,747,530,166,
834,085,522,234,696,671,980,787,943,794,532,569,078,709,804,839,372,185,921,
555,937,040,595,411,415,248,078,466,358,122,142,562,387,048,178,663,558,230,
067,884,881,763,654,884,437,415,872,086,109,189,233,816,701,316,157,864,054,
471,996,747,018,085,207,736,118,769,642,541,406,693,852,738,959,130,463,478,
773,977,174,410,650,309,575,005,164,362,249,997,067,039,973,683,824,853,570,
514,476,993,222,204,983,068,134,258,902,709,473,966,333,322,614,199,153,746,
992,439,779,481,978,131,815,444,572,883,159,052,653,851,288,085,407,757,794,
506,185,997,758,824,766,945,649,627,844,385,705,213,524,424,405,316,217,969,
788,844,703,117,652,470,113,403,238,491,494,933,046,400,086,325,832,794,045,
713,165,034,076,139,536,435,931,546,933,321,373,583,549,356,745,866,710,781,
695,753,609,452,770,543,418,724,398,167,702,688,656,468,699,968,986,814,578,
502,490,287,005,826,886,316,048,953,549,384,749,664,873,827,658,575,345,981,
338,804,298,147,662,966,659,294,982,675,225,189,262,155,940,068,562,137,595,
037,294,461,691,501,652,773,920,838,208,329,517,847,222,475,319,938,667,660,
292,843,752,236,287,292,046,312,501,918,112,034,612,110,482,520,341,163,367,
579,512,650,207,918,398,097,337,806,284,427,588,277,461,412,219,500,116,281,
673,382,247,217,940,343,956,271,675,155,016,862,186,814,217,806,855,438,345,
867,501,911,208,298,973,317,346,025,365,603,109,641,859,453,135,302,617,596,
669,775,647,388,401,531,094,346,449,804,177,604,286,409,620,719,523,026,741,
283,362,152,366,501,789,491,540,031,103,642,675,558,466,577,579,091,582,388,
509,449,534,089,849,207,397,590,648,974,233,760,336,780,037,921,222,040,594,
422,285,571,218,754,963,398,708,715,629,438,133,451,987,499,617,220,907,758,
341,569,386,111,950,677,022,937,561,998,010,554,913,778,930,330,605,406,349,
751,305,764,603,583,228,946,342,493,296,963,252,972,168,274,175,311,766,732,
311,749,429,821,377,480,286,590,900,245,043,364,352,671,020,951,639,529,620,
670,308,025,270,176,110,577,165,414,486,536,591,934,981,462,037,536,012,819,
979,062,957,949,656,212,959,566,927,436,548,364,005,216,074,521,832,893,115,
027,654,059,411,266,533,070,755,897,797,259,807,756,650,074,670,799,219,931,
780,777,781,387,663,648,749,115,818,323,338,421,429,491,686,920,505,988,912,
340,304,875,095,742,113,891,682,607,043,916,288,508,112,318,353,918,489,032,
698,995,595,128,913,202,247,509,276,960,415,325,312,005,156,258,745,621,735,
361,780,095,143,298,548,036,578,655,128,732,676,643,857,289,674,387,926,104,
648,378,972,718,571,220,605,484,098,685,781,364,462,050,044,726,766,599,948,
456,979,436,325,208,349,195,274,706,082,195,129,952,905,878,116,083,519,620,
940,058,128,187,739,174,797,826,131,479,201,196,756,017,111,859,271,671,692,
548,862,573,018,767,170,890,270,114,089,553,499,588,081,453,044,086,894,805,
675,849,919,703,747,749,800,686,347,058,452,787,918,165,903,826,762,975,819,
138,885,467,785,828,611,034,507,710,208,867,066,225,922,209,515,209,230,029,
438,834,321,416,905,908,901,184,846,659,430,177,686,805,097,237,962,219,829,
099,897,130,798,359,045,309,808,967,335,921,413,912,528,320,172,862,309,241,
623,025,664,623,902,536,155,183,023,376,345,749,520,779,770,959,260,352,896,
835,292,785,338,958,113,735,927,691,091,798,662,187,838,994,884,808,872,477,
867,488,416,297,824,839,515,415,317,758,395,347,333,570,611,858,109,239,284,
465,142,134,790,484,446,919,037,404,068,127,649,142,261,013,851,564,109,959,
881,453,383,489,510,476,093,066,748,165,614,916,182,229,399,621,720,753,378,
343,232,736,575,697,939,025,936,135,035,929,870,831,617,647,648,035,706,389,
214,210,588,774,420,506,140,728,882,187,854,885,936,985,605,300,155,417,228,
386,824,297,144,234,016,842,033,541,072,389,445,457,496,945,447,123,310,031,
416,096,326,693,905,268,233,148,558,293,381,852,149,786,383,271,666,959,739,
566,040,366,395,025,690,799,369,980,671,042,038,641,890,291,558,853,984,519,
149,570,096,136,556,740,732,967,732,425,490,009,404,475,661,605,383,948,609,
354,358,690,581,648,032,201,557,524,488,903,388,448,520,416,275,249,854,673,
256,073,060,746,422,558,206,466,506,192,507,121,792,685,789,281,725,395,454,
822,704,541,202,448,943,197,436,278,563,620,891,069,187,831,336,560,510,646,
057,421,267,450,052,196,111,938,828,420,951,537,361,032,739,738,195,074,136,
425,001,476,723,562,370,353,786,842,097,245,955,124,908,946,102,547,416,127,
519,130,367,673,897,093,986,146,211,008,417,763,021,422,067,972,417,817,261,
802,464,090,154,735,448,358,398,191,677,219,706,437,678,712,777,052,355,447,
052,507,005,963,435,802,952,865,389,614,120,419,520,012,748,743,587,286,534,
751,538,910,519,600,030,814,309,794,360,214,081,436,078,032,518,757,060,484,
847,704,507,354,874,969,418,460,490,904,713,914,779,523,228,842,535,647,622,
542,920,173,443,735,891,073,271,828,304,509,483,630,625,356,409,903,359,152,
283,640,348,305,879,994,185,657,969,889,240,605,738,513,527,632,304,599,355,
296,938,119,087,970,623,946,477,729,870,708,071,928,354,900,843,257,130,772,
895,964,609,057,505,926,090,160,273,008,319,431,154,216,704,369,832,650,607,
121,815,943,868,735,913,609,617,962,579,494,506,390,189,996,865,427,316,604,
457,080,837,478,959,246,289,278,465,539,382,130,822,738,789,556,655,087,387,
948,210,772,490,427,032,146,558,569,234,623,043,084,611,134,822,312,089,434,
702,870,184,401,809,886,024,747,375,881,337,211,180,766,063,457,988,212,901,
902,802,801,424,430,107,533,510,867,642,343,821,560,685,511,613,484,042,009,
286,841,013,835,438,967,027,270,589,411,854,459,563,041,210,011,573,913,396,
279,604,170,463,689,951,929,360,490,985,296,365,050,633,518,856,945,953,175,
133,772,689,819,856,481,622,607,503,827,111,459,470,094,074,195,724,163,105,
953,027,237,051,368,941,486,960,856,192,389,824,941,318,722,741,404,791,464,
968,415,423,852,422,429,788,444,077,280,781,861,258,531,543,227,159,279,179,
858,879,844,852,209,099,307,456,980,014,571,955,238,578,334,538,417,552,857,
866,206,580,866,161,888,718,897,735,547,631,975,958,263,776,489,695,766,957,
322,385,367,067,939,548,209,263,024,938,224,235,261,194,569,023,649,106,194,
560,212,836,283,034,584,654,473,297,034,510,352,501,423,744,154,864,058,956,
693,747,509,908,853,744,257,091,001,649,246,402,542,584,112,199,303,681,035,
088,127,559,847,224,695,295,056,660,506,601,315,008,005,588,327,335,306,133,
948,614,890,791,401,150,988,921,985,644,089,458,448,183,544,289,342,204,181,
247,864,107,458,527,381,216,167,033,141,737,292,770,708,235,393,617,238,088,
201,450,100,372,866,080,603,476,846,942,689,601,913,491,000,125,120,715,841,
723,432,837,506,974,664,934,195,038,157,377,626,963,469,486,042,271,005,571,
250,072,733,130,489,031,052,366,580,190,455,021,080,281,114,107,794,049,662,
351,289,067,220,931,749,886,908,786,482,464,572,518,420,235,243,823,879,938,
522,865,290,046,199,673,017,221,844,104,738,519,950,475,675,366,037,265,490,
595,738,331,203,609,247,633,641,603,118,004,830,205,866,545,286,764,993,198,
249,359,642,403,512,070,028,062,902,432,095,905,505,434,932,025,297,780,325,
682,634,804,792,626,660,645,470,777,291,877,173,744,247,911,100,660,470,008,
423,097,479,229,252,507,890,102,241,557,609,567,284,234,658,831,329,903,772,
036,088,083,269,951,366,744,305,279,002,637,608,297,976,352,431,559,066,576,
149,034,399,752,088,758,917,870,727,692,259,681,982,468,423,801,378,429,898,
792,571,632,765,599,092,213,114,570,930,795,989,206,092,726,156,559,302,354,
130,936,753,137,132,572,735,964,448,628,072,657,686,798,517,763,543,794,607,
595,468,367,056,117,717,500,775,079,150,557,982,744,950,736,018,699,502,864,
063,148,859,512,583,783,166,454,038,034,506,614,606,000,261,080,476,477,444,
587,081,015,373,612,284,998,885,975,218,877,401,983,729,864,867,177,984,741,
758,217,740,558,392,336,870,493,756,602,146,036,984,322,237,500,448,677,634,
764,688,155,994,952,503,154,452,202,653,838,613,146,323,979,460,430,221,192,
058,710,592,151,009,838,782,403,720,635,599,119,758,084,993,538,110,500,956,
233,401,618,340,618,343,242,304,925,242,835,031,083,516,370,619,562,941,574,
840,582,854,986,483,325,111,221,614,771,921,196,808,615,945,246,214,056,774,
715,787,617,653,217,571,594,302,439,794,123,352,511,878,674,693,821,532,965,
808,578,156,743,962,378,674,064,681,493,314,436,723,757,210,363,706,306,907,
254,605,380,049,642,244,618,294,150,335,154,766,128,345,026,080,400,944,202,
349,432,054,140,595,886,544,794,441,277,264,940,897,264,934,259,100,203,164,
951,440,346,754,545,284,404,969,856,550,949,066,952,799,608,801,534,132,331,
389,736,831,422,641,669,515,678,717,121,266,954,866,440,117,158,148,044,004,
749,457,099,764,825,099,598,667,053,322,198,548,361,220,656,716,093,571,277,
335,671,582,759,417,083,852,716,494,081,253,286,983,570,114,011,661,045,295,
288,406,684,221,707,763,227,438,507,630,273,029,860,682,154,599,355,959,362,
878,134,259,754,839,911,263,421,350,749,302,790,717,999,566,578,588,745,317,
915,066,803,135,056,811,786,427,403,825,730,492,694,487,311,155,560,709,750,
655,347,564,289,226,168,411,421,897,311,744,582,577,570,527,121,303,169,144,
476,493,470,979,208,681,421,364,167,951,706,124,762,462,275,586,756,129,819,
536,599,727,043,488,241,982,999,385,524,261,704,739,818,562,246,849,888,519,
574,352,300,787,225,750,251,930,766,112,919,487,280,680,195,582,678,499,106,
778,022,726,571,056,499,936,703,585,180,040,910,076,575,509,237,073,462,394,
182,054,200,346,400,394,804,254,076,741,721,936,764,163,877,414,787,545,846,
189,704,291,395,332,386,298,702,410,921,406,980,128,374,705,353,066,470,972,
515,666,402,651,002,273,861,579,029,502,762,329,499,759,951,826,728,949,346,
154,813,343,543,386,859,335,201,426,787,410,105,583,077,602,371,543,337,744,
674,901,542,470,299,007,980,320,230,128,393,095,205,357,086,440,538,374,621,
824,867,493,246,516,584,793,084,710,546,429,845,515,739,575,322,718,595,119,
760,555,398,812,490,704,045,905,797,347,468,662,392,213,739,101,795,348,523,
232,489,263,192,035,091,964,881,339,956,005,569,714,338,232,557,498,020,473,
841,179,792,859,315,835,139,787,075,338,427,268,829,823,762,581,704,805,118,
534,741,253,942,003,688,910,694,123,950,047,606,234,382,689,033,518,488,414,
376,507,086,897,051,140,753,752,462,452,150,184,221,391,623,530,601,810,759,
981,907,407,386,683,602,572,349,577,021,643,447,137,285,987,119,097,784,592,
141,898,654,631,951,251,836,482,532,801,282,913,406,017,587,246,828,381,511,
720,286,954,644,154,324,268,320,263,114,370,903,964,419,635,698,095,810,807,
436,661,515,988,162,964,889,541,465,247,876,071,083,349,423,330,283,074,064,
709,403,921,570,763,812,592,175,892,585,689,223,507,034,685,016,152,059,817,
953,231,843,738,626,536,900,846,731,489,186,546,468,031,395,367,054,424,539,
092,511,826,901,934,764,215,770,440,205,173,221,619,319,702,565,827,626,614,
186,100,458,578,290,449,716,167,525,761,671,474,616,479,396,059,552,418,211,
580,915,590,328,486,678,892,760,249,714,379,333,692,352,844,864,189,426,255,
481,587,193,211,465,369,382,539,974,514,588,716,578,346,865,989,175,878,285,
829,904,303,703,779,526,435,916,034,220,012,573,550,345,599,195,373,871,455,
041,259,202,108,965,386,755,363,100,692,279,709,403,535,905,986,282,093,812,
950,460,475,569,791,645,846,451,056,817,703,266,718,057,940,180,730,234,762,
183,681,489,250,355,780,338,890,721,091,106,768,189,290,998,062,449,895,589,
810,490,980,739,406,504,618,949,775,290,480,782,689,894,536,506,871,038,810,
656,307,273,345,637,153,415,079,232,014,711,082,269,392,542,645,480,783,072,
084,134,813,114,253,000,382,248,160,268,235,278,351,875,094,871,124,389,062,
257,195,068,166,861,455,332,651,161,526,069,610,717,123,458,421,342,918,688,
139,858,850,706,520,800,477,221,289,460,610,882,585,421,812,383,150,952,715,
968,715,347,357,907,595,670,458,774,615,567,048,787,279,759,641,394,018,070,
520,592,981,005,916,373,176,330,560,456,067,093,465,414,476,215,672,306,405,
618,892,573,844,398,509,601,480,356,026,309,276,000,390,280,865,008,149,436,
715,091,300,506,717,633,720,570,403,865,359,839,181,677,874,458,772,496,984,
757,521,092,346,230,666,512,648,437,467,444,995,042,536,545,071,437,617,031,
435,850,452,095,076,954,878,372,905,690,226,420,393,531,391,568,090,367,715,
752,997,642,630,192,578,316,434,335,088,988,692,743,948,907,502,488,997,810,
501,642,113,062,019,076,424,132,931,487,708,468,682,877,201,854,286,897,625,
221,055,085,672,603,515,732,728,804,947,246,050,319,908,340,469,858,412,688,
746,592,355,069,219,033,771,309,495,184,914,327,413,601,456,325,869,763,085,
001,259,133,137,223,847,903,137,360,340,775,093,467,109,170,378,333,311,657,
889,460,769,815,297,899,659,554,690,387,772,494,868,246,710,461,959,214,350,
117,704,799,090,232,963,049,037,588,355,929,697,666,817,954,884,872,678,483,
807,013,826,998,709,630,011,584,065,602,164,839,564,673,244,415,506,788,970,
490,574,333,659,434,785,992,762,929,746,404,693,341,157,205,019,289,299,103,
357,163,153,086,446,104,410,728,850,785,843,769,164,931,020,314,278,750,992,
274,620,635,661,596,743,436,305,931,838,338,660,942,475,925,598,797,899,663,
738,413,894,995,679,579,107,352,172,113,842,923,282,950,929,535,083,342,758,
959,974,499,589,923,943,952,926,497,891,231,878,641,777,191,237,111,717,289,
152,522,341,343,381,834,848,770,829,268,062,226,975,581,863,903,041,620,670,
454,583,427,676,205,295,322,030,288,359,533,046,255,787,780,157,291,255,735,
818,115,344,623,111,467,688,395,686,077,953,905,103,264,692,170,303,189,940,
636,347,139,405,943,790,993,506,918,634,355,758,295,815,145,561,363,662,419,
487,204,495,198,094,071,658,243,410,863,500,509,947,202,830,390,495,401,630,
331,245,864,223,554,890,375,670,657,294,012,518,998,092,333,182,702,939,458,
058,496,076,381,545,898,136,690,085,128,974,042,654,965,221,914,957,429,970,
230,382,981,432,649,483,829,870,414,981,485,278,415,207,081,453,595,424,205,
076,466,397,476,482,677,825,413,894,523,816,696,184,507,860,635,216,263,986,
662,932,987,449,530,608,308,049,234,862,475,901,883,857,430,418,733,933,446,
101,624,710,994,097,798,748,125,452,195,369,565,228,786,479,084,823,808,352,
732,727,899,137,475,620,458,692,985,566,085,375,311,222,793,680,868,804,296,
132,671,715,412,094,918,893,529,336,560,578,380,766,129,994,932,604,606,408,
561,231,184,166,343,078,663,982,473,885,351,815,370,842,862,225,432,820,735,
352,167,963,306,420,578,396,366,022,153,355,615,269,913,032,879,609,871,615,
857,668,127,524,712,678,818,028,504,666,576,605,942,135,136,260,901,334,986,
294,479,601,756,981,248,892,149,498,393,779,128,132,299,111,133,054,680,772,
225,225,465,519,795,939,756,467,567,598,402,833,435,789,420,704,839,969,440,
646,180,944,433,609,540,448,113,085,420,023,050,898,095,077,926,750,057,358,
515,022,172,789,255,328,067,759,184,219,262,810,554,248,348,728,959,273,680,
283,933,103,532,216,696,138,541,653,172,671,251,937,499,847,431,484,747,793,
080,129,998,116,426,206,616,613,245,336,416,337,526,880,020,363,388,241,521,
687,628,829,458,430,718,388,084,588,572,694,212,840,879,682,404,969,435,909,
880,641,355,354,616,885,031,493,702,079,020,920,232,234,647,063,756,558,579,
867,193,013,564,197,447,555,853,023,355,802,046,605,907,418,804,025,002,254,
246,616,609,627,497,636,746,825,350,442,669,847,201,139,258,922,166,493,012,
720,149,547,299,321,191,746,060,334,696,981,270,717,959,813,078,069,692,339,
851,524,866,025,212,461,065,333,198,693,579,778,407,934,063,023,400,232,493,
182,824,367,470,021,627,345,214,558,641,492,010,299,542,340,880,108,540,194,
823,865,025,226,825,639,258,589,678,716,475,826,921,479,421,132,546,110,604,
353,519,587,251,042,509,536,391,035,569,677,136,142,714,549,769,688,153,059,
910,247,157,552,677,799,189,975,051,640,554,839,090,691,451,040,528,798,668,
190,995,230,521,954,699,841,543,353,665,047,153,335,114,354,591,005,891,241,
677,864,933,795,064,880,151,712,034,579,280,488,505,485,429,625,890,519,866,
240,914,292,130,566,885,128,983,490,811,441,912,427,567,248,123,438,345,949,
556,336,807,605,947,947,813,515,296,049,011,021,016,703,326,983,926,831,270,
346,176,623,164,318,725,237,130,922,538,213,125,896,569,073,078,552,867,486,
851,789,820,846,284,700,725,274,745,530,231,987,299,284,932,512,681,342,137,
692,770,715,116,185,560,909,161,366,899,572,949,123,740,583,672,957,965,334,
421,796,348,947,632,300,119,963,577,528,575,045,492,951,784,609,309,517,281,
053,905,014,333,043,966,082,110,821,604,290,888,756,577,193,065,971,989,218,
634,472,835,882,508,711,601,381,298,398,131,744,631,738,745,355,014,457,641,
331,905,588,653,707,788,020,195,374,200,794,773,620,030,946,788,877,691,242,
633,135,551,567,995,185,724,267,917,268,612,955,015,654,287,376,751,662,508,
097,364,374,072,048,083,095,142,130,478,990,376,562,801,874,098,936,962,794,
036,883,644,289,348,312,816,099,961,830,480,795,549,495,741,902,178,332,809,
497,249,469,163,535,645,169,061,213,281,351,986,883,360,961,124,955,880,269,
380,463,655,731,795,965,963,927,996,972,549,174,795,579,489,072,867,177,500,
177,493,747,093,387,750,425,290,860,565,121,300,989,616,154,284,903,147,417,
541,136,769,995,086,441,288,404,820,511,300,726,030,376,481,212,382,273,553,
698,254,948,413,626,911,494,735,858,014,025,927,871,104,520,282,755,352,469,
837,410,878,885,379,511,159,473,278,312,426,602,010,674,852,773,724,418,599,
276,336,183,072,646,205,634,306,219,538,577,405,142,027,453,971,140,377,178,
797,706,158,211,869,923,086,003,249,355,355,846,875,022,695,364,792,493,168,
660,320,963,359,841,026,924,550,974,819,309,787,348,191,351,137,224,577,083,
102,941,594,523,886,560,981,513,738,159,846,295,594,426,024,916,776,201,836,
855,417,296,981,797,484,097,942,925,168,293,590,373,773,165,200,766,431,129,
056,897,055,883,431,629,143,522,760,237,254,764,435,047,976,931,316,191,673,
880,260,557,165,950,707,611,827,849,104,906,178,592,125,138,831,539,151,202,
325,123,599,221,108,515,093,528,966,002,457,741,737,525,145,326,002,107,587,
734,830,860,074,889,763,332,264,368,617,323,369,890,551,051,756,730,550,015,
216,437,695,215,052,710,343,197,484,762,286,930,030,452,397,739,293,624,199,
574,158,924,891,971,078,172,467,746,656,052,935,190,464,682,459,631,772,761,
151,456,002,756,631,770,976,397,976,578,652,884,290,832,759,354,607,708,737,
323,515,576,647,470,637,589,647,741,564,386,281,303,378,830,316,181,459,957,
706,683,760,745,439,779,853,173,627,780,788,813,149,445,111,533,148,579,541,
415,545,417,977,596,423,603,170,323,330,632,711,309,282,699,728,091,300,867,
859,365,239,933,863,812,973,411,762,976,269,943,174,111,702,612,077,381,558,
622,951,638,402,996,172,460,601,033,593,274,328,070,171,585,879,224,246,196,
246,186,219,886,002,892,688,869,189,638,270,621,541,563,845,869,558,623,176,
078,028,284,460,189,600,304,993,304,307,023,522,187,856,800,078,765,355,246,
192,087,191,027,755,096,765,488,391,321,232,365,216,083,300,534,789,909,282,
581,830,867,285,894,616,695,899,227,701,893,798,461,644,091,477,388,216,097,
228,528,777,974,338,031,192,681,085,644,328,120,035,263,225,393,891,611,893,
121,761,862,659,139,439,305,628,830,483,556,182,850,351,902,231,340,667,154,
263,562,062,855,474,922,305,725,115,308,157,928,597,341,333,099,077,537,676,
465,595,273,208,556,516,284,897,803,738,156,539,055,515,632,839,539,286,158,
858,759,375,811,878,454,668,262,839,557,912,467,247,176,300,909,226,953,092,
147,614,628,069,242,177,425,714,569,390,587,845,887,002,479,069,312,214,173,
298,468,044,815,571,593,863,423,300,540,725,421,383,538,501,254,617,571,250,
459,131,040,624,777,613,693,344,668,385,283,007,524,973,349,341,122,482,093,
704,325,912,244,983,559,120,871,068,975,432,679,363,130,341,046,565,125,622,
131,463,254,403,447,348,484,667,528,204,452,852,591,847,285,026,985,702,182,
821,873,827,714,101,169,787,474,306,129,714,699,216,689,911,795,214,183,031,
948,404,002,051,534,310,044,455,038,976,059,798,317,424,115,470,882,346,835,
518,488,673,411,316,121,645,007,422,593,393,422,784,401,429,475,736,161,608,
062,011,218,306,528,048,698,227,852,974,050,564,653,709,498,781,572,223,422,
398,140,893,479,401,188,820,650,555,730,020,192,691,919,090,171,981,128,753,
089,950,498,410,799,416,151,379,627,076,411,188,085,766,054,418,687,823,548,
586,769,752,726,173,044,776,636,782,645,544,901,880,109,219,610,443,681,820,
880,327,618,530,368,816,652,852,847,193,591,442,024,897,773,405,219,711,875,
792,159,548,769,070,078,752,717,173,041,049,924,674,987,471,898,532,463,094,
660,661,022,544,831,711,091,576,080,948,802,720,648,643,368,031,310,538,944,
974,795,933,238,944,657,509,103,303,179,944,073,776,880,827,119,667,939,023,
488,330,233,652,519,044,476,379,707,477,185,369,948,440,102,627,247,545,772,
407,400,784,038,300,411,911,305,652,462,870,524,465,760,568,763,156,873,151,
989,185,743,149,413,694,383,106,899,321,567,632,039,846,326,887,362,943,950,
242,741,531,661,107,521,803,556,449,673,897,337,041,589,357,306,788,796,274,
729,958,087,604,316,663,952,263,177,237,552,323,858,978,266,137,741,570,875,
770,538,009,629,398,537,917,861,135,711,288,391,117,880,871,364,765,356,934,
470,805,710,524,232,312,262,529,160,526,868,661,751,202,828,026,227,386,951,
587,055,600,612,787,450,448,173,642,390,536,754,421,930,815,819,916,305,573,
531,703,940,840,664,290,504,382,298,151,815,288,280,001,040,907,320,034,829,
165,346,338,703,775,104,163,095,481,748,252,575,795,517,637,922,219,638,800,
804,254,898,310,536,593,609,953,722,781,834,917,670,994,168,240,930,048,305,
571,952,253,152,838,598,332,227,847,304,362,396,595,481,600,273,481,846,117,
222,065,845,073,844,552,915,059,936,091,715,965,309,262,513,774,916,929,309,
924,392,933,882,585,318,407,462,020,897,810,671,829,916,050,137,318,537,629,
755,309,869,108,199,397,862,033,670,965,736,559,270,381,634,282,200,970,471,
254,064,439,630,012,322,792,601,980,548,313,298,772,531,411,549,446,912,613,
151,503,778,853,217,285,289,479,449,974,941,327,641,327,459,846,463,764,127,
631,426,085,960,302,583,112,948,768,238,624,474,352,002,138,951,600,283,653,
827,682,877,137,202,522,553,053,521,937,863,985,192,608,716,817,677,626,852,
346,898,837,653,861,737,713,321,962,100,481,136,755,600,387,662,725,804,334,
460,815,593,664,217,640,311,525,805,606,848,224,174,055,674,012,660,827,169,
746,358,327,296,106,632,736,845,624,904,150,205,725,578,333,902,476,411,290,
727,968,210,373,379,275,143,677,222,772,840,884,760,704,235,498,558,612,129,
219,314,106,161,796,520,399,353,810,236,611,252,282,605,608,880,652,004,128,
917,418,819,713,693,287,299,726,098,161,267,241,442,522,186,016,094,858,035,
517,609,248,647,966,692,219,581,206,551,461,761,508,406,279,718,507,181,974,
676,463,015,858,782,362,771,566,329,026,178,973,100,510,244,722,199,187,429,
498,325,787,900,397,229,409,779,757,281,430,397,536,919,402,364,971,252,976,
162,032,023,622,880,176,598,838,465,239,993,655,840,126,287,767,457,456,459,
906,382,009,487,089,432,182,624,131,854,238,634,769,734,322,477,488,752,385,
671,550,073,136,688,720,168,622,558,675,668,120,338,764,934,166,850,878,457,
254,490,637,344,289,913,991,673,132,733,378,429,038,186,297,337,488,410,293,
175,763,471,848,990,091,303,827,833,001,105,199,241,599,703,995,965,022,524,
966,283,775,863,200,464,169,534,096,487,655,710,587,153,489,962,855,229,438,
059,543,774,153,804,408,903,144,817,685,903,037,038,599,825,198,047,162,946,
874,355,369,342,932,384,378,441,845,971,756,901,552,579,879,279,424,345,757,
227,064,595,782,193,660,942,171,136,899,235,852,673,055,514,867,196,125,187,
870,304,808,776,784,681,965,864,389,921,681,349,274,657,151,012,108,188,302,
564,522,048,653,073,290,063,039,506,113,414,120,961,623,116,522,944,687,908,
088,604,895,420,338,486,085,910,353,996,978,863,900,338,816,798,281,245,372,
372,519,630,399,952,130,245,274,307,581,066,445,489,313,490,334,867,191,885,
572,599,104,845,670,173,259,166,024,571,123,556,572,972,980,088,245,816,234,
481,276,300,155,657,264,393,495,837,051,674,638,833,843,147,418,347,013,978,
289,030,327,109,151,536,007,157,885,345,451,518,771,804,675,563,448,947,727,
047,802,387,299,499,661,517,821,344,842,893,413,722,140,596,520,680,974,690,
652,495,774,232,376,618,223,548,618,182,694,124,893,774,443,967,613,014,066,
527,632,465,465,603,177,452,722,626,664,772,315,516,171,513,125,209,395,616,
927,809,502,936,179,986,127,327,085,922,245,332,445,146,330,847,731,901,473,
088,569,839,177,962,366,469,340,360,618,353,776,525,071,751,909,552,892,626,
386,594,363,339,760,839,643,905,363,204,973,252,933,101,309,732,761,065,104,
725,465,235,347,350,374,041,052,169,822,275,485,647,940,866,217,170,143,784,
950,803,534,612,707,768,184,177,407,667,292,548,375,634,386,445,686,273,450,
591,249,063,049,925,608,116,459,554,377,343,370,805,293,311,033,835,223,744,
512,939,088,550,561,198,563,586,361,032,338,531,239,232,437,425,681,179,342,
862,798,078,460,378,591,379,738,740,399,725,850,384,445,869,178,495,756,304,
778,145,703,737,122,989,406,362,750,496,713,956,357,636,901,282,696,165,141,
940,041,201,591,480,301,928,068,085,651,161,259,735,389,631,129,746,396,661,
105,893,006,621,385,380,565,224,634,761,934,486,233,054,516,990,572,373,025,
258,812,333,336,516,814,022,295,891,093,485,790,093,883,726,882,698,938,549,
160,985,759,199,922,997,254,722,769,910,487,634,971,264,310,846,263,531,796,
401,012,137,499,312,957,451,153,155,883,158,646,771,224,625,919,802,129,807,
623,313,635,570,831,089,600,726,929,447,366,959,839,691,364,988,805,255,649,
845,649,314,698,569,152,624,305,599,863,161,914,114,111,760,651,389,697,555,
542,870,305,717,625,855,096,106,430,303,556,423,682,065,682,465,180,170,892,
882,238,103,458,167,052,737,438,831,008,601,478,105,752,405,593,428,241,893,
315,166,330,786,053,490,530,818,658,486,504,695,533,029,106,287,649,640,756,
438,340,733,951,153,953,718,496,171,106,192,486,492,079,147,114,212,424,097,
068,065,672,867,899,888,673,202,139,713,579,912,039,279,583,653,215,789,975,
684,699,146,531,867,481,028,166,084,843,419,711,238,744,776,223,620,760,329,
564,837,283,589,458,322,463,335,868,664,433,424,064,106,589,721,618,043,791,
801,690,342,459,414,947,522,627,376,044,098,241,070,728,834,917,773,804,679,
162,159,219,070,584,115,595,924,084,252,149,066,960,340,964,183,086,066,056,
506,087,070,833,779,323,429,896,980,181,543,125,060,117,757,736,807,558,468,
416,353,343,836,182,609,600,001,516,203,812,016,613,080,995,743,241,583,136,
994,047,008,235,691,965,201,268,062,862,976,403,018,594,314,427,836,891,765,
346,846,520,660,478,090,491,278,474,301,242,246,314,405,937,560,336,801,572,
990,851,670,633,306,777,596,146,821,808,879,715,103,982,767,480,392,894,882,
007,371,199,158,851,080,456,185,348,547,421,303,704,317,122,689,086,237,416,
462,359,877,999,520,786,451,800,766,735,450,898,042,501,091,280,149,973,500,
347,044,323,204,895,325,011,916,804,071,265,953,577,592,618,957,417,992,991,
503,915,670,595,239,157,409,555,387,682,154,028,557,269,950,857,687,802,807,
817,550,577,841,719,961,232,730,384,264,119,316,503,900,705,718,335,527,700,
479,992,195,162,326,472,374,094,186,172,720,698,034,878,148,609,916,769,198,
979,757,393,915,976,846,061,401,853,368,122,168,626,315,386,935,568,154,930,
485,290,874,336,782,177,330,304,314,225,271,412,803,204,662,141,541,121,565,
627,352,106,644,446,724,968,243,510,109,246,912,418,343,037,797,002,334,948,
087,147,423,518,194,439,288,070,356,945,494,402,461,209,014,630,784,762,499,
364,663,223,717,496,097,126,297,995,849,716,501,412,017,588,013,942,376,801,
707,447,566,912,112,404,058,604,090,949,995,119,595,125,934,440,617,345,754,
473,666,147,583,735,543,258,663,970,806,310,403,447,914,138,192,034,932,521,
386,597,467,212,637,421,175,321,269,781,638,454,871,758,548,496,991,526,018,
011,857,123,697,524,371,535,553,758,113,364,136,198,301,145,080,075,720,456,
984,708,293,088,141,942,184,448,331,698,027,698,356,819,999,560,481,113,531,
222,383,486,756,000,985,369,102,570,682,155,521,829,410,724,137,176,189,120,
165,115,254,872,855,922,199,975,161,904,211,354,321,795,182,668,202,479,427,
903,704,554,637,544,389,087,696,974,955,125,884,236,756,466,101,149,392,664,
200,538,713,073,493,792,090,023,427,972,718,548,653,162,249,973,316,834,152,
171,251,500,858,860,328,508,840,790,892,524,836,076,442,241,075,493,913,758,
220,524,803,845,895,593,116,081,708,753,191,550,153,067,370,794,949,346,250,
878,927,783,768,971,423,489,268,308,703,650,139,679,484,651,292,703,647,776,
244,481,950,308,704,786,417,525,284,164,712,892,051,421,957,992,871,198,849,
984,802,046,660,021,584,158,588,345,992,527,992,630,226,476,204,351,413,694,
261,722,122,226,691,011,651,708,975,105,504,476,373,527,823,717,328,240,867,
062,316,253,710,870,431,952,312,706,807,433,804,129,953,726,105,642,741,221,
658,481,798,121,058,321,341,996,998,266,881,686,854,207,196,830,734,900,167,
729,092,791,277,117,266,342,023,760,296,849,873,222,651,753,218,566,314,104,
103,506,042,513,257,104,375,786,742,710,184,042,848,860,961,067,099,055,600,
525,700,159,209,836,754,076,643,480,724,477,986,064,913,075,973,252,421,900,
815,121,602,491,293,563,106,913,456,927,318,079,921,271,867,015,880,198,622,
403,573,678,063,033,265,592,862,737,002,539,369,673,306,941,861,585,388,203,
738,162,412,922,160,212,988,894,193,667,131,526,043,284,010,108,352,616,276,
728,258,479,957,042,115,314,453,445,495,808,349,812,713,784,208,769,935,199,
676,936,735,454,466,954,784,514,070,136,600,897,878,069,010,617,595,466,269,
316,334,804,413,861,435,605,545,646,694,601,304,300,450,871,383,666,291,060,
129,339,942,563,203,028,156,438,983,951,705,697,684,284,306,145,499,664,339,
171,428,696,476,639,316,494,563,761,778,657,769,893,994,969,691,405,185,804,
844,427,041,578,257,037,627,352,981,358,330,361,456,288,798,384,501,778,292,
973,228,564,713,368,137,274,038,950,324,306,715,378,104,879,220,390,159,611,
550,711,048,995,140,351,999,927,653,705,837,708,215,394,670,265,075,041,140,
082,010,331,773,297,724,565,927,235,854,043,664,839,619,004,094,626,954,661,
796,039,191,881,533,915,665,079,497,451,580,087,997,416,680,249,206,230,409,
567,470,062,207,259,310,270,175,413,763,713,815,656,248,384,498,504,025,170,
436,634,079,039,384,943,090,701,006,025,592,366,474,776,902,436,227,065,688,
860,816,214,414,279,574,862,644,491,233,662,273,286,942,520,544,920,018,737,
620,262,324,775,007,556,242,956,938,639,664,215,719,833,785,082,060,925,463,
073,832,565,565,480,268,294,576,765,459,085,297,067,286,698,216,369,688,236,
021,093,227,560,808,557,398,932,728,400,286,615,137,889,035,720,453,840,757,
559,018,858,452,904,046,929,533,991,897,708,820,540,667,722,924,959,231,334,
611,147,980,207,332,134,752,864,993,360,539,522,609,791,071,249,809,169,875,
365,642,816,305,316,653,885,948,923,288,167,332,094,418,081,971,417,949,355,
583,578,592,768,738,537,098,290,747,170,502,818,185,409,415,563,586,915,854,
425,201,830,297,772,185,851,890,162,419,347,985,198,884,690,259,164,515,624,
351,792,184,566,736,480,766,053,472,356,084,356,208,525,367,097,537,104,691,
110,790,511,845,350,210,599,300,236,806,877,959,912,218,771,053,311,364,156,
154,613,701,110,753,757,543,897,464,680,390,171,055,988,863,539,186,069,973,
879,673,529,799,151,414,808,242,152,255,992,596,339,845,534,375,284,049,169,
334,397,932,450,555,088,384,841,975,315,025,543,999,702,045,752,979,750,745,
687,925,829,703,623,481,913,552,336,127,295,433,917,412,510,904,692,875,512,
128,812,884,474,123,632,248,323,103,651,998,000,601,155,191,249,794,303,238,
063,173,022,768,845,401,895,203,263,823,268,081,784,715,460,019,986,898,240,
647,359,155,658,385,825,204,251,867,364,615,779,152,275,788,559,732,936,354,
699,130,459,821,143,332,652,218,477,691,913,547,019,352,914,130,792,435,109,
663,770,410,741,290,115,415,929,987,652,300,425,423,924,166,114,315,519,774,
632,430,415,786,812,304,749,933,962,996,255,569,276,818,705,411,661,422,235,
379,755,044,854,529,419,574,229,914,697,313,236,302,409,357,654,561,776,367,
255,954,988,565,394,578,200,533,492,672,713,347,204,780,119,995,777,720,552,
563,181,008,773,552,809,319,578,602,617,071,772,007,882,307,258,894,599,284,
356,868,050,407,225,095,414,961,809,260,756,102,181,011,591,032,295,352,707,
561,552,350,191,864,551,795,467,131,770,425,855,422,460,027,304,772,264,963,
244,298,335,577,373,362,821,679,197,504,306,644,620,654,545,502,387,229,564,
078,252,602,291,338,274,128,984,766,839,805,184,412,368,245,748,587,612,568,
252,302,991,739,327,894,876,392,762,921,520,840,030,026,509,809,692,535,820,
394,586,084,350,745,850,709,341,089,908,279,339,779,830,653,668,537,407,966,
556,220,234,260,129,308,919,343,511,838,979,685,682,950,889,021,590,637,065,
905,644,486,224,684,706,046,180,937,365,406,904,272,835,139,205,341,483,232,
689,489,296,883,869,863,397,936,258,768,659,721,470,170,301,645,789,722,632,
079,356,743,216,110,897,566,268,386,069,137,376,531,652,791,262,590,123,721,
438,143,637,599,492,399,892,024,930,351,787,333,660,569,890,954,907,307,111,
843,967,905,375,313,036,749,691,017,006,937,846,683,227,664,772,912,363,286,
136,062,730,251,099,353,544,476,829,787,955,097,147,359,125,852,419,290,636,
651,923,931,454,030,454,011,600,491,574,371,290,056,550,553,432,250,714,666,
436,928,781,585,592,505,216,323,262,727,362,079,651,868,267,409,370,546,111,
042,756,225,078,233,139,524,514,442,524,663,501,589,761,610,539,970,423,614,
801,171,115,604,571,784,695,168,348,177,162,408,791,972,688,674,094,464,395,
107,359,796,993,300,186,546,123,014,424,435,501,652,801,067,478,545,956,263,
962,166,846,092,363,671,466,392,437,550,142,234,377,273,141,050,560,445,270,
250,122,270,262,791,943,040,903,183,053,816,577,844,033,938,154,311,796,604,
400,120,380,230,539,296,488,591,614,763,075,707,719,542,280,102,374,235,302,
691,781,321,296,801,034,802,902,186,117,276,070,474,136,833,921,855,126,222,
753,605,836,138,176,753,658,835,110,837,083,018,449,799,793,916,304,325,918,
449,286,015,299,491,406,575,153,903,387,577,608,649,223,257,656,039,945,970,
957,812,801,549,106,861,740,491,312,514,722,038,036,877,977,995,357,018,822,
340,733,115,766,345,388,310,119,477,934,253,465,659,590,306,695,876,707,436,
459,602,531,432,795,792,172,153,152,416,554,729,681,904,125,852,040,196,515,
267,776,430,431,670,075,075,204,042,821,516,278,749,278,463,974,199,388,877,
282,820,824,521,931,145,824,553,476,836,893,274,422,706,642,485,134,678,179,
482,452,736,460,216,613,770,397,803,916,851,471,559,044,096,790,050,488,522,
089,701,791,612,658,197,670,964,203,206,114,974,594,697,130,966,564,817,495,
223,272,469,014,396,576,005,559,585,302,968,838,383,618,695,751,978,029,202,
693,965,871,423,451,897,096,619,813,128,867,324,048,405,049,971,844,358,534,
652,573,172,494,241,210,014,719,654,390,303,199,082,531,056,990,552,628,996,
301,164,495,256,146,421,576,432,870,445,690,566,555,117,170,033,569,299,069,
084,921,146,158,888,368,069,361,711,865,127,828,773,311,007,551,459,028,226,
357,653,625,302,330,065,236,108,212,602,132,894,943,149,961,951,135,686,832,
334,646,504,827,626,460,245,229,159,380,506,330,328,591,669,455,869,632,963,
287,776,788,226,684,433,869,511,553,584,569,857,588,679,264,690,472,941,426,
577,313,785,569,811,635,861,248,685,174,992,336,043,469,911,969,760,694,874,
787,156,922,203,097,253,448,124,091,225,032,412,188,682,836,941,804,189,149,
279,904,494,206,131,619,892,307,021,107,568,304,981,761,956,242,237,013,256,
390,509,682,472,838,118,861,881,233,160,240,383,702,098,241,972,923,037,612,
523,202,903,677,982,780,330,606,449,857,725,213,669,441,333,057,364,109,264,
856,128,355,129,239,622,144,636,412,059,444,182,607,798,960,734,403,088,806,
248,586,870,955,786,690,784,386,207,415,324,731,312,368,483,038,652,395,277,
936,832,702,883,726,959,432,054,076,953,414,632,829,370,111,696,001,694,211,
577,197,058,025,265,023,122,739,128,532,953,169,821,005,925,338,710,897,332,
757,724,163,630,101,941,501,753,146,251,582,044,727,629,271,007,890,420,808,
449,218,362,394,986,345,431,543,320,882,501,824,655,341,985,105,992,937,996,
556,479,731,147,321,179,591,729,893,494,927,509,148,408,957,414,415,610,392,
483,103,975,883,651,288,133,918,155,424,572,044,477,475,631,538,036,504,559,
158,247,396,393,962,855,594,923,447,114,073,127,863,926,365,283,285,344,175,
842,786,432,891,347,701,080,540,172,350,310,974,978,390,845,162,762,674,915,
827,215,530,663,971,788,763,814,180,472,667,365,313,885,883,329,371,111,124,
935,723,124,655,012,407,615,576,446,480,050,399,657,708,030,784,205,205,555,
711,727,190,438,705,143,484,106,673,711,971,021,816,309,687,906,475,799,440,
556,507,815,300,937,943,726,906,429,610,898,605,268,724,111,015,689,291,998,
046,562,758,114,928,842,140,404,975,266,250,444,188,887,610,261,737,683,797,
340,935,336,109,873,999,443,510,464,621,803,467,003,700,347,917,301,076,713,
330,351,996,938,090,929,495,485,330,234,660,803,280,294,803,590,598,222,449,
328,706,512,257,900,261,396,774,127,445,646,603,081,964,426,435,363,387,112,
298,675,817,516,036,996,085,853,361,960,944,686,478,371,565,893,495,500,068,
178,907,841,461,124,906,871,345,140,990,623,764,208,711,293,011,552,996,835,
925,845,831,128,593,001,504,188,611,610,120,535,319,475,079,479,924,348,329,
746,396,451,645,343,712,336,773,664,626,424,649,066,573,109,614,236,153,858,
241,901,526,924,693,938,183,722,590,103,397,179,195,846,780,851,687,276,101,
323,985,679,085,300,347,995,025,281,322,865,889,277,796,116,448,792,467,727,
998,098,277,148,975,973,592,275,439,833,908,961,758,984,978,797,486,987,282,
598,388,321,108,247,034,165,108,028,618,254,315,758,299,993,265,275,624,872,
275,624,438,875,959,677,195,972,634,185,098,508,282,323,756,529,485,306,195,
247,583,328,521,420,643,909,267,236,084,944,172,112,133,407,241,721,459,806,
598,421,679,705,132,653,112,397,365,694,014,668,491,720,157,864,014,659,007,
680,726,413,962,408,219,396,003,964,549,455,279,496,638,151,149,540,096,443,
140,531,156,093,314,695,617,022,636,029,705,036,046,709,945,755,833,390,382,
812,548,093,612,739,115,058,930,597,010,804,195,159,042,382,633,987,065,721,
258,980,231,648,886,672,163,057,118,226,816,047,822,174,543,053,899,839,729,
953,346,322,575,403,667,874,819,357,667,358,585,255,110,821,189,125,472,806,
070,305,533,581,463,292,099,421,377,813,670,295,948,858,747,245,754,581,413,
132,764,294,841,882,184,261,008,101,343,255,067,175,774,339,121,912,177,337,
360,181,817,151,894,067,301,057,628,802,731,341,213,059,772,660,863,840,218,
563,842,445,357,221,643,227,238,648,986,965,533,447,907,390,840,610,092,412,
739,517,374,639,078,451,758,898,772,775,589,302,530,359,798,061,391,603,069,
525,907,024,799,928,036,922,689,447,148,109,034,396,119,829,191,158,795,112,
226,885,510,649,197,105,355,706,785,369,787,627,584,366,343,715,841,972,850,
378,693,116,695,259,049,589,294,059,881,279,644,660,931,676,846,473,006,274,
665,948,115,151,111,102,128,074,879,318,826,369,025,278,998,309,594,628,079,
641,137,582,780,140,917,840,988,239,278,623,304,258,899,309,482,007,103,173,
775,891,336,450,239,729,829,814,493,719,608,166,791,571,009,367,173,916,681,
974,757,573,827,794,400,359,211,939,603,161,127,810,118,977,319,603,558,407,
014,195,016,576,773,869,736,174,204,815,405,721,535,868,785,113,755,114,373,
490,152,441,170,593,543,423,799,309,028,030,441,286,848,796,261,288,219,563,
993,158,254,945,362,843,112,822,010,729,445,530,892,633,403,067,030,257,367,
023,662,018,301,448,833,611,177,548,310,374,358,232,219,722,291,029,072,485,
696,250,066,485,312,505,517,140,640,050,672,920,100,302,038,709,814,831,909,
088,442,509,900,324,209,633,125,123,467,105,054,425,238,759,917,567,139,503,
702,135,089,884,740,898,304,557,550,940,934,416,166,327,616,444,745,817,714,
483,255,306,094,887,197,460,331,722,088,538,233,114,598,694,733,301,846,117,
739,181,917,884,881,487,896,102,394,846,291,698,024,918,183,212,429,753,265,
754,021,056,713,490,622,072,952,313,657,282,309,476,358,284,402,389,468,048,
612,919,690,797,063,481,657,730,639,325,431,497,964,235,543,870,750,553,341,
033,492,439,866,900,141,799,272,596,895,262,352,823,737,632,066,887,710,595,
635,630,656,518,694,229,658,813,601,028,852,760,214,192,333,345,553,877,808,
562,865,485,838,832,001,200,040,516,588,917,252,900,791,738,208,097,411,789,
002,678,342,179,582,236,490,496,522,208,631,516,402,134,053,250,834,159,036,
227,470,719,581,756,135,442,184,117,811,440,043,311,049,541,671,636,811,010,
996,455,389,667,539,930,671,859,574,475,496,460,573,101,225,216,158,141,238,
575,417,307,721,457,395,134,225,864,532,716,867,470,651,335,683,969,313,189,
396,428,714,359,814,254,000,117,383,188,765,010,289,962,406,047,487,297,999,
497,081,773,773,083,804,989,851,154,631,553,154,379,202,595,460,443,895,209,
708,209,391,765,324,974,223,428,736,500,525,425,051,629,527,724,374,078,136,
449,643,590,220,638,548,298,366,192,574,764,766,452,800,700,498,464,546,592,
381,627,634,675,487,426,526,181,412,078,865,018,987,429,018,123,999,100,254,
396,013,604,686,187,535,320,125,676,490,862,170,330,795,135,021,691,365,750,
412,333,406,954,024,060,305,242,121,970,833,721,317,769,965,540,743,427,180,
771,135,531,947,439,400,996,360,207,632,040,161,620,843,197,128,248,611,977,
389,595,213,011,475,045,954,444,666,450,681,070,049,424,702,682,567,452,565,
788,710,574,335,838,073,107,216,671,603,306,458,063,795,355,638,287,522,122,
917,740,892,021,175,135,169,387,315,153,395,991,125,161,580,301,838,880,173,
326,209,783,856,662,107,726,759,803,013,878,370,462,151,089,794,041,340,565,
230,119,636,911,073,011,166,982,746,623,369,044,036,661,080,810,111,888,858,
900,725,244,088,604,569,069,368,678,396,905,025,661,098,070,804,428,519,267,
630,284,451,580,693,262,877,525,266,845,043,258,684,739,614,408,778,962,130,
325,135,092,614,285,748,073,963,054,945,001,871,148,752,166,909,367,207,456,
709,263,993,626,419,494,668,474,510,329,153,048,724,302,613,609,361,729,539,
461,168,550,371,922,375,646,408,807,253,018,725,774,327,413,766,823,536,065,
777,735,783,165,198,022,213,120,489,239,515,001,120,252,516,674,711,883,357,
049,021,189,378,925,957,957,335,245,946,037,151,427,815,582,793,307,159,777,
249,814,877,732,516,015,194,595,628,151,427,816,402,083,997,032,190,037,925,
754,520,537,591,215,651,813,997,566,567,368,192,973,853,044,808,280,149,870,
158,524,518,518,005,924,704,072,041,154,931,470,575,606,321,114,970,484,795,
480,030,222,337,239,855,996,369,099,648,595,993,322,361,744,971,949,332,001,
565,704,079,385,921,633,193,336,606,805,931,190,572,455,762,039,287,843,680,
690,991,351,079,169,008,330,104,641,980,451,371,219,969,363,763,068,593,085,
481,580,950,282,262,020,498,902,030,979,798,988,518,156,894,814,797,705,152,
545,615,566,960,967,193,876,280,946,558,392,427,203,326,004,165,605,645,038,
841,109,617,619,365,767,492,236,305,551,640,030,653,823,871,908,960,890,988,
177,914,477,633,672,414,970,947,383,956,181,245,041,638,242,738,116,980,082,
450,554,581,662,403,780,729,978,228,056,647,749,246,645,931,863,484,093,055,
206,212,121,549,319,350,077,260,435,842,086,149,089,920,787,467,572,849,415,
677,700,358,768,447,248,884,352,827,769,481,254,606,029,486,673,000,298,516,
003,674,679,809,042,013,945,348,056,811,593,939,532,086,195,810,766,367,196,
770,425,720,929,709,771,500,261,375,512,772,472,149,342,546,077,893,395,652,
619,777,046,146,752,569,422,649,663,378,888,591,526,945,096,738,651,887,450,
510,001,241,256,600,142,934,167,490,609,969,918,849,330,203,045,335,228,273,
816,309,811,401,145,623,662,351,038,751,011,865,956,483,367,471,104,716,093,
945,461,739,458,509,585,095,176,525,921,783,848,619,991,329,965,259,952,132,
210,614,896,154,866,917,747,515,344,013,312,321,388,174,866,234,284,150,541,
632,086,079,036,562,037,275,860,872,293,223,598,487,638,677,714,841,682,669,
622,281,457,522,742,002,902,815,991,542,575,429,593,931,153,159,090,727,640,
292,520,426,112,918,423,066,693,752,038,369,153,541,475,605,343,354,412,757,
232,596,696,165,172,030,179,032,273,141,539,136,194,223,482,126,354,503,166,
944,800,347,815,324,249,450,275,921,117,639,787,017,427,969,843,255,570,035,
901,197,939,617,097,351,512,178,810,383,609,940,030,265,276,831,493,638,889,
915,146,269,440,968,840,850,666,262,695,557,932,546,928,234,976,054,831,459,
527,129,268,416,288,908,736,450,579,670,266,285,258,343,511,114,894,547,868,
736,563,478,937,722,406,726,626,293,558,157,082,421,515,062,536,254,673,425,
051,148,505,437,400,563,364,067,488,472,626,407,322,446,729,659,461,786,903,
162,400,555,119,259,187,294,121,116,781,203,068,340,369,703,172,125,068,110,
449,231,202,514,444,414,824,278,451,800,798,352,280,869,772,518,269,201,756,
743,325,881,557,774,171,439,663,435,745,626,338,448,604,889,274,977,092,251,
187,850,272,976,195,210,241,708,770,425,830,304,091,214,870,626,589,178,420,
331,730,265,838,523,192,321,960,335,541,394,009,624,281,394,209,041,712,983,
786,403,430,918,569,360,211,186,455,267,140,373,360,910,697,442,758,410,718,
590,377,327,359,578,255,345,426,938,943,255,302,876,394,515,801,933,912,064,
526,170,015,811,053,208,539,357,123,948,919,119,949,245,457,354,418,784,157,
149,594,114,080,042,250,535,710,322,427,703,784,510,196,576,138,792,839,389,
287,726,448,640,908,261,852,794,507,355,713,668,475,644,161,069,205,356,489,
668,452,802,665,542,906,906,744,733,519,137,372,772,222,068,239,232,996,520,
173,703,337,830,306,054,785,314,494,483,973,710,891,600,638,363,609,379,770,
678,177,830,134,752,308,542,375,054,271,790,489,499,453,279,934,972,322,333,
507,897,816,858,956,150,946,370,425,671,087,468,179,577,480,215,561,985,013,
528,156,273,259,007,668,533,652,435,721,438,659,800,773,420,215,140,331,881,
051,838,811,026,937,366,269,062,958,913,625,201,908,053,049,986,019,926,901,
241,963,845,532,390,714,708,554,266,432,649,067,392,408,343,497,147,204,271,
007,284,163,238,218,202,514,172,079,591,983,299,971,808,261,399,922,288,273,
890,451,329,811,980,218,399,685,917,307,746,990,981,526,568,313,415,770,319,
475,528,362,007,177,133,793,995,339,722,939,700,885,285,834,706,129,321,546,
905,483,505,840,589,487,383,886,296,530,205,276,143,446,708,638,963,157,521,
319,233,557,491,075,549,817,790,957,963,183,051,464,674,395,351,735,232,088,
396,512,651,973,370,419,312,622,324,199,356,500,452,869,241,694,672,023,227,
630,308,618,427,328,074,974,500,393,790,108,391,470,488,934,997,636,588,756,
106,845,684,952,599,335,216,195,075,593,747,997,715,842,010,675,710,917,035,
027,861,281,402,602,247,730,417,755,452,054,796,784,605,886,279,352,384,631,
143,761,221,818,324,630,202,253,473,651,251,643,115,085,212,430,620,065,214,
362,171,696,295,072,304,571,490,046,274,893,948,378,107,545,964,861,735,937,
513,185,246,509,303,477,350,582,618,644,003,213,330,462,816,910,541,627,155,
832,138,297,093,083,324,934,052,426,313,677,971,178,446,458,692,313,129,898,
311,721,681,990,523,964,759,774,032,948,003,036,245,553,594,964,305,344,762,
350,430,595,796,833,628,621,258,698,957,700,512,654,564,022,632,352,608,486,
428,566,441,136,965,825,957,962,328,591,468,188,338,391,634,446,474,101,224,
606,396,783,548,670,483,728,855,305,810,909,478,499,565,915,551,878,422,570,
855,436,276,060,030,500,287,803,649,897,585,350,518,728,090,968,916,409,356,
135,830,347,736,672,744,194,653,436,282,386,842,188,485,314,967,116,354,855,
203,266,245,511,539,157,409,387,072,775,049,146,594,126,601,199,381,474,632,
421,251,790,684,165,202,290,460,944,871,926,870,243,450,035,342,856,886,036,
964,082,214,071,503,859,227,596,334,214,966,608,291,606,522,173,413,879,644,
490,841,977,032,483,329,838,432,751,512,611,847,818,422,367,272,551,664,285,
212,373,750,913,804,956,116,634,627,986,566,269,716,541,668,944,652,185,406,
335,776,956,954,732,852,093,838,677,623,007,935,525,266,569,087,744,980,130,
432,788,743,488,451,800,970,481,582,679,050,710,288,169,952,161,091,499,120,
557,632,661,483,727,266,672,592,047,908,286,841,742,466,894,786,717,413,074,
366,805,992,422,224,206,628,451,915,421,472,506,252,058,516,562,469,310,794,
404,218,582,257,988,222,996,237,371,280,456,779,445,348,257,750,637,947,322,
531,901,439,585,563,296,720,531,811,967,792,479,752,302,413,120,454,467,787,
631,270,836,277,696,504,963,540,112,404,877,372,605,332,561,851,539,423,005,
658,321,992,188,964,637,784,123,578,875,032,493,331,242,877,922,484,177,327,
518,168,652,124,696,412,360,614,649,609,878,445,523,830,803,702,792,723,149,
095,970,701,032,955,184,168,540,169,268,265,338,929,700,831,980,434,598,251,
638,254,286,163,685,435,943,548,067,727,029,318,416,411,330,889,374,246,181,
744,053,753,102,112,297,637,720,859,880,727,776,820,175,521,572,651,958,844,
088,625,054,174,743,059,312,931,679,813,134,753,650,902,432,930,710,999,847,
981,337,552,539,543,492,498,270,374,855,110,659,594,093,300,136,531,106,196,
435,000,027,301,315,128,127,852,951,986,038,549,368,972,020,189,507,533,583,
100,456,989,336,002,455,468,433,831,648,718,837,643,711,167,318,624,070,770,
765,015,450,892,235,507,276,304,701,389,493,619,626,638,609,063,088,942,210,
643,563,021,672,546,390,469,698,927,016,208,337,380,388,501,252,390,825,496,
955,367,701,705,626,698,649,183,957,989,579,895,566,144,491,208,586,045,606,
758,723,344,029,116,643,431,580,498,587,076,298,093,644,443,179,467,552,324,
307,518,773,036,096,888,575,158,097,923,240,348,624,796,394,076,593,614,297,
386,440,236,040,248,967,422,529,562,464,207,255,522,125,745,432,177,934,953,
345,112,403,769,411,518,855,496,751,156,214,639,195,367,736,839,005,778,101,
388,635,478,565,114,868,193,331,133,705,737,308,899,550,908,481,647,412,013,
658,077,299,361,001,849,111,975,379,597,754,779,608,878,152,371,543,801,757,
947,455,768,874,121,179,417,925,773,801,386,008,836,422,339,775,811,419,865,
381,298,101,952,122,220,489,002,408,470,576,371,183,986,682,802,508,166,242,
290,060,855,033,476,367,330,919,549,150,715,886,685,447,685,122,142,111,505,
734,926,588,261,815,317,313,230,380,661,324,781,468,896,330,466,388,450,553,
311,570,323,139,424,397,688,182,603,966,263,947,090,349,250,713,160,825,743,
751,492,234,700,817,607,045,575,843,429,716,545,418,247,362,249,522,717,940,
815,434,028,441,005,598,595,046,542,245,640,256,582,993,205,687,486,580,356,
248,749,717,173,706,799,970,982,844,850,975,827,285,381,662,645,001,487,347,
109,706,703,877,692,562,442,217,538,081,977,354,083,637,217,274,730,167,954,
229,473,862,351,615,336,152,616,414,094,801,977,796,891,700,091,620,355,794,
878,156,011,896,873,265,295,621,460,742,977,407,649,449,880,504,905,217,015,
998,113,767,674,509,284,402,500,180,970,000,849,455,151,778,483,767,259,188,
723,760,526,281,786,744,570,419,885,422,466,206,443,409,182,709,771,645,204,
528,743,768,381,529,649,539,605,259,239,994,439,186,115,586,664,824,381,470,
175,989,378,301,699,493,518,416,677,067,097,582,867,488,373,229,134,204,046,
542,045,433,847,902,021,949,698,100,805,295,454,369,675,058,903,355,802,333,
317,000,920,715,067,451,266,467,897,449,661,096,233,969,015,586,388,510,072,
468,701,546,261,140,684,036,297,102,367,476,625,838,010,997,390,042,927,162,
862,378,291,103,302,530,891,479,452,486,131,496,068,035,960,072,683,641,763,
942,752,546,014,187,539,482,283,917,623,513,524,367,864,790,043,155,630,901,
428,481,688,857,293,528,841,559,883,745,292,507,184,273,157,203,305,884,273,
256,176,961,139,202,049,496,240,400,351,906,054,263,457,327,523,966,541,358,
731,755,514,451,808,823,161,593,046,154,035,383,387,552,857,250,465,392,233,
108,143,146,416,746,409,785,718,707,152,641,467,048,284,048,272,718,830,458,
302,915,120,291,447,891,437,871,939,873,447,303,314,363,096,104,863,580,893,
111,906,109,425,181,379,379,808,932,293,670,177,319,816,590,891,750,433,734,
892,193,716,119,902,399,837,247,125,098,765,670,153,872,805,976,375,552,028,
638,759,781,572,751,142,650,442,464,914,339,652,732,056,045,973,522,581,424,
949,335,521,084,720,252,847,247,963,769,746,777,486,525,184,943,354,999,160,
166,011,436,599,941,024,612,351,881,913,952,574,855,526,641,848,361,751,806,
537,330,945,837,689,919,752,918,734,492,074,198,531,986,304,565,333,979,287,
342,310,881,048,506,462,616,473,516,349,867,319,235,917,677,937,732,094,307,
089,134,260,544,597,796,670,494,782,744,846,775,496,168,577,419,173,385,466,
734,931,286,918,509,873,439,035,542,043,203,787,718,836,452,338,951,391,088,
761,838,460,415,486,036,194,529,435,504,847,955,431,405,868,756,865,809,519,
858,520,866,750,791,801,318,328,538,901,327,302,651,756,438,463,012,279,632,
908,653,853,366,812,291,554,229,594,053,767,868,022,843,643,874,390,608,129,
742,765,058,993,035,613,350,823,749,370,914,983,557,146,953,298,145,544,283,
100,573,426,171,933,201,697,721,915,631,571,927,040,072,118,448,620,210,231,
243,112,624,553,915,939,787,077,818,892,156,815,063,219,992,790,960,407,714,
452,475,277,076,620,738,029,344,007,906,146,008,516,438,512,464,488,912,736,
922,703,112,409,114,896,052,352,174,975,387,618,021,494,678,464,291,679,284,
037,563,351,226,213,125,269,935,830,413,908,954,955,097,249,622,093,769,466,
236,546,828,363,934,787,419,975,059,109,985,047,802,175,182,006,820,573,838,
814,609,244,116,528,284,019,736,969,480,233,617,169,710,516,639,065,565,405,
925,091,217,104,502,151,273,033,055,228,197,923,001,886,721,655,487,240,840,
383,718,153,233,906,505,074,221,554,256,639,221,957,871,184,942,617,939,682,
725,542,176,711,354,441,593,701,846,371,811,785,596,529,752,944,404,398,072,
561,664,039,388,923,296,370,058,673,182,622,856,526,622,819,644,609,868,412,
000,833,927,604,820,094,756,438,591,364,984,672,899,508,552,869,015,239,064,
684,283,171,469,822,803,208,451,486,029,566,125,329,560,993,630,329,581,332,
952,480,778,846,974,335,959,787,373,395,653,021,812,231,046,232,352,735,474,
896,893,184,486,487,075,669,538,699,351,986,146,800,392,367,045,700,499,775,
325,905,539,485,074,491,431,647,458,119,861,896,674,276,501,341,744,100,730,
687,024,779,571,787,809,784,831,564,970,898,356,349,748,465,612,121,840,056,
599,777,696,205,444,359,783,571,467,527,947,605,908,453,604,063,831,670,993,
190,335,669,996,676,067,867,582,289,767,209,206,551,095,449,107,580,185,521,
919,985,946,568,274,002,498,490,857,796,013,587,137,250,831,866,611,261,374,
256,467,558,727,692,069,758,453,693,767,028,551,244,806,912,180,921,102,948,
327,380,933,931,299,887,555,423,850,477,481,159,357,849,171,555,192,683,234,
274,185,564,902,421,666,053,927,646,371,324,393,547,888,836,840,256,478,730,
411,413,162,579,328,109,557,945,019,195,880,966,391,667,502,519,253,109,168,
425,369,323,975,411,087,629,589,833,963,500,714,150,175,587,046,225,108,998,
635,032,687,483,623,497,298,048,040,326,565,004,831,262,240,398,216,099,631,
581,790,055,255,364,412,520,717,706,394,680,550,800,131,399,898,235,849,739,
388,603,360,492,304,022,148,214,350,820,806,298,169,984,901,027,977,082,125,
536,195,602,568,223,990,420,755,274,393,856,969,700,358,695,222,332,702,395,
678,521,633,712,704,006,605,398,319,375,277,677,259,622,359,610,384,655,275,
201,535,079,287,276,274,428,934,811,320,622,323,227,041,312,900,280,089,252,
871,184,640,613,114,820,797,846,989,323,543,288,187,707,145,477,819,514,844,
339,097,814,617,053,882,118,174,759,983,156,164,581,693,851,933,845,284,310,
232,091,923,646,127,080,236,870,505,527,127,330,820,311,000,728,900,104,025,
894,829,939,188,076,016,503,606,432,706,941,231,020,639,361,000,988,777,745,
210,118,366,527,361,506,439,827,152,377,564,900,051,470,985,445,782,207,750,
349,594,411,719,374,336,222,257,090,722,341,960,989,955,941,133,723,984,886,
313,571,591,046,245,169,471,761,696,597,223,721,404,276,283,996,280,235,689,
013,329,711,033,604,263,094,702,705,329,092,816,454,649,827,871,122,294,907,
273,664,984,196,600,442,676,933,353,365,648,093,374,859,415,308,828,630,590,
270,622,034,232,174,504,895,271,886,209,046,536,550,965,236,901,232,994,506,
207,770,660,539,317,070,072,118,933,461,846,660,636,224,237,402,136,256,537,
105,573,815,211,611,050,066,131,329,214,838,059,917,397,026,554,724,549,914,
595,836,692,923,681,858,197,930,077,728,520,240,447,999,237,507,881,401,246,
193,650,096,306,659,765,842,337,967,121,530,368,438,249,572,082,874,681,646,
234,148,605,242,719,007,434,279,279,193,573,753,744,202,318,213,800,808,255,
928,836,405,363,085,889,892,984,146,507,279,739,803,704,389,290,174,266,731,
120,777,742,372,847,103,707,013,137,328,301,456,369,780,126,810,052,981,157,
062,987,725,183,213,718,654,649,976,606,195,165,601,733,307,829,637,043,786,
432,346,920,244,611,572,001,339,887,088,139,270,046,096,210,536,132,550,686,
887,386,763,374,284,361,242,742,875,394,117,754,498,057,855,854,298,126,085,
167,616,427,217,030,057,053,881,134,051,243,076,147,388,440,805,960,894,775,
888,256,552,738,012,989,322,356,259,958,323,285,722,721,916,260,729,020,667,
911,619,034,775,520,922,715,771,152,077,549,694,771,514,345,343,839,181,065,
202,438,733,695,347,072,885,156,044,346,860,980,769,771,463,084,618,041,105,
836,192,881,769,517,552,184,655,924,634,156,901,549,846,799,991,442,399,015,
612,668,485,116,613,337,807,387,317,321,229,434,291,270,183,542,762,511,480,
725,233,134,653,052,774,803,014,178,939,938,957,632,598,518,960,793,617,751,
860,897,331,093,393,922,469,256,050,884,164,035,685,080,954,653,320,755,181,
350,293,966,168,332,299,796,666,668,095,244,966,392,717,202,769,707,492,407,
613,614,661,365,539,008,112,766,752,840,340,084,123,559,247,021,562,145,305,
246,664,830,033,974,273,974,526,808,675,042,839,882,915,024,072,173,565,997,
101,443,578,091,964,041,547,162,807,618,608,386,564,957,429,258,782,593,859,
030,832,757,258,518,385,384,354,801,203,772,019,027,733,790,971,121,421,040,
262,603,571,914,102,508,722,475,969,396,181,643,883,925,129,816,607,626,457,
888,457,780,680,502,403,297,968,493,385,430,081,839,117,853,615,568,334,050,
586,707,507,247,687,966,554,386,758,565,519,965,468,925,657,805,043,732,843,
438,484,119,002,669,961,224,204,962,054,869,799,704,549,555,856,042,404,625,
352,584,040,188,508,611,153,637,618,678,430,291,983,479,912,168,877,645,732,
584,581,200,067,430,361,739,571,580,103,666,226,004,232,813,199,941,433,073,
453,782,535,323,009,533,332,615,901,444,735,404,883,264,669,760,757,379,951,
013,790,267,845,592,514,857,296,846,548,711,186,478,848,652,068,792,931,234,
383,109,376,572,292,970,342,600,737,606,012,473,106,468,082,273,922,476,917,
971,286,455,561,684,129,291,487,785,101,144,041,120,764,012,053,786,760,372,
649,325,607,288,968,505,190,354,488,086,639,610,240,288,000,307,216,236,136,
776,287,120,596,674,044,476,661,569,479,841,061,089,284,939,020,731,403,954,
338,205,518,171,390,035,183,761,513,975,342,243,848,782,805,689,017,989,772,
301,996,746,952,793,141,839,672,983,183,764,715,784,522,818,706,221,495,568,
772,298,086,642,280,922,951,451,158,632,411,471,331,933,234,319,395,390,717,
356,742,540,585,667,383,849,298,919,519,786,468,364,507,865,512,804,850,262,
059,037,893,273,802,788,753,991,811,458,551,393,179,959,588,654,724,729,361,
275,257,962,971,942,470,026,108,241,163,096,395,618,397,914,495,162,822,027,
669,188,676,916,185,393,093,169,531,385,097,496,234,888,076,140,846,612,586,
269,641,804,908,598,733,850,914,984,515,707,879,866,032,936,710,456,423,952,
092,174,298,721,090,372,555,591,597,299,104,366,776,644,291,169,499,925,423,
877,520,943,074,800,617,011,462,323,897,718,280,656,326,331,053,793,158,712,
791,641,731,800,779,454,230,606,019,808,546,484,915,875,240,934,941,997,969,
934,321,821,728,411,256,751,308,445,121,417,724,821,403,078,708,126,104,854,
971,558,005,734,069,245,479,263,396,390,887,143,752,136,947,586,656,206,099,
997,043,144,568,338,075,990,651,069,755,271,509,622,886,188,145,750,700,299,
270,596,780,665,008,172,828,465,636,705,328,996,340,500,751,548,693,674,419,
826,344,657,013,451,740,983,492,067,519,222,427,029,099,043,672,541,444,786,
666,299,893,268,589,849,309,552,211,500,612,977,674,250,815,314,823,724,451,
188,855,798,380,982,807,003,150,504,465,817,163,956,458,125,932,854,653,295,
805,466,728,439,096,101,286,571,703,387,699,524,757,234,607,120,467,686,132,
193,234,606,730,455,190,314,468,761,303,026,447,916,709,591,122,545,923,586,
342,294,913,426,451,749,861,256,645,095,886,955,816,396,455,820,397,704,433,
623,420,076,514,700,092,069,402,728,208,645,174,298,251,307,182,112,705,726,
426,599,611,795,643,104,705,234,332,200,612,636,475,086,683,998,437,247,918,
441,477,409,439,430,207,516,135,124,156,801,453,122,311,667,986,259,080,326,
149,172,610,102,885,454,204,713,027,135,183,222,126,105,474,553,712,983,628,
718,902,538,172,412,403,686,715,507,735,353,249,499,671,042,712,950,667,447,
265,444,322,364,332,435,859,556,073,373,153,509,086,546,099,303,746,422,465,
659,552,934,012,794,759,381,740,642,735,545,951,929,583,869,306,646,859,265,
381,563,016,379,404,931,914,267,175,309,220,741,566,527,540,912,099,909,931,
621,142,787,453,574,805,105,649,445,874,897,484,373,092,151,341,784,592,485,
583,189,833,795,927,515,747,079,189,613,368,645,776,315,241,762,987,663,778,
582,880,317,752,481,299,814,613,488,221,082,903,777,517,986,457,051,471,972,
709,914,652,007,808,580,944,868,257,924,097,803,302,146,217,140,499,471,947,
266,799,486,359,718,556,866,306,284,630,495,384,278,507,351,793,244,873,935,
469,377,771,560,378,645,210,459,517,327,518,892,344,245,036,543,258,701,781,
780,476,384,587,890,321,833,160,326,996,850,935,661,354,634,522,000,663,304,
729,610,043,017,636,153,144,263,512,668,096,915,424,510,583,223,340,070,978,
420,087,234,692,606,123,962,815,124,399,052,053,394,516,869,066,260,619,074,
010,499,498,490,175,035,139,449,220,808,540,583,669,856,014,589,150,023,648,
747,964,928,137,543,054,239,666,169,237,939,351,020,736,436,924,432,539,663,
188,791,570,865,751,733,343,144,166,890,299,063,282,584,647,959,562,903,681,
072,180,821,124,158,372,099,080,674,018,714,409,962,203,504,832,109,551,314,
598,787,595,299,342,775,485,905,851,826,895,373,265,472,872,563,640,458,143,
979,403,346,884,689,952,692,579,838,625,018,359,132,692,745,531,615,362,216,
927,242,327,824,240,678,762,523,108,691,110,246,672,400,457,645,520,245,436,
553,530,967,639,932,390,021,466,810,527,014,921,574,779,715,084,175,867,217,
011,604,062,435,039,578,038,753,451,720,179,965,145,763,411,363,116,793,963,
186,678,114,172,366,541,869,038,748,186,832,990,293,093,203,709,691,296,928,
135,228,648,400,615,739,466,083,736,454,625,500,594,286,153,312,001,549,846,
330,166,729,514,959,407,537,362,390,683,836,292,222,477,406,352,008,840,652,
758,379,040,393,389,761,711,986,900,159,009,987,092,309,434,436,023,558,296,
861,575,326,175,149,278,565,616,892,854,009,901,275,126,750,599,828,683,494,
191,655,427,567,092,273,209,375,435,843,940,053,724,472,378,036,831,822,868,
405,222,174,637,396,884,692,064,587,006,244,039,360,532,432,991,221,395,807,
089,805,937,350,342,324,793,340,568,743,029,089,763,431,607,635,279,314,550,
868,793,429,743,247,237,098,452,568,789,113,545,434,217,038,810,533,602,903,
260,721,925,768,006,216,918,957,771,782,852,861,379,077,529,657,247,289,255,
678,901,409,632,252,963,520,680,294,758,632,199,541,836,651,641,187,774,749,
203,150,813,680,308,223,102,896,360,335,128,805,827,405,101,452,949,496,492,
395,888,445,159,120,754,587,480,482,495,623,527,153,698,121,942,277,223,134,
293,002,628,799,807,500,474,787,520,888,303,384,695,032,938,701,454,603,265,
984,267,056,269,805,721,667,158,354,272,011,595,805,787,933,917,885,934,986,
303,647,700,829,477,287,060,163,456,534,123,989,393,600,000,014,312,431,535,
190,053,642,630,168,672,672,954,764,800,413,556,400,303,229,839,693,245,623,
174,489,075,157,198,708,612,138,942,458,222,914,837,603,660,383,155,661,571,
156,184,730,237,035,722,107,105,842,470,066,544,788,201,489,562,144,738,114,
961,297,078,049,334,089,054,437,388,175,521,804,092,589,151,810,223,969,773,
102,400,320,096,477,114,824,697,795,428,225,186,984,359,804,864,810,304,163,
415,534,794,713,209,231,893,010,122,368,326,704,891,120,357,594,616,599,546,
883,907,051,130,365,769,950,662,259,817,136,605,582,980,357,477,290,430,748,
890,652,364,542,527,568,714,547,479,291,335,853,201,148,270,386,453,344,278,
438,218,310,271,238,387,264,392,177,946,193,886,201,522,771,601,776,779,026,
494,935,352,588,219,233,115,154,086,740,901,405,954,450,823,470,476,075,602,
676,175,712,364,539,015,314,248,920,308,121,780,348,878,109,581,342,765,779,
218,884,922,186,376,123,483,397,834,769,425,072,886,715,055,347,859,094,693,
524,631,721,034,242,327,141,038,137,553,835,387,210,678,220,805,372,419,864,
239,409,986,806,554,877,917,628,801,053,813,763,787,415,638,491,203,833,023,
020,511,126,232,222,782,252,311,763,588,093,961,540,703,663,947,045,059,760,
038,994,963,068,889,932,464,494,913,115,245,040,974,717,480,685,060,291,182,
703,985,013,756,712,604,625,645,118,746,864,146,201,636,630,243,399,469,167,
987,205,604,578,373,563,600,363,470,727,905,263,132,907,739,553,776,469,994,
165,924,089,896,697,743,416,146,821,256,455,256,325,169,148,848,577,535,046,
061,424,702,245,306,590,280,293,209,180,478,432,749,694,770,129,884,172,243,
658,265,771,887,949,689,600,984,507,904,428,319,778,854,328,726,642,983,203,
110,739,241,946,484,020,967,415,518,373,752,266,456,092,472,499,062,337,741,
364,942,414,293,575,471,332,633,872,915,991,578,984,897,657,429,621,514,715,
809,107,442,022,436,153,557,542,564,450,107,360,607,726,881,848,009,202,058,
275,696,893,037,736,678,613,641,326,858,478,999,728,039,432,663,391,110,723,
208,133,544,512,228,501,784,156,131,957,404,647,832,797,611,889,469,097,513,
097,868,133,862,550,085,704,867,931,818,072,306,956,541,147,872,370,454,974,
942,608,801,330,209,044,943,517,559,880,093,629,991,524,966,544,937,866,543,
469,002,476,880,744,683,208,510,257,227,698,118,701,202,050,571,449,710,175,
427,228,093,245,096,647,303,878,264,980,388,787,323,512,498,046,719,539,258,
256,941,367,959,225,909,806,556,812,022,180,376,353,093,993,389,419,555,910,
891,324,880,083,094,791,871,170,472,469,534,364,919,207,338,800,128,805,418,
520,634,386,341,469,469,482,616,543,926,027,029,730,171,645,813,989,542,690,
966,003,316,176,186,059,736,710,352,536,220,668,713,646,790,536,061,667,060,
425,233,576,872,127,346,970,870,377,623,765,205,536,030,822,643,922,208,663,
619,777,083,107,373,465,482,254,291,829,206,536,238,678,792,862,850,839,500,
602,922,701,655,946,900,342,357,130,842,656,630,979,134,800,227,619,040,983,
094,285,105,761,617,584,958,144,562,721,862,764,415,130,714,837,639,147,709,
582,908,340,869,557,019,850,680,063,380,625,102,249,517,275,035,060,766,635,
146,302,956,159,124,083,743,404,935,105,728,499,957,873,798,591,691,029,622,
643,512,266,308,696,475,971,564,956,679,939,867,527,622,653,933,639,680,219,
845,243,661,325,742,174,763,936,182,945,379,455,796,829,448,131,190,148,540,
774,453,291,234,948,890,716,175,986,904,463,076,250,112,993,691,440,115,015,
905,252,128,269,021,923,301,059,401,179,534,149,947,768,689,074,409,894,992,
233,194,411,484,322,175,113,386,555,794,634,666,969,940,400,548,824,191,319,
494,339,855,596,555,780,259,441,652,430,317,187,501,253,511,755,856,417,300,
050,306,641,435,273,589,346,016,463,485,248,644,771,045,087,680,292,989,761,
061,639,949,307,941,714,292,250,120,889,227,440,378,000,352,815,482,201,791,
562,810,904,774,167,604,374,320,342,582,741,749,776,766,102,812,259,664,191,
903,157,944,107,685,333,701,059,005,293,808,642,987,639,607,898,656,692,940,
241,275,599,670,693,248,112,338,758,082,902,800,404,840,863,096,783,416,875,
199,430,172,341,197,565,598,107,732,434,081,792,251,732,972,905,645,781,870,
843,992,932,828,918,171,093,637,646,501,171,835,260,685,818,651,800,326,299,
606,740,825,904,263,816,148,155,123,694,776,307,663,551,395,576,179,160,786,
111,859,361,281,298,204,225,387,490,425,910,458,946,907,365,490,301,408,073,
454,317,732,356,335,861,640,721,578,705,408,682,663,865,307,072,146,252,241,
366,839,019,578,977,587,435,028,919,080,710,483,238,118,189,846,485,290,244,
159,034,293,143,296,469,410,254,121,604,544,990,910,439,724,149,637,681,604,
245,517,805,454,506,293,699,727,072,823,751,015,797,345,373,707,611,450,257,
890,568,757,510,260,737,567,509,213,555,122,509,525,011,547,546,790,772,824,
291,830,390,011,940,202,313,358,741,711,863,762,864,731,707,286,754,306,413,
069,610,551,846,355,213,143,610,520,847,731,254,758,398,690,915,952,914,380,
529,478,143,827,687,446,179,450,786,251,612,278,827,391,778,009,748,714,059,
930,274,554,525,234,097,196,823,829,119,223,427,092,808,800,943,188,191,068,
763,392,909,946,763,638,178,892,245,843,088,465,739,958,701,877,110,380,503,
473,476,280,765,062,836,139,583,507,158,579,220,688,974,161,301,211,542,528,
833,052,811,649,090,928,173,147,701,881,526,774,154,968,947,660,881,026,759,
220,258,024,032,560,080,040,875,977,966,998,800,586,709,646,173,451,536,619,
314,067,604,072,475,945,528,579,911,259,628,528,189,361,285,307,740,901,208,
451,796,853,915,294,983,652,534,067,014,587,325,688,027,956,199,904,662,386,
286,201,344,496,552,762,533,386,806,967,208,048,942,316,785,751,798,818,221,
203,448,596,905,344,689,852,187,995,978,563,607,926,223,297,765,505,821,442,
030,888,832,578,177,772,577,331,387,750,618,999,112,770,388,303,298,814,947,
742,685,252,534,892,270,121,138,421,364,633,778,368,323,819,771,112,865,122,
547,886,827,694,289,175,853,206,799,189,421,824,829,415,009,935,036,864,671,
397,462,174,183,971,406,956,963,141,188,936,863,117,523,975,741,410,650,042,
367,891,367,623,073,557,772,427,576,733,634,898,220,501,590,848,411,522,418,
191,142,247,422,140,351,525,962,916,316,236,668,108,889,028,477,052,887,938,
063,981,480,025,333,546,676,734,189,651,796,456,139,893,869,339,922,774,177,
648,751,127,646,458,649,097,404,989,038,163,773,315,914,303,500,163,432,840,
585,976,486,978,433,698,192,117,705,085,171,302,976,237,549,438,988,471,693,
654,006,842,534,056,082,194,661,004,488,684,046,544,145,531,261,241,091,756,
830,148,186,431,994,588,551,940,688,847,131,509,849,770,660,394,302,467,301,
844,450,251,422,811,034,449,390,962,328,295,072,094,419,985,057,333,536,586,
025,143,886,568,121,349,901,850,964,131,732,431,099,084,951,820,178,050,907,
100,380,558,345,206,797,632,708,078,137,262,268,646,411,942,420,285,377,940,
161,849,007,749,219,572,792,051,531,318,778,989,854,703,406,514,358,425,900,
392,223,615,718,818,533,697,976,284,353,114,279,182,774,504,074,877,959,854,
309,099,118,388,575,730,494,032,218,390,698,733,598,161,721,055,910,803,040,
577,935,891,985,753,082,197,648,361,247,657,563,945,537,951,597,141,648,663,
213,192,088,243,706,299,099,762,324,075,268,195,395,992,274,046,450,605,681,
737,698,340,290,486,897,990,195,038,549,074,498,697,676,355,283,950,402,357,
177,593,554,636,432,791,327,839,326,872,985,087,253,442,004,101,495,143,727,
061,429,501,549,560,784,911,384,566,506,522,285,155,526,055,912,402,900,478,
743,247,475,892,290,638,149,221,417,493,292,874,794,030,852,137,891,681,221,
796,433,194,794,416,200,224,534,671,802,764,148,984,851,466,626,107,191,460,
665,218,328,920,347,916,373,899,095,400,148,681,356,760,134,522,983,049,766,
921,098,517,140,089,559,490,611,611,891,307,701,398,162,210,367,907,261,027,
360,110,241,234,144,148,830,454,187,246,163,041,195,667,653,058,001,584,681,
826,036,022,306,951,026,066,847,675,055,073,800,254,177,271,755,678,591,979,
927,518,633,302,807,238,400,782,641,070,100,019,069,610,054,607,390,361,945,
577,470,348,737,289,456,120,922,208,938,822,580,458,821,578,154,879,312,822,
611,728,885,318,775,147,731,881,407,074,395,975,555,269,327,945,092,375,047,
224,467,561,972,834,924,078,245,233,991,848,584,877,175,589,834,112,139,221,
383,984,768,666,643,867,327,526,704,452,560,266,254,176,028,452,782,166,372,
450,181,951,654,532,509,422,114,566,261,459,483,798,803,999,535,868,672,063,
715,206,251,933,036,552,626,452,952,831,958,727,159,817,265,680,450,896,961,
335,373,123,204,966,083,111,707,926,477,941,815,259,328,677,206,005,759,125,
402,251,480,528,872,092,061,128,559,818,026,673,296,224,482,733,023,099,995,
067,969,625,563,571,521,076,644,712,228,190,143,272,501,598,866,727,938,388,
346,427,121,147,298,231,415,897,162,142,618,746,077,207,207,245,113,415,045,
471,200,791,034,058,543,294,652,823,929,170,235,579,261,806,927,792,775,923,
759,573,857,880,713,565,879,505,112,246,996,886,659,805,768,863,879,429,515,
159,552,922,668,488,954,823,597,679,612,200,029,017,232,726,718,356,831,390,
913,900,116,678,673,970,746,034,856,043,638,419,665,017,409,968,915,251,835,
403,365,707,230,539,406,443,491,304,348,833,819,413,183,085,229,612,713,239,
541,735,911,868,705,381,623,071,158,929,098,396,872,770,819,554,952,118,513,
778,722,655,984,861,605,946,956,862,564,616,883,292,947,988,534,063,109,008,
704,916,102,992,290,701,572,829,401,111,144,589,113,884,541,120,847,541,956,
575,348,449,823,011,622,955,137,154,778,569,731,819,187,272,820,101,253,551,
059,225,027,749,926,660,842,329,074,874,703,955,764,395,278,201,655,287,809,
800,994,406,595,273,803,498,670,478,903,578,132,273,793,898,659,115,048,626,
476,545,082,008,954,530,864,933,870,997,491,684,595,759,640,888,953,623,052,
625,658,306,408,300,239,616,688,253,382,647,037,107,838,468,852,333,305,043,
572,678,904,112,252,639,568,652,345,662,315,415,389,668,705,157,035,588,013,
054,294,248,443,736,180,494,725,512,931,474,139,992,054,167,349,706,813,572,
311,262,376,077,316,398,334,072,936,280,374,431,672,301,922,898,421,920,407,
873,870,822,601,046,032,819,604,031,762,336,369,881,276,907,846,040,070,681,
112,681,936,194,025,837,529,235,055,892,034,045,877,194,422,470,940,130,814,
814,721,055,581,702,596,589,878,273,808,077,135,967,380,035,777,836,350,966,
959,105,221,896,458,674,440,107,782,503,767,725,137,815,428,820,346,439,893,
017,914,561,323,265,415,986,843,949,948,755,882,041,198,063,131,854,296,712,
276,637,662,978,167,286,521,901,428,767,201,834,071,104,291,495,372,933,280,
433,565,813,092,842,085,369,094,379,336,032,915,315,550,294,697,944,202,574,
104,657,759,315,276,975,202,084,437,887,664,670,240,986,794,499,146,763,913,
694,863,828,057,861,163,601,892,783,703,259,153,358,449,585,231,329,381,616,
412,173,229,935,176,928,133,617,965,386,065,219,271,233,571,750,312,767,323,
803,450,648,431,260,331,676,554,759,305,545,615,221,953,850,017,604,041,468,
775,685,253,743,504,652,195,586,648,970,333,244,116,658,070,246,134,378,661,
461,327,653,971,423,270,105,585,032,392,848,344,248,693,941,416,139,071,794,
754,613,114,804,564,121,144,979,212,858,058,537,397,687,421,796,795,847,984,
300,500,838,092,357,739,252,657,633,837,846,672,893,318,653,345,484,634,158,
651,811,325,610,031,993,951,369,989,570,329,191,193,939,444,326,490,890,426,
369,980,422,895,184,448,772,715,419,929,918,201,461,688,563,174,070,177,551,
084,261,345,380,047,947,853,557,669,143,911,003,910,398,794,566,803,749,090,
623,011,762,829,069,622,081,610,412,823,099,634,652,746,683,724,184,551,734,
401,236,049,995,651,653,865,233,514,082,449,090,262,591,306,610,331,727,155,
878,686,358,539,364,639,170,459,727,629,719,690,906,904,488,293,640,749,071,
886,419,811,289,714,105,932,196,680,794,650,077,446,708,358,505,139,439,228,
475,139,329,878,800,043,606,722,974,015,826,363,915,252,239,615,509,236,906,
451,636,542,883,450,102,336,527,439,459,627,699,985,778,095,478,649,026,450,
532,665,377,627,173,145,338,673,928,181,157,946,292,122,354,898,417,911,600,
397,483,038,367,898,231,301,375,313,377,802,578,745,295,633,896,201,205,412,
922,826,496,411,143,963,207,847,389,900,825,490,639,139,122,835,715,784,517,
634,671,320,329,151,928,693,173,907,511,501,824,683,204,988,434,851,780,249,
691,090,960,433,897,440,558,223,971,502,266,112,227,643,317,041,788,231,481,
531,993,768,801,634,821,754,176,813,357,555,245,663,036,467,803,949,179,879,
751,663,624,131,694,994,300,733,311,488,986,702,392,779,717,069,738,112,245,
358,933,662,123,100,817,263,788,899,374,292,426,215,453,423,413,563,985,847,
698,338,767,651,364,034,969,410,575,606,886,306,762,081,538,972,219,919,814,
130,564,842,976,259,753,175,144,434,023,644,684,679,043,236,268,027,477,246,
563,209,518,290,280,817,834,492,606,026,830,877,294,333,932,382,783,715,437,
358,713,976,641,034,149,850,756,120,733,198,717,102,054,609,803,889,893,517,
154,207,027,141,779,886,272,516,263,547,508,406,532,298,481,325,928,016,523,
040,111,049,277,053,739,169,520,225,240,439,351,016,587,419,606,033,622,219,
347,553,877,571,055,559,081,427,474,095,708,341,622,960,478,159,338,599,712,
530,638,951,603,593,191,299,807,322,760,666,365,023,475,498,544,110,573,734,
110,125,468,029,798,236,890,512,711,166,605,203,140,176,775,704,983,206,434,
309,473,413,151,683,833,269,070,219,499,692,249,721,979,070,622,857,531,395,
816,008,138,440,947,849,975,898,115,174,474,231,301,602,238,847,699,078,570,
843,828,186,378,808,568,128,424,469,671,046,592,414,899,970,934,400,623,241,
549,651,406,928,368,238,485,065,038,620,170,229,071,439,123,767,570,731,060,
797,202,509,580,314,552,188,559,357,902,740,555,769,059,901,192,838,078,156,
816,163,344,667,402,524,843,197,953,508,031,536,352,527,916,384,846,726,787,
570,395,277,759,147,188,486,108,298,118,536,044,474,749,962,538,297,982,094,
075,287,201,684,336,765,946,406,121,025,248,712,136,531,535,415,793,143,522,
657,188,150,756,817,616,926,360,349,407,155,127,455,881,526,348,565,953,217,
408,239,020,927,627,902,817,096,504,029,497,660,662,593,416,822,677,678,353,
893,336,977,932,127,047,733,862,593,134,491,785,599,451,039,509,417,501,401,
153,057,869,319,702,205,075,480,867,586,099,631,690,837,047,298,461,888,451,
610,507,518,103,299,221,993,952,890,222,565,525,219,441,119,113,492,692,101,
126,631,095,812,507,642,391,476,778,828,399,547,148,730,115,004,546,649,943,
130,738,815,285,375,243,158,782,054,086,997,645,750,959,781,033,063,441,841,
927,488,237,175,153,467,452,002,550,286,185,825,336,062,688,712,363,382,053,
353,146,385,298,536,140,697,171,610,864,392,396,425,272,955,300,390,475,212,
944,174,714,110,925,361,205,018,224,165,394,699,340,922,322,880,967,920,018,
616,937,530,326,045,257,125,061,154,049,108,527,242,580,183,280,956,948,659,
116,061,542,981,168,587,376,383,067,881,018,961,907,152,898,990,709,538,131,
624,435,509,507,344,010,017,192,388,695,609,135,426,138,769,426,374,637,463,
103,900,000,214,548,209,073,301,182,701,855,082,625,638,169,221,274,831,365,
716,528,472,561,363,575,689,094,740,434,897,972,959,126,280,927,111,284,017,
979,413,488,034,224,502,363,819,410,492,576,436,655,658,645,716,298,272,121,
251,888,191,596,897,253,814,282,215,107,214,999,892,147,588,523,809,767,528,
595,186,419,069,350,553,975,746,216,174,269,711,530,171,619,547,508,890,569,
737,015,473,145,850,829,832,263,267,345,289,476,759,231,063,880,298,406,723,
913,001,794,353,338,627,350,322,698,628,073,462,577,103,751,271,932,189,432,
225,726,509,531,092,014,430,933,822,724,141,987,610,209,556,853,237,746,441,
879,977,740,236,515,352,242,784,662,958,016,490,377,200,440,519,711,777,154,
701,680,879,290,316,553,293,048,235,927,903,144,593,391,492,357,860,375,342,
017,740,371,481,321,618,258,855,982,819,109,383,246,904,691,805,339,793,938,
855,274,426,568,441,131,126,993,190,488,266,796,749,695,505,816,110,373,671,
590,287,113,501,811,982,461,863,564,481,356,362,713,526,826,009,063,540,689,
962,079,596,470,232,976,310,757,640,215,511,686,897,399,416,311,975,708,170,
353,429,050,390,650,617,953,994,705,478,496,038,386,776,671,262,145,062,107,
927,618,175,484,253,672,991,039,059,243,173,214,165,581,213,322,632,430,961,
442,114,063,430,962,191,419,976,713,441,460,142,778,235,179,828,143,408,081,
728,177,279,539,185,595,817,848,637,301,404,376,792,906,318,757,806,311,317,
581,158,157,587,376,231,217,747,207,318,583,976,517,563,879,532,806,754,338,
564,333,847,081,116,778,348,884,399,163,720,270,649,539,244,806,789,126,611,
644,933,631,925,403,532,039,664,473,380,520,357,114,355,239,216,604,621,257,
478,787,631,202,818,113,726,182,459,485,986,475,578,176,958,954,745,068,432,
645,708,585,428,516,130,149,556,862,874,589,600,015,596,268,776,011,401,923,
944,925,246,751,079,846,286,493,383,975,583,606,017,201,603,739,468,426,694,
700,912,274,608,964,616,777,386,182,573,907,196,990,608,257,243,435,159,382,
914,875,735,927,151,032,924,872,432,632,668,460,960,961,993,253,550,441,739,
949,491,383,283,914,418,665,710,939,024,110,596,544,530,604,337,280,789,509,
272,096,503,324,991,218,185,576,022,462,492,424,282,414,647,243,205,434,913,
861,162,900,728,026,442,623,533,703,553,235,154,410,106,703,441,021,923,721,
160,084,438,152,119,595,651,079,382,652,745,938,938,660,210,786,036,881,832,
483,341,078,903,526,866,483,627,633,383,450,410,587,023,788,546,866,697,174,
317,334,055,454,691,276,342,870,582,582,482,443,517,301,979,433,517,553,259,
288,724,337,314,471,249,559,912,847,271,871,923,706,531,975,446,512,360,369,
733,049,052,448,703,242,344,363,156,739,552,475,495,087,952,054,722,138,032,
233,201,655,743,356,884,896,756,866,177,465,368,767,503,261,918,219,477,064,
973,199,346,127,010,322,729,250,726,229,525,693,400,999,796,679,368,206,950,
707,411,503,160,991,799,975,864,673,684,198,917,174,480,886,931,256,608,243,
170,634,625,981,375,992,180,578,916,804,727,376,799,598,439,481,178,408,466,
542,024,006,215,849,093,069,725,031,936,765,417,010,315,723,798,869,329,749,
409,153,213,133,320,888,633,855,304,384,458,160,513,413,547,985,370,162,180,
339,610,461,028,823,357,744,756,030,264,354,339,072,312,425,023,558,622,210,
658,345,384,838,792,577,812,673,449,869,887,199,059,722,620,013,496,466,796,
868,746,662,658,123,183,094,780,822,574,319,866,186,666,938,170,971,123,462,
291,155,122,454,610,781,256,348,703,793,278,654,902,540,384,221,596,290,090,
764,024,956,014,111,917,417,213,690,275,956,697,222,988,280,437,627,668,733,
814,006,641,804,748,242,082,309,085,522,764,367,491,117,332,375,574,600,344,
146,166,293,852,395,948,692,975,987,999,691,501,137,253,592,986,423,764,802,
093,292,125,640,231,708,569,518,139,452,960,298,843,961,482,279,055,083,129,
044,323,888,330,143,242,003,323,103,354,834,809,186,969,491,913,118,367,267,
753,548,913,407,131,469,722,550,739,560,275,782,137,788,097,827,454,400,505,
491,488,933,317,507,164,776,156,399,340,706,599,354,719,999,174,836,464,325,
515,411,275,660,628,563,122,120,377,807,854,291,287,631,322,434,248,021,437,
127,800,293,889,488,072,987,048,091,999,323,554,710,990,468,886,868,792,195,
084,413,616,136,270,584,496,664,081,159,289,437,664,235,170,060,198,810,963,
184,869,568,792,897,860,724,073,062,390,437,309,981,766,316,559,492,014,174,
489,588,358,130,044,660,990,348,035,224,121,435,173,360,280,248,518,823,615,
432,023,513,359,474,625,533,763,267,589,418,969,069,095,593,019,476,455,402,
542,310,105,233,141,465,215,516,287,875,884,496,573,892,706,922,580,339,704,
773,456,245,153,470,183,388,655,591,924,706,316,984,129,304,866,960,530,246,
207,487,295,383,097,469,996,133,629,537,732,542,524,258,493,823,045,784,825,
849,014,804,642,458,637,233,487,453,534,001,221,439,205,293,172,837,662,725,
980,238,319,325,926,853,420,836,812,274,656,431,842,712,424,721,963,050,007,
734,241,705,760,996,580,680,403,072,196,310,650,306,609,432,995,232,623,378,
431,634,282,373,237,459,197,455,470,772,849,448,112,511,994,817,994,990,968,
475,003,740,006,737,114,009,135,926,429,360,297,638,105,963,941,737,325,431,
780,720,741,129,543,481,922,460,879,661,309,232,175,492,367,217,729,708,133,
389,457,270,380,482,702,328,427,442,515,118,867,693,508,229,123,096,568,223,
602,159,632,411,316,691,120,927,090,381,824,746,930,456,653,017,967,805,453,
933,919,504,316,019,251,265,006,450,138,969,116,973,927,293,623,721,211,161,
999,032,098,623,938,589,146,105,879,431,272,250,023,108,589,489,510,184,770,
703,222,215,872,256,631,698,456,154,644,922,133,301,202,089,029,519,402,083,
328,851,403,924,183,213,392,087,539,767,627,708,208,459,858,434,043,342,992,
614,397,418,717,378,376,716,817,112,382,770,429,034,441,233,339,970,970,210,
995,655,761,998,305,213,767,789,048,860,179,506,029,024,733,224,429,522,255,
457,635,256,219,259,823,286,641,691,952,237,540,843,406,154,696,037,579,620,
826,255,261,544,168,296,344,944,543,301,443,138,448,110,238,129,591,527,241,
058,233,647,707,656,596,760,192,989,559,746,487,587,501,693,055,271,500,253,
808,264,701,155,915,848,512,029,513,511,711,582,440,840,558,915,241,813,374,
179,936,813,083,688,201,905,033,331,620,855,099,419,794,284,713,029,422,919,
402,361,894,666,399,709,843,873,567,472,548,865,359,401,395,761,155,674,027,
131,236,081,772,367,005,974,051,367,156,792,660,304,499,196,746,922,681,411,
784,723,101,959,989,887,407,413,499,202,675,379,230,665,116,169,769,025,393,
587,864,420,457,619,559,738,803,081,062,950,002,976,699,797,926,463,026,780,
421,382,106,323,492,426,401,087,562,722,918,987,036,746,016,254,871,689,058,
243,687,113,653,980,051,851,768,617,468,640,381,776,236,747,858,225,671,916,
930,813,759,218,244,563,217,273,823,911,573,541,411,326,427,246,470,649,784,
966,452,482,236,951,487,459,235,566,746,490,284,522,212,050,054,033,789,777,
486,718,906,255,905,814,106,369,741,582,749,611,438,189,189,999,927,998,610,
458,323,897,614,578,988,722,513,788,019,825,553,622,808,935,976,629,278,960,
478,647,717,066,329,771,572,102,009,340,210,971,094,598,381,937,719,171,527,
762,641,894,725,894,628,519,130,606,263,224,626,095,494,133,063,013,084,631,
182,592,970,128,424,182,606,367,522,255,730,720,281,631,904,303,334,184,918,
767,919,265,500,510,199,495,866,149,135,738,623,853,298,585,954,068,751,171,
712,620,569,455,266,737,189,304,287,224,267,129,165,222,768,895,660,663,527,
753,661,783,617,856,478,772,176,467,698,531,330,275,685,216,861,868,087,136,
806,794,050,470,026,382,310,167,899,573,048,702,782,307,944,242,996,970,977,
689,165,096,749,712,139,390,595,609,649,414,202,704,072,051,156,139,427,776,
124,477,854,640,926,140,769,519,142,474,246,792,710,724,395,048,091,374,741,
448,731,324,964,494,138,734,359,840,070,337,566,356,267,412,028,131,730,276,
653,108,596,724,397,873,618,774,011,994,543,762,412,835,389,073,803,961,306,
536,250,143,919,895,704,989,700,080,678,611,873,159,983,014,266,237,450,036,
937,211,184,761,534,795,017,918,134,642,612,618,213,596,765,222,083,544,350,
968,567,835,382,141,411,690,917,388,190,318,080,386,230,955,416,741,554,572,
799,927,768,902,461,558,478,023,205,137,672,031,037,550,692,520,376,908,006,
011,789,304,822,481,092,257,502,176,184,121,735,859,865,145,512,046,694,077,
777,074,445,246,346,215,002,337,213,162,728,771,381,515,714,911,131,010,762,
590,042,682,813,009,572,688,895,403,527,996,804,992,572,278,876,214,998,810,
965,160,327,429,106,211,707,321,862,939,618,796,248,841,804,755,963,607,233,
003,014,087,411,698,818,559,668,201,123,884,676,562,323,845,300,483,154,938,
295,371,651,102,886,645,577,055,894,152,048,404,626,500,422,564,699,622,444,
156,249,484,340,548,991,115,527,250,988,716,829,234,077,158,230,363,705,440,
100,106,278,971,018,865,979,915,752,851,393,813,553,554,346,827,338,617,824,
585,408,520,024,578,257,612,889,091,214,759,538,232,485,892,084,774,316,683,
661,765,969,285,721,503,382,655,023,596,442,665,760,913,292,531,811,383,011,
084,784,435,344,772,329,663,810,383,089,083,234,181,247,903,794,408,425,729,
440,806,638,377,856,371,937,357,031,418,888,716,733,841,641,241,659,019,700,
273,788,861,261,858,048,143,955,792,681,653,841,669,247,611,816,449,762,363,
136,188,194,462,748,187,498,215,165,167,152,767,859,340,920,129,075,973,543,
065,511,452,106,604,912,985,466,701,831,649,912,594,323,656,266,441,742,118,
265,513,135,585,256,762,491,251,729,111,074,052,208,641,518,888,692,383,117,
422,867,719,509,484,817,246,078,824,870,103,460,841,707,316,628,357,486,097,
314,296,372,324,650,702,960,846,003,302,303,181,028,250,928,350,374,088,599,
663,909,209,499,275,433,423,257,371,517,494,924,681,090,327,521,364,944,652,
850,227,768,520,966,006,344,575,933,826,131,786,452,121,022,507,326,754,719,
869,610,928,816,701,634,606,456,718,251,817,232,232,724,862,817,205,666,804,
204,686,239,341,770,636,668,084,028,019,573,805,133,921,229,811,292,369,302,
374,549,747,582,599,966,484,604,145,555,065,683,354,230,338,744,664,177,469,
609,863,849,934,354,674,791,719,191,867,222,188,659,842,522,263,992,711,450,
333,094,498,419,913,203,892,204,274,615,256,545,898,633,985,893,089,600,009,
609,993,942,839,337,643,703,341,821,165,472,084,263,937,914,707,002,475,481,
799,618,026,814,790,228,811,292,627,289,367,153,361,304,034,289,580,209,869,
904,823,948,497,956,243,452,143,212,095,058,906,153,920,000,929,529,303,270,
865,538,983,008,178,504,271,063,689,996,773,688,286,663,189,043,092,499,033,
563,398,831,170,214,468,537,889,243,216,585,793,316,025,108,095,779,702,494,
223,686,038,987,573,868,678,735,765,357,738,724,934,609,856,409,075,035,520,
845,923,764,109,860,835,675,348,583,379,885,447,025,461,023,549,006,247,484,
150,548,152,322,768,987,904,003,705,416,272,815,632,512,370,703,559,005,270,
943,468,361,185,419,073,492,310,163,811,877,993,625,935,710,882,765,225,960,
326,595,816,239,470,716,552,475,102,175,155,244,536,067,133,660,696,485,509,
509,910,183,688,853,969,513,287,876,469,626,426,828,745,992,402,516,862,423,
645,555,576,729,691,969,166,403,476,475,258,276,111,208,966,213,004,148,933,
778,708,884,923,380,992,616,115,142,396,770,859,050,277,841,238,286,645,038,
781,897,658,426,220,446,373,060,165,302,520,913,735,333,386,251,053,850,318,
998,364,574,368,680,309,702,510,187,208,737,288,608,145,732,795,243,810,138,
489,091,600,293,003,469,443,673,483,930,750,381,235,935,235,100,489,385,756,
714,180,395,415,770,587,818,676,465,113,499,977,921,912,170,690,677,156,100,
970,619,178,063,908,868,585,983,629,617,314,619,409,929,581,798,754,557,902,
867,009,421,786,169,965,437,598,937,482,388,696,208,009,063,104,859,183,059,
578,193,031,519,577,882,856,892,308,439,440,675,120,132,157,281,943,449,635,
727,876,354,555,714,026,046,965,843,362,070,627,730,653,172,043,618,528,677,
424,397,919,175,523,606,368,090,845,791,271,386,498,839,485,665,732,792,821,
256,710,440,483,988,948,683,890,572,261,009,722,685,877,236,549,624,507,344,
993,578,860,380,889,506,611,059,445,794,485,218,673,179,882,218,592,038,321,
646,796,636,225,930,248,382,553,898,096,224,859,839,074,738,053,344,215,204,
355,746,498,136,652,046,967,693,076,835,868,797,233,510,773,726,231,314,670,
092,491,080,828,331,715,242,014,490,654,471,506,555,324,703,007,138,029,114,
218,516,256,173,186,989,184,666,450,905,714,882,893,901,633,729,740,693,272,
002,427,828,735,989,915,901,900,576,207,637,803,556,116,048,912,612,909,684,
872,344,789,163,176,915,688,844,848,598,220,710,012,445,438,818,939,422,186,
057,597,690,126,994,803,471,994,768,080,652,997,640,023,083,423,831,202,050,
392,118,353,135,727,079,965,337,561,691,778,258,667,114,652,970,424,919,041,
003,831,431,890,168,485,157,411,774,426,448,055,506,036,147,626,275,842,228,
441,965,435,446,606,321,886,120,792,806,309,503,865,901,517,548,825,246,686,
743,940,691,110,004,710,253,742,862,247,969,842,796,126,364,537,502,969,131,
962,867,036,012,661,548,364,983,585,778,244,622,910,850,405,254,084,668,088,
216,389,263,910,588,354,673,715,634,640,620,613,280,116,458,754,070,395,188,
379,268,807,838,401,614,665,796,106,050,948,492,276,630,421,254,484,563,386,
544,468,548,642,276,180,107,644,411,499,828,342,110,732,391,573,574,539,692,
706,639,069,128,264,951,518,230,642,039,095,145,255,624,773,667,856,374,887,
841,653,820,682,396,811,541,443,205,941,293,910,732,008,199,331,569,503,976,
947,123,804,095,850,216,900,696,964,405,609,824,374,214,037,578,853,648,093,
833,955,492,852,361,989,381,787,643,216,330,454,050,739,456,132,217,028,071,
753,441,172,019,385,694,235,462,870,706,442,799,398,257,213,306,598,310,825,
222,561,230,017,649,110,435,888,624,307,674,264,898,416,152,756,590,786,030,
176,771,139,218,910,216,082,648,661,952,470,804,090,071,628,397,435,521,392,
286,674,058,793,451,158,441,599,142,181,590,533,178,831,876,467,771,907,357,
841,174,581,297,696,874,503,507,279,659,376,675,555,821,636,665,756,809,156,
432,950,649,105,437,537,798,366,436,858,321,322,433,282,843,142,376,167,679,
303,448,671,337,712,815,922,371,614,991,895,754,557,897,428,523,806,628,406,
418,644,179,841,766,857,341,266,387,720,791,655,144,377,122,045,465,160,263,
296,518,284,585,671,270,844,987,463,782,186,807,790,449,826,735,526,509,003,
382,170,904,338,380,510,374,770,239,301,175,172,423,319,037,665,029,106,167,
016,475,610,831,667,585,994,366,484,778,991,067,179,576,035,973,053,605,913,
268,688,470,232,306,078,595,544,676,872,793,385,609,704,030,542,689,034,699,
896,098,339,328,282,549,544,083,563,913,777,950,668,148,426,868,764,151,356,
997,874,275,761,500,293,540,311,485,097,145,431,505,002,830,507,642,758,565,
988,054,210,620,747,013,465,842,584,599,919,750,509,585,112,043,183,865,082,
547,423,912,997,340,355,303,584,097,318,388,034,550,773,694,981,512,565,761,
668,869,148,842,086,451,245,290,526,508,889,440,141,771,118,689,159,675,138,
935,244,097,251,812,713,146,988,087,853,401,176,668,880,722,393,141,978,738,
606,153,235,533,589,227,219,099,046,931,454,997,686,749,281,453,725,572,334,
592,468,143,711,672,019,106,781,451,183,842,820,874,710,557,450,428,213,745,
387,008,705,608,798,229,804,704,947,547,004,174,376,231,802,521,793,763,687,
319,426,836,699,467,022,242,404,992,043,747,717,545,516,748,084,880,596,960,
349,287,653,859,120,433,314,180,950,044,985,932,693,697,245,307,534,894,028,
343,705,574,484,104,844,095,737,446,723,894,757,901,439,923,846,460,331,078,
440,621,534,055,734,742,049,852,161,202,897,085,554,998,896,653,164,409,191,
697,792,614,408,606,125,540,624,045,467,206,979,859,334,876,422,031,454,807,
883,923,020,643,675,092,991,781,836,446,683,907,464,818,188,025,771,860,779,
758,007,899,584,843,835,268,030,327,402,968,695,842,747,895,466,723,619,496,
118,676,506,484,627,343,775,272,863,381,421,186,401,467,793,682,011,437,672,
272,390,210,267,437,268,181,271,304,015,089,403,881,213,358,342,512,516,087,
069,506,519,468,021,382,442,625,186,697,106,418,326,019,457,727,145,333,699,
789,237,381,233,233,453,457,367,969,108,857,995,237,970,552,740,937,625,293,
234,891,471,040,753,819,736,380,268,981,110,212,170,301,844,266,624,489,991,
801,483,640,137,859,084,325,463,780,565,337,633,923,627,857,380,962,339,301,
955,724,502,973,594,738,754,472,312,023,856,817,175,851,734,627,707,502,355,
941,403,152,456,844,309,106,880,312,438,379,569,690,137,996,180,599,804,096,
138,523,897,527,230,728,134,222,235,635,867,134,095,746,773,588,721,877,103,
957,987,692,741,762,922,633,405,610,485,020,150,345,079,688,065,496,593,616,
554,574,113,671,087,356,070,101,373,160,289,702,458,146,113,425,477,839,635,
439,145,703,481,950,300,254,364,604,962,850,718,761,849,520,685,069,192,041,
314,528,818,286,515,954,252,080,999,399,569,807,594,230,511,921,682,076,333,
383,082,652,476,607,444,880,967,525,442,102,935,152,114,422,268,812,283,939,
422,681,123,562,343,604,900,204,594,453,679,572,717,020,908,318,342,960,665,
217,121,352,748,216,338,681,390,058,389,841,372,496,044,832,652,860,345,041,
142,800,547,198,521,588,221,416,208,573,376,167,620,039,105,030,679,788,959,
378,804,651,731,904,540,399,931,613,182,525,279,044,159,208,552,317,055,294,
140,388,260,774,963,841,581,089,364,265,503,589,198,461,311,241,962,359,282,
277,569,349,404,450,352,639,496,849,791,858,515,568,875,881,146,251,788,233,
153,056,095,032,787,421,178,203,995,399,171,353,634,902,629,709,297,785,399,
950,537,305,092,981,189,044,188,356,704,382,777,824,360,423,357,832,393,854,
658,734,073,531,727,502,688,396,966,532,268,705,343,574,477,504,500,238,953,
487,243,275,592,713,107,186,720,610,732,790,992,153,908,294,142,734,240,591,
191,705,837,529,882,051,467,533,920,250,604,809,326,360,303,011,347,818,967,
227,586,600,557,679,078,515,214,471,495,680,887,849,384,729,532,893,480,619,
005,093,973,104,938,914,071,598,372,191,874,294,260,359,717,480,459,140,389,
821,621,976,777,913,133,651,493,767,045,023,328,862,327,979,683,138,719,084,
026,509,716,461,068,152,691,071,910,440,228,031,920,541,556,470,845,903,930,
829,314,905,096,291,097,696,727,625,979,515,402,789,053,697,580,874,914,360,
281,686,539,959,140,085,938,836,174,025,346,475,150,919,731,438,542,421,999,
185,508,864,845,661,183,438,054,757,946,817,149,066,291,355,233,227,503,668,
369,526,884,880,163,736,383,437,963,565,981,235,616,243,855,065,538,844,523,
370,984,171,878,514,763,631,680,297,937,542,333,487,461,524,782,159,422,576,
017,331,949,308,029,898,529,631,501,889,394,081,241,936,798,025,205,265,700,
121,622,982,217,990,880,159,159,771,268,776,072,613,661,329,308,930,277,955,
243,632,660,135,191,533,888,720,971,492,107,717,011,769,709,897,797,860,964,
230,838,216,622,231,909,259,107,536,776,381,050,059,126,667,294,266,279,204,
192,070,869,791,178,698,942,059,201,689,506,373,450,704,391,715,276,938,471,
096,315,791,896,974,985,050,157,195,611,632,817,090,846,523,620,101,468,517,
152,470,596,095,712,943,498,455,810,813,279,216,932,231,680,044,595,441,513,
583,229,655,897,411,307,153,133,639,463,212,856,164,542,950,440,657,217,813,
484,397,589,142,259,625,477,320,862,149,791,621,134,458,213,012,247,845,403,
423,899,936,548,242,962,033,964,601,467,256,641,530,872,906,245,628,778,392,
043,262,085,635,421,552,040,748,177,249,062,129,014,548,449,642,026,651,053,
062,580,035,830,927,583,961,487,507,055,620,211,889,164,114,406,270,058,783,
691,861,282,777,541,918,181,737,062,459,543,514,900,604,457,529,048,627,037,
447,388,336,827,476,751,521,344,448,565,088,558,719,976,665,280,800,199,195,
134,535,706,577,646,206,997,448,213,840,220,071,092,648,405,612,179,249,249,
499,619,118,503,563,370,418,196,024,030,950,726,569,006,993,011,883,787,231,
854,816,835,502,617,876,972,542,780,390,451,476,603,955,945,933,601,029,222,
069,726,093,283,796,790,870,865,947,543,096,812,774,170,253,845,647,697,288,
199,585,877,591,262,508,387,297,707,825,380,621,374,926,941,458,771,246,385,
113,941,434,142,010,665,737,082,693,673,141,460,962,356,673,252,469,062,070,
792,754,339,567,720,406,944,526,962,789,142,712,845,635,803,333,954,778,831,
417,368,607,091,981,366,598,111,125,138,476,753,483,988,787,586,221,303,474,
360,078,284,009,238,014,202,002,190,685,101,568,268,069,129,805,517,355,413,
917,535,282,305,401,877,540,564,141,376,123,431,423,084,845,419,008,128,572,
495,094,570,296,689,518,957,616,956,511,744,720,217,034,281,630,442,771,815,
331,006,976,298,619,336,757,346,687,004,831,873,840,060,606,655,153,471,205,
086,433,369,575,688,132,859,011,298,033,184,307,474,474,159,786,512,573,597,
552,998,835,972,837,082,222,401,468,427,846,961,780,741,036,743,479,348,224,
607,734,719,954,737,727,225,116,918,643,657,379,502,131,830,646,772,264,890,
832,611,997,157,757,823,176,925,163,128,545,249,307,687,755,455,329,141,388,
536,962,639,291,810,977,652,599,327,322,647,204,807,764,717,636,123,248,098,
902,745,993,645,633,729,868,898,530,292,148,487,067,372,417,353,483,973,271,
916,426,741,822,674,213,506,134,759,632,700,909,088,122,708,536,852,534,236,
418,294,388,691,581,308,175,991,361,952,103,084,154,146,311,966,173,105,643,
017,092,487,631,978,959,167,582,486,876,738,325,989,540,265,658,745,835,193,
634,552,714,813,291,911,210,754,066,906,663,571,298,015,442,973,727,529,713,
357,109,853,591,724,335,157,357,972,693,520,259,158,301,624,613,331,918,397,
309,989,315,730,059,217,403,294,353,820,677,645,707,142,872,496,421,601,957,
413,133,703,478,693,071,910,615,241,399,605,443,454,298,246,990,017,320,671,
374,627,279,612,792,691,782,623,729,989,738,163,522,458,665,424,061,792,257,
906,682,288,424,599,483,685,533,654,494,303,472,150,603,504,143,679,180,113,
247,833,993,312,150,182,238,908,590,759,343,140,534,728,799,319,377,014,667,
357,032,873,941,152,683,375,169,879,357,337,329,762,413,491,632,882,274,869,
476,636,092,234,622,626,686,652,993,533,876,785,103,967,242,304,975,317,036,
862,605,235,142,076,331,503,127,198,740,481,747,389,466,722,398,748,148,415,
584,309,277,653,337,690,497,844,320,321,743,424,207,692,846,857,526,911,127,
420,752,513,273,800,824,512,516,805,593,895,683,409,282,723,028,102,718,519,
365,430,083,996,432,097,572,069,750,556,014,400,345,747,921,689,306,419,642,
218,686,634,005,661,018,742,819,050,220,988,023,249,246,720,147,818,664,171,
938,414,115,665,795,422,920,917,467,529,051,061,559,105,965,525,388,616,638,
298,565,383,925,976,737,905,105,267,544,319,713,268,220,398,697,977,948,046,
843,290,653,745,887,455,050,477,028,715,583,027,127,763,363,699,967,805,015,
840,108,689,589,841,817,730,294,827,546,579,138,095,392,369,080,465,519,386,
582,969,793,034,040,213,765,546,344,462,375,316,352,968,368,904,914,829,748,
445,832,977,419,312,485,012,085,690,137,183,183,421,216,640,979,434,246,086,
199,979,244,200,581,447,041,135,663,459,577,160,226,941,354,559,793,834,944,
987,492,551,732,686,473,187,361,629,299,036,422,561,944,284,946,039,328,338,
028,344,047,334,144,893,571,640,002,522,689,916,147,798,289,613,200,457,241,
718,365,536,941,395,149,444,268,422,388,740,476,239,289,548,311,029,063,617,
198,135,456,288,953,662,486,824,823,948,521,034,626,175,092,699,779,346,033,
674,473,710,965,800,775,677,895,414,951,078,515,054,981,564,980,044,508,962,
158,281,662,182,766,239,746,613,527,806,793,679,571,684,160,605,549,484,390,
394,284,139,788,014,734,281,713,016,451,153,274,419,852,446,406,002,881,800,
308,666,537,011,625,754,267,756,545,722,139,606,411,474,741,680,554,760,916,
249,189,514,848,502,031,145,883,710,604,695,980,831,374,373,852,895,765,676,
074,119,134,975,614,263,364,155,187,930,367,629,463,793,999,453,686,107,068,
321,002,567,867,527,804,008,399,440,765,644,535,735,631,197,768,483,751,333,
387,372,868,614,787,883,854,505,925,314,192,719,732,016,553,274,571,401,173,
755,361,815,604,914,599,930,768,412,336,574,039,565,679,698,662,316,397,803,
860,359,018,423,585,556,455,345,286,414,386,500,197,565,555,211,524,813,246,
117,304,963,997,904,003,434,181,565,457,700,502,270,698,374,883,232,507,105,
466,777,051,661,248,383,031,935,293,315,467,785,814,095,360,155,621,803,424,
089,482,082,126,488,171,922,322,700,094,247,650,563,844,227,859,542,165,529,
606,800,763,570,427,125,521,876,537,902,486,122,072,229,111,564,022,340,074,
767,229,897,917,890,840,665,864,510,611,891,017,474,961,813,307,007,972,255,
669,247,006,124,240,926,159,087,867,313,545,372,112,754,990,050,409,922,483,
868,569,543,446,838,092,786,439,234,457,602,001,151,946,105,566,519,199,891,
829,726,360,491,466,911,306,875,479,638,773,277,753,680,040,765,919,130,824,
927,321,193,327,784,080,332,148,358,682,127,199,034,229,907,301,775,182,703,
816,355,377,913,133,576,459,200,089,068,033,964,346,498,477,877,820,369,849,
482,161,827,877,457,094,712,730,925,804,673,008,367,671,620,935,457,974,675,
584,572,428,580,140,627,055,084,611,386,020,059,227,832,487,170,559,958,906,
475,770,034,915,755,782,561,877,743,321,510,627,310,001,283,314,613,600,771,
698,585,362,399,446,120,013,728,551,709,619,266,926,717,062,535,706,292,037,
643,727,849,299,850,589,956,971,690,994,344,885,566,304,170,524,289,772,789,
437,699,897,282,090,898,351,106,059,044,037,237,840,540,698,092,034,605,159,
468,667,885,652,845,401,077,355,600,012,806,842,339,398,643,474,531,139,917,
199,592,503,356,004,703,118,055,820,273,023,639,738,161,584,354,316,871,891,
585,601,635,128,000,548,553,438,935,949,182,905,096,182,703,653,282,468,333,
953,120,825,625,254,713,446,196,449,488,626,560,819,028,705,060,384,709,772,
990,034,271,218,655,075,858,884,580,720,814,389,048,964,258,675,456,939,232,
015,569,391,514,289,025,861,390,275,702,434,950,273,598,668,239,442,533,762,
559,456,220,146,940,926,788,672,677,496,976,885,843,937,372,075,122,111,572,
352,673,912,613,373,874,484,387,141,162,380,703,776,808,713,345,907,493,409,
287,591,733,203,871,344,946,500,599,916,382,158,472,712,010,132,181,879,016,
739,697,300,855,499,187,806,719,788,225,030,870,577,419,351,872,633,991,878,
707,282,903,771,033,313,310,624,658,040,476,005,405,343,880,720,890,925,788,
035,772,256,436,581,411,760,416,758,482,002,847,833,139,154,573,510,258,920,
680,470,951,157,433,856,533,959,565,470,660,293,092,287,303,013,263,310,412,
824,588,318,753,871,453,754,974,594,542,382,561,257,526,785,831,056,880,653,
567,795,871,175,087,862,980,485,557,195,155,826,739,440,115,938,869,846,199,
145,523,318,037,367,310,450,099,306,131,747,296,653,546,604,333,625,469,905,
473,983,462,831,539,226,660,527,167,209,664,497,441,680,690,175,364,143,074,
533,729,879,485,510,638,946,428,358,269,090,418,796,369,467,616,133,043,858,
698,514,720,517,471,575,059,402,287,266,988,713,341,641,351,267,009,128,473,
277,133,325,839,688,995,994,679,334,147,213,802,466,138,355,317,475,515,406,
171,387,517,676,689,586,804,980,799,138,986,595,223,616,040,697,184,669,041,
317,217,407,624,544,209,073,222,155,115,523,562,720,449,706,939,604,894,946,
370,372,551,508,646,830,093,658,100,935,929,598,119,010,000,853,063,361,027,
481,920,067,506,042,953,825,376,282,937,896,386,182,950,630,530,060,886,940,
222,328,605,414,852,609,485,475,525,898,665,885,057,405,735,108,883,002,264,
621,698,805,904,795,111,516,313,008,390,805,554,183,216,367,194,771,031,190,
826,129,168,584,481,703,139,994,945,056,194,575,866,768,703,150,602,870,195,
816,846,627,020,102,382,140,267,599,044,993,861,264,758,101,210,103,988,065,
548,020,817,226,656,002,094,795,147,767,819,439,215,525,174,902,866,515,085,
257,240,956,322,000,150,609,737,447,418,638,991,981,231,644,299,508,718,915,
360,427,941,912,854,856,277,298,919,419,077,869,661,903,281,643,892,522,026,
963,224,951,277,913,715,780,970,162,219,813,821,674,120,740,536,406,291,284,
154,208,247,704,729,510,824,830,365,092,692,200,342,939,316,357,676,074,113,
961,239,860,761,520,337,411,343,531,560,577,562,234,022,152,386,877,699,931,
410,633,716,870,210,758,207,092,836,063,228,629,411,154,254,632,439,509,462,
038,916,677,705,300,486,158,630,588,350,758,017,986,199,795,392,795,693,869,
126,159,863,954,492,243,408,740,190,165,447,906,970,877,319,733,648,032,440,
652,253,751,277,434,673,824,231,444,177,972,863,367,456,288,224,553,109,052,
963,202,357,017,947,875,750,862,487,968,305,318,088,711,110,731,596,430,325,
718,083,205,817,900,113,510,193,595,621,085,609,704,410,943,355,386,258,323,
133,866,019,384,201,160,285,271,582,555,518,454,777,180,508,646,679,054,257,
736,229,765,505,067,446,206,032,478,394,287,659,541,047,394,313,662,499,144,
665,269,773,844,157,974,207,998,476,532,062,159,153,267,455,715,131,185,112,
507,112,915,195,028,382,872,141,839,178,027,033,255,144,110,779,697,278,622,
749,770,240,483,418,863,574,901,006,889,134,198,124,776,573,713,689,153,352,
560,281,497,588,301,478,404,524,001,808,827,858,268,257,790,719,328,993,282,
768,088,798,021,395,709,354,045,284,475,740,882,042,355,737,751,574,160,786,
988,217,280,452,615,483,547,576,683,540,638,210,133,131,209,525,400,879,045,
361,422,092,770,930,380,684,689,667,639,397,517,450,965,469,486,218,112,033,
970,040,012,068,986,206,558,866,729,018,426,375,867,307,419,525,036,918,237,
889,923,626,465,252,438,951,516,294,313,638,271,649,535,063,667,836,407,217,
743,631,504,505,780,784,712,463,373,090,658,721,801,831,477,627,375,114,546,
300,940,263,975,623,128,383,652,162,062,119,952,049,512,739,747,165,152,052,
335,088,937,210,328,933,946,392,760,268,261,067,855,669,657,656,412,716,361,
610,772,599,178,486,153,756,163,649,427,732,227,053,032,952,642,983,042,860,
420,475,266,979,130,679,262,101,697,031,324,400,822,131,937,529,325,772,684,
453,094,634,715,579,872,688,371,595,917,070,834,049,109,432,176,461,677,736,
865,264,044,738,252,037,605,652,030,662,056,252,656,315,533,404,316,388,672,
723,388,863,696,532,859,589,452,604,353,298,077,164,486,888,487,215,238,984,
789,871,076,473,753,438,304,222,819,407,533,948,030,318,817,716,180,650,730,
792,528,667,277,015,151,965,053,355,720,889,458,600,720,622,408,933,710,446,
423,467,870,628,057,263,650,177,260,013,512,122,144,896,124,578,244,538,688,
008,530,499,520,975,653,078,462,383,986,066,714,093,854,888,336,235,361,933,
234,658,274,849,528,137,562,442,827,766,621,021,612,485,740,030,477,622,023,
920,431,343,720,327,440,390,140,437,517,999,859,043,914,763,049,092,668,130,
009,238,610,610,127,108,259,611,605,087,316,943,340,141,274,237,487,371,610,
603,082,103,411,899,993,459,766,050,294,410,651,331,704,914,558,620,501,664,
536,517,451,870,170,408,974,438,148,776,920,100,305,744,897,799,671,292,375,
447,999,111,700,294,005,032,710,888,912,302,068,677,439,540,535,062,297,997,
240,940,809,267,449,580,308,137,754,109,095,802,315,651,172,418,498,309,969,
181,592,209,317,212,487,233,135,186,800,934,211,231,376,014,740,412,463,578,
815,544,432,657,645,407,559,563,628,487,656,330,979,259,765,101,644,286,707,
540,308,946,958,520,735,112,663,008,167,086,494,108,775,199,178,957,535,668,
744,057,172,809,944,922,365,266,669,249,128,103,683,230,788,905,108,296,966,
364,685,691,519,464,625,178,637,465,455,796,109,924,469,805,375,824,151,785,
574,164,692,340,653,072,599,995,206,046,941,980,815,463,206,676,999,202,610,
233,871,268,657,381,525,401,851,426,781,093,994,635,377,694,500,914,729,362,
216,615,640,968,287,093,159,309,325,531,718,620,201,822,226,580,103,889,998,
627,629,016,179,198,773,017,316,560,846,447,686,356,656,972,731,991,643,224,
894,285,632,685,075,174,037,440,765,353,311,215,541,759,126,395,779,102,553,
858,479,736,959,252,447,724,918,503,607,301,597,192,543,159,768,213,855,430,
134,603,235,773,371,963,561,262,364,228,476,934,520,625,948,700,137,958,833,
798,253,834,255,262,535,489,754,740,716,945,305,756,272,042,289,431,498,098,
323,263,512,985,123,708,165,675,194,501,618,093,569,666,511,105,947,884,832,
049,800,803,538,629,863,205,118,978,903,236,794,801,042,944,330,476,339,675,
162,373,363,767,039,732,943,716,435,552,594,080,888,981,890,972,455,482,242,
970,661,243,769,306,328,993,197,022,586,227,416,364,240,776,392,593,692,838,
147,691,030,922,050,113,974,147,123,316,548,155,164,799,072,164,855,332,233,
068,795,056,160,103,686,321,358,506,961,743,291,080,733,403,720,860,896,401,
941,577,431,261,560,280,551,775,101,723,078,423,817,844,095,312,498,475,655,
679,194,731,286,547,457,649,807,261,727,867,773,077,184,494,223,563,937,245,
146,624,314,007,018,631,435,689,023,857,569,031,112,502,409,002,743,625,002,
788,677,001,344,375,654,913,803,430,031,418,474,994,768,859,911,844,561,984,
363,890,337,805,659,183,646,553,800,393,523,279,810,806,458,222,030,738,907,
251,057,317,622,205,152,108,718,522,510,351,261,678,402,365,055,875,614,909,
860,214,571,997,456,560,478,513,567,360,062,976,983,807,951,632,089,391,280,
749,630,892,084,688,296,607,683,123,216,580,472,244,579,184,612,623,310,179,
302,152,155,764,004,183,045,328,024,154,141,644,360,956,798,632,380,436,078,
773,410,214,100,449,321,991,774,102,433,146,206,547,121,960,734,691,720,243,
416,613,390,287,568,192,099,407,469,924,007,293,471,463,361,209,667,078,939,
335,463,551,794,310,094,671,358,684,752,596,832,345,225,605,070,984,534,687,
110,867,311,345,577,849,850,539,575,794,630,384,399,792,414,818,577,682,031,
148,332,240,842,627,252,423,377,669,861,898,706,000,506,316,450,462,028,429,
262,954,241,410,950,390,079,489,609,710,229,813,068,150,243,955,451,539,258,
674,970,008,674,826,751,785,656,950,678,471,112,409,814,057,569,979,665,465,
245,877,549,834,704,418,419,008,865,698,370,838,156,654,037,611,735,908,381,
721,719,167,857,230,152,344,792,872,353,626,684,172,867,452,333,201,498,587,
595,303,815,116,721,087,922,196,374,851,157,967,303,869,475,699,487,129,753,
553,653,413,613,522,191,747,303,736,796,412,385,328,771,761,116,936,661,320,
036,884,964,953,573,271,039,776,291,553,343,647,096,377,976,293,530,152,918,
511,058,709,457,421,801,877,272,177,109,021,058,628,831,071,026,855,793,405,
162,936,575,865,796,645,448,602,967,327,695,037,688,062,090,010,934,805,708,
624,907,400,041,438,518,634,250,128,566,970,519,791,145,434,600,801,396,673,
281,372,192,293,049,961,126,278,948,777,579,626,380,131,976,755,606,120,977,
598,744,436,612,160,120,943,074,715,870,383,189,935,594,863,238,358,454,722,
742,599,584,477,674,292,358,377,077,716,795,508,197,200,722,579,982,032,748,
737,190,858,019,375,759,548,903,136,002,621,616,210,815,923,683,957,532,864,
548,184,177,323,303,422,390,716,556,286,721,493,518,070,563,428,112,863,590,
780,851,607,367,338,057,624,711,099,428,693,910,786,234,710,337,505,663,036,
068,433,085,838,574,095,886,789,333,352,597,614,572,297,823,632,525,971,781,
370,096,689,249,627,899,074,511,665,291,070,363,510,557,040,505,176,299,370,
470,033,683,431,700,545,540,231,753,793,582,807,044,216,372,384,576,872,259,
113,740,987,054,027,869,453,175,780,538,718,496,956,336,901,185,897,291,783,
357,510,952,023,822,681,051,272,895,052,041,088,918,544,684,840,246,420,864,
057,845,962,256,376,325,722,950,358,078,582,725,809,016,461,784,317,597,252,
668,853,667,450,210,104,350,779,701,122,081,989,874,389,437,822,667,787,320,
432,854,676,839,581,524,713,913,302,724,104,153,790,285,646,994,492,521,335,
057,287,030,501,513,559,740,218,223,078,877,928,874,815,275,361,755,609,112,
054,753,473,959,656,037,242,498,864,309,949,452,419,059,630,200,641,087,130,
291,188,019,544,309,249,641,250,634,620,864,588,092,966,331,081,675,118,264,
956,651,552,247,397,834,385,718,483,244,799,515,677,492,177,020,053,106,455,
649,167,773,080,075,634,461,567,434,093,427,454,883,314,410,293,124,720,808,
510,524,102,373,232,725,179,142,699,103,643,723,200,822,142,268,088,642,994,
155,258,872,220,126,483,201,890,832,322,953,205,372,067,148,976,932,415,114,
839,800,629,181,940,521,128,598,041,594,397,022,360,069,528,730,752,475,813,
137,404,592,048,364,405,444,269,972,205,544,139,318,326,484,931,524,326,398,
855,726,281,162,407,605,262,066,707,872,967,089,997,922,353,557,604,397,941,
970,627,464,160,301,541,114,224,914,199,018,731,291,840,811,534,666,178,544,
003,571,667,108,734,032,898,703,912,773,095,702,267,714,797,306,790,777,703,
029,528,895,659,392,069,357,675,425,624,800,524,433,399,102,151,639,619,228,
416,426,245,691,094,459,474,526,903,650,971,481,490,667,061,509,751,033,883,
054,827,468,314,164,281,738,296,584,658,183,364,664,547,215,303,513,176,603,
593,979,335,193,944,286,339,370,398,477,375,083,968,162,346,926,300,853,342,
638,001,552,638,046,635,807,070,713,452,726,547,151,026,539,624,533,503,374,
685,166,518,371,949,577,734,007,987,178,224,486,128,964,822,747,655,199,652,
710,608,886,993,224,942,446,585,906,917,836,584,985,728,210,254,225,431,044,
621,779,815,695,573,309,636,040,128,309,001,701,731,863,848,061,094,063,875,
917,596,189,449,685,579,615,259,560,668,450,770,891,004,858,206,887,848,508,
497,767,978,912,970,862,651,617,201,218,180,133,620,882,672,566,048,226,896,
849,022,689,874,412,858,462,292,581,625,509,263,995,152,120,656,567,618,478,
823,272,413,736,108,820,058,170,478,642,898,713,351,312,432,859,961,277,636,
091,683,907,289,836,897,675,086,890,222,436,323,823,968,951,462,953,980,982,
069,342,232,214,597,127,296,912,352,656,175,073,670,962,705,870,763,787,655,
241,622,208,116,930,326,706,710,434,183,579,474,525,042,781,788,699,940,559,
252,159,727,661,520,120,207,946,825,454,567,651,259,352,676,684,726,437,395,
168,339,160,875,387,291,408,326,098,436,374,599,339,698,838,600,797,203,837,
991,796,329,396,935,574,372,269,399,679,831,135,382,427,854,025,441,017,813,
406,026,381,547,914,929,635,943,767,532,211,600,224,497,089,566,582,360,537,
443,489,898,995,434,378,859,250,813,455,218,377,324,551,145,166,351,313,184,
169,548,130,214,384,933,182,578,084,891,084,920,180,895,930,248,132,047,795,
728,416,323,408,249,368,397,706,295,340,580,543,445,905,287,174,696,122,944,
655,048,188,538,609,165,940,821,697,204,565,746,550,014,513,600,718,011,072,
051,614,652,208,787,116,140,025,145,025,132,587,455,122,279,764,819,954,827,
744,690,466,306,341,385,145,295,649,365,038,832,893,587,551,550,234,134,354,
954,429,598,497,871,859,307,840,127,694,400,986,695,388,223,321,812,105,816,
527,094,626,182,735,618,037,296,388,661,065,347,151,731,061,113,494,307,472,
515,774,446,682,727,979,236,290,989,661,217,702,227,623,900,413,315,418,933,
169,341,990,030,337,499,793,550,423,093,317,228,584,532,622,730,444,821,900,
354,477,008,819,799,315,647,366,456,765,009,623,609,069,329,203,791,592,946,
991,674,279,261,628,110,144,657,271,407,846,189,413,165,168,638,861,436,270,
940,143,243,008,401,201,065,960,918,490,523,689,310,901,781,551,248,312,193,
733,105,956,719,124,324,164,077,132,182,752,003,249,114,206,187,814,256,080,
293,468,796,977,640,207,025,564,460,145,230,167,132,382,395,839,809,177,277,
083,748,467,784,804,182,189,397,892,682,423,181,419,262,270,562,227,553,322,
748,936,547,786,446,780,717,992,901,672,954,361,449,664,152,110,056,707,953,
515,270,311,280,755,032,198,474,353,110,993,807,584,094,896,794,946,741,841,
776,462,112,396,667,839,831,724,963,003,846,101,877,021,251,358,752,326,908,
504,931,235,695,748,742,380,551,717,155,672,553,716,303,775,378,253,128,448,
359,243,886,527,821,869,202,808,321,244,953,128,927,017,833,224,321,612,318,
115,660,205,244,549,068,235,002,977,195,901,309,128,383,755,194,684,951,097,
152,463,745,228,900,935,015,743,767,262,648,613,891,769,614,486,034,981,683,
670,845,587,731,396,081,237,487,557,657,506,605,947,503,003,878,042,223,307,
755,085,524,090,188,865,810,712,328,316,096,561,390,717,553,299,207,715,697,
100,524,636,021,938,678,289,953,801,535,150,271,025,706,490,218,518,400,054,
973,264,758,413,514,430,405,832,943,502,454,589,203,433,679,806,917,200,029,
129,498,029,624,157,873,421,127,225,864,614,471,060,334,146,506,857,643,679,
827,070,316,041,368,416,421,211,699,039,928,595,794,140,590,176,911,001,504,
137,075,281,310,104,100,634,361,534,017,595,755,803,782,684,888,482,516,890,
157,268,539,582,520,220,015,667,976,819,585,323,168,303,585,400,579,903,427,
393,169,688,511,718,566,510,188,978,527,244,147,882,548,827,803,456,817,375,
126,873,873,004,018,105,367,317,866,186,865,810,140,604,079,667,253,057,598,
960,039,454,546,817,737,091,093,901,807,947,873,390,023,387,353,600,280,553,
795,320,495,604,847,158,621,091,275,189,696,022,302,178,106,374,452,011,502,
515,434,063,693,674,915,611,359,196,911,330,230,778,170,755,495,674,829,148,
907,503,266,043,486,949,462,288,090,657,437,669,387,753,344,767,611,439,847,
899,470,014,003,788,020,810,741,277,402,167,214,962,940,262,874,365,678,359,
338,176,227,341,187,541,582,053,605,695,755,699,693,527,925,235,713,228,355,
874,182,541,330,224,008,964,922,947,321,191,642,674,947,214,606,669,206,901,
296,844,956,630,934,515,709,092,142,254,056,987,970,779,948,677,317,407,293,
498,596,438,853,541,803,257,944,734,142,156,706,950,291,227,541,366,372,259,
414,538,499,558,868,499,856,360,118,580,227,137,351,315,531,471,774,638,034,
523,097,446,711,640,371,183,876,559,528,624,858,147,723,555,023,124,744,489,
892,810,225,611,000,176,870,738,078,661,882,079,042,142,715,686,333,239,335,
598,520,153,353,373,911,216,182,163,776,525,787,963,440,093,226,358,216,869,
532,620,671,444,376,040,794,584,666,608,696,890,338,282,571,386,140,515,925,
972,154,311,413,626,219,632,822,302,454,830,359,343,726,699,133,786,299,668,
335,804,048,520,701,580,897,391,729,201,906,426,276,956,320,883,099,851,736,
471,681,100,727,318,745,339,584,083,389,377,251,567,769,511,414,212,203,882,
150,102,530,025,623,283,766,915,980,019,085,218,120,603,045,336,782,121,633,
454,358,328,224,079,115,981,142,006,960,538,575,148,440,430,114,023,627,900,
644,578,438,095,313,727,137,993,302,437,600,950,252,689,785,802,031,105,979,
298,674,070,223,912,966,855,311,421,051,283,049,562,244,318,048,709,391,487,
333,896,044,099,872,256,164,167,932,902,735,886,941,002,721,993,160,754,154,
799,509,715,890,768,891,443,533,391,353,152,620,228,682,827,046,703,405,846,
889,703,006,281,402,646,274,846,375,427,254,746,992,881,526,591,657,656,981,
222,074,274,626,953,424,736,368,357,043,646,550,958,849,834,076,174,188,264,
918,090,548,827,229,876,110,859,554,526,046,014,007,079,772,874,833,437,240,
637,042,654,154,382,888,913,625,093,462,623,404,558,620,450,932,040,233,543,
020,049,101,017,068,446,374,789,544,913,090,171,937,779,634,180,190,094,221,
666,862,442,237,885,867,325,964,203,348,103,466,047,284,539,857,985,111,429,
470,813,586,910,299,529,791,006,972,287,471,226,798,136,207,733,593,533,589,
057,762,423,255,672,443,208,735,279,453,609,013,036,783,084,748,222,233,966,
661,231,153,992,999,887,566,526,448,372,847,423,734,798,844,260,873,208,761,
217,796,743,848,165,393,204,424,379,435,444,089,654,343,517,601,829,915,324,
696,273,406,508,490,443,228,595,535,315,381,614,983,655,706,057,927,344,496,
194,641,019,240,371,845,750,829,008,899,444,068,073,008,637,939,687,494,626,
025,021,791,092,644,883,974,371,934,298,096,881,473,183,775,524,656,362,913,
699,359,384,375,776,060,842,057,548,086,693,742,282,662,793,385,878,723,615,
300,054,151,765,131,951,579,616,890,482,719,740,543,678,395,455,656,571,124,
464,685,166,062,623,768,826,669,333,775,950,777,147,510,928,566,769,577,113,
882,273,748,780,327,611,651,365,928,287,105,158,653,020,259,760,539,001,087,
422,336,624,885,256,413,501,083,495,669,762,391,114,730,588,139,928,943,306,
266,690,760,117,955,641,004,678,449,714,486,858,688,034,603,313,945,996,095,
322,080,461,702,078,347,156,782,334,610,388,959,103,611,121,314,340,398,732,
884,677,335,392,731,409,082,351,488,016,733,575,586,771,226,210,759,167,199,
442,226,058,071,265,532,400,705,017,185,945,776,335,574,075,842,984,395,477,
839,721,535,190,776,783,272,527,803,152,429,605,843,621,491,133,162,836,361,
632,412,749,262,649,225,213,068,084,448,838,685,794,453,581,029,479,963,318,
369,657,680,830,502,369,536,645,832,370,574,573,206,607,453,547,373,998,634,
397,818,659,651,354,805,831,050,203,621,270,941,389,846,682,791,361,365,577,
161,452,056,486,272,696,445,828,092,943,564,825,150,473,531,837,846,044,137,
465,844,784,149,068,307,719,929,947,203,333,976,900,966,751,478,601,322,303,
750,380,441,973,233,896,994,773,857,492,651,031,622,887,072,692,891,379,380,
785,354,932,117,854,404,064,371,957,989,667,548,477,986,979,702,624,425,857,
162,844,596,629,146,580,806,514,216,013,468,371,887,130,680,275,522,299,594,
057,632,572,914,710,420,791,105,213,099,582,194,833,173,827,324,844,660,713,
921,737,101,473,156,024,756,977,905,695,742,211,069,635,402,501,493,859,411,
393,764,323,624,142,321,317,698,623,449,796,157,387,554,209,823,725,981,827,
342,725,697,790,864,647,606,265,441,126,902,042,823,167,514,767,827,666,996,
361,627,522,385,327,425,090,566,912,568,154,832,752,721,330,059,393,617,539,
186,971,398,858,815,661,514,451,449,574,540,968,024,547,868,700,556,168,470,
299,970,521,962,631,617,974,281,237,351,061,155,597,405,219,180,863,287,280,
899,151,385,148,677,820,977,512,861,750,784,880,776,619,424,186,575,272,032,
863,890,704,359,824,145,041,417,455,627,776,811,808,972,684,502,270,329,904,
985,904,834,513,423,718,897,945,187,034,997,254,030,297,522,864,424,736,207,
564,267,089,436,029,805,108,757,479,327,516,654,733,393,860,355,451,105,428,
864,575,368,887,410,282,138,900,210,742,040,804,047,775,023,508,968,997,519,
499,940,431,415,802,918,833,509,987,117,408,304,623,961,923,961,642,816,859,
129,852,245,987,325,677,079,060,679,585,904,316,638,116,052,232,952,441,528,
489,002,355,419,866,144,160,438,925,530,716,170,678,260,553,722,327,017,812,
395,205,180,199,850,235,027,306,938,001,622,254,685,452,631,219,494,208,045,
387,720,385,876,164,628,982,977,655,468,459,843,265,195,371,757,754,071,532,
229,117,338,467,867,644,361,848,954,328,644,351,925,931,958,220,872,477,691,
578,071,911,700,899,989,669,909,493,278,167,479,180,554,983,752,876,196,272,
792,392,844,728,006,282,542,785,097,272,097,960,294,408,227,864,972,094,023,
112,974,171,572,235,528,292,856,150,798,998,794,642,389,410,527,328,789,539,
655,078,163,376,464,592,057,257,159,298,484,035,671,357,201,157,082,386,550,
706,369,158,609,705,511,471,387,579,877,579,085,945,206,775,650,309,393,740,
216,687,402,592,005,990,623,507,606,580,730,934,130,349,134,874,511,203,139,
966,099,770,396,050,419,774,376,209,213,027,096,394,497,353,962,485,822,704,
480,105,051,505,048,244,183,144,333,259,266,400,651,716,672,409,614,488,549,
894,885,174,277,811,774,042,076,480,963,235,839,552,416,413,709,429,985,212,
201,515,131,954,730,130,980,337,047,407,648,225,640,994,900,451,367,953,228,
659,018,759,937,107,162,484,685,581,320,937,514,514,877,119,375,544,435,257,
346,711,970,839,797,520,925,750,004,921,405,492,188,656,068,950,448,461,735,
946,950,615,052,184,783,547,457,411,250,971,265,748,502,547,068,924,374,365,
663,897,645,677,758,553,851,589,991,517,713,145,698,841,498,142,323,900,649,
119,879,293,948,883,302,854,611,314,758,696,062,225,399,035,475,606,390,695,
705,527,061,642,708,213,777,207,420,319,206,629,404,978,979,376,925,091,495,
535,990,372,545,316,594,533,841,197,282,400,561,849,810,211,551,375,757,651,
517,767,624,630,342,926,417,907,451,896,755,429,989,320,521,618,642,689,586,
813,646,395,208,965,232,027,648,399,945,318,470,591,640,387,477,529,651,535,
100,712,849,476,981,342,080,794,223,518,638,203,328,930,558,615,814,369,424,
574,904,994,558,600,908,199,451,886,279,163,766,184,027,637,494,337,008,106,
106,795,549,136,945,801,435,910,669,613,670,924,951,514,793,726,170,913,587,
313,614,305,678,491,262,723,901,091,306,136,029,942,596,833,376,444,116,600,
838,756,651,456,569,579,993,720,181,855,465,762,874,204,601,989,313,573,008,
497,353,668,622,369,450,761,241,147,090,639,324,447,064,726,583,502,222,653,
043,367,363,592,093,522,442,053,931,693,452,418,664,809,922,327,095,936,870,
520,047,148,724,424,038,066,992,352,422,125,748,918,166,932,955,466,808,784,
469,124,863,606,562,499,772,223,361,952,024,167,599,263,629,939,357,628,947,
115,887,005,688,781,949,709,513,955,412,885,053,513,490,757,758,853,803,144,
273,823,018,478,065,995,512,032,716,818,980,539,293,971,192,486,832,208,888,
799,766,189,827,008,284,368,089,610,875,121,401,501,608,998,703,225,246,820,
313,907,203,476,147,135,355,602,423,935,990,699,347,666,398,366,789,763,117,
497,610,330,621,935,490,629,309,807,034,222,199,967,881,472,365,421,041,556,
093,321,366,811,793,718,221,320,291,636,843,222,000,001,815,889,850,501,489,
754,044,277,793,560,521,989,021,223,809,989,314,840,313,876,740,172,032,654,
984,983,442,110,063,325,002,482,679,411,694,394,582,605,793,018,518,919,564,
626,060,547,819,322,170,285,141,539,965,382,112,004,720,985,389,770,536,860,
015,484,833,609,093,025,647,265,909,129,073,950,497,106,571,034,729,995,993,
921,986,026,920,943,731,534,455,033,899,057,360,607,581,682,332,635,952,782,
247,352,413,985,522,618,374,598,954,732,345,944,097,349,838,583,456,859,238,
948,796,436,749,106,237,285,932,745,321,039,125,469,534,568,488,593,178,634,
145,386,914,088,447,492,604,782,233,247,912,955,926,287,913,005,125,609,887,
746,444,267,649,527,383,884,479,280,667,088,363,649,982,895,870,996,415,450,
423,651,028,369,116,051,214,180,452,520,507,543,770,787,030,976,518,336,701,
139,344,742,895,296,610,152,488,643,990,661,200,031,895,000,430,397,545,933,
846,159,717,377,047,786,317,920,127,730,459,944,324,840,540,064,374,828,856,
892,433,844,812,398,212,101,143,563,084,044,139,160,602,099,514,275,828,196,
321,258,485,188,596,072,326,011,825,157,674,758,656,893,579,316,390,577,625,
161,489,958,190,621,516,033,355,370,555,171,473,715,483,834,175,298,695,965,
455,060,745,645,117,645,037,475,310,365,442,560,518,724,471,733,707,256,273,
935,021,508,587,124,869,673,400,584,704,129,822,878,703,961,173,248,201,230,
032,881,314,301,048,607,401,617,928,416,624,041,345,433,805,970,636,024,195,
804,336,744,533,834,605,403,006,622,420,314,107,922,471,920,443,502,566,830,
723,272,523,917,446,332,702,458,987,570,083,062,615,595,943,412,545,706,659,
846,367,219,567,796,609,104,622,549,284,261,527,356,106,747,604,415,047,014,
340,611,812,489,360,467,067,777,026,085,485,951,142,234,700,426,581,700,987,
439,601,475,794,116,314,984,968,917,500,121,362,941,800,768,877,073,076,494,
697,201,424,597,258,778,793,461,178,238,452,202,275,248,213,504,615,381,274,
465,860,457,290,845,063,274,465,651,003,830,388,091,517,323,964,048,291,356,
702,310,725,052,634,300,459,389,295,332,945,072,710,648,481,941,651,483,574,
228,604,147,336,345,682,247,425,955,366,831,210,220,907,176,946,531,558,956,
725,777,373,789,403,946,982,892,815,945,193,709,866,654,946,641,065,705,819,
358,083,410,562,858,984,207,117,313,374,218,266,234,647,892,019,327,696,131,
639,065,006,497,376,318,296,251,321,597,439,302,769,018,673,883,246,683,869,
811,530,161,673,527,993,548,923,799,568,341,569,753,742,334,212,028,491,100,
561,259,450,286,643,984,359,751,258,350,323,531,468,601,776,859,904,094,356,
010,511,325,731,945,315,531,770,578,318,392,379,055,401,616,726,767,827,716,
434,274,127,227,481,477,534,361,586,754,947,975,817,928,570,119,696,451,679,
243,711,671,109,149,719,849,091,259,416,063,561,261,565,221,686,681,805,136,
300,956,470,685,501,508,736,759,925,041,274,959,672,252,618,959,100,219,770,
416,889,346,823,274,994,564,287,135,729,928,968,219,164,046,291,605,976,305,
073,025,445,907,159,333,559,957,795,774,840,011,906,666,941,481,002,498,299,
925,768,052,095,799,542,305,714,062,275,559,427,517,576,694,125,394,307,198,
101,066,791,928,792,927,717,919,573,594,901,125,920,655,820,006,295,683,100,
496,997,222,430,087,669,838,940,318,321,782,058,762,625,059,823,752,081,602,
775,718,779,994,121,422,987,700,472,787,119,141,239,820,917,983,991,394,462,
432,204,533,794,458,609,464,090,374,818,055,872,779,026,380,112,010,478,028,
793,879,604,577,511,116,021,502,325,207,773,137,665,921,492,247,415,654,954,
390,614,525,409,544,146,127,141,620,722,950,011,818,096,599,710,229,988,443,
061,666,434,857,436,168,581,904,812,910,931,862,844,696,272,729,260,650,778,
199,717,792,913,217,459,259,628,756,472,943,036,102,279,211,801,578,800,380,
606,497,815,388,470,180,417,520,615,284,347,031,402,847,790,926,720,204,788,
248,872,274,095,580,019,542,513,417,835,012,508,117,897,126,975,804,829,850,
321,416,286,127,247,153,899,039,663,433,102,312,790,757,329,963,705,064,575,
866,384,712,129,284,065,051,900,397,680,502,161,776,345,666,654,623,814,889,
698,390,661,846,326,187,331,479,152,926,192,257,116,204,324,280,452,728,703,
922,979,388,189,370,197,911,688,448,724,528,633,656,050,687,278,174,231,835,
653,394,696,325,528,560,435,249,689,637,465,000,452,780,374,060,261,201,756,
701,431,739,159,379,900,067,210,231,477,916,420,130,157,707,184,857,735,403,
829,970,293,745,650,000,977,609,517,420,646,232,716,193,921,074,720,986,700,
445,686,593,787,070,718,666,128,729,079,881,258,861,748,218,638,407,767,102,
586,729,626,634,693,555,517,453,553,487,697,940,151,485,370,495,693,799,514,
630,174,101,471,605,771,535,518,256,445,594,014,466,736,647,750,024,449,677,
066,112,025,383,165,344,740,527,430,156,868,393,066,698,197,994,454,747,423,
275,438,865,099,671,745,810,621,981,431,015,275,151,825,678,704,458,026,362,
165,902,992,342,767,141,631,700,805,723,802,343,832,985,028,455,169,687,409,
633,185,832,089,421,816,393,054,240,584,817,954,769,284,062,242,940,764,331,
185,347,742,265,184,048,299,379,800,578,412,689,369,994,625,031,046,789,124,
938,574,985,385,707,003,400,862,908,407,303,210,296,812,403,434,890,258,681,
926,907,566,239,688,454,276,834,375,289,908,559,143,422,877,565,996,055,559,
267,538,908,942,876,871,677,205,008,901,138,401,126,179,671,511,653,348,365,
785,272,473,980,699,067,931,988,332,295,311,027,831,187,074,130,064,302,449,
911,855,397,844,430,695,393,588,506,344,277,216,929,230,271,243,434,919,085,
599,579,267,489,275,828,485,521,365,017,525,113,115,231,492,935,487,695,743,
531,456,270,982,836,070,723,400,449,292,059,436,024,704,334,565,012,521,160,
659,841,815,954,172,802,382,100,881,748,729,249,837,423,333,824,945,166,793,
469,415,862,434,574,165,256,676,632,130,899,396,206,421,727,866,620,787,127,
330,351,104,198,370,807,423,766,253,779,743,061,662,059,407,204,894,688,279,
361,175,187,617,120,354,250,213,091,860,497,318,473,445,236,321,723,060,707,
219,866,262,923,319,413,154,726,924,621,896,810,145,529,658,374,430,371,231,
876,997,519,978,097,429,599,259,142,327,548,493,945,573,663,189,545,679,573,
663,962,846,411,796,559,682,923,646,929,466,979,492,435,886,010,271,292,582,
839,251,774,651,784,936,345,884,738,094,807,485,076,174,279,652,121,937,906,
637,500,582,671,569,363,115,248,717,485,109,265,278,560,205,654,768,431,390,
289,679,217,831,043,077,812,009,472,452,723,046,166,621,258,284,383,721,802,
860,095,859,644,356,783,152,109,669,941,365,895,428,361,386,151,271,161,198,
867,236,303,216,422,286,992,091,535,591,059,967,484,699,465,038,189,838,219,
175,741,330,930,235,750,980,461,790,080,203,512,024,484,327,936,381,628,101,
509,132,212,966,864,732,779,941,737,612,681,972,007,621,765,626,015,702,527,
285,864,675,921,346,576,302,073,285,972,604,780,583,633,720,732,953,101,668,
958,069,986,294,358,386,991,725,624,533,650,206,867,822,804,758,770,443,386,
955,411,731,628,943,512,396,648,749,514,338,947,242,434,261,811,857,173,864,
985,031,276,376,134,371,926,598,461,993,440,534,075,177,519,816,458,811,699,
732,326,039,449,283,459,820,778,460,005,017,379,724,696,927,078,784,855,873,
712,320,519,550,524,064,528,117,225,938,712,798,284,217,943,402,344,607,027,
191,687,499,039,773,997,891,265,978,786,705,151,940,166,455,892,592,353,019,
841,866,331,862,145,535,988,798,761,204,767,620,740,782,521,353,285,054,807,
461,120,004,093,159,622,810,622,180,579,962,374,990,111,006,662,200,762,057,
101,083,909,495,120,129,703,025,144,957,511,543,488,803,513,214,141,757,228,
771,070,361,422,568,475,705,123,007,872,745,475,401,048,166,102,893,686,023,
075,055,410,212,351,584,562,061,155,749,200,427,968,483,700,766,888,213,343,
454,721,129,622,402,901,642,318,459,666,168,910,490,099,442,469,086,490,882,
407,494,883,952,478,862,551,550,637,741,082,564,342,574,939,693,322,480,925,
397,650,220,373,688,625,066,202,141,397,697,738,660,634,114,200,647,696,239,
755,897,339,499,305,562,734,759,666,013,573,367,062,096,493,067,135,218,169,
367,326,268,221,936,431,989,369,914,277,220,118,904,937,213,467,282,153,673,
479,448,791,708,574,648,954,198,510,963,294,553,988,713,208,228,430,276,690,
813,010,778,888,203,426,807,356,055,118,985,267,359,699,637,909,168,149,033,
652,123,787,648,807,337,895,608,153,518,956,014,116,990,621,207,101,917,610,
036,369,052,353,558,030,413,216,292,614,771,200,364,570,021,652,130,900,014,
786,325,989,442,860,744,918,758,286,903,276,475,431,305,875,288,856,982,791,
191,438,276,907,620,939,070,232,278,097,761,200,510,462,209,668,431,544,262,
997,646,045,218,852,417,087,464,285,299,527,868,236,075,112,060,090,579,273,
226,323,200,967,247,843,903,124,702,562,768,046,871,101,077,598,194,343,985,
957,622,622,778,900,289,043,510,479,257,723,206,926,791,758,133,382,949,396,
438,180,549,711,863,851,271,622,441,181,713,737,403,238,850,963,679,303,071,
805,262,065,505,073,490,785,180,224,064,646,476,541,230,354,977,914,602,558,
067,042,271,018,246,692,508,099,542,600,607,607,168,602,862,387,005,784,297,
351,195,416,912,086,607,041,227,019,965,191,261,817,942,730,265,649,154,145,
035,010,474,590,798,648,984,693,743,481,703,199,390,801,143,581,293,219,367,
396,888,241,749,977,720,361,326,388,449,092,257,062,820,992,042,945,246,924,
396,106,365,140,946,694,165,262,762,434,963,578,415,152,811,159,212,626,931,
167,218,547,411,410,776,884,423,088,011,945,299,371,874,924,618,207,277,485,
893,971,754,887,039,953,037,743,609,332,887,183,713,058,151,313,063,781,491,
324,533,771,979,103,603,135,603,597,505,268,788,641,418,679,796,126,063,277,
870,772,947,441,062,278,996,301,779,275,309,670,803,965,755,090,334,062,515,
390,311,844,389,909,410,202,733,317,170,076,589,073,138,684,181,354,063,709,
032,024,753,211,468,028,655,456,712,032,986,441,236,571,078,587,823,169,249,
058,556,902,814,324,175,090,034,680,199,534,194,273,720,711,853,018,429,339,
804,074,033,985,726,760,643,250,470,839,433,456,701,288,492,661,014,332,074,
838,442,329,972,790,560,070,409,088,588,845,384,106,333,017,700,370,594,502,
837,985,583,594,040,847,388,724,594,966,899,397,509,648,745,216,067,714,127,
175,814,245,733,937,248,059,224,548,249,158,532,609,219,258,684,525,101,686,
562,064,768,396,469,630,694,224,164,012,553,830,155,253,724,309,052,647,121,
484,380,038,978,684,472,482,534,149,977,809,002,750,194,265,147,989,939,412,
888,120,561,493,671,603,555,288,446,345,460,132,416,022,122,155,458,486,674,
226,344,752,028,744,991,670,344,420,724,879,354,405,363,308,765,278,830,331,
283,418,005,885,262,342,061,229,117,979,940,465,105,093,544,946,618,884,863,
761,154,688,148,162,671,409,874,297,573,946,310,603,502,418,376,755,493,148,
160,069,528,024,894,165,350,002,565,254,143,735,435,326,708,017,959,489,778,
591,822,863,880,831,988,633,997,140,978,347,291,936,343,068,850,006,323,067,
652,994,304,672,064,982,903,717,027,677,067,598,134,951,311,724,214,899,435,
432,286,988,774,489,703,582,244,888,665,402,302,894,690,154,343,685,190,639,
097,641,878,112,173,775,867,808,511,330,780,422,620,171,363,978,578,339,771,
279,442,870,930,562,083,088,044,844,653,507,151,369,055,727,912,431,858,730,
816,482,859,170,865,200,181,378,042,272,968,507,422,547,509,072,778,118,892,
194,002,689,973,915,371,850,548,630,788,625,389,010,568,717,049,088,275,793,
303,297,660,323,678,781,888,300,364,773,275,190,162,447,401,901,765,479,708,
876,199,830,416,182,400,162,812,730,351,057,768,400,049,992,163,069,613,255,
851,732,101,456,151,082,189,947,690,780,759,879,720,856,693,206,448,146,368,
288,733,471,207,729,893,790,712,475,424,310,369,711,249,584,047,650,392,429,
735,705,161,220,541,639,098,150,046,235,196,398,230,921,960,620,087,343,219,
262,130,831,757,192,122,962,223,707,676,473,539,352,664,695,315,993,343,325,
515,583,877,639,463,745,089,763,933,305,409,909,182,489,848,242,011,408,567,
871,105,957,521,881,761,668,388,414,414,519,604,043,103,661,003,329,971,610,
322,041,607,848,477,275,501,039,698,877,350,268,505,170,436,630,080,267,919,
609,985,797,774,946,622,252,839,184,235,218,724,211,292,791,359,581,736,090,
987,738,065,873,926,423,996,604,722,203,034,745,211,118,685,582,902,932,651,
233,124,097,635,748,566,825,505,447,811,031,100,776,171,635,545,843,084,589,
628,673,936,049,591,612,319,133,222,684,658,862,587,846,786,396,979,453,332,
889,360,127,461,816,636,234,315,402,776,478,912,456,657,038,250,350,047,883,
341,741,994,013,610,240,014,487,037,279,859,425,692,844,087,337,011,812,195,
884,139,136,705,306,936,187,636,391,545,339,182,820,048,534,151,113,350,346,
777,856,606,106,191,941,835,930,285,434,922,086,410,228,245,824,267,588,076,
456,007,050,205,018,899,236,751,772,348,658,634,504,155,886,615,167,624,165,
503,548,071,019,978,053,116,750,100,366,728,303,897,219,523,840,943,504,694,
663,764,525,561,197,183,779,554,573,422,899,718,851,798,617,121,454,259,827,
764,143,733,129,939,274,679,698,675,760,248,971,905,027,861,165,066,909,557,
327,656,493,747,237,012,333,892,399,068,742,090,538,824,304,558,152,235,630,
001,977,770,719,220,910,123,661,258,234,614,717,383,482,551,126,946,991,960,
586,604,283,982,333,451,946,669,621,296,521,316,272,009,791,525,487,769,436,
646,143,196,792,090,315,356,323,385,780,522,015,840,730,106,237,196,390,652,
743,468,039,259,284,013,222,299,077,040,623,885,481,527,890,347,643,138,807,
754,647,532,262,139,924,224,812,764,545,761,116,915,386,413,798,004,131,332,
577,704,048,639,308,636,976,260,062,091,681,431,342,892,737,536,357,629,940,
101,657,157,624,715,830,393,086,166,604,308,480,790,522,578,392,621,506,120,
179,398,570,312,427,223,669,080,880,075,567,872,660,368,414,158,853,123,842,
782,547,545,171,366,027,276,030,617,200,828,732,937,603,974,977,787,303,761,
692,780,173,302,722,287,833,151,521,898,776,502,928,652,820,177,272,139,802,
065,481,963,624,867,452,473,004,514,905,564,188,318,204,134,001,398,496,761,
066,061,121,781,130,502,452,813,803,535,137,732,480,950,417,659,360,315,328,
320,184,175,982,008,445,234,342,023,215,089,811,085,764,637,219,913,295,090,
740,439,143,258,956,368,638,421,709,563,344,728,236,605,870,644,459,662,303,
790,574,363,997,028,275,887,396,160,347,674,582,545,842,357,116,543,093,080,
749,726,656,805,690,970,281,708,819,700,379,443,597,733,740,066,991,155,968,
771,679,069,715,271,897,455,010,830,138,735,838,703,785,575,552,240,933,191,
996,245,796,797,012,471,039,699,203,111,700,093,201,760,591,126,540,012,071,
683,205,220,885,136,555,031,540,139,891,730,876,011,686,117,173,185,978,604,
996,084,737,244,927,678,171,603,844,897,580,940,690,699,317,586,476,035,437,
504,803,341,167,623,085,277,865,445,598,718,721,663,943,674,798,845,236,104,
961,690,327,037,117,960,095,495,520,597,607,075,472,176,361,427,274,615,809,
664,851,019,441,305,523,459,855,135,775,272,904,216,133,693,206,181,849,712,
863,118,476,302,237,974,222,200,315,218,800,401,027,738,937,873,706,342,398,
320,416,300,562,575,778,976,970,300,068,216,733,862,459,885,082,373,854,307,
652,204,221,420,857,485,797,835,714,430,615,658,777,575,412,529,050,416,785,
864,624,431,245,912,702,879,572,439,256,536,431,986,094,253,934,241,283,174,
158,759,012,021,081,281,175,721,520,091,437,150,853,439,303,651,969,590,490,
416,796,783,961,027,977,595,429,870,926,208,583,728,013,067,133,829,190,681,
233,945,598,029,043,661,619,321,236,247,166,285,023,168,661,403,810,041,944,
943,098,119,231,632,100,145,289,727,022,599,838,682,980,366,626,020,036,684,
356,924,036,328,924,994,019,049,834,038,411,656,187,222,359,064,794,730,447,
813,129,686,392,746,757,437,180,805,672,571,654,817,480,734,119,968,517,959,
306,887,657,397,412,200,242,299,834,903,849,366,988,701,555,457,186,716,635,
915,959,184,197,354,795,927,461,897,454,759,367,983,754,179,022,279,008,429,
344,251,311,577,277,280,181,887,829,834,683,283,733,757,597,449,720,378,445,
239,743,855,147,317,010,823,256,614,884,539,590,704,988,963,921,871,597,425,
288,371,769,024,049,677,951,995,130,937,299,413,616,338,205,285,575,218,318,
830,517,648,766,530,374,527,526,231,695,843,469,666,275,111,341,227,099,612,
723,372,939,164,864,618,392,456,287,396,635,201,200,197,705,999,806,378,382,
650,534,356,240,097,222,761,443,981,738,728,673,888,989,703,830,438,999,681,
878,680,843,775,346,621,681,342,625,263,154,470,647,592,598,040,420,690,132,
865,588,040,748,271,816,288,833,108,869,289,022,498,007,503,753,764,550,680,
211,376,099,123,742,813,849,183,485,888,302,168,346,827,224,291,162,395,068,
970,117,520,035,665,594,068,594,112,263,400,851,827,937,874,090,525,164,715,
118,556,952,311,851,003,284,443,389,109,045,899,446,863,412,647,167,079,066,
529,848,629,904,756,448,821,140,171,716,383,925,558,414,240,462,907,062,635,
065,773,143,756,724,544,125,874,231,961,815,451,383,544,489,148,717,572,320,
786,053,180,306,355,373,492,260,640,932,216,181,157,101,013,633,085,468,443,
713,886,138,045,530,422,345,009,338,247,304,888,224,565,963,809,130,077,393,
575,043,834,787,219,087,510,634,247,550,309,889,814,309,716,550,954,857,119,
860,938,550,641,830,061,558,292,465,018,482,810,876,172,881,930,409,924,738,
096,517,379,322,245,603,952,329,858,908,270,579,026,752,215,385,933,801,835,
377,137,650,138,025,502,611,615,119,278,798,651,422,830,139,493,525,365,850,
309,750,002,458,125,149,274,590,944,227,273,798,229,082,300,057,445,943,149,
591,068,725,886,959,544,916,405,876,826,533,495,664,437,013,486,422,846,696,
556,087,339,258,122,417,608,072,786,081,571,311,227,620,079,907,120,130,716,
684,762,985,999,938,374,933,605,517,666,505,132,545,570,637,062,179,952,329,
569,808,062,970,745,319,743,856,342,709,865,479,862,472,368,641,476,282,426,
793,331,863,665,015,067,412,169,003,256,196,748,804,986,310,288,379,321,103,
169,120,319,275,812,013,025,007,417,507,584,323,688,410,700,270,242,024,088,
690,495,294,836,147,984,288,981,342,897,173,765,107,789,538,797,620,899,001,
144,178,454,543,638,876,206,121,594,556,442,792,017,347,521,083,952,872,128,
682,759,062,204,302,767,320,546,810,146,684,896,737,181,667,007,733,510,202,
204,839,304,467,387,331,369,532,744,723,313,651,878,581,320,067,636,008,104,
901,497,861,958,612,243,122,061,629,994,164,177,061,039,517,043,987,652,342,
389,909,562,174,128,935,450,340,726,579,827,671,706,559,400,150,712,765,384,
950,068,355,646,626,900,292,742,184,923,869,529,616,707,557,338,241,071,029,
995,444,719,388,601,757,782,999,839,407,623,067,011,579,818,196,983,893,053,
150,944,790,598,184,122,017,455,261,907,243,009,194,278,023,655,316,018,870,
737,059,508,622,089,971,725,984,982,918,900,693,849,534,381,460,438,569,906,
631,748,068,183,705,383,516,729,034,252,209,451,092,181,893,692,328,480,960,
411,159,992,048,949,175,083,321,644,432,164,626,012,151,507,962,282,322,391,
201,328,212,157,241,649,142,181,620,762,664,388,792,324,080,960,119,736,525,
278,440,809,076,873,956,732,139,289,052,115,561,808,622,866,389,066,549,842,
320,290,632,759,432,778,459,295,060,770,801,108,117,611,547,220,223,246,984,
948,828,520,445,187,304,310,300,749,324,749,190,131,411,388,742,278,697,626,
214,724,235,533,805,631,190,617,053,484,796,374,989,097,952,134,350,210,753,
458,704,208,313,922,378,119,129,733,960,743,193,115,785,852,294,161,356,785,
217,973,093,548,128,455,215,656,499,920,161,289,274,477,328,168,531,201,536,
217,788,153,237,077,346,590,878,750,594,534,555,611,197,957,922,346,979,997,
195,326,948,028,951,269,014,067,545,956,169,532,226,374,522,535,819,072,271,
520,631,842,099,042,103,698,902,478,639,116,836,841,577,557,706,864,774,057,
863,267,143,326,772,800,967,262,832,557,815,582,769,318,739,473,943,605,532,
306,314,079,265,251,076,857,088,043,532,758,405,487,814,901,522,306,230,071,
116,242,304,161,636,344,077,544,425,137,196,183,098,262,385,150,760,059,171,
087,068,906,636,263,261,243,384,910,105,458,749,388,823,134,217,072,620,714,
411,121,176,226,676,629,942,858,556,918,021,676,087,690,621,786,561,833,464,
420,286,604,427,336,473,147,365,230,012,336,932,060,606,248,944,860,750,741,
184,893,707,626,139,974,818,133,578,433,985,725,594,041,205,221,090,688,584,
392,385,646,961,092,436,025,509,217,179,074,805,651,271,781,484,090,267,994,
778,012,603,549,235,462,801,716,428,414,624,048,525,229,054,253,444,218,317,
720,358,141,165,661,869,349,373,814,392,580,601,142,347,181,828,225,932,108,
858,661,069,157,186,031,532,909,550,113,063,581,569,305,302,060,490,291,145,
111,409,893,431,469,706,406,557,451,462,348,703,508,134,352,917,218,421,195,
279,308,942,497,611,433,038,070,863,250,906,793,284,422,649,755,044,812,627,
396,964,373,856,591,857,361,762,808,136,776,604,724,116,453,987,930,499,686,
020,520,626,814,799,974,207,259,314,918,794,244,437,924,955,092,218,768,836,
836,361,708,479,265,839,564,932,475,577,667,776,933,814,727,182,234,125,648,
175,912,991,791,877,277,391,749,593,876,666,763,339,544,187,197,867,247,056,
886,247,457,215,744,841,790,344,923,798,709,768,381,010,928,736,456,777,173,
816,467,222,765,808,832,314,781,978,325,864,794,287,243,631,527,245,605,477,
445,725,676,840,399,350,316,493,437,633,380,783,319,003,181,846,655,550,550,
860,687,762,483,547,913,980,913,738,979,228,250,263,841,184,047,451,882,495,
927,749,585,328,194,786,403,658,345,614,719,215,200,370,520,879,612,126,266,
162,754,628,054,104,755,389,585,692,402,453,844,722,008,741,088,986,443,652,
943,506,933,720,733,214,082,902,812,002,832,689,748,547,101,941,612,034,076,
905,900,322,845,797,152,731,065,338,894,940,662,726,092,787,065,685,697,983,
683,883,760,281,098,328,435,272,520,981,410,153,880,801,758,426,663,185,429,
819,178,435,706,820,766,541,299,644,195,119,754,902,010,419,842,702,070,251,
670,625,849,566,139,315,148,901,888,677,919,543,710,673,543,894,533,565,710,
476,576,588,098,158,867,208,133,724,768,514,372,142,202,630,375,090,497,230,
488,571,751,248,121,466,643,652,939,620,948,845,998,022,627,955,181,175,579,
193,901,693,773,621,262,753,492,548,202,548,419,586,420,080,267,616,988,162,
719,166,473,373,643,813,467,243,411,006,655,002,311,824,234,038,434,975,902,
836,659,891,406,510,152,958,948,989,267,472,599,045,607,677,184,297,597,898,
641,708,401,882,822,638,759,433,983,937,699,946,360,058,987,952,692,478,626,
084,851,384,936,374,173,405,357,877,427,153,414,596,864,811,911,341,925,080,
812,034,376,003,657,651,964,358,607,815,348,335,190,194,098,182,557,998,817,
241,688,033,363,366,916,106,152,793,365,415,479,612,125,974,076,167,840,070,
256,002,120,994,968,143,775,241,945,376,599,759,559,254,772,158,668,876,022,
828,147,553,170,526,111,009,784,113,651,019,776,012,391,544,560,740,144,477,
641,114,894,411,800,039,644,888,076,986,000,131,480,618,197,299,886,565,839,
292,058,380,911,217,463,487,886,821,848,927,272,133,152,026,557,173,849,906,
079,652,752,742,152,325,307,082,946,338,098,640,858,095,769,853,713,837,894,
749,086,374,417,044,188,540,085,231,645,239,383,086,134,885,248,787,094,082,
363,893,050,924,950,208,065,303,290,308,963,097,833,651,851,320,407,702,410,
353,365,602,709,422,191,707,458,962,049,124,616,453,487,933,046,834,196,911,
876,979,287,942,693,802,829,720,206,492,239,698,608,913,059,992,437,490,422,
981,180,551,397,711,062,288,362,914,512,476,865,138,602,439,885,933,860,175,
696,465,100,859,745,514,256,148,092,608,079,942,663,618,617,115,818,053,654,
254,663,266,521,749,221,747,156,927,872,745,835,508,737,705,704,998,887,055,
242,245,048,944,495,375,487,828,805,698,326,451,506,158,264,372,208,920,263,
405,636,465,401,866,212,441,232,285,446,402,297,017,069,910,686,071,826,981,
528,854,923,635,629,237,392,666,462,748,800,134,791,658,158,792,854,191,942,
471,166,530,951,868,848,017,118,416,029,075,773,420,255,066,645,789,332,199,
554,019,501,593,449,803,610,015,567,540,286,006,636,875,993,646,740,252,287,
208,784,050,381,535,261,980,003,275,122,725,829,945,764,899,774,429,382,633,
127,753,593,495,661,936,491,692,135,037,710,178,799,888,447,802,047,324,173,
319,538,768,224,398,649,700,392,220,368,174,798,358,696,639,778,747,843,598,
780,018,391,586,610,912,183,767,776,251,358,824,105,813,500,169,415,240,362,
687,206,443,602,644,739,167,865,982,985,326,488,159,120,014,618,118,764,808,
912,862,988,381,338,253,853,141,600,735,190,209,016,909,507,588,686,239,821,
719,655,439,262,739,162,026,487,795,898,290,055,753,873,804,979,230,232,657,
828,227,886,206,308,388,789,286,652,680,028,601,761,556,006,698,022,977,709,
144,974,741,927,149,891,314,613,631,305,050,582,779,136,695,362,091,386,541,
187,363,349,019,311,451,569,381,076,970,738,149,830,645,354,092,845,656,774,
969,487,858,511,141,956,388,265,331,411,149,320,708,097,292,914,780,194,487,
774,990,812,502,140,172,596,171,636,110,681,515,826,942,796,269,627,227,738,
881,967,623,304,380,560,507,152,812,892,853,644,049,555,403,285,792,551,017,
238,359,931,950,723,502,841,510,445,804,762,526,851,438,922,268,718,775,726,
412,338,314,865,988,650,305,987,615,016,833,896,317,907,671,742,220,519,124,
531,624,986,164,598,758,998,835,240,564,202,886,393,687,147,177,668,468,681,
245,992,702,971,312,706,394,474,602,670,402,373,351,794,699,486,806,138,064,
758,958,268,062,359,044,412,349,226,668,835,968,154,865,974,631,313,324,001,
073,624,749,625,195,242,196,005,221,268,721,982,728,113,390,039,604,395,717,
183,790,015,524,124,216,547,388,233,989,230,299,087,525,608,773,260,148,817,
895,640,947,444,657,372,500,489,994,539,569,182,112,558,699,700,002,059,962,
512,308,979,224,660,278,645,895,943,983,996,775,347,037,523,172,097,532,130,
315,550,937,944,178,065,046,165,263,094,857,216,135,974,347,660,572,913,662,
496,026,034,569,667,611,361,546,979,703,599,346,726,776,343,687,082,340,311,
378,650,593,442,858,892,953,368,033,874,402,658,096,217,735,863,962,959,590,
194,196,043,714,280,535,298,580,576,548,115,031,568,909,916,189,570,014,514,
367,730,410,286,584,397,489,702,432,514,117,746,817,920,723,146,711,421,245,
703,557,381,703,207,515,950,138,384,547,392,578,980,298,680,823,556,392,436,
285,959,089,762,649,357,818,821,579,040,201,308,171,076,654,851,216,759,604,
276,182,699,850,593,937,581,336,669,355,659,930,062,843,010,099,558,689,479,
146,665,736,145,672,583,468,627,587,685,650,237,344,181,331,832,183,617,990,
553,339,346,685,923,146,959,924,703,365,188,646,812,549,843,793,642,043,560,
075,681,984,069,576,183,019,716,511,289,181,272,615,458,561,089,725,017,222,
657,574,089,637,571,441,395,179,997,185,708,823,522,027,502,717,601,729,740,
459,694,522,664,291,986,221,205,451,572,710,561,281,004,535,902,613,250,446,
467,448,990,570,746,207,845,066,998,005,917,534,244,919,745,674,180,266,086,
508,675,764,029,305,542,916,788,717,483,891,189,441,483,585,521,936,011,737,
095,990,745,320,357,846,393,248,845,552,907,709,737,287,367,894,311,667,323,
128,075,000,932,701,134,593,903,458,703,401,760,834,072,777,729,816,563,912,
438,637,091,025,132,118,885,722,568,140,787,100,919,873,546,383,993,854,402,
498,878,848,442,092,924,852,979,960,814,636,292,989,393,381,248,725,071,785,
734,394,514,886,602,071,433,119,744,058,790,696,646,299,485,896,223,240,369,
462,941,595,468,510,648,805,209,527,212,075,708,878,023,850,630,792,863,773,
073,700,296,834,484,156,767,320,750,185,718,840,739,017,854,894,438,591,031,
461,313,063,237,840,831,401,993,998,260,890,849,901,862,962,217,110,560,825,
410,127,205,588,884,436,230,931,422,059,537,436,855,578,767,198,369,780,463,
250,393,199,353,593,127,487,697,197,473,526,120,203,484,494,939,903,216,381,
577,965,534,582,084,353,765,990,656,531,537,709,883,972,256,311,616,038,700,
257,196,947,422,849,787,323,523,129,585,095,615,111,785,866,503,127,974,862,
851,281,737,244,238,889,162,324,816,348,299,187,120,726,606,950,837,368,980,
660,689,605,026,720,003,534,972,234,311,749,719,075,084,127,539,632,365,783,
284,986,899,539,028,208,884,287,566,133,717,250,041,687,099,703,887,865,928,
438,965,922,219,248,546,932,419,902,799,758,173,819,166,323,753,009,546,865,
259,029,203,255,579,702,066,596,808,472,414,252,738,101,742,767,823,910,188,
480,438,212,600,845,515,078,060,745,512,641,520,461,470,462,312,410,697,604,
656,033,700,228,658,825,783,914,097,239,259,233,683,345,458,766,277,508,745,
572,152,326,008,770,965,452,961,576,619,202,192,396,708,903,165,173,199,675,
265,003,335,020,795,145,432,742,350,722,668,705,950,131,746,656,386,160,832,
400,724,490,850,718,078,979,813,305,183,386,476,592,796,075,871,463,734,340,
069,289,553,337,385,822,056,335,352,087,418,254,897,351,618,604,408,423,982,
475,758,590,106,530,375,884,102,325,354,587,562,110,397,203,073,460,876,522,
814,775,099,999,074,196,671,201,239,946,426,958,401,021,860,237,121,707,359,
864,199,540,801,006,795,933,451,232,576,345,591,173,322,407,997,740,536,928,
277,848,630,965,796,226,983,934,019,918,965,486,172,824,788,558,866,865,606,
955,657,213,896,123,172,077,059,965,045,708,040,483,133,002,363,127,601,192,
759,076,252,585,937,582,635,205,845,021,607,241,142,142,569,495,368,409,138,
852,347,745,542,225,883,968,326,009,667,092,963,829,179,762,440,446,806,194,
668,482,533,805,316,914,424,578,684,009,664,017,266,901,671,067,605,731,030,
447,407,431,606,571,932,978,055,073,275,009,392,247,195,123,863,362,269,821,
147,435,598,793,914,473,162,327,654,293,711,763,021,536,445,306,243,833,884,
268,349,942,525,181,264,215,357,951,271,735,034,438,191,817,284,786,138,620,
822,844,417,346,797,575,439,883,985,582,208,682,945,878,255,386,348,967,177,
405,991,917,937,913,758,147,969,931,841,015,078,307,575,810,930,043,093,268,
484,473,547,155,351,251,885,233,543,782,488,636,551,545,617,739,612,853,440,
938,337,110,187,543,565,694,187,175,182,615,675,777,445,984,029,991,769,041,
661,561,895,419,334,351,160,001,708,893,837,202,887,119,365,712,966,246,041,
410,608,829,914,639,663,194,909,007,023,023,593,962,550,868,732,925,336,423,
211,799,121,600,373,955,792,686,520,253,412,312,766,355,736,946,755,487,414,
096,332,049,494,910,769,192,708,797,642,502,361,293,090,843,614,063,468,859,
722,792,341,425,832,562,901,262,593,646,890,995,834,509,334,452,707,638,541,
089,417,727,065,094,537,825,324,814,151,104,661,230,550,029,622,884,080,139,
278,148,642,282,421,223,324,477,657,626,139,311,871,183,151,698,218,991,926,
300,763,524,901,042,883,828,131,097,870,075,001,575,516,733,164,986,924,963,
870,636,112,583,474,995,301,703,080,849,140,891,353,954,522,343,317,254,057,
513,780,329,104,978,130,678,011,474,412,106,791,641,267,197,250,894,640,381,
043,725,778,580,167,682,279,451,384,181,239,136,158,357,683,640,641,417,714,
078,899,978,914,227,397,329,896,764,608,051,065,718,151,204,797,538,052,674,
222,550,852,324,447,703,580,647,058,424,777,528,251,037,816,012,567,520,828,
726,308,186,178,191,403,341,787,261,574,652,524,914,607,986,921,018,400,129,
994,364,420,746,220,556,400,081,067,696,246,628,419,494,972,846,839,978,007,
820,122,656,497,339,835,551,215,249,497,570,421,337,466,940,713,735,423,286,
670,241,180,128,765,529,354,677,692,887,542,825,611,716,771,822,396,974,556,
368,536,832,109,113,481,010,592,435,518,768,788,174,478,981,199,641,894,324,
155,043,867,642,457,041,979,802,051,660,963,463,211,079,727,513,893,839,418,
642,284,931,709,558,379,726,930,277,173,083,775,337,685,086,650,701,684,888,
507,955,204,427,561,002,269,206,790,315,840,359,451,490,145,955,839,866,606,
834,416,205,295,649,738,973,880,887,969,818,333,010,102,799,205,548,717,040,
828,019,066,553,070,223,909,826,259,380,232,765,471,278,558,550,234,557,804,
337,669,567,457,182,438,561,144,503,770,074,395,679,079,004,057,109,335,705,
511,880,659,555,829,142,070,101,879,369,290,447,680,778,226,966,236,751,875,
122,598,625,996,594,479,875,770,758,520,530,371,500,345,638,488,966,162,732,
978,308,446,174,368,594,268,019,864,005,705,840,799,544,077,466,278,875,573,
787,729,396,792,959,340,512,684,812,697,246,384,207,260,776,088,855,947,649,
019,939,090,472,801,126,296,265,851,989,267,592,171,408,682,052,538,653,378,
073,208,288,722,639,299,317,923,563,211,601,645,799,276,373,903,510,317,785,
496,157,168,517,415,857,460,443,979,518,394,250,785,660,635,494,766,446,074,
757,012,080,928,868,476,562,545,427,162,420,484,669,215,403,159,048,260,975,
416,132,175,150,280,394,247,564,704,628,357,977,200,449,905,912,483,068,932,
366,376,456,948,704,281,933,289,698,298,399,925,212,362,103,455,120,510,572,
622,498,525,566,017,860,184,553,664,234,506,412,744,556,312,326,729,952,279,
234,808,657,782,533,814,133,220,761,091,366,026,108,457,340,714,843,149,191,
035,589,545,285,266,103,560,795,941,038,285,885,878,886,514,156,974,380,108,
667,320,710,241,016,847,235,685,537,476,528,756,461,713,492,235,897,348,134,
194,459,573,784,960,535,736,586,951,726,502,484,905,839,422,238,202,542,098,
025,535,861,373,164,571,032,714,243,258,367,930,835,044,398,497,441,219,599,
014,436,150,129,114,742,036,691,378,126,763,887,703,893,382,803,604,953,061,
307,929,965,387,074,807,126,265,955,241,321,658,749,944,702,821,223,171,965,
720,425,725,100,367,558,793,139,917,667,793,069,616,001,500,995,967,140,656,
797,098,802,954,047,852,553,492,257,494,448,616,353,493,354,697,532,037,430,
361,442,251,543,687,925,567,032,214,082,241,306,288,848,494,533,542,740,281,
295,584,176,710,274,862,501,131,432,593,448,096,077,297,916,929,529,507,326,
505,955,873,648,912,074,464,255,904,616,943,583,005,516,854,056,649,300,585,
087,488,301,114,990,483,652,688,274,466,238,938,838,497,976,796,506,856,253,
902,990,720,207,308,313,531,148,416,601,901,552,283,177,935,620,229,090,579,
179,603,668,801,583,839,659,782,711,203,989,179,178,713,714,051,170,419,697,
485,753,081,830,985,184,573,670,864,209,046,254,775,655,134,086,398,022,864,
712,616,296,976,087,377,187,405,010,422,047,648,642,955,861,784,802,997,180,
032,519,719,774,325,279,349,321,752,046,518,677,661,762,584,353,128,502,174,
015,652,660,168,500,726,679,272,681,045,139,109,870,537,887,196,965,629,713,
416,071,353,092,086,339,347,869,981,716,900,283,208,473,052,706,364,274,688,
281,414,668,765,714,271,165,712,284,270,670,455,173,323,261,987,852,463,120,
566,982,535,993,964,568,252,893,968,227,149,069,642,203,957,450,211,546,108,
007,734,222,839,828,896,901,421,204,484,356,468,226,039,153,713,217,925,902,
547,996,628,172,203,616,489,956,552,920,223,545,833,239,431,658,834,486,777,
197,290,189,446,859,281,885,553,092,362,893,450,385,119,887,734,112,321,544,
483,968,469,148,687,381,805,768,119,591,756,723,996,187,210,637,769,894,847,
298,178,620,425,009,300,392,009,879,165,863,150,515,141,005,126,156,233,921,
089,588,164,243,032,235,182,012,604,103,924,550,772,211,674,101,060,767,438,
085,087,901,395,691,929,772,885,002,140,807,896,056,370,730,649,237,977,350,
246,264,965,364,654,145,587,019,041,593,377,019,840,290,161,103,099,915,945,
138,678,215,321,680,910,945,323,641,356,117,216,793,516,333,938,586,907,758,
022,215,801,859,267,943,115,461,097,182,217,429,343,621,012,298,628,456,528,
822,639,907,986,844,204,442,980,134,619,061,509,941,340,177,244,004,385,974,
379,592,813,498,483,763,368,672,969,081,127,816,234,589,881,269,907,712,815,
294,725,183,381,757,312,831,811,240,543,572,745,196,389,309,623,853,215,167,
563,926,019,550,883,575,623,841,177,436,418,212,454,317,554,952,973,202,033,
010,247,876,969,476,748,423,377,413,033,770,761,817,658,605,532,674,478,475,
359,226,215,777,887,053,116,656,553,716,823,321,738,877,261,117,292,907,085,
530,802,786,888,302,876,612,504,607,368,079,949,651,912,914,721,492,493,352,
059,423,194,086,272,711,337,576,579,305,502,911,812,243,096,482,862,209,428,
004,341,685,067,993,426,718,570,378,981,602,029,284,509,183,099,231,061,384,
088,112,729,941,300,963,959,436,895,180,399,408,194,472,529,557,451,798,647,
149,709,037,626,616,762,568,185,291,621,752,507,430,472,005,011,295,940,336,
149,528,330,929,624,178,572,785,315,508,832,449,347,874,076,771,524,970,783,
312,071,982,065,346,240,200,133,842,699,380,402,743,670,901,933,523,014,060,
602,211,056,407,849,533,005,994,309,898,790,650,815,894,057,097,068,106,671,
594,215,058,441,938,305,543,854,836,221,803,822,174,768,677,767,719,238,038,
683,952,320,149,817,332,463,081,465,575,899,015,949,856,290,252,033,958,612,
503,431,569,815,704,936,668,432,075,530,185,569,606,566,266,066,838,702,492,
228,268,887,731,830,605,194,212,497,985,022,875,622,408,200,614,034,521,006,
932,858,843,026,920,396,308,182,280,444,477,756,253,900,482,995,743,038,181,
594,963,615,385,989,145,235,912,202,842,019,851,119,805,042,884,202,823,263,
352,157,140,821,069,985,849,204,730,612,612,924,402,944,264,240,257,567,301,
199,079,738,387,967,567,429,268,152,761,977,356,962,626,232,592,789,586,695,
351,330,365,997,462,567,245,635,465,482,831,103,321,690,837,412,027,478,834,
906,304,030,819,207,499,680,997,744,506,456,814,616,437,043,437,689,693,587,
622,458,515,374,933,082,251,409,415,171,968,785,531,578,093,073,039,818,268,
721,417,575,643,952,543,082,268,111,761,286,072,469,004,115,531,805,626,409,
195,810,632,234,858,059,228,119,133,747,595,002,647,983,184,873,696,257,896,
380,152,702,272,122,640,602,570,044,188,836,668,384,322,590,397,521,141,286,
187,590,082,746,750,619,781,510,716,317,005,763,825,411,212,374,953,514,827,
340,516,450,310,081,361,760,111,225,036,950,041,026,325,673,473,811,281,036,
932,841,234,293,488,754,066,472,501,085,153,493,641,071,691,532,382,348,736,
877,014,230,509,226,795,211,778,632,174,770,701,246,212,941,407,539,435,874,
018,497,492,182,773,898,760,744,429,695,260,022,892,955,303,803,057,507,223,
826,239,681,861,188,854,714,602,708,471,007,927,658,661,246,522,927,416,188,
696,928,891,678,859,280,585,427,357,705,631,316,155,218,064,623,635,892,435,
548,941,287,305,253,046,680,894,054,507,739,328,685,877,738,509,398,110,225,
208,330,449,360,239,821,485,664,327,470,863,721,684,000,142,498,169,000,342,
661,909,474,045,297,201,741,007,613,290,647,469,356,522,254,924,861,812,494,
089,864,971,519,979,191,193,749,303,218,469,114,756,725,106,493,945,945,642,
607,580,257,099,949,138,528,364,116,308,330,361,180,306,119,336,773,016,769,
008,998,759,041,209,862,128,220,870,436,211,437,944,764,041,649,029,607,413,
012,699,718,875,748,563,690,590,085,511,156,369,752,537,762,153,032,927,959,
210,903,151,789,930,231,520,442,837,566,290,192,295,050,068,817,950,934,830,
371,995,679,722,805,019,927,986,291,314,295,650,098,849,703,586,447,450,620,
372,237,970,334,467,633,013,742,626,618,549,917,944,628,851,877,140,670,277,
033,448,175,738,359,853,584,143,640,407,330,579,129,698,228,057,351,181,941,
967,707,197,903,217,767,100,907,016,986,690,729,828,671,081,078,957,210,315,
334,241,837,110,078,632,382,354,573,168,482,646,842,372,031,352,503,902,762,
386,709,997,111,195,601,298,631,183,448,142,755,128,689,513,277,268,531,715,
083,667,866,108,826,575,173,187,287,993,801,057,255,434,887,250,959,654,949,
483,510,406,030,601,021,880,702,350,837,294,051,596,327,619,102,243,433,916,
744,055,743,275,199,447,763,915,556,261,497,274,520,409,121,495,196,051,702,
289,836,220,740,175,714,998,617,383,175,702,947,478,675,663,913,180,238,538,
327,883,007,310,862,849,612,694,307,562,630,930,816,612,956,983,851,177,820,
153,143,792,397,001,157,773,229,802,685,506,864,569,912,954,059,933,606,184,
989,242,949,495,301,740,790,743,140,370,994,037,506,906,083,581,316,729,804,
853,904,716,302,348,540,405,829,654,886,334,192,910,442,796,704,087,076,084,
014,349,302,274,535,646,529,137,311,085,295,708,164,014,395,805,474,794,132,
779,768,561,438,829,033,157,689,765,544,385,661,871,510,004,256,264,482,394,
984,344,308,462,969,338,314,213,634,687,285,259,592,104,252,028,754,806,903,
590,911,927,550,780,023,124,205,685,505,095,950,917,076,476,075,345,671,502,
181,516,454,557,301,715,223,922,578,811,550,304,990,390,334,991,481,863,087,
306,475,359,744,779,365,860,096,991,809,545,217,470,561,250,339,743,441,130,
633,463,897,521,730,792,288,064,064,270,902,302,486,744,483,661,401,255,272,
662,450,904,353,832,962,918,275,563,067,655,933,090,640,822,260,099,833,464,
605,886,669,243,370,455,105,543,727,320,982,729,976,760,227,310,926,474,735,
177,582,442,026,948,797,641,138,453,754,890,262,760,385,932,702,699,307,544,
004,463,153,865,366,357,304,502,102,161,744,930,314,138,582,224,920,289,395,
719,471,164,189,891,865,068,642,001,295,907,614,722,202,141,725,703,905,491,
267,144,126,203,363,638,725,476,607,302,304,112,465,200,728,963,793,924,488,
416,872,668,449,955,995,081,199,708,791,205,111,857,195,853,728,328,834,680,
721,139,739,398,453,908,879,464,692,954,898,389,953,452,594,813,553,242,275,
678,493,969,618,852,233,881,169,610,487,166,647,055,981,596,347,479,048,492,
460,532,466,535,974,366,006,693,946,531,295,348,730,188,371,187,304,310,276,
044,759,508,359,857,110,237,594,986,100,571,412,265,334,147,588,679,566,386,
146,305,491,891,275,306,738,743,417,905,091,451,866,832,445,469,439,218,739,
746,691,718,193,471,142,790,851,277,928,295,568,124,925,680,655,416,011,531,
960,462,226,406,680,679,798,705,877,150,413,032,376,077,333,833,875,752,408,
303,108,811,143,941,593,101,713,578,905,922,568,329,748,871,499,743,327,813,
104,289,206,646,857,372,168,035,894,950,581,564,556,677,245,941,180,579,546,
515,016,175,212,747,423,613,070,588,494,687,186,025,506,831,174,067,335,714,
491,137,002,090,505,043,023,431,726,841,461,370,744,985,170,892,257,077,785,
023,048,731,524,937,789,289,942,841,620,879,557,729,447,316,920,097,165,422,
666,515,569,724,828,940,472,877,484,756,549,451,250,606,242,435,190,246,019,
426,184,263,619,642,293,990,016,729,862,824,309,629,339,079,323,759,574,669,
295,210,499,706,036,393,551,566,330,325,458,313,458,940,366,016,924,098,126,
361,132,801,458,523,670,408,913,627,701,762,057,158,948,023,295,049,715,959,
899,052,579,121,158,996,883,179,470,860,769,526,688,813,331,730,400,680,929,
398,950,716,743,718,770,620,217,356,381,711,869,798,782,067,145,054,063,976,
732,438,439,820,919,746,973,223,493,784,216,576,852,982,026,466,329,359,911,
361,116,887,927,255,496,715,484,446,623,383,224,761,859,436,921,954,540,678,
670,022,748,754,345,523,320,752,270,392,499,258,084,978,896,421,959,857,828,
772,376,621,022,794,084,802,905,613,347,361,691,646,713,924,235,305,669,167,
361,781,708,424,859,160,113,182,763,606,036,030,974,684,868,388,627,637,590,
543,762,478,423,379,186,912,925,496,339,914,127,795,985,269,168,238,936,507,
507,815,707,097,883,933,883,623,071,786,836,437,885,982,156,984,500,938,412,
939,138,718,926,800,671,231,459,949,814,237,395,122,113,965,256,546,235,979,
184,173,227,870,249,679,780,292,171,934,599,489,839,463,060,604,927,743,348,
280,218,301,660,882,553,336,288,285,651,807,891,679,395,794,253,708,663,223,
084,029,273,476,514,639,097,140,843,010,694,904,763,723,021,538,363,292,503,
642,057,615,517,226,807,191,753,337,104,088,388,576,069,960,198,292,294,127,
771,754,363,478,568,102,209,731,900,012,424,757,810,688,390,521,925,610,269,
833,018,705,491,289,035,122,004,313,782,323,708,341,560,803,550,426,664,781,
868,788,985,458,902,275,504,351,253,925,561,072,261,307,259,034,993,225,471,
476,791,071,532,589,029,461,973,869,053,395,662,891,633,666,954,193,131,448,
015,984,692,282,613,591,971,902,867,912,246,672,978,454,471,407,282,568,801,
556,118,802,258,956,128,619,021,761,696,836,673,536,522,802,835,997,498,985,
692,054,972,811,977,235,114,364,100,309,698,165,662,071,331,400,975,176,914,
177,723,992,558,025,223,491,035,599,906,003,813,740,228,381,158,848,520,337,
090,529,693,035,316,191,844,012,040,041,761,351,427,166,591,895,363,582,631,
966,249,364,011,637,625,706,371,881,274,287,333,384,654,851,776,027,952,333,
642,534,335,665,564,232,988,203,532,901,611,550,108,305,246,522,901,595,502,
353,650,442,911,952,300,779,763,548,129,605,364,946,043,579,468,394,866,518,
664,432,686,447,078,828,432,541,938,165,996,414,828,057,589,264,841,668,872,
461,032,515,048,227,425,461,189,677,081,314,006,075,541,907,731,056,135,640,
112,726,966,796,999,524,575,309,646,452,753,517,807,326,710,344,492,224,448,
393,155,759,570,911,229,557,187,851,473,345,610,004,260,712,956,099,381,473,
249,058,350,165,013,005,705,016,173,323,497,116,033,575,176,266,371,952,988,
440,753,186,068,754,951,411,081,986,607,471,504,950,474,431,798,447,644,924,
816,855,552,044,039,941,186,379,490,551,858,236,851,435,293,936,217,189,210,
067,882,423,099,885,627,164,636,944,575,457,509,605,416,487,789,705,512,558,
707,756,330,330,450,083,834,602,934,770,952,025,835,722,017,623,452,055,219,
373,358,998,755,322,471,323,545,014,729,754,739,260,437,155,265,260,130,560,
242,652,092,733,780,735,428,677,479,543,603,776,681,229,048,685,801,840,585,
696,779,732,352,524,751,594,369,664,650,038,860,590,496,090,263,435,955,929,
160,294,862,763,026,414,865,118,711,513,321,764,129,099,270,207,943,741,788,
261,475,920,107,093,454,949,028,573,896,507,938,573,107,068,665,904,883,897,
817,961,900,291,957,164,250,152,289,837,226,462,371,488,282,956,182,708,386,
733,704,037,192,936,968,732,794,672,720,393,136,208,256,582,309,646,125,221,
125,580,568,755,163,683,751,408,220,739,653,870,138,763,491,424,276,418,213,
901,549,451,523,018,759,070,306,227,385,561,293,393,063,412,948,407,816,612,
847,241,240,103,654,844,028,778,342,453,459,528,888,452,292,620,498,641,402,
647,817,787,713,191,675,255,713,594,055,473,891,182,309,748,151,646,570,796,
493,097,634,524,825,931,227,668,576,631,818,605,993,574,177,146,684,124,659,
498,109,942,902,190,270,314,107,331,018,795,298,216,303,072,600,158,355,325,
674,745,632,746,283,966,797,006,312,659,129,671,635,971,014,328,447,858,924,
001,637,317,057,743,004,231,191,213,818,090,226,550,082,577,673,490,684,092,
188,144,396,523,465,085,315,519,461,616,944,229,615,422,922,237,768,187,839,
106,164,122,064,436,682,834,831,059,133,934,332,095,356,379,055,747,322,916,
476,196,215,121,737,543,504,918,343,067,961,390,254,059,232,553,349,072,216,
249,997,164,502,644,924,863,209,576,648,148,005,922,693,611,785,948,672,620,
278,703,452,135,066,567,475,584,921,398,607,392,411,455,499,823,970,152,879,
508,514,525,108,520,825,326,687,190,521,670,543,789,252,963,911,980,085,299,
533,808,368,179,724,003,023,774,132,475,234,991,140,741,722,853,856,519,970,
404,140,226,857,017,740,473,255,923,618,921,447,492,758,605,099,859,522,179,
064,029,277,546,539,329,402,040,029,833,708,801,753,105,409,407,849,153,687,
927,629,906,524,076,554,764,090,375,729,451,665,718,527,534,452,889,834,510,
549,019,673,291,232,935,019,254,764,163,617,559,439,208,308,750,328,312,835,
421,468,048,371,276,797,511,435,639,865,310,059,773,224,142,999,404,535,932,
897,617,326,797,279,237,706,359,673,029,343,196,738,927,844,421,153,921,505,
293,206,880,963,779,724,275,602,923,380,732,303,041,086,539,023,842,726,623,
642,482,737,773,164,396,218,038,502,646,481,781,674,921,527,158,249,623,386,
531,627,565,939,643,129,425,927,187,429,248,536,428,224,972,850,597,590,762,
909,194,090,061,651,698,846,130,658,121,196,405,438,993,934,768,200,995,200,
864,853,884,329,072,109,007,348,644,578,905,026,233,283,688,031,448,729,265,
948,615,317,779,052,388,250,365,913,175,325,043,956,549,633,185,678,670,687,
087,642,039,231,597,314,884,839,240,511,021,145,500,154,331,057,990,140,999,
150,375,711,928,515,613,707,483,184,255,999,096,841,909,096,001,391,039,436,
134,560,584,266,637,723,851,410,330,078,579,625,497,213,054,392,545,585,945,
046,475,629,404,062,008,665,772,511,742,626,898,105,903,887,766,356,117,050,
138,313,329,246,581,645,447,983,802,808,096,715,979,014,242,823,430,756,631,
640,012,410,266,043,862,819,811,339,578,535,154,790,099,236,606,474,402,630,
716,552,036,739,196,205,679,369,038,357,867,556,190,301,264,072,377,007,002,
801,224,095,800,272,189,728,120,175,349,587,439,886,521,006,010,082,583,673,
068,824,249,709,896,241,894,799,665,163,705,783,713,531,299,658,074,746,108,
286,472,862,422,985,448,420,384,079,385,085,205,849,866,397,694,570,325,497,
137,102,570,373,438,525,941,367,637,884,901,308,944,839,743,268,837,744,483,
010,815,475,511,167,276,689,878,761,652,489,846,516,900,947,737,383,200,030,
333,844,443,912,771,398,701,583,290,348,226,091,862,617,239,587,410,845,349,
257,083,047,068,889,111,092,369,458,532,964,659,218,689,136,802,447,293,654,
273,539,459,818,847,708,857,057,536,923,125,721,054,930,623,665,822,903,144,
608,856,779,851,821,470,378,599,896,467,836,942,153,067,541,810,164,399,872,
649,954,021,373,115,537,557,590,515,999,130,516,493,709,083,543,882,642,747,
984,531,985,000,944,202,845,445,828,908,908,410,957,412,538,109,840,853,866,
241,641,881,404,367,122,900,076,105,545,323,416,316,211,782,421,842,669,267,
020,473,898,266,955,983,970,654,734,680,866,293,817,509,820,721,050,907,050,
051,147,944,336,681,155,274,471,428,418,627,189,957,459,474,147,881,367,080,
132,774,817,040,022,725,057,498,774,185,558,925,435,026,600,984,967,659,430,
546,344,102,565,761,292,255,018,703,708,515,265,268,868,397,342,814,136,769,
159,562,699,039,828,644,819,561,237,959,184,885,849,509,976,858,856,343,109,
542,294,346,986,747,073,839,488,938,388,785,466,445,635,311,871,480,287,964,
546,738,311,470,226,168,421,224,085,229,799,779,562,118,619,202,808,308,148,
009,283,450,472,604,418,845,911,908,996,840,451,649,451,213,576,588,471,733,
026,581,070,012,178,014,697,916,004,155,864,942,997,472,085,344,967,439,382,
605,540,399,748,702,316,213,596,413,994,032,161,711,856,653,594,825,679,097,
697,360,589,087,338,220,355,976,793,934,645,235,623,586,705,258,068,750,036,
001,403,288,597,712,926,794,695,718,670,398,075,084,255,367,953,331,663,048,
016,486,241,791,092,546,828,238,959,168,359,705,345,730,083,548,734,988,411,
267,234,652,056,135,810,247,116,514,501,958,932,683,559,424,501,532,602,142,
536,000,881,420,102,733,990,376,285,194,770,675,049,431,618,617,722,965,987,
468,644,877,694,034,443,093,093,589,563,836,072,687,045,791,775,402,023,365,
633,879,510,073,967,294,947,999,500,038,528,804,464,288,615,649,138,806,027,
040,011,905,168,576,926,945,363,739,903,106,415,346,168,294,573,722,531,706,
440,816,471,370,716,358,001,836,107,409,758,388,981,034,292,207,716,574,140,
277,380,535,346,274,652,459,439,519,504,785,870,661,766,340,554,988,825,391,
397,356,995,298,741,604,178,126,304,600,414,133,163,664,319,563,540,799,975,
736,404,735,368,684,027,828,932,275,957,015,161,782,560,649,925,021,356,733,
800,702,599,310,851,578,486,038,146,324,419,300,065,034,358,494,562,729,752,
879,464,752,322,902,650,417,840,162,079,939,131,115,011,182,999,205,244,226,
115,412,400,979,094,210,327,100,824,021,331,753,641,670,570,119,727,448,915,
362,809,498,924,398,398,179,505,698,122,201,169,979,806,965,488,200,502,788,
701,073,077,131,333,774,571,006,470,927,895,400,304,500,852,959,736,320,288,
788,462,774,898,351,820,505,291,687,285,661,091,484,466,722,754,374,294,926,
276,091,591,317,124,018,547,444,955,467,612,080,023,344,718,595,428,216,437,
995,031,109,171,004,104,347,202,726,697,144,269,419,439,204,563,855,436,122,
132,549,786,476,435,685,068,613,953,139,841,849,219,851,296,005,075,324,472,
500,073,772,775,695,848,299,100,175,750,192,255,761,542,494,957,347,042,031,
221,863,194,424,661,437,945,155,913,737,933,981,174,180,381,116,649,492,946,
733,244,097,619,280,234,741,950,060,945,564,857,156,153,384,655,100,973,074,
602,752,523,223,048,025,796,986,003,689,343,771,732,483,558,834,884,960,948,
100,010,599,199,764,046,704,699,102,393,784,453,706,001,032,250,706,312,983,
337,934,693,544,695,986,001,557,053,649,056,194,371,850,176,858,006,332,362,
489,381,191,588,429,404,889,706,604,329,154,486,194,582,000,121,350,563,576,
415,241,431,919,557,410,444,382,288,010,575,416,370,800,083,609,104,027,762,
343,096,822,585,475,424,025,479,371,378,985,806,086,900,824,951,225,929,237,
606,475,156,532,062,157,669,249,222,255,826,000,027,766,621,166,866,278,861,
672,548,795,467,672,764,225,901,336,772,977,681,293,462,911,499,335,837,320,
264,652,942,881,065,716,364,989,635,655,626,434,952,293,632,444,771,716,755,
916,281,030,186,155,323,624,793,747,325,292,409,084,309,040,911,713,481,163,
314,287,998,775,181,415,810,963,339,083,085,011,765,720,522,496,527,748,994,
333,609,934,583,978,674,322,929,999,680,304,374,004,758,832,541,612,761,605,
936,126,466,408,375,625,158,661,987,251,371,289,365,002,781,932,266,013,497,
014,524,452,614,993,336,347,347,133,269,010,077,699,930,949,197,722,421,630,
555,594,894,705,157,230,906,579,933,115,501,422,423,627,870,332,381,979,087,
287,329,826,441,560,656,475,041,316,509,691,259,752,894,042,091,359,542,971,
633,473,481,378,039,102,720,421,141,440,225,172,659,487,132,913,448,269,464,
715,421,086,065,412,391,263,433,721,123,321,822,770,180,012,090,249,780,702,
547,993,449,467,791,814,046,947,109,243,773,854,107,044,051,377,589,932,539,
862,017,897,319,803,247,200,035,781,930,889,030,498,358,418,676,720,978,223,
358,064,292,702,578,376,957,345,409,032,670,259,428,310,974,790,502,636,343,
789,500,599,931,022,595,602,849,664,110,722,562,745,531,873,661,122,622,233,
678,440,044,412,007,670,621,298,913,608,413,000,207,877,413,132,926,110,724,
833,035,268,189,081,906,760,947,997,196,046,075,633,738,998,945,888,161,149,
824,193,504,632,420,631,097,303,800,149,356,630,899,224,834,867,115,600,157,
155,245,802,979,336,967,973,283,161,979,064,284,274,963,817,128,646,439,695,
474,330,508,679,263,833,186,074,849,591,520,439,650,452,450,401,226,188,167,
149,201,257,219,191,191,928,046,624,127,326,149,203,124,409,285,206,254,909,
991,457,856,035,609,551,077,090,707,637,072,720,423,589,536,458,743,834,748,
950,543,182,464,530,015,480,254,661,295,527,253,738,169,688,403,502,931,011,
783,343,080,428,470,959,596,546,531,605,190,940,372,962,652,216,906,844,659,
854,482,914,581,407,507,250,395,730,911,182,962,298,825,344,308,254,489,847,
300,385,922,829,071,702,965,982,048,886,531,193,622,761,935,400,057,668,858,
000,596,256,237,658,425,250,339,302,188,441,325,030,589,812,890,438,251,172,
219,745,916,018,148,742,941,293,750,920,157,032,868,168,696,073,870,613,335,
889,314,798,505,682,226,034,625,473,303,762,715,907,328,090,301,245,560,192,
813,578,835,752,524,151,284,812,828,135,628,682,905,738,976,860,286,860,301,
767,356,947,473,284,402,569,878,586,911,042,696,096,906,771,543,130,497,384,
062,781,064,510,062,745,260,486,888,098,315,029,018,523,270,970,169,056,110,
877,448,053,772,694,739,219,266,105,513,534,479,047,144,804,866,710,869,014,
264,053,073,739,235,296,539,651,935,945,483,931,798,000,847,176,256,374,021,
174,996,596,745,825,106,438,764,639,635,226,246,443,178,423,356,605,458,001,
267,950,427,241,647,440,412,819,171,109,821,127,969,280,533,496,707,656,048,
247,671,545,609,315,631,983,127,464,133,571,257,692,763,041,096,605,739,128,
845,450,314,193,748,959,108,856,345,880,953,985,953,186,477,916,547,022,071,
401,117,031,381,941,365,969,727,844,978,254,489,967,559,787,186,594,123,524,
316,795,987,962,295,563,955,269,731,497,600,151,306,244,316,931,939,467,829,
610,475,000,805,738,620,435,731,965,587,191,787,538,792,399,726,336,051,393,
637,812,659,151,568,061,166,505,766,713,945,935,792,678,721,096,433,845,291,
015,561,816,244,203,030,927,121,556,836,998,165,973,035,020,487,835,968,415,
553,223,174,777,194,959,930,441,336,800,179,483,927,207,918,935,463,911,543,
680,591,065,106,701,239,451,424,695,971,982,627,518,531,080,191,865,602,567,
528,643,081,940,959,391,000,616,461,091,959,014,076,681,045,013,969,659,455,
322,790,529,218,535,662,879,544,781,172,868,608,592,007,207,639,170,675,445,
523,542,648,524,802,489,912,093,700,823,163,858,897,804,615,725,552,009,862,
127,813,783,862,556,226,177,002,620,021,780,607,968,426,865,237,649,071,757,
312,947,327,943,155,904,553,488,824,307,409,269,328,960,987,082,222,671,919,
291,985,359,304,748,841,530,590,613,482,329,764,264,501,658,409,012,879,435,
471,393,636,391,818,630,232,879,658,377,596,540,388,037,106,315,699,197,899,
983,883,759,282,460,321,055,661,230,008,850,679,818,742,946,700,638,522,267,
601,288,280,158,927,238,181,128,756,926,275,076,881,808,695,061,001,078,044,
618,834,651,815,758,241,306,477,146,922,623,830,486,389,986,251,021,878,715,
917,110,038,626,067,390,336,627,337,639,269,414,714,314,932,875,331,028,230,
823,308,224,005,464,490,489,330,284,619,107,230,173,626,162,253,148,651,339,
448,182,898,120,270,412,143,289,438,113,124,554,547,221,226,786,475,307,394,
335,012,963,022,190,419,503,569,288,659,463,047,324,657,976,482,146,455,632,
898,313,077,243,197,582,636,118,387,043,419,560,038,916,858,643,568,747,728,
996,997,815,637,625,452,411,405,266,091,966,598,964,329,945,812,332,767,409,
245,407,905,832,386,339,008,768,219,028,029,459,219,393,780,229,118,184,780,
326,442,408,918,559,237,713,862,092,918,106,587,900,569,900,012,385,659,094,
659,781,813,611,684,000,135,528,004,077,069,750,259,742,069,153,719,916,648,
204,109,345,199,876,938,814,866,632,491,240,569,066,599,109,822,451,656,189,
506,042,236,450,356,834,273,516,415,918,626,084,541,014,698,635,756,664,122,
844,169,896,326,843,597,578,609,025,884,264,622,946,637,468,880,526,884,841,
876,295,485,332,510,221,825,267,194,141,795,651,207,800,997,368,081,135,564,
852,232,227,622,524,486,877,201,842,538,354,020,359,506,742,278,986,392,817,
052,214,384,295,728,754,342,490,947,295,000,750,276,728,834,266,139,204,140,
856,705,400,737,905,002,545,979,891,009,257,401,194,126,828,279,835,472,865,
419,996,985,294,667,625,252,568,440,130,511,223,204,308,890,873,712,562,072,
229,256,698,246,643,128,393,110,134,318,312,261,899,754,497,384,857,529,914,
808,676,483,946,885,087,672,516,839,405,153,560,129,196,118,580,678,943,148,
474,215,600,136,131,945,410,367,188,842,908,160,191,774,855,255,505,851,193,
070,376,004,195,837,540,325,378,634,326,784,306,823,681,604,673,366,881,897,
061,969,841,523,200,698,251,936,071,189,305,404,041,686,583,585,646,147,310,
251,481,546,365,217,304,978,192,301,590,345,338,776,989,630,111,334,631,935,
218,214,878,935,558,221,320,578,411,836,880,358,629,108,146,508,040,619,459,
120,076,697,534,398,772,773,108,492,016,220,782,944,417,634,256,254,558,360,
487,308,715,812,562,641,516,136,917,301,971,363,169,287,236,880,339,390,993,
033,106,822,748,584,273,225,612,216,948,001,844,808,734,939,623,768,538,182,
849,117,608,960,756,832,879,538,736,651,475,764,480,320,630,155,380,840,157,
411,358,227,870,703,235,124,866,481,191,622,041,914,667,950,443,088,287,035,
079,822,697,249,630,676,687,234,119,290,360,778,314,366,276,662,813,959,147,
913,661,895,080,634,158,955,691,424,721,806,265,785,184,606,585,018,597,472,
906,113,256,446,196,712,362,758,684,997,869,245,799,747,569,507,795,215,317,
250,985,805,843,453,732,827,807,762,350,539,052,598,118,784,588,902,901,118,
918,429,304,927,142,444,675,485,693,577,430,822,969,533,997,388,581,115,997,
284,513,901,214,095,792,007,894,875,407,906,165,213,182,965,639,469,104,026,
719,522,176,551,603,477,003,172,428,097,413,854,811,074,773,075,066,622,270,
973,301,564,917,228,329,839,014,400,551,371,904,017,173,014,081,330,909,230,
947,986,139,451,964,948,288,117,646,978,488,856,479,581,791,058,695,672,256,
581,204,731,143,056,622,789,884,382,043,841,618,478,111,885,897,231,436,220,
724,915,641,935,757,064,671,031,649,846,830,445,896,709,621,230,079,515,981,
227,886,430,492,354,234,371,410,912,891,220,050,929,731,008,026,681,717,915,
934,499,615,726,140,370,488,786,864,987,955,850,676,262,267,751,723,581,042,
934,983,193,127,931,511,760,055,463,200,104,506,599,353,051,133,305,069,923,
297,281,162,164,201,690,038,151,817,678,812,303,027,131,359,748,927,910,222,
305,096,129,559,468,974,957,596,344,853,285,596,579,521,885,056,072,962,583,
440,173,235,610,248,424,489,066,955,419,593,922,695,883,257,037,787,673,830,
679,880,908,387,154,642,764,014,435,029,736,528,788,352,537,611,698,874,936,
602,319,745,367,428,775,066,947,704,754,320,543,965,643,490,789,118,901,048,
260,478,042,518,390,451,000,847,852,231,296,226,044,924,267,403,180,955,035,
789,223,631,214,799,167,371,910,716,175,314,805,049,494,800,152,453,824,330,
500,960,295,315,040,833,077,022,237,476,257,525,891,541,975,112,673,748,942,
824,770,983,993,270,366,976,887,750,495,570,673,462,868,973,386,232,888,682,
180,479,912,533,138,720,986,040,327,687,726,665,975,534,943,448,157,427,143,
422,175,182,167,969,884,995,834,693,328,739,664,572,767,820,648,189,846,694,
574,367,849,312,539,271,503,324,733,571,364,051,692,391,175,697,946,263,305,
763,080,681,185,241,190,688,058,760,001,338,290,767,043,807,573,841,240,442,
620,239,699,303,674,949,556,382,104,503,073,570,387,999,466,869,491,292,731,
428,092,955,351,077,712,606,541,288,446,413,615,402,169,956,199,795,003,983,
173,996,569,692,963,626,537,687,275,327,985,447,342,176,388,584,986,243,160,
629,674,490,996,925,882,893,606,066,447,421,788,616,187,673,687,615,842,767,
036,070,549,833,862,947,759,611,453,819,299,263,278,106,978,549,520,718,816,
219,277,197,105,377,840,034,912,623,521,916,064,162,518,763,873,358,439,161,
028,435,727,552,767,664,652,687,691,313,259,236,488,598,946,387,617,087,417,
374,171,340,352,122,786,532,859,883,353,264,603,165,532,067,123,521,881,419,
432,075,050,793,030,521,316,103,573,731,978,808,268,154,493,320,872,145,007,
564,306,140,156,605,090,500,490,243,612,992,511,946,075,507,654,208,403,071,
820,929,519,754,563,494,124,652,470,149,033,223,118,560,141,133,638,777,029,
748,891,083,427,351,755,155,637,367,685,568,004,308,666,995,229,907,296,739,
626,738,188,006,681,157,643,784,488,635,002,409,192,695,323,940,698,080,675,
689,770,531,512,158,445,232,971,141,506,684,818,222,373,611,094,973,484,843,
804,692,407,826,280,209,674,556,955,189,267,398,015,453,945,053,651,282,045,
225,248,441,432,262,097,103,446,275,832,130,886,653,060,825,463,057,461,762,
366,274,006,678,153,256,108,848,831,233,752,070,542,753,387,425,127,132,909,
940,259,305,591,765,127,922,018,539,964,058,761,499,791,080,246,793,079,041,
650,781,970,517,809,760,972,101,740,315,428,540,024,389,553,549,770,288,291,
786,697,316,918,474,453,760,627,537,336,069,607,861,416,633,934,538,672,745,
552,043,683,911,377,123,184,742,610,437,925,166,617,841,758,390,609,205,387,
765,026,698,864,784,070,363,458,925,048,340,536,046,148,867,069,507,115,373,
303,953,661,950,174,387,457,528,270,266,864,863,586,116,855,323,272,522,446,
084,987,412,657,312,334,583,826,399,743,182,842,448,297,706,955,223,707,872,
084,375,294,240,236,033,136,241,429,149,968,828,906,661,666,544,052,807,542,
339,598,587,429,694,048,658,109,250,048,871,577,410,119,214,815,821,273,704,
922,056,269,244,979,453,060,713,175,046,192,854,718,173,318,969,163,372,291,
350,635,132,141,772,284,795,439,479,794,200,843,674,803,967,983,435,012,414,
965,011,955,657,047,192,391,023,683,774,310,794,605,534,730,806,484,078,790,
134,711,954,929,599,820,289,601,221,591,574,809,862,525,546,455,714,587,459,
954,884,840,539,472,544,087,402,685,743,547,604,867,828,344,229,179,639,751,
904,159,507,716,232,939,880,383,352,490,684,366,037,005,641,184,695,089,555,
175,457,984,995,358,831,419,401,820,706,355,349,586,079,904,250,544,318,387,
571,713,643,049,625,174,558,535,807,698,333,747,274,897,650,341,872,465,060,
646,785,977,149,727,689,795,281,085,977,827,971,157,718,040,370,751,429,806,
447,247,897,235,887,067,607,612,461,804,946,302,291,420,613,485,198,418,115,
103,888,017,589,194,927,017,136,729,006,599,517,330,842,725,441,065,614,116,
503,436,522,683,115,467,003,454,686,364,147,479,899,209,895,589,540,182,737,
100,878,646,966,776,322,133,460,730,225,130,077,290,980,002,957,318,797,328,
778,960,574,268,587,512,025,065,688,967,513,476,531,695,832,551,687,828,412,
178,210,224,493,013,316,836,189,893,180,159,889,473,300,469,066,380,139,945,
351,725,079,677,684,172,865,317,642,848,051,828,947,206,308,268,159,505,648,
877,883,282,125,059,390,864,365,528,427,974,514,554,898,515,476,210,274,905,
623,178,067,848,935,708,797,371,369,819,418,404,560,701,708,748,241,839,023,
473,780,536,545,795,037,746,581,421,480,077,577,197,846,067,214,259,423,286,
031,607,390,957,433,700,262,359,128,200,967,628,910,224,117,301,871,521,509,
467,152,879,035,327,465,096,400,044,699,691,903,125,193,762,258,483,625,661,
356,391,049,768,365,572,621,997,052,779,841,011,233,145,255,113,920,720,802,
856,031,727,071,231,512,504,552,406,605,675,953,156,585,011,320,167,376,873,
781,906,329,576,445,522,384,378,874,096,548,717,809,242,899,543,368,357,988,
928,211,864,569,817,969,645,770,127,010,564,674,570,358,687,438,905,561,307,
331,602,247,689,235,517,003,188,652,765,570,348,259,749,334,703,375,613,843,
781,916,422,654,474,624,040,546,075,009,155,673,416,569,036,352,840,777,425,
378,134,850,951,259,303,807,479,155,599,349,920,899,350,313,393,934,721,038,
389,790,467,311,058,089,024,508,434,330,865,586,345,153,693,063,628,670,374,
770,944,393,836,974,532,300,655,461,083,129,033,868,130,730,662,114,534,705,
528,622,346,761,536,083,326,256,777,207,834,652,469,204,969,992,210,768,650,
978,850,145,089,131,599,437,736,503,951,551,690,688,461,937,654,960,973,794,
940,554,504,543,359,246,496,387,405,230,609,545,517,873,383,058,439,697,909,
749,092,294,843,018,430,315,193,152,158,207,795,755,079,671,164,472,906,974,
728,075,328,069,880,030,229,003,529,230,611,452,839,538,252,702,813,270,175,
334,058,858,528,506,740,502,026,485,272,169,539,501,245,656,907,731,253,429,
054,434,346,546,375,786,919,969,564,775,015,330,821,257,874,702,232,460,596,
387,828,545,623,076,510,204,368,151,940,965,697,312,343,473,954,779,344,855,
743,323,057,892,376,567,579,372,087,943,668,228,354,126,338,871,761,196,714,
631,683,550,430,807,963,372,754,399,278,654,564,040,775,897,797,073,368,450,
554,631,594,076,527,094,969,811,518,670,683,166,157,020,637,012,642,960,871,
167,024,635,051,902,540,792,468,313,083,972,125,810,704,634,314,888,674,634,
698,921,765,492,995,093,747,543,436,524,540,212,687,947,123,811,419,516,609,
449,976,012,038,405,406,345,478,760,254,683,377,000,289,470,875,329,863,725,
094,246,244,048,848,289,089,215,480,216,601,736,809,424,548,590,824,001,531,
745,499,125,097,358,555,649,248,777,927,525,781,706,454,681,598,118,156,169,
459,615,384,073,130,764,757,794,612,037,377,016,285,001,467,657,488,226,703,
104,397,105,179,261,434,719,043,543,219,694,891,217,825,162,613,836,232,063,
076,032,443,518,076,545,310,357,433,141,622,087,004,576,097,637,052,618,933,
522,686,022,193,578,307,094,864,035,630,902,097,146,538,599,179,101,962,947,
992,876,195,734,008,740,724,729,607,021,148,854,039,865,784,397,187,818,899,
610,963,322,745,646,510,011,065,107,176,612,518,070,719,010,455,622,536,976,
997,933,052,796,101,211,682,561,627,993,488,136,675,372,801,803,403,407,776,
243,995,660,255,366,973,056,499,493,930,718,154,378,811,561,005,265,305,846,
049,415,500,445,884,753,585,220,966,286,622,342,705,733,834,724,502,780,820,
304,772,988,928,570,315,909,697,826,761,237,692,210,578,550,882,568,822,539,
948,162,730,375,385,174,784,655,741,057,994,184,103,401,343,969,770,998,784,
418,599,117,414,176,678,155,909,597,971,557,705,143,674,390,654,161,595,226,
233,617,636,499,786,468,616,548,275,114,812,522,334,121,745,809,250,097,267,
194,953,924,807,388,968,854,853,608,682,433,273,652,142,041,051,435,986,754,
888,244,821,651,906,936,448,809,947,669,885,396,874,918,069,283,794,158,354,
948,358,589,930,615,801,402,100,631,578,089,476,844,412,328,659,279,236,868,
140,864,132,578,697,170,494,963,330,822,087,611,395,730,869,701,323,425,534,
247,904,900,509,429,605,553,345,251,477,271,577,083,051,133,502,005,796,121,
483,471,770,370,731,633,637,199,520,792,536,259,073,519,994,307,650,179,105,
536,101,307,800,344,382,658,030,694,434,235,771,972,773,983,538,860,921,775,
194,094,018,181,236,418,362,853,507,939,477,325,100,548,359,218,946,121,564,
195,019,320,959,804,397,436,816,619,653,849,818,878,392,603,676,204,070,696,
208,016,475,359,792,983,682,024,873,154,506,533,005,688,252,004,127,367,846,
291,129,314,805,048,511,440,627,687,782,330,785,925,371,607,626,522,587,723,
263,070,631,412,617,043,295,087,978,643,542,234,277,359,310,113,574,490,018,
207,436,576,862,656,196,769,551,078,382,870,748,420,180,898,307,737,760,445,
813,749,100,827,194,353,792,278,179,476,246,402,104,965,162,589,454,154,834,
574,730,592,848,566,709,595,649,667,526,383,044,422,991,280,899,891,676,972,
508,187,694,296,462,056,483,724,812,026,705,142,939,452,058,452,758,752,501,
899,811,088,855,143,001,108,973,752,233,566,252,529,828,275,575,294,170,343,
519,873,878,863,714,324,592,334,670,716,221,728,921,558,429,272,015,622,893,
397,839,883,386,244,686,896,788,161,745,739,356,449,378,730,446,798,873,426,
032,073,520,408,441,437,248,402,700,178,253,619,236,228,437,528,823,432,009,
456,106,113,639,481,578,070,650,239,084,280,316,813,025,310,967,866,244,733,
550,902,070,999,920,141,357,516,779,082,646,501,164,024,108,303,003,134,045,
234,525,015,067,474,967,299,541,977,954,802,636,946,989,036,805,203,689,660,
630,368,698,105,658,816,629,559,320,598,021,693,776,052,938,102,969,754,694,
609,979,946,435,497,607,034,709,096,352,164,697,540,683,728,089,745,520,075,
054,023,348,734,668,946,580,602,483,098,822,171,677,505,939,368,522,871,062,
269,631,908,787,254,430,273,053,818,837,062,836,375,531,024,427,484,511,187,
812,512,401,342,404,354,354,682,682,263,220,786,430,034,290,659,312,017,497,
808,447,558,028,832,161,902,123,652,185,532,249,840,782,089,086,957,900,968,
705,700,675,390,352,533,968,393,631,982,165,350,650,755,965,194,473,761,733,
532,377,628,867,513,319,322,640,644,438,221,330,814,036,919,554,245,734,256,
337,859,707,866,940,484,718,443,640,089,888,180,686,797,514,400,554,963,271,
535,588,991,401,966,929,801,716,701,720,632,862,086,234,217,458,056,861,966,
120,953,134,654,041,227,006,153,628,097,529,634,761,085,520,536,502,614,000,
354,579,305,023,977,483,086,217,855,033,261,681,037,331,646,819,439,032,371,
148,367,401,752,779,868,520,886,795,820,622,445,788,163,513,822,570,756,247,
282,895,957,901,680,509,937,848,836,628,401,996,919,205,123,874,954,302,398,
058,610,382,849,037,751,959,816,591,738,617,199,750,074,112,922,599,691,471,
373,879,840,397,060,634,813,293,715,822,333,108,502,053,987,511,015,397,423,
770,108,901,722,045,230,287,769,207,445,262,302,749,265,797,246,193,664,207,
638,888,210,203,070,083,771,560,814,281,066,504,043,288,630,534,255,197,736,
573,747,214,817,360,830,436,338,037,924,422,322,870,909,712,706,462,532,872,
149,499,728,234,757,368,391,686,571,844,074,313,402,244,815,533,321,591,326,
545,954,419,031,131,181,229,084,871,957,214,002,714,603,860,133,071,915,148,
851,922,023,553,585,297,969,805,381,521,196,867,523,563,558,977,469,278,282,
565,635,207,891,666,568,383,270,355,817,511,284,436,051,915,396,151,990,665,
811,912,799,197,267,392,333,159,381,909,207,913,143,974,418,022,550,699,830,
159,206,996,521,242,744,520,562,295,140,358,701,886,590,577,069,293,612,602,
085,841,883,367,209,874,221,893,574,760,021,048,094,461,607,899,006,782,801,
510,455,586,130,504,983,620,636,550,778,945,500,594,816,490,909,933,411,257,
273,208,367,387,999,049,911,063,812,280,434,095,289,344,110,242,017,738,181,
921,709,710,477,680,029,833,474,688,989,298,049,872,385,202,707,414,764,500,
845,152,047,331,929,477,268,428,365,278,389,585,496,785,375,674,768,454,476,
082,081,169,388,731,961,975,685,808,048,693,051,704,593,751,054,567,533,897,
087,375,785,588,335,889,015,984,504,830,777,424,672,502,018,129,630,036,161,
778,908,868,680,331,848,855,488,668,151,235,846,624,385,579,724,331,749,970,
853,776,229,888,115,648,471,244,646,526,077,768,531,335,286,331,739,105,146,
236,736,311,814,957,647,777,514,401,303,556,078,798,987,876,991,722,731,866,
886,044,892,867,507,220,343,558,611,202,901,556,096,710,276,457,458,681,392,
672,195,951,801,315,380,582,382,905,744,356,395,117,330,288,591,311,414,544,
055,669,247,623,855,872,192,928,614,027,375,433,324,397,428,898,030,574,752,
721,267,544,149,199,879,515,274,087,880,957,462,502,048,412,768,573,194,499,
790,133,269,262,016,902,725,827,225,247,332,992,781,337,540,916,589,437,365,
810,687,698,137,146,555,136,710,491,577,942,886,747,647,087,845,406,273,860,
327,751,038,470,961,893,042,061,868,173,442,655,638,939,038,489,147,200,945,
096,641,577,004,423,858,758,201,982,996,271,489,174,087,109,676,721,659,286,
465,202,532,756,802,623,174,098,927,283,101,306,870,946,597,180,594,777,753,
888,771,779,556,451,786,823,611,768,851,327,087,285,885,857,061,388,948,417,
156,754,804,815,528,131,352,733,874,711,713,389,736,362,503,931,262,883,093,
868,152,345,852,677,805,845,915,961,395,743,935,327,803,430,736,830,250,249,
238,985,516,330,194,101,519,820,635,886,777,685,354,791,288,177,341,243,302,
705,051,928,967,244,006,237,753,972,842,698,861,476,391,815,410,398,901,266,
116,774,693,729,500,782,704,236,941,832,594,056,937,442,268,046,634,429,226,
998,269,768,672,110,706,989,170,612,866,162,092,463,002,633,795,977,287,567,
537,498,704,953,331,444,612,971,074,987,119,205,492,663,221,221,282,855,093,
828,433,464,061,499,907,623,096,141,353,631,289,302,586,428,568,062,190,228,
967,966,954,099,742,089,332,433,862,624,293,995,215,188,396,967,663,495,198,
152,992,647,054,212,744,052,342,220,652,824,295,717,294,323,168,515,469,163,
765,824,408,390,263,650,065,036,025,035,276,600,379,851,352,353,841,762,479,
601,221,036,333,374,846,688,308,562,798,930,492,628,552,887,620,148,112,207,
763,017,966,327,086,613,771,532,513,040,796,479,124,968,866,193,986,825,598,
767,544,656,653,988,962,934,808,204,777,349,384,083,285,444,418,568,668,648,
887,525,944,896,790,160,209,402,617,779,105,302,336,645,259,306,699,617,032,
638,298,292,071,197,210,781,315,687,649,805,636,398,126,415,749,563,379,146,
478,274,788,151,504,056,333,232,789,614,085,950,363,295,374,101,634,371,765,
494,579,590,211,862,753,395,588,341,190,195,341,840,210,732,077,439,828,863,
375,648,324,064,023,482,858,857,677,978,030,859,215,440,774,987,900,521,277,
063,516,451,871,640,205,843,391,303,740,284,661,550,720,062,301,501,578,784,
295,461,311,908,150,950,424,692,805,401,269,749,928,781,171,991,629,655,989,
228,853,428,823,359,831,809,520,533,182,440,923,899,623,958,908,498,457,522,
192,694,507,828,821,759,152,685,594,898,170,808,722,560,815,415,437,684,120,
458,956,227,748,753,732,109,457,837,109,421,270,519,144,234,768,832,672,504,
048,773,936,430,534,079,748,495,300,558,761,150,440,940,449,394,715,619,610,
198,338,512,828,860,605,517,103,488,553,759,931,965,023,114,775,290,569,075,
187,927,518,386,033,844,471,081,570,958,707,381,043,799,806,183,260,437,735,
070,282,123,810,846,158,215,132,330,338,687,535,901,951,913,732,964,977,130,
681,727,769,282,216,357,352,402,733,602,842,177,623,760,868,679,852,243,361,
791,611,845,737,651,159,848,377,457,187,221,649,755,027,210,466,686,129,539,
757,597,314,391,888,986,925,955,164,728,271,907,478,770,758,849,396,425,546,
707,710,351,811,412,502,171,077,666,981,608,712,168,651,037,538,443,234,012,
705,628,069,984,372,056,046,927,767,900,714,625,873,665,152,063,985,835,708,
580,125,076,410,139,947,006,347,921,218,331,130,633,717,053,101,004,839,733,
416,240,523,115,987,916,933,855,589,136,657,938,261,579,524,260,866,443,407,
148,002,631,564,130,216,017,672,818,558,604,613,230,810,912,481,484,052,651,
466,997,035,532,773,058,895,132,829,314,426,328,661,465,312,726,472,977,587,
939,578,131,202,526,101,505,756,720,048,605,648,812,994,635,368,778,579,506,
980,059,861,809,072,658,682,911,013,184,162,347,754,249,270,857,467,502,476,
717,199,383,608,088,472,906,673,514,972,422,970,892,404,994,193,125,867,502,
817,288,786,737,415,971,910,946,838,540,471,577,789,872,865,784,440,599,604,
368,921,183,884,773,977,966,249,530,347,944,049,279,047,332,637,602,584,979,
435,059,352,936,803,162,888,995,832,577,312,560,593,540,913,100,954,701,025,
677,749,611,993,324,212,103,086,447,826,781,931,701,992,019,713,772,418,109,
424,798,985,889,117,075,788,026,612,547,736,460,950,715,668,401,200,114,885,
998,089,695,678,595,559,968,572,380,964,768,227,726,239,812,009,533,333,606,
054,463,671,101,997,830,255,895,170,045,163,162,420,573,222,104,959,342,790,
971,071,389,965,881,978,913,250,519,354,877,950,437,132,061,168,787,898,495,
113,876,575,680,259,495,071,854,526,911,460,150,529,994,543,012,953,657,656,
444,936,428,840,092,056,096,123,628,269,311,664,007,132,896,716,162,903,055,
195,515,283,386,301,806,744,323,457,030,203,971,638,480,482,643,638,681,523,
936,662,919,887,175,917,637,461,810,918,944,144,869,741,502,660,512,045,361,
987,853,754,943,252,717,209,073,977,998,111,365,859,662,972,058,775,105,504,
009,452,782,139,504,775,968,266,415,297,601,174,458,493,218,202,095,242,327,
809,442,539,735,861,250,290,048,591,621,700,805,721,561,058,117,763,279,717,
328,788,178,895,492,900,355,948,195,865,735,792,211,363,877,787,728,732,962,
830,617,831,261,150,028,164,341,482,877,962,727,501,608,792,696,227,245,490,
399,714,475,464,221,232,446,597,473,895,798,816,549,965,140,935,520,113,102,
666,037,177,809,635,882,383,687,970,068,779,235,250,525,511,828,201,253,345,
707,156,699,643,866,748,822,968,634,707,432,706,062,209,213,756,039,153,723,
245,549,400,944,128,132,944,193,598,003,887,040,205,183,102,530,668,135,967,
318,211,926,987,539,410,582,320,179,094,447,238,122,976,167,829,960,142,547,
568,727,307,486,008,634,910,351,637,349,667,272,390,717,708,970,583,085,302,
863,140,299,368,026,396,902,190,853,471,304,141,564,886,002,663,488,812,832,
180,118,261,029,758,315,103,456,541,852,331,874,275,183,160,732,762,935,210,
730,654,926,811,552,832,552,554,720,957,180,376,909,601,714,558,458,331,717,
921,733,627,418,483,835,209,685,900,084,929,527,142,631,064,786,433,884,106,
078,995,937,061,387,013,585,501,716,880,601,123,938,172,500,085,914,341,583,
668,036,878,721,523,638,278,612,888,576,898,953,779,584,479,063,355,024,110,
928,442,195,702,819,828,359,509,428,534,841,429,747,293,367,421,365,609,145,
107,379,859,924,189,683,626,396,547,218,749,932,084,381,988,949,712,706,591,
888,873,848,781,687,301,464,572,552,441,939,692,146,403,451,528,315,420,098,
470,640,094,138,385,825,280,063,490,100,229,684,572,261,622,176,564,216,117,
174,327,425,853,324,557,343,301,898,446,893,391,360,244,740,630,191,689,509,
224,951,279,909,573,089,560,686,909,713,695,497,573,842,674,010,094,601,179,
572,279,084,706,960,840,883,686,374,342,375,744,244,962,604,025,931,366,834,
990,455,206,744,787,357,532,985,383,599,816,365,273,099,281,889,330,858,162,
059,582,896,827,063,383,525,854,419,842,728,618,015,663,430,637,849,549,865,
780,347,349,864,008,592,835,042,077,111,511,532,643,183,891,344,004,507,972,
542,262,931,056,574,752,898,053,807,746,556,386,548,232,083,562,945,256,909,
168,006,132,509,549,150,575,978,403,956,572,526,415,627,968,850,646,542,581,
599,267,527,725,703,650,785,465,559,722,409,450,325,979,876,750,719,257,269,
832,375,590,187,815,039,338,689,612,123,434,203,248,242,357,592,122,073,779,
305,410,556,154,596,115,761,253,794,720,179,124,207,870,905,738,904,200,590,
104,312,734,270,612,647,034,355,401,360,111,542,576,797,619,282,721,723,451,
111,274,639,231,952,931,807,605,792,208,408,819,794,076,584,871,302,508,376,
782,027,790,089,467,291,041,653,443,252,673,705,513,495,476,435,135,748,382,
600,355,937,507,309,249,518,357,955,791,925,152,749,299,238,245,403,961,257,
167,372,302,534,047,650,988,663,226,962,554,890,957,286,389,227,266,479,510,
964,370,567,203,041,077,228,505,139,402,607,200,554,986,123,517,856,073,235,
334,259,961,630,347,373,889,206,045,446,885,034,252,891,565,529,219,334,330,
878,510,262,582,418,026,058,740,722,048,440,147,401,598,091,782,046,461,609,
143,875,014,245,004,499,375,397,195,239,495,774,964,564,148,980,407,272,146,
583,723,512,998,212,713,563,209,699,000,701,804,170,680,097,675,676,872,472,
931,516,826,862,293,976,056,814,704,969,953,270,754,321,285,575,669,176,087,
501,202,098,515,572,164,587,946,409,702,947,974,221,837,357,181,432,454,944,
902,861,656,069,051,052,297,311,694,326,268,028,753,410,713,921,957,766,344,
312,590,040,180,831,212,586,049,939,510,354,126,832,484,413,420,638,875,907,
303,375,548,783,563,741,229,902,235,294,538,014,460,936,035,181,961,490,573,
132,541,860,700,433,009,131,693,241,473,272,907,106,360,517,859,326,454,066,
820,781,272,951,573,452,492,681,782,597,557,920,138,859,766,809,763,487,453,
755,989,504,650,735,175,373,124,956,434,087,328,087,847,795,607,049,923,858,
946,773,943,806,084,780,347,917,289,532,195,204,752,028,659,235,318,446,808,
156,743,282,266,801,711,848,801,910,276,239,400,180,108,614,606,587,553,660,
525,232,624,934,083,293,888,309,362,773,097,078,555,126,713,601,602,974,516,
763,373,675,240,952,404,492,299,267,465,732,438,261,563,644,105,271,453,158,
017,619,047,620,683,025,174,397,214,695,295,526,058,840,842,990,859,843,277,
490,967,306,118,767,749,503,645,586,877,430,200,173,807,179,343,123,012,251,
436,506,563,818,076,838,214,258,527,187,314,652,392,238,545,913,362,184,964,
047,943,084,451,329,915,107,172,871,883,400,602,910,145,836,554,111,055,798,
480,847,636,103,336,359,757,517,152,105,634,420,077,238,272,500,714,094,950,
912,575,313,636,408,580,416,909,303,159,598,615,876,445,265,256,367,735,375,
924,566,629,525,895,239,567,874,606,029,784,430,590,048,008,278,839,461,695,
774,245,856,314,730,169,903,164,474,269,283,654,208,561,077,598,948,502,738,
021,033,658,624,440,897,011,219,001,814,815,660,020,678,965,401,360,757,384,
275,268,172,152,536,181,642,794,833,852,752,755,004,821,733,017,435,560,778,
251,638,591,663,596,290,604,241,140,881,709,656,461,914,034,950,683,796,738,
199,995,593,697,105,633,931,059,270,101,255,831,713,754,054,260,682,195,116,
468,310,279,967,197,352,549,644,957,828,509,529,256,672,025,878,757,267,668,
381,782,535,780,818,806,454,906,758,257,006,239,673,982,258,701,363,313,626,
868,496,957,622,848,978,879,356,264,407,394,627,488,092,434,320,215,843,024,
366,347,653,587,101,846,381,160,187,843,920,807,447,642,955,328,116,956,385,
476,850,435,558,977,281,350,746,913,209,562,417,131,655,686,271,049,323,544,
862,990,486,126,966,074,567,903,820,642,399,416,531,986,938,891,183,729,307,
655,912,336,122,495,872,652,082,237,848,505,219,818,982,175,855,973,258,433,
074,126,847,254,194,170,155,611,040,401,604,618,690,232,277,246,103,277,023,
211,268,199,779,444,031,025,953,588,509,417,839,016,341,255,698,387,528,548,
685,582,728,793,587,439,843,236,244,153,622,462,761,173,059,251,760,007,185,
982,541,714,304,232,054,189,905,268,635,863,636,964,135,869,822,677,598,201,
795,129,576,600,602,584,934,637,282,159,976,175,563,103,377,409,141,095,893,
274,296,071,599,520,025,518,260,658,755,445,306,006,236,779,468,405,077,636,
378,799,781,721,085,131,180,560,403,263,512,082,700,101,465,873,466,854,879,
408,153,165,676,412,317,230,642,022,966,583,013,695,112,858,154,523,895,192,
186,731,596,623,010,686,695,857,736,275,520,353,437,803,658,338,830,828,785,
553,372,355,081,829,413,019,719,804,223,851,770,427,807,897,546,474,315,892,
744,763,148,801,687,483,534,372,914,661,270,436,141,820,435,390,057,106,667,
113,280,745,117,255,061,660,866,393,090,200,207,885,559,633,842,798,612,245,
391,356,985,135,242,349,538,243,211,187,487,652,773,474,697,359,621,232,613,
411,634,060,361,563,606,017,533,949,773,000,795,825,379,644,891,696,425,273,
735,489,202,940,849,299,544,877,501,806,579,766,505,354,737,496,359,118,846,
931,626,252,028,735,158,142,819,195,341,214,151,722,562,827,733,915,297,585,
784,780,001,700,220,304,357,944,379,000,858,309,692,511,137,388,614,969,365,
744,679,950,495,330,741,298,559,315,858,378,384,602,397,190,041,583,309,040,
848,643,408,842,347,193,247,590,298,301,155,025,686,410,095,857,348,193,306,
159,036,173,794,053,839,596,940,431,790,333,747,254,875,412,383,904,045,537,
215,076,840,887,230,328,194,176,491,886,533,572,609,399,628,801,467,416,818,
562,183,676,250,792,943,142,449,069,236,747,869,998,694,229,070,713,755,960,
950,464,961,039,352,608,872,164,614,977,731,767,045,581,199,538,483,634,099,
218,283,821,994,487,741,729,098,623,603,461,956,147,912,690,790,176,873,044,
866,428,655,926,631,293,594,106,051,659,366,073,673,643,532,540,458,583,474,
147,743,245,135,952,920,816,900,519,178,395,076,375,487,328,319,461,540,286,
203,617,667,877,670,941,876,056,707,101,839,961,295,577,363,499,371,738,417,
492,620,110,073,204,687,281,027,730,656,630,298,446,187,540,212,843,050,075,
012,593,462,320,048,505,643,319,230,556,721,258,583,748,246,311,207,732,170,
704,675,129,761,801,982,445,951,322,318,158,773,857,900,325,921,939,620,813,
634,152,164,164,069,381,825,338,395,648,749,867,282,618,319,636,126,418,711,
540,863,925,180,331,075,739,416,749,154,200,206,395,966,140,799,914,964,806,
506,878,033,741,666,554,594,533,345,016,071,263,486,798,036,561,948,660,621,
712,492,750,674,349,101,996,597,351,066,439,061,589,398,122,250,793,258,965,
372,713,231,685,121,165,843,712,531,689,893,557,684,748,061,365,335,180,129,
356,122,900,711,246,630,817,478,927,647,190,854,670,973,541,254,973,101,524,
878,676,455,732,304,941,379,261,451,819,666,086,969,032,306,052,129,479,734,
869,496,082,246,384,300,008,191,202,167,986,055,466,652,184,355,002,086,401,
354,776,420,080,366,329,264,527,865,407,366,641,824,401,155,817,499,381,441,
995,986,940,158,959,474,980,506,882,491,230,652,717,450,444,282,141,760,325,
852,910,085,052,651,396,713,707,123,484,799,352,919,154,095,708,855,823,952,
070,158,328,966,928,113,224,444,632,580,659,113,695,202,084,856,310,137,688,
734,297,220,018,439,485,461,869,501,313,876,087,565,418,052,550,849,405,786,
033,044,201,950,785,303,564,193,336,529,995,824,026,678,803,005,749,611,903,
625,258,516,283,862,486,263,875,101,273,404,512,541,904,774,812,439,684,306,
873,012,059,723,835,617,309,624,896,659,609,548,800,045,932,565,231,365,845,
366,547,058,959,413,023,017,071,501,253,206,414,155,049,537,933,607,719,357,
577,860,096,749,004,345,358,378,734,911,834,922,203,860,318,681,676,858,910,
039,364,967,627,610,992,097,675,268,526,532,393,850,703,148,467,734,786,539,
663,348,000,645,128,519,237,632,213,202,410,548,680,234,832,436,442,491,549,
408,246,888,120,404,433,464,972,879,801,485,734,792,912,624,090,629,487,717,
875,545,779,436,892,354,330,333,443,284,055,495,701,955,211,710,853,950,648,
298,850,660,240,467,345,100,145,802,016,872,911,026,516,250,840,404,832,932,
388,305,888,144,462,797,051,869,253,712,393,421,191,014,163,767,820,707,543,
151,562,049,208,084,409,484,244,867,911,480,066,262,604,642,081,449,779,239,
983,399,203,346,233,654,760,544,227,538,375,585,899,001,445,800,291,400,569,
062,877,599,950,473,316,746,832,750,512,196,475,453,343,872,483,343,384,176,
477,359,625,184,744,862,180,996,623,143,869,585,350,672,306,763,351,483,320,
270,829,982,144,893,668,151,519,045,213,306,464,047,538,921,202,448,426,105,
351,512,816,309,784,947,348,284,116,635,954,883,968,135,530,275,787,467,702,
445,733,760,042,159,214,668,900,002,043,483,572,601,821,502,951,684,612,386,
709,864,329,946,268,342,480,361,791,188,951,238,979,176,881,797,002,843,036,
476,684,057,248,372,875,876,423,796,726,837,033,591,244,897,416,904,063,015,
495,350,340,041,208,051,398,601,676,829,523,854,608,848,212,362,309,056,778,
835,633,790,742,330,106,500,418,517,658,434,730,809,587,576,817,802,400,586,
752,523,312,159,387,857,514,459,948,831,448,424,093,661,878,028,881,232,612,
537,557,823,235,935,519,489,282,567,346,939,723,087,425,717,072,545,589,861,
646,693,218,043,279,153,218,086,812,714,368,297,227,829,865,949,548,423,841,
823,156,597,477,540,127,244,085,501,374,532,537,526,023,152,224,252,367,857,
531,174,974,831,645,414,866,936,835,383,799,024,137,812,536,502,356,815,666,
482,365,637,978,524,715,218,915,731,709,814,610,068,454,687,608,394,155,946,
684,044,191,290,211,918,565,431,522,349,923,366,138,851,900,683,263,131,171,
525,284,150,243,078,013,801,904,272,935,834,244,208,160,120,815,883,537,059,
189,609,977,579,828,184,747,788,772,213,418,020,743,649,517,462,033,380,783,
783,563,574,486,425,812,052,349,542,888,392,829,322,740,119,611,660,034,503,
096,127,341,048,127,565,532,990,341,213,247,824,287,767,968,155,570,310,974,
282,893,723,548,433,877,308,653,193,482,667,246,765,749,188,823,450,991,021,
663,913,372,438,313,242,679,796,433,510,985,283,580,788,083,502,018,698,260,
464,253,657,959,648,934,146,696,530,167,037,339,964,876,364,059,851,987,146,
620,661,847,116,617,027,854,447,912,842,723,392,384,026,861,769,573,034,971,
483,482,833,668,747,134,249,697,485,048,897,655,798,711,415,829,717,062,493,
041,895,809,205,886,946,546,245,579,296,069,762,939,261,337,697,522,887,370,
688,732,184,461,297,062,531,289,117,212,361,898,255,466,193,458,888,779,925,
796,891,724,380,759,688,640,068,669,372,251,388,231,208,269,198,050,544,101,
375,085,014,874,473,893,307,380,033,042,722,757,208,570,379,760,533,335,878,
359,968,431,814,894,195,465,093,037,364,639,486,128,177,050,236,816,705,626,
335,851,302,910,054,774,852,083,190,118,155,791,424,587,624,792,396,950,805,
598,520,431,939,541,082,771,024,350,881,536,285,453,568,380,173,848,817,473,
986,343,710,909,032,853,496,051,372,190,490,139,523,957,737,805,501,968,175,
725,518,225,214,647,919,575,839,972,849,939,148,078,779,871,597,989,201,326,
749,682,133,632,404,446,972,769,426,422,554,047,802,863,780,951,547,396,784,
500,479,921,776,918,962,223,889,314,471,449,715,619,007,792,049,679,585,247,
097,580,125,855,132,415,115,927,620,178,727,268,373,592,769,444,650,796,377,
433,903,385,919,543,716,702,409,439,322,655,266,147,502,697,323,563,872,579,
383,185,483,767,280,210,984,836,908,194,816,826,987,148,220,912,319,789,543,
388,019,053,259,936,120,837,524,126,152,748,463,696,334,544,530,117,904,598,
002,424,977,835,316,044,400,563,802,424,661,811,540,561,131,632,482,863,576,
979,716,073,246,825,224,738,837,430,636,362,833,858,235,511,723,435,344,954,
354,618,254,881,058,304,298,642,475,405,572,038,236,415,499,080,260,012,554,
218,535,289,375,971,943,100,233,001,353,553,782,429,069,916,910,886,915,630,
282,494,189,913,433,830,262,015,542,767,921,557,726,336,100,063,539,949,399,
516,952,477,263,255,006,245,974,703,317,286,765,267,069,434,434,380,266,428,
604,030,871,375,262,733,117,868,624,471,521,763,693,304,275,818,034,739,698,
218,364,425,022,141,099,928,952,280,085,372,448,627,512,873,617,305,126,313,
871,070,103,168,427,390,542,329,346,809,643,507,645,901,119,745,743,218,800,
765,949,024,831,001,090,860,671,097,367,992,480,985,263,621,883,711,492,865,
764,139,419,178,943,242,974,194,030,591,932,141,197,718,717,741,530,370,495,
551,752,866,806,924,133,936,505,331,747,573,556,402,488,576,931,123,223,080,
249,521,209,407,773,904,739,633,074,627,682,475,967,483,184,631,809,481,183,
245,380,579,549,526,049,718,628,838,569,065,543,363,703,813,657,804,860,934,
660,179,099,130,786,244,524,621,234,836,576,089,465,702,658,992,118,196,596,
191,781,611,389,301,100,437,981,391,800,941,946,457,208,790,149,427,798,771,
709,990,403,764,818,645,315,167,115,199,542,804,220,782,349,549,341,314,781,
229,580,026,061,446,478,908,575,312,172,684,799,023,797,651,426,919,687,199,
485,173,155,902,802,585,641,238,725,287,150,021,903,703,985,274,660,517,628,
103,864,472,045,053,893,254,889,819,606,423,709,845,329,133,053,390,403,897,
070,104,643,476,666,978,254,501,253,954,755,959,276,762,051,318,546,543,023,
617,338,268,750,832,645,825,623,947,703,384,541,587,621,178,051,758,539,575,
853,848,290,211,786,937,223,738,078,363,750,467,750,980,199,410,475,870,059,
112,830,060,084,384,198,874,129,049,345,494,584,862,846,285,623,930,017,175,
012,341,641,365,896,841,275,802,166,087,478,970,750,133,439,290,263,906,709,
593,784,639,036,661,429,905,323,181,377,337,469,254,406,449,949,135,045,067,
113,721,461,395,150,831,514,290,742,622,425,611,695,226,966,966,970,160,441,
278,174,474,428,747,690,717,427,034,611,769,262,681,510,229,298,538,961,229,
069,330,901,825,097,491,911,113,727,612,506,574,095,129,853,186,202,446,865,
410,120,284,194,695,247,241,893,371,342,324,807,753,665,420,908,890,400,169,
741,978,252,509,562,978,042,333,201,366,368,649,408,236,460,107,340,380,089,
564,408,281,236,113,749,355,445,263,594,630,022,581,729,522,735,876,649,412,
560,169,384,482,924,568,120,833,276,354,049,350,869,052,532,704,183,199,841,
966,344,144,754,553,332,284,942,263,980,677,155,561,742,069,606,671,378,525,
570,673,055,306,678,731,060,492,968,232,466,055,633,036,788,536,489,466,123,
116,235,786,465,446,345,164,112,501,323,184,719,243,654,608,944,907,569,242,
318,092,857,187,542,686,156,708,898,840,603,475,970,765,940,978,805,026,163,
492,873,727,070,367,100,230,045,796,857,619,172,011,298,845,268,647,402,118,
592,863,808,245,411,008,584,381,957,636,872,784,054,191,300,061,014,502,541,
217,438,702,916,369,708,161,347,413,016,528,219,901,151,899,437,987,521,418,
102,696,627,659,368,437,520,169,912,064,476,821,430,951,119,554,576,968,574,
814,223,842,815,694,180,888,982,616,831,714,637,818,552,123,953,734,108,905,
617,416,958,149,676,032,441,282,853,108,777,021,235,791,994,038,365,883,732,
992,979,516,787,037,526,482,213,421,917,282,221,470,500,049,843,897,755,587,
294,188,564,409,436,114,252,672,973,076,993,837,632,967,247,616,779,376,837,
688,304,338,637,378,866,091,070,918,370,671,226,957,755,383,032,906,396,397,
109,995,332,762,510,012,387,701,266,459,590,448,270,097,661,800,350,248,129,
690,259,503,998,855,422,937,247,418,241,482,974,139,108,085,699,366,064,512,
153,779,866,668,312,084,714,952,975,562,055,546,449,565,560,308,692,352,433,
244,908,043,324,176,958,219,807,526,368,132,488,726,640,647,522,553,212,375,
368,226,646,712,487,860,673,630,248,354,442,355,864,188,128,526,246,552,880,
509,042,626,898,923,322,464,223,930,035,254,151,432,582,081,505,319,672,995,
299,384,042,907,220,292,479,888,147,693,836,407,444,523,208,506,344,546,053,
304,348,867,237,981,789,630,951,235,786,799,184,853,736,951,971,619,526,388,
838,575,755,063,912,397,947,610,221,278,934,079,769,453,649,096,648,143,542,
889,513,078,972,127,978,282,616,113,354,905,176,320,975,007,293,647,653,799,
133,645,737,602,434,374,044,505,046,390,732,158,282,568,601,647,613,170,317,
056,836,908,049,621,294,503,403,089,511,692,137,905,342,801,357,107,931,744,
092,225,277,000,214,521,627,268,810,626,358,917,086,545,895,585,859,171,363,
407,427,348,516,339,081,993,280,140,074,362,078,077,268,954,656,324,502,434,
752,462,783,240,992,738,830,202,865,625,855,806,595,272,116,314,563,995,357,
577,597,001,272,229,874,278,660,989,529,025,104,022,410,384,430,989,998,826,
972,391,119,952,446,356,601,570,873,722,732,345,938,424,671,050,751,843,649,
759,918,722,970,344,035,961,232,565,273,990,053,302,253,820,080,224,544,678,
085,559,410,224,468,514,600,016,722,088,827,447,101,057,608,766,973,698,916,
562,923,471,395,182,567,055,555,034,084,316,881,703,985,018,679,099,345,520,
098,008,446,897,133,448,706,658,656,006,556,631,448,780,839,484,338,285,772,
017,745,873,997,256,135,605,036,134,399,652,277,878,197,324,353,423,182,906,
719,841,131,571,853,569,407,032,210,982,950,444,077,386,116,977,696,298,221,
257,995,721,440,008,141,238,151,007,764,582,014,084,794,877,507,689,066,324,
287,368,341,958,343,907,214,919,897,096,822,942,505,268,927,470,607,661,374,
791,392,666,333,428,851,786,075,717,653,728,352,277,249,578,884,802,544,725,
683,868,449,514,117,020,020,476,268,227,305,253,188,747,246,917,675,244,603,
551,106,206,924,019,126,304,130,177,967,309,561,708,620,969,101,598,694,740,
647,640,807,904,923,100,361,175,356,580,798,603,669,106,677,517,833,049,204,
761,576,137,552,346,560,722,498,202,478,838,505,557,028,575,503,539,748,013,
757,144,355,259,031,277,783,647,613,966,583,501,932,370,423,878,714,703,619,
439,239,131,047,124,120,515,263,119,926,906,854,976,833,154,213,222,572,314,
279,391,680,850,716,811,437,793,348,936,637,022,477,496,354,903,700,143,261,
694,140,584,285,750,660,005,544,760,903,220,916,408,675,612,480,720,051,819,
812,988,386,058,534,854,936,131,596,925,389,236,070,445,701,656,428,318,598,
060,791,738,548,563,390,369,373,538,173,294,605,731,126,566,395,022,988,916,
444,534,075,539,805,749,875,589,183,287,664,046,783,706,554,927,935,687,618,
888,145,554,750,684,958,050,996,364,182,833,798,667,245,974,780,231,870,993,
482,719,058,172,117,974,307,046,180,187,019,005,532,737,706,055,183,111,176,
433,505,575,171,914,978,719,047,452,605,693,478,090,060,609,160,249,919,253,
208,684,059,151,325,336,904,709,176,522,179,517,890,119,403,016,609,509,927,
557,430,776,107,169,553,653,234,925,170,521,450,589,281,672,146,206,749,429,
301,275,117,811,628,902,345,924,854,984,955,120,561,828,800,196,856,936,640,
520,929,201,521,593,362,722,788,986,161,872,825,609,280,075,305,755,426,598,
746,020,472,428,502,522,258,458,989,879,224,907,139,363,822,033,303,242,216,
631,251,519,750,029,585,732,425,470,297,498,745,974,355,306,828,936,869,621,
726,782,060,673,574,585,690,677,721,669,442,070,837,252,285,305,733,222,429,
505,645,389,305,037,800,849,669,189,794,915,578,807,612,751,712,487,260,747,
367,536,145,808,450,687,441,405,503,998,274,248,096,520,145,751,917,341,230,
097,107,038,499,422,033,029,862,293,283,457,955,626,060,231,518,457,299,542,
143,362,181,385,539,215,991,052,011,375,848,318,326,272,276,709,785,651,693,
000,305,280,833,452,656,211,691,788,792,559,002,368,365,066,974,899,319,215,
175,617,453,291,262,781,261,419,178,631,577,274,288,816,173,446,312,538,699,
271,551,931,621,381,649,203,918,281,762,078,875,153,623,687,140,026,759,279,
496,680,502,793,691,901,244,817,236,053,588,162,812,892,750,472,323,652,606,
614,305,899,353,035,738,480,292,495,226,437,208,216,728,754,085,922,786,984,
783,211,343,197,119,048,406,391,398,368,441,839,825,910,284,773,150,861,825,
744,333,413,712,818,195,846,942,435,103,978,638,355,561,330,121,192,961,077,
985,371,124,345,668,891,052,534,419,225,649,992,272,060,840,470,156,741,272,
092,439,119,615,292,419,396,439,237,447,554,636,187,705,877,180,850,391,766,
719,470,990,866,038,496,502,156,762,526,449,445,080,212,804,627,072,683,852,
360,278,439,951,572,696,834,218,914,621,146,102,533,707,219,904,141,625,215,
904,726,345,187,539,718,069,735,596,582,587,397,146,432,128,747,123,378,705,
651,533,151,058,976,431,364,213,560,947,463,398,784,484,879,829,108,315,463,
635,044,317,718,067,797,556,682,991,269,278,413,537,135,895,453,758,853,127,
910,929,577,591,558,180,696,056,120,684,326,740,274,078,608,401,260,407,413,
059,127,650,881,378,821,627,649,020,629,199,728,025,443,018,523,251,624,145,
456,406,992,016,481,289,634,672,367,384,059,370,701,583,005,004,207,306,827,
586,508,312,871,257,680,638,994,584,835,643,900,593,975,254,332,720,632,131,
173,374,980,498,191,994,428,249,145,749,420,422,451,976,240,470,585,149,521,
245,001,207,267,378,480,623,425,251,665,936,593,522,716,961,864,734,576,485,
193,764,759,181,944,134,938,512,097,655,096,584,870,691,435,892,933,408,361,
983,185,327,529,824,752,059,514,935,548,116,064,464,157,197,679,227,368,310,
404,365,759,899,498,079,358,422,592,454,301,254,109,078,293,511,895,976,315,
406,383,260,431,345,627,836,661,439,745,548,902,352,718,252,210,559,449,462,
499,960,559,506,737,362,620,482,154,499,884,689,888,644,285,014,092,416,755,
203,234,682,612,047,596,356,293,788,776,652,396,417,813,334,213,758,654,036,
559,216,848,667,234,445,937,800,090,220,253,400,424,421,241,775,281,431,428,
331,008,322,388,686,796,785,208,324,149,195,820,203,735,501,535,853,139,376,
205,176,381,982,257,930,866,086,937,438,427,867,642,682,815,840,273,962,843,
135,536,784,672,790,834,899,795,397,268,776,016,469,201,851,639,036,095,613,
346,687,864,317,446,527,352,791,743,379,294,003,427,708,361,373,061,571,678,
771,877,553,977,997,388,119,604,686,534,395,321,935,988,842,436,027,902,069,
372,578,974,710,454,099,947,907,261,569,210,942,750,949,364,343,152,755,559,
304,611,632,277,072,691,520,791,233,651,993,490,262,136,974,888,149,980,393,
770,918,577,928,076,451,084,772,044,020,558,753,238,451,082,737,393,494,956,
763,973,814,928,619,332,250,625,945,132,641,678,015,385,667,603,323,168,674,
745,815,824,650,658,698,261,741,367,722,175,047,618,219,576,957,411,869,394,
499,175,067,585,565,029,486,867,969,682,352,901,709,356,485,065,051,848,458,
105,250,385,633,113,542,640,416,623,104,106,798,297,692,398,689,406,851,091,
392,840,360,000,196,581,057,811,428,827,299,309,474,695,885,708,022,761,197,
896,061,704,760,789,060,290,614,712,734,240,989,266,529,862,381,068,894,700,
312,641,538,096,268,029,911,749,999,262,225,801,216,809,025,356,906,519,669,
098,475,340,247,132,564,271,405,680,828,388,833,844,805,025,421,809,903,554,
745,864,772,904,385,494,997,775,746,598,815,254,359,896,858,175,276,908,080,
836,426,234,797,943,377,177,055,523,111,523,298,773,863,095,025,927,063,667,
480,645,961,299,302,914,817,083,347,715,671,705,628,918,499,694,160,687,235,
382,171,415,719,166,047,290,204,946,093,739,725,993,858,083,188,200,213,964,
778,171,853,989,216,479,774,059,435,036,469,561,848,190,610,167,463,616,976,
590,030,248,533,390,394,763,897,094,588,587,799,741,368,668,809,045,110,010,
926,612,674,420,122,780,847,772,618,264,353,254,278,911,847,596,148,925,764,
987,375,560,877,671,833,040,199,207,405,562,255,564,266,724,102,445,959,769,
970,167,598,138,128,501,695,612,611,567,448,593,776,986,447,838,275,056,908,
308,579,050,057,993,409,696,245,233,893,016,501,888,563,715,371,157,268,902,
791,877,829,700,814,195,431,796,453,186,337,528,583,480,229,092,320,937,735,
822,951,159,949,559,668,463,039,681,071,266,896,107,106,632,958,054,411,383,
090,539,063,411,493,369,364,257,711,468,490,883,804,426,797,270,467,585,318,
126,549,364,239,220,033,297,479,747,807,838,835,967,157,706,303,438,726,157,
311,711,042,745,510,181,873,711,854,963,889,915,948,044,335,642,777,143,116,
781,762,813,491,438,646,364,213,999,214,063,636,251,829,343,270,746,168,557,
196,155,814,631,963,179,163,163,926,741,775,269,067,802,113,451,902,837,040,
756,871,078,314,729,864,941,562,919,096,106,527,507,132,260,393,468,110,172,
457,063,745,649,743,121,310,660,037,619,432,571,721,639,807,792,855,329,779,
912,729,925,674,473,871,052,255,995,517,979,272,379,750,116,764,300,843,879,
516,147,084,493,488,703,150,245,069,865,747,265,814,243,863,743,633,384,809,
140,104,522,103,209,861,691,324,963,469,067,471,242,751,894,258,788,035,672,
920,923,801,229,845,744,074,737,149,288,227,242,410,886,996,186,377,128,972,
267,429,140,927,083,667,898,532,839,228,191,976,203,664,325,093,252,890,456,
413,069,950,945,127,933,974,033,256,300,246,132,056,365,598,438,611,952,722,
992,188,902,052,558,363,626,701,487,177,344,178,226,776,011,746,001,563,636,
765,222,340,350,193,953,761,174,372,304,405,073,340,976,564,763,213,898,112,
337,761,680,843,679,304,245,832,587,556,881,015,366,698,462,421,554,206,394,
816,590,030,086,390,920,338,152,816,106,200,761,474,983,080,136,244,009,951,
972,448,755,463,000,039,037,150,904,294,921,010,890,208,849,958,495,918,655,
871,327,487,637,480,982,417,375,612,124,211,188,354,753,784,447,347,934,638,
985,673,701,631,878,254,741,703,541,765,562,331,520,625,442,840,124,044,773,
119,332,570,668,372,169,284,268,370,933,768,383,228,718,872,218,331,489,612,
922,377,982,400,409,389,939,594,398,983,929,292,813,991,337,909,200,141,365,
009,368,993,429,315,846,791,675,794,166,817,497,251,732,112,371,261,234,722,
398,325,478,870,320,080,416,765,867,106,320,069,962,166,682,747,089,737,534,
753,037,721,103,486,707,651,499,061,536,067,259,531,901,221,866,521,699,158,
340,018,217,346,805,105,504,384,295,072,827,239,991,626,708,849,350,294,421,
222,655,933,142,464,827,954,316,417,587,601,510,077,044,145,110,539,310,674,
823,748,206,623,162,332,057,391,627,740,837,470,676,215,709,996,929,022,549,
190,008,437,140,026,127,325,303,892,554,739,624,979,237,924,422,831,188,042,
232,474,019,519,206,525,398,380,353,743,926,749,756,832,777,862,118,121,669,
934,086,437,184,735,579,152,138,690,718,490,642,269,596,416,846,216,702,381,
759,974,990,448,862,431,949,044,169,917,842,596,447,479,188,549,791,895,471,
061,567,490,769,858,730,002,785,144,545,711,520,516,010,312,719,758,424,243,
935,224,802,002,450,106,544,733,878,812,050,220,239,566,325,416,163,783,696,
899,662,810,872,791,581,290,744,333,759,546,357,215,766,903,217,656,856,003,
198,530,349,255,773,463,703,744,874,267,226,225,130,421,802,060,249,333,185,
289,757,894,222,004,066,438,907,312,779,259,583,419,672,040,264,082,225,632,
476,041,543,707,819,937,696,387,551,363,474,011,386,172,497,807,638,234,548,
078,503,545,233,477,268,517,175,240,019,351,673,742,742,310,432,936,391,171,
698,220,179,560,445,014,554,468,452,091,044,115,488,296,924,124,626,288,706,
662,863,929,988,104,784,675,874,315,099,254,118,866,138,122,305,045,009,982,
022,574,493,543,309,862,388,991,950,719,316,000,585,016,063,127,098,456,179,
689,836,729,209,458,875,396,737,464,510,960,366,942,675,886,300,600,059,763,
498,798,847,031,291,156,084,172,507,105,131,466,995,943,132,135,208,988,481,
901,283,857,710,335,540,446,893,483,277,233,061,217,563,394,144,048,296,897,
605,348,210,923,780,372,129,304,477,575,780,305,767,091,854,913,579,748,396,
904,071,584,357,932,992,693,198,843,183,891,648,144,011,503,953,178,665,187,
495,915,565,039,829,839,840,042,203,722,473,016,347,879,801,665,712,917,215,
160,667,952,584,392,529,920,302,633,298,873,906,222,401,403,247,020,074,905,
237,134,210,870,980,666,889,546,169,393,829,172,872,987,286,436,545,048,468,
036,584,725,851,109,203,517,308,152,014,997,291,863,481,028,463,728,011,620,
000,472,433,481,761,663,797,134,512,915,921,360,075,236,453,257,773,319,962,
057,607,668,587,736,665,831,057,167,651,879,705,538,059,438,965,850,540,698,
709,616,803,259,271,544,303,106,968,336,923,054,444,077,264,258,275,634,331,
461,992,711,758,565,735,423,777,177,060,169,597,204,829,960,816,239,656,589,
581,876,780,427,184,799,793,407,975,869,847,224,060,746,917,186,989,089,911,
117,126,518,146,168,596,185,208,932,956,765,792,963,306,482,110,938,841,082,
325,676,485,069,876,786,612,446,822,539,000,572,265,693,553,355,086,196,854,
963,154,350,437,893,920,042,687,039,839,400,136,528,397,393,011,689,457,521,
828,633,710,024,252,431,717,381,817,384,924,322,165,974,522,637,920,685,025,
549,539,697,404,162,751,801,937,662,048,773,373,369,796,084,404,162,291,231,
221,690,495,262,331,950,142,150,595,200,679,076,081,674,289,101,207,730,571,
024,429,390,126,984,066,500,978,427,533,820,503,718,264,997,698,085,490,177,
081,824,958,923,276,710,228,079,058,708,917,360,250,212,977,794,094,720,101,
055,514,804,678,224,945,036,778,051,301,359,904,919,785,110,608,639,820,878,
749,136,663,999,761,482,217,816,057,640,857,965,475,366,001,543,597,587,572,
886,731,710,398,730,160,644,992,819,289,469,964,965,526,543,187,648,583,679,
650,792,292,903,160,100,021,724,730,244,287,740,739,063,444,114,414,501,041,
182,002,845,838,719,129,938,179,038,685,594,898,408,126,929,198,855,975,995,
457,864,313,368,885,613,215,630,956,929,150,294,666,254,641,445,958,766,666,
994,364,054,129,703,678,603,402,004,944,278,190,554,273,412,761,791,846,398,
738,409,736,122,404,892,946,481,735,262,239,901,316,585,428,909,348,910,856,
610,127,073,226,284,150,951,479,486,872,382,935,265,878,709,133,545,893,416,
610,659,181,999,255,587,168,072,346,875,251,638,772,779,948,464,630,088,288,
834,528,412,261,665,361,336,540,292,967,449,655,204,740,259,982,837,078,746,
633,985,033,726,425,066,816,631,011,653,390,493,814,071,047,979,852,529,138,
696,593,592,330,414,977,039,516,751,119,313,744,791,060,742,019,126,976,678,
170,012,831,135,734,746,930,356,220,882,350,656,723,539,979,663,997,492,955,
970,421,707,064,992,176,021,974,488,796,912,412,000,992,371,019,545,883,171,
845,369,225,386,432,683,641,406,750,788,415,507,415,718,051,983,852,132,553,
541,863,505,099,221,631,254,622,258,066,006,240,790,529,729,181,279,036,553,
324,234,527,033,546,382,027,626,301,535,236,953,139,486,983,308,304,797,568,
600,533,183,725,788,266,380,066,239,946,069,670,771,978,764,445,969,695,294,
844,850,669,782,392,094,118,572,732,517,957,241,628,747,062,304,984,412,485,
442,142,892,263,349,514,688,210,974,812,821,057,489,470,377,033,530,624,502,
611,962,538,443,039,001,075,656,938,733,494,538,193,230,064,487,303,839,984,
504,145,408,507,192,781,596,295,497,717,783,142,555,968,567,680,759,003,935,
933,829,822,168,120,652,746,013,199,054,781,660,149,875,157,969,277,135,897,
463,738,918,268,578,090,737,372,587,182,200,324,538,091,855,529,481,249,996,
424,939,600,962,152,407,574,431,003,043,519,702,702,322,156,262,214,467,838,
050,454,824,170,127,451,615,935,272,664,756,097,044,605,381,124,410,127,135,
401,560,428,462,164,359,433,553,185,046,187,009,783,342,278,985,083,520,922,
725,367,325,258,965,307,542,525,060,289,140,978,788,292,518,467,983,202,406,
340,550,780,512,790,570,354,223,967,705,630,521,006,000,512,550,424,338,046,
266,870,937,108,131,113,438,917,872,251,542,992,380,582,779,677,365,105,762,
455,698,721,608,090,874,599,865,084,595,170,202,289,744,036,413,573,494,598,
012,529,515,205,602,351,473,155,029,475,213,197,278,176,219,527,573,239,152,
973,045,834,525,013,231,593,693,689,625,060,916,731,264,492,450,667,690,517,
630,577,837,207,197,037,506,061,048,926,512,230,691,038,263,729,967,158,782,
671,649,751,296,374,203,161,590,460,944,653,110,476,785,005,709,967,400,873,
195,318,629,094,080,004,821,490,275,713,694,856,196,289,200,034,317,794,843,
580,900,606,717,212,993,973,802,091,902,921,442,925,945,990,291,035,970,146,
160,447,576,893,353,946,416,613,218,574,065,037,444,219,779,278,440,030,344,
628,640,083,119,407,538,819,101,873,131,396,767,036,375,107,455,072,863,956,
430,466,039,966,266,294,931,024,383,990,860,594,957,985,188,796,903,146,760,
449,370,958,369,068,132,905,311,616,931,838,159,818,546,724,566,352,866,475,
969,419,086,482,427,583,813,297,817,293,201,025,131,184,373,806,338,466,502,
274,159,700,648,438,946,574,375,821,518,731,323,157,312,057,603,584,138,501,
228,923,338,055,536,175,631,328,138,329,115,941,758,339,300,788,327,263,252,
722,533,688,268,899,831,752,859,772,384,022,897,263,673,884,157,033,090,114,
371,164,527,261,445,932,441,715,395,248,742,562,051,806,608,310,488,648,950,
471,475,865,156,121,241,037,594,616,001,497,903,242,143,989,147,568,962,626,
903,337,782,361,719,208,548,938,869,357,719,230,297,620,113,642,467,442,410,
935,891,610,694,997,075,806,240,858,366,805,592,425,431,188,585,533,756,261,
628,500,969,401,377,675,574,343,605,945,258,863,470,730,142,680,448,984,824,
139,694,254,801,843,502,226,421,830,866,332,740,372,382,972,442,159,982,174,
304,877,922,183,777,267,684,577,480,403,309,931,345,505,649,590,748,809,334,
734,780,168,991,640,324,621,216,470,895,444,857,173,828,778,990,023,781,033,
183,428,316,727,575,721,549,687,287,758,347,630,119,415,602,283,717,407,443,
384,369,669,209,534,275,623,738,831,699,425,861,387,535,734,609,027,579,339,
348,703,463,933,939,238,806,518,435,999,566,434,447,478,787,437,846,247,490,
773,680,313,567,639,454,341,788,219,269,527,956,339,446,507,469,868,846,098,
648,057,948,407,958,362,057,054,496,799,272,292,877,964,407,688,783,675,997,
201,044,607,403,030,283,332,896,464,323,573,809,036,506,852,894,682,447,371,
684,889,536,186,234,355,996,431,640,055,352,756,497,083,496,573,796,740,467,
988,360,527,192,133,696,170,323,230,386,903,805,719,250,904,287,997,804,491,
934,291,745,513,637,605,351,965,170,749,563,673,834,035,577,421,300,204,466,
256,550,812,935,829,416,473,068,756,481,118,591,147,415,057,174,593,732,705,
467,975,053,363,702,231,684,801,796,330,770,711,370,435,361,133,937,953,822,
421,019,342,582,293,913,000,915,430,321,258,252,203,307,498,584,911,140,490,
773,485,608,821,768,796,087,330,885,747,086,307,104,296,344,737,711,370,536,
226,479,115,783,036,122,631,296,503,560,436,534,838,615,153,326,464,439,021,
116,765,278,908,402,917,742,079,896,825,178,638,448,029,352,428,574,234,020,
457,863,442,925,036,699,923,049,635,549,587,757,786,370,215,717,687,507,731,
849,342,925,824,493,757,798,901,464,418,228,039,192,305,645,889,498,467,593,
476,700,301,090,591,570,067,303,983,523,673,854,261,681,418,960,832,791,516,
815,096,696,469,900,171,337,479,597,426,260,676,613,346,039,199,726,215,519,
835,312,487,362,356,822,314,077,513,904,988,993,898,375,917,269,561,424,811,
688,851,243,224,444,261,461,809,956,288,498,670,225,667,395,361,981,496,129,
100,263,230,231,183,393,850,405,044,268,723,949,356,943,436,402,507,621,850,
634,732,471,629,745,788,795,534,533,067,646,277,492,766,328,290,747,517,844,
407,506,148,402,247,645,178,045,675,250,904,412,700,425,718,878,570,394,940,
311,050,433,216,057,357,225,643,590,996,820,100,661,310,881,000,754,911,242,
021,786,377,631,623,773,849,771,526,839,473,165,091,028,040,852,835,723,731,
224,574,095,101,400,321,031,203,312,277,291,152,905,486,446,874,328,495,874,
031,962,307,487,577,374,952,709,935,326,792,802,502,171,110,996,571,111,191,
727,740,779,277,612,570,486,944,028,863,935,569,774,947,390,172,697,132,309,
712,943,143,489,589,742,957,925,902,927,155,114,321,897,832,661,696,209,136,
194,366,295,061,916,506,087,905,261,586,180,524,722,605,425,594,541,970,168,
376,657,285,111,211,526,441,395,648,866,400,607,888,073,969,862,404,123,609,
950,946,167,314,443,505,975,098,761,410,650,269,391,488,041,617,971,280,667,
158,223,321,821,840,991,076,930,622,999,332,334,097,361,624,029,854,810,965,
590,359,027,731,073,706,670,332,829,425,873,223,118,550,535,836,347,280,580,
243,205,451,472,543,704,147,609,368,582,990,175,753,790,628,862,194,590,737,
445,062,208,311,165,491,776,538,814,810,678,354,557,660,927,299,351,144,564,
300,174,046,106,434,550,020,682,123,434,207,356,845,432,245,429,069,293,858,
680,254,482,167,900,520,509,444,231,310,062,442,063,903,279,051,333,187,350,
669,112,923,594,734,539,602,442,129,277,965,135,783,477,154,033,969,010,639,
848,218,272,680,160,418,566,347,367,087,125,706,701,766,219,065,632,601,999,
632,088,548,206,566,095,255,319,588,611,047,941,070,286,611,469,239,141,636,
921,891,808,792,379,484,210,954,900,400,316,233,083,476,313,453,332,928,128,
091,522,865,787,366,612,521,650,240,657,879,736,321,662,984,482,226,170,476,
417,397,086,988,406,671,275,507,028,012,726,766,686,757,674,095,205,176,161,
669,966,559,413,123,820,913,840,078,997,078,892,578,397,093,874,015,480,862,
106,576,848,999,699,900,830,654,612,215,868,075,747,253,074,088,540,807,271,
059,535,691,455,767,035,623,337,255,612,621,608,671,083,838,546,097,802,528,
381,189,166,070,217,334,759,567,529,765,823,444,303,311,240,802,146,812,793,
780,011,020,582,515,175,990,056,207,643,048,735,910,435,876,276,198,539,951,
246,800,203,994,041,845,360,140,438,462,069,017,732,148,669,079,902,585,723,
930,609,091,267,666,966,685,557,128,119,105,696,037,763,520,420,827,096,517,
445,343,133,084,453,306,330,473,709,800,798,251,975,695,881,630,519,376,751,
960,941,952,830,937,021,234,714,491,602,828,986,657,065,507,369,222,447,810,
257,839,811,894,662,567,218,437,867,628,126,279,862,505,790,258,663,227,861,
970,853,978,184,137,663,783,780,218,335,896,228,751,286,926,085,901,986,337,
405,469,030,955,245,028,561,407,918,131,002,914,295,164,574,311,143,571,102,
098,452,433,227,849,599,187,022,675,676,388,511,373,111,615,956,619,528,081,
706,017,634,696,186,033,506,469,419,207,309,616,515,021,630,236,999,338,793,
765,763,371,188,860,383,565,186,273,531,691,075,087,710,491,487,589,497,932,
269,036,444,835,186,770,987,261,480,867,520,475,508,302,529,887,226,238,824,
698,000,561,919,182,337,852,586,302,859,173,618,264,908,314,608,754,988,235,
961,569,292,433,364,644,399,430,946,820,174,783,351,531,119,862,754,138,901,
867,376,295,965,194,414,731,295,880,224,074,265,159,368,786,439,585,373,016,
953,280,848,836,968,564,543,348,814,847,591,284,982,178,068,197,210,525,454,
103,886,712,659,450,557,602,606,922,614,456,004,757,537,850,541,291,699,462,
060,964,742,289,466,257,625,206,478,681,312,015,364,978,380,630,849,013,113,
247,112,823,773,105,829,202,932,211,442,335,687,851,365,731,290,739,143,339,
411,934,710,493,236,382,676,638,302,245,738,247,539,122,856,473,414,528,893,
161,700,128,463,195,412,060,382,685,618,821,618,299,816,175,682,507,662,862,
541,479,016,888,672,519,384,069,843,277,507,577,265,183,669,648,365,815,602,
767,923,691,023,974,811,188,869,532,884,322,744,526,464,132,010,048,421,900,
267,684,835,915,869,311,147,531,963,266,135,558,012,381,948,410,579,334,196,
573,632,667,955,835,304,557,573,484,849,699,310,159,505,198,880,830,744,822,
583,999,585,892,583,517,264,655,831,127,784,883,386,629,894,323,800,795,811,
747,762,366,761,782,775,269,164,013,722,756,729,027,831,470,321,571,130,018,
966,315,216,695,180,715,414,323,361,263,470,183,968,475,544,112,236,030,826,
186,951,258,490,526,873,259,238,988,398,832,559,683,379,558,884,131,370,904,
452,532,695,267,582,044,277,452,867,482,022,183,977,250,571,246,923,812,380,
512,086,410,511,339,879,368,998,792,214,844,559,630,682,240,094,154,758,163,
845,429,633,215,489,081,749,185,586,105,712,006,786,113,512,042,126,564,489,
937,097,046,029,160,076,614,330,654,682,094,916,333,483,296,423,205,304,787,
513,627,877,862,379,648,835,697,076,055,388,820,715,860,472,247,476,420,284,
831,512,062,686,102,847,850,497,323,477,756,074,901,234,254,666,562,111,689,
931,848,254,457,033,283,540,767,030,524,602,012,448,672,738,280,763,808,372,
873,183,539,285,002,007,656,616,164,079,182,995,974,659,623,918,788,274,076,
110,034,407,633,626,821,252,106,576,873,222,296,258,969,111,800,318,265,318,
660,729,346,404,324,074,995,790,876,327,786,555,605,110,327,019,304,405,045,
652,095,409,849,256,059,147,188,743,797,530,808,684,546,557,338,552,874,378,
595,358,153,698,841,010,526,935,561,002,532,758,569,550,983,097,531,619,922,
987,768,216,479,124,494,908,015,129,497,415,079,590,763,471,209,571,606,370,
028,535,091,240,519,584,606,630,398,553,262,300,307,883,547,830,433,273,469,
694,886,827,425,738,578,147,058,555,346,956,355,011,067,337,524,688,111,995,
802,762,582,350,476,769,428,899,879,569,409,285,547,346,698,000,584,716,206,
288,091,405,159,056,738,528,519,129,286,026,658,220,759,205,086,326,928,950,
523,794,975,170,492,785,930,157,404,191,464,856,785,177,676,425,282,715,036,
285,765,044,278,381,520,450,474,353,442,209,653,091,033,155,049,822,868,627,
153,961,865,760,646,050,758,217,092,783,030,914,379,667,584,996,485,241,061,
071,162,760,506,218,935,385,496,964,157,533,501,353,037,053,630,021,853,014,
801,977,640,942,588,350,682,595,391,542,298,559,355,755,140,343,495,504,602,
339,015,827,308,409,035,720,219,769,899,119,917,154,137,831,588,810,279,243,
933,893,425,522,913,462,889,454,371,186,144,424,480,296,726,964,716,007,615,
465,740,991,656,147,299,288,102,526,011,333,331,566,631,663,930,914,731,458,
968,694,849,570,371,630,090,810,655,144,887,047,194,241,991,129,595,755,281,
147,303,650,034,798,853,954,279,280,028,734,197,951,293,751,940,813,621,950,
734,682,141,457,716,858,544,660,308,745,184,343,990,329,574,437,524,675,568,
903,211,432,540,717,694,656,000,991,196,317,921,022,833,526,930,606,613,040,
576,804,367,717,190,582,592,242,918,167,704,960,711,705,703,493,679,152,965,
017,243,559,867,435,080,161,422,167,962,768,150,533,176,406,340,627,753,810,
142,814,182,108,263,204,406,755,736,262,125,834,984,110,359,195,500,547,365,
098,965,971,844,007,083,075,491,667,720,849,281,671,050,653,035,641,778,337,
612,095,108,532,955,545,646,832,537,402,142,005,536,771,457,960,247,790,151,
829,005,731,622,983,608,697,554,773,542,523,158,795,887,807,778,706,872,944,
867,591,932,098,667,404,628,321,597,878,717,012,416,382,413,544,470,214,411,
385,109,764,444,302,994,339,116,708,198,996,805,233,201,346,749,832,001,899,
975,762,126,435,909,030,544,454,138,707,638,951,274,021,259,387,452,798,248,
326,547,349,058,236,172,657,535,466,709,654,243,918,373,785,845,451,813,820,
296,511,194,425,543,809,417,707,964,094,754,405,691,803,586,840,266,847,196,
300,545,886,037,317,960,067,994,945,850,280,298,933,960,795,948,190,655,732,
893,485,407,821,943,521,194,549,706,890,113,930,022,538,511,155,837,001,073,
058,093,979,886,524,912,538,286,515,695,521,431,747,859,449,631,503,437,165,
300,447,506,401,891,986,262,152,185,451,964,913,885,786,602,153,505,657,046,
148,358,420,528,580,713,225,452,698,520,645,800,955,323,710,293,545,747,083,
955,457,889,764,224,442,542,646,454,135,602,858,875,677,718,434,395,204,666,
726,644,346,568,755,369,293,963,955,605,534,173,474,337,005,270,109,088,200,
031,896,801,272,522,270,078,851,890,505,862,281,556,217,991,051,624,715,797,
558,716,139,296,963,853,927,824,728,103,456,968,462,997,376,124,754,849,324,
031,244,822,751,944,191,339,417,958,017,062,294,758,170,691,119,284,805,153,
381,405,141,433,964,341,890,457,164,487,462,289,538,571,279,137,750,273,588,
051,700,171,645,572,664,504,542,826,127,711,185,023,731,338,960,417,494,129,
571,344,559,906,657,393,039,256,582,620,701,790,189,739,472,020,783,858,134,
874,858,301,322,018,929,933,646,813,453,773,770,015,026,457,417,045,467,395,
267,790,587,350,379,870,305,509,446,619,771,311,701,814,157,091,768,378,595,
681,060,156,651,983,206,714,576,335,240,349,938,738,331,214,919,365,882,761,
355,003,273,609,125,136,977,034,264,667,418,873,986,069,457,580,495,875,095,
895,436,974,049,669,817,151,295,607,846,242,879,091,276,681,522,112,496,687,
228,603,749,234,979,001,535,758,928,788,777,483,871,574,582,318,941,941,153,
224,786,074,461,843,081,645,875,286,878,488,725,862,324,049,943,741,517,825,
458,628,421,411,955,969,416,215,753,573,368,921,269,896,309,442,719,139,630,
295,892,110,599,145,247,400,077,569,480,465,955,498,037,570,684,138,528,885,
596,193,866,665,033,312,538,711,269,547,040,311,536,774,589,199,722,360,684,
518,517,106,132,305,590,762,646,424,886,917,583,105,498,633,603,507,428,170,
944,807,670,805,804,616,897,861,804,694,371,684,018,633,710,493,063,034,874,
888,521,945,084,928,337,279,503,994,104,172,018,041,645,716,158,926,325,123,
690,269,045,741,334,555,557,896,655,658,906,194,235,166,326,922,180,853,667,
484,641,809,534,652,839,425,196,930,783,125,278,932,281,556,576,222,312,259,
696,621,547,973,811,657,543,772,489,367,494,045,500,180,509,846,391,676,221,
409,411,941,510,620,132,563,449,258,654,034,876,273,081,946,600,062,209,690,
435,137,626,768,338,608,069,545,045,987,604,712,713,896,705,447,988,154,354,
378,807,397,063,513,017,265,434,143,599,367,077,435,212,721,983,525,891,275,
864,496,488,604,090,265,386,422,001,066,784,517,266,147,000,798,551,379,183,
686,606,635,378,698,201,467,156,730,999,223,522,555,120,175,544,857,354,690,
428,270,200,807,304,639,060,677,606,539,812,444,381,909,907,969,901,115,794,
303,368,635,371,927,299,769,952,407,319,589,346,909,237,398,135,777,147,006,
229,216,006,287,368,222,808,612,405,847,108,505,520,819,511,601,540,102,877,
320,314,164,029,079,027,034,226,270,823,699,372,448,908,987,411,490,071,529,
741,355,078,583,165,112,172,175,197,982,051,992,304,509,228,442,267,816,140,
165,231,636,841,558,322,030,664,531,995,343,162,455,807,516,380,152,832,036,
862,373,923,005,444,664,164,925,193,751,814,356,799,433,458,895,358,995,466,
797,563,211,975,912,183,838,664,546,789,772,439,925,184,125,791,584,022,825,
407,323,037,474,446,894,790,094,307,998,703,932,607,815,097,246,879,351,384,
712,446,279,610,475,959,554,651,498,620,230,669,211,767,659,146,716,845,431,
872,245,948,939,199,387,360,012,319,386,370,967,030,689,918,177,535,708,033,
758,782,075,860,203,711,521,816,888,473,293,248,255,710,096,763,353,187,189,
749,845,051,123,188,595,751,574,326,195,566,919,646,005,448,351,181,759,867,
788,375,143,257,001,755,550,666,103,786,424,951,173,458,305,779,812,810,594,
784,173,045,550,884,051,109,051,864,084,386,281,627,881,599,075,019,049,674,
182,293,720,719,678,498,907,990,657,840,492,684,343,848,298,583,609,196,932,
519,750,148,690,851,065,876,619,903,189,486,141,860,875,113,442,483,285,997,
215,637,412,477,150,813,127,441,808,499,474,625,916,301,664,641,740,948,911,
681,805,245,282,511,611,189,606,567,071,583,855,379,597,241,451,782,067,614,
330,102,345,054,906,546,422,440,303,128,526,815,083,083,226,763,961,289,231,
400,765,485,837,164,943,266,884,046,065,950,533,973,844,221,325,644,779,208,
273,711,938,844,660,166,061,346,886,188,465,482,954,669,157,554,956,723,772,
483,238,300,546,492,318,280,042,445,085,640,763,413,519,586,535,623,829,770,
043,701,599,192,667,388,745,618,804,723,479,401,905,655,510,942,321,543,594,
807,763,539,256,527,211,754,691,468,344,617,038,289,236,988,676,545,658,482,
341,576,126,884,392,424,211,271,492,614,882,140,521,983,861,382,084,439,968,
190,796,090,993,784,022,529,142,930,472,064,614,785,917,036,359,641,846,397,
553,241,190,307,941,838,118,312,402,621,084,600,988,894,718,576,160,815,225,
191,160,979,698,452,687,269,881,650,874,343,239,493,824,135,198,844,538,990,
221,348,208,009,835,680,823,276,599,355,840,511,561,929,862,116,993,421,893,
624,268,242,949,271,893,171,833,179,194,967,872,111,811,408,301,185,483,152,
180,813,317,067,529,690,729,815,985,008,364,011,200,546,797,763,411,802,127,
844,482,448,958,992,397,352,467,308,017,147,906,925,599,792,867,653,713,242,
788,989,095,562,767,776,058,740,958,191,452,496,175,202,870,657,748,659,750,
577,516,308,360,760,815,224,823,905,196,425,653,872,801,724,429,050,440,512,
608,917,582,758,301,990,432,996,760,855,734,051,954,928,078,086,056,688,142,
430,578,398,168,526,721,984,235,843,639,809,368,981,533,824,957,247,076,252,
731,475,514,153,933,514,636,177,041,179,130,624,935,500,491,877,096,555,364,
940,128,001,992,573,862,462,411,190,971,977,897,519,959,045,329,935,215,587,
729,276,492,382,787,718,934,232,044,770,902,988,744,732,474,354,737,947,594,
359,619,547,279,884,834,699,486,766,716,796,052,857,767,588,981,060,022,395,
250,846,356,345,062,241,150,797,114,104,032,286,200,157,338,024,295,363,628,
526,166,751,920,185,949,443,507,576,593,571,951,263,498,067,526,297,457,979,
183,449,821,001,740,027,510,925,459,395,156,159,130,780,069,590,353,259,768,
951,042,172,630,751,806,643,328,276,126,535,413,539,078,984,890,254,265,118,
894,945,700,821,883,560,304,853,131,840,785,056,927,248,807,248,079,189,395,
120,381,503,502,890,570,436,160,947,289,996,062,907,472,889,944,298,763,733,
201,022,917,224,397,699,202,251,877,011,574,323,679,866,182,334,615,155,174,
154,444,867,111,888,553,946,241,245,869,154,280,410,101,581,449,796,060,166,
440,460,084,002,443,238,961,261,624,485,357,223,602,541,465,458,164,409,884,
321,763,758,247,578,230,926,537,082,067,625,999,437,180,996,978,203,423,560,
179,688,998,131,453,518,258,877,087,414,697,237,743,996,523,601,470,995,847,
911,658,963,126,175,056,746,666,631,187,176,534,474,220,717,869,433,574,739,
247,069,406,123,974,233,158,239,684,814,923,377,820,574,016,516,964,479,098,
589,510,827,114,666,232,761,723,361,093,091,528,189,742,185,845,744,695,444,
489,296,406,225,888,615,031,452,378,963,393,305,359,901,662,751,397,090,174,
994,426,080,550,216,733,419,858,434,313,847,397,421,838,847,317,562,490,671,
609,330,562,260,628,975,610,836,910,473,041,255,777,064,517,838,900,853,618,
286,795,047,994,851,001,247,507,737,456,380,977,710,410,938,985,980,639,583,
716,085,246,713,197,887,981,807,189,163,616,243,377,762,744,464,938,524,214,
553,341,459,659,892,938,613,654,430,737,290,778,124,728,154,123,983,228,850,
353,212,107,769,762,167,476,378,353,237,588,428,350,166,907,596,182,252,814,
826,760,442,955,824,651,145,998,901,837,495,876,415,127,240,897,769,625,522,
852,022,538,827,823,891,255,797,855,753,443,045,067,115,111,792,210,600,023,
078,789,179,185,124,953,125,232,225,343,940,770,902,301,876,199,998,912,543,
994,317,413,966,794,151,206,155,285,145,002,458,834,702,948,442,225,734,281,
056,999,861,988,909,736,972,067,764,280,192,713,710,215,834,012,587,468,425,
343,855,986,241,830,058,362,903,965,729,703,333,513,708,575,959,904,396,581,
578,480,482,631,790,601,611,940,771,321,362,618,825,042,370,284,634,401,106,
087,549,391,505,701,411,231,008,912,026,783,353,121,597,489,262,951,271,093,
652,720,961,361,088,048,531,934,161,217,743,450,569,159,049,532,241,898,550,
944,236,938,940,951,656,722,216,705,224,884,634,071,899,894,237,473,806,689,
736,107,415,520,610,117,196,567,060,028,992,780,099,976,254,942,311,195,207,
782,690,950,865,786,916,552,552,901,574,131,832,066,600,992,768,162,668,924,
598,603,386,090,720,295,958,969,565,072,665,804,011,103,211,927,848,120,405,
895,616,036,624,607,295,200,727,376,533,897,626,281,534,796,797,680,219,536,
759,754,257,020,478,583,183,837,165,269,402,401,397,937,054,778,822,801,540,
271,860,447,907,099,319,168,158,156,293,409,915,765,086,746,416,742,174,713,
222,953,408,616,963,536,536,324,793,008,933,371,490,602,132,234,135,757,796,
423,435,380,294,038,311,571,464,285,025,860,210,288,021,785,017,921,998,842,
091,295,417,799,152,894,956,373,758,066,184,766,781,491,377,011,928,560,332,
236,544,765,357,617,554,958,721,252,968,342,198,141,050,599,364,455,424,669,
530,217,220,143,492,025,977,940,297,455,798,156,096,783,096,267,874,227,304,
406,156,196,581,402,539,279,312,561,905,444,700,824,752,943,098,305,910,992,
375,147,685,205,982,293,226,917,468,069,610,161,232,534,393,995,083,128,396,
758,131,502,348,816,974,887,672,899,508,125,885,101,266,605,358,014,182,819,
256,449,532,502,528,057,708,851,292,888,424,477,792,237,101,523,333,932,129,
868,540,877,255,897,416,389,685,642,871,898,676,775,494,974,062,202,817,719,
286,739,820,788,517,908,441,611,890,297,681,440,646,950,246,253,597,526,996,
854,410,646,237,725,287,377,543,153,773,259,335,386,975,584,130,437,267,494,
020,848,435,854,905,803,451,596,418,346,589,909,910,044,432,349,296,983,424,
089,690,526,759,496,297,386,344,693,232,379,439,026,492,847,354,023,291,144,
146,286,325,911,073,048,608,836,483,331,525,145,591,275,760,852,938,849,393,
595,732,699,563,587,470,812,686,314,399,644,872,274,176,776,860,980,159,316,
195,756,081,856,148,197,144,564,513,842,729,322,249,834,608,349,481,574,894,
602,228,155,831,385,946,746,711,431,665,263,536,880,800,062,613,562,536,617,
438,743,433,756,591,895,700,803,906,122,926,379,557,029,581,912,278,883,464,
355,867,395,021,542,977,053,757,918,508,117,968,108,446,308,859,180,184,870,
013,647,173,457,847,017,008,974,097,001,909,840,798,211,368,444,251,951,963,
218,914,057,075,213,542,465,441,355,595,828,074,997,507,261,200,509,576,260,
799,536,910,702,936,122,604,772,603,928,955,073,437,643,494,974,318,337,829,
728,131,162,949,212,823,915,326,085,120,943,411,459,916,529,649,718,155,617,
740,366,205,695,766,129,956,934,748,752,651,061,375,322,616,331,484,181,387,
021,740,287,163,185,877,662,375,363,723,159,660,303,458,590,638,214,578,139,
556,041,761,880,865,101,338,776,457,804,317,404,324,268,595,814,225,272,910,
192,121,396,380,051,582,209,121,435,787,224,688,361,072,499,498,971,416,281,
824,131,671,298,916,637,748,428,118,800,601,279,660,313,169,216,308,839,740,
884,769,515,167,622,031,810,945,696,667,378,911,719,369,757,230,808,747,116,
275,973,697,693,215,246,771,967,790,221,271,550,882,393,794,266,160,766,927,
239,751,795,930,172,267,643,243,470,116,058,510,671,802,425,276,573,311,986,
331,226,178,273,980,912,167,751,131,375,696,039,078,370,234,934,270,919,686,
257,837,612,403,869,335,009,746,715,133,197,093,447,157,535,863,171,996,029,
098,568,205,149,619,399,183,349,072,209,437,914,390,702,376,301,175,876,798,
134,919,715,027,536,113,887,906,400,756,243,807,768,456,431,404,530,713,896,
363,005,254,758,995,463,266,936,748,479,797,586,730,380,119,472,351,767,454,
574,742,978,028,817,106,649,653,842,176,580,487,741,319,699,025,563,016,059,
781,080,064,989,156,903,929,932,073,780,195,033,585,412,716,725,159,350,413,
193,312,627,686,532,627,340,681,573,988,984,964,951,546,914,110,759,975,461,
944,266,828,505,967,193,850,011,431,055,435,342,003,959,773,008,946,702,351,
315,471,227,281,105,475,585,491,912,542,437,105,684,046,727,453,920,606,243,
853,042,660,830,700,369,757,208,926,266,124,897,759,199,288,560,231,505,882,
607,722,555,308,135,456,178,104,323,617,160,304,706,570,157,573,072,243,469,
149,559,870,810,631,344,711,960,664,553,400,445,726,750,627,673,513,006,000,
392,544,034,238,712,484,937,632,089,065,277,539,557,438,290,698,040,029,925,
793,193,686,252,676,749,976,984,244,142,221,005,774,976,661,417,675,849,449,
645,434,538,859,756,193,320,420,581,699,118,479,770,473,039,022,517,574,015,
128,259,788,287,053,125,696,836,151,745,164,165,684,673,421,481,079,441,799,
729,225,084,770,120,103,979,038,183,918,005,956,903,745,282,350,470,247,388,
594,329,115,956,804,937,544,788,514,058,381,271,265,363,506,894,981,899,292,
584,652,219,648,285,951,846,504,445,988,767,311,087,809,922,117,170,578,667,
780,793,514,500,917,823,463,827,919,300,337,269,986,651,268,237,089,188,984,
827,076,514,930,444,214,747,387,402,780,399,768,559,233,106,550,321,040,628,
250,904,531,958,966,788,304,979,970,478,986,816,733,835,235,579,480,968,280,
220,003,489,248,158,956,604,775,656,921,344,563,793,615,917,813,273,309,420,
490,943,208,434,679,545,752,942,279,026,666,031,565,284,259,005,044,049,992,
949,453,793,088,278,646,708,108,106,210,323,923,829,667,513,603,572,478,591,
037,313,858,131,749,703,637,390,518,977,669,916,073,900,563,981,001,734,058,
362,536,732,608,014,942,461,686,756,489,492,132,146,032,025,584,639,178,775,
834,295,000,925,359,094,414,020,495,783,019,661,916,763,977,116,613,024,686,
932,996,988,948,400,153,313,550,659,936,750,735,620,197,773,393,017,258,057,
265,513,777,757,025,118,641,310,252,327,055,274,721,050,102,500,806,807,826,
530,491,308,088,285,341,583,842,685,306,001,295,980,248,044,250,500,968,658,
795,318,810,668,118,183,616,463,389,758,470,275,004,747,645,856,617,808,266,
974,487,097,154,411,344,728,539,414,551,558,114,894,110,789,191,893,408,064,
041,552,948,194,004,730,134,613,463,253,947,033,959,234,746,539,204,537,249,
995,939,602,332,738,770,465,812,815,258,952,669,023,895,908,472,179,138,238,
499,714,478,048,925,243,361,969,588,932,332,302,580,963,017,841,533,296,775,
521,258,229,006,600,144,006,727,976,075,023,283,402,538,421,265,641,767,564,
546,915,973,433,593,716,838,699,541,378,255,925,653,697,362,641,219,109,482,
235,822,307,368,160,332,573,149,883,497,053,615,206,667,957,747,408,038,744,
404,921,131,628,367,128,644,996,479,334,361,908,913,488,673,940,653,541,750,
922,289,321,190,358,610,008,376,734,741,437,726,766,350,004,764,807,223,051,
255,154,582,995,508,438,814,681,618,741,023,215,745,578,344,450,143,576,998,
114,697,918,432,535,856,331,342,563,747,943,749,802,977,527,803,067,022,133,
349,777,507,777,309,271,731,419,591,912,379,106,124,016,498,688,278,297,451,
842,022,762,330,951,550,489,350,077,122,244,926,735,498,006,922,757,361,065,
595,031,043,983,654,321,145,803,666,768,288,738,945,421,342,532,495,952,252,
003,380,044,287,600,361,999,297,509,630,049,392,086,275,725,736,489,055,371,
028,011,701,721,594,279,537,099,368,875,377,391,674,017,321,769,469,146,736,
485,349,555,449,943,265,269,642,085,064,618,959,627,436,381,085,606,867,847,
285,408,039,429,178,261,786,033,506,108,241,096,809,619,507,634,202,670,731,
920,908,511,130,414,363,525,711,555,194,046,734,073,547,023,752,913,348,037,
399,523,633,065,210,687,006,369,539,384,442,791,541,179,801,601,614,276,687,
300,474,235,744,041,346,532,561,464,541,927,923,521,152,864,704,960,936,059,
090,955,971,348,687,823,405,410,631,603,695,134,195,197,583,041,907,622,185,
370,084,602,741,842,961,733,842,094,981,797,336,167,837,351,367,560,490,990,
704,035,654,527,914,190,125,092,716,979,124,948,751,096,862,684,695,840,035,
475,472,247,204,854,724,448,754,541,154,282,276,506,994,928,186,232,202,707,
121,736,384,218,942,644,478,950,804,758,655,017,942,444,023,159,535,712,051,
615,297,620,477,802,402,268,152,627,967,931,530,113,879,039,881,522,559,957,
895,992,351,283,521,060,582,860,983,238,453,706,351,072,075,909,604,012,492,
870,484,997,573,604,697,424,229,520,522,830,393,349,158,688,651,003,972,570,
220,067,334,415,050,375,631,804,213,284,991,590,222,132,067,362,210,373,013,
107,526,994,295,411,282,808,166,608,809,087,354,412,770,673,292,849,067,156,
048,396,466,748,118,898,675,826,848,811,771,559,967,851,839,303,900,037,646,
658,919,841,587,338,723,075,178,469,008,012,978,899,999,216,201,571,084,087,
031,489,419,560,027,377,805,259,564,353,691,181,476,203,250,780,794,896,049,
792,211,470,640,857,507,523,469,750,669,639,757,119,243,641,758,299,845,549,
358,078,920,256,455,899,175,444,243,434,307,172,184,398,752,660,430,353,903,
460,754,697,726,371,576,600,013,418,585,410,030,971,260,385,598,738,002,387,
863,233,494,040,912,776,434,437,757,481,323,865,620,698,922,975,495,711,018,
131,178,650,793,550,196,002,150,884,038,508,203,272,111,802,254,482,833,093,
959,180,739,821,498,384,730,265,690,624,071,145,752,736,493,097,312,981,175,
596,252,091,292,659,705,930,265,162,896,752,088,215,362,139,020,123,104,554,
567,299,729,368,053,306,767,993,669,575,776,558,552,974,196,394,911,225,197,
692,477,808,709,257,188,652,852,205,131,443,426,295,107,465,884,256,676,662,
251,038,801,809,935,945,289,974,239,968,299,879,392,007,524,804,387,251,561,
853,160,298,423,457,504,423,403,036,008,758,285,675,769,254,249,177,693,070,
445,979,581,739,186,044,820,568,620,354,456,036,755,422,286,345,644,326,000,
380,827,894,352,965,966,347,407,051,259,279,632,439,743,852,025,931,823,296,
001,872,856,722,054,193,991,685,004,456,071,551,334,348,337,289,564,300,562,
331,804,219,084,395,336,058,569,371,213,283,836,164,180,397,138,610,623,771,
864,021,633,893,294,132,570,319,811,448,213,802,412,231,679,965,126,411,968,
673,652,457,797,209,423,089,283,925,474,838,662,586,746,536,746,516,647,521,
654,521,646,066,110,359,219,915,294,413,313,227,100,807,852,266,541,384,351,
320,918,523,128,746,774,199,822,781,897,795,930,058,054,502,583,225,098,817,
619,305,752,211,175,263,205,009,610,441,360,987,567,051,685,175,323,795,211,
983,977,328,441,176,348,741,292,035,019,614,948,328,502,446,304,934,410,268,
349,934,744,867,082,440,982,280,470,360,087,610,505,880,068,812,916,789,311,
349,264,540,384,851,909,252,308,970,216,597,201,401,552,186,285,776,775,153,
136,852,498,539,355,907,753,302,167,836,061,572,094,684,083,055,111,080,290,
440,021,421,983,669,991,057,241,499,800,302,879,687,082,577,572,140,853,190,
770,248,930,195,274,786,852,239,701,594,681,528,378,009,386,575,096,540,410,
808,016,652,295,976,731,100,082,001,668,052,180,548,367,553,302,638,833,121,
981,042,678,811,056,781,689,372,002,942,233,925,778,480,061,998,684,156,946,
476,202,208,075,735,001,757,591,651,124,064,579,688,253,577,659,734,795,068,
239,110,411,817,705,088,048,594,334,751,286,411,341,645,152,139,241,869,580,
596,251,118,846,936,516,460,814,707,997,815,655,243,730,104,786,981,675,715,
488,417,671,474,074,955,687,281,953,771,479,858,295,815,526,537,171,181,625,
979,017,485,740,757,515,630,327,310,017,231,453,003,428,684,832,678,471,628,
594,467,089,649,151,176,292,363,307,742,198,895,995,306,948,647,568,992,028,
651,326,787,169,567,860,199,563,213,384,814,938,635,957,522,968,316,552,507,
516,625,401,214,072,149,584,345,622,266,838,730,190,443,214,623,608,391,931,
704,487,900,235,889,331,189,367,112,071,488,722,042,333,009,260,907,588,790,
041,511,742,410,095,945,104,667,464,638,849,987,901,816,571,675,110,640,434,
525,785,104,404,183,700,000,972,402,395,665,110,904,140,128,286,042,077,046,
854,869,492,745,180,016,705,101,835,391,413,258,266,569,679,476,896,308,989,
837,726,897,248,285,152,469,342,586,481,157,283,914,281,123,330,778,899,007,
779,678,437,830,396,437,759,963,894,524,039,683,423,496,830,858,505,468,427,
621,341,864,216,005,285,600,412,470,859,154,155,136,888,042,328,877,222,540,
520,686,323,405,480,842,185,250,627,802,370,626,198,303,540,884,894,221,286,
538,094,398,488,247,568,814,249,947,181,646,233,062,716,376,338,600,710,877,
545,689,898,230,859,221,641,940,897,661,046,930,653,611,051,207,445,229,037,
004,014,352,177,128,605,092,296,893,081,131,398,536,234,235,005,242,969,841,
632,792,912,196,662,781,033,813,502,431,977,008,308,855,590,638,068,781,794,
870,972,548,580,620,121,420,210,266,948,355,228,251,886,504,366,238,504,544,
970,079,134,495,349,731,836,514,456,702,853,669,123,732,714,394,358,162,840,
969,056,342,785,307,402,770,142,178,028,502,974,250,903,943,295,959,973,078,
739,759,677,325,086,554,948,852,984,945,904,862,729,764,709,588,814,511,255,
853,945,197,087,350,340,515,946,176,229,277,527,327,322,623,621,980,562,678,
697,739,999,639,947,789,460,686,727,181,090,289,700,218,328,949,739,768,970,
496,007,166,177,397,034,446,175,645,271,039,540,149,210,600,632,887,165,773,
844,947,785,465,414,178,028,594,820,712,426,519,895,652,988,602,776,097,109,
346,279,204,986,695,819,807,845,965,846,611,543,904,220,940,978,081,531,874,
742,402,819,062,193,294,208,783,734,174,610,496,855,317,636,253,844,950,927,
051,387,568,104,826,459,952,831,873,737,178,245,983,378,360,920,206,900,467,
532,531,928,412,778,151,616,640,586,677,012,466,896,929,702,712,321,648,680,
585,147,022,923,135,967,870,948,908,826,975,787,550,414,921,664,880,613,091,
474,986,804,325,637,049,236,495,353,816,025,148,670,428,566,320,690,500,935,
357,068,309,723,681,536,136,099,292,647,429,726,746,043,604,712,148,392,656,
867,437,679,514,403,084,512,600,997,902,500,827,334,341,170,227,215,065,781,
887,020,758,789,426,596,934,973,912,524,720,799,265,484,075,678,509,318,108,
092,136,330,436,182,865,908,567,993,653,652,884,493,825,161,100,778,109,949,
280,122,964,381,319,569,611,009,335,449,632,202,967,451,971,968,504,603,249,
303,362,506,365,404,728,431,212,364,165,313,922,147,980,512,033,803,965,085,
833,725,450,912,740,063,755,849,665,186,993,740,896,295,035,439,812,283,200,
062,817,319,735,757,674,996,380,737,582,532,453,469,107,865,763,260,928,678,
497,211,927,290,615,762,434,236,661,615,514,893,909,577,911,174,972,693,100,
014,399,407,743,322,178,005,770,848,804,741,578,335,399,054,908,446,057,807,
630,927,611,234,479,890,684,152,715,679,786,664,150,858,298,108,938,121,593,
283,620,372,223,529,816,360,658,910,958,134,612,315,775,757,608,305,657,544,
442,680,156,840,400,628,278,365,092,559,888,985,433,898,056,700,873,627,641,
535,494,668,770,116,234,956,473,675,607,771,362,325,088,326,439,593,006,301,
954,546,620,406,529,442,194,613,544,076,695,854,548,903,437,446,967,772,473,
517,994,587,705,233,716,520,387,579,372,330,165,301,188,193,261,064,172,929,
165,536,777,742,433,300,397,528,672,651,572,619,744,563,959,149,753,380,519,
116,038,422,244,226,128,148,304,442,098,709,777,276,730,436,292,077,825,434,
318,952,991,356,455,708,330,200,096,667,265,724,161,623,659,208,594,984,859,
708,877,128,415,383,154,514,799,606,609,218,852,889,426,998,573,645,692,787,
615,658,366,474,980,645,308,210,564,156,506,843,589,382,237,961,705,641,459,
228,729,800,665,592,043,080,267,486,540,631,380,418,213,909,299,745,952,727,
603,577,397,269,311,629,440,867,197,616,843,662,853,374,622,948,154,356,972,
235,530,372,194,209,083,681,955,979,247,514,337,150,582,909,672,640,912,657,
287,538,108,136,725,796,797,572,748,528,743,995,233,934,136,636,285,690,372,
400,562,122,408,630,236,697,706,600,033,171,947,880,774,232,806,770,328,016,
131,966,553,771,989,209,430,413,394,042,015,151,987,948,668,785,488,577,656,
154,327,949,529,375,398,923,887,819,089,319,907,203,845,114,501,030,130,155,
549,385,058,148,206,894,283,452,292,925,770,910,978,094,853,403,739,229,452,
443,173,096,621,511,950,896,474,157,581,401,216,294,562,529,463,527,061,210,
078,843,140,666,303,004,510,773,403,142,458,046,812,182,813,261,317,722,956,
482,483,430,068,694,668,544,772,000,931,617,966,028,050,157,344,541,852,718,
086,540,869,722,361,147,543,986,165,979,784,920,621,009,028,962,764,416,712,
744,254,723,564,423,697,225,875,812,138,106,515,409,431,584,715,878,432,324,
389,114,501,275,461,547,254,965,058,982,894,996,391,097,525,213,702,521,101,
791,390,719,067,919,431,485,400,347,874,519,290,748,389,976,917,522,215,440,
375,911,152,147,499,755,882,062,861,030,189,690,908,330,119,774,427,738,769,
680,528,106,100,098,462,937,293,125,711,664,056,747,491,149,255,136,869,756,
503,078,379,653,996,151,569,420,481,626,088,871,068,951,069,951,246,962,051,
630,559,866,877,323,036,404,360,551,145,136,280,466,012,720,725,415,977,619,
392,351,451,083,630,731,028,525,508,829,013,346,512,918,217,024,794,481,082,
102,105,029,369,223,136,866,543,340,742,962,005,232,372,319,563,793,131,486,
165,706,182,414,648,066,945,768,502,714,802,556,510,966,147,175,130,477,431,
898,952,954,015,291,309,435,193,309,815,458,961,740,130,969,180,346,477,002,
507,364,617,259,976,768,327,020,498,435,246,665,702,412,624,041,716,419,676,
698,628,118,364,781,912,225,514,656,575,456,385,485,641,105,997,062,394,694,
933,214,541,939,294,961,849,125,320,242,873,086,830,453,791,883,668,580,030,
845,996,260,609,514,979,443,992,951,788,297,189,169,560,575,979,347,924,227,
063,993,462,012,269,571,305,725,763,353,565,792,500,559,536,470,788,849,734,
692,007,587,757,251,687,626,541,903,733,642,174,508,336,862,570,716,106,836,
670,906,183,081,562,991,490,617,075,816,434,479,842,246,460,844,048,117,203,
479,487,972,476,564,335,180,301,917,217,948,582,938,135,036,013,901,328,818,
432,436,835,912,566,486,813,496,328,455,954,645,151,974,327,781,642,703,180,
722,804,684,371,844,875,727,609,082,944,826,921,730,360,803,200,033,832,931,
731,324,220,959,812,958,912,508,918,940,489,668,052,953,226,220,225,417,536,
045,057,217,866,440,783,212,992,080,232,737,445,545,649,507,109,399,471,581,
222,498,128,810,742,076,703,292,340,185,301,197,286,848,548,517,611,815,865,
261,253,829,170,065,520,375,926,182,308,291,716,244,190,504,081,705,224,638,
490,076,245,707,088,800,858,638,442,827,106,680,468,830,461,269,857,985,760,
599,783,185,948,316,539,631,924,519,264,044,627,908,019,806,699,922,012,009,
227,994,157,158,316,104,389,834,767,884,692,871,919,318,767,209,586,734,691,
370,588,505,852,505,663,244,417,790,573,722,079,992,657,057,067,134,192,296,
100,979,563,682,083,668,669,844,236,458,837,136,673,314,533,965,748,372,246,
991,138,304,092,317,692,344,268,200,982,851,368,567,944,658,868,508,688,671,
561,148,893,630,718,010,570,882,933,168,333,837,234,432,144,764,863,546,022,
179,146,840,919,678,477,175,095,479,927,233,135,615,674,762,028,275,807,274,
720,910,553,502,692,505,244,286,074,289,174,015,000,193,185,146,277,760,196,
804,347,353,099,519,826,905,586,270,537,230,338,792,364,089,579,355,699,160,
031,348,744,131,161,927,349,515,005,752,792,763,598,678,759,280,991,989,425,
387,579,517,311,108,173,477,144,593,500,355,485,435,144,256,166,881,180,769,
289,024,772,393,909,968,704,558,874,287,726,947,078,598,705,816,872,533,715,
174,966,480,489,594,295,998,013,250,380,865,630,807,035,602,071,286,416,312,
120,222,248,877,004,590,810,375,792,536,970,378,036,563,119,594,594,393,504,
929,090,241,020,785,801,967,397,264,899,925,227,795,035,600,772,027,741,078,
374,714,480,100,509,082,991,014,411,197,466,426,310,440,668,232,436,990,685,
894,840,790,698,133,411,632,053,040,810,540,625,506,225,730,844,682,989,496,
118,753,900,823,894,666,917,509,132,749,811,129,935,019,004,174,024,899,199,
598,138,967,049,491,998,124,007,334,974,809,160,386,649,741,880,169,286,044,
093,332,822,312,545,203,396,852,354,257,345,114,869,923,917,543,382,745,320,
942,488,815,764,087,026,058,683,326,694,096,833,033,077,632,518,657,306,660,
718,438,875,684,017,279,868,207,964,775,306,574,138,637,113,543,873,163,068,
970,212,672,100,931,923,336,672,009,376,885,554,054,905,301,256,995,374,506,
581,808,264,300,579,338,584,126,285,356,259,653,533,584,107,112,135,591,725,
325,118,505,025,332,370,637,722,504,232,355,956,307,641,467,479,763,081,646,
398,408,992,550,233,262,806,166,722,510,914,966,361,973,320,080,316,840,071,
748,763,746,327,647,978,352,092,451,729,551,610,922,400,992,670,394,615,979,
518,476,792,604,069,803,627,587,677,544,415,393,876,048,364,706,174,299,968,
026,130,196,263,022,107,265,266,788,204,433,312,319,341,600,189,065,140,803,
401,508,213,195,168,261,718,966,870,056,791,023,762,148,924,492,364,664,859,
642,250,431,611,729,046,668,433,025,173,160,199,987,365,173,861,121,546,250,
112,714,446,014,019,993,299,794,920,803,751,765,244,269,839,561,017,411,983,
820,973,429,597,496,609,531,530,487,225,777,523,310,285,187,284,192,673,170,
784,159,557,789,696,794,922,353,593,841,340,528,668,985,958,137,522,484,653,
708,299,529,096,489,327,499,232,132,458,274,409,463,163,085,207,902,031,851,
357,010,983,830,564,910,831,841,883,823,783,343,110,220,615,045,210,721,880,
591,722,140,428,484,330,076,131,079,784,656,177,767,792,217,867,469,882,412,
247,590,276,946,067,510,635,057,861,999,890,095,224,144,838,780,329,085,026,
052,180,507,502,204,369,094,387,109,065,950,121,276,628,519,263,352,965,489,
349,188,036,167,293,965,894,781,687,840,556,888,966,348,629,408,351,654,837,
916,077,042,489,227,802,844,098,262,738,710,549,138,609,084,561,782,526,323,
727,777,671,489,325,517,138,173,410,189,212,848,436,720,159,791,127,267,711,
424,187,785,550,713,046,321,100,015,205,374,472,095,592,552,343,280,251,214,
618,028,219,530,074,742,196,691,336,492,550,620,022,126,390,715,503,187,852,
753,084,072,933,796,452,327,081,094,054,597,375,759,877,537,085,099,290,587,
624,140,014,796,856,603,274,730,922,817,207,076,265,136,072,064,360,987,468,
415,202,445,944,743,306,040,545,184,257,256,499,213,187,774,468,981,581,335,
163,325,353,534,272,331,974,648,783,012,444,436,128,919,282,345,683,129,229,
652,873,448,551,278,825,427,708,086,580,585,092,755,992,788,750,218,023,875,
611,877,613,337,930,054,620,794,356,479,938,778,316,864,065,987,979,629,014,
414,366,146,108,526,042,921,669,586,067,922,325,945,154,770,183,442,076,456,
369,901,411,848,983,362,089,821,635,635,361,970,452,158,692,914,028,913,844,
441,914,647,186,913,884,599,252,239,803,336,471,339,853,799,230,639,533,683,
645,484,423,563,688,621,663,440,381,426,555,817,051,673,467,417,056,379,696,
742,006,884,759,721,350,532,201,547,663,866,467,872,400,053,183,421,069,164,
491,727,370,469,700,082,289,996,999,621,138,222,005,349,588,205,717,462,355,
128,778,162,459,693,203,701,633,198,901,260,200,799,776,909,767,825,377,533,
984,586,038,619,131,142,368,587,419,511,015,966,309,080,270,179,854,310,195,
320,869,665,324,300,314,874,703,387,512,395,564,029,190,761,975,067,851,098,
099,758,314,072,354,916,273,486,500,114,446,866,144,353,049,918,906,470,791,
754,533,826,455,960,271,881,941,921,649,642,708,685,213,318,621,770,129,565,
155,364,098,987,217,821,789,302,645,354,764,664,324,666,165,280,810,606,110,
422,546,831,128,349,131,245,178,835,791,773,977,406,611,640,476,788,912,291,
351,644,549,671,389,171,120,068,377,255,504,661,369,719,997,677,859,142,152,
675,564,223,290,852,926,530,608,907,348,706,845,076,726,932,153,908,296,497,
267,662,912,761,643,934,248,957,581,911,726,273,619,656,612,054,201,353,226,
855,160,681,471,518,112,883,957,876,345,888,602,834,115,608,688,366,583,597,
758,781,702,813,324,799,527,453,514,592,103,748,768,337,083,679,850,231,823,
409,259,076,327,112,957,971,160,616,556,560,356,912,277,561,167,924,543,176,
578,300,712,791,930,609,165,489,744,687,162,752,032,412,488,359,011,660,040,
514,779,353,317,085,973,167,144,701,426,716,532,780,366,472,021,614,098,093,
002,143,105,126,177,095,997,694,776,201,947,461,684,100,025,380,169,179,011,
847,933,043,828,279,323,689,946,785,026,711,079,654,871,167,213,844,378,834,
361,433,884,007,602,446,491,282,136,889,262,255,878,318,787,803,800,770,540,
954,981,240,427,546,875,100,941,961,433,835,848,984,757,713,260,409,556,113,
583,829,769,285,648,156,241,182,095,283,338,765,632,085,734,062,730,822,725,
078,728,032,324,735,829,472,197,658,753,497,110,270,740,504,107,769,787,248,
060,429,283,154,969,209,265,677,922,198,507,514,863,381,311,295,703,451,742,
710,625,121,447,903,982,301,268,674,072,761,646,352,015,967,179,091,601,355,
297,987,120,771,096,938,003,444,144,332,563,952,872,466,513,695,172,533,778,
786,763,956,711,625,527,528,656,510,977,511,138,351,459,779,582,098,824,553,
506,028,807,833,875,537,677,664,091,143,224,840,825,154,340,036,774,548,627,
146,883,685,324,184,902,628,639,827,807,081,790,263,898,515,193,273,314,789,
049,485,427,657,693,297,060,645,716,428,048,595,744,896,542,519,951,407,129,
467,873,129,576,526,138,357,677,465,665,981,592,376,288,347,308,574,582,613,
791,178,862,181,367,808,880,311,695,320,625,762,173,856,518,314,559,167,371,
074,231,176,773,690,771,235,242,687,372,612,870,653,729,206,309,010,098,327,
330,379,570,240,932,818,394,710,725,622,991,391,464,778,876,393,996,589,045,
412,428,626,685,941,213,144,697,794,441,787,392,588,917,193,007,002,503,296,
969,912,032,689,167,039,998,241,165,654,360,001,016,400,267,489,267,317,417,
171,031,845,400,223,947,513,304,106,781,872,870,613,959,530,608,684,616,061,
497,269,732,723,175,841,525,701,207,543,301,677,823,901,226,919,279,991,943,
071,861,584,460,817,991,174,302,665,946,107,653,747,676,503,658,538,420,851,
370,652,661,681,463,994,857,585,432,330,225,921,357,924,503,533,569,997,791,
753,076,656,071,681,985,580,144,742,272,655,961,712,427,115,231,614,328,946,
484,434,765,154,714,020,530,984,494,630,303,686,146,265,173,534,461,662,896,
727,186,879,852,439,902,522,950,243,306,601,483,395,469,135,825,298,068,396,
049,367,022,364,771,809,325,285,893,792,215,252,630,144,145,006,292,261,298,
132,442,596,482,085,681,411,366,031,691,411,321,697,816,725,304,447,314,578,
076,811,642,688,311,099,294,977,639,569,632,927,498,199,046,367,111,381,856,
296,666,771,713,739,640,212,224,962,032,589,436,421,706,460,280,368,031,935,
792,460,330,126,161,006,635,919,309,258,763,561,907,453,817,143,947,905,296,
897,685,476,756,363,400,002,971,917,028,361,164,207,444,099,377,506,166,650,
204,202,519,128,941,093,709,679,759,201,159,717,351,225,413,564,270,858,179,
302,460,097,493,503,974,329,076,076,946,119,736,209,108,095,589,789,671,017,
706,267,119,020,754,413,293,379,341,323,284,007,131,834,698,906,640,925,040,
330,169,515,623,530,082,560,650,133,993,247,906,009,600,283,025,026,534,918,
785,302,481,574,758,962,238,633,375,348,231,961,655,067,576,411,012,629,211,
338,438,504,412,756,290,378,711,239,369,767,681,810,424,642,483,172,148,260,
050,091,788,846,799,883,327,366,720,872,905,834,155,829,876,734,469,402,460,
371,027,096,946,071,641,909,758,234,055,380,222,666,850,425,116,224,796,196,
648,418,458,067,132,599,694,565,704,698,708,143,188,503,665,718,037,984,306,
687,428,646,315,194,452,472,702,677,081,767,264,857,502,087,170,332,850,846,
959,522,991,209,174,201,462,165,768,606,704,803,162,546,789,272,120,252,256,
371,640,922,389,422,585,652,795,336,183,016,639,816,123,520,113,684,174,350,
154,535,182,243,988,805,606,667,633,685,617,790,184,442,152,493,697,398,619,
380,249,230,106,119,922,982,874,388,263,297,649,844,410,570,148,425,190,458,
272,511,704,273,616,389,435,535,221,782,263,853,756,747,505,169,940,039,446,
692,328,675,472,256,720,132,739,949,293,352,778,742,282,130,064,874,020,536,
223,124,787,759,965,881,701,331,997,828,843,330,225,980,582,982,163,580,257,
085,846,106,452,285,958,468,076,447,688,069,373,138,478,073,003,430,025,658,
117,039,077,259,853,966,497,075,636,591,704,442,358,190,715,028,010,861,195,
890,856,147,800,811,116,744,050,848,488,683,630,655,092,091,534,552,109,822,
635,339,017,506,247,954,258,139,086,875,182,131,964,398,803,073,194,839,378,
730,118,720,066,883,323,545,106,446,946,683,339,028,627,529,146,472,962,065,
338,449,748,428,049,202,856,594,658,453,652,325,351,301,393,942,011,647,576,
742,056,814,213,702,045,580,941,891,429,155,592,368,418,334,511,335,179,004,
157,927,784,885,131,646,070,430,759,732,677,680,026,754,748,536,105,125,250,
356,213,414,267,917,165,600,402,213,729,870,322,369,787,639,567,382,119,320,
966,380,443,517,706,002,044,500,860,670,525,274,756,210,447,830,599,320,003,
054,367,850,831,258,397,261,152,345,780,475,563,204,626,265,495,879,491,199,
538,689,333,331,988,213,175,636,480,498,631,274,595,359,191,460,717,230,158,
564,068,416,571,600,263,402,343,118,450,260,706,972,682,872,544,839,788,030,
903,563,309,714,356,681,248,337,814,011,214,093,492,669,933,961,636,586,278,
978,849,918,660,716,449,588,282,053,985,220,305,938,029,394,920,684,759,593,
747,044,984,641,971,005,394,160,100,896,026,867,042,043,303,145,896,189,223,
190,832,151,237,231,329,557,875,282,355,001,801,547,632,452,531,431,247,642,
422,649,734,055,376,550,806,736,042,166,045,332,231,645,177,038,327,166,711,
404,715,880,930,910,985,666,059,874,369,397,338,985,707,484,435,327,334,543,
899,985,893,461,773,160,148,502,924,654,333,404,183,034,270,265,382,321,263,
623,422,396,953,431,827,433,626,863,786,880,967,204,808,628,146,775,187,564,
598,770,689,457,301,997,047,485,202,224,695,479,397,442,400,546,412,174,915,
301,443,300,287,937,785,268,941,205,716,526,034,420,515,071,495,974,591,301,
975,759,470,103,425,466,573,510,803,634,983,141,192,405,281,101,960,857,339,
519,898,352,165,722,767,429,668,611,156,110,065,463,998,880,398,252,768,202,
030,542,777,893,363,126,554,377,611,787,057,942,151,701,781,207,032,209,327,
519,464,497,472,788,632,097,133,414,696,156,774,910,596,891,848,255,438,012,
058,227,088,912,672,501,933,520,756,832,899,893,833,903,301,372,028,736,635,
114,475,766,073,497,527,179,795,491,370,204,167,987,730,116,591,375,934,864,
800,757,084,532,375,510,765,822,293,711,102,542,895,987,081,333,505,910,534,
887,547,710,795,297,902,427,909,661,541,068,891,238,184,426,037,354,694,632,
588,288,062,664,298,967,714,054,981,907,627,818,754,293,761,020,382,217,393,
961,284,969,146,854,150,266,282,630,005,136,121,541,855,206,766,029,121,300,
054,005,796,600,161,151,883,091,341,185,887,663,785,283,941,592,460,878,594,
433,391,577,640,478,788,274,754,680,461,984,325,781,966,722,697,074,075,328,
001,553,252,237,189,377,954,917,230,729,325,202,144,680,799,309,453,005,261,
742,028,156,803,628,318,905,277,065,104,261,507,648,376,155,519,348,756,374,
211,241,488,259,853,435,156,273,768,834,319,428,972,942,003,282,705,051,431,
250,214,787,047,621,636,678,623,684,399,645,857,444,023,080,889,936,052,506,
170,701,121,192,492,135,382,146,165,775,041,935,710,402,570,277,465,840,850,
589,440,739,237,631,411,085,988,245,819,601,822,510,408,437,464,365,630,435,
825,031,256,674,787,498,985,802,205,904,964,058,965,503,240,153,223,078,441,
608,962,961,745,149,863,614,044,712,984,205,140,308,184,181,118,746,585,013,
818,562,197,424,396,102,389,036,258,242,121,404,562,096,956,000,883,040,299,
418,199,803,036,677,750,673,142,176,513,016,536,196,340,400,434,465,934,850,
358,007,594,796,612,641,180,770,932,692,127,556,423,656,828,301,098,824,740,
465,254,440,805,295,866,308,023,094,884,620,026,343,701,752,448,287,898,120,
202,822,869,691,343,508,467,559,946,719,254,935,065,106,725,865,869,673,265,
851,676,911,084,296,128,622,123,101,175,947,591,018,095,269,090,561,793,061,
456,943,583,241,117,349,835,704,093,538,455,305,459,904,430,267,615,846,215,
063,089,076,270,739,058,613,486,073,106,665,900,642,231,496,594,119,221,042,
499,626,699,074,504,606,878,621,566,725,641,228,602,128,876,955,611,069,321,
636,173,902,214,754,025,027,511,489,135,182,837,992,574,516,632,657,335,971,
671,087,091,615,863,563,883,770,365,730,687,158,511,019,518,700,198,183,490,
300,118,924,673,223,896,708,325,183,090,601,037,160,876,653,663,194,117,388,
176,909,829,421,253,176,696,291,649,014,357,950,869,008,349,527,015,094,043,
249,630,996,587,211,001,538,342,679,294,859,607,711,327,528,140,681,529,103,
065,415,975,781,801,868,955,185,319,897,154,332,521,564,773,846,980,795,892,
558,024,197,561,632,091,658,441,021,906,665,806,030,053,796,640,177,670,016,
020,766,298,782,646,657,575,644,160,576,454,568,467,051,033,339,428,548,894,
739,732,123,533,415,767,326,504,202,977,599,646,357,617,888,797,315,740,061,
579,290,064,579,570,331,873,276,516,250,461,774,847,766,657,531,849,579,189,
517,374,350,707,128,194,596,800,706,124,156,356,067,771,193,792,455,346,197,
334,384,467,137,062,048,543,556,532,948,259,365,630,336,563,817,604,571,680,
347,158,036,698,290,927,410,485,669,741,113,956,842,122,272,990,182,080,258,
084,540,647,879,724,163,294,026,059,217,952,372,106,637,464,087,971,969,683,
142,485,850,177,738,725,981,539,651,629,196,248,298,030,709,140,435,408,914,
911,422,934,753,740,174,456,553,741,911,766,737,787,743,676,413,958,078,967,
695,441,069,048,868,875,614,505,798,899,810,842,781,939,664,904,400,641,851,
635,704,012,140,825,322,973,405,525,146,348,299,083,033,066,563,993,272,022,
138,516,079,208,985,026,905,451,398,429,732,616,376,107,161,611,837,052,698,
062,332,269,180,584,784,903,444,192,192,280,711,210,208,970,339,170,808,669,
007,820,227,127,525,310,288,377,883,144,746,829,809,094,056,332,722,461,688,
303,650,466,566,183,921,332,577,138,927,543,193,731,774,301,399,690,692,469,
739,276,029,633,425,372,518,698,802,300,902,593,595,364,850,580,834,667,415,
270,245,875,611,178,007,661,724,112,307,960,949,031,926,364,569,353,698,948,
854,906,584,428,581,510,115,218,644,159,892,897,349,687,040,395,709,785,083,
921,102,868,619,587,751,827,459,186,891,250,750,954,913,432,187,802,488,545,
903,084,978,537,972,145,716,585,972,710,042,009,942,399,642,122,676,320,965,
255,985,722,801,401,698,624,018,689,166,441,439,632,562,395,070,137,839,531,
313,958,027,892,256,192,951,182,710,718,373,625,831,121,000,148,123,143,545,
001,040,467,173,076,944,424,431,448,456,429,817,574,834,189,959,995,074,267,
169,330,855,238,504,753,324,356,833,725,137,719,714,661,100,686,067,720,137,
929,143,121,249,000,529,072,727,226,857,247,981,532,809,721,923,191,574,701,
898,980,540,717,347,208,044,105,702,781,478,584,953,948,614,010,008,414,109,
324,482,032,005,703,473,712,927,802,071,385,954,154,419,123,429,220,241,847,
249,908,821,113,595,870,969,571,159,574,615,592,553,428,823,700,537,121,793,
299,468,312,004,594,293,270,101,785,010,834,418,869,619,411,049,425,461,093,
429,339,130,067,335,210,033,539,390,945,987,354,011,432,806,906,929,401,507,
049,199,520,407,743,750,824,311,098,600,727,970,025,057,548,459,145,172,593,
505,540,101,384,438,388,215,159,206,582,915,738,952,156,902,025,746,901,160,
147,999,968,190,453,290,028,739,118,871,637,517,110,891,259,330,298,194,170,
325,691,449,514,899,221,574,233,329,563,925,545,336,871,711,957,188,947,441,
254,070,208,542,186,230,363,797,037,965,593,780,194,833,701,540,987,900,587,
981,195,969,471,217,306,061,792,116,811,201,365,872,631,056,337,820,551,622,
132,877,822,886,700,077,822,908,647,675,102,518,228,182,006,394,554,944,225,
967,868,796,794,659,911,108,583,177,303,963,496,876,440,764,012,385,762,971,
089,301,750,585,046,630,966,821,088,643,016,178,579,543,532,579,936,310,113,
797,673,575,904,018,539,618,931,923,583,423,238,993,683,382,678,275,030,151,
385,551,946,527,930,061,867,299,144,996,854,720,792,714,482,655,906,416,751,
086,063,917,089,069,087,279,817,661,037,349,913,079,862,585,529,891,526,999,
032,384,489,632,943,987,709,306,559,397,446,828,612,460,058,204,193,345,879,
471,569,939,463,386,342,649,510,821,439,080,739,321,571,240,573,695,480,764,
819,672,503,239,445,353,446,599,743,593,202,957,467,230,114,653,879,706,509,
971,000,615,745,514,384,663,121,903,973,550,063,968,329,373,652,135,314,678,
420,139,525,975,028,549,634,174,251,352,044,298,796,958,208,625,306,893,566,
643,817,116,078,459,195,360,150,288,593,171,902,981,101,739,732,498,238,333,
687,905,085,010,723,904,389,024,422,760,461,237,336,718,032,852,056,311,934,
558,885,081,977,618,710,085,346,496,243,501,890,477,125,886,066,263,373,107,
706,121,927,767,466,160,753,486,932,054,117,002,550,537,153,792,753,292,491,
234,936,346,848,677,665,114,313,571,531,506,864,690,604,504,586,471,390,670,
543,480,757,154,840,975,969,717,666,261,403,092,502,417,268,834,829,567,608,
003,852,586,740,399,793,421,024,464,220,763,506,219,429,938,654,050,437,905,
074,552,540,143,962,336,515,097,482,887,603,781,611,408,199,883,350,908,754,
216,950,684,823,478,183,129,032,707,002,049,537,796,809,390,580,560,348,066,
604,653,279,903,990,709,511,861,919,942,241,263,568,587,210,669,211,962,636,
243,322,240,948,367,104,830,584,168,668,830,041,730,536,329,488,778,060,374,
430,956,928,411,944,738,385,600,727,090,611,953,896,102,381,228,926,325,453,
463,147,490,424,374,885,472,986,289,220,798,132,915,580,877,842,606,817,343,
123,396,260,671,314,585,980,565,445,602,449,465,554,281,621,370,333,345,696,
093,340,017,080,642,554,995,794,613,654,180,035,292,540,253,489,847,889,262,
610,804,995,471,347,857,230,419,480,415,445,730,240,791,353,657,619,847,574,
553,622,860,814,511,291,963,609,601,357,508,606,254,194,900,292,687,673,048,
052,749,343,674,931,358,148,622,389,696,560,549,537,202,677,731,629,809,886,
609,580,637,319,011,237,740,620,142,117,257,401,582,117,570,899,654,055,596,
196,919,609,998,980,904,185,115,965,200,495,668,452,504,942,945,643,687,129,
859,066,983,778,553,062,787,360,453,414,961,797,692,582,564,236,391,775,611,
541,292,099,953,848,424,958,164,099,662,332,203,542,103,795,629,472,149,862,
287,664,875,108,915,822,327,209,952,581,693,210,279,751,822,121,459,811,602,
209,007,373,120,608,432,681,320,183,902,156,435,466,066,230,863,795,011,201,
925,137,510,853,246,757,852,719,879,776,110,498,504,393,942,324,702,885,087,
156,911,663,223,063,640,114,522,454,592,135,355,304,114,392,779,150,338,201,
751,246,773,376,752,211,985,060,780,519,691,186,170,361,287,117,466,042,523,
921,014,531,045,757,087,217,808,179,391,405,903,946,953,659,056,322,787,421,
941,978,810,314,321,044,042,599,506,366,866,897,514,807,263,385,769,380,676,
832,078,976,775,949,209,942,327,622,900,325,667,896,719,893,779,155,273,204,
818,170,820,667,987,433,439,794,098,127,448,094,589,524,147,896,740,286,361,
548,344,700,958,813,815,688,586,725,751,628,665,797,063,892,694,661,007,792,
633,225,477,482,260,298,904,406,886,407,046,969,400,631,306,640,796,256,542,
534,886,747,214,498,295,569,089,373,348,104,942,329,974,320,914,192,868,008,
315,352,569,025,244,910,079,160,489,390,446,997,539,763,823,528,143,236,418,
452,161,858,428,715,317,282,138,612,152,335,736,408,723,928,081,134,961,549,
655,754,047,747,480,997,765,811,442,296,747,149,551,549,579,320,922,104,510,
022,039,452,589,002,652,904,045,512,539,705,576,218,055,388,814,889,805,478,
167,270,263,621,672,383,083,213,129,064,813,496,173,699,942,913,442,838,159,
148,317,768,832,136,417,797,088,702,151,722,335,864,302,816,502,805,277,618,
683,134,393,321,285,972,644,247,390,051,085,472,115,395,360,230,080,699,921,
356,225,385,933,070,149,382,841,866,931,656,236,882,090,128,051,898,342,781,
043,999,095,746,569,378,802,847,736,298,347,704,059,308,793,098,878,735,163,
407,813,605,417,021,664,269,832,761,194,083,932,174,757,703,059,698,313,847,
097,492,061,052,207,222,669,399,847,107,562,503,666,262,094,357,670,273,959,
911,850,108,909,628,750,006,129,400,837,758,078,381,469,418,916,334,369,613,
471,093,141,241,981,423,172,119,952,976,583,390,252,109,128,827,017,572,271,
869,622,596,116,726,086,681,952,577,516,225,870,441,849,066,653,560,639,387,
254,149,456,035,027,339,322,838,144,817,523,414,761,496,878,824,199,919,243,
602,358,021,556,984,015,254,647,893,441,468,471,497,345,850,808,015,225,908,
569,103,526,386,287,605,403,664,068,521,014,425,694,722,670,992,293,474,412,
545,704,451,861,096,720,310,516,356,393,140,576,568,270,630,981,228,537,636,
079,070,737,285,175,754,859,239,566,060,910,371,241,131,967,415,440,403,035,
802,621,912,173,225,753,816,739,885,765,768,478,021,423,008,691,816,032,703,
605,467,183,646,598,980,281,769,807,749,784,665,364,125,909,427,430,309,110,
289,264,114,517,033,515,394,596,653,788,258,853,134,005,503,416,365,396,864,
237,857,631,021,832,728,994,485,396,517,262,531,114,713,901,176,201,234,978,
557,069,820,977,023,306,814,756,123,654,147,051,025,211,573,655,334,004,857,
464,271,049,660,532,389,406,441,424,972,226,659,205,075,283,056,574,677,493,
829,243,516,566,060,637,787,841,834,282,572,881,180,317,381,566,840,285,147,
364,620,577,573,799,818,880,403,683,475,017,239,890,608,848,209,349,908,766,
435,270,447,925,369,672,845,251,979,706,445,845,750,874,283,683,376,787,172,
023,440,870,159,568,847,278,375,510,683,909,611,819,648,835,132,350,364,152,
679,513,036,851,989,152,503,845,577,006,298,355,269,046,156,375,564,426,726,
595,339,203,004,807,901,369,979,957,620,354,964,349,007,104,664,518,301,325,
004,912,705,317,286,957,242,103,148,845,459,140,713,947,279,245,922,509,318,
413,046,904,149,376,625,092,852,321,929,172,220,918,201,780,534,117,133,460,
889,213,241,801,297,286,061,942,316,867,774,153,038,922,523,893,171,046,828,
725,974,475,855,489,483,735,449,991,899,084,081,407,511,482,511,473,736,989,
583,677,913,465,576,364,078,805,432,782,061,712,526,865,667,968,361,737,283,
370,743,139,328,233,012,973,633,611,413,692,154,688,362,814,747,892,503,525,
865,949,357,862,661,942,764,282,009,548,000,568,212,599,253,645,363,536,346,
026,433,559,054,895,810,413,518,956,441,212,438,876,208,262,747,387,171,863,
651,059,637,025,287,703,801,333,659,613,682,944,320,522,773,988,562,626,393,
871,714,938,713,764,764,910,651,264,695,238,517,504,486,591,255,632,480,984,
176,373,835,945,933,804,710,498,113,660,367,430,608,282,698,827,968,699,604,
557,595,105,066,503,411,088,998,745,928,156,847,178,150,783,453,859,140,141,
290,951,057,828,771,706,850,196,311,813,901,423,894,624,087,245,665,249,222,
945,838,293,446,909,274,150,631,386,467,017,261,009,377,183,567,240,767,615,
317,327,418,538,354,266,500,110,135,914,571,497,965,012,189,918,549,315,641,
708,126,272,869,428,488,000,722,706,348,542,935,763,569,516,029,248,996,268,
274,875,944,535,972,767,138,867,365,241,608,037,722,728,000,900,983,712,148,
315,672,375,968,041,089,226,558,189,034,204,667,751,182,165,451,115,050,045,
690,190,018,822,715,358,825,696,871,517,607,549,831,262,386,441,666,075,581,
942,234,568,826,594,177,095,909,339,089,359,523,649,730,970,867,982,145,760,
976,085,919,232,408,085,674,299,512,662,093,279,728,302,605,589,504,769,719,
780,705,922,309,888,086,643,289,198,444,660,669,240,992,041,353,459,346,341,
726,026,365,021,979,035,942,789,702,070,528,686,247,758,648,895,880,190,365,
520,948,302,272,927,446,710,142,032,820,672,494,695,899,970,054,325,501,301,
119,093,133,515,204,071,115,661,630,797,586,664,217,972,713,219,118,568,181,
891,613,527,075,635,013,948,799,117,214,765,041,655,443,679,851,541,822,251,
770,451,745,900,937,407,906,168,132,085,300,080,526,088,112,022,048,582,040,
792,922,666,702,172,959,040,538,710,671,250,416,750,369,242,347,837,336,413,
118,690,939,986,815,491,115,716,875,250,649,526,248,775,020,685,263,489,184,
385,573,463,902,085,934,442,901,856,584,361,773,338,552,182,599,412,933,241,
885,353,375,853,631,223,824,580,275,713,476,508,807,188,366,334,861,020,676,
704,451,502,273,175,455,602,271,970,608,849,599,337,031,237,511,748,639,096,
277,691,878,362,141,397,326,582,346,328,517,989,915,490,099,773,561,460,780,
844,595,751,874,931,171,212,869,621,366,706,045,381,463,451,138,151,027,329,
932,316,508,985,693,449,752,777,734,550,915,741,742,499,512,241,406,199,870,
942,826,803,765,215,239,227,404,669,321,135,959,767,009,673,803,404,160,263,
799,773,420,602,563,688,383,303,771,704,493,807,052,182,230,586,342,252,175,
176,826,155,284,516,374,631,700,786,860,606,537,443,379,328,277,909,474,840,
435,472,667,988,234,644,887,703,588,703,589,241,882,126,098,187,561,816,789,
300,303,745,398,865,827,076,856,963,925,963,832,656,308,298,256,312,724,442,
722,739,237,806,353,178,562,239,023,773,487,072,769,456,191,087,809,294,365,
944,276,478,831,040,696,492,540,688,308,620,119,974,200,194,264,259,248,325,
847,259,625,495,628,185,550,453,773,771,908,197,755,860,408,655,657,327,874,
307,734,765,224,750,709,711,075,243,567,984,749,056,885,005,448,342,784,604,
885,109,455,422,152,734,408,236,752,588,124,172,840,800,292,572,924,265,246,
276,597,336,890,558,456,463,759,612,927,913,278,100,527,860,458,875,348,685,
706,732,430,107,584,153,789,054,971,463,424,509,895,238,155,096,820,445,799,
439,322,359,959,555,989,262,419,963,751,737,103,725,365,855,214,829,431,255,
755,598,606,478,486,567,985,634,861,844,916,954,233,752,631,900,857,929,027,
248,839,809,388,428,183,118,802,199,338,963,790,801,200,959,090,671,553,911,
829,201,076,412,075,145,913,450,933,688,066,744,079,060,478,889,613,030,808,
435,355,848,395,548,834,353,963,520,337,938,109,879,830,179,805,984,532,610,
248,923,962,132,663,013,565,052,793,004,914,139,010,407,496,087,864,027,513,
827,189,120,814,243,363,643,613,675,025,038,774,416,092,913,600,746,677,877,
764,004,323,474,792,884,633,116,166,656,707,464,968,263,857,336,391,408,658,
223,077,845,964,681,510,365,328,837,045,140,118,691,159,344,379,523,268,908,
132,346,089,121,466,947,864,161,943,612,608,469,187,244,124,881,443,348,673,
894,572,527,740,016,229,574,227,895,554,658,675,199,305,508,170,307,792,058,
979,674,084,741,019,370,091,679,882,874,366,912,793,265,060,420,505,544,359,
014,337,232,891,741,787,144,634,044,750,713,002,754,284,930,148,444,608,226,
819,314,107,358,532,119,783,927,411,337,184,741,160,333,066,092,583,987,624,
894,276,337,513,103,653,195,955,522,527,088,026,008,150,998,738,475,902,357,
151,243,312,419,142,275,964,806,131,733,455,553,462,094,897,922,682,041,317,
383,348,918,390,345,309,047,016,112,837,984,151,376,879,345,190,062,454,414,
910,312,777,655,624,673,626,966,954,220,714,746,982,760,289,523,284,936,681,
391,145,062,267,939,368,255,540,229,984,363,529,599,736,390,802,233,625,156,
920,179,847,266,965,190,069,943,703,948,542,288,723,722,808,518,371,531,737,
637,665,708,898,759,320,780,817,660,328,364,773,345,202,936,451,327,919,816,
852,376,129,591,998,453,409,022,465,661,785,261,627,771,975,746,055,630,393,
464,466,588,855,941,218,267,765,206,639,726,963,537,449,772,185,009,001,942,
692,223,451,582,163,674,284,564,605,242,701,707,522,547,942,002,302,424,798,
122,258,334,455,370,879,360,004,978,172,378,967,589,045,132,269,679,884,716,
281,495,545,579,777,014,245,158,299,058,565,175,575,175,132,113,048,320,188,
107,802,068,721,447,459,483,247,698,396,899,133,154,432,896,991,808,531,676,
078,201,325,084,843,885,011,784,125,170,901,767,701,583,183,166,370,370,264,
391,492,244,075,284,730,665,852,850,304,794,714,639,071,480,147,195,578,438,
587,551,686,123,760,229,527,390,223,338,503,644,120,279,660,226,334,469,164,
880,787,066,342,939,293,243,835,605,119,149,038,010,870,446,716,765,174,118,
129,762,228,993,755,062,841,231,100,586,455,388,738,360,722,910,136,678,358,
281,296,060,743,899,792,093,907,107,032,824,543,928,145,545,914,929,689,654,
286,592,652,551,802,669,605,066,897,963,652,456,405,709,306,656,486,595,361,
653,436,558,259,871,251,667,012,264,550,934,024,687,617,282,194,383,632,510,
954,000,307,076,159,125,640,113,990,616,966,595,618,212,353,491,679,342,324,
355,147,385,373,109,377,407,998,393,859,608,217,185,548,685,650,297,516,878,
172,278,563,018,905,499,369,491,868,171,865,753,812,180,185,474,041,408,406,
920,092,420,424,967,337,378,694,423,446,029,067,545,407,792,117,851,157,090,
391,043,182,930,886,990,800,953,062,810,336,520,916,849,305,899,377,386,323,
306,450,582,844,402,706,583,947,539,636,950,112,252,174,801,987,435,070,362,
886,540,204,113,660,546,879,071,833,763,748,006,533,859,236,831,176,110,113,
185,094,593,531,501,807,109,840,517,655,775,482,823,060,559,144,963,140,646,
160,017,231,487,094,621,133,436,617,932,043,143,589,293,896,314,295,024,118,
789,797,945,464,463,178,089,478,884,528,233,821,279,329,723,809,322,975,487,
233,935,400,998,580,558,403,381,906,006,101,029,985,973,050,816,982,940,084,
675,522,950,692,532,577,168,150,473,418,230,102,403,979,255,990,074,028,596,
308,236,188,757,303,096,928,728,414,401,438,718,578,323,100,724,798,885,087,
121,149,973,997,547,529,184,635,282,605,915,630,632,503,822,754,775,806,940,
699,673,321,422,654,921,105,789,387,395,908,734,165,428,316,702,811,530,281,
164,141,075,980,900,076,438,315,270,683,839,876,242,284,352,673,715,731,750,
834,935,961,016,779,168,089,213,920,934,199,354,605,801,747,053,148,462,740,
750,480,016,670,680,902,293,048,252,504,553,350,019,715,139,129,724,968,269,
608,819,242,891,648,547,088,953,458,573,418,728,588,251,429,790,578,111,211,
792,541,058,714,935,457,689,563,417,855,794,124,206,715,902,259,528,549,889,
289,998,374,821,140,754,121,222,988,594,214,406,378,576,196,920,214,631,263,
473,749,563,479,706,743,157,656,395,735,040,064,990,519,259,246,428,310,590,
230,594,938,141,665,235,187,107,334,655,681,523,838,817,726,495,064,198,714,
148,734,835,459,897,106,311,084,375,681,425,477,561,986,120,595,123,256,723,
512,266,656,243,605,971,767,215,224,716,856,556,004,872,111,911,183,665,888,
074,389,694,191,482,931,467,322,524,995,007,107,008,637,270,668,376,036,309,
833,890,643,284,764,081,887,222,173,535,361,003,390,150,506,620,390,211,818,
451,420,938,567,943,752,420,472,991,191,590,483,533,218,656,650,141,538,852,
082,766,600,661,464,910,555,998,273,639,855,427,735,626,925,023,102,466,236,
830,554,601,143,258,131,297,264,086,840,518,203,574,029,496,064,052,479,968,
435,125,367,201,070,445,958,440,325,659,518,296,802,765,602,211,376,582,248,
610,836,401,525,506,395,077,019,037,223,785,659,819,369,348,103,420,389,673,
915,048,685,511,750,906,839,418,692,730,261,600,126,567,108,722,384,056,909,
847,926,484,115,067,076,012,844,244,611,748,635,964,367,248,854,880,888,410,
377,960,242,721,766,800,715,850,927,301,431,638,719,823,347,551,406,487,170,
849,726,411,315,473,037,437,627,942,499,359,154,054,689,771,702,494,014,287,
927,990,630,420,174,194,201,653,277,030,091,610,183,700,278,642,916,814,675,
044,458,516,129,271,918,523,294,618,332,456,840,080,205,471,171,874,267,647,
585,784,773,677,867,713,350,469,405,748,025,840,791,797,544,776,689,118,526,
091,899,370,263,697,975,517,406,906,720,955,891,420,456,864,483,929,875,329,
150,408,391,082,297,017,179,527,537,460,898,111,873,194,670,197,202,568,612,
772,905,149,801,609,167,705,213,682,953,500,738,345,235,478,615,294,817,646,
592,533,371,809,311,354,510,500,219,027,089,308,058,940,075,705,921,616,153,
944,022,520,477,098,585,507,938,782,607,235,664,816,525,973,941,433,155,032,
140,353,552,569,210,452,120,776,357,583,862,341,523,486,336,962,027,525,491,
642,516,390,249,968,948,817,231,374,854,246,536,721,910,377,200,570,741,747,
537,421,166,558,316,679,281,850,803,822,089,763,875,943,853,081,753,424,826,
201,623,202,685,426,575,000,510,393,908,729,296,087,137,552,669,615,006,035,
499,505,369,675,982,704,877,620,251,785,027,172,009,130,990,703,996,773,484,
408,352,410,365,334,775,740,745,980,402,651,527,640,306,033,080,320,575,149,
492,597,972,747,953,520,738,829,182,416,263,940,904,295,413,482,521,799,219,
784,822,879,234,918,068,650,664,554,562,281,583,480,914,411,557,031,170,293,
601,837,726,189,835,914,989,448,934,684,392,403,460,505,990,220,418,412,929,
832,006,717,500,308,945,597,903,292,919,560,915,729,747,103,118,395,497,116,
203,285,231,839,869,465,470,644,715,158,104,919,594,254,550,781,130,684,505,
995,348,472,452,959,865,062,214,201,095,558,586,569,556,299,859,318,547,517,
522,509,517,894,675,885,676,698,373,627,969,012,677,546,159,448,228,410,527,
035,248,724,101,428,732,932,005,701,769,887,121,001,792,439,761,954,351,882,
284,772,211,556,231,139,983,808,286,594,262,508,630,867,930,126,323,193,879,
401,220,707,468,418,753,266,532,431,781,618,070,174,126,814,584,912,603,825,
339,814,152,732,863,543,296,153,094,704,833,611,018,909,391,796,662,963,820,
152,551,697,811,021,794,044,803,134,530,283,758,350,850,064,266,130,033,530,
320,695,274,046,620,263,002,722,175,637,352,615,070,116,359,958,895,308,749,
701,885,283,363,167,040,442,230,604,237,593,949,211,285,243,925,637,757,451,
708,363,941,088,040,620,531,355,255,563,191,595,547,819,822,301,848,632,128,
035,014,238,092,483,876,261,473,072,775,288,704,362,795,545,704,225,724,996,
802,376,333,941,989,802,923,784,164,016,415,283,784,382,348,259,278,428,907,
857,526,204,658,994,948,057,440,302,554,461,794,310,656,181,201,054,463,592,
879,639,344,089,157,440,062,559,648,181,536,556,119,317,077,568,556,113,559,
379,390,113,197,905,871,960,388,591,111,946,753,635,639,788,746,010,034,283,
544,890,095,753,403,976,514,014,961,367,226,508,346,492,170,363,994,185,851,
805,472,915,875,821,680,489,782,705,720,754,803,476,098,975,386,896,076,967,
253,181,077,544,797,893,204,911,655,264,125,355,448,610,566,369,205,112,653,
247,857,367,521,789,384,823,294,692,939,954,217,766,672,561,274,313,542,833,
212,384,239,129,073,881,440,428,359,295,904,705,142,047,364,935,899,645,476,
049,427,111,884,792,939,581,184,090,920,641,150,756,016,564,663,810,729,870,
450,367,757,355,119,993,902,549,741,432,883,054,626,321,445,672,487,835,798,
292,217,223,779,984,965,747,943,598,405,304,201,028,430,736,680,303,694,328,
592,655,002,836,955,095,426,707,203,867,294,192,347,001,743,127,555,954,101,
217,447,267,381,689,122,306,094,356,616,086,528,207,819,459,301,307,323,012,
474,944,624,475,288,699,013,116,261,263,467,711,969,345,277,371,572,705,499,
438,183,672,151,620,023,299,176,537,140,500,639,227,407,051,517,418,282,581,
967,760,235,711,302,230,321,810,043,133,009,237,936,584,478,224,895,094,960,
535,218,165,943,850,021,808,842,826,169,984,190,519,644,908,148,360,806,199,
941,937,702,310,600,282,874,200,654,582,689,468,155,089,154,849,358,792,500,
821,564,215,506,418,817,165,845,905,375,593,201,967,314,727,146,467,060,305,
488,517,868,353,581,212,396,196,080,424,475,349,215,174,247,974,375,148,848,
817,660,711,034,430,414,063,474,089,163,332,616,565,470,412,513,735,741,406,
791,537,997,921,969,571,978,606,234,360,664,488,947,401,880,288,341,300,951,
560,104,772,745,765,948,697,818,720,325,013,889,516,136,952,661,761,005,984,
759,856,638,685,533,220,554,679,512,470,933,525,304,632,852,154,944,761,450,
529,342,105,969,377,050,186,736,933,120,775,173,976,672,551,950,096,886,572,
938,429,146,763,922,927,958,278,016,961,483,874,273,549,631,208,101,455,560,
340,839,515,706,273,080,256,030,728,302,652,239,390,078,167,503,487,505,963,
797,065,273,210,186,806,683,138,209,877,910,862,813,470,896,716,579,277,340,
560,155,656,833,111,397,953,815,137,054,124,580,560,770,431,467,789,231,586,
064,467,124,249,592,363,093,607,970,343,735,077,447,450,627,232,200,713,420,
507,526,075,416,681,550,238,411,282,030,162,580,866,057,485,824,736,940,387,
915,771,944,027,862,826,708,287,006,581,019,993,897,279,440,751,795,777,435,
188,006,073,585,923,465,022,001,879,958,364,850,862,559,585,675,724,293,910,
122,186,429,029,268,496,232,138,784,253,996,133,693,751,610,870,959,442,642,
066,324,525,670,185,916,497,527,458,790,445,766,518,554,924,787,750,149,148,
417,273,856,504,971,329,071,383,112,949,780,211,923,989,338,737,801,483,711,
713,997,564,348,522,437,939,447,433,976,475,340,546,315,939,551,155,268,644,
134,551,223,011,539,795,035,091,568,077,586,861,920,508,339,523,036,009,968,
658,351,247,054,685,067,336,311,326,583,808,674,174,045,950,429,394,501,674,
887,810,997,186,922,421,417,410,557,009,413,423,573,409,554,294,480,404,983,
871,952,489,256,743,375,717,391,383,159,943,065,447,183,384,185,008,885,621,
056,448,276,532,490,289,199,518,159,159,581,405,662,508,626,606,128,551,332,
455,132,888,329,155,914,571,222,093,552,309,256,168,934,007,336,398,791,582,
044,842,323,170,724,596,227,114,282,741,256,641,820,940,418,716,938,216,193,
375,135,345,021,424,968,058,026,075,767,121,831,665,609,617,439,644,391,613,
358,593,080,309,650,072,954,867,352,808,756,325,411,728,324,331,436,905,253,
998,292,337,200,487,195,560,137,773,022,158,719,202,840,366,113,374,391,150,
503,545,536,500,694,708,237,921,966,112,810,148,242,468,927,171,131,052,814,
152,159,349,114,366,330,287,597,430,899,983,649,381,936,371,581,874,084,493,
898,356,155,361,978,805,381,170,242,289,527,860,744,539,047,031,027,008,080,
891,214,790,146,106,358,890,648,348,615,473,074,170,166,167,538,038,142,947,
722,483,959,501,291,080,511,567,139,946,468,046,877,175,038,478,189,797,233,
070,718,924,881,207,090,344,992,506,235,557,974,034,255,134,292,457,868,313,
411,640,209,020,764,942,376,626,304,914,617,948,237,955,844,655,330,209,466,
205,012,458,364,255,212,855,289,385,804,619,818,503,514,862,143,733,354,867,
824,111,968,117,174,217,657,772,881,932,151,464,368,969,531,302,568,035,129,
288,878,665,886,241,233,599,397,072,794,774,050,533,085,615,931,160,975,932,
591,022,384,134,324,500,472,167,214,840,953,491,578,679,187,491,380,588,375,
853,195,314,619,581,812,972,611,097,114,499,204,348,640,143,238,480,833,864,
481,844,059,686,812,877,129,657,735,520,857,693,997,609,675,194,869,226,495,
788,604,231,970,761,027,509,351,167,960,335,964,915,246,413,624,355,771,435,
642,499,809,919,098,627,483,281,864,317,693,803,109,983,693,821,995,910,105,
203,756,422,778,224,340,898,029,350,694,892,282,746,173,260,944,561,520,407,
183,691,477,112,684,724,747,720,072,424,633,708,407,935,361,705,593,666,013,
313,271,027,494,142,176,999,472,002,294,053,517,104,691,469,703,094,576,327,
861,388,587,906,356,472,211,115,045,904,564,051,361,686,793,847,474,850,337,
151,617,553,866,483,410,158,613,213,983,781,066,839,832,224,059,938,689,006,
902,460,956,873,131,139,638,157,458,595,081,509,778,545,561,912,058,945,599,
700,260,105,402,993,524,753,698,933,123,887,238,144,689,252,090,341,058,674,
174,926,330,642,104,828,305,243,183,966,462,600,382,958,271,085,932,549,411,
692,927,442,551,777,124,238,119,927,388,113,763,541,961,676,589,955,150,161,
001,340,541,960,802,948,013,060,664,091,541,002,337,251,345,382,666,639,757,
247,403,111,801,113,089,284,531,574,003,275,771,214,303,325,512,227,353,647,
179,924,207,615,441,447,839,000,804,137,958,189,378,132,106,629,869,218,109,
524,521,633,256,101,424,496,463,915,231,429,776,383,451,773,414,197,430,931,
961,382,830,201,687,745,914,256,698,846,277,298,170,367,411,928,514,604,945,
583,594,853,566,811,153,507,864,079,362,179,984,563,585,756,607,191,874,953,
627,305,639,606,067,999,543,788,839,832,843,739,764,003,612,429,333,523,563,
833,272,748,076,328,851,663,947,272,634,511,280,007,009,617,701,364,813,388,
822,792,526,134,511,099,514,236,979,095,519,360,681,113,837,346,503,771,417,
235,089,706,806,668,657,611,755,836,728,195,638,183,932,818,129,748,737,763,
873,852,482,175,514,567,215,875,336,488,315,750,688,217,585,098,407,693,267,
544,804,041,580,631,571,300,247,836,354,346,212,615,655,767,420,159,997,703,
137,873,053,444,261,884,445,610,871,918,537,271,515,872,061,450,967,133,064,
559,537,497,765,679,438,293,417,376,882,820,303,014,020,484,501,946,012,969,
663,042,691,008,967,073,700,994,694,538,199,753,793,324,883,228,258,130,225,
639,985,623,824,287,600,754,627,737,098,151,486,558,240,441,644,150,656,011,
599,237,993,718,115,627,524,873,143,965,993,999,054,013,357,558,660,633,159,
517,463,223,811,744,025,350,541,693,448,464,461,333,734,859,746,487,781,507,
171,759,115,736,258,685,798,214,586,720,076,032,105,196,641,497,730,007,020,
411,805,616,243,154,236,026,993,325,747,846,405,605,624,652,653,952,097,996,
764,874,617,556,487,496,441,189,311,943,434,194,889,114,682,500,293,891,726,
591,153,728,570,651,492,421,156,735,194,090,143,294,175,316,459,533,676,774,
451,567,569,242,882,811,905,742,059,490,382,552,331,918,317,698,492,367,741,
069,074,155,756,313,812,678,104,867,835,913,982,843,739,904,672,523,156,624,
033,279,076,103,057,444,343,152,817,271,511,450,449,307,111,941,145,533,030,
874,259,376,376,388,062,685,540,755,075,733,733,648,181,597,388,496,707,593,
573,365,546,475,878,233,130,219,394,878,797,043,281,362,398,817,148,501,556,
372,285,663,792,966,193,635,546,602,012,056,271,420,690,777,984,947,056,619,
361,000,563,871,675,812,410,320,739,787,731,164,154,635,569,550,828,587,949,
288,130,199,720,993,877,879,198,268,807,684,396,910,038,970,611,272,062,882,
689,703,480,849,039,646,103,884,634,289,444,839,140,171,289,222,685,006,111,
048,813,898,359,782,134,851,778,463,009,390,273,400,397,293,581,496,966,878,
364,969,034,268,689,237,817,692,554,192,855,580,751,240,677,701,351,981,481,
336,790,377,708,697,651,002,983,904,481,033,160,784,460,909,023,016,700,549,
945,432,954,823,718,719,011,909,431,150,412,225,065,304,141,825,238,688,490,
713,562,500,796,118,694,709,480,212,717,413,288,085,891,097,893,098,873,844,
299,787,056,567,687,883,301,358,119,320,818,374,033,762,510,115,304,752,475,
500,139,985,066,527,773,663,749,946,767,787,647,249,575,001,368,237,597,527,
337,844,392,760,725,863,509,974,700,474,111,909,133,350,390,669,098,562,267,
452,601,075,446,979,887,418,612,591,370,966,521,995,074,922,718,010,879,629,
765,360,076,209,104,181,660,040,302,225,463,438,791,947,243,441,567,855,775,
354,036,681,424,018,310,834,077,105,385,132,478,543,148,260,857,363,318,811,
462,208,403,066,953,134,608,408,262,711,077,824,354,290,893,908,013,618,890,
848,479,333,385,980,416,288,968,448,473,980,015,816,515,653,158,429,365,323,
116,487,565,826,989,721,912,154,904,919,861,769,254,551,957,891,818,966,369,
305,257,309,486,600,443,241,435,939,915,236,092,428,207,469,692,042,973,377,
223,905,496,884,845,805,199,267,958,478,612,844,301,321,851,578,194,296,507,
452,297,353,512,087,278,828,345,828,359,317,509,942,264,213,974,307,550,066,
138,111,457,672,633,366,162,060,466,021,865,836,191,529,479,266,393,861,834,
675,980,169,300,590,556,643,113,887,496,733,676,883,444,939,855,546,803,843,
842,021,862,649,882,627,978,956,261,278,577,079,871,534,253,864,353,822,527,
273,085,414,562,727,317,527,666,859,215,401,251,582,013,231,010,876,619,490,
302,483,224,123,985,596,018,720,153,500,109,844,568,950,787,015,705,138,975,
084,972,024,237,879,903,482,180,859,954,771,904,587,989,613,150,123,274,587,
513,033,338,544,121,598,147,518,631,366,585,727,882,794,086,817,144,725,874,
279,972,942,105,279,769,608,926,960,656,697,016,666,450,971,019,049,178,007,
237,247,602,730,529,539,186,418,514,461,313,705,994,954,716,328,951,865,133,
725,718,369,092,259,033,413,352,493,191,069,688,029,583,600,694,274,462,961,
194,715,172,461,358,725,484,856,407,160,135,902,067,436,441,163,585,006,361,
968,592,988,972,353,417,685,949,596,170,636,126,751,910,419,264,513,598,295,
109,427,158,413,010,881,434,392,314,432,721,320,658,120,567,661,234,982,201,
040,718,454,577,079,862,647,646,716,375,843,342,965,546,152,947,458,116,321,
926,349,296,612,365,628,716,622,310,454,265,987,078,110,674,669,218,449,563,
194,679,581,737,142,788,180,903,175,140,730,473,518,476,552,532,409,984,171,
556,249,360,344,362,497,452,250,628,615,396,364,094,118,550,231,475,985,818,
812,616,414,660,467,709,705,701,663,829,461,724,268,810,363,164,722,025,514,
943,626,773,159,473,804,859,546,168,426,147,894,581,190,000,139,546,848,070,
854,608,962,378,354,132,641,255,879,026,759,009,834,100,775,599,088,642,778,
337,458,619,786,731,467,960,497,197,343,562,399,335,130,086,639,557,076,146,
121,462,445,854,539,664,551,239,629,146,603,766,036,880,307,546,218,831,162,
986,286,119,936,537,640,776,162,854,790,497,058,482,053,375,175,162,986,434,
565,270,532,396,160,540,197,788,468,558,773,180,277,141,445,380,537,400,673,
713,782,628,593,103,043,354,274,169,699,853,775,226,210,677,666,365,547,683,
572,327,382,240,188,863,665,202,500,121,884,227,354,362,673,365,383,245,669,
819,880,614,162,423,656,808,306,206,168,079,511,543,589,942,752,452,577,193,
947,096,386,026,848,329,197,323,949,631,398,465,395,696,900,779,468,294,057,
284,415,002,299,315,218,948,829,525,908,734,310,619,683,616,694,097,011,938,
157,622,469,229,777,475,780,918,930,104,009,873,087,492,711,107,579,829,205,
176,659,048,558,326,388,514,756,889,296,386,811,394,099,092,736,675,013,712,
531,133,749,363,823,053,489,829,681,921,389,444,574,704,339,522,942,417,302,
288,040,507,041,386,412,964,011,903,403,926,900,735,391,075,427,267,613,572,
856,615,951,337,370,292,974,659,545,183,286,616,419,894,086,356,849,550,290,
555,637,601,664,977,547,591,515,649,273,099,645,720,480,056,729,067,687,675,
111,509,187,292,810,952,861,710,815,884,345,850,543,290,675,270,177,958,734,
446,989,633,089,334,313,254,835,311,913,583,409,145,317,905,664,494,333,422,
088,245,010,113,859,632,215,661,795,545,913,214,049,375,005,134,743,720,281,
791,287,268,688,684,739,448,330,260,830,094,100,629,633,165,936,525,913,487,
436,460,175,965,480,362,789,123,678,879,745,893,658,025,613,482,327,078,862,
908,705,170,103,329,133,299,981,460,129,852,445,730,662,355,403,907,616,310,
899,791,507,426,657,590,599,917,468,512,767,401,038,134,756,286,879,402,375,
081,396,340,961,421,268,727,951,152,165,566,291,235,200,947,106,801,972,242,
485,216,212,157,330,519,542,972,777,468,047,483,639,071,547,359,619,067,097,
777,407,553,673,868,639,797,293,008,182,263,317,958,931,115,855,823,090,451,
922,704,468,877,125,521,721,275,683,367,961,746,700,083,020,204,711,579,758,
294,575,724,363,664,644,723,632,217,817,770,126,422,456,727,264,355,809,800,
470,519,329,398,921,556,286,171,688,873,242,330,715,066,470,614,514,504,295,
988,931,351,499,901,886,143,028,808,082,134,902,943,158,540,044,686,910,653,
594,757,711,331,283,352,640,311,166,539,503,057,254,992,914,504,415,397,540,
486,816,170,252,044,768,361,136,756,698,517,123,503,970,964,571,131,089,284,
497,019,021,769,961,387,457,935,099,816,162,517,469,817,905,826,096,154,774,
762,937,535,854,315,803,935,996,721,867,249,870,454,330,319,743,629,370,184,
577,659,938,581,255,919,324,520,951,820,550,337,153,993,422,606,055,615,926,
235,193,712,152,303,944,059,049,221,397,698,026,458,413,595,340,006,970,927,
808,993,663,967,736,319,157,698,303,971,790,247,715,715,975,763,994,233,121,
284,542,674,055,294,381,036,576,616,282,678,845,502,557,677,696,405,082,916,
275,889,258,421,460,770,482,355,400,665,948,270,474,407,343,425,836,414,722,
918,074,076,470,120,015,115,978,468,027,678,470,408,287,270,386,544,886,658,
557,144,268,900,946,448,448,501,714,861,010,436,739,073,159,964,490,196,059,
504,260,921,952,667,035,011,665,890,445,137,685,873,337,315,398,121,597,075,
135,669,076,238,088,833,279,386,048,559,221,366,015,579,368,719,070,412,384,
561,828,102,939,590,710,062,584,745,133,064,904,975,848,734,378,314,064,164,
779,531,013,030,851,398,248,734,955,613,238,557,283,151,464,513,563,229,699,
717,008,487,825,294,996,230,536,564,845,196,912,841,773,752,116,463,923,035,
484,003,042,782,239,679,102,928,082,953,628,995,111,937,229,215,033,629,301,
619,319,418,939,910,987,960,886,769,755,210,261,846,817,885,048,586,599,566,
938,105,013,037,475,818,987,024,209,303,445,735,502,629,727,107,508,926,123,
356,080,611,679,874,751,214,895,447,468,035,536,495,032,513,266,943,861,432,
062,115,488,885,867,449,782,651,095,114,882,117,384,187,071,257,021,739,983,
173,773,931,586,161,911,449,150,649,972,997,109,494,745,540,078,452,109,917,
838,100,461,144,865,906,116,548,071,837,449,945,249,732,338,652,037,797,881,
974,061,980,536,351,448,854,313,346,179,781,893,186,806,565,004,821,005,783,
034,159,833,881,224,650,229,575,488,565,365,796,071,572,787,602,065,476,004,
257,765,914,167,752,115,990,298,590,464,935,561,017,775,963,009,655,898,798,
407,741,742,925,872,913,513,136,038,593,824,533,648,602,616,978,467,023,179,
732,822,765,590,413,537,648,542,196,407,265,256,714,047,115,383,369,833,814,
950,504,936,601,242,678,139,639,428,699,948,744,079,975,621,825,090,228,730,
176,224,516,271,346,452,768,435,282,312,593,026,687,072,808,556,117,582,094,
458,137,385,386,864,136,008,381,703,078,264,117,468,471,803,392,936,495,369,
552,564,104,746,954,695,837,379,553,199,715,783,161,753,972,908,537,103,705,
894,019,463,723,292,565,641,606,596,036,309,191,299,761,845,977,850,857,418,
859,872,201,615,569,024,297,841,685,558,874,772,289,846,928,744,903,505,188,
939,868,194,687,904,805,758,568,824,439,416,493,926,631,556,127,512,292,797,
783,887,268,733,054,987,890,273,953,256,462,952,323,789,972,999,086,986,634,
062,510,785,122,900,790,500,415,184,905,926,370,802,129,241,578,614,584,464,
877,317,156,403,877,164,789,105,999,766,221,450,259,137,911,228,832,027,459,
146,631,639,730,550,186,853,027,758,718,531,863,301,975,087,727,943,809,097,
431,895,979,644,475,759,732,451,057,394,284,898,993,743,536,615,317,326,405,
240,956,706,709,969,771,103,118,612,136,162,495,680,679,818,683,627,860,090,
618,973,965,887,841,913,099,264,573,023,708,792,016,868,633,405,674,588,602,
599,733,048,334,145,202,146,116,295,851,286,285,575,632,929,117,747,178,577,
477,978,651,676,240,039,178,231,940,461,525,489,282,822,184,683,783,187,384,
261,453,919,987,348,193,452,777,059,925,488,170,855,461,056,580,249,024,000,
381,605,691,531,204,267,260,366,958,329,485,632,550,478,654,313,151,530,553,
836,166,675,310,726,695,224,070,686,041,078,756,646,915,493,609,638,229,887,
341,317,787,771,773,252,719,169,102,885,480,547,269,346,263,418,820,828,412,
375,283,738,894,497,812,331,772,584,427,653,136,904,854,917,972,157,563,445,
957,492,751,421,524,892,936,923,948,317,830,225,276,834,570,402,145,033,492,
783,150,361,746,818,147,028,354,906,952,706,049,893,591,006,269,347,704,934,
440,011,218,273,706,233,252,227,653,617,526,037,709,291,841,155,611,569,955,
145,196,996,119,849,231,304,904,152,855,584,199,000,685,867,455,168,885,578,
485,960,437,265,048,342,219,113,756,541,211,423,543,621,726,881,198,900,434,
974,283,692,171,825,651,152,717,473,203,951,663,825,749,060,276,750,942,896,
576,537,937,378,716,025,323,873,333,265,333,808,985,683,556,774,934,045,639,
100,447,994,606,207,951,946,167,811,035,645,134,439,647,812,570,348,498,969,
104,891,715,318,095,552,102,522,821,215,224,395,571,622,046,860,699,157,448,
354,679,637,588,288,458,296,298,464,194,398,802,376,484,677,977,689,048,327,
629,620,227,864,080,662,874,506,202,578,867,559,400,784,544,707,386,519,683,
035,644,854,437,533,112,286,510,575,215,058,623,926,652,115,724,359,159,765,
645,093,170,963,412,986,534,612,102,102,374,127,469,544,449,847,403,429,605,
732,904,496,327,910,218,338,558,067,806,689,914,036,735,170,167,451,435,458,
355,995,978,742,765,366,342,575,540,115,850,384,631,964,333,190,103,674,571,
620,385,056,334,840,152,964,109,993,932,016,852,960,182,167,753,597,067,116,
013,418,277,614,659,153,912,647,247,314,340,547,796,515,763,530,673,862,007,
596,005,298,085,445,269,277,635,004,036,570,051,906,909,573,124,760,638,725,
690,676,764,471,184,304,547,759,436,489,288,465,548,340,842,463,839,340,438,
089,241,346,754,011,515,779,451,084,786,230,984,404,641,246,432,323,433,827,
883,946,088,634,955,634,341,644,524,381,109,829,808,621,966,797,494,667,717,
805,584,339,996,886,964,931,504,483,542,169,359,002,063,664,036,492,696,300,
366,059,924,506,004,641,652,310,065,879,702,416,192,223,764,476,086,333,711,
845,081,889,385,343,661,936,273,603,092,201,373,625,745,032,433,714,269,324,
568,210,401,285,497,980,108,233,255,023,924,105,264,533,208,694,284,309,615,
450,509,389,771,412,695,164,886,452,744,334,374,913,532,748,318,308,165,268,
167,344,818,178,566,371,512,714,375,423,843,740,447,966,021,126,253,375,447,
204,117,059,174,333,472,842,821,818,066,339,739,709,045,747,899,652,111,331,
888,819,896,177,953,896,700,107,400,378,012,356,644,813,162,858,906,001,526,
799,302,398,018,866,210,269,317,712,277,723,419,080,752,824,503,306,820,903,
838,763,131,904,547,714,674,654,582,996,520,315,465,845,688,863,230,711,094,
393,640,675,604,108,401,833,420,622,227,389,983,010,967,048,536,382,374,756,
563,663,259,097,065,173,697,145,289,539,206,040,562,146,104,439,710,571,650,
103,025,123,277,337,760,780,806,677,262,249,895,559,450,292,743,240,781,751,
532,167,216,498,212,929,810,160,527,734,722,090,914,336,253,009,048,250,684,
015,938,607,138,543,282,855,952,583,975,940,420,071,175,948,338,232,722,181,
147,462,804,677,052,895,985,298,762,157,106,624,681,770,967,777,783,478,693,
450,594,321,598,875,726,403,271,965,010,585,147,523,288,900,009,354,391,355,
439,263,413,815,322,790,856,157,197,150,307,400,606,907,317,804,370,726,416,
243,103,807,776,176,950,436,894,753,380,719,907,378,597,815,700,783,992,293,
259,329,988,066,520,929,463,542,645,600,066,482,062,407,249,240,812,088,693,
663,373,755,439,499,099,138,354,070,895,504,026,882,363,845,239,947,796,842,
034,560,901,513,108,762,271,404,649,770,585,183,249,429,450,809,218,432,210,
448,677,820,702,210,491,190,043,422,295,283,712,608,382,077,999,394,069,407,
030,221,075,215,314,924,616,186,352,866,076,172,086,532,020,337,971,412,391,
964,287,565,012,712,398,831,658,662,171,887,970,767,726,747,269,991,585,553,
990,836,034,469,260,996,200,914,235,686,156,070,342,481,999,642,823,442,193,
442,759,566,222,447,228,755,847,088,811,431,170,198,564,534,863,998,638,988,
639,919,194,579,652,592,450,074,988,705,944,802,986,247,244,196,024,504,378,
068,307,019,581,793,710,467,633,995,989,656,199,061,071,920,807,103,418,105,
516,405,234,999,405,042,665,341,363,729,921,122,719,018,507,768,816,787,781,
114,726,299,498,123,608,925,328,153,786,871,789,526,643,023,767,809,589,873,
763,060,107,243,873,498,900,285,606,495,156,726,905,284,866,013,456,719,450,
196,014,255,275,517,197,096,574,383,127,339,394,319,350,867,167,297,788,423,
323,102,228,048,933,680,202,115,564,048,427,461,258,469,872,319,092,467,026,
568,480,221,617,610,354,526,333,394,252,049,394,142,939,048,143,097,459,192,
033,300,144,323,591,283,736,123,673,421,884,112,774,065,526,406,945,980,220,
805,191,738,534,244,056,624,730,183,439,153,654,640,238,674,601,631,536,280,
108,075,728,360,917,698,346,972,483,792,504,345,530,273,770,771,599,049,951,
148,490,012,469,407,476,450,551,943,895,148,963,184,300,104,272,513,802,414,
493,950,604,535,072,176,796,110,281,251,233,481,178,030,383,067,556,488,048,
923,521,486,808,929,988,478,154,421,595,431,537,991,097,651,263,302,717,215,
128,976,780,543,653,484,568,227,788,695,856,921,232,593,368,414,190,970,203,
011,211,391,383,368,295,386,940,460,678,969,555,536,081,185,279,752,168,750,
932,764,413,146,889,429,933,308,048,578,500,676,803,167,795,819,819,162,009,
074,028,615,409,494,113,129,823,304,789,463,150,561,272,187,538,410,044,479,
625,236,903,434,677,203,793,271,803,655,004,600,863,926,365,763,534,883,112,
698,500,608,323,339,491,978,838,597,581,185,747,408,987,094,487,570,850,771,
274,166,399,116,355,488,159,754,051,488,951,954,697,074,462,004,590,800,453,
093,549,594,806,100,366,249,984,220,130,689,244,217,665,683,763,262,486,854,
987,338,906,884,890,438,264,806,308,424,170,722,132,246,119,929,150,348,701,
665,756,752,533,107,443,717,493,327,209,081,241,151,531,557,689,449,302,542,
581,739,861,713,687,314,259,168,770,690,944,341,054,978,840,623,561,601,127,
630,991,493,965,016,201,370,502,394,280,615,867,057,083,572,461,093,446,161,
672,991,328,275,442,224,847,050,635,780,857,027,043,541,355,273,521,120,029,
263,350,231,582,904,739,028,625,507,777,794,279,061,375,206,719,073,421,732,
579,586,207,576,406,902,100,569,231,017,036,800,791,856,622,943,636,752,215,
278,831,780,648,065,998,528,799,901,593,165,257,190,577,719,396,610,131,036,
780,680,924,246,844,567,115,139,239,210,335,432,595,002,621,385,239,358,803,
580,858,549,038,178,203,288,780,121,199,193,826,264,909,599,335,400,379,439,
206,476,641,796,709,611,356,315,411,146,763,679,289,559,722,042,679,509,434,
070,362,402,944,130,234,326,540,451,232,502,403,131,091,919,529,061,461,234,
780,829,411,580,648,775,125,069,635,316,259,699,010,843,560,855,698,936,935,
714,361,936,820,412,148,403,832,826,668,059,959,300,468,670,465,299,535,168,
451,439,393,563,295,470,068,104,028,881,906,639,631,082,062,226,075,573,921,
420,117,997,508,167,011,190,654,393,365,777,603,184,742,622,921,840,179,386,
390,279,972,514,781,730,305,257,261,192,283,045,996,497,729,195,331,042,454,
085,663,317,185,151,249,649,483,134,937,101,787,625,839,090,495,587,457,881,
019,603,938,582,600,951,852,624,339,349,067,124,012,987,808,241,333,307,471,
851,855,372,735,558,589,157,573,361,043,223,626,598,303,469,992,046,618,813,
302,994,192,396,623,049,128,391,943,984,177,398,150,501,588,830,088,383,717,
254,865,696,163,933,117,436,998,819,077,877,228,059,369,738,174,761,838,455,
919,019,178,615,489,401,246,941,523,357,161,259,523,935,948,959,300,590,444,
360,960,337,026,078,431,524,050,887,366,259,392,875,843,942,435,422,168,967,
279,192,980,245,657,121,673,015,058,333,114,134,069,219,676,690,589,514,841,
652,476,251,854,645,824,165,978,839,632,655,543,819,634,101,143,570,968,331,
194,036,630,907,814,667,240,822,280,183,343,929,333,777,611,788,664,168,885,
408,684,088,638,296,827,079,726,982,716,796,047,537,018,767,573,121,335,422,
462,050,629,277,685,469,168,036,676,334,282,500,472,166,455,297,275,094,831,
638,991,420,113,627,818,833,901,025,073,843,304,787,691,116,736,538,886,519,
861,205,961,892,080,273,530,051,991,506,859,003,172,420,282,203,731,908,728,
727,110,746,940,846,537,617,348,664,657,365,985,285,851,206,989,549,843,366,
642,197,358,695,265,245,837,420,741,451,260,764,934,513,630,447,051,031,607,
237,640,676,534,369,959,425,172,662,547,148,831,806,697,564,572,633,874,456,
137,335,317,974,134,397,251,854,341,923,269,687,620,799,880,105,123,614,069,
660,515,924,108,489,342,889,721,862,443,350,823,809,277,969,341,013,199,282,
925,050,708,329,152,970,093,363,991,381,533,215,972,104,459,989,068,574,693,
564,489,369,530,769,800,254,396,442,488,553,325,507,078,566,793,074,931,864,
138,570,314,261,827,270,010,338,780,036,971,534,244,179,762,098,694,624,719,
556,504,359,268,876,457,733,892,413,292,584,361,994,813,471,396,067,101,579,
690,330,520,437,853,557,769,993,582,400,507,645,930,159,204,149,899,550,224,
041,229,074,629,506,083,432,469,652,258,165,598,433,182,901,690,536,529,997,
736,753,996,832,460,885,000,949,725,261,108,576,784,324,289,632,166,981,851,
143,194,312,486,427,938,630,384,434,452,947,019,870,411,631,143,621,334,572,
174,790,586,693,285,399,874,436,507,776,969,788,201,545,149,133,015,102,852,
797,828,666,168,232,800,109,729,276,040,284,834,572,242,682,111,757,112,145,
778,562,522,673,046,402,114,503,939,904,039,643,801,528,748,572,239,557,976,
123,717,668,192,734,300,430,210,508,153,761,265,985,871,996,462,346,009,291,
828,668,020,549,129,023,492,494,447,706,982,982,566,446,335,668,802,692,345,
709,307,451,110,864,198,050,335,399,243,944,565,772,352,592,456,978,489,971,
293,932,994,045,359,453,688,317,864,855,862,864,719,247,883,784,144,163,491,
412,261,252,185,974,340,713,056,344,610,798,735,168,615,775,951,671,245,024,
452,652,073,514,529,971,803,097,077,549,929,820,539,885,588,171,790,999,941,
561,266,047,916,535,281,800,905,839,983,011,472,792,439,591,878,761,782,823,
333,539,801,282,563,320,436,393,345,163,385,127,457,192,039,585,056,742,984,
669,430,185,307,785,762,976,221,027,674,103,082,659,411,854,265,439,401,126,
203,455,703,318,328,872,689,641,727,161,761,993,441,590,022,777,318,952,998,
375,590,828,363,581,626,952,026,441,512,071,158,371,868,863,936,838,595,635,
969,583,292,081,876,820,849,628,332,766,470,827,339,701,490,670,369,420,056,
580,399,619,942,505,776,231,034,591,616,994,206,782,434,766,512,178,215,606,
128,414,555,591,280,304,127,281,800,299,845,794,479,699,213,424,232,157,156,
306,057,042,430,838,271,643,755,238,979,975,104,195,300,612,324,169,888,052,
355,358,256,046,150,412,759,232,906,287,123,143,873,660,312,172,474,825,924,
527,669,443,541,611,059,384,321,838,499,116,468,348,422,270,256,191,434,623,
175,021,934,010,325,308,551,112,144,075,499,185,392,718,760,811,764,500,571,
203,807,651,619,386,031,099,263,015,999,006,476,759,360,115,245,385,346,639,
841,276,020,980,911,803,403,019,223,399,515,755,295,987,945,652,610,536,476,
972,950,823,402,322,115,844,907,242,729,031,984,216,940,236,592,570,510,577,
571,479,746,200,542,764,030,716,011,158,962,359,106,915,561,700,611,599,147,
898,100,073,264,203,673,086,491,942,503,171,852,903,320,664,833,897,674,034,
335,346,349,791,231,266,095,079,003,075,388,206,415,879,684,654,198,168,818,
106,077,380,055,347,280,079,131,988,310,432,956,886,481,466,293,427,886,081,
949,774,971,814,483,971,234,796,555,327,600,595,365,248,846,033,565,100,486,
345,305,770,918,329,412,743,665,490,313,778,330,234,256,946,285,434,869,578,
370,232,448,076,414,325,502,082,924,874,196,425,801,654,828,670,438,562,099,
583,566,510,542,471,618,961,191,646,856,327,759,827,067,217,748,675,313,972,
890,942,794,786,238,314,313,356,002,456,946,145,300,823,893,932,849,411,227,
457,984,454,027,059,222,775,653,709,442,408,416,954,723,745,775,155,167,335,
288,827,532,171,251,373,708,894,171,864,328,832,167,658,245,864,560,074,011,
651,235,772,720,048,313,768,160,116,433,762,709,963,452,149,621,015,339,320,
603,180,257,975,272,187,835,773,045,088,403,257,087,433,994,327,794,385,129,
103,770,693,923,845,729,874,285,990,766,181,874,336,482,128,630,425,580,442,
625,787,888,908,887,220,235,873,603,276,240,624,056,026,153,667,380,016,628,
642,189,918,759,583,659,717,263,971,026,785,230,814,266,849,706,225,236,887,
121,896,257,715,350,646,644,484,996,192,327,452,953,584,504,938,536,461,292,
869,712,131,149,990,769,506,258,652,236,197,473,407,967,777,577,652,307,974,
419,706,216,491,309,979,290,234,192,550,160,088,982,963,293,849,443,296,604,
121,970,683,306,284,418,928,740,116,586,061,332,862,734,070,183,685,540,510,
217,598,552,002,905,367,385,843,660,069,619,351,428,103,287,546,968,696,338,
215,720,501,181,822,420,688,785,721,850,892,021,107,784,263,542,613,347,811,
857,958,488,087,504,727,265,897,696,682,311,946,471,674,898,952,420,358,660,
192,407,043,089,137,066,966,304,851,575,531,329,457,348,624,963,575,395,215,
696,837,907,836,432,578,644,538,852,989,622,972,587,519,218,217,615,219,992,
984,206,582,575,065,507,541,131,606,440,124,716,480,126,510,419,076,647,225,
300,851,895,802,914,113,530,928,141,710,448,670,197,194,636,770,700,222,976,
478,319,961,068,840,136,110,587,750,380,618,184,658,035,154,709,623,144,373,
486,845,714,261,436,529,189,916,708,684,703,194,301,184,491,070,514,935,005,
867,848,347,989,825,612,065,835,731,527,342,677,171,124,158,043,254,797,709,
125,236,265,136,020,107,440,636,766,025,210,442,481,255,021,557,648,495,241,
878,070,658,921,756,400,498,702,354,525,908,035,500,426,272,299,754,236,095,
174,686,142,283,616,820,463,277,797,433,242,240,293,293,074,233,743,939,655,
566,591,310,984,801,448,860,198,811,826,997,009,765,139,890,222,543,295,717,
996,545,642,344,000,112,639,699,860,042,968,910,632,695,314,107,401,549,477,
413,918,635,254,792,549,044,548,706,888,988,429,711,360,020,560,588,863,045,
817,827,960,881,620,432,137,756,491,568,954,467,517,064,104,013,532,756,740,
213,781,606,515,744,913,278,675,741,596,435,612,895,421,521,883,045,532,201,
671,309,029,560,520,149,392,441,403,675,334,988,705,893,448,394,618,424,148,
959,777,084,383,681,841,431,305,144,103,410,712,954,934,245,759,889,776,216,
350,743,969,869,614,380,349,431,029,969,669,696,881,905,178,755,698,515,474,
200,495,082,736,712,491,362,430,795,309,860,549,243,627,150,028,071,082,080,
329,422,722,909,964,647,627,542,288,560,701,045,467,047,789,805,716,173,745,
585,074,313,271,245,509,289,748,971,104,379,459,150,264,788,981,957,043,688,
376,414,120,466,276,043,322,734,851,756,840,566,867,650,821,303,705,244,411,
383,927,505,824,452,754,814,663,542,525,828,108,922,949,865,937,285,133,954,
092,562,043,097,760,277,130,302,603,783,104,304,120,073,600,775,836,043,128,
201,684,652,000,701,721,368,441,175,855,384,943,832,718,157,603,060,839,673,
103,004,754,654,519,988,284,085,674,134,814,058,812,158,828,797,809,197,108,
476,446,772,512,230,911,385,691,003,027,601,298,797,229,722,783,890,970,271,
926,865,609,443,124,102,449,725,191,700,300,962,754,611,832,423,982,659,203,
606,243,405,075,846,471,721,250,662,775,458,184,539,258,344,030,947,184,875,
080,021,824,412,861,644,164,605,261,412,504,660,701,927,999,219,441,802,572,
427,138,095,179,001,306,660,548,480,216,670,610,901,313,905,194,082,650,369,
255,913,998,094,954,527,814,461,670,749,308,067,453,335,787,682,558,923,451,
603,303,826,914,706,652,298,114,989,015,193,913,392,764,141,071,189,149,766,
347,061,022,901,728,040,436,308,797,209,270,603,476,000,807,671,631,197,234,
973,603,014,784,998,725,603,045,827,769,239,751,098,891,064,206,544,086,854,
167,419,568,088,434,086,823,500,149,699,328,283,127,891,419,652,342,004,847,
432,879,498,111,128,629,854,153,827,931,926,273,621,128,412,635,685,359,010,
215,830,064,116,555,671,616,655,056,944,686,604,105,039,791,054,057,997,985,
360,917,491,468,009,779,128,909,445,053,141,773,994,142,090,787,344,903,162,
485,584,221,884,210,368,176,443,001,187,249,667,022,253,717,294,145,261,561,
899,738,095,391,674,011,022,868,964,780,018,067,975,705,871,900,209,096,775,
646,895,325,729,451,228,334,550,076,028,884,752,714,722,479,716,833,728,260,
842,997,570,156,872,949,067,476,236,132,367,693,440,076,947,671,520,154,916,
804,609,106,019,990,590,828,247,858,921,818,010,061,573,562,736,372,671,794,
934,026,545,406,472,326,666,590,488,358,857,866,011,709,574,064,308,519,586,
796,024,463,712,429,500,884,846,357,799,695,677,183,294,941,754,779,973,559,
109,343,048,647,901,824,025,388,818,919,939,438,365,369,811,040,852,682,440,
072,167,924,674,536,991,067,182,338,484,812,159,931,956,628,420,248,606,874,
855,597,656,897,840,770,520,839,804,129,180,386,216,341,624,173,189,705,495,
543,263,419,099,470,620,034,437,239,354,467,890,097,018,378,059,479,026,434,
966,618,986,450,501,124,324,944,328,720,509,060,280,214,404,001,750,361,782,
218,587,705,123,323,832,815,847,283,312,485,450,384,682,436,576,186,717,424,
822,244,170,174,818,170,825,298,865,194,406,264,509,173,025,608,208,445,190,
746,874,819,497,869,423,235,192,738,312,263,629,502,741,068,554,484,243,728,
198,072,496,846,938,012,273,669,184,491,969,008,520,828,649,331,015,785,678,
019,737,229,678,231,532,340,561,267,117,922,834,914,563,347,454,322,473,828,
336,739,546,807,809,707,425,419,596,581,838,304,901,556,052,240,415,113,770,
543,333,337,359,776,543,474,544,866,590,559,873,329,380,131,420,759,384,501,
400,432,007,846,958,385,936,056,098,126,647,248,324,239,712,329,010,950,016,
051,319,729,764,459,479,661,288,454,032,592,604,205,311,759,480,645,111,168,
916,269,824,285,818,628,679,870,057,993,880,099,508,340,262,784,280,295,481,
123,125,627,140,301,482,348,929,695,856,082,956,528,201,034,019,814,900,120,
289,156,778,038,914,676,150,851,638,392,121,102,928,949,684,596,473,453,869,
393,354,825,005,647,599,225,816,062,972,264,367,522,841,015,019,318,211,829,
542,993,542,061,514,602,747,221,275,969,158,081,425,240,598,370,251,598,774,
375,338,054,534,200,861,156,876,035,359,382,800,552,360,036,704,601,568,219,
725,048,126,058,108,776,630,164,166,019,973,900,211,814,219,525,163,777,105,
115,661,784,767,521,588,414,097,801,457,354,150,790,366,224,844,632,901,607,
795,478,489,767,144,105,032,080,820,771,344,309,329,804,446,841,003,318,606,
137,106,554,119,446,921,463,685,504,004,437,183,669,359,839,699,609,245,594,
064,103,415,672,478,321,759,115,646,727,768,418,341,122,054,605,377,373,504,
338,481,027,286,909,670,814,668,797,411,657,966,370,573,481,274,798,064,622,
432,449,808,416,728,360,929,834,447,882,450,411,690,741,489,293,594,306,468,
294,457,693,489,667,726,891,852,714,020,239,367,399,816,316,186,522,326,492,
088,232,374,326,500,656,768,415,417,620,834,207,418,199,184,793,855,753,957,
303,530,334,726,698,304,677,861,283,537,528,266,821,633,786,213,445,433,984,
276,182,755,407,695,969,751,652,059,035,589,897,681,541,774,939,264,787,567,
421,198,071,483,430,231,196,555,566,834,642,257,002,735,452,736,647,016,363,
982,592,792,648,021,749,692,239,464,268,427,525,059,140,389,658,596,965,005,
849,679,806,951,924,780,763,619,441,775,057,927,816,269,343,289,258,847,945,
232,250,509,919,716,612,561,321,220,750,229,667,527,270,377,971,795,503,520,
541,793,325,099,124,600,973,986,429,444,423,664,480,510,260,997,413,512,095,
411,408,722,729,684,206,396,781,659,203,813,534,841,961,080,472,662,575,210,
115,177,592,917,981,095,453,377,069,458,484,489,746,190,430,456,344,657,542,
779,478,276,542,625,567,133,811,411,895,063,498,763,777,985,056,970,520,680,
421,280,223,528,536,849,035,502,522,849,667,652,348,903,540,457,108,359,166,
577,525,845,696,128,009,194,396,438,339,931,369,549,222,220,243,595,414,595,
963,206,048,648,443,153,490,954,130,282,507,205,098,394,343,160,867,793,498,
798,674,312,547,330,105,950,643,345,435,192,309,062,547,224,150,968,150,113,
190,646,058,349,418,694,635,009,418,818,935,930,842,015,315,049,388,108,373,
209,566,840,074,146,186,223,079,240,947,843,767,235,427,742,328,517,707,851,
523,935,931,978,872,564,406,962,004,104,874,026,527,310,757,246,734,449,909,
664,801,152,987,150,516,372,359,931,064,678,805,752,233,208,103,474,206,613,
755,265,406,724,047,231,289,404,978,662,967,912,111,805,364,139,468,036,210,
224,432,075,666,939,408,953,736,244,905,178,479,367,725,239,816,847,482,537,
349,566,670,224,620,765,190,530,581,498,634,821,133,993,487,451,614,499,507,
886,638,116,316,616,591,800,091,527,142,090,214,179,570,413,692,788,922,739,
074,639,775,161,844,733,914,874,108,755,227,907,058,945,454,446,606,265,844,
515,423,878,490,957,654,901,119,851,097,324,103,685,851,911,751,826,920,197,
755,684,141,179,779,272,670,719,929,931,382,431,183,121,070,146,197,411,247,
918,350,720,105,866,995,480,160,288,902,946,032,238,574,634,938,741,620,071,
363,347,407,430,081,933,097,265,590,552,859,139,369,706,524,692,825,797,448,
459,852,133,456,688,945,048,210,886,344,972,042,251,390,546,055,442,223,930,
951,210,904,468,569,363,214,679,131,562,171,492,764,707,061,231,077,674,834,
879,534,437,866,886,665,760,533,720,219,791,926,539,515,987,858,076,786,127,
239,004,820,264,872,824,615,563,678,356,218,598,841,906,024,562,391,587,228,
019,893,523,955,913,566,353,923,426,203,593,517,643,529,583,218,094,109,581,
151,437,501,388,684,286,474,554,726,329,593,765,791,274,625,547,015,935,291,
949,131,826,911,782,937,530,308,823,819,205,965,705,208,794,464,135,089,352,
168,682,963,296,634,074,934,947,733,375,376,172,824,299,484,220,600,757,716,
182,545,522,837,854,619,063,023,606,197,066,188,398,530,091,859,075,688,896,
368,802,501,589,120,086,775,678,934,056,197,709,951,279,421,682,633,172,519,
465,616,365,340,809,106,243,494,508,143,703,777,871,359,201,486,566,914,200,
068,628,830,674,640,911,010,410,458,789,407,774,296,563,550,769,210,560,909,
197,896,281,227,933,472,550,389,134,799,491,417,088,331,654,367,260,179,888,
961,330,899,729,636,590,851,829,244,356,961,070,245,517,735,701,811,498,760,
703,497,800,036,952,159,103,461,797,487,473,582,202,014,835,065,944,680,593,
144,806,848,073,403,801,834,476,253,676,229,734,225,241,873,922,415,820,158,
956,405,106,630,500,460,035,189,667,725,040,339,788,588,481,371,742,575,182,
083,273,493,659,219,900,533,443,472,982,539,064,887,882,637,435,722,074,357,
168,809,941,008,028,068,282,159,163,967,691,706,449,286,446,648,641,145,498,
093,667,183,449,868,128,865,447,706,217,479,786,851,401,368,877,620,633,789,
564,714,918,843,652,590,760,216,531,487,515,529,396,164,828,088,845,446,665,
169,133,059,428,516,229,246,676,654,321,186,084,663,160,952,843,801,016,889,
493,450,869,122,016,874,217,075,779,560,597,908,539,085,031,821,786,267,822,
320,782,155,702,518,447,617,517,165,938,360,205,123,837,366,935,175,400,893,
180,321,132,016,083,055,372,359,051,856,712,698,307,434,478,658,994,111,419,
935,394,116,650,046,471,670,428,620,800,834,553,339,378,668,635,013,567,445,
071,638,090,799,698,838,135,367,305,230,883,395,567,524,004,072,164,645,620,
759,320,562,892,460,632,712,315,541,030,721,555,490,018,548,548,134,965,181,
893,217,108,415,038,093,804,090,936,754,161,353,044,151,547,320,444,357,369,
413,204,369,204,658,392,459,868,807,749,607,308,093,607,910,634,880,337,489,
629,640,394,067,014,702,333,643,044,240,838,874,659,652,915,266,438,745,168,
710,353,189,817,053,804,719,582,073,791,329,610,205,679,381,062,370,995,496,
673,513,149,353,340,384,039,898,960,197,650,306,208,394,256,383,146,995,095,
206,141,495,821,394,815,667,930,746,168,451,939,631,938,562,892,220,252,465,
055,964,873,074,524,489,420,958,326,095,804,569,221,113,891,006,543,943,850,
760,676,949,017,256,217,017,567,860,744,488,221,147,832,031,300,704,802,653,
204,770,455,525,191,744,855,986,671,074,993,328,485,256,407,293,299,422,042,
390,474,143,605,002,816,486,554,677,275,185,265,223,633,497,983,150,364,143,
924,755,750,903,463,651,695,624,687,528,089,048,118,288,914,638,321,955,675,
498,523,484,243,230,467,214,925,463,893,775,273,581,505,642,644,942,815,333,
329,569,660,179,671,830,131,918,638,234,767,505,760,379,622,467,726,504,180,
465,113,242,862,977,529,034,580,449,376,346,977,000,895,771,329,830,533,694,
109,390,103,944,234,505,230,760,561,270,633,366,793,712,500,629,861,082,149,
450,391,117,371,187,352,315,941,351,329,940,259,071,873,427,823,193,753,699,
338,199,438,201,448,286,820,973,083,973,223,331,858,217,244,821,319,912,231,
529,537,595,423,559,487,099,659,196,390,078,743,063,187,321,617,301,673,266,
401,578,380,702,455,219,068,048,487,750,771,471,578,015,284,177,874,399,741,
201,007,919,317,480,934,431,603,504,093,816,961,174,739,657,052,296,159,571,
755,095,822,390,570,532,407,790,296,434,519,172,038,865,842,663,234,014,885,
743,602,706,669,915,270,712,360,621,406,410,214,372,214,289,142,925,379,412,
203,208,974,650,264,871,026,090,082,689,160,269,875,062,736,389,868,300,587,
332,383,290,171,467,322,171,653,840,030,102,058,750,511,088,134,415,956,091,
457,898,014,448,127,421,560,272,180,097,357,738,570,051,482,768,043,006,486,
301,299,425,553,086,004,898,490,848,778,173,425,887,132,041,215,125,950,477,
534,619,433,876,229,277,597,574,595,648,439,059,031,664,461,328,926,870,225,
437,812,330,700,078,757,515,653,275,717,080,170,135,302,758,892,829,713,279,
061,617,092,819,847,122,617,511,178,282,209,353,917,643,502,942,058,115,615,
091,504,181,552,038,152,472,083,516,645,449,265,443,339,530,496,621,859,967,
776,290,581,722,272,562,758,652,360,257,569,661,193,021,838,660,668,128,062,
875,728,911,396,216,622,608,988,542,135,012,277,535,835,139,196,525,204,076,
558,533,439,688,140,210,096,527,980,401,084,689,224,305,114,394,853,566,985,
223,912,536,403,389,152,003,490,404,089,301,621,484,167,826,223,943,710,547,
078,020,000,495,414,460,346,640,113,419,497,013,179,780,579,377,490,390,902,
762,042,231,768,407,134,585,365,308,568,699,715,557,343,993,841,626,231,019,
857,012,656,306,753,939,726,499,586,213,100,543,740,362,028,689,570,975,864,
933,960,943,656,772,114,893,068,249,641,601,771,797,813,605,390,388,508,794,
002,166,014,085,016,906,184,525,141,383,576,210,213,150,137,802,435,819,542,
417,501,556,001,922,456,426,182,761,324,416,783,866,136,115,457,949,855,301,
748,545,218,239,264,072,887,444,228,366,258,179,272,865,611,013,414,861,907,
809,343,311,773,953,255,182,168,798,497,676,209,099,993,547,132,274,969,436,
182,566,800,401,614,410,942,573,827,455,645,271,711,769,502,373,648,553,068,
406,439,567,292,861,002,756,830,185,680,843,489,042,804,375,484,239,967,239,
080,989,856,906,043,021,520,231,216,656,490,724,138,559,500,463,168,144,627,
498,132,367,612,967,545,772,935,836,530,351,766,876,433,765,310,677,460,301,
309,516,400,092,077,390,537,395,954,557,837,358,908,201,073,717,235,408,902,
089,864,645,085,559,475,650,829,225,930,093,995,541,499,896,851,967,695,552,
920,609,906,610,735,085,043,050,019,417,335,012,459,953,477,076,946,357,272,
133,693,685,382,248,389,481,701,895,892,841,979,447,068,671,370,901,906,308,
081,103,860,327,109,447,192,360,715,607,749,114,060,254,130,408,466,151,307,
788,041,076,649,573,754,940,752,573,109,352,333,684,589,637,673,187,487,329,
302,003,236,003,276,336,926,127,078,504,728,507,794,400,489,386,953,868,218,
681,438,103,425,973,331,692,979,905,327,218,045,046,684,132,348,862,252,587,
758,316,484,171,483,602,400,787,848,202,171,825,564,805,561,761,224,820,404,
539,855,007,404,454,067,383,026,383,771,818,171,518,619,367,457,142,966,147,
759,401,647,949,181,441,020,515,903,545,892,405,280,908,160,554,129,074,589,
619,018,352,944,839,708,580,717,322,494,906,688,965,682,466,766,340,619,715,
441,563,233,299,185,505,898,722,546,371,554,108,322,620,440,602,760,116,393,
701,749,384,043,576,219,766,403,394,200,088,861,013,027,633,036,800,396,251,
844,615,613,281,630,974,912,810,677,825,960,595,080,284,059,992,443,076,513,
029,080,182,339,796,242,513,926,170,366,732,393,199,952,951,116,243,176,497,
169,423,490,236,652,824,591,503,865,426,581,901,182,320,059,423,469,885,501,
271,128,430,138,690,372,115,302,802,477,052,800,243,340,605,347,121,925,972,
885,114,948,976,266,422,477,152,267,897,800,102,249,211,248,000,328,968,345,
697,681,893,637,668,869,513,882,146,814,412,811,991,234,192,144,533,953,926,
565,860,635,925,864,819,266,738,369,559,505,450,492,434,194,862,447,953,373,
501,477,263,238,113,457,426,060,579,100,029,053,490,513,361,652,189,291,766,
594,369,430,562,818,590,710,511,858,535,298,129,279,890,414,690,503,647,432,
034,288,933,189,115,533,766,915,099,709,540,104,259,988,162,302,091,442,232,
828,908,636,179,723,813,963,983,836,366,672,974,328,537,579,370,059,453,269,
516,473,685,205,244,582,427,627,934,433,945,437,450,083,130,706,112,420,912,
734,897,669,474,808,569,210,857,214,663,564,446,410,081,091,371,811,966,580,
361,989,547,129,812,491,785,728,425,916,213,463,321,896,921,616,165,274,874,
252,316,604,110,460,159,659,719,040,016,833,980,674,056,347,916,944,734,567,
314,822,979,579,499,783,688,711,389,341,912,650,029,302,008,159,391,148,488,
477,637,323,623,436,615,136,381,203,396,468,534,342,237,649,592,587,403,228,
376,973,732,420,716,039,969,984,535,935,851,590,640,914,909,984,148,686,022,
789,473,242,300,692,444,911,041,368,355,056,761,279,263,101,623,754,086,665,
225,832,520,693,545,120,107,069,067,210,032,004,826,347,835,746,188,436,969,
460,084,300,528,035,460,506,383,382,348,908,789,250,750,437,975,904,676,159,
413,726,087,440,174,103,794,514,192,400,752,713,008,932,944,381,940,910,908,
395,403,184,988,052,751,660,701,815,191,923,911,793,828,231,182,354,597,144,
447,779,699,533,623,829,329,395,203,093,746,302,337,768,466,921,540,780,495,
092,348,334,641,810,142,356,196,516,233,590,581,893,646,372,005,799,287,316,
958,549,181,796,613,596,541,678,617,414,335,225,607,650,748,930,716,379,663,
112,823,956,105,348,891,169,619,835,574,942,872,467,056,347,591,065,698,129,
134,538,913,952,774,747,992,455,139,079,960,085,042,042,406,052,617,031,303,
937,306,532,245,063,738,610,727,922,121,760,117,723,496,579,712,963,690,494,
605,049,406,466,766,048,977,333,519,308,604,133,275,054,778,986,877,905,334,
482,511,597,406,970,954,800,200,220,593,162,111,468,104,413,326,388,272,191,
584,335,347,978,861,619,594,236,175,630,509,547,062,864,631,601,016,661,709,
535,117,996,434,353,072,493,313,595,107,981,531,865,120,810,106,936,462,875,
397,666,100,796,203,848,241,887,489,591,421,877,687,282,577,281,947,028,511,
380,489,751,989,579,115,509,313,461,474,914,583,844,126,146,766,378,493,899,
480,564,834,706,556,319,185,170,968,780,440,660,778,554,049,007,525,590,731,
992,082,939,308,821,239,209,816,371,152,688,099,515,951,239,588,411,752,975,
082,074,515,373,248,643,937,673,019,321,885,408,638,129,257,635,113,042,547,
918,129,163,129,724,975,214,821,109,962,304,774,776,653,408,963,677,945,474,
159,114,731,990,064,478,950,130,442,482,629,007,446,645,358,804,383,651,295,
989,709,701,866,575,105,371,249,009,572,970,206,094,134,743,957,550,760,225,
442,965,973,093,540,028,409,883,178,588,059,973,114,846,274,876,440,586,269,
815,806,392,529,141,537,704,499,704,351,361,679,328,502,591,557,932,860,643,
464,474,561,687,915,981,116,911,026,537,031,020,707,844,584,121,533,394,771,
515,126,964,397,616,085,111,974,985,795,818,986,303,991,704,705,227,952,290,
418,399,018,197,689,987,804,160,309,606,083,573,048,859,459,456,969,660,421,
759,915,537,714,792,760,820,504,435,947,769,779,610,736,575,294,195,416,170,
163,225,345,175,191,909,157,036,349,327,569,081,180,025,893,914,471,637,390,
990,524,507,810,265,158,597,864,170,276,261,993,672,374,906,280,810,535,770,
515,623,042,384,225,792,469,150,550,325,830,158,725,531,528,753,850,084,470,
746,512,304,280,187,520,968,415,254,121,586,415,343,002,555,534,958,898,150,
109,695,483,822,158,288,936,963,861,598,826,521,422,783,492,288,946,809,575,
778,976,570,934,831,993,146,268,860,216,786,507,860,964,955,924,690,334,811,
839,992,344,196,856,987,696,946,112,386,601,214,960,205,710,654,530,871,381,
923,193,955,967,238,763,795,846,547,410,849,832,046,901,745,308,947,308,517,
491,062,986,244,872,823,778,520,180,262,115,105,180,454,910,668,701,921,677,
258,322,371,297,970,726,593,626,789,396,193,689,374,089,620,875,050,047,795,
764,764,893,239,626,607,592,279,071,029,891,548,994,775,118,750,773,859,118,
398,183,203,598,898,708,487,122,689,176,256,781,432,058,166,212,107,152,739,
523,563,177,067,697,922,189,638,637,779,892,480,713,683,398,438,599,332,572,
083,559,482,207,226,198,331,600,544,182,161,636,128,516,024,362,695,599,333,
554,427,867,012,025,188,394,485,864,675,763,440,277,487,724,721,567,199,803,
100,071,797,217,840,584,887,626,763,940,369,632,104,391,598,023,274,578,846,
545,322,467,312,168,184,363,480,581,920,697,643,089,894,489,064,871,837,125,
106,958,812,966,044,540,412,650,336,021,121,433,928,286,114,043,720,558,902,
586,566,070,359,530,632,835,364,641,453,869,243,595,121,217,869,234,185,212,
358,018,837,157,736,655,963,478,728,323,443,671,817,019,309,537,016,866,581,
312,462,488,287,269,356,809,510,685,179,020,583,145,506,347,814,699,646,548,
943,030,452,091,422,140,882,626,420,864,328,342,423,788,636,967,168,051,069,
806,633,260,923,669,189,803,754,542,855,749,619,559,121,117,185,452,162,914,
590,270,322,349,696,505,635,060,924,445,575,468,863,443,659,210,166,808,289,
757,558,585,423,475,579,419,447,664,408,102,706,376,654,467,189,598,689,511,
666,028,529,121,805,952,603,498,477,384,436,707,096,955,236,608,063,181,693,
182,555,164,788,238,490,568,098,113,778,432,175,787,576,524,136,856,770,732,
512,725,509,016,540,483,236,401,341,384,585,455,904,173,374,325,923,772,135,
095,831,365,457,632,703,424,746,722,781,198,646,814,417,885,358,671,063,992,
583,203,660,403,352,925,771,477,493,447,313,208,629,256,756,061,494,355,657,
918,919,233,981,950,642,522,965,480,636,435,150,620,041,529,988,179,498,329,
002,376,838,610,037,393,420,293,153,395,407,409,596,502,329,267,664,257,201,
299,462,178,240,997,975,147,638,458,807,892,365,433,091,575,228,293,135,863,
699,275,960,386,597,576,996,762,101,741,100,959,526,561,454,183,521,132,768,
090,944,587,739,841,173,228,133,483,148,476,311,114,212,239,803,645,662,661,
514,236,271,991,350,787,953,252,192,677,862,655,226,789,743,972,862,665,289,
909,729,724,667,886,884,829,831,667,719,265,269,352,756,351,913,474,250,937,
884,610,485,896,057,205,794,946,881,401,937,215,570,920,990,259,327,590,695,
576,433,581,321,689,876,551,177,299,712,752,481,781,315,741,725,200,732,088,
500,033,379,200,719,386,402,175,777,163,114,883,673,905,248,587,104,069,857,
505,622,583,978,638,865,810,065,265,300,871,241,381,824,205,250,790,992,268,
010,475,494,105,692,056,716,617,390,495,358,389,938,165,272,349,055,437,527,
290,901,607,573,863,611,899,384,597,228,107,291,701,643,815,374,585,766,776,
831,298,089,011,826,860,695,113,570,420,970,308,659,007,742,489,442,609,231,
281,128,815,541,808,833,379,046,255,478,967,859,644,205,898,144,870,995,516,
747,729,654,291,435,492,746,752,733,635,229,347,614,037,146,520,543,902,600,
584,503,224,584,607,028,042,763,492,201,907,889,693,148,572,498,531,204,687,
028,344,484,868,316,790,056,609,728,617,191,351,640,270,662,164,720,245,041,
347,405,980,082,077,371,130,676,373,521,666,440,530,169,027,466,651,597,046,
549,991,385,503,689,573,013,473,773,924,342,175,964,730,358,523,477,969,161,
283,282,881,672,005,402,982,234,423,395,818,507,426,417,973,561,380,989,648,
007,665,033,661,465,681,026,631,359,357,263,613,129,390,755,162,538,991,270,
313,295,291,512,761,229,543,221,068,317,333,662,322,280,143,918,907,091,714,
008,467,030,332,084,874,446,947,253,643,823,381,894,820,677,711,948,420,108,
751,784,689,565,197,531,932,589,966,225,968,985,499,190,881,109,829,254,436,
786,355,424,508,340,577,638,823,447,842,328,256,878,950,256,226,590,271,952,
473,629,488,889,744,475,678,508,490,053,334,603,154,068,668,821,929,301,563,
659,336,988,549,591,865,689,105,151,149,878,109,831,457,708,683,071,761,015,
378,246,677,164,452,886,350,698,513,710,958,722,161,759,535,188,514,602,029,
867,051,662,885,343,428,359,409,599,523,888,225,434,585,621,126,394,859,826,
746,405,652,292,656,210,702,872,595,372,351,706,499,045,147,038,357,371,254,
137,196,249,345,197,941,237,207,061,468,576,388,343,572,213,324,725,184,330,
797,863,277,537,253,679,323,787,046,376,545,838,244,120,022,969,979,498,263,
030,661,731,393,372,404,166,350,294,638,652,237,797,622,133,428,887,629,984,
103,410,278,544,425,881,427,320,572,720,351,423,176,668,800,040,823,132,849,
466,046,194,364,130,374,596,524,068,099,583,469,687,695,477,101,475,422,242,
726,247,382,367,255,685,200,822,564,085,173,272,358,236,905,184,396,419,628,
049,420,325,279,104,276,567,592,184,601,213,880,347,966,970,859,883,394,875,
783,144,154,745,802,762,959,608,991,465,710,948,758,432,812,481,398,729,176,
310,746,939,440,763,646,863,097,940,295,638,958,422,802,291,065,454,683,754,
523,116,163,799,546,325,359,574,961,823,366,030,672,889,576,070,765,840,168,
827,813,196,756,556,861,286,767,229,249,388,076,714,116,203,279,205,574,039,
719,384,701,004,447,105,494,852,263,117,275,228,425,972,273,848,472,075,248,
702,971,268,514,476,086,610,514,875,111,971,148,316,664,846,229,742,971,365,
411,092,782,045,185,227,891,400,879,956,935,442,998,011,368,492,783,202,860,
574,428,008,604,081,857,280,934,907,051,521,140,029,883,590,356,806,868,348,
580,532,623,434,263,702,389,779,766,331,583,840,622,220,945,597,520,884,137,
869,801,115,094,919,227,329,357,516,693,403,570,066,531,370,518,794,159,005,
099,086,681,896,724,318,070,116,477,739,897,768,413,734,674,364,844,027,739,
746,481,849,749,072,485,494,158,505,443,520,342,062,171,012,777,052,065,470,
954,278,534,878,669,591,965,469,312,170,332,571,176,697,669,717,561,983,970,
815,295,888,714,631,839,604,264,048,307,544,570,581,354,232,136,642,476,034,
743,354,228,574,560,152,610,402,202,870,572,242,635,642,512,083,695,219,489,
164,754,959,985,475,899,843,358,682,451,730,498,991,928,422,317,037,405,788,
315,403,261,837,850,021,311,601,269,905,623,087,708,684,227,118,628,752,541,
780,092,070,329,869,707,919,071,352,947,078,032,894,189,430,435,902,565,612,
970,868,432,870,693,039,302,596,820,183,835,956,038,189,442,226,706,055,908,
927,809,262,563,846,678,669,359,168,258,961,612,230,036,084,595,598,763,057,
268,369,195,504,901,122,065,655,222,422,616,482,895,615,690,765,827,662,064,
376,873,741,310,152,681,321,143,471,624,029,397,630,626,241,760,448,116,843,
998,339,246,639,700,394,055,366,851,859,823,402,136,985,660,811,904,653,015,
919,586,087,228,186,019,134,485,603,167,271,501,453,847,826,151,222,880,249,
391,167,695,736,200,375,592,125,568,147,367,750,935,091,722,388,051,028,200,
807,100,024,049,091,627,597,790,945,202,362,334,938,063,832,797,133,595,259,
628,729,648,890,676,849,213,347,780,381,901,396,454,703,843,638,609,663,590,
128,830,503,785,563,327,687,118,359,078,048,975,460,979,185,761,871,597,590,
147,623,877,271,316,309,326,297,703,728,293,597,756,370,236,300,848,284,153,
403,520,070,315,476,720,558,162,600,048,654,921,173,624,341,710,026,522,950,
021,963,784,489,375,768,047,691,432,795,899,304,810,760,300,873,573,070,892,
577,709,818,047,996,550,171,954,983,134,810,918,613,537,603,479,254,839,516,
404,412,775,795,248,558,113,712,456,266,887,767,123,595,363,313,870,578,074,
737,087,368,053,924,941,226,808,156,437,378,034,176,683,654,121,529,543,907,
371,619,747,025,653,184,212,420,726,549,615,553,576,687,772,635,763,875,657,
278,848,549,845,603,445,347,498,480,538,575,356,935,525,488,223,862,368,184,
770,065,677,417,230,470,247,210,957,554,210,101,105,702,331,766,305,495,924,
920,797,690,842,910,631,863,394,039,096,584,423,620,172,963,533,162,745,333,
302,338,976,138,460,542,566,428,442,525,560,572,923,003,349,026,282,749,210,
841,409,433,387,138,620,639,488,996,698,595,428,874,271,836,139,212,388,357,
746,915,987,146,758,587,952,050,460,087,908,450,852,258,950,939,353,461,343,
291,553,071,364,079,744,594,199,337,873,278,037,213,226,119,902,921,446,957,
011,353,675,889,326,387,799,718,391,627,086,407,558,778,653,699,187,593,163,
002,532,298,386,590,538,321,915,093,245,617,677,823,981,406,950,541,513,731,
871,545,379,708,006,990,388,138,687,551,255,607,884,715,380,850,219,708,192,
077,979,264,144,728,656,678,789,954,725,714,335,631,798,041,429,558,501,011,
712,383,895,795,906,051,377,745,760,021,979,936,480,563,948,882,877,697,994,
024,220,043,615,729,463,423,276,764,714,959,804,818,164,058,298,342,415,995,
099,627,551,396,794,977,831,793,646,796,040,632,726,655,957,082,099,575,553,
589,206,552,641,638,236,475,222,414,933,316,901,932,249,901,858,924,672,062,
060,628,630,918,342,441,157,496,927,619,425,369,059,499,095,119,155,800,418,
832,043,572,388,266,096,718,013,748,178,514,504,982,696,471,614,188,710,656,
006,826,756,030,206,641,470,904,606,892,640,386,382,194,462,534,577,339,944,
359,994,183,650,636,195,006,410,752,448,465,711,397,016,791,765,452,849,709,
133,674,476,014,543,582,949,507,731,867,688,426,480,599,103,483,158,721,851,
168,633,831,183,539,967,112,676,382,508,233,456,772,843,310,099,395,924,017,
548,959,695,349,532,150,095,049,759,702,798,388,336,110,247,381,655,165,299,
964,381,546,382,028,149,093,889,866,048,798,179,614,106,844,044,118,663,236,
392,694,686,167,710,748,021,508,005,706,773,821,175,599,699,408,892,592,737,
907,882,209,415,721,593,537,288,895,441,619,223,904,154,274,654,497,904,963,
281,845,205,925,876,792,941,134,205,522,576,161,231,235,012,189,811,183,528,
347,738,084,123,557,604,279,180,085,674,428,078,578,620,161,404,504,796,313,
883,253,971,692,293,380,778,882,972,997,878,007,234,596,436,246,474,744,617,
093,355,915,244,423,154,227,433,048,765,692,769,636,413,407,196,105,869,740,
515,346,040,804,912,467,051,227,609,451,103,593,827,118,169,269,498,808,538,
110,707,183,491,508,820,701,728,840,366,280,460,277,278,714,987,391,436,750,
200,095,870,869,852,495,650,688,722,039,984,993,472,741,260,890,604,282,136,
100,411,341,391,389,030,499,448,663,825,209,853,716,018,720,912,414,685,685,
264,838,357,751,884,621,530,541,329,931,143,068,982,814,773,540,111,372,855,
064,229,748,131,792,762,527,413,160,933,016,215,374,220,673,455,394,607,443,
627,669,254,688,619,908,325,281,438,074,587,532,599,236,081,627,152,229,847,
120,368,873,191,986,365,231,491,537,923,887,689,754,830,643,897,343,123,978,
295,142,166,773,860,368,175,171,257,366,369,151,406,689,873,727,099,588,604,
819,988,813,132,929,882,383,523,638,370,396,571,852,078,988,717,565,038,955,
611,807,656,760,761,177,264,161,185,292,797,124,428,400,515,933,288,864,765,
869,895,647,079,131,758,622,982,287,804,486,629,860,829,060,079,372,022,469,
686,741,046,799,846,981,185,606,778,923,719,170,809,513,500,659,197,384,053,
667,203,734,814,486,445,592,144,323,942,694,938,558,788,397,648,083,228,604,
883,915,063,203,946,187,170,928,459,162,642,563,177,808,701,393,309,920,345,
419,627,684,206,827,679,443,417,757,829,304,168,621,012,064,461,167,372,327,
046,302,206,579,764,313,893,812,299,783,746,185,903,393,082,544,809,140,702,
072,719,348,712,433,159,844,171,135,614,950,281,154,217,001,296,050,810,375,
265,628,227,391,638,994,584,417,138,054,977,792,524,824,248,194,469,133,844,
915,594,865,642,760,939,424,298,655,613,512,515,868,950,368,768,079,260,040,
326,910,650,860,052,657,443,900,711,889,785,132,139,109,564,004,201,785,096,
566,115,979,509,346,423,161,179,091,711,881,301,909,918,005,086,099,611,037,
292,791,848,787,917,615,244,311,423,747,503,146,766,390,849,529,926,967,293,
853,148,079,629,483,703,362,557,187,227,960,166,187,551,922,602,922,657,428,
023,698,730,421,116,148,289,052,368,374,444,714,443,659,071,833,420,519,405,
171,360,467,461,220,483,715,878,242,767,198,456,126,556,613,473,456,786,212,
002,601,366,514,726,926,798,633,463,351,808,383,082,008,396,793,210,184,127,
959,845,092,351,042,843,067,561,181,990,099,255,804,621,418,774,899,943,780,
486,953,986,927,821,276,955,537,108,793,033,406,398,140,640,473,458,978,407,
701,332,993,589,232,225,295,906,414,715,154,079,287,441,539,807,207,308,029,
926,534,186,933,866,037,694,780,832,764,166,180,245,469,882,615,899,451,328,
031,153,949,203,415,866,412,545,620,169,214,472,276,477,990,940,364,187,859,
654,396,707,100,628,914,397,839,436,466,875,563,120,127,801,842,251,648,926,
846,824,954,699,170,309,230,211,309,211,346,711,754,160,039,843,992,912,304,
337,422,312,953,889,846,182,929,317,601,042,260,592,452,377,177,764,860,591,
636,828,136,494,552,014,125,870,330,312,439,293,326,129,250,767,150,803,641,
517,634,497,819,703,170,510,071,414,610,119,038,266,351,939,502,183,846,380,
514,410,951,433,017,125,893,417,664,711,717,881,932,987,635,072,752,324,870,
916,584,500,538,466,508,372,343,305,330,760,166,045,037,603,700,321,646,526,
300,993,152,303,313,307,945,000,124,481,912,808,951,073,676,774,353,540,390,
520,413,655,718,036,059,185,310,427,841,495,010,182,993,604,933,587,877,884,
332,377,283,642,798,680,286,590,430,826,381,738,926,569,132,097,969,501,034,
721,392,459,466,056,738,616,581,667,718,606,831,746,757,278,520,917,711,016,
452,775,931,038,093,944,803,132,457,056,622,387,128,533,671,329,261,572,908,
162,696,477,453,855,648,952,419,812,083,815,777,705,725,843,505,120,766,705,
486,961,129,238,097,234,234,127,390,362,221,383,743,902,506,680,233,714,443,
262,600,653,383,105,059,471,388,644,796,566,887,246,072,617,354,079,480,833,
233,609,922,960,435,891,856,378,280,858,484,209,182,653,081,998,328,426,073,
889,905,384,348,650,758,223,563,630,826,510,435,304,947,122,797,787,833,812,
470,274,584,904,885,320,879,661,169,197,281,394,146,200,780,710,721,377,612,
898,710,702,857,091,737,498,429,075,408,470,511,361,351,216,706,618,771,419,
826,938,642,816,672,952,858,082,971,551,485,489,569,431,516,570,860,823,202,
441,550,960,149,950,557,497,259,806,528,383,469,725,603,825,353,867,890,361,
023,572,865,330,338,555,283,460,637,740,978,189,684,607,560,374,684,490,304,
665,940,299,318,707,245,303,452,319,394,703,345,880,899,092,395,591,826,447,
173,451,311,687,605,350,904,823,992,341,535,764,677,916,930,053,769,527,334,
943,661,155,476,594,137,377,487,572,347,164,268,633,964,365,127,776,136,161,
883,982,585,999,897,614,619,840,639,128,544,532,091,798,245,046,616,772,647,
852,633,250,055,870,255,640,929,620,512,383,314,421,767,042,410,292,846,255,
697,033,216,736,470,735,492,918,644,314,407,884,837,939,530,152,735,197,773,
450,893,152,271,376,069,270,221,673,667,040,656,338,318,442,868,736,484,842,
770,223,757,969,499,016,340,893,986,813,221,649,882,355,210,251,057,107,829,
458,426,466,583,525,621,823,529,157,728,188,100,384,242,096,536,685,788,542,
570,115,620,172,742,198,143,377,176,141,468,738,208,501,065,781,276,867,193,
157,661,892,249,519,208,869,153,325,823,626,860,531,830,325,762,269,113,373,
719,752,804,818,884,015,077,565,217,294,794,889,697,431,421,070,091,576,063,
790,266,117,393,634,148,518,388,267,885,376,103,610,996,918,709,817,721,244,
114,153,218,522,749,760,624,404,595,195,730,932,693,085,008,587,723,678,559,
701,490,195,078,421,318,585,152,295,523,212,078,109,529,860,475,016,288,437,
861,267,440,310,642,812,203,724,803,099,918,787,204,970,692,758,488,664,290,
228,841,221,600,054,636,391,349,324,640,547,798,697,378,127,764,022,105,965,
055,732,350,776,361,063,946,349,540,879,263,032,430,727,792,805,253,820,975,
614,546,487,187,901,729,205,024,963,281,839,095,411,279,879,948,801,589,960,
275,340,743,643,216,535,627,058,583,647,429,440,674,348,564,020,326,792,463,
305,497,137,793,587,720,267,279,141,884,076,622,887,398,024,071,451,628,073,
714,918,751,106,172,886,332,072,205,202,484,851,133,443,399,207,831,384,776,
489,067,595,967,129,958,895,345,587,551,081,339,322,090,320,969,592,999,471,
699,818,213,026,684,858,714,094,252,064,240,618,593,011,503,067,010,229,062,
033,666,769,039,591,240,340,836,834,270,028,514,161,856,935,552,939,697,985,
180,286,034,720,033,822,850,860,947,715,951,737,995,372,343,693,890,267,524,
853,146,524,265,246,007,083,745,283,685,607,795,618,652,569,461,400,727,834,
094,364,351,418,505,266,829,311,104,809,550,749,726,459,402,470,609,998,455,
583,908,991,101,590,136,889,951,257,553,499,542,120,137,620,296,392,102,201,
487,574,580,624,625,083,426,196,445,271,053,201,952,576,380,464,657,496,135,
781,257,896,676,321,387,690,000,799,860,579,146,077,550,610,337,732,101,605,
321,560,166,114,557,892,753,863,847,484,194,430,796,588,979,839,380,544,248,
758,556,474,816,722,284,993,285,622,001,664,916,129,428,440,520,114,206,238,
399,260,579,343,732,501,132,692,324,417,689,898,509,148,473,637,532,382,014,
279,986,109,307,246,195,904,511,174,662,696,838,455,916,952,320,467,791,590,
099,491,739,647,630,986,982,122,643,024,545,217,069,556,493,306,117,690,076,
015,969,354,249,376,325,405,012,041,015,472,242,581,409,012,274,249,300,896,
481,527,390,982,448,090,813,248,889,166,011,599,120,659,867,566,224,651,174,
186,154,211,829,196,529,063,477,645,049,433,811,983,770,843,359,833,517,734,
537,923,918,414,838,326,943,856,159,477,018,514,957,580,885,076,118,611,884,
205,324,191,027,455,333,245,309,000,062,864,544,030,233,118,632,954,849,284,
331,790,764,293,196,787,511,481,221,836,387,161,613,227,379,538,413,983,661,
970,899,129,135,848,308,082,181,413,462,101,273,197,058,487,487,498,105,715,
299,033,914,928,475,817,669,140,244,862,556,278,020,971,453,169,442,820,638,
466,445,067,436,427,223,263,654,353,152,329,999,111,470,763,124,430,587,141,
342,451,709,757,474,404,258,395,233,004,165,516,144,019,036,962,901,368,423,
328,503,059,172,614,264,865,871,177,784,888,957,423,002,791,986,549,724,683,
036,828,300,961,361,172,026,550,245,382,007,681,822,068,346,184,624,437,558,
731,879,232,284,267,625,310,999,443,386,921,356,434,527,094,303,772,929,214,
649,731,791,584,107,707,751,329,702,907,394,949,399,281,646,299,468,334,801,
105,575,811,664,099,131,845,313,544,179,246,945,184,376,252,256,944,665,960,
902,820,357,768,566,163,075,170,411,709,799,040,273,035,032,001,236,958,615,
178,522,721,320,492,187,479,451,545,983,625,165,327,754,246,802,469,025,046,
912,015,285,892,345,378,225,476,204,583,840,669,042,094,073,397,012,073,289,
369,394,482,226,747,975,096,431,403,782,158,783,794,503,515,410,730,426,003,
257,867,910,553,953,994,082,527,735,173,345,419,684,143,441,871,243,844,544,
580,859,891,559,801,025,156,724,309,955,841,829,030,997,297,865,484,804,522,
961,561,775,680,650,083,433,390,742,741,552,495,199,056,357,181,101,971,807,
177,882,584,115,555,090,599,317,798,289,345,109,726,320,746,364,605,716,614,
227,942,532,281,627,464,709,885,317,480,509,598,139,333,989,165,878,714,860,
112,626,001,776,985,842,666,219,186,229,622,100,415,007,256,859,352,206,232,
321,219,979,663,599,329,741,063,058,245,399,291,902,783,522,951,210,229,187,
343,904,544,059,004,077,520,711,354,516,366,618,730,471,012,955,064,623,479,
129,227,342,504,519,808,163,063,621,571,777,896,749,379,600,099,983,592,030,
917,673,196,771,911,102,610,329,078,007,025,111,516,481,205,185,755,624,965,
079,972,156,123,389,748,525,549,520,812,989,624,607,252,872,501,653,664,798,
696,922,171,165,021,811,399,780,216,896,002,585,175,315,258,185,098,283,502,
961,690,777,273,820,947,279,192,241,468,050,327,970,276,151,212,628,741,391,
164,248,306,511,664,615,941,786,324,128,765,070,665,906,715,777,799,629,912,
610,759,817,974,183,158,572,758,736,566,293,906,062,041,497,766,264,213,423,
708,339,363,064,073,252,623,675,517,404,126,628,958,727,436,067,510,220,608,
723,126,132,059,410,510,911,142,762,027,595,412,305,324,828,813,483,880,614,
912,177,888,025,015,580,274,255,773,483,042,552,668,334,395,190,760,583,870,
691,048,536,272,640,838,673,609,422,136,528,986,112,402,153,366,333,380,942,
092,500,992,381,798,327,082,770,308,629,495,265,610,087,524,604,831,018,524,
066,007,597,553,321,591,571,629,693,899,616,394,308,120,129,381,439,858,929,
465,013,364,407,784,771,367,141,668,814,046,629,056,633,131,932,836,334,777,
327,542,353,067,554,238,650,726,432,936,547,483,052,340,794,677,753,344,997,
744,219,178,560,894,295,408,483,228,068,436,473,883,341,355,139,101,159,430,
287,839,663,487,711,902,699,193,999,130,853,541,760,005,829,663,126,735,878,
883,221,566,221,213,929,963,243,506,162,467,943,731,196,246,288,667,356,051,
020,451,626,019,986,700,961,366,318,225,243,483,753,156,013,223,833,707,228,
862,962,114,055,828,765,320,651,557,192,822,207,968,692,256,871,781,033,067,
091,401,279,591,768,111,743,456,538,733,856,643,005,519,925,880,604,774,585,
368,287,516,826,332,130,870,446,152,344,110,672,494,724,405,875,993,138,491,
637,153,952,636,877,348,859,548,925,412,997,303,399,081,365,608,691,304,712,
749,467,879,382,996,898,402,907,722,417,502,373,416,476,481,921,748,211,962,
596,327,072,094,098,732,344,228,103,498,861,573,790,112,491,260,222,168,043,
433,653,754,482,480,687,902,491,096,739,434,757,747,508,310,415,082,579,745,
191,085,570,568,721,712,734,693,537,726,350,290,569,058,583,215,697,053,498,
215,674,275,238,688,452,599,813,022,392,939,206,198,504,632,273,058,338,733,
237,850,574,400,961,564,767,952,674,564,830,004,945,490,700,411,479,438,338,
657,143,157,608,162,109,252,197,367,688,164,612,595,727,977,865,576,724,195,
310,277,056,904,758,858,148,231,978,244,966,023,080,479,304,079,108,922,025,
499,974,571,364,656,233,280,577,760,831,442,829,596,143,768,571,462,251,287,
806,646,773,789,226,565,402,195,926,715,258,896,499,505,419,458,517,268,362,
859,168,348,483,424,930,152,177,748,468,011,626,435,188,150,305,235,579,217,
033,065,630,940,566,537,802,967,506,937,985,809,955,302,559,437,883,603,957,
116,952,242,133,981,266,673,141,786,677,962,162,323,954,441,083,604,218,605,
793,030,321,377,697,641,377,613,986,290,877,308,807,334,114,500,745,010,559,
107,895,744,093,985,222,958,394,846,398,494,153,866,798,331,937,566,948,397,
097,673,119,142,431,680,325,038,575,988,206,240,469,023,421,992,994,248,567,
288,716,236,373,853,981,799,050,824,925,709,206,326,641,211,960,610,591,514,
912,552,496,544,467,098,498,629,751,846,328,516,759,308,709,651,658,327,845,
475,152,723,656,735,307,322,540,704,033,669,616,687,266,144,984,775,374,440,
887,954,295,107,830,483,390,427,493,281,699,528,256,896,955,741,271,688,344,
599,015,855,359,570,672,703,074,613,334,670,141,720,012,350,865,843,060,876,
283,781,485,470,780,818,609,834,900,314,607,169,943,526,230,118,546,855,716,
787,517,346,005,045,403,421,980,807,211,542,367,251,274,837,020,085,688,608,
636,229,598,055,295,512,495,895,483,347,782,340,871,340,141,634,540,920,852,
881,371,742,456,229,499,881,822,798,420,125,952,081,384,316,176,670,262,326,
393,308,070,701,298,905,157,092,708,839,915,449,532,089,136,223,429,737,767,
731,107,146,528,847,302,897,549,062,474,138,008,814,479,629,083,642,979,067,
216,925,593,125,074,290,259,901,400,103,995,202,147,680,545,427,590,007,838,
192,782,987,101,145,702,026,446,458,276,586,704,122,282,058,909,638,264,107,
707,569,992,075,408,721,041,869,614,393,490,573,020,386,273,831,337,709,551,
202,262,820,981,613,047,050,456,858,223,860,206,371,646,706,913,937,632,355,
092,557,998,780,160,135,367,630,908,429,685,310,007,980,078,009,622,011,954,
891,923,981,111,941,690,162,507,579,900,026,393,757,189,473,390,685,476,107,
644,072,156,805,267,998,987,779,025,444,153,277,681,939,863,836,478,226,695,
835,272,911,511,462,348,274,632,307,737,937,555,771,868,421,470,052,434,973,
612,421,035,279,285,451,231,886,014,225,128,309,963,900,951,735,490,425,686,
154,995,672,682,064,707,187,386,326,511,392,438,195,730,169,932,747,163,917,
374,803,598,650,815,038,497,616,527,830,217,367,749,428,480,119,661,547,439,
043,862,909,078,415,857,964,522,539,201,007,253,712,466,941,809,940,744,166,
175,625,191,933,087,754,609,738,715,993,406,931,918,483,762,704,046,072,207,
598,766,756,885,609,604,601,947,901,216,341,220,348,825,405,813,621,346,506,
320,271,909,650,267,500,895,642,322,818,726,985,221,548,881,594,361,158,270,
065,656,757,996,367,746,903,094,717,358,252,508,384,647,663,597,050,021,793,
758,474,186,900,030,129,005,866,912,241,762,621,767,551,085,294,063,298,254,
205,991,859,066,850,355,425,667,253,295,255,275,749,744,825,255,720,437,870,
209,997,975,942,454,623,768,501,445,387,747,906,998,156,740,285,780,815,649,
984,985,184,273,353,438,279,569,967,831,422,593,959,758,416,349,892,799,621,
663,250,779,715,839,202,911,497,367,742,538,596,802,322,834,384,985,110,555,
768,578,987,877,529,809,090,660,567,697,394,857,546,620,554,542,954,669,443,
405,866,828,998,612,858,189,934,936,372,510,725,321,814,533,623,073,545,540,
168,633,916,161,142,927,268,725,895,904,396,831,542,755,005,009,823,648,249,
136,047,107,052,143,469,371,691,188,666,439,831,872,300,300,954,045,378,583,
952,281,809,641,336,002,838,880,738,788,732,130,385,449,760,233,799,003,574,
014,396,961,593,178,357,125,576,888,913,724,280,977,255,074,410,527,143,900,
294,112,911,734,995,226,318,265,133,889,709,806,171,001,183,743,107,563,205,
197,777,427,035,447,359,147,917,149,355,812,923,149,070,682,906,627,650,972,
047,947,371,160,544,808,243,075,165,672,501,420,948,185,364,358,556,597,375,
927,288,309,751,207,531,724,187,700,574,519,960,179,337,385,701,507,371,165,
097,714,325,228,643,900,804,569,229,348,293,589,882,886,177,632,431,436,031,
440,890,263,086,000,510,390,035,419,603,256,697,394,756,328,746,703,082,495,
038,473,138,992,781,140,232,976,497,243,170,417,822,046,612,157,964,923,990,
321,659,131,978,892,096,790,860,782,198,419,128,079,859,601,453,171,622,598,
582,490,105,446,114,736,123,704,596,078,850,036,671,380,703,572,200,435,720,
791,813,821,776,623,573,987,760,952,900,662,754,313,987,931,300,114,133,319,
010,011,813,809,435,162,335,496,065,997,246,224,746,856,071,576,765,964,883,
323,784,143,975,663,429,060,507,189,904,227,701,873,045,780,821,673,659,169,
039,606,202,740,196,195,822,259,052,419,911,764,559,643,663,383,049,464,305,
652,965,460,975,553,475,445,665,095,060,977,051,938,787,999,995,601,253,811,
245,492,501,810,534,965,361,639,109,538,592,497,606,558,077,984,657,437,127,
551,815,174,505,934,545,846,037,095,526,277,414,011,850,224,535,679,830,078,
688,459,702,854,765,346,404,900,007,398,555,579,728,298,233,652,482,031,394,
664,755,477,230,261,348,034,802,159,657,047,593,559,679,657,659,842,598,159,
475,453,603,610,285,018,592,068,012,958,421,214,929,050,288,849,416,757,453,
243,797,668,975,996,238,373,319,998,559,292,581,807,608,274,968,700,219,181,
100,441,538,124,918,410,820,741,276,515,271,441,882,518,471,166,013,592,587,
845,748,131,599,148,838,882,189,465,113,831,506,563,392,239,177,131,010,728,
043,463,509,527,932,880,212,065,593,008,886,358,651,440,212,937,496,491,926,
002,297,176,647,978,555,553,246,695,513,902,815,311,563,993,457,592,305,571,
596,179,199,221,416,256,453,151,072,412,682,344,949,583,869,769,168,489,001,
228,396,221,357,456,985,157,752,994,375,178,939,401,661,415,145,455,412,611,
274,369,571,677,488,500,285,783,575,185,005,140,076,972,302,150,357,663,424,
875,552,372,730,838,767,559,871,553,596,981,471,006,425,432,955,714,306,142,
000,096,458,971,728,918,604,611,504,880,608,085,385,472,724,781,970,201,320,
717,785,251,866,959,302,647,363,679,641,640,513,175,278,870,174,817,592,767,
998,360,307,138,144,579,987,372,850,724,890,127,944,697,926,210,748,321,792,
889,609,935,837,276,574,314,942,341,060,636,020,992,766,959,110,309,398,686,
193,988,623,403,877,426,670,136,011,109,622,664,723,670,757,416,588,247,976,
353,376,080,625,305,441,204,379,404,337,641,133,662,814,698,877,045,725,640,
677,574,009,501,821,983,090,676,318,654,616,249,644,365,890,787,320,346,827,
758,521,292,988,261,854,400,257,764,392,374,279,468,882,811,686,004,107,959,
062,408,085,370,609,313,945,459,912,255,868,355,351,620,995,796,395,896,827,
597,798,451,837,054,257,554,208,630,653,815,105,433,298,655,725,492,854,098,
811,062,290,130,890,073,304,693,815,386,249,434,464,352,372,020,702,093,034,
367,658,803,216,667,668,186,685,494,020,324,220,485,290,386,094,618,475,139,
088,249,058,276,937,925,219,266,520,961,104,828,897,153,741,626,066,105,180,
676,215,289,171,304,275,088,926,313,370,994,681,097,181,765,620,579,527,582,
606,286,757,761,104,744,981,496,088,707,991,335,590,432,622,157,636,866,836,
397,549,917,641,198,636,941,429,298,974,599,480,045,994,854,913,303,022,819,
898,417,761,875,280,101,847,672,349,675,809,184,255,426,391,026,625,344,228,
651,094,676,038,498,250,776,772,171,879,387,135,227,598,866,427,831,758,333,
848,598,790,051,768,555,441,803,258,995,476,671,688,938,045,223,117,756,113,
926,828,476,920,430,803,902,275,357,665,933,723,567,814,542,957,564,576,635,
270,984,541,162,219,670,324,489,333,989,773,297,057,988,840,551,664,608,461,
187,311,529,278,470,113,516,949,242,845,412,862,809,704,722,634,565,950,016,
524,898,019,366,079,000,664,735,943,653,372,618,303,329,590,516,099,386,262,
603,117,945,878,637,017,788,253,524,159,701,719,182,058,219,501,488,394,827,
518,419,625,187,631,200,068,824,235,736,619,269,896,500,118,421,692,701,891,
067,930,375,585,177,294,555,025,621,946,430,579,805,934,670,902,442,093,856,
754,983,008,948,726,395,031,390,640,960,304,654,514,092,386,447,763,113,965,
207,736,155,518,081,483,347,415,516,786,658,433,380,309,497,690,406,278,642,
481,729,731,669,531,497,507,171,349,598,104,827,484,963,477,429,145,408,797,
558,956,123,631,637,336,566,184,472,271,732,366,785,495,470,290,824,685,569,
368,033,804,414,966,906,984,078,308,226,247,342,932,201,191,753,661,648,036,
589,333,005,668,642,630,644,954,572,655,928,688,465,531,899,397,129,697,269,
491,600,147,014,461,460,734,088,342,128,539,735,043,415,895,754,074,294,961,
827,020,806,570,418,002,291,459,505,502,811,996,427,098,882,090,566,962,807,
342,152,382,297,001,141,250,843,666,935,012,091,639,953,943,890,547,311,063,
623,689,146,896,983,346,054,439,454,744,425,951,287,188,278,677,100,883,152,
277,707,316,158,979,598,164,499,390,518,713,177,819,191,997,017,336,651,718,
215,735,970,120,964,112,203,856,805,438,434,252,049,511,002,997,153,721,303,
727,158,777,975,109,638,658,762,321,837,796,888,583,558,822,802,104,017,912,
631,642,730,289,418,923,281,542,699,142,772,539,822,191,546,526,751,644,213,
242,470,191,449,516,710,445,347,848,339,342,334,928,399,795,097,948,290,063,
279,704,387,193,493,877,338,843,766,322,511,338,437,383,756,343,132,031,033,
252,868,864,968,227,036,083,827,238,419,349,141,559,094,306,140,861,867,375,
754,924,639,501,734,242,766,673,419,712,139,277,443,564,659,961,358,049,949,
831,614,109,207,599,550,276,020,758,530,740,286,725,859,358,283,756,913,148,
435,293,853,178,496,478,495,460,166,705,886,500,430,557,620,958,543,432,523,
496,525,237,998,586,660,818,533,553,310,299,828,889,207,636,692,061,584,631,
365,656,784,300,963,089,178,267,823,536,129,696,744,529,809,672,237,841,507,
358,131,757,808,384,958,107,253,506,769,933,181,250,761,471,547,097,504,220,
371,560,616,047,313,031,782,166,941,475,414,394,951,856,409,777,000,787,446,
462,695,034,283,995,085,424,867,494,865,955,237,809,989,484,692,360,514,964,
897,279,951,210,179,617,655,097,993,176,454,469,709,328,049,357,895,137,295,
728,722,707,400,650,434,193,368,499,611,943,547,988,469,389,294,071,444,855,
129,036,883,416,546,674,408,024,669,976,786,448,834,606,502,712,743,157,760,
348,899,231,845,200,420,180,567,326,368,676,063,018,536,422,409,610,563,126,
312,464,501,082,694,448,291,030,991,780,881,612,865,116,452,006,320,375,334,
951,577,282,913,240,590,693,539,476,465,039,466,132,480,962,542,931,535,627,
061,515,719,415,465,965,512,076,584,951,033,675,594,517,011,355,467,903,714,
350,451,416,333,985,739,227,178,893,098,345,757,539,068,810,698,278,045,685,
010,171,138,202,424,129,964,405,582,414,955,082,587,238,779,512,656,567,530,
149,103,998,313,258,902,074,808,100,014,932,647,651,183,402,520,273,182,950,
373,712,095,325,079,518,626,306,769,068,004,037,377,601,153,769,346,097,327,
351,967,662,842,082,320,619,287,492,301,822,635,602,363,163,997,525,985,472,
929,314,386,549,345,565,916,209,688,127,213,652,626,574,433,646,198,185,305,
704,838,336,684,755,424,805,954,478,352,736,682,825,264,832,226,435,361,389,
880,316,698,671,810,184,921,935,138,898,739,048,119,709,768,165,042,318,143,
623,409,931,321,835,466,344,349,337,088,772,533,023,537,598,524,201,997,018,
334,841,055,383,033,569,329,399,045,932,815,219,017,433,534,016,863,856,283,
600,055,737,664,666,010,985,319,717,408,823,792,382,227,867,226,944,158,910,
910,740,022,488,804,978,159,483,435,050,239,131,187,076,581,016,755,064,293,
764,236,314,850,526,021,452,051,415,042,179,826,690,031,323,768,544,970,162,
780,486,870,695,804,496,570,491,073,062,513,701,283,249,602,533,053,443,626,
875,204,733,953,484,677,800,097,041,985,137,203,539,516,672,428,785,774,181,
913,516,863,349,001,016,580,371,775,572,332,364,608,365,895,020,858,663,854,
143,421,320,609,146,802,563,744,172,313,904,118,467,709,756,932,773,418,866,
218,190,561,579,975,592,982,855,527,072,818,686,996,116,166,479,650,332,423,
010,455,788,911,860,941,777,496,060,674,392,677,571,342,243,000,121,150,869,
164,441,549,847,753,309,461,252,643,551,160,102,536,516,717,540,536,630,007,
155,813,734,223,440,065,110,895,663,299,131,786,755,531,173,687,467,888,920,
317,711,258,667,768,150,728,629,167,128,589,618,524,806,797,070,572,139,997,
288,521,458,064,372,010,365,140,872,185,507,087,385,287,701,001,465,512,502,
660,631,493,130,616,262,709,419,285,103,474,478,087,858,005,068,111,822,622,
475,461,308,096,543,028,493,953,979,697,227,315,338,334,196,630,440,397,471,
921,010,333,185,447,389,422,609,065,788,448,674,023,786,269,726,895,935,573,
218,807,233,098,293,249,140,306,547,733,251,636,979,201,000,172,874,986,937,
977,521,825,902,948,767,981,789,867,081,614,297,785,569,637,572,095,139,532,
997,221,652,681,071,264,888,891,837,497,102,069,006,458,786,959,859,919,548,
919,108,049,218,787,595,244,394,344,432,819,149,101,598,792,043,802,740,874,
571,215,085,762,017,197,160,055,647,540,277,378,095,256,993,551,161,305,862,
381,575,271,556,945,068,636,548,073,526,125,599,667,117,111,642,354,727,041,
377,627,762,726,059,393,079,958,844,065,583,269,757,216,977,714,448,195,714,
168,918,064,554,678,587,093,060,001,927,106,433,381,771,506,058,319,304,881,
077,946,559,800,334,971,553,746,634,545,820,515,248,238,345,329,694,900,258,
521,010,678,816,123,794,055,711,413,347,414,684,985,294,894,268,979,566,073,
153,352,728,170,058,137,169,154,837,655,381,952,032,371,029,517,519,382,791,
539,235,837,992,969,684,982,833,244,809,688,709,412,765,792,253,733,012,620,
261,402,561,987,661,716,518,543,916,011,942,557,700,787,277,979,207,251,516,
000,776,061,720,294,749,953,352,840,300,287,032,127,165,135,638,199,102,401,
349,310,290,518,906,438,221,936,052,433,427,088,853,622,437,510,798,806,326,
033,687,118,705,632,484,433,944,785,232,700,161,589,294,453,471,577,006,696,
906,006,136,505,325,740,430,117,480,133,363,326,111,936,152,532,138,572,078,
314,741,370,936,783,944,615,632,759,583,340,354,786,044,802,458,059,156,219,
331,967,219,598,980,896,152,793,826,693,521,491,299,337,049,504,750,702,781,
877,918,075,360,056,407,272,042,869,028,911,039,802,552,944,793,678,231,946,
239,445,733,280,440,375,887,210,756,980,750,488,460,456,501,889,256,955,161,
770,500,170,151,245,870,880,969,533,517,332,734,692,861,029,164,850,338,118,
856,829,651,922,302,703,668,396,042,125,277,304,898,535,577,035,641,075,754,
304,636,981,563,655,839,502,190,322,636,212,891,053,149,046,330,260,371,610,
481,659,890,113,829,120,549,751,527,598,797,695,144,854,788,289,931,898,599,
897,971,709,429,621,258,287,431,932,108,858,320,054,631,936,332,117,844,421,
434,269,301,703,968,057,584,799,220,969,581,254,453,165,410,179,726,702,418,
648,747,249,568,740,146,600,083,829,411,116,063,391,008,712,398,913,031,469,
056,224,622,834,575,793,482,703,783,855,008,584,490,020,374,794,066,992,810,
909,036,159,554,399,940,963,016,453,553,241,193,303,278,188,920,803,791,938,
506,258,854,849,522,377,017,028,537,017,608,580,734,723,717,530,210,688,470,
457,219,851,837,732,869,898,750,221,764,792,630,843,685,809,924,626,402,563,
989,783,916,460,402,202,167,263,168,904,414,381,548,070,413,125,722,128,523,
252,544,199,158,690,827,324,410,002,420,064,940,930,978,681,682,520,298,548,
431,494,143,280,811,374,499,145,679,570,444,064,116,562,959,069,366,197,864,
235,059,610,429,438,541,453,957,246,719,411,177,623,611,424,510,496,597,142,
717,604,505,808,495,328,072,218,185,282,016,746,246,973,475,701,427,144,179,
178,351,212,349,931,503,132,772,641,393,438,060,523,944,110,576,932,631,638,
822,384,304,388,168,445,982,984,383,000,835,633,360,977,157,623,232,364,111,
149,711,516,944,694,874,331,773,581,515,116,513,024,544,332,273,009,093,643,
880,507,868,645,872,901,455,884,950,016,903,585,272,432,024,763,003,164,343,
923,339,783,694,762,300,279,441,482,200,505,852,487,376,566,215,472,466,291,
557,036,555,679,711,255,985,970,905,226,337,398,396,256,088,706,401,253,137,
894,263,456,523,227,610,557,771,083,182,362,480,001,885,588,428,614,979,128,
114,293,055,977,090,461,422,757,851,913,810,153,124,354,874,448,647,053,344,
517,766,615,260,670,990,599,472,522,571,064,231,293,180,610,518,780,917,065,
185,746,361,488,856,717,283,115,900,052,188,250,560,408,511,033,070,000,277,
772,921,778,286,392,322,727,151,865,283,126,553,168,412,251,949,982,648,528,
237,363,640,584,391,316,662,346,292,856,676,713,752,748,988,799,970,899,696,
380,461,125,254,181,644,554,763,734,918,912,615,493,622,264,392,685,411,745,
898,733,101,228,604,507,001,821,621,659,637,323,490,811,896,198,639,404,454,
974,583,112,935,961,755,484,331,989,926,302,958,538,597,977,508,694,859,423,
728,837,179,813,442,876,618,238,849,482,333,319,736,303,576,155,329,010,439,
623,721,146,959,327,783,745,873,554,345,072,013,551,134,361,270,604,197,741,
324,654,140,966,915,010,473,540,865,073,575,413,853,749,609,244,591,409,344,
409,808,651,925,730,364,783,040,661,285,543,284,193,261,063,906,125,397,200,
802,154,818,157,310,682,034,239,917,654,214,963,014,919,256,172,567,082,809,
484,803,863,203,499,791,339,360,199,391,865,607,800,167,672,068,752,958,472,
548,044,279,745,744,329,523,443,368,004,932,321,418,469,263,304,029,007,759,
413,229,513,771,617,355,533,190,415,683,255,388,213,620,423,005,893,139,218,
423,273,199,750,951,409,585,652,806,803,294,997,678,774,991,607,702,651,438,
680,665,625,983,220,683,549,505,033,082,525,131,857,333,464,824,849,116,539,
095,174,379,461,368,512,385,850,539,818,123,575,166,274,841,193,418,772,305,
267,989,070,816,954,987,556,236,525,421,204,655,331,530,931,510,302,491,485,
088,084,269,506,744,419,127,275,361,945,486,046,689,986,673,405,129,183,674,
111,876,738,065,066,894,986,846,139,434,588,572,767,396,031,993,490,741,889,
335,483,472,590,257,332,090,253,286,691,892,071,958,416,442,180,027,913,591,
939,882,530,536,945,105,666,216,403,077,760,940,119,069,909,378,866,946,231,
259,013,347,869,018,673,715,105,481,717,025,235,834,555,974,431,038,809,988,
930,750,243,348,294,542,661,339,357,900,810,905,705,320,873,303,474,699,938,
880,282,018,414,643,582,996,735,688,980,797,792,273,408,216,630,654,140,170,
685,178,932,619,551,087,300,358,753,205,704,624,047,826,556,311,558,287,211,
716,445,310,008,666,729,663,791,644,702,962,675,361,541,645,090,046,553,998,
772,421,487,741,692,221,464,835,723,635,247,185,840,220,082,724,266,230,841,
745,681,836,650,545,434,241,189,017,521,193,199,249,349,643,729,402,027,673,
723,561,943,979,036,228,858,152,257,965,958,786,585,869,725,451,735,739,875,
054,295,555,142,770,137,645,780,575,147,474,888,726,481,817,100,437,289,061,
510,165,621,310,879,354,402,231,476,704,797,701,749,421,893,382,536,173,396,
081,851,141,204,473,913,486,609,822,439,066,843,296,424,813,839,379,594,320,
447,690,055,025,012,634,644,537,221,319,675,331,263,076,109,967,425,622,928,
048,481,751,467,777,336,588,953,398,401,717,572,520,845,526,299,514,758,887,
194,700,913,951,000,208,307,209,476,887,853,205,237,229,320,281,209,191,763,
114,270,979,765,482,890,488,039,399,779,318,978,050,798,833,476,305,151,812,
095,888,517,433,027,772,442,355,076,382,953,968,701,386,768,807,371,096,307,
875,304,646,460,671,166,700,743,225,935,295,791,916,318,143,666,170,855,821,
037,491,653,833,089,748,144,966,169,973,293,051,422,721,416,805,660,274,849,
743,950,332,623,126,324,661,445,121,603,220,270,719,667,439,292,665,264,342,
045,809,389,825,776,141,894,873,584,346,170,958,073,115,513,895,897,389,371,
150,400,805,809,372,138,598,208,344,426,322,488,987,262,894,161,750,298,085,
083,209,474,100,412,960,534,560,541,364,554,212,131,757,041,682,000,459,895,
461,170,700,628,541,967,154,410,718,704,086,103,342,521,928,912,845,129,919,
118,223,543,245,737,461,795,353,230,802,801,538,644,771,718,705,955,367,798,
645,126,275,106,719,583,979,860,445,694,180,958,102,980,272,475,347,122,311,
217,753,010,460,312,273,673,450,320,707,084,184,894,721,941,915,398,704,198,
782,606,870,872,658,637,136,731,530,330,131,772,576,432,317,852,724,116,518,
733,366,128,881,266,632,402,438,925,937,877,516,750,780,215,016,077,856,575,
465,559,685,594,060,634,185,211,423,983,008,049,621,693,203,661,140,447,313,
083,156,302,574,530,089,756,636,947,635,369,660,365,281,361,654,232,862,636,
993,000,444,698,830,836,617,984,043,725,030,556,219,711,259,130,443,155,607,
708,592,253,388,503,807,665,549,662,107,899,352,455,948,153,498,557,303,211,
136,632,987,379,699,780,447,711,531,725,903,606,455,150,527,703,891,319,972,
739,341,174,995,394,100,571,707,577,497,691,781,766,505,791,134,092,164,368,
568,368,458,321,948,881,810,312,742,202,807,977,145,646,387,242,522,822,200,
195,369,398,602,181,726,033,302,649,011,682,018,801,756,508,131,769,507,869,
110,984,481,287,153,552,449,415,207,789,513,900,054,108,684,846,749,919,892,
877,705,821,706,641,671,500,012,219,562,661,629,836,420,603,369,892,026,467,
379,486,277,150,964,475,233,321,792,195,409,428,485,317,744,239,749,277,734,
555,181,186,771,376,544,347,644,786,036,821,743,365,463,737,198,926,087,414,
361,459,322,876,924,900,447,657,903,532,443,610,117,507,596,846,857,644,061,
863,171,345,269,770,123,560,892,787,913,360,436,024,836,795,562,595,643,257,
952,608,945,973,035,827,482,340,829,829,451,835,011,439,202,170,449,145,936,
261,104,834,797,679,461,561,940,229,436,749,983,691,809,062,936,829,657,970,
424,666,276,113,480,782,410,893,936,704,983,049,314,326,808,820,002,584,827,
950,966,321,152,023,493,022,212,766,879,996,611,125,296,420,761,976,411,946,
413,348,586,760,044,076,494,785,080,271,678,617,599,337,356,744,132,126,394,
492,340,993,179,325,529,152,241,177,875,945,710,805,424,947,153,658,220,107,
379,414,482,213,016,761,493,706,942,932,223,508,427,051,454,840,899,096,014,
696,480,723,280,625,947,991,613,036,874,306,388,439,948,197,211,663,988,031,
789,972,467,006,034,835,706,978,591,842,606,916,566,442,285,879,995,110,516,
288,487,163,944,043,427,380,836,576,985,210,216,068,311,385,012,028,385,845,
409,094,166,197,506,602,412,388,780,026,771,039,420,253,822,645,252,793,519,
900,148,761,963,380,171,975,669,903,200,537,653,681,584,232,805,103,367,893,
222,666,908,859,375,317,907,904,495,429,580,673,544,964,302,025,769,522,744,
869,032,041,056,753,300,472,921,623,429,061,434,718,489,954,007,548,234,698,
264,376,250,606,767,012,719,967,816,143,545,329,293,453,130,652,386,303,362,
977,113,205,180,927,531,112,939,153,501,936,033,663,591,081,672,245,850,863,
469,992,624,951,629,386,769,542,600,597,389,868,984,530,703,757,360,708,475,
297,858,743,757,789,403,014,369,162,175,043,627,070,555,411,213,710,527,053,
129,229,517,741,290,656,620,334,925,069,510,693,424,835,774,667,295,821,618,
106,391,425,881,002,919,835,207,079,468,689,185,488,571,173,160,854,073,816,
777,528,304,407,295,743,062,683,847,605,493,860,007,661,301,348,441,209,898,
123,996,552,028,730,494,711,351,161,305,893,458,200,881,490,478,354,560,653,
666,331,693,198,188,767,123,205,616,773,530,982,506,146,046,803,643,724,780,
427,012,342,709,861,261,406,116,521,957,025,271,814,733,085,486,756,080,438,
038,180,238,813,578,174,329,708,497,961,063,408,428,028,035,297,536,355,357,
423,387,663,395,354,162,751,170,091,933,752,545,461,664,612,736,980,783,217,
247,244,866,603,034,156,832,446,857,730,438,598,356,378,168,908,072,059,606,
193,366,631,886,844,131,808,067,243,332,542,603,808,849,596,700,786,436,383,
546,472,148,961,405,627,978,176,483,970,863,985,017,731,245,676,526,788,247,
528,299,174,995,639,185,867,924,902,067,734,230,519,809,690,106,313,552,423,
277,359,490,439,195,771,113,674,614,521,347,214,604,744,372,269,274,358,529,
961,743,022,124,087,648,413,200,756,656,808,571,494,915,193,660,983,087,368,
763,712,816,381,090,669,197,100,640,636,270,210,110,584,202,986,911,747,061,
732,173,465,322,366,363,617,745,170,475,480,732,063,755,187,007,272,320,764,
562,935,705,374,062,350,288,511,732,691,785,087,316,146,171,288,224,917,449,
556,308,047,539,963,055,614,834,084,929,857,182,604,225,746,665,780,727,988,
085,389,418,971,041,328,584,191,592,937,964,076,086,179,643,838,678,644,667,
016,456,366,988,587,164,296,632,871,442,489,809,711,857,844,771,601,457,167,
888,564,220,848,062,199,047,492,631,732,572,739,354,600,208,536,250,789,733,
962,746,325,337,930,943,890,542,900,295,011,966,656,321,649,498,781,570,775,
025,285,572,987,583,781,365,855,794,132,286,664,498,851,951,699,219,289,863,
694,629,933,881,956,089,277,901,264,365,769,975,623,487,253,959,218,709,870,
917,057,152,500,162,869,282,858,893,366,529,838,928,029,748,596,767,994,703,
217,466,028,784,674,402,513,239,762,550,130,289,166,087,742,759,664,310,358,
260,677,865,925,749,647,795,589,900,524,340,686,258,871,291,227,632,013,553,
447,089,474,230,645,600,726,275,830,957,499,148,192,159,315,594,029,222,470,
163,569,715,624,167,394,932,150,222,310,281,383,142,391,789,007,570,782,455,
493,856,084,590,912,348,178,927,317,742,381,899,647,393,798,480,830,547,908,
492,957,995,272,999,744,886,219,093,074,622,959,948,120,282,318,934,381,025,
783,718,288,036,972,618,914,958,575,397,924,646,126,597,691,985,569,155,955,
762,457,495,997,581,733,819,241,565,790,794,233,002,316,307,684,797,841,176,
280,780,449,345,766,868,495,806,304,587,978,605,110,505,356,148,308,354,878,
525,094,144,616,548,902,016,391,836,326,951,551,977,591,744,624,752,670,474,
768,036,476,742,743,867,913,511,181,611,101,454,953,236,868,906,700,340,497,
542,039,665,234,108,292,487,220,081,419,261,219,924,367,334,314,304,782,954,
505,107,898,823,574,077,927,968,375,062,368,593,931,533,391,748,244,825,147,
180,673,550,351,882,537,540,692,932,921,719,673,951,810,556,286,939,812,340,
600,158,348,125,602,994,730,272,011,657,342,634,490,313,478,653,781,392,485,
947,070,185,075,285,713,225,712,057,624,751,908,132,913,568,219,606,969,599,
254,695,622,733,356,914,647,322,380,110,737,708,281,654,729,177,837,628,716,
831,264,325,316,685,902,036,486,564,545,387,337,925,716,197,922,847,579,791,
067,103,889,873,090,208,815,288,911,117,736,428,298,390,501,999,968,963,480,
437,824,950,740,437,111,149,746,190,724,844,559,462,702,726,486,496,184,498,
861,830,297,727,706,660,432,010,120,947,730,679,749,871,081,425,076,811,306,
498,861,422,880,183,925,276,877,297,208,552,268,441,047,747,764,284,500,721,
081,650,540,223,477,267,137,470,540,795,723,602,373,860,933,746,427,852,469,
505,664,441,650,025,974,566,369,434,346,885,256,859,786,957,647,489,214,978,
879,375,520,549,147,014,928,812,637,501,061,087,080,423,268,621,421,061,960,
071,541,019,408,656,389,421,921,943,067,952,184,310,554,613,270,711,827,412,
849,215,969,926,871,335,395,644,282,753,922,553,529,349,729,521,768,098,864,
059,157,819,519,982,264,722,804,800,044,268,168,492,399,600,140,633,366,057,
387,586,525,654,636,777,198,147,667,154,834,607,364,530,840,880,852,083,627,
519,405,814,502,446,779,666,711,394,613,027,310,002,099,631,687,366,531,713,
954,931,311,611,910,020,825,983,290,049,099,067,192,347,352,788,644,223,098,
258,812,198,982,090,736,515,899,411,362,313,524,555,076,713,009,460,128,505,
780,731,464,588,046,341,850,195,874,784,800,204,333,644,940,558,139,510,344,
558,785,075,847,425,112,777,978,484,818,219,148,600,036,333,155,589,671,576,
783,530,975,178,069,077,410,207,341,407,472,894,666,362,035,949,825,489,580,
950,095,170,679,521,008,106,144,323,874,098,487,826,458,397,636,713,313,389,
948,250,282,401,701,877,600,409,253,893,005,690,621,181,484,064,338,239,025,
239,468,429,936,731,295,057,788,670,190,505,093,528,152,291,208,733,973,446,
036,328,108,507,180,291,691,549,416,372,395,165,718,969,522,150,473,862,453,
276,197,653,740,544,500,918,640,712,310,014,138,809,584,958,523,330,179,477,
165,136,934,827,673,918,090,449,349,357,327,650,773,120,955,904,879,698,046,
686,377,891,540,376,096,259,237,227,640,006,606,236,537,608,672,026,223,399,
894,898,480,752,794,515,799,565,216,746,700,088,847,177,662,619,626,792,447,
202,379,554,388,102,146,663,503,939,638,390,134,057,015,192,977,249,460,615,
170,489,774,353,460,757,004,855,371,655,502,085,032,273,579,817,928,352,314,
118,126,446,658,942,493,095,998,443,315,939,916,420,753,676,638,469,952,784,
536,696,135,163,552,944,774,142,802,279,475,263,107,086,422,763,149,727,402,
942,391,281,282,372,546,078,184,948,742,015,643,985,524,610,810,720,740,719,
112,108,342,608,492,771,028,675,022,297,755,179,576,258,197,615,897,125,391,
323,231,865,933,473,209,900,995,365,023,640,001,963,626,392,231,618,069,888,
541,502,145,350,310,217,978,237,205,928,230,207,562,169,391,275,910,035,035,
356,544,288,326,686,349,174,385,524,935,015,055,020,312,447,534,866,544,351,
983,152,035,058,912,189,164,073,770,833,263,668,470,647,928,561,027,307,960,
156,214,422,222,175,339,276,752,010,943,272,646,334,917,224,199,533,370,554,
276,275,778,418,923,996,493,139,811,918,858,528,125,381,565,408,204,685,385,
962,205,017,235,600,137,418,937,487,308,826,048,897,423,556,626,820,413,422,
502,992,796,608,203,553,019,518,098,320,794,459,814,824,889,793,873,811,541,
561,403,345,662,311,974,251,816,365,420,178,302,334,471,521,591,769,313,403,
326,509,698,986,028,032,626,017,612,305,124,233,823,166,365,402,862,847,931,
711,815,931,895,744,902,884,146,455,644,647,280,339,974,830,246,199,484,027,
810,944,118,157,296,649,813,395,546,055,006,916,296,859,752,948,497,863,741,
265,386,498,613,277,250,960,165,907,267,987,292,373,081,126,449,853,420,819,
304,999,255,381,340,008,504,166,752,052,438,675,373,480,448,485,752,264,173,
771,055,001,599,548,987,662,071,900,374,289,394,757,389,859,972,166,182,247,
171,882,460,488,710,847,944,919,425,495,311,314,301,569,746,048,469,443,404,
560,391,207,491,782,667,973,200,366,019,403,250,202,998,025,948,909,101,985,
641,687,155,567,205,751,962,187,176,470,267,497,130,513,393,662,100,497,177,
343,778,533,397,483,947,166,164,135,506,433,459,769,173,845,912,362,269,031,
339,675,137,797,287,493,186,964,629,330,005,399,785,891,859,641,708,499,605,
888,821,112,462,499,096,015,758,355,665,077,647,976,111,841,018,557,596,844,
829,017,994,624,492,991,029,702,477,276,865,530,198,704,950,315,426,091,519,
556,334,511,711,555,896,254,343,987,677,702,395,442,106,393,194,198,659,244,
267,876,738,434,963,799,051,645,465,930,737,660,638,110,004,158,302,483,711,
820,298,809,615,965,464,320,481,674,451,245,384,795,071,559,387,634,371,307,
491,725,133,803,483,811,824,118,461,891,690,994,776,138,774,659,115,918,574,
963,738,228,979,257,374,907,437,151,598,612,126,702,933,225,172,671,207,458,
158,511,191,593,162,754,171,121,316,111,369,464,030,083,730,004,748,189,866,
151,709,521,959,203,158,137,512,293,882,254,068,981,578,137,400,698,514,789,
089,364,268,392,349,906,795,341,923,095,417,686,552,167,726,134,340,188,316,
617,811,425,274,882,060,042,364,341,919,241,028,591,395,440,299,628,275,898,
056,809,616,249,892,242,517,770,079,652,237,939,258,592,952,247,500,433,724,
765,590,884,927,499,130,763,726,049,589,366,075,879,534,941,282,821,245,032,
374,698,568,654,100,508,877,326,946,919,142,244,645,473,858,673,242,617,170,
782,849,601,333,366,047,657,048,895,525,312,452,409,589,174,162,318,134,338,
463,114,745,113,988,438,919,620,502,872,782,312,039,832,535,536,671,700,656,
619,977,836,351,360,340,678,834,980,179,282,827,050,392,690,697,746,125,252,
512,990,774,849,705,057,523,033,634,835,978,214,628,899,856,936,116,209,418,
663,258,409,690,487,293,262,005,529,373,728,008,304,594,932,317,091,177,764,
448,869,681,778,079,881,869,727,742,054,554,330,251,956,221,778,041,789,509,
975,036,540,507,327,751,645,207,612,227,703,702,918,247,789,108,416,465,380,
568,038,250,964,772,666,660,360,931,893,846,440,062,129,705,651,471,980,732,
920,568,478,612,129,593,455,745,649,000,147,818,793,601,168,865,848,417,742,
311,844,662,073,698,938,971,120,840,180,996,660,016,741,657,901,664,217,144,
898,013,818,650,477,198,139,489,303,596,188,411,754,807,218,516,949,469,995,
774,930,329,297,556,071,600,718,593,954,434,926,832,637,214,283,415,413,445,
320,390,722,795,420,305,025,149,267,991,440,166,243,761,558,192,713,197,129,
249,658,634,093,944,856,996,729,133,151,458,758,323,261,176,569,577,245,287,
406,975,233,327,555,352,027,319,061,263,243,333,720,842,770,708,772,488,844,
033,767,670,699,640,133,150,287,006,075,094,549,342,549,456,081,198,775,555,
510,687,506,377,840,542,627,343,527,316,365,844,921,361,586,386,451,778,296,
586,794,961,859,522,437,242,628,893,601,680,205,409,357,641,925,234,523,418,
360,092,377,938,582,005,749,723,342,817,567,230,775,231,957,429,665,626,426,
171,497,131,964,751,336,611,766,365,406,770,882,591,652,706,224,937,278,140,
121,910,506,775,838,580,531,678,887,522,493,465,930,052,238,951,606,691,395,
088,137,252,710,192,110,196,931,040,025,036,222,139,868,072,054,936,951,361,
299,603,235,782,734,056,503,551,440,623,248,580,534,451,783,483,787,124,830,
198,034,542,547,639,733,243,170,409,566,400,859,554,398,742,597,900,145,187,
220,499,128,492,114,403,889,446,348,771,353,539,768,612,955,229,287,369,632,
581,274,658,722,680,969,860,983,479,030,711,328,891,845,096,772,520,716,897,
477,554,246,465,399,480,720,182,260,071,980,881,004,231,519,479,128,324,536,
645,805,136,173,497,426,368,913,804,762,206,589,741,214,333,380,054,770,565,
887,708,075,843,459,621,287,868,499,456,860,358,934,817,511,519,945,962,877,
985,707,288,023,377,943,641,657,511,596,606,678,243,020,755,105,605,401,575,
220,929,554,497,745,999,226,872,357,775,573,279,775,524,709,685,651,785,133,
301,327,598,666,069,928,822,102,284,391,484,101,384,610,394,621,423,681,509,
505,287,675,937,263,622,713,025,263,391,828,874,763,976,117,583,301,933,163,
429,556,090,791,377,505,496,320,642,216,819,126,745,606,919,904,267,714,572,
931,963,148,637,342,062,612,216,979,592,280,111,966,486,711,858,240,793,034,
615,999,572,596,974,269,837,304,509,471,590,681,940,272,759,006,093,458,877,
758,857,749,130,562,123,895,491,291,228,444,124,260,922,740,455,468,228,586,
896,204,534,752,967,555,975,199,533,841,709,611,653,012,553,452,896,476,490,
442,302,174,466,680,616,051,536,512,131,891,256,020,055,685,326,740,109,832,
491,386,546,165,037,972,639,998,955,916,249,160,533,169,341,163,414,462,450,
650,440,455,369,275,656,552,295,198,044,343,597,889,387,349,698,712,129,343,
813,238,289,570,169,351,752,520,973,589,349,311,262,596,416,160,263,374,848,
538,112,402,117,876,781,787,363,818,698,937,189,861,287,407,132,884,713,047,
154,830,559,641,979,436,855,803,134,518,631,188,210,386,702,683,911,996,066,
190,303,009,699,488,709,256,933,628,789,882,433,045,275,497,173,560,484,152,
596,916,330,515,028,929,285,695,855,507,799,333,746,988,355,707,341,534,766,
318,745,232,065,987,676,325,848,998,973,612,592,638,734,679,973,275,558,067,
085,765,334,123,748,878,769,762,316,650,010,996,827,440,234,806,073,138,207,
532,274,513,022,127,112,541,682,025,922,003,262,960,259,959,245,121,093,862,
919,043,708,299,414,406,293,486,703,320,168,211,979,331,373,165,300,092,140,
369,003,899,208,035,415,375,244,655,161,788,496,296,120,842,451,080,284,404,
823,399,513,809,440,146,523,747,160,310,807,810,116,050,117,598,364,100,284,
733,317,712,144,758,844,373,197,107,113,196,473,798,458,942,839,650,014,975,
134,684,538,628,363,741,804,494,431,669,862,469,226,633,852,214,792,234,756,
578,480,723,210,566,893,512,131,280,082,490,508,695,858,073,415,077,202,159,
094,462,765,933,155,132,514,714,333,704,035,439,406,176,040,357,464,195,692,
010,378,054,871,581,918,989,903,722,942,103,225,833,103,991,256,948,136,557,
273,307,757,762,856,093,707,699,895,593,028,762,086,063,761,368,746,901,018,
863,517,859,768,094,329,755,513,848,849,545,502,409,345,043,659,893,557,937,
207,928,466,684,038,015,202,513,611,001,618,340,476,027,850,217,932,980,022,
338,110,895,841,011,615,787,879,534,121,336,877,396,250,667,062,474,518,715,
768,316,568,430,507,982,041,386,224,121,271,730,825,366,805,338,923,194,168,
679,557,039,400,288,094,974,903,007,744,749,337,061,616,915,152,685,615,657,
587,578,814,946,728,417,142,503,441,839,193,005,025,612,439,098,669,609,346,
817,050,637,731,651,803,198,687,750,984,866,242,790,956,298,785,417,690,674,
270,126,854,146,125,108,211,527,877,493,973,317,463,302,327,183,861,476,263,
840,394,195,361,322,255,306,433,189,048,924,834,123,913,297,890,230,347,879,
658,434,366,720,235,162,941,118,135,287,471,078,883,668,446,041,137,748,570,
635,755,744,439,755,407,179,627,614,829,945,629,987,301,663,672,202,516,430,
731,166,695,535,140,626,819,631,006,549,846,291,982,193,506,560,286,491,744,
192,783,378,301,455,504,119,351,106,198,710,336,721,940,899,150,584,736,850,
582,271,543,378,336,480,768,294,600,564,084,828,219,604,793,219,440,757,980,
399,615,285,694,906,551,155,015,310,892,159,493,088,328,740,749,037,458,669,
905,785,746,474,799,701,257,742,064,970,856,433,365,030,162,843,164,697,212,
339,377,575,258,625,342,000,952,113,870,552,016,624,017,579,820,487,270,110,
197,943,451,984,314,622,299,566,000,934,362,589,248,696,981,000,389,243,658,
239,018,007,431,066,518,728,796,769,172,109,086,634,045,956,127,563,480,276,
204,948,065,565,824,849,332,531,296,521,861,012,968,065,857,639,278,497,945,
516,390,597,073,188,096,344,214,028,600,099,386,961,597,119,640,075,880,728,
279,656,405,075,652,048,947,747,772,480,510,123,101,996,997,070,162,121,511,
224,733,465,974,788,534,668,842,186,483,080,754,686,290,446,872,864,987,144,
673,825,638,915,106,684,490,404,056,683,522,339,990,797,296,864,554,747,086,
057,837,755,131,519,802,565,704,582,069,370,458,522,480,393,858,338,924,541,
733,285,640,748,284,001,639,799,456,617,821,285,482,247,922,433,339,837,245,
359,346,012,912,367,542,748,581,169,948,490,156,777,994,077,716,843,611,293,
890,491,374,346,108,516,365,508,497,372,010,925,250,405,553,109,850,476,095,
985,356,469,082,295,352,202,851,251,612,247,570,119,963,069,281,064,185,523,
119,951,784,560,191,659,350,732,217,645,242,631,621,783,876,888,526,197,361,
906,860,721,933,535,973,189,215,995,001,490,516,712,979,048,604,866,831,314,
902,912,764,986,037,880,729,483,024,436,206,111,165,063,024,323,436,773,427,
124,843,235,635,828,572,170,934,204,318,192,849,597,242,300,027,506,357,421,
835,744,379,605,872,677,118,421,123,680,877,151,876,869,461,517,230,472,655,
065,561,627,048,021,995,886,734,015,942,233,649,546,656,688,551,544,630,589,
984,630,102,699,633,600,691,150,732,043,168,310,814,564,330,201,821,712,744,
946,799,351,651,038,521,808,074,605,965,818,979,641,721,505,758,071,809,017,
477,180,830,700,300,291,789,434,564,074,196,581,056,704,050,390,601,517,589,
680,286,632,958,740,885,559,186,693,445,968,552,120,880,244,434,672,379,495,
392,879,587,087,964,857,293,448,152,518,817,342,972,911,047,824,737,983,319,
757,385,175,472,464,183,647,982,143,242,989,511,972,370,529,529,416,523,299,
763,122,667,889,134,137,037,995,453,785,340,653,821,924,899,922,844,086,774,
821,722,024,772,580,107,057,797,920,985,093,498,453,523,997,078,336,447,384,
306,853,437,695,558,432,320,940,333,495,287,151,175,760,272,534,956,416,690,
192,183,268,510,425,530,258,385,424,489,485,731,789,874,006,518,051,294,841,
720,968,958,021,449,681,086,941,582,889,009,343,497,187,078,598,429,474,362,
952,433,537,175,131,691,434,278,887,439,019,349,373,186,298,477,379,177,478,
075,614,176,873,990,537,767,651,361,945,769,834,088,768,589,262,761,322,486,
053,294,498,390,485,123,041,915,294,575,502,121,853,697,922,456,902,082,089,
039,884,720,114,192,723,873,421,840,004,458,202,062,975,602,057,903,562,161,
057,264,113,912,511,345,764,632,100,481,971,928,965,657,897,943,248,049,425,
899,418,288,088,899,069,147,055,015,882,874,167,431,183,413,453,446,308,697,
809,593,803,652,662,754,371,091,637,481,831,233,349,177,703,597,947,186,427,
993,365,025,967,011,417,461,885,857,233,205,143,063,085,668,481,132,393,451,
803,538,720,006,995,128,547,173,780,081,782,387,506,370,451,853,974,577,205,
937,506,090,201,969,331,280,048,782,134,102,898,872,760,223,872,475,280,184,
934,216,945,735,516,846,191,395,626,983,439,340,620,399,955,878,654,398,980,
029,262,343,381,581,695,712,495,793,666,909,914,602,504,485,145,516,283,816,
080,539,708,184,636,169,121,792,130,333,749,629,298,559,362,109,098,393,236,
586,421,667,416,364,918,008,818,001,751,225,792,318,148,063,298,223,517,892,
224,782,082,558,038,143,989,170,403,227,153,430,942,340,033,493,154,882,467,
672,102,259,235,999,295,131,430,471,463,594,504,605,577,550,906,390,190,146,
710,693,209,671,935,060,276,539,462,269,782,020,918,496,115,980,396,847,778,
761,598,755,063,029,024,433,724,308,793,007,517,868,098,402,845,816,193,631,
380,818,194,346,051,951,483,602,163,839,029,360,249,146,345,185,572,512,128,
785,667,943,172,017,852,137,524,821,885,922,107,843,928,535,177,364,983,642,
683,776,762,757,692,312,378,455,866,173,549,187,043,784,260,698,896,508,698,
909,933,002,731,553,129,585,564,594,252,847,391,240,404,643,643,359,994,129,
558,521,309,070,007,227,520,439,845,588,228,417,565,672,803,622,316,083,022,
764,380,962,338,358,320,416,275,607,356,412,258,033,862,208,538,007,183,911,
522,441,313,176,781,302,348,717,765,374,600,060,735,270,483,685,667,992,785,
025,203,434,884,261,935,049,176,424,298,318,601,283,330,037,086,692,082,579,
719,884,496,398,495,328,301,943,457,511,249,327,258,127,184,349,140,194,928,
543,065,536,065,147,286,072,249,047,740,595,754,247,833,383,096,826,875,518,
022,432,364,513,347,730,132,682,567,060,048,205,119,498,027,303,650,135,374,
665,411,468,931,072,489,229,877,652,941,348,583,148,002,952,016,296,472,992,
205,058,873,171,452,148,573,703,050,078,402,016,608,004,290,950,385,534,149,
152,375,336,350,054,786,766,039,501,364,503,952,244,264,406,648,251,839,737,
783,812,598,825,751,830,144,075,532,509,561,245,699,788,530,487,779,367,196,
127,227,733,550,888,252,280,671,144,088,122,474,779,188,550,713,354,021,087,
936,193,429,505,880,603,045,475,090,871,487,989,099,508,996,660,642,807,041,
454,699,943,043,423,076,352,069,185,793,515,099,736,584,431,683,018,785,222,
351,030,382,433,713,417,654,934,674,686,429,007,194,977,277,779,511,454,990,
252,146,139,821,161,474,953,478,033,724,294,053,605,958,278,217,078,532,805,
288,402,727,313,604,127,596,004,933,408,731,573,270,889,942,257,530,712,248,
939,994,295,895,130,270,236,489,279,678,766,279,122,359,281,277,786,199,924,
964,438,000,480,852,825,064,420,909,666,007,511,208,980,730,695,659,487,635,
591,074,312,553,307,949,515,408,446,886,147,866,904,090,594,819,720,808,959,
015,449,424,033,673,934,089,903,155,374,594,075,670,804,247,037,985,694,673,
715,736,281,935,021,374,801,802,250,473,692,301,968,367,387,083,384,025,800,
909,328,837,367,090,871,057,331,244,396,208,166,399,197,502,562,731,574,928,
216,150,471,335,981,056,520,516,534,826,731,143,564,504,828,739,545,222,074,
143,167,388,151,271,118,771,742,181,162,202,825,097,676,665,807,079,076,492,
047,742,562,511,466,701,169,740,148,327,014,634,843,829,764,883,805,932,547,
595,477,190,557,386,510,151,301,816,253,602,668,357,532,672,266,131,544,334,
960,324,087,214,769,504,441,485,656,152,443,868,264,733,760,949,585,594,788,
489,024,526,111,403,227,072,782,326,465,237,850,093,008,909,807,416,037,367,
187,635,616,130,800,635,904,776,098,399,647,338,321,489,091,724,083,618,158,
403,160,461,177,559,949,904,140,613,179,212,806,448,974,038,921,097,328,039,
694,006,817,125,168,069,419,933,334,819,424,925,594,471,709,256,757,149,307,
004,156,659,564,550,894,358,041,700,349,071,194,012,781,827,031,821,364,565,
420,981,779,377,352,545,490,305,415,211,297,553,319,106,017,190,389,270,549,
052,870,111,436,894,875,851,886,046,662,544,456,971,832,211,649,664,038,517,
105,866,512,396,714,403,701,106,860,273,002,209,671,940,652,127,511,614,561,
989,165,742,988,771,701,483,754,718,097,622,619,487,197,075,191,368,669,734,
128,970,255,565,740,706,155,781,223,951,020,522,079,659,998,556,554,498,662,
486,877,722,136,948,209,862,063,834,985,170,073,079,877,053,334,868,398,957,
715,162,207,517,322,140,137,671,775,088,749,757,305,063,408,746,065,344,257,
613,166,390,168,335,785,437,380,138,216,329,296,523,226,245,603,577,212,046,
409,331,008,609,784,136,544,776,014,171,256,477,339,298,545,255,479,360,508,
786,303,082,182,056,584,907,444,622,467,015,482,434,163,389,208,812,471,001,
269,855,272,215,640,254,788,594,918,700,737,319,618,165,146,312,438,003,294,
149,961,662,377,238,367,978,111,175,155,245,335,345,523,117,555,959,328,908,
565,329,962,518,074,157,811,098,562,201,906,510,502,672,062,264,022,931,998,
189,186,372,046,754,774,175,870,803,761,113,165,115,429,451,656,852,130,431,
888,328,951,309,383,769,371,433,167,855,654,913,014,289,394,565,411,608,013,
700,996,848,835,014,654,924,206,679,809,628,696,659,880,407,638,126,913,465,
220,745,384,557,025,067,925,895,639,128,330,281,441,065,099,480,933,172,214,
452,217,265,825,546,152,871,830,146,269,395,444,900,691,574,134,857,565,302,
043,626,935,872,797,085,817,252,042,815,414,557,947,310,894,596,915,415,959,
050,072,578,082,706,734,364,513,610,339,355,632,651,982,957,454,749,500,311,
685,594,417,425,401,547,369,045,054,598,127,164,939,606,221,110,778,089,191,
707,021,242,783,670,495,170,623,400,655,719,513,748,044,069,662,938,225,642,
794,238,784,417,270,720,508,563,431,042,885,916,892,993,632,694,353,774,637,
004,181,829,783,547,568,763,381,910,831,605,728,251,462,475,381,928,943,212,
741,747,755,102,791,042,404,721,142,211,363,679,566,726,094,028,531,224,863,
524,524,732,939,212,188,820,639,998,981,832,379,676,588,685,375,098,386,627,
458,098,375,529,070,516,128,628,531,845,834,512,025,222,958,545,265,999,570,
988,164,008,639,242,350,700,096,834,810,476,361,990,398,572,363,182,955,245,
957,692,855,120,900,985,545,392,779,772,467,420,549,113,773,921,457,806,216,
172,109,282,083,385,952,036,794,403,015,763,643,260,522,520,716,651,493,702,
340,135,922,392,870,965,061,533,459,796,600,299,923,139,194,344,701,946,086,
414,219,806,241,559,185,987,107,772,731,441,831,584,761,794,510,044,062,701,
098,551,209,577,049,914,190,297,661,394,119,815,819,222,071,323,108,074,746,
683,105,499,153,222,574,937,234,161,560,177,570,079,377,613,295,985,202,143,
520,140,555,111,510,125,113,443,581,128,754,667,266,734,600,105,165,602,527,
759,015,425,077,704,493,527,182,999,671,825,832,025,969,443,132,505,106,181,
711,338,809,481,868,312,673,048,025,063,617,019,003,702,538,403,704,422,147,
899,034,026,612,867,003,886,041,349,130,520,248,714,431,177,837,585,904,002,
188,646,503,288,751,474,785,940,379,759,359,512,235,429,726,932,774,631,858,
954,376,733,745,218,890,299,005,150,100,482,580,605,247,888,108,548,885,365,
068,875,595,678,294,326,430,005,309,961,669,209,714,272,920,824,423,471,113,
935,773,539,593,392,798,226,813,273,325,896,499,854,897,985,469,381,912,483,
021,191,212,208,118,616,219,746,243,071,485,508,766,543,667,325,861,704,138,
823,572,886,208,377,235,969,370,143,605,812,260,956,754,165,110,279,391,718,
812,934,189,800,513,168,829,029,629,470,407,973,692,831,876,577,500,997,443,
607,537,021,346,626,020,315,314,745,865,311,106,383,158,768,180,321,820,838,
864,336,355,707,036,930,186,960,553,534,635,381,057,084,664,961,559,879,203,
461,654,156,929,837,712,112,270,028,382,350,101,292,789,341,123,268,196,130,
457,539,792,373,805,253,443,711,892,272,563,685,825,373,026,505,827,121,537,
271,348,315,690,775,101,704,826,837,614,541,245,291,381,924,530,373,243,875,
657,379,216,736,063,735,320,287,292,729,557,280,678,790,796,499,596,535,267,
672,455,159,784,063,073,899,168,247,503,944,264,759,603,640,728,287,242,899,
913,277,307,754,068,219,016,576,762,729,984,806,366,746,215,478,462,356,636,
874,528,561,125,043,733,798,635,966,742,192,059,209,219,280,731,203,185,256,
809,443,679,391,188,325,089,168,113,612,940,043,551,592,418,442,484,384,590,
454,919,031,191,635,315,570,360,403,134,250,370,712,690,656,391,611,290,459,
825,790,461,370,392,071,677,091,658,861,979,159,239,188,781,227,080,726,051,
831,997,880,876,100,881,863,928,681,739,941,785,421,749,972,036,045,549,478,
632,037,316,490,712,900,030,101,835,806,759,996,029,229,282,463,288,724,639,
016,619,188,159,332,454,571,885,202,675,283,452,345,628,147,772,915,156,205,
694,647,554,395,587,225,290,666,805,895,315,872,243,053,212,255,095,378,066,
585,357,503,496,524,702,697,174,804,004,281,403,035,158,494,029,023,346,145,
861,101,021,821,937,158,306,393,042,805,817,088,020,536,721,782,950,880,305,
261,135,323,418,120,017,728,149,455,229,044,388,252,023,580,542,135,062,809,
871,279,825,471,482,013,335,888,407,033,421,698,536,673,805,614,730,617,406,
739,262,699,478,068,552,383,830,256,628,987,933,430,502,642,288,444,188,244,
799,753,541,205,045,858,776,849,457,863,330,171,909,473,122,821,073,207,718,
532,063,208,056,002,192,410,028,628,447,829,088,987,882,522,934,935,240,581,
440,062,790,838,680,935,298,681,422,008,433,115,659,019,762,853,791,046,819,
032,984,871,257,175,869,179,304,707,513,467,751,857,308,813,399,976,825,229,
171,144,981,349,366,894,094,387,274,097,869,452,757,300,257,287,732,860,449,
807,144,070,057,994,438,290,591,997,982,567,108,204,896,064,268,143,164,280,
732,724,490,183,007,542,448,537,690,661,695,810,030,381,728,883,331,400,552,
212,155,794,010,194,056,237,498,602,038,871,214,022,657,198,964,788,588,221,
969,505,900,551,934,263,610,175,049,297,654,148,387,203,485,706,600,353,971,
590,723,324,687,618,581,122,698,820,737,164,634,615,574,412,524,807,977,614,
393,493,139,159,081,858,412,024,242,118,329,514,829,210,077,555,014,861,764,
254,694,487,471,716,404,075,181,853,060,045,882,948,112,789,516,430,383,793,
815,447,151,026,014,993,904,774,593,903,013,844,268,567,714,363,347,922,406,
937,328,864,008,374,554,719,144,731,028,896,742,558,413,090,916,716,988,272,
057,048,292,688,505,471,145,937,358,276,248,469,891,311,414,443,114,921,998,
460,672,806,984,073,998,132,642,414,886,479,536,401,408,001,738,662,563,911,
326,778,006,294,749,559,579,429,179,032,909,248,864,801,144,632,729,873,340,
480,866,191,012,876,013,142,115,059,188,000,735,961,970,335,184,281,355,396,
481,542,668,673,269,356,829,333,251,040,086,091,625,011,752,136,697,217,174,
102,996,046,249,110,093,798,199,336,857,685,357,879,219,663,325,909,940,725,
504,377,432,289,099,961,852,553,472,895,364,845,574,959,375,135,845,562,844,
872,114,719,853,024,773,196,337,163,663,874,671,785,706,081,483,661,982,315,
392,058,055,974,210,925,678,091,960,125,610,314,106,736,940,055,951,840,918,
225,204,055,974,480,115,682,353,575,338,566,796,355,852,608,166,391,431,730,
414,311,816,003,862,476,601,878,478,561,093,142,389,797,105,480,994,034,244,
541,120,989,411,452,224,201,059,580,637,324,184,524,594,517,956,607,022,808,
284,085,234,258,009,691,561,575,700,973,058,567,284,886,513,171,201,097,980,
479,475,035,738,362,344,809,127,091,896,485,469,565,579,964,112,760,184,594,
298,980,592,868,795,599,622,149,463,773,524,622,930,100,438,342,000,990,245,
455,774,558,999,350,780,491,379,169,477,703,519,269,370,327,787,431,780,988,
958,200,620,525,461,564,137,584,129,750,197,627,968,044,028,081,557,769,573,
259,295,662,567,758,684,309,712,141,448,637,314,328,653,334,753,716,781,958,
066,184,766,255,920,264,355,044,657,579,418,229,486,464,562,895,095,829,409,
233,157,702,398,264,212,732,571,439,715,302,715,157,970,655,846,876,816,427,
861,442,211,383,697,345,496,258,073,708,572,496,975,915,958,957,078,769,935,
859,000,525,472,335,982,955,256,131,508,657,351,742,509,271,544,606,859,982,
459,078,251,155,658,297,142,115,136,296,509,048,248,567,739,565,820,840,882,
955,207,070,538,853,792,775,362,006,933,970,327,059,038,639,925,388,510,657,
218,414,592,099,663,273,198,332,839,279,462,754,980,262,448,251,095,187,232,
547,984,015,577,978,974,745,882,910,341,037,575,455,164,870,702,538,573,187,
411,924,379,797,687,456,329,317,273,783,932,063,699,862,695,847,835,778,907,
705,103,831,879,413,973,537,202,526,345,695,490,962,097,583,823,779,813,597,
727,860,814,100,181,816,286,180,065,469,733,708,409,427,533,815,509,571,329,
793,551,054,943,523,276,853,524,103,922,504,226,272,326,162,729,558,215,956,
037,304,918,968,737,907,815,232,563,874,576,660,258,879,750,560,411,122,968,
989,480,892,793,673,497,355,757,002,558,589,119,341,967,312,701,175,166,600,
554,374,211,397,230,470,125,891,165,424,017,056,120,470,172,212,589,478,842,
835,120,384,366,310,608,746,672,060,018,848,956,022,451,395,647,139,071,325,
821,212,457,225,247,128,454,123,757,086,420,326,424,312,334,625,794,990,826,
522,883,449,904,428,411,825,916,635,024,988,579,972,000,659,350,007,180,512,
035,852,077,523,190,882,892,532,775,943,003,955,047,762,081,601,617,822,527,
145,405,723,990,555,542,322,249,351,268,842,793,433,170,906,301,005,960,450,
717,635,435,308,640,043,085,286,766,827,518,266,568,712,052,003,353,349,805,
992,846,218,187,859,734,762,637,488,104,626,305,158,672,556,220,477,131,424,
185,630,383,662,478,638,608,092,287,422,336,684,751,136,614,118,669,058,443,
125,879,596,062,139,836,326,976,357,156,545,212,884,755,327,472,409,079,369,
991,973,461,945,319,275,535,597,374,465,401,808,496,246,660,669,094,640,132,
148,634,340,581,215,366,723,870,481,528,212,073,850,035,070,760,802,011,889,
851,367,590,836,138,179,202,604,177,990,350,455,822,334,649,653,806,466,024,
511,030,793,618,242,331,328,966,160,895,413,947,578,423,723,994,878,007,883,
313,755,036,457,283,747,195,325,332,283,667,920,716,356,032,660,156,339,513,
321,293,920,867,387,998,878,295,773,006,689,430,458,694,694,640,779,571,135,
388,580,536,357,567,968,892,339,156,251,944,097,382,906,590,797,229,035,997,
954,226,515,667,109,874,914,136,851,129,971,854,131,591,514,821,795,298,247,
384,904,857,512,413,134,247,174,467,938,473,997,410,760,732,894,454,453,633,
232,408,385,782,792,025,306,502,692,031,925,728,675,677,164,328,358,862,355,
019,576,057,080,288,662,089,173,602,754,371,325,382,728,206,330,133,474,020,
076,784,209,426,028,500,109,362,833,043,338,160,549,707,757,463,548,896,646,
642,543,947,328,037,645,681,453,051,474,189,001,290,113,660,217,802,535,199,
253,268,166,207,880,075,315,177,363,904,950,323,589,639,910,920,833,566,600,
748,424,774,909,048,930,380,543,869,594,393,082,797,781,812,081,269,847,706,
988,985,598,093,985,171,272,409,165,343,258,690,238,302,438,262,348,391,799,
626,144,543,649,824,402,136,448,618,856,125,709,317,686,082,676,186,778,350,
143,436,216,279,561,278,480,034,618,720,017,088,313,608,327,619,833,312,282,
286,200,724,394,732,501,413,367,369,776,831,106,767,578,749,653,577,994,683,
827,600,042,840,170,910,736,992,055,921,724,775,864,024,993,690,240,458,192,
411,120,019,705,076,990,700,021,758,774,026,974,692,113,830,466,613,270,137,
571,427,342,061,949,310,146,547,630,519,641,069,242,241,234,678,683,408,704,
286,617,254,741,932,894,752,602,600,227,808,473,342,346,093,113,192,303,025,
998,742,542,437,001,330,176,482,864,781,724,326,989,750,301,831,286,991,486,
143,853,648,767,567,413,766,988,032,951,011,336,907,301,965,399,200,053,320,
143,697,650,022,328,475,281,693,563,020,131,022,522,932,972,605,277,143,636,
166,386,548,357,039,922,894,982,171,309,724,529,931,701,487,836,892,734,129,
202,028,027,091,540,329,045,202,500,823,934,291,673,895,590,436,720,867,493,
464,164,391,323,456,561,104,761,010,432,364,048,660,738,109,518,571,275,255,
692,192,787,509,135,820,596,707,473,887,771,082,750,537,095,989,064,607,192,
711,969,621,827,503,298,094,775,201,491,152,913,778,756,758,796,237,065,619,
390,336,700,591,990,134,740,203,831,347,320,717,127,573,644,186,865,341,775,
447,315,029,994,203,443,534,682,062,521,187,723,724,745,540,950,366,854,250,
919,567,409,371,948,940,216,274,292,341,022,699,040,851,480,091,818,372,732,
408,927,412,549,115,999,331,201,595,040,240,081,058,242,438,031,878,865,143,
105,783,987,187,941,215,614,119,089,860,189,610,067,109,971,638,902,948,131,
120,626,633,099,936,444,600,804,492,575,731,386,702,218,864,961,166,011,913,
168,787,732,589,388,984,734,666,599,140,084,210,312,455,405,527,568,748,508,
141,755,951,890,789,187,259,890,353,116,120,515,864,199,819,495,188,369,282,
370,405,822,394,148,382,673,674,951,547,918,842,534,602,215,024,620,275,367,
202,003,135,680,583,061,754,036,998,449,436,870,324,520,217,505,679,994,953,
408,486,965,264,835,035,152,738,199,587,284,721,255,868,999,077,980,070,660,
124,169,871,697,010,470,351,334,988,154,393,638,329,699,721,940,814,757,929,
588,616,141,719,969,732,917,384,704,295,327,154,764,867,770,565,533,821,455,
382,892,919,067,476,679,863,587,500,093,370,020,991,556,564,191,932,760,153,
092,681,454,393,484,488,214,099,271,463,193,791,222,750,652,168,784,456,806,
218,635,653,497,064,302,853,507,982,477,834,146,130,086,404,904,279,368,617,
405,376,997,988,100,704,319,424,828,237,121,447,279,252,678,568,602,428,458,
365,358,226,872,468,805,240,008,856,806,081,618,130,933,357,944,946,404,822,
412,220,294,509,454,645,439,486,383,100,620,138,899,126,810,715,213,622,930,
491,116,375,944,925,369,649,816,967,141,087,497,061,229,416,897,334,771,441,
443,457,171,041,447,338,438,066,502,192,373,074,862,661,052,551,637,631,915,
145,384,545,304,276,514,273,700,345,447,576,270,910,560,674,113,799,992,898,
558,000,805,099,804,180,981,628,226,630,481,234,573,264,063,588,143,648,383,
257,395,825,284,996,963,553,923,142,561,056,873,400,125,637,972,234,562,272,
292,374,156,855,549,690,405,958,979,359,124,344,549,281,394,161,503,924,911,
282,763,641,448,194,130,067,682,229,265,928,300,524,769,699,113,148,253,684,
028,237,162,525,508,057,554,956,269,245,757,422,323,165,471,390,017,231,042,
778,453,995,516,952,556,047,236,499,075,732,188,757,737,346,615,130,058,853,
553,070,672,611,544,249,159,794,990,562,301,648,910,626,331,323,506,447,369,
693,277,442,199,715,953,961,327,021,507,212,937,573,884,375,940,367,414,801,
524,478,684,590,404,183,124,174,343,479,634,995,530,797,218,955,657,972,651,
080,793,801,957,703,432,473,938,852,460,423,182,162,104,796,502,718,038,511,
017,267,310,669,694,036,076,968,905,141,285,353,477,781,766,635,334,465,648,
098,553,688,211,683,737,230,512,480,519,256,507,585,994,156,620,777,364,040,
095,176,657,930,036,317,921,909,954,960,108,283,081,322,513,422,953,230,888,
147,078,471,201,715,454,899,507,313,827,385,652,470,657,680,346,391,105,810,
090,905,260,897,658,803,175,937,556,645,069,128,438,510,907,134,078,611,469,
563,245,846,795,496,119,620,920,759,722,633,970,842,653,574,192,394,481,761,
187,306,974,371,357,380,136,006,649,757,517,034,541,512,365,679,656,879,016,
121,415,743,614,106,617,615,706,124,013,776,248,602,001,094,313,106,305,924,
818,036,701,410,743,240,539,037,417,356,516,662,412,145,897,679,921,899,641,
688,594,879,518,938,202,054,530,921,017,113,405,548,582,917,253,027,631,547,
332,460,425,471,030,523,731,054,044,381,197,919,149,083,583,544,353,836,183,
287,515,663,044,823,361,221,202,604,967,937,386,441,141,888,979,283,092,183,
880,155,218,512,557,198,655,046,592,500,891,053,950,641,962,712,639,285,746,
775,519,408,608,934,726,033,690,951,472,785,422,758,785,204,663,526,500,945,
134,431,996,399,246,507,041,112,291,223,874,750,793,388,254,433,233,478,199,
237,310,886,982,031,032,307,117,964,973,774,801,305,234,343,526,680,987,368,
839,340,329,373,463,265,963,291,184,838,540,748,961,236,313,531,098,320,104,
092,409,571,306,016,066,449,218,349,485,141,417,641,969,340,447,665,600,016,
182,800,137,268,430,792,693,983,836,904,256,236,026,461,099,893,682,725,973,
655,131,844,385,201,608,888,061,109,799,933,352,164,693,943,768,657,471,139,
280,844,428,442,674,329,123,185,728,644,420,482,661,265,337,076,753,800,462,
274,881,760,812,199,672,068,285,817,084,996,807,099,593,320,553,582,963,615,
464,285,075,093,926,247,978,168,392,263,290,541,395,347,063,500,892,343,108,
770,604,031,486,482,411,972,880,462,840,698,374,348,299,631,012,914,553,510,
416,993,114,413,114,231,017,994,209,736,009,835,495,071,862,924,663,598,644,
125,514,925,126,077,468,604,312,001,624,540,985,853,072,395,096,344,779,836,
791,389,027,586,272,388,843,774,486,227,501,548,338,968,928,268,269,625,956,
212,719,337,485,458,036,617,810,889,588,363,506,051,435,790,236,912,820,249,
909,932,721,996,260,187,702,399,289,843,888,037,008,687,499,343,342,925,446,
695,370,259,408,258,287,960,107,689,245,292,635,512,532,802,143,245,435,274,
958,968,409,450,001,912,288,064,147,082,946,893,271,468,333,645,828,277,121,
647,102,236,291,824,835,413,388,605,821,712,423,326,149,030,903,778,065,244,
188,016,366,863,315,964,190,033,059,882,930,370,310,890,968,686,205,748,793,
774,006,960,830,850,511,945,495,277,573,596,016,450,274,892,187,246,782,594,
423,826,094,673,027,764,353,071,680,095,021,601,933,805,362,543,929,583,132,
040,126,366,819,219,373,237,990,284,122,941,879,771,050,258,498,784,906,125,
245,198,082,625,953,684,902,620,055,213,862,600,200,809,192,363,758,518,774,
365,996,462,399,827,356,039,944,239,000,298,710,390,618,895,815,481,871,269,
016,404,758,609,780,629,235,473,948,546,185,405,168,221,140,042,117,531,324,
331,385,149,980,562,149,411,503,901,177,685,539,181,686,882,444,218,763,834,
767,675,726,677,719,118,035,826,086,137,889,453,105,430,911,746,397,319,438,
475,436,445,606,920,039,776,857,904,499,881,004,930,561,705,428,009,903,141,
010,015,862,582,475,215,116,933,026,292,277,564,700,550,111,757,418,605,524,
821,236,707,849,331,831,135,058,701,951,559,623,701,253,225,528,001,744,092,
549,574,145,897,767,454,925,402,365,522,379,689,925,903,781,669,942,605,810,
240,870,555,635,454,001,904,612,068,211,581,605,062,649,909,431,259,833,601,
098,487,632,804,075,387,239,702,368,530,672,287,963,124,603,423,541,586,749,
341,040,071,007,073,904,675,759,747,315,778,181,966,928,620,864,865,500,592,
422,810,340,915,491,956,349,446,738,760,482,993,138,462,095,982,610,038,069,
674,750,212,305,227,497,493,892,824,219,628,227,378,026,622,828,394,091,580,
416,909,210,374,951,818,607,288,117,770,957,449,936,985,507,258,128,614,390,
260,831,132,285,275,915,185,527,652,205,884,991,869,012,996,252,287,733,337,
770,273,343,200,036,667,638,314,762,284,834,323,645,121,251,260,756,610,039,
988,008,686,566,976,978,791,731,558,625,876,189,500,223,664,021,088,481,744,
344,459,081,731,631,223,172,572,636,066,483,201,158,004,239,423,393,555,861,
170,613,327,937,758,271,622,317,689,745,338,321,736,139,361,498,572,683,041,
387,738,904,392,312,252,829,310,403,616,946,466,960,259,878,455,639,517,592,
441,388,270,464,623,947,641,867,905,584,909,397,227,494,122,120,239,616,776,
237,842,637,489,937,062,247,329,832,467,896,240,849,837,433,246,392,240,212,
495,062,376,937,823,371,589,775,708,005,986,643,823,684,191,507,988,159,786,
029,149,789,813,748,920,533,632,158,250,501,345,920,882,418,672,601,080,780,
324,928,185,245,202,924,048,223,648,842,776,761,040,775,614,226,917,300,384,
851,814,383,295,317,062,207,693,147,418,233,222,005,976,892,555,126,578,418,
072,698,520,637,966,051,397,651,729,819,537,526,595,727,315,543,115,159,955,
272,315,785,717,663,059,504,400,592,017,458,535,645,663,179,185,083,270,011,
644,502,998,398,068,777,687,057,117,357,578,585,577,405,687,293,610,627,483,
881,693,552,046,928,747,752,418,373,276,565,181,109,526,007,814,720,779,452,
509,199,349,694,353,622,649,575,747,509,810,051,396,111,319,845,972,369,116,
785,137,844,161,456,861,035,842,097,453,603,920,067,413,686,081,846,709,350,
126,614,548,330,803,119,990,753,347,691,618,940,127,165,407,402,043,558,993,
096,594,950,292,237,326,677,113,532,712,662,781,341,642,225,497,560,610,694,
647,600,733,680,760,717,169,047,861,251,500,971,824,462,249,644,420,427,789,
403,646,835,308,133,278,919,850,811,543,120,347,004,541,548,654,728,557,841,
294,201,720,919,916,231,610,445,252,960,410,223,107,888,857,687,978,472,892,
536,657,233,942,295,754,289,251,528,327,116,000,562,267,359,225,272,887,914,
685,220,043,810,001,703,341,279,531,848,100,578,002,381,722,832,596,913,396,
471,754,165,100,784,457,608,526,650,923,258,563,539,810,327,456,969,068,484,
742,445,367,790,182,647,266,124,249,863,143,484,299,823,944,426,403,337,262,
090,327,705,878,571,591,168,369,559,687,306,399,331,890,851,517,659,403,917,
910,812,352,123,478,230,014,146,471,910,370,362,472,151,888,927,129,319,931,
542,491,926,312,783,593,548,515,114,506,654,399,566,438,568,729,152,858,253,
770,157,977,814,127,207,072,063,482,298,526,083,359,270,259,722,001,818,682,
347,580,108,395,880,162,576,137,066,269,902,475,324,205,042,590,537,484,777,
525,301,520,409,215,630,968,900,404,521,884,377,347,132,048,133,429,247,311,
299,628,291,668,618,927,314,958,270,022,589,963,633,350,702,251,697,858,034,
893,520,392,583,566,038,487,086,201,363,621,447,519,477,374,474,504,738,875,
534,480,850,891,308,886,444,734,862,317,301,785,111,029,525,490,444,226,729,
429,951,616,006,161,779,311,646,044,738,676,667,429,447,701,469,513,216,675,
198,527,909,027,079,847,470,487,254,021,464,384,664,867,200,908,328,778,091,
671,205,937,369,935,803,124,275,993,966,298,876,167,055,117,021,966,568,097,
496,326,266,162,878,119,497,912,947,860,065,711,268,922,030,596,545,007,656,
364,322,442,683,992,436,678,306,996,323,174,875,125,538,145,625,421,546,764,
760,846,236,456,224,406,187,074,141,939,332,678,056,293,300,526,598,302,123,
152,320,748,397,806,641,972,412,486,464,153,378,770,533,373,936,901,895,903,
962,833,759,772,025,457,807,649,613,169,985,963,299,371,610,745,422,324,352,
870,849,028,205,845,671,807,396,060,118,614,282,006,052,105,486,723,382,375,
386,610,582,272,824,951,956,411,812,726,604,659,352,360,816,202,626,258,820,
554,383,329,956,496,090,760,968,485,814,595,691,167,341,185,808,295,459,899,
278,347,969,344,143,215,861,934,294,006,711,008,060,727,665,946,170,020,312,
308,933,024,802,774,743,277,682,692,748,543,757,135,880,393,236,523,729,021,
433,574,988,133,572,582,515,210,299,691,229,698,179,115,645,179,164,183,739,
507,879,116,107,105,716,571,472,675,751,847,701,530,146,021,462,641,805,034,
341,208,477,817,487,244,333,906,830,499,093,846,264,765,228,037,806,435,337,
926,572,492,586,418,971,530,852,328,764,906,447,091,336,268,371,281,715,410,
340,219,075,039,393,527,559,937,316,238,962,879,121,300,169,913,612,476,637,
341,485,659,649,416,562,899,431,211,267,082,471,506,271,666,795,333,514,286,
758,090,398,269,581,453,113,414,642,586,418,040,927,968,118,583,934,417,593,
836,930,456,037,204,944,154,013,684,369,606,288,552,369,331,924,691,223,599,
922,385,031,356,087,757,695,012,706,356,966,671,573,458,977,710,854,617,025,
626,450,895,868,833,775,140,801,241,226,702,964,719,926,206,182,717,541,651,
310,646,555,965,876,263,218,891,902,733,462,264,798,878,296,423,773,319,904,
859,352,230,668,081,909,876,294,009,896,620,011,680,133,868,697,356,140,128,
381,501,165,087,953,150,719,935,123,841,727,129,800,891,390,794,696,258,117,
700,651,534,911,033,821,144,046,421,002,608,861,169,402,030,354,166,236,751,
936,479,483,741,423,384,520,041,749,470,943,816,177,811,380,155,870,616,865,
083,441,356,856,067,946,288,957,437,967,450,425,686,849,142,694,019,606,415,
914,465,096,869,814,861,453,739,155,557,409,801,686,573,236,156,282,839,443,
445,563,764,783,888,304,830,927,963,849,063,108,659,607,431,192,547,165,975,
892,902,760,717,769,105,446,361,427,599,896,801,193,283,424,684,183,385,549,
969,156,980,239,463,749,201,612,010,059,964,968,883,295,189,761,611,117,823,
252,618,874,556,954,122,177,333,728,200,154,588,440,200,529,054,224,759,138,
061,633,455,207,202,344,343,166,424,521,915,645,629,180,154,256,939,084,903,
363,995,745,337,718,846,142,452,155,090,718,152,722,050,778,809,536,034,871,
157,176,975,171,794,499,794,625,210,975,092,344,375,036,837,187,604,493,207,
791,090,638,089,269,487,887,712,846,777,157,795,495,721,657,539,717,769,499,
281,081,103,232,068,646,500,588,734,875,122,723,530,299,052,867,331,881,129,
191,045,090,834,315,716,051,291,087,930,859,898,603,390,847,728,535,317,321,
157,053,387,782,048,710,337,841,594,601,419,091,332,003,284,515,142,986,156,
168,555,846,443,267,621,384,312,680,268,813,717,432,804,769,293,039,912,213,
293,963,193,663,969,571,762,514,593,368,723,310,385,534,517,476,165,486,195,
232,346,196,169,316,103,219,379,542,664,561,977,609,303,983,312,733,752,404,
189,630,331,491,619,129,299,062,697,539,249,677,989,376,075,107,971,260,023,
415,688,989,538,099,256,146,896,255,557,274,926,696,137,042,036,169,246,760,
628,835,445,436,738,626,608,510,427,150,568,978,663,760,607,104,576,801,939,
772,037,272,617,943,154,626,307,771,303,568,311,127,765,857,699,740,539,053,
653,038,349,947,473,623,075,131,108,168,683,363,627,251,216,120,268,769,056,
603,859,010,878,211,966,413,880,182,880,855,934,499,579,496,003,650,538,332,
730,900,905,716,636,691,357,900,138,269,924,612,968,524,310,170,181,418,812,
032,797,792,453,122,655,109,511,981,768,980,809,115,417,939,097,308,905,249,
930,178,891,419,603,709,554,760,198,186,475,919,011,579,935,214,286,519,945,
689,463,716,483,440,211,815,759,083,193,654,110,954,712,894,875,091,441,016,
382,019,662,909,486,394,858,549,476,227,879,275,909,459,172,651,808,545,385,
575,051,963,625,697,341,936,097,235,194,974,196,278,123,120,574,798,780,961,
624,703,995,911,506,370,054,844,860,885,673,924,244,317,073,575,645,693,276,
843,457,717,390,665,893,933,709,824,015,435,970,259,001,229,506,278,262,789,
906,544,109,282,746,732,596,108,533,424,799,768,051,378,210,039,630,273,356,
343,721,238,476,929,533,561,633,372,360,586,355,927,896,887,267,879,073,439,
122,900,977,274,248,106,225,359,558,997,184,574,101,671,416,727,568,998,673,
515,002,334,310,598,290,494,011,526,981,970,695,334,539,865,834,294,288,372,
472,579,998,770,610,317,138,500,177,424,278,627,068,498,741,549,423,205,242,
093,274,716,453,834,647,207,839,353,755,455,681,196,816,784,286,186,249,444,
923,811,388,265,508,031,727,036,574,652,441,086,632,575,351,645,129,630,827,
959,286,698,288,004,214,327,507,299,857,987,583,122,812,592,133,153,834,554,
117,897,608,709,508,440,277,286,909,900,465,436,028,810,808,163,427,189,160,
466,718,705,138,123,127,472,877,269,203,243,960,789,960,696,236,919,941,873,
402,685,175,648,672,111,376,833,456,579,859,574,272,247,981,861,532,064,211,
475,950,336,279,739,492,518,602,576,717,797,528,102,897,247,445,923,161,973,
091,080,686,441,100,325,936,996,192,193,383,831,363,638,834,488,835,174,302,
602,682,498,599,312,616,966,278,848,771,345,451,101,454,021,511,381,249,337,
611,566,289,243,402,379,159,415,223,448,818,901,982,280,010,270,934,627,933,
027,636,702,237,575,635,729,328,720,038,709,063,329,889,670,107,027,589,250,
138,040,396,712,898,248,601,640,481,567,325,468,857,081,133,689,917,482,198,
765,629,711,691,073,140,870,343,228,778,757,276,935,129,358,482,921,569,817,
498,115,924,954,607,839,187,723,012,091,805,126,743,463,048,143,730,968,374,
148,494,926,079,444,363,365,615,861,530,990,546,375,438,718,187,659,083,156,
134,858,048,396,354,812,244,324,393,954,624,763,145,876,129,234,803,229,216,
095,682,116,378,365,332,205,567,402,708,935,101,768,987,911,209,246,105,851,
795,445,436,653,729,930,592,092,022,416,241,526,874,748,479,864,563,096,576,
528,676,412,242,519,055,487,361,795,835,539,478,734,639,327,425,292,817,152,
356,004,448,559,980,107,124,836,416,134,133,511,492,715,987,791,425,636,231,
335,350,399,576,410,547,333,819,632,014,658,264,503,871,809,646,159,043,556,
655,551,266,294,177,985,196,682,128,440,941,043,469,804,687,262,590,484,180,
950,563,002,284,999,888,624,823,698,255,124,727,507,957,577,668,714,218,567,
317,321,757,096,236,630,250,564,527,040,815,892,131,610,347,086,651,577,084,
319,092,436,223,936,151,287,023,384,883,793,233,279,298,082,587,530,058,962,
477,545,425,949,842,186,736,583,503,212,498,803,285,818,871,114,950,187,596,
650,628,022,217,966,397,057,502,555,700,987,155,658,500,997,646,031,841,768,
899,511,401,469,577,242,157,020,811,043,203,110,780,770,959,675,408,315,313,
857,617,065,948,610,362,998,456,035,074,386,005,356,490,770,923,224,916,807,
059,015,367,645,287,563,030,208,181,216,864,130,222,786,380,244,637,767,082,
098,069,118,442,019,474,705,742,574,659,665,816,278,793,114,034,025,057,457,
142,455,310,093,637,725,756,641,240,004,362,484,445,786,652,668,848,083,716,
928,114,898,597,097,338,000,518,666,470,139,347,198,119,561,081,025,019,081,
158,508,933,584,153,529,166,190,487,332,096,175,099,698,187,614,380,101,292,
920,202,189,880,473,082,554,161,454,800,593,853,008,883,930,861,349,927,912,
667,081,409,716,457,667,443,772,505,682,493,833,603,745,962,457,365,053,089,
855,074,532,798,556,421,041,772,188,398,859,366,634,250,545,497,289,840,341,
940,963,744,769,784,525,967,275,448,126,640,527,090,866,312,173,054,582,823,
355,978,328,310,027,835,244,568,126,669,341,999,891,539,210,650,916,917,287,
625,307,338,746,003,355,443,447,826,039,012,508,588,857,775,767,290,372,212,
335,198,576,452,739,522,980,615,683,272,564,917,505,431,916,185,511,140,786,
192,022,186,612,492,384,222,642,154,973,367,060,621,691,600,089,508,304,128,
058,785,614,947,032,423,492,424,213,346,431,936,454,250,716,851,889,330,983,
047,895,753,504,018,292,081,501,856,216,509,535,507,139,750,751,990,579,560,
181,259,771,193,667,009,200,058,714,940,214,726,657,203,784,088,479,272,507,
414,114,971,199,018,961,102,092,861,839,062,397,299,414,942,539,664,018,986,
091,687,880,980,330,280,400,411,315,662,183,435,116,524,771,673,568,265,185,
079,454,453,939,060,812,522,187,035,394,244,005,685,209,667,555,390,589,726,
887,863,754,988,709,636,529,909,615,796,344,362,566,345,808,307,935,207,819,
529,261,319,984,361,725,910,808,143,604,137,042,777,442,525,796,133,245,213,
884,813,574,111,082,773,989,239,975,038,969,824,774,570,676,804,541,962,747,
002,569,722,968,737,032,642,433,478,561,991,263,144,687,847,371,246,457,639,
981,562,619,881,198,143,486,246,042,701,126,347,857,610,165,318,999,675,800,
436,081,737,404,387,642,761,954,210,394,532,180,424,932,154,707,541,860,052,
540,038,864,282,146,661,095,432,001,806,078,965,850,330,584,932,578,510,639,
833,613,834,583,959,090,754,253,993,447,227,305,967,864,097,482,670,276,649,
340,152,492,695,017,712,965,036,560,323,502,909,341,165,709,845,884,231,331,
516,626,027,813,200,086,739,565,492,403,301,933,891,557,492,639,724,171,435,
901,420,413,938,861,169,257,918,602,048,589,375,572,380,586,107,258,474,450,
817,365,488,330,502,261,547,339,533,965,920,500,535,620,276,123,933,113,399,
157,041,116,484,978,414,858,924,892,203,665,360,396,099,380,878,703,898,326,
291,963,820,647,693,851,926,186,703,341,606,236,027,955,948,757,625,778,341,
550,513,091,722,182,703,925,668,879,660,306,557,837,276,567,032,218,919,349,
751,396,798,354,518,873,116,788,165,262,571,028,389,016,864,208,835,100,647,
952,993,762,292,941,587,203,137,511,640,018,482,058,258,250,764,729,531,124,
024,609,876,373,309,718,062,963,163,825,319,556,221,007,259,969,091,105,061,
384,558,417,304,381,346,079,982,048,946,779,142,633,730,087,539,211,893,776,
133,603,874,592,508,179,258,825,470,861,910,140,700,563,819,040,114,366,947,
292,878,436,778,719,158,401,574,303,698,744,720,359,595,989,955,546,408,175,
705,110,203,249,456,804,510,457,026,993,048,947,326,625,806,803,929,296,168,
880,875,630,949,842,858,956,621,358,935,398,582,595,349,764,352,610,561,197,
902,814,337,045,409,519,031,537,717,310,335,328,523,053,711,716,566,767,549,
482,443,862,976,138,809,554,955,086,669,455,575,874,328,557,499,103,017,579,
309,842,733,700,232,924,692,226,110,811,834,894,570,293,900,540,154,123,385,
352,488,380,699,478,190,660,657,600,046,117,127,834,768,252,657,514,875,945,
375,197,387,289,551,652,973,684,332,130,428,685,567,286,168,496,076,981,234,
728,894,730,399,349,730,371,321,990,558,172,462,597,237,713,253,092,283,205,
936,260,121,580,760,322,568,655,287,091,426,182,921,940,374,458,811,539,159,
785,672,666,672,293,173,681,138,917,875,528,577,330,069,982,635,061,473,543,
838,340,476,227,918,864,349,695,251,516,113,085,848,744,428,751,296,515,759,
134,605,638,900,089,378,711,956,752,474,746,060,492,652,010,285,150,428,534,
661,184,478,325,999,422,994,234,275,876,265,038,043,546,560,571,921,554,305,
311,094,416,277,274,064,689,802,563,932,325,076,673,541,501,721,202,434,875,
258,968,873,035,188,646,871,636,732,932,586,944,937,526,307,515,323,025,540,
928,923,900,434,435,214,727,505,566,353,044,631,042,264,431,564,860,110,231,
447,337,611,416,022,534,597,300,787,972,509,524,162,057,893,552,178,542,540,
196,664,055,375,917,592,784,494,857,110,505,097,816,075,233,895,873,249,890,
396,551,166,736,075,951,495,332,228,331,569,502,553,899,356,293,523,302,869,
013,054,913,970,334,763,337,682,655,802,786,581,271,895,537,612,761,702,227,
350,199,291,376,489,904,453,498,707,030,393,220,266,003,670,115,944,507,681,
977,385,791,384,043,791,194,772,312,173,907,451,846,778,113,294,010,412,856,
726,099,991,999,259,649,886,917,906,578,361,510,959,418,782,899,277,987,956,
817,161,363,110,326,003,761,202,153,135,856,646,557,536,871,517,618,859,237,
012,495,443,162,438,728,897,441,810,359,877,550,670,211,177,886,811,481,743,
766,714,825,123,031,102,166,686,293,708,098,085,651,711,527,270,612,777,774,
547,807,982,293,518,701,822,558,714,992,464,067,365,385,739,721,768,281,640,
163,795,474,812,087,105,058,118,370,379,361,857,392,180,448,540,732,841,125,
688,709,490,723,531,885,770,512,375,756,950,091,630,177,605,032,708,472,849,
470,548,204,655,356,016,631,057,636,194,238,780,747,897,088,185,515,094,173,
206,252,789,090,559,913,741,689,725,384,719,030,848,736,500,663,737,865,021,
676,878,457,614,902,481,596,622,062,497,091,187,461,993,243,055,689,800,083,
020,396,003,966,705,711,444,709,082,411,626,653,170,577,724,783,013,036,936,
660,045,759,760,667,691,475,491,213,343,645,682,738,899,901,148,984,730,406,
582,317,162,348,288,642,237,623,532,418,854,454,991,919,435,486,238,726,536,
588,928,021,620,840,206,585,071,337,565,134,431,908,280,387,810,196,173,553,
309,548,290,161,656,286,932,699,562,757,527,090,151,168,658,700,364,095,102,
274,489,569,520,661,287,096,758,112,935,029,588,550,611,977,603,822,876,123,
152,089,364,429,138,826,612,538,551,465,316,905,280,472,371,338,304,537,898,
767,513,402,759,714,148,329,805,874,427,671,930,211,390,677,452,944,678,583,
164,792,980,999,197,517,629,845,219,620,357,664,982,458,797,867,095,608,724,
763,814,598,122,818,494,272,731,640,191,345,186,525,807,803,866,825,834,289,
048,758,618,979,030,840,702,699,217,727,807,441,101,449,941,622,033,192,216,
452,817,259,331,226,996,951,121,999,571,490,196,421,862,169,253,173,844,378,
565,414,986,884,844,995,546,359,149,921,051,453,496,809,150,790,058,553,900,
191,536,113,535,095,160,227,116,015,943,100,555,900,473,271,894,411,660,529,
792,815,036,745,291,721,490,200,993,922,602,658,224,249,062,819,195,163,270,
777,540,875,844,817,587,199,356,662,809,004,684,071,233,820,121,400,715,428,
641,297,828,085,373,128,692,108,995,795,030,516,836,979,379,436,994,416,202,
261,472,875,120,908,151,490,033,876,806,099,612,356,993,884,640,914,012,883,
368,947,064,666,340,810,944,694,747,065,493,896,142,960,343,580,002,129,699,
674,575,162,692,742,745,923,299,993,313,553,040,965,394,623,067,748,740,674,
202,273,600,687,936,033,346,747,833,797,842,851,940,229,956,555,241,336,632,
881,142,199,837,994,657,050,099,538,010,908,491,955,472,938,437,658,825,444,
798,264,754,845,238,290,399,722,868,936,827,678,864,477,136,378,791,460,144,
191,334,192,110,190,597,039,951,966,720,612,037,789,388,688,991,774,473,266,
061,279,053,528,923,584,095,634,791,273,996,144,430,737,943,628,498,685,660,
645,107,783,502,570,556,793,349,005,140,794,948,697,499,601,704,834,656,882,
885,125,817,740,354,266,953,724,439,777,392,644,743,662,843,455,082,921,065,
024,072,223,045,137,227,497,993,114,904,005,269,231,013,624,492,183,600,707,
871,420,210,027,978,469,303,169,951,994,310,026,573,479,885,644,663,208,144,
822,608,845,697,014,875,685,181,076,242,911,258,349,873,704,351,282,505,507,
644,981,148,226,532,591,283,676,480,575,284,467,611,793,982,940,662,027,171,
486,823,784,839,365,008,138,347,100,172,004,364,724,636,813,011,422,161,474,
608,313,978,825,257,833,612,740,551,390,012,397,593,857,983,206,629,101,859,
940,367,518,266,392,592,427,971,692,248,035,151,905,420,082,119,432,925,792,
136,159,581,253,392,916,196,532,753,822,206,577,438,316,802,908,590,395,654,
002,928,960,794,960,929,823,376,830,334,039,647,215,888,044,164,693,706,592,
474,137,310,280,609,443,586,925,465,803,130,527,807,710,333,137,275,149,982,
793,404,482,605,394,536,993,860,393,279,920,132,170,353,944,436,949,496,069,
287,825,458,732,734,380,195,404,117,835,397,443,047,384,133,699,250,046,409,
445,420,024,836,446,831,372,435,859,652,253,056,225,966,046,287,995,051,979,
281,882,084,082,125,008,558,033,145,293,164,750,881,805,765,829,811,649,210,
257,516,563,768,114,099,217,434,909,358,635,442,969,558,506,388,702,991,178,
967,470,990,155,548,674,963,587,872,932,158,175,910,221,887,606,188,554,041,
580,774,840,125,085,021,736,749,510,817,194,943,659,024,222,166,153,392,404,
752,443,486,891,602,343,566,902,643,500,801,103,665,788,068,408,062,729,868,
632,801,738,255,403,030,452,520,941,921,862,592,189,493,968,023,584,219,824,
386,138,186,435,811,066,056,874,684,758,561,500,274,487,863,069,923,790,533,
068,208,319,627,134,565,674,838,865,249,706,216,222,822,159,712,508,166,404,
388,629,845,966,161,378,840,973,499,325,357,992,131,203,232,972,095,038,124,
558,162,680,988,878,170,553,756,907,703,808,669,210,184,316,851,095,152,210,
311,828,437,364,904,354,775,366,996,801,649,422,496,390,154,767,772,151,486,
755,451,923,601,816,568,718,543,309,110,633,727,511,057,037,122,911,983,697,
100,943,355,294,822,620,006,234,754,338,458,022,985,566,076,670,241,432,830,
080,919,310,270,983,431,237,136,467,253,068,835,644,357,239,297,246,732,783,
504,345,515,080,772,638,001,565,820,740,695,234,847,734,111,843,489,194,301,
382,948,541,020,626,990,962,213,008,676,133,003,624,443,928,183,918,515,310,
718,745,228,753,314,678,781,793,575,823,581,417,417,089,665,247,241,552,686,
216,585,136,468,526,628,390,433,680,953,193,545,209,695,992,980,433,319,523,
870,161,296,046,472,955,096,679,479,362,646,434,609,264,817,234,694,620,568,
863,338,280,590,803,792,049,773,210,351,900,921,476,893,543,395,282,823,023,
181,323,095,617,991,967,827,608,494,138,008,547,786,330,610,858,415,737,943,
947,519,874,645,927,225,316,847,163,234,491,369,973,734,345,133,189,376,165,
995,290,828,582,616,225,405,803,793,873,979,112,465,611,852,067,064,752,393,
294,604,564,313,273,275,878,900,269,383,061,685,908,556,055,743,180,089,080,
870,843,655,870,230,823,986,849,780,570,402,067,104,649,922,445,708,662,722,
570,405,798,661,639,672,768,070,960,163,139,524,360,572,304,551,125,055,725,
622,159,738,793,439,320,210,094,000,649,638,146,611,171,271,504,620,203,158,
938,378,365,775,509,734,153,836,408,889,001,488,617,874,797,841,216,214,943,
446,855,466,714,152,896,156,632,209,092,641,650,212,979,042,375,055,866,979,
782,875,160,233,618,047,493,811,220,172,718,487,400,897,280,518,597,412,228,
381,154,543,741,144,154,543,431,917,068,855,912,950,288,066,820,344,779,164,
847,106,133,470,263,545,702,708,826,418,938,789,857,411,999,860,033,719,412,
511,187,129,324,879,022,956,962,866,914,379,917,061,147,672,068,733,098,324,
345,671,894,526,266,148,696,157,666,700,260,368,905,188,165,751,734,436,672,
440,793,603,536,362,991,627,849,309,088,668,458,649,015,938,456,021,526,975,
688,578,446,050,622,880,469,828,461,055,149,399,595,220,689,338,633,536,806,
419,624,718,199,476,480,542,824,897,221,954,630,161,699,506,474,362,412,825,
069,954,280,589,982,119,574,622,925,095,340,283,533,001,387,527,882,773,944,
772,132,273,603,849,972,474,571,523,333,949,375,838,923,796,999,410,397,810,
388,339,998,624,546,761,099,818,328,980,888,207,956,781,915,819,448,183,817,
108,372,882,151,130,280,253,703,358,536,992,332,626,981,264,171,556,376,130,
544,380,901,399,590,290,731,274,990,442,922,859,473,161,826,721,343,941,737,
650,887,266,613,366,224,243,160,259,494,613,547,745,348,037,439,193,970,864,
060,486,138,191,512,118,775,930,892,451,783,975,997,207,305,415,820,188,727,
556,907,476,648,523,807,878,556,121,213,698,064,749,730,470,214,728,522,214,
413,505,427,521,064,059,612,043,012,534,430,853,397,232,080,542,669,399,874,
148,473,726,040,543,388,258,662,067,911,133,711,058,028,685,831,136,955,381,
906,305,789,761,138,396,561,716,976,254,451,150,078,521,871,309,986,270,087,
589,505,878,207,486,922,528,123,691,058,075,015,794,516,669,721,335,562,905,
709,279,468,579,924,221,782,040,134,843,848,879,831,149,794,879,413,716,331,
313,516,159,825,486,475,012,337,495,372,972,194,066,853,000,610,575,371,112,
907,554,942,835,443,883,074,951,903,677,220,247,399,681,065,036,254,053,033,
151,672,054,083,471,927,950,261,084,376,904,528,571,607,796,393,710,187,909,
052,204,817,160,017,326,195,193,464,602,270,644,149,066,559,409,661,507,202,
719,452,332,105,898,530,950,091,026,368,761,373,240,698,884,972,799,057,228,
882,425,571,685,494,135,165,142,287,320,976,509,518,029,605,580,325,396,219,
508,542,946,461,769,768,699,822,940,111,887,046,558,167,228,994,472,519,657,
468,415,093,157,060,204,612,872,450,377,518,385,019,050,740,014,502,527,105,
651,682,383,949,931,422,158,105,094,620,751,150,197,379,331,543,034,760,604,
205,960,033,064,835,389,557,215,983,801,301,886,144,417,158,202,818,344,025,
745,478,465,044,770,713,806,634,904,055,021,889,908,476,507,534,113,586,688,
378,671,334,634,210,941,534,951,405,114,103,218,456,647,970,636,734,918,261,
917,173,954,404,547,036,204,925,271,674,634,765,894,812,330,100,104,553,093,
058,399,995,644,422,451,548,224,851,060,742,888,369,865,730,922,382,408,914,
834,516,606,446,878,258,633,059,314,900,156,373,107,965,284,144,913,609,607,
760,372,716,508,084,119,393,062,025,333,973,700,936,555,395,767,031,268,252,
227,247,554,483,482,031,890,931,951,711,413,336,713,344,177,752,297,620,637,
534,578,627,069,298,273,433,219,197,505,561,696,159,227,855,301,692,877,034,
972,492,039,320,500,047,753,593,657,936,876,655,732,814,052,755,294,362,829,
869,035,943,401,701,532,478,011,515,596,788,550,664,220,254,446,338,596,452,
491,701,611,780,831,818,749,862,083,919,305,806,972,101,319,593,186,583,938,
868,253,730,349,516,244,609,496,537,343,981,303,673,647,346,292,606,164,443,
638,605,182,030,922,429,908,795,105,945,807,963,789,526,694,026,602,258,840,
263,636,530,011,519,142,396,302,520,873,722,498,724,989,270,003,795,684,940,
760,450,388,012,060,617,909,754,496,005,961,019,953,306,731,378,441,823,595,
355,519,691,846,695,647,202,300,573,381,851,438,176,251,957,402,321,781,369,
959,710,599,970,211,806,267,814,016,857,589,659,372,493,428,862,069,008,535,
842,606,965,149,496,736,261,209,367,903,189,374,892,655,775,715,316,486,856,
944,192,934,406,206,409,534,014,970,098,965,652,388,677,433,713,481,863,174,
781,065,863,913,831,975,612,049,427,568,244,087,365,610,151,508,630,736,310,
371,989,310,801,451,614,694,025,162,204,694,103,041,979,586,247,130,041,931,
952,408,088,948,412,538,804,341,061,412,299,139,361,579,214,592,831,602,067,
970,802,328,605,978,933,017,461,262,012,138,948,164,855,656,107,381,555,898,
262,498,699,993,122,748,963,744,388,447,483,312,040,859,614,036,463,680,412,
757,095,331,210,516,766,815,530,325,208,720,769,176,775,385,368,194,691,081,
864,523,317,060,564,641,064,341,598,809,124,120,611,655,951,258,615,014,177,
722,326,451,148,326,495,665,835,979,755,896,727,998,452,253,057,415,929,646,
348,220,411,999,678,937,395,169,721,010,282,404,708,782,849,670,317,884,773,
882,315,033,592,800,516,659,568,167,152,706,817,020,371,183,458,987,999,257,
804,551,218,593,459,516,875,625,292,907,990,361,938,480,368,354,842,168,153,
335,275,003,516,039,483,120,079,426,166,163,615,254,258,398,994,582,705,240,
566,920,192,130,342,537,381,285,070,685,919,470,630,459,444,481,535,462,434,
492,950,241,979,346,979,350,397,007,463,509,220,194,502,647,453,686,679,187,
892,277,829,022,556,356,368,717,829,003,354,415,899,398,010,099,516,306,977,
669,312,508,256,320,530,968,695,136,922,690,315,983,845,106,961,207,088,941,
671,112,983,620,692,678,756,665,253,780,285,720,794,953,257,137,002,810,759,
945,341,996,740,731,987,043,676,557,191,312,377,934,795,159,560,951,496,537,
145,321,559,116,062,492,203,809,951,361,833,357,365,317,942,816,254,151,052,
635,778,339,519,650,602,232,733,373,474,972,213,634,586,414,095,027,480,669,
569,931,363,323,854,450,711,560,907,162,415,665,804,786,876,590,538,615,245,
764,740,432,149,428,762,591,901,313,532,847,754,620,641,467,397,585,489,988,
111,279,063,413,053,309,835,583,470,778,888,949,586,505,296,435,979,298,486,
390,444,950,615,235,421,303,358,135,395,640,277,567,262,720,857,611,122,661,
002,548,994,812,083,439,286,038,591,443,300,304,957,333,644,279,066,535,715,
203,387,044,179,364,237,670,742,241,771,385,951,456,525,649,768,134,029,908,
255,038,858,539,903,793,593,947,441,643,225,373,670,620,007,784,180,555,253,
726,806,656,993,779,538,578,971,186,009,956,453,440,569,741,233,222,133,188,
165,728,558,761,787,137,330,945,640,301,755,614,536,265,459,011,501,365,136,
006,557,309,580,070,521,564,629,852,312,707,662,646,697,858,669,494,178,352,
661,985,620,411,701,702,758,352,784,088,406,418,186,993,668,315,933,679,847,
549,594,625,959,116,081,771,645,499,105,049,848,962,096,341,992,369,697,697,
499,754,032,721,163,024,133,363,727,344,073,700,307,949,180,093,274,830,007,
427,957,517,401,725,571,165,125,123,009,018,507,154,369,137,061,131,055,430,
270,171,517,547,703,903,010,280,821,331,443,758,299,892,359,339,587,638,561,
402,189,466,363,191,626,989,104,570,779,160,591,731,021,473,469,934,590,622,
257,798,318,348,936,025,443,638,212,216,219,917,256,291,288,370,846,110,272,
591,215,228,146,400,896,035,836,257,809,252,332,588,697,243,038,776,437,431,
298,448,542,426,864,548,688,458,332,204,484,176,385,458,831,936,634,459,284,
406,120,220,952,955,048,618,568,165,913,831,951,279,661,606,182,535,301,331,
348,436,858,442,325,536,914,442,011,749,635,367,988,872,584,016,609,759,143,
000,907,240,567,695,424,009,656,433,495,605,966,903,188,232,101,887,206,126,
660,542,910,397,543,724,312,737,391,268,416,334,797,953,218,719,208,248,508,
999,477,004,855,262,751,264,637,158,123,884,710,023,153,192,062,520,282,289,
984,805,307,056,086,182,151,415,516,594,557,435,358,000,539,556,926,685,168,
808,152,514,915,876,369,250,610,651,013,141,859,195,393,109,772,889,639,282,
769,070,637,521,026,506,509,189,105,245,494,755,656,915,105,286,152,312,330,
794,791,568,484,812,573,946,266,321,171,342,104,928,441,445,104,860,390,163,
465,282,086,335,678,913,153,339,500,806,900,011,237,411,542,623,999,206,158,
405,911,962,744,194,317,730,758,982,072,727,705,248,109,005,614,101,570,523,
845,642,754,660,510,973,652,754,549,379,687,869,433,011,046,201,764,324,728,
768,556,388,216,576,036,809,386,617,630,481,643,975,220,871,615,385,957,035,
023,409,540,401,422,337,205,146,761,488,991,109,111,193,199,925,318,521,725,
021,718,037,913,337,605,757,481,288,494,934,330,611,682,094,305,915,631,681,
130,386,962,750,171,058,413,292,675,318,491,865,853,068,859,876,276,210,179,
110,829,468,867,908,410,216,374,695,340,417,071,128,555,455,773,958,023,338,
454,649,885,746,123,922,093,333,207,440,607,879,489,257,040,264,641,186,740,
455,027,958,178,779,306,491,346,735,693,466,810,102,574,997,186,420,664,281,
510,592,122,916,790,972,647,042,239,286,545,410,767,410,905,948,450,678,769,
912,694,379,145,340,667,365,667,903,642,296,095,863,998,574,428,292,965,586,
736,923,845,403,718,633,215,139,630,521,150,776,282,124,341,316,314,316,080,
132,880,227,094,658,700,308,376,199,747,125,215,336,728,183,681,929,038,015,
930,570,325,681,240,146,670,718,297,657,473,610,656,402,280,933,795,222,738,
245,614,638,266,361,417,324,491,156,593,880,321,770,258,262,841,758,555,408,
280,127,403,287,502,333,347,876,946,528,241,195,619,563,579,031,409,335,950,
682,636,175,356,074,323,645,074,804,969,684,108,891,637,393,007,977,699,464,
522,434,172,446,296,904,049,618,037,324,302,536,806,338,862,913,696,100,764,
654,852,819,817,243,311,587,612,648,965,220,629,378,351,904,616,179,118,790,
134,163,845,404,040,096,838,361,499,736,118,939,321,103,466,207,599,150,504,
641,726,929,204,642,872,721,756,139,055,183,748,041,332,591,569,110,233,718,
759,864,264,210,688,608,707,360,294,595,583,456,257,558,419,214,734,053,885,
904,274,812,614,823,149,682,072,863,079,654,905,643,050,760,222,159,588,963,
051,471,074,982,717,746,743,535,133,969,872,100,667,478,111,081,513,185,985,
593,149,604,305,265,463,109,409,425,540,789,371,694,549,632,148,070,803,113,
125,912,976,628,452,357,967,907,872,821,312,975,768,415,384,747,355,443,382,
859,317,701,428,850,173,066,073,530,958,385,460,123,084,941,047,954,467,880,
890,821,553,573,799,104,326,292,185,285,960,392,721,599,590,079,771,647,605,
364,947,665,555,323,439,952,600,369,007,593,914,150,884,368,323,770,212,217,
592,439,489,649,492,401,502,191,694,422,989,764,955,831,847,116,581,297,726,
571,696,808,894,766,235,913,452,149,257,927,371,979,935,432,601,133,315,866,
096,821,461,625,826,383,232,529,396,663,731,858,230,799,184,650,607,991,665,
403,332,552,121,483,209,920,138,081,265,362,564,057,739,620,056,863,655,585,
365,418,821,445,230,944,408,446,788,576,824,087,272,534,813,324,818,624,991,
768,029,843,924,679,755,859,645,239,198,853,765,577,597,242,931,637,259,056,
769,426,999,018,458,213,388,317,902,490,291,747,539,382,919,581,397,957,152,
632,372,121,812,084,941,344,366,469,339,405,800,525,149,462,138,373,952,679,
781,590,574,865,435,637,449,086,554,335,667,363,743,313,354,604,080,547,773,
809,835,777,269,237,472,833,389,298,993,313,800,084,829,417,075,509,196,385,
600,045,293,201,320,615,744,798,906,406,104,806,393,527,182,920,545,615,446,
733,571,073,962,593,243,366,465,485,648,624,610,095,210,491,536,214,958,932,
663,284,954,917,293,806,374,720,125,572,481,702,698,194,025,826,725,132,904,
336,789,221,647,662,653,361,858,355,544,240,250,126,110,542,134,768,189,398,
516,935,875,013,288,283,532,149,336,898,346,849,937,119,159,263,293,623,257,
246,295,305,777,272,439,881,656,719,754,230,900,820,303,565,944,149,395,275,
623,493,339,026,456,410,021,807,492,461,482,943,610,363,292,634,010,303,283,
815,897,136,259,908,037,595,018,020,437,896,053,205,448,205,934,604,658,789,
698,117,075,865,197,796,297,289,934,269,987,261,290,794,156,001,490,753,462,
826,653,876,938,750,354,987,425,581,847,813,939,435,577,633,729,578,073,909,
327,091,104,333,435,336,671,457,127,146,315,931,135,283,712,797,631,562,521,
721,946,657,285,548,160,858,226,432,498,092,968,181,148,547,089,624,831,043,
140,769,703,528,360,090,925,792,642,209,056,832,601,922,180,990,004,248,151,
095,112,053,388,089,217,308,224,790,300,439,691,860,373,509,978,781,754,566,
551,061,426,272,018,322,769,498,336,478,646,584,276,065,435,865,274,193,247,
069,369,331,784,553,550,232,158,309,638,777,860,134,804,476,492,664,184,985,
770,043,794,466,439,252,848,564,510,709,387,771,418,926,479,912,957,123,356,
117,630,420,608,187,790,626,160,001,546,937,412,367,041,872,174,821,429,008,
792,724,561,762,134,347,666,378,516,264,906,691,846,208,776,517,395,955,292,
544,557,835,816,659,097,903,877,066,127,915,380,641,198,655,674,162,465,863,
690,578,249,650,532,357,142,765,451,955,720,522,144,243,137,642,400,440,093,
759,825,996,993,469,848,544,363,639,400,237,205,627,102,182,712,091,855,103,
814,080,307,466,831,803,130,444,084,757,308,450,098,580,281,814,916,378,796,
297,681,887,663,835,697,964,790,513,739,894,434,345,183,779,614,399,770,763,
189,757,564,428,047,696,864,337,460,135,489,044,598,804,787,192,053,986,445,
859,787,113,962,498,749,578,486,692,867,751,186,422,484,560,750,288,673,750,
403,941,773,233,877,984,170,218,798,296,977,323,161,447,967,880,260,692,186,
037,395,853,420,408,510,383,708,534,429,915,620,003,490,612,523,065,711,688,
312,304,088,621,776,134,126,742,013,784,930,677,948,879,823,496,254,406,029,
356,651,018,477,100,437,849,246,460,699,072,091,066,918,947,998,432,980,868,
704,789,416,027,582,206,020,041,783,933,235,963,734,719,079,033,763,620,912,
123,138,196,890,628,814,096,211,517,111,360,248,396,021,970,267,551,338,668,
441,785,523,075,340,864,296,042,016,128,181,396,483,592,971,703,061,419,952,
380,145,950,916,085,958,713,337,755,685,312,199,377,928,465,004,687,743,963,
335,989,394,601,372,210,282,095,103,368,263,979,872,188,713,186,806,094,109,
647,105,985,161,326,606,288,626,909,825,934,227,454,573,975,093,079,678,130,
230,610,548,699,865,281,449,009,457,034,864,970,394,187,946,763,867,764,889,
129,322,742,677,037,938,688,050,570,226,574,240,205,592,195,717,229,196,566,
051,625,805,808,187,618,235,274,434,593,149,791,212,690,636,959,763,751,913,
809,212,865,865,284,627,052,968,557,253,802,915,576,272,711,633,405,840,419,
323,559,563,031,407,279,055,944,131,335,489,878,418,229,495,217,481,188,929,
717,421,581,247,905,038,560,218,660,310,644,529,032,309,169,603,083,089,285,
805,930,179,284,115,824,060,927,519,776,827,837,191,412,383,198,103,964,259,
731,132,734,874,602,543,028,303,117,285,559,305,872,645,107,074,867,419,653,
767,015,048,858,387,528,712,774,481,236,876,942,679,026,149,531,887,585,344,
662,514,223,736,107,229,424,917,759,079,319,029,541,818,497,784,345,270,800,
941,425,895,601,713,477,876,098,820,104,282,353,438,413,994,062,646,176,080,
290,845,017,624,610,417,984,169,044,418,044,677,598,815,514,836,071,937,785,
164,631,753,727,171,222,414,547,623,952,979,068,322,569,010,836,666,736,156,
811,727,759,561,540,594,815,057,497,987,295,381,336,250,440,560,664,549,555,
711,379,003,735,692,028,431,138,665,258,746,505,946,165,156,460,811,440,346,
051,782,799,457,493,101,072,010,541,039,392,295,494,589,806,557,160,386,450,
299,888,869,524,962,078,374,396,028,234,691,413,794,631,530,801,348,180,222,
568,592,124,373,064,504,919,712,282,646,882,856,867,886,554,428,770,363,232,
390,151,275,559,723,586,570,156,647,330,064,779,605,800,882,616,103,899,633,
053,031,783,003,558,842,668,071,612,031,847,335,528,819,723,872,049,887,540,
664,149,046,309,965,706,566,029,280,752,214,247,029,913,226,420,718,603,155,
538,059,766,258,081,267,368,504,713,958,211,282,379,687,061,351,655,225,298,
799,479,636,546,596,870,962,155,496,447,433,027,825,853,218,688,021,375,817,
463,800,205,966,832,089,158,970,371,033,993,616,446,629,243,793,712,680,372,
212,475,663,965,061,949,770,575,910,011,307,939,058,837,445,962,244,792,832,
651,017,618,031,687,405,032,499,640,157,441,496,869,343,145,108,496,652,028,
734,688,348,163,875,904,389,709,052,248,168,303,411,529,651,137,033,575,186,
951,224,922,621,740,964,194,839,880,926,964,273,647,129,894,698,551,099,214,
046,918,838,033,493,591,418,176,306,709,535,480,420,422,633,939,643,965,480,
042,409,806,845,526,184,343,834,805,673,382,736,225,726,549,976,416,089,142,
992,955,956,779,759,516,599,140,160,772,459,653,155,549,925,912,380,121,101,
824,273,670,991,062,996,679,643,077,584,232,014,362,668,580,510,931,781,273,
602,789,263,191,379,936,106,670,693,531,091,525,466,635,542,586,719,381,331,
042,256,682,424,410,716,333,964,112,042,738,442,930,803,217,194,165,512,659,
053,744,799,379,511,398,140,513,706,626,401,706,993,902,048,844,838,871,806,
294,705,688,695,372,446,926,979,209,768,712,523,926,898,964,802,021,936,440,
645,735,696,334,094,979,805,437,219,168,300,226,585,517,088,758,467,802,172,
272,105,198,960,744,785,774,940,134,308,556,345,884,689,702,538,200,919,862,
733,903,882,946,952,263,411,954,047,699,433,650,874,529,832,246,466,554,202,
072,230,942,029,574,362,478,221,012,805,696,564,944,742,958,247,132,166,426,
558,708,135,053,170,905,306,163,158,598,768,421,262,195,575,494,383,644,848,
236,934,330,149,596,527,764,116,476,619,566,837,787,693,305,946,831,102,690,
545,547,737,920,397,950,071,574,975,717,488,962,104,249,964,640,513,898,667,
470,055,254,730,448,534,664,687,906,618,849,922,844,085,291,616,243,546,245,
199,122,650,578,554,840,821,804,013,567,720,059,840,219,409,911,081,091,068,
661,542,140,365,065,936,989,141,156,848,765,607,252,219,444,349,461,989,880,
453,022,225,245,405,817,908,417,557,481,922,449,829,692,991,637,505,123,531,
799,698,050,634,364,710,980,348,178,075,744,307,518,846,747,504,782,643,832,
765,747,449,609,266,998,192,020,186,191,387,689,949,979,945,039,225,715,508,
583,826,732,738,021,440,834,377,219,240,970,521,138,405,613,955,984,516,574,
889,945,259,233,171,546,585,459,565,485,748,217,533,363,437,194,508,105,325,
834,876,843,804,268,874,193,364,957,807,267,664,241,432,430,554,374,971,647,
402,033,166,087,785,028,885,501,938,760,313,985,746,248,409,331,204,104,470,
417,300,029,139,360,487,597,003,012,506,620,871,382,716,916,415,216,896,210,
458,064,977,696,096,411,416,385,494,890,123,513,840,332,808,282,252,019,396,
999,069,268,727,303,636,646,161,004,789,661,134,810,733,458,065,964,168,685,
276,360,562,510,870,405,497,431,967,492,161,255,425,086,889,231,956,693,010,
141,736,987,001,765,871,677,740,635,852,091,159,640,350,760,211,073,947,264,
962,436,687,961,311,638,411,343,961,248,815,705,512,778,531,731,764,119,109,
779,861,794,219,523,108,742,780,284,100,945,865,035,716,848,898,261,918,837,
717,416,364,941,462,112,167,879,069,580,955,708,976,037,843,960,075,012,543,
837,163,017,686,303,142,505,667,504,020,667,349,348,061,002,355,946,839,350,
529,741,436,132,942,792,178,886,353,722,130,960,969,859,409,653,473,167,359,
952,147,653,961,831,599,429,748,809,071,418,335,737,470,368,352,024,104,042,
692,548,579,137,456,246,262,157,941,013,609,737,988,682,049,599,690,576,992,
955,192,600,420,589,342,770,347,523,183,485,867,040,671,308,973,622,851,958,
470,148,311,289,160,687,672,834,592,761,647,365,665,501,531,866,779,113,977,
822,698,233,893,316,962,475,057,830,614,804,126,442,038,771,724,290,881,542,
198,136,649,740,858,627,855,330,695,667,256,574,198,220,942,612,411,152,615,
115,979,285,924,048,846,402,770,008,226,565,784,313,496,175,572,219,859,025,
937,039,692,382,203,912,555,608,829,103,228,515,827,999,925,418,073,291,563,
319,990,757,171,958,575,539,330,576,994,551,195,225,983,843,742,810,732,577,
665,907,037,719,740,037,812,375,450,390,356,393,123,469,290,971,330,511,255,
363,746,846,559,410,231,896,245,427,336,876,260,342,615,976,278,867,664,730,
272,996,836,781,616,284,946,279,922,476,135,214,713,863,756,007,560,882,974,
436,548,445,399,921,979,582,295,674,707,075,000,818,082,978,942,916,078,988,
661,564,242,874,735,775,183,817,747,852,986,248,560,469,305,226,212,194,241,
042,084,660,376,168,400,604,003,066,573,694,821,199,453,422,065,937,759,021,
820,963,305,144,074,696,674,339,485,399,601,642,580,716,050,374,429,309,632,
616,269,570,905,118,515,857,451,459,596,539,980,290,378,166,388,615,147,799,
924,752,127,122,275,318,888,464,949,780,501,962,265,783,398,194,133,746,649,
737,387,485,649,245,581,142,976,314,594,154,203,580,927,956,286,436,016,078,
108,990,531,352,004,814,595,350,564,918,317,022,532,280,842,863,248,505,009,
807,826,668,587,496,778,094,650,098,381,943,949,565,517,596,419,708,841,493,
234,445,377,076,671,227,768,526,172,614,900,998,439,067,283,520,435,571,567,
696,793,539,127,972,229,877,850,180,617,854,973,204,716,470,865,741,408,452,
475,690,252,089,988,043,169,709,764,001,669,527,360,165,074,981,129,968,861,
919,242,857,181,912,553,483,962,639,835,848,524,464,083,981,685,832,059,707,
451,606,876,391,481,090,481,925,002,230,371,932,342,050,538,242,200,903,035,
521,918,258,505,190,657,051,941,454,663,817,165,955,035,203,996,835,064,835,
512,591,409,530,708,820,437,045,067,758,646,629,770,707,767,994,653,107,585,
396,338,232,851,734,250,866,379,250,554,538,397,526,164,435,765,789,712,456,
540,697,772,397,021,328,972,677,603,828,444,573,076,192,991,201,717,321,496,
586,985,136,909,278,238,236,349,151,004,845,235,231,659,439,303,353,269,886,
631,950,998,435,727,922,489,182,200,686,604,889,798,654,070,039,798,805,128,
967,125,445,982,080,267,748,494,560,870,300,930,247,621,217,666,890,905,768,
680,894,279,859,181,224,875,489,720,187,058,833,507,544,964,628,648,366,650,
718,266,123,225,776,176,263,228,808,588,657,758,241,692,675,951,298,991,728,
270,523,394,679,072,495,583,660,102,974,846,931,447,340,599,818,746,402,417,
965,410,623,439,983,743,877,227,751,140,599,883,383,191,305,797,292,207,481,
615,556,176,570,300,786,355,328,145,766,430,730,295,795,760,173,294,853,435,
741,044,543,511,858,120,109,617,101,346,924,657,175,955,553,520,353,792,824,
570,289,346,540,371,747,226,085,729,608,408,698,318,335,487,073,233,871,747,
120,811,232,774,279,189,795,636,557,102,755,114,301,237,803,275,703,871,920,
080,035,290,641,441,187,822,255,639,348,694,652,332,737,263,768,861,764,513,
661,675,492,670,672,970,145,465,940,113,575,186,109,596,600,764,319,348,065,
324,385,228,970,774,004,276,485,398,414,992,007,677,819,658,017,516,206,673,
032,201,613,124,140,116,648,952,638,581,120,928,428,905,682,596,261,301,551,
514,690,723,347,131,699,271,094,167,710,258,082,130,530,436,152,601,463,305,
036,084,869,319,828,092,832,764,024,791,840,066,008,370,705,971,477,771,927,
561,772,583,932,481,598,364,448,384,617,631,865,894,243,754,082,419,790,195,
585,175,581,196,602,242,646,604,219,985,160,969,068,769,657,841,526,312,557,
406,763,746,004,220,042,910,263,554,900,092,818,477,247,802,411,075,091,201,
588,343,560,374,194,837,196,294,764,082,886,744,728,441,524,415,931,021,605,
864,784,409,834,562,626,673,776,201,249,670,223,877,657,164,334,433,654,587,
611,164,654,110,982,429,752,759,505,888,391,870,761,526,395,512,443,461,072,
429,925,707,460,592,944,226,661,620,551,234,098,945,302,523,806,296,166,607,
616,806,814,927,476,887,550,300,511,956,084,780,423,624,961,844,986,230,732,
184,369,646,706,390,832,944,769,642,051,434,279,797,022,301,567,721,738,365,
408,434,855,683,046,425,146,629,298,048,865,568,782,466,867,999,410,450,323,
941,540,763,900,269,862,277,206,545,810,296,363,659,109,148,446,519,071,062,
789,412,342,487,667,203,423,412,356,909,499,759,670,207,900,587,670,216,333,
315,175,559,635,682,552,922,188,611,444,021,821,912,719,288,366,966,719,674,
572,907,143,809,054,981,384,686,104,501,966,603,433,320,736,200,143,788,793,
421,491,355,244,908,992,407,821,676,366,779,655,624,709,953,749,688,288,786,
025,093,500,567,529,339,036,927,228,810,392,318,087,598,028,445,134,425,513,
803,007,399,386,583,728,468,566,654,428,120,828,803,064,209,109,998,671,051,
278,011,211,084,148,803,503,898,071,520,652,765,304,004,133,479,164,401,406,
830,452,724,008,841,995,987,801,948,084,819,641,703,459,426,206,165,626,541,
140,659,302,744,976,919,098,690,498,138,892,231,563,632,838,205,057,955,649,
978,859,432,464,204,265,256,588,754,982,692,126,368,833,777,259,522,736,885,
237,699,899,384,592,888,660,164,736,617,889,627,799,768,000,566,632,871,964,
463,293,956,581,420,004,179,925,418,459,326,448,678,222,560,760,410,539,510,
869,098,037,150,871,535,416,651,066,795,018,427,019,147,631,669,677,846,962,
987,453,782,656,982,037,448,933,499,720,865,117,752,267,408,768,479,699,391,
749,615,630,329,276,824,266,209,745,812,167,971,244,858,017,711,227,280,369,
192,449,393,537,749,836,288,168,304,782,743,384,720,162,721,288,242,947,995,
825,289,645,757,282,635,991,070,846,366,686,718,193,770,685,485,123,990,627,
638,528,520,209,491,882,406,406,906,052,471,377,990,882,747,482,897,191,809,
552,074,227,485,430,864,305,263,127,389,387,336,431,154,398,870,628,773,810,
596,594,732,962,502,973,149,897,906,150,363,859,131,755,732,330,244,074,771,
281,799,679,679,195,396,948,940,264,864,782,277,951,572,695,257,818,167,299,
694,332,402,960,557,480,790,623,158,472,339,215,757,591,045,108,893,978,206,
585,066,832,418,961,922,936,773,926,440,575,681,019,217,697,891,143,591,785,
553,077,086,079,513,684,954,309,637,739,985,853,585,049,656,161,478,307,341,
892,822,244,283,545,358,865,931,971,571,997,351,829,965,092,349,626,524,373,
392,223,675,793,618,343,039,326,168,370,204,381,603,195,503,241,933,930,362,
029,591,194,982,138,129,488,063,541,830,320,941,451,523,695,073,682,615,125,
818,721,071,189,414,482,574,195,084,681,063,112,379,877,143,278,206,302,695,
999,116,132,979,063,846,067,931,968,730,422,256,021,914,188,019,782,250,509,
002,685,599,500,139,745,048,607,519,292,771,179,900,319,779,276,674,473,332,
368,168,187,795,629,890,379,487,786,640,200,769,479,051,945,985,296,924,276,
119,823,959,917,663,393,177,351,628,000,214,136,591,468,954,974,610,499,436,
799,975,449,058,907,161,410,581,382,475,603,578,658,675,520,499,899,446,176,
620,655,775,860,235,015,397,681,658,974,057,312,295,177,426,902,230,988,483,
760,937,889,791,136,380,752,199,495,074,930,382,771,743,320,919,212,968,497,
457,080,427,200,833,348,600,905,444,341,297,846,297,572,195,071,853,541,783,
267,108,160,343,825,620,412,067,852,746,718,223,982,044,395,538,103,854,715,
695,867,655,270,753,362,780,549,084,048,060,771,454,040,208,355,412,663,396,
492,924,525,291,806,577,866,307,095,148,948,287,643,851,030,233,947,484,803,
270,465,858,751,623,241,068,402,158,898,335,098,973,882,472,564,321,631,038,
767,283,498,191,976,367,660,550,739,002,571,626,773,537,054,566,861,445,166,
488,600,795,572,339,837,583,363,258,099,994,291,380,531,689,800,446,279,016,
591,036,791,388,930,704,624,334,259,452,239,615,548,083,822,353,337,041,208,
973,483,184,156,336,916,993,787,801,960,071,665,171,071,182,299,240,838,969,
680,954,869,713,103,917,265,026,016,453,551,225,208,961,649,593,666,816,563,
812,175,901,470,353,373,719,371,923,569,554,687,201,790,075,246,137,500,467,
909,095,517,131,352,743,554,118,113,296,298,272,210,621,162,676,580,654,041,
104,112,892,183,344,698,116,004,603,956,056,987,874,719,680,873,731,000,233,
858,923,348,536,412,473,874,949,984,143,480,733,793,602,650,615,227,627,118,
519,309,864,049,685,532,828,249,815,538,657,092,375,631,362,068,601,879,161,
948,185,271,284,477,330,847,816,649,247,523,439,400,260,775,022,191,696,572,
124,880,146,661,925,576,804,672,924,024,883,349,065,800,860,769,616,443,588,
995,994,748,169,875,246,828,004,001,782,713,261,386,210,647,954,255,369,421,
954,912,598,551,356,374,521,610,546,612,867,768,117,444,642,484,431,187,006,
357,897,961,534,254,866,208,372,521,489,637,533,942,705,080,450,729,982,821,
531,515,058,621,820,081,263,684,874,258,959,547,635,523,388,418,585,100,099,
271,564,249,365,379,995,356,433,586,501,169,775,051,253,517,015,829,924,884,
773,124,096,996,885,002,943,608,951,632,641,561,132,938,676,069,602,168,839,
347,628,471,628,626,888,316,869,409,450,603,972,075,734,648,800,704,429,908,
074,345,839,578,050,220,318,797,170,843,103,902,537,927,494,999,229,091,130,
841,477,239,915,583,408,872,022,580,302,080,728,297,752,134,538,351,287,290,
700,200,695,199,288,879,759,452,031,760,433,620,431,830,678,707,336,681,358,
261,338,442,444,656,157,858,283,201,098,381,152,607,448,735,086,373,887,102,
626,760,867,179,248,899,384,887,630,720,595,584,539,413,900,998,988,446,096,
428,704,144,878,282,862,056,966,117,727,415,475,676,813,157,199,967,995,719,
306,982,324,850,024,681,033,698,278,179,898,400,283,556,990,115,978,956,135,
187,246,569,942,423,895,898,960,550,408,881,357,356,006,931,822,468,673,631,
065,711,788,008,690,593,192,179,133,785,110,839,590,919,721,040,198,599,018,
535,154,929,577,621,122,243,306,910,801,734,548,631,655,568,970,702,381,382,
002,214,833,149,259,970,063,286,664,814,966,168,516,636,026,716,746,705,245,
565,668,979,264,557,014,233,816,849,928,203,076,461,780,537,073,464,154,164,
889,124,578,883,539,142,608,590,291,338,841,133,249,142,606,392,205,274,943,
375,177,717,426,577,313,729,057,366,275,074,973,304,745,643,416,525,637,504,
668,538,246,863,530,790,598,550,326,427,456,285,192,705,020,531,982,556,879,
290,373,658,198,607,810,885,779,425,295,093,746,702,886,500,512,913,712,036,
633,078,108,932,752,308,231,714,496,812,556,354,223,555,443,521,190,331,745,
580,727,756,125,473,972,384,256,656,864,485,373,500,691,075,843,183,603,049,
011,747,572,109,327,902,613,213,916,248,525,442,170,572,519,703,606,758,090,
525,288,932,234,444,029,890,786,596,901,248,985,074,331,625,203,675,849,289,
622,574,127,229,042,243,454,734,804,875,809,743,105,527,363,006,738,969,448,
564,277,217,974,346,159,611,932,232,076,161,969,589,197,260,270,303,044,678,
541,083,978,729,745,817,316,430,960,223,296,371,629,101,290,592,070,662,027,
656,917,499,647,572,913,263,198,358,187,066,034,824,334,223,418,566,052,438,
175,711,952,977,799,497,326,343,675,551,090,978,914,373,212,410,096,321,300,
010,509,968,186,656,235,747,789,120,320,890,486,772,088,897,431,278,736,144,
285,179,577,899,762,897,898,952,395,177,119,177,315,070,585,665,294,325,628,
661,946,796,207,751,036,832,184,298,853,928,985,495,476,542,262,198,133,455,
529,880,370,089,546,968,401,305,455,476,771,097,099,047,376,064,732,026,095,
525,921,364,692,369,682,921,310,225,604,389,034,815,919,549,406,884,502,129,
842,882,750,263,353,949,547,015,746,274,149,108,852,460,059,735,794,892,547,
745,897,253,882,300,100,330,694,408,923,983,731,269,910,960,663,015,213,400,
053,409,141,679,501,253,087,856,122,742,707,357,599,285,136,995,952,484,327,
079,308,947,777,154,860,244,923,223,417,581,715,779,443,202,960,830,320,827,
203,639,554,662,077,418,079,852,680,193,960,441,236,034,107,377,753,363,689,
247,541,111,183,244,396,093,267,956,320,456,397,345,067,168,933,394,329,314,
497,663,936,852,042,044,813,982,402,946,018,395,680,562,264,199,719,717,274,
775,917,432,645,866,997,023,037,894,747,889,938,475,679,463,080,580,017,893,
964,462,830,277,378,009,175,816,039,307,637,232,218,253,987,659,114,330,009,
034,985,534,739,982,294,654,046,036,708,159,008,597,119,354,065,783,851,499,
212,741,293,277,024,432,250,074,613,052,234,423,670,155,137,025,080,428,941,
242,891,388,711,528,840,360,911,883,995,832,651,818,764,397,713,818,887,524,
504,154,806,397,064,330,165,720,685,629,915,827,621,261,484,380,204,303,794,
455,346,798,821,670,388,672,212,183,448,002,653,900,857,481,293,292,627,078,
249,629,743,810,049,599,850,513,490,535,704,345,822,600,701,273,323,269,787,
946,902,962,972,805,552,025,066,332,941,930,446,035,046,712,764,399,440,880,
702,523,170,387,632,004,978,880,327,996,246,408,149,536,732,595,491,108,497,
316,654,002,813,210,232,280,350,339,489,134,637,226,042,662,078,523,127,367,
619,073,860,232,297,935,712,509,645,017,452,815,482,811,850,441,185,262,197,
242,140,481,584,904,264,304,311,266,867,716,521,927,272,844,787,140,859,579,
013,581,438,120,759,577,468,171,409,958,001,100,639,179,655,842,146,615,737,
565,442,209,064,780,912,301,751,890,126,461,709,435,286,937,850,280,861,324,
875,424,056,236,043,147,508,835,524,868,683,360,167,168,047,142,712,995,326,
323,083,004,599,275,236,352,704,260,615,435,924,345,172,218,820,336,062,028,
088,994,865,712,131,422,120,972,717,315,993,245,060,654,387,453,721,902,204,
830,521,160,789,381,050,449,352,658,264,564,491,752,533,825,384,978,269,960,
462,525,353,012,167,677,632,318,925,680,005,571,587,852,920,160,962,958,288,
452,872,851,821,300,572,611,494,626,506,726,620,888,351,523,354,560,317,801,
555,531,669,709,657,534,536,047,823,553,621,907,774,473,054,474,897,573,741,
076,302,261,959,578,858,791,883,408,676,473,965,354,873,242,890,415,637,976,
343,797,588,305,093,505,112,155,126,427,974,504,029,568,011,962,103,520,710,
286,416,721,428,604,091,385,006,945,946,871,859,233,470,942,778,300,961,642,
055,934,816,938,260,893,413,874,914,061,165,571,269,378,873,527,863,640,370,
774,468,076,348,079,767,100,362,740,833,476,023,409,173,277,892,991,039,750,
282,718,231,515,661,155,553,963,028,193,775,987,670,864,781,347,740,812,277,
138,459,601,292,232,106,845,529,720,495,529,804,588,721,028,513,867,472,083,
533,632,117,026,432,597,195,897,102,305,254,353,258,598,866,244,918,552,135,
594,845,037,523,208,895,623,072,344,373,498,663,407,845,910,310,286,992,632,
404,572,295,657,379,026,025,272,897,731,654,737,429,253,080,747,793,636,742,
173,314,752,959,768,865,293,636,032,445,023,058,881,185,599,059,618,049,383,
127,667,272,916,690,680,098,922,715,121,785,151,781,521,286,698,927,428,149,
551,688,017,945,366,301,399,764,596,200,837,830,475,144,964,281,962,137,015,
297,027,952,788,160,707,116,364,335,511,681,676,655,379,220,302,091,978,947,
498,755,168,693,717,765,750,662,063,063,321,955,956,609,578,676,559,377,521,
778,018,530,970,305,017,638,605,324,323,236,036,537,387,935,073,180,505,729,
461,772,171,388,557,477,614,700,759,127,498,018,181,354,138,257,245,070,309,
859,369,742,222,767,963,195,224,545,513,926,345,552,489,757,371,300,458,632,
741,221,598,692,800,027,339,955,682,717,815,619,637,534,074,338,346,126,952,
340,825,869,137,980,129,442,831,952,329,426,717,070,008,784,100,016,736,753,
689,665,781,224,609,821,728,496,569,405,679,000,418,135,353,462,000,503,071,
211,073,921,006,743,282,933,296,904,146,802,857,944,726,055,825,738,968,054,
070,934,293,499,044,210,909,486,866,153,743,535,440,431,568,725,263,436,662,
536,203,677,023,581,795,321,481,248,286,060,298,961,457,233,490,192,520,038,
336,415,593,905,168,879,189,705,989,587,985,850,007,844,952,098,182,035,329,
619,784,474,998,056,950,468,065,357,486,056,484,158,013,025,146,502,851,672,
014,985,289,454,045,356,226,768,234,884,159,920,930,015,444,069,590,250,367,
373,646,924,385,431,506,246,365,860,448,830,004,409,782,044,098,559,906,619,
826,017,195,593,105,505,357,458,990,333,506,847,433,544,503,054,492,590,954,
874,099,312,123,624,583,771,615,892,244,904,068,857,895,931,702,773,662,331,
200,992,341,101,872,383,852,024,844,361,094,816,683,877,485,405,146,081,031,
689,223,104,871,076,110,225,907,376,566,996,633,095,199,150,623,360,824,191,
660,902,746,571,060,063,915,855,056,422,956,497,646,048,588,707,299,122,955,
368,936,596,254,650,545,280,102,385,582,719,831,446,603,405,316,271,404,833,
646,896,019,296,992,040,891,483,128,307,648,432,780,770,785,030,799,870,269,
864,910,011,335,240,182,798,889,833,781,337,443,514,649,245,054,543,020,959,
129,110,016,425,522,446,216,102,708,169,690,633,878,629,660,295,450,940,564,
939,171,669,809,167,860,559,320,647,617,457,202,991,892,321,589,387,335,293,
022,948,944,294,664,379,313,071,535,575,409,192,643,235,222,152,572,503,431,
685,485,191,748,337,134,492,477,506,447,577,282,323,458,511,000,007,935,502,
878,219,883,337,964,320,437,576,480,131,339,566,218,689,575,777,603,515,355,
356,517,535,166,521,471,252,941,740,840,363,151,635,009,285,771,139,228,548,
349,995,259,598,713,184,605,159,557,665,054,143,602,665,676,514,411,903,372,
227,258,568,607,526,249,101,476,207,669,796,464,925,772,514,111,462,038,369,
870,712,834,539,014,678,459,818,842,276,091,706,848,394,897,462,326,886,429,
218,836,388,564,547,208,490,986,509,350,822,098,906,321,838,888,344,782,779,
893,763,321,789,340,702,368,641,224,846,946,547,291,013,255,035,978,562,850,
382,792,835,926,341,767,131,585,658,865,862,010,266,516,952,837,321,741,105,
186,232,795,129,595,619,523,690,980,445,225,440,245,173,710,244,374,873,548,
727,999,466,466,237,352,100,531,760,351,930,375,826,068,275,458,824,745,969,
749,885,758,033,153,422,774,402,979,805,745,548,818,218,360,283,179,175,446,
989,255,990,626,459,351,613,880,380,850,046,660,074,596,947,944,208,265,265,
521,011,630,212,746,137,243,978,222,996,312,833,832,085,473,318,940,167,875,
318,408,019,714,978,758,508,657,230,377,729,246,011,573,082,508,349,513,966,
205,797,034,990,333,229,791,817,346,335,691,188,344,453,848,444,747,756,625,
570,054,404,552,303,249,866,803,454,730,390,974,889,652,805,114,128,469,034,
910,370,101,791,334,316,794,151,112,112,726,702,684,722,469,445,372,406,568,
395,969,777,231,184,633,581,798,740,635,428,758,850,215,967,068,578,109,418,
730,327,419,120,469,302,992,560,782,764,916,024,976,185,790,066,659,251,161,
988,660,702,226,495,201,072,541,410,009,516,774,503,671,212,790,081,203,024,
865,225,674,830,341,086,277,075,415,535,245,403,099,845,693,907,704,603,602,
682,483,221,063,572,096,356,164,074,964,600,561,646,699,915,608,787,647,655,
829,276,816,240,154,911,926,926,851,270,504,061,078,949,436,770,801,314,283,
052,556,843,953,632,871,471,673,851,503,185,103,477,016,958,687,280,216,372,
218,067,983,943,780,977,255,800,722,740,145,283,316,208,420,538,525,848,901,
282,401,749,678,223,656,458,763,762,026,370,436,846,737,924,033,501,493,775,
073,461,618,084,456,772,301,161,177,966,429,809,616,683,023,205,628,845,111,
731,141,724,437,531,667,556,284,041,797,228,839,419,198,869,648,499,714,091,
389,493,031,370,320,976,589,875,979,493,298,685,761,143,794,236,506,552,553,
667,650,607,762,708,946,496,468,152,549,025,200,999,834,394,148,938,951,784,
330,826,277,730,780,211,938,186,410,526,666,306,716,916,330,145,665,093,311,
980,869,193,579,333,557,677,180,520,170,359,615,715,875,206,436,704,415,492,
919,762,368,158,018,698,607,489,229,181,472,404,545,580,906,802,621,043,466,
714,548,538,983,530,207,646,423,000,047,300,523,372,630,853,690,345,659,361,
697,298,483,241,263,571,557,612,950,701,488,950,279,156,547,035,383,817,555,
832,094,945,195,803,081,365,988,204,229,447,276,786,882,769,973,168,895,823,
459,027,314,103,378,270,676,176,206,451,729,049,269,843,119,176,205,017,035,
725,304,782,376,577,024,683,422,407,835,205,534,876,374,194,483,705,451,320,
710,956,733,313,824,118,782,234,542,968,199,196,966,780,015,867,078,870,167,
836,419,976,088,700,131,948,826,696,696,766,696,875,160,180,031,536,324,450,
281,823,816,362,193,516,338,627,091,280,747,392,439,454,988,649,376,595,057,
737,468,822,745,107,512,490,539,179,823,609,892,083,510,136,137,805,615,378,
873,992,141,989,130,058,567,958,075,732,323,175,058,361,897,636,923,519,510,
526,102,555,985,859,135,454,116,253,562,540,238,499,228,976,288,596,726,931,
285,034,320,684,706,100,423,173,143,430,131,800,339,102,089,867,302,948,625,
383,788,435,657,216,536,738,701,562,177,368,406,505,570,796,841,268,453,054,
712,312,729,402,067,152,011,425,356,141,838,666,238,876,297,225,450,161,247,
322,955,561,093,061,815,040,671,560,703,890,284,514,624,353,080,095,337,279,
517,293,229,765,677,693,285,532,055,830,071,311,837,266,195,174,253,624,976,
265,696,764,386,110,839,763,670,162,512,308,146,741,567,294,788,880,464,814,
711,479,729,767,530,368,227,191,105,706,591,698,870,123,399,511,462,131,972,
118,180,574,802,350,802,478,236,086,085,525,894,918,052,558,841,467,567,005,
742,971,981,975,441,040,983,509,872,354,790,758,863,199,536,595,147,583,416,
440,689,344,939,857,170,051,979,757,719,870,676,907,668,456,591,821,748,704,
680,905,060,133,560,802,598,318,442,911,644,593,321,025,740,935,199,758,999,
468,472,992,981,414,414,836,653,537,937,185,431,519,741,477,545,070,584,944,
674,080,020,587,977,695,630,911,656,827,118,268,439,840,500,140,680,923,181,
020,829,079,730,155,202,766,080,535,961,280,729,042,153,654,032,921,475,502,
411,736,270,185,565,062,133,027,277,307,901,387,431,436,338,169,899,147,851,
777,415,294,592,846,999,317,006,253,417,992,855,578,673,808,173,984,069,911,
925,239,202,534,040,050,940,308,350,064,081,203,487,061,646,961,508,372,645,
591,244,268,892,332,215,330,954,787,054,585,140,048,012,681,541,014,008,220,
699,589,311,792,089,482,427,178,696,604,287,343,283,533,165,539,944,852,911,
293,299,375,047,340,262,897,085,844,927,689,101,662,342,002,200,301,241,541,
619,741,767,071,528,769,945,581,511,108,724,850,852,389,898,424,922,309,069,
140,835,073,490,846,047,483,539,608,947,244,496,969,249,694,197,189,986,881,
457,011,161,748,099,959,491,958,226,518,361,634,262,596,392,845,228,680,275,
060,002,514,854,229,182,160,625,961,423,216,592,881,693,962,600,553,013,886,
486,067,146,614,787,250,738,332,034,032,830,475,657,681,389,346,945,521,454,
990,266,239,217,074,050,132,915,447,627,155,537,741,128,273,032,823,851,285,
637,016,105,909,970,870,829,083,576,586,352,150,087,786,879,372,010,995,957,
613,694,847,211,854,766,381,003,293,113,029,440,568,303,791,687,761,058,626,
262,671,321,193,519,831,135,820,336,557,737,414,148,976,001,715,837,625,438,
545,033,978,168,478,169,276,944,210,109,343,337,250,242,518,853,050,765,894,
677,705,335,527,492,201,980,106,889,713,680,074,757,662,063,109,205,114,544,
773,086,880,466,073,062,041,728,413,643,781,333,465,431,414,825,087,062,991,
168,733,095,406,731,172,128,995,031,163,265,274,045,521,134,586,809,531,230,
032,976,842,383,130,349,198,187,622,309,437,520,986,762,339,161,890,676,543,
899,430,825,412,529,493,386,311,887,307,523,747,574,742,448,867,034,624,943,
492,195,056,245,669,746,602,707,135,724,745,660,526,417,902,953,204,535,574,
989,311,703,667,735,967,558,309,527,870,328,618,143,295,416,342,975,545,452,
564,486,864,682,612,182,533,907,833,112,937,666,716,411,729,829,622,461,872,
575,688,300,327,595,363,392,263,452,799,993,239,042,097,418,793,598,254,019,
751,785,517,248,434,665,567,335,953,713,325,558,841,715,276,852,179,845,924,
315,339,145,323,797,969,042,461,902,353,755,503,534,289,392,006,758,558,857,
400,710,442,860,082,756,229,977,904,845,696,828,700,219,892,979,755,708,712,
686,422,901,058,681,415,904,473,087,309,416,844,102,834,477,235,362,140,680,
158,977,566,505,108,110,395,257,570,965,608,279,432,107,193,631,528,715,639,
874,893,778,749,096,572,981,670,918,683,435,908,614,043,941,860,996,416,378,
388,076,063,948,646,509,305,534,092,556,450,157,252,582,012,317,341,210,915,
656,718,162,179,232,042,097,874,118,068,517,693,670,603,483,839,695,708,759,
856,685,546,558,170,312,332,628,643,752,922,801,146,764,370,919,535,042,656,
886,244,423,507,596,804,558,073,603,295,134,966,606,969,757,250,644,084,731,
765,364,572,208,436,328,099,813,710,034,112,217,341,513,090,589,867,741,752,
495,347,560,039,761,085,236,468,923,109,544,031,551,385,922,936,706,767,670,
203,289,365,399,885,312,338,461,050,790,135,408,612,477,355,032,711,603,173,
604,871,647,495,045,030,186,988,397,054,837,425,589,641,498,495,313,538,743,
473,756,461,014,862,421,780,495,073,756,365,034,004,437,216,133,062,641,468,
102,503,890,255,716,865,609,904,447,893,851,202,332,036,950,245,166,177,499,
999,038,651,077,306,695,129,969,489,759,154,035,719,271,195,066,379,631,681,
514,131,845,854,002,861,704,601,789,904,311,620,548,890,776,720,691,904,375,
820,686,023,153,954,829,815,238,666,565,986,956,178,791,043,354,431,510,125,
757,912,653,084,502,130,550,848,897,630,570,980,543,649,749,264,634,527,923,
164,365,543,817,857,802,735,177,126,592,549,794,265,491,859,887,873,702,545,
066,678,484,602,456,174,356,131,912,921,620,246,891,459,557,317,845,521,012,
732,229,637,553,989,756,672,055,340,959,188,299,650,231,820,166,228,546,535,
909,927,805,841,153,315,987,360,826,962,415,947,944,151,748,958,175,418,393,
469,572,195,740,389,203,777,256,522,731,070,571,848,950,242,705,905,190,333,
071,509,971,310,222,037,168,734,706,998,780,694,755,743,510,448,103,047,749,
890,351,317,900,089,410,817,881,938,856,483,593,131,779,343,747,613,817,761,
480,411,728,583,280,785,968,301,257,125,140,763,616,416,744,883,463,132,936,
471,236,257,061,914,601,315,865,056,577,677,039,371,187,863,081,686,078,774,
898,166,091,747,639,242,912,691,119,155,560,703,307,901,959,157,254,989,196,
642,325,454,227,283,732,726,578,238,495,481,316,534,718,300,899,216,438,297,
375,890,871,907,103,674,853,760,972,733,894,729,253,814,137,289,978,796,856,
394,266,196,008,906,361,878,157,420,405,549,902,249,889,698,298,907,631,585,
441,049,551,996,764,694,191,929,825,562,143,480,918,337,757,207,409,034,756,
479,818,934,866,265,904,109,307,435,506,127,533,709,451,668,198,430,897,520,
526,170,403,094,007,490,966,726,914,483,831,001,191,035,452,067,878,507,850,
650,393,480,400,144,262,139,193,287,947,611,718,207,479,853,278,299,900,108,
508,887,111,538,226,398,441,018,045,446,048,541,081,804,092,410,108,357,625,
975,811,942,565,812,626,053,490,621,465,045,506,215,633,667,237,413,730,349,
812,346,783,607,810,891,550,340,739,944,507,104,082,431,336,668,481,337,381,
601,818,128,684,075,627,279,733,979,904,657,220,468,139,023,214,794,744,847,
400,922,395,043,121,416,447,796,853,458,369,690,775,694,242,705,714,346,047,
689,043,511,949,659,418,495,328,779,308,126,010,418,953,274,283,205,466,044,
746,082,844,761,037,409,768,645,673,476,270,099,394,255,749,609,921,740,962,
005,751,574,862,155,103,722,282,421,413,736,382,662,922,030,866,286,981,541,
696,102,949,554,640,350,598,463,764,745,372,433,048,899,006,019,508,640,737,
863,305,645,663,487,894,050,232,769,299,970,635,921,519,437,234,366,441,074,
922,536,208,157,620,818,264,591,436,915,567,722,437,285,849,190,266,186,055,
549,062,160,014,823,343,653,257,259,591,746,459,213,054,803,528,847,359,847,
152,245,815,980,903,399,618,133,629,956,622,180,835,848,092,155,138,798,556,
775,501,393,624,253,725,914,332,747,244,783,677,833,240,557,544,249,883,246,
102,622,386,042,218,007,333,157,158,990,784,322,446,205,782,225,369,007,686,
891,601,149,441,349,460,732,733,961,092,534,665,369,884,973,290,940,562,715,
904,044,519,557,048,694,155,563,239,718,599,990,115,966,871,022,275,069,282,
056,847,781,972,115,511,488,001,908,823,939,335,677,624,921,842,514,501,068,
932,948,417,463,200,495,378,629,970,615,597,004,739,784,120,336,858,874,729,
082,748,286,338,449,763,723,015,645,127,469,679,130,677,193,666,015,861,224,
044,791,517,730,494,240,583,156,243,167,618,017,368,239,835,254,996,964,893,
444,708,720,381,465,061,869,598,279,471,321,327,922,728,695,941,851,995,336,
710,869,483,147,572,369,544,079,844,398,885,217,414,511,654,885,938,138,062,
844,900,198,692,515,836,997,653,312,172,947,759,699,381,305,368,130,330,933,
588,683,316,672,303,700,511,238,134,837,538,978,793,099,046,193,623,616,578,
981,575,342,694,495,226,247,524,155,099,874,899,256,704,316,667,237,050,315,
607,187,239,844,038,134,809,171,952,685,828,459,186,177,235,294,599,304,714,
994,302,882,370,094,734,828,871,962,709,726,026,012,164,668,130,237,814,219,
245,860,312,202,574,177,531,999,257,835,814,810,585,365,033,817,202,231,610,
821,779,555,376,445,899,178,084,773,159,624,244,767,236,840,535,784,283,902,
060,186,158,580,288,170,359,224,875,622,889,636,562,851,849,858,679,361,399,
690,812,098,851,144,242,956,859,772,653,347,093,228,741,461,132,947,539,845,
728,151,111,839,713,851,744,870,487,479,583,577,307,865,957,735,867,724,223,
471,885,408,509,397,244,718,920,843,897,646,203,676,787,541,463,860,130,662,
116,034,205,675,722,262,654,930,038,796,396,377,831,141,834,258,547,424,518,
425,185,957,252,026,070,921,741,946,525,954,209,172,474,869,355,797,874,670,
556,601,870,149,183,205,831,281,009,390,250,082,655,122,769,406,380,576,942,
680,086,461,763,274,494,234,006,866,873,623,505,040,828,110,089,003,026,029,
010,426,001,260,915,029,896,719,897,154,181,005,556,558,547,683,500,557,683,
379,264,074,619,439,297,503,781,062,830,199,902,905,964,596,355,120,508,874,
970,620,893,433,884,773,075,683,950,814,579,829,621,532,185,493,544,290,333,
100,085,179,483,934,982,252,800,736,206,092,683,420,689,566,301,607,997,539,
808,794,619,067,971,404,832,257,366,175,895,646,710,386,374,028,994,998,847,
250,464,122,814,212,617,796,034,155,503,264,365,077,849,716,011,206,022,715,
278,631,325,292,771,243,899,063,803,614,526,283,971,143,968,933,009,094,693,
135,209,543,429,057,932,766,312,348,697,307,919,104,803,083,397,777,249,965,
647,732,342,529,174,012,487,514,353,514,855,321,435,828,860,564,477,519,963,
997,436,920,563,119,661,053,033,855,174,070,361,272,105,921,229,207,121,452,
768,201,445,485,949,576,035,219,432,765,432,305,610,133,148,439,517,182,563,
589,201,415,697,484,843,927,257,367,690,248,339,146,344,978,843,017,321,430,
669,028,181,728,256,929,937,010,394,139,434,444,155,683,107,543,738,805,576,
767,009,233,263,721,966,659,602,629,656,447,136,248,983,693,726,762,286,204,
265,869,242,487,178,409,229,460,378,680,311,002,674,140,810,686,857,494,171,
796,053,619,171,619,974,242,040,385,332,515,328,729,614,651,001,111,755,074,
161,186,507,697,207,784,804,645,693,263,438,470,356,974,699,360,092,679,843,
201,970,880,985,310,879,780,205,767,433,178,478,799,024,743,515,290,776,906,
759,251,192,459,404,779,402,804,454,906,839,843,010,946,646,392,428,566,405,
403,747,437,099,651,591,055,355,136,180,075,024,063,117,027,965,540,539,442,
510,864,465,508,617,529,326,935,321,981,342,161,275,568,755,941,903,292,919,
469,131,329,523,404,386,927,357,363,581,885,309,848,248,346,820,812,491,789,
686,921,864,522,205,547,248,202,143,216,975,393,076,194,112,649,041,101,364,
390,565,202,275,843,100,361,522,099,101,865,732,171,174,982,111,691,620,035,
221,701,653,371,705,552,750,562,934,446,401,970,898,120,191,339,899,919,567,
323,748,214,104,513,460,935,325,370,546,758,252,582,724,663,477,916,673,502,
355,693,353,586,655,269,013,619,051,330,558,793,156,592,103,771,506,747,043,
397,420,356,690,639,045,908,700,335,463,612,175,435,224,124,663,181,723,462,
103,838,055,974,443,063,200,363,918,518,066,795,185,885,346,310,484,994,099,
415,529,075,779,546,963,894,163,418,220,398,628,581,013,984,967,762,929,126,
919,412,596,727,993,661,161,714,791,858,975,196,471,175,901,174,143,836,630,
576,674,909,347,799,092,039,317,142,694,674,380,471,087,696,830,374,764,904,
643,576,685,153,210,364,398,832,893,104,443,536,016,074,485,983,706,245,786,
991,038,586,592,708,721,883,742,268,008,098,168,994,347,035,736,054,005,329,
417,579,393,128,110,031,283,256,349,715,872,548,200,490,783,112,729,268,327,
210,678,024,982,033,257,559,292,740,137,865,187,495,083,016,016,638,095,620,
556,215,682,921,597,107,154,759,463,238,255,102,414,997,014,694,771,661,457,
017,259,404,472,821,177,910,280,415,747,227,078,967,487,171,462,259,619,027,
277,085,645,419,032,136,351,817,395,964,707,504,780,918,004,013,741,187,975,
935,675,351,972,901,935,519,094,372,161,476,386,701,550,962,182,247,494,556,
134,613,394,369,502,414,444,907,949,459,397,655,814,829,188,892,148,517,437,
524,113,706,594,905,399,840,860,104,420,347,976,984,337,227,583,796,695,215,
696,004,074,258,787,755,511,313,709,482,370,941,529,705,365,545,229,966,033,
109,154,082,921,900,501,874,238,039,480,416,184,656,827,347,975,900,581,856,
700,697,292,688,368,732,522,669,332,879,870,617,295,799,685,132,813,926,456,
503,564,141,465,373,528,908,669,070,391,105,752,769,994,815,767,830,894,833,
549,633,256,944,835,695,877,030,834,105,486,759,815,190,016,545,847,171,692,
035,457,733,249,419,261,891,884,882,977,775,292,823,593,081,289,460,230,791,
474,805,278,868,739,290,817,782,208,498,036,834,120,241,909,488,445,435,797,
462,636,855,699,326,546,535,352,582,419,929,772,978,525,248,557,725,481,573,
040,324,100,698,017,265,256,434,152,489,668,269,481,294,123,353,697,529,661,
685,780,687,954,879,312,356,010,986,547,569,949,434,353,264,451,110,085,308,
584,126,779,615,093,544,476,195,591,044,937,050,367,447,259,828,762,668,510,
928,435,928,744,394,760,636,559,701,629,901,465,258,336,450,714,446,982,378,
897,211,084,560,243,172,272,319,373,852,261,946,569,741,696,330,267,344,497,
389,334,837,454,385,415,327,575,191,878,244,682,012,200,745,411,731,364,951,
276,218,364,593,583,382,941,862,047,270,018,184,032,366,264,040,680,704,592,
227,645,015,406,020,347,441,296,641,519,114,254,581,995,103,743,926,851,064,
858,128,327,808,924,295,764,135,820,832,963,967,851,375,870,434,800,650,119,
317,409,812,164,420,200,242,880,856,364,308,594,848,264,893,336,085,570,810,
941,534,627,712,809,023,167,390,899,816,991,226,409,382,860,840,132,024,033,
941,510,370,516,587,741,057,886,468,524,397,721,201,568,821,602,549,249,359,
756,808,394,991,410,222,582,172,431,502,969,129,053,407,120,887,532,524,583,
468,417,116,675,661,891,967,513,033,375,320,949,431,224,610,026,798,167,847,
161,113,229,099,410,907,931,150,122,338,522,967,151,639,871,967,771,770,994,
123,070,490,262,905,787,822,264,348,050,269,700,903,521,233,699,266,050,105,
953,846,657,904,853,773,617,982,788,863,979,344,646,047,605,934,597,855,569,
713,027,453,127,534,266,117,386,920,014,276,699,072,670,736,286,521,306,719,
706,500,265,508,647,260,057,006,002,368,046,825,961,154,572,755,753,074,601,
602,491,467,284,649,803,686,008,667,075,569,933,321,205,817,864,853,128,742,
951,082,870,880,080,914,347,887,343,992,587,994,092,658,273,782,599,175,293,
590,813,784,027,554,948,000,842,295,208,836,273,050,962,949,433,253,068,549,
340,313,933,317,932,094,338,647,642,645,380,041,309,642,582,222,644,823,992,
022,673,891,091,256,489,103,637,145,425,730,484,749,309,049,769,466,188,049,
658,341,111,281,541,810,024,259,596,893,963,236,565,527,827,858,551,231,215,
816,100,236,900,904,727,666,647,757,794,336,909,585,232,583,935,574,747,246,
688,835,587,011,407,703,777,436,297,378,401,971,063,270,576,019,308,023,039,
998,430,898,393,945,924,562,421,284,400,595,761,738,506,949,195,984,502,807,
835,451,768,975,450,516,244,303,727,696,090,922,241,040,405,492,009,446,481,
487,012,645,459,810,670,805,431,178,524,103,614,086,067,607,838,942,773,142,
938,560,072,679,801,149,654,857,375,358,606,062,811,526,000,508,597,864,699,
550,407,657,679,959,322,433,874,504,637,770,423,955,716,030,461,600,196,329,
937,684,030,998,891,337,373,061,336,833,087,487,675,856,296,854,325,257,138,
947,127,308,245,678,552,776,169,033,931,605,480,765,439,847,284,072,735,585,
888,425,637,626,411,258,896,019,519,916,013,786,780,432,389,001,338,671,378,
887,956,993,266,683,886,726,191,162,246,862,845,550,649,986,312,721,922,543,
828,083,513,696,767,794,046,101,188,453,044,376,142,990,972,693,759,054,917,
851,477,593,669,913,474,316,004,811,883,481,212,880,688,771,389,739,462,115,
466,393,205,250,628,007,171,558,378,584,631,238,375,510,238,529,176,671,678,
616,311,163,177,727,488,912,895,590,866,137,300,213,537,294,346,496,036,474,
783,612,083,291,356,134,477,432,598,819,908,300,917,386,840,906,456,203,626,
497,538,053,472,057,820,972,860,559,049,836,148,712,389,728,554,367,123,314,
085,528,976,511,988,351,657,504,037,298,987,017,295,470,858,177,999,083,897,
053,583,354,037,288,709,386,348,298,409,701,191,536,994,770,395,032,850,815,
110,131,847,620,778,260,836,626,937,418,209,224,542,205,823,717,989,815,365,
447,428,165,666,481,143,098,647,752,220,004,186,230,625,586,606,425,938,367,
190,805,839,207,299,320,601,609,664,141,597,978,482,467,042,596,820,359,628,
463,682,156,549,023,991,249,397,220,738,726,682,834,174,341,896,929,275,871,
959,057,733,852,832,211,678,690,757,985,169,749,031,450,473,009,317,763,726,
423,137,279,337,994,196,668,603,983,620,464,642,933,677,903,685,567,985,329,
462,738,888,969,213,637,532,696,305,726,097,022,991,897,313,324,124,556,518,
635,127,658,063,248,535,701,524,782,997,526,095,824,497,819,142,027,116,852,
247,859,833,587,737,253,222,364,299,234,872,117,996,438,036,833,786,281,672,
954,329,604,552,950,785,226,931,278,604,642,083,259,243,827,930,103,793,038,
165,512,229,556,370,057,949,348,475,516,117,789,878,381,964,787,945,369,046,
916,350,171,437,606,012,510,752,618,621,118,853,071,565,312,398,278,631,429,
833,536,459,803,131,923,151,705,375,092,827,048,735,890,424,805,282,881,082,
135,026,680,301,759,603,816,354,798,500,438,798,489,241,020,617,615,463,808,
899,256,777,577,695,833,304,678,464,992,641,175,297,896,350,060,615,584,070,
112,305,298,893,168,120,712,021,756,302,913,771,288,562,368,131,565,509,886,
440,810,828,508,143,899,116,953,067,813,997,368,050,373,820,235,422,866,550,
584,428,727,975,710,774,202,804,293,530,335,854,949,400,271,006,321,016,274,
983,397,310,372,926,514,936,292,079,976,705,978,814,046,410,622,387,952,523,
724,105,417,526,610,822,128,949,264,868,344,055,311,932,128,054,937,018,536,
917,983,231,978,814,664,450,003,869,826,126,204,065,529,142,044,148,002,437,
733,664,575,110,523,211,243,762,613,982,339,866,110,283,918,941,696,196,629,
870,283,365,419,589,750,105,924,476,366,535,877,426,043,924,039,503,851,524,
658,647,349,851,466,277,951,407,172,159,974,548,071,775,106,374,281,037,010,
621,003,401,742,223,314,090,753,483,111,452,824,774,960,481,188,180,707,645,
070,904,720,038,287,610,072,759,212,305,647,451,554,009,217,435,518,414,514,
209,247,369,144,409,711,510,981,131,767,618,058,819,218,260,133,255,801,294,
457,389,838,688,820,479,291,557,045,503,059,522,665,811,163,601,907,198,921,
467,575,946,545,776,757,549,129,707,476,171,017,370,313,315,700,080,467,949,
580,246,860,079,471,855,141,075,484,605,209,788,479,139,148,822,355,535,617,
647,456,160,981,081,656,784,463,172,778,340,145,452,706,261,921,291,129,066,
568,628,456,899,549,540,239,343,820,965,955,548,686,362,658,460,287,845,537,
996,615,936,656,066,822,157,548,790,306,033,064,183,438,653,328,425,568,529,
726,839,829,045,161,437,777,376,276,203,790,749,098,009,151,550,291,190,272,
874,184,503,654,177,858,661,942,920,343,061,287,821,042,203,780,599,598,781,
125,082,756,837,000,245,796,198,343,024,745,711,991,674,552,065,716,816,610,
266,414,070,880,986,136,901,741,643,068,326,361,055,650,379,036,243,166,296,
671,916,198,549,182,533,990,074,354,497,271,357,663,370,549,117,533,783,423,
041,799,517,787,537,006,815,386,721,086,475,503,309,749,016,288,502,033,154,
380,951,062,645,062,079,540,179,816,964,598,965,448,755,973,247,965,350,442,
996,266,136,085,492,204,519,565,255,978,743,110,815,361,321,024,101,262,221,
223,594,737,127,951,347,308,185,214,707,674,424,014,753,917,934,819,539,448,
333,723,802,855,333,865,249,190,139,608,255,152,975,892,165,384,390,203,632,
893,814,009,599,974,365,200,247,664,596,509,142,678,801,247,139,294,913,579,
502,106,023,633,070,006,426,952,408,242,311,583,150,579,524,168,855,554,266,
090,020,913,278,208,199,830,896,237,854,865,645,529,988,863,548,346,431,442,
068,496,641,053,257,306,882,265,263,054,741,326,765,158,469,328,228,155,311,
716,927,098,926,334,181,158,392,805,929,795,091,600,674,054,645,342,043,200,
593,438,379,090,788,539,032,407,439,278,132,444,581,625,364,218,410,198,934,
749,314,540,778,825,869,703,430,160,994,246,435,941,749,322,214,937,074,566,
175,763,469,585,496,719,023,123,855,853,486,149,216,037,228,404,559,692,541,
979,081,805,585,303,915,002,254,871,528,312,057,935,379,141,868,690,352,926,
926,224,805,167,457,863,468,958,469,694,029,126,626,367,594,145,986,304,658,
407,915,278,379,629,782,870,122,181,927,883,813,805,566,548,915,269,664,835,
235,662,769,292,490,375,000,856,099,936,132,334,359,291,793,400,602,967,254,
091,252,268,037,865,922,146,322,961,266,764,241,171,163,857,552,099,495,404,
545,447,822,576,081,720,994,656,731,006,529,307,314,747,072,523,536,028,344,
286,371,930,511,949,929,943,631,576,589,252,657,669,110,515,692,221,624,712,
873,352,996,302,773,534,654,510,695,599,351,791,279,928,748,091,202,258,575,
783,292,873,188,270,600,003,045,539,361,832,657,352,192,610,671,249,478,854,
451,274,905,653,554,682,211,537,959,154,206,636,914,157,229,138,558,548,042,
466,375,767,418,348,662,464,617,386,439,011,302,289,410,068,345,604,791,058,
659,553,995,303,302,632,552,320,198,294,220,162,174,291,200,480,513,414,939,
060,268,435,374,134,945,834,918,668,721,452,929,363,484,721,361,313,573,644,
446,729,720,347,536,745,494,315,114,598,196,021,594,459,029,082,405,310,813,
070,307,167,637,675,578,806,981,525,700,700,648,658,831,300,613,732,481,666,
667,887,409,411,727,777,810,277,135,918,597,897,325,948,657,901,117,389,512,
467,084,852,639,002,891,926,731,938,784,098,444,115,868,106,313,765,650,080,
351,804,005,553,087,301,765,054,937,631,256,446,441,314,983,968,604,669,184,
427,285,033,960,793,179,286,676,538,283,162,085,694,311,427,676,607,135,757,
652,853,426,899,938,497,571,331,789,866,759,028,743,097,907,913,057,099,518,
580,463,363,551,828,084,441,851,008,615,131,144,342,051,221,612,972,647,886,
007,662,654,761,335,649,188,636,056,819,567,712,561,168,447,976,733,377,139,
975,577,663,036,078,576,731,127,756,786,976,043,304,191,169,186,042,196,870,
314,565,152,991,510,844,832,149,241,676,366,670,577,964,516,821,268,510,019,
587,044,878,376,295,017,777,272,135,886,380,313,612,237,642,374,736,213,863,
246,931,355,369,038,951,688,487,837,483,563,302,230,248,632,019,066,119,301,
528,161,151,672,483,627,960,097,987,585,380,035,494,004,598,360,813,178,739,
567,939,526,249,512,908,461,296,031,612,561,786,685,057,736,441,006,496,603,
008,608,923,497,051,600,656,624,324,966,878,673,334,056,928,632,105,767,968,
934,523,099,888,246,973,008,674,549,099,409,463,214,280,478,428,601,831,744,
090,969,957,860,567,555,805,001,086,035,087,605,045,537,399,230,434,248,600,
061,019,246,895,700,751,250,369,690,781,490,062,453,468,634,961,739,005,848,
846,620,439,772,883,818,352,532,921,819,027,421,900,320,417,437,158,282,652,
311,234,139,179,942,031,246,792,805,346,520,645,171,303,134,656,722,383,718,
349,525,122,226,320,125,521,607,413,687,161,211,722,616,049,223,097,283,325,
530,106,265,268,757,841,328,595,421,655,672,456,169,732,344,272,759,048,531,
960,683,484,350,183,709,557,905,217,076,650,244,611,855,241,235,636,088,845,
035,665,322,795,981,160,269,572,881,494,993,777,000,537,933,121,269,107,434,
028,617,118,201,166,405,338,136,198,790,104,257,303,683,100,565,288,051,793,
927,231,843,090,688,843,354,710,985,587,349,674,698,835,794,665,443,462,868,
071,856,602,856,269,148,352,316,560,332,331,301,255,580,386,654,290,560,267,
647,018,105,185,325,651,349,471,341,537,438,567,783,025,707,419,264,357,861,
262,484,516,330,112,778,970,025,904,540,292,404,101,800,310,877,987,877,858,
310,671,896,183,847,917,281,676,297,298,796,321,351,905,180,237,772,247,654,
503,526,173,084,798,398,798,342,011,581,474,574,499,489,535,914,658,303,318,
214,342,699,474,939,509,049,325,896,376,299,223,117,770,599,070,105,137,032,
077,201,588,927,797,413,169,985,023,297,641,877,028,479,878,406,379,342,301,
238,894,615,140,296,450,136,875,006,878,379,893,769,563,399,688,506,626,806,
637,594,139,417,508,299,769,056,438,986,475,874,051,288,373,719,242,418,284,
588,867,005,763,943,048,431,613,584,848,988,965,651,206,178,427,848,759,604,
987,400,714,652,632,912,710,318,914,701,850,556,158,160,364,399,193,429,187,
681,013,988,114,937,449,478,704,758,109,273,560,994,468,547,069,336,752,189,
627,979,681,261,041,231,775,976,648,811,205,447,461,415,125,278,959,324,578,
423,404,426,533,448,125,184,049,370,883,999,833,876,416,625,408,750,853,567,
641,005,665,604,796,148,994,054,953,231,497,275,929,574,420,886,023,267,662,
722,162,170,224,843,512,391,914,523,559,022,977,271,080,466,459,210,536,179,
975,161,745,087,301,103,042,378,624,137,162,802,625,460,905,479,451,048,573,
319,962,955,437,260,835,116,048,605,359,591,797,948,070,629,944,119,757,029,
481,677,907,594,125,503,249,924,561,334,917,312,469,229,433,535,922,157,799,
880,577,168,985,600,792,082,126,231,841,244,658,465,003,134,488,857,843,485,
377,984,036,621,084,735,402,914,755,466,808,986,833,192,567,231,822,063,020,
640,629,188,285,886,593,545,039,088,829,528,650,395,705,870,884,092,740,036,
036,666,712,864,582,522,416,619,077,006,507,455,459,272,161,828,414,675,321,
919,947,779,396,570,038,796,778,974,536,276,091,872,691,832,384,702,984,741,
552,900,392,533,500,861,115,206,458,247,788,026,599,526,802,388,235,517,401,
347,668,140,591,575,521,231,245,318,905,939,424,025,819,813,207,782,203,760,
605,240,814,817,466,686,954,538,770,088,988,613,823,726,498,803,734,730,088,
126,827,498,653,053,279,131,638,272,346,089,072,679,497,336,531,029,283,862,
933,315,198,618,927,551,755,965,623,230,810,382,710,441,380,551,722,724,726,
796,656,814,242,689,317,165,862,728,598,247,827,101,011,775,807,285,084,273,
032,401,668,335,055,956,001,229,236,289,690,386,057,739,839,990,809,281,505,
451,782,451,446,412,979,678,735,674,169,256,291,749,576,599,286,291,133,807,
140,818,403,682,627,727,425,299,066,772,567,465,459,389,361,936,919,636,775,
902,580,637,992,544,419,935,667,916,982,321,967,286,359,329,295,258,370,270,
219,619,945,182,102,528,093,792,728,367,035,960,198,124,859,893,104,122,912,
610,140,617,324,168,905,892,210,161,238,834,746,281,301,335,471,997,708,177,
133,268,456,437,139,589,749,091,705,524,023,373,359,960,743,581,757,731,943,
663,537,499,662,191,738,922,389,936,289,184,136,050,577,883,779,670,322,492,
911,480,772,133,372,075,561,741,910,513,081,225,839,534,885,922,864,511,726,
126,243,535,946,206,168,664,003,116,788,104,880,817,509,411,414,974,784,761,
904,893,836,928,417,092,187,853,990,271,541,817,880,456,823,389,080,272,844,
297,275,226,268,781,571,952,373,531,022,985,573,565,200,995,004,032,663,826,
533,181,438,126,948,594,099,939,828,906,377,182,680,223,815,201,571,799,006,
724,427,314,193,530,972,176,023,666,625,875,580,450,575,502,599,986,834,547,
182,216,420,859,826,093,882,184,759,979,391,798,490,906,595,284,113,133,697,
675,433,347,912,509,446,934,819,282,450,490,985,318,243,194,452,399,171,818,
995,394,859,680,070,116,653,520,166,086,621,454,887,843,072,501,046,128,758,
917,958,107,195,629,708,078,964,979,770,856,135,968,806,549,154,835,081,667,
185,352,839,537,743,629,830,570,672,473,345,381,248,532,735,421,214,053,439,
571,527,471,264,912,231,055,896,921,267,446,493,146,904,349,811,320,153,139,
610,666,413,130,304,329,818,503,978,725,507,851,886,772,551,185,260,779,145,
668,146,545,045,379,724,149,953,148,757,834,541,061,227,122,380,802,818,102,
914,501,195,256,427,831,559,336,129,184,445,331,447,950,925,602,171,261,445,
086,378,109,606,961,418,828,390,930,584,240,199,824,707,114,449,650,230,200,
412,266,658,783,089,027,097,096,786,146,961,981,978,805,297,546,001,511,238,
297,304,908,558,272,323,781,362,101,579,240,373,487,601,134,673,795,840,089,
428,134,573,496,106,558,217,167,353,696,508,606,217,283,993,832,933,263,559,
138,199,875,601,904,520,468,651,445,068,402,706,922,519,253,690,491,322,824,
560,533,399,309,259,088,939,257,560,839,599,799,077,969,622,894,957,756,271,
697,727,533,067,404,272,197,422,818,188,382,246,866,686,122,261,290,968,454,
754,449,574,673,747,309,743,671,789,543,663,132,286,858,293,776,839,325,609,
485,698,144,204,178,413,941,197,322,574,183,178,532,269,634,917,747,924,596,
169,233,471,199,992,197,914,613,951,636,439,657,326,678,184,700,729,451,025,
103,370,624,247,722,486,652,688,347,508,499,594,782,270,154,802,739,564,410,
569,804,929,900,367,507,304,867,615,009,619,890,927,237,707,595,082,513,808,
016,998,295,541,302,187,442,402,466,883,924,674,541,782,613,388,082,879,327,
167,959,253,045,523,296,138,868,879,965,473,965,981,263,448,004,227,042,079,
174,280,479,752,904,316,785,981,237,644,008,332,950,767,436,068,204,812,066,
462,919,538,970,550,365,946,087,579,497,830,920,799,578,111,444,546,024,037,
026,959,393,896,390,025,123,619,921,470,618,073,029,371,218,992,802,956,870,
670,018,416,643,443,592,567,646,409,459,636,065,961,029,664,315,018,748,220,
566,401,614,606,987,488,018,559,945,444,382,659,212,606,167,565,061,255,350,
854,548,289,203,261,132,182,428,050,756,979,217,774,771,197,186,488,283,367,
524,827,634,496,853,433,532,467,487,062,338,500,001,611,917,607,808,838,691,
282,833,043,753,232,468,199,696,629,617,180,842,039,264,808,058,791,629,891,
640,599,937,411,784,575,409,756,392,265,047,409,597,194,681,399,075,259,223,
958,768,964,370,239,756,512,910,710,079,803,266,975,820,537,023,317,834,485,
860,431,372,163,305,407,922,396,019,229,916,938,367,030,196,764,908,412,210,
369,284,803,969,813,991,095,516,870,406,937,156,446,984,180,189,531,681,738,
875,331,846,115,956,361,595,818,631,076,659,918,146,958,564,322,845,566,575,
061,075,400,883,534,396,630,644,984,730,161,691,667,163,683,366,100,537,047,
192,460,503,053,600,004,284,020,397,177,127,319,645,129,759,564,182,814,905,
288,540,791,935,457,270,701,368,290,625,826,948,320,679,055,777,322,958,282,
686,873,695,686,255,195,783,712,155,761,115,117,741,876,452,754,029,625,964,
342,431,758,340,779,145,673,363,771,862,796,237,313,554,112,809,216,282,025,
396,767,151,585,806,819,718,899,968,663,784,975,109,614,329,323,422,942,158,
182,268,982,131,041,877,173,800,743,609,753,700,030,187,079,558,397,521,485,
767,010,696,075,579,943,780,945,002,418,233,007,755,392,680,631,674,098,381,
801,169,214,617,085,784,877,261,096,454,105,861,888,047,567,160,357,113,050,
482,496,506,208,540,866,995,683,237,950,255,624,675,131,263,062,424,453,101,
722,891,167,756,436,368,975,558,659,145,381,242,319,326,627,754,387,414,919,
991,480,650,945,535,935,670,213,521,751,737,548,242,207,582,356,917,985,004,
433,366,264,693,351,308,587,670,997,920,523,299,109,166,350,572,637,320,287,
657,000,241,205,346,313,802,078,872,082,280,782,321,796,613,858,442,396,386,
790,750,656,864,114,297,396,161,315,396,131,786,039,512,439,634,519,462,309,
040,787,072,537,154,914,258,228,306,530,354,360,908,183,083,258,488,822,732,
471,223,727,741,351,502,664,609,203,977,383,776,882,421,838,737,975,054,300,
635,774,500,002,609,068,436,956,250,623,059,209,116,499,031,569,217,573,890,
498,941,520,089,936,764,624,771,976,455,987,856,550,111,563,219,286,929,012,
078,825,450,830,497,856,404,601,394,922,454,381,734,483,375,592,743,791,870,
732,852,256,332,091,947,467,271,306,547,236,415,531,539,655,800,506,257,918,
287,835,917,363,259,348,383,647,101,801,323,360,887,634,030,009,199,327,785,
970,408,176,476,118,739,326,179,161,629,662,208,282,213,770,892,946,915,554,
000,940,497,589,666,314,685,136,435,110,535,900,102,941,530,353,903,272,549,
905,066,980,725,328,951,406,382,060,787,569,677,780,530,256,645,501,596,970,
248,270,791,393,527,874,016,892,510,785,753,387,383,073,818,318,787,723,104,
229,258,323,866,618,875,530,471,606,744,794,411,094,133,153,132,632,890,142,
876,220,896,643,719,696,294,680,119,981,778,402,984,970,473,347,315,992,909,
929,048,958,966,695,702,402,625,069,921,022,027,040,257,005,581,651,632,673,
633,857,006,795,122,276,623,661,363,991,675,091,706,063,384,101,103,562,616,
978,180,584,635,262,353,397,035,579,631,900,101,022,999,661,749,847,843,587,
785,267,269,553,138,768,751,124,786,877,475,914,951,871,364,563,853,749,325,
240,028,575,702,821,197,668,060,716,983,414,829,170,215,674,396,505,945,685,
718,029,293,320,809,885,771,296,037,909,282,044,342,607,284,122,322,385,484,
066,353,705,407,961,144,156,912,760,875,021,866,466,261,760,866,784,365,921,
186,371,564,457,399,433,758,041,654,599,109,319,612,736,883,767,364,848,546,
526,768,942,466,346,913,248,151,469,395,463,816,992,146,314,732,183,326,854,
551,485,429,935,326,773,369,180,389,914,278,894,163,106,234,958,064,372,409,
181,791,715,580,069,640,158,548,005,172,084,021,563,652,507,977,718,256,009,
089,542,756,314,216,827,202,496,991,796,457,156,758,767,201,809,567,773,504,
918,144,285,903,471,576,320,597,031,116,048,410,242,989,002,310,481,879,890,
983,945,815,645,754,350,508,718,844,318,711,394,162,269,843,524,674,746,107,
892,492,447,617,326,059,472,825,328,320,495,774,709,792,082,741,031,356,548,
032,914,974,935,296,594,881,373,466,953,792,399,092,258,869,636,814,430,063,
692,282,101,570,214,644,353,896,958,653,231,232,426,927,473,127,663,249,693,
591,970,655,681,210,958,930,933,881,208,981,130,312,945,270,734,935,951,080,
291,953,533,060,116,920,445,183,466,287,127,777,600,041,504,880,486,848,690,
084,128,278,142,410,327,306,444,777,191,765,872,420,079,929,657,997,783,108,
299,243,063,699,330,231,759,896,467,673,130,721,812,256,775,574,519,775,235,
396,459,709,364,461,747,424,193,648,447,543,340,881,804,871,620,071,991,122,
162,814,791,162,967,291,366,723,575,520,233,770,142,053,006,310,750,754,321,
958,596,942,231,710,658,945,033,350,072,806,517,970,095,636,047,829,519,720,
956,231,574,601,782,383,994,824,293,258,349,637,077,241,685,454,361,894,490,
033,266,803,171,296,818,541,285,097,920,505,024,374,256,465,625,400,961,584,
701,906,940,031,497,583,001,088,831,090,564,647,480,206,486,767,758,319,969,
271,534,536,764,732,368,428,896,623,655,666,104,562,180,093,492,413,569,804,
652,458,641,081,061,861,689,158,456,562,792,188,306,637,866,730,066,006,395,
174,613,487,951,274,867,484,338,565,615,787,222,676,944,439,343,274,544,107,
591,857,976,839,478,672,294,880,716,172,918,538,675,644,042,050,288,806,180,
737,992,860,819,867,870,470,481,257,493,315,541,019,923,696,178,989,906,358,
404,525,145,095,315,394,604,041,229,046,699,108,468,781,377,565,655,616,281,
769,549,934,523,673,560,253,246,238,283,357,094,537,051,097,576,278,852,303,
782,009,622,643,414,723,992,546,099,969,314,295,840,482,715,288,290,461,473,
081,817,902,688,445,276,221,725,494,190,236,674,846,717,414,368,754,871,999,
866,188,187,949,614,306,145,641,654,377,016,140,882,667,968,893,641,577,545,
345,059,078,494,782,190,838,323,626,432,559,047,106,178,742,809,154,261,038,
368,378,246,139,806,893,918,498,408,039,011,166,848,242,181,512,398,638,680,
096,440,951,698,277,957,894,558,373,284,472,811,162,767,517,608,600,971,664,
628,249,832,719,334,440,096,101,325,148,529,186,714,937,035,101,660,981,838,
065,693,981,144,964,044,864,941,993,628,186,014,641,355,545,157,017,868,715,
151,665,963,211,649,891,012,214,760,400,749,721,736,386,210,131,727,752,072,
914,008,788,318,133,619,265,191,234,683,658,004,901,553,335,399,585,473,233,
939,478,797,803,404,530,050,579,239,189,886,662,212,334,699,475,582,351,089,
414,930,532,696,574,916,734,719,144,530,378,562,692,077,702,339,010,854,054,
378,669,447,865,524,941,831,013,420,581,673,378,306,779,640,085,392,993,432,
541,073,003,651,718,677,521,061,614,328,907,218,274,315,605,979,364,931,057,
565,880,144,824,713,988,912,368,246,447,322,118,237,496,852,180,010,765,473,
196,685,363,416,771,312,635,226,063,068,531,028,292,849,431,236,191,900,794,
310,251,824,844,772,766,758,514,084,648,737,353,529,422,157,343,265,937,638,
483,048,977,707,257,177,551,542,573,881,828,024,801,957,188,140,388,974,229,
153,662,724,296,740,306,919,138,959,043,903,637,209,917,447,237,145,702,133,
976,745,814,247,068,518,734,723,677,587,582,633,557,661,268,312,664,990,039,
353,606,209,301,585,337,775,051,228,248,465,650,789,171,823,217,782,233,016,
154,471,795,608,725,952,403,656,959,563,171,001,638,974,299,721,284,462,365,
859,761,320,546,447,864,415,839,494,186,163,534,846,051,843,475,498,325,874,
753,555,812,806,421,126,242,077,494,349,079,237,037,995,053,604,094,190,277,
472,450,652,021,635,741,199,202,566,007,252,671,838,333,950,801,957,110,068,
952,166,246,991,083,834,880,544,424,533,263,030,144,712,953,931,799,693,110,
495,699,890,417,800,825,329,887,701,584,930,032,893,957,688,212,109,335,372,
136,423,238,325,292,309,978,516,412,668,797,840,261,966,726,467,134,103,367,
384,042,368,852,628,618,429,276,843,531,276,622,949,185,763,940,467,241,496,
126,175,249,813,307,330,834,019,869,661,737,524,902,883,534,570,085,803,870,
259,036,242,864,160,652,176,274,529,884,254,314,298,638,616,658,908,176,810,
531,524,865,887,505,848,738,250,043,596,317,568,608,311,484,271,748,787,940,
756,310,674,902,308,080,243,568,211,221,870,334,935,492,569,389,324,509,241,
866,948,798,744,717,487,026,906,406,499,589,273,769,948,381,068,687,472,394,
298,374,947,562,608,154,113,505,958,297,334,300,785,706,481,763,058,730,411,
423,498,957,344,020,786,407,846,707,653,842,331,865,604,306,019,527,609,239,
694,854,213,147,780,082,310,045,476,896,997,042,869,347,688,436,740,167,300,
967,727,959,032,290,085,220,267,715,136,815,778,962,324,943,313,314,589,115,
263,022,788,577,347,706,683,833,506,859,139,747,008,344,599,086,012,512,768,
263,437,397,962,731,470,021,630,805,715,174,046,919,281,349,333,520,346,538,
498,725,461,113,089,450,211,706,083,199,478,045,513,446,747,836,613,387,614,
416,844,802,848,198,202,740,133,806,739,649,595,689,973,487,711,012,503,693,
485,326,704,788,707,902,229,464,438,356,471,125,805,166,511,016,356,154,798,
704,471,377,537,226,185,868,790,331,301,806,936,502,427,715,572,407,719,957,
947,526,420,169,617,732,969,291,996,355,914,217,732,076,672,841,796,000,288,
513,051,417,249,607,306,699,381,490,048,690,139,699,326,308,629,715,814,207,
051,807,264,721,056,632,925,647,171,247,227,004,709,182,570,383,102,216,153,
863,705,050,282,429,634,564,424,297,563,042,296,007,513,896,813,243,179,071,
630,729,120,105,487,428,250,561,535,814,051,161,343,969,900,223,452,554,821,
602,848,642,382,073,328,623,287,023,437,172,106,360,754,841,253,185,419,191,
515,540,299,908,922,420,558,173,117,676,233,060,097,815,540,793,150,971,111,
620,698,929,497,627,850,372,971,270,179,954,276,395,002,495,821,031,203,362,
328,123,673,411,581,171,062,549,283,183,208,959,558,577,079,056,008,749,271,
644,908,852,111,648,818,142,844,975,297,626,646,418,644,557,943,365,672,840,
957,721,873,134,569,411,092,694,182,125,215,344,688,880,067,955,370,707,222,
753,193,528,006,808,490,217,074,793,761,645,633,587,177,040,303,101,462,921,
104,617,663,107,073,179,066,440,903,743,353,230,912,700,138,417,785,778,046,
936,417,278,981,038,405,471,615,438,745,823,912,448,951,748,083,566,266,315,
534,610,303,351,057,662,344,954,599,782,407,695,712,439,091,932,776,968,235,
695,318,633,040,683,514,807,643,530,926,966,018,688,524,578,638,272,542,928,
411,791,565,477,026,082,077,851,357,417,037,545,505,553,937,978,873,323,203,
567,090,270,560,876,653,094,652,970,768,477,083,029,394,975,002,563,139,945,
771,455,685,413,809,816,248,053,366,425,285,012,750,152,403,230,447,413,019,
911,334,014,784,632,221,423,710,423,724,282,392,591,193,620,702,712,635,431,
895,868,320,969,388,577,920,808,317,692,039,966,211,162,280,126,425,502,685,
841,858,777,546,397,966,038,046,405,482,063,458,321,233,400,422,674,288,975,
016,969,244,040,872,318,554,086,099,867,822,710,861,817,381,260,691,952,314,
908,086,952,375,192,911,235,212,578,430,444,221,668,358,895,473,872,144,072,
633,041,423,207,641,632,291,355,980,719,329,803,321,324,351,728,929,990,297,
813,400,763,695,701,222,618,495,742,944,102,699,499,978,986,029,452,591,993,
782,189,112,487,598,192,887,305,975,952,589,393,511,771,966,063,072,983,642,
401,581,695,097,186,713,817,081,229,177,383,568,998,787,645,984,784,910,110,
899,356,689,883,027,018,025,277,374,221,205,169,701,878,220,720,349,717,811,
893,088,510,682,072,124,825,632,641,723,381,742,101,905,313,014,613,308,883,
737,431,069,621,516,327,358,969,012,623,933,120,933,687,538,620,116,348,521,
692,773,192,541,821,602,223,965,121,216,835,364,885,515,369,153,025,176,454,
998,727,234,855,006,953,990,691,559,777,488,332,678,744,620,977,507,474,313,
056,951,788,535,846,357,902,643,217,869,191,469,267,219,385,848,833,858,918,
395,016,197,215,333,207,061,893,901,262,312,838,684,911,236,728,498,465,094,
757,851,108,857,884,569,851,843,493,820,357,836,973,849,565,427,276,945,658,
965,136,688,986,918,538,566,808,928,143,705,343,413,810,024,494,357,621,983,
458,867,930,800,251,376,792,009,639,488,220,288,812,977,612,602,365,025,191,
915,815,450,842,071,935,729,856,550,275,284,975,224,521,560,983,525,204,562,
385,110,462,472,367,197,967,163,477,495,435,310,531,662,937,245,953,161,212,
613,929,810,063,653,484,290,870,736,864,751,467,896,159,436,241,934,188,826,
550,546,899,952,776,233,928,700,565,829,504,379,683,323,744,046,888,359,363,
509,325,317,092,127,214,024,146,160,233,766,054,128,079,871,147,605,803,677,
451,101,637,728,536,708,975,452,507,022,185,943,000,955,437,855,392,771,411,
491,490,919,010,669,995,191,201,900,903,632,227,881,829,433,141,254,686,658,
967,553,792,017,755,592,939,275,431,487,627,834,116,919,410,905,226,853,916,
940,031,891,116,796,275,274,782,816,239,757,125,180,495,816,780,390,291,513,
468,280,263,951,801,172,709,359,377,658,991,996,464,291,809,604,657,963,400,
112,497,958,603,233,973,358,867,305,959,219,755,693,283,806,558,620,617,946,
570,741,716,669,784,247,094,472,398,047,980,316,237,681,810,114,539,743,582,
029,469,207,777,827,429,680,193,736,854,082,893,251,641,697,600,718,927,477,
287,144,706,135,180,293,967,217,883,140,817,842,586,377,573,883,773,660,975,
855,654,181,272,636,877,760,280,988,748,086,926,588,920,713,669,775,894,063,
325,228,716,495,319,845,155,491,272,615,262,971,231,609,372,389,547,379,275,
766,745,923,704,172,408,035,048,070,907,768,004,961,117,426,159,682,903,795,
051,764,460,142,331,746,711,632,762,151,977,443,039,566,954,080,056,078,829,
175,662,813,590,894,307,134,023,831,171,487,037,226,604,119,124,164,550,536,
322,182,443,671,169,599,989,804,840,825,184,903,760,664,204,372,055,955,988,
643,851,754,510,390,109,090,546,725,457,244,206,498,347,294,899,978,425,207,
766,790,426,075,470,021,224,048,866,534,237,799,943,307,542,330,053,281,635,
666,095,732,869,555,211,638,869,105,989,504,002,126,875,245,046,385,422,477,
874,966,556,134,763,897,940,890,236,201,583,912,087,456,832,826,903,176,224,
305,873,272,154,947,809,460,158,544,757,729,694,306,821,903,320,039,082,133,
391,640,826,415,804,931,989,757,711,473,071,747,312,505,077,432,062,301,330,
040,123,022,252,146,316,788,538,696,491,277,510,501,716,757,588,645,474,399,
417,600,543,546,561,022,818,587,102,858,763,869,650,719,484,342,502,594,349,
485,147,225,617,382,447,910,568,119,485,491,245,444,748,286,083,736,247,992,
590,512,468,705,836,973,336,395,708,184,480,922,321,246,254,326,118,659,458,
469,452,069,389,924,562,283,319,772,979,260,506,326,666,700,739,544,717,547,
318,848,099,748,249,879,855,243,362,816,602,314,093,309,910,536,755,676,416,
910,601,552,338,965,620,814,012,415,759,161,609,537,280,061,532,373,184,192,
376,494,976,483,072,398,842,242,291,283,127,435,469,770,524,592,356,688,505,
769,220,357,757,971,252,633,064,169,861,090,178,603,991,137,981,587,106,587,
210,206,705,563,843,247,494,603,957,522,489,162,763,872,800,899,082,787,455,
498,810,504,394,979,373,043,393,392,873,243,207,398,529,516,789,150,354,329,
317,865,172,921,639,920,601,975,694,318,015,888,781,901,685,425,213,829,255,
739,769,367,889,709,623,861,115,410,883,333,803,630,966,159,850,493,734,559,
936,954,196,794,152,078,673,672,771,338,718,249,021,070,595,989,681,558,022,
039,981,755,288,129,824,710,197,240,330,840,164,441,589,103,711,900,501,659,
177,775,112,077,075,194,778,117,064,997,794,130,393,986,469,606,218,677,191,
918,408,927,748,801,197,401,760,419,694,871,713,488,302,708,711,854,528,863,
902,790,331,116,614,737,951,267,325,988,635,721,528,584,348,066,168,526,487,
615,553,835,896,431,489,657,361,545,615,231,952,689,946,614,619,998,093,139,
071,893,535,678,501,592,395,507,715,429,001,958,832,931,155,956,443,916,215,
465,010,081,234,527,044,769,527,424,772,495,276,905,357,691,663,600,425,478,
783,985,947,360,345,620,032,988,744,534,888,272,567,780,318,524,983,505,792,
389,921,326,070,728,173,490,641,017,021,085,686,349,449,629,929,850,981,977,
094,111,626,383,712,743,116,607,855,223,145,353,364,314,097,570,193,195,910,
705,896,796,423,038,326,882,629,712,515,750,909,379,683,565,782,620,913,183,
055,608,837,878,463,646,027,129,868,228,693,042,625,440,507,170,478,447,529,
171,124,267,214,124,157,893,053,525,888,284,871,814,174,605,582,983,632,645,
968,881,345,661,659,948,327,292,890,747,986,994,915,063,025,226,002,372,868,
957,338,819,888,074,769,028,329,616,196,679,333,390,768,111,832,760,966,175,
257,351,987,090,624,705,412,061,769,353,435,866,374,428,446,802,133,767,768,
969,983,224,331,400,344,909,787,982,826,130,566,729,370,198,700,114,037,538,
503,646,622,952,100,245,770,967,077,789,078,451,217,561,117,077,790,292,928,
650,435,280,823,540,528,447,919,630,043,022,566,681,907,566,406,236,798,690,
441,920,816,218,048,370,418,850,799,849,113,672,643,455,595,783,810,512,948,
392,386,743,343,765,100,756,698,336,424,130,877,650,834,529,906,440,594,502,
480,380,605,083,662,088,664,302,954,533,983,624,956,583,523,802,330,089,130,
563,882,344,181,999,707,146,606,961,407,762,371,832,607,433,850,977,516,893,
466,838,243,228,260,318,020,423,150,491,961,622,573,127,346,187,910,456,739,
512,180,473,718,570,745,367,219,526,968,683,400,684,799,304,551,856,800,824,
382,000,525,179,995,846,138,438,122,886,931,715,622,048,889,179,157,396,859,
481,235,088,810,417,801,203,736,524,906,816,495,456,953,271,080,679,663,338,
644,425,848,312,551,397,047,410,893,383,819,312,868,848,748,223,046,282,820,
373,781,437,356,157,758,960,107,591,200,352,187,028,200,850,186,743,590,686,
276,511,878,573,814,063,699,756,098,121,263,281,151,605,182,530,467,112,832,
673,731,291,018,279,186,818,554,143,883,116,398,738,042,626,858,014,920,182,
507,556,470,939,352,054,752,235,066,231,286,137,012,375,622,198,915,782,122,
749,917,845,958,631,082,708,283,943,337,369,122,247,913,791,591,668,717,864,
482,622,069,793,236,659,117,698,312,449,968,821,366,707,941,372,966,222,619,
927,708,400,071,433,365,883,786,577,193,214,740,287,989,209,923,508,823,832,
237,396,645,222,518,757,831,221,147,573,512,811,306,027,782,004,007,484,317,
259,171,044,844,094,595,724,232,305,583,295,071,563,865,048,657,248,747,246,
861,643,631,123,810,009,023,062,162,291,106,096,713,859,224,934,869,297,967,
966,097,976,834,120,820,729,950,948,034,421,423,771,823,792,281,249,791,795,
932,612,585,962,130,276,603,498,875,883,623,250,195,063,885,882,474,834,055,
324,727,819,617,157,510,565,255,149,230,915,233,387,749,726,613,073,495,319,
888,244,558,646,913,294,307,035,548,494,857,800,364,092,078,815,432,387,939,
736,502,324,000,197,159,751,631,897,690,920,376,980,109,192,877,509,518,960,
208,658,872,570,015,307,546,266,952,705,417,916,160,912,681,410,870,379,909,
941,938,538,679,889,061,028,365,574,333,535,465,918,502,815,094,537,530,709,
631,249,019,870,417,614,002,862,051,319,334,014,861,888,383,019,214,140,278,
284,630,070,541,518,594,719,440,543,837,224,933,947,149,569,412,932,729,504,
022,980,722,273,482,108,761,585,092,898,948,483,048,977,331,012,965,956,315,
784,353,702,636,167,489,472,384,905,352,063,461,235,400,382,625,836,985,843,
301,275,237,890,943,355,900,955,334,210,904,239,661,209,633,530,549,605,128,
475,184,202,448,229,089,884,478,427,364,964,350,392,638,071,077,195,069,300,
142,205,759,571,542,840,244,132,924,002,616,497,154,789,618,236,902,732,610,
726,279,004,029,618,637,238,142,796,540,249,525,775,649,902,031,326,486,387,
850,504,497,292,854,169,974,068,801,341,101,585,893,109,971,110,508,248,791,
049,213,599,876,435,983,502,669,444,408,120,310,689,616,169,357,941,939,059,
310,729,985,452,681,974,722,535,779,187,218,767,075,478,448,804,030,381,259,
400,333,267,906,612,529,440,662,619,607,733,174,990,995,845,804,978,184,833,
126,245,908,763,714,946,116,307,923,461,478,760,411,085,304,139,116,943,439,
318,222,077,526,061,912,022,243,537,384,320,326,291,823,774,653,470,987,511,
077,203,938,898,737,029,652,529,011,428,705,216,578,348,731,609,871,252,035,
415,304,101,890,872,229,795,477,438,296,176,835,963,981,686,082,048,486,510,
352,768,840,098,533,301,638,140,995,813,682,309,894,663,279,615,350,020,978,
418,512,838,476,337,723,408,028,370,926,559,020,736,777,097,775,451,970,885,
876,319,674,035,806,214,695,611,762,886,397,471,753,398,004,134,515,130,459,
255,498,938,736,005,135,722,738,617,799,654,522,717,253,002,203,005,234,204,
692,864,474,899,085,612,962,533,844,386,657,630,921,062,294,391,856,235,894,
369,061,689,970,697,964,315,152,138,300,168,381,348,881,073,192,596,168,401,
049,804,020,017,617,260,426,466,767,520,964,798,354,565,631,122,376,856,508,
348,036,637,474,348,830,289,022,651,077,460,386,326,535,814,444,017,638,615,
626,865,092,709,893,805,456,834,746,226,058,786,749,742,383,482,873,571,710,
891,303,108,928,704,462,644,778,871,344,504,730,573,383,050,115,345,692,050,
114,412,259,955,900,093,875,358,325,830,107,421,968,788,625,968,986,728,571,
028,754,099,011,016,745,230,431,305,824,269,255,145,906,056,093,108,772,493,
863,664,217,103,656,130,932,619,439,237,790,850,196,239,130,386,826,475,085,
154,702,453,804,741,379,213,585,915,058,535,181,647,460,436,748,840,495,438,
528,969,716,721,034,375,132,325,040,949,743,793,286,315,429,043,363,014,825,
998,328,476,466,253,705,822,652,573,599,362,858,282,129,368,886,816,380,922,
162,735,048,380,876,178,134,595,326,873,384,792,201,929,159,692,981,140,669,
034,238,444,936,668,536,619,495,609,423,023,306,894,502,949,004,368,830,946,
530,528,394,762,595,630,429,273,771,260,278,328,319,213,357,956,014,277,594,
497,455,784,272,366,112,170,610,100,779,246,103,505,138,173,207,581,495,277,
160,476,787,610,043,850,855,546,191,698,271,741,669,974,187,187,630,398,416,
666,333,933,297,525,300,256,626,177,524,730,462,058,367,358,179,456,267,926,
731,397,743,192,926,913,631,218,597,946,603,604,064,564,672,898,213,785,500,
251,652,762,992,739,666,878,570,502,591,231,074,423,968,268,830,539,784,608,
145,658,764,120,326,579,860,238,146,029,614,285,922,352,600,980,982,561,068,
735,385,094,903,098,756,211,972,295,482,366,090,686,726,362,889,511,664,184,
225,438,119,354,781,471,842,912,045,249,674,716,087,226,997,240,303,732,169,
101,537,252,409,064,698,979,579,484,381,567,758,511,769,841,265,860,662,335,
612,353,675,262,703,625,716,241,518,866,322,014,006,842,084,541,904,906,982,
017,894,914,359,502,996,662,382,281,525,213,499,413,540,507,470,786,747,555,
898,913,131,652,049,883,133,249,356,044,049,373,676,759,288,096,695,751,797,
473,740,196,463,791,257,269,346,554,622,498,856,713,991,459,317,728,862,392,
741,052,120,495,849,585,801,639,047,818,915,976,191,821,045,456,615,501,574,
537,062,683,192,755,754,117,283,639,413,306,604,782,776,264,056,119,031,105,
530,948,303,464,943,359,132,573,534,698,230,384,447,738,388,616,175,110,163,
687,699,206,738,314,572,910,516,319,755,512,356,170,044,907,448,529,380,662,
730,226,684,919,032,521,733,553,868,752,494,788,028,653,192,414,312,013,780,
342,343,201,983,250,312,272,220,030,588,058,083,554,842,589,648,079,620,783,
775,480,508,209,193,683,550,690,012,115,068,027,192,136,420,995,346,674,633,
220,128,382,625,543,730,671,832,262,668,877,211,845,271,208,832,568,234,521,
099,889,364,533,649,327,924,572,021,435,076,571,850,333,818,155,869,808,440,
006,786,388,738,042,005,327,529,216,016,602,056,301,590,861,836,460,858,376,
371,398,194,514,375,347,480,177,432,412,210,988,475,634,423,376,218,667,769,
956,279,583,508,115,612,741,180,958,000,893,226,089,109,957,899,558,629,161,
563,316,905,404,384,560,232,681,782,414,944,151,580,995,578,890,939,313,347,
552,129,058,652,808,512,753,073,821,259,881,751,392,289,027,148,705,676,238,
130,294,276,563,068,812,520,748,945,234,301,814,870,815,674,836,473,413,446,
769,508,390,955,206,137,121,041,621,408,353,494,495,793,455,419,866,563,739,
184,092,672,219,622,411,932,530,596,297,246,054,608,187,425,018,001,563,461,
189,727,363,778,654,019,855,055,334,169,216,259,349,370,772,980,528,473,603,
832,184,523,375,346,325,292,345,638,181,970,349,733,936,281,326,184,146,176,
267,730,032,119,596,107,281,902,088,231,410,864,734,505,689,472,618,089,625,
209,128,592,351,814,642,674,323,506,896,577,465,681,352,830,426,035,892,220,
281,539,665,812,987,658,307,830,857,529,496,884,697,617,068,152,197,554,618,
171,601,471,613,449,950,198,232,052,941,744,656,943,679,134,514,174,265,247,
033,785,123,639,882,932,613,708,619,003,808,494,759,476,956,264,295,083,375,
329,652,347,786,940,699,341,048,407,025,362,160,399,303,497,316,447,944,298,
374,019,507,955,593,615,532,455,711,709,613,106,175,199,162,756,160,278,141,
840,175,990,108,512,344,564,644,141,328,716,904,614,229,702,375,352,999,270,
803,883,045,853,576,717,612,178,565,441,418,717,937,862,933,331,506,235,171,
620,307,223,750,387,674,437,613,906,097,874,638,594,927,384,474,396,254,265,
020,380,540,323,509,162,046,844,410,350,863,262,444,573,783,069,086,781,156,
027,918,190,112,197,200,728,145,271,373,566,771,063,851,495,659,474,531,997,
505,099,505,312,407,841,491,112,109,911,042,618,295,520,570,475,443,150,645,
241,520,598,573,265,058,021,180,785,138,750,421,917,825,166,917,343,646,159,
293,638,197,476,334,346,010,982,306,224,684,244,319,382,738,956,699,902,140,
833,615,998,197,426,374,682,103,024,048,571,146,247,056,064,401,816,508,595,
418,198,423,723,670,629,723,756,242,597,523,937,967,962,161,147,041,270,161,
013,676,965,121,197,559,897,048,504,858,823,957,015,299,595,607,190,952,913,
140,791,103,376,508,527,434,866,385,398,450,644,894,442,866,080,901,377,801,
304,461,742,665,760,477,662,992,884,221,545,948,760,403,993,426,262,131,514,
601,186,236,346,611,491,358,853,882,729,207,200,202,137,989,738,558,615,842,
354,461,299,543,962,187,774,981,397,548,888,228,066,263,384,351,928,875,327,
142,888,194,903,231,080,007,774,186,606,870,262,882,723,800,707,940,128,014,
856,435,520,181,671,300,842,388,398,129,202,034,546,434,800,502,322,076,134,
018,395,024,939,326,582,403,963,271,598,649,000,246,431,098,075,232,175,320,
131,984,157,102,570,589,772,950,100,196,913,887,021,614,675,901,467,303,833,
414,353,041,747,990,655,134,806,653,604,771,906,420,970,129,441,758,424,289,
925,163,140,420,344,145,817,067,601,281,952,441,643,360,780,624,325,045,790,
893,482,167,562,739,373,090,411,252,151,491,067,340,260,153,120,936,885,725,
636,632,870,124,094,351,431,479,133,169,730,318,415,155,703,135,608,110,276,
546,419,980,691,091,058,356,784,592,049,688,280,949,669,554,783,246,858,788,
839,090,000,036,781,907,252,250,142,424,752,142,825,479,677,825,245,522,304,
282,481,183,200,154,229,849,114,430,630,384,537,765,103,805,473,993,484,563,
173,281,475,982,151,249,814,791,584,705,061,364,245,135,168,452,983,313,690,
632,508,370,314,920,385,588,611,118,285,937,846,920,146,759,237,820,682,089,
884,908,834,118,772,606,546,588,792,010,804,249,227,199,633,235,059,906,151,
914,925,134,103,642,007,077,038,026,348,002,635,993,443,969,608,691,881,640,
379,363,421,506,023,958,706,320,913,304,629,239,803,405,215,232,185,545,726,
442,432,785,660,047,720,409,615,238,461,739,338,816,075,839,370,222,579,766,
391,994,489,745,606,176,592,793,481,319,994,874,061,390,660,099,344,634,049,
418,650,715,887,097,756,342,368,215,476,219,052,737,663,847,268,504,738,907,
329,426,184,954,205,954,432,105,378,234,125,955,495,454,676,940,854,806,522,
303,850,693,022,647,834,224,852,415,040,806,316,209,523,713,213,843,014,094,
514,946,474,495,631,491,735,087,770,297,186,142,292,636,227,669,561,165,915,
319,407,839,125,178,760,207,305,242,087,121,634,118,507,138,651,047,717,918,
536,453,466,119,255,001,913,088,936,065,484,550,714,393,553,248,900,882,711,
464,692,594,373,211,453,752,570,024,334,491,674,837,134,399,094,978,307,860,
125,473,206,679,789,034,396,627,750,554,833,979,691,649,173,599,910,083,025,
314,707,666,153,259,094,829,760,241,903,809,666,273,683,320,667,407,704,125,
352,415,511,004,238,452,192,571,675,589,027,890,912,135,899,286,016,789,920,
071,794,404,739,631,150,453,204,371,952,664,847,333,886,986,944,757,998,422,
482,237,282,525,129,650,483,062,510,644,496,887,509,153,771,676,906,657,020,
341,296,580,912,702,911,864,762,894,045,382,470,006,236,642,816,735,741,900,
670,336,499,716,858,235,204,502,031,969,797,461,071,327,389,569,192,979,308,
987,444,728,200,507,132,928,084,955,661,692,726,951,516,135,397,897,655,582,
679,981,085,412,498,577,181,319,726,458,503,800,100,472,509,094,867,591,915,
176,506,768,584,388,994,448,076,595,855,576,232,123,390,599,830,561,220,616,
860,293,416,501,607,950,194,160,234,970,575,477,003,309,133,716,314,730,084,
648,317,178,432,174,779,822,635,680,604,313,728,884,321,791,576,332,647,419,
354,875,281,294,580,692,582,689,745,067,209,990,735,065,423,779,002,433,360,
390,192,111,449,263,557,319,637,750,448,572,826,767,346,966,950,873,146,552,
071,458,784,630,895,453,081,631,565,117,914,405,770,893,936,870,724,083,707,
456,083,550,309,946,812,288,244,430,579,992,243,355,447,259,662,358,752,784,
471,977,018,210,315,835,897,829,966,207,813,421,705,261,277,574,592,864,820,
013,962,594,788,049,642,774,971,746,228,458,451,643,599,780,412,500,711,598,
289,273,589,756,282,671,701,603,874,810,605,986,610,570,960,725,110,437,684,
843,231,333,361,719,561,307,381,954,189,101,067,836,924,396,132,039,444,124,
832,875,886,084,852,666,786,404,132,529,497,917,263,229,423,554,255,204,041,
463,734,819,371,275,987,023,929,270,251,737,538,817,646,665,252,503,315,225,
104,330,728,796,802,118,252,629,848,328,368,239,811,501,586,679,322,059,112,
530,662,559,185,114,465,996,445,091,136,462,423,975,129,499,046,866,475,735,
500,740,309,063,985,873,430,078,452,010,695,684,034,458,184,694,562,642,028,
924,066,049,134,066,230,937,383,111,554,426,987,985,894,790,705,726,661,811,
078,557,802,834,752,777,958,399,697,974,162,780,071,853,404,405,293,588,141,
368,382,846,193,147,912,937,763,605,628,104,116,222,588,324,186,299,119,582,
590,737,735,837,593,398,713,935,535,201,664,755,405,614,078,955,838,379,334,
778,337,471,519,612,249,685,472,717,047,488,610,434,546,144,051,811,141,499,
271,345,220,357,761,044,297,453,779,830,275,360,769,610,677,589,490,569,155,
166,008,526,575,490,435,284,477,624,817,442,378,093,586,187,271,116,878,116,
822,157,086,696,262,967,268,798,367,198,504,156,755,846,546,848,180,797,791,
237,980,755,314,730,479,932,590,013,484,095,935,241,947,272,622,588,502,883,
050,568,944,047,530,803,260,942,412,345,569,490,722,327,948,980,892,740,777,
110,736,443,574,041,979,437,093,449,229,404,086,896,898,133,741,397,687,219,
073,782,809,468,664,670,772,354,515,325,713,398,864,769,089,199,001,631,946,
781,061,915,753,947,362,766,688,454,144,502,267,350,764,381,363,428,211,661,
866,108,756,573,005,066,640,428,315,970,158,461,443,569,222,162,674,359,965,
087,965,574,837,563,080,302,806,043,609,830,080,318,178,877,909,887,709,240,
189,115,015,168,803,983,613,551,596,359,567,901,893,950,816,398,315,541,905,
762,023,774,240,168,688,673,648,388,061,692,639,166,035,284,934,681,186,502,
112,077,237,924,238,677,820,745,487,269,204,087,609,468,188,160,447,118,450,
616,785,266,177,877,612,421,216,359,173,861,117,896,599,435,363,925,460,667,
677,143,898,775,879,946,256,220,357,784,744,588,881,329,304,425,630,642,452,
005,843,118,506,740,822,098,448,173,572,170,904,818,850,777,238,589,038,732,
730,635,338,998,956,666,389,493,293,586,820,902,057,693,251,605,800,430,339,
561,202,841,495,494,408,917,093,558,343,402,318,105,421,465,075,922,618,855,
821,533,735,909,291,244,537,222,174,742,609,271,408,541,509,470,701,249,833,
049,295,814,384,234,332,422,690,751,564,643,165,904,604,873,250,161,496,594,
213,977,431,261,595,973,243,850,111,690,217,908,129,950,613,553,102,840,003,
926,782,769,881,663,465,818,186,931,746,148,618,406,162,884,220,021,636,503,
369,369,723,977,666,635,097,850,135,603,795,035,647,597,958,665,521,438,262,
758,185,797,340,970,592,485,258,007,933,106,121,603,258,877,241,334,939,167,
114,057,924,579,738,506,935,239,647,200,670,055,071,161,389,883,929,098,930,
757,578,837,703,027,064,650,771,567,385,887,292,849,147,276,374,535,247,959,
871,820,160,195,859,892,493,953,911,370,363,838,192,930,738,093,635,673,942,
370,210,966,287,487,551,750,681,879,393,108,073,349,391,026,630,363,324,085,
079,699,128,414,389,392,196,061,971,279,738,617,841,320,185,679,848,867,023,
962,682,619,310,618,948,744,313,268,108,095,631,026,250,747,281,582,171,767,
316,246,337,974,101,305,667,271,268,159,574,985,256,598,174,269,324,511,380,
081,413,977,090,235,861,497,227,147,058,679,448,614,832,362,170,608,282,304,
218,272,996,197,005,756,738,730,122,464,768,318,342,914,124,605,865,091,331,
429,005,381,512,223,887,469,690,196,095,013,097,938,852,142,304,140,671,287,
598,589,822,017,190,600,473,941,159,786,824,672,793,032,890,404,818,287,228,
681,749,224,442,660,375,909,888,663,822,537,536,908,115,988,158,539,403,962,
881,035,212,281,171,928,164,124,815,247,129,995,793,431,576,992,794,050,901,
563,500,322,646,080,558,954,466,167,888,221,245,773,116,527,906,135,696,449,
500,669,045,961,717,287,081,552,178,792,926,097,954,003,768,265,290,946,510,
190,174,999,711,341,377,660,511,204,594,353,971,249,812,149,166,233,923,325,
253,580,760,419,641,213,178,622,310,925,782,099,773,739,806,759,355,608,098,
270,995,728,891,803,193,917,113,769,635,965,755,189,143,966,275,330,137,775,
087,955,275,700,818,012,996,880,087,403,135,383,673,291,575,979,807,606,210,
219,902,834,672,764,043,645,533,078,567,135,585,904,875,758,674,652,856,913,
930,866,951,393,441,995,430,889,343,437,768,627,014,464,127,888,815,390,676,
391,652,756,412,513,539,766,026,136,297,487,950,548,274,201,250,065,756,007,
750,609,872,189,940,926,109,606,555,503,879,771,297,153,191,938,690,503,698,
022,996,012,322,528,869,194,350,234,592,224,769,011,273,503,239,533,136,556,
831,331,560,990,445,593,364,528,652,536,601,810,274,563,030,181,531,131,479,
918,240,011,185,937,490,711,429,113,579,087,698,592,257,371,695,859,542,342,
232,645,423,861,025,819,367,772,508,920,620,063,268,945,362,122,926,704,035,
444,263,894,554,930,573,041,595,322,083,986,388,085,733,214,693,920,546,262,
521,648,542,534,494,696,182,626,413,699,125,096,856,649,108,557,937,778,095,
052,835,720,264,285,098,042,964,598,200,982,169,481,834,171,173,259,551,957,
328,184,005,680,207,948,190,535,490,114,646,032,546,796,080,637,390,631,775,
896,124,740,050,617,570,184,815,897,364,376,423,586,312,917,237,065,786,937,
395,536,242,870,021,571,048,550,160,265,226,670,357,312,432,008,510,481,631,
888,082,242,721,685,891,028,167,296,021,126,904,528,572,870,935,283,484,334,
651,704,746,927,556,011,196,513,390,738,306,904,384,573,287,105,547,328,931,
006,120,507,029,048,941,809,899,639,902,958,148,123,514,960,395,639,243,075,
331,044,435,294,638,628,708,610,810,835,098,319,110,537,934,085,554,774,338,
584,390,563,065,491,603,615,745,754,331,942,303,359,880,939,820,619,998,997,
740,186,042,165,012,220,782,689,801,809,984,603,562,953,213,875,896,543,842,
644,249,509,452,937,698,279,248,596,880,989,360,270,004,510,361,269,804,604,
140,566,125,368,132,112,905,745,629,953,043,621,625,810,820,175,965,031,507,
258,397,417,855,395,939,117,371,778,537,458,720,914,914,141,284,881,426,910,
617,545,438,701,699,289,310,565,858,314,086,120,550,545,692,481,522,024,740,
488,879,346,241,411,870,251,862,759,506,892,250,023,961,354,920,763,035,367,
343,118,503,375,670,232,800,061,263,217,062,966,112,850,511,004,489,897,385,
793,598,049,301,432,209,597,265,275,383,958,523,732,089,760,448,860,578,160,
591,574,475,945,770,682,998,851,524,411,723,816,756,950,938,228,141,875,043,
678,471,267,814,006,609,017,511,676,952,332,277,276,799,646,032,995,871,895,
940,497,541,664,268,990,434,307,077,524,925,757,173,619,503,094,457,080,989,
460,166,953,483,182,863,993,966,622,380,365,625,753,825,257,463,977,233,912,
163,077,827,454,889,840,362,503,820,322,284,220,749,197,893,356,336,730,606,
090,751,065,377,631,358,495,271,683,421,765,289,038,163,889,453,322,366,401,
738,777,756,180,428,098,586,335,540,230,610,942,044,187,963,087,415,863,008,
696,302,219,281,894,572,654,387,266,181,361,129,577,937,299,837,153,109,389,
412,513,102,627,977,331,621,549,805,416,222,627,512,802,552,180,858,956,931,
831,397,358,190,609,230,684,065,816,290,467,791,865,898,673,849,608,767,829,
324,674,021,179,013,527,158,607,254,349,709,790,267,065,883,979,032,291,535,
811,025,088,096,770,114,333,601,203,011,002,086,493,663,087,885,316,113,768,
768,504,832,519,951,822,916,025,797,778,666,993,989,214,089,084,573,261,318,
961,676,919,306,367,100,928,672,567,757,512,827,354,292,957,532,684,038,853,
391,631,143,932,345,946,051,643,356,196,724,512,129,169,609,674,043,640,651,
585,881,555,518,422,527,647,795,907,636,357,868,079,748,886,061,929,853,711,
452,105,753,153,568,243,090,305,930,126,889,949,852,509,536,332,497,504,282,
299,131,257,971,414,320,656,947,747,379,176,646,724,694,669,069,794,001,146,
119,970,311,954,555,940,729,932,525,843,683,230,169,861,063,568,457,703,370,
070,843,968,446,595,160,000,959,252,120,057,640,645,358,296,387,846,823,710,
483,321,881,550,989,692,752,540,975,446,329,459,027,357,066,335,726,960,249,
438,021,185,318,538,347,999,060,214,873,344,206,993,584,394,302,862,374,188,
875,913,314,715,797,601,555,970,306,794,961,772,710,266,159,333,777,701,637,
930,166,184,023,040,324,355,896,879,320,005,420,947,025,504,656,231,039,923,
822,714,235,490,416,054,527,771,917,571,173,359,508,687,270,957,211,555,402,
603,224,456,822,456,955,786,425,668,227,165,433,239,827,916,987,859,677,931,
345,389,174,709,854,648,159,150,763,278,488,725,453,768,045,252,302,328,700,
522,383,648,234,636,127,670,311,153,195,691,874,832,282,183,898,042,663,861,
846,761,878,914,241,467,111,800,281,211,254,406,112,584,474,489,943,793,779,
039,825,760,024,875,825,492,592,463,794,208,348,966,191,782,372,308,974,530,
277,546,030,550,359,543,434,516,925,869,803,666,284,111,164,085,247,364,114,
410,727,160,016,608,727,671,720,151,080,724,413,238,546,784,376,974,397,911,
945,435,421,204,163,764,810,280,221,418,895,280,087,811,478,537,474,160,372,
767,636,470,324,934,593,686,595,144,048,846,932,496,561,796,047,713,030,904,
885,597,034,778,562,569,205,456,235,574,657,011,998,248,629,162,394,523,469,
987,028,301,341,897,104,527,172,012,477,519,752,876,180,396,919,085,706,504,
762,544,353,941,644,257,493,194,314,685,458,630,220,584,947,242,675,170,805,
838,570,817,948,997,188,689,151,993,117,412,138,538,267,370,217,982,607,642,
153,711,438,875,798,878,510,649,287,430,075,612,204,962,204,984,019,757,034,
309,485,764,054,872,034,660,475,701,470,051,900,851,577,720,803,094,204,353,
612,609,167,905,302,416,972,472,255,097,253,057,189,188,676,511,215,877,103,
056,667,389,430,292,935,907,479,440,456,625,268,230,875,200,437,790,382,850,
634,840,267,216,069,873,236,691,739,137,647,638,476,752,737,215,971,750,150,
213,782,654,977,670,248,900,364,569,888,551,824,858,932,869,508,832,846,580,
742,050,656,833,343,329,978,299,433,309,251,748,516,489,500,956,664,502,728,
269,376,829,792,031,152,870,748,683,098,312,467,338,954,202,967,473,744,042,
093,569,915,264,079,589,973,380,060,133,547,572,485,768,418,853,616,792,766,
289,305,795,424,132,996,389,732,656,079,259,973,351,786,848,064,717,535,019,
739,845,010,830,794,206,174,035,774,833,198,556,943,729,703,209,184,507,979,
853,176,190,747,214,340,749,063,483,356,406,707,944,430,950,628,510,472,325,
315,088,360,250,181,115,008,956,335,128,485,398,893,697,928,379,180,449,933,
489,165,669,009,910,624,073,685,814,968,566,071,579,103,384,690,571,731,821,
841,128,627,340,054,269,893,887,616,685,562,017,111,858,918,860,061,482,066,
746,948,503,027,947,233,941,839,654,708,847,984,670,268,762,295,648,385,876,
448,708,592,168,114,735,547,608,369,857,484,377,346,674,118,464,096,897,009,
907,763,230,741,616,857,784,815,862,175,825,439,680,435,184,256,252,337,172,
939,550,548,968,639,248,932,042,678,469,493,877,033,644,257,540,331,381,891,
153,724,316,476,367,107,418,481,232,459,143,353,464,145,155,565,079,093,418,
931,138,274,797,717,608,837,216,680,863,815,656,220,626,514,812,861,447,093,
625,223,954,457,299,713,670,778,263,576,719,053,919,649,162,083,963,052,941,
607,897,306,128,917,525,019,293,864,339,415,404,147,431,153,328,778,468,397,
897,653,794,764,597,615,418,214,484,611,134,958,309,887,070,060,680,653,151,
628,457,343,647,317,784,396,387,671,535,844,642,641,141,397,616,459,492,336,
899,025,926,204,133,180,834,027,611,983,298,969,355,096,553,950,417,278,102,
722,279,123,364,372,541,475,837,718,298,299,186,375,043,940,665,613,877,526,
254,829,887,221,522,455,620,884,480,611,048,452,432,057,690,831,585,829,287,
234,786,731,424,116,382,641,823,248,370,894,001,644,722,357,324,797,479,156,
971,438,477,634,090,129,143,838,063,744,904,579,238,794,206,423,613,672,939,
977,224,238,805,685,573,169,561,666,970,995,269,740,461,889,908,031,252,628,
203,945,181,026,542,093,597,510,380,986,270,062,741,089,378,288,983,758,335,
547,041,728,755,302,100,718,745,327,075,478,095,477,475,421,416,136,678,839,
303,582,113,428,637,927,390,942,365,316,507,443,140,385,487,169,312,659,003,
172,112,276,582,079,683,911,509,017,414,215,720,963,886,065,362,472,488,959,
512,757,152,817,603,386,052,642,806,704,133,911,722,991,028,427,191,254,482,
143,139,825,987,045,778,461,097,729,620,685,479,868,621,252,620,635,086,853,
927,598,136,779,619,147,159,111,526,945,513,020,323,083,658,881,108,884,134,
565,974,074,661,963,969,260,203,419,288,628,957,382,275,963,347,358,011,764,
509,590,630,470,665,579,621,759,513,965,504,898,061,603,498,884,840,359,841,
564,823,734,500,738,489,765,419,269,104,092,275,163,933,314,904,836,772,156,
061,324,651,693,208,495,215,260,442,911,014,749,694,710,178,621,416,650,392,
147,524,810,338,820,529,319,711,151,560,972,369,398,944,204,268,414,746,146,
721,148,395,107,105,008,565,259,402,730,637,431,737,676,116,448,490,855,402,
398,827,075,145,912,688,269,024,725,048,049,698,178,218,539,530,660,132,829,
101,836,527,959,786,164,155,471,231,130,630,663,364,529,561,391,703,550,526,
984,956,737,682,490,047,636,203,535,237,563,923,225,228,992,106,961,830,898,
283,188,316,185,642,323,754,849,662,250,222,104,416,728,427,253,505,474,677,
516,707,527,247,326,648,924,125,529,744,733,677,236,773,757,963,418,190,043,
995,496,217,288,602,642,854,624,536,500,292,177,870,181,672,505,180,509,252,
580,873,732,690,131,392,989,251,481,420,480,902,638,493,859,166,250,545,165,
029,558,879,961,415,656,905,302,494,235,588,410,959,409,382,808,076,196,577,
155,785,884,650,801,745,135,200,214,044,937,052,471,122,644,168,636,616,567,
293,769,453,936,100,525,343,645,741,364,869,932,903,152,120,059,897,779,820,
356,795,122,167,773,983,736,122,689,304,661,873,093,579,402,241,869,326,912,
315,597,777,422,026,950,653,495,785,024,072,588,491,935,345,865,466,990,677,
239,586,935,049,134,185,490,630,012,157,919,609,002,583,204,017,948,804,705,
733,909,788,376,491,407,311,440,399,162,056,538,407,876,334,859,274,635,789,
403,519,590,057,929,180,982,830,656,214,605,819,858,631,716,749,823,187,280,
749,849,678,193,376,434,468,019,912,889,769,915,128,738,513,521,390,398,917,
341,941,572,249,998,736,291,050,752,662,974,070,249,105,651,563,059,941,651,
605,053,879,851,438,955,879,136,765,224,350,705,211,193,624,266,116,446,409,
176,138,108,217,615,028,265,034,753,022,423,095,213,702,930,119,812,755,128,
111,039,734,360,616,679,357,746,235,388,709,558,633,004,327,306,204,903,599,
133,588,302,342,693,158,823,701,098,340,946,687,664,329,688,668,063,518,043,
249,286,674,718,841,423,881,959,574,030,072,612,815,895,220,443,467,061,300,
575,388,824,037,497,926,481,901,405,239,973,847,738,485,964,693,901,332,509,
960,002,286,890,049,247,479,964,363,363,280,121,129,006,609,902,514,119,063,
661,077,381,399,090,702,115,749,276,583,170,555,761,617,181,565,744,791,913,
676,278,842,592,114,939,498,594,534,863,049,437,781,958,886,414,989,932,525,
014,706,735,397,641,803,796,186,265,936,709,884,992,347,976,623,979,027,609,
413,777,316,897,526,924,760,844,945,376,366,296,113,349,872,718,505,312,726,
367,226,664,175,121,694,538,520,806,174,902,635,930,963,093,647,736,661,661,
490,056,405,387,339,727,127,387,822,247,676,010,397,501,779,406,718,279,233,
632,452,839,513,932,839,416,662,581,452,630,059,799,583,311,119,960,085,788,
621,757,605,431,353,262,874,401,713,706,454,186,702,410,315,753,581,157,291,
642,248,979,993,134,892,506,381,374,135,791,562,338,516,765,562,758,260,359,
219,511,504,427,413,775,103,853,076,025,028,153,289,860,712,350,405,698,191,
260,349,119,950,394,262,841,129,359,233,674,400,618,894,895,048,776,695,091,
243,746,405,550,292,431,922,926,228,620,618,134,197,732,013,438,050,379,087,
094,631,997,895,924,410,969,300,397,621,451,200,405,069,928,832,080,921,257,
562,936,137,590,082,819,574,042,285,011,866,964,352,659,025,795,964,978,135,
978,176,917,115,431,875,552,520,823,508,178,042,574,349,797,078,063,424,707,
394,065,439,967,391,388,753,068,704,777,800,423,209,816,856,169,370,127,741,
449,465,279,320,464,549,497,539,808,590,643,405,047,943,890,709,944,793,604,
316,215,998,209,703,588,126,864,203,461,591,702,520,368,872,061,386,228,655,
363,924,064,342,985,616,245,858,319,285,238,956,558,054,294,727,137,601,071,
044,648,972,964,994,479,321,756,720,117,622,475,577,732,259,720,506,028,648,
727,630,681,507,536,680,475,473,991,799,973,069,670,199,558,005,119,315,527,
370,317,746,472,505,240,891,628,629,947,920,741,776,164,477,517,550,904,004,
142,516,706,959,115,879,827,339,851,161,365,667,779,103,814,079,220,757,731,
403,702,026,319,933,493,476,395,102,446,001,977,040,883,124,163,833,998,219,
910,369,428,300,646,308,109,592,438,608,264,336,670,837,130,631,383,492,414,
906,481,392,613,457,747,231,146,860,031,293,633,696,281,412,965,375,878,934,
275,597,402,156,712,679,827,224,658,835,012,897,675,297,154,560,226,612,105,
093,718,645,309,670,163,605,165,659,327,696,965,712,217,557,513,037,345,364,
512,247,675,047,287,661,223,713,232,441,554,347,485,287,291,283,218,285,861,
451,305,803,713,709,548,986,942,668,951,531,662,937,009,595,764,634,156,144,
320,416,775,295,390,599,830,309,865,607,056,130,820,481,728,648,760,201,230,
113,681,735,551,496,208,559,349,557,934,300,223,286,234,606,085,307,144,132,
770,300,620,786,257,001,162,436,181,776,015,396,137,647,240,387,586,142,895,
309,788,541,856,028,911,744,621,446,794,362,978,489,823,350,237,047,917,948,
244,267,687,928,839,198,483,859,825,841,991,983,362,122,662,827,498,964,994,
619,013,843,744,791,614,428,143,037,298,664,282,344,877,408,785,210,468,111,
030,167,368,335,907,830,907,745,200,599,758,135,180,942,128,998,071,821,282,
860,074,005,656,887,598,847,883,432,026,940,054,599,268,142,646,457,118,703,
699,697,353,603,582,524,990,425,356,076,027,396,023,577,138,283,008,408,953,
131,439,896,672,604,224,614,010,854,063,441,378,647,285,756,476,636,259,915,
699,212,056,970,610,610,329,613,779,511,058,604,065,149,558,342,164,368,187,
250,412,651,303,175,294,530,563,168,846,311,283,292,458,582,410,817,002,167,
704,136,525,081,501,331,417,238,355,697,591,299,076,249,881,516,666,500,849,
605,107,887,988,187,594,637,503,264,665,057,399,612,857,142,769,337,752,047,
441,281,929,363,763,934,076,460,397,269,136,935,379,320,718,134,501,544,850,
303,692,577,367,031,721,297,320,554,183,321,909,290,006,762,366,975,570,160,
300,679,803,885,014,175,752,720,362,018,507,648,257,326,604,487,197,542,708,
234,357,591,380,098,332,936,582,344,366,235,160,257,432,240,706,949,235,437,
048,723,028,159,058,002,055,877,782,028,498,380,611,399,244,388,335,549,325,
056,595,017,068,927,557,918,918,904,377,212,134,042,764,914,769,539,522,070,
551,132,663,868,449,144,246,234,075,396,558,320,281,326,853,565,077,130,939,
977,390,118,069,093,552,836,170,602,911,778,584,601,637,474,756,231,860,232,
145,066,545,666,387,361,271,395,378,479,178,301,404,173,846,914,346,460,406,
461,625,350,370,822,375,167,207,451,534,749,581,552,451,490,888,603,166,351,
754,470,933,176,739,594,848,598,028,513,518,022,227,285,684,306,509,086,560,
011,859,785,319,884,815,348,738,095,142,885,959,627,765,261,212,199,566,583,
559,262,438,266,005,791,855,451,256,821,552,724,012,686,919,134,608,494,550,
683,438,603,715,376,092,147,610,192,848,542,490,649,982,264,347,994,382,679,
500,453,441,862,613,999,719,190,220,216,383,528,576,401,168,672,275,433,543,
493,486,240,900,137,809,437,873,682,396,840,905,017,950,908,519,076,375,828,
976,009,386,781,649,347,160,021,678,877,838,069,446,388,219,017,738,155,531,
153,110,978,662,896,321,097,007,383,788,929,539,687,369,941,921,038,693,116,
913,335,853,106,738,400,792,483,023,878,705,085,046,548,629,919,561,880,185,
012,524,271,124,446,910,246,490,728,974,681,305,263,012,052,917,702,574,379,
452,087,652,903,423,841,814,965,619,037,275,448,799,368,321,005,924,868,317,
801,578,048,406,205,223,383,858,667,606,999,346,197,909,658,170,887,278,359,
057,795,645,401,103,667,948,915,570,636,118,616,496,899,717,327,698,885,351,
744,950,078,412,262,861,756,296,165,895,628,881,473,061,743,802,144,630,049,
871,640,424,831,591,590,767,616,226,058,285,401,031,168,790,295,863,016,571,
914,881,839,321,426,645,268,037,025,739,065,336,539,278,329,507,124,117,005,
994,462,107,602,671,523,582,665,118,478,203,643,264,195,783,444,297,123,734,
976,634,814,759,436,853,628,223,608,925,978,255,519,390,079,492,104,332,408,
587,509,822,750,352,153,618,448,530,972,867,511,336,841,224,279,172,677,632,
893,390,395,680,743,865,488,518,192,674,468,013,359,184,131,578,387,659,659,
469,195,038,941,005,266,362,090,284,035,328,690,196,609,502,277,801,362,647,
998,968,288,604,428,047,190,454,574,170,463,124,145,088,759,393,806,903,938,
488,771,970,890,709,542,335,479,117,714,258,690,628,636,585,171,164,907,670,
716,963,305,184,468,705,139,651,988,328,367,124,275,641,524,396,871,433,001,
871,201,067,622,887,064,989,702,568,980,917,536,355,958,438,276,731,992,759,
378,544,779,423,403,249,966,786,929,974,563,531,498,998,719,852,795,808,574,
681,832,761,883,199,249,592,476,275,772,834,042,232,423,742,428,875,380,433,
449,492,505,872,697,199,388,026,662,247,387,950,160,377,712,377,172,271,546,
627,939,069,544,216,831,427,017,538,979,783,113,228,582,300,010,840,808,289,
409,275,990,810,411,897,119,779,938,769,111,988,130,930,505,433,066,957,751,
152,007,304,366,371,873,748,957,602,798,238,200,377,837,676,357,819,389,420,
710,003,268,162,078,331,642,993,780,574,823,986,850,344,090,881,902,620,669,
819,126,472,669,955,142,715,597,438,845,996,116,282,454,201,979,291,041,478,
652,980,686,702,275,245,208,303,211,762,396,367,104,895,417,589,262,607,143,
049,870,134,645,245,543,712,730,579,712,098,270,422,184,409,000,707,613,923,
092,099,391,809,116,448,090,591,019,250,660,270,783,890,118,095,983,418,171,
865,874,215,682,038,928,355,791,838,969,335,357,829,877,410,408,347,787,247,
617,340,755,845,945,547,538,314,877,062,229,620,126,168,304,197,340,770,769,
200,356,431,706,794,866,352,849,659,218,370,293,666,694,401,152,187,883,962,
658,239,011,218,748,345,260,502,011,841,527,818,851,557,899,634,669,936,944,
393,019,762,734,994,353,074,245,225,489,048,731,474,185,172,964,913,754,633,
682,353,454,346,786,859,178,899,958,833,096,204,636,188,068,140,088,036,607,
870,444,705,109,136,521,030,198,874,880,513,335,217,079,268,593,786,728,000,
355,716,260,914,984,486,560,265,190,945,098,743,088,830,677,238,124,695,339,
124,337,092,716,327,648,817,946,382,962,997,780,677,909,601,104,374,706,297,
717,780,817,283,248,900,762,865,873,765,433,566,003,983,197,768,424,064,491,
284,675,044,491,897,359,694,669,036,053,049,058,699,821,597,328,244,046,311,
754,025,330,253,019,773,473,291,164,837,215,665,226,111,945,419,255,214,133,
404,710,291,941,632,622,476,474,366,308,942,866,444,494,618,569,456,545,982,
324,122,657,706,680,761,476,706,826,702,193,120,379,228,852,796,837,833,307,
413,101,362,048,093,248,400,294,709,401,947,705,719,301,990,080,950,033,608,
504,404,482,454,151,623,528,046,921,237,118,577,084,190,260,923,999,855,839,
338,462,611,418,551,016,618,585,726,111,127,842,020,293,323,505,494,306,648,
113,100,831,739,552,150,678,804,852,040,574,552,611,507,473,574,980,360,725,
305,682,812,427,245,053,404,499,720,105,322,791,308,784,999,586,510,483,064,
162,473,445,255,952,295,731,652,866,112,713,495,318,871,142,891,931,553,037,
080,819,075,174,071,032,036,188,054,144,690,151,641,394,558,089,931,945,788,
887,176,361,379,900,089,982,365,945,844,631,023,097,825,560,602,745,535,046,
542,704,888,799,668,803,958,145,788,367,498,740,840,029,169,018,622,350,251,
667,670,397,155,145,212,497,466,928,405,915,723,964,724,777,468,725,387,635,
449,530,474,086,684,770,952,387,518,268,188,456,277,701,180,396,127,165,730,
303,605,363,054,911,798,237,631,135,601,143,499,294,915,481,968,082,530,254,
660,687,058,479,125,300,496,573,628,866,730,952,355,070,172,998,017,780,776,
072,338,480,888,357,950,741,895,748,647,166,590,967,257,800,274,145,629,419,
625,580,828,447,185,920,186,104,885,481,005,448,971,108,337,930,816,157,817,
011,901,922,203,412,644,898,949,617,198,524,830,258,645,447,695,857,143,951,
937,823,091,933,660,073,069,536,226,380,360,213,377,663,225,740,143,885,100,
173,352,647,604,335,450,581,822,715,815,005,076,244,882,989,492,278,470,958,
720,092,450,391,919,992,662,916,680,007,814,453,918,050,679,591,204,222,079,
632,285,859,923,222,214,501,698,190,712,639,714,683,746,784,382,009,798,362,
741,830,113,377,200,902,308,192,136,477,164,247,020,326,129,352,351,681,808,
237,495,414,707,919,329,948,252,365,274,904,321,145,136,330,587,910,611,275,
095,784,087,458,455,850,134,458,076,277,073,375,467,331,317,912,595,630,835,
071,714,222,804,853,789,933,253,183,370,654,982,337,855,057,789,741,694,210,
125,341,948,948,690,490,357,586,734,362,829,328,878,001,618,915,502,754,800,
435,859,766,539,298,272,252,296,609,245,464,176,640,587,390,307,326,695,609,
640,487,933,587,500,180,507,435,334,344,632,264,287,339,448,660,264,685,611,
706,561,579,020,471,142,211,895,996,645,936,789,809,555,277,915,129,488,448,
052,266,100,187,090,110,368,795,401,217,455,934,647,535,649,103,885,129,123,
312,488,809,633,562,113,836,539,984,571,034,297,658,141,199,641,495,742,027,
937,392,891,834,207,730,143,673,134,246,781,233,859,947,052,975,837,371,618,
365,477,456,041,593,930,244,695,158,514,036,926,803,282,082,637,034,471,561,
813,533,304,248,091,265,915,508,646,324,593,903,569,022,650,573,374,507,826,
677,432,817,647,133,144,269,871,787,629,222,490,248,573,901,857,664,546,367,
386,861,902,551,005,956,713,745,719,876,741,220,004,856,948,163,216,111,174,
371,172,745,328,825,305,745,497,324,809,810,063,373,101,861,316,145,146,192,
581,796,175,201,804,719,949,158,938,905,133,785,608,544,157,392,592,252,199,
417,850,114,660,719,439,943,356,369,696,571,613,111,040,400,724,674,480,561,
598,264,538,544,601,100,050,107,535,766,690,345,238,168,772,356,943,469,831,
719,881,534,990,555,036,473,229,843,577,754,717,393,894,268,763,720,279,228,
089,714,873,581,819,108,200,720,459,316,611,044,764,990,310,515,163,266,708,
710,951,571,483,644,627,398,237,907,042,087,703,075,546,589,875,993,095,261,
502,657,849,984,708,260,387,996,469,832,054,597,058,700,731,829,327,327,691,
932,817,957,882,446,825,843,693,710,814,252,092,821,536,496,259,162,030,091,
381,439,300,244,121,692,553,459,408,140,933,344,618,637,882,687,943,290,604,
185,616,392,015,958,365,401,160,242,011,251,565,396,118,999,531,836,881,183,
228,587,659,581,567,623,050,036,500,602,338,970,459,583,827,598,272,692,689,
291,136,059,249,045,095,508,130,447,070,284,354,236,120,220,990,843,202,914,
489,603,342,927,119,447,839,923,453,561,683,811,014,168,321,816,811,534,874,
837,452,542,096,466,388,310,187,000,153,895,094,122,507,698,779,350,671,811,
733,506,163,521,340,366,062,614,837,984,252,034,638,426,094,087,509,055,279,
482,758,456,616,254,839,635,258,233,614,974,374,278,284,727,945,351,654,921,
336,222,285,094,735,306,796,571,316,763,606,961,747,212,550,654,224,506,129,
445,235,397,853,667,210,764,835,855,859,196,520,442,733,719,320,272,768,115,
964,643,332,335,281,146,195,333,947,824,214,158,013,105,053,323,199,570,266,
691,783,301,405,548,317,363,767,250,629,862,719,481,219,586,123,141,674,805,
205,051,719,167,774,973,480,477,360,383,359,309,987,918,960,703,037,713,809,
666,714,660,392,841,075,889,077,939,913,277,596,538,978,086,430,633,474,219,
215,874,749,548,125,914,718,280,809,993,532,140,826,228,692,224,560,966,488,
986,014,896,340,586,805,712,361,133,828,733,195,595,147,887,138,230,613,382,
366,692,096,495,563,998,759,787,740,848,464,367,659,301,969,984,035,518,782,
434,881,389,597,910,999,364,720,720,282,297,538,470,005,165,934,452,769,864,
558,327,550,749,188,520,738,477,800,976,566,196,234,892,325,470,790,771,522,
442,476,286,645,282,348,941,140,328,869,115,838,938,573,408,855,855,612,618,
414,302,723,351,707,521,757,911,825,275,713,740,844,591,748,563,054,739,840,
782,503,995,500,263,149,846,905,513,876,443,155,435,015,593,682,895,381,013,
356,690,972,965,164,682,754,671,752,516,911,324,248,328,002,349,358,697,716,
743,935,996,878,931,595,752,594,946,363,519,189,689,600,402,648,714,878,222,
125,466,550,893,815,808,681,713,520,168,522,176,766,928,971,421,962,794,459,
165,307,084,378,704,144,778,359,844,857,241,600,471,960,247,036,086,428,277,
230,066,526,018,193,224,196,605,806,999,959,872,433,233,321,949,719,504,608,
385,501,949,829,760,661,720,596,254,289,246,002,855,189,383,445,013,538,920,
549,647,859,213,313,125,650,184,008,717,985,797,223,954,525,920,415,060,150,
091,953,287,039,783,341,920,942,826,513,602,512,114,323,982,097,034,417,801,
557,096,060,016,819,978,805,855,620,822,901,087,044,670,877,353,827,457,177,
993,821,617,920,850,992,301,808,919,258,600,057,390,344,906,666,697,603,685,
323,739,257,563,338,370,916,306,466,405,818,208,044,843,386,990,430,830,475,
385,076,329,183,655,780,513,097,098,636,608,318,106,933,237,632,256,310,668,
901,023,316,917,335,634,303,643,494,406,957,476,412,838,197,015,157,040,683,
995,698,746,892,953,006,723,014,139,024,020,603,205,462,079,109,038,130,247,
913,208,030,094,119,333,604,746,019,764,846,690,851,806,938,213,721,855,388,
213,584,463,573,322,064,896,580,804,940,081,165,287,352,440,584,055,497,372,
492,249,860,805,593,679,303,675,442,309,918,871,594,722,203,155,963,868,074,
594,535,291,284,745,627,837,368,010,382,541,149,687,189,733,392,294,373,587,
660,997,498,896,848,784,359,562,844,944,267,783,873,917,369,573,360,883,303,
085,212,436,476,555,089,617,753,171,952,226,714,793,680,939,683,393,762,392,
868,137,269,940,934,741,195,941,784,611,207,289,171,728,499,096,647,623,501,
745,202,513,946,036,066,658,344,780,284,694,953,172,702,768,191,527,217,936,
017,817,085,491,556,928,943,021,032,450,908,304,567,163,310,898,132,515,397,
668,841,981,782,894,891,746,211,223,046,404,937,016,710,728,148,836,541,887,
514,108,776,481,838,298,283,103,307,091,914,428,965,045,099,187,705,756,985,
024,421,675,770,450,754,507,937,489,203,960,103,216,465,202,906,289,782,246,
539,360,543,712,199,769,236,426,536,440,384,769,429,652,403,153,278,095,724,
166,596,836,759,458,149,770,740,975,619,968,391,941,659,992,120,663,847,136,
981,407,889,812,266,166,834,350,689,961,069,812,562,895,531,141,764,598,652,
887,919,521,306,308,347,902,966,870,283,012,741,733,801,029,304,011,665,025,
820,283,299,757,766,372,500,613,587,116,123,523,962,618,619,742,021,620,265,
607,980,961,216,538,591,963,562,745,192,359,809,955,977,494,745,831,666,944,
318,728,249,726,929,718,639,234,348,807,941,050,204,598,261,617,389,971,375,
248,357,837,709,801,434,574,204,741,624,739,274,995,979,677,669,764,681,273,
049,530,932,159,285,369,492,930,564,688,831,349,363,590,288,049,011,122,143,
334,160,824,415,164,672,846,741,503,373,299,382,714,004,459,877,250,597,355,
961,062,144,367,958,080,667,180,421,054,838,163,716,611,595,823,388,008,822,
752,572,517,929,965,415,047,917,991,275,597,732,575,170,746,575,389,042,518,
122,897,179,264,020,053,438,306,186,266,173,981,329,821,387,204,754,991,608,
848,506,593,634,862,384,190,319,266,881,599,537,508,410,829,095,344,503,678,
136,091,831,890,575,459,953,806,893,060,658,684,022,076,652,142,679,444,938,
134,513,751,960,060,029,306,065,490,952,940,413,945,824,223,127,155,237,254,
519,000,712,823,895,394,662,290,910,337,037,298,772,890,527,798,681,852,326,
452,526,290,424,210,571,976,705,059,035,436,390,581,868,812,628,164,928,230,
673,033,424,137,626,747,939,672,593,009,706,459,748,162,983,815,845,277,556,
261,738,007,493,520,664,877,519,908,536,511,849,443,810,230,816,760,546,597,
931,838,082,616,903,032,332,217,815,726,710,230,461,543,516,955,694,184,565,
949,277,326,877,724,405,856,375,985,034,416,242,996,584,275,937,761,863,598,
963,193,299,358,324,638,077,015,959,067,563,766,994,935,110,159,789,638,169,
601,029,082,458,403,308,308,977,807,210,984,671,845,769,804,561,410,675,802,
622,902,738,586,809,516,026,954,773,781,492,418,010,150,898,767,373,973,851,
184,094,199,657,552,001,809,693,154,226,184,337,182,965,178,384,172,929,015,
218,806,202,855,317,591,211,871,518,682,395,275,793,676,171,778,336,726,670,
000,133,517,966,108,228,666,020,731,315,522,479,401,755,483,161,082,153,567,
735,437,760,369,429,005,072,472,802,065,720,941,672,366,988,289,162,610,684,
310,033,408,288,756,430,709,486,450,314,298,055,385,133,334,650,783,634,550,
773,688,021,926,935,451,477,684,060,212,341,806,241,043,141,828,383,530,710,
611,291,847,809,199,321,328,876,186,433,316,893,872,736,305,925,731,230,493,
319,934,688,104,118,785,153,513,006,228,428,629,814,895,171,723,276,725,458,
210,305,898,710,043,399,661,553,131,243,326,832,241,129,150,187,194,701,896,
841,417,160,098,194,572,974,925,800,692,815,864,942,134,143,749,583,821,204,
924,153,605,640,843,699,464,178,439,878,958,942,487,813,593,554,730,576,648,
742,966,175,758,456,350,775,200,218,693,520,118,093,097,164,969,550,065,772,
807,459,347,343,858,442,597,872,006,219,125,918,750,818,265,741,376,111,361,
078,157,025,049,154,399,489,226,609,815,304,039,028,707,668,149,556,926,010,
992,346,313,032,267,409,747,631,127,204,717,491,265,649,216,650,549,229,933,
700,640,716,364,030,071,772,743,095,659,981,724,579,688,900,711,836,590,245,
642,975,383,658,922,695,050,134,523,031,429,307,197,589,975,850,297,128,372,
565,881,223,987,101,868,337,921,084,184,911,736,956,332,286,085,424,594,876,
994,010,460,603,610,302,726,301,507,227,961,882,838,021,853,552,613,807,245,
121,265,029,324,456,136,700,583,422,680,883,310,757,348,859,233,814,397,402,
248,551,182,810,488,111,122,631,152,277,339,871,536,174,986,586,189,045,218,
009,430,239,896,394,619,651,254,089,324,548,838,604,320,157,387,424,362,306,
561,895,305,850,442,144,726,090,899,912,192,035,069,377,015,913,564,290,154,
140,870,195,858,287,752,721,519,639,191,994,720,231,321,280,765,297,633,938,
118,864,470,876,765,401,366,678,387,274,292,591,425,360,254,718,228,151,306,
396,307,630,072,571,123,930,847,363,090,324,712,393,543,697,110,762,346,952,
866,969,695,065,069,882,738,980,827,142,487,922,684,637,768,584,889,205,317,
517,472,371,447,272,792,742,769,937,842,449,028,375,838,149,869,505,050,003,
552,311,021,157,637,777,835,364,309,946,744,338,297,932,712,459,942,373,647,
831,149,233,141,657,290,377,115,367,823,478,516,573,602,929,429,532,746,373,
662,025,845,909,327,091,488,012,536,290,108,393,831,577,758,725,098,076,717,
854,279,962,761,919,691,859,241,872,331,528,234,566,115,410,990,263,593,809,
529,358,418,181,012,957,047,350,377,944,305,578,308,343,556,057,451,127,789,
968,219,891,465,839,073,253,396,289,895,337,755,701,138,352,397,496,773,387,
052,208,183,263,220,765,978,110,036,621,981,132,903,270,093,583,112,282,253,
299,008,996,929,686,103,079,606,518,833,574,810,269,185,369,446,485,824,255,
257,385,384,250,741,036,694,320,428,041,331,494,134,109,343,449,631,228,758,
234,122,846,284,901,172,398,191,619,746,824,745,421,902,263,177,667,318,247,
451,751,436,002,967,656,299,105,796,100,791,722,591,498,783,747,851,442,135,
150,138,896,979,845,930,903,963,704,430,300,466,892,606,944,729,732,308,926,
897,718,143,581,248,435,291,802,441,793,270,621,085,422,454,149,644,538,890,
466,997,353,273,816,755,853,508,620,831,599,566,106,427,577,617,856,773,764,
184,027,597,451,047,634,527,232,793,563,354,914,085,090,239,788,822,399,910,
713,578,414,928,530,252,158,259,699,707,729,768,328,963,696,953,328,124,577,
525,764,820,290,138,774,562,848,433,338,006,526,987,777,309,135,925,578,026,
563,098,015,154,954,292,008,576,442,656,058,118,445,784,012,766,318,404,167,
231,083,755,848,318,711,976,117,293,167,452,592,162,750,298,752,767,824,724,
186,239,297,024,442,569,571,116,162,518,508,206,040,169,979,201,973,420,634,
861,144,013,130,843,400,719,182,561,772,467,222,954,157,017,069,980,264,297,
409,630,986,315,709,572,724,437,646,900,137,130,740,634,575,881,980,594,711,
197,940,924,643,309,962,473,440,996,425,949,590,825,615,230,352,730,464,787,
379,021,810,263,530,378,677,923,673,159,504,035,687,472,157,813,520,712,227,
109,571,436,471,454,952,316,182,413,344,259,132,469,542,366,691,144,305,675,
585,558,239,792,943,386,323,935,894,746,047,998,551,836,338,863,174,348,323,
708,021,434,970,097,069,917,661,979,558,312,714,112,456,867,252,645,725,409,
791,056,614,118,420,697,675,155,310,354,521,406,806,307,794,065,831,459,057,
232,104,758,382,687,435,806,471,922,851,900,557,081,755,726,571,369,045,503,
867,160,828,153,966,401,194,804,294,435,753,404,680,101,929,279,343,178,903,
215,195,436,139,661,260,963,876,282,699,768,880,956,487,944,934,104,001,596,
016,310,787,895,127,253,690,893,550,079,230,815,682,813,510,694,129,127,810,
240,455,968,020,283,921,084,771,154,455,656,072,629,817,340,725,020,926,688,
428,747,508,103,337,609,860,665,206,405,681,056,327,822,373,615,420,993,413,
620,360,889,824,116,759,395,494,872,776,861,451,224,610,912,953,101,731,802,
427,469,040,158,054,893,313,459,114,017,177,984,242,540,502,982,789,202,079,
433,940,688,470,541,031,838,442,452,066,867,063,541,748,791,100,018,983,000,
668,484,763,002,076,899,924,651,740,681,437,055,240,267,307,794,504,836,426,
730,651,715,052,156,580,854,056,387,633,856,492,298,437,634,379,453,616,050,
271,432,126,903,315,637,474,596,392,051,152,886,638,235,813,204,268,977,922,
497,898,101,324,960,457,674,823,700,557,878,681,659,873,831,491,093,339,556,
322,064,838,075,732,040,264,251,216,318,322,801,774,189,264,950,984,989,459,
233,580,458,410,555,518,165,504,752,556,067,071,270,397,284,109,911,650,766,
328,344,837,856,795,195,098,693,153,825,418,250,221,193,511,712,550,444,534,
555,597,862,224,310,240,474,055,903,012,711,693,401,209,285,417,793,852,771,
419,931,651,238,132,736,532,114,570,891,132,568,466,001,457,664,547,973,992,
390,959,234,419,735,582,821,156,921,438,432,148,482,355,794,862,542,554,378,
747,279,887,171,593,807,127,594,631,507,705,104,038,253,349,421,422,108,405,
145,823,889,864,099,416,356,360,496,247,788,609,802,896,766,819,376,181,732,
538,465,170,455,627,993,631,777,971,891,857,891,989,571,522,155,556,226,375,
777,272,040,119,594,121,073,187,137,812,230,963,968,537,238,832,301,294,220,
155,273,219,361,746,179,000,404,921,693,693,015,709,597,839,993,577,786,945,
701,215,184,152,370,794,732,084,562,354,377,570,189,550,122,796,542,167,897,
647,273,938,350,585,774,926,589,767,167,875,787,269,840,624,503,653,944,700,
716,843,094,130,973,004,106,710,053,739,677,940,035,249,031,824,314,531,122,
487,074,717,260,842,333,280,419,193,621,915,016,751,375,839,900,766,977,599,
557,638,089,426,989,196,666,338,713,984,240,885,099,503,736,155,049,183,305,
715,732,874,945,577,081,925,154,866,474,293,795,494,451,192,429,724,827,457,
325,357,638,468,723,041,586,749,406,720,939,870,314,061,470,264,271,324,557,
810,823,118,724,101,480,368,173,917,813,502,434,618,655,579,362,866,629,571,
597,141,467,268,939,651,039,276,184,810,243,637,221,144,419,518,355,543,841,
279,642,753,850,982,559,539,366,718,247,349,885,689,264,563,566,223,662,077,
144,458,793,450,640,072,919,497,449,601,015,287,917,135,216,225,429,637,632,
426,305,683,632,278,480,675,854,367,294,628,472,690,684,609,632,572,957,928,
842,360,281,226,292,507,345,322,418,047,249,574,721,624,392,098,268,771,628,
009,237,339,426,881,692,318,249,483,540,978,835,454,511,570,081,161,289,870,
814,134,520,512,117,288,844,916,362,520,361,449,649,266,195,669,189,599,484,
716,023,224,980,856,772,894,910,414,845,400,082,917,700,005,313,421,049,420,
660,602,527,241,037,723,156,067,020,964,669,884,345,506,096,143,873,944,742,
147,269,229,836,469,469,314,520,461,682,796,010,676,206,522,235,526,457,018,
299,804,620,986,418,990,836,775,806,186,682,318,319,810,048,145,892,923,499,
464,157,332,582,728,740,943,597,248,598,945,789,196,213,786,565,649,478,987,
924,761,129,778,527,174,978,648,038,622,313,278,556,872,448,192,162,718,689,
509,560,703,923,934,836,196,904,686,876,581,555,963,511,111,765,310,600,699,
944,684,136,298,758,658,638,635,837,603,144,454,933,331,136,776,888,319,000,
874,766,690,760,835,732,960,213,833,016,121,518,250,495,061,678,008,813,818,
699,371,276,468,850,674,009,488,954,261,610,428,541,415,294,579,488,308,061,
727,612,669,619,796,142,246,343,249,554,044,542,096,152,825,637,867,757,965,
146,378,283,363,315,226,529,395,446,250,615,970,400,642,741,336,956,764,656,
315,703,699,356,255,787,689,544,383,900,844,061,951,074,804,115,632,019,778,
638,962,766,954,514,678,592,877,373,037,343,359,566,830,418,357,643,485,427,
472,523,915,684,843,187,802,277,580,377,285,549,921,960,617,346,317,657,360,
641,448,357,363,522,156,784,045,116,264,768,344,268,823,124,785,840,616,080,
517,007,096,049,850,588,844,601,371,723,959,040,013,924,772,596,606,753,581,
287,223,802,092,948,728,503,137,183,757,625,919,019,600,706,687,715,715,921,
311,931,861,816,527,222,412,024,537,781,366,511,921,268,693,418,276,636,110,
252,364,542,641,892,907,149,453,737,446,227,510,171,812,880,073,362,614,952,
588,377,525,166,527,552,235,440,714,620,138,349,852,942,656,927,390,676,761,
667,049,140,752,400,406,024,370,465,531,403,404,891,524,581,612,347,789,345,
986,444,500,282,405,386,991,372,626,703,646,363,530,710,716,718,519,509,414,
247,713,868,107,425,942,874,144,723,397,162,240,585,497,325,548,623,990,797,
916,179,193,453,142,587,597,038,120,532,251,318,614,977,209,046,767,183,080,
649,889,655,331,042,320,787,308,613,045,090,765,874,197,928,492,462,099,261,
785,214,574,090,945,802,124,800,214,415,409,788,941,440,001,268,072,068,792,
359,052,025,105,374,544,177,922,508,623,668,734,696,988,025,416,232,811,132,
003,159,310,828,816,889,540,496,823,437,796,599,836,769,016,073,375,541,064,
682,279,572,180,686,561,406,347,584,832,383,631,900,861,638,832,184,071,610,
296,959,584,960,076,278,896,338,165,179,665,154,973,877,030,473,978,974,679,
024,842,919,175,483,525,640,608,638,230,833,545,554,467,082,476,336,947,243,
038,057,294,437,662,189,524,648,920,776,437,010,297,421,615,212,683,902,581,
934,957,711,494,470,188,340,645,384,785,270,642,342,558,063,600,866,081,960,
804,800,450,654,145,388,990,174,782,241,947,040,395,486,282,526,941,887,270,
256,935,174,457,415,388,828,848,791,082,828,861,754,615,351,209,038,981,021,
711,804,996,593,198,509,113,636,261,330,913,114,247,847,195,674,754,091,054,
469,738,052,428,026,241,645,417,547,715,848,285,147,762,206,916,463,018,098,
776,266,589,668,719,059,904,961,386,178,168,673,745,891,829,492,930,182,897,
848,653,690,310,037,657,189,967,119,374,253,536,250,675,598,378,478,257,514,
009,232,181,358,501,891,236,250,928,879,891,617,556,252,163,189,979,808,329,
625,640,415,582,659,933,500,696,517,647,932,951,090,755,146,435,821,639,518,
418,602,267,354,233,460,857,676,039,951,745,803,242,241,793,824,804,416,087,
716,112,544,680,733,274,449,904,977,251,499,052,434,850,979,221,968,120,052,
538,934,285,562,796,282,771,973,385,729,366,150,851,332,327,250,832,605,716,
338,900,373,452,580,905,879,560,952,693,856,410,231,720,677,130,354,075,996,
132,842,901,056,997,775,108,703,433,519,306,536,119,463,850,558,232,112,788,
948,454,004,983,682,825,230,634,232,191,198,236,550,840,157,883,169,701,826,
453,601,953,831,123,830,200,393,685,138,718,115,263,885,477,058,922,153,147,
917,843,629,743,437,462,645,735,198,843,534,993,146,515,192,187,071,169,472,
846,643,951,615,827,931,548,707,440,645,192,755,302,945,465,983,742,648,235,
580,371,179,300,930,809,513,542,978,883,000,737,457,293,465,706,142,334,886,
366,102,748,813,132,256,670,635,180,204,921,486,444,021,625,104,342,418,242,
742,285,696,071,405,758,880,251,610,651,626,239,858,966,340,883,218,648,395,
488,244,523,065,588,424,241,699,101,446,720,040,515,900,337,131,684,204,734,
779,215,100,196,406,882,852,467,971,799,695,124,179,632,872,427,877,992,851,
080,040,957,580,372,697,502,437,969,623,531,443,597,490,919,346,371,192,606,
183,700,100,436,432,674,921,511,522,550,595,562,590,224,460,153,055,379,841,
802,376,252,229,195,837,007,107,664,632,751,423,949,636,571,798,936,401,686,
530,117,598,607,846,453,116,197,791,864,774,252,963,686,553,854,767,486,756,
924,753,583,712,083,963,652,299,763,656,315,031,903,476,873,431,707,802,388,
862,687,500,556,732,186,800,944,320,883,055,991,087,511,519,281,226,893,574,
868,335,198,529,286,172,246,949,976,992,223,474,680,839,508,971,851,555,401,
338,595,582,350,794,100,187,734,015,851,566,689,643,797,610,500,398,823,947,
944,469,787,723,557,173,761,372,557,796,225,399,551,423,712,518,910,587,391,
503,360,767,848,911,590,385,114,390,161,041,195,250,380,335,018,903,819,969,
074,913,673,996,737,925,045,743,594,922,672,870,681,767,127,051,385,742,824,
703,245,459,053,600,527,683,826,894,527,260,855,379,869,930,940,787,624,434,
879,776,996,578,742,552,105,641,407,976,191,724,636,211,637,647,955,262,495,
765,482,901,296,030,817,799,056,639,075,400,115,123,679,108,415,524,038,318,
992,813,337,166,626,375,051,857,315,717,553,326,703,714,238,596,749,635,048,
572,006,273,387,044,890,640,180,100,573,878,291,101,766,819,930,170,342,001,
078,085,161,486,260,702,487,510,408,680,361,308,464,127,313,915,252,685,112,
696,995,105,724,559,332,701,413,073,090,546,104,763,762,646,489,964,313,348,
530,432,704,633,480,031,211,745,952,830,562,735,859,286,639,349,397,059,042,
314,434,280,106,604,345,572,647,779,048,854,051,209,485,808,991,746,341,989,
187,079,043,706,114,814,762,929,509,021,421,402,887,841,835,561,866,201,524,
729,718,396,586,203,000,816,474,155,370,701,368,102,711,006,147,062,034,952,
891,420,170,990,673,033,717,696,117,034,900,090,770,006,256,224,244,931,195,
514,439,853,597,030,744,149,186,521,041,645,021,217,668,527,153,874,716,090,
613,627,867,320,419,204,739,991,844,656,803,609,837,485,435,642,453,763,034,
784,037,556,810,537,056,400,579,561,373,279,786,238,489,605,067,028,247,002,
587,680,206,264,655,768,090,619,183,463,341,370,563,201,737,392,380,774,461,
033,210,097,087,465,574,519,780,894,049,640,696,600,953,096,081,441,190,532,
620,577,498,925,571,103,400,316,131,418,584,915,751,623,108,083,674,523,117,
114,209,671,614,425,245,258,671,840,339,379,922,055,749,229,793,897,388,151,
023,500,893,179,902,121,959,318,849,037,469,797,392,799,524,613,004,458,242,
747,760,812,874,429,691,067,148,883,267,468,411,508,382,107,122,625,833,518,
570,882,318,362,180,274,451,278,005,644,008,806,809,410,577,613,462,396,313,
326,995,394,843,588,967,184,650,147,310,595,725,463,129,006,975,628,579,245,
591,977,700,445,669,713,909,348,488,384,531,101,708,190,367,800,945,916,702,
380,385,557,010,160,716,097,954,474,825,417,857,459,667,097,802,560,201,771,
221,803,636,950,252,218,675,001,607,331,800,800,444,748,096,647,148,133,030,
398,629,830,283,843,189,596,340,052,853,141,034,869,424,280,714,294,081,798,
232,729,113,940,328,479,204,077,017,343,237,787,758,953,098,792,300,325,183,
321,248,417,784,003,994,105,133,822,828,912,583,636,367,665,415,558,375,820,
318,758,737,125,673,923,498,296,735,872,705,680,630,423,696,690,752,832,113,
020,284,690,944,758,885,972,837,298,361,418,174,280,011,386,668,622,382,813,
640,057,531,197,968,842,451,133,225,954,967,777,536,238,986,127,220,960,232,
713,787,642,104,634,845,813,786,480,184,742,550,106,400,450,971,423,090,091,
374,369,552,009,994,486,823,010,783,243,656,355,999,981,436,472,832,484,751,
558,516,745,423,515,336,889,173,328,016,707,466,073,294,791,905,703,834,608,
889,846,228,117,603,178,973,213,931,218,702,460,658,724,569,218,567,330,861,
573,198,040,869,188,801,868,021,309,918,418,377,851,432,540,794,944,340,198,
186,546,387,107,526,749,901,650,893,942,183,284,812,671,321,461,998,986,029,
447,952,603,553,019,443,364,513,049,064,775,097,492,732,002,283,552,626,930,
455,909,114,461,778,626,766,140,260,865,565,791,730,300,096,585,200,072,373,
232,376,328,276,543,144,727,199,786,671,399,679,496,494,468,502,838,973,573,
234,915,742,749,157,209,654,723,590,166,393,850,390,269,010,172,454,388,477,
252,562,588,457,272,808,888,124,228,241,899,154,653,841,826,034,865,884,220,
549,242,263,719,319,245,306,470,810,294,306,451,044,977,831,347,520,029,078,
654,079,511,894,395,007,136,209,298,440,175,446,892,578,602,529,549,605,997,
191,778,903,669,210,623,598,645,623,371,558,490,742,139,849,476,507,606,166,
028,882,009,293,857,201,649,052,864,308,975,626,263,912,538,728,798,361,407,
494,496,145,162,074,727,693,473,060,069,655,495,735,806,649,457,626,951,174,
198,695,946,870,461,470,544,147,096,567,141,844,150,684,599,443,108,590,307,
491,614,025,699,995,328,449,190,034,231,427,119,273,885,805,118,579,586,888,
412,617,951,184,876,679,855,045,975,233,988,380,656,047,681,453,056,226,004,
833,249,380,360,091,376,171,591,338,592,475,198,986,253,615,350,316,866,667,
348,491,727,023,130,835,164,451,268,658,849,224,985,235,553,385,433,683,070,
429,912,868,464,721,412,882,135,548,025,052,457,892,193,792,647,393,736,630,
436,508,090,421,665,316,896,851,542,577,412,100,119,969,008,378,598,863,545,
735,470,768,574,840,935,181,554,436,761,142,133,036,585,853,664,853,133,614,
084,273,526,562,323,550,994,834,261,697,107,419,913,204,113,228,985,274,532,
586,114,604,394,211,670,157,575,484,604,061,779,899,909,406,774,225,057,729,
498,184,901,114,718,723,222,203,532,881,308,356,434,347,556,505,800,621,364,
865,784,334,085,254,121,663,074,411,907,037,655,698,226,087,955,910,201,823,
179,498,675,141,482,821,437,700,506,359,784,384,506,508,674,121,748,597,626,
017,713,975,730,786,413,820,807,674,902,982,995,950,041,944,524,239,928,959,
244,738,744,146,274,345,625,255,439,752,190,025,057,331,254,682,265,407,455,
381,609,746,695,791,415,221,683,197,321,394,325,525,985,652,064,075,356,071,
602,337,580,681,056,560,428,375,300,189,618,152,298,667,476,648,610,690,413,
236,311,727,661,767,867,356,866,604,247,662,324,076,807,436,831,018,174,274,
880,142,676,200,525,860,791,117,746,484,187,132,400,961,066,192,594,140,507,
673,035,034,701,269,178,490,135,101,490,457,693,079,328,400,649,624,208,761,
821,384,775,370,877,460,721,979,012,831,621,920,359,663,788,439,298,175,738,
985,798,223,373,494,097,640,586,036,193,123,655,358,670,375,495,415,121,613,
556,646,695,148,107,204,047,579,316,517,543,198,761,609,381,709,820,406,741,
225,984,265,979,980,363,132,232,601,174,739,100,391,226,314,754,509,795,548,
499,251,141,756,552,745,251,276,405,862,220,430,043,790,284,402,040,765,347,
007,230,551,071,241,209,463,197,911,947,285,222,555,920,047,614,123,885,518,
274,700,529,712,303,172,305,503,749,170,986,049,050,657,127,944,089,634,333,
206,593,876,925,637,271,832,862,406,322,920,778,057,815,500,572,388,278,937,
554,495,453,849,723,054,823,918,466,178,840,181,418,286,029,875,688,933,955,
253,226,935,913,046,667,961,776,645,948,920,119,260,267,512,690,610,788,225,
568,448,709,037,521,275,249,375,650,334,157,962,582,284,256,405,925,269,270,
704,303,772,015,245,014,638,278,853,547,333,414,732,668,321,806,510,230,092,
036,288,573,352,591,840,024,164,200,004,711,644,792,891,436,433,896,412,075,
430,071,171,957,657,261,667,073,703,367,483,676,047,313,928,867,803,872,219,
786,944,519,282,593,809,211,867,822,744,082,638,699,645,921,764,427,983,529,
996,844,870,795,389,113,471,421,027,987,103,489,863,908,506,164,471,099,297,
317,709,287,871,796,918,157,455,400,804,333,393,104,319,333,234,010,001,298,
174,245,160,299,357,861,657,942,575,622,820,138,526,902,528,667,143,209,611,
874,140,612,677,087,087,954,895,456,558,776,425,780,607,422,926,623,187,073,
858,672,102,203,092,110,286,222,251,969,320,092,414,738,605,139,656,052,169,
541,719,327,003,531,886,766,870,410,931,976,790,927,660,777,282,734,199,280,
433,723,035,384,419,452,148,086,964,126,025,942,281,375,469,297,135,864,396,
562,687,949,397,340,900,079,123,022,063,591,436,034,497,846,546,858,385,531,
296,186,079,177,495,433,206,380,127,649,754,905,425,224,811,208,480,000,784,
162,528,230,002,861,188,882,552,761,387,028,227,301,721,227,600,947,512,961,
781,260,156,549,304,829,923,388,393,496,768,501,819,552,493,750,787,248,418,
518,671,689,371,353,061,114,243,867,148,664,432,862,981,308,541,319,750,356,
481,607,129,852,561,581,545,375,928,740,519,639,948,135,272,779,259,743,474,
269,057,393,699,189,651,147,177,942,368,747,460,960,020,798,697,914,755,489,
023,298,191,760,231,054,832,051,904,853,199,873,091,077,540,715,198,728,782,
889,565,304,545,994,235,171,018,328,917,380,024,786,987,466,388,873,302,578,
301,139,805,942,478,844,710,797,661,731,419,981,018,387,172,169,219,846,718,
750,648,495,220,556,348,300,577,680,734,664,420,204,477,328,175,247,166,027,
441,500,391,477,484,019,356,509,755,656,642,707,859,509,384,951,247,419,004,
959,308,771,576,102,908,424,368,457,465,439,432,542,063,480,661,579,695,419,
242,933,279,169,510,818,095,177,016,319,179,927,141,997,744,025,069,797,405,
002,215,880,742,117,584,722,546,165,494,187,039,441,405,242,922,363,430,195,
813,273,617,593,360,565,204,724,547,350,470,608,018,178,010,581,478,129,599,
756,778,385,739,949,726,455,240,115,600,000,999,312,166,358,676,235,786,151,
236,984,258,869,213,534,455,737,501,467,436,124,504,603,060,475,886,149,593,
458,759,344,313,788,437,170,579,994,070,344,641,174,732,648,114,384,386,973,
752,021,677,686,950,460,666,866,258,555,962,501,343,998,810,070,756,011,312,
358,014,431,932,530,169,449,420,736,364,851,003,283,333,155,706,784,660,409,
199,066,125,391,628,538,847,798,845,017,203,042,209,705,781,272,300,017,154,
431,081,897,527,423,080,712,795,097,854,154,620,127,133,413,007,343,230,275,
426,619,353,528,174,341,173,475,604,279,547,630,413,658,668,685,925,785,670,
317,167,868,670,511,939,758,834,817,677,949,200,621,583,025,997,650,479,201,
570,449,618,616,683,944,275,585,478,855,737,254,758,976,330,420,682,896,018,
530,171,687,281,410,850,504,114,606,783,366,506,377,933,792,352,665,078,677,
777,237,763,047,700,342,560,291,419,776,445,462,989,888,444,802,804,939,246,
220,409,783,096,592,444,669,262,772,270,727,670,386,726,958,099,072,356,543,
455,757,551,148,642,128,301,971,938,719,493,502,599,177,771,006,687,998,847,
768,356,694,600,753,937,170,097,494,623,502,835,409,568,156,252,080,892,238,
571,016,500,462,602,439,521,208,205,909,631,952,317,536,539,322,262,182,680,
538,768,414,315,526,066,305,922,990,257,216,665,074,640,741,466,322,966,544,
040,661,905,723,540,024,209,182,141,747,699,635,597,759,830,827,392,405,115,
281,807,950,710,532,342,702,392,258,534,085,538,706,577,502,971,846,942,341,
723,893,980,806,206,944,663,051,283,149,741,371,211,828,102,487,349,662,561,
265,620,152,782,093,343,433,243,531,143,007,418,513,614,286,655,506,576,383,
996,382,254,887,119,992,663,428,474,768,685,108,756,504,290,016,309,453,029,
314,154,352,739,550,203,809,515,003,520,442,787,132,510,904,959,807,027,635,
010,499,060,004,740,937,149,931,617,337,256,300,162,802,756,357,997,239,558,
841,260,935,404,742,933,208,237,787,511,710,584,433,839,371,463,001,302,133,
802,200,544,110,639,461,898,995,425,342,732,897,567,181,833,839,395,140,609,
495,624,855,418,101,986,047,483,690,391,046,813,380,728,725,547,871,972,509,
499,319,376,378,081,013,843,484,216,070,430,565,245,648,645,298,382,904,465,
516,088,443,885,233,781,666,862,672,069,642,551,027,227,709,677,230,551,108,
908,820,744,413,008,615,362,211,613,047,844,070,466,279,917,100,441,546,744,
314,821,173,321,278,808,144,541,980,238,138,826,498,223,310,381,845,243,091,
809,929,111,782,115,334,783,955,678,994,666,913,357,143,549,122,170,604,379,
834,468,887,188,230,923,396,012,506,951,921,956,123,186,789,949,680,369,407,
420,525,931,105,427,129,803,380,339,257,039,084,450,221,185,725,095,000,397,
797,603,854,018,436,573,889,001,979,944,324,265,958,076,011,267,899,348,042,
082,979,279,760,485,413,537,936,042,421,793,892,024,897,229,836,736,273,332,
453,606,398,539,720,019,966,352,618,891,189,727,353,347,128,683,852,479,853,
051,432,169,723,782,569,117,275,133,179,980,105,875,019,693,393,358,386,839,
752,803,976,664,076,301,698,157,468,220,563,538,268,174,215,263,537,879,535,
281,451,268,093,525,040,761,766,578,524,198,955,828,513,217,517,576,984,893,
114,887,224,680,390,032,119,813,992,628,599,419,111,546,848,051,565,074,850,
393,708,422,798,465,756,203,798,673,698,486,867,567,580,216,847,575,870,489,
893,275,273,195,422,093,502,642,301,860,755,082,895,072,098,855,852,513,136,
123,005,190,161,537,832,974,292,357,720,048,850,206,569,073,360,806,001,090,
296,647,559,453,833,750,309,829,764,053,469,376,079,035,667,322,514,481,554,
676,727,266,713,940,937,192,506,762,890,175,615,591,592,819,570,987,760,780,
395,188,402,182,871,680,814,945,461,531,828,869,221,830,919,242,087,443,601,
989,026,482,623,391,504,597,251,949,276,739,356,240,161,742,081,089,807,629,
675,756,804,325,250,995,541,961,862,389,834,197,138,855,808,104,732,547,172,
583,306,164,605,558,985,259,595,683,398,849,538,069,654,308,863,398,098,025,
793,870,563,251,809,973,494,052,396,595,997,033,380,306,416,603,183,025,108,
490,290,756,197,056,697,230,930,602,172,595,024,282,462,170,727,431,137,926,
211,807,223,372,650,634,108,676,367,723,179,196,612,121,808,599,212,909,655,
024,248,505,728,513,488,924,791,449,755,664,832,503,002,116,731,045,745,612,
656,459,822,171,816,371,354,387,825,201,799,136,069,403,705,989,902,053,925,
292,622,727,458,138,647,187,988,656,887,866,466,382,295,572,021,497,841,592,
817,247,230,285,963,770,165,422,426,025,867,486,262,915,835,239,782,934,298,
083,659,703,861,800,110,455,874,655,336,646,776,573,714,458,240,010,286,067,
902,335,646,148,719,611,791,431,828,244,933,442,750,822,298,321,951,438,307,
232,823,289,407,707,929,625,979,988,630,102,334,825,319,017,741,378,880,620,
725,837,422,223,954,168,534,005,446,640,554,727,138,127,814,997,739,879,871,
352,226,782,365,113,638,815,183,001,879,090,978,926,558,709,575,081,805,824,
828,962,683,334,517,878,379,629,538,107,480,882,534,244,707,371,220,903,453,
973,413,042,523,999,448,552,857,900,278,762,107,276,281,527,811,898,148,296,
904,708,433,008,361,699,469,560,039,251,015,362,543,646,786,143,590,551,566,
457,762,944,922,621,790,424,223,851,792,789,040,788,749,861,702,689,129,607,
979,990,116,598,072,818,905,956,892,445,621,838,401,733,771,403,230,129,416,
249,032,505,359,981,385,058,826,416,045,577,339,224,729,098,684,624,604,599,
410,861,798,630,996,668,992,938,433,049,108,672,790,040,020,873,154,219,135,
826,117,916,574,689,581,282,365,239,654,344,821,751,594,497,286,978,356,715,
523,699,596,210,062,221,037,106,432,814,396,215,126,254,624,917,926,384,520,
260,155,001,000,070,491,012,690,528,726,135,650,082,329,431,051,942,254,938,
323,149,263,322,817,388,935,915,653,410,981,373,855,130,577,509,030,984,174,
263,136,068,355,876,079,944,971,239,422,818,023,873,958,763,163,690,476,679,
932,864,773,418,706,143,803,841,608,498,155,123,181,760,566,556,364,528,173,
764,732,931,833,446,638,813,697,048,040,998,100,700,892,983,713,694,965,219,
921,260,525,849,201,110,684,871,705,609,294,171,542,178,771,245,506,470,924,
403,288,193,932,892,928,443,727,939,394,993,546,029,675,387,612,875,749,430,
392,843,253,693,469,431,083,758,307,857,457,903,909,217,245,666,320,499,821,
490,262,754,193,509,861,676,761,425,274,612,244,580,696,886,793,831,504,575,
052,069,887,344,057,165,507,450,046,660,089,995,082,890,218,184,673,953,905,
004,519,851,806,008,571,168,293,254,703,419,655,249,452,179,715,669,217,531,
456,209,568,161,636,188,435,200,028,596,062,905,442,732,352,023,141,891,269,
140,347,456,930,426,941,292,012,473,642,137,908,230,024,871,796,450,080,743,
902,035,834,045,092,182,154,802,979,118,440,318,426,994,642,626,585,467,200,
520,358,163,097,941,022,824,952,217,542,815,172,417,930,435,543,908,611,386,
340,132,977,560,396,787,552,347,771,394,694,277,553,845,607,441,135,119,642,
440,675,467,474,506,362,545,514,101,920,825,114,562,817,073,962,817,267,402,
760,012,683,200,358,273,181,067,688,526,394,338,985,408,951,124,194,858,928,
228,437,433,686,574,732,769,058,332,877,533,521,038,264,519,760,143,716,968,
456,501,180,255,338,763,424,332,703,571,789,620,308,661,191,140,036,210,726,
834,097,026,360,182,448,102,327,374,600,187,740,151,902,798,803,129,135,751,
254,599,554,504,803,287,908,869,012,902,512,013,771,743,878,703,694,456,689,
174,201,391,327,024,929,597,933,203,179,198,633,910,205,527,569,387,398,711,
572,056,635,545,314,137,125,489,687,108,390,459,042,195,258,739,931,572,181,
647,007,320,886,043,776,903,234,992,431,257,849,272,340,593,818,225,221,263,
494,283,697,270,329,421,205,114,980,764,950,984,975,419,387,103,766,767,335,
793,682,914,387,941,379,612,859,427,144,256,521,342,010,978,811,585,868,928,
570,409,487,988,597,764,206,749,430,845,866,530,159,647,855,614,086,076,422,
011,161,828,708,598,727,932,318,684,383,078,155,188,703,510,577,181,292,974,
599,236,337,720,151,307,701,303,710,520,826,491,501,721,478,477,510,326,400,
104,279,809,050,066,155,755,615,025,316,595,667,766,090,579,798,072,531,374,
253,019,194,216,074,218,437,779,566,355,744,659,383,369,941,631,466,202,874,
482,586,519,081,864,350,162,063,944,428,989,193,092,315,554,993,196,292,889,
893,253,636,913,571,219,511,385,786,759,941,353,207,752,762,386,682,758,279,
118,413,646,852,787,126,866,308,525,084,057,492,796,262,747,391,891,380,985,
610,473,736,213,971,154,513,743,552,734,120,917,103,203,866,144,183,741,676,
474,527,584,087,966,053,032,981,693,210,970,293,197,676,585,551,493,320,881,
885,979,586,385,998,690,615,415,055,675,937,455,742,735,545,332,134,270,335,
943,222,205,759,028,044,050,854,467,906,997,191,026,775,679,813,691,912,980,
785,195,175,302,138,836,886,394,558,765,699,487,864,338,184,696,779,068,268,
206,973,737,887,758,763,424,191,770,091,895,380,164,034,198,102,092,204,110,
308,342,567,040,653,977,449,031,403,402,577,673,266,790,095,443,950,292,462,
177,725,681,345,063,153,794,040,904,993,551,739,145,311,049,932,683,021,928,
365,677,042,997,814,172,367,369,449,198,225,909,436,245,227,553,610,773,331,
346,634,750,676,133,702,855,896,248,974,912,050,012,552,626,844,371,929,969,
949,966,387,270,356,194,166,600,031,345,637,801,671,276,452,978,897,166,729,
597,665,343,997,430,880,018,559,003,031,687,183,216,913,539,965,382,800,636,
400,215,013,345,194,414,793,835,665,946,712,444,932,375,313,978,759,168,390,
668,066,712,340,087,229,208,748,339,234,769,581,021,039,946,109,895,466,982,
162,977,426,441,396,084,687,398,576,589,858,452,663,551,115,007,871,423,459,
568,029,138,331,216,595,883,748,691,383,231,850,092,757,073,056,336,860,404,
236,116,481,855,666,281,570,316,536,555,828,472,858,076,821,783,656,255,793,
283,814,662,264,957,997,398,205,471,078,117,080,776,791,256,633,177,716,685,
652,167,787,385,660,185,740,669,759,297,906,832,081,954,686,618,682,889,916,
681,202,073,859,257,971,534,081,707,523,389,144,197,375,570,251,605,976,433,
748,929,063,753,673,057,577,152,224,279,906,072,879,557,529,371,885,908,890,
571,310,164,650,146,260,160,925,280,667,611,310,904,507,661,599,516,318,994,
811,650,227,383,657,862,976,349,646,701,558,080,415,738,322,564,182,969,973,
287,873,468,488,045,721,864,567,507,208,276,444,927,482,479,451,953,314,646,
617,435,367,008,929,820,631,395,066,399,522,124,417,612,874,293,781,921,154,
437,007,935,011,349,167,701,349,413,298,598,928,824,746,905,996,705,236,472,
251,806,307,788,424,716,544,276,643,796,358,617,243,239,168,066,567,150,978,
675,508,596,727,442,213,913,663,686,202,228,750,188,595,164,954,222,525,766,
749,764,217,556,557,261,600,247,264,041,068,466,135,723,553,043,912,781,952,
794,926,448,266,483,517,345,058,492,788,999,003,205,343,512,900,756,035,718,
952,345,417,982,554,309,790,348,824,181,524,783,554,589,761,015,044,807,905,
571,457,198,512,037,958,423,764,277,849,283,891,501,637,830,583,262,553,712,
480,993,319,379,050,438,983,392,027,690,968,116,994,757,691,346,424,414,507,
418,411,498,766,492,357,658,460,338,724,145,954,432,475,722,042,980,671,621,
514,073,950,984,532,417,132,190,074,294,387,431,595,315,564,177,842,757,325,
879,358,697,861,853,348,039,826,261,091,195,994,405,944,995,214,100,664,610,
693,346,696,021,517,712,150,231,635,149,116,613,426,614,181,023,734,706,846,
193,167,102,135,066,238,433,676,035,875,725,675,723,196,698,862,529,949,857,
789,546,291,554,912,461,381,547,533,698,034,331,377,768,145,528,489,982,865,
294,070,854,591,330,205,602,813,685,259,175,038,462,421,057,087,879,088,687,
507,716,206,666,780,538,751,107,663,011,235,186,924,621,182,238,154,360,975,
486,064,170,475,813,020,825,558,601,461,194,561,140,111,584,950,604,794,647,
692,890,353,467,106,495,938,421,986,199,237,592,073,771,762,378,515,694,545,
254,186,404,441,771,749,623,003,935,741,453,590,866,344,130,202,425,856,095,
042,247,212,387,525,479,973,133,206,771,244,384,267,612,193,314,894,145,938,
545,612,581,591,396,306,860,205,024,331,844,898,090,675,298,494,936,821,125,
844,869,187,018,806,496,612,147,746,463,343,847,314,159,857,081,340,236,563,
849,669,944,586,074,746,069,325,043,554,155,791,756,282,088,198,857,390,338,
998,450,395,207,808,467,224,428,436,243,236,486,642,666,048,319,274,934,685,
049,495,347,508,721,221,206,848,989,817,904,570,555,514,505,359,637,066,958,
749,667,685,691,801,248,215,808,912,984,487,629,824,600,617,340,117,014,891,
618,545,784,870,624,653,128,853,197,018,504,287,158,454,215,878,189,402,584,
425,954,723,621,162,422,187,726,153,122,146,656,805,380,234,882,007,228,049,
181,823,404,353,273,966,397,952,292,635,445,915,242,586,571,205,451,042,676,
277,258,543,898,153,993,936,677,915,398,699,952,928,020,241,876,719,498,199,
807,117,826,618,319,849,403,311,043,295,783,236,344,608,519,427,625,628,761,
290,196,892,382,788,862,520,392,424,418,320,084,206,980,347,555,395,995,792,
978,917,467,144,877,798,118,765,579,286,161,086,392,087,436,531,255,214,763,
306,860,114,487,611,244,213,742,756,695,441,565,029,333,497,060,827,262,942,
955,818,048,753,270,249,607,440,138,994,095,231,377,769,657,562,812,930,271,
259,600,679,140,666,855,598,394,437,219,240,727,221,784,451,704,361,276,981,
048,656,574,391,192,204,089,442,573,925,411,023,773,463,570,910,656,904,057,
603,420,078,082,321,402,673,009,768,406,072,174,437,438,202,344,600,621,760,
118,958,712,462,429,248,554,447,719,025,635,279,744,150,544,340,132,631,841,
165,986,276,980,856,835,547,973,319,249,824,568,643,889,780,786,216,167,581,
949,190,125,665,957,989,277,112,590,922,408,677,366,181,750,260,187,268,661,
257,165,037,957,220,126,906,072,926,506,309,046,070,861,029,943,365,741,949,
344,931,305,533,468,489,910,584,683,813,841,311,427,624,870,681,883,136,238,
040,647,533,476,781,247,984,672,333,175,616,294,884,619,862,586,963,476,195,
596,300,114,303,213,829,809,717,227,337,095,531,302,103,520,415,381,508,912,
634,891,850,859,788,788,586,409,133,172,834,288,512,704,717,534,191,434,699,
265,847,119,246,068,187,475,636,480,942,972,855,676,368,377,901,000,921,931,
904,187,980,100,582,705,289,396,988,984,876,058,801,948,719,699,450,215,084,
840,249,421,388,817,879,245,217,605,321,430,344,847,179,099,716,874,660,584,
149,753,360,889,958,634,111,082,969,833,248,486,948,798,532,811,760,598,269,
878,550,676,108,887,346,370,108,636,115,967,159,988,877,456,297,197,093,329,
685,931,884,106,441,956,025,754,771,267,519,948,445,181,321,912,930,442,226,
758,588,966,042,168,608,806,083,972,533,799,554,300,880,972,497,951,782,501,
642,872,093,643,817,572,125,438,894,175,886,842,858,765,926,964,497,366,344,
999,191,093,036,683,802,266,204,155,097,914,249,955,152,906,499,529,412,152,
322,805,889,868,707,771,515,413,296,642,346,827,183,675,809,421,104,098,531,
029,621,152,041,562,648,549,571,372,662,894,331,587,830,333,429,256,921,505,
955,017,872,882,616,424,462,428,260,214,398,770,200,506,019,553,899,655,555,
662,011,518,700,142,155,912,149,458,071,611,092,031,976,028,464,659,883,902,
075,179,248,175,721,824,477,595,899,901,188,226,058,314,584,602,593,186,506,
225,233,954,039,730,971,174,584,647,291,088,678,021,310,270,023,128,139,065,
093,899,033,565,583,790,224,953,414,680,328,715,941,892,726,693,391,978,391,
239,964,151,266,112,987,310,167,638,590,561,514,504,257,110,230,513,025,084,
140,412,579,136,689,308,236,211,177,881,703,228,773,001,318,172,539,470,476,
051,863,897,470,501,115,922,654,631,138,546,554,113,059,643,308,339,262,544,
387,705,416,439,588,492,825,433,575,359,903,380,638,371,738,720,546,390,707,
141,148,668,336,140,850,212,747,556,295,446,760,676,452,930,727,380,874,086,
417,274,539,699,305,733,880,470,362,745,525,653,907,288,870,310,164,007,749,
452,469,870,153,032,438,757,406,278,332,589,796,025,678,313,593,125,423,806,
245,174,150,517,542,138,727,981,870,858,172,755,010,792,637,214,436,448,199,
764,799,071,718,951,481,644,469,863,072,587,535,406,116,539,171,372,369,608,
774,368,149,708,057,141,171,580,304,907,760,980,550,643,623,616,975,063,211,
561,352,572,213,980,303,792,602,246,242,512,048,368,851,468,320,032,014,219,
224,406,203,363,420,821,905,430,112,176,963,880,573,515,958,401,771,149,842,
840,521,219,621,955,930,269,701,593,766,079,132,562,542,985,746,127,603,403,
223,663,722,962,234,555,322,263,848,225,113,883,953,203,200,271,505,474,302,
040,579,700,183,259,066,319,169,306,918,695,180,908,188,953,819,465,171,695,
322,460,232,724,656,029,819,260,372,156,925,352,839,883,544,849,016,383,102,
852,384,148,902,772,686,020,286,390,396,045,008,525,875,685,630,518,054,432,
730,604,684,533,422,882,055,570,587,066,891,356,637,047,832,259,168,196,096,
412,980,897,656,594,450,822,499,335,574,916,646,436,697,572,422,649,322,782,
418,808,942,128,718,070,263,396,833,494,210,210,118,334,089,467,623,759,937,
567,852,301,828,682,428,453,296,110,843,285,347,692,920,554,946,668,629,501,
872,155,101,823,606,622,685,987,371,258,006,717,304,782,036,611,185,052,977,
389,744,322,555,017,641,410,592,055,653,145,852,763,375,308,667,813,478,166,
543,627,588,606,699,769,290,909,783,024,540,967,450,645,083,658,418,096,117,
368,762,082,688,076,972,830,885,132,882,455,805,614,168,518,819,146,646,576,
879,294,243,073,442,578,285,842,746,091,731,165,786,281,207,090,317,320,869,
736,818,380,738,546,677,603,766,174,930,940,530,604,581,522,739,447,860,866,
986,398,177,757,016,133,668,858,344,208,627,536,526,337,903,485,774,293,681,
615,739,774,323,529,160,612,457,289,815,286,737,223,611,232,892,874,099,834,
699,009,622,330,436,722,428,052,521,191,938,760,317,036,948,594,043,341,583,
521,309,357,127,523,189,479,417,574,264,676,894,915,794,835,877,162,089,951,
480,709,398,606,764,537,128,881,589,170,869,772,520,534,584,619,267,161,795,
328,852,742,921,792,181,139,477,844,162,405,957,954,443,864,640,399,109,226,
823,621,264,683,568,791,974,491,669,872,677,857,685,316,824,754,656,249,940,
662,837,908,410,463,402,663,577,430,199,653,539,497,714,057,272,304,043,535,
613,371,162,369,980,694,232,552,947,741,002,499,064,792,595,122,346,588,986,
887,929,177,509,815,130,908,939,861,728,185,396,748,678,273,450,224,784,727,
289,584,640,158,456,699,094,313,220,808,594,507,890,107,573,364,688,735,535,
254,614,068,508,441,443,695,329,973,879,528,412,779,584,879,798,940,882,920,
671,589,290,887,966,080,272,364,859,972,089,307,839,638,679,087,107,078,339,
704,418,726,528,211,230,593,618,005,543,489,419,731,485,069,732,460,533,654,
640,013,983,502,604,394,568,840,553,431,535,720,078,108,273,831,774,847,452,
133,251,676,370,243,490,781,350,946,139,046,938,364,672,238,667,673,908,585,
599,032,777,379,889,613,273,651,950,219,610,252,951,580,227,245,596,542,855,
874,459,367,530,653,902,234,400,440,919,502,004,154,710,827,611,260,196,615,
878,497,293,741,961,653,710,875,273,236,517,072,783,028,916,490,589,324,111,
204,320,870,145,969,241,426,776,420,642,225,040,114,239,593,585,735,298,429,
808,007,479,712,452,098,714,651,537,558,735,605,680,288,432,132,906,178,881,
343,161,755,624,428,815,337,249,151,128,369,114,112,166,487,399,031,266,410,
038,350,791,532,716,093,752,273,092,671,055,061,140,730,295,731,285,926,931,
046,163,232,777,645,577,162,829,923,923,715,987,721,577,303,668,012,686,494,
833,353,632,018,253,595,999,390,432,572,799,581,077,419,378,739,698,992,737,
276,495,871,340,421,703,643,166,270,725,562,170,639,437,220,300,195,163,954,
565,914,092,186,353,276,841,921,274,297,892,032,438,457,673,440,881,231,299,
671,414,612,513,125,837,076,070,506,369,200,908,439,982,577,498,210,353,956,
700,923,925,143,212,158,452,072,169,867,898,731,007,430,727,692,003,587,256,
950,833,952,925,875,233,521,016,992,496,716,490,450,676,583,780,654,811,975,
268,258,097,957,199,849,054,414,899,013,644,498,042,342,213,463,029,223,013,
018,149,717,007,271,449,553,845,072,630,320,683,892,506,694,032,419,186,900,
477,853,478,545,753,877,580,879,372,913,112,407,439,216,869,544,226,615,059,
556,946,494,419,831,417,534,232,988,099,070,561,901,651,593,291,114,922,081,
463,159,751,836,207,067,448,827,236,725,462,426,026,559,292,747,442,737,498,
046,047,465,775,509,226,260,748,647,981,180,873,445,949,092,020,710,041,645,
889,382,131,197,895,581,005,573,463,013,310,157,406,525,995,589,762,896,178,
542,055,855,268,778,630,356,379,598,352,887,948,572,729,245,089,140,605,339,
587,222,892,267,489,389,120,692,958,053,609,381,263,732,614,906,432,387,697,
785,746,803,561,335,831,588,899,051,607,267,720,379,474,750,090,802,242,473,
058,305,689,066,051,661,665,502,445,820,250,632,803,155,754,291,328,190,634,
630,546,719,261,579,630,728,230,673,645,226,022,985,486,105,584,280,399,503,
133,595,170,055,917,491,735,709,128,720,951,947,174,903,243,023,244,217,475,
228,345,779,154,988,854,961,101,454,462,046,756,992,138,442,700,180,943,303,
425,166,480,383,225,958,477,724,514,238,590,940,979,175,124,924,801,404,733,
998,027,047,951,778,605,079,043,759,259,162,305,504,407,854,115,431,292,776,
762,277,202,176,859,490,426,923,911,806,786,244,059,615,190,678,703,463,902,
980,533,381,616,241,823,702,492,520,665,534,928,013,543,176,824,040,809,588,
711,874,997,505,401,667,744,271,115,210,512,663,010,433,928,776,153,372,212,
996,992,321,096,971,988,856,222,788,092,687,438,984,768,244,011,265,871,088,
183,742,380,269,339,163,698,232,542,024,944,325,960,687,764,865,930,383,907,
762,169,533,021,729,027,798,177,717,911,915,853,444,754,973,775,529,534,890,
532,808,578,393,442,643,720,184,682,653,678,769,577,152,476,531,550,084,201,
640,020,725,199,777,363,871,151,809,575,119,007,717,465,790,033,389,072,553,
903,745,509,121,521,657,037,468,600,712,885,407,025,416,044,948,945,796,590,
210,499,256,053,491,210,803,194,777,469,201,158,090,874,781,877,016,366,350,
494,601,341,251,645,647,904,660,002,696,801,776,570,725,748,088,106,439,263,
059,262,771,804,304,583,216,801,233,579,372,969,423,653,779,517,749,039,611,
601,173,719,929,562,298,626,893,202,240,109,608,912,067,474,712,870,602,609,
178,600,523,850,717,424,020,502,341,938,345,045,846,058,833,374,879,891,941,
754,240,778,285,537,336,653,334,682,108,232,702,864,496,816,011,821,119,131,
047,003,165,424,275,818,689,898,286,768,557,987,547,982,941,421,174,288,630,
394,907,951,355,016,122,047,423,210,489,891,379,881,428,593,778,998,557,100,
540,002,020,982,969,444,326,257,135,694,416,974,100,687,681,222,705,026,429,
406,989,022,130,446,660,598,134,896,225,906,512,415,206,787,143,586,263,702,
035,739,037,267,957,064,918,200,396,911,626,054,048,211,345,912,976,484,364,
752,514,344,291,828,202,609,505,795,896,185,842,982,909,867,747,352,676,297,
423,564,817,072,831,852,172,453,055,005,355,132,798,961,064,067,737,105,704,
896,257,523,487,380,008,540,903,346,799,037,537,057,774,775,216,648,973,258,
220,737,244,461,530,710,461,694,149,999,887,487,716,870,817,956,129,821,219,
009,733,768,465,243,616,262,358,343,046,785,138,338,257,290,165,542,057,456,
672,090,033,993,776,451,477,323,513,732,533,821,831,835,508,984,819,766,957,
267,440,355,279,439,698,375,807,531,700,485,618,587,011,832,516,648,096,628,
901,256,557,122,775,111,330,456,507,433,439,112,163,258,587,316,550,224,076,
356,994,795,731,846,611,206,315,022,338,762,325,442,667,121,333,535,721,180,
985,473,427,559,097,293,013,503,261,823,845,421,441,383,094,052,376,044,575,
648,970,898,807,459,237,910,200,114,786,637,383,501,522,876,470,477,676,959,
903,088,502,667,214,805,921,129,319,821,369,234,870,847,165,269,216,205,060,
966,273,363,242,462,645,374,427,826,234,169,513,361,699,610,655,961,841,448,
229,047,600,445,121,982,860,527,225,509,258,346,215,975,040,839,719,663,376,
549,526,190,397,770,164,983,980,963,339,031,184,725,865,800,210,085,985,061,
310,470,052,695,888,144,655,135,911,558,193,206,066,344,354,207,294,629,621,
310,617,143,893,943,447,200,945,669,463,474,664,714,560,580,143,057,054,783,
300,022,340,300,277,033,939,154,205,173,452,703,499,684,121,275,778,583,960,
710,048,457,466,790,085,134,545,734,808,063,950,906,525,720,819,489,313,736,
479,118,835,139,229,262,814,623,041,519,023,842,445,885,250,561,970,815,808,
394,274,953,262,481,414,840,493,661,686,487,983,242,945,169,580,063,966,977,
634,492,910,591,732,033,627,648,454,743,735,223,612,241,634,552,868,341,342,
927,779,494,218,970,875,242,051,699,511,478,377,711,557,438,622,092,057,531,
962,480,606,106,016,273,717,474,418,891,054,093,953,657,804,236,562,763,653,
882,086,853,812,366,317,808,587,068,626,033,185,824,636,885,851,777,415,430,
845,282,016,605,372,406,757,209,691,647,442,987,135,521,370,222,592,990,751,
437,355,038,065,804,533,652,353,042,219,803,948,952,861,926,294,946,960,927,
019,677,877,892,329,582,490,498,548,209,515,806,921,156,219,119,070,765,462,
242,424,654,820,764,842,088,657,077,604,761,150,308,150,751,045,633,649,043,
696,578,265,593,912,879,745,312,118,395,536,228,049,501,574,740,268,916,110,
752,510,987,006,056,264,860,503,403,805,683,556,860,277,440,701,469,364,589,
798,077,091,387,055,050,379,177,388,712,524,433,916,187,264,290,264,628,921,
257,926,200,683,135,149,386,959,074,924,540,729,858,796,960,358,109,985,761,
198,655,768,827,494,867,006,802,080,119,398,357,167,733,315,817,279,567,676,
034,719,814,984,175,210,755,628,618,195,756,747,170,130,620,875,430,250,951,
967,520,891,386,275,381,371,137,055,664,378,097,607,130,050,215,281,278,753,
981,870,172,094,477,451,209,237,546,569,486,646,408,045,376,578,250,443,546,
150,224,828,259,211,775,740,254,116,381,241,422,421,614,184,667,277,046,470,
395,441,093,574,501,649,284,835,661,241,340,273,521,141,845,773,345,127,683,
665,926,089,055,132,601,606,903,947,224,328,959,140,427,486,243,227,884,736,
170,216,383,461,708,025,733,989,429,967,622,731,426,500,212,421,995,193,048,
177,638,496,133,833,887,133,866,455,606,003,037,221,744,949,757,370,730,991,
443,017,898,586,845,965,671,686,903,673,667,751,382,471,510,249,315,657,701,
049,891,365,542,147,817,839,746,409,552,754,454,236,529,901,746,005,135,472,
026,266,945,630,454,768,091,379,845,118,802,722,230,859,457,465,232,819,558,
141,894,682,820,803,967,952,913,531,403,276,610,402,234,117,532,378,531,914,
401,206,274,232,278,577,570,898,307,901,130,066,915,266,381,841,786,680,552,
906,589,114,794,072,523,258,750,283,200,673,058,243,248,083,552,325,403,204,
122,523,107,840,542,404,845,565,082,810,982,310,659,192,327,169,845,361,310,
176,100,165,487,528,546,349,250,984,696,334,662,454,165,936,970,718,364,853,
765,130,137,732,954,674,637,221,365,921,840,500,926,406,673,360,566,282,800,
530,624,692,569,400,939,184,137,547,754,947,522,082,032,085,924,775,517,975,
451,810,311,624,831,914,386,844,841,065,845,834,887,683,697,004,155,977,940,
715,887,991,742,494,463,033,129,315,704,886,531,514,080,851,607,089,855,236,
159,993,567,027,278,318,211,401,160,110,121,989,796,601,442,825,539,154,900,
646,961,434,751,482,170,682,909,925,818,039,569,617,349,428,177,826,326,110,
704,915,252,395,268,391,416,715,700,079,827,474,825,700,979,624,675,221,603,
104,773,712,337,464,199,366,663,205,975,445,936,727,595,825,262,950,686,266,
850,231,460,339,834,466,072,252,566,883,430,281,682,706,395,478,344,155,946,
330,445,963,369,697,841,581,087,507,842,058,423,916,587,569,565,297,617,628,
330,165,028,314,724,451,634,584,456,078,630,016,937,670,532,556,008,021,165,
141,599,136,461,376,488,447,530,491,911,157,164,167,835,912,867,172,198,154,
706,643,189,500,624,033,676,029,489,927,266,898,446,157,573,399,686,767,715,
985,604,228,010,321,357,551,838,595,623,214,639,260,397,490,042,223,966,376,
395,602,951,838,365,131,931,096,748,607,464,000,746,560,641,453,951,990,519,
256,378,569,528,346,899,127,736,197,052,978,983,823,159,718,599,769,203,476,
042,442,929,886,121,651,874,040,534,383,977,194,703,141,388,405,535,061,573,
428,950,750,353,391,764,963,706,708,596,144,213,669,771,613,497,645,083,325,
040,910,338,094,248,723,588,031,648,276,082,626,571,469,297,777,369,404,285,
720,985,725,698,077,866,442,113,790,304,719,880,172,434,242,357,100,028,299,
129,980,956,610,333,352,134,053,578,404,446,180,811,920,996,422,657,294,625,
659,968,371,874,908,758,653,892,307,180,477,491,292,039,645,147,952,770,503,
155,902,683,040,107,891,782,943,869,498,745,025,640,991,674,337,759,390,212,
633,770,427,211,757,650,251,707,310,074,554,465,093,077,739,185,071,448,254,
239,962,264,138,300,390,001,768,210,799,899,328,740,546,044,111,834,999,255,
383,925,883,074,460,495,291,599,821,766,204,520,534,863,381,961,684,560,273,
770,372,189,673,287,217,922,825,905,709,453,425,931,668,204,289,166,276,970,
744,955,506,839,057,891,841,770,834,906,112,570,938,772,407,005,575,575,859,
013,193,273,618,511,830,200,384,149,865,351,269,976,290,666,802,166,882,931,
572,097,031,740,145,670,411,217,414,511,153,833,617,239,646,445,016,919,455,
134,017,312,521,244,518,381,180,873,148,763,279,008,582,387,999,053,031,204,
342,506,740,629,945,631,346,641,997,211,682,983,098,450,339,493,112,815,894,
160,246,789,365,440,901,791,866,795,280,142,633,913,091,133,284,385,254,759,
986,710,200,573,894,601,974,319,869,364,255,866,904,393,850,255,084,521,538,
604,254,324,431,819,926,302,243,443,906,455,353,022,500,274,190,650,151,608,
387,034,282,622,946,099,710,217,547,172,870,980,995,127,687,689,031,178,981,
929,787,505,530,596,259,387,708,547,312,142,104,837,170,061,127,794,759,848,
255,919,280,900,440,130,328,923,561,059,711,956,178,884,353,473,099,983,173,
680,429,710,847,257,322,760,733,221,957,519,491,563,629,272,865,951,689,241,
350,979,880,375,848,403,433,774,614,811,198,617,123,830,736,937,318,178,985,
756,124,576,221,381,002,840,370,284,287,069,462,259,345,453,266,640,528,361,
239,148,019,019,160,242,211,556,371,494,553,678,105,357,240,250,847,546,855,
521,699,320,686,784,069,064,384,589,152,828,202,148,409,284,933,390,549,802,
140,707,617,309,597,087,175,203,014,396,604,611,979,886,771,135,319,877,728,
977,098,389,616,612,270,616,413,339,771,454,120,183,626,990,433,524,631,419,
804,587,347,156,377,394,546,881,488,938,263,642,564,552,368,448,249,219,545,
741,057,770,599,929,712,011,883,189,825,554,991,680,017,384,960,828,859,580,
365,454,110,134,903,693,271,631,642,926,692,686,664,045,236,729,715,041,324,
484,405,343,027,501,135,414,980,311,378,958,011,004,047,139,123,645,567,657,
807,259,388,993,923,470,056,906,058,702,186,711,450,656,303,337,506,818,323,
750,148,610,558,103,787,982,582,759,275,291,568,150,942,190,240,629,084,878,
479,306,424,001,778,794,280,850,933,165,188,707,315,174,518,977,775,829,134,
921,105,462,139,914,732,542,967,300,815,412,183,211,276,132,164,786,291,705,
008,282,096,872,035,910,965,389,304,574,208,388,932,493,992,040,008,153,914,
349,132,247,308,663,837,125,417,375,991,374,998,301,107,821,103,161,603,287,
026,045,339,838,263,644,369,390,103,164,921,138,069,646,055,603,206,160,140,
411,317,329,609,248,514,052,611,155,078,155,038,152,436,013,946,204,795,916,
510,280,383,583,945,892,710,381,075,932,018,902,776,821,821,302,744,939,857,
649,629,323,112,751,967,296,485,574,610,696,182,349,729,248,323,156,266,466,
145,742,382,153,834,328,117,975,894,819,719,716,849,584,820,377,676,315,300,
763,679,396,684,125,392,829,514,916,978,548,582,076,674,780,457,873,569,551,
004,361,119,864,751,875,799,190,078,708,600,710,853,523,739,446,261,220,590,
427,889,494,896,314,762,911,797,756,691,814,868,423,124,789,360,879,138,427,
676,431,653,341,653,946,447,197,548,102,040,288,437,420,400,119,151,767,551,
998,085,688,898,246,662,659,422,696,156,923,052,333,736,632,648,458,486,818,
791,660,014,109,140,884,279,056,222,504,192,681,670,588,708,179,922,459,334,
329,588,668,375,698,388,328,118,079,179,991,744,116,885,136,177,909,149,410,
349,120,699,656,370,681,171,347,290,321,647,571,435,354,901,004,529,706,927,
261,679,503,874,118,426,024,560,530,669,027,353,561,402,851,923,315,731,657,
791,952,662,993,316,861,338,677,066,790,372,576,141,475,153,911,659,194,396,
810,564,591,905,309,962,474,595,317,341,282,022,519,366,079,371,261,540,513,
828,960,748,723,041,305,706,153,041,129,321,558,188,674,068,845,136,537,016,
193,607,305,660,664,171,857,486,461,066,189,337,295,342,539,001,628,754,816,
589,071,812,132,086,603,398,833,007,574,047,295,890,814,444,845,367,158,244,
220,354,598,030,290,224,211,391,934,368,618,856,746,334,032,386,665,079,551,
198,552,223,047,223,073,920,570,245,931,428,246,949,111,951,439,761,525,054,
625,021,197,235,519,010,010,307,535,240,319,347,188,122,538,238,669,759,211,
204,162,112,173,662,413,865,644,168,508,936,526,109,246,107,172,954,651,345,
095,728,697,625,072,679,258,991,177,529,836,370,464,837,592,548,344,718,850,
071,420,456,243,710,561,892,901,452,435,120,910,783,208,099,668,964,373,920,
143,116,453,585,173,541,953,315,632,216,989,537,430,923,940,802,907,866,953,
844,504,945,178,999,666,418,242,867,022,780,853,197,777,485,058,551,542,055,
958,716,627,001,478,604,093,477,723,888,838,399,829,813,507,334,278,222,364,
747,569,313,215,089,051,134,328,868,305,016,397,167,964,499,930,357,357,380,
095,441,821,343,490,623,964,357,287,724,108,572,250,883,065,512,612,312,214,
104,305,702,075,495,909,879,887,736,074,605,042,959,194,496,516,120,102,853,
718,896,620,732,733,558,132,783,535,498,223,767,477,334,735,036,372,805,854,
937,596,259,601,173,817,568,679,352,515,623,213,529,887,846,078,996,665,571,
835,176,341,972,072,372,359,373,131,499,986,353,584,498,011,567,347,435,071,
972,327,707,083,042,583,196,878,695,216,248,944,090,341,904,470,079,464,584,
779,388,823,417,104,447,600,576,453,750,016,067,953,554,876,411,398,413,875,
215,508,866,383,556,623,339,136,065,702,236,586,689,472,363,886,144,345,025,
131,060,011,385,615,956,241,714,328,007,934,245,794,326,122,884,606,207,529,
746,588,404,637,752,459,830,033,353,729,436,109,092,110,925,654,738,552,744,
940,689,824,451,475,613,675,132,245,440,639,389,386,106,537,914,885,283,892,
929,564,336,247,660,082,720,072,724,333,838,820,940,260,935,938,186,115,157,
819,785,807,717,583,381,418,637,073,102,354,708,746,638,090,526,249,056,778,
141,702,722,908,775,722,689,406,954,080,741,443,540,293,156,745,768,916,249,
952,869,931,212,518,305,053,977,332,711,502,622,994,009,447,742,472,830,833,
281,483,234,192,310,634,901,097,898,809,895,928,263,901,439,362,884,795,750,
890,315,763,631,633,802,363,277,309,218,140,655,764,731,455,321,860,831,983,
787,965,310,075,240,508,597,995,757,085,608,788,594,132,636,609,812,794,056,
141,796,028,075,068,308,369,639,884,498,059,655,840,185,081,274,763,518,663,
964,795,207,450,520,227,893,426,953,762,639,785,380,363,117,574,325,000,165,
097,924,916,090,963,319,744,699,577,856,813,557,453,993,636,700,814,066,928,
032,909,725,101,297,175,063,599,970,823,408,834,809,211,027,240,756,825,582,
419,764,772,763,398,271,500,832,297,059,549,457,081,929,339,760,932,257,746,
560,520,451,696,417,525,593,913,809,533,528,557,096,691,816,088,570,960,280,
434,300,051,530,374,957,408,871,566,188,370,417,735,740,949,808,949,239,728,
101,415,044,908,898,679,993,102,520,823,829,687,894,586,208,279,804,064,673,
871,501,193,083,688,850,225,141,355,355,948,933,015,335,294,636,822,723,555,
596,931,546,997,194,952,509,506,124,026,232,695,278,551,393,092,877,013,610,
089,327,221,327,420,555,643,737,742,546,323,552,336,874,751,571,465,385,294,
762,617,958,202,108,718,506,335,668,833,007,234,416,568,575,277,489,989,405,
110,175,102,692,326,362,455,311,354,742,119,088,281,228,452,264,278,992,479,
225,338,327,012,985,979,491,210,706,022,792,906,228,021,788,212,051,046,020,
842,249,629,287,459,909,717,026,500,654,269,507,625,815,952,260,747,386,959,
728,637,986,417,565,781,261,978,397,826,322,590,053,194,683,138,802,455,635,
345,715,881,886,488,724,578,364,356,913,145,224,385,138,196,749,729,840,040,
096,427,039,070,839,126,082,266,991,728,666,322,920,477,945,540,592,042,836,
795,892,017,976,456,679,434,687,724,883,271,274,883,154,532,351,631,829,384,
159,720,034,950,777,401,619,127,476,346,805,061,450,198,649,288,704,066,443,
194,503,645,484,250,023,749,203,190,621,782,454,247,718,205,803,204,728,641,
935,653,040,969,554,012,461,274,482,659,474,738,870,909,576,158,184,010,904,
850,836,796,025,236,509,370,220,910,256,710,904,837,923,925,137,410,623,075,
273,495,767,563,651,835,116,268,550,035,187,810,798,476,757,753,321,344,335,
210,358,592,454,948,285,228,702,588,287,218,063,937,281,917,237,233,652,488,
487,376,602,113,214,678,679,098,320,907,052,401,696,606,604,831,715,237,093,
267,499,389,146,271,391,550,163,582,086,653,949,920,524,514,561,641,010,586,
238,114,662,373,939,407,319,979,152,793,601,018,420,901,606,201,661,925,349,
135,713,776,321,308,206,874,598,977,798,863,729,387,713,879,032,648,852,691,
244,161,608,943,205,797,884,755,418,273,452,448,844,525,675,867,194,828,247,
282,214,769,337,786,150,175,297,313,930,750,061,138,497,276,946,158,462,081,
836,607,952,174,306,236,479,871,993,367,706,929,328,421,170,573,918,072,350,
415,007,024,742,852,239,959,156,719,933,992,021,778,214,873,416,408,135,133,
087,094,888,276,817,152,998,214,009,857,498,329,117,440,817,256,941,119,181,
513,170,811,680,851,628,706,160,526,573,880,632,780,893,041,700,445,038,199,
303,461,612,463,560,074,670,822,554,449,448,270,297,486,385,614,527,989,078,
218,655,790,731,488,628,134,038,884,851,519,311,587,306,017,514,590,625,517,
119,446,652,755,036,716,895,355,927,149,478,247,670,289,823,151,730,510,785,
237,897,877,985,913,454,592,043,554,831,864,417,270,996,370,190,545,770,710,
924,596,664,672,480,322,277,344,672,447,688,628,658,124,579,261,407,524,311,
361,194,000,600,802,430,091,063,326,888,273,167,287,725,941,582,441,881,080,
772,880,728,013,666,451,264,593,598,882,784,413,697,338,840,220,520,200,090,
782,562,133,331,336,773,454,241,452,254,141,638,389,567,945,404,302,226,729,
808,828,283,298,706,953,210,712,116,926,925,845,243,332,502,349,409,978,072,
723,309,073,784,482,492,484,505,961,521,315,452,038,941,191,071,792,909,350,
404,270,929,038,824,495,442,731,548,639,243,339,393,208,654,524,711,698,893,
345,581,543,703,514,904,715,285,307,486,855,270,137,380,717,837,543,450,671,
092,344,678,616,891,588,449,467,652,597,017,309,581,116,091,124,134,339,447,
516,492,964,077,479,420,408,977,604,303,346,098,127,681,959,872,471,096,374,
486,842,755,136,683,921,975,323,113,159,276,837,479,013,195,142,591,273,957,
984,949,630,516,416,400,726,392,971,175,787,603,848,410,691,884,899,890,838,
979,228,972,991,698,521,287,680,141,476,998,216,820,536,458,370,940,642,640,
521,996,685,940,328,964,657,501,859,384,082,596,049,008,529,386,524,956,415,
873,159,253,146,686,806,288,149,822,585,821,599,628,245,183,030,436,029,738,
644,127,144,671,961,470,147,825,413,039,727,912,110,040,961,833,722,701,336,
682,555,618,896,978,658,562,981,373,869,453,848,139,838,615,570,182,331,889,
458,054,647,020,774,669,589,289,041,082,956,644,536,609,585,549,538,921,159,
547,650,068,047,358,171,841,070,898,211,658,283,462,766,882,986,865,709,585,
394,251,771,313,856,333,953,351,011,909,384,673,601,432,932,987,521,365,622,
610,207,690,199,292,855,888,233,340,373,372,638,082,008,453,159,826,502,072,
406,497,421,610,892,353,797,476,855,539,423,103,675,167,888,804,192,759,535,
208,269,734,907,226,386,598,412,395,779,662,623,214,031,413,028,636,194,064,
879,402,880,586,479,319,311,202,625,945,129,822,873,606,691,827,149,218,332,
017,340,592,025,449,761,146,394,292,047,632,958,650,546,591,500,806,822,901,
682,199,813,262,346,061,994,457,256,514,574,035,825,857,804,378,247,230,274,
652,013,577,340,149,013,808,118,927,965,592,314,488,374,061,364,631,178,124,
780,461,295,188,355,685,332,922,041,999,964,807,350,381,776,515,479,241,722,
899,626,059,603,370,979,007,679,537,459,580,170,649,425,479,227,300,020,095,
855,199,521,961,894,009,739,672,660,143,485,036,418,995,660,255,087,637,089,
317,169,771,155,889,183,839,635,651,545,990,128,984,469,085,372,037,829,848,
297,814,317,279,762,775,999,576,592,475,122,787,870,101,310,567,555,848,983,
955,253,448,487,828,078,892,410,490,761,009,207,857,802,123,394,706,147,044,
863,282,515,163,083,887,652,421,322,611,054,719,388,264,986,442,781,201,764,
553,718,474,347,357,007,381,985,673,187,103,673,734,094,549,120,171,462,043,
923,509,930,825,236,459,434,851,663,810,765,035,664,019,013,455,604,056,187,
949,751,514,526,259,464,522,183,079,148,230,195,337,339,067,420,691,570,030,
371,447,758,592,890,307,997,081,814,887,206,408,226,811,253,347,776,814,118,
774,576,217,497,099,625,731,219,978,094,733,992,095,268,768,052,753,686,658,
344,555,182,828,421,199,416,755,112,892,250,574,413,894,684,757,348,069,857,
903,486,229,091,658,880,157,374,901,551,856,714,019,598,341,124,859,557,886,
968,204,951,492,519,006,767,059,910,811,949,009,174,753,816,997,572,366,634,
916,277,928,040,907,952,532,619,722,550,123,115,046,142,498,226,624,145,100,
285,774,294,570,339,494,783,563,630,450,217,526,563,403,345,527,868,864,168,
656,742,993,586,110,126,815,819,933,136,705,109,691,128,213,661,312,387,696,
903,673,194,620,615,500,137,839,610,019,577,672,863,572,056,609,315,460,595,
379,832,641,002,381,492,443,075,548,789,986,011,036,500,323,644,931,134,220,
392,569,652,074,789,979,447,314,732,327,623,541,380,147,964,274,554,465,254,
089,710,388,038,399,127,593,650,615,951,979,760,004,115,867,552,916,561,666,
787,870,423,299,762,273,420,356,788,735,458,482,548,264,854,981,936,356,837,
347,987,703,726,527,410,318,798,984,321,142,567,038,651,721,879,132,427,503,
619,052,005,654,497,931,941,084,972,480,071,620,439,973,169,336,122,231,615,
949,910,598,486,127,890,781,782,102,217,492,965,687,815,785,338,113,661,682,
601,109,113,875,476,169,091,773,347,692,542,503,693,120,023,851,586,315,668,
953,623,526,265,119,456,837,385,951,827,157,285,464,129,119,779,733,067,203,
135,781,794,689,306,697,500,066,438,898,009,079,851,420,829,845,260,682,718,
083,567,717,698,106,495,624,263,540,907,744,089,704,325,194,112,568,863,827,
692,060,643,291,698,136,839,691,113,452,734,170,745,993,180,680,137,040,540,
861,839,492,825,836,796,197,855,911,575,510,316,108,725,752,293,088,926,405,
522,419,755,522,058,301,763,640,755,284,480,413,416,249,141,301,629,193,282,
084,102,296,144,474,620,051,219,207,220,751,585,826,176,781,849,212,054,510,
894,140,839,207,854,582,281,681,485,156,786,659,588,853,581,356,696,648,448,
350,839,107,791,302,269,184,280,008,165,907,292,973,707,794,500,941,971,948,
365,994,643,955,136,739,973,042,323,884,645,128,589,368,120,384,997,534,015,
432,085,735,479,294,429,034,421,012,062,498,555,877,803,031,373,621,540,925,
894,763,442,290,729,678,299,523,696,249,697,215,737,219,654,660,173,789,836,
642,424,810,726,725,275,995,407,721,759,617,135,458,641,781,801,919,995,920,
459,838,391,655,652,088,045,288,913,609,920,119,490,070,320,240,127,516,089,
968,702,555,316,069,702,079,300,141,285,016,019,454,173,223,709,977,040,240,
539,795,753,581,946,797,200,852,073,981,752,126,270,288,272,564,770,192,973,
496,129,230,077,548,266,477,507,773,784,035,095,666,927,932,503,489,849,077,
888,331,470,902,114,672,597,714,856,342,195,004,105,293,601,129,711,829,558,
222,885,055,885,611,732,179,086,036,149,624,942,945,270,678,017,556,731,493,
200,456,164,258,336,673,293,182,338,152,140,584,501,249,801,261,803,532,257,
766,715,715,562,806,384,590,450,737,609,416,101,061,220,890,238,962,587,001,
557,798,671,046,473,289,038,018,726,088,310,703,446,807,902,789,113,576,900,
657,403,974,136,827,831,423,618,176,323,540,374,767,706,786,413,715,571,471,
177,822,073,881,411,700,780,486,466,285,554,593,323,603,802,143,676,460,371,
939,346,907,245,796,013,714,739,862,632,706,808,013,264,572,874,944,601,358,
920,190,303,980,422,864,582,548,760,033,426,253,587,298,225,227,222,425,481,
253,002,246,344,154,313,621,975,394,439,009,209,630,904,458,829,584,138,477,
724,420,550,017,034,021,803,788,940,051,058,239,884,775,944,080,506,798,551,
780,854,871,702,363,315,344,142,946,019,700,660,943,770,708,188,394,464,754,
014,256,866,753,498,054,562,208,081,203,027,337,958,933,909,709,294,049,913,
655,773,184,827,678,242,115,340,839,138,617,571,381,763,975,524,875,414,791,
361,170,823,436,489,969,087,769,186,077,474,856,552,658,085,643,976,874,366,
836,947,990,599,138,838,627,200,314,256,594,253,996,572,315,301,265,841,865,
580,416,453,226,724,068,272,237,084,115,352,056,104,840,702,206,103,239,357,
176,598,303,567,703,939,415,751,231,501,963,271,939,231,789,872,485,356,981,
679,966,549,450,058,719,784,027,387,346,400,935,250,710,199,118,953,394,744,
687,755,183,665,192,109,846,143,016,061,583,231,616,448,057,772,772,934,966,
611,596,341,512,916,263,491,456,742,839,074,246,797,717,317,788,281,202,452,
332,605,030,455,846,477,431,471,267,711,256,615,060,085,123,049,853,264,528,
399,088,726,840,403,040,821,412,306,624,092,684,241,449,573,763,458,885,748,
831,199,853,157,404,799,010,377,974,209,949,293,399,575,962,742,689,771,457,
415,573,217,385,574,264,843,018,949,348,910,111,037,288,500,420,175,677,934,
577,274,174,866,040,703,335,112,728,309,987,147,091,042,495,015,163,431,868,
499,452,317,004,276,415,796,791,205,866,574,199,527,737,895,316,019,149,606,
797,861,113,870,209,343,918,714,164,055,137,449,547,501,621,143,949,641,881,
550,797,329,924,669,714,573,336,711,218,343,499,938,345,847,056,620,605,616,
215,329,288,262,257,468,199,885,815,345,698,658,959,245,715,372,503,044,158,
261,075,194,903,827,908,807,846,297,299,555,305,286,673,753,070,531,431,566,
962,278,926,111,658,804,328,714,977,395,998,589,240,444,900,422,813,244,982,
553,159,450,481,663,321,442,931,221,090,782,358,635,755,327,459,551,466,519,
361,450,017,257,044,350,125,358,878,226,990,936,886,072,877,379,790,485,579,
403,867,136,178,901,735,547,541,913,631,804,916,808,274,362,858,985,764,013,
845,064,191,004,814,417,476,718,153,066,705,110,906,564,710,136,227,947,245,
169,004,973,466,264,626,169,672,121,493,544,911,565,533,008,240,766,849,327,
745,524,747,178,910,058,753,203,924,484,602,369,411,635,265,180,509,806,090,
335,599,954,621,613,096,822,036,162,347,751,590,271,089,661,807,388,990,318,
637,076,035,256,590,567,084,084,458,498,100,170,239,309,719,687,267,380,406,
350,689,959,273,468,624,316,991,086,139,142,328,551,133,966,454,160,654,277,
416,501,838,914,184,015,847,157,334,444,256,690,819,546,551,358,516,463,334,
088,504,853,701,775,677,504,381,239,677,952,947,566,843,857,105,341,397,439,
467,625,932,128,062,934,171,396,277,333,702,235,385,088,783,448,422,623,239,
959,650,979,663,466,703,601,708,397,646,643,171,689,103,310,123,382,235,867,
714,984,914,766,977,346,657,107,548,505,458,247,362,573,034,606,415,446,858,
054,683,632,122,132,595,995,012,216,115,635,960,057,975,880,740,712,463,156,
136,755,277,557,352,727,694,833,844,237,355,620,500,205,251,624,837,948,108,
315,101,173,738,854,034,987,382,856,704,932,878,373,835,921,958,040,183,648,
271,032,513,256,964,129,008,166,672,462,254,527,356,739,769,907,301,903,074,
893,421,936,009,705,784,244,120,947,062,034,717,337,608,844,558,315,016,746,
516,434,811,015,245,287,481,045,202,982,139,506,016,423,297,091,193,878,083,
465,909,922,090,141,707,140,570,905,406,851,770,152,518,329,874,353,686,942,
125,230,396,448,245,626,381,115,731,309,699,205,115,635,059,847,648,460,615,
440,378,819,179,234,489,932,529,166,445,438,029,335,125,145,430,790,081,222,
362,001,795,107,522,492,352,872,323,891,837,173,940,483,260,254,027,293,988,
150,911,342,626,874,227,811,989,026,185,856,291,727,790,919,306,434,713,261,
235,494,373,314,034,367,753,026,809,201,376,773,603,482,832,024,880,811,310,
931,630,530,820,628,447,239,384,578,570,393,015,011,098,910,211,880,389,386,
046,856,317,099,998,246,863,899,714,563,626,909,872,665,906,722,880,213,597,
333,421,721,152,212,398,698,568,366,069,008,433,851,526,735,730,337,782,657,
803,644,851,712,733,226,825,958,321,473,737,777,295,707,658,483,416,218,024,
129,799,601,462,165,410,428,857,590,545,690,848,021,448,135,360,622,870,869,
747,092,762,836,712,896,819,102,304,354,162,352,684,466,062,726,721,418,654,
145,913,623,191,412,795,616,437,832,046,755,634,993,221,363,988,735,667,606,
016,749,217,652,080,517,901,796,878,360,747,799,243,212,498,065,672,737,804,
848,519,048,982,415,055,045,620,459,707,439,702,651,179,262,624,714,468,317,
520,851,814,523,300,153,914,111,230,933,571,994,716,767,718,281,335,643,890,
738,570,468,339,066,286,718,567,122,414,179,310,547,158,797,851,611,750,396,
551,875,882,260,736,231,397,531,266,370,239,399,979,467,744,037,727,521,774,
961,470,503,937,817,099,111,818,200,342,045,811,612,434,986,075,625,166,517,
734,279,141,802,367,121,638,134,365,997,805,974,686,143,583,489,645,643,778,
192,009,368,807,707,304,699,531,967,164,140,141,472,108,958,919,464,531,123,
278,073,864,616,914,712,691,178,069,835,322,444,409,077,726,111,761,213,431,
594,113,184,619,449,359,744,183,829,418,755,710,086,129,807,301,095,323,254,
556,416,187,592,194,681,267,582,591,910,566,273,659,416,899,030,012,123,285,
105,303,552,731,137,827,081,335,951,563,327,439,074,774,655,968,419,708,971,
729,271,901,044,651,436,542,965,860,920,948,752,724,381,786,075,583,323,916,
781,049,393,549,522,637,488,975,873,937,444,590,877,936,505,595,264,228,515,
871,486,110,089,991,765,614,630,559,015,796,545,491,930,673,393,789,972,209,
958,330,587,718,713,341,726,495,088,356,706,975,468,212,980,677,135,807,722,
057,679,506,389,097,758,742,280,581,571,401,387,082,138,889,559,363,725,695,
642,387,043,822,358,812,106,832,355,474,228,437,718,348,982,668,136,603,871,
566,531,928,000,174,272,254,745,521,984,541,499,436,085,659,835,623,483,781,
541,845,794,423,877,880,221,548,438,525,118,288,054,660,102,664,404,041,322,
630,221,199,863,724,268,029,510,344,583,957,915,870,552,850,733,110,236,414,
437,283,061,139,425,210,740,124,561,209,426,610,960,190,906,778,652,035,351,
332,416,011,348,204,813,336,696,501,544,929,692,083,213,218,618,785,462,704,
658,299,974,359,912,621,905,879,768,973,246,829,030,644,793,744,487,874,231,
726,445,745,904,363,614,743,677,127,836,652,289,995,251,078,322,851,014,468,
658,179,051,215,176,281,003,171,316,960,803,760,333,492,133,939,467,021,654,
440,213,748,096,395,668,222,816,272,167,565,975,073,494,288,369,264,969,319,
742,471,412,594,696,874,272,929,393,871,974,082,403,365,406,343,978,017,916,
584,215,396,679,679,761,417,132,764,623,548,498,729,028,826,524,480,196,224,
956,189,975,574,699,629,953,468,465,180,770,260,184,931,363,790,068,539,250,
163,082,404,972,617,287,137,980,987,485,493,616,216,300,546,193,536,124,874,
205,772,043,612,634,334,469,229,886,119,320,666,626,006,183,306,999,382,946,
516,342,044,255,811,191,539,800,374,255,079,324,993,691,245,033,773,895,508,
749,646,639,209,683,389,385,701,751,972,355,287,440,028,557,081,275,878,549,
172,669,146,917,987,483,487,657,102,810,500,913,321,850,687,988,492,782,536,
809,818,570,304,057,086,329,667,357,499,851,141,252,848,025,471,989,736,823,
928,669,353,213,384,320,503,677,249,408,787,962,572,597,827,767,901,800,142,
782,024,128,932,290,165,676,096,900,847,882,481,019,092,282,936,891,294,929,
283,529,735,316,825,711,076,854,405,786,448,934,996,437,263,741,899,405,653,
426,770,543,641,367,140,022,772,331,753,115,533,363,099,956,896,963,032,191,
498,788,224,559,690,145,878,157,936,385,653,412,580,819,186,659,025,159,100,
159,113,484,530,902,687,876,003,182,761,256,673,552,455,551,957,973,494,711,
403,556,346,358,432,857,029,282,365,823,808,537,106,136,694,022,372,902,425,
089,576,586,279,300,202,223,685,951,475,135,195,016,476,086,997,730,348,360,
004,720,910,407,958,062,306,394,838,932,345,270,833,805,108,841,005,311,888,
089,779,858,982,763,649,430,412,178,298,641,871,398,854,382,314,560,682,531,
307,298,791,926,818,287,872,603,197,536,449,500,670,887,980,763,173,454,454,
104,719,735,565,867,180,986,845,821,878,120,551,154,851,775,636,961,405,094,
203,860,744,290,951,590,218,809,804,720,042,581,156,336,571,841,927,069,758,
346,821,104,594,505,948,659,268,280,068,288,449,821,333,066,782,749,032,924,
438,209,854,309,228,237,705,862,243,401,159,868,955,965,195,074,224,307,145,
286,939,259,330,255,328,618,271,568,148,739,866,903,647,275,440,241,193,253,
814,022,552,704,659,278,698,074,273,046,436,513,884,024,631,602,021,471,005,
843,634,741,573,702,162,152,231,641,915,038,976,825,888,284,445,307,523,791,
059,480,165,601,398,274,727,879,190,139,966,631,459,682,151,081,548,221,737,
373,069,400,730,061,076,768,276,952,122,114,981,297,840,724,623,116,440,640,
048,809,818,602,796,906,764,650,037,313,406,609,815,250,837,664,959,457,951,
765,408,327,122,825,491,261,655,526,556,681,256,533,017,364,252,233,594,616,
629,439,333,133,721,552,421,983,001,354,575,096,748,155,169,251,213,285,345,
994,450,809,749,410,636,088,885,723,729,990,930,061,809,219,677,182,897,056,
494,879,263,438,125,805,581,357,546,711,761,857,339,890,300,663,787,999,950,
852,323,140,331,400,005,670,576,870,658,834,531,572,384,372,781,885,207,331,
725,905,798,307,956,253,888,136,401,676,641,716,219,323,325,063,599,669,795,
026,505,888,742,743,209,979,287,497,933,362,878,817,383,520,887,911,188,747,
361,666,657,768,553,159,968,724,303,608,767,287,295,487,384,046,136,218,774,
491,159,172,654,991,772,840,118,813,374,012,790,992,100,259,963,282,987,427,
090,573,900,024,321,565,343,275,650,330,800,438,941,129,216,079,265,174,251,
590,671,223,522,186,817,103,748,732,054,979,235,803,248,275,906,774,333,473,
353,900,406,086,405,532,901,690,154,783,159,021,145,527,678,517,358,258,655,
036,003,304,047,924,691,855,960,252,469,148,848,295,972,551,182,595,297,315,
061,967,923,072,066,384,242,010,263,750,383,348,643,666,509,501,340,366,880,
471,944,034,620,426,443,950,981,138,390,709,864,821,331,493,914,778,716,110,
208,153,134,529,463,725,116,209,307,284,625,588,412,399,093,371,040,702,992,
458,354,160,664,180,671,483,420,141,255,138,518,258,361,071,268,289,129,292,
854,908,894,057,836,114,846,373,029,946,218,233,369,308,458,981,867,442,781,
706,626,535,722,094,884,244,161,937,767,180,767,111,698,948,353,777,999,981,
464,804,240,898,126,984,606,381,411,905,086,041,036,429,633,281,663,667,574,
467,805,328,443,272,464,866,141,036,668,954,406,308,265,581,003,236,448,410,
944,016,125,352,082,555,099,713,194,312,136,155,502,044,376,354,136,084,980,
678,560,637,872,212,427,669,688,123,016,226,144,357,321,955,925,895,505,247,
459,077,002,096,054,326,484,556,486,581,307,444,141,979,524,297,850,682,880,
700,474,529,344,213,093,617,515,044,407,324,593,308,072,099,547,681,912,774,
130,786,081,342,206,772,741,544,679,598,055,454,059,860,087,233,134,668,081,
591,683,684,693,181,008,522,836,194,538,602,536,608,048,496,342,162,492,376,
712,706,558,600,568,533,173,554,075,431,409,922,241,807,832,236,142,289,097,
649,031,112,947,531,616,995,540,365,297,712,706,180,255,667,302,785,701,325,
606,060,419,031,801,206,797,857,617,685,721,319,174,952,292,839,100,265,723,
822,104,723,707,036,723,722,122,984,361,090,521,333,835,277,410,778,891,736,
823,673,321,978,843,142,930,686,912,595,945,813,661,421,774,495,256,531,884,
874,793,196,153,100,898,451,245,701,961,653,320,940,368,766,030,719,173,836,
690,260,592,917,601,597,392,535,381,547,291,389,867,546,277,310,910,592,086,
471,615,689,290,525,274,911,137,146,409,532,567,376,043,118,171,492,818,849,
663,521,279,372,685,378,582,101,226,803,651,570,381,878,432,617,583,844,552,
345,391,775,997,900,362,343,025,327,487,820,577,899,444,935,132,805,776,447,
198,723,409,592,560,283,985,140,138,764,516,148,462,514,230,680,318,291,006,
241,686,166,763,788,974,677,594,229,294,486,789,046,257,736,840,729,931,887,
279,018,336,278,933,737,238,356,868,316,409,713,518,545,422,978,816,483,673,
432,442,378,557,161,612,073,240,311,830,842,107,530,651,500,226,425,088,286,
710,490,148,451,754,278,720,365,873,207,094,236,968,597,360,937,198,790,056,
429,479,066,493,595,728,429,658,881,794,591,701,187,900,177,605,150,765,195,
052,637,087,827,244,360,177,488,119,008,134,610,739,813,608,384,404,998,290,
747,797,665,354,525,398,114,073,964,745,086,500,020,803,303,058,246,409,655,
875,126,087,146,285,048,777,220,615,957,876,793,946,118,379,153,198,337,836,
352,412,096,140,961,204,505,995,585,446,228,347,591,777,598,267,091,651,147,
911,468,779,810,617,322,178,401,021,955,885,176,992,668,262,092,499,124,164,
633,541,261,447,669,452,772,894,350,424,409,518,733,631,712,593,984,719,153,
223,868,232,254,346,444,261,385,545,306,392,677,214,492,454,111,536,538,882,
365,400,279,002,501,322,049,173,099,061,844,747,275,435,292,848,380,884,857,
740,450,962,161,624,197,389,754,128,318,148,860,442,612,293,745,066,155,233,
286,669,119,744,105,412,463,394,846,142,884,384,080,347,576,736,252,738,507,
031,105,100,260,680,803,042,158,470,670,029,423,503,455,501,234,443,175,576,
230,109,012,350,055,924,838,458,542,746,203,988,961,812,664,134,330,725,664,
914,015,418,006,078,161,258,935,103,948,007,598,113,332,445,857,098,153,528,
428,795,358,006,886,655,272,923,827,182,412,195,017,751,145,177,180,925,262,
522,473,655,578,491,192,412,369,986,260,897,496,507,874,109,634,315,515,490,
545,041,022,259,466,647,672,598,614,933,401,298,602,985,446,688,641,584,542,
651,794,202,252,994,649,359,963,126,103,235,570,111,146,733,757,008,265,476,
203,008,754,305,811,800,283,894,272,937,324,296,761,489,858,780,858,665,060,
880,428,366,531,802,107,390,378,984,859,809,450,293,038,106,175,867,316,426,
998,458,079,137,028,583,100,214,702,053,932,401,588,678,394,480,049,828,903,
362,370,352,659,131,907,293,881,209,562,103,481,411,341,557,540,636,267,839,
800,960,656,693,344,604,258,138,178,929,716,588,788,830,992,991,453,698,564,
612,887,623,626,319,161,603,058,257,261,968,826,275,597,366,579,128,491,720,
870,710,990,305,337,697,179,822,956,332,190,050,960,205,919,437,375,618,508,
534,738,177,243,972,677,745,819,940,168,360,755,753,967,482,505,955,602,170,
527,024,102,696,838,131,177,241,493,009,389,962,205,297,262,965,524,593,173,
453,074,307,869,897,764,942,074,650,756,139,272,709,960,966,257,411,071,823,
314,923,573,219,315,034,677,759,737,544,892,045,124,473,746,723,315,735,866,
528,829,181,176,900,134,910,116,915,365,439,909,403,983,840,970,518,340,590,
743,948,728,976,305,096,932,847,427,868,799,187,322,285,341,937,269,356,215,
082,566,743,897,698,906,955,496,971,465,419,918,227,932,619,220,528,054,687,
336,386,537,872,117,403,888,642,443,730,017,286,316,019,976,966,399,567,907,
235,677,662,338,274,650,650,651,144,222,208,342,162,280,731,103,667,124,964,
639,492,258,586,514,474,408,634,538,556,100,502,219,829,836,523,516,229,652,
948,845,476,616,916,723,226,972,910,558,902,843,587,274,344,871,992,254,931,
246,769,077,119,668,809,638,088,044,854,913,641,098,186,501,373,575,802,047,
506,075,225,194,408,834,227,554,555,906,313,408,386,808,934,479,630,283,702,
613,665,236,418,353,101,428,727,965,890,311,961,688,907,366,366,795,499,610,
217,143,708,942,596,198,509,097,075,378,589,904,730,232,338,337,058,781,904,
928,784,351,856,625,739,506,698,859,386,618,809,367,192,712,159,478,480,288,
544,325,840,250,921,654,166,535,629,107,539,873,761,896,028,167,476,942,312,
202,679,665,382,422,299,830,391,015,390,495,311,042,671,072,424,987,338,608,
138,577,818,185,309,803,846,617,994,433,247,054,763,518,422,628,615,424,476,
435,671,119,096,945,283,816,682,932,447,753,169,429,816,265,945,443,842,640,
195,623,180,847,388,333,559,924,181,345,771,057,126,626,484,938,758,109,878,
772,386,340,213,105,576,376,734,729,663,006,162,377,081,845,362,697,939,259,
543,946,384,955,799,537,572,503,899,011,010,099,669,199,688,143,680,766,118,
702,122,670,854,329,099,143,826,325,642,365,702,676,540,955,771,491,771,889,
883,269,805,614,333,274,232,966,636,477,604,416,551,712,960,674,361,787,918,
821,075,304,475,546,095,433,435,701,999,954,524,668,229,297,461,216,163,581,
115,906,392,516,768,012,211,368,909,307,108,519,207,469,597,519,298,275,044,
344,059,903,130,291,814,620,897,043,654,541,868,898,596,585,305,176,177,995,
731,831,141,110,886,477,882,036,651,238,102,863,387,415,195,053,510,743,664,
146,058,647,071,245,978,565,051,895,547,295,603,225,337,125,178,564,741,240,
467,430,982,038,486,591,223,356,744,626,889,264,268,059,517,186,674,755,462,
898,437,029,702,840,074,678,697,268,642,511,556,434,776,718,990,481,620,058,
546,268,294,016,795,458,843,660,582,688,038,244,202,628,705,397,015,113,458,
620,609,857,198,074,548,538,030,294,257,434,441,554,678,839,861,564,893,764,
181,413,043,656,390,317,736,103,706,497,088,881,493,312,604,697,063,019,058,
204,448,249,034,172,669,483,838,024,318,838,066,080,875,903,365,459,942,867,
776,853,586,098,946,548,306,266,456,857,042,565,150,867,258,277,465,949,924,
653,201,371,502,139,493,485,244,661,220,297,771,405,781,482,905,999,492,161,
052,231,940,331,129,127,912,598,052,180,953,777,344,303,608,342,788,408,169,
053,969,638,962,281,237,571,872,204,793,323,208,290,008,338,342,248,003,939,
864,800,446,194,983,196,670,404,854,540,771,954,980,657,318,045,923,969,094,
775,299,346,577,848,986,862,565,589,745,822,121,995,278,224,757,580,459,070,
310,450,671,648,672,589,749,457,268,387,235,990,628,864,823,115,328,292,080,
447,194,243,483,600,375,264,263,056,293,451,559,336,680,476,803,172,841,303,
167,215,116,375,287,628,678,403,074,698,664,572,310,360,472,121,273,280,514,
170,137,571,140,829,697,585,023,016,910,848,627,005,034,615,534,113,166,405,
865,953,373,988,953,583,195,222,102,311,948,027,973,476,697,293,963,649,825,
522,829,481,538,582,633,429,772,325,258,236,397,354,451,784,431,139,874,140,
126,085,174,134,431,267,038,291,406,563,886,186,949,886,843,618,365,866,952,
994,146,353,568,855,028,956,480,310,978,321,744,584,554,871,474,003,815,777,
207,878,580,370,681,162,897,199,136,152,180,572,450,105,537,632,972,215,591,
199,331,094,233,470,019,878,576,365,811,051,739,644,814,077,460,749,387,554,
145,529,728,680,239,306,436,422,710,549,192,890,038,831,588,888,465,990,180,
116,758,539,467,970,430,399,510,401,242,687,314,063,097,983,550,699,506,119,
808,259,458,005,487,004,468,166,497,436,440,922,779,886,239,530,523,327,549,
792,597,343,868,106,253,422,154,409,762,841,354,338,809,044,109,237,629,487,
098,453,119,664,376,305,857,761,797,878,644,005,172,277,322,072,041,483,247,
724,002,826,201,467,219,658,221,550,149,775,791,528,950,004,441,422,689,352,
414,714,053,249,170,544,133,878,913,854,309,175,886,378,694,188,687,489,103,
233,479,549,606,857,149,951,237,248,528,748,236,254,536,056,973,879,264,756,
477,999,720,235,979,754,980,888,742,344,900,580,789,429,852,935,208,917,653,
132,486,342,948,811,169,161,670,580,303,480,164,494,754,229,014,726,516,271,
200,243,902,612,274,746,300,231,284,926,748,993,836,403,565,940,852,497,151,
634,066,735,816,351,973,056,264,102,914,290,796,502,680,189,000,226,406,677,
436,809,730,077,781,200,470,787,835,777,204,490,120,965,077,942,133,087,524,
701,049,848,477,262,507,632,627,606,747,554,763,944,295,755,920,147,880,931,
391,273,852,047,651,221,670,123,663,071,616,833,992,873,920,474,719,706,181,
349,468,575,130,475,008,286,244,318,992,225,984,165,244,382,999,643,030,759,
320,571,855,934,755,102,366,441,873,338,454,445,647,201,119,195,582,141,194,
656,642,352,251,026,257,213,622,517,579,843,493,963,957,132,690,433,494,411,
672,832,632,612,666,819,872,820,473,636,631,935,686,652,329,266,912,301,923,
820,689,242,333,335,414,048,321,412,447,335,817,143,432,262,927,088,657,525,
108,590,102,360,898,280,858,158,671,472,454,629,827,189,531,918,432,734,000,
715,865,720,929,383,974,446,385,806,808,936,679,627,980,178,625,139,620,628,
233,814,367,293,086,399,813,300,826,905,223,979,280,266,816,169,478,163,084,
188,771,379,110,325,380,528,319,605,943,448,069,186,163,029,639,868,844,035,
109,758,459,881,082,128,584,705,560,895,335,684,821,458,340,523,825,753,438,
041,335,812,535,526,894,642,921,727,505,880,940,511,699,684,265,581,130,725,
409,542,136,670,651,365,671,428,572,383,459,195,820,255,062,799,242,382,277,
850,659,811,423,599,555,287,933,039,978,939,272,337,629,954,124,302,999,579,
273,044,037,843,509,665,463,307,298,446,551,297,932,801,862,264,048,511,366,
127,532,584,869,288,139,188,856,612,493,723,416,442,771,890,260,235,794,511,
012,661,875,640,000,131,047,653,809,551,842,046,880,548,174,660,183,184,547,
647,097,109,301,312,056,356,944,486,562,789,531,908,066,614,028,121,654,241,
048,130,144,195,445,922,609,942,628,022,771,619,164,716,627,177,111,787,511,
694,138,709,114,818,730,256,935,093,436,088,579,045,609,813,429,121,938,840,
884,490,757,960,154,195,333,211,877,398,061,100,072,181,415,771,535,627,412,
025,234,041,606,563,666,248,805,022,946,108,498,379,638,964,708,046,250,148,
514,440,649,236,508,675,241,280,183,989,001,561,171,203,831,438,859,883,970,
690,777,818,448,528,624,556,883,920,011,341,727,525,357,509,601,978,660,645,
135,894,535,388,577,385,743,217,035,626,632,379,720,259,023,488,685,100,384,
230,739,991,666,073,583,752,729,158,029,284,546,489,073,646,324,165,496,779,
846,052,765,621,918,125,438,244,378,566,659,780,715,278,837,900,176,606,547,
824,874,492,288,786,457,169,843,896,912,625,620,890,427,356,950,857,927,347,
973,321,401,677,172,916,030,043,081,557,750,599,099,795,843,095,617,873,063,
205,158,639,703,039,930,298,510,359,268,015,577,716,571,815,855,639,447,969,
712,641,034,556,970,513,542,988,002,556,927,148,617,626,380,569,343,740,996,
883,362,678,287,770,346,940,813,258,115,005,609,099,985,064,056,633,479,176,
430,126,347,002,149,997,642,357,741,647,133,053,508,396,368,649,116,504,382,
671,639,798,306,829,509,621,389,931,281,588,539,683,176,788,429,936,015,862,
131,220,842,651,345,706,292,961,841,208,100,302,634,042,778,436,704,662,508,
041,022,445,250,962,954,557,471,178,542,651,025,787,480,499,653,159,778,123,
595,556,005,945,316,450,706,036,508,352,621,259,127,075,733,958,808,536,992,
045,255,582,008,846,722,744,139,864,416,866,967,387,375,838,364,939,256,490,
532,774,868,244,433,540,007,736,288,198,926,182,041,306,907,960,890,855,953,
588,397,673,876,592,258,983,387,288,547,717,088,709,886,173,561,017,929,402,
277,705,336,658,379,086,279,726,007,888,244,041,025,072,467,447,805,806,020,
981,753,984,147,274,568,807,331,635,579,205,146,314,089,806,536,503,243,985,
785,623,251,224,040,207,267,356,740,848,306,221,489,277,893,653,712,905,864,
556,691,327,511,748,340,325,980,859,582,905,782,547,025,681,785,961,104,746,
017,480,955,528,418,066,222,654,693,644,741,324,511,565,500,371,399,431,654,
996,385,250,872,603,629,148,799,302,469,243,044,742,993,795,234,381,122,322,
176,782,767,151,268,834,392,187,081,542,336,480,453,809,482,565,107,795,702,
531,444,497,209,303,357,801,652,846,328,051,995,688,158,134,680,220,089,877,
818,554,132,969,443,597,868,945,901,218,289,588,706,276,828,750,488,718,781,
867,097,593,682,016,112,321,203,867,393,180,066,666,161,326,903,827,022,752,
410,125,858,843,289,770,023,089,123,612,125,864,442,518,723,779,195,635,843,
214,280,001,852,424,121,012,618,454,994,417,641,229,360,336,301,713,233,343,
305,577,325,398,914,647,170,528,803,487,607,076,787,624,224,306,712,454,703,
499,648,826,098,127,934,168,329,965,345,542,211,474,971,335,234,689,272,840,
911,679,348,839,320,310,912,624,846,601,249,490,485,183,475,832,821,638,327,
117,647,713,687,532,361,615,620,681,827,463,423,567,692,983,403,401,884,512,
480,364,848,409,865,154,674,734,417,774,515,615,340,950,468,911,696,869,691,
729,843,505,354,040,367,977,276,220,912,993,512,048,869,687,147,383,404,783,
202,325,368,260,943,344,464,019,268,448,239,363,101,957,503,230,885,354,100,
085,572,849,369,308,326,212,652,332,857,300,375,348,801,846,440,808,467,405,
548,233,917,420,014,639,748,948,141,463,744,240,207,562,871,045,943,725,771,
345,455,212,672,684,372,605,741,012,623,562,929,086,000,959,751,177,914,817,
616,777,952,021,613,687,898,425,090,647,921,232,514,922,332,370,281,871,253,
650,945,305,153,256,842,464,123,088,012,470,376,741,347,178,753,540,873,096,
724,901,955,612,916,466,704,964,704,565,851,977,212,488,895,618,709,964,223,
101,212,788,403,754,022,898,102,483,394,557,991,129,304,375,999,008,667,612,
338,900,040,322,556,859,571,107,713,516,755,446,717,283,641,433,677,434,111,
414,321,546,906,413,677,434,871,129,565,043,500,193,422,976,154,146,502,002,
862,672,437,666,144,382,457,285,786,517,995,051,291,147,973,079,129,100,928,
259,301,196,322,563,678,512,804,904,427,706,615,078,396,375,575,589,987,616,
618,196,449,656,669,392,400,462,720,548,069,578,332,160,958,937,081,816,274,
207,266,395,251,856,266,605,390,976,318,455,986,738,456,804,224,117,121,046,
896,366,364,964,357,791,795,910,357,574,327,653,696,371,682,519,512,607,877,
780,792,627,290,223,430,189,905,537,207,818,011,662,504,692,444,508,266,756,
507,056,589,545,491,099,558,811,146,601,213,237,227,474,702,506,498,732,909,
682,859,334,262,442,559,880,324,012,877,928,598,036,768,776,831,713,538,725,
478,207,600,943,944,021,360,058,386,312,147,022,751,400,673,631,393,347,131,
049,923,563,285,755,019,635,749,558,520,605,565,891,809,635,471,618,479,762,
361,890,863,842,168,249,483,899,621,127,785,197,579,678,910,063,756,136,688,
910,929,957,513,834,802,723,564,202,873,556,100,666,158,077,267,785,723,789,
578,235,619,435,644,930,719,287,693,787,995,915,849,641,672,685,823,061,040,
587,646,945,664,961,074,759,192,467,256,528,959,751,431,813,946,937,746,006,
475,240,559,783,518,524,564,817,671,789,465,821,913,655,636,262,328,043,640,
378,018,912,985,148,103,704,494,757,709,527,809,650,273,768,317,993,585,889,
186,587,770,488,802,766,826,698,744,596,283,957,668,067,440,024,635,309,397,
303,558,598,738,055,671,564,234,875,347,670,273,089,887,600,971,611,887,206,
537,066,804,387,595,736,817,422,180,333,054,712,660,427,064,232,143,841,677,
807,290,302,939,538,221,287,026,112,719,048,216,932,522,835,112,501,688,398,
512,905,221,162,189,902,889,874,260,985,060,389,195,136,715,037,193,698,982,
112,610,360,601,783,843,743,694,592,082,691,311,752,823,630,642,969,321,746,
309,182,125,553,622,714,963,699,372,873,502,231,295,039,398,324,192,953,713,
845,669,270,594,736,060,978,094,295,888,535,117,497,407,882,669,658,012,759,
246,535,815,160,246,867,295,743,389,577,037,505,853,797,193,584,337,600,913,
666,751,295,748,434,540,687,407,596,421,068,794,831,307,143,186,858,719,879,
687,102,455,621,130,731,219,975,111,900,821,884,255,843,242,729,952,936,912,
161,416,062,980,416,688,528,528,390,493,782,561,977,508,587,716,525,040,980,
746,333,530,213,719,968,030,531,796,930,305,914,091,376,485,181,856,400,507,
451,064,754,260,763,671,074,470,360,659,166,330,943,731,798,798,665,170,742,
917,238,509,121,512,415,943,624,454,040,121,371,396,022,590,791,847,654,667,
961,703,398,677,669,743,294,220,354,992,459,371,741,578,660,323,902,656,279,
921,270,752,958,827,584,528,327,494,786,102,401,606,427,464,538,302,398,015,
576,049,969,108,101,921,276,074,759,921,644,440,374,071,277,199,098,709,250,
616,666,016,866,397,039,182,730,952,872,193,419,209,228,539,827,379,162,167,
610,876,103,581,700,612,586,315,806,252,751,126,233,198,835,038,605,218,343,
228,357,203,078,724,437,999,973,468,255,757,956,006,866,437,816,206,833,630,
215,975,379,928,341,093,640,621,460,246,449,286,442,198,846,145,060,239,497,
589,349,395,983,736,730,606,340,789,067,688,857,327,458,963,364,548,335,626,
447,268,264,144,163,236,217,094,547,090,810,552,786,272,612,746,291,782,575,
869,303,717,272,885,988,206,562,431,109,045,378,918,192,686,626,965,497,712,
574,009,761,720,347,772,625,173,342,188,369,767,211,327,859,451,340,256,627,
364,556,904,000,716,661,985,953,870,136,475,943,112,878,845,849,659,293,800,
020,788,497,878,133,689,587,984,914,541,209,423,019,369,499,407,358,311,926,
910,933,172,724,357,835,070,076,103,359,008,584,432,872,315,785,688,782,411,
479,567,644,795,189,480,746,847,561,684,188,656,125,258,993,466,916,919,675,
059,182,950,063,971,107,316,231,387,495,689,626,216,007,579,124,432,683,724,
415,617,875,857,573,465,284,373,133,463,079,344,217,052,808,207,309,253,421,
765,360,993,346,132,749,769,166,443,196,733,949,028,725,717,964,758,086,049,
678,957,029,401,560,703,182,355,973,644,573,973,376,547,480,174,916,619,800,
244,909,478,486,168,805,457,399,588,974,491,131,797,826,404,827,150,387,196,
432,373,448,224,296,097,978,928,456,048,525,314,532,171,920,770,203,377,411,
647,049,058,266,782,259,980,224,256,574,444,563,734,634,772,652,224,617,073,
203,331,428,329,038,203,925,255,576,211,059,695,748,611,765,194,571,954,747,
845,492,059,383,216,233,503,466,838,262,639,917,592,585,128,505,206,561,161,
246,896,075,668,766,209,309,468,018,378,783,385,909,915,541,207,997,254,911,
695,978,008,836,701,819,966,417,220,792,842,434,651,519,096,148,030,322,157,
591,593,669,138,342,089,554,697,657,233,889,625,458,747,482,686,616,130,498,
484,102,095,758,427,273,035,033,454,568,059,417,185,588,797,173,391,164,857,
206,492,687,509,351,587,854,386,432,564,845,194,125,478,028,674,713,532,303,
655,861,157,299,481,864,677,111,047,807,369,744,666,026,862,793,991,869,331,
649,908,949,931,031,076,899,471,604,303,534,912,944,814,423,946,265,468,870,
044,797,219,528,700,495,587,285,725,212,168,179,558,082,899,247,852,165,253,
271,166,417,491,199,587,051,334,829,176,508,170,243,909,917,671,982,810,272,
772,541,863,843,903,311,785,425,354,784,593,736,175,087,964,477,554,341,314,
546,758,300,640,685,199,116,053,201,685,405,745,197,592,869,036,614,359,384,
827,392,428,774,156,177,576,411,462,665,191,246,011,805,933,880,876,382,863,
795,177,823,852,448,480,905,565,224,243,431,564,836,044,188,778,959,741,208,
576,831,741,022,451,260,772,481,221,622,725,501,032,980,832,813,045,188,752,
026,934,327,254,696,853,227,109,193,045,156,949,727,807,882,480,916,714,261,
703,373,781,811,531,092,701,850,439,330,388,269,631,388,065,943,076,420,971,
581,504,785,534,458,009,959,754,225,429,496,492,719,783,497,843,526,322,867,
105,442,967,172,625,317,621,967,964,830,035,139,223,722,838,451,935,644,276,
511,895,780,766,270,050,465,632,247,054,505,221,105,644,482,253,555,017,077,
846,153,983,770,038,200,028,646,000,876,450,098,596,952,086,780,598,492,700,
370,572,768,292,021,732,580,529,143,363,448,862,551,463,691,231,035,274,490,
512,241,842,500,418,266,712,009,600,323,036,039,405,805,530,753,808,440,416,
559,205,169,913,153,613,561,440,103,072,098,265,389,436,866,820,795,734,822,
877,990,157,008,714,947,957,016,119,935,046,869,732,965,133,873,043,295,919,
396,951,505,462,653,988,286,379,752,735,403,397,499,539,295,281,322,670,412,
580,630,692,611,314,034,316,753,710,609,624,487,850,985,284,174,688,291,744,
822,169,400,098,074,269,024,248,228,272,115,139,165,366,990,729,523,997,756,
189,860,851,362,869,585,947,381,889,609,779,470,870,370,964,246,199,983,315,
649,133,199,915,654,216,721,621,859,668,268,698,418,393,110,323,239,991,827,
993,436,350,429,904,584,953,033,104,289,966,675,355,463,010,537,555,442,064,
237,685,977,162,890,264,739,347,920,312,107,099,743,031,193,869,571,635,587,
707,508,821,770,841,326,276,578,342,806,934,915,056,574,835,483,051,648,346,
525,465,433,568,919,650,912,183,121,927,951,463,240,312,055,076,795,409,039,
081,930,755,326,997,787,275,629,064,323,078,050,303,263,497,176,322,056,153,
194,669,831,863,532,805,566,455,220,361,850,849,359,657,550,950,970,519,912,
543,879,281,750,724,458,023,227,816,311,307,423,355,043,572,086,340,783,588,
735,255,185,900,563,051,193,805,224,978,120,918,725,690,087,706,328,502,114,
623,057,882,952,646,069,592,738,448,416,440,785,550,987,479,627,275,813,463,
425,511,885,101,269,505,994,793,979,796,747,687,078,112,280,008,558,757,235,
046,845,683,006,737,425,521,113,358,802,290,495,026,841,376,734,684,426,940,
352,380,228,529,873,636,760,766,349,555,785,003,007,370,984,791,532,017,486,
684,983,399,098,916,604,027,978,235,071,469,833,894,461,521,667,564,824,616,
945,635,113,163,318,242,263,909,000,268,992,564,959,280,304,682,831,294,329,
191,172,923,923,901,023,605,257,927,873,728,634,289,136,699,079,323,646,786,
197,070,816,789,798,472,638,425,774,617,203,426,541,472,255,012,312,021,327,
096,829,553,673,377,566,988,357,505,365,311,643,833,861,559,980,368,852,768,
723,744,585,163,311,833,145,791,684,861,439,604,634,601,467,972,537,595,112,
391,151,301,568,935,132,349,149,764,643,922,670,691,728,720,186,183,178,969,
717,259,494,453,680,992,551,025,499,878,006,086,142,409,692,432,696,441,804,
393,620,625,803,901,709,756,042,188,291,055,029,326,087,645,393,395,703,028,
384,200,256,088,232,233,764,293,215,615,109,109,836,795,987,942,667,883,243,
069,343,579,994,502,726,570,273,306,928,419,944,244,436,679,049,834,331,242,
372,215,421,984,484,543,526,211,318,419,654,201,385,948,351,444,196,025,312,
800,138,708,311,518,273,404,745,752,996,748,081,505,966,952,210,436,813,163,
847,839,433,939,224,691,262,948,324,673,190,188,052,307,756,157,434,479,841,
300,381,540,889,299,751,155,487,153,286,032,442,811,880,558,268,792,743,368,
703,923,542,679,313,828,258,682,038,255,289,728,694,305,513,889,293,798,197,
290,120,610,723,365,786,607,379,988,629,860,058,708,624,283,524,155,606,090,
958,381,628,207,411,886,644,220,344,958,833,168,139,659,958,485,256,578,343,
077,595,684,095,016,847,491,551,909,591,927,876,719,523,131,473,304,319,632,
208,632,204,125,218,416,611,368,078,758,448,210,214,606,921,914,174,989,342,
652,899,487,523,152,534,236,337,877,352,842,609,475,585,594,653,630,647,121,
499,476,815,820,953,833,329,727,591,465,373,828,503,266,197,808,685,254,864,
323,412,746,124,818,363,518,178,842,519,821,705,139,012,450,465,597,072,318,
161,278,604,100,995,486,111,965,159,796,638,331,212,206,251,332,977,785,952,
915,474,477,845,936,789,582,254,931,574,770,681,111,052,805,084,676,169,669,
736,799,931,493,236,588,379,375,567,667,538,323,118,929,227,138,248,634,704,
577,340,304,464,008,895,903,182,056,977,528,901,227,177,381,981,539,462,655,
210,852,846,192,292,374,024,392,372,295,913,745,944,300,379,545,502,385,901,
310,506,205,394,137,107,191,817,556,176,984,838,465,336,519,202,423,835,119,
565,732,644,731,512,544,393,874,665,689,835,074,473,265,039,899,895,129,656,
656,722,845,879,948,107,708,424,770,509,379,682,718,993,096,550,471,933,886,
345,563,988,782,507,246,815,631,771,239,266,220,027,668,386,954,244,063,309,
938,583,410,127,215,429,626,254,302,617,973,216,868,175,361,780,375,777,581,
931,859,029,486,112,070,385,816,102,131,587,023,009,598,023,511,703,387,467,
313,293,231,563,726,669,928,328,960,522,145,940,775,681,951,105,163,100,118,
222,887,603,023,305,150,302,942,243,711,040,613,323,768,242,730,181,556,354,
385,177,059,087,673,950,150,678,279,908,641,569,417,004,334,746,217,071,842,
077,141,118,992,591,456,513,609,449,545,103,947,756,474,944,909,238,980,409,
313,079,350,900,236,288,324,274,213,029,415,706,511,352,375,128,671,225,926,
340,733,360,847,181,493,894,001,867,214,478,088,059,475,687,056,712,977,851,
462,292,432,556,773,632,393,269,106,395,008,260,281,468,422,426,845,816,711,
656,611,907,200,239,607,206,658,784,637,198,715,495,910,180,661,073,224,804,
001,548,009,459,666,818,123,890,184,754,514,170,324,065,792,189,519,903,480,
400,180,642,395,795,608,633,158,362,747,503,885,023,817,388,624,821,303,607,
548,953,061,431,624,927,840,283,762,990,345,965,219,468,660,073,310,714,136,
780,734,460,812,357,351,534,741,833,159,609,720,793,473,098,575,517,889,007,
383,756,059,429,379,192,336,067,868,204,080,077,834,509,420,320,672,887,190,
250,750,344,793,252,769,606,857,847,365,112,581,218,391,495,828,975,963,118,
538,018,363,208,569,291,229,897,855,000,651,965,748,524,968,497,948,726,752,
667,506,715,957,156,596,712,650,264,805,223,932,680,896,714,638,087,216,856,
624,823,385,946,857,789,602,709,342,651,531,109,132,750,340,018,400,648,043,
738,683,213,678,992,025,323,439,843,659,281,876,211,567,062,957,333,936,919,
409,790,020,343,488,443,295,778,842,306,204,730,452,579,860,469,497,451,496,
127,055,632,730,194,937,828,854,181,418,991,290,900,487,724,599,683,303,181,
076,628,056,123,356,469,509,047,692,936,297,084,949,020,202,439,003,583,929,
179,097,993,868,480,466,160,473,148,996,130,249,977,729,221,914,062,728,389,
411,428,047,545,674,063,626,475,696,801,060,816,003,304,730,492,474,798,817,
296,050,667,370,107,247,747,320,083,328,710,062,077,748,706,959,922,430,018,
509,476,940,991,843,297,462,224,919,349,279,902,755,133,889,534,085,938,360,
740,028,320,410,402,271,366,996,953,220,518,233,802,452,143,883,124,813,197,
890,776,706,522,080,515,285,511,999,255,239,797,014,990,469,975,198,978,147,
367,134,770,741,464,074,698,217,764,573,653,349,652,810,654,824,674,235,856,
136,205,414,108,423,141,755,522,331,931,612,306,974,251,381,862,643,638,164,
232,453,638,430,318,469,416,865,246,391,502,282,433,075,629,128,845,973,440,
954,747,794,445,565,822,175,139,526,653,040,120,554,973,983,607,225,449,768,
083,266,797,447,499,540,516,036,564,700,518,225,744,736,856,433,409,275,651,
724,826,803,855,808,357,522,564,512,008,269,828,324,561,455,107,996,390,853,
019,236,483,062,340,796,812,685,513,505,484,931,175,096,291,069,345,737,991,
892,098,595,975,295,345,454,043,139,650,142,183,316,293,228,030,932,986,565,
519,311,610,192,416,633,620,995,566,398,378,255,206,464,627,005,577,864,358,
909,363,789,859,317,458,275,755,809,416,670,501,666,298,102,325,622,155,278,
233,150,685,795,690,093,911,224,966,195,605,446,417,817,733,858,080,549,619,
612,921,129,268,373,534,245,742,555,721,317,525,828,044,295,039,832,707,442,
589,192,214,634,068,276,861,571,195,197,681,131,854,621,038,114,770,039,756,
679,712,329,991,756,160,586,201,013,914,388,944,447,168,076,863,677,922,363,
351,565,917,636,594,434,429,331,886,739,676,923,724,298,499,570,634,840,940,
914,767,704,258,236,717,545,006,305,070,446,902,076,673,830,525,947,590,725,
315,280,497,402,013,012,860,246,359,780,095,868,273,124,623,350,957,563,595,
525,807,645,094,861,616,604,978,843,967,401,762,911,420,909,693,993,805,959,
883,108,561,147,100,473,739,022,822,927,802,068,551,809,423,536,643,293,204,
666,067,497,116,774,536,971,604,753,193,344,733,984,377,020,730,126,542,744,
963,980,236,481,970,166,145,206,743,042,077,234,329,110,226,618,152,964,801,
809,270,858,196,307,969,918,588,975,120,781,726,947,491,704,685,841,613,312,
473,265,101,883,931,311,023,426,601,938,105,729,196,793,494,708,990,488,709,
323,273,960,501,099,628,843,310,996,842,834,996,199,464,110,756,434,560,142,
956,336,074,824,653,591,969,938,621,505,513,624,178,885,487,710,560,410,965,
413,240,630,411,845,054,658,876,576,145,507,399,489,194,199,675,080,057,292,
912,419,160,865,197,527,652,784,150,598,303,107,743,039,399,588,600,048,042,
985,303,492,240,682,710,706,012,001,621,903,314,807,040,708,545,993,840,693,
291,319,197,933,782,119,924,322,791,528,543,410,503,154,658,003,603,830,855,
393,295,997,467,841,988,816,384,828,458,652,437,437,417,006,227,024,682,992,
234,725,079,291,558,986,739,252,273,366,801,054,406,090,456,012,176,733,188,
470,147,125,105,918,307,651,323,579,812,423,633,966,628,481,371,913,661,075,
122,290,062,802,078,675,808,931,283,864,700,465,089,400,642,224,929,766,010,
745,172,020,775,816,668,671,153,483,760,179,423,705,567,431,008,809,879,112,
447,211,256,102,815,661,781,286,064,072,252,868,431,898,263,795,521,511,730,
146,202,010,718,273,610,094,935,623,536,515,442,878,100,877,737,066,372,693,
356,459,471,102,832,167,448,365,729,127,137,785,568,921,736,731,245,920,750,
967,608,106,854,737,753,376,494,409,762,134,881,727,386,475,023,425,536,085,
359,856,421,567,660,174,625,493,206,930,392,046,998,034,673,091,929,240,744,
298,081,988,794,873,587,064,629,053,547,538,163,565,405,297,988,765,463,341,
247,330,947,694,488,268,070,476,094,934,717,821,554,240,667,452,226,222,911,
091,291,111,788,674,388,565,450,208,098,737,399,870,312,642,005,151,289,325,
584,369,013,635,811,224,277,958,134,534,468,422,852,690,689,713,903,779,824,
503,339,681,367,627,494,205,553,795,419,816,907,389,538,127,724,566,347,259,
964,081,441,555,600,120,905,505,781,148,295,223,599,781,546,107,436,022,822,
363,891,036,094,113,901,054,174,926,278,877,273,481,565,780,062,606,106,318,
325,447,478,969,863,097,686,909,304,209,508,482,174,767,786,914,880,464,713,
270,051,196,017,606,791,300,864,294,862,231,704,779,479,784,281,749,226,281,
516,305,887,113,033,556,482,557,533,703,402,651,714,319,286,764,538,511,775,
693,101,800,052,173,115,233,723,953,614,221,956,128,402,168,488,440,538,077,
453,481,929,165,126,744,326,950,351,282,335,255,743,398,674,912,328,479,236,
292,129,470,738,961,124,635,945,699,861,737,576,091,394,581,426,906,358,198,
757,760,720,391,320,886,472,272,219,528,077,879,903,760,453,662,133,357,611,
699,883,396,761,793,080,928,248,508,897,270,861,857,464,697,537,916,184,394,
215,096,083,415,452,647,983,318,010,742,426,843,269,705,413,490,474,221,062,
801,199,659,699,375,840,678,718,664,786,147,923,837,163,231,785,879,055,496,
097,131,652,749,607,144,007,169,616,114,150,535,810,496,119,968,744,049,351,
549,521,847,092,135,345,471,328,125,257,764,497,347,099,811,044,723,710,447,
591,982,261,788,834,289,990,550,366,331,302,659,881,256,720,150,161,807,366,
908,175,721,415,517,840,062,236,350,769,911,546,815,707,192,208,702,198,304,
038,740,413,041,563,302,686,776,670,832,276,972,759,307,410,421,091,360,928,
675,353,053,669,533,002,423,444,634,744,922,870,982,310,720,724,004,796,027,
696,686,418,722,995,717,058,320,540,845,812,371,789,766,833,951,209,482,364,
661,846,260,938,857,746,031,323,104,870,027,468,195,473,056,468,545,184,999,
041,414,529,926,248,251,198,847,878,531,931,315,892,711,780,238,976,383,776,
337,689,505,404,619,444,055,576,542,325,842,551,157,744,582,695,082,034,721,
367,325,600,558,283,123,202,278,169,514,016,694,822,717,188,981,575,842,669,
016,303,271,173,350,178,056,382,692,496,186,505,697,722,682,733,180,391,717,
799,697,497,412,403,104,151,479,307,034,741,444,213,818,164,507,361,584,164,
793,509,134,353,676,292,238,031,714,020,793,280,313,536,237,772,863,695,079,
359,686,168,805,816,545,992,605,039,432,851,221,763,215,953,687,061,609,695,
140,895,615,825,082,061,651,280,421,570,365,459,832,244,969,048,102,810,672,
543,355,813,175,370,598,653,000,343,190,969,688,592,165,044,133,373,983,343,
408,347,931,911,265,969,047,304,202,599,348,477,577,291,766,086,753,883,577,
237,190,627,916,221,868,141,251,887,608,429,191,224,484,595,012,735,031,004,
238,175,756,594,185,543,597,641,540,345,711,531,442,298,905,509,637,623,594,
357,095,291,731,807,409,580,991,771,893,086,181,947,512,476,077,397,794,429,
701,165,004,683,521,193,201,076,131,755,043,153,739,180,348,770,780,931,555,
061,235,758,111,547,190,635,625,274,110,659,956,157,137,424,095,417,474,682,
888,829,739,354,620,884,979,192,695,553,226,242,398,970,536,171,829,301,001,
077,032,503,812,708,356,907,519,060,809,124,459,558,405,323,815,368,137,613,
440,988,362,780,618,024,220,923,611,414,039,182,256,741,953,642,164,575,868,
060,464,672,673,731,605,431,854,235,816,737,785,572,830,354,738,250,171,845,
582,875,828,469,778,676,348,154,158,873,576,580,464,766,691,019,836,682,166,
937,956,330,385,637,870,294,248,145,564,894,728,985,748,891,786,893,275,768,
838,218,063,575,509,054,335,884,697,119,469,229,408,239,795,414,394,505,730,
966,797,843,813,051,478,991,302,641,143,631,759,359,040,853,121,306,337,096,
166,625,829,811,293,890,329,072,546,736,529,199,902,000,989,450,855,347,728,
239,151,676,575,682,910,911,718,838,952,616,798,259,220,878,005,232,528,616,
529,465,966,591,785,445,004,164,445,552,628,839,533,797,159,141,012,036,267,
050,173,787,610,375,480,718,154,353,155,526,399,179,603,053,656,317,873,267,
984,009,748,909,881,456,735,608,777,011,904,821,084,759,331,942,226,181,474,
528,024,857,886,050,086,862,190,732,934,732,040,320,467,137,902,887,245,168,
201,170,146,916,043,347,343,336,823,038,294,631,072,281,305,590,616,705,403,
140,825,938,556,468,731,071,564,561,737,149,828,818,824,667,466,389,461,729,
076,628,439,830,220,227,293,677,405,724,178,175,922,067,099,274,054,842,065,
047,047,085,533,248,178,958,177,872,112,951,826,921,584,207,683,270,310,493,
626,798,203,854,190,128,890,705,111,958,067,898,641,364,947,475,924,815,985,
043,721,430,492,808,365,638,557,185,084,636,257,757,826,959,762,230,754,625,
627,863,969,689,226,761,522,832,608,144,354,640,557,114,679,762,638,953,349,
087,728,654,033,638,820,905,661,683,396,623,740,106,200,798,571,761,679,981,
261,433,050,564,872,985,954,000,409,267,456,356,205,015,804,679,145,888,111,
234,784,641,076,755,140,497,815,941,453,735,716,843,127,158,650,746,142,737,
562,748,219,145,258,057,621,847,990,592,931,033,777,165,140,120,039,887,742,
252,974,342,256,545,933,193,531,435,614,742,238,511,951,285,637,845,805,907,
407,560,509,095,860,194,204,795,932,614,603,396,582,455,102,896,352,861,522,
972,070,432,946,149,046,055,841,561,737,833,418,637,584,335,028,984,271,045,
911,776,597,490,562,823,316,146,698,326,338,157,645,936,368,189,737,747,839,
659,677,314,509,117,734,448,975,191,281,179,175,268,785,793,060,989,438,162,
284,911,789,884,284,795,227,230,006,422,074,524,214,481,860,444,578,556,625,
183,099,656,991,254,856,871,380,376,777,957,660,447,946,187,356,697,103,984,
884,518,852,102,325,689,313,346,576,514,810,860,194,612,972,376,963,921,549,
394,761,568,021,404,166,997,686,299,816,247,094,674,303,504,371,882,948,991,
809,488,815,168,864,224,616,741,615,705,838,435,296,117,877,738,396,215,046,
857,242,321,086,567,338,910,802,647,502,265,699,972,667,021,326,334,487,708,
528,176,517,170,182,501,262,501,773,550,501,178,098,435,522,901,012,355,083,
906,502,203,859,285,749,469,177,587,255,380,394,089,826,529,766,245,260,576,
666,632,418,408,620,284,101,001,779,531,903,764,054,296,183,216,358,106,696,
202,380,395,822,131,227,535,562,593,246,283,798,440,986,787,224,138,398,799,
943,068,091,193,343,388,053,302,069,401,005,903,796,314,238,330,354,494,053,
319,634,067,058,405,582,916,318,445,570,615,252,104,234,321,798,347,856,032,
738,478,851,398,705,226,690,501,098,859,347,023,062,632,137,205,696,577,081,
325,793,438,894,413,913,460,448,296,833,858,874,536,625,340,810,319,056,098,
876,005,913,221,586,263,492,568,701,536,307,449,495,310,964,713,050,049,957,
385,767,775,932,353,980,339,966,636,357,993,992,425,588,226,213,315,073,728,
050,469,988,182,245,064,014,534,027,185,035,466,310,379,922,161,928,014,857,
061,944,111,543,581,530,815,298,473,216,935,207,512,465,374,327,353,852,985,
083,949,775,177,547,906,302,073,133,827,436,534,553,263,087,975,852,425,424,
419,713,381,817,954,152,311,144,702,429,457,552,487,103,443,662,163,136,120,
145,712,252,268,979,735,852,837,993,491,548,640,958,227,731,720,690,497,692,
005,942,627,242,593,159,128,360,793,580,049,713,234,133,915,429,067,784,935,
479,036,320,194,601,788,992,719,795,787,672,795,079,076,562,289,711,782,487,
587,648,357,405,244,615,716,113,705,727,331,697,300,171,194,530,397,861,076,
830,963,251,168,014,643,176,488,503,326,670,713,872,144,707,866,147,465,310,
031,870,166,300,096,083,565,301,777,049,312,467,203,247,388,134,170,981,131,
581,885,775,048,038,428,639,138,985,938,611,554,107,586,451,097,508,811,938,
070,039,462,264,730,817,630,639,251,356,993,776,432,019,984,919,858,822,483,
274,289,433,811,311,069,179,916,677,497,508,451,265,042,012,045,338,998,824,
744,936,566,377,393,036,761,910,601,647,184,877,168,722,345,804,524,185,953,
440,404,901,935,629,706,229,930,175,569,036,633,792,552,184,571,773,304,407,
225,539,970,331,269,076,237,994,835,087,779,560,346,635,763,812,779,359,199,
124,277,543,264,807,672,966,628,945,268,477,236,487,569,043,439,370,901,682,
061,186,440,617,419,119,512,248,034,311,446,772,332,749,843,757,214,502,354,
367,507,556,993,863,910,953,626,944,206,718,760,744,859,188,208,433,561,423,
473,077,610,017,668,879,749,584,492,985,772,958,775,815,233,780,085,605,534,
016,808,440,726,862,910,128,682,146,318,416,349,895,841,666,241,146,081,548,
569,212,519,235,554,975,031,847,206,868,809,998,057,698,326,690,410,098,467,
321,049,574,594,744,192,476,712,873,323,372,541,143,589,232,777,464,873,161,
402,820,575,897,622,282,311,236,058,430,444,800,020,288,841,056,361,531,544,
216,423,001,448,190,478,562,976,420,446,903,553,691,292,673,146,321,992,126,
051,608,127,182,334,569,229,619,041,432,260,511,897,788,512,155,884,679,405,
107,304,494,573,133,075,767,055,415,015,448,042,042,044,826,187,206,201,202,
239,698,284,899,909,951,635,352,099,229,404,215,809,035,580,933,611,651,740,
723,621,312,576,385,492,719,247,764,059,479,093,033,000,986,955,021,600,433,
367,561,032,786,929,019,614,035,619,230,681,632,724,312,880,096,925,835,737,
896,719,034,027,019,752,925,844,751,946,140,587,781,968,994,295,184,128,069,
926,417,945,178,947,000,555,983,338,589,203,585,884,827,529,238,836,686,570,
016,099,340,098,671,958,200,450,122,121,342,793,394,985,426,360,714,931,757,
523,732,915,539,473,427,852,081,776,512,890,475,684,448,879,975,909,695,383,
819,297,715,043,922,006,397,210,932,785,361,622,422,485,141,041,088,212,386,
076,672,040,125,491,927,063,944,200,619,684,793,696,524,773,749,776,800,085,
592,728,190,783,051,429,975,403,299,960,555,676,214,389,760,708,073,524,844,
177,796,457,281,418,136,606,474,638,996,316,452,311,607,335,334,992,222,657,
369,182,386,308,394,835,328,948,490,322,970,286,577,745,890,958,544,609,054,
573,828,330,240,736,955,143,489,598,891,076,603,432,436,521,085,148,924,758,
500,286,516,070,047,970,481,659,155,279,718,944,824,879,832,668,840,543,537,
538,749,245,219,030,923,426,804,461,042,341,203,989,002,860,757,374,214,895,
428,407,767,166,400,727,034,808,612,526,373,273,508,125,670,151,981,668,228,
876,045,289,048,730,282,123,792,639,083,830,416,749,112,241,302,439,705,866,
873,827,323,795,319,329,313,403,482,222,364,936,983,007,609,855,963,525,572,
357,338,363,323,645,013,802,191,160,889,775,138,103,113,313,401,004,627,540,
989,341,659,966,608,674,494,619,937,677,051,861,028,544,748,967,006,885,963,
047,455,611,139,151,066,794,745,748,820,371,578,697,120,380,773,703,973,321,
033,509,216,769,881,436,211,107,977,338,924,893,493,565,517,175,365,975,329,
068,439,589,013,648,391,043,499,957,159,705,119,937,136,984,990,644,201,557,
390,735,828,273,322,986,197,384,129,627,281,601,802,846,464,399,690,270,718,
250,243,531,960,464,000,133,712,724,454,911,223,835,176,521,629,695,750,394,
972,894,191,483,252,661,685,345,763,650,348,899,961,887,643,495,720,676,157,
595,872,072,350,309,300,943,773,385,855,359,010,190,126,167,465,521,384,863,
747,873,194,623,221,585,257,874,735,854,118,334,290,675,354,228,126,047,491,
027,267,337,456,432,656,527,642,228,807,630,510,219,566,250,395,372,838,364,
671,352,080,527,548,895,485,235,296,175,201,945,433,490,296,348,084,015,421,
767,449,844,746,308,550,197,712,735,896,917,379,806,050,769,313,683,047,755,
847,686,931,002,672,087,806,866,872,402,262,080,304,949,672,272,107,674,101,
526,543,268,959,466,482,513,760,860,395,892,661,936,088,502,957,214,271,831,
165,629,041,865,889,287,561,188,452,661,145,677,391,929,239,594,821,736,667,
105,837,753,765,984,097,921,484,221,833,636,394,126,832,712,927,076,889,593,
120,963,288,730,526,074,559,893,474,232,705,641,409,364,285,666,084,089,816,
305,576,847,007,146,144,595,900,319,820,178,140,572,246,153,827,919,846,913,
621,848,237,087,218,869,400,298,702,738,099,828,695,902,172,787,393,563,043,
074,478,165,411,218,352,690,328,393,113,293,588,362,816,203,757,514,736,964,
965,381,900,998,630,750,804,128,681,955,768,626,649,470,479,735,546,750,850,
274,420,170,879,400,917,695,586,747,321,131,245,190,355,499,612,093,724,547,
719,636,447,520,958,470,593,694,403,518,343,791,424,318,963,909,781,208,982,
488,558,995,752,729,330,533,918,262,677,284,897,682,310,974,938,810,210,125,
897,569,085,823,914,360,654,577,105,480,942,753,925,013,733,469,340,767,484,
673,227,728,542,134,143,033,354,005,858,273,977,849,414,184,408,763,806,900,
588,091,509,817,404,665,324,633,464,026,917,402,005,737,260,293,912,974,804,
200,861,969,801,304,630,111,078,186,128,363,714,686,459,663,216,280,896,973,
207,836,834,226,948,833,676,427,822,787,879,767,206,863,653,361,913,570,739,
951,167,383,535,106,382,055,638,279,067,107,180,813,172,538,229,972,014,071,
149,669,132,691,662,543,736,266,847,873,236,610,160,823,367,195,262,317,730,
999,065,201,408,025,495,368,944,433,628,313,777,991,054,861,914,857,222,948,
511,316,024,922,583,227,105,122,804,166,189,794,303,069,123,671,522,169,986,
294,056,438,724,155,239,251,208,374,508,161,083,232,554,738,260,052,115,749,
550,817,575,849,035,800,912,590,158,767,696,811,922,815,199,964,640,241,380,
759,183,036,992,392,734,731,163,487,188,538,052,034,854,103,535,423,642,564,
080,245,755,658,292,132,444,800,038,496,057,914,901,238,867,816,289,337,581,
661,271,299,373,337,177,034,041,560,851,423,293,890,011,771,511,156,100,578,
808,700,973,236,089,107,547,398,057,785,840,701,011,006,242,704,050,888,604,
455,818,810,803,832,945,291,439,336,865,302,902,966,258,108,322,217,010,351,
524,538,281,998,769,884,509,253,462,338,851,486,454,441,136,730,030,889,883,
043,644,900,772,930,773,079,020,643,464,689,099,922,849,543,584,653,548,392,
934,566,839,833,005,513,597,881,086,524,224,498,431,321,293,482,314,868,086,
112,209,326,552,866,060,190,337,163,322,259,477,707,748,478,558,557,080,209,
517,049,806,556,988,947,414,348,330,175,352,379,193,307,888,612,772,508,353,
342,906,667,259,998,036,593,930,221,061,351,896,042,821,579,739,400,228,254,
734,957,597,833,611,740,494,050,157,567,013,969,028,222,308,396,179,667,625,
148,497,924,562,127,643,047,119,316,155,161,455,108,818,589,915,864,681,490,
865,890,542,808,999,105,056,254,975,062,508,774,816,054,025,323,468,078,737,
058,496,698,021,882,661,479,748,927,307,005,850,884,786,261,733,987,467,198,
966,334,768,742,655,903,755,237,592,878,339,628,617,137,300,821,312,338,884,
631,804,570,539,993,649,419,606,400,436,330,618,108,556,666,191,408,345,080,
725,293,885,709,423,007,233,680,693,420,480,801,195,341,885,946,655,652,417,
183,504,063,423,511,481,305,620,315,339,038,243,120,237,903,549,209,636,352,
019,096,110,917,090,900,310,441,669,693,376,094,244,371,304,333,736,307,178,
592,814,182,774,233,069,789,228,748,578,516,440,540,194,999,827,816,983,734,
112,078,091,943,862,992,804,664,973,129,383,858,651,661,335,613,922,949,190,
762,302,497,546,548,788,781,457,080,749,455,061,963,376,833,952,634,002,074,
987,053,619,122,014,215,881,671,749,306,231,465,994,976,184,096,911,272,508,
338,179,996,217,705,492,932,094,940,998,478,607,581,814,384,482,813,485,996,
531,688,760,221,472,952,105,706,321,871,173,253,956,890,437,465,012,793,374,
647,165,002,098,443,332,206,126,284,600,746,180,612,815,132,838,609,867,188,
793,279,239,369,109,354,467,227,613,084,188,394,069,385,112,529,371,047,849,
243,145,186,039,518,875,700,259,509,023,140,866,692,384,765,416,900,856,534,
632,826,367,936,957,673,866,029,513,998,546,232,784,209,729,774,132,001,204,
953,622,912,454,956,952,917,021,936,718,012,744,195,584,151,497,723,938,470,
353,740,561,538,204,805,260,834,978,606,174,624,769,251,918,637,975,244,768,
738,456,330,945,750,629,361,125,478,140,904,868,763,926,402,660,202,622,096,
238,198,594,844,120,715,738,353,753,450,189,232,294,421,825,835,732,483,834,
664,128,313,775,793,344,417,565,660,771,381,805,761,686,199,691,980,599,051,
187,601,116,318,212,539,008,952,484,212,771,634,504,296,377,311,760,488,172,
257,105,033,769,265,239,652,313,176,401,816,020,763,115,471,609,420,886,132,
255,243,148,270,441,812,475,829,003,328,045,232,014,593,923,981,677,563,554,
770,259,496,425,482,446,530,083,906,204,242,475,090,919,304,964,491,262,061,
002,171,376,310,838,532,840,257,966,435,628,817,136,487,700,530,880,061,965,
538,723,541,818,470,507,132,446,514,032,667,866,038,274,447,547,485,741,720,
267,360,368,075,486,127,752,979,785,685,705,018,827,378,161,997,134,819,749,
990,160,639,121,290,655,051,917,822,822,023,972,160,503,316,522,310,434,112,
717,914,562,477,472,161,869,979,981,556,003,626,120,211,532,928,151,641,718,
297,430,311,907,314,848,913,183,368,070,297,481,674,285,835,588,576,231,641,
470,140,641,847,075,907,882,518,481,364,323,258,827,095,443,461,194,890,390,
193,345,182,380,252,196,333,156,785,949,850,151,743,872,328,158,469,329,106,
736,257,612,611,801,837,195,187,007,561,875,007,319,644,029,665,950,450,197,
057,814,839,099,654,805,431,526,966,273,005,158,035,884,992,011,353,876,195,
313,556,842,982,296,899,497,966,017,727,546,305,451,744,671,136,490,420,021,
131,661,894,925,196,804,178,167,605,507,120,130,718,718,565,998,606,596,861,
712,270,428,423,077,975,168,731,885,174,126,354,434,190,771,503,848,198,855,
559,563,845,222,575,207,756,288,607,645,677,656,491,667,514,218,331,613,162,
504,899,055,128,017,304,129,515,963,952,006,378,088,781,196,858,181,759,553,
893,827,298,897,781,090,705,865,506,403,743,895,759,197,651,653,043,035,552,
075,706,355,447,717,565,982,613,215,232,866,938,176,892,221,412,655,499,460,
414,033,309,184,101,629,506,877,224,457,530,751,346,503,039,853,431,923,465,
106,433,225,909,752,157,461,129,724,433,876,068,669,984,102,636,809,670,964,
105,535,994,737,007,615,815,921,211,034,553,262,068,055,477,694,411,900,616,
984,550,498,108,900,745,705,960,426,219,954,859,026,623,605,466,543,505,211,
293,701,941,351,485,897,818,464,705,469,342,564,458,478,285,527,822,330,684,
298,880,585,631,085,562,768,838,521,668,996,412,939,287,433,805,790,759,506,
281,283,173,007,839,342,818,784,618,746,628,389,139,883,385,197,401,498,812,
235,451,842,057,685,606,644,895,099,620,414,379,434,827,789,719,087,550,184,
662,323,934,511,919,849,551,437,305,101,366,114,096,778,672,144,758,417,949,
584,345,712,339,470,443,399,800,099,385,444,866,581,341,382,042,095,467,314,
809,007,264,324,849,373,254,666,492,321,801,791,252,016,609,009,107,448,918,
430,981,212,765,382,826,204,444,505,856,446,557,708,651,441,507,434,347,628,
690,251,205,794,876,942,917,660,569,387,322,716,922,399,777,701,547,183,242,
764,491,438,890,068,561,592,578,394,168,731,588,190,000,081,150,898,167,630,
101,278,180,921,301,602,814,039,714,411,344,682,828,845,962,330,145,134,531,
101,139,285,659,464,837,381,429,116,293,065,540,122,475,953,489,830,616,658,
565,241,882,814,028,579,703,950,421,908,645,692,379,780,850,431,101,012,123,
639,931,833,314,530,027,352,925,731,814,472,965,265,307,154,012,605,815,295,
427,582,498,171,023,494,038,627,707,090,527,029,159,806,044,069,605,213,397,
264,227,453,941,539,130,793,243,646,009,992,237,874,909,930,905,577,821,104,
434,417,079,152,060,153,467,955,612,717,605,281,758,566,592,304,344,795,379,
099,648,304,635,242,546,100,880,335,543,931,697,752,540,349,096,118,539,028,
900,982,699,190,654,115,453,292,951,300,215,410,938,907,491,012,292,317,018,
062,801,780,118,749,072,730,019,635,391,685,674,178,387,428,626,784,189,634,
995,395,716,880,916,447,620,975,680,789,271,051,927,564,072,230,231,143,664,
728,409,825,290,960,835,626,363,674,071,150,768,437,437,855,151,015,703,210,
236,204,956,789,259,777,652,516,060,501,448,432,771,787,845,105,551,167,178,
351,861,853,282,915,844,940,878,690,510,550,720,788,570,328,941,560,860,404,
754,302,368,902,905,118,251,040,163,756,516,093,950,242,552,333,309,147,561,
052,102,362,825,940,949,223,932,179,689,806,111,060,134,585,912,803,281,600,
544,392,481,970,062,567,727,461,038,064,987,822,351,997,808,005,635,159,450,
107,506,806,468,558,999,173,110,136,611,494,621,890,621,025,217,593,846,716,
859,853,676,866,220,920,347,975,400,651,122,053,361,165,856,744,456,983,733,
042,303,815,108,369,862,879,207,500,967,475,829,221,512,595,936,877,435,910,
620,816,462,752,107,408,806,872,503,182,495,091,925,171,502,875,012,017,963,
210,733,618,910,667,576,400,670,088,572,861,857,773,151,932,010,013,317,996,
262,182,048,629,994,580,196,792,418,660,377,545,531,829,456,912,663,081,581,
199,939,065,740,738,553,105,215,225,671,105,644,611,409,969,987,494,467,178,
453,349,161,565,550,165,687,149,277,792,964,041,337,211,824,212,413,873,250,
199,125,416,407,429,372,253,760,013,829,768,529,225,468,152,254,887,821,529,
030,394,653,850,044,031,836,713,190,282,739,897,751,759,263,144,632,197,802,
338,406,007,481,639,763,736,744,062,275,943,003,420,985,871,120,065,224,498,
404,342,164,360,068,395,896,678,909,902,829,354,240,901,158,624,269,206,165,
848,935,014,908,109,044,096,756,074,593,197,046,929,343,320,443,550,390,993,
566,887,419,403,750,465,880,683,346,646,341,970,137,558,044,560,128,970,621,
242,625,934,295,845,340,233,138,831,061,903,932,798,163,740,183,608,748,691,
493,479,827,987,324,525,663,897,532,984,892,351,225,928,856,520,789,017,150,
291,024,861,328,246,915,076,558,653,286,453,447,498,011,755,491,684,532,433,
428,044,668,592,871,194,736,065,680,970,051,879,146,206,458,127,186,502,229,
584,999,978,149,264,267,320,864,659,076,813,266,136,142,537,879,611,668,038,
493,331,970,200,854,066,161,920,263,378,612,551,441,019,912,887,133,142,371,
421,289,269,197,732,505,536,804,185,950,295,783,155,587,570,806,428,490,036,
749,352,028,907,690,972,828,809,210,084,405,313,231,892,779,715,943,697,179,
897,249,661,587,507,601,920,965,306,586,778,257,346,752,280,697,513,733,189,
264,947,568,005,994,182,716,617,478,061,715,847,380,988,906,877,391,944,117,
236,575,751,712,571,492,513,292,952,459,074,453,012,977,282,105,728,411,258,
599,915,263,132,014,989,600,870,058,420,673,992,801,553,343,717,026,240,845,
293,328,392,982,057,673,979,122,894,804,896,700,664,885,689,287,736,976,153,
839,620,317,390,322,963,118,562,741,122,020,345,170,118,247,294,731,787,665,
325,010,970,613,582,345,791,964,495,185,167,060,639,999,775,286,399,326,616,
519,058,293,451,237,640,450,764,529,798,547,943,197,908,685,929,157,921,450,
943,667,394,640,317,308,362,342,032,493,505,778,339,927,047,100,449,605,975,
155,995,517,041,043,127,128,924,626,640,238,475,774,308,733,828,312,982,186,
342,350,733,817,991,995,414,812,399,888,907,457,979,379,619,039,872,454,861,
489,674,380,673,542,847,564,348,669,397,126,234,529,127,119,793,406,862,520,
895,258,608,867,750,655,869,153,602,901,460,346,125,229,317,000,020,196,908,
217,821,223,315,755,069,139,065,420,663,788,365,411,777,524,507,853,172,666,
998,318,700,540,239,323,495,866,331,087,328,402,443,162,263,916,452,870,212,
629,967,031,796,761,162,341,488,938,928,544,705,361,464,191,278,940,238,080,
080,550,565,859,857,048,869,875,602,141,623,242,304,009,716,931,004,099,606,
794,677,925,646,483,457,913,509,109,932,193,199,723,773,554,868,446,439,623,
100,803,007,171,868,060,531,662,857,832,688,734,976,898,619,651,637,319,665,
345,502,831,112,557,766,538,514,514,872,328,279,502,632,770,254,802,178,695,
487,163,599,849,928,609,934,736,503,310,354,200,391,165,071,771,540,505,426,
115,376,175,654,921,867,930,454,662,632,613,702,506,859,356,978,696,059,237,
141,468,811,558,241,942,293,523,968,489,311,949,869,238,078,248,975,950,585,
064,420,984,314,522,387,887,254,146,215,360,083,782,114,929,434,478,876,770,
253,755,712,169,837,630,287,135,831,949,358,434,933,684,276,775,033,353,380,
410,160,586,528,983,714,036,905,970,329,128,427,313,906,061,794,495,125,607,
900,550,334,740,661,946,619,625,321,390,865,508,778,377,944,050,182,933,484,
629,889,542,052,921,793,924,949,517,373,880,103,075,731,554,490,075,784,785,
794,488,037,317,145,154,072,579,909,929,561,806,353,412,921,747,225,691,853,
191,521,139,424,081,880,765,154,806,597,555,888,012,444,244,445,059,937,644,
421,001,075,744,076,018,588,199,132,673,696,096,499,203,908,378,564,959,719,
701,051,814,881,497,641,375,443,743,245,737,139,278,671,235,873,246,883,390,
316,135,943,786,132,143,915,347,966,356,243,822,615,986,616,582,393,097,383,
137,241,557,812,440,670,305,056,267,868,342,225,139,767,207,760,049,525,663,
334,864,427,678,671,277,276,635,962,758,502,114,147,276,095,987,474,799,774,
322,292,352,737,900,200,499,632,949,706,338,729,366,635,285,621,065,928,817,
880,635,998,873,286,372,191,168,949,336,507,556,570,583,230,814,367,421,727,
567,089,551,446,336,929,902,063,743,212,083,749,154,036,696,951,443,332,804,
266,731,997,749,585,968,602,447,597,833,069,495,644,711,269,728,115,803,684,
431,353,802,842,470,963,857,619,850,394,459,026,254,777,096,124,706,911,263,
550,746,665,652,871,677,978,423,637,347,467,586,595,458,687,785,034,559,443,
174,224,918,036,405,481,387,021,213,785,492,397,680,084,027,371,614,308,837,
136,272,078,494,415,643,153,932,333,490,411,210,586,599,039,552,863,081,070,
876,223,683,924,919,181,993,647,965,842,907,380,319,779,591,885,661,230,317,
232,278,744,373,084,812,059,082,704,412,837,763,251,741,783,680,590,321,469,
963,855,771,998,731,162,014,066,924,785,696,696,852,357,425,859,848,823,390,
323,726,426,235,009,808,501,727,909,141,280,613,278,890,966,490,337,413,218,
070,615,177,081,599,740,781,544,439,183,700,255,473,743,819,619,622,510,409,
109,375,090,733,468,757,122,184,100,208,031,977,638,775,919,725,867,142,251,
013,085,894,967,186,351,879,394,772,912,296,105,969,645,581,841,353,794,190,
727,463,706,510,161,665,611,366,812,811,335,402,822,133,138,557,101,869,845,
101,985,260,298,534,382,429,948,567,964,576,400,622,882,586,004,059,241,911,
054,144,219,744,872,845,918,506,598,977,117,099,896,706,995,490,944,333,632,
651,721,226,800,441,404,340,183,286,300,611,647,748,681,606,279,239,504,424,
125,530,903,328,844,719,997,419,143,461,785,683,309,515,145,473,055,342,890,
796,895,700,364,488,338,580,924,624,213,880,512,334,345,493,700,618,110,499,
749,811,271,873,680,760,859,285,171,661,832,238,678,147,958,924,695,955,753,
412,608,617,230,329,778,617,011,623,362,794,620,335,760,677,458,198,212,601,
239,638,685,651,844,235,675,506,676,793,189,114,060,150,821,013,782,313,820,
089,826,599,401,669,231,744,115,214,571,918,236,842,585,807,081,163,453,136,
082,695,616,368,187,118,035,636,905,465,436,830,477,808,764,394,570,142,873,
423,540,216,076,113,595,245,402,688,421,630,772,097,845,910,244,591,378,763,
218,244,378,333,046,489,688,016,866,181,835,380,271,263,743,522,308,557,405,
468,532,906,685,347,989,659,090,334,685,203,512,992,464,241,376,442,083,570,
904,435,771,526,089,225,585,731,554,224,837,020,338,429,286,032,228,594,608,
103,817,790,390,539,437,634,575,145,127,646,241,793,703,251,010,035,240,809,
288,769,466,762,212,978,485,660,695,853,976,463,924,602,882,628,408,938,618,
195,938,266,486,519,827,997,097,465,537,378,992,731,389,740,739,783,747,572,
605,616,102,347,509,069,973,640,402,215,607,770,142,263,188,491,301,416,694,
198,884,567,269,197,262,978,227,788,121,756,030,058,977,037,243,378,997,147,
898,189,288,554,004,723,860,267,334,883,896,501,769,856,269,409,986,115,174,
854,032,744,224,136,460,494,938,478,618,886,482,246,272,942,958,208,143,836,
931,509,871,921,020,212,277,391,930,561,064,266,627,661,730,112,421,545,759,
525,471,665,476,758,422,264,658,014,196,025,128,844,219,786,137,160,570,040,
450,166,468,834,181,662,373,212,631,681,856,405,673,796,066,163,949,263,633,
777,719,914,047,191,452,923,052,136,839,401,673,794,768,182,428,009,899,083,
374,420,632,379,899,813,877,384,245,361,602,789,159,109,753,313,313,504,333,
471,193,770,547,231,134,507,458,507,952,901,620,679,110,597,391,133,701,320,
644,980,751,659,859,650,584,694,848,028,808,329,050,743,648,294,898,239,092,
008,755,611,554,181,215,004,948,455,691,326,110,433,091,365,700,842,626,217,
546,480,909,609,323,714,373,844,658,008,906,202,723,314,822,270,663,647,644,
598,816,350,456,037,873,227,482,775,904,171,983,120,007,945,368,695,340,902,
599,013,680,510,856,544,657,828,789,466,510,168,097,334,889,469,614,259,716,
089,973,915,521,620,763,533,029,266,735,555,454,517,039,218,293,900,860,450,
922,639,682,783,041,811,019,886,579,592,495,044,414,510,776,822,093,320,511,
102,107,676,112,901,015,086,666,279,164,384,135,031,247,771,929,771,121,012,
761,060,219,734,950,080,003,898,346,897,389,336,174,926,958,448,893,563,507,
727,647,722,478,149,320,211,019,063,823,077,913,014,337,267,987,892,408,980,
504,953,671,130,602,421,808,135,965,921,888,814,779,138,562,533,528,299,863,
953,134,858,216,773,455,748,610,695,045,767,480,201,364,843,017,794,595,681,
479,542,818,175,914,572,386,078,223,715,697,838,830,346,738,476,225,552,494,
539,937,637,472,462,548,156,244,451,248,385,679,065,671,850,966,540,119,289,
109,438,593,872,865,025,098,175,484,936,326,789,035,728,289,692,011,670,009,
221,511,401,758,474,431,988,472,739,670,374,750,347,038,028,355,366,525,273,
307,714,369,235,402,600,714,989,611,184,225,721,911,084,420,814,713,803,477,
022,665,753,601,452,754,000,299,778,952,623,475,428,729,083,602,154,305,274,
821,753,734,862,754,615,950,624,836,834,410,320,709,020,038,337,490,748,146,
481,688,550,189,587,546,246,971,346,864,715,294,378,006,317,171,909,080,332,
062,827,656,728,069,756,898,636,559,359,786,137,040,984,019,261,583,527,229,
150,710,132,654,184,686,253,625,164,519,794,892,252,025,445,160,637,858,556,
105,657,777,492,057,857,737,152,446,249,447,406,641,432,321,315,834,129,135,
048,439,337,038,721,877,433,066,698,374,474,090,173,672,413,738,548,229,257,
019,685,747,346,372,959,809,766,613,492,118,608,177,240,820,708,041,575,383,
880,248,329,306,582,563,682,068,404,343,021,011,709,279,629,374,529,123,652,
911,382,964,653,944,166,160,623,279,216,794,933,282,895,221,721,425,642,911,
076,349,348,364,065,684,543,522,457,599,192,297,377,647,805,209,575,465,010,
392,825,241,827,994,639,477,424,977,194,369,604,141,462,648,423,507,130,486,
248,078,335,541,946,117,495,555,488,986,174,316,517,256,443,767,621,849,720,
821,255,990,079,199,928,896,292,937,146,207,726,509,676,177,236,778,209,234,
006,509,586,247,444,907,405,336,655,326,751,439,734,381,433,633,249,241,748,
927,872,892,472,489,009,856,721,836,252,036,965,185,307,455,814,689,623,244,
566,774,789,061,481,939,752,456,599,735,533,191,587,832,547,609,954,506,861,
684,643,024,971,830,010,243,872,964,820,515,121,619,982,437,931,145,685,157,
092,552,582,388,879,685,176,788,861,964,943,809,252,436,911,425,212,315,870,
606,951,028,059,872,316,462,223,932,067,107,048,875,522,439,174,974,795,896,
625,441,697,394,176,594,025,466,364,644,030,945,294,249,460,244,806,722,519,
615,071,493,887,322,827,257,023,740,719,037,079,137,785,240,148,248,660,170,
155,314,432,609,431,421,360,708,827,306,204,230,940,800,652,938,863,684,511,
335,847,740,446,175,014,132,438,929,745,892,829,358,254,018,146,484,976,488,
597,859,051,945,077,633,959,572,766,089,254,270,641,043,022,097,523,323,491,
175,003,391,145,220,520,813,496,258,029,037,603,183,864,891,166,487,724,059,
848,787,014,228,993,056,494,769,899,151,328,068,890,362,439,359,480,393,785,
902,733,447,390,653,944,726,029,659,192,024,039,390,178,599,601,413,871,089,
799,247,908,151,796,368,743,022,525,931,927,836,028,140,907,672,182,775,433,
907,279,537,953,552,207,184,589,879,446,065,514,208,873,803,651,801,788,323,
651,588,584,374,798,426,985,899,868,932,444,366,978,514,367,862,678,567,175,
985,802,087,634,477,321,462,363,925,745,694,984,975,801,952,579,841,621,724,
247,309,741,608,755,076,241,987,712,456,879,637,262,934,191,056,808,392,559,
033,500,833,693,798,876,770,589,884,939,205,743,656,213,012,368,608,720,341,
930,497,623,622,691,496,677,911,210,859,422,613,379,245,312,190,244,777,419,
291,950,920,495,286,380,093,621,397,542,246,022,441,922,776,499,694,677,703,
433,728,322,644,173,868,657,202,481,625,033,025,780,794,709,201,440,587,539,
289,289,437,894,660,049,075,938,328,012,824,985,971,793,773,224,490,665,249,
836,796,724,281,973,751,969,817,171,965,740,881,328,849,739,734,168,891,824,
891,421,452,506,119,669,220,132,458,709,090,291,507,908,321,830,093,097,586,
071,719,717,811,327,617,186,650,961,371,090,898,173,770,204,104,581,833,372,
540,610,170,985,754,604,594,145,501,166,630,903,611,781,087,724,096,507,498,
148,553,307,331,307,084,362,690,175,429,027,158,805,293,083,858,614,157,457,
632,057,135,333,796,891,363,142,955,588,127,919,244,690,784,204,466,695,412,
731,664,291,658,959,636,227,716,885,698,552,002,769,746,632,900,978,923,876,
626,956,070,494,644,742,021,051,480,908,912,365,042,238,162,136,535,160,674,
241,059,728,230,700,431,646,833,155,264,625,160,233,635,941,179,666,733,980,
924,484,440,548,876,491,835,112,057,845,685,512,563,012,179,381,593,191,941,
114,964,547,862,972,334,403,540,494,939,306,530,774,130,044,081,885,743,142,
693,976,983,513,299,191,092,516,454,001,643,850,240,112,379,540,895,923,246,
382,768,094,436,582,577,675,305,577,878,759,952,599,001,780,294,083,627,422,
502,194,846,314,511,181,094,840,889,826,309,258,525,851,418,835,298,383,477,
523,492,076,676,323,140,233,314,171,935,982,070,315,606,457,252,150,821,975,
629,487,481,616,130,193,300,879,853,290,514,333,667,538,954,162,471,551,675,
439,845,894,894,922,670,258,094,610,645,078,761,363,105,338,423,520,100,366,
102,472,714,026,031,740,030,391,142,172,506,670,095,093,992,413,156,294,102,
563,544,972,203,630,318,982,484,691,125,325,066,054,939,265,146,110,210,734,
172,387,460,897,617,680,708,003,178,475,579,140,179,285,852,971,552,910,563,
123,813,817,838,525,465,585,288,413,841,675,169,643,719,582,279,740,452,244,
117,790,643,931,536,255,632,021,912,866,247,170,700,423,045,827,574,323,227,
486,782,421,439,395,983,759,563,095,975,000,637,779,790,159,551,374,326,975,
706,140,800,277,035,867,333,069,218,460,447,171,139,699,203,493,828,738,567,
485,777,199,688,152,212,649,155,422,268,192,076,006,686,061,091,232,740,639,
776,510,719,217,926,704,916,018,791,892,547,328,424,316,850,165,387,086,705,
678,832,984,477,516,333,200,424,675,679,150,162,815,638,902,939,311,419,746,
012,008,214,059,352,296,515,126,104,978,988,660,071,900,442,985,023,231,511,
674,672,859,885,048,021,954,424,202,024,219,723,171,399,390,892,701,024,143,
959,280,232,472,732,960,941,359,095,559,040,484,683,511,659,011,304,068,487,
356,315,450,377,591,925,927,562,511,987,024,939,507,248,569,170,778,277,090,
896,094,705,062,308,497,810,640,613,019,181,297,007,328,322,870,079,726,641,
190,982,947,081,341,161,859,492,910,047,544,030,587,872,813,793,118,842,849,
648,010,867,297,977,262,082,075,724,780,545,037,546,671,681,296,108,727,483,
921,285,471,664,149,184,598,404,816,822,557,673,304,851,158,873,644,765,315,
432,618,703,669,602,101,707,679,423,670,339,997,925,647,019,820,793,561,987,
154,470,639,656,042,421,307,183,142,128,363,724,622,232,573,319,855,451,084,
855,429,742,510,377,638,771,966,846,021,288,688,018,967,066,820,103,739,841,
259,020,382,587,752,521,587,354,564,424,499,104,575,441,670,408,895,466,193,
705,992,711,745,986,238,117,442,989,924,410,540,850,159,551,701,799,119,481,
088,427,431,673,888,787,622,752,233,315,351,997,047,433,907,047,221,664,260,
143,398,249,890,412,100,901,455,904,113,819,990,397,731,838,809,047,318,840,
662,589,015,982,569,538,654,257,204,872,862,444,492,807,125,670,752,319,466,
226,779,682,298,872,625,931,445,143,801,633,596,528,266,415,344,761,483,153,
016,141,409,716,606,429,625,168,314,041,153,366,847,674,789,856,142,388,006,
718,134,727,041,454,153,265,170,959,280,925,967,515,788,531,263,311,866,766,
372,552,958,789,391,355,718,904,386,528,297,517,663,694,964,969,559,092,441,
855,032,872,807,985,595,787,042,007,494,359,300,621,491,909,666,437,199,330,
464,611,328,293,182,640,430,074,358,725,119,573,717,380,328,410,783,341,414,
994,154,400,497,774,821,808,544,622,983,345,608,476,018,425,853,134,204,088,
538,688,800,343,086,565,930,580,999,135,857,509,814,138,306,207,196,498,847,
113,039,511,299,211,140,109,448,907,104,225,900,488,700,255,813,039,006,291,
771,326,874,988,761,805,515,398,668,086,677,408,007,241,777,134,470,346,937,
802,432,437,889,007,586,538,611,215,651,088,528,746,276,648,337,795,858,256,
520,407,651,329,501,644,922,054,420,461,160,069,570,368,752,660,615,066,099,
208,487,743,534,061,411,380,376,852,837,807,157,005,429,138,782,167,015,474,
971,828,342,853,239,834,184,200,570,094,817,122,959,973,438,588,833,286,134,
690,869,274,897,929,916,659,149,312,747,325,699,473,291,668,383,450,006,932,
773,442,141,256,001,614,010,502,952,368,015,039,585,205,950,859,224,612,452,
233,831,390,254,805,167,324,020,220,432,642,344,130,171,741,412,050,082,610,
776,486,660,561,148,305,541,216,771,772,341,228,857,841,717,187,088,764,485,
732,715,209,363,459,934,083,616,474,008,098,469,239,023,890,649,918,413,902,
752,908,577,500,696,184,529,770,403,082,936,756,211,220,298,385,545,478,122,
635,850,432,047,551,891,388,769,218,402,535,691,924,971,018,549,521,246,315,
093,044,775,096,963,737,566,762,992,504,525,616,051,980,176,537,171,734,929,
789,827,309,376,870,049,603,966,510,025,626,353,864,258,035,577,460,562,707,
966,046,988,631,745,050,868,341,223,485,104,528,396,640,713,609,092,971,856,
761,958,329,995,873,001,108,240,352,986,043,653,066,026,036,912,165,377,491,
319,590,203,662,823,383,251,176,315,830,874,524,517,350,631,393,106,688,199,
896,329,893,803,174,370,142,502,812,861,623,236,276,303,745,952,224,176,584,
341,118,509,161,263,435,571,979,554,851,162,691,842,805,014,975,857,527,176,
562,832,307,970,316,867,503,320,713,564,850,003,510,803,675,641,139,706,956,
688,444,837,074,688,285,613,466,464,219,304,166,765,538,447,675,972,621,611,
658,730,919,457,146,969,624,216,077,002,641,004,888,781,406,549,673,340,905,
704,753,008,109,550,847,464,856,730,563,651,707,308,696,312,962,820,620,536,
357,635,920,104,368,219,916,874,565,656,415,363,851,725,866,553,453,845,632,
869,055,310,718,044,627,538,773,495,377,147,214,554,672,889,543,321,058,639,
338,859,892,694,310,993,536,165,877,049,505,932,682,337,668,903,620,033,159,
666,061,587,219,730,197,366,645,448,960,958,558,793,983,808,625,640,631,442,
086,786,006,658,479,600,903,858,955,885,138,081,950,376,672,567,086,379,635,
570,393,444,081,035,392,040,605,309,901,787,826,991,872,665,301,121,483,644,
025,649,966,673,828,022,282,130,804,880,156,030,890,077,690,570,672,778,984,
906,243,846,135,161,406,220,040,653,258,508,081,512,897,164,016,561,549,974,
769,033,017,584,932,946,116,865,292,347,700,757,626,412,648,981,876,065,323,
562,507,667,343,407,711,750,365,094,844,872,574,453,950,403,636,597,534,253,
505,601,753,246,641,796,081,130,295,392,967,789,503,272,849,427,452,486,451,
216,570,354,542,253,879,853,570,342,305,259,019,710,473,451,391,686,185,601,
506,061,119,439,413,768,811,571,179,966,134,384,468,732,345,682,645,802,988,
160,394,352,782,447,220,414,286,308,562,668,868,879,865,705,189,516,025,732,
787,928,097,529,695,331,274,647,356,114,971,161,230,591,289,701,582,038,537,
207,131,721,723,217,975,012,556,202,384,607,298,880,589,734,339,308,555,126,
174,259,299,719,199,078,962,583,642,914,614,075,527,036,326,556,059,196,250,
144,407,700,445,566,614,047,923,475,565,127,448,054,310,982,625,934,995,411,
591,657,360,960,983,359,811,072,987,886,487,592,246,242,528,477,902,409,466,
414,986,856,518,776,658,140,066,895,197,254,743,845,389,903,490,504,446,394,
534,685,932,905,253,901,907,893,009,794,400,104,482,519,351,823,992,770,480,
186,159,013,513,391,459,112,944,086,282,642,880,784,497,808,813,797,089,731,
912,579,203,114,191,393,568,202,909,265,935,984,513,710,757,549,023,890,150,
027,849,602,882,785,379,724,410,597,234,512,867,023,253,310,829,248,102,360,
223,330,997,779,398,858,643,841,970,506,519,258,982,782,980,494,848,547,816,
382,768,431,419,523,433,256,524,130,868,324,905,095,636,324,949,694,536,160,
806,294,253,366,720,653,170,454,209,115,691,613,835,276,920,970,306,013,433,
681,154,464,601,795,528,741,470,868,664,678,998,936,279,844,128,751,247,037,
662,455,821,923,956,374,106,594,783,593,880,007,450,433,765,225,583,847,039,
087,661,838,010,630,326,144,985,581,690,790,419,920,397,289,459,463,997,836,
759,042,888,243,748,810,818,187,061,798,014,183,152,286,526,556,819,378,410,
015,072,180,951,231,807,052,020,829,429,604,004,934,672,498,191,493,538,196,
696,484,673,615,085,783,699,261,214,648,541,132,502,305,408,752,717,840,674,
390,315,975,437,030,027,783,118,790,610,699,217,849,452,301,064,763,089,344,
607,495,439,612,585,782,956,017,868,585,767,648,010,606,579,931,423,131,886,
283,752,899,580,188,090,493,001,453,679,382,367,255,943,101,301,021,595,391,
761,994,615,003,169,889,320,544,820,555,159,604,664,979,120,245,008,653,036,
372,059,939,156,491,135,989,110,271,559,257,560,715,312,532,248,534,391,200,
255,117,387,405,727,768,235,806,780,116,811,064,679,158,397,608,755,165,707,
559,072,666,621,868,703,558,725,909,784,637,520,952,408,619,214,804,696,860,
502,477,865,424,275,387,097,872,944,406,525,098,467,311,181,724,162,144,782,
248,550,400,524,463,577,934,630,255,253,679,966,645,638,318,896,819,317,725,
212,958,263,064,025,223,001,991,814,677,243,047,774,484,590,115,254,779,895,
473,942,083,337,968,602,320,946,615,306,582,885,450,462,479,661,290,879,250,
310,487,109,500,390,955,301,125,282,949,706,204,356,457,148,911,325,526,969,
035,431,399,619,241,445,250,124,975,640,436,638,496,097,352,004,266,623,781,
834,349,259,420,152,393,116,079,110,908,345,074,291,182,218,316,996,763,994,
892,433,541,653,446,847,629,073,660,495,764,186,038,003,839,413,338,153,790,
749,366,715,405,785,569,284,589,516,273,087,992,386,834,820,905,598,871,453,
372,061,539,691,615,134,768,967,498,178,669,116,425,412,529,562,727,668,984,
731,601,971,426,755,174,656,566,031,280,473,210,820,583,206,259,638,748,066,
596,170,883,761,959,021,960,946,069,167,676,939,345,550,588,004,297,045,120,
634,248,830,651,233,749,355,644,725,993,634,473,773,501,578,498,302,245,778,
418,351,635,384,212,240,490,325,308,859,530,514,341,247,772,381,229,567,849,
213,258,995,540,347,731,045,502,005,942,403,279,182,969,429,218,749,469,480,
510,890,361,165,118,151,085,014,962,034,824,802,931,547,880,204,054,281,546,
219,578,600,672,344,646,309,889,595,606,465,803,873,976,056,163,980,594,908,
700,513,633,345,908,131,405,863,026,158,623,508,004,207,315,469,113,447,583,
848,767,325,427,807,106,069,421,269,748,562,165,508,826,895,715,366,054,533,
313,535,058,392,829,654,457,870,998,903,960,374,421,871,977,691,496,762,563,
793,472,491,146,433,012,777,787,687,178,420,175,726,888,924,897,824,983,741,
007,802,709,003,182,720,301,179,465,548,488,963,433,151,291,198,304,471,015,
557,217,938,803,787,013,497,648,299,231,866,447,208,577,399,543,573,559,199,
578,548,692,241,510,362,122,279,582,012,926,935,456,498,237,417,697,687,104,
901,513,852,079,999,232,554,104,556,224,327,997,581,856,058,107,467,598,682,
670,816,687,304,054,249,937,860,463,396,908,928,534,684,488,334,071,246,312,
598,566,832,945,165,415,883,103,819,487,804,255,709,554,237,538,041,630,956,
194,926,500,161,819,194,431,889,626,081,030,192,219,284,727,222,902,005,093,
018,916,550,357,940,445,090,234,812,493,635,819,570,492,695,928,960,606,540,
556,204,051,442,535,403,337,156,688,751,469,518,018,288,823,659,551,506,875,
836,356,996,674,478,525,482,767,911,666,316,659,688,385,237,997,375,169,431,
460,505,107,997,401,746,146,939,881,323,609,750,222,671,432,425,901,953,165,
304,356,638,601,717,035,921,930,449,820,020,978,095,491,438,216,065,396,470,
092,547,576,753,407,149,665,572,980,519,196,014,889,284,369,710,830,033,856,
058,233,106,325,446,954,792,582,798,342,916,143,396,340,222,966,302,757,034,
435,833,846,467,501,994,000,237,720,001,100,819,577,758,208,265,045,501,742,
549,911,262,886,769,225,573,528,719,933,635,562,389,000,093,880,224,132,586,
272,089,086,960,454,918,863,401,365,445,576,283,368,891,335,961,865,483,435,
725,955,044,354,378,770,984,623,798,679,063,985,868,697,165,477,255,316,767,
844,613,039,874,188,289,743,849,112,291,519,226,455,146,030,854,826,096,800,
483,663,575,761,117,127,319,161,659,279,673,088,827,995,277,679,098,302,285,
199,852,666,392,049,286,452,307,566,343,637,433,983,172,496,929,554,167,459,
082,458,661,653,225,264,334,367,740,948,318,070,285,417,887,586,730,500,244,
851,780,605,340,004,774,364,298,078,630,590,892,107,601,524,640,760,736,079,
387,723,358,752,161,863,048,511,256,246,835,410,621,528,432,477,965,500,387,
784,733,431,044,159,339,931,774,737,258,719,657,282,981,385,687,677,463,231,
313,947,144,874,200,810,615,328,653,320,184,594,031,714,016,140,370,027,725,
268,230,313,975,433,453,658,014,844,567,537,737,364,143,780,541,098,429,992,
297,356,835,126,282,617,489,403,916,375,424,395,721,734,952,040,252,957,433,
969,753,800,347,273,119,700,135,001,130,981,605,000,442,438,377,943,596,885,
298,297,917,058,108,531,415,613,587,948,437,895,172,382,294,516,586,429,224,
629,849,854,391,295,990,192,289,644,284,567,865,390,277,509,398,382,229,447,
213,736,871,700,801,658,871,156,749,492,053,616,776,276,492,146,991,761,553,
339,311,312,280,374,548,888,418,830,532,701,393,562,141,394,279,898,546,407,
502,558,410,173,706,558,124,897,555,822,839,818,318,156,845,360,023,235,069,
416,350,907,782,447,679,308,317,807,135,995,427,647,684,981,195,225,333,839,
478,756,848,419,824,397,182,581,509,261,613,551,312,856,198,525,459,778,912,
179,064,913,885,930,058,157,036,339,787,190,500,309,061,663,708,729,325,881,
991,005,191,856,478,127,188,264,159,302,183,067,570,368,671,738,627,125,620,
244,233,417,926,667,552,439,222,200,160,294,680,487,954,155,621,690,151,474,
641,819,105,708,725,258,206,166,273,928,459,018,421,978,459,707,493,052,896,
826,126,150,233,751,824,212,414,047,529,725,582,972,063,904,165,152,676,767,
523,795,998,027,814,678,430,967,298,940,808,574,796,150,077,229,994,464,936,
226,886,608,646,990,102,803,880,329,297,484,885,832,604,380,785,741,750,239,
018,495,864,534,541,751,890,988,443,353,419,291,173,482,578,387,015,596,716,
449,179,460,479,230,893,906,668,736,704,871,938,725,696,940,023,048,418,897,
611,192,923,740,039,714,806,797,596,161,337,518,319,504,651,487,932,862,809,
006,993,058,733,473,609,213,258,160,613,870,259,315,222,473,825,229,405,704,
341,569,603,003,487,746,239,217,725,403,388,324,386,718,114,981,665,499,988,
041,642,785,494,768,186,094,982,496,517,186,353,045,161,006,189,799,979,199,
856,786,197,223,978,476,195,357,096,862,326,064,381,911,726,906,344,629,810,
747,628,647,647,867,601,714,642,284,381,453,672,652,193,492,538,414,572,626,
047,487,667,268,040,218,665,496,179,978,266,431,738,849,284,291,438,469,563,
660,331,865,139,300,461,228,973,610,617,847,190,546,230,593,944,240,129,428,
388,356,911,312,517,871,946,345,348,731,515,129,828,190,872,660,810,893,763,
307,391,365,365,578,646,048,188,375,435,969,394,910,747,352,296,044,751,566,
382,220,959,897,968,188,758,711,878,587,505,371,210,155,787,450,391,675,617,
616,857,636,939,676,198,400,650,113,289,789,882,054,743,741,876,757,276,354,
843,097,426,365,155,898,523,491,754,128,584,986,473,777,924,484,971,655,008,
945,681,602,923,563,570,017,047,851,821,233,133,009,591,530,486,671,393,983,
846,660,991,077,409,812,290,557,196,789,352,346,984,751,639,906,943,580,394,
714,088,588,288,981,596,126,996,217,967,207,237,940,137,343,732,067,741,193,
184,989,157,054,600,208,855,963,089,189,479,168,639,644,706,985,846,462,761,
415,665,343,691,799,511,944,844,849,336,593,425,924,735,308,915,260,768,931,
945,922,395,923,345,312,319,879,105,104,183,490,664,509,095,182,136,828,528,
054,706,428,934,930,746,654,230,502,674,076,397,479,712,398,191,384,790,659,
778,830,250,391,312,854,142,204,417,290,482,112,013,554,219,524,209,563,317,
665,908,904,004,075,751,078,186,656,118,757,079,707,327,782,794,998,941,469,
368,513,662,271,739,153,679,337,512,410,764,892,979,451,994,752,408,249,879,
061,601,834,709,456,303,986,839,246,106,098,010,842,281,312,505,615,074,830,
833,023,110,907,021,762,100,834,562,345,820,322,184,511,069,298,357,976,934,
748,978,263,936,404,914,701,140,586,318,784,550,389,437,812,874,292,037,444,
756,275,252,399,228,741,269,737,546,982,767,528,075,512,247,798,084,076,059,
851,892,799,417,090,663,975,858,654,872,417,900,060,630,145,940,782,882,221,
610,432,573,734,942,196,219,919,856,536,983,243,058,291,667,118,407,770,599,
604,711,496,930,106,146,228,899,201,459,643,224,345,681,258,450,130,481,823,
399,171,281,171,669,148,047,915,163,666,653,672,109,898,697,076,890,880,762,
083,650,685,024,162,896,922,541,715,937,939,783,748,601,516,928,174,909,290,
100,439,017,538,333,163,664,410,434,186,499,378,093,437,902,988,582,830,670,
832,444,857,050,415,285,967,368,656,523,972,005,642,602,223,287,010,927,296,
268,798,175,982,450,748,748,878,995,859,413,928,820,789,749,025,409,887,764,
701,740,511,993,329,921,522,061,655,596,046,145,214,168,060,977,398,341,839,
431,715,377,279,742,380,438,938,904,900,049,286,903,706,036,136,457,747,373,
900,833,615,646,800,789,262,894,219,765,486,639,053,734,397,618,542,334,430,
959,318,620,616,454,426,460,954,644,803,710,405,694,782,530,916,434,870,312,
074,210,234,032,251,411,603,367,219,649,846,046,161,645,260,452,442,495,666,
519,608,712,214,139,180,409,227,228,367,979,518,712,714,602,903,230,598,819,
932,475,067,426,717,756,874,238,476,065,631,255,400,799,553,746,720,529,552,
903,270,681,711,774,679,384,656,615,572,779,181,295,486,950,399,054,715,299,
671,777,443,422,890,911,576,989,454,149,930,123,497,622,244,923,573,870,599,
892,836,605,542,937,711,366,474,086,262,860,717,414,182,980,850,712,912,839,
315,371,878,245,518,795,175,604,505,501,119,390,789,155,300,881,608,485,249,
012,504,645,270,874,309,682,739,434,538,331,316,157,262,467,916,083,282,166,
439,024,150,102,322,997,798,088,407,060,978,080,456,282,733,134,214,271,677,
831,280,404,034,956,620,940,511,030,419,428,874,360,930,052,052,906,193,746,
690,152,773,586,998,904,852,932,204,225,032,047,303,007,418,860,699,342,076,
167,407,898,674,948,910,083,446,308,089,662,086,855,643,363,047,199,140,160,
433,373,155,081,837,295,552,745,777,272,979,073,359,126,376,204,488,023,938,
992,069,266,992,145,160,687,082,627,624,351,540,150,471,926,228,741,411,093,
537,460,902,125,867,343,749,493,061,076,388,380,713,989,839,563,437,864,166,
943,345,586,944,519,310,294,565,187,580,656,736,144,001,648,640,239,736,916,
405,591,452,546,384,299,081,113,380,270,599,040,411,472,596,881,597,472,342,
121,297,421,379,096,462,257,254,202,670,957,295,827,069,234,755,846,701,823,
729,733,408,100,383,884,016,126,408,381,237,430,396,608,703,301,765,628,283,
583,063,242,913,064,534,770,996,999,693,382,214,573,593,713,760,734,646,968,
396,612,510,710,101,016,806,648,022,812,280,042,132,706,115,990,851,861,696,
403,094,445,081,089,153,649,499,987,562,909,266,813,366,915,156,126,978,526,
868,647,799,917,323,267,453,517,083,455,185,426,846,523,669,538,846,420,841,
454,055,690,681,882,998,553,557,292,391,458,180,104,053,985,868,486,788,113,
563,624,524,328,163,380,463,239,315,236,812,133,399,334,008,379,542,025,314,
609,559,693,094,776,301,465,659,938,184,982,343,474,430,873,685,112,761,307,
856,998,186,221,713,149,167,498,274,371,115,956,000,387,970,320,078,162,919,
085,575,831,433,985,981,858,875,093,666,356,324,658,429,525,530,062,413,145,
683,668,226,148,507,265,793,895,414,275,289,978,604,014,421,066,106,992,880,
626,737,910,147,531,632,488,082,660,240,779,236,103,900,067,046,763,449,570,
398,099,722,259,728,088,665,867,008,894,178,565,377,835,534,163,323,061,522,
130,118,258,162,185,089,778,989,394,086,393,274,925,918,591,947,685,854,772,
824,780,415,449,376,197,967,744,418,356,235,035,542,293,699,970,763,022,135,
992,843,921,085,528,312,443,019,375,534,920,670,379,990,173,879,655,372,334,
932,590,469,879,563,007,075,167,907,876,884,559,514,691,034,342,065,740,872,
041,474,838,564,047,647,425,851,764,495,917,743,376,812,362,476,188,867,878,
393,763,213,125,937,553,797,802,467,564,853,216,067,696,101,117,579,797,671,
394,002,534,859,544,564,114,068,627,779,653,854,992,190,560,216,395,712,856,
382,734,934,293,219,297,361,061,393,141,797,415,371,856,658,934,698,877,656,
476,648,153,344,907,918,003,670,076,017,551,915,403,443,877,556,533,528,077,
030,702,129,223,951,643,613,870,075,092,404,137,419,693,212,928,850,252,226,
921,899,052,081,174,104,800,974,464,823,455,564,776,049,701,121,083,742,234,
521,940,966,326,119,208,308,572,497,476,111,601,633,468,458,327,631,008,420,
721,079,610,869,855,815,458,611,685,932,209,862,517,928,474,234,890,953,409,
668,622,904,951,483,778,925,116,630,774,626,637,225,853,072,666,862,251,007,
735,812,946,887,717,791,755,284,364,231,073,547,242,601,696,441,343,749,314,
110,417,971,743,241,818,704,001,295,432,407,972,301,888,845,152,300,114,124,
109,886,906,258,196,885,572,536,909,891,665,035,124,095,911,196,265,925,977,
784,130,737,999,711,248,900,953,202,398,281,655,798,388,083,732,120,854,077,
808,566,099,214,188,844,898,083,953,077,826,675,728,636,594,153,540,829,956,
927,800,024,337,315,083,704,218,860,462,516,516,887,830,822,895,795,764,365,
747,589,398,263,448,890,454,997,582,227,519,888,126,333,671,696,029,528,275,
723,330,845,811,091,894,685,660,630,180,023,390,706,613,938,778,873,900,648,
147,012,816,673,616,763,118,514,771,679,355,407,003,224,313,324,878,514,707,
548,299,997,155,629,883,987,306,374,569,168,846,793,167,127,988,932,017,801,
370,905,598,199,348,735,848,368,735,799,294,017,764,039,816,282,813,812,887,
959,681,617,200,262,764,724,951,646,135,730,097,854,759,721,448,870,013,607,
269,245,696,574,171,155,652,287,906,516,246,073,725,393,728,131,638,062,726,
523,293,650,153,739,345,261,303,938,012,254,884,921,934,996,889,950,822,510,
813,846,397,108,374,248,518,723,580,183,608,382,427,107,665,670,632,031,286,
387,730,783,418,728,971,101,759,304,995,352,445,681,206,411,359,856,078,552,
519,085,520,017,526,256,568,367,272,820,270,279,870,535,021,118,676,954,192,
992,960,620,552,879,160,216,497,078,362,860,560,595,065,291,132,353,836,633,
013,842,886,318,849,891,094,671,104,372,211,488,039,921,013,714,128,844,364,
424,713,519,459,194,385,564,214,663,887,116,593,353,604,848,832,108,221,674,
335,203,647,615,302,180,454,053,606,755,754,625,863,694,934,686,633,054,219,
410,694,566,647,174,365,089,458,949,480,148,207,189,375,250,442,254,141,155,
861,905,527,332,583,415,455,201,727,226,664,935,166,344,867,869,880,009,932,
029,662,334,490,961,604,254,961,464,307,170,396,810,139,834,634,753,923,958,
779,295,554,690,375,513,175,464,636,711,661,824,637,443,117,282,978,281,287,
623,377,916,174,381,970,230,659,661,845,978,149,912,480,440,548,684,671,562,
948,028,180,244,705,387,623,108,368,590,987,093,311,243,378,684,408,303,475,
755,699,717,437,599,820,437,699,909,092,109,176,604,565,532,443,922,303,677,
869,828,009,298,680,570,412,761,463,070,623,172,924,782,906,811,108,093,352,
469,110,247,720,499,476,202,713,025,675,313,802,398,276,386,058,738,957,990,
021,814,106,767,307,992,707,477,185,193,113,833,083,809,634,163,485,045,786,
885,667,161,085,542,716,224,914,524,373,097,976,431,885,248,353,243,021,401,
858,055,162,948,927,188,932,259,485,348,753,455,389,825,572,195,596,423,189,
335,009,907,015,918,038,797,853,951,193,687,093,230,335,094,098,589,318,148,
356,758,183,859,751,749,099,251,749,239,655,607,690,337,677,105,115,037,110,
387,696,945,308,031,557,604,805,371,224,539,237,898,661,176,605,384,111,479,
118,268,331,761,382,505,660,703,280,403,398,575,803,461,123,244,610,555,848,
919,774,449,163,266,105,802,580,770,094,684,434,366,227,103,270,090,265,172,
269,209,911,518,757,318,982,336,551,411,676,216,414,045,981,098,302,320,648,
858,439,310,628,193,502,962,582,514,391,651,556,800,527,583,963,049,879,004,
063,509,271,250,772,091,140,818,244,408,906,052,129,831,817,266,919,566,078,
733,221,159,234,443,572,421,013,720,410,370,119,307,853,770,825,480,317,396,
270,676,563,494,490,693,502,654,669,135,793,692,953,302,231,797,054,018,637,
537,339,610,869,666,963,972,638,040,248,696,982,829,742,721,322,936,432,781,
623,680,035,000,328,008,058,874,604,755,748,258,032,453,048,398,952,748,998,
244,465,563,414,529,208,819,626,938,696,739,389,009,242,661,780,915,267,291,
740,697,331,194,220,673,794,439,159,494,766,153,133,232,860,955,002,920,731,
311,076,673,370,772,274,238,826,329,962,655,953,739,848,868,627,800,920,278,
985,222,850,707,998,656,664,087,664,766,408,133,420,395,359,101,745,865,872,
894,523,059,761,960,773,980,870,737,393,839,720,635,050,683,151,014,397,098,
943,922,890,298,669,488,523,003,163,728,251,367,979,215,183,109,823,832,763,
276,157,200,721,052,416,192,656,869,098,122,097,873,864,800,736,909,038,277,
496,372,423,365,984,089,506,725,211,261,873,355,508,017,052,197,462,849,824,
798,702,221,024,308,512,969,210,105,397,434,437,311,824,349,485,084,142,971,
449,240,109,242,928,404,697,365,543,238,622,408,430,401,957,055,930,783,438,
681,553,661,451,299,507,704,155,209,244,518,396,143,085,908,647,648,791,259,
638,564,775,134,323,629,831,221,075,326,676,315,725,692,202,914,284,031,252,
221,942,347,579,005,249,270,873,490,921,037,966,204,174,847,603,428,576,703,
235,723,036,135,122,378,921,233,542,488,526,376,279,464,780,502,192,427,338,
201,403,154,658,934,765,447,139,739,395,019,890,368,197,513,190,765,583,574,
383,546,187,733,319,816,891,408,494,672,824,930,668,571,911,526,736,188,439,
348,170,012,189,707,615,361,053,189,799,179,125,646,305,969,158,420,131,358,
439,952,747,131,905,600,541,713,016,413,694,435,680,359,248,785,578,113,961,
457,493,336,498,158,632,090,046,150,585,944,918,629,668,832,730,584,671,933,
646,863,237,623,003,312,847,627,966,317,087,417,067,538,777,419,004,131,406,
298,460,518,230,717,819,748,996,153,058,155,745,857,501,931,601,970,895,490,
844,958,199,423,525,704,284,627,428,748,378,076,617,763,755,933,879,186,126,
995,633,913,152,843,755,170,000,523,622,207,976,651,393,402,241,824,903,217,
650,971,319,727,817,070,545,710,406,432,276,577,691,002,715,977,083,119,670,
230,030,918,743,562,285,998,785,905,625,427,056,016,842,037,586,566,908,195,
877,366,204,502,614,409,360,974,906,963,406,558,944,371,090,279,166,761,986,
755,479,211,734,266,634,982,852,372,690,891,357,965,966,191,095,327,328,372,
132,626,641,542,050,123,425,410,430,151,882,017,302,608,568,867,007,025,234,
182,536,204,093,600,404,061,352,370,943,377,374,286,024,021,705,041,882,411,
171,984,337,968,303,044,902,512,914,879,323,611,197,583,150,768,940,733,648,
311,261,059,506,752,768,997,510,925,344,354,566,722,482,141,685,324,070,352,
260,834,867,938,717,763,342,150,483,884,572,012,799,241,018,866,799,288,546,
413,471,564,128,987,119,672,122,389,368,390,531,175,944,185,861,935,641,547,
365,297,818,536,272,562,487,581,078,419,110,723,619,541,131,439,015,480,263,
223,345,310,047,009,879,310,438,954,759,557,733,231,006,472,194,025,273,386,
649,167,814,635,325,608,052,087,373,113,040,579,655,447,730,434,417,148,350,
930,808,528,176,239,688,711,481,618,229,727,460,016,125,830,039,083,552,254,
841,963,066,213,039,656,353,764,776,626,335,777,217,084,315,624,581,834,056,
352,997,742,890,843,098,768,544,135,118,981,201,172,279,347,766,463,958,182,
927,846,687,103,861,245,215,817,885,974,315,731,226,690,323,496,293,018,014,
905,444,417,376,053,533,030,122,011,853,813,494,498,788,712,456,172,374,436,
522,628,701,074,043,372,918,368,053,131,349,024,748,863,620,531,487,285,334,
531,069,172,581,062,987,460,172,373,728,660,643,401,654,162,948,345,310,154,
771,572,529,686,956,358,219,797,372,291,422,113,572,010,751,081,841,817,928,
244,091,236,522,440,826,522,616,858,392,268,581,815,930,048,716,079,722,537,
387,537,900,742,401,117,593,119,004,580,212,898,193,147,243,934,187,166,691,
852,635,213,860,623,358,975,441,189,779,371,529,512,901,327,462,388,259,437,
289,483,834,306,037,737,621,521,637,504,603,764,853,498,776,053,631,656,235,
214,459,402,206,727,390,963,866,144,595,718,580,948,508,887,518,131,994,385,
340,536,088,038,757,542,262,860,874,014,597,275,777,787,908,395,116,522,632,
071,664,850,768,665,718,606,059,200,642,217,903,632,069,786,270,401,802,539,
031,020,584,102,154,021,692,101,192,815,671,652,967,725,836,460,040,528,348,
719,822,458,924,593,699,063,310,689,649,337,807,291,879,773,227,622,573,838,
852,166,030,890,137,845,814,626,917,231,866,972,115,179,815,315,385,467,648,
131,439,421,758,724,583,542,358,229,986,766,094,275,994,452,321,909,713,239,
501,085,023,581,261,392,677,821,624,536,685,426,616,571,615,445,444,014,441,
472,792,033,811,090,792,181,474,747,210,045,119,913,276,552,888,021,783,665,
416,933,098,931,965,482,261,377,700,901,277,320,924,543,476,171,079,084,056,
775,208,435,227,100,416,519,295,584,719,645,990,408,711,100,638,712,421,415,
376,177,287,580,863,057,185,797,856,493,817,147,490,115,600,785,401,876,146,
228,929,380,366,861,716,207,390,664,060,983,869,379,344,599,295,661,521,428,
179,740,580,139,662,209,956,083,453,941,366,312,863,870,528,818,973,647,487,
302,626,035,999,812,473,976,271,714,646,545,542,326,317,507,594,169,603,129,
307,974,195,004,763,192,267,576,948,259,071,949,354,660,071,249,803,415,361,
009,669,579,530,308,444,993,916,671,919,281,834,919,300,252,730,666,080,558,
519,369,334,037,720,717,428,710,886,235,629,147,085,587,782,755,522,500,822,
365,081,804,091,921,422,766,152,457,618,652,799,340,557,346,791,566,643,167,
031,615,945,210,880,126,772,364,627,720,412,873,503,182,382,993,312,728,658,
849,584,943,953,919,260,902,195,953,928,514,727,507,505,460,815,942,021,971,
862,016,901,049,067,249,298,801,757,141,017,441,032,420,801,100,157,931,453,
387,434,649,391,220,557,441,903,496,656,500,179,783,098,790,291,881,425,361,
618,461,762,130,286,501,141,945,218,595,679,106,472,386,835,723,044,007,316,
817,936,669,094,312,360,470,398,778,937,280,985,024,229,751,398,153,668,250,
009,140,795,534,305,150,522,663,830,456,876,758,015,948,416,919,297,594,714,
359,974,545,962,003,768,041,771,308,592,982,494,251,973,132,674,093,699,116,
518,700,043,456,244,764,742,132,388,788,010,657,343,071,198,890,158,926,166,
924,631,236,967,598,631,073,587,244,289,163,831,123,725,513,322,171,818,061,
717,472,204,589,292,919,196,104,707,867,440,329,002,198,837,026,940,650,010,
095,033,219,339,987,091,105,308,874,074,168,048,313,439,693,415,725,030,139,
469,893,707,005,196,001,980,383,448,266,892,112,236,494,745,625,518,594,802,
341,785,201,889,311,653,985,569,878,100,981,955,020,104,250,346,714,094,289,
512,702,483,082,195,547,160,313,371,377,913,384,664,842,996,968,657,767,586,
913,347,225,477,656,272,422,913,759,864,220,130,678,502,560,766,559,024,971,
912,897,922,361,062,480,853,113,152,214,454,041,502,634,419,306,374,789,398,
430,713,340,719,424,002,993,103,422,857,945,367,298,893,573,476,951,315,311,
443,177,562,288,999,715,595,884,613,162,069,692,281,770,488,559,036,028,291,
032,326,203,729,063,766,171,234,469,851,178,742,407,810,490,577,416,099,562,
927,823,720,864,672,849,569,094,971,908,088,266,686,228,817,583,502,961,043,
483,895,921,386,104,301,672,419,017,426,731,507,823,652,473,983,074,428,664,
019,621,253,372,005,679,278,898,446,133,574,632,139,574,630,158,124,931,584,
050,866,481,011,582,529,280,020,351,618,204,386,243,135,396,226,257,111,239,
185,016,181,380,600,605,872,267,697,831,830,425,137,828,437,508,148,618,481,
857,708,488,355,755,527,094,969,877,237,152,693,799,128,672,688,324,361,691,
058,479,656,212,773,559,871,607,679,969,628,391,535,574,890,378,014,007,649,
406,091,217,437,337,968,437,192,649,378,629,880,991,012,348,541,926,538,496,
738,157,639,897,761,094,510,251,961,274,589,562,539,564,953,545,582,548,973,
427,618,820,422,688,815,343,023,007,482,971,033,843,032,028,542,077,374,267,
777,740,630,258,907,383,964,072,354,259,561,561,165,900,475,375,243,236,754,
654,725,740,759,255,568,049,806,437,653,417,779,560,228,365,239,695,103,195,
932,012,869,685,318,388,499,937,218,900,013,644,264,182,516,883,063,887,086,
228,422,921,031,634,752,906,687,350,541,531,230,412,466,804,332,101,702,944,
185,331,242,038,404,622,008,256,276,769,104,232,663,094,778,350,070,515,065,
226,747,814,173,847,609,861,680,628,155,330,800,414,779,030,379,403,673,446,
378,278,793,077,929,577,460,852,477,341,680,312,253,788,318,962,457,746,281,
751,656,998,395,357,498,021,099,592,966,757,814,141,819,054,826,978,795,227,
670,439,189,483,902,334,595,126,680,597,309,804,909,950,970,749,865,155,396,
453,251,714,988,207,584,075,623,342,634,721,144,629,392,948,015,529,604,826,
996,473,660,899,995,361,653,936,706,824,828,165,795,034,811,334,721,946,095,
323,843,411,232,690,462,357,828,116,236,305,594,452,544,786,146,165,385,226,
968,916,090,959,403,342,289,919,645,123,234,379,987,254,421,899,915,609,535,
639,447,422,323,856,033,811,738,292,656,191,195,537,636,893,325,472,983,842,
682,933,091,737,860,804,441,383,055,447,284,135,621,793,672,564,582,113,598,
937,215,952,522,999,775,965,140,782,019,093,280,532,211,981,493,884,807,887,
263,038,067,139,954,127,299,035,151,074,107,634,768,520,430,993,415,969,703,
150,390,268,587,511,009,149,716,738,689,822,181,691,859,045,230,313,468,287,
951,677,406,035,740,686,755,870,138,524,350,005,834,425,080,352,290,199,812,
670,814,995,805,322,951,441,197,509,275,876,279,366,221,815,924,351,912,473,
542,340,940,639,752,701,992,447,253,752,581,028,490,627,925,295,325,648,532,
127,987,865,729,837,850,295,387,327,952,093,805,961,000,347,802,846,047,119,
314,302,178,340,062,239,568,478,328,580,792,280,453,189,225,098,982,755,955,
488,143,661,922,116,618,016,213,757,190,552,494,943,555,819,744,754,412,583,
286,566,528,067,556,023,228,024,074,585,953,201,752,795,166,392,722,888,880,
196,309,428,207,739,605,233,135,414,726,229,776,261,135,271,546,645,718,641,
061,390,257,509,312,520,914,048,749,898,432,690,487,529,116,848,834,109,228,
179,304,113,047,183,044,749,276,306,559,345,432,066,117,047,987,089,272,867,
165,144,611,811,260,442,798,338,968,378,315,247,394,104,952,187,512,719,228,
104,655,553,319,712,203,772,941,766,539,063,504,306,963,767,008,417,534,589,
899,809,052,937,253,276,093,854,444,236,566,806,976,583,828,674,745,451,643,
851,180,522,493,227,050,093,163,594,809,958,263,572,676,247,375,110,059,749,
177,311,627,858,211,931,775,396,647,744,002,450,562,813,049,484,364,134,487,
961,708,200,654,479,131,377,951,270,418,424,509,778,612,150,998,769,582,326,
208,626,779,813,429,652,856,049,739,768,505,134,718,188,202,542,500,370,591,
737,856,284,632,447,032,858,261,438,617,716,877,660,512,059,798,015,556,659,
402,969,656,290,231,175,518,229,065,903,354,840,017,173,262,635,640,788,701,
464,083,872,271,631,064,165,556,749,076,893,266,631,133,337,693,505,109,192,
921,143,904,052,981,279,070,763,960,725,533,089,431,577,269,490,998,265,605,
282,579,580,452,702,914,339,472,969,804,148,681,714,561,282,353,462,356,620,
738,096,102,812,920,321,323,491,475,247,241,378,982,644,049,166,610,269,294,
924,879,691,461,766,708,138,364,899,354,003,103,376,445,558,881,786,571,103,
559,847,491,063,159,018,097,631,619,705,812,314,720,510,169,985,215,523,874,
564,243,771,553,465,251,436,632,301,684,834,127,790,944,858,453,910,174,240,
640,822,974,596,600,291,042,767,791,375,516,650,729,028,447,323,507,183,006,
990,806,300,269,306,649,251,282,182,629,241,032,979,570,417,842,720,875,958,
299,046,709,342,902,758,270,155,392,814,277,265,613,657,762,524,727,731,955,
662,485,907,142,777,038,433,543,258,372,298,077,289,476,354,056,619,409,086,
192,023,708,454,205,654,658,698,751,288,962,791,587,048,561,774,530,816,448,
042,811,231,732,594,173,832,158,220,166,870,264,652,307,466,816,337,093,494,
446,433,982,798,638,541,351,350,686,574,083,875,827,389,432,772,812,501,312,
643,506,552,118,173,305,298,972,265,670,120,387,107,528,877,613,946,258,579,
065,925,704,663,545,788,754,370,859,325,265,974,043,825,308,631,005,712,638,
132,527,577,358,701,127,033,599,973,733,645,029,260,726,365,264,542,521,281,
104,077,527,479,821,235,748,588,345,162,416,699,102,330,593,973,488,273,308,
488,810,597,620,494,292,046,362,594,037,316,583,532,772,429,684,459,679,552,
951,357,915,164,937,455,176,928,385,010,134,203,465,789,880,647,628,742,993,
312,938,054,616,597,569,302,554,109,961,713,217,487,925,351,927,037,164,277,
192,069,307,221,969,765,088,084,112,045,369,025,432,878,402,608,344,607,008,
315,400,765,114,139,050,348,632,159,798,492,934,962,493,085,082,203,137,018,
878,200,006,035,076,079,958,618,469,094,751,475,163,485,129,652,229,223,483,
795,312,607,778,964,051,590,873,287,451,389,006,387,005,839,378,782,343,122,
740,682,003,410,739,569,911,205,945,406,540,499,007,516,329,572,188,057,966,
783,892,568,894,744,731,524,249,206,275,247,529,702,966,428,998,428,720,504,
949,261,647,165,960,916,721,810,619,255,905,827,321,862,827,129,740,888,991,
464,008,420,995,973,079,767,854,363,019,751,123,647,754,323,992,415,220,605,
344,211,945,146,141,690,788,540,730,878,654,419,991,475,205,488,766,059,424,
688,026,691,332,619,863,461,755,711,118,021,386,126,084,755,955,016,034,970,
609,908,225,451,283,494,980,263,173,059,537,389,089,652,974,555,861,942,113,
795,973,790,090,826,598,469,606,130,153,555,695,332,477,391,158,583,097,787,
795,327,852,789,757,015,408,201,164,883,783,677,292,761,687,040,682,809,691,
219,414,592,128,342,299,415,987,505,114,126,756,665,625,056,837,152,634,678,
667,761,141,953,715,737,809,745,461,903,390,053,534,199,495,812,534,670,447,
648,631,292,344,555,641,038,197,633,580,240,267,829,548,264,584,608,290,006,
103,694,126,139,249,870,957,935,522,642,117,987,057,282,195,536,292,248,177,
272,882,236,774,553,647,332,825,413,692,615,085,083,850,081,736,545,388,301,
442,400,860,242,676,233,479,236,869,789,172,882,989,211,991,629,642,717,668,
241,333,994,135,864,680,416,856,814,364,535,007,148,070,702,144,419,077,080,
201,795,446,301,887,999,660,747,243,947,317,998,585,373,290,116,225,723,167,
980,994,430,565,542,675,016,696,787,950,658,448,172,908,833,755,793,086,235,
470,924,186,998,561,502,325,699,110,694,098,904,193,867,023,419,204,214,151,
706,439,267,986,574,005,644,789,690,061,541,870,905,953,645,340,208,034,552,
839,549,762,475,658,961,829,716,150,929,274,728,706,385,148,121,267,812,826,
343,236,172,848,997,560,828,197,852,945,224,133,189,082,447,201,545,078,904,
350,374,760,424,410,900,819,681,997,042,120,516,313,619,324,071,599,829,966,
071,686,232,676,544,720,148,841,424,149,522,997,174,671,331,317,392,508,464,
833,489,536,925,768,218,155,149,209,213,485,441,048,565,323,323,602,876,955,
367,415,324,182,577,312,931,532,455,642,218,689,064,820,478,767,281,696,940,
072,012,361,631,022,039,185,821,964,153,434,803,809,187,188,795,717,184,909,
161,603,337,695,064,494,128,718,229,211,256,264,262,926,399,063,076,999,062,
700,408,633,256,576,662,224,049,031,927,812,719,306,839,892,917,380,339,425,
622,736,698,495,507,510,950,805,451,834,062,309,323,896,257,220,178,685,083,
958,297,057,630,603,928,914,181,504,892,577,330,135,765,384,718,121,036,216,
307,985,885,330,147,117,913,483,892,323,298,740,249,096,464,211,291,103,946,
289,261,943,074,839,746,106,131,924,055,112,141,212,253,646,727,383,791,025,
172,996,463,185,574,124,042,488,630,209,288,479,911,213,174,940,147,917,394,
635,798,765,517,931,275,162,326,304,000,798,793,353,288,404,624,275,585,657,
402,118,476,815,738,651,261,547,508,276,432,393,861,548,763,089,994,863,497,
178,391,212,781,181,369,920,164,504,321,789,798,728,044,209,861,928,680,666,
557,776,062,518,106,681,002,137,200,852,296,696,157,475,580,374,991,004,726,
048,669,029,292,945,114,392,570,321,468,659,097,326,256,109,581,244,336,815,
838,478,873,022,332,424,359,785,197,809,853,760,635,504,950,752,714,089,928,
350,886,546,410,834,301,775,668,968,134,189,684,132,819,898,981,383,927,876,
477,183,782,754,538,764,318,463,284,810,541,624,094,198,077,561,205,594,647,
667,657,873,997,911,095,214,946,346,557,549,791,380,899,474,971,650,925,738,
334,462,916,484,457,553,208,794,460,184,942,490,055,193,368,777,301,425,594,
685,663,224,703,121,844,288,492,848,176,991,953,160,127,376,026,326,237,856,
977,729,450,234,460,266,973,616,593,342,985,138,705,893,706,333,641,068,287,
713,336,569,255,652,421,733,493,082,011,718,191,150,294,434,146,006,718,504,
964,287,570,079,124,691,054,922,177,540,878,464,720,459,454,744,358,030,656,
237,590,749,420,880,682,675,055,272,563,796,995,187,697,407,533,066,721,697,
543,513,912,372,959,217,879,084,121,190,028,619,167,381,308,503,507,159,037,
758,032,417,843,002,484,746,479,181,291,702,224,273,761,377,462,735,748,054,
512,547,140,098,015,226,556,891,259,930,187,807,801,519,012,184,447,076,095,
367,181,823,357,486,351,356,755,464,266,084,277,599,165,846,419,463,057,552,
054,072,048,671,290,238,041,358,792,885,158,950,914,802,982,250,067,694,346,
346,754,021,538,265,248,951,080,774,687,838,653,336,295,037,992,163,962,447,
995,131,830,690,770,860,368,395,061,912,741,964,157,903,723,434,926,565,900,
650,287,589,170,959,828,426,084,796,217,609,828,025,348,389,025,647,286,849,
176,839,444,944,878,217,591,898,833,875,907,938,408,345,310,887,656,802,053,
259,150,896,624,419,292,585,820,914,195,372,439,019,780,231,597,070,904,135,
945,757,873,266,696,890,170,986,061,191,800,600,156,622,795,089,268,903,090,
295,666,857,635,352,644,905,929,096,808,852,218,917,904,038,950,781,539,099,
780,282,800,196,398,323,316,539,044,432,070,639,061,921,303,106,798,621,436,
383,228,232,663,865,849,740,187,280,321,490,521,121,292,161,761,989,804,495,
080,574,865,128,710,569,015,178,850,395,235,961,060,625,012,278,237,051,708,
912,055,267,322,439,859,657,502,903,668,773,939,509,810,773,228,801,023,225,
533,161,417,043,765,131,213,906,092,791,878,475,655,001,983,497,169,615,414,
543,940,742,779,666,525,385,565,603,580,550,833,901,829,227,208,005,976,045,
062,163,930,994,954,635,774,726,355,092,100,355,804,035,023,323,338,949,635,
978,607,975,069,828,041,740,578,643,460,985,813,537,431,289,050,166,083,229,
253,191,839,225,983,922,130,187,253,037,597,518,875,808,056,776,327,293,744,
495,680,094,439,686,158,318,333,361,852,115,866,265,813,624,656,767,754,499,
139,537,276,036,205,405,960,095,356,311,483,547,297,241,103,011,804,604,469,
230,166,017,839,836,275,980,607,406,292,596,328,402,330,147,043,281,056,452,
390,223,009,124,057,073,898,726,841,309,172,777,053,906,255,505,402,743,359,
355,802,661,667,485,953,695,377,989,194,496,041,362,688,912,728,049,552,015,
238,784,268,599,269,798,544,324,558,413,904,743,858,709,966,317,557,059,138,
952,843,993,982,219,399,214,704,929,123,053,020,330,267,821,925,824,150,952,
048,805,698,492,122,261,673,043,004,336,055,932,246,734,549,411,601,175,598,
868,444,154,326,518,466,490,773,623,058,461,473,932,387,695,887,589,109,018,
107,750,375,489,042,910,425,133,274,719,905,667,953,601,068,003,303,501,990,
516,979,510,501,154,881,185,132,271,218,935,296,504,058,305,591,818,976,032,
247,746,887,733,503,342,307,079,939,377,356,599,658,262,285,520,733,179,806,
838,092,371,122,435,882,546,752,506,618,207,066,367,192,333,356,273,821,897,
228,481,944,937,608,212,653,895,118,634,868,238,447,457,429,974,729,921,248,
128,450,853,016,194,176,341,914,963,554,925,295,347,692,883,490,857,178,814,
209,396,096,307,700,498,214,157,273,810,774,187,061,090,513,768,409,375,077,
885,438,309,172,893,791,204,724,205,684,786,728,849,090,954,810,436,543,464,
009,302,015,182,328,745,320,851,072,073,833,982,004,326,550,325,514,576,789,
945,602,125,755,760,125,139,651,692,349,230,214,253,065,893,830,269,442,793,
549,210,905,967,039,334,571,260,166,393,575,699,627,484,244,614,102,114,095,
809,022,939,118,621,381,616,389,938,735,980,814,026,052,808,980,113,127,629,
601,093,732,810,090,785,391,479,542,451,706,845,505,168,327,547,917,599,145,
994,000,690,967,176,457,511,638,362,971,339,162,294,947,037,448,483,608,999,
040,695,063,561,856,190,113,632,105,073,683,920,807,186,601,772,785,904,491,
138,840,478,928,114,825,053,103,226,220,248,700,142,796,756,720,126,258,760,
150,840,097,623,219,457,517,975,550,985,941,642,727,410,938,253,180,037,631,
791,563,501,981,974,213,329,746,141,391,023,529,912,102,112,580,630,850,338,
360,015,372,706,216,067,588,100,020,740,856,305,681,522,420,344,897,299,883,
751,045,064,954,054,786,983,264,120,378,236,794,137,205,009,258,222,860,944,
407,757,721,720,403,096,570,813,759,748,788,376,247,365,020,739,380,419,449,
994,703,643,731,809,774,207,919,847,905,352,981,857,096,213,455,862,282,229,
758,282,655,563,341,181,733,807,878,519,239,512,671,889,607,773,790,046,372,
487,048,799,589,430,432,595,263,703,747,963,597,443,178,688,337,196,219,745,
640,008,373,086,786,760,731,176,208,364,858,605,416,019,343,165,262,497,142,
571,872,317,092,226,704,013,110,357,970,708,765,816,163,921,844,541,838,501,
340,740,039,140,565,759,082,704,253,916,982,019,951,302,812,364,740,154,575,
733,990,367,424,047,197,250,168,247,172,243,592,326,924,667,629,659,972,767,
038,994,216,808,542,112,668,414,080,909,929,739,534,738,629,513,139,683,008,
292,291,094,563,620,069,117,227,666,921,900,602,406,202,307,554,979,906,808,
371,768,289,711,195,408,760,427,921,303,660,787,205,814,456,136,107,556,712,
464,082,714,663,598,128,006,628,956,708,388,783,632,233,463,651,964,917,360,
573,529,930,179,612,882,825,899,014,044,372,477,776,831,707,523,920,645,202,
579,674,842,750,004,260,059,468,698,910,000,468,494,369,513,679,013,442,103,
916,836,844,401,334,797,393,265,233,056,419,898,642,930,117,887,768,114,903,
000,591,066,911,070,282,442,200,157,171,971,229,227,316,765,487,732,836,438,
418,864,006,513,104,264,767,850,499,316,541,262,153,933,266,997,813,841,798,
795,105,392,198,134,492,748,552,288,568,922,408,009,970,602,059,503,593,607,
539,684,761,911,201,996,570,566,130,181,423,752,585,045,023,733,088,365,306,
220,569,716,148,417,424,743,024,419,169,741,981,692,819,416,844,006,645,010,
638,321,861,590,871,751,414,030,686,181,055,999,058,057,621,029,791,602,606,
447,251,747,228,951,445,931,081,746,122,596,861,718,970,924,145,205,690,321,
685,038,968,248,528,132,594,311,384,936,993,582,388,877,650,923,557,556,981,
220,155,126,855,813,722,828,673,933,466,524,589,286,911,521,899,814,832,338,
238,831,902,913,946,609,323,090,402,475,412,798,306,027,518,079,747,439,843,
542,932,346,814,186,940,499,203,159,463,473,915,129,469,174,773,566,608,163,
189,987,512,370,365,241,325,420,180,127,326,224,376,259,874,247,208,180,261,
460,361,210,194,319,649,351,115,491,935,458,087,364,610,165,871,807,152,598,
071,507,602,907,201,815,948,818,592,183,852,216,284,884,212,122,334,534,662,
762,623,797,730,520,870,559,918,055,722,555,020,090,989,160,508,342,793,753,
836,870,302,847,207,462,062,371,535,459,084,353,578,302,865,947,811,971,366,
260,023,411,009,736,212,014,213,565,671,769,330,223,529,518,961,776,795,475,
140,816,848,886,732,470,701,866,650,908,734,555,516,766,577,547,436,125,503,
046,354,516,590,695,925,249,134,963,139,717,313,118,578,823,633,649,385,957,
736,090,624,741,299,203,838,170,176,846,229,740,600,619,238,184,327,899,851,
451,355,087,211,257,989,650,351,942,055,979,410,969,327,837,042,180,341,199,
766,231,807,665,169,079,821,565,882,990,373,718,882,993,408,341,960,478,453,
601,114,075,665,811,751,578,177,022,673,991,008,337,814,363,639,974,324,124,
324,649,632,347,407,329,960,240,401,247,218,861,655,149,176,631,360,176,404,
036,993,055,771,495,972,534,016,759,672,818,478,906,585,564,008,803,073,634,
693,892,473,938,743,526,215,380,794,249,494,174,110,191,079,577,514,245,931,
099,896,429,531,407,809,183,066,008,487,118,716,506,777,310,760,418,598,062,
167,963,780,015,782,109,683,585,462,257,896,678,159,272,015,683,286,239,811,
489,371,869,621,136,992,742,676,162,283,337,649,259,729,300,556,851,586,496,
213,720,112,311,180,909,953,528,325,885,119,405,153,731,316,810,622,467,664,
597,444,591,230,197,589,083,591,557,580,413,294,397,320,437,837,525,619,762,
643,825,390,179,728,640,925,112,217,480,364,311,049,886,699,690,865,939,475,
875,087,707,089,266,070,640,504,375,085,963,515,495,417,804,301,455,343,784,
819,404,544,108,961,477,120,072,066,667,287,588,644,214,379,874,899,768,769,
762,424,099,998,275,333,351,380,972,049,432,991,735,533,717,880,411,773,902,
240,524,690,572,617,215,024,722,484,132,478,731,773,896,403,522,220,187,719,
210,272,205,281,759,520,397,967,636,609,641,999,578,700,940,336,089,014,037,
091,044,325,345,599,274,783,670,255,713,089,926,266,813,755,163,166,343,169,
688,390,995,457,243,114,083,572,027,001,682,164,551,449,399,544,926,033,414,
453,162,482,509,687,993,667,871,503,898,551,178,905,352,261,699,299,635,864,
028,212,830,094,602,914,316,494,062,717,455,186,127,758,641,327,595,480,558,
974,192,058,095,873,760,347,016,642,357,340,074,574,932,497,744,417,424,736,
296,210,887,828,249,778,083,240,240,346,997,106,116,035,201,657,668,186,265,
857,358,749,203,204,870,610,323,093,825,124,163,082,130,989,618,023,812,462,
188,728,077,016,109,842,710,605,267,992,426,576,741,491,667,075,941,313,684,
132,030,353,369,137,467,497,096,061,350,823,914,262,276,735,576,481,412,679,
377,593,821,897,370,249,947,597,364,847,936,718,566,996,553,915,201,824,239,
173,655,821,170,497,516,377,675,734,715,093,613,659,117,027,204,099,119,691,
383,921,426,599,153,351,886,278,081,007,415,994,974,924,162,049,897,051,785,
808,101,233,832,926,073,391,256,317,294,558,823,919,312,238,665,742,799,178,
639,571,038,736,700,077,305,633,769,621,671,185,401,070,297,126,068,559,582,
227,126,365,544,924,244,977,414,405,989,080,102,485,685,691,195,001,386,778,
241,152,799,637,806,118,153,833,145,719,998,678,298,574,404,439,985,053,680,
320,658,832,840,291,861,328,854,836,316,052,895,816,683,870,909,731,234,849,
325,952,580,075,434,760,538,862,547,027,116,072,456,295,726,917,561,826,514,
926,588,333,426,117,298,036,273,680,974,722,692,233,448,163,223,124,715,216,
043,014,910,191,826,479,595,768,615,502,656,186,838,457,605,189,102,067,746,
518,183,544,052,530,126,604,812,222,474,400,484,716,858,360,514,226,159,834,
050,162,044,686,559,298,482,217,216,802,166,788,161,423,191,859,656,402,093,
423,777,285,148,919,132,627,886,670,420,277,143,357,154,490,741,459,223,052,
598,585,896,170,374,943,258,832,421,683,460,339,428,528,633,259,561,602,560,
710,926,190,725,443,064,984,115,268,714,824,574,530,748,765,298,122,275,090,
722,765,298,102,557,444,898,355,870,466,037,035,434,519,178,728,450,165,178,
152,811,734,452,969,413,679,182,905,789,856,273,288,692,624,332,824,798,361,
533,305,359,207,157,143,096,129,813,639,895,918,731,059,189,665,942,983,707,
118,729,402,025,267,838,221,646,526,230,007,850,431,295,088,075,781,188,300,
955,602,929,041,153,071,616,454,058,167,458,754,590,091,547,576,196,663,491,
977,159,206,846,915,443,694,820,563,322,744,429,453,023,205,789,499,526,850,
389,658,314,749,022,790,331,920,616,406,762,282,859,913,054,074,065,422,580,
181,386,744,388,190,784,254,558,502,167,244,198,686,527,013,866,398,590,126,
413,837,587,513,590,071,009,674,299,681,615,575,425,744,035,646,590,978,211,
490,379,079,292,628,190,253,774,584,556,918,703,231,632,892,472,117,758,853,
415,556,147,888,638,991,937,795,094,186,087,902,741,427,075,412,126,494,091,
344,697,383,284,165,700,531,945,682,315,622,602,565,655,468,707,359,139,865,
790,205,994,389,184,961,110,802,765,527,142,417,044,267,847,912,054,777,962,
456,593,364,633,340,118,714,829,754,531,784,027,984,931,013,907,891,992,897,
422,914,666,583,791,453,719,379,893,918,128,973,987,606,586,921,224,923,735,
790,341,364,789,586,036,767,339,059,286,526,235,257,250,012,199,254,481,895,
280,971,468,847,725,972,043,529,957,538,855,633,366,234,853,364,027,186,651,
399,292,271,027,900,023,938,805,918,516,643,461,015,189,236,457,737,705,722,
621,288,746,835,287,917,029,687,630,161,779,626,625,025,570,735,065,313,542,
317,122,833,709,604,739,391,933,443,670,759,261,449,671,725,115,820,262,145,
412,680,367,945,737,844,867,386,335,424,256,007,039,658,984,299,117,007,730,
499,087,417,630,093,100,635,483,442,151,149,337,216,861,789,771,890,208,938,
969,831,142,545,587,968,874,949,453,438,857,869,146,859,129,718,509,467,413,
402,556,412,901,004,278,401,669,501,739,792,810,774,843,399,787,698,736,708,
930,101,450,876,351,664,098,067,915,486,374,933,229,428,507,441,229,148,853,
150,505,297,842,916,220,724,395,849,573,901,934,298,375,464,394,461,328,916,
734,313,930,188,889,572,384,183,895,761,153,100,552,973,946,513,141,347,732,
670,696,251,153,943,304,300,391,397,855,475,354,366,197,529,591,995,778,521,
757,277,993,154,213,835,290,176,185,179,548,451,491,523,250,481,415,478,067,
664,508,202,931,510,174,311,787,909,893,923,297,150,382,236,270,175,106,112,
507,907,603,555,332,260,673,350,638,979,610,846,562,672,813,157,998,560,573,
746,161,466,845,971,448,743,393,674,714,952,477,872,851,019,031,159,693,236,
443,096,127,318,390,684,345,226,579,163,269,419,106,923,331,895,331,212,459,
239,303,041,209,586,381,980,799,406,362,426,645,035,639,366,046,214,192,637,
171,129,450,219,311,043,637,904,404,207,524,737,001,333,039,225,274,338,617,
101,998,163,637,853,124,716,707,354,622,123,863,507,437,159,603,763,098,101,
112,485,450,490,143,850,466,722,077,224,901,830,336,556,449,595,202,898,159,
650,330,001,031,754,490,538,548,802,032,261,251,820,797,392,994,314,373,157,
034,625,005,327,978,676,851,177,579,631,253,682,230,130,126,059,706,153,710,
667,996,512,562,211,975,810,141,510,633,490,446,262,419,465,501,360,698,448,
278,115,540,673,749,528,414,291,560,289,318,891,428,068,779,211,527,743,265,
576,791,313,808,702,640,827,103,257,482,191,571,277,903,448,725,299,287,728,
654,861,434,285,450,831,660,121,210,725,778,716,633,339,689,866,360,280,953,
673,122,473,407,999,120,277,562,449,405,896,557,307,623,018,881,925,436,302,
961,500,386,119,749,980,751,043,275,315,430,638,599,613,856,807,899,806,920,
262,555,953,866,287,597,420,360,166,910,112,648,406,995,687,612,468,656,249,
139,213,375,363,826,513,790,221,134,960,298,089,067,738,365,739,713,212,629,
021,465,626,349,667,004,929,061,192,661,841,752,896,891,439,096,336,282,583,
357,719,863,214,765,779,812,559,756,015,488,482,195,397,563,552,498,109,029,
042,581,084,224,251,548,256,233,562,705,817,740,143,576,487,468,633,119,609,
220,866,170,715,040,029,682,869,333,389,095,450,494,360,989,282,433,920,282,
448,302,980,828,442,001,861,453,224,375,544,929,494,491,296,394,141,375,430,
319,615,493,008,257,326,175,551,321,534,856,481,173,405,119,293,571,561,010,
067,376,251,174,292,141,132,878,140,247,621,906,400,099,384,356,432,352,094,
408,027,838,980,633,281,900,884,885,058,274,852,111,568,350,284,005,137,267,
092,136,979,441,514,012,540,899,358,739,909,007,471,635,390,674,328,664,654,
722,086,036,394,073,161,712,797,340,646,530,875,955,505,350,339,431,991,196,
244,850,606,433,260,963,338,440,211,150,738,444,236,635,620,876,373,847,478,
578,678,769,639,059,623,719,165,333,367,859,377,403,984,079,800,063,673,340,
702,521,777,208,256,880,138,224,391,732,185,588,582,062,284,515,000,417,123,
768,651,054,424,465,305,444,324,221,272,358,255,137,104,513,308,743,133,660,
216,213,685,197,951,849,368,238,156,225,261,353,938,388,643,319,053,278,050,
869,110,075,941,076,919,029,653,997,793,009,866,122,376,246,400,651,596,191,
345,526,048,884,365,903,196,488,751,735,719,028,257,479,616,265,638,222,777,
113,730,116,296,063,614,408,167,137,767,343,083,044,190,055,305,252,363,331,
156,279,609,041,464,171,489,181,159,824,847,175,091,415,298,998,150,870,776,
229,281,263,454,759,761,636,047,286,131,612,777,717,415,198,484,096,467,053,
876,721,415,738,299,059,074,991,631,943,339,176,657,612,642,942,802,678,579,
797,882,738,692,694,874,068,277,479,326,673,258,694,349,715,453,840,293,350,
461,730,992,530,956,888,710,599,548,162,912,992,066,842,396,144,735,256,347,
281,350,337,890,701,198,532,237,894,380,629,848,102,937,832,886,076,286,891,
164,987,658,340,946,737,018,682,480,980,351,668,118,535,755,041,363,444,483,
764,408,481,026,969,471,025,307,560,670,269,256,799,714,980,209,100,450,675,
744,570,386,240,314,799,514,958,578,245,904,366,202,469,931,168,729,223,864,
021,198,648,696,541,537,246,235,315,115,067,268,617,706,442,394,761,463,123,
231,722,820,821,949,004,243,407,693,535,725,327,876,793,002,458,641,858,214,
946,716,208,602,931,819,293,212,134,132,862,689,335,213,676,982,311,798,082,
375,157,994,949,212,033,478,962,938,439,166,358,923,744,276,424,837,833,726,
110,487,861,980,411,541,222,734,302,533,005,556,194,417,025,657,070,032,294,
645,239,147,448,871,143,055,064,982,821,726,267,588,411,948,646,257,049,550,
909,074,524,981,350,244,262,643,914,948,256,552,746,160,975,567,534,441,490,
829,588,356,871,476,924,180,035,088,511,430,911,527,723,271,675,081,384,168,
279,735,317,841,828,113,930,127,195,555,042,445,667,325,354,621,380,973,338,
552,888,811,802,297,807,012,641,091,385,688,628,933,828,627,914,387,759,775,
386,075,860,969,473,101,433,185,924,338,553,253,168,054,913,284,839,967,312,
487,745,101,826,045,996,459,470,054,629,699,442,768,705,889,482,893,864,181,
533,735,513,836,591,189,073,332,442,570,614,893,181,807,641,334,404,732,262,
667,583,534,697,982,310,249,449,743,063,955,521,976,930,052,109,255,734,008,
222,955,089,452,213,434,198,480,591,836,283,831,941,495,456,547,496,671,631,
845,218,224,870,579,319,841,610,976,223,418,937,173,584,563,879,947,386,029,
014,693,734,210,064,327,960,844,854,623,353,843,144,840,163,845,976,105,329,
040,052,899,436,514,990,901,775,500,554,740,696,169,644,649,396,332,761,585,
974,140,172,093,881,303,800,286,770,960,574,448,163,388,547,767,192,018,015,
639,597,845,861,325,265,768,900,732,225,929,537,928,262,819,996,468,332,970,
087,451,657,930,710,304,075,768,962,203,276,566,384,358,396,327,671,750,312,
515,080,012,040,322,552,761,089,207,464,269,426,248,981,427,715,905,012,132,
467,789,588,247,112,228,539,074,176,476,001,661,857,185,998,226,513,053,269,
474,174,116,331,056,153,231,646,749,808,068,610,691,336,826,377,935,460,120,
741,605,162,161,849,854,447,443,188,971,261,350,398,982,574,771,658,325,810,
661,126,352,913,647,822,708,405,590,411,277,530,608,524,668,568,025,138,873,
696,744,608,688,387,808,592,396,795,284,955,338,671,429,372,943,063,263,557,
839,252,203,816,790,339,846,536,328,526,069,949,453,815,660,807,364,818,490,
427,680,928,047,042,333,295,921,932,199,330,829,547,111,399,553,511,545,390,
608,566,615,195,175,250,041,459,697,342,138,440,803,606,940,109,414,770,367,
768,710,234,488,265,554,874,277,823,137,944,338,404,621,334,547,993,655,528,
008,430,856,964,488,636,086,466,224,603,077,691,192,405,180,230,984,170,562,
811,757,797,286,929,040,828,155,085,811,048,734,590,383,612,423,214,654,905,
787,287,069,715,870,627,553,717,922,118,283,377,226,822,045,650,265,469,295,
793,510,784,657,777,124,855,018,233,116,599,884,810,995,371,249,161,268,583,
648,887,785,038,047,884,734,974,349,717,514,510,688,139,331,233,195,352,987,
788,600,048,412,297,398,688,852,170,465,582,269,553,786,015,796,517,310,456,
077,786,276,387,751,204,982,940,988,963,300,826,080,044,540,917,806,066,854,
531,784,654,511,769,758,627,762,564,055,601,010,982,599,829,122,027,914,330,
128,881,509,266,805,860,007,242,616,419,307,588,176,305,439,071,876,318,332,
666,159,805,311,868,229,858,311,638,631,827,144,261,791,937,404,657,817,465,
949,989,370,350,418,216,725,328,779,020,072,047,378,006,178,489,950,051,852,
452,036,141,934,647,036,841,696,834,596,124,942,312,346,376,499,669,883,173,
702,598,821,731,103,413,594,850,848,073,834,502,947,280,408,685,392,625,686,
164,544,917,537,388,539,107,995,698,078,004,571,270,671,674,003,709,077,219,
766,416,031,011,712,539,887,335,083,171,565,078,248,616,655,208,992,995,033,
106,532,511,741,911,205,242,869,180,769,326,098,939,490,980,571,758,633,144,
266,071,767,580,506,098,006,003,972,759,395,477,102,995,610,173,183,619,805,
233,012,467,674,976,376,624,762,882,238,930,750,520,176,164,670,099,605,537,
082,671,543,073,968,288,051,006,578,063,891,841,363,645,846,168,897,058,370,
279,845,059,104,325,644,156,910,166,475,200,731,913,857,447,875,801,341,727,
756,348,798,792,638,187,436,391,962,125,569,719,764,615,888,242,798,911,928,
055,915,910,039,740,057,905,965,622,033,021,998,394,165,281,194,295,177,083,
593,354,815,096,361,975,456,980,357,760,151,911,472,204,106,543,254,393,104,
381,068,782,082,432,214,322,885,935,342,256,377,609,248,236,955,580,104,645,
856,709,658,689,841,149,462,177,099,488,572,328,227,045,715,572,386,537,664,
275,715,711,013,533,701,438,627,989,412,102,839,700,263,669,606,814,580,402,
557,321,315,922,431,634,011,308,804,030,855,798,126,086,566,147,622,383,400,
523,613,974,957,326,452,951,452,420,639,762,255,149,501,068,994,405,500,546,
439,469,427,534,908,666,836,807,106,582,900,673,316,773,565,623,434,702,689,
428,037,329,790,849,993,724,232,552,408,904,043,446,736,332,238,310,938,239,
366,094,052,594,477,531,919,339,737,159,675,028,448,308,402,815,922,408,343,
586,702,044,561,215,274,722,966,219,769,690,889,547,671,084,643,292,878,759,
299,309,021,475,316,778,150,114,205,563,105,764,677,612,653,103,268,534,976,
618,284,258,401,016,850,579,943,111,139,526,792,359,090,679,366,316,571,679,
271,026,705,973,455,611,167,624,102,935,345,758,568,801,273,009,412,055,829,
239,431,354,749,093,061,631,310,815,822,839,411,938,050,699,800,389,654,868,
083,623,754,821,604,478,539,067,979,547,994,445,184,299,231,133,198,624,859,
645,634,931,601,017,948,523,420,525,295,729,463,005,256,869,331,835,478,782,
888,320,024,729,100,471,169,922,466,654,458,638,560,922,811,730,802,675,180,
454,761,193,854,476,992,780,163,410,261,058,910,952,492,644,476,493,964,179,
938,787,834,298,362,588,195,680,274,764,346,468,059,725,415,178,067,909,850,
716,860,311,505,228,305,887,586,899,794,948,778,732,281,062,995,791,955,631,
144,757,672,302,436,388,975,591,036,358,764,479,880,331,346,447,176,912,848,
550,442,047,181,862,626,196,084,934,085,041,877,560,462,675,312,267,291,626,
359,639,745,130,514,396,884,609,883,583,757,985,006,875,788,634,868,302,685,
848,058,645,597,977,480,515,004,220,320,432,138,816,418,498,949,189,222,825,
582,379,029,544,526,640,563,871,560,191,473,248,434,981,518,977,637,216,160,
269,328,180,129,304,365,069,277,246,704,033,002,130,346,757,348,627,832,603,
396,767,798,545,285,337,203,009,909,962,920,915,729,823,890,145,933,889,138,
120,646,775,187,892,478,118,099,604,172,918,449,587,359,304,923,127,863,644,
746,336,648,480,392,676,376,769,263,160,595,646,358,543,725,192,341,428,771,
292,481,228,901,635,196,011,493,840,853,596,514,491,791,024,096,032,496,408,
692,682,849,762,490,343,674,084,466,887,914,594,604,408,311,911,677,899,209,
401,779,190,757,775,468,178,247,086,874,700,160,781,756,807,736,030,571,647,
371,441,348,486,264,029,303,511,966,303,691,306,469,398,486,613,168,312,553,
960,254,983,403,325,614,833,350,993,191,293,092,686,868,040,374,576,148,554,
052,675,269,860,632,654,674,913,411,056,670,063,243,949,983,717,229,513,855,
004,092,492,327,387,040,260,635,270,028,762,857,339,751,789,915,372,921,406,
217,578,191,097,946,281,960,033,556,395,074,439,603,899,268,176,613,151,355,
028,468,439,218,509,060,635,889,702,208,183,086,087,942,619,496,095,466,840,
289,654,412,862,201,017,716,896,158,959,967,011,718,490,248,974,666,987,059,
244,424,117,990,731,485,917,969,771,814,378,290,716,230,888,681,257,508,623,
847,950,877,289,652,891,176,233,154,880,558,434,938,710,304,834,614,392,400,
666,031,121,079,645,619,678,233,426,773,009,966,211,220,858,634,468,697,854,
210,441,667,063,373,209,078,327,613,656,811,791,113,359,826,564,812,602,738,
042,679,721,243,885,394,823,156,351,649,567,004,524,367,762,403,271,689,073,
606,278,372,929,923,897,688,646,735,102,338,636,226,312,989,129,763,587,696,
397,098,542,961,084,593,395,333,896,464,632,522,462,523,243,755,886,643,322,
336,080,857,352,605,100,285,719,358,430,345,277,698,661,018,260,606,314,368,
431,499,692,222,339,852,328,247,471,863,887,528,004,841,543,550,397,222,557,
692,391,149,640,044,973,472,026,148,468,916,051,293,315,481,958,083,608,211,
589,099,498,284,977,475,849,739,358,219,991,629,559,104,957,482,039,722,556,
417,808,005,934,415,120,486,588,799,999,977,774,146,091,910,354,291,383,193,
995,093,553,897,861,070,993,139,731,645,325,868,331,397,174,791,929,361,851,
503,243,253,458,005,570,923,432,687,076,848,829,233,765,227,632,319,074,154,
514,427,375,574,239,035,490,549,879,839,618,241,612,291,689,932,015,375,331,
989,331,526,684,095,262,710,284,483,501,344,424,202,709,455,055,129,897,557,
639,595,875,539,803,419,244,484,160,069,955,428,205,711,119,113,161,749,005,
607,417,714,861,584,102,675,876,974,475,537,858,305,742,052,310,304,208,320,
896,236,179,062,771,272,757,287,729,659,980,785,917,822,227,696,773,334,568,
753,134,525,629,775,579,042,061,301,412,333,915,236,771,588,490,684,700,009,
768,640,678,921,368,028,278,653,719,134,964,990,683,599,581,772,540,589,765,
164,222,581,079,757,471,084,796,486,052,966,025,491,051,289,014,366,579,960,
771,133,710,162,398,711,825,139,333,393,323,748,079,030,866,573,741,917,015,
949,994,861,270,783,654,608,025,970,985,572,863,431,152,316,709,665,234,376,
265,279,815,542,691,379,436,276,129,571,565,853,299,328,230,625,467,576,831,
268,775,311,287,951,758,697,244,149,175,156,015,046,750,270,033,720,538,085,
138,163,861,523,983,218,034,369,734,836,244,757,876,505,662,720,675,206,906,
844,642,326,209,479,003,477,476,065,460,594,473,372,789,631,231,592,855,330,
770,371,023,018,520,895,150,492,177,086,288,924,515,896,086,873,326,299,780,
518,157,889,520,176,216,479,873,740,581,112,886,576,628,392,711,519,959,424,
655,091,864,909,713,348,222,368,757,248,051,599,515,011,975,088,713,181,687,
113,539,391,929,405,391,184,368,885,567,228,783,338,754,583,525,633,332,106,
571,095,308,061,310,076,734,938,936,153,838,383,983,199,028,836,775,411,593,
036,119,670,611,280,707,652,248,626,655,346,659,041,940,007,913,633,223,760,
867,159,915,153,677,308,397,480,446,325,199,659,104,631,737,369,079,196,298,
842,582,594,154,802,219,604,301,735,603,622,726,062,581,970,245,964,434,749,
800,390,452,928,410,725,773,553,155,224,805,043,314,700,879,352,721,039,528,
235,924,553,106,378,674,921,870,231,705,190,000,423,242,566,412,065,877,849,
790,970,921,717,060,844,832,781,936,081,794,839,188,598,594,613,715,919,529,
358,567,648,437,385,108,214,790,960,854,135,545,881,356,955,122,001,938,580,
243,029,594,611,027,772,206,856,180,843,510,078,126,161,369,992,688,945,726,
467,679,529,944,587,257,953,375,409,922,582,754,785,417,705,690,502,415,750,
747,242,807,603,417,402,851,969,806,595,344,583,296,715,527,472,682,237,345,
597,613,699,014,264,443,656,985,451,905,582,417,138,333,906,410,314,868,982,
346,993,784,402,502,092,562,533,912,477,235,697,631,241,051,821,862,115,847,
264,714,720,855,487,270,182,232,545,039,895,275,361,985,886,675,909,017,746,
748,145,884,599,586,178,597,989,631,975,281,794,126,324,665,704,030,092,244,
036,071,037,088,984,519,112,082,934,519,128,286,084,531,857,320,154,398,028,
159,682,457,614,078,424,640,464,500,220,682,307,268,905,180,078,446,003,389,
438,865,595,119,876,448,725,501,500,844,923,608,273,630,187,512,789,722,950,
033,219,164,267,260,230,237,539,947,551,161,966,443,010,856,461,238,995,434,
202,606,623,969,586,865,971,955,853,006,051,067,752,433,249,215,404,031,479,
566,551,330,588,034,743,427,365,596,583,025,969,369,955,163,931,021,122,045,
795,316,330,599,605,931,928,886,561,944,105,523,807,429,156,008,903,348,888,
741,658,730,463,435,569,428,432,736,091,081,191,773,929,430,618,577,342,230,
574,010,515,469,628,045,424,263,742,792,266,554,942,279,214,217,213,847,754,
331,234,172,651,351,175,704,129,982,289,575,018,786,247,794,619,703,377,370,
384,863,472,492,862,814,407,860,145,113,962,694,840,308,121,437,456,193,539,
606,738,431,305,371,697,946,025,843,397,295,037,330,337,496,257,942,500,094,
955,909,181,372,549,273,058,287,620,068,175,724,909,316,945,448,085,381,593,
749,809,710,529,214,775,732,936,825,028,962,711,572,574,045,453,681,109,821,
075,070,870,910,205,841,474,208,200,248,725,522,614,944,748,405,258,377,069,
367,017,629,318,051,619,742,690,334,901,488,909,205,984,100,156,815,077,266,
165,348,269,813,823,630,498,580,881,999,983,995,409,169,765,838,177,678,226,
279,162,004,807,663,926,102,172,021,768,411,015,389,364,892,102,346,873,007,
238,854,464,613,687,388,446,181,566,110,826,954,836,420,632,626,143,687,888,
596,283,992,912,999,009,405,034,493,790,735,944,069,469,758,096,899,462,256,
318,643,115,022,426,514,942,032,429,943,009,673,315,919,646,170,942,231,215,
859,242,311,289,688,803,754,725,316,010,493,700,368,989,657,924,651,556,446,
977,795,813,043,932,641,405,410,362,936,827,113,445,232,790,285,532,309,877,
119,141,268,176,734,820,121,758,660,296,047,839,844,293,428,995,405,346,309,
365,498,530,771,857,020,433,324,120,817,621,221,936,713,177,391,050,971,318,
177,714,989,730,259,288,168,341,279,607,565,237,021,328,505,494,308,473,132,
024,023,656,282,580,865,563,606,630,826,059,008,444,767,076,127,304,740,909,
533,576,386,370,379,988,243,165,385,475,053,245,899,710,191,998,724,260,352,
641,367,390,626,303,022,328,931,119,047,997,271,691,556,633,983,183,723,544,
397,930,164,200,661,046,584,886,496,577,085,962,506,845,670,860,601,435,894,
008,794,225,387,183,824,697,879,388,928,012,177,368,523,517,149,265,154,170,
442,686,523,518,440,855,150,884,054,455,616,114,625,311,365,620,208,650,271,
129,746,303,801,019,694,226,837,535,503,033,699,488,030,052,678,876,872,601,
256,169,500,490,282,412,870,434,274,398,438,184,029,173,485,631,544,139,330,
655,427,425,259,022,557,318,684,673,882,572,714,430,695,253,146,522,373,185,
972,140,179,259,567,454,964,091,464,880,845,851,891,572,499,210,165,882,564,
272,716,892,839,864,983,334,880,340,759,261,526,324,851,666,951,221,747,640,
341,555,643,356,021,201,445,538,106,290,214,873,903,385,045,997,571,050,716,
255,382,117,012,281,599,433,819,950,532,273,964,679,042,099,688,368,988,297,
859,687,471,258,349,038,141,010,370,942,819,704,338,185,224,948,494,152,324,
508,635,098,991,381,772,459,699,783,729,211,211,652,334,762,419,622,117,912,
182,185,215,324,456,425,193,103,383,955,717,762,406,750,667,771,657,502,137,
987,807,276,710,315,244,249,885,677,431,996,712,174,671,973,122,046,708,858,
825,231,359,004,427,217,782,154,539,871,781,446,235,187,670,677,678,787,990,
754,716,249,873,528,945,767,039,153,677,572,511,892,571,072,750,223,462,921,
106,939,828,483,936,485,527,355,160,510,367,302,121,185,897,890,749,263,421,
339,869,985,932,773,126,482,626,289,268,309,230,194,254,610,014,670,562,154,
534,021,411,471,331,710,543,482,370,087,426,169,572,619,808,735,255,210,610,
118,233,639,499,995,187,649,923,667,193,435,456,088,026,314,505,905,578,896,
367,972,883,229,965,973,767,898,555,178,238,578,511,145,711,104,496,952,300,
000,117,859,042,872,080,957,419,793,173,164,258,701,938,184,452,846,762,401,
412,217,213,491,196,895,454,914,362,450,077,904,079,918,366,207,094,967,934,
572,183,326,507,197,789,279,863,292,666,556,761,366,708,541,278,347,815,597,
380,674,580,343,901,547,295,944,090,782,471,738,453,816,538,261,291,942,886,
437,982,800,795,010,556,271,944,215,795,845,240,095,144,946,287,557,431,795,
713,769,587,663,547,872,588,747,783,393,053,480,187,851,097,712,286,401,698,
818,642,136,496,039,068,441,001,244,290,401,295,540,351,499,438,057,530,376,
932,500,680,432,235,492,184,480,758,885,473,403,459,581,252,574,889,271,461,
475,282,514,120,692,599,019,449,657,060,568,875,021,444,941,111,061,826,588,
788,519,206,862,096,936,377,124,231,004,535,887,652,646,449,816,075,642,667,
794,494,828,041,915,497,825,494,802,363,385,042,372,471,931,752,137,598,225,
157,981,608,904,470,179,826,661,474,843,009,366,202,626,040,476,964,340,953,
432,676,253,970,418,977,425,676,878,493,110,251,223,530,744,949,225,172,397,
226,422,876,607,711,438,452,675,339,920,823,824,650,093,645,521,343,144,749,
367,857,897,935,958,360,687,607,705,480,462,873,325,413,432,428,355,906,376,
827,574,091,416,736,366,672,899,724,036,001,218,348,338,982,781,071,880,827,
246,581,562,091,821,151,273,070,705,663,662,527,058,193,429,218,747,939,942,
384,077,143,257,588,784,412,608,679,439,435,852,358,696,150,256,480,076,648,
098,671,679,542,607,134,028,615,288,398,841,136,973,798,525,847,374,775,128,
242,668,694,804,184,590,784,319,807,615,218,577,446,054,779,710,305,016,379,
430,592,530,777,015,572,011,155,782,478,875,184,949,540,981,858,960,731,116,
289,415,152,683,788,936,174,978,506,451,886,664,042,801,578,350,411,344,101,
484,786,411,211,356,287,422,222,175,724,248,383,017,649,063,529,031,800,917,
316,241,790,742,437,500,676,284,245,402,690,795,534,397,169,537,007,706,203,
678,270,051,215,770,637,747,634,179,319,171,158,729,247,875,834,286,374,373,
172,983,741,018,073,366,124,049,160,872,234,887,473,032,001,543,622,079,491,
467,330,632,187,925,843,259,564,523,416,843,153,538,142,461,718,928,841,146,
558,433,406,713,856,200,553,444,424,449,817,327,497,598,944,158,988,144,807,
968,165,853,095,067,912,124,516,507,598,609,436,070,561,896,198,566,682,791,
710,020,241,929,696,331,873,730,375,811,330,019,530,868,848,276,842,094,252,
740,269,591,193,452,607,540,587,285,009,833,835,160,750,610,995,336,878,287,
585,556,185,574,178,403,213,542,944,915,520,018,459,333,732,605,735,871,011,
505,129,936,453,629,199,962,058,679,335,089,224,479,030,751,711,745,636,683,
325,653,523,245,153,762,588,981,080,796,102,316,365,496,822,413,034,998,151,
012,438,410,008,534,909,307,866,707,777,080,898,120,774,114,750,531,045,151,
936,166,402,673,526,502,871,722,419,819,101,835,586,373,181,946,013,097,049,
609,982,152,676,214,189,205,894,344,149,564,675,522,345,424,687,616,650,680,
099,970,302,641,621,820,452,736,136,093,168,870,361,746,060,320,180,859,775,
620,428,892,239,153,962,882,044,708,489,031,224,416,404,867,493,602,838,428,
829,856,714,700,410,141,969,310,059,075,484,941,916,101,956,688,387,326,651,
788,749,417,451,191,024,813,617,411,285,696,250,788,074,709,543,939,670,204,
668,152,515,332,874,435,528,747,440,376,444,754,984,344,208,075,769,263,869,
581,527,744,684,771,556,125,298,577,062,266,385,031,162,330,904,946,884,858,
203,138,900,384,747,186,915,503,301,679,677,921,408,941,580,299,759,223,593,
474,090,807,325,098,054,093,489,049,176,187,363,902,257,959,397,236,568,633,
124,522,155,668,558,071,744,245,757,821,768,900,197,629,493,542,509,217,165,
963,898,241,130,300,995,465,671,950,957,446,867,255,861,237,099,383,837,892,
317,128,469,482,463,815,408,472,472,922,075,913,498,076,256,759,636,111,100,
192,788,398,616,921,674,122,917,370,305,219,060,811,844,694,176,029,556,618,
713,513,173,925,529,398,046,518,779,267,799,779,904,043,575,035,684,657,682,
070,529,886,661,954,333,317,649,040,266,852,198,284,184,173,845,847,690,319,
394,295,986,101,173,047,245,072,826,438,435,082,954,101,329,776,772,124,056,
130,312,578,269,799,045,203,176,144,319,737,341,748,395,590,088,780,470,049,
645,330,748,345,701,798,030,865,585,765,273,268,882,592,937,349,053,247,466,
872,753,953,126,697,105,049,871,081,481,813,541,368,709,326,505,140,163,853,
096,634,654,871,122,906,650,714,999,791,913,006,162,477,180,842,267,720,162,
729,120,138,997,731,296,451,070,545,382,578,417,175,788,567,369,718,675,526,
516,969,230,384,698,115,540,004,071,381,398,892,122,629,517,267,035,147,620,
069,427,048,230,241,402,357,761,104,066,434,431,154,101,127,390,591,547,422,
954,615,531,895,113,595,925,541,115,787,989,025,671,554,853,371,293,539,103,
613,871,887,938,464,601,100,571,253,526,047,734,819,162,802,227,513,870,032,
294,681,740,757,253,717,160,903,864,495,072,958,999,066,526,471,592,548,555,
048,318,868,786,799,020,841,522,304,517,022,663,281,016,880,268,406,154,465,
972,863,996,036,388,671,934,829,998,707,240,252,590,315,326,084,325,860,599,
236,366,688,124,496,781,608,752,082,281,827,470,799,188,386,240,165,677,835,
121,960,450,763,410,910,475,929,177,018,674,011,065,229,555,581,365,915,083,
257,511,151,904,604,252,847,601,799,269,259,465,846,090,053,588,761,076,532,
644,560,005,340,386,033,768,173,761,813,905,097,380,546,731,807,633,940,786,
445,231,476,906,971,259,078,125,171,820,200,859,613,635,151,762,877,185,270,
041,492,654,678,100,948,246,822,674,394,034,413,306,926,388,444,417,865,475,
357,043,658,616,737,546,350,443,417,923,479,730,616,937,001,091,880,328,025,
768,821,666,754,651,966,179,454,873,047,818,565,720,916,598,740,023,165,892,
666,334,928,776,221,892,493,091,798,147,065,346,455,722,400,646,025,637,290,
511,436,653,879,084,025,239,152,321,896,580,259,689,275,598,640,147,450,945,
697,675,200,629,161,661,588,317,674,555,258,333,662,784,407,186,270,652,458,
547,703,602,699,985,929,453,955,985,946,111,909,658,665,442,897,134,754,935,
165,686,479,760,393,265,674,235,828,384,032,644,828,153,920,932,104,036,663,
909,366,652,902,482,863,125,961,205,211,216,718,333,851,303,249,860,697,270,
717,521,261,816,811,777,324,029,815,951,544,419,814,252,904,638,161,749,457,
971,981,211,376,198,655,018,756,670,586,397,650,443,802,617,960,519,133,717,
547,059,436,618,549,249,494,196,899,465,033,575,900,844,055,962,135,608,159,
031,314,108,423,369,325,662,022,410,954,864,156,927,679,002,734,655,785,528,
241,937,260,237,461,052,436,283,415,575,518,393,160,500,785,395,447,994,574,
637,284,860,876,880,072,747,792,242,111,365,178,617,782,342,974,942,999,305,
370,671,705,680,082,091,874,795,987,828,893,360,253,113,589,749,214,425,382,
544,552,978,000,787,376,795,865,920,966,518,616,912,592,730,837,253,000,194,
836,499,459,166,638,789,771,690,572,960,084,782,740,117,332,267,772,280,956,
603,149,744,441,279,765,581,671,912,537,463,186,793,872,359,262,759,917,903,
683,927,433,753,037,424,116,920,300,815,165,305,013,908,755,040,499,843,246,
309,919,479,499,286,039,438,680,583,065,764,357,718,163,467,154,894,206,525,
519,689,800,945,387,879,514,991,701,469,225,054,272,588,399,223,463,329,143,
627,887,613,804,024,703,576,213,682,452,871,421,895,402,001,612,997,342,922,
480,112,753,511,904,480,966,521,123,383,974,781,131,860,533,598,560,478,073,
205,365,593,928,062,520,621,600,588,519,217,589,100,713,801,179,415,447,285,
380,534,202,015,302,536,102,084,237,620,517,420,079,197,228,963,705,151,053,
648,677,773,256,541,666,494,904,569,658,397,116,118,879,074,924,784,661,579,
280,782,434,975,820,806,734,460,177,009,364,013,168,606,297,610,160,269,330,
339,376,149,620,474,353,197,007,508,182,183,742,074,491,734,821,346,914,465,
969,232,143,167,048,279,466,101,940,645,915,580,975,851,452,325,220,521,785,
409,106,223,281,422,810,455,640,957,608,199,312,774,085,505,179,208,461,225,
850,112,683,351,676,428,289,957,929,187,850,497,193,373,341,455,011,679,537,
298,746,445,429,103,523,741,222,873,044,302,078,599,362,489,889,913,796,396,
959,096,085,280,972,647,516,634,776,492,748,430,188,521,977,825,569,579,782,
102,874,276,086,749,714,795,435,168,140,797,976,344,674,244,772,549,167,528,
325,791,794,317,278,365,317,857,036,505,014,304,674,138,259,711,807,843,014,
450,829,975,819,323,388,081,805,171,233,554,407,011,807,976,166,286,729,343,
699,787,743,213,054,506,703,944,014,333,296,619,151,105,282,174,639,504,938,
918,766,347,928,669,153,941,961,964,696,700,068,528,785,257,746,233,866,777,
702,383,303,436,134,025,917,290,278,752,236,127,746,000,132,052,915,916,311,
786,065,038,705,261,751,391,989,200,012,950,590,822,883,669,325,771,600,992,
391,125,689,662,956,002,385,365,456,916,909,144,489,587,518,907,607,551,840,
719,271,521,084,178,090,246,720,084,059,465,729,373,403,638,540,426,912,667,
198,637,015,275,696,300,920,890,128,926,081,046,863,094,167,872,824,386,667,
189,171,193,518,963,036,672,631,075,670,841,878,370,655,566,681,595,018,104,
462,269,037,505,230,401,702,099,070,387,610,516,284,484,568,479,806,223,298,
247,861,492,168,000,460,998,252,081,505,062,943,680,607,173,949,013,608,674,
006,909,637,556,060,069,604,094,101,376,030,588,903,206,302,665,799,386,137,
805,843,958,815,052,172,222,459,878,020,537,022,766,633,911,896,028,468,526,
621,596,235,076,709,794,995,529,782,179,671,050,977,560,234,210,331,423,472,
482,418,154,027,792,583,157,823,461,069,486,388,794,532,120,805,188,231,167,
506,038,406,245,847,250,319,304,058,250,273,595,878,086,989,346,544,155,902,
492,975,514,205,917,704,533,545,875,352,634,356,807,396,391,082,879,203,392,
337,509,154,300,868,533,171,336,362,742,173,108,305,506,552,636,063,387,136,
582,799,731,898,217,958,837,087,320,966,493,913,677,787,450,037,242,573,210,
457,473,167,079,235,130,242,091,786,033,011,126,740,516,105,154,279,491,892,
141,036,375,340,522,427,298,373,277,682,781,717,459,525,636,093,384,765,575,
312,323,935,400,455,223,213,310,110,729,356,616,334,000,010,010,769,394,301,
964,369,128,870,313,850,101,882,942,349,957,255,481,647,288,414,341,163,042,
671,114,269,490,581,989,830,206,587,624,366,493,495,784,080,116,934,259,665,
555,959,081,041,637,362,760,589,203,086,818,902,958,023,874,320,212,575,917,
441,017,676,032,854,744,121,414,580,034,448,178,764,380,506,411,621,063,882,
216,290,795,294,595,001,464,733,489,789,216,500,399,417,109,951,233,955,754,
652,933,341,910,001,954,380,228,706,302,854,066,505,978,911,788,621,387,112,
881,252,004,898,953,762,739,164,011,523,862,752,160,659,301,008,203,169,107,
182,294,144,785,990,422,335,649,050,809,405,611,297,582,143,262,442,381,950,
850,516,984,954,410,051,716,275,152,647,931,978,915,597,788,700,125,273,584,
449,299,375,496,628,808,388,499,551,106,527,816,445,720,106,240,657,162,957,
730,734,150,225,207,937,872,777,540,499,612,149,707,059,690,263,894,214,157,
923,616,543,881,474,190,368,701,291,239,967,233,544,326,931,622,680,661,824,
667,319,860,137,787,515,455,744,911,589,439,958,877,606,043,411,490,500,629,
040,163,530,545,579,448,952,727,197,193,463,305,182,578,169,723,935,432,450,
150,808,727,285,605,852,204,060,588,132,215,150,720,010,858,686,334,082,171,
600,186,456,483,417,212,102,837,616,696,153,737,538,532,941,022,653,277,783,
587,981,139,774,437,662,934,630,960,291,580,702,146,587,276,671,397,870,880,
282,745,045,597,075,488,314,083,570,158,915,644,325,743,083,494,235,405,205,
861,127,339,023,659,646,129,624,933,524,029,797,962,114,124,351,613,305,175,
651,565,489,727,509,807,197,704,532,149,360,195,982,551,813,283,344,609,305,
665,944,891,541,328,827,688,175,420,101,074,408,442,989,453,222,469,370,200,
231,896,348,098,113,262,789,315,728,515,135,000,778,999,834,693,904,158,557,
096,574,771,920,353,984,748,209,199,618,702,937,406,244,818,092,692,986,760,
455,482,818,590,872,325,558,094,937,724,733,185,775,075,914,725,956,217,327,
677,032,082,123,136,878,593,165,300,465,606,514,171,474,722,138,317,599,026,
729,949,431,125,175,789,381,357,663,331,314,988,237,969,263,226,106,467,362,
466,704,690,551,674,725,054,942,550,251,641,085,249,930,392,360,111,065,884,
141,790,621,882,414,698,693,185,489,131,584,381,221,310,334,373,022,033,482,
461,323,145,679,293,917,434,397,173,486,451,028,042,755,651,596,005,514,572,
233,649,798,990,870,572,069,162,670,680,122,055,408,609,857,051,259,469,064,
046,965,597,903,329,712,059,256,304,175,818,956,310,248,657,636,560,196,402,
958,956,073,179,785,263,976,754,714,710,818,471,934,681,373,688,095,853,742,
654,453,146,594,875,394,664,195,512,561,358,976,664,136,454,901,171,765,518,
623,642,304,068,200,068,921,749,834,100,504,846,680,996,959,406,754,434,215,
399,675,189,786,610,382,520,946,963,491,112,207,316,177,002,417,690,417,057,
157,289,818,374,700,796,970,403,510,671,531,031,531,031,549,639,569,652,579,
194,884,457,288,943,487,380,776,129,873,356,319,679,075,050,404,482,742,419,
334,422,761,290,149,369,281,537,324,168,468,416,400,012,195,489,061,312,148,
353,316,424,037,075,977,958,375,476,400,442,182,320,114,423,987,369,817,271,
661,545,310,860,168,398,427,677,345,393,978,227,600,045,432,822,914,171,455,
151,250,431,915,020,985,736,378,032,009,694,695,782,506,165,150,279,846,124,
893,325,293,155,931,153,118,638,561,833,822,915,158,161,407,402,326,016,786,
875,517,655,824,379,573,299,937,546,564,540,801,034,463,469,698,004,302,545,
065,200,476,685,767,878,600,341,271,476,925,137,244,426,984,114,825,957,814,
113,653,269,037,815,212,525,592,431,417,162,020,145,269,459,629,006,529,387,
883,089,629,723,235,443,202,214,061,401,869,259,143,774,305,530,238,677,771,
192,960,112,887,099,854,399,419,283,855,285,067,583,917,055,680,010,862,746,
805,565,971,577,598,710,406,687,939,048,625,152,855,842,475,856,978,635,324,
241,703,869,824,257,514,566,701,088,578,479,200,884,520,323,856,657,577,688,
319,272,688,576,500,954,480,105,284,243,283,008,527,132,216,277,191,504,738,
802,447,808,961,748,910,360,365,444,197,425,147,674,981,147,582,543,500,049,
224,894,239,571,547,514,892,002,137,831,034,035,322,648,177,139,056,447,245,
232,691,403,280,948,984,006,992,796,694,430,980,390,939,963,309,174,760,149,
496,611,977,093,510,013,126,551,064,002,764,404,943,689,911,665,501,978,473,
445,940,748,030,152,784,969,208,503,928,888,213,153,913,837,784,226,093,895,
535,422,816,613,449,739,404,164,022,494,195,770,208,876,639,478,038,387,045,
754,114,139,188,057,209,801,255,729,212,038,225,882,066,793,211,568,705,902,
337,995,549,473,146,997,629,393,068,626,446,883,820,945,639,953,240,035,563,
312,367,152,789,316,873,813,329,610,926,510,769,656,230,165,035,179,521,869,
198,251,892,070,955,357,394,151,709,710,992,795,069,086,573,825,259,024,151,
283,231,293,162,462,622,378,369,141,317,675,335,891,531,294,078,152,962,502,
865,499,406,802,036,897,076,886,914,521,486,000,921,824,594,111,598,890,521,
001,044,653,182,013,525,424,661,232,566,207,478,401,244,608,965,426,927,679,
300,519,029,617,024,443,760,138,491,220,682,849,622,656,286,577,319,569,803,
313,773,131,317,699,356,339,744,270,400,249,883,233,201,383,405,839,882,062,
677,590,471,782,588,762,037,131,631,906,778,834,598,950,725,878,296,923,093,
931,055,835,371,512,566,438,261,424,990,602,073,677,672,643,431,478,619,435,
186,773,602,156,028,747,599,541,492,789,620,899,199,046,814,727,908,987,402,
710,181,390,384,967,972,907,487,715,957,753,399,461,477,745,291,451,017,189,
529,502,611,056,113,118,389,579,978,410,880,195,585,243,045,182,830,399,905,
144,779,880,300,039,247,330,047,593,406,190,200,667,219,602,703,675,558,742,
352,674,057,354,964,812,906,801,387,431,561,097,362,524,452,393,384,436,363,
570,654,342,466,385,088,080,436,429,613,845,404,209,350,979,298,716,613,533,
954,785,988,541,996,735,213,821,744,776,918,303,594,208,315,354,599,009,176,
543,937,008,842,203,630,058,179,716,259,762,279,142,208,500,335,274,532,107,
226,472,408,732,206,106,089,162,077,792,257,192,144,364,984,399,164,525,329,
209,231,549,564,655,639,996,035,260,854,925,215,156,535,018,732,902,919,997,
614,533,397,039,731,693,711,564,317,534,261,157,364,947,905,910,027,797,832,
853,546,734,234,086,300,282,988,571,010,378,667,552,042,771,622,994,126,375,
647,408,075,638,348,658,807,149,840,087,473,974,940,670,369,032,885,216,968,
357,009,079,058,775,670,214,393,754,004,700,787,047,279,694,020,911,195,214,
039,610,643,990,790,080,368,557,861,216,349,159,962,309,867,876,887,740,109,
256,007,262,577,197,261,448,665,003,760,896,318,162,319,637,529,389,282,238,
481,445,501,612,682,367,842,205,717,944,311,347,879,105,894,263,088,490,957,
801,373,862,295,362,370,607,792,503,704,274,134,607,378,278,154,925,388,437,
982,548,306,838,351,449,953,868,629,492,043,907,955,773,627,665,113,033,473,
431,087,280,717,013,249,252,853,852,856,773,655,484,327,202,759,155,927,516,
034,666,644,872,820,707,629,053,202,471,126,223,488,373,411,324,097,679,596,
511,379,210,437,476,544,075,792,075,758,250,298,931,633,874,596,207,938,935,
671,040,945,691,621,093,771,283,205,324,934,963,653,987,034,923,540,541,920,
233,288,232,061,643,456,291,211,733,927,246,716,282,618,392,848,746,415,447,
752,271,387,209,309,575,066,769,972,809,726,889,383,051,139,715,357,449,719,
635,342,059,260,334,896,401,744,087,509,221,603,196,320,144,625,562,508,525,
408,640,286,931,853,516,500,499,792,027,982,624,884,228,128,846,984,653,508,
457,733,059,474,624,108,991,893,416,075,036,385,174,330,317,891,074,271,661,
249,767,614,304,796,748,249,905,824,065,228,428,506,545,122,665,399,945,029,
558,023,326,597,762,778,882,003,448,760,881,591,949,888,684,752,562,920,067,
528,878,553,908,515,480,105,125,597,726,789,773,652,059,649,114,122,124,115,
189,935,278,755,465,134,157,624,615,401,528,970,754,395,159,186,685,143,861,
577,898,015,921,151,185,208,258,984,945,377,625,112,481,763,532,940,944,901,
646,792,899,371,637,931,522,688,003,483,782,342,004,219,803,987,433,526,993,
091,417,929,436,144,699,577,240,692,471,290,406,380,800,623,872,357,429,877,
036,652,305,036,315,080,488,893,199,410,169,255,550,880,024,293,173,959,842,
334,251,504,521,287,798,281,539,257,626,832,189,935,604,725,963,890,334,321,
587,714,997,155,687,504,489,212,623,645,524,111,899,842,330,599,087,871,114,
439,108,411,609,229,349,313,878,732,466,171,209,565,953,528,788,599,757,775,
168,238,122,998,165,159,042,459,704,135,102,342,635,233,457,214,774,881,156,
080,317,382,617,041,637,816,661,373,813,172,902,293,702,688,212,370,435,099,
450,380,343,691,486,934,138,898,770,192,406,628,271,970,692,293,887,751,497,
470,048,343,810,409,568,457,262,967,522,451,625,219,673,842,115,123,068,409,
073,983,083,851,828,927,522,295,939,210,153,214,730,399,576,924,251,688,962,
192,282,823,722,888,962,171,617,209,128,478,622,894,541,799,921,311,741,995,
661,719,598,503,687,134,780,016,680,176,680,951,966,485,533,988,658,023,366,
024,468,381,839,744,065,396,307,831,926,409,723,700,576,001,280,172,474,212,
344,952,614,436,285,924,754,940,670,337,050,750,871,726,517,100,175,214,159,
381,801,204,013,942,264,772,127,347,112,365,059,674,914,704,141,578,076,039,
201,517,542,180,891,804,739,370,944,978,921,524,824,259,864,914,944,787,394,
693,663,300,821,576,552,726,354,079,044,704,923,831,289,462,627,208,513,740,
691,247,926,923,310,540,163,632,120,622,681,933,340,468,092,598,664,028,167,
013,800,972,546,520,636,761,830,849,229,204,829,503,597,363,750,983,842,934,
780,268,515,286,446,373,483,847,941,419,192,712,496,717,638,437,736,239,563,
124,496,853,885,879,722,440,097,475,164,120,798,188,960,122,203,460,765,175,
904,758,994,711,950,535,958,011,750,131,053,779,804,753,191,060,681,614,396,
532,327,326,293,360,955,872,804,002,189,310,907,758,336,270,790,749,063,593,
862,245,907,870,816,393,192,635,630,811,592,179,569,436,073,914,302,570,913,
047,545,557,565,671,997,315,254,916,326,097,323,133,549,097,324,294,553,615,
063,082,613,888,835,242,451,970,854,365,561,868,415,745,460,482,992,395,686,
900,276,962,223,468,774,370,894,636,132,562,066,728,923,475,782,152,951,352,
583,279,673,847,722,116,211,485,399,713,882,441,273,766,939,053,338,791,674,
796,901,581,669,879,739,525,946,771,390,589,571,627,060,506,583,991,807,833,
081,446,731,334,900,129,316,990,647,187,939,636,207,946,527,787,369,780,680,
683,722,861,459,321,096,220,369,157,659,488,959,976,592,626,992,666,907,669,
572,729,598,973,302,164,473,785,537,843,404,349,644,876,929,641,676,692,968,
899,404,519,392,916,142,863,388,456,306,977,519,583,876,008,650,842,480,566,
552,170,663,086,822,544,278,850,727,113,665,670,782,879,247,130,223,343,083,
288,140,283,109,214,598,194,306,305,784,475,463,848,601,150,323,984,142,363,
592,001,486,648,628,379,856,387,262,394,694,072,850,963,158,280,896,178,394,
882,467,832,770,352,480,383,689,563,398,433,767,570,488,431,421,663,575,774,
401,546,397,748,467,526,393,121,623,447,651,100,488,514,389,512,999,564,636,
313,334,961,260,420,113,929,381,944,168,147,336,874,564,891,258,306,717,719,
709,317,090,895,205,595,881,700,290,843,763,541,339,759,519,144,910,207,674,
766,019,831,387,300,758,774,110,205,600,473,522,346,082,043,406,392,703,481,
387,115,212,580,758,418,817,736,183,244,100,128,355,264,710,072,124,109,051,
124,597,734,446,694,845,226,874,457,151,581,420,654,505,958,469,775,283,652,
453,687,445,970,071,843,763,223,514,687,905,245,210,343,131,224,889,349,292,
807,087,904,903,759,971,406,351,666,886,483,811,731,392,175,885,160,868,769,
656,730,504,916,943,217,853,000,623,458,296,688,226,249,001,535,937,469,815,
359,802,103,344,972,645,735,058,195,622,226,592,583,952,096,770,317,091,979,
588,064,123,290,537,957,025,221,876,642,872,524,584,170,491,259,170,025,343,
484,818,771,038,064,540,012,841,535,288,579,311,371,856,732,810,405,411,572,
884,042,040,516,619,408,051,603,117,944,204,139,494,498,287,395,183,679,383,
814,004,735,472,858,218,086,672,230,979,183,180,728,439,316,916,658,939,299,
384,542,893,517,543,497,197,880,960,049,031,177,347,076,368,429,267,476,984,
858,413,486,054,516,349,927,297,416,908,508,561,941,044,412,877,937,482,636,
179,691,800,188,300,354,522,791,717,010,202,882,906,953,719,672,280,165,094,
139,732,906,430,796,161,862,656,139,700,613,589,263,915,000,790,784,285,682,
557,483,193,684,737,151,645,728,896,203,192,086,744,918,825,396,905,486,953,
505,102,779,284,931,157,408,782,126,546,600,978,404,952,753,364,355,495,688,
389,865,660,429,756,749,813,154,969,498,514,110,035,323,323,124,694,353,249,
199,583,256,236,603,461,544,104,345,242,328,703,643,127,080,399,697,571,500,
821,060,968,570,941,698,648,193,827,259,340,572,563,363,491,993,875,179,738,
803,033,707,977,393,401,901,714,104,963,507,424,333,353,756,177,901,086,208,
542,164,643,553,454,619,510,527,235,695,124,475,617,418,462,074,585,707,265,
739,136,484,510,690,118,318,602,529,496,662,564,661,664,824,556,782,129,708,
216,189,769,294,440,831,588,222,625,385,149,667,784,395,516,468,017,973,980,
120,420,425,894,627,111,989,316,276,522,627,983,729,943,937,061,001,280,355,
129,958,646,817,159,424,907,417,582,148,826,372,159,552,440,502,998,952,403,
072,410,925,742,094,224,200,478,629,244,405,439,919,225,123,117,960,852,788,
763,194,369,590,915,094,738,223,087,675,559,214,888,050,495,958,626,278,074,
920,321,468,000,897,790,371,532,394,078,795,081,150,059,238,255,534,468,678,
710,298,605,364,144,939,521,435,192,377,147,131,152,746,904,247,246,729,600,
752,310,156,037,482,973,003,514,836,464,419,938,819,684,342,411,715,932,469,
216,116,782,642,841,064,157,700,499,470,366,309,979,199,265,358,993,523,414,
526,130,306,968,100,453,792,998,864,360,873,341,313,443,518,831,490,793,278,
071,308,421,476,411,593,866,947,433,401,336,430,949,546,286,318,483,542,191,
081,990,444,606,790,260,961,224,494,205,184,371,930,020,192,933,976,375,828,
546,975,085,061,299,775,844,094,113,711,484,646,458,667,606,350,544,902,783,
069,730,616,677,935,091,771,414,207,608,117,046,242,035,460,833,793,466,001,
721,699,956,317,207,460,383,756,412,426,556,818,869,381,646,245,719,545,913,
585,336,826,558,500,204,806,150,315,700,618,587,282,398,457,061,863,230,356,
056,929,148,674,583,095,740,658,087,854,893,430,250,437,746,570,525,461,108,
491,167,698,872,276,854,241,555,791,868,897,622,714,581,321,054,746,420,472,
789,585,402,153,234,768,425,031,673,636,074,399,641,104,125,181,484,251,832,
271,458,137,813,786,490,066,713,930,774,924,329,842,353,956,285,851,242,395,
017,892,698,667,576,345,988,938,681,553,404,395,570,817,547,881,869,600,242,
357,355,688,606,886,976,149,320,938,931,156,172,383,285,037,956,880,453,229,
339,061,095,635,498,395,724,572,202,909,523,732,433,363,895,879,727,595,815,
441,437,550,794,173,435,008,930,763,756,944,483,998,921,994,032,865,180,428,
480,386,759,142,373,393,904,435,813,030,652,726,117,078,027,696,769,295,197,
468,199,162,294,919,470,636,768,830,853,368,595,055,508,719,661,354,181,256,
748,950,076,371,681,903,421,934,639,152,417,444,800,404,328,764,715,460,473,
550,845,019,511,671,972,873,352,432,968,480,595,027,120,974,479,659,691,539,
229,554,575,134,741,705,592,436,044,491,480,246,198,322,245,548,940,971,702,
503,695,009,693,481,275,584,306,440,690,876,719,036,876,273,790,421,405,187,
001,321,666,849,193,068,290,047,301,379,021,188,249,704,810,833,196,284,341,
261,685,455,496,899,551,192,660,571,526,562,022,135,202,619,944,056,496,995,
824,054,113,838,722,741,320,024,727,439,380,922,324,820,511,071,218,186,413,
627,792,150,080,713,385,800,335,838,938,411,266,360,975,347,547,204,648,523,
721,592,400,068,623,133,317,331,673,510,805,906,365,345,976,996,044,432,865,
404,208,221,824,115,283,093,180,835,996,548,231,616,530,370,454,205,616,495,
302,289,321,501,530,004,989,561,439,285,839,913,252,739,830,732,859,510,042,
356,606,805,255,456,880,783,449,919,279,102,610,840,584,534,190,487,433,572,
642,419,783,968,210,595,544,350,420,607,477,695,304,768,397,231,300,266,385,
605,970,207,410,451,959,554,811,572,449,825,671,328,939,207,827,634,697,963,
328,455,650,176,382,944,811,792,934,654,258,287,945,796,720,302,945,188,916,
119,033,081,568,881,863,384,928,381,408,751,154,882,614,105,406,724,124,580,
212,880,401,704,953,815,026,004,857,630,406,860,825,068,752,537,253,195,211,
405,844,549,702,264,065,784,815,344,466,782,195,421,801,275,288,014,327,665,
792,821,070,334,533,624,077,961,159,239,396,320,492,021,172,189,653,040,150,
912,962,416,200,241,788,293,128,025,623,143,171,381,911,593,130,731,997,052,
159,859,146,917,445,877,606,528,333,005,807,984,756,592,806,199,837,080,537,
242,642,414,979,931,294,992,137,369,545,486,702,750,763,729,003,639,174,926,
003,856,734,300,888,692,315,403,288,458,920,781,938,450,568,906,476,009,090,
876,899,762,028,270,102,574,655,350,209,390,951,803,197,297,297,630,679,444,
896,950,590,172,326,593,752,177,263,421,237,566,328,434,419,650,262,590,085,
999,681,472,363,374,154,243,978,423,355,404,818,045,421,180,870,169,610,448,
197,251,176,044,722,126,717,062,442,881,431,866,680,151,995,452,393,886,591,
241,841,500,107,363,202,562,192,111,199,983,965,402,911,807,129,119,025,382,
288,837,397,466,199,680,126,781,217,321,460,822,614,262,561,001,055,138,578,
355,764,186,062,171,203,704,123,922,821,643,247,837,241,299,889,737,540,510,
804,994,274,114,082,502,902,173,104,351,195,716,835,991,057,086,616,052,033,
503,685,822,769,191,971,744,903,370,185,926,609,670,836,042,733,747,330,957,
162,689,176,867,798,781,479,784,719,733,872,177,740,702,022,196,620,213,731,
411,442,934,278,616,640,201,648,133,665,222,572,981,471,263,890,423,989,953,
210,964,907,985,497,020,262,464,831,345,245,972,009,302,149,836,392,397,819,
326,222,737,344,128,296,269,959,558,959,883,400,067,055,090,224,871,901,467,
729,900,323,619,051,502,036,425,475,562,148,366,566,074,189,863,197,981,965,
961,840,047,054,914,907,167,888,975,718,195,389,933,481,288,233,556,129,486,
254,528,762,483,861,422,639,017,202,570,569,999,548,934,410,745,333,600,554,
833,319,599,582,712,520,320,114,056,174,342,436,009,059,488,809,346,135,768,
612,647,729,782,822,527,487,478,886,663,330,413,821,502,984,562,649,272,476,
227,236,091,724,192,467,793,043,148,191,516,886,954,268,469,428,850,540,898,
747,481,465,371,398,313,404,640,685,838,377,822,742,326,181,410,775,174,579,
148,372,607,719,968,660,531,394,206,138,182,088,903,427,826,611,959,589,397,
324,590,015,668,710,053,504,135,174,795,178,478,186,101,452,256,950,981,810,
054,748,500,918,425,068,009,631,754,899,410,120,311,526,780,046,585,550,776,
580,979,233,289,127,277,521,920,683,846,435,548,585,906,833,180,428,691,621,
451,636,618,261,412,657,076,008,295,739,315,937,704,709,310,582,221,220,763,
672,578,647,292,180,337,944,587,567,715,206,748,811,499,696,033,165,164,905,
519,113,858,300,864,159,625,818,121,228,334,179,236,770,828,187,098,046,532,
315,945,165,789,635,710,197,991,328,559,118,616,362,741,755,591,841,919,242,
701,173,268,976,431,479,011,319,180,991,053,880,439,585,638,305,352,316,038,
913,017,823,005,775,968,539,472,966,874,463,336,203,552,826,818,757,426,896,
954,236,429,300,997,510,669,578,006,922,261,882,337,871,717,917,141,039,723,
093,970,174,626,435,611,966,978,623,951,208,125,322,500,252,361,634,749,516,
691,353,080,881,603,790,371,528,101,797,178,501,948,222,790,812,476,382,987,
309,702,789,765,460,580,492,684,933,570,515,253,688,404,728,454,437,343,870,
069,229,019,934,926,704,074,596,202,034,430,782,109,878,405,170,760,809,840,
892,268,720,429,662,126,105,218,919,972,893,631,509,894,181,777,319,843,182,
409,331,784,877,732,358,993,466,818,941,251,089,653,636,746,104,836,721,304,
014,522,283,938,510,651,380,063,523,885,305,491,435,742,179,052,834,152,198,
536,456,713,817,653,910,326,988,329,649,432,033,207,871,835,563,531,469,035,
184,254,858,534,187,299,247,697,915,136,271,574,453,792,452,130,486,262,260,
654,919,119,844,738,846,713,372,631,829,088,950,145,803,537,432,647,692,467,
084,702,612,478,805,327,310,798,807,956,795,160,895,439,695,388,475,668,999,
091,040,212,455,551,366,013,766,066,141,949,495,845,077,075,572,182,841,688,
296,557,166,356,845,397,237,919,806,044,835,463,107,122,774,948,549,970,442,
556,947,689,712,621,431,278,334,952,081,260,663,087,218,555,973,734,296,752,
207,017,764,997,783,650,834,882,412,344,357,191,614,599,535,708,629,808,392,
848,860,943,749,512,858,260,987,150,045,730,494,813,269,533,035,359,855,129,
388,768,185,591,531,422,338,272,037,050,427,989,685,417,933,253,526,493,399,
913,004,403,200,864,658,017,084,838,257,014,624,147,300,660,482,448,588,992,
912,310,485,238,362,252,532,755,403,627,138,344,560,202,090,913,081,463,296,
159,142,068,919,013,699,057,360,254,048,151,403,008,348,904,082,623,840,451,
990,712,700,566,774,991,251,027,394,652,038,568,347,482,623,112,020,036,509,
938,946,787,495,943,461,947,728,824,876,652,302,151,433,720,966,392,196,339,
401,377,193,018,382,566,244,710,867,921,947,720,390,762,655,498,317,968,577,
015,636,686,184,668,261,371,942,308,891,559,830,568,573,910,686,811,463,862,
338,442,438,527,137,816,614,580,483,315,982,161,386,135,678,462,524,545,397,
515,163,437,975,296,177,424,406,757,262,706,739,719,896,542,198,714,918,674,
848,314,868,734,377,391,132,757,019,232,336,245,565,001,089,560,977,477,092,
444,511,331,190,953,286,249,929,300,798,862,673,035,705,089,245,019,805,919,
732,482,248,404,637,407,308,192,400,471,086,734,732,010,166,577,070,248,813,
723,196,454,536,964,572,907,236,254,481,634,173,510,795,653,237,422,098,732,
348,143,891,024,982,198,885,463,660,504,812,603,810,326,799,262,550,598,462,
313,153,583,195,125,495,363,211,098,734,872,126,713,819,258,787,677,067,108,
663,116,357,610,979,617,341,096,576,990,605,650,964,314,825,527,055,060,495,
184,256,685,411,039,699,638,268,655,923,104,180,131,298,813,718,497,220,734,
506,791,516,366,886,450,434,525,095,007,946,898,484,217,013,762,458,100,760,
539,061,793,431,264,791,434,694,041,912,287,111,283,853,560,455,703,590,234,
845,698,199,778,504,611,547,168,143,301,497,042,248,368,721,376,437,250,015,
941,817,357,649,273,008,850,990,037,858,127,925,523,499,285,588,589,633,640,
862,149,324,793,921,946,279,953,173,324,643,229,886,879,081,262,190,222,465,
836,205,604,725,451,166,720,548,124,077,481,875,871,321,542,819,384,288,213,
422,090,661,644,294,340,838,447,841,289,358,542,124,050,153,584,157,603,660,
570,680,710,105,799,092,207,352,013,394,699,832,403,168,959,639,200,568,397,
663,213,238,473,594,840,628,651,743,334,076,829,979,184,737,728,894,751,605,
766,325,149,599,155,477,620,328,345,478,529,178,934,987,572,283,258,481,282,
667,649,318,622,656,924,851,874,672,256,270,362,271,434,374,279,447,778,506,
754,008,886,118,028,669,212,535,268,493,782,238,010,854,033,587,212,051,320,
203,760,396,164,930,351,708,804,972,285,190,669,215,417,307,853,577,325,778,
628,332,195,882,147,374,308,099,434,503,876,285,785,611,657,874,346,387,051,
608,601,108,173,042,596,855,978,947,517,422,909,030,468,995,037,520,603,529,
256,146,333,694,425,413,009,297,784,227,111,725,875,523,299,791,098,489,035,
354,955,900,085,201,506,144,108,055,218,695,289,707,796,467,390,643,555,167,
567,064,059,823,427,728,656,061,487,386,590,894,979,096,413,448,425,391,563,
007,466,627,644,071,990,109,941,935,050,760,038,025,899,881,974,759,900,649,
799,515,078,857,438,299,431,649,948,760,894,145,573,314,072,963,764,206,863,
768,845,722,933,090,007,596,688,253,684,055,322,914,660,341,795,229,104,152,
798,914,827,494,547,956,967,228,433,723,960,845,298,455,858,333,656,347,894,
088,549,234,363,274,996,191,699,464,491,936,625,823,080,793,761,645,850,552,
985,050,976,422,085,407,087,438,781,556,530,896,364,100,751,216,846,967,671,
732,098,492,088,593,075,458,677,438,986,733,328,304,329,769,644,950,168,298,
396,836,986,741,949,791,558,452,870,693,459,587,418,765,653,094,888,652,604,
065,304,108,951,775,360,681,275,578,756,638,751,395,220,025,263,473,304,043,
011,930,587,058,547,709,660,668,195,549,002,356,069,424,210,471,670,622,022,
930,356,290,468,447,003,714,454,616,873,135,399,402,287,389,224,443,149,674,
557,783,125,864,666,082,839,112,567,893,538,869,273,627,020,809,193,543,064,
257,927,635,907,279,734,742,391,613,103,556,584,050,831,295,882,191,470,477,
966,868,949,118,427,821,027,094,206,767,466,816,145,529,758,159,332,474,768,
200,184,083,070,288,198,156,605,830,095,349,904,091,771,237,989,491,173,747,
107,642,540,077,628,284,147,457,446,583,828,416,667,358,607,842,181,906,122,
264,477,147,454,598,684,376,556,128,582,090,197,006,422,755,509,691,923,704,
377,646,027,894,079,940,235,778,012,267,124,029,441,356,808,412,772,166,978,
097,117,779,212,330,334,129,180,025,458,929,395,872,513,993,908,017,918,471,
577,748,272,746,795,709,212,847,461,959,154,620,660,041,827,837,821,824,513,
138,248,847,798,309,660,612,257,780,284,905,915,601,130,201,824,976,744,834,
733,947,800,564,355,539,348,236,029,221,075,681,806,832,374,872,612,053,535,
040,518,881,400,956,457,227,702,794,039,177,302,541,206,422,693,609,466,547,
325,258,135,762,967,488,395,064,786,623,815,967,756,550,933,963,779,699,109,
531,759,186,593,830,678,961,722,664,925,154,540,421,682,196,650,523,724,365,
849,617,103,158,812,434,063,066,856,061,000,255,266,304,829,536,510,582,382,
622,109,242,462,452,876,143,883,346,275,643,179,436,066,637,073,260,655,694,
093,091,151,682,246,403,063,456,940,589,964,297,991,275,073,315,137,814,910,
251,326,787,668,811,379,516,575,664,619,918,796,819,928,857,132,702,172,350,
387,008,841,990,318,618,303,040,810,876,316,497,377,646,384,285,947,104,624,
660,237,151,163,064,414,438,941,284,519,801,315,405,705,571,185,056,837,123,
736,589,311,967,319,633,593,956,379,648,389,721,551,560,407,534,880,909,090,
441,968,806,613,302,113,909,386,962,585,289,945,875,144,789,010,627,007,910,
484,974,244,627,602,202,618,097,375,266,831,612,684,084,351,164,043,445,750,
695,090,276,125,265,511,941,446,007,733,789,097,364,434,924,293,553,563,733,
945,100,590,976,096,663,467,252,465,083,542,277,795,805,918,677,191,420,552,
209,912,356,065,441,153,097,126,758,281,232,479,398,355,270,522,450,545,700,
838,945,072,892,736,702,539,571,398,141,382,577,181,246,697,594,106,160,180,
646,943,968,960,204,099,514,170,040,738,105,705,054,006,414,272,455,834,351,
378,686,465,695,357,047,503,644,646,171,499,293,067,241,456,162,105,699,622,
650,596,526,452,728,308,419,096,788,218,013,330,891,745,502,546,785,104,041,
675,797,588,419,419,601,335,286,980,124,370,269,377,752,893,981,316,760,112,
746,970,251,918,483,210,643,108,109,464,701,216,969,956,532,241,789,257,986,
842,631,408,969,329,223,383,736,370,601,701,325,399,029,187,067,745,086,318,
156,387,432,807,016,704,694,301,797,594,119,437,088,844,439,663,126,169,421,
248,035,022,533,037,040,981,596,196,916,924,969,740,977,160,517,628,904,159,
020,005,314,108,667,129,747,232,483,238,657,631,944,008,543,959,777,413,232,
827,348,736,535,242,513,438,063,656,965,156,736,298,088,527,991,778,402,555,
331,266,034,224,654,912,703,864,246,283,152,012,670,067,089,586,776,687,849,
512,834,306,318,481,341,592,374,839,064,551,345,919,064,251,070,951,349,806,
481,108,942,428,608,743,014,780,167,808,998,009,057,235,589,395,795,532,387,
413,425,359,492,689,883,597,637,346,347,446,735,133,277,855,002,628,426,064,
140,091,539,574,917,370,488,987,423,237,159,632,351,509,877,765,815,112,119,
182,688,905,270,656,806,634,708,070,083,481,590,912,689,558,099,568,070,577,
529,173,867,774,852,274,805,725,068,405,242,207,642,638,294,050,428,484,346,
284,973,998,205,984,989,078,304,462,632,620,632,097,827,751,219,565,736,715,
390,671,988,119,284,630,403,745,446,364,320,353,772,075,848,768,569,124,423,
993,935,438,808,108,021,840,467,097,754,874,929,203,685,495,603,979,440,479,
716,784,008,391,183,906,546,424,135,677,600,924,606,323,146,803,477,541,346,
501,396,908,159,580,486,698,269,558,238,094,503,370,537,686,106,876,311,238,
846,007,966,159,336,808,089,035,391,667,096,492,165,995,329,172,902,939,363,
041,298,687,890,643,156,144,232,358,065,300,541,055,895,087,485,099,957,351,
146,457,238,884,096,115,125,996,472,079,673,156,593,908,492,600,180,051,106,
538,911,682,140,744,395,412,864,190,355,292,719,554,986,274,766,725,265,414,
792,986,560,216,441,579,182,536,526,585,711,720,124,514,066,966,406,273,607,
335,394,752,460,908,081,605,195,324,535,188,168,301,296,721,128,578,470,934,
719,871,052,949,610,668,161,614,554,682,959,514,206,556,788,018,942,587,531,
976,322,755,902,590,806,137,838,038,751,430,907,205,895,093,338,908,783,357,
067,373,426,671,195,731,460,484,498,403,050,802,454,258,785,838,803,482,000,
954,863,768,179,960,662,565,840,461,636,002,407,795,850,846,719,829,138,906,
126,689,697,758,045,936,539,645,867,049,242,967,149,882,305,722,048,920,443,
802,900,673,247,686,953,340,860,450,981,299,016,168,061,974,348,495,028,358,
425,559,835,446,422,806,943,410,994,858,076,138,869,899,008,506,356,324,835,
780,033,044,009,996,268,059,625,541,287,704,173,024,403,822,421,941,815,533,
007,665,701,396,941,018,220,406,995,877,001,015,855,237,508,966,566,550,139,
365,207,212,384,696,364,976,856,925,560,488,864,270,862,303,074,004,347,268,
686,749,975,936,620,210,490,244,208,870,257,320,834,322,848,224,400,394,936,
346,179,657,021,474,755,622,102,103,712,895,628,654,417,578,909,629,237,666,
607,926,417,661,057,704,209,341,226,419,575,503,604,946,024,812,187,402,551,
816,263,590,661,487,710,244,199,730,804,937,657,510,639,647,943,124,486,559,
697,355,860,214,793,828,658,390,224,863,221,384,410,918,949,959,762,480,013,
895,206,693,902,964,136,122,022,354,174,642,373,432,840,542,938,978,082,087,
916,047,268,398,311,199,984,236,304,049,659,354,373,530,401,205,571,499,345,
363,620,327,150,021,178,888,417,571,180,023,770,713,969,238,116,771,394,574,
373,369,302,163,774,457,043,857,851,089,650,769,971,928,048,270,009,339,644,
324,397,826,455,029,474,858,313,626,586,041,025,744,730,545,447,085,859,150,
655,737,055,784,796,098,013,641,557,552,501,332,728,531,378,051,527,796,364,
958,300,217,394,789,788,031,350,700,494,690,276,059,578,974,426,862,871,845,
106,684,009,251,437,069,582,464,251,869,775,793,130,235,360,804,930,464,505,
985,513,609,195,757,728,277,109,268,545,239,519,879,679,398,273,556,229,710,
236,156,183,752,890,820,134,583,484,840,382,100,839,225,140,819,372,334,177,
397,488,125,247,921,101,579,431,009,153,159,333,841,991,905,205,345,333,063,
507,478,664,109,753,310,798,248,793,408,760,205,172,963,208,181,388,907,870,
298,035,729,613,664,376,608,762,191,496,586,182,910,095,836,758,407,659,127,
244,178,280,250,128,435,275,404,822,752,282,786,475,141,933,957,514,466,434,
328,396,297,829,973,153,882,428,782,589,647,817,883,423,223,385,407,378,762,
645,576,196,221,127,822,049,889,985,328,259,813,045,450,603,299,351,157,112,
134,203,695,120,012,696,448,240,386,367,489,435,619,128,937,753,517,076,105,
494,240,040,629,880,875,463,287,776,981,175,579,307,302,301,050,285,152,814,
910,857,926,448,002,373,853,372,083,436,047,314,661,321,260,784,630,361,412,
827,978,454,667,330,009,619,400,781,168,662,474,390,666,011,394,083,430,302,
875,516,470,963,407,599,665,152,076,490,756,471,091,902,426,483,098,292,573,
253,282,312,420,761,194,698,379,189,186,166,132,657,720,863,775,100,200,621,
960,996,623,151,443,029,259,201,336,439,532,776,912,811,453,688,184,458,499,
598,341,473,918,659,532,142,989,726,093,596,893,994,076,710,417,842,732,452,
436,673,249,070,121,530,197,953,118,281,631,278,363,780,418,528,044,561,323,
300,350,369,854,953,118,174,184,572,872,262,576,628,558,270,912,196,891,452,
090,884,610,889,132,706,109,796,768,777,605,656,007,304,272,375,114,804,540,
435,035,258,705,748,032,385,457,489,311,604,444,218,358,010,046,489,009,382,
102,338,109,110,177,505,087,635,825,501,313,203,791,641,887,268,499,253,896,
890,239,325,118,054,203,389,052,225,800,454,872,406,558,734,247,427,619,722,
603,844,647,553,656,010,406,203,815,714,659,291,426,547,840,622,791,843,750,
317,921,827,514,525,327,052,523,185,817,668,902,379,311,052,058,864,374,288,
816,223,281,034,142,354,028,907,587,109,568,584,875,379,094,619,096,354,874,
472,140,251,152,566,213,016,080,725,349,753,965,173,761,808,535,276,196,452,
138,576,655,153,938,111,189,881,201,359,103,554,406,491,768,107,416,384,014,
673,044,004,026,977,974,642,627,256,026,071,154,315,444,318,614,995,620,608,
454,267,614,139,656,013,260,024,290,352,504,132,818,419,406,429,032,067,610,
258,190,508,247,101,276,161,162,951,613,723,595,124,803,809,366,939,684,695,
402,953,766,387,038,983,038,261,590,488,455,122,769,305,176,853,920,467,695,
140,587,703,864,548,810,139,427,689,230,394,029,853,333,593,686,046,103,749,
478,999,847,130,026,700,677,725,493,426,617,846,400,623,841,867,049,812,760,
066,361,170,476,697,162,116,119,255,107,935,977,522,984,272,443,912,603,156,
934,308,504,879,247,390,047,083,703,010,528,410,899,945,178,224,806,562,729,
706,253,548,611,650,443,915,711,497,236,754,140,862,052,892,673,201,181,489,
534,374,517,474,204,655,430,505,402,908,422,883,477,780,383,093,089,834,711,
030,065,566,865,865,912,981,180,208,128,804,525,067,162,655,164,450,249,971,
034,389,298,171,848,406,038,083,191,746,505,855,291,770,588,079,469,378,562,
769,128,326,882,356,498,230,012,430,991,021,619,415,025,991,901,635,929,839,
887,763,959,201,329,170,014,507,407,205,133,239,089,183,119,039,363,358,865,
110,571,048,366,732,136,238,170,562,205,543,968,039,869,844,707,458,205,399,
330,772,411,791,448,672,143,742,526,872,492,330,504,210,078,526,709,494,343,
216,485,221,514,841,956,220,176,965,115,072,627,061,612,055,482,006,258,684,
488,843,784,750,341,437,622,927,416,577,332,596,419,764,888,556,376,037,811,
346,308,154,856,930,371,219,741,567,428,922,962,459,458,984,956,145,839,060,
213,321,406,169,541,376,509,932,574,233,385,124,315,548,714,148,408,183,011,
685,356,375,650,255,030,328,852,915,926,206,784,287,649,146,486,167,404,545,
317,340,034,931,194,173,854,535,106,376,742,395,022,593,252,141,704,846,276,
449,282,616,244,393,749,144,471,675,365,204,862,628,164,277,913,034,162,756,
378,622,469,954,294,394,972,910,146,895,190,386,291,334,509,559,284,218,351,
640,096,972,745,980,600,528,840,293,092,883,450,140,728,372,564,923,145,464,
406,761,702,766,636,484,352,112,286,663,324,019,232,808,061,353,599,927,362,
223,231,287,225,367,375,929,935,649,394,918,756,739,257,813,178,120,553,952,
166,142,079,175,624,904,514,857,550,989,533,484,629,201,986,959,055,851,922,
000,622,872,365,931,217,234,991,723,882,242,975,278,450,758,657,564,115,659,
904,983,305,030,461,005,429,447,363,154,106,929,915,608,546,440,374,109,012,
709,140,267,164,039,645,567,723,894,671,694,864,014,580,433,056,809,938,349,
491,255,012,072,925,242,735,017,803,043,012,258,727,640,734,702,519,809,724,
094,906,357,823,802,652,631,000,264,421,752,754,102,428,643,359,800,460,775,
676,187,921,333,606,883,646,354,768,790,967,830,328,482,767,272,984,389,856,
150,743,826,402,996,644,771,493,520,361,392,604,586,349,552,352,648,851,546,
371,644,537,570,450,577,159,506,101,332,121,907,361,971,474,985,448,230,604,
466,365,192,195,096,664,936,608,814,063,855,576,730,959,251,124,738,415,386,
635,480,486,473,198,777,059,927,243,978,003,342,843,380,312,268,534,751,425,
234,784,135,718,847,531,635,436,146,730,620,608,515,832,759,936,605,626,630,
300,452,102,962,875,292,420,956,721,855,778,077,199,349,151,474,555,742,191,
590,274,368,552,099,650,750,671,066,355,412,541,141,896,429,613,341,977,842,
541,606,455,999,172,772,368,060,862,804,150,020,631,447,944,003,238,794,829,
040,763,738,603,120,698,090,169,817,779,439,911,282,104,624,032,157,934,896,
200,614,657,774,324,176,381,251,679,004,347,124,965,267,572,405,582,567,908,
108,967,885,600,833,089,745,632,615,790,507,087,545,976,280,785,580,397,474,
312,103,998,500,804,911,972,960,309,362,687,843,631,078,520,287,409,288,020,
473,531,395,727,796,813,475,705,176,572,922,734,210,197,478,129,625,666,243,
935,769,918,440,675,302,554,501,168,045,826,352,123,385,139,104,799,454,906,
429,804,102,076,795,654,938,550,481,861,996,249,257,931,083,551,396,191,870,
071,058,624,473,277,541,920,684,981,820,094,071,840,592,198,587,507,312,232,
202,592,025,298,934,127,101,275,280,600,291,301,876,242,665,003,840,093,908,
471,430,896,736,842,926,074,550,335,114,197,918,492,002,633,203,818,905,966,
547,221,626,241,764,057,973,240,167,265,550,913,072,271,856,397,405,781,112,
165,334,282,461,076,139,678,996,196,731,423,096,461,363,708,967,356,356,570,
689,198,031,617,353,786,334,853,092,200,587,232,895,289,263,559,040,860,975,
095,235,297,154,004,532,345,641,665,733,558,827,716,186,849,021,031,720,462,
386,128,871,920,739,190,655,339,210,524,778,115,122,897,848,395,323,580,239,
621,270,647,914,850,153,101,522,600,607,875,159,446,082,559,431,170,496,020,
468,006,950,554,425,485,081,275,502,680,676,043,920,623,168,235,024,474,386,
859,957,403,386,338,580,781,176,283,851,798,079,824,329,472,414,578,963,780,
064,538,083,319,036,212,791,471,281,085,816,467,617,991,580,349,950,720,702,
581,924,253,757,873,693,894,831,002,594,926,481,771,914,964,936,008,516,971,
418,682,345,489,591,255,757,484,435,714,238,853,249,334,181,158,388,499,385,
541,586,453,455,926,521,236,860,083,759,746,401,269,007,273,486,343,481,368,
673,103,406,574,509,103,439,058,460,696,061,858,602,294,997,930,809,900,047,
919,366,870,860,301,287,362,179,775,440,583,877,499,576,462,764,888,329,120,
060,618,677,700,708,459,214,684,080,183,211,164,429,888,129,868,172,499,306,
478,000,700,240,355,201,968,422,327,677,816,655,857,763,574,699,987,907,351,
870,449,535,410,460,819,730,643,932,001,473,650,954,494,774,129,775,030,371,
594,430,676,544,937,602,402,800,038,422,185,811,183,325,909,066,921,731,177,
505,418,659,901,726,811,256,108,314,813,702,047,828,791,948,271,616,460,944,
284,750,497,042,443,276,315,590,739,496,468,188,099,291,008,754,175,468,722,
346,765,083,293,551,796,935,079,726,800,345,442,723,686,926,207,805,322,308,
505,748,795,897,135,825,603,040,688,609,128,861,516,617,854,727,184,475,451,
791,170,289,223,222,525,420,958,194,989,499,560,296,335,881,211,350,921,531,
275,093,510,196,161,923,522,029,197,213,310,909,098,823,237,957,568,223,291,
217,745,595,368,304,028,641,977,635,256,324,866,931,717,248,338,731,788,761,
908,561,429,972,151,086,856,442,431,738,075,641,331,123,546,089,786,978,515,
667,276,815,752,861,310,818,851,507,937,976,319,177,164,678,966,639,593,889,
758,817,441,660,247,525,678,045,956,594,602,571,587,473,210,289,569,345,266,
139,539,788,238,375,880,538,646,229,168,226,122,426,257,523,172,084,633,917,
088,516,714,197,058,381,052,189,420,416,050,651,850,625,909,023,672,367,801,
152,605,307,572,604,445,914,087,708,212,121,675,820,924,214,224,551,712,912,
895,541,769,144,143,060,056,778,750,563,820,608,739,844,069,526,846,123,359,
272,800,202,232,444,707,883,376,079,403,693,567,251,763,654,496,855,416,092,
079,725,119,658,562,790,223,393,545,162,231,011,800,599,625,555,272,882,705,
519,422,325,644,516,242,964,904,047,308,506,036,707,772,616,505,048,701,649,
093,964,659,110,674,504,919,398,910,143,313,343,076,604,657,504,873,088,120,
805,658,863,197,146,862,783,086,499,748,068,675,157,572,952,611,380,624,672,
683,310,249,411,883,537,562,868,282,007,897,642,189,953,348,863,888,475,019,
749,685,562,647,415,672,897,539,102,782,776,391,658,064,574,449,657,520,138,
303,798,965,158,935,139,822,105,944,487,195,860,229,120,332,182,839,623,945,
991,388,091,863,868,280,806,959,613,525,439,008,504,964,126,460,113,338,466,
892,420,760,718,924,135,560,815,021,049,410,289,865,189,400,446,951,275,028,
077,609,654,577,771,994,178,134,395,681,587,257,835,760,879,006,553,278,660,
373,247,206,762,416,907,838,463,209,346,568,670,096,620,564,226,817,994,614,
554,395,894,026,735,027,937,443,473,084,754,820,251,002,388,529,844,646,687,
985,802,168,319,040,758,325,815,295,520,543,150,362,134,361,446,845,877,981,
449,533,801,717,460,066,377,443,224,413,906,680,082,705,904,115,604,184,924,
451,623,518,839,132,490,873,054,213,542,981,776,649,821,965,608,933,226,444,
711,620,754,076,743,343,386,804,073,356,322,626,211,264,968,539,350,417,216,
673,962,105,843,661,702,941,332,098,266,062,726,307,533,800,878,601,973,387,
802,298,742,705,602,011,069,308,670,918,549,140,494,143,604,981,190,164,771,
465,238,582,657,961,380,169,952,783,485,794,359,513,309,833,017,800,758,989,
822,089,416,829,802,538,849,499,143,433,692,786,439,045,854,272,114,927,852,
620,870,629,996,646,514,496,866,150,482,699,705,412,734,878,088,427,978,062,
628,942,092,515,709,612,111,173,121,600,704,917,628,366,944,636,603,806,733,
295,633,566,614,814,003,506,168,524,736,428,618,691,378,379,974,188,393,181,
561,976,293,329,532,075,347,723,592,274,187,848,840,779,324,766,962,623,922,
719,891,267,535,982,250,563,167,767,685,757,856,692,228,195,190,108,294,596,
407,231,842,708,190,016,338,115,976,206,613,977,976,785,491,084,840,354,071,
122,707,660,305,718,130,607,822,513,905,838,046,669,090,429,052,598,162,024,
973,251,371,545,372,737,370,904,491,582,021,605,565,662,834,103,684,531,906,
620,021,920,639,218,753,351,043,364,831,861,267,639,915,296,695,120,239,821,
300,664,698,299,507,897,566,916,940,381,173,388,695,558,341,421,370,650,685,
417,430,421,471,546,666,082,468,611,056,734,179,060,814,551,235,700,737,677,
607,594,233,870,823,368,394,100,054,998,513,866,466,569,321,813,450,453,442,
621,385,219,078,525,064,862,173,279,500,699,611,462,175,178,171,685,222,717,
414,742,074,100,435,364,345,783,450,644,883,024,992,215,150,024,768,671,299,
712,286,476,800,970,685,113,823,254,605,018,627,848,519,593,731,615,161,236,
726,026,496,076,068,160,123,068,859,500,478,881,342,109,310,750,731,406,020,
470,567,838,710,393,573,599,362,888,330,407,256,709,488,078,941,468,789,411,
183,457,306,565,293,465,085,232,500,398,358,499,487,665,891,397,083,814,903,
160,028,226,562,648,959,690,836,735,015,006,848,637,037,343,020,333,812,301,
923,120,211,138,717,838,201,139,823,492,236,624,543,495,795,708,487,040,587,
586,523,488,099,978,513,471,134,453,507,487,778,694,271,088,935,276,187,240,
797,177,121,920,564,734,368,059,900,912,328,481,813,662,378,918,563,233,068,
065,222,460,423,438,177,260,799,720,556,117,366,145,041,409,454,469,317,181,
611,735,947,068,110,125,203,274,735,678,001,889,300,758,687,781,909,567,393,
824,208,006,083,723,227,231,422,540,120,098,235,301,879,183,710,890,002,479,
092,000,211,133,299,548,907,482,165,983,661,001,882,704,483,847,019,924,586,
942,035,380,195,225,912,502,582,234,601,640,775,585,128,277,986,492,857,511,
995,406,021,580,585,881,891,025,964,737,818,679,115,003,439,889,814,208,602,
490,321,449,115,196,925,155,421,098,590,134,492,850,021,029,186,082,274,030,
197,528,604,446,247,117,522,877,788,253,633,155,156,579,900,204,913,878,151,
068,989,199,608,698,398,821,295,741,762,681,056,229,347,921,277,261,901,049,
882,252,751,432,307,224,370,900,055,080,819,388,618,897,413,492,145,063,010,
171,567,036,930,476,140,517,597,623,335,801,013,953,289,558,986,612,405,040,
707,973,261,008,154,846,423,360,211,134,691,652,136,012,208,664,878,008,061,
694,895,843,146,126,018,879,329,165,899,234,867,216,367,806,396,848,774,155,
322,178,212,841,131,321,588,377,658,860,250,295,608,178,813,651,150,458,975,
862,608,276,645,927,805,250,434,908,554,504,756,618,681,106,610,443,613,387,
386,219,046,585,489,369,506,109,902,146,144,780,032,424,876,779,765,042,786,
669,749,806,277,513,528,388,099,958,463,710,427,141,296,630,231,550,117,507,
587,209,544,150,614,418,999,518,346,254,412,208,293,464,864,191,145,151,410,
344,709,814,480,873,382,526,157,306,440,269,346,162,822,155,286,737,276,456,
984,631,812,764,643,805,402,866,874,260,061,124,744,870,134,270,645,147,095,
523,167,223,227,335,383,352,638,793,623,140,362,511,832,481,442,632,507,744,
801,513,596,660,013,042,511,400,739,693,991,987,976,162,766,667,856,125,823,
812,190,689,953,303,629,123,076,883,665,625,916,843,686,883,716,989,925,458,
939,998,542,818,535,352,246,709,152,515,772,991,615,907,856,103,147,964,737,
246,642,574,833,081,245,370,582,546,623,379,985,256,800,222,306,741,114,190,
760,640,640,357,549,111,723,096,293,205,783,234,833,044,171,420,244,829,737,
834,968,001,661,493,574,308,117,250,524,968,854,857,485,831,392,905,174,195,
614,767,175,971,085,835,425,319,955,807,346,268,064,536,267,754,981,606,215,
858,844,910,905,880,515,406,907,090,520,023,248,908,995,480,577,430,609,813,
075,489,832,345,182,733,072,991,847,699,675,505,606,613,415,600,692,370,140,
647,041,764,759,784,362,726,041,133,216,747,093,177,818,010,403,449,357,170,
181,402,700,438,750,958,875,640,394,015,196,505,189,582,665,237,396,315,669,
574,089,720,557,772,051,116,283,915,401,019,342,480,139,182,618,563,473,020,
797,234,358,778,682,451,344,022,705,270,412,074,376,281,483,534,900,417,422,
197,437,420,885,434,976,848,233,151,273,814,892,926,718,390,865,688,351,938,
858,730,555,101,562,189,899,600,162,071,062,992,052,818,952,521,172,928,280,
572,037,484,210,582,145,230,221,373,500,936,331,426,803,506,786,725,264,618,
974,402,359,367,185,147,499,869,682,399,402,508,614,447,476,542,532,486,637,
925,579,812,931,383,529,273,691,842,486,498,467,009,909,397,497,756,221,064,
828,621,199,921,711,535,641,232,826,710,797,083,985,236,665,547,870,285,152,
987,895,890,170,620,354,237,306,951,603,392,697,061,148,445,444,841,367,158,
694,220,251,102,009,229,942,456,639,232,894,551,355,199,356,175,566,218,053,
693,249,258,315,206,384,017,461,919,911,021,822,503,575,821,194,860,913,563,
243,116,201,428,608,638,038,482,151,191,492,460,914,594,489,148,364,225,468,
194,111,312,771,747,068,411,044,801,123,580,716,076,426,741,309,762,266,286,
678,383,305,773,345,389,295,778,761,223,369,411,208,018,282,506,947,441,706,
823,325,758,037,120,191,786,216,854,365,187,530,184,508,875,377,715,705,157,
662,620,651,995,844,985,207,654,068,281,844,771,447,574,338,984,758,032,723,
574,948,709,917,174,920,342,512,702,721,227,068,688,814,991,050,895,044,913,
153,725,001,671,356,373,375,008,458,971,327,538,678,777,816,083,849,350,434,
945,739,192,338,238,909,324,254,261,478,939,840,894,391,365,780,411,467,803,
255,828,022,829,103,451,188,396,565,506,712,525,534,164,469,292,869,169,750,
563,684,404,588,532,162,826,915,449,274,512,090,026,546,103,672,181,643,677,
862,628,596,744,794,147,713,620,006,661,966,166,106,227,868,862,687,089,491,
104,124,264,632,961,926,502,490,613,824,510,424,997,128,918,702,727,226,166,
000,760,477,350,642,731,043,194,303,347,708,555,564,992,778,535,550,911,310,
532,579,277,492,818,732,242,925,056,780,522,132,862,153,766,981,342,029,155,
369,520,682,927,437,931,803,620,713,911,192,259,408,418,566,615,376,232,249,
948,810,978,956,690,409,992,638,317,633,557,682,087,332,222,587,548,639,989,
586,948,322,643,451,140,052,565,254,811,436,571,524,556,211,409,148,794,979,
658,968,075,153,494,573,492,730,045,483,858,470,944,652,810,664,278,570,884,
809,833,017,511,096,929,938,840,693,160,186,308,699,643,962,971,332,827,093,
916,060,275,227,171,310,863,937,495,955,600,622,241,194,134,145,658,959,924,
428,203,950,778,481,588,079,965,253,572,630,052,169,591,880,779,479,186,793,
254,746,603,549,111,066,918,540,306,971,247,828,578,685,013,591,909,484,958,
943,945,478,397,123,879,182,625,204,172,205,194,800,673,346,607,198,359,065,
476,508,784,716,212,013,605,936,868,211,742,383,072,172,022,756,031,824,785,
707,864,367,663,534,985,037,524,907,856,221,423,026,080,549,856,199,627,930,
223,366,306,462,255,076,115,618,295,428,632,611,452,035,532,539,702,776,222,
476,279,372,757,556,951,267,396,720,370,456,546,939,085,307,008,099,685,720,
681,147,366,007,475,395,695,331,877,161,319,012,742,127,777,925,412,908,752,
469,824,169,428,208,811,795,599,667,738,907,141,084,290,919,417,035,956,689,
582,425,021,167,449,346,708,775,580,678,653,738,451,570,405,774,282,179,786,
238,461,627,966,241,973,518,590,124,571,179,498,170,052,005,055,581,079,838,
503,437,725,352,210,770,948,693,971,985,095,899,627,804,830,304,861,809,014,
633,677,436,995,053,847,010,191,282,259,579,408,252,142,425,680,483,814,412,
863,285,933,894,660,269,234,800,858,304,878,893,994,582,740,323,112,864,377,
688,611,893,905,638,482,940,053,264,195,271,155,141,834,154,630,506,117,440,
801,456,916,470,479,232,288,451,898,489,060,520,739,918,223,301,218,080,299,
357,561,662,822,527,148,850,813,587,238,086,575,331,564,538,857,209,245,622,
385,881,434,920,894,805,065,654,352,408,035,543,910,348,032,402,153,958,280,
602,953,613,756,865,577,583,836,798,869,239,874,073,124,969,237,270,211,644,
262,328,863,321,351,691,130,069,632,522,198,340,088,960,965,195,678,756,857,
222,464,761,278,478,332,036,633,757,609,083,802,065,988,325,761,837,796,707,
136,826,485,172,571,004,360,754,743,976,579,903,504,316,906,604,865,674,833,
308,409,178,591,109,650,922,769,365,604,614,047,563,793,354,366,625,479,515,
988,529,766,782,372,385,268,478,156,726,991,565,985,407,499,747,545,313,300,
416,729,075,494,010,767,656,467,815,993,269,410,129,927,644,729,972,044,899,
468,552,632,454,781,687,454,412,407,983,046,278,772,909,364,070,470,270,518,
118,900,258,273,484,273,381,320,387,261,880,331,900,216,392,175,097,351,669,
341,260,675,478,782,804,867,307,595,449,900,818,838,452,235,536,328,196,834,
981,131,239,432,124,681,689,740,167,424,229,328,418,678,441,568,853,768,660,
471,443,160,161,912,636,798,419,555,610,575,834,557,848,143,578,918,460,530,
797,099,627,773,407,586,663,008,730,584,044,082,127,669,115,419,715,819,650,
995,929,120,326,161,590,129,620,913,378,299,562,776,210,305,232,623,528,276,
866,694,940,676,099,751,288,553,886,244,895,205,215,151,213,023,349,343,965,
949,495,937,165,389,963,079,884,341,726,744,469,277,657,109,944,072,897,652,
085,390,537,293,702,287,010,494,661,033,820,412,605,906,760,398,936,118,980,
930,886,446,294,671,253,442,566,692,543,305,474,988,447,208,887,706,462,449,
055,297,359,483,523,496,377,828,807,526,160,490,241,605,732,408,318,578,842,
825,294,416,527,433,478,851,781,661,496,390,702,482,757,222,745,143,319,228,
383,224,841,997,406,915,075,111,403,104,786,852,823,713,546,139,243,468,472,
671,248,923,972,247,883,687,898,890,171,612,518,348,432,768,634,393,281,558,
837,484,945,869,306,567,579,753,582,046,510,064,888,664,707,644,832,770,209,
669,109,880,534,744,383,097,516,862,227,552,379,612,162,793,803,835,741,854,
349,253,193,609,297,120,585,258,116,784,021,883,077,978,952,323,039,089,361,
673,110,797,637,695,123,755,744,581,857,544,922,419,755,212,493,421,243,711,
850,151,145,528,880,871,262,049,935,155,178,395,968,035,338,822,590,338,432,
198,503,637,261,084,023,213,544,178,105,457,002,210,710,256,427,902,924,355,
807,268,079,779,941,365,693,530,711,010,308,655,330,057,302,628,365,496,283,
970,557,110,514,921,061,678,464,358,947,559,072,291,383,825,041,254,431,933,
075,744,472,427,215,229,031,968,022,072,468,327,668,120,601,298,453,078,889,
396,297,767,701,805,274,840,647,048,499,839,434,183,221,325,018,361,799,265,
416,162,339,284,385,239,579,383,012,647,716,157,767,326,093,658,892,371,559,
698,217,954,086,640,107,221,342,690,731,123,625,056,601,811,509,589,025,222,
917,966,581,262,617,870,510,530,010,558,565,254,958,037,705,221,489,268,167,
430,245,848,616,420,989,810,653,607,829,985,751,052,345,493,615,379,976,260,
367,105,832,864,722,844,802,706,433,819,958,031,964,501,048,480,186,123,380,
558,207,933,245,937,091,912,975,528,882,158,146,784,482,953,106,930,414,719,
252,436,034,696,593,387,177,267,321,803,967,010,720,752,535,048,374,591,914,
951,292,339,949,242,007,742,356,613,926,556,105,295,785,881,014,808,515,022,
188,647,308,637,959,249,593,248,718,720,138,694,677,362,944,305,361,371,206,
902,522,677,804,418,916,478,594,622,643,940,836,578,775,302,149,282,565,701,
028,107,099,401,207,699,887,638,892,094,052,533,955,552,391,278,496,679,664,
854,642,018,590,692,206,611,464,457,189,411,383,061,385,774,440,417,008,324,
602,294,423,387,290,393,810,624,235,395,794,329,469,362,667,246,323,694,495,
155,493,309,719,555,962,191,275,678,803,207,471,145,539,323,624,409,540,771,
755,788,735,302,432,997,465,814,314,896,540,603,078,723,871,190,670,986,675,
134,099,717,605,441,543,751,659,489,684,872,580,507,441,367,602,678,441,360,
173,451,762,795,986,394,003,173,947,594,077,486,618,226,976,552,833,870,096,
282,719,770,775,839,662,764,534,862,561,513,032,366,447,058,535,965,581,659,
720,489,804,506,175,742,005,882,224,545,212,335,856,615,168,241,602,126,517,
569,722,642,025,980,647,616,608,962,767,438,167,050,964,511,426,551,062,274,
417,238,469,356,242,170,555,558,637,202,843,073,394,402,330,715,485,621,774,
023,507,152,535,634,238,436,847,865,434,710,981,588,226,182,340,046,267,067,
071,060,074,074,894,936,391,572,612,007,917,433,158,055,210,482,723,990,289,
454,256,141,011,917,326,771,413,469,412,073,359,047,671,341,298,976,626,001,
252,875,144,381,535,691,142,001,725,418,220,545,313,504,457,056,638,547,143,
718,944,677,415,630,786,965,438,558,018,812,860,256,473,615,227,602,339,763,
161,301,372,008,986,389,084,249,213,242,500,257,160,941,232,407,741,038,425,
310,595,030,014,314,410,423,958,972,552,416,297,916,213,088,041,649,797,140,
647,601,231,031,117,933,402,965,877,920,692,539,889,458,729,096,355,723,402,
005,823,784,394,060,102,474,730,466,524,741,077,636,306,558,631,761,653,401,
322,457,873,983,925,525,066,537,724,872,115,262,309,546,644,207,348,520,650,
332,485,707,034,510,456,099,459,800,650,920,658,587,781,936,144,828,886,647,
368,180,964,329,473,790,260,204,023,113,290,965,391,296,598,044,042,863,105,
411,959,107,050,692,794,090,589,955,590,950,375,930,680,033,977,166,921,554,
132,625,886,167,165,892,338,115,609,209,946,938,680,064,760,133,320,642,517,
454,286,987,813,393,219,532,765,854,905,802,831,550,731,917,139,486,381,123,
971,213,065,054,064,166,010,955,409,722,401,196,000,837,567,475,876,226,359,
537,771,600,573,161,407,000,857,884,882,678,125,451,038,618,536,982,463,461,
851,421,642,686,353,910,368,828,503,598,507,029,673,231,814,582,120,411,236,
778,690,232,008,944,219,618,790,690,504,428,244,733,181,429,159,654,503,545,
871,072,155,433,037,100,505,643,326,593,451,431,935,331,114,880,957,196,042,
752,762,580,016,570,487,064,471,488,794,128,510,803,707,491,336,066,344,202,
349,170,343,419,133,296,571,299,163,295,937,314,513,652,589,717,385,417,064,
916,438,539,746,032,975,816,399,129,734,964,517,453,168,416,821,256,766,856,
092,294,930,097,662,437,362,110,313,564,640,804,436,799,728,173,293,420,310,
283,373,254,998,729,559,778,862,056,231,308,112,509,222,461,545,828,450,910,
111,313,003,909,024,280,016,224,265,551,778,417,402,504,705,061,306,883,487,
774,252,709,313,029,113,457,175,216,699,947,009,726,205,769,799,934,033,422,
909,428,307,876,804,585,452,050,296,588,120,787,436,351,731,210,503,034,005,
750,140,201,017,844,521,994,131,650,250,307,775,812,240,761,912,549,384,490,
386,218,043,651,082,521,456,827,809,649,810,010,770,650,083,438,608,103,515,
516,244,148,050,364,030,597,535,500,364,636,804,271,487,652,030,835,441,613,
563,514,513,740,224,470,944,717,148,371,651,366,927,489,214,471,189,821,347,
885,886,686,925,906,613,952,661,795,992,394,487,210,955,818,833,316,421,888,
903,034,895,697,672,091,412,839,839,070,683,867,767,889,649,595,188,602,974,
835,245,791,927,191,674,554,252,879,258,558,578,601,704,342,709,559,098,308,
957,786,087,032,075,672,587,804,433,746,597,002,368,308,799,621,472,827,842,
950,344,238,450,593,071,312,519,281,991,452,221,425,419,562,084,033,116,330,
606,122,350,094,614,010,030,964,054,352,877,298,886,006,187,446,779,461,167,
680,302,684,988,210,299,749,531,112,580,340,319,980,442,266,944,601,267,055,
951,684,692,777,678,837,707,618,049,292,005,660,153,881,911,966,614,998,777,
740,048,453,081,900,727,028,424,236,283,729,627,088,874,302,415,773,865,245,
676,165,829,525,348,413,796,266,555,926,308,607,727,040,887,062,920,717,651,
236,816,196,037,210,193,811,397,867,696,935,027,316,205,324,465,227,273,695,
810,385,288,579,072,484,916,821,439,012,278,811,332,845,025,494,633,888,768,
850,079,948,155,578,970,234,084,968,260,637,149,200,196,630,160,675,713,735,
704,449,603,122,345,535,012,959,309,468,583,210,851,730,006,741,392,068,364,
076,675,398,750,046,321,749,824,595,625,644,343,448,691,918,419,728,395,745,
584,044,010,643,373,709,561,160,565,538,299,735,514,597,653,975,014,491,418,
230,469,416,120,758,711,042,284,968,030,072,203,807,816,108,193,174,944,338,
034,300,223,769,722,036,733,248,715,355,128,643,511,623,159,535,827,327,137,
132,058,346,299,582,345,814,535,558,919,432,618,496,117,233,528,631,059,114,
083,552,702,937,463,114,398,842,352,817,838,366,444,879,972,025,111,838,890,
708,861,638,832,848,540,213,283,013,237,521,041,368,177,849,199,563,586,302,
487,868,257,114,036,650,516,339,112,200,796,020,963,701,877,078,761,034,918,
787,767,066,253,979,293,097,775,169,730,971,674,959,585,348,306,611,374,375,
838,233,299,403,476,782,406,151,510,474,244,110,100,958,673,120,445,891,592,
696,661,656,990,111,441,509,519,453,679,078,130,715,050,776,589,207,741,829,
186,702,301,863,667,192,404,039,365,376,491,264,401,405,833,850,294,009,854,
890,016,600,915,452,022,428,163,390,886,836,500,657,307,819,950,519,917,680,
018,699,899,119,593,656,232,570,877,498,237,229,388,678,838,324,613,224,550,
724,765,686,082,007,218,999,463,199,905,971,872,584,670,359,433,734,999,743,
104,733,616,912,413,483,405,797,707,167,605,493,120,024,224,921,126,133,513,
542,388,471,297,578,220,538,189,137,884,034,709,411,480,963,582,959,938,879,
969,280,984,764,943,765,890,420,875,862,961,614,239,862,780,163,448,324,316,
710,431,953,483,945,649,772,006,798,483,159,068,958,222,701,952,175,212,270,
162,067,522,257,895,412,861,156,826,713,121,274,263,504,526,911,535,235,779,
937,331,569,620,869,641,793,076,413,374,434,516,595,628,752,716,080,417,200,
974,666,700,706,119,615,936,943,832,472,772,978,784,714,028,764,288,834,455,
098,151,277,187,262,975,146,295,516,456,904,584,623,272,883,296,276,769,148,
187,442,739,511,348,650,456,244,146,799,579,451,279,811,321,494,257,152,144,
373,171,349,146,746,242,443,003,761,728,776,318,672,567,101,096,358,447,690,
200,105,775,903,390,176,155,510,291,925,347,550,657,262,392,214,654,262,495,
303,280,591,882,708,727,946,376,792,353,471,828,265,586,540,869,266,056,831,
367,942,862,820,208,549,333,144,878,570,938,340,811,370,564,220,266,767,450,
568,275,743,347,525,262,855,180,261,003,414,541,518,248,611,902,973,181,177,
077,335,879,202,696,708,915,565,982,262,832,576,965,497,508,266,391,426,046,
704,209,178,205,017,849,394,957,706,411,034,312,636,680,809,536,408,919,239,
175,258,544,172,570,890,426,358,246,192,148,814,828,667,026,659,333,562,445,
849,836,421,698,498,911,586,957,085,084,050,254,716,429,700,863,354,420,655,
030,705,786,822,243,716,569,266,409,120,277,335,647,749,741,537,337,828,761,
238,002,924,244,291,855,547,768,243,706,291,510,375,293,228,491,248,078,625,
600,497,230,058,559,706,743,414,545,423,948,735,239,841,994,211,997,538,889,
736,853,043,974,189,832,353,086,542,108,847,848,150,829,239,423,803,175,527,
428,302,455,640,765,778,195,105,236,453,392,915,449,885,684,921,456,249,767,
320,129,318,392,044,969,290,805,397,580,768,931,359,966,206,938,592,042,365,
297,880,129,132,262,950,229,224,373,529,343,213,892,613,579,568,131,789,078,
323,463,154,644,324,800,308,521,349,437,931,912,178,874,123,776,102,627,345,
598,392,673,751,141,248,786,434,492,864,847,819,402,403,263,371,075,338,949,
742,744,101,455,907,497,392,543,674,609,299,597,767,378,449,009,303,503,336,
052,908,218,219,817,092,382,247,095,592,220,762,062,413,876,303,657,379,658,
109,321,146,405,264,758,488,626,095,100,216,234,231,994,409,453,949,587,230,
490,855,486,686,303,092,590,122,543,105,561,620,735,742,040,086,248,940,031,
179,998,536,883,017,843,305,255,335,958,942,169,385,850,288,932,797,096,825,
593,153,293,456,249,592,853,647,754,069,815,950,802,253,444,828,577,492,827,
654,536,325,475,344,507,436,508,984,643,101,931,479,947,204,508,603,966,353,
587,610,369,143,854,290,871,837,586,471,655,164,037,804,822,764,251,554,974,
274,968,106,923,004,186,909,786,662,878,123,969,644,111,496,667,259,615,556,
679,992,207,602,215,150,049,906,066,289,778,786,388,763,884,895,711,174,652,
886,249,074,240,769,932,878,208,195,243,981,816,081,387,730,364,631,723,841,
572,283,486,098,021,524,297,848,786,974,955,843,914,538,995,233,113,307,726,
075,348,055,627,245,191,930,640,749,909,560,580,785,433,802,078,570,880,057,
824,100,257,055,714,088,254,066,031,018,505,541,928,580,564,971,044,881,967,
851,717,648,183,883,191,831,456,497,642,851,456,943,346,691,292,243,687,793,
681,798,328,920,069,273,039,246,220,686,031,438,644,076,914,606,503,214,634,
037,177,200,319,605,167,462,982,076,834,803,298,652,223,921,249,060,772,823,
432,094,626,433,617,009,847,740,678,601,240,032,297,358,105,504,814,825,739,
736,165,467,229,517,819,781,321,329,908,240,598,230,245,195,948,421,443,981,
557,870,284,277,857,994,423,107,695,972,975,884,677,414,780,596,735,234,908,
680,759,311,750,019,023,773,871,048,732,359,088,835,044,418,839,468,731,233,
973,837,326,934,204,544,027,681,536,153,240,385,492,014,632,499,858,645,940,
840,572,708,645,411,109,696,362,023,703,702,103,322,483,711,762,190,340,940,
077,230,547,227,315,408,291,996,544,946,847,837,086,101,647,156,519,625,367,
643,608,015,109,583,313,947,190,392,229,619,550,014,438,292,975,558,121,127,
835,951,377,063,610,571,165,582,414,523,099,590,940,457,617,844,533,974,323,
193,889,065,405,403,686,883,508,877,174,997,517,851,397,050,633,166,759,549,
654,129,853,892,229,001,119,374,561,963,521,404,627,909,730,815,501,408,756,
430,013,752,425,778,145,298,655,191,105,587,142,372,415,634,682,399,450,280,
749,872,946,193,955,362,994,866,572,481,939,980,562,105,462,146,031,284,640,
317,525,954,990,188,858,217,483,744,670,797,817,051,386,518,252,485,275,824,
511,397,123,396,720,618,789,607,696,748,541,577,633,023,604,658,542,994,337,
542,000,606,050,757,001,027,634,127,078,845,406,975,837,877,674,780,969,255,
910,424,580,480,167,364,031,752,426,574,647,100,906,593,777,130,201,993,348,
241,237,942,853,507,103,110,939,335,345,763,018,833,347,325,982,235,305,626,
337,977,550,812,628,625,998,701,474,664,437,292,263,568,605,510,884,368,415,
801,375,203,839,537,033,505,375,787,926,036,690,633,873,458,722,709,971,926,
170,478,930,832,846,748,971,025,152,818,977,943,379,659,691,791,946,606,138,
842,446,363,454,072,346,940,309,268,279,390,499,094,746,025,031,544,033,133,
564,204,245,900,480,337,278,237,634,038,324,111,861,379,296,207,207,679,715,
701,367,872,275,081,489,760,593,372,070,002,235,140,876,243,786,669,239,632,
256,273,199,490,107,548,294,395,125,378,613,934,277,352,383,429,918,861,181,
153,683,303,204,872,233,521,258,052,747,831,706,358,400,190,565,672,267,725,
392,725,825,088,866,420,200,676,089,088,055,450,130,087,137,845,064,456,022,
954,737,278,736,721,792,454,739,832,121,127,126,425,703,932,887,805,914,001,
292,797,167,182,099,526,352,093,191,481,743,438,909,516,251,484,158,262,799,
335,490,593,908,044,571,204,015,465,011,452,623,472,556,949,538,767,653,572,
453,667,578,196,038,321,955,594,668,349,117,895,050,763,019,900,659,816,019,
215,549,541,628,220,109,160,397,420,181,812,295,300,184,085,726,910,100,417,
571,299,483,891,951,162,912,859,709,141,391,602,656,695,039,290,706,438,167,
126,910,833,943,451,670,787,949,159,694,797,707,679,682,867,248,592,926,789,
871,564,412,106,835,378,735,953,214,769,607,284,923,815,839,454,007,771,962,
557,732,949,440,570,226,496,903,119,561,199,393,767,307,291,377,505,531,375,
578,929,725,174,195,156,278,567,397,044,989,226,208,168,942,250,081,872,601,
738,173,639,033,568,294,586,028,118,094,119,847,611,346,536,759,853,726,443,
074,893,480,468,470,558,621,110,616,447,684,012,656,171,822,775,066,264,947,
344,261,196,352,206,503,569,342,297,154,744,220,791,236,888,397,316,400,632,
617,573,177,004,301,054,356,932,520,143,808,835,714,336,749,801,483,979,428,
634,604,245,861,580,188,349,203,587,333,115,624,492,133,894,901,671,553,287,
008,277,680,597,139,419,726,816,499,934,790,383,019,003,734,878,673,031,808,
985,843,193,944,389,985,923,047,968,687,480,874,090,514,811,712,513,460,895,
490,200,253,145,422,322,870,256,817,029,162,098,703,876,327,801,193,278,865,
275,854,751,115,128,010,717,636,563,252,507,043,100,845,095,670,763,137,229,
890,458,504,778,838,617,258,201,720,495,625,352,952,829,484,078,132,359,815,
602,906,091,655,041,728,154,380,290,860,096,040,812,650,864,771,583,708,832,
078,078,682,926,606,875,269,861,419,910,801,609,043,092,424,512,662,942,748,
762,753,720,830,145,859,279,175,236,577,939,770,920,294,280,448,714,499,682,
885,103,262,674,304,244,984,268,920,660,440,432,445,198,523,919,567,808,447,
959,879,916,274,823,611,508,233,821,262,402,256,769,289,630,743,405,546,373,
882,511,313,535,194,642,059,406,395,796,458,776,970,296,806,811,981,160,616,
127,777,750,474,994,969,958,209,234,246,118,130,125,156,629,973,971,817,206,
352,083,448,029,142,189,961,698,461,957,903,525,709,126,487,563,851,984,885,
904,253,681,682,669,491,874,090,567,099,182,366,422,504,818,222,435,400,936,
708,051,301,290,555,887,543,778,503,299,185,203,171,468,136,467,278,289,622,
560,551,578,357,654,318,194,237,196,664,293,689,722,934,286,656,738,377,013,
392,551,284,304,417,661,058,635,599,102,886,189,177,301,356,353,248,758,244,
891,920,639,520,986,533,200,838,838,128,149,806,615,082,243,295,368,583,950,
110,861,749,998,877,716,884,400,957,226,037,188,274,580,242,420,754,786,937,
493,322,465,381,153,505,682,356,715,072,499,654,765,289,393,966,996,095,672,
173,549,850,171,864,016,019,254,747,761,902,741,517,045,051,003,182,871,043,
277,629,528,677,059,920,975,927,920,375,937,531,377,932,237,029,030,218,186,
106,111,955,955,629,174,897,004,453,345,411,731,592,445,395,903,639,974,230,
441,846,916,209,333,189,086,298,859,112,039,462,654,086,090,979,490,208,228,
142,003,522,094,066,486,463,568,973,473,303,165,375,745,904,897,446,703,901,
633,800,817,872,603,069,178,451,210,339,840,012,572,578,989,257,923,794,343,
900,471,069,175,099,260,539,538,565,268,285,527,200,300,786,751,620,701,506,
696,997,330,257,130,055,624,335,712,385,736,583,790,149,625,528,022,885,354,
147,759,411,208,511,763,732,528,696,835,673,245,245,937,097,769,465,866,638,
876,394,524,443,110,461,152,789,879,127,222,012,960,392,623,158,421,903,396,
504,538,205,977,274,819,514,749,410,282,052,538,685,075,104,226,692,366,661,
027,530,738,884,393,949,771,147,669,852,660,843,443,187,829,456,610,672,383,
369,297,553,180,738,199,962,772,489,591,877,558,515,499,764,055,883,038,277,
836,075,656,166,745,315,382,891,080,609,638,836,535,615,633,099,030,602,758,
764,395,445,609,569,502,772,062,556,940,799,329,378,639,564,126,371,272,612,
296,451,308,338,452,610,995,520,080,373,352,610,824,300,600,601,936,494,549,
051,296,133,271,234,867,849,574,449,387,366,659,697,281,063,690,339,925,540,
583,140,577,192,920,463,886,359,676,845,022,502,719,240,078,294,553,376,234,
847,327,282,455,024,432,598,098,364,044,916,462,198,866,903,318,219,072,405,
567,369,024,843,690,848,099,533,683,604,511,454,452,190,989,916,788,066,697,
725,035,161,869,096,419,716,909,127,273,504,006,069,709,020,600,113,161,913,
631,502,505,365,130,280,641,638,219,559,959,457,673,610,653,008,761,715,742,
120,322,551,991,132,824,078,617,497,039,567,381,632,195,722,774,848,232,002,
245,653,142,891,121,613,624,409,065,864,184,781,490,019,137,209,287,149,706,
683,760,797,698,718,796,332,782,151,071,001,610,608,705,082,974,619,333,859,
496,851,924,860,939,299,320,904,380,181,730,115,478,379,496,572,242,253,858,
942,355,317,460,392,472,061,191,502,318,614,563,573,799,312,604,535,342,642,
401,148,392,589,956,212,243,295,996,617,909,109,450,714,541,194,558,050,912,
207,209,189,106,648,908,084,409,261,348,116,812,619,629,382,492,181,806,976,
841,802,233,077,154,410,426,529,635,185,086,706,402,356,070,526,418,200,305,
735,433,737,901,059,326,272,907,745,344,865,904,222,040,268,908,476,480,741,
392,939,109,981,262,304,919,674,987,736,491,433,609,887,209,943,115,389,833,
979,962,059,247,185,233,989,922,789,038,388,819,232,835,277,946,823,364,223,
357,556,433,039,909,024,833,150,532,216,916,210,196,735,072,342,908,987,720,
621,724,566,731,859,645,037,636,821,041,587,420,069,436,796,946,794,463,571,
785,794,282,722,345,606,218,280,497,575,499,506,519,742,170,785,815,395,037,
299,081,830,204,094,421,879,027,549,333,696,625,388,695,500,651,129,234,622,
229,365,899,314,615,421,135,460,686,107,689,221,962,690,770,559,198,842,131,
418,398,810,603,728,824,847,575,252,347,136,293,183,375,558,862,640,131,621,
924,089,781,034,731,418,460,588,956,360,013,353,777,415,525,598,863,579,861,
569,946,950,493,530,999,734,810,398,675,550,420,627,709,341,162,759,739,380,
155,060,605,286,897,788,542,402,388,050,718,363,731,289,572,001,378,257,034,
302,517,965,716,091,328,763,392,035,230,915,454,662,786,028,864,871,969,239,
027,971,994,507,343,994,248,592,898,905,853,832,439,359,180,481,741,048,498,
985,244,028,388,673,990,565,006,405,055,323,504,989,521,359,184,903,066,364,
593,331,270,543,485,861,934,585,083,671,330,888,880,736,339,588,748,835,599,
573,326,998,310,180,118,098,545,573,007,727,430,491,334,926,205,902,833,481,
546,665,164,970,367,617,797,024,739,943,098,384,751,863,912,580,226,101,162,
546,914,345,708,141,131,369,448,134,627,633,585,177,587,961,578,654,836,289,
066,109,298,536,429,987,987,257,982,355,284,486,849,819,154,167,195,459,999,
353,438,983,296,853,769,992,928,072,055,833,636,940,903,036,671,785,956,138,
599,147,644,976,064,259,614,038,033,017,325,291,873,653,854,646,128,912,979,
897,870,411,151,271,060,065,698,132,836,667,846,261,013,100,616,714,128,251,
030,180,449,044,634,903,503,412,730,534,432,168,644,480,197,439,837,418,707,
161,223,608,390,866,854,173,487,482,000,988,073,426,983,120,102,142,562,026,
189,164,244,453,372,588,450,408,982,198,460,603,672,423,514,081,158,716,929,
784,878,002,272,895,344,140,572,379,793,827,878,945,528,043,491,112,274,258,
030,557,408,278,833,091,748,885,882,929,182,833,373,772,180,141,601,310,566,
547,347,466,232,076,596,635,598,095,187,778,380,702,173,504,807,819,487,985,
294,792,077,749,178,357,462,848,755,959,526,430,166,741,369,408,784,715,775,
139,220,871,128,552,724,758,376,261,063,448,207,079,126,324,152,317,883,036,
965,532,399,562,330,059,015,776,023,969,369,939,374,262,222,277,898,774,789,
574,300,407,800,246,740,267,862,747,791,590,922,127,771,555,844,625,727,421,
551,943,328,032,496,194,720,381,255,120,761,327,050,014,223,435,999,372,292,
374,666,528,696,597,048,093,196,923,675,255,883,135,429,431,571,570,995,169,
848,479,361,725,029,928,225,479,633,990,850,062,859,778,542,969,650,145,647,
747,678,925,478,679,470,847,023,510,089,902,406,210,407,094,833,610,962,514,
989,032,702,936,578,472,081,732,755,629,499,299,360,708,648,104,696,093,812,
029,706,386,279,553,328,285,861,024,776,015,962,487,703,068,671,498,060,772,
957,437,604,652,450,034,316,808,138,375,792,150,634,820,129,052,868,563,162,
996,707,395,280,367,912,159,960,837,795,359,110,064,699,208,328,673,423,854,
776,613,571,724,720,211,328,190,497,576,786,412,632,686,371,439,014,999,181,
111,564,973,213,328,654,503,922,301,874,770,825,051,384,573,237,016,777,138,
263,437,069,622,542,787,171,438,889,787,525,098,149,223,437,784,517,863,087,
647,059,067,494,489,773,221,827,239,730,147,656,043,827,158,027,149,267,081,
757,092,483,943,500,451,820,862,077,871,406,572,607,407,869,238,145,790,708,
820,924,845,139,609,245,833,357,157,769,207,341,574,653,630,174,426,349,807,
133,886,843,801,322,789,600,959,827,235,761,475,815,402,328,384,321,927,196,
142,816,032,735,464,760,223,726,698,157,740,194,011,089,222,897,239,209,102,
507,098,818,733,153,604,738,919,606,564,339,731,148,167,680,221,840,431,489,
844,621,578,552,998,327,224,066,331,880,388,904,194,793,395,362,535,374,569,
812,940,000,404,409,634,659,885,718,388,867,108,805,293,755,007,341,892,928,
914,527,810,825,872,912,301,455,464,065,155,186,290,721,701,758,522,806,273,
796,684,858,357,614,522,760,615,577,044,872,644,527,095,037,977,791,540,856,
202,042,023,911,185,209,242,593,965,955,107,085,745,944,824,516,031,213,576,
548,060,320,945,242,156,332,141,827,712,858,251,181,909,150,487,795,301,252,
119,556,058,232,635,028,260,084,884,631,172,178,017,082,188,212,074,588,708,
525,871,614,743,901,921,767,798,290,576,322,775,101,199,638,526,146,728,388,
601,069,414,057,314,135,529,835,502,543,054,178,465,518,862,797,992,048,713,
507,914,911,194,625,049,171,710,184,395,887,622,053,933,687,270,474,178,597,
801,727,429,023,763,947,211,052,720,888,897,884,529,326,748,421,622,499,502,
047,413,059,973,118,328,021,852,232,203,626,752,468,016,717,735,139,764,692,
038,631,619,393,612,318,403,266,112,625,215,753,817,793,638,205,023,117,096,
353,998,356,828,494,917,816,187,950,015,399,293,527,872,414,982,343,947,955,
660,370,292,600,425,188,803,847,116,574,949,019,145,809,360,906,538,566,176,
786,177,516,185,884,716,860,606,420,189,226,244,929,645,300,317,395,228,360,
351,792,030,065,778,200,092,075,199,760,184,964,329,812,505,631,563,820,558,
286,257,620,450,307,443,903,150,862,091,343,129,731,750,277,128,888,922,828,
383,463,610,524,747,965,297,186,430,194,217,577,702,088,748,903,812,701,009,
065,922,931,033,678,650,091,611,368,619,483,782,787,655,888,061,650,486,683,
004,110,654,431,232,297,934,579,316,214,199,057,983,492,568,071,557,700,963,
540,170,659,962,722,663,281,968,731,319,318,916,804,107,403,304,465,871,457,
564,720,724,788,843,091,089,942,547,795,657,448,265,944,301,576,972,804,100,
240,579,730,321,841,216,473,600,426,616,365,680,944,357,003,288,324,551,452,
081,822,501,159,232,118,248,485,254,208,995,603,212,321,598,223,340,927,753,
300,398,400,753,953,182,079,266,268,219,399,600,869,057,633,540,853,537,142,
876,689,100,252,342,964,180,678,306,486,675,320,968,944,770,370,321,870,441,
097,043,843,964,133,968,909,688,930,399,022,656,834,727,096,739,808,337,621,
866,336,744,057,508,177,823,225,376,141,120,620,267,421,700,632,996,815,095,
553,641,651,431,134,919,607,710,363,872,473,544,396,901,426,557,142,603,004,
217,790,845,613,493,446,059,047,532,493,480,281,025,565,174,054,762,387,296,
270,251,147,169,274,817,579,685,688,024,263,753,753,173,802,843,568,029,940,
813,783,408,565,619,259,140,591,176,858,141,023,625,993,888,536,351,390,677,
305,826,465,381,300,198,319,665,885,907,301,241,430,986,100,075,780,022,071,
639,647,392,619,658,286,158,467,856,350,962,774,015,324,852,143,667,933,273,
061,581,136,955,015,803,572,106,369,467,907,336,106,484,577,908,258,495,505,
761,148,393,816,858,220,232,273,713,408,387,185,488,023,378,315,399,068,646,
607,196,132,672,503,687,295,336,181,494,389,148,417,763,106,259,674,935,100,
237,624,163,539,212,595,205,023,618,421,876,693,304,945,641,144,722,152,143,
832,493,815,294,646,461,278,695,574,616,848,352,986,690,839,140,438,342,119,
662,321,354,740,065,819,293,646,771,608,376,006,475,612,026,818,656,638,286,
423,988,089,026,967,645,218,291,554,086,156,470,181,374,838,417,290,791,137,
374,706,889,817,513,567,125,532,263,552,132,552,478,674,503,158,035,053,163,
690,006,214,569,844,722,991,421,977,515,413,340,629,705,636,800,826,868,723,
387,534,587,884,001,398,323,052,693,277,994,940,059,688,584,739,163,326,370,
705,929,224,487,315,372,313,853,672,918,616,108,818,865,215,747,574,791,204,
314,391,420,319,283,759,172,122,244,189,541,222,679,898,463,465,901,864,941,
357,099,018,640,532,159,635,402,315,312,125,604,607,645,464,142,390,182,424,
732,692,343,969,834,437,336,228,979,819,964,845,152,099,105,745,052,900,246,
734,764,889,501,827,372,341,282,350,225,339,531,541,352,579,841,645,591,135,
866,521,054,898,528,347,135,148,259,153,669,826,706,915,211,313,884,121,871,
359,519,420,348,188,832,705,942,677,531,257,630,862,456,875,331,102,585,272,
310,175,511,212,875,501,014,893,148,899,070,457,271,848,872,023,192,931,669,
788,808,715,710,835,260,338,917,495,930,626,538,685,140,229,901,168,061,426,
397,447,953,754,987,755,932,743,995,434,620,806,433,161,963,160,590,638,133,
792,134,457,760,902,062,347,897,306,924,082,735,835,819,329,500,776,330,139,
635,384,536,950,260,452,590,414,746,639,861,969,308,408,511,450,515,122,582,
857,272,945,370,016,658,111,563,989,493,811,718,277,087,728,281,876,399,838,
525,388,648,595,506,744,706,827,185,788,772,162,331,616,104,009,412,770,296,
269,232,864,932,486,184,633,444,443,390,521,789,555,681,515,740,640,169,293,
217,668,319,047,349,436,462,747,317,042,470,001,963,270,272,062,269,389,939,
456,753,185,528,594,266,938,348,401,789,964,838,529,633,983,999,793,450,965,
685,687,643,829,960,338,956,296,327,243,002,725,587,325,440,129,385,211,175,
296,310,680,416,615,370,427,960,342,619,474,758,112,591,113,410,857,188,745,
077,286,062,517,288,771,405,851,136,020,565,806,584,935,701,305,996,041,862,
990,494,881,983,355,715,149,871,011,658,643,014,365,807,295,724,039,479,414,
724,511,674,860,764,723,134,308,020,708,821,185,084,891,375,051,041,976,418,
368,671,322,383,073,167,922,758,810,973,472,635,072,878,896,314,540,137,603,
056,564,407,633,644,899,016,618,483,771,190,896,624,539,039,577,429,810,063,
001,895,935,699,469,438,679,573,399,727,343,143,663,660,630,653,183,211,910,
803,004,920,227,831,604,253,322,088,918,886,853,783,764,505,638,955,725,681,
324,322,155,512,531,626,776,218,543,220,659,060,575,979,233,635,217,740,158,
971,283,650,030,413,653,802,178,571,103,649,155,976,954,074,212,111,647,838,
423,592,685,295,296,293,206,242,608,053,396,986,803,423,232,817,890,017,242,
413,964,068,479,872,794,278,699,370,607,216,842,371,302,418,849,564,965,445,
439,994,506,529,305,877,112,605,816,706,777,863,135,907,463,639,280,127,815,
490,887,059,697,234,957,645,521,658,041,318,385,633,177,254,161,841,705,132,
180,982,605,929,843,500,031,784,870,219,067,113,035,524,141,340,838,543,967,
611,609,304,634,840,921,263,264,357,913,375,799,746,007,630,333,001,521,885,
976,049,377,253,367,316,945,325,397,884,552,651,205,175,256,962,709,377,931,
579,953,984,656,770,805,443,397,348,802,630,845,725,514,474,756,187,392,433,
407,723,526,152,287,328,392,452,177,684,410,772,347,321,257,715,273,535,922,
980,391,254,222,345,481,752,412,809,918,740,213,556,273,515,597,299,411,370,
717,520,317,982,520,327,603,058,795,277,699,069,588,981,805,508,800,824,563,
011,150,150,862,598,803,308,230,561,740,043,670,640,885,749,058,828,303,475,
876,175,595,797,184,099,050,559,188,220,985,648,218,924,824,580,808,515,518,
305,152,622,919,983,480,262,851,537,306,489,730,704,800,898,137,148,481,783,
613,218,586,927,688,478,754,063,469,244,964,736,821,600,162,767,913,206,160,
656,998,785,496,840,247,057,833,047,107,789,908,778,389,675,411,033,669,177,
446,650,791,700,958,639,910,742,261,326,740,474,724,134,931,632,992,944,011,
139,009,072,524,988,781,805,713,636,656,597,045,180,918,416,426,747,263,561,
533,068,827,462,636,785,456,161,442,664,868,071,758,348,203,013,460,263,704,
229,825,641,295,844,886,229,271,647,908,947,508,705,546,966,696,219,135,309,
402,987,631,209,743,099,865,175,083,694,432,231,953,732,850,138,879,945,007,
609,146,568,220,957,607,883,460,866,439,027,363,275,772,572,735,942,797,366,
312,913,975,089,803,318,582,220,559,019,833,156,485,424,501,426,485,849,088,
798,095,225,084,549,213,069,608,600,012,970,091,505,446,047,893,198,016,407,
630,289,086,991,217,614,952,868,766,913,805,791,399,543,170,601,936,587,629,
507,941,703,941,544,541,117,001,872,880,961,594,550,536,112,509,537,243,100,
607,582,533,133,627,854,216,681,499,215,079,464,699,202,962,891,197,412,914,
487,701,173,815,621,682,982,169,552,002,879,138,079,435,519,107,784,183,899,
703,749,460,943,084,177,904,622,635,137,970,989,618,781,469,244,764,875,487,
759,369,729,975,913,430,960,675,519,858,202,672,530,844,909,737,637,614,001,
196,704,836,679,431,261,810,017,546,354,149,062,839,301,497,443,088,450,991,
474,980,345,284,099,285,925,714,612,461,284,122,435,854,118,740,838,430,220,
519,104,962,862,521,962,159,862,047,898,539,442,157,089,688,814,362,703,987,
493,299,136,824,893,085,469,886,438,641,074,575,706,981,862,218,636,472,258,
177,149,954,118,789,947,506,736,451,630,808,787,572,725,731,028,570,956,060,
599,245,400,876,965,683,003,400,021,876,193,918,792,992,277,328,780,859,758,
914,084,474,430,857,399,771,058,433,073,216,252,019,365,478,916,434,229,294,
582,025,820,769,644,022,977,842,260,159,713,074,613,438,139,359,329,009,116,
125,562,727,683,457,603,103,616,208,527,306,130,493,557,848,059,834,574,379,
224,749,650,592,232,014,478,478,871,575,393,143,585,707,098,921,653,518,059,
974,422,044,221,796,465,314,772,177,563,022,642,099,972,059,635,341,410,419,
524,341,711,145,425,728,353,802,407,579,567,899,654,008,447,438,581,972,636,
696,300,972,135,663,927,196,622,565,431,654,909,267,810,598,902,250,878,725,
469,915,105,001,389,123,580,757,208,742,529,199,666,897,488,414,106,781,509,
976,274,987,490,428,498,832,353,658,544,637,023,389,871,023,668,869,248,291,
914,501,432,903,967,127,120,198,693,297,633,979,811,302,690,947,610,684,989,
763,233,653,662,301,111,493,127,346,272,634,967,839,691,146,501,207,648,830,
566,678,355,630,601,582,135,084,128,963,885,773,352,466,879,390,177,970,214,
887,937,266,357,351,853,370,227,610,047,497,788,290,886,719,262,487,241,430,
251,950,988,355,607,788,645,503,846,979,505,164,639,700,253,336,611,221,072,
709,205,481,094,783,895,435,921,640,554,799,933,707,250,911,325,823,804,406,
373,004,070,393,651,387,220,715,769,121,737,440,382,626,000,156,315,094,729,
205,728,527,309,059,660,350,781,169,442,367,382,667,272,147,866,916,563,210,
688,318,889,301,983,442,984,550,074,469,526,433,216,018,557,014,193,645,713,
188,360,399,650,278,316,065,782,550,651,512,575,937,721,437,328,595,990,159,
904,731,853,159,650,162,955,720,780,082,630,222,052,465,238,387,848,079,307,
632,670,352,711,029,911,763,853,899,992,075,291,854,125,683,493,823,562,075,
388,663,386,980,468,314,048,278,368,327,603,764,363,159,998,282,637,465,504,
823,624,583,239,173,200,561,228,817,831,037,820,439,611,681,204,570,264,776,
864,983,669,781,826,745,759,931,264,311,035,129,268,427,089,605,946,889,945,
171,661,325,680,276,926,494,035,541,968,612,755,172,693,334,840,045,052,675,
162,943,590,664,572,287,867,906,578,851,012,697,335,839,628,512,191,700,346,
420,226,675,495,749,990,603,600,438,476,845,287,223,644,964,397,866,919,447,
647,144,698,182,433,728,055,932,977,672,929,767,002,762,443,517,012,190,746,
535,269,161,483,371,449,370,647,283,133,500,818,387,426,345,682,050,561,820,
756,270,031,414,077,470,304,110,639,183,970,796,414,046,500,575,626,938,017,
419,652,963,335,188,517,282,665,869,319,506,651,759,682,862,215,761,285,683,
639,318,849,924,473,846,937,630,450,183,922,754,951,252,856,129,358,446,184,
475,510,891,710,925,668,844,820,245,258,603,077,880,317,686,035,699,018,072,
869,054,702,291,484,637,520,096,153,694,338,696,568,276,913,239,308,661,864,
312,444,711,954,563,568,631,970,098,227,485,333,055,511,214,550,227,994,385,
830,423,546,545,813,764,178,488,158,847,482,355,839,664,731,520,651,082,691,
570,525,934,385,832,199,782,226,435,076,426,403,586,805,807,858,999,278,887,
389,816,375,909,548,180,495,101,668,317,537,385,070,520,322,899,614,894,922,
335,740,419,324,936,433,676,372,716,204,269,062,806,866,716,790,552,507,581,
815,048,958,755,371,273,369,376,937,162,155,547,492,521,978,040,934,094,132,
333,304,518,136,730,291,141,191,419,258,346,224,995,804,222,410,202,345,380,
613,994,421,020,818,463,035,945,538,999,094,135,620,996,690,551,899,612,284,
600,120,422,805,901,366,155,990,684,898,328,337,448,168,929,637,542,440,623,
823,294,310,114,343,110,028,096,965,136,951,238,910,554,371,775,088,732,709,
529,265,113,827,407,100,253,592,654,269,290,147,248,181,754,379,595,141,626,
000,994,680,404,870,555,965,113,974,831,364,768,515,585,102,553,734,803,169,
518,228,148,199,442,922,530,918,527,762,629,990,545,575,470,593,111,522,917,
828,624,220,848,105,848,348,867,718,919,552,727,901,684,390,053,493,256,121,
361,291,347,082,664,349,159,389,358,180,263,881,290,132,170,212,754,587,415,
966,284,253,942,329,987,275,860,259,354,711,322,128,141,111,403,250,722,925,
533,239,603,634,868,917,526,412,020,570,868,000,144,069,773,162,028,263,328,
655,365,145,517,644,545,357,230,448,723,047,844,922,768,567,016,742,343,095,
826,401,471,486,153,492,319,506,550,317,688,147,698,795,750,888,828,785,344,
629,572,249,991,533,957,841,516,493,124,557,800,759,598,122,711,862,746,547,
209,452,170,523,598,632,386,223,282,033,616,810,520,017,396,264,979,266,083,
093,863,727,820,149,536,301,059,679,082,647,941,261,980,592,222,523,253,140,
063,231,078,195,223,597,884,937,329,773,872,257,276,910,406,796,786,705,374,
509,290,019,591,385,529,359,946,373,855,458,666,986,997,925,561,162,033,423,
639,739,431,684,921,510,719,836,227,873,020,966,873,522,053,595,816,951,345,
983,487,881,052,497,770,831,738,536,519,368,787,844,879,816,706,740,625,630,
293,427,738,163,474,414,137,133,803,338,164,061,456,051,430,999,372,146,171,
062,404,908,681,180,251,443,077,441,382,551,495,098,885,230,933,604,282,676,
339,370,617,528,853,016,387,193,233,591,367,771,513,720,693,847,462,347,875,
146,586,680,398,253,614,357,205,455,478,709,348,251,890,820,758,539,800,119,
445,747,250,412,988,342,606,684,709,294,059,224,176,042,233,509,995,523,736,
846,284,524,599,140,754,614,987,335,276,827,124,383,386,644,381,508,846,346,
816,540,723,190,924,507,387,611,608,252,894,239,063,508,714,722,050,166,065,
138,086,684,192,977,453,468,913,955,059,837,906,759,566,885,571,435,092,237,
500,703,223,553,872,455,247,228,062,810,393,829,608,904,387,806,557,584,164,
822,963,289,556,724,752,856,258,129,239,045,043,613,491,532,657,511,075,376,
922,646,930,926,789,060,213,470,027,812,835,465,318,804,319,484,553,686,658,
619,130,398,221,859,431,910,583,496,254,345,823,190,290,672,770,473,701,629,
663,161,877,105,479,639,289,141,697,886,876,083,082,384,208,278,601,828,158,
404,120,482,286,914,629,053,070,497,527,569,882,299,136,245,103,133,527,109,
263,165,283,175,574,863,077,528,264,778,444,255,800,398,177,244,764,811,320,
798,121,902,134,720,324,583,374,871,495,868,516,337,982,284,569,056,119,699,
754,682,450,804,076,825,366,927,446,961,025,483,617,792,496,953,749,044,653,
368,661,302,161,027,191,949,230,589,308,046,376,760,393,497,344,115,875,786,
732,980,959,441,962,895,834,749,981,049,714,811,068,580,651,017,954,229,973,
331,944,031,380,849,000,409,541,050,941,652,622,901,305,471,688,981,918,407,
067,567,510,899,701,659,623,141,318,227,330,625,236,301,139,342,432,786,919,
498,458,822,044,563,414,082,477,931,056,815,168,039,690,014,257,050,221,965,
191,122,097,997,363,510,058,749,370,394,617,744,179,862,968,836,867,780,313,
453,139,509,197,932,871,741,113,341,417,075,441,291,284,401,113,018,724,265,
280,780,662,407,857,202,689,215,897,077,922,914,841,111,979,576,544,640,129,
122,909,710,263,226,886,136,903,059,300,620,848,600,149,028,067,103,268,813,
219,753,259,099,581,095,562,507,109,239,685,886,446,698,834,952,809,221,301,
929,056,548,451,149,159,866,755,487,670,620,738,481,038,884,227,329,231,067,
210,463,672,352,392,418,860,298,973,397,195,116,880,317,420,129,611,447,089,
553,740,530,162,498,643,079,857,588,213,165,022,771,331,286,652,653,662,710,
035,127,976,881,756,509,855,796,981,389,054,909,981,895,722,938,540,496,953,
357,789,992,705,878,859,946,054,910,797,592,190,783,839,866,343,400,936,500,
598,688,628,868,024,184,596,549,495,586,145,336,413,045,925,685,756,415,064,
904,469,698,831,897,955,822,415,806,646,631,583,915,508,432,389,568,193,760,
626,478,507,839,895,771,155,982,744,480,508,021,018,725,352,800,349,050,088,
438,284,407,560,152,916,262,460,209,651,953,150,763,576,997,329,239,106,361,
424,089,195,305,901,235,274,276,346,967,003,787,170,909,493,177,334,152,881,
189,497,603,202,108,883,752,557,164,179,855,320,536,952,504,213,434,430,246,
866,652,253,592,989,830,364,143,878,425,519,285,950,433,748,340,190,582,349,
889,873,768,516,002,028,750,116,798,168,471,325,547,808,451,432,446,556,780,
007,337,492,737,750,433,043,344,160,784,961,037,573,685,935,600,705,696,828,
720,499,074,208,625,360,975,223,440,264,060,759,709,865,793,484,519,475,356,
359,896,062,089,733,797,894,764,507,778,313,925,693,190,986,750,979,738,711,
471,578,060,656,793,706,366,694,803,144,814,033,324,446,557,839,204,822,495,
620,093,952,909,225,115,995,610,008,105,678,220,156,690,882,247,600,149,348,
619,337,709,797,960,699,334,908,851,034,310,288,994,785,492,495,324,947,973,
283,143,286,933,303,944,493,783,330,845,521,292,098,114,397,820,285,451,121,
791,102,809,692,527,043,526,635,424,427,594,055,711,669,724,986,318,215,605,
684,744,550,070,315,722,255,868,291,879,300,666,556,245,736,086,430,468,561,
842,794,349,881,213,268,189,618,529,493,681,902,810,030,768,776,992,881,045,
311,071,839,804,496,634,710,731,628,852,140,879,220,196,961,455,420,802,754,
268,837,101,058,222,947,988,698,511,455,355,890,129,626,806,166,996,891,221,
223,620,194,524,996,204,683,572,762,678,626,268,008,345,043,591,654,630,915,
981,656,924,840,796,841,060,128,388,987,258,805,033,435,596,794,658,110,151,
512,358,704,889,146,941,410,564,270,922,008,755,452,146,004,957,327,991,344,
699,667,915,192,109,790,563,366,525,941,399,672,744,331,797,159,568,307,433,
842,372,146,818,394,111,356,775,589,339,238,271,505,804,203,536,361,676,116,
075,155,599,998,572,073,498,590,973,468,522,548,621,228,991,392,030,291,772,
206,538,939,012,734,666,919,291,791,240,272,672,688,461,120,224,529,251,273,
770,135,279,851,312,714,586,181,903,151,133,630,015,827,189,008,719,312,028,
961,153,020,233,794,112,324,418,907,562,943,284,475,222,832,132,495,952,094,
847,877,493,003,385,726,857,422,901,973,658,387,226,998,362,451,303,654,838,
440,223,847,723,590,626,640,573,892,823,453,607,752,588,347,268,089,412,909,
058,549,685,811,525,548,900,432,714,647,981,421,748,901,108,328,902,902,965,
205,233,958,878,826,591,183,785,119,206,883,139,575,665,318,056,975,132,405,
928,715,222,019,515,823,582,882,046,375,542,712,350,286,804,270,462,199,627,
579,946,588,446,753,482,026,156,159,645,161,679,170,835,536,296,066,808,253,
825,910,255,901,303,096,385,375,703,582,457,085,704,686,630,453,559,125,183,
054,915,105,665,312,171,077,760,232,700,994,571,644,356,444,752,521,964,096,
909,772,465,379,577,111,484,731,168,868,840,665,047,203,580,856,076,383,431,
948,598,237,964,357,956,302,946,935,221,338,010,510,842,274,337,968,644,351,
159,199,690,903,016,841,026,409,945,816,239,307,957,973,948,013,254,552,565,
250,366,208,172,754,380,273,888,078,802,334,794,744,604,746,621,690,381,143,
405,990,714,244,057,876,118,736,657,743,773,189,747,714,991,010,869,718,373,
924,416,866,308,466,305,942,470,189,023,163,700,238,157,907,385,221,819,133,
092,918,951,375,053,332,634,629,057,381,919,984,800,298,886,283,883,256,036,
529,482,511,841,066,726,689,060,620,799,038,988,340,286,546,724,508,595,494,
385,335,567,849,049,149,447,690,570,108,746,958,448,535,466,673,551,003,779,
276,841,473,260,588,904,817,450,551,783,966,212,811,623,870,252,728,629,337,
507,385,598,413,945,860,941,721,720,240,327,428,003,273,493,377,808,858,596,
138,568,844,031,208,501,878,349,825,714,271,657,686,203,477,201,910,747,063,
608,376,956,884,622,940,739,977,559,475,139,223,908,111,443,040,814,795,017,
743,854,979,692,931,515,448,952,320,897,372,447,886,435,755,948,026,924,059,
329,270,285,797,891,131,638,694,546,195,889,204,200,033,722,266,965,024,238,
749,490,190,858,854,817,218,498,207,365,932,469,985,251,708,908,567,861,748,
127,257,398,342,583,506,698,699,157,245,112,092,484,414,637,417,191,453,804,
875,161,628,927,451,366,859,808,706,408,988,976,049,060,555,906,468,482,273,
303,492,014,895,357,326,299,086,033,017,101,368,996,175,776,689,355,268,936,
603,983,148,483,370,824,151,771,587,563,368,661,517,544,014,746,261,336,433,
959,986,758,025,696,980,297,456,185,242,400,124,965,487,218,277,247,260,167,
971,734,351,453,647,229,030,454,868,493,699,957,065,397,995,252,193,109,642,
906,078,759,885,040,793,846,270,059,835,443,011,092,536,521,517,602,603,270,
361,912,792,264,075,532,874,337,085,536,498,133,827,344,815,534,631,918,776,
997,023,363,748,423,561,571,062,373,180,266,425,355,268,762,514,736,408,337,
698,402,062,773,586,071,061,230,363,280,575,079,146,713,303,903,270,039,636,
514,889,569,464,159,206,447,774,930,425,628,791,897,857,061,680,740,220,339,
394,029,280,551,122,346,360,583,069,046,946,573,342,474,206,189,896,276,425,
208,646,129,570,996,825,664,996,023,617,754,605,296,076,965,396,863,936,470,
431,731,526,632,981,286,960,489,676,216,175,625,614,600,540,957,023,406,117,
304,849,260,988,093,696,604,471,325,065,682,907,039,769,380,217,009,548,593,
191,132,483,636,049,175,324,622,778,369,414,065,322,392,358,753,003,788,683,
327,603,875,556,882,016,730,010,445,930,551,680,479,649,011,332,438,952,260,
667,428,354,004,502,436,610,684,642,555,587,688,776,200,168,277,562,227,307,
198,512,617,820,651,418,574,962,971,191,467,271,085,541,167,544,927,461,101,
243,979,741,027,255,149,760,104,938,463,089,001,876,551,959,899,942,176,737,
469,732,634,642,469,467,769,607,082,716,317,902,630,512,228,207,850,669,573,
708,101,457,034,615,413,394,360,507,530,430,789,292,277,649,370,494,820,138,
074,819,645,293,340,559,634,831,574,255,065,363,568,259,824,677,434,493,485,
725,517,871,364,995,906,146,279,111,703,856,046,522,849,810,880,126,086,881,
660,582,009,449,558,863,462,391,699,885,927,691,040,601,847,432,489,915,098,
286,702,298,504,809,823,915,149,689,264,126,321,426,945,326,080,677,709,462,
060,073,386,694,775,485,745,575,791,830,273,730,766,580,247,346,268,155,680,
980,433,259,365,296,453,921,390,003,719,831,056,589,884,745,757,343,955,462,
454,589,436,206,807,153,481,344,798,466,665,445,780,047,387,686,898,186,065,
779,635,496,509,991,390,342,368,171,486,201,362,859,684,381,935,483,770,992,
679,382,483,286,459,862,746,454,013,041,433,887,946,018,539,982,372,550,190,
357,224,309,785,883,008,272,376,907,667,788,592,277,241,700,346,315,596,666,
427,336,685,064,233,909,373,344,050,297,109,402,834,994,209,745,652,097,099,
581,444,341,478,583,584,885,505,218,720,012,655,951,331,776,543,744,978,641,
242,125,645,369,291,978,302,089,706,769,276,999,716,560,043,952,514,855,887,
867,323,768,360,324,093,415,866,750,132,907,668,701,720,903,723,196,210,103,
880,731,071,521,477,191,087,260,987,208,190,975,482,755,428,088,599,800,028,
676,297,482,377,667,513,926,347,555,020,257,687,110,229,731,183,329,805,717,
803,849,653,294,567,548,499,987,349,409,981,605,267,134,068,912,565,770,876,
965,549,064,819,513,579,773,056,588,769,707,218,546,449,757,912,312,585,933,
013,540,264,453,025,433,030,961,553,599,100,034,413,499,975,537,357,171,801,
354,050,548,716,254,325,103,721,036,540,612,693,860,790,731,457,081,973,899,
858,223,476,313,263,404,406,138,642,993,880,334,608,908,460,002,235,139,573,
667,369,592,103,109,135,304,673,900,390,967,699,754,542,119,572,459,671,493,
807,819,289,169,128,551,710,566,511,853,249,412,375,026,819,238,736,417,903,
083,725,807,781,178,283,816,796,448,345,590,117,553,832,813,349,046,026,817,
734,985,466,775,886,606,395,767,417,680,521,172,394,428,278,570,721,435,533,
239,362,539,178,691,767,667,194,044,978,872,752,758,381,822,029,301,385,408,
369,157,385,259,122,373,825,433,974,916,713,669,081,034,672,341,959,235,486,
256,245,722,587,813,117,841,861,874,034,144,419,196,610,440,236,640,837,199,
294,354,527,506,246,104,415,751,015,137,283,090,434,071,660,136,815,609,067,
225,840,162,183,658,103,521,281,228,757,674,633,297,581,737,492,944,232,373,
833,356,525,127,706,382,309,322,469,445,764,501,863,195,146,205,143,103,365,
981,141,747,694,940,528,152,757,973,780,530,136,885,305,914,583,621,011,486,
731,087,853,942,827,450,815,806,740,828,550,499,484,539,088,145,547,305,336,
187,802,026,694,617,459,300,397,307,440,361,734,881,816,267,237,160,558,394,
776,313,388,916,745,338,838,861,534,505,369,600,355,511,645,039,904,595,105,
112,021,963,114,017,310,205,853,734,996,313,287,559,849,538,113,883,257,123,
994,130,833,770,165,992,758,673,359,741,911,750,013,321,907,987,666,317,792,
101,518,577,938,458,225,503,854,601,057,297,947,326,082,076,604,357,844,144,
867,777,865,616,695,376,420,368,260,134,582,716,878,496,454,060,852,868,066,
600,485,921,376,622,070,753,765,700,370,223,653,263,424,104,300,024,053,487,
546,151,815,273,828,570,238,222,794,244,147,028,769,917,107,004,572,860,508,
170,294,140,629,729,839,061,214,022,194,785,518,935,875,362,445,067,962,036,
464,165,476,220,888,071,229,269,401,493,077,544,723,603,213,830,570,307,402,
254,453,037,204,772,777,475,160,094,918,855,734,238,008,230,158,727,514,504,
967,337,878,128,746,094,523,805,028,748,099,630,752,184,639,640,767,437,856,
738,370,748,365,718,795,347,542,733,516,753,408,691,127,214,166,637,522,700,
820,571,378,645,287,926,032,994,267,389,922,035,961,184,360,739,019,794,795,
758,054,053,900,667,456,504,970,377,934,070,470,447,451,228,490,747,191,092,
914,086,217,757,188,600,250,169,330,570,449,372,436,129,845,017,079,304,297,
437,204,966,160,903,247,561,081,913,135,200,580,039,715,695,871,073,094,466,
179,910,171,582,986,822,653,346,177,299,794,887,070,179,908,929,383,699,031,
349,444,193,669,851,504,823,416,957,043,648,117,127,026,640,215,731,458,270,
005,573,432,246,987,882,673,182,642,170,025,675,822,657,584,919,102,156,683,
774,825,335,839,874,265,184,505,671,828,726,039,201,454,976,093,103,617,323,
300,558,746,404,736,815,077,488,559,030,781,952,559,357,687,887,165,632,042,
043,330,258,414,722,478,077,314,831,521,000,513,585,855,869,611,205,687,750,
493,462,002,465,072,564,962,523,446,742,296,369,496,443,859,848,972,229,276,
436,952,889,594,154,751,945,801,040,963,575,702,144,440,454,671,090,973,360,
913,633,367,477,129,094,757,002,907,185,540,893,215,617,746,120,448,719,809,
348,176,545,144,075,121,011,708,124,946,229,637,592,081,047,207,918,325,347,
169,284,955,062,070,651,302,685,115,966,058,255,532,043,152,893,486,956,816,
063,650,173,965,257,565,664,636,722,296,620,226,125,375,827,810,403,519,577,
111,849,957,392,120,621,957,870,610,541,860,456,022,389,330,228,144,862,775,
369,095,616,912,709,364,729,800,116,994,260,246,996,439,051,190,032,278,873,
431,225,431,175,786,841,407,433,829,678,163,431,136,938,687,137,218,218,587,
708,182,328,234,632,805,852,100,763,363,209,132,059,113,350,329,299,588,677,
095,329,091,587,643,855,145,501,394,415,616,446,540,329,686,041,078,342,267,
053,957,816,987,040,192,929,803,954,681,960,691,521,382,581,055,518,584,044,
634,902,578,896,926,915,678,612,965,300,729,509,985,763,540,466,159,775,821,
394,350,180,058,374,481,005,325,666,125,750,450,938,562,017,060,949,908,414,
594,294,884,909,290,912,290,695,810,479,253,157,615,360,678,642,939,512,801,
911,843,983,564,416,025,458,073,239,769,759,413,250,695,804,431,538,308,346,
266,687,244,692,920,574,139,085,084,068,896,666,342,285,210,255,355,961,575,
654,279,960,513,307,606,857,106,048,803,469,852,456,755,322,983,948,695,914,
950,785,550,314,376,611,299,164,402,699,298,108,505,510,989,703,379,143,736,
369,628,359,739,464,299,205,230,728,396,289,258,084,004,366,806,909,787,187,
872,400,327,474,276,505,766,847,999,194,833,695,483,185,182,791,422,506,396,
458,303,346,400,828,358,616,108,797,144,391,146,561,228,947,582,155,601,895,
631,790,601,052,159,680,817,421,859,213,090,801,030,686,696,233,707,872,684,
309,641,901,653,255,957,614,357,424,862,178,325,694,789,352,665,054,586,818,
684,034,773,616,032,902,916,176,847,019,306,168,239,806,193,533,227,170,736,
368,410,463,883,829,008,127,536,577,122,700,999,761,520,753,275,909,319,028,
694,584,185,192,014,584,201,108,082,102,826,809,263,112,120,438,173,738,977,
306,696,096,087,740,669,605,820,881,295,039,172,070,029,810,758,955,791,496,
521,237,292,832,233,014,772,763,695,762,321,784,792,948,969,751,225,542,378,
134,038,542,274,707,860,419,717,399,612,925,167,354,460,571,739,139,911,873,
273,746,436,985,523,215,779,762,956,551,374,651,008,380,529,388,755,114,705,
219,474,068,241,454,815,501,584,525,161,805,948,377,623,765,552,387,769,013,
309,589,327,998,987,361,064,869,930,058,888,643,537,545,910,464,689,033,654,
032,456,094,014,659,086,640,449,270,932,899,734,004,552,278,717,796,410,906,
499,662,065,486,346,027,871,882,145,289,580,330,037,030,651,948,303,817,242,
459,839,397,960,759,979,792,509,922,001,242,326,420,623,101,054,068,113,575,
562,520,407,618,807,343,307,270,651,396,480,363,032,772,648,690,624,791,693,
320,938,126,316,534,473,752,676,885,938,380,598,270,249,637,005,625,857,437,
927,983,686,260,726,707,034,347,808,429,421,922,866,968,445,267,416,146,410,
201,738,502,577,315,314,985,499,288,780,919,461,846,308,577,293,100,014,768,
586,849,042,961,818,530,695,679,521,464,008,569,848,244,065,796,377,089,084,
552,206,330,098,649,603,459,792,312,784,277,924,203,691,814,503,526,635,711,
086,404,374,027,271,539,598,266,744,686,395,496,283,453,295,219,748,609,119,
755,527,547,866,537,133,615,111,554,613,455,721,208,586,137,364,574,732,732,
578,773,032,340,311,311,515,818,645,677,843,288,549,595,837,548,955,447,243,
067,313,617,210,774,517,012,463,888,481,610,700,098,941,482,143,648,093,671,
158,445,488,454,217,869,843,914,770,107,006,307,078,266,893,045,023,942,925,
318,710,348,191,680,574,330,601,326,128,644,816,879,624,622,343,088,991,812,
773,158,400,432,494,038,465,123,079,253,446,319,290,444,799,964,084,763,261,
808,478,286,056,522,215,180,950,214,863,316,520,969,430,120,737,656,184,198,
466,011,618,105,909,675,197,683,187,636,895,169,411,621,971,928,616,213,625,
682,213,129,336,586,350,887,011,607,247,356,054,701,013,409,606,189,625,853,
398,178,532,060,623,565,466,615,896,717,276,249,799,019,044,424,453,988,815,
922,212,134,362,018,318,077,905,866,079,592,809,632,116,193,180,781,166,527,
602,299,278,834,727,709,956,117,920,558,709,747,804,662,986,810,794,950,655,
698,400,262,382,688,246,633,826,199,001,658,217,432,021,230,700,851,438,798,
942,251,442,139,194,224,963,691,013,051,946,518,858,079,180,048,334,025,684,
216,703,059,908,368,065,776,964,730,604,877,879,363,706,359,541,768,814,032,
418,449,977,847,031,965,294,917,325,191,987,232,759,102,024,989,526,905,579,
530,237,845,270,570,546,587,199,317,546,436,214,817,897,850,580,017,389,640,
533,445,243,812,730,572,449,037,743,053,531,507,317,447,766,736,912,832,274,
429,229,975,563,728,319,031,300,734,255,135,476,503,483,661,117,539,805,744,
081,788,259,619,983,463,748,304,773,540,375,717,566,384,371,675,316,307,335,
876,722,721,126,436,341,224,709,341,369,130,764,016,319,364,659,006,844,831,
057,345,677,267,338,658,409,705,046,931,723,262,172,941,477,906,390,078,068,
477,521,777,528,122,620,937,384,878,775,853,081,160,793,379,643,683,312,360,
370,923,119,583,406,792,947,365,883,759,435,590,340,481,735,915,135,579,803,
673,444,543,565,637,205,154,466,830,899,477,266,241,098,615,062,870,098,156,
295,410,944,687,886,040,874,704,262,524,174,377,888,238,801,550,511,342,262,
094,317,938,972,445,441,050,881,643,213,561,152,685,149,199,221,084,157,933,
532,557,806,233,830,894,176,477,316,090,850,917,488,221,990,970,451,225,332,
886,642,342,326,291,973,739,187,645,622,666,518,398,147,578,974,437,490,326,
343,044,269,743,413,226,932,414,319,919,962,540,554,848,037,884,650,823,359,
603,197,321,536,990,817,010,085,401,367,060,967,669,548,062,370,043,606,078,
657,825,902,304,368,455,841,702,813,319,723,848,742,004,560,121,197,960,215,
524,325,978,516,864,526,097,182,659,677,559,709,112,956,810,056,629,120,976,
798,721,415,737,878,681,789,416,120,305,273,354,802,305,719,629,367,176,378,
918,053,072,757,623,748,781,539,774,214,490,065,578,318,717,602,948,913,990,
392,072,002,408,947,846,634,621,973,334,153,037,437,200,962,300,937,780,921,
830,230,649,022,123,741,516,580,941,990,258,562,980,543,098,481,486,746,857,
514,107,623,118,058,096,932,990,218,130,721,841,747,979,854,911,697,659,868,
950,165,268,201,728,280,620,746,210,934,525,572,647,763,509,082,866,030,763,
213,247,733,014,541,984,939,507,638,217,030,682,568,676,744,399,919,497,904,
416,636,403,671,201,101,843,788,381,100,290,921,075,583,698,147,930,743,135,
123,724,042,120,443,356,299,845,979,876,385,068,614,891,229,666,733,543,232,
129,057,368,558,045,192,804,663,777,731,535,185,257,768,093,662,544,326,692,
746,776,352,946,568,074,635,402,028,394,982,452,249,955,953,621,030,271,579,
715,639,678,284,940,087,632,837,695,816,139,456,777,841,820,165,171,639,025,
702,658,941,379,291,563,571,954,694,862,293,507,088,396,543,888,717,256,165,
748,555,508,191,439,781,234,914,972,093,983,470,649,914,704,245,608,262,755,
092,414,218,786,333,988,592,137,022,917,983,090,146,908,553,981,816,711,316,
537,640,352,948,051,831,237,957,094,831,964,147,372,437,228,718,707,187,970,
422,416,083,213,991,238,326,244,749,248,950,966,622,182,782,673,498,644,096,
557,956,174,379,473,787,554,153,340,401,488,136,310,371,334,883,653,442,795,
011,533,218,932,693,384,636,128,075,860,038,864,824,518,160,481,116,280,543,
634,523,588,352,873,857,242,232,273,183,006,630,370,298,810,906,991,386,294,
797,560,595,087,136,270,733,318,471,841,838,940,572,226,890,335,200,546,293,
599,844,845,853,385,590,695,636,074,925,561,635,814,021,999,931,384,604,837,
897,520,348,171,159,867,120,783,523,440,675,103,269,504,337,063,921,962,747,
601,065,796,726,414,146,090,533,855,219,591,044,224,370,155,857,401,583,015,
691,449,878,203,277,160,700,134,783,083,017,885,494,955,866,831,605,756,313,
046,959,582,340,204,650,384,495,033,077,915,400,547,802,077,086,785,946,721,
559,123,705,158,694,554,654,256,476,723,211,131,469,586,359,149,589,928,365,
192,770,959,979,453,872,880,319,259,185,589,513,606,569,996,115,444,485,607,
144,385,555,588,863,370,439,947,842,867,613,240,254,548,317,887,633,790,060,
816,753,641,842,555,622,986,746,330,091,533,847,461,956,905,830,603,536,984,
703,564,055,720,876,918,339,383,230,800,882,154,859,693,248,997,863,359,404,
856,644,264,172,418,361,118,990,447,723,352,816,310,966,626,997,003,585,112,
472,495,819,322,714,114,263,309,136,529,192,702,443,777,730,937,823,004,474,
840,748,706,933,558,647,630,345,330,078,228,348,871,161,952,732,036,480,161,
677,267,498,228,492,945,966,900,042,107,562,191,498,398,058,393,086,040,056,
488,163,224,037,778,190,110,813,360,699,699,743,078,746,044,281,329,063,809,
763,653,071,932,700,979,766,117,030,119,815,873,758,478,611,544,464,958,831,
058,404,622,763,363,938,261,474,593,467,553,030,333,699,148,127,381,118,279,
577,668,447,484,996,731,403,973,503,346,433,576,977,874,003,590,294,548,427,
063,780,327,695,610,734,261,979,776,216,717,631,136,986,878,587,380,365,135,
893,345,866,547,347,802,333,572,234,711,506,542,323,171,223,509,003,969,501,
518,306,430,618,425,897,163,372,667,090,317,237,896,767,189,788,819,708,324,
800,967,382,862,482,080,630,082,486,132,507,589,070,009,125,572,220,903,677,
038,049,376,227,399,037,857,638,567,195,341,437,453,079,528,497,508,089,407,
535,130,214,144,046,023,432,683,034,383,251,740,599,375,910,611,625,403,678,
723,309,537,989,191,512,245,482,048,108,248,038,904,719,482,662,742,426,053,
644,038,335,020,588,438,052,493,854,163,063,399,649,332,253,368,537,465,346,
501,203,541,662,623,337,130,284,722,033,140,054,338,826,758,772,984,011,372,
652,051,911,549,912,953,428,979,345,159,868,616,607,504,522,814,503,108,166,
357,595,087,433,705,899,436,674,001,319,878,265,641,197,702,124,746,725,188,
431,371,152,839,495,454,526,201,102,756,756,113,502,651,547,753,748,759,883,
127,502,706,505,482,260,317,813,583,879,355,018,644,195,953,632,639,706,817,
885,854,181,808,790,046,867,863,138,528,371,178,889,831,986,580,226,236,340,
106,189,556,818,232,970,223,828,188,771,852,848,390,909,043,477,162,489,177,
558,889,931,481,649,099,578,817,709,492,539,442,040,620,083,584,726,010,157,
330,486,155,453,730,992,752,511,996,566,541,285,428,773,088,447,150,970,323,
951,518,129,335,537,787,954,260,442,731,396,849,277,815,189,101,802,081,972,
416,791,406,635,423,259,207,157,937,857,446,948,633,148,229,198,315,446,234,
592,944,378,488,146,282,982,004,389,809,155,349,011,527,818,857,494,947,504,
505,327,122,983,102,260,181,137,646,756,538,645,554,131,198,204,250,454,882,
022,726,484,028,568,635,611,378,669,450,469,155,008,917,189,675,058,104,836,
104,015,437,569,656,373,328,148,641,356,488,726,968,436,479,252,065,285,816,
121,895,977,873,180,437,928,686,613,634,046,690,425,424,842,069,958,016,446,
891,628,208,157,243,128,830,694,958,058,209,796,842,717,197,518,421,306,730,
243,550,269,274,038,507,843,372,433,371,975,517,381,263,025,775,127,523,413,
008,442,509,607,317,805,641,657,307,727,250,997,008,603,677,421,518,994,751,
041,038,182,493,538,485,353,962,617,303,435,572,633,311,351,267,092,557,536,
345,066,797,641,915,149,903,213,407,008,645,913,613,552,907,429,974,179,224,
716,117,218,153,532,299,649,968,630,363,268,583,318,400,611,408,163,536,067,
063,781,886,167,204,044,497,190,892,542,972,338,260,467,985,468,365,906,156,
111,680,017,919,745,781,698,129,564,818,253,620,289,986,121,215,767,106,610,
765,060,565,039,628,752,550,848,685,252,543,093,151,623,508,214,620,783,298,
020,839,428,254,020,178,680,605,045,289,465,518,146,652,562,474,866,143,801,
647,971,241,371,778,042,639,919,630,753,874,463,841,066,096,654,486,694,888,
973,391,633,432,695,395,531,564,646,017,918,948,536,111,177,798,263,282,143,
023,909,370,222,146,678,384,754,565,290,986,530,109,580,716,237,864,245,418,
152,225,114,590,976,327,320,374,337,814,740,446,684,882,524,668,114,505,470,
446,380,520,318,804,757,871,722,248,777,241,827,806,106,301,701,308,482,475,
305,781,052,835,905,778,026,249,517,100,536,123,782,556,495,704,560,005,459,
921,048,108,100,777,413,196,021,316,558,244,707,748,351,770,887,385,312,740,
006,323,875,338,105,627,626,482,620,251,998,902,664,195,455,676,124,779,117,
531,653,929,489,977,520,085,592,365,247,612,290,489,141,287,856,486,493,522,
011,736,855,931,373,398,061,997,876,692,562,935,232,853,455,459,041,859,054,
211,692,390,940,791,475,103,231,299,456,868,013,593,360,707,986,754,265,414,
378,814,006,726,545,565,384,912,816,078,165,801,547,298,981,323,016,189,350,
988,596,241,890,420,092,554,550,334,626,540,850,113,435,816,533,499,402,365,
160,637,975,109,746,362,485,290,171,644,844,734,868,198,750,676,057,082,336,
898,720,785,656,810,285,363,795,428,435,920,357,222,642,976,285,211,552,367,
242,123,390,607,213,570,087,595,849,233,674,217,365,030,918,926,365,371,859,
961,091,420,841,738,142,433,607,083,180,042,671,360,792,683,629,518,233,780,
541,455,240,091,692,575,441,946,352,290,089,837,912,731,871,961,302,862,129,
903,550,908,637,054,760,791,665,611,509,021,420,674,868,830,740,350,402,104,
986,897,912,310,936,153,772,652,347,474,081,069,054,024,276,961,298,929,371,
826,794,132,348,774,551,183,043,456,942,275,719,789,853,255,024,958,814,284,
110,645,876,255,735,100,645,204,902,625,177,384,711,248,174,121,666,154,643,
744,040,351,398,479,046,725,682,396,036,150,708,215,100,710,812,512,220,737,
876,739,467,178,004,506,949,569,208,005,245,724,268,771,463,780,086,027,197,
847,310,565,617,235,121,891,503,769,229,172,912,138,115,813,300,725,901,539,
727,589,951,789,120,437,184,098,553,548,342,690,507,228,556,767,449,980,100,
364,352,548,000,371,425,101,594,873,437,809,901,065,376,340,797,297,724,190,
162,218,294,766,824,897,370,864,148,174,809,165,783,235,209,199,560,724,314,
996,503,169,912,712,921,967,405,420,875,111,469,517,183,768,939,722,381,850,
789,107,934,157,259,202,922,613,186,720,859,976,419,420,927,195,551,579,481,
712,383,441,462,144,008,093,247,083,538,837,865,636,241,760,276,610,193,253,
408,672,987,392,786,356,642,389,588,125,084,397,982,614,081,828,585,660,667,
579,459,793,504,397,164,870,809,024,567,299,654,271,277,598,949,769,215,471,
505,671,366,966,949,845,463,365,562,813,328,440,174,918,317,434,983,318,657,
800,300,478,009,862,054,452,476,257,301,050,303,046,684,762,571,114,693,229,
906,466,560,902,240,459,903,451,109,240,108,781,058,540,074,561,434,624,594,
939,156,076,919,989,801,603,371,373,065,898,953,954,270,095,596,418,535,724,
442,121,047,903,928,007,084,085,871,014,023,473,788,969,681,522,389,257,106,
836,209,459,997,330,805,736,672,374,704,175,482,332,607,045,109,010,305,012,
840,260,017,853,454,534,250,252,579,060,014,648,400,362,756,827,249,137,643,
030,032,238,593,192,688,878,738,183,400,843,897,175,724,754,878,210,842,217,
646,623,405,659,526,971,008,337,563,745,632,546,929,904,757,347,852,708,017,
585,557,626,653,778,373,663,398,568,521,525,630,427,452,416,879,758,551,479,
956,284,771,203,035,705,746,165,979,589,025,658,323,009,512,827,296,033,903,
946,831,700,915,950,923,553,872,766,592,361,638,382,628,939,233,824,257,898,
986,089,853,936,552,568,521,226,700,614,341,477,417,859,173,129,988,140,220,
620,162,639,439,921,087,677,068,325,581,354,441,811,974,155,192,037,157,034,
808,343,305,033,316,873,899,587,690,253,775,302,589,096,750,035,699,558,826,
365,987,716,434,106,542,104,856,287,338,496,201,700,555,667,794,914,346,660,
299,363,607,071,567,394,836,737,281,505,657,624,261,318,234,397,057,409,300,
461,283,414,142,953,365,269,613,737,687,208,597,836,692,408,132,632,423,837,
348,171,252,257,686,657,479,337,506,689,579,599,340,022,918,450,421,680,252,
062,742,907,946,610,763,111,716,048,598,503,536,120,400,637,370,737,824,730,
580,378,526,371,345,622,309,417,440,529,884,348,677,306,896,931,206,462,560,
398,591,670,941,533,160,855,200,981,584,485,961,613,737,646,686,659,188,798,
653,999,376,681,995,081,959,172,899,423,094,738,242,767,983,920,411,612,180,
153,972,344,883,838,113,115,354,449,850,876,883,610,378,790,921,415,544,357,
187,287,104,064,297,278,980,189,470,539,142,514,228,896,935,791,421,546,709,
763,450,393,488,676,543,524,281,991,364,261,270,890,242,166,341,673,285,883,
129,584,289,663,065,012,098,458,164,932,584,830,733,409,205,573,652,608,378,
440,760,737,960,781,558,921,169,875,926,007,240,637,952,290,236,352,389,635,
700,127,428,988,352,632,427,909,081,556,578,137,830,330,495,486,152,375,358,
899,607,269,359,159,871,503,362,795,369,622,082,470,010,398,839,270,639,046,
546,358,010,579,655,103,210,864,845,427,977,209,432,659,962,791,112,452,964,
009,318,734,822,491,769,679,477,403,327,511,990,072,293,290,684,282,017,667,
998,788,866,021,481,618,999,129,110,036,593,640,843,869,671,994,632,417,053,
254,808,281,735,718,087,267,924,194,556,610,210,964,617,412,102,182,583,036,
741,165,956,260,314,559,070,068,106,930,631,084,321,198,269,056,760,205,522,
609,843,992,694,450,835,330,387,997,340,709,811,996,420,801,522,337,753,619,
118,692,385,250,198,137,577,281,015,089,622,671,802,347,967,519,122,064,329,
327,300,390,230,756,130,990,945,543,896,133,285,516,438,856,998,994,454,500,
820,402,171,653,159,173,424,075,032,280,905,834,641,920,160,205,958,880,817,
109,804,499,614,691,867,626,692,153,542,054,162,490,688,788,338,618,776,900,
282,892,974,342,630,600,059,469,416,903,172,123,351,720,179,886,021,246,694,
441,799,468,182,490,609,426,493,370,455,482,443,821,501,717,152,179,441,703,
276,232,436,843,713,005,807,081,286,763,210,805,697,793,943,179,851,575,354,
040,967,463,172,775,437,293,872,392,124,538,325,548,843,160,564,793,318,438,
651,118,201,894,578,866,609,009,156,963,858,025,275,697,676,987,248,300,560,
411,294,628,251,929,844,824,812,207,415,718,340,622,713,762,430,135,461,084,
792,588,027,426,428,169,898,025,194,332,489,695,794,373,461,865,428,375,290,
813,470,058,865,189,857,757,522,341,747,878,672,600,369,765,880,453,624,906,
958,770,275,882,748,115,690,560,719,419,345,503,533,176,311,524,397,916,481,
020,676,074,754,008,162,600,305,265,369,424,287,481,599,471,985,212,739,565,
567,183,146,583,471,896,032,200,169,243,139,175,301,809,188,933,131,421,344,
142,030,078,537,981,338,088,980,196,289,788,921,656,508,531,204,430,506,162,
114,121,430,822,801,101,097,819,925,922,781,250,972,885,511,390,283,582,951,
351,600,172,305,619,699,700,111,027,537,754,967,490,599,003,005,943,242,164,
341,126,874,939,035,724,750,507,219,742,754,692,807,819,696,459,279,767,449,
490,325,698,711,229,984,146,881,201,786,181,900,078,562,975,421,973,202,553,
161,595,798,708,850,471,844,813,383,858,682,738,636,176,654,451,861,970,420,
098,594,972,810,341,667,435,374,345,871,815,640,107,390,115,184,438,753,073,
634,064,947,989,403,935,601,727,029,284,963,346,332,139,890,535,895,870,238,
912,126,268,862,306,206,797,293,544,075,189,667,645,066,367,516,718,576,755,
665,792,541,678,772,921,362,568,714,804,629,474,284,933,825,488,151,611,820,
234,970,999,447,951,169,068,893,107,258,977,842,208,949,314,913,091,647,600,
740,220,590,791,769,120,209,687,797,646,701,083,613,897,503,559,821,901,307,
696,378,802,434,112,210,340,780,178,692,273,921,159,239,247,204,953,221,850,
692,649,235,461,709,483,873,347,312,022,955,646,858,174,517,136,546,544,888,
998,109,234,199,239,759,555,094,277,483,730,864,942,993,822,338,454,874,324,
407,527,179,516,572,306,016,855,151,497,302,457,960,296,786,450,796,107,492,
869,581,351,240,081,229,321,389,662,434,093,889,407,625,511,331,534,045,911,
729,115,436,268,647,118,747,272,779,675,881,871,119,728,205,710,218,924,317,
825,079,908,781,135,553,756,575,880,847,702,895,405,527,223,241,793,957,472,
456,092,149,090,362,020,621,815,272,877,499,058,271,512,419,031,023,884,651,
263,432,828,924,472,343,220,834,156,006,231,442,772,151,267,092,394,895,391,
567,256,458,059,567,913,063,451,954,200,873,622,311,589,729,573,256,484,330,
470,911,437,350,240,782,857,003,995,731,327,496,073,930,854,200,738,128,843,
314,673,042,508,335,350,736,221,975,923,658,481,741,367,632,427,757,745,186,
331,649,060,831,829,740,469,637,977,082,558,540,599,914,936,364,181,617,539,
242,699,608,455,549,942,645,428,657,871,681,042,388,354,093,718,871,111,111,
381,354,550,559,326,653,157,999,734,058,996,164,741,222,232,710,318,992,972,
034,724,956,569,803,324,590,746,403,015,577,279,769,356,539,875,860,994,295,
116,868,074,398,829,521,064,493,712,397,678,122,915,983,188,032,544,006,419,
575,487,885,577,019,597,838,330,163,783,718,761,699,135,122,956,647,345,196,
375,870,051,016,803,996,076,989,796,903,460,681,675,141,280,307,442,613,613,
347,103,279,357,109,471,369,024,143,362,643,378,649,161,810,320,421,483,506,
249,883,053,230,388,352,309,968,265,674,962,527,775,795,548,937,436,608,646,
095,202,613,930,544,005,469,850,145,045,377,079,710,188,180,775,299,421,215,
705,199,220,211,643,302,634,672,316,257,358,673,596,239,606,899,016,802,887,
636,873,645,280,356,591,859,575,581,942,190,203,333,387,052,555,670,897,812,
117,644,663,807,869,916,130,445,986,421,706,497,364,556,181,673,494,675,801,
957,089,801,206,984,594,320,038,957,405,752,974,041,980,492,714,507,566,917,
825,616,146,499,887,897,254,831,756,323,560,086,761,863,267,516,124,353,141,
588,241,357,254,600,018,973,515,482,005,812,110,300,414,076,111,719,723,858,
283,756,553,470,244,911,491,982,903,109,553,527,523,148,249,593,550,197,572,
566,930,692,223,690,270,303,179,370,671,163,762,116,284,925,423,397,943,392,
423,082,299,487,321,875,152,103,119,091,977,392,486,381,400,180,080,810,339,
169,195,062,249,194,736,161,125,377,295,007,681,305,452,373,593,620,943,932,
952,285,818,010,054,604,620,154,717,884,708,752,162,957,968,944,537,379,178,
433,338,071,927,807,988,164,763,423,658,911,799,026,970,853,271,567,986,575,
570,197,620,902,569,129,098,898,736,819,588,743,279,134,902,653,292,395,407,
281,646,580,591,600,717,833,531,601,508,772,966,326,706,140,626,291,559,558,
648,905,428,778,078,578,410,271,075,563,139,724,108,282,470,308,335,640,353,
399,073,345,112,163,730,361,417,522,181,405,250,015,434,058,122,509,644,268,
061,930,434,562,585,806,627,382,853,597,470,619,964,458,723,422,787,332,245,
083,445,460,230,419,421,277,496,641,237,604,830,159,341,545,315,656,251,337,
138,112,722,782,912,366,118,242,722,216,959,638,535,456,168,159,797,161,821,
726,474,699,413,306,416,372,638,243,385,681,882,387,382,024,815,329,777,071,
379,822,855,202,015,556,895,434,074,827,471,527,118,417,681,700,799,164,792,
817,624,932,921,547,430,632,179,977,629,039,225,628,262,190,118,930,363,941,
490,725,459,309,395,636,653,007,072,997,589,608,607,939,016,517,985,674,030,
888,031,187,096,364,756,064,064,046,446,685,853,710,997,022,824,982,642,363,
709,133,834,306,853,177,178,351,234,928,482,253,856,026,460,360,081,212,280,
280,939,465,375,437,192,161,236,102,505,500,761,685,007,598,018,617,027,780,
466,471,522,252,001,973,008,115,666,686,997,930,905,273,034,746,797,099,956,
195,800,141,195,553,872,956,826,276,425,168,754,871,093,161,967,654,940,358,
393,990,670,147,747,843,091,597,201,953,207,265,698,220,579,766,913,853,153,
199,116,204,632,349,085,729,854,091,928,453,811,923,020,475,181,377,931,055,
238,999,194,884,934,585,638,010,019,695,913,892,510,890,609,103,211,472,017,
630,794,791,054,055,312,846,974,302,688,770,636,128,241,842,565,477,828,704,
599,676,425,245,273,070,991,255,446,161,085,862,995,163,718,847,121,196,009,
054,495,736,707,759,501,401,817,747,011,624,557,330,893,768,504,190,903,493,
673,795,643,968,526,810,698,947,584,877,495,174,845,230,286,232,358,627,335,
751,073,098,923,870,360,674,244,409,141,240,446,388,253,438,405,032,661,289,
259,313,458,707,337,085,536,062,314,910,503,189,901,119,936,482,299,527,300,
718,591,376,277,863,315,452,887,661,171,561,371,534,235,026,626,615,688,055,
492,800,273,997,257,939,854,983,916,708,813,399,533,754,252,151,301,177,133,
278,277,475,906,316,096,992,596,261,791,392,115,436,485,765,599,615,715,311,
845,809,621,097,470,152,117,962,866,776,197,847,510,384,279,165,624,543,394,
227,690,432,533,110,392,022,924,160,646,999,126,978,317,493,102,690,711,708,
941,167,912,776,351,602,619,199,383,227,076,307,262,606,822,654,551,165,602,
212,273,197,612,788,969,583,181,090,653,433,943,082,613,443,213,322,013,539,
977,193,041,629,968,689,977,813,515,579,380,490,614,734,209,012,575,436,064,
266,005,908,998,523,365,103,491,317,523,419,621,910,152,146,304,601,870,573,
630,200,588,596,073,234,690,813,308,543,218,918,194,064,188,386,911,042,892,
987,982,016,905,426,382,433,210,611,242,590,007,781,966,629,778,856,336,044,
846,853,151,714,680,875,926,674,322,968,273,747,205,170,412,411,277,322,795,
727,323,740,244,204,390,321,068,202,247,095,971,928,300,529,613,101,075,062,
654,893,969,782,683,086,497,603,135,253,784,926,878,562,722,451,895,273,776,
134,843,322,636,410,004,191,722,589,663,313,408,790,082,003,912,944,050,424,
342,891,651,639,640,648,758,789,214,437,579,263,698,620,908,660,771,564,763,
549,427,107,941,504,486,320,564,016,353,143,118,002,384,335,884,655,601,411,
124,731,885,620,956,505,224,147,317,021,427,910,808,827,639,722,446,744,108,
002,840,014,939,632,529,387,810,629,385,662,291,870,576,703,429,040,831,233,
165,993,947,822,501,382,982,602,998,181,006,292,231,994,484,600,481,582,694,
850,616,263,917,007,457,626,860,190,756,216,144,267,454,159,825,519,389,729,
618,154,422,475,519,251,517,117,869,201,560,369,615,042,301,016,084,070,463,
235,172,759,878,964,019,805,884,008,706,200,416,058,028,745,310,098,145,453,
312,352,783,893,668,764,878,805,125,369,972,411,832,891,453,103,090,605,844,
927,627,949,866,188,022,615,606,873,019,011,377,842,620,344,376,002,446,846,
907,932,002,371,260,981,067,088,845,015,345,689,442,351,295,467,567,373,912,
185,691,919,839,934,260,297,793,678,666,111,954,602,317,533,183,978,036,590,
810,478,596,315,664,032,873,559,809,579,751,157,904,477,857,479,713,902,433,
493,255,251,008,641,653,124,682,649,978,729,069,867,453,770,457,550,812,561,
073,424,113,279,558,658,322,398,971,900,921,242,122,642,018,148,382,945,791,
653,003,924,004,089,655,814,360,182,565,254,734,200,126,216,750,565,890,310,
520,386,009,442,507,831,492,473,623,342,944,908,702,547,590,525,191,677,008,
681,573,212,954,368,250,805,999,374,149,041,586,145,987,974,539,022,710,581,
122,242,294,133,717,564,507,301,109,979,775,099,933,333,750,243,519,713,872,
875,346,253,918,761,809,133,083,333,505,258,176,568,426,658,513,167,403,120,
697,259,713,321,130,327,870,639,074,420,966,129,099,957,430,320,164,491,365,
188,298,509,703,135,876,109,432,963,173,305,461,562,391,732,028,258,834,492,
621,863,637,108,874,945,301,113,657,373,226,944,397,718,299,998,729,165,565,
870,661,878,597,340,863,636,624,307,421,631,538,666,713,443,772,149,904,297,
576,675,720,574,811,057,662,129,493,903,659,057,214,128,957,011,177,486,961,
740,915,180,326,689,513,832,555,241,930,417,864,001,791,502,997,686,576,735,
084,263,092,953,289,601,653,725,768,363,663,353,854,284,526,278,019,352,273,
481,190,169,627,820,064,546,858,473,318,083,817,993,311,467,574,541,524,791,
724,105,693,134,737,482,938,959,846,314,814,842,406,830,828,280,760,159,532,
596,959,285,482,202,855,028,186,032,661,912,224,516,719,594,053,215,358,026,
788,129,476,299,693,003,743,715,890,817,651,131,041,003,362,018,802,587,084,
232,928,045,914,301,081,552,288,426,463,096,470,183,217,364,512,160,662,199,
222,820,097,066,832,753,714,484,102,114,906,649,968,467,088,613,973,589,690,
843,801,388,908,375,817,119,935,545,874,019,975,908,448,808,568,463,952,572,
079,853,973,254,148,017,534,074,148,329,815,501,834,182,077,192,688,993,496,
628,642,313,779,112,189,014,567,422,448,096,491,010,355,073,773,300,950,716,
566,406,576,462,897,318,071,240,021,862,280,434,275,786,392,512,642,063,529,
368,649,829,181,145,775,835,449,845,821,214,127,641,304,601,484,757,668,794,
308,027,579,745,729,018,628,095,776,869,017,844,843,241,477,178,088,521,154,
769,183,497,810,595,221,340,165,132,740,483,335,083,870,891,582,079,401,435,
021,873,623,106,398,183,359,342,219,879,210,899,603,763,048,050,554,709,795,
337,159,048,395,717,863,186,362,182,610,986,785,511,630,790,253,209,612,391,
687,336,226,784,608,820,584,490,004,869,439,034,676,142,395,770,249,194,962,
183,652,963,300,591,626,664,254,385,878,673,323,535,098,890,780,116,739,286,
751,007,036,831,550,486,850,903,611,702,598,850,705,718,507,736,919,720,990,
956,775,701,944,347,141,969,117,740,380,288,015,247,339,523,724,089,744,185,
915,338,450,765,313,473,103,942,118,493,611,685,247,127,048,361,053,063,624,
959,836,326,749,237,677,675,335,244,364,657,942,878,398,290,417,393,430,332,
485,056,029,956,297,815,434,514,247,911,299,256,244,816,087,390,703,329,008,
838,853,414,334,457,305,237,752,323,649,967,861,585,897,380,973,572,361,073,
820,971,817,361,336,846,997,299,046,156,285,379,760,325,072,252,249,601,242,
834,720,344,367,937,919,646,449,489,027,354,668,218,998,430,932,038,872,901,
433,823,309,833,178,628,890,040,646,700,859,780,576,138,857,774,625,045,287,
303,507,966,731,908,665,995,871,692,242,731,359,997,500,106,657,882,485,552,
642,385,313,314,444,942,614,092,481,501,013,626,898,889,903,116,845,235,128,
312,679,260,149,199,481,160,438,374,213,521,044,265,732,784,211,264,582,098,
922,483,026,432,332,020,175,335,426,292,593,396,691,520,958,959,148,590,330,
866,058,853,892,143,293,028,977,719,098,100,871,262,193,018,855,210,719,592,
413,061,394,997,233,698,017,767,127,304,550,779,515,280,460,756,378,002,543,
802,357,964,768,102,756,247,442,346,700,546,434,785,314,144,305,887,217,968,
220,680,201,401,257,324,727,835,667,317,672,968,068,693,848,373,610,584,580,
219,206,755,256,365,131,751,609,098,013,066,543,818,131,280,669,122,662,483,
463,664,409,535,999,216,976,567,869,768,145,747,427,237,091,078,087,917,307,
577,631,624,872,268,047,558,155,122,898,881,793,716,307,919,560,412,845,137,
835,709,682,304,536,453,675,502,201,774,362,928,239,326,981,539,812,542,444,
507,811,149,808,747,241,200,948,127,020,032,578,215,405,060,580,299,596,321,
277,821,759,195,512,485,260,504,058,666,472,421,269,054,785,238,006,720,725,
330,534,560,480,673,673,614,834,511,553,087,204,446,857,128,273,610,400,300,
969,822,223,153,660,562,735,847,987,694,067,456,178,541,602,532,788,915,803,
044,216,178,924,396,715,583,331,565,844,876,138,697,463,592,406,193,140,647,
631,732,135,016,232,234,097,589,176,887,153,660,927,007,357,184,649,110,131,
982,521,201,825,881,709,339,428,525,486,365,048,802,508,502,814,143,133,318,
554,563,494,260,196,222,614,052,167,329,421,588,993,201,071,411,354,054,488,
590,324,295,518,266,672,701,850,570,358,410,025,312,344,950,689,084,829,399,
507,991,774,264,625,492,699,198,890,846,899,148,622,093,596,757,598,226,357,
650,462,803,900,908,226,938,804,018,360,097,185,081,742,422,913,084,489,811,
091,445,692,249,440,013,058,042,289,931,980,227,971,067,780,093,662,621,693,
981,280,745,584,328,773,568,104,768,244,217,348,637,221,236,607,651,496,002,
820,447,262,010,533,891,270,542,257,590,487,810,773,803,584,389,807,064,815,
783,961,621,503,068,095,972,322,568,395,599,414,269,113,483,639,561,372,061,
119,978,524,713,206,416,284,679,728,285,874,320,890,135,564,842,475,556,994,
014,095,792,645,459,120,104,005,554,620,431,373,255,645,391,001,611,610,615,
906,673,339,413,619,840,930,532,766,737,013,093,478,025,934,423,715,095,596,
480,533,568,066,257,973,719,476,804,386,098,893,032,675,826,109,945,979,481,
033,213,874,602,349,626,689,210,084,383,787,892,030,763,000,460,375,855,256,
677,691,607,836,263,182,262,587,983,756,340,698,643,264,115,100,029,349,302,
636,076,680,565,336,809,480,818,949,524,359,596,521,791,799,374,281,781,348,
430,921,098,923,763,792,005,890,837,003,070,887,726,377,292,426,144,217,504,
062,575,351,657,585,750,609,272,449,210,163,149,516,699,530,950,290,219,437,
590,153,436,792,642,229,624,806,870,499,715,534,036,267,141,396,479,472,671,
766,290,026,277,660,335,452,172,378,828,520,199,741,101,758,917,728,036,932,
371,267,964,595,380,294,085,464,998,125,397,712,095,665,132,032,073,364,421,
529,313,503,519,095,244,265,181,840,070,227,595,033,608,561,588,809,281,067,
753,036,838,795,664,025,898,247,850,549,038,546,314,676,547,948,408,056,968,
625,650,322,853,209,399,444,672,862,511,219,331,267,692,061,243,999,381,628,
163,569,176,895,521,024,809,045,965,033,828,964,478,120,502,445,721,564,013,
987,146,170,687,567,209,685,789,894,668,302,914,392,528,163,859,234,397,671,
105,546,409,608,546,942,584,110,626,151,839,750,450,679,700,787,908,445,951,
297,754,484,571,035,481,653,827,505,176,089,533,586,706,299,748,384,578,620,
721,449,663,344,820,164,563,039,628,442,915,514,523,202,546,508,676,799,712,
663,136,224,388,055,954,845,239,149,578,453,914,162,188,640,292,863,473,346,
579,901,471,980,809,837,035,045,868,462,149,905,026,560,819,721,811,972,391,
796,773,718,564,701,009,233,428,237,478,260,556,148,634,135,391,306,179,535,
986,990,369,423,649,391,376,072,570,025,412,848,503,905,676,488,751,007,873,
288,898,350,942,485,489,282,702,477,201,039,188,934,853,904,937,461,286,378,
541,547,375,598,555,332,122,610,703,313,805,109,373,976,778,682,457,340,014,
641,693,518,007,058,380,126,745,456,271,023,399,207,740,625,896,566,397,021,
476,997,262,635,226,244,260,533,300,390,554,740,976,418,387,055,295,945,666,
624,393,478,624,106,584,835,229,394,524,002,905,124,551,352,325,382,143,787,
937,415,056,031,159,331,954,439,067,881,273,492,997,224,785,416,996,507,710,
559,881,382,518,727,063,466,445,879,657,503,501,929,915,219,108,410,914,096,
947,648,351,782,517,991,031,511,970,334,030,966,536,547,581,176,709,512,502,
510,533,544,337,641,289,953,966,443,434,161,775,192,913,213,864,287,948,145,
991,300,435,039,545,816,193,459,216,513,247,117,955,116,306,828,462,994,366,
349,513,314,430,460,266,466,555,556,261,550,276,561,734,853,245,168,637,932,
050,766,685,919,435,754,229,651,037,764,738,300,495,240,446,014,062,606,998,
674,280,315,923,447,721,726,658,143,678,442,471,013,052,911,368,174,186,153,
326,508,638,541,471,742,755,849,256,284,434,203,042,446,459,000,723,760,152,
038,261,608,059,945,035,843,382,824,906,231,327,072,651,599,828,959,906,273,
541,523,116,170,927,547,987,456,813,932,942,266,943,858,858,342,765,800,584,
922,628,632,560,665,521,453,135,133,084,761,374,228,641,384,009,791,136,536,
048,622,672,553,949,867,387,154,610,359,103,020,511,560,234,852,157,710,348,
515,987,368,221,292,213,438,144,495,010,768,186,934,332,429,718,019,384,827,
012,075,836,729,073,278,236,433,301,304,261,585,259,170,304,320,369,805,574,
393,937,508,554,018,937,769,584,505,528,343,845,975,898,124,144,885,300,497,
903,242,880,729,192,381,020,338,743,602,054,529,630,216,267,844,801,135,698,
635,701,128,925,020,662,299,491,639,537,971,746,427,051,048,775,568,574,045,
551,670,408,434,153,266,413,344,545,365,777,840,122,252,608,250,069,566,492,
921,649,252,587,538,522,885,886,353,614,775,699,976,104,219,837,687,302,136,
037,059,721,883,023,693,370,417,879,750,361,271,917,523,753,059,146,851,525,
593,195,651,464,632,197,347,700,170,947,534,030,596,271,055,783,553,977,543,
590,380,661,672,684,867,948,874,364,919,190,110,948,969,660,264,836,791,000,
965,270,930,819,155,798,046,576,415,893,781,868,965,983,890,176,659,181,450,
328,996,914,903,783,503,967,279,619,149,822,514,835,112,118,168,636,829,716,
743,312,567,085,359,661,201,096,409,414,530,241,489,958,104,550,122,688,711,
329,534,804,001,061,838,437,617,017,854,532,655,895,925,536,430,871,026,924,
544,885,583,287,204,993,320,594,288,551,973,745,748,031,992,472,738,667,188,
229,868,055,890,659,755,793,073,400,998,003,366,665,144,658,813,497,327,812,
227,972,603,865,493,439,982,481,226,616,781,542,478,260,369,343,117,545,994,
290,082,403,296,561,810,653,740,598,569,277,361,284,890,676,124,283,423,090,
866,774,354,653,541,955,735,915,167,135,317,068,003,602,958,348,185,003,104,
431,832,004,118,645,261,833,535,037,741,579,567,108,591,491,459,372,817,519,
458,804,318,892,578,109,725,135,842,066,248,906,036,484,265,817,249,096,346,
191,408,191,865,722,583,472,415,743,465,394,785,799,900,241,067,675,161,736,
631,735,815,962,587,437,422,316,724,569,256,055,630,177,115,098,726,628,739,
792,215,817,473,122,389,057,846,292,719,672,277,955,258,624,225,298,499,394,
066,172,395,852,836,505,203,432,966,901,041,903,459,602,306,116,705,654,117,
490,952,970,850,779,704,475,315,997,330,644,344,399,654,634,761,464,811,023,
246,732,384,141,140,860,190,755,967,918,157,122,105,256,489,019,402,231,352,
009,446,279,215,358,346,276,399,144,140,231,350,733,394,205,437,213,030,654,
931,769,230,857,625,084,914,402,700,424,506,299,109,713,172,830,263,683,419,
426,649,776,168,478,926,441,787,722,252,279,748,743,300,035,617,407,204,108,
436,367,193,546,263,194,870,707,547,896,915,308,498,327,121,712,423,890,035,
290,117,367,305,124,569,591,082,316,537,453,980,021,901,130,319,463,774,176,
486,715,176,755,299,677,564,651,236,293,230,527,639,382,754,895,669,020,680,
336,384,044,737,541,476,293,402,021,481,712,709,276,829,777,524,111,703,827,
343,204,848,211,560,034,210,420,252,955,828,176,479,349,110,839,261,558,054,
624,225,953,674,509,370,383,564,533,716,493,397,326,734,427,904,732,729,539,
602,356,111,201,907,423,982,420,658,098,941,512,581,998,227,074,841,954,587,
322,080,120,452,786,344,706,578,570,315,309,006,842,685,212,394,524,336,854,
019,149,370,900,237,251,899,999,855,649,048,340,155,321,561,827,130,244,075,
713,179,568,813,078,135,122,694,422,569,161,552,594,374,149,891,284,532,987,
572,347,577,016,916,810,522,669,886,461,182,286,181,906,955,570,638,947,196,
252,645,286,904,609,576,595,118,202,962,054,912,731,486,720,467,751,771,674,
800,096,831,244,502,881,001,343,804,371,376,887,701,608,270,027,316,326,584,
642,262,688,392,696,276,683,424,433,264,359,729,331,304,318,913,778,475,903,
138,605,743,886,644,724,783,538,911,353,399,417,682,220,776,642,506,149,701,
302,513,926,728,896,411,196,748,418,869,824,326,364,507,231,100,245,254,554,
827,440,956,066,197,517,697,248,643,711,364,104,827,709,289,200,185,208,751,
659,631,770,531,417,868,831,302,232,080,798,219,544,399,181,184,806,433,313,
517,703,500,529,146,615,674,008,115,303,972,897,212,176,063,219,277,072,868,
687,440,801,922,128,215,407,926,609,730,791,179,667,629,884,511,846,573,963,
344,127,511,230,414,773,403,748,920,039,261,162,574,061,772,795,021,266,206,
715,716,310,698,636,700,353,596,859,061,964,381,590,580,224,779,329,092,843,
828,045,966,822,575,303,232,549,709,480,956,404,519,014,851,900,506,628,690,
176,097,092,508,452,177,740,546,735,735,256,009,964,350,484,972,847,988,090,
778,545,474,666,345,717,121,357,067,011,120,093,291,189,235,226,535,421,384,
676,666,166,405,882,719,459,024,688,976,846,295,507,511,510,763,440,002,217,
232,342,339,848,859,636,966,769,352,868,389,357,821,862,508,325,127,229,687,
980,276,134,877,083,803,709,681,599,112,400,070,114,900,085,050,463,612,045,
551,170,316,731,310,734,571,772,694,880,403,511,352,733,677,091,232,386,607,
083,139,471,604,171,477,515,216,795,838,342,237,247,296,975,742,116,755,060,
419,404,172,372,991,466,015,402,602,745,087,012,700,355,834,963,473,778,481,
108,188,546,223,458,982,352,502,876,683,896,383,272,921,188,045,691,118,928,
539,161,973,750,525,830,888,003,072,787,340,938,898,309,554,598,090,088,800,
747,359,995,082,591,170,885,526,558,230,835,619,900,284,175,360,489,063,174,
131,821,238,885,981,883,829,601,525,307,898,263,301,950,740,173,727,682,681,
422,402,482,859,730,498,950,481,177,455,291,603,231,725,346,446,196,784,157,
872,824,084,955,973,931,846,133,752,260,645,757,018,156,852,923,730,155,330,
173,052,161,806,654,876,875,767,545,593,800,062,970,435,478,346,455,099,799,
656,559,307,509,683,726,708,311,651,780,924,511,149,824,774,713,735,718,474,
385,775,023,640,494,369,840,014,220,463,604,405,147,871,954,909,257,145,454,
963,685,467,234,290,160,796,013,802,206,497,167,735,377,025,676,011,204,709,
953,586,902,281,593,844,676,504,808,224,681,689,450,350,345,354,746,034,560,
940,375,425,625,396,688,901,218,692,015,082,325,946,713,198,738,543,657,167,
639,242,635,075,079,530,707,678,115,009,053,962,266,927,716,070,911,861,794,
018,687,508,112,795,777,018,356,762,205,487,345,443,812,756,329,322,748,815,
256,611,663,066,312,518,104,457,091,510,299,063,262,160,485,265,936,051,621,
625,365,035,710,035,791,211,142,157,228,314,955,545,122,552,211,570,492,380,
219,426,631,111,721,214,008,477,317,358,843,716,725,262,180,663,043,746,784,
087,445,051,025,638,853,889,186,411,955,713,480,364,691,258,519,125,391,573,
072,454,082,559,202,687,057,966,848,607,543,829,091,037,909,979,149,682,059,
502,206,184,618,306,101,396,843,528,175,977,020,504,679,462,042,125,355,740,
743,670,386,147,350,755,240,774,541,728,236,254,980,068,554,593,827,923,575,
316,720,973,832,889,831,378,633,438,557,299,309,001,409,529,208,278,179,910,
407,094,980,017,137,795,505,417,771,445,975,208,086,931,145,453,402,124,851,
542,394,563,761,883,962,989,806,574,720,896,236,308,005,995,936,343,251,256,
366,672,714,305,883,395,175,896,350,990,950,733,170,596,389,558,715,659,570,
855,751,255,003,877,137,100,872,639,106,035,718,991,968,526,091,671,862,698,
329,993,026,102,746,074,683,338,300,772,359,979,826,007,361,729,461,947,165,
120,895,316,249,255,621,405,041,800,627,537,749,788,602,327,332,586,499,314,
171,632,997,934,051,200,069,680,350,173,569,265,433,702,287,783,224,818,294,
646,383,371,355,953,731,630,965,152,572,255,507,224,432,978,718,112,117,179,
009,880,351,801,682,585,913,481,068,233,492,687,279,557,522,829,754,629,204,
048,724,723,956,393,068,236,173,139,106,258,715,147,139,531,739,929,718,787,
522,934,454,933,131,986,711,988,660,787,752,132,074,876,536,897,548,826,731,
263,099,990,654,706,066,135,867,068,290,629,597,826,386,514,478,015,625,243,
541,066,986,404,052,873,763,511,083,480,108,255,068,808,597,289,024,768,433,
305,830,143,596,840,308,665,046,224,037,100,175,206,850,150,395,051,394,139,
610,512,463,246,038,263,551,276,922,032,747,225,310,893,005,968,143,480,863,
838,766,386,083,133,124,963,308,909,995,192,619,249,228,498,430,077,417,232,
479,859,298,487,473,897,333,399,608,199,966,262,530,434,466,241,132,233,455,
877,373,703,745,217,264,729,861,665,732,428,480,819,934,515,294,018,633,943,
586,213,143,584,083,951,406,578,986,091,471,103,653,092,646,489,328,775,824,
647,268,018,173,820,356,571,756,032,383,169,553,664,592,917,292,755,286,194,
034,330,087,540,474,664,043,031,684,881,807,216,521,480,426,778,796,080,385,
500,785,937,699,490,470,458,616,385,542,299,760,068,880,798,735,456,302,007,
608,678,102,713,141,807,521,551,525,788,689,385,114,883,480,467,428,577,254,
337,184,191,723,507,087,916,767,287,509,380,097,069,326,423,360,997,328,362,
141,997,723,474,082,642,030,251,342,354,978,630,988,480,095,502,157,776,296,
368,037,746,761,793,403,632,713,511,827,797,204,915,400,596,986,254,362,037,
386,566,421,067,568,416,636,673,566,391,024,429,892,850,236,448,206,496,457,
639,161,062,291,255,959,975,319,439,644,588,549,116,796,696,381,415,217,952,
572,127,695,006,976,067,273,253,046,959,682,299,608,471,243,435,819,622,034,
734,223,130,547,565,152,270,018,095,359,283,203,121,945,412,775,782,214,134,
613,742,442,137,262,720,868,646,057,044,938,932,792,119,711,121,077,526,629,
118,086,826,628,948,071,860,178,217,371,189,351,853,976,623,484,084,688,296,
632,206,248,914,863,474,805,497,185,178,033,497,890,068,715,797,021,610,650,
370,391,881,925,475,909,737,438,638,600,360,172,963,180,139,686,374,310,401,
521,777,383,635,389,986,021,516,935,672,079,815,614,134,708,889,549,612,987,
308,050,843,764,779,602,619,528,126,656,386,226,680,965,486,890,657,454,855,
145,040,136,167,903,601,789,239,984,244,662,668,036,438,483,509,811,116,698,
631,201,499,961,877,690,756,151,683,444,742,792,521,840,987,885,143,932,890,
439,102,099,707,598,351,468,293,219,778,676,022,917,492,016,942,356,865,964,
111,724,798,197,793,440,072,866,344,040,047,694,362,614,049,024,778,812,704,
755,123,909,134,622,165,488,987,399,844,452,610,547,920,827,086,672,187,251,
326,289,188,315,089,472,250,528,608,841,491,578,884,127,309,607,724,772,878,
701,594,890,266,940,654,955,274,192,425,560,817,840,670,249,033,728,144,739,
169,547,887,731,364,454,834,882,084,205,326,595,557,546,247,573,255,221,710,
371,008,290,692,704,651,509,597,116,153,486,836,370,865,252,114,337,445,438,
805,690,050,620,028,226,566,432,323,513,533,032,848,076,113,235,317,108,575,
760,833,213,437,896,167,150,806,902,396,157,191,834,567,155,503,569,642,991,
106,383,889,643,143,947,997,355,531,188,142,517,675,005,050,130,546,660,036,
569,210,898,884,698,196,870,140,528,886,307,663,233,934,032,167,099,596,398,
637,103,849,480,009,953,916,685,660,970,628,216,191,425,748,459,306,391,417,
321,875,329,493,354,863,231,570,584,871,730,532,030,864,487,961,555,772,578,
355,357,436,530,420,120,756,114,462,590,941,777,716,664,108,097,933,875,393,
471,688,097,982,986,270,482,476,027,784,590,281,679,612,768,985,280,038,082,
771,785,042,611,080,816,915,787,008,422,717,772,723,120,382,867,210,158,718,
614,914,532,318,844,874,574,774,887,114,624,222,522,092,311,482,232,172,380,
990,224,075,929,039,866,651,709,985,309,186,560,196,663,591,032,054,995,701,
818,873,086,299,783,764,680,171,714,735,263,089,552,865,228,389,439,431,411,
973,906,372,437,393,902,028,586,422,076,623,865,722,865,755,891,963,811,163,
946,655,206,704,626,514,248,303,982,599,175,769,190,816,333,228,856,997,889,
191,337,773,617,623,254,632,772,878,941,855,972,161,996,405,387,883,290,498,
763,693,052,453,553,456,230,768,900,329,037,769,244,796,701,561,331,529,658,
104,299,519,634,179,446,653,412,559,304,738,889,709,798,221,080,795,831,304,
430,174,142,540,327,796,503,763,587,567,758,266,942,079,265,269,913,644,670,
379,336,509,699,426,604,816,450,458,147,198,639,333,322,347,668,140,426,230,
793,636,481,027,087,831,852,160,609,963,350,096,261,160,647,824,680,679,203,
882,799,040,210,375,774,744,602,034,245,347,938,458,441,259,505,669,711,444,
509,551,404,963,333,472,938,472,315,497,663,483,761,995,650,817,746,589,252,
615,973,417,414,778,019,479,763,766,655,205,416,510,446,893,716,691,761,900,
775,311,052,657,240,501,855,514,450,939,102,954,874,381,333,552,714,416,794,
205,758,241,613,673,435,737,053,636,941,295,027,254,418,684,366,742,023,926,
740,203,629,181,735,781,071,662,053,916,403,978,403,620,936,108,766,720,805,
960,302,756,067,000,341,577,321,038,676,876,821,335,117,545,377,333,263,257,
427,609,173,789,773,376,548,435,494,068,005,858,074,377,704,492,171,373,343,
208,898,230,303,628,661,080,996,933,724,612,330,720,575,904,734,548,284,752,
215,801,625,271,784,698,812,669,781,777,414,215,841,642,726,985,658,780,878,
427,905,321,239,004,962,279,170,614,339,499,424,730,933,761,016,858,924,202,
907,055,637,370,901,745,608,318,836,251,600,415,257,655,796,853,134,084,188,
503,942,784,314,869,776,392,102,971,233,211,495,739,821,864,952,252,031,673,
345,077,113,137,775,356,786,885,830,538,456,253,540,840,884,017,273,761,331,
930,216,529,121,245,553,976,569,535,929,951,657,777,924,675,436,006,352,940,
579,208,617,812,539,987,532,931,455,099,763,809,203,195,186,781,404,185,664,
384,908,642,091,977,814,021,977,244,615,735,668,468,456,122,419,673,395,135,
320,853,825,221,565,205,525,218,124,191,654,323,497,799,528,566,457,029,655,
123,114,566,782,157,496,799,701,940,279,170,360,899,623,437,682,703,263,435,
103,764,196,792,157,210,060,654,705,939,638,236,382,622,826,440,002,806,591,
714,384,825,487,990,584,039,455,761,812,219,467,144,137,472,605,594,765,785,
957,928,639,778,628,927,291,975,835,369,024,553,286,939,089,080,248,101,949,
235,172,118,198,788,799,554,210,395,390,224,908,802,313,409,151,770,633,477,
378,751,174,573,510,803,447,604,967,450,834,543,775,491,791,398,520,288,312,
503,649,703,558,094,992,505,179,655,232,179,026,835,531,954,230,399,856,407,
573,456,596,061,172,417,083,971,008,285,151,868,252,606,120,733,615,594,629,
250,138,383,573,078,510,926,156,932,259,417,301,331,003,195,179,100,099,606,
179,656,464,752,402,437,854,248,586,972,756,347,391,781,030,150,908,722,115,
919,385,026,428,590,378,490,655,767,832,866,912,119,829,469,724,604,961,566,
808,893,675,128,407,323,284,375,008,885,221,028,309,869,650,358,244,728,871,
243,878,210,434,973,712,172,599,267,021,372,637,345,601,514,960,897,742,360,
932,124,845,218,651,648,926,404,006,575,697,060,364,681,848,709,358,088,698,
955,873,213,071,455,542,328,839,830,058,292,758,959,484,307,124,937,286,469,
934,517,084,555,440,924,267,928,680,650,427,328,299,237,646,986,640,516,235,
046,730,131,642,553,518,461,239,978,902,400,380,521,015,242,399,705,172,693,
913,343,331,782,661,602,977,765,283,059,038,921,760,434,254,003,507,400,563,
026,440,671,773,882,577,057,672,554,416,230,259,241,189,273,930,850,294,662,
034,703,593,499,954,761,755,816,407,942,107,872,230,327,046,312,279,658,122,
455,033,785,080,166,074,329,839,623,248,320,440,501,302,005,973,635,090,102,
485,879,058,319,456,407,362,339,487,956,730,575,133,064,000,958,095,758,837,
935,759,258,862,766,602,494,600,369,698,826,748,355,128,317,323,806,161,493,
128,914,533,959,252,560,123,428,548,223,614,823,537,607,715,475,660,200,653,
640,782,783,707,001,797,737,832,380,665,428,383,475,733,928,571,718,697,717,
286,293,542,103,882,332,971,152,522,497,422,982,472,933,320,392,928,190,760,
124,191,417,143,234,124,199,311,665,083,236,985,744,429,365,919,666,627,745,
171,768,425,021,661,567,450,918,878,876,634,104,582,908,685,894,228,190,410,
776,167,653,779,201,550,194,852,173,024,012,535,770,478,826,608,857,918,406,
370,506,708,693,163,551,655,929,064,903,368,636,954,934,313,556,925,881,583,
617,796,589,007,098,032,720,737,729,280,417,276,307,714,493,579,815,061,037,
168,161,050,321,812,567,352,028,631,187,798,118,105,706,091,834,969,043,475,
190,574,586,811,067,439,291,063,594,076,398,484,467,010,115,102,711,722,828,
748,222,944,710,409,828,678,469,489,922,141,964,202,292,377,497,136,058,920,
945,796,836,702,813,352,975,437,055,841,968,497,951,358,360,865,705,871,961,
951,692,395,591,643,622,377,052,622,117,319,903,732,729,422,253,025,280,514,
891,298,943,849,957,329,921,928,859,951,230,566,815,885,994,553,592,694,523,
446,832,019,084,340,856,960,184,186,731,918,597,848,027,638,500,710,322,247,
269,657,396,276,854,445,264,041,228,765,480,831,313,944,472,021,535,095,841,
817,206,400,460,574,961,307,701,963,898,538,851,368,863,555,314,355,620,983,
696,603,836,731,082,068,649,883,979,883,547,343,740,887,528,322,976,420,817,
737,505,896,530,699,760,389,409,037,702,080,096,771,229,655,732,719,686,365,
538,466,397,652,918,356,053,964,958,981,032,634,479,557,729,263,297,919,700,
119,920,870,945,656,467,808,963,158,665,731,211,887,537,076,756,387,235,718,
280,515,391,427,597,381,520,658,310,141,737,045,553,045,438,129,312,079,376,
928,717,586,019,241,562,906,842,541,458,063,865,294,395,779,635,890,390,319,
310,680,079,290,394,385,337,152,271,440,960,877,927,371,777,983,006,688,118,
101,068,744,115,320,102,382,547,260,934,726,716,179,260,471,156,229,736,130,
874,628,450,976,244,007,038,524,035,277,368,332,281,852,906,803,625,191,907,
769,372,750,692,249,759,121,213,273,586,870,606,590,346,695,245,688,259,667,
578,387,086,262,793,230,677,250,455,821,580,294,201,508,333,438,622,345,474,
664,177,996,074,500,760,033,007,581,946,498,237,049,644,622,121,052,934,082,
724,513,275,313,651,346,732,290,072,324,196,473,407,053,462,826,799,804,075,
748,606,478,590,457,621,353,872,588,533,329,425,683,195,543,032,843,000,100,
629,699,569,343,930,802,377,868,442,574,360,242,852,715,295,351,834,175,461,
821,396,086,812,897,800,393,075,409,555,405,774,148,029,742,580,111,203,066,
526,062,364,032,586,692,011,559,540,533,336,221,174,011,324,857,860,256,722,
624,589,363,352,332,852,013,577,520,642,519,059,134,765,806,714,176,672,404,
219,648,003,122,118,602,960,169,469,549,100,640,736,674,221,626,762,951,542,
408,266,792,891,746,321,857,092,451,032,061,496,803,735,744,648,896,397,345,
454,853,745,164,455,114,901,776,173,253,113,948,455,869,711,012,813,539,306,
021,447,892,280,487,745,637,693,812,411,456,129,323,872,825,787,192,090,468,
803,068,839,916,383,433,955,687,237,009,064,619,457,432,504,610,595,711,406,
448,265,367,407,871,715,891,986,570,075,355,529,035,634,607,616,282,146,696,
397,696,562,522,920,748,154,545,352,681,596,920,200,702,875,634,223,554,669,
840,285,290,292,427,975,534,240,891,647,868,785,019,271,281,330,791,000,756,
506,899,061,265,820,508,625,321,573,247,751,951,732,477,907,581,060,206,590,
312,384,479,514,920,856,354,281,684,095,790,667,976,241,852,016,134,454,601,
207,578,457,791,202,554,433,700,597,633,653,629,164,999,565,801,706,115,190,
251,380,258,389,339,228,651,987,193,701,539,050,877,383,822,436,317,361,171,
388,234,890,987,146,541,797,357,850,362,187,571,109,003,147,153,742,503,397,
548,639,350,727,125,792,828,689,252,237,918,496,322,272,870,179,875,778,177,
413,707,064,120,877,137,038,624,104,133,711,096,093,765,443,294,463,124,408,
401,581,330,524,054,580,412,040,590,754,568,672,023,981,612,457,180,017,300,
869,787,820,021,767,456,338,587,821,481,397,688,011,072,506,137,312,533,232,
009,922,449,118,272,442,208,277,684,376,023,197,715,351,134,302,441,122,352,
489,501,641,925,265,754,874,413,267,694,946,214,250,958,302,369,361,164,587,
122,376,336,829,263,492,317,647,128,788,835,906,407,505,624,261,247,578,910,
045,025,293,019,437,045,840,136,853,918,088,225,987,089,666,785,937,347,634,
721,846,003,371,898,690,121,104,707,126,451,154,539,490,057,758,908,749,378,
331,821,340,201,908,334,834,425,766,961,961,691,212,957,852,408,325,098,188,
594,926,746,581,822,719,178,433,663,933,473,022,869,202,070,452,894,955,011,
646,435,066,186,608,376,473,625,131,880,016,001,494,275,383,528,197,923,096,
386,880,534,952,434,056,804,675,361,435,806,826,079,610,921,395,722,165,823,
620,431,297,993,529,748,824,414,161,863,337,670,696,543,960,095,807,769,836,
000,752,704,733,910,018,517,680,346,331,220,313,256,527,959,594,983,151,331,
423,924,529,480,602,033,115,638,331,622,789,752,185,452,735,107,425,403,182,
253,356,531,220,972,571,365,286,878,237,824,644,360,030,233,986,089,253,735,
199,472,860,894,132,860,159,733,104,702,721,617,287,057,958,872,391,608,600,
611,415,703,766,060,903,312,937,653,186,647,938,989,314,968,076,752,577,417,
913,982,610,241,620,838,216,875,607,622,831,527,036,937,061,404,803,423,926,
220,067,028,462,605,166,211,348,652,957,896,771,298,546,403,048,945,562,748,
962,500,287,035,906,193,686,691,832,186,552,844,900,413,335,502,565,516,221,
157,091,980,449,678,918,601,815,764,293,443,178,421,549,079,898,711,548,624,
517,428,654,366,485,706,575,867,459,051,823,384,733,184,727,011,450,868,672,
529,667,735,950,829,145,753,876,903,142,197,119,418,461,731,816,408,799,624,
238,398,672,926,424,226,209,433,045,210,134,424,991,600,219,622,976,354,838,
596,661,367,624,735,251,623,618,032,215,887,863,939,867,169,292,166,626,256,
334,558,194,328,837,486,122,991,294,408,066,659,791,681,532,351,583,526,950,
757,128,679,959,037,164,560,867,304,604,332,808,459,151,743,425,763,271,284,
477,966,146,491,701,116,701,393,252,384,312,783,697,338,707,121,131,252,174,
642,569,308,266,634,054,017,091,166,595,414,789,376,916,484,531,058,769,835,
176,140,227,414,255,133,480,423,740,642,557,087,669,485,069,002,460,946,258,
950,732,134,069,247,227,330,451,722,439,250,669,953,985,609,763,792,682,643,
191,969,326,978,702,437,160,883,792,640,279,931,537,229,818,819,504,398,229,
859,039,305,347,130,963,510,651,288,438,383,339,786,823,163,947,603,699,126,
399,607,737,047,302,364,792,025,592,796,527,715,372,820,202,009,489,462,397,
155,265,368,789,191,708,354,129,961,298,347,381,472,142,383,622,706,114,422,
339,981,924,175,458,805,809,266,913,837,386,002,262,224,910,730,398,325,300,
716,274,196,354,083,826,085,705,998,660,832,015,957,703,872,534,201,843,161,
842,880,976,066,912,854,014,780,087,650,427,907,576,818,988,171,467,803,115,
334,979,836,738,261,194,428,056,763,494,373,939,902,778,687,120,010,725,171,
423,986,689,669,119,809,930,707,848,537,915,333,162,106,472,469,114,244,695,
706,681,512,937,605,074,578,653,538,986,707,913,207,458,917,664,237,029,993,
217,237,597,238,255,492,031,395,274,945,381,376,595,072,887,281,698,096,085,
879,099,380,824,014,532,541,587,901,580,788,461,237,436,770,024,270,707,844,
257,517,177,567,996,551,943,822,343,715,582,351,970,301,710,403,320,860,940,
039,318,888,864,524,454,285,447,681,752,180,659,168,172,718,551,001,114,684,
746,346,988,028,899,165,075,359,152,509,160,489,342,937,465,257,900,289,747,
718,608,467,323,478,563,668,890,526,653,290,439,420,572,017,555,411,969,900,
893,935,238,348,973,617,951,934,643,284,141,107,118,550,185,863,574,787,636,
036,020,580,972,786,375,258,834,692,605,347,814,078,561,355,263,378,942,001,
205,523,320,070,809,164,970,671,973,590,528,015,338,184,067,849,290,540,068,
907,899,076,553,141,203,090,000,482,760,649,438,860,909,619,598,714,670,346,
757,035,364,124,636,758,059,181,749,310,444,647,574,551,394,522,878,678,102,
164,382,016,012,500,408,342,914,855,952,441,688,746,486,315,306,585,100,176,
892,466,708,752,271,249,434,236,102,056,366,557,108,409,161,665,750,964,207,
695,556,439,892,529,218,323,715,724,292,040,305,930,395,120,639,996,813,551,
643,876,469,657,613,647,271,731,182,274,630,744,007,292,980,702,346,364,994,
312,372,879,768,486,107,021,069,507,222,128,467,975,289,187,043,118,554,054,
884,470,174,947,388,176,402,909,017,337,815,498,263,447,042,571,132,811,974,
001,842,945,026,324,609,514,121,673,610,814,279,254,080,996,019,733,958,521,
493,347,045,671,460,506,269,755,428,416,673,785,934,728,895,218,532,738,906,
898,216,332,602,686,216,747,194,273,255,306,096,023,790,712,372,316,828,292,
186,942,911,617,403,845,182,365,034,058,543,781,059,702,733,898,787,180,235,
257,738,844,285,091,335,094,655,623,756,951,451,188,982,126,560,239,039,752,
614,302,401,441,032,806,534,093,818,623,392,781,131,225,622,647,159,431,063,
592,317,015,722,802,861,932,412,395,945,158,531,356,492,277,281,769,661,096,
600,143,420,947,835,029,454,621,958,587,327,346,972,021,535,295,349,248,455,
409,549,293,822,470,291,635,076,252,830,448,040,490,266,677,058,845,198,650,
569,765,152,946,249,337,750,669,887,141,586,782,564,005,746,141,964,519,228,
600,023,618,360,563,060,487,986,387,859,406,728,169,366,332,905,199,529,118,
169,238,999,528,684,828,260,412,978,375,909,413,924,509,963,533,905,524,267,
062,179,395,028,254,123,400,381,973,647,405,070,919,799,229,321,646,569,581,
660,885,757,524,197,626,546,311,178,192,565,175,837,529,827,165,434,726,632,
821,733,614,670,486,460,888,129,541,225,556,087,809,027,563,315,332,795,176,
841,782,079,587,514,805,144,569,570,817,598,332,701,527,336,029,595,280,275,
777,547,913,289,943,878,897,406,852,664,549,016,903,330,171,627,221,735,565,
534,126,253,077,718,351,965,025,165,232,890,995,826,063,156,863,444,619,443,
437,722,100,175,949,983,336,917,831,025,807,107,030,728,543,999,922,629,738,
010,252,047,384,443,597,670,031,471,654,247,673,726,886,244,956,916,650,126,
655,909,867,432,775,791,922,510,975,085,009,927,017,820,388,957,230,083,816,
959,205,224,428,552,807,378,888,547,239,094,009,662,612,344,043,344,422,756,
571,905,562,793,084,037,891,170,409,058,820,593,317,303,848,037,911,318,700,
838,962,020,555,043,586,616,691,823,161,433,734,518,309,675,026,586,736,083,
024,948,012,717,375,600,246,695,757,181,416,401,293,650,399,203,244,205,130,
624,666,212,614,442,895,550,234,750,265,660,152,727,734,317,393,820,574,808,
540,594,589,372,085,367,767,717,802,450,912,563,944,411,666,951,190,543,044,
384,199,278,532,387,785,446,433,051,124,110,785,772,948,241,974,661,230,735,
915,446,970,200,467,158,568,301,705,938,367,539,501,090,574,432,435,227,906,
685,513,143,246,141,491,092,934,183,160,277,492,575,420,634,661,521,401,882,
822,195,689,987,384,929,104,701,240,897,022,500,805,497,839,463,169,768,373,
549,370,965,318,890,999,723,776,875,390,850,413,526,502,119,472,381,522,385,
501,507,426,101,604,414,940,827,173,939,771,332,513,552,654,461,243,001,916,
360,727,646,398,543,469,569,929,352,605,999,195,998,081,771,054,095,690,001,
754,911,333,278,196,424,311,996,357,990,725,286,484,365,090,678,655,973,725,
696,823,088,549,668,182,862,244,637,744,381,925,286,299,412,716,793,413,985,
182,597,907,651,032,499,256,213,087,464,460,317,580,680,618,342,626,426,884,
998,055,924,656,886,194,762,523,080,086,459,637,684,742,067,244,128,467,093,
469,483,778,478,699,426,315,180,764,925,617,151,367,447,995,913,960,218,275,
062,613,030,564,426,789,642,673,311,727,699,694,589,259,545,820,102,408,735,
159,031,316,901,887,892,657,239,758,661,057,521,701,618,963,832,883,649,544,
328,887,780,605,630,334,629,300,254,257,411,029,524,087,264,018,361,226,318,
713,094,295,996,624,207,856,770,503,351,197,286,028,326,515,190,339,117,772,
710,417,617,336,675,972,207,753,694,424,754,467,093,710,174,025,204,504,080,
662,178,515,287,907,108,514,025,980,738,024,099,723,778,317,312,172,600,544,
882,407,583,073,008,690,342,783,022,494,974,079,127,476,249,838,420,839,029,
085,108,865,304,903,210,982,235,474,796,223,230,021,864,509,244,874,201,470,
846,838,923,701,919,140,583,240,706,316,747,566,675,657,729,340,512,190,610,
578,157,067,293,798,454,143,075,160,593,205,143,836,983,953,842,054,103,936,
346,193,582,962,483,631,866,199,606,207,737,314,639,040,409,583,045,576,271,
049,618,270,723,757,317,428,085,005,496,912,642,638,687,257,890,080,574,000,
121,311,905,575,467,795,258,000,108,886,280,196,407,326,295,414,953,476,571,
867,430,898,392,324,627,152,488,106,305,674,769,147,403,932,949,147,697,870,
201,405,832,656,911,176,996,449,321,395,730,034,009,486,917,663,225,722,308,
941,317,086,189,648,815,518,109,820,872,769,045,550,208,676,015,419,527,891,
776,057,554,093,398,016,525,304,555,634,745,861,120,429,782,661,816,811,667,
837,659,420,365,038,690,105,722,729,646,904,352,028,805,286,491,549,592,359,
821,559,633,259,852,935,973,336,407,989,660,213,705,170,819,490,165,783,953,
257,434,277,118,627,681,171,806,473,364,231,338,792,921,667,250,017,677,254,
650,833,985,981,230,178,775,436,574,453,573,967,779,846,436,675,019,700,360,
411,820,810,056,756,389,846,038,424,488,090,800,792,784,508,381,216,269,236,
464,081,763,705,187,470,182,636,561,510,641,432,674,682,506,946,209,438,570,
090,614,421,160,365,905,804,769,119,617,292,133,633,498,246,390,998,240,218,
375,343,410,175,601,031,048,102,579,161,499,350,046,146,439,944,063,154,912,
028,765,531,955,002,246,990,547,858,480,068,346,900,109,804,728,559,635,814,
467,232,573,589,126,789,093,804,394,700,301,052,811,594,043,946,245,066,082,
064,048,791,712,250,885,638,530,059,366,790,960,456,584,530,389,639,539,500,
570,255,801,362,861,970,905,857,545,576,768,253,565,401,457,169,973,804,986,
256,817,699,723,415,025,910,217,930,150,635,636,311,536,729,318,678,050,501,
290,652,837,995,710,163,848,466,756,895,861,975,384,146,095,911,857,986,857,
599,351,016,626,860,222,538,552,347,769,279,354,429,862,336,354,937,579,034,
877,498,233,640,557,862,956,867,853,427,294,269,338,608,653,536,627,372,782,
828,461,938,758,795,160,524,254,136,474,035,151,907,982,522,222,284,425,447,
176,139,433,101,444,486,407,244,065,565,461,219,105,427,637,272,765,010,073,
418,384,476,563,472,225,350,094,089,983,572,999,291,878,758,387,305,368,632,
461,775,075,095,633,760,315,328,959,594,195,061,306,642,206,353,458,709,371,
262,490,995,033,899,866,142,347,459,960,040,081,767,046,035,757,932,837,910,
013,850,742,398,977,411,390,522,403,968,391,614,850,072,936,081,452,473,425,
088,219,795,576,313,380,937,702,817,541,544,002,248,378,732,096,806,378,225,
500,601,736,974,768,319,540,504,875,883,319,183,856,418,792,194,546,437,102,
892,561,675,070,978,748,722,256,863,558,839,838,486,698,602,142,936,760,384,
821,507,514,759,378,393,547,694,676,895,788,231,922,718,488,775,834,453,234,
540,620,695,215,882,623,149,349,321,942,384,450,890,387,489,498,690,044,187,
622,669,290,549,898,441,822,094,131,775,690,536,243,251,124,829,762,067,001,
452,748,125,550,544,443,169,566,980,583,843,060,261,465,451,750,930,190,950,
746,411,557,105,525,323,395,334,688,791,223,427,985,824,962,861,721,404,048,
852,551,212,200,470,951,444,353,931,150,142,527,833,083,685,603,651,619,821,
080,936,555,960,160,727,834,389,052,175,574,158,520,140,502,356,764,607,834,
555,549,927,190,101,614,585,501,759,913,769,427,787,601,954,875,629,913,212,
587,742,772,950,854,311,611,244,992,062,019,007,756,663,591,640,580,291,794,
838,275,501,272,099,422,990,892,164,606,373,869,455,319,811,600,413,152,112,
241,219,953,081,660,448,257,046,880,147,475,286,692,691,048,692,359,791,505,
866,303,543,307,963,956,199,928,780,651,612,498,356,990,789,342,211,846,012,
205,419,369,116,864,508,823,549,070,191,080,341,237,978,265,971,799,441,717,
129,548,188,308,764,041,888,511,460,797,142,969,580,539,705,377,494,263,131,
613,699,781,065,893,567,550,313,653,532,070,777,805,454,785,239,992,744,697,
955,858,342,433,602,834,748,067,904,301,549,566,228,911,000,766,081,151,817,
110,753,964,458,012,047,790,367,176,705,418,435,354,556,459,718,762,033,400,
149,012,995,678,792,526,133,497,219,614,249,394,246,269,397,328,791,312,687,
501,414,946,690,948,705,022,156,272,620,662,556,463,426,577,950,592,506,635,
165,948,852,162,667,712,622,373,773,358,554,331,714,716,524,502,536,961,253,
103,840,158,612,391,473,650,168,803,931,227,655,701,370,288,927,299,376,542,
734,422,715,065,325,821,232,837,510,636,883,120,816,125,314,342,741,431,499,
487,686,210,248,678,699,861,123,911,133,356,795,729,981,832,051,989,715,329,
330,839,973,586,900,401,427,257,053,083,239,080,297,185,062,614,267,608,261,
712,440,919,010,217,586,196,244,234,306,841,822,022,969,781,244,312,139,834,
360,042,734,480,277,576,031,376,582,143,245,530,180,872,436,801,339,941,418,
008,022,752,626,447,323,850,514,472,733,367,562,459,804,722,601,395,965,743,
953,019,813,204,899,365,894,825,028,464,474,503,916,381,946,987,275,740,592,
985,941,602,400,784,594,007,540,949,555,646,473,341,679,990,587,799,880,194,
295,910,306,377,865,310,673,771,223,938,303,857,526,347,056,423,172,906,459,
278,543,381,926,699,695,698,806,203,863,515,031,636,047,434,336,551,167,749,
555,388,936,421,748,742,533,862,005,248,613,048,797,516,211,456,125,041,312,
493,858,294,558,121,524,438,764,516,482,427,915,967,662,435,071,949,159,679,
339,112,707,243,689,212,135,396,356,717,470,222,694,621,457,301,584,361,833,
778,913,115,496,191,988,295,980,520,180,460,769,432,542,124,010,251,924,278,
453,314,546,732,940,284,114,354,940,979,367,665,951,251,322,625,272,112,595,
044,888,849,778,034,972,626,186,449,896,861,538,548,074,725,465,820,971,693,
901,147,169,569,880,241,641,201,544,197,000,155,371,424,534,420,102,571,296,
310,706,917,442,532,393,613,180,370,813,623,807,339,789,921,306,287,911,754,
872,919,751,277,512,104,648,141,006,667,586,828,294,990,059,450,534,311,410,
779,108,648,801,098,872,762,871,292,842,194,132,430,999,898,123,296,059,988,
051,000,426,976,304,252,048,085,869,706,895,610,638,192,164,026,283,743,836,
534,891,286,052,815,801,381,105,127,158,605,879,309,838,236,582,102,580,001,
001,102,057,124,854,252,928,208,297,133,733,776,343,150,299,747,400,036,721,
865,692,748,709,401,312,451,147,597,503,971,922,674,741,385,830,134,802,679,
549,743,658,957,059,218,747,054,538,109,905,769,566,768,607,805,822,183,117,
563,581,712,178,539,278,093,285,030,511,498,393,661,591,993,323,041,424,510,
241,613,783,811,808,966,995,926,163,087,679,631,240,017,864,986,630,875,562,
520,905,683,400,847,903,536,292,924,394,950,656,152,890,183,569,411,905,821,
630,497,693,227,329,048,765,873,553,586,581,948,916,827,935,228,706,445,949,
579,451,030,739,903,270,814,324,048,032,570,551,873,387,043,973,504,094,142,
478,577,487,529,859,817,089,916,571,757,135,179,818,249,905,970,881,129,824,
733,674,320,968,700,359,508,428,132,186,668,476,000,878,357,241,001,596,761,
764,267,758,220,022,017,806,749,789,772,772,595,025,509,279,010,048,557,607,
830,796,265,787,964,027,799,074,727,155,694,262,002,568,795,861,725,691,678,
740,486,190,442,185,431,867,728,517,930,442,738,347,251,826,193,475,972,831,
879,955,328,096,315,145,598,458,308,239,578,092,515,861,998,578,900,417,957,
924,425,466,146,178,483,049,952,226,831,852,953,226,884,951,579,747,716,698,
515,087,312,158,171,207,686,030,090,499,535,364,153,413,068,344,142,216,009,
605,729,279,817,858,549,121,526,067,937,177,424,324,820,411,125,308,168,595,
113,444,710,102,074,983,747,436,294,143,242,114,507,628,351,721,019,823,782,
142,649,380,044,330,951,203,253,840,281,119,607,605,631,249,893,517,407,679,
420,120,484,003,092,182,722,459,325,484,959,884,311,275,910,341,227,633,981,
901,705,046,482,769,002,736,488,318,469,605,788,988,971,033,042,899,757,350,
291,729,765,642,645,029,199,419,556,387,525,164,483,989,441,304,283,900,505,
594,590,206,469,715,131,326,987,094,464,637,807,689,700,266,620,725,456,864,
012,288,655,436,500,056,334,667,954,293,412,346,937,372,328,981,282,368,434,
215,434,086,235,655,331,251,462,695,431,235,351,194,732,180,286,574,664,166,
625,050,777,883,385,485,696,732,183,681,088,159,872,734,924,985,176,003,512,
269,646,089,394,801,489,153,333,771,287,121,832,607,720,829,344,420,890,512,
115,238,287,808,318,397,539,276,280,497,585,868,611,802,223,164,052,077,893,
730,250,590,829,880,720,992,122,101,179,031,855,526,799,861,395,038,721,360,
739,476,544,251,345,857,487,269,135,250,343,767,262,998,684,746,883,256,299,
188,500,181,152,186,791,431,976,514,761,586,611,361,492,951,177,784,779,107,
454,922,687,787,576,451,658,587,197,023,216,893,430,900,589,137,396,352,036,
284,952,416,631,987,603,037,771,575,661,805,792,181,755,332,129,528,069,378,
114,142,350,814,464,487,265,591,372,617,840,209,969,039,809,274,423,410,420,
126,105,792,498,855,055,323,315,471,640,400,971,044,169,363,150,764,340,353,
642,002,710,994,640,874,506,909,988,030,318,617,995,343,551,384,370,200,411,
278,684,787,765,540,513,514,629,837,942,111,053,023,965,093,696,973,535,934,
682,525,920,381,549,756,861,800,943,349,319,090,247,853,292,832,451,119,079,
573,140,902,078,536,287,109,028,153,233,446,156,487,514,359,344,417,194,974,
426,466,600,462,768,985,702,075,374,991,166,355,171,389,637,676,374,818,348,
323,288,000,845,096,722,986,097,209,049,744,285,056,305,754,734,553,864,169,
540,741,409,985,976,321,210,127,279,269,844,221,007,343,180,266,396,741,620,
246,711,667,384,501,371,417,900,768,294,332,090,693,210,400,114,087,285,122,
758,800,509,755,991,379,069,601,054,863,586,624,208,325,485,160,645,058,303,
474,996,487,620,550,525,640,042,989,671,013,717,019,012,302,954,243,503,098,
122,673,662,319,586,647,137,428,968,775,141,650,121,632,403,664,110,724,120,
407,734,800,310,469,641,008,381,753,885,164,319,943,238,626,527,958,583,229,
155,281,919,657,489,040,700,223,179,058,539,892,808,320,353,756,661,980,885,
710,540,693,107,298,156,284,072,709,862,698,581,019,242,380,518,759,268,173,
598,007,355,387,272,693,750,019,614,278,977,853,001,211,737,481,516,658,639,
076,738,221,274,786,123,011,705,186,339,555,323,211,615,836,535,476,926,325,
967,279,112,390,567,961,358,535,037,826,823,418,250,109,585,056,775,515,710,
894,359,990,557,420,853,646,071,026,189,316,489,870,112,355,575,948,977,465,
011,467,150,655,269,774,383,242,357,757,037,759,035,004,719,815,827,714,507,
090,928,808,769,081,081,411,644,599,948,916,081,765,453,053,257,761,366,808,
026,750,932,580,429,942,461,891,666,736,119,925,378,255,551,998,885,140,885,
857,616,988,337,927,275,180,289,206,663,577,341,560,684,594,750,055,234,377,
551,404,672,673,585,210,551,261,328,518,762,523,036,482,790,877,642,414,594,
017,525,759,105,153,292,851,452,250,375,354,731,173,761,941,041,922,415,788,
114,525,534,216,716,964,534,656,547,835,521,258,527,353,265,276,414,379,602,
988,678,136,403,724,574,231,895,076,182,818,441,716,368,425,805,791,933,871,
084,082,593,486,610,978,488,773,145,800,396,016,283,235,930,121,552,953,779,
318,091,380,797,651,696,199,599,242,905,924,485,983,645,776,167,381,169,354,
732,400,033,045,680,367,090,916,347,960,469,308,469,957,314,995,232,510,275,
492,856,371,503,367,419,181,681,265,624,264,894,543,424,569,716,655,932,051,
344,868,718,578,488,894,997,947,567,762,108,527,497,822,186,070,769,799,473,
445,790,727,776,168,900,531,471,995,499,284,468,305,709,730,514,204,543,419,
285,628,807,490,066,753,228,491,728,455,125,769,332,894,534,891,871,251,226,
962,973,345,177,603,588,390,750,709,826,455,329,346,938,414,792,504,446,780,
827,863,128,128,607,111,102,333,830,301,191,951,029,432,809,180,586,560,362,
704,367,291,260,175,399,194,926,637,748,888,328,846,241,805,573,324,701,716,
397,824,456,171,422,292,923,369,568,996,127,157,730,624,223,489,337,315,348,
775,436,157,733,174,324,173,329,650,125,793,573,904,164,150,804,086,604,923,
063,547,539,154,167,170,901,975,753,352,971,100,385,898,343,208,311,186,092,
183,018,659,497,639,767,926,625,549,415,570,351,814,930,709,907,116,648,195,
451,959,805,032,020,571,893,984,740,019,184,118,499,464,982,277,088,498,563,
438,348,367,504,729,803,061,921,320,396,781,838,550,358,613,346,143,926,992,
596,663,692,924,791,743,741,018,396,886,378,777,902,954,263,634,032,674,680,
913,396,033,296,701,805,009,329,488,894,119,356,645,733,629,726,102,854,843,
179,091,281,763,140,543,773,849,605,785,145,026,022,494,212,576,467,922,412,
576,466,507,507,563,072,737,618,886,728,465,089,847,306,571,525,236,717,867,
699,125,387,495,891,735,109,833,012,032,992,806,875,161,710,755,956,614,402,
714,945,124,860,244,170,346,209,868,736,207,815,903,021,070,659,815,788,494,
629,458,280,272,989,761,776,172,393,134,485,356,303,245,764,889,655,161,645,
357,895,511,257,869,545,642,516,636,420,427,728,318,844,246,386,727,371,257,
735,999,273,804,307,464,511,565,670,165,114,213,720,078,555,412,079,458,401,
096,643,551,401,784,054,576,786,156,479,488,637,164,939,898,679,385,822,317,
128,357,995,134,177,277,335,878,554,931,675,008,720,518,944,532,423,458,008,
212,537,152,628,921,169,838,651,274,545,203,496,452,029,229,311,991,138,736,
440,820,708,525,824,731,575,047,895,593,562,608,775,194,708,348,156,848,631,
847,869,206,752,414,171,352,635,038,993,828,859,856,631,245,561,061,952,572,
416,697,840,047,240,129,683,490,791,324,535,548,144,422,560,886,602,124,722,
693,170,272,587,068,569,639,845,995,139,199,743,963,665,231,363,510,845,564,
485,427,861,290,440,092,320,880,281,405,580,579,909,137,243,770,669,432,416,
293,799,075,197,524,396,871,318,439,976,149,374,523,468,166,746,919,112,419,
951,705,539,016,930,716,855,449,389,967,535,059,704,654,133,949,950,107,086,
634,868,220,614,189,890,850,113,931,359,053,462,944,485,343,396,890,123,010,
703,163,250,313,027,625,492,363,691,635,192,306,696,957,958,459,012,963,406,
442,059,081,716,163,018,725,491,467,877,375,917,010,253,690,823,539,943,118,
755,180,344,954,824,750,705,216,532,247,263,474,149,025,565,622,957,731,352,
034,072,557,358,564,942,795,246,101,221,605,248,956,200,699,985,695,167,325,
716,052,553,812,952,867,459,973,892,221,469,076,061,267,581,214,703,619,278,
202,762,596,288,308,572,161,313,512,761,259,723,265,574,916,037,924,802,335,
767,920,571,720,410,171,303,223,363,805,010,544,909,269,714,168,260,732,188,
537,229,174,931,094,145,670,619,748,795,884,747,061,209,577,771,957,141,686,
103,183,674,613,986,053,239,459,504,477,309,178,394,435,656,681,840,811,076,
222,571,125,632,084,715,400,441,116,529,065,943,692,878,701,289,038,744,523,
092,109,539,612,756,124,363,190,515,367,792,663,965,692,556,146,863,176,633,
053,818,978,475,870,282,428,120,090,574,992,970,759,746,245,632,620,955,627,
117,789,088,661,773,418,161,439,020,553,304,621,625,134,876,405,069,082,057,
122,751,772,887,420,195,090,319,636,284,480,703,927,137,498,012,338,650,794,
079,986,111,173,746,129,230,254,971,172,487,610,818,742,538,769,466,294,329,
355,977,614,043,799,373,570,435,591,148,617,081,485,990,335,352,304,795,164,
393,738,658,074,833,117,610,310,952,946,947,478,014,236,028,236,174,776,936,
088,651,521,515,795,596,191,993,605,841,073,742,905,160,063,589,603,271,123,
291,084,179,368,136,133,342,405,755,501,481,610,645,083,664,615,630,080,299,
601,035,102,324,816,821,259,410,353,693,916,181,487,298,474,654,476,481,489,
670,612,122,004,452,764,844,607,736,783,265,919,489,780,633,201,657,876,648,
087,348,057,038,062,918,346,822,408,108,332,347,412,226,993,949,077,833,655,
015,516,236,415,236,863,065,745,021,627,632,505,648,867,103,070,683,486,172,
097,346,734,434,894,383,063,242,523,576,988,169,584,915,505,934,245,286,403,
553,880,805,539,487,663,424,427,996,965,643,894,341,894,103,640,816,176,160,
899,605,173,460,444,324,939,731,730,954,645,733,662,720,670,148,443,370,786,
103,805,075,913,866,244,705,823,494,289,876,408,731,264,931,848,340,086,426,
350,440,148,438,967,709,190,516,308,791,982,078,269,973,664,971,671,173,500,
482,744,399,646,131,588,256,966,993,778,417,699,505,268,674,313,814,478,980,
854,621,075,890,103,175,031,897,460,542,646,114,322,970,906,373,477,993,720,
445,574,090,800,774,443,277,200,390,905,536,570,594,297,717,233,141,573,726,
550,920,182,621,679,811,391,638,456,592,562,823,573,118,870,408,306,777,619,
777,922,336,839,769,545,960,869,141,162,210,982,786,728,993,639,854,290,508,
603,785,019,746,018,647,183,088,522,942,955,576,322,917,377,657,361,969,773,
901,793,545,728,463,827,187,126,226,290,116,294,825,122,604,271,101,424,482,
331,839,229,383,793,608,773,972,154,368,751,226,467,423,192,856,894,529,593,
281,084,810,097,790,080,933,081,317,048,469,399,484,001,335,305,344,995,045,
675,120,468,003,187,147,597,519,532,668,549,358,756,821,511,745,842,665,253,
060,561,568,338,025,400,839,280,763,035,681,819,697,851,159,215,158,091,339,
329,229,064,787,377,408,454,907,051,982,018,532,197,874,804,430,663,396,168,
278,320,351,443,479,132,573,582,067,211,212,766,811,702,083,096,854,221,656,
424,799,250,256,779,371,322,806,966,153,660,648,444,759,595,153,623,147,106,
224,420,624,766,053,638,116,731,021,684,675,354,558,722,076,417,708,189,788,
112,207,444,254,198,064,835,650,004,065,817,432,596,538,121,960,590,741,926,
664,351,703,424,706,821,997,219,235,891,640,583,292,370,495,769,634,969,858,
058,954,092,364,246,842,249,421,857,862,639,292,114,759,312,213,405,592,423,
092,147,227,235,488,011,345,485,795,001,189,978,414,420,665,776,450,656,672,
006,586,064,920,174,295,355,244,409,239,097,257,311,079,628,650,694,630,797,
516,717,600,636,702,043,754,102,064,932,120,907,428,903,104,352,174,441,523,
994,059,286,884,461,234,113,752,940,419,230,600,377,992,315,710,111,351,556,
994,222,346,477,417,315,102,623,485,329,834,777,451,449,728,870,827,555,657,
354,821,129,905,801,130,949,215,959,668,050,574,573,659,304,953,452,370,945,
567,038,773,174,862,717,309,886,017,443,568,395,589,148,222,966,795,605,037,
833,374,058,092,429,062,929,536,679,268,717,322,538,326,026,489,575,173,045,
645,850,723,634,379,584,884,574,436,905,176,830,954,168,090,130,020,807,485,
375,892,913,007,336,474,490,177,281,905,956,453,186,701,973,331,796,303,281,
595,577,650,740,642,452,171,087,525,627,941,314,900,945,341,984,886,194,744,
559,572,043,062,311,693,300,560,002,225,852,406,505,851,311,138,510,873,869,
441,353,843,395,347,016,480,870,822,121,383,852,509,615,828,152,456,516,388,
835,483,928,132,066,542,909,360,064,208,783,912,542,729,341,555,954,224,024,
705,118,493,007,800,381,134,330,658,997,285,328,882,279,813,430,483,006,769,
044,216,844,928,004,231,772,272,852,471,827,921,299,385,396,784,662,030,122,
632,197,658,040,273,356,023,249,732,935,928,546,925,100,232,128,255,497,715,
950,505,207,765,029,979,991,971,575,506,111,956,831,233,114,133,624,047,160,
055,338,958,497,413,570,353,446,761,244,015,621,836,331,037,951,108,722,524,
583,018,022,557,090,741,200,383,160,515,383,015,783,920,865,500,736,545,307,
912,990,378,359,787,324,897,757,479,256,682,236,151,799,037,801,145,134,582,
597,486,260,764,724,441,376,884,195,473,110,487,488,208,162,088,144,464,777,
842,582,763,982,852,822,663,451,722,840,826,653,328,836,225,219,656,885,216,
919,345,349,360,199,997,336,797,538,506,269,882,798,408,677,820,175,629,125,
245,029,508,768,487,880,336,602,965,290,496,326,504,898,968,446,371,307,074,
146,262,351,484,779,839,801,741,646,286,759,796,867,458,147,934,472,588,510,
604,402,222,715,841,029,139,741,133,241,949,362,549,656,143,082,582,499,639,
510,340,847,788,010,260,959,259,097,998,908,342,749,602,253,996,500,326,270,
332,803,891,053,559,916,068,915,942,101,705,112,593,771,259,212,895,509,083,
488,867,731,771,657,709,390,667,611,730,034,034,331,444,382,730,426,335,771,
142,997,377,674,594,184,484,462,751,753,863,994,274,491,970,669,284,761,353,
927,909,578,807,313,177,302,005,885,378,148,091,024,292,652,464,216,109,617,
864,630,685,671,226,529,100,001,968,563,909,218,438,001,290,563,288,934,661,
539,051,359,955,952,331,867,005,680,455,361,265,758,579,808,518,152,066,335,
264,803,981,517,644,823,810,044,180,623,989,018,448,992,580,878,950,497,264,
582,801,584,833,321,905,953,509,188,342,248,384,329,898,451,577,992,959,778,
121,881,642,430,451,991,493,081,990,969,836,108,649,230,714,271,869,882,362,
026,158,393,507,762,191,560,691,312,692,932,984,700,555,472,184,829,790,733,
690,345,858,009,200,271,101,070,689,323,925,307,536,307,581,969,207,069,226,
177,021,793,727,374,631,249,014,998,348,818,231,923,161,204,950,450,598,447,
727,294,567,027,845,450,808,706,728,418,124,390,930,402,873,519,279,914,328,
470,402,685,641,792,334,275,240,482,801,275,553,392,953,598,637,110,325,403,
134,069,532,004,708,722,966,989,162,365,003,020,319,993,627,176,759,937,809,
258,265,793,725,786,403,505,289,783,908,681,704,509,732,398,280,554,316,119,
996,967,664,255,550,337,702,338,265,449,668,850,916,027,285,994,185,988,574,
114,795,390,333,735,677,242,503,736,074,261,722,496,560,130,032,480,788,208,
681,094,464,164,803,317,037,481,241,239,900,425,584,863,778,987,577,798,456,
943,861,083,444,612,553,344,575,977,620,151,162,652,440,259,661,655,131,205,
546,470,600,460,116,294,049,438,047,711,303,747,310,933,333,584,256,033,279,
690,751,999,220,028,928,872,792,901,412,097,076,841,204,019,390,093,627,913,
927,162,533,145,736,590,928,475,081,579,282,569,296,303,703,397,579,743,124,
039,454,419,749,577,035,637,185,323,570,948,976,716,634,714,198,930,485,957,
371,733,861,282,146,573,613,080,368,368,202,980,572,723,840,434,348,548,828,
190,237,082,113,987,021,985,151,489,395,222,827,632,583,788,510,964,596,619,
902,377,162,170,758,490,536,295,176,965,368,995,884,637,929,874,309,866,696,
763,726,279,625,338,773,976,699,372,204,578,304,999,916,053,895,905,363,614,
264,973,002,236,171,211,747,838,561,860,920,106,907,925,951,999,991,121,259,
561,103,980,202,250,859,683,155,770,425,581,703,235,424,325,946,121,095,579,
834,887,778,316,619,885,807,076,779,422,066,243,645,126,284,238,954,665,037,
040,763,506,266,368,661,598,601,703,665,842,220,265,768,106,620,518,245,314,
305,016,499,665,327,817,050,454,347,942,518,633,448,062,648,822,606,816,887,
486,523,252,826,601,618,055,884,135,904,776,339,910,294,335,714,149,211,423,
969,247,244,983,613,372,624,370,026,003,981,616,379,841,623,920,971,347,120,
036,259,968,959,616,279,374,534,327,765,806,031,542,978,013,417,455,386,663,
682,652,278,527,477,398,615,007,979,625,795,645,473,269,039,728,883,740,379,
140,506,629,893,136,428,016,134,343,938,178,390,137,749,137,106,403,295,183,
645,413,161,778,817,077,446,025,418,977,678,095,378,615,792,808,615,960,947,
197,747,716,720,880,714,906,402,817,784,046,693,164,992,930,347,271,349,026,
214,496,963,166,040,819,608,248,862,180,744,578,210,538,053,636,088,322,407,
634,994,158,542,614,682,298,220,151,937,875,712,392,032,606,652,011,611,073,
498,031,733,713,451,956,703,499,479,825,268,245,004,812,856,728,100,955,923,
653,886,150,852,742,406,231,406,148,322,746,164,691,946,735,525,366,046,828,
491,978,029,672,688,039,442,402,181,560,500,935,828,347,157,990,998,896,096,
873,658,480,756,951,938,423,800,642,910,559,790,028,208,426,163,330,920,186,
211,828,969,378,755,982,189,508,122,866,671,532,949,667,461,994,145,565,602,
299,509,197,580,366,840,331,326,625,541,414,538,518,782,959,786,025,842,626,
367,096,059,960,856,271,839,050,746,346,097,414,930,132,027,526,048,815,816,
245,371,913,540,693,386,699,951,697,813,729,875,140,130,110,578,401,456,490,
249,254,088,130,334,242,431,563,008,085,715,527,905,454,368,250,235,018,558,
059,423,112,513,131,940,035,094,081,194,385,803,562,425,187,576,628,413,919,
587,168,187,523,598,896,811,944,324,183,452,639,031,756,365,854,556,797,853,
611,246,131,922,256,824,998,601,677,953,286,666,367,965,814,414,015,595,438,
821,386,164,723,117,410,782,849,845,216,602,314,586,918,275,464,198,577,942,
282,678,571,566,209,934,838,485,299,708,618,778,162,847,944,888,849,464,670,
712,098,213,966,019,637,980,289,973,492,933,369,678,106,677,653,221,514,219,
549,436,798,917,147,664,130,822,669,544,497,678,788,471,775,211,946,631,770,
231,966,796,732,612,968,520,858,361,014,954,764,308,037,444,010,425,663,694,
679,646,264,436,803,519,028,116,878,584,092,495,571,524,323,398,498,883,337,
746,213,536,132,161,771,340,598,926,974,615,807,631,223,450,387,953,596,004,
083,896,684,885,988,838,941,930,835,648,401,203,909,488,230,524,854,757,650,
284,414,945,810,211,643,746,712,029,838,083,706,032,057,543,049,914,795,248,
930,275,799,797,317,218,592,350,293,221,792,337,267,196,314,127,196,668,574,
918,691,852,008,287,504,870,255,096,997,195,076,938,985,474,195,805,423,157,
737,776,003,498,034,026,202,286,948,171,772,582,988,034,789,698,178,491,006,
661,628,752,116,449,424,032,749,051,151,003,857,464,863,515,025,515,834,815,
747,862,509,671,865,720,748,001,646,514,495,697,976,975,434,147,449,743,586,
009,413,702,497,954,836,459,316,855,512,147,140,905,882,378,879,727,653,287,
745,067,120,333,912,239,844,183,555,563,105,317,222,311,564,486,581,798,785,
653,417,960,447,324,025,256,256,876,458,056,412,042,338,152,807,277,423,740,
039,383,761,728,912,334,017,746,889,093,326,550,039,933,727,980,410,826,899,
982,815,201,539,468,438,565,779,922,389,835,511,634,400,464,233,158,174,140,
366,736,829,262,091,042,248,226,265,979,725,541,215,529,673,486,385,429,779,
653,651,580,759,920,028,358,150,764,381,681,091,509,550,032,411,712,162,343,
572,490,172,778,876,368,936,878,391,470,655,406,237,067,735,354,631,226,859,
309,451,535,135,559,601,241,364,338,057,772,501,822,539,518,027,462,151,954,
842,559,314,442,186,578,537,925,516,815,017,410,343,860,744,417,245,444,460,
403,420,543,380,137,476,713,537,061,761,251,432,195,067,294,646,544,351,536,
114,580,243,178,499,905,254,266,482,065,421,945,061,787,819,368,715,332,286,
462,560,225,320,457,136,816,059,418,510,093,809,040,712,502,194,601,222,844,
563,396,508,659,571,897,865,192,424,335,209,033,755,319,860,929,403,132,340,
799,361,684,725,393,446,629,097,550,325,035,525,149,609,896,746,463,928,017,
831,939,789,075,733,487,176,752,832,501,394,074,008,652,097,585,035,707,532,
687,310,287,485,082,263,210,315,571,447,390,220,142,832,244,183,485,700,808,
436,524,390,462,321,167,306,328,656,366,668,277,865,371,368,166,905,337,893,
552,546,065,559,401,414,168,717,708,056,658,885,633,315,313,638,874,836,458,
852,115,414,176,103,210,265,870,655,065,818,673,628,724,153,658,726,494,490,
114,012,036,894,976,150,299,770,551,966,105,842,180,968,984,963,725,787,481,
522,075,679,405,745,028,884,542,881,187,504,100,647,982,084,081,575,348,958,
305,530,547,390,894,222,787,950,364,450,851,799,131,231,207,853,438,962,349,
901,089,857,324,550,604,201,387,526,211,711,221,530,633,188,758,267,468,433,
809,859,376,594,105,793,205,771,732,386,183,147,561,716,796,173,640,443,439,
337,630,681,422,635,288,541,294,212,081,134,160,467,727,484,088,865,812,277,
572,020,341,953,958,901,375,142,172,653,080,054,996,048,207,670,770,836,058,
197,842,837,347,425,351,330,286,522,838,183,017,062,692,298,301,795,855,200,
715,309,739,837,642,561,115,595,566,327,759,469,644,626,890,083,767,309,126,
193,076,177,083,905,602,441,633,303,789,076,255,088,203,375,038,865,505,143,
639,451,132,265,699,708,384,985,675,869,268,142,719,282,833,136,102,051,880,
415,191,716,618,116,748,619,370,106,856,379,256,151,440,614,899,566,134,038,
182,018,184,167,477,101,500,535,340,590,005,463,711,926,568,024,828,221,870,
978,997,582,524,918,397,872,906,921,097,194,815,781,448,774,958,142,915,809,
077,694,060,632,433,709,615,774,197,553,804,802,691,783,343,793,433,619,106,
786,135,666,141,907,127,698,241,229,256,640,696,329,504,611,057,389,952,710,
830,350,322,690,691,519,223,641,364,257,848,971,283,171,009,718,755,055,948,
346,350,157,903,943,872,575,101,653,095,298,172,063,415,274,214,353,291,505,
287,947,775,657,148,135,888,224,200,917,007,526,903,058,176,676,263,962,254,
221,229,602,101,410,382,898,621,507,563,235,364,185,043,450,768,348,042,591,
558,665,589,141,251,252,853,791,140,215,464,396,947,505,279,902,327,876,306,
258,814,282,170,284,563,384,449,008,145,719,358,718,974,349,510,083,356,414,
359,510,790,661,746,246,931,723,287,227,747,429,908,229,100,596,876,486,983,
920,304,505,325,296,763,175,667,390,291,237,084,103,630,115,192,513,991,124,
947,478,177,937,358,774,457,509,288,777,875,818,551,470,608,561,650,051,118,
587,117,698,636,498,847,984,120,182,661,143,940,421,041,411,567,794,866,690,
640,611,185,195,526,695,817,916,338,820,877,129,657,878,822,832,724,531,746,
210,971,307,001,816,079,930,372,206,729,932,302,034,211,119,346,269,336,938,
209,289,074,431,682,874,721,162,649,736,492,537,634,659,394,779,613,998,399,
399,751,249,332,652,565,993,619,489,637,565,549,068,184,191,953,943,900,151,
974,059,462,100,924,864,991,478,418,740,604,382,751,199,821,503,667,663,421,
239,640,764,184,835,217,741,298,258,821,490,576,133,927,420,428,077,233,238,
464,125,715,950,960,094,577,139,539,871,649,239,910,426,523,077,017,892,653,
064,324,637,304,292,923,364,729,480,076,017,922,599,573,962,959,100,669,451,
772,226,175,883,891,368,648,810,378,805,480,665,323,308,785,823,555,640,897,
660,075,357,847,722,248,497,505,020,393,550,776,521,836,543,827,615,400,244,
825,805,956,006,181,088,272,248,914,077,582,351,271,815,282,272,911,659,051,
924,401,458,015,667,114,447,555,500,612,358,706,997,033,093,799,047,768,938,
479,061,784,872,637,434,549,945,371,345,887,700,892,451,655,807,338,180,100,
700,527,156,806,187,789,434,964,108,806,219,693,347,453,020,973,364,894,611,
196,077,308,836,388,931,376,844,586,625,685,557,455,822,489,289,194,033,381,
766,692,333,682,080,547,012,718,976,305,857,097,015,433,445,751,781,728,061,
864,405,036,178,469,144,226,934,353,872,832,906,686,035,936,226,639,283,434,
825,204,604,441,931,495,798,681,682,107,642,536,213,046,753,873,329,554,906,
597,071,713,767,088,729,901,869,324,417,767,710,890,293,845,923,477,512,582,
694,135,080,948,162,682,065,703,818,999,024,015,406,616,919,860,957,436,039,
645,545,625,156,804,476,896,564,709,127,469,682,554,706,934,677,500,649,334,
877,301,510,796,967,398,817,521,472,086,548,814,045,486,104,459,616,405,847,
259,822,970,501,488,034,447,999,222,725,159,474,388,496,431,625,423,094,045,
699,424,990,999,049,727,392,386,652,208,095,883,323,283,995,491,364,144,323,
613,242,606,595,996,778,603,519,973,138,911,137,335,316,601,234,879,706,955,
891,453,975,990,585,256,360,616,041,614,483,492,941,814,645,600,190,564,418,
994,425,104,397,335,868,117,417,637,072,904,158,644,312,134,554,310,233,973,
015,372,465,067,095,991,542,622,744,385,650,240,484,194,583,678,512,214,508,
542,688,736,104,870,588,263,803,309,234,441,819,659,408,883,786,038,216,434,
250,806,732,794,780,233,789,502,652,033,370,238,786,479,786,888,712,478,636,
987,029,361,982,125,048,888,589,426,789,525,176,067,857,318,146,781,121,851,
234,804,900,922,398,430,685,409,392,839,642,734,385,352,462,304,917,756,682,
137,981,883,291,456,623,233,401,053,114,578,452,837,168,445,074,582,893,457,
683,753,391,467,996,379,318,647,620,943,414,054,880,252,335,500,537,636,636,
255,260,491,187,232,109,341,174,174,305,105,127,489,970,445,029,927,237,743,
029,118,012,583,979,855,943,505,623,149,419,704,069,245,923,128,639,534,070,
344,621,870,985,296,902,975,764,614,043,197,510,588,782,058,919,808,561,899,
483,429,018,835,320,736,640,358,916,775,152,537,831,210,247,224,886,476,998,
462,216,116,255,536,035,552,034,039,082,815,738,962,433,074,200,627,848,307,
669,379,898,020,278,041,973,605,298,871,432,897,064,266,095,877,425,434,404,
678,883,443,562,940,063,792,814,665,291,127,947,683,687,764,927,687,874,707,
584,463,953,771,421,988,936,085,214,066,566,513,155,523,589,424,221,418,146,
362,204,128,231,168,888,292,240,451,510,649,850,950,005,101,205,709,113,064,
549,138,779,107,258,883,994,024,657,033,118,823,017,571,995,644,019,885,618,
746,335,850,229,159,226,392,629,741,258,298,950,748,513,454,169,242,129,981,
401,188,599,978,853,743,057,606,957,755,191,214,221,631,294,745,081,681,569,
628,727,860,184,595,445,287,423,017,640,379,917,851,202,970,786,237,228,147,
360,018,897,201,149,640,296,692,520,293,749,334,752,042,668,662,340,198,719,
366,503,312,128,713,997,338,588,692,079,654,545,233,328,019,563,506,651,405,
245,909,333,677,075,793,584,174,462,937,377,056,661,120,960,618,743,187,167,
273,633,762,705,022,806,009,031,769,849,342,122,351,932,404,681,990,530,959,
050,520,424,377,194,699,679,686,636,965,794,648,571,729,715,824,632,496,016,
092,371,143,746,073,709,374,531,755,564,501,075,443,469,722,190,030,591,080,
312,851,701,780,595,253,329,678,226,261,202,149,392,149,416,000,616,017,910,
843,272,089,491,595,461,145,911,616,215,826,777,497,284,566,532,057,540,150,
334,308,316,802,841,389,289,566,253,697,030,266,138,171,532,341,595,208,607,
390,335,062,588,162,408,316,753,833,194,413,485,635,886,173,102,295,740,308,
178,079,712,447,052,168,446,852,798,089,115,526,974,940,619,627,825,471,369,
716,500,279,002,967,107,263,260,414,793,189,258,644,609,302,125,316,947,355,
898,727,471,947,024,076,997,059,615,802,517,536,647,467,411,981,067,751,467,
494,770,324,490,073,537,709,049,768,425,556,719,211,436,266,692,287,694,347,
902,003,046,812,948,766,841,576,154,021,749,838,522,769,620,400,504,716,260,
454,989,424,669,759,104,559,561,127,644,873,257,076,002,066,498,835,524,286,
507,257,285,090,652,350,837,441,789,412,867,641,581,453,660,939,247,414,517,
339,700,662,621,695,727,093,935,047,074,707,459,259,067,610,451,957,999,794,
416,237,442,647,876,838,480,576,837,761,675,394,186,556,917,719,567,980,776,
855,727,433,765,452,456,233,618,054,836,455,264,333,278,986,991,936,112,809,
635,367,441,336,158,177,480,158,449,976,410,525,142,704,994,937,162,365,164,
045,827,813,024,431,648,368,247,303,475,093,352,750,313,548,806,564,124,279,
495,812,151,253,430,215,460,374,812,422,825,288,931,192,199,142,492,397,266,
193,506,736,871,865,920,904,234,640,776,920,761,469,393,538,515,018,218,680,
705,188,210,917,612,794,018,888,362,043,510,735,504,883,780,423,855,914,043,
956,868,967,295,633,487,415,947,877,307,603,742,830,806,374,338,064,259,914,
092,377,566,971,476,436,409,086,041,456,541,421,562,550,968,225,457,677,455,
138,355,665,894,415,843,351,036,108,526,834,457,559,042,903,518,668,214,129,
629,946,418,258,181,911,903,878,969,331,268,629,582,723,148,717,098,573,101,
261,085,756,558,011,542,827,652,844,209,578,251,378,649,585,724,108,547,411,
663,784,738,096,386,253,000,065,826,279,926,280,333,015,400,293,201,904,394,
852,599,322,423,161,906,613,893,288,685,306,878,729,216,162,794,402,630,102,
916,194,263,953,240,500,675,821,098,099,734,225,006,460,537,682,673,509,686,
291,063,247,526,141,324,964,043,057,378,378,577,343,978,867,360,836,231,183,
821,395,672,866,805,039,809,168,189,545,421,140,645,779,560,637,030,663,625,
114,804,677,464,995,561,661,931,068,609,887,308,205,359,575,714,099,244,873,
362,583,431,879,648,388,014,558,097,407,373,967,839,604,313,358,139,438,272,
317,027,604,055,169,473,717,292,344,561,883,874,924,769,896,043,049,177,877,
517,603,177,247,469,522,726,896,270,781,874,184,913,037,609,339,180,906,471,
169,311,098,753,338,384,438,758,406,173,988,905,014,749,218,343,718,527,833,
353,251,962,174,435,175,394,853,282,335,485,845,565,352,353,035,654,323,018,
737,795,387,232,589,035,538,349,860,436,298,026,341,785,844,749,173,243,987,
206,295,214,798,097,550,592,110,870,086,242,944,329,303,763,629,892,400,214,
892,237,410,141,215,417,870,757,062,216,982,978,517,896,154,240,356,119,114,
692,162,167,740,390,950,927,037,491,996,416,492,527,179,079,303,408,021,228,
987,008,844,427,325,876,040,358,885,916,372,827,106,311,127,374,367,414,432,
983,010,362,657,190,441,727,201,614,285,292,318,836,726,701,914,476,348,377,
228,069,967,697,904,426,655,025,948,026,347,280,246,009,822,902,568,550,890,
433,945,575,924,893,961,877,399,160,980,875,757,802,065,587,885,894,664,730,
046,073,354,806,270,416,613,307,008,141,702,543,643,058,562,500,882,332,170,
884,733,082,068,769,993,592,413,789,741,476,260,100,260,516,243,272,040,782,
944,135,065,203,786,608,351,369,109,729,439,697,878,394,587,271,686,101,960,
686,567,413,494,489,055,523,139,728,947,056,856,240,785,143,835,485,227,991,
695,201,953,099,747,792,514,256,779,350,709,604,299,944,747,465,240,551,355,
297,542,866,873,952,742,720,644,630,309,192,238,517,493,560,254,466,241,254,
445,979,532,961,955,596,156,397,615,527,864,665,735,872,042,924,131,767,467,
634,754,447,256,120,235,974,838,274,269,239,737,560,531,254,945,557,411,809,
677,406,312,008,373,297,199,276,364,853,304,255,332,984,125,553,452,600,694,
468,670,872,155,253,198,021,214,784,184,186,475,071,266,363,119,467,617,431,
916,709,376,985,533,150,585,322,066,489,952,796,469,782,495,625,514,827,873,
062,084,175,517,532,900,153,510,361,773,450,972,219,466,227,407,463,164,906,
780,933,516,411,821,174,408,773,719,569,477,571,363,865,182,125,941,975,372,
144,729,263,416,681,842,336,906,487,837,740,026,181,893,829,341,614,832,044,
358,652,075,785,220,954,931,881,171,346,253,585,244,968,286,430,867,672,653,
050,340,712,607,877,890,234,184,930,463,500,418,571,094,825,151,746,813,455,
674,124,272,839,313,558,799,416,435,435,193,041,419,621,300,426,444,306,821,
832,121,939,463,825,775,743,710,017,290,462,590,538,956,315,273,785,310,877,
791,999,303,202,791,963,857,663,441,927,119,819,478,850,367,232,113,819,816,
814,678,050,447,285,046,826,508,355,008,817,146,500,331,928,985,969,874,391,
286,885,074,816,117,592,114,923,634,436,218,168,599,498,113,765,429,692,682,
844,724,319,834,783,048,437,749,028,077,405,256,281,005,908,684,580,463,620,
447,796,334,075,997,967,492,370,578,695,229,487,206,478,570,115,318,664,522,
613,272,817,385,811,056,765,262,398,374,196,958,929,766,773,536,698,903,857,
627,096,982,042,318,618,622,722,713,410,839,571,941,027,126,502,413,410,726,
277,485,946,770,959,653,673,156,295,826,689,980,094,949,125,619,953,800,659,
220,547,502,863,904,684,828,871,026,132,334,351,618,222,654,816,627,029,069,
737,848,660,842,919,818,313,682,317,412,178,648,583,500,417,893,324,214,289,
850,852,624,636,533,325,547,735,647,862,150,602,702,355,808,296,269,518,277,
180,800,658,206,257,156,220,589,504,369,814,194,790,470,389,530,558,540,905,
780,420,285,419,891,420,524,347,023,676,205,947,516,529,216,720,473,701,306,
504,893,938,781,973,289,580,810,853,612,513,580,162,853,260,114,790,554,049,
903,854,184,523,586,498,023,287,159,188,568,014,218,304,401,639,881,883,947,
089,055,467,318,934,602,769,890,230,530,155,974,852,657,434,987,004,638,746,
817,937,442,553,172,093,546,604,832,172,538,610,387,731,525,297,477,601,955,
116,821,804,543,174,266,256,635,574,450,318,268,307,031,671,864,355,259,196,
906,397,371,707,636,252,530,407,934,567,066,147,198,212,846,757,237,481,929,
832,371,665,344,990,053,849,073,846,274,790,440,707,363,903,407,039,959,430,
789,619,288,260,019,915,318,348,967,534,702,211,097,590,337,325,815,851,244,
598,709,255,586,747,612,731,416,916,883,044,349,586,140,337,242,746,325,197,
575,565,059,527,090,905,956,540,604,162,235,196,605,919,123,464,918,232,944,
550,618,211,076,283,076,156,537,961,898,882,465,818,288,910,456,700,483,856,
989,977,883,110,849,981,239,897,739,324,251,411,943,888,486,259,141,504,813,
050,192,788,018,547,661,801,900,340,044,772,709,570,249,739,236,646,995,976,
615,995,682,889,935,521,303,612,191,413,408,703,344,770,650,273,069,665,384,
601,986,759,648,117,270,265,187,933,034,096,140,572,389,671,244,319,519,559,
917,517,852,745,602,850,726,730,162,230,972,925,121,098,783,987,678,193,355,
046,571,165,205,896,913,409,187,508,939,990,757,028,691,464,186,364,352,979,
221,607,829,448,523,617,396,968,978,543,410,965,579,868,634,841,222,839,866,
694,704,194,579,242,843,230,334,635,747,280,070,797,601,268,268,117,266,316,
341,616,138,373,871,299,352,059,616,556,927,288,607,954,226,623,851,541,587,
832,357,945,136,064,085,804,135,823,366,601,824,191,389,635,943,210,417,529,
107,821,224,585,550,180,846,660,634,563,054,584,557,531,690,826,638,563,396,
651,978,096,107,710,133,443,692,435,386,295,679,698,438,938,090,504,161,900,
191,568,443,095,016,703,085,297,854,815,267,835,601,464,828,604,018,762,900,
907,341,011,426,219,005,412,209,016,038,152,322,156,542,596,319,148,080,512,
656,728,994,706,895,725,684,042,933,740,010,731,092,385,725,223,151,318,073,
257,680,597,390,666,796,499,685,209,233,070,463,817,744,812,754,564,013,641,
477,350,414,270,135,474,903,229,396,782,601,928,148,072,990,975,341,257,881,
651,809,341,683,944,929,776,224,166,862,583,588,707,778,072,225,424,781,536,
357,176,060,140,852,258,166,564,379,578,864,303,938,856,407,957,002,012,084,
295,399,281,641,428,049,447,143,312,450,891,183,028,148,294,878,419,942,126,
992,303,815,394,890,990,794,554,798,635,256,295,561,863,015,176,900,655,425,
731,206,411,709,553,758,151,640,719,780,234,445,266,751,349,370,272,469,634,
163,524,008,265,892,254,009,075,683,977,775,585,551,853,266,463,770,331,975,
109,223,153,897,202,355,424,013,518,470,581,703,335,163,688,413,608,395,988,
749,030,472,941,072,440,055,663,680,191,642,398,281,583,007,823,401,662,531,
237,324,468,570,079,824,636,156,300,177,833,929,317,822,870,634,341,079,645,
242,920,406,643,297,587,157,879,882,902,450,933,582,331,354,271,402,456,050,
525,547,088,780,350,771,167,990,095,546,616,531,066,056,640,854,764,450,344,
008,734,622,684,086,711,773,067,129,428,785,333,303,942,709,591,198,599,457,
958,084,338,271,940,578,745,359,379,368,135,633,646,184,156,838,775,277,756,
147,109,153,726,956,576,025,610,816,389,314,628,804,474,856,080,465,685,633,
293,192,090,816,238,448,420,483,317,643,878,076,913,623,342,868,856,811,458,
368,581,367,962,931,958,836,217,128,872,335,791,453,120,651,682,969,077,438,
256,925,536,212,550,335,519,788,742,707,153,194,551,047,978,440,463,542,833,
592,295,233,633,765,707,233,066,212,173,799,712,004,112,782,523,238,933,639,
575,600,784,924,067,346,635,145,898,059,286,128,189,280,313,336,143,541,516,
083,029,234,495,828,731,825,489,023,970,975,452,212,878,221,728,279,321,083,
436,976,700,471,237,537,550,407,464,723,485,984,862,263,343,254,155,816,816,
662,904,174,611,193,888,479,977,005,257,216,136,660,510,766,517,069,020,512,
906,291,712,642,491,581,617,807,343,988,510,927,911,258,318,231,158,547,561,
951,731,562,978,201,850,631,307,206,570,129,194,907,207,879,652,361,118,971,
331,285,969,303,491,254,859,835,872,556,149,636,326,349,666,575,851,593,828,
705,023,964,446,116,902,401,414,539,309,348,475,280,354,295,212,562,798,168,
646,858,330,745,026,500,286,000,784,094,025,821,761,868,081,605,542,093,155,
852,540,892,307,535,178,213,649,534,701,272,322,562,681,658,028,387,412,232,
947,075,350,101,221,618,786,861,052,503,177,595,025,386,879,684,665,654,119,
628,448,062,893,156,619,598,412,967,327,289,743,248,844,064,692,861,933,360,
414,752,091,284,540,018,372,222,256,718,329,546,078,582,712,805,095,948,143,
895,280,504,047,039,860,994,738,476,977,892,303,135,524,136,131,972,227,091,
793,206,161,363,501,019,908,037,770,250,547,503,527,244,427,473,836,300,681,
197,603,372,622,657,822,709,954,814,027,302,245,272,305,660,971,472,415,310,
760,573,327,280,498,478,767,269,599,346,846,305,750,341,919,119,608,744,828,
365,171,417,311,033,917,637,898,546,833,922,014,606,449,080,628,329,249,063,
497,152,313,180,375,555,003,788,663,667,906,899,096,814,291,260,493,213,270,
393,567,067,185,973,423,358,431,915,030,690,353,096,431,891,340,187,966,490,
014,585,452,945,815,933,483,326,668,172,144,444,262,541,454,946,702,671,565,
155,292,981,453,370,213,122,857,899,746,164,653,996,818,929,216,756,329,863,
741,953,849,834,433,173,231,970,023,261,057,192,544,396,703,699,912,896,315,
061,637,913,079,658,357,573,784,182,292,999,583,178,156,756,940,656,056,979,
243,429,418,860,199,502,069,761,499,070,672,879,790,885,221,224,455,137,000,
025,819,445,573,756,961,594,296,632,431,942,844,632,525,635,152,172,666,067,
693,537,113,664,062,234,404,957,802,694,265,211,467,391,238,107,553,390,165,
229,827,216,890,663,792,162,621,220,877,787,673,487,747,759,893,291,090,043,
704,931,823,984,745,006,992,025,297,970,021,255,045,896,273,048,500,104,209,
467,320,347,432,977,524,064,103,209,774,720,539,215,321,382,164,466,762,106,
299,977,209,990,578,263,328,935,257,386,043,262,185,060,916,052,056,647,514,
472,797,169,318,269,599,491,632,984,542,267,361,596,204,093,122,241,781,345,
460,473,272,922,929,008,049,051,940,774,605,418,748,146,111,241,192,885,667,
834,099,483,827,920,057,523,467,021,568,880,883,924,804,093,167,126,644,419,
102,695,398,974,340,957,244,384,062,710,010,632,006,825,957,633,813,423,357,
975,689,483,741,889,768,832,942,172,761,482,177,681,145,121,346,753,632,598,
010,332,494,797,623,608,918,998,156,437,790,522,121,087,931,319,279,723,141,
065,199,192,914,968,242,179,658,917,686,804,027,518,960,649,358,463,492,672,
530,359,607,132,928,359,504,996,499,331,460,576,547,739,017,274,124,009,654,
740,130,677,730,565,796,353,227,210,595,229,024,053,498,326,724,185,820,055,
293,500,012,169,166,633,361,556,742,662,649,221,530,494,725,389,885,662,451,
989,180,500,283,187,979,460,292,580,334,917,119,847,141,847,175,722,874,664,
301,204,001,126,104,723,014,758,223,012,834,718,471,194,288,014,481,372,949,
551,359,302,331,507,011,768,039,488,123,866,485,743,811,541,477,496,368,157,
576,862,954,045,490,028,859,728,846,807,144,919,396,338,750,449,623,243,641,
863,170,119,493,279,826,715,143,107,427,272,988,106,645,422,804,995,316,607,
869,937,885,245,600,007,338,220,403,923,647,623,992,276,881,153,436,552,675,
808,104,878,563,418,758,305,069,447,374,287,438,439,679,652,698,849,891,467,
940,600,348,355,946,773,341,264,803,989,387,208,868,166,922,642,629,824,611,
699,658,578,322,158,669,279,590,089,529,897,997,235,815,359,555,143,655,196,
808,148,219,801,120,021,527,454,091,832,041,991,109,346,094,967,990,527,947,
883,527,062,729,442,332,186,488,644,198,029,734,596,231,701,430,407,798,865,
556,760,850,633,500,570,966,881,478,597,958,976,220,753,956,882,413,429,296,
963,008,307,416,552,089,615,366,766,296,657,895,951,396,169,047,021,600,098,
199,104,086,885,063,380,211,261,723,812,854,996,138,074,472,061,028,480,482,
659,782,052,210,621,050,484,039,621,102,001,235,224,577,726,605,802,607,537,
034,195,916,274,538,774,149,567,290,244,174,103,878,489,957,194,899,351,315,
411,193,635,718,659,042,839,699,119,597,733,768,388,630,432,993,226,508,152,
018,163,180,886,511,052,699,002,960,221,748,037,139,774,665,966,267,186,927,
416,649,138,115,972,940,417,799,243,196,541,246,323,729,825,102,297,000,800,
437,699,063,100,496,800,011,033,253,583,556,414,505,002,157,899,847,102,757,
187,894,628,533,442,019,239,811,176,140,339,947,621,115,928,753,881,434,126,
996,782,398,330,588,147,661,556,522,542,635,511,069,929,870,313,011,238,747,
391,066,420,480,988,547,918,490,076,702,689,389,281,396,692,436,197,534,465,
170,186,300,220,156,547,515,271,270,050,335,210,828,069,355,840,864,617,167,
177,991,956,396,790,323,877,661,720,886,390,149,909,551,711,284,129,192,970,
779,214,576,417,830,777,852,975,679,262,806,986,950,094,572,269,875,868,888,
828,770,949,854,703,264,619,442,599,357,430,451,397,126,903,659,868,338,957,
618,959,727,284,134,565,900,499,675,771,717,156,739,919,065,192,211,654,655,
303,485,346,203,873,984,829,366,831,138,925,918,517,941,178,544,656,426,417,
157,699,898,731,397,911,177,108,257,148,819,359,314,909,695,795,788,012,863,
243,092,432,787,563,807,641,611,673,774,448,264,744,004,632,349,623,017,118,
726,326,008,927,526,422,283,764,994,225,820,064,340,131,983,639,285,183,884,
448,967,831,219,177,223,198,282,579,714,775,094,677,694,976,117,772,937,087,
234,075,096,984,783,848,592,448,655,053,067,003,230,069,861,638,762,635,922,
677,392,608,887,829,122,290,494,564,227,147,231,672,484,025,485,598,794,626,
950,003,503,946,580,012,756,160,907,305,309,994,650,251,593,396,998,875,239,
145,331,599,421,072,112,116,731,788,260,186,362,290,756,076,110,105,917,808,
752,819,188,128,434,858,174,693,030,708,252,540,493,568,990,550,843,374,341,
577,272,214,928,239,539,779,960,430,112,908,070,003,696,376,429,974,021,838,
903,455,794,220,085,076,870,862,578,931,166,091,095,210,683,357,865,847,574,
841,019,454,175,484,416,147,609,154,968,555,460,237,952,066,764,643,892,387,
823,681,643,003,455,934,484,029,587,445,906,892,260,998,085,463,943,867,950,
583,094,992,079,690,551,797,144,907,187,308,066,279,755,100,108,493,288,127,
943,504,953,793,504,306,015,189,552,315,601,192,711,359,415,877,759,797,496,
430,953,126,482,118,361,013,938,066,392,905,716,590,977,714,325,511,189,167,
158,767,747,049,745,432,187,940,455,697,996,080,689,976,118,615,821,952,729,
303,780,189,456,939,129,074,418,972,634,347,633,007,921,847,329,418,149,141,
198,288,491,478,701,763,897,328,008,076,107,792,500,411,862,136,004,378,154,
161,271,161,514,242,810,401,634,129,604,385,618,734,345,317,063,483,646,483,
142,339,059,926,234,723,170,359,515,934,863,726,084,777,739,493,393,603,787,
128,295,395,348,044,555,534,484,644,265,435,711,351,830,525,841,485,894,011,
677,423,009,411,679,706,302,359,266,917,091,470,696,285,998,498,916,207,027,
149,211,847,840,983,769,974,785,249,755,896,139,143,302,277,574,736,568,741,
656,475,899,073,154,916,333,978,847,210,713,264,709,919,685,315,005,839,147,
412,797,951,522,094,399,618,310,563,430,595,867,790,544,030,304,665,096,507,
399,034,149,424,650,813,467,230,975,151,765,088,417,482,494,803,800,532,522,
361,803,528,308,420,808,884,954,057,847,777,471,610,252,091,205,961,169,906,
986,392,676,715,967,728,329,115,861,456,996,129,830,895,179,574,029,424,575,
780,456,399,787,469,982,364,541,271,957,535,050,273,743,471,103,603,313,852,
184,484,522,534,162,057,839,820,706,565,569,054,712,918,114,871,179,702,649,
091,162,251,632,421,779,806,764,526,341,052,054,039,929,608,004,025,698,127,
261,824,371,788,631,389,603,028,429,747,291,299,534,383,460,446,597,985,297,
604,271,751,156,346,010,826,124,507,164,738,493,665,529,467,440,339,094,817,
952,409,944,504,415,823,303,638,150,145,646,079,680,065,298,001,272,251,918,
903,275,701,778,475,939,617,059,111,407,632,273,152,376,316,105,082,754,973,
984,435,841,070,075,595,825,214,404,684,909,328,765,749,415,651,151,527,408,
004,477,838,603,460,700,430,598,265,176,319,098,351,128,124,751,378,581,096,
276,190,779,564,873,870,662,987,433,277,375,805,001,374,284,371,476,241,931,
905,390,477,029,898,607,045,201,431,622,722,497,828,320,303,785,559,532,608,
223,795,029,328,905,149,408,950,968,486,594,658,573,352,267,633,667,109,295,
804,162,640,828,902,841,320,443,358,346,030,085,076,434,369,904,012,302,360,
098,598,605,142,468,477,199,471,111,813,877,449,759,198,495,613,762,722,279,
169,511,386,168,711,207,444,585,285,129,323,182,007,523,553,026,581,617,860,
580,304,717,284,550,203,098,377,131,492,721,696,738,558,184,336,339,376,571,
229,503,665,945,934,406,590,952,947,743,622,122,319,077,318,805,522,058,940,
297,375,043,718,485,396,265,239,869,989,114,034,876,923,037,534,764,571,308,
087,543,737,498,489,185,810,952,501,268,455,831,924,998,523,182,354,851,430,
025,912,582,560,303,061,559,595,743,700,307,433,346,770,675,741,439,741,084,
351,234,172,287,980,734,361,471,764,466,868,227,787,419,451,141,008,666,456,
595,850,885,169,139,292,455,983,100,089,946,261,618,074,693,073,902,828,363,
898,870,500,828,466,016,567,999,441,585,534,925,967,432,239,354,790,047,230,
879,928,492,473,153,582,963,161,957,485,329,490,896,849,383,320,014,552,420,
519,077,347,604,461,169,630,028,247,539,890,592,047,172,286,073,649,292,274,
423,167,951,252,390,932,015,132,214,271,848,127,699,105,866,112,695,340,888,
101,332,266,834,109,348,664,738,666,043,880,696,178,854,306,390,350,197,577,
244,850,377,872,419,851,776,156,760,049,712,781,140,278,916,644,744,989,293,
376,465,110,767,184,414,285,494,434,345,502,766,316,698,270,304,391,721,361,
098,405,767,174,601,124,457,110,132,845,094,668,518,413,371,668,656,167,294,
288,779,989,606,742,326,561,056,924,012,848,874,750,537,940,210,485,022,540,
064,351,829,158,149,917,188,817,605,847,894,985,023,179,713,046,140,881,290,
896,735,131,140,413,737,900,260,431,176,717,311,663,874,735,691,154,544,036,
855,430,100,629,964,423,858,734,029,007,645,573,253,820,629,246,054,254,131,
013,244,130,779,084,134,929,897,587,423,165,413,628,063,854,806,283,445,382,
582,727,923,720,930,852,092,450,659,594,609,188,394,725,291,612,247,012,564,
801,567,190,468,292,358,952,263,705,681,195,093,987,047,856,935,852,990,490,
958,854,091,567,419,960,396,766,952,471,552,876,206,866,943,436,575,605,998,
187,883,783,821,979,091,190,451,305,196,226,848,839,484,323,710,580,329,228,
059,433,041,052,735,237,228,937,262,901,757,656,416,947,782,240,013,864,858,
146,703,480,410,836,463,594,274,554,187,181,741,509,932,288,131,505,993,850,
231,740,799,712,021,826,654,693,826,761,197,740,292,805,633,759,543,215,793,
344,918,488,967,530,714,305,641,103,776,332,485,010,892,478,539,889,310,954,
615,139,048,776,446,789,873,993,505,227,545,261,067,663,868,700,439,613,429,
393,340,860,003,355,589,132,824,105,849,863,152,746,934,854,971,160,478,510,
938,509,359,821,638,009,695,694,061,592,853,064,716,777,269,484,838,452,733,
490,821,472,920,762,118,934,211,486,009,077,590,411,378,357,816,559,529,097,
488,358,683,897,385,913,926,627,510,047,019,786,341,706,391,440,949,697,789,
451,553,751,007,042,912,439,853,896,806,475,829,516,165,105,747,940,021,481,
234,411,131,400,107,564,464,751,972,553,978,665,154,590,277,042,110,284,147,
678,396,616,429,890,591,715,582,077,219,680,208,221,627,843,954,486,194,145,
524,333,786,872,005,308,287,794,086,816,519,741,521,453,105,973,414,954,109,
170,176,549,461,265,937,235,271,593,575,408,139,227,729,000,267,001,115,941,
159,478,836,452,251,812,096,301,741,188,026,608,271,745,336,603,237,112,836,
502,994,957,895,780,655,778,817,926,146,202,730,948,937,343,793,447,819,829,
890,808,105,821,802,242,462,732,531,042,008,586,136,348,619,379,710,933,012,
582,432,537,453,765,819,454,161,052,554,579,228,981,105,323,206,576,160,390,
144,218,923,211,242,392,870,679,610,832,218,988,057,060,100,905,951,756,040,
431,944,595,185,778,819,638,436,951,469,344,169,321,943,695,006,596,553,613,
247,566,292,227,710,522,018,393,898,729,663,405,339,663,643,366,412,136,167,
763,615,354,026,406,669,452,827,575,547,206,600,557,430,117,724,925,948,739,
903,271,461,457,712,046,538,467,273,557,218,647,001,614,643,826,884,370,362,
363,865,945,126,117,857,708,968,706,791,655,181,480,762,880,940,080,968,066,
882,484,508,125,470,708,727,234,128,655,630,850,598,034,957,072,458,205,025,
463,508,053,145,931,522,096,997,625,454,638,439,523,084,038,618,986,193,972,
696,419,527,000,129,128,153,984,311,226,255,831,882,352,788,158,623,368,573,
792,250,736,984,683,279,721,195,015,868,358,907,391,722,366,269,369,968,510,
933,417,168,358,400,750,717,675,931,842,269,166,415,500,885,547,310,395,979,
709,575,018,825,625,302,046,170,331,868,744,337,978,870,906,344,851,584,827,
378,610,178,647,972,089,768,792,007,774,601,570,644,023,725,594,852,600,282,
615,689,354,306,782,951,743,567,951,894,173,505,017,634,555,081,572,181,443,
048,029,184,410,342,192,539,060,094,466,354,057,603,803,600,024,163,138,613,
720,069,315,219,415,716,635,986,755,103,196,572,004,502,811,330,965,510,137,
236,071,048,345,720,505,424,200,922,845,937,759,475,537,879,642,736,848,378,
819,138,451,769,740,679,106,395,615,529,287,036,073,705,101,017,944,722,822,
801,796,613,706,623,060,893,631,769,683,658,407,030,664,618,766,500,046,737,
780,653,414,129,324,954,044,751,719,699,289,991,570,174,540,419,375,761,413,
387,404,066,641,987,184,242,329,671,974,320,779,555,504,757,354,735,584,497,
521,879,564,245,322,375,412,655,391,302,954,992,976,279,427,217,897,062,589,
865,433,893,356,215,362,827,414,445,129,583,250,668,566,536,153,162,486,339,
461,860,495,088,364,922,284,486,510,782,415,162,803,500,357,941,331,048,262,
029,392,902,416,620,673,038,760,336,876,592,264,138,068,600,421,368,792,879,
421,306,560,198,011,158,938,318,412,432,174,262,750,803,752,103,895,914,209,
026,336,349,989,084,466,015,744,464,721,498,191,530,760,805,924,708,279,249,
593,090,745,159,522,418,614,437,301,156,500,350,914,431,921,228,416,435,692,
038,181,330,145,679,544,536,070,695,536,932,539,485,698,906,757,579,999,749,
554,105,669,486,189,084,619,749,246,871,474,337,800,952,405,952,659,110,706,
299,955,609,527,910,968,352,002,810,103,357,277,158,877,394,003,818,114,474,
161,236,180,978,279,027,485,836,253,048,994,658,819,766,204,542,740,599,599,
846,931,576,775,054,443,109,377,809,632,471,905,578,572,639,196,455,196,334,
551,583,261,862,194,185,669,842,079,508,418,413,594,238,104,614,675,861,443,
301,211,242,885,871,928,466,521,836,322,817,640,407,976,110,325,759,285,728,
375,294,075,950,622,047,645,338,865,666,155,042,467,938,038,904,421,837,136,
733,730,762,213,698,586,561,727,258,911,547,061,874,600,159,600,341,974,387,
059,079,486,904,831,823,414,723,031,598,268,698,334,443,576,480,456,126,170,
686,972,500,437,152,195,942,396,773,958,004,895,457,496,701,190,279,446,447,
829,029,617,973,594,622,524,461,820,511,399,752,372,148,473,786,351,490,310,
677,368,870,887,674,461,538,308,352,688,987,813,469,522,049,967,758,395,117,
378,387,903,821,017,712,740,075,479,195,248,298,375,133,665,840,555,487,980,
254,789,949,358,764,782,517,039,350,599,279,029,751,925,050,977,543,031,453,
969,059,747,978,112,140,378,601,468,761,634,519,460,474,441,859,270,256,747,
222,702,043,168,870,724,985,462,181,410,371,606,919,100,889,277,405,218,007,
002,244,979,258,156,591,734,912,414,651,772,172,657,338,725,600,922,173,618,
308,739,499,257,444,239,057,155,931,295,163,208,105,239,414,593,903,271,352,
213,910,784,332,679,131,433,108,583,832,509,750,669,620,764,913,267,749,063,
265,183,612,430,169,054,549,196,788,152,304,531,686,956,666,211,820,416,697,
468,729,158,317,620,668,540,257,488,262,804,276,268,737,300,015,715,144,920,
112,088,999,073,378,868,714,786,921,226,200,319,937,721,202,320,261,106,039,
714,075,441,246,278,494,357,021,022,912,141,192,371,831,549,328,990,244,888,
462,475,419,902,667,512,381,514,200,973,745,898,686,212,397,986,156,420,977,
555,441,413,329,137,298,843,133,403,637,500,708,270,646,709,994,110,277,863,
231,113,232,230,209,014,234,324,931,155,153,630,106,347,913,431,728,113,975,
223,483,594,049,861,397,715,516,850,451,147,565,761,785,892,820,561,544,223,
992,610,475,664,790,454,648,465,302,345,286,167,013,403,464,073,265,099,720,
449,010,439,362,393,942,690,281,464,310,774,331,198,395,970,259,735,528,450,
347,657,876,890,119,476,631,968,943,067,634,739,356,353,224,096,447,907,185,
405,760,286,278,594,758,421,736,709,813,189,239,738,292,921,638,304,307,246,
598,835,214,864,699,258,488,774,489,562,363,167,531,249,142,312,255,599,649,
882,328,767,427,632,832,377,476,852,694,806,888,104,007,893,314,856,105,177,
483,220,084,193,017,210,142,636,620,019,344,386,364,484,281,864,813,856,136,
287,693,346,845,450,556,136,608,202,937,826,652,037,499,587,072,295,920,286,
669,962,538,275,254,457,053,459,829,041,430,763,279,610,373,512,163,683,319,
508,971,290,188,357,640,037,756,292,974,740,060,160,616,865,635,301,748,291,
193,967,789,577,800,863,406,141,094,581,203,527,140,780,812,999,392,636,209,
905,369,384,731,202,817,244,889,032,072,099,079,608,828,069,932,052,760,392,
673,143,346,967,244,425,910,828,418,131,120,620,792,709,057,360,261,044,447,
371,102,564,373,609,703,149,393,745,007,810,857,868,058,857,801,686,446,113,
601,278,818,521,045,314,547,226,988,202,941,223,069,512,836,220,980,214,500,
180,750,441,812,381,354,597,829,507,755,352,615,714,400,947,941,152,979,357,
403,251,006,969,223,677,817,743,934,704,477,873,323,028,403,451,849,330,075,
444,603,471,994,292,546,774,037,667,981,407,532,522,255,531,569,215,513,283,
135,958,514,064,069,856,246,856,068,662,043,719,190,438,545,220,013,302,159,
955,595,503,331,416,995,653,771,181,320,676,434,151,400,158,386,318,676,974,
360,556,138,666,801,747,920,199,336,106,374,866,657,341,498,142,208,653,884,
842,213,713,193,545,112,788,859,186,758,215,916,918,941,937,329,466,060,492,
526,765,154,520,558,140,618,652,481,516,988,579,219,682,191,676,948,123,802,
399,297,931,829,514,023,635,561,612,503,277,763,671,124,773,771,633,940,377,
716,879,235,497,261,516,243,320,046,215,809,596,752,304,845,199,862,274,782,
972,600,841,454,252,290,109,648,927,183,885,791,280,597,688,911,569,889,414,
078,634,289,462,962,949,414,456,020,699,819,135,002,194,183,772,023,584,825,
867,321,025,553,283,684,539,750,475,457,743,720,259,663,330,109,837,540,339,
624,324,796,745,207,466,433,130,130,274,988,091,151,386,343,398,367,855,506,
690,748,693,330,717,837,644,487,991,232,883,520,948,503,283,431,815,135,329,
841,760,715,656,399,093,883,786,962,941,887,925,729,410,479,053,432,272,791,
558,819,027,537,264,700,796,693,608,469,243,348,618,842,900,905,412,575,053,
828,536,284,571,130,174,338,348,490,621,148,424,953,819,678,880,210,234,288,
327,894,134,023,866,898,432,022,340,982,608,213,523,592,278,177,527,300,546,
159,742,636,907,982,589,047,198,737,616,319,084,947,127,761,397,623,112,983,
625,366,092,580,821,709,021,382,128,013,845,529,763,380,714,248,763,138,771,
962,258,637,982,268,285,607,423,747,030,469,317,968,709,345,211,795,135,485,
533,033,285,372,059,456,873,018,293,745,899,926,289,618,073,612,818,884,284,
977,566,386,553,383,712,932,896,842,267,117,602,666,836,377,904,098,627,936,
299,178,755,554,921,841,874,730,428,234,552,009,145,385,963,434,323,048,072,
160,720,488,258,666,722,866,553,928,523,978,480,240,549,628,410,866,648,132,
079,193,220,082,306,180,663,305,970,422,549,730,166,284,448,936,726,366,581,
899,141,274,975,909,349,814,940,387,785,166,015,605,883,396,092,133,869,416,
800,470,330,041,719,069,050,524,189,422,280,748,800,040,794,701,344,381,543,
879,552,531,732,639,760,242,324,307,278,980,001,166,814,559,377,829,590,013,
484,181,815,878,564,714,239,792,410,987,124,166,951,027,798,826,184,979,404,
182,153,470,654,849,100,347,891,107,834,632,810,860,146,268,293,214,794,736,
060,892,963,913,108,726,411,690,282,449,231,137,793,786,696,764,254,087,505,
730,237,246,258,731,644,953,731,855,517,765,951,645,512,203,984,623,804,696,
080,775,412,931,933,963,266,012,595,313,268,283,449,296,244,472,799,242,543,
240,075,145,423,972,798,755,986,614,785,791,886,091,245,543,131,795,391,265,
298,921,884,350,520,626,342,645,184,608,474,250,668,173,937,369,587,550,868,
084,989,035,956,332,568,828,900,870,984,737,572,243,357,983,986,461,595,602,
504,337,950,072,328,893,377,236,390,936,683,525,774,995,641,096,656,169,609,
689,386,569,198,137,584,145,557,262,546,151,027,515,853,971,661,790,346,104,
910,827,525,973,142,732,532,238,189,188,703,551,437,692,908,174,339,341,072,
374,275,702,318,579,292,018,566,702,214,634,742,095,591,416,005,980,544,623,
116,377,145,194,789,278,258,075,436,954,358,499,180,657,663,583,212,421,573,
440,512,182,462,014,350,489,004,245,096,003,778,297,536,991,234,090,986,817,
850,494,016,297,372,914,093,766,269,856,950,922,476,160,560,348,604,138,937,
569,223,742,642,028,783,221,336,373,377,521,054,780,094,473,752,674,937,653,
817,398,074,649,081,774,317,434,855,108,098,504,620,488,513,106,023,196,945,
733,013,550,426,700,536,860,515,404,884,069,095,521,944,629,968,076,762,329,
458,658,309,230,748,384,547,789,005,100,090,546,261,755,231,052,753,784,999,
668,422,054,601,009,146,012,157,634,955,073,137,009,629,486,311,250,323,393,
302,166,908,720,070,690,374,794,992,194,123,412,547,343,209,435,673,268,622,
314,479,809,988,374,001,135,779,619,528,779,316,282,073,273,064,479,131,699,
481,329,851,483,131,726,988,867,548,805,198,671,056,157,024,859,256,908,645,
622,765,589,000,920,040,810,525,092,787,357,799,245,624,441,872,862,113,833,
908,862,903,611,521,325,928,733,488,838,351,502,199,715,486,308,009,611,750,
599,861,647,386,441,988,247,409,286,336,106,362,304,890,845,260,460,406,708,
837,713,916,081,723,736,569,365,496,444,031,216,108,563,778,010,272,753,437,
224,067,717,508,244,374,076,657,095,518,338,153,600,332,215,439,681,502,130,
417,200,553,208,381,411,099,756,305,060,956,329,303,251,378,780,496,821,731,
164,422,337,569,153,431,195,369,377,383,510,841,639,858,428,044,895,132,547,
330,170,163,364,616,376,664,597,885,279,406,196,430,019,502,665,615,933,762,
294,766,339,124,615,356,132,266,612,142,192,153,086,540,146,953,887,586,190,
312,850,803,885,907,482,578,114,818,310,250,981,227,444,494,202,301,129,606,
623,858,607,656,711,556,729,981,847,523,287,943,507,363,956,284,682,210,722,
616,298,090,293,747,656,569,888,775,763,667,466,480,417,037,166,876,903,930,
505,811,828,598,102,820,556,205,639,810,907,521,346,309,714,221,500,302,180,
793,494,312,320,063,260,012,976,161,465,034,521,478,477,961,509,450,492,843,
134,241,297,539,587,584,411,437,905,500,907,797,372,089,148,634,754,769,521,
276,167,278,598,733,865,298,014,396,544,144,455,243,189,914,399,494,207,539,
241,179,197,383,386,927,384,462,652,785,418,940,052,004,956,839,751,618,104,
386,988,945,089,006,299,468,488,895,324,182,043,706,824,698,235,976,936,193,
312,966,339,525,953,748,646,333,409,643,361,548,175,082,801,751,358,774,513,
988,207,720,501,158,146,135,730,799,338,221,451,945,638,427,088,737,171,863,
231,731,868,838,809,654,158,619,025,271,235,553,011,932,243,661,133,271,537,
536,776,715,904,743,132,753,976,332,582,986,554,313,205,671,547,807,039,056,
694,125,805,192,793,919,231,327,707,918,687,866,905,075,091,730,258,791,266,
776,140,162,187,737,860,048,033,729,434,686,152,125,049,749,899,594,395,050,
015,148,761,338,284,115,453,276,411,325,235,569,532,283,781,982,347,963,672,
451,808,986,942,406,330,698,802,661,625,244,076,277,622,129,014,685,851,056,
452,763,640,615,464,237,403,580,940,982,353,035,634,364,904,930,599,956,083,
157,627,206,194,246,262,749,260,444,228,512,036,238,846,069,398,706,183,457,
326,141,596,834,888,911,402,586,814,474,959,116,909,477,564,929,644,536,459,
117,813,174,657,869,225,684,595,164,797,855,174,852,657,054,884,727,648,192,
638,289,825,424,346,498,023,175,752,262,684,446,709,206,284,869,883,025,428,
824,738,172,069,747,406,114,218,779,947,772,832,956,128,206,905,608,017,564,
164,830,510,295,461,871,454,629,827,473,430,989,861,715,918,907,985,728,502,
370,187,195,298,171,123,457,348,039,547,693,602,017,289,644,766,221,430,544,
535,939,999,274,849,861,995,275,437,395,109,489,748,397,193,595,989,829,951,
733,850,346,920,797,443,688,589,573,567,536,434,898,443,575,000,939,855,098,
238,361,998,362,141,278,083,018,718,218,780,460,900,602,393,077,815,697,744,
413,777,306,363,858,266,666,558,930,603,130,978,463,415,887,079,877,743,607,
254,972,297,371,709,774,793,349,219,133,480,687,776,298,393,550,762,966,725,
466,524,218,785,882,345,256,930,363,487,691,398,849,372,278,773,136,354,682,
499,513,112,229,748,168,405,133,382,035,087,242,604,734,944,513,781,510,584,
790,863,159,260,454,302,343,402,074,424,509,009,163,087,457,434,912,056,853,
322,560,123,058,968,946,497,106,676,671,525,848,586,488,665,399,056,112,367,
764,872,562,257,166,993,809,762,635,574,630,202,997,920,924,445,568,375,901,
901,605,209,700,187,516,950,202,294,565,620,065,677,175,883,651,593,522,415,
752,946,960,427,663,406,224,455,266,839,631,881,776,624,003,330,564,756,643,
208,632,445,315,625,578,448,840,454,121,331,206,554,396,510,865,262,406,685,
332,123,496,256,069,001,483,518,400,899,533,452,114,034,152,585,899,946,170,
780,513,309,051,370,444,778,671,633,902,963,151,730,258,760,543,236,971,340,
211,381,187,911,908,889,012,067,822,173,593,143,934,844,322,766,070,634,273,
603,498,094,434,407,260,662,426,156,583,386,544,848,672,470,000,635,603,957,
041,604,864,316,543,667,359,922,574,612,505,877,613,405,507,239,810,264,309,
729,658,646,911,040,683,677,464,296,636,547,794,468,887,231,155,069,263,152,
919,480,971,472,020,151,874,510,631,075,820,868,180,677,627,091,810,550,338,
763,350,686,493,381,456,206,865,468,604,040,587,395,894,462,285,228,554,340,
601,176,104,364,930,017,872,536,591,979,780,497,969,109,479,626,866,796,746,
260,699,450,472,458,711,286,124,828,236,363,813,542,323,750,001,857,426,584,
892,033,667,041,428,815,347,632,057,446,184,559,250,865,841,823,250,273,687,
162,590,364,965,505,112,777,065,475,359,490,916,288,606,783,856,338,106,100,
763,283,385,235,453,937,876,408,988,104,012,464,290,723,306,684,438,815,451,
276,959,956,243,876,494,292,997,868,634,280,086,641,593,521,741,134,600,188,
054,172,701,028,657,527,563,557,405,929,028,108,543,123,782,242,612,488,470,
892,816,669,106,294,277,770,206,564,638,787,541,016,701,620,282,320,515,701,
580,246,255,134,001,032,280,341,424,307,327,354,920,274,657,020,273,724,692,
318,931,001,305,786,388,597,498,316,552,245,025,798,728,831,572,345,977,547,
360,455,207,074,397,775,246,320,131,499,683,856,829,645,529,165,049,289,587,
573,448,528,124,613,455,793,796,711,689,843,613,507,356,540,575,948,099,296,
757,235,448,861,197,403,797,790,742,243,886,498,255,895,122,328,437,497,090,
358,933,677,647,770,454,121,530,978,023,301,041,090,858,398,616,059,387,556,
047,638,027,415,412,567,600,100,670,230,743,618,422,285,945,656,723,785,049,
868,773,456,153,358,596,875,913,554,539,503,971,304,307,526,055,913,048,647,
270,893,397,256,236,713,448,598,176,376,918,204,138,860,445,815,693,216,642,
888,078,496,217,933,425,814,627,754,414,397,878,358,796,862,115,871,203,103,
677,734,022,095,821,705,268,226,116,210,534,902,718,904,771,572,858,475,992,
546,343,546,592,236,602,074,594,816,577,087,759,940,613,875,324,338,290,576,
525,807,063,508,360,390,682,119,870,275,211,599,997,686,087,979,556,051,946,
352,965,913,291,658,572,708,899,703,741,057,621,734,953,092,640,689,853,708,
931,152,552,004,548,533,567,774,772,351,033,438,706,724,656,338,545,286,420,
395,851,045,176,282,432,020,059,642,806,369,920,063,485,010,610,797,045,274,
701,248,445,271,571,980,944,203,264,977,293,677,167,178,157,118,009,192,622,
961,843,147,241,174,599,916,711,445,659,675,037,414,505,196,447,836,298,115,
897,921,475,771,645,362,022,058,383,067,923,425,069,986,540,738,749,863,193,
224,505,272,935,089,263,282,066,615,951,932,185,021,579,553,484,564,577,143,
315,437,690,193,266,342,549,918,429,846,244,463,383,610,211,396,819,862,050,
640,291,798,571,456,207,581,794,450,400,676,701,981,153,316,936,112,242,805,
250,373,493,655,593,060,348,394,318,455,485,406,946,818,021,347,362,820,607,
688,653,525,104,608,349,635,760,964,162,758,995,307,746,014,961,562,581,241,
449,675,194,304,930,964,458,641,521,951,472,528,200,189,435,882,761,019,256,
767,783,678,618,171,668,858,356,058,309,481,028,609,864,095,303,943,268,448,
868,901,778,377,467,929,330,994,747,320,629,483,729,433,146,327,533,131,996,
288,261,004,656,496,770,086,362,988,199,484,768,250,273,946,045,290,156,298,
183,015,910,734,387,056,371,466,596,902,992,710,541,228,103,336,869,451,750,
458,136,821,511,975,819,872,237,886,202,711,649,421,711,041,939,191,454,400,
720,385,797,724,571,746,804,443,464,790,623,416,150,998,135,808,613,109,987,
946,271,977,766,318,892,803,764,257,888,996,325,215,794,385,957,629,641,663,
753,396,060,258,059,617,621,554,706,408,004,059,177,287,482,036,754,679,455,
962,765,291,105,969,360,750,852,838,359,457,718,651,372,481,488,789,960,147,
886,473,833,707,514,952,162,657,111,042,141,954,165,651,861,083,729,857,562,
898,032,692,727,399,388,912,926,906,864,982,751,820,004,488,011,338,855,984,
255,044,216,337,170,813,782,566,321,434,257,443,033,086,353,308,931,675,332,
949,226,448,213,042,819,921,906,631,127,089,345,096,096,840,915,628,000,671,
067,438,532,620,953,632,535,417,967,141,324,417,169,487,436,509,070,918,790,
376,765,942,641,306,361,322,076,990,595,017,669,123,366,340,627,068,679,574,
834,440,302,517,581,517,294,507,836,510,602,502,751,456,819,341,688,479,481,
200,562,699,083,431,439,325,830,353,325,699,015,411,968,374,047,677,151,623,
820,988,800,746,913,507,293,702,369,889,828,181,571,558,139,420,247,971,213,
549,082,391,050,949,722,769,740,610,817,813,147,176,015,991,629,212,532,037,
042,715,710,893,692,435,305,152,887,492,048,076,940,609,813,339,224,623,340,
083,469,605,288,737,348,588,184,751,577,433,159,510,550,520,109,147,539,429,
276,056,841,435,618,752,063,983,287,906,586,197,652,314,713,904,133,786,890,
686,660,242,032,284,739,506,413,301,456,600,333,753,943,752,618,137,446,882,
740,148,861,726,973,081,956,883,715,815,126,088,697,507,706,254,823,165,731,
890,118,492,074,494,147,025,881,233,328,508,911,765,869,488,396,602,059,852,
255,825,693,606,343,341,883,341,499,370,962,871,954,319,121,287,078,576,744,
805,723,115,925,909,580,458,385,669,675,126,538,376,441,758,863,703,143,402,
310,509,297,466,207,563,599,202,263,982,349,990,032,697,825,220,978,501,822,
003,230,350,339,956,465,353,432,593,898,545,781,469,140,662,162,960,814,208,
596,669,703,741,876,562,950,043,174,413,761,242,414,279,942,125,602,398,358,
649,732,253,404,688,485,820,424,676,898,662,878,533,393,156,939,731,240,392,
840,919,181,314,094,510,216,234,588,635,219,596,894,271,541,373,136,235,396,
182,936,167,855,115,537,546,400,009,497,822,765,268,744,025,058,315,716,257,
142,469,594,682,934,519,521,501,396,275,265,854,466,419,192,456,831,989,375,
808,811,905,404,632,080,109,000,959,059,737,236,729,069,585,501,064,181,354,
269,224,428,053,555,426,093,478,979,418,125,185,347,469,303,105,927,204,595,
609,261,341,028,806,285,475,971,761,165,157,268,288,232,186,197,465,096,940,
281,999,190,654,915,292,917,017,941,580,496,473,175,543,596,329,515,601,028,
185,204,259,736,071,014,244,576,065,231,370,378,085,600,134,985,608,640,326,
436,290,139,017,464,324,633,166,201,453,275,468,815,992,289,035,761,612,338,
182,846,793,420,076,289,343,460,796,141,347,863,421,586,008,206,968,049,932,
436,154,329,239,437,572,945,205,472,903,765,141,133,948,394,646,076,000,393,
807,257,309,619,956,029,404,184,505,692,326,009,087,618,912,311,469,777,075,
536,113,893,776,296,787,277,115,345,431,467,936,019,457,301,802,507,999,651,
353,340,006,203,805,493,816,828,293,660,834,416,501,942,228,477,689,493,693,
950,549,928,393,555,184,612,510,339,185,175,871,904,146,706,901,205,578,422,
284,626,042,633,394,041,609,789,707,525,536,434,692,864,039,700,259,092,955,
812,396,575,181,875,001,889,319,852,273,981,568,540,331,302,055,224,294,733,
016,942,833,294,226,969,654,820,913,443,389,108,513,368,035,244,981,287,313,
319,973,416,473,801,553,342,142,080,260,805,094,610,318,830,013,709,475,071,
217,609,470,404,741,202,392,665,548,647,446,729,815,685,242,324,741,511,710,
530,152,323,996,448,728,856,383,573,080,572,781,816,716,957,063,169,620,173,
081,842,072,116,092,864,904,629,964,677,684,240,425,696,196,158,459,924,220,
615,145,079,974,408,880,711,975,788,709,003,750,747,829,985,995,475,828,294,
881,424,873,093,392,504,761,598,691,380,822,499,404,492,530,208,208,360,873,
289,175,024,781,486,573,417,769,305,852,170,428,390,411,100,485,935,046,969,
015,336,667,312,033,068,459,393,730,355,862,494,162,756,611,163,910,719,431,
657,299,790,677,178,241,071,937,033,035,074,708,701,688,755,183,748,958,019,
698,549,303,573,341,709,290,727,349,698,858,920,941,748,224,016,838,543,043,
893,705,785,741,873,373,341,493,644,392,234,719,475,065,887,086,124,771,203,
200,095,751,425,844,341,517,177,921,874,894,136,886,004,428,366,041,148,922,
825,138,287,322,944,452,889,797,896,049,486,725,472,680,527,304,223,485,871,
187,145,328,286,625,173,981,108,514,909,823,578,014,620,848,038,504,493,255,
450,977,512,072,207,422,423,027,542,373,491,243,961,722,201,644,827,322,536,
252,915,732,403,672,601,993,799,425,228,876,707,249,092,022,817,996,401,703,
023,669,416,531,385,005,490,851,992,056,790,737,684,331,669,112,497,759,945,
699,896,523,827,854,629,778,504,386,555,568,163,307,878,889,667,099,435,769,
702,425,401,473,027,612,132,042,100,056,910,371,008,962,585,034,356,083,322,
500,420,470,151,197,313,954,754,959,511,308,569,122,325,125,805,546,819,878,
712,842,876,254,720,655,304,627,533,217,442,961,464,389,942,167,451,294,948,
946,546,476,977,287,545,961,012,415,470,590,272,934,209,559,612,986,886,275,
800,378,544,885,633,698,769,799,143,038,624,600,355,413,158,374,945,606,687,
888,238,531,446,158,078,612,948,283,966,269,268,321,178,718,882,157,276,147,
553,896,228,442,666,395,690,799,730,887,835,110,115,446,532,815,919,491,894,
649,636,389,146,707,516,889,741,766,524,278,833,097,571,654,107,778,149,303,
245,542,376,886,170,703,990,501,568,613,128,256,951,178,942,840,356,349,504,
475,477,641,563,445,689,902,784,018,481,989,209,781,839,870,242,971,047,145,
873,997,619,338,110,719,107,275,413,699,877,960,266,105,706,884,701,906,315,
170,746,289,816,537,881,691,358,922,059,931,613,407,898,613,144,339,957,854,
307,990,624,898,600,636,793,010,619,922,652,625,316,458,014,192,201,428,318,
622,372,127,897,428,841,496,923,091,619,143,722,861,138,607,204,325,437,836,
496,378,874,632,320,153,047,544,766,332,292,961,063,439,300,845,675,578,524,
757,005,715,846,433,036,753,727,984,624,166,242,049,569,956,776,413,655,230,
362,469,875,096,856,677,865,812,643,982,304,407,347,937,264,181,987,264,734,
250,601,892,789,066,903,023,221,021,530,615,964,774,247,786,279,728,950,747,
629,039,268,189,687,627,713,085,685,760,166,127,459,609,971,465,827,986,876,
178,471,689,205,298,745,792,662,200,528,822,134,567,419,343,408,171,100,801,
391,282,381,209,738,863,881,040,389,525,269,150,709,354,861,203,486,031,145,
811,871,649,219,953,941,064,046,162,926,376,071,438,730,675,450,223,695,388,
756,356,687,616,079,636,981,208,539,855,487,499,077,840,239,494,854,613,698,
459,594,558,938,936,521,861,957,376,408,288,449,426,216,706,995,243,717,655,
416,657,202,056,892,872,044,092,136,582,442,009,718,697,528,020,411,670,117,
886,328,604,930,396,963,992,192,956,371,093,520,556,620,562,949,383,539,224,
884,783,132,607,895,113,853,604,107,112,716,077,026,696,745,659,036,952,287,
460,290,863,732,878,345,973,506,709,328,662,024,774,197,780,600,622,112,802,
368,199,752,838,746,643,225,017,535,966,718,260,215,360,671,491,603,206,084,
449,848,205,336,125,959,304,955,006,310,455,283,888,104,452,639,204,342,436,
981,325,472,130,205,161,716,649,842,904,142,311,744,943,839,074,321,297,063,
170,923,681,190,580,119,247,409,134,911,169,544,430,138,836,284,928,485,739,
483,319,899,229,857,814,610,920,156,337,328,746,254,395,959,693,627,147,816,
750,921,031,251,488,882,193,440,384,075,317,147,433,083,133,688,643,873,362,
938,252,031,946,225,041,033,450,373,457,975,650,849,919,727,379,450,325,040,
696,211,285,491,788,776,254,400,745,470,820,092,112,565,241,636,489,725,072,
819,717,732,310,135,247,008,995,311,575,947,434,845,609,088,673,266,948,025,
397,611,933,632,558,018,362,277,102,562,588,328,687,951,284,146,129,814,109,
656,241,781,740,064,390,856,155,906,510,266,970,395,104,470,813,611,759,827,
971,652,860,049,300,256,808,216,356,138,561,963,741,819,913,042,298,390,000,
320,831,670,791,505,406,857,560,919,452,293,774,550,694,067,010,615,579,950,
770,486,394,261,370,351,516,930,444,984,489,534,558,853,655,136,112,338,252,
950,846,111,876,616,021,165,443,824,266,809,571,505,524,439,658,402,992,618,
323,969,192,360,075,530,338,771,552,974,621,650,688,517,364,737,494,244,929,
671,753,715,235,709,500,534,086,282,874,423,975,308,375,044,633,626,233,352,
139,405,973,331,699,281,447,168,750,765,531,845,711,727,952,284,430,878,898,
810,292,299,299,427,497,702,218,234,752,205,064,808,049,063,600,213,362,199,
248,843,697,492,502,468,195,777,399,895,048,280,407,072,004,943,264,358,416,
627,466,481,871,176,661,989,888,753,741,564,294,630,592,007,889,807,238,797,
478,397,629,085,002,044,816,000,041,468,635,253,162,210,333,139,205,417,799,
110,533,868,236,763,823,669,295,417,786,168,395,655,810,837,488,867,506,772,
193,205,334,136,348,097,722,509,796,086,920,333,177,148,782,891,041,914,618,
477,791,498,449,285,188,713,752,002,372,071,177,042,720,688,288,011,040,301,
122,293,627,651,259,778,987,014,566,125,684,179,687,754,626,205,082,457,144,
924,904,213,735,941,239,722,781,382,405,508,065,530,912,023,037,720,874,381,
651,187,821,731,354,194,160,886,684,481,952,523,527,137,589,968,122,908,040,
862,171,381,326,100,813,071,357,760,134,121,563,044,200,157,861,647,286,803,
317,928,650,318,480,237,542,837,841,020,138,247,391,716,694,482,497,261,262,
818,804,630,435,959,267,867,305,532,524,959,265,209,169,018,869,980,963,670,
344,079,376,438,450,377,838,945,594,917,716,163,984,980,113,746,786,815,242,
482,904,804,296,681,063,051,797,203,841,272,488,337,574,059,778,479,118,446,
619,864,430,687,022,006,432,839,933,158,017,319,873,539,283,119,177,534,964,
272,110,196,311,281,359,175,421,355,813,715,146,262,291,276,252,004,596,955,
650,655,447,146,764,144,140,982,674,197,561,519,937,233,208,392,356,560,145,
390,917,323,829,934,111,756,975,162,194,154,434,494,544,816,724,998,312,488,
221,150,387,131,179,296,030,379,043,996,806,623,406,260,460,518,988,710,704,
620,489,111,547,239,488,187,370,648,166,108,743,606,402,055,273,337,435,694,
424,895,723,905,471,842,113,692,978,311,764,985,761,307,860,659,455,911,826,
016,693,620,336,039,030,505,975,222,868,334,767,041,409,724,408,018,428,380,
707,183,546,965,268,941,860,446,942,992,542,689,776,864,332,863,293,134,879,
945,598,638,154,385,655,736,143,960,479,644,246,582,596,215,936,885,347,457,
298,135,981,885,114,530,029,837,231,540,222,562,167,635,942,079,380,187,793,
186,442,612,706,631,254,532,172,027,135,244,219,959,723,945,144,901,361,796,
789,976,821,000,306,359,435,373,608,098,462,550,107,631,434,665,261,573,894,
113,163,096,782,662,152,371,020,266,404,736,585,847,355,470,243,279,630,533,
758,765,197,218,946,383,550,536,668,434,048,223,298,421,265,886,251,055,352,
006,905,576,734,788,501,949,273,414,743,379,170,842,937,736,011,843,440,347,
300,618,038,386,195,852,708,078,359,937,860,064,101,342,676,701,748,940,020,
651,060,467,322,330,892,519,219,547,641,776,639,010,244,162,818,650,669,781,
498,086,733,555,240,142,000,780,494,137,740,295,492,840,121,411,647,208,331,
403,325,741,029,456,717,883,548,894,258,284,758,476,728,395,586,100,525,098,
111,160,350,737,424,942,908,485,783,761,660,236,972,433,107,680,821,136,871,
615,029,415,080,212,541,964,964,392,323,294,780,637,446,836,413,958,678,532,
774,767,670,543,930,127,680,958,335,058,478,860,496,863,281,330,608,576,342,
844,492,293,671,385,210,510,446,552,811,023,956,009,606,344,363,596,487,694,
700,353,111,422,241,915,287,325,762,060,574,726,956,121,010,588,236,931,492,
896,882,718,611,539,057,310,024,234,027,797,134,692,838,734,843,101,447,697,
816,768,228,896,182,501,013,650,828,072,865,913,961,804,055,070,040,490,542,
234,453,031,429,369,515,023,113,628,174,555,454,523,991,990,092,496,054,259,
474,673,964,779,893,576,795,124,221,479,077,942,992,724,092,390,712,147,397,
314,677,906,998,908,674,009,241,559,948,872,473,788,990,493,734,747,134,587,
315,660,670,536,555,054,174,960,704,017,097,207,547,213,337,360,717,932,300,
283,412,521,992,697,903,597,638,167,315,896,594,945,543,529,264,507,724,880,
796,029,681,277,381,343,001,429,165,808,403,363,549,202,792,191,976,364,336,
293,258,847,447,211,719,938,813,857,956,147,900,711,551,357,388,492,513,439,
349,285,141,903,890,544,267,773,215,107,220,125,018,221,931,629,077,276,415,
999,414,998,743,832,851,762,446,822,236,624,430,354,481,205,133,623,579,211,
134,869,796,205,706,057,296,433,187,437,586,824,080,067,256,709,463,097,939,
070,312,953,610,841,645,051,019,119,958,672,072,105,452,922,155,959,751,247,
892,309,322,857,672,347,826,546,073,980,644,237,717,915,565,244,395,103,027,
267,982,416,477,453,938,456,441,832,713,781,356,597,609,223,529,577,872,301,
749,194,248,876,312,984,024,728,710,413,523,287,639,872,490,201,441,347,931,
374,125,263,272,545,788,158,939,218,370,433,320,458,470,053,016,388,500,378,
430,989,572,605,691,338,927,438,958,157,929,295,160,005,896,752,410,124,195,
922,232,629,402,285,747,961,121,077,635,485,930,364,508,309,434,339,966,418,
199,164,319,061,897,375,323,867,183,345,302,251,074,714,152,053,779,755,495,
469,904,760,952,179,720,879,857,036,783,232,843,849,384,262,542,153,975,011,
304,564,997,178,259,159,089,962,183,446,279,395,355,804,189,496,466,768,627,
422,998,498,713,138,402,882,927,277,613,533,368,765,065,428,329,149,220,658,
301,017,793,056,907,916,714,004,634,175,758,106,159,418,877,343,035,555,908,
440,927,561,836,606,594,985,704,754,289,268,944,033,690,622,065,953,550,912,
988,759,540,535,087,643,998,868,524,204,407,521,802,185,452,146,551,908,781,
784,627,955,904,967,137,329,317,664,120,865,976,732,544,081,085,181,751,745,
049,245,622,855,917,836,658,315,620,127,221,554,226,110,764,003,615,299,945,
141,264,161,047,922,231,606,725,461,274,976,518,988,555,466,547,016,551,266,
239,453,118,703,068,045,992,272,051,095,354,047,976,860,331,606,200,302,627,
964,090,065,958,842,664,240,415,148,355,668,095,945,982,479,648,331,056,465,
115,879,239,714,218,164,119,789,965,228,869,420,936,379,685,693,256,697,379,
791,379,574,708,820,054,501,374,941,528,095,608,252,663,990,496,098,406,575,
845,411,336,518,666,239,053,682,061,900,463,696,175,381,762,849,061,457,216,
264,944,549,516,708,822,453,637,446,222,557,072,620,846,336,436,069,551,919,
122,881,628,662,555,999,513,883,004,699,392,429,120,537,086,781,246,577,470,
671,551,019,858,807,377,812,862,649,541,791,514,814,065,094,906,871,020,300,
435,144,038,961,463,909,666,731,827,589,928,546,287,771,045,271,030,825,974,
209,081,527,038,642,531,307,813,998,489,056,485,128,033,449,951,646,490,659,
238,430,017,625,316,652,182,584,310,200,674,777,321,900,735,291,477,830,145,
480,689,945,079,885,094,421,177,413,602,188,881,006,903,788,696,313,874,209,
495,482,960,449,104,205,249,417,345,122,324,232,008,941,223,254,300,108,402,
650,386,572,571,520,535,986,332,553,542,399,414,287,610,158,812,887,870,641,
075,636,616,075,714,018,066,132,459,740,699,329,382,398,622,629,276,827,741,
368,240,572,605,885,859,417,427,723,904,685,550,965,269,131,762,444,674,317,
563,509,502,392,975,913,190,856,532,147,714,990,525,534,390,096,737,553,223,
484,082,234,785,101,457,944,537,428,475,715,225,606,278,282,008,026,743,846,
313,905,675,024,424,083,419,231,161,719,941,280,856,633,980,485,176,257,295,
346,541,188,382,350,287,580,436,425,548,876,594,440,432,947,919,423,688,451,
966,316,083,428,239,401,239,330,637,585,683,444,486,705,688,581,583,829,816,
984,821,872,282,663,348,960,933,415,382,361,853,167,376,491,647,158,716,412,
689,175,597,543,321,181,294,796,939,869,374,488,601,021,883,423,194,916,826,
743,285,409,078,316,883,515,312,543,587,209,256,368,862,863,389,850,143,938,
960,705,898,042,634,554,541,491,193,338,042,027,595,413,982,144,215,076,024,
854,775,624,288,674,403,153,789,527,810,761,482,136,390,707,108,273,959,721,
658,330,770,494,485,415,217,213,653,957,964,192,048,272,506,570,611,244,378,
519,883,271,160,752,671,937,817,566,999,939,168,058,232,061,472,872,238,444,
851,947,671,229,775,305,182,274,809,417,054,829,005,105,507,261,236,614,802,
893,989,430,445,981,006,279,897,462,670,790,595,255,243,479,758,249,740,893,
355,430,769,667,814,943,122,140,021,411,082,677,802,586,750,606,127,497,712,
164,433,284,620,171,267,038,917,568,964,515,379,615,880,621,182,206,265,402,
325,185,586,746,026,481,291,158,430,959,922,399,152,896,810,297,945,510,968,
774,217,238,139,729,310,840,054,876,750,622,769,801,526,245,949,185,879,934,
648,404,671,043,799,164,144,361,877,072,917,942,792,684,958,831,615,456,001,
921,366,700,370,270,063,823,727,584,507,130,799,223,001,495,701,085,594,842,
005,226,074,788,421,523,445,243,471,023,445,127,235,153,408,458,505,943,159,
344,581,058,850,787,471,748,368,552,045,316,686,777,330,456,786,269,443,355,
264,261,487,625,820,838,738,115,891,428,590,584,938,243,883,966,489,510,226,
434,059,223,901,662,414,396,608,115,883,027,081,523,802,420,441,223,476,818,
302,615,194,293,353,280,991,464,622,714,907,972,595,576,320,774,579,378,393,
070,813,964,177,668,783,870,921,113,585,039,713,756,294,436,862,832,778,940,
645,662,386,837,575,790,348,996,614,623,063,543,968,738,744,942,461,830,105,
627,869,981,450,688,303,351,533,189,683,805,969,106,176,683,904,033,642,686,
024,827,128,367,729,994,033,985,132,539,486,410,727,728,952,931,285,215,334,
679,039,970,701,346,253,159,758,523,398,109,386,835,275,429,797,055,571,381,
300,859,650,425,722,181,371,850,207,640,369,406,366,264,707,525,505,763,584,
195,469,698,774,211,651,765,436,616,439,796,776,617,973,883,747,874,335,642,
205,762,792,333,006,982,703,410,083,074,626,958,101,822,294,030,285,850,431,
344,741,255,036,555,652,976,091,056,696,033,638,012,656,093,673,607,189,722,
056,491,102,231,257,830,365,635,393,942,389,609,966,081,897,089,219,004,233,
048,796,599,351,766,185,917,591,447,866,503,737,073,925,966,945,278,378,853,
637,655,683,998,018,659,535,295,856,160,224,551,342,116,046,277,901,078,409,
463,959,356,728,168,323,923,133,328,340,779,287,312,093,492,634,283,952,489,
327,099,256,195,909,137,837,087,723,285,218,887,833,750,576,540,313,650,308,
981,598,061,425,381,443,765,955,658,300,750,696,150,447,550,737,047,215,763,
945,794,970,099,828,543,422,790,093,963,475,299,835,034,351,611,036,906,146,
431,995,500,792,099,016,205,428,894,970,039,319,805,585,721,345,048,633,325,
842,025,629,774,959,928,739,333,965,798,629,958,192,688,561,113,391,605,581,
594,369,260,969,680,875,059,335,964,143,007,493,102,552,446,709,608,429,781,
491,002,284,590,616,322,485,585,824,045,712,171,575,868,343,570,045,873,277,
820,646,312,721,869,344,165,159,544,530,171,303,342,353,706,880,638,389,917,
870,445,377,056,229,090,595,363,408,956,122,743,393,876,347,974,528,448,081,
719,427,280,799,487,081,376,861,159,639,526,191,336,576,703,755,487,282,751,
808,238,385,925,484,537,328,711,495,908,402,735,131,754,874,287,759,084,805,
052,903,408,910,926,281,184,371,355,883,753,047,706,740,812,115,534,418,831,
680,082,436,219,369,509,713,674,775,902,269,369,463,693,847,844,856,297,683,
284,560,590,520,383,387,969,539,894,966,812,700,972,574,677,975,152,940,220,
387,944,152,730,122,048,515,535,897,392,086,343,444,684,296,474,610,276,281,
079,061,603,730,565,527,784,128,134,927,207,365,328,074,498,898,477,147,679,
252,934,321,166,296,561,471,236,077,800,893,217,842,359,382,086,683,066,940,
829,419,828,957,541,250,204,727,606,181,242,859,693,200,057,578,925,355,294,
246,953,352,946,964,699,825,620,482,900,902,499,952,130,204,956,941,949,286,
274,141,869,987,378,237,886,035,104,557,633,528,291,764,331,321,720,841,926,
358,670,038,217,873,089,104,100,625,095,889,163,161,783,547,345,473,872,728,
413,703,107,289,212,066,929,202,940,731,066,838,957,965,543,050,709,166,302,
739,308,822,913,609,581,372,543,859,129,850,790,351,896,313,521,783,759,439,
379,764,849,601,771,093,748,523,009,611,954,345,547,319,328,468,079,065,093,
083,528,234,457,114,893,216,501,461,764,661,077,630,404,313,691,706,902,376,
840,504,890,822,925,263,810,155,131,372,742,893,619,671,079,024,535,928,980,
272,063,135,064,929,579,558,323,038,561,905,345,524,822,687,233,405,980,388,
819,367,742,618,876,028,794,498,094,991,712,911,947,146,234,891,925,037,688,
619,562,955,468,541,203,495,651,993,243,188,249,979,399,099,806,718,920,743,
342,011,511,483,119,399,218,413,361,835,717,323,246,419,047,219,251,097,679,
796,941,899,730,357,386,846,722,000,056,863,209,017,387,869,563,934,609,547,
171,502,376,049,273,568,045,272,494,254,018,029,588,968,517,775,090,449,447,
366,848,087,882,212,199,120,617,392,753,287,254,573,536,056,232,401,669,328,
538,697,849,210,353,797,019,645,525,094,727,630,862,455,978,507,297,631,807,
778,425,764,654,832,263,636,356,293,552,843,857,631,430,129,895,919,279,229,
902,653,667,910,007,867,286,719,466,426,152,671,074,899,587,128,544,320,051,
928,867,484,234,142,565,133,934,860,070,541,416,235,352,653,170,027,961,480,
615,807,199,781,869,269,847,242,481,196,151,303,365,023,002,576,632,656,394,
374,937,357,811,271,036,720,579,900,685,684,620,529,577,228,801,906,217,831,
318,887,283,040,726,213,712,228,097,979,081,176,923,732,753,808,580,425,316,
787,402,004,005,409,589,216,234,804,234,460,275,256,191,292,544,823,326,161,
293,421,026,277,542,574,348,445,172,320,417,037,036,568,597,981,048,910,860,
004,892,365,132,610,334,624,498,857,564,537,523,605,451,275,966,260,082,704,
318,594,913,439,570,719,217,683,070,962,311,024,466,345,667,124,314,427,224,
197,005,411,613,072,777,447,306,479,232,295,883,391,007,719,001,493,549,240,
983,351,235,713,856,136,715,491,919,612,411,451,446,401,012,496,496,392,433,
854,716,674,452,484,642,598,707,380,121,344,577,391,530,369,416,409,038,071,
129,391,879,221,988,726,449,701,603,678,309,242,970,609,707,316,442,446,761,
487,935,212,285,205,464,638,358,149,781,922,542,595,705,753,723,046,409,796,
117,591,783,037,886,882,923,969,842,525,398,900,249,714,797,291,494,041,230,
001,283,972,460,647,461,356,257,171,366,995,088,970,852,310,487,392,491,750,
864,147,805,643,518,072,480,197,126,027,468,151,444,640,667,463,235,540,187,
654,238,463,176,348,132,643,613,413,368,452,440,975,584,639,409,631,566,225,
871,369,677,050,705,780,013,452,198,992,840,180,699,845,342,259,711,424,449,
163,181,449,692,077,984,741,660,133,830,766,528,007,106,416,539,061,532,288,
788,017,654,931,274,727,570,291,106,387,394,931,872,121,571,074,278,950,097,
186,794,978,451,259,662,536,475,421,310,689,635,187,893,404,816,136,361,194,
627,452,174,934,260,993,063,383,355,243,234,931,275,850,844,095,332,732,951,
358,457,797,706,706,086,125,216,306,296,683,811,890,582,045,690,327,599,447,
415,508,720,018,888,754,970,437,687,356,832,773,493,849,988,382,580,109,022,
585,861,263,531,789,588,178,651,528,586,025,195,728,553,918,054,048,010,122,
314,288,391,252,495,182,435,546,355,613,760,570,423,032,783,825,009,776,419,
455,271,324,230,624,620,495,013,326,520,019,086,494,223,095,966,141,354,830,
271,560,356,849,931,527,360,933,990,405,197,924,927,683,185,401,285,161,028,
745,047,678,174,802,383,137,101,363,904,973,826,055,414,692,463,130,195,894,
200,543,876,133,863,287,084,890,429,057,699,892,069,527,021,689,962,267,886,
864,196,682,260,913,239,724,053,854,073,788,895,375,065,317,020,558,254,577,
992,037,529,414,967,257,987,256,228,066,742,534,649,109,273,587,346,107,558,
089,140,392,879,253,838,883,344,774,697,173,026,636,463,046,926,107,550,825,
817,348,256,009,390,096,530,680,231,035,593,862,704,417,827,549,645,194,373,
845,058,110,172,940,849,727,314,436,842,998,010,177,702,354,300,412,599,460,
610,887,255,298,228,432,038,663,105,544,621,394,593,144,505,112,256,984,925,
774,318,097,093,626,686,762,921,733,986,794,116,245,514,021,326,816,904,216,
506,332,414,883,969,692,773,705,273,305,298,849,101,563,919,790,075,714,881,
675,505,073,082,118,933,431,137,180,853,180,477,576,248,666,617,548,477,891,
258,807,993,536,490,368,526,315,677,893,533,211,982,038,922,201,189,961,905,
736,079,795,280,550,789,406,989,849,671,237,553,900,257,455,734,337,825,761,
471,722,838,260,482,799,147,370,126,806,574,705,291,432,541,764,908,325,888,
310,578,454,990,454,189,090,664,176,712,821,940,553,917,908,162,355,826,980,
150,353,668,941,815,431,776,432,162,799,197,027,692,405,446,186,616,536,601,
283,515,406,883,541,920,946,698,211,952,979,758,436,401,394,024,424,749,297,
607,839,299,659,804,622,060,362,802,222,744,671,072,358,793,115,464,502,762,
258,767,845,143,550,267,000,134,787,991,220,390,580,865,929,757,193,156,577,
966,441,432,015,109,586,300,058,188,502,169,767,228,664,832,501,592,383,782,
245,583,160,835,647,701,928,838,326,054,618,272,151,207,043,948,977,346,082,
442,823,240,956,294,680,097,725,301,043,247,981,078,393,572,443,434,665,301,
728,571,418,618,209,924,636,058,798,671,969,585,872,897,507,378,089,098,431,
942,635,946,567,543,596,570,291,499,143,778,230,104,874,743,323,560,025,851,
791,493,139,524,738,611,163,155,605,475,571,424,428,185,518,725,414,834,551,
387,256,904,702,260,153,202,659,444,596,193,212,401,332,675,228,290,539,566,
979,671,851,914,509,161,147,765,900,045,517,950,765,878,210,139,936,577,920,
506,103,343,130,182,902,722,722,573,079,059,526,346,457,145,357,906,601,321,
477,823,597,574,773,513,970,519,499,088,722,809,562,971,264,274,919,862,141,
444,119,507,095,467,825,012,502,927,718,852,737,241,417,466,858,454,911,058,
383,135,238,310,868,306,560,097,386,317,355,551,787,722,068,902,717,608,244,
095,492,116,347,191,212,000,727,760,566,246,948,398,376,248,101,149,873,907,
458,888,284,959,028,865,349,494,080,442,870,047,956,541,560,699,801,848,005,
935,013,282,220,623,626,139,267,544,116,130,663,928,654,566,301,524,428,201,
898,845,837,425,035,809,816,661,935,702,943,537,902,607,929,669,799,195,289,
274,589,061,322,567,514,018,883,037,437,642,817,655,823,727,084,243,491,923,
196,562,054,790,410,739,086,790,752,720,189,310,389,691,814,310,182,201,632,
488,954,583,278,313,708,030,564,832,198,976,540,980,284,057,776,813,398,983,
046,205,952,309,611,537,258,974,303,711,487,357,808,991,487,949,788,432,890,
318,269,838,060,715,437,017,102,796,769,988,116,468,353,067,072,541,259,333,
064,798,890,786,194,795,555,021,650,777,562,062,954,723,728,881,224,037,727,
841,229,370,115,191,186,854,640,275,189,859,852,266,632,587,314,941,215,211,
149,242,432,076,575,540,026,952,406,280,146,149,167,324,228,244,089,873,930,
863,597,078,816,601,246,038,954,720,120,789,365,108,973,391,578,691,754,636,
862,354,943,527,106,255,776,876,528,851,087,577,556,384,147,136,168,367,625,
552,896,402,599,514,417,481,562,112,396,254,032,737,704,892,525,180,494,127,
381,231,254,941,578,672,109,034,547,573,358,810,811,952,108,188,776,576,415,
811,921,285,791,791,781,441,272,933,269,970,168,813,187,542,604,298,038,443,
662,120,194,934,643,167,314,583,544,037,613,327,382,019,359,575,404,479,086,
124,138,493,225,706,129,749,188,665,019,837,701,152,603,046,573,900,160,904,
851,027,863,315,508,363,939,827,456,942,405,469,118,948,849,362,356,482,963,
910,029,078,518,053,051,587,706,974,410,110,629,827,926,402,021,618,787,134,
720,683,946,142,503,051,584,010,701,354,077,278,068,313,497,401,635,373,927,
407,297,807,441,044,505,226,667,575,846,599,222,120,709,526,435,401,477,097,
427,741,953,836,623,080,558,928,317,709,027,883,830,357,751,470,724,686,058,
509,834,244,503,625,332,703,167,368,848,683,105,311,359,824,121,325,923,138,
362,019,850,691,110,200,928,033,352,739,683,783,564,277,139,099,191,000,735,
439,044,439,858,417,684,500,587,994,442,209,597,761,780,553,716,792,283,951,
440,355,453,151,314,689,629,879,454,089,746,511,465,819,415,947,249,524,616,
692,342,926,953,391,104,691,087,955,614,420,417,928,366,715,369,153,287,642,
281,335,184,812,024,057,178,332,906,751,512,304,530,576,523,884,892,817,920,
694,791,419,967,113,702,248,697,448,705,000,817,916,661,993,031,952,037,103,
206,804,989,054,531,723,197,979,647,317,533,759,622,169,664,075,653,537,206,
111,589,572,534,722,013,241,359,679,019,709,066,469,528,778,042,018,701,094,
034,570,638,835,796,851,799,407,161,375,323,129,707,196,534,289,884,213,482,
572,351,612,536,888,867,998,708,493,006,236,932,532,761,758,779,333,099,484,
866,506,233,912,689,410,993,471,740,173,067,914,010,938,271,697,623,084,552,
055,092,536,240,032,247,223,696,276,736,511,396,245,313,874,916,648,019,293,
581,426,549,144,645,805,990,187,598,705,690,630,463,879,949,516,187,069,124,
724,272,299,178,174,616,611,299,496,459,899,227,819,411,798,136,402,903,603,
586,708,457,704,018,475,189,995,977,945,977,610,802,887,827,200,193,399,019,
542,358,588,500,078,182,085,172,477,315,202,124,508,040,937,863,623,788,894,
616,569,468,430,433,811,820,612,441,380,014,996,408,751,654,077,447,772,652,
350,072,997,622,294,303,680,444,590,066,507,294,490,842,247,774,670,124,220,
391,569,494,376,284,924,923,375,274,250,316,152,820,846,447,512,289,533,707,
465,866,868,615,812,509,156,802,339,223,184,532,725,642,987,515,992,571,712,
099,325,796,151,835,238,091,496,236,821,540,900,823,130,513,933,525,036,391,
244,703,007,636,055,710,385,611,177,280,533,896,543,258,734,431,762,261,608,
727,454,256,199,356,817,785,508,439,659,158,257,941,431,850,706,862,197,256,
010,686,914,240,310,538,852,287,553,156,431,678,690,339,110,583,724,167,644,
427,354,229,366,112,659,146,874,867,937,823,839,407,892,844,638,309,785,018,
392,009,409,681,527,607,327,346,900,473,489,627,535,340,553,785,494,186,919,
019,870,155,346,407,935,042,068,069,112,345,112,710,047,934,267,650,846,606,
300,420,316,260,865,917,853,859,252,942,601,952,454,332,676,753,403,623,896,
358,010,385,556,916,799,938,300,699,299,954,108,961,337,008,902,791,797,025,
853,012,029,408,377,353,473,617,219,665,835,886,156,129,051,567,973,023,969,
526,223,745,368,254,719,675,981,870,698,491,558,159,726,141,494,371,579,230,
992,076,450,161,648,556,810,117,206,005,804,651,228,856,172,622,154,148,061,
996,192,246,496,599,651,022,687,580,484,429,393,496,985,826,459,256,595,421,
465,220,555,374,399,967,939,205,481,227,496,367,840,674,521,410,971,777,803,
191,344,267,456,532,325,757,627,397,623,327,331,800,649,140,691,354,420,655,
998,151,679,758,949,613,551,823,161,556,376,205,959,977,291,316,151,100,782,
614,897,972,664,683,295,674,044,095,741,575,632,442,849,631,812,068,114,301,
519,907,771,488,120,285,442,861,245,339,864,158,131,358,733,556,517,546,840,
646,252,282,957,060,815,652,635,699,842,364,158,487,126,368,298,781,571,557,
135,359,655,895,180,883,761,432,548,583,281,507,927,339,167,625,311,116,594,
273,594,644,152,881,130,197,818,440,116,995,932,227,029,430,207,568,116,386,
801,214,073,494,248,074,816,195,203,587,902,664,712,318,599,205,374,660,504,
159,762,332,609,657,541,112,700,563,149,792,183,226,548,082,897,398,235,386,
227,247,263,564,274,312,462,556,587,723,302,520,413,367,289,269,586,252,317,
542,195,504,421,700,350,802,668,582,362,197,526,408,225,208,802,365,922,379,
318,625,743,246,660,939,015,652,969,228,089,777,958,551,167,677,048,815,100,
296,393,812,120,060,536,290,723,229,841,417,079,010,905,561,473,765,187,715,
910,245,408,222,602,515,955,865,260,782,408,019,627,134,708,830,263,376,779,
090,557,327,675,132,424,203,261,818,883,358,622,942,334,193,474,952,894,633,
253,136,344,650,426,176,984,717,666,617,494,838,826,444,430,675,094,667,158,
295,673,137,320,717,027,650,318,713,763,346,129,121,993,160,942,023,674,128,
680,198,948,399,881,700,994,144,250,134,696,713,619,113,969,256,937,212,091,
143,714,860,091,602,884,405,773,766,368,064,550,457,311,132,676,285,030,210,
549,642,991,056,736,858,148,236,652,169,822,242,914,181,022,285,298,888,359,
935,136,037,722,040,102,707,461,595,974,635,806,266,467,556,495,951,266,197,
127,878,385,506,737,577,678,726,833,382,666,745,483,473,158,588,600,496,660,
759,279,340,236,951,168,590,005,107,636,428,165,415,843,862,855,242,384,526,
687,464,760,788,056,305,806,656,451,299,974,767,311,568,922,604,932,950,359,
936,282,236,869,702,008,317,538,295,901,995,217,637,724,960,518,775,454,389,
866,497,603,869,498,417,024,241,582,795,489,656,932,099,577,748,444,654,451,
916,156,104,339,980,732,385,729,516,142,622,785,869,126,357,862,164,050,852,
744,227,162,193,540,860,223,008,875,541,919,180,874,009,032,181,722,037,633,
846,185,707,683,174,685,877,113,076,582,272,864,736,138,533,789,948,551,315,
046,412,827,114,432,287,989,163,943,701,529,137,297,662,558,326,733,699,056,
772,394,789,269,241,284,416,179,584,369,735,379,327,367,066,169,954,880,640,
238,351,522,735,266,973,310,996,765,123,338,833,594,255,283,856,922,727,816,
550,560,923,404,216,302,804,810,958,091,007,672,955,480,505,437,418,889,245,
645,967,818,213,035,747,688,422,378,527,265,141,640,469,235,959,693,341,576,
552,762,353,283,720,722,183,464,654,919,343,144,070,325,499,919,481,933,301,
022,838,016,565,005,786,986,095,904,742,619,097,526,374,456,676,610,450,505,
654,311,629,413,079,586,523,760,513,179,618,675,523,292,964,737,865,891,382,
607,406,271,199,874,871,200,366,153,913,253,877,883,722,112,323,972,653,127,
089,693,859,572,632,897,728,462,212,488,568,543,922,426,581,463,912,289,973,
031,040,528,294,755,139,342,247,877,803,551,896,431,456,475,016,065,148,306,
798,306,320,968,455,634,688,133,079,120,894,043,668,787,401,873,115,017,228,
641,992,801,025,003,494,929,233,377,818,964,011,422,991,568,461,619,108,530,
062,606,103,133,630,510,422,251,684,784,962,835,864,905,035,140,291,264,680,
939,430,286,604,316,008,130,717,423,630,042,746,536,122,443,533,809,139,516,
392,308,385,242,369,325,694,606,946,384,138,958,314,433,418,674,706,336,456,
673,570,776,240,581,111,555,176,420,201,004,142,893,614,865,276,511,288,518,
664,310,009,423,943,782,155,073,665,694,636,812,170,809,053,864,329,698,825,
177,143,063,450,451,947,500,743,594,050,045,073,783,543,936,567,867,914,400,
107,274,734,019,799,438,431,558,076,549,268,960,689,126,016,776,010,595,655,
921,453,202,525,635,763,887,728,940,350,384,371,852,827,545,908,201,235,420,
872,016,228,211,930,135,846,299,628,884,846,820,267,652,046,516,406,205,264,
342,261,675,079,188,980,675,608,974,325,363,234,561,787,870,200,990,476,144,
496,647,874,133,580,821,545,021,459,222,038,099,781,678,056,261,503,426,032,
230,345,208,889,849,625,601,234,146,970,238,452,743,944,290,021,998,872,655,
583,205,702,463,886,854,489,216,572,020,296,169,243,932,516,222,544,218,959,
081,967,477,209,008,416,023,070,631,042,815,831,722,195,505,986,858,267,605,
628,907,481,380,457,419,265,184,369,808,616,594,282,207,506,955,920,124,050,
036,245,930,798,245,761,747,264,164,847,101,254,163,576,942,033,557,083,959,
971,359,243,384,738,313,910,361,904,805,301,422,679,814,922,885,146,692,364,
544,481,651,630,611,916,122,325,732,796,618,106,554,099,556,703,236,072,378,
814,398,697,462,650,950,190,060,105,321,683,136,697,367,430,531,997,774,036,
164,442,713,595,636,854,479,183,411,733,117,797,831,026,533,627,410,182,863,
364,174,415,166,948,013,880,469,828,278,089,098,659,792,945,343,911,773,194,
139,981,684,642,880,544,896,706,942,653,696,789,211,384,171,111,900,018,665,
045,689,617,487,678,706,427,206,827,812,337,701,988,403,315,765,654,207,513,
763,012,286,344,316,325,648,150,323,452,756,595,474,985,887,775,543,773,330,
257,175,862,521,807,022,207,549,518,631,253,535,516,387,019,514,231,947,373,
195,460,168,464,255,575,366,992,418,821,003,073,304,001,704,428,343,850,049,
144,742,222,519,982,268,535,728,067,386,291,996,149,065,110,498,689,457,223,
908,569,818,892,548,404,024,056,205,229,150,199,991,741,711,831,922,513,815,
143,061,059,619,134,154,713,187,001,274,374,413,858,226,634,107,324,378,054,
321,083,081,567,378,462,124,004,905,306,386,957,773,407,574,824,784,576,348,
849,602,531,015,586,229,269,815,045,338,860,043,407,827,324,609,185,215,765,
126,858,195,898,821,682,652,869,577,520,308,459,600,839,104,508,702,920,549,
073,691,264,154,380,198,523,837,054,396,198,189,329,362,916,098,563,307,683,
390,881,424,901,486,763,087,442,541,452,093,570,729,856,760,251,205,666,765,
301,428,402,269,656,832,975,472,164,656,848,755,772,120,611,904,677,875,603,
007,287,957,685,541,358,968,347,936,130,277,582,092,138,406,943,840,013,877,
756,259,275,449,194,839,276,701,617,164,417,326,481,023,377,659,286,644,770,
298,939,825,460,356,258,321,342,984,969,055,181,030,730,451,165,802,850,788,
642,057,419,947,321,657,265,075,210,697,460,516,000,588,108,683,344,976,730,
340,456,456,308,372,776,029,443,774,697,389,409,651,490,211,666,831,181,178,
781,766,597,736,864,849,256,218,529,035,168,330,047,308,005,484,779,008,609,
839,418,499,701,098,852,424,654,000,659,905,348,222,613,199,128,283,161,854,
329,105,328,904,693,404,261,727,663,748,713,631,523,123,247,768,548,664,784,
843,397,605,554,063,972,636,589,527,483,137,132,202,709,016,702,428,041,391,
438,367,694,851,061,217,487,239,657,901,851,791,459,538,740,443,057,236,330,
560,763,524,796,092,887,651,581,388,567,248,282,362,569,562,664,152,634,645,
635,171,463,878,586,429,958,623,402,334,917,559,262,348,393,822,485,561,013,
423,603,467,948,642,505,171,392,246,130,845,394,622,992,600,961,293,022,848,
190,609,078,232,720,341,158,636,768,773,535,531,769,525,491,223,647,904,595,
592,389,696,957,396,369,998,763,021,703,324,287,977,274,288,289,341,693,063,
392,375,579,437,049,126,190,035,125,223,264,112,265,416,637,727,708,436,464,
331,620,087,023,773,179,063,357,635,233,936,893,534,695,357,020,578,963,654,
562,059,976,202,286,414,592,732,557,329,229,410,527,739,468,362,983,983,528,
765,154,856,086,550,047,745,769,930,576,133,334,332,704,344,386,370,516,252,
323,326,355,702,857,593,358,838,532,429,992,441,437,182,168,826,362,894,674,
354,556,795,722,587,421,580,927,349,583,413,556,979,104,383,680,899,968,470,
434,094,630,203,766,186,692,164,344,187,010,672,051,416,565,550,989,355,146,
337,026,747,396,760,504,410,366,670,365,653,646,567,793,819,120,702,379,470,
979,939,299,070,201,239,365,398,166,859,822,149,454,591,509,516,017,003,837,
566,161,776,165,653,367,529,064,557,259,810,547,842,101,628,716,698,485,723,
292,968,638,135,686,235,736,108,341,664,507,086,919,160,994,757,302,310,899,
408,620,297,246,981,853,256,045,522,203,756,676,907,269,857,245,839,129,907,
077,714,879,847,031,862,230,651,966,945,625,591,465,546,584,593,464,534,047,
210,459,484,955,774,242,989,069,115,535,443,545,318,253,938,222,752,932,030,
677,967,223,838,464,406,644,209,375,313,278,725,358,716,647,397,243,772,488,
593,585,365,114,842,568,279,923,218,322,657,959,125,142,337,559,531,449,026,
910,992,988,458,249,813,716,170,629,613,919,024,122,224,234,602,514,950,930,
188,279,542,347,159,429,571,763,770,228,351,482,684,850,082,315,687,971,787,
694,813,116,013,635,917,731,660,872,729,170,551,076,410,793,937,444,440,320,
866,183,277,782,878,018,755,563,192,198,952,023,422,830,113,418,413,623,101,
181,496,889,377,884,640,663,344,651,652,474,752,890,360,669,489,179,917,874,
133,465,444,825,247,042,847,394,410,416,021,940,440,323,594,844,708,938,364,
922,164,714,739,823,382,024,579,951,387,362,372,846,043,084,766,911,728,432,
482,015,918,109,016,831,399,321,894,415,830,918,938,225,696,140,993,579,966,
871,969,187,121,161,862,493,934,509,787,449,211,261,515,029,837,754,307,537,
327,948,101,610,092,334,619,403,251,759,476,071,526,537,443,344,154,685,174,
932,804,567,886,794,090,302,827,459,863,570,860,319,818,237,453,312,184,554,
982,197,452,117,146,061,961,726,156,681,372,617,204,498,857,746,099,880,833,
177,029,745,217,539,495,659,554,917,259,363,006,430,896,766,794,211,074,846,
287,412,491,134,937,895,481,928,838,026,530,597,988,364,129,305,951,563,842,
540,180,225,002,409,875,412,707,826,128,608,805,627,521,111,114,993,963,794,
064,925,897,175,189,897,719,674,084,680,990,273,313,357,335,133,534,429,250,
411,174,814,401,544,429,119,135,828,460,834,997,550,248,774,693,875,734,890,
604,985,444,226,103,416,227,623,985,200,137,602,815,449,369,608,411,630,941,
630,245,878,386,989,620,286,968,630,361,510,336,235,119,778,639,494,068,528,
308,823,717,032,501,847,662,493,588,675,973,823,842,746,427,827,799,060,858,
234,709,358,771,266,265,512,207,311,151,344,322,308,652,143,170,006,123,030,
305,407,979,576,989,512,340,189,792,521,531,825,556,843,827,718,821,907,763,
773,873,834,169,602,704,698,359,387,173,675,760,027,441,723,398,389,209,269,
951,009,742,467,572,561,348,253,644,395,862,196,833,573,040,227,201,565,553,
931,013,118,566,822,860,581,483,005,648,731,533,669,865,171,125,534,776,546,
348,860,201,970,524,136,643,779,531,234,295,205,720,501,359,600,559,363,008,
409,039,628,730,125,013,470,912,937,246,047,234,471,797,265,133,689,727,653,
010,845,474,912,872,706,385,845,530,188,430,636,770,225,001,748,409,034,165,
093,363,374,643,596,640,242,811,005,648,921,951,851,646,507,565,965,228,078,
001,896,804,998,809,210,519,635,805,416,303,580,506,360,105,855,618,616,967,
164,839,446,944,626,652,729,277,864,632,544,558,691,151,623,487,588,277,488,
886,073,352,588,640,230,263,739,791,925,608,413,501,190,259,320,215,178,796,
369,334,900,638,676,207,606,568,816,300,282,810,786,250,369,844,484,123,879,
845,752,537,627,857,400,693,264,627,869,775,203,673,586,351,106,351,827,334,
743,282,401,869,234,039,940,795,553,120,067,189,991,293,569,742,693,315,943,
892,104,001,692,282,323,563,391,121,063,331,359,463,336,425,149,296,676,364,
898,225,681,467,561,245,398,358,041,671,751,720,260,610,777,465,241,068,303,
939,932,218,460,120,388,903,978,776,115,065,419,256,610,157,379,023,848,273,
671,919,408,676,310,003,418,581,890,616,414,071,498,996,144,260,003,325,191,
029,477,998,065,443,552,153,709,239,649,029,520,454,850,767,861,828,490,520,
750,038,421,306,185,882,201,190,042,188,262,869,001,174,936,491,172,561,293,
645,347,676,016,847,709,642,462,010,197,421,708,007,266,601,873,328,197,896,
555,229,404,364,221,644,033,257,201,608,308,529,091,461,796,904,673,820,383,
192,960,742,247,519,919,626,104,358,847,015,813,509,623,183,585,096,986,892,
209,454,313,375,469,738,636,765,794,705,164,053,333,198,904,277,915,478,899,
650,914,511,735,806,900,590,180,542,934,683,563,764,040,505,571,328,139,311,
577,255,016,565,450,994,312,038,420,905,129,185,014,208,917,212,695,419,527,
063,733,333,065,913,066,336,471,265,044,977,256,472,422,022,356,178,886,638,
151,910,040,132,967,383,278,402,983,330,475,113,185,326,230,557,673,291,830,
801,585,181,835,983,531,718,636,460,254,825,392,908,706,125,398,543,609,098,
043,765,268,148,772,974,012,934,549,837,902,895,160,392,425,743,888,966,122,
181,129,058,926,036,816,555,796,872,646,194,028,213,649,526,197,460,506,935,
605,904,789,228,201,147,935,562,486,119,540,670,888,695,285,750,381,822,430,
870,020,213,348,921,947,702,101,054,820,004,143,071,629,149,518,256,330,874,
949,537,839,230,927,412,027,270,662,571,118,373,877,742,836,254,426,959,012,
098,320,288,219,224,068,323,390,628,343,039,083,494,985,057,885,574,081,459,
973,050,132,362,925,603,201,009,820,866,490,761,470,251,494,598,863,029,523,
104,122,298,071,032,817,010,421,131,416,168,789,513,689,014,248,321,346,051,
128,794,308,990,271,033,422,267,551,982,129,255,559,897,756,861,305,927,269,
407,057,002,007,330,420,876,406,219,892,949,625,931,745,327,737,746,423,174,
582,076,480,099,925,211,415,058,070,695,380,345,553,340,226,274,388,282,232,
945,165,714,492,577,444,307,530,378,385,965,686,245,878,874,700,883,157,741,
146,490,296,040,854,058,070,847,057,432,746,331,145,810,872,885,946,993,680,
424,864,733,028,920,018,156,440,763,614,254,445,491,913,173,125,435,322,469,
611,673,649,884,493,983,541,305,167,487,721,967,566,409,439,690,487,996,364,
719,392,270,750,519,137,056,513,500,502,037,170,338,365,249,007,345,022,234,
307,009,502,240,821,148,877,665,870,773,936,510,828,411,309,456,474,962,902,
443,417,681,386,914,897,485,281,960,729,239,955,354,154,842,557,870,311,919,
055,931,810,165,383,107,150,519,784,349,656,430,405,076,066,152,699,638,724,
759,432,478,630,045,381,757,606,967,374,871,351,738,601,394,837,500,343,074,
343,310,564,347,984,431,643,627,181,866,875,169,241,664,462,511,753,698,920,
115,039,099,849,325,436,621,739,200,032,735,026,631,847,382,260,558,533,291,
711,813,260,441,408,011,684,054,264,982,532,380,059,221,087,277,789,286,836,
287,974,950,552,783,057,988,808,258,485,208,641,243,114,908,008,454,763,793,
831,315,917,679,739,243,154,546,122,009,287,865,502,137,519,475,647,089,505,
518,627,930,454,126,144,109,422,254,106,025,440,922,404,507,331,149,047,595,
339,067,547,894,486,647,273,665,856,208,581,340,179,843,753,914,609,650,755,
923,522,022,537,482,659,558,384,889,597,023,202,531,187,911,642,622,683,675,
823,029,873,583,945,353,577,860,183,937,813,338,509,162,784,555,897,388,465,
847,338,180,818,778,893,736,651,082,521,533,249,185,160,764,420,349,786,702,
412,241,948,851,294,452,897,653,537,489,258,323,184,090,232,597,869,598,622,
489,642,509,012,976,823,824,670,700,954,605,675,213,354,519,628,416,286,732,
388,263,380,680,379,009,669,149,324,548,246,925,372,992,062,963,577,693,166,
292,300,482,688,309,574,961,567,732,121,383,436,938,728,888,421,090,162,247,
585,554,706,846,243,501,045,663,278,837,094,427,157,362,264,583,109,291,166,
423,930,240,257,265,231,137,015,966,645,643,344,098,396,266,678,970,357,047,
763,677,599,507,342,863,668,466,954,402,689,052,057,191,641,974,799,539,580,
475,325,047,352,370,111,670,613,599,886,879,679,632,334,116,648,303,957,284,
332,102,920,120,833,134,655,979,098,298,054,606,768,580,554,338,773,649,164,
197,290,800,936,861,239,419,207,713,318,315,465,609,292,184,816,428,857,215,
526,380,739,438,573,702,760,190,644,440,587,529,821,669,186,832,551,694,096,
663,259,177,280,487,603,209,611,289,733,086,435,227,787,785,194,196,650,602,
921,643,754,312,124,167,776,155,642,176,203,895,565,851,922,357,229,676,134,
427,081,704,580,283,477,965,960,867,195,997,841,006,448,608,951,830,860,616,
410,584,143,780,436,978,385,001,379,535,998,122,559,032,169,371,781,070,728,
091,146,869,187,976,703,382,068,520,038,592,814,363,259,014,469,163,638,529,
715,665,251,430,739,145,691,254,336,236,508,460,437,670,467,587,645,709,316,
419,123,396,590,160,748,500,179,983,855,115,242,312,374,018,793,053,080,101,
716,771,960,722,218,453,731,119,294,901,687,759,997,920,981,658,114,570,836,
808,544,322,875,437,244,682,378,789,865,070,214,595,357,530,542,136,676,596,
620,489,087,794,631,244,664,550,362,597,426,710,039,638,924,958,114,879,082,
720,083,684,946,239,250,657,385,587,057,067,896,510,079,127,474,057,806,137,
655,823,276,037,861,677,607,890,922,562,517,068,590,733,340,203,333,244,379,
254,371,371,330,196,234,280,742,869,358,627,053,337,953,509,743,674,299,344,
767,034,576,623,086,692,193,072,704,260,593,258,121,172,972,101,713,337,535,
073,679,917,285,648,494,629,276,355,030,483,181,475,792,284,955,224,427,576,
898,148,797,483,695,241,834,439,860,088,390,033,006,264,265,681,683,756,546,
138,631,777,356,678,399,065,276,779,990,224,897,960,741,155,819,191,887,289,
198,914,056,243,522,130,842,532,672,457,546,329,898,231,894,164,049,773,730,
918,133,054,134,989,475,835,393,123,158,526,936,840,221,608,639,021,590,456,
738,008,235,167,659,393,050,149,208,609,814,857,163,510,024,334,559,002,933,
535,626,704,049,213,949,291,410,273,350,019,501,656,596,145,521,933,526,764,
971,226,676,256,601,471,309,146,705,886,908,061,693,804,895,211,297,046,188,
665,081,545,541,287,772,254,063,895,033,030,952,575,658,763,460,908,509,866,
408,740,605,115,588,161,660,369,757,311,053,537,097,841,583,507,418,408,718,
352,495,312,258,620,380,646,791,500,246,203,281,501,710,800,365,891,709,084,
430,992,873,196,200,978,722,318,387,600,118,963,164,923,117,933,187,797,410,
022,247,940,018,419,327,032,151,694,235,000,326,871,787,007,151,811,009,989,
807,772,442,999,516,130,782,211,539,419,862,558,112,727,563,841,656,360,748,
313,854,815,196,731,482,370,097,866,854,506,085,052,919,590,088,872,146,628,
550,712,217,113,189,450,127,232,328,115,419,448,519,010,446,429,518,713,893,
878,451,862,554,133,410,567,222,377,334,511,336,700,237,634,221,130,078,988,
773,502,504,021,680,471,690,617,877,708,843,997,134,685,533,506,532,099,769,
912,673,671,751,807,907,565,180,467,311,962,910,365,865,824,897,779,488,630,
028,895,865,850,818,834,817,279,491,201,089,939,716,138,716,045,389,480,287,
894,108,223,042,695,280,241,622,835,221,602,970,698,026,078,651,629,259,542,
316,006,752,844,279,005,383,930,748,845,854,147,518,134,377,004,887,440,455,
528,380,061,142,052,961,175,532,928,484,406,283,769,592,067,566,427,116,489,
895,294,731,178,229,253,368,092,928,062,975,677,051,425,471,399,010,768,940,
969,961,237,063,815,566,350,455,035,298,597,108,917,319,511,256,604,471,233,
221,423,609,430,111,420,632,494,173,132,626,135,362,249,744,154,219,126,185,
293,395,380,718,501,654,718,117,345,718,670,927,816,241,167,189,332,715,253,
732,182,475,295,372,671,679,166,446,703,339,384,207,530,686,755,752,924,378,
268,449,175,438,159,576,542,250,476,625,324,494,557,750,913,913,590,304,307,
744,640,280,236,745,536,551,375,567,016,049,107,135,024,098,990,539,830,665,
607,285,640,632,160,651,776,033,554,884,628,796,639,055,940,044,660,675,656,
966,927,441,668,100,704,156,499,803,640,023,334,626,718,550,875,310,861,886,
811,326,330,549,275,732,774,821,555,557,577,289,282,658,189,828,122,882,871,
811,156,911,308,789,661,866,179,617,650,531,453,679,560,897,327,100,361,553,
275,396,220,813,938,761,050,631,393,310,718,751,580,118,962,300,591,234,324,
473,340,843,372,563,567,385,326,200,431,949,186,985,893,345,705,507,093,859,
960,053,493,648,134,859,433,767,148,250,770,525,837,024,714,209,569,577,670,
736,790,579,961,641,493,217,820,526,826,173,266,687,724,673,496,391,758,499,
467,064,763,431,808,420,626,914,933,579,673,388,438,306,449,476,880,189,202,
799,844,528,948,398,211,713,324,645,522,209,388,696,820,192,585,954,179,496,
216,518,979,371,209,447,618,291,300,214,051,335,702,325,635,728,390,873,124,
880,073,268,755,229,482,542,669,583,535,217,723,032,830,347,522,827,738,805,
397,539,443,254,516,887,017,848,633,647,392,555,988,700,960,427,414,342,949,
123,514,726,697,038,502,654,000,807,465,514,777,653,019,868,299,097,568,035,
294,119,573,732,516,416,279,034,240,837,996,287,529,366,810,527,922,375,420,
509,207,450,857,879,737,213,468,055,793,970,468,474,332,187,472,259,287,865,
801,170,258,955,848,046,232,589,628,724,185,065,193,582,852,066,844,350,775,
161,999,815,332,102,314,315,907,198,756,048,502,216,157,495,559,124,918,171,
778,471,028,461,994,711,477,543,427,832,259,978,627,009,699,302,304,448,791,
270,143,984,546,430,540,359,919,840,035,758,333,437,243,694,145,032,300,781,
389,552,444,808,510,985,652,419,256,009,208,276,702,432,244,470,227,394,108,
153,451,076,062,482,647,596,006,094,442,818,319,506,526,103,136,998,982,747,
948,047,725,498,400,666,652,627,628,453,803,596,821,840,023,046,330,369,117,
012,648,433,748,309,764,566,228,133,693,427,459,792,545,189,955,035,893,248,
959,192,421,529,751,981,327,078,652,415,307,866,811,182,130,398,851,689,971,
894,778,124,519,128,475,905,668,199,946,665,185,355,769,082,912,573,281,777,
173,923,803,168,973,840,854,707,684,200,487,458,059,003,794,584,517,900,197,
170,413,464,964,575,788,881,201,003,312,902,800,291,095,815,861,463,789,919,
645,619,860,993,929,533,988,704,981,127,808,932,500,148,755,765,357,690,193,
920,429,943,513,652,982,044,686,399,611,063,393,330,420,462,008,504,208,253,
133,241,530,735,705,421,934,149,455,088,880,680,463,553,239,611,063,711,045,
147,410,856,954,618,240,560,032,314,603,985,582,178,714,250,796,834,750,376,
848,960,978,636,497,475,373,313,409,655,893,490,259,510,473,821,515,929,273,
691,578,771,939,907,095,179,263,751,598,429,338,293,966,378,704,358,258,529,
262,598,907,014,716,394,590,758,868,910,835,284,089,789,436,358,477,793,864,
066,414,680,000,345,490,337,571,306,353,375,421,768,587,273,695,199,780,972,
005,970,427,601,999,886,107,155,050,622,896,161,639,494,790,940,050,084,234,
343,379,076,473,034,267,524,530,856,114,727,444,285,656,050,121,399,883,479,
572,644,187,597,932,321,865,461,341,920,835,244,879,295,419,261,175,559,634,
565,529,516,659,083,334,000,884,449,442,181,896,279,697,549,983,044,897,612,
356,950,776,539,066,049,341,796,257,252,540,911,971,375,061,711,409,415,588,
347,865,556,052,575,524,793,945,752,286,069,691,169,282,409,041,670,430,267,
192,797,770,143,749,647,885,066,517,092,762,124,744,291,487,644,684,163,542,
945,332,683,205,416,674,823,945,552,734,549,573,224,061,151,274,565,519,549,
669,050,872,409,376,921,286,038,896,704,425,008,873,105,865,098,957,622,237,
381,569,966,926,238,744,296,677,812,183,915,761,081,833,689,312,277,219,325,
932,728,643,687,807,739,226,856,852,792,573,558,757,351,565,239,545,160,607,
421,734,884,060,833,274,035,023,842,619,792,737,705,697,653,165,923,953,445,
348,649,479,528,415,388,698,184,006,493,966,231,125,411,276,818,212,746,167,
882,826,519,445,352,484,756,116,476,618,275,354,201,665,685,409,558,615,546,
570,317,387,717,849,184,683,721,603,445,072,677,875,037,936,524,907,099,540,
019,974,996,709,243,445,069,075,244,160,304,065,945,772,250,403,531,585,367,
736,396,981,072,348,368,143,044,061,888,199,997,029,074,005,812,266,154,243,
253,165,238,439,685,455,636,733,555,709,114,259,374,280,117,768,964,823,933,
538,497,581,707,456,153,492,706,518,553,177,077,483,247,521,889,876,502,700,
259,991,876,717,255,633,924,422,264,938,184,954,041,352,329,028,347,601,922,
564,683,869,601,498,386,107,337,785,380,574,074,074,068,028,030,438,982,290,
849,409,347,784,951,392,545,194,747,164,245,359,419,169,790,702,539,212,019,
323,657,866,287,935,752,528,848,831,754,038,873,647,077,007,488,400,567,675,
425,148,915,025,458,829,359,937,002,042,356,871,138,584,585,931,239,803,532,
854,421,794,794,724,561,652,048,488,730,334,301,589,695,611,466,944,728,874,
694,666,910,124,934,366,381,521,155,316,657,099,257,942,369,255,433,552,404,
360,272,478,672,593,566,196,518,160,096,668,539,396,567,061,599,610,197,668,
879,912,766,004,616,323,452,669,716,996,636,359,712,492,238,266,278,922,651,
618,909,632,453,927,126,190,869,628,527,987,780,227,444,479,775,055,825,292,
199,297,909,797,965,577,705,033,862,271,058,562,089,031,761,442,230,028,689,
169,756,067,749,984,109,000,803,444,933,610,709,070,998,112,290,019,052,867,
490,451,493,297,598,655,842,360,530,387,549,758,512,499,482,333,388,472,275,
051,180,143,870,725,801,947,442,689,725,727,459,810,695,574,966,752,368,645,
422,575,018,816,779,552,768,625,404,862,229,308,289,831,221,968,794,381,136,
953,307,254,435,611,036,390,307,543,283,397,268,130,645,536,677,488,455,521,
553,802,880,016,449,092,641,183,710,530,158,425,659,723,028,023,370,452,451,
914,398,642,078,883,174,424,730,622,083,378,211,975,907,988,436,634,419,761,
045,124,151,330,065,790,812,536,925,812,780,593,605,430,698,573,980,054,798,
626,968,350,896,188,325,318,353,149,321,146,936,351,473,866,633,965,317,727,
555,079,952,247,058,827,228,257,363,240,072,851,608,238,824,556,334,628,830,
981,390,214,675,206,855,182,561,678,814,107,775,549,603,955,015,212,270,574,
591,104,441,469,027,324,327,195,410,866,857,447,567,478,753,946,568,351,676,
001,503,317,338,281,140,942,069,204,046,200,415,003,331,702,091,158,711,906,
960,460,493,036,355,492,956,834,414,287,611,744,222,502,110,401,554,405,337,
013,176,739,839,628,362,121,042,512,978,793,258,844,525,428,175,566,831,204,
820,888,774,025,964,128,330,315,415,305,280,173,211,667,314,862,825,243,737,
803,373,158,386,389,874,766,905,528,194,222,587,467,539,019,198,141,925,914,
819,214,014,762,734,682,050,738,706,655,428,997,248,292,881,368,943,732,294,
897,964,813,851,774,068,281,113,564,201,168,227,729,718,827,967,639,462,797,
195,487,380,638,953,788,848,100,607,962,073,783,234,137,050,472,808,773,648,
786,517,863,854,804,146,169,509,031,972,653,330,070,792,364,970,651,581,474,
731,034,810,271,388,964,120,411,037,372,007,357,760,775,734,782,368,211,565,
948,011,745,886,841,989,995,103,361,614,081,589,862,934,291,054,634,923,551,
988,645,527,442,655,046,861,000,012,387,909,401,078,829,013,639,486,142,835,
481,131,228,913,702,816,836,282,987,489,980,808,078,389,284,869,114,168,308,
463,080,668,516,013,565,819,380,431,521,233,329,444,665,401,932,681,485,032,
281,444,317,029,556,240,004,962,016,095,814,598,983,615,761,421,147,672,429,
011,818,276,148,149,466,017,509,784,521,484,931,619,600,067,839,271,163,367,
396,747,617,222,285,980,762,088,855,023,618,953,238,110,445,955,980,345,124,
913,080,466,040,331,482,353,736,799,585,696,252,349,868,214,974,135,632,858,
615,124,792,816,667,076,605,623,560,530,956,624,132,156,115,913,045,968,263,
750,585,310,940,827,095,374,479,190,966,867,769,733,945,248,753,658,027,351,
837,408,553,974,719,761,729,929,509,440,202,325,019,450,695,963,978,911,728,
537,290,892,424,612,487,304,351,848,935,737,769,191,981,033,470,720,529,012,
084,342,976,040,537,442,333,616,578,343,986,280,342,672,827,092,545,125,642,
106,748,446,191,337,284,552,246,898,539,850,121,487,617,703,216,441,181,793,
594,632,510,394,007,651,616,556,522,980,429,668,349,408,923,516,523,902,762,
785,633,886,862,150,636,877,841,523,500,491,898,152,473,069,534,847,011,696,
062,973,862,492,850,332,802,548,517,669,763,670,335,543,160,394,992,616,875,
045,304,305,327,719,897,410,803,510,184,829,177,757,944,701,981,702,572,106,
316,212,061,325,733,210,500,377,116,505,331,591,713,020,634,861,904,208,561,
134,398,812,687,119,589,511,659,605,424,090,822,124,212,969,165,515,521,729,
896,952,458,321,647,094,218,063,609,478,910,366,674,851,572,735,125,309,926,
092,422,033,437,296,011,434,950,045,641,892,318,276,746,651,877,513,837,337,
515,670,191,604,925,964,410,971,289,640,418,667,110,217,021,713,551,651,738,
186,974,385,331,963,761,976,944,095,293,007,555,806,828,275,012,359,059,170,
577,935,131,809,357,632,482,053,480,515,060,334,296,310,325,185,288,181,066,
125,208,133,410,582,976,039,304,576,831,134,837,022,244,994,318,209,632,699,
422,563,719,153,347,168,670,718,724,305,329,324,081,798,628,067,891,628,662,
875,541,708,863,973,147,991,014,592,053,477,078,128,451,418,849,586,050,251,
751,551,963,557,813,274,124,967,308,807,890,008,534,718,802,580,762,423,669,
724,940,456,813,709,192,873,215,868,576,296,885,383,453,202,133,701,435,325,
190,903,116,337,981,343,616,725,316,813,191,805,519,347,625,415,555,678,982,
591,901,167,146,245,142,164,295,194,878,693,570,288,216,506,676,486,171,933,
754,187,494,634,089,548,917,767,941,022,266,894,175,631,811,303,999,511,944,
487,140,405,318,792,308,398,567,756,709,004,245,256,872,559,918,521,638,365,
248,105,294,960,002,001,250,718,961,550,270,140,952,391,541,236,443,913,730,
588,072,084,541,030,975,168,123,925,298,929,822,780,344,786,012,588,384,283,
002,013,285,260,322,039,910,736,325,251,126,285,187,728,901,289,321,931,931,
254,918,775,037,239,726,533,746,130,113,551,184,794,844,027,411,928,247,747,
812,165,838,262,969,703,756,103,629,141,464,154,383,170,705,381,840,624,799,
937,631,038,641,702,268,345,546,512,268,533,214,649,176,944,378,117,069,469,
140,413,253,127,051,354,241,794,377,472,591,893,021,918,666,893,313,891,901,
032,149,136,108,928,227,145,564,313,242,539,720,907,889,899,296,357,757,879,
003,926,457,692,513,712,208,445,804,865,132,589,783,094,470,932,941,991,329,
596,051,509,804,048,008,651,605,150,609,830,245,337,534,891,763,701,622,904,
957,549,063,722,217,445,180,319,206,379,121,796,232,217,624,701,236,244,380,
833,739,297,425,429,606,398,857,169,042,530,064,621,466,564,474,625,100,611,
518,168,971,031,432,637,218,689,615,488,891,460,463,300,919,117,937,571,699,
680,344,874,107,849,022,619,093,006,701,736,832,908,334,420,863,452,763,611,
699,909,893,774,785,292,895,349,443,325,712,790,009,949,061,221,255,393,586,
986,856,851,091,380,862,712,254,302,970,264,631,854,948,474,198,177,835,202,
726,891,809,366,222,722,669,440,921,274,560,669,376,458,406,188,841,634,205,
477,907,160,093,280,634,667,900,946,104,242,222,421,861,885,600,215,079,479,
586,934,978,786,369,594,410,309,385,450,341,167,434,715,483,322,562,831,352,
632,023,026,836,168,872,211,164,957,082,999,463,546,580,419,933,204,241,960,
758,416,105,428,796,948,728,382,328,436,799,283,870,842,608,109,698,658,064,
136,711,917,408,941,467,396,168,349,309,471,267,510,935,506,410,158,123,483,
809,896,010,653,413,237,629,422,171,649,320,189,415,794,766,472,367,160,097,
454,703,878,932,798,082,028,628,602,517,859,006,521,500,086,368,454,862,836,
765,993,414,648,657,380,743,021,432,896,747,615,631,249,458,418,776,406,617,
681,378,291,900,876,229,251,039,839,643,256,117,771,730,168,288,078,364,912,
407,968,896,286,844,720,236,173,959,331,283,774,843,086,089,840,602,280,964,
408,145,003,782,212,795,638,135,872,678,210,617,548,768,242,650,334,591,200,
875,552,411,170,249,862,625,133,617,278,074,443,457,740,392,265,989,576,936,
801,006,632,323,167,220,529,047,601,679,387,189,061,215,381,032,553,718,336,
510,738,318,081,888,902,595,277,643,527,461,647,822,446,644,450,609,434,533,
166,619,912,726,108,633,103,307,376,327,195,579,349,737,881,600,165,522,896,
096,834,292,427,608,173,682,321,704,987,596,026,678,744,405,637,134,635,753,
229,400,221,736,833,481,317,401,785,580,180,825,415,896,535,262,795,335,663,
967,820,154,732,449,297,554,809,582,251,178,855,863,798,088,113,275,478,999,
293,052,229,481,977,786,361,686,491,232,585,341,963,847,449,868,181,737,069,
451,660,818,101,829,152,421,305,145,190,026,787,970,030,357,955,639,089,830,
797,681,839,234,541,003,276,069,991,279,986,494,004,649,031,171,107,448,127,
633,121,745,240,014,930,000,300,732,882,187,482,242,087,798,764,713,494,010,
424,659,830,398,442,989,473,143,134,212,535,429,042,812,542,656,090,591,071,
624,362,659,983,654,260,090,358,195,122,969,825,464,021,774,822,063,132,564,
239,328,878,382,146,993,307,419,805,337,331,357,839,051,304,927,213,655,342,
832,566,608,324,681,318,928,977,359,554,989,751,385,527,584,609,407,254,338,
833,543,061,573,758,598,778,227,314,086,797,281,114,018,818,913,477,032,703,
720,407,216,798,868,268,722,295,587,636,904,816,588,591,842,976,933,523,259,
002,234,739,802,536,787,488,074,892,638,647,919,132,259,457,638,300,373,800,
044,333,838,319,321,561,351,699,002,705,166,167,872,623,708,526,361,356,593,
765,302,652,862,520,694,522,917,420,851,390,900,731,314,169,254,202,313,941,
044,147,012,087,392,696,805,143,308,229,685,428,627,830,960,746,474,811,667,
882,272,743,164,274,009,682,298,145,506,883,842,909,502,001,478,010,892,773,
480,126,531,962,236,382,153,917,690,531,920,121,760,416,058,711,858,380,467,
401,034,347,896,942,923,004,837,484,753,722,640,411,684,851,088,608,204,316,
119,294,006,159,868,327,196,042,258,874,671,595,734,966,154,627,758,915,279,
094,811,038,344,192,862,176,539,070,285,208,829,002,626,125,335,556,749,501,
308,997,724,111,862,213,381,261,227,525,333,580,456,098,344,558,933,380,845,
923,513,521,131,852,842,159,998,909,238,244,016,940,766,646,402,039,013,702,
103,750,596,380,623,868,840,659,983,691,087,006,121,141,299,595,721,268,654,
563,628,066,132,194,631,477,808,514,065,766,217,825,699,570,127,821,979,738,
005,120,670,606,161,252,973,943,124,953,900,636,701,499,925,757,295,550,536,
769,373,027,644,597,694,674,325,207,417,273,325,411,839,885,156,875,303,898,
158,817,875,097,794,778,941,447,064,214,217,827,430,235,494,505,793,291,550,
574,247,360,694,237,455,260,989,002,281,698,134,576,651,042,701,196,154,781,
205,892,941,897,601,439,791,910,563,985,332,911,388,656,944,392,705,475,455,
856,218,156,615,297,435,171,471,092,972,682,844,703,998,245,850,921,022,298,
431,886,381,409,617,722,180,916,929,003,536,533,840,679,594,113,462,001,510,
715,373,681,040,254,953,311,178,403,198,038,037,479,135,318,594,132,911,304,
697,443,201,138,761,821,189,693,950,236,933,467,848,529,206,615,375,965,352,
467,480,595,943,149,973,683,908,357,367,234,496,222,815,369,659,645,871,092,
745,897,464,865,337,138,124,464,144,592,730,622,812,771,060,138,779,479,107,
986,805,930,944,267,193,124,267,507,082,519,513,061,960,161,754,829,552,918,
702,453,114,835,027,433,191,998,435,831,881,406,199,257,574,546,761,146,017,
978,736,980,668,559,511,221,078,515,168,319,313,670,287,865,814,235,822,482,
296,505,861,865,662,327,430,351,083,403,108,817,874,302,640,274,308,003,657,
451,137,298,384,643,662,355,408,246,913,359,904,938,336,481,604,274,379,530,
847,842,729,580,688,858,039,115,465,493,744,651,654,091,483,651,008,777,702,
164,622,531,945,148,673,808,754,750,556,659,941,657,391,592,160,518,935,804,
569,884,326,015,114,786,046,549,217,258,885,191,539,372,479,832,961,407,311,
426,113,092,019,228,560,824,416,775,178,506,808,131,061,433,945,890,291,323,
886,730,586,725,331,691,569,541,007,973,494,056,630,651,652,325,876,662,808,
945,989,997,167,682,722,852,013,493,586,575,102,122,466,378,128,263,355,288,
212,081,600,814,027,673,285,599,647,524,041,689,295,136,099,992,143,499,330,
761,523,277,690,903,747,654,550,426,263,763,094,035,182,145,442,256,241,481,
516,358,782,517,802,193,485,127,912,302,559,167,558,201,465,732,417,408,023,
089,820,438,564,033,826,235,261,344,695,613,396,550,597,654,861,584,362,225,
535,439,075,273,332,494,570,321,069,657,543,455,913,285,504,599,254,504,644,
293,553,143,407,467,979,580,086,274,835,105,966,366,007,538,412,645,308,778,
100,661,223,015,913,284,550,753,448,920,165,200,108,990,597,287,384,102,748,
168,491,827,053,769,810,783,957,114,069,205,997,068,793,630,698,231,964,477,
336,615,297,963,079,915,534,750,104,073,638,139,546,829,556,779,544,652,002,
747,041,985,001,316,916,260,240,841,842,708,002,599,662,930,850,299,844,445,
252,877,330,984,583,007,831,805,617,144,828,721,963,275,702,216,215,367,790,
768,362,160,157,595,885,132,747,712,669,457,673,461,963,929,452,982,268,818,
843,629,384,941,711,187,591,797,744,687,368,203,313,757,952,370,076,495,264,
804,007,047,690,242,766,008,632,029,625,161,689,948,209,610,281,966,222,854,
874,321,499,962,875,326,217,484,936,464,040,211,679,040,354,051,647,771,639,
046,631,174,895,699,733,971,123,756,444,504,304,178,910,707,214,271,271,710,
800,607,701,222,141,595,418,125,562,400,242,115,190,696,153,653,904,719,237,
965,956,300,216,326,893,015,443,065,998,750,798,792,542,767,268,819,526,120,
102,750,192,024,530,767,343,310,429,496,066,650,189,167,652,882,309,698,369,
900,622,212,650,238,688,592,784,169,680,994,702,786,742,482,218,367,546,153,
941,193,630,591,574,820,805,223,390,091,619,260,990,576,761,374,687,741,443,
573,433,698,073,836,925,180,064,057,793,649,900,154,809,251,462,959,420,522,
095,202,188,313,923,947,889,468,721,767,902,825,485,344,140,471,074,678,906,
987,046,270,151,544,391,401,825,202,423,181,047,926,644,579,097,533,635,604,
559,762,966,866,515,302,820,283,143,493,197,767,139,317,520,056,590,788,095,
424,749,967,404,678,046,971,414,827,958,655,865,443,492,320,667,819,723,720,
039,244,926,205,126,820,618,680,946,685,604,059,083,475,265,292,137,221,091,
441,915,313,043,317,884,910,198,544,098,523,676,849,187,831,884,719,931,782,
865,514,262,895,852,519,849,284,715,790,607,354,139,743,348,024,705,250,400,
737,376,057,530,367,045,036,070,513,085,131,415,941,295,182,029,444,527,231,
754,776,534,192,112,855,567,755,679,021,286,949,870,907,216,008,332,552,109,
594,194,930,963,324,971,334,346,142,625,924,572,199,583,297,253,583,836,485,
600,982,356,028,356,276,658,362,184,257,253,210,539,162,408,375,223,914,299,
566,584,588,783,622,665,130,495,933,157,513,348,490,207,204,878,867,421,035,
675,619,202,297,660,383,136,517,935,865,266,343,416,699,723,623,753,511,788,
532,829,731,335,693,153,976,591,199,878,659,013,071,187,483,894,732,822,764,
805,638,843,857,388,008,473,317,092,590,967,648,417,726,393,976,537,936,158,
511,726,635,203,492,570,099,701,513,782,751,043,134,736,067,524,908,425,516,
423,539,099,988,742,949,523,722,880,630,085,596,597,153,757,850,130,436,352,
061,839,220,648,936,850,252,108,126,212,964,283,208,349,033,875,037,281,211,
985,802,000,720,148,166,698,805,142,394,488,379,190,540,827,065,614,147,194,
892,151,576,495,985,782,549,196,371,845,821,053,454,249,183,425,236,322,613,
445,562,242,911,865,494,878,938,643,335,768,481,500,046,308,114,257,016,828,
930,658,435,471,947,004,258,624,951,492,524,254,776,193,249,707,297,654,479,
069,567,014,810,862,200,213,358,253,675,564,209,688,344,908,227,199,416,883,
549,850,787,170,139,586,857,622,114,745,562,256,402,411,330,063,290,999,197,
865,549,437,565,514,693,615,533,238,287,844,172,942,606,003,175,312,985,589,
373,942,061,913,011,161,539,051,448,254,753,812,327,927,736,036,872,650,681,
618,843,144,708,007,746,782,825,510,844,523,846,644,303,854,321,274,003,449,
431,122,268,939,520,427,488,427,320,613,150,015,444,274,447,132,893,725,743,
258,375,583,858,447,192,955,429,989,174,226,885,970,996,140,571,112,785,699,
647,283,725,232,058,433,949,489,391,820,892,869,630,847,490,826,648,220,410,
725,389,058,463,030,785,625,893,692,928,274,986,431,350,403,051,215,175,743,
993,205,324,906,074,444,857,689,029,046,781,595,950,005,841,972,568,185,549,
338,531,291,868,105,331,079,268,038,008,023,933,829,673,205,800,614,848,305,
762,412,216,585,118,066,341,254,917,253,237,688,967,792,657,243,030,412,988,
187,572,873,277,100,687,085,026,082,918,165,688,536,609,665,833,506,616,661,
302,663,528,043,593,480,790,807,056,285,444,438,437,553,543,019,542,182,380,
179,273,463,890,700,570,897,820,123,074,610,479,640,341,606,876,808,285,928,
893,684,988,129,545,306,668,531,466,591,500,000,887,922,003,345,605,496,196,
229,213,624,517,160,437,074,515,138,220,459,320,539,763,535,373,762,272,020,
287,157,318,803,449,056,008,754,846,033,951,176,746,911,548,996,628,603,606,
012,897,450,377,100,744,643,887,021,632,060,437,268,695,072,753,470,391,028,
258,415,299,375,945,037,084,044,900,604,069,038,162,672,548,885,548,194,039,
446,197,762,896,251,409,741,186,226,750,134,547,612,796,645,143,856,963,086,
051,173,599,604,874,126,915,887,032,621,374,506,382,054,600,219,285,859,135,
725,711,759,910,606,293,606,008,982,422,220,873,895,336,091,366,327,242,637,
962,182,316,101,381,044,503,576,677,204,700,567,699,951,848,151,864,741,892,
018,220,881,194,746,176,002,170,764,462,398,196,965,290,346,836,195,368,102,
444,261,992,534,177,479,915,830,951,549,059,715,860,923,397,841,715,106,919,
828,949,057,795,807,904,721,537,945,280,828,902,237,354,735,181,645,466,118,
903,731,947,163,617,111,954,484,147,891,348,093,835,559,854,452,373,267,787,
163,986,212,699,935,725,299,747,880,143,390,759,466,413,520,527,564,286,676,
473,234,861,752,358,321,193,198,998,388,668,700,108,074,026,954,604,967,759,
820,337,984,009,370,223,610,754,358,967,448,169,887,884,519,286,331,468,304,
045,696,786,754,778,775,432,121,227,454,633,515,000,978,289,375,555,751,333,
679,159,548,287,266,429,167,808,728,067,483,999,902,230,910,240,744,562,262,
911,915,032,157,283,937,557,363,800,584,081,794,237,265,427,536,274,224,918,
267,783,686,334,188,923,243,145,368,165,581,340,820,718,882,013,336,828,879,
080,522,946,019,714,056,344,488,285,084,794,944,531,512,055,471,888,564,893,
178,132,445,161,780,184,073,496,484,920,250,635,125,363,091,649,677,049,525,
687,470,957,177,684,297,887,443,952,129,269,351,013,863,879,416,981,816,018,
082,944,180,840,298,453,942,713,320,771,088,050,231,720,333,749,218,349,415,
951,422,104,031,921,194,763,570,988,804,467,274,221,698,701,050,907,928,168,
264,268,218,599,910,679,429,147,847,369,804,888,368,461,250,292,795,604,445,
325,390,788,245,488,686,817,493,879,794,623,185,194,943,122,464,353,742,609,
004,495,382,423,591,286,782,388,821,522,360,029,568,045,144,920,889,077,936,
443,904,934,166,308,111,117,701,464,072,662,405,874,788,331,586,777,392,981,
844,275,169,180,126,003,315,167,200,331,089,055,966,339,744,352,325,250,937,
029,960,849,582,723,175,860,565,871,448,033,379,154,785,865,939,086,933,310,
546,805,485,787,007,634,400,298,652,372,822,650,462,778,034,576,718,293,051,
278,865,641,279,394,546,199,744,542,039,110,039,984,293,689,098,209,656,712,
773,008,377,408,725,941,509,084,316,418,672,940,996,857,944,723,599,503,402,
847,851,129,348,770,046,745,446,995,322,780,865,450,683,482,372,492,449,469,
002,711,492,538,061,054,126,102,457,657,161,744,417,369,636,401,865,884,157,
147,846,690,753,387,807,328,216,351,034,519,187,983,715,844,001,980,468,948,
304,194,910,234,544,654,834,823,041,798,095,469,916,538,188,685,650,331,228,
219,694,246,731,716,623,987,513,078,162,270,260,672,782,339,062,889,531,199,
686,503,765,169,469,432,328,497,449,462,028,675,107,270,313,149,985,459,917,
066,627,662,735,915,747,564,536,814,439,990,748,603,072,445,556,058,436,662,
134,802,173,359,092,176,091,372,775,237,544,613,180,616,560,920,761,509,793,
650,602,082,907,629,670,596,816,801,484,060,189,480,764,284,844,635,463,847,
167,914,792,583,073,637,587,681,724,633,397,295,497,087,926,034,987,049,784,
917,664,126,983,271,072,545,446,362,433,831,411,598,847,617,377,923,144,391,
509,739,374,649,527,514,590,221,100,424,890,057,258,119,553,724,341,161,653,
820,431,836,368,609,142,834,012,327,588,635,187,943,019,525,192,309,624,065,
424,591,174,194,248,893,355,415,878,828,434,320,764,896,074,660,429,075,517,
917,760,930,462,609,385,193,705,471,442,912,806,438,261,861,960,201,699,605,
310,640,601,683,365,924,460,064,909,244,326,143,590,685,376,706,591,088,296,
134,089,513,249,122,630,664,425,946,942,203,967,457,468,839,631,332,412,648,
027,783,357,942,334,216,803,071,780,290,714,761,233,077,693,367,438,572,572,
790,053,332,898,598,736,742,424,690,600,593,201,197,795,014,936,663,615,550,
675,809,847,065,729,491,762,541,557,787,567,820,034,730,242,869,777,448,349,
445,052,081,945,527,174,371,444,633,292,029,427,589,135,804,353,192,460,236,
066,738,515,034,644,813,300,251,835,079,921,076,198,581,721,957,326,599,848,
875,969,313,821,599,860,397,214,570,822,439,561,773,095,147,056,255,342,968,
387,112,336,524,492,960,746,461,255,761,771,278,518,402,570,003,205,021,993,
161,597,411,706,184,103,741,936,034,445,329,814,562,658,509,506,170,365,909,
227,164,023,722,336,953,476,172,774,081,846,086,577,045,844,735,113,787,651,
316,932,800,633,715,573,425,011,687,395,846,356,613,508,019,444,457,417,804,
969,084,435,651,089,140,018,544,327,794,193,822,448,254,036,328,315,140,159,
237,758,255,796,809,561,058,265,379,490,109,737,598,333,183,541,478,024,311,
081,586,466,926,255,662,644,905,796,433,263,821,278,486,003,171,823,489,334,
510,657,032,283,563,799,615,867,689,634,708,602,958,236,056,824,355,380,416,
673,090,315,617,970,348,651,131,261,509,807,691,011,969,378,560,399,363,172,
072,088,871,883,727,172,620,595,918,483,510,272,055,086,712,119,270,252,130,
988,949,482,613,474,558,608,486,199,308,996,886,886,380,949,761,578,096,593,
651,228,435,230,100,295,923,242,282,612,953,739,867,511,753,479,182,474,875,
054,953,288,233,305,469,623,693,265,441,155,273,359,729,614,451,807,689,723,
886,955,649,805,826,546,229,532,642,258,980,129,847,264,495,968,265,634,306,
709,179,271,526,831,791,809,947,679,839,208,522,065,580,260,493,278,219,512,
539,943,211,050,919,049,489,756,785,684,526,872,163,715,485,458,148,779,622,
834,813,902,446,402,770,266,986,192,751,649,229,295,522,430,983,390,126,587,
895,597,958,900,236,396,511,698,224,556,782,928,176,200,620,102,296,129,189,
288,598,479,697,112,657,346,000,008,224,887,271,167,523,755,037,113,967,116,
769,077,313,888,592,846,782,600,080,248,659,840,290,179,007,316,373,820,406,
980,689,358,384,739,813,679,382,161,871,216,115,507,083,180,065,029,248,604,
967,087,725,659,670,806,281,142,094,551,131,901,062,583,958,765,669,468,132,
060,397,064,961,690,539,373,021,110,433,357,345,341,286,512,110,500,366,790,
557,366,364,966,511,547,306,963,114,160,088,060,440,282,639,550,681,011,499,
779,122,362,442,172,158,073,801,715,166,835,277,276,843,317,560,478,280,035,
871,751,512,011,427,092,359,820,521,314,620,555,023,787,766,181,585,270,275,
447,081,593,580,534,116,457,371,690,175,961,855,563,396,864,841,366,968,796,
447,347,199,462,198,775,639,599,310,836,611,364,432,681,047,319,887,307,772,
762,569,183,954,283,141,218,452,127,461,375,537,984,568,987,572,664,391,825,
408,822,514,472,839,343,524,248,052,356,052,249,647,542,180,340,687,804,515,
635,008,933,114,207,303,297,238,957,209,833,110,712,403,319,624,043,946,864,
830,112,194,613,280,658,402,343,361,354,780,378,610,757,858,192,726,857,907,
981,814,598,077,428,187,973,026,482,572,589,771,102,875,844,053,803,434,471,
471,737,543,613,735,389,007,749,230,904,866,605,465,243,175,999,338,916,574,
404,323,969,121,316,169,535,283,563,598,519,318,116,946,952,570,280,897,036,
297,207,543,208,655,314,276,091,428,122,546,392,246,799,905,587,272,732,661,
680,641,271,577,169,665,552,200,667,940,004,300,710,937,501,201,459,586,696,
062,958,749,042,163,096,951,446,171,347,295,477,731,482,303,362,654,939,792,
285,141,377,208,950,984,475,191,570,286,794,911,375,390,842,017,848,244,179,
743,820,053,260,022,995,618,702,417,065,611,872,676,243,984,067,799,064,165,
558,101,954,090,877,042,121,816,671,888,147,942,601,185,703,430,637,910,717,
298,137,507,697,488,270,370,964,464,900,444,643,758,809,466,107,165,829,623,
628,435,348,093,897,331,647,880,662,291,824,404,486,535,644,834,326,067,100,
841,682,978,894,545,259,692,067,660,698,225,741,513,831,226,131,232,658,880,
666,261,024,948,241,473,231,152,118,132,326,165,313,245,309,407,288,624,057,
800,307,908,895,758,672,015,484,733,047,210,135,942,089,220,854,559,790,420,
086,617,831,526,046,480,143,983,005,308,866,921,933,960,002,390,531,626,160,
776,956,273,712,586,767,213,699,134,137,808,053,795,160,775,455,832,687,564,
443,329,926,201,333,927,112,773,583,175,242,179,130,338,787,643,336,488,601,
434,060,242,015,126,067,322,937,706,159,001,225,307,841,298,788,001,846,493,
549,277,581,161,454,780,116,318,784,693,649,785,625,069,994,961,815,552,568,
250,797,946,881,214,853,730,214,450,442,468,799,937,958,814,615,644,882,855,
673,024,145,598,356,339,952,635,845,840,318,751,573,745,452,645,388,590,840,
661,289,600,571,508,800,093,590,597,072,982,954,977,484,071,246,686,371,373,
104,433,578,356,928,323,041,934,916,400,012,169,086,134,820,390,258,108,383,
305,992,380,296,145,775,871,314,969,090,305,892,112,282,068,042,489,935,738,
649,852,158,188,552,600,651,881,099,401,764,698,922,105,782,478,413,830,245,
260,539,181,244,595,076,059,698,254,932,109,506,770,891,954,908,124,073,007,
477,197,591,382,687,712,285,679,182,355,261,668,617,640,109,842,562,852,721,
348,478,701,017,240,619,680,844,815,723,667,956,155,298,794,677,259,054,018,
507,667,810,512,585,277,274,215,211,016,370,657,382,932,111,075,225,088,353,
839,899,471,213,645,946,905,430,431,880,527,372,173,246,155,271,250,399,131,
240,132,580,812,648,005,347,834,889,585,642,773,370,472,165,872,904,766,005,
523,362,898,767,057,972,729,622,295,721,255,712,844,591,717,081,139,450,461,
050,744,969,752,818,154,656,454,522,294,636,088,980,570,117,953,187,975,999,
472,711,401,141,188,975,643,257,800,976,086,772,550,113,401,694,911,578,004,
891,617,888,201,029,923,195,330,375,452,825,548,083,494,729,257,825,063,483,
033,491,919,950,679,296,610,878,892,318,393,848,477,132,023,409,759,023,733,
592,355,674,878,104,158,269,261,284,066,268,970,773,813,308,400,244,794,255,
132,870,232,141,105,014,150,808,167,231,162,697,671,850,547,992,001,041,414,
182,397,122,847,892,232,289,344,934,429,963,321,960,417,132,243,795,160,840,
553,643,315,554,254,220,947,743,659,614,334,673,417,501,378,791,872,677,017,
858,445,133,184,678,862,030,960,307,164,739,699,852,999,560,443,955,349,896,
748,485,986,975,613,878,885,078,650,759,768,018,635,964,879,724,549,016,489,
361,150,594,027,078,291,580,981,944,989,307,163,555,234,358,326,570,994,374,
084,925,455,078,503,001,737,464,952,300,143,951,992,220,245,564,416,889,242,
506,069,504,698,174,623,337,560,661,160,771,904,852,578,002,028,882,234,617,
152,313,056,902,359,127,161,635,953,355,860,788,357,182,587,319,086,473,718,
343,326,992,523,510,170,003,521,259,657,942,703,040,149,494,635,598,958,997,
631,955,373,912,320,550,555,839,699,406,164,846,424,451,968,153,482,458,804,
856,686,101,848,372,339,618,538,986,617,634,516,149,414,069,882,398,147,194,
065,004,603,172,655,497,568,023,086,492,259,611,189,570,531,339,042,744,285,
502,533,665,911,525,969,164,220,907,332,279,075,832,057,361,316,727,971,487,
658,853,996,277,892,185,011,254,532,538,543,057,467,626,084,076,268,072,231,
053,741,052,515,011,406,784,595,643,165,694,654,380,701,622,127,565,367,558,
884,105,350,728,212,207,151,646,066,674,892,286,507,546,539,597,216,998,350,
350,173,027,529,986,932,555,077,565,806,578,817,521,130,575,151,655,640,973,
053,081,260,195,386,649,687,143,216,515,831,473,252,637,802,225,872,373,641,
961,272,108,943,269,600,383,035,233,062,184,959,533,692,215,836,899,983,987,
909,082,655,219,020,598,957,656,766,864,303,319,237,151,844,441,898,207,152,
354,655,310,085,578,765,375,464,040,766,311,950,029,298,134,828,221,913,144,
363,304,130,962,978,556,774,565,520,846,768,667,072,713,280,895,517,621,801,
424,507,035,907,752,337,751,023,592,101,699,441,655,867,747,608,884,655,444,
328,342,017,231,811,932,103,602,672,416,656,918,537,522,507,262,863,697,574,
303,639,678,148,534,471,001,218,919,121,407,037,182,334,284,976,917,725,659,
755,071,640,631,564,893,495,387,556,120,342,180,371,199,298,361,458,838,869,
053,128,203,558,955,400,629,005,499,828,867,701,831,836,408,468,369,551,846,
618,721,181,648,128,990,837,174,290,730,560,224,234,019,820,663,955,850,116,
000,686,944,821,066,623,551,560,061,352,467,745,352,286,329,821,737,656,784,
265,507,984,238,992,824,395,153,022,084,826,041,584,846,590,969,255,076,456,
086,395,623,039,965,456,773,705,297,145,606,848,234,872,229,516,027,565,850,
183,441,151,787,991,063,764,541,799,680,190,792,327,237,953,333,634,480,908,
329,225,945,462,288,242,754,435,842,934,240,488,224,485,346,850,184,074,770,
075,699,765,273,921,477,174,582,605,160,306,913,311,910,590,402,870,120,506,
545,854,821,305,559,055,623,336,167,494,901,801,045,079,929,119,704,888,773,
446,609,306,329,927,547,176,914,829,260,909,913,655,037,236,223,773,306,038,
101,343,875,804,712,407,287,829,246,166,461,471,342,906,290,811,593,655,282,
371,181,603,979,595,527,007,672,348,291,631,169,052,122,149,884,673,148,796,
355,342,820,827,234,930,150,152,273,243,530,317,849,230,534,711,249,328,383,
278,872,581,630,644,611,251,842,087,560,300,768,012,855,863,855,095,032,674,
545,884,264,032,621,829,854,170,102,786,171,602,936,929,631,487,268,762,308,
972,623,123,100,154,887,593,514,384,492,466,937,297,598,332,691,966,662,493,
596,822,025,550,811,242,698,438,611,019,447,154,486,782,330,750,474,326,062,
335,584,915,709,899,962,003,330,406,153,125,762,669,798,232,502,031,998,134,
176,912,950,360,462,146,977,211,388,208,275,170,807,013,133,949,519,177,148,
731,506,017,436,404,423,858,442,706,356,681,833,624,882,561,433,187,167,609,
751,804,047,138,735,529,866,868,841,036,295,347,165,229,039,133,696,299,957,
336,611,550,502,485,138,397,876,166,588,393,322,827,056,168,417,999,967,937,
385,942,989,202,425,035,375,811,304,556,224,691,694,927,148,029,174,707,207,
511,902,846,497,169,006,698,669,495,161,829,020,368,326,894,007,305,756,455,
328,065,173,170,829,310,940,441,154,639,417,869,548,523,236,373,740,702,867,
748,663,004,849,492,813,899,690,975,489,679,026,391,674,166,930,315,093,356,
709,235,428,814,994,871,390,886,023,207,791,429,597,590,907,147,189,064,163,
398,561,779,646,637,104,921,073,760,732,208,165,667,472,236,404,228,799,268,
296,801,588,887,869,737,911,428,763,648,032,438,122,869,209,264,341,448,704,
247,857,742,867,504,547,986,357,330,789,151,601,299,747,097,039,971,201,379,
712,461,900,164,198,792,200,297,955,135,667,007,905,877,032,893,846,869,440,
384,579,909,075,216,203,511,541,443,999,495,794,598,185,203,054,143,567,991,
094,437,467,747,637,191,245,284,945,029,554,744,428,451,513,404,169,810,712,
896,461,454,982,609,114,250,534,595,617,125,453,181,942,913,127,873,959,812,
500,509,107,145,774,566,107,894,953,114,879,926,174,336,070,893,434,802,931,
789,821,570,978,216,860,362,338,010,968,396,617,576,899,136,000,203,750,879,
060,516,522,866,605,865,532,445,564,006,333,563,846,924,121,351,135,564,765,
412,250,143,687,631,717,408,417,300,167,198,074,150,195,749,827,702,738,392,
385,270,774,819,670,987,413,979,671,197,473,288,298,835,706,075,218,251,738,
383,075,303,770,241,709,731,560,583,683,825,805,464,435,149,519,476,730,299,
762,643,402,717,207,652,511,665,461,765,777,558,287,580,915,654,108,200,103,
291,484,263,590,341,198,282,069,959,139,940,870,889,971,768,648,311,506,714,
797,402,599,729,178,568,720,567,399,767,390,722,957,478,276,449,727,044,850,
224,368,486,201,729,009,347,378,428,056,493,646,187,258,309,316,808,109,483,
218,661,501,112,753,644,882,438,538,185,398,472,159,774,516,647,794,046,889,
634,729,945,495,234,693,386,868,685,577,452,177,872,181,007,380,533,219,764,
485,073,579,706,002,993,248,530,874,884,215,658,554,574,634,099,522,155,401,
888,632,783,062,154,126,412,659,647,601,427,853,841,141,315,717,065,891,951,
024,094,568,156,816,062,426,607,353,514,293,970,817,493,192,159,205,419,606,
770,699,631,820,204,602,507,925,810,826,805,754,515,900,522,161,338,635,325,
019,306,654,804,748,454,618,410,008,193,668,219,288,150,269,843,324,616,295,
204,292,635,033,145,220,622,663,913,804,915,247,898,516,716,328,755,520,377,
606,910,134,381,891,301,471,352,509,183,746,836,910,019,990,312,189,032,525,
184,541,086,080,612,496,612,915,677,187,991,845,756,232,484,375,212,024,243,
213,885,031,723,905,331,174,306,851,405,593,965,664,852,434,039,885,574,138,
725,883,266,714,033,017,307,081,979,149,350,045,075,529,250,805,139,052,662,
415,086,073,290,803,569,608,992,427,445,660,376,054,115,001,235,707,733,089,
987,345,721,100,131,104,476,756,674,586,360,808,062,418,631,516,049,396,551,
139,918,363,546,463,400,034,619,607,433,311,662,715,441,738,344,727,190,679,
441,572,644,831,213,900,218,592,516,516,616,018,262,685,101,839,911,539,790,
092,523,095,600,507,994,885,459,035,954,611,852,866,758,184,352,216,932,507,
238,166,166,788,167,483,976,016,310,510,239,587,534,859,535,613,644,836,363,
031,515,524,827,489,599,404,792,820,497,519,860,603,859,841,715,772,027,179,
338,021,530,455,133,795,956,905,790,679,961,167,727,221,637,189,415,934,420,
859,881,865,788,891,831,480,536,933,121,646,319,930,249,277,561,261,238,476,
351,147,343,126,826,006,050,194,060,045,440,225,607,202,681,910,547,030,317,
337,897,971,098,405,035,656,341,449,557,505,353,448,345,070,804,201,127,559,
262,930,537,050,299,035,985,285,933,662,759,309,170,197,404,059,182,884,051,
935,127,345,846,788,765,103,037,514,190,265,848,962,490,295,832,973,172,523,
375,066,913,862,323,217,638,224,233,318,822,820,903,957,174,080,896,553,970,
734,693,523,098,799,632,111,565,836,285,195,189,126,729,667,411,918,429,280,
411,522,829,276,913,995,681,920,203,121,701,440,083,021,824,233,184,992,283,
571,772,474,516,151,065,319,462,430,539,066,117,381,340,514,213,920,783,988,
913,833,275,281,003,774,776,193,722,687,196,830,584,508,206,001,769,940,049,
020,400,994,934,901,269,964,367,228,709,966,730,219,681,895,538,637,750,083,
215,939,320,925,345,292,441,422,762,382,066,043,033,042,742,878,749,937,514,
044,863,293,380,422,169,272,781,341,628,422,581,505,369,347,120,589,530,923,
851,167,847,482,472,999,557,534,456,445,894,313,682,091,404,450,743,006,240,
423,133,800,143,649,009,718,082,088,808,393,314,434,935,176,665,549,827,728,
837,410,777,032,713,657,627,171,661,336,042,642,763,636,596,888,960,116,669,
870,288,838,062,365,066,687,189,440,883,738,038,748,334,867,950,469,277,458,
724,751,905,549,450,878,408,127,546,760,381,225,558,864,214,776,331,480,196,
484,617,210,244,689,766,027,947,196,081,794,076,382,802,244,853,627,981,074,
486,393,750,679,832,004,389,601,055,270,059,673,033,331,831,176,570,842,056,
262,326,434,249,130,043,824,088,149,897,970,267,504,475,301,818,248,164,432,
735,976,897,593,559,615,252,117,511,705,003,511,432,062,570,888,346,309,145,
194,987,134,418,273,637,946,309,313,019,241,697,480,361,155,809,923,074,787,
980,805,461,229,406,077,162,815,759,465,046,451,688,177,107,699,814,762,757,
876,203,721,501,892,602,486,655,486,854,515,282,034,136,328,462,116,243,944,
285,986,083,448,408,336,485,804,853,367,595,540,254,367,074,385,195,381,944,
687,189,144,497,536,260,698,227,637,298,198,717,857,620,948,049,085,744,280,
206,170,634,417,236,585,666,031,812,647,250,424,380,801,523,212,898,519,918,
896,415,759,198,506,829,955,422,148,131,961,067,614,657,330,676,248,952,691,
452,468,281,177,883,042,631,043,757,224,053,540,511,145,550,978,784,158,894,
571,707,831,409,478,360,376,650,812,234,608,921,116,208,597,443,548,967,807,
117,495,066,370,748,216,960,216,806,167,593,527,248,585,842,673,278,199,149,
571,469,168,210,462,836,061,194,496,677,682,941,195,274,905,746,938,490,596,
716,676,281,228,972,582,222,735,580,976,525,963,555,880,397,560,992,010,662,
409,040,805,227,884,249,120,733,531,487,603,254,698,320,094,753,327,189,098,
699,275,575,188,262,380,009,338,167,360,199,947,302,302,403,543,341,909,285,
299,098,959,419,432,538,218,271,904,384,546,465,982,232,903,948,577,197,801,
685,200,507,201,155,307,729,487,780,681,747,144,851,699,193,813,659,612,384,
081,800,455,167,239,432,842,432,540,750,016,321,890,291,859,353,684,220,369,
013,410,258,511,372,730,084,474,720,402,811,622,268,852,681,714,074,346,047,
619,812,784,426,164,849,576,229,036,525,649,622,861,582,934,139,378,792,531,
468,242,531,253,703,196,325,442,078,139,570,918,149,110,411,521,175,687,566,
220,743,696,988,174,095,804,574,696,271,833,742,697,062,844,008,710,520,228,
478,448,192,244,854,119,171,611,767,282,375,834,468,006,860,562,521,374,959,
491,244,512,578,552,981,318,675,845,185,820,499,473,081,080,260,388,336,588,
603,713,201,939,652,714,827,580,391,628,831,901,394,616,735,576,755,195,061,
890,318,901,579,564,277,521,442,417,772,354,772,500,350,448,661,872,318,815,
138,394,828,789,422,046,514,663,353,299,485,576,579,048,626,278,729,854,556,
143,687,826,944,777,374,843,793,135,549,403,658,259,298,885,333,542,050,756,
368,216,882,974,598,811,464,787,334,157,946,387,065,731,872,986,566,664,115,
720,663,154,634,736,133,129,055,212,911,800,409,406,845,466,266,619,751,190,
533,501,379,330,677,772,863,436,052,838,454,949,256,428,836,835,559,526,620,
652,308,573,416,830,056,113,938,252,650,004,318,871,559,173,808,343,461,377,
870,571,392,877,083,804,324,856,306,778,050,098,669,489,036,892,568,879,765,
823,509,470,177,499,346,030,573,832,379,110,128,401,579,675,008,710,930,046,
622,090,172,825,474,829,358,308,381,000,534,743,033,753,101,169,233,296,387,
102,225,100,717,522,237,819,805,732,186,696,767,626,091,466,679,076,149,306,
341,844,175,968,523,392,258,626,259,306,665,625,307,589,533,037,069,479,865,
339,511,497,862,894,984,072,771,756,159,324,364,948,498,333,484,797,721,365,
893,567,755,252,050,403,080,802,036,251,914,341,456,799,892,620,066,853,915,
993,551,520,831,574,970,808,591,806,542,708,020,463,813,499,147,140,837,007,
886,092,922,927,632,336,639,829,984,368,204,665,223,825,427,789,546,847,416,
902,671,116,110,549,843,149,794,059,968,249,801,825,267,952,362,350,577,680,
758,132,904,739,089,445,361,489,928,827,013,940,045,183,828,008,327,792,286,
465,662,250,152,151,206,272,775,502,641,976,978,979,040,786,241,793,424,599,
209,515,959,527,172,773,726,771,036,207,227,821,702,330,005,146,732,334,923,
916,461,483,400,389,994,979,951,582,472,111,351,423,790,393,130,762,534,930,
506,923,636,032,892,359,699,943,316,063,180,175,168,801,041,013,010,651,606,
611,474,854,952,233,431,024,434,207,881,713,783,715,875,517,570,141,846,339,
058,477,021,365,818,969,089,939,224,067,442,509,171,375,925,341,618,240,980,
060,722,221,927,115,563,388,000,436,508,753,439,791,674,093,850,495,144,057,
900,133,949,476,536,162,129,785,699,416,215,660,651,329,061,219,485,668,382,
720,923,198,958,496,719,351,139,807,829,730,691,350,106,371,306,817,721,673,
129,618,336,658,287,248,917,522,688,689,401,072,131,110,551,283,774,892,851,
347,586,610,193,461,437,003,993,675,394,705,378,705,847,014,984,175,457,188,
564,575,345,584,694,555,562,899,867,294,854,217,999,454,898,537,602,302,056,
984,530,055,992,185,293,167,634,761,804,896,550,931,983,883,769,351,916,773,
491,126,767,282,488,621,647,267,731,625,103,192,040,928,625,082,036,161,997,
974,433,277,992,806,679,607,476,517,646,776,897,800,571,657,423,996,578,558,
617,218,809,187,644,321,404,866,911,391,694,056,444,013,377,596,809,223,749,
878,717,402,484,584,965,848,385,470,587,259,882,883,606,523,819,976,870,370,
125,920,047,095,877,786,015,406,259,222,615,589,072,913,262,007,505,650,558,
523,333,598,520,768,276,448,825,867,554,830,027,207,891,967,498,741,017,456,
843,778,947,838,286,241,041,024,830,122,455,233,956,391,693,487,837,816,471,
069,503,203,987,803,338,042,975,934,728,538,381,752,594,824,497,514,396,728,
224,283,927,660,756,379,224,214,845,570,335,217,926,351,395,183,268,954,532,
265,576,880,008,196,425,840,435,904,347,724,247,072,249,883,333,062,202,214,
000,906,946,088,943,298,150,443,951,158,601,257,189,118,586,667,979,826,254,
568,841,391,793,560,724,522,665,126,074,638,376,352,873,687,836,778,422,523,
998,021,376,406,464,966,567,151,930,579,130,388,240,323,179,056,691,508,527,
567,133,071,441,560,921,956,314,114,766,729,706,086,921,046,512,328,394,796,
248,978,103,617,362,849,137,041,386,140,306,405,208,293,796,981,915,364,146,
895,276,230,941,235,536,940,772,040,945,501,355,217,281,206,877,992,300,374,
580,976,274,774,807,828,153,756,243,519,254,991,316,858,282,296,550,404,373,
938,875,402,178,988,728,555,162,316,416,985,856,726,846,935,314,601,186,330,
833,081,251,092,305,787,109,110,124,549,990,018,362,447,668,510,540,335,767,
053,594,749,997,204,787,068,496,405,341,596,065,275,041,288,323,347,471,988,
541,001,876,756,944,275,907,278,207,049,656,959,840,013,226,446,616,336,853,
024,847,163,237,381,142,088,091,175,276,887,637,841,617,462,420,763,658,178,
743,606,095,912,243,304,998,093,730,894,133,868,127,365,668,362,560,255,496,
360,627,932,140,054,588,786,707,138,734,638,363,038,494,794,947,782,126,258,
969,165,254,741,178,589,422,263,035,507,276,566,141,961,505,607,012,040,534,
584,953,685,348,812,006,390,356,053,454,602,169,640,697,082,770,684,731,524,
897,345,724,639,536,410,821,471,676,923,570,197,886,868,207,240,147,494,670,
827,098,538,439,625,488,016,325,689,438,801,355,121,414,342,637,198,132,941,
606,400,653,528,319,182,112,073,663,524,006,343,536,332,197,718,266,066,297,
190,587,414,716,903,205,349,919,991,873,705,615,292,067,085,674,139,074,042,
608,629,785,798,265,782,605,843,961,045,247,458,369,797,767,077,774,375,648,
588,840,936,130,568,018,715,742,320,527,800,904,120,853,530,339,276,865,114,
706,266,413,788,377,803,694,140,098,957,459,363,438,983,451,222,214,533,053,
018,624,244,351,256,075,132,688,876,178,203,384,287,760,855,949,877,988,644,
677,004,420,655,588,681,194,791,145,946,681,553,786,697,727,676,030,485,262,
184,989,621,114,900,741,549,595,104,567,628,545,313,662,209,848,573,390,301,
387,076,908,483,185,707,740,476,132,556,378,484,232,443,920,197,249,089,004,
489,985,558,046,998,239,692,329,206,088,534,708,975,031,610,999,935,763,878,
969,210,551,896,930,441,863,581,685,767,399,848,259,511,128,715,506,700,906,
955,396,161,807,344,276,577,191,249,799,559,472,525,925,519,517,267,678,285,
593,406,971,816,148,142,833,006,188,511,010,515,729,407,271,999,714,521,781,
990,288,188,076,170,230,280,480,255,720,310,556,801,282,905,475,070,460,943,
190,273,165,227,123,085,798,649,434,184,976,811,314,187,476,303,815,983,885,
680,147,363,448,319,772,186,423,244,291,480,610,134,888,610,769,370,269,814,
008,822,709,820,146,960,216,177,723,756,441,341,679,000,850,304,325,351,239,
944,097,024,820,494,923,033,212,197,688,259,973,112,218,892,928,467,257,657,
895,836,426,190,769,700,781,796,202,822,580,041,157,353,067,648,812,186,293,
001,567,825,213,039,320,417,306,754,718,199,188,122,002,975,676,411,185,678,
828,954,245,430,191,678,567,062,063,008,589,888,130,621,666,332,402,312,592,
423,898,763,943,334,876,316,265,586,919,767,059,725,161,374,794,728,537,338,
108,186,894,791,141,371,252,736,440,537,763,771,674,587,728,436,262,606,337,
229,413,281,753,618,178,482,405,381,750,909,104,726,948,027,001,707,052,360,
174,119,966,171,235,934,707,127,914,426,590,363,151,907,832,114,492,934,561,
360,216,120,403,989,505,350,173,623,561,419,184,856,448,076,104,998,116,559,
604,783,018,127,653,334,453,898,202,872,931,186,566,480,954,147,226,111,719,
327,674,321,690,592,929,874,687,595,714,429,178,311,785,259,618,640,287,102,
482,466,353,001,828,241,177,164,472,790,546,249,640,586,317,475,875,758,850,
866,150,534,788,105,803,256,072,916,338,136,684,259,830,278,077,511,218,996,
410,988,356,590,572,799,362,173,788,959,496,900,555,446,973,297,409,081,357,
417,956,428,761,099,261,736,905,440,531,060,607,836,256,171,273,435,474,729,
544,858,964,965,588,240,526,705,705,215,350,584,443,906,408,940,112,194,852,
339,913,961,572,441,783,182,920,995,334,373,755,367,667,534,021,382,939,583,
967,894,635,251,569,098,115,566,456,372,155,733,466,639,101,370,023,200,206,
145,585,885,909,743,459,718,240,182,716,136,481,087,233,111,165,976,277,059,
017,208,727,665,224,520,059,697,792,007,534,670,977,571,636,258,348,137,835,
483,114,305,703,184,371,963,312,657,712,976,948,553,823,008,094,707,892,952,
978,133,759,405,832,269,156,230,417,928,275,688,501,072,664,486,232,787,397,
525,028,262,984,081,938,708,553,602,834,417,770,663,118,797,992,300,763,466,
842,539,369,507,383,040,461,875,778,545,207,360,022,100,331,584,529,479,458,
411,964,200,012,775,512,865,532,669,355,676,636,373,187,072,472,257,691,504,
377,260,324,067,164,039,962,436,542,658,936,139,923,539,801,555,628,852,042,
303,159,642,926,554,805,168,342,873,918,030,203,020,904,331,918,051,776,088,
249,935,004,818,437,985,760,713,778,648,885,905,532,007,169,596,239,246,004,
556,008,118,257,519,729,793,169,602,843,324,955,845,227,613,829,560,103,387,
790,653,262,104,702,455,990,888,794,497,355,228,051,691,643,657,752,640,416,
230,233,442,961,230,977,063,503,746,934,755,524,708,236,892,636,959,277,271,
945,027,271,702,192,317,484,275,503,681,161,074,074,147,723,433,183,070,728,
692,148,639,481,082,228,544,431,017,537,484,197,631,088,601,563,158,241,662,
219,436,475,220,385,232,996,537,117,187,472,498,002,663,567,017,423,642,984,
029,805,853,089,369,428,207,926,256,428,949,409,237,100,553,597,552,482,217,
524,823,819,158,091,870,765,364,217,798,580,402,852,664,504,284,959,345,870,
917,854,504,386,651,602,471,765,193,555,859,696,107,191,048,821,500,393,778,
528,483,475,908,394,090,279,609,231,492,487,052,221,406,441,851,423,001,461,
844,699,284,185,447,321,182,207,098,586,933,103,230,747,638,450,777,077,658,
655,767,727,092,049,834,347,062,547,921,731,733,891,726,307,240,450,965,035,
479,766,225,015,325,187,540,250,539,248,681,275,177,475,284,690,138,490,270,
945,660,287,990,169,099,218,493,249,961,588,132,665,510,343,510,078,408,545,
027,693,771,213,295,311,752,397,997,449,266,686,260,586,619,944,129,019,752,
366,917,998,183,827,776,583,748,205,983,775,418,484,537,772,245,618,123,862,
203,576,155,873,551,008,260,696,367,397,411,109,999,832,856,002,263,657,882,
152,285,700,992,764,802,683,710,360,309,595,599,910,508,772,307,038,514,734,
520,615,930,274,225,145,899,699,810,221,476,758,377,530,450,985,289,934,803,
323,785,392,592,793,030,644,439,855,040,892,390,871,909,584,275,806,966,616,
796,881,872,993,411,475,069,522,612,839,730,819,777,052,971,678,110,050,702,
326,526,270,408,651,378,089,217,969,290,918,587,186,121,956,044,841,752,116,
923,953,988,332,578,365,202,805,234,331,543,234,474,543,284,357,059,124,672,
432,384,553,382,786,456,123,483,109,155,705,683,275,786,091,998,207,228,304,
594,003,431,530,403,240,777,501,006,163,708,761,094,792,722,885,956,182,303,
762,442,458,928,794,611,540,844,782,424,044,668,140,041,584,035,695,637,508,
342,510,452,123,425,339,685,873,667,546,140,312,209,866,849,746,351,182,949,
177,840,842,378,972,002,577,759,913,380,231,043,415,692,008,956,151,846,314,
986,769,222,603,496,208,195,414,198,754,892,999,659,268,507,233,571,438,641,
906,511,689,510,033,808,571,730,820,011,176,300,451,355,191,705,816,820,550,
586,567,925,111,573,422,954,916,965,255,322,595,795,567,311,852,683,245,039,
002,058,241,969,044,148,474,994,389,620,133,634,899,038,713,168,813,463,306,
119,567,318,607,314,006,517,499,821,398,786,738,915,417,073,459,770,774,681,
936,980,730,264,359,641,899,234,589,300,644,739,986,132,911,882,169,937,783,
752,637,674,930,938,478,532,254,687,617,331,232,314,457,806,341,141,519,701,
494,786,835,886,763,686,733,764,265,207,707,668,892,274,062,402,754,764,306,
842,632,103,335,986,250,675,860,065,442,616,272,327,252,442,689,875,997,551,
353,781,437,545,086,662,774,291,073,232,424,086,163,931,010,760,334,682,067,
954,597,493,981,641,228,348,577,193,334,892,885,650,218,684,878,091,028,656,
773,329,653,049,428,706,505,856,534,727,311,590,901,777,674,492,349,439,453,
851,695,162,297,590,080,588,672,642,304,429,153,076,504,363,345,129,393,103,
549,731,269,311,369,108,324,940,841,848,115,381,882,340,750,250,518,305,931,
476,581,196,214,615,721,632,580,114,241,552,572,968,591,933,301,379,396,336,
579,608,282,245,572,031,467,032,914,944,990,972,202,068,928,017,147,463,303,
749,970,673,315,691,301,221,994,639,016,231,629,347,684,114,028,483,154,022,
548,757,121,047,092,169,519,609,702,908,578,553,036,341,895,083,678,836,260,
120,789,783,018,034,329,797,888,888,547,232,978,598,464,724,992,913,909,253,
652,970,006,862,411,251,973,357,569,703,112,196,557,350,488,682,464,989,045,
738,091,551,951,909,314,385,189,937,019,906,706,656,818,927,907,115,766,338,
986,403,025,678,931,741,372,414,142,909,512,569,498,065,845,569,737,131,085,
542,840,341,944,511,017,717,042,524,808,802,172,641,476,491,427,023,931,498,
399,401,382,966,872,063,007,587,274,549,844,040,161,040,376,775,758,499,582,
856,512,875,273,948,658,441,019,172,921,375,475,161,733,323,476,104,279,055,
154,337,903,591,562,002,370,566,042,079,230,707,428,804,177,208,163,369,458,
294,387,295,412,094,849,070,147,571,337,168,751,872,807,334,315,741,509,565,
903,225,106,558,227,394,587,269,919,828,339,839,793,404,847,885,941,816,638,
247,692,757,492,750,151,617,414,068,834,793,113,209,772,851,541,459,037,479,
145,211,185,048,550,172,940,751,805,246,905,459,575,770,844,908,240,989,902,
200,096,719,927,222,134,409,429,059,860,183,011,341,350,015,874,620,251,472,
321,111,764,693,433,079,753,294,194,622,422,554,784,250,978,806,055,932,934,
325,793,993,250,489,463,764,748,916,287,971,643,913,103,119,864,307,608,135,
053,553,933,237,876,730,107,441,030,169,956,316,473,990,900,483,459,707,100,
786,991,179,106,740,981,698,579,735,323,423,476,991,681,165,074,103,098,377,
718,146,487,220,952,756,703,771,959,289,696,191,363,285,402,693,082,084,583,
367,070,160,955,334,166,264,179,651,815,089,334,082,908,505,472,009,727,829,
169,177,298,379,963,403,593,959,648,902,037,115,169,586,552,521,164,499,609,
852,023,002,799,178,741,618,562,729,515,041,310,378,853,063,838,128,415,195,
469,123,304,251,686,011,189,270,497,705,652,889,462,324,629,437,093,429,694,
359,850,365,652,192,881,392,108,137,715,164,390,724,489,179,113,025,000,070,
872,797,739,965,190,103,190,848,951,852,293,618,179,225,876,103,101,999,818,
750,657,646,465,490,951,470,102,134,791,284,627,910,294,440,374,333,820,829,
597,158,833,713,601,869,887,420,314,323,030,048,451,918,280,026,284,798,294,
655,853,885,998,255,489,835,315,825,914,455,883,764,674,487,389,825,255,962,
953,983,039,607,760,631,001,435,226,332,042,659,996,091,757,585,932,729,790,
218,512,621,687,387,049,579,306,741,801,507,400,571,831,182,467,844,423,205,
140,435,703,211,649,839,926,256,810,357,848,740,620,926,301,415,190,436,437,
068,436,872,199,171,707,850,327,555,508,241,632,376,040,747,525,422,292,440,
046,939,699,123,700,968,191,068,721,516,927,912,606,210,046,845,538,654,692,
042,918,213,671,896,106,284,981,177,108,915,292,313,619,095,007,555,456,715,
953,519,035,712,051,909,260,566,195,275,941,014,836,025,593,717,775,347,629,
306,067,005,919,436,929,905,277,741,129,864,404,164,976,047,286,526,088,667,
647,778,083,110,566,446,226,496,819,783,624,176,675,700,353,054,686,583,398,
373,686,882,906,571,028,860,340,338,115,255,163,044,384,360,101,612,172,892,
699,686,324,566,758,789,794,419,967,867,985,559,766,401,166,125,764,033,437,
116,328,482,989,863,889,667,174,345,919,864,770,966,394,492,898,878,838,823,
726,028,854,667,795,586,203,649,909,764,196,125,428,228,331,224,826,976,223,
212,684,537,837,650,765,053,803,962,898,689,884,303,154,345,820,470,744,460,
829,694,935,991,995,988,903,053,073,411,387,914,122,424,526,642,671,904,581,
162,425,874,695,809,416,505,136,417,557,983,401,852,895,404,666,156,321,553,
308,832,343,514,200,113,396,353,771,233,165,215,047,648,554,689,764,749,639,
109,664,160,325,524,464,193,917,850,454,423,760,396,491,378,290,347,548,454,
160,197,604,441,586,004,208,780,179,430,483,127,678,894,818,373,530,210,385,
758,525,637,327,731,076,696,537,002,622,550,212,905,315,111,301,918,066,798,
906,879,344,517,668,797,867,347,766,970,138,525,780,032,322,702,315,831,812,
905,971,902,864,842,042,120,299,473,704,775,105,058,987,803,634,174,692,903,
074,262,132,893,972,491,301,282,175,295,920,321,410,409,647,739,758,803,077,
328,579,691,674,114,233,587,059,998,832,139,495,939,700,135,328,176,898,820,
283,752,478,119,750,246,349,848,343,220,890,755,977,380,518,756,994,836,319,
461,999,667,345,088,584,007,995,665,274,689,495,099,874,448,690,714,237,795,
965,140,551,445,392,292,035,923,444,553,388,210,005,239,616,449,361,553,961,
261,764,863,284,772,755,486,919,538,058,175,191,064,113,880,663,302,315,495,
584,970,742,959,699,803,084,454,831,367,478,515,063,229,611,371,666,034,462,
278,959,303,546,505,088,499,577,179,713,271,418,449,458,427,975,125,194,622,
475,054,987,802,064,528,001,751,103,359,426,702,724,419,746,046,461,602,307,
416,819,266,640,157,767,764,250,772,218,849,144,925,561,562,397,151,469,163,
957,822,154,670,273,392,949,401,354,165,176,822,556,923,173,236,191,535,569,
420,861,077,317,855,900,782,909,490,844,076,246,521,941,021,955,722,095,349,
325,701,604,876,521,208,185,001,601,747,162,008,183,721,613,906,488,390,903,
450,019,099,072,159,877,457,714,138,414,542,429,266,674,285,966,551,050,778,
507,416,029,492,917,337,551,983,530,245,825,384,428,413,425,797,582,477,364,
594,036,583,102,169,611,223,980,187,851,611,255,636,206,834,899,902,969,706,
311,769,931,187,820,510,481,343,753,531,245,267,366,570,893,391,489,636,053,
945,186,388,878,061,086,534,604,924,942,254,170,094,249,482,525,562,517,239,
521,909,448,776,872,272,099,742,171,262,911,206,425,540,793,204,571,627,704,
915,169,587,473,127,238,475,787,331,022,542,073,618,583,364,758,662,414,982,
078,777,773,626,086,925,825,716,819,200,780,877,064,496,547,814,790,796,579,
724,213,023,432,121,581,371,320,408,932,185,764,102,439,244,565,598,243,322,
896,214,740,525,191,656,385,017,269,137,091,669,583,158,829,450,154,163,615,
772,245,814,317,170,331,583,778,434,515,672,490,692,732,795,270,346,577,122,
965,414,968,821,985,822,934,810,201,792,352,296,981,159,210,886,834,099,693,
588,406,247,517,524,129,653,949,420,504,209,489,166,322,631,051,403,461,817,
134,107,466,152,846,312,511,440,237,880,930,591,382,303,703,291,361,668,262,
383,791,318,605,203,861,010,026,139,165,732,872,766,694,099,919,613,758,431,
498,644,466,724,993,362,587,502,259,993,407,873,667,370,316,975,701,210,544,
650,820,298,723,552,994,684,603,229,478,861,931,547,920,140,243,376,925,695,
120,076,335,052,161,977,792,503,789,122,286,481,365,164,337,394,427,474,603,
736,918,064,062,834,416,962,321,561,708,652,249,763,290,394,191,755,392,010,
278,750,043,465,844,176,432,460,920,931,299,573,229,626,397,006,527,856,382,
449,280,911,280,577,446,608,999,795,843,311,328,230,640,448,235,103,741,374,
580,751,361,271,388,233,199,154,275,723,963,904,140,197,007,802,267,269,539,
589,309,854,190,302,446,119,689,527,975,119,266,376,004,208,667,447,194,633,
814,444,312,074,351,337,291,936,523,976,658,619,740,349,920,598,904,767,390,
453,444,082,135,976,266,630,147,795,089,597,429,252,269,815,357,675,973,063,
690,823,881,832,042,917,664,041,186,547,470,146,717,997,768,371,963,405,728,
075,554,094,974,954,612,770,387,036,413,734,595,586,129,050,027,794,809,584,
376,738,252,992,906,657,746,472,150,455,657,217,089,926,329,995,285,041,044,
764,077,354,007,231,967,808,561,380,566,017,780,136,524,592,872,156,832,083,
189,177,640,002,035,705,111,601,407,581,660,249,119,635,526,026,134,984,889,
116,597,029,836,062,359,458,624,089,683,765,067,258,488,579,794,595,401,001,
769,711,002,894,003,013,866,279,298,213,810,234,061,767,766,596,193,178,883,
024,706,933,796,685,967,979,141,162,753,336,967,963,771,990,921,905,399,437,
259,937,725,267,429,852,008,494,260,614,737,571,956,772,923,535,744,915,734,
873,626,251,921,306,016,108,595,140,622,834,158,952,925,640,786,579,668,441,
036,571,217,343,909,756,291,169,499,407,976,998,421,437,328,408,771,585,683,
551,966,986,577,980,473,854,246,178,181,686,444,743,968,537,580,946,549,734,
176,748,234,342,668,544,730,315,319,042,851,986,320,917,569,465,572,369,744,
846,441,645,879,235,155,268,103,307,026,163,483,238,089,485,189,247,247,004,
247,820,814,907,166,948,255,804,284,770,679,531,217,890,993,090,624,135,211,
342,683,963,757,532,739,765,744,996,609,550,397,581,521,007,773,048,072,636,
637,000,884,192,641,440,749,252,823,110,961,240,824,864,149,518,173,122,593,
691,681,907,881,793,935,527,274,408,460,487,861,767,601,536,110,718,456,876,
871,056,698,585,268,434,115,351,177,793,889,771,535,391,371,501,700,395,298,
053,147,583,611,681,109,857,994,032,156,281,908,255,567,164,358,737,496,155,
629,145,510,445,874,701,223,407,300,096,401,887,753,340,965,494,138,014,676,
526,104,804,955,594,525,865,135,019,795,608,202,806,590,926,210,465,825,064,
449,821,815,561,757,261,059,608,012,342,607,321,407,403,814,628,018,041,660,
790,206,850,414,880,811,433,913,745,384,539,601,968,520,816,662,902,732,669,
485,216,660,070,829,533,211,168,063,402,314,640,458,054,863,313,746,275,382,
897,704,852,753,899,190,081,134,062,510,716,051,139,396,967,552,264,416,933,
472,252,351,050,207,980,743,635,127,324,088,021,345,323,615,403,350,646,810,
869,093,030,308,050,812,010,391,258,858,670,419,626,445,775,737,079,725,383,
219,150,122,905,084,983,399,574,038,252,705,972,041,558,379,480,368,680,481,
364,408,334,047,103,461,870,471,664,651,887,552,900,181,517,348,360,232,592,
490,040,005,930,754,676,396,119,508,743,323,016,951,814,891,369,667,899,804,
731,339,732,100,081,423,230,213,172,523,382,646,571,362,658,484,696,155,825,
533,805,311,745,047,413,177,297,137,116,984,728,021,977,539,237,050,083,269,
913,053,588,779,386,044,756,654,239,170,396,298,872,897,704,607,168,267,288,
808,430,577,722,265,101,048,279,092,046,003,004,771,277,476,965,306,616,980,
274,685,046,423,640,557,184,743,159,336,113,103,543,816,243,941,254,375,814,
544,690,533,372,270,465,292,861,301,740,596,961,713,642,552,553,468,052,970,
969,549,668,110,610,691,502,269,983,949,397,196,895,451,998,201,177,496,598,
653,447,504,135,346,767,867,404,496,861,658,439,702,985,004,523,975,358,917,
240,831,858,143,432,138,708,778,420,519,456,885,095,599,542,546,007,106,152,
332,116,567,474,555,434,152,486,657,270,924,950,720,866,174,933,052,949,893,
537,563,082,276,425,855,362,885,034,335,083,795,985,186,150,180,804,159,101,
812,618,785,675,012,011,174,414,883,561,475,925,882,845,183,228,104,191,742,
816,302,728,145,164,179,484,301,194,923,804,773,339,492,785,519,997,942,828,
743,439,391,034,204,615,298,077,060,280,480,448,954,967,844,893,063,967,006,
075,572,768,669,090,944,397,049,172,332,321,661,954,243,389,763,844,046,864,
283,085,182,334,940,356,470,936,659,942,743,250,884,764,131,215,047,115,689,
347,784,528,041,533,777,505,071,765,658,103,786,217,283,187,809,060,474,064,
275,188,186,970,066,779,231,340,337,460,038,952,765,125,428,701,128,847,970,
153,583,022,376,816,127,899,702,634,004,491,068,542,336,586,822,012,740,430,
282,515,313,908,625,913,710,928,936,953,366,213,310,151,214,920,715,878,087,
987,922,358,423,055,558,828,197,862,287,429,694,149,432,996,102,366,596,814,
614,277,237,309,983,291,341,702,534,150,356,140,931,537,752,273,068,571,213,
285,898,904,177,348,399,970,883,439,014,675,401,835,958,395,941,135,618,746,
874,799,494,180,412,986,161,273,273,636,258,545,869,254,917,053,983,439,273,
106,904,447,811,011,931,072,658,672,115,510,098,599,200,677,915,426,235,476,
405,957,074,214,482,523,345,970,813,981,503,076,098,830,474,910,954,724,396,
624,239,190,940,098,967,706,336,450,937,009,830,497,737,309,491,256,083,990,
716,671,758,958,856,936,216,911,305,522,388,786,502,391,208,573,631,641,610,
194,257,250,916,207,692,216,966,869,249,828,709,037,124,462,845,651,014,074,
054,625,909,195,491,611,091,985,670,083,882,284,171,987,455,072,761,958,791,
294,618,883,617,332,061,563,335,046,478,598,290,601,324,983,993,846,463,709,
987,707,774,127,421,194,303,435,645,362,755,912,177,527,449,524,679,126,461,
445,181,245,922,376,479,911,546,216,957,744,309,170,732,315,981,562,358,795,
097,317,772,532,463,614,578,068,096,050,023,882,771,213,309,873,545,158,656,
087,074,654,200,450,034,134,868,506,345,939,804,772,549,742,043,229,262,371,
472,128,597,906,857,032,872,666,594,904,111,787,696,690,648,835,018,973,721,
103,461,289,800,288,092,348,192,925,180,523,583,356,302,377,550,472,263,973,
219,955,196,448,611,704,354,816,731,378,813,278,136,481,880,540,005,586,269,
944,454,980,727,267,117,840,948,404,175,538,449,602,583,175,203,302,951,858,
217,817,031,167,315,295,082,491,986,775,175,898,261,587,410,187,431,795,641,
705,681,842,767,579,797,652,991,822,599,949,240,921,626,566,167,426,485,091,
912,668,813,010,019,246,180,427,725,430,887,099,789,219,630,570,733,262,220,
769,246,142,128,523,879,852,393,815,337,978,822,813,816,959,229,534,039,114,
104,599,130,265,173,509,996,595,470,457,883,010,280,416,583,765,048,118,459,
134,112,052,164,201,335,239,916,573,184,322,031,771,203,603,317,797,338,619,
072,223,820,262,237,156,253,787,768,802,584,480,885,814,174,414,878,544,981,
873,876,551,195,601,745,053,585,495,813,272,719,127,894,777,560,193,287,282,
948,276,004,840,020,978,329,133,863,920,804,338,260,694,080,460,837,563,279,
102,150,519,050,085,761,945,750,340,887,770,265,349,388,800,466,908,925,797,
634,860,747,134,174,887,648,380,738,870,771,723,842,928,414,171,891,331,781,
065,880,119,339,320,407,562,185,092,583,559,516,958,250,571,590,853,380,780,
839,520,911,339,199,416,227,378,148,439,838,229,122,102,894,488,285,179,214,
239,845,974,158,238,498,064,533,459,304,292,466,996,699,692,535,893,509,880,
380,904,268,689,682,464,951,177,442,632,595,311,996,749,184,880,888,523,575,
127,307,224,657,625,783,450,504,320,768,017,213,677,582,811,945,736,412,564,
537,702,876,020,366,381,360,062,599,954,774,364,654,749,002,251,693,058,132,
287,516,079,651,404,603,219,999,031,979,548,668,966,408,520,876,422,342,914,
071,639,976,885,304,880,664,065,134,765,171,077,133,329,098,785,029,856,384,
390,058,731,937,777,908,075,397,608,225,245,282,900,018,179,701,558,285,258,
646,954,105,001,979,906,448,672,059,214,711,751,646,100,251,100,418,163,732,
202,150,400,665,581,314,625,039,984,473,881,734,412,539,457,156,509,279,637,
454,074,587,523,244,810,080,224,657,216,548,525,779,538,606,024,917,747,292,
577,110,787,341,744,813,500,231,289,057,921,901,350,103,798,103,905,903,513,
731,300,530,674,382,222,286,211,527,013,919,704,083,955,016,045,824,548,532,
006,961,157,652,572,417,306,425,499,888,668,726,079,736,903,746,467,596,840,
380,715,999,231,039,614,397,538,865,742,682,052,608,595,585,466,530,764,341,
823,338,004,388,163,091,727,053,153,188,397,648,999,251,317,587,325,031,418,
577,103,262,233,220,513,805,471,538,092,615,100,373,008,689,721,728,450,970,
565,751,785,805,480,726,748,584,744,666,600,264,600,659,203,143,770,048,549,
070,565,784,111,179,325,845,403,279,132,694,861,689,053,687,409,332,524,282,
141,555,674,656,082,930,991,115,366,664,691,001,856,714,085,636,239,954,431,
023,207,687,088,373,028,744,436,586,860,991,630,468,475,616,282,499,994,379,
454,986,775,504,974,776,739,985,971,475,089,005,740,042,092,385,292,440,808,
053,748,223,631,306,701,632,430,746,829,487,129,386,265,549,246,294,608,492,
103,071,632,283,170,807,947,863,796,553,966,076,050,877,328,506,750,105,667,
201,931,696,147,367,738,386,428,368,929,617,623,061,669,475,698,259,473,448,
393,933,593,083,591,065,075,712,705,826,926,811,282,033,651,949,583,953,646,
187,407,011,675,339,265,318,846,178,477,977,184,047,075,268,715,465,188,014,
967,490,493,550,266,548,146,192,005,524,491,642,310,391,712,956,089,365,934,
336,864,965,079,055,970,615,169,790,269,238,588,809,109,526,817,052,610,405,
729,181,314,955,241,449,341,752,497,588,847,582,470,608,958,195,953,137,387,
893,613,312,609,068,005,877,360,096,935,092,913,959,997,572,218,172,041,024,
593,240,944,705,148,984,812,145,407,598,405,475,029,015,536,693,545,362,235,
195,203,216,662,448,580,596,810,729,559,810,380,358,355,796,945,691,591,863,
740,484,519,286,134,974,845,449,515,025,459,139,413,194,643,125,783,531,203,
842,230,599,426,023,685,648,741,443,732,207,486,132,854,291,393,333,659,691,
617,081,299,966,983,059,290,977,106,261,373,853,476,419,246,298,065,032,293,
596,381,654,634,853,269,101,845,977,173,044,348,458,170,791,643,759,000,761,
128,607,378,826,693,070,497,121,555,555,503,819,667,877,720,164,801,684,135,
955,610,614,370,945,361,095,533,085,945,449,692,950,913,234,466,571,309,375,
776,295,444,112,131,461,175,038,273,690,707,338,724,852,409,385,742,711,964,
332,779,193,486,005,517,086,163,130,764,404,355,430,911,848,282,385,810,295,
896,427,662,391,848,881,293,950,638,223,648,211,987,376,332,531,694,227,947,
692,905,335,603,301,167,979,484,724,136,041,017,620,028,302,952,862,672,284,
376,821,155,505,874,624,490,921,482,496,857,198,264,650,968,864,879,467,886,
344,889,874,055,186,220,129,765,860,651,842,911,247,983,942,423,949,087,369,
634,055,385,582,724,311,274,147,664,001,999,123,736,097,559,190,834,319,462,
486,055,011,652,499,632,671,166,597,062,853,381,866,442,744,350,959,729,713,
535,949,872,911,568,040,396,277,387,083,287,138,195,342,147,431,319,011,125,
458,806,855,685,151,815,189,011,830,013,977,636,451,972,395,933,923,881,852,
653,050,026,334,458,385,201,597,578,844,728,311,964,703,229,192,147,287,329,
006,141,818,728,011,301,558,480,520,962,723,674,105,796,585,582,427,722,885,
684,456,756,228,316,188,189,819,522,766,703,840,445,385,216,818,640,617,179,
326,331,608,057,739,024,413,501,553,610,669,716,885,301,268,842,828,545,915,
513,644,782,498,765,984,531,283,009,381,802,114,054,980,958,729,163,389,628,
396,516,980,453,941,971,900,031,809,337,929,727,868,081,603,735,070,909,349,
266,061,176,580,913,921,364,381,016,421,309,917,526,435,751,001,820,098,711,
173,909,802,322,811,105,742,097,005,823,095,576,473,762,655,868,638,971,890,
801,626,225,694,526,542,089,840,822,910,220,246,511,051,082,635,006,919,507,
234,455,871,243,003,709,972,749,133,668,984,836,281,393,101,990,369,161,697,
398,103,476,262,769,824,075,254,164,421,457,251,232,569,765,002,067,974,514,
900,985,570,933,294,887,498,075,165,646,949,929,178,471,664,465,161,025,925,
562,599,682,337,297,659,391,477,602,617,294,491,142,701,906,804,148,479,311,
420,072,191,544,442,429,731,404,862,887,643,025,102,823,803,923,617,784,198,
039,772,348,841,934,814,754,932,545,605,621,249,186,101,336,463,215,983,771,
928,914,015,000,463,935,137,249,653,320,006,658,076,231,687,787,120,690,151,
814,010,424,770,258,095,505,865,424,469,626,832,555,092,127,787,514,630,164,
180,508,306,927,007,652,371,350,256,451,022,887,084,290,680,424,704,510,967,
581,508,260,359,736,705,542,508,532,218,516,333,133,810,611,916,986,599,470,
145,931,583,780,621,345,931,312,185,528,506,265,512,335,131,208,365,362,073,
172,911,171,766,448,455,961,531,174,160,691,698,540,398,297,358,125,212,127,
464,139,879,818,193,908,144,231,077,372,288,951,431,386,289,699,951,424,621,
916,926,485,181,736,021,555,314,003,273,730,859,793,358,294,047,770,444,672,
760,656,273,056,485,829,063,704,210,150,622,948,079,786,975,123,204,664,819,
106,379,725,043,988,471,473,979,205,679,395,932,570,707,198,957,698,984,011,
778,676,820,937,981,980,007,087,992,221,405,170,635,796,683,887,471,815,761,
957,912,145,336,456,252,321,866,856,339,122,213,336,585,867,211,327,232,634,
543,834,449,681,082,165,641,169,178,674,271,066,359,145,137,477,791,788,348,
584,389,699,577,004,539,546,302,246,716,211,996,303,519,601,574,216,760,294,
818,208,241,617,974,635,832,019,578,038,843,622,237,286,643,437,112,450,886,
422,325,256,706,259,569,560,923,119,086,299,292,220,770,603,687,020,397,906,
603,642,477,120,345,466,135,421,138,695,956,522,944,166,817,028,118,430,107,
341,999,575,997,150,433,442,699,571,563,864,503,519,918,942,388,475,757,802,
630,212,140,923,383,518,145,330,951,592,089,383,870,389,756,456,625,234,045,
136,076,820,565,171,039,425,916,794,559,996,017,556,032,212,570,140,181,771,
061,573,922,603,651,268,374,945,564,008,583,492,997,066,564,609,419,174,645,
168,632,545,545,596,032,237,710,060,222,422,305,305,109,908,428,819,211,170,
824,168,198,498,421,345,014,367,730,672,817,555,481,184,908,832,244,077,775,
378,499,630,748,550,216,665,337,786,177,079,216,379,488,637,405,585,120,572,
764,515,756,221,335,602,619,617,379,088,564,628,149,860,292,916,985,210,698,
601,945,394,657,221,562,027,439,177,293,982,135,631,491,749,002,647,721,936,
916,100,107,934,684,201,037,125,187,225,403,702,004,105,188,732,926,475,716,
049,351,890,069,608,528,651,569,231,482,544,122,321,756,004,496,314,885,177,
370,991,262,932,726,497,510,532,970,809,750,776,914,713,964,711,313,261,196,
447,049,297,403,652,398,238,830,758,420,615,394,212,363,347,974,272,797,720,
263,670,015,717,281,561,437,941,100,267,982,006,098,062,302,026,030,191,198,
639,137,339,359,549,390,273,307,146,274,812,330,928,211,351,440,028,225,674,
712,635,547,482,023,359,432,872,111,216,483,955,313,365,650,362,132,913,639,
382,087,965,912,576,754,271,538,677,665,848,214,654,028,998,048,066,943,166,
129,493,417,906,014,098,871,420,658,127,775,056,054,711,238,003,970,340,285,
621,636,131,430,801,497,649,060,958,623,672,630,128,521,628,297,420,226,565,
906,270,426,937,975,580,094,030,155,085,726,677,548,482,533,442,201,333,639,
896,308,838,798,290,797,112,517,961,103,413,192,356,689,976,666,526,336,265,
204,136,085,313,159,674,967,844,311,906,056,936,601,255,037,643,255,645,069,
676,073,910,910,397,018,973,721,359,518,099,623,300,692,913,012,868,013,152,
640,220,135,377,001,853,924,285,096,173,888,714,621,929,953,279,842,954,956,
004,796,431,987,466,877,388,874,092,760,505,380,395,821,384,099,188,584,866,
021,030,537,105,474,539,106,566,103,036,212,885,918,044,631,039,356,661,139,
482,381,869,874,837,442,055,624,551,179,048,173,694,942,472,786,272,547,477,
877,951,465,889,095,003,848,603,157,179,649,395,171,618,249,490,905,710,101,
795,423,213,022,030,586,795,856,011,782,236,190,939,675,293,068,983,510,519,
240,097,167,461,641,497,680,660,666,454,634,591,555,719,206,081,629,477,953,
114,863,921,889,427,480,966,164,442,742,208,430,191,628,636,530,059,505,458,
170,566,944,265,871,105,753,852,179,920,696,326,668,868,844,682,143,564,444,
603,009,110,126,282,640,560,988,931,338,055,280,931,483,230,612,566,040,126,
018,067,602,353,060,229,589,884,131,010,201,599,613,261,462,235,264,388,645,
807,172,570,032,294,220,523,565,075,129,940,475,683,677,165,407,646,777,842,
838,025,942,341,493,926,611,087,328,119,426,715,366,320,464,360,669,520,850,
636,724,087,507,295,019,045,909,657,351,432,688,592,491,353,995,878,463,543,
471,670,031,769,519,761,330,180,409,270,284,172,535,594,581,663,496,196,472,
797,599,211,768,195,471,719,598,639,070,281,436,595,206,052,651,196,641,201,
077,038,619,146,241,868,091,514,312,026,798,503,483,258,348,709,511,633,691,
487,325,791,616,436,796,371,507,467,418,353,251,051,163,315,776,346,993,061,
703,003,930,914,923,296,790,264,853,978,667,026,310,787,673,000,365,439,527,
038,730,901,401,527,436,403,789,685,894,630,191,874,027,400,646,873,871,345,
939,744,636,298,052,953,037,972,654,387,422,323,195,550,509,086,552,349,593,
773,069,087,129,015,752,024,333,067,850,985,321,663,008,821,811,960,147,752,
831,006,302,122,150,407,475,909,910,516,473,857,366,815,101,610,720,225,021,
811,596,844,986,407,176,048,378,892,014,100,740,836,309,516,569,292,356,059,
245,438,988,668,406,926,845,745,748,957,469,158,482,824,807,108,286,148,598,
809,200,888,323,786,047,325,097,952,443,957,510,726,396,837,853,693,327,772,
975,501,967,083,961,135,068,436,582,218,336,640,779,241,668,146,056,440,041,
687,329,767,426,423,428,628,596,022,322,708,470,945,198,339,117,680,809,681,
051,270,806,128,537,199,361,381,638,666,748,677,425,434,805,794,262,584,197,
794,045,969,396,869,509,951,140,453,855,043,379,168,414,936,984,044,332,615,
610,935,380,441,808,074,670,834,715,699,400,559,194,491,351,218,683,876,256,
744,288,190,250,323,412,350,093,556,436,228,751,446,662,734,916,613,446,189,
767,687,858,521,637,015,600,219,046,098,357,724,231,754,715,834,539,468,496,
063,044,498,196,955,130,287,058,450,122,561,284,824,548,898,963,328,396,470,
611,311,043,981,609,455,277,553,460,721,121,749,758,562,824,064,389,949,526,
557,549,656,737,236,138,221,576,293,830,881,696,287,977,838,659,735,737,700,
169,227,274,106,579,756,701,887,487,717,276,578,779,532,885,648,181,316,164,
963,585,189,900,771,365,471,984,945,727,248,253,475,507,712,266,604,506,183,
127,984,303,119,229,626,191,805,886,830,297,861,355,999,601,176,580,963,535,
064,219,126,152,164,832,786,058,864,521,593,541,926,414,890,412,337,779,012,
414,086,374,996,051,551,224,620,633,970,257,665,895,774,218,085,409,549,909,
463,720,860,737,454,045,861,119,934,230,796,808,494,747,559,652,779,894,921,
721,204,062,963,231,244,259,534,071,985,500,371,623,652,378,063,552,566,035,
568,192,178,229,475,264,296,824,496,072,122,706,574,032,677,584,372,993,897,
594,886,574,293,912,133,176,177,693,999,309,683,655,825,336,497,647,292,780,
317,412,963,071,927,065,828,323,135,983,991,184,217,642,779,474,173,081,402,
607,222,753,276,463,533,971,673,020,736,240,241,397,245,061,342,180,064,984,
986,361,044,452,884,699,914,315,212,990,144,783,885,857,690,894,241,844,140,
089,601,413,369,135,245,395,829,879,720,122,001,509,719,930,933,955,639,774,
206,259,967,115,922,056,264,456,310,332,798,265,305,475,905,616,375,491,191,
992,557,277,834,610,115,292,472,563,886,455,614,732,690,588,269,968,088,957,
851,007,973,390,366,448,344,185,821,041,023,054,984,814,533,607,310,912,150,
571,373,844,561,757,833,332,542,577,200,628,432,253,262,923,016,722,256,794,
340,368,708,105,566,979,276,337,507,105,514,037,736,722,060,253,206,319,056,
705,723,324,341,497,565,131,087,563,762,672,460,406,876,328,493,078,115,834,
181,042,177,741,565,543,744,315,079,932,336,465,185,902,430,307,798,734,136,
249,140,785,952,771,827,388,465,924,641,625,504,438,493,185,748,163,457,643,
424,065,937,594,227,986,861,826,443,402,037,511,087,067,394,096,272,482,699,
876,030,953,785,299,738,067,757,499,309,222,251,336,417,820,085,623,933,062,
029,925,313,329,941,982,428,553,110,985,953,640,930,688,537,222,618,073,472,
285,429,531,641,651,329,946,773,064,583,159,614,520,577,729,041,840,873,242,
170,639,535,538,147,101,002,064,533,045,230,245,654,005,651,377,612,770,277,
322,691,865,908,321,518,279,864,615,950,920,051,310,847,560,875,569,411,218,
247,617,633,503,967,218,339,817,659,511,948,543,343,183,426,384,440,101,066,
884,809,341,877,712,487,569,553,779,004,781,826,987,094,784,732,291,882,554,
009,403,471,363,184,488,686,812,612,310,114,602,955,742,354,696,759,861,120,
329,701,938,538,355,329,206,245,416,104,244,794,763,840,202,281,221,916,837,
249,313,270,533,879,544,049,276,675,973,598,845,078,227,247,903,524,807,141,
344,395,481,484,474,774,986,460,494,046,835,780,823,886,230,969,341,161,058,
112,035,910,664,214,866,305,711,945,753,822,979,400,918,671,728,063,354,380,
108,854,635,443,847,491,807,369,579,032,116,658,303,035,494,411,754,106,783,
945,157,197,263,794,862,485,517,975,942,328,434,210,951,993,144,967,542,752,
596,549,691,657,603,506,459,512,649,528,860,801,660,322,234,425,702,193,152,
425,004,104,016,190,907,812,087,002,722,267,948,309,718,971,572,193,422,442,
448,943,952,483,090,632,508,659,701,220,125,093,303,471,042,684,406,264,227,
286,098,601,015,512,877,783,560,494,813,829,730,135,421,402,252,305,399,157,
143,359,654,633,342,820,882,812,615,139,850,220,330,966,879,778,122,562,922,
602,952,132,587,276,245,991,936,901,335,353,009,585,534,850,702,951,451,314,
311,150,378,387,886,494,178,727,824,112,348,223,713,072,996,494,844,649,383,
878,707,083,862,391,075,297,603,546,768,113,301,012,115,201,556,179,753,005,
774,258,239,866,585,554,343,418,460,063,682,337,956,097,059,163,508,458,259,
884,869,204,848,436,953,345,420,727,799,430,724,916,670,197,643,069,547,894,
938,107,716,074,625,422,045,223,849,386,185,405,258,501,795,081,755,178,844,
156,167,217,366,659,292,437,937,295,176,872,279,412,201,249,579,791,320,795,
375,196,878,441,325,531,611,402,760,840,781,930,770,724,850,409,358,683,501,
770,985,518,622,044,471,158,968,929,446,567,888,647,318,126,548,080,063,562,
102,794,930,571,151,963,591,525,522,643,987,567,857,184,020,005,896,514,346,
014,498,368,797,978,111,316,085,478,404,480,463,696,549,491,544,241,228,161,
985,643,819,646,471,239,013,330,742,446,360,334,528,035,204,069,659,876,693,
123,392,601,719,439,868,552,671,046,283,751,118,765,172,663,231,987,153,211,
666,887,505,509,187,654,168,703,756,496,269,577,505,824,714,340,921,153,124,
430,077,335,531,916,143,813,876,382,769,869,700,979,820,902,380,529,485,562,
021,452,496,125,742,460,395,184,930,265,991,113,405,455,029,622,927,745,580,
450,205,400,903,435,225,153,244,091,745,126,316,754,719,829,557,449,830,089,
058,352,311,261,352,930,616,623,525,889,537,153,849,256,417,150,939,811,439,
159,179,045,041,434,703,661,852,566,470,015,990,272,693,182,244,955,075,609,
576,347,238,460,410,080,775,256,078,415,840,614,151,451,639,095,582,519,271,
059,515,010,047,498,450,841,536,293,668,523,126,181,587,190,826,682,167,093,
276,616,237,724,282,241,482,265,258,680,690,353,563,364,245,203,628,973,368,
617,956,018,540,033,555,387,353,476,686,258,399,991,945,040,493,259,917,368,
048,239,693,450,922,723,287,082,673,532,645,585,095,606,434,406,111,091,289,
819,371,131,619,421,688,361,799,937,993,927,249,846,836,091,651,632,142,065,
617,926,168,104,668,419,878,481,697,884,681,515,390,122,179,477,844,027,299,
392,782,989,282,256,484,810,711,064,274,631,542,207,604,128,453,295,011,409,
311,223,383,878,922,639,014,671,521,185,522,915,477,295,320,396,902,710,757,
997,803,054,704,238,640,818,043,105,120,845,365,819,403,723,174,476,507,439,
159,373,810,852,024,613,771,066,717,578,556,731,136,979,194,226,543,671,365,
286,242,288,072,222,014,165,193,008,561,413,526,189,195,245,920,492,119,690,
036,768,561,135,706,504,539,345,277,555,762,933,978,159,258,109,014,831,500,
985,334,248,722,915,782,324,380,897,640,369,214,212,926,665,060,677,183,870,
425,658,896,819,723,806,251,930,354,203,766,984,960,039,995,424,820,660,886,
625,972,506,572,745,591,881,940,787,858,726,865,079,818,758,807,752,041,322,
090,276,290,526,131,644,047,228,164,154,390,845,208,710,021,684,412,415,760,
414,245,339,586,284,132,125,212,487,913,529,577,690,414,620,902,955,851,832,
412,224,972,191,715,458,069,496,331,001,097,554,399,877,836,451,318,600,308,
701,215,958,388,823,914,386,126,911,448,305,874,189,398,496,829,751,005,255,
135,385,918,556,523,581,238,472,184,448,066,189,649,988,457,926,236,396,947,
818,875,013,423,277,912,931,118,051,933,298,594,177,572,077,827,262,392,122,
373,605,874,227,332,921,326,907,895,255,251,653,566,144,319,106,220,518,231,
381,686,854,299,895,693,504,546,347,170,291,724,291,537,549,335,611,722,739,
808,771,673,639,237,067,375,755,806,781,939,114,150,554,582,442,938,421,681,
832,436,798,560,582,537,888,477,947,940,687,293,891,641,810,071,438,439,173,
565,590,578,797,690,968,322,630,314,489,151,090,918,701,047,726,155,648,705,
667,376,937,190,616,139,353,331,128,373,188,631,494,722,145,838,611,140,456,
773,669,287,695,838,822,822,436,107,987,367,549,299,071,181,837,786,937,408,
921,111,018,476,497,925,968,409,617,193,790,075,217,948,217,482,233,193,948,
062,594,114,840,558,636,050,404,563,514,956,485,681,375,906,143,716,991,508,
583,100,479,272,515,902,597,402,659,281,566,637,935,924,350,374,832,836,324,
090,612,120,997,985,182,391,628,360,265,624,994,024,907,922,823,049,175,915,
211,184,315,026,124,868,245,354,771,581,619,885,171,939,410,101,953,474,947,
720,943,040,052,388,255,269,574,409,792,508,733,762,164,488,275,742,616,016,
335,257,169,363,583,849,737,720,019,456,482,270,642,087,487,613,543,093,787,
384,829,880,170,104,656,182,295,012,592,509,397,941,857,876,153,640,670,082,
407,567,776,644,037,811,366,047,013,856,734,858,518,044,658,358,415,923,739,
046,043,490,653,225,409,439,235,972,067,574,286,141,828,894,272,237,925,100,
306,694,681,608,125,286,574,645,741,998,886,601,526,213,880,170,815,992,283,
469,683,557,056,862,302,694,024,413,824,352,786,991,656,110,608,266,055,749,
765,307,273,978,008,307,682,043,200,132,864,118,736,357,279,231,338,836,326,
252,144,915,173,436,506,524,390,852,843,785,749,023,350,336,639,280,042,259,
034,471,794,607,017,124,816,056,765,148,798,287,812,572,433,158,272,652,657,
254,794,068,028,446,251,084,731,541,451,933,138,355,537,628,413,320,885,529,
513,837,992,974,676,294,165,934,618,822,827,604,442,400,046,473,219,964,571,
100,173,775,170,213,007,321,069,990,469,871,810,985,752,393,229,423,339,514,
595,627,588,010,455,317,442,862,200,854,459,957,620,600,983,223,352,658,346,
194,961,843,944,937,112,815,608,326,471,079,759,576,683,780,741,348,671,644,
246,775,253,758,960,654,064,818,894,541,621,220,988,402,891,027,900,910,987,
851,728,720,081,773,073,333,172,151,438,271,015,321,121,096,456,497,696,594,
972,463,273,531,745,058,254,191,685,238,509,465,152,392,611,400,123,907,243,
204,948,130,876,018,139,936,508,857,436,732,840,407,871,233,021,872,932,183,
746,753,529,420,709,385,687,767,791,689,925,072,496,667,964,621,064,592,998,
898,355,387,092,621,837,692,277,154,311,309,005,784,163,677,820,019,556,103,
118,372,236,459,517,298,802,259,466,417,209,987,688,212,842,363,198,943,237,
708,048,299,773,819,713,384,782,576,955,445,780,957,925,116,096,847,146,511,
995,938,136,895,941,438,546,928,081,148,194,829,240,113,584,959,333,247,529,
251,115,305,139,023,148,837,304,508,991,485,784,334,344,389,778,767,822,464,
209,608,462,692,338,906,386,736,273,398,047,036,198,715,518,338,809,140,723,
399,454,715,337,298,601,276,571,372,791,118,720,077,336,005,300,876,447,356,
896,283,078,300,016,819,837,567,265,460,762,763,230,923,646,169,965,829,688,
771,950,353,532,250,123,725,147,071,275,535,885,131,937,801,552,678,602,365,
436,268,417,807,828,305,872,416,114,169,238,172,020,354,229,730,664,370,362,
912,227,319,743,602,555,421,108,039,938,163,312,956,351,421,507,137,138,262,
347,135,318,897,178,810,259,593,861,698,734,402,849,163,869,220,893,955,370,
693,478,164,863,677,079,048,889,530,288,533,294,924,658,979,502,408,432,478,
062,036,204,563,092,103,724,534,321,744,889,237,423,661,074,849,124,197,326,
051,753,889,301,730,933,212,431,259,389,217,543,111,539,499,827,801,046,998,
554,925,265,221,371,741,062,510,361,467,301,624,425,021,742,496,665,291,826,
367,578,034,754,654,101,718,656,333,398,381,494,844,753,100,247,840,300,108,
675,904,893,342,637,408,462,003,884,471,337,061,782,916,441,578,963,334,109,
254,986,802,463,387,802,217,433,359,321,234,746,411,080,148,452,291,658,681,
416,675,102,060,740,227,690,564,956,516,090,269,494,042,198,826,487,956,442,
568,655,344,488,690,037,125,838,910,445,330,372,479,475,391,286,477,714,433,
919,834,932,962,355,490,132,325,471,052,088,551,276,287,225,910,234,726,621,
186,542,758,086,173,691,404,084,320,425,280,088,258,009,130,566,535,092,990,
721,304,986,511,447,123,730,181,194,209,584,036,681,339,828,262,193,074,127,
007,181,974,187,281,774,784,409,043,379,876,428,250,612,529,026,501,277,419,
439,486,441,416,022,230,198,354,954,445,461,568,783,671,219,932,717,197,337,
269,902,673,196,520,145,147,454,400,312,352,752,378,423,295,558,103,595,489,
005,386,233,054,406,239,502,244,671,606,162,216,783,177,043,644,332,389,786,
679,588,668,082,484,653,282,579,990,686,200,537,034,702,578,441,487,431,675,
910,221,161,671,439,498,336,693,765,484,392,543,877,829,550,577,060,769,934,
633,392,908,000,876,348,479,162,283,859,781,999,856,004,170,389,296,203,625,
093,323,188,447,857,916,390,135,285,849,287,988,319,488,400,975,272,436,980,
750,953,828,303,801,216,338,109,058,099,678,536,218,701,883,149,082,294,393,
216,234,165,257,180,543,761,131,949,078,678,627,980,618,592,623,341,662,637,
070,838,700,111,957,827,199,194,341,104,028,629,438,810,301,292,573,515,099,
142,047,189,540,334,663,122,188,298,884,178,355,664,578,458,647,529,273,092,
387,148,870,309,931,926,194,245,245,555,893,353,171,381,963,154,960,059,299,
336,845,594,951,609,830,980,483,628,192,575,339,156,186,544,065,483,169,398,
403,125,135,802,353,754,032,216,348,691,601,130,183,695,239,429,633,952,710,
165,383,728,589,077,016,438,782,255,664,354,812,099,967,658,447,574,287,268,
705,240,200,114,487,792,657,285,527,897,222,715,687,111,213,445,246,624,400,
185,722,824,177,352,734,572,291,163,017,394,653,220,381,564,013,077,112,813,
648,422,155,349,513,639,055,430,157,274,660,689,669,527,235,956,762,377,823,
317,786,366,631,026,792,695,055,460,490,709,245,391,333,667,735,304,259,477,
449,346,755,046,429,652,706,289,091,176,611,064,558,198,566,681,770,347,363,
936,697,944,728,794,273,886,214,974,537,748,302,534,607,844,147,902,363,040,
948,672,211,736,812,658,331,720,210,118,351,069,976,172,663,674,825,164,813,
973,097,791,845,150,870,372,048,459,886,301,601,737,713,331,156,114,107,375,
476,957,531,029,869,825,332,158,949,958,847,703,870,025,253,669,766,606,799,
949,973,923,782,296,247,421,028,878,640,243,318,423,251,687,063,071,219,532,
128,627,105,114,423,518,935,607,917,811,766,461,309,119,342,828,373,013,748,
381,464,215,703,443,949,520,917,088,880,208,845,337,505,533,542,400,231,743,
025,386,400,415,203,861,069,669,966,164,168,655,742,856,532,753,238,515,174,
294,080,362,797,998,038,137,409,886,448,252,246,687,693,851,481,036,762,562,
799,641,747,960,443,722,605,223,895,426,988,346,642,843,446,008,450,245,685,
718,482,960,542,277,953,021,768,900,809,398,456,560,291,140,228,139,890,415,
493,348,427,545,451,700,989,666,511,677,940,995,070,360,473,650,900,029,888,
013,295,035,835,183,317,686,060,167,163,708,059,589,774,125,841,822,150,460,
773,304,538,282,785,391,057,557,640,571,551,333,751,261,658,070,276,629,549,
608,262,468,944,732,265,965,282,081,406,407,774,463,549,303,624,558,437,299,
795,983,630,154,523,925,339,512,028,598,879,010,473,267,972,989,237,252,639,
902,889,864,858,526,060,176,376,828,584,314,392,120,253,867,570,545,841,134,
451,288,479,296,617,228,875,486,424,276,783,381,240,333,771,666,226,868,979,
567,462,495,333,795,287,193,109,997,250,283,181,348,079,365,905,902,850,761,
385,575,524,564,035,821,883,980,625,333,753,824,796,064,105,903,445,139,731,
793,890,949,769,953,694,079,486,239,225,004,780,855,849,883,747,611,443,136,
310,789,940,128,069,986,276,287,231,210,771,189,994,373,670,130,028,845,750,
594,868,021,713,019,508,407,566,106,306,363,080,130,511,204,864,281,063,820,
210,244,167,841,452,140,600,572,731,279,117,353,073,595,643,487,014,702,236,
772,209,057,502,279,794,281,236,518,629,283,725,852,330,318,839,782,116,158,
146,813,882,500,538,212,044,682,263,797,004,346,386,284,156,734,565,650,222,
381,164,377,746,949,377,245,017,731,467,329,491,755,879,940,989,819,668,764,
951,786,129,730,990,441,677,570,076,672,910,563,093,653,037,393,124,255,905,
226,511,694,161,632,072,318,366,861,859,802,444,713,936,709,185,883,780,407,
468,139,697,967,122,179,289,768,519,503,033,438,129,519,288,920,828,536,184,
546,579,219,295,651,930,874,897,131,368,520,242,851,595,687,187,962,795,980,
005,170,017,420,571,434,693,034,897,793,598,604,854,362,492,515,079,655,401,
344,841,248,688,937,579,168,633,310,585,570,366,390,426,117,382,239,611,785,
098,024,479,596,720,479,699,334,544,379,539,194,634,774,380,849,424,170,013,
161,486,172,340,671,030,241,996,513,857,965,511,647,096,182,172,142,218,997,
215,559,550,299,683,017,031,480,730,576,402,506,023,880,078,309,364,680,740,
910,967,247,093,017,179,642,816,529,750,581,627,424,578,269,754,058,858,017,
642,883,722,772,901,642,817,603,566,030,793,266,268,392,580,409,256,712,825,
835,907,225,137,664,647,613,593,458,039,037,779,822,256,762,184,529,830,770,
112,806,348,192,337,936,094,199,842,139,173,781,668,297,818,069,324,476,997,
575,441,886,484,731,653,736,393,047,687,226,260,610,590,108,053,640,383,690,
973,375,431,040,448,679,437,166,285,202,760,689,662,516,204,371,015,386,621,
267,824,618,020,826,144,339,408,204,787,468,730,635,406,880,205,588,732,373,
408,350,417,682,257,039,172,820,446,012,862,270,358,284,258,057,126,150,350,
754,431,120,675,040,403,712,111,408,025,981,603,628,982,846,156,579,179,863,
299,940,323,978,488,018,084,046,168,667,538,841,180,033,627,472,751,000,303,
984,892,447,986,451,181,840,883,269,086,071,032,211,545,636,563,914,008,453,
137,468,090,106,392,867,225,893,308,548,005,673,100,949,405,241,101,736,936,
819,319,892,477,658,775,860,209,174,128,222,319,107,182,892,537,117,573,280,
027,260,508,503,582,189,439,592,762,952,950,216,750,549,164,089,508,432,906,
586,364,236,467,300,890,973,860,762,135,096,223,102,392,630,773,951,819,043,
043,162,152,293,656,664,582,219,963,958,338,730,087,168,459,647,101,079,720,
393,179,121,642,023,328,005,745,743,352,709,658,665,109,962,609,426,326,212,
908,784,796,244,325,045,128,924,583,556,587,842,455,756,231,283,819,254,667,
156,022,688,105,039,735,938,419,009,267,872,886,760,134,001,802,935,463,608,
901,450,892,680,034,943,561,731,006,629,636,296,042,623,062,391,968,113,028,
270,114,162,152,419,921,694,835,863,117,470,285,201,705,307,429,159,144,480,
812,501,170,373,258,548,628,197,050,575,649,127,641,699,269,761,901,790,471,
482,683,831,207,958,672,120,002,828,728,168,844,810,023,820,863,328,651,617,
722,977,708,704,002,323,719,658,238,692,715,229,071,178,932,115,903,772,404,
993,378,810,813,989,862,086,286,270,546,221,569,813,768,107,753,091,718,537,
092,810,722,043,278,704,149,247,345,747,193,187,686,142,371,302,427,102,135,
114,094,451,694,506,493,454,471,909,774,692,844,868,506,796,704,161,881,672,
084,522,579,651,899,517,132,145,381,053,944,558,140,590,198,940,474,579,712,
636,441,559,010,523,419,321,411,619,305,545,426,475,765,031,584,126,615,306,
790,187,362,882,436,895,383,900,091,928,005,350,163,424,647,939,640,836,048,
348,751,222,277,160,311,309,613,190,727,517,556,091,504,361,736,191,549,363,
826,813,676,839,949,222,990,597,403,116,340,792,255,674,147,733,212,679,034,
338,672,711,849,571,758,211,455,910,512,690,416,804,265,494,571,123,102,338,
419,299,594,963,527,556,570,472,733,687,826,241,819,659,111,558,757,457,659,
231,075,465,768,875,860,888,870,369,427,802,931,744,336,558,645,570,692,748,
443,423,582,386,554,534,693,963,670,176,006,497,007,550,959,706,999,671,267,
248,782,864,774,535,387,563,003,138,483,870,704,468,816,511,546,605,061,318,
250,289,796,022,009,752,578,078,341,350,382,254,526,755,546,799,283,715,322,
875,364,420,409,806,670,119,773,444,580,921,276,112,038,086,882,875,326,938,
348,229,171,910,356,100,557,321,934,934,011,738,665,598,017,028,364,870,491,
361,520,536,343,156,984,720,420,095,203,970,724,539,142,659,979,992,792,820,
054,444,020,579,168,439,093,390,636,451,020,291,675,595,987,780,614,232,924,
785,795,230,764,754,231,955,461,733,042,617,248,734,235,401,569,823,487,322,
477,558,331,069,287,621,225,172,352,713,710,071,085,315,376,585,917,178,705,
731,033,503,946,080,631,533,581,950,920,215,534,239,567,655,434,853,982,810,
163,544,814,330,203,507,161,184,034,897,946,858,345,738,214,903,749,721,700,
193,457,770,085,839,940,612,736,572,806,096,803,461,105,559,907,037,690,586,
595,850,848,068,014,869,898,957,557,191,226,047,184,327,450,227,146,306,934,
542,860,647,294,221,370,313,713,374,771,774,472,553,793,669,228,632,209,586,
105,425,240,433,456,355,819,472,654,645,596,572,477,809,031,813,151,371,765,
307,062,611,715,736,541,668,944,360,882,382,973,279,041,744,483,927,451,782,
106,580,238,230,755,861,563,675,801,018,758,923,716,731,040,919,693,183,427,
088,227,585,645,455,957,418,777,971,715,393,784,615,028,666,435,646,181,417,
026,122,132,508,673,194,214,507,780,303,536,953,144,808,787,576,829,268,765,
396,382,621,782,137,878,381,279,822,589,233,051,249,194,809,126,814,529,220,
670,793,166,512,548,048,504,343,863,061,743,694,091,430,278,968,209,379,257,
018,589,805,053,543,530,493,530,316,780,968,628,017,645,034,709,825,023,031,
597,304,743,651,522,710,682,782,709,820,410,336,106,303,594,610,381,824,473,
589,995,225,321,081,549,504,538,163,162,307,864,954,635,733,885,422,993,719,
168,673,150,382,480,793,666,139,420,703,921,612,926,149,870,362,221,751,301,
149,405,996,604,731,416,357,318,556,119,561,782,690,713,738,728,875,472,651,
801,656,850,141,351,869,654,042,286,312,811,270,938,700,256,251,471,222,498,
647,854,751,044,133,795,515,727,068,455,715,105,598,580,379,341,530,200,532,
831,408,861,294,770,658,807,330,084,722,165,844,734,635,106,003,443,993,451,
786,332,054,160,277,918,952,850,893,517,485,129,705,763,673,564,191,890,128,
701,378,212,079,914,347,975,836,844,138,740,860,314,579,920,323,041,695,630,
268,123,282,476,271,634,302,126,702,590,785,126,689,467,907,563,551,708,895,
530,967,145,635,345,089,967,968,385,360,935,222,751,565,238,688,144,185,375,
048,193,037,896,100,850,879,288,906,612,176,655,461,533,252,410,896,839,835,
865,637,800,472,982,795,583,515,385,809,454,642,908,675,434,724,578,196,994,
705,818,718,214,045,117,979,392,492,372,287,280,676,637,802,784,016,787,670,
578,282,175,950,471,620,771,369,836,829,097,432,426,069,484,116,856,971,176,
301,298,791,590,199,565,336,118,052,364,884,109,924,370,963,644,542,420,349,
470,549,426,124,115,808,422,489,822,525,212,851,995,910,095,112,096,022,548,
665,434,205,839,244,471,044,683,719,348,747,668,418,929,343,347,941,020,713,
632,325,131,781,809,215,158,638,427,375,562,651,939,855,505,927,748,929,283,
574,133,337,471,304,141,403,008,584,676,805,559,014,224,752,313,764,611,283,
608,491,278,125,067,592,989,794,485,672,784,093,914,418,926,773,705,594,702,
071,314,742,576,480,935,366,035,390,634,251,830,547,141,291,774,986,974,613,
021,371,540,362,087,459,147,707,339,307,265,769,758,294,476,787,325,014,930,
519,395,757,810,525,746,202,178,217,066,165,820,179,083,562,729,209,557,690,
711,461,459,244,597,028,388,605,486,033,014,812,248,285,734,881,168,697,906,
878,883,039,889,422,483,350,322,616,314,310,776,481,086,884,400,188,282,784,
499,775,172,737,961,705,448,632,271,496,898,706,668,397,105,076,445,563,973,
752,572,381,473,635,068,258,607,123,667,748,664,682,423,997,203,867,372,937,
018,899,366,013,525,201,602,609,001,302,450,898,836,899,910,916,561,309,529,
352,939,201,566,964,672,799,963,514,999,439,567,706,544,201,475,503,581,198,
210,872,042,605,735,551,905,600,168,738,389,614,272,302,245,006,145,111,145,
897,110,514,558,298,426,709,069,715,768,720,482,419,622,054,788,054,447,423,
772,802,091,708,803,813,982,702,974,660,445,224,988,075,442,074,388,847,769,
805,529,351,817,919,478,685,766,454,776,157,144,488,692,164,921,110,288,895,
092,247,826,853,253,365,964,462,848,678,763,083,332,052,804,957,302,120,494,
385,818,380,191,482,674,646,995,332,740,843,930,671,699,057,556,954,414,707,
077,553,885,766,549,941,777,618,126,444,335,608,614,051,885,008,723,218,207,
803,429,379,218,731,921,167,459,523,697,858,618,631,571,794,863,459,515,688,
406,086,980,392,913,193,171,105,868,685,399,703,340,511,403,897,086,768,858,
517,011,720,437,952,627,716,784,130,141,490,633,291,954,975,928,173,034,449,
419,471,654,623,814,713,427,409,289,677,897,931,716,730,986,562,736,303,396,
424,193,601,257,624,075,751,332,092,271,380,412,179,556,675,470,537,022,495,
236,053,829,481,124,186,565,969,286,567,205,806,745,753,793,372,621,121,588,
384,100,666,088,220,005,184,348,922,519,316,250,102,910,814,990,433,365,406,
752,015,113,741,904,452,443,686,247,405,791,894,560,921,736,806,684,814,675,
679,604,909,780,848,788,490,695,885,890,177,961,362,135,243,327,992,571,469,
062,459,374,901,821,371,336,000,685,419,543,143,953,836,614,071,369,483,314,
013,439,819,584,433,186,733,426,222,212,563,681,830,711,614,096,693,633,446,
408,397,837,766,446,072,386,861,756,889,438,391,292,240,503,698,484,087,723,
437,394,470,808,038,032,464,817,264,613,694,946,615,497,247,793,363,905,804,
506,539,191,884,573,311,136,085,436,950,711,724,397,038,987,364,496,299,133,
998,469,698,476,781,591,252,348,035,313,047,869,625,047,202,637,818,886,007,
640,848,839,004,512,185,612,096,358,298,867,842,233,884,554,699,067,423,482,
362,509,381,085,746,908,304,400,596,336,675,814,986,014,106,526,594,894,254,
028,380,380,066,309,096,890,202,764,960,019,741,902,069,997,719,636,899,960,
224,187,696,021,967,422,086,147,758,131,676,880,375,548,331,718,627,941,803,
760,512,630,419,872,967,625,214,494,240,537,316,721,578,182,014,876,807,412,
544,654,829,575,072,359,702,425,193,087,882,649,236,599,360,914,577,422,703,
761,325,311,731,698,221,512,771,817,089,185,775,467,016,052,520,002,578,584,
608,777,232,243,740,721,882,735,685,201,800,150,285,656,967,056,236,924,548,
764,865,739,917,205,726,847,273,857,507,049,347,140,399,125,119,483,522,570,
580,042,929,998,468,601,909,312,687,997,848,743,170,640,959,487,821,879,075,
390,127,702,528,347,181,459,697,184,732,910,996,032,053,375,016,822,749,958,
669,329,452,897,417,804,618,515,186,032,864,194,818,702,389,624,895,834,487,
149,811,563,121,593,040,437,074,546,134,380,258,413,047,070,448,296,911,090,
593,340,592,100,828,824,809,584,492,099,889,079,371,649,633,078,528,859,096,
205,477,972,918,234,188,265,088,710,372,354,377,969,059,967,712,747,107,848,
381,984,213,067,326,849,949,458,152,298,657,306,724,049,351,179,717,903,507,
561,850,266,693,047,297,880,660,246,569,748,279,408,053,877,170,495,002,745,
908,940,901,604,725,847,853,426,712,992,858,054,856,667,104,827,348,672,400,
110,072,635,757,968,876,893,803,702,872,559,093,212,307,002,836,517,409,579,
171,509,182,346,965,920,710,841,524,314,548,000,523,579,206,530,645,731,854,
590,991,056,269,881,119,181,907,389,587,916,750,038,207,422,212,817,445,258,
486,378,412,449,581,852,294,588,540,024,550,024,406,132,080,590,678,096,813,
940,510,056,286,141,366,578,740,678,699,961,548,964,455,433,262,573,410,903,
868,952,036,307,382,741,041,979,904,803,348,021,932,951,019,260,216,785,538,
565,654,388,021,915,365,421,035,840,396,499,022,380,447,976,801,156,801,759,
648,248,033,699,768,580,422,383,097,034,673,026,170,156,380,723,148,189,175,
237,605,507,568,341,175,495,979,662,617,338,808,575,161,784,767,282,988,213,
859,607,515,068,136,139,301,433,819,762,199,002,073,428,875,086,072,948,198,
689,424,774,698,780,691,893,590,145,631,306,281,003,878,247,615,465,336,541,
763,743,698,608,591,849,242,934,801,063,466,538,044,562,511,952,957,254,352,
853,818,576,220,857,895,797,867,771,820,081,469,284,082,143,228,180,383,707,
929,479,503,280,536,886,421,435,780,520,063,429,828,129,710,719,351,324,037,
535,534,202,095,411,297,974,145,750,443,738,058,700,008,356,011,392,408,487,
908,064,298,013,530,199,494,695,819,671,166,928,985,033,971,953,127,212,536,
378,789,233,792,426,072,891,585,863,426,079,793,029,706,054,868,798,605,039,
361,460,969,405,661,401,776,159,722,001,134,308,257,631,458,023,155,490,953,
850,974,001,219,591,022,577,775,803,608,077,324,579,573,992,877,020,212,015,
422,067,967,961,503,900,744,689,719,424,772,118,666,906,024,721,612,241,731,
166,006,811,683,787,985,247,597,619,057,395,098,634,334,289,469,768,297,006,
274,220,100,080,155,562,659,851,801,452,682,138,905,525,302,997,212,918,055,
420,599,271,914,085,761,809,747,342,911,927,694,572,395,266,820,304,766,404,
407,069,425,452,026,057,647,739,348,244,312,532,423,644,531,468,176,211,379,
145,731,300,012,063,093,129,199,528,589,913,840,755,389,930,024,914,000,904,
212,171,790,972,850,058,001,469,550,217,110,590,646,879,832,335,623,372,078,
651,421,178,356,864,597,674,053,515,119,308,267,336,835,723,664,207,144,326,
311,547,626,829,364,250,857,339,921,350,438,103,605,413,957,636,153,524,873,
292,075,270,618,022,772,085,901,643,420,420,533,392,123,988,881,866,360,552,
048,319,693,403,223,594,240,290,441,322,487,304,782,808,765,692,529,574,316,
297,471,791,801,591,170,196,837,708,920,359,869,226,422,273,645,249,816,567,
528,848,006,075,731,844,308,596,092,503,314,483,800,331,725,665,301,627,934,
921,725,894,227,792,137,998,725,033,807,455,449,090,905,872,119,391,547,373,
374,488,093,917,520,321,000,485,030,633,213,886,322,898,083,781,638,325,994,
677,709,644,379,419,931,985,582,656,607,589,512,921,651,905,051,456,825,482,
834,614,847,883,864,041,892,947,350,772,649,739,330,844,952,897,365,817,368,
217,420,506,367,577,560,392,669,117,538,679,657,288,023,757,642,006,169,994,
120,483,475,684,071,059,502,661,201,747,423,747,133,092,774,921,968,913,150,
778,397,979,085,903,162,534,146,552,701,599,309,972,668,653,252,850,064,916,
358,556,166,442,739,163,991,059,662,816,049,302,904,475,969,191,306,655,811,
721,210,877,623,315,715,480,003,283,622,155,738,436,664,861,654,104,095,175,
597,369,194,390,701,359,944,152,968,986,549,623,090,379,127,880,817,456,140,
645,098,512,991,816,372,849,487,816,924,774,577,409,020,629,466,307,087,092,
642,407,122,415,494,466,589,907,718,244,576,981,082,048,936,569,575,222,717,
440,486,347,522,622,513,526,923,517,660,120,141,217,547,285,582,309,192,058,
716,854,683,370,843,700,996,290,008,149,461,923,910,206,344,079,673,665,100,
277,819,325,100,550,000,049,915,001,881,357,304,228,131,300,677,205,662,408,
175,852,889,791,609,299,325,288,236,713,065,752,853,568,308,848,729,780,298,
202,813,831,285,897,621,379,811,114,373,652,536,848,442,871,535,987,833,762,
328,133,141,751,402,630,918,810,937,444,290,426,615,304,385,273,489,208,909,
633,461,248,547,035,293,180,130,001,715,416,252,404,796,373,869,958,718,953,
876,777,962,754,884,846,029,520,132,455,296,758,286,041,196,987,088,876,252,
073,664,245,747,133,025,021,269,152,589,041,533,958,228,507,910,486,844,087,
892,690,313,339,232,371,448,285,406,634,819,676,262,662,941,112,975,879,561,
378,844,422,010,461,708,301,400,011,134,539,602,559,245,071,752,956,302,866,
308,139,756,222,356,292,203,768,550,088,886,102,888,096,259,853,289,204,285,
845,366,782,451,927,656,113,966,249,991,970,238,152,181,522,645,563,899,906,
213,535,540,299,125,471,842,464,437,141,387,786,661,263,590,264,708,918,759,
199,743,210,007,591,575,172,213,334,532,757,886,246,570,333,552,396,561,739,
880,022,068,433,873,317,676,355,712,299,313,138,062,990,134,676,733,003,231,
002,333,400,079,243,600,793,814,624,268,064,831,144,406,650,277,649,551,988,
551,768,878,654,288,903,911,040,510,190,114,856,560,761,731,458,291,053,948,
992,918,254,717,177,762,409,938,043,636,088,531,670,989,623,426,506,140,124,
081,128,311,322,564,613,605,063,028,713,087,310,783,516,538,819,150,467,594,
711,605,666,174,821,793,119,838,206,288,937,493,407,275,529,084,808,401,346,
008,068,772,202,494,554,083,322,851,750,242,339,495,302,808,755,593,589,027,
221,827,648,980,276,749,837,619,972,494,834,238,214,644,933,631,385,632,681,
958,422,826,641,962,620,414,034,400,080,411,564,706,176,081,459,971,072,283,
191,736,640,036,650,243,477,939,443,785,563,847,919,792,610,010,400,473,292,
762,794,512,089,121,024,633,171,812,871,042,098,346,973,548,722,176,433,576,
203,959,947,947,792,903,558,570,394,668,854,518,009,545,850,807,924,373,782,
859,944,343,761,297,760,966,768,129,424,931,174,958,727,015,317,819,232,737,
717,273,886,647,328,398,728,319,354,630,747,701,360,799,797,057,207,466,453,
511,822,156,287,733,435,718,089,691,065,520,614,747,329,732,767,480,376,560,
086,400,897,764,466,273,921,037,607,510,484,159,730,530,207,587,092,801,829,
388,168,283,813,953,417,750,265,003,815,919,414,256,644,336,709,105,737,479,
070,570,298,835,929,262,329,959,719,036,930,659,196,112,454,866,439,660,990,
520,693,417,524,977,808,737,578,155,085,616,521,108,783,221,816,643,665,397,
801,144,240,336,059,505,803,382,548,921,941,733,211,929,905,876,769,378,032,
135,021,635,259,323,275,443,346,964,634,065,032,587,667,717,824,170,395,085,
300,953,347,013,809,750,198,719,390,016,663,269,823,968,619,307,589,215,740,
949,256,252,022,578,038,862,001,814,547,131,252,942,006,551,934,659,811,765,
750,106,384,583,353,016,870,905,801,193,035,466,545,503,172,333,282,889,252,
776,805,205,331,112,928,890,459,786,352,580,717,148,641,380,492,168,823,806,
030,029,590,904,429,582,745,356,174,778,434,271,159,149,231,486,508,360,287,
123,481,704,363,842,622,302,217,242,831,594,648,965,371,187,804,986,388,626,
267,687,656,471,627,552,654,009,589,701,584,580,370,710,527,713,795,869,624,
540,951,427,625,502,319,486,302,054,016,861,563,805,655,651,303,690,895,045,
670,033,346,467,353,047,205,687,353,851,819,126,194,404,187,657,007,227,293,
925,150,642,891,002,913,506,753,565,222,650,177,133,687,048,737,354,310,587,
177,135,894,315,016,749,698,303,932,303,695,587,405,631,452,586,731,142,010,
249,579,218,670,965,561,155,494,216,759,517,242,260,314,734,228,159,424,911,
636,204,768,843,019,271,706,369,568,508,628,635,580,280,902,236,657,309,025,
442,201,688,444,852,825,297,018,672,575,338,724,524,443,428,863,882,182,702,
029,208,741,408,111,406,027,332,871,577,499,034,857,479,925,894,324,584,892,
001,794,245,353,589,113,141,699,064,367,466,197,552,894,195,239,585,301,352,
253,039,191,149,701,118,989,837,188,487,389,493,702,395,262,987,570,618,969,
756,387,572,432,855,366,205,992,227,129,595,606,465,502,109,554,703,623,164,
115,042,994,142,995,135,699,915,687,461,234,417,002,990,564,293,207,909,647,
116,884,027,288,633,786,849,505,912,519,538,511,239,405,576,286,255,169,777,
192,833,659,302,654,029,834,468,762,652,641,832,716,850,167,675,077,065,411,
471,247,312,900,930,643,038,343,431,947,444,437,130,834,474,033,116,634,498,
977,208,712,129,455,242,143,857,101,864,223,606,781,291,381,111,085,050,597,
422,870,607,906,795,057,344,439,202,023,015,011,716,322,949,761,594,661,824,
553,097,345,356,139,342,400,509,418,169,749,213,556,598,445,236,841,058,032,
357,997,880,525,751,253,191,591,975,160,896,802,990,919,838,212,118,051,635,
024,393,420,385,102,480,667,929,186,364,554,496,170,584,627,551,392,952,558,
319,935,507,625,491,097,492,826,357,871,967,662,131,337,575,838,172,513,872,
782,597,942,241,161,341,159,165,605,072,293,799,278,272,719,440,849,068,424,
084,520,769,088,212,954,813,932,824,300,234,013,890,936,432,411,288,288,673,
988,249,432,869,869,186,459,098,623,333,522,585,860,550,974,321,637,932,114,
943,540,831,002,303,601,640,952,917,102,940,996,201,137,394,259,192,030,387,
642,449,141,472,304,212,952,163,163,429,439,337,784,267,227,891,652,308,021,
481,252,126,903,419,171,590,196,301,793,642,830,764,057,766,392,611,753,372,
024,859,430,555,086,677,894,818,819,995,024,497,684,940,323,618,169,765,372,
369,385,246,072,077,205,383,665,401,980,989,594,314,360,600,074,688,603,957,
563,979,523,678,715,227,171,590,892,924,108,242,025,013,896,651,864,754,897,
207,110,864,140,257,757,418,558,954,779,578,717,575,535,568,734,123,098,952,
403,170,921,742,059,567,753,770,926,717,703,988,538,024,150,424,345,478,787,
608,525,828,890,697,340,308,944,404,612,963,123,797,582,302,180,087,338,761,
587,428,504,352,295,317,779,872,452,022,306,404,877,762,941,678,109,670,800,
190,291,398,081,686,509,548,136,928,309,167,735,056,164,133,319,002,175,404,
222,134,298,211,670,227,904,420,977,854,610,256,764,046,027,718,470,836,831,
094,252,495,654,485,068,072,725,975,449,460,618,824,997,994,421,675,905,580,
466,126,303,255,224,674,919,283,888,555,698,364,637,556,504,899,769,305,071,
020,696,827,371,621,319,743,059,526,037,796,464,874,585,234,919,571,632,205,
282,706,056,811,274,220,025,638,982,901,186,448,297,714,579,211,779,370,106,
667,188,516,524,695,395,803,555,965,769,971,733,652,027,149,322,034,845,267,
435,620,618,440,752,628,330,223,548,196,689,971,894,470,752,796,971,498,662,
417,156,217,123,724,061,288,467,566,511,255,251,599,726,388,441,821,003,695,
653,357,581,633,367,145,612,316,446,694,881,022,988,737,238,152,006,436,824,
450,492,127,854,767,412,210,512,795,384,989,977,967,961,544,383,140,342,189,
846,062,080,914,452,799,535,615,213,883,287,543,679,600,959,871,727,394,718,
540,236,670,956,473,154,535,846,043,212,975,685,368,334,426,409,236,895,723,
315,198,641,002,053,575,697,668,438,512,498,094,010,166,446,820,716,343,534,
649,031,661,827,682,009,808,553,622,728,469,090,354,858,965,634,952,765,011,
290,284,885,766,485,213,102,656,721,200,446,506,638,621,873,126,373,089,333,
118,391,469,199,846,989,039,323,519,413,285,529,128,765,346,112,230,867,491,
641,721,988,246,997,464,320,499,858,580,958,953,980,004,466,582,212,903,436,
594,241,695,783,701,812,457,873,849,917,171,437,213,116,506,910,826,062,630,
111,820,565,494,754,630,291,007,295,875,779,725,674,936,759,095,377,769,750,
797,322,545,389,327,055,275,670,015,158,625,214,646,459,258,275,199,643,274,
001,823,994,912,032,195,220,045,867,896,442,097,127,508,553,716,263,471,105,
150,371,734,283,853,571,041,965,843,583,279,405,514,804,488,045,924,533,747,
322,879,113,813,727,680,876,751,338,060,609,517,725,352,910,467,423,751,211,
178,427,946,227,408,583,813,510,257,628,104,869,500,152,375,780,133,066,925,
283,104,870,862,660,289,672,181,702,317,819,814,737,842,141,224,603,851,779,
106,779,747,667,223,940,472,636,839,283,618,598,644,789,192,945,393,597,362,
054,366,790,272,955,737,083,411,242,080,550,065,649,012,876,626,024,104,566,
698,054,320,085,781,448,140,297,533,908,802,506,572,438,573,849,338,358,560,
632,294,481,320,790,468,278,128,698,016,387,014,903,599,795,123,976,737,156,
284,937,534,068,341,799,761,008,140,332,442,081,732,489,147,782,561,716,039,
944,571,112,417,089,715,645,261,528,025,777,503,798,637,538,076,429,117,295,
843,051,770,387,153,474,447,012,741,161,064,419,417,435,085,413,592,967,644,
413,917,636,555,925,709,784,378,630,600,211,826,255,875,368,326,013,097,766,
741,072,153,999,833,097,428,277,581,061,898,576,645,354,510,408,175,224,010,
740,562,512,691,525,082,966,132,036,270,247,250,760,018,462,876,071,617,661,
613,558,041,296,280,442,084,042,832,632,311,896,681,432,308,026,091,156,209,
529,843,737,050,780,967,792,192,565,429,509,171,922,911,693,179,105,329,956,
365,151,890,614,032,292,748,191,182,955,960,617,954,797,649,401,689,606,000,
729,663,175,811,665,263,704,224,160,201,955,222,570,253,350,082,153,509,656,
871,998,708,439,967,215,918,089,762,103,486,684,564,345,534,095,257,293,305,
922,262,408,556,604,362,169,102,715,827,059,924,581,247,987,600,747,721,110,
632,715,110,506,319,210,897,313,950,376,157,937,508,482,166,476,319,767,433,
930,975,383,381,349,613,550,410,347,845,235,108,220,701,191,699,304,533,971,
558,448,367,237,054,715,074,187,650,090,291,482,574,447,138,032,306,953,139,
523,599,141,886,981,916,719,081,484,134,762,852,043,421,173,373,769,155,503,
118,479,110,520,422,999,455,247,813,860,174,754,409,675,202,449,493,443,242,
871,683,392,219,821,175,330,181,244,704,972,395,613,324,114,993,392,344,744,
651,276,678,837,472,289,590,094,734,835,734,318,970,348,221,192,060,601,016,
612,986,227,879,331,762,677,866,926,184,930,684,863,303,520,093,543,407,882,
551,569,279,004,839,898,717,343,131,597,107,841,825,386,820,058,438,189,104,
716,706,206,646,359,517,026,794,730,377,632,207,951,659,637,651,799,799,720,
704,707,537,504,798,148,546,013,583,632,842,049,368,089,908,529,521,710,138,
969,791,185,852,606,298,401,129,967,765,620,147,177,313,354,603,233,114,304,
604,772,856,773,941,561,109,780,127,253,127,557,200,870,618,129,751,982,167,
074,013,445,749,292,519,521,718,183,154,289,547,804,315,543,843,213,482,413,
494,187,547,569,924,891,128,620,699,712,665,897,693,340,114,595,088,066,413,
694,606,790,644,586,736,122,809,692,287,381,103,413,479,189,747,057,252,654,
268,662,664,956,687,678,500,748,393,564,854,401,593,491,439,805,168,836,143,
643,109,439,610,017,260,017,730,359,292,909,893,365,429,885,708,654,988,513,
851,446,254,509,291,108,499,989,912,597,207,524,074,523,786,454,633,622,456,
361,395,878,296,648,045,725,857,803,453,553,890,066,881,924,429,700,357,478,
820,209,721,590,060,087,013,760,675,736,944,626,779,916,063,848,514,480,018,
564,904,680,679,366,252,776,758,757,517,289,540,292,394,391,560,769,896,214,
118,233,696,933,616,575,910,538,956,679,292,415,068,616,764,663,876,830,944,
933,501,067,671,786,747,068,320,319,757,851,090,013,084,156,102,119,848,603,
526,341,395,246,832,399,575,496,267,717,421,192,025,462,152,605,551,521,142,
918,472,844,732,033,078,675,322,925,129,290,175,328,682,087,323,921,401,200,
241,908,905,559,249,671,942,241,546,216,144,872,863,407,012,786,949,721,144,
107,762,567,036,036,074,550,413,672,304,107,023,392,802,410,289,446,975,975,
466,169,988,228,479,186,308,480,262,825,354,841,890,829,285,301,620,577,102,
956,438,278,224,197,557,073,103,822,749,937,377,080,290,543,625,001,211,893,
266,704,945,568,460,134,036,710,031,259,653,408,628,072,461,249,272,479,632,
845,294,413,837,564,405,737,425,426,510,457,219,184,356,921,978,529,370,276,
216,748,127,630,697,562,236,367,645,714,830,369,406,330,106,107,632,457,482,
947,408,466,146,497,650,382,452,353,006,061,476,556,054,957,478,215,814,328,
367,581,676,692,063,983,058,979,845,813,920,036,436,239,409,778,207,802,939,
448,979,797,898,667,598,555,704,535,058,718,575,935,245,129,632,796,679,299,
174,055,891,378,847,295,213,721,760,461,970,089,466,866,079,357,999,966,074,
469,207,549,379,711,762,079,431,204,076,008,088,179,724,451,273,352,478,938,
645,849,160,303,599,516,055,677,361,782,039,359,391,850,551,703,011,158,868,
884,082,420,500,852,654,111,069,650,800,776,545,503,709,679,159,739,176,009,
686,278,035,751,131,439,822,928,480,900,473,415,807,967,447,280,299,981,167,
807,350,651,976,518,573,751,217,627,102,757,008,895,296,574,954,606,865,121,
267,921,352,760,214,991,500,832,648,719,454,171,374,883,968,337,262,043,905,
626,991,363,688,460,768,428,304,958,484,921,550,137,793,778,300,508,603,276,
333,242,500,648,622,159,295,746,506,539,941,958,043,826,054,036,274,926,108,
761,062,894,247,839,267,903,031,770,043,365,433,448,650,114,486,551,088,897,
498,603,084,653,980,771,504,158,911,919,789,417,258,038,304,809,196,423,123,
911,234,289,133,443,596,396,796,710,093,627,854,252,817,491,719,676,291,126,
026,922,481,383,030,749,427,504,261,680,133,962,390,489,092,950,969,624,241,
987,205,127,574,697,041,080,070,898,870,797,224,595,797,690,504,094,962,521,
662,222,621,698,329,427,424,150,200,600,067,569,129,208,785,896,288,598,585,
605,507,800,238,456,111,230,816,652,290,013,653,013,198,430,483,798,197,829,
913,757,946,854,574,994,069,962,933,309,024,916,966,770,556,365,125,967,836,
520,340,018,322,134,761,956,336,034,574,106,597,018,110,374,047,883,651,251,
140,626,397,292,598,614,961,001,452,603,898,240,366,167,317,180,816,226,887,
583,551,233,203,165,044,293,618,943,707,678,993,802,948,411,612,583,572,880,
530,524,754,567,076,400,135,608,250,521,702,155,649,877,312,026,367,009,409,
586,610,978,261,243,806,719,099,286,246,264,877,356,402,166,890,124,895,015,
274,398,935,293,318,593,172,396,204,672,732,562,473,983,074,431,772,890,408,
086,372,167,880,047,012,018,051,342,704,682,513,579,045,917,571,961,397,614,
702,731,313,388,923,858,652,046,941,882,266,721,635,335,416,049,732,500,667,
604,807,474,674,617,563,752,445,872,129,055,645,042,226,839,069,173,367,861,
419,040,414,119,988,321,439,240,448,870,590,389,529,110,297,672,190,165,064,
791,394,008,666,189,900,692,712,131,916,228,850,599,937,836,694,147,386,953,
306,542,237,692,555,755,772,924,614,435,270,373,200,560,516,556,738,672,593,
970,617,676,995,171,174,552,112,550,110,654,339,130,438,398,764,269,581,687,
250,326,884,728,500,131,803,479,453,728,130,177,215,527,829,141,035,308,106,
298,667,904,149,152,712,506,039,761,105,095,225,594,487,779,881,689,586,340,
733,884,975,170,530,583,176,710,024,649,623,218,165,609,263,561,776,667,992,
432,812,236,534,245,363,295,357,504,391,015,023,883,225,825,139,425,352,242,
969,378,701,037,572,537,672,579,967,136,516,393,643,043,308,270,140,612,743,
809,967,477,062,977,916,377,605,319,914,748,867,559,621,518,312,970,758,082,
416,291,407,292,742,923,764,327,164,754,879,902,948,789,533,669,417,055,590,
669,423,317,852,926,062,452,193,383,324,608,897,514,577,428,052,213,375,250,
586,388,078,992,584,875,692,038,828,063,889,488,331,336,413,647,488,099,643,
774,619,338,952,779,658,651,119,409,008,797,275,033,402,687,150,891,132,969,
342,019,194,362,940,436,284,121,403,369,835,863,628,330,059,528,002,182,266,
305,592,545,035,606,113,393,337,787,797,872,965,258,421,776,483,880,288,563,
405,953,763,612,115,757,424,691,404,585,141,471,401,569,603,689,955,800,294,
985,326,043,607,071,252,237,279,463,403,810,588,721,377,436,448,664,495,639,
464,078,393,243,038,737,074,946,627,781,376,607,067,869,645,077,627,873,087,
242,085,274,880,815,925,042,639,422,822,369,956,139,980,465,239,992,556,382,
310,857,039,807,361,645,994,629,712,546,248,124,068,157,850,445,125,407,096,
786,496,028,785,867,820,340,078,573,525,441,696,619,918,654,213,653,946,731,
118,754,418,684,559,969,231,245,736,167,368,905,763,791,764,493,693,045,504,
205,418,313,285,554,512,544,656,760,313,036,119,504,167,823,555,414,781,741,
154,539,522,633,701,640,593,208,164,247,643,705,919,244,897,950,379,274,426,
128,810,763,102,242,411,517,915,508,250,643,469,554,211,672,655,871,052,476,
976,265,216,588,889,205,950,935,150,094,361,607,960,011,342,172,443,196,156,
162,905,225,643,630,161,148,265,568,032,393,226,087,802,001,724,053,731,784,
816,827,557,110,426,844,543,247,152,355,849,567,415,770,671,490,101,996,059,
199,547,997,543,034,563,734,863,579,190,390,347,983,703,005,892,871,861,698,
801,981,157,348,420,351,117,409,563,230,448,065,834,124,928,522,055,702,554,
125,603,559,933,096,669,690,654,135,245,430,038,040,080,066,242,607,905,079,
584,908,526,931,660,887,014,908,588,230,209,729,163,277,889,456,492,876,980,
865,969,794,385,364,529,178,867,930,580,737,629,866,665,402,140,187,059,876,
782,921,409,621,115,019,056,853,372,664,972,766,978,621,096,259,248,890,086,
279,374,269,029,260,329,149,444,492,206,972,383,916,611,116,752,738,041,510,
391,852,954,522,621,718,912,117,463,539,784,794,246,099,503,597,301,057,655,
438,791,869,344,182,432,188,845,926,108,408,955,349,510,407,357,996,176,843,
352,954,047,363,208,704,823,986,463,879,047,892,328,927,089,587,025,568,393,
570,306,909,778,802,448,757,621,527,594,722,496,094,612,344,890,657,997,268,
635,690,296,495,008,600,377,590,591,997,132,814,890,173,640,457,797,204,748,
323,566,132,762,627,312,928,412,084,399,588,125,215,919,833,595,898,458,937,
271,965,119,031,755,093,406,243,252,859,836,401,510,267,853,367,067,612,498,
072,169,344,106,649,093,207,540,147,355,372,383,207,591,613,095,900,997,767,
344,458,996,282,608,634,592,954,533,456,261,270,709,855,325,740,377,477,406,
928,656,158,042,817,743,550,618,847,026,372,601,450,805,174,492,215,948,198,
827,613,693,093,852,431,233,716,669,670,417,167,788,770,888,453,333,661,349,
270,416,485,000,395,059,955,572,423,657,812,699,349,070,954,903,732,105,131,
106,672,541,722,916,672,018,121,809,839,647,937,369,935,064,361,008,297,866,
852,834,754,036,201,663,988,835,400,356,367,106,722,257,246,689,313,836,160,
523,445,973,873,423,407,501,946,235,002,021,345,645,088,104,163,999,964,883,
407,198,386,061,977,694,350,883,327,384,260,694,365,843,746,227,204,662,112,
485,690,388,954,340,180,555,907,172,863,553,162,058,754,768,463,006,973,021,
447,530,746,926,031,550,951,866,415,472,852,482,723,344,307,789,558,549,714,
793,730,182,400,073,858,061,146,836,204,122,249,523,536,811,240,116,061,284,
756,456,899,490,954,805,637,218,969,244,055,957,493,761,798,514,727,830,128,
669,141,281,439,120,566,402,282,970,051,031,324,719,281,816,523,648,581,198,
016,419,489,810,279,516,916,382,114,501,318,308,530,299,071,601,451,878,860,
474,095,453,317,437,682,644,669,216,829,697,709,280,479,603,000,579,889,927,
535,652,704,500,628,781,859,408,620,407,889,511,803,469,619,034,952,927,036,
049,755,513,063,388,618,837,218,571,983,852,739,876,669,654,967,067,142,491,
239,926,530,365,863,560,814,920,481,139,919,422,088,881,526,522,180,142,705,
883,652,949,471,219,524,287,402,877,053,395,195,495,545,768,825,190,150,024,
216,705,772,762,814,038,330,240,262,908,640,715,967,443,012,005,302,533,648,
923,618,115,982,569,493,367,932,666,794,240,918,464,472,999,484,145,399,180,
352,149,938,570,064,781,671,332,461,136,973,306,513,162,689,361,043,783,043,
701,458,884,867,820,479,821,561,722,475,911,024,574,111,382,346,383,120,369,
571,686,032,873,093,306,088,247,615,502,813,441,493,837,065,871,613,879,808,
955,977,921,176,183,452,624,869,689,715,005,921,617,428,674,653,096,107,353,
423,833,427,238,538,541,473,197,851,575,869,232,841,441,023,328,832,211,398,
335,061,982,697,944,526,442,139,753,656,111,031,219,582,680,451,776,369,039,
949,045,438,598,597,968,107,715,898,859,812,480,211,174,830,881,442,148,234,
572,878,665,018,970,465,134,214,316,367,214,673,203,980,377,040,335,080,717,
506,158,140,281,286,198,250,533,180,890,386,208,921,747,109,780,212,682,975,
746,518,676,810,492,562,778,613,912,865,181,307,287,002,413,716,764,420,159,
539,490,549,785,781,206,408,807,586,444,341,617,002,745,522,063,087,627,776,
024,811,902,471,330,337,603,149,951,525,340,181,719,195,195,766,669,711,215,
695,614,523,355,394,460,857,269,060,191,621,219,063,165,057,905,000,106,573,
245,414,190,054,110,062,154,320,752,853,233,924,686,542,060,643,422,900,857,
235,392,825,097,007,235,651,946,081,127,107,920,279,869,032,261,691,349,767,
406,052,390,434,833,067,486,090,897,184,062,412,828,619,679,772,903,151,740,
832,624,512,352,284,857,240,127,615,341,377,902,698,167,924,282,257,711,851,
969,496,762,931,494,656,164,595,377,275,857,715,245,351,211,386,519,258,780,
998,324,020,667,504,816,679,919,073,516,607,063,547,021,963,921,283,776,697,
280,952,751,122,665,317,966,541,126,554,014,159,457,864,729,627,565,405,731,
367,176,285,748,386,957,497,050,592,029,776,377,431,577,797,393,677,543,923,
710,249,970,482,652,531,678,252,211,467,167,999,912,609,300,794,155,223,034,
596,391,820,408,807,886,391,768,211,033,475,402,919,355,198,506,432,129,241,
176,812,984,888,595,029,739,236,141,914,605,644,740,548,939,294,223,063,717,
645,694,548,568,828,663,951,047,529,093,693,689,128,451,170,645,765,725,643,
789,881,165,906,186,299,774,283,279,221,318,708,686,738,379,823,556,772,879,
611,498,221,101,307,006,603,432,056,496,083,660,325,848,492,942,168,764,243,
896,640,873,940,632,074,145,610,988,993,640,088,336,145,395,262,760,018,712,
377,734,924,342,795,130,629,302,222,309,290,327,630,909,958,616,323,350,911,
265,164,629,039,781,438,929,426,355,729,701,090,196,856,134,864,540,691,393,
829,752,738,349,895,925,004,312,255,210,875,224,624,783,130,816,220,837,222,
940,106,743,319,410,187,319,117,429,377,749,720,499,018,064,685,242,758,563,
059,999,755,784,226,797,977,854,166,876,115,598,081,045,278,710,946,512,333,
543,029,139,915,404,643,171,454,781,215,143,159,922,940,177,097,057,829,049,
226,869,136,546,735,587,236,497,171,943,675,944,702,014,109,218,177,652,163,
646,767,407,691,614,714,297,651,856,854,184,851,852,026,644,361,872,998,103,
912,372,903,722,438,247,359,648,788,269,480,820,538,718,017,773,789,698,158,
270,985,547,723,228,024,155,297,217,300,070,818,611,236,332,929,653,987,962,
230,696,631,629,016,590,040,274,008,221,018,760,190,699,978,655,682,551,065,
062,699,630,213,605,987,966,935,620,126,920,149,403,751,862,652,281,623,968,
167,418,852,321,817,205,405,127,222,618,544,101,451,473,028,768,885,940,332,
993,591,201,407,080,829,592,882,532,504,888,263,468,312,837,169,052,193,145,
770,182,731,920,243,442,331,821,094,505,592,516,403,506,577,039,637,089,368,
404,362,824,047,832,906,303,996,200,963,588,422,723,781,558,717,166,572,320,
374,541,975,684,957,774,074,186,504,390,831,546,153,459,748,779,664,891,809,
158,848,521,235,523,714,095,316,932,124,395,629,637,158,760,779,780,111,900,
537,096,953,203,363,828,268,010,612,833,275,412,265,615,112,231,212,469,616,
036,138,727,397,955,164,843,710,245,287,758,577,179,244,401,429,940,222,452,
527,329,409,457,327,336,718,206,398,360,620,436,362,892,857,126,965,425,761,
068,260,124,082,322,415,331,333,030,859,404,423,262,778,451,560,299,988,734,
388,869,433,308,474,894,356,854,036,228,954,801,385,411,426,292,914,657,959,
401,467,369,594,718,227,989,566,081,073,974,199,919,412,543,838,208,120,630,
872,884,862,640,922,988,183,528,228,546,652,729,809,224,386,476,036,923,879,
786,735,173,890,205,297,099,263,783,857,153,487,566,565,221,643,881,348,599,
751,233,271,888,590,230,888,202,355,756,770,602,031,470,667,822,713,915,818,
330,353,703,046,720,275,751,617,734,886,756,181,308,743,912,108,564,274,022,
686,122,790,637,176,442,983,705,681,333,058,676,757,218,692,050,066,150,447,
331,985,953,039,013,679,140,977,952,084,070,205,939,425,344,763,689,918,991,
689,648,190,733,618,922,469,493,369,823,879,879,715,940,261,171,852,359,818,
635,608,875,744,159,536,489,248,224,909,861,479,509,993,093,320,658,796,761,
605,341,823,052,465,549,998,348,896,659,586,522,190,112,034,397,053,655,488,
219,667,834,812,372,512,088,302,644,796,541,455,055,387,928,863,694,282,704,
555,729,152,199,335,386,431,809,749,796,057,116,807,877,482,659,032,370,769,
538,090,662,984,780,040,886,450,662,408,197,162,015,288,513,988,979,595,482,
050,115,684,903,278,720,743,589,029,692,464,161,080,084,837,787,447,047,772,
904,689,403,442,283,640,759,501,182,605,360,413,385,482,574,128,229,775,722,
614,247,149,184,400,519,104,415,876,100,078,369,422,596,968,704,918,333,619,
674,765,481,472,835,572,356,400,260,514,094,790,444,991,340,244,356,862,938,
297,532,498,385,313,459,374,498,149,395,132,468,614,528,336,840,201,126,429,
773,023,587,856,542,841,096,433,361,391,455,515,192,113,148,914,148,854,325,
592,216,027,495,212,172,258,123,800,668,437,291,867,159,296,849,044,649,167,
615,328,396,814,167,331,316,514,507,161,716,784,107,105,175,100,968,312,419,
936,156,103,409,544,020,541,125,573,719,068,491,941,163,538,618,320,513,599,
024,567,247,684,149,073,378,805,419,483,409,148,223,541,852,127,469,394,947,
742,999,512,027,803,924,101,248,645,675,095,372,654,660,472,165,000,969,158,
945,348,627,668,767,135,732,527,218,712,279,213,476,217,770,584,221,256,210,
593,618,950,886,625,035,414,503,591,155,725,714,132,605,918,561,658,587,615,
234,411,436,110,459,795,340,982,059,869,116,828,336,066,530,221,281,939,067,
263,877,518,925,332,810,209,029,014,490,226,859,971,386,936,338,167,487,250,
489,286,931,398,787,735,725,751,558,027,224,462,102,367,526,013,380,108,045,
323,613,660,850,112,586,785,804,918,364,355,854,124,070,745,577,777,541,501,
059,502,204,917,971,243,485,328,981,015,697,938,044,448,559,865,155,589,655,
377,097,572,876,467,728,270,066,290,812,887,451,197,566,273,184,855,079,833,
974,118,253,524,495,888,303,265,443,226,141,039,720,271,599,622,063,685,212,
679,783,263,066,020,766,735,598,988,583,086,596,777,543,778,623,773,847,154,
793,660,951,221,225,002,810,909,804,118,523,604,682,785,041,441,706,687,216,
399,642,533,535,579,686,453,168,888,091,096,265,265,019,133,507,488,089,583,
768,422,258,042,213,213,601,552,921,262,609,331,688,951,330,513,148,246,282,
718,835,007,149,122,558,736,771,908,896,192,341,391,638,093,478,477,094,093,
397,380,407,506,279,883,053,737,689,121,898,136,497,818,834,286,208,809,771,
413,488,631,884,551,184,827,252,274,578,007,624,493,516,011,281,784,298,954,
028,670,836,018,071,142,995,549,744,507,874,161,457,645,413,747,055,891,102,
432,884,386,952,553,073,113,199,793,589,807,289,496,187,970,432,306,773,549,
015,223,248,441,259,074,275,194,225,519,942,781,464,173,578,455,855,367,442,
056,000,867,348,388,895,560,112,004,471,112,202,516,473,596,917,702,772,855,
685,200,727,585,590,321,833,107,184,093,676,578,060,717,530,091,958,748,998,
420,647,691,269,709,559,496,261,265,668,275,756,227,038,034,867,236,274,409,
283,533,807,855,299,918,005,488,860,334,322,050,826,490,793,766,871,657,369,
070,588,238,792,581,728,176,142,646,242,544,835,810,680,514,284,671,846,640,
638,544,369,504,727,570,629,038,651,064,903,060,339,930,157,770,312,349,791,
706,698,029,459,121,574,786,057,553,927,645,317,854,284,899,191,955,618,920,
410,906,344,693,143,195,149,785,582,288,697,521,490,297,359,933,754,340,732,
104,206,417,749,409,932,225,420,428,775,213,695,422,587,593,982,144,220,279,
430,157,968,286,216,931,851,156,290,908,342,970,217,506,695,704,015,984,205,
175,118,214,693,683,890,982,130,502,307,357,967,427,229,543,569,533,580,823,
091,783,952,440,738,911,247,361,719,090,701,362,205,852,363,319,400,506,418,
224,208,232,670,043,804,437,002,769,766,332,644,150,278,680,941,909,129,110,
531,408,492,346,948,717,895,926,844,403,848,935,332,094,304,290,267,189,488,
305,721,194,055,206,127,958,757,211,179,544,816,323,366,537,411,765,377,821,
811,475,409,121,224,852,348,380,437,622,933,369,704,137,813,205,765,630,025,
494,040,951,007,003,619,334,450,019,912,824,571,718,730,406,349,274,920,745,
165,315,459,524,345,863,626,862,920,224,774,026,432,359,813,588,771,213,473,
178,490,046,521,392,563,786,531,426,369,916,474,595,549,462,514,665,376,218,
990,689,069,304,159,912,716,435,558,342,027,340,245,109,243,860,519,514,028,
528,867,713,696,403,640,915,871,097,062,257,465,066,563,425,092,695,660,861,
080,206,206,512,890,501,426,276,861,551,725,385,736,931,801,539,804,294,298,
731,577,986,650,566,514,675,804,737,720,442,971,440,788,298,641,045,464,169,
484,554,436,792,784,979,917,843,468,935,111,160,313,460,973,982,344,919,358,
663,127,853,464,390,426,477,843,453,607,264,610,785,756,759,228,541,647,500,
265,152,132,204,121,687,539,383,320,579,749,586,601,661,610,885,109,055,192,
291,065,794,938,433,670,995,954,445,553,073,299,711,233,227,101,052,607,211,
370,531,423,670,836,165,869,132,923,955,768,374,001,031,420,179,737,750,691,
929,398,562,387,006,349,428,038,525,050,089,474,519,850,025,290,431,888,354,
480,941,684,362,530,212,807,734,610,561,043,531,004,161,566,368,832,592,211,
816,975,734,236,039,021,185,902,775,798,675,833,225,778,065,262,198,704,351,
694,835,371,670,895,719,267,447,523,456,999,803,548,245,400,944,566,336,154,
562,907,911,055,243,345,326,705,139,401,261,418,802,857,959,240,873,478,004,
161,735,600,109,879,861,992,321,031,234,655,107,177,300,069,945,423,217,520,
614,451,943,887,616,594,172,751,938,960,542,624,741,967,966,863,112,548,468,
732,427,122,424,936,918,100,418,801,395,163,283,538,273,344,433,804,831,220,
266,186,005,782,273,246,465,749,531,533,249,447,484,244,342,034,696,681,151,
132,416,378,217,048,194,371,758,029,448,704,264,601,112,948,071,730,935,438,
357,143,001,433,752,593,802,337,730,750,645,283,559,937,469,974,171,411,456,
966,807,428,519,954,381,115,501,488,580,488,781,284,335,892,051,090,255,446,
699,918,101,469,700,261,233,373,171,647,658,720,783,199,555,998,450,369,266,
023,159,824,636,242,722,157,683,492,669,118,865,286,014,795,656,787,451,957,
255,924,586,595,260,941,508,084,478,771,488,328,871,814,710,112,414,691,401,
190,490,362,391,949,280,217,318,002,534,180,051,001,570,956,478,097,926,824,
078,684,867,171,408,110,541,949,441,543,484,477,330,406,007,364,683,645,166,
560,466,475,266,949,102,884,923,743,051,360,790,467,631,811,813,795,381,850,
113,562,773,448,498,035,386,774,511,526,273,057,565,156,713,618,873,994,041,
687,128,203,763,003,476,205,980,075,424,278,784,535,582,982,335,974,372,101,
105,992,741,794,362,202,961,925,861,709,084,525,810,300,723,533,557,134,328,
847,874,522,408,366,664,447,401,609,167,990,920,401,616,600,838,998,977,494,
101,012,488,558,437,043,710,960,195,843,361,890,562,056,426,699,591,526,278,
171,102,293,319,643,240,604,399,801,132,948,392,078,680,916,307,980,567,931,
637,948,081,850,430,967,438,134,071,499,028,989,114,624,012,302,202,946,831,
726,703,600,759,248,984,381,194,507,826,388,439,450,557,113,848,758,680,754,
220,651,658,605,250,937,083,710,015,071,343,433,904,020,622,624,795,567,638,
932,012,959,875,309,756,583,623,112,409,494,094,081,061,027,209,390,726,823,
165,662,649,264,349,776,267,564,100,170,624,571,724,508,175,263,815,448,773,
580,835,180,904,463,425,268,773,250,686,803,752,773,485,103,502,051,650,137,
725,064,305,575,180,788,807,798,845,857,890,510,019,767,378,730,754,563,421,
502,439,202,460,650,612,457,649,195,117,359,578,992,275,321,575,263,034,949,
385,762,130,318,633,516,130,303,768,974,013,434,413,412,391,180,173,019,808,
031,075,554,371,673,500,288,765,183,338,383,798,410,203,695,907,891,889,997,
394,273,109,906,053,686,168,383,169,645,082,388,872,530,477,899,430,912,503,
253,768,588,134,921,847,930,751,973,614,264,987,836,768,519,424,704,768,082,
930,685,503,804,643,093,691,044,498,360,130,569,172,475,263,542,366,447,256,
523,874,064,388,117,829,879,956,815,851,242,038,046,104,510,876,513,687,325,
938,313,388,660,161,928,928,446,430,760,223,427,014,146,601,023,509,445,032,
607,891,164,497,743,847,363,755,786,828,730,814,315,382,318,514,883,587,387,
552,459,812,098,859,424,090,751,509,435,860,334,013,766,780,657,613,689,332,
373,866,519,846,307,611,299,719,973,486,372,214,684,550,401,465,678,973,887,
459,712,239,503,163,753,901,100,031,570,417,383,197,271,985,477,794,220,186,
169,182,912,948,298,338,953,362,696,862,634,383,744,987,178,979,852,848,616,
695,261,317,098,640,488,380,392,772,786,017,538,072,167,858,348,879,718,105,
769,679,822,972,043,047,779,110,539,865,231,887,426,619,596,440,839,886,102,
552,554,701,995,762,563,881,398,530,342,936,502,501,971,103,743,966,146,800,
732,419,563,084,566,509,464,285,912,011,379,061,213,486,590,496,193,816,939,
289,895,988,196,327,193,406,095,833,182,177,230,438,421,476,353,319,353,422,
835,830,738,881,107,245,844,506,722,793,482,072,618,736,898,694,344,654,865,
949,211,347,721,878,431,931,539,345,500,577,350,570,033,456,841,777,589,543,
192,807,184,722,035,014,049,283,382,295,481,628,187,817,119,043,991,166,755,
485,772,146,360,046,465,737,527,113,544,110,408,717,540,869,654,685,026,344,
838,819,159,913,999,245,332,379,663,755,174,724,994,396,384,242,903,219,092,
505,113,224,960,912,688,400,783,855,083,698,258,523,906,589,361,462,547,009,
700,392,337,186,643,003,830,257,489,858,589,164,884,821,022,750,044,484,118,
167,763,367,866,589,117,092,238,425,646,767,503,923,151,637,063,435,917,675,
481,013,921,668,765,530,499,880,832,406,732,592,003,348,711,332,700,863,374,
009,276,210,956,881,168,479,214,172,787,960,251,871,148,266,171,690,196,837,
632,261,201,756,504,028,743,786,178,656,217,561,511,295,360,121,902,706,392,
638,414,334,319,989,861,156,769,264,559,403,445,567,039,242,120,043,210,779,
909,768,359,466,529,958,920,617,602,320,138,899,008,104,345,667,838,482,096,
170,969,762,599,882,335,037,300,569,162,262,768,231,328,065,971,487,150,304,
622,027,036,509,556,573,085,980,786,259,109,864,672,181,298,734,921,829,571,
097,091,338,120,588,923,289,484,100,034,176,446,283,440,435,378,342,105,914,
053,133,669,915,762,699,809,651,705,521,237,786,145,643,232,568,807,054,075,
992,800,183,402,338,407,953,894,807,116,507,647,032,469,700,801,814,645,689,
331,360,435,966,314,746,153,411,739,384,961,659,700,574,143,563,748,976,584,
758,947,024,058,429,992,130,670,644,461,162,491,694,065,690,205,714,738,914,
246,174,913,052,344,996,394,272,666,626,611,517,577,952,389,701,674,525,838,
515,811,414,542,994,001,595,460,915,950,653,651,088,056,321,403,123,789,941,
884,816,772,507,234,856,167,824,290,578,750,109,382,383,535,969,131,080,686,
415,340,471,220,869,081,663,460,222,482,859,936,577,250,129,910,497,317,644,
167,816,542,134,592,745,863,504,433,203,782,399,661,553,260,224,285,276,137,
477,377,179,817,131,266,000,897,700,392,558,304,677,938,977,237,050,608,629,
748,167,212,313,452,914,317,114,922,206,500,907,680,098,352,756,110,942,913,
820,247,111,538,936,093,995,990,536,857,628,327,811,816,237,334,910,542,831,
626,799,892,202,510,101,655,208,161,686,024,560,119,231,779,733,558,502,314,
721,744,333,354,100,398,332,899,987,843,245,021,764,896,467,424,695,535,494,
070,699,191,747,219,793,126,788,405,117,822,672,891,483,764,587,198,516,188,
420,941,376,448,558,290,177,476,907,461,253,832,384,541,051,733,177,834,990,
692,714,890,513,190,566,430,966,403,350,455,907,068,590,337,872,061,845,858,
484,036,099,309,650,696,493,386,265,308,683,027,063,038,297,815,242,725,701,
614,048,825,261,374,546,717,326,227,639,804,675,108,274,236,023,012,422,240,
492,554,374,846,499,668,157,852,156,083,014,143,945,798,496,881,504,337,518,
615,399,583,301,156,479,901,049,367,116,672,144,313,629,562,220,697,694,531,
136,283,345,427,425,882,565,735,190,860,729,247,707,816,610,731,956,509,998,
464,915,019,195,636,558,686,750,161,766,686,289,383,378,397,277,409,157,760,
948,137,692,071,551,728,167,878,288,640,041,207,444,821,558,387,900,426,532,
510,584,927,426,105,711,773,333,575,363,076,677,973,602,323,071,905,882,477,
164,880,101,106,727,335,273,609,397,894,590,199,198,529,614,644,866,560,720,
714,493,693,189,137,924,798,374,842,188,922,473,245,478,047,946,888,655,768,
734,289,697,873,877,128,008,111,950,533,246,255,264,119,989,710,976,754,078,
764,084,974,359,764,498,285,669,680,635,519,959,168,296,684,180,444,454,002,
043,829,441,004,825,770,171,098,250,136,323,943,912,825,525,575,191,275,691,
006,011,820,562,055,635,687,262,030,596,331,307,676,794,539,678,047,711,422,
866,188,382,431,437,831,631,640,862,846,235,150,720,637,845,965,910,042,006,
564,689,884,580,523,827,846,069,461,255,734,842,948,322,942,435,523,075,287,
575,030,363,556,448,584,361,879,369,925,824,052,534,566,211,437,875,483,039,
873,356,602,257,210,876,144,023,511,140,061,181,089,746,397,920,936,295,069,
553,510,843,510,748,598,507,528,476,701,227,438,572,064,783,214,780,704,398,
480,047,883,584,668,079,945,999,135,321,390,452,781,501,725,402,204,602,943,
296,805,330,401,036,318,407,957,471,913,825,485,159,918,145,505,751,108,261,
578,601,701,020,289,343,529,005,775,414,627,370,908,463,160,100,027,660,267,
341,409,297,251,427,645,421,029,981,714,605,864,115,132,773,316,061,537,086,
222,304,839,715,407,802,733,246,715,600,388,899,030,263,831,104,408,204,308,
763,179,644,897,760,028,032,623,182,373,349,145,805,825,464,261,092,182,273,
590,283,538,392,513,748,921,192,903,963,405,759,074,104,210,542,028,691,439,
652,463,628,689,135,527,735,369,037,685,915,796,977,785,353,580,526,260,316,
592,409,508,450,667,092,500,760,552,003,188,776,116,638,907,241,298,865,818,
484,433,075,668,803,750,915,269,648,462,662,968,296,818,557,587,197,121,152,
385,889,380,280,493,469,668,086,242,073,008,936,090,825,924,702,135,661,583,
702,157,497,544,054,125,427,478,268,168,760,938,184,442,243,759,079,931,757,
141,759,482,528,137,899,648,348,650,424,512,758,229,710,025,671,399,276,527,
992,222,824,363,931,995,482,402,162,456,645,741,812,615,264,791,841,055,334,
971,734,151,161,062,883,072,887,713,380,719,276,294,065,399,114,440,263,277,
272,316,146,949,861,173,309,206,828,012,959,890,940,998,919,454,848,480,679,
796,638,220,176,862,828,012,046,547,802,402,592,776,423,495,358,175,854,829,
577,194,262,999,586,891,771,727,577,654,704,459,084,605,044,349,788,564,261,
637,602,744,929,237,517,039,700,071,823,844,600,242,034,085,720,135,530,375,
892,364,690,196,138,266,435,058,801,286,023,036,808,618,784,843,674,910,077,
529,594,193,973,153,061,944,914,811,907,421,209,688,797,498,489,310,339,380,
794,593,408,586,857,519,615,333,122,264,486,471,134,796,369,237,067,237,994,
083,176,727,318,380,908,274,914,495,815,618,120,716,906,495,745,332,927,827,
286,536,494,023,588,336,282,935,872,052,669,521,147,897,262,415,944,952,819,
562,698,282,815,791,620,020,408,693,772,110,584,908,381,797,070,287,711,917,
047,468,498,745,559,305,952,776,737,031,654,521,953,755,858,315,966,146,415,
409,861,752,592,752,666,416,711,491,154,570,300,836,446,250,303,388,319,488,
473,728,804,892,336,977,759,163,255,480,371,414,594,133,046,891,659,922,418,
788,979,582,068,861,382,656,804,779,544,998,273,892,581,671,421,922,930,507,
663,945,804,310,632,899,961,832,770,981,744,878,421,677,798,499,786,138,817,
960,946,235,303,762,958,084,907,067,405,900,168,247,274,601,472,763,871,197,
978,542,098,142,112,693,733,446,092,302,502,259,626,071,988,066,942,765,202,
463,328,076,025,253,151,487,541,328,661,903,325,913,298,211,279,081,265,057,
075,670,745,570,106,814,933,336,711,991,159,222,283,563,209,082,116,500,028,
105,899,181,994,035,306,320,011,302,794,032,717,907,984,200,047,447,059,303,
692,368,055,996,743,981,917,287,953,712,893,779,069,670,321,345,833,212,442,
076,123,542,693,895,371,349,576,625,499,139,007,983,855,524,152,758,725,067,
769,029,129,559,711,376,697,955,058,295,780,335,479,415,291,154,951,833,481,
954,924,532,657,126,220,266,954,015,357,456,748,739,786,766,114,935,482,072,
447,343,708,692,011,481,290,130,172,196,882,686,675,247,358,073,230,343,903,
079,704,873,782,791,882,178,803,737,914,529,538,909,628,960,568,031,283,899,
169,790,464,426,941,175,855,637,759,013,430,076,704,549,341,913,679,033,549,
893,363,814,138,535,221,705,121,873,837,340,767,214,452,292,044,086,822,981,
463,821,221,209,703,492,981,591,751,122,097,374,723,409,931,752,100,654,403,
872,645,208,110,883,253,877,497,479,378,321,129,623,886,224,450,829,486,202,
623,476,933,527,541,480,224,378,082,213,558,483,472,330,042,218,392,002,926,
865,804,650,017,149,351,560,981,179,139,710,279,399,719,419,552,572,426,917,
957,611,410,151,725,855,667,803,561,367,788,305,756,204,969,403,540,825,794,
223,904,990,669,865,768,114,706,692,774,533,778,581,299,923,382,158,837,683,
090,945,970,004,025,038,560,522,145,797,248,086,767,397,860,846,405,800,336,
284,666,673,618,348,107,937,166,688,877,791,710,448,325,828,556,890,572,842,
788,745,746,251,250,578,019,142,320,997,621,145,315,077,540,465,174,843,367,
906,056,582,054,262,588,752,034,278,028,052,322,546,672,268,961,169,296,755,
884,241,308,670,005,691,990,985,099,345,571,639,811,800,267,425,357,197,764,
415,471,661,452,714,160,807,406,582,869,923,323,709,765,227,916,114,193,247,
459,324,206,928,962,404,941,388,444,303,047,526,688,835,152,159,178,654,608,
723,553,038,731,772,455,334,294,016,692,390,008,797,497,376,216,979,966,966,
865,584,815,154,470,031,126,147,836,923,222,124,397,476,015,110,655,890,057,
037,550,504,854,929,356,938,763,816,642,679,172,054,948,629,827,977,711,891,
319,125,551,264,848,538,890,549,029,049,368,573,015,250,984,525,752,424,175,
344,336,350,146,920,571,746,380,494,191,451,193,180,430,005,690,583,525,726,
286,395,196,181,626,004,663,654,146,320,177,701,871,693,464,010,490,772,701,
464,036,786,795,414,308,684,444,022,388,539,654,808,211,026,132,424,821,525,
509,078,072,224,467,019,745,842,991,141,130,135,344,167,743,366,417,042,255,
378,743,494,864,144,146,028,361,510,662,883,907,462,408,664,832,619,318,739,
951,661,643,202,301,911,039,771,406,030,300,726,033,443,941,399,413,088,282,
425,375,222,039,160,199,535,048,198,468,428,264,881,991,000,135,166,600,170,
974,484,653,814,365,839,653,528,084,836,851,679,571,745,437,600,469,758,207,
625,684,330,357,004,314,206,397,111,674,843,834,707,629,506,710,043,123,513,
261,208,858,614,625,120,671,686,859,577,972,792,136,928,916,534,073,241,825,
242,618,461,526,229,895,344,329,496,019,924,669,734,175,945,962,858,402,150,
161,812,085,922,323,896,239,183,612,470,945,014,461,718,644,626,547,017,495,
419,872,996,186,458,596,494,997,294,030,405,630,262,100,593,266,370,387,998,
182,826,665,407,959,072,797,876,953,347,451,579,542,903,863,060,850,248,589,
466,994,153,459,449,577,078,668,473,155,544,903,018,737,404,892,702,969,743,
653,310,640,931,348,318,122,977,996,273,844,810,557,018,454,810,007,181,085,
689,700,696,766,697,591,710,362,398,924,731,787,440,731,052,696,848,462,229,
369,310,521,427,825,468,294,793,676,386,085,112,087,518,698,297,040,698,334,
713,690,100,055,727,774,434,709,886,039,045,122,782,140,326,501,155,848,574,
758,231,061,474,546,575,321,505,967,602,694,752,210,053,437,743,852,012,761,
822,285,047,289,948,429,854,299,464,204,358,365,439,867,305,495,771,474,153,
118,604,898,874,691,462,433,629,266,746,122,481,853,778,992,377,198,926,518,
552,361,715,457,469,671,689,997,102,022,546,075,019,193,961,986,313,104,024,
462,947,807,614,229,758,894,500,301,437,397,930,526,235,457,989,281,797,454,
947,724,960,627,678,931,131,255,402,068,793,735,399,363,748,692,759,224,092,
521,214,870,291,916,272,774,166,834,852,732,713,528,414,647,735,317,526,737,
834,142,447,802,787,364,718,879,924,567,627,257,643,169,452,389,294,297,748,
906,482,093,804,761,750,962,158,381,967,398,842,100,851,527,784,218,652,957,
234,047,830,675,572,151,539,108,431,809,897,888,050,729,690,608,491,258,088,
856,424,069,264,681,900,673,294,389,232,215,231,111,419,176,206,078,618,066,
932,608,075,263,722,624,936,924,564,783,259,558,625,854,428,528,285,748,644,
642,539,717,353,452,885,707,319,082,537,457,562,580,236,738,787,252,435,732,
937,271,717,637,123,703,426,647,243,511,915,324,073,490,276,702,435,765,524,
801,256,108,794,837,861,637,178,663,952,171,159,074,084,410,344,242,107,873,
078,238,504,907,177,419,050,104,067,218,459,386,788,648,532,582,594,793,755,
983,144,853,401,115,251,667,776,940,928,346,234,090,321,060,367,351,930,848,
118,200,355,554,761,590,843,658,963,984,456,637,428,930,237,459,120,757,308,
280,039,776,112,981,004,128,419,524,393,398,299,873,630,633,879,819,140,851,
016,804,257,690,558,235,171,600,189,565,243,685,723,181,952,956,489,096,699,
323,699,866,595,477,768,784,530,967,268,169,120,005,609,418,488,004,850,644,
494,255,967,930,975,548,493,041,848,492,606,328,406,964,296,137,940,414,366,
350,671,939,967,033,664,958,971,722,319,046,823,465,956,907,929,196,987,457,
975,897,571,549,588,139,882,431,054,893,181,602,318,504,225,233,956,798,793,
631,659,774,807,399,213,952,969,180,728,294,379,273,825,329,736,970,618,608,
996,050,562,206,647,259,215,953,898,966,480,107,555,724,675,830,754,000,383,
838,637,616,257,297,742,398,665,647,606,958,642,755,249,381,543,205,311,680,
449,306,191,957,562,768,057,218,895,538,669,086,966,727,048,175,097,713,627,
381,750,571,394,899,799,816,324,837,054,810,960,964,339,758,238,132,751,962,
739,965,091,876,285,001,041,666,599,046,211,527,737,416,253,655,361,288,923,
811,896,033,676,005,444,636,919,939,722,293,902,797,512,450,465,821,555,482,
505,498,963,907,607,989,278,346,670,974,951,771,224,957,968,379,860,412,076,
724,239,717,471,449,901,473,881,938,578,073,402,590,915,664,526,597,568,821,
861,211,807,633,145,165,600,149,348,192,578,881,964,822,492,917,457,754,761,
124,637,615,087,810,987,913,615,403,360,492,615,937,336,245,147,041,276,200,
324,502,386,633,481,446,175,721,601,629,119,069,030,158,222,530,396,293,280,
680,308,585,744,197,274,540,524,285,606,358,863,907,695,552,824,705,068,373,
704,715,346,751,927,245,385,381,659,479,683,332,092,502,492,153,024,188,943,
879,729,422,667,748,679,075,362,291,479,354,248,655,025,112,405,199,401,100,
201,136,424,697,796,809,463,125,394,855,937,539,987,797,193,840,686,995,399,
736,669,944,639,904,220,413,860,413,352,364,872,168,344,825,026,915,240,146,
363,556,383,863,868,905,402,550,826,664,510,235,600,929,311,726,606,628,427,
928,688,862,610,301,413,987,285,584,968,580,103,019,151,819,284,922,319,817,
317,924,981,579,343,071,457,589,521,504,836,546,870,009,139,695,011,285,473,
406,378,566,360,662,412,688,356,846,427,297,839,582,958,667,643,294,061,446,
863,135,844,263,087,100,742,132,802,514,855,134,997,144,964,944,815,645,199,
116,228,094,928,818,248,268,615,563,766,047,128,322,958,334,805,063,157,918,
545,407,243,170,206,112,414,195,418,030,032,560,271,506,701,773,871,430,915,
498,019,716,871,526,024,596,090,334,385,627,744,940,334,799,704,478,058,146,
499,020,377,015,674,547,961,489,629,542,145,441,725,168,498,553,493,286,809,
165,535,033,774,356,279,078,046,598,619,067,046,424,280,276,051,124,309,032,
187,617,443,560,580,228,083,771,268,065,880,984,511,384,474,228,144,502,142,
815,290,625,534,485,580,516,709,722,289,566,133,943,840,022,146,471,507,840,
875,725,252,170,528,920,687,343,064,829,729,185,352,794,089,035,313,490,031,
634,289,693,407,165,100,151,789,084,360,977,012,067,473,588,729,031,207,608,
859,743,970,799,687,178,124,272,872,171,177,596,562,317,047,264,913,467,569,
263,235,909,061,729,584,784,119,957,593,441,173,150,393,149,545,732,551,263,
549,302,755,697,585,379,543,084,357,577,852,552,592,693,074,935,914,114,768,
420,354,844,315,998,355,404,737,767,197,702,627,396,795,138,659,394,426,207,
352,451,312,626,371,511,451,089,702,352,410,147,561,310,619,617,564,355,026,
980,487,154,292,186,049,487,614,754,473,631,398,824,018,178,085,790,935,600,
227,402,070,028,231,976,239,858,642,003,806,928,604,536,984,549,287,182,361,
049,316,934,041,450,221,884,873,104,759,168,293,102,832,476,711,107,652,216,
121,756,121,847,649,460,735,041,949,656,612,333,324,177,214,605,732,766,140,
868,206,439,169,609,831,471,801,380,987,314,181,600,556,633,743,214,731,719,
268,199,509,881,012,172,206,979,090,735,912,629,694,014,366,521,633,900,571,
032,821,553,896,871,871,585,522,308,986,450,190,010,106,692,957,212,762,406,
419,451,265,674,382,834,996,606,943,960,622,524,375,170,531,420,454,150,063,
238,120,700,481,538,842,570,729,860,884,903,404,594,193,384,378,068,906,784,
246,581,196,493,258,695,472,451,017,914,333,808,629,343,481,030,920,152,288,
223,086,661,416,043,420,092,618,183,115,315,140,497,348,271,175,059,464,335,
498,470,147,947,089,671,465,850,947,156,135,392,759,343,368,375,451,814,949,
591,381,335,231,047,598,955,617,134,645,790,538,639,264,091,028,445,562,347,
979,638,412,129,582,366,369,118,869,160,246,269,333,760,305,312,793,030,048,
579,157,644,409,726,313,456,357,474,134,780,613,924,913,861,594,417,442,849,
753,905,203,932,246,986,279,051,773,351,821,034,895,337,738,832,413,521,282,
876,273,727,128,490,918,864,631,424,424,424,318,346,640,298,579,332,524,116,
993,886,430,480,908,293,201,432,099,650,170,451,298,333,437,035,972,188,220,
838,725,197,287,360,967,513,546,646,066,853,002,594,403,415,593,450,543,578,
865,973,433,020,889,086,269,359,094,807,873,844,751,453,186,374,631,107,921,
939,749,982,911,976,277,923,057,174,608,115,569,114,987,741,091,397,553,383,
895,085,333,416,069,166,869,587,091,913,435,255,793,961,646,684,237,012,791,
146,919,682,995,032,919,386,650,265,450,386,981,212,050,368,005,253,383,561,
469,888,274,360,517,368,512,089,643,637,050,874,164,945,673,442,462,137,479,
211,359,350,922,483,228,129,095,765,080,367,617,964,687,635,495,047,469,832,
434,020,801,782,062,384,430,041,215,241,353,282,692,555,289,640,958,576,360,
588,957,358,959,329,824,831,009,310,735,331,928,218,105,578,779,543,045,390,
363,308,545,209,518,232,185,244,426,215,819,331,855,859,109,022,610,286,959,
102,443,102,454,617,183,539,181,417,382,824,459,952,162,491,790,762,431,218,
702,236,086,392,845,790,910,824,966,921,762,113,086,169,142,591,102,884,798,
941,417,628,939,668,431,087,387,120,571,644,769,032,399,349,689,669,616,320,
625,145,812,088,368,447,432,820,630,532,134,267,875,526,479,951,820,923,043,
042,046,897,947,962,600,348,349,354,447,006,439,704,504,076,379,995,849,443,
452,255,049,308,358,677,894,878,300,060,739,306,938,206,392,225,193,904,249,
854,963,136,158,234,927,130,707,414,235,954,210,385,767,113,773,869,682,232,
143,937,193,851,301,918,947,341,679,051,934,557,517,697,892,021,700,147,358,
592,512,597,382,987,753,899,917,130,643,651,324,297,336,803,090,401,267,189,
146,012,507,339,963,237,990,738,997,205,833,946,091,658,457,957,071,404,793,
763,404,418,808,671,373,497,481,056,402,376,773,040,815,698,401,102,578,716,
742,629,779,718,928,361,037,145,229,252,542,612,008,164,127,492,315,629,363,
159,068,176,634,919,037,181,612,486,713,093,041,556,562,921,634,756,439,597,
317,818,901,593,374,743,756,446,568,054,996,630,167,693,467,594,469,194,414,
641,453,733,736,573,132,058,044,567,151,607,955,467,615,628,114,284,523,468,
160,983,970,579,119,535,616,015,697,229,654,174,880,952,303,861,205,350,245,
181,639,495,001,261,972,352,480,000,272,911,542,103,852,090,097,644,211,906,
566,008,196,616,853,006,318,136,440,403,365,483,900,029,734,048,892,971,996,
866,305,958,136,456,125,731,165,675,461,169,367,508,728,221,278,902,481,032,
344,279,597,272,356,148,728,523,532,595,028,410,736,279,652,841,555,260,118,
180,155,429,868,287,609,711,142,983,904,449,240,006,521,656,819,796,076,975,
036,506,475,207,112,458,094,761,827,281,316,609,818,505,281,905,331,071,888,
440,799,814,816,535,689,293,574,439,215,605,802,150,207,853,161,970,854,822,
859,667,816,679,598,211,920,155,852,068,604,557,499,889,955,791,479,635,690,
137,232,261,693,036,556,510,023,484,570,373,589,893,417,542,602,964,783,147,
366,132,637,226,019,024,379,719,092,121,975,913,391,589,819,799,137,347,909,
680,813,944,753,070,572,728,668,171,360,698,045,643,036,482,238,618,167,218,
809,453,710,392,713,652,392,297,409,681,367,342,658,328,417,653,957,870,034,
104,415,691,891,903,888,852,594,044,238,439,384,005,455,026,243,299,303,871,
705,740,966,595,491,184,982,196,781,297,914,445,719,311,172,814,058,741,140,
221,089,834,183,232,159,764,779,896,750,201,826,910,915,899,440,758,062,689,
443,540,012,773,674,073,638,364,357,935,011,032,890,305,295,710,005,962,950,
553,707,611,178,120,324,585,808,307,651,075,093,208,645,448,928,889,607,358,
635,615,917,630,262,561,169,409,216,406,114,540,811,622,831,962,446,063,614,
782,869,111,526,955,274,431,614,965,023,100,154,274,508,737,185,179,679,725,
320,281,248,508,083,289,248,661,326,786,422,707,210,814,443,525,434,633,665,
843,119,629,959,866,917,336,354,432,677,506,380,883,574,145,016,140,197,071,
337,463,945,777,366,288,852,336,065,207,892,925,892,876,454,315,206,089,486,
405,401,708,996,203,938,927,759,417,375,252,281,431,421,206,769,167,218,873,
661,365,607,351,833,854,264,398,286,774,203,699,108,148,506,806,470,029,037,
846,377,985,173,419,210,603,306,690,962,086,869,432,875,316,116,414,454,732,
213,606,819,091,617,282,255,396,996,035,224,180,310,861,453,582,606,896,541,
114,993,787,645,872,575,026,391,302,923,223,470,868,054,492,812,663,890,970,
858,548,543,252,146,780,650,577,519,137,805,687,427,153,227,670,371,984,163,
948,316,344,920,439,424,693,531,114,634,443,676,683,099,197,748,282,181,685,
456,690,801,676,469,993,545,752,916,573,703,346,929,721,010,761,162,736,848,
505,208,374,929,682,090,641,005,304,672,147,754,958,105,316,646,819,533,212,
518,122,369,701,974,519,383,871,306,152,189,878,843,766,589,090,180,652,487,
503,330,031,959,292,976,656,932,337,681,136,438,976,719,235,549,063,524,690,
077,416,826,784,656,695,715,758,305,400,723,103,989,667,044,049,234,461,567,
377,842,556,155,049,272,309,188,207,801,252,027,914,600,215,304,977,940,498,
250,752,369,658,796,347,620,386,171,106,374,095,775,373,688,858,706,271,966,
476,094,820,855,076,843,393,099,815,687,747,871,705,909,327,483,163,248,124,
393,615,544,295,696,290,063,611,757,377,152,790,836,268,646,624,206,236,537,
444,541,035,812,575,885,390,222,917,515,563,968,432,821,655,914,580,501,494,
411,956,076,811,348,372,726,436,137,449,309,248,970,234,023,013,553,716,931,
288,878,406,314,699,706,788,966,725,783,761,799,304,558,381,210,443,578,102,
770,048,512,660,917,367,922,522,696,375,189,534,257,050,523,618,686,993,318,
933,015,412,158,692,218,193,344,030,285,990,302,414,355,377,897,525,005,266,
200,838,628,143,527,732,032,979,564,897,641,677,430,700,510,820,968,056,937,
611,423,093,267,088,684,747,437,390,464,979,741,717,286,204,744,890,052,359,
495,871,731,401,844,317,890,931,203,308,003,940,881,293,930,198,153,790,494,
142,229,405,449,215,233,915,348,850,352,639,990,850,508,962,726,335,399,609,
196,816,518,262,798,644,523,827,958,865,258,189,870,440,692,271,486,953,851,
570,273,054,744,592,131,952,149,348,736,654,154,655,303,013,588,424,479,455,
952,899,468,902,146,540,777,924,330,125,472,789,249,337,757,651,897,375,131,
906,878,149,095,669,001,529,161,691,348,940,750,562,590,055,387,913,398,291,
563,646,730,099,591,473,600,083,804,776,334,876,339,428,422,224,607,150,361,
044,014,744,182,731,004,838,184,056,171,534,628,920,355,557,229,870,365,593,
671,920,706,256,579,199,096,080,289,230,372,670,790,475,306,623,478,130,673,
496,457,050,503,248,560,043,273,204,788,306,456,165,082,893,494,518,434,617,
198,815,938,886,960,753,306,395,013,235,438,085,108,507,515,608,732,314,452,
938,399,660,335,692,587,255,265,933,750,374,570,246,914,628,049,115,794,095,
172,388,312,819,936,276,396,254,079,065,815,600,234,567,680,770,265,415,756,
909,267,386,129,931,895,616,877,523,684,041,592,430,221,766,985,629,315,515,
344,534,962,493,756,512,038,194,360,276,706,478,991,199,793,739,367,479,640,
222,574,714,378,281,558,573,920,629,833,100,653,589,205,458,157,441,231,786,
950,282,244,367,005,894,995,203,556,354,299,574,709,439,049,663,720,019,910,
152,588,701,959,746,602,872,546,348,841,322,938,230,002,161,682,396,791,473,
425,401,288,028,945,894,371,023,513,355,793,630,249,862,490,138,986,812,596,
914,369,985,530,290,566,513,970,117,147,487,686,560,067,382,157,567,323,934,
586,859,250,449,786,325,986,793,471,409,831,039,110,173,485,331,380,596,485,
977,263,806,468,648,159,106,632,061,159,752,056,449,308,423,519,029,125,492,
732,916,404,433,857,022,238,615,277,104,379,965,965,159,054,975,451,738,602,
132,261,007,422,904,520,564,804,525,433,890,162,427,312,855,076,174,803,588,
937,022,530,032,577,775,935,429,697,531,416,071,552,403,711,086,774,123,225,
578,061,089,205,269,422,577,504,249,820,323,498,883,340,618,351,605,356,452,
817,160,326,936,626,011,929,937,133,446,642,869,013,132,844,920,517,145,581,
794,522,848,854,029,973,506,748,276,154,011,853,427,528,093,360,613,181,324,
613,798,154,484,835,003,093,326,157,822,306,321,700,822,245,668,264,214,692,
181,596,785,548,890,244,957,243,549,413,897,805,979,185,992,916,297,207,789,
109,875,305,380,160,281,340,412,638,741,359,530,879,687,105,079,821,817,094,
082,218,108,165,676,722,283,233,917,879,819,309,181,231,126,397,574,149,108,
122,660,123,723,140,213,351,992,442,524,253,196,437,755,893,327,692,686,583,
537,848,762,291,975,605,917,331,939,861,873,423,188,588,287,628,672,691,674,
366,818,500,573,717,239,883,499,726,618,431,528,364,180,512,535,826,647,718,
157,375,959,445,100,242,797,627,089,351,668,567,601,537,941,248,534,626,471,
799,960,754,072,472,498,762,926,307,435,548,839,072,218,006,774,747,107,943,
397,883,363,735,662,500,339,329,323,998,961,845,224,509,942,446,657,177,664,
064,465,637,540,453,096,901,351,325,227,182,035,300,559,565,477,123,496,537,
578,437,234,822,297,672,094,447,510,710,818,340,154,711,270,473,959,418,574,
247,908,003,526,620,226,580,713,214,896,413,755,528,773,614,652,937,656,658,
701,863,587,997,356,363,763,909,262,107,936,286,835,186,086,766,148,582,290,
614,432,272,867,350,149,841,369,058,255,039,094,773,039,092,298,961,050,639,
605,040,116,299,465,118,272,960,045,979,907,489,710,360,635,709,631,967,645,
334,376,426,521,972,394,166,452,488,902,042,258,296,030,173,387,710,099,550,
204,440,439,079,589,689,158,317,701,204,624,839,090,753,754,255,111,883,216,
029,106,663,888,615,753,950,860,131,963,023,687,859,568,913,419,695,265,949,
645,726,059,885,272,827,571,415,815,259,570,976,190,211,661,113,406,320,549,
610,082,070,523,553,668,654,877,999,736,930,704,925,243,184,786,795,755,233,
101,820,572,899,973,147,423,168,137,984,374,565,612,651,207,462,260,178,391,
258,516,199,710,955,493,350,659,467,494,547,015,175,910,872,448,405,504,173,
211,553,303,458,105,728,739,110,747,011,209,456,752,835,403,506,107,510,676,
218,032,160,301,412,263,170,041,126,512,031,777,007,322,055,780,187,372,243,
528,695,608,950,901,656,861,792,719,295,069,258,282,541,099,275,151,588,640,
220,317,094,284,115,570,872,484,518,227,601,597,575,970,443,748,331,105,587,
710,300,350,039,906,870,793,001,864,018,680,681,491,929,505,550,816,430,176,
701,496,232,343,084,173,674,851,178,754,498,502,205,391,180,285,113,280,575,
262,443,031,838,990,624,727,432,629,491,243,652,611,236,805,355,185,820,977,
577,843,974,743,657,354,648,406,003,343,511,319,533,773,663,821,897,845,548,
914,479,341,965,540,756,203,145,106,689,016,761,067,475,549,330,077,249,116,
942,527,908,045,245,880,439,827,588,330,429,505,223,176,686,945,667,355,134,
740,273,310,091,031,752,242,402,500,460,189,598,741,142,640,482,146,270,778,
901,487,686,173,178,222,745,668,906,614,403,078,081,099,875,807,073,870,370,
356,354,618,494,214,147,973,984,289,848,718,842,000,822,753,071,294,249,709,
651,716,270,517,237,234,545,978,424,885,399,597,708,837,713,297,889,303,859,
739,162,307,251,381,915,858,754,155,071,029,829,508,895,294,969,737,004,938,
440,007,344,579,491,704,788,248,987,188,850,159,979,534,669,591,647,416,569,
326,821,203,714,817,212,719,688,876,258,080,747,488,293,215,938,686,341,219,
485,508,667,763,718,840,019,169,521,098,354,999,365,358,714,474,799,208,527,
250,116,301,381,201,831,455,109,183,608,939,107,383,914,954,426,807,220,793,
011,842,768,399,227,102,121,397,907,217,548,633,055,786,905,532,421,602,323,
592,551,442,922,550,951,091,559,195,419,792,819,108,272,108,593,706,083,076,
526,627,427,484,925,413,442,322,301,685,996,140,391,433,614,287,031,701,049,
774,891,699,999,812,887,575,967,085,676,501,014,445,527,515,335,981,079,288,
133,720,338,879,900,802,039,072,740,221,741,353,294,394,197,518,549,737,916,
081,559,226,748,823,962,822,047,983,807,473,847,598,340,018,215,589,022,342,
347,791,293,140,701,710,955,652,094,978,203,779,435,045,975,313,785,078,404,
835,196,669,989,954,290,235,222,096,406,330,470,409,324,372,066,786,702,108,
628,005,915,705,686,182,583,370,014,372,631,420,712,640,711,488,807,322,665,
125,944,630,300,893,370,118,950,407,320,914,968,211,669,428,055,419,890,981,
401,053,222,093,987,416,544,194,925,007,772,808,379,200,898,322,323,241,730,
518,775,447,543,379,963,168,650,355,220,331,846,109,975,462,794,731,414,530,
374,430,811,057,906,463,312,371,985,361,566,544,871,302,536,519,324,337,641,
726,462,663,001,703,342,896,048,268,523,813,338,970,542,529,626,739,276,132,
756,044,194,103,943,876,610,905,248,979,734,416,462,282,587,438,209,429,599,
592,393,154,237,391,456,351,053,395,671,852,997,525,214,794,623,418,664,995,
554,085,713,450,457,105,010,776,346,717,981,365,378,734,696,928,790,683,965,
927,842,686,684,467,373,900,950,938,806,561,024,042,242,960,555,815,203,423,
985,743,784,201,135,229,519,787,062,186,487,083,114,154,721,805,038,867,022,
036,630,596,585,168,876,487,691,500,826,344,764,975,316,278,137,573,405,188,
115,770,340,681,661,075,279,049,159,020,850,010,423,761,351,198,576,263,604,
901,264,341,113,633,803,872,098,921,689,231,848,369,557,243,552,933,062,026,
097,789,359,373,402,388,567,499,593,895,346,999,860,370,703,328,044,803,576,
609,964,548,712,727,617,973,251,342,975,247,667,548,531,796,436,677,051,856,
200,902,146,915,805,124,140,099,213,695,926,771,404,763,539,481,394,390,057,
629,708,048,301,997,997,719,245,907,135,349,236,600,717,265,965,217,062,277,
794,813,219,552,085,221,054,071,358,012,651,735,207,496,759,831,993,335,267,
989,219,666,784,107,870,540,947,322,314,530,505,416,306,036,267,394,471,449,
050,875,379,500,530,129,681,656,426,634,949,947,603,974,625,422,710,641,970,
639,395,967,532,262,241,344,760,176,582,412,954,073,499,606,467,233,344,890,
887,623,566,675,204,818,450,280,833,799,584,526,213,067,829,587,173,276,533,
106,126,115,073,827,425,634,716,863,336,889,769,553,493,811,830,719,327,759,
271,424,913,656,775,131,893,905,435,176,263,401,908,465,161,698,655,222,604,
932,504,457,500,606,338,842,432,220,782,868,567,908,215,224,549,005,529,771,
307,164,535,638,184,168,262,714,833,576,550,954,185,650,372,157,919,054,173,
720,335,449,894,764,603,139,149,257,752,139,839,113,601,917,571,315,274,509,
536,310,675,495,707,202,138,581,882,060,831,138,453,575,159,936,371,342,934,
132,082,214,406,210,343,750,796,880,381,703,156,085,544,744,356,453,697,164,
136,903,982,452,206,402,096,313,117,780,469,572,984,758,772,596,599,501,721,
908,375,124,149,802,441,139,807,839,807,006,382,049,757,578,374,069,068,706,
988,596,538,187,485,434,642,173,220,906,259,486,258,850,093,449,733,010,215,
081,485,997,691,712,153,142,554,779,697,674,658,083,361,462,863,223,098,156,
712,496,671,127,516,765,109,354,462,962,346,045,758,016,551,119,559,093,725,
392,375,758,583,061,477,332,201,119,189,499,577,696,988,235,908,740,225,063,
174,631,005,559,098,840,002,648,205,176,869,007,580,666,490,995,283,183,331,
137,521,533,737,656,487,705,392,173,268,269,136,213,106,992,918,237,998,778,
212,383,981,016,142,507,545,457,058,621,892,430,190,761,271,922,839,659,251,
547,847,605,943,907,596,147,652,118,306,591,733,070,310,677,359,174,851,727,
149,138,746,142,163,475,616,852,157,153,464,945,591,375,966,223,638,536,479,
455,708,933,586,235,327,502,321,455,308,022,977,137,281,413,034,365,935,731,
628,032,047,036,457,421,240,475,156,952,326,366,552,305,330,156,384,033,853,
468,272,543,509,572,243,186,790,856,805,993,276,898,093,754,724,270,426,716,
302,316,098,207,672,127,211,043,653,375,557,443,842,123,318,796,616,714,702,
753,114,936,550,513,079,713,586,164,035,758,627,795,253,223,157,518,337,200,
999,118,472,035,139,853,966,359,459,726,115,534,264,768,300,429,183,947,069,
240,660,743,478,185,785,746,686,884,812,691,544,132,324,728,287,124,294,990,
680,179,413,442,131,537,005,076,748,221,699,089,466,003,208,199,149,413,216,
406,271,552,782,271,736,381,395,589,210,327,857,763,491,836,249,967,412,544,
798,810,313,563,033,227,939,256,223,014,946,723,048,665,384,417,833,525,591,
557,250,189,680,303,925,363,216,143,791,750,301,007,215,986,706,322,041,371,
319,601,424,463,240,699,588,152,503,468,622,553,860,786,158,890,903,209,090,
632,364,337,978,876,062,392,659,314,121,062,239,062,272,445,333,956,586,586,
783,106,620,277,510,128,512,191,175,610,063,649,765,012,422,249,035,830,012,
729,420,786,755,263,966,378,357,512,569,971,691,290,024,721,428,710,350,480,
855,966,258,813,253,893,920,696,497,872,186,814,073,613,147,239,717,088,276,
181,781,748,771,594,765,701,284,878,039,395,141,974,431,185,341,239,747,857,
000,843,062,185,487,770,761,304,676,524,906,773,972,122,148,562,123,345,519,
106,529,198,372,618,189,525,165,620,472,003,843,889,451,864,260,700,605,261,
706,555,591,295,627,055,756,318,210,933,819,821,290,846,141,045,855,814,321,
325,530,933,562,641,891,029,534,186,611,542,818,917,870,629,307,469,710,098,
140,374,651,116,561,334,818,944,603,061,311,004,997,864,569,770,461,646,791,
801,139,213,945,324,689,500,322,596,523,916,142,012,889,658,789,098,269,039,
745,807,107,284,657,267,496,146,564,921,737,519,995,763,371,428,243,197,133,
429,336,301,221,268,654,571,279,776,279,665,946,320,315,653,124,638,737,614,
346,405,653,292,032,146,773,618,210,967,345,916,742,238,274,286,915,660,735,
420,620,309,995,362,402,660,694,946,307,213,221,596,648,932,762,893,558,527,
208,527,098,713,520,259,721,097,478,970,538,622,507,198,966,556,484,774,163,
488,586,630,065,696,277,218,385,950,763,760,602,830,167,534,378,727,895,794,
293,667,357,453,058,982,445,449,292,353,995,633,319,915,579,375,716,615,695,
486,296,948,029,015,070,110,459,835,946,979,484,130,405,097,408,411,689,989,
241,343,840,134,756,266,498,894,672,554,879,924,551,981,043,313,770,713,647,
144,409,545,423,686,783,032,501,532,184,687,628,845,247,000,093,691,747,683,
759,573,103,895,345,791,338,904,775,539,913,797,674,001,098,365,418,395,900,
081,509,246,678,556,366,892,215,049,772,568,965,339,788,922,972,143,622,833,
898,611,086,482,980,753,417,719,256,269,896,267,517,387,350,213,446,498,873,
870,558,244,124,923,983,151,006,634,788,311,334,043,635,382,315,685,048,058,
485,660,682,368,527,293,903,043,016,785,181,832,585,356,509,426,701,845,590,
599,400,822,004,527,907,434,481,134,006,851,311,289,715,057,664,142,773,195,
108,246,863,887,982,588,143,993,368,252,902,939,075,897,682,379,908,634,576,
012,939,654,109,370,792,029,718,073,666,662,744,151,869,735,402,455,185,462,
633,550,247,345,500,435,431,574,667,450,087,042,085,684,358,070,140,112,900,
959,248,368,591,327,297,628,671,313,246,576,562,634,205,551,143,073,568,584,
694,762,607,021,906,662,000,880,125,611,027,974,738,927,524,938,206,825,227,
140,111,833,009,077,846,863,088,351,119,813,213,522,284,513,409,319,519,804,
805,706,006,233,678,688,410,237,639,794,218,222,907,141,885,335,987,360,216,
886,858,103,185,919,753,558,623,000,567,402,065,947,233,372,806,421,418,085,
948,708,448,428,884,727,585,550,986,946,496,430,124,728,248,187,394,643,793,
730,093,682,664,219,532,211,206,549,096,003,142,852,710,225,604,571,572,058,
889,206,422,612,060,168,726,610,600,896,902,788,256,486,857,087,302,976,511,
666,498,251,077,981,183,099,213,274,984,039,441,462,682,514,200,255,574,650,
005,824,959,548,603,400,685,706,714,172,686,381,647,790,646,924,939,337,488,
789,250,790,699,897,485,360,076,387,145,595,366,449,592,806,114,468,777,950,
995,331,649,406,721,549,753,747,826,515,274,261,254,602,638,879,205,218,051,
677,287,434,081,631,640,849,476,677,412,330,713,934,515,746,737,316,109,443,
083,511,595,383,911,810,084,743,226,351,095,214,037,594,858,560,979,198,251,
225,865,867,140,658,919,680,601,468,229,697,295,267,127,814,443,451,627,936,
254,967,300,275,152,277,128,470,899,343,564,880,852,111,108,470,450,593,135,
540,035,866,025,360,390,500,798,407,556,044,320,820,693,919,363,949,211,249,
263,992,696,439,499,303,967,271,290,855,941,698,622,841,907,882,466,141,200,
756,856,703,507,529,991,300,656,110,979,507,325,567,830,692,199,811,161,311,
022,513,642,637,819,629,606,782,732,674,985,922,261,198,342,548,135,491,109,
050,712,488,035,800,599,959,843,463,900,827,786,690,347,317,416,917,127,727,
671,945,774,619,295,325,004,693,019,905,961,802,991,471,062,587,839,274,947,
169,073,224,581,446,412,448,035,398,422,573,337,496,986,521,592,026,600,114,
758,415,656,763,076,738,735,558,558,456,737,258,891,568,256,507,872,662,778,
933,077,292,792,050,457,109,883,257,372,864,084,236,450,139,172,880,380,306,
931,658,159,363,799,365,148,731,335,690,618,868,468,899,916,296,757,366,718,
856,245,290,116,515,840,300,558,390,210,149,417,819,485,405,243,063,909,253,
862,602,917,868,961,465,394,443,883,456,201,175,086,856,588,314,212,036,661,
728,358,274,555,193,459,171,660,080,339,570,242,085,291,253,140,159,411,449,
214,853,355,203,530,246,010,376,839,015,514,310,360,208,949,419,870,963,080,
207,747,622,437,376,600,868,393,907,626,529,657,400,471,093,926,239,142,040,
403,106,750,855,529,529,711,288,668,648,729,031,393,611,758,045,620,208,962,
723,648,507,744,715,616,718,470,933,739,352,721,243,215,980,299,059,014,277,
659,748,075,568,967,584,672,579,207,235,452,424,461,319,472,864,878,724,402,
774,947,040,079,942,060,879,148,077,083,443,496,620,986,728,679,130,146,243,
537,759,269,019,969,544,913,131,117,653,054,575,565,211,226,363,960,085,415,
633,324,472,469,960,489,815,326,994,007,156,163,847,434,207,116,289,935,864,
985,787,657,421,080,080,416,049,644,904,617,013,101,617,648,400,605,151,892,
581,974,337,030,808,340,654,921,335,143,400,340,704,493,327,612,144,489,126,
412,817,194,613,015,575,805,091,672,129,205,223,868,272,785,476,765,293,350,
879,872,662,627,417,543,325,969,758,514,504,891,208,637,136,852,965,160,052,
546,126,941,092,027,621,213,494,151,225,240,875,819,581,535,209,896,160,137,
543,638,038,295,416,853,401,477,029,271,579,748,209,306,224,378,168,611,750,
827,988,468,577,111,593,184,883,310,411,702,726,679,792,565,027,669,804,150,
294,137,137,933,497,853,364,852,464,400,787,135,687,476,843,129,105,403,190,
134,066,142,606,872,123,013,610,790,801,964,905,356,592,287,281,163,503,228,
458,319,937,384,737,807,592,990,518,303,387,902,642,577,419,622,653,280,937,
734,402,835,620,861,240,501,966,795,846,530,186,185,039,443,407,745,213,163,
678,871,841,492,689,981,513,092,468,331,600,346,374,206,093,010,402,639,333,
014,179,282,369,754,243,913,395,485,689,188,692,703,690,081,193,168,433,166,
718,785,380,359,032,044,021,633,574,108,476,195,588,527,511,223,606,006,501,
162,353,171,830,103,740,651,026,135,982,686,197,568,541,610,487,890,912,322,
027,393,309,994,417,026,814,150,568,492,076,075,394,018,148,170,199,283,353,
683,574,698,421,302,261,723,422,704,896,036,988,445,505,862,292,737,724,111,
496,604,545,196,030,458,141,724,837,024,790,518,052,064,559,536,648,770,208,
371,939,084,605,043,327,959,041,821,167,813,809,100,030,226,033,684,261,488,
050,114,409,105,611,859,072,280,726,336,790,526,851,853,556,886,434,463,150,
533,242,667,794,714,636,655,293,901,642,136,416,258,118,571,974,698,579,992,
559,072,297,802,605,562,506,136,726,583,235,809,666,077,974,690,836,578,734,
455,167,833,341,306,641,330,444,688,341,335,276,735,659,458,709,188,469,062,
710,247,577,601,765,988,929,927,925,666,890,410,029,480,194,243,070,586,130,
515,587,550,965,622,768,364,970,096,954,593,903,330,566,228,959,607,337,898,
851,634,375,841,078,976,476,371,164,399,600,848,166,796,284,046,198,328,862,
352,057,740,700,144,816,877,869,880,002,300,197,004,601,407,761,516,827,029,
759,269,187,544,429,491,614,228,878,975,850,865,157,846,017,430,654,482,237,
186,616,278,573,291,783,746,711,354,455,436,034,899,866,045,164,470,904,978,
626,449,050,370,298,332,879,428,783,156,662,889,019,207,945,492,237,689,646,
197,837,989,502,475,875,559,358,253,589,979,640,468,726,325,509,595,606,315,
923,313,186,189,451,258,061,598,870,358,939,202,252,668,469,776,773,339,251,
611,484,081,657,110,792,815,230,851,940,416,331,742,355,093,723,700,897,601,
317,091,027,409,948,459,105,356,069,467,496,770,778,987,849,537,942,169,264,
760,865,275,814,295,199,648,658,546,734,420,603,756,947,203,117,946,380,711,
194,993,402,709,219,062,399,919,815,940,483,527,739,475,199,055,750,437,687,
597,650,834,470,665,274,573,313,880,900,454,740,903,571,177,945,549,403,309,
616,033,344,520,797,644,493,648,701,838,795,263,129,271,911,039,062,777,037,
215,368,158,234,581,209,024,521,150,376,940,127,290,551,649,026,668,834,940,
943,117,171,433,672,131,243,126,897,919,430,862,231,011,340,758,728,542,210,
210,187,473,722,183,889,953,984,063,250,239,084,286,225,922,210,763,739,807,
833,868,876,493,365,258,838,124,948,635,633,355,367,579,053,105,395,543,236,
809,806,670,686,576,626,594,800,159,825,083,512,768,893,893,386,321,250,062,
202,512,289,004,023,786,730,582,001,742,687,759,782,185,081,025,454,653,480,
648,022,895,514,415,924,362,012,667,510,973,113,032,133,796,936,727,043,860,
861,357,444,957,213,730,669,468,327,072,880,332,427,976,986,534,637,376,838,
237,171,496,364,867,955,769,475,139,084,941,792,238,314,984,472,192,738,064,
687,900,243,199,146,911,796,916,154,665,493,380,067,041,716,997,132,049,002,
904,200,813,790,132,869,847,169,967,200,663,537,610,666,967,975,498,882,706,
437,089,041,970,532,381,244,416,070,733,723,639,224,698,419,856,042,478,644,
973,642,710,841,303,457,953,127,483,165,519,420,915,074,898,848,683,294,433,
949,865,594,933,780,253,535,261,554,884,535,378,492,272,802,434,597,648,866,
733,862,760,792,895,963,280,201,015,943,930,037,472,195,584,321,375,955,330,
148,122,982,545,557,939,399,855,620,377,977,855,843,334,912,665,743,503,457,
841,565,548,493,344,250,777,125,857,004,649,703,477,671,664,736,024,062,863,
152,990,748,062,364,043,402,273,741,865,671,924,183,623,697,439,114,312,453,
724,394,824,854,317,808,441,227,805,583,144,103,171,572,083,164,797,662,611,
138,025,372,917,357,393,454,829,107,461,667,953,531,707,083,849,870,722,074,
192,604,791,191,196,058,751,436,928,853,660,381,894,633,235,374,339,914,196,
093,564,749,664,552,584,298,453,658,978,707,664,430,099,173,393,358,730,425,
691,756,382,566,221,211,176,998,415,255,368,070,439,776,534,504,417,988,386,
669,909,959,972,586,126,360,537,978,801,298,342,960,560,019,654,296,942,975,
237,968,587,328,980,388,381,814,757,782,366,637,255,674,054,188,533,054,613,
222,275,263,526,318,357,724,855,380,917,205,196,141,880,754,007,426,666,809,
274,390,135,204,762,364,475,395,339,172,705,049,527,738,555,891,778,084,813,
363,260,864,944,759,194,773,858,265,243,118,977,140,400,824,086,031,358,433,
123,690,819,527,932,057,716,292,617,464,691,339,363,994,686,481,954,621,128,
802,068,230,024,484,238,592,868,548,102,921,025,236,348,446,657,642,302,060,
144,577,744,154,207,905,387,720,315,472,376,568,299,996,152,228,100,089,577,
131,024,329,810,576,429,649,830,842,291,789,595,268,607,641,580,662,510,911,
950,867,148,877,286,466,084,793,329,730,913,104,114,404,363,767,111,085,707,
448,026,693,313,487,441,843,864,976,614,465,770,807,777,187,062,737,328,803,
194,046,767,258,294,725,105,172,931,526,574,686,321,867,075,366,128,255,081,
360,544,162,551,938,486,765,564,596,972,684,374,672,191,927,171,425,322,552,
071,200,461,003,615,931,316,361,793,523,811,109,044,276,155,394,458,470,484,
112,323,766,500,654,413,896,886,712,182,823,569,143,508,408,043,078,485,720,
071,836,776,906,445,616,149,565,362,506,737,906,825,799,177,911,715,531,061,
273,261,674,836,647,778,912,884,014,213,945,835,490,655,992,820,456,602,311,
007,040,676,833,654,367,951,810,703,989,479,195,498,953,110,436,365,176,538,
878,586,544,032,982,626,184,643,421,981,317,090,175,212,154,349,149,345,242,
013,980,718,672,862,306,342,053,258,788,143,165,019,300,080,272,814,848,587,
752,143,251,389,791,247,155,527,122,655,709,942,474,313,882,564,332,933,197,
012,785,669,270,466,421,147,603,049,747,773,797,916,234,928,563,848,558,501,
839,171,145,273,876,403,161,081,094,940,385,720,658,911,262,927,120,357,190,
257,654,909,461,543,063,147,713,422,175,086,467,592,552,702,143,774,745,130,
871,697,705,099,938,383,271,260,827,371,151,669,070,635,937,720,837,776,405,
625,439,464,950,710,201,523,916,906,171,552,339,108,757,977,471,290,584,467,
868,525,446,002,370,860,184,089,394,497,257,980,003,377,424,964,278,053,286,
543,073,150,179,754,061,696,185,882,874,877,052,853,762,358,815,569,720,969,
498,946,827,369,970,862,477,606,596,458,872,695,932,331,209,975,102,539,539,
827,884,164,393,196,777,004,236,745,284,233,042,629,894,756,449,365,402,888,
698,388,070,993,368,752,362,386,774,094,220,415,780,660,974,027,748,155,889,
945,437,334,132,590,127,462,534,946,866,241,039,123,438,404,124,785,880,704,
836,834,478,072,611,715,346,977,755,029,495,543,641,030,323,276,269,714,369,
694,719,824,178,565,400,714,754,469,135,193,967,946,855,841,490,478,860,180,
661,460,380,168,351,421,411,494,700,628,187,138,692,485,704,364,192,902,133,
953,048,435,171,494,505,405,754,463,679,320,834,712,463,973,247,183,843,488,
889,942,527,471,503,927,163,632,254,143,040,709,670,577,072,689,089,559,176,
930,954,122,265,368,216,609,579,829,567,792,352,006,782,707,185,999,266,650,
073,695,684,649,196,481,226,714,006,340,400,328,898,840,367,727,691,713,118,
390,389,827,211,278,304,613,022,091,765,734,928,736,870,299,680,277,243,566,
071,160,611,316,118,111,882,064,354,369,863,236,200,625,794,570,882,893,423,
561,386,439,806,272,815,877,882,174,998,988,542,104,444,173,150,535,342,852,
662,845,348,885,796,855,303,045,130,067,715,380,792,108,978,304,927,098,542,
925,085,242,836,816,832,748,014,033,569,616,118,930,154,675,042,155,057,438,
812,846,154,145,799,960,085,743,053,470,943,418,279,066,869,586,888,191,837,
055,609,949,975,871,385,685,721,057,592,052,370,122,943,097,382,273,326,725,
511,690,263,663,682,777,450,145,815,782,010,237,035,215,138,771,122,026,621,
542,181,648,533,286,978,539,312,724,318,634,343,402,465,867,728,024,325,371,
319,208,026,048,744,665,941,223,946,983,953,389,570,120,066,031,687,434,012,
029,414,259,158,727,904,061,882,066,297,520,728,582,340,265,588,477,840,582,
224,096,513,105,495,316,668,239,714,606,232,233,001,438,003,362,397,790,357,
553,988,084,484,715,522,818,285,846,130,992,372,197,364,006,964,524,974,687,
562,635,772,839,075,088,164,123,247,795,744,990,342,687,004,727,708,757,034,
716,500,307,599,057,847,384,604,327,107,660,525,422,865,452,029,368,236,475,
937,197,443,218,775,449,428,957,817,231,677,194,951,194,958,644,917,886,565,
078,473,612,563,860,214,855,202,937,563,103,945,987,329,246,652,649,356,626,
921,202,647,348,525,599,313,594,904,023,135,990,159,827,693,412,570,599,115,
241,794,260,173,242,530,650,612,616,556,123,070,853,652,664,622,132,969,561,
074,433,635,548,503,122,246,362,816,088,975,893,968,237,033,633,790,676,648,
976,956,633,250,801,993,377,077,558,007,477,729,047,742,117,417,082,916,315,
142,669,305,158,856,284,094,191,567,728,643,641,807,990,485,347,137,863,759,
558,169,853,915,022,632,595,637,077,073,236,955,400,087,180,351,301,786,248,
438,145,222,280,640,794,501,239,824,175,824,521,401,423,245,656,493,874,633,
803,913,970,929,290,616,482,042,700,091,373,864,875,085,397,158,601,529,388,
833,477,983,088,524,761,133,731,741,764,027,765,091,620,439,154,937,759,995,
876,794,965,580,863,228,816,920,347,276,331,460,480,483,666,186,689,930,712,
705,337,653,096,825,530,245,929,793,950,144,243,970,090,239,845,488,272,191,
256,862,041,918,117,401,716,232,579,367,185,447,104,289,120,195,240,069,181,
513,943,071,825,749,880,285,170,365,222,935,211,230,013,637,649,644,665,994,
944,074,510,014,506,418,429,646,008,029,495,458,880,112,666,050,773,667,484,
139,449,584,724,659,224,302,638,435,801,158,018,022,406,544,776,996,794,921,
778,097,166,572,352,018,646,285,662,599,966,758,115,546,840,208,132,006,188,
409,959,943,686,947,872,044,685,473,283,347,005,168,995,130,124,986,754,813,
258,576,427,570,377,123,958,541,810,532,968,213,675,696,761,855,252,729,333,
783,961,586,056,670,940,247,171,531,489,475,430,156,429,092,248,289,252,224,
845,281,772,329,270,480,043,141,089,001,331,985,887,646,744,876,010,429,724,
186,615,742,865,932,019,260,726,991,638,662,963,439,631,622,664,806,706,470,
290,419,471,707,479,718,446,969,354,034,267,747,426,923,052,303,052,508,615,
067,066,807,496,519,165,267,256,587,041,653,895,800,257,903,749,641,260,269,
458,894,232,976,248,755,631,632,503,392,541,669,927,168,049,574,786,784,303,
947,001,176,110,522,046,940,539,681,787,152,639,800,531,756,729,076,532,659,
720,693,814,551,170,026,644,936,216,733,567,635,765,769,851,427,836,473,017,
889,321,923,697,801,964,040,960,888,638,594,865,518,441,025,181,258,831,736,
165,246,222,412,963,333,682,936,131,098,055,619,118,555,434,032,554,100,278,
222,472,495,182,269,191,978,575,749,950,434,007,502,687,738,680,656,191,161,
871,925,441,283,895,974,130,544,223,857,667,657,861,039,762,210,988,752,102,
446,112,862,908,696,344,478,714,849,091,188,699,021,231,880,431,445,312,278,
387,078,072,774,191,289,831,951,902,372,364,526,553,039,649,713,002,415,760,
272,894,235,722,628,921,838,917,779,951,174,687,057,018,539,759,059,382,392,
023,850,394,039,300,240,482,711,168,476,840,938,458,971,494,870,172,189,204,
390,065,599,882,004,416,087,768,020,311,045,485,908,030,498,723,130,768,171,
978,424,421,209,433,902,574,278,829,518,750,845,775,840,374,332,541,312,430,
787,169,364,445,866,130,671,003,415,548,177,080,061,051,008,411,491,108,172,
904,255,822,852,709,841,089,106,158,622,305,135,462,397,169,994,340,620,383,
258,787,386,034,219,164,301,550,112,466,331,167,283,572,759,041,136,756,733,
939,623,991,182,217,798,624,446,303,734,577,506,441,951,903,454,182,128,143,
278,679,395,441,428,952,363,426,041,106,817,557,686,939,108,696,188,919,276,
766,177,461,306,078,696,573,473,443,611,433,046,883,669,395,234,515,009,340,
404,218,838,363,032,983,949,995,954,687,984,230,718,089,453,667,422,736,727,
134,235,732,067,225,975,557,221,744,453,384,559,757,129,544,336,492,222,887,
153,058,295,813,605,574,620,049,333,567,196,949,649,749,052,104,781,172,801,
563,994,558,596,647,164,244,361,310,972,474,507,775,840,280,538,296,561,216,
130,935,192,386,080,832,430,880,904,716,390,722,157,626,158,891,907,852,949,
347,926,681,397,648,709,602,598,348,919,727,881,197,650,152,903,249,584,403,
236,417,532,262,906,550,850,223,611,642,680,887,775,543,709,733,780,885,091,
096,230,867,252,764,526,633,997,944,643,671,582,785,884,154,963,513,741,261,
437,735,927,941,078,435,916,894,764,777,135,499,892,021,377,408,612,713,757,
923,982,318,454,354,535,632,578,650,835,652,035,932,233,013,265,928,174,427,
676,309,035,317,105,334,682,708,080,336,114,281,283,675,501,401,439,696,060,
032,627,315,783,945,129,408,168,245,754,251,476,526,436,047,303,053,798,338,
087,234,405,869,283,379,565,733,852,655,300,166,627,329,688,473,324,776,086,
895,264,701,218,618,273,497,716,561,681,882,551,793,276,824,249,353,081,483,
171,895,205,348,758,333,662,563,790,171,038,457,290,295,638,577,991,047,210,
307,721,792,617,776,141,526,118,855,760,166,576,806,982,192,156,074,536,412,
797,371,096,183,113,167,655,960,241,024,602,571,464,940,028,071,239,225,628,
120,443,500,794,868,847,832,420,084,671,258,333,340,294,256,379,110,748,668,
024,701,256,773,930,951,164,369,047,749,422,846,402,089,481,669,995,583,370,
194,629,016,606,560,228,448,668,180,207,731,443,576,822,890,089,748,628,836,
933,493,196,118,117,158,763,367,194,821,683,553,732,348,056,140,602,373,116,
448,352,214,927,231,643,389,007,677,295,714,847,361,437,226,309,321,126,266,
925,209,040,797,698,293,277,586,128,143,321,041,883,473,164,046,434,351,770,
373,055,605,802,229,672,413,902,059,910,307,246,999,389,557,679,310,459,758,
707,257,977,201,468,676,213,672,040,758,379,156,790,928,454,956,355,812,346,
108,528,662,062,385,429,472,801,050,937,408,612,944,053,008,261,516,431,552,
598,848,909,192,580,045,144,404,394,331,592,930,954,933,973,406,880,944,290,
934,922,680,246,678,230,014,069,833,938,585,526,653,296,600,345,964,932,418,
927,478,920,035,381,224,256,581,911,163,128,745,980,879,257,682,463,087,040,
656,966,093,437,290,467,197,669,220,042,243,381,545,825,808,289,030,319,899,
052,197,134,431,851,869,714,329,866,637,242,111,334,025,216,992,691,185,573,
308,922,441,089,891,110,996,241,923,197,783,450,691,475,293,548,443,664,890,
374,360,766,365,884,238,802,364,804,648,693,799,840,159,947,077,273,787,896,
357,126,092,823,268,234,591,044,219,198,463,898,566,985,642,931,547,023,801,
664,117,953,172,570,252,449,176,172,415,517,740,930,156,818,567,802,441,403,
758,720,382,082,964,406,992,644,378,544,289,699,547,822,399,189,608,903,010,
137,796,026,333,384,430,708,978,351,283,981,882,144,026,570,309,931,562,092,
135,432,003,772,217,532,973,943,134,657,931,868,406,359,431,012,102,525,261,
827,746,760,344,163,393,338,732,121,890,942,562,870,096,467,540,411,722,516,
840,787,679,426,061,322,047,162,926,236,944,491,280,113,810,681,040,970,053,
656,287,141,207,796,149,297,244,143,289,098,008,958,086,757,812,170,072,339,
745,710,305,983,714,457,406,495,367,807,696,306,661,212,602,790,447,922,522,
914,237,594,115,174,581,231,638,529,904,565,446,674,891,911,004,746,367,360,
394,878,067,707,759,969,387,612,047,176,124,725,420,594,253,505,609,108,547,
491,655,238,273,003,868,918,075,396,110,096,138,354,770,922,564,706,917,213,
061,570,666,869,563,304,536,534,594,814,888,565,398,960,765,652,967,786,564,
048,377,622,010,922,528,016,378,837,213,210,844,074,668,133,954,269,871,988,
435,467,868,238,763,543,578,080,398,020,167,390,979,109,764,232,684,714,018,
034,700,981,157,304,798,192,519,229,894,061,776,828,919,011,134,274,596,812,
639,890,468,979,421,594,400,443,228,830,488,513,658,557,613,908,681,743,405,
790,820,212,123,855,568,576,078,980,687,803,019,989,306,102,913,354,896,234,
966,142,831,012,493,789,683,237,408,981,215,631,396,879,726,381,970,436,031,
106,623,840,284,044,818,276,927,743,973,855,692,497,852,085,684,373,584,755,
361,783,585,059,264,557,349,593,882,462,500,789,071,751,990,668,799,150,050,
945,827,906,847,496,574,482,454,027,038,527,169,700,618,321,451,783,997,369,
166,513,968,440,146,038,638,096,873,273,344,770,774,838,969,142,518,346,496,
590,112,194,753,223,127,232,545,334,271,055,991,830,471,787,614,470,525,323,
823,869,115,908,305,578,521,074,842,486,445,428,910,372,537,260,348,867,956,
382,204,461,716,883,469,132,607,000,440,525,887,031,096,931,842,369,044,502,
524,033,470,346,072,184,485,064,151,539,172,536,402,679,236,189,788,896,064,
645,433,580,261,112,000,399,173,188,013,009,885,373,261,509,836,322,421,890,
026,835,663,171,999,865,732,771,736,722,871,532,689,269,050,968,678,109,719,
650,168,630,754,680,644,820,368,095,158,510,697,790,511,349,423,498,824,938,
060,802,314,896,160,842,086,292,809,692,491,801,752,715,437,492,419,945,932,
150,075,524,044,365,990,690,302,480,626,135,137,665,256,041,640,237,692,413,
836,395,522,240,646,364,192,896,885,571,587,937,335,343,153,874,109,561,532,
386,923,829,985,270,860,701,329,345,249,106,876,348,217,189,147,512,076,782,
876,984,630,164,291,427,283,553,797,427,370,522,845,921,291,108,197,437,019,
358,483,504,225,142,052,054,797,885,700,537,879,997,616,420,421,934,022,268,
917,646,997,705,133,190,484,034,936,848,043,861,848,812,239,744,636,173,533,
054,274,425,163,454,197,998,093,428,894,324,194,456,109,280,106,892,703,008,
677,703,124,922,693,730,554,694,745,697,940,917,547,080,551,779,948,633,498,
188,360,594,753,321,816,461,984,141,723,646,250,012,145,957,197,230,639,482,
992,914,170,890,760,711,284,316,018,063,897,143,064,775,925,939,291,820,421,
929,175,164,487,019,866,398,893,625,260,854,507,906,611,065,501,568,337,584,
183,357,003,493,091,580,858,240,854,174,910,243,487,882,113,793,175,129,444,
855,290,592,459,901,223,934,958,057,417,299,175,116,065,916,005,477,813,802,
408,550,744,441,979,692,991,040,406,544,988,878,608,337,994,826,156,610,360,
525,329,494,355,948,959,767,833,203,059,929,259,998,488,541,888,911,091,867,
370,819,313,630,473,107,022,130,603,956,252,793,110,883,526,277,604,160,019,
697,569,400,495,021,608,821,613,048,329,469,505,975,641,733,027,791,566,416,
328,798,882,815,428,155,668,677,411,701,017,559,847,248,816,057,701,614,005,
541,979,865,376,374,568,264,095,318,164,580,932,958,443,971,234,063,153,916,
163,879,852,996,138,602,216,125,829,796,179,446,754,560,843,114,944,859,127,
006,886,090,908,258,929,532,876,145,373,787,288,416,187,562,527,196,907,827,
107,893,600,731,240,045,751,115,694,163,963,238,867,484,414,032,206,861,480,
820,516,116,570,564,138,896,041,721,947,190,552,717,222,962,252,111,142,286,
460,425,480,373,468,299,612,319,901,441,645,491,466,564,819,326,701,760,725,
285,721,422,867,818,694,736,011,235,728,671,660,744,958,650,938,815,251,305,
345,029,373,043,051,877,723,195,077,680,680,813,996,139,174,621,728,832,641,
981,544,773,997,315,711,112,332,021,415,044,056,157,957,830,762,250,384,070,
598,686,841,000,633,918,029,827,419,677,777,692,400,121,123,246,944,946,075,
434,621,151,847,938,151,630,159,476,141,042,933,227,220,322,884,930,010,241,
541,686,801,266,532,626,666,088,787,706,304,861,103,661,778,428,365,588,982,
895,168,250,041,156,991,882,541,095,135,308,981,889,399,033,822,769,597,095,
897,291,171,266,919,927,549,003,132,054,220,484,518,218,463,941,142,671,462,
420,534,255,632,801,793,960,694,732,687,063,852,540,026,466,826,340,790,651,
789,092,368,921,549,327,116,354,999,069,489,719,412,302,043,106,273,238,474,
561,861,465,742,972,343,886,289,389,870,797,957,877,320,318,464,728,200,077,
205,368,928,106,392,843,998,775,350,182,759,483,467,001,930,872,656,350,663,
922,593,824,009,120,210,626,742,612,101,190,788,102,839,907,231,395,400,961,
166,494,807,252,123,920,847,540,326,938,966,920,223,952,558,137,246,132,442,
132,473,340,999,101,465,480,395,143,480,685,686,701,250,130,781,175,594,492,
801,769,481,930,893,329,832,555,108,808,751,447,558,534,934,842,632,532,575,
592,521,117,775,356,460,318,268,251,582,406,152,691,049,188,675,375,518,426,
548,878,403,874,309,174,086,718,823,121,604,611,572,298,011,514,888,987,926,
113,701,123,211,408,121,583,569,872,730,794,161,122,650,124,933,747,664,862,
381,758,884,179,738,142,133,573,743,283,556,041,837,646,407,414,656,463,830,
857,506,811,682,741,220,060,005,029,667,127,294,226,969,778,977,961,320,962,
363,578,205,929,850,968,889,218,437,630,059,167,149,422,783,286,553,823,381,
719,560,142,035,439,503,696,190,022,656,329,496,444,355,347,982,790,069,895,
222,779,843,408,946,859,760,683,911,877,189,312,345,022,213,963,502,544,917,
736,352,655,998,918,482,845,793,414,870,435,116,793,638,869,166,364,831,006,
396,257,733,962,969,433,264,459,162,393,392,105,350,944,117,213,261,000,604,
573,300,857,498,915,377,868,431,621,653,408,508,815,824,957,113,266,404,997,
888,502,972,502,075,392,821,050,027,492,082,422,471,383,969,751,572,090,206,
801,986,742,456,460,639,659,020,648,554,216,205,177,367,670,329,392,350,817,
870,610,708,927,410,067,293,035,147,075,458,082,880,163,997,016,308,715,345,
216,432,711,152,184,192,335,717,347,370,679,837,280,019,299,213,993,494,638,
732,223,146,683,894,578,596,615,685,628,285,060,850,240,682,608,162,342,333,
822,599,291,228,366,760,882,492,779,096,329,140,645,956,348,653,260,738,479,
234,348,632,751,392,371,950,264,735,348,756,025,822,140,900,341,846,772,665,
651,594,351,441,993,642,612,633,630,341,880,704,704,209,411,767,560,609,805,
865,654,984,704,297,122,352,346,966,575,724,264,438,203,906,388,433,947,049,
563,823,414,162,231,021,638,606,231,814,156,503,160,162,997,224,770,008,992,
644,975,220,160,975,927,451,600,544,428,411,319,533,560,038,525,060,365,284,
248,690,426,176,353,751,060,803,158,609,258,012,760,243,701,569,376,134,396,
092,169,443,511,482,274,695,904,572,563,303,504,813,996,313,733,733,901,851,
863,337,547,416,983,637,480,504,639,938,035,482,009,266,611,900,776,692,047,
501,304,613,726,300,553,272,608,704,459,527,931,926,190,507,162,189,421,782,
843,891,465,099,478,707,301,521,979,138,116,170,125,045,174,246,440,552,738,
839,775,856,325,506,987,350,919,775,952,105,538,972,318,149,688,107,076,604,
264,429,169,683,817,293,968,809,402,159,182,387,230,414,256,507,503,607,877,
369,819,925,788,647,125,892,791,265,849,057,992,702,994,895,037,009,152,393,
665,579,596,088,820,505,628,933,055,998,151,841,378,457,272,152,544,471,414,
729,496,932,382,407,904,008,733,079,020,862,840,702,021,421,081,011,244,253,
105,271,237,934,209,757,995,333,962,238,205,327,583,718,624,457,552,909,357,
498,461,598,697,506,064,221,158,408,704,233,720,347,871,619,935,871,359,329,
407,705,828,573,798,628,045,529,558,353,987,435,891,290,787,882,716,648,624,
643,231,295,250,883,733,312,191,913,817,401,790,739,608,299,647,408,048,499,
067,552,414,706,875,171,910,094,724,404,382,116,506,223,441,644,013,300,232,
561,376,458,711,990,104,521,019,765,289,090,467,289,816,518,949,996,413,323,
984,385,109,492,497,046,621,672,810,035,805,690,846,619,593,932,744,301,126,
334,065,344,109,605,861,677,057,124,559,795,157,622,211,093,344,277,291,473,
011,646,694,308,458,753,725,273,311,790,171,288,729,011,971,600,372,379,989,
163,795,923,641,106,043,745,090,394,097,630,270,727,879,040,315,487,627,873,
695,144,751,935,189,407,470,793,774,681,223,292,788,134,853,515,794,556,421,
615,309,212,949,930,279,927,580,325,227,681,905,836,163,861,489,506,462,459,
482,307,475,317,737,194,779,953,981,097,298,314,092,466,681,443,526,163,475,
426,464,516,987,762,781,799,827,295,336,465,860,850,143,642,378,884,742,999,
651,843,089,768,267,602,514,893,217,637,895,464,633,351,134,900,709,666,834,
247,206,019,205,272,733,004,531,258,024,392,552,043,552,190,197,436,490,536,
039,258,469,289,552,899,314,377,312,329,496,853,652,083,905,556,398,403,189,
269,388,014,007,979,452,447,783,520,328,086,137,704,809,483,023,681,595,816,
194,482,289,676,788,469,457,199,216,874,075,390,543,531,122,680,368,918,995,
240,709,379,157,541,532,253,421,290,978,891,166,498,394,682,402,261,323,571,
759,995,138,180,790,900,915,930,280,855,004,296,647,586,217,059,301,641,879,
608,556,681,926,648,898,249,849,153,190,129,529,360,763,391,626,561,327,757,
013,262,091,828,384,173,745,152,014,572,202,384,806,686,009,811,746,655,516,
579,918,087,217,933,407,018,118,858,437,429,092,460,249,704,971,686,852,687,
111,288,648,206,498,131,339,712,441,944,410,871,319,303,316,866,526,491,019,
934,797,406,578,833,442,191,719,691,141,496,935,458,507,783,043,451,407,594,
212,414,546,854,386,225,022,861,198,254,073,639,190,914,820,252,713,303,865,
609,489,480,915,137,170,867,383,410,665,087,480,444,480,070,902,122,448,430,
192,537,106,718,328,066,041,474,579,196,493,564,733,722,186,845,188,995,735,
884,685,916,488,610,356,850,548,869,053,702,852,862,867,740,328,152,095,232,
810,826,482,316,156,087,335,979,293,562,601,886,433,545,165,967,441,754,861,
682,236,940,159,930,896,964,291,343,478,663,857,054,080,129,233,175,015,457,
905,966,627,668,859,018,457,154,151,858,529,955,664,933,347,767,690,748,470,
557,702,300,966,246,914,546,899,822,345,663,679,134,442,454,141,073,218,103,
928,868,139,200,097,750,117,060,240,291,186,017,392,185,327,937,110,378,691,
659,114,064,539,836,599,836,078,899,554,306,832,663,478,722,637,538,460,681,
733,765,404,221,627,791,157,167,836,372,619,885,298,350,063,289,801,868,264,
458,306,530,551,088,565,562,135,093,346,463,974,931,715,825,342,490,473,486,
510,130,669,315,057,329,205,907,663,073,938,569,386,205,211,880,547,178,359,
298,538,384,650,045,996,804,498,037,692,813,462,085,361,372,848,724,480,680,
054,782,104,061,440,777,755,389,488,371,710,638,415,081,319,401,076,885,789,
356,697,440,587,807,445,986,944,073,219,282,025,211,394,233,391,148,782,329,
872,962,512,253,028,459,830,048,170,164,707,373,349,779,220,465,350,446,168,
470,893,517,153,805,322,444,494,952,946,702,213,466,773,741,826,939,377,798,
009,162,016,800,320,775,414,447,957,293,239,257,282,519,898,809,587,569,251,
963,536,348,074,198,731,181,977,372,470,547,203,106,482,218,634,029,886,291,
612,413,779,376,415,170,414,816,308,059,644,237,157,916,871,903,210,695,418,
710,690,569,137,722,998,884,445,026,473,315,883,480,772,479,407,074,623,263,
870,210,231,094,253,462,136,437,143,720,731,595,642,374,990,463,879,592,232,
065,648,715,964,394,243,298,604,906,003,888,129,292,707,461,137,228,555,955,
611,558,335,187,823,977,340,221,703,527,213,573,416,822,259,118,602,817,485,
226,005,247,507,735,119,062,017,366,264,515,298,454,061,553,993,716,874,135,
176,085,704,634,492,091,179,171,334,910,180,458,326,649,083,979,591,592,739,
890,491,509,920,387,667,845,717,572,622,831,369,677,522,980,566,771,125,952,
010,840,654,491,971,438,119,478,323,027,229,595,993,645,820,073,744,093,290,
486,086,970,615,574,658,948,913,911,412,033,573,604,796,925,095,784,201,256,
568,659,893,825,062,931,382,669,215,323,934,713,789,213,101,514,042,250,072,
633,908,571,822,385,510,049,464,676,896,016,828,385,815,525,628,052,278,472,
350,282,430,120,358,268,370,341,481,994,175,831,565,175,234,959,636,310,211,
408,372,513,747,743,661,126,805,625,458,957,718,589,448,107,450,277,027,528,
487,583,677,838,154,319,987,226,901,614,098,448,315,315,666,588,537,763,660,
978,926,741,203,036,279,112,439,593,129,246,026,326,366,563,809,940,623,285,
158,911,513,514,745,417,168,619,131,533,759,921,552,910,577,236,643,832,693,
666,485,483,482,402,645,208,221,456,053,467,232,572,669,598,146,831,142,594,
386,172,837,479,287,115,651,918,845,737,375,510,605,864,011,284,093,529,083,
198,691,876,857,484,482,285,375,419,612,775,847,509,645,789,554,516,663,916,
253,224,930,618,704,073,750,414,026,166,542,059,188,342,877,935,881,824,970,
099,223,141,467,080,774,408,879,551,123,964,609,910,630,493,742,195,543,310,
304,902,025,442,219,463,472,912,529,029,654,924,877,456,601,294,311,042,849,
364,279,552,725,160,624,489,787,813,741,205,257,773,169,208,680,436,633,270,
575,933,398,204,640,535,347,119,821,359,792,870,746,468,939,891,132,669,743,
170,570,634,062,861,410,884,584,545,461,306,192,756,686,616,075,053,326,468,
789,971,512,706,355,913,671,057,607,819,192,016,748,207,355,964,656,984,914,
597,103,675,559,037,461,385,080,775,712,150,454,391,228,800,920,934,162,132,
382,545,975,308,706,498,211,321,974,183,626,945,303,381,849,608,782,352,408,
015,208,140,010,278,935,320,516,085,221,676,171,941,946,234,324,075,870,831,
991,870,812,616,274,426,731,467,161,213,372,840,249,855,762,280,014,125,013,
089,361,532,769,196,621,383,710,856,513,925,722,358,753,074,366,569,210,203,
491,068,555,884,510,809,767,068,590,298,432,047,413,887,908,844,383,581,434,
884,379,621,801,695,938,101,309,800,360,656,703,600,478,794,885,896,064,836,
195,803,889,303,544,581,826,232,133,340,352,090,813,242,643,750,178,619,707,
504,323,630,970,940,780,491,251,552,148,742,604,426,074,240,902,454,116,469,
600,440,387,753,347,845,643,521,582,196,896,107,780,325,065,513,076,641,541,
657,002,677,409,750,049,085,554,937,021,800,827,901,447,237,851,837,529,921,
092,236,342,869,491,109,319,434,515,766,486,195,718,645,582,702,616,958,403,
355,236,587,058,640,219,737,501,858,313,438,184,767,522,966,031,283,505,890,
408,423,673,473,228,484,955,139,989,903,216,093,720,404,893,438,558,288,156,
954,244,781,205,926,121,995,041,909,045,938,651,449,879,079,930,641,067,930,
034,688,113,419,863,979,252,434,551,374,687,914,214,969,206,821,020,207,133,
150,264,509,861,574,958,531,290,357,259,729,053,493,191,865,762,778,468,346,
146,181,714,183,584,630,922,469,669,663,643,598,745,970,934,839,551,544,831,
228,216,592,127,515,864,532,776,479,139,654,767,272,592,261,190,033,851,645,
240,518,434,859,689,646,173,216,272,190,450,362,548,811,941,567,870,533,763,
093,540,042,406,487,408,565,260,488,321,585,421,266,872,434,591,931,537,822,
464,397,038,093,825,033,686,498,623,604,877,512,877,309,510,296,329,807,600,
350,122,001,629,172,545,135,788,297,400,990,697,061,983,936,516,002,938,059,
967,119,322,127,620,146,200,372,042,376,061,158,947,102,396,527,801,248,718,
497,897,744,369,679,980,443,888,897,110,561,823,737,415,509,725,298,051,150,
777,318,632,208,727,812,126,115,263,076,838,703,717,866,060,597,603,670,820,
488,736,085,645,955,220,410,080,825,892,274,255,658,937,731,616,275,688,849,
667,990,378,653,396,921,000,633,602,517,787,958,781,490,176,309,978,606,391,
951,084,452,221,154,102,494,714,200,347,633,141,664,118,425,209,944,661,736,
094,124,962,736,025,392,611,530,449,196,131,292,151,259,628,035,609,645,440,
520,502,419,704,600,203,618,441,505,683,041,550,674,849,402,689,605,956,230,
128,374,925,819,586,018,443,783,739,254,934,488,483,605,226,316,809,907,367,
060,046,127,433,698,413,034,871,376,979,343,115,723,127,753,198,578,154,347,
501,151,642,221,439,018,109,194,341,117,274,509,790,308,868,898,806,689,733,
998,637,376,180,022,870,224,670,387,480,288,663,319,799,570,660,235,017,636,
901,459,069,757,624,553,762,123,559,891,545,245,718,482,661,799,993,187,025,
722,619,469,205,095,776,039,196,080,606,590,371,232,615,766,696,461,533,210,
818,963,478,983,611,296,639,785,908,662,656,204,242,626,260,100,569,578,578,
841,805,086,177,054,027,315,317,859,492,241,052,060,806,326,154,532,290,951,
599,308,717,416,649,000,258,598,445,120,679,831,716,651,687,973,519,937,510,
086,397,376,026,190,763,964,338,304,476,211,654,466,303,073,522,891,588,287,
167,172,230,348,792,990,617,602,873,003,146,197,407,180,871,050,071,186,732,
519,947,486,108,941,381,814,567,450,188,425,040,652,937,808,351,192,007,308,
828,063,393,881,971,678,379,027,008,737,580,543,460,073,676,595,904,901,016,
757,042,832,228,336,829,882,297,114,953,750,695,503,324,358,069,051,014,169,
911,383,046,741,142,622,362,466,180,269,645,448,481,609,991,776,188,040,683,
640,529,834,128,963,081,276,258,293,665,728,562,227,422,230,037,737,259,284,
340,765,025,852,757,483,771,985,226,739,110,303,081,599,749,343,763,763,005,
413,806,655,319,738,900,502,852,162,193,104,673,575,064,970,144,959,026,509,
949,549,058,824,125,466,377,527,701,650,587,038,682,486,470,991,738,546,660,
055,814,536,063,657,158,452,516,057,569,689,556,287,988,047,146,927,636,310,
157,333,689,520,696,362,110,256,741,161,214,676,336,437,527,835,778,377,006,
445,443,102,572,709,716,876,664,143,546,700,192,108,419,212,010,610,338,606,
472,392,291,086,499,915,385,859,150,219,088,043,275,987,935,295,571,257,346,
204,408,918,786,940,216,880,250,173,537,534,461,364,938,095,373,267,065,697,
082,420,970,164,258,462,656,472,138,301,263,683,877,803,383,600,446,888,724,
069,800,849,383,711,143,264,614,343,317,337,244,322,550,635,605,000,337,021,
102,546,299,086,004,179,670,912,644,315,660,070,172,448,691,053,059,837,572,
769,958,669,090,076,010,305,876,805,875,512,246,829,555,396,325,761,233,464,
528,663,414,772,567,417,202,722,331,556,228,296,037,541,470,372,159,786,666,
958,726,807,413,452,740,837,851,833,541,769,211,148,754,067,429,226,178,215,
742,857,374,748,176,425,926,847,844,708,009,742,865,457,697,883,877,019,625,
703,594,108,796,700,032,282,859,516,336,722,056,505,234,956,996,460,310,677,
268,220,893,866,656,747,035,769,031,392,415,240,816,475,620,853,646,800,805,
668,923,481,185,223,431,272,172,530,614,568,324,663,646,333,034,814,337,208,
811,264,627,433,675,582,337,460,551,909,203,232,500,067,621,630,941,152,243,
634,944,394,960,149,686,632,099,155,077,261,774,463,315,272,650,124,001,429,
556,214,165,075,511,439,648,773,331,210,039,325,837,551,299,900,099,895,728,
836,361,227,614,414,265,349,407,112,603,393,123,769,491,661,784,672,318,275,
716,398,943,580,676,007,951,239,203,435,329,938,776,532,856,555,758,792,473,
483,321,760,001,056,131,654,414,048,354,807,724,749,262,316,174,931,557,823,
090,312,963,229,339,280,123,990,923,848,004,804,186,978,535,808,370,796,843,
128,102,234,871,228,233,035,387,727,294,889,679,850,118,076,430,270,394,171,
055,561,160,146,648,841,151,609,961,727,889,904,746,244,337,915,357,774,720,
747,712,481,906,602,731,971,489,278,895,933,035,974,125,394,272,703,167,688,
421,930,576,813,708,431,267,790,899,654,156,066,116,967,575,795,630,076,397,
473,887,483,429,540,911,583,781,863,016,621,588,454,691,544,977,800,805,561,
437,983,134,276,145,505,800,788,502,679,258,919,459,252,729,362,976,427,725,
166,389,540,835,637,754,518,193,064,460,125,755,193,937,678,237,910,658,064,
052,418,386,909,687,706,421,497,831,303,014,374,603,595,547,423,943,362,112,
926,882,586,989,318,012,263,031,769,537,442,752,400,915,289,693,379,749,811,
141,188,650,106,843,644,280,681,585,535,333,913,783,002,327,712,585,381,022,
966,516,540,540,353,858,266,213,056,910,809,056,104,983,569,696,943,743,565,
613,461,070,465,498,770,942,115,481,115,280,992,868,698,343,895,200,891,632,
124,646,802,923,846,760,291,767,358,097,339,273,234,769,810,008,846,025,789,
007,076,999,388,999,081,440,274,711,343,152,983,872,608,804,915,714,475,745,
753,499,698,168,657,702,586,558,211,557,823,626,403,285,225,047,104,165,768,
829,196,848,495,322,173,143,518,223,466,806,965,621,102,449,506,456,934,283,
227,349,663,128,294,359,174,121,090,468,433,581,251,563,948,278,874,599,684,
255,880,034,796,799,743,230,097,803,444,217,956,194,201,138,884,648,354,952,
837,404,949,670,773,461,831,382,417,785,163,237,663,324,463,950,001,807,367,
901,469,129,453,067,282,764,363,982,953,799,474,318,535,939,647,255,190,358,
948,842,287,719,385,802,656,356,947,678,193,622,229,190,182,075,185,079,246,
904,628,475,008,382,420,323,329,967,557,223,441,026,576,390,490,588,222,449,
984,907,118,696,888,219,203,333,680,523,865,357,673,383,423,360,037,916,811,
801,976,148,107,561,469,783,317,639,591,010,336,011,289,606,861,700,509,818,
615,505,350,676,268,072,889,696,481,814,362,651,963,032,181,706,798,272,514,
852,348,298,212,651,016,419,691,421,196,537,746,120,062,427,360,806,021,601,
078,146,188,998,345,682,268,973,657,647,956,392,238,537,360,933,533,334,551,
380,687,826,988,375,562,279,325,459,736,032,624,642,087,390,093,063,966,885,
044,451,266,696,366,152,628,381,428,117,002,740,475,780,014,599,329,318,127,
939,198,153,503,522,502,292,520,108,326,188,024,135,013,872,310,586,901,984,
039,363,028,854,773,558,531,813,042,761,775,860,167,925,641,516,323,803,095,
786,972,558,782,590,365,394,823,922,696,266,701,567,844,133,309,947,958,939,
259,690,063,403,777,539,909,616,054,117,140,859,514,283,042,788,382,028,077,
624,504,328,177,741,049,462,492,710,916,959,708,514,929,910,325,325,791,033,
150,024,226,337,710,580,905,625,486,558,180,574,148,833,084,642,957,935,162,
895,313,914,921,784,826,869,656,526,473,443,872,383,078,373,878,402,842,626,
110,902,885,613,045,822,616,969,120,970,906,076,922,407,778,875,029,893,667,
894,887,458,231,060,849,969,889,178,156,203,310,817,438,342,454,793,359,387,
045,747,903,532,904,743,207,653,459,720,855,630,254,163,265,828,885,594,774,
431,783,199,196,259,067,594,502,220,017,235,509,072,444,984,849,958,058,043,
529,191,869,479,163,402,973,547,256,095,844,312,188,343,875,697,500,745,283,
715,784,693,344,663,017,158,246,865,500,455,371,142,316,414,478,975,947,073,
360,211,741,113,590,842,338,294,722,167,679,229,141,624,699,090,651,919,135,
293,717,974,741,772,328,770,661,995,160,220,774,056,275,604,894,401,808,432,
568,381,580,114,262,435,005,103,984,751,327,563,270,312,088,001,779,509,243,
475,494,581,716,981,419,360,145,115,485,142,360,979,605,198,999,227,374,131,
276,933,506,995,030,438,001,528,716,672,083,516,624,979,741,561,764,718,983,
220,760,648,423,965,511,973,633,305,735,564,157,170,010,728,862,393,789,419,
129,030,353,312,016,636,131,184,869,403,134,510,521,140,684,990,580,160,996,
949,893,603,413,252,193,831,667,185,905,398,611,620,939,620,124,954,519,100,
845,978,737,995,655,001,789,041,160,857,949,526,266,312,818,925,254,961,895,
437,278,250,336,227,343,534,155,261,177,349,338,621,589,553,176,876,109,757,
671,453,395,268,511,361,922,123,982,650,603,497,627,685,720,313,120,599,170,
257,789,473,971,396,921,126,140,999,212,160,136,162,197,964,268,396,974,414,
479,501,818,397,814,506,931,773,928,455,521,396,275,201,068,516,697,229,991,
164,334,583,301,171,714,901,610,128,976,267,741,924,688,491,999,928,850,905,
896,630,163,724,946,910,184,119,013,765,564,006,740,299,097,560,521,265,278,
307,641,995,178,598,943,914,752,531,801,691,599,537,533,290,327,002,120,852,
988,481,930,299,881,603,542,453,185,164,100,032,913,681,774,636,750,814,776,
215,920,044,948,142,921,741,946,873,657,399,629,087,250,766,936,483,614,308,
988,830,991,677,999,512,804,768,142,548,283,879,797,224,264,086,196,403,815,
086,325,148,068,131,811,551,211,192,927,218,869,392,564,447,091,242,623,355,
400,896,616,282,898,925,981,660,767,587,222,022,808,645,385,246,683,909,085,
288,762,541,143,738,238,038,613,377,628,569,513,545,446,183,952,614,719,512,
078,862,025,598,530,298,036,616,447,084,268,209,158,543,829,222,028,883,023,
650,187,989,012,485,392,224,206,300,785,822,807,423,752,051,005,141,757,017,
945,200,545,721,781,586,539,754,739,438,160,333,078,855,619,210,276,896,291,
656,191,878,026,432,336,547,299,528,330,632,809,300,858,305,615,080,702,823,
558,400,120,070,176,837,246,039,509,261,032,406,557,842,487,293,672,104,698,
589,461,521,829,913,029,498,756,863,225,761,676,442,793,454,059,493,743,232,
098,295,389,190,533,275,216,009,449,077,152,255,302,030,847,053,808,056,871,
585,298,558,354,923,086,732,612,202,459,859,982,459,862,893,844,215,604,262,
348,397,793,260,013,494,146,844,730,867,374,440,790,711,757,524,693,005,009,
388,706,553,231,187,094,081,732,775,827,957,649,830,725,076,944,686,650,175,
076,050,175,254,553,243,920,413,792,569,034,421,229,149,963,722,060,717,089,
136,751,499,157,228,018,735,531,014,770,375,447,171,750,170,606,262,632,924,
317,264,580,966,986,362,415,529,517,488,603,112,832,183,699,220,745,226,866,
226,995,249,397,578,020,017,704,152,393,545,172,644,564,024,510,876,714,311,
143,259,328,552,227,275,346,738,985,296,432,982,088,413,915,148,216,401,777,
059,346,074,213,998,335,786,319,695,482,044,309,298,136,192,502,089,778,860,
800,519,386,200,158,413,289,841,774,814,267,443,599,878,923,901,820,954,727,
922,718,872,304,991,826,776,526,975,839,431,185,694,797,333,474,227,225,695,
324,810,191,278,341,275,708,330,888,709,519,181,814,465,890,498,410,665,234,
925,700,647,269,034,643,920,591,034,021,787,827,176,956,816,031,259,939,909,
195,350,106,380,589,927,581,558,659,571,186,413,619,207,096,404,029,763,362,
828,270,393,106,693,553,934,447,622,200,685,330,003,637,532,993,941,364,728,
536,592,993,212,870,916,675,274,105,552,810,945,508,793,701,547,356,993,886,
962,254,546,676,066,141,832,166,895,204,911,077,383,368,998,014,408,711,109,
003,128,219,289,356,252,310,104,248,799,245,314,999,847,194,803,767,144,778,
523,014,280,108,987,503,798,907,187,765,510,206,109,768,105,842,019,469,083,
725,022,581,294,432,942,936,241,241,463,218,043,925,786,540,343,974,218,451,
777,004,858,606,439,577,573,023,806,804,004,563,846,116,967,562,372,445,556,
643,987,203,716,092,025,236,309,077,792,498,807,807,006,804,299,751,193,130,
562,596,469,223,567,011,000,927,269,096,148,071,399,426,080,968,085,654,504,
769,862,937,048,993,060,202,480,973,611,040,039,365,978,950,020,296,533,418,
759,792,969,195,178,575,239,097,579,677,118,163,875,025,221,874,062,834,378,
141,796,079,751,710,576,934,674,863,019,369,865,687,081,132,709,208,764,559,
995,989,956,022,920,314,114,418,094,614,734,311,172,730,427,725,212,864,343,
385,073,193,315,569,495,870,450,530,831,335,832,799,790,416,144,152,548,040,
479,154,316,256,906,842,910,989,984,906,990,394,493,702,483,942,788,616,125,
670,154,511,068,103,557,503,091,131,668,281,813,689,781,053,482,703,109,601,
582,990,369,776,249,415,355,727,153,197,091,308,471,347,589,207,817,132,900,
175,123,993,926,075,051,055,430,618,462,792,202,780,391,413,388,848,775,424,
869,357,172,069,977,766,353,591,636,162,834,320,402,462,075,150,389,561,746,
664,555,637,205,860,993,568,274,217,463,033,197,802,312,317,918,705,384,937,
994,075,577,191,310,933,304,087,804,072,911,227,687,561,239,715,824,822,115,
404,360,706,173,715,375,764,674,723,744,344,226,011,774,456,252,747,612,056,
360,367,582,382,338,105,019,664,277,727,359,371,426,015,657,234,749,858,707,
585,994,981,699,522,505,559,450,047,232,024,149,239,973,908,917,337,412,212,
616,284,994,170,833,589,644,159,721,649,002,556,538,551,294,197,064,645,742,
059,835,339,968,114,694,676,280,491,052,849,629,806,572,260,763,461,505,468,
889,352,144,739,607,550,386,537,537,180,635,404,415,678,785,094,197,064,134,
823,260,149,987,176,596,755,949,455,968,196,785,300,425,198,438,615,013,870,
915,775,956,624,477,810,519,136,331,898,015,017,479,523,278,590,421,240,403,
857,380,535,025,399,343,101,276,642,887,612,226,176,931,306,545,880,049,038,
587,841,565,782,138,315,671,917,636,161,467,409,765,058,693,617,048,444,951,
761,677,369,016,995,905,904,843,917,716,364,795,978,831,706,816,971,532,921,
005,595,684,929,403,887,140,288,630,761,410,761,086,136,642,632,848,529,808,
334,482,871,217,353,581,108,027,238,044,556,189,002,893,454,248,930,967,098,
934,784,545,273,665,993,936,856,184,609,338,058,256,200,485,387,202,852,817,
138,260,266,578,423,763,765,355,436,777,633,564,630,401,200,589,608,637,705,
183,059,829,349,975,697,903,429,182,738,462,154,435,293,763,238,725,721,591,
602,899,099,361,824,952,078,153,029,519,200,303,929,852,291,951,567,749,320,
805,893,618,588,437,898,728,611,005,995,465,975,093,144,159,537,181,201,081,
419,720,442,428,685,231,338,920,642,651,589,591,854,312,423,703,686,692,126,
563,885,332,869,835,803,396,166,448,153,531,676,876,117,972,408,643,262,053,
282,080,331,355,856,634,765,711,899,914,931,645,884,726,773,966,131,028,450,
381,455,233,755,717,904,619,739,405,638,238,600,602,042,495,053,257,215,427,
647,030,644,489,949,677,596,302,576,811,392,827,051,324,770,271,818,856,975,
380,776,830,785,507,991,044,590,746,322,206,373,811,222,667,028,311,779,215,
250,401,474,810,580,365,251,853,698,927,031,636,528,217,878,545,871,090,650,
764,375,501,948,097,420,340,882,669,441,032,128,420,349,272,778,640,384,214,
331,639,646,838,478,237,546,339,984,139,438,660,786,760,741,317,417,842,655,
357,623,234,798,122,693,361,647,008,057,874,360,791,389,152,860,989,734,805,
250,642,568,583,302,212,983,567,566,452,805,455,310,214,749,567,733,655,200,
110,914,702,875,008,790,631,644,179,658,003,041,410,273,698,898,511,485,994,
480,606,307,158,765,542,154,419,246,454,449,198,951,328,658,496,753,347,054,
935,419,683,908,044,224,754,623,872,382,036,604,805,190,452,160,178,024,785,
539,227,630,128,736,326,840,582,628,602,069,630,634,990,580,410,067,382,810,
730,903,404,149,468,949,568,458,694,084,685,459,300,419,291,650,753,948,534,
698,784,709,838,694,950,205,919,300,421,425,910,993,095,116,502,415,154,954,
671,807,037,970,332,567,497,797,142,212,496,956,227,580,005,142,190,902,494,
298,407,186,003,215,582,125,824,997,329,668,902,732,062,470,546,234,831,659,
745,406,749,511,269,801,881,044,615,019,358,023,892,675,779,966,495,050,303,
095,390,389,456,139,211,699,317,576,473,291,605,738,973,763,700,700,353,001,
883,453,269,164,772,035,502,366,287,067,775,649,416,393,151,167,011,506,854,
714,252,575,447,648,429,235,968,048,546,660,131,310,243,630,757,480,331,997,
293,789,112,356,204,179,026,421,537,483,320,371,607,384,459,481,889,499,916,
169,116,769,885,303,361,989,426,142,702,295,563,929,110,132,898,604,329,077,
613,320,114,307,623,223,207,625,952,238,639,404,503,021,155,322,175,031,910,
015,926,721,289,800,463,572,723,079,918,942,524,805,036,719,617,186,310,069,
401,137,032,889,901,740,659,129,930,551,074,602,046,490,749,156,299,335,554,
056,370,442,889,321,722,609,406,580,689,579,145,458,622,190,401,662,790,407,
047,089,891,957,807,789,500,880,772,126,454,426,518,298,417,093,409,405,237,
308,463,275,926,864,469,740,759,695,095,046,171,693,459,705,165,079,306,241,
890,915,177,022,620,297,743,073,144,619,790,831,295,621,700,097,066,480,469,
223,682,512,876,879,060,588,795,810,995,656,639,271,114,781,631,362,088,716,
018,401,698,725,166,013,011,262,677,154,082,899,490,424,803,223,842,330,335,
706,679,427,217,432,016,547,196,799,642,178,186,526,232,071,289,491,577,535,
176,005,078,744,647,252,131,287,304,090,878,698,053,958,959,471,964,827,243,
923,529,477,545,251,425,342,724,893,131,479,201,694,022,079,669,651,510,348,
103,737,901,846,036,696,124,132,777,378,847,254,267,116,702,253,172,827,842,
774,024,613,005,691,451,802,999,156,249,365,438,289,072,368,825,709,534,360,
255,656,558,267,102,940,811,543,805,969,936,076,422,508,442,469,885,959,775,
116,459,293,785,439,687,023,342,438,235,485,934,484,609,320,668,923,925,736,
620,074,318,947,809,825,217,609,607,281,072,322,672,067,307,909,177,165,273,
262,294,916,524,774,945,937,238,533,544,355,426,269,804,457,078,364,811,693,
114,728,797,983,085,639,124,454,069,954,097,344,730,844,155,973,544,236,819,
708,100,044,315,470,251,093,685,212,735,374,440,487,705,973,825,960,498,502,
481,223,581,989,061,253,162,678,158,228,871,175,282,762,532,240,621,622,387,
020,781,941,575,295,424,284,259,830,408,165,453,857,343,395,251,002,330,909,
702,786,532,114,948,006,659,194,646,168,560,490,957,705,629,599,851,229,073,
743,803,051,106,406,973,060,434,718,956,754,998,352,474,240,861,550,097,155,
168,895,394,815,745,330,472,511,363,073,095,151,001,969,995,351,533,661,819,
997,364,457,349,514,797,502,544,847,359,232,071,095,698,858,767,664,095,890,
150,096,862,166,738,331,398,986,438,426,745,621,948,255,813,656,110,981,785,
452,009,639,615,665,262,064,832,094,448,387,886,481,979,192,026,838,761,007,
093,910,638,912,929,575,875,849,239,275,471,900,859,434,901,460,694,988,823,
019,696,521,442,960,123,712,415,602,331,935,659,572,823,122,995,866,623,712,
562,220,992,974,185,156,905,086,007,155,127,365,723,002,363,624,578,051,216,
973,585,124,922,553,592,090,161,001,183,915,578,909,143,835,475,017,929,763,
128,222,086,399,356,777,134,261,588,982,960,689,051,550,326,964,989,185,452,
668,406,043,106,957,537,645,697,840,902,130,551,696,476,418,685,094,956,667,
943,581,963,873,901,404,624,630,658,618,038,921,531,276,282,950,560,907,367,
205,509,107,306,593,102,939,186,336,664,084,475,112,176,937,266,703,730,462,
717,329,084,233,869,272,670,740,021,145,802,997,029,753,717,251,318,626,834,
793,063,292,019,733,088,299,842,390,339,761,884,335,923,956,223,046,681,276,
862,627,585,661,680,787,221,866,310,937,885,476,862,569,778,306,338,810,008,
589,000,558,466,905,605,217,123,540,311,381,699,338,825,004,380,942,795,289,
955,398,791,796,066,369,097,378,496,823,699,241,327,498,422,249,514,854,379,
144,806,730,142,001,750,149,982,592,807,159,945,574,769,072,843,566,254,733,
465,934,410,727,036,072,800,036,230,566,351,542,216,041,367,248,205,118,204,
898,847,315,461,965,701,462,766,557,117,071,280,416,261,860,382,375,881,683,
409,807,895,620,759,274,774,332,021,360,431,479,397,611,682,413,306,162,386,
891,866,641,430,407,630,635,729,256,413,019,056,292,562,489,563,493,239,189,
989,135,839,723,449,678,300,841,152,296,738,969,612,370,245,717,425,026,846,
026,967,662,991,769,455,318,653,796,151,168,378,506,633,542,230,651,306,736,
661,719,057,846,690,107,815,598,613,734,711,516,945,453,183,996,385,857,758,
575,443,824,499,378,358,392,130,151,280,836,974,403,657,204,217,389,286,025,
730,153,061,890,454,185,785,572,497,612,594,665,805,748,003,409,156,909,927,
449,885,581,299,858,121,722,939,905,941,836,515,809,391,668,281,188,409,591,
125,839,424,523,448,304,433,493,609,699,954,332,934,803,422,897,024,386,501,
512,954,745,507,475,602,199,755,328,145,007,342,111,435,785,056,417,288,262,
125,940,739,640,110,144,121,064,023,932,847,880,027,138,589,520,605,155,981,
986,941,462,335,676,522,647,358,290,604,423,585,586,389,442,045,254,116,208,
871,797,124,608,177,390,653,130,210,377,674,096,671,544,677,293,248,369,981,
452,254,359,151,812,384,792,672,477,456,897,171,298,218,056,322,970,217,297,
165,051,258,290,948,674,648,604,412,598,654,584,713,455,385,589,885,982,812,
586,916,205,759,165,456,071,457,988,737,526,036,085,467,979,904,346,519,639,
042,334,651,126,255,837,544,079,851,965,774,236,445,686,661,695,593,287,028,
835,225,089,909,339,803,274,975,809,624,176,349,115,275,128,724,087,577,657,
059,720,960,482,362,958,480,432,940,420,025,600,628,943,986,469,432,174,791,
444,377,002,591,405,724,827,609,112,515,747,614,581,450,676,363,169,253,515,
672,552,413,413,968,981,846,684,368,760,940,126,457,023,836,295,096,183,798,
840,541,639,475,508,786,715,710,609,317,218,256,575,785,573,653,343,487,326,
818,909,317,447,573,576,297,122,695,738,290,206,286,707,327,655,590,354,233,
018,521,200,095,561,467,130,189,697,978,947,269,406,043,754,575,507,111,931,
952,793,712,207,778,290,755,717,432,641,275,829,975,910,468,652,610,863,287,
903,722,170,389,958,854,246,007,600,374,922,376,169,622,347,597,289,358,568,
704,966,190,620,863,906,030,054,979,370,794,144,251,354,109,472,763,199,116,
085,817,031,196,337,213,428,940,481,549,775,095,852,821,449,246,399,708,348,
647,494,490,938,188,644,756,777,810,852,323,080,071,160,337,505,150,543,195,
223,005,745,751,347,968,024,391,287,161,429,547,469,082,741,795,268,030,683,
455,912,153,306,989,841,278,029,004,104,356,354,715,530,424,008,123,964,560,
777,184,195,138,029,785,846,709,375,374,809,930,163,317,457,154,550,248,803,
191,871,589,432,463,041,899,131,949,714,630,439,930,380,086,672,462,379,533,
378,370,555,529,219,333,937,104,859,760,787,945,710,884,795,877,570,567,377,
174,573,206,148,296,328,113,335,121,088,667,224,137,496,401,516,545,065,282,
649,977,215,222,884,090,801,741,533,112,504,914,385,979,084,358,541,148,506,
875,789,719,126,933,512,810,669,922,025,500,346,542,032,658,477,647,543,033,
033,149,980,287,770,202,962,294,508,184,553,933,391,406,542,634,133,706,459,
021,123,320,412,104,637,928,493,292,798,971,752,208,643,465,034,078,918,403,
345,685,664,152,236,699,140,881,380,351,289,350,548,670,433,741,873,877,322,
412,996,779,792,655,220,176,692,615,465,800,742,322,756,376,629,811,935,071,
035,275,494,553,026,090,409,146,076,154,104,435,635,404,002,358,862,333,891,
887,600,193,062,801,867,904,621,079,269,616,041,793,170,058,378,883,785,115,
887,440,108,970,689,544,434,237,363,172,088,672,647,224,849,906,364,971,346,
539,838,591,744,721,213,452,167,189,075,146,765,047,333,726,103,605,912,323,
017,326,892,874,363,222,206,906,604,217,187,785,012,619,230,054,793,822,872,
399,549,283,332,102,052,429,789,648,900,798,911,729,848,677,145,033,931,596,
166,334,478,906,727,843,849,636,717,276,167,609,365,324,872,863,714,489,840,
496,149,212,100,272,989,136,352,905,008,351,703,668,091,129,420,325,196,918,
192,296,715,256,857,855,983,542,443,350,047,740,201,703,328,976,475,708,645,
156,175,033,336,797,486,416,959,382,101,668,469,154,390,519,684,827,441,494,
322,308,676,962,202,892,464,161,034,556,054,814,347,191,288,996,693,376,440,
068,226,303,792,367,992,314,059,666,231,973,958,623,181,543,134,022,025,954,
467,101,904,739,276,286,514,296,601,957,480,500,332,453,842,215,063,411,632,
891,073,657,110,227,656,266,902,361,921,734,410,225,064,621,316,877,825,121,
132,167,732,130,943,998,659,328,806,583,425,565,827,629,569,183,676,582,061,
804,165,466,057,083,638,512,751,575,405,500,320,069,179,332,571,325,893,481,
042,420,638,243,409,218,417,848,830,187,268,225,716,621,309,667,131,982,955,
649,807,336,387,981,942,424,789,412,236,469,213,972,374,360,016,450,175,573,
888,936,796,845,985,167,120,272,633,004,581,552,068,601,139,303,793,841,561,
917,948,287,935,427,366,503,618,146,225,161,779,340,576,331,363,923,407,539,
654,247,519,270,042,187,874,776,296,465,232,583,579,300,919,393,280,053,533,
961,169,318,574,190,597,971,947,797,499,663,285,552,083,589,358,442,145,890,
372,273,308,548,908,166,778,446,458,372,077,104,191,187,221,078,952,215,757,
721,722,131,802,649,931,294,681,794,905,708,885,439,091,969,658,210,115,948,
759,121,014,348,915,258,765,733,848,922,545,536,188,052,655,869,903,506,592,
233,196,196,024,346,564,791,948,064,693,036,523,241,266,411,927,370,755,003,
751,887,410,953,862,523,578,279,095,339,272,960,979,661,442,200,026,095,102,
469,907,189,657,038,734,909,684,974,098,103,865,363,755,805,775,122,169,298,
091,898,486,078,517,330,851,570,198,641,522,649,218,146,473,328,410,598,242,
776,473,172,699,271,144,531,427,487,841,471,915,050,400,160,298,582,514,006,
798,069,825,844,408,783,880,265,865,041,682,562,255,402,844,949,631,560,767,
654,068,736,241,111,165,072,826,413,215,935,616,384,828,383,147,069,989,747,
288,137,211,147,199,267,495,780,539,692,815,799,133,363,560,467,221,673,598,
023,383,342,896,755,529,857,779,313,183,480,486,043,226,690,139,267,496,961,
462,810,096,844,773,511,269,982,945,666,147,503,138,477,803,683,642,222,427,
823,533,748,387,219,020,472,343,200,789,197,372,961,498,988,817,249,035,754,
854,618,106,090,154,980,020,539,701,962,883,740,687,885,186,240,361,544,471,
122,073,070,695,112,302,415,160,387,113,777,975,270,550,833,283,345,330,877,
277,927,423,874,909,748,707,709,066,500,394,597,639,433,269,782,853,421,468,
350,428,215,273,479,057,534,964,058,330,268,804,080,560,025,834,538,793,761,
302,080,526,321,129,786,669,957,064,641,675,240,016,681,340,750,447,129,295,
758,700,308,848,733,041,754,048,129,869,933,020,742,266,299,963,999,924,437,
779,349,430,074,886,904,314,712,750,388,321,434,661,452,811,445,085,886,480,
278,503,566,909,368,688,323,339,486,910,294,763,854,667,707,646,182,985,582,
119,980,549,545,546,162,288,409,233,692,917,430,930,793,571,521,037,864,331,
437,115,388,731,412,966,111,982,214,053,621,851,628,478,605,955,987,280,781,
042,297,462,163,050,754,538,218,064,097,090,350,224,931,058,407,841,576,419,
701,096,121,171,401,425,812,173,787,090,764,730,579,869,273,970,968,859,356,
293,819,341,473,497,869,425,250,300,434,754,966,543,380,320,273,057,177,272,
304,352,983,189,240,953,759,597,821,668,815,182,697,581,160,928,874,285,984,
071,953,871,264,671,850,818,251,307,071,367,673,683,609,412,255,697,264,259,
309,689,573,325,195,405,599,918,971,560,535,715,042,351,448,400,326,169,051,
135,555,893,598,051,354,715,437,807,327,092,167,663,430,950,325,771,272,891,
120,713,465,976,395,981,574,887,448,254,705,015,512,076,240,989,289,714,862,
446,075,595,327,633,852,110,029,173,616,438,729,543,996,175,612,504,191,120,
791,823,897,133,552,424,684,940,365,516,571,078,065,374,670,354,117,230,186,
124,625,232,763,247,821,047,266,633,522,294,251,717,463,496,255,612,173,245,
953,015,231,195,266,975,232,345,880,123,946,085,901,543,355,842,735,477,863,
676,489,127,681,594,297,598,037,890,276,814,923,460,481,754,318,193,568,376,
781,760,427,160,407,400,398,260,722,700,055,228,871,274,265,213,791,569,540,
462,501,774,456,884,760,187,565,935,881,274,984,712,401,701,439,170,789,646,
248,504,016,878,042,749,056,950,776,024,848,732,606,916,384,990,861,624,790,
752,598,892,713,935,580,765,733,286,838,843,825,230,513,611,230,484,769,101,
643,590,352,263,609,571,095,944,977,868,062,640,391,472,432,844,921,646,517,
664,541,978,865,327,750,418,216,830,479,461,916,575,449,479,091,640,762,545,
497,612,975,756,934,989,282,404,784,474,687,799,206,287,490,647,468,975,787,
061,177,061,972,229,920,524,260,175,614,460,865,639,068,738,662,165,611,692,
269,025,033,420,071,717,086,408,282,737,912,050,935,498,858,460,154,939,077,
523,280,469,609,288,315,862,994,359,101,611,649,701,495,622,302,407,502,277,
189,943,033,595,201,149,081,163,738,971,814,375,642,313,332,853,589,156,711,
289,707,376,872,621,905,681,408,418,676,978,512,708,808,989,776,500,853,780,
905,171,509,867,097,077,919,167,280,983,388,311,595,057,084,947,067,164,957,
017,172,440,428,273,457,405,321,783,554,388,262,504,134,977,723,697,358,870,
927,543,484,586,676,699,000,724,931,477,651,339,072,313,288,233,494,462,614,
328,440,125,405,949,062,564,127,393,546,935,218,207,639,629,368,086,234,150,
672,819,884,075,406,479,145,424,432,738,163,573,073,615,199,086,833,928,559,
916,932,383,647,093,079,697,978,780,855,642,732,126,778,927,802,321,989,713,
647,480,586,971,528,036,021,323,196,303,763,007,562,426,225,182,509,431,260,
127,718,942,893,851,286,274,111,205,235,251,515,658,082,890,325,546,601,831,
581,722,929,247,122,274,041,182,927,462,924,212,785,021,763,682,867,636,741,
429,122,254,249,917,211,287,589,933,660,227,269,076,695,439,741,600,873,737,
843,989,286,356,385,398,332,767,897,725,604,812,628,973,847,461,789,216,698,
639,937,295,318,019,132,632,928,637,681,449,115,400,308,520,106,251,691,746,
965,899,447,018,110,758,081,434,241,048,411,629,710,971,737,126,884,721,854,
785,283,313,256,178,148,071,959,277,727,138,909,166,934,438,737,902,128,411,
077,431,823,949,251,251,924,079,444,996,413,397,666,130,798,373,791,433,502,
277,709,157,147,620,606,356,350,611,364,586,406,744,152,802,374,834,155,287,
750,580,066,538,231,626,951,788,277,029,666,254,979,582,681,991,763,068,411,
643,104,353,811,260,760,762,078,943,759,554,862,680,129,948,149,732,099,694,
305,977,650,317,972,335,324,150,064,706,475,005,507,290,398,038,578,648,196,
533,186,675,612,409,851,235,209,354,159,593,831,832,877,321,809,625,630,476,
934,258,408,518,545,508,549,865,760,049,014,725,936,699,255,423,503,333,833,
105,071,233,065,381,253,967,465,876,962,700,794,680,891,170,337,155,543,455,
549,782,315,794,123,095,819,704,915,376,164,006,513,430,206,916,423,120,743,
491,709,461,590,842,290,040,235,395,576,679,735,162,116,096,020,449,506,155,
616,454,800,282,841,920,804,573,350,317,383,216,967,190,152,375,126,381,466,
727,367,757,987,696,660,653,544,478,083,648,803,554,304,179,504,189,422,910,
729,857,873,284,421,776,597,258,832,781,366,687,827,827,728,504,478,612,018,
622,392,800,634,501,673,150,917,435,324,465,160,704,691,084,785,756,970,325,
184,712,792,942,047,619,866,592,049,801,712,609,372,026,063,373,863,309,579,
145,619,177,781,958,931,948,443,839,471,231,918,312,439,998,208,657,027,340,
458,480,296,268,767,428,392,683,231,523,422,972,948,130,571,855,286,198,672,
469,433,609,219,045,735,722,718,058,561,964,027,477,323,480,085,537,329,062,
451,743,019,636,790,177,194,284,957,626,129,474,899,007,204,018,446,576,256,
637,595,829,656,499,752,749,652,682,496,030,149,001,322,153,514,086,227,989,
587,068,783,835,104,385,946,840,411,854,281,741,691,064,527,153,815,528,207,
326,270,031,121,768,664,624,134,218,319,275,068,452,518,355,207,065,972,202,
969,589,655,919,063,176,333,663,726,062,367,939,857,883,968,746,453,255,151,
655,349,275,193,068,767,515,488,023,921,627,778,033,641,881,809,927,639,781,
762,748,678,413,504,130,876,125,488,133,889,284,104,336,875,353,528,030,140,
338,861,628,350,373,200,754,443,984,321,628,778,504,813,162,944,847,415,829,
851,071,134,216,297,860,069,738,579,253,711,284,986,273,321,074,306,308,343,
428,959,558,322,630,365,952,034,949,922,503,872,701,480,095,203,576,011,516,
127,033,537,886,802,076,882,866,843,242,677,317,440,464,042,442,753,108,310,
049,533,370,998,529,636,891,159,669,956,396,087,653,402,426,416,437,021,814,
977,870,113,407,061,771,901,015,116,905,880,692,626,759,021,919,094,329,671,
248,639,917,798,384,679,167,421,989,134,377,212,170,995,905,745,765,403,777,
083,763,570,713,044,122,889,410,124,738,714,892,862,852,516,847,318,663,679,
332,324,601,065,456,846,039,455,547,052,950,477,777,896,351,701,511,023,807,
667,531,036,012,110,130,376,111,867,647,624,892,491,437,655,472,785,415,046,
122,266,013,056,058,454,379,970,337,177,002,871,357,197,713,306,050,461,032,
113,488,742,524,800,684,281,052,329,361,748,028,537,637,669,069,744,606,843,
015,095,921,701,686,946,821,331,068,285,236,006,614,903,263,032,581,600,282,
059,173,389,711,788,196,350,020,933,870,354,868,973,481,320,440,150,998,984,
546,036,827,816,425,342,314,769,995,958,615,596,192,989,401,594,678,458,938,
873,576,471,150,332,607,314,069,251,898,808,754,591,316,995,853,233,861,792,
594,380,247,137,979,549,639,099,311,224,171,109,010,720,447,302,733,021,594,
316,705,974,665,544,170,942,067,693,414,358,777,700,815,460,572,929,379,336,
628,835,915,578,152,373,792,925,866,017,396,016,468,890,106,660,679,818,408,
864,841,273,674,584,359,873,465,786,315,649,128,823,410,916,354,622,674,157,
161,554,822,575,192,300,459,267,032,293,837,223,639,645,425,870,989,046,913,
951,403,623,662,573,403,260,551,656,523,872,963,539,704,193,306,289,788,552,
456,481,867,552,159,843,935,661,649,587,193,168,067,144,942,761,316,697,708,
853,668,757,247,215,313,664,115,157,558,619,478,450,855,200,954,980,407,977,
322,334,319,546,084,269,413,876,979,643,480,562,336,135,269,772,166,183,323,
694,946,034,193,615,902,404,720,310,572,385,827,636,660,829,412,512,995,681,
168,662,514,817,055,343,110,068,705,632,317,061,525,745,831,995,546,798,306,
354,567,487,621,286,591,440,973,378,590,094,574,155,046,234,084,494,614,989,
910,339,626,405,015,083,747,839,750,299,820,934,224,747,850,121,652,143,894,
276,952,586,140,576,678,162,242,689,004,616,361,556,345,296,430,053,151,223,
524,347,513,578,224,870,265,530,124,531,005,770,495,054,686,148,510,991,215,
661,791,505,799,155,228,124,428,454,842,142,721,009,309,047,241,301,462,403,
412,850,864,969,622,222,876,490,864,090,982,469,976,651,419,375,459,746,454,
977,012,911,527,233,346,303,937,516,281,420,632,710,115,286,491,778,721,339,
270,329,859,566,868,422,627,281,480,425,389,378,172,473,720,466,841,344,699,
265,193,868,199,788,464,656,459,354,830,731,370,765,583,738,840,090,520,446,
530,918,428,219,769,217,775,261,323,380,967,774,692,967,185,889,646,544,122,
025,765,973,938,404,631,033,899,620,546,185,713,871,637,516,713,466,467,647,
187,426,130,288,265,091,863,924,883,222,279,195,144,241,193,590,219,982,064,
401,617,320,034,276,845,011,971,354,792,875,611,713,019,185,157,088,725,798,
092,918,270,763,819,847,629,462,867,075,766,766,401,077,238,354,219,369,421,
693,995,700,303,564,318,195,876,953,481,437,429,041,861,703,391,937,433,154,
504,393,693,904,594,763,008,066,791,352,593,667,187,418,621,315,814,655,684,
954,972,127,955,144,667,056,123,427,051,070,691,125,722,117,861,354,609,781,
148,857,015,030,047,623,789,772,269,142,196,306,893,640,635,705,679,425,301,
318,584,355,877,076,367,587,962,019,600,455,793,311,602,003,656,150,524,862,
373,729,788,475,750,828,831,017,200,671,847,254,867,431,662,958,903,753,646,
705,989,737,567,783,467,418,232,398,825,373,167,483,675,845,095,606,477,429,
032,301,032,011,530,819,724,320,759,954,310,288,609,055,331,251,707,070,817,
742,638,075,726,034,911,514,629,163,531,906,919,465,532,156,753,266,061,158,
755,831,303,359,791,803,688,860,598,435,099,014,950,819,940,196,137,143,112,
797,315,338,553,703,501,817,676,694,260,832,867,193,747,518,012,597,925,102,
291,465,668,632,039,404,125,389,184,694,673,340,284,074,495,421,044,691,329,
816,807,235,219,131,523,498,519,868,302,683,471,938,012,010,223,306,305,070,
579,991,318,568,423,818,485,082,335,037,458,472,340,545,929,373,674,188,964,
741,891,472,023,451,457,985,069,062,094,577,653,301,189,435,475,711,827,693,
812,515,134,800,098,010,426,461,522,564,202,118,358,265,834,464,972,450,184,
376,826,505,301,804,469,170,349,068,733,605,867,235,895,001,412,454,872,009,
784,864,006,790,491,098,915,784,070,596,553,000,297,959,266,688,576,115,759,
355,998,788,537,668,453,174,184,859,961,951,985,870,042,850,314,414,929,733,
681,460,380,950,405,410,176,162,831,910,054,070,193,460,726,179,872,760,604,
456,868,894,209,289,616,602,559,165,773,120,519,894,758,879,962,811,379,390,
552,783,634,071,059,799,166,720,899,965,434,742,465,228,972,212,196,315,312,
575,039,314,341,101,732,059,701,040,658,139,273,817,761,663,390,225,955,283,
214,725,906,736,847,547,803,058,401,063,498,718,502,015,320,525,301,934,540,
327,505,181,233,366,323,140,159,383,749,071,593,032,144,884,871,644,656,109,
698,061,396,322,113,385,468,370,524,030,775,138,276,275,935,540,989,914,386,
908,878,031,179,427,300,021,291,806,638,305,097,989,964,660,466,562,554,447,
631,312,090,514,356,580,401,033,815,336,865,572,094,762,527,148,021,614,721,
302,957,593,128,364,090,694,490,900,128,957,307,678,762,694,810,431,522,303,
932,176,620,870,005,854,861,199,733,528,752,652,762,533,403,555,037,554,996,
420,137,687,243,040,271,532,432,827,778,694,748,944,089,026,388,492,435,909,
372,510,047,747,683,824,415,630,674,298,932,179,285,457,657,876,216,763,935,
955,525,196,771,069,391,505,171,070,401,626,447,256,882,164,372,806,483,489,
232,605,605,236,808,197,778,740,324,438,591,312,987,961,725,502,814,626,295,
467,504,559,462,985,091,248,089,563,534,515,096,006,209,502,716,671,122,893,
643,486,876,821,225,672,784,870,286,415,172,864,471,898,702,713,192,784,313,
446,460,482,211,615,460,104,483,598,146,228,283,296,017,204,721,287,035,387,
520,566,484,663,617,978,149,301,355,488,782,162,181,165,017,119,397,575,980,
206,131,099,492,243,882,248,251,048,731,941,582,392,406,264,761,432,888,885,
157,431,164,178,929,381,049,597,443,922,814,684,413,594,711,106,019,763,713,
145,495,135,841,216,736,949,414,464,666,553,869,828,384,281,936,529,139,171,
016,246,899,062,682,437,321,993,286,286,046,240,187,793,357,666,540,629,483,
882,666,812,415,983,433,456,419,345,267,985,806,790,382,665,537,681,407,484,
916,755,862,017,136,162,411,113,931,011,511,990,177,795,984,838,099,069,111,
072,035,397,034,262,357,755,564,724,713,545,709,594,555,714,442,263,951,608,
165,185,741,341,367,000,937,598,965,187,969,476,195,416,776,371,811,607,782,
983,532,967,047,111,073,867,602,766,987,645,353,968,285,879,625,544,291,116,
336,080,957,859,524,694,412,905,195,426,533,126,094,412,612,218,169,911,258,
073,379,506,368,138,554,406,155,725,362,949,171,815,696,523,526,286,814,641,
956,889,409,704,343,127,554,964,778,632,667,534,754,610,465,380,745,014,426,
359,789,974,704,224,176,172,030,821,956,292,712,348,960,586,036,053,815,431,
445,621,508,214,968,894,687,928,508,783,506,231,833,153,237,810,181,126,368,
953,509,566,817,168,999,749,954,472,045,056,344,034,732,641,601,591,851,637,
399,672,143,163,063,602,081,517,612,049,879,374,829,945,008,567,637,848,846,
387,466,782,022,564,079,892,741,947,487,938,729,415,325,682,665,994,509,814,
429,867,324,562,698,163,605,056,474,724,245,036,223,076,577,507,460,734,400,
238,482,318,479,160,832,362,310,511,324,019,729,733,232,924,363,165,334,745,
125,098,944,214,284,049,442,528,784,458,795,948,785,665,950,887,151,054,118,
748,326,347,390,458,324,219,502,730,234,553,474,818,714,418,736,082,720,251,
626,051,156,358,140,920,633,249,812,791,711,873,324,266,620,459,483,938,987,
069,909,969,381,844,174,601,565,745,134,136,745,025,870,586,931,623,455,333,
294,968,442,954,544,505,930,488,135,067,912,551,220,211,874,511,918,360,358,
221,755,597,121,626,054,783,025,263,242,846,762,583,318,919,315,579,818,757,
560,567,629,867,760,723,651,853,941,423,250,147,095,547,885,805,426,819,152,
924,110,391,378,536,744,712,359,892,739,587,267,428,164,801,521,618,179,349,
584,019,051,962,976,493,400,016,590,227,253,795,390,813,627,359,158,467,311,
111,737,725,352,897,806,054,847,498,304,050,066,217,353,208,845,972,528,016,
685,204,106,400,958,078,060,171,766,781,705,751,940,500,509,285,873,177,907,
886,643,737,207,099,357,404,164,805,004,828,391,702,243,334,680,316,184,134,
222,148,259,503,942,918,022,027,063,837,672,363,694,061,472,154,579,221,170,
903,164,848,610,807,779,039,765,095,496,532,275,253,458,388,451,435,219,866,
620,207,405,424,937,641,180,020,655,588,573,595,063,019,805,859,393,360,639,
648,659,622,432,364,955,025,414,973,735,624,750,611,252,891,029,812,117,808,
180,705,807,361,915,280,058,832,760,593,580,963,249,547,194,119,475,763,905,
778,024,437,735,036,177,473,739,091,523,035,076,058,653,173,107,155,965,881,
669,834,612,633,993,522,375,582,583,646,803,917,879,265,466,906,418,397,106,
247,558,506,321,042,881,062,026,498,752,072,257,695,020,281,769,034,379,673,
508,909,091,540,174,403,453,957,911,903,529,665,087,224,409,227,234,096,536,
358,341,089,806,268,021,122,919,021,602,664,098,937,617,432,150,024,496,944,
901,658,981,590,952,254,515,699,640,419,124,615,625,703,766,814,481,113,394,
757,506,434,474,215,121,661,891,060,461,485,860,097,387,652,322,033,653,076,
277,244,149,285,299,858,497,663,745,838,635,292,341,790,090,285,686,189,880,
190,941,390,378,601,222,182,486,361,445,854,860,926,005,629,826,011,185,638,
813,380,493,221,745,306,858,695,662,226,609,217,051,397,181,419,934,800,254,
132,833,469,176,967,732,833,934,163,933,321,323,713,071,350,149,178,405,782,
467,715,111,322,197,662,245,862,838,761,054,076,446,274,536,052,305,492,256,
409,703,385,374,355,830,359,665,483,757,573,156,067,354,815,031,952,045,973,
229,899,120,899,677,990,786,900,609,129,959,758,869,309,434,765,209,472,575,
659,718,956,078,411,861,451,540,634,381,787,341,127,833,200,834,787,586,336,
383,113,916,274,824,882,463,928,594,821,539,777,235,740,750,467,329,733,884,
943,137,595,035,228,932,283,638,307,494,870,978,766,317,635,202,049,836,758,
578,380,343,996,416,539,910,916,069,227,088,676,722,299,786,314,733,831,431,
534,193,687,815,071,777,620,726,139,369,018,285,636,869,046,614,035,751,213,
491,704,204,516,901,622,168,374,763,625,518,289,586,548,828,989,133,964,181,
358,613,994,384,226,310,972,747,697,176,200,014,710,469,759,670,669,686,213,
485,114,477,321,951,345,958,370,618,752,183,818,581,041,336,827,148,004,865,
042,783,416,958,856,291,768,323,527,551,917,768,389,589,347,664,100,978,887,
872,150,486,539,431,815,961,978,582,282,591,843,656,356,401,281,520,011,412,
597,474,363,874,575,389,795,539,722,633,796,613,825,264,694,367,405,238,011,
009,927,769,090,355,354,603,718,783,169,805,329,205,253,129,725,815,263,271,
884,297,668,096,131,377,186,009,712,332,303,055,516,050,692,168,670,697,708,
548,221,749,865,411,957,712,026,760,014,805,085,121,385,790,643,496,895,841,
987,189,045,426,131,433,045,651,978,571,498,578,731,478,303,706,807,577,735,
876,630,345,979,821,775,661,769,256,213,183,036,076,592,844,712,165,583,687,
412,388,342,885,400,797,763,727,492,690,398,222,806,164,889,239,456,128,610,
326,419,563,046,819,047,466,789,533,896,620,565,919,490,512,602,922,948,808,
147,596,227,072,609,725,563,290,369,973,883,424,683,753,646,065,957,513,402,
438,735,699,314,162,547,395,460,156,810,381,947,141,642,265,400,602,775,514,
974,329,361,965,959,193,753,357,827,496,479,695,216,152,969,162,713,399,845,
326,309,062,949,745,761,499,593,114,944,775,003,101,733,724,576,057,754,097,
302,054,318,908,950,127,585,805,668,590,288,381,291,274,085,920,003,416,261,
369,953,846,314,208,139,998,366,923,953,041,982,726,202,607,148,321,418,123,
251,168,049,172,892,780,311,203,816,538,438,652,429,040,831,494,954,784,336,
032,202,193,778,269,113,635,032,001,453,518,730,222,254,415,942,843,209,264,
993,809,190,963,788,817,200,815,631,430,563,023,073,919,715,637,506,694,098,
967,587,114,132,319,326,566,757,095,878,667,991,016,760,335,632,931,181,800,
529,136,358,676,534,386,759,076,632,205,022,552,400,086,218,698,501,777,786,
066,061,643,932,691,601,801,245,028,909,378,298,687,402,140,983,555,568,412,
336,597,807,756,928,258,082,783,668,286,273,262,707,366,759,215,948,082,893,
382,699,162,237,325,907,980,183,878,837,701,691,249,164,043,676,338,792,642,
240,071,605,018,632,993,237,934,325,687,516,795,078,659,274,050,994,390,962,
124,152,889,887,242,174,486,765,555,460,052,394,814,992,214,138,614,315,337,
974,444,851,584,002,932,966,109,029,215,335,276,079,649,783,732,199,741,224,
905,525,632,580,269,885,545,864,220,259,961,323,306,173,494,567,258,680,316,
252,447,762,924,258,659,667,840,527,178,101,549,649,662,137,009,920,429,676,
530,994,396,235,253,281,586,094,691,833,581,678,590,053,603,311,573,766,588,
325,715,646,688,777,647,568,693,250,328,351,428,253,373,938,742,396,657,850,
733,205,048,703,931,145,149,695,912,818,472,880,364,002,327,870,147,184,440,
236,226,051,112,331,675,976,655,300,935,384,696,981,761,134,365,100,479,604,
964,019,565,768,118,983,177,258,153,898,451,064,362,441,203,546,408,487,155,
534,356,807,489,500,195,486,635,420,107,290,218,438,436,307,522,520,206,856,
929,393,141,157,687,211,465,109,579,418,220,404,706,870,158,685,166,259,353,
364,037,299,124,159,252,449,864,711,211,761,526,183,248,944,074,267,891,360,
445,806,227,257,750,990,284,132,529,634,993,196,233,356,456,236,482,361,837,
277,649,300,749,067,772,059,148,643,254,645,769,047,505,756,275,379,143,554,
904,858,832,913,503,112,452,507,360,524,009,172,746,742,214,107,768,970,608,
808,860,377,610,870,325,057,180,510,985,700,214,540,809,394,087,563,694,539,
145,701,855,016,764,519,177,466,909,121,573,469,459,571,194,151,556,819,852,
293,112,097,815,591,356,985,692,591,147,586,329,699,103,144,510,710,820,123,
386,500,176,440,902,815,625,859,082,913,048,322,466,689,946,143,700,068,854,
565,851,182,065,092,888,840,744,740,890,368,331,926,624,176,424,603,763,349,
705,430,826,676,139,771,504,617,400,575,009,820,996,571,472,052,455,382,724,
458,161,234,609,324,550,516,687,193,636,893,640,826,339,077,280,728,026,742,
170,644,516,445,330,052,478,008,029,459,659,698,147,574,126,722,070,813,525,
655,538,478,404,797,926,787,590,498,761,385,613,608,670,982,054,203,910,014,
538,886,142,837,034,043,373,551,869,564,165,038,594,551,860,368,576,175,567,
840,374,050,607,770,230,212,366,664,347,385,614,969,318,000,058,902,106,155,
937,209,330,532,663,681,539,496,962,532,298,569,508,308,862,565,058,561,279,
745,143,602,561,861,766,036,274,906,039,122,539,256,531,340,905,256,510,343,
368,404,237,556,857,479,551,783,377,884,288,685,436,821,232,032,135,117,657,
380,540,793,438,008,571,804,624,699,102,614,736,910,051,160,801,190,819,375,
625,644,312,054,873,108,643,439,196,201,710,443,586,235,214,081,932,848,916,
819,222,988,063,798,762,373,178,425,215,651,363,241,852,695,697,336,655,332,
886,437,575,148,950,719,829,590,256,524,763,325,100,127,413,893,747,620,149,
862,759,253,058,109,294,234,308,870,431,366,509,670,944,121,554,119,528,816,
010,792,773,277,264,081,524,604,098,775,970,945,570,178,406,054,810,045,152,
303,801,297,844,045,270,097,215,912,174,976,845,625,201,022,548,246,160,376,
025,761,958,273,791,891,163,142,244,509,431,678,828,329,447,915,446,846,981,
517,960,952,057,942,274,356,288,191,403,114,592,039,315,417,129,096,581,343,
995,434,917,003,375,730,361,083,525,618,662,359,074,388,392,331,694,627,571,
468,681,735,442,746,148,174,778,504,830,819,291,260,433,055,417,967,712,897,
206,012,660,501,610,982,426,294,078,502,026,260,338,702,129,418,858,404,800,
251,256,483,978,154,659,162,419,281,181,222,878,533,875,924,626,843,549,331,
246,255,518,169,286,960,372,101,953,060,014,006,167,260,099,665,908,636,712,
310,430,360,845,995,706,544,785,129,722,361,987,987,834,752,393,843,523,152,
520,703,817,233,796,813,152,256,454,696,608,134,681,647,078,106,241,032,999,
217,118,210,422,498,039,252,766,986,758,640,537,351,138,550,592,093,435,584,
133,624,328,497,917,774,639,111,816,475,110,591,070,024,626,505,455,883,638,
449,522,120,962,714,968,406,775,587,304,219,240,323,698,630,430,248,056,111,
946,302,369,268,271,185,516,068,667,837,955,903,339,712,659,047,511,377,960,
611,796,852,217,211,932,718,440,259,309,746,949,762,573,324,960,642,283,626,
788,388,196,245,736,196,747,843,505,655,750,756,462,830,436,833,886,836,537,
083,820,014,996,448,861,713,383,392,967,603,587,710,306,158,876,264,133,421,
591,990,225,718,258,807,243,193,233,400,384,050,913,501,401,879,215,115,044,
893,189,259,999,584,771,572,352,245,483,886,696,991,577,787,035,852,899,498,
218,676,370,951,294,286,056,208,053,392,774,110,862,139,436,811,158,709,882,
246,454,973,224,471,402,061,548,576,130,575,677,624,723,789,085,404,421,664,
947,572,595,628,830,786,389,287,196,196,863,072,696,342,917,002,697,509,795,
446,212,060,893,569,096,450,319,801,459,013,849,237,282,007,453,292,099,846,
514,601,190,280,650,099,937,656,238,851,072,722,606,192,329,546,344,470,715,
462,468,066,891,321,503,872,903,939,299,893,691,975,602,509,566,879,149,199,
001,090,528,687,442,124,402,597,279,968,231,629,264,348,403,114,397,149,505,
157,874,933,342,748,828,045,361,642,625,105,863,348,570,463,536,693,443,141,
047,784,133,308,798,330,610,282,785,531,754,334,766,933,415,862,745,701,291,
308,362,612,431,991,028,701,570,961,134,542,205,924,022,526,734,773,412,420,
811,655,455,303,882,280,535,362,961,242,148,113,114,477,392,721,350,159,719,
670,938,996,725,448,766,521,560,827,022,983,348,114,252,777,650,189,023,499,
703,033,213,586,990,276,664,997,372,352,288,243,776,145,422,639,694,801,873,
843,734,391,078,970,569,254,123,354,329,410,469,407,561,680,985,334,086,209,
490,716,480,941,001,982,224,296,376,797,172,876,820,492,621,117,700,818,873,
684,824,316,196,777,824,800,458,659,526,030,010,351,264,520,334,376,027,164,
604,261,486,891,243,860,451,349,717,744,049,948,301,949,796,378,126,230,883,
727,563,441,676,368,187,775,832,882,186,403,536,145,200,381,311,846,846,928,
269,073,723,969,376,437,798,567,756,026,206,723,039,882,347,466,882,478,480,
369,712,905,107,452,790,406,391,305,521,001,916,378,688,050,525,704,144,900,
982,427,390,407,294,194,906,448,234,701,325,643,366,053,222,975,555,180,491,
703,858,160,230,138,584,514,757,186,135,612,598,579,889,536,340,181,957,490,
478,093,528,965,758,287,379,108,039,535,804,955,040,502,964,027,953,580,789,
339,311,072,441,506,100,493,887,073,858,948,575,503,244,320,977,715,963,029,
738,675,835,731,804,492,568,575,693,708,543,548,200,934,260,982,582,595,391,
923,995,685,285,222,166,588,998,412,487,869,521,598,185,504,118,087,184,139,
842,004,916,916,411,834,048,927,084,542,648,131,911,319,175,093,490,327,152,
362,876,602,046,530,257,591,711,949,548,554,912,216,212,653,548,423,108,436,
194,587,861,532,107,440,912,760,443,384,300,252,979,122,038,697,957,334,951,
997,203,149,506,107,371,539,802,994,101,065,573,280,068,450,362,057,344,670,
322,981,405,141,699,292,303,199,457,727,443,182,764,719,923,197,012,802,715,
515,122,468,126,395,842,194,717,212,893,325,958,880,058,948,254,713,806,461,
150,972,465,256,576,785,099,658,525,177,462,020,259,313,440,052,219,312,841,
931,738,716,667,344,464,670,354,346,692,824,497,207,589,473,039,368,738,114,
449,548,916,589,763,048,300,683,906,485,397,113,031,990,302,674,697,127,156,
889,533,834,987,470,130,929,321,798,362,505,486,473,280,457,852,948,954,284,
025,273,979,017,124,456,637,284,881,506,402,744,077,762,124,903,877,937,780,
638,147,044,355,425,941,884,123,877,179,428,027,063,243,492,326,331,141,518,
215,187,688,065,072,472,994,055,266,904,555,080,250,117,855,798,011,564,299,
890,340,328,516,251,762,158,946,379,367,079,672,855,099,660,815,981,376,188,
576,866,072,005,991,772,145,514,270,527,788,838,547,004,926,101,282,467,530,
707,810,571,264,579,458,708,655,892,258,279,858,363,970,238,095,049,464,420,
418,360,838,825,430,268,594,365,627,792,520,083,504,874,894,065,689,972,203,
931,677,829,633,335,868,171,493,785,517,137,193,824,706,504,089,705,362,013,
085,072,623,569,067,199,156,956,484,270,072,485,927,031,512,848,754,823,089,
098,556,194,334,243,181,734,597,474,970,258,764,160,096,469,821,769,649,351,
144,834,239,661,167,860,780,978,257,325,152,257,160,452,932,301,636,903,920,
758,013,571,413,009,230,518,866,748,290,000,864,066,160,224,879,617,578,564,
289,213,528,421,898,225,393,636,429,131,806,889,076,642,660,944,100,774,958,
671,321,504,701,213,904,031,050,272,656,063,459,734,907,594,742,699,669,274,
409,570,179,879,508,752,172,070,978,573,211,007,200,148,499,880,171,104,202,
161,517,354,539,924,429,811,604,230,805,293,527,927,619,723,190,047,694,892,
816,680,878,036,199,519,525,085,893,316,108,432,226,044,145,644,678,364,848,
817,696,809,342,693,662,938,977,735,944,407,164,618,674,124,503,636,632,714,
050,658,343,185,284,261,046,684,032,818,602,237,833,901,467,876,991,321,746,
465,625,035,502,930,775,800,715,602,236,245,671,483,505,731,256,949,606,067,
848,001,572,886,686,993,671,530,453,089,381,102,774,927,546,263,766,526,125,
881,368,703,714,262,967,306,064,166,782,354,065,071,271,553,225,739,981,781,
320,895,966,452,784,969,778,601,834,350,870,722,586,454,261,325,800,879,533,
774,939,121,339,039,590,683,270,579,256,709,117,634,650,709,932,550,627,624,
069,852,612,481,724,604,838,132,914,815,337,603,858,966,813,230,706,351,861,
004,550,159,763,287,237,870,108,677,578,065,580,555,250,828,225,352,616,390,
338,676,303,669,675,164,816,566,027,877,166,186,594,328,225,476,979,146,145,
004,729,390,403,894,734,454,503,459,520,492,463,173,392,951,061,380,892,727,
877,277,811,930,119,443,797,689,582,274,786,677,144,987,325,039,545,568,715,
879,266,536,867,744,651,906,639,365,237,754,979,445,956,856,268,705,497,561,
979,561,900,750,168,344,453,706,791,151,897,975,087,617,381,145,550,245,555,
605,096,128,842,030,888,661,946,584,365,475,436,320,834,436,624,424,607,938,
143,004,200,131,256,177,613,451,546,693,024,088,810,128,838,699,501,762,844,
194,819,604,235,813,729,058,649,272,842,788,243,181,692,857,234,428,700,041,
610,622,561,952,283,149,275,763,941,778,785,993,937,970,717,649,725,114,379,
697,537,517,516,339,466,888,714,830,661,134,450,661,390,333,697,499,673,306,
095,819,882,550,413,698,108,475,000,779,520,242,422,468,643,618,947,007,274,
916,779,391,978,612,061,596,290,199,017,613,600,503,414,936,167,279,741,740,
872,671,525,059,904,866,627,863,280,289,793,376,784,619,964,163,307,645,249,
189,983,164,373,120,111,616,405,867,200,437,908,829,703,762,186,794,883,266,
533,046,650,423,334,993,341,759,456,536,136,221,155,061,875,825,122,662,610,
221,237,046,975,709,608,347,858,187,051,433,816,412,194,924,316,078,431,241,
380,411,446,092,949,312,443,663,982,499,691,784,314,476,674,704,703,715,952,
234,793,279,320,342,024,796,669,861,225,058,331,612,237,516,234,670,599,609,
005,304,424,753,650,383,465,054,853,558,799,572,887,529,660,982,501,634,407,
649,632,662,210,549,095,024,697,700,085,990,893,317,331,998,185,594,298,051,
066,864,140,290,099,578,449,216,707,037,937,350,190,150,895,918,455,440,081,
710,463,535,992,961,684,584,038,014,077,013,212,357,914,459,687,998,343,484,
079,040,996,895,791,068,394,773,746,364,811,173,474,648,089,037,909,883,627,
754,642,839,012,179,057,688,269,433,903,979,218,669,991,310,367,566,680,516,
963,309,304,983,125,248,742,456,534,252,008,264,903,323,434,528,104,498,157,
070,865,064,274,244,891,769,009,170,361,920,960,284,246,261,265,001,386,037,
309,756,525,304,548,509,917,468,193,930,580,229,362,943,668,079,214,480,407,
543,785,414,507,334,140,755,916,693,960,222,484,995,581,200,970,819,163,288,
242,498,261,288,008,686,944,708,061,630,512,317,736,043,875,392,362,363,370,
073,630,705,538,707,741,800,259,104,376,268,218,564,425,322,647,653,771,942,
480,844,385,812,588,272,893,067,651,700,355,633,974,988,383,974,678,741,339,
941,962,186,687,196,684,070,731,189,904,676,322,115,556,005,127,802,382,151,
742,959,951,246,860,640,969,783,773,580,785,103,300,658,506,441,236,587,372,
550,826,995,694,058,442,943,482,404,433,145,000,982,372,954,907,368,449,919,
615,696,197,151,843,462,987,216,673,901,602,681,833,677,210,302,099,056,768,
154,805,436,544,874,213,832,046,028,088,850,586,734,127,333,255,329,247,368,
935,213,604,185,422,369,005,618,721,230,429,284,588,747,560,633,938,643,976,
046,225,567,158,569,728,823,626,290,388,024,022,481,558,612,554,864,494,861,
494,150,024,315,604,994,850,666,176,618,409,364,835,947,933,115,748,229,002,
447,528,251,596,509,162,252,094,388,638,813,352,325,500,058,733,054,880,570,
753,129,972,260,556,685,014,120,711,582,942,110,793,216,464,286,896,324,815,
142,320,566,528,531,663,782,178,744,881,041,719,259,978,555,927,405,561,506,
328,614,154,930,730,964,326,411,462,164,417,011,940,236,006,668,827,893,948,
656,078,079,905,082,825,698,396,533,580,077,538,438,460,115,889,601,570,029,
477,554,154,749,422,652,753,769,232,546,912,670,216,121,122,506,630,010,973,
128,636,632,091,600,249,646,262,099,428,562,026,537,036,915,327,872,502,816,
699,109,631,051,467,225,409,335,212,476,993,050,432,487,136,933,599,581,522,
578,775,867,828,745,755,068,326,404,076,636,190,662,788,105,370,822,380,279,
028,026,448,328,476,480,918,878,859,687,301,627,034,412,943,991,436,719,998,
421,236,591,955,894,577,661,459,001,852,925,636,223,171,762,126,636,015,150,
672,997,568,693,220,259,347,936,804,083,801,515,368,022,491,090,680,532,866,
924,482,014,205,748,378,037,189,172,729,293,989,226,094,651,685,566,879,422,
926,908,164,555,500,215,482,546,840,851,711,168,137,218,048,370,024,085,490,
817,437,095,469,521,387,802,021,848,613,495,123,241,530,586,389,903,846,662,
651,314,404,950,486,809,316,453,741,318,438,792,215,918,890,218,895,564,128,
950,670,589,663,010,032,906,975,912,749,932,989,360,319,466,256,804,137,202,
522,440,086,946,938,683,502,431,186,282,509,412,109,497,176,116,180,997,538,
707,762,505,968,819,258,123,088,548,116,355,287,142,594,760,479,947,597,765,
841,460,190,952,687,032,432,177,371,057,600,124,732,283,217,916,724,425,036,
389,042,866,241,572,860,853,934,138,870,836,005,542,575,445,130,536,388,562,
697,742,686,568,157,516,038,694,802,951,312,828,535,701,813,491,822,192,401,
908,275,225,608,352,860,277,819,036,159,783,047,082,691,949,945,674,661,848,
524,487,964,548,493,369,134,623,631,221,297,154,491,007,653,494,883,590,427,
877,372,905,238,062,593,063,769,513,424,163,081,870,571,688,304,634,550,386,
136,341,300,856,524,255,201,625,124,541,489,149,568,960,230,585,125,687,027,
487,346,357,287,772,252,314,299,818,981,860,701,044,330,269,977,143,146,884,
226,497,441,245,252,607,341,977,148,433,015,189,086,209,085,470,165,385,074,
417,272,080,325,366,756,689,018,762,943,716,965,511,293,903,991,233,470,896,
085,382,435,853,673,221,421,273,972,385,929,195,797,707,873,052,541,507,611,
672,940,956,966,501,228,225,867,410,931,808,465,250,162,724,281,215,919,882,
739,290,066,513,259,724,886,453,007,690,766,510,653,846,967,948,582,257,449,
058,735,827,720,873,677,402,397,947,530,848,752,642,315,666,149,108,243,720,
013,405,389,222,240,108,103,972,166,759,555,292,914,147,029,063,201,551,281,
469,842,280,659,121,771,491,000,695,229,645,623,028,276,038,227,859,082,532,
293,620,590,232,055,932,357,065,066,655,908,573,588,050,236,662,565,010,453,
426,460,017,426,684,971,430,807,756,902,036,532,435,023,352,964,617,641,417,
520,611,204,781,690,508,386,136,532,375,386,802,094,553,125,545,540,476,032,
697,922,384,268,757,155,235,900,552,676,067,046,600,773,917,063,986,583,710,
927,404,879,734,800,722,748,658,422,055,948,561,475,664,664,503,519,836,953,
802,574,885,136,994,639,859,018,210,961,836,738,987,677,989,883,206,460,246,
197,167,432,459,160,155,773,410,990,745,691,961,623,163,041,055,133,991,648,
222,736,251,866,845,472,400,453,970,080,458,393,368,796,238,709,440,943,119,
104,332,327,359,965,335,488,642,288,033,277,272,587,448,201,584,426,250,481,
816,687,021,231,787,943,612,687,259,651,307,188,602,268,670,527,739,803,652,
217,151,392,917,731,026,292,762,000,483,058,373,600,116,968,706,627,719,440,
666,375,405,084,170,603,607,442,094,855,934,421,910,832,965,234,158,936,143,
600,725,208,368,446,480,287,725,905,827,399,857,034,575,178,393,153,463,708,
974,529,246,693,283,499,043,205,501,631,780,966,499,353,470,788,657,173,009,
653,123,955,196,753,620,647,251,143,861,147,136,395,076,473,908,862,292,377,
485,713,397,047,744,219,293,813,861,673,331,787,673,608,777,356,194,115,944,
024,832,032,540,360,721,045,155,596,165,191,300,663,711,033,008,088,234,983,
231,791,172,524,077,658,441,238,299,389,076,852,715,489,900,832,529,527,289,
494,597,114,323,626,621,379,681,943,337,421,212,586,450,018,977,169,769,765,
448,075,961,182,381,398,409,247,776,703,263,985,785,018,464,222,699,753,511,
465,997,676,298,734,288,951,643,004,326,925,373,532,352,186,095,531,895,337,
833,827,373,093,953,098,290,135,148,571,095,040,684,800,143,876,881,691,862,
487,621,918,669,647,665,573,591,318,866,718,491,354,294,141,882,603,862,410,
245,422,722,260,105,633,915,466,634,072,065,145,083,208,988,335,140,973,402,
660,999,454,176,050,166,580,534,686,273,861,056,654,812,379,627,821,311,593,
754,880,228,541,484,878,893,416,170,145,645,244,280,236,284,695,647,990,463,
930,092,322,956,241,791,835,017,794,916,861,769,892,702,886,810,142,293,889,
796,375,841,756,775,708,684,937,271,757,936,354,270,514,723,548,293,300,869,
661,336,710,916,110,615,633,165,927,281,531,560,310,498,558,999,869,987,554,
054,990,459,120,179,110,137,347,512,392,245,987,493,118,439,735,316,486,268,
141,976,292,476,601,652,936,008,306,299,144,270,223,784,779,403,228,289,536,
143,601,765,401,286,391,935,784,696,763,632,953,005,622,651,480,898,544,265,
139,949,514,401,687,188,940,560,926,151,112,114,893,205,808,236,468,997,450,
891,418,298,732,114,819,186,465,746,931,062,559,608,142,953,161,110,178,639,
294,284,177,353,069,006,412,765,982,070,981,195,754,310,780,595,857,484,563,
051,186,411,629,802,009,512,565,348,596,717,356,884,516,194,750,030,880,109,
816,843,645,604,405,257,428,064,229,110,388,136,604,592,071,332,737,073,580,
526,574,702,912,749,459,124,060,024,968,229,214,611,494,119,569,552,111,023,
655,270,654,081,535,021,798,501,004,240,024,219,839,483,079,435,475,986,277,
455,558,234,646,973,734,854,531,408,362,236,146,443,314,047,490,298,724,565,
531,653,643,188,465,086,564,104,462,291,270,401,910,057,761,227,132,584,126,
747,488,972,476,945,549,233,674,860,294,364,577,171,878,428,683,091,321,858,
393,010,750,627,863,779,264,333,336,639,284,351,237,833,357,612,452,359,257,
055,549,831,422,962,584,195,123,961,869,744,150,730,693,354,397,533,830,252,
868,093,613,455,267,804,757,475,820,296,457,445,812,979,304,617,417,738,866,
666,634,137,018,097,984,786,604,540,451,274,865,131,118,606,614,042,099,300,
864,594,516,881,061,727,746,727,902,502,594,602,214,288,679,602,944,086,871,
369,902,166,750,859,603,728,842,876,242,813,258,855,760,066,532,039,756,403,
393,152,672,430,500,453,329,111,721,120,133,679,480,485,517,804,676,655,773,
528,642,180,136,000,693,766,243,978,521,953,247,942,015,243,636,032,866,499,
057,905,367,538,003,609,057,609,527,680,636,179,399,936,119,553,776,226,294,
447,499,966,251,697,371,593,532,944,969,204,760,999,567,721,931,773,356,575,
323,884,501,246,473,453,999,260,838,656,525,258,097,644,225,677,652,174,295,
349,662,923,446,383,903,498,046,243,006,945,509,507,106,030,750,953,238,775,
924,548,035,278,515,552,394,675,697,844,835,254,506,098,824,929,804,333,167,
998,744,203,920,816,165,143,628,445,307,136,429,747,234,835,501,327,589,399,
126,866,644,537,792,702,996,509,544,721,019,286,299,251,044,381,559,126,738,
760,946,188,128,226,668,391,994,617,675,754,935,487,690,003,802,401,514,573,
049,391,250,307,359,964,822,115,268,301,225,387,083,828,228,350,798,624,831,
829,832,264,560,771,439,336,394,141,783,279,065,935,722,065,294,634,216,888,
414,824,513,007,167,888,855,805,257,494,120,984,434,032,311,027,040,200,421,
087,738,688,873,238,126,377,056,361,360,450,839,809,244,084,846,332,437,507,
952,077,622,414,356,678,408,059,327,184,238,144,385,706,022,118,324,538,070,
971,694,799,126,548,617,501,473,088,954,729,721,206,905,306,385,498,859,335,
943,962,614,372,596,525,764,421,295,364,305,053,114,766,742,920,554,142,996,
696,707,233,947,986,636,823,591,382,396,753,193,562,496,308,734,286,062,639,
973,185,689,821,330,660,221,086,693,119,454,698,857,450,249,556,550,908,348,
292,243,735,596,983,339,096,514,069,526,655,115,586,356,469,403,034,303,215,
687,254,110,561,062,429,298,434,436,225,627,799,603,226,672,576,896,923,117,
653,192,274,500,625,130,727,580,169,770,480,711,753,915,036,039,019,139,184,
112,522,602,611,996,300,149,594,048,640,603,482,722,578,780,744,559,337,376,
786,612,544,011,295,311,311,221,182,290,542,291,177,028,851,950,642,932,759,
675,694,310,963,521,554,786,429,328,814,600,702,269,793,615,265,628,831,934,
499,999,925,325,979,058,415,118,497,069,552,822,610,727,798,491,790,879,541,
503,533,722,195,399,526,634,978,990,260,640,180,573,323,018,651,123,626,585,
532,429,222,508,325,646,302,758,655,555,969,531,921,397,221,651,093,768,373,
891,546,286,268,721,560,496,704,737,041,133,335,080,111,976,351,032,876,382,
382,855,765,780,111,421,412,403,693,603,342,859,776,086,856,149,752,700,967,
144,556,205,416,373,878,734,550,727,240,214,016,442,146,886,759,962,667,287,
294,571,546,899,288,074,190,938,741,446,415,048,705,683,684,263,668,671,570,
013,739,492,891,926,930,596,558,949,943,987,291,631,982,763,540,804,147,369,
732,870,914,107,491,357,230,026,266,922,647,738,334,257,027,874,465,480,203,
553,584,249,747,373,628,633,850,245,591,988,376,424,389,881,454,678,923,460,
856,615,528,816,205,141,522,177,313,021,706,456,918,088,907,388,154,738,014,
737,275,675,938,586,040,990,432,376,530,015,849,435,124,869,878,370,340,659,
361,272,011,141,989,609,359,973,914,846,240,847,376,427,376,042,535,264,923,
650,932,356,343,821,818,950,905,557,187,029,720,884,086,505,092,679,783,012,
010,684,573,341,931,423,197,188,552,565,030,824,458,018,399,662,790,514,753,
247,974,110,819,226,042,911,806,405,694,830,540,539,094,035,081,401,488,366,
648,365,518,720,290,386,609,847,258,713,157,671,093,299,116,198,874,737,275,
253,807,828,658,993,179,054,727,300,788,531,380,491,848,080,204,458,079,582,
611,909,240,649,529,592,317,820,285,927,448,375,662,243,742,660,528,290,315,
161,571,013,539,939,055,182,498,840,180,137,222,081,356,212,650,520,837,164,
610,441,382,790,796,567,436,784,149,657,570,734,506,436,217,059,653,000,263,
957,250,110,535,822,417,088,000,379,401,178,458,300,494,173,657,794,461,003,
872,445,350,437,685,979,784,201,991,705,449,826,045,908,331,962,485,067,870,
478,708,809,253,056,224,912,322,491,163,937,948,409,975,246,534,822,335,192,
505,548,100,882,789,708,873,238,717,712,569,115,324,525,039,056,765,652,500,
852,210,649,892,611,261,464,228,835,453,517,387,241,716,653,745,785,775,285,
124,712,034,317,173,823,928,642,977,542,721,821,597,719,703,600,379,624,910,
995,643,287,445,208,916,399,182,865,943,695,565,993,999,044,133,306,713,227,
971,925,625,222,736,296,449,568,808,146,249,286,549,329,604,399,182,444,375,
088,138,333,728,301,064,232,879,873,373,297,795,717,936,926,823,528,416,172,
440,386,367,052,069,495,663,050,879,761,159,637,030,685,810,752,373,472,243,
198,868,325,934,584,750,607,618,730,902,484,757,067,657,444,934,636,548,414,
312,743,665,945,197,523,575,185,948,184,849,392,681,055,207,852,244,941,702,
083,153,750,030,636,311,808,103,164,877,728,792,220,667,835,447,589,401,861,
588,077,503,034,251,545,111,742,713,481,643,676,010,011,301,196,782,216,299,
308,981,020,875,859,883,600,164,184,658,622,201,539,748,383,093,075,740,430,
828,530,530,757,273,265,541,552,606,280,183,417,276,399,662,188,758,981,803,
219,439,919,858,059,478,828,826,461,905,204,448,877,598,163,786,489,262,253,
960,848,377,667,663,273,665,019,162,923,885,576,226,741,676,057,194,407,770,
772,658,806,589,660,165,758,916,294,285,979,654,510,220,957,598,359,729,026,
511,609,919,107,398,867,961,107,187,054,490,247,593,978,907,383,241,037,791,
837,882,135,170,001,423,506,063,518,251,683,097,498,202,375,544,348,915,174,
064,131,600,923,123,825,907,917,324,203,247,831,300,591,929,959,763,907,122,
748,315,908,303,522,558,244,113,218,718,637,198,865,106,829,264,015,695,074,
554,910,843,981,106,382,601,154,375,607,858,250,861,350,680,963,209,681,050,
829,806,262,346,678,698,733,372,014,896,836,811,956,472,368,540,599,804,726,
208,675,004,354,288,318,735,443,480,096,233,953,235,753,744,137,627,135,403,
858,355,113,306,102,764,525,507,936,495,646,953,921,893,508,094,357,401,912,
229,681,471,608,021,482,825,341,738,865,400,274,772,353,584,428,838,217,426,
463,805,883,178,309,374,632,914,939,507,057,495,836,970,684,934,461,573,944,
483,374,284,430,318,317,393,692,565,148,484,476,277,774,390,250,684,035,815,
911,956,493,959,266,604,755,351,881,968,689,112,546,971,254,207,203,715,012,
527,554,280,331,123,525,227,130,413,142,886,919,702,095,562,486,799,164,253,
533,985,809,154,584,098,280,604,652,688,803,933,418,570,977,345,206,791,506,
045,279,139,979,483,524,359,139,804,847,546,726,050,786,409,102,656,517,386,
104,461,465,060,177,141,079,882,089,494,872,953,555,578,729,942,834,116,329,
602,393,356,831,070,152,942,471,334,066,997,132,977,470,273,612,658,458,425,
843,611,402,731,556,653,030,164,793,088,542,181,397,298,433,160,813,948,693,
611,466,464,956,069,398,613,279,352,674,855,024,780,809,900,863,571,811,414,
260,585,155,190,329,366,636,527,088,973,226,754,107,511,196,537,936,632,386,
338,794,094,577,801,987,452,816,809,856,963,683,681,801,798,697,139,406,505,
278,697,683,613,325,706,037,728,656,762,246,363,408,775,218,979,679,721,609,
664,530,791,352,315,286,525,603,104,608,659,799,025,042,184,034,174,865,634,
879,026,196,432,515,911,131,810,727,727,213,691,964,595,121,936,696,101,393,
090,593,211,701,859,470,680,536,668,697,420,005,409,889,222,959,711,214,330,
127,406,081,883,300,795,597,572,359,332,474,829,594,385,752,447,824,719,738,
677,634,058,498,341,467,483,392,226,725,371,393,301,177,637,467,436,082,390,
838,583,428,089,139,605,431,454,665,574,092,093,325,281,043,507,031,166,251,
663,134,506,054,771,590,251,501,614,957,810,854,173,148,384,247,430,232,232,
424,358,738,260,570,300,058,744,849,892,523,981,987,389,575,463,544,073,285,
717,579,526,086,893,204,059,408,769,018,051,248,541,424,358,894,774,377,405,
470,111,984,020,713,290,222,009,166,988,709,762,016,943,019,411,964,659,521,
425,192,011,984,089,069,018,527,013,969,341,651,660,959,552,117,005,388,146,
527,063,858,022,975,441,339,865,337,135,587,324,201,832,514,532,772,502,186,
421,701,251,127,845,376,112,213,339,857,750,524,540,449,558,586,572,616,346,
896,276,634,035,851,119,639,745,636,842,924,691,507,322,095,803,830,980,692,
288,301,326,737,319,314,967,142,473,051,285,808,471,183,116,124,468,631,134,
414,738,400,652,576,787,401,273,964,779,354,942,915,212,662,940,870,128,458,
252,964,250,050,162,950,019,238,018,264,737,081,105,998,124,508,610,751,862,
351,752,542,009,240,476,359,536,324,939,271,318,403,059,496,865,740,197,008,
242,896,970,239,429,440,940,296,199,882,082,233,398,183,560,600,664,831,252,
415,929,275,808,841,082,875,890,483,003,064,499,897,950,422,733,621,200,312,
536,003,442,507,221,816,767,849,182,354,828,325,561,278,858,804,951,699,927,
179,783,399,713,379,938,891,225,334,941,963,752,338,680,603,364,964,270,733,
112,041,379,178,239,109,736,175,224,563,600,589,727,533,061,311,199,360,177,
321,782,385,241,593,524,452,968,708,994,007,122,566,635,690,154,485,764,286,
740,854,993,134,276,427,386,490,609,728,772,882,497,996,384,739,432,375,938,
079,001,170,926,788,055,859,893,074,484,102,657,920,350,858,970,639,666,170,
437,194,212,889,004,793,175,912,689,256,143,112,887,164,366,225,548,434,609,
981,376,062,700,180,324,210,509,310,592,117,782,013,334,806,399,946,936,388,
869,632,319,725,071,870,337,398,639,990,427,306,882,952,598,576,199,814,448,
509,935,492,834,019,343,437,564,689,405,189,385,920,838,740,741,248,130,595,
268,512,725,183,486,531,427,213,154,828,483,969,935,035,549,491,045,236,560,
200,243,986,258,270,275,507,831,635,259,894,109,198,009,643,998,872,605,615,
238,309,587,894,677,213,225,548,945,264,445,435,829,676,636,272,241,094,663,
176,800,498,336,508,928,307,719,479,712,161,059,845,707,486,696,208,905,996,
074,375,012,744,702,432,688,808,182,252,865,110,190,183,998,273,196,979,883,
726,948,193,881,645,343,692,171,723,043,159,054,099,981,673,664,634,296,281,
623,650,601,274,219,567,854,610,926,411,944,680,684,406,737,439,205,412,680,
742,872,848,937,605,842,843,155,758,614,622,080,083,313,248,305,011,598,971,
652,561,547,008,813,371,106,498,763,682,783,438,245,632,101,623,267,973,399,
950,296,874,908,367,591,556,352,606,871,916,014,611,882,270,758,052,530,195,
583,963,185,531,779,465,345,551,024,129,068,504,795,209,060,357,918,007,347,
518,769,163,839,886,047,163,098,296,370,476,963,707,377,633,468,775,210,345,
754,936,236,972,732,141,221,561,191,854,215,267,713,467,958,020,475,347,766,
079,499,984,168,449,836,731,247,166,986,431,085,607,895,251,769,627,527,407,
468,933,244,130,818,369,755,572,670,857,456,972,384,371,348,769,579,382,842,
376,162,705,553,296,393,234,471,873,966,538,818,365,017,218,187,006,060,937,
305,466,469,856,530,519,635,715,095,987,202,897,186,426,867,242,100,719,849,
623,828,510,789,968,896,120,270,389,530,878,934,378,088,736,855,223,767,330,
524,753,149,620,614,140,426,529,539,971,593,115,781,707,532,028,832,677,402,
521,104,578,979,369,877,193,759,395,959,728,091,699,204,474,436,564,657,607,
537,758,301,361,495,645,315,328,748,523,080,830,057,036,679,029,228,868,383,
795,747,986,904,978,968,320,789,379,291,594,043,945,502,459,524,456,235,642,
577,272,849,423,872,085,827,790,583,176,683,123,161,345,067,636,878,110,244,
505,737,257,550,053,564,067,748,909,004,273,629,304,622,001,469,260,368,098,
725,067,850,422,126,566,915,111,743,617,908,829,528,132,863,482,583,129,149,
498,124,562,489,349,098,279,940,436,655,376,020,220,879,889,259,614,713,470,
810,074,592,659,196,417,184,290,453,728,136,797,958,658,745,561,073,705,789,
962,618,360,969,367,124,141,709,342,799,749,357,202,101,114,348,014,261,423,
954,665,765,678,737,406,593,570,997,334,526,106,287,583,328,702,191,212,772,
656,382,043,103,031,395,167,990,279,360,415,229,290,137,840,727,887,924,433,
054,990,097,203,295,566,719,640,476,528,375,231,774,660,060,875,006,385,865,
264,099,182,980,441,809,056,711,905,212,615,005,150,547,324,084,573,401,199,
997,155,828,228,869,330,139,782,883,866,607,935,280,051,570,677,117,686,203,
281,899,363,989,866,504,019,317,605,359,218,439,707,570,903,599,759,039,842,
221,174,830,386,394,071,640,394,836,347,058,193,091,949,926,643,669,924,076,
784,119,564,019,361,278,298,040,215,486,592,026,523,287,277,825,943,996,315,
711,079,173,406,906,445,406,018,753,669,592,351,426,863,838,812,796,720,129,
279,472,923,925,667,895,462,824,902,817,889,041,383,036,535,088,912,890,359,
626,967,209,926,983,126,210,881,984,505,448,892,883,933,805,300,899,666,418,
515,675,125,389,473,399,207,519,155,273,334,130,236,808,772,540,421,093,828,
724,439,340,863,955,653,226,916,461,062,057,703,201,177,879,243,884,381,412,
926,077,172,446,232,095,951,779,843,155,625,803,891,912,798,401,735,659,565,
317,671,790,004,747,372,457,455,088,965,073,421,074,789,542,875,773,925,641,
960,372,658,075,648,311,818,003,371,418,906,884,643,811,352,933,692,457,604,
269,883,709,095,809,711,794,149,638,575,041,216,262,952,458,343,023,372,209,
778,469,102,276,712,289,281,473,401,569,711,891,986,130,975,559,550,976,574,
576,434,012,180,927,676,307,749,444,162,059,834,923,682,369,649,170,614,909,
980,723,520,236,106,346,625,338,735,469,673,211,992,057,782,281,305,547,723,
706,004,873,160,690,894,720,571,264,595,128,570,897,969,130,672,481,684,199,
400,060,586,262,080,325,761,027,512,500,488,584,945,059,040,825,401,380,809,
795,476,687,476,959,536,612,293,333,266,749,133,000,300,372,529,146,076,258,
531,405,791,265,514,511,401,671,184,468,882,575,065,107,093,162,531,761,681,
886,419,129,431,145,709,926,988,878,507,675,316,589,356,723,634,223,793,688,
605,931,252,503,393,198,772,402,712,684,996,241,232,001,534,319,042,631,751,
512,670,674,961,611,108,356,284,367,104,264,979,290,286,510,722,815,128,059,
569,147,524,525,800,156,965,063,464,495,281,133,807,891,203,376,936,262,243,
838,645,965,769,375,717,516,792,215,592,404,974,732,781,136,027,956,223,516,
226,997,092,690,072,461,106,899,235,910,611,831,803,502,657,709,312,589,850,
324,329,067,994,484,142,001,843,131,783,258,892,947,730,294,456,467,596,215,
106,643,056,137,573,573,388,965,954,946,126,016,511,360,637,532,424,953,487,
375,630,324,877,949,509,852,407,878,018,049,686,770,470,662,427,479,647,250,
004,666,243,304,100,605,548,980,639,968,220,825,919,319,749,422,639,731,586,
136,497,939,580,551,954,601,480,865,757,008,491,458,040,415,459,812,997,924,
212,623,176,241,945,062,878,982,345,413,664,271,374,274,947,985,524,147,727,
349,412,865,775,129,598,221,083,558,683,886,001,059,181,983,419,584,825,313,
184,933,525,411,347,139,514,837,722,118,365,292,262,553,087,988,139,663,479,
136,570,932,131,341,827,474,630,537,289,381,494,906,612,873,177,335,146,416,
004,530,138,552,564,869,091,428,973,588,564,645,502,786,946,460,409,002,220,
935,397,545,110,477,720,189,013,019,438,775,166,843,215,001,725,304,387,825,
346,199,061,489,912,230,128,409,487,267,901,080,153,146,322,101,697,400,503,
511,522,201,150,136,227,735,636,375,112,558,974,091,427,214,389,600,815,647,
283,193,469,696,537,951,167,258,217,967,049,945,422,434,411,374,278,114,641,
334,275,218,382,113,868,033,044,280,890,109,332,623,039,172,158,576,210,462,
630,196,632,646,328,334,916,701,153,656,044,267,294,152,726,292,591,283,402,
360,942,563,418,490,493,290,813,535,968,003,853,981,971,086,594,702,611,426,
230,393,076,276,754,953,122,853,241,203,660,547,959,300,487,821,291,146,244,
246,648,344,526,341,190,942,006,301,787,305,439,833,865,726,916,015,518,068,
603,376,547,091,027,359,723,897,150,086,730,820,924,072,754,479,385,334,371,
662,583,423,198,314,324,443,510,250,472,322,959,368,546,018,789,979,210,360,
901,806,710,512,228,800,105,501,760,478,165,636,966,233,109,278,272,679,503,
011,664,192,305,500,076,206,681,111,528,300,082,205,508,162,504,361,076,340,
131,514,555,889,439,302,255,923,523,142,993,621,323,396,173,333,820,556,413,
903,879,246,850,204,507,666,196,783,836,591,089,269,814,598,600,691,071,950,
846,028,803,994,436,864,245,132,102,354,332,461,503,344,600,249,757,238,300,
717,886,270,890,644,857,922,338,601,679,174,579,959,898,109,365,411,633,759,
583,023,245,993,777,844,401,201,857,087,631,071,910,101,713,152,703,898,877,
104,744,199,054,909,397,933,032,318,863,587,839,916,950,685,237,301,918,048,
380,674,053,199,375,257,753,079,443,630,527,513,714,383,696,679,183,485,137,
702,429,634,287,308,465,261,108,545,896,578,106,421,552,567,623,039,761,563,
979,887,665,797,938,095,719,842,345,994,998,598,461,978,872,252,256,244,577,
025,844,625,387,202,747,146,113,508,142,046,572,190,524,285,453,261,760,173,
998,043,246,867,363,754,591,791,150,602,886,045,980,638,871,195,746,847,563,
382,569,057,656,472,442,470,821,329,374,734,046,990,643,088,088,863,852,150,
041,496,441,719,404,821,525,798,495,725,272,053,921,699,056,717,424,982,076,
070,160,037,351,750,481,972,140,717,519,799,696,515,495,078,873,243,333,048,
487,680,766,912,880,147,036,817,771,802,576,562,642,777,658,881,721,692,185,
765,007,067,900,686,482,691,956,621,101,024,095,146,223,728,690,984,053,984,
933,379,141,162,935,316,467,382,188,983,495,237,526,116,112,048,383,656,403,
046,143,303,232,252,614,633,130,902,475,889,358,645,018,640,337,787,995,267,
798,677,731,944,760,314,510,698,834,263,443,070,285,631,364,850,512,197,071,
249,462,989,801,045,576,739,487,241,845,483,787,716,703,197,131,612,693,906,
897,652,754,452,338,339,374,129,996,206,903,270,769,681,739,474,647,468,237,
532,098,323,169,773,795,537,650,824,550,163,094,104,387,677,254,812,900,857,
960,166,753,847,073,009,889,011,841,467,122,149,442,870,627,293,854,702,401,
693,764,516,600,166,681,653,802,141,891,520,965,048,186,755,692,098,799,515,
847,043,391,965,923,575,655,905,275,938,452,827,719,694,441,021,747,748,144,
494,821,312,223,847,263,751,095,745,995,318,702,557,499,305,966,010,213,162,
531,383,624,842,368,409,006,987,933,173,006,784,078,853,616,659,719,150,702,
465,640,463,290,355,580,074,932,478,464,186,847,226,461,052,892,005,100,561,
375,065,832,201,425,079,629,422,445,594,963,763,049,193,749,990,422,743,853,
477,951,831,403,469,025,120,382,954,356,540,235,009,305,438,213,851,993,722,
094,419,798,582,455,391,250,375,136,136,367,015,645,412,885,983,781,621,829,
256,443,176,720,117,703,526,785,003,151,462,498,316,468,379,386,382,172,103,
605,044,387,570,133,296,413,952,201,100,998,676,548,269,614,514,499,810,692,
486,220,362,806,424,412,428,304,420,549,982,782,478,398,585,058,477,408,506,
587,343,497,310,929,868,957,601,017,695,968,820,628,513,626,259,545,240,913,
605,946,778,563,255,625,914,862,348,652,717,176,201,381,328,293,707,661,268,
008,043,606,572,781,352,437,646,238,925,798,264,674,484,179,672,306,498,174,
248,606,127,136,981,957,374,525,097,036,533,485,481,317,869,509,922,527,781,
836,203,747,146,801,361,408,586,297,476,053,405,545,163,470,100,626,065,556,
166,064,963,243,067,818,100,762,912,080,976,885,964,627,519,516,982,829,284,
995,511,989,544,369,037,159,492,210,315,338,627,846,645,936,766,135,232,899,
502,066,530,835,040,924,267,549,718,835,317,320,887,166,558,387,206,387,899,
438,530,000,666,838,219,092,480,220,216,515,024,554,364,957,449,595,484,357,
469,379,847,644,361,803,553,697,043,969,125,164,550,800,244,208,481,563,346,
569,699,188,169,770,527,538,246,531,512,210,967,723,659,529,459,888,690,492,
657,435,267,663,325,374,440,774,214,387,122,375,064,229,040,663,674,970,697,
737,859,272,160,957,830,666,462,183,879,783,887,334,475,924,267,012,702,403,
715,583,355,394,958,282,538,782,387,858,640,563,504,314,509,369,315,604,757,
655,527,127,070,564,223,527,608,737,909,807,798,932,083,557,723,343,925,010,
652,850,046,098,258,217,255,949,141,474,880,917,140,314,509,582,400,083,387,
849,577,602,366,367,169,157,349,701,052,597,554,438,859,910,272,873,601,154,
589,640,946,244,387,414,791,832,842,332,206,050,062,910,175,664,409,545,857,
308,325,874,836,719,069,804,253,636,605,087,562,224,451,710,828,416,903,283,
840,538,675,316,090,283,008,934,029,215,712,188,203,889,743,193,037,272,734,
956,697,611,163,312,598,531,041,273,050,246,206,496,656,134,378,695,431,882,
388,400,968,200,310,267,760,423,104,683,123,823,256,029,672,484,132,358,140,
116,466,797,492,818,473,315,871,752,936,347,028,343,452,714,645,832,164,761,
604,955,136,147,978,818,424,116,892,160,177,309,598,342,480,114,958,142,136,
258,886,945,296,043,872,368,934,271,864,790,491,161,745,770,235,425,723,419,
383,628,613,998,107,108,411,239,162,164,414,283,939,308,035,772,184,753,046,
139,703,625,264,013,973,945,327,817,589,203,545,334,951,815,218,412,386,073,
275,025,232,889,081,335,605,091,874,050,193,487,442,552,938,401,336,385,166,
981,620,450,398,694,431,554,327,312,491,733,065,035,003,483,138,498,199,892,
506,462,719,917,464,866,738,690,067,371,140,325,610,558,682,235,632,115,213,
799,794,066,834,565,876,152,375,578,903,891,244,281,734,929,823,401,964,873,
382,906,192,570,912,052,325,335,581,421,372,768,376,484,621,197,846,417,863,
383,573,086,893,043,511,635,809,008,930,396,655,399,330,798,973,404,781,055,
879,585,126,185,943,949,060,134,600,930,791,103,646,348,265,282,585,944,111,
911,766,923,348,486,217,119,140,558,962,044,191,943,552,279,694,128,571,164,
170,593,519,613,145,186,495,510,922,235,217,491,166,016,735,797,596,949,818,
410,161,896,460,283,798,458,963,842,381,825,841,268,462,344,483,789,090,918,
292,104,718,462,026,730,971,048,405,252,103,488,866,411,779,292,376,663,599,
789,378,243,495,153,500,359,269,291,003,256,896,686,527,974,534,070,846,478,
943,129,276,622,980,609,216,728,318,330,675,259,998,636,863,011,537,488,242,
933,110,536,474,917,687,990,529,067,379,393,386,397,107,637,646,129,289,472,
867,680,801,041,103,222,708,690,925,046,404,216,363,250,348,650,867,023,677,
379,706,938,313,805,079,592,436,985,678,082,247,907,875,664,860,151,985,600,
050,971,722,910,630,319,730,079,925,891,086,395,614,740,391,176,237,343,316,
005,130,731,917,127,427,669,265,557,026,926,802,625,922,908,754,846,232,424,
035,715,868,340,179,130,366,440,690,836,350,388,184,123,171,449,316,260,815,
378,934,903,703,463,947,552,370,532,106,755,854,587,746,260,489,275,662,308,
095,798,859,234,108,094,972,754,012,143,073,513,315,577,037,175,893,671,057,
757,642,859,542,600,064,003,299,663,600,020,326,638,312,362,567,377,064,052,
651,618,035,140,160,991,921,934,542,270,571,645,965,182,217,072,498,326,825,
277,025,406,005,768,593,786,496,034,225,771,011,669,214,818,494,818,218,002,
826,862,449,763,367,324,580,915,529,359,907,904,097,976,215,074,888,745,256,
025,427,916,331,735,362,401,914,772,283,812,355,495,811,321,116,677,675,935,
387,948,655,829,379,556,331,151,960,624,472,345,368,626,118,160,413,884,791,
857,489,649,522,069,792,882,945,637,283,797,253,910,216,707,360,874,928,110,
440,709,419,431,691,384,112,727,350,608,719,818,315,974,148,135,388,219,858,
935,298,003,404,587,454,019,057,497,222,571,301,436,408,973,094,526,490,742,
408,491,119,104,865,478,500,749,285,627,182,484,308,391,522,594,284,976,595,
839,798,932,896,350,253,773,900,746,652,861,784,433,160,711,345,135,973,012,
618,519,780,591,344,257,731,976,636,245,455,418,968,349,040,575,088,485,615,
783,042,980,850,704,382,187,829,493,744,577,448,126,975,014,077,625,145,391,
682,165,623,246,869,071,875,244,609,756,259,077,021,585,356,597,837,592,754,
952,058,485,270,684,900,136,631,302,384,331,734,896,252,941,641,404,970,498,
447,279,385,679,743,116,236,693,012,775,189,485,312,626,948,074,723,356,164,
158,103,445,018,629,907,403,895,133,691,349,109,995,108,590,902,959,518,350,
039,128,174,402,656,589,831,816,346,845,097,157,309,797,895,873,463,988,014,
821,495,007,810,181,974,781,195,719,012,009,246,647,565,629,368,419,037,680,
916,365,405,948,529,327,802,136,856,600,005,400,400,467,604,754,858,911,427,
511,859,168,713,841,700,841,325,817,560,042,146,779,692,095,535,404,543,153,
483,942,378,464,161,828,835,569,902,824,182,740,864,751,538,697,234,264,439,
246,178,405,937,446,873,841,806,168,765,317,408,517,706,015,352,489,978,183,
646,663,127,178,227,898,610,501,588,404,013,657,102,949,757,613,908,257,635,
729,564,742,482,694,880,163,793,695,534,928,124,597,580,453,871,422,236,922,
649,541,657,362,628,548,933,349,954,997,646,530,504,506,937,471,395,579,839,
315,934,652,630,195,672,417,751,065,381,583,298,454,077,875,549,607,667,805,
045,049,435,109,160,966,438,514,541,432,396,076,673,323,658,769,707,488,502,
322,786,013,823,094,122,790,491,743,409,571,390,615,099,796,486,392,981,483,
801,547,292,437,896,016,098,094,372,224,592,578,158,855,556,502,495,129,242,
657,505,413,070,886,573,365,140,458,276,439,515,199,413,650,837,042,348,354,
593,518,530,579,207,704,415,362,939,654,332,113,886,991,619,369,561,976,166,
025,506,353,468,561,676,243,207,421,420,899,833,895,102,491,304,520,842,445,
405,578,680,836,191,880,016,432,635,104,110,515,619,212,279,422,376,417,842,
558,064,949,638,649,955,035,126,148,316,028,479,968,597,576,995,281,574,627,
561,652,232,076,728,578,451,450,626,331,036,682,278,407,762,657,030,706,535,
583,590,950,277,078,332,339,187,330,430,191,871,317,006,472,875,182,848,523,
525,491,737,602,657,557,931,894,624,681,450,019,984,449,280,129,215,051,300,
565,072,360,817,339,208,927,630,536,843,525,308,829,553,814,643,862,845,449,
066,084,099,591,697,204,874,783,941,955,446,615,639,599,573,917,840,448,524,
999,379,573,510,571,256,796,555,755,728,423,835,179,574,373,006,528,366,802,
749,859,327,501,982,429,440,237,009,591,097,570,476,937,063,607,154,196,654,
712,138,219,482,115,723,682,478,615,660,919,715,411,279,797,182,209,310,075,
786,313,339,805,557,228,503,023,864,226,218,327,881,893,291,259,586,373,097,
487,499,635,836,914,510,749,989,968,259,274,215,099,302,727,317,124,580,955,
395,273,700,326,592,849,293,198,142,001,558,280,944,935,548,484,984,708,230,
837,615,545,475,582,311,658,683,505,223,395,951,376,914,263,322,953,145,029,
085,404,105,285,517,952,785,999,772,587,854,284,289,243,992,819,758,500,122,
091,585,096,124,515,882,350,979,774,819,053,004,497,242,364,801,574,598,903,
775,981,732,807,195,706,468,510,750,572,852,528,026,078,977,778,198,955,530,
198,726,836,701,487,484,127,374,900,332,894,883,687,481,837,324,458,684,612,
995,809,451,251,244,164,311,835,310,913,169,633,563,062,152,066,865,101,604,
577,528,955,755,952,928,580,215,240,663,162,740,709,953,447,246,249,883,904,
253,789,767,652,215,331,763,373,242,613,120,882,666,591,742,380,542,866,627,
113,311,316,276,507,643,545,232,948,902,975,208,511,728,257,184,412,948,199,
495,570,173,957,296,271,708,310,899,251,305,781,274,091,200,622,700,792,287,
514,562,222,891,204,340,501,291,856,133,508,816,425,624,011,996,689,765,281,
578,874,697,231,710,967,536,240,576,779,881,427,155,968,735,224,760,988,443,
547,808,609,210,685,559,988,699,881,883,136,224,941,409,394,655,368,714,408,
430,451,260,112,603,996,675,755,720,382,674,150,226,457,084,730,225,296,315,
993,491,998,519,628,377,956,854,230,321,253,598,455,774,243,814,423,475,691,
464,766,413,156,648,691,223,253,890,126,072,252,746,912,886,441,006,041,372,
137,138,748,125,259,563,657,996,894,060,983,133,443,000,430,644,005,214,367,
683,707,267,356,084,377,469,968,371,907,471,012,753,031,810,693,118,984,780,
542,653,506,085,415,736,399,392,931,381,610,403,726,417,151,050,490,765,401,
296,166,249,770,183,346,907,045,441,628,035,896,452,721,338,458,922,005,190,
789,363,856,364,176,625,427,556,323,030,374,742,731,539,337,875,812,995,330,
001,171,055,331,957,357,241,427,188,030,414,983,790,275,862,533,322,517,981,
601,757,930,908,681,285,260,650,411,330,029,866,925,187,672,641,868,001,579,
935,751,607,732,596,578,868,884,501,335,988,134,758,627,258,265,944,034,834,
534,850,868,486,749,214,685,724,602,443,653,803,164,867,685,955,248,018,256,
382,167,437,817,505,490,891,121,628,106,844,384,997,206,035,098,738,222,353,
042,902,961,297,203,710,899,087,124,809,161,191,005,409,843,392,709,972,268,
880,779,815,533,465,307,832,136,737,197,161,274,878,390,771,746,950,687,781,
072,335,678,531,449,215,207,244,041,107,375,649,401,548,036,307,527,168,270,
362,014,901,680,966,766,765,214,439,922,520,245,792,333,505,426,891,964,200,
853,584,052,262,485,678,224,370,189,570,841,785,274,000,813,953,241,440,223,
521,829,376,482,866,005,950,852,624,919,154,285,701,262,137,093,592,192,929,
186,630,656,981,037,550,518,121,537,108,426,048,007,531,147,044,262,496,088,
002,770,702,127,968,765,815,538,363,606,465,873,918,437,157,733,282,538,593,
505,177,788,944,276,049,589,621,681,051,669,467,642,867,993,031,911,614,877,
149,397,126,717,284,426,839,182,732,582,792,023,371,189,742,863,010,255,297,
001,199,178,165,570,918,052,484,218,556,094,889,815,967,478,761,322,144,173,
051,980,780,265,988,221,397,202,171,016,701,903,714,860,295,156,429,976,015,
288,965,010,864,581,410,799,130,100,329,654,645,935,930,780,655,534,242,391,
876,886,907,589,316,294,270,355,218,257,614,429,680,505,729,072,060,183,551,
026,111,091,217,983,170,247,358,891,143,504,945,687,344,853,763,687,281,906,
915,918,024,085,146,011,737,058,671,100,148,323,442,376,297,042,246,059,220,
180,432,570,259,725,909,885,547,586,173,136,235,203,498,008,844,959,324,306,
751,806,388,996,471,760,916,094,982,142,816,707,527,160,620,533,339,773,775,
166,681,931,180,858,281,917,979,529,225,174,425,238,334,822,978,919,956,197,
606,202,326,676,714,756,757,076,621,948,684,827,532,992,545,047,221,736,232,
729,617,154,145,885,724,492,216,242,037,788,337,393,691,203,123,913,188,156,
812,751,909,609,022,651,857,991,660,648,481,939,596,239,372,349,620,226,548,
249,272,782,880,038,802,570,088,500,114,716,042,835,267,344,996,888,702,561,
045,239,786,631,533,260,189,057,762,587,824,950,374,950,153,095,943,014,115,
141,128,450,619,473,151,342,455,985,422,466,026,475,786,650,558,191,983,143,
900,668,792,058,177,854,272,792,617,989,647,656,577,519,188,527,760,066,327,
767,591,842,722,102,854,450,747,494,617,394,726,670,142,038,724,484,641,780,
565,655,433,038,132,497,966,689,131,067,148,584,724,330,885,174,516,777,826,
933,928,062,750,250,382,572,765,553,671,988,737,772,805,210,401,632,594,616,
042,619,747,339,559,554,630,430,536,933,398,510,345,413,709,574,617,632,181,
949,986,199,230,521,011,629,396,030,414,394,995,759,310,545,742,145,249,029,
784,641,359,241,191,614,098,120,022,755,999,434,520,380,708,923,986,145,746,
967,749,080,477,823,718,103,319,547,528,905,751,455,755,765,579,729,272,363,
597,417,851,760,182,630,414,720,852,492,851,156,392,247,552,632,660,460,099,
721,347,900,851,255,341,357,207,557,518,332,159,714,377,903,018,000,131,534,
354,974,835,584,106,412,464,559,426,018,100,579,557,073,081,991,177,809,012,
454,341,409,907,200,667,349,258,883,106,715,158,828,505,886,087,344,955,541,
741,783,392,414,751,026,145,186,697,853,542,679,764,321,416,388,714,965,287,
787,141,173,930,576,673,324,147,263,367,478,175,004,390,082,712,569,239,091,
077,880,594,890,565,868,820,361,038,555,420,890,406,586,312,501,318,995,703,
410,237,267,631,668,280,980,247,954,546,323,539,376,990,871,117,361,212,447,
907,612,898,968,593,947,674,520,261,853,042,206,699,378,147,999,936,655,374,
075,940,601,969,992,081,460,898,128,206,163,108,439,648,682,053,597,024,652,
000,318,725,001,504,514,315,694,806,827,720,758,104,674,828,398,592,779,745,
036,046,969,412,410,473,813,333,726,571,689,932,468,937,091,159,495,711,646,
243,243,841,331,550,940,012,167,077,697,459,238,194,176,432,158,971,382,177,
037,020,678,989,440,934,335,388,339,609,793,765,399,687,517,188,350,817,867,
677,994,199,257,757,093,947,441,165,502,824,853,838,574,638,401,350,056,618,
838,333,442,042,633,149,834,112,272,979,167,268,763,118,636,960,040,034,850,
380,966,042,882,891,404,323,439,625,512,140,462,124,576,179,117,676,753,955,
388,692,139,036,773,170,648,152,294,750,322,403,816,153,669,329,630,477,457,
145,293,916,748,488,444,731,155,021,473,829,856,807,118,885,958,817,249,152,
498,048,793,321,123,485,759,534,630,381,835,179,504,479,236,560,487,464,147,
173,322,945,637,883,725,170,300,584,606,971,971,502,649,158,969,421,220,245,
443,056,560,580,341,664,719,767,131,137,664,743,250,172,504,878,700,920,604,
229,354,051,058,665,761,518,495,209,584,941,420,588,806,585,614,320,517,007,
791,599,785,631,994,011,063,909,234,845,215,395,475,251,354,960,665,155,263,
052,197,473,281,825,092,031,062,964,399,686,678,715,304,151,619,722,424,036,
212,061,177,138,557,702,133,598,721,083,865,613,666,641,344,569,283,491,899,
125,007,499,517,393,590,116,171,078,698,749,816,436,294,880,543,037,356,730,
987,312,908,542,366,127,275,234,886,332,919,773,402,247,803,403,443,878,594,
990,448,846,497,697,856,427,040,557,739,547,610,741,520,241,255,909,955,750,
080,904,145,528,291,064,656,792,024,147,952,234,232,060,392,965,585,745,145,
310,022,872,627,032,377,669,577,147,991,662,114,553,804,470,220,156,930,096,
559,142,790,224,331,364,992,601,581,858,188,481,019,073,084,764,733,145,244,
277,426,538,579,201,139,154,923,767,708,691,622,208,256,338,977,540,405,998,
686,219,570,660,329,082,938,306,947,607,205,264,461,562,427,166,629,345,869,
471,694,389,383,334,612,006,649,387,806,499,298,077,680,712,508,338,370,489,
979,266,652,884,927,229,850,470,922,968,508,948,579,280,098,862,265,115,948,
108,116,665,921,821,398,947,522,009,898,002,167,596,317,941,530,718,867,055,
960,940,244,267,610,198,968,341,221,868,071,196,710,718,955,217,833,794,872,
785,375,488,092,608,711,275,816,470,949,093,027,704,217,656,608,718,410,850,
813,375,778,272,244,244,468,886,980,104,825,454,603,819,410,294,913,391,609,
369,389,370,701,070,413,984,508,865,361,985,791,204,358,691,968,410,510,749,
457,405,970,787,204,361,625,287,171,810,293,092,561,975,527,114,023,117,369,
337,928,489,561,025,050,439,157,061,892,514,139,667,770,679,759,949,204,887,
986,121,496,840,951,591,294,091,894,318,072,145,360,334,268,198,837,058,253,
921,846,757,716,596,658,404,810,758,661,872,133,232,028,500,315,337,844,479,
814,814,466,426,657,675,377,566,653,185,906,610,661,614,877,528,346,299,329,
064,385,312,452,259,379,925,953,810,959,768,045,986,708,212,610,726,868,352,
107,812,314,325,138,689,516,994,571,457,724,686,186,347,384,096,357,711,714,
562,993,646,517,347,873,013,505,362,029,183,515,961,670,144,522,287,999,117,
577,215,342,262,901,634,574,116,534,366,467,027,045,163,600,720,877,519,258,
099,156,152,026,649,301,595,275,027,273,324,065,801,209,674,682,753,931,822,
247,481,160,986,470,946,125,948,204,858,574,333,658,288,812,760,240,395,849,
193,451,876,228,078,919,964,493,409,862,404,032,846,287,677,727,291,537,108,
310,272,659,083,661,825,090,088,800,857,583,512,896,013,313,806,067,131,876,
431,490,269,723,210,438,855,887,087,810,503,527,474,905,412,553,460,934,269,
387,519,439,040,975,225,381,165,205,124,380,491,307,109,950,249,845,462,864,
949,667,677,171,650,671,496,177,922,344,684,539,451,457,345,656,758,883,134,
086,275,817,647,565,341,883,349,635,190,131,793,799,936,625,692,120,886,544,
317,820,269,849,319,695,660,827,065,155,886,428,676,737,027,272,903,235,878,
264,905,950,383,380,426,218,125,328,935,392,547,357,533,347,710,285,178,298,
545,742,507,790,895,669,004,931,373,106,587,623,103,425,824,530,934,304,985,
528,128,688,476,767,317,340,896,106,125,759,549,322,693,778,211,803,016,858,
922,380,875,990,198,871,600,620,455,705,707,003,011,521,477,709,109,194,502,
918,786,536,613,922,506,085,007,973,908,863,684,879,274,622,592,588,160,274,
332,036,889,666,301,084,002,663,629,443,109,549,689,788,538,036,532,894,725,
279,384,155,095,820,680,560,372,594,499,287,808,668,885,686,816,832,606,041,
106,032,383,153,987,561,028,318,538,297,803,766,481,628,094,810,884,507,075,
637,529,344,392,307,052,870,444,253,017,928,936,737,480,642,875,330,782,649,
509,219,566,271,833,658,525,740,720,341,390,530,099,004,123,666,225,786,736,
596,144,061,624,361,889,233,031,353,641,181,249,958,468,678,764,981,116,592,
437,381,273,911,404,064,782,290,949,726,830,253,427,090,777,727,993,763,104,
595,055,046,380,944,701,339,817,361,152,306,168,305,786,412,124,221,641,098,
043,828,669,605,393,158,820,114,362,225,792,410,805,467,630,222,712,919,158,
992,091,672,516,933,788,670,727,778,580,791,403,519,822,793,910,412,343,346,
850,487,497,392,103,387,998,270,328,607,563,938,645,547,287,587,752,203,685,
905,891,535,806,279,168,423,475,702,697,910,801,683,727,571,438,290,990,281,
516,215,659,790,562,943,473,527,180,421,253,319,578,675,105,773,609,962,701,
516,493,433,343,695,565,377,284,047,067,694,874,014,555,690,358,628,194,463,
436,931,523,705,525,486,920,021,982,537,280,010,028,424,403,551,128,968,640,
829,452,204,533,969,373,039,181,782,688,720,950,822,160,122,551,479,652,570,
886,549,883,440,357,140,470,848,082,240,213,291,474,236,756,978,747,791,653,
378,522,064,308,786,233,872,947,317,334,680,013,022,007,468,543,127,016,958,
348,233,562,961,432,417,066,388,589,637,849,541,056,098,895,480,275,546,282,
920,147,153,052,965,721,571,275,424,934,303,943,431,231,645,797,657,735,409,
199,679,907,168,714,365,987,523,793,314,241,834,424,466,948,405,990,444,451,
174,864,876,530,196,997,201,380,829,381,079,762,226,743,558,492,731,718,137,
870,138,071,760,782,427,047,558,705,660,704,984,703,675,049,315,176,073,255,
836,277,245,800,674,370,267,228,091,681,808,731,630,819,316,195,972,231,020,
436,680,745,174,418,382,770,461,980,285,832,742,505,056,635,848,365,541,865,
735,894,706,735,664,125,036,815,177,482,691,325,035,949,482,989,893,397,629,
658,065,570,785,672,711,783,994,839,338,551,677,034,102,360,983,810,322,960,
044,335,688,372,262,977,052,500,824,008,730,679,909,761,280,613,294,811,570,
125,526,316,503,450,636,151,156,743,763,255,643,931,023,871,581,585,894,629,
428,332,083,233,026,843,825,300,901,227,558,897,097,800,579,761,358,002,396,
122,573,213,793,205,523,734,160,933,158,459,296,582,076,820,441,085,144,198,
694,529,406,495,132,545,019,964,238,634,783,363,480,514,241,704,256,419,675,
019,462,832,967,107,745,785,267,540,006,804,609,513,724,001,921,098,784,789,
900,740,809,314,812,894,731,828,964,773,051,184,375,825,677,259,989,927,275,
668,849,963,153,691,574,552,032,587,373,624,408,806,383,212,907,811,347,075,
521,457,837,332,670,095,880,843,096,093,629,782,005,379,358,628,067,772,546,
735,221,272,006,826,041,321,745,940,319,898,985,531,375,961,738,520,899,682,
007,608,192,510,785,655,482,307,730,840,926,548,270,848,281,442,174,459,503,
955,778,725,965,055,808,682,757,198,215,202,521,444,944,577,101,829,869,899,
231,951,911,426,679,094,889,509,065,240,393,194,810,030,224,319,162,435,482,
806,309,563,642,720,081,634,336,171,999,734,695,651,038,429,197,103,029,383,
827,437,590,942,153,883,477,588,325,133,731,466,813,187,999,408,829,585,976,
662,427,456,662,333,415,041,370,769,142,747,596,232,909,669,877,624,461,710,
273,793,804,119,153,794,511,179,515,751,478,284,656,876,880,416,952,549,193,
698,899,671,636,388,159,134,546,850,749,592,383,910,704,791,285,773,680,077,
379,754,118,318,820,522,390,708,842,378,169,264,423,596,097,180,746,400,756,
135,305,308,650,213,001,266,793,838,380,234,840,301,484,892,647,819,052,882,
053,219,631,061,218,957,317,902,267,695,553,085,877,404,065,530,729,528,499,
488,044,080,363,113,977,633,428,417,604,630,445,056,304,110,346,461,092,913,
369,857,947,231,086,023,185,191,163,235,336,978,994,910,576,093,295,283,981,
225,153,008,315,421,551,017,641,258,582,429,792,627,600,986,002,843,474,211,
216,512,465,105,539,093,724,786,944,138,107,731,760,953,812,316,557,014,022,
868,519,610,748,701,993,930,767,989,104,099,172,326,899,304,903,581,938,857,
713,387,752,335,341,705,854,053,347,462,157,608,030,665,788,390,823,159,230,
980,420,809,094,051,362,753,145,676,890,387,955,956,404,500,544,620,591,838,
783,042,843,992,202,645,132,506,058,769,705,306,586,194,920,864,724,847,936,
682,669,467,640,259,196,646,940,185,380,225,588,728,496,868,263,982,741,974,
498,826,886,525,814,063,062,997,690,126,387,692,492,140,713,381,718,671,447,
656,336,941,872,704,258,239,949,137,445,734,685,158,043,725,054,214,148,114,
506,531,711,052,873,601,573,497,968,605,548,809,590,059,568,888,635,139,763,
605,430,665,212,699,569,115,014,002,824,916,644,199,187,776,228,511,082,084,
489,556,874,712,096,568,179,172,621,934,588,251,544,837,512,663,950,755,808,
972,591,876,995,332,265,040,308,241,415,957,333,311,443,844,307,060,881,045,
030,573,360,269,065,855,256,573,429,284,885,483,853,450,280,236,805,853,325,
455,454,223,743,969,713,925,368,797,815,448,079,695,399,081,109,172,072,826,
913,023,716,284,929,521,202,064,387,045,081,216,703,646,901,518,803,662,035,
838,057,225,799,619,730,059,876,583,026,641,892,900,511,204,692,553,809,441,
324,825,224,418,918,851,386,650,865,545,637,475,943,817,569,996,342,878,949,
802,329,841,927,404,783,518,864,017,851,949,079,044,074,601,718,921,942,650,
256,647,620,025,383,182,621,100,721,415,542,242,151,932,786,035,164,725,270,
653,245,778,892,089,674,862,080,414,778,334,547,893,283,891,048,301,262,793,
044,730,130,740,655,929,311,911,772,431,424,819,469,840,293,490,214,604,195,
648,799,617,452,611,326,099,217,337,929,780,110,465,174,331,234,153,760,835,
031,849,801,589,396,805,118,829,891,206,083,993,870,235,814,676,107,155,808,
207,475,584,752,320,215,638,519,322,556,324,617,547,034,070,481,586,051,443,
822,119,224,118,934,107,513,712,358,114,391,435,220,200,296,440,876,743,295,
632,956,102,291,993,120,265,200,745,587,383,132,942,068,312,712,694,634,365,
822,024,819,023,393,466,940,781,231,323,258,206,075,916,350,924,744,023,291,
062,888,763,135,124,643,275,493,230,692,292,834,242,554,073,669,848,612,470,
105,666,424,478,140,733,380,375,205,369,224,392,376,036,506,371,129,325,259,
403,288,699,195,332,656,560,706,950,853,387,638,117,306,803,072,925,494,290,
191,295,511,524,615,243,599,186,718,514,091,653,971,187,057,057,673,884,134,
246,639,767,409,425,965,079,510,645,174,536,176,655,778,093,121,903,717,832,
209,346,136,988,865,374,260,941,615,588,068,995,417,272,675,208,437,163,997,
588,790,491,072,394,148,083,945,211,892,255,693,566,927,503,713,370,635,241,
673,432,491,347,485,347,695,081,502,146,499,409,248,808,782,412,182,283,432,
458,132,730,279,584,098,979,925,223,819,393,343,909,287,165,349,657,469,408,
681,697,631,649,911,772,476,850,703,769,605,565,678,446,457,074,648,230,784,
619,084,116,925,861,512,994,595,028,974,178,320,861,673,383,054,749,193,187,
279,615,874,953,985,483,975,130,540,866,527,787,358,100,104,748,527,153,327,
408,207,338,096,477,036,246,446,886,650,890,394,914,461,217,589,786,455,078,
432,973,964,054,276,403,263,356,931,190,456,210,886,407,489,323,555,604,465,
958,180,820,238,357,451,131,162,796,259,577,391,557,715,441,246,837,643,232,
427,481,506,276,823,975,296,542,554,641,856,106,218,291,019,001,208,212,977,
241,251,810,032,100,843,288,277,766,204,672,732,266,326,205,633,188,728,531,
953,589,867,905,107,642,255,471,097,624,456,686,245,744,307,496,760,228,024,
165,309,222,376,321,937,957,107,046,403,136,630,677,308,297,815,983,213,296,
414,128,296,324,993,404,708,321,551,277,221,207,725,090,017,749,949,419,668,
439,188,141,850,360,742,483,916,315,229,995,848,510,307,582,322,852,787,486,
818,476,948,595,734,433,603,206,106,719,636,516,895,582,928,758,811,792,112,
156,011,169,626,396,514,365,815,711,262,527,772,207,392,206,844,577,730,782,
568,168,025,073,430,154,869,843,285,866,184,804,891,350,592,940,028,157,566,
125,012,209,667,380,182,324,500,923,275,152,981,929,026,199,960,656,030,253,
978,066,344,440,142,465,817,958,349,227,689,293,659,183,327,530,967,349,858,
814,314,438,967,582,191,994,515,208,489,258,412,945,260,716,481,685,524,322,
146,803,129,557,977,004,109,228,941,155,999,485,704,999,440,721,761,026,063,
968,778,205,080,910,711,070,095,652,769,200,546,761,241,003,421,184,185,042,
159,071,313,545,432,495,995,624,849,138,101,877,645,740,940,260,050,775,182,
232,983,138,043,996,674,814,398,682,289,605,472,273,776,818,164,790,852,598,
073,107,291,229,189,900,558,722,341,199,520,517,675,363,966,249,023,724,629,
803,225,306,419,224,260,321,897,735,211,017,661,443,550,887,312,716,312,338,
765,794,060,765,867,628,641,690,423,355,121,361,485,751,403,723,333,810,010,
823,945,085,429,526,584,687,662,576,648,999,002,661,479,109,014,056,915,671,
496,564,244,045,806,566,441,331,112,501,844,276,863,917,942,277,120,104,974,
571,251,175,460,306,928,527,782,866,033,686,992,987,496,313,622,579,686,199,
154,348,525,767,718,673,429,673,846,517,442,841,835,960,638,675,386,159,003,
534,436,951,780,037,336,387,895,548,438,861,095,180,568,891,989,353,896,858,
072,606,182,769,740,550,630,192,434,998,147,566,027,806,247,174,787,192,368,
217,242,057,281,424,940,084,589,263,442,049,381,314,884,041,225,319,598,603,
623,600,696,545,151,452,669,128,581,016,802,628,499,882,823,299,033,179,682,
002,049,490,701,367,803,629,684,578,549,626,839,187,079,321,372,459,275,580,
581,747,624,772,664,676,775,609,152,324,235,553,800,767,103,492,943,337,823,
695,565,191,484,910,232,076,793,668,795,481,821,415,423,628,142,758,838,955,
753,999,328,887,158,388,307,552,657,934,401,368,206,405,509,963,102,040,288,
793,473,544,909,605,246,097,705,984,786,134,245,245,363,510,659,511,234,667,
829,952,101,371,396,703,037,094,069,149,516,553,867,782,755,553,293,021,235,
428,881,836,677,572,749,598,223,506,927,497,692,049,253,010,530,215,469,292,
931,343,752,130,738,638,883,664,643,174,695,477,901,640,803,728,553,663,891,
463,732,729,905,448,884,536,131,474,923,315,506,342,277,659,160,673,734,611,
342,437,763,550,304,120,127,074,750,734,873,373,755,220,689,073,852,826,807,
450,776,744,956,351,015,089,491,558,163,537,709,074,477,838,933,345,817,219,
881,823,268,449,606,350,149,489,140,149,929,504,722,437,514,363,064,575,481,
903,450,004,606,546,352,755,957,266,182,712,932,070,172,178,361,334,293,154,
276,155,438,099,104,388,731,249,338,309,271,203,154,757,600,218,977,408,226,
385,366,771,524,245,173,524,455,553,048,474,197,570,084,642,045,030,868,776,
730,452,999,766,113,014,984,898,110,221,627,776,855,876,925,971,296,044,812,
950,154,281,610,831,134,230,344,935,028,419,610,349,201,637,055,751,278,781,
543,096,613,175,391,443,895,414,137,309,340,638,047,204,747,001,595,818,226,
253,423,098,462,298,691,338,625,447,123,145,048,051,499,511,440,116,510,128,
650,035,539,602,531,160,464,538,748,019,998,071,334,931,507,927,744,127,494,
021,844,224,276,502,173,684,179,707,777,346,579,196,898,292,226,605,126,310,
771,911,892,417,720,049,689,494,204,762,658,667,446,584,112,001,641,483,303,
834,223,595,168,071,645,673,298,670,190,696,801,406,925,429,234,806,163,935,
797,842,664,552,296,014,926,907,171,733,157,124,936,767,173,576,343,910,637,
184,072,908,585,320,219,011,100,434,621,335,965,498,943,081,839,191,953,646,
057,051,960,785,947,727,123,495,707,261,524,419,015,463,528,729,569,558,996,
614,441,476,243,007,510,948,154,332,465,543,280,244,984,486,101,880,515,886,
264,962,721,313,286,787,443,284,861,289,179,132,785,290,692,914,021,277,940,
910,034,327,513,564,286,159,094,174,956,063,591,807,283,160,302,101,286,008,
105,789,009,559,414,644,624,755,157,538,667,699,605,174,943,243,469,757,032,
822,673,749,879,107,450,918,586,407,696,913,224,571,691,216,841,077,944,858,
013,162,840,897,641,551,048,393,700,753,090,727,448,026,701,372,651,727,772,
885,554,351,440,851,049,313,501,717,497,835,219,120,656,454,001,024,687,110,
099,100,442,102,438,851,019,198,311,846,635,021,359,332,247,631,745,891,965,
770,464,126,336,488,710,626,652,195,034,077,284,933,155,171,730,570,519,742,
160,315,222,510,209,994,240,993,277,446,651,803,190,894,629,845,546,956,147,
923,586,004,874,692,732,794,514,195,343,829,438,129,867,916,832,326,093,991,
945,232,413,964,528,027,925,032,999,624,344,440,409,264,020,158,565,101,912,
640,691,904,218,707,941,979,424,229,048,171,123,871,426,303,555,856,392,440,
202,402,543,482,904,121,730,813,771,757,290,915,825,258,853,322,866,546,469,
185,170,284,009,773,711,441,280,037,812,332,791,325,106,421,001,786,543,962,
183,733,750,805,514,264,088,623,310,470,324,049,524,742,895,289,233,319,428,
277,097,488,823,602,556,598,944,992,108,602,279,282,366,129,748,818,893,386,
184,599,274,870,238,818,647,455,223,083,646,233,781,281,069,712,999,026,193,
573,308,323,683,703,872,407,914,952,017,733,401,491,990,715,479,951,504,445,
971,567,589,782,728,335,754,208,042,990,956,651,204,041,759,784,609,068,848,
880,280,330,469,005,694,597,975,663,962,826,214,899,489,079,451,105,443,106,
817,303,971,589,303,880,330,102,586,090,021,341,052,778,766,741,283,699,396,
121,081,827,279,054,473,982,330,385,324,101,472,090,420,114,624,240,199,134,
527,443,255,515,277,905,462,032,233,899,800,345,740,118,616,480,565,741,672,
711,581,116,311,221,487,613,924,310,939,554,479,600,802,986,089,695,853,354,
463,531,785,232,483,467,413,491,316,791,828,315,530,883,986,579,531,869,952,
406,077,692,376,272,473,221,240,119,845,512,236,290,034,822,039,754,699,251,
048,418,217,346,075,996,954,224,733,474,274,944,406,424,875,776,145,896,406,
919,515,591,457,118,774,678,340,660,933,874,656,962,500,753,859,439,787,269,
949,152,401,072,305,154,243,608,021,153,665,910,152,721,531,621,333,497,800,
814,169,636,853,797,507,591,992,260,729,992,269,378,782,477,038,505,270,214,
341,291,054,687,952,972,562,637,471,087,790,720,731,847,379,766,796,388,383,
810,443,809,424,519,999,402,695,000,572,001,250,257,228,944,323,276,660,471,
409,305,950,303,586,058,945,110,443,731,745,450,168,690,671,754,930,662,384,
723,831,294,717,419,273,717,855,426,537,090,467,370,519,709,734,728,651,506,
319,285,188,917,818,615,950,080,776,108,412,277,819,449,001,311,874,259,574,
896,979,888,291,325,363,594,086,752,886,510,638,986,079,942,083,936,877,699,
763,894,156,458,660,550,498,951,468,700,129,760,844,771,835,468,822,144,916,
712,563,187,446,011,787,038,139,766,371,297,011,866,148,176,795,179,688,808,
543,451,902,112,847,071,373,745,327,513,258,760,443,189,301,339,916,949,004,
338,354,324,197,756,895,982,080,867,492,555,285,980,623,868,158,093,345,404,
239,580,421,592,041,284,098,163,171,881,882,048,603,307,264,024,863,028,348,
399,367,590,653,269,654,933,979,717,056,202,807,115,932,377,592,198,165,271,
592,133,906,417,573,190,553,834,345,111,264,669,333,717,712,816,370,631,062,
325,889,661,385,309,829,954,661,649,423,700,842,409,788,081,706,237,291,246,
819,584,796,182,490,441,816,272,554,508,306,957,372,561,480,400,098,620,154,
566,697,320,707,056,182,805,341,736,640,669,086,535,720,194,760,771,875,674,
530,883,185,743,480,835,147,241,486,665,687,461,907,634,945,733,575,303,701,
420,124,516,691,408,209,775,046,151,003,839,264,797,797,048,518,858,932,404,
666,101,538,770,111,100,471,530,281,410,723,378,790,697,622,016,441,204,478,
695,119,836,082,027,234,819,240,641,457,910,099,770,645,651,171,058,058,408,
626,160,875,131,498,344,132,653,181,319,540,974,405,513,053,464,488,424,019,
899,357,453,145,789,441,232,216,346,190,264,177,554,545,127,717,554,370,703,
394,996,634,110,122,780,773,692,451,375,684,647,122,563,315,227,196,254,556,
345,032,026,942,218,015,088,902,306,558,485,357,670,909,374,462,071,945,066,
141,758,549,252,440,965,106,917,670,087,578,690,007,035,748,550,950,502,257,
703,760,117,812,249,537,763,279,783,271,278,087,529,808,269,541,676,679,920,
112,865,828,660,339,320,024,412,689,007,698,336,532,366,810,734,690,872,427,
137,793,438,900,571,450,393,261,595,816,252,262,335,717,005,885,357,396,216,
923,337,469,210,397,963,456,979,628,586,000,627,624,829,998,086,414,344,697,
888,588,347,207,511,034,594,788,587,361,205,258,277,792,231,015,716,097,390,
825,027,146,718,078,561,207,725,524,422,283,100,217,123,332,643,104,889,054,
315,459,229,717,239,311,416,312,383,363,351,082,243,672,715,498,837,847,539,
419,996,108,719,363,149,086,012,278,075,803,883,143,518,302,796,053,565,308,
620,927,309,494,340,829,922,688,303,684,197,373,040,638,874,848,571,549,249,
680,016,767,970,938,991,545,619,928,433,615,281,418,780,651,549,178,967,247,
263,507,016,079,378,925,839,445,526,761,311,609,380,288,388,084,870,368,215,
784,274,317,697,967,916,486,930,680,850,406,800,721,190,726,669,143,326,737,
215,018,954,169,241,994,677,618,524,151,458,760,584,180,814,626,122,561,772,
912,464,621,590,264,275,170,902,588,469,834,849,682,469,566,773,386,962,643,
148,287,641,649,381,435,241,046,956,384,293,232,860,113,554,819,753,041,600,
575,979,441,271,464,329,675,236,438,087,443,270,707,935,229,915,373,795,983,
684,573,537,259,370,720,225,548,309,943,248,546,033,778,459,757,671,230,020,
250,559,721,666,969,885,711,351,348,965,659,295,801,327,455,166,521,838,670,
489,540,780,602,166,683,957,188,877,740,198,983,676,399,161,625,494,897,435,
570,543,466,652,275,611,111,028,797,672,955,623,807,333,442,154,013,024,265,
664,362,117,611,345,700,137,067,702,413,686,041,014,913,386,245,007,051,697,
252,565,451,539,337,165,729,852,193,106,668,296,030,694,002,608,767,300,221,
412,922,371,383,462,467,693,756,091,221,518,915,708,747,165,262,531,231,985,
628,283,963,140,016,213,743,653,013,841,102,492,278,493,190,505,802,412,114,
059,004,693,755,626,129,944,834,350,057,580,549,004,828,140,212,854,354,773,
143,638,000,060,677,736,733,311,400,759,562,976,902,971,021,539,461,030,379,
262,034,153,514,951,242,229,744,258,173,919,154,976,886,239,682,065,258,757,
446,144,042,886,539,897,733,920,134,557,594,679,151,233,148,060,378,280,504,
405,694,788,643,619,817,660,195,077,711,576,973,637,410,224,820,667,789,608,
445,077,784,245,061,611,224,468,297,269,763,005,499,050,333,925,604,284,998,
372,873,374,685,628,795,122,160,689,168,847,527,445,896,957,647,435,047,587,
697,722,121,142,379,788,429,713,169,224,049,667,442,181,687,688,912,701,360,
698,044,915,041,522,425,510,913,872,404,811,382,942,155,490,553,034,244,746,
177,235,518,084,444,941,669,703,072,154,673,637,094,522,794,689,336,362,301,
972,166,094,870,154,568,074,902,415,669,930,282,151,328,618,829,498,103,061,
564,342,378,536,797,816,360,071,097,286,961,198,532,888,373,859,299,057,099,
502,308,081,127,639,782,497,427,522,315,145,954,253,954,939,274,731,303,812,
743,624,661,999,812,497,703,745,395,519,881,599,275,478,634,728,477,206,725,
157,520,245,911,096,594,131,397,861,989,588,650,257,065,255,738,405,553,954,
022,642,207,787,829,179,315,500,123,859,088,277,000,315,303,548,643,789,292,
536,702,005,141,016,391,393,844,111,421,759,452,128,645,933,389,422,138,022,
845,740,397,445,034,688,637,707,375,987,528,150,390,350,132,022,699,333,118,
323,075,402,505,150,283,104,715,294,985,540,239,196,728,331,314,309,744,412,
284,468,028,302,910,436,524,242,595,166,095,241,011,574,321,299,401,406,230,
952,938,878,781,958,792,626,208,709,714,292,555,116,851,898,597,278,685,426,
763,010,563,697,956,396,447,735,529,707,271,742,168,637,001,185,718,225,917,
256,818,126,569,990,671,339,977,975,358,780,501,943,654,978,760,444,172,864,
413,785,376,471,243,011,821,074,011,527,135,061,555,853,108,349,518,269,288,
531,815,067,652,770,410,781,041,633,120,049,429,921,699,914,893,904,937,989,
381,290,014,724,569,343,412,506,466,566,810,410,556,291,695,922,332,446,388,
457,882,867,901,209,568,399,154,730,188,388,624,424,793,577,214,552,320,628,
642,957,589,136,721,611,918,874,862,982,519,700,846,713,109,017,055,411,808,
439,977,101,868,179,214,858,153,494,846,958,553,641,329,494,473,230,358,417,
368,687,204,547,095,708,618,100,056,999,718,136,892,847,021,534,265,869,265,
883,135,448,154,203,282,956,626,332,078,831,630,923,420,019,098,490,399,714,
104,864,869,296,379,618,484,531,906,748,974,353,189,389,132,404,611,619,875,
788,043,950,055,467,862,755,266,057,400,577,079,367,282,311,224,225,342,341,
207,021,046,233,749,162,399,790,888,322,581,479,333,716,666,798,782,258,400,
278,604,418,871,445,649,840,172,111,185,362,276,726,290,275,565,346,230,001,
823,026,783,542,526,117,656,675,153,954,819,001,491,859,110,132,846,917,340,
581,621,765,904,664,389,803,129,215,020,051,574,584,224,633,069,756,752,502,
736,647,883,361,374,651,898,770,829,010,676,894,624,055,667,009,944,790,719,
131,266,221,148,460,467,659,114,009,379,887,855,982,119,900,285,677,884,187,
849,633,130,585,990,371,667,398,451,706,237,129,147,964,464,157,579,175,770,
947,751,142,601,906,954,363,536,741,261,646,819,393,215,968,543,258,747,633,
939,010,473,541,877,185,183,780,327,861,286,273,037,669,096,889,617,235,989,
040,845,602,816,325,510,158,336,638,218,529,091,025,937,936,224,485,259,605,
859,139,175,202,907,080,335,173,508,904,096,618,857,547,560,049,887,931,678,
410,511,863,258,898,040,508,220,196,765,784,120,750,549,001,707,558,828,827,
413,562,005,138,807,505,460,080,500,307,608,668,617,201,073,599,185,250,524,
516,383,012,023,366,750,580,376,654,817,261,873,682,017,521,877,825,260,470,
953,568,209,813,407,483,164,187,018,214,173,841,652,420,053,281,586,976,640,
657,649,582,364,884,537,342,947,228,364,608,827,254,146,160,761,217,745,944,
304,377,101,449,455,153,750,391,916,852,952,455,633,453,492,012,993,819,615,
193,679,696,825,107,923,063,997,272,264,541,857,872,306,559,327,056,639,531,
546,243,578,693,155,079,342,857,118,193,373,155,378,170,260,560,293,854,296,
279,077,012,434,484,594,709,434,298,032,475,033,952,537,471,888,705,315,350,
515,320,447,774,751,088,533,631,527,037,746,916,597,084,953,687,543,173,646,
157,697,729,280,573,700,016,323,378,763,716,644,455,778,297,833,569,725,663,
780,905,647,964,689,862,184,754,532,478,292,162,863,555,395,051,840,269,373,
499,336,768,970,248,155,174,989,008,332,656,956,942,000,150,091,005,020,649,
034,971,572,839,969,326,562,983,496,964,011,815,974,999,183,835,895,090,130,
423,342,791,553,214,304,066,182,955,313,764,770,335,309,238,369,108,127,241,
325,215,219,411,368,847,648,949,637,645,970,537,777,597,343,737,847,942,927,
956,067,403,195,786,950,124,846,381,630,180,756,012,390,547,830,957,780,682,
904,101,891,636,077,377,330,721,348,178,312,262,241,220,476,635,559,617,337,
235,931,220,777,106,101,627,263,622,927,135,470,794,280,010,000,104,069,177,
503,856,301,586,778,526,475,544,575,388,393,435,173,510,534,801,764,661,739,
456,833,421,005,996,709,015,330,839,723,159,906,352,020,685,095,343,853,287,
476,576,133,934,817,391,163,612,414,535,383,672,380,518,147,838,787,511,611,
788,458,356,283,909,241,765,683,489,268,582,653,957,024,269,091,528,295,283,
060,732,307,798,842,571,780,197,172,042,162,821,608,355,569,727,499,477,465,
297,754,109,361,827,995,365,157,233,367,213,110,271,778,700,109,252,495,442,
871,628,806,612,309,436,552,220,934,201,155,452,324,773,776,720,101,165,827,
703,249,005,457,108,162,768,259,763,943,936,148,873,482,818,852,533,556,135,
678,855,096,287,317,512,581,124,112,844,545,377,693,139,972,437,456,023,556,
881,240,579,890,678,041,436,698,693,641,071,003,890,741,706,065,794,389,417,
003,705,264,999,857,058,547,985,817,434,049,263,863,577,260,228,956,146,054,
253,664,386,426,856,030,434,234,464,915,416,942,550,728,921,863,069,568,768,
466,096,002,908,580,742,066,728,982,407,545,553,937,592,771,178,401,560,487,
818,171,895,820,390,862,300,400,257,018,086,714,212,716,709,814,411,871,031,
347,928,013,313,613,374,255,992,028,047,860,353,889,553,790,917,534,279,221,
964,836,568,783,504,012,925,317,349,121,497,714,780,285,725,319,172,527,121,
705,337,543,246,683,247,247,821,595,127,412,581,216,410,097,780,829,620,425,
192,202,761,677,932,889,870,304,958,313,681,046,193,051,384,670,307,877,884,
447,581,677,465,672,824,847,354,775,190,987,617,769,538,538,310,214,304,984,
598,624,488,598,350,662,902,988,617,434,473,347,859,485,732,197,326,189,692,
214,233,871,249,176,699,157,764,470,713,815,704,400,514,760,382,190,184,311,
728,965,992,558,115,859,013,143,247,831,926,145,753,877,350,526,052,580,025,
581,535,295,684,533,445,830,814,028,575,160,514,570,277,209,403,060,069,874,
130,451,531,536,411,201,155,753,718,701,026,734,557,379,288,067,318,480,926,
438,420,989,918,497,146,916,823,185,395,946,072,729,359,709,258,657,274,712,
541,181,476,999,305,478,847,670,548,803,597,292,809,541,126,857,325,747,286,
751,726,739,507,997,432,384,857,149,900,281,907,614,974,685,908,606,599,016,
977,060,724,275,331,394,038,135,237,481,089,208,352,442,352,902,979,673,837,
609,697,124,813,353,276,323,644,456,330,567,126,207,089,986,904,780,168,052,
852,743,680,122,446,620,194,415,581,882,174,498,388,959,753,134,400,412,197,
769,964,256,967,255,686,694,123,985,745,372,306,434,685,575,862,570,930,289,
717,886,470,808,522,942,976,345,590,860,057,734,075,025,864,057,948,024,284,
060,950,344,379,844,574,242,755,159,578,560,479,620,810,188,048,541,799,564,
203,086,315,314,226,155,285,423,006,320,228,777,964,717,603,658,373,353,788,
894,139,277,238,291,643,980,688,329,353,656,152,779,968,095,210,521,766,989,
296,576,039,863,418,433,594,552,715,987,606,625,578,330,406,242,410,419,094,
403,735,898,721,419,070,161,346,178,360,582,765,437,717,792,899,378,963,919,
278,789,543,522,412,462,874,866,686,686,606,527,957,029,321,399,366,974,247,
499,279,407,021,268,866,778,058,425,363,798,056,796,108,128,425,157,379,081,
883,378,037,313,664,749,778,939,023,914,762,386,796,704,185,405,466,490,703,
834,492,800,905,499,118,191,491,549,154,127,647,914,374,487,038,530,922,306,
614,307,335,037,068,993,883,666,963,491,635,674,521,687,380,945,226,161,452,
477,286,681,939,614,761,428,992,953,827,611,378,656,396,243,187,681,369,311,
349,490,982,191,662,981,514,965,091,041,478,379,860,565,175,474,877,161,929,
831,647,486,918,680,095,652,960,916,998,968,180,647,456,862,147,143,742,606,
236,226,749,561,663,269,091,838,424,553,741,849,207,270,939,585,908,587,582,
158,926,460,665,074,807,611,315,786,800,455,182,786,777,023,626,486,650,603,
044,021,752,051,800,380,994,174,077,023,221,759,403,762,458,272,222,691,277,
326,872,194,801,768,321,105,373,691,898,844,636,584,211,410,704,106,772,577,
103,024,015,131,687,036,373,150,326,698,498,981,027,554,835,824,502,277,421,
222,133,236,244,743,998,533,662,095,266,391,762,017,770,862,078,720,512,384,
341,680,540,815,835,277,308,896,573,954,095,168,155,552,152,470,037,218,998,
922,481,801,173,003,000,902,719,922,612,499,566,834,695,329,665,615,321,418,
914,061,645,754,542,194,896,433,831,899,338,192,245,546,455,287,722,729,372,
470,847,403,794,032,168,918,671,615,421,319,034,858,417,530,299,435,830,346,
938,282,087,186,257,569,444,006,558,383,364,371,875,441,957,044,283,604,935,
015,483,774,835,815,295,200,227,772,451,259,186,728,189,892,909,322,920,901,
553,354,244,949,372,371,089,312,323,913,466,220,939,227,595,059,089,242,373,
119,994,313,205,004,303,661,347,060,486,997,230,576,754,338,307,312,267,758,
501,054,679,533,035,987,021,071,763,737,768,909,803,967,646,756,289,344,736,
015,376,459,399,024,865,664,250,219,667,157,744,658,209,135,954,780,845,524,
606,195,764,378,581,762,971,762,991,129,647,490,148,426,850,924,367,884,708,
351,075,647,619,558,209,393,776,287,844,485,256,933,899,819,192,451,125,385,
494,838,803,152,357,775,668,755,679,390,082,896,171,374,459,820,968,977,205,
716,432,039,659,817,726,453,182,046,723,814,181,901,106,499,823,510,470,704,
932,736,153,262,518,886,697,493,771,789,978,536,400,921,357,522,537,391,777,
728,318,551,195,397,720,034,326,368,569,097,613,892,477,688,135,569,788,346,
453,957,285,272,640,431,423,649,733,863,603,922,830,308,867,098,745,502,915,
250,718,831,245,877,517,961,844,777,264,982,329,648,549,576,946,659,070,001,
182,405,276,289,257,079,249,266,113,643,405,002,478,817,488,257,565,642,420,
942,203,180,698,866,243,464,776,815,152,561,511,695,834,071,913,469,099,532,
056,262,505,867,697,805,809,865,748,825,384,180,990,104,505,525,960,954,106,
709,190,750,466,704,610,266,567,288,207,644,816,521,608,568,422,608,900,598,
101,347,704,169,927,926,737,997,143,745,708,589,077,734,762,261,084,199,577,
619,936,868,654,476,802,876,303,620,603,188,894,788,625,833,939,892,124,156,
121,010,282,947,932,529,649,124,273,208,204,796,858,709,775,929,161,937,261,
893,142,250,392,074,956,281,638,075,927,688,855,269,518,669,568,495,312,995,
910,885,827,251,439,826,454,675,845,224,860,849,008,935,860,698,017,961,231,
495,493,636,140,865,190,022,552,576,701,205,854,675,605,311,922,399,816,459,
034,976,696,307,313,543,569,187,038,179,484,289,335,232,810,729,144,866,045,
769,960,413,077,071,395,815,151,729,075,625,743,882,565,645,008,573,919,435,
548,397,798,550,254,675,519,912,885,926,534,366,726,958,244,689,342,875,518,
974,707,219,176,736,819,484,061,880,609,062,339,873,713,385,882,644,954,430,
027,421,893,358,574,267,285,398,451,347,496,681,300,236,175,234,092,714,305,
184,521,720,993,958,961,453,768,613,057,972,844,046,668,908,007,535,589,613,
693,600,319,365,268,758,644,017,105,373,417,762,622,134,803,357,338,705,544,
187,732,841,569,523,506,394,250,831,311,500,715,506,805,249,166,180,762,729,
196,664,364,347,093,846,782,798,174,480,562,641,931,389,159,505,488,026,126,
758,868,471,542,880,206,898,718,939,211,494,158,012,988,378,071,820,213,383,
979,605,136,057,288,013,855,783,884,838,490,780,631,457,068,045,178,239,396,
387,065,507,717,970,334,243,728,739,111,758,030,505,198,176,853,136,459,934,
545,672,708,081,458,926,544,386,238,257,739,793,042,018,867,432,081,971,305,
359,698,348,968,162,932,664,262,876,748,121,233,165,685,475,747,543,809,245,
503,988,475,000,886,194,384,187,980,526,082,852,870,508,056,414,306,002,500,
830,665,743,554,379,552,808,796,441,429,324,543,849,220,309,305,030,730,736,
304,698,305,909,914,357,314,633,234,246,650,295,164,002,130,174,766,498,497,
469,425,692,235,491,151,690,416,018,969,385,207,637,008,814,026,551,422,978,
807,145,824,920,241,457,920,711,968,244,273,299,964,739,782,605,879,346,370,
445,866,169,342,601,978,202,021,230,878,575,653,288,462,313,101,440,733,163,
269,246,980,848,390,814,644,763,108,198,693,399,892,568,326,073,790,888,617,
312,638,833,272,510,836,056,145,508,766,225,844,785,660,317,818,000,747,674,
716,182,755,994,563,523,554,555,294,539,558,611,384,432,163,056,436,506,785,
618,638,430,742,309,552,671,853,930,005,919,992,858,899,409,831,985,344,048,
283,192,008,174,005,343,004,452,845,474,344,575,496,899,555,143,919,917,643,
844,474,870,941,489,928,538,595,027,993,359,285,626,004,675,832,704,427,391,
904,886,607,096,230,132,928,254,806,150,995,744,803,560,993,990,566,136,573,
848,383,750,529,598,798,533,446,138,745,997,481,285,076,709,530,219,808,043,
490,360,338,506,220,795,693,816,723,121,549,373,852,022,064,666,276,913,360,
457,349,258,350,366,373,686,786,007,151,144,354,665,458,648,614,506,753,876,
830,287,741,094,930,203,160,713,868,218,714,837,380,873,785,832,139,893,023,
882,894,087,840,307,347,227,937,179,392,334,514,165,391,817,142,771,344,653,
716,772,102,629,312,944,658,948,028,819,624,485,463,760,024,895,550,703,548,
713,975,883,368,463,969,872,292,758,828,600,889,146,901,522,463,741,247,601,
462,732,063,423,846,809,528,625,595,750,266,973,844,310,287,533,623,020,803,
151,571,863,088,724,077,853,754,809,645,289,109,499,949,246,862,524,331,947,
595,523,997,110,080,671,129,167,868,514,322,264,026,872,366,097,539,292,535,
904,619,892,713,140,700,627,065,253,762,170,161,003,271,650,494,879,531,196,
601,727,302,036,911,887,195,615,821,296,600,668,037,150,333,061,967,201,574,
633,555,628,708,634,304,962,780,976,976,430,128,872,526,641,867,439,978,943,
730,971,326,375,099,920,470,679,088,170,265,964,668,965,326,161,239,409,822,
384,613,141,774,862,378,662,043,591,444,746,494,813,695,210,152,297,713,536,
078,373,243,634,254,459,087,128,490,475,026,939,215,793,060,420,896,551,130,
441,877,928,173,183,032,159,398,772,819,142,295,178,161,883,290,455,540,025,
065,173,961,167,438,009,806,745,525,042,093,929,130,918,115,909,608,595,466,
364,891,258,770,481,318,602,288,782,918,487,908,398,021,377,783,919,163,663,
589,760,175,921,799,855,050,350,418,371,647,855,247,080,387,157,162,495,507,
455,846,064,047,779,705,582,816,485,047,262,322,416,668,554,368,067,813,788,
735,385,556,022,812,054,681,940,963,318,651,443,157,430,986,154,831,811,918,
103,232,586,812,833,523,005,052,235,235,833,483,391,371,095,256,451,487,655,
471,494,176,969,751,860,943,795,515,173,689,687,810,803,352,152,796,470,236,
623,994,853,098,434,540,732,023,651,130,990,828,471,183,246,622,284,695,952,
689,246,479,752,193,932,524,562,997,753,632,733,365,135,101,896,044,652,282,
076,645,782,203,574,494,395,681,807,918,478,906,807,405,358,269,681,354,984,
655,690,014,374,599,668,975,963,017,441,153,035,354,726,798,857,582,685,597,
248,342,463,911,485,054,818,683,947,212,123,067,646,156,393,342,577,802,075,
516,547,566,596,913,949,836,547,482,057,350,963,109,781,915,974,362,828,945,
864,350,961,181,134,980,689,470,592,772,324,882,490,465,737,557,701,105,194,
628,979,231,068,066,238,851,595,513,552,460,094,718,084,980,729,562,356,369,
787,519,615,047,895,860,884,829,749,888,165,431,418,110,415,939,991,469,530,
321,930,317,683,312,441,373,020,682,442,713,855,447,475,358,305,339,557,885,
311,786,330,753,740,928,311,153,212,504,842,737,516,132,440,459,931,854,827,
201,357,877,173,634,419,252,660,976,107,671,722,666,509,473,040,198,619,882,
652,547,290,420,371,393,544,875,064,037,562,056,611,427,020,110,568,593,165,
925,838,385,336,291,830,254,606,786,107,809,734,063,418,614,887,438,063,458,
337,040,040,743,733,536,733,947,210,911,306,774,914,206,510,003,316,216,104,
203,387,858,889,852,421,296,991,777,680,201,642,096,320,162,897,499,321,200,
147,682,327,778,348,500,080,568,430,625,372,292,704,825,885,963,472,523,928,
879,975,010,638,422,838,909,476,696,195,092,077,434,397,528,372,641,496,635,
943,029,945,806,101,280,648,201,188,904,983,675,068,639,833,607,720,500,784,
505,169,157,009,769,354,372,583,756,253,395,740,025,807,563,166,538,694,059,
712,768,169,078,564,064,722,909,815,844,704,940,123,632,479,108,034,087,585,
095,392,985,367,004,702,586,489,850,609,733,148,359,790,920,153,150,507,619,
123,827,200,637,765,225,882,703,858,785,892,893,055,894,326,818,347,212,504,
035,882,415,141,116,570,232,279,478,311,668,351,164,070,944,429,025,616,431,
375,647,119,222,169,381,301,056,730,298,282,294,320,685,025,287,228,639,769,
236,937,852,926,360,595,781,607,750,863,355,924,576,955,294,309,882,916,378,
535,578,605,862,658,036,736,482,495,089,068,840,287,458,836,122,167,785,542,
354,824,697,498,686,109,226,117,075,700,450,903,431,544,820,980,744,292,424,
576,183,584,947,887,979,058,636,854,512,377,786,864,033,156,287,105,994,073,
568,334,455,916,622,480,639,543,640,498,362,850,808,188,976,583,315,119,085,
331,851,646,289,560,476,293,515,073,386,491,236,408,952,538,630,492,296,104,
276,020,259,099,119,424,354,851,178,184,780,420,379,904,594,977,436,904,892,
435,366,988,902,768,899,103,270,340,146,197,901,171,316,019,405,519,680,357,
159,299,946,607,422,319,643,745,834,405,929,436,285,881,369,252,777,894,759,
845,152,743,610,063,019,378,256,156,617,041,141,586,833,068,358,522,945,150,
661,629,944,716,315,168,494,303,594,599,324,751,134,274,215,995,399,206,624,
545,239,867,645,913,904,617,463,565,757,245,426,682,523,192,465,445,207,436,
837,640,532,658,080,128,538,475,694,318,100,249,832,198,669,472,565,452,706,
911,827,004,752,589,335,165,440,835,317,815,431,388,504,323,130,765,500,921,
775,750,567,910,830,887,949,321,542,841,071,022,216,643,080,282,422,095,975,
695,258,793,748,946,587,628,854,547,278,919,905,412,171,577,905,129,930,700,
645,954,019,726,210,434,019,958,197,946,089,246,761,722,946,299,579,847,275,
581,408,242,866,304,385,292,908,924,382,245,467,697,486,719,474,473,013,341,
914,421,057,566,815,479,821,809,635,505,202,477,471,390,349,586,994,486,654,
087,302,552,500,662,450,634,607,156,088,901,834,080,122,655,789,289,055,861,
921,480,179,429,122,013,498,370,157,254,479,632,090,211,815,288,085,049,163,
262,813,732,314,668,728,588,404,482,612,918,061,383,512,441,850,770,214,413,
999,298,524,458,160,571,664,042,500,143,278,823,102,919,092,101,643,501,217,
430,066,125,013,221,943,519,968,262,262,194,678,406,176,284,765,930,972,773,
145,581,038,966,236,989,688,099,331,692,133,816,467,811,491,205,996,818,618,
524,236,708,859,606,856,955,535,984,705,213,397,790,586,494,685,922,985,640,
584,110,294,978,463,946,616,701,898,287,978,820,540,361,360,209,447,925,225,
481,882,744,406,685,156,999,176,575,218,485,869,913,733,943,723,997,740,596,
595,965,313,226,056,638,163,654,794,532,346,285,548,136,373,919,387,974,461,
391,366,396,486,304,969,514,956,385,422,232,628,838,812,407,049,503,162,953,
754,974,341,228,115,334,496,581,944,352,168,128,748,285,795,429,700,336,792,
869,078,955,945,479,119,077,496,711,518,692,750,953,939,593,317,167,790,805,
107,901,453,585,597,957,407,163,473,774,476,467,895,435,376,688,046,635,895,
753,704,038,106,690,492,561,632,231,878,657,882,594,358,105,915,687,690,508,
749,187,182,551,977,731,231,205,834,518,054,397,110,312,528,628,827,008,197,
138,829,814,457,352,132,685,527,930,743,764,148,212,104,763,137,092,341,928,
416,823,154,543,058,029,386,996,381,426,811,717,015,115,834,519,042,650,095,
997,090,212,077,598,839,877,620,326,316,841,313,076,251,301,104,281,834,927,
735,298,471,039,364,689,351,231,615,871,803,327,928,793,134,312,380,960,585,
243,160,431,632,389,350,511,105,775,879,267,186,439,552,374,812,380,445,094,
726,150,250,329,612,023,617,769,635,425,469,674,050,805,253,193,194,098,535,
337,468,325,410,573,710,875,305,082,782,743,563,431,297,591,092,135,226,122,
064,039,352,465,142,653,247,810,204,697,179,697,645,980,621,535,649,004,262,
869,725,197,695,785,733,710,111,277,234,271,160,675,340,984,923,091,469,465,
591,100,478,099,846,654,766,571,836,297,746,234,210,441,047,977,313,800,440,
210,921,247,281,601,207,642,431,642,196,470,777,908,427,695,359,059,067,952,
737,456,256,620,551,886,565,248,162,718,238,514,657,012,497,623,893,816,630,
055,409,645,825,031,465,413,141,656,762,155,185,639,276,903,385,942,058,919,
418,355,982,350,254,881,611,961,767,133,172,783,213,000,391,822,537,402,335,
409,512,410,693,502,329,033,105,090,262,094,239,263,111,351,478,350,182,678,
771,852,490,714,955,023,842,201,147,160,530,276,624,921,575,007,837,699,682,
416,697,632,008,026,117,288,634,246,076,866,576,879,429,273,439,556,574,967,
534,582,415,701,957,141,811,154,540,666,022,042,414,317,076,301,386,082,107,
465,036,986,192,757,845,701,461,819,102,203,587,361,730,409,739,389,547,031,
714,684,871,404,809,686,173,334,790,765,739,854,486,546,296,412,057,937,981,
234,284,474,697,942,120,769,261,888,943,024,107,065,117,704,068,331,480,965,
766,857,451,422,248,631,304,765,453,690,278,624,273,010,394,605,902,325,631,
995,163,137,303,489,231,026,856,487,966,144,474,918,582,835,015,198,488,223,
306,249,131,109,979,189,614,462,803,930,187,300,134,721,882,837,467,811,557,
501,290,784,171,446,860,022,219,493,227,731,784,338,925,873,536,228,008,283,
430,724,650,628,480,175,454,382,346,611,753,373,401,535,805,886,478,901,026,
702,268,671,780,789,121,524,822,719,277,738,376,445,257,574,236,235,577,975,
856,129,252,883,276,367,603,413,369,379,726,217,912,587,102,911,480,878,937,
172,107,565,653,607,483,868,659,402,405,390,338,361,086,776,698,119,569,090,
048,546,195,515,715,333,790,580,048,372,990,090,277,341,154,034,893,829,874,
301,418,567,409,723,377,089,087,007,001,299,884,990,032,422,282,448,150,955,
509,072,454,825,088,888,945,733,301,439,568,940,967,169,760,241,319,808,143,
549,815,102,143,545,562,253,279,043,555,660,856,022,960,116,954,229,157,304,
021,721,215,697,805,450,337,160,884,083,438,972,792,935,837,921,557,319,309,
688,324,607,641,018,724,614,846,041,005,225,050,645,312,447,621,430,377,301,
802,426,380,247,512,559,398,232,768,084,282,928,858,133,387,374,279,718,152,
962,555,641,252,569,678,666,025,713,847,077,900,911,556,319,834,872,244,137,
727,560,981,790,212,982,873,685,569,392,063,553,034,739,364,653,067,381,815,
549,452,226,960,125,144,946,423,825,872,578,600,876,589,010,059,872,349,459,
437,689,536,779,649,332,279,266,493,176,804,100,263,574,345,433,489,101,828,
904,345,022,111,593,168,704,659,768,578,224,922,571,465,331,566,290,672,005,
395,180,776,023,741,336,528,960,786,293,101,730,129,048,658,551,872,576,325,
021,201,966,398,377,072,797,952,776,412,820,598,633,295,902,026,202,130,589,
989,383,015,361,880,052,811,906,587,370,196,593,613,820,768,797,183,331,045,
485,861,919,877,288,974,281,131,015,309,725,058,643,181,733,785,651,653,959,
229,166,547,153,286,493,014,943,717,553,357,810,778,909,012,886,073,907,455,
625,503,428,411,382,050,798,734,057,779,260,412,666,039,569,133,729,067,511,
435,169,158,068,920,719,552,874,740,245,550,542,704,001,575,175,049,960,185,
791,786,348,440,407,599,722,233,712,162,620,745,217,273,525,387,893,806,961,
980,949,552,418,978,269,049,136,416,766,021,624,656,235,902,892,509,021,777,
679,908,206,931,639,543,879,230,034,465,372,266,012,722,096,042,787,984,499,
717,554,459,190,325,761,313,897,522,604,443,793,588,593,529,604,322,222,323,
357,994,985,934,718,361,760,818,371,528,935,134,700,964,503,695,974,707,232,
935,852,989,266,032,730,088,357,997,912,781,630,432,761,257,343,619,673,693,
084,782,429,938,128,610,406,618,325,755,968,712,582,781,459,174,752,535,180,
040,593,876,490,027,907,329,797,089,931,209,595,601,038,180,375,823,690,037,
189,200,759,288,756,345,358,876,585,042,462,776,391,738,538,281,970,987,518,
948,626,348,320,844,159,749,180,945,331,009,892,035,549,464,666,565,824,700,
391,065,870,469,130,147,973,520,927,092,743,055,963,258,155,658,143,767,187,
150,374,494,817,637,812,694,151,916,492,512,697,597,726,613,504,562,102,571,
443,392,603,673,865,898,909,502,250,403,721,161,740,159,322,856,961,676,877,
263,264,279,538,796,598,418,673,075,118,102,719,494,687,697,189,511,762,562,
647,042,584,784,906,477,680,192,018,165,633,146,318,594,796,991,823,973,947,
409,087,106,892,362,316,619,614,213,822,965,523,937,002,966,967,259,888,026,
054,733,556,188,431,933,781,112,318,492,374,109,419,461,003,908,930,088,018,
618,058,610,440,878,771,752,869,700,521,948,156,490,164,304,762,871,913,039,
591,604,151,298,719,903,930,325,776,225,378,334,606,703,105,399,552,703,818,
197,145,218,944,082,780,184,505,208,212,972,378,073,433,237,252,834,101,405,
159,266,876,918,736,317,993,601,452,282,954,905,510,244,989,518,451,391,592,
730,696,155,923,456,709,597,564,672,721,995,679,780,391,364,185,158,124,983,
412,160,288,822,044,467,162,125,783,671,102,853,772,427,147,464,915,619,072,
714,733,943,385,204,513,449,690,578,438,293,337,001,445,649,253,369,625,827,
102,505,425,515,630,388,077,058,488,450,144,141,277,326,607,840,146,044,247,
358,361,130,924,270,191,432,088,841,339,722,835,380,789,854,343,324,239,435,
811,067,299,823,976,728,320,463,780,194,281,087,470,631,269,552,006,647,115,
663,868,644,663,995,855,716,218,827,163,551,482,217,105,836,707,533,203,692,
582,769,909,537,631,901,594,675,489,339,585,417,387,790,168,906,561,067,194,
241,000,280,881,707,434,380,844,777,223,464,797,089,597,403,652,476,661,893,
864,106,292,297,781,762,449,166,017,189,439,334,468,210,003,894,354,435,822,
214,091,451,039,309,773,139,272,783,877,143,441,170,070,034,451,900,481,257,
453,109,648,489,739,751,391,992,708,317,976,573,873,834,424,385,938,963,252,
621,466,533,751,695,015,844,169,858,511,321,421,739,285,071,828,898,191,991,
209,731,007,759,073,834,879,186,844,542,825,368,928,983,969,727,981,195,749,
544,358,897,533,164,877,433,582,278,201,940,992,101,707,972,314,047,221,841,
626,534,318,247,951,773,531,746,594,857,462,101,133,471,505,577,895,947,729,
686,584,640,662,025,924,547,855,474,493,311,920,734,354,075,047,024,604,981,
789,928,244,988,060,267,599,972,234,891,289,818,356,624,554,426,107,970,315,
011,886,169,863,386,400,426,919,504,096,834,431,374,191,678,112,424,976,405,
175,324,104,776,497,465,825,064,903,234,668,693,189,106,518,214,579,189,947,
576,067,862,746,396,982,256,884,787,904,132,917,139,505,625,992,381,483,225,
523,102,559,403,126,617,843,837,413,832,265,632,983,903,249,381,820,816,449,
941,329,031,004,988,126,005,038,792,221,007,032,289,434,061,342,196,491,473,
117,807,711,993,527,644,359,882,609,748,077,489,687,984,040,238,567,542,186,
251,395,034,579,665,978,371,437,049,888,895,065,770,881,015,533,993,727,261,
489,577,670,688,514,044,977,601,313,139,416,625,177,470,270,673,706,311,113,
701,032,067,445,442,400,400,753,134,990,225,408,547,386,294,634,791,474,852,
668,734,285,362,641,506,043,587,044,792,920,531,109,802,679,259,906,573,688,
451,762,190,686,936,070,517,772,658,398,532,282,323,518,742,539,871,725,602,
316,995,438,387,477,657,247,639,690,093,831,368,012,354,689,108,288,916,599,
873,599,250,068,309,971,306,317,916,759,056,425,704,197,796,964,194,722,022,
083,277,980,371,564,638,441,702,595,403,596,334,477,786,304,528,115,192,205,
512,204,686,190,515,752,486,955,820,486,999,801,869,796,512,335,314,451,698,
865,664,139,529,757,452,157,850,750,572,802,781,473,793,948,602,728,330,858,
272,323,955,788,821,892,093,909,166,471,609,791,706,561,866,742,447,629,047,
554,264,024,745,029,532,241,899,773,031,983,616,753,409,096,202,437,568,542,
004,910,004,013,216,890,840,526,034,509,404,382,992,598,445,219,854,079,704,
572,032,828,375,933,477,869,258,168,378,099,303,204,488,047,042,248,807,165,
192,276,854,525,080,190,946,386,638,585,707,100,529,398,947,597,846,901,444,
991,336,130,728,471,396,715,985,003,797,637,267,213,150,165,740,193,519,745,
720,793,894,116,814,769,014,237,397,637,506,719,712,177,071,839,674,645,216,
661,650,107,325,530,653,968,662,927,318,872,592,691,129,799,486,852,226,632,
733,929,305,351,597,808,105,019,787,010,770,470,597,172,765,231,292,438,405,
366,506,635,891,425,458,118,872,961,912,316,882,496,753,145,385,876,589,869,
178,714,371,168,848,371,206,912,626,417,276,815,838,890,568,764,584,232,387,
004,190,635,408,466,939,594,119,666,531,991,094,907,371,423,256,577,557,241,
034,827,959,668,991,383,849,090,438,508,915,220,514,104,749,828,090,379,350,
086,121,252,519,811,607,970,228,657,750,056,149,703,353,268,355,111,170,361,
779,298,730,860,742,953,287,665,241,705,615,780,946,911,217,178,648,579,722,
950,235,114,694,097,009,706,627,013,495,150,786,930,653,024,373,715,296,249,
221,201,912,523,652,002,483,089,186,357,902,354,205,290,694,900,826,960,190,
161,145,791,495,537,259,028,211,458,955,858,743,106,727,495,265,121,497,123,
293,547,009,143,364,967,875,271,086,149,899,064,427,783,248,699,729,491,833,
563,863,682,504,211,072,650,449,615,362,448,111,326,263,177,423,781,424,774,
473,209,563,454,790,110,230,773,035,526,581,623,535,167,463,199,769,090,833,
900,556,446,459,501,490,454,146,185,097,970,185,387,999,043,313,361,136,208,
566,982,080,370,256,425,015,006,959,666,163,223,103,898,158,968,525,844,283,
001,073,515,273,830,311,975,448,275,159,993,410,352,309,664,383,512,329,010,
914,828,813,621,390,090,347,085,076,953,681,855,123,076,262,786,613,180,845,
568,367,970,751,581,529,056,268,536,258,625,442,985,701,574,872,800,989,102,
441,474,773,620,461,916,446,802,665,183,103,000,271,159,954,216,859,832,409,
829,664,202,277,890,561,601,335,004,103,344,816,471,737,730,787,058,863,141,
081,731,991,257,648,077,749,105,571,124,008,730,290,633,568,545,141,764,166,
454,316,145,169,255,798,096,140,157,627,191,319,658,407,627,975,215,208,840,
629,804,570,127,724,971,383,403,701,504,306,866,747,311,700,841,064,393,354,
535,849,576,491,951,889,588,119,593,473,348,666,030,444,169,677,984,674,638,
104,970,993,226,614,884,912,183,174,983,515,875,465,927,790,058,241,217,369,
093,126,556,367,475,421,465,004,937,139,238,625,026,969,791,484,863,366,934,
816,474,002,016,707,488,435,616,488,497,841,879,225,730,058,259,293,397,503,
880,793,459,523,481,842,709,558,309,501,750,605,514,739,049,289,438,899,607,
192,547,701,653,898,108,290,576,949,053,552,296,605,075,569,467,185,921,497,
262,788,241,827,439,482,716,395,946,495,166,369,485,074,061,355,823,481,528,
027,592,179,788,389,755,775,662,109,286,611,915,705,714,767,271,153,488,030,
626,232,217,443,375,826,529,798,851,302,940,530,198,591,256,664,121,044,002,
805,324,999,137,996,331,006,281,639,206,603,401,251,134,218,313,111,417,021,
863,793,495,014,778,741,725,714,379,413,617,020,768,711,799,936,114,388,846,
571,915,633,348,290,677,294,956,562,829,076,767,317,754,837,058,658,003,482,
150,132,092,874,852,393,893,526,072,640,993,868,076,144,258,779,676,358,464,
243,114,379,094,093,845,058,830,359,732,434,198,534,650,705,568,970,546,975,
705,237,916,544,191,709,809,160,136,733,575,052,434,333,012,435,850,503,489,
969,318,260,281,349,446,030,223,191,229,029,523,922,558,345,636,739,232,323,
190,978,506,775,365,149,319,903,647,260,600,834,341,557,608,030,596,413,828,
043,683,242,814,891,905,557,922,288,317,224,765,726,928,936,244,486,207,705,
282,971,666,621,865,733,135,642,738,721,128,652,540,798,665,611,715,128,866,
179,534,986,411,270,364,180,127,234,777,027,445,607,373,177,316,393,845,861,
308,667,560,261,845,700,925,610,160,976,868,130,109,323,871,376,821,205,504,
241,109,646,910,359,312,802,359,521,259,299,668,970,304,989,590,402,877,270,
981,562,340,004,988,063,450,981,653,944,098,535,426,490,203,539,779,396,011,
170,670,892,081,605,548,176,345,277,828,447,083,098,769,683,721,960,163,728,
824,456,411,227,607,051,028,923,249,090,000,082,578,864,019,598,283,116,934,
476,206,751,372,694,782,245,374,979,086,105,785,437,467,358,421,081,282,716,
883,880,091,554,025,745,565,716,398,666,929,825,761,169,287,306,544,488,416,
768,057,270,413,439,785,933,431,211,312,353,814,690,466,033,646,032,046,833,
068,705,915,387,790,770,965,056,775,159,102,078,764,594,524,732,434,028,017,
280,072,220,244,231,847,976,334,695,735,685,997,679,120,966,165,671,484,915,
198,231,960,893,933,289,687,504,952,556,257,940,705,578,018,920,239,203,656,
229,458,495,512,290,230,492,686,885,500,000,167,318,322,192,619,845,407,079,
672,525,214,894,610,989,364,359,727,191,315,609,721,494,381,863,646,700,039,
755,829,425,718,553,852,586,195,395,293,849,332,119,611,976,739,345,686,182,
917,999,533,760,221,360,330,408,393,377,548,790,965,310,302,555,616,864,513,
461,600,731,182,593,645,016,645,223,303,444,665,608,531,385,388,574,725,018,
776,754,331,163,030,234,352,881,978,184,173,186,888,849,815,060,773,092,645,
476,399,118,690,187,519,315,680,182,403,389,091,183,743,335,044,063,312,090,
479,557,123,444,880,411,352,305,577,280,251,312,706,486,349,489,892,422,597,
698,408,697,811,078,945,554,014,343,986,799,316,571,135,989,513,032,343,198,
999,853,658,827,120,799,956,646,418,066,102,954,864,060,679,909,811,537,289,
639,968,081,691,013,305,911,023,499,798,404,693,333,908,489,282,878,644,750,
881,879,401,758,592,348,339,623,077,688,935,564,370,419,921,580,676,323,986,
047,517,043,793,466,414,597,831,232,963,988,164,846,030,372,919,438,509,302,
681,860,280,050,684,116,879,958,951,310,960,608,531,488,571,734,230,558,223,
067,620,151,361,701,035,941,800,151,993,216,962,581,124,570,132,609,666,424,
496,644,980,714,133,668,978,544,523,073,697,028,273,946,577,488,917,041,207,
306,650,387,242,598,018,222,183,886,007,508,482,949,803,071,178,384,413,901,
697,772,223,936,488,975,130,119,738,314,909,995,308,614,696,237,616,649,776,
118,347,217,679,052,429,367,235,184,486,096,309,967,918,214,540,687,250,154,
432,672,203,506,714,799,929,341,094,805,188,164,491,521,618,816,661,217,691,
389,927,527,797,559,892,409,286,121,211,280,024,188,786,032,004,609,454,524,
554,236,667,376,603,448,260,712,846,256,989,121,853,674,341,695,283,288,761,
476,668,175,293,221,948,138,370,082,228,634,516,008,271,240,592,158,899,994,
398,039,817,698,826,892,412,162,402,521,749,456,472,784,095,722,186,653,071,
873,329,074,559,857,509,308,479,458,229,431,133,153,986,710,605,752,730,642,
675,506,491,095,168,876,568,890,336,465,895,293,176,635,742,240,939,768,475,
842,886,783,407,217,618,885,362,995,687,264,588,255,106,760,933,720,520,852,
969,814,920,027,502,428,202,860,748,824,673,185,218,162,421,835,822,341,399,
612,610,367,409,918,056,988,962,079,268,991,236,400,496,882,562,774,086,750,
606,053,841,340,314,878,297,067,423,263,096,545,866,400,436,242,807,708,252,
952,322,396,417,743,437,998,510,181,744,627,581,967,198,503,822,727,189,776,
874,357,721,459,139,056,380,555,111,308,068,259,707,488,088,577,841,136,568,
342,571,504,191,564,170,668,386,684,590,954,334,008,734,750,869,342,713,388,
479,335,189,965,651,836,422,545,016,684,500,222,300,044,998,130,764,170,325,
155,644,946,337,689,037,660,329,013,257,779,156,694,592,128,495,734,660,335,
411,424,076,810,029,643,759,023,761,321,691,724,152,085,522,534,239,713,853,
458,162,981,818,230,674,944,544,553,522,190,265,134,248,590,623,181,039,689,
912,448,377,530,440,551,662,097,620,324,780,019,487,580,863,360,538,967,063,
256,584,479,934,761,390,293,612,510,442,919,815,884,727,663,279,129,062,014,
348,747,155,147,604,471,714,026,666,016,693,882,965,247,302,747,322,291,728,
677,815,318,153,117,834,607,789,209,780,175,843,956,570,127,599,046,481,124,
521,251,262,444,667,715,594,248,776,258,788,499,272,973,306,942,078,982,518,
544,390,440,762,633,355,439,682,397,470,023,611,155,632,625,870,445,245,708,
239,710,688,859,474,320,237,199,173,451,227,950,670,770,197,662,800,458,167,
199,936,062,070,307,677,063,266,531,352,146,615,563,595,277,787,747,963,326,
891,666,349,837,314,954,345,339,412,163,632,446,357,448,090,862,593,770,520,
696,767,570,832,629,792,189,264,615,805,328,015,830,650,168,059,694,567,813,
920,046,647,113,369,509,702,319,268,748,251,724,255,702,086,348,719,827,898,
908,287,108,224,425,986,869,198,403,809,984,907,615,661,048,685,520,865,813,
955,691,165,715,274,846,587,596,619,214,620,542,610,706,151,148,204,680,591,
034,675,637,515,956,384,449,271,920,610,559,826,362,803,317,162,633,811,124,
963,886,853,535,037,627,690,419,112,606,364,685,236,928,185,231,510,068,411,
106,253,235,365,167,336,576,851,125,928,692,677,799,642,255,944,547,972,620,
883,755,344,978,045,008,059,068,837,181,754,001,780,340,300,164,925,340,179,
672,093,062,372,501,708,415,087,447,064,011,420,906,227,680,986,531,190,782,
476,353,733,831,713,847,058,877,407,479,268,669,621,789,844,580,196,580,615,
691,247,926,368,412,754,417,639,765,166,982,384,089,783,692,803,718,071,509,
661,185,886,233,513,834,508,701,101,714,417,848,299,839,730,222,000,896,029,
520,151,975,465,744,206,734,260,625,700,870,064,675,507,694,814,357,958,401,
936,586,696,471,127,066,516,199,768,276,150,865,085,268,985,075,440,079,419,
478,764,705,271,176,044,659,178,851,340,082,554,107,378,389,309,490,110,407,
128,754,908,448,913,839,048,705,638,674,970,485,423,916,283,361,909,470,516,
949,121,046,938,382,862,809,724,587,149,147,127,197,760,056,086,540,183,395,
867,307,752,509,618,686,015,757,048,397,091,016,259,697,922,456,982,064,533,
447,472,234,991,045,159,573,164,208,842,716,176,817,479,671,000,610,265,503,
141,214,104,606,461,863,698,666,369,725,977,253,343,818,619,711,754,392,574,
400,482,001,932,096,679,932,267,863,792,790,724,874,527,940,999,855,264,900,
689,387,431,295,546,488,070,607,695,765,799,110,329,991,734,971,984,956,730,
990,806,800,922,719,590,632,818,489,215,366,048,592,624,941,770,508,866,686,
633,106,500,287,384,698,590,379,367,063,032,969,895,128,167,537,028,959,674,
523,652,356,834,328,138,359,551,132,389,001,684,630,674,506,599,889,339,931,
766,356,195,578,682,377,560,231,299,230,881,555,963,550,074,594,184,953,673,
011,872,736,609,840,557,457,064,718,313,238,403,524,148,145,208,962,618,532,
563,222,442,117,285,378,287,280,240,704,709,394,429,843,871,206,411,557,433,
463,580,679,150,495,557,570,475,738,066,916,928,834,997,780,146,282,500,209,
299,142,361,176,085,707,504,337,312,933,424,397,176,375,803,064,108,086,633,
758,271,717,293,639,747,592,458,351,295,957,958,151,499,950,317,017,455,540,
544,338,803,583,556,038,369,406,241,110,540,256,266,931,218,717,627,366,792,
965,168,431,995,947,957,181,547,466,319,084,948,999,485,716,612,928,430,753,
287,883,714,626,638,458,880,498,327,706,616,356,341,752,946,040,104,779,436,
556,040,175,116,152,032,982,361,858,361,566,182,792,762,891,538,935,210,683,
837,956,609,491,042,385,299,877,564,580,376,861,771,685,957,716,418,826,249,
595,032,085,971,424,988,745,461,936,753,220,175,779,780,859,939,725,283,317,
168,368,976,397,160,491,340,159,377,300,691,714,728,013,124,558,822,286,083,
414,051,886,034,983,303,437,077,480,278,827,382,762,965,132,095,458,833,893,
185,647,324,969,102,964,872,847,484,017,291,646,191,379,833,691,453,280,579,
301,860,345,104,625,090,024,185,307,416,294,836,221,251,329,884,211,029,774,
677,925,131,525,503,121,335,333,192,163,214,620,935,306,532,343,562,423,090,
280,247,516,421,620,294,598,974,831,654,282,098,545,904,064,880,491,922,359,
856,151,119,512,498,055,120,740,287,371,866,994,438,055,330,373,785,785,796,
924,949,814,369,138,192,849,366,836,316,888,588,994,580,877,963,768,046,553,
609,908,461,571,569,357,289,538,815,950,032,500,734,596,941,437,221,072,873,
647,672,753,903,473,492,578,971,997,043,370,128,938,422,138,590,780,590,906,
880,284,667,984,180,691,689,381,868,577,396,376,543,262,799,310,140,673,278,
785,454,678,756,025,518,556,130,661,824,530,785,042,843,536,876,275,529,262,
611,693,797,346,198,731,698,883,106,794,828,052,307,199,000,701,785,472,374,
501,478,110,487,420,709,649,019,454,598,651,431,163,538,856,653,401,148,204,
146,639,846,249,703,005,559,641,268,696,071,919,260,088,041,547,297,418,643,
743,590,463,762,432,930,071,961,376,328,856,401,669,635,120,342,262,512,959,
044,752,216,769,421,116,820,879,643,729,525,380,656,004,736,826,598,988,727,
205,298,620,961,289,595,772,553,661,434,183,408,311,808,051,066,375,497,904,
882,872,839,355,174,914,262,762,007,197,065,708,159,647,881,238,263,803,442,
347,386,138,394,556,495,542,337,684,001,116,671,788,277,539,860,496,237,636,
998,834,235,389,199,771,374,093,685,461,737,238,968,331,649,374,267,658,176,
501,386,505,453,233,052,578,670,284,117,470,312,244,347,040,286,924,483,348,
537,049,443,905,213,697,416,895,155,153,702,916,637,749,515,369,587,063,269,
145,764,937,361,204,867,277,598,739,073,557,426,232,389,666,450,335,581,723,
381,275,829,343,719,395,311,955,188,909,293,336,207,064,069,160,092,376,942,
427,345,013,875,827,608,189,087,283,673,260,367,290,498,695,176,488,487,314,
399,181,436,322,001,704,634,015,729,171,527,248,790,110,773,427,477,269,481,
784,331,089,850,800,116,134,116,794,428,343,183,800,719,054,778,153,035,647,
863,782,308,253,268,236,339,788,419,032,382,178,227,012,789,030,558,820,343,
244,399,400,917,828,801,194,095,714,975,508,374,129,955,726,775,458,775,747,
143,421,215,733,942,525,269,116,019,564,804,605,463,284,617,969,190,611,557,
095,149,662,324,757,438,107,241,856,240,388,208,073,975,908,965,563,236,204,
958,671,096,834,716,929,661,834,438,835,156,250,290,712,599,794,530,062,376,
769,319,292,661,493,598,550,218,730,127,601,298,837,986,192,515,806,261,302,
513,154,153,656,258,378,514,006,187,141,827,809,694,669,123,673,869,934,600,
860,563,986,339,391,319,503,395,250,527,329,852,301,633,515,099,427,002,258,
325,531,060,088,000,221,279,534,804,013,871,759,931,645,826,332,969,449,886,
279,557,139,363,656,211,409,642,256,339,473,539,686,099,343,189,809,885,217,
005,404,129,807,976,103,630,378,471,347,467,588,673,894,538,059,373,911,691,
722,468,842,018,514,795,036,174,240,561,711,918,661,203,677,144,074,530,782,
496,880,627,940,650,266,165,997,998,316,259,672,241,616,027,823,589,646,427,
478,393,873,767,497,093,164,055,508,665,958,505,526,492,770,107,669,220,839,
216,741,644,587,566,015,676,197,691,247,585,994,369,772,348,864,723,613,050,
281,838,737,053,614,145,747,611,607,754,239,228,642,561,086,939,452,741,390,
116,864,836,737,557,635,997,343,821,299,280,137,816,272,426,092,949,193,340,
077,548,701,325,810,384,909,592,579,434,475,463,585,131,580,069,487,609,358,
982,274,497,702,093,939,578,322,089,489,998,705,867,338,600,136,015,494,891,
998,859,179,227,729,487,820,268,955,347,853,683,979,177,463,748,455,406,551,
614,853,647,940,296,809,143,400,474,606,460,085,767,170,873,201,644,544,743,
595,702,761,015,055,368,894,369,886,645,985,285,382,114,641,790,905,977,979,
049,799,884,326,552,493,920,778,752,891,749,223,825,142,453,134,196,089,619,
293,223,432,489,283,789,948,121,489,964,166,408,077,974,398,201,751,522,945,
206,883,310,596,089,050,905,198,042,225,348,542,835,994,388,638,830,337,969,
055,683,192,192,771,295,669,303,608,737,186,364,556,429,380,449,452,898,158,
064,018,752,192,321,342,225,973,754,936,452,291,829,297,957,023,862,312,869,
377,454,751,094,583,509,488,993,204,391,550,397,445,826,973,898,580,145,046,
060,723,272,217,736,767,912,390,783,753,929,517,200,143,642,552,832,769,482,
053,492,249,896,489,905,880,961,741,375,526,260,378,261,719,745,001,707,713,
785,475,743,306,453,592,569,642,804,403,653,033,231,424,509,853,256,927,015,
194,250,939,379,843,380,135,490,944,641,900,166,996,586,823,899,778,358,016,
681,467,743,052,198,853,347,496,519,259,706,350,569,898,845,150,418,433,789,
017,496,009,005,457,831,819,478,039,011,501,178,537,746,818,611,423,802,044,
019,802,934,414,349,460,168,064,882,686,006,492,763,844,022,515,257,689,595,
935,748,015,419,894,404,179,019,717,604,316,965,679,581,260,410,450,387,862,
734,588,023,001,604,641,349,855,207,924,270,002,668,078,663,154,008,695,034,
676,832,461,265,231,655,744,530,423,556,960,432,365,847,922,939,487,834,240,
920,082,289,144,080,609,523,041,556,854,055,292,825,560,327,237,500,649,239,
254,240,712,025,688,312,533,203,632,878,113,948,685,754,838,544,672,933,271,
045,293,557,807,636,976,078,977,080,502,033,970,137,802,734,670,387,439,949,
346,499,295,220,314,994,672,552,733,405,091,262,170,498,252,354,011,556,334,
925,595,155,164,082,942,569,265,849,199,856,502,654,563,680,133,240,074,947,
259,059,676,701,745,063,053,306,648,796,990,450,237,798,720,420,415,553,358,
086,647,552,165,316,119,009,747,076,745,988,683,936,274,691,633,533,933,053,
347,328,109,610,314,448,220,900,584,748,572,323,472,702,469,427,574,421,982,
133,641,184,779,518,211,532,273,033,864,865,204,466,163,829,795,756,546,299,
475,710,615,358,629,828,944,714,455,870,981,000,473,717,213,330,766,750,747,
959,723,829,933,472,077,507,864,642,092,793,244,282,129,998,168,380,318,568,
500,731,852,576,855,662,468,644,265,287,749,551,547,306,760,110,514,506,796,
490,378,579,661,605,413,462,884,368,750,028,053,776,195,374,206,396,867,917,
346,309,778,638,527,458,293,131,349,572,852,293,533,973,017,148,237,992,326,
614,990,180,729,147,589,274,225,164,488,226,052,111,358,561,967,108,453,213,
206,849,490,563,878,980,576,028,617,926,215,834,543,420,126,539,323,518,875,
920,289,018,969,606,061,873,313,103,118,885,446,901,483,127,548,111,270,811,
327,065,849,489,643,412,808,762,157,131,679,472,690,668,798,725,775,843,847,
099,617,947,714,362,573,818,488,409,417,230,922,527,566,529,054,596,766,479,
269,838,732,809,468,914,523,774,409,567,097,902,869,234,806,602,167,685,840,
310,990,458,174,788,030,754,944,371,089,994,227,458,093,254,514,697,218,197,
309,000,882,166,770,893,788,840,425,095,120,528,259,649,337,537,492,632,340,
232,881,829,951,825,017,647,673,925,379,415,947,363,076,983,472,917,475,934,
256,562,782,466,917,200,990,002,763,531,223,051,959,524,935,515,581,556,701,
097,570,592,679,911,124,383,674,286,275,891,654,057,796,493,131,500,406,964,
420,067,004,361,006,932,722,214,610,053,821,794,599,225,798,447,216,607,742,
918,283,815,432,973,724,434,851,293,476,240,804,753,611,422,083,306,680,306,
397,458,874,688,040,468,811,277,689,475,811,698,656,511,782,157,067,368,843,
027,929,358,593,357,866,376,154,350,344,398,169,802,652,804,562,435,518,376,
048,990,911,289,056,425,734,437,049,812,117,525,624,603,780,114,340,099,250,
381,047,151,285,492,027,801,292,848,529,839,075,578,118,458,675,918,907,034,
001,671,821,680,737,672,508,212,653,721,615,334,153,767,642,673,570,863,837,
924,450,835,782,920,857,415,324,429,646,309,778,604,220,150,157,475,413,943,
367,642,215,699,840,593,860,564,072,153,567,893,384,764,080,804,007,678,321,
196,251,800,451,752,666,652,070,860,921,358,331,842,230,391,243,617,207,901,
545,683,449,884,043,578,598,246,971,934,936,748,851,808,097,792,640,199,722,
476,684,625,603,185,307,122,366,359,839,629,117,084,976,426,453,634,478,479,
766,938,931,449,756,179,496,242,590,730,967,939,390,615,197,451,156,155,850,
463,461,856,201,987,902,226,051,237,429,934,356,915,649,599,932,439,402,462,
165,772,069,400,620,194,186,791,387,426,879,446,741,182,789,751,568,791,383,
088,492,668,841,481,989,518,891,905,487,978,531,054,853,746,907,828,119,346,
259,556,325,779,783,727,756,747,935,877,245,886,078,145,095,975,931,063,778,
350,336,425,335,899,393,445,293,911,614,239,694,967,838,796,951,406,726,844,
932,699,073,464,941,143,726,296,258,828,503,386,351,290,887,577,097,193,767,
798,266,991,765,910,118,046,347,275,227,725,807,871,710,985,352,919,224,587,
357,321,251,244,185,455,505,539,251,946,264,923,974,516,478,797,671,957,640,
367,764,715,754,394,781,400,245,987,979,850,293,614,621,585,106,596,109,231,
801,347,686,840,153,491,723,847,592,381,982,556,566,676,373,622,174,980,500,
224,909,899,378,733,726,293,431,630,993,294,549,460,414,437,091,384,616,483,
661,925,443,710,444,291,262,149,756,754,221,119,640,295,525,642,934,454,257,
875,478,534,044,250,672,634,499,059,105,777,865,080,222,006,641,086,577,726,
072,955,924,805,273,731,807,501,107,724,968,443,939,562,498,810,499,321,827,
951,719,206,453,480,107,370,568,409,564,712,602,882,348,474,661,065,726,637,
372,354,807,952,475,815,455,387,985,860,724,321,635,678,667,938,385,389,830,
986,547,312,747,189,730,934,187,359,625,881,675,408,893,760,428,868,263,307,
272,031,616,992,891,516,830,824,659,788,892,896,816,683,371,249,565,945,078,
320,848,660,578,076,823,488,512,189,948,884,617,698,457,488,212,266,389,759,
037,572,837,436,430,301,044,971,280,835,330,063,778,257,617,577,741,376,147,
437,213,503,642,889,156,256,777,764,248,158,969,231,448,468,944,220,828,943,
067,753,408,442,724,742,214,693,319,294,748,780,893,088,166,644,605,266,179,
483,305,401,336,380,772,686,822,417,829,127,866,746,423,227,027,693,368,068,
686,702,620,540,518,123,557,347,526,316,642,692,535,484,755,710,757,110,040,
692,888,356,748,646,200,057,992,634,915,944,362,511,458,780,185,571,877,892,
090,995,060,354,461,449,054,616,693,876,298,991,050,545,233,723,742,116,980,
245,993,760,224,314,094,910,440,696,565,345,383,501,220,045,139,474,468,172,
117,770,926,288,400,526,755,663,647,824,370,674,424,242,894,582,428,213,532,
729,491,103,610,071,582,137,831,691,964,323,479,378,151,437,152,241,119,528,
207,843,736,914,505,724,328,630,406,279,777,687,511,413,165,785,757,317,033,
437,418,365,152,096,174,277,810,825,615,696,736,319,834,271,874,401,793,068,
692,191,222,913,666,131,177,339,283,844,731,025,164,060,396,470,561,411,334,
545,269,291,106,342,829,175,818,142,766,745,512,730,653,641,406,218,985,478,
070,271,993,949,582,546,124,544,178,110,376,106,259,144,815,035,937,253,575,
095,677,820,330,731,703,731,114,895,345,783,877,564,851,533,080,412,107,676,
730,322,160,873,689,975,545,931,500,646,681,273,183,923,035,062,986,327,617,
244,756,578,475,253,079,701,981,230,656,531,652,785,514,169,202,790,475,627,
746,523,960,839,606,635,723,415,357,179,144,758,825,766,482,443,933,768,380,
254,103,546,814,180,644,088,317,186,874,453,972,875,446,665,485,507,211,017,
855,410,889,198,364,121,275,037,199,824,070,910,410,807,639,943,669,914,383,
519,694,640,787,308,521,562,038,696,132,671,397,286,004,380,977,061,738,075,
382,049,126,912,596,619,867,559,050,722,463,272,992,902,182,595,816,568,575,
240,008,469,636,876,768,976,316,744,764,224,077,808,609,040,875,205,616,720,
482,177,766,213,630,315,646,869,008,909,253,817,360,879,436,597,974,202,822,
732,207,190,396,280,780,154,670,208,885,516,461,183,729,325,711,990,243,261,
105,955,955,676,939,403,724,739,919,971,332,431,872,218,034,979,600,833,823,
974,287,741,443,076,616,787,494,291,318,715,846,598,606,348,397,098,094,836,
847,777,115,643,307,322,897,333,343,338,224,079,343,240,448,852,394,150,797,
984,864,858,000,060,274,322,591,430,447,396,943,062,574,644,750,625,209,243,
342,842,396,210,042,937,618,687,626,242,029,538,210,919,365,625,488,957,959,
474,425,766,768,815,346,049,201,006,910,304,788,370,101,589,804,995,859,241,
818,876,641,653,035,251,740,847,287,244,231,719,876,208,711,897,178,995,617,
668,513,777,358,299,570,760,318,362,618,687,269,668,699,977,481,352,602,465,
671,350,046,081,818,332,233,004,551,210,001,916,708,162,092,252,835,575,347,
328,839,761,816,634,528,586,019,991,296,967,707,992,586,627,795,286,667,262,
379,030,487,834,066,937,335,057,514,346,792,695,421,629,111,437,923,764,722,
184,911,805,115,640,818,996,048,781,263,424,250,945,058,729,573,053,017,399,
224,241,891,639,367,437,784,320,896,158,503,169,409,284,959,171,829,476,181,
436,988,447,196,591,711,900,699,133,315,726,929,493,541,344,184,156,927,808,
534,325,919,453,881,579,957,473,007,423,585,003,505,373,169,665,720,092,551,
780,328,161,684,864,674,756,407,889,511,356,414,508,744,115,159,657,186,593,
194,547,938,196,750,445,561,856,408,031,697,910,872,106,628,541,074,408,765,
720,100,067,783,145,939,881,796,627,401,086,254,361,484,245,014,153,754,052,
515,993,834,877,895,728,014,185,818,033,811,201,134,006,053,179,018,860,811,
503,690,153,599,883,957,766,008,684,583,585,520,672,382,822,468,537,021,123,
266,385,679,293,939,388,195,077,795,504,663,635,296,583,409,764,224,142,055,
825,469,424,574,860,974,421,562,451,507,490,084,299,633,903,514,650,412,070,
109,049,359,852,535,874,269,854,846,976,061,137,684,883,436,613,646,341,759,
621,650,740,054,244,840,590,384,635,744,303,770,052,796,685,891,551,176,645,
085,597,628,796,291,381,556,898,090,534,892,292,370,703,732,896,764,195,710,
859,375,703,141,029,027,795,172,615,739,629,342,924,955,351,478,853,747,367,
689,841,877,656,412,640,145,291,431,756,545,097,529,393,687,067,287,945,734,
926,844,292,655,417,997,768,832,289,932,013,053,124,624,864,442,296,650,180,
164,208,339,501,165,849,142,795,268,323,402,044,556,192,384,893,518,893,928,
572,153,619,952,107,056,188,202,208,552,796,449,475,243,160,619,628,078,789,
447,807,423,760,623,538,769,786,626,253,273,560,403,393,449,244,535,465,214,
763,774,849,263,743,587,089,846,860,232,415,278,102,111,581,794,832,639,945,
139,103,093,932,500,752,039,866,647,933,624,329,459,957,749,953,330,879,458,
216,691,252,289,453,665,638,022,002,189,797,607,452,562,309,527,489,219,740,
836,185,010,034,172,921,602,834,682,584,987,010,865,487,480,362,597,744,783,
772,936,623,460,662,581,745,879,919,950,950,289,065,942,798,059,320,201,164,
886,230,650,021,960,305,933,709,915,100,089,408,530,692,697,099,109,529,459,
815,069,573,773,782,892,625,831,723,702,593,687,422,956,667,940,896,702,884,
101,444,649,776,292,826,797,903,747,615,217,698,662,708,230,163,706,471,519,
223,472,884,175,878,437,610,604,912,158,927,147,205,396,059,009,578,792,684,
797,727,177,756,052,128,228,207,192,167,944,507,017,217,526,281,910,245,403,
503,399,424,966,353,700,467,904,692,006,460,705,160,838,735,390,930,454,108,
915,740,048,386,801,783,176,709,899,171,827,365,183,586,444,702,533,940,549,
456,062,690,496,030,056,602,399,698,041,870,249,014,647,388,864,298,160,284,
847,391,475,533,765,581,612,120,836,091,885,434,664,710,301,747,747,620,258,
966,694,086,027,687,571,770,602,897,390,066,081,710,199,869,659,771,372,170,
143,670,917,028,825,870,017,950,539,625,295,976,635,761,534,320,011,711,531,
602,082,403,078,599,672,108,202,852,507,552,371,256,023,030,919,656,519,659,
480,446,119,873,838,957,112,429,218,657,203,170,903,306,078,787,988,684,488,
800,789,775,547,495,684,188,979,979,357,400,570,257,324,501,284,766,489,338,
774,419,418,408,855,500,891,262,187,264,205,465,779,586,990,406,906,496,732,
979,648,515,643,341,966,357,794,496,026,188,021,707,600,797,939,230,932,596,
674,717,571,219,303,213,146,103,387,954,619,112,875,098,220,220,290,785,040,
442,195,492,970,362,883,947,440,906,095,680,032,072,739,533,781,036,387,026,
439,033,508,002,935,354,846,942,699,517,957,130,598,432,591,896,757,430,820,
071,901,435,600,974,003,063,275,472,215,088,605,873,365,113,804,231,437,440,
445,403,006,355,819,021,402,171,657,226,713,739,514,487,026,897,016,558,292,
496,900,245,815,561,078,331,072,717,194,735,784,669,855,524,606,920,033,082,
014,104,490,762,192,834,228,743,255,477,955,223,402,235,539,728,370,521,872,
328,473,195,774,027,697,297,094,701,599,080,491,978,063,670,570,604,591,216,
194,112,151,213,055,347,370,396,631,545,241,299,721,136,234,818,946,474,908,
426,843,129,957,865,026,428,909,221,443,912,368,944,491,103,093,793,262,688,
714,853,701,139,518,066,115,183,928,094,303,465,379,804,085,759,383,825,394,
074,891,018,895,809,017,347,823,662,300,218,140,889,124,047,633,111,419,622,
958,797,828,814,965,484,604,911,642,438,413,767,229,024,830,712,636,117,409,
194,438,803,770,294,623,414,209,632,538,539,114,190,641,224,422,168,384,797,
383,654,569,708,687,476,599,374,500,522,297,519,110,936,214,777,270,432,981,
128,455,506,957,681,255,801,716,229,131,480,131,157,977,718,037,041,646,792,
729,561,545,805,239,563,017,282,361,413,057,259,450,101,020,058,925,489,103,
687,620,332,253,847,210,665,966,429,556,961,540,770,316,991,528,021,761,232,
025,190,319,759,305,710,016,394,464,962,606,430,262,020,943,336,992,104,415,
721,931,143,101,721,113,417,051,244,634,407,034,487,567,388,393,727,169,269,
160,278,016,248,034,293,763,846,576,552,900,177,393,008,551,676,351,621,204,
453,113,119,021,876,349,888,179,574,960,112,442,238,947,200,884,313,482,764,
889,154,998,861,499,844,009,126,618,140,031,101,229,851,518,621,726,413,813,
078,775,613,228,774,279,891,500,763,113,426,387,318,862,176,071,250,602,177,
640,807,181,822,582,018,717,547,344,069,829,443,460,392,856,716,458,672,036,
666,909,162,550,784,046,782,082,559,746,940,575,763,738,643,534,348,494,870,
852,407,680,362,033,781,623,740,406,751,621,554,720,624,137,151,741,882,073,
800,644,393,635,363,257,168,178,171,828,755,441,329,790,185,081,162,583,590,
736,987,066,555,172,673,543,989,829,607,878,662,577,539,210,233,499,847,053,
873,457,213,190,689,982,542,741,091,392,793,947,520,855,426,455,012,907,789,
906,285,479,377,275,031,403,526,471,759,135,344,032,690,598,157,471,720,979,
259,511,225,512,663,017,969,662,508,195,016,433,393,245,912,444,368,358,670,
746,146,274,770,507,596,765,065,027,924,963,135,808,012,363,256,699,060,733,
864,373,324,043,869,716,939,659,964,263,025,668,750,272,889,359,936,474,663,
457,339,914,774,346,984,416,934,291,919,487,047,979,333,973,111,279,469,841,
924,032,041,587,927,578,131,302,075,137,703,745,370,526,262,628,178,681,562,
205,201,419,526,517,829,688,432,955,393,073,777,038,115,067,037,020,196,660,
826,128,636,361,302,833,352,664,403,785,830,863,021,431,042,962,176,777,648,
574,914,787,467,652,211,769,842,527,429,501,143,359,437,351,655,486,806,991,
029,483,256,219,939,205,369,137,949,645,518,240,445,534,115,040,134,400,147,
830,435,152,484,781,565,872,400,012,738,597,233,813,762,692,005,767,821,219,
987,243,296,543,619,105,794,915,034,224,907,786,094,206,163,211,254,624,598,
419,337,374,125,688,955,002,826,536,358,311,656,506,808,559,039,875,065,435,
265,226,615,092,089,873,309,233,183,495,872,564,966,491,566,539,038,741,134,
457,627,949,498,975,632,361,950,479,020,929,406,541,906,057,592,124,895,460,
791,558,509,830,217,583,671,694,505,332,026,994,612,177,227,869,398,267,905,
360,993,846,462,921,616,494,618,507,901,954,709,589,159,783,766,102,114,590,
134,614,810,910,325,130,767,172,257,505,325,610,189,845,100,216,584,612,015,
589,571,472,409,695,432,524,458,736,281,400,603,153,762,147,420,820,613,154,
753,051,345,882,849,016,577,082,917,355,549,107,263,653,660,813,008,718,004,
500,809,392,707,507,573,243,554,321,187,964,380,140,453,909,024,223,659,542,
235,389,867,843,541,818,783,515,266,295,224,682,048,924,386,917,555,131,529,
252,798,645,886,130,661,554,507,608,462,525,776,275,988,557,779,686,541,191,
853,506,407,199,712,060,210,264,434,337,952,097,574,438,710,702,322,340,196,
081,259,116,942,487,329,875,988,110,875,324,249,496,705,124,931,684,835,709,
354,530,280,264,870,253,237,216,064,334,294,790,738,579,100,371,001,012,246,
651,620,827,711,547,504,808,049,116,976,234,495,840,706,632,002,884,945,830,
589,980,406,781,688,423,297,052,293,737,603,178,132,108,082,053,685,618,609,
901,508,984,340,897,525,356,716,960,618,302,315,104,100,647,810,178,668,411,
463,522,030,570,590,529,004,730,668,620,716,317,922,379,833,937,567,588,847,
599,251,988,780,948,091,984,326,764,310,363,213,376,309,514,333,406,164,775,
865,752,447,649,160,737,617,194,352,183,837,655,006,936,721,472,042,133,048,
033,838,475,605,926,604,406,725,273,686,498,083,022,560,293,586,933,561,352,
918,689,138,028,873,678,391,766,911,795,525,392,423,673,739,250,629,768,091,
013,170,781,296,669,799,289,217,246,991,078,732,848,658,885,192,354,069,947,
936,350,884,589,900,938,182,964,819,738,720,565,443,904,504,368,620,149,454,
909,994,474,770,734,390,931,126,745,112,824,611,059,524,823,604,310,816,116,
744,208,862,611,690,635,156,047,532,293,238,301,868,213,952,642,310,501,378,
168,529,577,158,522,049,878,185,214,285,209,601,679,393,768,183,689,999,516,
489,685,480,677,904,050,247,341,488,813,712,288,038,600,271,438,293,324,071,
917,983,886,199,038,837,653,637,522,269,448,908,424,696,860,548,930,568,008,
412,064,637,256,664,433,979,888,204,206,431,342,878,691,013,773,057,609,263,
306,649,210,013,832,315,917,317,193,896,887,683,529,085,512,670,934,744,147,
158,904,179,198,675,202,871,489,436,237,185,952,932,988,706,528,338,279,651,
067,005,257,398,596,372,859,810,280,112,893,789,096,789,360,747,941,761,129,
692,001,930,753,105,455,241,721,636,263,399,907,003,224,964,339,240,318,210,
762,412,815,048,443,822,425,404,934,052,780,326,495,765,883,932,570,868,819,
212,317,406,878,721,097,949,552,184,210,950,761,751,079,800,474,781,610,592,
506,325,120,479,649,846,124,242,143,444,838,901,072,076,635,039,102,301,003,
413,485,542,777,878,832,541,567,826,264,922,961,026,808,134,875,495,455,299,
659,676,243,849,192,541,320,751,526,440,001,876,364,501,335,606,193,433,979,
019,440,996,759,273,019,402,722,063,023,679,086,401,745,715,858,584,530,762,
000,001,107,673,824,398,488,331,885,286,385,866,007,059,952,923,107,696,971,
175,440,181,228,991,879,978,716,883,311,097,261,702,390,245,543,914,671,328,
270,911,796,030,729,843,880,062,882,610,254,660,317,506,510,374,385,326,391,
540,289,872,827,884,795,195,837,472,804,042,227,320,885,000,324,296,837,725,
572,004,466,995,531,853,492,059,328,927,868,323,994,839,016,564,668,074,054,
884,480,049,177,799,400,250,691,654,791,859,534,632,799,918,267,591,491,268,
157,990,312,355,509,678,842,160,452,293,627,954,641,189,183,854,410,871,768,
462,596,326,446,662,628,790,961,623,616,489,173,820,366,718,080,876,340,762,
751,502,551,438,299,892,260,940,357,565,886,046,484,056,552,684,554,686,991,
879,455,204,094,177,617,782,181,667,725,994,162,529,272,889,712,663,606,216,
821,032,329,376,993,334,213,263,486,809,354,167,538,070,821,602,391,181,000,
487,093,839,166,403,374,142,870,926,514,685,928,908,619,023,664,778,782,550,
983,125,913,304,926,612,361,258,067,353,379,584,068,764,211,865,323,949,948,
531,894,715,285,964,035,554,744,134,183,050,995,080,505,713,739,322,635,440,
114,949,709,858,676,427,251,298,702,845,311,691,168,286,265,094,137,818,135,
657,893,304,758,738,713,510,757,364,485,212,539,460,305,369,615,389,015,607,
622,321,625,619,269,242,371,888,087,091,508,615,459,167,829,740,434,594,787,
099,453,729,359,820,833,915,472,916,125,106,463,626,147,412,064,244,368,403,
981,699,104,288,633,000,078,789,469,904,362,121,824,781,532,923,645,820,234,
978,866,628,789,574,322,703,318,518,912,089,875,392,387,050,106,343,636,080,
122,641,599,804,943,648,911,901,090,101,419,409,583,795,430,320,068,064,571,
255,723,354,849,951,224,247,945,640,388,465,217,378,235,233,344,805,982,387,
816,778,104,639,746,404,147,633,639,853,600,945,521,110,430,075,809,531,063,
137,489,661,332,019,082,241,489,555,840,581,032,659,188,143,645,743,278,066,
932,391,905,790,185,593,292,419,604,507,860,981,989,469,226,813,911,776,346,
547,749,195,681,324,329,814,061,580,625,360,885,945,646,255,575,474,167,762,
738,581,070,417,478,541,462,905,976,274,949,975,062,463,418,893,639,101,239,
179,646,916,402,847,773,904,309,123,399,044,440,125,918,122,778,324,653,485,
326,452,229,769,329,304,999,224,887,385,674,015,839,573,347,891,653,542,991,
354,069,032,362,185,698,501,608,317,632,347,265,470,526,000,516,955,974,382,
169,589,052,618,124,135,093,375,573,854,798,106,666,352,865,337,219,616,108,
637,231,831,536,458,871,144,450,433,281,715,448,266,874,993,666,942,035,744,
870,762,517,413,709,661,298,899,292,231,989,028,473,068,711,191,725,966,121,
519,891,909,658,782,991,459,193,362,277,887,562,241,577,807,269,949,837,025,
860,792,720,683,549,890,587,973,140,456,543,036,351,245,019,398,645,043,359,
703,024,883,816,735,558,219,158,338,995,330,268,285,536,471,202,924,775,213,
971,606,051,696,098,771,247,951,747,782,767,799,880,612,776,741,193,455,189,
497,137,140,157,895,480,526,490,610,745,337,478,542,951,058,055,962,471,628,
123,991,309,886,660,634,133,610,601,237,123,982,857,908,831,856,116,691,913,
764,134,837,124,747,287,567,360,612,920,372,501,875,704,766,815,089,714,230,
019,395,741,118,973,425,677,752,282,428,137,906,286,895,713,354,626,804,219,
684,093,679,437,009,244,027,534,860,936,394,662,281,175,827,384,818,169,429,
030,779,566,394,526,735,189,176,714,397,110,203,272,807,153,864,559,225,484,
140,904,697,691,246,409,487,087,252,606,363,017,721,503,801,137,277,474,856,
703,870,309,284,750,682,843,465,154,853,970,205,717,005,743,896,404,229,079,
272,217,194,331,401,762,784,040,524,531,036,876,732,243,585,077,484,230,063,
739,405,214,780,776,019,444,502,872,278,463,136,932,167,049,610,978,204,313,
413,964,111,510,528,420,985,113,941,237,950,421,621,775,318,139,249,787,353,
282,918,796,646,143,786,822,409,649,683,367,367,104,121,696,903,305,963,726,
156,915,042,516,794,059,783,927,684,735,975,546,047,906,003,604,642,830,376,
621,446,561,686,082,450,603,811,219,183,567,472,544,670,752,551,531,602,867,
620,496,904,857,039,923,906,702,821,194,484,350,141,445,959,506,253,317,187,
078,675,702,947,518,252,089,210,319,658,477,554,641,075,832,089,969,396,068,
661,582,606,268,112,408,179,704,089,657,752,143,943,861,138,720,444,987,113,
623,562,611,148,761,538,319,581,525,991,488,036,334,001,007,710,336,378,476,
406,326,736,706,834,451,340,891,290,431,595,515,480,543,638,376,637,041,402,
371,374,827,487,304,771,992,285,554,019,176,809,450,764,977,669,209,298,260,
655,769,205,949,784,846,621,756,370,059,639,292,621,872,086,131,599,015,828,
178,051,312,879,000,443,159,659,278,886,326,725,547,808,505,472,088,806,474,
202,403,021,384,707,016,279,357,291,801,644,446,119,404,047,824,491,096,830,
915,852,316,015,414,499,297,169,079,560,494,176,580,870,009,929,289,186,070,
602,387,133,228,255,596,962,524,511,847,891,637,367,098,084,350,665,533,319,
942,552,466,749,775,887,611,449,849,427,155,751,238,049,718,522,491,921,349,
655,835,622,586,461,941,386,839,304,354,046,519,548,993,482,250,828,789,286,
869,175,746,941,185,818,184,745,153,617,299,892,039,354,799,262,456,079,447,
564,383,787,280,808,525,697,022,221,059,950,907,882,377,900,671,457,353,697,
426,753,357,400,044,114,767,252,059,903,944,576,189,656,296,260,587,754,668,
343,506,185,336,913,134,569,537,171,943,093,311,918,827,433,193,371,963,721,
897,313,516,637,740,517,597,525,127,112,947,706,030,590,392,078,936,360,663,
433,419,717,048,860,290,530,997,582,399,540,403,797,182,795,763,493,681,210,
681,841,534,492,208,002,148,733,054,631,963,322,829,811,514,079,020,247,693,
496,152,280,579,372,874,983,565,587,528,320,805,590,560,850,779,439,739,711,
500,854,430,146,125,147,105,346,269,768,755,382,423,414,942,460,270,444,832,
008,378,454,234,189,160,519,897,227,927,957,967,091,747,890,452,440,144,818,
451,937,531,967,329,588,925,885,148,883,418,055,500,035,568,710,130,878,319,
931,684,141,524,013,056,260,928,925,008,351,270,081,005,705,700,744,330,337,
346,348,824,633,524,311,832,375,085,125,754,689,754,634,190,566,603,912,981,
992,561,295,297,949,026,174,702,167,384,592,772,655,840,667,703,518,624,949,
741,779,206,384,013,525,540,332,983,011,941,769,896,475,550,105,396,198,987,
197,417,498,440,429,543,656,785,807,276,041,210,386,089,194,904,036,846,994,
802,277,302,293,259,657,114,897,260,787,191,274,054,177,528,238,604,584,710,
897,573,695,306,931,312,804,156,607,083,276,775,447,166,096,837,006,866,114,
007,529,498,440,272,670,791,067,729,646,200,438,532,596,646,961,847,834,767,
464,766,798,849,812,077,983,871,469,223,450,917,772,653,862,877,952,163,030,
923,489,856,048,429,138,335,221,250,404,728,129,545,395,426,335,806,713,355,
923,848,035,606,111,275,642,234,453,576,619,708,982,841,731,088,894,502,300,
033,354,436,552,770,589,017,571,085,152,061,408,065,966,042,278,240,503,188,
618,049,085,029,583,218,997,054,893,164,859,930,062,005,211,645,912,605,738,
597,590,067,040,374,976,196,907,830,800,121,658,623,511,899,756,311,541,920,
526,699,191,625,006,396,008,532,891,470,323,807,797,921,330,652,060,101,413,
695,377,243,236,903,866,027,683,725,025,311,027,014,574,510,515,074,305,213,
953,924,301,653,998,954,122,843,816,384,218,778,667,643,761,750,507,256,370,
818,575,689,802,274,631,594,281,384,857,180,437,018,620,084,841,102,893,103,
426,202,831,167,591,341,985,552,528,317,422,576,048,472,648,488,796,204,302,
138,664,727,161,436,263,281,320,143,638,561,136,608,003,833,528,671,016,491,
032,879,108,726,138,005,432,483,090,915,169,191,402,053,597,008,772,758,374,
822,696,078,556,844,940,889,782,492,754,903,154,519,124,379,185,058,597,153,
052,538,933,582,798,058,241,749,633,283,498,235,790,075,805,009,592,744,447,
141,184,894,533,776,636,321,641,880,919,955,472,374,813,150,000,118,162,330,
657,021,113,009,771,841,329,451,740,308,326,040,509,389,251,405,464,332,470,
068,144,835,003,423,086,827,573,443,017,317,461,187,453,195,190,680,938,812,
892,968,441,562,413,369,434,056,472,784,716,247,129,239,831,516,211,588,896,
234,951,543,710,337,763,478,516,108,815,532,094,316,619,756,216,364,632,497,
348,787,427,667,810,011,958,983,173,330,382,772,257,381,553,250,723,638,828,
119,227,324,373,760,359,618,713,751,350,330,437,192,171,335,624,285,709,321,
089,047,294,389,453,602,520,656,009,946,201,902,614,856,982,498,386,021,707,
982,279,363,166,284,419,363,850,248,718,756,725,318,774,721,546,409,510,713,
262,605,324,304,236,279,255,123,771,174,139,136,959,489,269,586,126,102,826,
115,249,786,956,928,583,588,806,964,927,937,793,468,721,739,410,683,885,047,
093,585,802,663,219,366,722,357,030,735,976,115,914,062,989,324,710,555,242,
355,769,555,004,356,278,893,437,142,196,173,660,410,097,870,268,233,448,174,
900,080,577,438,975,711,713,254,577,880,675,511,468,074,635,581,559,892,397,
707,805,117,463,439,645,456,073,075,958,371,852,238,863,220,671,099,823,486,
534,170,119,712,902,286,546,209,433,432,459,518,478,604,755,417,759,879,777,
641,510,587,287,917,221,477,238,603,524,291,811,705,589,721,700,788,408,856,
524,483,025,462,138,175,710,409,298,585,739,312,875,030,796,279,893,298,035,
192,764,528,367,243,388,964,618,958,766,356,266,276,892,118,964,311,415,478,
296,020,599,827,320,446,516,757,827,122,457,597,471,555,879,294,508,452,726,
495,407,473,712,260,917,863,305,197,032,231,203,429,275,666,327,960,734,817,
828,372,236,154,215,915,701,534,588,501,411,034,561,471,304,165,077,870,221,
853,146,642,305,972,992,524,530,153,604,507,016,935,496,622,964,784,155,471,
124,112,521,184,568,737,469,315,526,962,911,928,424,250,886,253,992,570,302,
730,753,341,804,279,653,872,256,803,890,493,757,106,272,288,615,257,625,216,
987,401,810,367,325,745,837,056,974,201,061,062,783,515,806,834,790,093,400,
411,988,719,664,904,800,935,632,073,279,616,118,923,094,890,813,611,744,009,
054,617,583,743,639,892,527,255,020,399,733,415,325,675,671,051,593,206,286,
282,414,916,036,290,281,655,138,248,719,541,028,155,715,351,593,506,196,882,
782,891,123,356,825,896,050,747,607,976,476,678,209,366,614,695,062,704,892,
004,225,080,598,972,185,122,821,338,433,176,556,175,664,844,774,455,440,314,
498,925,739,494,016,282,915,556,041,572,799,807,361,265,949,278,826,959,597,
616,718,095,643,280,338,022,915,648,109,130,757,550,212,257,980,516,943,195,
138,262,838,305,184,185,927,588,666,246,039,452,021,069,064,167,263,182,992,
756,785,102,478,241,239,794,175,325,669,203,158,813,636,489,164,931,198,320,
396,390,834,278,638,248,527,883,793,810,640,831,626,144,424,786,421,071,211,
011,801,198,887,257,969,901,289,655,584,770,236,950,999,526,923,267,362,734,
821,240,228,387,093,816,841,862,599,644,678,765,193,692,898,401,424,260,610,
844,731,970,393,651,039,271,265,951,294,469,631,813,337,991,892,503,740,357,
688,504,372,959,755,325,129,253,313,276,231,760,935,684,226,776,235,620,262,
585,287,287,383,870,413,023,943,560,286,309,410,042,766,990,937,409,615,397,
416,437,183,171,990,883,921,911,095,958,615,013,781,576,898,580,105,045,459,
928,970,915,067,617,645,497,201,928,041,424,253,828,842,599,824,250,049,313,
748,444,238,040,788,428,498,342,311,842,070,216,721,896,523,064,508,367,485,
739,566,564,731,317,131,792,798,799,560,975,502,463,225,213,728,927,119,440,
577,958,184,665,189,590,175,018,675,632,803,269,943,575,183,380,633,557,580,
493,913,279,734,184,531,649,318,743,409,762,391,226,787,592,632,223,632,401,
445,080,595,337,765,167,337,108,991,619,049,398,225,377,851,886,196,188,576,
241,271,988,125,387,234,460,757,104,005,525,366,896,820,734,191,732,896,652,
786,317,342,021,041,537,820,947,467,562,752,200,051,955,654,768,137,337,455,
685,091,319,417,765,503,562,389,897,456,350,593,950,678,845,569,541,775,927,
173,243,606,343,399,349,413,515,797,352,916,706,495,801,006,492,893,255,163,
414,800,018,403,051,397,301,070,365,273,298,715,091,269,969,666,621,696,758,
352,509,815,771,216,105,825,070,622,423,254,400,321,215,164,368,993,787,065,
970,996,013,048,261,360,677,331,203,706,703,012,760,869,023,996,008,926,254,
116,123,455,238,142,270,415,676,247,460,741,098,823,172,559,783,330,224,635,
183,326,835,407,963,191,866,809,817,130,092,767,818,312,109,304,060,020,493,
613,841,186,590,639,822,120,411,237,621,740,813,634,395,523,745,113,470,169,
283,700,982,563,864,377,359,567,448,195,386,145,202,143,328,788,740,290,350,
176,892,121,791,176,530,276,505,346,216,507,420,164,396,792,156,017,563,801,
769,551,777,657,913,509,493,540,546,428,244,145,303,498,585,455,496,641,406,
976,260,709,668,128,917,125,695,289,132,712,485,772,923,721,305,500,136,333,
798,801,104,729,903,719,511,845,242,216,186,222,317,535,892,781,423,202,765,
656,384,963,078,878,826,514,543,249,928,445,933,832,455,454,544,139,464,980,
077,737,690,558,017,448,517,761,634,995,243,556,717,964,967,109,542,059,032,
959,297,030,403,127,428,950,295,140,314,112,732,399,071,208,843,010,183,381,
633,987,983,975,860,188,675,205,310,745,124,645,550,291,064,473,017,277,071,
854,580,553,212,882,992,695,309,395,709,057,279,238,569,755,265,475,374,379,
943,053,597,188,270,935,354,712,039,165,790,543,537,128,732,628,408,365,473,
688,379,335,165,544,079,110,258,408,288,556,692,052,573,508,313,523,351,780,
785,120,152,606,418,787,227,051,039,414,554,093,257,016,873,780,631,854,008,
355,035,463,420,461,973,588,892,812,180,463,745,979,853,582,473,460,515,395,
518,398,411,812,706,302,308,245,510,582,261,719,500,396,047,028,153,215,780,
887,049,658,453,671,180,000,574,959,110,455,185,654,506,916,151,109,903,335,
095,103,525,321,850,324,067,862,121,697,295,059,711,833,558,378,258,733,848,
324,345,445,566,143,165,279,643,656,622,432,139,421,200,752,586,317,039,478,
175,099,441,307,847,929,741,535,800,867,852,278,657,039,963,687,275,779,922,
619,204,963,286,923,875,712,051,348,726,327,516,784,574,272,390,471,210,561,
225,577,836,257,227,512,707,823,650,395,682,788,660,401,699,839,763,389,512,
700,234,352,430,657,311,401,863,211,674,643,560,687,403,963,946,203,361,755,
728,039,211,623,992,545,227,741,311,267,123,467,989,895,752,117,520,451,772,
410,080,992,434,206,852,143,345,425,073,093,457,116,358,788,141,752,484,794,
937,583,800,494,453,377,416,031,090,683,025,474,417,758,912,796,897,797,866,
179,616,644,357,192,748,700,840,503,046,268,561,652,279,310,803,718,681,500,
377,937,334,894,267,013,156,522,039,401,497,024,492,795,914,488,225,348,535,
988,700,189,188,063,184,181,488,669,285,565,908,201,808,430,765,066,516,466,
001,603,893,814,858,965,656,089,669,195,310,895,123,539,912,890,489,640,401,
473,120,005,735,753,511,440,953,008,407,374,989,865,732,053,562,815,731,845,
751,700,541,705,008,976,267,996,515,989,686,537,397,507,453,770,036,104,106,
222,661,275,188,574,425,760,097,817,969,269,731,937,642,573,845,458,234,153,
267,467,675,331,819,088,745,588,759,681,238,324,206,093,244,522,018,811,553,
753,336,585,269,370,693,017,435,280,899,190,293,667,076,058,754,658,611,783,
287,850,211,230,785,752,400,555,674,519,792,322,854,524,975,181,327,208,005,
167,536,739,238,986,712,841,352,952,995,340,408,550,930,090,208,515,475,182,
140,611,929,557,596,920,626,968,925,252,391,302,764,283,784,374,088,005,258,
576,604,113,973,981,920,428,609,390,235,111,014,256,196,576,363,135,906,021,
354,463,766,118,980,276,832,785,873,255,888,577,690,729,469,398,452,211,939,
465,353,991,547,094,778,254,030,116,390,430,348,807,696,767,794,492,161,497,
020,577,038,806,484,542,372,376,204,755,302,234,506,863,201,779,326,245,879,
089,147,759,490,843,714,206,746,076,441,446,088,856,372,860,216,010,919,093,
462,781,019,058,739,108,591,159,618,255,618,416,992,723,318,899,887,973,425,
945,727,199,475,213,868,276,417,787,399,859,254,672,488,225,959,346,226,684,
690,494,396,283,208,589,676,694,271,179,157,775,242,695,666,059,879,694,480,
204,696,203,666,044,192,272,348,893,088,642,070,779,810,529,944,667,062,816,
335,805,957,164,863,086,042,421,083,654,166,998,516,168,381,002,421,281,280,
138,698,247,959,134,688,314,707,694,275,605,507,309,484,004,312,567,082,116,
894,183,254,112,755,830,008,235,758,299,635,825,218,408,663,818,483,810,049,
448,359,871,537,585,155,614,779,415,274,845,584,436,699,495,556,251,902,300,
855,875,085,978,020,331,112,084,130,574,678,883,086,754,131,784,055,855,403,
670,671,307,427,146,106,048,970,170,147,740,790,422,471,889,489,594,377,146,
522,968,172,847,480,000,795,647,458,270,725,481,564,133,539,664,517,100,398,
679,101,062,063,413,848,045,988,076,875,636,030,312,470,043,364,160,370,794,
633,457,075,415,436,011,358,314,096,437,527,083,935,734,045,208,269,582,675,
801,905,512,193,461,185,596,671,476,860,742,651,934,183,910,386,596,547,369,
413,648,043,507,319,397,455,507,453,424,700,048,573,668,493,217,016,393,264,
225,936,192,448,156,805,086,366,593,219,986,464,414,036,432,943,828,323,575,
096,329,259,530,442,460,634,429,562,464,771,151,527,335,923,994,552,173,653,
707,345,010,198,423,650,145,869,636,305,299,237,109,300,042,668,133,653,789,
394,812,222,827,304,665,081,682,181,986,949,084,183,777,436,811,212,706,016,
036,101,362,802,280,320,885,366,607,156,570,849,972,443,979,417,847,742,192,
596,915,514,469,850,838,589,769,331,338,379,801,388,466,102,692,410,874,697,
883,175,804,787,861,919,423,876,919,137,926,737,832,311,455,346,037,735,388,
790,631,261,968,159,050,623,367,168,970,709,479,850,100,283,285,815,145,872,
462,232,373,455,024,992,450,152,519,197,789,606,090,782,277,403,574,781,035,
907,170,652,134,337,591,732,309,800,315,761,789,509,262,937,040,608,961,955,
030,370,264,481,076,730,066,353,591,023,042,730,786,824,980,342,458,492,961,
871,014,464,102,615,333,662,457,791,648,700,190,324,416,027,375,019,388,831,
539,573,151,729,159,432,699,550,208,284,244,188,386,473,399,920,251,676,718,
913,845,607,727,827,352,890,212,822,558,420,284,231,296,487,673,499,299,196,
925,011,833,888,210,899,010,673,715,211,159,112,934,498,021,861,307,943,246,
052,877,842,050,263,871,210,737,462,279,052,374,363,717,182,905,244,703,512,
481,172,317,729,917,259,427,320,415,934,525,184,514,773,983,670,985,348,545,
328,432,743,868,443,716,662,479,989,922,868,005,446,108,737,270,067,375,490,
268,092,951,383,748,354,069,416,078,895,994,376,341,524,991,915,405,072,011,
359,739,939,776,035,392,246,018,830,754,839,172,500,598,896,444,563,978,716,
602,128,925,358,519,773,862,792,648,543,145,026,343,246,533,705,127,720,136,
330,849,176,937,499,394,938,939,183,867,475,410,369,847,130,845,539,839,542,
564,363,068,979,241,688,504,095,015,057,994,915,536,861,350,547,891,558,243,
878,161,392,357,118,864,394,365,664,790,530,852,375,811,907,051,916,770,010,
343,435,757,225,231,082,531,959,083,969,707,209,964,958,517,559,866,792,264,
380,643,273,015,579,813,224,198,802,486,107,414,355,509,592,772,841,416,858,
517,044,293,609,772,503,062,263,101,701,605,718,565,120,083,480,509,899,010,
166,663,439,837,845,178,775,934,453,818,820,805,710,699,696,655,999,778,623,
391,503,271,691,663,031,369,834,215,050,817,975,392,750,766,061,723,924,635,
571,952,924,195,822,269,178,016,331,503,834,220,630,137,101,836,991,816,952,
668,325,217,776,581,751,139,238,770,659,349,123,938,876,782,383,008,919,509,
826,319,375,189,727,986,498,656,297,712,931,159,520,421,720,899,926,448,557,
915,845,928,362,189,891,666,308,785,913,276,945,504,806,129,411,738,941,736,
657,459,574,126,270,323,724,566,608,679,251,178,277,629,294,283,096,308,086,
082,706,132,442,222,192,147,452,369,729,802,070,141,435,235,199,083,317,180,
153,807,882,004,188,458,405,563,884,839,758,158,994,594,126,871,312,623,632,
237,556,788,403,795,357,776,674,571,547,820,256,457,734,222,868,014,375,206,
324,801,032,444,060,228,266,678,958,590,248,863,101,993,508,209,022,811,398,
382,801,223,349,594,523,044,710,869,046,399,110,580,124,411,644,589,735,324,
423,618,960,541,961,693,007,534,211,252,417,386,315,560,295,526,491,215,935,
932,094,466,767,017,528,730,572,617,985,980,540,922,243,530,199,415,543,397,
781,072,955,631,082,613,959,397,444,972,349,349,599,299,785,797,424,544,054,
100,040,995,722,325,545,621,167,173,410,026,076,606,391,639,154,535,068,237,
277,230,805,656,066,350,234,578,958,934,388,226,769,565,150,382,112,925,935,
002,059,642,620,043,154,105,190,193,787,183,350,536,542,660,764,723,127,925,
376,530,227,182,613,458,642,827,543,571,020,634,049,058,806,861,375,097,376,
254,628,035,088,371,384,644,210,021,006,546,244,417,296,069,487,512,524,284,
561,667,188,512,476,388,829,724,546,212,595,053,602,357,486,048,733,472,956,
279,896,058,282,274,685,800,705,790,239,249,916,115,629,316,840,607,743,150,
616,023,288,990,901,041,927,131,539,395,398,891,140,694,510,353,395,151,051,
327,193,913,771,560,959,090,409,464,829,398,988,415,804,089,747,474,574,835,
734,057,368,674,276,433,990,321,971,462,707,768,247,956,086,833,122,230,263,
935,775,981,430,578,930,412,503,610,029,999,900,661,738,684,036,951,155,200,
840,869,041,084,782,062,367,336,928,940,381,388,964,246,115,064,387,860,906,
299,461,549,796,428,773,595,757,022,315,947,389,883,898,123,039,335,668,145,
392,492,925,543,777,016,617,971,968,470,104,021,780,343,905,204,563,067,630,
016,353,498,235,881,630,110,796,535,270,867,885,011,695,767,198,925,645,546,
726,906,421,198,812,160,744,756,024,838,627,274,229,347,172,647,447,601,210,
222,458,090,226,088,455,591,335,435,525,565,147,666,542,770,820,206,738,031,
355,920,352,995,938,932,134,897,337,926,493,733,083,474,825,966,802,845,778,
214,989,130,416,938,185,395,573,949,258,085,986,867,792,200,053,412,556,098,
428,759,698,546,349,252,675,195,274,486,447,806,830,651,071,157,501,029,233,
628,794,199,443,782,714,459,411,697,259,001,167,780,252,437,073,858,960,524,
088,460,720,830,573,685,966,639,462,157,373,929,058,847,759,683,217,748,547,
086,483,999,698,109,455,691,729,771,882,828,715,822,017,855,042,723,407,354,
261,825,344,678,131,970,166,245,892,243,190,987,490,685,620,502,094,948,081,
348,638,172,468,849,640,709,909,267,447,307,346,823,989,720,054,592,854,081,
390,172,824,811,718,727,381,728,864,846,415,965,747,593,202,710,106,378,762,
587,708,966,610,063,324,076,541,564,062,658,615,855,059,580,054,904,423,152,
829,663,908,148,434,052,021,624,975,424,520,099,102,647,346,502,073,400,126,
553,829,654,847,142,802,408,500,693,397,447,553,283,705,918,060,926,923,243,
804,511,340,129,754,521,248,856,774,091,565,406,268,988,532,183,141,294,253,
394,887,739,606,333,150,324,277,508,126,532,657,102,167,203,338,616,776,723,
065,231,293,219,889,167,421,703,155,586,269,762,435,787,432,429,456,284,282,
847,816,292,117,152,322,455,773,136,488,007,569,369,442,008,000,263,820,433,
078,103,866,890,664,584,175,395,276,440,466,239,310,675,508,389,168,750,086,
659,388,150,526,393,637,531,206,287,667,725,134,669,102,397,170,111,863,978,
880,851,041,895,012,785,256,327,599,098,864,758,132,589,991,742,905,603,005,
155,811,220,654,481,599,657,716,092,495,154,787,899,190,725,571,548,239,150,
592,775,062,948,196,501,956,503,157,455,140,701,596,010,677,819,169,750,500,
511,083,073,752,188,038,632,569,507,413,290,857,828,327,182,346,710,021,165,
635,159,101,571,999,752,737,684,805,932,216,318,766,099,725,247,552,180,445,
275,159,027,920,254,366,871,243,493,190,333,417,413,498,563,210,978,839,082,
122,083,838,016,060,834,678,919,328,902,863,760,440,846,800,993,724,204,485,
006,817,370,271,291,259,006,119,499,759,622,830,498,896,806,342,568,811,158,
385,001,987,396,820,886,075,481,297,004,269,808,971,209,778,681,289,626,481,
221,035,977,067,741,922,779,545,461,298,175,162,856,231,781,869,547,194,515,
896,674,743,684,387,616,241,555,407,214,239,070,024,684,144,737,488,928,353,
239,728,780,128,570,971,889,960,007,038,121,573,070,794,067,521,741,343,469,
412,684,365,317,239,187,972,988,378,696,647,366,375,902,261,345,380,505,978,
373,424,497,623,756,881,185,964,444,453,060,902,198,906,158,689,916,363,680,
783,657,928,406,577,187,105,957,252,792,399,655,790,091,669,800,854,038,616,
286,840,099,030,307,260,422,995,322,539,239,486,889,028,371,948,618,999,067,
682,523,061,620,320,590,112,813,981,996,716,090,375,260,754,217,063,922,148,
154,638,019,515,350,933,434,130,884,583,854,183,156,885,024,162,074,353,005,
853,361,234,030,278,405,144,220,451,254,254,231,196,952,379,358,178,174,497,
303,512,695,997,955,535,249,281,020,926,314,632,805,605,386,597,209,746,445,
355,074,891,709,899,817,242,300,650,081,338,419,839,782,217,262,129,995,792,
460,483,994,771,146,645,266,846,492,078,159,763,699,495,344,249,276,932,595,
674,132,114,129,860,496,281,894,682,767,788,163,771,423,018,116,540,351,980,
211,167,258,164,375,677,784,043,406,232,018,403,643,917,736,856,014,474,562,
752,740,339,302,962,652,575,335,885,618,928,284,366,675,056,823,084,295,281,
099,149,188,768,221,800,350,496,137,189,202,318,928,488,396,455,646,660,856,
564,536,310,365,971,910,830,696,906,341,448,678,564,744,461,206,802,503,556,
527,372,492,755,305,564,641,250,212,221,254,811,274,641,687,176,127,036,583,
861,908,878,063,676,470,638,004,921,255,424,555,719,721,011,762,654,782,414,
737,694,746,458,771,371,971,069,396,966,683,377,360,457,197,715,938,704,887,
713,505,922,988,461,131,241,670,581,794,570,207,534,695,631,016,353,742,711,
046,592,338,642,982,559,904,153,842,260,915,131,612,180,936,007,302,410,777,
922,802,733,237,868,207,577,852,664,523,688,386,604,093,650,763,680,566,801,
217,846,380,089,354,190,368,851,341,353,580,854,635,425,616,056,645,424,806,
719,937,828,118,486,016,155,973,199,479,823,056,942,008,002,506,797,280,153,
468,230,793,347,724,365,510,264,572,761,213,521,647,934,613,528,049,125,317,
822,490,475,838,590,717,485,279,658,908,565,111,308,034,681,911,798,382,700,
176,626,200,779,077,347,092,221,693,090,141,328,297,093,409,885,911,477,799,
870,801,234,896,280,709,041,897,823,899,184,128,380,194,710,847,774,917,732,
927,559,267,025,637,350,306,540,985,944,156,840,221,410,110,187,540,274,585,
106,934,149,244,823,581,325,778,254,869,662,220,569,151,229,645,114,376,483,
349,459,214,127,177,903,815,801,995,566,935,128,696,530,502,155,091,137,474,
969,534,259,629,046,906,464,766,494,604,652,405,074,824,435,476,229,877,644,
660,609,569,040,807,750,573,988,387,691,623,711,698,598,055,196,330,996,206,
242,726,330,588,598,012,877,643,805,114,799,583,516,766,052,007,756,761,244,
971,768,700,337,413,729,149,634,936,521,280,916,912,592,553,583,869,273,199,
816,236,605,683,116,718,905,290,203,615,029,975,744,265,110,509,950,905,814,
437,938,419,575,284,013,332,374,741,641,908,962,954,045,775,466,882,057,666,
643,034,596,825,272,273,183,471,371,158,655,356,128,254,430,565,976,575,481,
140,190,678,648,568,748,196,480,770,308,637,287,864,797,554,981,359,881,626,
735,383,859,186,264,208,120,842,773,248,346,825,767,118,466,827,200,637,834,
811,154,659,237,685,613,374,383,149,398,481,381,457,188,200,455,798,193,809,
337,243,864,384,051,195,890,136,458,193,764,514,286,083,626,033,626,100,683,
808,822,966,954,658,335,688,337,723,322,615,148,473,992,985,293,832,609,261,
258,835,594,147,398,488,208,171,151,183,443,282,706,101,608,802,900,751,626,
676,954,884,428,532,006,090,770,997,772,536,363,471,879,516,697,034,901,291,
663,931,339,115,775,110,162,221,840,148,139,821,657,605,732,030,169,180,949,
526,432,461,018,565,614,131,221,501,470,641,899,054,783,756,202,139,431,143,
125,968,322,308,203,913,676,827,164,115,705,317,277,754,991,094,230,370,710,
204,571,055,335,599,332,555,652,436,461,778,528,893,573,953,798,995,094,471,
217,283,908,641,799,743,514,249,407,582,969,615,109,305,295,864,298,170,795,
580,114,225,063,712,515,855,738,486,398,020,285,779,538,370,250,862,554,856,
282,717,202,733,696,423,697,396,339,842,739,255,324,988,738,106,045,138,157,
958,585,389,672,658,806,222,254,199,789,628,508,382,581,720,040,419,724,990,
923,169,527,251,895,811,086,903,596,430,787,820,433,267,867,365,686,655,634,
808,673,911,729,948,529,861,856,037,611,745,305,712,350,019,227,903,128,585,
466,504,195,162,453,223,383,488,780,495,582,790,768,056,027,884,797,011,118,
573,969,256,274,238,565,740,178,116,793,438,011,548,001,870,300,123,440,200,
359,087,617,661,954,654,556,099,889,430,312,624,584,690,782,466,553,313,676,
318,917,700,433,983,653,302,759,387,847,190,438,897,898,846,926,824,935,456,
150,815,076,354,232,587,103,309,732,057,463,738,052,967,297,907,407,704,859,
813,383,646,233,767,323,135,686,698,409,761,610,247,246,826,814,801,789,677,
645,960,954,817,389,438,877,938,763,296,226,021,362,903,783,300,507,861,100,
870,996,794,080,459,818,073,755,536,066,185,357,646,953,769,757,419,091,899,
824,171,237,945,251,996,717,784,896,923,532,855,793,036,720,234,380,336,672,
432,799,025,571,875,529,850,305,743,672,029,604,598,848,395,922,688,274,209,
683,289,190,235,028,236,663,957,779,005,056,045,340,563,954,391,133,373,395,
443,438,773,215,421,531,929,512,725,601,147,163,708,226,893,114,145,194,953,
681,957,122,769,144,069,263,082,666,964,331,922,624,457,533,557,160,283,129,
425,343,456,513,839,018,517,956,579,985,568,140,824,992,389,445,005,945,992,
000,552,660,666,339,329,049,930,636,890,374,000,497,987,445,383,052,909,187,
025,613,396,069,598,307,615,370,459,958,703,535,581,242,708,731,833,991,092,
450,900,786,442,434,102,896,205,836,792,214,900,289,549,341,434,666,277,676,
494,682,278,970,430,453,850,923,895,944,538,725,103,711,250,604,350,487,991,
370,199,280,234,049,447,067,726,456,071,380,457,326,379,131,423,142,489,497,
828,724,208,354,147,875,126,272,422,342,303,838,871,003,790,625,662,214,569,
617,684,244,816,433,852,186,224,797,053,010,359,170,973,061,766,259,291,829,
110,741,954,547,274,453,289,708,189,698,542,430,655,300,606,979,543,659,503,
310,387,811,680,961,382,748,350,356,347,441,721,047,377,812,561,706,450,443,
850,245,019,432,898,692,575,102,625,163,469,981,294,509,751,491,528,318,212,
096,683,247,316,979,334,686,051,210,488,750,722,627,002,892,267,839,623,854,
672,364,756,109,150,242,838,488,256,123,932,610,743,710,395,782,927,032,140,
324,853,570,025,168,772,859,512,930,982,764,262,649,151,682,702,303,457,927,
564,991,837,047,486,347,841,455,079,308,505,589,248,640,621,493,463,887,836,
527,595,135,223,525,895,398,493,081,428,943,963,036,606,533,461,562,890,679,
747,230,275,162,699,627,909,080,678,327,862,977,603,366,406,283,417,576,233,
713,555,377,443,430,654,556,698,359,078,667,850,005,955,715,421,194,754,458,
125,583,667,190,176,467,924,883,990,835,667,921,952,578,594,690,683,821,256,
314,918,748,183,596,519,578,376,629,838,856,150,507,956,306,959,452,909,552,
149,437,499,093,524,129,212,016,236,865,900,914,074,796,422,373,025,539,504,
702,088,483,865,756,660,559,871,534,199,413,069,227,916,573,581,031,264,140,
839,972,848,718,361,950,101,047,625,967,270,191,799,223,069,799,020,696,990,
880,375,228,349,335,305,746,098,243,029,463,746,640,451,606,693,876,495,922,
635,708,235,707,674,839,220,325,884,684,248,621,432,718,507,415,231,101,962,
162,529,214,810,255,652,947,664,617,672,838,185,769,017,048,774,094,736,688,
560,454,160,570,291,262,749,273,925,413,303,524,667,634,669,248,989,020,857,
655,329,921,348,088,848,113,046,510,476,113,734,107,771,142,543,152,438,560,
594,126,180,722,413,048,944,657,837,242,939,450,291,010,000,859,135,046,908,
807,501,281,742,292,309,017,847,788,743,198,444,675,642,751,664,369,115,575,
372,351,828,979,520,258,524,997,506,115,183,065,362,007,089,231,890,870,522,
121,860,088,730,057,795,357,440,877,321,818,359,223,394,380,889,768,787,847,
711,820,012,318,209,838,085,948,579,071,816,781,126,506,142,653,144,296,454,
533,433,449,171,339,489,494,841,642,198,333,172,863,936,804,348,231,427,794,
379,738,586,565,790,550,985,343,766,639,291,156,123,833,004,201,491,263,150,
328,542,940,154,284,087,548,572,002,071,730,405,672,105,697,469,664,723,706,
427,800,195,498,642,185,334,993,488,486,746,481,716,856,966,329,541,316,464,
238,292,291,175,678,682,771,603,696,961,619,938,744,940,793,483,037,052,910,
338,216,836,151,940,334,472,570,253,799,964,131,496,179,699,239,835,723,735,
952,773,787,311,944,477,284,045,614,311,176,332,067,713,074,818,402,014,819,
851,753,480,830,540,720,170,027,589,142,993,480,686,641,129,936,146,265,608,
640,196,266,430,485,382,377,905,233,250,316,487,629,100,038,291,402,628,966,
974,204,469,295,859,426,210,245,975,452,861,992,634,226,189,674,553,352,714,
406,798,068,414,005,393,321,138,263,438,352,600,433,340,823,689,991,947,210,
125,982,779,687,548,507,165,081,982,200,395,722,590,190,672,931,831,453,780,
630,267,518,250,181,152,748,372,151,216,528,708,217,137,809,075,879,060,441,
351,159,368,883,953,953,250,865,647,983,929,101,688,673,219,301,532,922,113,
451,825,163,073,163,044,798,560,422,896,490,235,670,933,714,270,484,487,326,
546,017,399,666,181,576,444,230,572,435,931,893,222,264,441,647,163,962,315,
032,200,166,574,922,007,775,769,876,895,926,145,926,313,869,343,040,181,843,
285,817,180,636,583,438,435,581,901,229,212,607,186,341,266,197,205,645,061,
492,808,837,082,320,510,078,738,155,379,290,659,668,585,406,460,305,945,010,
802,715,856,982,276,407,312,219,025,149,891,147,991,222,687,946,389,434,438,
038,905,977,635,769,548,660,476,151,008,692,798,295,913,610,451,904,626,321,
538,282,464,761,630,077,763,490,821,508,956,023,067,195,623,751,104,539,908,
557,617,973,010,013,329,518,986,620,193,957,723,409,990,996,171,187,527,921,
465,235,715,922,685,290,742,252,022,279,949,812,913,359,228,482,504,341,414,
914,760,005,799,426,551,297,052,175,136,965,613,630,554,224,555,813,772,675,
934,286,169,538,223,652,057,136,425,743,342,110,598,583,615,949,575,450,286,
661,217,576,459,253,366,565,668,753,073,672,604,958,098,032,170,821,572,999,
440,851,457,267,466,464,460,430,558,230,105,549,230,073,538,421,225,705,583,
918,971,074,042,421,361,660,165,506,632,146,066,530,205,523,624,113,126,046,
654,303,765,830,622,661,037,850,029,843,168,890,962,733,704,764,746,516,709,
966,713,214,875,254,661,147,180,585,944,424,144,404,490,077,326,027,189,027,
102,492,295,609,999,233,193,583,287,452,485,990,846,937,038,462,315,186,264,
119,819,039,264,964,373,739,831,979,059,227,776,766,890,267,787,957,035,884,
536,269,047,180,210,837,984,524,675,479,756,617,258,321,477,368,275,178,343,
671,623,890,773,062,311,744,756,927,152,377,891,561,150,129,566,120,395,906,
968,114,345,455,678,069,154,870,401,999,431,460,070,826,918,345,714,092,705,
550,289,036,208,884,320,065,058,441,124,475,539,843,185,891,347,744,527,998,
839,793,056,419,967,587,143,784,919,426,533,282,367,142,919,573,106,198,109,
474,136,894,671,797,636,813,188,644,619,830,428,133,788,098,784,924,571,254,
204,241,643,689,296,316,067,665,744,851,472,932,694,943,650,614,255,212,626,
407,869,993,239,011,985,929,578,839,461,181,816,158,831,506,077,093,955,409,
812,611,533,625,279,455,099,688,267,782,734,848,527,977,516,918,334,067,516,
838,944,431,164,659,850,786,629,676,031,812,650,562,653,775,632,104,014,230,
136,721,709,695,280,908,177,298,799,240,022,160,274,435,904,732,135,191,735,
654,165,363,841,353,330,527,777,986,701,475,381,639,831,907,070,848,913,285,
677,825,088,207,788,014,153,899,921,902,947,668,187,084,655,029,890,654,736,
845,009,569,997,942,614,685,753,351,005,342,874,874,299,830,498,244,048,912,
166,155,661,813,343,369,664,916,954,433,889,999,823,470,917,646,545,685,532,
759,993,785,607,948,350,203,476,556,787,524,701,226,471,611,113,733,071,013,
444,270,821,448,003,010,268,209,164,047,502,183,180,078,711,461,968,891,068,
193,372,421,515,515,404,263,415,026,674,518,162,299,233,244,981,898,828,106,
856,055,276,145,977,630,815,592,049,089,170,431,988,868,816,603,465,915,827,
211,350,391,652,952,601,062,354,990,965,189,287,388,867,854,305,275,970,422,
778,509,245,611,909,941,407,185,765,421,571,809,413,821,676,782,146,262,765,
787,712,432,117,153,656,991,425,801,616,052,957,679,411,197,079,076,150,143,
448,685,231,096,022,022,680,427,843,674,394,831,834,130,885,502,040,695,469,
065,560,576,459,030,439,912,573,579,206,248,127,083,710,783,919,105,289,911,
681,057,292,974,587,628,195,166,583,869,218,847,584,483,794,333,964,336,432,
342,035,030,917,715,015,661,251,937,189,261,614,526,228,812,866,546,627,397,
970,935,822,149,949,996,791,040,665,003,282,992,155,354,620,969,159,682,181,
891,243,186,708,075,161,283,603,492,653,094,323,463,772,361,419,510,759,140,
070,751,692,836,722,040,917,069,681,498,006,449,061,175,341,582,620,396,643,
235,973,010,929,533,517,365,993,096,298,174,544,395,618,231,810,449,171,590,
224,374,016,784,579,748,759,876,091,843,568,829,426,979,216,844,968,289,863,
705,637,139,631,711,943,519,747,340,968,444,217,212,116,711,088,665,745,265,
477,929,286,490,537,577,547,802,971,658,478,178,336,636,511,277,487,534,708,
578,862,364,562,763,645,997,601,064,034,880,774,406,027,383,746,249,656,015,
418,699,425,341,219,920,955,811,256,494,923,697,397,001,846,989,891,155,025,
771,017,761,774,119,079,146,707,385,522,389,515,446,944,422,287,155,517,139,
754,624,225,880,838,795,363,604,658,786,919,337,976,334,176,460,394,693,632,
845,999,887,884,962,557,926,083,125,528,976,068,297,680,827,311,155,852,584,
926,166,832,569,645,351,423,514,641,259,654,513,206,671,932,720,698,624,670,
354,902,076,462,630,499,717,174,900,473,634,293,621,966,239,437,107,559,279,
170,574,895,485,778,810,542,986,440,636,179,704,900,361,800,335,757,459,241,
552,454,123,137,274,155,830,101,230,588,812,454,111,448,220,816,138,111,011,
276,763,862,331,434,263,196,952,026,312,922,378,613,983,577,389,492,638,458,
365,598,810,857,512,679,754,521,161,606,777,486,432,280,405,760,056,720,209,
545,604,834,130,451,380,932,405,399,981,811,764,708,047,883,309,535,854,786,
256,194,518,886,632,448,570,942,529,479,777,699,107,858,828,791,554,260,572,
540,551,453,362,072,936,101,506,867,884,924,801,255,113,342,231,819,874,747,
545,673,565,493,954,259,283,926,193,161,915,025,421,537,753,565,248,407,815,
760,292,355,465,471,225,427,679,661,305,368,372,422,131,531,109,425,836,622,
910,236,313,346,542,187,704,328,121,930,347,499,245,252,915,055,868,812,073,
689,299,049,245,327,765,142,132,013,674,173,243,816,379,462,206,840,901,883,
291,257,501,722,715,326,862,048,876,836,190,626,467,504,875,779,718,943,642,
222,708,735,608,700,295,025,568,475,676,596,851,534,122,708,869,075,895,141,
541,900,423,462,819,233,771,269,116,932,373,526,033,952,351,621,254,012,021,
398,862,590,786,133,670,643,904,867,624,910,347,696,760,349,863,035,679,625,
774,974,854,729,418,293,937,626,156,444,743,965,888,641,451,599,548,149,669,
494,561,930,822,885,702,485,161,516,426,971,534,591,479,496,329,038,988,173,
257,743,318,275,544,584,304,600,481,248,183,076,276,064,418,042,698,019,766,
841,661,032,868,906,464,720,300,610,689,932,277,970,969,824,891,463,377,159,
152,286,454,198,552,905,295,068,441,679,523,604,842,797,805,914,165,533,387,
173,279,892,375,643,990,380,412,718,725,661,741,300,626,037,224,646,177,892,
101,180,256,540,013,156,817,766,720,197,895,070,803,117,840,089,973,055,101,
097,703,788,544,350,304,712,235,746,399,505,973,226,011,330,546,050,474,815,
924,748,897,647,245,089,679,989,687,684,232,249,650,240,188,451,186,507,993,
292,070,255,146,541,317,533,093,302,042,037,742,975,269,809,795,548,067,184,
153,533,794,297,812,558,949,351,754,066,122,870,775,479,604,564,381,864,359,
041,791,753,475,955,515,590,407,774,511,039,044,493,048,420,661,826,305,021,
066,320,772,669,100,574,800,016,653,636,206,061,282,480,181,938,943,556,598,
084,057,677,058,688,845,448,322,558,079,398,886,297,323,325,685,354,823,642,
033,633,145,469,799,915,280,530,325,388,046,368,473,787,069,686,267,016,735,
593,448,197,802,903,550,043,617,634,452,448,551,009,464,612,489,832,250,386,
975,858,411,838,909,302,257,825,174,509,458,739,440,159,836,834,325,729,394,
342,055,750,770,410,874,495,561,570,174,993,949,258,594,047,855,572,031,999,
229,946,141,115,389,777,774,211,842,273,281,630,720,192,645,959,421,765,628,
821,407,698,414,353,811,903,724,628,315,461,215,675,609,567,099,949,905,399,
289,800,416,114,835,922,822,442,557,769,046,992,877,903,072,549,472,733,128,
516,594,206,753,223,489,753,267,648,814,405,349,697,393,840,079,837,924,628,
787,956,205,710,865,776,105,060,894,007,366,498,159,971,038,085,000,449,280,
615,356,980,454,068,267,873,732,524,632,767,604,357,796,764,078,388,398,021,
838,722,100,533,027,689,668,107,768,923,182,544,043,728,960,169,007,263,744,
060,385,811,389,994,397,047,101,429,067,795,115,046,813,431,732,255,240,806,
638,497,603,302,009,203,343,230,498,672,231,105,053,843,578,065,343,138,483,
502,846,262,714,795,445,768,959,326,325,382,237,961,191,918,904,098,182,469,
561,830,314,465,165,909,394,085,911,484,025,424,449,285,596,466,959,169,351,
597,528,020,660,720,484,746,500,882,756,095,406,261,672,798,682,394,284,985,
294,212,150,577,621,955,786,985,334,761,393,184,179,663,480,769,805,387,992,
378,089,134,945,638,628,262,075,774,518,846,737,535,659,180,758,875,802,867,
400,746,853,116,751,695,724,715,891,731,946,708,712,418,982,684,853,893,879,
399,212,980,590,218,349,001,621,802,675,762,872,250,714,586,289,243,140,704,
912,496,025,502,324,622,236,043,885,215,422,238,171,768,378,955,867,155,318,
342,702,081,405,523,781,092,120,154,198,401,058,263,602,664,269,770,660,834,
644,496,367,777,548,665,993,948,958,729,423,167,823,976,765,841,043,965,892,
681,786,832,996,182,996,489,362,953,072,296,609,694,309,954,680,767,937,091,
870,668,876,384,333,944,205,812,898,234,707,111,403,429,911,183,687,474,586,
821,134,774,018,955,858,307,113,319,841,451,368,743,199,171,861,531,900,453,
114,679,392,019,220,029,826,305,823,953,533,480,874,176,467,544,714,606,469,
826,645,272,570,946,044,312,102,714,249,751,037,589,464,832,597,171,156,591,
380,006,249,429,399,081,639,935,495,175,629,241,075,574,695,207,388,511,075,
916,043,252,401,919,646,909,236,077,787,759,975,199,478,128,581,931,824,470,
555,799,837,991,589,550,683,205,821,092,840,252,619,460,987,646,731,020,708,
034,120,265,930,940,415,736,178,508,718,121,962,670,768,608,717,988,756,493,
578,350,318,075,542,081,692,047,150,991,456,687,268,401,706,646,536,934,145,
147,388,938,038,203,857,376,653,447,246,146,950,187,573,835,554,266,657,875,
455,501,049,647,851,096,998,223,078,824,105,442,811,351,440,953,639,348,417,
340,407,067,839,672,791,934,810,142,185,497,447,481,105,985,974,694,084,273,
223,451,417,095,241,372,735,439,787,060,307,659,100,618,412,788,934,808,218,
277,611,602,725,289,841,377,354,976,320,835,178,588,912,361,638,821,358,771,
239,088,549,013,776,173,153,950,852,597,838,137,173,464,004,355,829,804,103,
004,529,735,799,686,516,453,134,953,978,910,464,410,403,524,705,313,400,332,
436,051,127,567,860,484,660,129,901,661,919,423,548,236,637,333,501,593,670,
125,357,705,448,295,120,223,835,890,430,839,219,109,915,112,729,450,598,885,
189,432,990,885,543,107,063,175,913,968,959,378,233,355,501,915,085,357,480,
997,610,065,891,439,386,690,244,546,942,935,768,249,405,791,617,458,693,581,
017,685,201,646,504,926,937,706,333,853,160,102,862,786,905,139,108,702,851,
487,420,603,236,680,841,042,477,503,987,760,171,311,614,604,192,787,713,770,
249,414,719,651,662,952,153,711,260,897,584,506,948,393,505,297,079,500,135,
688,844,286,324,226,675,122,226,398,984,798,855,474,231,451,483,218,490,958,
332,033,003,176,025,720,553,241,348,340,048,109,010,484,410,534,328,278,302,
915,345,068,073,803,171,750,354,398,487,790,037,904,970,488,269,108,628,452,
211,233,001,145,356,125,126,329,854,644,775,042,066,614,909,480,620,909,692,
256,981,289,561,522,284,589,794,668,818,333,349,990,097,834,797,593,330,307,
992,380,696,351,240,848,891,423,698,197,432,021,139,892,911,551,931,306,565,
983,131,790,843,630,561,062,656,477,705,253,099,993,176,987,000,254,345,329,
654,618,369,578,035,785,965,986,311,761,221,856,443,893,312,631,589,473,386,
423,248,439,316,413,935,685,254,219,459,154,595,123,662,522,007,451,678,233,
846,985,610,285,716,082,516,141,519,137,470,931,100,537,105,310,812,176,947,
317,231,447,988,490,804,271,902,871,695,739,865,137,731,785,986,615,851,928,
665,122,814,324,250,652,832,778,691,766,055,045,470,873,073,561,374,869,859,
079,464,150,582,008,845,404,187,845,434,770,832,446,816,974,946,009,567,017,
258,980,894,354,062,330,885,556,760,629,308,337,004,241,317,231,483,980,106,
337,894,925,609,580,368,886,497,346,287,884,670,658,934,945,535,317,258,992,
321,585,559,121,981,203,327,427,543,346,040,542,689,382,974,895,279,185,542,
470,015,023,664,544,614,356,113,556,441,903,733,831,073,382,264,561,195,784,
254,715,635,946,122,263,073,265,387,989,834,048,545,390,125,245,334,518,021,
899,112,866,389,096,791,540,588,330,609,243,118,083,639,517,880,681,111,509,
582,787,560,067,259,004,486,414,961,803,218,539,046,109,342,531,806,826,413,
941,510,060,856,175,774,647,338,907,997,523,050,989,751,401,576,939,822,935,
915,378,043,346,579,485,990,844,463,965,338,245,928,052,836,882,349,212,255,
328,928,153,628,722,333,581,238,191,387,154,196,113,662,581,700,345,701,664,
179,100,628,755,498,211,300,859,187,386,843,619,001,178,639,805,444,591,876,
413,873,055,596,616,953,485,398,883,099,023,574,233,527,258,735,796,247,900,
099,764,727,021,661,021,520,981,082,432,544,000,769,833,844,558,470,789,304,
947,701,595,539,734,703,693,537,663,804,454,715,930,552,536,185,429,738,499,
474,559,477,828,729,466,791,057,166,277,702,497,759,169,492,103,591,597,759,
306,676,841,940,276,626,808,381,173,607,217,286,724,954,222,033,705,180,932,
626,808,094,558,536,920,570,636,679,515,555,899,019,392,120,105,080,641,654,
769,132,949,714,311,680,515,604,166,035,128,282,953,345,926,494,012,045,869,
041,490,728,615,980,063,933,507,381,020,043,093,412,835,916,736,304,708,809,
154,263,687,835,762,084,222,121,344,934,612,447,790,631,561,819,243,282,052,
217,421,511,742,961,770,329,362,438,823,562,889,840,857,317,923,781,061,308,
444,254,734,502,604,146,133,551,933,561,438,789,963,270,966,518,260,917,803,
055,182,795,226,794,408,784,383,528,980,420,872,431,940,366,106,559,549,772,
290,485,575,152,526,664,899,139,366,021,153,602,967,760,495,180,761,969,485,
954,319,734,523,587,848,918,052,764,300,807,311,514,692,624,605,406,536,064,
496,874,613,541,515,725,094,354,748,831,593,614,164,926,982,501,254,888,377,
874,941,360,007,717,513,351,025,289,247,427,888,711,371,744,991,837,758,256,
643,630,021,742,460,419,148,900,081,740,350,967,170,168,603,909,688,242,194,
496,591,592,145,719,276,229,379,981,519,083,280,642,471,119,314,025,873,091,
983,022,181,480,627,649,023,778,120,324,966,223,196,983,871,557,526,057,277,
126,393,745,668,244,464,595,354,205,277,813,184,816,056,595,013,111,500,155,
825,014,174,611,534,105,368,622,640,278,768,370,703,491,134,606,573,095,848,
933,351,577,160,717,391,899,883,080,048,081,704,222,867,078,289,390,303,354,
243,822,617,435,192,140,852,122,509,310,138,139,377,821,350,069,888,743,148,
653,889,628,864,112,441,628,014,812,524,974,386,436,604,882,652,446,321,039,
822,545,254,052,301,747,435,955,262,697,694,790,820,495,926,623,384,640,212,
951,942,135,060,235,468,190,175,712,578,300,138,296,957,486,143,259,147,228,
801,448,079,603,857,481,493,055,048,850,242,658,243,844,325,067,763,378,258,
781,116,852,553,113,652,407,206,076,348,232,715,997,675,196,606,544,150,110,
430,604,023,227,807,753,710,895,978,666,321,603,826,844,078,624,737,703,687,
535,943,286,704,282,701,863,081,606,121,359,295,429,188,552,509,531,719,031,
917,253,096,779,467,192,596,220,386,429,181,289,129,285,821,751,531,690,610,
838,745,707,400,220,200,653,385,957,499,519,428,077,754,943,532,020,991,819,
799,852,433,368,636,357,478,476,549,962,390,101,328,738,387,100,465,833,169,
283,056,341,594,410,195,883,374,384,695,052,223,631,904,492,766,886,138,253,
014,376,395,822,873,822,034,217,792,619,732,777,067,033,657,507,735,238,086,
183,968,411,864,860,676,571,015,736,475,496,633,975,784,940,206,101,269,558,
639,506,445,984,229,956,279,706,954,203,342,732,212,704,785,113,803,714,369,
017,992,567,662,151,699,738,653,183,923,480,187,574,945,755,002,479,742,661,
357,159,846,720,136,751,905,341,717,467,517,456,097,567,238,025,953,005,627,
651,732,306,290,266,022,018,070,888,888,458,056,328,368,707,575,715,186,197,
729,355,538,610,118,808,275,797,412,131,979,897,942,024,130,165,957,468,132,
201,997,868,585,355,812,652,294,507,959,843,982,869,574,961,479,716,690,768,
888,677,585,113,773,212,045,672,565,180,963,166,557,764,012,713,382,851,165,
942,684,406,179,189,423,136,946,331,871,598,948,702,925,259,598,526,133,150,
073,500,088,037,284,144,940,538,484,532,916,119,677,801,828,381,896,851,361,
704,924,221,710,397,289,200,516,902,462,153,489,637,688,425,785,693,486,675,
938,152,497,664,126,185,116,134,871,597,100,642,281,682,941,923,380,530,471,
765,038,535,972,857,528,572,011,430,558,713,623,976,187,682,165,751,222,411,
751,146,354,839,864,086,301,567,096,228,083,036,199,242,162,458,122,903,135,
804,253,280,641,289,460,255,181,730,210,342,881,844,554,768,836,347,868,703,
315,195,099,996,565,057,842,432,102,119,513,488,330,947,728,272,394,503,017,
708,042,167,508,379,411,862,356,068,852,960,572,193,931,745,318,614,426,629,
848,744,486,953,814,536,225,768,369,404,247,617,884,008,940,270,239,347,951,
325,155,144,413,421,569,966,521,101,236,902,237,343,657,807,921,061,255,719,
230,084,918,667,793,494,715,656,307,445,812,937,746,595,882,060,017,735,116,
750,559,391,785,072,531,671,615,555,153,093,951,430,977,322,125,503,932,586,
695,195,447,872,902,024,220,167,907,807,299,616,340,441,478,107,078,726,630,
596,848,769,816,521,286,431,250,574,734,993,093,986,361,057,583,244,131,660,
667,813,145,080,400,852,526,215,136,054,802,253,370,587,045,851,864,582,914,
664,372,967,407,746,249,476,698,887,187,685,985,348,998,947,254,967,511,226,
043,115,333,573,239,027,162,067,633,412,847,381,994,760,225,287,762,617,156,
946,975,466,502,267,152,687,331,645,825,857,814,504,703,027,765,216,065,762,
081,596,423,965,788,508,971,307,014,641,686,799,438,867,344,028,652,309,496,
955,422,651,699,225,341,019,878,809,167,684,944,751,792,879,438,592,308,908,
115,563,525,047,546,778,100,315,536,832,567,971,343,426,517,154,799,387,620,
443,594,414,543,624,702,529,084,459,031,916,951,947,133,665,368,189,416,149,
194,742,887,861,926,657,292,930,510,413,468,003,664,015,077,859,284,836,083,
656,179,115,533,023,108,409,540,089,304,133,925,390,802,100,282,467,107,916,
079,959,038,960,968,121,589,871,139,237,319,622,751,896,494,642,051,925,670,
768,066,584,894,945,619,896,082,473,714,176,423,559,998,223,763,553,399,403,
716,195,697,629,387,466,699,033,526,876,740,906,561,759,576,968,526,435,855,
322,273,156,668,163,514,648,285,714,605,292,129,195,849,789,934,351,898,957,
322,507,861,395,011,549,675,115,085,346,785,214,065,984,058,983,662,256,048,
367,937,201,522,471,454,051,686,386,438,379,143,168,647,890,588,908,102,126,
495,149,031,910,872,573,118,234,596,394,004,166,005,185,477,816,400,831,479,
837,004,851,221,950,689,607,326,091,473,180,477,808,777,112,699,743,153,805,
694,977,485,969,287,500,669,273,711,534,823,289,087,419,015,008,636,241,845,
039,578,827,328,763,637,600,707,999,110,242,796,199,516,446,517,672,432,701,
149,547,755,693,859,776,226,750,477,136,722,668,499,856,697,546,898,257,774,
377,297,271,163,342,274,733,809,281,048,834,997,425,215,610,811,306,312,707,
283,126,798,527,818,808,342,524,750,676,934,523,804,846,276,532,927,356,128,
427,207,653,002,846,975,344,388,281,822,207,345,722,601,804,853,039,892,369,
275,351,195,624,749,128,362,912,317,608,254,679,431,712,725,390,321,876,142,
349,722,047,446,222,945,449,546,183,596,738,825,788,594,295,586,293,399,871,
044,248,043,179,296,648,680,412,511,110,010,753,167,249,953,745,621,329,516,
184,444,313,643,993,106,963,565,700,201,074,834,599,589,604,266,810,777,709,
432,044,148,107,636,627,188,527,597,617,317,965,313,055,846,088,417,209,219,
528,110,031,758,608,205,279,954,548,369,088,248,905,656,775,585,755,526,209,
618,368,731,944,199,126,798,404,467,455,919,995,205,206,773,137,007,793,214,
068,953,418,301,863,367,220,281,404,640,417,467,929,826,719,909,983,994,553,
520,765,518,101,818,197,090,017,137,479,182,846,901,511,049,588,132,204,140,
640,645,622,417,738,418,000,458,004,004,944,151,015,496,200,406,978,374,070,
369,974,810,531,333,993,131,453,325,612,459,260,665,775,095,889,433,840,641,
082,983,200,086,515,563,002,509,247,074,425,656,106,023,626,372,563,071,287,
374,197,924,622,386,032,836,374,375,533,088,832,818,574,031,903,069,177,052,
998,260,475,925,187,180,050,000,615,009,074,622,354,980,714,320,024,348,509,
182,597,460,932,171,353,848,422,795,286,419,694,048,654,234,440,345,081,463,
511,682,613,650,246,916,388,179,722,918,644,930,634,046,833,000,030,715,099,
429,153,791,636,559,400,124,314,623,059,956,948,091,146,218,525,049,381,869,
215,216,612,950,144,745,186,826,814,078,898,813,702,255,892,155,921,906,336,
531,924,364,924,845,817,558,392,003,711,945,671,937,148,962,024,554,093,345,
909,681,733,501,104,266,821,961,702,994,190,322,664,955,899,406,735,738,984,
732,076,046,514,546,763,734,776,591,050,943,223,194,450,892,769,717,685,889,
015,320,786,978,341,661,856,470,765,275,877,434,887,840,846,760,205,776,899,
712,457,624,393,605,496,579,499,950,858,941,290,108,146,378,028,432,582,741,
481,476,585,166,404,856,788,915,030,114,335,998,665,523,730,253,536,693,953,
750,082,690,720,230,085,826,008,687,101,451,478,951,610,379,341,772,605,090,
343,814,534,451,789,746,385,919,980,902,535,611,526,165,117,062,666,654,949,
572,523,113,726,951,184,518,586,832,182,033,183,145,571,656,400,037,171,104,
459,021,279,174,362,729,396,454,201,593,054,770,064,323,528,218,295,924,862,
486,229,113,327,620,821,183,660,277,836,158,411,198,917,362,167,255,523,435,
062,432,839,610,922,145,286,452,713,976,708,589,560,581,860,637,569,122,334,
876,701,989,163,665,459,038,905,980,822,122,045,223,212,677,643,075,243,250,
297,990,141,429,786,014,423,016,750,880,846,163,975,754,617,043,834,895,588,
735,648,948,840,951,319,870,661,042,244,134,671,371,932,677,192,081,498,183,
218,379,271,419,470,012,830,428,842,261,076,826,242,468,879,178,886,676,171,
155,172,807,002,098,578,379,057,697,019,921,166,816,427,320,501,593,004,342,
971,823,189,908,512,300,491,241,897,584,713,502,398,741,377,469,184,039,196,
885,076,913,371,002,083,756,361,007,773,100,232,081,878,701,023,282,403,683,
964,571,477,705,172,233,617,248,191,022,103,958,772,372,728,063,625,449,406,
605,203,059,332,088,717,834,519,506,344,631,299,386,800,816,887,013,055,078,
037,948,919,275,618,286,433,871,590,013,564,101,431,866,114,650,251,728,483,
563,013,430,412,560,810,115,993,161,562,886,652,964,520,646,985,621,206,466,
480,420,490,320,720,990,332,494,921,786,119,440,106,246,693,208,155,332,042,
623,421,251,570,808,443,690,831,983,566,620,053,803,511,577,278,310,186,571,
174,414,743,865,790,900,917,706,587,609,572,731,425,054,127,006,214,613,809,
907,286,436,439,833,485,206,196,135,311,189,384,192,597,776,163,309,630,862,
076,503,175,449,888,955,480,876,798,581,733,516,500,051,769,223,960,631,275,
060,414,247,024,700,156,088,948,295,259,833,331,267,275,148,453,505,820,149,
267,503,725,034,290,938,204,826,273,647,564,384,688,281,110,991,579,455,868,
050,593,827,906,456,526,740,218,749,069,322,419,494,471,759,393,499,578,939,
747,563,314,162,642,209,367,867,822,394,721,997,234,354,670,390,366,110,356,
034,215,524,916,532,725,309,253,919,373,647,504,050,445,627,562,705,783,340,
272,509,277,210,200,918,810,154,587,383,646,640,333,147,561,033,968,232,788,
972,797,247,130,759,644,187,181,803,059,772,516,418,304,356,480,200,851,131,
667,320,352,496,689,468,291,092,220,510,843,191,948,808,591,371,512,881,794,
572,556,052,630,221,759,513,792,854,772,350,621,703,015,975,921,163,511,406,
660,162,124,972,005,133,721,955,202,212,658,539,337,729,649,212,573,729,344,
636,037,050,164,662,271,438,063,270,121,342,074,930,160,762,925,871,973,610,
637,986,792,342,678,157,722,487,993,777,571,698,625,575,443,227,343,801,529,
176,512,813,688,583,815,719,305,781,906,169,640,179,951,967,186,930,655,087,
817,179,601,799,048,921,898,967,757,573,488,215,455,319,674,227,710,696,101,
501,396,284,401,106,884,629,771,213,475,415,292,272,505,800,918,315,979,955,
091,664,176,749,881,720,432,851,195,667,691,498,565,231,944,630,407,676,497,
361,451,667,004,265,103,953,212,774,211,785,028,152,049,940,180,625,622,685,
268,727,977,491,740,206,194,898,025,620,841,584,909,500,356,316,900,068,869,
667,813,836,248,852,464,390,776,800,783,499,327,511,788,230,357,511,429,368,
754,435,716,928,647,423,835,536,091,914,469,464,200,129,541,426,825,563,880,
994,767,630,255,048,963,463,805,310,250,044,462,772,010,409,724,260,973,978,
401,307,870,584,373,200,653,433,861,074,135,601,220,202,478,202,198,014,825,
586,782,864,704,417,291,998,092,127,304,567,657,399,339,933,799,082,428,823,
108,995,747,120,167,478,369,213,505,468,414,610,093,007,185,061,088,116,154,
445,061,946,303,168,704,831,736,688,268,244,775,398,684,728,042,577,887,059,
337,783,555,906,614,396,516,986,884,989,153,883,099,779,755,354,966,178,419,
242,173,816,488,368,719,742,188,330,207,449,423,784,790,194,719,119,300,780,
360,647,318,804,863,152,945,585,706,091,287,322,603,224,026,611,962,418,490,
173,533,097,596,912,015,729,095,414,473,813,655,425,880,409,427,979,202,945,
141,779,370,824,942,577,331,232,043,205,280,227,318,473,635,640,030,762,411,
614,979,861,228,406,388,573,282,947,599,247,306,102,518,218,363,283,300,197,
156,518,130,873,376,545,149,228,062,898,545,311,412,197,770,892,592,735,191,
042,596,999,593,626,846,377,988,153,619,846,589,588,995,321,700,393,761,949,
989,522,663,252,857,044,723,590,558,803,029,487,620,001,558,514,412,826,656,
392,230,356,058,855,095,041,138,313,769,003,231,186,499,494,827,575,275,845,
375,710,511,226,906,264,852,737,811,288,307,768,704,633,586,354,634,343,662,
636,797,162,224,364,613,638,796,272,084,742,509,234,558,534,462,803,234,490,
403,529,753,326,724,991,148,858,591,086,468,451,761,779,480,791,482,539,765,
886,232,422,331,239,225,602,935,300,384,418,873,032,401,909,080,458,310,272,
276,436,935,211,226,189,715,951,136,676,062,824,370,811,497,964,210,178,756,
899,762,119,693,797,601,075,917,496,728,517,213,350,592,622,814,579,237,163,
267,325,174,843,438,141,445,815,522,486,342,993,237,006,668,790,840,724,386,
537,124,155,728,784,570,960,261,657,663,450,097,716,969,474,430,270,341,715,
323,467,298,704,063,629,948,079,276,531,315,235,796,182,985,642,176,066,501,
175,498,239,258,765,954,364,378,173,037,922,695,057,582,846,184,981,643,482,
240,581,895,294,159,704,661,407,130,565,155,318,574,101,828,368,257,048,602,
297,471,680,464,929,164,046,260,368,892,069,461,137,297,550,010,901,068,460,
932,276,234,219,538,847,301,617,130,360,982,682,222,155,480,797,099,787,868,
505,078,691,714,846,377,226,061,471,808,088,608,495,374,002,493,504,096,083,
596,002,147,514,625,659,390,323,521,674,144,964,302,455,202,061,347,042,570,
494,575,339,121,389,959,933,095,390,669,398,509,776,943,134,842,739,524,103,
520,772,817,427,004,329,068,485,092,866,744,049,516,287,405,210,989,234,622,
242,517,236,562,337,780,316,056,758,994,730,810,193,962,611,763,492,834,100,
999,829,936,510,275,719,071,296,950,548,564,215,221,275,665,724,438,671,085,
152,593,758,927,792,943,714,881,504,306,081,842,488,333,840,984,525,431,402,
912,323,718,413,970,003,310,406,213,699,839,813,283,875,848,169,923,806,078,
308,036,043,192,699,070,829,971,346,908,312,566,461,112,200,140,612,984,885,
191,175,198,240,657,052,819,286,172,452,818,465,898,465,884,830,760,783,122,
416,954,887,965,456,189,065,252,333,315,960,703,251,310,385,285,556,633,718,
320,948,320,461,030,820,935,464,393,406,399,423,020,273,946,492,723,885,691,
957,627,513,986,355,708,414,623,948,227,194,539,616,608,709,017,351,863,590,
083,025,435,812,265,592,161,532,448,813,023,789,635,614,422,782,577,072,366,
893,718,462,719,848,720,965,919,496,090,255,475,597,492,701,270,313,591,643,
629,912,368,309,660,019,725,062,837,663,541,922,996,499,754,365,910,163,676,
734,667,846,831,413,571,089,441,718,215,239,011,511,122,082,668,705,277,063,
723,028,060,582,850,857,140,836,904,316,932,428,232,411,423,510,306,487,219,
152,087,718,400,327,717,091,100,556,903,990,136,507,987,245,514,289,266,214,
856,592,279,535,435,508,815,766,524,397,767,531,652,799,165,770,964,975,363,
470,829,431,720,642,024,669,377,529,867,225,553,720,993,407,265,492,652,239,
917,770,025,170,915,483,405,322,350,172,328,362,826,416,849,468,230,523,242,
657,857,623,003,916,267,120,082,016,253,622,053,214,206,216,531,828,798,209,
266,708,882,874,334,097,029,866,374,683,905,346,780,136,598,788,118,882,313,
316,898,571,565,843,065,299,008,684,463,065,050,945,933,368,245,814,084,250,
174,179,327,831,997,610,763,666,197,257,599,308,897,648,370,623,223,278,646,
021,261,280,190,850,283,398,099,457,695,670,798,997,382,437,345,579,510,543,
071,234,245,270,598,104,526,848,225,878,098,164,508,042,753,457,533,573,403,
213,717,181,292,636,747,792,559,232,779,414,726,643,170,366,868,869,766,946,
252,597,650,226,028,432,151,755,793,091,813,202,910,226,470,654,209,462,279,
242,529,785,463,940,569,101,937,893,308,297,709,219,239,577,641,874,301,472,
143,134,515,334,394,015,734,048,783,794,851,668,038,175,795,252,215,997,021,
379,768,713,583,777,043,957,424,797,356,351,604,449,401,818,107,414,111,865,
851,238,477,929,467,222,214,581,304,199,926,449,951,802,861,497,690,842,950,
437,759,248,344,068,234,188,958,055,957,206,241,270,810,975,120,369,337,867,
768,384,174,402,727,591,873,067,013,717,181,307,991,781,678,431,217,668,843,
148,315,985,574,017,741,434,160,229,110,898,650,785,999,948,553,770,871,608,
399,036,359,126,998,157,101,369,012,132,833,209,627,065,221,772,155,484,819,
014,664,733,306,769,737,914,937,733,349,818,650,602,532,853,013,793,713,227,
067,130,447,713,935,712,934,845,249,393,904,643,491,139,966,290,084,679,118,
561,394,431,611,364,076,806,792,795,985,049,809,106,670,101,874,842,250,693,
542,707,544,703,995,824,108,378,215,875,661,539,222,269,755,703,613,191,733,
719,414,233,789,757,024,369,229,100,922,695,009,411,976,695,899,710,984,791,
805,648,455,000,245,268,657,797,458,458,565,299,345,903,769,417,549,977,439,
684,897,364,338,124,058,226,588,261,550,911,829,904,323,522,373,512,906,176,
548,270,845,099,374,174,805,996,799,622,474,962,478,576,727,319,270,774,129,
189,163,085,084,475,604,170,778,950,862,884,641,913,767,596,416,431,049,218,
169,069,785,358,502,330,901,874,364,247,087,152,122,807,671,175,172,434,239,
504,625,812,722,495,026,610,636,545,785,658,572,431,840,909,873,937,303,241,
852,513,260,920,855,522,257,409,975,657,241,079,479,608,087,593,566,454,386,
199,408,413,486,619,135,984,578,656,074,933,495,111,309,649,239,674,609,361,
360,121,857,757,938,272,223,647,998,985,331,319,901,271,504,433,248,217,556,
738,120,443,530,521,241,889,855,859,155,308,554,184,764,236,817,908,836,316,
162,712,474,516,061,966,233,602,410,196,128,697,027,945,843,977,020,579,549,
704,019,754,218,358,445,905,134,233,181,707,182,569,065,701,869,477,189,331,
584,539,239,380,732,838,795,818,105,653,829,417,354,101,888,245,170,789,779,
495,992,837,017,451,792,990,900,684,719,332,929,591,060,658,514,878,038,928,
495,429,062,291,452,697,442,228,682,686,477,860,034,229,285,691,356,939,941,
163,848,725,562,436,086,010,726,578,420,466,807,379,276,290,494,249,859,894,
451,473,348,350,419,933,527,831,142,263,115,726,734,315,705,740,534,276,676,
667,258,371,401,168,091,876,542,325,903,772,964,859,184,026,114,292,841,431,
139,724,426,790,655,122,520,060,332,823,598,670,696,634,404,630,514,366,069,
318,668,193,153,837,161,250,588,732,639,089,491,121,396,630,030,566,767,172,
643,999,185,516,010,680,575,471,602,012,104,489,944,221,516,471,916,743,641,
069,055,260,351,431,130,999,411,717,233,689,630,671,706,583,854,215,307,740,
726,409,893,444,706,224,544,683,793,409,820,188,434,327,164,943,535,824,249,
277,827,175,851,904,768,566,079,012,075,659,058,211,399,985,122,681,626,262,
879,675,723,000,486,148,803,904,379,091,928,292,018,209,094,479,195,435,772,
608,474,376,714,675,579,600,038,439,334,661,473,418,450,769,662,314,891,130,
882,280,691,394,768,766,941,688,859,218,666,465,995,974,397,459,156,636,836,
546,375,776,289,047,685,347,629,568,909,242,666,943,711,535,927,875,044,776,
136,572,086,806,754,660,525,821,881,221,797,610,612,456,872,146,657,878,985,
924,093,470,351,415,033,494,352,229,458,505,400,853,215,767,366,382,538,656,
719,440,516,665,062,833,044,310,050,205,560,078,114,434,518,926,570,796,952,
599,100,389,586,068,665,664,064,373,780,925,728,326,189,100,970,712,030,312,
710,766,921,768,292,088,864,591,621,813,394,582,126,728,554,126,611,229,702,
509,429,799,767,056,755,202,123,289,189,976,029,450,354,522,081,917,227,676,
305,966,631,495,031,158,051,795,735,871,949,096,112,367,582,252,501,269,456,
723,136,546,393,862,305,534,133,581,096,074,409,517,109,284,045,338,062,527,
953,085,544,627,795,701,475,193,623,987,971,490,458,761,977,702,018,976,474,
306,572,866,782,110,269,005,888,789,220,341,096,014,598,938,885,488,079,836,
510,889,625,730,192,906,381,012,647,386,871,043,938,604,575,870,203,056,815,
475,799,155,239,606,012,156,750,126,624,223,303,656,559,836,079,762,969,880,
939,564,439,920,560,711,176,877,973,428,169,225,858,305,375,249,841,443,316,
751,766,946,774,991,506,078,731,405,678,156,381,329,811,785,290,298,731,915,
236,061,543,707,601,619,115,836,490,372,640,272,827,265,613,863,719,925,871,
569,651,021,227,202,675,168,896,286,760,570,301,546,436,103,314,206,361,339,
477,895,928,176,062,457,182,438,593,751,003,753,577,129,680,064,893,868,019,
084,912,219,176,701,990,164,372,376,221,609,960,005,216,699,810,717,099,857,
000,522,987,212,553,180,196,515,601,535,063,083,270,944,598,892,203,231,895,
141,671,874,814,495,836,521,507,932,101,500,956,088,401,344,705,917,570,328,
197,093,223,274,424,092,205,141,021,672,159,122,882,408,999,312,512,249,785,
854,652,377,480,005,957,128,276,138,802,634,832,119,118,996,390,640,145,305,
986,489,548,239,152,987,871,492,877,061,762,262,377,088,489,125,885,120,777,
693,448,569,105,999,246,452,473,733,127,085,516,568,925,863,189,720,268,996,
654,583,940,287,929,093,124,678,188,537,486,660,604,668,867,260,320,493,686,
214,768,239,628,061,848,140,958,066,973,607,905,702,320,491,483,750,199,190,
146,976,781,010,414,825,538,698,331,711,755,523,719,190,022,471,418,958,145,
022,584,874,392,938,006,167,778,556,475,789,768,806,234,526,660,649,929,548,
534,999,643,304,303,021,226,692,502,534,116,189,835,601,303,291,713,341,835,
459,478,047,809,111,884,549,220,750,009,196,074,142,133,259,166,824,571,065,
459,297,838,747,376,550,783,904,929,984,529,568,324,341,271,412,423,031,240,
997,683,982,214,197,928,994,560,546,378,397,500,905,022,704,024,795,023,435,
653,257,453,658,016,983,215,611,595,777,355,639,243,836,035,602,353,923,737,
008,109,282,214,697,470,478,865,879,863,500,637,374,517,833,546,637,331,519,
868,296,256,607,595,059,747,600,597,641,600,129,734,275,091,767,426,024,708,
722,120,586,803,628,263,135,895,743,595,160,556,722,180,138,647,780,266,644,
164,889,694,314,193,776,361,230,317,937,764,052,164,790,744,898,856,342,567,
908,451,838,522,275,189,143,879,851,406,659,249,118,334,817,663,250,494,481,
979,776,923,759,683,257,025,608,720,440,075,788,412,983,166,630,940,295,510,
967,154,504,751,764,256,647,871,601,082,119,604,845,380,391,382,024,744,793,
677,314,299,357,162,488,876,058,527,470,941,560,388,373,719,515,870,615,965,
591,714,905,169,024,049,938,583,660,418,725,336,161,139,728,184,315,699,002,
294,202,361,013,796,196,121,534,678,444,610,538,254,190,981,448,282,776,062,
059,893,040,907,438,153,740,980,306,541,906,375,302,643,641,745,822,298,867,
485,270,273,956,972,864,346,046,451,093,189,839,683,551,132,262,895,072,530,
974,537,356,799,614,594,055,044,730,848,679,245,872,512,976,424,580,322,302,
874,095,377,978,490,065,654,217,600,140,624,872,586,117,544,206,665,053,380,
903,784,202,289,076,000,985,945,493,729,519,126,935,205,452,297,256,272,673,
613,287,108,463,490,413,476,104,792,900,515,754,203,376,625,240,036,156,119,
931,759,450,154,267,835,162,264,465,052,286,187,908,335,808,699,847,287,786,
563,899,108,713,271,134,166,748,712,728,289,655,360,096,901,653,623,590,173,
660,388,316,314,698,951,577,862,013,815,537,353,142,044,002,058,245,142,016,
880,673,730,247,583,545,016,237,854,773,107,792,293,527,994,381,714,019,530,
191,671,054,796,624,512,446,278,265,112,903,841,264,678,830,826,329,804,732,
646,702,480,406,169,608,568,465,168,772,968,851,704,127,408,773,858,076,357,
016,826,321,441,515,797,941,547,865,081,680,639,354,937,354,656,418,792,307,
632,348,669,726,092,946,249,006,157,745,195,781,877,042,012,829,059,525,157,
256,565,106,251,209,084,815,775,578,213,547,450,250,667,898,208,884,416,099,
527,777,788,863,364,866,029,472,071,196,016,927,770,304,172,044,588,531,201,
944,577,506,248,236,125,065,431,158,258,787,934,631,629,277,942,288,659,403,
354,977,029,671,366,577,095,495,030,469,331,949,224,208,501,580,704,403,488,
688,524,882,752,000,270,855,310,968,689,360,862,748,372,092,876,565,922,757,
279,354,586,423,378,749,229,829,430,551,408,105,923,186,442,163,799,236,530,
462,443,195,982,197,657,248,122,942,621,178,451,474,294,820,840,659,582,651,
405,779,206,302,200,042,503,700,583,084,819,116,120,102,669,390,296,226,094,
908,898,828,828,057,427,690,817,697,744,207,124,203,919,065,256,169,216,412,
283,289,121,342,498,754,276,531,157,303,762,345,169,061,177,725,860,437,399,
468,812,733,025,062,326,908,215,970,106,232,747,863,583,867,618,781,658,370,
603,007,822,882,686,134,240,839,161,874,422,619,877,083,331,455,893,456,779,
808,558,870,235,288,029,514,291,305,972,099,226,350,094,997,463,285,602,293,
535,443,731,113,912,003,068,511,523,757,126,180,228,004,051,402,326,763,770,
512,868,784,274,567,484,001,791,060,694,914,281,937,663,156,945,497,778,387,
955,434,650,853,494,961,164,532,284,862,870,899,945,079,984,537,126,623,499,
346,638,409,925,229,835,248,018,464,237,623,040,439,356,935,537,733,990,963,
502,585,414,937,206,108,992,575,958,946,917,354,795,639,130,710,700,034,118,
974,254,411,428,642,343,863,602,054,303,389,102,675,263,613,650,926,285,021,
887,517,364,662,211,002,744,722,005,580,956,283,277,817,099,159,707,499,070,
984,046,331,094,774,852,617,942,840,164,989,500,184,537,225,747,010,241,237,
100,956,775,928,589,009,612,136,760,956,419,042,950,710,758,767,305,853,265,
882,872,802,855,710,394,005,183,163,268,426,321,326,843,577,016,319,898,684,
475,725,679,658,075,571,764,727,465,881,714,545,863,673,829,751,131,515,571,
957,387,409,425,329,088,907,150,269,755,134,142,493,690,231,776,513,287,510,
031,834,517,791,968,248,450,719,436,642,362,837,095,304,584,550,081,154,791,
781,518,225,674,270,267,034,523,772,294,718,679,476,684,836,926,031,667,414,
300,310,537,088,463,425,949,033,211,242,709,111,830,174,890,367,344,375,545,
778,903,706,453,407,883,123,325,320,792,086,137,234,167,274,700,926,491,866,
752,634,641,667,642,576,953,845,783,583,766,435,215,671,775,817,012,476,592,
813,337,688,610,472,100,277,720,405,421,515,399,350,158,337,082,821,368,950,
093,319,926,988,559,922,554,666,781,040,795,208,061,866,581,807,605,763,768,
588,444,421,277,389,781,209,970,559,062,726,920,909,405,960,402,522,482,847,
343,889,203,215,343,590,922,633,979,866,577,700,463,256,290,230,037,728,747,
052,211,901,324,895,277,478,023,521,068,033,901,399,970,320,786,687,872,739,
395,416,825,527,401,806,148,469,345,717,672,333,184,074,810,562,674,853,348,
350,173,161,245,015,704,761,238,577,992,328,410,301,159,220,657,966,488,755,
168,040,503,692,879,571,572,147,422,055,114,641,288,498,551,606,873,046,534,
327,064,443,341,992,505,479,386,794,957,122,287,996,774,404,641,224,506,466,
968,380,172,975,759,811,292,327,587,784,848,308,162,318,843,640,091,329,037,
761,576,560,829,611,526,515,566,495,375,406,038,756,495,079,853,518,210,120,
199,697,265,016,767,422,680,907,360,312,729,259,183,494,890,340,785,332,019,
951,707,193,510,814,150,981,753,041,481,975,767,080,995,777,308,543,938,086,
450,602,305,642,062,851,682,670,488,763,344,699,373,029,556,315,644,554,060,
548,390,291,065,912,103,236,263,166,332,670,857,660,238,794,799,032,331,637,
936,292,146,274,099,194,621,062,773,916,737,766,427,654,925,200,429,092,909,
918,710,832,505,667,045,814,679,265,933,672,752,646,405,083,849,156,347,862,
997,263,572,613,735,823,797,564,473,136,525,575,806,710,368,322,547,253,607,
256,253,212,501,777,349,193,690,558,049,246,030,082,418,117,101,611,294,387,
678,723,030,604,560,599,768,656,912,399,422,101,275,172,023,311,221,086,356,
246,772,532,875,982,703,690,441,934,828,463,865,381,394,063,012,205,474,997,
892,410,227,354,657,081,398,151,542,244,076,409,223,655,110,678,929,588,377,
593,074,486,515,026,763,557,233,816,462,673,007,747,114,583,932,757,979,715,
973,645,886,372,412,224,328,510,689,146,139,280,424,914,531,117,134,330,550,
053,165,328,287,254,664,825,380,819,959,282,463,238,310,367,858,738,464,186,
275,271,551,927,645,602,346,019,927,535,062,524,095,169,864,071,598,770,364,
587,319,331,178,030,579,875,508,223,532,688,737,080,934,018,927,821,247,401,
910,268,449,813,109,538,803,433,900,981,188,167,873,468,379,152,136,090,190,
487,350,153,632,781,447,883,373,764,383,211,643,816,662,992,457,999,175,573,
077,729,049,191,884,140,423,128,266,352,198,347,024,767,173,504,698,504,675,
760,587,359,328,564,270,179,627,353,392,649,984,456,298,270,493,896,761,100,
848,253,664,908,486,259,306,958,592,854,608,666,350,716,733,887,623,906,924,
810,279,366,660,724,420,068,234,845,951,042,800,997,698,832,689,547,761,874,
875,064,463,090,370,077,063,487,140,636,843,018,422,970,319,589,201,851,485,
110,711,660,390,877,979,504,937,193,985,746,747,309,807,734,337,909,462,501,
615,330,629,901,067,641,795,946,046,737,874,394,399,820,275,453,840,954,450,
433,573,123,856,976,699,605,276,766,980,537,834,956,368,602,321,427,460,458,
412,795,714,868,977,827,354,515,068,389,512,981,695,188,448,464,990,763,239,
975,343,095,347,432,964,232,058,563,291,062,975,136,036,261,818,476,179,262,
503,314,639,524,989,150,221,934,208,283,229,771,821,222,026,957,065,855,097,
664,816,270,366,363,394,035,391,601,392,966,001,860,212,694,784,001,899,066,
421,799,324,843,013,698,724,449,563,128,114,075,557,805,760,475,475,028,543,
884,543,029,482,029,034,535,870,810,818,597,000,511,075,815,295,437,835,008,
570,672,152,617,224,318,455,310,355,278,778,481,864,966,334,552,068,049,520,
027,090,576,460,302,330,298,415,195,952,529,865,006,794,809,454,684,442,824,
943,045,001,674,011,843,622,034,526,273,603,226,954,176,857,418,708,750,707,
058,185,526,237,521,951,418,289,950,853,830,974,161,372,872,240,702,293,159,
924,332,397,811,355,187,753,384,907,979,004,146,771,649,672,479,556,510,905,
191,104,275,643,977,818,498,165,288,954,724,385,572,120,840,112,481,636,709,
249,176,556,813,476,650,890,877,397,897,777,433,067,524,142,171,827,191,038,
080,228,058,090,286,322,908,572,065,598,326,313,254,855,737,851,412,688,420,
059,956,489,826,560,258,441,246,551,644,651,063,493,182,672,933,719,330,841,
329,891,270,719,089,262,535,375,536,078,294,394,472,265,402,593,329,248,175,
132,510,653,887,203,538,796,835,601,133,993,164,742,870,566,976,563,923,888,
638,820,545,068,013,595,629,607,664,213,756,374,999,705,358,041,519,052,192,
758,995,285,094,571,480,490,296,240,631,064,947,482,077,763,557,218,878,358,
450,836,840,301,897,568,072,445,274,085,030,266,027,526,502,473,144,733,999,
299,294,470,061,281,383,812,403,113,355,598,128,128,012,314,743,829,560,564,
228,282,856,252,486,918,982,374,171,903,723,311,910,678,409,218,590,486,048,
998,469,372,969,759,810,314,712,368,206,208,743,474,263,222,400,125,724,624,
934,089,727,499,102,551,284,324,001,629,644,081,778,427,167,006,958,302,873,
547,033,014,465,967,758,975,413,321,377,559,752,034,968,625,697,788,107,015,
325,247,557,137,669,205,030,800,544,296,244,038,666,833,663,208,527,995,706,
714,079,883,016,978,295,295,807,244,006,169,162,253,204,592,932,881,800,847,
627,680,217,676,753,527,930,032,679,827,410,907,418,507,784,308,398,851,150,
282,430,286,207,072,753,673,912,566,112,308,268,104,149,192,966,904,515,432,
432,119,930,978,293,497,798,578,799,517,118,764,350,173,521,586,765,312,234,
370,954,108,058,283,650,095,466,213,044,361,080,258,252,618,836,278,058,726,
279,257,170,798,168,045,155,214,544,985,515,222,611,667,043,068,114,598,811,
322,678,535,878,278,296,557,702,759,488,350,020,444,931,147,519,548,408,851,
176,482,542,086,669,297,969,970,556,836,952,169,851,783,043,508,103,509,898,
730,344,550,058,260,483,939,640,187,153,647,139,422,426,959,099,112,417,190,
956,815,523,029,643,478,251,425,218,750,571,776,204,775,276,326,682,455,769,
788,750,685,696,585,464,008,178,071,620,161,285,212,078,552,467,979,434,808,
463,288,289,961,810,013,621,565,194,068,311,446,856,105,370,090,482,560,734,
384,947,186,978,010,809,158,092,719,028,255,323,266,675,506,728,667,304,765,
063,537,651,260,968,439,315,617,113,934,449,478,155,697,504,915,850,586,173,
751,606,529,807,410,005,091,640,514,818,339,150,864,678,291,547,356,434,435,
067,173,866,919,656,025,011,904,649,493,511,931,350,814,028,806,953,332,828,
541,812,773,338,666,909,585,089,278,420,993,765,217,292,882,294,048,978,944,
768,422,427,385,163,613,217,362,134,554,343,844,699,876,863,889,034,653,619,
090,779,720,172,665,602,415,127,568,530,183,187,057,818,425,082,055,567,772,
813,599,291,847,170,897,243,031,129,873,486,547,234,999,620,976,668,939,886,
776,802,045,494,674,767,637,273,309,251,845,492,177,802,655,169,155,363,476,
606,952,217,401,174,149,722,658,923,811,252,619,339,688,593,499,595,153,142,
485,276,673,977,109,142,174,956,615,347,237,652,474,123,679,208,705,361,040,
731,985,540,978,839,326,452,783,110,753,506,159,416,270,772,885,329,787,573,
616,247,999,612,132,110,574,629,664,023,662,195,543,820,428,786,236,464,597,
508,577,809,498,123,498,724,292,654,529,414,335,358,611,252,916,612,156,943,
221,563,192,988,251,861,418,495,894,997,728,947,709,991,810,663,031,769,163,
327,754,355,973,040,825,527,046,791,252,947,874,225,898,514,977,371,742,206,
630,636,746,966,551,601,506,647,928,457,031,120,415,124,414,758,675,249,300,
187,283,987,387,788,004,072,020,907,566,642,785,878,347,340,639,966,646,978,
738,787,763,168,235,306,003,740,402,096,677,937,967,940,982,444,224,386,429,
795,734,088,453,708,528,055,753,066,226,556,054,980,784,914,298,105,638,177,
645,520,364,722,835,790,075,808,154,585,950,894,592,140,172,281,962,731,380,
988,394,443,615,278,821,565,911,249,859,042,850,475,839,481,981,120,851,557,
022,671,145,616,953,748,169,543,332,117,593,329,867,144,294,424,712,872,121,
206,031,674,720,052,147,438,715,797,984,398,443,414,981,703,307,193,409,959,
216,278,480,563,386,178,010,822,311,735,163,968,608,832,983,130,591,629,506,
582,206,646,475,853,785,658,121,668,884,139,278,076,817,489,994,878,815,071,
284,584,549,301,693,442,064,685,877,975,333,131,312,561,058,311,304,815,178,
527,018,394,007,702,344,362,904,189,361,367,450,673,219,557,191,178,999,101,
232,113,792,842,516,512,887,666,588,079,283,405,891,672,422,378,397,036,327,
492,423,731,055,447,258,519,969,662,966,947,205,459,170,954,899,251,698,348,
567,052,556,037,376,505,724,891,054,821,233,639,376,957,788,232,869,848,378,
228,291,610,004,418,946,199,464,310,305,202,194,674,851,221,574,729,240,421,
732,651,607,398,847,956,105,881,328,803,445,942,117,036,796,606,899,880,097,
057,374,661,400,594,841,278,794,206,547,672,644,135,421,018,117,934,994,636,
182,505,959,714,327,216,602,027,610,905,254,565,624,343,113,765,933,309,849,
353,344,441,303,134,069,670,169,801,160,319,369,904,582,547,535,613,964,969,
074,187,287,531,951,645,122,030,395,462,803,403,218,606,694,386,359,840,404,
256,310,236,643,996,430,955,428,543,447,883,662,322,699,088,810,108,826,695,
849,689,424,307,129,041,462,586,600,449,247,545,845,234,340,944,647,157,771,
482,344,131,799,685,839,070,957,650,643,058,404,841,851,118,533,913,282,058,
524,642,953,455,208,288,197,335,942,650,053,730,869,213,320,285,810,125,025,
899,711,001,442,862,310,273,270,002,977,518,577,512,429,489,964,567,068,068,
850,736,865,156,584,747,552,836,853,081,815,670,644,507,037,859,242,225,142,
196,746,035,420,105,929,203,579,904,875,817,192,460,989,073,336,663,250,619,
488,141,158,332,193,873,425,991,415,726,596,077,800,026,068,490,180,584,308,
359,037,362,777,111,690,021,138,548,300,535,809,447,568,842,477,500,021,086,
468,968,489,426,902,135,383,345,810,605,088,536,371,884,269,704,198,295,671,
091,734,570,299,018,513,992,964,109,321,969,344,766,935,120,458,051,264,848,
073,663,348,389,517,461,549,152,585,830,754,379,327,620,842,179,633,598,521,
523,761,657,003,041,102,868,960,962,434,919,467,866,772,676,126,870,007,335,
809,458,592,260,445,358,109,053,005,797,784,186,693,903,167,046,164,634,550,
845,608,572,117,488,431,614,972,376,038,678,388,560,771,004,666,653,166,437,
014,855,277,995,302,186,039,393,949,974,457,967,616,910,638,042,095,544,998,
479,424,336,660,622,701,637,367,721,492,985,444,534,636,221,632,884,446,514,
049,177,686,947,915,793,987,792,385,643,130,078,317,655,225,761,412,787,627,
092,978,938,578,486,802,414,145,622,526,663,212,329,990,863,547,920,219,670,
860,137,453,460,920,508,950,810,046,813,977,455,581,560,287,213,848,811,667,
624,135,075,742,878,477,322,730,905,677,576,754,773,838,090,248,397,954,595,
225,979,633,901,199,014,036,146,669,414,953,684,969,308,593,572,863,855,803,
832,788,796,545,147,189,428,010,824,108,802,162,611,214,399,280,364,426,355,
304,172,554,277,422,243,550,203,944,225,819,334,546,166,204,159,211,521,178,
593,424,457,759,052,544,758,795,857,678,563,695,499,404,300,484,321,426,366,
610,966,936,754,334,786,322,602,279,903,202,960,103,243,066,094,545,765,451,
563,426,085,230,441,234,679,558,703,804,195,533,392,909,065,170,476,732,904,
636,532,825,725,552,541,414,695,070,898,597,878,018,669,688,576,372,325,798,
692,887,656,408,983,668,954,337,947,178,726,398,127,915,540,425,148,269,015,
190,270,004,118,711,865,474,958,879,072,237,521,858,982,134,153,887,151,452,
478,561,504,484,793,546,302,754,781,163,811,080,973,853,815,353,714,075,092,
971,690,154,487,529,282,586,870,753,477,090,968,133,461,993,324,428,307,600,
770,910,046,493,443,067,599,983,815,409,583,171,127,453,103,841,007,862,843,
528,234,643,478,813,772,673,544,324,516,317,440,371,630,026,040,685,197,045,
555,040,616,138,323,680,331,186,024,397,549,258,840,474,728,229,141,297,399,
696,555,028,662,399,900,928,716,683,611,480,112,183,048,845,798,886,397,832,
192,567,200,373,361,462,616,228,641,766,122,963,225,489,474,809,696,825,688,
030,387,741,232,212,403,011,436,998,994,302,582,844,960,068,480,663,142,111,
398,502,939,992,111,306,799,823,444,626,426,861,973,351,817,660,081,098,952,
351,435,878,563,143,113,417,130,320,581,678,897,656,224,136,349,495,829,843,
075,299,476,394,617,574,895,787,305,116,719,231,994,368,264,113,038,601,152,
268,042,690,572,300,178,831,362,645,857,024,616,175,383,001,947,000,514,073,
415,799,258,687,975,937,488,053,962,127,215,922,208,652,759,071,669,794,225,
834,513,284,752,216,885,114,540,371,666,683,263,961,444,679,850,479,258,854,
140,613,674,020,760,061,818,804,858,386,259,760,148,361,248,112,742,399,198,
591,182,632,827,078,513,531,703,760,421,668,074,672,359,881,371,055,493,590,
576,670,430,779,588,023,030,344,504,246,535,791,246,778,937,916,658,716,175,
523,769,627,715,954,481,235,740,783,850,981,287,419,708,070,170,790,002,488,
142,611,061,505,989,895,966,244,161,276,685,247,939,212,248,603,315,308,865,
599,416,410,609,697,395,342,697,100,407,420,074,539,614,075,375,561,443,927,
408,238,251,850,071,611,014,596,322,417,971,203,010,454,646,413,015,773,986,
942,301,076,382,431,960,033,321,937,798,884,415,739,370,130,285,291,066,005,
675,553,427,989,278,416,370,594,328,352,423,341,913,377,757,272,074,556,351,
734,472,521,135,460,641,118,996,772,479,418,576,919,618,830,116,000,342,932,
289,260,272,019,562,787,363,813,492,306,133,556,249,274,507,015,483,507,140,
458,302,577,795,019,866,138,045,916,838,446,723,979,149,053,231,526,354,324,
511,176,276,243,846,368,806,238,652,541,696,519,799,303,923,609,396,474,525,
734,886,782,578,744,702,361,286,752,755,207,310,844,202,233,431,544,370,338,
732,602,053,848,654,259,205,581,489,764,622,900,613,281,338,745,424,138,193,
048,292,030,611,202,210,576,214,099,373,050,555,593,792,948,871,520,182,666,
110,268,436,630,291,220,195,471,271,882,031,252,127,585,769,530,121,246,029,
881,960,256,018,892,918,770,664,894,049,083,450,124,318,562,082,065,084,838,
614,894,172,852,469,873,939,988,612,768,122,982,302,929,747,198,288,010,999,
398,318,997,480,709,364,070,182,053,951,283,405,175,567,135,957,214,152,181,
698,419,756,201,754,258,065,841,993,398,000,425,629,725,338,308,705,926,343,
676,460,835,672,103,332,511,078,248,386,748,048,470,089,141,449,886,181,747,
700,198,344,601,848,378,204,477,826,582,020,010,754,144,701,038,669,206,506,
247,298,968,623,428,325,516,083,199,188,549,318,444,604,849,374,507,391,330,
858,338,702,912,960,909,052,578,421,826,808,720,763,075,317,035,931,919,158,
341,817,892,406,109,833,744,522,266,974,738,684,687,463,537,697,381,700,828,
863,482,048,977,210,340,712,593,443,593,115,550,594,792,409,622,652,405,381,
411,445,327,079,449,212,426,149,908,996,098,401,226,573,263,575,509,640,090,
184,165,585,637,422,845,842,945,132,908,262,025,612,050,226,604,817,872,876,
499,402,588,635,935,020,468,075,489,626,668,247,085,818,546,022,059,401,191,
452,577,733,105,152,376,010,902,528,431,112,003,072,100,945,405,765,508,147,
194,527,262,510,670,728,885,418,818,793,284,778,079,406,930,883,807,385,917,
647,147,704,023,080,456,368,645,240,774,312,355,949,937,828,974,859,866,580,
063,341,942,128,986,576,569,519,037,092,965,815,208,610,272,626,558,580,444,
924,120,831,483,878,671,636,962,923,611,127,834,486,977,645,185,312,556,860,
105,942,028,609,926,597,398,228,199,731,184,393,870,726,524,760,922,592,120,
046,478,459,135,290,081,125,834,777,862,632,442,916,703,005,646,055,759,969,
289,453,044,117,755,337,895,931,934,006,897,529,906,349,752,020,142,723,863,
372,038,330,224,897,970,970,884,932,179,619,320,818,549,088,148,460,239,718,
464,516,358,012,771,554,459,086,106,748,466,439,388,569,220,325,055,414,372,
512,295,563,492,211,871,531,258,657,343,277,349,644,058,924,820,817,017,761,
835,982,725,113,193,897,349,347,621,391,735,374,002,883,225,070,214,035,046,
264,103,961,323,379,301,026,652,508,873,574,027,508,926,172,151,913,462,152,
894,427,512,232,288,340,213,112,505,024,294,427,606,826,525,670,408,380,480,
214,917,508,264,792,618,739,838,480,173,846,956,458,673,905,635,667,207,092,
653,562,067,393,336,368,067,267,519,478,303,846,500,793,441,729,980,167,216,
112,609,160,212,465,963,468,776,605,975,371,839,831,135,710,516,341,227,204,
318,432,676,275,110,495,073,416,203,185,967,759,354,245,488,201,932,092,301,
335,027,808,939,770,348,536,325,657,863,730,969,886,410,976,871,963,667,387,
240,550,682,638,201,890,466,002,496,926,496,659,875,066,012,230,440,932,495,
290,219,094,989,331,048,368,709,493,499,125,575,712,827,811,949,324,332,360,
114,535,936,965,856,809,943,511,214,958,437,454,548,070,861,783,604,632,843,
825,795,054,863,975,429,996,270,415,834,572,453,741,363,291,217,369,032,591,
926,911,327,414,039,845,217,246,896,614,252,509,600,150,218,734,141,644,861,
895,695,227,469,563,883,301,135,034,459,467,197,624,236,504,931,092,184,587,
975,047,211,504,064,986,231,875,617,280,539,834,440,392,932,938,291,367,242,
430,002,392,903,642,825,018,303,830,203,541,806,412,124,206,476,406,906,940,
995,581,388,976,960,801,727,068,525,691,219,145,912,523,077,826,455,661,106,
865,583,285,954,870,549,324,936,463,720,216,631,501,793,310,077,595,593,140,
453,328,198,328,767,118,263,221,306,734,259,571,007,016,959,946,768,609,990,
521,169,526,161,638,663,514,705,879,797,111,913,244,067,621,882,413,733,311,
857,739,901,630,094,244,526,903,931,388,809,945,870,578,583,413,480,643,221,
785,118,353,164,562,741,247,102,501,588,080,464,744,919,929,644,809,021,284,
888,881,210,298,739,671,666,475,755,093,133,102,319,129,151,782,863,589,556,
659,422,384,955,241,534,406,983,899,336,710,208,963,624,422,209,433,955,265,
167,364,995,159,343,694,848,490,551,088,602,732,807,427,197,394,075,838,817,
970,803,796,048,956,739,336,940,908,958,658,824,495,181,000,968,676,195,697,
447,685,143,260,837,589,961,217,702,553,093,910,620,069,826,357,964,413,150,
524,007,459,586,922,551,409,703,631,688,155,223,126,372,691,309,796,094,828,
759,410,878,320,103,739,551,310,753,422,905,641,592,820,149,023,934,814,745,
394,322,561,964,212,286,157,738,599,697,819,326,321,691,802,677,632,627,840,
269,633,498,072,551,772,721,991,674,563,018,696,737,749,184,831,506,654,737,
622,765,742,064,029,966,434,535,506,413,227,632,761,140,028,445,306,041,090,
208,245,628,027,742,844,229,591,457,566,899,285,607,651,781,669,154,308,066,
024,585,434,038,909,631,335,081,044,464,745,207,332,322,355,385,354,316,547,
735,017,598,329,259,424,346,508,778,126,887,697,587,404,262,530,373,635,999,
227,389,899,543,094,314,619,730,409,226,021,043,789,058,166,457,972,961,501,
723,611,530,227,595,159,740,839,189,549,152,905,204,764,651,498,135,391,410,
327,264,004,158,618,242,386,120,212,607,303,484,323,458,882,975,770,335,541,
147,327,131,271,274,196,540,666,586,194,928,923,438,007,023,675,643,747,479,
090,265,180,427,965,163,006,014,567,208,594,279,313,168,250,948,453,297,113,
827,196,788,268,066,741,994,983,611,186,994,245,385,891,274,284,887,791,717,
097,520,178,794,199,488,634,756,776,407,395,215,042,870,593,692,998,442,483,
645,062,849,332,517,273,623,200,575,399,539,492,752,113,725,073,577,686,220,
994,399,682,831,552,379,836,528,745,721,715,774,118,391,541,049,796,216,060,
660,646,939,735,491,880,619,394,349,850,866,324,672,631,674,633,674,949,084,
867,465,196,620,335,395,973,133,410,267,957,562,885,929,844,880,342,495,520,
065,440,616,128,369,874,244,704,960,940,377,992,332,237,137,070,695,998,382,
702,934,316,207,421,282,504,074,231,682,866,493,570,086,676,585,812,913,587,
798,225,238,380,104,586,150,479,282,907,598,764,941,300,114,522,307,639,527,
824,498,623,267,352,827,213,211,740,886,512,789,003,080,534,156,658,707,387,
603,845,513,276,345,525,751,190,352,781,812,828,201,841,795,464,276,567,647,
796,513,406,999,698,903,238,022,370,496,826,918,574,548,205,689,401,541,575,
903,814,626,312,622,901,452,020,450,717,207,673,546,540,040,456,180,184,107,
451,047,282,905,096,504,759,272,846,510,254,802,468,069,041,865,377,971,754,
821,760,659,661,280,215,276,119,956,155,526,635,871,385,780,472,409,497,469,
555,925,426,517,353,346,138,925,022,149,183,227,243,914,566,279,767,481,480,
898,570,431,706,671,793,355,833,891,270,836,468,838,483,576,370,977,734,782,
524,637,580,038,353,677,385,501,886,132,169,681,449,190,245,643,667,627,433,
345,960,673,221,028,721,868,038,984,720,082,327,763,044,661,765,902,339,060,
811,356,755,921,891,055,658,786,449,364,444,760,935,601,059,316,047,873,177,
507,584,921,531,164,546,801,951,802,804,883,457,424,392,653,634,876,803,893,
407,343,182,143,782,040,287,555,766,830,785,684,119,150,364,075,119,193,667,
883,274,310,133,159,329,574,688,105,021,093,364,482,229,351,612,459,710,029,
257,314,256,507,824,306,265,696,257,053,294,443,646,119,558,367,494,311,863,
405,838,596,144,179,841,403,636,811,511,742,385,188,470,964,843,611,687,029,
929,068,930,897,191,262,571,214,776,785,206,296,752,661,355,646,687,723,007,
193,132,544,473,839,716,171,727,790,809,014,430,581,251,499,566,323,263,768,
819,945,032,647,015,271,124,971,360,640,726,166,468,683,918,347,617,761,685,
907,668,225,667,292,180,072,754,348,239,169,502,045,068,774,666,486,108,492,
502,123,564,774,807,249,269,331,368,517,692,419,487,201,111,552,695,392,355,
289,575,919,794,536,632,470,851,303,573,304,695,541,878,877,698,088,486,171,
315,900,248,650,012,664,656,206,694,841,228,506,040,424,924,780,423,788,696,
962,178,930,343,894,387,910,731,095,836,896,526,385,997,700,047,302,627,478,
526,433,399,601,667,832,256,657,231,534,456,404,655,406,090,017,105,762,137,
622,191,677,961,765,817,906,675,742,734,419,818,256,591,237,465,727,182,904,
081,700,339,462,515,582,647,996,591,798,296,593,382,960,407,519,094,184,905,
237,471,664,110,550,316,642,778,778,912,509,141,649,783,263,955,797,987,404,
337,248,356,268,667,771,368,084,241,348,552,068,817,664,452,607,221,650,396,
976,844,478,267,905,834,330,503,269,342,036,309,135,449,946,802,680,636,850,
313,456,500,613,956,342,483,833,550,861,146,615,664,170,612,556,412,215,372,
483,164,992,096,371,447,289,321,980,075,179,596,986,176,652,401,798,271,388,
746,381,635,200,807,815,821,677,253,591,792,977,876,049,829,707,859,144,719,
077,714,407,419,865,146,920,963,061,559,004,006,410,972,952,023,820,651,298,
566,939,194,372,474,235,238,184,746,305,737,405,436,392,590,820,017,746,358,
075,908,485,597,166,354,647,541,679,383,312,521,039,184,045,345,235,258,183,
166,526,564,600,098,869,818,800,262,267,365,214,170,717,659,971,836,486,593,
716,458,837,678,855,722,357,939,572,086,751,235,509,552,447,171,682,701,423,
050,915,246,270,858,434,878,223,542,191,145,102,174,278,317,901,701,244,290,
087,937,511,139,924,228,807,819,362,538,836,501,046,436,207,195,756,188,876,
022,741,586,732,540,142,722,027,993,994,377,654,740,067,797,273,014,763,577,
302,233,946,520,809,632,619,012,069,734,463,107,678,457,761,693,637,205,981,
299,973,767,223,269,198,096,213,873,659,006,474,736,499,888,683,891,781,076,
436,969,338,851,900,217,000,563,520,227,033,118,073,951,607,379,391,885,023,
331,486,292,037,906,548,138,667,049,821,821,110,314,168,410,757,426,407,217,
990,059,543,517,966,613,369,719,629,972,228,576,005,253,869,406,581,803,492,
761,394,562,693,861,552,103,644,468,898,851,528,428,659,623,501,834,308,392,
990,419,255,463,075,637,488,276,288,441,973,086,733,883,372,684,414,226,958,
448,419,694,461,626,074,279,977,407,093,334,219,387,643,890,131,103,539,336,
827,286,743,939,148,648,577,773,973,662,228,453,125,142,771,207,532,481,141,
042,356,306,340,947,960,252,697,960,759,719,201,985,575,689,762,699,548,222,
439,244,511,095,641,084,598,316,647,431,736,579,542,891,169,021,289,739,878,
413,709,338,004,509,256,023,044,646,402,853,140,308,697,632,665,195,055,743,
703,404,409,241,415,793,510,018,018,109,909,524,989,553,686,591,527,392,828,
851,514,123,950,477,600,388,463,234,997,771,568,581,928,089,486,831,787,474,
417,992,235,937,174,780,962,112,961,080,931,866,212,084,844,920,388,975,856,
258,422,559,870,497,342,408,840,653,064,866,818,108,617,591,793,284,320,640,
960,400,567,443,033,751,552,092,766,580,245,867,330,169,419,043,342,936,022,
687,387,261,924,956,664,562,523,135,908,823,057,834,512,839,729,735,336,627,
341,648,161,292,600,738,560,655,891,563,733,699,799,689,170,551,508,932,482,
713,808,362,929,714,950,756,123,581,694,912,146,960,668,605,450,050,188,617,
624,699,860,458,837,964,197,527,938,714,307,389,477,789,334,534,220,084,558,
714,494,133,332,767,723,927,110,153,700,138,100,013,410,755,160,947,023,720,
923,975,227,200,453,717,682,104,267,185,021,382,182,965,548,442,614,259,268,
600,862,216,320,017,684,383,255,517,416,328,630,296,765,337,019,329,677,780,
988,031,111,062,335,971,697,840,975,785,907,373,507,941,581,545,051,406,111,
335,424,980,793,040,505,125,269,106,717,066,193,956,999,944,879,148,063,406,
264,077,117,826,577,916,881,553,560,237,528,785,566,417,781,508,410,832,313,
516,920,862,076,084,733,624,270,823,000,446,382,155,849,953,025,224,440,945,
906,889,247,995,990,858,748,991,607,944,617,578,838,117,934,135,850,191,002,
394,572,930,980,339,728,201,715,710,919,533,114,050,127,606,245,639,360,116,
807,255,399,850,807,834,110,594,003,765,394,592,375,483,498,763,484,324,292,
385,434,991,895,565,160,267,428,972,155,965,148,989,171,619,930,499,119,736,
406,762,728,936,924,385,568,093,886,632,233,039,261,496,416,049,114,140,439,
436,471,098,930,423,779,622,840,849,921,422,839,316,657,376,445,745,026,320,
138,226,990,952,625,521,963,717,301,245,820,325,180,420,301,024,060,693,666,
576,762,857,060,459,870,905,782,865,004,504,316,788,678,136,087,391,323,075,
767,833,484,400,557,174,728,749,587,690,755,178,259,098,101,654,728,838,336,
387,282,166,724,783,674,513,082,242,727,185,174,544,982,651,708,401,263,665,
324,100,993,424,275,705,836,174,925,013,681,757,989,177,331,078,917,002,736,
439,387,171,428,452,179,167,022,955,117,308,093,892,304,266,321,223,617,845,
796,122,807,354,527,466,197,870,033,571,595,898,587,565,168,657,515,842,503,
023,872,425,905,741,142,897,458,118,799,096,584,338,083,203,026,647,252,016,
833,559,963,495,445,550,350,143,768,664,733,562,326,769,759,652,192,230,273,
848,794,278,925,473,841,261,508,503,358,917,181,282,821,666,533,669,930,563,
718,513,299,337,261,394,654,998,201,243,486,960,481,786,692,868,549,395,662,
447,964,436,409,229,772,137,902,165,288,892,056,974,117,283,870,510,452,722,
272,850,069,258,232,152,992,686,025,344,783,442,755,719,952,765,472,920,252,
446,059,171,896,206,585,256,863,223,989,147,212,137,122,082,408,674,010,900,
130,769,569,425,501,275,364,535,873,791,986,352,884,057,458,077,667,100,658,
892,030,249,502,421,688,735,403,226,561,977,816,890,149,274,754,487,438,360,
105,717,835,979,478,719,293,644,188,201,473,556,516,323,930,619,300,952,560,
158,406,068,010,373,398,022,798,869,442,757,779,110,077,992,090,550,653,966,
838,657,314,089,224,683,243,332,438,684,616,266,169,591,031,473,763,332,119,
901,155,259,025,162,985,646,914,352,105,746,127,167,745,496,517,209,503,895,
041,447,744,805,569,713,635,189,420,325,980,450,030,595,582,070,766,488,849,
558,823,306,083,994,359,204,672,539,705,504,932,999,514,899,813,076,511,903,
580,735,266,507,221,268,046,138,410,475,619,966,819,148,366,925,578,406,333,
205,342,449,929,213,924,997,918,873,664,744,545,501,687,683,435,124,578,540,
933,555,643,595,442,975,094,640,475,659,486,492,598,437,631,065,450,522,500,
614,171,449,218,732,588,433,749,908,213,202,861,044,127,241,817,795,621,032,
534,732,027,066,155,619,203,240,446,543,093,538,433,937,005,233,877,160,763,
453,359,992,919,441,444,019,769,516,167,551,346,300,548,571,928,902,509,923,
702,428,071,211,872,392,029,812,872,932,696,006,663,333,001,724,600,157,318,
768,818,516,203,442,696,293,289,771,927,590,225,158,135,961,669,330,582,659,
606,243,919,365,212,225,412,274,872,854,328,370,724,315,697,018,406,631,164,
218,158,404,367,765,766,399,436,024,063,447,029,064,817,781,467,763,586,031,
278,144,698,138,434,221,886,596,666,661,328,179,123,958,114,239,011,064,841,
940,853,628,362,909,633,718,376,725,915,074,738,774,370,504,565,525,665,724,
190,486,028,096,539,671,412,906,128,352,994,338,219,146,284,694,321,378,785,
521,767,134,349,100,269,790,766,212,148,826,106,455,423,286,779,213,972,704,
639,591,504,637,396,046,912,447,233,592,535,171,312,962,104,191,487,154,972,
568,025,624,967,596,604,282,920,913,588,465,353,280,357,927,065,269,135,164,
024,492,903,407,988,712,404,397,382,427,793,069,006,622,674,711,288,518,340,
540,206,125,746,767,571,313,394,739,675,495,554,337,878,025,666,826,811,448,
440,972,131,280,576,589,373,547,015,616,165,723,456,500,631,804,714,390,076,
823,495,841,525,407,347,215,381,348,949,787,606,166,253,202,926,693,363,703,
692,534,750,352,976,790,451,117,269,691,940,695,793,531,339,658,947,608,809,
404,980,725,131,353,324,321,561,502,989,645,618,248,563,314,063,368,353,268,
233,365,709,112,014,709,588,126,139,153,966,550,631,196,648,031,488,893,152,
088,741,889,639,369,040,757,913,509,189,144,020,653,677,606,948,122,552,636,
641,429,929,914,873,191,800,359,548,327,172,470,414,334,362,117,397,540,126,
460,575,175,712,415,664,597,013,203,669,448,200,426,628,114,996,992,199,493,
130,511,000,411,374,400,300,179,014,985,614,550,998,793,090,106,535,426,582,
268,704,004,197,204,768,572,156,181,980,322,960,844,319,317,861,949,325,068,
930,558,959,946,059,182,340,970,277,642,640,730,114,068,865,099,396,493,604,
443,175,633,020,907,507,392,628,953,823,385,108,572,551,721,019,013,718,743,
589,003,255,139,380,339,258,268,930,377,081,365,189,383,463,012,184,316,536,
450,863,008,744,317,939,739,398,800,061,819,983,465,496,720,217,602,104,155,
323,839,243,812,231,322,887,795,963,278,526,880,867,356,760,834,488,957,633,
395,104,674,483,011,948,297,922,552,475,921,368,282,571,707,914,118,276,697,
743,817,047,572,997,471,252,845,798,584,631,714,716,527,830,091,672,564,982,
220,699,081,137,238,643,749,251,882,471,163,063,139,095,180,607,085,192,295,
617,463,323,601,542,542,594,298,264,364,393,819,552,203,300,894,982,308,328,
420,775,302,281,432,376,025,788,329,681,908,234,729,737,970,144,572,100,546,
898,081,277,193,186,996,741,094,291,311,228,354,828,611,451,758,542,059,443,
177,071,378,464,352,356,576,602,386,749,968,954,645,590,630,423,719,542,990,
460,857,326,899,221,017,068,253,412,947,487,485,108,066,058,165,430,547,652,
893,365,857,921,137,300,179,118,918,473,685,567,702,330,705,307,624,039,214,
545,360,002,992,187,703,677,840,087,245,433,212,839,993,304,576,493,214,919,
829,233,622,731,822,024,976,798,985,653,416,302,916,653,123,579,167,741,782,
825,393,740,752,188,686,797,691,612,761,793,515,327,844,892,686,775,360,299,
981,452,837,652,640,296,242,625,804,598,992,335,906,099,060,394,913,985,255,
604,430,546,202,819,945,004,425,670,334,337,553,492,035,169,321,690,892,622,
471,425,446,662,092,648,380,836,877,527,857,661,234,597,576,724,742,786,271,
266,777,842,518,196,292,512,295,453,731,366,356,709,508,295,931,157,324,222,
055,165,985,165,681,034,885,455,513,818,004,451,795,158,136,735,260,448,562,
141,676,736,681,657,162,431,998,406,403,525,838,189,510,432,226,910,914,492,
621,907,438,194,470,744,802,785,847,789,252,039,469,996,104,749,458,482,736,
493,344,467,298,800,580,029,159,312,364,034,866,228,603,326,248,655,920,375,
173,056,996,709,041,136,442,020,173,784,316,498,117,334,933,610,190,445,065,
432,936,565,406,673,739,203,447,899,682,562,757,192,757,607,507,453,756,021,
288,992,049,670,495,546,583,381,964,463,819,157,503,075,924,545,393,862,643,
336,343,170,796,729,325,742,155,675,547,836,439,189,217,438,477,771,010,268,
398,825,159,943,199,394,340,432,822,609,146,102,773,717,586,856,396,896,228,
858,967,131,404,389,973,571,753,651,358,980,709,065,715,811,598,592,427,239,
521,284,437,997,129,569,070,803,469,257,806,069,168,325,895,045,051,316,435,
214,266,664,026,557,410,680,246,650,877,220,930,338,402,064,015,486,702,664,
252,222,542,740,644,218,641,280,326,527,432,610,942,574,624,653,564,104,343,
130,181,894,595,062,267,968,058,306,456,447,569,455,157,714,257,243,253,029,
018,477,326,961,100,299,526,877,315,210,891,989,814,138,947,532,764,984,968,
552,095,648,316,907,698,782,248,919,183,583,411,908,777,414,867,940,963,396,
510,593,938,382,524,757,934,336,370,745,689,706,220,039,073,503,486,837,344,
043,701,508,933,993,621,140,540,695,830,376,157,309,531,829,608,240,163,696,
095,050,769,719,545,975,009,179,984,589,014,655,857,686,496,193,399,297,357,
888,903,204,220,994,845,583,157,440,792,532,054,117,865,003,604,569,705,617,
674,018,904,157,227,333,691,712,191,881,759,619,352,610,185,642,156,298,452,
635,999,749,660,665,142,588,374,551,596,531,059,402,077,241,891,164,006,695,
016,575,307,576,496,057,714,593,124,878,637,971,032,304,814,740,111,782,638,
272,766,934,386,299,554,097,265,580,052,408,008,100,942,485,686,493,760,774,
073,938,522,347,191,547,939,432,323,690,368,843,219,028,111,409,561,379,192,
057,018,770,517,463,162,161,909,459,616,542,464,691,582,958,734,649,382,423,
141,236,303,400,563,423,250,017,694,760,028,364,886,957,661,368,774,254,913,
432,858,845,675,459,510,904,450,904,408,300,547,114,047,217,518,501,943,682,
202,366,281,826,033,128,966,826,322,478,415,182,605,594,757,020,175,828,447,
003,256,260,173,948,468,902,099,681,610,014,538,722,115,504,373,150,604,948,
614,724,062,745,813,376,964,440,716,043,299,423,205,415,425,874,708,595,982,
935,094,049,509,273,456,798,037,885,755,113,570,131,386,755,238,542,669,580,
066,498,914,438,478,037,377,827,124,225,179,057,375,671,983,046,349,574,447,
767,825,524,453,308,224,966,318,591,477,508,502,687,786,713,949,068,653,561,
560,496,863,132,442,597,502,053,779,941,140,065,712,754,809,455,858,700,644,
571,071,033,223,820,739,916,414,889,193,545,066,613,579,010,239,008,663,112,
792,946,953,458,848,016,324,147,719,883,470,560,290,904,503,447,143,700,412,
369,738,430,442,982,629,776,525,496,748,335,635,912,035,975,460,267,440,873,
865,068,157,202,945,296,556,081,222,506,627,498,969,660,869,639,649,412,633,
820,438,795,822,918,615,353,061,469,153,952,290,756,375,635,798,868,724,909,
810,468,418,579,365,727,059,136,299,098,624,547,983,995,771,703,963,291,627,
208,288,029,367,878,660,820,289,127,141,448,668,982,474,398,252,118,390,010,
624,250,491,841,459,829,713,325,360,190,718,412,666,128,704,222,684,393,519,
593,228,935,199,174,216,343,958,432,841,021,845,394,176,675,707,955,806,917,
766,817,992,951,726,758,186,315,704,061,345,152,040,593,707,980,763,939,238,
515,676,452,958,953,355,417,462,117,675,736,936,666,567,590,406,468,995,611,
417,784,275,615,956,860,729,188,504,880,069,384,963,373,479,068,498,279,451,
986,260,018,399,068,160,923,995,966,090,162,249,160,187,233,995,245,825,254,
826,698,095,272,748,850,689,186,571,878,909,042,628,830,194,801,456,315,990,
002,464,646,571,278,427,054,411,808,836,941,338,488,588,185,563,168,142,577,
724,338,122,315,317,373,848,575,979,071,190,916,491,527,169,692,365,148,628,
903,432,407,686,922,640,584,517,648,261,864,611,444,841,273,669,207,682,867,
704,590,453,903,689,292,340,757,568,632,979,867,165,094,922,451,978,257,190,
849,298,417,612,118,817,143,703,068,443,116,129,447,071,888,484,584,845,379,
408,822,349,152,217,270,276,574,262,796,292,948,886,252,316,985,034,761,103,
226,845,759,800,533,506,081,718,451,637,440,767,116,415,213,478,292,672,159,
948,811,144,502,791,595,316,798,326,231,028,074,319,622,672,239,536,376,642,
652,833,516,700,655,447,894,811,652,510,212,163,902,001,419,307,963,573,127,
572,914,316,874,604,517,617,785,523,091,687,004,345,161,654,604,990,048,551,
656,607,270,092,561,790,951,867,993,189,164,067,281,672,857,534,184,372,214,
386,111,864,335,868,422,223,726,041,165,538,608,187,055,126,308,218,525,841,
804,549,018,846,215,734,320,185,655,186,593,483,556,512,918,874,474,725,324,
316,477,051,591,511,591,737,511,204,784,678,108,254,834,161,911,453,567,119,
493,776,968,441,699,929,614,028,437,502,256,082,758,171,558,079,383,324,546,
077,375,531,967,991,158,391,975,251,927,842,916,239,676,446,891,989,574,967,
342,718,926,420,186,723,404,053,960,726,022,027,537,997,273,083,322,464,916,
856,657,460,982,468,815,901,957,330,387,754,117,840,833,771,746,775,528,818,
477,689,736,180,704,721,236,061,667,673,745,129,769,917,149,433,082,551,185,
582,998,926,714,989,214,332,878,264,361,689,198,735,484,533,191,493,890,342,
523,179,787,148,140,382,908,251,280,664,495,634,136,547,611,531,337,041,415,
255,032,251,778,090,388,343,015,705,871,329,252,400,961,782,227,489,574,429,
834,651,356,363,754,387,860,262,096,250,334,212,842,160,070,848,313,134,227,
400,553,364,552,491,584,866,322,021,805,057,215,338,656,045,239,838,774,246,
996,325,166,623,610,125,272,142,008,467,105,563,931,592,264,056,036,698,820,
794,500,230,209,276,803,348,423,272,534,136,982,654,583,576,324,090,917,312,
746,678,683,116,475,334,850,274,287,035,238,986,545,442,900,048,617,806,139,
909,683,697,204,955,383,371,369,081,380,597,695,040,581,610,055,014,360,941,
906,059,397,620,510,786,864,773,614,307,635,229,535,448,420,426,756,165,441,
541,042,058,889,468,779,665,667,534,162,792,877,826,476,029,136,895,739,088,
715,481,871,245,808,349,609,195,456,041,852,102,066,073,964,300,827,277,525,
985,223,049,968,871,847,795,438,081,606,600,069,970,697,207,940,861,759,220,
572,050,726,993,431,727,648,936,152,372,262,804,732,122,162,769,919,339,943,
307,152,199,505,081,300,923,955,911,399,537,292,511,211,420,106,875,429,873,
978,374,867,680,145,494,286,926,979,504,036,781,848,892,163,768,760,696,898,
094,144,220,558,456,419,701,399,025,393,303,806,212,087,326,323,481,835,947,
060,312,935,627,638,282,663,808,007,016,395,689,093,857,425,954,586,571,402,
332,338,959,148,392,759,143,172,292,704,488,640,512,970,028,671,092,459,165,
435,201,184,783,585,348,013,117,816,739,721,139,856,560,591,372,961,256,773,
110,696,060,263,000,111,077,634,923,102,055,701,785,273,750,914,801,822,942,
303,615,625,273,630,963,617,095,516,276,208,589,205,632,218,599,829,067,833,
179,662,261,325,313,227,932,080,826,567,064,269,471,277,425,446,180,754,954,
754,417,575,859,082,150,265,420,552,188,964,734,384,765,070,471,832,094,354,
034,850,075,781,858,424,074,706,305,303,268,204,112,445,004,547,528,530,184,
346,642,646,638,423,231,712,777,315,971,813,474,630,262,287,913,852,636,851,
338,221,882,661,115,683,104,261,357,221,331,060,615,885,925,893,162,989,192,
643,220,815,799,545,515,746,223,118,418,680,809,359,027,712,608,411,990,667,
553,767,394,377,794,839,526,355,558,796,192,266,181,308,097,207,088,279,198,
222,287,534,443,961,814,080,262,753,599,761,975,766,198,806,957,232,473,043,
346,730,356,573,155,417,168,298,294,980,851,176,534,945,356,095,507,913,602,
068,904,449,856,287,673,497,589,106,638,670,097,271,036,831,700,220,113,151,
369,779,221,945,390,315,470,263,014,390,458,326,520,620,188,557,697,667,425,
004,382,045,676,291,148,255,747,719,846,797,666,639,008,294,738,931,261,727,
177,397,375,340,373,681,465,948,276,483,726,625,617,191,247,838,063,983,728,
718,763,182,776,378,795,474,636,704,888,822,146,097,615,307,337,238,664,339,
902,367,624,108,174,350,108,116,195,707,230,159,404,241,401,083,694,919,352,
358,961,172,974,191,572,197,642,117,196,043,993,249,030,006,662,685,702,590,
065,656,512,769,191,237,536,894,442,894,467,186,012,046,707,507,332,033,326,
480,105,644,917,937,398,168,378,676,186,507,869,489,960,237,916,392,886,877,
175,244,581,448,482,449,492,811,782,472,608,486,143,955,306,937,573,525,390,
013,639,966,319,392,488,409,184,827,902,946,319,486,697,913,784,123,255,859,
246,332,802,609,044,956,290,881,842,283,207,519,985,186,167,300,330,753,444,
182,087,402,255,015,364,081,848,819,443,629,359,592,161,588,825,113,210,868,
910,068,800,985,106,091,044,763,327,544,216,339,814,275,998,503,220,863,301,
307,144,816,733,585,034,226,521,799,584,577,038,430,514,515,065,742,463,523,
604,580,948,737,475,301,881,227,764,865,235,255,632,733,525,167,340,784,826,
138,564,407,265,341,984,117,724,233,033,106,920,264,124,177,265,793,811,487,
482,147,041,119,359,858,993,157,779,120,837,107,268,609,055,703,660,738,394,
278,708,319,323,903,384,069,690,807,474,193,044,581,146,067,684,525,722,889,
585,502,653,143,032,896,158,075,630,959,202,621,641,358,480,304,403,745,577,
155,961,010,919,304,033,466,667,396,588,229,854,413,662,555,152,340,271,057,
964,841,922,094,885,623,483,967,742,874,524,597,323,864,465,942,559,757,494,
670,611,046,263,509,567,144,282,074,679,321,480,453,658,948,704,242,093,703,
115,076,006,237,168,062,449,899,106,447,190,867,532,843,895,304,744,676,022,
285,285,396,703,757,808,004,674,480,387,979,922,788,131,522,433,437,901,383,
382,304,202,217,282,876,709,914,916,009,583,088,569,070,885,775,428,333,839,
782,941,310,432,797,090,898,851,604,857,664,468,643,326,971,151,810,551,078,
206,332,582,122,025,868,482,221,651,188,397,207,055,856,774,946,212,592,053,
209,723,780,296,714,183,801,734,526,084,681,451,063,605,698,434,675,151,946,
688,074,157,392,030,823,731,304,796,722,943,566,557,870,332,914,158,289,136,
628,755,448,496,909,436,402,475,934,168,153,223,186,567,309,522,939,567,830,
924,828,154,450,635,280,229,309,485,124,816,840,359,975,560,960,882,181,047,
639,969,368,146,008,620,797,395,319,278,204,543,623,300,214,473,483,793,653,
718,204,043,882,350,022,840,526,834,215,206,903,581,679,853,990,156,606,315,
317,770,464,750,926,229,288,019,323,247,932,299,089,499,673,640,237,326,982,
824,137,184,981,433,598,270,711,795,648,861,947,360,713,835,048,973,129,236,
040,830,900,513,371,175,954,037,771,743,572,843,068,025,705,972,722,373,356,
406,474,217,469,737,053,735,518,753,014,601,227,412,727,910,915,984,309,028,
086,612,073,364,496,046,870,847,830,889,815,657,298,310,017,589,045,154,219,
256,738,644,304,205,879,919,136,030,252,173,337,601,157,792,947,575,527,357,
535,797,342,432,034,461,636,977,605,099,940,106,655,913,610,188,330,473,846,
672,059,734,731,591,663,313,473,165,763,860,963,219,199,342,602,714,781,361,
288,604,207,275,670,395,503,836,059,774,906,722,620,947,891,095,459,031,768,
651,477,615,731,860,725,971,328,917,659,306,388,090,259,441,427,136,633,374,
995,787,920,444,779,028,362,554,251,877,940,715,485,407,398,544,113,396,824,
397,853,748,083,012,699,204,611,289,070,899,339,817,211,741,493,284,422,979,
631,945,601,451,698,925,244,166,391,411,316,913,322,727,059,129,175,143,226,
573,229,442,178,912,804,795,132,920,808,171,476,992,824,531,951,082,516,080,
032,771,189,156,397,922,994,929,300,285,237,786,864,887,525,913,902,705,205,
280,729,599,593,946,353,766,448,113,913,893,833,532,337,575,170,091,530,086,
896,666,104,406,867,892,937,659,022,312,258,979,272,717,713,889,803,944,175,
651,763,376,884,890,041,302,675,703,696,196,332,114,862,611,974,098,264,991,
674,311,719,282,004,129,220,070,988,528,205,701,720,192,037,390,482,858,686,
301,334,589,534,914,562,146,848,527,779,410,311,534,980,096,220,265,106,694,
884,898,693,014,864,323,503,919,525,007,535,582,081,780,640,406,842,097,076,
758,985,080,306,165,656,738,450,765,391,122,952,568,689,892,991,902,533,981,
729,563,413,834,519,382,320,014,413,155,048,559,852,214,924,638,988,471,908,
783,212,171,976,616,216,662,953,207,912,604,856,911,547,773,881,265,889,533,
962,817,714,061,849,496,050,452,392,932,452,545,525,889,105,638,347,362,734,
221,636,053,058,905,540,423,178,089,541,036,991,646,643,155,132,220,986,463,
470,213,054,716,532,675,006,234,730,213,903,832,748,043,991,568,235,634,163,
369,032,682,782,111,679,298,794,539,296,840,529,278,225,433,608,321,317,644,
357,793,554,838,358,583,589,366,648,659,663,142,717,590,445,227,925,669,947,
152,504,039,097,943,962,001,170,067,191,829,577,049,138,255,724,816,401,173,
778,139,349,769,146,890,110,269,325,923,337,276,002,449,556,662,580,889,053,
296,244,819,151,015,365,481,159,827,896,769,693,928,549,522,346,819,823,705,
100,768,000,713,289,312,086,133,269,320,207,845,718,853,914,220,430,082,217,
570,696,759,064,045,231,564,297,863,431,652,229,564,376,575,444,468,794,710,
636,823,245,499,216,091,714,011,951,412,453,852,706,581,090,666,180,694,454,
251,877,676,693,755,382,061,962,555,955,618,838,561,450,284,055,845,829,753,
373,359,136,817,907,558,014,999,794,768,332,935,552,375,057,418,365,805,626,
484,473,408,649,117,483,532,690,458,315,872,745,750,471,978,730,464,719,949,
738,547,470,144,016,929,946,813,944,724,222,711,060,153,900,328,719,920,500,
219,838,822,914,226,615,887,236,040,523,896,577,972,293,740,634,020,090,435,
325,676,331,293,731,713,032,327,419,619,008,598,321,200,967,667,651,180,230,
269,001,847,327,423,062,979,792,236,678,555,605,387,751,448,138,197,737,411,
963,216,776,107,624,996,565,749,734,877,255,778,919,684,701,613,385,241,384,
817,709,733,383,914,215,856,172,837,950,921,135,385,250,020,486,230,319,060,
989,325,555,697,649,067,882,600,192,325,567,184,446,775,976,664,138,343,911,
057,280,490,696,933,787,212,161,114,602,278,027,245,280,932,405,234,490,860,
660,872,412,620,498,191,672,918,368,008,563,118,051,164,178,374,426,065,418,
154,981,887,314,844,641,550,309,749,351,401,314,172,754,182,029,316,749,698,
721,446,435,694,282,830,086,629,214,734,280,941,289,660,256,176,482,042,055,
763,847,577,082,263,031,538,964,522,643,040,652,100,211,105,967,773,869,974,
894,145,303,652,590,696,134,211,309,065,063,920,793,091,201,656,101,767,513,
975,864,479,497,202,796,234,300,822,726,233,675,414,158,328,840,970,842,174,
841,710,615,328,649,673,148,090,206,435,212,465,526,842,574,337,339,679,786,
139,584,455,800,627,683,113,543,711,134,913,793,965,374,584,860,756,568,935,
300,581,812,175,969,586,855,063,771,745,242,837,288,545,116,335,614,244,143,
084,051,731,608,009,511,594,546,814,319,695,795,263,106,809,421,080,495,571,
690,880,881,602,916,046,651,212,828,557,755,795,078,838,071,226,456,245,000,
915,709,379,434,243,436,400,369,940,760,759,271,591,006,323,024,967,440,287,
341,201,922,441,562,439,211,189,893,705,981,438,356,202,320,370,049,105,424,
773,571,976,498,349,891,791,745,070,053,255,616,336,952,983,267,676,118,010,
727,740,811,015,081,261,188,651,257,482,906,270,380,378,215,034,190,359,283,
874,847,787,735,627,437,484,100,209,415,355,666,026,426,710,277,401,663,909,
693,213,924,016,850,631,507,796,001,369,322,555,911,408,061,761,754,835,282,
573,673,394,655,714,352,675,482,021,108,889,635,273,731,075,216,367,230,783,
262,640,105,195,352,527,527,122,283,315,511,035,152,739,914,011,890,989,785,
069,553,916,209,816,272,420,895,729,635,186,622,479,111,214,475,082,265,234,
738,268,569,053,857,996,097,161,734,987,204,192,069,600,107,599,538,132,670,
797,237,515,191,615,497,133,843,473,432,907,476,086,127,574,475,698,836,060,
291,464,881,505,745,653,356,229,993,219,801,548,162,015,958,736,468,459,761,
642,741,630,592,697,043,868,275,893,690,810,157,742,206,384,417,171,309,256,
363,869,757,685,313,698,093,771,123,524,377,075,577,956,509,804,897,825,457,
950,888,239,081,528,580,034,682,395,677,121,928,448,318,666,238,085,686,336,
465,112,141,846,283,478,768,307,661,285,840,407,449,688,008,515,252,771,150,
045,944,717,841,283,909,810,091,681,979,862,172,233,737,431,852,671,527,689,
781,751,385,110,289,712,742,931,589,126,314,716,069,749,813,644,600,640,272,
701,919,100,601,179,862,270,808,240,733,499,504,270,244,812,578,335,244,445,
630,638,498,031,591,043,533,653,582,248,417,480,579,966,922,344,822,506,619,
398,402,288,277,974,388,196,700,969,554,148,638,709,718,668,601,880,839,771,
551,775,658,591,679,799,154,282,136,655,195,055,609,891,568,547,138,182,890,
427,177,231,709,607,813,568,883,166,993,391,462,600,561,749,484,823,541,660,
991,862,244,503,070,345,699,775,278,908,325,349,662,048,949,597,462,037,288,
721,036,186,704,449,919,289,165,630,135,405,226,440,973,682,621,078,304,484,
744,446,773,333,396,727,237,018,978,843,283,225,502,271,722,058,529,579,167,
672,625,501,671,474,891,849,070,988,714,732,830,004,649,905,608,551,204,249,
649,139,649,970,273,995,906,200,937,720,655,626,279,440,714,476,182,866,008,
091,001,973,226,125,130,554,348,561,882,078,879,109,721,401,603,795,355,034,
149,348,296,954,328,436,039,502,797,365,607,067,360,190,111,877,518,720,079,
866,171,767,130,411,156,741,961,634,171,685,004,290,298,716,801,688,537,765,
622,432,590,114,525,288,650,086,356,602,675,457,060,907,486,988,766,351,730,
715,387,277,371,246,376,195,842,897,177,461,922,937,136,822,340,004,658,516,
884,975,191,618,721,216,663,563,083,844,869,925,688,819,855,085,089,329,229,
049,506,428,812,459,498,136,045,044,414,054,365,221,500,781,174,626,082,672,
572,347,761,897,705,436,003,434,486,187,072,941,719,828,671,814,544,261,272,
552,058,733,094,644,479,651,632,081,236,591,000,563,285,784,379,098,781,727,
919,565,487,315,617,509,124,494,715,339,002,829,921,841,228,154,890,535,374,
668,211,633,423,285,832,837,856,344,226,216,739,213,769,267,875,351,070,979,
530,880,951,030,267,842,086,585,492,329,618,789,620,538,566,499,718,305,631,
945,863,408,971,664,582,990,171,335,159,787,054,666,388,560,924,432,620,181,
086,754,009,925,131,079,533,290,327,342,713,974,821,719,834,821,573,405,914,
400,421,719,672,719,444,348,204,106,710,982,468,265,482,994,591,610,492,679,
137,900,041,019,133,759,093,316,661,871,294,851,389,097,046,230,328,549,486,
665,961,360,007,801,886,373,841,946,428,321,050,608,623,950,723,622,315,083,
485,604,352,287,172,534,092,289,146,249,953,996,968,130,019,349,440,222,015,
671,217,227,138,268,987,478,881,465,071,266,608,606,911,093,799,372,675,034,
251,745,512,576,815,417,623,120,584,456,632,347,013,825,680,566,163,968,288,
754,104,663,292,199,002,581,748,183,083,144,952,037,754,336,548,376,745,723,
412,590,746,950,732,660,299,246,715,964,332,669,238,940,203,890,506,732,163,
032,121,909,425,727,074,083,566,877,775,177,995,644,908,082,901,488,717,875,
322,895,830,389,361,315,272,169,164,330,416,256,442,971,165,417,791,067,250,
287,677,376,757,281,124,056,583,662,941,380,554,130,049,882,222,742,071,427,
937,963,073,790,500,025,921,829,994,879,189,366,239,551,412,704,325,524,584,
977,030,392,290,368,350,663,616,226,971,130,235,154,524,680,179,132,255,868,
368,875,874,089,248,949,366,874,383,372,702,489,822,222,532,021,636,116,666,
438,360,136,312,004,258,849,903,002,938,746,695,957,577,380,322,189,430,014,
340,380,062,964,485,576,975,975,521,867,855,885,740,509,004,641,100,315,253,
704,480,253,578,404,784,025,457,173,787,709,742,380,992,503,196,821,610,669,
469,962,810,470,241,194,668,055,753,230,103,552,686,435,746,553,194,473,326,
133,961,444,843,816,968,158,417,793,394,695,812,774,119,631,401,992,094,972,
863,747,227,302,304,861,374,689,876,638,180,400,805,079,792,676,004,536,910,
019,589,712,801,862,917,223,003,175,752,389,193,941,021,584,070,997,612,437,
752,267,583,300,521,864,087,147,555,379,555,277,209,557,263,789,906,959,867,
958,151,137,755,359,250,950,789,648,404,995,842,124,512,922,403,399,506,984,
413,710,389,188,206,259,607,649,773,553,985,376,520,900,232,676,814,987,324,
155,919,022,168,155,142,322,107,604,903,820,277,422,668,559,031,109,617,048,
186,248,858,465,081,260,398,742,108,315,063,977,355,279,431,018,741,692,695,
418,994,791,136,783,211,750,688,912,975,565,065,323,468,327,869,716,300,844,
478,965,573,057,005,291,341,921,326,694,970,869,061,138,687,767,328,698,781,
037,446,816,532,798,946,810,097,972,431,519,194,657,569,528,451,942,235,320,
752,883,119,915,482,578,975,378,565,916,080,862,750,760,947,819,579,125,388,
267,033,460,250,033,011,328,788,461,685,480,371,622,617,526,018,744,152,009,
299,209,934,628,223,161,417,494,540,642,519,302,528,666,011,954,363,602,697,
524,467,084,045,087,640,038,445,967,906,256,354,227,795,848,277,362,104,811,
851,999,156,447,409,742,904,879,325,591,608,618,944,989,818,590,980,654,753,
974,687,128,205,071,292,904,646,144,053,202,534,265,228,266,391,319,631,177,
142,283,610,679,360,212,858,133,742,528,802,778,830,378,732,163,107,185,339,
446,515,139,921,384,829,536,381,946,341,617,039,599,003,226,391,154,877,407,
038,985,515,810,722,024,280,083,801,173,004,101,117,327,802,158,683,058,281,
189,010,084,245,101,887,190,195,566,344,195,570,399,415,476,412,736,885,680,
511,264,614,377,644,587,526,015,045,618,769,969,271,665,283,418,314,073,406,
003,552,281,770,779,102,830,019,249,606,843,507,411,947,250,873,394,751,822,
242,902,983,194,545,358,652,652,590,388,782,798,345,400,423,175,818,020,991,
750,191,123,039,600,384,102,730,113,903,827,180,417,429,141,626,020,605,847,
133,928,024,810,115,669,846,945,886,842,295,338,059,274,839,584,769,069,458,
953,336,872,726,129,931,641,498,705,762,606,833,183,368,411,346,827,405,951,
084,567,483,087,792,393,129,427,653,540,798,618,072,022,924,228,955,058,554,
620,657,969,153,403,849,696,963,664,925,019,195,122,154,456,561,607,138,131,
590,036,405,380,184,308,215,930,281,557,263,337,447,234,581,272,518,418,362,
857,051,414,564,143,871,463,172,987,261,787,323,850,921,094,412,433,226,914,
907,350,183,572,521,713,499,922,742,196,720,817,011,433,713,387,945,067,926,
922,736,754,284,082,381,129,497,167,967,566,611,312,038,165,600,048,558,918,
139,254,945,940,121,043,255,929,352,934,242,202,496,274,336,191,562,062,669,
475,899,409,637,123,437,900,873,734,143,023,876,348,268,370,602,595,430,669,
921,286,472,563,817,275,838,011,679,640,558,853,103,580,880,337,159,370,205,
483,409,855,842,326,437,579,502,298,803,277,515,640,919,251,267,940,378,394,
664,388,350,096,644,729,735,961,582,150,323,364,704,120,761,549,781,903,771,
519,010,421,342,340,228,541,883,833,814,687,393,451,624,563,459,714,354,269,
246,404,781,655,238,986,425,404,864,036,667,931,350,651,056,421,557,660,769,
847,216,541,017,468,571,979,230,721,200,793,462,084,922,803,271,049,796,801,
044,827,174,729,604,296,042,450,796,645,298,950,327,340,636,231,540,180,971,
250,104,831,456,020,424,569,087,045,614,607,257,804,453,714,495,135,159,749,
239,791,553,907,039,370,254,119,424,648,892,738,141,739,536,463,221,716,790,
742,367,194,861,480,985,525,561,252,670,984,375,106,294,909,764,927,652,111,
552,922,366,464,571,727,612,687,467,201,216,121,406,879,201,219,976,339,388,
493,608,925,937,406,933,229,271,132,789,891,040,078,532,366,952,169,594,608,
343,632,089,768,638,136,142,201,003,671,806,095,325,944,170,011,388,580,215,
040,061,652,311,956,117,767,685,672,267,356,162,771,512,079,026,137,587,578,
646,747,921,133,442,843,693,670,108,706,619,107,697,942,098,542,060,676,249,
280,918,119,959,856,945,816,550,812,037,208,094,374,606,715,207,948,972,945,
370,031,555,969,172,194,590,453,805,630,716,274,874,943,671,574,441,031,729,
804,594,257,948,572,570,806,023,410,927,075,728,607,887,121,501,259,193,496,
665,824,952,592,658,096,322,311,337,977,696,412,161,491,622,097,991,047,279,
519,840,219,122,338,691,438,733,313,443,249,477,827,699,138,796,499,264,730,
930,691,783,953,980,644,117,052,281,181,169,852,067,189,677,501,658,759,184,
216,977,914,588,490,968,799,133,890,988,534,874,970,816,939,954,848,874,926,
710,881,994,547,917,065,911,428,927,028,472,748,301,254,923,402,850,276,316,
901,087,548,263,678,519,793,366,140,261,321,422,056,979,576,096,973,929,134,
021,104,725,211,393,577,091,842,370,611,277,365,347,400,056,026,904,262,976,
749,708,913,462,802,415,212,809,253,410,013,463,109,579,663,584,312,734,947,
639,266,592,760,390,508,971,119,473,902,928,812,316,513,617,011,030,068,640,
856,923,293,122,633,076,785,879,242,181,516,393,935,565,086,400,623,362,516,
406,846,521,827,942,319,267,513,712,952,151,794,831,122,455,346,176,026,139,
093,218,849,890,510,645,555,138,131,236,434,419,320,169,454,715,215,832,728,
174,958,803,342,150,974,700,247,644,173,588,557,818,922,992,648,827,668,586,
817,689,069,185,558,853,543,261,994,038,024,226,902,164,623,857,932,903,080,
084,969,292,001,983,512,321,220,976,895,705,797,143,445,008,720,732,262,284,
089,714,165,055,391,721,416,669,849,127,684,624,219,461,757,449,557,796,258,
703,971,199,677,127,508,491,640,829,229,665,067,953,723,775,213,189,847,304,
079,933,277,004,947,452,974,471,767,176,723,964,314,240,368,561,169,782,703,
218,407,438,862,419,094,260,113,661,372,235,945,757,962,513,757,875,992,823,
623,768,427,821,913,517,835,097,540,700,194,913,885,604,494,548,489,885,985,
354,215,283,412,990,244,659,639,670,619,668,342,291,634,843,031,451,552,799,
898,878,314,402,358,245,030,004,731,087,634,415,809,858,229,792,674,142,521,
238,926,849,946,743,473,301,089,582,206,652,346,600,150,667,359,784,315,603,
825,411,220,913,018,996,285,758,810,997,283,476,272,671,464,238,749,704,759,
467,610,595,534,024,924,905,454,216,921,646,834,387,426,577,399,886,983,338,
626,529,561,837,350,797,884,070,474,027,893,457,796,298,246,173,809,230,827,
094,258,867,952,207,346,155,767,830,374,301,657,408,137,541,035,372,003,247,
075,578,797,008,681,362,637,868,060,561,212,633,236,886,222,853,859,723,136,
235,926,968,318,750,191,158,291,344,907,295,077,779,074,148,717,035,388,316,
961,780,754,377,752,727,534,354,183,095,354,087,366,482,885,578,863,615,199,
753,758,932,412,557,132,944,445,877,848,597,985,088,337,739,451,682,316,260,
658,020,081,082,255,200,268,761,590,106,943,760,427,743,779,132,687,063,385,
589,711,791,451,483,742,211,268,306,394,150,558,241,694,880,684,160,991,868,
313,644,427,311,668,287,142,034,304,732,605,184,825,327,786,398,273,930,374,
746,696,151,382,979,244,005,243,516,641,808,088,876,068,770,947,682,251,161,
662,978,398,188,060,465,963,689,729,069,842,651,543,392,144,603,125,300,179,
374,598,880,616,092,123,270,561,213,623,780,921,866,964,002,241,706,840,016,
744,102,030,271,870,248,152,425,934,772,857,662,290,722,839,017,775,692,462,
755,702,694,752,983,232,706,556,974,441,373,264,013,176,855,861,426,689,517,
492,522,735,004,112,178,472,757,632,285,554,839,848,528,539,247,613,450,887,
956,966,592,208,607,362,726,253,474,369,490,874,287,561,933,492,372,966,508,
195,836,840,430,918,460,935,619,402,548,402,296,502,911,278,090,261,619,834,
863,581,187,781,845,305,963,088,428,685,559,451,460,498,697,214,252,845,535,
387,573,528,245,048,939,567,414,750,302,590,548,190,404,114,157,648,937,814,
465,688,206,761,986,668,290,268,145,699,500,129,765,852,817,660,565,378,256,
994,143,556,352,661,561,464,735,546,573,522,471,280,900,226,496,185,057,977,
451,841,178,144,818,309,519,033,565,314,566,136,560,564,112,592,574,954,974,
232,355,802,555,426,613,987,398,826,160,370,829,696,336,305,066,711,641,908,
543,507,321,189,685,930,786,190,574,393,225,403,761,566,495,593,110,831,695,
685,140,075,091,148,201,958,743,467,014,473,638,290,857,444,051,471,554,642,
017,926,565,465,584,306,634,962,693,780,433,556,483,218,847,328,154,457,070,
301,353,457,003,892,792,086,763,910,536,248,146,156,089,841,114,770,196,521,
397,740,383,258,745,477,674,472,878,774,096,637,282,630,970,557,181,813,400,
588,927,322,675,159,812,265,926,784,647,169,395,007,249,691,277,244,951,378,
129,767,439,526,469,183,025,037,173,962,850,596,300,781,723,029,405,267,901,
639,725,682,944,667,374,666,614,786,550,754,981,477,899,167,670,503,932,092,
227,181,793,107,456,999,084,205,343,487,243,100,468,999,165,926,496,007,785,
529,981,999,113,336,777,695,885,415,258,762,777,764,313,893,305,354,577,749,
103,259,591,767,821,295,583,057,803,970,379,984,404,810,115,949,300,422,521,
378,297,078,340,894,345,802,166,074,987,968,253,935,233,791,301,969,092,737,
339,855,706,196,909,806,154,135,247,733,851,673,122,019,430,641,761,836,920,
466,407,667,722,585,885,638,875,718,049,858,031,710,355,737,130,317,254,376,
423,393,514,702,550,611,274,727,287,693,657,485,920,249,510,387,232,145,958,
091,515,531,964,954,320,679,089,143,690,919,140,941,223,441,281,015,213,901,
952,286,705,895,882,262,636,779,201,412,005,913,050,450,663,927,871,644,345,
062,373,684,426,153,031,284,088,439,652,383,723,207,159,991,146,201,347,972,
086,690,684,101,238,245,113,768,312,091,673,247,011,914,393,254,800,513,317,
932,963,402,432,074,412,895,490,335,264,043,531,365,694,233,931,237,414,761,
702,828,342,803,323,259,468,308,215,961,726,888,427,131,690,255,149,103,825,
256,385,227,993,335,688,232,875,510,613,992,997,096,340,753,421,078,384,320,
530,672,919,396,492,916,509,554,204,909,687,582,788,979,747,950,641,729,662,
570,521,756,203,490,806,684,037,849,707,920,501,563,014,547,381,021,241,024,
740,187,280,429,594,303,124,823,428,636,442,302,209,597,206,449,474,253,784,
192,358,945,428,667,912,210,137,335,762,022,136,316,672,413,235,785,892,934,
438,283,093,969,165,427,951,600,634,728,504,513,042,262,230,285,836,756,283,
757,440,826,668,978,363,643,206,462,345,519,871,349,707,847,791,274,144,681,
626,959,493,692,296,719,701,099,813,326,733,000,739,613,980,246,187,781,822,
530,637,553,841,988,080,264,537,182,027,706,647,271,209,305,119,835,439,827,
856,814,444,050,030,624,382,766,111,141,406,403,747,669,316,826,940,644,061,
131,130,307,090,031,865,687,599,518,370,948,749,049,276,154,734,084,637,489,
190,959,307,474,763,935,055,118,371,483,885,367,043,627,043,200,205,627,157,
752,705,272,634,573,730,343,755,552,221,398,379,774,844,577,080,975,622,350,
283,623,213,198,186,330,732,486,822,075,321,735,808,116,043,935,530,683,565,
885,060,597,222,726,686,967,428,636,507,138,603,992,953,589,847,237,128,662,
449,432,581,120,702,571,605,423,583,857,379,596,289,663,059,999,465,669,575,
852,405,593,040,342,049,663,839,369,343,299,108,382,649,493,926,393,616,444,
696,281,777,832,174,849,991,391,807,067,113,012,956,931,023,982,330,371,762,
098,742,196,354,921,496,903,540,095,714,319,205,660,939,035,023,822,704,070,
409,046,112,153,736,589,578,272,603,676,867,416,135,312,657,928,065,447,664,
037,550,426,654,841,838,434,613,424,652,241,826,323,105,128,638,150,941,705,
933,916,425,127,213,016,715,521,322,016,287,762,794,516,782,828,565,371,640,
300,248,306,046,517,044,223,424,835,529,401,047,386,470,897,309,252,321,621,
004,916,489,011,722,165,973,269,963,772,305,617,090,662,495,561,299,909,730,
603,287,152,887,148,590,932,263,311,751,093,167,783,641,387,825,726,636,530,
393,618,908,365,460,332,975,713,880,029,812,277,466,765,889,483,507,199,176,
959,869,709,323,837,388,626,230,957,515,783,209,562,487,317,988,793,973,933,
564,115,254,541,397,165,623,900,057,844,397,791,670,427,730,503,155,893,036,
272,897,403,982,763,087,180,126,437,500,141,359,083,255,982,708,895,935,838,
237,863,223,171,559,357,481,875,249,716,193,677,683,038,121,750,122,893,825,
954,959,642,041,967,897,830,938,186,016,500,156,752,357,507,412,705,343,093,
182,215,695,278,622,287,105,038,398,241,205,958,196,326,993,574,223,503,347,
601,716,506,480,709,043,676,188,896,688,237,310,449,598,772,774,430,109,451,
180,311,935,414,211,212,237,575,629,348,219,886,770,812,772,422,526,159,125,
781,180,098,185,034,452,275,746,023,285,886,174,614,950,934,572,428,875,903,
175,757,117,422,040,101,655,747,496,979,022,365,874,553,449,093,703,813,668,
273,154,641,639,790,536,337,956,717,945,209,675,071,013,541,561,351,286,027,
187,804,573,542,890,544,436,835,534,510,935,074,763,445,009,308,052,069,071,
819,096,043,538,181,793,384,165,331,428,587,429,258,184,061,070,194,420,850,
208,851,873,624,092,398,726,014,457,880,069,440,684,646,344,651,869,517,144,
205,798,682,695,555,351,531,892,489,663,868,367,652,879,054,650,309,423,260,
161,823,662,576,220,904,329,146,580,282,063,644,722,061,214,362,531,461,898,
454,133,035,889,243,195,437,402,660,370,043,252,834,759,550,784,443,018,273,
262,254,720,261,666,008,326,308,544,397,506,960,554,495,995,579,701,434,031,
287,241,005,589,487,439,226,202,936,638,981,450,524,993,813,737,016,833,092,
049,418,463,578,310,098,122,563,802,530,424,012,316,078,891,560,669,731,206,
767,899,002,260,485,682,462,116,348,084,632,402,923,918,758,638,811,120,784,
753,450,398,856,547,473,154,675,946,676,534,622,307,435,836,024,811,734,911,
318,477,906,685,958,002,968,284,481,224,998,614,348,612,820,575,099,465,035,
508,160,834,977,917,190,154,786,864,795,712,746,970,453,704,835,899,837,885,
166,816,101,304,657,447,098,684,742,260,008,923,038,984,536,668,895,695,667,
654,980,139,031,611,929,103,390,034,347,009,606,061,927,869,339,951,736,434,
734,376,475,144,588,965,216,941,781,779,479,858,187,867,398,107,166,592,938,
852,111,622,314,284,695,251,100,064,630,389,223,100,935,058,920,325,001,245,
525,833,631,054,798,942,918,046,850,218,142,008,585,139,761,814,058,589,341,
420,304,903,067,331,909,865,866,222,674,585,624,031,992,192,232,955,558,587,
917,630,010,917,039,719,498,390,368,257,868,163,772,484,362,626,242,491,676,
856,327,784,241,797,300,485,146,753,981,171,485,356,904,976,243,035,960,087,
010,328,582,123,915,701,916,176,260,991,453,889,928,208,749,235,189,008,209,
232,114,282,179,070,568,434,056,775,496,308,027,614,903,268,586,281,890,381,
261,463,237,109,920,584,336,250,256,101,829,274,712,739,591,112,891,664,235,
671,909,045,153,848,118,410,418,164,949,900,250,519,035,803,799,821,816,306,
401,964,125,902,456,823,037,055,427,760,299,178,999,759,234,000,692,581,090,
502,833,736,802,830,443,757,926,756,975,121,786,592,469,581,003,434,180,433,
812,368,788,769,833,960,822,612,663,750,081,369,898,151,308,431,566,469,863,
236,665,588,634,133,533,756,677,919,722,926,177,287,641,509,864,660,828,118,
722,572,038,082,176,802,988,397,025,584,805,268,190,211,703,371,618,208,151,
428,611,309,290,304,778,978,592,224,427,580,100,563,128,747,753,504,935,556,
697,203,682,623,302,296,877,647,282,824,680,176,639,006,076,892,644,142,784,
997,227,637,451,335,868,723,893,980,195,425,117,163,054,704,498,778,921,407,
519,418,687,506,848,194,747,027,622,199,388,527,207,814,055,135,388,462,406,
720,992,493,396,239,278,435,169,047,568,797,067,330,468,360,089,351,072,041,
883,429,450,673,865,250,884,113,372,450,207,716,460,162,831,915,565,190,551,
787,331,580,876,458,611,331,930,124,728,526,936,406,758,081,923,410,371,528,
403,136,953,385,856,543,518,821,558,789,774,831,579,500,144,852,646,382,927,
184,412,117,054,506,544,137,431,069,875,478,558,804,313,332,620,857,561,886,
755,110,458,402,100,578,627,675,691,390,952,476,146,492,882,247,986,891,261,
328,393,212,133,466,370,572,370,979,158,824,915,262,799,791,398,787,040,198,
130,931,964,787,637,274,213,412,130,701,905,215,587,359,545,216,007,240,108,
803,595,314,187,974,326,616,986,811,886,554,308,071,269,800,528,538,358,904,
927,425,950,260,746,185,848,560,727,740,173,712,192,315,436,099,778,194,291,
950,232,931,260,455,287,250,220,762,732,253,064,715,480,074,526,304,238,051,
033,763,584,002,180,823,605,697,524,382,584,505,672,616,466,183,894,589,301,
601,887,918,031,107,608,189,313,754,804,803,039,452,130,200,191,428,059,974,
481,130,147,223,873,774,484,828,705,928,874,068,419,977,269,776,302,785,567,
103,112,740,643,717,131,708,861,511,669,837,644,793,548,177,004,894,276,020,
771,280,362,593,390,418,903,248,142,606,823,161,768,063,346,874,824,786,554,
363,846,568,776,306,434,558,012,802,507,006,100,868,348,209,932,977,515,300,
094,950,450,512,897,466,110,327,563,111,254,291,584,861,034,184,588,098,067,
892,958,518,038,522,218,404,050,917,856,664,199,979,973,443,900,816,177,839,
141,289,367,629,105,621,555,191,065,023,283,642,193,294,441,915,497,856,459,
420,359,879,878,013,285,785,983,317,856,379,079,903,700,350,796,913,239,223,
737,408,360,653,049,293,490,884,086,143,223,031,188,149,803,746,142,682,182,
312,439,837,607,863,190,367,996,506,420,816,728,299,089,546,128,950,510,873,
650,322,209,854,829,384,540,127,194,901,172,565,745,948,969,056,253,633,260,
830,964,492,669,993,209,159,992,896,616,267,108,673,769,975,890,257,849,034,
907,880,336,488,556,588,086,351,771,438,329,438,343,558,846,700,029,926,450,
528,294,532,441,291,618,508,203,648,535,002,977,425,479,164,349,564,287,694,
896,691,462,434,203,070,219,344,900,702,114,639,412,744,323,240,896,281,200,
819,395,302,307,366,909,877,249,043,009,995,510,486,247,630,020,715,241,876,
473,775,767,821,357,218,183,794,759,213,760,911,058,559,835,723,000,348,746,
238,572,086,432,712,135,763,718,878,928,467,900,888,676,204,528,654,596,287,
998,799,849,476,353,760,984,469,960,429,632,368,648,976,991,445,836,458,205,
288,895,544,308,409,919,048,623,217,336,404,234,819,372,044,175,023,038,060,
035,669,157,911,644,800,720,389,107,945,575,589,033,346,219,084,543,441,122,
133,679,139,671,004,716,406,949,478,970,336,782,621,086,546,243,005,721,260,
457,590,558,186,538,750,120,432,970,676,079,028,282,995,003,688,954,886,324,
114,011,494,035,641,258,701,941,431,870,332,493,466,900,009,109,731,278,890,
321,851,810,748,244,253,439,598,364,632,935,524,137,779,805,560,514,709,685,
090,579,670,940,307,584,395,103,651,018,054,956,261,266,740,406,111,559,588,
763,352,628,476,605,414,304,380,276,003,030,548,837,990,942,822,715,765,462,
004,686,774,765,082,024,918,075,143,094,293,986,130,780,431,058,555,197,515,
629,789,859,639,232,734,900,735,625,651,883,360,249,331,560,931,791,808,869,
998,689,573,596,248,594,902,889,771,523,046,348,946,647,925,785,367,706,435,
481,087,311,707,915,298,142,028,041,665,821,191,701,747,328,674,890,590,744,
056,545,090,615,292,254,051,235,153,322,821,484,941,942,036,109,658,079,215,
980,750,678,805,311,920,098,276,707,164,335,141,641,651,203,156,160,741,596,
789,755,827,911,543,703,382,647,558,395,574,821,520,402,296,047,919,394,692,
772,088,062,155,886,334,013,457,622,067,984,512,435,321,431,058,646,327,888,
427,195,071,933,688,021,886,807,436,293,293,487,372,267,301,152,113,951,236,
143,227,550,773,951,297,977,483,215,217,959,599,875,683,926,256,058,401,046,
372,013,702,708,154,066,722,624,157,471,913,563,690,511,441,673,068,369,548,
033,373,635,303,172,853,089,208,979,007,476,677,766,824,413,309,967,022,397,
103,143,954,057,370,347,697,012,979,352,496,971,708,530,116,181,036,516,205,
935,643,331,581,468,825,737,562,124,469,134,675,040,203,543,081,397,535,007,
573,059,437,516,885,874,706,704,584,063,605,857,671,863,212,049,410,084,643,
248,465,511,413,152,697,652,507,559,464,674,644,795,071,357,322,211,249,144,
952,758,417,042,662,096,083,351,112,254,277,336,604,644,404,564,921,921,980,
599,596,331,374,999,277,849,707,691,165,472,520,065,853,932,066,879,247,198,
221,389,985,384,951,454,496,466,273,453,381,932,648,002,589,016,904,506,207,
686,565,946,130,276,909,863,251,385,648,748,351,865,460,217,648,750,441,321,
548,963,818,894,343,358,943,356,084,052,790,421,479,497,193,730,599,655,765,
712,350,465,352,893,888,142,515,347,214,364,399,742,357,341,546,927,189,191,
019,647,469,021,813,050,599,900,292,683,065,749,406,347,647,197,399,787,241,
297,754,380,144,723,905,103,134,594,921,866,294,638,370,819,155,591,130,710,
324,297,756,849,795,492,788,649,219,943,565,789,417,847,591,615,082,762,939,
276,896,887,120,232,309,629,466,609,323,305,940,661,816,099,521,883,679,654,
919,990,360,550,684,479,178,937,780,596,862,018,633,764,363,368,176,417,336,
467,702,292,443,475,637,132,701,918,075,933,385,414,747,531,683,708,593,637,
255,105,096,847,841,473,465,278,169,014,746,177,841,521,187,334,609,051,902,
531,796,249,851,313,646,270,834,357,827,224,535,061,374,365,322,962,131,814,
643,917,939,191,598,256,737,110,365,033,878,399,909,141,032,745,824,362,931,
596,814,412,857,679,829,422,790,943,181,992,703,610,928,938,508,301,818,973,
775,272,846,277,966,915,509,505,428,169,134,900,710,309,350,984,717,568,304,
566,752,988,100,245,133,043,871,379,457,891,798,230,564,431,363,122,522,089,
008,523,531,281,076,604,890,073,849,159,909,042,866,598,687,079,756,113,815,
834,365,123,427,282,293,255,638,389,100,194,486,392,676,830,764,980,307,977,
740,035,563,899,089,744,182,362,047,707,471,750,150,739,898,410,180,964,345,
908,813,968,533,849,346,830,107,598,818,623,001,518,788,390,502,577,178,132,
567,087,322,183,442,435,988,294,126,893,019,457,439,460,136,281,918,015,363,
422,230,252,548,273,393,072,113,093,173,960,513,926,983,246,699,798,644,514,
728,451,245,169,770,482,632,600,536,174,195,677,165,947,973,881,335,361,128,
336,001,721,207,463,069,572,945,345,092,988,907,226,305,204,419,641,528,001,
372,513,380,187,580,135,168,927,629,035,273,852,408,869,040,476,612,745,884,
101,665,058,703,953,194,824,741,963,496,824,235,364,806,556,974,067,834,808,
886,049,528,828,383,910,798,495,488,714,205,502,194,651,936,139,240,004,525,
055,142,186,108,578,483,296,507,891,589,788,300,750,496,007,257,936,117,368,
804,509,448,721,852,618,326,606,274,490,271,853,643,685,220,402,897,668,590,
960,856,908,571,084,800,507,420,526,774,486,392,518,467,795,256,531,819,496,
096,465,159,439,135,078,710,199,544,555,235,076,562,076,409,649,973,278,305,
127,442,897,908,033,233,589,630,923,112,688,900,092,494,294,833,547,083,327,
915,690,138,692,179,889,057,667,376,929,724,745,153,607,079,637,694,426,736,
019,951,101,188,856,931,802,612,161,868,831,563,669,440,653,813,507,290,209,
130,924,595,229,156,776,046,751,332,367,638,985,442,961,549,744,568,254,176,
406,091,526,429,934,709,298,659,065,953,124,440,625,435,890,683,274,328,099,
455,097,969,596,987,190,080,529,469,349,743,177,817,126,629,440,197,927,706,
877,558,514,889,601,362,682,031,437,999,322,503,654,094,076,689,150,936,973,
127,879,290,507,123,509,327,645,743,480,941,801,451,888,775,749,943,200,047,
676,317,712,558,693,917,137,214,006,945,510,430,000,940,521,680,157,339,338,
505,127,163,462,494,992,404,141,965,013,800,064,518,579,258,783,375,789,796,
909,372,692,247,222,413,729,246,741,803,908,504,832,321,157,662,477,241,761,
120,169,989,160,303,625,430,094,064,826,175,384,899,628,113,789,121,576,286,
509,923,797,327,302,920,650,489,139,466,073,993,916,957,111,156,229,160,996,
142,209,917,477,095,725,262,597,581,890,572,005,257,270,262,073,619,117,552,
093,765,739,361,340,937,228,009,347,889,736,849,836,009,701,931,770,099,229,
393,766,788,587,876,516,495,479,444,810,555,534,296,887,563,882,287,691,388,
012,456,826,731,151,344,636,733,129,549,501,821,431,397,265,978,615,263,856,
791,732,194,990,414,733,920,509,288,133,923,740,980,215,654,171,119,912,355,
704,275,668,608,333,014,091,136,279,352,627,295,813,929,676,300,376,063,375,
338,610,927,536,619,019,006,044,434,520,679,061,051,242,088,874,999,293,900,
928,913,517,071,849,237,041,707,042,275,330,247,586,644,642,428,796,369,507,
031,161,526,423,622,635,341,163,054,120,335,965,365,431,958,028,249,705,920,
759,424,968,809,738,857,399,331,373,087,802,316,379,274,628,541,752,354,823,
249,678,207,960,257,919,088,320,974,086,281,067,128,152,605,989,757,585,671,
139,596,034,039,323,324,059,663,831,868,482,852,521,549,115,284,058,562,793,
210,584,481,145,240,164,093,792,350,748,135,753,840,884,670,076,723,828,773,
149,959,459,770,471,845,319,835,473,906,835,239,622,202,785,094,612,840,371,
315,312,408,063,171,564,930,493,039,380,024,837,604,090,666,160,273,682,651,
612,615,606,610,003,484,156,167,404,859,973,992,696,155,607,246,735,696,415,
470,082,989,295,926,571,468,484,006,953,842,664,943,921,010,668,099,953,092,
484,885,719,026,381,447,903,499,383,882,770,759,445,181,085,338,400,557,030,
979,039,797,228,393,635,162,656,640,644,625,641,868,691,741,821,100,008,198,
130,239,688,681,934,995,536,271,153,799,162,755,249,058,871,425,625,473,091,
665,442,866,713,258,342,586,303,052,369,721,493,760,517,793,459,237,350,527,
750,458,053,096,089,370,461,104,397,922,932,464,663,218,862,612,608,477,708,
859,364,817,853,551,373,419,789,117,310,869,541,621,566,073,531,977,607,994,
204,947,389,497,459,922,978,564,932,033,170,901,342,644,905,570,239,934,369,
282,694,551,320,336,417,628,837,504,487,158,403,060,833,232,645,385,457,973,
450,996,540,784,768,146,977,355,723,888,093,025,022,091,759,364,416,951,874,
079,741,578,396,511,093,567,964,083,178,880,392,376,329,595,490,375,689,780,
883,973,120,807,411,752,579,178,130,892,372,632,689,089,417,280,372,415,335,
277,163,519,596,579,846,139,204,148,767,383,785,267,082,768,143,494,574,649,
798,223,653,231,896,316,770,535,850,939,890,774,146,884,817,618,109,424,008,
663,824,658,179,618,549,520,142,451,599,237,855,590,815,419,484,625,389,809,
475,856,698,727,282,022,026,328,097,246,031,750,111,524,476,652,738,228,354,
636,499,966,436,952,434,566,302,323,511,319,606,158,611,075,113,116,251,040,
135,144,560,604,765,356,445,464,845,459,163,320,420,327,350,909,186,682,959,
196,783,305,389,785,447,836,528,124,876,862,137,549,234,640,512,753,096,784,
534,816,249,618,053,728,643,578,042,707,538,479,492,548,805,226,285,573,999,
868,704,964,668,060,648,770,155,947,935,780,469,555,302,954,630,293,961,304,
572,028,724,582,618,938,828,780,451,851,940,815,778,522,172,615,560,339,230,
295,771,252,860,178,022,538,331,597,197,312,125,373,813,876,021,961,474,137,
896,948,947,256,697,519,736,075,023,823,513,181,186,909,181,688,032,458,169,
420,082,888,098,934,955,802,903,913,155,379,744,725,834,220,482,393,325,717,
139,957,738,843,998,615,373,808,773,747,134,918,800,684,407,128,654,452,555,
027,768,417,250,883,079,735,390,177,959,683,712,864,760,499,259,223,425,000,
844,035,341,245,672,681,943,624,953,866,855,800,304,613,321,410,591,522,158,
345,658,688,575,331,318,821,929,869,568,935,332,865,456,079,627,676,732,709,
593,484,858,289,325,981,123,143,434,450,848,887,138,286,580,654,027,680,178,
937,857,627,845,945,141,515,919,630,804,990,667,764,370,791,222,075,843,686,
738,642,827,469,911,263,607,387,719,912,121,111,135,050,569,930,983,651,646,
549,145,966,716,031,439,207,422,347,543,773,918,972,891,626,608,102,507,699,
086,781,578,422,063,620,356,857,991,979,786,331,181,570,481,443,819,035,639,
615,670,425,895,630,600,669,313,980,413,920,906,801,645,054,807,535,140,924,
656,246,263,489,825,216,347,840,152,014,881,658,844,014,021,845,358,641,890,
331,933,761,020,114,783,575,120,404,840,037,671,487,733,402,061,199,643,755,
241,478,292,493,844,982,644,684,709,971,838,234,007,253,594,051,411,068,858,
613,915,512,302,869,594,271,604,035,635,513,486,510,746,662,930,005,188,742,
224,318,964,410,563,905,592,627,537,132,904,695,563,491,707,720,419,051,069,
696,463,973,177,782,617,297,721,719,785,520,784,219,055,697,299,214,143,734,
365,200,427,643,948,495,236,688,895,599,832,003,128,959,708,124,566,055,422,
242,402,556,969,424,745,726,076,084,404,795,731,569,540,438,205,886,804,620,
525,600,932,253,854,969,802,260,652,291,419,125,700,136,225,849,182,476,696,
700,542,871,618,610,601,831,788,512,197,377,949,414,671,559,898,171,030,196,
108,160,736,056,816,153,184,627,317,921,759,929,744,154,817,461,162,807,479,
332,767,764,252,329,278,569,107,450,910,614,293,920,958,589,482,727,345,838,
583,276,034,727,429,266,593,455,858,926,793,685,893,309,422,654,498,810,591,
717,797,583,691,547,420,161,802,675,899,229,883,473,406,799,598,029,439,261,
304,869,649,592,307,923,125,613,441,235,677,256,284,374,533,115,991,706,229,
159,814,694,240,874,536,349,402,582,178,803,660,733,090,113,582,764,855,979,
905,857,887,945,274,091,435,247,049,322,961,148,938,543,985,036,264,630,032,
509,229,391,128,578,468,449,292,990,600,823,134,885,197,070,311,901,336,794,
543,794,711,910,622,005,702,343,802,573,804,884,536,954,084,094,330,209,952,
394,200,720,298,528,589,702,324,454,205,642,010,933,557,305,112,566,494,768,
784,132,708,357,167,849,291,578,766,647,848,826,319,697,484,213,865,711,958,
192,663,320,495,638,114,107,613,644,069,186,121,301,073,685,798,325,665,094,
361,273,514,913,789,596,398,940,612,383,945,589,347,432,341,309,648,240,748,
613,897,774,467,260,132,231,756,128,134,536,144,630,059,590,662,356,696,675,
913,884,360,152,652,975,306,498,902,929,075,013,040,366,543,047,883,462,015,
674,921,376,201,893,140,799,224,637,874,972,737,984,335,490,281,858,318,848,
730,400,789,169,202,363,323,892,368,077,996,357,852,462,107,373,320,162,246,
719,577,834,266,952,278,216,866,751,771,777,065,450,582,414,492,214,103,338,
230,084,199,753,535,021,968,638,745,903,697,404,874,792,810,410,957,575,109,
290,364,580,264,049,664,403,452,043,572,122,828,135,726,704,068,459,012,453,
958,715,245,720,675,817,086,594,696,120,813,246,855,147,817,172,629,520,131,
119,480,608,543,620,847,735,074,435,290,539,589,532,819,485,107,854,524,902,
691,039,895,495,823,615,106,158,076,613,993,294,468,754,395,850,168,897,525,
278,756,202,426,048,773,668,390,487,732,060,670,622,913,412,699,947,043,157,
025,101,830,190,940,718,124,355,415,305,616,151,496,224,182,188,992,988,384,
226,151,557,322,358,128,043,367,926,446,337,735,923,132,170,937,824,154,949,
202,749,594,865,579,945,758,567,855,467,351,320,723,273,344,443,268,819,219,
887,431,944,700,485,740,784,565,425,152,969,132,617,764,540,375,968,223,702,
262,556,619,211,228,686,808,870,521,089,781,584,728,859,552,268,418,191,646,
907,439,370,234,819,014,243,082,827,074,523,017,936,868,723,215,486,244,296,
044,263,116,761,268,399,821,086,509,493,958,122,989,837,363,122,343,733,853,
453,671,619,617,090,633,431,882,461,419,534,342,060,563,110,095,562,574,150,
888,332,727,523,832,267,093,790,987,586,766,052,316,673,504,718,059,652,736,
654,561,189,235,680,429,001,948,747,695,704,678,969,170,489,449,975,286,193,
179,495,541,385,824,940,738,039,012,441,701,741,257,471,263,860,607,649,005,
153,486,903,600,736,767,273,734,873,258,206,046,737,553,362,701,317,433,140,
081,702,847,953,517,164,448,817,762,235,308,759,358,262,451,900,946,551,890,
200,650,041,952,666,050,530,899,160,191,549,935,983,130,409,685,496,887,483,
739,861,677,246,548,220,500,404,696,390,957,783,711,197,712,596,263,996,718,
387,143,990,814,870,162,593,755,912,890,158,279,783,467,852,739,178,171,925,
524,346,025,436,343,894,619,658,753,187,923,512,151,289,609,861,011,895,181,
295,881,590,864,630,944,039,669,669,942,291,854,506,073,097,011,458,344,839,
718,709,554,622,169,295,798,245,734,939,205,331,232,198,318,652,217,863,318,
947,766,429,742,590,205,999,108,324,691,732,726,171,606,494,686,910,833,280,
295,743,361,677,279,765,640,032,309,752,756,008,783,862,226,682,668,795,795,
052,727,209,360,549,543,653,499,602,993,137,837,959,861,750,756,583,140,886,
333,974,703,505,269,094,034,398,492,976,100,171,976,252,612,776,431,964,449,
862,115,717,894,367,943,148,410,313,914,525,185,455,840,221,140,459,732,693,
549,916,366,304,920,145,639,880,831,132,507,144,292,848,217,763,127,874,437,
267,078,943,924,686,699,375,187,563,681,991,199,712,540,816,743,912,107,090,
660,848,051,830,664,772,474,945,062,487,040,047,024,940,024,173,486,986,264,
551,446,400,712,839,546,832,852,690,555,516,567,276,033,339,643,839,879,877,
444,707,617,681,736,215,246,190,623,765,198,420,047,418,390,073,872,472,299,
570,019,295,806,951,027,644,419,160,645,004,641,538,302,840,358,019,245,957,
608,611,087,205,253,666,009,182,803,211,125,397,791,250,418,241,810,605,895,
157,931,287,197,988,763,416,789,033,918,424,809,424,302,305,171,847,102,603,
876,960,119,603,392,456,404,165,881,519,011,176,139,939,096,664,255,290,206,
954,737,339,023,488,695,366,391,399,246,521,983,882,952,093,673,282,244,425,
152,363,258,506,708,151,406,903,059,672,670,232,025,977,246,214,209,875,693,
081,617,456,829,308,868,005,525,313,043,735,903,678,896,652,645,123,472,355,
013,676,144,122,521,300,148,883,942,297,864,578,967,128,687,200,751,120,923,
423,246,999,096,500,814,273,679,772,853,266,408,061,931,929,212,316,619,908,
291,648,215,244,883,293,654,616,213,932,214,463,735,872,241,208,562,530,129,
030,078,776,047,720,221,746,727,597,443,370,903,756,995,696,887,603,918,939,
443,054,991,483,362,650,151,671,233,777,254,056,142,207,029,537,928,653,083,
615,738,429,511,608,543,722,939,017,480,383,815,163,345,784,945,292,711,693,
646,763,294,030,144,053,452,461,768,459,715,624,863,993,688,783,643,084,977,
029,674,011,474,170,534,032,310,525,619,655,580,023,938,208,555,798,586,502,
616,314,215,085,013,663,148,781,332,447,783,916,333,349,676,034,458,037,006,
318,442,146,962,332,909,474,183,635,711,090,212,063,139,659,942,504,804,520,
065,318,545,944,906,072,376,994,485,755,085,041,389,316,760,757,415,205,158,
822,047,964,035,657,511,086,605,210,482,986,357,967,957,871,792,809,399,070,
972,420,948,820,202,783,719,235,780,707,503,218,620,497,585,351,739,875,306,
206,163,421,577,059,177,531,684,331,199,978,733,210,477,108,895,380,842,733,
671,152,791,754,351,750,680,230,675,315,987,178,515,207,080,232,174,536,828,
523,896,604,369,531,584,902,853,050,542,553,017,820,388,724,825,265,874,744,
184,385,017,831,431,765,653,170,790,165,754,432,515,569,662,827,577,225,234,
824,720,591,676,632,609,340,651,125,286,615,381,328,633,234,879,381,960,543,
808,095,767,255,170,457,920,891,118,912,783,663,486,819,903,594,805,050,575,
205,276,812,606,596,995,803,355,564,058,039,532,622,867,880,686,793,979,563,
545,575,927,823,213,678,539,650,523,838,726,825,662,299,813,671,728,592,015,
826,650,568,530,229,785,905,306,330,076,823,971,397,995,756,861,037,458,754,
587,846,025,771,970,641,051,311,737,336,427,094,762,609,175,537,116,285,722,
984,670,647,685,704,586,842,791,306,380,603,038,474,466,260,653,072,759,635,
318,298,536,146,107,057,324,139,770,235,433,171,278,796,675,678,203,341,191,
128,963,020,030,220,536,507,906,268,981,044,724,494,243,466,117,916,905,676,
664,404,358,579,914,087,321,595,587,438,770,436,815,138,372,113,122,699,627,
314,976,856,457,867,686,683,263,261,714,310,547,151,622,447,297,156,153,839,
756,575,943,236,367,191,573,633,467,822,168,183,058,924,170,146,033,703,190,
147,413,055,859,587,520,089,198,436,588,508,224,033,526,203,883,249,348,888,
050,922,954,537,058,954,146,785,390,014,426,330,132,944,225,273,605,245,253,
912,178,791,784,486,899,564,820,775,115,325,613,027,088,908,479,449,104,246,
864,857,051,784,261,622,543,462,047,443,630,358,720,489,446,841,988,712,982,
298,863,800,226,570,522,362,666,961,660,282,662,489,052,331,933,397,274,916,
280,980,731,791,509,626,556,335,561,397,227,682,291,239,764,111,784,208,051,
793,855,558,756,640,882,263,957,938,038,153,750,436,430,499,599,680,609,442,
432,907,712,664,184,006,066,464,191,039,421,337,523,489,687,240,806,859,835,
515,278,012,983,634,765,731,165,037,774,731,197,026,358,000,019,430,926,121,
654,499,777,080,831,223,676,858,867,619,170,248,320,619,685,315,294,053,881,
565,156,041,581,137,371,207,988,132,321,650,757,328,764,419,961,428,516,093,
171,834,582,930,986,894,530,850,357,839,835,710,398,358,878,267,675,093,137,
256,630,705,546,055,937,632,958,937,776,329,342,736,245,674,115,696,842,186,
189,676,166,677,770,603,895,212,972,937,509,935,587,112,658,197,034,934,840,
041,815,673,647,842,773,538,232,910,985,114,853,025,276,184,563,053,899,702,
195,125,418,296,948,452,147,222,912,526,695,788,090,086,848,893,734,746,536,
529,316,953,174,594,626,381,088,984,244,983,787,078,516,029,767,354,828,347,
560,030,751,845,422,588,172,144,599,029,885,017,676,456,271,583,035,462,418,
225,545,362,457,351,056,103,328,758,815,253,083,151,794,697,360,208,248,693,
224,064,711,863,824,580,824,656,551,343,405,070,683,198,084,315,951,721,702,
377,818,472,759,721,979,379,130,599,962,322,207,696,246,502,451,288,307,926,
455,505,586,788,931,983,947,272,384,354,089,471,282,525,765,228,523,022,299,
111,302,051,857,174,431,384,654,671,928,497,132,989,559,858,677,671,500,312,
591,052,417,500,247,069,859,701,481,684,046,080,524,192,231,050,925,531,710,
983,240,977,516,528,508,380,015,684,802,540,991,107,398,880,970,620,647,368,
241,080,682,196,763,110,320,010,435,113,510,203,551,334,219,312,530,242,103,
669,451,110,215,883,250,980,907,844,415,031,488,648,957,061,912,133,969,582,
117,738,552,777,038,178,828,321,644,062,476,968,889,490,709,247,295,900,119,
719,422,629,990,710,347,024,085,064,923,891,799,576,006,493,821,775,389,153,
856,929,205,909,291,166,597,414,998,564,118,532,682,056,586,672,732,952,382,
172,183,694,544,628,722,126,890,061,801,848,405,828,895,948,704,797,661,991,
105,024,016,507,519,996,615,509,641,937,622,479,756,443,649,282,569,954,653,
744,833,376,345,797,600,549,372,298,806,296,341,082,397,223,717,940,007,952,
775,490,663,594,752,778,192,562,118,284,725,847,122,682,106,060,842,531,520,
543,330,648,758,717,390,213,962,258,655,278,290,517,279,108,702,909,167,640,
500,726,596,715,308,807,341,518,888,788,569,678,038,018,800,192,872,074,201,
149,650,006,960,014,041,780,580,505,000,695,252,707,341,444,068,110,331,519,
050,824,425,847,253,383,725,554,477,457,062,046,692,623,051,028,782,082,542,
132,407,466,376,499,882,553,607,234,232,868,177,798,184,909,773,912,182,517,
276,499,046,593,254,990,384,719,947,568,010,736,353,501,892,223,503,095,942,
886,888,366,046,496,461,727,162,191,115,968,938,484,736,890,574,682,253,392,
375,307,107,709,330,343,643,019,300,022,333,748,135,866,040,065,539,918,691,
052,265,720,261,409,002,222,044,016,076,624,104,775,753,441,474,692,925,505,
708,467,352,917,030,272,026,540,251,012,990,511,597,834,116,837,526,689,261,
985,796,031,535,827,681,564,245,582,453,507,312,784,296,821,764,798,669,995,
483,100,824,149,392,569,370,935,332,002,658,626,739,107,586,467,148,563,302,
004,017,821,308,826,432,466,560,632,641,609,322,230,235,106,116,735,613,965,
723,863,569,993,728,495,549,271,899,889,325,280,571,101,215,336,789,410,524,
122,129,803,633,047,954,110,198,728,936,734,305,530,655,179,138,451,990,474,
355,889,370,321,429,563,254,265,493,615,814,685,990,194,414,856,062,597,040,
811,844,032,701,637,828,489,649,227,649,099,926,504,694,644,429,542,464,186,
166,366,429,745,973,528,144,640,323,826,874,020,693,731,396,287,766,124,465,
020,574,617,227,280,362,496,313,527,944,747,737,118,442,858,851,330,940,465,
484,052,736,970,865,608,320,253,356,574,465,853,402,066,185,682,377,194,396,
721,728,364,406,342,087,507,254,335,359,592,785,529,400,295,093,091,075,507,
596,518,199,784,108,477,083,467,478,230,929,225,155,060,847,106,664,862,508,
548,314,239,923,720,835,580,471,275,310,407,481,988,911,222,480,724,245,597,
785,529,612,977,523,888,521,158,879,723,108,126,360,676,221,225,627,566,921,
139,767,335,426,759,936,721,067,823,674,109,463,597,020,218,065,689,009,812,
862,561,332,599,426,756,673,928,460,937,350,873,568,562,089,782,913,999,372,
944,973,916,612,439,435,021,368,572,851,589,812,656,655,271,081,959,715,078,
677,615,606,023,360,010,531,795,969,901,125,311,915,800,005,082,003,600,313,
155,365,789,339,362,382,674,682,803,745,890,829,400,508,004,180,132,513,924,
168,470,491,390,122,028,199,869,078,177,891,548,158,302,250,270,752,697,703,
198,630,725,743,913,828,539,747,394,564,948,276,811,305,003,761,753,164,032,
578,791,531,986,417,893,505,510,213,848,725,144,406,160,868,943,840,343,391,
782,062,164,138,681,764,955,405,864,030,634,870,381,681,460,607,332,509,902,
328,977,945,614,729,148,285,598,789,834,152,336,883,209,980,844,546,522,719,
344,064,367,661,546,187,381,636,456,113,286,363,301,447,505,868,545,859,271,
997,868,719,948,326,076,978,423,053,466,168,441,122,287,435,849,212,328,532,
889,016,719,734,242,977,700,440,329,337,031,882,548,813,893,820,632,166,751,
486,287,736,205,404,248,729,126,235,083,979,261,813,067,156,129,343,064,038,
595,350,263,307,165,418,102,910,839,135,071,221,430,744,109,891,694,133,629,
826,677,429,563,923,186,299,782,307,271,143,337,858,125,105,222,754,166,260,
217,341,921,369,075,549,300,808,817,493,301,251,112,100,360,805,967,056,185,
889,331,435,941,935,647,896,026,097,108,726,288,799,828,613,745,269,586,977,
520,177,908,304,204,322,960,628,959,789,840,109,107,245,901,215,756,276,302,
245,364,221,973,018,124,309,647,442,555,931,475,961,955,428,751,941,700,117,
648,171,379,149,227,962,919,345,809,669,867,251,112,179,420,048,864,800,209,
315,086,099,153,626,397,179,061,434,847,980,010,810,165,845,868,033,825,266,
288,081,984,771,568,300,402,121,297,544,783,120,485,901,374,972,376,224,846,
397,890,107,609,557,028,087,629,001,085,751,826,248,531,431,133,798,812,649,
000,675,850,291,328,127,112,215,507,832,932,004,032,286,697,047,427,372,830,
962,486,635,479,097,762,169,769,638,284,465,601,065,938,945,120,629,777,611,
141,516,263,825,322,781,644,390,613,420,522,944,001,385,945,627,910,137,083,
134,355,982,059,540,648,585,107,074,618,687,674,683,212,719,148,809,890,123,
773,925,229,801,077,139,156,411,765,602,693,939,416,939,109,290,519,120,210,
887,031,994,597,907,581,952,582,495,409,101,373,342,992,942,436,130,501,569,
989,746,962,480,251,229,368,178,585,111,801,446,720,865,683,447,943,418,961,
716,975,480,547,163,963,190,415,021,321,210,162,518,890,966,354,749,905,494,
288,938,752,108,783,988,466,215,315,120,618,925,990,821,101,161,098,250,156,
813,334,433,966,388,838,559,012,197,826,940,109,445,314,350,865,368,438,259,
239,811,231,302,690,455,830,741,207,999,667,443,502,720,798,297,824,779,308,
788,258,161,033,339,089,891,158,844,336,662,556,970,823,981,233,898,661,181,
740,745,036,451,761,640,711,681,847,257,496,839,383,218,672,376,741,848,609,
447,564,404,808,012,222,704,937,398,589,012,434,753,847,629,011,864,367,004,
268,937,521,894,455,906,662,789,964,598,894,436,682,206,481,770,746,734,007,
737,688,964,182,251,587,707,036,474,544,490,568,937,924,581,565,184,303,283,
243,672,065,591,120,179,979,154,815,539,362,846,127,096,022,157,841,739,059,
783,256,690,605,469,792,703,764,909,354,642,242,652,155,360,126,738,344,618,
863,540,511,322,413,282,571,382,832,664,394,778,060,009,775,824,860,625,710,
861,491,314,623,717,605,830,569,139,628,053,628,196,787,557,687,295,149,488,
346,626,128,391,076,266,558,203,922,968,014,260,390,692,017,142,751,222,409,
476,938,733,954,610,824,203,665,597,849,541,943,972,511,588,977,461,815,978,
985,912,234,897,274,700,185,626,130,638,958,401,793,496,108,520,983,232,042,
322,648,894,733,472,582,733,311,197,606,130,301,241,015,791,989,507,291,230,
593,616,702,294,612,038,918,517,644,658,036,347,930,650,363,162,913,984,431,
402,797,310,931,520,478,230,026,718,611,219,408,386,584,727,451,764,339,448,
302,293,034,651,543,724,257,808,293,791,394,096,294,221,601,976,893,113,608,
338,710,488,318,315,055,003,465,105,243,268,174,274,525,287,210,380,621,332,
846,484,288,274,754,366,554,839,928,671,290,086,856,908,051,409,466,767,383,
622,479,923,213,709,892,701,464,144,475,946,119,314,489,495,818,560,585,842,
546,187,540,063,077,836,115,041,356,898,491,571,930,670,713,671,923,777,431,
515,405,578,224,838,819,525,576,140,730,110,068,749,469,318,941,203,237,846,
565,623,855,638,256,169,447,503,722,241,018,463,357,832,943,836,736,154,912,
065,620,475,049,973,023,410,511,607,847,232,886,724,071,342,286,035,091,366,
702,098,885,388,591,470,415,439,265,826,208,472,373,537,719,478,537,503,304,
123,903,162,597,991,732,848,995,761,809,458,776,289,565,078,855,467,924,677,
404,340,805,181,466,419,589,273,651,979,767,841,027,341,008,515,097,232,832,
392,340,623,197,192,571,424,207,209,933,927,589,669,194,265,527,494,248,652,
101,589,827,540,005,193,010,369,244,061,426,693,435,336,769,981,074,404,033,
677,258,675,989,370,575,440,517,937,416,646,031,055,242,041,044,459,637,123,
648,028,012,047,083,733,471,011,083,744,684,789,532,602,787,680,818,223,345,
691,944,417,426,002,552,214,872,862,183,918,665,474,971,013,346,568,707,985,
807,730,842,469,628,447,377,150,144,337,129,152,185,411,073,830,681,048,425,
317,372,519,421,791,773,175,547,788,271,818,276,571,922,613,699,798,864,212,
370,354,736,696,737,473,866,905,315,829,614,987,568,943,227,356,273,555,213,
548,795,809,718,713,492,858,567,844,681,858,560,466,039,255,793,532,541,311,
486,100,621,173,166,761,398,949,737,841,780,777,011,244,414,451,344,446,129,
530,440,495,241,415,595,197,827,592,054,645,005,103,022,986,232,648,723,040,
484,589,172,590,222,322,637,752,502,312,820,655,342,286,841,867,917,469,363,
437,122,672,388,428,291,752,561,683,284,712,902,673,829,624,264,068,542,804,
369,452,952,708,273,835,851,230,945,058,076,097,578,377,353,001,647,688,414,
663,775,303,741,316,542,180,227,267,363,894,920,337,366,942,014,264,341,944,
127,215,363,743,185,717,503,049,415,808,681,272,228,217,869,965,626,197,177,
784,931,882,216,803,657,300,590,586,692,929,653,191,588,203,814,198,800,995,
209,094,929,831,441,364,238,551,278,626,336,914,599,300,014,555,223,456,348,
164,125,478,727,725,374,818,827,478,387,568,181,249,326,703,770,773,560,845,
268,945,895,081,154,680,831,934,978,880,846,708,107,288,171,946,639,442,292,
382,037,780,669,495,000,526,354,962,965,127,358,948,230,176,762,347,277,377,
358,510,198,810,979,917,484,099,666,911,332,730,715,936,591,514,099,623,544,
639,690,357,106,361,267,757,239,736,435,553,897,696,169,475,342,693,593,969,
165,785,451,410,754,916,717,816,554,850,022,651,601,607,346,959,849,268,940,
770,181,861,848,388,063,816,306,895,230,258,249,285,363,498,407,795,942,734,
155,145,274,985,459,609,688,332,048,099,433,967,306,219,619,358,178,306,873,
764,070,552,448,958,228,978,280,737,631,616,241,248,084,873,173,593,947,806,
247,340,961,705,152,135,402,877,086,761,128,568,565,285,713,863,928,254,975,
619,257,006,077,808,131,522,222,954,125,044,069,979,716,584,769,735,393,955,
580,927,040,610,514,456,216,411,098,224,413,936,006,378,896,467,430,805,593,
303,019,637,882,773,993,902,148,125,879,341,561,459,806,589,104,501,605,209,
752,141,316,647,773,090,852,756,470,772,727,129,236,476,894,798,587,573,996,
608,784,578,650,090,638,952,577,787,646,608,232,085,986,653,057,181,736,753,
091,483,390,745,284,457,871,111,515,389,408,940,286,418,085,244,316,166,521,
399,249,945,630,492,203,885,691,133,027,618,210,020,315,535,563,006,543,535,
019,615,913,917,514,893,565,645,224,620,057,122,116,494,158,413,848,385,091,
052,691,511,658,971,189,871,079,002,204,454,085,355,618,231,389,275,986,739,
396,037,040,914,672,429,379,735,935,720,900,999,551,331,867,697,887,152,891,
995,910,912,669,732,612,401,191,782,775,286,129,625,987,953,461,028,865,251,
794,603,158,659,892,686,290,107,734,430,414,622,249,239,185,104,267,500,299,
143,234,332,508,297,191,048,293,736,027,282,767,001,044,793,305,694,942,290,
988,275,712,441,220,229,310,229,446,755,527,216,987,305,659,537,032,618,578,
317,883,698,872,243,601,864,081,635,635,265,880,209,216,171,586,012,519,462,
286,720,527,539,711,377,832,297,487,411,739,746,177,108,202,943,962,672,798,
755,579,268,293,323,498,883,483,136,616,591,029,603,525,310,083,712,323,940,
425,703,830,839,475,752,701,882,451,698,442,693,199,792,757,982,663,067,570,
960,159,309,480,356,738,598,002,483,318,765,636,372,536,733,623,663,798,690,
544,680,737,323,450,751,909,785,530,695,239,872,122,972,489,172,235,097,383,
109,884,224,828,310,383,845,583,332,956,384,245,729,445,626,304,400,342,958,
681,870,575,524,584,091,884,934,052,784,294,948,034,770,397,851,899,842,502,
387,336,681,951,437,908,929,454,572,751,446,629,587,109,679,768,903,744,566,
354,413,916,499,924,245,013,089,337,477,307,823,729,984,769,973,029,418,961,
130,308,909,228,594,449,988,716,737,092,432,683,194,384,022,268,415,709,485,
117,920,271,919,178,644,509,080,483,959,417,380,230,970,091,615,869,362,397,
892,854,137,579,073,604,151,656,854,132,552,381,255,304,394,803,652,166,995,
606,977,785,464,005,074,425,240,919,181,553,777,091,605,056,549,815,359,851,
647,435,705,204,617,762,843,557,963,563,507,834,031,738,928,640,047,511,033,
484,286,520,155,967,309,950,051,068,510,513,565,356,169,223,766,339,962,486,
562,838,456,741,853,165,718,164,376,407,619,447,285,483,341,070,044,703,063,
175,837,023,935,678,893,170,986,652,106,418,345,163,446,242,214,481,552,417,
857,074,709,464,817,091,533,348,027,460,625,263,447,502,886,418,711,864,909,
489,189,547,199,072,662,724,410,415,733,530,215,414,643,442,144,667,850,550,
926,363,527,773,966,301,526,043,730,200,750,439,653,607,942,111,408,874,197,
965,457,660,901,652,581,943,217,682,963,053,278,205,625,983,110,923,530,432,
360,926,392,597,384,059,396,873,215,377,552,837,738,771,328,092,672,729,335,
225,756,940,380,717,184,909,132,382,037,100,908,542,541,369,585,491,364,095,
795,146,674,232,888,309,073,975,225,191,614,836,042,744,535,425,973,948,949,
900,403,601,674,094,278,635,208,801,418,108,699,296,619,608,722,651,128,391,
334,831,355,894,262,716,488,639,363,353,157,462,119,010,958,552,202,459,249,
106,187,697,297,157,368,059,660,056,524,464,383,739,769,601,230,085,805,455,
884,857,738,436,570,983,931,099,799,237,905,849,002,397,622,344,008,974,253,
413,039,752,642,499,707,808,103,456,568,237,308,198,991,294,874,949,111,373,
342,793,652,225,024,203,627,711,014,933,561,274,073,669,328,404,862,175,845,
282,998,197,249,257,280,952,861,077,307,061,747,816,862,906,834,334,661,051,
693,007,488,282,871,175,666,307,651,385,833,295,105,403,819,718,522,386,542,
198,819,992,541,846,831,356,818,132,650,601,299,559,800,577,391,984,277,316,
095,562,362,195,923,408,822,659,190,897,898,956,835,422,014,846,937,960,126,
707,210,519,997,044,770,747,267,396,011,139,526,860,760,591,551,535,463,389,
715,946,943,717,388,767,284,297,805,519,092,441,124,775,845,119,179,027,244,
653,022,385,567,154,677,691,154,033,011,170,607,548,144,195,633,723,999,740,
513,056,158,762,352,124,613,998,660,634,141,729,714,966,153,218,948,903,555,
637,056,056,896,759,959,263,916,955,993,541,361,247,528,024,576,377,309,809,
007,952,860,316,782,326,098,757,846,315,531,367,526,826,677,152,153,634,209,
363,164,253,449,602,161,881,770,407,004,321,554,928,369,759,578,136,752,114,
264,786,638,670,382,665,443,339,680,148,630,499,375,360,696,325,907,956,725,
201,119,352,218,111,549,270,140,777,383,596,925,614,891,040,207,428,109,715,
728,540,706,220,566,285,241,785,847,120,373,782,614,891,999,306,796,725,330,
599,090,505,988,449,284,270,529,331,360,688,683,826,970,242,564,865,557,438,
211,578,797,024,829,108,996,028,503,919,707,765,633,074,034,526,360,655,176,
982,321,048,714,599,414,999,162,535,982,530,738,827,507,982,484,158,823,272,
448,005,329,925,449,753,844,048,268,699,281,225,028,268,591,780,140,738,417,
339,219,295,410,493,059,233,960,759,419,161,301,304,380,105,485,274,909,929,
136,978,808,467,952,523,654,953,428,919,817,469,155,181,522,778,370,344,018,
199,342,263,538,279,989,496,721,436,665,283,314,558,274,815,521,764,524,251,
082,983,356,240,719,201,634,692,253,873,816,337,895,763,111,687,568,444,458,
500,967,163,210,984,805,978,173,413,639,172,156,269,254,196,456,308,601,985,
230,745,561,532,943,229,619,471,239,352,482,357,962,438,657,943,647,870,300,
233,763,151,436,445,112,870,899,330,715,870,378,702,986,023,115,788,380,381,
366,271,965,059,387,460,388,036,006,368,343,051,713,241,648,433,858,643,897,
975,266,167,617,060,719,496,083,971,637,579,706,822,549,910,042,781,217,961,
211,537,790,563,685,206,678,193,121,264,227,467,353,132,006,020,894,805,247,
716,206,550,848,916,943,576,394,086,398,761,795,114,154,184,049,128,026,525,
111,112,828,959,868,251,065,218,150,024,396,291,641,632,548,997,758,046,191,
257,692,047,356,352,991,778,844,602,064,503,816,062,557,724,171,782,360,649,
000,162,455,663,019,689,967,735,914,758,219,793,406,773,371,332,226,196,162,
730,486,068,506,997,717,993,857,518,464,692,978,658,205,051,781,610,748,751,
877,393,057,699,532,031,714,513,476,528,775,259,469,860,637,404,156,675,768,
114,867,262,336,003,745,938,135,335,551,190,634,323,880,360,016,184,016,784,
390,629,824,149,191,649,920,091,416,462,284,967,293,241,933,911,040,200,004,
378,245,303,286,905,523,875,304,489,560,678,480,823,580,656,655,606,836,543,
976,600,877,120,394,959,016,624,834,070,503,414,904,991,199,866,479,676,220,
307,969,821,375,026,339,666,804,940,119,634,456,521,344,357,977,532,463,917,
506,133,576,152,136,010,911,886,123,965,599,829,487,590,171,779,322,370,852,
233,313,168,362,725,042,933,251,059,487,196,919,875,573,109,012,639,628,417,
489,132,833,518,548,752,602,103,100,555,880,661,409,115,449,816,310,861,540,
183,735,815,645,847,837,405,424,499,415,320,434,097,739,208,431,189,426,799,
479,144,375,202,823,780,953,256,754,948,152,152,259,822,918,011,424,346,353,
164,205,059,641,899,543,427,501,928,145,090,151,116,796,113,059,921,331,885,
774,076,902,889,819,145,907,275,790,002,898,649,836,814,581,049,728,527,398,
370,641,977,678,674,700,538,894,949,549,861,111,913,732,299,098,206,521,448,
624,944,107,570,836,535,479,223,610,978,337,743,329,831,080,875,357,562,465,
834,427,622,531,087,738,498,125,693,090,577,825,129,271,229,750,446,806,398,
686,030,441,868,656,634,696,683,295,673,801,510,462,659,926,777,864,793,908,
712,520,876,208,596,312,762,804,853,454,790,252,522,403,934,338,782,020,289,
176,119,569,233,347,470,894,903,439,579,395,377,248,811,331,816,356,668,217,
978,962,926,100,136,284,398,031,712,913,605,627,047,646,118,054,728,492,294,
746,497,587,985,910,280,256,049,956,802,478,871,592,081,942,389,588,944,627,
088,136,716,867,291,682,825,477,796,624,620,427,477,322,663,407,996,507,296,
366,506,234,067,343,961,924,556,235,539,728,521,848,176,312,633,597,986,771,
535,525,120,740,932,187,595,746,770,760,562,192,239,421,711,488,236,804,600,
520,206,184,680,862,469,247,346,901,187,643,049,672,424,606,127,539,066,020,
873,309,307,690,418,678,840,774,381,743,567,464,578,412,130,239,190,061,610,
796,197,976,440,271,172,043,335,849,702,169,291,752,949,442,994,308,091,644,
424,587,783,450,574,616,167,377,451,266,132,117,668,935,805,954,644,170,121,
722,894,717,924,496,575,137,673,383,730,330,869,063,025,625,093,737,421,810,
689,282,803,529,064,986,593,177,147,719,525,696,238,443,300,995,743,694,085,
501,195,960,983,169,490,935,210,107,157,596,454,949,639,213,067,435,113,589,
560,776,259,774,727,241,487,740,816,490,441,321,794,794,558,711,356,054,396,
259,136,577,001,470,427,823,532,293,086,393,993,817,392,712,074,040,919,328,
853,482,658,440,885,880,943,842,329,435,407,144,211,576,816,093,141,821,608,
866,357,840,290,594,485,358,500,412,651,571,253,466,298,844,052,856,920,908,
810,234,627,166,125,330,198,537,858,754,114,623,821,774,682,904,182,515,783,
139,358,909,810,393,376,209,276,246,849,806,894,251,984,537,954,355,658,876,
283,210,738,139,325,160,305,753,776,918,995,416,056,586,488,578,965,105,665,
264,928,459,461,413,834,937,372,397,711,840,663,267,380,262,929,424,753,503,
872,509,208,434,090,998,630,917,902,308,809,727,183,409,212,943,281,081,407,
823,191,613,721,714,494,669,903,707,361,974,150,275,911,929,567,819,011,373,
639,366,172,613,792,402,655,201,420,388,337,816,403,189,300,047,260,929,554,
680,842,644,778,144,796,037,792,504,173,472,149,442,976,724,054,808,496,396,
220,137,575,749,784,717,881,823,126,375,310,527,674,819,899,541,669,955,415,
017,757,922,667,868,387,269,231,588,169,024,949,513,559,026,485,276,977,585,
430,927,374,275,625,364,549,645,166,712,374,743,881,239,292,707,941,729,827,
323,875,229,749,438,971,035,424,610,142,364,645,661,975,473,088,893,364,016,
692,211,989,902,606,170,120,743,057,269,222,481,050,874,522,176,597,527,820,
834,517,434,165,991,730,346,669,907,459,128,711,887,152,974,253,367,401,644,
190,595,801,229,940,590,829,296,078,126,890,943,536,730,201,402,302,337,674,
470,633,645,740,829,339,768,109,407,800,760,703,322,543,508,789,340,001,852,
553,103,416,308,299,201,957,567,600,060,960,356,332,668,419,720,699,999,332,
832,966,241,839,419,538,496,168,032,163,277,026,369,075,850,812,164,555,162,
688,082,264,502,198,032,869,105,446,143,759,326,092,430,749,285,051,270,638,
017,732,023,235,768,651,993,881,723,585,714,536,635,963,290,762,255,889,567,
139,742,772,410,241,404,405,689,952,750,763,681,932,661,591,278,963,273,149,
534,928,194,663,169,802,843,823,725,937,888,244,199,537,586,274,810,736,888,
771,558,936,508,410,494,651,793,083,873,394,281,170,238,119,473,755,322,761,
335,595,878,186,471,555,295,057,275,245,872,085,003,083,003,166,938,226,987,
115,984,907,544,032,389,208,598,677,403,555,016,097,289,487,703,687,010,291,
167,110,662,712,992,729,636,514,443,278,604,053,974,430,607,815,853,287,834,
576,428,723,249,402,447,055,090,709,985,211,825,910,193,926,834,019,530,559,
619,726,945,250,690,036,967,356,560,332,298,961,098,101,139,407,889,860,427,
230,297,020,054,288,622,103,815,299,198,052,077,031,293,289,324,842,429,308,
960,975,380,298,956,552,251,599,256,311,389,197,044,058,142,420,474,211,440,
261,480,204,420,534,320,189,307,486,607,369,831,991,169,521,693,593,460,652,
128,584,430,759,341,610,264,590,059,668,886,787,306,932,039,303,456,374,437,
720,275,516,190,305,492,783,270,231,547,444,684,459,001,615,689,764,715,401,
795,999,419,942,346,283,611,109,641,703,634,303,241,397,224,428,726,212,102,
245,582,039,744,421,145,048,439,403,244,972,214,279,330,194,459,327,813,127,
107,105,825,207,460,684,519,714,223,969,807,799,856,416,623,473,191,154,966,
159,226,196,749,668,936,445,422,308,432,617,644,401,256,188,634,429,643,981,
471,561,484,285,660,761,383,500,708,585,278,958,693,957,416,179,452,542,279,
172,127,696,171,671,645,534,644,810,495,484,629,919,245,293,178,974,601,465,
979,371,840,267,089,090,521,541,935,893,578,378,496,295,576,869,805,881,589,
133,315,081,469,634,220,223,362,859,875,843,492,750,876,695,390,682,935,234,
431,551,001,618,226,313,008,469,321,209,317,783,480,066,829,773,290,452,138,
396,929,497,529,011,147,430,642,745,262,098,488,418,149,346,219,356,162,022,
450,516,968,426,956,015,116,682,869,562,640,998,229,295,019,388,622,099,256,
976,531,060,035,332,121,103,284,569,457,069,774,333,226,806,975,830,174,792,
368,381,923,648,446,131,788,777,315,863,578,230,252,806,400,617,505,011,975,
650,337,607,752,970,232,835,386,731,911,584,251,234,696,362,213,090,831,745,
354,411,281,419,497,446,408,897,482,092,271,109,834,856,473,425,931,471,977,
260,116,743,604,861,170,537,163,310,731,105,865,608,240,734,437,465,449,971,
729,057,691,765,966,102,108,664,600,113,368,036,297,524,026,828,184,175,069,
671,107,327,252,345,034,018,260,826,114,385,414,500,856,102,756,874,974,390,
085,886,274,662,369,408,005,500,155,334,960,709,779,113,436,933,084,112,496,
799,370,863,133,748,691,573,590,197,066,680,149,837,312,165,809,500,903,558,
283,489,638,242,792,037,363,449,823,446,544,742,821,873,053,002,424,492,503,
698,966,959,929,236,233,952,419,373,171,367,010,504,927,568,939,140,259,171,
737,263,814,625,411,804,511,600,893,660,156,477,648,493,140,095,837,989,949,
120,507,337,982,712,595,556,013,756,908,377,896,017,368,992,201,842,805,147,
813,320,510,198,154,241,981,993,133,197,303,048,771,966,224,441,589,686,670,
179,112,075,279,359,302,217,084,197,879,455,382,254,788,892,921,111,579,719,
527,016,843,365,545,705,065,198,127,092,346,252,822,223,873,275,517,823,398,
106,136,648,096,105,082,804,293,099,947,095,638,908,660,416,777,768,272,486,
771,752,681,245,837,385,537,843,832,575,863,079,478,370,048,786,469,914,455,
689,843,397,043,404,105,077,555,937,870,961,375,798,659,784,294,395,712,777,
104,870,554,278,528,837,417,978,644,627,667,743,349,488,393,140,447,141,063,
664,103,365,429,976,980,790,897,022,187,122,185,520,542,270,299,837,527,217,
268,374,257,333,876,430,750,856,123,525,022,773,929,925,962,075,045,568,618,
222,230,724,831,638,766,110,630,931,635,677,910,978,768,806,912,712,750,979,
053,227,926,719,294,199,643,201,089,426,886,414,764,108,065,237,128,043,762,
217,755,200,886,040,505,158,061,539,629,100,250,224,734,275,669,198,463,616,
714,999,046,233,796,817,277,220,459,241,329,444,023,249,356,895,571,332,227,
139,268,834,369,475,215,103,648,284,671,374,224,781,894,058,704,096,205,989,
148,607,673,044,333,340,002,617,052,498,583,287,018,125,556,709,584,035,910,
446,567,574,004,948,477,390,850,092,103,828,556,765,087,088,060,699,004,881,
878,669,827,766,125,346,019,095,974,056,422,955,612,314,433,554,192,771,544,
444,878,451,336,661,898,471,951,044,419,459,884,236,483,914,316,605,768,773,
495,435,754,702,044,730,370,906,415,367,399,213,792,688,001,666,948,333,709,
587,748,661,052,859,196,598,803,855,576,770,938,580,719,944,554,697,701,222,
452,487,996,582,178,072,007,022,385,580,074,069,846,172,545,565,592,542,780,
969,200,022,180,347,820,592,685,113,255,676,277,091,648,484,746,055,594,942,
401,737,782,684,272,361,988,749,789,859,205,953,480,040,544,779,226,061,218,
352,836,887,506,521,402,871,194,593,445,096,442,601,537,656,419,132,479,055,
479,218,872,177,921,186,244,733,634,018,784,517,996,950,429,559,980,424,207,
069,613,204,419,541,061,161,112,133,489,899,701,736,221,732,301,084,061,812,
412,580,403,616,023,277,220,849,773,508,719,858,417,195,968,794,927,035,372,
081,768,282,763,821,698,865,732,575,117,866,120,488,182,823,533,837,184,699,
209,949,778,094,537,874,656,275,203,928,678,286,229,139,115,796,545,863,709,
296,258,241,080,188,861,883,089,506,086,127,919,547,778,793,870,119,965,535,
948,283,475,081,894,968,866,997,435,808,746,599,184,488,550,317,267,783,396,
394,933,990,502,712,229,544,229,588,608,902,688,409,929,447,966,712,094,353,
407,319,071,840,866,890,215,012,778,118,358,327,871,169,884,237,938,694,732,
960,909,582,695,228,825,609,118,377,613,852,435,292,017,099,084,259,615,375,
297,294,335,725,079,988,258,908,634,208,288,754,321,981,952,159,847,257,226,
365,730,726,444,383,527,241,754,304,941,670,453,431,688,344,613,568,320,496,
896,273,731,923,843,708,644,494,609,220,594,067,257,518,581,977,218,931,164,
464,969,374,376,510,924,160,235,552,657,048,957,759,871,214,577,221,329,003,
762,852,559,500,363,891,918,080,486,475,784,704,178,517,464,859,130,409,844,
053,945,226,019,255,411,837,903,301,390,079,352,272,956,971,996,786,276,699,
021,292,344,020,494,655,544,896,340,917,341,522,687,899,159,318,809,238,968,
356,328,321,331,090,797,972,639,152,530,186,004,358,223,868,972,336,042,203,
947,483,891,739,880,015,366,788,879,219,462,758,052,299,547,473,543,842,355,
171,706,363,671,790,605,002,630,966,366,274,133,560,178,413,111,573,205,342,
352,994,689,977,253,345,459,291,139,525,846,142,368,526,731,905,172,549,218,
439,139,179,789,093,629,165,518,717,121,792,240,971,365,685,577,052,322,110,
156,636,546,106,690,854,707,848,515,949,104,089,551,676,741,064,056,509,522,
212,665,240,624,372,487,584,524,675,049,889,962,243,377,093,307,403,258,250,
225,584,351,307,475,496,387,397,641,177,673,131,598,756,559,204,144,389,654,
219,547,681,435,332,343,499,141,727,570,289,509,131,618,331,743,637,438,197,
864,440,027,287,358,978,957,139,588,992,347,777,684,659,759,837,476,990,982,
708,976,528,335,838,567,271,685,145,873,486,007,076,799,391,888,980,274,016,
561,508,861,671,995,790,219,049,521,133,292,339,909,132,084,009,849,312,786,
340,590,273,419,949,055,775,365,041,858,886,068,928,550,808,979,755,462,306,
035,715,333,806,308,424,382,585,510,618,523,826,882,597,390,626,479,269,056,
769,721,598,831,858,699,632,952,719,011,638,644,652,762,646,028,699,099,047,
175,666,037,194,076,221,567,277,413,907,262,235,291,238,416,358,657,497,233,
247,743,339,350,480,632,959,649,548,079,468,203,727,012,170,737,227,505,962,
567,989,426,845,383,537,712,159,810,217,512,916,711,728,034,710,746,346,498,
935,464,772,255,532,048,450,544,751,478,291,414,720,172,054,908,503,771,765,
912,513,608,486,450,755,853,280,192,643,683,034,725,477,924,088,916,005,335,
816,145,989,460,684,470,840,643,866,153,333,507,876,388,387,920,957,763,824,
304,168,755,737,095,051,555,639,205,061,555,611,100,873,823,282,240,208,794,
522,227,002,359,333,925,921,639,363,082,531,764,257,223,208,780,031,304,503,
107,238,081,905,412,728,204,256,623,579,457,726,078,579,427,610,525,597,651,
719,950,460,263,577,444,677,013,079,328,712,399,754,674,378,358,458,343,950,
263,191,474,808,762,463,423,741,841,891,162,792,866,060,354,600,118,156,442,
933,427,276,224,630,038,699,274,817,062,175,659,929,654,745,668,988,364,976,
236,198,124,838,674,281,271,603,020,043,664,488,638,559,106,815,150,434,967,
768,313,362,378,363,606,450,912,490,410,318,968,515,768,641,514,476,563,503,
398,116,512,658,491,795,065,846,181,395,164,407,637,511,315,795,248,807,777,
795,784,826,521,680,088,081,148,242,628,165,029,617,708,434,134,663,804,596,
317,324,334,570,095,459,468,876,255,107,508,895,490,800,777,211,327,115,249,
365,103,411,917,257,390,524,988,519,022,197,870,245,837,478,911,890,850,503,
759,917,879,855,819,490,357,614,557,932,121,170,357,006,114,834,654,099,092,
526,785,232,264,920,609,775,199,541,878,152,899,794,139,932,972,074,124,605,
184,029,847,998,897,721,923,185,938,885,909,037,436,211,153,855,976,708,341,
264,285,478,714,482,602,042,412,171,888,070,911,746,499,768,919,351,688,411,
834,139,760,318,465,094,118,207,462,743,297,253,956,904,925,477,136,686,231,
281,643,254,452,989,637,951,247,922,058,252,517,548,491,641,566,412,610,801,
619,838,869,307,521,981,057,250,894,159,240,362,804,402,676,696,434,972,427,
479,225,429,641,909,337,855,373,825,062,110,539,646,913,670,110,500,503,485,
878,437,628,679,710,963,539,482,527,908,419,847,988,033,308,026,106,432,185,
582,779,048,182,328,295,343,445,746,715,958,787,792,788,703,633,843,453,362,
282,316,563,831,931,152,238,427,747,163,269,596,522,706,492,995,133,023,248,
606,937,630,401,110,823,793,823,233,866,575,820,570,734,614,624,206,092,544,
508,053,308,174,100,202,786,555,609,778,572,471,603,306,672,721,915,313,216,
450,868,934,577,974,685,811,509,014,558,949,501,735,895,879,433,176,530,032,
982,764,156,146,684,043,428,453,034,401,836,903,936,064,990,179,603,263,501,
435,958,163,298,465,383,951,036,145,759,921,367,937,081,007,960,591,353,243,
160,554,568,753,897,542,015,761,556,671,761,620,077,320,267,645,036,167,329,
565,160,736,268,190,397,242,973,908,831,735,224,158,112,833,903,404,670,759,
967,372,700,343,681,083,047,362,721,328,446,936,510,671,016,981,017,894,507,
351,262,031,896,104,537,175,729,926,866,726,041,558,040,764,983,319,137,909,
235,009,063,851,962,368,117,901,077,786,621,306,293,120,454,869,426,706,474,
270,949,480,145,024,325,627,205,342,624,753,399,686,680,153,473,188,872,532,
628,676,676,497,840,384,636,038,740,626,044,809,219,390,139,274,586,205,607,
409,609,482,941,651,581,423,834,334,187,338,553,242,497,871,452,239,622,981,
215,715,496,739,886,550,129,594,545,669,562,048,961,078,390,583,570,642,106,
365,826,067,509,963,403,004,532,152,177,358,799,273,165,651,012,714,380,255,
152,420,572,306,020,310,354,778,883,856,280,454,225,330,413,420,463,106,774,
442,330,253,653,531,423,320,694,159,018,498,626,735,364,925,370,377,764,689,
172,985,145,664,294,611,841,787,487,488,601,686,413,628,904,775,344,128,135,
619,453,841,201,590,647,694,269,337,196,477,535,714,530,421,220,181,766,350,
055,409,380,524,048,985,953,094,872,307,991,067,249,127,603,535,559,384,092,
547,274,507,773,181,627,816,039,960,207,571,792,947,048,881,157,328,325,524,
213,665,586,794,357,545,001,460,161,197,488,872,157,172,589,157,243,603,707,
572,249,931,750,245,101,587,112,304,376,623,077,984,749,653,087,640,378,016,
067,867,073,006,608,912,472,086,003,744,215,588,947,443,576,428,751,401,446,
443,784,220,600,314,610,919,548,626,270,584,583,792,742,469,961,381,895,199,
850,752,142,056,642,040,936,459,995,003,128,226,464,839,541,245,722,341,050,
142,182,386,601,387,962,750,600,984,820,075,104,354,509,613,044,628,962,687,
923,631,129,440,707,415,691,307,389,225,735,845,204,533,643,533,065,352,731,
245,185,474,164,053,928,442,683,099,542,372,806,463,574,601,314,655,126,538,
401,660,845,726,299,740,206,372,381,197,263,227,326,373,309,082,539,951,933,
338,387,957,446,808,026,955,553,637,578,036,121,288,610,022,681,236,380,804,
355,405,922,341,503,544,871,949,625,770,264,049,775,085,929,854,760,253,779,
757,099,411,586,575,947,509,864,753,651,561,713,853,022,723,918,768,487,476,
777,570,079,117,257,908,016,951,734,616,659,070,322,194,915,748,017,615,077,
800,070,280,214,802,691,931,650,340,411,626,664,395,545,110,674,162,814,787,
839,791,436,234,136,020,126,628,908,125,122,085,027,091,055,709,777,286,265,
602,211,760,935,957,146,611,626,985,124,499,767,789,360,098,694,958,897,022,
877,229,638,600,606,016,263,174,734,717,667,063,464,164,539,218,084,541,926,
247,091,499,909,649,361,589,970,269,291,357,764,892,735,621,225,983,997,287,
310,314,564,165,111,469,158,939,421,218,035,455,490,521,935,383,738,780,891,
615,493,756,316,798,011,485,487,037,680,233,356,472,937,851,840,741,573,174,
244,649,867,104,961,954,145,001,304,402,985,836,358,254,887,557,216,570,982,
030,071,058,894,122,933,948,303,531,829,084,373,478,432,589,788,466,208,341,
504,580,484,000,004,530,549,377,059,511,384,900,828,369,451,325,821,107,820,
383,692,378,673,126,793,161,779,391,812,954,214,335,576,293,408,199,744,987,
862,349,631,676,118,235,997,564,504,083,734,626,572,420,661,435,755,130,914,
882,149,630,907,392,151,704,410,117,811,954,732,512,764,122,427,119,686,525,
530,986,803,280,352,717,403,563,252,587,787,726,628,662,689,028,955,227,420,
482,715,557,146,292,397,981,672,597,619,135,607,619,401,413,680,879,823,928,
855,999,938,474,660,212,196,892,418,644,822,248,615,147,957,878,135,701,933,
509,774,691,029,781,676,603,124,403,620,429,846,937,801,634,966,342,202,219,
286,176,074,758,812,962,995,200,795,268,457,340,976,515,484,740,979,345,134,
208,894,082,186,609,715,351,815,853,684,505,751,666,759,688,392,017,172,514,
757,294,000,447,584,155,634,911,996,214,848,573,014,993,409,157,006,944,998,
349,928,322,449,160,614,199,783,897,822,643,289,545,783,517,804,630,278,135,
263,071,781,208,751,783,930,867,163,568,870,071,440,661,926,894,684,325,688,
244,072,825,796,028,798,256,924,259,421,971,753,542,727,286,016,727,677,504,
041,156,755,535,192,464,212,660,589,370,226,021,787,849,320,980,922,561,932,
927,612,358,539,412,884,264,853,226,176,748,917,006,376,757,896,445,688,441,
930,862,659,743,977,498,973,857,054,115,343,958,838,022,851,428,686,834,383,
390,189,998,757,005,875,297,613,493,843,795,270,377,360,109,066,518,033,689,
852,703,859,136,738,106,333,339,534,466,055,916,037,065,311,479,731,401,883,
693,523,549,592,823,025,172,861,311,414,090,404,268,266,099,570,201,042,612,
791,022,286,807,789,845,920,414,597,894,996,376,369,271,175,235,093,067,536,
391,084,128,739,466,989,097,301,082,535,033,271,396,135,781,410,335,558,192,
716,129,332,145,498,891,754,380,762,689,106,793,112,984,948,344,908,580,661,
037,761,031,358,944,705,352,531,088,198,586,397,552,988,744,585,140,586,235,
086,361,345,080,479,188,724,285,648,656,810,614,510,440,669,749,189,155,487,
581,176,233,820,282,963,835,740,396,347,142,521,357,712,501,345,317,297,037,
893,890,317,759,182,372,075,990,054,339,957,031,762,080,916,746,034,936,359,
982,929,075,845,610,648,616,804,869,899,226,020,065,360,479,397,087,029,671,
015,174,283,063,617,313,134,280,774,003,151,322,962,342,730,347,632,798,809,
593,917,227,564,950,058,113,687,668,529,829,108,819,581,492,397,801,306,808,
839,745,776,468,160,348,584,286,080,770,371,124,017,971,428,223,745,936,200,
851,330,383,716,882,052,973,830,125,039,929,973,434,944,853,331,610,509,281,
864,101,145,190,889,103,287,359,535,543,794,045,591,928,581,425,009,813,849,
472,389,370,623,529,604,502,581,083,887,058,117,908,084,815,616,715,411,903,
384,777,449,970,188,520,306,505,328,796,813,875,917,365,137,446,392,968,161,
821,714,052,329,478,809,844,693,375,855,183,473,157,687,026,031,209,763,816,
862,192,924,843,002,262,209,048,106,375,529,512,272,484,085,200,909,153,178,
644,954,419,649,372,752,491,017,350,078,658,713,684,347,286,114,622,201,981,
673,714,654,870,200,775,197,820,955,726,618,203,803,992,657,226,281,185,652,
382,433,387,389,520,083,832,822,961,473,779,266,822,901,905,599,569,651,284,
431,829,795,629,825,013,526,853,845,630,312,442,498,683,357,560,485,223,238,
646,568,350,134,294,435,045,209,297,648,450,885,380,171,283,957,346,528,045,
370,640,738,302,676,332,732,570,837,139,483,423,905,904,869,703,515,886,375,
310,810,824,826,569,857,156,407,774,827,125,326,077,100,322,463,825,958,308,
973,016,715,523,188,753,650,973,067,250,269,633,430,118,023,247,361,677,619,
145,101,749,760,664,639,018,395,023,649,501,986,636,080,999,421,567,435,748,
059,809,339,878,514,742,954,079,293,747,371,823,822,116,015,206,975,291,118,
936,462,130,735,646,447,763,052,943,041,762,413,849,477,011,315,559,148,916,
370,017,592,667,923,806,273,426,075,955,854,213,525,617,995,192,640,245,767,
482,581,238,604,223,598,412,651,459,945,984,029,118,762,954,264,960,568,108,
290,730,512,245,313,768,140,233,506,401,314,206,732,942,228,171,946,975,063,
100,936,053,178,298,802,148,066,914,177,848,890,242,144,997,775,425,100,782,
689,317,376,369,509,542,354,097,326,637,402,447,177,190,378,573,690,432,936,
584,432,308,749,134,736,224,648,352,065,188,287,956,746,651,389,847,725,124,
272,707,674,140,144,636,615,924,957,015,442,536,574,577,030,170,974,024,998,
046,966,512,624,260,735,743,680,411,395,760,993,926,650,326,362,579,539,741,
855,424,818,898,454,030,698,136,459,840,511,897,589,543,906,761,130,147,991,
773,262,026,762,068,637,554,210,036,143,474,919,918,408,926,811,574,610,474,
622,170,343,596,925,839,206,460,239,325,079,298,781,967,464,767,117,331,734,
135,937,200,945,110,507,935,033,889,806,374,770,870,237,623,117,527,750,460,
361,287,351,350,347,952,850,104,439,655,009,861,163,195,105,315,026,737,552,
375,702,372,943,928,646,648,517,098,345,234,765,019,441,627,262,716,780,639,
979,284,741,836,928,452,337,536,367,856,355,822,677,409,761,311,785,917,977,
715,147,488,168,013,613,091,358,728,481,530,778,670,609,981,682,187,284,400,
157,787,887,814,879,471,688,824,972,397,959,405,891,764,179,897,933,879,911,
667,242,791,635,423,929,759,565,992,456,352,764,896,047,547,986,562,671,411,
840,695,646,810,386,508,150,175,849,571,426,140,445,775,553,478,671,530,299,
792,639,420,422,120,719,330,168,859,269,246,316,341,114,894,909,418,957,617,
709,542,899,754,366,370,666,660,387,633,513,106,540,933,487,484,946,146,599,
956,010,273,416,386,838,060,940,210,969,184,960,415,495,151,687,668,159,275,
053,107,662,482,917,475,720,042,853,663,938,623,943,512,870,435,940,729,370,
130,044,353,333,709,003,500,646,861,475,390,750,856,076,880,719,437,796,450,
477,027,648,306,040,301,333,534,494,988,450,991,341,683,820,495,306,286,811,
719,322,175,757,288,365,158,702,113,700,353,217,711,133,988,610,802,056,647,
341,807,657,705,960,952,799,133,059,098,989,303,952,235,027,721,051,158,309,
978,239,620,331,448,664,718,936,038,029,166,454,888,405,326,623,340,048,778,
191,606,370,621,965,533,716,126,554,580,805,955,891,764,788,239,279,667,431,
810,743,886,782,498,494,279,838,859,774,653,311,274,042,739,145,441,273,271,
318,625,630,866,352,511,106,258,123,979,770,664,950,114,206,130,913,837,406,
812,221,212,624,888,206,667,905,897,893,670,093,004,319,404,317,759,873,889,
222,021,550,932,371,241,847,578,764,010,474,047,797,412,809,215,897,706,421,
127,615,598,917,906,923,653,107,196,839,380,697,818,447,933,860,469,942,246,
725,795,188,921,902,709,031,282,800,258,187,083,519,643,234,339,342,535,943,
955,923,786,854,842,769,450,425,414,975,164,102,961,869,467,026,541,096,218,
489,044,757,549,194,883,606,930,405,039,453,749,825,293,117,871,348,584,524,
467,908,943,016,246,619,418,698,030,770,411,223,966,710,768,749,921,136,169,
140,769,892,485,909,768,112,801,487,938,350,533,100,040,324,757,290,695,713,
707,234,506,130,855,015,598,393,297,998,641,113,430,188,408,345,245,372,013,
910,461,713,872,689,547,101,827,674,170,829,519,766,073,013,526,551,377,114,
104,976,829,348,120,696,341,555,571,583,288,796,943,673,014,135,839,625,751,
808,578,319,069,439,468,044,512,683,308,158,539,852,978,533,092,668,509,147,
573,361,305,275,370,090,286,208,413,512,573,381,996,663,832,476,052,627,234,
408,054,433,253,038,685,329,208,617,639,001,853,213,988,655,168,739,627,599,
001,455,960,964,338,762,723,286,294,353,010,903,664,309,272,665,932,432,864,
604,941,028,683,096,048,187,671,013,454,183,617,270,060,590,326,420,044,217,
402,188,257,367,315,458,689,413,794,753,675,395,404,491,909,707,306,817,886,
707,771,061,881,516,473,960,687,834,676,514,241,906,403,003,739,916,614,767,
750,907,570,494,521,924,410,671,628,228,502,407,441,907,450,641,222,527,538,
192,529,431,273,385,806,665,206,215,105,167,278,200,628,099,684,080,304,164,
773,880,288,835,638,902,112,566,178,439,143,370,142,182,654,071,465,937,083,
308,275,753,907,149,086,536,311,069,358,352,239,965,894,307,578,499,367,088,
747,895,187,055,109,590,422,746,747,442,448,830,476,689,562,083,587,108,674,
682,477,754,150,577,425,748,439,884,807,640,587,050,310,205,217,120,556,021,
396,592,491,163,774,063,306,959,944,446,241,384,977,780,893,221,004,408,673,
403,041,378,324,216,502,479,783,833,400,485,435,024,009,017,663,319,075,468,
870,798,189,648,369,185,577,510,386,499,848,340,521,688,393,890,164,550,474,
070,174,381,847,429,384,457,274,511,013,046,521,608,973,144,323,547,915,920,
849,935,425,620,403,839,895,216,273,219,583,097,151,754,150,704,288,670,920,
263,497,020,572,979,603,434,785,878,106,343,024,398,032,132,976,663,517,474,
734,230,194,972,033,571,659,039,479,307,486,396,249,382,458,874,396,468,740,
254,108,421,010,712,674,561,027,747,810,988,073,444,787,163,490,885,963,168,
237,856,587,151,372,580,830,927,524,954,412,050,854,629,169,659,706,890,033,
010,984,232,904,146,848,396,300,506,604,937,075,885,449,956,059,649,493,694,
699,974,288,232,512,974,244,984,494,228,375,542,785,266,527,217,818,912,556,
480,795,047,834,579,002,214,200,953,748,735,526,465,634,142,505,710,075,819,
028,756,431,647,392,739,439,868,957,737,946,101,748,599,091,332,673,518,353,
757,829,345,979,074,423,976,687,946,394,422,901,806,508,053,133,711,612,938,
261,125,045,527,215,059,102,146,049,865,940,675,818,650,716,851,971,116,967,
214,390,342,921,519,177,089,101,898,395,625,968,800,402,024,014,743,531,598,
270,378,706,998,292,809,462,808,928,962,495,926,255,289,917,761,819,477,634,
142,265,595,240,473,125,483,598,338,731,301,066,483,972,845,031,106,400,865,
587,877,229,491,259,473,207,937,626,293,454,350,919,084,029,601,921,542,328,
577,706,544,374,668,740,078,439,339,511,164,839,765,805,227,233,121,991,063,
302,051,871,100,054,534,745,865,795,924,295,782,057,698,519,602,188,472,867,
576,481,688,376,386,105,045,351,752,819,412,009,971,596,023,396,787,131,757,
418,624,292,541,540,142,908,104,094,212,088,379,173,930,105,931,656,555,445,
314,311,578,634,803,414,862,776,241,588,273,470,847,015,403,521,547,171,975,
795,031,480,347,316,519,681,429,744,691,099,728,584,441,311,254,396,661,085,
007,177,286,229,983,184,886,113,107,291,723,840,624,633,409,809,735,228,566,
294,469,354,086,200,979,020,643,022,295,824,085,828,895,813,954,793,114,190,
330,986,980,805,767,293,155,646,513,375,635,317,925,423,269,221,344,527,870,
330,382,924,320,738,935,831,125,302,971,802,444,819,440,503,929,160,304,078,
460,583,119,419,749,128,957,534,312,626,847,282,950,616,101,362,496,358,761,
571,348,032,288,772,013,746,239,686,105,840,132,068,584,254,356,889,402,504,
985,325,898,908,328,226,703,981,651,599,277,794,583,135,118,840,962,661,003,
809,237,794,511,100,225,026,752,928,127,718,736,124,781,532,816,194,727,579,
206,890,678,647,823,619,158,671,585,095,963,277,623,363,309,120,050,625,121,
012,813,378,160,120,578,187,665,426,802,280,024,921,870,053,509,404,458,033,
812,511,075,399,176,980,555,858,755,471,423,565,313,844,835,630,103,250,443,
649,487,760,678,868,954,098,825,517,894,371,860,806,579,399,143,923,624,062,
958,644,029,131,433,297,087,594,072,337,018,188,920,750,512,814,549,051,732,
204,295,505,435,624,348,595,728,544,378,801,115,685,717,750,340,110,753,931,
245,424,387,151,275,866,285,967,782,115,931,220,328,602,989,910,371,973,804,
510,128,021,823,646,699,137,021,885,589,952,938,064,795,443,167,531,224,957,
489,602,969,988,286,427,886,276,612,205,065,417,219,104,501,236,003,032,932,
776,703,058,993,220,907,127,962,264,655,618,992,582,033,650,656,014,833,767,
463,717,341,889,717,618,611,735,562,109,609,332,657,436,921,105,352,303,009,
272,732,014,526,031,566,468,975,270,974,237,176,308,790,680,009,721,238,427,
270,539,730,440,788,154,826,575,631,406,003,870,956,795,589,601,938,503,120,
887,086,117,109,705,749,169,377,968,358,251,615,707,054,913,448,231,622,006,
696,744,776,094,296,747,064,939,565,674,402,041,089,559,857,247,453,090,439,
181,434,612,663,992,380,243,047,017,200,922,495,974,772,825,399,942,012,156,
992,726,655,336,924,513,198,537,449,150,684,819,433,609,987,077,524,528,895,
428,297,375,630,448,671,957,701,768,913,478,195,297,289,953,450,391,744,470,
512,641,928,803,629,442,254,774,619,487,611,281,912,674,346,453,185,639,039,
693,079,404,920,987,258,863,563,241,364,620,669,451,210,179,547,125,837,044,
431,479,958,402,509,998,367,269,727,526,879,139,458,777,454,847,971,821,061,
971,116,199,843,509,673,531,214,731,308,053,156,869,534,016,870,619,797,883,
664,065,918,615,844,194,639,277,701,412,543,909,617,863,139,631,353,690,187,
414,041,785,918,729,003,684,524,757,310,484,284,473,987,863,319,307,878,582,
271,745,765,184,331,887,619,757,310,176,779,567,448,007,644,798,116,561,227,
880,124,680,685,479,460,300,220,659,488,950,003,304,267,319,809,119,007,891,
301,738,955,414,241,783,716,783,859,185,377,290,378,772,598,880,494,212,146,
406,753,234,653,911,492,687,904,041,883,676,406,496,845,256,886,433,265,737,
058,875,397,284,604,696,769,054,591,225,152,237,960,098,633,520,571,310,719,
852,014,319,957,272,087,283,646,326,610,892,533,781,172,175,440,522,193,543,
932,962,739,291,595,764,018,660,861,223,164,818,514,525,423,976,254,679,511,
608,124,245,491,984,004,472,214,878,108,944,567,054,635,561,887,031,234,591,
967,138,905,777,622,756,210,230,258,452,547,643,870,737,129,631,507,566,472,
119,703,529,099,920,953,391,532,495,105,817,099,805,708,299,548,621,307,569,
824,677,718,038,907,162,070,218,573,563,401,995,442,971,116,620,109,089,824,
143,694,506,745,879,990,198,563,026,653,910,635,288,043,988,291,919,059,980,
242,780,117,320,000,365,702,148,271,413,827,957,768,284,589,698,969,190,513,
755,660,667,330,236,650,189,464,886,767,210,539,511,536,105,985,546,919,752,
119,807,657,349,818,179,001,054,034,824,604,981,804,244,511,287,627,578,020,
508,948,398,538,437,560,132,450,291,697,820,116,068,025,804,999,821,188,801,
736,502,186,486,962,443,422,087,572,057,989,138,742,652,532,896,342,687,770,
085,721,027,632,163,682,904,214,798,811,554,095,837,544,113,368,259,232,411,
202,696,539,963,220,459,101,673,800,559,652,598,418,742,712,000,947,025,294,
257,164,888,129,327,294,841,495,762,344,338,467,208,565,685,393,622,156,638,
157,099,942,557,962,757,903,747,020,494,673,933,040,144,042,252,731,170,329,
383,013,586,767,054,067,737,042,863,893,741,943,826,799,868,294,233,344,681,
184,963,998,051,142,105,941,917,130,741,032,991,697,746,535,120,499,176,540,
256,503,532,620,916,425,872,139,273,935,966,305,863,623,048,591,144,417,563,
198,502,061,838,713,888,541,077,235,302,343,587,786,748,449,105,902,602,255,
916,323,502,167,199,981,232,327,537,378,024,748,879,053,268,005,186,098,410,
796,732,254,731,552,548,262,463,005,998,247,747,007,143,610,828,307,265,343,
449,447,225,282,931,798,750,441,182,240,615,807,754,160,160,905,865,898,330,
747,387,487,539,867,675,489,720,370,236,552,124,969,454,080,452,948,353,330,
865,421,314,271,921,897,153,385,350,038,727,089,165,147,615,129,992,393,403,
432,260,217,340,182,534,864,552,836,406,913,084,511,620,019,486,782,903,797,
889,834,411,815,635,419,607,702,621,444,331,211,838,150,309,945,180,879,126,
175,649,714,584,923,593,140,212,883,703,297,572,772,060,248,906,695,789,657,
371,591,449,244,405,043,724,372,772,603,339,486,919,476,854,336,214,796,513,
878,973,889,490,881,499,824,551,092,230,970,811,177,766,817,968,256,828,733,
137,022,359,152,073,772,749,096,683,428,298,425,393,837,182,600,620,139,459,
620,177,616,255,896,304,168,754,672,483,038,865,919,096,252,967,037,978,671,
349,858,217,882,829,046,098,183,007,464,933,171,705,547,193,969,553,698,555,
967,980,489,830,951,379,974,903,502,500,435,199,019,045,415,646,022,426,153,
170,547,821,003,233,863,384,212,286,978,728,055,862,988,859,994,501,106,367,
291,714,220,244,649,043,081,714,139,700,277,886,742,004,744,417,685,784,872,
536,375,497,788,225,110,019,761,430,523,948,964,877,621,635,124,027,874,770,
063,073,294,117,956,021,361,387,075,025,860,660,666,481,415,819,037,505,957,
021,236,508,804,739,207,941,679,592,528,062,082,430,472,984,943,290,339,373,
740,527,410,959,683,976,056,099,253,721,225,099,848,319,373,775,690,350,772,
139,954,548,715,438,831,693,020,459,279,246,803,431,102,900,568,513,237,886,
075,747,327,885,615,802,425,277,873,891,653,826,611,327,198,576,722,515,126,
779,672,294,558,707,642,179,444,302,908,429,111,512,580,946,934,654,809,650,
280,675,710,538,623,930,577,081,151,665,411,505,347,952,780,784,236,806,179,
816,861,326,896,979,913,584,857,048,057,132,266,028,407,731,720,378,567,126,
468,807,198,816,861,897,391,697,693,801,380,817,525,160,517,903,554,764,657,
606,580,485,193,364,263,870,065,994,232,048,630,034,309,378,041,793,399,963,
853,638,084,765,771,520,638,505,160,291,824,132,420,906,680,108,208,409,934,
634,923,207,784,119,796,343,605,731,095,460,841,301,953,382,025,820,631,116,
903,148,886,340,422,492,632,745,956,752,443,362,492,763,985,991,201,653,296,
971,472,763,432,279,874,821,090,267,855,424,431,403,619,134,002,852,391,891,
368,387,032,114,411,684,574,769,140,540,916,875,953,406,330,233,854,331,513,
213,380,369,245,823,821,253,258,694,087,739,701,443,028,453,939,049,117,318,
208,718,520,760,161,757,181,861,464,650,213,318,506,197,515,488,246,301,744,
431,226,101,627,573,082,512,085,886,868,474,297,453,194,155,790,070,879,608,
567,414,280,365,219,823,312,951,236,954,625,470,980,283,875,471,116,641,932,
074,305,463,218,003,580,810,448,012,391,024,511,916,891,609,447,963,021,472,
101,774,573,113,040,585,749,878,626,645,173,189,136,372,475,603,944,265,843,
048,118,983,498,253,048,794,705,205,258,222,735,526,285,455,094,387,384,442,
782,766,864,069,929,972,043,330,367,745,734,349,276,660,513,743,855,423,185,
207,519,889,019,415,629,729,732,035,773,080,835,804,831,899,261,124,114,132,
677,741,264,410,917,990,714,645,430,143,097,015,494,890,475,106,160,620,591,
112,142,144,246,459,262,568,942,388,342,172,795,988,140,572,580,945,191,651,
420,244,189,333,460,735,046,873,978,309,600,383,606,133,479,677,127,237,514,
956,532,105,346,977,729,248,737,306,041,617,404,010,942,857,803,512,308,033,
624,367,314,888,560,716,572,102,595,415,512,682,454,806,503,350,654,255,836,
045,844,577,964,302,942,087,099,500,608,018,085,221,939,849,603,546,429,987,
621,356,618,881,720,499,290,014,059,237,396,387,533,932,902,807,002,178,710,
434,878,288,046,070,193,324,372,165,988,466,458,100,122,917,382,142,978,700,
176,556,342,515,032,671,889,988,580,910,497,477,341,341,064,458,239,238,534,
605,976,762,351,436,890,611,702,373,314,699,683,581,285,824,649,135,084,207,
816,593,528,588,034,852,642,120,499,801,501,792,051,199,705,831,056,799,143,
541,842,356,290,793,253,408,185,529,123,504,351,917,547,901,990,761,137,656,
049,242,327,608,202,633,894,521,040,299,465,988,064,603,335,530,585,795,808,
330,896,082,649,672,953,737,256,810,347,376,422,368,394,971,592,113,963,345,
170,407,240,436,004,027,749,497,276,098,742,243,742,309,145,314,214,261,192,
089,594,956,756,089,841,273,937,917,192,765,202,615,676,227,936,970,709,997,
934,266,347,162,522,077,597,470,193,939,825,101,149,461,147,667,383,975,814,
925,651,690,087,809,248,807,600,594,132,243,515,909,465,982,635,016,155,047,
549,612,878,052,065,428,309,779,363,607,011,992,197,923,166,886,934,014,288,
289,886,908,539,221,877,421,385,037,439,888,197,225,619,099,146,104,721,830,
565,466,161,122,431,809,259,739,041,442,439,884,662,472,014,191,205,924,836,
149,381,684,834,266,433,945,203,339,034,188,845,579,573,350,140,507,833,684,
399,327,632,302,260,973,766,275,913,914,762,493,929,672,943,199,553,817,027,
615,365,982,645,783,676,372,336,945,860,477,560,170,208,003,375,192,332,548,
982,021,354,633,944,953,526,797,625,361,198,343,268,514,781,684,715,808,878,
100,858,867,521,322,723,089,913,550,629,676,275,434,174,400,165,178,820,256,
308,233,219,866,004,039,240,025,645,190,682,831,818,252,860,620,609,833,654,
745,460,891,179,566,834,151,208,173,988,677,732,732,864,600,980,166,839,232,
767,438,602,378,433,983,190,629,221,292,715,902,207,238,273,877,218,123,174,
373,503,034,020,876,431,132,762,148,086,261,027,035,924,252,904,316,315,088,
149,490,151,628,748,324,917,415,713,136,366,309,586,120,268,647,775,930,597,
402,824,635,961,712,986,998,168,579,978,814,496,467,746,945,273,506,472,795,
228,564,885,180,023,454,722,741,151,038,697,523,527,638,984,211,582,998,775,
868,150,668,780,084,650,000,030,191,798,136,991,137,606,229,100,957,572,076,
350,785,300,872,946,171,960,589,993,453,729,450,820,892,642,642,300,197,396,
626,170,013,092,478,764,145,714,382,607,959,444,091,521,155,849,319,054,718,
043,240,534,492,316,086,578,522,138,174,125,512,700,406,352,477,850,684,634,
605,240,577,168,431,921,135,223,273,386,851,013,662,254,773,593,398,815,431,
550,972,983,948,923,392,343,540,176,540,770,913,014,785,057,519,654,100,754,
579,240,849,584,504,926,440,601,763,140,312,175,570,065,603,968,404,897,807,
684,815,259,595,570,970,127,280,029,633,392,847,801,766,780,277,477,363,952,
177,717,668,473,937,891,925,376,876,527,585,491,322,812,656,829,988,512,574,
265,037,493,831,537,179,076,540,166,937,035,080,857,343,703,933,465,189,609,
379,353,676,250,249,601,243,423,205,709,421,472,595,764,117,262,121,479,034,
860,769,133,390,307,337,833,028,580,581,179,966,168,146,309,819,185,727,741,
125,624,665,808,563,914,675,330,541,280,121,247,936,214,476,115,836,020,902,
785,657,668,444,839,716,656,126,034,626,184,185,583,504,636,625,520,220,510,
754,150,393,562,779,594,606,635,664,586,681,161,422,643,644,733,843,889,805,
605,236,972,756,907,608,895,671,286,610,348,185,419,129,118,781,731,574,152,
230,121,225,268,104,288,517,758,420,307,728,157,029,274,579,018,809,292,861,
703,499,970,200,186,272,294,660,241,855,357,527,817,976,611,899,964,641,634,
873,971,807,129,502,768,962,028,692,951,721,813,873,457,234,883,963,500,088,
324,857,400,277,668,531,570,885,033,660,718,865,069,829,245,604,553,714,634,
687,972,789,749,587,576,634,315,353,923,464,738,513,208,195,066,308,822,260,
495,175,178,566,683,925,126,640,935,494,293,219,632,942,006,826,430,932,092,
956,445,263,184,812,683,979,487,245,556,657,059,139,722,629,020,620,494,386,
319,339,383,885,003,004,876,593,799,151,816,354,955,465,392,919,336,085,524,
121,444,123,296,177,369,605,538,348,605,273,888,033,854,828,357,778,313,603,
512,971,489,620,986,326,329,731,998,577,077,247,709,276,929,162,475,584,104,
485,508,744,321,104,696,024,272,064,504,085,463,683,150,628,488,194,880,937,
475,127,421,871,178,174,073,970,862,659,206,130,611,356,143,632,142,931,745,
854,691,356,139,863,997,990,306,381,052,810,452,547,456,936,565,479,644,935,
152,215,368,371,702,590,269,006,575,101,354,289,662,273,873,093,420,059,355,
601,353,921,215,016,857,019,930,482,140,043,633,724,517,006,844,867,199,414,
433,291,372,443,817,883,093,159,086,661,384,936,768,247,387,425,921,387,014,
756,357,204,495,407,607,651,938,308,131,262,070,587,361,953,205,998,567,200,
026,317,555,411,993,956,223,923,716,873,829,389,575,802,103,303,465,543,260,
164,149,688,206,825,814,072,802,605,679,710,156,390,211,539,778,893,796,229,
571,971,173,989,475,952,750,548,181,568,284,069,449,790,290,120,330,226,513,
740,161,671,288,743,140,005,950,583,603,387,368,151,195,925,014,453,777,404,
983,007,107,890,602,534,292,758,632,355,026,151,755,710,286,712,977,649,039,
581,056,359,739,940,157,942,842,186,886,917,312,741,214,830,663,564,568,175,
710,377,425,360,449,232,363,667,064,644,880,860,304,679,117,710,572,130,800,
771,187,600,235,635,933,032,563,443,113,889,449,519,394,205,009,916,576,676,
941,548,912,956,323,896,434,814,506,405,419,115,644,625,140,674,051,569,632,
265,199,312,359,984,590,301,329,441,224,500,289,513,239,570,925,658,279,863,
289,786,796,952,075,099,749,475,566,415,593,538,711,128,981,431,230,720,319,
565,660,255,494,308,130,490,205,022,559,349,175,889,522,554,871,291,160,018,
916,539,449,382,238,739,430,986,709,940,760,147,019,190,437,827,213,707,768,
952,001,987,647,984,182,998,866,250,461,783,142,835,370,674,572,625,455,426,
459,719,641,851,978,783,647,304,011,493,587,487,236,409,629,867,627,521,442,
703,300,066,908,574,447,600,294,431,420,985,870,399,104,922,375,945,510,485,
072,847,386,198,223,458,924,481,498,587,260,251,614,087,895,379,448,866,489,
863,655,892,306,942,125,326,408,960,810,655,742,961,225,382,056,508,076,585,
462,658,868,401,796,499,483,125,351,307,368,584,043,595,142,578,560,374,632,
482,132,832,585,297,502,402,594,579,636,171,722,509,497,640,027,437,463,606,
266,046,259,083,837,984,386,083,919,025,934,018,556,945,028,944,805,609,858,
487,513,872,833,304,552,485,040,937,169,556,540,138,949,850,100,727,436,730,
000,602,840,785,975,623,710,898,686,562,139,438,267,544,236,443,901,200,055,
250,661,287,019,965,689,486,616,827,723,461,994,487,758,843,783,443,438,325,
460,165,083,193,564,356,294,395,907,788,533,766,693,759,865,486,049,823,777,
356,392,680,815,746,404,544,946,518,657,160,192,517,276,467,712,447,012,597,
750,048,298,658,543,090,940,871,078,842,540,054,136,804,168,958,889,398,793,
957,771,094,653,889,681,526,831,558,252,137,694,108,876,829,042,687,699,659,
099,320,118,354,290,851,539,997,261,545,126,677,464,101,125,612,312,456,238,
336,847,389,665,716,779,653,278,435,405,894,134,034,285,948,663,104,647,161,
547,003,231,641,808,771,914,240,223,376,616,324,872,267,896,191,627,737,323,
185,367,064,410,106,066,101,368,804,277,272,736,038,988,394,297,433,221,091,
045,570,177,953,487,403,208,342,632,838,284,318,841,817,920,933,801,415,258,
845,267,699,141,642,233,627,673,514,880,617,916,894,416,293,654,411,429,676,
742,724,035,612,636,166,890,747,309,205,734,327,229,063,211,947,833,235,799,
938,433,534,952,294,412,798,820,638,328,820,700,496,925,248,252,083,487,691,
316,578,300,269,860,200,407,283,727,139,576,453,297,244,633,426,810,421,650,
631,904,999,320,164,107,628,902,027,796,623,963,140,608,011,416,808,666,457,
548,814,251,105,790,656,151,252,361,257,198,667,227,300,139,896,577,856,916,
744,243,384,473,785,486,729,802,727,156,455,236,018,304,270,605,843,255,034,
202,735,605,343,630,645,964,625,756,450,199,345,474,575,697,094,505,090,070,
720,319,848,775,251,011,306,474,638,085,727,256,742,549,150,345,470,042,914,
402,097,918,614,584,386,004,202,821,925,456,870,530,193,600,493,827,565,596,
820,580,707,741,404,173,032,541,119,687,401,634,063,388,257,992,169,677,213,
616,160,441,322,632,642,168,183,903,498,301,167,677,304,835,917,424,902,722,
564,065,373,001,325,346,912,770,438,975,714,392,590,108,431,132,950,640,690,
324,726,774,886,232,205,166,364,866,954,092,023,097,188,435,251,636,518,052,
921,532,555,193,450,811,656,121,105,573,344,326,008,884,926,374,174,010,521,
648,529,799,703,293,515,738,219,754,814,400,431,635,533,868,373,530,287,374,
452,169,573,141,568,335,415,362,771,378,352,564,841,050,483,505,921,868,066,
593,111,725,304,347,522,341,310,731,531,494,586,577,764,301,257,872,016,911,
595,489,180,369,352,526,256,044,998,311,005,530,161,875,116,449,428,599,102,
220,569,598,839,273,400,399,402,792,238,627,528,469,760,557,268,021,503,874,
459,110,292,778,894,145,522,763,202,223,646,350,920,315,958,237,705,140,117,
322,809,525,547,704,315,837,465,055,144,284,629,030,956,779,360,694,404,216,
915,684,216,127,549,112,780,549,217,137,479,399,170,391,430,610,673,149,448,
393,120,347,381,485,144,371,463,672,165,389,272,205,044,775,697,054,390,557,
114,817,300,977,501,139,768,218,049,993,702,758,992,046,546,270,838,914,505,
682,627,131,852,317,938,378,319,281,569,714,977,018,444,984,881,816,570,477,
843,434,749,269,976,583,866,108,022,065,130,165,838,659,827,387,074,052,656,
287,213,744,466,254,606,887,935,255,984,074,567,789,812,704,833,986,292,154,
435,827,211,091,818,686,271,148,782,298,280,134,205,631,684,639,730,394,195,
738,642,425,840,694,072,035,095,371,591,694,464,174,339,835,860,048,237,501,
304,524,099,425,805,965,765,390,127,566,596,325,013,324,716,668,480,573,570,
697,292,779,200,044,731,623,585,408,509,774,114,093,377,291,423,705,319,550,
407,758,575,324,669,215,518,422,186,242,466,824,136,558,404,796,114,687,210,
385,606,420,022,990,939,554,825,233,830,342,225,892,424,022,159,681,267,506,
723,181,275,883,110,649,759,245,875,535,001,778,431,531,478,891,356,860,103,
616,653,181,251,119,797,361,296,196,507,898,966,865,730,296,543,162,905,383,
720,344,737,445,529,008,682,363,010,872,286,784,366,685,963,702,016,550,744,
409,491,593,135,852,599,169,837,095,220,514,537,626,770,638,314,045,127,538,
794,769,635,632,189,675,425,377,896,261,585,632,975,791,462,989,814,194,377,
183,055,543,756,967,642,136,095,263,358,586,376,288,830,445,683,688,616,181,
548,899,193,791,471,805,667,504,229,465,186,698,429,036,205,938,793,769,033,
498,166,506,283,700,941,077,057,324,236,605,123,938,772,146,895,193,590,382,
180,201,580,698,510,416,308,241,555,626,032,473,337,036,502,668,314,877,539,
433,047,052,879,071,298,727,418,250,635,966,129,917,870,298,537,777,144,431,
294,667,234,083,782,668,893,478,075,478,580,446,436,016,723,066,149,101,584,
433,421,387,385,255,179,159,215,805,333,458,605,882,332,560,349,847,713,588,
735,668,852,824,235,623,204,488,841,970,187,048,795,502,774,961,533,283,780,
237,744,553,731,891,571,268,059,444,040,896,010,029,868,664,046,075,834,198,
387,520,987,811,180,705,423,955,333,673,307,071,719,355,152,812,157,622,767,
866,001,805,078,611,263,937,978,930,158,659,304,165,745,457,613,515,843,676,
882,921,628,765,428,500,737,291,711,002,298,847,187,644,301,541,048,034,377,
447,966,634,531,034,488,935,103,572,708,893,337,683,381,879,581,338,935,244,
394,992,965,676,297,065,502,466,667,813,230,898,249,196,307,823,877,268,902,
965,759,338,007,742,644,335,725,952,596,292,225,999,793,854,956,344,389,768,
446,615,430,833,125,069,835,657,974,456,756,446,818,262,331,996,953,166,846,
355,438,762,711,197,644,892,309,036,661,020,195,431,970,909,669,221,181,623,
995,055,103,605,221,470,096,371,474,775,601,925,184,040,461,344,592,614,039,
802,183,374,665,075,879,116,052,111,608,511,796,421,327,178,308,943,233,271,
223,885,110,760,743,870,593,206,694,779,068,603,809,941,281,477,675,541,094,
665,977,947,536,782,203,165,605,999,733,587,730,760,020,550,211,015,052,272,
968,093,816,295,886,101,365,345,654,246,447,820,495,673,214,218,256,338,208,
317,297,415,053,049,403,349,634,200,179,669,450,728,598,110,794,763,686,653,
552,498,090,809,227,916,379,181,756,862,607,888,458,057,154,679,005,795,051,
567,358,959,124,082,195,820,141,875,025,766,111,736,110,199,647,215,766,410,
540,991,698,930,436,565,616,852,641,002,220,550,132,078,445,227,032,945,011,
220,493,301,854,872,561,574,685,880,534,161,304,801,448,825,080,224,965,328,
947,533,143,059,256,542,412,197,311,973,047,667,164,496,237,973,360,584,334,
014,475,227,405,251,517,082,542,174,238,818,437,330,477,992,461,082,518,965,
548,426,617,627,857,279,314,063,059,091,422,419,292,739,733,461,137,836,459,
541,667,757,778,846,826,809,324,793,146,078,058,210,275,004,477,494,656,399,
366,005,238,059,649,553,108,587,218,100,394,687,345,754,209,086,024,953,441,
903,970,591,734,556,183,634,413,725,595,526,823,028,717,736,686,201,019,865,
528,662,781,966,221,586,216,530,458,975,537,829,209,130,224,792,280,380,635,
666,448,759,014,024,469,260,346,043,412,044,222,312,469,224,420,223,737,088,
636,308,570,541,981,223,473,477,429,310,539,202,849,642,553,149,138,502,433,
340,094,261,143,107,006,627,867,583,316,012,553,400,586,356,579,533,922,242,
900,575,288,515,169,457,406,052,257,960,655,223,048,562,506,625,168,935,045,
835,547,509,421,626,880,980,152,016,455,763,008,576,683,334,104,971,298,399,
195,925,921,311,525,827,478,099,620,405,875,691,671,525,119,862,028,957,203,
386,426,871,012,233,699,117,772,200,795,468,370,717,784,201,011,518,971,917,
912,695,106,201,636,334,661,796,984,850,496,907,600,891,032,960,592,509,313,
096,218,162,927,315,691,565,704,132,204,055,018,639,518,692,345,161,019,619,
922,021,952,676,645,145,895,839,533,868,539,481,637,705,492,707,710,449,229,
978,019,118,146,477,049,366,843,962,310,978,869,480,191,429,609,330,311,257,
323,232,149,423,061,088,556,697,455,626,435,249,119,744,772,987,329,912,115,
883,831,964,647,150,752,660,586,327,187,738,189,909,942,917,764,032,587,121,
027,923,348,471,409,259,446,970,163,171,401,459,132,282,683,727,867,551,623,
158,505,539,502,527,646,516,660,076,229,377,597,961,640,728,057,214,016,745,
082,651,142,307,863,622,278,593,296,745,195,555,972,295,057,640,276,752,058,
850,901,985,119,690,392,151,254,802,721,573,635,874,938,125,311,843,308,283,
308,242,656,661,317,018,536,999,475,249,779,208,162,495,441,817,132,338,422,
798,558,627,874,256,254,842,241,869,544,446,262,132,525,851,005,597,848,811,
257,227,375,363,898,083,555,158,603,275,988,300,740,501,413,661,966,614,539,
317,088,171,747,711,402,293,135,455,303,661,181,779,397,404,466,725,634,510,
469,229,257,248,297,904,028,597,000,215,933,000,326,665,454,369,178,832,443,
878,734,363,625,798,882,432,039,441,569,986,664,466,896,431,475,110,461,969,
759,400,411,900,987,633,318,217,116,377,467,216,095,876,646,826,903,577,392,
837,849,083,544,507,953,935,776,340,858,122,196,316,909,541,471,151,909,322,
871,209,881,944,630,799,463,098,333,396,655,427,856,968,171,038,629,027,027,
488,584,733,125,292,151,638,870,464,429,392,888,274,487,604,568,585,157,786,
802,952,837,101,001,597,394,960,630,780,183,762,793,111,960,798,367,516,179,
223,593,680,130,627,099,762,744,343,148,721,953,886,766,850,015,548,177,921,
990,406,953,570,175,325,455,771,393,037,995,527,865,865,489,129,736,582,394,
575,407,818,583,498,694,721,811,456,116,210,780,348,884,779,023,116,332,724,
972,409,220,664,043,096,433,172,626,633,399,164,637,261,714,318,011,595,447,
706,632,591,639,023,750,612,623,418,388,171,979,511,611,776,711,629,641,039,
496,601,612,580,385,837,038,248,575,697,675,878,577,871,509,650,735,124,411,
075,090,594,762,050,488,605,940,824,235,282,698,976,908,318,381,145,930,539,
589,759,522,313,618,017,998,354,187,483,910,677,857,119,698,602,736,550,795,
913,508,535,617,598,357,486,817,886,248,435,498,527,256,908,424,498,697,423,
603,125,601,105,409,375,963,799,811,873,556,650,824,894,059,421,720,237,378,
768,178,895,397,294,996,483,102,512,005,195,348,164,381,886,707,753,532,000,
064,447,521,823,644,841,410,870,415,317,387,247,688,564,446,666,772,866,247,
283,293,006,969,855,319,688,949,541,037,906,076,169,511,067,363,698,071,942,
262,449,305,919,603,219,287,594,981,621,308,080,794,737,170,412,663,939,933,
700,149,138,301,990,568,111,726,372,552,981,522,884,339,366,914,583,541,753,
357,449,683,212,712,545,091,843,253,585,805,599,786,799,993,486,675,425,705,
620,832,555,052,110,215,997,695,616,899,193,631,785,721,164,512,854,358,930,
128,777,965,249,372,857,955,393,535,431,174,712,154,939,268,332,398,238,724,
584,795,094,606,399,689,143,414,974,902,171,718,406,101,540,022,237,757,722,
180,699,402,654,501,472,584,872,198,212,377,943,379,436,151,421,483,308,490,
444,704,956,992,617,997,451,845,801,805,939,337,858,019,857,638,391,666,444,
979,327,421,562,015,149,572,116,713,475,553,924,130,863,931,028,458,314,096,
829,690,808,435,321,482,071,482,403,085,165,189,299,638,324,937,602,885,948,
794,523,269,660,327,976,238,171,613,321,641,916,968,628,060,336,924,013,974,
888,652,106,269,645,859,247,850,867,499,683,714,675,437,905,477,509,717,907,
925,769,600,182,800,287,900,679,788,793,230,932,479,187,632,667,258,674,789,
084,687,155,293,452,781,450,796,744,109,868,688,798,881,873,228,265,208,004,
089,661,427,218,093,123,893,928,150,999,428,740,111,778,202,631,652,065,133,
306,463,903,399,187,829,881,292,440,173,129,527,302,881,199,423,781,439,183,
796,222,802,721,981,017,267,714,168,996,471,737,997,607,958,209,286,115,863,
178,890,195,904,294,305,089,708,390,076,070,120,536,593,118,791,954,818,898,
014,883,942,330,037,110,559,075,506,986,837,930,271,481,485,356,347,165,545,
740,553,802,718,871,989,532,711,467,321,743,220,585,777,641,211,518,754,208,
345,431,006,661,751,574,781,869,337,821,473,573,359,999,870,892,315,250,583,
493,794,090,563,394,252,210,741,311,394,799,566,957,484,104,808,230,584,376,
701,678,443,397,394,552,250,510,503,755,829,769,379,984,338,883,393,985,185,
704,726,723,622,077,177,733,267,169,473,724,705,377,321,258,236,251,035,981,
305,608,565,665,305,951,310,387,878,854,446,125,306,302,339,755,553,624,895,
794,763,424,383,384,813,591,890,537,411,754,341,194,600,115,330,408,456,886,
662,517,849,466,020,058,405,334,667,171,719,995,343,261,512,069,206,726,705,
059,061,716,849,681,406,093,657,669,884,750,697,674,949,198,546,494,738,727,
247,840,358,701,339,965,482,202,787,042,065,692,939,828,092,907,439,459,657,
335,476,169,464,152,892,956,311,780,981,866,896,576,685,342,636,820,325,723,
526,079,518,915,945,762,990,888,839,559,380,165,512,545,475,265,645,245,099,
877,131,346,989,456,466,022,614,317,641,379,847,263,678,885,006,886,028,348,
166,472,966,245,100,571,592,627,195,814,203,423,484,777,544,517,311,629,161,
268,407,538,054,363,385,004,889,996,359,405,567,296,649,393,004,322,022,020,
009,644,869,829,712,422,266,627,400,310,527,860,352,203,988,807,804,357,384,
948,584,158,049,059,054,037,893,195,625,803,733,786,836,081,700,031,724,053,
117,247,802,526,773,597,956,549,025,757,915,966,447,804,402,655,953,764,952,
472,548,344,595,638,596,946,770,190,318,308,626,620,928,953,338,502,466,331,
074,209,106,336,444,360,051,802,579,243,238,778,620,775,891,909,230,104,455,
570,090,957,673,726,799,930,877,228,894,288,572,573,738,591,387,286,427,549,
667,689,167,093,558,270,671,940,233,738,069,147,324,414,366,220,839,180,876,
313,441,629,997,293,199,045,743,167,193,063,210,943,172,500,581,498,131,013,
206,985,285,619,461,095,699,000,668,740,603,169,548,217,511,503,188,095,511,
657,361,588,946,979,578,002,232,546,240,839,312,177,071,414,447,979,989,278,
206,413,190,399,744,908,670,392,916,136,591,047,439,201,717,256,167,589,520,
511,231,986,823,255,996,358,347,671,875,045,779,509,697,061,429,440,767,524,
713,115,379,651,382,446,445,313,227,388,599,982,632,457,206,133,681,377,543,
267,112,818,684,396,403,697,932,271,598,149,746,691,735,137,193,359,016,510,
045,857,148,299,226,184,976,804,578,529,962,117,266,470,307,481,500,156,516,
518,619,680,294,155,140,053,775,499,887,291,266,338,280,204,027,816,478,267,
452,165,558,771,388,001,941,041,790,973,140,495,508,339,753,504,206,696,639,
820,148,107,875,832,011,718,371,434,768,604,239,364,169,682,567,638,850,887,
917,431,909,132,695,243,435,755,018,940,500,678,085,280,914,554,442,875,813,
588,565,970,262,033,181,847,324,267,974,332,890,988,120,894,323,001,923,263,
395,624,040,787,510,427,234,953,014,337,444,136,933,513,421,755,176,801,477,
006,485,093,980,240,225,405,867,308,855,660,849,824,207,616,251,292,846,808,
733,462,482,459,548,490,953,717,465,928,023,658,851,857,602,034,553,170,623,
511,197,771,951,231,395,052,442,602,356,609,835,978,939,491,944,540,686,245,
026,189,483,702,727,798,375,058,965,637,533,060,377,753,428,329,390,833,230,
158,131,430,770,652,038,780,227,749,451,797,245,707,103,525,382,113,949,532,
461,643,378,817,567,523,629,397,131,868,042,966,455,549,224,551,505,902,105,
635,174,861,588,633,867,342,725,593,378,469,720,784,937,818,203,549,831,401,
228,154,973,915,853,764,614,710,071,933,063,515,899,810,680,395,958,629,936,
629,761,462,523,945,841,109,850,587,218,688,191,670,242,279,172,045,916,018,
487,583,324,179,876,826,911,311,929,826,891,958,605,166,186,769,607,965,274,
341,161,006,732,276,282,904,904,127,324,454,878,138,719,912,407,849,309,223,
985,354,781,013,039,902,872,835,738,014,571,653,267,121,510,535,272,626,132,
806,871,673,662,147,133,452,507,977,989,008,558,275,879,134,858,166,251,599,
270,578,294,009,050,175,438,666,505,558,487,895,426,751,909,269,749,269,649,
679,162,719,405,402,188,833,788,954,212,983,970,757,658,568,001,210,302,732,
498,835,901,940,655,361,993,078,813,011,262,767,317,313,741,760,853,933,922,
841,918,812,369,833,866,254,352,625,669,476,760,921,995,066,506,780,470,376,
636,475,815,599,609,019,297,538,281,924,795,569,927,380,865,342,844,964,223,
971,502,426,237,235,679,458,788,863,821,344,162,978,086,478,914,270,158,760,
030,729,256,427,040,646,079,789,319,868,703,630,179,318,632,901,195,418,595,
174,856,073,984,128,325,358,691,885,130,330,850,716,578,599,522,058,547,467,
636,154,032,155,837,415,138,489,051,248,813,956,098,074,503,218,129,249,431,
420,858,045,449,007,793,818,357,310,331,566,858,280,761,225,412,938,215,691,
205,091,030,549,874,776,033,221,281,298,657,199,947,017,966,505,249,781,473,
393,515,847,194,375,606,523,873,005,927,675,997,624,351,907,520,419,477,426,
961,964,528,747,653,790,925,707,307,631,362,551,369,571,294,241,581,760,460,
470,743,233,658,977,756,961,502,387,704,664,030,590,068,879,735,187,928,550,
307,305,108,342,061,004,732,279,321,285,373,145,994,397,167,373,439,580,677,
066,424,447,627,859,479,077,836,995,068,250,203,914,813,494,743,401,491,148,
223,210,122,247,637,966,902,871,960,941,717,729,714,871,900,690,840,213,676,
929,908,777,358,715,044,868,833,295,684,585,694,713,429,238,563,933,206,893,
002,763,681,821,829,981,253,023,532,172,437,860,424,406,304,447,366,991,703,
530,906,530,094,715,697,368,113,924,381,962,792,572,362,466,272,165,945,597,
328,731,361,418,929,326,282,443,039,978,438,283,003,370,717,628,976,249,193,
706,455,236,664,621,288,118,869,461,285,621,257,443,509,750,227,617,728,080,
033,747,451,600,582,559,072,689,691,389,984,533,414,076,750,897,512,336,501,
565,875,534,719,069,915,342,237,123,793,202,564,447,787,343,290,936,589,943,
581,801,230,324,070,864,068,722,382,197,457,650,749,788,095,515,027,851,288,
758,840,142,351,073,659,422,862,205,117,285,543,990,263,721,643,550,117,291,
405,545,015,120,184,243,366,834,237,388,447,927,430,251,838,467,475,900,101,
920,352,118,812,939,757,264,663,293,128,353,681,723,084,290,659,166,583,826,
716,225,606,699,790,772,330,931,835,732,453,175,020,226,343,217,908,220,405,
499,398,409,322,645,027,163,086,865,155,540,360,441,712,995,215,425,458,146,
879,232,695,514,672,458,432,574,246,828,738,592,950,427,461,087,297,450,123,
908,471,808,430,030,357,769,736,855,822,402,928,111,624,682,682,412,848,077,
783,115,048,969,355,793,758,566,037,945,461,103,056,754,739,550,043,913,386,
498,472,166,322,342,054,188,347,631,296,520,530,347,625,896,619,923,691,228,
306,500,329,044,854,258,689,681,610,251,472,742,109,719,044,486,647,982,832,
612,721,525,676,292,345,464,377,374,659,012,541,432,319,685,500,961,949,656,
446,855,421,667,314,562,235,901,198,307,925,143,014,063,610,915,330,588,173,
955,469,979,698,354,201,829,205,008,727,700,432,353,292,447,486,703,585,584,
921,401,344,939,061,025,468,477,540,569,293,548,165,609,739,558,171,616,331,
238,792,536,919,598,617,834,703,649,571,787,244,940,981,514,699,496,738,551,
026,362,183,931,396,773,843,278,247,695,610,592,814,751,870,286,630,532,082,
294,459,527,159,630,276,219,243,976,660,353,825,148,125,623,649,783,029,560,
563,245,698,054,144,043,490,617,562,961,531,646,440,030,617,528,991,076,541,
202,614,247,059,324,459,300,226,047,929,200,859,229,082,949,505,758,424,973,
167,201,516,714,807,234,098,287,694,967,511,375,858,123,452,915,302,622,889,
193,240,670,144,881,508,861,017,402,200,246,236,573,720,911,889,279,484,809,
685,771,176,282,922,505,109,054,922,926,199,031,267,467,635,632,277,985,794,
289,658,495,521,951,329,001,812,744,094,633,500,864,589,436,092,731,037,518,
806,223,845,832,394,119,131,066,585,142,948,502,295,552,719,160,350,325,497,
753,148,527,015,634,868,843,033,718,120,931,290,459,865,022,848,050,556,498,
769,334,108,457,300,687,211,537,750,955,364,762,040,242,745,085,079,256,847,
125,541,364,600,417,374,097,076,786,333,267,029,674,674,015,328,904,531,210,
447,153,396,456,191,614,682,642,360,734,102,805,655,462,437,802,183,035,858,
535,254,729,300,175,152,934,243,769,935,010,914,074,116,124,852,310,173,941,
517,022,595,211,873,524,645,767,464,397,239,130,339,395,130,986,255,530,740,
214,441,659,492,104,847,436,494,477,885,331,924,874,704,128,937,547,111,298,
749,711,626,176,073,946,747,538,828,627,621,191,374,530,019,448,662,574,124,
262,249,061,928,474,189,213,550,662,219,421,819,513,791,647,181,011,835,907,
693,898,249,749,103,477,767,463,783,016,769,204,996,378,324,594,392,200,182,
520,696,670,619,028,845,911,224,967,734,690,873,004,835,463,990,540,690,236,
051,908,911,562,231,481,691,340,687,385,886,997,537,132,293,471,030,054,120,
065,603,254,834,107,687,276,704,166,997,952,303,873,388,562,599,031,177,725,
345,710,552,355,871,299,998,243,448,704,545,057,256,965,446,974,261,257,337,
157,082,686,370,249,049,050,643,026,010,854,131,449,059,027,514,956,615,363,
120,137,028,674,744,402,176,741,019,427,909,891,989,746,047,143,524,480,601,
420,796,221,572,620,273,761,256,173,020,945,821,754,209,086,236,725,533,821,
738,496,672,939,800,275,281,885,674,438,929,182,671,151,614,223,616,599,057,
374,640,575,838,026,042,406,111,586,212,563,885,167,360,809,491,751,596,379,
718,030,907,246,678,689,093,368,724,653,371,217,762,030,185,334,142,644,378,
545,106,135,372,705,148,833,363,332,572,060,481,610,841,933,387,887,072,660,
105,478,472,377,170,027,131,848,444,434,156,923,276,443,905,237,259,126,534,
901,926,448,018,509,578,150,787,816,221,926,883,554,404,144,602,904,528,726,
234,379,509,573,979,375,951,778,106,259,398,830,954,763,524,072,589,327,582,
144,771,606,760,854,789,078,993,683,884,074,565,206,122,429,657,637,445,716,
280,585,367,420,489,326,934,606,647,042,369,325,716,193,320,833,745,969,392,
434,532,866,227,446,159,259,626,955,564,300,730,767,890,625,942,860,955,047,
581,207,067,151,580,343,280,937,032,108,500,308,439,340,056,738,689,521,943,
492,900,649,120,419,268,658,367,917,794,787,240,059,338,661,679,316,178,278,
741,875,602,591,554,828,039,618,255,863,752,591,098,550,119,211,247,587,608,
520,754,332,022,376,822,526,815,624,265,918,940,010,005,140,177,553,449,437,
634,998,970,988,421,137,574,873,065,336,055,772,288,880,569,119,515,018,615,
240,903,699,389,049,162,877,439,333,914,390,342,949,074,658,402,542,259,289,
533,820,377,131,950,534,374,577,985,435,364,005,980,969,904,937,822,595,254,
651,378,642,923,843,820,719,892,361,789,159,281,311,867,390,293,133,048,008,
143,838,234,700,453,110,098,562,494,806,220,335,876,044,956,775,413,658,084,
747,240,576,733,981,814,173,769,921,697,470,534,539,432,477,899,602,028,852,
770,432,317,029,596,635,234,370,677,806,738,707,456,578,294,515,299,804,137,
523,120,291,820,099,522,068,113,672,152,492,076,138,299,242,718,664,944,579,
258,858,657,088,909,669,386,282,424,843,848,592,876,465,187,499,210,829,812,
373,081,573,180,213,796,616,759,508,506,112,334,795,756,327,331,044,333,856,
814,931,419,385,384,441,145,844,035,431,275,534,348,499,423,733,193,017,561,
741,900,707,940,107,824,474,240,416,544,703,528,050,958,479,933,315,594,061,
474,496,496,630,225,022,065,221,001,076,163,592,230,062,089,634,808,495,567,
960,137,498,948,581,447,867,116,746,082,891,014,560,795,264,106,055,256,521,
335,686,209,909,107,207,061,339,568,957,952,358,119,705,110,768,307,556,260,
530,064,666,402,325,219,083,633,367,266,874,227,448,550,842,647,248,412,731,
784,528,023,105,167,649,770,879,615,572,843,929,484,052,310,624,498,857,093,
867,198,690,558,576,316,842,450,386,122,961,919,873,766,655,750,920,366,832,
447,467,610,535,869,603,191,252,947,816,009,221,502,333,716,824,588,257,206,
887,378,082,171,292,964,545,128,702,191,279,936,131,805,186,477,588,020,645,
208,855,135,016,541,969,479,925,200,879,917,533,268,713,357,723,376,500,833,
790,738,931,713,452,287,445,783,275,097,833,777,389,688,604,486,961,936,316,
001,429,614,918,390,483,258,834,771,398,707,105,807,194,060,032,204,309,179,
062,655,004,591,498,807,695,330,406,201,175,615,896,145,275,383,658,801,215,
060,054,332,538,820,312,637,300,134,453,275,589,453,683,125,166,626,976,628,
105,086,592,044,280,669,521,312,218,631,048,756,511,486,677,304,899,343,669,
368,401,724,429,096,552,003,334,613,760,192,193,630,347,756,008,633,009,113,
908,498,735,370,106,038,250,550,035,360,706,604,084,809,816,201,771,401,568,
843,212,495,766,975,505,194,041,401,480,457,432,977,674,791,535,145,296,223,
041,476,052,659,711,319,023,680,800,082,403,377,246,066,180,474,712,280,257,
202,612,135,824,767,127,168,289,848,429,787,021,537,302,019,986,782,380,411,
374,621,631,428,811,833,785,612,831,508,094,167,631,493,868,810,780,587,517,
897,616,019,753,906,296,907,376,688,119,730,225,089,995,678,776,771,403,928,
352,194,453,582,219,648,367,252,624,354,630,679,148,328,332,605,855,155,064,
370,499,705,189,196,859,752,195,605,619,339,237,841,843,119,155,570,498,995,
620,000,207,164,156,957,203,416,472,358,825,954,693,178,306,262,550,392,093,
421,227,947,212,797,107,801,521,555,903,438,655,149,509,271,033,170,231,601,
605,835,335,839,102,691,108,613,559,742,227,145,201,299,787,368,087,457,784,
171,855,839,598,892,773,631,519,555,220,630,570,496,641,080,804,702,686,124,
764,191,878,888,684,556,407,261,020,150,801,653,829,677,417,793,691,862,961,
282,733,261,755,701,344,375,364,811,418,353,971,268,375,302,107,724,725,922,
817,272,261,542,908,013,794,805,574,977,784,645,121,755,401,152,137,439,505,
609,601,015,137,506,225,558,516,945,085,135,799,740,325,202,756,327,549,302,
364,600,411,432,034,309,961,579,562,945,292,357,929,902,799,324,222,013,990,
144,750,959,499,109,901,149,013,336,219,176,871,459,709,831,079,364,747,173,
809,505,218,060,748,973,556,387,907,977,977,920,535,343,909,050,598,769,663,
947,603,177,097,368,958,732,418,316,667,176,873,515,951,592,514,679,103,494,
937,289,075,820,699,404,510,273,698,825,652,841,029,936,239,438,804,050,070,
109,622,103,005,176,310,574,371,564,506,377,291,579,295,341,726,092,956,375,
765,743,967,971,405,468,100,340,629,194,098,909,650,740,984,349,454,947,128,
132,978,010,778,539,459,771,822,356,349,618,944,032,655,940,091,857,277,422,
138,963,645,145,479,140,730,436,290,209,573,445,717,323,174,234,770,523,165,
278,314,423,777,093,026,919,221,645,185,429,659,193,747,344,949,424,896,075,
067,356,743,501,571,104,122,719,414,799,669,220,636,043,894,998,717,229,948,
038,105,937,236,119,675,301,689,417,877,469,322,581,796,630,501,791,207,973,
772,185,617,669,806,260,770,978,179,951,934,736,460,693,421,083,516,161,351,
628,256,548,442,019,753,534,951,821,926,998,056,582,121,717,744,071,790,036,
422,760,846,138,825,135,050,575,345,485,530,659,294,613,179,984,813,283,237,
097,239,114,251,159,072,557,907,967,761,236,576,300,815,594,512,090,054,210,
938,402,530,219,253,814,787,172,320,972,099,358,527,321,986,744,578,143,872,
499,840,586,857,937,519,094,765,717,756,908,889,243,579,843,971,973,364,380,
882,460,961,604,607,283,169,984,291,252,710,193,641,770,201,802,258,786,618,
822,493,475,159,055,728,621,026,332,432,273,876,651,973,844,395,721,231,805,
934,946,510,740,874,752,614,641,506,673,264,713,013,892,799,491,622,003,903,
461,449,513,498,528,855,152,231,732,899,297,389,263,429,132,461,807,638,284,
098,665,733,236,960,628,433,186,612,048,907,731,467,507,277,138,683,949,087,
175,877,711,581,905,285,444,546,770,098,548,295,486,271,190,521,392,355,832,
954,103,790,986,024,063,247,633,939,389,675,122,391,867,075,350,975,842,505,
889,772,826,261,231,149,766,527,630,423,799,782,946,767,340,671,779,588,936,
971,124,304,080,205,655,502,560,440,387,545,832,643,784,531,798,464,226,713,
481,666,367,071,224,108,326,984,032,639,582,498,063,154,183,346,977,396,206,
170,193,822,567,570,616,601,982,744,915,727,616,226,155,308,935,387,986,916,
913,516,051,627,110,360,945,505,212,539,984,560,727,473,021,405,520,103,721,
975,842,327,642,212,955,083,271,551,215,267,681,212,398,703,640,974,849,607,
240,144,367,353,519,718,993,871,120,737,100,714,615,137,964,862,003,907,302,
304,142,392,421,159,041,491,564,918,598,496,033,961,412,601,454,883,069,311,
876,665,952,542,102,342,974,463,901,943,181,795,297,305,531,289,582,867,647,
538,718,700,334,460,138,258,566,465,524,174,636,332,314,209,067,497,966,604,
281,792,454,691,733,962,023,893,363,200,829,210,424,755,137,107,075,034,136,
176,637,804,649,591,554,447,299,696,473,637,886,785,364,116,381,532,486,861,
143,900,820,781,064,193,800,589,534,428,638,571,217,155,590,692,985,241,638,
373,137,881,733,972,053,206,117,518,920,386,966,421,814,968,379,749,370,967,
263,704,273,295,167,943,519,803,774,279,032,633,733,977,262,981,451,184,653,
639,714,823,507,665,993,102,481,168,517,413,187,406,747,453,735,823,315,656,
865,204,860,839,460,715,553,866,882,434,616,703,554,084,711,838,654,253,270,
581,684,223,546,712,159,965,880,821,585,185,987,460,759,436,804,713,407,398,
837,477,467,832,599,708,988,136,393,943,117,051,195,520,316,541,274,760,624,
118,595,328,210,267,882,667,637,742,082,359,661,797,536,722,114,238,776,815,
189,540,669,012,341,738,364,655,696,967,630,348,461,681,846,873,471,255,148,
434,134,632,511,096,780,618,427,145,616,870,207,994,645,059,232,482,932,584,
374,102,107,572,831,159,516,402,929,022,693,604,664,053,427,527,759,506,581,
055,753,775,554,245,893,412,292,598,468,943,882,034,807,433,665,821,680,017,
927,750,905,790,869,325,215,495,468,998,704,917,818,855,930,617,650,050,187,
620,376,384,720,324,349,776,618,843,389,242,521,332,286,438,877,812,301,222,
230,293,502,461,284,122,344,297,300,300,190,893,128,131,971,694,044,875,681,
521,630,066,416,488,136,644,862,676,005,212,922,611,016,344,517,480,303,584,
797,904,545,007,448,686,991,410,811,936,135,817,864,712,194,914,759,829,187,
546,923,816,470,541,355,490,001,468,846,218,108,028,697,292,173,565,947,170,
319,764,451,448,653,031,616,284,780,504,721,074,853,986,203,781,877,711,376,
230,944,390,773,185,376,267,326,736,517,597,150,771,610,675,101,090,141,499,
737,338,907,097,947,060,099,725,604,288,371,185,874,380,902,044,114,551,313,
058,991,115,155,597,543,777,370,293,845,487,604,976,500,639,484,054,343,721,
209,935,327,267,934,853,557,640,340,865,637,571,530,793,919,191,013,582,917,
181,502,494,215,887,173,027,134,839,917,869,967,418,212,906,541,794,169,687,
738,768,032,893,983,835,470,142,383,121,918,182,131,249,647,086,307,713,617,
246,889,508,729,761,922,811,667,644,767,944,658,833,158,729,766,320,640,746,
739,970,737,781,352,763,972,442,358,928,124,108,117,452,536,239,653,191,114,
543,066,058,214,950,760,696,757,491,321,180,050,429,100,313,125,942,494,907,
541,760,805,437,618,348,944,634,283,530,250,180,330,954,710,931,074,046,224,
651,346,153,081,511,600,303,133,497,504,861,299,448,898,628,840,423,519,510,
649,715,001,640,782,999,108,122,278,744,892,977,828,105,341,523,934,807,490,
839,229,943,022,941,204,765,553,383,778,151,476,225,932,666,471,360,872,431,
103,416,019,736,000,190,387,182,866,942,582,074,731,996,694,311,106,339,170,
025,915,536,076,325,116,682,648,183,213,165,640,543,530,212,584,967,990,343,
129,964,642,480,312,555,299,153,141,070,188,416,226,854,062,353,934,773,877,
762,601,271,251,315,876,319,112,571,758,694,935,820,438,332,381,471,863,972,
119,225,737,036,987,469,683,803,505,979,244,198,889,824,796,909,527,755,299,
511,618,995,673,153,080,556,483,582,926,873,748,203,544,696,631,292,257,815,
287,469,338,260,279,527,171,851,948,341,824,402,600,977,946,768,516,569,645,
507,831,155,979,104,706,787,742,058,617,076,624,821,379,762,635,213,281,730,
003,777,740,242,946,186,049,377,425,090,807,181,068,501,979,577,968,582,645,
029,743,650,236,771,572,162,865,158,469,791,613,105,180,775,387,147,123,267,
128,845,822,884,164,280,850,548,202,920,595,181,667,701,496,765,012,885,780,
971,803,638,298,175,005,126,995,707,047,121,103,947,315,317,289,123,266,109,
037,705,492,216,062,139,746,627,451,801,868,332,789,870,480,162,140,602,670,
545,738,763,017,340,874,963,642,193,862,303,874,371,474,943,195,853,369,432,
956,580,625,400,759,071,746,430,909,923,241,341,629,108,236,452,900,731,808,
595,494,240,582,154,753,353,992,357,286,465,472,520,651,572,707,828,830,684,
649,714,328,618,838,513,129,346,314,691,093,531,225,580,802,063,188,192,357,
952,516,723,370,472,564,054,146,977,149,160,829,939,036,971,972,943,838,483,
994,653,755,838,006,461,911,518,879,625,047,487,621,613,554,222,040,809,659,
295,943,626,887,916,514,172,302,766,470,540,402,493,623,253,015,677,977,658,
379,428,301,471,418,323,289,996,396,991,463,939,189,563,058,359,377,963,397,
552,972,702,111,954,996,745,449,044,803,850,836,899,564,128,607,712,068,687,
071,220,941,652,578,119,688,301,612,069,503,332,758,943,314,245,862,194,611,
329,066,187,857,075,515,362,407,873,912,263,106,011,220,172,799,841,434,245,
987,736,222,375,667,152,512,572,539,073,938,745,455,473,625,065,600,209,462,
782,183,504,372,174,623,151,094,890,484,603,131,328,256,168,721,807,352,443,
576,878,473,411,847,650,432,178,449,279,908,729,343,874,059,388,195,978,816,
335,820,552,091,146,993,774,200,615,534,926,342,842,521,451,421,242,989,313,
946,120,220,694,358,898,188,168,137,443,653,067,836,005,109,601,204,914,561,
139,842,622,370,233,263,090,350,807,065,317,716,896,775,414,533,293,935,453,
623,848,353,269,550,341,150,301,438,797,531,589,775,111,435,901,308,711,542,
505,180,645,874,772,795,955,179,691,448,854,967,801,110,319,695,247,299,203,
014,407,563,336,679,638,379,259,521,219,024,070,634,521,650,093,882,633,139,
667,851,150,916,484,227,436,669,921,526,569,039,838,977,504,087,894,453,565,
531,266,760,842,494,717,295,521,501,820,387,308,869,365,349,294,571,554,914,
179,356,637,206,353,883,225,029,002,828,549,443,884,567,991,398,072,154,711,
092,726,157,409,184,778,986,892,516,871,395,827,522,100,726,898,701,139,404,
400,168,121,907,030,604,157,191,837,965,203,761,477,500,370,316,401,496,829,
596,558,043,818,524,770,091,008,749,857,885,151,423,656,492,869,047,207,594,
997,167,432,874,661,186,157,223,067,547,217,206,076,545,877,155,085,519,112,
095,232,025,882,966,086,459,286,240,518,217,049,037,517,182,304,906,606,456,
534,561,238,087,232,283,813,288,870,744,299,384,831,888,916,635,903,544,074,
676,966,306,480,503,757,494,514,183,109,536,207,932,129,726,939,883,994,119,
364,415,346,988,451,429,431,085,117,233,241,093,119,640,807,745,644,024,317,
869,106,172,539,077,316,003,724,251,079,408,767,626,371,145,633,652,010,599,
298,328,088,399,255,639,358,889,521,598,530,084,554,489,679,826,995,442,645,
706,379,255,475,492,840,537,637,110,266,271,858,838,497,372,582,033,612,397,
304,701,790,556,888,826,246,484,478,206,844,444,747,041,952,942,393,315,152,
365,790,828,186,943,125,479,896,447,667,169,881,912,263,767,928,443,346,303,
191,218,169,278,649,595,087,336,646,952,819,459,476,153,045,053,212,491,079,
589,071,034,394,909,456,389,990,759,670,281,326,694,610,327,035,974,395,634,
527,819,518,884,934,851,280,763,435,099,329,484,116,642,197,836,925,112,900,
726,570,573,662,865,314,734,688,075,881,129,114,772,269,845,943,910,164,235,
361,598,898,940,357,650,218,787,004,620,528,471,094,654,003,867,929,737,442,
511,462,151,658,738,044,101,038,159,602,711,600,759,975,595,311,198,604,950,
289,412,237,376,037,578,762,900,344,940,825,407,519,930,826,773,238,637,533,
020,376,973,315,247,835,868,229,852,423,514,561,618,318,095,802,604,703,804,
332,212,727,605,608,929,719,271,725,742,849,696,203,877,022,716,821,806,795,
660,644,675,572,855,793,958,733,993,438,790,304,461,306,023,960,261,688,178,
498,209,616,590,518,124,216,002,928,987,488,652,699,123,052,313,062,993,314,
465,505,932,955,839,476,141,038,506,012,390,987,644,040,372,380,262,348,519,
940,557,305,923,395,900,257,882,822,038,827,612,461,798,386,709,254,616,924,
599,165,980,871,188,342,285,286,656,048,212,845,129,449,613,367,464,229,190,
964,209,591,230,218,096,074,212,856,313,379,746,140,399,950,112,134,365,081,
181,011,939,817,152,662,804,675,908,067,612,346,593,887,153,291,220,483,377,
624,426,961,978,196,605,602,296,434,227,586,917,163,369,571,103,671,018,406,
592,857,529,909,725,004,734,401,890,601,865,539,371,555,948,735,354,124,511,
005,529,545,944,316,877,673,269,003,817,761,641,661,834,896,345,636,465,208,
559,636,249,663,248,643,129,597,966,539,536,932,182,955,548,861,351,237,948,
888,674,335,889,853,890,312,684,377,229,338,985,180,062,379,566,363,307,674,
041,433,620,787,716,333,775,518,635,435,714,614,373,143,389,398,934,503,678,
163,710,675,561,535,275,342,156,280,602,152,638,034,035,443,745,939,233,770,
989,586,121,947,795,508,467,422,670,021,522,534,713,455,414,698,066,243,762,
130,583,496,675,882,634,465,527,478,674,417,254,794,101,383,900,982,662,178,
660,202,894,426,654,901,403,811,757,500,907,454,327,955,750,953,739,028,868,
380,193,361,009,676,454,075,831,046,396,019,548,119,064,426,904,314,061,943,
662,497,226,324,289,854,066,487,480,968,085,130,965,155,732,982,095,420,127,
202,764,074,189,709,236,492,743,141,844,050,117,797,984,534,453,710,360,027,
294,262,637,474,156,879,310,581,505,498,606,156,074,888,599,404,388,731,799,
217,312,212,366,972,731,304,366,299,463,743,552,331,419,779,693,055,227,149,
350,236,663,959,434,514,489,843,741,577,399,454,809,934,235,591,304,375,993,
923,252,356,536,255,605,537,410,834,527,602,703,525,721,152,178,177,229,728,
004,290,510,247,743,377,243,903,718,573,437,358,261,992,020,724,152,998,988,
863,773,698,082,532,434,050,740,493,806,774,757,502,680,206,310,202,884,296,
880,473,054,140,157,708,298,038,624,030,267,803,698,058,606,929,724,907,912,
311,883,216,859,255,653,657,735,006,058,073,675,485,966,926,652,492,442,770,
390,017,460,189,790,474,616,355,713,933,725,550,347,520,175,721,818,160,614,
270,648,796,277,348,120,642,335,935,204,404,882,817,628,084,337,957,589,365,
695,443,249,345,998,872,402,710,263,596,895,676,377,535,492,992,977,556,039,
551,621,911,306,979,417,536,338,083,885,460,269,353,232,672,793,268,801,598,
730,851,684,146,457,224,665,608,893,772,269,650,997,249,320,488,948,327,030,
158,017,054,003,265,415,182,455,390,642,228,450,220,075,205,514,062,744,691,
431,842,303,332,309,449,641,456,032,377,017,343,450,557,131,423,100,948,144,
244,727,100,789,460,756,045,093,468,752,245,754,419,141,203,570,147,081,703,
669,164,133,392,031,949,179,910,358,091,957,616,678,537,115,934,620,044,370,
743,154,282,843,715,841,589,302,610,864,849,679,631,162,461,082,182,181,208,
485,874,930,520,343,517,399,022,493,427,483,799,350,969,257,162,774,760,063,
359,630,871,772,276,365,348,800,329,806,119,321,593,100,029,145,660,815,141,
928,261,413,030,826,261,276,304,082,988,111,387,690,157,017,890,708,953,204,
834,414,753,833,861,666,625,296,354,181,857,554,074,312,269,488,596,219,660,
088,013,599,193,264,948,567,345,906,289,951,735,456,432,997,050,874,322,781,
153,505,072,949,877,487,756,274,130,114,479,844,114,943,571,000,895,897,048,
994,459,644,752,984,891,691,866,772,108,191,315,734,803,006,578,820,598,868,
595,634,880,567,381,379,906,918,362,096,158,153,792,353,748,513,942,319,294,
843,384,198,269,258,313,498,580,692,123,519,256,755,221,367,086,529,164,374,
977,983,154,282,985,510,844,687,629,509,962,094,989,727,835,153,111,616,328,
063,625,303,217,263,455,398,657,317,334,012,853,559,843,009,531,145,947,509,
644,593,797,716,500,990,152,701,470,314,781,087,962,595,602,772,320,917,834,
118,828,377,629,875,383,116,965,733,132,957,175,303,691,275,614,769,854,639,
162,559,675,494,184,859,473,866,287,515,666,193,647,087,769,596,381,676,032,
307,100,219,099,348,228,608,645,779,378,849,337,690,166,985,045,455,243,396,
842,582,366,355,476,550,310,076,316,096,561,796,735,128,762,617,662,470,764,
787,783,724,329,122,354,818,656,383,056,201,202,612,494,000,175,352,019,362,
193,255,968,891,455,056,077,440,252,433,600,849,491,000,164,196,615,805,045,
807,364,330,732,567,663,530,986,356,831,901,619,099,533,674,725,164,878,947,
477,654,595,007,809,978,882,635,855,704,238,726,694,701,369,509,307,766,439,
127,947,412,064,012,717,817,836,886,482,030,979,006,685,443,805,291,717,130,
887,566,746,550,213,198,843,616,185,168,282,296,399,950,945,082,616,678,969,
953,707,454,287,738,442,925,875,467,635,724,185,028,641,498,175,303,316,331,
326,029,716,879,512,156,689,682,525,836,572,905,302,982,239,885,714,766,203,
480,062,717,478,463,603,653,342,967,361,655,810,138,624,192,785,400,112,932,
451,997,140,503,760,705,426,845,429,008,828,313,053,475,959,517,577,753,698,
911,701,903,846,071,566,970,950,541,626,607,416,973,687,233,208,203,865,511,
738,917,594,886,822,760,904,223,809,473,212,845,132,576,089,640,903,686,049,
510,831,137,468,970,665,905,822,709,201,567,655,247,885,091,374,292,660,068,
761,366,835,651,325,799,519,969,311,578,872,417,396,625,795,533,341,367,529,
931,171,771,690,265,911,046,191,891,827,925,612,898,710,793,298,786,109,894,
043,614,528,710,053,348,090,219,606,122,510,463,766,281,637,440,386,591,722,
247,422,592,228,630,298,835,519,975,556,975,946,633,391,351,435,948,770,103,
892,486,129,341,001,253,023,466,862,301,183,636,799,204,329,674,480,965,135,
698,831,025,031,262,959,690,805,903,093,215,991,104,492,937,383,137,293,265,
346,837,042,313,912,219,900,507,348,224,242,850,644,724,982,565,974,444,795,
416,263,268,495,338,687,161,946,980,713,381,559,576,897,458,587,906,434,308,
073,154,164,255,654,996,717,161,516,400,975,261,062,382,463,800,497,030,576,
278,844,419,739,042,833,699,151,222,615,965,329,804,435,639,668,124,893,257,
911,174,325,408,557,694,797,255,631,305,117,119,814,694,738,784,180,385,859,
618,012,805,939,752,057,677,364,473,678,053,339,491,117,749,042,089,495,855,
780,558,114,815,384,822,819,221,555,327,634,366,303,887,312,526,974,392,145,
056,833,660,233,951,662,231,688,375,782,986,305,410,733,706,238,356,653,478,
611,214,530,547,187,267,385,353,847,852,079,747,288,950,171,911,867,254,446,
048,182,080,400,837,579,464,262,865,737,381,981,605,955,842,046,313,113,362,
257,085,538,838,332,156,598,536,288,421,518,649,647,753,368,393,448,384,568,
709,250,203,694,942,050,778,291,788,916,357,565,395,736,795,487,529,161,355,
059,102,263,376,916,578,916,655,608,059,904,613,013,383,985,737,135,618,102,
932,234,435,243,403,583,866,056,353,735,801,609,492,243,139,410,681,676,492,
492,073,150,651,148,226,002,161,257,845,913,029,534,909,458,616,104,214,656,
250,861,592,268,794,777,223,683,378,048,263,059,655,599,287,672,935,325,061,
003,491,886,933,816,531,372,572,743,390,877,774,610,545,650,995,151,229,705,
557,460,945,286,836,275,169,024,113,689,622,347,935,859,878,433,094,878,007,
978,271,653,602,442,711,362,932,910,951,171,064,423,987,598,890,765,281,814,
765,498,394,334,348,640,413,401,577,599,591,216,761,809,851,942,144,687,004,
200,638,694,742,764,860,419,811,061,356,582,848,301,562,686,687,181,022,047,
177,461,752,325,830,375,063,517,762,499,089,505,520,656,324,601,904,830,578,
319,907,042,876,247,121,444,222,838,806,835,016,677,739,155,917,304,582,256,
402,593,360,455,052,446,986,234,235,717,540,816,355,748,658,630,189,306,852,
453,065,481,838,254,500,130,284,772,499,434,868,052,436,295,041,837,445,714,
103,276,930,455,253,452,048,594,877,243,921,586,187,041,645,156,402,055,582,
277,529,373,157,122,527,718,323,927,044,450,943,215,867,987,101,656,543,181,
918,426,866,641,418,796,794,770,193,073,003,256,195,670,863,960,323,724,071,
525,663,212,895,661,910,671,134,117,143,141,991,077,249,712,919,021,424,163,
303,804,464,612,045,479,626,195,927,428,919,345,592,201,378,342,863,607,278,
304,906,609,497,384,810,579,084,275,347,864,188,478,160,984,981,506,325,489,
637,800,802,725,335,846,266,833,240,251,536,769,945,820,484,714,728,778,008,
446,696,269,834,218,348,022,554,117,409,024,123,205,637,614,714,297,660,099,
522,299,106,489,095,928,383,326,229,693,408,184,814,350,235,347,007,494,289,
669,023,837,583,250,226,730,805,821,760,264,166,905,970,881,115,464,633,811,
022,151,294,002,742,027,230,804,408,174,613,834,310,195,789,781,448,789,192,
396,219,240,652,189,847,078,390,867,122,069,710,035,859,414,829,685,008,044,
118,770,855,277,626,685,649,876,858,784,727,274,308,954,246,054,883,676,238,
627,128,796,224,195,789,694,813,980,515,636,666,989,855,840,713,305,846,912,
086,124,542,107,710,088,376,538,697,283,687,050,390,476,174,004,770,174,039,
895,942,629,418,382,998,583,222,084,807,041,805,559,653,595,111,440,308,169,
153,972,850,373,769,441,809,477,255,889,965,454,943,952,312,278,649,087,056,
662,922,507,036,925,108,120,658,129,125,534,813,649,581,418,674,674,499,984,
518,216,106,575,013,093,660,941,776,412,895,707,993,831,476,955,732,223,121,
324,593,349,383,005,687,228,827,417,860,218,619,340,206,532,716,816,627,612,
140,816,415,665,316,618,114,359,106,724,953,116,271,855,132,605,183,207,702,
093,200,281,157,078,689,553,522,426,137,118,575,095,597,446,296,339,062,771,
948,930,966,057,916,047,512,145,316,034,510,791,405,486,417,198,325,955,229,
840,122,958,740,049,075,664,681,277,498,975,032,875,250,737,240,316,682,711,
742,309,208,871,519,848,446,010,394,349,887,371,226,393,227,289,589,116,452,
591,172,839,340,109,582,559,683,171,075,318,546,013,254,376,876,378,506,834,
650,179,356,103,931,507,399,559,583,716,297,958,076,628,139,397,481,853,352,
575,117,446,681,007,788,508,210,926,687,516,965,604,288,944,045,205,747,896,
376,212,488,070,596,651,089,757,050,586,573,564,125,622,875,590,395,355,188,
331,496,659,837,786,785,891,123,472,855,774,488,653,877,704,362,304,618,898,
855,519,525,629,309,449,626,932,727,621,748,500,658,884,845,369,869,053,321,
252,594,971,532,881,808,682,454,370,885,415,715,804,130,603,517,135,293,368,
851,157,633,441,523,520,744,793,355,183,976,246,353,365,688,847,203,514,549,
408,974,313,092,859,111,659,164,901,566,159,055,972,372,063,222,045,330,835,
632,590,385,398,816,878,570,425,637,256,169,323,127,128,083,698,388,231,152,
536,473,276,614,112,248,005,795,024,308,463,283,190,893,693,952,460,862,870,
693,344,290,841,479,606,853,708,888,291,099,806,667,089,924,885,553,546,252,
468,066,455,679,713,410,534,526,826,819,643,886,532,764,459,819,998,666,491,
762,916,470,457,142,904,980,422,665,596,837,103,888,609,483,918,629,909,296,
858,367,309,931,067,362,012,182,469,418,588,407,619,227,544,517,009,513,122,
113,172,652,148,751,617,832,025,418,225,073,116,914,846,246,537,786,283,560,
666,003,095,651,199,143,206,044,370,850,235,557,426,087,596,522,652,571,079,
746,656,652,503,705,570,561,409,072,103,779,330,549,858,083,641,413,765,009,
853,831,907,248,227,707,016,853,312,882,843,525,797,537,202,662,540,928,978,
144,254,753,155,073,208,355,090,748,340,794,901,272,885,294,918,480,682,092,
989,717,424,122,139,294,901,553,007,132,255,814,052,864,629,562,860,083,823,
762,949,069,059,095,035,546,099,735,329,124,514,661,841,631,332,259,545,899,
016,048,829,664,117,778,657,254,768,043,488,364,274,835,726,097,617,761,173,
227,288,876,092,327,454,392,412,875,403,669,141,204,015,933,558,103,223,863,
492,271,487,515,295,149,431,597,310,268,793,458,136,279,787,468,636,242,534,
805,737,643,315,624,032,065,547,783,381,418,967,002,299,715,799,030,150,359,
043,598,471,648,197,861,478,780,065,991,620,943,326,028,834,045,329,785,827,
864,002,312,128,917,742,268,586,763,971,273,636,453,623,111,260,002,538,234,
364,553,194,795,988,849,165,039,296,861,053,299,756,851,330,796,735,461,114,
540,280,072,026,651,359,188,229,420,238,877,604,114,694,264,430,821,347,759,
928,550,408,129,260,435,372,271,517,271,311,011,553,909,183,886,899,736,268,
930,753,725,956,895,683,220,586,586,400,334,453,889,161,877,576,802,925,128,
688,378,071,950,334,700,024,564,700,653,448,518,887,703,305,768,570,070,921,
184,245,065,343,279,983,455,010,568,736,803,100,571,076,115,749,723,831,812,
491,085,838,257,178,250,331,133,540,274,353,018,989,232,377,761,569,141,535,
291,431,345,207,713,410,918,352,560,706,204,296,649,296,368,571,762,643,041,
235,714,172,663,481,645,232,131,717,931,180,635,911,862,169,279,081,065,666,
052,805,234,372,038,847,775,558,120,322,457,194,360,845,621,504,763,671,344,
727,459,821,546,032,845,552,942,460,291,780,053,334,317,650,785,654,600,054,
520,622,262,609,189,115,817,487,130,292,269,706,270,805,313,326,069,369,954,
038,928,193,605,042,905,753,209,171,290,446,318,511,060,800,988,069,453,342,
808,340,781,347,076,461,772,560,593,989,228,209,120,282,937,292,240,003,782,
409,960,921,584,411,639,765,348,052,200,054,853,288,032,106,461,035,716,615,
902,167,858,709,276,947,123,195,070,466,008,628,647,865,760,206,392,572,091,
068,504,077,620,865,153,825,094,293,403,591,038,761,840,143,125,497,683,897,
479,703,828,128,360,080,297,179,905,174,049,806,399,795,291,889,629,324,620,
698,637,901,168,585,894,944,766,000,520,404,601,234,708,726,557,374,381,903,
284,231,935,478,515,980,563,721,735,337,024,575,525,061,474,739,440,412,575,
557,652,773,461,667,706,214,156,345,679,660,194,491,786,083,014,508,835,723,
647,404,665,853,704,660,712,208,097,485,185,965,435,566,873,161,479,710,245,
078,288,031,264,779,858,494,170,608,678,327,276,549,473,356,306,275,033,034,
273,589,225,932,562,274,886,280,924,434,119,253,924,018,705,628,892,491,828,
898,928,172,863,608,469,143,787,572,272,519,834,535,701,399,016,899,848,479,
891,474,230,797,537,837,786,697,108,006,692,383,255,669,228,814,986,588,031,
689,945,438,627,809,489,149,396,647,025,404,990,765,704,110,659,426,149,631,
167,402,183,414,871,405,772,792,492,875,957,087,947,059,700,687,257,641,102,
179,960,707,090,939,427,019,851,703,759,181,222,224,491,684,925,892,732,761,
363,619,874,681,560,982,763,914,544,756,450,509,327,434,139,099,985,913,630,
182,955,575,824,024,886,051,142,568,461,140,195,245,436,615,084,995,528,788,
746,107,077,848,352,361,827,125,300,320,178,574,406,991,884,713,849,230,595,
371,483,855,704,311,557,907,414,540,657,745,158,013,968,101,998,688,082,736,
859,276,166,659,944,111,282,507,415,984,701,861,907,369,496,272,013,110,310,
091,956,217,819,911,215,615,706,472,188,832,855,882,035,004,989,413,586,474,
745,807,149,897,339,856,780,169,236,005,311,781,231,784,656,464,490,218,085,
059,290,806,840,811,356,965,628,758,355,394,112,834,967,592,775,768,807,648,
267,835,579,623,870,312,323,035,233,313,564,928,341,295,822,772,131,594,074,
781,886,493,232,402,933,290,554,934,126,207,117,091,582,047,819,403,310,200,
685,163,162,069,525,654,552,177,442,431,996,096,533,453,507,117,386,652,804,
525,820,579,810,360,701,563,563,777,456,094,559,494,512,967,885,667,038,319,
715,950,527,263,262,969,249,314,004,668,142,915,532,700,641,430,732,941,682,
318,792,201,705,025,375,918,380,945,779,421,022,499,084,251,459,692,344,888,
434,673,597,404,330,964,632,113,772,705,782,981,284,040,943,283,941,969,115,
389,661,286,145,826,762,811,156,575,398,219,160,012,950,184,698,740,016,498,
718,262,736,611,616,406,596,971,096,825,013,581,107,080,358,981,820,157,474,
382,889,397,442,048,270,406,473,272,263,902,352,592,866,103,307,700,228,630,
832,091,274,336,503,640,138,085,508,175,949,219,539,051,366,707,855,401,739,
478,379,774,536,149,583,984,222,487,385,361,918,634,387,108,413,587,306,976,
181,390,787,024,141,821,488,651,506,196,389,562,720,218,742,295,900,050,952,
238,405,242,861,231,973,967,251,469,483,408,409,025,156,952,739,789,915,226,
906,399,940,295,865,416,790,346,974,302,835,986,574,542,626,634,122,040,655,
006,360,329,118,623,109,328,472,853,948,135,403,398,786,320,850,849,755,219,
240,616,068,989,420,320,673,762,447,526,311,685,220,556,330,167,478,924,986,
002,965,541,127,761,795,373,541,336,784,747,948,916,686,317,719,786,474,644,
142,753,597,211,757,565,110,793,474,803,631,147,334,727,158,554,410,906,212,
488,111,491,217,133,148,650,688,074,242,511,587,990,647,999,151,826,159,700,
698,225,033,168,705,231,218,997,261,562,037,801,012,283,840,410,967,348,507,
064,890,400,150,920,945,789,741,658,196,941,472,732,596,237,246,864,498,549,
853,824,784,497,969,202,816,887,771,198,277,430,247,801,813,640,201,007,699,
983,611,042,333,489,313,555,592,758,532,615,732,179,413,014,048,826,188,124,
594,745,949,255,086,555,318,504,094,213,730,492,418,871,953,003,821,478,032,
729,622,137,273,688,589,682,157,806,497,581,273,765,726,741,173,682,742,575,
429,389,524,877,221,661,878,258,663,397,483,725,874,588,154,041,818,276,605,
636,503,246,928,635,355,850,042,045,634,904,807,508,162,110,685,447,377,316,
904,200,848,966,317,080,474,181,913,439,167,908,182,406,791,058,663,516,283,
823,069,213,846,394,042,644,466,369,561,812,208,549,372,325,094,062,728,575,
754,616,076,577,990,942,289,756,177,792,024,083,982,225,802,453,555,969,917,
302,985,633,370,819,468,041,429,818,253,418,512,355,954,902,280,653,712,622,
333,784,268,342,938,475,264,722,301,833,926,030,249,690,300,904,812,230,485,
834,808,616,826,379,524,690,950,454,970,523,662,339,453,148,460,383,771,296,
512,574,540,476,664,987,947,113,428,528,873,060,145,839,336,425,018,810,584,
608,215,014,039,373,478,159,957,333,218,855,240,677,812,644,864,438,455,686,
871,320,237,650,216,072,903,926,605,763,556,494,295,270,494,998,522,378,054,
142,454,794,143,531,070,905,256,781,302,381,671,485,305,028,066,717,186,205,
575,804,809,448,661,651,964,872,728,557,909,440,952,590,753,571,990,347,589,
276,062,924,089,027,524,162,567,807,675,833,641,962,322,975,261,637,120,787,
548,871,446,036,585,370,171,365,177,568,126,869,368,398,268,123,936,271,073,
589,453,955,052,635,993,018,118,683,238,236,074,573,220,970,237,517,003,351,
945,771,871,697,890,679,763,117,566,890,811,401,021,560,687,212,416,731,120,
597,987,732,046,329,621,075,614,152,993,950,760,226,383,370,605,844,451,620,
118,682,400,892,551,768,789,459,864,412,776,293,501,891,991,251,558,022,568,
707,308,767,495,095,182,887,261,522,598,234,003,232,726,481,021,393,261,538,
718,985,205,528,536,845,369,137,278,810,089,846,467,734,007,111,878,297,093,
833,632,619,576,559,364,443,413,093,495,656,335,906,028,085,545,877,897,610,
296,401,837,790,574,425,988,951,382,566,073,865,822,408,276,202,763,352,640,
739,124,562,617,988,540,592,810,011,067,524,860,707,912,791,713,530,838,560,
375,778,841,520,949,269,075,626,340,389,095,554,105,398,804,783,608,720,648,
393,399,631,761,864,888,117,293,870,544,947,738,543,379,934,693,297,111,069,
249,971,863,583,118,420,401,051,421,482,523,547,725,152,868,478,253,667,750,
309,852,900,999,710,163,766,034,590,271,728,005,691,360,020,209,949,840,084,
586,053,300,906,825,291,014,067,323,569,012,786,032,267,781,677,554,782,483,
110,194,294,954,866,880,838,727,296,217,275,612,515,131,154,659,466,431,624,
585,776,979,419,688,708,119,269,245,847,929,347,783,294,546,203,836,619,680,
215,418,238,034,855,078,067,583,611,759,768,438,532,901,896,570,326,202,550,
239,288,831,341,721,460,184,828,164,870,157,203,794,973,318,885,783,420,142,
788,771,392,857,990,308,368,673,762,552,214,092,971,470,148,968,509,811,852,
447,571,048,277,214,553,666,029,323,647,158,166,999,905,793,504,123,052,482,
118,945,858,090,864,696,653,654,322,473,542,730,584,519,942,971,033,141,838,
552,947,417,529,005,897,167,725,422,520,651,868,439,767,312,940,019,665,538,
228,453,661,698,171,858,070,997,759,294,131,446,810,274,989,335,540,261,568,
415,420,589,744,682,594,832,268,836,113,728,764,790,185,825,294,085,602,030,
685,258,972,280,435,874,547,928,916,096,787,231,957,419,244,301,075,700,731,
533,586,605,655,938,451,409,093,093,420,785,638,077,877,616,934,757,650,887,
644,959,996,199,489,684,202,568,358,228,985,512,936,259,746,288,142,832,530,
195,563,146,965,967,051,407,703,482,494,741,932,604,882,589,068,959,184,256,
215,210,197,282,993,289,156,348,818,133,278,626,085,688,724,592,370,316,396,
620,430,063,316,113,503,479,567,086,959,360,044,066,150,343,023,246,164,352,
795,431,056,049,963,305,341,838,228,399,484,535,815,721,682,148,713,632,633,
093,636,967,550,541,336,921,878,482,148,076,601,900,501,140,443,425,212,851,
263,397,533,406,827,332,764,329,115,368,167,590,871,743,202,965,797,090,831,
807,157,361,764,844,310,020,481,076,778,889,332,823,795,963,702,945,923,283,
253,648,889,213,308,251,313,512,639,423,951,680,549,924,661,190,590,896,627,
022,095,235,623,457,241,111,350,253,946,033,069,893,954,419,304,940,580,114,
488,359,144,708,893,399,914,637,516,344,116,385,709,489,303,360,608,356,586,
323,793,214,183,368,297,322,463,416,342,635,184,503,358,967,254,564,241,870,
916,475,191,842,289,851,950,819,627,955,506,551,557,765,483,620,421,448,343,
114,463,244,329,188,570,847,861,624,808,656,230,017,733,816,486,225,791,003,
062,234,623,616,936,849,020,665,109,546,344,550,025,152,058,631,871,100,612,
259,454,467,221,220,784,110,078,787,402,277,482,312,562,043,329,025,205,553,
590,512,934,191,865,571,130,315,665,039,289,685,116,735,230,353,090,094,915,
863,905,692,385,038,411,234,825,431,169,367,005,223,375,584,540,182,227,798,
826,601,757,255,693,111,850,322,843,105,939,800,352,572,176,590,606,191,438,
251,565,687,237,166,409,808,066,932,591,571,865,850,537,148,552,453,853,476,
724,347,561,512,805,240,225,692,472,172,492,847,960,622,090,278,744,784,464,
831,164,532,678,508,714,533,262,975,662,072,645,847,148,074,073,359,061,412,
289,092,414,952,257,055,111,602,820,435,395,232,884,450,577,639,274,653,514,
266,831,144,727,297,235,217,805,048,266,438,600,135,838,556,125,938,263,463,
993,355,075,879,627,439,128,432,683,632,777,361,457,545,498,423,687,912,934,
555,094,029,738,732,290,007,913,958,733,610,046,542,859,955,591,011,991,889,
633,109,363,495,475,254,550,946,267,015,226,562,831,431,745,829,723,731,655,
260,951,653,030,450,867,086,729,018,423,853,958,416,345,641,863,481,774,773,
148,748,930,602,953,390,849,747,651,664,003,447,484,441,151,116,833,114,576,
207,479,904,775,590,570,361,603,734,592,936,775,185,435,741,947,364,773,488,
596,710,900,198,327,515,286,163,044,508,743,408,201,934,577,709,995,754,982,
419,900,426,422,599,512,769,588,492,114,514,724,153,599,922,962,667,836,100,
333,163,127,974,368,510,726,122,212,936,645,593,814,938,787,607,143,323,327,
358,305,098,373,795,767,076,227,987,130,195,691,571,494,360,526,109,728,466,
033,305,626,311,673,638,150,854,836,750,941,968,465,665,703,346,738,242,395,
869,483,683,025,089,320,793,525,547,425,874,455,343,838,584,518,270,914,289,
838,990,141,739,802,194,709,624,442,707,406,571,252,572,162,825,856,689,229,
661,773,340,199,652,313,763,149,022,464,072,535,988,708,066,891,639,617,147,
352,933,088,221,286,161,400,319,896,389,860,882,984,375,249,788,419,443,175,
686,195,723,617,972,627,691,560,852,555,723,259,011,528,401,508,552,184,243,
826,397,132,355,623,307,650,697,563,584,904,444,839,363,717,532,798,929,339,
023,195,694,397,260,589,536,946,606,549,678,945,882,341,331,862,721,232,498,
004,592,151,848,480,430,456,544,359,634,532,623,651,248,219,258,659,897,426,
796,713,420,729,276,010,262,753,162,070,339,614,354,888,930,599,654,169,620,
189,598,126,696,705,363,326,743,422,680,646,104,834,642,150,775,099,288,652,
425,483,899,748,866,327,657,237,145,205,333,493,185,833,265,527,812,752,371,
344,388,695,437,341,089,017,880,150,766,154,274,824,354,257,421,420,028,622,
873,063,391,555,343,095,907,781,551,146,864,380,965,562,493,205,871,860,901,
597,141,613,003,524,576,847,190,638,761,256,262,531,158,941,878,032,962,936,
994,333,732,660,113,719,804,928,870,295,697,973,362,088,825,417,656,093,046,
701,615,788,857,519,625,194,172,444,770,566,542,622,950,051,542,758,533,061,
123,373,199,509,712,715,182,789,731,409,119,733,368,230,112,357,207,968,307,
223,922,480,883,409,393,688,497,950,388,003,687,161,446,409,729,825,572,254,
794,642,936,831,227,040,753,568,709,394,385,668,563,068,432,156,091,566,702,
581,912,217,429,681,156,139,598,911,199,104,207,955,284,010,564,184,676,418,
531,935,703,143,461,740,387,625,908,305,230,846,425,457,172,961,020,094,694,
179,997,871,535,192,525,546,031,192,235,539,978,048,026,633,410,818,557,673,
633,041,636,300,789,628,306,946,034,117,090,867,929,145,657,353,894,256,816,
331,305,718,267,696,252,565,919,495,403,603,844,769,112,200,530,969,702,838,
582,069,512,484,619,330,590,626,836,859,402,539,677,670,781,692,502,243,813,
273,027,832,446,832,237,832,132,678,936,809,640,457,945,537,081,599,217,176,
364,743,746,719,866,565,883,876,515,546,007,734,093,519,279,825,954,439,795,
654,565,228,299,502,035,186,552,144,479,768,207,033,936,256,739,297,396,082,
900,563,455,888,686,359,331,900,660,506,748,857,768,088,446,111,797,443,228,
447,823,229,887,066,281,488,505,210,487,804,883,337,978,727,127,985,872,819,
663,580,842,281,411,967,334,801,907,728,688,703,306,627,862,027,821,863,552,
959,426,460,130,286,678,755,145,867,328,663,364,569,675,785,469,268,174,441,
467,484,591,534,690,874,161,238,024,223,469,408,214,928,779,413,615,472,359,
237,623,942,454,338,959,555,922,231,833,904,224,743,964,437,985,504,842,932,
064,967,554,239,968,008,736,693,294,742,902,208,668,086,959,728,168,160,325,
939,886,974,124,504,396,189,457,894,242,819,468,025,450,143,220,959,246,807,
222,409,640,518,407,812,465,731,924,392,308,834,470,992,844,471,450,467,998,
076,161,569,689,515,767,795,945,499,300,513,129,349,558,233,511,937,086,159,
255,737,664,425,669,271,170,004,946,921,353,233,997,829,324,635,725,073,106,
277,161,481,145,478,935,418,200,371,188,486,003,113,684,717,781,605,577,328,
429,332,540,037,035,524,813,214,715,938,971,089,753,002,155,383,898,463,856,
817,918,183,512,870,450,534,378,787,329,052,301,373,069,442,447,381,540,636,
735,076,203,136,149,490,138,941,968,685,601,454,671,597,467,424,927,921,671,
940,444,617,264,156,568,949,279,994,383,436,495,602,200,227,053,865,960,151,
101,333,844,176,486,237,553,910,824,136,192,182,508,289,690,488,861,422,831,
952,358,085,392,800,269,109,803,892,206,344,709,878,284,302,213,930,745,981,
885,253,104,017,335,686,508,510,788,289,690,543,558,760,480,496,768,687,670,
070,256,036,756,352,198,081,495,605,222,999,982,115,858,069,374,561,819,094,
003,192,644,943,431,869,106,513,155,187,193,571,787,584,124,745,062,776,603,
620,635,208,265,269,979,805,931,196,258,618,241,887,268,569,982,620,969,621,
055,623,658,160,838,060,427,143,516,291,504,606,064,879,001,285,046,580,584,
370,424,355,677,935,686,843,570,515,823,971,203,458,733,886,487,210,741,711,
387,380,902,835,171,717,667,880,018,056,697,971,253,205,298,122,648,392,964,
131,112,294,526,682,989,073,494,513,726,783,790,955,473,517,179,275,276,006,
746,017,429,158,307,155,210,356,868,799,776,548,231,437,189,304,488,435,808,
606,241,941,872,747,403,614,619,682,641,454,193,988,052,674,839,121,513,166,
329,470,043,133,795,031,717,099,277,742,272,510,919,387,035,441,891,283,372,
680,238,296,391,136,760,304,822,326,946,422,045,444,378,154,214,835,811,264,
190,507,757,667,961,524,985,074,634,941,756,648,138,805,795,325,101,897,564,
495,088,398,491,856,417,805,940,208,059,795,895,489,962,274,683,275,083,973,
059,011,569,655,778,340,549,977,696,881,691,344,605,995,903,371,269,353,822,
650,143,019,658,929,837,175,695,501,520,178,199,085,512,662,196,626,400,114,
710,431,887,197,217,954,176,095,876,159,835,237,914,020,866,637,694,280,616,
385,612,440,511,236,390,773,797,757,454,101,845,466,853,165,617,607,564,694,
933,042,534,878,254,367,710,188,905,409,728,871,229,427,083,913,715,496,297,
054,864,133,077,221,120,697,747,176,004,171,071,325,252,000,269,548,941,179,
108,021,915,007,519,431,610,838,093,034,652,518,397,512,193,842,616,936,539,
247,224,805,068,720,822,264,352,321,959,222,815,374,354,774,485,443,817,375,
582,111,809,434,821,700,336,310,013,679,680,974,490,743,106,328,741,052,912,
582,330,724,428,217,119,365,483,375,569,584,371,314,693,401,694,092,757,764,
899,541,233,164,307,780,236,585,592,381,396,708,013,252,624,394,100,385,129,
439,026,671,528,972,652,527,808,935,302,808,127,227,188,921,888,032,647,764,
832,079,863,477,392,580,731,028,269,010,365,642,706,525,772,047,275,490,733,
677,203,365,431,724,923,574,056,563,642,831,493,613,258,696,747,811,568,850,
138,126,945,038,872,833,920,439,847,785,221,622,475,566,284,581,744,154,063,
549,590,915,799,173,238,756,077,563,778,637,487,685,302,353,838,697,883,486,
975,586,279,189,904,203,886,427,665,239,434,063,591,214,720,914,087,037,533,
275,388,934,795,872,631,844,512,894,666,111,001,769,953,289,519,760,069,023,
239,718,084,912,244,543,516,960,867,723,029,543,833,257,315,947,563,507,528,
403,993,198,010,788,874,620,490,068,004,596,701,837,495,989,477,715,126,921,
806,467,508,665,487,096,838,341,433,482,019,827,517,291,242,154,382,907,155,
939,057,842,945,824,018,218,349,454,165,770,302,207,761,836,335,828,586,532,
313,357,842,011,360,923,440,642,784,836,215,315,043,221,400,995,204,978,292,
461,556,195,179,562,960,903,914,438,947,629,112,106,426,474,034,874,792,445,
941,555,848,947,615,000,862,975,334,219,664,251,843,783,700,472,497,001,372,
934,479,790,995,980,359,581,250,426,518,115,073,239,477,082,820,603,766,709,
607,682,987,010,119,637,584,283,532,036,513,791,042,410,514,711,533,296,013,
370,386,998,178,878,045,183,404,200,142,308,142,236,401,174,390,079,621,511,
377,007,839,728,699,586,780,063,279,169,304,524,345,630,973,034,498,604,541,
135,800,385,917,572,453,337,913,811,311,028,610,309,468,135,209,958,421,110,
491,386,496,574,174,168,011,414,242,210,990,112,040,245,870,604,364,464,115,
342,229,367,378,855,874,559,603,052,783,082,851,350,215,652,808,621,300,144,
496,299,250,649,402,796,629,916,394,054,036,697,547,941,751,540,977,124,498,
843,577,067,948,671,832,589,748,869,275,975,615,148,073,676,159,227,606,055,
518,931,066,004,377,773,896,311,016,399,075,254,396,783,628,586,628,952,477,
662,351,887,592,084,471,878,407,029,404,974,324,259,728,259,208,956,030,667,
812,951,288,348,683,925,901,673,359,810,102,136,243,243,838,101,841,286,058,
386,728,991,277,980,769,313,793,875,143,096,548,626,059,512,124,543,753,695,
846,749,680,695,663,469,533,463,876,653,926,554,324,352,257,501,203,404,003,
586,005,690,478,770,861,285,946,335,177,789,801,525,702,639,587,950,173,987,
288,534,341,632,905,260,967,059,866,797,479,466,997,454,401,297,133,647,660,
342,409,888,382,572,598,775,512,733,989,084,600,441,229,408,693,014,515,071,
661,602,893,062,560,303,348,640,258,890,423,906,859,347,938,407,940,236,152,
756,107,949,075,093,825,241,468,191,917,775,439,149,783,593,670,185,272,527,
882,067,261,254,872,747,715,872,081,593,111,424,353,787,321,028,938,207,530,
086,469,926,288,806,379,124,563,294,493,087,607,478,252,623,399,526,664,712,
477,569,073,041,276,936,997,651,305,902,013,849,805,730,708,843,777,443,512,
153,176,239,664,453,883,777,543,848,398,497,072,355,619,701,541,002,146,619,
123,888,116,353,941,175,585,415,857,257,033,888,111,818,986,291,747,577,526,
507,798,260,936,491,676,967,567,130,440,099,580,632,062,641,849,122,130,375,
223,450,674,296,309,031,571,806,750,788,882,031,595,195,247,481,270,074,187,
010,060,411,701,465,651,933,794,896,985,724,084,373,642,756,500,944,460,709,
920,948,934,803,880,824,275,642,961,840,151,120,744,013,054,616,485,858,253,
559,166,919,371,397,983,525,300,347,897,654,990,210,535,672,223,660,517,439,
036,740,319,112,053,531,020,422,025,287,240,466,492,994,075,642,722,100,637,
692,733,610,266,239,239,629,934,798,993,067,058,501,332,298,916,318,109,891,
235,139,016,163,060,487,368,195,322,589,872,434,850,627,074,897,626,588,571,
142,331,289,226,527,712,954,877,160,679,217,129,987,665,642,968,358,897,109,
709,636,863,342,809,913,388,241,828,385,359,734,889,784,584,765,959,607,615,
558,415,729,902,057,339,290,732,477,478,085,380,482,736,381,449,663,034,131,
734,266,374,962,502,970,577,886,775,706,233,494,413,525,082,313,881,783,319,
825,884,345,026,852,105,318,074,605,240,354,821,578,111,523,896,659,233,831,
517,314,574,244,519,943,485,856,762,411,709,258,495,201,080,482,154,556,854,
727,659,309,602,545,223,344,742,003,744,579,772,173,796,871,665,035,959,623,
016,103,484,085,712,955,815,603,636,305,519,911,178,873,804,108,256,049,624,
614,256,803,202,378,790,458,861,091,408,622,347,661,775,097,397,035,830,243,
490,355,921,971,650,458,957,940,048,581,354,644,328,825,603,856,855,187,420,
974,929,557,061,513,645,097,100,836,709,989,695,026,748,811,546,618,536,901,
526,181,742,279,236,458,872,781,900,879,397,353,180,286,086,438,670,325,679,
063,502,917,783,598,532,812,587,313,030,032,884,908,880,930,132,528,045,643,
306,442,452,930,226,364,271,607,318,210,304,207,988,108,914,593,660,654,169,
817,397,586,039,452,531,777,959,033,000,380,301,310,885,462,235,379,305,970,
850,423,960,586,369,305,434,835,144,351,932,973,528,030,321,571,499,015,498,
366,449,163,274,892,186,715,887,688,033,917,065,826,606,736,163,080,709,900,
974,531,226,775,504,174,498,731,537,929,770,917,375,919,551,805,292,379,065,
809,153,798,124,481,639,808,012,732,720,848,110,778,951,178,201,946,683,781,
685,908,450,314,689,990,894,638,379,228,665,299,986,195,749,595,874,737,253,
374,768,909,408,548,810,110,735,017,237,219,436,492,092,676,698,427,365,346,
868,018,495,886,077,505,903,163,411,305,990,998,993,633,125,718,755,830,191,
369,510,619,376,587,782,552,951,565,508,920,678,264,645,510,130,904,274,004,
415,685,687,927,712,783,525,038,029,456,994,693,306,284,504,742,619,818,628,
409,302,860,792,567,656,910,007,725,396,608,519,461,891,875,382,698,931,888,
891,582,572,119,450,328,805,078,420,146,456,140,956,055,766,610,253,725,640,
029,824,663,164,456,437,928,434,775,479,673,737,184,765,778,648,165,740,365,
517,425,768,050,695,261,623,034,239,230,480,106,589,141,549,842,082,979,273,
039,816,620,858,957,119,734,104,950,549,374,623,471,225,538,078,899,884,520,
566,558,772,582,617,889,408,668,894,423,525,915,908,024,154,384,282,192,140,
029,939,004,209,593,063,061,783,778,006,299,636,813,587,439,269,247,762,453,
731,274,345,013,789,736,285,037,712,026,883,283,414,335,612,736,310,991,740,
786,086,524,197,142,860,777,773,599,965,103,404,071,791,275,824,117,186,195,
622,806,675,955,890,911,508,476,359,936,885,678,837,489,911,192,871,751,213,
332,287,220,380,151,661,590,202,576,411,869,563,994,446,735,058,860,334,080,
688,010,483,324,555,023,454,999,909,080,105,909,104,705,380,146,320,499,367,
402,425,221,513,248,778,633,315,237,529,206,782,507,349,561,982,723,856,295,
295,358,400,942,078,206,211,947,085,229,950,082,994,666,376,532,863,783,640,
185,704,808,586,640,673,700,036,167,255,100,744,109,729,829,241,389,639,341,
534,113,961,985,191,502,364,242,387,988,067,018,829,513,397,506,782,667,028,
495,178,860,561,113,128,970,403,781,708,436,206,964,854,947,888,187,225,368,
243,149,043,340,478,791,600,073,458,677,003,400,255,272,446,659,714,950,192,
730,126,914,972,184,994,599,520,935,385,353,699,445,584,632,049,408,871,954,
262,304,808,735,269,069,213,336,937,402,897,103,089,259,558,231,153,372,146,
819,577,621,993,052,721,254,914,646,181,919,301,309,629,148,903,645,386,918,
880,121,150,825,287,691,204,023,877,560,839,328,148,370,919,403,681,573,360,
499,340,835,421,648,837,511,530,276,250,839,873,137,282,229,893,088,768,343,
418,319,408,220,974,188,644,146,205,793,045,697,780,200,597,060,549,765,288,
744,805,721,956,866,764,416,193,403,341,125,485,833,277,616,523,904,011,294,
118,061,796,323,969,583,105,677,835,677,304,403,372,131,314,998,283,877,668,
248,355,109,117,614,300,718,940,832,016,172,403,341,095,889,437,599,738,838,
259,463,733,904,969,434,740,827,187,164,614,324,066,858,061,905,536,139,803,
147,754,793,928,212,193,505,423,604,839,897,050,829,543,010,474,587,519,483,
271,051,585,597,696,271,763,789,238,387,555,626,467,649,024,406,482,052,269,
447,218,508,873,765,683,966,895,671,282,417,137,659,297,421,304,588,983,398,
227,000,939,394,143,410,470,427,694,953,383,602,607,860,612,112,449,834,894,
280,031,697,616,048,077,150,323,462,004,062,514,829,185,721,753,516,465,697,
188,632,843,779,007,615,190,801,304,140,341,807,018,516,255,191,176,177,795,
473,448,401,436,261,737,143,626,459,572,090,902,206,484,250,495,208,279,833,
449,292,163,056,965,997,545,638,704,519,381,230,949,410,400,758,681,409,195,
632,293,174,297,638,974,632,879,853,832,217,363,741,945,916,391,458,359,953,
922,447,136,582,708,151,643,862,150,671,409,379,295,216,559,758,030,587,829,
439,302,229,414,155,115,233,579,865,940,109,055,057,540,997,936,791,275,150,
140,791,545,245,368,131,510,682,855,345,045,915,202,388,018,479,970,264,849,
514,598,911,178,754,433,623,194,531,296,177,173,833,041,473,402,720,868,663,
695,216,551,689,553,586,429,334,344,415,245,998,690,477,503,892,075,853,922,
317,796,303,357,230,337,055,425,035,469,866,462,637,039,808,421,219,458,429,
089,422,888,459,496,823,585,007,892,699,869,047,124,337,451,165,339,774,539,
277,237,408,229,429,473,751,099,478,498,952,314,965,667,067,313,149,820,344,
244,991,882,397,106,338,087,127,681,469,817,170,517,418,333,984,012,891,413,
741,006,469,704,088,527,841,297,625,279,326,324,272,092,834,652,848,674,048,
326,052,664,587,962,448,350,711,624,093,259,459,557,436,691,703,648,879,707,
365,110,977,669,313,272,622,701,324,762,006,294,832,837,707,957,995,776,325,
424,973,656,209,343,723,374,768,956,530,734,932,502,460,679,607,615,342,023,
561,223,171,228,168,701,896,275,209,706,551,380,262,237,105,711,348,793,993,
790,922,734,953,549,360,180,935,895,651,338,357,457,683,762,722,344,025,701,
205,665,531,227,605,432,983,626,508,283,085,586,074,435,473,555,456,676,631,
400,472,779,181,557,504,817,458,305,031,689,085,456,217,441,657,744,745,638,
048,522,181,795,849,814,091,396,956,411,875,035,460,922,348,609,886,262,628,
328,757,484,318,598,373,712,661,083,647,348,066,102,104,815,668,608,943,459,
537,894,563,139,073,028,195,937,307,699,178,458,221,259,256,649,735,322,419,
746,248,411,360,814,936,812,020,699,537,455,287,062,239,123,106,696,921,373,
515,936,131,097,461,631,772,224,074,753,860,911,866,548,408,627,804,411,701,
138,343,314,157,202,969,019,051,401,232,868,569,474,198,720,817,231,064,806,
953,974,834,388,352,498,321,136,630,439,020,772,106,236,830,866,115,835,902,
289,829,548,632,377,572,841,325,634,532,275,009,719,188,566,002,157,824,439,
793,975,499,350,817,881,186,696,646,584,103,644,313,808,696,912,123,472,036,
793,408,380,301,070,315,443,426,187,705,558,482,138,276,621,695,730,744,466,
947,203,765,172,319,450,351,247,470,803,644,240,215,163,410,992,431,283,169,
694,311,441,184,673,561,692,599,084,196,213,804,083,401,452,608,975,703,992,
901,999,625,087,376,468,050,070,748,619,304,207,402,854,038,277,010,654,663,
028,278,037,396,666,140,510,794,412,767,099,027,819,283,245,987,299,939,326,
452,503,609,312,610,324,816,416,373,615,921,504,969,074,421,178,484,698,087,
565,541,941,473,890,100,074,938,145,972,916,849,561,290,971,958,154,313,660,
969,568,726,477,250,776,782,810,910,034,983,075,452,824,793,814,274,336,561,
300,544,396,222,846,612,282,883,988,286,807,710,151,354,967,578,826,044,916,
255,808,469,433,395,503,367,840,395,444,431,195,905,335,297,940,493,123,190,
686,828,256,189,048,647,966,522,092,585,293,508,188,865,475,049,679,277,967,
107,153,210,202,395,507,845,652,518,595,792,718,055,694,617,397,709,737,232,
037,706,192,971,171,760,341,162,920,214,688,935,529,506,718,028,833,106,171,
123,618,174,444,995,426,605,455,010,238,634,846,676,844,281,848,956,184,036,
124,707,179,669,281,561,597,603,824,262,309,350,723,355,069,263,697,183,644,
707,815,708,668,397,980,332,689,548,576,862,194,929,409,520,229,104,776,783,
935,674,735,942,199,944,293,321,274,253,018,903,657,122,640,027,713,292,287,
422,415,456,331,899,649,999,814,276,959,635,246,411,801,480,306,230,404,335,
065,952,351,566,273,706,264,499,204,826,468,254,321,018,636,823,261,175,363,
302,425,073,276,652,313,198,854,997,027,193,470,748,817,589,744,400,929,925,
972,354,490,029,189,620,983,333,722,036,944,450,475,489,228,918,121,937,399,
544,710,603,235,093,374,010,038,804,976,438,674,245,309,400,118,506,017,367,
100,502,994,085,809,690,125,237,638,793,802,339,688,392,161,928,554,155,770,
730,283,534,209,622,118,157,127,660,136,906,517,548,790,443,416,761,757,948,
342,197,792,199,949,630,338,412,078,700,099,385,070,401,950,795,417,101,549,
588,668,942,954,301,950,323,684,403,174,072,871,061,688,036,864,902,312,610,
720,099,692,652,447,939,974,665,840,586,060,784,446,188,558,713,274,048,325,
980,368,190,376,307,222,672,317,725,343,941,673,068,303,766,980,058,784,092,
116,907,096,105,442,291,432,488,292,900,544,352,279,599,827,865,166,906,928,
207,053,369,000,812,192,582,775,983,521,308,762,711,411,914,521,550,068,284,
606,635,582,651,579,677,671,267,077,135,919,063,645,378,814,838,547,402,359,
313,060,109,971,391,763,809,346,267,154,679,943,107,349,009,306,921,285,156,
706,019,439,452,919,565,953,939,951,376,117,298,261,820,912,072,837,506,632,
253,036,604,634,046,855,172,344,042,885,757,565,284,599,600,547,324,541,540,
177,390,172,672,633,802,280,694,959,822,999,389,089,569,113,153,532,149,225,
406,742,516,291,365,066,681,864,751,155,381,588,432,282,972,218,182,983,518,
602,534,423,842,724,262,806,984,306,089,136,853,151,288,689,015,948,779,546,
783,306,076,274,270,641,990,329,489,656,996,988,305,539,986,894,746,425,136,
033,270,363,286,697,442,407,075,116,704,765,442,859,774,398,897,976,230,931,
207,676,743,536,696,256,733,456,099,052,689,538,800,308,066,353,606,383,969,
480,965,601,144,684,443,078,471,680,085,292,051,013,178,724,777,544,030,477,
114,943,155,056,066,356,039,230,891,820,143,346,093,839,143,443,575,678,163,
213,159,126,141,440,292,727,863,591,752,167,094,815,761,917,273,013,730,675,
152,495,299,141,502,489,462,891,660,500,909,452,089,341,876,813,263,898,794,
490,860,383,362,078,564,882,300,966,557,558,037,809,013,186,410,662,229,579,
841,040,597,316,746,542,763,324,834,646,602,362,971,024,814,467,069,252,992,
301,636,103,279,022,172,149,404,496,024,301,145,967,864,227,711,020,804,494,
430,855,510,951,965,758,992,117,388,638,565,163,544,448,427,945,555,412,527,
462,342,643,593,143,846,581,706,448,167,794,728,080,605,594,104,586,075,371,
582,919,102,665,707,435,286,192,481,020,036,385,323,348,543,968,339,920,648,
269,568,252,760,605,512,149,765,389,649,542,905,486,526,076,203,512,268,857,
115,773,782,172,814,159,047,387,262,733,765,485,862,582,157,750,360,834,422,
697,666,135,802,374,746,879,667,095,774,003,370,954,127,113,672,818,863,362,
706,023,746,508,160,740,339,717,246,408,999,934,219,039,963,461,354,460,613,
975,680,634,050,945,840,193,896,289,572,719,461,029,989,456,886,267,004,442,
928,261,067,641,117,727,621,771,414,390,555,418,576,057,241,160,121,979,825,
570,772,682,963,711,192,153,324,527,667,987,685,715,397,003,246,591,571,595,
374,689,432,296,470,590,149,413,474,559,768,174,610,822,218,345,708,020,449,
576,443,983,272,777,186,255,944,590,187,533,264,554,188,980,025,033,354,664,
249,419,294,938,785,933,405,618,796,345,120,987,896,907,670,675,944,094,780,
476,898,088,788,185,903,799,782,183,571,079,243,951,797,026,901,562,976,341,
118,534,335,284,302,218,860,951,345,844,212,621,488,091,340,790,345,034,832,
684,233,131,164,399,299,089,444,415,810,152,114,949,484,657,096,736,308,243,
369,747,543,685,159,694,009,899,181,908,782,116,683,816,630,840,663,597,166,
082,137,565,623,977,373,817,706,727,775,842,724,238,757,131,343,508,068,035,
518,328,264,701,520,076,321,482,734,873,550,035,226,295,865,899,112,889,708,
219,883,884,622,188,091,051,140,317,696,371,958,809,310,727,455,754,230,411,
285,476,102,323,224,398,518,266,040,001,453,052,693,569,960,468,717,249,193,
323,551,913,784,601,753,128,505,755,026,499,348,262,969,938,958,178,480,275,
915,173,315,263,613,194,207,152,838,939,350,474,426,639,990,760,845,716,413,
586,856,559,831,796,418,533,227,667,666,317,058,873,186,733,987,342,261,864,
009,779,304,303,616,717,564,936,096,044,695,550,880,279,836,355,396,567,021,
724,803,429,905,204,805,428,306,003,788,593,958,405,079,294,767,769,735,885,
728,256,295,839,365,156,557,114,376,169,366,809,822,428,170,759,087,066,942,
605,131,806,289,065,577,970,645,388,455,377,088,636,535,483,464,604,188,526,
303,844,146,363,439,616,020,750,744,567,335,617,096,275,910,389,567,326,351,
989,401,881,522,279,415,722,091,643,020,204,007,116,807,848,589,615,152,598,
706,686,856,605,760,276,877,137,202,848,216,736,446,137,436,939,689,622,821,
023,193,267,029,319,572,162,575,498,638,293,886,706,364,734,607,702,227,193,
774,949,983,290,295,849,423,065,985,796,044,913,055,831,502,533,385,771,108,
024,174,060,195,138,484,296,105,630,485,997,456,850,264,707,519,020,168,335,
284,935,432,415,391,287,659,370,874,226,837,470,351,144,692,295,787,633,128,
410,497,797,131,092,837,726,422,682,193,122,684,854,773,401,890,955,230,716,
468,707,913,673,971,690,947,504,315,280,758,854,550,039,633,326,695,032,708,
994,060,211,466,771,607,977,791,837,835,431,662,748,988,179,843,150,749,160,
005,063,695,791,489,693,093,118,325,058,960,630,437,262,556,143,263,131,541,
204,577,099,906,209,992,993,524,521,731,396,709,663,276,959,792,709,574,818,
242,777,542,491,373,697,522,216,920,533,531,739,778,378,786,076,221,620,878,
312,218,589,835,179,610,988,938,355,601,344,988,919,243,673,383,130,893,492,
005,518,478,979,495,965,200,297,291,352,057,466,500,743,118,412,916,451,155,
833,488,363,801,512,435,486,908,130,272,739,500,355,110,268,155,981,458,062,
140,236,121,731,495,306,878,518,554,163,633,310,053,767,234,300,572,091,511,
801,417,218,592,160,965,884,645,311,872,044,212,121,985,017,896,037,318,556,
427,786,779,653,127,841,304,068,718,849,955,267,121,059,749,969,430,950,413,
884,018,547,691,322,603,694,508,222,795,499,118,519,857,294,549,551,291,837,
064,789,152,437,737,374,059,011,147,616,652,268,135,736,884,062,008,858,428,
153,057,999,838,788,598,123,404,770,095,664,832,978,949,061,420,592,956,766,
739,812,314,912,013,778,244,977,007,760,463,994,368,256,434,270,602,366,269,
394,915,147,235,401,752,161,406,253,568,870,223,474,303,862,971,633,733,843,
324,040,908,884,142,939,628,373,680,868,642,687,880,559,528,122,338,431,470,
601,071,355,708,133,495,691,500,622,208,655,903,700,416,677,050,685,334,904,
025,378,841,474,889,394,112,429,070,438,641,102,239,113,918,103,861,407,687,
657,817,298,767,550,611,698,163,822,558,225,984,871,612,020,283,267,552,116,
699,348,698,324,093,341,839,989,623,236,502,054,100,832,289,235,263,145,636,
030,230,136,557,249,819,038,594,324,925,630,837,379,394,736,640,185,405,975,
778,536,913,930,769,795,044,408,636,603,170,949,089,479,188,530,122,786,055,
744,934,324,855,912,195,335,955,613,577,021,240,537,335,687,358,840,614,196,
654,768,400,753,806,920,851,653,193,355,638,987,928,020,644,398,188,816,747,
762,730,068,651,995,827,301,810,712,120,855,998,220,383,144,328,651,976,297,
459,508,663,571,981,399,006,849,837,258,744,256,021,076,003,757,456,176,433,
994,391,804,875,529,027,654,632,786,409,318,471,358,583,115,540,057,859,265,
461,427,275,646,610,472,870,951,396,211,165,820,199,022,475,279,929,526,673,
003,918,254,468,275,960,341,802,281,317,995,994,024,672,525,417,954,522,871,
248,808,548,810,492,765,937,817,647,507,420,287,710,004,960,987,448,226,411,
174,044,183,234,514,052,044,630,883,647,171,012,037,480,412,571,728,475,596,
548,834,999,427,565,821,326,344,586,878,525,719,427,089,591,542,965,265,605,
483,840,870,838,655,824,772,382,046,400,940,677,066,008,246,274,298,645,975,
349,268,168,833,933,508,558,605,912,417,333,751,328,851,887,465,378,740,688,
163,180,617,906,653,217,372,182,820,360,041,145,548,573,594,365,077,953,739,
158,980,126,974,185,921,730,812,466,452,363,179,156,187,540,707,012,401,024,
008,778,711,886,660,449,522,928,563,601,271,767,794,779,567,184,837,398,003,
475,342,517,987,971,531,590,767,739,512,988,442,090,762,850,759,921,139,622,
892,380,273,416,956,942,886,314,207,685,914,750,861,731,355,620,513,111,854,
890,459,178,072,772,853,222,073,227,472,476,534,388,068,872,295,187,232,714,
209,684,781,878,317,139,949,966,837,360,003,483,449,856,810,131,753,179,451,
523,052,007,475,502,157,567,057,708,611,235,344,141,980,173,461,972,666,825,
335,099,739,559,207,774,098,627,759,567,181,971,736,223,220,004,119,029,058,
927,673,964,693,998,002,152,046,871,721,562,127,690,973,768,516,431,831,500,
117,081,509,766,440,236,948,239,427,796,741,843,285,919,531,224,998,349,335,
281,488,456,991,270,297,048,459,876,318,082,776,031,197,080,684,802,081,532,
575,486,473,364,603,140,167,813,107,343,550,617,083,071,343,977,906,499,812,
573,234,919,323,817,612,889,707,766,369,897,441,414,826,700,003,912,943,907,
971,403,371,942,353,264,449,396,675,780,770,252,140,946,173,479,869,059,040,
413,405,460,283,657,397,583,081,911,257,050,483,290,404,359,783,250,017,872,
601,023,824,321,014,275,723,232,980,998,767,697,818,217,497,685,280,555,544,
356,718,434,464,848,971,092,360,084,979,636,578,385,819,469,997,983,772,074,
856,395,939,487,836,587,847,280,547,625,939,202,106,161,076,861,570,464,217,
263,281,758,346,916,802,904,594,386,048,626,688,851,879,245,772,537,336,000,
396,576,653,596,828,918,419,740,312,767,608,388,968,387,495,875,454,593,720,
929,746,964,676,344,748,093,413,928,165,160,912,957,932,369,600,636,824,721,
821,837,768,765,098,813,086,484,906,437,515,496,891,110,808,920,038,181,472,
813,272,049,967,510,262,708,182,666,562,453,923,818,501,867,952,589,514,190,
255,836,068,626,749,498,031,425,180,240,154,901,097,056,436,279,732,139,748,
065,460,180,252,016,417,330,528,752,963,375,582,387,000,624,848,193,288,243,
754,325,916,476,109,162,676,932,946,819,595,978,925,086,869,710,008,444,797,
517,659,879,527,563,809,833,318,291,833,232,858,671,916,475,037,881,867,974,
331,772,958,628,467,299,811,247,043,055,916,064,174,775,523,337,180,133,674,
374,329,500,844,878,679,579,612,786,368,975,427,351,293,774,594,569,964,452,
599,529,575,593,217,382,228,021,241,309,382,604,782,767,458,399,404,738,349,
038,822,082,334,863,033,926,238,664,479,577,124,397,956,027,946,386,244,624,
876,564,632,646,294,042,378,884,832,434,603,492,290,747,918,400,181,245,367,
801,351,625,528,835,975,378,883,478,861,908,339,505,992,877,744,606,088,597,
651,903,897,908,782,972,089,285,264,774,008,315,863,866,747,329,270,612,345,
987,309,031,076,514,646,101,547,947,355,935,695,058,384,571,461,609,846,517,
871,265,125,047,306,566,912,039,757,730,016,485,198,493,056,309,811,340,056,
188,106,929,928,919,296,635,645,198,777,576,187,265,975,654,425,227,408,695,
397,884,624,883,555,813,045,498,435,478,623,390,141,489,240,377,306,722,093,
584,617,881,948,694,290,766,905,289,004,283,050,908,055,727,210,888,356,119,
210,594,751,706,139,462,442,205,730,712,208,997,340,058,533,560,481,863,697,
275,923,136,588,585,564,626,082,945,862,795,829,808,187,060,741,186,042,579,
421,504,876,395,754,284,233,073,046,901,308,422,413,051,321,046,912,806,921,
786,691,961,919,825,304,866,665,423,015,807,974,476,227,159,092,615,647,700,
539,803,260,482,731,218,779,826,671,614,994,075,096,713,479,775,859,825,945,
559,749,791,298,270,643,375,970,528,083,992,092,667,807,883,351,231,355,367,
561,595,449,716,720,395,055,546,662,272,791,772,441,654,186,604,812,997,322,
772,437,100,466,344,747,122,705,006,976,016,522,424,401,480,345,736,456,955,
788,527,760,653,995,443,363,500,404,290,200,146,166,876,637,743,679,963,585,
341,096,221,238,490,751,073,495,239,894,276,611,797,309,956,998,570,961,287,
787,413,025,149,740,846,806,824,418,390,338,337,653,011,530,533,039,617,519,
000,098,713,693,342,780,101,291,084,200,466,287,751,144,264,644,595,129,541,
011,262,641,928,513,333,901,085,095,938,259,807,296,485,801,604,632,575,469,
525,686,044,797,976,638,319,665,703,810,013,500,229,538,269,695,364,261,393,
898,694,466,684,110,295,090,825,390,674,007,919,546,758,453,979,340,472,428,
456,510,032,341,852,364,937,021,496,620,767,999,200,868,574,267,101,602,357,
872,029,463,804,841,218,825,366,466,250,953,080,505,911,684,207,378,975,240,
142,306,147,796,809,944,775,665,052,323,244,520,965,966,979,649,345,650,013,
777,971,699,161,100,586,061,190,326,031,629,126,502,866,111,426,889,722,353,
061,630,771,829,393,685,099,244,372,493,504,539,457,776,898,100,287,289,358,
111,425,161,018,231,338,375,807,231,537,397,632,652,810,517,841,548,946,097,
239,553,105,015,758,683,774,486,755,210,447,868,834,778,499,376,935,837,510,
310,912,889,954,706,760,304,465,061,742,252,555,797,473,652,430,720,922,866,
937,185,186,309,894,923,056,585,858,110,000,822,314,360,327,398,315,480,099,
283,649,984,905,396,110,666,916,491,241,928,469,464,891,210,972,836,369,135,
216,586,355,394,265,610,829,955,030,616,042,360,343,772,461,310,334,899,316,
971,808,574,209,802,343,887,386,570,422,333,960,712,346,756,746,538,033,196,
653,487,940,571,893,163,633,766,087,080,251,208,166,428,792,495,095,552,377,
292,415,362,127,236,940,140,731,511,258,669,194,682,998,620,120,654,288,156,
049,934,470,732,106,076,392,371,079,613,367,585,135,460,041,999,761,506,814,
558,981,939,293,383,602,629,106,524,322,007,538,473,073,083,235,048,971,575,
398,385,418,288,726,675,666,050,149,488,617,674,439,070,891,094,012,055,273,
478,609,648,496,446,297,452,327,020,446,890,361,632,298,039,374,076,344,585,
274,903,172,446,442,877,741,149,679,286,145,612,302,995,008,306,727,072,590,
162,945,994,956,075,215,247,356,417,314,686,153,565,256,251,872,136,677,610,
786,260,747,599,609,827,520,132,827,949,042,276,845,598,906,387,225,517,632,
031,464,642,755,917,872,356,779,469,793,913,326,372,232,869,248,167,545,796,
638,297,533,670,544,231,052,018,550,856,998,750,966,326,986,196,666,766,170,
491,165,609,736,043,843,828,442,141,254,062,395,084,079,465,016,768,893,887,
377,075,300,763,786,306,919,071,505,616,724,138,333,365,286,522,797,627,318,
163,440,753,071,130,421,990,516,813,672,499,675,972,346,500,083,586,441,225,
571,615,233,817,282,626,715,240,901,224,105,042,674,333,051,160,296,540,206,
332,166,629,809,510,769,482,930,094,700,575,748,388,512,708,731,158,334,099,
215,720,079,856,307,428,656,056,071,378,338,181,216,874,981,378,654,400,994,
196,732,891,682,795,359,413,699,231,372,054,202,701,657,599,930,209,500,302,
322,738,000,571,347,228,447,330,102,399,529,081,708,324,977,262,385,802,583,
265,472,532,500,030,408,422,170,914,357,417,627,715,839,720,802,544,993,594,
061,233,877,721,853,090,988,661,419,164,327,434,625,716,170,959,118,014,084,
196,986,901,225,505,831,113,570,752,505,358,445,535,976,982,338,383,176,354,
575,069,294,452,742,824,035,582,487,391,133,003,640,191,321,944,895,492,846,
846,537,006,176,099,668,106,380,093,928,980,343,700,067,660,079,501,609,066,
874,635,252,867,963,946,664,994,599,413,162,295,037,565,894,083,270,114,930,
079,803,547,865,552,469,980,014,167,037,170,204,895,733,916,193,385,290,267,
745,996,855,654,414,335,048,892,889,784,863,340,222,109,365,646,863,783,214,
527,124,768,796,255,071,101,591,284,533,089,142,376,809,069,647,597,767,766,
598,770,916,833,949,449,960,337,352,846,192,111,515,590,568,113,196,784,914,
265,891,516,914,097,297,370,546,559,404,364,225,942,554,297,457,250,628,530,
747,267,261,367,223,146,086,448,271,750,419,699,775,988,121,486,356,309,055,
428,683,045,155,980,883,644,481,583,616,005,146,422,115,542,788,710,235,420,
968,975,434,622,679,718,926,079,891,129,970,371,269,915,447,883,444,373,947,
023,070,867,243,686,278,611,683,975,708,340,498,142,034,568,420,831,514,351,
021,844,837,775,279,819,878,055,586,675,851,299,566,869,255,956,372,058,004,
405,679,191,828,298,196,556,546,474,964,786,490,969,060,763,538,562,897,571,
138,898,083,892,525,559,670,899,374,291,505,934,406,554,402,580,739,815,183,
470,623,499,251,726,809,017,446,006,426,388,660,378,548,769,755,143,695,174,
908,368,975,908,076,450,190,794,893,201,306,328,656,285,914,389,637,386,294,
430,047,419,912,693,724,914,644,093,142,913,279,348,321,968,519,999,704,166,
955,991,739,469,482,399,497,150,058,273,911,272,968,614,571,003,045,165,487,
878,823,264,498,444,663,029,610,249,807,737,913,489,735,348,355,651,304,984,
706,387,338,038,134,834,923,601,295,680,103,429,961,154,501,695,573,089,408,
456,013,801,242,146,504,978,362,119,657,707,923,208,077,679,487,616,433,946,
306,427,642,594,795,098,221,087,272,380,086,921,285,340,331,023,593,341,551,
106,977,968,854,193,228,176,768,053,357,614,314,795,010,500,817,222,816,217,
330,383,173,357,576,748,667,029,053,352,464,537,898,472,802,985,257,283,576,
815,126,110,376,859,403,555,372,087,359,142,585,886,085,622,673,951,927,125,
025,550,352,953,694,417,716,016,578,803,195,122,055,223,339,811,554,268,145,
038,167,790,115,484,323,609,313,279,259,288,368,122,438,963,198,209,519,439,
390,731,424,523,144,829,017,171,460,992,754,489,679,188,215,319,894,069,337,
397,505,437,617,607,380,285,233,059,483,851,565,911,337,218,841,767,139,863,
559,122,197,035,698,678,136,752,523,772,809,665,560,244,036,277,922,286,697,
769,122,423,755,641,694,449,257,417,081,215,200,197,794,176,407,501,266,906,
750,654,765,797,367,241,551,154,616,820,824,675,041,495,338,101,653,014,245,
746,041,051,429,284,534,204,957,712,281,077,253,554,314,066,669,411,885,433,
018,358,440,307,476,950,467,582,997,382,934,073,009,962,668,017,518,796,488,
877,047,026,919,819,570,183,921,191,267,490,842,320,079,024,736,943,612,081,
256,598,590,793,257,931,084,535,546,907,215,953,850,599,459,706,226,519,349,
329,364,507,433,317,333,933,267,210,602,346,522,731,558,956,164,549,157,552,
596,663,464,297,625,010,419,245,313,849,160,498,908,713,655,285,509,190,600,
445,582,532,980,394,170,384,839,298,685,480,261,059,777,600,682,273,838,269,
940,016,782,852,828,354,102,301,472,214,776,396,573,702,999,608,873,831,627,
316,325,002,488,458,811,518,418,134,251,103,519,228,824,867,950,365,350,339,
277,687,235,719,844,735,463,088,919,254,564,385,466,827,145,018,848,378,971,
796,332,682,991,679,535,912,764,656,880,974,076,666,773,237,027,243,444,439,
453,045,934,765,196,425,206,265,353,646,121,297,259,052,387,095,609,041,413,
470,705,915,035,050,429,639,776,411,322,987,852,817,621,997,915,300,322,441,
987,718,767,543,747,581,712,065,563,425,597,613,815,590,511,624,536,661,579,
393,691,756,871,188,269,523,162,508,774,581,148,516,364,933,409,494,541,870,
837,373,120,588,489,658,607,712,340,928,651,572,748,175,532,205,280,462,663,
742,780,255,128,916,082,003,762,592,179,625,011,262,184,622,155,473,205,112,
732,643,699,860,222,087,156,894,206,791,873,259,782,996,958,806,605,212,617,
152,338,031,344,137,235,416,264,163,896,821,204,722,683,906,189,725,589,544,
841,536,602,944,129,612,252,727,970,311,100,933,042,501,612,979,714,825,661,
061,073,365,186,391,781,984,555,215,183,645,233,978,248,352,664,736,367,003,
591,862,180,028,219,425,367,367,013,047,924,253,587,731,578,467,357,917,248,
189,323,643,041,707,496,291,371,083,394,065,203,373,869,525,887,613,074,466,
139,923,391,126,825,655,979,384,299,490,991,812,843,327,939,678,569,882,673,
462,189,594,313,929,457,801,516,857,257,393,021,542,014,928,496,892,671,103,
442,299,504,112,783,782,098,826,900,119,263,564,457,939,342,575,050,289,390,
016,207,741,386,093,740,872,721,524,833,005,344,447,440,922,390,510,403,717,
371,004,226,414,114,336,300,075,577,087,857,474,987,479,213,834,857,341,059,
963,385,497,377,481,024,809,558,893,259,097,307,810,648,410,115,509,846,185,
899,940,390,326,247,118,681,340,851,604,189,879,735,681,730,133,078,489,171,
620,824,315,815,041,887,021,542,582,133,022,401,147,333,783,482,824,316,405,
840,473,979,798,025,009,850,569,462,889,832,710,521,286,306,926,905,460,225,
679,300,771,275,247,719,813,478,624,522,419,954,340,385,798,764,752,939,716,
287,137,142,954,070,148,062,200,482,638,459,462,828,054,987,010,335,613,375,
471,655,738,604,583,987,567,269,051,182,105,028,075,618,057,760,946,839,883,
802,039,389,306,531,315,466,698,599,109,263,424,812,323,093,219,649,448,834,
321,710,820,648,357,910,945,313,932,685,395,973,022,704,640,858,033,760,633,
823,885,466,433,440,559,738,141,020,624,484,687,516,172,900,410,590,167,504,
490,507,250,873,936,644,947,534,574,422,626,816,640,977,416,728,267,066,074,
416,034,788,846,102,333,538,762,523,564,142,837,920,274,258,058,405,438,077,
437,624,159,680,392,787,318,977,712,572,571,419,669,799,870,035,667,684,259,
713,004,213,268,584,652,903,665,149,983,934,631,318,728,885,274,496,983,415,
955,603,202,876,597,506,404,844,338,358,540,627,932,181,822,000,847,864,828,
273,761,547,085,072,798,685,991,809,737,143,793,375,045,926,803,937,124,438,
106,414,867,498,474,162,442,622,166,139,834,654,294,970,106,520,365,248,439,
162,641,203,117,516,593,543,200,469,566,059,208,129,014,181,160,065,180,471,
600,094,327,652,635,214,962,820,975,067,644,675,700,302,797,816,243,675,237,
307,316,266,104,885,060,522,500,109,974,054,959,838,815,188,186,491,763,228,
613,136,100,437,846,076,135,934,602,829,447,056,915,712,856,306,068,033,127,
634,223,006,445,969,251,570,971,476,961,781,593,807,286,914,211,688,768,721,
087,953,495,908,066,975,680,515,031,133,935,436,569,922,187,526,482,606,189,
089,465,844,602,031,648,803,785,355,275,695,621,930,340,978,170,206,759,662,
683,352,639,454,734,784,513,959,851,457,765,374,632,437,938,840,348,842,669,
519,325,423,987,472,432,189,283,579,691,864,575,765,337,280,973,241,897,809,
111,600,218,396,636,279,033,872,048,076,469,727,608,239,376,322,521,630,355,
155,478,739,909,371,754,179,322,358,864,376,696,163,460,065,403,659,818,372,
948,242,815,963,558,656,626,845,928,486,016,254,452,232,659,856,919,927,199,
606,056,965,829,409,526,361,783,585,056,202,905,596,866,017,538,511,133,399,
082,505,079,220,434,423,551,175,033,497,432,431,251,531,755,697,693,214,527,
481,754,827,104,041,801,148,912,190,589,845,077,422,612,140,127,033,937,432,
691,077,087,979,999,726,117,153,807,639,388,980,533,397,226,396,640,222,540,
491,593,758,262,887,072,230,373,815,785,604,587,858,128,251,039,859,246,332,
933,327,915,111,075,932,819,751,518,889,441,843,926,515,981,465,969,053,854,
876,991,695,636,380,181,248,181,357,299,364,334,477,195,940,552,331,521,853,
598,718,054,155,828,451,922,738,156,525,047,696,233,556,710,261,415,033,190,
203,005,180,509,767,414,179,053,671,088,502,808,277,789,321,628,530,314,879,
194,252,254,573,635,250,137,131,327,188,759,751,113,261,428,109,166,872,537,
533,868,222,922,406,354,019,356,263,280,824,220,497,640,566,961,665,523,651,
138,849,485,373,791,603,328,012,072,051,611,654,308,847,028,208,700,225,149,
220,803,293,640,608,188,325,015,436,643,894,536,297,202,817,282,892,725,545,
699,100,339,721,783,300,427,144,406,318,234,864,473,441,202,833,580,115,675,
115,532,622,610,633,267,603,740,610,219,211,084,323,998,255,788,761,019,738,
098,144,557,415,427,232,069,449,444,528,694,649,666,998,826,624,109,403,086,
971,840,279,186,086,161,548,534,485,706,923,873,147,691,331,350,362,428,606,
347,280,563,760,115,829,361,286,367,359,254,367,129,067,920,982,368,548,457,
858,822,937,536,574,571,436,920,129,961,814,961,866,059,945,350,917,413,381,
158,285,331,310,054,270,080,102,830,509,852,421,895,014,064,341,767,525,533,
936,476,739,947,698,813,497,263,223,221,594,711,135,863,566,587,211,082,866,
212,889,459,153,548,336,128,470,737,256,206,741,009,254,558,264,206,278,702,
617,320,508,318,884,484,658,450,072,154,727,289,895,993,965,505,849,326,176,
312,680,661,510,217,141,404,501,610,660,444,204,749,011,992,017,090,237,756,
482,758,289,972,464,548,090,831,100,971,367,301,485,115,960,032,080,477,672,
706,101,059,882,967,792,454,429,533,715,912,440,294,048,118,641,104,578,876,
530,766,920,271,553,839,347,021,806,522,904,066,226,699,768,684,908,430,587,
738,607,264,844,266,634,530,495,501,433,190,689,762,131,365,090,509,250,209,
661,218,028,678,431,566,847,729,369,631,834,678,237,930,113,432,654,369,747,
300,868,118,833,988,374,193,907,017,910,465,066,834,859,396,538,499,078,241,
158,380,693,378,252,778,958,941,963,099,459,344,887,812,053,378,614,207,833,
832,924,029,800,578,528,112,390,025,839,253,027,853,067,699,233,125,711,402,
550,498,668,264,581,760,352,718,053,295,821,028,301,214,413,587,275,492,952,
955,249,537,791,139,863,779,942,636,700,960,714,256,909,579,355,510,024,822,
237,919,029,573,258,748,055,610,227,820,178,265,756,997,351,306,254,193,224,
660,784,148,062,184,777,679,082,200,797,451,043,874,805,957,948,555,461,863,
243,538,227,198,337,114,373,048,270,712,506,747,974,763,863,448,888,704,262,
219,798,742,749,061,716,267,922,648,309,024,149,812,122,390,206,111,946,788,
230,973,872,127,758,959,068,512,944,947,465,321,762,849,589,075,626,672,441,
697,651,574,984,767,965,100,040,628,403,402,487,749,541,849,000,866,772,955,
928,983,404,336,001,389,253,657,362,003,352,208,826,377,398,082,541,054,045,
041,616,357,859,130,516,962,776,913,113,395,466,131,350,139,822,651,807,869,
504,844,678,491,470,822,439,962,206,960,109,795,962,979,027,431,478,265,887,
448,811,653,230,907,715,572,851,369,105,599,890,714,453,242,172,293,396,210,
328,458,745,026,488,106,673,935,881,629,860,732,127,452,448,640,322,297,189,
401,290,285,389,350,815,423,972,964,467,709,724,292,138,995,906,126,359,483,
514,940,054,717,696,845,747,560,044,022,292,647,317,980,512,636,112,411,258,
541,930,421,084,832,616,569,146,177,213,236,326,598,766,772,789,218,384,147,
348,173,095,297,687,382,195,448,678,639,946,294,350,435,836,531,851,598,250,
888,281,645,430,711,370,662,877,698,562,368,896,027,965,688,928,512,085,786,
766,815,752,124,866,364,610,922,861,305,239,889,848,800,955,212,280,689,660,
265,898,596,057,825,115,353,394,019,171,449,537,469,646,260,556,791,769,486,
132,956,983,156,957,207,236,691,802,372,614,415,400,068,386,667,939,965,243,
566,684,485,158,600,206,249,568,961,839,769,688,761,360,176,488,742,193,138,
999,733,316,174,369,533,948,040,657,811,195,410,645,046,552,942,272,202,187,
096,098,073,292,877,706,638,085,117,121,713,804,969,774,100,618,529,448,064,
601,809,895,264,695,556,897,574,483,555,259,838,223,137,654,376,660,744,224,
353,650,207,790,987,840,055,416,633,944,471,904,470,096,214,395,118,181,207,
988,941,015,910,732,183,130,342,697,962,327,910,513,582,809,559,162,917,896,
406,153,442,320,875,903,976,439,858,847,730,458,599,224,156,200,349,843,217,
804,010,903,471,641,836,141,011,041,854,808,094,806,912,105,099,462,153,299,
825,189,137,153,832,594,302,929,872,934,016,166,327,102,875,812,657,526,035,
071,626,471,527,176,449,148,840,624,051,654,961,907,197,981,796,476,758,072,
242,148,603,642,261,116,002,292,253,197,278,497,583,792,583,899,688,335,446,
751,886,997,765,679,376,133,894,199,366,497,412,475,198,716,357,450,614,478,
037,821,278,904,985,552,698,863,446,939,147,532,255,349,581,705,296,937,251,
241,384,848,484,768,186,658,589,651,721,137,695,240,158,739,172,564,193,347,
065,942,887,788,289,323,879,306,198,639,438,571,784,529,847,551,945,056,447,
655,321,009,455,056,657,251,434,546,532,970,117,271,457,881,053,669,673,180,
624,550,872,398,029,923,398,939,797,070,883,762,000,803,456,460,464,871,725,
539,600,764,584,265,737,153,866,507,066,043,297,434,270,430,024,303,634,290,
503,594,908,720,996,027,376,007,915,462,813,003,131,728,439,031,257,151,732,
822,465,126,623,808,171,808,934,322,520,412,392,482,106,858,650,096,155,746,
941,405,205,542,749,589,676,226,299,859,675,935,412,664,080,863,252,773,618,
589,940,655,662,198,081,276,467,063,575,520,987,692,194,578,331,581,279,419,
533,016,328,817,817,603,553,580,589,947,654,157,969,054,077,942,877,050,261,
507,221,471,213,048,033,962,812,643,892,407,896,192,915,566,495,952,873,125,
322,397,786,908,048,796,562,189,299,272,308,965,928,012,307,249,317,783,218,
253,221,660,063,099,803,307,622,977,072,902,009,045,433,786,065,098,691,183,
653,577,878,854,071,609,976,970,655,263,028,522,045,025,996,230,287,209,652,
522,053,159,918,000,161,411,093,444,919,407,784,979,498,289,929,722,384,054,
564,066,387,885,525,054,679,407,204,832,787,318,379,230,226,583,192,130,295,
627,654,633,595,140,446,767,877,850,423,723,789,459,698,170,066,272,645,253,
625,130,480,163,853,817,702,462,380,778,754,481,226,766,656,823,963,391,838,
085,060,243,833,595,913,448,027,676,931,887,088,989,258,752,918,181,533,649,
301,062,557,166,743,489,101,652,833,100,497,772,231,460,764,607,193,683,660,
929,225,405,824,255,888,125,079,572,007,417,604,777,105,662,342,223,606,950,
926,192,862,110,728,304,601,504,498,659,678,780,089,629,338,057,321,313,444,
407,695,144,560,606,064,641,360,289,230,507,944,652,598,603,396,988,178,896,
277,822,272,063,358,745,681,644,430,032,139,334,028,910,620,850,264,564,435,
452,371,275,149,030,329,715,303,677,119,842,484,000,226,682,621,462,705,500,
022,372,243,865,963,525,921,254,449,781,985,592,867,511,704,007,910,779,006,
601,771,118,299,462,757,263,069,509,503,139,130,259,405,348,502,166,421,743,
930,240,666,757,052,307,482,330,917,749,573,651,993,527,974,451,226,233,036,
318,551,803,298,372,149,831,812,144,253,107,465,072,860,504,926,355,069,696,
860,418,462,383,185,661,899,323,888,281,363,605,330,295,874,122,488,232,021,
845,419,311,436,640,377,309,141,116,429,274,946,663,995,491,099,260,153,047,
778,932,008,974,516,386,354,777,923,357,786,429,481,445,157,718,632,272,856,
420,131,523,702,501,844,720,221,937,731,743,169,455,471,378,898,553,499,975,
560,484,527,749,726,799,743,616,742,254,854,808,840,737,690,995,908,370,106,
266,787,996,969,050,158,657,955,401,524,288,611,841,678,664,662,246,519,669,
916,442,213,197,699,962,387,008,312,667,237,808,208,021,775,439,883,278,534,
050,352,242,744,981,737,381,834,307,493,359,156,688,030,984,766,308,968,723,
072,061,345,146,711,789,592,481,204,409,214,338,549,010,558,808,095,562,995,
074,442,565,882,181,077,904,789,668,085,906,452,652,421,693,236,844,550,497,
831,737,204,953,360,085,086,257,209,215,453,006,675,920,422,478,171,154,504,
802,810,023,562,021,019,314,179,166,703,223,024,372,285,991,712,886,503,378,
333,164,881,332,353,129,727,348,884,788,310,703,108,918,629,197,931,000,201,
148,786,346,441,925,108,669,936,890,867,367,405,600,771,544,522,111,232,151,
159,997,480,397,207,699,692,800,816,189,838,797,405,622,043,806,469,991,528,
082,643,914,203,031,296,337,173,527,591,853,760,307,126,652,902,765,080,287,
177,918,831,534,937,306,490,304,835,691,806,092,943,397,949,402,517,805,419,
504,073,427,073,462,585,597,844,660,763,793,718,839,706,918,342,555,576,138,
125,999,632,193,426,603,641,898,448,419,755,904,765,725,270,494,136,660,453,
234,160,635,238,952,153,483,146,016,786,091,272,873,909,364,549,536,731,341,
029,846,597,518,149,632,696,158,565,442,684,974,588,136,992,370,210,088,237,
697,596,686,088,884,480,547,008,446,596,398,963,225,970,201,673,556,197,870,
958,750,473,923,239,260,788,730,337,572,396,391,479,482,235,074,378,960,139,
220,319,748,579,344,043,541,727,706,305,697,005,990,422,900,999,547,139,946,
637,786,728,914,364,196,523,250,801,881,443,346,431,112,200,223,922,538,646,
365,627,584,218,333,204,030,955,721,993,177,153,327,071,433,336,055,719,667,
138,409,121,185,783,419,122,701,251,526,737,907,847,243,202,088,893,012,520,
487,824,198,870,640,289,926,555,979,347,937,226,176,165,003,879,777,333,777,
157,486,700,719,142,333,735,574,652,525,954,040,847,245,636,321,993,537,271,
572,154,801,453,033,717,889,593,769,564,707,398,411,808,525,845,245,736,816,
964,160,304,887,266,428,655,583,815,364,415,346,428,524,805,618,328,942,047,
608,779,728,060,232,054,034,742,546,297,590,921,324,186,667,664,540,430,140,
146,736,957,291,872,437,121,705,219,795,674,893,638,743,666,028,148,838,706,
494,547,459,696,405,083,983,123,184,087,449,260,999,818,631,916,261,414,358,
594,161,202,322,287,924,575,449,493,872,616,673,061,623,342,598,095,536,185,
675,397,493,824,535,839,798,082,082,528,089,338,572,938,385,474,639,650,613,
459,550,557,908,844,426,938,042,142,991,155,476,247,245,219,994,544,033,185,
778,852,542,352,538,569,177,192,146,574,075,192,743,038,164,699,700,119,523,
912,194,536,952,943,450,777,103,654,542,522,696,586,252,291,248,244,099,705,
589,034,044,325,663,441,206,299,777,245,026,457,030,399,341,434,153,477,638,
614,181,636,691,467,282,384,875,111,916,640,949,262,300,125,482,574,243,329,
737,669,372,794,319,693,127,278,070,503,522,998,185,927,212,037,674,818,566,
347,719,808,749,733,538,199,775,026,184,889,127,447,053,372,497,396,475,177,
306,037,587,463,335,839,704,016,842,424,643,918,770,919,744,270,347,065,054,
985,370,722,316,638,563,046,985,374,971,148,282,096,941,052,921,548,975,295,
570,078,157,012,987,977,818,012,206,144,484,307,602,934,917,722,627,897,781,
508,900,452,359,974,148,307,135,820,793,866,798,084,942,489,407,347,870,487,
262,431,885,026,447,063,838,693,767,859,670,841,644,959,752,731,067,992,376,
413,359,154,231,025,303,523,353,912,484,483,950,121,928,430,567,795,942,870,
927,316,063,743,103,471,005,781,360,900,344,257,402,584,723,993,881,084,970,
718,542,020,839,583,073,512,411,677,098,504,969,767,865,912,409,114,735,581,
447,934,837,557,640,383,452,315,498,332,870,004,622,135,300,415,983,313,585,
468,461,983,276,467,540,053,778,133,780,656,279,583,208,393,654,821,256,021,
824,934,148,615,967,577,336,981,838,642,863,852,153,633,812,825,698,111,888,
837,624,990,626,629,122,809,952,948,631,743,647,911,536,692,401,712,824,331,
995,633,449,743,421,021,093,503,801,773,096,838,656,394,941,837,249,136,968,
495,205,152,872,557,142,293,068,165,901,853,660,974,339,534,146,541,298,454,
748,290,088,768,864,327,923,833,592,686,230,492,803,155,712,672,326,139,679,
737,106,281,639,299,019,009,101,681,742,412,948,516,001,263,362,461,882,841,
560,970,093,246,251,740,393,277,513,381,000,907,430,979,405,581,682,733,622,
862,843,820,921,233,734,161,146,834,390,517,609,073,395,680,163,582,581,881,
222,573,043,127,503,158,939,446,465,299,084,752,484,785,501,610,098,733,229,
654,906,534,518,664,732,710,631,705,511,356,400,041,754,567,707,489,704,266,
726,045,259,497,686,159,479,094,285,482,665,933,411,868,522,837,791,523,579,
836,421,914,056,558,590,835,693,087,400,014,790,450,370,078,689,134,392,016,
467,724,435,475,045,526,053,323,985,946,426,473,897,281,454,616,569,431,637,
102,272,521,903,532,380,973,154,748,736,199,202,293,325,495,508,580,916,043,
786,424,266,862,942,189,843,952,420,723,326,151,706,333,899,757,775,501,193,
962,405,035,409,685,350,030,792,408,715,865,148,485,809,615,147,355,890,505,
324,547,507,300,730,996,219,953,188,574,316,457,985,008,311,299,745,870,940,
537,320,828,168,331,181,773,825,579,128,606,470,045,276,269,352,445,371,000,
971,043,694,305,035,105,857,091,146,751,142,514,982,793,804,651,221,853,443,
465,360,978,996,575,219,737,495,501,423,604,452,043,140,816,873,567,579,948,
177,938,158,334,497,122,948,959,670,416,611,067,448,271,052,208,904,267,224,
518,030,731,768,317,351,743,031,998,257,363,284,435,342,113,164,215,310,764,
956,014,954,919,273,009,830,089,188,730,364,380,616,693,332,774,033,661,699,
545,137,644,440,530,454,808,401,847,657,351,990,593,187,077,211,570,463,301,
404,686,727,103,786,145,390,651,866,933,741,764,543,921,577,530,706,065,286,
872,467,993,357,321,766,085,115,126,862,741,252,425,536,996,625,847,962,791,
768,266,028,807,551,330,964,209,837,785,078,396,039,692,503,259,202,828,073,
391,164,441,722,661,533,482,446,957,782,465,847,700,778,693,354,046,748,078,
358,281,952,024,140,746,461,200,256,237,781,844,862,403,867,226,900,686,040,
274,297,309,374,924,624,923,673,259,929,501,737,807,224,806,814,985,434,279,
393,755,653,589,518,631,824,582,532,850,693,381,175,439,538,107,788,940,065,
017,601,599,025,572,066,367,631,368,744,381,825,098,369,717,001,250,616,193,
188,433,346,804,340,656,069,956,407,378,956,841,362,398,691,574,565,631,140,
555,341,412,513,959,214,585,084,519,479,096,444,252,080,890,438,363,412,697,
628,993,276,330,908,080,723,960,541,910,288,638,036,994,204,988,680,092,107,
866,591,534,493,090,191,831,528,080,881,185,917,040,569,993,208,460,953,796,
960,542,879,372,914,790,341,352,535,127,449,569,459,838,815,642,728,536,034,
683,739,256,304,497,101,739,061,707,051,480,384,671,046,940,161,583,647,943,
663,214,793,331,616,974,368,706,844,673,126,176,956,560,781,831,201,334,255,
484,517,670,817,416,309,698,987,492,188,007,033,198,896,378,482,773,018,207,
540,597,969,151,705,956,523,082,690,637,829,300,913,621,471,990,148,533,597,
663,677,390,308,928,583,339,237,217,906,452,565,998,395,938,479,389,149,353,
309,596,696,160,904,506,978,767,699,934,842,238,668,249,410,309,742,581,029,
134,074,688,064,677,556,214,776,675,909,208,550,604,616,719,687,086,347,020,
997,703,380,344,279,374,882,152,846,187,070,018,546,584,130,667,913,865,806,
426,311,550,065,736,904,367,414,353,952,759,744,667,755,485,230,078,911,657,
547,102,635,041,315,821,107,492,203,338,939,034,613,987,606,273,187,247,213,
213,435,005,335,705,776,754,246,359,954,930,597,972,125,102,494,539,660,348,
742,054,117,227,006,896,001,540,424,780,053,015,690,731,137,466,643,850,901,
097,722,010,667,695,268,028,230,511,124,604,883,652,824,373,972,177,723,323,
298,530,513,910,346,008,908,902,260,426,058,827,349,508,734,167,539,671,181,
234,218,058,961,429,066,080,793,271,898,040,709,348,433,990,580,441,297,450,
046,924,359,861,671,505,260,429,984,304,636,047,253,184,814,663,031,583,892,
721,954,788,512,830,479,405,545,973,206,209,486,855,346,136,560,258,168,589,
190,816,499,839,123,438,160,013,093,533,458,372,587,592,112,828,721,239,177,
478,731,948,826,572,725,752,029,929,709,767,783,687,334,623,316,405,263,145,
485,366,760,391,402,018,230,754,450,655,411,077,279,039,620,477,279,540,636,
807,788,597,751,993,144,280,153,176,183,812,865,728,944,467,099,569,499,065,
898,034,406,159,470,022,177,818,648,355,082,952,555,318,696,694,069,105,549,
764,852,853,619,212,281,513,977,053,623,842,938,705,923,920,432,057,182,990,
631,019,119,610,415,103,875,616,683,372,643,217,407,227,509,521,406,729,275,
105,241,417,826,756,063,607,560,171,130,573,197,596,249,064,701,322,141,705,
009,380,674,048,680,818,897,501,398,063,226,462,463,247,815,608,112,268,800,
581,730,571,678,270,507,458,874,197,971,841,261,482,106,613,693,580,879,011,
440,335,908,376,289,503,859,833,631,690,796,805,463,518,155,925,616,989,322,
731,760,622,654,443,917,716,023,323,762,105,672,092,823,912,405,839,499,776,
378,086,697,821,615,658,504,593,243,689,646,825,651,790,696,873,819,995,689,
785,963,248,983,915,723,657,711,508,164,723,618,037,090,519,664,865,163,085,
326,692,283,152,077,566,845,453,806,510,084,167,633,417,277,526,646,839,494,
342,228,945,369,457,982,239,674,882,121,318,931,787,324,833,692,102,950,598,
382,673,247,970,528,747,449,935,861,718,057,670,043,852,463,616,227,195,490,
999,593,780,762,417,915,676,173,337,714,135,637,397,500,153,531,866,167,666,
633,996,322,427,417,786,846,787,285,912,135,362,864,717,483,025,743,799,311,
162,054,407,986,076,123,646,682,206,529,642,105,171,337,658,565,534,275,194,
033,458,416,562,832,441,409,096,904,123,006,915,411,899,812,795,899,455,413,
336,949,866,438,365,669,505,000,200,195,442,545,140,420,898,208,999,214,470,
215,328,076,829,693,886,366,812,524,427,914,742,292,584,685,037,946,025,398,
353,345,276,316,198,815,110,321,569,190,457,876,881,692,566,455,888,826,416,
279,486,604,202,423,715,841,634,616,764,127,741,549,991,080,715,391,146,337,
190,922,987,790,136,824,156,642,196,552,387,442,573,974,695,064,904,339,530,
755,896,798,365,833,132,200,199,304,751,869,139,879,434,081,715,116,771,557,
489,698,824,625,552,669,320,520,485,660,160,943,569,635,318,405,371,349,427,
736,506,540,737,894,974,276,491,263,196,068,171,825,638,899,098,768,906,148,
663,760,264,190,247,038,191,571,657,144,871,481,614,164,619,890,103,186,682,
482,084,890,766,618,858,448,381,410,585,461,198,638,289,981,261,466,469,920,
734,845,728,824,767,933,729,143,357,940,516,517,510,338,861,230,512,607,849,
148,315,400,115,054,714,502,341,653,790,615,828,195,135,038,396,576,187,822,
544,031,764,646,216,862,535,534,608,863,995,715,487,352,080,920,920,096,358,
598,279,291,892,357,015,750,025,677,817,724,863,744,771,060,638,060,698,248,
628,241,022,351,540,222,130,499,233,618,413,974,889,059,669,223,195,717,659,
613,281,934,975,948,936,490,209,370,532,890,440,360,406,618,916,424,592,579,
016,140,764,867,133,048,983,290,471,713,314,105,606,905,087,414,949,352,703,
780,556,832,634,803,767,571,740,275,091,210,005,114,259,031,352,447,682,802,
845,568,377,347,506,724,321,069,853,668,957,337,909,382,587,967,581,350,642,
643,466,387,573,056,389,072,454,384,802,798,700,620,263,648,455,834,458,543,
951,891,771,950,602,527,781,020,099,290,688,831,759,028,592,160,672,923,067,
755,409,863,228,649,323,815,112,182,215,705,549,023,893,736,921,514,032,822,
678,283,421,688,170,423,015,237,484,701,025,061,274,547,981,514,807,415,772,
486,119,359,613,210,054,970,072,371,014,039,458,113,196,725,145,924,383,551,
068,490,792,158,318,507,654,640,264,453,463,230,578,606,447,623,504,197,275,
218,889,613,682,513,217,503,343,780,197,264,804,295,233,073,877,767,848,767,
577,342,132,930,818,604,613,008,263,506,199,517,518,881,427,941,378,174,978,
469,527,594,621,635,183,257,741,223,740,137,879,469,184,835,862,516,154,172,
853,869,078,762,558,913,339,564,120,296,881,628,300,396,175,299,522,135,429,
405,291,034,529,393,039,411,444,113,578,671,417,112,298,578,676,240,153,589,
935,624,889,998,376,022,235,378,731,073,893,555,473,109,762,687,407,211,892,
968,282,993,744,948,246,364,801,962,559,625,354,849,529,066,231,851,929,931,
333,528,855,637,879,149,888,747,955,834,694,513,315,273,039,007,123,641,608,
458,812,284,534,143,656,367,223,225,315,962,303,756,369,439,972,769,236,164,
247,748,009,559,155,671,747,222,658,272,014,917,678,397,023,976,061,226,233,
438,773,807,250,732,413,030,016,720,050,829,514,348,212,244,997,201,275,214,
573,699,486,992,070,644,592,927,569,190,488,363,177,282,160,028,422,971,963,
620,150,834,070,908,073,898,044,140,006,554,569,890,812,878,800,459,824,929,
072,666,967,303,294,768,016,933,106,604,501,957,270,333,367,203,870,167,536,
245,298,265,508,063,634,370,468,447,738,798,836,841,855,292,102,649,549,009,
169,973,662,845,732,048,426,425,754,527,210,757,232,683,560,846,939,858,691,
846,929,354,113,307,710,831,850,262,590,645,302,931,252,374,597,741,167,905,
437,687,835,018,278,531,115,130,888,481,952,651,608,120,325,172,480,381,608,
858,136,479,329,052,280,664,105,697,304,761,412,510,051,502,035,503,046,491,
674,340,577,195,325,120,023,026,069,537,975,241,932,532,127,399,387,967,763,
445,835,833,272,482,635,801,480,734,845,497,864,184,488,084,958,920,854,352,
938,722,370,156,716,237,260,459,144,536,842,641,612,406,563,835,277,369,682,
501,247,090,928,801,514,781,022,038,132,868,196,735,999,740,775,985,183,197,
074,194,460,401,504,924,990,853,632,218,884,353,866,810,638,581,648,003,832,
216,506,956,186,478,627,590,592,136,230,089,922,960,351,539,953,480,628,117,
597,188,383,206,777,398,772,479,415,249,388,047,015,903,215,419,399,333,852,
593,111,931,301,151,853,943,209,311,018,779,446,362,809,195,052,459,870,279,
680,794,529,087,804,711,342,867,276,587,474,385,812,056,633,737,859,107,775,
721,701,055,525,751,605,215,936,828,705,765,860,505,283,070,950,130,543,611,
852,279,587,156,865,291,160,242,034,985,675,499,954,525,445,590,058,356,852,
272,549,827,667,239,720,574,423,543,515,286,439,827,301,811,321,090,673,933,
107,935,028,803,651,424,260,430,513,399,887,332,565,145,883,369,109,122,711,
960,842,885,957,578,893,337,104,035,333,331,785,926,039,167,485,334,987,743,
779,160,144,309,996,777,526,019,926,478,231,914,773,211,787,716,727,078,335,
306,471,516,365,841,850,437,746,465,150,352,238,295,243,289,407,675,056,586,
493,524,604,462,541,363,687,398,823,292,806,459,697,152,572,640,521,054,565,
459,516,531,585,915,627,981,942,013,714,419,092,050,325,653,111,063,139,275,
294,011,989,782,151,453,173,977,713,656,565,737,918,584,029,412,132,555,812,
690,978,544,663,778,216,956,374,054,682,922,186,711,600,386,486,110,001,164,
582,946,642,536,877,559,493,127,143,254,674,413,043,068,734,753,958,279,682,
313,524,631,559,153,492,925,789,110,210,510,858,077,486,475,168,017,329,984,
531,876,082,002,891,784,564,638,469,085,641,930,029,682,312,321,219,117,981,
155,988,235,578,338,188,320,328,979,585,971,396,184,888,115,969,768,393,651,
269,982,572,727,285,263,704,781,783,566,182,165,957,057,199,600,993,048,864,
428,336,982,044,016,535,844,669,058,811,035,649,515,985,861,324,802,069,177,
675,137,052,157,321,296,457,163,422,086,618,952,183,444,870,614,599,063,839,
365,180,610,024,070,219,710,718,555,745,910,110,478,510,782,774,207,995,526,
990,016,513,403,946,586,490,467,211,860,823,674,576,180,511,408,818,757,841,
278,912,760,295,006,495,089,772,471,462,071,022,169,926,907,099,155,653,693,
299,340,746,214,323,050,633,272,865,407,845,116,321,515,961,960,860,049,148,
099,665,560,633,224,747,620,948,236,430,028,742,108,909,779,083,173,716,322,
643,448,646,403,713,839,881,517,910,065,771,067,706,384,260,713,170,040,233,
953,591,033,212,401,707,378,864,620,225,714,467,916,761,044,580,377,455,964,
104,467,930,108,409,500,441,733,866,403,475,178,480,256,930,299,446,549,788,
946,133,323,789,752,089,538,991,638,019,712,746,603,968,423,512,817,706,560,
809,512,887,767,091,020,714,896,543,435,934,736,047,693,894,680,608,652,545,
377,918,432,719,960,619,767,661,048,055,101,055,966,372,986,971,360,231,464,
805,474,322,333,130,885,993,307,299,634,399,343,014,197,446,668,105,773,812,
489,703,833,427,037,514,381,529,844,289,920,933,841,829,956,041,281,508,646,
202,313,680,174,293,710,711,325,114,633,340,025,634,376,695,150,802,398,789,
125,946,451,255,716,804,265,020,751,033,648,187,884,562,144,506,005,484,131,
407,125,191,704,879,868,068,736,877,073,948,051,214,551,790,271,755,704,204,
511,274,738,247,348,889,081,899,012,143,767,268,615,849,228,978,206,484,529,
282,419,640,526,441,071,643,100,644,543,635,348,579,678,394,467,168,774,975,
031,183,757,687,259,876,025,711,440,541,287,377,750,032,405,897,455,298,296,
436,093,543,463,914,437,877,173,332,885,728,664,456,039,185,259,109,464,497,
689,605,850,252,568,707,135,612,331,410,802,150,275,905,277,122,359,046,757,
746,639,436,570,621,006,137,729,241,189,959,814,390,757,160,759,866,552,130,
634,312,713,067,430,901,738,684,434,263,717,422,666,660,735,231,958,805,304,
855,194,131,391,376,789,482,147,985,640,144,267,192,244,945,848,715,986,621,
599,820,307,598,560,219,192,480,998,249,320,267,717,530,016,020,456,193,861,
587,577,603,479,340,441,792,626,808,709,246,872,844,101,225,796,337,103,540,
747,450,322,836,022,538,238,372,170,626,544,590,064,148,391,400,888,006,699,
177,344,955,874,610,584,347,915,511,850,894,479,710,509,126,827,255,744,207,
437,940,555,077,098,939,627,751,838,921,840,197,070,188,065,050,144,497,766,
428,509,946,799,962,093,115,882,047,171,190,831,926,846,072,190,696,552,168,
501,843,034,005,081,684,427,953,601,814,459,126,959,690,711,093,090,429,137,
233,099,975,280,103,718,726,000,511,868,999,848,733,221,714,907,876,199,421,
939,380,059,662,817,186,372,531,029,164,700,431,229,955,116,446,125,418,461,
380,490,799,794,407,604,253,918,145,360,813,725,212,111,137,751,098,973,473,
251,819,395,012,394,109,353,936,302,323,774,744,863,770,620,192,904,682,271,
459,353,827,350,744,909,604,350,314,821,817,829,327,501,311,521,418,960,224,
063,648,096,963,518,311,117,104,889,242,471,327,528,680,855,164,185,895,275,
841,715,632,681,891,684,269,582,251,785,131,707,729,247,045,489,956,079,755,
288,955,187,349,263,084,685,352,986,179,635,822,848,119,615,991,916,259,019,
474,767,198,915,719,097,633,333,368,817,798,420,659,293,586,365,022,253,074,
984,835,700,097,336,197,558,204,015,674,337,589,038,570,090,426,876,749,836,
690,291,634,648,179,243,481,597,252,505,066,933,503,720,824,741,022,986,935,
734,503,217,126,827,998,970,440,179,594,070,070,069,705,112,762,669,875,629,
438,413,135,484,007,579,579,018,764,957,748,636,398,781,499,280,746,641,470,
649,306,667,906,147,708,194,537,865,548,888,938,075,747,385,126,723,506,405,
844,921,227,574,145,019,533,759,845,918,121,549,877,162,010,828,578,187,046,
173,871,819,479,796,538,894,455,553,472,640,313,806,131,912,175,853,281,341,
308,365,083,500,476,622,572,795,656,203,772,429,648,546,713,361,012,610,723,
327,282,135,985,214,575,894,350,174,772,860,731,406,673,266,170,606,557,383,
869,855,343,635,108,021,386,377,864,414,343,115,259,640,114,486,860,768,419,
583,639,503,434,442,458,030,168,857,409,228,884,055,851,891,342,673,753,845,
836,952,971,823,311,489,888,893,657,601,000,488,280,998,970,249,883,176,039,
066,144,443,910,515,427,202,664,418,505,266,173,951,972,817,286,042,024,203,
772,800,866,760,010,247,525,146,505,682,958,045,202,567,220,040,837,936,818,
515,769,761,183,963,023,879,161,141,108,704,537,079,877,167,888,102,968,788,
494,258,134,375,652,186,846,864,816,528,282,423,099,433,315,021,147,918,887,
800,811,019,427,165,518,910,741,235,808,170,462,076,148,437,987,906,004,317,
464,208,833,412,621,603,878,033,131,352,756,393,248,781,134,816,163,252,769,
916,143,089,681,329,708,497,617,687,956,202,138,433,776,486,265,590,064,011,
013,873,673,419,963,082,478,707,217,211,416,958,717,551,853,231,355,255,942,
545,647,297,746,261,356,770,795,204,061,102,507,007,044,844,905,646,583,509,
594,325,595,333,814,615,665,354,641,189,308,150,573,046,334,248,292,570,598,
091,596,913,302,939,624,421,860,158,141,444,901,883,233,510,179,716,710,156,
047,444,599,918,691,724,822,348,104,996,951,139,966,689,016,008,160,969,819,
837,595,815,543,967,681,892,196,356,735,994,031,770,608,075,590,765,107,315,
827,594,303,869,070,675,186,267,766,870,639,826,548,917,672,943,210,169,144,
545,380,628,242,465,448,066,380,614,981,324,049,578,520,381,777,530,816,876,
436,288,063,202,227,392,173,937,678,476,367,756,920,677,641,374,389,156,228,
527,313,847,747,802,525,313,463,842,190,832,282,369,831,305,322,822,725,264,
052,436,892,131,139,640,160,799,599,354,130,304,207,688,144,942,639,019,867,
512,875,501,658,673,631,944,457,545,871,159,491,228,568,327,129,986,073,220,
984,901,281,093,943,082,406,116,556,833,683,856,126,382,080,030,144,281,801,
656,445,312,828,144,126,577,116,778,150,536,789,860,974,155,178,879,334,179,
448,567,634,907,689,886,066,283,498,346,598,496,836,791,781,064,738,755,305,
161,368,278,316,264,406,390,829,277,556,564,016,477,034,402,114,887,275,421,
991,640,752,496,619,634,005,094,529,337,654,097,406,169,166,094,239,558,902,
086,364,539,295,666,720,029,775,158,959,476,256,259,712,825,764,601,715,588,
129,695,701,143,603,392,603,246,604,247,812,019,191,256,742,958,468,303,077,
173,906,335,930,967,259,801,367,105,808,155,468,481,493,566,240,686,997,228,
635,379,147,114,149,082,417,627,757,747,293,640,399,431,019,582,206,059,189,
472,542,498,446,054,511,483,949,122,952,947,033,470,848,593,972,450,523,890,
423,176,313,698,544,611,793,762,934,026,052,047,784,411,923,181,611,644,844,
014,526,875,276,664,091,206,411,983,245,747,700,372,849,725,228,409,196,758,
524,259,004,257,445,751,669,378,306,612,757,819,610,742,240,125,307,462,916,
242,802,336,434,006,337,279,867,014,788,547,968,719,056,359,877,348,296,945,
421,818,026,519,981,090,850,978,612,839,635,095,604,193,540,772,200,533,608,
310,455,508,100,779,233,604,793,120,213,058,693,321,768,559,269,252,878,079,
721,598,514,237,897,896,792,724,453,079,534,812,498,348,180,205,708,983,116,
349,579,474,608,180,069,169,944,199,029,009,739,928,471,680,490,099,169,145,
732,805,297,688,419,252,414,514,094,530,414,973,732,434,215,983,193,277,297,
587,929,592,387,968,754,607,400,501,944,203,171,176,861,125,149,081,268,514,
143,482,385,278,691,408,600,044,572,219,278,939,708,803,497,800,160,006,291,
607,769,074,845,679,492,046,830,366,909,022,269,284,928,634,067,006,090,192,
635,112,390,879,749,364,582,488,048,077,132,818,775,225,854,848,590,559,768,
601,049,781,232,327,929,934,915,732,969,120,781,782,834,299,900,447,717,763,
587,305,072,756,569,032,731,596,293,073,673,138,253,668,752,755,226,939,853,
808,800,711,121,645,962,670,571,056,574,054,701,876,916,030,038,896,957,828,
760,694,179,239,601,972,040,401,798,496,068,472,730,114,184,367,445,661,875,
844,446,296,412,965,143,078,562,653,082,205,020,177,269,767,575,227,803,491,
034,233,774,440,446,352,635,506,043,178,084,385,998,213,616,531,396,219,774,
977,863,077,995,148,263,652,161,535,017,035,364,996,015,129,740,337,113,390,
749,293,706,670,967,190,609,586,559,030,044,961,863,266,143,402,701,074,245,
287,955,276,565,146,529,409,033,785,769,194,417,626,572,039,382,524,885,445,
689,937,705,962,597,971,719,785,591,154,164,995,454,536,424,102,475,801,956,
893,727,500,873,303,841,969,819,583,883,554,315,055,988,411,049,798,936,653,
797,829,224,272,441,657,588,550,269,201,441,403,811,460,703,352,474,917,460,
420,172,674,673,280,055,863,117,268,517,989,209,303,762,533,780,007,106,629,
354,129,080,209,916,818,546,277,422,086,881,558,741,580,360,093,848,251,932,
809,265,927,275,778,119,932,904,662,356,125,490,256,995,988,387,715,680,152,
325,921,701,131,079,561,010,022,828,007,375,101,757,161,218,645,168,770,490,
418,561,367,056,985,161,868,981,054,695,330,027,739,185,521,287,552,356,186,
219,065,867,488,332,016,770,350,836,968,877,286,528,619,115,670,360,299,695,
593,377,715,625,888,156,759,690,856,339,302,193,666,884,564,707,280,032,862,
739,940,816,624,993,544,838,309,310,205,498,657,455,844,868,359,022,184,657,
851,636,839,555,119,575,016,214,308,549,889,261,442,183,026,857,069,319,615,
240,025,437,374,704,312,172,051,715,146,481,761,231,527,783,121,182,724,892,
201,060,424,046,788,588,337,457,873,931,842,861,798,719,272,568,764,417,320,
381,072,913,123,979,316,695,834,943,646,554,477,057,378,007,127,158,096,383,
030,290,614,375,458,643,070,093,976,120,466,736,876,485,351,859,598,432,482,
341,727,067,502,248,217,397,026,517,376,909,181,947,147,853,021,784,476,019,
430,315,914,462,820,605,968,263,121,464,256,256,587,071,502,357,206,205,914,
220,969,055,268,297,469,534,817,029,982,324,536,558,593,184,529,019,308,773,
348,898,622,412,804,971,695,512,579,580,725,463,317,726,476,443,463,578,766,
232,340,297,566,066,577,874,393,853,867,774,034,477,165,800,286,265,240,538,
091,074,711,525,411,990,986,127,840,234,641,035,853,009,591,675,768,475,075,
142,903,439,326,434,333,193,812,188,365,704,330,942,866,881,840,692,741,471,
309,074,336,514,377,913,713,694,454,105,195,937,995,425,276,257,721,141,535,
790,939,693,379,808,947,023,657,489,745,274,200,667,528,772,184,146,461,452,
908,389,380,601,784,014,148,690,823,035,451,781,833,493,344,315,144,693,697,
547,339,051,691,635,465,904,646,879,419,030,604,441,894,061,398,106,971,086,
314,092,053,027,205,312,101,638,648,779,831,907,003,601,191,139,520,485,001,
916,539,652,895,579,744,108,238,248,890,325,997,309,122,893,747,469,796,134,
582,116,993,165,454,184,524,604,316,043,843,987,944,675,642,072,267,402,883,
096,707,732,157,155,351,315,093,373,822,208,573,335,187,973,057,765,244,059,
699,748,415,549,862,312,087,891,930,479,555,218,107,862,735,246,194,800,885,
408,188,153,685,427,082,403,690,653,682,127,866,434,189,848,257,178,890,863,
664,077,393,070,439,125,758,132,518,365,274,306,033,789,951,113,161,425,220,
626,502,236,704,469,345,852,128,320,509,741,308,237,617,366,079,997,425,651,
376,242,110,338,061,714,209,137,638,358,687,915,152,915,122,995,447,347,869,
926,374,485,073,910,474,797,252,237,368,858,533,391,568,103,108,777,637,925,
184,878,184,540,945,479,751,561,640,952,252,682,547,217,332,384,076,003,142,
205,296,342,847,929,270,889,070,005,481,471,992,776,827,182,892,918,122,002,
516,115,230,435,570,303,623,537,281,491,443,696,862,976,831,330,557,018,636,
907,528,141,734,596,737,329,016,286,664,294,553,687,378,934,437,457,950,715,
042,967,844,555,549,827,935,704,450,109,786,582,538,882,474,743,557,904,008,
022,093,056,443,358,410,016,318,916,294,775,006,694,065,255,879,097,338,915,
564,578,744,726,139,608,294,375,509,468,943,564,667,038,701,024,695,442,485,
854,172,127,990,925,357,967,795,832,665,845,215,244,432,697,520,329,959,289,
949,505,063,873,173,035,959,657,670,484,444,960,552,735,062,029,253,506,309,
686,313,718,297,195,397,407,932,301,357,920,472,698,086,041,786,592,805,248,
468,020,360,381,945,012,715,361,268,439,137,871,954,996,534,027,929,837,106,
237,445,697,025,502,417,088,260,086,790,767,911,354,075,695,267,899,146,198,
438,703,584,655,042,027,266,124,563,969,088,702,721,674,974,145,476,293,193,
768,801,247,878,060,652,412,131,137,665,916,294,324,737,265,826,184,399,562,
128,133,819,757,647,475,939,295,986,102,638,059,278,465,961,958,571,874,136,
417,454,270,794,089,166,445,202,563,574,584,219,140,763,747,237,428,444,694,
875,905,578,741,902,842,677,626,230,012,951,395,951,952,819,966,490,982,829,
511,022,934,410,586,106,146,494,411,543,758,504,032,134,122,321,999,160,951,
078,958,578,396,461,101,349,767,174,006,392,089,634,276,590,374,087,060,007,
073,508,688,838,800,959,602,946,836,060,246,331,688,517,904,871,202,771,156,
842,603,207,271,612,978,839,402,057,916,542,015,805,561,566,216,723,952,358,
762,271,836,962,088,799,069,848,591,966,660,383,336,891,469,498,101,783,201,
417,336,204,263,113,081,485,753,582,571,550,343,138,838,656,115,551,730,140,
593,564,002,088,624,926,319,412,578,045,204,062,991,278,942,050,921,443,332,
555,742,747,665,321,376,436,238,696,955,077,109,921,193,847,933,114,884,525,
137,510,313,306,387,535,781,948,239,469,853,670,137,273,031,600,462,409,306,
051,693,163,578,362,845,330,150,678,900,684,866,660,048,623,251,693,049,996,
260,877,499,230,414,068,901,666,177,058,095,290,503,285,840,748,688,757,856,
413,815,260,861,466,726,930,993,814,292,228,196,614,853,687,455,234,993,037,
441,550,757,937,670,424,337,250,097,523,855,699,243,072,250,278,372,106,738,
210,944,305,680,521,814,623,114,633,371,415,344,575,431,742,655,702,142,309,
338,146,331,502,796,564,868,166,635,830,003,110,725,411,089,216,107,344,034,
784,682,494,279,705,407,233,394,341,393,875,962,170,902,999,764,183,067,542,
116,575,008,366,424,544,867,749,987,245,747,424,846,004,760,473,337,132,423,
131,744,966,442,159,969,825,036,070,547,212,683,961,326,199,592,230,115,035,
724,500,260,440,491,675,701,214,242,389,330,672,358,893,256,537,723,366,964,
151,471,272,552,821,198,145,789,233,339,213,328,203,176,767,295,188,909,261,
001,467,936,599,302,116,020,806,833,416,019,200,804,360,762,480,409,341,184,
791,106,995,254,406,946,283,314,670,743,650,825,719,934,408,839,276,640,769,
911,533,600,114,620,095,199,581,995,841,987,938,333,544,012,694,310,968,618,
064,013,449,997,489,491,263,915,090,396,662,021,718,299,058,185,463,838,272,
442,296,353,739,815,449,436,965,524,657,256,127,026,320,942,301,415,910,020,
511,060,888,923,121,444,053,447,993,198,693,248,087,692,455,213,228,252,234,
670,107,359,024,050,582,232,791,204,808,444,950,224,811,813,843,897,049,161,
362,452,076,115,635,067,607,055,483,780,946,216,292,318,196,948,161,706,361,
388,180,686,850,694,779,372,534,091,603,476,708,988,830,285,733,312,071,270,
936,982,053,293,552,268,433,900,690,284,708,140,164,152,378,489,646,690,699,
258,478,832,669,906,824,772,669,624,340,082,828,969,645,121,715,465,382,399,
290,587,062,130,382,124,622,238,475,158,712,846,033,462,175,259,700,144,230,
783,105,620,746,133,885,664,728,814,155,479,026,064,521,034,943,388,470,405,
111,831,276,264,827,620,700,574,647,616,789,977,818,914,688,168,312,360,085,
993,101,091,134,611,760,690,931,117,224,897,610,861,816,712,209,454,140,774,
677,604,821,455,114,925,882,220,432,482,413,062,942,286,001,628,410,508,277,
439,316,452,487,139,819,937,941,667,515,963,883,200,997,687,256,208,032,801,
590,149,698,269,851,566,287,516,086,793,405,995,719,731,605,496,228,761,908,
525,374,628,744,642,035,141,392,226,798,805,744,514,031,788,528,750,763,078,
343,820,876,149,321,005,375,227,022,034,224,735,119,563,499,035,362,486,609,
646,264,791,790,075,169,718,374,250,747,139,266,647,149,289,193,099,951,198,
384,714,528,407,336,300,540,492,429,177,237,551,532,792,757,780,638,636,428,
268,595,736,438,553,222,650,052,114,631,896,648,649,878,245,756,038,648,380,
874,302,914,405,889,876,988,097,956,914,356,899,685,039,482,771,166,565,020,
969,338,568,576,368,048,693,508,685,158,161,169,869,227,706,409,203,600,057,
020,212,844,723,890,351,956,645,571,136,211,814,652,605,450,602,669,312,845,
343,379,499,310,696,373,784,912,184,432,924,925,226,847,346,754,234,797,537,
130,092,674,371,600,440,799,812,461,562,965,996,732,093,880,332,651,503,090,
557,286,273,407,397,661,347,970,859,010,565,006,819,714,723,125,135,611,384,
504,357,129,254,781,846,925,502,524,267,630,866,978,983,195,047,673,168,132,
450,960,080,358,333,466,824,469,695,895,612,192,581,614,691,231,737,705,420,
274,240,406,151,818,330,581,660,248,827,915,879,374,862,170,065,297,103,976,
335,028,644,195,128,865,918,548,095,475,629,376,342,026,349,780,967,935,324,
924,105,776,957,997,566,940,496,262,046,143,338,765,579,832,777,556,880,774,
846,589,811,942,129,957,791,476,490,156,185,535,520,845,217,057,333,283,956,
834,549,093,322,550,442,974,881,122,465,388,497,300,082,755,870,550,305,585,
720,245,539,305,722,907,077,226,232,886,192,307,559,914,140,448,109,103,748,
555,856,376,829,256,813,865,502,899,449,944,232,896,913,169,080,661,397,571,
789,660,422,866,653,715,790,607,944,014,148,464,006,773,581,366,730,364,429,
907,524,954,355,824,120,852,044,992,756,842,062,821,209,102,337,243,296,860,
610,146,619,452,111,154,379,390,329,891,696,830,252,196,185,523,469,746,266,
798,574,311,037,156,203,083,921,589,514,261,141,100,295,346,838,188,293,684,
326,231,695,632,197,912,515,834,668,987,057,399,049,332,153,117,758,290,872,
669,659,396,552,449,326,149,678,664,333,625,728,612,942,057,176,923,396,370,
734,749,626,933,221,584,636,419,391,558,371,380,113,519,033,607,252,280,035,
246,379,686,743,815,608,281,834,021,681,074,854,534,834,319,937,717,855,776,
013,487,685,403,018,495,765,918,064,045,568,050,254,885,308,493,655,578,334,
938,128,040,961,166,754,022,198,279,715,009,815,438,681,332,968,849,396,799,
753,194,002,434,256,387,393,449,664,205,712,541,676,650,084,044,023,253,528,
856,356,996,742,888,886,087,004,547,639,481,577,802,818,291,261,186,627,536,
077,498,100,691,184,152,378,038,413,483,602,313,291,287,585,943,634,189,547,
858,965,749,520,561,425,735,806,223,615,449,835,999,432,578,808,530,388,240,
091,223,596,605,798,161,493,823,920,665,790,327,667,086,233,116,734,492,161,
675,310,263,260,969,034,165,807,438,274,398,450,265,629,133,859,981,184,397,
624,746,493,896,028,236,707,927,921,219,775,779,849,159,754,924,835,569,339,
843,293,617,533,856,701,704,602,041,362,433,082,999,936,897,241,816,294,681,
185,893,963,815,215,201,117,952,918,366,358,192,686,011,321,375,894,883,824,
497,442,666,093,610,225,739,182,131,546,228,235,798,979,043,667,267,547,425,
512,778,448,303,099,917,780,398,298,545,968,695,101,842,932,207,481,532,353,
161,748,662,858,668,579,457,416,461,700,318,157,998,716,648,787,056,847,410,
337,129,244,382,721,220,447,303,855,736,808,191,453,241,228,599,176,470,990,
847,877,268,811,749,562,240,305,617,249,324,242,196,924,431,192,757,820,284,
666,520,683,251,437,905,647,285,022,254,548,092,748,602,742,877,284,342,383,
104,119,949,552,279,109,027,401,795,150,433,386,818,420,609,788,241,923,835,
463,158,392,247,795,170,974,453,794,117,881,363,910,785,714,298,192,306,362,
679,500,484,220,954,993,576,877,814,421,605,847,483,758,810,489,857,468,309,
090,587,693,021,510,707,801,584,872,034,080,737,185,925,315,485,528,308,193,
512,805,985,855,446,045,609,020,774,041,121,108,879,296,927,039,330,292,457,
789,956,951,103,503,429,581,167,964,102,313,417,236,950,729,016,028,180,084,
644,230,075,028,749,733,592,444,838,002,789,122,522,725,215,782,185,564,294,
251,374,165,132,176,957,102,696,154,058,100,617,750,581,910,843,286,458,426,
594,688,726,028,820,910,435,029,286,275,362,888,833,233,139,404,435,050,286,
223,924,230,761,815,341,628,605,683,424,287,033,643,021,256,907,806,191,490,
674,321,099,814,702,169,420,909,842,671,854,678,732,222,294,807,108,703,770,
983,123,224,126,003,554,227,567,653,315,912,050,976,867,356,108,488,394,921,
238,618,993,608,834,814,817,387,458,517,245,481,827,716,753,639,157,306,099,
574,905,014,761,268,667,512,968,429,852,492,963,160,652,062,794,812,296,855,
594,587,643,028,154,135,579,804,830,735,559,572,075,870,404,312,423,829,980,
523,020,479,181,786,545,562,896,465,879,588,086,064,425,057,142,672,678,155,
251,067,744,309,633,783,633,888,772,929,270,917,935,710,836,469,921,214,107,
560,977,424,319,865,503,163,943,709,305,415,647,240,861,756,473,431,311,561,
939,763,990,992,460,853,365,312,234,588,810,194,380,914,027,781,211,206,140,
102,200,039,452,722,932,237,797,868,979,520,393,135,063,896,922,211,012,240,
236,178,362,171,266,842,337,408,531,551,766,258,548,409,926,445,518,934,307,
813,113,634,500,905,832,709,803,277,107,524,423,323,058,143,265,402,831,716,
499,144,104,988,410,913,087,420,742,510,266,041,608,741,948,128,498,145,324,
217,747,330,555,148,323,692,245,362,764,667,654,345,391,693,746,781,956,142,
737,945,829,347,102,403,755,762,646,860,192,359,184,008,898,979,140,358,556,
460,167,425,036,718,106,022,766,798,023,955,019,848,631,816,315,419,911,261,
306,027,571,968,432,205,829,712,859,953,415,365,123,521,371,340,729,605,228,
489,693,632,655,260,130,784,605,608,956,206,277,138,165,199,796,655,379,231,
943,130,922,413,155,452,101,825,940,622,664,189,179,018,904,462,999,530,880,
569,477,399,139,877,047,575,679,012,991,800,966,268,057,233,410,337,097,943,
934,854,682,194,935,112,605,702,525,831,969,190,848,127,074,734,086,777,332,
004,303,146,615,662,290,435,538,933,159,342,729,941,151,639,760,466,323,127,
921,434,023,963,595,404,246,264,028,399,613,051,302,480,318,994,680,021,922,
949,277,326,864,738,894,863,952,520,294,453,366,598,151,020,514,489,492,162,
457,054,837,284,311,580,261,247,652,338,803,173,746,044,476,137,832,816,926,
394,331,507,508,852,557,549,570,304,346,363,609,766,789,132,850,611,082,809,
267,020,875,480,567,398,516,794,474,073,113,262,612,701,821,091,314,848,211,
530,030,691,472,797,203,627,582,661,827,673,121,727,492,514,073,775,918,454,
869,302,072,909,763,450,546,858,009,069,470,838,581,669,864,562,585,048,254,
947,642,512,511,288,498,974,153,359,755,401,677,852,807,644,271,282,444,889,
175,713,021,342,373,228,453,676,804,010,883,873,726,183,354,571,078,922,657,
506,949,956,581,077,549,621,129,191,947,397,509,448,675,548,444,437,783,321,
037,627,413,761,411,964,510,405,960,026,079,641,369,679,629,467,613,525,101,
580,113,002,053,527,344,053,554,583,835,176,782,813,168,482,803,763,551,291,
814,381,538,926,599,251,072,260,944,262,819,576,966,951,114,051,137,338,308,
512,670,605,372,247,746,685,463,407,405,566,901,348,672,119,187,938,364,637,
821,461,010,460,746,343,839,145,376,859,671,211,229,815,278,138,614,439,882,
954,717,002,815,570,377,985,752,767,140,095,342,354,613,168,512,481,424,472,
856,198,370,478,288,409,305,689,907,541,612,478,143,920,287,675,612,884,429,
090,171,034,901,794,233,900,932,277,792,812,892,256,235,986,909,098,517,267,
979,088,119,532,173,907,572,922,847,326,484,104,284,574,669,024,935,733,805,
689,981,643,184,273,772,764,356,857,511,081,101,438,725,206,920,682,855,960,
350,322,441,211,343,514,846,074,293,443,757,422,721,227,637,001,825,625,852,
112,354,258,370,220,044,957,374,808,561,268,592,654,109,564,072,019,238,878,
460,322,632,591,797,145,551,300,702,971,491,393,782,069,106,515,524,577,487,
179,688,119,431,839,475,402,480,670,393,785,295,253,626,424,502,944,105,574,
570,373,921,572,535,148,483,740,114,935,029,659,743,248,065,940,721,546,523,
026,118,785,505,211,041,387,051,327,879,419,937,516,173,301,909,835,032,289,
848,055,486,158,860,364,339,713,481,389,163,029,359,437,077,039,106,920,480,
559,678,216,002,469,727,527,481,999,225,976,530,245,315,769,193,595,284,703,
754,475,051,875,113,052,038,088,699,844,861,435,571,615,725,797,119,361,729,
316,834,244,472,112,040,354,125,240,503,352,968,555,700,984,814,692,363,139,
197,187,947,834,412,695,174,181,087,186,674,783,910,914,509,493,761,373,096,
833,984,770,119,908,789,198,187,059,698,384,984,023,050,865,093,265,430,319,
757,190,242,994,226,841,570,519,834,450,609,467,954,925,720,496,223,530,172,
527,953,767,808,449,710,117,381,601,950,338,848,753,466,571,774,431,524,947,
505,374,042,186,012,224,157,546,217,773,502,661,628,611,887,850,587,148,281,
095,146,194,713,453,064,257,773,302,680,256,953,437,505,632,533,182,236,265,
123,459,982,400,588,450,653,271,044,794,044,373,179,366,774,507,920,068,441,
785,986,311,735,824,102,238,723,284,125,495,203,038,216,422,461,294,275,811,
614,513,383,816,325,898,667,218,172,566,767,565,548,680,146,059,411,902,510,
203,746,266,964,267,074,397,831,843,342,644,063,095,887,933,829,691,554,321,
986,216,083,389,821,467,024,443,646,118,293,027,486,235,454,927,222,131,789,
182,397,162,873,390,199,032,135,399,529,999,056,779,222,533,858,358,713,175,
658,262,441,066,247,290,736,028,577,232,891,626,375,611,276,057,899,857,397,
017,824,038,851,480,676,579,473,124,655,371,856,258,988,991,158,585,404,259,
211,643,788,114,195,287,210,701,106,220,671,082,177,628,979,006,739,049,451,
192,074,470,539,385,647,633,253,228,604,998,441,601,628,025,657,486,550,571,
664,616,741,422,640,149,974,863,705,002,027,862,751,196,926,384,634,953,761,
216,242,265,071,714,143,305,611,875,192,976,869,083,191,943,524,608,432,427,
119,273,857,341,270,982,274,456,862,459,452,838,416,669,442,690,773,778,384,
781,763,755,492,179,468,023,104,954,960,700,927,891,446,692,158,650,588,277,
308,377,927,875,294,468,618,892,746,437,788,920,133,674,736,564,884,506,304,
815,384,480,171,649,039,562,215,128,151,971,990,470,854,608,075,113,678,182,
333,491,284,199,522,709,677,447,923,905,054,047,409,032,818,348,600,686,473,
443,925,737,663,478,357,616,255,500,357,489,898,954,300,082,222,348,857,763,
751,795,201,968,473,616,047,449,527,531,917,952,953,508,446,766,530,115,197,
029,893,624,923,640,042,219,606,363,161,676,535,302,475,368,781,456,880,626,
933,965,248,966,713,130,520,126,271,933,586,235,277,246,379,165,356,104,279,
310,106,554,081,332,341,223,118,602,838,075,366,640,717,298,216,393,227,364,
841,791,570,049,249,344,391,369,499,684,105,686,756,440,120,839,977,381,368,
339,978,787,053,915,544,563,158,387,447,711,264,643,961,498,215,892,620,951,
674,043,708,544,332,995,445,149,262,678,385,625,489,508,191,402,233,717,864,
676,950,331,374,784,512,474,930,941,266,556,117,041,965,782,215,081,411,557,
686,235,413,243,772,770,239,866,723,136,400,542,218,862,153,729,312,354,049,
893,582,060,600,052,593,269,617,742,320,682,840,186,482,123,344,208,950,338,
002,058,676,571,100,874,258,538,586,287,131,375,575,549,639,933,717,470,974,
778,031,318,147,361,637,975,808,504,466,688,005,746,063,758,187,256,378,296,
013,717,389,756,566,071,857,810,399,427,061,738,532,346,130,354,162,230,359,
519,975,670,279,296,428,635,484,399,941,538,994,680,408,972,873,589,449,030,
294,501,927,405,488,933,516,914,472,986,964,414,960,216,754,941,652,029,227,
897,919,581,914,198,520,415,112,606,293,467,742,605,041,920,208,286,097,042,
322,126,410,200,000,275,637,019,052,030,953,035,468,684,306,790,034,260,782,
633,825,933,812,034,217,697,008,195,638,241,897,252,854,375,410,398,045,542,
017,937,927,665,235,584,872,605,686,996,125,953,962,990,098,925,323,502,686,
529,356,195,046,014,751,676,980,298,732,329,741,088,475,232,001,067,040,728,
061,334,148,889,808,264,669,190,643,853,205,539,987,734,902,659,398,526,348,
572,839,341,710,956,566,573,073,747,174,432,990,029,734,030,335,575,474,824,
131,807,938,387,723,164,749,080,217,180,222,902,222,998,634,147,373,018,518,
475,899,843,693,395,353,592,921,779,889,811,181,520,107,169,244,276,568,805,
549,944,180,335,416,322,671,801,670,643,328,938,894,252,727,600,778,630,174,
413,575,773,557,333,781,282,811,866,830,404,759,752,394,739,727,138,060,226,
658,864,023,843,933,486,722,189,000,545,495,297,979,627,316,768,726,642,719,
125,836,402,104,351,351,116,093,247,738,748,919,535,006,086,123,834,652,294,
309,224,256,871,741,780,718,460,496,856,066,000,618,283,036,941,736,276,176,
460,045,444,854,366,622,420,518,471,787,484,148,957,695,889,808,941,894,555,
021,249,008,364,032,124,373,238,586,734,281,383,549,280,351,273,959,018,036,
807,792,596,944,194,169,571,586,596,039,598,589,395,661,032,421,018,706,886,
769,136,830,814,117,650,243,256,680,658,456,073,364,020,734,591,041,601,238,
362,383,194,684,485,057,921,325,505,726,436,218,841,224,992,966,791,105,158,
637,753,762,729,918,343,737,628,431,577,926,645,295,572,248,560,751,523,713,
667,571,021,526,839,793,866,978,425,810,024,627,271,815,580,235,756,477,118,
217,933,192,667,518,092,902,977,138,633,825,717,550,579,101,214,142,482,910,
762,685,543,536,877,721,585,968,669,059,588,368,718,721,965,637,944,012,377,
902,254,719,187,221,380,620,665,216,950,744,420,368,363,774,909,649,236,183,
164,804,619,759,193,087,892,378,506,356,628,503,367,556,313,229,143,758,172,
676,413,554,636,334,864,883,370,534,415,726,105,128,105,116,615,048,926,922,
505,394,190,301,169,856,362,913,720,588,009,716,549,250,632,538,694,635,637,
579,651,155,394,996,818,482,518,615,843,230,974,024,428,924,978,988,774,982,
515,550,873,186,653,627,439,155,446,737,306,930,802,883,952,317,590,562,125,
446,283,982,756,366,450,359,095,312,373,281,435,877,259,131,376,399,274,288,
213,052,401,273,406,776,419,274,469,800,998,366,303,766,705,109,811,721,828,
132,700,159,995,770,501,839,545,771,485,661,614,473,522,492,372,852,755,932,
818,194,962,672,758,170,945,225,820,904,551,198,786,798,183,633,183,719,191,
925,369,881,393,846,548,548,300,982,913,627,100,584,296,111,401,325,239,263,
323,824,337,925,072,990,557,938,241,564,875,219,363,215,340,468,577,629,315,
638,422,191,152,476,937,361,147,985,465,483,346,364,608,112,208,016,761,720,
570,982,211,381,978,123,068,103,152,729,295,246,008,789,380,592,590,325,799,
656,085,501,678,965,241,546,225,100,672,190,593,831,519,072,279,653,181,084,
531,762,948,009,314,738,091,614,154,759,432,174,539,884,867,019,249,803,471,
982,993,020,557,182,079,035,253,129,458,005,034,342,093,548,874,275,040,798,
955,174,543,281,769,694,780,092,375,518,793,848,061,082,453,396,777,830,204,
870,228,400,159,892,415,660,095,918,989,545,314,909,252,327,060,449,038,718,
508,888,550,272,466,423,231,307,567,304,359,622,934,169,787,781,229,015,214,
033,005,315,443,641,296,568,358,962,972,883,896,136,505,219,440,542,752,530,
112,846,100,805,354,938,368,458,773,716,952,337,915,537,810,942,193,757,772,
072,843,886,887,283,487,578,132,576,918,774,268,854,231,412,276,671,964,530,
743,782,572,827,472,803,312,989,525,477,482,963,097,054,847,732,863,103,086,
443,767,090,609,998,521,500,347,264,980,984,855,837,468,355,978,032,905,055,
673,630,489,006,318,017,812,210,284,680,664,730,331,409,136,802,261,112,117,
194,084,243,692,434,805,577,715,389,650,176,037,103,260,973,416,079,705,860,
715,859,786,216,831,637,481,645,712,212,821,891,070,254,818,776,096,100,384,
767,591,321,217,677,700,115,930,246,661,875,247,692,855,371,876,399,922,155,
523,352,196,783,297,189,248,384,194,625,037,105,733,479,596,959,401,070,462,
865,426,284,756,276,529,022,069,929,594,880,327,312,547,131,956,981,401,334,
189,239,881,200,913,215,359,476,875,155,461,457,163,756,891,225,207,217,991,
813,033,959,046,227,704,946,851,991,018,403,306,296,132,936,787,335,558,277,
556,434,734,038,061,432,176,638,742,635,494,605,334,781,680,645,743,607,065,
352,327,334,647,888,651,922,698,720,586,253,423,575,353,165,554,096,866,115,
326,255,253,683,940,931,318,347,827,080,005,802,249,351,949,837,618,262,630,
836,720,356,631,373,698,052,591,788,692,871,219,247,857,249,533,372,798,865,
952,134,552,322,710,667,968,709,056,802,875,500,676,023,492,502,185,875,256,
352,070,436,655,897,739,938,310,009,174,235,594,379,795,120,635,036,269,727,
890,141,948,055,982,633,516,823,187,897,903,784,238,040,968,353,446,496,943,
774,689,741,657,464,405,031,302,779,515,481,372,633,365,781,995,163,509,529,
701,542,969,452,595,072,154,199,368,163,175,220,291,695,957,386,261,184,942,
779,385,071,144,557,968,340,304,591,066,630,424,250,734,325,800,212,523,604,
085,672,965,697,518,194,278,921,170,297,380,079,884,451,964,391,434,518,483,
248,631,521,372,078,894,766,564,109,059,541,621,706,399,119,528,942,191,823,
644,983,463,030,432,549,704,538,768,689,208,863,924,891,921,419,380,152,467,
118,018,521,176,695,965,085,021,571,120,145,749,357,052,876,462,432,018,379,
241,409,577,102,390,124,029,339,739,764,679,727,555,896,215,735,355,349,747,
083,093,104,520,290,285,282,617,185,186,392,136,858,156,133,930,124,647,945,
147,031,389,911,011,282,367,431,267,264,240,172,030,119,948,508,570,794,523,
151,905,411,763,903,823,399,090,114,456,945,270,163,732,024,869,892,865,040,
595,052,434,511,679,801,360,233,300,475,070,945,791,329,860,241,718,988,428,
239,916,046,867,902,036,803,793,611,058,435,606,879,807,603,574,077,727,972,
423,285,275,987,721,085,367,954,315,526,747,004,544,168,245,530,731,979,593,
087,791,631,932,983,779,344,240,916,868,142,123,258,777,485,553,773,362,741,
479,991,810,528,764,336,615,203,212,229,356,220,476,501,734,762,901,700,319,
233,204,263,138,204,790,453,317,750,399,109,382,316,855,218,915,207,099,444,
939,583,744,723,478,138,593,726,214,174,326,016,091,133,810,523,649,362,321,
397,908,717,023,274,957,334,841,394,505,772,115,822,984,540,159,184,564,412,
061,276,343,971,735,974,390,924,603,937,681,144,029,340,021,899,505,708,083,
803,081,926,460,032,697,431,483,278,422,611,905,435,627,189,416,420,035,943,
061,775,046,257,230,382,783,604,429,635,363,155,226,833,839,245,025,570,619,
929,375,092,673,927,992,268,913,214,524,615,653,289,070,735,957,856,721,204,
180,324,640,982,442,341,266,629,315,015,308,723,994,088,336,474,972,503,067,
815,656,351,693,758,764,868,599,151,903,269,920,748,484,902,207,894,693,826,
486,033,334,301,119,972,627,800,887,658,824,277,391,348,585,723,251,211,014,
066,903,920,133,763,538,945,236,610,279,243,270,953,893,081,607,376,416,823,
303,485,745,593,572,232,592,392,222,259,026,893,079,189,940,767,430,900,547,
353,382,188,137,529,868,954,279,503,572,156,430,794,729,853,248,414,247,237,
949,361,746,641,786,341,165,855,640,059,333,190,987,637,207,325,836,924,605,
342,648,585,367,589,692,645,085,623,479,663,070,319,485,453,640,462,416,470,
268,663,354,494,726,979,110,486,276,561,196,390,052,075,397,488,902,128,438,
013,201,950,324,259,402,690,819,381,588,024,478,088,700,290,295,622,237,582,
947,395,317,431,767,739,269,037,083,365,100,069,808,306,693,160,062,374,151,
907,873,361,397,256,519,228,169,975,433,403,507,979,218,261,975,158,322,416,
512,293,870,504,585,014,748,902,960,871,444,021,046,781,756,640,081,482,613,
594,971,693,919,963,306,079,482,754,947,809,150,675,569,344,132,959,084,779,
505,352,400,011,081,491,800,273,831,349,997,334,657,627,653,580,321,384,660,
038,691,301,879,685,859,272,097,364,280,348,619,035,539,292,281,971,344,674,
361,353,894,535,828,559,058,085,433,360,988,641,813,604,772,294,773,817,281,
503,467,445,366,102,419,728,482,579,755,262,470,644,995,372,761,882,425,710,
823,875,034,527,599,794,291,497,881,500,090,365,643,080,933,462,030,475,496,
624,001,950,932,470,975,704,451,270,208,522,124,011,326,774,639,644,465,302,
472,947,843,327,334,626,055,199,484,871,211,774,566,361,110,240,269,683,364,
362,555,438,206,514,709,222,675,481,765,507,692,045,452,459,727,496,045,164,
901,647,315,562,597,495,215,892,064,339,163,337,164,736,210,482,901,498,240,
950,745,098,596,243,191,196,923,683,455,524,309,641,119,142,934,445,010,621,
855,652,893,336,910,375,322,781,166,840,835,252,818,145,076,745,458,938,636,
019,537,849,760,090,585,600,662,397,134,955,033,733,621,599,734,719,111,634,
263,753,670,127,483,377,679,703,627,940,403,243,098,662,025,005,457,264,731,
869,386,746,662,179,654,754,502,841,742,704,618,396,734,453,126,460,640,184,
596,391,066,080,913,016,202,511,050,150,731,725,080,588,944,384,482,290,868,
597,600,781,982,647,172,206,384,989,396,597,311,459,292,698,273,435,160,228,
923,493,414,896,035,662,193,203,757,050,932,008,692,553,828,431,950,572,705,
340,907,481,242,300,329,046,169,285,632,823,500,316,316,665,010,591,824,335,
700,521,893,091,049,583,894,485,751,579,621,001,245,549,684,623,585,818,633,
823,857,004,121,582,956,013,476,961,122,570,191,452,553,979,379,165,000,600,
979,292,171,608,201,777,540,784,249,731,147,906,765,447,922,834,679,197,217,
331,344,949,111,487,171,697,338,848,569,559,103,679,287,453,961,816,715,027,
194,476,633,342,021,303,803,626,933,547,404,158,950,035,890,574,224,563,710,
309,045,400,333,902,413,853,796,053,530,141,335,732,401,129,895,665,744,318,
925,619,597,164,541,737,569,965,911,834,432,484,256,572,019,776,642,647,246,
570,322,244,843,597,346,058,996,356,107,176,822,639,616,324,941,590,012,308,
605,539,125,807,777,280,698,261,828,418,139,107,681,378,415,521,950,195,233,
843,646,395,051,543,503,216,632,572,964,325,472,240,701,323,244,575,406,142,
120,695,654,213,330,206,886,855,318,458,968,575,681,168,287,103,050,626,507,
145,154,299,229,321,239,722,860,364,564,676,666,709,200,086,316,167,970,036,
219,700,722,375,408,116,565,495,893,461,584,057,519,212,978,516,300,625,315,
481,777,725,061,083,038,100,054,351,992,948,577,439,073,479,249,215,451,146,
138,478,959,230,751,037,920,851,614,048,608,543,018,143,738,182,637,466,632,
314,647,960,458,286,272,875,064,411,927,541,250,217,271,789,515,796,110,144,
418,737,634,845,262,652,284,562,611,913,743,054,438,430,634,077,639,377,013,
422,143,315,144,941,215,653,242,505,704,752,152,063,797,551,030,021,517,556,
876,434,213,608,737,145,686,980,480,800,120,381,906,749,453,814,682,889,714,
477,710,764,809,004,389,783,340,800,578,546,313,468,343,748,899,823,022,952,
153,832,519,221,358,942,995,198,567,626,754,284,143,036,306,391,519,344,308,
342,407,682,186,138,884,097,508,370,308,994,580,389,330,130,935,895,386,314,
557,495,906,749,478,046,257,160,173,840,554,247,308,083,509,654,670,882,273,
235,380,729,981,302,936,386,921,525,168,117,376,362,547,827,979,264,003,011,
600,027,170,872,985,832,828,029,393,325,204,294,926,072,309,892,549,331,321,
666,088,377,714,585,081,727,014,619,460,554,926,498,464,735,664,463,927,352,
575,643,664,181,303,914,002,500,995,663,365,837,647,261,269,598,043,976,419,
040,220,318,260,787,610,376,141,020,952,570,137,930,586,121,024,016,551,795,
416,883,461,975,287,471,589,498,492,015,294,118,958,393,669,501,106,317,226,
648,025,781,428,567,559,002,779,258,809,689,852,387,354,014,920,550,030,388,
142,881,119,283,336,180,139,317,549,089,558,032,452,478,010,405,922,053,289,
973,896,253,293,123,115,730,936,284,209,259,798,718,215,119,685,475,933,164,
344,671,249,550,138,399,473,485,896,659,195,634,877,849,761,817,537,979,748,
612,666,109,026,505,140,657,101,377,038,233,366,779,447,520,496,349,791,401,
322,721,389,917,326,364,809,436,308,661,860,233,095,311,081,314,864,397,649,
117,495,439,074,191,961,471,235,778,126,961,466,564,972,809,653,326,721,455,
239,724,279,855,751,234,007,738,461,965,521,126,215,292,897,969,694,931,212,
960,630,659,196,623,302,186,619,821,166,326,979,371,648,030,105,497,532,290,
801,147,771,281,407,178,647,416,509,004,871,856,535,389,646,364,973,037,893,
309,060,717,649,794,787,899,410,935,539,388,020,022,793,932,643,186,828,759,
530,127,837,267,887,018,534,890,123,538,060,602,606,925,693,457,232,763,970,
552,756,244,042,623,075,322,008,957,455,121,734,077,465,679,837,664,268,746,
690,308,246,729,814,818,614,147,223,167,902,293,772,643,556,464,118,516,534,
232,325,242,188,746,198,491,096,316,262,775,470,379,498,256,967,661,745,022,
139,105,218,482,898,058,728,170,995,023,342,867,030,890,377,348,877,939,560,
664,052,767,105,423,543,463,701,820,300,361,890,878,405,028,497,056,343,240,
832,284,545,829,770,411,358,747,070,404,100,213,858,161,138,384,046,595,238,
663,268,642,589,006,599,559,325,051,251,922,544,178,738,703,677,113,214,073,
187,920,147,437,749,928,053,351,141,140,296,038,440,693,490,422,973,375,820,
654,312,803,747,603,244,218,676,156,728,551,587,238,837,449,839,917,448,401,
510,935,236,842,752,226,574,929,793,015,817,356,429,591,607,460,282,364,373,
909,684,250,432,533,262,504,684,306,273,998,331,698,827,354,922,923,328,832,
164,654,031,390,281,046,454,142,094,918,420,795,893,909,717,672,155,016,013,
499,781,914,459,702,974,425,479,447,861,384,900,038,584,515,367,596,297,572,
391,836,963,778,821,431,884,853,987,305,623,174,441,716,021,881,410,900,765,
066,891,455,581,731,677,730,477,238,322,334,382,620,641,399,444,398,784,530,
285,599,406,707,522,135,374,026,946,755,381,892,448,890,204,293,688,852,573,
864,199,252,976,366,365,568,386,345,092,961,825,123,947,997,972,269,445,789,
465,683,227,909,790,911,574,244,476,200,502,786,564,164,092,320,222,005,061,
347,064,511,031,144,486,205,234,028,403,036,227,102,240,171,046,656,281,239,
511,253,824,123,413,478,163,557,214,084,230,289,640,460,693,174,068,168,709,
271,421,999,819,005,882,911,113,571,759,799,864,875,461,114,736,166,855,466,
726,039,654,775,749,542,203,672,448,812,981,758,921,932,441,563,283,798,565,
276,160,133,223,266,373,617,358,579,806,600,280,522,807,764,085,282,479,231,
489,822,305,137,674,027,369,452,890,562,251,227,608,467,901,199,512,146,134,
095,559,741,762,863,720,451,538,996,264,667,114,689,303,405,256,623,852,431,
348,353,819,988,395,168,645,442,550,049,431,623,977,921,062,680,797,337,667,
289,616,617,874,142,567,980,407,369,432,436,777,838,475,753,404,245,904,446,
285,746,765,144,684,957,988,597,323,864,314,851,575,904,502,529,328,876,354,
519,553,778,891,497,644,355,883,589,044,693,674,551,875,556,567,534,292,074,
340,153,605,672,234,594,217,899,865,082,020,260,726,911,467,633,853,633,790,
401,548,912,608,744,554,008,205,465,490,576,044,606,943,809,739,159,658,951,
943,303,115,609,075,361,596,774,772,479,610,675,773,410,467,427,921,772,744,
892,958,859,475,786,391,907,075,507,800,945,550,377,198,010,267,334,239,733,
046,215,307,196,559,328,634,809,153,100,808,544,546,032,583,794,226,788,204,
205,938,128,979,083,906,621,189,232,114,558,235,222,176,489,273,728,870,942,
437,419,994,302,888,608,526,420,947,887,610,629,591,266,405,879,273,576,612,
367,662,125,335,954,200,520,855,969,646,111,305,097,290,811,403,618,668,595,
193,577,006,611,385,528,993,637,283,512,290,315,489,828,401,450,394,853,897,
239,046,551,325,929,256,013,807,701,281,180,149,925,728,403,070,404,961,174,
100,610,072,692,904,367,921,545,127,631,469,841,832,523,771,922,158,311,186,
924,949,046,615,210,200,290,016,874,298,593,613,075,982,129,076,146,224,721,
460,707,111,545,142,602,925,981,693,960,032,315,316,980,288,975,402,528,064,
347,008,760,852,242,834,067,140,426,720,963,259,448,316,359,225,087,510,467,
162,865,198,137,220,538,213,433,988,465,420,951,839,469,160,394,707,240,734,
914,647,739,671,671,005,122,818,979,131,688,598,301,971,297,633,818,375,685,
330,194,062,970,441,246,286,137,494,046,107,161,610,386,377,062,688,053,559,
132,928,807,583,415,673,363,720,747,225,386,815,639,463,719,499,658,909,985,
868,804,805,192,777,587,957,475,962,151,130,621,000,992,264,151,004,711,154,
400,228,718,826,493,397,607,837,754,580,773,602,052,492,485,204,286,651,310,
086,224,776,053,241,225,143,675,950,641,987,274,273,839,648,688,815,901,776,
494,719,131,775,208,419,473,910,265,175,954,494,519,698,771,980,769,717,113,
540,643,937,002,761,105,652,798,326,657,112,878,339,035,093,742,941,820,251,
258,129,146,888,025,578,038,726,433,866,933,121,114,651,347,996,852,455,392,
177,788,749,592,251,968,865,809,340,246,007,854,273,263,007,422,460,794,306,
603,254,060,231,540,630,931,156,657,578,102,787,009,145,942,881,472,159,607,
228,552,291,276,147,434,665,726,479,228,647,864,876,669,881,879,940,953,638,
481,809,472,872,824,194,982,450,164,124,260,453,786,588,255,278,669,732,424,
086,315,539,528,222,424,617,912,166,572,175,277,046,040,259,562,358,303,841,
847,096,917,538,979,622,104,039,572,687,336,715,324,425,913,676,112,111,489,
662,062,657,906,457,236,898,117,278,032,066,448,597,589,537,532,024,610,836,
152,617,525,603,387,476,955,908,258,713,223,815,957,863,618,779,023,842,296,
424,463,023,019,091,859,569,311,446,982,611,994,102,585,686,588,469,839,392,
975,649,789,050,301,931,555,679,304,463,567,509,141,497,478,164,630,611,676,
433,491,203,502,314,580,991,959,224,705,884,399,695,653,230,075,570,882,228,
602,603,079,899,816,854,505,444,923,057,627,681,106,245,647,156,165,481,644,
115,700,915,912,004,854,018,964,625,886,342,473,043,282,127,664,158,820,948,
560,266,273,781,271,086,806,573,372,038,178,211,072,727,246,779,968,458,822,
142,928,610,375,844,389,289,684,084,867,262,148,185,540,906,694,022,836,603,
262,041,241,450,456,975,052,276,943,776,964,263,940,627,550,955,122,784,246,
002,138,097,766,914,578,390,592,385,596,820,233,016,643,716,178,563,358,925,
870,047,807,964,042,438,125,814,996,104,559,593,501,009,492,628,553,568,896,
118,413,738,765,490,681,952,283,247,296,465,703,722,806,529,477,377,805,761,
848,760,920,724,315,191,016,334,304,317,917,684,422,500,509,621,890,293,677,
504,038,283,470,891,337,443,943,205,690,011,515,350,656,959,550,650,015,364,
835,875,461,477,586,680,061,504,384,325,500,841,606,547,253,874,558,068,285,
034,272,193,615,576,788,638,943,190,348,980,101,097,429,721,308,215,277,884,
003,912,458,353,899,962,130,693,828,914,631,512,452,738,074,020,274,922,667,
724,204,441,347,169,870,355,665,430,862,474,608,806,009,121,613,950,675,594,
457,777,990,179,615,673,996,801,796,249,751,429,735,988,184,016,427,514,088,
508,194,656,008,933,460,259,293,266,595,989,416,816,353,697,843,134,747,498,
068,043,462,968,147,123,796,401,009,503,785,709,821,043,952,470,629,513,175,
178,706,405,956,940,868,998,697,961,048,918,344,970,457,383,701,419,992,194,
440,284,098,740,677,284,770,325,050,575,612,597,536,390,486,422,918,162,531,
845,818,006,549,985,104,827,496,197,563,272,257,667,771,697,809,621,098,270,
301,757,069,889,923,172,939,225,381,082,210,200,413,089,198,015,906,933,171,
821,391,831,833,932,532,423,696,632,072,255,581,063,116,218,993,619,585,758,
196,931,897,497,931,721,901,665,810,230,060,071,862,718,854,367,042,618,539,
634,081,770,211,596,556,573,594,701,704,538,418,373,938,615,263,429,279,631,
976,848,864,005,830,633,202,329,601,092,540,467,931,776,260,810,375,086,407,
340,314,473,672,411,206,676,031,576,394,573,770,154,265,637,362,521,704,141,
418,301,087,133,407,370,140,455,781,785,684,433,140,768,600,086,383,754,735,
277,675,291,385,174,387,849,839,960,203,400,984,323,404,013,242,472,418,706,
890,357,754,437,712,860,427,010,197,880,501,175,395,599,161,906,467,417,627,
922,369,909,135,037,314,297,880,966,682,433,352,488,840,791,795,869,172,499,
803,808,144,728,657,721,852,270,379,617,295,534,069,488,363,085,507,111,540,
233,564,182,379,640,815,929,875,942,812,713,828,330,534,068,847,545,499,858,
356,384,567,097,565,817,214,790,424,508,771,250,963,825,187,582,044,090,246,
513,487,516,361,959,310,608,203,277,494,900,650,096,865,174,946,085,700,738,
457,481,328,668,276,976,471,018,555,570,365,422,901,498,927,097,820,457,705,
508,011,997,977,212,409,666,443,542,378,339,747,394,345,899,700,165,194,888,
462,455,677,464,652,835,379,269,590,123,819,070,022,042,497,462,315,607,687,
776,375,056,850,292,915,537,562,554,957,220,495,075,814,575,671,889,593,783,
454,982,338,166,041,376,258,695,152,495,851,737,445,091,471,047,510,316,087,
180,076,153,886,507,724,279,450,317,166,764,517,884,720,584,000,651,337,090,
336,635,013,967,267,244,239,560,238,414,008,538,361,986,700,803,503,293,525,
920,229,084,546,865,136,783,561,878,160,788,999,752,339,784,553,871,614,285,
671,752,083,158,340,476,516,751,675,245,044,144,321,873,434,891,285,429,692,
444,113,657,097,760,538,489,402,913,107,364,828,088,475,569,424,326,696,451,
993,474,795,615,249,627,255,809,609,905,533,349,536,491,367,309,958,434,775,
380,989,266,744,593,559,319,065,975,383,498,982,423,142,506,187,912,616,646,
516,167,257,498,235,623,524,283,256,012,422,193,808,876,237,733,551,865,616,
837,231,184,354,672,823,632,153,508,561,125,064,969,245,853,527,738,736,520,
990,956,963,894,207,969,008,783,880,600,652,299,976,201,901,203,076,822,136,
127,274,835,166,583,776,246,461,657,316,959,758,573,488,703,295,879,370,500,
287,362,145,637,550,145,209,851,149,091,816,225,859,885,697,002,417,569,320,
787,827,794,957,025,294,357,723,533,165,700,885,193,507,260,965,210,345,980,
461,827,841,451,332,765,422,570,783,900,814,085,993,930,753,179,369,319,691,
371,604,020,447,233,368,138,612,602,708,347,647,098,642,034,765,126,052,010,
828,061,451,773,544,466,090,531,657,976,299,326,126,167,204,850,946,306,253,
223,923,528,085,370,839,671,664,706,764,368,659,480,420,082,462,431,187,943,
049,819,148,537,630,464,811,528,744,278,551,587,289,624,393,655,989,693,567,
428,031,976,351,304,692,631,727,157,249,403,024,184,699,577,685,681,583,956,
154,925,172,670,949,458,536,130,439,627,859,408,217,648,823,853,659,341,909,
477,201,136,624,746,359,546,881,111,447,482,565,696,330,551,182,528,131,682,
195,522,836,537,536,559,629,774,730,347,201,609,844,184,231,813,253,199,450,
669,631,235,466,452,399,931,422,741,093,082,065,920,217,305,473,065,287,207,
465,442,659,257,082,536,960,451,158,239,200,081,863,878,006,660,304,634,016,
602,378,076,862,421,548,305,918,812,246,183,636,721,600,802,882,396,237,710,
224,930,007,968,086,266,778,046,170,079,459,044,743,473,498,580,198,783,733,
812,671,189,788,963,114,194,706,478,376,860,703,237,964,907,451,004,901,792,
923,543,743,872,697,492,347,713,740,555,361,368,815,549,336,977,234,087,934,
655,730,043,667,682,762,482,663,896,157,848,113,799,013,777,731,933,016,017,
941,994,746,982,225,938,687,769,349,822,156,501,762,457,895,510,834,005,135,
052,828,150,465,951,045,787,922,806,022,249,090,632,440,025,444,408,301,475,
402,347,904,562,184,244,952,070,919,334,653,408,199,662,500,836,423,060,773,
381,737,774,737,206,683,757,651,325,518,472,977,011,005,906,751,247,353,710,
585,225,543,433,389,218,644,998,618,692,424,056,335,181,813,754,764,437,676,
000,928,746,471,887,428,152,287,584,433,511,358,098,271,980,308,440,387,449,
066,539,290,679,624,342,711,504,283,376,516,254,153,000,939,203,098,055,383,
804,971,721,909,829,686,432,590,343,802,431,618,279,018,628,923,444,618,401,
604,101,791,975,683,962,258,537,708,116,711,749,569,388,072,517,950,381,568,
386,669,878,585,290,851,498,681,358,647,439,787,235,487,853,587,432,553,766,
401,940,095,675,785,076,333,291,280,681,202,860,294,355,246,162,782,761,082,
976,673,328,437,980,966,914,198,234,985,227,537,453,005,429,622,977,413,731,
737,162,761,918,016,234,030,284,671,303,324,056,310,580,247,960,251,049,156,
561,136,678,846,274,722,959,039,180,146,072,779,571,858,983,421,170,488,206,
573,991,173,485,834,467,764,715,743,408,321,534,636,402,716,962,347,826,116,
499,816,773,890,464,449,819,915,570,622,660,892,325,546,191,612,580,763,171,
410,474,218,251,283,254,751,518,052,158,582,918,341,162,434,357,136,372,404,
324,973,431,289,594,650,308,967,271,693,507,784,581,592,662,389,336,769,973,
711,044,277,241,779,770,160,053,769,511,373,117,271,334,264,828,039,004,614,
193,932,683,737,871,742,879,290,499,596,901,298,632,866,642,972,301,955,668,
183,135,173,809,285,872,710,667,439,860,838,696,020,515,105,084,325,257,548,
701,499,630,408,413,488,559,943,188,997,353,472,947,880,489,284,125,748,639,
538,242,527,215,325,744,585,747,842,145,036,033,797,364,103,367,157,122,430,
331,826,091,917,450,714,398,802,535,430,787,677,989,590,271,687,618,285,732,
767,814,008,905,658,754,545,855,282,570,779,184,459,272,762,679,328,029,450,
920,311,447,387,955,700,649,275,966,046,622,686,463,799,582,650,749,608,475,
983,538,205,762,981,080,913,549,064,148,773,185,150,769,637,030,748,926,808,
490,886,967,963,038,347,413,194,033,914,745,575,287,726,910,454,092,814,570,
289,054,135,120,226,692,585,457,833,854,908,150,070,949,467,313,060,553,702,
917,465,815,243,413,989,411,230,297,383,112,163,044,257,502,564,170,157,962,
780,447,318,403,673,716,143,229,620,474,191,315,251,325,863,709,517,766,632,
222,486,406,466,258,283,924,253,145,603,898,580,954,738,030,467,071,799,408,
852,119,307,400,315,210,497,724,528,140,030,563,699,782,366,973,574,695,999,
465,230,093,101,539,749,823,850,366,309,901,343,643,700,394,721,061,471,011,
281,430,333,743,657,941,069,479,708,857,991,380,294,563,661,392,387,438,620,
473,690,978,627,208,008,496,988,886,430,934,063,835,985,782,894,214,394,992,
226,040,563,740,072,432,680,975,076,736,289,833,847,978,394,477,362,286,265,
868,961,563,113,568,625,990,996,940,680,554,660,834,742,454,270,392,908,959,
562,681,639,039,553,230,529,450,885,004,862,665,096,859,861,558,664,177,744,
683,212,743,182,239,272,919,115,928,697,923,451,748,123,215,644,701,645,495,
739,008,350,099,854,245,982,346,074,682,725,699,424,784,005,305,358,423,044,
126,697,315,056,514,196,774,394,336,822,836,007,047,257,091,207,064,010,568,
482,178,601,951,824,957,720,484,624,571,215,730,009,565,633,426,481,348,834,
675,686,518,679,670,878,050,494,230,878,863,605,111,490,444,234,043,837,147,
846,010,060,318,549,887,023,084,871,069,542,059,769,767,801,407,306,985,351,
549,550,128,657,289,160,635,112,509,478,750,175,158,551,360,216,891,764,645,
814,517,865,301,479,127,946,959,752,025,334,645,550,357,247,603,185,335,398,
834,677,666,552,755,418,769,354,065,541,450,317,193,588,920,856,521,633,204,
545,282,853,465,274,005,123,294,881,481,682,081,540,401,278,089,906,152,497,
099,373,723,102,676,979,951,838,622,107,865,965,837,854,075,433,123,330,115,
615,712,532,738,577,043,512,772,830,073,279,685,898,604,068,018,857,716,536,
664,075,738,564,280,932,724,687,899,346,553,729,637,380,876,298,893,714,953,
924,026,514,572,706,445,244,987,258,201,064,263,676,923,357,938,749,618,416,
496,895,835,189,290,263,763,707,144,437,071,343,951,913,590,448,717,055,581,
680,725,887,328,256,097,692,681,256,706,128,141,327,389,138,251,895,313,689,
737,765,500,459,596,106,873,289,539,985,854,518,694,608,801,945,110,016,929,
347,554,780,155,546,858,902,436,931,163,691,468,397,167,410,464,448,927,828,
071,249,723,952,710,548,815,841,034,943,527,831,827,224,139,178,490,485,439,
850,353,805,810,441,530,769,952,604,868,753,035,382,348,877,395,175,944,703,
499,603,854,218,721,031,489,500,838,805,786,985,302,517,697,776,126,844,492,
468,500,246,928,060,583,933,948,747,544,986,662,118,190,113,568,774,723,147,
036,889,261,666,439,525,956,547,260,977,929,593,096,805,299,470,346,547,205,
137,132,724,262,873,916,846,030,997,081,137,614,497,389,639,717,155,175,681,
044,802,515,414,731,229,150,374,674,663,378,794,187,672,976,189,868,678,249,
536,593,997,546,426,096,635,075,781,756,078,923,996,733,836,720,036,010,922,
223,864,545,319,834,638,393,883,682,867,509,256,649,007,001,195,265,061,320,
569,191,852,950,082,612,806,470,319,553,307,522,054,220,814,499,019,087,620,
163,373,016,372,841,704,607,150,567,463,046,498,228,470,084,527,208,633,476,
360,995,329,297,502,421,179,071,663,159,974,595,789,766,894,677,091,835,404,
337,284,869,825,592,683,698,650,163,354,742,564,814,159,465,354,883,277,107,
843,350,576,916,663,649,137,714,490,511,344,011,422,123,547,061,840,689,360,
655,224,366,359,129,139,102,791,834,782,896,329,136,392,091,106,067,289,341,
639,760,957,023,641,003,742,509,349,519,076,275,731,881,312,174,132,511,769,
643,028,535,824,603,654,696,106,386,521,923,241,090,849,906,023,532,962,255,
577,911,140,289,651,789,667,846,538,161,942,444,048,517,877,468,411,287,520,
675,505,628,137,458,834,815,190,007,576,511,932,813,283,732,600,973,843,337,
067,423,856,280,009,427,895,414,375,334,463,872,954,982,676,692,561,700,254,
325,708,266,232,439,529,805,128,170,387,114,597,178,008,231,062,966,615,627,
143,003,006,066,896,120,189,009,145,832,955,305,330,324,610,288,274,841,324,
262,514,950,440,711,175,897,276,251,701,580,709,271,957,415,569,516,791,985,
411,180,424,315,316,366,436,616,395,187,682,457,216,499,422,569,420,841,968,
508,189,089,388,719,281,139,643,719,684,321,659,023,856,677,185,601,219,425,
815,551,742,952,756,406,878,591,251,684,701,129,300,728,543,942,046,424,895,
735,349,723,089,817,421,259,453,985,872,794,175,222,171,405,651,596,279,543,
028,545,734,413,179,144,086,740,598,141,818,432,383,800,102,339,816,001,614,
277,079,652,147,811,790,283,639,615,320,398,935,685,078,515,664,602,311,226,
821,112,486,021,902,172,725,822,617,783,719,409,869,392,448,526,145,705,711,
499,059,939,442,838,424,689,266,190,274,248,494,733,534,406,580,694,652,115,
748,226,427,128,905,029,353,629,154,761,943,104,060,002,819,781,295,339,041,
843,492,316,299,447,238,780,142,659,539,374,437,583,521,295,246,466,489,523,
831,981,437,650,187,694,748,368,059,645,323,576,167,740,480,447,501,585,514,
666,100,029,046,249,636,331,989,137,861,614,894,494,814,823,831,653,399,296,
813,623,862,538,737,840,507,695,018,699,499,158,563,835,098,819,905,213,516,
895,186,266,041,591,926,057,495,366,092,700,575,713,304,189,098,715,556,498,
332,130,629,051,208,939,480,602,126,639,618,484,900,156,781,447,135,306,379,
457,165,634,158,746,632,656,279,523,812,628,083,524,719,440,565,485,675,218,
683,543,227,274,314,407,251,219,632,573,867,250,410,036,316,904,938,475,044,
864,329,875,838,014,325,473,241,709,182,716,178,931,956,943,652,013,751,215,
165,033,370,439,345,045,346,401,090,584,497,525,363,029,459,673,427,711,354,
445,532,397,448,236,306,162,094,377,619,975,845,734,024,766,103,416,813,065,
640,073,340,961,022,890,129,724,373,782,985,093,859,263,786,147,771,511,265,
411,200,288,066,164,978,785,894,047,636,239,166,329,847,824,031,289,148,697,
528,242,841,891,551,190,948,981,719,715,572,931,808,507,161,625,759,775,122,
277,209,120,223,878,822,890,731,594,991,405,764,671,539,602,506,837,208,469,
990,083,976,047,412,785,736,139,265,331,118,764,085,093,470,237,627,298,454,
599,922,742,963,790,684,155,713,616,466,491,375,365,834,887,810,143,750,871,
131,266,715,414,786,414,831,226,681,093,154,384,377,272,832,583,007,057,728,
841,657,337,069,669,229,584,897,122,656,808,015,874,293,234,733,894,647,889,
035,968,705,352,557,388,150,115,085,606,357,895,072,862,889,336,723,950,063,
021,493,891,175,289,255,376,326,429,415,247,739,749,207,812,035,934,556,147,
497,077,652,651,466,644,531,235,831,024,432,024,831,795,040,944,485,589,067,
891,736,536,012,892,496,977,351,974,485,795,417,964,448,259,628,437,083,104,
984,122,146,317,226,057,014,755,735,300,751,141,807,368,945,788,330,971,416,
803,422,255,036,446,676,185,524,275,328,646,947,643,847,550,863,810,691,894,
308,702,330,839,212,334,039,665,939,838,019,726,253,389,646,148,792,032,882,
501,490,205,067,723,271,909,128,186,037,950,335,068,713,340,772,384,772,350,
670,740,393,560,596,391,945,563,193,288,033,431,492,037,026,205,911,563,872,
953,869,175,233,188,337,018,037,091,443,445,420,260,638,901,673,099,544,035,
748,763,089,549,147,994,701,994,001,254,390,106,567,438,976,448,092,713,832,
731,503,840,688,902,679,444,827,673,794,936,589,639,284,970,066,048,815,468,
613,051,074,688,668,000,880,222,729,108,300,269,360,978,108,320,499,679,157,
226,217,154,111,732,087,291,100,282,397,340,235,184,963,637,494,533,725,858,
761,763,349,842,762,177,744,053,718,149,493,969,799,230,806,970,410,712,269,
937,041,332,782,001,422,089,181,368,157,636,422,758,774,635,188,820,340,633,
828,255,551,002,013,176,702,709,074,703,080,982,295,628,629,870,464,242,013,
141,201,017,272,681,477,430,860,372,653,860,533,227,374,024,118,783,167,360,
172,454,228,169,628,869,908,605,975,610,998,065,896,997,854,142,466,170,710,
671,502,142,153,928,293,602,800,307,186,079,034,466,479,733,722,495,016,718,
169,081,050,512,557,874,305,444,626,508,724,833,271,432,440,763,628,790,943,
516,654,687,822,819,656,158,230,937,694,123,986,951,423,304,486,379,695,624,
810,724,770,932,900,342,577,583,714,936,678,977,146,684,076,809,594,804,021,
261,121,923,877,032,329,051,294,129,367,811,434,923,363,181,479,892,496,386,
213,487,422,523,397,287,995,611,547,826,233,414,141,790,345,321,763,103,407,
226,123,472,103,865,947,557,236,996,956,425,275,571,749,248,259,692,661,035,
661,636,086,279,500,544,579,452,358,808,822,370,960,798,169,799,069,470,854,
432,563,054,224,069,022,863,185,126,574,325,395,145,482,094,800,206,409,640,
911,989,719,824,024,169,036,779,362,459,117,179,832,851,858,704,110,498,641,
589,873,274,903,421,396,503,800,532,529,611,719,354,232,070,965,994,597,832,
152,247,611,324,303,861,722,091,709,802,340,461,788,106,845,900,974,909,425,
644,483,547,783,404,261,047,799,016,540,744,932,812,393,918,564,556,527,975,
755,071,877,977,677,813,839,876,348,269,973,284,143,737,393,745,454,022,345,
009,573,131,000,437,167,413,338,890,843,494,620,847,668,719,077,716,343,799,
229,517,411,297,487,965,814,045,579,277,839,630,915,381,766,545,415,800,024,
385,244,608,057,576,640,064,716,272,698,362,578,758,603,975,145,672,381,596,
030,424,153,787,210,517,565,192,560,120,889,154,120,533,252,135,852,803,311,
909,814,377,496,315,158,281,612,717,470,958,837,125,218,716,703,853,460,495,
896,699,400,447,707,086,956,588,138,249,048,696,909,869,840,302,506,708,194,
041,095,218,183,676,222,438,425,078,453,892,276,830,313,424,303,128,390,243,
816,117,528,605,132,493,573,984,558,726,416,667,723,923,764,578,107,273,181,
490,217,744,526,176,424,719,432,697,064,214,075,845,216,712,538,261,452,618,
214,570,077,489,646,253,834,330,976,359,021,362,335,478,212,132,167,225,442,
695,485,985,692,780,702,324,731,959,850,923,303,962,185,842,540,189,272,237,
160,186,391,180,020,581,969,712,996,465,809,238,403,361,132,304,763,099,459,
293,342,656,704,690,644,870,758,569,623,711,562,119,674,415,312,997,101,250,
259,965,942,010,215,262,778,739,047,438,227,535,654,653,048,845,026,295,505,
008,194,309,632,413,521,652,257,834,062,424,699,626,662,026,584,750,003,015,
717,653,715,109,938,716,152,477,703,852,569,405,792,039,842,606,177,394,894,
905,334,184,886,216,396,410,683,600,261,390,817,258,770,756,198,915,648,890,
437,700,043,188,617,243,757,707,167,414,511,724,583,005,584,383,722,819,658,
768,434,131,324,377,981,211,534,941,220,236,974,311,187,242,097,759,809,631,
737,956,126,886,961,054,907,095,851,332,223,061,098,124,275,125,198,548,598,
961,354,832,986,154,235,218,730,710,161,860,123,351,228,838,608,826,905,305,
593,096,954,265,623,567,424,768,637,170,125,997,465,989,357,790,036,189,505,
520,880,794,011,059,230,057,831,390,707,470,745,704,675,380,264,193,606,620,
271,314,009,470,170,151,539,559,550,874,418,837,606,795,729,001,017,740,550,
046,278,243,536,379,376,003,708,746,119,963,496,246,038,839,632,810,974,097,
460,069,978,533,250,217,454,562,081,294,135,386,603,895,785,064,899,234,932,
395,502,387,998,604,701,355,968,103,009,941,419,454,956,441,408,815,594,345,
474,002,065,762,769,687,954,152,415,097,549,007,708,296,238,126,566,890,531,
707,978,048,706,518,256,868,445,253,553,303,665,013,085,319,569,565,333,855,
948,486,808,671,312,774,929,614,128,109,090,454,513,605,236,243,605,223,112,
259,071,923,611,146,274,831,728,536,677,356,361,698,598,354,087,099,419,741,
919,339,784,123,367,716,477,782,710,096,056,259,476,212,975,658,612,182,395,
286,944,038,365,006,336,890,905,969,850,839,305,972,931,968,349,291,183,267,
856,336,015,885,692,455,823,863,099,697,553,430,732,868,201,474,081,128,105,
480,738,587,437,958,973,479,155,553,878,066,936,822,279,749,169,973,347,107,
647,619,423,632,032,559,769,435,241,119,709,926,375,575,017,727,405,808,501,
386,456,973,968,905,805,194,923,477,910,317,660,390,282,894,455,893,993,697,
764,425,056,757,180,559,066,377,951,333,140,343,799,101,375,439,027,995,218,
686,586,098,763,198,171,950,889,096,509,548,020,730,109,183,836,449,775,175,
381,788,207,884,126,461,781,960,550,706,255,110,572,848,484,154,237,949,328,
654,488,269,271,574,955,488,574,840,216,327,882,764,044,116,765,147,362,274,
133,268,873,967,806,349,575,973,458,783,091,735,024,806,356,793,296,572,294,
607,179,455,298,536,831,446,853,315,108,520,171,272,854,064,193,276,328,623,
278,607,651,740,530,032,841,517,262,169,644,559,013,604,927,244,320,712,066,
734,875,614,541,650,697,745,606,027,399,905,825,988,006,502,197,040,809,299,
758,068,553,452,313,664,061,860,445,179,346,768,280,499,421,473,953,252,739,
696,179,766,000,053,949,230,080,631,575,808,074,858,618,480,178,577,867,577,
861,634,994,841,631,684,331,227,805,075,060,065,030,977,145,238,136,071,723,
163,131,954,736,751,394,184,249,476,375,987,466,792,347,133,514,466,487,373,
609,712,566,873,821,405,932,458,527,401,043,245,697,318,823,890,666,582,076,
777,596,800,495,543,529,588,745,816,998,193,937,196,363,493,101,168,302,688,
100,083,694,008,671,668,737,961,271,519,687,210,309,701,324,356,937,107,227,
906,126,800,605,391,214,169,821,967,530,212,630,831,584,825,178,006,185,367,
719,093,971,599,360,560,648,883,836,291,601,829,424,464,378,351,913,770,117,
941,525,592,036,752,208,163,856,534,977,943,865,152,830,598,963,611,258,319,
268,170,422,680,276,547,491,992,808,841,802,779,694,867,450,666,318,404,775,
233,450,912,258,341,608,400,797,908,902,455,381,055,298,773,611,670,153,367,
856,340,360,966,123,972,617,348,081,108,989,895,417,081,983,471,480,657,388,
398,335,278,762,120,431,073,422,591,118,961,193,807,974,377,513,510,166,143,
309,623,665,166,666,828,824,444,827,896,843,136,830,489,535,908,087,821,773,
893,624,539,772,616,103,542,310,948,988,072,259,677,993,797,836,804,797,332,
080,246,540,385,393,639,193,917,479,191,934,551,132,973,086,200,113,747,872,
984,902,247,449,404,618,582,761,975,644,783,883,347,052,490,271,622,576,153,
428,079,925,130,736,742,272,999,570,511,457,248,321,601,924,447,306,651,648,
895,353,306,859,456,132,890,465,432,458,926,069,339,534,351,540,956,321,838,
177,783,422,428,546,649,410,626,979,919,530,076,043,486,070,578,991,832,752,
932,556,740,184,681,103,957,512,321,588,931,847,805,385,447,963,974,174,250,
757,657,586,053,836,416,310,904,686,718,282,122,223,741,786,184,375,775,428,
994,242,612,788,055,854,777,811,740,981,409,711,894,157,532,869,613,130,294,
555,464,616,224,396,744,986,642,943,397,159,184,449,994,147,974,050,873,826,
335,003,602,729,109,483,186,735,608,314,366,710,674,327,238,851,168,298,674,
547,091,119,938,018,606,335,049,207,797,584,542,857,461,060,149,301,563,872,
960,229,312,551,250,637,372,696,905,339,672,092,685,216,533,753,921,380,552,
315,200,762,724,192,188,259,211,304,737,255,360,564,869,701,555,114,072,022,
852,803,740,903,351,007,661,079,034,115,896,925,484,042,105,228,592,287,098,
042,526,972,797,997,348,942,668,791,082,990,711,619,603,021,174,259,983,204,
031,075,446,961,865,223,984,646,552,853,768,248,243,043,062,261,384,600,150,
160,748,595,517,238,130,026,914,442,771,670,053,133,214,546,210,759,798,367,
733,167,967,528,503,852,399,285,801,222,615,268,697,991,988,877,218,218,099,
056,237,418,655,661,257,346,559,579,772,862,526,718,554,177,478,181,333,801,
732,708,563,114,073,016,570,237,479,029,901,974,271,980,475,250,038,991,421,
532,484,576,984,840,502,004,999,995,494,595,746,162,471,789,716,557,425,964,
028,217,876,758,588,297,732,147,007,920,260,195,608,663,796,140,552,976,226,
715,272,095,238,424,864,087,445,303,798,749,162,341,310,312,100,037,826,438,
832,156,691,875,881,691,800,036,552,629,464,016,406,559,472,648,405,088,502,
854,589,826,467,428,069,505,716,704,048,591,741,399,760,241,307,510,649,551,
268,348,219,675,229,046,152,091,712,880,411,009,008,155,112,712,206,893,130,
846,311,000,174,152,316,775,234,971,487,671,304,766,905,499,843,056,107,875,
773,580,414,372,956,546,051,470,105,471,370,632,685,576,179,959,972,817,936,
109,483,059,514,531,025,059,215,147,346,487,534,530,580,351,383,284,941,001,
136,989,040,637,035,263,900,271,948,217,452,331,181,283,933,983,876,023,685,
178,494,215,422,891,085,318,966,685,513,116,812,574,941,039,031,922,246,454,
739,576,509,457,110,000,242,674,148,318,825,518,568,587,678,820,715,795,376,
487,135,252,599,391,497,795,487,467,534,050,815,144,914,862,367,453,843,379,
020,161,594,173,295,878,804,540,144,797,176,693,296,844,996,661,888,264,168,
421,070,525,878,199,092,307,636,389,982,509,735,024,806,820,087,335,663,759,
371,567,808,573,504,060,034,891,396,951,971,363,114,993,013,452,817,698,219,
759,879,473,805,843,734,438,677,667,311,598,758,331,664,012,082,551,912,598,
110,606,319,530,657,600,968,168,995,690,443,037,569,424,935,411,775,037,091,
157,644,629,418,159,424,180,661,641,828,862,971,417,180,418,725,199,539,953,
104,861,350,431,295,484,472,076,246,470,645,499,785,095,404,898,424,002,957,
583,402,202,183,277,106,717,877,338,411,478,315,425,170,045,939,748,819,172,
951,442,903,530,082,620,001,592,158,195,218,056,368,429,638,242,238,629,384,
044,879,115,202,146,450,783,367,783,986,237,799,990,290,105,634,756,546,068,
389,031,070,314,400,295,018,170,346,399,731,810,394,770,966,405,677,949,656,
749,908,433,829,729,376,181,786,297,906,473,829,296,086,931,889,039,725,684,
878,627,284,655,598,052,216,302,758,011,225,139,124,409,583,745,922,406,210,
994,639,726,684,940,784,305,285,256,495,781,713,822,477,955,524,245,169,737,
751,695,830,488,611,988,041,342,947,875,776,349,248,211,069,368,513,933,162,
523,485,013,487,866,746,493,771,449,025,933,266,595,196,714,519,196,549,482,
730,016,964,762,824,785,283,186,411,078,308,073,747,019,293,689,078,503,868,
163,210,091,999,122,574,050,804,158,821,926,192,830,397,187,252,559,783,893,
398,802,594,484,239,908,633,002,687,787,372,280,122,633,518,675,236,884,148,
152,106,877,965,881,590,143,915,277,250,648,567,355,499,657,663,316,943,392,
018,915,038,345,909,402,472,417,683,090,393,066,910,499,474,695,037,224,644,
904,508,522,356,290,722,987,255,494,507,531,865,536,367,690,308,911,837,144,
116,318,949,921,375,915,562,923,783,567,320,858,467,237,445,371,838,363,091,
528,963,883,478,459,569,567,068,805,802,500,082,802,632,919,207,640,504,557,
823,842,715,126,154,255,799,238,954,878,061,163,130,259,159,229,886,741,857,
134,335,277,724,300,791,941,292,175,250,903,188,880,080,343,116,742,164,911,
644,250,181,361,118,331,902,301,720,799,413,859,811,235,703,562,160,755,500,
265,261,326,902,572,961,406,604,741,929,878,865,910,139,264,822,506,867,809,
241,437,544,716,556,003,345,849,089,611,520,085,176,775,410,097,331,987,113,
244,236,572,864,301,251,505,338,913,174,819,350,254,306,471,480,257,689,985,
844,289,483,659,488,294,998,833,158,227,450,776,120,651,466,917,729,217,995,
125,801,301,498,430,043,603,056,498,871,856,905,843,340,126,795,249,682,385,
271,212,336,165,395,294,813,842,359,465,778,627,971,905,471,128,379,341,125,
434,904,375,616,970,564,385,981,432,001,038,557,149,621,185,612,601,945,552,
421,261,047,913,468,467,623,756,600,328,877,225,889,602,699,557,003,464,635,
431,416,323,919,083,508,371,103,624,768,599,996,461,419,352,164,083,628,084,
263,877,502,766,575,059,853,568,095,255,423,591,223,382,531,008,454,829,389,
432,056,430,834,977,787,759,746,102,442,921,864,522,658,594,585,337,497,383,
409,608,322,462,111,596,087,150,808,437,792,213,724,553,637,165,959,676,580,
150,568,085,104,186,772,598,882,328,025,341,850,469,803,300,955,884,194,602,
790,051,828,519,942,228,564,141,456,347,879,389,674,752,382,278,811,013,017,
063,730,643,686,126,473,065,309,526,988,587,997,736,048,260,637,122,203,907,
655,598,131,363,555,898,201,937,187,804,419,767,433,795,466,331,968,218,446,
207,003,095,117,765,552,675,579,673,437,394,786,757,633,762,175,479,433,921,
909,265,965,794,129,851,621,910,151,331,719,509,679,740,627,150,766,892,135,
182,670,082,921,104,180,292,545,890,870,153,486,518,693,171,183,244,926,325,
558,912,043,201,500,898,771,635,567,224,010,333,657,832,841,094,441,708,017,
898,197,268,743,949,230,787,360,356,210,281,526,158,696,785,997,442,425,287,
381,066,370,593,338,836,714,988,739,206,243,920,159,640,028,816,935,027,557,
651,761,717,466,267,769,134,041,594,287,001,372,402,732,601,934,565,673,659,
473,303,575,252,493,251,262,844,811,104,090,435,579,978,834,288,774,430,060,
774,531,491,559,669,751,227,890,598,541,308,376,213,356,082,569,532,767,377,
557,444,865,600,527,191,338,316,061,626,342,248,461,374,258,882,514,065,128,
022,851,725,420,330,033,069,088,279,228,776,223,353,391,142,027,625,776,166,
597,863,233,336,080,966,299,627,774,089,320,032,966,866,315,203,295,599,587,
919,535,181,420,619,386,506,649,301,416,756,834,008,369,153,714,347,607,842,
829,013,390,846,423,749,115,655,842,958,398,537,376,011,067,319,363,198,570,
238,115,351,116,593,964,549,016,517,651,970,751,759,588,391,437,782,335,352,
049,101,165,031,223,790,976,372,401,175,149,967,600,042,653,717,403,905,040,
929,613,546,109,624,694,198,437,033,554,533,032,864,448,404,109,632,277,399,
129,191,847,968,583,928,416,356,311,490,947,843,712,754,481,226,231,309,763,
638,276,463,212,313,078,934,666,392,476,776,789,898,907,749,205,143,714,430,
550,879,957,567,586,968,360,343,737,026,859,170,692,430,013,042,986,547,802,
160,490,990,173,351,570,825,916,209,124,169,269,608,920,847,994,251,216,862,
600,280,102,483,368,966,658,185,669,704,563,558,033,781,521,513,673,458,061,
756,751,121,639,977,701,756,371,160,576,299,104,956,752,360,220,670,980,279,
247,307,947,637,518,921,873,117,026,150,109,936,694,702,046,727,826,076,682,
337,932,855,387,701,767,852,508,209,950,578,343,454,704,541,005,510,616,072,
102,048,941,079,156,797,773,398,858,082,847,878,223,621,962,907,837,089,722,
894,184,000,567,222,191,955,112,480,396,402,631,312,212,955,977,919,419,182,
067,191,648,065,603,735,499,068,936,446,326,503,235,591,398,015,212,916,730,
969,530,701,444,271,319,737,511,095,200,508,751,995,449,064,419,027,433,033,
606,184,123,463,822,877,738,804,453,650,811,963,076,795,912,144,803,571,160,
168,468,297,606,843,051,742,532,988,561,364,346,931,914,800,107,063,800,208,
924,951,761,461,021,053,339,390,408,108,263,807,684,082,205,323,507,981,531,
039,208,815,548,082,817,163,743,336,449,289,834,953,744,688,300,882,821,779,
952,498,098,342,364,377,557,440,866,062,437,486,076,497,350,102,410,473,057,
394,087,659,768,427,923,129,320,340,739,886,648,274,076,117,010,238,867,049,
452,773,482,621,559,643,721,707,865,502,850,763,101,979,011,004,997,339,814,
291,846,832,393,698,342,091,366,092,840,267,172,146,715,583,031,836,647,978,
666,795,256,424,774,743,333,559,757,645,092,371,598,987,123,598,231,308,482,
301,317,428,778,050,893,457,039,501,696,524,950,466,844,232,832,162,736,826,
221,227,414,434,763,196,413,627,551,418,876,335,785,401,057,162,859,175,737,
955,176,423,775,121,682,782,166,666,918,263,397,489,060,441,406,448,666,961,
787,505,779,467,745,444,216,003,525,419,489,956,197,248,084,090,435,802,944,
978,409,920,842,610,302,665,372,874,789,505,166,349,872,406,866,792,609,049,
981,672,839,153,680,598,345,999,255,829,880,141,385,435,674,137,737,898,921,
446,130,239,320,984,695,266,903,306,121,747,769,239,901,877,434,833,179,744,
905,635,962,651,317,447,561,218,041,443,779,444,116,553,516,001,129,439,357,
459,970,091,078,015,319,166,687,423,481,422,545,515,758,018,543,261,280,264,
043,132,089,938,361,673,575,486,940,894,564,327,311,952,462,902,814,085,918,
433,409,428,855,566,982,085,243,319,508,906,948,180,011,762,233,518,272,811,
585,348,033,132,382,982,226,783,144,426,912,854,742,137,646,028,238,144,925,
689,914,042,951,234,803,712,825,712,049,417,181,864,406,467,510,517,495,604,
512,957,434,735,301,118,115,443,687,985,047,108,038,712,466,741,202,236,258,
618,733,239,548,103,410,477,891,748,235,557,448,510,257,177,606,682,108,745,
906,705,865,113,666,004,073,104,379,203,453,835,573,234,991,250,907,930,539,
362,683,675,469,691,368,546,997,647,780,465,590,245,488,188,913,012,882,318,
958,938,364,905,028,759,484,476,249,341,855,721,909,161,044,282,908,267,814,
012,099,650,702,891,253,315,913,968,778,979,495,675,666,502,170,676,163,357,
579,867,994,457,190,252,725,068,851,003,633,497,400,572,592,121,317,056,747,
924,227,734,586,966,219,131,418,232,472,011,951,907,610,009,332,455,807,610,
722,100,612,227,805,234,606,025,825,891,750,337,609,191,768,709,860,586,603,
697,694,608,289,154,830,279,280,670,559,326,323,311,367,400,418,354,400,451,
608,027,986,462,047,173,260,711,767,988,960,813,545,367,408,401,222,516,870,
351,029,998,854,272,852,253,038,949,249,761,205,256,298,883,769,658,213,546,
201,039,787,472,079,489,594,396,331,547,173,963,280,844,905,270,974,960,704,
206,647,719,698,563,637,817,372,409,743,300,090,506,527,083,881,665,384,512,
876,372,829,132,865,891,884,118,867,481,579,508,834,953,684,206,992,082,006,
965,267,043,593,708,705,617,109,124,880,857,288,241,721,548,856,537,785,533,
741,404,027,257,584,358,116,208,691,234,322,734,585,244,649,923,267,844,802,
558,086,776,114,616,024,731,182,935,159,697,073,104,724,951,414,214,897,481,
940,423,759,575,608,455,470,471,728,873,760,699,705,944,980,594,743,220,243,
015,813,434,541,286,861,417,775,459,920,584,180,824,691,809,664,561,737,890,
159,059,914,130,310,141,804,751,923,147,939,511,595,361,519,086,100,996,332,
288,783,844,422,792,866,677,895,926,396,014,543,090,599,033,027,578,822,774,
595,292,139,836,427,140,780,673,596,216,582,039,896,261,484,306,647,527,741,
243,034,637,050,490,685,102,890,301,997,072,471,796,880,373,051,746,862,394,
912,819,714,274,913,906,471,828,089,884,775,973,538,771,020,951,228,420,213,
469,410,583,071,863,225,919,101,479,535,682,139,342,586,932,993,002,545,116,
637,814,490,966,758,165,595,022,900,639,637,986,275,540,299,718,195,763,579,
197,827,610,775,595,077,511,444,378,438,023,255,728,039,861,087,410,391,291,
399,315,401,362,211,737,352,275,232,157,208,942,415,381,136,238,611,292,662,
536,711,915,066,972,614,019,110,561,400,582,486,953,888,131,607,801,280,111,
969,786,052,885,017,424,177,111,614,320,290,990,470,356,705,180,081,170,582,
962,025,302,783,480,371,070,961,522,030,552,300,305,556,616,418,830,182,390,
529,110,096,807,961,589,336,468,013,508,807,849,970,770,864,128,822,601,804,
565,350,861,569,429,540,826,343,298,180,940,786,358,149,736,503,411,767,706,
621,891,970,596,904,681,811,224,835,988,998,581,943,986,160,421,723,726,146,
698,726,666,982,020,415,928,080,483,999,948,920,132,437,431,873,533,195,774,
980,338,328,541,244,586,715,788,677,945,819,843,528,407,247,395,154,540,803,
342,531,977,692,190,293,474,195,197,856,514,512,273,355,969,890,135,142,696,
782,365,322,935,030,126,264,791,780,716,289,440,506,275,790,944,996,482,389,
860,023,251,975,436,298,956,123,545,246,830,472,622,597,416,634,607,918,610,
165,965,541,565,539,696,577,523,564,577,907,633,270,983,383,047,581,032,442,
695,261,842,332,390,914,987,364,015,403,566,463,049,559,786,918,519,638,356,
097,788,054,595,756,766,337,395,650,923,649,471,230,752,889,114,651,004,564,
452,602,724,288,225,338,796,713,576,622,521,968,227,101,760,825,110,483,248,
580,449,540,323,849,162,312,259,882,830,728,237,385,130,721,090,244,739,612,
027,864,334,630,667,223,572,904,580,798,090,238,996,111,379,767,237,447,681,
820,947,823,532,642,882,412,489,710,149,265,673,921,899,262,352,468,631,126,
150,159,267,197,357,529,040,710,739,605,912,272,735,832,893,897,124,877,685,
736,699,917,396,585,533,690,923,755,166,090,146,425,546,141,400,472,919,457,
370,097,573,935,899,098,746,296,328,199,703,721,353,065,527,823,341,819,118,
809,452,092,410,960,359,384,013,855,898,168,191,195,511,413,184,122,140,890,
474,220,032,142,950,146,161,918,667,374,365,562,574,392,454,367,058,552,764,
742,025,909,847,015,895,667,379,182,875,245,553,873,641,366,636,449,731,413,
854,559,465,026,443,207,637,239,950,096,743,364,768,506,116,703,703,029,721,
443,039,762,834,964,816,404,271,840,311,334,170,272,657,024,194,109,233,944,
560,498,825,825,535,644,322,386,833,447,503,019,366,577,859,241,678,450,340,
936,969,490,454,427,724,664,253,153,309,983,084,715,785,238,316,319,131,197,
778,843,702,572,088,787,724,443,140,811,755,221,960,827,800,269,786,893,797,
956,370,839,262,740,042,933,691,024,542,935,926,650,586,801,281,507,119,475,
384,821,824,448,113,966,100,295,686,770,406,628,680,214,672,592,915,948,077,
741,107,929,418,722,887,362,871,434,385,691,277,152,974,753,417,539,277,055,
459,125,675,635,138,825,278,892,419,386,868,291,890,209,087,207,952,429,280,
411,170,037,143,507,165,481,537,458,433,125,056,667,290,337,131,165,269,912,
172,703,696,908,090,130,926,155,784,860,090,625,494,624,317,918,513,459,631,
241,774,651,780,594,772,483,782,260,708,722,947,236,379,133,819,941,381,898,
683,979,852,851,737,756,084,020,284,499,419,872,157,527,231,125,133,457,058,
964,964,186,830,091,344,796,351,637,196,645,084,108,029,860,645,395,845,734,
848,393,620,179,912,511,642,777,564,202,100,568,615,720,695,858,846,867,770,
760,514,032,125,181,875,818,749,324,877,559,885,839,822,243,903,216,559,198,
967,809,460,355,120,271,316,323,166,744,971,233,144,376,717,905,914,279,805,
657,123,925,367,606,770,998,772,671,769,207,693,295,828,134,926,448,327,598,
571,717,507,024,038,488,420,088,388,435,226,349,755,202,900,585,377,034,816,
313,788,732,715,303,500,478,180,592,202,644,715,983,516,375,976,394,625,657,
187,538,422,584,316,690,203,202,916,694,031,281,470,624,134,070,288,917,198,
153,616,854,788,958,929,314,367,257,549,286,041,191,475,521,049,033,360,479,
027,764,638,859,692,531,465,270,406,493,514,865,986,591,509,631,234,801,103,
096,155,345,342,319,499,229,745,815,769,847,799,406,738,712,085,732,741,644,
256,012,453,052,171,166,389,243,266,785,445,559,239,762,652,813,393,001,699,
846,732,197,668,464,435,102,475,163,321,669,878,716,034,994,369,607,911,489,
724,362,088,070,540,499,290,197,740,414,235,687,140,899,334,822,092,245,667,
068,160,309,272,611,244,654,515,330,207,673,229,539,393,035,523,799,614,429,
441,839,478,889,697,967,817,762,967,779,229,072,339,161,297,580,763,625,729,
473,496,274,316,261,328,135,472,333,426,778,588,061,532,060,525,885,163,543,
828,511,746,502,906,639,992,993,890,904,142,901,964,223,665,398,220,857,677,
655,407,096,140,819,801,084,024,320,046,018,514,798,747,784,300,565,778,398,
757,649,780,303,552,817,664,403,782,682,780,145,497,569,925,303,104,899,196,
705,390,028,518,920,174,313,921,754,624,679,639,852,530,671,392,060,476,407,
251,203,896,478,496,345,011,897,321,277,970,915,747,497,539,185,181,343,466,
161,924,056,739,303,499,838,558,149,284,085,101,242,794,136,447,959,802,503,
241,479,718,430,958,026,391,932,352,274,984,912,091,284,220,822,165,589,836,
973,771,338,448,166,942,697,440,672,183,887,154,369,616,941,648,048,937,723,
463,344,869,944,689,052,855,915,916,411,190,837,900,436,820,745,792,513,296,
786,467,073,127,748,021,995,909,661,158,784,529,453,539,599,125,772,173,533,
264,906,955,354,877,008,205,797,719,834,174,741,062,706,943,169,724,725,610,
937,973,384,854,759,932,893,356,206,610,494,959,863,430,011,201,731,301,480,
879,303,828,635,786,689,620,558,147,141,023,266,494,601,980,131,886,084,409,
809,092,608,850,403,746,485,958,092,196,409,390,239,777,998,501,052,313,616,
707,292,509,665,594,562,880,327,795,652,925,440,432,950,070,239,124,104,723,
712,326,079,553,027,314,893,975,679,113,753,053,655,951,201,533,017,923,092,
021,822,011,393,973,826,542,826,344,168,167,105,894,401,300,931,152,289,047,
586,016,753,037,504,596,699,452,948,860,959,771,495,154,108,064,046,456,844,
393,914,499,563,456,602,339,946,457,338,261,684,985,455,029,884,680,291,057,
711,610,835,894,950,702,544,970,338,258,957,086,462,025,893,600,170,928,836,
542,716,379,043,654,261,869,727,935,204,323,963,629,361,203,429,020,534,565,
850,748,401,282,549,356,971,752,897,803,582,149,121,510,480,722,014,723,838,
481,262,566,850,260,410,044,686,631,149,762,086,449,291,169,548,905,615,781,
043,827,199,605,652,628,650,285,997,186,712,911,841,274,762,980,494,813,445,
349,504,503,708,485,636,269,273,647,907,526,066,829,510,385,832,398,712,708,
525,883,042,898,954,197,266,904,130,522,327,646,279,031,139,704,819,952,469,
645,700,626,594,594,852,685,338,994,319,990,457,975,085,241,153,764,090,716,
686,930,305,269,094,752,192,223,281,411,873,745,953,417,694,628,785,007,464,
869,687,704,295,961,401,921,454,860,344,305,659,193,713,625,449,087,915,241,
798,679,973,018,479,482,195,507,611,744,896,420,387,118,046,752,305,259,436,
634,344,803,981,995,411,217,748,442,549,802,224,902,829,580,643,823,341,073,
264,855,147,983,672,295,155,699,597,572,768,561,917,042,976,152,056,828,195,
344,591,377,260,735,461,342,194,537,033,284,956,582,101,332,776,723,482,362,
680,000,683,172,503,897,074,027,727,506,253,776,587,401,347,828,875,765,134,
383,957,286,181,547,396,203,663,642,344,233,306,711,778,146,043,950,821,986,
956,296,442,987,717,176,116,366,449,548,114,006,317,203,035,412,301,548,766,
532,990,530,028,734,547,714,870,735,023,867,329,052,834,332,634,086,982,451,
798,223,277,061,122,239,162,664,609,677,397,317,237,983,008,765,510,990,491,
299,671,039,785,798,031,883,464,673,048,932,992,142,567,136,089,200,766,496,
832,926,430,114,006,728,582,434,107,450,935,604,675,687,207,909,200,858,707,
886,623,968,224,121,122,666,393,594,962,775,572,992,598,461,545,955,332,821,
384,303,148,035,371,557,251,591,394,881,655,847,649,612,127,041,931,371,406,
641,817,855,162,570,561,487,001,315,051,935,312,949,387,707,001,969,487,433,
970,499,205,810,945,053,575,937,314,956,618,270,817,971,920,950,255,791,953,
689,002,592,131,032,869,129,015,149,549,145,799,550,693,621,568,372,291,780,
287,742,225,035,332,576,577,401,460,090,564,843,052,713,103,255,515,038,258,
999,588,616,695,684,027,374,912,712,897,864,369,546,788,550,558,207,045,464,
463,366,420,239,516,106,207,756,147,644,469,944,995,514,505,356,086,596,315,
915,184,736,868,861,219,310,239,528,736,578,858,451,714,402,535,954,529,189,
329,319,250,926,038,188,667,515,251,607,378,329,728,625,643,783,174,072,509,
500,946,881,860,428,563,248,696,671,838,561,685,033,573,510,839,245,177,788,
593,010,992,989,844,965,962,450,876,982,839,942,191,699,634,272,783,478,070,
007,525,247,587,899,431,893,555,266,272,405,629,337,686,391,930,634,574,713,
848,807,486,937,469,963,090,619,973,971,386,489,825,185,874,983,060,278,111,
597,795,435,221,795,138,383,979,206,062,605,608,410,886,690,373,618,137,591,
525,421,931,164,213,715,783,839,044,208,143,233,387,756,771,845,651,999,691,
253,335,745,840,873,287,623,522,112,280,603,114,880,311,165,504,361,412,949,
537,470,626,499,852,903,486,582,987,222,334,127,583,843,342,776,090,044,382,
345,480,142,477,777,402,827,678,473,277,745,047,286,830,884,950,648,815,893,
823,374,842,786,518,230,887,802,007,622,096,257,039,247,728,961,335,163,310,
564,370,880,853,116,889,273,460,782,360,554,304,903,123,359,392,869,045,648,
286,803,841,373,024,189,625,853,262,401,407,461,219,187,960,910,119,839,258,
615,922,825,328,941,218,613,238,919,088,801,728,418,767,800,060,453,645,804,
492,573,544,068,425,655,321,856,210,295,173,432,504,297,692,896,196,029,711,
847,710,354,444,570,500,835,586,092,884,944,312,146,127,701,612,855,677,914,
444,519,168,300,491,918,625,533,646,552,691,365,094,652,298,697,993,273,831,
745,413,756,516,611,953,785,188,597,175,369,391,360,411,544,590,550,060,387,
183,907,432,279,988,703,281,536,445,609,375,800,218,291,655,778,683,985,825,
808,969,887,019,467,197,417,528,927,140,799,539,429,937,481,423,741,701,779,
041,633,951,061,230,564,667,375,093,154,163,396,985,376,581,550,630,811,015,
302,137,872,117,373,359,513,036,441,689,929,083,447,027,130,705,649,389,661,
151,160,939,094,595,144,238,111,612,089,696,869,201,863,035,852,505,150,928,
974,675,215,715,802,006,459,749,028,100,165,446,723,175,957,594,472,921,952,
184,824,071,558,953,777,017,786,294,519,154,135,055,596,296,225,213,458,961,
225,314,616,667,489,588,134,991,910,675,743,629,272,557,022,712,273,853,287,
945,255,284,641,961,653,463,202,412,139,547,973,576,177,886,476,377,670,393,
177,301,452,020,604,492,452,947,638,832,675,697,117,192,707,856,961,055,522,
033,211,065,808,704,907,330,911,348,963,019,543,441,595,167,722,908,910,736,
185,730,521,746,932,859,117,976,623,416,398,574,532,766,411,824,984,656,995,
957,793,345,752,900,765,829,004,971,533,690,030,993,863,640,436,483,417,838,
586,116,800,260,169,052,385,404,406,104,916,510,775,670,112,523,783,137,256,
121,824,439,989,712,668,435,604,815,696,519,973,819,571,860,042,311,476,708,
954,368,172,411,637,666,604,261,771,139,351,204,041,639,941,238,902,989,391,
187,569,852,307,536,312,964,782,170,289,074,751,732,084,363,443,668,662,441,
647,292,092,079,330,955,482,644,740,638,827,025,789,143,465,185,069,748,185,
439,719,695,352,047,222,077,220,321,407,706,436,699,021,386,225,915,586,488,
212,231,157,962,082,566,733,795,087,100,383,121,922,111,235,466,244,727,364,
921,726,574,919,574,794,812,053,778,817,678,936,081,763,569,077,322,139,521,
914,868,456,061,655,066,486,906,308,336,231,479,078,739,374,266,210,779,494,
736,780,812,513,163,874,127,703,224,098,872,733,320,832,273,522,966,147,712,
446,719,201,206,362,983,412,914,900,614,357,401,739,049,290,896,931,029,256,
328,800,032,664,319,247,471,063,630,438,785,523,643,602,444,120,926,493,119,
319,120,878,545,838,922,475,143,588,684,233,240,984,742,148,058,755,041,232,
891,924,306,327,155,040,244,998,197,256,725,783,414,925,902,832,103,866,375,
719,093,842,702,003,968,376,487,757,616,284,890,520,516,701,777,942,702,837,
726,106,298,532,495,922,777,002,282,988,815,229,982,244,810,774,682,813,635,
134,684,897,009,292,798,668,219,712,061,257,560,801,267,634,019,057,922,279,
503,770,278,821,752,673,668,757,659,719,423,024,368,654,668,956,878,268,700,
053,953,809,068,683,342,580,728,352,678,285,999,980,317,897,864,683,846,476,
542,460,315,264,718,810,483,590,413,077,600,143,940,209,611,015,911,136,389,
104,472,309,977,120,575,183,687,473,588,015,347,584,322,250,279,327,579,439,
128,795,714,076,102,115,301,263,094,098,855,422,960,049,342,395,794,151,248,
607,107,068,762,347,768,616,537,893,420,998,182,095,609,118,308,543,720,117,
902,835,658,565,527,815,851,104,517,065,085,908,068,151,554,881,498,418,982,
405,527,310,668,550,486,753,958,075,458,053,248,525,087,842,126,684,296,216,
442,418,654,849,251,077,000,734,817,615,283,054,676,945,474,817,420,559,801,
481,739,862,402,245,167,929,770,911,987,755,234,429,197,691,225,668,426,793,
006,400,896,651,236,119,248,255,475,178,544,040,277,535,178,704,578,054,975,
288,301,867,402,144,134,785,184,008,004,781,714,061,135,168,492,831,883,385,
462,867,325,568,235,754,142,536,498,481,725,456,451,636,806,022,214,741,525,
015,211,725,226,485,457,476,485,543,460,562,693,231,751,049,787,522,750,031,
595,684,051,264,687,763,696,088,296,210,341,832,653,912,132,808,529,889,662,
195,914,704,813,104,731,830,099,585,371,723,797,461,469,834,150,436,913,265,
391,408,153,768,854,308,217,427,247,673,570,573,424,555,721,040,458,337,066,
073,690,207,089,214,170,801,848,045,695,226,575,356,717,988,351,824,531,718,
139,367,999,537,360,265,659,396,357,624,319,142,256,002,521,502,805,110,635,
285,044,056,508,723,706,442,641,020,486,082,422,348,572,968,140,434,100,784,
140,097,389,711,939,784,851,665,559,935,046,810,423,249,925,765,130,545,291,
561,417,062,266,449,114,065,075,619,986,653,283,807,136,503,900,155,502,018,
066,740,973,986,172,249,288,286,176,002,125,017,878,545,080,588,911,273,122,
400,993,765,785,503,455,033,712,721,702,702,345,223,322,645,773,398,129,922,
049,646,494,819,519,088,241,893,083,605,626,168,693,652,726,081,016,935,677,
445,795,104,203,339,050,787,394,873,259,592,368,841,238,569,677,292,333,755,
357,386,885,229,658,834,914,218,089,590,332,932,649,191,779,690,668,272,128,
642,861,134,270,884,184,684,155,428,204,472,735,272,077,563,221,000,449,213,
476,391,969,030,207,628,349,596,430,527,233,428,258,657,539,439,754,060,652,
922,898,639,351,098,525,700,593,640,486,177,751,444,627,781,905,651,667,067,
266,066,638,217,021,521,179,836,730,221,640,673,443,533,152,079,265,311,705,
117,645,210,603,886,144,927,110,909,148,687,164,796,462,131,822,198,939,794,
105,406,110,005,889,337,934,060,575,342,367,228,654,089,317,572,697,198,275,
928,134,940,156,311,638,599,873,049,796,758,584,013,498,767,896,531,993,167,
894,910,723,808,101,696,409,777,928,017,122,226,035,887,428,959,233,128,307,
035,955,000,819,643,360,187,550,165,980,961,139,332,942,519,986,149,460,076,
168,181,528,119,130,433,799,167,390,982,739,778,811,691,022,915,230,478,666,
252,292,752,964,044,949,598,662,460,394,576,178,017,851,897,596,116,639,135,
450,757,332,244,854,580,162,198,097,071,561,036,544,397,297,820,886,100,627,
469,073,851,460,332,189,398,226,075,907,371,466,128,093,522,789,931,078,652,
921,551,901,697,592,778,212,643,247,861,621,686,559,845,470,663,918,168,290,
255,147,805,102,967,060,414,458,872,120,659,125,210,850,484,853,784,410,597,
997,243,985,247,218,432,859,547,688,494,824,900,415,437,354,928,168,965,451,
460,259,102,985,527,843,871,519,640,963,867,165,393,762,380,067,903,720,740,
216,193,769,196,317,478,047,115,738,235,746,294,576,311,190,005,708,595,551,
543,264,627,544,857,469,528,317,600,407,151,908,223,256,942,777,302,733,175,
202,315,402,290,454,469,866,874,827,294,065,514,521,616,022,371,125,503,325,
271,831,087,879,834,160,842,697,633,809,031,997,883,693,563,344,801,288,185,
363,331,083,712,418,810,405,655,676,098,265,625,560,854,240,422,074,038,606,
528,369,863,839,787,862,144,661,483,745,143,739,384,138,227,403,958,567,462,
893,347,275,755,780,926,950,950,700,980,075,103,651,720,029,054,423,829,668,
692,558,451,119,569,060,984,692,286,407,529,604,627,799,268,764,578,166,271,
002,661,709,564,374,115,470,827,866,103,402,550,279,115,902,927,191,709,376,
221,698,261,965,717,921,152,201,784,000,985,500,964,711,436,242,038,786,407,
972,419,986,219,195,491,704,183,363,116,737,461,203,966,175,997,421,065,278,
538,303,737,697,967,403,362,637,804,817,863,619,412,272,408,687,857,126,609,
143,472,012,241,704,892,997,167,594,836,376,524,000,720,091,550,222,138,635,
358,638,824,433,649,267,579,586,882,017,497,439,793,479,009,641,212,334,771,
534,646,644,283,172,213,826,274,672,567,002,696,113,546,785,197,529,080,370,
230,497,307,308,629,888,983,882,317,107,756,110,337,881,105,014,495,731,775,
379,491,687,146,408,486,841,958,280,619,093,942,340,826,687,008,084,640,181,
894,494,127,562,040,301,437,179,396,422,147,327,182,914,755,703,727,515,728,
323,067,066,581,740,297,294,914,100,340,446,254,067,306,878,409,628,510,732,
980,119,026,932,637,945,669,212,265,561,212,511,294,259,836,581,894,193,935,
183,871,784,529,090,807,040,121,679,995,562,484,185,884,332,719,123,473,806,
206,338,581,589,119,005,864,670,862,412,302,299,542,838,077,785,664,356,778,
064,081,630,328,338,603,399,747,775,554,363,283,768,773,207,893,575,437,068,
929,122,817,072,193,081,027,983,078,784,097,258,128,330,712,196,001,625,881,
410,187,090,930,241,092,291,340,760,975,453,017,628,574,332,200,397,344,346,
740,046,880,147,969,317,937,440,063,363,250,844,363,103,891,397,038,669,642,
065,499,811,384,787,194,506,781,873,728,822,079,945,335,999,605,198,894,706,
848,875,898,503,315,025,798,060,136,824,305,228,541,393,281,981,900,286,589,
998,008,886,362,049,440,505,105,067,545,027,957,744,358,386,406,951,609,827,
210,483,114,432,703,466,645,245,514,664,315,793,182,613,492,842,124,968,011,
331,081,681,375,445,449,326,020,145,926,883,512,746,512,155,933,317,080,249,
202,541,294,343,496,080,402,324,623,574,626,477,442,945,407,900,265,647,771,
513,327,275,365,403,267,010,927,155,968,733,157,623,829,804,525,080,206,010,
708,567,684,096,443,461,892,593,904,440,680,331,607,247,268,875,704,659,497,
665,835,687,518,687,596,546,908,229,145,851,423,499,565,826,888,331,605,651,
332,374,851,762,062,070,598,565,129,064,621,341,128,026,409,498,221,670,883,
632,709,715,036,684,580,181,185,889,775,884,990,151,366,662,130,698,093,474,
429,791,118,383,906,093,249,508,336,405,944,080,430,270,487,448,844,040,165,
859,565,069,911,067,172,105,796,853,192,424,456,468,090,212,308,656,358,620,
526,294,449,750,307,366,376,671,176,062,234,004,746,326,739,035,654,775,729,
533,296,631,198,251,839,304,474,928,081,843,268,801,509,820,717,693,684,588,
779,956,553,911,429,879,266,102,195,728,164,257,807,838,650,203,941,244,557,
651,787,993,154,584,993,663,765,176,940,173,317,852,328,854,392,924,382,838,
037,504,830,265,484,896,079,207,335,147,687,020,028,856,835,837,733,311,801,
124,658,913,797,948,693,559,384,615,096,833,822,030,525,134,721,870,187,729,
094,487,787,176,248,821,682,902,792,147,013,834,283,732,746,753,268,718,572,
371,473,474,623,087,744,256,686,368,164,231,679,328,994,753,853,667,193,407,
458,725,920,882,078,105,545,072,735,042,810,887,781,515,622,267,522,591,811,
666,144,179,222,275,973,314,760,462,842,522,699,081,957,576,036,885,476,861,
943,843,054,303,171,306,430,652,995,872,723,373,004,297,986,472,349,578,562,
814,567,918,699,442,666,829,950,989,732,692,804,202,468,999,195,898,708,804,
540,848,678,308,227,300,190,910,395,902,047,999,793,755,164,431,261,352,459,
474,421,822,186,383,489,007,301,499,074,622,355,185,985,765,466,348,894,377,
282,723,510,878,926,564,773,544,669,185,460,481,156,714,292,384,243,399,761,
310,139,614,710,944,238,430,481,987,659,166,449,360,676,991,210,708,219,723,
354,339,943,493,612,056,527,874,115,557,854,686,318,548,086,796,504,177,935,
520,365,949,552,635,814,828,951,271,121,128,596,166,980,618,091,791,193,028,
878,301,155,162,405,280,150,457,922,951,301,639,270,335,744,780,681,082,968,
139,375,276,391,912,001,646,974,275,267,075,666,161,604,747,337,259,780,193,
048,082,476,588,004,548,162,575,413,713,376,923,648,075,155,770,289,487,740,
274,583,519,953,329,100,556,992,601,481,006,784,905,012,199,783,685,328,114,
265,226,142,491,221,290,788,254,505,757,365,804,698,937,052,303,121,373,314,
008,042,615,717,714,415,329,366,104,615,782,074,518,939,576,916,657,096,093,
216,319,244,590,627,369,311,072,655,754,277,306,925,799,747,138,360,234,414,
356,314,706,414,424,358,066,211,911,865,008,594,983,098,870,475,344,039,281,
229,435,200,683,244,035,002,077,844,315,730,613,233,767,995,543,179,581,774,
570,917,710,275,480,999,619,572,490,536,152,028,788,725,000,399,189,961,166,
750,882,755,075,456,034,415,838,111,905,601,538,682,710,270,092,946,625,370,
923,337,321,786,766,988,493,773,867,938,941,655,833,675,395,471,539,015,809,
508,895,832,026,266,326,588,020,076,963,609,593,657,296,423,115,625,546,338,
152,355,293,081,014,491,856,859,378,659,020,983,620,274,956,425,371,049,942,
685,804,650,897,170,432,541,195,830,736,859,008,354,389,212,565,898,792,315,
571,680,491,071,418,270,800,431,395,172,561,782,070,432,712,161,218,307,924,
982,254,884,417,659,199,776,228,529,299,253,472,338,745,791,323,889,350,924,
033,374,316,773,270,325,634,096,442,101,513,606,576,235,955,828,633,226,733,
629,340,537,279,163,493,203,339,851,893,002,448,605,871,024,639,726,847,162,
342,993,485,322,119,754,160,102,376,695,203,215,321,386,590,566,907,808,565,
916,526,678,166,090,939,865,870,499,731,462,545,837,804,011,317,491,364,450,
526,612,122,851,066,192,854,089,446,628,771,319,257,664,628,750,671,961,294,
635,312,694,797,435,895,604,041,925,925,806,733,883,437,306,351,867,164,841,
777,849,968,995,022,605,085,496,713,492,296,998,846,527,454,113,075,045,001,
011,831,296,791,180,722,378,209,098,006,311,747,038,088,988,702,362,875,538,
314,134,224,838,041,100,989,646,417,139,994,131,841,335,100,984,482,074,135,
383,645,063,430,800,980,866,505,813,691,770,801,445,789,877,737,435,492,190,
341,545,378,761,094,472,032,803,257,971,511,051,681,311,142,021,930,965,239,
530,417,025,181,520,092,787,477,853,675,891,751,154,239,797,211,452,309,230,
935,562,662,532,875,680,700,479,861,803,999,113,771,338,007,215,654,707,314,
092,284,565,665,989,953,454,377,689,364,780,219,972,071,102,651,378,918,819,
524,163,135,950,030,665,940,651,837,978,700,457,713,346,219,783,001,576,295,
847,698,084,056,625,909,245,592,833,864,171,346,718,300,915,800,363,015,695,
199,729,763,609,165,663,624,795,146,730,089,890,833,170,845,942,004,332,360,
783,348,044,111,907,969,746,180,202,260,532,035,885,649,356,637,036,553,125,
098,718,520,985,597,360,798,433,663,297,599,413,636,770,682,005,285,555,868,
638,110,898,526,348,460,395,863,606,206,579,967,104,576,435,460,251,049,624,
696,356,211,686,253,991,041,137,583,931,036,888,654,029,030,738,669,114,284,
431,484,508,934,620,483,110,402,446,499,979,554,158,278,810,956,162,566,001,
533,900,362,711,244,439,555,402,367,387,836,862,166,857,916,913,231,119,092,
273,538,589,484,748,271,635,739,426,365,340,143,254,775,706,326,132,195,849,
663,525,581,945,442,100,313,946,532,865,931,688,481,193,778,332,722,003,263,
852,804,356,663,254,489,259,636,250,263,209,788,242,312,667,966,791,533,982,
969,582,138,039,015,181,938,430,098,668,537,195,949,767,583,370,815,892,746,
857,647,079,310,840,548,549,324,380,776,070,706,533,116,242,621,217,026,424,
619,333,282,854,695,708,711,969,432,028,652,041,674,958,201,361,070,558,432,
078,491,906,312,050,283,766,775,382,727,705,504,282,601,026,133,797,722,998,
565,710,493,163,737,385,367,104,917,296,113,614,764,999,958,114,283,204,882,
218,087,811,468,404,758,405,747,684,426,136,772,638,877,566,242,181,235,234,
553,836,707,709,256,515,985,259,845,643,031,875,583,243,887,556,356,961,684,
640,410,907,660,297,399,604,723,563,096,364,476,294,081,271,275,609,113,592,
386,096,553,925,139,258,655,634,824,028,447,562,960,434,846,790,476,415,899,
539,772,499,921,461,508,832,477,080,889,083,797,681,492,291,587,404,067,946,
505,549,631,843,141,864,205,283,988,652,386,321,879,572,345,787,336,434,236,
160,064,558,962,968,561,645,124,083,782,842,741,726,074,805,615,590,679,699,
858,219,067,652,667,767,402,912,709,892,929,077,917,620,415,032,626,384,623,
405,108,353,628,031,157,516,620,519,061,486,813,142,311,243,630,070,793,762,
337,918,616,013,414,214,970,251,279,706,465,664,867,752,978,692,190,809,472,
098,419,088,532,190,527,430,627,725,605,490,505,900,815,148,661,337,649,755,
451,951,930,331,722,428,486,463,693,445,781,948,709,306,928,027,240,055,008,
691,909,560,064,214,023,270,831,790,021,658,017,269,748,350,674,557,064,839,
467,617,699,733,589,943,329,561,512,207,298,751,170,943,671,491,105,491,772,
380,411,563,517,956,719,363,320,529,511,237,768,847,590,859,637,133,806,675,
628,726,898,496,574,084,033,279,852,213,685,755,350,124,017,636,068,813,661,
736,867,776,842,076,699,257,604,233,980,441,069,026,336,357,493,079,385,997,
240,627,467,315,540,691,852,511,451,958,300,476,872,595,845,885,632,597,990,
522,938,613,331,354,241,210,163,017,840,530,810,337,501,315,603,432,499,992,
610,338,885,564,356,854,886,917,874,219,731,633,544,318,269,254,399,047,587,
984,483,838,325,393,574,275,827,379,059,099,110,956,902,028,532,561,272,768,
976,118,951,943,990,579,570,731,628,065,970,740,838,852,275,310,336,251,539,
855,279,444,386,096,419,484,032,349,017,882,872,294,829,970,076,244,419,025,
014,436,699,202,687,608,073,186,692,878,484,019,260,535,374,393,711,341,547,
045,112,123,276,318,623,038,002,255,845,118,008,684,844,419,075,192,903,369,
280,864,588,953,428,048,155,883,769,037,236,354,468,590,985,783,173,317,533,
032,439,569,907,903,365,759,315,557,737,041,862,109,266,407,522,768,607,097,
551,173,852,296,136,736,649,182,777,299,878,892,562,436,554,524,538,122,430,
372,080,687,872,733,788,303,015,408,710,449,835,013,081,168,510,820,424,837,
314,887,049,615,654,311,283,947,459,569,752,647,274,764,676,686,537,914,356,
312,690,470,636,768,232,530,691,034,386,765,560,643,935,107,236,745,120,769,
138,777,669,195,226,221,973,459,047,149,054,402,075,774,148,629,789,028,983,
170,715,272,564,018,994,461,611,251,838,738,790,303,962,656,386,654,738,832,
350,875,454,939,547,696,648,394,123,208,538,700,847,882,838,618,304,928,339,
257,748,274,039,380,624,363,347,046,498,050,355,997,012,006,577,558,744,713,
967,787,453,615,863,822,649,856,032,163,380,287,323,149,238,129,524,804,937,
587,204,226,328,419,056,799,664,616,452,103,318,121,008,352,545,622,653,939,
616,050,025,328,234,662,759,989,338,708,367,797,050,971,110,304,719,197,493,
807,198,295,919,358,102,785,634,722,780,970,997,295,706,941,139,241,674,493,
126,651,018,674,586,728,114,194,425,108,064,906,836,293,156,064,813,294,005,
911,113,859,627,067,832,669,563,046,821,986,507,435,894,445,962,660,877,351,
815,875,014,127,187,874,638,359,407,271,240,833,971,254,516,237,827,353,008,
768,729,104,837,656,354,523,204,067,866,270,492,288,532,067,000,939,509,869,
935,020,374,675,776,673,569,573,911,093,400,134,402,607,869,504,164,217,633,
271,476,930,579,455,076,525,549,726,761,681,643,508,128,344,188,342,506,796,
147,117,286,782,035,862,545,332,222,708,148,358,303,538,567,065,369,910,477,
839,552,448,830,953,361,563,625,732,549,354,954,926,492,536,809,622,688,906,
387,880,920,894,518,401,062,125,737,443,837,345,391,212,005,403,772,793,397,
007,765,126,056,417,839,963,690,333,931,372,886,090,514,086,798,457,414,817,
937,422,327,259,676,794,872,386,275,732,492,854,264,053,424,683,202,514,756,
649,506,399,271,970,520,305,464,484,187,224,504,879,671,415,440,491,131,205,
421,218,708,527,288,625,597,301,480,741,355,536,869,197,754,532,668,363,266,
450,634,642,250,265,788,657,549,877,102,458,924,163,550,637,915,120,778,404,
504,948,226,513,492,459,999,661,380,244,794,854,797,157,619,750,157,850,668,
808,409,492,073,339,388,081,051,255,290,864,889,769,681,792,660,811,420,589,
627,602,853,660,222,901,837,321,337,803,335,521,688,225,177,216,276,952,726,
757,960,993,833,170,651,188,974,806,724,161,859,862,971,673,629,719,950,963,
763,337,952,253,952,623,328,151,400,907,556,874,667,691,658,365,919,678,662,
313,499,923,079,723,961,282,340,578,426,289,515,389,316,758,438,171,651,307,
458,703,423,404,163,941,059,742,855,668,869,140,309,004,469,132,348,362,117,
388,576,726,751,260,348,946,826,936,793,207,745,016,866,518,649,430,309,164,
485,209,300,079,993,602,824,184,612,354,922,161,305,641,746,757,296,066,496,
079,495,939,180,033,287,317,872,100,367,921,437,156,008,005,732,108,585,381,
583,099,974,761,515,328,395,517,376,155,669,674,297,919,232,215,374,176,546,
457,900,000,011,756,800,506,938,846,819,783,205,321,258,487,249,005,724,065,
847,960,129,313,367,277,599,974,500,140,614,339,905,763,999,201,431,834,205,
726,235,571,515,881,455,532,861,598,441,155,175,306,531,184,393,996,536,429,
924,914,218,462,241,939,354,239,069,971,923,775,982,393,339,907,497,017,024,
655,014,071,251,542,213,497,139,131,202,605,328,782,408,313,546,040,080,169,
843,530,065,313,150,574,355,666,489,376,070,761,418,581,147,664,542,588,993,
548,515,699,467,468,405,373,803,918,155,227,863,186,570,012,702,547,657,786,
977,159,586,917,664,530,553,721,746,108,859,087,976,849,956,686,403,817,817,
731,056,175,476,433,421,541,046,938,134,292,680,084,666,918,900,032,044,000,
876,128,487,736,593,110,477,765,529,003,849,901,817,045,902,263,872,642,151,
474,612,275,063,561,670,627,182,650,481,644,340,443,477,912,866,824,724,995,
561,378,052,076,075,396,976,698,535,873,567,217,672,193,563,800,365,286,448,
334,737,395,330,357,549,643,236,362,025,001,139,050,420,459,895,702,308,885,
416,957,395,425,127,370,516,637,843,406,949,344,438,590,264,975,689,400,786,
856,182,776,288,689,421,572,465,617,699,448,262,665,056,959,679,891,897,697,
823,928,018,431,826,346,036,950,652,193,133,340,232,926,927,259,312,996,376,
965,238,917,149,434,039,757,136,243,091,462,485,818,221,592,466,517,885,950,
662,017,800,882,241,249,581,853,209,876,591,727,083,581,848,404,922,758,456,
495,300,248,054,819,356,367,035,506,787,690,706,423,379,943,915,339,146,585,
017,350,776,126,953,108,937,383,433,086,192,648,636,318,778,689,694,031,402,
949,079,040,681,583,179,090,950,848,459,209,572,893,480,813,868,838,008,076,
602,696,580,138,925,391,632,755,050,427,186,730,834,239,513,711,381,720,559,
585,170,445,880,428,719,736,115,082,580,858,876,413,354,388,822,952,454,684,
701,187,769,692,662,665,021,474,024,144,338,001,391,911,924,235,802,435,427,
757,654,414,933,249,031,474,532,279,894,551,182,366,678,436,342,814,564,597,
417,352,180,366,043,971,443,974,321,465,593,859,533,213,497,853,226,839,176,
118,363,873,311,555,689,503,960,969,073,200,291,816,051,598,158,279,615,364,
953,628,925,642,289,168,923,724,983,639,449,756,825,048,616,578,333,412,268,
808,044,260,899,516,911,364,623,715,147,382,619,515,728,352,029,119,727,163,
504,212,245,436,213,274,196,923,696,533,539,240,438,202,743,894,136,881,419,
218,308,060,156,338,638,641,919,554,700,716,940,664,810,065,775,218,911,860,
334,947,421,328,101,430,034,138,300,796,860,208,279,556,276,342,379,256,949,
538,506,019,110,662,085,668,884,420,169,837,550,335,108,897,334,961,983,319,
925,122,399,257,076,218,801,664,284,970,689,470,322,465,005,140,113,586,619,
082,928,178,832,716,872,597,818,604,417,479,125,983,359,390,687,301,754,733,
615,664,334,203,528,645,750,718,348,811,600,229,790,461,632,295,702,675,791,
787,211,868,224,557,849,895,916,847,758,801,058,010,920,631,647,401,088,999,
049,749,702,813,796,518,636,713,198,548,928,812,023,443,946,766,959,016,882,
651,473,470,048,796,261,092,747,341,106,258,092,351,168,716,149,816,965,165,
401,496,497,784,470,374,767,654,115,561,345,483,336,244,384,319,651,834,805,
139,372,696,697,524,121,970,011,908,230,887,753,513,344,156,156,244,243,812,
748,491,442,498,728,653,076,128,102,102,827,237,590,369,466,741,910,000,378,
519,371,771,825,632,002,428,636,262,890,231,511,156,748,344,008,357,069,910,
424,910,593,406,757,001,719,769,160,485,840,376,543,686,751,524,250,949,411,
523,496,692,305,791,226,059,699,254,629,147,800,997,037,527,004,047,451,231,
353,346,348,505,351,678,677,830,476,005,805,373,478,892,000,781,340,623,428,
464,628,600,618,831,565,127,422,661,042,458,974,024,952,451,317,983,949,594,
724,933,845,137,339,036,544,583,552,682,457,694,797,251,931,882,193,453,937,
618,111,746,848,210,097,469,985,948,996,168,998,508,381,669,343,533,985,932,
346,077,158,507,850,700,175,510,597,299,913,699,654,456,607,302,178,305,107,
357,079,232,122,577,020,860,399,071,798,625,323,113,857,511,302,562,744,084,
545,589,645,998,762,003,200,339,634,595,675,797,239,360,407,058,843,046,499,
135,503,639,677,020,488,460,983,262,987,435,861,719,605,222,013,277,962,503,
996,901,358,509,728,465,871,958,599,690,374,670,110,904,885,744,439,764,563,
387,336,449,995,719,169,652,565,962,753,290,694,928,734,719,134,051,596,216,
767,811,767,628,916,515,957,312,908,346,760,803,133,360,890,721,408,402,470,
589,018,492,608,416,725,772,439,697,445,020,164,597,352,543,093,686,336,182,
160,977,725,070,820,463,294,567,173,922,449,553,922,573,641,937,838,235,692,
397,419,063,174,699,562,307,179,520,704,466,028,387,142,594,659,347,936,441,
677,203,774,771,466,432,509,776,185,326,619,321,612,218,011,742,158,177,861,
010,707,787,380,704,383,226,818,461,341,239,558,152,506,430,399,447,767,594,
056,146,181,701,084,902,000,819,204,090,304,968,534,571,593,643,118,459,213,
815,506,417,646,849,438,658,743,054,787,362,089,099,907,055,039,642,356,136,
702,589,654,655,596,851,195,231,295,828,213,206,216,101,308,817,363,008,770,
690,518,474,946,769,670,986,116,858,924,755,513,620,470,570,206,342,855,848,
285,789,463,412,060,475,227,168,208,764,595,983,098,352,517,911,709,685,149,
079,363,497,604,496,877,037,927,222,446,498,217,952,347,825,530,331,941,326,
323,506,090,271,656,354,845,443,652,494,605,345,113,361,213,902,018,519,250,
604,566,955,493,998,961,261,409,405,057,181,664,019,863,931,040,004,239,356,
966,546,261,590,478,091,111,459,962,098,558,367,871,811,200,368,822,589,132,
065,248,870,815,291,364,367,929,810,145,746,888,961,946,912,536,546,410,529,
297,924,829,214,997,206,245,724,573,850,140,038,778,142,313,850,419,911,284,
191,417,718,361,846,067,074,719,169,793,565,470,004,904,727,954,627,072,521,
378,069,620,920,753,716,682,902,294,003,196,327,938,542,716,398,806,568,227,
207,927,515,492,998,513,673,414,772,408,424,752,359,332,100,218,508,062,126,
682,817,100,640,969,099,966,081,692,094,651,474,807,073,604,529,876,812,969,
034,787,637,296,544,362,196,075,737,535,702,929,394,797,937,769,411,439,963,
866,044,434,887,210,499,279,698,933,845,152,459,500,241,332,012,620,369,190,
603,160,661,319,652,178,289,213,912,778,458,334,612,690,964,706,259,824,544,
157,475,762,257,076,626,308,928,947,382,008,683,472,503,148,456,219,095,239,
291,418,422,179,299,160,253,210,388,415,346,806,894,925,836,680,603,840,212,
729,314,712,140,305,492,569,658,116,509,826,672,711,996,300,171,407,849,080,
291,498,745,832,881,344,408,763,509,150,253,649,588,553,505,140,378,031,240,
494,220,244,601,537,298,507,037,526,823,191,294,695,537,198,356,609,902,522,
434,138,486,046,520,430,685,895,006,215,463,487,742,662,130,567,418,534,509,
912,034,989,569,399,534,464,133,102,532,156,384,438,376,698,789,165,695,463,
024,117,686,765,795,006,954,471,892,832,631,926,308,238,929,523,592,180,267,
461,384,166,486,096,490,902,138,996,339,336,947,932,323,807,028,942,568,948,
545,161,734,882,235,980,994,401,128,834,873,374,047,008,352,745,127,582,666,
582,065,813,383,735,462,650,331,610,900,526,780,409,626,874,085,535,213,220,
181,108,843,932,799,772,628,421,599,850,733,723,981,973,396,354,428,187,191,
995,908,926,823,623,259,485,019,140,979,551,213,262,904,888,151,106,963,317,
413,015,067,991,981,395,588,456,823,203,479,465,288,463,131,495,445,930,292,
741,799,988,770,356,826,863,170,748,680,800,689,953,556,139,303,218,304,736,
354,374,948,253,550,611,922,119,222,109,112,190,207,018,605,559,221,790,517,
263,440,084,987,592,443,095,687,383,210,568,201,979,667,552,273,240,661,843,
149,066,694,021,836,044,877,273,092,950,375,339,266,798,133,379,032,988,302,
756,108,204,679,007,282,813,293,109,960,372,862,929,377,224,530,275,504,111,
003,161,341,452,306,835,534,472,756,097,750,821,804,450,549,796,715,952,636,
409,585,736,396,204,049,738,924,017,698,891,032,070,000,512,381,137,467,504,
388,707,832,043,213,710,377,632,454,427,679,832,877,853,756,304,629,087,547,
043,828,452,850,299,559,061,878,115,920,134,581,934,169,582,775,030,911,431,
335,417,616,960,610,613,181,234,407,540,222,440,968,942,169,228,798,667,193,
655,004,634,417,418,674,503,736,615,904,861,892,108,353,094,055,853,794,261,
277,408,581,459,646,801,095,427,073,904,949,069,166,771,073,295,945,717,965,
261,823,369,188,346,153,929,732,945,019,775,972,524,454,960,327,787,835,918,
895,951,489,016,369,493,637,535,511,170,833,583,020,017,883,561,024,189,064,
204,511,125,226,481,332,023,785,979,382,589,053,130,220,752,357,396,068,866,
479,081,289,185,390,061,104,185,740,649,870,754,988,044,408,767,366,837,515,
798,075,064,986,464,259,517,013,996,622,567,548,159,005,312,170,289,633,291,
008,985,136,091,923,756,860,088,448,792,516,641,072,431,651,655,561,457,098,
780,944,557,506,559,956,031,419,373,983,078,568,474,676,421,128,044,907,536,
236,879,762,393,928,044,714,620,411,482,336,758,119,185,296,553,816,452,884,
400,828,068,201,971,881,255,898,621,653,335,733,678,248,001,234,802,609,571,
897,896,645,550,790,534,760,951,851,207,234,269,198,307,429,352,217,132,679,
552,441,276,233,930,745,657,149,651,467,858,603,761,938,455,299,082,874,115,
008,664,664,988,555,334,727,756,647,395,547,412,556,776,964,652,053,008,994,
538,462,389,306,616,607,516,171,503,638,559,726,520,117,587,762,636,103,053,
673,191,400,317,116,898,773,965,014,209,826,318,224,347,034,539,309,854,131,
649,081,628,696,939,737,800,942,950,627,468,389,574,983,001,436,660,687,550,
508,542,669,061,917,503,858,095,576,591,880,724,130,670,391,008,186,206,739,
134,607,307,216,980,823,736,452,119,122,016,177,586,139,571,197,500,678,511,
027,200,477,113,925,140,935,303,974,287,060,354,925,588,383,028,391,604,658,
724,840,052,284,873,800,317,991,517,810,605,689,109,134,712,535,407,806,216,
329,634,521,014,511,910,922,582,294,719,697,614,132,241,820,349,712,131,796,
085,021,143,292,296,740,198,648,882,462,871,648,933,979,342,729,888,742,232,
355,872,752,611,567,671,117,292,540,341,451,457,477,269,547,593,286,363,990,
842,355,890,005,598,641,357,335,552,720,262,801,006,434,928,039,285,543,191,
433,322,250,186,102,272,564,529,405,701,489,510,895,717,644,917,368,819,389,
429,891,856,715,315,550,917,643,376,900,411,965,740,783,447,259,104,239,140,
709,300,736,530,131,365,585,724,789,299,322,332,396,276,331,093,030,663,127,
394,520,734,022,747,176,764,579,420,195,702,801,457,406,649,048,254,746,443,
341,928,871,919,425,395,151,628,897,451,063,682,002,814,376,331,750,813,753,
567,469,749,705,985,687,140,843,005,443,477,721,442,521,286,851,617,534,349,
223,628,289,280,719,964,081,773,447,607,926,894,641,877,468,885,112,883,709,
865,352,699,105,934,184,168,385,621,300,684,735,328,867,583,766,416,353,236,
919,359,933,939,586,395,044,820,404,724,267,668,517,354,483,328,703,362,340,
747,419,591,022,909,840,076,937,893,526,782,174,493,041,343,790,372,455,277,
094,915,923,897,083,566,456,135,695,075,163,652,510,689,632,820,018,647,946,
009,656,242,637,017,247,862,799,561,154,547,342,627,618,600,214,790,461,804,
390,836,686,163,665,843,723,579,995,042,444,339,426,559,467,856,885,144,839,
787,482,344,373,713,414,617,971,881,780,597,959,555,199,470,721,303,034,679,
219,407,097,024,238,043,430,375,524,510,086,728,610,590,335,841,692,174,307,
411,539,463,439,732,665,590,283,894,055,758,807,453,108,021,061,980,129,909,
537,625,733,574,608,251,455,595,939,407,654,715,478,144,898,334,204,951,043,
691,374,571,646,395,119,807,487,972,195,006,342,051,630,452,192,068,000,808,
519,056,917,039,188,035,796,966,689,625,898,476,613,159,793,133,818,481,350,
247,715,639,676,552,330,320,201,940,679,900,502,627,512,542,248,114,651,216,
607,685,838,326,713,684,086,937,173,731,334,550,490,305,959,408,105,733,629,
789,081,233,570,961,953,220,070,414,112,823,882,628,470,865,640,844,638,461,
097,561,117,416,944,510,540,438,600,859,701,581,503,567,023,942,862,918,943,
598,346,031,573,264,179,137,214,048,802,995,658,835,007,647,833,538,404,977,
652,955,938,177,167,181,908,843,883,648,867,744,380,321,553,926,113,920,394,
351,950,822,712,778,999,808,905,987,806,177,063,270,055,197,525,170,953,324,
202,600,173,143,421,164,250,982,187,100,828,674,897,127,414,092,526,034,427,
126,293,679,882,217,424,966,937,748,630,725,979,013,261,738,268,577,991,118,
688,472,521,512,708,572,452,260,745,535,830,329,913,937,417,553,391,260,650,
351,508,827,572,744,869,632,028,837,972,458,160,268,767,859,914,632,974,162,
495,365,616,598,608,362,745,972,639,156,114,199,541,816,703,884,915,957,761,
257,137,646,534,614,854,250,930,484,940,156,293,721,584,274,445,956,215,788,
009,038,213,772,696,041,884,095,546,129,500,915,320,596,159,293,855,727,913,
057,639,231,411,329,131,345,882,775,494,903,237,281,008,688,038,184,500,241,
053,164,246,030,452,602,778,027,491,526,702,817,573,746,276,751,695,994,736,
360,809,627,833,463,716,012,877,059,097,779,961,483,275,302,363,327,304,641,
198,948,869,973,559,999,644,364,549,661,201,713,705,913,498,426,135,246,067,
785,236,078,032,605,466,990,060,610,935,566,006,438,581,767,825,371,406,216,
701,143,166,361,340,328,083,493,540,594,290,931,577,438,226,597,532,492,290,
808,615,313,007,855,341,617,714,410,529,155,645,872,210,654,676,763,545,627,
702,728,768,959,731,331,315,373,946,461,163,739,471,811,444,554,825,093,113,
159,537,783,522,584,058,262,474,662,647,470,553,118,603,875,380,416,835,939,
301,872,063,591,367,021,936,357,370,536,043,555,253,150,982,617,607,743,328,
911,546,575,724,901,513,434,556,164,928,110,066,869,355,562,569,229,192,859,
015,275,901,993,656,654,100,663,373,652,083,138,206,136,266,914,671,203,909,
562,749,020,617,063,848,080,187,933,443,065,678,057,308,484,512,311,841,739,
101,781,632,306,219,356,884,190,373,032,922,861,927,798,324,660,949,137,269,
948,858,758,681,312,508,472,386,826,699,352,749,586,307,992,020,123,196,416,
941,414,754,682,152,610,762,310,149,235,093,291,453,766,962,993,726,083,425,
093,992,997,363,991,551,955,889,955,876,925,912,269,246,360,630,085,757,718,
377,835,632,927,616,917,501,574,837,928,982,511,800,769,647,867,983,216,780,
079,050,343,897,702,311,402,206,379,599,014,605,744,322,235,709,519,114,253,
937,321,444,931,679,548,248,932,494,990,392,610,868,705,924,408,981,340,043,
454,271,600,652,110,834,586,735,424,269,513,513,690,204,799,616,669,893,972,
067,865,753,916,286,188,548,402,396,075,016,872,215,319,020,990,535,809,745,
808,051,081,065,784,121,634,305,385,701,702,230,267,886,111,492,230,359,874,
222,683,784,977,090,243,657,756,516,385,294,405,964,264,526,790,023,747,699,
255,336,133,844,227,489,510,276,556,605,103,979,181,264,942,446,989,738,064,
660,901,758,444,972,393,878,329,393,359,736,045,647,630,500,721,278,335,115,
553,711,077,916,152,957,453,852,634,545,978,301,546,419,797,870,513,253,065,
515,968,910,163,595,721,423,312,734,531,130,676,463,926,266,837,381,557,706,
554,994,754,470,714,844,404,629,275,825,006,283,276,833,447,844,017,857,740,
893,762,615,328,713,716,277,286,487,301,050,420,808,536,346,186,856,473,880,
007,739,483,488,237,392,766,878,975,400,234,086,988,171,573,618,626,602,267,
869,670,160,666,610,633,901,834,107,198,277,967,681,732,175,569,889,795,344,
477,680,881,760,180,762,069,522,503,681,568,467,761,407,436,550,096,697,757,
637,396,971,556,807,240,798,775,454,478,977,241,998,401,113,770,287,312,556,
036,844,037,775,239,428,368,642,951,118,813,769,961,975,872,306,141,870,586,
081,867,218,607,096,426,478,747,354,904,131,887,177,984,651,869,340,131,127,
954,351,200,143,142,549,969,960,053,881,475,223,953,686,357,855,439,473,364,
465,499,375,261,908,001,465,246,157,135,636,203,504,630,469,268,366,166,056,
441,009,834,298,078,149,732,347,783,798,501,521,159,019,539,491,292,462,976,
403,760,606,776,268,008,780,272,588,662,115,736,214,549,124,088,974,135,565,
945,480,209,887,527,384,986,918,327,622,357,257,764,104,147,144,611,257,869,
526,285,013,763,915,448,028,863,323,675,980,939,073,028,117,554,697,534,329,
691,753,811,427,338,278,309,633,851,162,015,483,176,756,276,804,619,212,477,
736,018,843,876,495,568,477,346,913,513,497,218,287,883,806,512,352,073,287,
878,390,806,369,258,006,037,732,909,452,831,940,540,116,478,317,909,377,431,
993,744,963,592,931,186,061,691,512,752,138,815,876,909,295,384,554,514,720,
532,147,943,349,724,228,612,779,591,978,939,126,822,256,595,052,737,764,479,
337,009,078,300,124,154,442,240,899,470,161,923,280,452,940,853,690,361,404,
035,344,994,786,850,294,185,109,794,934,424,046,375,794,565,742,148,201,956,
702,836,475,983,676,440,138,742,708,347,528,746,038,892,239,664,145,649,568,
085,549,782,706,082,903,138,433,944,573,799,868,779,362,905,918,497,522,823,
248,078,448,396,808,156,465,023,193,373,733,741,164,371,534,026,159,012,601,
572,687,764,279,602,429,775,033,595,018,857,697,338,470,979,424,185,612,819,
503,239,130,463,980,737,706,190,390,309,821,844,215,655,234,563,161,532,693,
181,802,575,122,371,500,979,453,747,050,053,466,674,366,618,361,650,464,105,
379,133,766,638,494,171,630,034,980,439,491,460,005,640,629,846,952,320,931,
232,162,465,620,217,857,057,089,802,864,204,434,860,001,505,426,379,337,917,
761,519,152,007,746,223,700,664,555,781,472,811,489,938,005,006,049,323,379,
764,822,771,572,247,350,689,887,777,519,146,587,633,939,358,522,652,233,473,
651,438,560,322,348,873,602,278,558,473,653,482,777,884,150,962,412,182,888,
723,423,085,175,846,094,520,867,526,404,544,095,048,768,570,843,236,724,802,
567,592,634,934,990,823,616,862,241,797,627,334,715,370,468,405,654,951,614,
381,818,497,209,882,263,177,463,617,897,122,146,880,178,268,470,460,015,095,
856,670,747,580,621,172,990,631,926,387,749,207,258,420,655,680,573,513,044,
284,182,801,826,239,656,342,796,667,353,767,558,081,102,714,741,999,718,370,
891,118,175,722,286,719,784,533,648,464,627,959,791,149,724,850,076,503,893,
142,005,727,687,732,018,282,939,698,350,355,337,272,119,236,866,551,921,341,
405,327,391,200,071,553,636,318,789,369,201,923,380,494,930,047,470,679,291,
670,933,129,148,865,524,640,685,832,127,733,713,161,460,640,639,871,003,475,
870,931,384,801,628,263,793,577,546,870,799,752,247,646,063,799,019,508,300,
462,373,418,519,238,454,639,987,587,797,082,271,062,514,438,353,536,659,184,
215,580,876,684,254,241,455,589,828,850,036,233,373,116,381,690,904,934,360,
771,452,948,115,234,956,942,707,527,682,564,913,078,364,690,490,366,705,841,
273,746,427,328,608,448,563,074,392,108,891,448,355,854,374,980,925,310,745,
595,601,684,268,831,335,433,483,017,775,101,726,583,601,947,268,953,961,972,
230,879,702,706,942,066,551,228,336,721,223,625,594,194,490,084,208,466,144,
338,546,000,808,813,345,982,386,126,207,264,884,015,842,766,486,629,847,466,
561,606,578,482,649,860,467,654,164,641,536,561,121,492,540,113,516,747,118,
967,574,587,662,099,720,401,782,112,109,675,604,661,029,332,889,679,631,288,
738,477,349,506,223,656,282,097,338,636,054,664,712,441,701,682,216,622,128,
057,314,668,025,058,255,450,517,864,502,126,267,251,188,907,351,825,269,411,
518,350,239,661,462,750,146,192,379,992,923,973,382,799,333,463,374,090,159,
218,419,441,173,047,116,047,316,913,095,197,679,010,285,346,816,275,772,014,
430,596,019,582,465,897,219,650,749,184,155,657,367,831,809,748,542,592,148,
011,397,959,978,291,229,261,481,972,188,656,478,086,349,188,227,544,955,604,
546,780,831,748,883,473,258,730,384,912,319,198,387,531,599,139,797,557,160,
198,894,590,889,425,750,669,480,642,258,086,041,824,925,086,508,642,462,429,
468,798,475,690,732,716,777,925,254,164,134,527,672,787,489,831,646,409,422,
296,391,325,609,444,621,995,461,466,172,539,908,103,376,412,344,516,923,186,
510,553,646,943,654,157,375,276,161,959,390,457,017,716,538,295,756,322,438,
327,834,476,584,673,359,399,427,692,996,357,511,595,390,422,337,160,816,660,
355,836,036,779,178,070,065,826,605,194,168,342,485,256,674,836,106,442,838,
007,485,024,954,881,058,884,006,393,265,534,008,662,476,274,263,952,585,343,
740,000,619,580,256,549,062,352,355,517,585,416,500,197,093,379,583,836,388,
493,963,289,970,136,663,969,026,993,798,389,746,765,776,589,069,464,279,916,
128,808,325,111,526,675,919,021,637,183,787,125,930,319,277,143,044,284,342,
262,638,206,824,883,122,542,915,230,088,471,631,544,070,867,695,931,878,416,
910,590,633,492,305,856,344,764,030,565,534,312,674,143,895,115,081,311,414,
952,365,340,640,837,136,489,858,362,080,689,395,785,643,539,724,189,865,872,
085,974,761,447,788,861,581,630,013,091,642,325,554,053,819,271,676,535,721,
060,782,551,404,453,926,435,515,182,657,137,796,654,634,177,062,132,057,612,
676,069,940,446,804,260,560,500,764,041,429,204,841,348,924,700,826,322,010,
516,930,338,296,808,200,888,622,967,775,763,774,108,757,250,217,266,186,908,
307,276,594,831,356,493,790,130,965,329,313,894,956,718,621,548,547,146,340,
092,566,594,342,968,105,422,692,300,355,459,103,297,761,410,650,746,941,381,
880,306,054,611,770,401,216,191,955,021,054,893,746,921,599,494,956,601,575,
955,169,663,125,287,736,111,809,740,976,696,535,296,943,330,523,011,897,050,
973,787,399,450,804,210,355,700,171,063,236,336,900,209,736,397,932,765,963,
201,821,441,239,395,546,526,827,478,230,793,136,810,722,979,956,313,040,319,
703,703,545,748,167,146,178,375,110,415,203,502,634,145,440,605,117,301,926,
225,302,654,362,652,350,949,312,659,365,451,861,337,529,072,932,757,394,507,
730,037,511,370,238,573,494,031,360,227,981,266,218,248,780,706,055,062,637,
144,839,287,636,279,312,507,461,985,853,235,682,759,181,683,728,680,419,546,
340,996,784,209,468,235,276,686,732,600,833,457,047,349,227,974,217,873,184,
814,465,238,569,942,369,369,944,446,382,543,956,377,274,803,109,347,566,872,
585,233,168,972,436,073,305,845,853,954,049,615,954,758,622,889,141,776,022,
867,267,380,692,368,210,736,210,664,684,888,760,783,426,425,895,624,726,950,
857,970,678,208,895,984,740,091,773,308,567,180,800,666,962,947,039,997,718,
398,060,437,011,455,714,428,382,916,377,797,732,715,519,970,670,421,482,993,
799,811,881,369,321,770,789,855,236,162,264,759,567,350,582,353,647,084,650,
648,891,373,024,006,275,739,267,710,801,767,303,476,724,181,185,454,297,845,
446,674,262,176,236,890,956,179,943,554,713,434,312,862,048,402,389,821,583,
758,506,090,767,571,363,798,074,452,001,195,173,603,682,638,575,997,401,876,
070,011,963,835,936,066,982,550,573,530,017,517,269,544,956,127,786,599,550,
121,240,748,731,151,441,713,103,171,732,691,927,071,252,267,197,848,352,804,
643,517,346,871,549,511,384,525,312,429,803,281,328,918,229,408,985,318,371,
079,897,552,288,304,470,250,804,859,838,894,431,022,288,678,367,393,172,639,
916,871,874,986,416,889,141,422,207,197,796,752,891,392,084,977,511,484,282,
285,555,145,924,334,815,684,020,765,874,543,132,688,139,040,889,789,260,744,
518,163,988,744,402,700,005,088,236,807,261,429,086,062,442,213,370,709,589,
050,248,234,117,909,845,283,921,365,824,872,710,556,526,203,348,639,726,002,
940,428,934,356,893,562,632,352,177,380,965,876,686,684,831,281,226,154,108,
908,967,325,346,046,230,969,069,716,282,958,863,284,946,064,076,747,842,862,
812,839,521,784,890,844,642,908,787,445,054,248,112,085,808,613,469,934,531,
607,816,170,489,234,877,313,825,779,591,535,190,011,277,784,929,665,209,290,
589,291,451,961,774,589,467,315,181,482,248,619,286,405,057,284,350,875,582,
609,346,122,538,019,395,427,161,290,192,668,745,894,973,363,903,100,780,743,
671,528,723,780,519,727,199,218,722,608,233,246,148,731,077,163,083,296,545,
670,554,986,299,168,523,727,841,429,156,597,611,079,447,828,095,793,546,968,
066,037,228,609,127,011,740,890,015,494,197,061,572,205,834,281,531,583,742,
113,660,318,059,469,981,303,261,200,656,972,590,098,899,614,628,416,306,043,
695,908,920,061,364,034,363,367,103,987,237,751,675,765,110,017,026,971,226,
167,146,666,887,504,891,456,158,725,019,217,226,669,856,023,818,678,115,050,
540,082,928,894,142,429,827,982,684,259,752,888,838,652,507,136,566,813,518,
622,948,915,725,757,154,429,892,005,039,001,445,057,346,955,366,347,552,191,
000,515,365,841,696,649,998,375,181,293,622,940,515,652,293,369,858,258,403,
832,473,657,109,089,518,958,266,932,084,123,969,389,102,735,607,609,744,257,
378,948,559,579,657,625,020,665,715,982,520,322,217,218,935,985,596,894,853,
825,550,858,634,505,439,174,977,845,976,971,540,344,481,937,959,330,536,467,
476,210,194,588,142,157,787,231,888,387,758,680,956,098,749,150,217,015,382,
799,587,582,148,180,715,591,926,403,292,871,170,009,910,133,947,209,535,344,
525,379,605,868,935,684,950,509,829,232,911,194,887,299,858,696,226,941,007,
594,915,708,324,705,667,445,367,695,977,805,001,689,595,658,449,250,358,224,
613,592,712,280,188,587,607,990,204,493,214,557,417,902,721,560,036,652,515,
542,272,294,481,938,092,182,052,366,729,171,241,492,967,681,943,028,286,828,
721,307,424,349,829,321,765,727,771,632,426,807,102,661,841,145,736,080,421,
003,963,999,995,143,422,859,134,434,693,758,277,911,817,694,319,570,335,680,
576,222,865,848,339,049,926,935,231,408,030,150,339,580,609,392,378,393,197,
059,843,847,848,262,521,750,381,567,565,579,355,706,493,477,364,004,096,497,
392,512,218,780,803,544,647,996,376,873,160,158,720,224,539,852,296,992,975,
986,775,817,635,140,523,560,588,933,052,846,772,554,617,334,694,783,642,984,
347,686,605,304,260,877,662,801,122,606,109,249,757,079,191,266,484,872,377,
812,438,374,943,270,788,976,492,760,345,038,190,619,050,939,754,458,262,522,
629,968,930,631,581,255,650,992,341,549,077,991,279,271,589,103,358,854,435,
662,733,983,827,613,081,778,860,899,771,964,329,130,807,659,289,053,980,086,
884,323,663,022,376,006,539,860,607,848,727,035,949,475,240,811,884,672,690,
551,259,008,683,570,073,300,755,152,330,919,115,691,025,816,755,898,895,031,
991,267,443,188,464,557,326,338,533,273,151,134,878,040,050,722,990,426,943,
375,888,948,763,793,033,107,831,927,042,214,595,334,987,886,314,357,992,760,
391,759,249,099,227,421,320,698,852,620,470,073,167,328,584,741,820,362,829,
675,439,986,475,689,256,013,860,297,772,390,783,228,962,101,992,113,362,458,
431,017,386,086,759,202,618,590,682,014,259,240,367,199,226,253,675,622,259,
030,778,799,480,022,551,053,957,080,270,785,423,424,600,122,969,758,253,184,
470,785,493,729,690,296,630,688,890,496,372,266,163,592,344,024,510,761,326,
273,015,709,618,962,400,278,294,940,769,261,145,383,514,079,839,675,800,176,
024,000,834,816,828,371,774,703,569,157,648,147,561,527,402,747,610,841,250,
075,919,139,361,238,945,071,208,213,143,911,020,878,740,565,270,337,097,136,
928,184,071,476,658,019,434,545,840,060,409,914,700,351,017,163,293,257,105,
343,243,271,032,518,817,901,964,387,476,061,428,144,592,989,106,143,818,547,
331,131,079,872,513,524,856,984,342,658,033,243,184,427,003,349,160,661,917,
533,242,149,460,390,414,816,331,029,997,622,009,616,333,207,130,455,301,419,
930,217,000,431,767,834,539,507,387,697,909,334,994,333,429,659,824,515,602,
569,155,903,287,854,518,575,405,826,030,086,898,654,351,428,504,002,114,212,
598,113,507,550,141,400,648,160,164,403,322,269,998,064,911,335,774,871,761,
184,574,686,289,543,053,756,423,576,386,508,022,113,293,277,011,193,320,808,
662,089,401,274,264,384,833,984,664,231,647,933,904,715,096,617,608,681,315,
097,468,691,916,869,979,976,174,322,478,234,285,394,348,243,977,827,349,437,
010,134,834,590,294,947,257,088,559,666,244,982,029,525,749,521,988,993,454,
736,242,806,680,053,993,847,530,534,261,984,852,430,424,630,177,581,257,233,
762,892,528,227,865,184,151,628,776,151,334,086,293,631,954,983,211,444,029,
148,625,463,040,398,196,828,092,920,890,177,938,075,378,561,078,101,932,513,
463,445,997,741,023,577,513,432,878,192,283,318,024,650,717,014,546,553,879,
317,429,754,775,635,359,784,042,197,699,224,579,107,004,982,425,178,685,205,
413,850,502,200,278,131,293,956,989,263,949,185,762,663,325,879,110,943,688,
328,164,373,646,808,072,293,520,191,046,558,203,076,141,666,475,299,644,020,
386,851,022,639,366,957,481,077,551,465,014,629,775,061,188,560,217,164,388,
397,877,313,628,191,845,205,397,568,028,973,393,892,948,879,534,080,805,080,
230,239,184,187,557,296,766,707,850,492,531,474,758,998,521,377,484,689,105,
165,134,041,231,836,840,647,599,312,314,668,147,089,297,553,621,107,536,413,
320,529,784,054,422,004,536,536,880,875,211,478,645,331,091,446,060,498,709,
578,281,884,531,562,568,136,757,081,233,186,515,398,106,725,006,345,312,336,
077,039,565,504,082,039,330,500,104,572,048,911,945,317,474,785,485,463,753,
179,901,459,884,572,137,663,251,885,578,314,430,798,047,633,647,607,203,887,
175,519,763,981,703,463,635,011,387,854,007,213,657,889,344,348,155,841,474,
930,024,453,294,631,485,414,280,014,627,026,396,237,608,832,128,032,412,708,
786,554,894,680,735,916,283,491,578,751,877,558,872,362,100,691,257,941,408,
795,230,312,267,542,037,234,173,551,031,784,228,918,908,890,715,170,616,420,
549,952,937,159,832,320,393,077,170,510,212,469,287,670,666,993,073,907,706,
844,917,625,376,272,140,867,911,914,871,812,868,425,651,412,182,827,490,565,
907,377,124,569,045,393,250,650,545,593,933,755,329,748,995,752,310,383,561,
182,492,937,052,104,255,056,337,745,030,703,971,995,191,104,098,322,161,171,
509,294,075,439,505,484,422,758,331,228,334,926,936,005,179,268,532,899,024,
056,598,930,121,756,505,578,259,048,234,883,346,289,522,691,516,037,167,307,
190,910,797,819,565,678,558,711,955,462,049,863,773,845,278,331,746,639,902,
698,887,722,489,072,755,227,024,055,189,025,267,801,599,949,319,846,031,955,
365,889,828,228,146,066,144,887,296,521,606,420,300,190,439,516,048,173,842,
285,806,544,883,010,207,650,778,922,917,474,612,942,896,068,066,292,492,167,
759,019,643,501,097,188,266,460,081,860,703,123,712,932,365,980,837,780,292,
143,985,038,376,752,249,901,355,899,395,821,631,314,139,861,438,221,182,281,
243,041,638,375,790,734,312,963,550,108,947,230,935,529,489,477,931,512,792,
201,305,511,893,851,217,532,395,147,231,788,875,129,230,801,262,269,464,449,
679,044,976,128,769,103,905,408,785,941,047,087,794,981,533,562,881,942,979,
528,036,580,114,522,048,045,122,328,502,706,435,364,945,150,660,215,510,394,
569,151,259,314,815,605,313,128,793,402,657,307,251,317,326,937,771,191,507,
168,165,303,206,634,674,025,392,399,123,563,952,715,896,101,185,143,729,607,
473,143,139,882,647,922,177,321,020,019,745,789,895,822,645,564,698,086,536,
763,793,275,892,448,318,769,690,994,895,742,423,114,519,187,358,449,468,544,
942,834,261,557,249,440,859,331,035,081,192,057,651,344,641,843,243,546,091,
753,700,443,408,514,115,607,745,867,849,213,603,106,575,937,631,922,150,044,
433,688,001,108,223,157,441,702,294,508,935,827,145,424,604,738,798,410,992,
215,497,432,294,413,213,866,233,997,057,813,604,346,776,095,767,332,164,564,
431,584,570,953,470,804,048,460,652,390,300,535,147,636,278,607,587,884,197,
389,003,016,491,868,143,012,298,833,283,587,827,078,195,209,234,342,577,557,
681,905,778,428,447,943,709,809,817,940,764,896,169,419,599,450,409,697,344,
990,561,940,647,614,248,116,676,374,740,235,657,997,484,302,116,463,574,073,
600,193,543,995,158,959,118,943,219,432,999,471,593,143,242,191,456,865,265,
437,807,197,603,979,837,551,410,910,444,733,483,467,287,033,756,858,726,094,
063,239,363,974,210,400,046,553,666,838,738,536,241,072,704,482,447,784,103,
175,451,095,670,890,256,458,804,637,370,178,071,140,169,764,529,705,990,287,
536,301,154,639,985,616,929,770,728,760,389,880,494,585,904,551,586,593,004,
231,740,809,119,866,712,439,114,180,780,811,960,899,195,982,858,968,082,073,
287,552,387,799,873,409,815,928,161,895,791,458,615,145,746,542,571,958,497,
672,128,974,957,750,056,586,370,192,528,763,878,805,501,795,802,654,773,054,
763,138,662,670,023,152,629,299,446,143,727,345,398,701,741,286,155,807,207,
715,804,341,119,376,819,517,191,579,174,923,042,148,099,853,268,806,790,347,
425,668,062,159,615,472,194,716,109,873,593,260,042,732,984,921,469,941,205,
210,369,971,572,270,144,374,378,785,027,884,220,780,504,134,172,289,476,979,
803,549,422,736,999,457,841,547,715,857,835,521,710,011,215,467,197,015,101,
781,320,041,234,791,187,521,507,848,855,436,473,496,312,702,251,382,504,421,
961,590,549,370,345,404,095,017,296,442,234,192,858,935,070,128,176,472,903,
870,110,960,491,167,402,910,149,184,001,333,612,545,152,725,490,240,900,602,
714,619,168,004,094,301,732,034,569,828,728,120,929,647,193,594,855,307,155,
321,985,702,668,926,676,591,510,428,349,385,785,991,190,750,260,415,727,321,
616,667,380,539,440,263,683,225,056,591,445,665,225,081,314,167,021,973,924,
830,901,019,947,465,392,498,918,818,035,197,172,422,059,736,013,356,129,256,
524,605,767,565,099,883,721,746,031,674,158,918,063,926,508,120,521,597,517,
716,416,445,871,510,171,065,982,959,629,883,377,047,525,475,904,439,802,487,
187,877,649,581,842,182,219,724,818,576,272,174,084,437,696,156,155,744,186,
871,838,619,690,471,628,463,816,288,189,762,043,312,442,250,814,975,531,617,
428,066,846,060,730,391,439,466,574,846,402,457,456,369,194,155,529,627,396,
541,956,344,544,818,810,968,215,407,624,278,732,657,175,295,616,210,601,548,
785,018,731,459,320,025,223,203,330,723,007,686,886,148,234,671,535,945,494,
649,298,640,651,395,366,947,293,334,335,352,258,934,878,053,141,016,301,390,
074,072,248,491,724,473,177,462,276,033,189,103,223,472,846,463,787,616,111,
968,530,485,838,777,888,165,974,981,800,487,638,120,316,917,675,977,977,107,
136,115,282,013,002,933,621,004,707,772,768,421,021,860,398,512,414,321,570,
964,543,736,988,943,833,396,724,223,520,721,105,196,221,913,565,756,506,773,
160,463,819,165,817,699,666,995,068,767,724,881,795,220,106,662,721,217,644,
797,703,945,825,413,290,242,768,042,670,719,852,753,404,251,059,882,016,726,
568,010,530,320,204,304,561,554,882,864,919,414,253,217,784,452,473,321,279,
685,941,071,276,686,168,760,156,407,879,343,318,023,399,777,747,645,692,549,
580,815,289,049,372,495,164,234,157,237,047,561,472,253,439,211,940,755,933,
262,949,565,197,384,545,859,583,532,832,498,645,203,438,253,746,734,659,338,
725,492,367,204,379,757,267,320,310,756,233,239,003,020,491,620,801,229,073,
829,242,108,987,558,422,500,512,091,457,709,951,161,577,171,619,657,230,671,
397,943,668,055,175,950,273,850,453,900,134,922,236,587,420,170,016,103,473,
797,384,255,731,419,356,111,392,532,472,218,583,127,942,735,435,471,635,968,
034,854,411,532,150,246,547,468,136,508,639,731,010,373,425,309,995,855,520,
464,775,514,704,999,360,589,763,976,658,581,732,645,714,992,021,774,126,763,
269,446,812,222,948,048,657,668,907,288,563,990,656,430,788,222,944,777,902,
254,638,478,412,651,875,799,903,414,750,753,859,477,076,058,526,001,923,425,
987,383,508,155,978,793,931,200,888,675,852,580,058,692,635,718,508,399,074,
806,130,515,140,093,398,645,417,464,149,503,957,702,777,604,541,025,749,021,
094,874,998,842,642,909,080,112,524,179,075,578,077,500,373,248,152,655,598,
374,858,320,465,769,892,538,343,425,277,705,874,675,846,386,943,548,309,736,
318,997,513,335,745,553,208,275,760,699,254,519,414,911,122,302,416,146,132,
086,228,484,741,184,412,021,984,020,718,610,296,190,512,277,183,005,860,391,
047,356,076,571,787,835,739,844,562,168,956,125,791,136,104,866,594,014,823,
510,673,984,507,383,662,074,941,612,848,401,677,568,333,823,145,613,180,881,
341,677,361,790,542,723,681,083,356,482,238,852,922,091,766,746,486,127,201,
108,293,418,068,817,433,247,006,506,725,291,861,527,793,048,346,028,583,853,
646,070,128,371,256,481,243,537,225,417,855,632,869,390,612,188,759,998,090,
263,046,268,426,816,746,203,029,286,449,501,991,250,051,630,082,232,282,284,
840,414,843,953,416,938,635,212,685,519,270,845,424,121,566,076,003,260,621,
980,941,986,387,041,580,905,402,077,439,741,268,011,240,553,117,644,875,954,
788,219,266,929,194,946,188,573,886,186,989,888,855,285,781,860,137,126,967,
569,553,515,319,903,425,394,807,350,381,156,920,199,687,277,692,802,397,044,
216,657,737,796,556,190,353,241,578,127,227,240,221,806,068,449,166,456,432,
370,649,333,521,407,195,059,605,658,585,783,178,830,245,305,956,448,168,248,
522,938,779,216,577,853,894,186,834,006,712,272,605,664,374,650,695,418,778,
528,056,719,438,849,049,857,778,552,486,437,940,086,597,850,249,027,923,053,
768,653,947,125,096,935,533,745,179,756,680,430,547,336,704,513,446,515,230,
333,362,845,121,172,457,684,722,486,143,459,928,935,326,261,790,437,263,043,
855,664,414,198,444,313,883,772,333,107,360,768,450,573,630,003,594,341,788,
981,428,507,265,817,580,084,103,986,089,452,947,191,903,884,377,938,205,761,
522,923,645,684,790,229,961,902,707,781,136,968,417,586,962,135,035,980,696,
350,277,950,477,148,027,742,052,911,960,979,434,514,349,305,588,222,829,446,
328,212,278,199,045,497,624,370,238,721,184,285,316,373,566,006,812,797,868,
217,324,635,751,516,472,552,909,750,560,032,863,536,872,601,312,948,130,522,
316,765,680,642,014,141,236,308,499,889,227,828,178,078,213,174,701,981,314,
282,861,389,248,682,370,915,756,038,726,655,390,844,460,402,150,609,746,256,
754,627,161,220,866,657,577,334,622,088,015,408,506,161,711,549,282,950,336,
280,564,973,669,750,627,325,174,746,497,371,597,267,784,950,162,736,076,153,
647,678,571,793,772,990,915,037,696,566,740,473,898,827,993,692,662,781,347,
647,781,922,730,936,935,074,180,963,536,205,790,814,385,150,663,061,782,670,
858,563,381,115,448,133,982,060,522,417,585,993,087,610,793,081,144,001,630,
166,931,603,393,976,604,152,097,117,148,556,819,315,401,385,298,648,541,202,
125,266,951,880,638,973,232,553,742,872,599,051,670,555,960,086,351,674,038,
222,618,650,782,028,266,082,888,543,490,541,924,053,988,646,228,075,133,209,
323,754,688,533,328,227,344,046,496,288,909,348,351,441,035,495,916,370,011,
821,782,032,487,771,633,417,374,976,910,606,340,184,379,418,171,306,854,325,
287,089,063,961,101,427,085,471,442,142,857,256,557,036,716,090,223,994,330,
981,870,292,974,633,983,313,718,507,522,753,935,596,681,945,144,429,246,752,
718,138,791,262,127,953,049,031,152,304,055,894,139,578,559,092,002,030,914,
327,689,475,630,304,464,900,892,965,793,954,248,344,548,409,050,349,423,973,
206,581,257,030,350,811,985,286,111,266,516,639,029,309,432,437,350,785,358,
730,157,959,302,756,542,519,085,588,734,884,280,621,631,008,721,431,692,519,
328,119,496,307,965,558,351,611,236,816,266,989,654,439,724,922,975,897,178,
046,797,464,362,209,944,717,196,779,781,740,554,791,829,834,701,712,627,848,
560,533,391,926,865,431,396,263,161,967,831,117,800,483,309,370,874,645,292,
307,282,678,092,947,901,037,373,490,597,812,183,087,659,597,244,760,544,597,
178,909,466,796,429,459,398,389,339,847,570,578,510,207,579,353,068,830,179,
041,942,349,480,714,454,943,306,162,142,130,882,610,838,240,431,340,395,127,
569,242,610,941,193,266,141,714,746,190,099,037,494,866,376,608,543,505,890,
081,351,373,724,844,953,288,889,487,476,804,313,212,616,311,354,375,512,569,
554,478,395,243,031,344,094,944,321,180,193,869,457,221,627,080,027,134,122,
307,117,468,692,458,799,114,546,971,079,143,956,513,004,619,380,815,947,263,
179,884,080,272,117,049,133,154,897,338,724,143,965,100,185,420,870,164,722,
301,108,525,172,863,120,022,159,600,922,541,511,361,013,174,583,437,735,807,
519,618,481,040,412,473,436,941,418,521,644,587,873,478,395,682,613,621,349,
129,026,619,078,907,951,671,676,116,877,784,917,704,180,951,763,425,094,793,
357,301,495,642,194,846,833,542,709,891,502,798,581,347,629,707,398,162,653,
189,453,193,606,155,297,366,406,960,324,901,194,002,773,170,451,981,147,658,
040,502,398,379,334,661,894,514,702,431,223,364,555,049,929,017,703,276,640,
488,579,716,777,227,664,569,741,930,947,284,423,646,184,299,190,637,712,747,
909,374,476,828,159,970,841,448,232,244,606,635,843,145,635,596,879,246,471,
387,790,610,724,766,905,480,693,710,087,939,677,369,857,420,291,917,009,300,
454,423,859,420,735,156,282,897,586,126,758,613,308,488,783,224,419,473,986,
786,124,124,437,468,224,852,263,959,343,300,799,613,649,404,126,849,053,154,
189,622,523,294,273,393,213,563,089,486,105,912,386,581,626,097,023,274,504,
438,001,818,778,389,761,160,749,268,284,286,565,451,370,063,802,443,726,039,
675,048,120,044,829,270,159,925,524,834,739,732,237,788,497,635,725,543,964,
061,560,600,211,009,802,406,398,367,446,540,467,472,944,268,261,001,297,489,
772,892,477,033,084,602,450,260,427,134,320,055,728,190,596,604,034,773,844,
892,587,277,605,055,225,452,663,548,168,249,475,022,430,727,384,694,442,289,
911,118,630,967,328,239,553,571,011,249,416,864,541,831,930,720,136,993,815,
086,930,984,751,676,703,867,926,529,815,381,378,959,902,515,326,787,220,714,
874,867,008,639,387,660,886,730,695,501,866,738,576,223,940,378,721,774,858,
707,335,442,178,873,333,440,674,589,287,810,825,548,597,971,429,378,926,331,
836,103,002,096,229,037,295,350,652,266,988,512,999,167,239,624,257,699,258,
304,732,628,456,754,213,003,353,397,443,484,113,744,110,507,744,587,104,971,
938,826,753,002,677,009,778,922,786,443,753,751,405,545,549,226,173,349,291,
293,780,820,032,617,983,756,937,975,112,349,803,086,204,526,960,992,261,578,
405,236,744,897,485,814,287,921,714,146,832,573,812,619,853,451,079,663,552,
368,074,507,042,340,211,853,790,487,494,413,994,572,915,260,761,650,687,733,
084,342,648,665,991,075,017,813,673,281,369,143,667,060,744,803,447,884,083,
603,772,150,332,628,541,891,441,090,559,393,149,898,760,918,252,557,310,931,
078,738,571,027,548,028,211,726,174,220,007,863,769,200,540,617,820,921,747,
757,374,759,856,791,252,240,426,280,454,224,211,559,557,522,582,852,895,440,
602,539,073,774,078,952,482,431,356,116,376,840,304,521,300,961,278,879,476,
744,592,812,171,581,039,946,398,305,974,575,858,439,382,757,625,320,317,147,
122,993,334,054,776,218,053,130,402,010,066,016,624,778,958,757,320,096,906,
232,104,560,122,319,048,113,227,857,305,038,672,510,695,387,914,705,091,682,
542,896,173,291,253,450,513,166,567,455,607,468,713,764,098,576,583,636,658,
543,970,928,362,011,761,441,563,852,076,962,630,549,648,614,300,433,783,167,
512,689,877,035,911,380,537,798,873,646,860,987,290,300,503,596,025,190,448,
279,155,116,489,783,485,778,839,726,712,934,980,966,759,662,231,935,345,032,
251,279,561,822,555,240,091,500,919,337,924,457,082,205,936,719,837,077,489,
427,216,776,545,569,300,194,703,635,311,606,510,159,576,388,891,706,594,434,
605,312,473,434,304,219,465,834,679,516,803,177,651,622,102,962,375,826,921,
293,715,423,095,409,765,052,231,676,866,768,411,775,188,371,231,343,198,859,
137,885,775,382,476,430,141,088,793,701,025,346,944,006,391,866,943,598,622,
598,654,420,850,241,104,390,135,840,294,197,818,116,280,281,480,746,270,597,
682,204,230,286,811,016,194,763,893,348,409,877,714,796,672,436,855,101,814,
454,951,838,390,806,341,789,117,041,110,016,395,467,909,137,305,097,632,004,
273,649,203,693,713,125,482,548,602,440,765,178,631,145,511,026,681,927,509,
115,329,984,027,714,961,755,071,210,598,752,588,623,144,460,434,035,497,095,
306,652,001,052,710,006,851,082,998,899,989,066,020,602,165,190,499,242,777,
819,853,161,383,146,468,278,228,159,851,805,193,878,698,353,726,898,083,066,
505,568,800,950,271,157,400,130,104,007,517,874,874,823,816,329,849,778,196,
237,361,274,216,199,318,911,997,532,500,639,952,573,854,935,062,392,653,783,
976,245,883,489,106,798,838,655,641,139,180,642,945,580,868,921,423,127,598,
590,639,549,386,555,209,480,793,129,978,091,724,011,678,956,021,293,201,907,
468,575,959,199,003,037,064,964,199,127,511,169,048,633,445,556,612,876,626,
041,272,945,424,696,563,202,584,142,330,397,404,302,014,766,357,692,356,898,
846,059,615,363,333,030,880,525,461,633,996,482,225,354,462,671,655,395,816,
098,067,984,758,211,275,927,590,115,139,057,894,156,165,528,674,383,821,542,
109,987,734,876,973,429,086,460,770,752,816,064,413,456,144,854,103,077,066,
130,670,874,367,658,628,632,191,816,143,072,201,236,781,875,501,985,045,278,
019,496,542,615,223,494,389,012,351,021,781,985,044,016,910,612,339,872,893,
605,612,728,802,421,902,593,860,005,425,618,268,341,257,215,875,712,602,032,
994,863,254,800,618,214,979,802,705,925,945,334,285,221,377,917,003,006,540,
779,027,484,962,351,052,502,978,114,346,507,249,866,590,889,547,646,063,844,
740,666,048,292,873,298,925,047,726,963,267,721,008,164,499,214,189,704,965,
486,429,785,202,612,646,759,641,779,645,967,734,097,712,495,322,372,126,618,
615,777,350,218,688,473,023,306,547,734,955,007,554,288,695,520,223,760,023,
784,029,119,245,582,426,014,142,491,936,518,887,378,666,405,023,538,548,178,
139,705,591,163,409,199,481,569,209,389,889,579,540,488,140,541,586,760,840,
667,935,747,165,213,134,041,417,295,333,308,620,399,529,994,965,843,862,518,
917,402,116,278,784,593,268,457,209,970,720,629,422,256,867,602,848,414,182,
687,403,581,166,051,644,610,217,941,529,842,542,949,473,201,153,903,696,652,
137,671,825,659,648,375,479,818,297,226,050,399,421,902,746,870,063,971,222,
987,162,214,025,505,081,263,301,793,514,766,997,828,019,844,411,300,265,778,
982,937,863,469,642,213,882,701,203,512,926,142,488,708,801,223,901,328,479,
055,242,682,384,857,705,451,344,653,161,979,374,776,666,050,594,822,956,718,
749,153,245,664,283,794,815,597,646,751,663,586,472,882,762,357,890,347,150,
668,829,569,711,702,223,738,249,773,691,658,447,494,470,849,152,116,271,481,
601,706,499,673,618,171,924,925,915,031,420,092,563,061,065,467,134,118,759,
929,908,679,487,533,025,652,004,471,614,778,604,956,293,225,839,121,164,935,
610,787,741,200,426,737,388,228,409,151,555,590,118,663,244,334,456,488,829,
130,810,894,438,901,082,371,897,689,186,242,531,520,186,125,043,682,742,980,
035,766,428,739,952,790,496,802,736,284,125,802,920,462,734,764,682,293,914,
776,574,329,931,611,429,951,160,944,345,276,971,918,870,810,370,344,857,141,
903,252,288,803,999,728,931,816,193,374,780,529,519,717,959,590,231,599,471,
602,084,346,482,170,851,568,712,360,511,128,976,889,429,178,824,073,636,070,
118,702,131,693,505,052,422,056,953,552,458,644,770,179,487,728,039,954,177,
891,722,434,283,953,002,195,975,584,160,926,620,594,439,543,740,078,337,137,
624,843,769,570,346,057,811,357,604,040,276,691,384,674,491,376,112,524,460,
822,004,511,791,669,717,551,525,620,435,030,955,846,008,870,734,467,722,641,
963,631,984,396,091,450,660,720,063,577,875,518,800,290,221,031,946,022,845,
879,411,281,293,091,887,492,582,586,063,711,458,708,360,313,196,374,083,451,
287,056,807,724,491,105,029,870,067,811,806,619,876,691,583,439,746,855,073,
554,964,132,990,870,576,778,088,591,455,610,160,032,526,331,141,488,220,864,
838,816,401,429,668,141,204,612,339,972,240,358,477,975,079,529,098,146,618,
125,283,336,325,561,830,891,965,121,997,626,942,737,381,962,050,293,731,424,
626,257,902,005,327,974,072,467,120,591,055,468,221,837,455,806,202,602,753,
786,011,697,553,640,383,211,353,342,345,864,496,128,805,995,946,572,161,175,
574,836,477,576,866,595,651,770,805,428,663,245,785,994,824,384,963,338,841,
257,291,323,997,928,845,593,448,963,498,782,391,708,143,070,213,000,286,461,
993,381,171,184,801,664,489,610,758,459,529,411,321,878,814,493,772,589,874,
906,008,379,412,834,279,207,875,973,936,158,280,723,566,503,251,102,756,683,
831,122,068,082,094,656,877,608,235,677,198,161,318,988,396,940,891,138,595,
760,746,075,481,890,305,579,015,657,399,696,327,553,404,538,029,845,980,770,
830,034,232,414,608,413,099,770,621,865,965,700,633,444,274,314,671,926,644,
800,908,949,840,036,146,440,909,786,426,245,250,665,370,977,422,605,782,207,
754,244,688,189,868,673,474,040,567,196,966,225,496,336,307,592,941,951,160,
532,090,207,728,686,400,608,025,450,680,601,159,361,369,017,490,328,564,477,
967,370,703,520,826,877,404,588,979,224,806,553,801,132,928,781,796,412,776,
980,460,845,910,917,964,165,922,170,280,769,183,782,641,748,198,782,082,153,
704,627,647,136,212,765,395,949,836,897,229,540,246,895,995,018,902,935,078,
142,270,767,236,783,612,661,938,575,592,810,994,054,399,276,376,600,021,607,
804,232,410,976,014,716,220,710,136,130,365,472,896,377,241,894,902,023,876,
461,368,821,388,190,152,165,230,617,732,919,741,485,129,450,856,058,632,378,
522,223,669,931,608,898,950,809,853,205,137,518,884,093,065,714,176,780,632,
389,424,135,863,457,858,557,985,871,528,401,768,916,133,806,160,732,880,426,
388,142,752,085,253,424,926,337,227,028,370,236,327,644,018,384,750,148,550,
087,933,626,375,241,570,461,621,566,293,268,135,184,415,814,250,169,930,725,
011,712,230,821,421,896,976,824,746,788,364,843,116,056,080,546,924,233,083,
260,435,664,714,271,819,702,071,001,072,020,772,449,023,971,069,885,232,881,
731,205,595,047,996,476,349,370,834,237,530,943,998,467,351,425,434,034,459,
812,254,927,280,376,859,576,344,735,004,830,916,483,722,821,755,023,214,746,
526,278,240,423,800,880,896,127,051,311,686,379,937,155,401,896,613,150,033,
966,877,599,001,516,588,424,054,883,987,971,198,399,537,144,439,992,981,182,
033,572,688,776,824,433,044,355,420,694,165,501,298,689,576,919,474,484,458,
259,330,248,058,605,094,770,503,763,123,221,443,972,129,428,701,317,873,318,
857,278,392,591,817,881,661,324,443,588,769,938,035,696,995,925,045,810,455,
887,468,494,764,767,743,660,989,042,357,075,689,087,496,756,186,220,533,185,
171,941,758,655,981,941,476,261,043,101,339,060,586,499,659,492,297,086,484,
903,055,589,352,063,221,983,463,708,382,751,664,206,135,875,622,151,490,433,
968,666,134,064,508,582,687,701,658,440,551,695,081,126,456,848,693,585,761,
543,688,234,140,653,965,828,561,848,154,023,935,833,043,202,074,348,068,205,
695,032,853,780,425,255,393,459,381,986,709,683,171,166,835,957,982,671,325,
831,732,261,764,522,553,923,078,286,547,745,093,645,945,510,405,202,560,515,
935,147,056,833,602,414,379,169,796,727,051,813,206,830,922,420,852,505,664,
679,419,602,162,639,351,482,747,435,646,675,647,279,271,689,188,399,714,911,
640,004,947,320,032,303,689,423,925,658,631,287,920,354,948,605,103,372,841,
775,089,362,904,307,525,796,762,475,651,087,987,374,534,288,030,572,958,469,
002,324,086,149,832,048,258,286,101,593,904,918,632,465,500,359,386,412,677,
945,967,564,395,247,605,889,708,898,435,547,921,854,776,117,347,959,691,703,
691,121,799,422,803,894,780,742,480,521,120,451,910,029,685,772,023,639,724,
779,887,913,238,744,356,455,446,922,006,533,598,772,099,273,462,161,527,355,
001,738,309,926,487,992,169,877,703,671,751,078,612,068,149,616,672,887,842,
807,913,546,229,868,447,121,337,850,257,980,976,752,183,381,555,827,631,071,
965,654,777,629,022,190,638,877,527,312,843,843,136,044,420,542,552,468,822,
127,107,098,631,127,028,612,987,261,887,940,427,944,318,365,524,814,555,844,
240,705,211,109,826,054,044,789,001,873,278,411,731,297,990,830,128,235,686,
490,257,849,095,985,001,479,855,873,809,998,154,133,123,813,206,244,739,326,
618,481,684,364,795,871,993,863,496,035,002,558,469,832,219,690,183,847,044,
974,767,301,102,812,861,648,961,634,311,190,401,154,275,408,826,057,837,844,
127,104,169,045,853,400,786,630,411,481,590,539,922,811,889,489,739,392,061,
129,187,685,397,134,913,303,065,420,371,253,599,047,426,978,151,084,274,119,
495,728,152,014,254,216,183,227,318,763,481,055,045,805,857,318,102,464,311,
509,549,687,506,749,915,748,763,142,299,713,498,299,472,835,737,109,914,852,
043,370,632,439,369,396,410,873,315,966,108,150,035,168,311,501,724,451,827,
743,050,809,607,739,420,467,498,874,688,804,516,354,112,533,018,222,088,014,
849,172,891,886,534,020,236,944,809,368,573,909,367,054,849,574,886,138,100,
753,233,082,977,725,492,351,670,167,113,034,757,301,239,251,223,156,674,716,
020,196,951,197,567,101,356,615,589,612,630,278,558,344,855,988,373,595,959,
412,824,578,206,932,610,768,438,466,796,768,765,870,102,416,438,489,812,641,
055,010,271,393,756,551,998,840,501,536,569,017,495,206,476,250,390,035,334,
762,929,064,654,480,068,774,945,971,706,109,510,405,239,888,068,004,858,986,
845,490,366,618,199,872,454,321,552,040,212,430,946,344,523,416,707,007,894,
391,908,712,450,676,485,210,010,935,360,112,521,413,068,610,911,258,294,945,
170,946,986,853,676,796,033,320,631,362,855,106,780,352,254,131,139,346,233,
381,576,087,860,577,061,417,686,775,049,266,561,342,982,815,029,587,812,677,
218,343,818,794,745,110,058,994,773,298,278,358,009,288,632,459,915,194,172,
535,544,684,600,618,537,816,981,223,681,965,952,871,153,164,138,157,741,612,
325,555,309,531,043,999,116,407,659,341,205,222,594,411,428,333,567,050,069,
846,933,099,225,996,852,461,705,360,341,463,331,063,653,509,367,565,271,165,
349,039,330,416,127,399,822,489,827,353,242,255,211,879,189,952,017,862,305,
110,200,531,436,970,718,443,866,256,695,916,820,656,096,396,212,834,038,427,
141,879,342,225,068,526,774,815,097,284,740,035,094,542,172,810,961,648,891,
044,720,843,166,637,564,443,377,329,660,892,288,907,626,174,898,793,478,341,
585,179,646,606,025,395,902,917,450,884,094,500,163,610,113,619,311,495,534,
402,767,104,658,927,383,797,456,885,660,646,272,623,220,280,051,854,942,067,
991,407,914,823,102,331,250,618,346,778,366,989,704,167,012,911,425,819,547,
957,758,547,819,309,209,705,331,436,420,922,724,509,684,632,191,401,300,629,
636,159,917,681,504,690,594,636,758,406,056,841,465,118,131,723,643,079,196,
984,922,423,484,715,169,535,833,696,578,213,611,286,244,198,015,056,684,901,
291,048,884,326,159,386,093,308,393,946,183,814,750,809,876,368,021,927,624,
025,875,978,327,779,367,051,826,422,149,098,274,468,408,037,064,807,767,272,
332,808,918,941,884,993,927,511,690,047,107,471,232,730,504,868,106,550,141,
936,103,425,194,749,006,097,355,583,473,593,257,039,850,993,403,516,542,107,
764,080,002,454,254,828,817,528,504,818,773,273,710,899,908,206,405,880,369,
438,700,612,594,480,632,004,544,282,182,910,696,400,436,501,268,440,394,757,
083,204,305,575,345,996,180,073,655,690,883,534,526,925,620,945,659,635,309,
236,907,347,657,010,775,925,569,866,452,643,260,683,968,266,824,930,777,288,
455,090,587,771,114,571,680,226,806,922,978,442,501,706,755,206,570,849,107,
340,696,169,329,001,452,115,140,345,776,952,232,447,580,976,170,711,592,894,
929,268,311,633,508,406,750,546,312,885,436,459,454,577,278,483,491,011,172,
106,893,689,503,571,691,628,780,250,792,304,424,440,907,966,624,735,325,339,
512,623,823,477,236,629,163,402,594,221,486,262,126,672,788,883,716,813,778,
950,101,593,172,869,308,746,307,253,387,170,167,062,980,013,192,816,306,666,
906,260,598,857,722,134,823,344,019,639,720,046,009,559,899,605,771,642,241,
610,238,693,066,323,071,115,467,270,486,500,780,247,604,395,793,270,774,137,
055,397,419,998,555,778,389,541,592,606,650,386,899,207,118,991,281,276,891,
990,627,779,261,491,075,658,605,308,210,748,345,792,033,574,608,665,391,792,
749,929,275,100,020,265,542,738,210,801,526,272,277,768,316,913,040,543,556,
782,975,999,859,966,102,955,685,726,282,717,236,522,893,126,373,651,700,716,
654,423,810,132,050,370,646,678,181,084,197,525,380,889,625,093,118,805,449,
260,955,225,489,562,950,875,250,845,590,265,533,881,021,181,051,705,125,001,
413,326,801,550,655,446,377,722,252,809,669,048,770,220,441,334,398,190,751,
940,736,968,197,718,192,383,301,165,446,462,328,775,901,595,433,035,315,111,
238,313,974,375,243,672,916,934,520,990,401,497,015,687,781,522,903,117,902,
466,985,432,246,897,969,957,704,678,995,429,501,270,093,865,688,898,680,955,
045,400,030,430,653,924,018,756,431,044,151,947,846,390,824,072,237,723,269,
464,242,847,333,602,343,750,902,057,995,557,507,692,825,226,399,183,031,326,
467,773,502,433,634,859,471,290,963,394,119,229,181,183,326,049,550,832,089,
746,261,037,384,008,978,254,768,491,806,850,260,913,072,521,068,585,111,425,
187,622,701,321,427,289,365,326,498,230,025,298,269,548,360,815,537,658,093,
779,334,220,750,044,431,736,536,784,279,931,391,698,867,617,577,453,689,518,
467,425,172,655,695,184,096,999,360,821,209,820,628,788,982,823,642,810,984,
461,352,182,440,038,694,717,318,400,378,539,533,329,296,851,430,243,710,238,
644,655,568,067,841,876,537,261,891,968,122,527,003,326,153,654,265,199,254,
871,508,629,364,269,832,355,169,387,201,353,225,537,518,635,054,990,563,827,
635,692,687,611,039,692,919,240,447,340,793,315,711,717,471,702,150,415,752,
044,507,144,040,036,424,649,288,724,170,110,897,954,424,605,616,721,193,324,
601,239,457,854,446,217,346,893,754,116,549,204,713,414,457,550,996,443,162,
594,472,403,293,150,533,389,524,504,469,716,396,314,090,408,612,654,598,784,
049,917,649,889,953,210,816,925,216,238,466,953,402,015,754,264,381,043,626,
743,789,166,009,161,285,205,721,695,868,530,818,762,168,027,770,117,417,978,
920,536,866,401,121,573,885,550,407,683,384,810,546,182,303,660,798,163,554,
130,992,711,054,616,207,336,578,310,309,695,136,517,411,456,678,654,876,121,
514,969,141,477,824,714,380,050,023,280,547,835,539,634,606,795,861,335,115,
851,346,635,778,283,383,243,999,287,148,892,119,872,250,040,792,232,177,917,
633,294,872,945,487,922,856,319,711,905,383,081,206,250,473,485,320,960,179,
752,602,417,419,539,585,274,477,475,147,465,504,232,580,189,389,151,002,245,
088,697,850,670,099,096,474,641,107,264,504,446,812,269,113,133,500,202,360,
929,346,576,121,964,141,881,411,548,456,278,011,071,153,816,830,736,018,215,
587,936,217,808,308,602,726,681,568,845,093,915,261,839,986,233,306,783,371,
892,327,970,330,838,451,803,883,566,244,145,789,532,897,728,988,504,705,032,
884,441,140,199,637,883,966,103,376,617,243,219,496,553,092,513,879,070,988,
435,970,504,789,607,769,849,942,208,414,986,598,631,797,532,066,139,339,334,
401,410,301,057,286,278,673,656,561,555,341,364,817,178,490,936,273,287,583,
169,258,818,536,379,655,525,123,093,350,234,901,010,904,618,422,895,363,976,
535,103,274,820,416,560,340,432,551,201,093,120,191,897,423,431,371,114,010,
117,636,812,858,291,354,116,768,273,194,014,455,367,636,166,792,591,688,509,
551,770,520,531,118,175,464,741,340,248,922,039,578,061,536,222,423,700,949,
640,234,270,089,607,642,127,805,134,271,869,903,024,006,018,414,456,726,376,
928,580,674,071,340,533,561,288,738,584,730,581,417,548,747,597,560,346,957,
432,134,547,687,669,701,965,704,361,443,970,498,362,695,318,121,297,796,560,
325,824,251,241,703,988,878,690,594,051,292,594,484,435,128,570,909,581,547,
181,905,549,080,542,488,687,411,260,039,630,036,322,290,326,479,985,453,461,
078,350,984,960,512,250,410,153,755,955,809,868,288,827,639,005,247,375,997,
967,561,517,310,473,532,520,859,244,357,855,176,127,287,338,100,270,394,218,
659,365,979,150,264,751,003,244,704,745,441,261,480,938,470,292,660,074,109,
705,983,461,126,230,086,457,806,274,500,957,519,347,671,848,012,570,742,119,
201,091,979,031,307,691,416,585,861,728,290,763,339,440,501,540,130,935,197,
642,138,894,771,312,515,054,698,603,378,335,883,703,499,000,856,986,299,259,
402,789,226,357,105,889,973,962,382,319,984,115,422,434,830,939,818,860,328,
774,573,994,670,091,298,294,918,696,828,680,725,422,140,564,612,621,337,048,
370,678,873,925,366,294,282,105,617,497,855,371,716,836,238,855,018,834,980,
833,661,483,509,660,665,847,803,261,284,992,078,769,154,815,784,763,117,054,
143,468,807,947,490,052,436,043,933,703,466,244,036,009,970,998,880,677,641,
577,309,811,657,309,251,160,975,338,112,034,384,253,803,428,765,484,487,265,
234,132,677,519,965,482,884,848,186,433,009,682,835,038,373,457,499,300,849,
747,090,559,031,646,245,938,136,507,976,860,342,215,117,990,643,389,814,148,
547,096,304,474,065,548,138,926,168,286,239,440,598,403,324,027,996,416,206,
151,281,369,392,923,328,394,062,131,000,214,316,273,488,192,018,901,092,625,
105,550,587,805,749,823,078,385,709,809,638,397,402,630,930,838,659,715,441,
976,592,332,651,987,873,112,599,043,572,092,966,608,700,305,194,179,205,775,
809,130,723,716,177,621,978,917,029,767,410,551,304,799,690,923,838,506,948,
165,491,411,612,268,139,052,178,622,611,834,642,094,838,425,688,698,503,570,
794,254,147,300,410,174,123,754,457,620,700,853,564,233,492,649,844,301,657,
786,863,257,522,665,261,380,781,501,875,581,184,901,788,226,421,441,484,854,
266,046,389,143,012,242,419,950,968,282,992,599,321,276,735,051,197,766,604,
424,344,606,978,895,079,409,511,257,022,519,074,421,106,715,482,433,018,118,
416,809,998,341,387,909,339,261,951,619,038,754,218,891,797,865,470,901,961,
296,360,552,464,195,413,214,270,187,656,759,655,758,760,002,015,199,319,120,
802,004,512,690,793,135,857,475,342,873,237,771,943,162,778,906,498,701,470,
617,445,722,166,191,340,259,056,489,838,740,567,174,419,713,294,154,760,469,
699,530,506,508,705,381,584,945,729,611,459,856,241,719,682,558,662,290,970,
746,195,006,231,460,502,199,866,803,779,227,841,112,598,132,419,424,158,778,
257,741,956,832,513,706,171,188,144,985,589,868,466,235,312,587,269,666,910,
963,388,149,220,763,757,034,921,267,473,005,255,169,936,632,832,656,074,716,
191,733,015,777,177,524,659,080,435,748,409,837,405,705,208,909,597,014,288,
291,538,655,436,833,549,713,964,010,172,047,351,235,805,710,458,134,450,602,
331,390,698,967,155,101,609,802,519,196,727,468,436,847,977,732,937,684,593,
809,597,584,660,582,642,666,035,284,283,094,316,001,699,970,469,903,569,223,
055,177,448,199,969,730,579,691,059,242,775,934,243,870,452,465,965,266,557,
778,153,623,912,271,392,351,279,909,837,975,684,561,802,258,656,487,548,705,
054,034,643,718,853,245,421,310,588,934,713,745,110,663,824,160,283,046,413,
991,901,549,699,621,770,874,715,056,684,457,006,820,710,573,180,726,702,567,
332,441,530,958,504,013,571,163,201,034,722,379,475,640,547,412,480,684,278,
979,154,984,577,390,897,598,718,573,539,006,875,471,293,182,286,049,019,973,
134,619,701,360,779,012,229,631,523,845,374,830,638,386,385,933,474,657,549,
313,696,976,115,524,641,175,392,690,728,883,099,659,815,186,394,234,776,569,
184,664,033,174,637,674,360,881,469,678,054,710,823,817,296,261,512,184,795,
333,669,847,241,434,228,210,824,646,150,559,511,723,436,384,802,141,627,024,
856,101,918,328,821,398,642,079,707,098,692,130,285,436,122,809,919,965,527,
122,391,675,365,868,340,760,534,493,550,517,357,724,629,950,243,200,241,998,
137,455,374,487,867,326,968,852,319,795,068,965,450,125,568,077,210,172,024,
986,494,628,633,301,410,050,428,879,954,292,475,406,520,197,701,288,739,661,
915,185,443,976,730,155,667,278,585,829,290,932,521,869,407,732,604,821,832,
090,823,735,515,046,611,948,047,837,724,246,372,835,327,803,543,108,839,426,
513,349,405,847,980,712,408,662,697,248,781,808,602,023,849,233,480,756,090,
661,853,277,086,697,464,567,310,896,334,205,292,929,402,492,328,991,554,302,
729,189,790,920,699,061,892,093,679,872,776,529,696,159,169,466,065,904,997,
551,968,167,664,391,124,441,843,737,002,638,116,780,039,378,193,845,449,134,
549,552,941,987,166,391,735,106,109,856,958,780,607,479,251,743,609,538,187,
223,871,602,708,381,707,384,685,803,978,084,823,083,416,035,691,623,374,475,
587,241,718,202,669,230,869,585,467,667,818,230,225,439,360,082,427,719,713,
120,776,577,257,740,035,099,348,119,348,604,038,966,770,117,264,857,669,951,
702,801,056,052,464,192,416,195,084,745,814,203,701,840,243,012,999,177,472,
011,522,048,333,132,994,496,861,364,436,872,077,681,374,230,015,275,385,360,
824,384,239,464,258,058,415,847,282,149,315,598,781,517,669,693,802,827,838,
267,322,917,902,995,567,947,997,634,768,253,288,176,422,571,627,964,656,741,
027,488,648,536,872,978,712,711,826,685,130,388,889,840,699,943,109,249,941,
089,895,879,932,333,170,225,087,249,647,351,632,105,302,343,293,570,800,690,
958,881,291,372,414,252,630,822,404,629,465,467,188,427,012,005,623,545,927,
008,756,188,541,866,297,536,389,497,513,402,831,672,826,580,013,220,317,700,
382,008,697,339,394,017,232,402,502,195,707,485,052,324,058,373,640,198,921,
036,271,707,874,839,445,536,031,014,597,504,504,261,724,997,825,959,154,453,
830,785,368,278,732,277,544,979,903,102,479,259,798,359,882,139,693,297,684,
958,565,055,303,243,728,134,463,585,801,852,958,174,236,680,085,154,811,070,
743,574,676,482,232,876,417,029,183,768,164,943,300,846,447,209,858,131,056,
187,855,416,443,065,493,050,737,200,518,497,936,788,546,092,734,035,182,273,
028,903,298,622,911,125,741,548,018,722,319,628,908,990,819,969,025,393,284,
094,902,242,658,054,834,358,573,779,985,761,408,190,588,820,092,645,754,133,
444,180,183,121,513,917,696,335,987,385,994,665,637,279,831,802,520,943,452,
884,671,235,139,720,070,172,921,886,668,527,015,382,204,264,563,984,885,218,
552,489,275,394,518,919,603,532,676,399,493,256,541,879,948,695,596,581,438,
346,290,567,225,254,103,471,454,622,222,593,862,538,577,030,398,802,623,906,
001,585,641,721,681,404,396,434,403,486,806,968,883,054,925,688,174,333,922,
934,419,133,892,572,932,927,356,592,309,619,693,527,947,341,810,795,268,940,
721,881,946,326,321,300,891,269,743,603,612,997,083,665,286,448,147,924,654,
964,643,398,568,136,644,481,412,226,373,969,665,407,251,718,656,828,112,733,
013,787,739,480,397,839,311,445,881,537,837,652,501,633,067,225,860,182,743,
446,353,949,472,739,100,598,070,692,776,965,091,561,520,034,236,479,946,519,
642,616,739,124,343,006,916,642,324,588,765,479,382,071,957,485,988,035,962,
263,234,515,390,018,313,638,153,040,344,273,266,412,157,124,513,219,073,658,
321,516,157,178,557,004,292,855,602,530,214,824,121,029,221,830,616,202,534,
317,951,037,618,918,532,244,010,346,358,794,198,485,128,580,499,283,168,726,
289,419,783,886,744,580,940,917,493,045,386,246,878,622,358,359,636,200,935,
121,661,209,046,403,445,725,181,646,545,345,423,787,320,069,193,880,206,862,
009,817,150,514,301,150,231,775,978,803,806,720,073,717,684,434,263,940,743,
013,966,368,440,904,998,735,440,212,901,037,491,239,550,425,476,829,300,715,
954,913,589,736,659,600,354,105,442,711,168,851,671,912,823,226,282,226,941,
678,468,502,109,365,811,729,302,602,744,787,570,930,519,626,986,260,176,559,
967,264,461,715,580,700,484,850,904,221,620,650,374,768,392,455,272,793,965,
326,747,421,856,857,736,645,449,931,951,107,370,877,686,246,317,053,783,222,
777,081,196,564,152,077,933,680,922,052,541,458,178,669,151,176,368,258,840,
934,565,284,533,369,813,497,295,063,702,128,415,420,594,502,547,183,826,617,
954,989,741,648,986,161,902,144,186,742,544,128,389,593,146,580,081,955,433,
740,144,811,004,219,659,574,088,292,716,158,332,434,366,450,141,198,993,718,
276,546,582,061,885,286,584,803,687,056,485,653,133,222,695,627,027,444,439,
648,759,159,957,219,159,046,778,911,656,068,316,956,302,154,654,866,087,901,
528,947,089,140,212,039,123,777,839,281,914,412,288,704,204,150,348,910,650,
604,163,123,277,091,231,400,259,186,651,886,645,427,851,625,536,202,062,335,
621,297,022,957,222,619,736,427,398,451,200,083,535,515,981,165,600,147,671,
801,044,636,579,598,469,578,368,991,286,977,735,647,619,063,121,177,152,397,
538,459,401,088,498,390,316,545,950,943,252,077,296,255,883,803,926,259,924,
941,681,321,362,066,584,913,627,338,554,006,070,600,403,513,576,994,663,482,
813,377,656,262,247,548,757,105,514,661,478,434,680,437,880,800,704,280,948,
843,889,793,781,740,861,111,079,701,470,912,166,790,884,867,687,866,908,874,
267,832,251,759,835,353,629,850,161,078,266,291,291,974,668,439,587,341,218,
687,885,486,149,957,088,326,757,661,174,484,371,646,500,618,645,495,046,154,
771,730,656,044,463,352,809,134,058,874,906,786,969,223,953,937,746,902,703,
068,265,433,876,071,637,548,249,054,039,151,725,034,365,355,738,419,221,881,
844,950,493,260,750,344,959,460,369,333,219,821,188,749,489,930,545,852,311,
513,621,319,887,150,447,644,758,290,906,836,053,537,749,278,754,985,012,564,
772,557,509,635,699,440,651,043,918,425,289,356,985,329,482,315,568,338,086,
439,947,737,037,302,627,543,134,541,678,250,506,501,265,114,846,032,304,101,
700,818,694,185,949,837,112,309,741,902,049,864,590,102,609,803,054,688,031,
441,978,783,326,995,549,862,474,577,785,512,587,607,406,847,872,549,663,931,
190,339,511,680,254,760,942,547,416,473,272,586,631,800,486,114,529,213,105,
511,597,486,206,045,174,098,708,744,168,532,462,298,540,190,733,724,404,662,
266,363,680,747,962,308,998,344,597,395,594,881,748,624,182,860,313,513,242,
865,863,147,235,358,197,336,327,136,774,975,098,878,243,998,795,135,550,325,
056,639,428,809,528,168,586,649,580,210,338,909,711,019,676,683,497,274,584,
309,316,273,542,506,527,554,674,087,103,294,808,832,348,506,950,792,924,140,
956,315,897,368,060,984,603,851,980,504,480,705,596,909,080,609,055,964,431,
286,975,734,743,075,070,757,967,423,135,445,208,419,055,350,735,541,356,753,
576,461,769,848,898,396,442,337,187,310,730,663,478,335,449,365,454,273,994,
006,675,614,695,406,591,080,217,192,637,171,949,555,463,099,168,202,376,258,
346,578,075,819,454,573,924,052,858,032,805,244,912,145,423,238,210,812,925,
056,976,915,510,050,129,909,931,913,173,303,880,835,302,859,643,490,738,079,
285,035,260,320,030,659,012,321,674,412,236,427,926,886,683,642,514,133,182,
383,431,672,957,619,111,481,827,891,501,078,702,270,528,024,619,514,015,509,
607,828,905,355,483,245,936,357,337,097,669,331,557,641,273,269,455,678,900,
412,995,323,783,797,711,884,407,081,686,419,849,344,470,613,671,786,614,935,
752,468,521,401,305,798,540,763,920,643,167,816,864,731,374,485,276,053,183,
174,768,818,276,778,935,019,266,413,025,004,068,336,133,436,542,340,078,499,
678,017,921,730,779,241,414,712,522,679,891,858,650,136,912,425,372,449,141,
137,965,552,899,352,583,729,289,357,961,303,527,632,647,245,783,204,982,643,
305,914,348,948,945,225,613,096,575,344,827,961,296,684,853,988,369,640,636,
264,675,593,144,285,736,822,547,861,487,636,282,835,162,452,820,673,293,856,
768,316,528,167,552,306,812,010,661,077,612,131,956,428,411,486,050,544,335,
918,835,054,898,396,656,261,395,231,004,457,832,733,036,613,038,307,758,709,
567,824,997,752,669,484,160,877,183,163,103,228,584,879,342,926,071,282,710,
418,446,941,282,276,327,904,946,353,649,406,850,956,595,458,784,049,730,730,
081,241,796,566,227,677,242,765,760,959,381,248,436,890,038,415,314,962,418,
962,898,464,250,446,469,900,538,925,962,161,717,761,820,085,710,634,096,348,
732,345,827,378,073,979,882,126,577,461,743,628,542,927,727,282,646,485,151,
673,075,814,533,905,249,196,959,937,726,226,938,018,446,439,168,861,685,764,
121,840,511,510,632,465,590,005,853,061,234,837,950,760,463,012,239,131,308,
178,765,039,793,510,411,634,534,891,223,087,717,646,288,349,887,994,892,236,
912,847,533,096,089,769,878,871,290,860,322,205,827,183,761,257,203,039,397,
405,854,837,701,818,615,957,076,035,947,955,692,704,032,500,209,726,858,927,
542,062,233,208,430,725,581,478,324,904,505,747,401,699,207,811,110,472,862,
852,562,185,527,002,235,355,287,515,100,561,062,587,879,087,830,233,705,363,
397,712,951,883,713,889,654,963,694,769,496,027,281,963,048,268,306,945,114,
162,885,180,499,580,371,907,241,771,431,008,505,079,268,447,880,515,135,448,
189,304,954,195,933,053,600,642,843,116,327,618,114,464,583,820,232,629,212,
672,266,116,737,464,766,157,379,857,397,880,618,390,277,361,416,168,943,415,
058,102,326,246,920,278,301,659,685,393,291,091,378,643,085,772,102,376,607,
511,056,213,893,953,547,415,541,776,006,405,361,469,095,447,023,205,597,736,
008,792,215,590,023,024,136,435,777,037,391,355,501,286,501,882,973,321,455,
955,230,548,998,952,454,692,825,310,939,937,333,292,070,076,754,794,648,900,
644,014,867,664,023,972,504,979,648,753,650,262,036,997,974,178,389,741,746,
322,361,193,764,073,353,675,908,844,899,163,035,627,139,521,558,216,140,220,
254,288,208,876,619,360,943,261,389,991,633,073,438,973,682,040,422,524,246,
358,372,570,037,681,885,734,044,443,829,989,089,781,455,210,710,170,133,433,
741,682,306,477,888,984,851,419,694,707,669,525,929,979,700,268,230,066,043,
771,323,444,179,680,869,947,285,778,298,010,365,911,128,465,707,017,818,315,
140,955,203,923,948,811,429,117,212,495,418,715,164,238,501,354,472,271,342,
482,475,915,907,825,302,758,965,315,823,983,091,054,805,460,601,044,439,317,
877,358,396,408,521,792,535,560,043,204,661,420,422,777,682,499,331,966,403,
331,312,845,254,720,902,509,083,654,353,515,198,029,612,869,015,841,785,155,
086,468,059,414,688,813,276,417,704,012,366,252,313,775,489,976,724,788,966,
053,912,382,547,364,427,719,267,044,549,931,091,778,680,485,996,423,115,423,
432,634,533,381,881,392,429,818,962,714,372,995,517,500,549,256,331,618,993,
378,716,569,453,067,231,236,776,473,781,634,179,217,822,361,520,210,743,710,
030,688,019,078,619,991,325,189,347,179,017,292,162,670,840,284,951,817,290,
860,071,365,392,792,409,387,363,658,890,077,433,278,547,294,911,697,231,303,
012,632,491,679,495,080,539,763,663,409,827,997,999,536,968,694,524,078,950,
958,478,206,550,603,850,362,071,638,645,537,154,300,653,298,359,316,175,096,
914,709,459,918,104,693,597,727,978,311,539,937,779,675,430,797,499,413,455,
245,417,827,759,463,773,422,372,751,139,310,259,769,133,763,845,465,230,376,
027,058,396,912,182,765,818,093,247,018,453,256,150,848,575,103,792,225,390,
525,614,230,695,996,846,810,468,831,150,657,155,369,536,916,247,897,796,998,
303,337,695,434,526,409,218,114,277,421,719,427,653,176,986,429,973,760,780,
125,470,556,833,823,187,040,114,101,222,688,240,248,984,169,684,402,280,124,
000,969,191,106,279,018,592,628,335,534,976,923,508,023,231,934,126,458,131,
923,090,840,722,668,835,003,730,497,963,287,176,283,547,390,681,320,081,814,
150,435,075,639,447,541,605,548,857,045,719,583,563,655,901,616,272,358,898,
509,890,086,354,848,821,735,942,806,782,459,838,463,416,214,752,031,566,089,
027,803,626,385,491,262,034,534,356,831,219,172,873,689,625,203,631,640,066,
531,358,349,124,046,299,715,955,897,489,738,153,374,701,171,326,947,733,923,
547,166,246,272,341,419,359,433,214,851,923,550,928,702,742,197,185,792,252,
342,461,116,908,150,429,314,374,148,976,514,084,582,200,106,905,809,841,904,
777,401,114,683,597,637,837,492,375,892,092,958,113,988,381,212,112,706,528,
996,529,277,986,250,132,837,665,848,144,029,067,298,336,746,011,139,199,835,
875,226,961,549,550,455,047,032,377,505,563,365,546,579,919,769,105,953,090,
498,110,545,398,734,226,398,190,425,105,184,847,462,443,944,356,020,828,686,
345,024,389,779,723,613,969,301,798,800,373,180,917,447,564,285,706,807,036,
421,729,836,038,212,976,485,853,981,556,135,666,281,900,934,906,771,495,245,
738,143,192,042,730,135,495,698,608,389,950,069,487,263,765,447,515,117,290,
328,581,451,122,045,287,415,924,065,521,281,203,900,685,037,970,099,839,937,
916,265,805,684,159,709,652,346,417,888,054,799,500,478,701,925,722,530,572,
525,962,535,834,483,937,237,412,889,332,483,473,419,809,858,678,261,139,998,
802,300,587,893,695,578,405,563,235,110,117,835,562,648,601,166,303,768,331,
465,145,984,016,485,643,486,278,788,865,110,405,726,467,771,353,172,291,925,
126,048,982,032,390,695,253,738,395,828,811,899,002,151,860,203,253,404,505,
583,209,579,978,849,508,282,980,470,424,243,967,729,130,577,326,802,524,710,
591,920,024,265,282,560,098,153,694,619,898,390,827,833,840,136,399,477,553,
699,212,091,670,161,035,313,660,442,939,211,784,094,896,427,885,228,868,721,
189,216,601,462,360,719,902,715,923,295,922,867,144,775,831,912,654,030,770,
252,642,222,426,826,120,343,561,929,622,865,021,723,900,023,640,934,366,749,
078,191,492,932,313,650,266,769,416,487,694,748,938,116,047,978,125,550,436,
366,086,674,409,469,010,643,287,518,360,273,532,598,223,399,608,534,550,829,
596,514,855,808,101,684,214,423,133,675,263,602,228,592,323,040,408,966,169,
275,524,454,503,284,043,010,817,217,445,079,844,854,637,716,153,372,369,413,
215,435,702,085,148,871,640,012,858,572,866,140,024,957,893,565,874,033,099,
197,347,402,502,735,271,304,523,149,200,413,514,193,378,994,196,086,305,867,
614,045,100,041,014,305,386,937,663,631,037,675,024,896,120,902,394,474,402,
505,104,815,608,729,437,479,525,667,540,044,956,303,771,804,692,022,661,660,
798,936,214,820,308,442,422,427,075,137,005,853,739,623,631,608,393,939,188,
219,520,453,952,965,219,000,022,624,214,407,670,817,217,882,544,453,574,920,
490,880,503,424,625,053,759,505,678,716,879,584,670,826,515,185,554,562,701,
618,879,295,760,624,002,006,942,837,264,070,070,062,873,758,185,079,720,715,
910,238,376,878,142,401,681,843,057,374,546,414,571,971,650,339,653,629,248,
345,558,869,814,360,427,550,754,954,194,031,462,709,678,027,007,267,060,350,
957,319,252,233,436,056,613,999,434,624,486,672,721,843,675,316,562,393,752,
422,180,817,399,531,944,671,484,285,068,532,040,051,398,277,490,427,270,020,
421,888,785,513,765,123,303,380,864,186,216,119,579,696,944,440,422,208,415,
680,841,595,677,259,789,953,093,300,279,839,434,131,577,671,339,844,571,982,
979,641,775,852,228,314,626,565,868,211,303,919,996,430,250,537,588,077,866,
209,208,655,387,677,947,970,699,368,758,359,824,293,497,171,471,866,860,251,
966,905,541,078,304,489,246,368,358,446,623,634,644,771,063,162,744,242,515,
671,983,481,691,018,238,290,164,346,753,186,730,512,801,002,388,174,384,936,
817,425,097,838,309,373,012,709,200,510,972,508,017,860,986,875,122,835,052,
327,135,065,667,696,191,731,812,296,035,423,182,472,591,590,149,143,853,237,
012,445,030,308,946,346,525,020,969,402,751,639,121,744,837,849,887,812,949,
092,246,349,528,216,428,727,973,352,647,154,929,562,854,417,550,386,805,805,
685,286,540,779,286,997,518,566,397,138,017,117,659,670,799,977,251,725,014,
905,835,038,873,929,305,879,376,324,930,305,270,841,826,967,359,924,835,364,
235,054,917,458,386,347,436,304,139,536,262,333,406,553,078,448,962,903,815,
620,991,962,955,233,305,015,301,510,286,309,026,833,815,021,445,670,878,094,
954,777,765,899,771,695,315,316,040,323,958,803,490,479,716,544,851,124,535,
595,881,254,575,953,043,524,514,109,332,219,315,035,682,932,654,096,170,030,
570,486,490,711,807,228,738,385,474,334,375,248,677,044,049,246,587,988,256,
928,399,213,543,780,101,519,677,383,821,158,506,590,940,082,887,269,634,013,
102,087,307,534,007,308,712,601,936,011,530,128,939,866,737,458,493,217,743,
283,287,524,174,513,378,456,744,953,918,084,377,375,430,271,763,713,085,809,
070,185,368,242,654,213,248,546,725,774,932,932,636,702,983,527,126,401,577,
393,642,771,752,300,463,468,621,618,951,993,704,738,621,494,658,483,958,969,
017,071,219,793,736,194,286,369,426,433,717,786,425,891,092,129,361,894,413,
633,637,867,881,251,243,799,344,636,530,056,114,145,619,496,316,752,810,808,
010,093,096,474,176,217,350,892,527,870,323,785,937,327,002,468,201,497,529,
238,126,453,268,079,342,139,757,442,298,748,670,794,943,042,620,482,971,623,
441,314,041,284,452,510,751,353,457,617,791,913,154,543,091,147,223,438,740,
674,568,208,958,535,086,347,493,302,977,257,504,719,817,314,609,101,327,587,
234,671,249,383,695,394,790,805,393,186,127,981,110,233,920,077,490,747,084,
835,005,213,654,064,193,612,048,008,308,499,489,598,974,044,170,878,429,810,
314,801,722,569,206,908,658,811,777,225,519,209,115,200,814,383,268,153,299,
169,647,149,718,678,362,635,065,693,851,894,485,784,049,319,076,754,975,120,
793,861,968,667,427,185,568,125,350,428,963,790,855,958,074,466,115,546,288,
338,064,861,813,088,107,366,624,643,357,953,479,901,007,565,910,169,099,402,
200,968,874,529,964,400,166,878,288,870,254,972,529,859,018,246,175,298,743,
540,579,898,613,159,349,023,143,204,838,560,414,819,678,350,390,120,120,551,
344,154,444,152,139,036,253,535,125,273,229,639,470,311,237,693,218,133,166,
899,487,783,848,943,416,272,225,115,755,406,769,929,935,782,002,047,552,714,
809,918,839,297,279,462,027,639,614,878,686,763,907,272,696,292,594,183,543,
659,377,985,944,703,682,556,182,656,900,135,999,827,025,373,867,148,046,658,
113,648,395,162,887,153,254,022,213,796,044,489,244,149,106,736,524,054,846,
083,611,198,041,704,183,383,906,878,458,798,951,969,503,551,580,538,791,978,
163,362,616,852,376,901,867,535,260,656,539,088,723,266,959,606,280,028,901,
735,295,044,344,114,960,424,772,334,339,303,528,421,239,788,857,726,662,013,
909,912,889,373,163,331,696,767,001,533,453,628,104,728,504,429,441,099,153,
719,651,607,965,480,947,029,384,162,071,333,541,233,456,414,091,073,357,319,
180,254,999,206,798,934,127,506,516,156,610,368,932,601,924,621,207,072,110,
317,635,431,511,170,883,839,626,503,599,706,116,882,371,335,698,100,444,603,
487,649,832,585,649,644,987,333,432,949,613,034,777,853,078,693,539,527,507,
160,834,975,501,800,132,058,117,521,016,231,590,850,530,815,575,454,990,074,
634,920,899,133,678,803,387,287,383,433,966,563,769,982,669,615,837,337,208,
293,075,465,775,534,689,157,672,326,276,260,512,099,971,444,461,592,272,783,
939,081,033,825,688,698,900,622,483,270,763,238,491,936,180,510,894,455,219,
860,930,909,407,138,455,388,758,906,739,771,989,178,592,418,103,981,769,411,
601,735,080,971,809,175,293,505,933,048,921,919,555,774,366,456,709,134,590,
988,440,544,059,390,908,457,079,296,224,987,686,435,008,895,956,337,344,002,
238,274,539,338,185,017,228,026,512,665,730,828,291,623,634,859,905,951,580,
839,732,812,957,744,050,171,972,295,509,840,487,614,495,927,734,529,355,139,
161,555,823,299,385,941,645,737,322,172,011,490,931,415,806,516,494,431,748,
226,331,081,749,173,232,901,574,363,948,269,912,639,200,659,667,362,733,618,
143,559,353,026,924,422,742,643,396,958,000,900,970,548,772,881,978,719,871,
393,364,106,015,619,234,969,711,893,550,368,364,578,451,071,454,897,644,150,
891,523,523,028,783,338,799,274,485,693,321,929,343,435,662,619,372,041,786,
468,449,685,658,153,413,650,057,918,055,438,842,106,595,118,569,054,286,516,
520,768,526,730,296,729,517,672,021,764,558,823,579,992,177,765,946,342,116,
614,447,263,070,491,977,595,438,525,767,540,048,189,003,691,030,726,292,863,
787,195,546,431,744,536,582,134,622,378,252,681,778,689,802,215,320,573,866,
782,210,288,751,968,967,606,191,828,070,629,016,662,908,581,379,304,537,908,
666,440,553,357,175,408,380,840,441,779,445,428,033,807,820,325,973,169,855,
853,440,157,728,930,089,626,389,303,965,462,427,989,258,003,132,826,081,904,
364,732,583,342,383,359,944,361,952,942,320,475,329,066,011,895,866,341,804,
431,760,635,650,945,361,270,045,717,342,912,786,352,669,141,267,274,242,005,
003,885,132,480,766,459,090,304,154,148,259,916,974,202,948,958,920,435,175,
927,774,554,897,235,385,250,487,827,361,859,833,082,541,658,027,593,661,103,
519,862,871,870,674,617,629,642,477,720,321,552,011,275,024,000,579,667,405,
931,937,040,076,334,325,090,476,765,273,555,038,499,140,311,442,171,773,766,
156,499,675,629,458,831,239,984,908,386,627,258,124,264,931,531,612,835,768,
566,829,864,486,838,498,634,221,266,953,292,875,407,525,928,699,750,981,274,
205,577,547,327,788,731,913,966,213,654,115,054,636,877,856,555,163,376,676,
129,690,612,391,980,234,679,085,879,671,397,476,373,250,707,702,495,055,007,
510,482,877,788,600,552,122,177,163,828,644,840,957,897,615,518,349,459,260,
103,013,634,916,781,247,536,462,250,422,013,012,746,902,606,356,673,826,878,
538,756,681,568,059,687,136,269,310,873,571,760,506,464,893,247,052,852,582,
410,314,779,256,085,211,564,273,210,327,677,156,909,715,058,309,858,513,405,
324,329,084,040,079,809,275,400,255,218,493,383,365,328,391,549,134,546,890,
320,114,982,057,966,367,011,879,554,269,943,968,729,595,431,211,757,393,351,
677,423,864,518,080,696,476,341,978,607,197,196,509,694,439,426,959,925,362,
981,039,370,558,054,065,435,942,558,489,077,153,202,433,548,059,881,153,621,
512,344,239,891,546,751,699,023,713,301,866,921,050,925,798,895,527,823,871,
211,293,500,933,446,620,488,869,365,913,718,819,466,971,941,162,638,091,925,
432,790,031,463,353,370,652,799,049,313,630,891,058,098,814,613,761,626,133,
781,431,015,246,890,399,765,419,239,251,499,614,462,160,780,977,281,277,128,
979,595,387,045,485,143,892,494,394,129,744,658,308,079,997,369,525,817,446,
805,505,442,401,181,411,996,078,570,066,766,772,725,442,658,124,674,106,150,
546,467,103,001,056,620,343,524,237,863,634,927,329,388,958,131,666,547,651,
053,813,778,680,631,748,818,159,430,671,855,510,025,219,896,656,214,077,797,
362,787,043,448,590,627,823,166,307,408,753,267,147,565,020,224,381,490,020,
766,835,944,074,729,437,267,395,175,887,547,405,383,690,366,301,786,944,660,
409,750,311,770,872,596,221,791,627,314,415,334,836,858,583,275,944,551,909,
222,929,421,046,285,838,037,816,678,069,755,451,851,679,155,887,972,184,033,
270,292,687,722,310,436,500,120,445,592,141,907,547,748,896,052,810,923,531,
169,474,869,788,428,209,149,630,954,753,677,392,196,291,049,637,536,992,265,
766,154,464,452,565,757,430,875,122,765,971,192,105,484,916,944,753,386,358,
051,483,072,070,969,305,585,633,718,545,135,062,563,073,490,445,077,426,944,
046,223,350,438,931,906,194,992,882,754,032,545,169,550,533,676,702,066,276,
146,615,441,783,310,624,586,757,250,652,656,409,545,029,642,182,090,494,231,
332,032,142,631,608,729,578,012,154,686,952,974,462,319,374,117,819,983,768,
006,039,189,586,903,859,052,115,759,053,264,634,869,790,769,519,151,344,495,
239,656,721,257,880,884,204,520,620,266,827,834,833,212,715,419,534,120,595,
553,196,504,402,051,562,080,202,624,528,690,132,473,697,272,999,677,814,113,
644,169,589,200,234,291,206,024,786,956,966,364,141,050,029,338,858,966,377,
839,508,312,059,506,070,054,098,052,784,236,152,972,131,054,939,309,673,622,
995,486,961,426,987,595,975,352,349,039,445,578,395,125,743,790,470,137,232,
813,953,621,054,918,800,063,099,731,816,039,709,322,110,301,931,947,470,043,
713,585,230,939,729,297,784,957,888,407,196,751,276,447,750,638,176,057,081,
281,698,806,234,410,448,558,465,177,818,853,420,216,053,636,414,232,551,923,
593,182,511,320,550,957,758,323,942,657,876,495,409,883,891,969,686,766,870,
138,410,121,007,429,082,209,190,177,627,286,926,486,392,851,300,135,590,838,
509,508,316,990,901,686,637,454,284,726,417,532,049,480,583,067,195,561,599,
617,514,158,760,311,868,230,887,963,442,869,244,217,436,761,872,023,187,375,
785,413,339,559,499,107,499,539,270,247,228,933,566,088,446,374,515,739,608,
109,692,575,403,148,812,287,760,340,054,687,685,542,150,740,786,408,697,430,
663,746,742,046,287,889,184,639,537,282,322,669,596,671,897,745,914,182,155,
153,236,549,008,173,814,572,230,573,682,114,812,685,046,862,700,883,078,675,
419,476,097,730,044,125,751,529,591,937,509,955,723,983,970,007,506,937,401,
028,340,106,581,162,103,422,027,643,682,829,575,814,415,687,154,358,977,169,
545,797,208,146,645,801,087,434,370,629,628,449,448,618,351,262,158,680,878,
388,955,671,686,359,839,026,413,877,630,669,975,995,430,026,506,308,735,529,
613,068,298,708,863,792,599,881,612,318,463,675,801,897,908,891,778,785,835,
775,514,719,458,442,329,320,975,563,794,003,737,450,886,471,847,192,879,395,
615,415,901,418,614,852,537,044,696,625,460,794,528,153,654,780,038,405,605,
380,420,792,784,418,259,060,273,087,731,911,538,689,898,936,892,133,098,083,
498,410,677,537,928,815,611,059,728,130,266,789,815,043,084,141,430,048,754,
759,654,554,050,539,436,811,760,002,866,752,592,925,826,391,983,511,478,652,
211,807,820,347,543,797,695,750,933,411,453,684,114,488,624,123,703,432,569,
884,361,312,599,448,064,020,220,368,200,502,199,208,984,332,873,821,703,199,
539,547,454,138,811,798,672,162,871,194,839,116,281,584,015,858,902,472,877,
395,806,780,051,614,792,476,063,834,133,696,754,076,466,466,511,544,768,546,
990,803,236,640,487,959,078,217,280,085,214,453,065,691,583,543,178,186,647,
016,347,468,107,894,849,073,248,355,840,540,621,254,209,752,004,861,187,048,
168,029,140,741,943,081,576,699,164,936,264,481,062,047,242,821,503,001,504,
597,904,521,841,783,547,543,745,579,223,788,559,604,270,105,822,281,411,217,
013,252,354,577,131,997,323,454,183,724,808,643,692,262,134,603,774,571,795,
572,679,159,975,270,568,116,534,855,563,328,563,752,888,752,353,269,542,781,
549,852,422,807,416,628,456,524,826,195,769,471,686,584,479,670,696,590,325,
006,427,542,680,535,031,417,218,325,304,678,141,991,143,400,613,902,843,646,
946,635,246,809,640,475,281,789,909,608,531,231,243,192,438,501,972,133,026,
566,948,330,611,585,109,946,287,952,806,441,860,041,584,013,283,494,875,819,
332,810,433,954,277,942,966,765,820,665,892,607,536,908,170,131,175,162,300,
615,169,796,802,891,231,932,116,427,968,594,686,719,845,345,863,463,527,901,
703,714,571,535,891,225,707,911,695,279,250,574,179,888,019,194,441,000,338,
910,310,075,510,532,818,206,483,599,997,500,187,606,822,934,933,719,947,299,
917,365,054,876,977,274,253,105,751,408,015,739,156,900,347,944,423,549,787,
253,853,766,013,997,435,949,163,295,049,691,583,496,983,008,793,477,066,472,
738,317,545,577,341,909,339,093,889,025,939,187,046,727,137,856,542,540,136,
866,255,702,667,222,418,318,526,365,778,695,859,748,038,368,265,553,432,248,
800,271,229,360,314,704,288,079,487,202,315,014,183,820,203,951,845,397,137,
337,729,818,438,761,321,369,865,428,098,199,068,766,315,525,392,428,414,390,
003,664,357,525,768,639,213,562,403,840,166,428,382,343,923,882,478,191,558,
842,242,083,676,716,016,777,806,175,040,653,402,437,873,763,823,478,960,184,
692,818,755,505,252,667,221,875,212,059,387,094,758,079,052,211,610,120,395,
363,056,125,959,680,986,875,660,906,891,014,299,815,057,938,703,452,832,119,
114,603,172,271,415,462,149,969,597,110,290,556,818,510,070,228,043,107,177,
662,826,257,420,541,382,050,265,226,954,273,868,353,563,599,052,587,484,161,
458,794,331,698,555,745,619,123,521,522,194,071,618,250,365,693,681,103,272,
168,544,839,763,353,658,845,533,711,350,340,497,669,046,862,624,220,908,399,
727,947,389,941,968,024,331,027,468,506,963,497,392,343,923,008,093,084,332,
898,769,716,139,245,205,965,828,956,450,708,772,665,897,165,551,383,524,752,
932,192,382,402,713,274,561,355,108,293,249,191,354,752,438,330,026,282,940,
166,879,877,032,475,839,087,099,125,725,345,435,601,880,661,808,512,875,913,
499,826,693,403,322,394,806,822,742,026,984,024,371,718,791,622,109,655,876,
608,093,105,535,689,468,648,638,934,126,099,009,979,336,016,026,595,834,276,
834,296,941,737,468,885,233,802,404,791,865,393,974,846,219,759,518,225,803,
360,598,319,730,248,943,576,048,239,730,934,191,896,989,203,272,276,288,340,
723,237,040,173,772,587,264,504,817,958,694,919,485,298,774,576,813,606,832,
183,091,171,073,709,075,174,949,787,649,647,251,636,933,224,888,497,542,390,
754,134,532,168,405,457,711,840,951,701,584,856,628,896,761,736,236,464,648,
653,125,035,622,489,096,933,446,531,580,737,862,006,850,739,054,672,769,736,
274,362,484,623,655,899,587,660,183,361,471,871,388,972,986,723,167,997,371,
054,495,047,701,583,361,738,690,965,517,122,309,625,375,444,369,982,380,205,
897,124,330,958,705,279,057,508,543,127,674,419,943,594,867,242,326,507,112,
826,061,778,137,760,532,839,408,234,131,472,899,957,440,393,367,746,402,776,
635,155,332,299,048,395,377,400,817,531,952,709,284,837,759,248,493,737,641,
368,958,829,531,265,265,677,321,469,313,961,318,255,905,020,878,084,943,298,
142,679,394,642,628,731,840,105,658,346,024,690,987,183,053,074,530,225,961,
729,602,373,551,270,825,492,692,897,464,588,730,071,282,388,879,055,971,554,
894,639,120,865,657,549,705,751,803,258,140,523,590,524,955,503,125,679,249,
925,194,656,414,270,333,755,423,653,350,068,951,196,135,325,677,769,162,699,
336,155,502,912,490,422,616,365,562,627,647,547,659,291,150,897,720,123,991,
099,408,964,856,850,493,760,349,541,306,413,103,134,534,394,781,945,837,344,
973,771,948,188,802,404,567,183,683,706,332,690,622,234,870,469,464,348,461,
744,576,089,721,654,287,385,187,690,510,922,530,315,366,055,365,833,423,994,
401,012,973,108,219,878,616,325,323,189,332,374,668,252,282,256,123,626,333,
130,894,505,159,837,999,462,182,861,842,925,972,188,126,260,093,008,752,837,
292,336,548,722,745,331,428,725,302,797,939,022,270,646,967,400,166,469,158,
120,021,665,630,603,873,033,712,938,747,140,779,858,640,349,697,634,939,472,
404,304,112,055,988,085,278,859,966,438,764,508,524,387,518,093,524,802,426,
222,104,684,382,446,502,365,726,268,559,357,660,799,319,068,392,637,751,422,
595,012,707,431,693,723,037,876,618,312,964,736,312,527,875,148,205,597,203,
746,641,424,228,640,154,026,178,525,926,899,096,287,523,412,944,693,193,411,
380,495,237,176,055,080,503,279,166,633,949,413,162,982,331,749,579,263,507,
558,979,204,046,622,884,288,053,921,651,096,527,923,909,224,390,285,834,644,
995,534,388,977,630,787,483,501,048,110,931,665,244,938,778,471,731,223,778,
127,493,570,874,957,355,925,586,238,380,968,126,942,438,169,823,105,271,862,
086,243,812,719,156,833,382,243,470,635,672,454,385,936,366,032,138,231,473,
985,539,354,709,681,660,700,359,914,646,045,857,245,163,949,265,091,560,955,
687,792,924,336,613,893,885,224,347,849,637,030,438,633,872,100,586,027,498,
661,233,307,317,240,034,907,653,167,275,759,687,449,165,246,116,801,966,887,
555,158,032,450,686,108,451,996,095,010,979,805,274,276,017,667,767,397,388,
237,879,794,148,498,233,280,416,151,752,989,623,625,706,696,229,823,045,607,
808,998,558,258,952,263,584,997,274,864,717,952,141,867,061,259,130,804,199,
825,169,947,328,144,176,433,217,081,802,564,975,920,155,446,351,361,045,940,
339,156,173,770,979,910,131,041,122,619,318,606,171,766,006,870,660,837,063,
675,144,638,670,820,897,193,526,781,188,564,935,199,122,082,633,712,008,731,
932,285,058,801,299,552,645,877,048,102,340,695,297,433,936,867,007,545,971,
279,764,395,570,195,233,473,982,180,279,621,829,119,852,538,574,917,037,188,
337,655,696,956,900,709,627,558,942,319,119,465,560,923,929,105,186,210,340,
765,850,045,674,334,476,431,843,184,597,335,344,655,273,223,784,072,843,752,
807,376,069,340,904,332,959,717,049,844,089,644,865,748,592,834,421,719,899,
677,845,610,870,553,768,647,917,876,573,427,261,985,495,413,847,891,260,821,
188,306,600,334,424,131,814,890,774,806,978,064,309,528,290,979,414,210,647,
632,352,871,865,562,336,419,289,840,194,756,801,934,493,815,491,250,432,144,
128,298,987,251,610,186,615,148,533,902,662,740,763,953,857,803,529,783,663,
491,417,311,219,460,923,259,950,948,462,370,059,575,445,243,774,819,247,510,
262,253,232,920,843,266,475,071,990,802,120,424,716,930,698,748,780,255,583,
424,316,439,478,446,520,852,565,065,664,342,397,395,033,993,120,940,477,781,
300,318,425,004,776,557,615,969,307,647,391,226,463,916,902,259,166,045,484,
578,769,491,678,277,224,425,895,628,461,079,502,741,028,885,843,971,173,311,
582,734,658,531,826,634,605,081,866,992,174,515,937,560,974,559,866,531,497,
225,919,798,838,099,069,691,974,815,484,209,005,643,911,752,873,793,748,939,
395,182,253,649,317,618,150,934,517,179,742,112,782,862,247,692,351,110,031,
100,599,230,012,707,738,086,071,505,898,076,009,919,824,932,685,317,391,183,
528,510,980,546,635,356,016,368,808,085,280,676,424,650,760,417,397,033,554,
785,966,359,603,347,956,955,863,078,342,105,076,843,397,847,785,126,888,153,
304,664,233,214,410,159,833,401,944,856,401,576,179,657,497,847,854,969,458,
587,134,664,715,913,471,192,600,600,485,712,088,501,810,696,724,504,573,760,
298,673,707,678,412,505,702,248,510,765,405,300,972,067,660,035,537,780,093,
186,352,214,856,444,750,200,697,552,821,981,741,285,687,346,482,025,195,293,
636,552,721,801,887,326,108,779,870,224,738,795,766,817,546,583,435,013,756,
331,430,675,103,733,916,311,263,363,886,502,215,708,669,900,506,109,860,716,
471,699,624,534,923,308,678,955,038,990,273,365,868,630,712,560,857,908,315,
655,366,775,129,925,513,181,546,443,744,459,365,150,425,793,851,131,555,484,
113,333,893,205,794,008,429,125,022,112,074,437,512,568,035,333,201,960,050,
385,082,289,174,146,085,841,508,732,493,582,564,276,171,747,275,165,202,444,
278,748,124,155,537,560,494,413,369,552,110,466,169,361,575,556,196,548,665,
700,468,600,007,048,707,007,279,153,025,553,852,072,713,587,610,309,099,936,
778,909,704,460,784,711,193,619,576,221,806,638,621,748,175,965,782,035,225,
409,096,541,785,567,846,951,344,582,715,046,612,881,533,154,384,306,737,134,
789,580,847,546,320,360,648,485,525,241,179,613,156,554,992,806,114,470,018,
099,303,728,008,800,809,876,180,434,914,449,269,462,287,140,842,104,330,948,
487,500,077,948,133,282,984,130,913,973,569,343,318,189,810,537,777,392,392,
748,186,230,415,869,790,591,519,571,559,662,319,473,220,725,530,408,972,321,
761,652,445,944,509,596,555,877,769,226,114,813,827,390,090,326,749,613,175,
650,081,325,990,559,196,296,879,182,950,612,684,068,222,871,006,496,184,625,
642,815,643,961,010,160,929,988,673,403,337,734,642,735,180,319,990,654,997,
453,339,219,679,757,837,192,292,901,377,590,915,435,282,267,122,987,662,447,
260,010,032,790,940,972,603,692,573,685,404,571,902,339,410,752,749,196,871,
425,318,209,423,125,443,319,929,020,903,853,163,108,033,343,162,134,159,820,
017,293,338,246,909,578,927,040,497,568,418,929,181,067,102,038,559,793,701,
157,420,205,596,834,779,778,454,642,352,818,104,784,141,860,180,752,787,186,
491,860,086,679,007,127,689,116,250,671,909,816,767,926,100,193,841,040,801,
774,246,929,818,029,609,882,257,759,038,728,061,652,757,011,931,513,083,830,
096,409,513,331,607,490,159,077,894,523,254,526,864,390,940,239,656,115,339,
703,361,234,884,130,222,932,288,732,779,384,793,638,291,453,475,810,215,455,
290,281,635,945,708,235,305,192,245,345,556,482,905,599,820,697,534,326,459,
078,087,264,861,302,833,167,384,848,997,773,548,984,022,416,812,756,227,498,
279,194,072,029,822,136,244,988,281,292,150,568,153,558,579,944,573,037,525,
334,619,727,196,199,472,007,209,283,606,136,541,140,702,502,744,581,038,925,
191,526,062,987,558,227,307,089,558,385,795,543,849,053,054,027,304,523,357,
849,136,163,470,291,609,671,730,679,262,036,708,825,465,229,857,780,505,477,
329,510,626,592,859,617,686,228,466,052,947,074,240,377,038,407,031,991,064,
402,085,543,277,822,307,978,507,756,936,920,075,311,638,926,793,316,748,061,
886,563,631,659,270,149,675,007,976,782,319,096,441,652,276,650,711,264,361,
146,723,443,278,164,981,230,559,999,880,813,511,352,185,343,271,942,002,665,
682,633,889,863,919,607,746,975,380,279,551,246,064,677,539,650,948,975,736,
727,626,219,403,511,999,899,506,611,513,693,645,974,902,122,928,293,864,357,
709,773,562,140,017,211,346,355,671,560,031,378,274,977,481,824,464,898,150,
026,412,175,150,656,266,266,638,844,541,058,015,643,322,537,001,509,642,218,
761,993,499,812,641,014,029,555,249,466,390,068,230,081,130,034,527,318,986,
150,542,786,714,985,640,233,101,795,569,821,022,180,154,792,700,098,008,235,
077,739,412,364,433,402,281,579,001,818,767,499,724,923,387,999,796,182,553,
838,780,744,735,773,798,090,504,949,251,878,605,205,822,984,003,437,293,246,
970,375,543,701,903,659,540,250,059,579,537,410,103,836,031,439,311,569,315,
878,718,714,489,317,252,892,744,676,690,047,658,753,303,954,292,153,111,511,
251,637,287,162,445,376,322,076,366,534,594,802,166,761,306,895,247,672,090,
792,325,230,703,276,650,014,006,233,698,971,444,082,415,002,642,517,643,002,
929,224,120,554,950,872,139,969,767,414,140,877,240,835,393,023,437,091,005,
980,241,787,719,465,499,650,960,980,840,307,271,872,959,125,335,404,509,321,
054,914,774,534,003,340,395,329,327,854,180,743,346,536,338,157,454,698,492,
758,548,119,307,579,977,746,546,658,838,004,348,221,970,526,258,780,522,272,
909,226,682,847,055,545,876,649,906,438,842,363,923,173,003,684,558,255,577,
601,649,029,643,657,625,519,975,016,412,410,851,765,442,388,441,312,287,593,
138,742,487,610,744,619,190,435,842,758,945,030,590,329,768,132,333,017,892,
007,228,662,675,198,316,072,231,836,054,328,198,649,616,084,114,264,757,378,
374,171,404,752,389,187,070,827,862,240,200,095,332,799,755,698,606,399,893,
313,965,330,102,065,699,224,582,674,935,911,616,347,707,614,138,290,062,353,
968,126,394,869,427,067,628,420,115,448,132,621,436,690,116,484,427,321,655,
438,879,682,384,892,117,044,518,338,709,056,699,856,097,654,091,884,910,919,
252,880,431,274,850,618,994,987,468,302,357,156,374,091,674,947,360,145,974,
817,141,266,676,294,284,869,341,927,634,966,882,468,032,012,235,645,008,092,
539,003,256,171,002,679,857,263,606,514,182,396,005,177,533,820,582,365,778,
335,579,279,615,718,139,753,217,300,734,507,324,642,368,150,200,674,569,565,
649,972,639,448,833,482,866,296,812,106,167,122,007,143,625,238,043,033,102,
569,543,964,948,466,004,149,828,167,547,077,053,276,331,563,056,165,294,946,
533,481,259,927,062,757,287,495,319,632,492,364,930,726,541,806,358,339,215,
048,186,323,763,549,746,764,892,140,949,064,256,938,909,851,003,128,939,066,
106,078,302,287,559,487,428,152,092,385,744,801,346,142,003,420,497,739,917,
812,497,525,536,330,467,922,112,618,353,240,979,113,898,199,433,932,593,747,
547,170,542,086,180,050,420,318,804,522,069,265,668,521,837,115,401,527,055,
526,959,292,641,854,792,758,565,657,297,852,850,334,244,777,977,823,062,332,
207,280,490,393,130,761,427,281,790,900,975,679,181,861,812,688,243,783,992,
106,712,037,419,560,386,540,592,848,627,153,122,592,016,258,887,261,924,936,
790,023,403,281,193,915,889,885,144,586,697,743,025,043,128,717,595,311,810,
493,461,764,631,541,321,157,706,035,391,018,387,528,273,078,833,107,517,470,
005,962,744,258,588,584,820,341,907,906,847,952,864,319,732,475,213,999,419,
597,835,428,347,150,988,463,867,995,688,792,623,493,593,902,546,143,662,220,
753,043,360,213,393,145,366,494,297,503,376,087,008,678,136,923,517,772,698,
575,792,735,108,591,615,559,490,143,108,244,332,339,113,068,466,464,905,443,
978,668,384,759,983,913,694,272,807,436,213,181,695,864,288,370,178,524,061,
398,556,962,326,232,218,827,774,412,965,239,878,883,674,031,423,569,472,206,
927,624,305,049,252,274,694,950,904,270,144,393,223,654,535,509,254,657,682,
499,301,641,483,384,205,262,958,093,592,739,482,356,766,711,384,119,247,780,
539,759,047,944,693,390,699,038,769,783,724,705,608,388,742,735,942,971,732,
130,669,046,248,936,157,587,981,755,561,890,693,281,575,987,869,070,307,143,
102,659,754,228,026,632,897,426,794,002,769,410,003,879,321,524,000,680,141,
825,450,781,866,399,158,020,984,577,763,083,083,260,255,013,557,585,721,710,
929,931,983,903,605,379,231,531,093,013,622,634,037,463,972,870,215,831,067,
736,327,027,843,958,520,270,392,198,771,772,858,891,458,934,510,142,265,804,
698,226,324,490,051,167,791,208,128,666,943,142,352,760,573,796,479,528,215,
468,837,637,904,260,365,559,386,254,739,947,191,540,929,889,006,147,005,996,
698,088,645,345,557,701,251,824,427,544,196,177,272,865,778,994,010,954,824,
040,385,154,818,911,230,081,835,800,946,833,249,647,438,967,042,572,264,855,
611,462,099,690,542,390,780,577,408,591,764,269,387,881,802,299,927,004,140,
972,500,775,323,090,713,218,855,285,575,356,074,123,872,014,325,949,620,595,
667,206,400,075,448,587,477,094,019,650,374,850,637,339,968,077,159,459,115,
516,843,097,712,598,560,223,855,953,074,749,697,724,553,569,857,246,433,793,
961,667,346,707,647,056,281,145,085,022,132,715,584,432,086,031,352,422,122,
460,442,029,973,920,234,862,970,063,334,254,124,468,519,126,988,739,505,146,
592,091,025,882,515,496,510,849,118,729,653,458,741,387,730,071,781,739,698,
710,374,895,073,453,928,408,869,952,659,116,283,774,428,613,721,786,651,379,
705,629,458,305,724,597,368,452,352,947,799,312,864,740,385,158,831,388,854,
039,538,718,375,133,872,520,457,953,065,103,004,741,130,604,610,232,576,699,
335,391,332,425,194,455,808,922,172,625,262,640,337,746,662,220,299,567,350,
202,717,868,391,380,688,768,658,553,175,819,993,547,272,538,303,598,248,055,
331,967,272,836,825,055,949,130,150,104,780,864,665,615,750,510,277,744,899,
698,715,369,659,885,022,350,375,777,593,742,249,902,874,991,076,467,823,220,
808,828,991,890,748,510,371,269,671,101,003,132,670,267,790,596,248,392,755,
418,552,875,232,050,881,272,751,973,318,866,843,094,872,042,663,376,144,652,
399,089,246,399,392,392,810,896,434,522,380,984,249,141,064,987,337,916,614,
118,945,018,835,795,895,501,464,000,913,902,412,834,579,129,144,781,658,286,
936,729,334,800,050,155,608,226,957,714,908,682,082,780,167,538,059,163,595,
423,801,711,080,416,908,865,549,672,056,004,463,901,004,871,114,732,644,848,
054,908,673,206,753,463,091,968,501,771,237,618,291,475,248,636,904,020,358,
095,781,050,593,850,275,287,941,060,519,036,359,857,275,100,397,146,010,273,
469,139,037,109,586,134,466,537,137,804,495,671,178,340,707,452,587,467,036,
779,763,354,932,357,941,746,976,542,650,369,062,639,180,396,271,906,925,557,
154,734,973,624,703,321,754,979,668,941,536,375,633,699,940,413,643,082,444,
436,274,430,998,524,248,773,507,600,043,073,230,122,154,008,014,471,514,962,
699,235,365,069,575,186,171,796,424,944,205,827,844,266,731,983,398,437,549,
898,570,686,464,799,809,254,616,324,621,497,819,939,827,418,432,388,037,690,
737,108,751,234,000,928,815,630,917,994,989,680,610,527,314,085,260,690,529,
542,928,677,142,710,197,599,228,341,441,164,594,558,274,961,961,685,660,354,
851,369,543,378,160,296,547,985,269,747,298,892,754,722,683,351,872,294,048,
453,862,612,290,788,271,227,233,849,766,841,671,770,828,690,243,897,831,409,
996,468,855,028,864,955,854,327,752,876,508,996,325,156,752,310,190,587,658,
242,378,514,212,197,943,651,661,733,965,288,384,343,055,766,687,124,639,690,
030,458,712,965,263,245,600,889,691,114,028,736,344,429,437,299,681,771,088,
718,391,089,500,753,151,230,079,812,608,391,466,201,345,290,822,718,559,931,
624,642,072,692,641,513,348,542,124,588,420,640,114,381,763,883,059,286,043,
700,032,420,528,954,973,493,766,224,794,926,265,046,398,846,867,303,054,023,
796,341,141,323,391,022,307,510,399,352,351,119,118,023,201,905,828,648,176,
456,976,229,205,577,882,959,393,411,668,494,569,737,737,366,580,534,749,054,
752,521,955,800,862,679,342,700,670,156,551,774,688,068,026,194,306,246,804,
909,055,475,640,909,613,750,509,692,953,496,806,438,202,398,905,374,289,445,
780,008,382,086,268,572,372,158,198,489,561,000,235,126,513,115,472,278,024,
828,410,861,197,062,996,417,221,663,999,631,622,140,118,093,811,897,813,383,
770,183,045,504,089,301,249,994,564,189,695,641,743,006,272,104,392,510,900,
336,283,832,504,421,936,654,386,019,984,181,581,586,871,280,383,393,842,539,
830,976,876,049,698,345,242,163,306,608,358,619,079,210,554,702,371,267,147,
163,133,181,285,405,545,605,918,478,726,089,575,149,751,578,708,232,811,151,
103,794,169,471,771,976,531,616,235,694,492,110,287,349,871,285,898,525,991,
635,299,680,787,554,234,503,909,238,397,041,942,740,773,704,794,004,664,614,
687,927,630,857,504,653,850,768,737,835,319,011,948,968,313,792,486,654,808,
757,104,412,254,407,419,503,155,670,667,384,496,527,654,263,829,122,805,422,
175,129,067,654,394,706,378,179,303,702,609,454,852,519,084,892,727,931,914,
651,344,230,434,473,105,624,818,811,076,788,500,716,025,205,593,363,894,835,
735,896,990,269,839,542,532,805,814,171,191,395,139,107,837,604,120,312,986,
462,470,126,039,709,917,427,126,033,133,930,877,320,130,793,108,930,022,457,
739,918,727,211,910,559,705,219,603,167,465,402,595,997,977,217,372,218,144,
171,093,309,340,596,965,275,462,976,546,175,983,017,069,783,749,632,680,247,
069,199,905,262,452,401,912,158,716,123,605,491,587,047,969,018,430,520,416,
170,008,857,167,611,755,293,937,378,157,812,351,186,924,444,208,230,293,035,
625,615,575,288,414,054,929,337,423,287,517,641,064,137,933,970,411,126,157,
358,513,534,037,528,931,154,162,303,814,019,674,456,813,434,761,515,450,016,
189,843,508,963,680,955,763,231,695,990,315,592,838,865,116,680,586,718,252,
231,773,777,544,527,509,405,362,264,619,341,554,438,658,606,922,594,509,149,
454,015,226,023,307,541,747,311,475,502,185,220,941,605,490,175,388,433,558,
088,733,865,350,662,685,402,679,394,462,242,082,415,267,024,241,320,256,886,
745,174,280,525,188,479,711,506,932,472,424,649,198,253,145,331,336,768,820,
698,247,689,024,916,926,963,966,206,945,232,354,782,729,339,989,033,961,803,
919,993,761,036,895,369,787,219,337,645,739,514,214,819,922,407,674,076,412,
681,267,051,636,729,767,908,165,199,270,756,719,698,609,023,985,408,326,670,
524,444,950,762,049,003,893,437,274,349,098,914,554,377,060,704,093,865,077,
469,304,739,137,576,050,367,502,490,282,020,264,563,153,234,003,091,622,664,
621,078,299,027,663,064,192,358,002,636,240,470,963,609,312,869,549,570,042,
723,588,659,276,807,951,032,544,508,470,520,459,264,555,669,647,085,293,824,
991,083,578,973,755,923,284,044,799,725,432,035,705,436,969,519,960,005,614,
507,907,197,727,130,143,456,021,085,776,361,829,250,563,975,007,766,016,007,
937,781,752,736,491,874,004,091,436,656,764,407,373,575,694,415,113,605,010,
732,431,993,507,445,199,749,996,277,151,977,060,237,300,173,200,769,333,081,
154,751,022,469,032,745,372,437,705,570,912,520,027,003,833,998,942,335,763,
922,049,613,636,571,619,143,313,611,393,443,294,966,821,474,545,987,120,367,
193,836,520,452,735,371,968,743,140,020,197,841,236,652,512,194,371,441,814,
987,732,899,737,057,584,392,950,825,385,167,683,875,954,772,469,553,173,737,
017,303,319,520,835,364,255,862,843,641,790,483,839,815,303,812,127,433,494,
977,795,935,020,816,605,678,016,833,932,141,267,719,846,068,296,478,318,440,
459,211,099,886,935,361,809,108,607,459,012,224,576,842,643,147,308,880,475,
332,902,939,653,075,223,246,607,003,693,324,108,838,690,339,466,586,177,605,
468,838,784,549,696,420,815,554,876,310,160,676,581,654,121,528,817,470,027,
664,134,138,621,591,631,762,098,327,022,149,590,240,711,048,672,705,727,471,
399,947,622,282,907,931,584,171,020,113,092,335,794,278,419,471,586,618,539,
589,553,217,377,194,268,516,149,598,798,613,269,195,252,056,316,953,718,314,
250,676,404,880,615,992,484,249,210,960,505,396,461,248,044,453,948,308,948,
534,678,056,501,958,354,024,556,780,878,634,666,638,965,141,127,044,840,624,
151,048,961,593,687,496,728,485,845,482,682,419,161,992,398,788,293,593,434,
671,840,148,144,037,184,631,177,904,133,885,053,632,819,896,926,340,154,005,
121,906,947,587,361,001,716,232,080,810,400,259,646,524,442,197,578,536,357,
742,602,422,112,150,826,611,758,775,947,097,375,174,020,069,164,445,276,918,
245,845,659,973,924,392,065,256,608,575,964,008,351,061,883,188,861,280,526,
448,935,766,196,774,090,062,673,619,912,956,411,749,119,152,985,596,093,056,
506,529,229,374,589,623,922,676,249,075,651,293,028,920,459,299,083,526,707,
624,576,953,704,607,134,996,587,764,220,282,111,949,773,374,899,476,143,255,
892,325,538,109,788,040,205,838,474,332,440,005,168,804,935,299,335,959,899,
149,135,013,743,670,880,789,608,926,120,146,821,554,827,947,587,326,440,758,
338,907,219,276,041,910,874,013,771,836,254,648,717,022,564,058,306,352,601,
429,966,900,016,528,689,171,963,819,777,221,909,638,257,566,137,549,565,480,
006,721,929,291,573,391,409,595,832,049,887,082,517,613,918,447,609,708,191,
320,549,694,965,309,148,219,616,142,692,095,491,459,144,093,008,239,225,573,
038,262,368,091,740,605,166,131,163,223,589,392,720,919,918,387,127,418,895,
943,115,478,722,449,165,390,739,781,002,670,306,648,362,103,064,283,686,215,
682,005,941,153,127,165,569,338,309,513,415,979,276,832,386,746,934,118,134,
710,156,151,500,975,055,504,057,441,512,434,089,714,727,686,983,793,171,764,
402,891,252,254,089,172,972,872,928,261,030,047,989,814,097,837,857,533,557,
669,551,234,768,321,227,874,445,071,177,330,032,618,113,724,561,506,649,962,
181,819,972,509,154,805,561,640,374,856,961,562,673,903,814,644,994,944,326,
382,964,430,512,415,568,099,470,876,272,183,015,140,749,969,677,783,551,728,
143,762,404,882,175,076,295,355,978,450,253,910,367,522,154,894,660,517,643,
047,003,620,497,284,622,568,559,745,854,339,385,206,854,350,622,326,109,364,
591,252,266,331,465,272,030,551,284,033,872,579,555,351,884,032,734,719,179,
086,304,278,884,175,783,221,605,133,129,210,036,631,676,973,667,210,180,876,
816,844,542,713,354,066,532,384,866,916,210,556,123,367,170,828,092,057,634,
918,320,345,099,362,067,998,034,504,732,234,604,738,511,184,529,424,628,446,
073,738,005,582,385,808,645,599,270,656,171,813,021,176,497,849,592,278,700,
089,940,702,115,051,870,649,766,607,835,541,907,036,390,726,354,087,928,047,
562,888,583,202,477,733,596,324,343,751,682,762,007,031,252,295,136,585,482,
323,231,384,482,272,493,189,150,802,271,771,001,646,329,310,965,735,750,671,
611,790,846,073,253,932,227,099,961,040,816,688,210,499,086,836,146,414,771,
040,530,598,037,391,123,803,566,776,452,690,413,005,336,056,066,279,805,897,
761,357,646,871,401,067,693,764,313,712,475,084,013,980,370,570,365,565,613,
659,905,123,360,391,937,301,424,594,965,202,411,833,946,729,188,983,790,000,
385,925,661,023,712,927,607,474,455,467,736,539,921,079,527,693,194,591,652,
789,416,877,261,225,199,412,001,167,860,176,247,974,718,002,041,340,949,731,
113,861,430,891,486,903,969,631,014,168,161,423,058,101,634,795,247,323,948,
703,239,544,628,256,550,245,028,957,592,674,174,808,885,977,730,274,343,739,
060,976,577,141,461,967,703,928,015,706,124,778,231,578,429,262,034,030,974,
659,532,131,797,110,365,582,269,640,781,575,253,953,395,917,011,922,783,987,
154,241,501,571,039,611,680,064,031,544,818,945,713,740,043,113,591,114,261,
443,996,179,683,621,041,666,435,334,171,918,045,694,416,719,986,089,666,093,
690,381,625,680,641,892,987,809,689,052,671,739,590,501,560,133,851,368,936,
407,823,132,544,031,906,666,525,293,324,258,806,792,125,304,347,708,100,465,
378,886,037,457,689,150,429,336,832,355,407,941,758,722,058,955,225,182,311,
868,600,159,506,809,564,465,582,204,600,340,758,017,897,191,540,816,409,887,
655,111,159,737,201,495,476,229,380,724,005,920,934,895,961,183,699,150,757,
479,963,954,985,351,309,266,407,892,880,225,341,586,811,499,127,699,905,695,
067,585,562,984,261,395,559,630,943,278,880,567,772,577,747,206,450,065,147,
760,269,707,359,713,164,474,468,324,695,071,777,516,174,541,900,750,268,913,
229,404,676,682,623,957,241,618,275,053,471,002,746,321,938,840,787,409,768,
052,047,295,181,280,365,998,253,718,011,094,710,592,338,792,218,876,769,971,
687,446,237,740,709,785,427,543,572,706,345,603,234,433,133,026,909,249,979,
472,779,167,661,407,409,850,324,413,122,528,497,474,104,911,413,149,811,789,
040,177,140,642,630,701,909,751,676,573,269,291,359,681,553,506,306,502,050,
638,573,376,127,211,316,518,924,539,736,420,513,872,978,424,069,228,429,599,
292,090,860,033,117,524,766,311,318,906,061,226,651,608,581,746,631,948,463,
239,592,918,530,737,210,350,662,636,595,214,503,809,144,357,625,398,802,033,
082,159,416,373,733,843,923,974,752,040,091,984,321,732,198,335,856,489,476,
273,943,419,079,398,331,390,350,941,423,815,770,791,823,144,258,066,373,309,
729,863,942,996,008,975,796,512,867,684,148,201,640,216,396,461,317,627,200,
159,708,443,972,938,405,316,345,797,794,672,773,100,770,155,539,598,773,893,
863,531,706,029,241,165,748,084,817,231,585,536,525,159,033,029,839,126,942,
388,131,381,570,787,838,755,953,614,931,690,702,133,227,180,756,796,653,116,
156,248,275,870,631,183,255,706,069,945,696,719,564,828,008,529,325,452,402,
677,892,279,199,631,516,595,981,443,135,456,744,803,544,239,980,604,421,016,
559,452,589,172,001,525,817,011,929,915,649,267,585,514,129,732,944,367,903,
208,082,178,834,897,944,905,767,638,052,373,376,992,158,578,666,376,108,621,
278,169,584,946,972,933,148,340,233,373,563,293,444,851,549,595,602,880,471,
779,348,010,766,986,682,716,616,201,743,698,092,152,457,609,592,531,591,439,
476,042,251,837,363,866,699,699,795,217,814,901,595,940,944,361,587,190,556,
631,343,755,123,709,777,602,393,133,925,735,829,290,061,811,822,202,163,638,
791,491,930,844,797,018,843,011,254,754,532,300,107,538,834,927,782,373,727,
808,549,334,365,277,905,322,162,019,297,794,669,936,034,211,904,933,690,958,
035,090,273,156,967,708,802,467,950,902,183,039,040,542,200,887,162,756,965,
727,627,040,318,700,881,720,409,688,015,033,708,468,338,534,032,730,393,049,
249,539,946,633,233,332,072,245,769,254,556,033,409,299,832,079,634,094,183,
268,855,989,045,026,653,142,511,831,178,632,726,037,040,178,998,078,376,669,
313,564,715,129,123,767,057,471,321,612,763,482,277,394,025,660,810,503,690,
952,144,060,283,826,995,634,407,150,195,930,383,265,985,957,058,863,424,309,
635,867,204,813,011,166,568,111,894,782,709,416,665,915,046,897,489,455,283,
672,066,250,831,077,784,990,264,544,736,146,433,916,395,260,149,013,355,290,
499,357,977,021,179,874,035,193,909,589,079,188,295,492,775,576,890,334,812,
318,356,220,904,580,965,847,898,549,086,472,339,302,087,343,584,359,098,150,
154,987,213,866,331,884,561,078,879,457,825,068,916,932,282,596,488,286,615,
043,091,886,121,897,078,684,740,849,132,451,828,475,160,970,809,626,959,905,
133,971,900,606,131,042,139,944,304,542,387,808,715,211,346,255,697,456,098,
719,424,747,170,989,029,707,250,802,702,518,390,908,075,211,937,675,600,519,
005,553,313,834,392,069,671,095,548,331,515,157,162,187,749,339,038,846,387,
974,596,893,990,403,553,343,240,257,470,335,751,699,238,550,880,915,218,766,
491,208,721,405,697,914,773,227,722,362,403,027,929,383,767,506,561,407,796,
091,645,059,311,987,577,710,091,409,557,096,919,758,538,151,712,088,227,544,
725,593,402,777,481,715,796,435,742,155,095,212,954,346,505,436,672,918,048,
417,646,865,517,133,479,009,718,166,309,296,847,020,473,827,482,051,305,900,
819,235,486,082,135,451,897,379,134,773,837,905,604,412,558,710,721,643,646,
916,624,737,876,052,464,861,374,229,271,442,922,138,836,188,977,262,721,100,
783,203,462,710,630,421,855,620,192,603,533,990,419,791,586,572,937,721,105,
504,748,563,546,735,829,212,366,476,809,633,988,138,302,740,721,327,227,213,
520,748,581,889,101,389,286,989,123,261,596,622,235,367,783,343,129,300,185,
304,108,059,432,873,897,903,943,360,675,143,952,512,266,209,912,976,575,404,
326,896,914,860,269,378,347,495,310,449,518,562,171,131,246,675,261,128,060,
691,651,980,346,385,074,900,921,585,991,951,145,443,758,119,412,911,655,444,
080,641,363,830,472,484,145,152,551,516,402,889,344,511,776,930,692,336,408,
495,072,499,062,824,123,930,024,553,867,783,180,708,811,009,229,552,087,820,
726,290,168,022,390,662,276,688,972,672,622,122,663,720,458,126,070,031,695,
772,560,388,902,686,005,161,554,985,173,696,315,125,816,677,109,444,246,092,
985,323,606,897,490,817,403,657,129,321,682,831,019,377,507,438,147,819,446,
040,688,558,834,953,765,885,416,607,653,879,503,837,675,846,844,686,122,378,
735,983,854,961,806,902,501,893,726,536,372,994,107,587,042,919,980,374,787,
893,362,909,625,175,954,034,772,953,479,275,541,742,449,084,425,173,484,549,
118,138,662,698,361,778,442,135,561,327,948,340,958,275,163,942,747,860,341,
266,904,230,252,534,403,236,845,272,705,367,913,804,048,944,832,000,339,428,
348,867,280,554,892,006,663,245,858,112,712,130,581,674,691,189,030,190,791,
000,511,867,866,760,447,286,480,103,126,907,847,455,771,326,961,445,949,632,
423,473,013,732,960,065,518,134,270,808,859,734,996,650,837,802,847,619,652,
501,659,371,680,507,313,146,011,555,037,057,125,114,811,313,337,335,694,173,
967,464,827,698,598,603,044,950,842,047,689,652,070,762,824,918,629,066,737,
897,244,881,686,428,792,083,402,295,480,773,344,298,494,092,850,223,641,950,
304,447,974,646,757,209,490,880,114,300,978,750,669,054,423,936,810,238,944,
161,080,030,164,187,500,966,086,810,944,910,501,794,029,403,658,507,464,191,
161,965,658,570,130,848,998,883,441,360,992,459,119,742,678,554,433,088,737,
212,994,887,778,079,116,850,485,278,829,002,041,788,138,384,378,534,628,130,
967,479,778,283,996,712,297,051,463,907,588,745,147,620,124,092,244,006,012,
747,013,148,867,304,972,415,392,367,508,650,726,220,602,850,621,221,625,215,
270,114,729,529,806,820,461,275,947,194,832,670,704,565,680,530,995,196,841,
644,696,359,997,720,702,681,565,507,038,411,909,959,240,730,238,101,047,933,
979,177,584,864,922,932,088,355,049,648,878,688,626,341,757,115,317,773,878,
227,847,600,074,176,849,346,272,244,611,268,917,926,470,424,749,858,262,683,
501,591,129,263,983,334,486,542,174,120,697,454,741,608,145,996,414,817,510,
607,463,693,871,832,296,703,211,045,974,653,046,904,270,079,609,956,139,586,
635,152,318,008,659,679,911,565,909,776,056,971,862,668,594,366,100,148,711,
275,514,115,413,080,949,574,235,435,217,412,452,523,951,064,712,671,326,803,
574,457,732,710,053,361,391,435,968,347,156,793,374,481,985,438,822,393,094,
123,580,927,142,228,983,509,780,628,613,702,940,246,734,680,795,395,374,118,
234,532,051,329,198,844,008,170,916,919,492,941,005,812,877,910,088,930,179,
360,318,536,009,385,333,902,398,119,451,637,168,577,783,757,602,015,715,901,
005,393,839,208,889,319,006,902,311,140,267,601,629,885,862,328,563,165,027,
642,006,575,700,973,055,770,208,778,045,478,529,215,962,815,707,480,249,280,
134,255,618,865,368,568,927,601,859,563,442,899,130,377,924,927,838,166,115,
008,931,753,913,075,726,646,973,600,304,846,298,401,517,608,978,536,186,962,
905,842,680,987,775,094,818,499,016,660,762,446,722,140,922,258,254,798,483,
003,526,653,853,099,542,661,643,951,421,638,865,996,175,212,361,767,853,613,
175,046,324,996,350,647,497,428,866,542,925,175,386,388,633,231,096,191,913,
568,268,287,670,813,380,894,743,964,334,507,257,370,161,202,576,196,829,297,
354,762,953,655,050,124,011,601,320,991,642,102,865,010,338,818,474,479,868,
456,686,723,185,156,914,433,149,613,733,860,145,048,752,615,800,282,569,243,
630,486,025,046,353,400,233,406,207,406,086,167,913,127,752,264,976,719,252,
178,408,174,295,942,377,140,011,739,460,012,409,549,903,539,508,557,251,566,
160,123,577,823,292,675,376,292,426,983,692,164,796,233,440,638,032,075,941,
907,579,761,979,318,802,504,502,142,216,049,626,688,309,489,237,007,405,850,
921,530,017,670,556,722,088,339,596,536,424,730,984,009,583,751,457,941,758,
721,439,677,660,880,361,809,976,286,566,397,921,923,352,968,164,489,775,623,
756,673,720,585,249,713,584,449,052,743,957,220,133,042,930,119,106,662,240,
529,614,746,104,666,003,345,968,880,475,731,896,776,362,075,744,062,943,889,
579,968,703,451,556,396,308,080,667,391,363,960,297,739,819,446,817,093,242,
410,927,065,452,771,044,701,777,642,590,984,158,809,445,468,116,926,408,505,
703,449,332,459,671,944,786,700,435,852,659,809,613,627,568,390,036,988,992,
776,633,402,448,667,877,386,622,631,071,691,034,175,301,207,580,298,669,654,
688,908,634,205,978,653,902,168,759,207,493,614,816,230,577,015,356,764,304,
445,662,849,963,086,219,357,244,078,595,252,643,304,831,570,833,018,408,340,
463,950,347,904,044,276,811,367,204,402,213,749,199,191,596,070,256,891,166,
373,843,529,376,231,478,614,448,653,308,372,333,420,573,817,043,535,623,408,
052,915,662,220,722,932,588,491,872,962,582,327,488,742,586,176,114,032,039,
022,076,795,204,109,419,569,658,347,255,149,728,133,570,501,523,042,183,010,
417,181,365,406,344,243,950,238,205,941,958,840,076,012,487,245,264,587,000,
870,572,171,165,466,507,231,876,419,462,805,111,696,749,787,277,208,415,356,
437,527,684,992,770,628,021,618,072,791,629,424,114,577,469,060,209,854,235,
562,406,247,841,669,638,086,556,280,039,964,734,241,730,564,814,057,165,105,
662,039,897,521,872,996,126,161,843,277,002,241,601,427,248,761,358,692,020,
118,858,166,783,210,917,044,983,459,972,443,549,376,777,492,656,281,438,492,
062,451,608,675,473,658,692,345,622,734,052,679,790,027,274,473,154,433,843,
627,162,568,820,142,525,240,203,636,222,348,942,118,890,840,142,374,968,281,
237,859,084,477,924,135,886,437,703,069,200,706,318,986,759,979,508,816,521,
434,360,634,395,005,293,176,621,028,814,915,860,743,011,882,749,803,039,961,
814,914,962,747,710,037,698,595,772,504,201,285,128,333,907,419,433,733,148,
318,457,346,553,924,345,673,579,333,038,653,411,139,415,815,476,098,896,286,
341,093,413,872,304,313,259,433,105,494,315,404,393,078,425,397,203,715,841,
614,435,884,605,669,754,824,216,750,140,608,283,730,274,129,869,206,627,027,
204,746,713,401,600,498,870,056,200,277,173,960,376,606,787,073,701,028,567,
312,498,329,348,501,617,818,817,842,983,073,849,745,854,649,836,853,272,529,
927,325,729,169,266,096,533,970,810,478,328,543,401,668,497,202,678,036,629,
827,862,611,554,500,363,358,641,548,483,552,062,478,227,289,770,658,641,884,
654,046,525,616,824,764,426,979,416,728,644,511,963,354,248,846,747,939,965,
084,809,291,555,555,044,083,274,779,629,152,675,788,644,891,316,162,063,871,
333,205,368,932,663,633,020,737,892,644,590,608,574,978,555,920,597,292,922,
572,471,133,137,687,328,058,998,440,321,235,362,573,206,038,795,200,898,162,
779,959,777,283,525,827,791,961,422,290,696,148,310,061,243,059,913,001,649,
863,751,018,480,601,359,621,990,564,000,718,184,153,589,228,435,143,317,596,
759,645,282,483,499,678,068,709,893,828,235,919,670,135,624,216,559,723,604,
595,250,011,822,381,796,821,442,749,844,837,635,396,796,472,576,346,079,597,
598,740,273,783,716,687,714,245,185,732,249,681,228,087,069,568,431,443,824,
642,904,036,878,550,660,744,279,884,494,304,687,921,203,191,361,760,885,520,
475,385,217,896,264,524,507,747,929,388,300,103,949,333,469,297,368,714,878,
045,283,285,996,042,226,652,038,329,130,464,616,675,762,330,504,083,221,541,
312,566,556,719,732,645,649,665,280,766,215,303,210,384,901,263,306,714,063,
267,619,169,201,830,533,554,397,873,324,963,799,402,172,635,506,599,492,458,
855,618,591,381,115,856,294,523,318,122,839,823,805,939,912,053,858,253,742,
214,995,879,819,589,176,454,030,374,255,173,134,034,398,635,796,239,407,783,
165,499,844,605,010,078,271,317,040,369,727,814,225,330,127,847,817,045,388,
040,508,239,691,456,921,363,420,668,968,346,164,356,407,319,807,511,869,632,
863,612,394,870,398,949,611,223,422,946,264,964,261,807,253,321,650,085,621,
498,991,278,187,569,491,535,068,596,101,881,558,208,386,639,656,587,549,620,
990,790,884,754,708,343,013,173,465,210,396,306,978,337,995,302,788,094,012,
816,601,371,601,578,262,024,603,220,601,135,041,481,200,951,873,485,642,648,
481,463,125,254,036,394,723,368,155,830,558,288,849,881,920,042,163,868,391,
039,211,856,475,122,995,182,771,507,296,677,930,815,791,616,791,405,973,904,
373,379,122,067,143,737,492,115,792,087,293,390,864,041,309,806,530,479,376,
900,168,698,481,819,354,334,811,232,890,448,706,361,174,157,605,376,506,561,
584,728,969,520,588,260,387,114,765,295,960,104,980,268,540,325,208,781,550,
433,096,323,325,613,243,252,566,753,484,959,934,398,256,902,439,748,756,673,
210,111,933,494,738,344,402,747,379,134,224,236,319,509,153,723,837,748,629,
970,498,656,941,053,078,319,942,686,991,093,236,486,246,729,763,699,098,248,
125,925,932,498,903,892,694,322,116,338,234,332,210,907,254,108,774,495,271,
947,990,163,912,411,592,983,211,711,469,300,047,061,419,619,901,879,253,328,
656,389,411,070,736,361,949,996,809,681,197,185,603,667,641,230,721,658,564,
014,591,997,065,608,234,146,798,944,264,652,373,447,151,350,897,651,926,409,
137,897,098,571,962,901,230,634,602,358,384,610,298,634,797,310,735,039,098,
036,329,518,769,539,991,231,669,934,869,189,810,012,439,663,007,774,018,443,
492,329,593,763,802,340,914,294,292,930,639,427,188,959,924,464,392,590,625,
519,412,514,973,246,740,669,649,801,268,161,319,399,002,503,251,274,021,859,
591,384,055,890,215,310,412,531,657,759,225,930,473,735,569,218,724,043,847,
593,841,076,347,353,769,640,537,244,423,445,724,626,742,676,023,361,200,224,
244,933,960,694,896,238,674,098,671,501,989,763,446,211,833,470,237,157,132,
154,443,090,135,890,298,129,980,907,014,461,103,674,704,439,716,341,116,253,
700,502,104,870,033,770,136,824,957,471,412,066,237,460,407,494,877,700,149,
711,321,864,576,335,089,788,105,830,258,872,232,475,578,290,794,970,223,194,
911,450,509,350,214,721,653,073,172,734,751,753,988,881,297,559,214,753,228,
215,650,025,693,043,974,754,113,962,669,398,038,020,382,897,642,835,668,335,
050,760,518,570,068,632,069,415,441,452,820,369,171,152,493,155,881,913,787,
519,439,577,018,053,083,478,336,669,168,605,058,381,105,092,231,865,231,044,
254,264,741,128,490,770,146,666,111,720,921,482,113,637,229,901,758,097,237,
446,745,131,067,812,286,262,069,516,514,696,310,291,257,401,372,675,163,873,
851,917,231,474,098,229,783,201,067,605,041,935,044,654,330,705,002,823,635,
332,763,727,931,664,046,310,038,639,620,115,409,210,195,212,300,708,374,499,
839,000,719,864,229,847,303,886,988,173,213,896,017,035,670,742,739,591,139,
694,741,695,551,150,298,247,193,331,641,620,098,975,749,860,050,949,601,110,
853,433,233,849,077,240,051,979,172,758,345,679,627,172,144,351,878,103,682,
252,799,147,853,457,043,066,395,420,003,488,955,017,767,630,533,672,104,415,
030,848,597,534,377,241,720,580,973,317,316,677,041,475,411,742,487,557,707,
308,263,795,475,936,035,407,547,396,881,489,349,088,401,502,230,887,549,937,
878,286,326,970,678,623,688,979,307,000,897,767,397,938,329,141,362,612,140,
740,004,394,593,988,272,165,834,092,921,041,137,510,517,475,426,856,692,571,
304,014,957,619,420,834,836,237,252,012,023,156,407,976,877,911,775,399,398,
198,673,487,210,345,467,940,206,185,340,105,850,032,101,282,933,799,058,530,
689,519,792,370,612,389,506,627,186,332,275,093,921,926,616,829,124,754,319,
611,592,837,983,738,716,363,054,783,593,446,756,635,256,994,556,191,303,515,
983,355,499,905,997,030,267,657,502,298,307,641,547,802,096,719,358,551,271,
889,508,502,110,094,050,241,593,820,331,895,458,906,243,898,367,842,463,630,
982,711,701,413,236,233,534,095,779,323,303,944,186,010,879,465,533,694,128,
953,998,758,241,925,643,656,381,980,725,159,642,194,021,912,856,693,202,844,
655,310,452,642,818,808,864,301,477,918,941,952,636,649,083,524,330,149,140,
740,775,391,895,346,528,261,859,968,908,337,251,860,378,047,381,646,262,130,
650,814,959,093,089,261,400,552,080,968,815,405,364,926,653,425,934,998,455,
046,182,063,454,575,680,437,786,143,744,320,631,684,865,533,484,378,115,901,
025,456,994,088,996,701,708,499,014,246,350,344,820,104,836,697,037,600,362,
290,161,914,208,824,387,840,516,430,277,910,783,257,364,395,034,771,297,382,
772,749,856,237,572,081,429,032,062,558,366,583,080,699,688,831,625,848,700,
970,974,597,081,588,365,431,577,145,162,862,331,170,057,406,536,565,268,042,
543,655,734,165,930,058,090,842,704,989,666,870,089,274,714,086,169,109,788,
007,367,702,086,531,316,109,926,761,675,251,103,470,848,165,540,667,329,322,
183,742,693,829,685,668,341,706,046,289,907,810,958,247,666,357,078,833,817,
118,072,784,458,563,127,196,784,527,973,930,051,587,725,842,733,116,209,575,
455,129,557,846,939,132,039,534,590,706,239,301,715,176,017,657,916,544,030,
081,404,008,286,569,992,457,789,442,882,134,947,201,030,437,094,685,636,438,
382,299,996,723,834,086,269,478,158,895,380,073,547,545,878,976,431,867,097,
891,943,451,527,061,360,890,027,044,121,589,732,748,054,451,554,693,481,497,
604,401,496,994,732,289,533,563,150,405,714,527,090,332,775,434,481,467,513,
689,491,477,109,652,947,877,494,304,813,069,807,413,753,199,545,757,796,983,
008,051,620,705,061,473,001,679,466,070,187,144,250,700,553,810,435,140,037,
316,455,104,074,263,392,444,178,815,275,461,348,470,067,985,975,763,619,254,
120,077,025,033,812,398,538,549,367,331,766,657,921,596,880,080,610,056,174,
740,539,598,378,085,597,650,107,254,619,242,241,020,099,157,753,595,584,143,
205,597,643,986,414,150,625,485,991,193,739,460,449,101,935,533,113,114,768,
845,955,585,272,654,584,533,630,161,282,300,404,368,086,640,020,181,347,918,
547,554,145,697,465,409,212,671,124,512,352,088,658,854,313,305,731,720,074,
397,972,430,320,894,172,223,050,482,807,514,885,061,734,497,760,214,809,589,
454,394,539,048,391,938,056,328,457,810,891,264,737,953,973,776,073,854,802,
543,268,880,489,745,877,781,078,178,117,994,349,290,505,554,167,025,385,554,
488,642,778,629,401,903,856,730,011,470,164,624,889,831,216,727,582,031,102,
855,090,356,333,136,640,046,982,030,914,442,815,179,016,549,884,705,965,470,
436,566,490,303,313,751,570,974,030,985,314,640,038,577,376,711,716,982,659,
803,556,837,434,275,028,862,958,080,601,294,395,938,582,602,822,151,135,724,
825,247,121,939,960,451,059,260,337,717,970,255,150,417,906,433,313,513,687,
113,662,945,638,940,028,169,992,511,336,590,419,913,039,344,214,793,505,931,
048,347,527,409,314,305,696,950,572,650,566,866,511,044,457,757,443,024,096,
902,178,735,968,866,888,729,922,106,711,618,769,225,984,875,837,110,696,820,
516,248,656,626,517,846,276,298,877,233,810,033,301,057,781,001,343,363,187,
900,493,563,065,326,071,524,550,244,607,614,962,152,291,630,584,291,720,251,
905,381,393,707,498,004,369,247,708,099,819,721,954,004,504,870,479,487,670,
818,717,659,674,917,067,007,983,263,376,532,421,693,438,306,759,208,416,077,
649,287,747,601,578,174,806,797,537,962,062,879,084,192,565,928,614,030,227,
929,638,451,171,385,277,038,786,338,338,343,226,045,090,431,550,419,096,121,
764,589,309,781,821,028,777,557,500,662,829,251,520,954,213,111,060,811,641,
245,835,872,608,112,337,949,477,855,497,629,375,076,509,240,746,944,838,503,
037,972,851,737,391,711,611,888,679,316,475,241,100,308,912,518,956,775,800,
457,809,643,609,706,053,538,798,810,505,974,307,223,236,823,711,179,195,689,
540,120,130,671,407,191,984,070,609,717,792,021,648,964,151,682,526,235,142,
123,133,794,729,357,697,896,872,773,424,688,824,372,664,304,942,254,462,695,
894,665,408,344,233,854,262,044,477,420,519,451,768,844,339,881,211,643,254,
802,706,904,173,582,721,313,863,674,203,761,301,091,158,488,611,256,145,229,
181,896,089,026,071,506,992,316,005,546,111,118,852,480,372,336,736,428,804,
003,365,534,869,622,467,616,929,956,381,309,244,775,506,363,613,166,853,566,
518,391,219,599,093,252,449,233,059,219,929,334,884,383,215,232,855,816,492,
158,655,576,765,713,489,569,008,138,300,670,188,303,125,953,379,473,864,283,
534,270,301,475,215,186,916,757,744,435,661,949,695,022,383,877,630,432,770,
543,207,610,699,697,793,740,461,193,742,788,898,154,876,503,621,818,571,290,
474,399,904,672,925,754,795,464,406,886,417,509,486,522,604,123,209,542,977,
809,450,783,348,601,522,428,382,047,528,878,914,447,455,286,787,172,114,384,
551,919,279,107,117,269,885,178,119,373,189,084,997,826,238,795,866,223,566,
299,257,412,998,496,545,012,123,451,374,080,079,393,924,045,794,978,193,976,
940,851,198,094,374,435,520,419,469,364,446,396,331,697,716,231,824,659,942,
271,435,961,383,983,737,777,997,750,345,838,684,393,687,933,712,605,211,881,
961,218,596,176,085,172,015,296,604,216,543,988,810,992,097,998,273,895,447,
295,959,531,747,400,268,758,579,810,814,319,418,805,668,562,866,655,419,484,
163,900,676,828,403,611,873,505,505,643,687,620,016,134,100,158,862,639,275,
505,189,051,809,261,526,995,643,838,470,263,098,820,007,344,921,816,203,235,
560,231,343,581,118,526,094,736,715,974,252,376,080,199,635,207,544,881,628,
994,082,180,926,087,622,840,340,972,798,315,352,924,024,763,081,270,431,851,
111,772,434,837,455,299,842,955,380,848,660,870,624,891,511,740,251,827,592,
971,519,086,744,111,836,192,176,866,704,217,760,294,133,785,997,911,377,996,
571,886,112,698,824,056,597,981,510,401,520,729,225,956,292,252,027,205,606,
607,355,420,613,074,613,931,487,272,064,165,494,295,136,142,359,189,333,862,
620,886,794,751,861,763,393,337,353,402,739,096,545,353,866,932,621,101,820,
546,337,143,313,613,258,713,498,021,575,092,041,124,384,745,217,050,794,682,
205,196,883,879,976,864,190,564,753,591,733,210,618,636,807,163,617,512,940,
526,355,178,724,941,245,000,469,707,915,341,509,727,160,321,122,293,549,905,
747,110,758,228,491,087,064,410,254,515,396,693,607,776,936,336,487,050,558,
675,104,145,273,321,632,397,745,051,670,414,720,860,929,733,506,421,618,871,
677,410,070,250,680,540,191,059,771,757,977,681,454,338,093,555,845,467,583,
513,022,524,531,608,757,551,656,419,982,355,696,928,472,897,277,478,021,133,
562,553,606,356,381,248,793,594,774,840,690,442,028,542,540,164,454,137,603,
259,963,467,740,908,780,853,081,505,757,874,706,813,338,660,187,941,861,292,
359,001,106,962,779,460,607,853,976,276,812,355,645,703,717,761,822,055,488,
500,319,780,995,537,093,322,324,239,188,639,214,998,044,224,312,705,986,501,
448,839,368,225,911,382,261,195,026,222,514,562,793,284,444,821,063,193,048,
476,214,540,927,055,917,421,661,533,473,278,897,439,104,070,670,772,106,751,
613,250,692,470,235,001,238,968,334,630,123,432,371,844,567,032,716,549,936,
320,635,193,694,070,081,127,506,173,511,216,313,672,155,670,080,667,230,003,
858,528,853,559,904,751,071,753,262,104,085,461,407,069,488,004,093,211,026,
275,586,307,305,851,977,091,396,353,811,009,726,134,588,219,992,582,749,305,
515,680,691,868,816,604,819,807,348,103,694,335,017,532,116,721,519,167,312,
297,268,991,227,751,621,345,717,222,350,448,432,979,782,585,097,880,694,016,
636,938,020,280,647,625,192,409,378,410,397,170,097,721,437,551,386,906,155,
236,855,021,968,693,436,399,801,205,693,361,823,507,286,334,810,667,235,853,
740,443,362,336,377,209,940,135,993,880,845,453,616,895,661,008,707,525,263,
594,209,451,103,607,817,841,498,446,901,525,068,453,063,553,739,070,088,445,
548,007,324,016,643,972,487,899,818,640,442,402,603,941,487,216,537,247,974,
609,650,549,625,080,296,618,991,461,767,825,419,085,222,068,462,097,923,745,
351,506,888,132,576,531,876,752,292,404,739,682,988,861,596,099,997,012,530,
899,266,980,334,216,780,741,649,915,708,669,075,666,920,915,603,480,043,050,
041,724,628,417,310,639,388,948,733,539,130,205,210,781,898,429,876,254,232,
193,935,258,610,374,049,536,747,055,352,570,720,547,156,640,011,784,038,772,
768,851,374,094,923,066,523,338,471,972,351,849,458,960,389,085,783,925,839,
195,314,754,824,610,485,193,586,502,054,351,308,512,027,235,538,635,548,832,
643,357,559,991,160,608,102,278,820,430,572,743,911,663,806,685,274,434,568,
162,359,133,725,971,385,551,823,534,958,405,837,923,914,478,356,032,557,648,
184,959,355,902,898,968,311,264,650,686,141,276,022,619,791,050,709,655,939,
726,811,367,303,445,726,756,931,223,995,694,693,403,485,986,917,898,868,408,
282,537,010,929,366,201,175,588,195,344,384,658,498,976,984,602,533,080,449,
904,499,978,081,564,366,099,296,316,335,318,038,912,213,461,563,750,341,074,
735,978,680,909,964,018,271,274,880,792,165,135,599,370,225,347,603,137,299,
523,782,507,258,356,364,416,197,657,460,452,767,450,673,108,893,368,050,821,
990,457,007,844,099,488,729,379,858,092,926,693,279,011,212,886,149,846,422,
575,966,976,055,089,053,211,664,116,932,157,719,557,849,453,406,542,537,824,
353,150,827,163,397,384,066,563,468,335,437,345,675,086,314,822,572,005,131,
147,941,575,737,697,695,160,304,909,315,359,433,162,562,519,933,415,478,480,
024,584,347,526,153,393,078,267,929,369,076,129,258,159,721,298,118,687,155,
867,690,705,964,775,692,359,280,404,977,460,211,613,692,581,528,138,527,139,
361,337,143,586,951,785,057,483,665,559,363,288,303,364,396,847,358,644,188,
000,795,161,114,380,830,995,665,030,449,760,440,365,839,900,484,037,445,160,
812,850,524,075,013,654,314,311,375,927,373,402,574,937,579,092,221,260,497,
196,949,829,724,385,470,014,139,852,498,962,739,019,215,013,202,086,692,403,
815,156,578,492,781,257,082,773,793,340,343,003,189,336,672,509,842,824,817,
582,886,355,576,069,506,888,082,379,322,554,615,456,717,808,456,888,902,699,
696,070,678,945,563,662,191,290,108,889,195,320,397,776,001,709,881,107,355,
589,167,715,762,478,341,284,299,446,106,432,476,852,634,074,183,341,620,050,
390,583,416,666,658,206,635,335,844,311,845,135,785,086,983,547,978,960,647,
790,290,897,356,638,799,021,049,628,172,221,558,252,104,663,198,315,602,000,
938,164,590,542,288,997,542,672,235,283,055,676,372,767,688,166,601,255,334,
074,565,063,252,925,699,973,799,651,745,524,027,500,171,253,056,846,127,687,
450,049,166,767,736,490,582,592,440,355,885,498,795,474,513,039,635,344,942,
319,866,895,304,269,218,344,866,698,579,524,377,316,890,063,858,634,910,067,
322,887,007,538,692,902,561,676,574,985,182,857,205,326,272,780,258,243,756,
546,808,784,712,631,436,108,657,825,346,202,987,641,263,201,884,342,681,866,
994,993,955,320,438,928,235,151,591,605,333,828,421,580,558,952,022,116,307,
606,578,330,561,359,933,231,536,857,893,238,192,224,454,614,833,466,406,676,
183,212,044,130,198,010,089,364,806,356,883,269,167,982,183,412,311,592,984,
491,919,054,356,656,673,802,729,226,934,910,636,609,993,169,929,752,062,532,
061,639,025,808,133,910,704,935,119,237,336,824,118,265,257,870,697,234,209,
557,130,978,401,217,493,422,799,006,495,413,955,767,927,113,221,736,474,281,
412,629,447,351,374,525,292,416,591,739,656,742,777,087,275,794,511,175,443,
763,340,271,572,765,614,659,799,144,933,289,172,328,904,769,074,479,175,717,
788,488,502,478,284,502,942,051,654,449,891,658,995,926,199,218,231,606,127,
515,165,660,849,415,007,876,697,813,466,162,244,050,426,588,069,400,756,977,
017,329,159,305,287,900,683,465,614,273,538,720,920,712,626,706,515,749,476,
107,769,097,301,788,281,083,667,156,530,867,117,300,109,102,245,467,051,153,
085,495,925,129,923,824,132,093,658,961,315,444,859,228,377,699,529,799,425,
367,391,762,921,603,803,669,942,541,360,891,059,218,027,036,010,272,498,269,
762,443,535,363,305,404,034,349,026,260,721,923,133,438,975,596,310,953,324,
018,847,497,210,924,877,475,893,962,037,582,299,417,028,716,171,025,488,790,
476,606,991,849,563,944,338,974,042,793,989,831,016,593,449,897,105,585,461,
396,868,993,170,407,675,798,861,778,459,758,693,559,992,836,743,694,275,097,
523,248,796,181,005,279,471,393,281,026,456,672,591,209,523,170,977,925,667,
523,231,309,923,770,066,870,021,674,993,989,272,546,034,548,081,320,915,180,
653,432,484,075,705,532,731,298,998,302,794,070,747,275,356,656,817,191,149,
174,074,220,372,933,364,158,359,170,337,153,299,572,430,850,187,275,199,884,
494,065,082,001,590,469,163,474,010,710,358,641,159,390,233,296,545,744,206,
594,324,000,765,766,627,082,071,387,106,869,387,948,609,014,061,360,067,971,
676,257,623,203,886,589,610,619,986,437,314,899,675,024,255,305,247,658,193,
203,438,210,881,021,619,376,892,406,058,309,843,994,421,800,956,818,063,587,
126,463,855,990,736,165,359,302,961,171,319,971,095,860,989,081,201,424,134,
981,536,852,924,994,761,091,554,875,472,441,751,300,808,698,239,552,246,552,
748,083,026,141,708,037,397,464,560,941,292,151,149,219,952,990,566,444,957,
150,701,589,026,629,489,529,665,835,597,226,844,691,935,920,985,416,261,244,
146,366,127,673,462,401,201,741,891,401,491,225,619,533,464,188,303,717,312,
111,820,969,458,909,582,436,824,315,612,215,898,973,754,650,549,314,839,056,
486,296,115,133,094,778,656,572,905,665,751,661,051,734,633,279,864,314,661,
555,415,510,795,173,063,518,145,412,787,956,333,395,147,448,395,822,119,779,
555,408,122,455,546,863,932,878,900,399,862,328,775,364,553,985,511,039,747,
636,331,004,978,699,300,835,600,664,947,852,628,850,097,997,726,701,692,654,
886,735,243,216,366,814,467,170,124,359,652,286,491,756,085,957,953,218,317,
835,028,545,308,333,387,358,535,834,451,082,738,309,114,687,744,070,719,212,
509,322,810,653,881,778,608,623,890,710,311,347,708,176,798,334,484,085,817,
846,722,386,586,438,061,852,779,508,763,435,045,657,267,192,624,404,619,616,
929,149,588,537,035,979,524,989,849,527,809,431,950,024,054,274,973,677,658,
321,016,290,069,998,824,177,546,245,987,939,651,883,325,680,829,610,290,205,
000,330,321,503,369,113,591,933,879,812,826,969,647,005,748,660,711,582,522,
328,095,665,430,858,241,595,148,573,250,600,881,899,624,992,683,429,388,740,
600,716,615,402,249,676,979,604,875,950,672,033,290,529,401,261,933,860,353,
150,580,238,673,186,632,499,971,429,522,555,601,161,794,774,476,848,856,624,
309,983,368,689,431,997,818,540,003,513,181,838,373,617,469,202,133,811,560,
195,879,926,274,766,217,964,773,495,946,479,228,909,460,499,259,690,837,793,
504,051,236,322,894,844,004,305,970,620,598,862,085,895,568,338,762,058,426,
936,771,946,818,294,002,686,809,674,312,253,944,269,387,029,906,824,482,314,
531,928,366,925,673,804,730,354,841,169,560,230,218,316,740,329,746,072,198,
523,425,087,736,978,121,661,172,443,684,792,215,955,909,404,185,185,321,105,
702,567,577,004,219,192,319,276,142,212,587,773,458,854,613,057,122,494,262,
449,677,853,958,300,364,793,993,476,861,116,024,812,196,744,734,690,061,248,
343,452,589,217,551,363,692,868,433,131,291,173,687,336,134,138,629,616,916,
173,888,539,368,906,700,830,418,442,960,703,238,855,519,078,809,373,492,746,
438,307,499,509,506,942,751,925,991,705,160,085,605,222,715,530,776,881,387,
066,128,790,440,347,382,027,834,559,846,674,304,720,658,831,047,545,541,272,
261,904,480,911,528,763,867,129,040,633,996,352,025,824,646,166,667,109,926,
467,719,803,993,473,264,221,948,628,990,703,956,451,482,867,919,248,838,766,
783,535,233,502,214,164,790,940,234,508,358,959,615,586,700,342,737,834,891,
807,175,922,379,513,563,413,256,246,383,139,800,966,632,622,428,596,750,137,
933,247,421,137,139,846,659,388,928,484,640,929,663,083,414,166,173,682,279,
664,849,603,382,235,279,846,537,486,886,652,590,697,960,467,455,126,302,314,
667,288,477,681,778,316,749,320,108,062,893,806,788,118,927,136,106,493,228,
121,412,352,747,947,442,800,210,128,522,918,100,527,235,765,141,251,128,164,
749,311,217,139,869,953,315,725,202,616,815,529,974,798,182,340,719,425,038,
318,959,416,800,219,468,091,981,730,303,524,406,866,516,303,572,338,497,855,
912,238,645,779,716,777,971,400,011,965,100,532,127,307,265,142,476,570,340,
878,124,527,208,998,534,719,738,575,888,482,522,773,620,313,965,176,257,633,
154,982,438,109,386,509,395,313,675,012,804,894,196,788,439,451,846,838,606,
564,606,468,520,727,569,863,094,881,257,106,912,390,003,180,829,840,791,874,
221,870,728,065,218,711,048,829,038,328,673,001,395,621,422,538,669,717,131,
801,723,936,165,161,086,165,082,543,378,417,304,244,318,377,096,739,572,351,
941,783,366,707,939,469,549,613,077,318,866,142,870,059,514,040,073,375,405,
668,805,427,100,957,138,354,362,282,588,893,135,331,924,548,600,533,391,018,
350,681,736,870,296,437,352,187,696,361,034,408,674,769,086,940,448,061,201,
584,697,919,174,824,582,043,330,379,947,763,475,764,609,595,742,982,101,918,
175,113,014,563,720,006,876,615,665,789,442,101,199,337,967,957,562,421,250,
998,590,447,244,853,294,629,717,600,829,582,167,367,498,511,612,522,009,739,
509,819,870,573,289,873,701,626,394,485,750,120,866,699,803,949,738,311,103,
388,911,926,722,767,587,434,332,100,678,745,940,943,519,496,333,377,548,251,
322,042,061,079,754,488,898,143,719,910,743,745,938,928,455,925,836,119,024,
827,127,449,082,451,874,824,335,956,374,165,259,861,261,353,907,146,826,292,
603,791,782,014,599,916,147,020,238,573,663,894,544,451,016,192,669,420,177,
564,008,451,097,060,068,579,275,478,872,938,520,343,900,873,739,908,846,865,
835,111,801,517,382,580,143,874,611,648,350,126,157,297,569,414,188,250,381,
636,982,199,537,846,809,501,042,354,280,056,688,572,913,979,527,758,964,009,
470,171,347,530,131,118,436,195,657,631,503,003,040,852,972,532,103,077,276,
368,122,546,084,040,567,800,036,277,474,437,642,368,259,746,402,754,059,405,
676,256,550,908,924,540,446,556,580,155,355,651,472,118,202,147,280,796,800,
436,771,674,591,049,616,044,153,230,473,389,824,308,590,840,247,719,960,114,
362,714,523,396,152,740,909,902,006,471,830,190,139,566,455,218,838,283,447,
543,095,424,676,636,106,030,348,738,654,248,695,857,294,206,818,018,524,736,
047,277,988,840,871,818,491,534,564,593,710,285,251,244,544,987,811,554,593,
942,160,243,990,450,107,440,459,945,778,732,854,158,164,271,220,754,715,236,
236,626,232,264,851,625,091,290,330,198,629,342,074,676,962,852,340,227,370,
466,275,057,941,479,978,439,626,227,191,325,227,970,191,108,836,889,403,109,
521,934,025,851,994,929,427,803,974,359,841,838,312,514,283,358,043,267,921,
402,708,276,238,116,077,800,421,103,786,268,204,725,642,378,241,701,785,162,
921,519,527,052,814,035,992,624,923,175,096,926,694,714,827,809,140,687,768,
163,007,618,878,455,867,096,833,787,960,544,769,593,717,586,117,414,302,633,
169,689,139,817,531,223,313,884,815,972,523,544,734,973,863,539,277,628,035,
356,649,101,653,397,332,123,472,737,619,817,751,358,621,277,786,483,505,386,
836,967,721,962,198,353,171,029,350,978,183,618,978,571,602,592,110,810,315,
634,201,329,222,333,087,482,978,065,816,041,860,166,222,376,732,309,092,268,
419,046,857,442,687,101,712,314,620,671,412,125,742,491,935,268,856,642,094,
639,696,944,707,275,953,135,324,498,464,583,674,673,279,115,637,688,556,641,
053,728,628,571,784,149,020,795,618,503,313,488,888,941,189,501,750,943,742,
721,974,004,033,993,385,989,597,193,005,816,467,322,496,525,564,710,605,241,
342,359,754,003,060,680,965,870,711,003,074,441,652,037,780,931,911,945,916,
970,197,173,564,229,570,842,559,473,264,759,248,561,314,027,968,430,263,361,
843,558,427,031,546,757,787,330,087,976,851,706,033,430,494,057,483,386,075,
257,156,032,982,406,273,055,356,221,969,513,115,686,205,785,417,649,697,363,
523,666,285,772,056,780,526,434,663,362,361,804,277,123,973,556,662,985,334,
556,232,162,980,840,625,833,571,235,862,443,903,362,468,337,657,866,753,531,
033,939,777,390,523,312,156,952,428,442,192,586,312,532,115,709,085,107,485,
848,539,096,670,085,801,040,398,941,267,170,579,905,645,672,437,726,328,797,
891,863,716,138,004,585,513,029,532,647,444,327,707,770,445,765,387,250,928,
001,378,967,226,144,834,018,724,465,059,606,999,276,106,177,362,024,372,780,
495,797,279,936,597,478,736,261,129,589,938,681,716,342,170,884,206,753,307,
618,338,110,745,247,111,882,954,366,546,033,881,073,679,572,112,101,097,250,
348,516,190,267,602,986,516,687,607,606,869,763,030,288,823,617,376,973,898,
690,666,913,582,887,053,886,195,992,770,512,699,606,834,542,518,074,489,443,
807,787,108,621,993,376,535,280,577,170,751,800,688,580,839,316,066,273,106,
688,550,853,096,734,115,203,443,656,826,419,660,837,475,308,392,540,219,157,
788,897,784,225,969,263,633,228,263,744,147,552,034,903,639,754,136,690,440,
980,562,362,095,707,914,136,016,925,228,693,523,918,505,471,748,814,781,382,
513,106,067,370,241,559,628,399,249,451,222,309,627,984,617,853,097,097,073,
530,503,728,538,109,989,326,129,554,343,701,255,383,250,586,517,261,538,609,
878,973,681,829,861,124,398,555,322,078,021,327,937,906,407,900,970,012,708,
695,785,370,036,105,610,228,879,718,808,288,503,085,442,157,595,474,924,470,
150,366,628,452,507,432,207,904,019,403,505,544,933,221,424,178,358,776,844,
190,982,178,620,068,067,298,218,380,557,968,602,254,655,350,167,145,255,726,
222,223,845,824,593,127,712,014,772,610,557,672,209,939,090,190,799,065,678,
162,396,529,362,979,147,934,361,550,252,672,209,029,217,423,810,629,732,373,
448,274,726,576,293,214,470,552,183,126,690,210,155,736,359,489,174,921,961,
029,133,709,312,136,029,810,514,632,854,511,354,657,246,775,775,921,860,877,
597,142,575,908,148,736,228,300,775,034,842,514,119,335,107,333,367,059,224,
380,716,384,145,971,881,720,159,481,927,369,281,830,235,169,741,104,597,000,
007,037,306,671,741,011,753,994,791,042,347,401,906,436,478,948,756,972,928,
219,390,301,650,923,142,427,642,804,255,874,587,056,895,337,531,515,927,231,
278,545,269,927,270,790,552,882,046,402,161,555,214,085,739,735,237,905,506,
689,275,964,232,323,140,213,946,447,140,375,845,592,084,433,297,927,719,129,
391,763,774,732,261,909,277,450,729,293,364,461,286,800,630,713,514,150,472,
269,555,305,899,183,467,058,126,236,162,021,989,084,480,328,521,923,570,711,
446,335,946,720,561,982,227,443,806,591,234,090,709,466,258,902,791,532,831,
008,478,222,202,789,934,741,929,678,610,245,652,030,220,520,888,357,313,233,
248,783,146,889,494,325,649,289,778,395,176,543,411,113,414,548,808,923,151,
764,601,137,371,758,641,575,531,945,229,129,303,611,289,878,153,076,071,971,
694,496,809,026,978,771,483,794,557,813,186,406,725,213,537,981,190,494,496,
699,118,893,003,392,552,043,176,114,332,595,609,291,655,862,900,089,986,364,
746,394,543,104,786,320,449,406,520,367,865,639,590,463,827,114,019,823,205,
503,814,870,667,313,807,533,748,952,580,679,072,421,175,501,047,757,248,833,
006,315,660,382,388,721,484,267,187,622,969,979,331,722,125,138,083,882,010,
381,863,066,614,684,012,559,044,087,799,465,762,265,091,073,884,629,301,007,
111,381,737,474,412,699,942,018,456,827,400,362,985,007,271,267,345,073,059,
100,933,235,087,368,828,887,548,913,399,929,675,489,724,295,682,271,024,139,
020,691,271,173,742,874,967,792,855,487,644,690,405,827,329,192,995,859,098,
603,144,550,645,810,276,918,211,911,730,625,471,529,101,772,503,663,864,818,
689,710,926,378,869,128,594,089,101,905,867,307,734,232,469,806,501,735,376,
982,812,512,199,115,897,548,555,452,075,398,339,720,836,458,276,278,313,642,
931,817,005,387,688,969,214,824,154,307,129,356,648,971,910,575,140,369,949,
043,212,143,731,693,309,821,206,733,488,544,045,393,318,547,282,317,639,705,
900,505,527,613,838,432,937,688,479,473,282,017,569,961,829,339,365,887,911,
948,709,739,540,559,578,351,881,562,721,819,188,640,597,970,838,819,259,993,
106,229,075,845,378,695,855,454,754,743,628,069,340,056,744,777,259,432,843,
081,580,207,560,487,614,884,111,146,016,132,440,823,348,866,715,361,427,374,
413,206,523,980,471,745,976,118,919,838,819,117,795,936,565,144,898,936,954,
593,026,750,922,099,503,327,203,821,344,622,241,279,928,509,942,504,430,021,
708,619,302,447,023,007,488,673,092,167,573,154,092,883,082,119,983,738,660,
234,128,356,368,432,556,364,605,806,264,345,266,473,181,156,702,418,441,090,
498,154,940,979,059,286,036,350,576,373,836,536,799,173,832,802,192,873,689,
520,726,426,392,319,773,580,183,069,225,950,916,590,826,238,869,809,767,081,
555,470,959,432,680,663,645,402,932,054,121,217,292,133,572,662,761,052,598,
331,322,356,576,820,408,588,262,711,069,020,879,495,727,472,840,539,617,783,
227,694,967,872,458,019,501,917,179,400,752,053,153,053,321,157,060,236,531,
538,345,934,058,623,595,335,785,482,032,147,693,500,322,645,601,842,511,571,
536,326,016,870,135,503,159,268,497,217,341,843,571,708,624,201,151,321,706,
441,584,229,986,548,579,582,055,957,676,061,984,563,602,753,889,604,814,399,
946,281,030,716,870,567,462,429,286,162,146,389,670,530,243,602,544,236,321,
527,840,423,185,193,065,759,702,194,338,347,040,530,692,456,476,225,953,898,
066,164,096,531,587,177,836,405,990,646,875,430,412,936,774,715,888,218,098,
372,062,314,678,846,190,438,854,899,611,595,562,205,461,325,576,003,965,584,
678,247,136,925,989,425,254,194,417,333,667,417,510,308,528,994,650,176,955,
382,015,972,827,517,826,175,441,776,996,302,271,427,381,470,188,324,204,520,
778,888,053,121,764,390,795,782,808,725,835,681,054,946,168,509,900,346,649,
272,170,259,910,755,198,231,282,029,580,474,733,361,493,141,606,866,157,149,
483,996,831,440,023,886,070,083,182,238,684,277,094,738,492,263,589,603,107,
334,075,147,244,114,984,040,415,885,612,259,500,036,552,214,539,518,476,998,
405,064,484,703,057,724,390,477,848,480,526,573,586,969,501,226,939,076,009,
783,950,738,103,127,570,318,237,407,669,671,335,191,435,711,875,531,334,866,
919,011,086,703,334,921,854,320,965,480,494,255,638,287,961,197,078,164,486,
861,253,233,812,865,310,483,573,218,802,344,185,219,828,074,071,999,007,546,
363,514,455,736,332,204,655,783,360,744,880,224,809,736,543,731,258,127,730,
265,029,502,528,148,985,207,136,882,202,585,587,637,258,120,504,463,758,084,
596,212,419,635,809,262,261,917,544,707,782,825,245,273,696,313,516,963,050,
158,730,271,719,197,126,897,883,827,051,982,042,066,231,675,684,978,421,165,
800,294,189,611,654,073,061,888,075,186,018,962,624,862,262,080,533,146,491,
768,062,184,149,712,832,085,417,762,667,751,411,961,708,383,756,029,593,397,
161,009,415,024,432,301,749,505,675,258,483,353,176,425,793,116,008,896,700,
094,854,104,724,487,784,931,400,174,006,260,327,486,615,904,343,182,477,302,
383,235,770,027,379,894,476,771,037,973,517,159,721,741,817,001,477,444,212,
448,376,067,942,463,275,025,139,186,438,628,637,219,292,253,675,771,418,635,
459,393,635,647,025,591,399,478,365,583,661,076,733,780,238,319,667,759,118,
552,217,429,119,884,329,960,592,687,317,675,689,881,338,097,452,428,208,255,
163,436,419,141,854,268,584,518,196,850,210,169,167,839,201,598,569,495,139,
844,426,692,260,898,428,569,473,576,086,149,095,750,686,227,862,226,320,024,
474,192,647,516,015,487,586,330,482,847,018,049,044,975,732,134,087,809,005,
910,931,296,464,006,267,716,305,104,818,305,463,295,448,588,353,158,657,008,
973,019,090,970,540,652,950,618,544,206,802,999,475,255,502,226,495,269,130,
253,163,047,527,616,155,219,629,160,407,453,576,022,028,203,530,066,521,218,
269,826,874,760,619,300,840,675,921,708,427,860,168,593,615,076,630,995,841,
758,907,910,192,975,450,625,883,986,780,895,208,738,815,328,329,969,224,859,
725,431,399,061,950,429,786,073,958,377,561,285,108,191,074,924,203,887,471,
661,183,305,338,263,333,450,582,932,033,958,198,316,440,943,475,922,461,530,
861,341,778,520,184,310,151,839,257,871,007,448,735,378,252,851,533,164,364,
571,378,215,472,758,148,978,566,936,572,259,721,969,337,630,589,706,799,128,
351,111,547,229,946,130,811,263,663,166,724,661,893,781,044,940,834,193,376,
338,868,280,846,313,167,578,580,354,360,893,010,021,493,288,958,880,697,055,
421,881,159,704,983,318,058,691,110,121,198,599,823,085,737,556,528,090,473,
360,011,108,152,431,099,761,575,534,946,879,632,552,905,468,123,566,545,887,
556,976,993,338,645,095,834,723,865,581,515,754,437,497,755,122,820,596,136,
943,314,913,323,547,590,687,753,065,450,771,898,145,982,146,918,953,621,422,
428,826,787,206,990,688,145,763,980,374,958,954,148,165,609,049,245,038,630,
410,957,609,534,859,292,276,191,850,046,105,373,425,891,388,211,623,184,885,
897,520,136,693,741,772,353,426,292,443,224,059,444,256,307,580,181,859,673,
059,740,444,885,665,264,507,784,526,338,064,030,622,539,262,768,260,090,574,
450,059,384,381,846,135,379,091,125,344,421,074,401,277,250,446,283,248,783,
063,789,131,860,678,310,880,388,499,590,539,136,690,390,493,792,310,196,303,
391,629,970,131,555,155,303,674,561,948,745,780,642,474,858,780,656,617,015,
723,218,202,462,073,011,750,631,938,514,727,773,496,159,519,002,413,267,867,
641,836,445,700,669,313,517,453,586,628,670,464,514,507,236,826,465,511,045,
785,853,995,235,276,525,794,825,670,767,135,430,600,316,789,067,282,360,842,
860,887,043,607,245,689,093,541,124,124,265,791,320,722,146,517,360,158,114,
764,460,206,783,734,281,254,541,236,675,880,141,088,096,241,469,595,311,282,
679,717,529,312,747,632,885,967,541,565,826,447,018,765,293,699,738,871,168,
604,258,607,617,645,374,918,370,495,893,255,139,113,958,998,263,136,534,622,
451,551,267,340,368,453,490,045,668,311,818,725,695,589,901,398,431,556,927,
604,900,608,025,930,704,053,798,468,006,494,818,359,823,303,217,167,537,285,
241,568,820,462,670,463,365,940,710,141,021,466,575,159,965,667,575,514,317,
783,513,061,083,327,029,221,049,204,316,863,881,968,964,534,708,531,073,067,
221,518,130,988,125,944,045,122,012,915,110,954,284,603,288,097,910,035,600,
744,787,169,432,773,114,744,922,951,110,519,447,116,028,621,588,712,103,843,
087,812,398,328,540,387,216,704,204,201,136,131,573,769,368,721,544,066,521,
352,015,717,796,540,165,895,748,688,297,304,060,133,883,679,423,990,823,232,
379,534,986,405,998,350,725,778,265,110,502,615,836,896,783,008,365,797,486,
973,049,477,709,684,881,871,616,453,263,939,791,481,417,490,552,679,037,833,
798,409,416,597,799,772,713,040,768,760,868,210,938,109,312,934,894,476,432,
065,305,395,950,759,519,516,984,430,824,227,481,861,632,782,165,560,091,077,
189,613,895,636,334,073,918,894,890,244,962,765,205,218,552,431,453,037,197,
702,107,440,178,228,759,660,209,286,814,870,675,737,214,566,006,061,798,874,
032,912,422,496,979,982,971,569,324,918,176,568,073,672,847,654,562,592,936,
959,238,656,179,694,167,915,187,842,600,293,069,678,605,735,725,637,093,433,
238,572,459,184,600,818,344,834,225,668,702,968,524,731,834,260,415,446,307,
893,636,513,877,357,226,013,845,334,111,976,941,877,794,137,302,274,879,168,
292,210,081,601,242,513,649,243,056,472,416,492,496,296,648,328,235,700,608,
225,480,822,806,560,870,729,860,747,377,935,165,494,085,911,671,828,395,854,
077,831,251,063,790,517,383,719,938,103,385,479,041,577,381,658,099,944,332,
966,132,118,040,539,643,328,741,453,925,150,458,348,756,040,442,078,642,407,
580,276,952,059,134,975,279,863,600,299,575,121,448,398,409,379,102,496,470,
035,883,879,128,224,900,952,222,815,506,026,891,726,433,374,381,107,225,653,
039,172,241,005,342,286,304,851,760,195,521,730,192,104,027,649,838,059,331,
602,052,942,703,990,981,409,714,684,988,181,987,407,207,774,015,219,373,277,
484,516,652,644,899,170,709,975,847,657,759,377,355,681,007,335,102,010,631,
851,827,056,398,355,266,542,297,007,389,402,444,096,392,773,789,247,697,055,
400,320,554,170,760,898,504,605,186,960,212,736,337,214,288,603,277,227,409,
255,749,911,944,051,022,243,329,406,889,137,271,053,119,053,690,100,374,877,
241,258,738,651,641,820,357,995,918,263,878,244,676,414,473,744,807,412,169,
850,789,683,489,942,839,984,103,833,310,757,735,537,234,809,059,704,919,238,
529,553,737,006,557,943,870,492,739,031,554,663,995,283,920,070,046,722,511,
081,107,625,465,302,800,001,635,834,789,827,541,490,726,907,695,238,711,659,
358,475,335,287,484,550,591,926,006,300,752,699,031,653,462,064,891,671,844,
637,495,168,439,506,951,102,049,649,072,117,270,304,216,625,637,450,943,925,
307,152,551,112,214,912,358,184,360,782,043,453,632,983,707,832,023,817,793,
942,892,310,859,143,021,892,356,535,223,844,533,818,841,978,987,463,783,168,
286,343,078,945,335,946,252,092,200,517,849,617,186,568,914,591,632,994,482,
058,381,937,794,412,140,385,631,154,629,354,117,822,794,759,652,807,429,168,
055,480,272,734,696,669,441,442,230,019,763,804,359,634,917,435,624,595,975,
260,253,665,362,271,519,126,750,775,837,508,721,711,931,005,714,248,859,909,
744,138,838,456,796,359,708,063,072,992,617,017,509,605,328,515,168,473,004,
764,435,004,718,948,595,268,481,024,661,294,437,803,434,871,688,461,138,597,
796,002,926,920,759,851,531,860,096,822,312,215,902,495,528,250,423,179,122,
068,473,933,807,085,093,322,688,477,228,481,186,509,364,708,687,747,387,880,
916,040,142,781,690,423,469,977,366,321,161,496,914,488,596,704,743,967,213,
001,177,974,737,830,205,689,949,078,969,957,290,053,455,110,758,961,431,514,
893,823,477,330,036,997,313,897,891,246,558,963,797,196,219,409,808,276,205,
496,417,096,435,727,877,172,745,423,013,594,896,315,212,346,444,654,420,633,
806,533,517,807,090,127,770,613,800,658,586,139,913,197,232,707,450,074,440,
125,020,925,753,176,347,198,104,269,596,269,822,445,778,616,011,666,881,867,
629,008,773,983,020,552,873,855,898,295,365,516,515,647,644,795,065,393,873,
581,926,213,745,884,209,090,079,148,695,105,000,043,306,817,848,263,101,564,
338,780,279,514,360,972,852,451,887,117,358,105,228,525,959,377,919,735,436,
222,557,224,372,415,672,104,949,288,180,983,216,107,911,791,062,878,295,167,
262,742,802,415,468,994,971,709,458,301,567,961,144,590,566,709,188,116,530,
006,575,772,527,476,666,021,307,450,766,064,840,969,873,224,834,011,578,287,
156,237,420,564,618,411,183,819,340,449,391,707,770,802,737,269,553,150,763,
261,451,543,147,044,071,246,074,430,428,575,332,030,238,132,827,167,210,600,
773,134,163,460,581,670,800,973,990,433,693,833,298,849,125,969,899,115,179,
275,798,266,881,962,816,081,521,184,533,442,272,962,777,530,468,128,837,064,
265,382,878,700,973,315,567,577,750,818,062,887,378,523,733,439,774,493,006,
564,489,936,226,242,894,246,878,532,355,903,470,928,416,356,635,738,905,593,
125,484,813,812,303,835,897,890,443,238,054,549,163,022,631,876,676,089,654,
756,341,569,868,007,326,897,299,885,773,586,716,063,828,590,692,799,052,615,
000,391,604,166,121,178,811,722,241,855,345,334,171,824,624,397,495,109,548,
404,363,929,532,115,309,891,323,545,952,008,402,849,553,326,604,338,826,658,
381,279,439,817,785,559,183,042,486,456,834,555,937,117,138,146,158,204,275,
321,584,793,161,395,372,307,317,649,215,911,344,520,071,358,364,746,368,983,
260,687,574,475,059,488,836,037,352,080,880,234,429,933,807,710,291,378,285,
652,482,143,235,492,585,394,833,243,418,359,886,134,705,293,464,288,676,886,
118,675,819,195,019,765,399,240,928,199,926,509,549,239,629,288,638,509,901,
912,735,531,151,805,990,995,508,004,971,442,037,206,308,582,501,381,322,069,
456,258,523,968,150,845,909,034,683,633,282,684,700,944,170,595,213,256,099,
502,310,500,677,678,837,895,858,171,384,433,839,350,433,411,946,654,071,122,
415,510,134,629,759,290,473,253,537,033,239,414,416,790,274,185,463,649,627,
065,731,458,670,501,875,406,053,957,878,570,060,799,352,053,547,287,611,926,
439,061,950,185,691,250,925,359,659,191,402,365,547,065,591,346,091,032,873,
646,260,799,656,673,859,777,402,982,996,682,363,420,709,354,449,238,094,084,
384,362,964,224,885,639,260,962,238,418,678,951,207,420,499,879,834,663,166,
353,455,168,626,814,558,237,487,978,669,910,643,175,054,927,459,659,624,827,
358,196,356,462,506,540,866,714,084,924,613,094,145,140,134,659,291,142,879,
038,648,102,016,076,223,443,194,478,561,837,036,193,882,415,685,820,629,072,
058,923,870,218,653,698,383,242,475,903,858,687,648,834,060,050,622,747,452,
581,780,829,403,666,176,729,345,849,844,428,557,519,276,611,412,450,856,620,
584,275,343,619,841,315,482,735,150,730,879,170,285,803,102,477,840,965,366,
404,854,900,833,205,215,217,696,853,940,267,821,629,991,091,421,434,738,895,
886,160,590,000,412,986,798,608,918,005,578,370,562,428,874,789,919,459,571,
337,678,467,855,506,791,512,931,855,920,969,681,093,317,055,536,466,684,591,
550,345,457,676,537,443,476,696,390,054,262,121,793,260,258,354,426,161,061,
722,690,397,845,028,247,707,197,314,746,950,916,780,584,175,048,330,516,268,
877,083,417,785,195,367,107,638,746,541,236,913,089,837,042,705,795,329,754,
262,551,744,821,678,141,894,045,298,745,276,369,023,696,994,272,587,541,841,
307,446,928,355,980,638,055,172,090,373,082,205,206,798,137,333,714,558,163,
905,703,137,975,736,786,845,697,522,948,201,259,601,058,431,824,110,836,366,
184,011,376,790,923,020,713,096,887,922,300,603,590,255,981,918,855,149,915,
605,931,602,877,973,603,850,755,631,522,014,012,305,751,066,773,817,912,995,
842,805,600,219,689,876,110,200,092,738,869,349,122,907,492,346,413,694,545,
469,297,950,186,500,678,119,783,186,701,540,945,619,568,354,591,821,935,850,
935,301,307,795,451,350,762,872,411,229,351,754,040,718,623,520,549,278,406,
737,952,317,120,607,412,736,404,929,067,424,714,319,138,184,840,578,854,376,
313,384,962,635,402,620,686,380,114,230,236,082,216,872,232,151,688,112,985,
382,999,194,029,802,990,931,734,353,557,872,778,388,701,460,101,549,818,307,
212,325,866,407,188,085,194,764,815,335,543,204,376,418,115,043,016,245,125,
546,727,795,654,985,145,511,202,630,900,953,188,468,446,791,233,565,976,893,
465,073,300,730,082,262,407,586,728,476,456,478,365,910,771,086,228,023,237,
332,210,117,309,686,587,956,637,258,509,226,153,980,161,679,263,818,749,978,
120,732,372,180,129,942,563,269,083,286,873,495,425,794,955,721,069,857,240,
977,133,224,121,330,492,378,270,584,862,227,814,285,565,765,023,498,612,989,
460,181,496,702,879,966,361,170,273,813,433,132,450,458,964,584,546,532,394,
123,176,618,027,657,962,044,142,226,658,168,424,744,473,122,345,770,739,330,
753,900,374,583,054,644,771,768,766,629,512,176,658,568,126,175,703,389,585,
639,651,621,695,102,696,064,924,420,901,060,806,736,091,460,268,315,951,437,
512,226,104,271,111,518,953,448,740,461,767,568,643,798,376,489,997,328,041,
075,209,749,528,714,848,781,438,045,238,866,702,791,756,453,140,762,291,953,
385,428,394,580,694,146,250,115,941,275,459,550,199,048,689,125,673,930,163,
222,026,539,881,299,805,383,343,449,221,928,505,382,579,821,258,346,021,418,
346,713,911,003,307,538,812,392,304,659,854,717,840,543,736,171,998,357,866,
472,048,864,473,268,087,866,843,846,328,434,070,128,507,453,499,750,120,272,
844,357,420,511,301,169,502,693,423,890,035,696,418,654,952,476,963,936,770,
444,597,565,902,464,680,883,287,969,718,218,169,365,630,825,166,686,502,818,
063,206,633,877,200,674,734,444,418,999,006,010,382,150,654,259,426,454,003,
327,463,462,005,845,614,179,937,334,713,183,662,156,709,675,128,548,283,651,
798,310,293,387,342,755,917,682,971,206,118,315,359,914,276,230,211,001,637,
801,405,927,862,397,382,081,488,240,789,870,026,635,773,788,175,571,257,963,
434,407,951,250,816,678,235,045,470,860,173,633,996,355,808,681,011,975,222,
556,324,419,482,890,992,105,642,209,409,156,393,211,910,892,494,111,136,271,
471,259,298,877,335,155,567,669,201,516,856,596,266,870,845,700,387,402,382,
684,812,523,813,129,801,465,954,239,671,629,078,007,084,223,446,255,089,001,
339,863,191,650,927,370,783,005,885,413,525,188,273,749,166,561,586,486,391,
750,212,429,297,273,229,808,405,821,191,348,512,148,951,618,878,379,248,489,
698,852,862,833,147,006,255,905,594,574,351,113,896,291,005,859,139,310,282,
404,450,037,745,391,551,799,906,599,298,661,316,201,764,417,364,455,234,590,
747,496,740,837,915,300,193,361,056,394,627,542,309,600,287,627,044,438,553,
307,624,260,042,131,496,235,107,484,870,027,669,674,039,316,541,858,235,366,
325,810,673,771,539,961,529,751,525,179,543,780,057,242,681,672,774,970,516,
901,096,335,477,897,298,403,284,491,912,679,864,372,077,819,968,011,540,394,
804,842,326,815,092,954,522,111,896,914,219,664,010,520,120,005,405,415,442,
319,389,862,789,605,662,281,518,549,053,412,930,629,083,227,297,246,827,535,
589,157,903,568,531,684,744,311,142,147,243,085,136,539,239,559,904,038,178,
380,565,122,495,907,521,030,361,288,104,633,438,493,178,559,728,139,374,875,
771,312,487,014,228,167,388,233,547,057,674,612,523,205,778,913,183,229,632,
486,329,554,777,498,983,662,969,616,742,042,607,657,792,538,625,953,867,351,
453,113,032,815,080,364,521,340,530,304,014,116,738,614,891,479,463,290,313,
658,962,956,465,154,313,959,946,183,676,863,379,303,904,453,725,148,821,349,
996,986,248,079,142,027,173,138,218,539,544,867,535,995,941,659,049,382,650,
683,196,374,087,195,813,830,786,278,186,957,997,218,044,142,825,316,870,683,
332,427,735,975,404,547,221,770,410,854,418,102,631,031,394,190,687,420,670,
349,985,544,019,327,771,467,606,612,112,741,636,421,962,175,742,116,541,922,
110,129,012,132,171,448,668,016,360,496,409,875,758,937,175,176,323,400,305,
828,892,900,492,145,783,271,689,914,007,899,082,819,023,247,490,800,022,019,
842,179,584,989,752,320,973,059,911,805,595,675,337,048,725,815,557,235,413,
379,075,695,388,573,600,686,425,927,262,251,462,061,183,194,694,527,757,526,
225,034,390,862,690,297,256,887,281,980,476,754,686,625,834,492,263,663,883,
610,950,699,854,023,367,516,011,732,373,070,435,898,064,539,029,206,630,778,
822,828,848,367,469,357,268,112,879,529,584,411,221,382,143,036,160,835,356,
700,559,090,507,280,201,826,984,379,754,240,904,376,687,548,689,600,179,804,
785,380,209,001,450,289,189,843,785,900,577,324,461,845,451,936,479,736,278,
757,120,857,274,365,878,431,318,229,472,938,371,435,128,242,567,440,700,438,
924,765,138,842,630,095,810,870,241,117,314,133,167,782,273,719,473,538,971,
311,415,696,402,383,772,479,146,744,621,435,905,565,536,816,995,513,199,565,
462,994,407,050,437,807,109,035,331,762,271,412,145,978,661,671,015,423,394,
437,065,824,066,452,581,756,575,070,718,140,617,635,888,062,834,631,113,009,
110,050,464,596,975,594,068,831,591,276,534,070,833,957,334,825,003,694,768,
396,847,869,650,887,657,804,359,558,818,518,156,425,216,955,956,555,476,878,
763,881,480,641,035,115,581,239,247,279,371,442,577,255,760,411,610,515,256,
321,179,447,302,676,243,779,382,254,586,287,886,738,811,145,692,278,867,132,
662,667,425,222,254,795,634,113,712,066,940,313,260,962,594,362,292,342,595,
825,741,184,358,417,470,730,272,862,938,356,921,267,655,316,016,469,969,350,
464,260,157,460,918,073,763,785,172,814,736,199,255,745,677,088,665,010,006,
284,451,701,384,943,938,518,031,987,065,649,930,676,615,289,527,100,558,832,
210,231,060,718,133,875,469,541,625,913,787,582,725,920,618,008,751,975,253,
659,494,073,707,527,424,423,955,717,036,488,488,628,365,109,599,181,531,982,
639,259,340,453,134,722,363,343,711,171,799,985,532,677,060,269,509,953,241,
155,353,589,624,764,462,392,261,587,744,839,493,327,938,106,042,346,759,717,
948,336,374,199,875,393,380,026,470,541,143,375,382,916,579,750,642,327,143,
586,631,446,245,763,198,471,422,347,691,643,997,621,756,029,663,116,458,779,
162,931,117,114,965,155,763,595,320,728,914,248,902,023,824,541,361,528,719,
286,284,755,389,452,746,148,352,999,426,324,376,164,925,438,235,222,153,895,
678,866,200,422,671,015,843,859,826,644,152,016,222,751,894,451,522,128,779,
050,485,236,583,311,738,369,114,778,443,616,193,324,464,627,096,359,917,149,
599,415,147,706,548,811,139,045,765,471,362,069,264,596,389,583,329,656,900,
456,478,075,240,639,452,354,929,111,748,607,778,921,681,008,524,112,016,161,
164,501,852,260,610,802,225,550,794,217,608,568,176,757,673,305,287,442,704,
525,546,523,983,063,680,296,242,674,030,656,956,556,171,676,779,343,781,100,
621,106,442,498,353,629,419,826,016,948,255,645,634,426,668,149,363,738,333,
505,148,594,286,442,217,104,846,650,720,282,342,221,782,942,324,665,009,899,
586,615,297,507,743,577,502,422,835,998,295,875,399,411,634,294,291,202,111,
497,738,906,099,339,814,588,969,201,140,151,744,123,055,287,785,055,832,564,
459,142,773,245,983,453,067,583,527,623,676,307,942,705,566,490,432,615,753,
189,048,643,473,065,320,041,431,952,547,189,204,987,078,689,948,562,100,734,
985,035,640,495,601,791,692,082,006,923,970,342,794,772,044,406,063,278,302,
988,764,644,130,387,062,587,130,368,154,568,373,842,495,484,668,711,048,468,
933,042,504,041,634,529,378,293,006,553,558,637,600,793,868,102,929,940,477,
634,510,792,123,561,220,318,110,643,290,602,388,593,526,961,330,577,444,336,
937,864,311,201,459,049,178,133,236,415,165,652,731,977,957,685,989,435,177,
165,854,365,673,667,716,757,730,545,282,900,352,803,025,495,818,874,505,442,
540,741,483,269,851,474,865,486,324,785,400,242,176,669,915,546,402,044,966,
569,180,306,454,343,488,653,179,874,725,741,196,006,397,391,731,387,574,500,
230,406,627,978,633,275,892,489,930,868,829,010,564,398,808,439,760,069,777,
019,186,212,533,964,017,226,976,223,847,412,275,395,451,872,294,354,899,010,
410,054,476,120,366,066,581,879,149,344,790,643,061,364,806,009,242,167,650,
022,994,018,968,171,852,124,839,420,568,550,412,318,904,021,248,795,332,401,
272,789,890,864,961,151,661,604,695,165,856,254,756,753,302,579,676,151,025,
143,477,427,122,640,082,768,523,321,194,114,724,209,864,697,323,516,150,263,
795,454,000,227,738,192,393,127,226,462,226,341,564,651,248,896,792,429,985,
362,475,881,079,197,622,614,953,711,095,284,496,149,725,098,436,300,594,951,
035,079,260,613,420,936,640,015,236,186,377,973,714,529,329,686,519,706,614,
980,770,605,836,836,195,858,711,717,690,277,149,807,186,437,785,290,499,145,
116,152,172,572,148,151,881,361,458,122,503,712,370,477,205,635,373,935,511,
490,118,215,537,893,491,175,820,286,041,127,034,135,812,846,214,112,173,041,
632,810,583,242,589,244,272,031,401,858,097,401,822,773,818,025,476,422,747,
355,946,090,092,152,178,079,474,176,274,971,767,257,301,069,813,603,442,090,
274,082,355,307,159,178,773,717,956,326,482,214,776,881,521,873,603,620,102,
333,445,202,468,469,126,769,039,896,021,529,551,859,765,613,905,962,164,894,
042,113,770,875,018,520,948,608,063,940,333,292,880,613,219,942,077,184,741,
232,104,503,704,134,177,264,978,078,151,953,892,302,522,000,539,684,329,434,
275,696,554,324,723,161,111,628,465,597,765,566,281,003,083,302,809,891,356,
071,346,921,297,590,597,535,173,035,385,362,231,699,895,600,110,457,899,924,
778,345,256,696,523,265,446,267,732,330,535,270,584,127,361,364,864,274,751,
199,005,611,969,430,605,849,394,944,194,939,881,895,859,399,227,352,989,540,
878,616,793,392,339,294,989,095,054,252,513,845,995,026,210,879,823,544,701,
548,966,046,964,839,699,615,979,844,728,340,586,589,450,297,386,778,208,820,
737,980,879,304,073,000,185,237,388,351,927,400,599,746,753,844,758,013,633,
584,059,139,745,996,130,809,444,995,805,523,629,002,554,261,508,296,143,853,
112,196,618,305,113,786,463,394,700,171,297,706,732,058,458,889,885,930,792,
040,752,618,822,864,489,207,758,225,872,148,120,211,606,740,568,356,699,253,
835,980,505,584,645,588,077,305,472,288,744,244,515,827,291,059,939,981,138,
629,238,629,173,996,050,435,110,253,394,194,023,918,270,881,335,603,696,392,
060,705,829,671,759,939,630,139,523,734,483,937,506,163,028,940,157,218,250,
917,839,893,776,449,836,546,437,959,938,152,081,642,068,772,193,249,713,558,
055,555,849,302,660,678,788,293,380,057,221,586,752,669,284,162,523,658,270,
766,965,378,264,539,180,186,900,360,503,742,119,970,772,262,212,559,984,997,
554,212,414,832,864,428,701,167,982,610,364,532,946,737,000,488,993,424,371,
786,707,047,721,076,530,661,386,071,038,249,154,665,702,568,071,045,930,774,
593,488,469,621,916,848,418,703,836,550,182,093,779,314,019,822,077,425,891,
924,631,950,122,329,787,189,378,677,455,734,970,922,686,875,032,708,084,711,
161,616,224,424,084,859,262,612,812,756,232,955,113,627,235,331,923,352,138,
081,255,151,505,784,686,228,640,109,518,068,273,201,722,454,713,493,307,141,
240,521,609,213,172,427,963,046,588,496,533,469,003,623,455,101,028,810,689,
809,957,718,552,945,194,587,440,138,530,862,118,613,562,459,284,513,837,091,
658,678,502,117,730,201,922,514,560,226,269,248,802,327,871,576,911,411,193,
523,776,875,503,166,262,592,861,626,199,779,296,434,136,795,430,101,865,224,
396,005,508,795,143,443,668,201,814,053,613,504,496,217,863,096,499,735,759,
746,392,961,503,775,247,116,638,316,767,937,130,880,739,252,163,872,681,360,
353,590,847,543,413,933,162,709,275,999,461,853,488,630,278,508,754,052,099,
631,738,537,546,481,430,153,464,958,961,122,956,276,574,341,428,032,915,120,
165,104,482,620,065,123,677,084,611,192,029,745,354,918,123,243,550,892,683,
753,629,712,216,274,492,719,116,134,314,841,211,955,263,359,911,012,268,278,
254,516,530,365,251,118,660,911,203,104,121,534,496,289,675,740,585,565,956,
665,509,527,566,827,970,689,026,861,969,106,415,117,125,156,173,191,533,283,
490,587,164,553,675,409,801,895,919,209,538,642,274,521,354,632,860,976,119,
245,948,692,309,585,399,958,982,630,287,458,135,683,121,972,784,263,752,696,
592,199,171,383,168,777,948,839,958,976,163,563,933,479,079,467,287,550,363,
225,252,733,514,094,007,793,047,495,578,382,070,163,589,697,702,096,953,659,
778,677,152,228,148,152,378,231,452,431,464,125,387,551,171,701,919,636,042,
132,918,019,977,519,514,096,049,363,413,139,765,514,861,406,776,297,335,998,
782,666,059,885,816,981,719,485,707,824,956,494,850,032,819,435,626,711,238,
549,544,180,581,173,900,582,823,327,307,291,299,632,220,166,474,561,523,309,
730,187,542,095,209,863,788,978,640,672,047,899,273,597,350,752,502,267,721,
060,323,620,803,539,018,716,555,411,666,847,429,977,301,828,541,382,326,653,
108,248,109,345,098,338,152,644,769,651,002,822,813,446,631,790,750,433,828,
972,357,453,639,229,958,212,662,489,079,046,207,050,756,398,055,941,165,810,
314,613,140,071,105,383,262,851,953,592,055,110,006,385,352,418,591,965,168,
436,081,181,143,403,195,276,629,806,457,193,875,209,145,795,630,764,497,738,
670,628,126,948,821,135,772,900,714,370,479,683,721,352,225,610,068,017,900,
516,386,677,612,136,743,074,907,173,980,879,534,915,363,356,598,008,839,729,
471,933,531,305,773,394,177,112,433,674,205,458,311,235,010,244,284,926,635,
293,245,362,341,305,234,945,989,808,344,051,473,799,600,818,138,190,016,586,
778,711,391,940,361,784,327,943,711,902,107,494,384,732,145,998,065,868,260,
075,624,296,396,297,142,963,929,783,973,920,207,885,993,720,548,593,314,549,
525,574,869,013,097,567,557,439,350,734,303,862,594,852,825,575,564,706,707,
415,389,699,371,802,910,932,726,921,562,390,535,849,997,213,771,375,789,548,
370,542,097,866,732,483,135,473,321,414,624,913,588,233,206,356,355,995,859,
187,397,558,416,566,449,330,052,402,509,866,361,517,961,920,092,819,164,791,
216,246,847,752,588,645,066,842,181,841,827,238,334,645,343,928,306,877,332,
294,869,060,225,127,887,835,959,034,000,006,099,007,590,282,699,544,716,448,
028,990,946,749,572,373,911,902,088,074,349,038,809,770,228,734,431,061,258,
178,367,037,212,866,632,515,414,714,924,743,406,918,707,435,607,503,005,274,
737,237,738,635,962,014,000,428,183,219,552,409,170,576,525,267,913,782,125,
117,922,758,989,470,851,886,662,233,454,153,513,735,270,344,103,351,492,575,
072,397,339,642,095,762,293,197,624,553,058,674,009,303,527,346,252,927,168,
427,499,782,413,138,849,704,507,985,990,321,260,375,345,688,100,567,894,949,
310,267,228,988,613,891,005,593,660,597,095,229,327,744,658,999,459,410,745,
948,136,781,675,552,769,447,948,568,252,152,873,429,180,030,844,506,712,202,
671,324,700,553,769,521,292,589,526,668,324,689,653,043,551,568,896,105,431,
154,941,978,139,519,943,936,837,047,946,939,509,718,634,987,955,577,726,117,
262,677,840,569,519,628,388,521,959,329,929,679,387,015,841,215,291,339,917,
247,009,242,517,667,484,201,968,539,691,858,285,021,317,853,467,087,913,430,
960,727,321,967,395,947,408,093,458,854,083,823,186,228,661,703,983,310,751,
771,401,520,620,395,798,768,582,968,160,745,927,345,328,154,011,401,578,201,
350,941,075,962,401,677,004,901,886,023,061,339,173,975,027,834,587,892,971,
480,885,706,024,508,877,927,081,708,720,128,824,774,823,493,740,790,497,517,
092,584,308,389,477,728,431,338,314,100,828,634,562,800,398,181,004,323,136,
845,406,226,213,198,804,044,473,680,702,066,044,374,580,732,239,477,369,371,
293,985,153,628,400,262,299,689,587,856,871,951,988,079,019,725,812,188,053,
061,412,931,130,630,927,854,330,003,377,834,883,010,354,015,362,333,898,536,
128,378,367,324,880,929,316,974,573,714,652,822,018,345,185,151,277,077,189,
396,848,055,544,343,889,165,463,354,609,824,140,339,746,612,567,652,157,341,
235,037,606,209,004,152,262,201,876,883,012,907,258,507,233,834,102,732,419,
574,398,464,816,141,574,501,427,893,950,686,137,459,007,877,464,813,069,692,
682,211,041,636,135,135,503,272,439,545,551,003,765,125,349,294,146,918,659,
406,526,762,867,771,734,914,837,034,100,969,300,359,684,419,513,904,895,658,
545,686,032,689,149,958,382,950,798,837,334,127,251,408,270,483,540,582,472,
276,165,706,044,117,142,277,907,302,368,394,510,365,582,791,957,984,792,234,
640,761,775,547,921,528,519,988,737,016,627,793,278,618,044,420,295,400,497,
740,265,108,907,625,010,022,649,591,712,928,892,025,832,496,044,255,366,874,
395,940,278,753,915,593,475,030,853,437,658,652,918,436,939,991,961,121,615,
621,589,423,115,832,709,842,213,527,236,623,523,653,439,742,183,506,439,509,
137,526,614,423,175,312,421,845,327,180,408,035,599,574,945,745,076,329,181,
881,115,906,408,508,207,116,567,616,593,641,880,302,317,631,037,149,595,400,
653,310,074,092,730,251,716,842,042,562,625,661,437,914,184,651,000,012,768,
228,742,409,748,074,751,239,914,324,329,515,012,720,873,513,365,286,407,374,
995,356,925,546,478,836,405,774,793,789,957,623,341,467,814,119,568,995,060,
012,053,513,059,770,516,525,387,733,190,483,802,822,654,150,349,773,602,822,
361,139,190,208,069,531,171,070,369,673,947,393,551,229,768,354,125,626,254,
947,540,426,890,200,934,839,870,923,781,278,754,366,380,330,995,836,109,726,
598,015,953,171,029,304,135,120,725,525,852,241,375,872,400,845,494,248,602,
548,869,879,182,175,128,696,964,374,891,797,081,697,388,170,827,724,567,399,
487,177,906,527,429,921,872,237,677,232,495,529,813,533,137,787,473,461,896,
691,288,372,072,101,050,103,756,486,442,270,389,774,236,096,098,948,745,576,
689,025,792,133,567,066,691,120,095,862,723,763,654,381,897,700,732,080,535,
899,543,017,960,935,021,286,690,543,678,664,163,144,424,458,326,368,827,832,
437,977,676,392,908,123,263,114,184,970,655,574,321,175,850,502,598,136,389,
427,601,963,049,027,615,167,313,140,499,049,335,061,158,276,678,138,253,113,
992,156,209,868,444,463,518,820,198,819,192,211,616,705,911,496,549,389,045,
601,103,077,786,420,347,681,955,288,353,411,525,388,797,023,585,065,490,549,
638,983,398,229,067,794,430,399,660,756,815,254,946,766,645,996,806,398,490,
349,514,852,434,683,082,896,175,715,975,693,139,438,000,935,469,036,417,846,
728,856,619,338,628,149,845,373,329,417,081,073,814,210,524,337,118,615,131,
646,697,693,928,676,718,965,962,194,101,662,336,884,559,518,695,808,216,579,
593,787,330,409,722,792,729,939,541,180,790,852,536,702,184,947,288,574,129,
827,077,398,541,948,148,500,772,165,813,638,845,608,555,046,755,282,436,830,
313,214,821,323,714,505,877,500,818,643,814,402,759,786,195,622,873,572,599,
033,441,694,985,741,138,854,457,986,080,386,340,133,431,619,354,922,210,497,
672,050,389,327,650,392,000,319,161,669,855,850,010,146,853,094,118,939,519,
651,345,491,733,682,506,751,585,398,370,481,798,605,182,592,029,124,586,148,
030,724,409,564,261,214,103,334,586,149,539,493,338,596,571,158,251,652,460,
515,952,318,534,653,797,945,616,000,969,322,725,404,163,336,554,383,170,642,
892,964,233,856,819,146,687,114,061,070,684,626,971,298,946,266,374,356,274,
832,109,922,644,253,648,563,669,263,064,624,159,036,881,022,795,574,899,238,
625,197,723,158,027,807,414,499,875,751,106,616,006,347,879,591,399,935,621,
494,071,264,100,127,640,172,031,795,853,702,526,860,972,695,501,774,128,717,
609,496,170,246,396,096,821,238,345,540,487,173,909,600,244,542,913,613,824,
926,114,850,902,872,595,372,492,774,248,126,955,073,891,396,089,620,202,496,
322,213,115,433,334,450,987,774,630,672,664,598,788,858,532,766,832,708,247,
917,922,298,308,911,544,391,064,763,318,492,301,115,719,416,119,096,695,897,
517,300,821,308,208,979,121,214,691,686,444,532,553,854,809,799,349,006,861,
635,815,538,918,345,440,444,480,008,364,699,156,502,880,454,642,251,043,294,
040,566,116,346,587,443,782,485,194,162,724,975,752,714,739,111,533,005,315,
303,100,098,877,315,548,678,504,053,319,804,616,755,873,559,703,954,319,009,
625,192,300,551,278,616,726,204,489,222,531,058,770,862,865,528,191,921,960,
771,728,669,484,443,299,956,377,115,669,643,688,416,521,188,980,523,625,375,
534,782,478,838,505,281,071,271,189,511,287,359,789,126,919,515,435,279,656,
481,297,871,861,233,689,107,776,818,729,534,318,721,413,207,117,343,033,670,
986,148,652,978,566,582,726,485,138,130,066,650,242,483,612,750,267,631,345,
727,615,459,769,862,712,813,372,630,561,380,281,500,143,442,957,928,760,157,
354,084,058,921,126,226,381,777,698,474,858,924,924,977,793,779,741,291,101,
457,166,652,618,549,705,458,805,666,156,670,472,266,144,694,146,215,225,243,
773,642,654,320,592,952,845,328,932,130,059,294,715,527,444,498,270,663,059,
207,596,973,376,947,992,327,625,586,957,438,473,902,061,699,483,383,469,043,
304,615,594,595,462,506,393,562,084,377,250,864,316,613,164,360,002,905,802,
572,583,275,848,949,463,411,499,040,457,696,950,787,007,651,460,167,322,375,
732,511,342,035,914,505,989,954,299,102,431,679,819,434,738,925,809,645,482,
819,822,678,284,958,375,461,876,230,131,013,781,565,329,957,204,419,129,847,
649,709,940,682,996,338,813,903,104,843,789,482,440,074,209,262,710,776,310,
091,886,806,179,162,747,457,985,471,984,508,458,791,103,897,697,832,375,114,
585,308,409,642,450,491,719,137,061,405,414,678,964,724,476,693,845,661,051,
863,773,142,984,266,837,388,367,621,398,074,705,907,780,552,400,468,583,044,
166,419,609,394,823,430,676,802,660,788,235,578,580,184,137,753,770,326,055,
066,948,529,992,605,351,459,645,076,354,507,932,758,866,130,403,324,217,659,
545,471,898,965,540,286,777,188,971,288,111,661,051,148,851,101,008,741,157,
689,310,707,047,702,210,403,744,248,804,759,321,354,938,435,597,513,878,215,
478,522,605,820,461,685,015,621,485,826,199,556,967,836,353,298,586,398,960,
228,418,812,498,432,980,372,766,691,417,722,433,530,946,643,439,783,315,334,
504,212,341,852,991,165,444,851,668,609,048,620,784,520,342,077,759,572,955,
915,311,856,309,143,138,869,892,229,696,537,545,579,728,030,853,976,890,809,
296,286,815,267,614,566,295,221,923,511,757,403,482,539,202,726,000,949,285,
054,452,057,682,111,007,707,192,914,077,105,762,442,136,548,622,492,211,917,
712,132,831,884,264,036,232,731,646,690,781,705,058,830,191,791,391,954,912,
833,139,887,965,699,781,451,304,208,637,417,655,485,222,873,883,953,156,621,
963,530,765,023,396,999,717,325,316,545,018,479,501,824,657,051,972,276,652,
766,651,987,653,208,310,142,595,705,879,416,037,230,749,558,392,194,398,957,
284,171,171,481,505,009,580,377,245,578,020,598,306,683,704,247,373,716,436,
453,284,431,040,283,907,354,868,259,480,042,867,503,137,236,032,840,415,545,
604,634,290,881,617,693,447,627,765,951,179,385,844,523,520,994,949,919,245,
420,655,815,862,871,192,342,539,524,783,606,716,994,820,761,522,715,554,598,
403,618,531,496,962,931,767,415,618,372,178,692,856,773,640,616,709,037,151,
625,840,368,892,485,368,224,264,851,436,444,554,712,697,881,658,560,678,189,
084,857,473,521,299,343,661,308,490,002,438,532,681,745,341,540,478,977,816,
948,197,700,565,010,470,391,816,908,368,234,931,973,451,948,190,276,551,691,
275,553,880,448,882,124,568,931,897,790,181,050,996,335,640,877,007,595,160,
198,330,760,259,465,774,743,738,765,407,083,687,556,675,194,448,823,863,648,
161,546,465,029,324,472,144,071,003,210,436,760,232,079,464,693,772,006,491,
113,420,975,421,604,082,631,793,653,957,495,732,468,567,577,171,597,996,637,
870,755,350,202,691,349,159,581,325,279,152,130,002,174,699,305,328,444,271,
719,242,138,196,323,641,198,050,943,500,287,560,101,799,667,894,594,468,833,
281,436,371,719,852,474,173,482,221,579,739,362,928,693,502,592,955,203,006,
590,925,394,763,817,938,481,104,065,587,905,084,438,544,613,311,289,680,427,
483,165,245,782,076,215,001,084,201,788,752,624,707,801,688,815,425,076,628,
260,782,306,130,609,713,773,209,762,228,474,765,022,978,740,457,829,202,660,
556,938,748,340,307,665,302,984,615,449,332,884,704,082,171,748,339,800,857,
468,920,269,505,774,507,528,403,003,658,519,927,179,500,851,244,608,598,134,
204,053,747,730,487,159,648,109,745,817,970,392,374,064,107,188,783,808,902,
387,108,691,603,717,565,640,065,117,281,106,149,677,450,005,398,791,474,916,
588,086,958,322,625,526,664,658,670,148,108,424,605,935,945,903,754,376,506,
203,891,922,750,986,319,592,346,012,787,943,033,053,397,941,023,887,141,239,
130,715,985,365,935,074,794,400,082,612,342,361,581,920,744,489,252,908,773,
090,046,485,476,102,071,463,316,018,539,606,603,267,511,101,226,287,922,586,
911,300,403,552,666,044,257,678,921,780,679,870,027,276,885,842,892,310,089,
804,389,786,860,209,761,024,483,676,329,219,717,870,152,286,319,121,713,052,
133,219,306,011,171,268,150,956,139,225,953,185,523,408,974,536,352,410,533,
700,962,984,885,245,578,088,480,653,609,358,884,295,800,302,730,059,907,812,
723,575,685,345,573,479,017,856,040,128,883,746,041,492,640,700,488,330,991,
187,888,550,641,234,978,721,695,768,910,694,142,991,416,917,694,580,759,207,
420,518,807,173,028,245,172,987,836,336,396,805,586,703,957,983,672,064,446,
080,513,158,986,569,200,192,805,628,562,795,646,408,765,328,696,176,051,072,
740,118,384,469,018,077,290,467,281,255,667,711,316,937,164,577,838,105,317,
511,590,853,087,471,807,424,828,805,692,500,792,176,310,403,677,234,883,162,
382,083,760,394,377,360,881,147,433,313,363,961,736,002,524,985,417,454,615,
572,598,579,996,964,983,347,175,856,388,563,850,083,108,181,421,510,893,269,
109,977,357,476,685,321,702,153,600,417,573,868,626,934,875,933,134,955,070,
830,596,283,869,630,969,507,574,258,724,824,616,948,981,804,195,299,790,795,
537,132,120,478,606,265,541,062,218,342,450,744,171,869,176,549,973,706,792,
453,385,251,917,482,202,248,078,192,920,952,139,869,744,432,834,634,238,196,
850,881,969,000,056,552,199,141,873,840,699,213,223,692,475,299,467,369,804,
924,761,129,993,586,898,075,879,804,668,497,331,246,464,330,753,944,233,739,
725,855,684,580,830,352,802,065,765,122,029,161,683,699,252,723,922,285,481,
738,059,128,053,730,901,995,751,820,086,064,164,846,050,714,615,102,429,449,
581,837,354,190,133,932,361,598,161,169,424,793,120,152,862,719,517,874,603,
280,144,354,270,807,175,642,711,208,376,631,972,485,702,448,676,052,305,943,
437,889,278,149,044,749,552,158,312,575,836,150,261,704,128,773,684,715,105,
374,091,789,343,964,843,333,822,402,465,985,337,667,089,285,476,018,681,018,
146,809,136,557,678,360,002,138,409,902,046,432,540,360,414,137,643,206,410,
961,588,250,943,506,365,543,095,475,716,925,586,974,160,185,890,025,986,639,
983,412,208,993,593,095,783,499,021,388,779,520,464,315,922,210,348,095,410,
293,132,451,303,705,105,791,588,273,241,253,565,269,516,486,595,425,354,458,
564,159,279,773,368,872,236,844,664,121,328,942,999,871,915,527,431,862,613,
649,136,070,831,410,442,650,404,217,158,746,333,065,549,333,629,650,360,686,
349,140,934,139,860,970,782,347,079,294,688,351,348,231,401,575,934,518,626,
994,337,300,458,649,788,505,382,814,103,656,444,480,267,501,358,086,040,526,
063,153,903,928,055,958,629,513,307,589,765,579,734,273,754,747,366,364,539,
761,248,164,620,464,344,945,059,774,529,465,753,682,172,640,798,184,587,656,
578,799,878,456,845,840,112,217,946,112,118,882,840,257,533,921,731,755,456,
840,003,261,367,399,072,447,096,365,438,804,996,096,911,035,270,998,576,614,
023,823,942,350,334,430,123,779,702,303,595,356,950,057,350,091,945,721,610,
910,682,358,815,150,149,013,108,939,013,440,147,766,693,676,404,961,213,392,
297,386,244,410,091,076,436,247,512,913,384,338,597,071,830,735,915,118,132,
377,351,039,502,426,552,452,335,193,808,214,273,092,767,068,662,444,625,036,
673,365,494,163,525,961,149,033,029,076,418,953,568,088,305,585,615,635,711,
818,604,971,201,621,884,952,119,466,513,467,984,330,919,276,782,515,915,768,
675,182,712,116,347,529,506,578,670,748,039,120,726,213,328,401,614,489,106,
589,566,275,344,754,074,022,167,687,377,100,797,458,061,064,894,624,427,945,
179,928,052,903,281,278,398,422,696,237,803,683,227,450,079,709,493,626,187,
949,302,613,809,808,351,590,966,119,351,431,000,652,643,894,508,412,323,025,
288,353,149,518,840,580,901,776,252,755,916,679,212,168,503,091,597,818,023,
466,559,859,345,153,616,257,323,762,453,382,219,357,688,605,066,262,758,822,
661,280,012,972,645,986,806,414,930,602,715,933,887,853,296,554,843,372,929,
007,811,242,613,427,877,159,916,457,235,040,888,489,477,604,754,317,851,191,
182,137,062,947,386,904,794,510,741,794,663,757,054,039,953,084,745,296,533,
158,280,783,878,703,032,411,947,135,959,791,899,271,544,772,452,630,757,139,
722,866,914,423,471,557,678,392,712,100,556,409,175,744,951,326,736,262,664,
833,328,954,611,838,165,016,964,139,076,556,790,157,709,594,741,182,095,749,
933,924,330,290,796,523,501,491,346,805,319,928,082,816,513,523,496,840,607,
896,897,350,519,696,410,755,222,896,161,522,583,229,073,567,758,385,619,763,
397,123,193,722,144,302,957,435,944,262,382,917,161,130,652,777,837,182,533,
866,870,077,948,232,848,167,089,262,051,958,048,207,354,078,841,905,960,330,
707,710,931,890,481,214,720,193,457,507,375,043,289,260,455,493,799,276,862,
332,671,717,944,233,706,930,751,353,780,231,601,751,265,893,438,967,649,643,
382,071,930,851,260,091,337,595,177,810,718,359,034,297,651,280,803,198,969,
165,106,979,336,646,047,098,114,305,213,407,491,467,208,286,158,687,366,734,
211,058,168,628,657,787,486,181,876,093,306,142,279,000,969,186,980,390,666,
407,248,560,587,028,072,554,610,345,836,101,150,526,785,118,270,008,381,695,
377,723,511,813,270,027,138,585,936,860,525,510,316,258,377,420,261,950,783,
188,314,457,906,035,581,117,412,554,068,724,054,753,801,566,312,068,882,107,
603,625,724,799,059,142,763,643,066,349,783,946,149,236,785,624,569,101,362,
531,740,268,952,503,437,371,873,053,461,578,144,950,698,288,904,115,635,405,
915,166,175,037,210,439,375,336,918,517,036,064,912,808,304,204,339,262,468,
758,963,071,461,791,427,365,262,676,684,024,630,333,266,415,384,069,581,109,
579,271,886,133,295,830,684,346,505,879,785,839,030,722,175,974,638,038,990,
450,775,775,963,309,462,706,127,207,704,142,416,954,803,050,954,515,327,024,
215,945,680,876,666,437,285,821,571,435,208,524,648,377,398,815,594,906,609,
878,703,735,918,623,454,758,175,451,616,469,842,593,701,151,965,576,535,512,
711,544,661,473,709,557,659,455,421,442,530,304,916,405,199,520,399,021,039,
474,517,494,095,997,981,042,653,134,128,076,436,386,376,842,338,569,822,701,
385,088,709,799,196,456,488,884,931,377,061,759,469,514,248,197,687,073,623,
592,458,532,067,651,656,154,447,702,501,180,982,405,683,073,893,333,166,001,
326,663,464,953,869,377,701,711,566,371,903,956,171,043,212,356,871,364,464,
995,238,469,213,586,588,905,508,175,126,172,611,846,351,837,126,161,360,041,
961,579,815,688,548,373,178,105,697,389,145,347,083,880,092,507,633,882,158,
115,905,607,599,646,478,180,072,991,734,675,021,887,939,482,891,590,999,742,
927,966,681,142,545,110,746,376,976,401,153,044,626,623,934,492,418,591,442,
209,843,291,465,666,961,445,084,054,734,252,724,183,412,355,272,277,464,950,
129,350,556,869,270,427,532,998,139,073,868,602,813,930,283,964,811,195,677,
446,639,524,211,006,851,815,521,531,535,215,656,951,782,756,142,739,247,218,
751,102,853,893,462,652,228,276,140,967,804,146,045,427,149,525,757,933,640,
522,925,781,203,858,951,001,154,544,341,741,215,858,405,802,594,223,918,723,
665,216,272,184,836,434,097,728,282,756,613,911,712,864,333,288,664,709,054,
197,564,796,736,581,052,500,015,241,594,892,722,986,282,803,895,458,242,560,
036,910,953,199,764,010,793,106,887,192,619,809,448,979,589,265,684,607,694,
835,281,961,495,341,604,316,001,106,131,620,057,278,670,927,040,084,790,763,
585,361,867,508,881,253,206,918,828,514,753,203,696,286,561,588,193,035,190,
582,745,622,170,273,414,821,482,742,929,803,985,497,746,911,392,493,242,029,
114,532,265,112,283,284,139,857,374,106,565,026,797,476,763,446,492,748,098,
157,902,551,689,882,007,809,680,302,704,749,499,390,187,169,272,597,376,966,
531,571,319,669,035,541,361,785,719,883,116,094,159,663,514,794,666,706,289,
438,610,668,672,597,977,174,841,478,227,327,066,018,750,388,667,012,338,064,
843,758,454,305,335,693,129,576,062,013,165,295,536,044,669,602,245,088,882,
674,156,579,456,760,100,296,501,700,943,185,951,132,833,344,995,439,135,983,
871,171,823,533,858,102,133,312,236,498,064,830,939,266,448,061,146,508,682,
276,734,924,654,295,211,103,208,370,245,099,230,681,746,099,058,675,880,300,
641,668,934,043,968,764,098,765,025,239,023,036,392,618,564,410,645,587,699,
305,975,392,567,942,079,807,155,657,047,406,234,880,867,269,310,877,457,000,
902,593,951,478,157,962,029,124,437,776,864,343,208,579,934,847,706,834,284,
388,250,267,188,478,843,552,410,548,691,013,456,490,389,473,930,389,012,557,
565,270,176,763,412,624,955,346,928,044,669,733,538,482,345,172,398,223,903,
385,097,601,917,725,969,859,260,109,884,294,892,159,996,334,686,609,902,619,
946,465,596,128,080,115,238,406,825,759,566,889,483,074,871,267,693,619,390,
408,343,783,383,996,665,738,455,526,276,809,578,413,009,389,737,643,534,477,
808,655,068,629,940,149,518,779,922,550,096,587,255,085,825,717,289,573,990,
819,951,692,643,118,729,249,531,533,601,075,750,943,360,740,063,886,106,733,
879,472,972,550,676,807,629,230,331,711,549,774,757,029,267,224,570,214,501,
479,031,602,434,281,055,646,569,930,326,390,602,798,824,674,261,400,893,862,
796,808,936,567,264,233,996,437,315,038,334,322,037,434,151,159,037,454,742,
055,289,842,363,040,598,465,951,646,264,194,511,497,959,049,140,121,811,597,
725,245,430,877,780,225,383,780,519,604,774,555,015,822,690,370,325,896,986,
635,503,059,972,746,516,727,463,111,829,144,055,861,552,938,376,694,536,586,
077,241,211,482,693,237,110,000,252,416,835,883,839,618,030,573,343,886,680,
923,765,530,026,146,771,450,468,427,400,962,109,858,014,071,147,512,226,732,
920,800,844,638,778,615,512,096,407,388,750,254,677,706,389,938,319,459,505,
036,056,693,184,310,340,357,320,875,215,252,682,424,822,445,749,507,530,444,
317,889,431,311,723,161,655,909,555,330,305,171,846,824,232,444,332,985,099,
418,106,601,995,606,827,986,888,829,954,752,396,306,418,995,539,176,471,329,
074,015,854,504,645,037,054,265,500,425,726,707,195,708,431,862,977,123,363,
516,618,212,120,213,980,478,699,947,391,902,083,335,154,016,578,806,541,437,
770,725,307,010,302,456,659,814,726,391,136,408,143,143,747,387,105,434,214,
645,810,984,901,868,372,031,619,417,597,748,149,151,787,448,380,815,680,739,
317,294,322,644,379,383,075,781,190,701,259,541,707,939,289,672,280,455,966,
602,030,854,675,006,747,046,140,179,268,622,831,295,011,121,762,232,404,532,
954,355,755,200,225,975,847,123,947,812,853,361,072,667,781,639,558,604,422,
929,172,989,368,917,572,742,275,224,918,853,664,259,653,986,151,718,976,108,
319,208,117,284,169,630,240,311,778,529,790,378,306,301,371,385,757,118,072,
354,771,073,671,332,561,243,171,468,447,863,357,086,041,076,531,509,900,962,
051,185,459,190,444,314,647,729,686,150,892,040,680,949,422,419,016,320,379,
465,542,989,425,195,848,301,658,974,316,123,223,415,479,472,222,766,857,972,
154,225,403,241,620,317,523,936,519,897,047,674,242,789,350,435,308,148,237,
384,846,050,442,968,508,200,332,642,289,299,840,291,932,924,802,005,736,152,
418,929,568,491,194,026,995,599,701,457,161,552,338,453,206,041,770,315,081,
379,283,717,607,183,175,887,085,265,114,086,460,794,908,546,488,429,307,440,
754,920,932,020,526,921,271,581,510,891,404,702,088,277,485,810,398,997,475,
036,598,129,925,187,356,561,311,572,320,360,047,122,393,562,380,749,923,941,
881,860,049,012,739,298,894,685,435,572,466,566,805,224,794,812,214,584,548,
156,451,297,623,517,520,476,337,394,419,376,946,191,430,604,967,991,249,971,
267,436,717,288,724,785,616,531,035,925,982,668,079,253,217,610,893,520,568,
438,408,917,094,121,174,036,522,168,523,001,875,992,539,545,663,085,896,055,
908,807,835,760,031,432,111,856,670,783,726,504,931,690,557,456,986,088,662,
150,017,104,219,087,636,993,323,105,591,770,418,029,485,511,726,378,173,945,
632,695,374,144,112,905,982,320,677,525,604,100,404,076,144,189,356,090,026,
464,591,098,460,364,530,113,651,506,541,624,455,382,559,563,834,620,733,687,
512,912,153,451,448,254,092,739,404,507,672,519,718,449,056,909,031,359,783,
949,511,380,826,013,722,589,394,928,643,045,461,340,392,987,758,194,416,089,
529,373,085,236,428,384,421,648,996,143,870,560,467,052,177,996,201,968,796,
689,220,334,905,106,426,326,232,488,509,884,538,066,339,119,925,023,152,864,
600,054,520,388,798,416,407,630,703,597,710,801,566,409,769,218,512,746,898,
740,486,805,713,106,984,283,652,646,770,040,651,929,871,626,755,430,725,273,
978,459,221,332,707,535,230,553,413,851,840,562,569,852,613,818,569,298,852,
065,462,411,294,677,055,336,881,809,671,075,578,683,684,345,049,322,618,055,
332,609,954,303,365,435,189,557,507,835,602,781,935,684,055,220,533,889,690,
359,412,914,109,655,843,536,427,587,378,329,369,985,427,363,881,459,997,060,
035,596,731,699,495,503,190,144,638,267,532,181,970,686,856,135,650,705,226,
019,905,881,212,617,587,225,215,302,058,999,933,204,125,915,932,533,197,134,
785,876,639,691,320,999,922,990,303,425,084,415,687,850,477,631,692,276,621,
711,192,565,027,810,257,074,820,576,530,753,343,864,489,849,248,784,625,944,
665,588,279,376,009,450,327,565,928,725,299,808,603,604,259,387,504,548,091,
318,226,725,121,665,518,043,488,042,923,378,126,800,341,215,553,640,851,414,
737,630,141,048,043,024,706,804,054,511,148,533,962,520,021,558,171,640,683,
913,991,225,716,617,297,683,073,715,401,373,097,654,756,471,035,112,744,127,
331,144,626,874,015,140,730,867,768,049,052,709,015,208,548,206,657,995,718,
974,585,671,406,158,185,363,089,060,863,357,808,043,830,768,102,393,838,367,
099,959,395,566,090,768,837,071,009,678,943,517,417,246,800,927,306,543,468,
873,732,611,962,769,441,299,295,083,934,146,697,212,567,499,273,762,284,703,
350,117,701,989,853,146,828,952,082,703,729,804,986,965,234,539,148,566,560,
961,742,415,524,315,014,096,783,938,799,341,914,179,591,914,729,465,217,794,
693,843,974,577,351,021,594,037,641,724,270,339,763,043,517,927,469,300,366,
583,563,248,573,853,109,148,646,845,366,277,361,422,165,833,470,600,913,797,
603,625,549,918,460,425,940,092,399,486,509,326,565,492,051,651,943,126,795,
340,095,221,061,672,780,358,406,147,625,800,266,172,947,565,432,541,379,785,
731,728,280,953,335,472,919,669,196,913,087,975,940,188,794,688,709,637,887,
452,608,150,954,085,801,461,663,066,367,334,141,843,359,156,392,303,776,807,
645,492,394,868,614,257,041,398,807,377,359,739,124,492,599,979,183,154,783,
814,359,407,603,763,889,537,404,660,828,172,158,894,784,493,848,018,732,452,
009,823,874,106,854,908,087,917,789,166,032,126,365,455,529,767,805,381,864,
030,320,663,952,523,442,464,220,831,090,164,658,520,284,396,257,327,514,248,
229,515,904,848,331,805,594,336,721,228,750,304,239,789,686,596,971,095,781,
108,463,210,639,121,940,278,134,127,986,865,903,416,523,396,975,033,782,902,
281,944,448,880,834,819,481,453,571,799,141,352,609,561,837,211,019,810,471,
052,868,828,996,213,254,860,866,524,861,323,215,524,636,728,007,630,856,827,
794,623,715,268,743,887,315,821,303,953,388,792,539,794,585,837,666,037,832,
353,950,756,636,282,779,337,362,853,226,641,750,801,907,447,666,741,978,549,
137,718,073,664,237,215,148,733,461,109,481,240,502,483,304,605,514,545,634,
782,429,424,635,513,173,322,824,213,272,828,383,055,671,726,979,597,676,409,
254,137,332,311,400,858,951,200,748,443,901,108,327,234,233,888,851,961,275,
404,648,336,559,340,121,384,171,148,576,346,622,079,463,893,343,211,628,091,
459,863,392,008,204,894,702,092,087,737,152,921,861,063,780,077,954,985,300,
597,997,966,430,884,556,927,420,692,717,520,838,287,660,815,212,753,561,556,
169,176,887,601,201,678,519,625,579,995,170,454,773,614,793,932,247,184,367,
596,525,570,957,088,284,158,439,780,012,523,236,773,966,151,256,304,034,212,
208,356,289,370,093,133,217,396,031,901,821,427,616,864,843,465,375,783,540,
712,665,877,585,344,111,675,848,784,356,089,058,320,924,751,968,551,051,625,
467,410,549,809,832,668,619,826,727,438,135,696,505,446,241,151,993,462,067,
110,461,707,648,601,309,602,495,592,303,606,225,189,495,481,198,962,932,605,
634,209,365,128,083,890,235,890,004,800,742,368,443,296,638,727,534,417,723,
717,659,943,022,887,039,967,849,826,834,475,197,611,813,671,874,878,433,142,
190,301,155,950,761,574,665,571,341,558,736,234,890,286,494,396,806,457,026,
116,613,045,288,263,893,031,145,717,044,879,351,515,713,821,799,078,197,183,
828,946,513,267,082,207,241,976,758,829,546,030,479,670,214,302,843,228,997,
301,822,610,406,950,584,902,827,550,403,446,861,443,756,904,487,244,555,857,
690,897,735,969,372,179,285,597,659,203,472,214,355,420,691,119,381,946,546,
513,414,490,124,175,885,128,414,245,697,028,091,272,768,523,681,869,517,336,
074,224,739,617,573,037,476,365,665,251,922,213,592,069,225,067,899,421,318,
180,446,831,789,446,652,889,491,803,143,446,693,157,031,516,377,129,384,744,
542,824,699,280,412,935,273,029,102,461,139,193,856,758,146,264,114,135,553,
576,880,179,361,418,630,537,330,186,066,152,447,177,422,884,417,978,603,639,
399,757,792,578,938,547,796,516,103,314,623,871,328,479,727,678,778,162,047,
999,001,427,075,361,065,043,290,967,032,628,117,184,145,931,853,379,629,250,
586,600,410,616,911,952,519,200,688,632,562,897,218,790,627,913,312,837,350,
955,735,241,296,953,608,750,130,567,948,187,979,621,781,463,616,776,132,525,
155,233,105,150,283,596,929,052,180,828,974,394,055,595,853,702,521,505,459,
902,485,567,982,511,291,443,837,617,462,955,547,083,226,029,621,716,206,263,
592,197,509,408,351,159,987,171,707,221,908,685,760,678,382,109,482,114,157,
595,518,763,553,226,741,704,204,502,372,234,602,836,739,901,459,378,570,739,
010,621,298,396,316,422,861,362,769,443,455,185,111,663,440,202,186,453,266,
062,909,503,276,374,443,497,761,866,697,688,489,290,497,992,709,838,774,263,
986,926,044,868,798,305,736,056,373,358,427,497,201,707,537,641,905,903,816,
286,378,757,827,531,953,123,238,339,347,983,096,782,219,389,961,097,812,701,
472,510,621,367,110,291,418,981,696,592,004,516,735,642,802,491,371,012,170,
297,336,876,918,183,140,671,777,732,863,728,509,241,117,930,593,800,366,789,
785,190,872,726,503,963,356,607,734,259,274,253,772,813,551,393,071,445,049,
580,831,653,785,194,436,264,157,858,117,351,003,728,939,332,046,063,845,923,
263,296,460,521,548,651,934,405,498,098,868,430,281,697,424,578,700,392,591,
510,063,288,644,302,014,459,827,122,469,819,018,486,076,106,834,987,095,535,
114,322,739,917,741,574,109,101,726,197,836,955,632,267,192,846,539,616,452,
809,714,410,593,659,936,527,304,082,319,190,592,615,513,361,764,705,805,320,
626,205,598,404,342,711,841,567,856,774,426,314,426,350,375,294,362,476,147,
784,054,153,708,682,250,391,113,492,939,295,926,716,799,828,722,710,240,101,
435,727,356,556,038,603,917,870,032,899,912,074,871,607,662,415,310,934,785,
101,940,262,726,241,198,538,471,422,538,853,750,457,433,509,519,905,596,997,
659,604,043,343,790,884,978,021,017,308,083,906,078,874,229,908,540,375,151,
868,355,635,506,364,360,012,914,925,289,938,856,082,926,811,857,384,074,014,
604,330,419,846,017,325,320,815,064,504,176,592,907,511,943,671,710,967,597,
817,943,650,608,443,824,747,462,392,095,555,115,021,850,723,208,476,907,567,
701,265,829,557,959,022,507,709,651,011,828,891,106,088,427,320,601,120,450,
612,933,559,260,292,626,786,937,475,442,224,138,168,613,299,046,333,544,169,
313,413,636,157,256,327,983,666,328,107,984,623,060,534,341,898,208,090,119,
737,743,967,288,410,338,612,672,004,215,325,381,741,316,845,557,054,679,172,
513,961,826,032,051,640,960,705,007,471,521,474,799,945,745,934,209,232,578,
734,784,049,307,407,757,935,428,220,676,226,444,867,158,143,565,757,195,213,
690,580,303,658,371,802,370,651,589,268,022,086,877,487,226,163,497,713,627,
142,483,603,384,495,713,927,284,344,738,684,485,399,656,704,328,183,897,214,
290,509,287,415,117,676,321,820,192,171,706,705,417,866,309,771,383,270,727,
627,175,783,836,755,266,019,948,638,446,350,574,674,610,648,113,749,444,053,
552,376,952,427,622,364,157,027,435,325,239,767,810,416,498,893,108,313,647,
460,381,575,713,234,783,743,004,180,307,909,438,149,221,008,284,335,561,510,
753,156,016,609,425,476,164,119,792,413,647,205,331,173,720,146,063,561,663,
043,649,476,341,620,816,137,080,965,515,134,033,156,085,543,400,841,442,956,
713,420,792,402,241,467,772,482,209,184,027,318,700,625,087,205,003,831,982,
893,200,462,586,796,521,199,309,146,966,741,021,355,608,453,595,867,616,807,
789,246,661,555,764,041,112,069,684,606,785,297,834,462,259,957,741,126,567,
952,768,744,386,703,689,306,715,711,206,155,807,985,328,925,443,054,044,935,
008,265,177,039,111,052,876,399,251,223,963,353,973,415,293,236,674,581,363,
185,267,849,704,979,834,148,892,069,752,776,253,216,790,925,293,849,568,163,
723,035,061,280,384,567,822,797,763,548,994,663,911,077,639,243,982,905,106,
215,596,115,528,562,135,519,124,827,183,994,774,849,439,032,140,069,117,591,
207,423,562,594,716,983,908,160,720,098,275,685,005,800,285,930,479,000,454,
484,650,201,346,288,104,065,111,723,483,956,948,798,277,659,112,134,159,003,
889,467,241,072,800,626,456,121,120,800,351,770,970,047,820,523,348,801,494,
840,689,671,079,271,831,503,615,801,297,864,585,427,854,575,840,544,549,253,
573,327,197,964,006,026,114,088,284,456,919,897,556,991,540,974,438,411,381,
965,082,827,100,860,021,979,971,620,777,880,171,361,898,395,122,485,347,133,
507,882,732,576,334,586,435,199,166,736,981,980,376,984,027,907,058,315,529,
875,622,407,845,796,939,079,048,807,177,492,757,954,146,265,665,459,758,640,
428,132,231,996,489,940,119,472,217,205,228,133,262,679,707,234,268,378,940,
446,529,123,749,230,174,459,060,429,865,413,166,749,232,769,049,422,148,417,
039,098,971,278,209,408,823,023,072,443,538,281,374,380,019,400,576,755,588,
852,704,840,299,257,179,956,937,112,688,102,968,003,826,609,261,922,807,186,
256,986,900,348,052,961,283,228,857,124,553,373,178,759,949,162,099,031,545,
216,726,534,763,213,983,307,086,756,882,790,293,630,516,352,570,102,281,855,
107,759,870,351,088,087,870,232,581,714,930,128,417,871,354,583,442,549,931,
798,746,385,036,823,229,256,867,592,303,926,453,712,574,432,110,312,266,020,
763,610,477,425,278,174,498,167,748,133,853,103,703,711,096,130,150,322,875,
460,958,755,728,846,539,958,740,799,502,069,924,318,927,868,047,470,807,216,
305,827,313,577,440,639,446,454,875,233,444,149,633,186,063,038,992,810,913,
929,310,810,488,848,190,019,581,725,207,710,770,551,797,224,150,244,064,295,
260,814,254,663,223,230,218,526,091,656,131,178,265,834,720,830,104,858,124,
455,485,435,855,394,691,758,729,090,878,421,214,494,676,541,033,272,885,578,
009,170,300,069,885,311,961,163,481,042,567,836,101,792,674,662,931,594,079,
438,356,286,080,478,186,204,565,444,952,392,329,461,830,486,420,113,192,399,
804,547,609,874,937,046,601,034,815,790,807,788,542,895,133,366,546,112,263,
005,007,000,349,930,956,978,414,556,427,942,577,754,757,498,505,600,406,185,
816,431,135,488,302,012,448,353,798,592,450,764,295,122,471,107,057,356,598,
876,039,308,816,171,629,777,803,117,942,027,838,698,498,568,509,544,407,089,
663,443,618,055,376,946,206,412,409,911,667,240,323,921,772,275,329,223,559,
470,140,169,145,409,894,162,714,176,184,580,061,043,410,821,504,568,229,083,
370,839,954,859,427,860,369,022,759,491,622,921,791,538,231,520,469,676,051,
404,037,361,545,365,357,935,488,628,573,776,634,685,581,608,574,597,515,771,
364,405,109,995,475,039,665,760,382,570,259,833,122,735,576,764,311,711,739,
945,632,655,352,325,529,300,774,456,487,563,670,779,140,042,479,364,161,324,
667,480,835,200,624,490,182,026,513,612,377,564,849,029,957,407,057,733,093,
216,620,983,957,104,476,428,460,751,831,005,227,868,677,963,832,372,376,979,
390,435,057,998,504,187,179,266,717,925,758,696,719,968,122,461,574,133,646,
427,459,085,076,216,325,835,559,043,546,679,298,454,505,446,830,544,889,746,
904,170,034,341,801,903,112,871,416,938,456,680,158,987,796,597,245,785,481,
445,209,916,922,932,318,259,207,394,030,810,166,870,134,542,003,386,962,308,
868,123,827,326,532,105,501,539,609,944,165,598,757,288,932,159,076,336,250,
853,183,095,782,510,216,827,831,921,457,610,424,925,337,520,283,992,984,089,
247,981,158,747,492,160,682,117,224,381,588,527,732,147,209,301,999,106,384,
204,191,341,162,934,501,911,580,094,084,280,229,062,185,277,114,191,001,331,
312,877,697,375,875,261,237,673,117,487,593,986,877,985,882,838,459,756,971,
578,427,627,858,674,511,448,196,001,911,385,420,419,599,817,232,629,011,447,
939,699,873,464,804,531,011,105,102,557,650,831,635,603,828,449,705,998,465,
953,751,325,561,310,105,111,941,542,087,812,894,622,237,055,729,416,751,666,
483,424,601,750,433,442,652,282,301,236,964,421,499,491,836,905,086,541,420,
253,003,967,278,955,104,020,937,064,330,166,811,427,114,718,325,753,685,912,
729,411,595,542,613,954,602,040,894,962,249,774,381,531,866,334,193,047,055,
153,262,845,137,074,741,297,685,041,958,618,628,222,735,577,630,140,829,826,
780,150,417,695,977,532,569,543,900,844,915,475,933,298,189,124,062,839,685,
923,592,150,251,368,441,757,047,417,917,041,190,258,133,492,937,413,115,119,
037,500,211,149,179,350,058,205,452,040,184,942,722,281,062,975,048,925,616,
900,046,125,147,141,419,235,156,914,730,131,157,269,396,003,720,655,001,428,
984,593,981,874,611,542,769,369,356,672,496,592,437,798,865,419,692,208,229,
320,233,657,041,633,918,762,640,412,202,516,293,957,471,632,659,870,246,542,
792,731,061,955,924,341,542,633,891,633,191,151,705,784,385,835,198,475,151,
086,792,275,256,896,833,241,536,243,553,532,124,216,348,715,779,090,110,048,
662,895,621,235,671,749,445,717,293,886,333,973,845,913,595,115,579,070,374,
528,568,137,774,216,492,408,319,502,043,709,510,159,183,947,078,483,256,080,
956,662,200,098,554,680,371,405,877,579,519,614,102,410,053,732,332,061,368,
756,336,642,091,197,398,472,959,307,938,376,612,411,171,686,694,839,534,155,
677,144,597,001,671,886,460,181,307,919,318,587,913,790,530,344,232,297,928,
351,723,576,802,715,967,045,756,029,656,766,953,495,859,696,333,442,736,330,
925,607,633,273,803,124,293,345,910,937,506,529,299,170,438,391,093,284,500,
243,433,141,291,924,658,068,190,445,927,430,800,139,096,386,644,040,611,496,
860,137,979,558,048,968,280,987,217,712,246,359,161,753,535,556,838,534,655,
413,023,239,506,715,877,167,236,846,347,142,144,854,456,746,941,881,889,264,
744,277,045,144,477,128,651,916,942,476,074,118,554,378,372,521,534,611,332,
121,571,405,923,780,974,055,008,518,901,472,238,775,060,767,934,215,498,229,
448,235,214,054,465,524,027,675,717,951,959,311,810,560,473,589,502,570,726,
623,211,876,602,480,302,956,019,188,596,006,707,964,208,742,854,519,393,416,
812,928,412,864,334,908,642,853,634,596,950,444,591,127,414,334,427,750,610,
795,170,905,414,024,976,005,607,733,291,446,775,186,477,750,388,405,256,715,
737,623,834,218,892,506,810,157,379,062,803,889,977,585,648,499,829,732,077,
085,056,871,296,673,662,517,540,563,395,189,593,694,243,357,582,299,258,308,
939,059,405,956,846,878,334,072,432,095,232,355,355,453,890,995,503,409,570,
128,812,147,608,339,276,195,816,962,801,561,290,852,357,192,346,561,776,687,
069,917,611,457,211,408,404,691,094,220,239,547,987,392,136,185,220,961,001,
791,128,406,306,795,821,931,590,973,575,697,425,215,296,519,494,564,851,114,
749,953,414,240,500,625,362,001,895,717,383,257,295,141,094,715,108,441,931,
604,633,725,665,866,348,658,930,777,516,006,024,473,307,356,226,830,190,181,
867,446,227,309,442,221,882,961,833,710,414,300,247,296,686,150,597,255,217,
362,124,107,910,220,630,528,168,064,181,403,160,877,378,896,185,963,671,986,
609,964,417,806,754,884,077,773,725,565,798,765,452,489,971,697,138,579,182,
813,014,147,805,816,273,276,748,636,298,333,257,421,030,693,422,831,888,731,
323,521,649,620,671,970,084,445,103,323,680,705,044,528,905,772,799,864,199,
764,890,233,926,599,468,359,735,701,263,852,800,625,769,834,490,491,667,775,
832,255,224,387,608,758,183,677,856,833,909,568,840,401,282,675,055,259,216,
049,096,947,813,662,903,352,986,338,310,840,922,818,786,195,307,936,115,487,
121,407,337,318,362,704,866,889,547,477,540,502,181,679,877,241,714,827,325,
733,588,389,611,612,712,417,251,149,127,691,176,182,291,599,569,570,471,820,
585,859,331,437,322,444,155,820,800,135,319,926,038,356,882,827,978,134,099,
672,986,564,509,952,640,461,355,279,549,753,765,609,679,587,231,256,229,196,
438,475,805,980,231,761,213,161,884,026,094,123,277,988,533,299,105,592,550,
869,292,390,953,559,940,868,629,977,311,255,322,726,620,303,295,327,765,135,
199,775,573,586,229,078,796,262,912,281,176,085,395,481,276,515,332,974,840,
968,469,986,739,971,737,839,843,881,876,100,751,734,289,758,506,168,849,927,
832,955,775,393,373,957,295,053,997,939,152,825,287,733,042,232,991,108,869,
990,204,715,341,144,375,585,404,266,588,934,705,440,820,584,876,428,331,948,
253,520,380,821,589,442,526,258,606,359,064,706,530,078,705,241,447,964,934,
652,586,721,611,872,616,538,510,515,109,481,489,469,941,686,637,874,372,879,
015,163,787,571,054,549,977,189,631,245,010,032,142,638,517,156,134,801,720,
924,213,553,012,042,580,745,374,178,445,490,331,618,467,022,610,813,634,508,
229,979,294,928,157,172,991,459,931,350,798,949,037,199,839,666,595,227,169,
850,458,974,985,837,944,070,540,489,449,379,497,890,043,892,067,266,358,966,
289,651,986,878,198,333,228,867,041,431,028,538,348,194,396,790,703,294,940,
634,960,925,540,985,400,371,424,250,949,851,410,043,938,839,401,423,539,007,
518,384,411,686,278,361,130,999,479,799,898,911,353,473,018,225,365,172,276,
797,973,629,083,091,308,244,064,269,455,667,408,131,544,663,707,167,699,819,
387,844,263,991,758,294,770,441,955,262,324,895,824,608,639,942,055,023,770,
524,203,812,357,099,240,104,603,246,754,199,365,327,164,424,962,242,073,384,
298,367,746,359,537,231,999,665,323,087,396,129,020,554,790,942,895,927,718,
377,615,323,277,374,816,374,457,413,315,654,189,594,115,045,639,063,710,818,
740,310,508,721,031,447,001,447,526,056,319,910,048,257,226,145,814,152,180,
851,145,081,237,453,581,267,024,582,864,012,966,448,755,958,020,065,164,583,
302,785,439,271,691,079,531,123,679,214,145,754,562,780,077,635,744,386,172,
478,330,872,942,493,281,714,046,154,395,104,366,207,949,907,395,064,094,743,
552,000,908,890,714,498,892,767,158,859,553,036,037,749,742,178,423,308,949,
212,848,319,094,812,709,256,740,452,692,216,604,974,734,516,673,407,235,779,
918,259,254,004,541,196,447,825,142,810,461,756,052,396,462,889,190,852,895,
391,214,781,840,603,651,808,730,323,622,678,383,171,675,335,383,768,603,286,
295,021,863,196,450,438,117,619,808,646,981,241,137,395,513,917,274,399,361,
821,372,548,477,963,687,889,772,330,382,346,697,387,123,595,485,377,062,227,
036,567,010,588,770,304,234,483,247,126,644,261,078,620,921,951,622,846,542,
926,073,051,134,570,123,225,863,196,083,023,120,667,295,050,504,536,468,716,
416,901,239,332,100,509,531,906,831,639,596,630,186,320,733,685,833,478,973,
859,064,266,194,951,100,280,969,704,778,134,329,636,852,273,926,626,860,605,
187,537,361,670,323,494,293,604,972,352,921,465,438,566,819,825,850,142,617,
756,277,254,866,357,180,775,633,782,474,619,652,842,630,601,848,778,676,973,
408,777,806,638,293,271,850,623,344,268,811,874,374,590,696,366,979,129,839,
287,240,884,685,797,054,380,622,261,307,661,127,103,773,610,371,477,412,570,
229,147,039,836,301,019,492,677,037,020,243,010,628,149,941,145,818,141,514,
956,587,253,665,767,616,799,958,849,862,693,809,333,317,022,426,211,853,709,
737,551,344,584,873,094,079,060,968,687,273,755,903,406,344,381,691,982,061,
040,441,877,653,289,212,596,341,628,723,034,626,625,343,391,702,025,140,797,
903,573,312,273,619,652,603,369,627,967,149,645,397,750,936,530,515,545,838,
260,543,974,895,844,702,096,180,745,122,187,823,202,823,702,490,941,663,792,
838,793,458,817,147,050,577,883,474,919,324,555,255,652,584,420,942,066,229,
968,038,146,729,826,614,190,717,620,906,765,116,008,349,207,664,796,490,727,
615,667,782,262,380,180,991,166,766,884,714,017,778,148,927,048,944,628,938,
372,031,918,591,384,278,418,287,546,260,968,538,419,976,113,194,388,626,790,
901,763,233,667,713,912,207,857,049,823,138,516,935,818,257,924,551,478,216,
531,697,444,298,844,715,629,366,063,890,916,583,523,915,288,986,421,520,264,
072,771,117,326,742,602,590,160,856,403,636,602,218,217,615,816,011,176,221,
310,279,604,731,390,889,522,861,343,514,342,491,203,213,851,029,433,067,052,
961,104,678,775,574,495,282,560,943,631,015,939,463,886,965,350,111,839,807,
613,304,922,147,403,055,454,828,396,574,319,498,604,531,155,866,614,950,604,
317,012,234,866,244,814,952,413,509,765,710,468,885,958,270,464,982,656,660,
471,635,955,709,338,056,193,359,562,033,012,370,996,696,786,815,947,071,223,
074,224,294,162,260,485,183,579,124,540,444,379,171,791,754,488,343,078,279,
095,727,139,937,727,591,049,533,717,664,867,117,832,180,647,957,544,924,373,
470,253,591,286,813,989,056,814,819,147,622,040,820,596,096,936,979,680,029,
490,256,177,311,589,573,236,090,085,336,012,440,301,821,169,530,996,098,744,
357,727,496,960,697,708,562,808,267,533,324,398,574,495,981,585,289,694,843,
630,590,374,373,044,394,546,995,121,908,282,476,617,087,744,084,092,379,945,
473,590,310,023,468,757,419,944,613,705,436,010,247,215,824,468,321,348,852,
519,790,396,641,656,366,567,000,336,139,275,726,128,508,675,912,644,011,923,
444,132,080,478,002,431,712,460,997,933,664,040,690,746,681,564,328,976,450,
039,129,598,798,078,569,695,540,278,952,008,192,513,349,092,832,021,572,557,
524,912,914,947,477,639,986,554,764,100,746,488,371,971,571,139,020,146,155,
454,653,806,094,023,073,734,373,910,985,802,361,506,467,714,046,211,317,585,
307,387,103,390,398,920,275,326,372,754,616,465,758,995,499,629,071,009,803,
935,003,072,842,280,506,615,363,913,446,436,947,686,558,639,539,108,610,133,
642,127,241,546,715,264,749,811,719,038,404,088,223,295,049,207,027,741,010,
225,106,590,424,028,073,268,716,567,164,686,466,768,194,953,417,304,085,643,
131,071,651,065,983,623,458,113,711,165,595,206,804,337,345,484,411,089,217,
506,748,609,747,222,712,507,350,672,646,065,270,237,465,648,799,942,098,734,
051,274,482,302,864,956,068,467,292,316,340,513,274,165,558,161,554,137,968,
309,569,201,273,571,514,615,566,815,236,365,490,726,199,130,060,983,745,685,
172,845,394,325,599,275,047,141,553,687,142,573,276,832,370,456,142,588,186,
947,358,849,798,451,398,817,251,344,882,483,187,873,392,502,735,558,199,837,
569,111,378,373,518,104,512,540,878,827,689,292,938,002,351,704,233,937,099,
039,003,237,658,787,764,734,648,204,026,810,014,974,792,092,642,447,600,016,
447,044,329,745,256,121,029,635,292,334,214,520,478,358,104,400,620,132,947,
265,893,414,041,794,972,661,657,733,268,282,577,233,575,792,010,391,442,440,
529,104,640,873,754,207,918,081,932,231,449,910,606,026,883,363,569,102,883,
367,173,886,583,403,518,265,573,401,626,986,461,844,132,349,568,449,314,491,
905,290,707,366,498,743,837,103,541,956,951,688,860,561,763,309,761,450,559,
717,595,518,875,375,802,568,745,592,931,934,453,613,146,376,972,845,833,832,
439,054,622,542,259,739,886,314,445,801,703,563,261,110,557,696,719,536,462,
686,452,988,793,535,502,858,316,196,759,199,132,229,991,021,690,191,989,752,
659,102,774,587,716,799,113,774,741,726,380,547,667,617,763,989,740,594,288,
709,045,091,508,123,802,616,696,717,707,491,115,312,518,071,194,047,408,145,
605,920,235,159,381,409,575,659,571,303,279,766,946,798,003,015,723,907,995,
324,992,560,516,188,852,049,538,570,986,775,546,873,864,712,447,002,074,991,
787,771,683,036,299,994,999,372,167,003,139,395,295,643,639,552,524,238,837,
314,704,385,131,383,058,318,095,865,523,225,457,724,895,617,582,343,224,393,
813,628,180,501,887,832,348,023,440,030,845,067,910,557,501,444,027,315,501,
960,861,953,401,122,786,515,689,025,483,568,035,092,642,903,746,689,427,650,
070,647,285,763,956,254,724,363,329,202,467,607,238,070,164,610,271,426,015,
215,047,285,239,920,133,331,081,358,160,930,171,356,031,264,976,775,267,017,
923,019,295,096,366,784,889,045,531,290,986,173,868,586,610,440,530,431,700,
148,525,171,325,375,341,319,607,140,253,856,125,500,055,997,875,168,071,331,
173,495,498,010,232,208,630,242,901,753,690,464,911,227,226,198,836,558,499,
649,585,821,056,303,137,047,597,064,630,942,707,176,934,943,307,310,608,359,
260,570,352,665,475,685,532,607,932,348,756,377,035,187,850,763,831,042,728,
705,691,980,340,692,337,894,225,191,534,513,061,896,527,108,918,460,339,166,
219,409,692,259,191,713,225,950,745,066,344,018,821,255,860,504,412,723,143,
174,324,589,033,388,382,669,211,786,405,989,854,210,275,600,172,033,727,379,
356,830,167,748,750,742,243,175,351,954,706,580,770,223,388,898,012,792,377,
104,014,949,292,542,638,078,693,976,745,911,537,790,726,678,154,436,152,690,
096,577,776,220,695,139,587,539,334,226,042,807,146,534,249,066,653,122,730,
600,977,624,876,082,494,733,965,316,442,316,671,212,749,964,062,609,104,752,
780,221,876,056,334,836,789,651,303,610,779,868,173,258,327,326,907,544,369,
282,093,806,335,307,811,189,279,207,525,983,083,814,173,860,115,248,666,283,
052,828,697,162,522,739,622,134,750,422,451,149,865,959,024,628,417,308,240,
269,078,251,287,482,316,617,701,602,190,769,879,889,743,216,933,977,017,632,
631,916,277,680,627,443,125,080,238,639,119,375,263,007,293,992,674,202,397,
373,386,660,017,522,632,714,497,477,237,347,418,690,616,993,744,721,475,020,
094,825,604,476,685,231,565,866,348,263,629,844,647,970,249,815,295,959,719,
922,645,438,254,277,593,150,829,712,894,164,229,533,360,838,017,567,504,712,
547,255,634,446,684,081,939,475,338,158,435,609,502,705,581,791,050,273,689,
739,349,879,521,550,592,207,426,448,842,020,298,842,646,739,164,453,658,963,
240,231,297,181,474,065,399,250,510,169,973,286,638,607,229,302,278,560,957,
546,799,856,933,318,607,006,413,021,058,171,757,969,233,470,436,274,340,104,
719,475,438,636,959,946,580,651,529,348,141,929,791,468,350,396,534,478,563,
084,369,848,014,354,996,480,017,189,939,761,756,066,708,376,209,381,187,377,
129,881,021,883,605,445,799,233,461,075,861,110,622,597,619,339,264,503,923,
277,266,841,152,507,935,768,360,150,021,892,753,090,861,099,473,092,649,457,
670,994,275,563,643,536,125,980,718,524,283,388,876,101,784,946,848,083,023,
891,411,229,120,646,969,785,379,332,112,542,001,157,896,026,472,055,226,047,
773,312,800,917,156,635,775,043,612,647,256,131,494,730,162,517,926,827,623,
680,820,464,831,194,260,157,198,290,525,645,975,872,653,054,135,648,948,078,
571,314,418,717,721,535,060,693,571,581,208,631,267,652,351,869,080,353,917,
368,127,270,849,930,148,719,198,757,105,101,551,964,632,056,792,629,344,324,
646,565,305,505,034,447,403,706,193,152,285,132,792,759,177,095,121,981,422,
209,440,903,926,358,170,452,206,815,856,977,025,389,769,369,848,469,787,211,
990,239,866,017,490,488,351,547,096,791,540,664,309,417,813,111,451,917,325,
392,776,576,342,643,528,100,343,001,383,126,654,990,475,590,037,824,660,151,
125,462,009,130,275,440,289,254,813,280,733,832,532,833,938,472,233,900,880,
150,576,827,723,076,125,996,416,288,975,565,623,702,946,310,271,740,545,236,
199,157,129,213,279,237,546,098,508,037,320,549,711,078,139,773,535,297,028,
460,323,101,778,604,562,881,644,483,003,415,384,697,533,512,010,153,718,201,
293,990,239,702,385,065,240,549,954,908,181,471,204,942,321,320,107,985,839,
127,991,706,541,110,390,442,924,724,536,620,414,906,373,121,889,025,105,480,
084,417,360,942,986,848,896,204,175,845,997,942,441,555,914,393,787,087,816,
988,035,571,664,988,589,543,681,956,418,744,524,130,435,171,667,634,598,027,
902,144,649,987,429,151,901,823,371,007,719,458,902,472,357,240,624,256,324,
394,885,449,273,224,588,850,955,789,707,081,876,542,119,482,453,202,295,191,
979,840,997,549,125,380,753,388,009,667,898,810,952,444,955,422,480,674,852,
198,819,758,402,253,866,618,073,678,246,978,231,265,769,380,635,946,911,611,
609,849,350,847,783,224,647,167,971,902,838,909,714,217,546,014,235,013,133,
316,661,462,796,784,548,946,656,983,721,074,114,732,397,349,957,117,260,985,
247,304,186,117,151,565,331,196,620,696,416,996,162,402,275,473,062,429,786,
933,650,383,642,510,560,319,258,831,275,298,039,334,536,450,109,609,335,192,
526,266,809,774,453,249,430,799,329,103,718,583,920,471,133,564,857,488,193,
719,391,871,687,104,869,056,464,176,464,910,954,129,741,520,143,781,704,609,
684,402,067,287,315,414,966,172,915,220,697,041,811,614,806,775,982,767,578,
268,838,075,289,211,450,193,251,376,081,959,624,079,136,928,334,165,956,076,
089,198,617,806,182,741,938,438,543,723,791,961,815,490,002,221,954,863,298,
191,754,783,395,456,900,745,264,988,714,053,924,308,472,711,465,197,229,697,
999,116,678,830,189,284,798,702,553,534,410,257,966,962,383,875,872,280,963,
609,248,866,961,987,112,499,257,090,527,633,981,216,322,754,455,890,583,801,
267,110,670,715,366,853,513,365,189,062,544,224,075,840,980,906,470,035,089,
219,051,099,407,396,366,596,111,168,976,866,279,461,965,004,434,167,843,593,
977,563,051,373,686,138,359,538,665,252,010,379,051,408,375,559,836,529,607,
044,253,230,768,852,275,097,963,777,437,193,148,912,440,829,717,975,376,634,
448,005,206,599,086,449,409,918,211,151,710,667,572,240,287,420,759,126,375,
752,950,900,928,736,601,993,918,320,051,840,801,554,608,164,290,955,607,884,
442,610,553,439,707,176,743,855,100,596,002,104,132,075,750,149,726,921,269,
119,326,557,721,078,088,236,430,453,843,018,727,532,916,568,851,870,819,399,
973,065,800,563,317,460,036,423,798,993,938,710,488,639,237,439,118,960,303,
583,122,994,876,976,804,902,429,969,274,343,976,824,297,129,807,930,321,290,
458,641,041,882,144,367,003,188,856,283,967,204,115,518,100,915,650,773,095,
364,075,344,969,248,136,449,777,997,819,633,207,913,308,740,970,205,523,148,
146,521,404,103,847,407,784,852,095,979,581,721,236,865,364,016,058,521,533,
259,966,470,244,396,321,803,504,762,592,964,277,808,921,129,212,300,315,989,
861,099,568,479,163,009,641,264,891,470,125,359,899,981,794,400,929,337,871,
257,581,610,090,648,347,541,243,989,096,375,524,435,128,190,768,462,349,506,
551,800,302,314,076,138,790,548,970,984,713,122,259,272,183,146,579,782,202,
800,117,254,376,791,963,732,040,810,717,421,699,821,208,789,192,891,233,796,
419,643,486,244,391,441,903,597,028,569,752,207,303,704,897,838,010,615,316,
137,447,508,115,823,228,790,019,240,867,921,179,313,909,456,808,861,208,422,
102,662,958,619,323,625,674,450,395,811,577,766,592,529,336,751,409,364,926,
098,841,633,629,353,823,404,949,474,965,610,782,491,811,246,990,068,522,050,
012,524,981,530,537,299,407,232,455,726,566,609,039,828,591,134,770,720,973,
875,575,507,676,835,022,555,807,856,477,822,482,548,453,483,187,626,882,622,
118,714,378,794,747,372,307,084,750,733,076,779,480,673,360,857,582,834,377,
943,914,160,682,332,066,743,889,860,649,805,409,384,025,684,642,608,694,268,
316,996,166,210,104,631,059,604,182,714,783,210,860,102,830,744,464,098,460,
354,860,630,180,540,812,362,100,396,670,220,492,031,119,684,172,744,294,767,
450,856,888,309,179,832,311,707,663,367,196,904,106,544,028,660,044,973,725,
061,037,098,902,290,072,615,933,786,938,582,567,778,788,737,543,752,894,921,
613,312,789,775,642,029,859,929,518,219,981,462,353,646,466,829,586,184,773,
883,100,983,886,424,249,929,592,462,241,687,864,863,891,818,461,867,996,753,
594,520,469,873,945,553,668,419,626,816,003,044,973,119,996,945,365,038,871,
004,757,439,162,411,766,242,435,862,398,127,241,441,300,739,810,948,729,464,
002,354,543,858,636,610,132,005,399,403,721,993,820,832,896,572,346,505,141,
347,048,486,467,927,350,008,648,521,588,464,144,371,762,460,669,457,865,591,
446,995,800,860,728,057,226,162,199,887,426,082,626,613,009,248,544,508,522,
236,428,324,577,008,233,393,267,559,181,987,062,551,077,712,212,646,527,233,
732,456,041,941,848,846,871,822,055,600,939,797,683,144,990,759,329,396,668,
159,323,805,671,951,218,145,459,647,383,130,664,757,593,765,957,089,731,128,
865,746,941,629,167,501,962,770,216,304,139,132,676,890,541,248,928,573,953,
094,197,834,084,964,049,054,358,768,306,778,536,587,706,483,001,863,451,365,
788,199,476,476,879,031,453,770,977,987,008,221,253,322,519,677,682,938,458,
938,479,613,503,350,444,223,782,982,612,139,137,346,870,197,857,610,887,609,
990,585,876,695,112,739,950,939,258,426,726,500,405,744,990,451,997,685,505,
599,724,894,540,893,899,877,125,043,072,056,491,214,047,157,905,900,284,110,
664,206,846,685,353,791,336,569,433,298,572,952,097,094,023,247,638,028,942,
502,029,277,019,443,160,183,430,879,583,137,311,575,524,326,847,716,424,278,
141,505,295,797,699,970,912,260,106,968,793,484,871,088,666,354,508,105,213,
698,837,611,161,538,557,797,681,740,671,356,198,665,947,498,403,354,147,816,
067,594,066,307,674,640,772,047,855,647,814,555,144,784,301,889,907,603,662,
505,452,728,128,512,042,474,601,830,282,369,677,525,421,351,456,259,723,596,
907,690,716,407,101,978,522,439,869,718,777,334,056,255,894,049,721,823,390,
495,479,413,685,698,853,905,922,946,709,898,487,541,518,780,310,844,114,795,
861,644,157,568,149,550,542,158,291,984,655,915,905,689,584,470,927,673,788,
802,500,146,655,677,134,543,888,866,397,558,446,555,015,254,951,533,485,056,
668,762,353,717,192,471,540,722,070,804,020,670,447,170,197,419,322,739,303,
844,532,038,169,178,589,535,449,597,424,203,556,708,872,316,088,614,855,854,
214,482,599,247,383,953,576,829,218,458,662,539,610,538,709,472,342,206,137,
211,061,386,345,599,381,837,475,908,776,328,583,844,978,053,652,206,460,836,
969,802,620,745,864,910,314,624,080,829,270,943,687,734,860,226,927,420,371,
429,289,088,511,020,005,694,523,859,877,683,310,948,531,163,511,761,705,054,
779,245,796,686,529,421,446,683,060,883,483,058,852,276,758,454,351,664,169,
472,380,107,918,720,456,994,530,211,529,960,302,263,821,029,668,190,850,160,
600,289,522,559,818,926,972,747,909,070,318,445,615,838,685,595,375,747,364,
443,913,875,648,358,477,222,709,120,235,200,193,105,136,300,196,716,666,313,
211,224,256,746,560,584,638,845,822,272,536,493,942,185,622,642,496,472,762,
686,918,464,587,946,565,956,113,648,221,181,537,468,063,942,722,498,628,956,
955,020,005,788,200,476,863,850,875,459,636,626,438,118,703,120,676,924,452,
082,053,605,735,615,936,228,102,998,005,065,508,970,808,082,396,160,503,517,
612,166,529,896,686,045,112,550,913,631,155,450,053,952,355,325,670,847,979,
551,737,244,432,065,243,473,782,178,797,784,609,170,510,654,789,796,217,863,
713,746,524,572,549,652,889,024,820,107,085,050,618,486,642,405,677,957,980,
930,883,842,732,893,327,341,674,587,242,680,830,835,934,704,190,332,394,802,
612,754,915,195,305,019,659,431,284,565,995,922,615,782,773,544,481,589,959,
197,554,025,201,299,358,475,926,867,431,086,298,540,232,371,086,105,297,147,
625,785,379,074,011,187,827,217,679,573,218,273,363,305,464,122,075,538,875,
117,017,599,403,643,797,473,822,420,628,575,815,354,658,701,449,232,336,979,
770,131,828,954,455,344,564,243,119,455,504,120,127,937,527,125,082,508,993,
785,412,851,482,202,952,700,964,707,834,535,198,653,070,134,028,232,688,052,
168,996,645,969,969,543,077,580,438,793,494,684,050,309,186,768,454,937,838,
447,842,232,962,105,226,214,075,738,388,154,670,505,648,667,635,775,771,179,
165,204,068,474,354,010,208,730,357,173,352,447,828,586,440,359,884,301,846,
922,513,365,995,434,233,155,244,651,731,756,707,570,239,326,719,438,993,268,
565,431,973,123,477,909,119,485,377,344,267,883,059,472,478,098,798,176,284,
409,866,007,034,631,905,188,168,189,526,565,217,238,803,621,237,695,485,710,
657,462,969,531,458,516,493,087,278,029,587,876,660,195,142,778,316,408,366,
445,268,885,678,137,579,166,068,306,661,837,756,278,790,561,441,642,434,109,
101,645,807,477,411,542,516,448,293,992,386,653,663,903,689,463,800,112,247,
422,677,380,372,559,042,005,913,549,901,598,823,531,822,715,532,226,349,062,
164,676,185,280,795,080,096,680,844,654,687,534,822,547,085,475,266,916,187,
692,062,190,311,893,195,632,977,158,250,658,370,320,269,169,179,400,382,931,
306,946,860,982,267,348,650,617,656,493,161,346,535,548,345,950,566,394,264,
253,737,762,719,187,787,047,177,665,110,835,667,069,591,090,708,986,408,843,
349,567,842,517,361,155,023,797,601,753,194,734,468,445,417,323,536,830,616,
495,526,455,896,707,658,456,998,371,336,423,567,948,634,061,057,133,272,855,
076,823,180,291,731,084,964,064,286,272,852,537,725,858,440,040,725,352,854,
578,153,423,548,383,734,297,032,550,084,142,948,473,776,638,694,138,101,401,
092,289,114,814,507,847,008,165,473,224,432,522,587,286,931,999,808,182,829,
756,298,011,370,587,496,001,886,477,811,433,551,003,706,922,720,438,441,126,
963,708,684,976,003,076,643,882,512,846,246,559,124,161,556,536,239,423,601,
595,026,660,554,816,558,243,733,025,840,774,438,062,446,932,600,231,870,189,
947,993,743,361,885,260,811,508,691,367,709,544,386,896,232,426,706,367,687,
006,598,148,472,616,469,026,273,445,268,673,048,941,851,235,118,997,358,306,
145,389,888,878,370,300,715,280,273,833,845,812,520,418,358,778,595,815,612,
072,711,597,923,752,319,562,058,937,906,626,707,842,586,842,597,368,150,561,
150,788,852,936,044,329,256,557,229,411,491,011,446,031,807,086,713,273,346,
575,165,157,884,631,089,333,027,091,475,228,073,909,980,144,080,539,074,631,
114,164,530,330,301,062,838,294,452,577,319,001,437,004,952,711,157,367,188,
752,652,707,668,544,975,376,992,049,175,931,041,058,290,323,575,688,516,930,
882,619,810,742,911,917,835,010,770,104,515,815,911,880,217,745,210,715,255,
717,547,168,615,081,524,938,035,460,659,082,894,083,734,978,868,942,087,614,
976,057,800,572,199,992,258,394,165,097,384,914,102,962,142,420,728,422,468,
450,038,286,167,242,635,549,878,444,177,563,038,544,952,998,604,169,397,354,
454,895,445,572,281,297,135,890,175,503,956,029,497,596,111,585,826,132,615,
315,156,103,407,054,223,174,897,142,040,391,981,358,335,865,149,450,463,064,
144,372,415,809,552,582,503,567,719,991,214,093,824,629,486,953,349,378,883,
919,599,567,701,953,363,901,331,455,965,291,614,215,916,460,905,078,550,990,
253,276,086,464,762,767,657,846,850,769,732,837,815,972,774,911,057,443,869,
567,858,405,323,346,529,211,052,868,948,002,591,134,454,857,727,908,537,233,
355,622,530,842,377,953,886,699,163,011,355,810,049,079,932,022,456,603,581,
979,103,391,658,843,319,094,427,811,898,656,462,908,253,842,172,044,113,030,
925,170,375,976,179,791,559,956,514,852,361,316,735,905,078,234,880,668,911,
909,771,079,724,421,199,475,946,416,100,045,659,084,634,649,340,204,922,589,
339,591,181,493,934,407,988,217,520,304,466,722,149,739,098,370,283,373,326,
266,463,424,625,911,004,855,570,437,506,777,399,480,058,578,186,157,344,154,
327,394,725,569,304,524,010,525,474,682,609,084,666,797,590,095,013,772,037,
698,259,353,109,376,653,786,199,642,739,444,869,390,335,375,470,376,336,034,
889,255,837,646,904,918,513,527,075,215,265,142,061,355,001,759,237,505,271,
563,779,987,755,215,366,559,501,019,883,039,088,597,242,474,672,809,694,492,
684,107,875,161,420,192,143,779,192,214,896,648,617,202,888,985,065,245,093,
293,239,376,218,349,961,575,064,486,994,383,624,256,910,451,041,495,311,590,
110,332,011,125,169,227,785,362,903,378,462,390,935,225,295,982,753,159,772,
524,415,413,012,676,315,907,606,691,099,519,644,834,449,597,253,676,484,094,
146,590,853,140,129,881,883,075,664,375,284,811,732,576,312,031,241,159,762,
649,125,671,072,131,002,265,878,099,563,945,563,331,763,126,903,932,146,579,
252,381,320,153,896,166,812,201,527,594,222,525,612,694,033,279,854,395,615,
872,266,506,361,265,457,949,127,948,993,888,569,368,008,180,604,271,718,353,
662,655,039,222,306,712,319,702,536,178,013,463,770,052,703,405,670,382,001,
851,179,346,561,717,105,324,059,877,197,611,329,836,224,846,126,565,033,827,
276,746,681,770,154,876,111,498,349,481,623,943,510,930,601,584,039,917,993,
867,933,228,623,156,292,042,053,047,863,064,588,130,178,295,121,102,766,409,
410,848,932,603,365,080,718,982,381,454,520,923,911,587,847,876,040,584,694,
928,712,676,813,720,195,985,621,055,454,313,141,929,511,148,542,968,507,462,
305,794,801,626,169,475,443,521,078,818,845,065,251,254,402,918,088,027,199,
889,770,261,033,078,015,444,994,215,403,409,428,679,948,051,850,528,081,052,
648,617,693,746,880,541,950,175,262,919,307,998,471,040,461,055,294,033,383,
134,715,316,776,233,756,442,319,341,420,352,207,694,439,802,953,312,631,798,
482,576,352,081,199,652,604,905,871,958,868,469,706,419,846,380,673,752,980,
458,600,852,304,084,374,410,856,015,919,350,296,022,164,725,139,631,384,566,
394,507,470,034,561,170,066,222,887,465,360,466,196,858,909,486,241,898,075,
761,339,630,382,678,501,195,975,383,694,714,203,497,328,176,908,845,072,405,
899,398,550,272,174,183,956,217,578,330,042,650,767,030,953,553,869,778,000,
465,006,825,775,380,593,570,474,115,177,289,140,710,755,783,913,530,314,196,
081,930,627,561,891,361,694,362,431,612,818,912,937,702,905,361,528,995,579,
484,949,192,898,022,682,289,498,842,659,248,536,151,899,909,633,573,181,270,
933,755,886,194,556,768,066,716,117,285,635,454,192,422,555,615,507,682,801,
065,660,896,216,973,835,957,020,735,463,834,345,931,191,054,144,676,684,342,
526,281,379,878,598,456,303,993,771,530,450,616,957,922,885,502,936,117,671,
498,536,882,817,444,743,697,769,018,333,010,294,070,994,375,542,877,151,419,
000,767,205,740,056,918,330,197,198,359,257,821,516,755,361,188,915,945,231,
835,974,017,117,494,405,895,674,724,542,603,837,823,675,404,219,338,858,088,
490,801,776,901,158,255,248,790,209,518,315,004,021,574,379,252,986,165,586,
749,577,460,733,842,777,488,348,215,267,947,327,070,010,473,020,323,462,705,
295,839,582,597,774,143,260,894,142,227,633,671,942,020,063,920,909,666,122,
937,162,591,763,052,660,288,176,360,530,622,366,658,323,407,201,980,741,367,
638,314,162,735,061,847,063,691,315,199,839,354,549,165,210,818,590,906,775,
219,873,409,695,156,707,639,362,889,022,263,126,448,552,386,320,523,822,959,
690,421,164,305,203,999,051,832,227,830,967,009,311,627,018,425,162,421,837,
480,196,378,119,997,767,826,071,708,834,654,379,860,662,106,516,524,586,353,
373,305,348,001,788,838,226,726,943,866,899,152,847,235,385,177,076,908,420,
667,437,057,484,158,932,710,018,441,597,267,760,453,590,226,147,823,698,613,
012,046,664,455,361,877,463,084,444,269,605,604,182,617,913,135,217,790,850,
618,303,876,489,013,537,830,300,066,131,329,652,130,528,481,764,968,973,839,
751,617,839,071,687,716,071,677,849,615,336,889,380,637,776,484,440,647,576,
428,060,338,328,194,408,539,251,389,680,703,664,571,025,320,752,663,332,318,
470,560,783,031,956,470,698,530,792,552,301,177,759,689,959,582,251,800,436,
815,488,407,980,574,183,389,006,908,828,608,070,444,527,653,624,357,294,357,
410,656,423,694,714,332,149,074,867,466,358,309,051,964,985,815,460,955,286,
042,263,372,555,776,940,140,939,045,542,164,697,423,927,554,559,810,186,752,
264,084,179,609,461,720,074,971,893,043,168,723,526,548,617,578,049,787,164,
418,125,384,524,597,828,980,689,587,296,400,503,693,212,695,021,090,311,568,
788,803,004,895,628,154,632,315,226,510,473,795,402,138,248,487,438,962,601,
885,286,733,365,202,091,920,291,400,813,645,950,015,119,385,354,090,256,913,
331,728,728,254,409,868,833,942,347,893,864,153,723,558,655,456,220,133,153,
057,426,044,463,752,386,688,308,108,494,481,919,406,787,359,670,508,826,708,
523,732,246,330,584,959,430,903,853,885,701,049,709,478,153,674,752,699,076,
618,572,353,547,308,709,939,885,549,578,162,286,753,891,140,353,167,258,765,
867,513,131,670,834,506,821,832,657,832,497,803,973,018,305,452,074,541,159,
272,545,229,565,466,399,172,863,001,978,104,933,699,203,316,681,544,138,761,
530,544,337,312,068,033,373,672,888,993,791,626,402,612,529,124,133,955,960,
082,461,645,025,460,966,945,718,801,616,309,336,789,490,182,304,235,214,402,
393,771,116,989,543,351,818,692,374,073,818,021,278,409,167,619,532,083,243,
247,673,864,669,475,604,570,945,970,583,949,720,955,362,314,510,045,219,150,
665,073,778,855,161,899,972,119,176,932,195,754,943,395,722,489,825,438,790,
620,664,780,027,934,672,709,785,819,584,968,634,770,535,698,772,631,224,461,
058,832,408,567,690,033,120,568,939,552,575,710,482,130,659,375,672,923,878,
806,326,423,856,259,115,654,981,134,918,407,169,116,054,390,301,417,147,685,
563,466,407,012,336,076,728,534,026,179,911,252,480,189,986,205,759,786,126,
755,022,320,147,243,955,411,432,695,726,955,153,702,183,925,098,056,367,305,
865,224,962,758,655,461,529,385,143,368,271,985,942,592,736,008,450,957,345,
681,427,763,969,974,508,489,077,666,959,867,317,710,149,148,812,526,477,030,
411,717,058,912,282,474,058,760,890,649,968,050,736,872,060,339,041,418,976,
354,412,492,606,432,325,198,875,144,350,848,482,595,303,108,621,927,852,713,
853,350,456,536,683,630,116,667,037,748,807,538,999,672,335,152,458,666,598,
985,264,397,305,391,152,390,042,521,590,089,773,837,899,079,993,172,467,744,
395,830,808,396,581,001,509,980,685,434,644,221,714,270,690,191,399,805,491,
945,087,686,444,476,921,710,364,130,053,952,500,924,528,470,506,988,772,918,
007,234,601,596,807,777,013,260,960,030,186,339,098,868,649,890,172,789,355,
110,875,786,618,773,408,072,006,906,882,135,712,712,668,589,813,831,561,946,
738,630,365,187,867,369,248,592,073,326,543,324,652,949,141,885,081,351,136,
591,763,452,731,257,158,402,490,588,557,702,083,088,470,935,032,033,426,337,
570,631,812,667,919,954,103,922,010,211,780,904,016,311,649,249,206,009,560,
180,410,050,524,227,833,916,411,067,345,958,447,827,841,445,554,878,218,815,
741,763,955,887,439,962,843,475,109,644,388,996,440,213,937,923,811,819,236,
443,225,369,008,067,852,467,920,891,901,265,413,318,015,745,613,976,073,423,
403,670,472,417,342,638,151,892,263,131,164,521,955,871,828,199,306,910,995,
227,529,186,935,870,623,265,313,443,257,277,305,254,667,904,427,316,639,055,
201,956,372,611,393,530,537,433,798,418,991,085,120,743,218,050,730,096,582,
107,045,769,583,592,706,702,826,463,474,872,046,214,547,670,186,234,877,435,
098,024,636,943,614,990,298,305,096,020,574,152,882,549,053,648,375,976,901,
247,399,898,262,406,033,800,144,927,492,713,540,644,188,718,216,628,444,668,
064,255,874,554,025,221,239,710,803,218,265,063,716,828,165,320,048,603,154,
418,307,407,905,905,029,951,096,844,029,158,387,248,435,752,001,335,651,612,
251,604,215,311,219,101,822,045,792,309,264,944,938,592,976,035,837,645,674,
095,469,512,837,411,600,229,808,337,019,260,046,477,664,788,894,931,230,902,
901,301,365,445,919,493,731,758,986,166,401,632,893,889,162,633,403,282,454,
157,961,988,574,754,429,395,972,290,699,190,741,596,635,535,468,274,744,209,
963,078,034,539,012,220,760,987,897,871,254,323,585,521,895,388,057,866,867,
977,882,755,374,700,818,790,050,880,178,829,775,657,217,996,776,589,623,679,
880,868,345,906,808,323,643,469,001,354,894,852,411,565,543,898,798,569,031,
076,855,372,448,005,558,059,616,885,011,215,250,915,755,391,873,720,982,453,
392,529,785,521,419,303,539,736,058,461,166,859,465,666,639,493,762,241,479,
879,801,750,040,624,545,164,153,631,694,040,277,263,028,628,778,738,492,548,
833,945,543,303,665,215,500,245,578,064,045,939,271,987,717,898,750,175,996,
888,536,468,583,027,592,320,183,251,229,307,952,456,310,005,676,827,632,421,
602,288,112,540,196,335,154,992,910,889,185,342,665,232,374,335,350,000,904,
896,027,455,291,722,703,485,535,013,767,513,681,122,847,721,313,561,553,495,
983,107,047,341,333,084,683,719,229,430,920,397,496,883,514,907,406,690,423,
964,089,649,197,534,384,206,950,535,770,896,003,977,476,990,090,236,987,898,
685,776,491,984,699,837,587,314,806,290,110,239,262,370,411,621,677,325,537,
624,368,246,569,926,270,595,886,582,957,594,084,520,450,922,136,394,833,393,
079,390,002,755,156,124,150,347,932,872,676,041,005,272,464,543,874,323,779,
436,717,361,134,018,844,712,469,414,328,839,559,933,177,865,520,738,488,457,
181,020,500,040,396,537,253,783,610,214,833,851,344,089,969,816,482,563,713,
426,518,764,289,311,043,267,777,209,343,134,309,090,154,923,210,496,291,428,
352,722,454,490,271,577,369,195,253,284,306,405,225,771,956,475,971,512,761,
450,615,969,472,992,433,715,298,338,282,478,326,303,925,121,627,136,247,516,
359,084,673,079,074,930,005,198,881,105,549,513,848,924,478,100,808,620,816,
727,288,066,052,024,297,178,090,755,868,658,932,898,681,281,651,741,589,163,
775,202,576,106,134,806,267,348,873,834,721,680,665,292,014,713,789,606,863,
410,366,555,594,903,634,965,364,719,168,757,171,957,843,072,347,683,410,627,
307,136,309,187,400,333,186,249,558,296,256,704,097,700,744,507,780,453,283,
536,846,684,688,336,429,328,329,094,199,881,458,116,729,069,842,287,451,633,
317,370,011,327,522,547,136,090,702,892,719,751,840,755,794,665,515,177,379,
994,915,291,809,091,101,122,133,211,159,399,909,787,909,112,819,319,130,783,
402,247,087,618,755,934,352,326,733,079,933,975,256,368,726,138,880,541,718,
584,206,373,795,487,542,488,075,259,372,858,775,060,872,949,102,711,245,273,
983,254,535,374,511,698,551,307,683,444,855,342,690,781,450,380,138,061,981,
565,311,447,981,079,840,494,306,258,069,972,061,361,170,486,612,727,474,363,
202,669,001,952,227,578,593,410,103,083,062,522,155,695,967,370,839,144,371,
144,978,392,047,313,976,668,451,986,041,760,438,699,720,062,641,668,663,323,
383,264,267,545,246,300,142,864,663,177,553,564,051,128,617,083,805,821,521,
629,686,494,051,047,106,883,803,332,893,012,359,339,704,596,385,624,065,329,
467,145,696,947,090,849,857,523,757,203,935,517,776,098,837,561,144,095,199,
755,765,961,807,565,608,580,551,109,287,746,529,548,996,655,973,796,567,808,
704,991,144,698,690,416,493,814,313,950,191,629,102,577,528,986,571,558,490,
160,416,771,408,560,513,500,496,830,470,369,532,325,944,464,501,640,821,697,
055,048,429,396,489,231,269,431,725,762,558,812,216,278,406,498,329,251,728,
472,299,099,238,990,153,138,704,684,623,740,732,935,395,729,651,913,864,668,
313,981,242,195,446,217,238,417,238,274,741,927,814,123,264,853,157,013,076,
591,435,930,781,730,130,687,779,755,737,271,958,768,754,095,467,650,634,916,
055,871,019,363,965,087,714,618,707,132,522,565,638,229,554,013,846,605,600,
379,586,768,264,257,374,068,965,460,644,446,110,376,806,778,185,293,827,577,
249,129,816,635,555,719,966,819,553,479,772,022,936,202,355,844,357,858,295,
891,257,340,038,652,587,475,663,483,378,263,754,109,191,979,521,186,093,620,
131,480,225,728,871,525,379,435,877,583,219,611,579,461,854,732,094,723,848,
875,649,453,695,869,605,050,896,769,557,681,418,558,394,866,433,491,114,156,
156,563,976,166,835,173,790,202,870,857,120,622,284,801,339,156,026,606,970,
234,505,628,827,996,888,208,200,134,400,299,646,707,958,867,751,909,134,586,
216,588,722,881,585,015,856,704,277,047,831,318,930,984,985,938,026,370,391,
693,200,048,365,971,861,728,363,086,434,684,722,520,902,213,373,417,526,020,
457,650,437,409,687,866,074,412,370,583,148,739,158,542,939,574,937,357,759,
376,518,919,435,039,622,215,190,505,776,748,674,651,043,854,453,465,677,298,
723,882,488,211,004,845,966,552,790,057,465,832,739,976,779,372,117,622,183,
067,132,074,345,346,583,554,972,272,363,566,018,325,788,182,923,733,729,151,
498,420,102,250,269,516,857,901,385,844,640,676,695,627,503,136,107,307,299,
850,037,686,210,953,857,317,829,852,878,960,627,474,313,041,721,950,943,348,
895,839,249,097,038,393,529,203,025,581,710,149,421,820,319,478,840,162,926,
099,227,687,566,810,019,446,927,162,338,937,113,323,849,417,665,842,270,365,
376,428,521,380,837,693,017,541,769,175,765,049,763,153,775,132,001,660,064,
997,530,400,536,546,697,817,926,446,195,094,486,770,286,745,805,731,202,631,
932,965,876,166,828,922,770,497,370,756,438,910,912,419,558,782,516,495,516,
975,251,529,173,484,359,117,956,603,739,744,139,452,474,356,015,874,743,837,
153,458,444,314,799,038,386,147,594,689,124,467,022,672,326,154,025,768,779,
539,213,564,623,078,000,919,574,947,314,657,439,433,010,774,705,432,763,328,
694,251,920,070,894,805,672,237,620,675,017,320,505,878,029,783,042,169,927,
318,798,106,656,163,251,321,510,892,329,235,810,715,054,074,019,016,847,747,
122,526,561,383,416,592,004,160,111,938,580,931,884,383,096,123,724,707,166,
673,018,476,680,545,000,794,949,999,071,385,221,937,023,807,347,699,069,374,
246,325,861,562,184,325,981,254,584,779,603,943,355,801,561,958,886,440,085,
909,932,372,240,613,361,870,655,432,919,600,887,733,825,035,589,321,309,130,
409,803,502,388,603,965,004,290,545,468,411,568,928,240,728,858,566,539,270,
170,963,826,007,638,266,514,437,224,111,527,223,151,492,295,810,662,991,652,
385,435,748,374,723,784,104,442,017,687,071,696,646,751,625,908,624,351,372,
521,370,236,232,110,647,084,663,279,695,197,382,681,592,818,989,141,645,777,
185,714,000,718,537,303,274,124,724,300,099,018,274,515,299,317,533,111,219,
112,807,245,031,018,379,590,133,565,820,907,112,071,250,927,754,549,849,215,
972,102,088,518,756,776,907,005,033,590,567,269,332,399,325,941,806,596,595,
354,938,134,225,833,494,255,812,879,676,755,228,090,449,060,175,660,395,473,
960,456,055,018,222,682,645,713,958,484,928,060,627,003,700,690,864,791,834,
133,188,803,345,444,101,025,099,367,330,972,346,442,054,221,589,946,174,527,
798,515,591,081,113,072,363,615,006,802,565,324,354,488,674,432,862,178,207,
476,181,862,051,907,407,568,418,028,172,057,304,837,269,745,082,684,492,646,
695,929,247,960,804,387,832,021,611,163,216,520,611,458,224,495,342,345,939,
586,112,096,358,525,811,791,989,285,381,794,785,965,494,823,178,178,470,628,
757,273,243,268,185,763,660,681,222,372,015,989,883,803,017,103,911,253,215,
116,758,883,873,569,129,979,440,266,644,744,127,457,430,226,392,205,450,611,
771,522,748,867,117,854,762,518,759,602,606,453,274,024,651,466,704,182,700,
826,925,410,186,518,938,392,851,458,371,499,924,227,855,790,057,209,523,212,
175,114,785,947,653,413,107,074,868,238,108,283,117,105,637,467,178,049,015,
354,548,628,901,424,425,154,568,026,329,180,885,531,044,487,966,468,226,988,
542,110,446,054,600,044,359,487,792,731,787,830,695,571,502,628,079,466,286,
907,323,060,162,891,803,309,996,374,401,514,905,544,987,856,932,014,979,497,
819,063,326,328,206,225,996,350,630,840,581,090,864,615,166,527,977,330,045,
689,265,087,297,514,173,295,626,233,758,256,595,603,180,662,299,478,296,517,
337,205,201,510,041,934,554,297,399,587,673,932,583,328,749,045,127,447,697,
328,588,908,794,118,636,850,557,296,080,935,634,780,124,543,353,350,673,251,
033,139,716,067,646,571,416,036,756,211,744,949,715,817,262,167,333,753,918,
969,991,289,588,023,080,975,829,702,586,767,401,096,643,589,043,369,393,028,
128,936,217,105,147,103,497,912,038,925,915,246,498,837,263,690,637,753,656,
869,118,914,432,433,810,401,862,599,229,771,686,003,872,367,238,799,149,674,
394,902,372,315,395,428,150,344,312,165,659,858,999,326,489,624,300,631,205,
731,760,435,861,137,525,644,343,447,992,121,156,001,965,696,242,462,752,380,
285,507,204,733,911,369,216,095,972,073,585,547,877,995,127,397,471,315,948,
987,513,678,684,551,182,528,573,169,758,890,744,694,720,288,929,973,487,665,
317,293,501,681,099,366,057,277,649,340,166,872,370,690,686,586,804,582,174,
706,949,210,309,607,211,000,917,842,111,683,660,223,956,678,950,352,518,331,
919,621,984,754,329,969,371,728,548,631,218,608,623,999,880,387,333,341,358,
498,830,429,935,447,105,733,974,355,988,565,298,313,179,876,783,349,499,246,
200,864,301,800,776,592,807,629,803,946,552,646,005,763,117,790,022,787,121,
605,622,993,668,801,856,331,786,919,653,555,262,015,391,515,895,265,414,239,
315,198,412,462,953,726,113,779,385,429,771,034,541,512,727,619,396,089,754,
082,900,736,572,455,151,478,776,901,990,279,907,833,594,794,027,101,602,584,
317,743,171,896,097,796,819,262,176,954,463,590,931,581,108,344,759,591,085,
847,749,156,835,230,898,426,122,273,287,251,864,074,695,143,828,280,165,131,
288,665,022,000,858,715,856,565,101,230,464,871,510,262,174,209,330,224,848,
487,902,606,358,135,745,201,691,488,320,325,431,190,200,706,187,565,051,744,
254,989,224,159,510,724,681,777,188,044,888,237,935,985,793,224,846,432,827,
854,161,225,859,145,091,746,681,272,716,546,752,706,345,503,486,413,793,818,
948,018,912,594,699,768,545,317,936,693,910,083,959,955,949,128,484,782,584,
486,211,918,672,509,339,568,476,532,120,967,405,264,446,092,430,008,043,989,
567,085,161,871,192,134,184,858,224,940,124,098,586,572,908,296,337,471,673,
184,710,214,722,740,537,394,938,284,947,448,164,215,888,677,783,947,327,963,
029,254,956,503,089,009,481,256,369,593,512,979,035,269,172,267,354,211,396,
640,265,978,453,365,243,803,519,730,453,380,620,612,984,015,206,121,677,041,
724,971,715,523,422,809,363,617,989,841,605,817,784,670,866,564,722,561,230,
373,161,391,788,768,806,829,887,199,736,077,810,338,587,768,202,981,911,254,
296,638,622,758,962,841,798,046,075,278,880,477,724,235,737,208,876,581,521,
686,258,587,783,144,060,483,492,199,666,924,815,176,032,113,343,955,974,614,
498,646,327,557,998,388,033,775,423,844,725,467,025,652,117,147,020,513,803,
765,995,085,750,894,806,146,029,777,189,181,777,711,445,350,650,845,299,097,
482,292,947,536,769,469,658,151,804,311,039,871,954,775,167,450,520,167,464,
073,596,548,929,501,826,792,940,737,209,177,176,334,889,134,037,828,301,001,
705,103,615,957,942,407,381,659,639,450,634,129,995,297,376,869,392,334,209,
822,500,672,548,810,347,019,020,451,397,828,032,481,920,229,311,416,477,791,
788,326,351,199,636,638,459,676,147,885,030,779,552,529,128,354,515,021,281,
997,522,300,128,447,127,169,497,799,863,340,469,097,765,309,688,177,888,317,
064,279,069,666,760,896,955,367,868,699,905,580,004,326,624,944,857,084,436,
903,162,887,743,796,158,270,082,505,779,416,251,023,075,143,051,190,077,665,
358,903,204,830,697,067,723,281,695,485,294,535,963,078,513,260,267,014,658,
655,730,784,492,021,937,147,561,185,936,358,972,758,588,054,627,787,964,177,
493,639,494,824,477,207,177,739,332,551,132,216,400,255,294,855,295,092,125,
124,843,431,092,965,549,869,323,710,072,499,385,160,113,897,258,313,631,900,
770,217,070,105,901,659,505,849,833,966,626,630,291,875,679,228,072,677,583,
193,196,734,678,523,850,501,125,795,612,216,798,247,828,200,301,501,607,916,
660,832,607,144,488,350,939,531,648,482,481,064,111,972,665,447,267,004,107,
472,712,471,135,259,384,052,314,498,879,495,390,290,577,071,771,065,694,493,
298,094,935,901,197,485,364,651,412,534,046,231,988,697,923,886,507,515,133,
948,862,551,809,236,253,569,029,274,911,840,076,408,568,487,676,544,668,421,
506,248,631,098,287,464,739,024,359,481,519,190,219,637,145,551,784,699,743,
796,528,629,073,166,865,951,056,402,993,255,172,160,570,106,751,030,763,364,
396,806,495,132,909,993,079,314,221,205,003,860,130,807,268,413,684,701,856,
652,822,589,284,538,238,423,243,975,351,687,861,067,221,485,077,481,720,106,
749,210,374,077,836,924,107,025,453,585,862,390,476,893,084,588,088,995,091,
937,870,623,103,020,196,975,697,074,983,526,105,164,748,903,656,921,399,825,
689,719,382,959,876,842,829,046,601,293,586,335,150,644,880,971,498,400,238,
996,780,092,931,310,304,168,158,987,756,009,211,835,010,665,283,373,086,504,
540,333,754,667,695,077,150,987,807,529,489,351,912,921,545,976,344,402,078,
050,410,717,322,757,206,895,116,567,169,699,438,097,543,757,330,627,817,022,
922,541,848,063,053,793,572,514,540,369,957,965,224,235,935,570,001,532,045,
386,817,851,546,776,981,726,374,247,463,650,252,442,501,960,425,068,569,167,
031,007,493,599,314,352,940,403,443,127,835,593,820,784,024,573,479,380,840,
198,362,581,278,600,534,399,238,447,565,939,923,697,420,518,554,786,564,340,
937,998,553,867,131,066,778,537,965,100,500,570,803,021,273,671,567,744,086,
240,398,094,972,858,074,255,470,470,033,739,663,979,916,294,600,846,327,535,
780,159,686,940,873,506,839,994,254,843,426,728,368,587,874,980,003,214,087,
957,021,237,345,198,340,317,729,275,443,419,173,024,218,864,981,857,836,659,
979,006,607,772,485,980,509,764,605,187,160,062,481,929,470,943,635,152,592,
848,717,031,569,074,415,248,811,788,026,462,969,868,697,580,841,790,108,145,
413,236,651,454,321,427,758,439,165,978,932,472,662,130,993,473,358,820,580,
631,793,136,295,775,273,278,990,091,887,058,136,300,208,846,289,854,565,399,
102,634,819,630,842,858,527,417,049,823,307,625,630,357,130,689,788,178,944,
099,869,706,280,125,848,337,489,386,585,230,796,300,097,356,738,797,879,138,
645,884,614,464,258,176,049,030,931,979,773,105,002,481,299,664,386,829,520,
323,326,408,413,795,184,008,427,549,006,358,356,111,605,981,584,496,741,988,
966,881,513,040,846,345,421,308,329,797,794,057,402,877,915,763,906,670,221,
800,735,650,271,885,265,986,337,320,487,489,586,594,030,460,435,029,949,043,
802,369,846,198,341,313,672,650,150,213,458,992,371,049,063,529,866,677,534,
617,840,817,996,255,430,274,172,027,634,934,978,880,319,295,715,619,027,960,
518,765,080,767,582,258,144,048,359,769,636,219,321,850,834,687,490,670,432,
244,490,022,423,590,003,304,839,318,721,473,902,193,455,739,741,645,244,652,
814,244,012,814,875,587,266,539,528,035,150,239,468,562,184,971,789,278,362,
436,693,494,419,358,869,894,193,370,106,259,549,956,964,935,781,380,851,532,
608,036,225,419,568,020,378,981,805,104,853,920,672,024,693,659,560,178,566,
084,900,736,795,274,571,857,263,990,270,381,094,150,897,195,290,420,678,078,
795,456,294,759,529,316,331,920,016,569,045,355,357,327,383,014,191,800,069,
176,293,578,190,702,065,948,903,256,047,099,192,012,194,913,627,565,952,308,
563,996,200,496,167,140,439,198,644,429,740,110,186,964,211,548,743,897,130,
372,883,258,149,814,199,834,413,440,153,675,061,494,808,918,365,509,882,855,
483,740,662,951,657,145,867,731,007,391,772,586,771,382,883,073,661,626,002,
873,323,071,629,303,286,030,318,052,840,514,910,418,191,297,035,780,009,703,
927,568,484,698,242,601,144,671,064,891,149,533,790,941,005,053,805,364,862,
771,593,228,700,072,601,426,863,982,477,516,591,096,791,426,361,253,329,479,
363,571,382,786,954,574,005,598,352,053,806,003,510,146,491,446,928,596,392,
880,169,608,990,172,903,524,616,748,689,102,021,543,272,319,876,113,698,275,
389,243,511,508,266,101,707,881,850,784,229,579,216,983,534,232,066,504,241,
931,845,117,212,367,305,019,901,179,630,266,018,156,711,123,250,808,054,054,
139,518,148,646,380,782,816,702,546,049,493,171,353,521,548,313,101,678,351,
307,809,006,936,259,056,104,525,602,864,130,985,153,390,241,780,262,815,138,
314,992,495,183,522,305,658,197,549,030,306,582,602,277,301,765,585,398,461,
474,170,708,423,728,674,153,681,356,617,263,763,839,835,902,929,569,916,029,
607,290,719,663,286,082,229,487,759,948,671,003,326,887,587,762,482,034,972,
885,794,558,425,909,508,420,981,837,083,488,748,246,033,019,148,121,510,438,
216,588,702,594,047,308,943,695,095,945,832,025,862,374,465,320,756,498,913,
952,554,779,220,249,891,767,255,691,891,843,632,290,465,496,467,514,005,255,
108,635,708,628,435,396,582,128,338,894,728,126,117,698,942,985,375,197,451,
401,055,723,343,515,886,414,844,247,546,947,535,631,167,897,347,964,306,395,
609,578,748,231,875,524,832,201,031,357,494,441,087,631,143,637,405,376,860,
510,647,592,222,281,614,934,177,445,465,309,346,278,826,958,588,199,214,249,
301,086,147,682,570,473,378,693,289,459,525,437,262,586,375,070,736,935,461,
712,528,626,892,422,281,718,770,979,365,742,683,249,503,229,773,023,949,441,
424,922,734,425,174,987,227,332,371,317,237,015,828,767,116,864,318,112,725,
162,295,448,854,835,543,917,820,231,479,614,106,992,908,138,639,092,642,497,
458,051,659,099,027,971,604,947,345,972,966,849,929,083,855,737,122,225,859,
910,101,795,720,262,655,178,281,985,606,845,863,455,857,696,898,139,631,743,
975,794,602,834,893,251,638,645,646,537,197,472,772,141,998,005,823,354,211,
093,510,616,258,575,194,988,828,027,466,646,472,450,708,266,955,778,853,177,
544,112,822,295,011,078,691,388,627,411,224,594,798,302,581,037,617,342,261,
709,566,057,240,737,636,103,117,130,258,699,160,069,924,335,472,970,983,866,
671,262,737,271,350,878,730,177,771,889,702,499,747,626,188,519,426,913,829,
042,763,430,132,526,646,562,598,142,790,622,129,068,767,919,863,648,929,928,
843,030,343,219,799,909,837,780,359,819,487,415,727,490,824,661,640,200,939,
238,719,672,650,978,952,962,496,070,271,155,563,350,707,704,325,792,725,669,
724,828,226,564,651,465,469,131,208,528,379,741,125,307,346,394,010,344,271,
097,810,298,741,944,025,624,033,748,791,153,654,038,115,108,574,459,027,059,
538,688,669,871,957,379,563,465,160,800,874,272,799,052,475,544,520,123,469,
578,987,602,371,697,784,221,936,158,238,631,304,910,840,148,577,690,700,769,
000,333,836,769,366,347,109,407,892,861,282,247,728,751,756,091,260,099,868,
618,699,980,689,340,752,835,177,486,119,532,157,599,161,747,598,614,886,514,
876,540,781,242,626,149,864,545,390,079,959,651,250,410,433,313,110,277,066,
972,462,175,378,161,245,430,303,392,958,041,669,570,808,591,370,667,947,427,
640,204,688,965,940,183,551,478,724,629,380,723,444,118,283,897,930,345,402,
337,293,544,577,014,936,214,869,282,554,786,641,801,288,861,652,704,505,499,
396,914,486,411,403,077,096,362,457,153,126,880,509,355,966,318,983,610,402,
791,238,577,670,641,979,107,280,670,254,270,684,089,523,308,604,969,855,549,
562,686,588,796,724,271,472,677,964,408,443,824,357,059,642,889,729,660,540,
789,142,129,977,850,281,220,065,967,721,705,326,663,533,374,361,658,307,406,
293,633,130,504,773,141,682,072,263,524,146,284,749,520,971,195,701,386,688,
407,052,853,688,601,895,721,701,468,548,870,533,340,586,300,950,996,175,242,
547,231,244,367,034,139,099,265,330,916,118,667,775,189,270,329,246,879,079,
852,366,422,266,339,355,933,498,595,130,299,077,481,046,357,948,064,605,264,
052,106,911,238,268,761,442,459,382,420,713,157,122,343,668,985,467,592,720,
236,311,644,061,478,459,433,304,238,247,841,773,088,959,522,431,934,723,779,
054,678,204,363,295,790,457,113,162,813,111,259,146,142,273,272,603,343,389,
624,998,304,922,572,104,100,110,233,611,981,618,945,188,172,803,053,856,613,
297,215,605,606,595,067,658,550,619,185,353,995,180,110,950,473,575,129,628,
919,317,578,802,340,140,563,287,909,970,974,627,492,449,301,982,000,796,658,
147,105,824,796,870,938,022,830,696,662,406,800,879,615,297,154,195,330,091,
869,659,514,610,501,569,115,454,731,635,978,515,390,764,290,399,608,624,290,
314,112,881,500,039,058,470,963,881,369,077,597,142,540,506,584,219,759,840,
760,385,121,914,828,275,444,963,498,307,911,067,806,199,999,551,579,778,151,
011,454,970,091,475,856,858,738,386,728,717,120,851,258,790,335,710,612,022,
551,682,710,163,868,131,009,364,046,172,364,816,317,235,914,590,275,890,295,
151,521,942,128,705,079,260,638,516,368,564,491,783,638,000,314,074,080,852,
516,935,680,092,939,870,826,681,733,900,660,510,895,471,982,591,496,192,922,
688,244,003,369,693,408,370,292,859,855,002,024,166,171,553,618,349,301,720,
840,435,944,317,491,957,035,047,223,690,488,790,418,649,508,611,107,787,263,
808,027,785,281,489,978,422,930,948,860,087,777,651,393,545,335,213,798,014,
418,671,573,263,243,118,534,669,011,143,913,516,099,444,411,844,520,517,802,
684,025,579,810,522,747,435,994,088,223,681,887,763,407,922,590,940,279,413,
708,258,466,762,379,602,711,819,109,563,257,233,601,028,122,874,116,736,365,
780,626,349,507,431,364,930,995,164,298,261,177,480,033,889,885,757,463,440,
911,655,508,781,767,338,092,606,529,021,086,784,429,836,054,859,383,714,096,
785,887,329,462,756,205,695,369,509,901,446,195,222,240,973,748,114,883,951,
382,168,542,868,094,248,593,359,108,116,602,719,464,611,255,625,591,040,317,
780,222,337,158,123,467,388,075,213,503,339,650,736,874,357,613,821,843,558,
698,125,868,866,112,755,271,622,001,140,177,873,978,999,848,494,345,067,999,
568,231,542,368,758,126,076,058,722,271,167,269,644,549,375,773,075,897,445,
139,148,816,957,971,980,215,433,238,224,488,736,482,669,014,276,937,093,754,
542,586,814,297,335,669,367,963,713,726,245,706,506,590,910,062,891,486,115,
882,949,116,121,627,221,604,542,349,949,535,665,497,664,572,868,085,412,995,
632,474,298,976,707,217,464,042,589,816,102,163,464,797,117,787,373,218,794,
222,867,312,140,483,635,394,487,502,861,232,820,867,854,675,522,538,650,945,
757,324,475,718,604,303,373,904,428,091,060,346,877,348,998,228,712,525,933,
418,246,277,840,179,118,963,442,345,373,998,372,532,417,632,019,512,880,175,
489,277,550,287,612,589,828,672,471,273,185,711,116,889,390,235,690,009,738,
790,557,894,156,970,364,253,492,495,065,427,016,150,171,974,174,811,796,951,
790,134,986,387,310,778,709,708,535,987,451,740,490,669,020,062,057,120,597,
552,977,412,250,332,994,831,709,416,507,875,118,343,905,555,491,886,011,696,
841,164,593,555,220,824,100,231,749,956,830,977,962,405,679,075,788,925,823,
109,843,819,687,416,409,637,634,173,218,976,267,289,709,584,775,250,303,929,
912,054,059,362,456,658,077,275,439,714,591,527,735,622,670,126,230,641,708,
703,468,551,012,508,436,008,292,067,963,194,819,293,998,129,247,918,283,172,
981,767,438,252,124,344,432,872,069,577,414,999,966,094,080,346,010,470,127,
695,593,204,839,547,991,213,175,824,444,092,681,803,895,565,472,656,622,013,
162,437,788,297,086,900,982,082,594,713,202,840,140,976,939,751,864,939,899,
195,698,364,258,411,206,501,755,300,841,228,250,808,801,320,588,901,612,305,
404,438,665,600,526,097,144,839,707,857,028,492,543,701,664,949,036,209,487,
489,178,685,286,782,938,784,661,968,685,199,533,364,637,740,132,374,328,791,
458,524,807,286,020,149,918,620,303,604,800,638,663,505,860,014,553,024,647,
066,438,704,875,357,097,287,486,297,352,027,344,679,351,239,164,032,614,556,
895,848,420,632,964,794,639,071,661,042,250,925,088,573,765,938,381,357,970,
280,306,661,795,903,796,414,682,902,460,506,373,880,089,112,224,558,197,588,
229,571,725,410,076,012,258,005,207,221,077,029,792,545,810,081,082,803,648,
503,951,752,903,432,998,274,661,815,787,423,956,171,681,536,064,698,612,640,
645,196,687,316,170,320,814,194,904,910,526,675,286,481,809,899,804,935,404,
492,630,950,850,467,862,010,293,212,804,718,647,333,168,382,726,431,941,302,
250,913,579,008,707,450,202,887,210,683,201,972,138,609,614,086,913,920,736,
626,833,854,164,901,447,664,230,834,142,641,682,103,674,457,148,142,812,098,
115,198,959,333,996,262,041,367,200,047,444,221,043,461,668,762,206,481,028,
198,042,624,413,632,194,204,858,621,020,952,917,965,302,484,788,097,200,703,
611,175,810,700,898,318,974,102,571,215,976,707,506,624,485,535,819,497,581,
618,851,164,896,534,694,386,840,716,468,138,148,413,414,055,543,967,437,963,
523,851,475,877,818,981,682,727,120,147,688,975,632,539,147,994,236,519,112,
752,166,565,299,076,684,880,994,465,526,369,126,845,183,316,139,292,005,352,
742,095,872,851,782,037,971,157,118,629,667,259,127,615,315,251,554,110,101,
690,091,108,431,802,724,913,021,784,641,369,430,560,983,133,306,886,036,060,
373,664,329,105,449,166,227,442,440,476,697,739,288,895,618,753,031,377,528,
926,406,486,472,184,745,266,577,493,101,044,372,266,216,210,911,749,347,473,
949,308,052,508,423,171,123,833,648,947,619,485,078,844,327,134,202,768,054,
002,332,851,425,353,060,496,326,189,759,400,491,979,650,622,043,598,081,976,
211,484,175,344,514,216,199,199,424,618,433,708,124,899,431,675,858,113,038,
587,041,956,042,033,205,079,412,206,251,628,689,970,546,378,507,060,642,858,
047,622,478,426,355,037,304,133,397,790,634,855,753,926,856,979,828,357,278,
511,675,011,680,882,608,294,549,371,311,932,937,066,302,557,286,292,258,317,
502,391,116,704,459,387,426,936,459,273,209,921,453,520,435,463,923,742,879,
818,110,874,185,256,582,590,545,611,420,422,639,740,150,850,256,834,562,855,
678,967,174,568,407,580,311,030,728,773,101,434,682,105,049,342,947,814,300,
736,117,184,741,070,444,057,435,468,865,651,513,562,609,898,293,221,584,889,
902,760,243,867,856,818,998,119,794,100,763,031,245,895,387,427,591,574,916,
680,260,909,840,998,989,717,385,788,833,981,777,350,666,066,229,274,028,533,
489,988,309,018,945,036,672,720,545,537,747,251,724,926,722,609,543,888,735,
576,417,134,908,788,792,353,229,497,766,911,993,840,869,718,271,107,424,084,
174,705,168,230,947,952,653,103,509,271,659,853,663,113,741,289,810,825,966,
703,983,904,477,831,355,996,949,899,239,036,048,139,936,105,660,472,970,069,
948,059,791,602,152,765,957,894,059,080,821,082,758,707,103,023,107,254,120,
735,974,725,985,009,123,584,369,945,204,850,756,272,484,588,384,463,452,106,
649,644,648,755,426,510,547,271,290,417,123,604,270,637,215,172,435,812,864,
169,482,037,984,148,184,467,140,032,377,343,469,541,070,034,962,654,792,306,
953,711,758,312,027,278,677,542,533,900,809,204,958,630,264,092,293,416,621,
354,567,338,975,805,414,169,382,760,408,894,445,413,527,211,609,870,841,634,
155,044,626,581,955,614,291,598,899,690,422,259,395,109,899,900,228,607,199,
739,841,291,578,635,443,272,068,233,980,520,193,774,293,712,624,553,674,626,
321,093,888,931,958,835,587,167,938,687,801,648,484,946,812,337,843,699,627,
761,600,866,659,401,476,140,521,246,720,788,416,870,455,797,736,330,776,138,
045,016,205,660,864,581,928,438,200,268,771,678,158,673,756,669,063,112,352,
045,687,830,963,285,180,871,644,304,938,543,611,741,372,447,588,747,997,504,
207,415,652,708,693,576,816,772,804,325,998,662,343,054,369,140,965,704,929,
314,904,854,426,669,544,328,764,284,335,280,483,578,909,580,935,458,249,389,
992,900,884,815,064,739,842,447,852,215,263,531,527,344,420,715,824,748,621,
820,137,801,291,026,108,606,994,427,051,696,783,197,692,506,116,299,032,680,
669,397,377,692,408,990,121,543,696,947,795,348,045,806,172,392,547,712,567,
977,415,125,840,647,125,095,334,298,329,567,406,523,062,717,688,795,085,491,
823,734,114,832,351,665,909,863,504,918,959,594,168,417,298,646,310,920,586,
588,097,232,841,231,738,726,421,020,035,945,957,124,318,999,771,202,712,107,
979,742,366,168,917,179,633,881,401,647,549,829,595,419,772,186,911,052,802,
553,708,243,367,223,099,040,258,973,712,654,389,127,378,643,436,640,618,173,
958,030,499,662,090,660,680,002,876,795,783,202,247,607,324,747,473,948,545,
399,430,729,145,650,973,021,746,477,899,704,678,331,232,319,284,725,106,164,
449,262,068,561,394,285,765,572,422,542,941,098,481,078,448,596,911,329,459,
553,072,993,251,481,679,312,155,105,276,906,962,110,340,413,229,673,941,238,
409,634,144,429,512,526,381,726,639,066,718,863,701,100,631,952,495,491,312,
631,438,396,970,983,049,001,886,416,481,918,778,794,839,838,987,867,322,221,
215,944,679,264,597,354,354,480,167,336,631,158,225,559,043,514,093,997,917,
289,953,801,033,250,446,319,916,149,258,415,242,909,714,499,909,004,484,326,
722,504,215,014,111,166,367,257,806,851,817,563,439,867,134,265,727,818,684,
607,910,944,281,544,679,180,730,057,327,304,350,569,744,075,380,685,189,385,
517,587,921,660,368,693,518,518,920,784,031,493,355,366,270,537,741,905,604,
785,725,276,358,338,763,956,100,331,243,377,678,638,364,821,802,716,329,223,
354,741,554,233,746,482,371,189,771,718,854,577,925,094,180,257,064,460,765,
894,143,043,700,932,442,667,401,751,178,445,514,830,480,045,487,958,560,203,
058,641,218,497,367,422,026,713,329,462,041,582,833,297,582,319,143,072,280,
663,118,203,704,735,258,195,355,359,074,347,803,626,210,882,016,947,605,863,
446,471,027,206,597,376,448,638,379,935,295,117,269,777,387,594,579,490,238,
181,879,860,886,324,194,502,917,820,870,196,458,065,172,367,742,631,235,222,
381,545,349,402,856,476,559,492,486,085,648,078,615,451,927,557,889,290,106,
334,154,604,658,798,529,162,423,550,436,848,594,553,419,368,345,470,349,320,
558,858,187,087,945,179,254,414,566,448,482,965,481,243,709,450,435,048,441,
002,551,714,547,456,431,411,034,452,119,540,523,694,850,125,832,806,339,096,
607,427,744,454,602,619,843,487,235,908,998,198,306,493,467,910,891,947,802,
856,415,883,224,595,656,521,160,660,728,440,030,636,035,879,712,298,613,790,
131,723,148,590,950,588,991,593,330,683,752,485,163,928,796,763,728,951,182,
236,901,443,895,778,330,515,830,492,530,813,455,824,395,441,158,444,203,769,
164,706,368,482,386,096,079,781,201,075,603,329,027,495,664,639,679,360,415,
711,476,844,046,120,354,727,046,062,001,631,956,692,855,971,437,697,235,548,
886,888,001,175,724,973,885,505,838,528,308,490,858,958,426,233,493,708,026,
665,122,692,300,631,940,297,181,000,975,843,510,076,562,309,154,140,470,269,
361,352,475,060,595,270,795,730,993,821,820,564,642,822,748,800,136,233,311,
577,770,206,716,122,359,364,988,177,353,501,205,624,694,091,722,727,470,866,
276,083,144,081,394,016,646,241,718,460,494,132,575,706,418,484,894,358,060,
357,523,395,159,103,378,261,125,454,153,128,049,026,079,245,173,218,455,489,
188,846,245,265,616,242,416,807,110,496,359,036,998,701,632,785,575,900,052,
145,969,735,836,853,842,680,052,846,549,525,585,388,277,502,807,214,986,127,
567,851,299,397,639,661,298,361,016,397,840,161,070,835,222,673,859,255,156,
424,242,994,320,721,449,226,125,994,317,885,926,454,824,053,193,035,738,740,
551,532,767,687,081,025,663,526,306,138,082,347,469,215,292,006,807,033,353,
978,243,498,435,796,254,530,558,932,903,264,021,028,383,294,891,065,922,828,
966,160,230,944,724,934,078,091,816,388,457,329,276,832,314,096,763,800,353,
412,668,216,554,876,382,058,219,151,211,554,911,508,349,648,848,071,581,757,
875,970,800,698,175,247,830,497,413,725,271,409,946,123,757,883,339,863,572,
671,455,846,044,418,189,354,602,733,886,052,953,593,572,128,560,789,431,030,
360,597,441,539,158,654,195,947,210,190,963,467,472,276,074,326,770,719,124,
563,643,468,038,443,282,113,898,247,225,914,522,566,943,550,590,124,056,310,
651,575,706,808,910,659,010,005,284,265,681,687,394,678,786,425,060,200,344,
626,378,716,620,479,403,350,072,761,899,575,867,062,508,830,983,347,334,015,
895,675,559,590,753,091,788,825,940,324,396,094,075,994,750,348,432,361,389,
032,637,479,672,908,913,483,658,127,656,739,382,990,366,740,997,431,512,179,
685,630,695,313,751,651,436,200,198,791,372,279,948,650,407,145,314,980,545,
046,316,238,849,521,573,170,205,958,201,395,937,362,355,513,886,610,550,462,
087,831,264,910,886,144,223,883,887,301,186,638,153,628,911,244,547,935,475,
195,446,802,558,247,621,642,595,152,808,269,007,581,567,195,343,258,590,163,
779,990,703,687,972,503,119,615,272,049,075,720,468,814,224,945,097,073,103,
466,256,901,663,783,820,490,434,935,733,814,990,282,546,972,876,912,496,778,
201,159,394,225,852,040,610,029,046,097,064,841,607,150,883,640,758,000,472,
512,922,687,286,692,998,661,431,070,582,751,999,635,649,276,637,828,567,428,
270,879,410,038,812,326,193,168,266,583,656,051,043,871,659,935,990,668,480,
055,232,999,942,061,245,730,074,150,588,080,341,879,601,332,450,866,175,472,
088,343,612,901,740,376,588,341,510,934,776,011,267,303,883,282,605,043,622,
918,155,345,399,419,964,394,938,468,071,632,080,291,741,260,305,966,971,626,
196,413,892,187,278,161,715,491,118,094,650,235,911,625,770,382,157,212,506,
358,683,622,786,250,147,902,778,973,023,467,903,807,833,633,403,771,396,444,
066,183,591,380,013,990,629,049,705,110,209,999,295,065,361,862,460,866,340,
119,919,957,428,887,494,024,963,232,650,021,751,512,472,200,239,835,390,485,
554,498,518,154,236,025,534,621,104,097,400,618,367,510,118,836,092,263,564,
004,988,251,368,484,651,779,202,847,942,617,535,263,452,158,448,554,105,485,
785,911,251,424,358,169,944,061,411,459,321,304,335,602,193,130,652,554,298,
004,203,438,277,891,481,442,826,797,678,058,323,965,773,987,954,607,135,128,
327,207,325,096,425,953,865,738,895,815,720,496,368,177,671,926,840,155,866,
193,646,640,035,801,257,524,030,191,471,110,411,625,946,068,852,363,715,238,
717,748,435,549,662,608,249,129,329,703,025,453,352,247,300,670,360,151,789,
186,951,145,981,702,675,685,295,007,000,658,532,099,979,991,931,325,334,072,
471,942,362,012,274,701,299,177,691,358,554,036,168,351,671,726,821,578,519,
072,951,145,286,173,358,775,919,479,037,112,103,860,925,784,012,940,871,041,
732,176,012,996,062,998,307,975,271,296,372,122,009,110,568,579,751,093,665,
105,211,876,148,693,402,896,157,915,383,917,219,322,669,456,348,138,953,136,
044,630,323,482,894,428,165,829,563,719,375,562,332,872,402,296,287,413,227,
456,333,686,656,736,157,016,801,887,404,167,091,248,836,866,477,825,548,322,
057,610,811,463,974,511,200,904,391,864,239,406,516,258,788,146,754,513,086,
905,169,446,069,115,142,598,091,364,748,057,328,871,494,460,765,042,810,348,
783,850,841,753,892,297,737,000,102,060,196,832,366,081,933,857,856,893,052,
698,906,275,198,254,099,172,090,470,671,802,815,724,549,134,428,978,498,011,
832,708,582,464,895,352,529,341,867,076,936,731,139,447,804,895,753,121,289,
693,788,249,366,160,111,141,191,891,638,431,523,259,428,827,270,142,703,559,
636,193,663,857,009,611,385,264,258,244,109,524,460,030,097,455,442,159,362,
009,280,140,501,301,907,100,019,029,937,618,097,070,183,556,250,290,131,362,
150,149,124,396,906,025,753,840,678,738,948,848,503,479,939,311,876,203,998,
399,975,261,765,629,330,867,779,935,996,160,410,309,739,949,660,186,825,389,
132,555,885,229,846,690,736,710,698,261,529,432,651,987,308,170,283,435,428,
722,469,577,649,208,378,798,070,130,010,971,202,242,414,110,501,453,980,359,
194,219,213,158,879,893,212,355,437,096,112,311,290,939,244,470,124,762,862,
347,475,703,283,653,835,488,004,951,406,724,804,674,975,917,450,612,416,188,
745,161,779,220,677,549,194,829,138,309,183,887,564,402,359,999,299,596,125,
801,254,833,212,008,760,121,968,599,802,036,824,518,027,360,623,477,806,892,
807,601,060,528,352,636,509,347,327,776,704,566,967,117,352,282,342,479,341,
950,964,161,305,457,014,432,150,724,978,614,833,863,031,390,603,918,862,964,
848,140,792,218,985,665,448,309,349,987,855,698,965,935,823,636,732,825,535,
549,417,982,370,255,460,110,282,033,508,059,800,985,045,506,582,867,675,529,
693,941,428,635,405,424,012,459,476,144,300,923,307,960,412,580,658,071,304,
677,691,961,050,272,700,478,543,573,063,567,403,192,724,781,567,487,098,318,
145,659,345,624,733,106,403,003,195,236,539,344,104,236,739,848,894,115,797,
431,163,032,493,195,679,871,737,360,686,973,938,850,495,389,798,046,348,825,
056,931,663,615,948,487,613,400,189,424,625,032,157,810,762,629,362,968,712,
040,990,042,055,956,690,460,255,363,666,358,540,192,036,165,734,696,899,301,
850,031,330,969,849,940,386,167,922,383,819,069,098,985,691,028,277,416,293,
943,973,056,588,588,705,211,709,093,340,583,297,306,880,814,115,069,901,062,
972,353,331,499,780,227,230,504,241,730,968,401,538,963,954,293,686,956,067,
857,511,073,142,868,935,225,007,901,511,146,386,102,873,580,067,999,310,899,
908,923,834,453,541,567,977,445,613,666,121,985,048,215,808,512,277,975,526,
412,075,500,713,551,752,031,292,059,584,256,423,326,839,891,007,744,695,027,
408,596,772,995,564,526,235,564,256,448,167,093,955,505,059,980,432,260,399,
980,610,437,800,637,467,168,166,866,376,437,705,192,257,291,838,942,885,805,
506,480,710,780,411,434,248,309,412,810,713,768,275,678,847,660,621,658,184,
270,947,669,675,094,509,893,221,968,926,467,094,532,458,208,512,056,363,050,
244,434,903,952,419,716,747,740,415,121,601,960,276,348,630,432,999,042,654,
609,664,538,939,921,096,235,800,110,046,899,830,316,626,374,732,552,496,243,
627,377,285,250,243,987,599,767,702,264,782,507,849,477,909,261,602,610,234,
463,657,349,076,850,845,753,608,655,859,958,721,862,615,851,225,547,780,928,
769,315,015,395,426,503,836,169,480,092,055,093,204,311,369,118,071,570,428,
952,344,336,018,340,046,160,609,245,960,528,808,460,533,290,887,554,429,359,
239,641,616,589,434,955,949,470,236,772,588,187,839,478,441,592,341,623,213,
594,760,270,426,580,479,727,625,717,811,567,574,780,895,933,778,728,679,117,
282,249,947,293,134,350,018,485,148,961,206,406,930,666,450,491,971,451,917,
888,857,097,580,211,122,830,514,781,704,362,161,114,276,561,004,941,812,114,
792,354,661,278,464,636,502,622,596,884,521,183,185,136,922,209,486,708,283,
571,051,475,505,593,974,195,141,316,771,511,411,291,387,589,492,936,481,336,
087,359,199,577,886,689,119,511,300,237,404,964,451,669,348,943,612,448,782,
334,693,904,307,336,521,081,040,910,629,742,925,178,023,940,344,354,386,255,
364,485,901,837,934,187,167,900,947,628,529,028,992,061,593,701,587,602,024,
047,372,887,044,407,672,942,071,649,891,928,249,646,440,760,789,853,844,928,
680,744,128,039,301,043,532,025,659,130,685,090,503,749,326,659,185,006,862,
099,725,310,185,083,925,470,042,244,240,898,459,642,840,578,955,280,682,939,
212,995,427,014,305,600,676,692,642,772,661,930,467,456,816,334,486,919,601,
850,418,736,112,705,058,156,195,084,575,257,480,534,306,971,012,536,906,914,
445,914,140,319,930,751,418,422,674,593,900,217,219,745,869,507,405,216,686,
419,607,524,966,030,051,001,757,205,833,807,696,390,659,835,008,121,375,323,
534,738,145,161,528,915,853,846,872,301,053,843,258,334,047,045,657,410,663,
046,658,232,541,166,119,308,019,535,608,641,287,398,117,243,452,948,816,443,
159,510,696,450,203,407,464,298,881,529,704,222,511,136,937,065,407,290,754,
652,411,574,073,496,490,099,235,324,652,511,669,667,205,515,254,919,626,597,
458,019,517,002,324,414,572,111,319,837,613,115,919,474,500,746,973,710,043,
768,696,721,248,989,138,253,708,990,580,303,332,612,286,060,974,984,306,940,
278,430,523,015,216,316,027,389,120,407,111,864,415,937,033,199,286,275,205,
857,561,190,155,055,483,509,448,004,674,087,322,287,557,898,586,054,940,089,
245,465,490,453,115,421,890,905,829,602,675,585,037,410,178,380,655,783,139,
630,430,738,611,126,833,736,273,116,655,944,647,207,248,025,271,998,253,040,
740,745,174,344,159,642,916,655,814,018,967,828,027,670,594,417,964,123,526,
288,560,282,909,253,647,449,126,442,070,811,264,024,307,554,897,652,245,786,
575,282,031,657,706,918,414,970,805,348,558,556,778,617,903,031,022,788,298,
480,340,709,284,412,776,119,649,414,152,800,375,886,702,655,960,481,551,504,
973,930,370,881,826,731,585,164,063,143,177,498,041,500,983,198,664,362,292,
453,008,891,737,367,857,403,821,009,171,956,180,456,015,032,917,182,045,842,
133,122,019,391,448,231,732,459,723,180,232,555,191,489,630,325,936,253,676,
554,092,692,648,541,067,981,136,912,789,696,724,794,776,024,981,795,832,142,
862,929,174,099,603,989,936,842,265,347,823,941,365,840,687,687,602,652,904,
409,716,517,471,689,955,430,432,195,692,617,045,927,470,990,542,487,372,020,
126,408,817,159,772,721,340,862,019,226,277,205,735,979,599,442,259,166,012,
280,850,465,887,674,594,620,990,830,833,773,036,096,130,481,116,341,825,290,
528,555,915,340,674,299,532,682,964,885,306,470,360,413,639,799,280,651,523,
740,077,413,406,886,097,098,265,373,468,510,108,073,777,362,494,971,577,938,
813,637,925,129,335,811,699,641,939,186,325,420,736,696,344,928,741,674,487,
354,231,586,950,196,492,970,128,146,214,780,607,212,012,945,733,645,091,238,
896,697,744,415,946,051,565,293,914,240,291,699,325,513,686,730,318,042,061,
969,708,664,933,846,394,862,975,749,990,095,978,713,941,763,609,938,518,916,
643,522,296,997,158,667,379,095,970,779,746,666,203,877,136,111,115,499,087,
119,588,535,980,045,071,403,776,234,900,826,184,194,107,430,547,617,975,751,
839,765,474,291,114,068,532,550,534,886,715,196,341,365,356,490,798,612,117,
656,637,456,155,025,512,319,304,769,376,808,346,699,605,274,694,425,464,282,
586,185,202,803,629,199,261,805,253,618,705,081,349,025,066,060,037,296,385,
414,154,678,942,313,245,789,853,074,134,063,185,200,229,761,969,202,974,479,
666,733,933,479,173,068,814,641,792,774,178,931,947,303,253,874,125,826,311,
184,759,197,903,395,094,509,854,690,218,509,447,488,673,850,398,363,826,178,
552,714,431,599,662,866,278,164,114,480,998,049,616,022,424,298,878,887,341,
106,068,794,922,235,688,087,990,755,129,982,029,876,042,593,799,667,181,049,
323,013,097,724,094,321,607,443,398,847,359,516,127,212,931,486,717,354,206,
474,537,883,897,613,079,768,320,745,194,840,361,177,507,490,959,005,197,379,
254,224,851,391,353,904,666,511,372,802,661,654,631,064,613,591,417,818,862,
792,885,660,658,423,451,687,019,121,977,492,929,128,962,879,543,900,570,734,
605,455,086,668,045,305,872,462,744,271,564,225,911,654,603,852,450,753,562,
587,024,020,350,743,409,281,785,785,372,681,958,566,015,648,358,716,635,170,
681,774,586,942,521,207,954,792,178,772,176,498,041,256,810,008,259,001,314,
886,147,912,177,649,069,142,803,693,285,228,670,505,008,763,001,459,182,621,
451,069,387,161,288,239,104,127,916,010,095,452,228,798,234,065,517,765,518,
148,498,661,157,513,220,694,984,930,486,642,976,943,757,310,956,295,404,142,
427,104,650,603,981,750,294,843,084,126,743,187,306,422,128,286,460,963,370,
461,170,731,002,105,162,223,325,838,926,581,348,297,259,408,242,581,910,906,
236,083,083,812,044,076,123,507,325,897,723,150,544,424,826,852,369,918,809,
362,816,275,758,273,424,877,104,736,710,256,094,415,264,117,215,074,001,446,
183,068,747,766,318,458,206,801,687,983,607,199,056,125,272,760,898,278,843,
562,087,178,315,780,194,750,471,230,249,193,850,650,129,142,322,674,592,235,
723,163,195,600,887,674,563,032,689,134,091,100,415,956,090,323,636,434,025,
210,669,885,948,895,393,421,782,527,976,442,449,652,700,090,393,661,897,702,
331,669,147,833,759,160,220,958,861,731,167,024,225,462,498,263,898,758,599,
892,417,028,170,782,227,804,071,800,802,693,408,796,716,500,058,630,526,388,
356,780,457,377,730,991,898,578,561,305,317,725,511,873,057,075,605,941,518,
598,190,320,951,058,287,831,768,091,185,973,606,608,317,154,642,142,769,972,
753,799,502,043,791,250,227,246,371,988,220,845,583,040,567,736,140,976,574,
088,686,168,030,088,750,109,263,375,178,702,879,507,297,413,405,221,573,283,
040,047,761,964,733,558,703,496,829,949,172,930,704,156,689,446,119,410,411,
394,080,664,357,293,965,482,625,332,858,887,599,034,860,761,900,510,930,391,
117,248,406,242,242,061,720,531,465,571,586,081,453,460,229,993,729,707,485,
434,280,764,236,189,030,806,470,438,553,245,154,129,931,613,600,713,750,329,
366,116,054,135,940,689,546,933,327,232,302,213,808,037,958,678,310,313,403,
944,783,789,993,261,060,917,560,472,140,999,192,273,762,507,033,667,681,295,
533,391,415,858,741,437,955,663,272,209,769,458,693,950,021,222,376,459,276,
087,241,989,094,762,376,045,081,671,689,317,743,760,625,008,967,193,512,905,
939,712,172,290,709,807,067,086,024,136,276,319,217,975,837,765,994,933,778,
115,595,791,737,562,831,260,761,136,822,741,513,376,647,906,816,782,117,392,
261,248,928,447,436,070,486,515,095,087,399,426,386,328,706,270,239,701,653,
207,674,644,304,005,186,787,790,706,820,748,139,151,005,281,280,732,540,648,
944,499,788,139,430,944,788,327,573,153,862,287,268,291,667,915,527,991,655,
751,642,825,558,212,844,382,816,313,112,811,550,402,006,438,567,955,698,738,
209,104,822,591,076,083,842,870,002,072,981,710,691,597,160,834,821,311,478,
077,427,431,874,186,559,602,987,001,369,643,206,775,911,125,137,087,497,766,
659,540,147,514,678,894,744,607,105,307,105,105,922,858,281,401,480,743,267,
530,076,595,701,948,193,085,846,806,670,984,822,870,375,125,339,418,874,723,
493,481,937,123,627,516,981,304,598,895,912,592,691,213,733,701,199,665,152,
696,276,596,021,220,905,175,983,013,236,368,146,910,108,548,342,084,259,655,
198,578,003,848,566,405,130,774,345,694,866,150,817,873,863,440,544,400,108,
597,589,120,971,873,011,003,673,666,542,263,812,411,668,724,912,175,985,884,
749,276,185,936,264,784,004,240,941,212,932,049,320,413,142,622,959,955,356,
772,769,625,732,935,052,817,109,239,802,006,858,049,182,765,330,044,582,298,
904,332,996,397,733,443,906,150,851,658,211,558,343,773,457,453,860,554,254,
010,513,364,711,193,928,013,472,162,553,661,068,390,212,589,136,347,816,177,
438,618,900,778,934,021,520,137,524,827,718,374,203,817,585,534,765,992,017,
567,322,458,119,824,052,996,267,034,993,541,787,923,580,245,754,500,483,625,
118,818,306,308,230,111,044,289,112,558,933,942,154,653,762,260,209,049,665,
939,929,390,556,064,883,175,983,427,149,614,887,273,654,246,909,407,238,569,
957,857,652,461,324,518,673,392,603,857,841,951,178,708,593,886,623,107,225,
621,344,516,862,903,143,264,135,176,365,900,023,115,949,089,564,742,680,523,
745,590,719,867,241,580,358,894,971,117,978,193,908,328,377,525,956,530,002,
289,682,000,912,494,846,334,652,441,127,058,381,703,877,788,653,634,380,575,
130,218,344,667,049,640,146,731,238,967,952,855,557,071,731,109,022,939,473,
528,844,301,959,609,873,292,420,720,737,272,460,748,988,819,645,440,071,333,
798,738,246,395,088,951,893,258,522,487,526,439,443,056,985,107,896,651,126,
321,482,938,647,883,468,270,790,241,505,783,047,354,867,651,105,071,510,424,
251,331,433,609,501,398,363,495,200,253,603,147,014,291,641,368,541,451,327,
938,230,447,550,223,118,477,645,601,254,132,071,881,920,659,547,644,817,974,
131,918,153,188,098,071,721,402,068,021,508,167,556,334,428,616,351,835,494,
934,494,199,816,500,532,852,806,393,884,531,094,161,272,621,937,851,273,134,
729,805,797,455,468,131,326,181,415,764,381,072,520,223,132,623,176,511,844,
776,632,459,587,292,622,902,556,337,048,262,165,673,652,018,077,998,059,752,
675,647,477,395,972,570,116,556,615,910,186,719,057,712,360,647,002,658,281,
421,703,165,417,077,744,551,788,900,048,500,916,526,174,184,700,946,128,844,
716,269,315,049,087,601,151,333,194,917,517,277,567,925,846,358,179,829,155,
004,437,356,066,956,975,427,916,610,168,307,419,716,819,941,895,393,933,008,
954,057,036,480,644,492,664,584,280,234,107,226,748,935,721,181,592,318,050,
440,135,918,674,257,111,039,671,937,736,925,613,048,675,211,856,627,308,662,
293,940,395,236,877,182,381,983,365,537,472,543,936,943,794,603,417,531,804,
435,604,368,047,287,634,695,920,546,155,579,649,743,619,296,914,558,248,942,
805,456,327,397,341,330,244,606,794,779,524,255,975,017,498,139,566,911,851,
673,390,312,444,536,561,415,056,489,715,950,325,066,563,147,529,869,821,559,
024,793,888,648,539,643,605,110,566,845,754,750,869,020,558,880,701,309,162,
677,391,359,666,854,787,258,216,333,650,449,414,709,347,122,704,370,465,122,
308,623,692,215,011,354,538,880,374,420,677,016,843,036,948,200,541,279,929,
475,459,165,262,707,807,036,825,874,946,141,086,138,513,018,010,983,734,171,
767,887,822,438,235,171,912,649,675,532,303,402,680,643,511,613,222,202,090,
349,811,911,925,800,236,917,549,484,089,698,094,605,359,283,165,752,654,990,
636,216,530,370,056,232,805,280,972,268,379,528,717,498,062,102,378,632,368,
735,889,194,870,963,140,803,098,713,401,277,391,578,621,717,901,912,314,586,
702,874,860,073,463,147,777,410,104,506,445,071,637,021,236,300,565,608,933,
602,244,387,116,001,646,402,288,004,350,581,936,945,186,218,969,844,281,182,
005,827,844,153,831,333,396,955,468,060,755,812,429,191,972,392,705,912,703,
441,859,689,544,171,217,910,640,050,769,827,070,671,045,086,322,419,933,501,
977,639,846,234,282,317,087,909,101,150,469,895,782,948,986,554,883,932,470,
192,776,782,204,067,997,545,027,864,377,432,977,197,688,792,935,632,463,961,
698,675,153,010,439,276,821,725,939,888,917,407,179,262,326,062,077,722,486,
681,046,299,270,792,538,339,733,161,503,279,865,411,153,130,700,891,848,586,
142,353,919,565,892,307,415,486,302,981,089,487,751,739,065,336,683,013,397,
241,386,651,660,994,582,451,319,586,576,602,221,989,782,408,303,861,581,745,
536,937,383,766,398,148,816,392,251,062,100,128,756,905,095,484,700,442,750,
351,132,102,157,260,483,443,684,619,236,943,259,968,584,959,148,445,797,025,
415,543,857,271,602,813,262,190,755,786,760,318,169,214,944,715,434,645,839,
041,128,118,881,084,845,367,315,226,413,217,356,004,036,461,640,001,589,009,
779,373,902,636,539,187,474,777,182,833,545,156,997,367,208,809,295,495,453,
100,649,680,475,048,694,355,620,697,940,311,940,665,179,319,671,901,915,814,
990,727,963,338,798,041,148,415,350,901,586,865,060,394,665,383,041,987,275,
514,492,919,547,819,485,954,746,742,291,454,894,194,409,361,109,459,008,455,
426,517,294,921,569,899,768,545,943,060,456,073,493,627,111,246,132,104,398,
462,124,051,262,366,870,223,480,191,838,024,869,686,448,396,531,574,407,038,
194,504,890,839,551,625,544,953,237,081,591,601,072,458,249,904,517,651,647,
701,010,063,432,131,724,520,592,554,112,069,262,597,103,710,431,476,586,819,
017,256,266,516,987,067,408,754,734,459,620,145,683,183,102,029,720,820,937,
993,504,907,507,822,863,498,770,000,643,230,076,984,392,109,758,388,856,974,
429,408,331,827,743,996,399,599,432,315,690,933,711,152,608,506,535,149,348,
674,301,045,727,704,877,175,065,023,833,629,852,305,636,908,983,435,391,593,
480,212,388,527,471,646,612,921,852,483,812,708,854,512,120,956,630,226,147,
025,279,802,887,136,327,952,789,005,551,117,431,750,566,757,945,016,653,082,
931,005,345,353,152,172,149,730,807,886,549,564,367,190,929,843,044,831,396,
785,013,765,489,157,344,849,762,760,336,642,019,442,018,876,357,515,513,232,
435,653,059,821,456,750,950,953,529,042,949,555,641,583,633,098,481,028,580,
828,301,968,312,073,944,379,399,040,764,350,478,592,160,658,839,777,290,849,
145,128,190,114,698,634,907,467,159,928,770,372,400,245,382,073,374,365,369,
525,655,908,083,337,922,832,240,110,619,603,811,153,372,390,277,258,888,311,
564,106,691,338,977,700,719,783,435,482,100,029,979,592,666,312,557,596,620,
870,219,672,101,621,950,235,950,316,581,156,269,284,240,845,792,468,313,281,
302,231,829,636,991,390,527,544,785,429,106,561,749,276,840,606,679,588,761,
827,789,595,873,860,391,047,094,546,644,576,188,398,082,805,883,340,916,786,
368,640,933,215,957,951,100,951,465,734,929,885,686,257,627,518,149,842,471,
930,967,619,215,233,405,909,480,455,035,797,728,378,042,647,410,811,877,675,
471,294,257,841,665,168,997,938,766,788,379,299,346,095,377,554,243,086,781,
716,246,167,501,340,070,140,476,190,973,909,719,262,579,947,478,724,203,818,
800,998,217,059,577,272,799,018,075,191,003,844,637,511,313,901,519,757,376,
372,137,100,388,358,522,246,362,107,374,301,874,536,607,496,967,537,332,324,
524,007,038,298,295,962,822,269,273,641,760,388,586,494,727,210,359,821,290,
713,833,973,281,801,221,786,215,758,245,580,878,631,975,453,174,129,048,657,
184,820,241,459,198,636,074,724,217,332,863,426,669,869,552,483,601,973,336,
365,663,334,302,859,246,178,846,644,538,038,996,240,215,846,238,282,016,067,
028,488,558,611,148,480,703,868,834,258,444,065,016,484,356,954,168,877,474,
649,294,040,120,640,948,197,688,389,770,248,126,327,175,021,970,529,629,504,
393,761,934,908,386,283,178,947,942,110,983,358,422,175,296,957,618,729,401,
119,443,998,062,183,644,598,315,097,856,809,407,546,285,065,251,163,885,243,
453,749,133,633,863,874,328,333,504,100,091,947,550,256,344,226,192,826,340,
403,502,791,627,041,500,101,297,221,813,170,586,245,856,978,801,959,620,646,
577,638,673,074,689,259,159,105,554,166,074,053,676,847,276,280,626,224,625,
173,726,258,633,302,106,250,809,939,978,489,136,932,366,667,750,752,418,321,
079,729,982,785,325,553,626,156,712,813,107,196,704,892,662,809,555,860,565,
251,963,691,914,365,348,350,042,613,939,755,006,369,518,975,452,453,011,220,
940,062,732,676,943,114,820,353,124,122,185,017,194,447,343,391,240,121,369,
917,111,980,522,838,349,493,460,634,038,449,136,307,981,077,909,348,442,707,
332,676,465,818,877,590,086,214,456,376,556,661,122,985,803,432,149,688,526,
473,388,175,833,680,224,476,130,128,320,847,455,695,991,322,373,132,240,766,
789,856,404,611,337,427,197,862,536,804,645,377,332,804,345,144,803,771,760,
210,235,801,362,792,284,705,941,828,080,169,779,552,696,450,432,207,404,429,
830,052,700,399,387,030,003,260,151,070,203,468,636,850,755,296,748,321,082,
432,220,732,855,885,403,968,034,326,270,592,095,605,351,614,417,930,098,138,
602,941,966,606,913,064,131,839,471,198,889,660,496,939,500,932,215,227,551,
068,069,080,816,939,881,636,388,774,376,922,700,189,360,057,156,755,407,778,
596,150,004,989,093,008,597,518,133,650,167,782,250,473,456,922,338,612,313,
705,336,596,441,255,696,939,395,328,262,221,085,985,522,508,726,042,741,495,
493,205,071,463,089,581,666,881,602,461,013,986,507,586,741,315,090,829,761,
195,886,253,616,988,505,282,135,397,990,456,157,761,797,613,947,257,584,470,
698,528,968,891,817,447,672,150,900,826,005,761,186,092,344,622,607,398,774,
113,203,812,855,092,025,706,855,929,995,507,199,583,421,633,629,789,228,785,
141,310,586,946,274,646,981,516,103,317,137,693,092,006,725,277,917,169,792,
499,650,359,168,503,028,684,895,380,619,111,722,406,469,932,146,493,601,592,
756,565,549,266,313,143,628,143,017,885,521,006,951,516,094,637,405,691,372,
323,320,389,057,074,704,348,802,334,724,765,268,778,910,683,885,872,263,957,
363,863,959,286,789,710,598,563,743,376,066,135,741,414,504,038,700,347,656,
041,816,369,899,537,365,633,001,282,969,610,526,746,541,341,964,571,409,522,
887,994,496,531,592,449,710,424,089,281,999,519,330,931,675,711,764,164,607,
999,727,225,635,231,548,484,712,720,883,005,591,095,800,818,662,065,887,375,
981,352,116,077,170,535,917,093,734,232,690,495,694,005,454,972,445,414,953,
133,977,498,301,915,393,270,672,103,866,500,673,690,980,970,541,326,904,442,
909,954,500,212,263,674,912,916,299,983,286,970,473,329,006,938,679,514,643,
434,730,037,066,858,471,817,232,614,151,708,845,120,737,546,666,134,971,574,
893,567,420,590,221,335,480,891,241,514,717,782,765,797,252,576,276,687,193,
572,897,529,317,312,855,968,812,365,664,302,065,518,303,079,249,862,349,005,
395,662,326,601,486,904,958,711,984,492,676,435,416,034,743,030,192,852,360,
120,965,947,025,004,435,665,094,769,082,229,899,389,653,938,051,590,961,586,
631,148,029,558,430,415,660,391,368,729,265,706,324,221,903,121,069,534,050,
994,146,184,064,057,163,297,380,493,403,403,430,982,261,265,364,768,261,598,
381,992,467,758,864,676,196,172,923,369,866,060,091,980,044,929,181,290,189,
924,177,796,840,659,046,789,113,220,018,489,887,948,495,679,162,450,216,381,
399,811,771,622,839,330,489,072,660,048,903,334,312,509,578,821,216,952,839,
866,883,556,913,583,272,629,554,740,096,910,199,258,002,238,478,696,113,593,
760,954,043,208,091,125,947,679,836,784,318,417,050,562,041,890,067,555,426,
047,093,659,219,497,822,580,573,032,397,842,861,776,976,004,157,378,203,287,
271,129,043,434,459,229,830,917,799,178,979,756,917,642,163,331,016,411,851,
979,923,886,132,238,818,150,185,782,251,864,747,171,256,339,079,184,263,994,
371,755,705,468,390,805,583,568,524,235,494,470,507,413,535,926,808,167,028,
668,750,954,257,169,706,585,576,110,139,641,775,170,471,497,181,945,688,644,
640,003,159,875,250,335,726,413,104,699,846,825,244,155,662,733,126,384,867,
437,767,115,231,963,974,867,572,317,280,554,476,203,493,502,007,071,832,145,
702,217,686,961,203,066,521,987,327,654,236,889,105,632,815,494,927,270,400,
381,494,747,715,702,713,754,930,395,054,408,559,543,348,011,605,198,480,290,
351,257,375,186,859,090,602,316,287,147,415,930,585,321,126,660,391,383,573,
234,852,731,931,322,642,516,133,473,277,118,892,086,177,340,876,006,622,244,
295,835,645,280,967,918,200,708,931,858,937,864,650,120,482,077,872,775,012,
851,968,887,485,784,799,868,199,250,503,474,382,604,090,268,184,698,055,145,
710,890,889,096,741,333,353,411,587,543,391,198,174,608,558,712,029,979,091,
418,225,040,177,779,165,328,199,763,669,581,659,740,633,804,638,702,778,944,
068,601,979,019,984,806,149,754,078,086,912,880,631,364,667,642,668,055,908,
261,635,510,698,515,283,873,154,480,507,225,103,705,517,740,760,747,543,125,
958,428,689,966,740,084,906,332,724,694,557,847,553,395,096,806,598,927,145,
509,962,136,939,023,908,686,764,341,621,896,273,951,345,479,382,898,850,803,
139,566,673,089,985,458,026,842,218,396,762,285,374,259,941,288,344,946,894,
718,556,200,363,384,122,398,205,007,046,159,595,957,675,803,504,070,834,847,
139,474,231,997,064,185,283,491,570,138,001,584,454,299,661,917,182,966,644,
678,839,464,260,039,052,309,669,227,396,148,840,973,653,468,110,107,695,315,
869,783,276,862,019,093,817,773,889,848,042,563,155,776,559,266,808,866,634,
566,692,468,416,696,054,549,811,140,230,928,910,490,570,335,263,049,529,650,
188,664,076,059,736,074,562,923,488,733,220,114,509,236,399,813,611,318,986,
653,427,884,676,791,818,279,368,754,896,007,986,486,212,531,839,010,500,729,
846,146,862,370,241,493,459,680,175,017,958,932,060,601,188,032,246,680,073,
342,372,899,134,632,962,527,285,832,485,618,261,947,798,222,206,935,874,605,
410,667,280,065,607,569,524,004,736,970,264,611,234,064,503,642,066,063,896,
399,141,866,307,581,507,054,292,861,796,764,446,940,756,731,922,032,982,246,
123,287,286,402,105,292,092,097,889,915,164,875,343,490,015,891,347,290,170,
324,523,932,646,505,487,825,110,697,933,360,457,138,872,671,169,988,001,395,
642,589,571,572,914,274,603,778,652,024,947,531,802,993,401,727,559,474,808,
336,140,233,277,935,114,088,197,377,393,915,975,290,612,433,657,660,392,396,
903,512,529,595,869,215,778,547,813,236,361,327,564,865,297,238,616,332,533,
429,905,987,096,043,749,786,565,188,052,877,595,014,978,036,937,934,339,747,
896,401,902,254,830,998,491,748,003,199,453,712,754,834,456,595,822,622,598,
292,782,563,647,186,507,027,264,296,385,850,762,364,915,937,994,970,349,859,
449,229,383,192,587,032,113,912,617,722,723,767,289,728,742,446,132,521,967,
247,576,662,234,478,856,954,017,751,887,430,996,998,662,785,371,945,148,926,
855,027,026,058,085,525,931,089,128,476,687,938,671,108,260,221,018,620,796,
568,571,334,703,468,421,387,204,070,770,069,914,714,373,894,806,799,452,399,
310,051,290,947,379,014,765,013,162,687,266,213,677,521,586,521,819,240,418,
382,633,321,920,455,717,449,014,411,673,648,930,590,822,623,665,186,410,764,
210,266,260,267,929,679,479,748,533,847,256,661,497,445,476,794,881,713,573,
599,717,078,831,080,467,141,710,799,130,253,254,045,322,274,595,382,906,341,
429,673,007,693,166,228,820,660,980,126,955,291,675,714,607,253,691,763,880,
856,333,404,918,836,250,521,354,866,663,378,591,261,306,347,657,423,352,798,
608,821,664,390,265,921,260,529,060,747,679,021,206,199,874,020,411,760,129,
328,721,671,990,790,111,555,592,063,858,039,592,927,310,746,269,987,561,232,
232,993,153,809,012,839,959,651,053,558,123,594,423,839,427,230,216,342,284,
237,986,233,809,310,855,992,992,475,783,369,741,884,044,748,697,505,957,766,
827,888,232,225,400,988,942,975,056,227,100,215,009,936,773,636,464,421,163,
213,637,111,580,776,120,122,861,130,514,834,566,291,296,815,435,110,162,926,
211,780,420,801,351,502,530,493,288,453,167,826,161,227,678,486,277,217,621,
255,695,185,209,033,913,486,499,346,033,512,086,780,627,365,034,889,547,727,
213,841,575,655,146,234,261,661,107,167,593,709,421,522,603,566,481,627,806,
517,535,467,695,310,085,547,550,858,629,851,666,356,821,926,183,364,471,171,
507,650,478,745,740,079,323,781,163,332,617,498,383,311,300,162,027,932,821,
412,681,649,249,698,211,814,415,639,381,333,469,153,995,562,250,595,638,541,
713,940,714,299,347,283,449,005,160,271,011,876,477,807,588,747,402,828,495,
393,114,858,891,518,930,546,056,970,410,074,410,674,401,245,756,246,317,075,
305,546,216,778,225,713,256,961,113,522,552,993,313,751,720,529,161,088,634,
010,485,464,857,974,042,045,075,680,740,300,810,307,232,362,349,639,859,241,
215,651,221,133,907,898,529,716,131,530,113,707,903,031,210,331,032,888,401,
473,281,117,799,392,593,959,531,708,971,311,715,225,382,667,823,274,980,950,
824,315,597,261,164,125,857,970,622,920,158,869,770,756,647,189,138,142,231,
501,636,778,519,949,145,392,972,324,245,720,125,124,433,579,790,793,174,688,
871,029,466,865,913,336,319,298,595,841,447,649,452,707,734,913,785,987,141,
937,382,350,722,117,909,855,393,617,079,674,977,612,230,447,447,772,689,762,
315,253,514,044,259,005,614,654,239,532,909,365,529,203,506,749,869,597,209,
799,706,589,161,786,138,709,095,744,996,959,046,881,593,591,953,424,286,521,
195,054,612,304,986,438,916,339,850,092,889,112,965,893,603,855,442,810,765,
793,465,177,205,232,704,810,893,834,756,996,475,981,388,028,574,646,488,294,
520,657,129,428,492,989,482,035,771,499,993,032,691,290,948,335,423,913,489,
578,017,216,084,827,272,624,711,153,373,637,765,464,463,571,618,244,729,436,
673,496,870,288,092,768,763,665,295,968,441,944,240,115,165,220,756,078,732,
518,952,821,949,922,040,067,481,629,447,055,270,077,885,987,213,910,406,672,
465,319,841,516,295,884,408,660,183,980,177,897,735,877,332,407,958,940,313,
913,535,584,590,617,968,271,472,249,625,843,228,842,032,350,282,487,894,123,
275,854,831,885,028,591,487,086,463,418,610,237,495,736,758,778,118,323,795,
704,488,933,341,076,134,807,785,669,430,776,699,332,904,232,187,433,518,464,
223,391,385,554,323,851,878,874,029,083,458,547,230,390,242,292,177,560,239,
489,500,362,796,704,996,586,846,086,385,940,010,232,897,143,335,782,511,003,
762,359,454,644,774,225,205,628,595,294,099,079,147,549,664,840,337,140,953,
015,172,006,465,651,904,947,249,787,202,219,641,061,480,275,096,624,083,191,
516,359,250,016,013,902,427,065,647,282,872,514,192,334,199,440,329,446,564,
725,867,267,534,353,784,122,235,046,830,825,611,295,121,004,618,601,572,786,
248,556,602,658,521,641,963,413,963,450,606,077,738,741,021,256,920,238,552,
915,376,218,314,611,261,466,006,364,986,077,174,989,647,269,278,490,938,844,
450,232,155,284,193,691,106,844,726,649,178,286,993,503,356,840,850,644,580,
232,307,783,224,477,440,982,554,695,617,291,315,878,797,616,530,386,190,548,
560,464,326,794,534,957,556,122,152,313,842,260,282,375,013,602,548,902,066,
408,541,597,107,715,850,405,006,103,669,299,673,240,489,884,557,067,328,913,
576,698,438,791,788,660,265,171,157,240,291,321,428,802,087,241,981,211,392,
271,786,751,022,664,840,532,894,788,650,778,799,841,419,993,453,291,668,906,
626,100,366,051,981,384,794,091,068,094,790,532,681,921,621,216,115,385,970,
031,728,760,687,402,039,899,529,236,243,385,529,444,451,099,398,202,702,667,
934,111,976,757,817,318,711,078,797,877,944,610,643,406,390,700,100,191,748,
161,925,829,978,985,009,624,201,489,106,868,559,858,283,439,728,893,209,950,
507,559,525,517,528,548,818,890,291,785,111,719,064,310,759,358,068,877,118,
660,890,123,902,154,584,368,920,233,844,801,969,050,663,792,805,056,748,489,
082,733,890,782,667,326,235,681,685,653,340,128,084,617,308,119,792,643,674,
871,694,962,889,706,910,507,219,639,767,577,313,611,409,550,522,065,506,733,
625,067,042,924,727,683,059,410,814,653,425,746,468,015,721,121,280,288,841,
356,292,357,203,298,099,695,413,545,810,720,930,472,482,891,733,209,662,752,
846,985,768,169,792,684,681,381,935,984,457,660,069,535,999,028,420,175,664,
878,769,549,465,122,804,220,560,360,670,003,786,011,635,786,152,652,453,882,
319,775,847,460,688,018,176,420,023,916,437,673,462,196,804,017,508,038,504,
990,411,681,313,530,127,484,706,658,803,617,421,034,928,264,969,334,768,040,
306,921,114,374,189,212,406,312,873,591,460,159,381,436,031,810,118,236,767,
801,569,026,228,061,906,899,995,568,774,989,286,496,391,018,555,926,377,456,
395,786,992,792,291,786,783,243,942,207,407,566,582,739,807,731,747,938,672,
838,269,980,261,568,288,172,235,956,645,693,536,058,926,499,082,557,360,804,
649,074,249,230,801,075,111,860,261,069,601,974,504,746,646,998,996,541,639,
645,051,952,785,707,279,933,486,318,827,911,563,043,535,481,387,314,107,517,
508,413,567,506,561,440,970,190,754,858,589,641,256,686,746,555,439,544,456,
778,252,432,480,391,980,811,115,494,228,799,898,221,714,226,364,815,394,014,
196,971,617,402,972,965,082,804,218,391,583,626,796,262,461,146,432,731,694,
830,288,414,653,303,314,959,274,690,155,775,161,722,279,290,234,762,948,391,
718,688,911,817,191,674,964,833,352,758,944,883,123,569,392,742,732,055,051,
758,123,482,618,880,950,676,381,210,183,610,639,553,871,985,793,684,303,121,
480,713,332,266,411,131,702,744,945,496,222,835,750,942,127,252,153,686,269,
468,022,870,202,400,519,758,113,563,750,319,395,632,282,575,291,270,814,562,
157,901,456,123,129,930,703,136,249,314,713,411,316,999,476,976,528,656,599,
160,455,389,948,654,709,922,840,824,747,410,277,457,289,716,477,765,494,127,
189,281,032,834,555,039,952,499,774,087,657,585,474,208,558,157,968,461,394,
077,971,101,555,276,078,699,329,270,592,958,931,340,319,109,447,352,834,329,
109,775,166,133,203,453,079,019,509,303,096,941,303,319,266,227,743,901,316,
893,199,852,798,733,741,419,533,172,129,110,739,850,303,102,215,358,187,877,
479,299,884,406,055,620,483,969,780,894,908,098,432,331,811,898,655,420,651,
533,638,090,698,185,865,511,740,780,406,946,834,549,921,580,951,820,778,751,
371,721,942,610,392,285,038,756,478,471,357,759,383,000,729,652,570,985,786,
036,159,715,766,986,038,048,516,759,060,290,159,996,255,284,999,126,107,367,
488,807,762,691,026,696,334,689,649,115,435,964,345,576,318,817,075,432,880,
144,847,444,293,265,304,589,684,489,337,196,195,762,379,163,211,261,509,835,
752,089,192,399,479,142,895,571,222,006,683,465,927,728,668,565,936,518,990,
885,546,512,139,809,821,306,673,567,404,218,165,274,585,641,396,191,960,484,
324,062,551,137,267,265,260,945,900,987,661,973,097,403,228,937,352,010,372,
441,253,507,238,427,336,765,616,647,089,799,497,544,983,303,490,955,849,432,
080,245,485,041,667,615,771,931,121,739,409,740,866,020,447,512,213,908,583,
805,388,448,276,708,280,777,737,641,479,392,588,960,711,841,283,873,622,050,
859,934,313,468,646,620,167,468,204,473,413,706,281,190,643,642,351,756,749,
620,637,594,219,112,922,014,822,648,465,632,984,650,514,606,837,637,011,696,
434,062,657,457,847,191,163,639,151,065,462,283,173,812,893,574,120,657,791,
751,315,437,107,960,061,156,176,297,907,936,865,159,798,612,945,772,861,356,
507,243,310,978,876,811,021,945,725,631,768,912,507,499,720,559,248,147,018,
623,045,884,268,762,447,386,772,746,069,144,360,161,347,665,665,678,672,321,
302,937,490,723,465,926,313,833,218,620,972,977,515,587,381,647,206,828,143,
247,600,352,901,518,841,788,352,478,995,855,580,339,817,232,883,577,031,440,
786,396,424,334,694,348,141,093,853,769,637,198,861,288,716,779,900,614,258,
718,953,867,240,627,812,560,197,103,548,968,108,055,516,979,052,207,478,448,
560,444,693,981,396,308,816,991,090,465,505,519,962,917,071,058,122,903,957,
055,302,037,262,144,684,676,817,114,762,782,795,329,354,827,163,919,390,338,
276,962,638,174,796,451,949,358,217,975,106,639,205,432,464,119,963,551,630,
703,143,331,183,732,399,995,332,220,741,376,872,420,760,696,372,490,564,277,
283,525,660,462,635,012,619,206,449,866,061,263,711,093,305,447,400,122,725,
061,683,815,089,406,264,192,519,023,388,878,066,958,496,791,434,738,005,617,
325,000,926,056,002,938,430,308,110,556,406,729,219,097,813,172,426,724,397,
929,245,512,373,603,345,405,180,813,314,574,044,984,306,253,802,407,162,751,
089,655,038,160,505,319,385,243,492,977,570,991,447,206,859,125,509,942,235,
488,985,311,044,347,409,073,394,284,513,824,257,567,664,938,121,956,308,305,
436,909,508,039,267,817,210,400,326,155,694,150,735,524,135,812,743,541,735,
994,834,350,057,917,778,317,769,328,071,336,932,729,841,593,693,481,944,884,
537,469,538,930,772,502,992,284,938,364,151,831,340,822,304,772,124,306,188,
843,329,310,052,259,611,976,591,822,738,651,770,178,382,987,506,831,242,893,
002,528,378,984,245,229,507,065,994,579,120,088,544,630,483,643,419,611,186,
396,322,358,662,671,699,920,551,379,276,108,501,631,852,844,026,705,794,639,
383,628,878,486,788,766,223,883,588,563,083,072,880,157,795,314,968,451,921,
734,504,924,130,328,716,960,271,825,081,246,447,481,012,862,719,866,288,846,
012,391,996,774,837,640,461,591,655,923,588,175,557,116,743,005,545,085,814,
577,103,653,152,417,276,111,034,774,638,121,096,942,192,724,027,868,910,646,
177,897,900,799,619,167,782,526,272,616,727,780,326,052,929,481,473,497,990,
055,430,227,398,194,794,878,290,818,037,889,473,082,081,574,132,143,898,610,
363,342,606,061,027,702,181,486,699,433,429,904,945,873,738,496,216,107,636,
401,089,381,529,549,771,828,699,603,034,958,575,645,392,006,140,638,932,749,
618,888,267,769,860,463,741,481,703,014,127,034,683,818,744,211,696,794,833,
948,472,374,631,994,997,609,657,288,900,099,052,495,486,558,622,878,137,131,
946,523,683,581,090,722,857,794,026,046,786,061,527,799,148,029,444,527,713,
140,945,952,761,753,974,726,458,761,698,559,381,897,024,253,522,352,552,536,
333,748,670,532,475,919,680,884,071,416,833,641,557,696,896,470,051,080,748,
869,462,720,311,596,237,282,829,511,617,063,175,875,455,493,093,377,075,294,
135,043,017,524,072,968,027,821,713,089,733,498,038,268,192,793,233,937,111,
634,341,434,480,673,076,571,938,837,749,326,964,678,031,151,436,440,385,397,
626,242,012,805,211,566,372,258,305,804,229,006,457,393,504,497,905,575,656,
282,558,307,027,044,357,103,786,160,612,946,792,094,160,812,845,950,612,439,
259,575,835,977,439,278,156,198,189,375,208,390,780,377,713,529,858,072,239,
464,923,096,165,400,004,062,624,328,855,110,614,392,768,339,160,816,712,583,
917,923,193,786,014,822,561,975,538,369,228,977,323,778,639,087,567,527,946,
460,427,088,651,286,003,359,839,268,018,656,127,644,217,615,511,766,995,379,
094,002,831,877,641,139,329,815,696,462,796,556,694,525,744,335,510,627,519,
586,877,087,818,480,411,476,473,200,633,237,724,276,842,808,817,342,334,283,
270,370,538,068,499,838,435,100,871,653,510,326,136,005,047,915,759,273,106,
681,764,374,313,839,097,094,674,767,607,382,612,564,256,372,029,830,828,795,
684,810,669,765,385,127,418,736,210,053,122,604,319,857,493,093,660,432,136,
978,736,499,522,024,672,053,582,978,642,193,689,768,827,327,581,271,622,245,
969,869,847,281,618,875,578,835,377,143,646,587,849,669,615,474,993,764,588,
246,974,839,659,112,755,605,516,985,058,169,333,610,933,062,002,712,626,948,
179,799,379,591,092,969,656,426,146,049,708,571,407,224,207,280,199,123,174,
625,192,908,385,245,964,713,522,205,473,553,889,156,025,441,124,366,962,294,
899,951,564,289,468,438,413,965,989,311,297,132,470,924,791,287,020,598,155,
194,470,000,002,272,430,073,047,735,833,136,186,566,219,899,400,082,157,154,
367,236,017,066,166,125,743,083,451,599,099,609,620,944,241,649,526,677,538,
826,409,962,312,450,746,622,405,591,552,417,117,154,407,582,947,828,648,265,
506,172,075,976,858,362,001,438,537,899,400,920,061,021,760,216,986,983,078,
954,136,779,160,161,746,390,708,310,147,535,051,635,884,938,832,645,466,348,
959,122,712,267,435,073,184,787,148,062,362,724,016,253,396,622,031,372,708,
725,819,739,421,571,111,097,103,007,063,569,892,910,869,955,225,473,628,878,
481,000,320,181,573,291,950,770,922,808,174,019,622,172,689,276,616,959,535,
537,475,365,310,605,485,068,951,055,205,160,196,786,177,315,744,183,864,209,
244,106,191,156,369,192,045,090,095,650,817,692,794,233,363,899,295,536,626,
018,608,806,828,683,606,840,989,185,329,457,208,318,415,381,089,364,579,838,
412,938,879,563,311,394,305,012,132,167,354,247,132,290,343,563,733,302,143,
103,080,506,159,895,655,206,361,379,174,110,885,242,364,003,905,264,492,841,
447,491,078,393,915,301,334,548,144,315,729,554,620,207,079,293,937,809,667,
028,021,820,547,423,251,505,838,490,464,616,860,046,603,998,004,732,709,554,
906,249,243,329,868,459,521,845,710,231,959,709,830,791,007,474,627,600,889,
117,355,414,907,663,361,719,273,631,523,581,169,661,670,330,340,627,361,688,
531,351,111,272,575,594,760,122,382,778,268,241,981,782,070,029,736,371,264,
432,434,021,396,988,576,913,937,614,517,739,777,691,432,514,593,248,693,484,
390,810,989,225,247,805,467,974,663,769,489,733,802,346,862,403,775,510,826,
294,359,315,743,969,176,167,428,908,809,862,232,839,717,447,586,980,322,632,
756,596,282,363,642,258,266,791,446,809,098,894,763,057,454,609,002,418,622,
559,953,192,901,466,239,831,849,606,855,950,473,731,909,867,437,624,231,614,
301,950,718,742,309,978,588,197,958,223,064,644,126,559,403,191,890,197,217,
258,057,890,773,507,531,148,803,167,293,707,951,093,171,309,571,207,613,333,
868,614,038,077,593,219,815,279,004,342,720,780,180,743,561,474,258,177,909,
024,008,398,305,816,966,616,821,683,600,494,186,754,668,159,591,224,759,685,
439,084,910,796,361,075,738,275,810,028,915,207,192,830,659,503,682,040,517,
979,039,263,739,130,925,758,565,430,655,692,763,413,769,146,471,453,497,840,
928,653,797,672,237,748,192,229,995,475,647,405,201,978,523,826,300,853,426,
937,170,226,014,970,946,504,058,118,037,298,486,118,942,414,565,342,187,415,
340,762,690,155,717,001,187,393,223,930,268,529,739,617,707,221,219,570,763,
284,149,232,510,912,002,400,919,015,487,734,426,313,515,931,001,234,911,125,
829,360,633,218,369,036,662,728,503,316,626,291,421,192,709,006,084,931,988,
152,820,873,042,627,407,442,562,380,725,448,613,782,919,313,848,581,918,829,
389,721,795,870,568,496,512,088,310,367,864,488,780,800,241,694,235,453,541,
355,221,390,856,771,317,938,059,424,054,532,302,110,934,017,640,728,371,517,
477,021,880,804,993,391,474,610,218,882,334,890,500,265,353,991,890,932,457,
126,069,590,617,293,653,127,613,435,259,995,557,851,842,648,288,496,861,630,
068,245,517,995,684,173,006,678,419,145,504,553,914,812,335,543,210,125,513,
578,054,732,720,654,760,299,160,027,535,121,395,339,200,263,878,235,896,565,
020,777,001,720,563,805,518,849,114,138,815,042,516,800,519,580,087,260,120,
121,366,063,664,715,322,007,988,208,553,373,389,478,166,219,542,930,013,958,
172,529,108,538,827,899,791,784,861,730,782,914,825,512,287,056,997,117,005,
889,898,521,827,392,150,178,660,861,250,205,075,318,701,062,405,604,304,064,
726,370,084,304,829,274,311,346,335,993,242,542,490,065,385,999,343,434,480,
965,531,196,778,578,191,457,679,095,683,911,361,722,245,161,010,768,690,886,
241,077,135,503,730,032,135,089,933,398,073,746,423,279,992,204,457,872,605,
843,343,777,069,642,054,274,199,431,107,333,474,113,928,484,050,302,928,925,
889,725,010,153,574,202,143,444,520,053,946,003,088,246,745,852,987,666,580,
207,558,894,671,503,461,488,488,058,884,664,563,105,537,621,527,046,330,841,
388,990,822,073,181,778,222,545,095,677,991,584,863,579,571,767,661,684,149,
253,419,125,017,663,944,366,831,071,628,931,933,951,222,938,767,666,412,575,
302,485,481,064,889,306,912,662,854,024,578,574,751,931,255,993,947,126,994,
200,020,393,121,666,685,422,708,489,864,247,011,938,351,611,342,191,296,909,
072,214,217,102,239,086,440,661,775,504,975,677,197,563,225,818,762,831,482,
189,238,620,147,094,681,542,990,634,841,072,618,698,062,364,020,921,814,634,
655,665,087,624,879,556,939,159,001,931,590,787,375,686,926,904,295,493,172,
222,183,592,791,095,933,203,291,314,849,292,942,955,387,828,125,939,107,248,
913,060,965,589,284,057,528,502,049,757,634,146,012,461,357,290,404,004,874,
535,705,958,865,738,507,343,158,813,269,016,008,710,051,247,664,679,383,219,
246,480,327,733,720,855,769,810,596,793,865,627,610,837,808,208,993,875,494,
861,386,629,292,753,928,815,053,652,960,069,068,839,856,428,209,258,596,809,
714,257,542,360,893,683,872,084,944,188,518,504,801,130,621,578,022,555,142,
162,999,497,702,113,331,941,368,487,543,588,061,563,656,494,135,305,866,436,
581,130,026,193,380,466,568,113,703,779,232,615,831,845,591,525,442,152,798,
384,224,497,898,155,070,172,905,663,675,122,171,410,130,783,811,769,970,471,
767,833,972,045,380,654,441,035,899,506,205,250,882,148,300,974,005,373,833,
345,808,545,429,726,593,270,505,419,836,350,988,946,579,472,726,377,790,464,
311,755,498,490,393,245,957,307,431,410,696,195,655,497,653,201,760,920,033,
455,760,150,758,763,988,345,618,585,902,796,324,508,644,527,216,078,906,396,
250,615,364,152,103,172,719,617,159,147,668,166,523,097,533,785,544,863,133,
395,512,030,510,654,546,396,859,734,420,980,700,740,544,368,819,888,509,772,
405,858,575,109,741,553,976,631,420,360,566,133,276,535,270,760,564,296,293,
893,494,306,958,198,411,544,624,832,410,183,981,446,616,039,808,096,933,368,
300,174,817,241,152,367,571,550,747,106,229,559,005,136,637,407,815,322,048,
547,854,514,704,410,691,134,970,708,530,210,637,512,224,950,361,591,162,645,
065,035,348,261,084,240,137,567,952,318,964,960,765,395,945,386,323,188,986,
248,170,838,797,058,193,199,177,289,811,906,339,588,703,002,344,079,887,342,
612,050,802,591,142,225,738,789,845,735,218,760,614,801,957,137,562,613,731,
000,911,645,668,448,283,118,548,342,810,001,353,758,926,173,417,762,463,911,
917,493,092,515,625,343,150,620,075,208,556,245,812,887,371,241,795,257,332,
378,087,883,229,058,855,797,284,130,149,336,910,115,662,970,483,363,702,628,
598,730,488,058,694,632,442,211,751,736,369,076,203,124,817,106,388,186,486,
191,711,720,854,160,490,852,715,830,328,708,311,722,797,103,808,782,085,495,
901,786,323,433,865,814,570,150,728,123,587,819,200,313,884,236,770,173,986,
504,388,259,485,723,113,574,490,434,948,521,527,141,386,259,325,919,024,028,
377,491,364,995,389,829,014,393,403,376,385,244,787,187,581,203,297,585,227,
676,799,251,353,867,670,135,092,612,872,882,985,939,660,539,990,998,790,833,
691,835,675,195,384,751,553,090,510,082,419,087,098,755,634,314,256,168,559,
877,071,649,834,875,106,593,972,102,149,295,461,477,028,902,692,576,065,335,
200,712,426,418,718,604,402,156,284,619,439,097,783,489,410,673,088,951,377,
002,642,995,882,374,300,748,508,577,383,016,113,678,244,450,405,019,060,269,
968,622,984,329,100,209,883,891,676,906,326,998,114,423,491,831,821,035,276,
193,851,176,252,960,365,040,571,220,128,187,852,393,189,654,140,766,598,179,
098,483,029,614,165,660,274,672,690,508,483,973,412,307,849,668,788,926,750,
409,964,324,955,391,270,744,646,329,697,919,500,966,263,834,519,600,750,687,
030,193,451,611,452,427,386,486,883,929,064,160,206,812,002,240,059,574,970,
285,472,501,761,651,999,313,999,599,710,699,706,341,824,166,951,445,671,141,
156,266,224,520,165,327,841,687,135,266,209,598,639,510,647,095,561,988,038,
215,400,400,156,181,854,146,970,025,199,062,277,704,486,561,439,060,247,831,
316,198,562,140,804,328,995,842,987,882,144,320,370,127,017,063,633,885,505,
824,430,365,500,183,421,647,660,307,513,046,796,411,590,260,225,902,344,339,
828,846,031,726,228,383,913,240,329,697,425,737,165,904,392,513,873,804,916,
506,756,233,849,874,173,899,579,956,080,659,397,384,361,036,545,830,558,930,
023,508,786,094,297,079,680,064,227,169,402,803,463,895,498,534,803,237,557,
541,126,078,214,003,878,885,847,375,413,462,459,749,344,423,429,823,715,892,
095,589,217,825,000,458,872,208,854,342,816,316,881,325,572,727,227,343,474,
609,686,053,984,775,275,828,956,016,757,242,865,986,512,171,755,851,923,719,
641,256,417,594,811,446,361,041,565,203,352,160,671,888,701,844,727,143,995,
097,029,446,195,757,424,920,843,403,778,725,546,189,664,304,917,827,267,485,
414,790,909,252,707,695,091,820,888,313,244,236,901,224,554,626,432,899,245,
401,590,523,801,925,609,836,675,815,078,365,187,322,885,208,005,437,696,445,
114,258,385,884,813,953,224,321,716,178,038,437,742,754,384,617,512,848,223,
402,607,231,220,834,607,845,093,324,703,498,783,209,607,901,454,263,773,072,
296,147,946,648,222,588,951,979,277,573,374,468,223,648,841,683,793,976,369,
145,197,015,754,510,017,297,061,807,597,190,040,708,943,597,732,225,602,577,
141,965,830,911,006,646,986,982,617,168,149,501,541,731,636,548,799,378,259,
571,886,414,023,659,645,807,918,648,988,715,920,703,990,628,821,661,837,454,
657,448,926,889,688,902,927,528,150,657,397,049,767,410,701,861,540,699,597,
408,034,203,316,332,231,555,101,922,410,577,501,754,444,846,671,560,103,920,
432,013,533,620,963,007,539,837,568,750,189,220,265,002,855,876,918,049,113,
796,675,998,072,543,882,495,333,572,647,015,420,135,742,878,824,055,886,197,
576,188,192,913,417,866,642,537,384,262,908,631,194,793,537,968,956,320,526,
259,951,101,911,680,393,342,074,548,708,924,755,990,486,784,841,451,723,216,
934,935,499,288,608,525,914,992,047,294,083,531,513,430,262,705,944,057,593,
914,812,565,545,943,527,772,970,033,308,730,346,964,634,418,858,807,724,731,
870,926,537,055,375,820,251,902,776,865,043,960,319,915,253,686,214,223,260,
598,200,733,041,818,912,127,558,524,172,729,456,500,404,867,221,511,860,279,
476,093,183,163,107,253,368,166,288,774,626,299,195,186,614,701,257,834,786,
227,408,187,680,780,172,365,778,803,293,508,054,624,915,022,004,185,047,083,
785,676,521,203,361,584,273,820,430,973,029,641,698,111,286,582,357,943,687,
246,357,023,400,360,180,293,784,598,558,843,410,791,040,409,128,498,995,842,
679,624,665,664,221,600,924,630,198,924,160,940,676,698,305,942,994,777,420,
591,544,197,279,095,438,335,109,386,661,252,080,035,844,100,989,766,321,003,
283,170,306,343,918,564,678,028,218,250,116,545,662,694,733,453,400,545,416,
160,940,716,311,011,713,357,467,947,240,775,575,923,531,703,017,393,347,211,
146,630,265,863,977,933,862,461,951,613,946,301,013,470,042,057,914,222,789,
835,469,878,316,105,259,482,329,416,733,480,253,207,068,542,278,542,251,764,
081,114,177,522,752,125,585,840,078,518,773,387,611,829,584,019,758,804,673,
521,168,315,520,321,123,502,229,762,693,742,242,858,931,608,919,358,808,840,
425,068,725,257,623,089,515,904,513,377,135,737,588,849,888,103,720,313,876,
694,904,504,798,996,092,463,276,116,283,022,094,881,276,652,528,058,039,591,
767,211,684,992,812,487,589,346,540,747,802,025,502,307,716,887,390,885,238,
101,267,761,719,423,301,071,607,485,613,180,993,676,076,053,053,480,118,273,
060,563,107,984,220,377,722,643,391,250,262,002,128,249,681,705,122,197,648,
335,928,267,260,228,770,129,902,716,836,404,313,637,002,677,449,178,914,442,
198,229,171,956,966,161,015,629,325,285,684,164,377,026,552,321,260,030,825,
764,870,172,855,353,520,385,797,333,568,508,444,928,276,218,421,771,982,422,
262,459,134,001,001,656,029,810,443,550,217,403,392,142,555,346,824,006,492,
944,311,112,729,529,907,224,372,160,932,037,805,426,625,928,166,665,475,685,
089,958,925,800,483,418,710,829,689,231,360,045,937,372,921,172,671,321,616,
882,945,038,729,970,085,876,467,907,986,059,532,718,808,845,444,089,008,026,
230,183,179,307,190,421,229,268,278,827,389,819,962,822,716,305,431,954,192,
703,395,340,327,301,090,325,559,584,236,224,096,186,253,666,690,327,816,820,
377,283,795,277,140,866,516,900,566,111,762,460,746,947,716,388,016,068,718,
290,722,418,344,473,278,270,185,443,382,318,033,000,220,953,024,720,365,774,
080,979,836,896,361,107,171,556,045,126,631,955,139,272,389,239,733,458,068,
938,618,335,760,342,274,136,680,148,586,173,309,389,482,250,207,797,463,497,
645,597,081,528,496,812,118,535,339,012,406,651,333,226,102,994,811,964,594,
866,270,883,576,716,337,223,481,693,102,214,455,367,892,720,586,640,508,391,
277,836,720,622,263,535,319,736,755,444,045,873,388,234,698,253,957,637,874,
706,956,916,151,375,887,877,460,160,036,523,895,439,426,618,168,660,773,644,
433,067,885,979,853,402,423,814,930,532,976,474,834,794,495,721,611,381,369,
303,345,316,708,468,493,641,063,947,478,794,443,440,863,268,258,318,803,960,
738,797,329,340,723,172,977,071,084,975,968,654,937,325,448,048,246,732,880,
707,730,356,957,076,499,775,338,280,123,603,472,956,508,132,155,520,889,539,
478,920,423,782,996,590,440,315,817,584,127,613,977,727,915,513,275,766,407,
632,286,520,388,286,249,446,610,514,509,209,981,710,236,539,494,302,420,527,
954,536,150,352,365,677,167,065,160,723,327,245,899,186,354,505,885,032,223,
798,758,708,069,966,063,056,228,302,931,552,800,643,614,715,914,071,746,349,
517,550,652,525,886,530,194,739,752,538,355,521,404,546,119,845,964,052,020,
360,957,792,535,166,785,077,961,289,714,901,866,250,591,053,766,172,849,694,
146,549,579,308,103,099,884,639,529,043,674,161,613,107,408,175,380,771,635,
267,939,548,465,697,846,588,756,702,002,649,404,218,113,087,662,284,440,082,
432,192,967,048,199,330,771,460,481,461,626,378,488,733,995,485,400,898,989,
913,934,686,966,232,505,594,623,643,719,172,503,606,179,472,355,384,245,233,
891,608,675,698,165,029,880,340,649,791,121,485,711,644,367,124,259,994,325,
674,874,202,245,884,534,295,739,068,689,075,882,070,046,455,333,844,711,494,
965,127,819,649,287,434,086,350,264,763,330,994,369,935,508,016,113,261,528,
300,931,001,480,528,038,288,593,236,070,954,834,698,864,498,938,816,225,565,
850,217,358,185,391,550,252,469,472,056,353,517,158,001,426,954,769,634,541,
919,364,436,245,570,641,133,137,384,810,112,983,389,475,209,172,115,636,904,
077,378,757,820,927,624,305,574,359,549,596,074,612,450,569,800,639,762,291,
355,617,043,976,708,977,342,766,016,247,727,375,121,703,186,107,738,057,086,
121,957,964,339,802,815,627,961,210,134,905,287,231,911,242,189,323,290,734,
176,158,101,235,467,246,469,731,678,907,042,462,276,223,250,473,309,599,906,
074,934,501,875,226,677,121,042,647,482,296,234,281,967,381,134,646,110,778,
542,204,816,744,442,016,786,767,457,682,837,790,429,068,789,623,599,247,846,
738,606,384,470,571,300,847,916,159,232,366,009,060,834,803,301,492,643,404,
330,025,001,382,376,738,321,666,335,108,865,468,231,461,271,907,014,058,603,
382,452,298,117,532,273,737,446,652,794,784,082,996,965,540,249,197,773,705,
723,312,236,133,192,325,531,189,602,669,176,836,080,801,185,166,090,075,203,
027,200,002,823,761,616,044,840,008,881,201,328,285,700,296,404,128,305,031,
243,693,111,021,927,597,966,369,486,714,875,759,032,105,899,527,862,675,121,
146,596,263,420,903,390,364,790,182,537,647,107,319,802,967,600,852,856,459,
770,828,218,134,637,882,621,227,701,118,531,151,234,787,625,489,664,999,598,
792,518,229,956,928,095,445,834,087,173,703,613,691,063,072,461,164,507,902,
701,756,560,206,305,825,452,376,519,207,336,900,635,587,438,597,301,768,797,
931,626,434,112,053,584,604,649,653,063,512,380,570,319,926,181,455,891,106,
555,284,884,834,171,053,898,512,206,386,087,067,608,274,295,153,259,571,917,
283,671,266,433,401,353,961,239,217,662,894,483,171,032,596,964,623,950,260,
416,170,216,089,671,914,113,639,527,679,775,796,226,020,591,692,988,491,881,
849,755,167,788,859,116,196,591,066,600,125,127,017,163,002,461,752,422,382,
278,828,302,957,605,340,632,104,390,874,605,905,677,523,111,545,049,965,064,
508,682,594,618,331,881,572,299,482,400,716,020,515,523,038,530,475,508,369,
929,347,181,490,147,954,803,514,287,031,232,028,066,291,377,191,795,717,913,
692,023,996,383,934,998,761,258,543,303,728,525,001,259,894,569,491,298,465,
071,500,743,338,839,036,295,488,232,360,200,088,555,222,492,200,901,556,720,
211,125,233,955,836,544,464,953,251,700,551,392,789,495,911,066,714,736,959,
879,560,659,459,065,262,161,711,550,962,492,984,617,343,163,093,070,984,255,
269,228,118,425,939,946,888,357,579,373,543,079,486,263,904,400,842,758,760,
743,249,109,384,762,977,593,498,703,717,928,016,505,861,072,196,298,903,657,
345,140,009,605,851,666,871,595,495,565,325,055,647,545,637,455,216,640,236,
220,292,562,095,853,067,908,486,226,011,557,925,870,812,615,598,805,164,514,
634,524,336,788,461,660,282,589,418,217,705,553,235,452,467,048,407,858,339,
081,933,485,014,067,350,103,806,996,881,614,690,984,143,481,397,348,276,035,
600,516,904,871,765,720,527,824,070,227,622,878,455,228,831,844,355,115,461,
915,001,407,725,745,596,446,471,449,153,342,659,598,635,809,451,451,005,033,
062,630,419,571,893,681,691,609,296,053,600,629,154,107,743,231,081,878,017,
393,454,791,072,824,167,786,438,391,286,124,884,707,419,804,843,502,497,925,
409,845,247,772,174,106,875,977,244,726,023,033,825,217,309,659,507,218,934,
799,226,647,011,864,362,563,831,270,166,355,039,145,160,599,813,604,460,260,
824,841,991,042,727,185,125,964,290,209,009,015,838,805,221,421,544,866,175,
682,242,170,388,561,028,205,819,148,409,126,118,957,360,919,008,969,565,371,
636,440,956,091,029,674,130,353,180,332,083,770,145,545,269,171,895,735,181,
483,572,385,171,180,280,321,119,303,849,730,070,009,448,352,722,922,800,662,
361,835,580,215,405,701,270,416,551,686,242,755,430,753,251,358,031,523,248,
094,544,388,915,689,953,590,790,452,766,481,361,115,247,372,361,666,006,708,
708,048,825,156,107,292,316,572,547,121,343,666,076,413,779,418,783,490,414,
368,932,517,331,532,732,324,556,055,591,656,862,784,775,893,873,581,394,214,
359,120,370,046,733,230,518,076,439,792,662,509,379,234,136,161,627,608,808,
103,193,249,056,868,521,321,380,115,595,419,443,345,683,220,688,515,851,106,
082,852,800,882,625,422,639,925,682,758,328,612,220,371,567,331,985,882,804,
782,868,150,738,650,191,163,424,995,898,509,748,721,133,293,146,874,395,456,
818,841,068,637,091,734,988,320,859,142,394,588,351,892,444,004,171,483,096,
357,797,941,618,732,311,037,773,145,154,747,902,294,114,125,023,024,612,546,
342,621,408,077,842,092,614,136,714,190,075,461,619,369,330,137,804,681,692,
166,954,092,202,326,345,645,066,656,543,279,337,552,931,921,925,438,733,910,
712,941,578,068,132,019,169,502,305,426,179,145,643,167,596,130,178,988,952,
601,101,368,467,267,117,144,018,102,112,580,044,815,062,156,278,842,079,691,
253,522,196,993,379,481,000,796,614,311,453,971,566,556,260,747,485,038,503,
873,822,270,945,609,659,624,080,491,376,725,243,426,815,588,994,200,371,955,
551,446,426,119,060,945,549,608,137,999,606,276,090,672,710,568,417,967,993,
795,339,875,740,636,653,337,281,381,265,460,731,963,833,976,711,494,969,908,
052,900,788,773,412,551,491,229,752,917,195,557,301,911,175,954,519,139,494,
636,906,941,316,659,921,858,509,486,582,507,619,008,766,389,628,912,923,260,
358,899,123,924,514,731,036,016,464,947,174,246,706,047,137,432,367,639,401,
105,072,167,566,369,441,180,984,028,745,617,103,858,812,880,908,990,041,791,
459,994,058,681,387,506,232,212,947,615,007,227,566,715,206,992,435,742,712,
001,030,259,510,600,975,872,075,198,509,572,359,248,998,019,140,309,217,960,
689,509,628,480,307,008,360,941,264,214,372,740,094,169,354,518,388,882,765,
065,204,600,731,932,526,548,897,720,718,925,157,888,225,604,867,125,646,159,
769,108,683,920,209,150,056,714,048,019,571,254,928,978,164,511,016,871,661,
001,225,008,709,456,418,574,507,093,454,885,223,832,057,347,108,784,785,860,
541,384,094,851,394,278,179,460,121,852,241,438,887,336,840,403,261,795,580,
974,876,444,440,035,037,720,837,971,506,359,353,235,388,896,123,296,591,495,
995,513,900,112,821,650,796,634,703,088,687,275,319,480,913,037,641,083,650,
945,312,752,169,892,258,460,261,303,448,599,178,469,167,427,612,828,026,373,
588,577,208,788,146,536,178,514,050,619,159,546,315,385,798,197,143,453,391,
762,335,075,189,830,486,976,792,237,885,915,906,385,687,007,930,601,896,086,
000,916,129,902,794,481,593,130,014,687,935,619,412,668,750,377,668,854,863,
030,469,317,043,150,427,312,422,713,091,853,127,125,614,580,145,808,584,914,
606,981,082,543,729,003,472,489,649,045,111,502,695,153,722,339,211,260,042,
599,533,020,491,207,142,445,656,344,626,171,743,685,951,867,535,663,782,908,
532,129,414,980,484,255,556,224,327,654,019,225,022,821,581,732,943,978,957,
801,378,334,748,485,577,531,787,794,035,390,117,681,404,441,064,622,137,982,
189,008,636,739,900,301,250,008,924,484,498,394,841,833,639,661,077,055,971,
894,712,158,585,151,637,596,912,641,485,183,923,649,261,774,889,860,521,844,
176,776,199,827,758,300,118,902,540,964,869,926,987,788,301,202,631,926,017,
280,582,663,905,848,828,072,986,552,165,264,846,923,983,923,733,560,758,506,
200,517,044,605,032,006,305,132,650,694,098,455,937,040,340,565,076,426,359,
909,179,293,302,628,140,507,357,957,149,918,811,267,961,984,200,632,686,378,
514,383,067,340,164,733,583,180,067,432,705,115,778,295,386,077,970,826,392,
344,266,018,970,983,745,917,046,996,447,393,804,991,798,516,514,643,683,371,
923,116,107,983,202,219,190,898,614,676,796,090,140,526,037,788,992,300,857,
390,003,145,133,375,063,910,791,583,756,540,296,872,724,349,309,662,026,205,
058,079,835,672,544,158,758,876,620,789,012,511,636,804,278,706,141,472,599,
758,700,595,038,987,966,061,427,077,888,461,730,292,202,578,165,200,036,436,
002,627,920,310,894,137,404,305,193,326,285,364,235,718,896,346,420,037,055,
385,534,548,800,724,283,060,612,178,820,736,997,557,714,807,725,636,645,942,
681,698,395,453,185,035,130,181,705,965,813,865,101,700,628,570,336,352,666,
548,630,136,133,861,271,611,816,469,383,818,324,030,940,658,449,516,366,870,
671,213,057,655,272,861,682,117,497,098,759,484,884,839,045,230,584,418,561,
186,758,197,148,521,850,003,428,316,020,147,079,986,135,502,398,935,410,262,
788,753,009,250,881,000,171,789,894,540,542,003,773,368,562,542,630,225,568,
230,775,364,991,177,343,253,641,919,698,553,410,790,605,707,233,480,163,997,
074,731,285,550,722,882,608,657,154,848,259,079,327,036,087,529,304,694,466,
773,550,820,470,630,035,955,446,928,455,483,776,363,034,610,869,685,991,324,
153,967,538,609,186,225,211,729,879,910,005,031,998,229,232,896,525,168,250,
499,706,256,059,212,937,565,507,026,775,931,738,865,542,129,888,890,795,088,
854,771,647,175,909,618,648,617,205,889,628,060,037,091,161,296,453,547,165,
584,820,107,413,686,656,854,236,109,094,447,117,484,846,682,808,681,083,690,
198,364,735,126,120,278,093,461,807,318,942,936,070,718,410,853,703,733,213,
888,989,769,049,152,072,960,574,393,606,217,979,363,175,565,239,250,010,134,
061,570,434,929,412,900,977,816,563,380,442,041,311,383,427,040,410,679,866,
064,307,661,948,858,690,909,477,297,841,540,081,636,142,172,336,382,844,155,
518,249,277,684,196,386,954,199,697,460,739,556,997,450,203,639,532,094,576,
373,869,013,066,909,304,341,873,034,591,785,199,684,495,673,671,426,357,044,
127,497,323,116,113,375,803,475,305,833,926,111,726,232,373,827,635,565,540,
789,691,106,079,010,688,779,333,372,653,646,650,015,632,065,782,745,256,400,
783,465,328,486,640,825,051,541,170,792,273,793,153,588,272,296,262,295,706,
018,108,892,864,628,469,080,277,347,301,790,478,594,275,696,154,700,518,843,
147,092,890,648,759,374,701,481,644,478,243,236,487,643,736,139,482,704,773,
914,104,270,072,032,817,933,461,770,295,025,296,372,120,708,133,884,235,653,
793,165,762,286,668,333,014,437,145,272,569,871,168,721,893,047,509,545,601,
566,268,080,711,132,550,803,604,970,759,440,594,794,683,307,941,799,158,041,
692,339,504,861,337,287,218,081,902,362,930,010,417,395,818,728,195,367,959,
402,517,940,604,409,750,924,809,938,928,193,042,105,497,570,301,930,185,072,
839,335,625,332,319,311,994,278,858,525,041,642,390,610,258,760,582,105,802,
175,965,991,516,577,005,375,900,552,670,329,694,207,164,578,848,327,722,951,
061,576,416,157,622,314,512,216,283,332,226,090,897,398,958,145,368,174,619,
589,499,809,660,365,732,196,210,001,866,183,787,891,323,198,543,152,995,077,
650,162,759,962,451,904,019,370,536,305,327,160,700,356,616,395,965,273,895,
415,701,834,584,320,658,224,691,277,400,551,270,201,116,072,649,307,379,213,
803,180,687,967,795,439,912,236,387,651,818,531,794,102,892,816,156,169,288,
065,846,949,309,588,964,354,450,075,159,510,751,192,754,832,061,180,621,271,
044,809,122,601,300,276,865,569,224,442,018,614,046,492,550,970,448,427,191,
534,280,943,324,133,851,453,661,607,908,236,753,400,383,182,039,648,150,021,
394,981,460,362,511,488,935,834,762,444,264,275,920,173,863,974,141,967,638,
231,256,489,142,243,507,681,595,653,175,995,785,469,182,357,043,007,041,903,
953,317,795,882,230,170,053,041,374,550,939,349,136,073,011,177,175,775,802,
875,103,977,783,507,005,658,386,174,530,604,769,374,619,662,734,943,612,180,
101,693,355,612,168,350,090,043,983,582,811,737,783,108,297,065,426,223,457,
193,711,052,040,410,645,273,988,715,165,526,008,953,237,099,941,569,136,569,
075,468,839,642,525,487,305,634,237,373,507,216,981,244,970,688,462,794,551,
020,897,232,051,246,717,436,533,110,854,891,242,293,550,725,316,987,686,455,
187,801,300,783,155,212,911,931,026,459,018,741,750,700,152,777,554,350,336,
732,685,103,722,879,832,062,701,501,040,772,667,217,800,957,681,656,374,125,
449,310,629,319,554,987,260,983,413,698,841,755,638,524,364,864,649,203,347,
062,180,774,510,487,003,851,456,707,599,811,757,844,450,216,564,130,100,030,
794,617,745,252,849,416,170,153,969,551,995,136,494,541,411,066,057,258,863,
580,697,118,750,751,562,313,148,268,142,601,329,016,354,580,117,183,649,700,
147,586,930,638,730,227,783,246,013,288,612,577,937,352,585,984,373,394,713,
815,270,290,655,899,466,948,054,145,080,982,939,554,041,052,880,938,677,111,
398,317,847,912,015,352,863,915,433,198,189,518,696,182,582,895,459,245,272,
988,871,192,429,076,798,689,935,442,957,977,758,734,388,209,767,541,584,059,
044,230,534,317,966,879,415,641,059,833,120,069,813,027,022,068,137,346,731,
811,817,737,040,614,189,746,921,636,298,631,674,042,230,729,446,374,298,301,
023,336,547,051,070,810,978,462,745,648,469,922,543,482,366,174,933,246,080,
220,163,177,852,774,326,849,309,853,824,999,446,212,437,341,164,572,850,141,
188,340,267,214,359,407,614,736,065,780,131,371,189,086,670,751,105,013,862,
711,763,297,767,423,166,465,252,055,146,884,626,506,646,700,951,720,573,215,
215,187,830,531,372,076,329,502,804,158,290,130,096,978,111,472,909,876,597,
416,269,385,734,943,230,056,800,102,029,182,156,029,285,377,749,848,348,673,
912,391,138,277,863,702,079,454,233,045,044,112,545,766,927,334,572,273,729,
169,127,014,562,091,592,784,059,955,238,769,302,349,945,740,725,560,566,449,
662,811,413,829,971,597,991,647,270,712,846,472,716,543,639,211,952,799,675,
040,197,987,915,740,364,665,669,507,553,687,521,226,828,099,470,474,073,358,
676,806,686,974,928,452,045,278,731,615,201,870,216,201,567,905,658,269,124,
260,573,915,400,699,940,069,555,363,148,009,348,881,624,824,551,498,331,011,
025,457,608,614,762,631,088,676,305,375,730,555,199,399,251,303,461,093,185,
074,583,294,756,940,121,315,356,306,888,307,986,791,396,765,174,455,452,664,
828,970,122,773,247,923,287,032,387,066,743,009,887,287,585,894,750,985,904,
156,236,758,150,923,799,953,454,117,367,295,309,435,236,510,160,287,133,461,
240,803,548,686,811,662,227,193,075,868,878,354,943,148,370,367,692,362,147,
313,414,125,635,845,212,183,168,588,705,050,406,287,976,360,497,166,105,417,
375,307,702,172,450,990,649,477,056,966,672,684,686,975,839,034,430,570,189,
725,340,626,993,991,688,832,919,235,854,272,643,448,962,250,032,796,120,940,
655,434,919,581,771,521,665,295,615,039,307,155,238,076,199,602,581,883,220,
294,560,339,560,248,711,622,015,787,826,057,232,607,159,835,211,445,022,897,
052,105,243,900,564,248,869,884,160,309,835,613,434,393,416,994,841,645,862,
405,741,594,753,475,038,485,311,818,484,226,497,581,140,764,169,026,863,923,
921,250,132,378,135,815,540,225,630,015,776,031,518,267,920,290,195,839,077,
028,103,071,685,345,994,043,589,266,871,485,270,787,441,862,078,993,109,730,
361,002,189,856,201,731,092,816,541,257,392,305,848,127,035,450,530,886,501,
699,782,736,535,913,871,611,272,891,784,095,935,572,121,827,915,301,293,188,
436,042,813,974,006,087,175,518,883,948,596,823,715,347,878,950,299,743,837,
303,946,449,638,004,113,339,990,379,234,689,035,464,448,644,431,951,170,743,
402,388,942,409,609,800,702,386,762,603,173,308,536,727,888,266,788,192,317,
117,459,666,499,155,478,012,530,425,526,120,539,486,978,984,752,910,382,575,
392,356,775,208,952,415,394,257,358,408,551,640,846,101,349,784,034,410,853,
336,229,088,932,269,145,690,239,502,001,928,489,017,791,852,242,984,536,591,
722,189,776,178,379,325,107,306,114,907,303,242,311,780,228,691,129,336,787,
466,873,195,697,764,870,598,207,002,529,874,294,968,247,025,581,644,258,782,
850,257,173,540,180,547,092,138,332,839,395,129,310,821,433,972,995,888,705,
728,335,509,557,120,959,024,245,679,815,274,745,364,606,510,880,157,312,484,
653,515,482,296,925,983,980,181,596,326,696,803,482,345,807,411,356,154,725,
193,932,827,337,247,635,718,278,538,656,166,809,658,416,425,885,384,590,725,
848,529,692,796,895,255,059,586,636,575,588,894,462,230,829,097,453,434,846,
811,469,809,537,622,085,308,145,174,009,143,654,996,516,586,472,191,907,333,
856,052,457,990,306,672,809,094,209,751,940,263,354,745,192,992,634,319,789,
616,693,563,952,075,913,794,716,915,293,634,695,763,661,591,155,317,936,136,
286,696,248,203,289,810,463,342,097,063,998,161,781,813,268,648,920,386,362,
324,290,850,300,190,327,702,050,797,611,271,002,023,013,743,190,131,164,157,
242,941,541,586,146,758,393,717,372,581,138,840,292,775,124,554,209,093,498,
686,418,787,706,081,099,710,247,172,915,367,675,901,834,899,568,378,044,414,
590,507,084,408,193,335,255,259,344,320,022,369,310,867,171,002,192,104,883,
094,823,428,851,708,090,864,747,551,232,971,569,535,528,188,319,021,208,956,
402,636,388,830,443,507,347,030,999,490,616,872,897,666,538,962,819,761,496,
111,412,775,367,662,361,129,035,083,850,915,073,745,248,711,522,921,637,644,
440,697,606,077,758,810,146,645,465,086,208,065,198,254,109,076,817,760,467,
925,534,910,310,553,469,616,381,442,974,624,651,706,406,973,123,651,349,549,
114,073,244,373,581,635,325,113,097,088,506,914,396,686,255,061,904,097,187,
140,799,906,376,370,513,946,414,312,693,162,449,011,845,347,663,092,381,978,
037,056,398,656,296,830,853,190,277,105,796,070,100,464,574,633,563,736,157,
742,464,767,535,769,234,826,307,591,717,715,371,543,245,290,127,581,213,449,
192,391,293,725,807,334,982,748,643,913,739,602,043,937,842,531,043,306,904,
807,552,676,932,838,614,332,180,664,691,099,775,667,426,329,559,879,813,558,
324,811,076,650,056,476,860,348,659,815,238,992,508,845,869,082,963,448,517,
890,655,324,062,304,174,730,489,753,103,159,587,267,965,517,179,188,727,572,
375,655,575,961,518,192,653,936,541,160,983,921,174,792,813,993,017,213,356,
869,600,849,644,584,252,885,839,356,010,907,715,922,408,281,668,210,748,349,
778,039,670,369,052,895,194,280,525,563,761,929,777,460,040,706,696,532,204,
684,832,051,910,331,137,997,991,756,587,241,096,824,402,974,012,501,838,141,
585,964,749,560,765,052,733,073,066,550,616,068,340,995,054,004,981,723,302,
839,921,612,962,500,909,901,809,602,005,429,372,335,281,073,685,392,240,230,
281,036,485,748,842,632,127,897,313,835,655,217,855,877,021,693,195,639,183,
132,142,602,681,805,076,275,088,337,389,978,804,703,052,498,300,261,852,356,
608,514,454,979,733,867,300,875,793,178,901,235,223,624,278,480,825,229,981,
284,972,909,050,881,892,242,640,240,169,805,100,186,515,409,711,811,167,177,
883,695,574,852,828,831,859,165,872,714,943,158,302,350,058,043,527,202,444,
257,821,968,535,150,557,232,850,068,678,699,417,631,712,506,144,276,778,987,
420,063,502,560,578,290,223,712,088,412,726,125,499,551,772,511,768,699,042,
956,628,241,377,526,322,942,160,339,727,583,581,781,368,815,839,972,834,344,
412,332,480,770,222,165,052,293,309,616,428,862,996,235,126,704,528,932,748,
462,944,362,085,199,178,777,265,318,991,575,699,056,600,708,030,571,676,031,
577,832,141,829,535,356,562,852,747,517,664,526,683,671,857,048,786,585,848,
780,127,481,466,254,656,322,396,287,302,268,672,697,396,561,529,553,965,702,
798,245,640,684,393,881,002,858,113,142,473,082,185,478,274,307,476,321,356,
831,746,029,942,951,889,260,884,784,736,914,772,022,600,285,547,643,006,317,
036,880,540,662,483,545,035,375,590,418,385,094,200,954,053,006,298,920,882,
441,868,492,249,753,023,926,519,746,411,332,580,275,485,606,846,477,121,210,
253,352,610,363,648,193,221,901,215,827,929,991,043,746,375,854,220,334,215,
216,887,544,240,038,481,284,728,228,450,770,430,870,598,388,208,899,746,892,
041,082,939,127,071,161,376,677,614,432,208,079,048,161,532,912,159,499,359,
294,756,477,626,651,367,049,579,440,244,557,184,224,098,016,857,285,157,210,
490,963,655,694,424,665,780,356,697,021,712,777,096,603,258,398,972,177,615,
684,217,213,100,183,341,589,564,839,947,710,059,389,551,457,673,123,472,369,
515,580,370,523,512,047,348,845,838,332,681,595,877,705,197,207,476,092,171,
144,653,379,949,540,812,671,663,848,035,550,677,439,325,106,422,060,510,230,
601,339,965,934,459,680,851,100,213,413,764,645,143,147,838,342,588,941,590,
999,699,961,406,070,969,463,254,825,022,949,861,749,239,517,280,809,536,903,
727,906,422,236,553,178,024,630,842,536,045,035,738,602,639,667,706,080,751,
810,806,778,435,702,366,919,056,185,253,023,867,028,058,722,391,419,543,282,
596,065,605,228,197,028,227,353,530,681,384,782,905,496,844,435,746,562,230,
140,784,776,669,150,920,089,901,719,685,157,245,411,718,615,594,267,985,109,
773,106,041,341,487,411,293,578,029,079,134,368,360,926,040,538,766,392,762,
413,925,103,192,439,642,973,153,188,316,615,271,614,798,492,330,702,582,696,
556,091,556,056,203,556,830,094,900,793,266,971,612,298,181,158,181,165,462,
507,052,281,403,120,080,183,632,932,110,898,290,598,895,604,396,921,628,208,
244,540,270,862,037,887,542,363,240,257,883,142,758,486,832,629,716,274,588,
025,532,863,559,938,977,382,052,948,941,836,754,185,088,753,976,675,895,138,
196,009,750,654,606,261,515,934,990,937,042,593,782,140,642,844,254,432,967,
935,646,191,784,952,864,179,219,120,278,964,699,096,424,023,009,305,876,995,
563,353,037,639,953,314,015,677,626,656,500,111,732,309,398,470,391,261,632,
068,665,582,210,923,089,921,367,260,751,400,220,192,661,349,214,885,696,314,
163,718,021,557,782,183,447,733,181,241,020,726,171,684,033,385,658,516,160,
737,998,250,887,889,690,019,521,554,424,614,097,275,516,268,742,792,078,403,
902,122,500,493,210,035,172,227,753,954,771,268,057,986,764,052,714,980,794,
305,882,732,882,901,820,446,286,197,102,074,051,149,070,755,859,632,272,664,
970,624,115,244,612,947,865,598,018,450,677,337,045,403,571,641,002,301,359,
400,168,109,139,729,196,045,388,405,369,923,608,666,175,006,046,685,986,028,
832,062,162,172,662,435,630,149,460,546,434,460,567,118,752,970,091,668,360,
906,194,569,377,082,191,510,910,365,651,140,423,813,990,406,065,346,766,103,
000,090,823,131,610,418,514,112,163,828,656,193,105,151,973,404,352,293,511,
496,958,028,535,465,831,136,395,964,714,532,872,737,692,899,699,298,096,750,
417,471,504,786,281,844,116,267,348,488,836,809,576,580,287,509,708,897,614,
255,165,412,145,920,930,500,439,560,537,290,900,948,997,387,329,323,863,207,
818,585,989,626,324,050,232,767,375,341,041,515,528,033,272,613,541,600,518,
619,501,306,866,623,674,318,109,044,364,688,045,992,753,514,112,853,284,718,
305,841,978,627,096,761,658,164,611,781,085,940,254,991,675,035,441,290,898,
953,711,089,141,746,197,550,638,889,400,057,972,309,667,274,783,468,978,577,
730,097,262,439,375,165,927,602,858,326,306,468,483,872,822,205,457,911,626,
648,588,670,163,518,562,794,505,545,927,378,083,734,901,010,080,534,195,438,
445,283,188,682,025,544,669,307,775,325,928,480,338,898,653,793,441,532,822,
682,316,403,573,213,123,219,999,431,217,979,128,488,531,042,011,609,923,779,
525,917,648,142,176,043,016,354,588,502,408,034,607,421,117,336,338,611,714,
123,835,399,500,309,156,594,442,407,172,307,671,734,702,981,562,648,736,738,
988,654,344,184,009,603,923,611,298,609,177,371,336,281,630,702,603,004,175,
498,731,686,214,114,284,395,341,969,121,560,435,045,507,883,371,373,568,932,
952,447,704,978,763,473,012,976,793,733,288,307,877,290,559,296,389,189,033,
750,646,813,076,176,424,947,778,203,891,309,904,360,787,369,928,702,551,485,
405,702,895,758,316,441,293,246,323,812,532,493,066,591,225,037,797,390,418,
487,249,876,424,310,065,770,221,306,493,450,245,124,940,212,050,409,217,119,
257,981,666,551,945,515,423,896,122,811,930,648,264,977,848,834,551,337,200,
964,941,738,011,398,406,496,203,908,370,162,766,531,371,949,887,522,448,425,
029,960,448,273,288,375,034,571,661,470,940,281,896,609,760,820,682,258,571,
695,378,703,800,348,147,996,346,886,277,044,957,816,427,183,741,794,146,214,
676,310,521,678,586,049,546,797,073,899,748,583,144,584,608,059,553,226,223,
711,442,684,706,598,780,785,940,332,210,149,128,643,664,109,937,367,487,717,
166,582,458,313,746,068,908,754,343,989,167,514,835,278,874,430,506,636,366,
194,266,783,549,039,675,322,493,590,778,855,999,003,947,501,300,510,334,744,
497,237,901,303,214,720,572,940,971,571,869,086,548,006,131,409,875,662,110,
769,349,452,716,000,349,130,324,301,414,877,426,390,669,562,401,447,990,822,
886,065,995,499,501,896,642,824,765,940,452,606,506,590,836,319,855,230,534,
684,652,437,806,462,047,250,037,167,171,468,027,112,820,050,233,767,757,602,
254,391,564,402,254,578,216,052,967,834,539,680,118,103,908,352,541,431,205,
771,840,473,225,738,081,504,879,209,878,053,076,250,145,904,291,665,053,536,
796,765,388,250,550,691,770,079,366,284,383,201,400,074,746,628,324,255,729,
201,312,553,088,622,337,887,228,611,074,582,987,035,523,400,215,103,746,303,
205,436,186,642,045,328,502,521,697,862,420,421,843,032,476,604,449,890,744,
067,327,877,647,372,915,529,318,024,679,367,872,533,029,425,909,461,817,212,
289,289,261,694,082,357,399,785,534,701,973,749,660,809,280,420,481,080,687,
838,455,886,643,431,636,875,637,419,945,754,563,735,737,598,462,001,420,938,
077,712,232,464,868,370,546,860,725,254,913,361,272,977,065,993,576,253,603,
247,058,396,714,565,353,581,870,245,015,262,414,204,961,513,742,762,878,749,
139,914,491,371,433,420,086,476,134,015,146,104,481,636,987,596,796,694,613,
876,197,838,150,844,959,646,894,168,397,565,645,951,970,090,959,364,285,603,
800,835,173,559,145,838,413,626,426,925,288,173,993,091,675,222,920,101,838,
426,306,212,086,502,548,512,857,065,423,447,999,729,184,168,841,140,334,243,
437,813,045,110,240,013,984,774,885,116,516,270,759,599,115,440,156,414,538,
684,360,433,782,579,472,306,614,151,586,717,018,802,633,821,659,847,813,996,
920,031,743,161,760,250,397,143,908,660,164,832,709,258,524,069,315,831,082,
447,935,311,871,231,638,159,473,232,280,751,097,649,333,457,315,724,081,644,
882,026,008,322,418,950,264,958,594,921,720,831,831,963,099,320,452,295,789,
487,227,301,355,747,370,773,571,188,591,506,033,333,305,984,795,458,988,783,
111,299,757,851,261,864,948,325,279,306,332,309,128,791,600,416,871,900,552,
475,190,515,542,894,467,017,955,579,991,654,622,253,411,138,719,464,703,472,
765,692,822,516,430,884,311,836,166,759,805,495,625,477,244,341,122,886,837,
722,989,607,578,920,828,835,645,369,526,729,546,384,102,000,677,754,614,459,
507,645,319,831,996,103,880,459,604,349,513,051,603,911,423,443,635,759,205,
228,131,233,929,833,939,904,258,082,728,091,422,418,583,358,518,946,392,512,
658,954,925,998,388,516,594,853,108,933,315,023,760,506,346,272,541,223,126,
032,710,152,968,455,538,969,176,516,699,705,013,112,987,370,386,127,586,574,
142,136,946,032,779,710,777,932,782,116,225,523,413,990,869,043,173,097,288,
287,054,156,023,170,678,674,521,878,488,403,232,295,218,174,258,707,501,383,
041,724,648,296,613,989,029,682,617,208,438,297,323,099,912,356,395,398,571,
255,167,832,597,345,060,423,272,434,795,337,503,384,593,462,349,907,606,137,
772,212,170,938,390,259,856,114,176,274,024,092,041,462,755,618,660,415,816,
609,320,994,778,739,942,186,985,024,648,070,830,019,263,002,211,955,140,362,
187,391,804,598,710,091,943,362,804,550,490,167,834,796,773,114,882,271,397,
055,238,855,063,581,715,845,819,877,505,931,991,034,873,185,265,733,062,510,
601,673,515,244,213,646,619,843,307,380,997,920,943,762,885,775,323,201,559,
709,673,024,558,890,590,323,380,978,122,420,137,990,386,030,320,258,263,440,
769,801,491,741,638,906,539,017,686,503,999,190,371,885,866,157,659,904,345,
922,801,723,776,396,727,669,622,970,275,445,897,990,682,345,284,812,259,867,
374,461,478,324,046,932,629,125,482,362,953,965,121,220,599,998,075,402,498,
702,577,928,235,747,550,875,832,933,708,329,796,796,772,226,066,309,353,537,
196,719,027,996,311,940,021,393,491,744,468,372,068,078,143,512,305,970,654,
218,008,994,102,574,977,733,701,883,749,085,215,788,362,034,699,173,746,146,
973,907,176,469,563,108,322,421,342,460,664,534,103,720,073,444,086,926,110,
905,876,100,383,926,052,876,580,207,267,669,356,227,011,956,987,661,803,401,
610,386,674,827,381,774,771,449,680,018,905,132,750,348,990,605,881,907,559,
656,575,743,919,727,797,935,057,576,548,615,483,675,241,666,281,539,976,004,
913,842,142,424,623,599,624,049,581,438,909,456,442,370,965,451,023,361,672,
277,253,684,110,024,079,699,292,497,987,020,967,895,358,865,141,626,753,408,
942,498,762,692,362,062,531,215,450,670,384,294,250,595,975,967,504,665,145,
348,828,536,083,763,556,294,913,146,560,009,501,871,375,295,335,533,384,673,
713,063,354,623,916,601,794,628,646,540,846,591,696,996,317,814,322,146,610,
042,443,368,429,456,408,713,242,583,426,442,232,974,927,085,827,289,310,372,
223,840,062,222,101,858,367,745,701,940,761,240,910,819,825,804,836,373,908,
854,098,987,196,297,739,722,032,746,461,032,643,465,904,920,612,319,599,268,
663,598,637,032,807,807,081,959,848,097,747,535,353,919,972,020,312,447,108,
651,199,801,068,969,432,574,527,131,113,548,331,934,696,403,568,135,653,275,
055,993,431,141,080,362,173,682,553,405,640,884,531,551,128,035,311,338,953,
430,286,614,537,497,795,841,846,581,208,382,623,941,408,801,695,503,515,273,
235,376,549,744,120,352,088,320,647,263,107,924,366,670,750,446,664,335,251,
138,843,546,744,812,350,838,587,035,439,595,081,461,193,029,264,558,124,040,
983,424,690,254,917,964,973,210,219,512,475,324,537,558,785,695,557,696,775,
176,131,691,251,436,380,192,404,553,963,190,108,713,973,777,426,122,900,480,
863,793,545,236,255,875,198,217,275,003,613,228,044,481,318,637,134,661,392,
662,835,968,807,074,495,385,814,200,373,510,282,746,592,836,069,172,675,284,
407,512,477,510,564,550,362,282,622,398,083,349,324,901,662,248,211,773,350,
412,843,555,893,376,652,750,584,579,081,121,607,655,575,477,428,052,593,425,
553,836,694,627,346,235,670,119,037,810,473,004,084,647,885,835,596,919,553,
401,094,996,932,534,106,527,408,740,684,003,751,635,998,840,313,786,252,741,
543,784,753,327,339,668,393,785,170,644,641,533,856,065,215,754,439,186,003,
081,535,973,028,141,825,602,470,333,317,737,632,298,973,413,496,329,633,156,
624,327,721,641,380,401,203,270,101,835,678,895,641,355,155,167,400,624,254,
575,341,523,593,145,957,322,157,371,900,746,064,117,063,135,389,801,457,081,
895,901,400,117,175,732,884,915,004,165,852,079,414,495,741,744,122,899,721,
866,206,144,174,839,096,389,190,877,137,548,534,117,392,523,243,287,885,014,
317,976,270,693,199,294,911,538,806,361,979,250,880,922,186,443,228,724,240,
593,266,119,214,242,178,427,062,631,431,790,435,923,364,304,054,184,998,279,
680,160,890,105,778,461,659,883,297,605,208,467,931,358,449,573,225,735,463,
436,719,352,664,444,059,869,814,583,786,656,169,772,638,238,230,918,557,170,
403,858,085,280,325,369,909,545,974,461,622,653,014,257,041,519,785,534,975,
948,211,833,844,981,344,277,108,839,810,399,685,986,825,832,897,638,762,066,
960,087,458,384,386,523,172,385,887,044,992,013,108,887,786,501,440,116,259,
526,008,729,977,792,843,219,752,483,726,901,801,238,948,352,396,727,632,398,
337,292,913,288,484,306,595,985,504,005,174,319,645,915,085,576,581,660,335,
363,996,844,924,528,601,833,076,913,895,460,067,337,385,781,572,701,284,934,
947,087,048,299,494,467,505,499,610,465,811,086,638,964,076,044,112,051,322,
255,151,524,490,576,980,636,926,472,085,809,413,371,975,829,437,555,157,324,
794,912,622,122,893,823,632,989,440,311,215,398,129,605,441,497,898,623,689,
967,760,051,960,002,084,446,623,289,504,782,608,230,766,545,688,613,573,728,
212,279,781,888,361,745,370,208,246,208,740,385,387,331,059,533,240,316,042,
588,841,111,289,064,340,837,204,022,495,087,967,359,771,109,283,167,560,434,
612,858,189,431,322,788,379,339,335,699,656,224,549,573,738,575,106,807,750,
868,542,517,538,156,900,247,735,211,216,190,071,126,398,159,153,099,024,560,
965,671,330,766,630,059,664,706,271,940,764,581,310,403,947,733,256,181,209,
584,523,326,678,445,257,214,648,016,934,806,259,485,757,597,065,985,135,810,
286,022,597,533,183,978,583,340,046,501,654,392,248,184,070,163,535,241,920,
438,549,971,770,142,647,844,884,320,037,567,186,102,527,755,822,098,859,906,
883,833,696,715,716,184,423,656,168,321,499,372,344,677,563,820,122,229,198,
749,357,099,795,264,111,786,843,967,673,427,883,390,750,371,214,090,576,921,
950,038,312,573,654,997,832,660,885,520,289,975,440,401,068,522,069,985,362,
218,888,191,665,195,571,477,513,166,600,800,729,581,216,292,513,667,169,423,
361,712,585,286,836,038,625,418,879,527,318,883,754,778,834,682,124,069,034,
962,136,124,920,490,425,921,975,800,965,854,165,032,277,760,339,471,964,074,
197,341,017,114,899,657,345,563,588,463,674,854,487,872,650,545,458,888,468,
755,658,747,629,351,255,043,911,095,475,646,357,031,945,040,003,158,673,309,
405,830,216,670,303,136,386,722,885,513,483,342,909,326,693,886,880,711,567,
190,071,735,956,884,043,906,897,415,756,841,709,986,496,516,647,271,386,022,
333,472,178,166,436,390,971,588,997,733,514,644,034,645,378,536,360,939,439,
314,588,024,706,965,164,996,567,825,808,747,318,867,649,264,957,672,849,390,
495,574,734,756,724,928,893,537,860,538,131,481,291,523,864,284,993,103,368,
805,538,312,124,609,353,946,460,118,621,939,607,648,292,519,583,756,649,326,
637,544,657,175,076,010,793,849,461,834,298,399,619,006,255,761,803,286,205,
467,707,471,133,186,999,630,484,687,984,520,320,393,461,088,234,053,913,528,
035,592,545,248,693,986,771,556,950,858,346,012,262,835,743,933,297,483,472,
003,187,275,151,364,464,406,669,818,231,255,919,635,668,408,097,885,965,655,
355,196,681,736,617,659,681,364,789,649,344,206,435,970,897,854,985,583,108,
916,500,841,376,178,172,661,874,225,695,986,638,634,960,747,815,752,980,003,
029,377,002,543,736,685,783,842,973,566,845,531,109,119,438,063,832,576,652,
492,288,380,245,587,613,494,424,950,668,583,416,568,151,388,725,772,685,988,
006,432,951,102,948,442,096,624,817,778,315,821,272,552,771,344,301,496,863,
997,780,465,715,081,042,854,096,198,280,353,603,487,880,336,687,041,061,977,
658,541,108,106,907,739,368,606,085,405,668,281,780,096,968,014,268,007,624,
025,647,217,753,448,198,034,286,057,663,461,458,253,706,196,168,973,960,347,
148,262,418,041,121,680,606,476,608,922,287,394,386,556,948,112,685,472,422,
353,890,648,327,364,292,563,115,104,097,687,973,233,637,998,270,698,788,360,
782,952,406,903,001,890,007,996,149,303,779,549,331,115,590,942,258,880,561,
245,885,521,624,318,913,892,859,574,216,281,765,317,549,379,184,286,676,961,
368,366,368,968,761,728,403,957,467,944,268,032,984,591,849,164,091,501,523,
115,817,144,929,257,770,158,797,891,873,607,810,531,466,372,101,048,222,925,
991,331,705,652,647,545,154,426,325,497,754,039,491,377,129,569,958,815,620,
189,801,929,355,017,723,566,857,347,618,651,209,443,118,317,677,143,681,122,
606,168,393,956,009,354,590,863,354,051,020,016,341,920,165,740,793,627,999,
634,990,060,795,829,762,685,574,745,379,624,818,712,228,967,641,867,175,387,
066,493,012,642,946,788,136,691,919,788,002,854,933,925,759,412,118,444,141,
663,089,112,672,633,060,829,037,377,854,634,315,681,143,744,910,483,704,252,
094,928,311,656,718,058,598,780,219,000,699,575,893,013,482,365,507,922,891,
030,162,250,160,376,805,284,983,043,000,296,074,798,577,788,135,447,017,663,
155,349,617,042,312,557,440,660,627,963,554,665,664,146,208,247,117,693,109,
114,695,318,954,254,809,722,823,702,204,556,062,761,901,065,521,693,577,267,
866,359,008,441,305,295,349,746,870,466,476,298,250,942,010,896,773,583,778,
065,696,526,937,620,811,075,753,553,794,048,506,225,458,256,657,414,440,180,
649,354,979,189,773,265,094,997,356,901,592,374,805,558,016,174,208,228,988,
464,082,831,281,710,041,283,408,234,479,461,477,173,906,904,589,066,277,441,
637,181,704,220,370,466,969,132,402,600,427,663,409,550,102,579,542,697,202,
930,918,549,596,061,842,326,924,200,093,429,132,072,836,966,016,160,162,534,
612,608,619,641,882,045,255,441,019,196,967,521,391,366,124,668,341,388,271,
981,508,767,179,341,686,656,737,915,034,855,858,106,553,286,299,452,278,679,
457,695,007,881,395,262,417,486,915,530,179,691,097,499,128,635,418,040,752,
866,850,325,450,312,300,723,312,874,296,667,630,044,538,506,388,641,042,120,
052,751,563,215,282,938,790,109,448,471,116,082,057,038,830,572,818,709,594,
574,651,973,727,671,949,509,728,624,259,896,890,601,301,056,135,190,653,533,
139,922,934,881,933,490,175,379,323,022,278,305,197,874,245,463,452,902,466,
140,762,419,952,671,593,834,173,011,914,285,127,316,195,809,064,950,804,544,
656,304,700,809,109,628,885,320,631,254,780,748,074,332,139,602,642,304,918,
915,723,669,727,519,423,148,046,527,666,734,681,055,095,452,877,214,703,506,
125,944,644,938,566,884,811,627,763,177,378,042,338,405,666,283,306,089,830,
620,613,437,573,128,356,824,851,298,441,561,476,849,646,166,640,750,467,264,
571,648,927,083,472,097,223,161,092,850,846,205,761,949,513,330,692,080,348,
419,032,247,282,686,641,486,322,113,441,047,151,163,639,489,123,040,298,812,
362,240,746,659,730,869,679,087,968,170,576,401,132,130,398,143,300,082,777,
524,955,357,712,537,840,212,972,763,531,467,483,870,449,718,988,586,924,222,
832,279,211,582,806,871,950,375,269,652,282,998,343,295,520,392,603,679,478,
446,914,285,872,569,510,493,291,044,727,773,951,307,284,305,231,835,791,413,
147,584,493,532,048,585,399,854,638,378,261,855,673,049,114,334,342,844,858,
457,066,956,163,724,738,693,910,947,083,175,762,544,325,122,285,859,464,023,
194,123,083,608,798,475,518,373,535,455,514,445,734,343,461,184,340,039,378,
165,996,520,506,152,844,703,857,634,231,678,112,391,086,842,396,536,101,726,
296,052,717,480,440,871,352,307,241,251,821,121,265,494,818,676,771,779,638,
421,830,315,397,786,802,256,635,780,158,213,913,717,579,951,278,668,201,501,
951,542,651,293,393,205,242,179,955,145,060,464,255,255,257,188,692,737,333,
078,271,150,763,910,238,397,697,974,026,024,019,322,713,066,403,447,459,524,
348,231,901,303,445,079,696,280,001,728,513,579,247,327,089,028,973,345,893,
917,282,958,629,826,253,178,723,438,143,799,743,158,171,081,626,451,789,507,
818,681,488,328,372,272,147,846,471,572,123,411,131,965,562,489,655,958,957,
930,326,201,346,231,974,361,045,956,665,471,021,976,065,078,850,908,158,252,
851,882,463,324,393,508,615,299,520,315,314,647,789,012,560,813,084,254,052,
095,716,999,267,384,792,453,398,617,581,441,291,472,544,147,563,534,459,612,
031,691,901,489,795,682,730,559,839,931,464,772,162,359,650,565,907,943,224,
668,829,343,775,831,577,795,383,599,694,550,058,763,870,333,003,501,831,246,
944,077,005,838,064,866,567,675,379,211,381,972,608,149,467,272,391,189,028,
596,022,669,703,308,941,541,343,299,075,773,015,878,313,590,323,414,339,441,
339,402,560,764,968,964,623,080,285,400,233,399,192,197,457,083,585,745,669,
603,229,796,382,528,340,081,126,398,676,790,408,874,706,699,594,236,728,904,
271,319,037,357,499,791,517,371,263,201,872,008,563,794,249,115,199,960,180,
131,066,577,973,017,050,492,192,400,210,197,603,778,864,190,403,322,462,881,
498,288,761,255,391,090,961,193,401,452,308,782,877,885,838,557,896,582,964,
291,765,185,375,286,821,922,193,578,033,209,719,747,529,833,211,841,801,674,
374,300,387,438,216,256,132,901,587,814,362,704,423,351,713,886,544,427,932,
245,450,844,707,765,877,417,834,765,664,077,960,285,473,619,997,940,314,647,
662,756,078,421,077,596,135,110,461,266,009,463,587,196,748,984,579,862,903,
647,819,866,691,190,427,815,029,449,048,077,215,349,655,375,270,877,944,758,
434,156,886,514,783,310,845,299,208,205,351,430,466,869,842,261,504,603,617,
835,485,202,702,221,493,179,789,426,461,274,657,295,060,826,836,031,136,963,
259,147,100,144,902,818,930,241,255,380,411,208,946,635,387,802,101,205,753,
736,290,850,695,930,283,871,406,072,482,243,786,635,774,831,430,232,750,457,
364,142,845,934,564,945,422,576,357,750,277,125,662,879,709,039,030,789,030,
643,741,485,603,248,348,538,892,589,078,531,429,409,555,240,809,275,035,895,
585,588,462,462,708,664,753,148,009,234,902,495,791,064,010,804,288,717,557,
097,438,740,842,538,124,565,051,494,116,248,130,496,954,240,723,553,201,222,
533,987,990,355,424,784,952,944,464,742,145,525,881,695,339,598,505,845,403,
008,790,998,916,236,102,599,277,968,864,074,791,129,630,688,638,223,004,661,
665,633,503,247,735,926,106,209,533,515,202,428,706,967,328,251,486,068,420,
919,881,405,691,600,931,572,960,724,645,207,447,411,645,917,003,990,130,396,
040,490,172,486,244,082,662,357,511,140,753,367,989,883,865,690,314,422,705,
364,873,277,199,593,621,838,126,227,826,035,306,599,753,303,043,097,756,486,
878,834,804,895,135,101,993,191,743,058,504,614,805,491,707,920,806,531,729,
803,428,833,767,678,368,478,486,108,828,015,407,845,530,954,164,537,843,909,
290,463,060,921,503,433,944,251,448,616,802,041,879,577,016,215,216,580,899,
654,556,418,662,762,928,325,934,330,620,688,276,399,552,117,378,878,004,616,
483,207,350,561,632,267,835,937,453,195,425,386,577,549,571,243,394,176,200,
681,325,306,553,497,892,693,210,114,960,828,176,536,847,210,509,062,678,025,
417,693,366,327,817,832,199,145,011,503,510,389,632,557,243,631,789,410,896,
173,190,443,077,873,112,246,933,206,845,169,404,923,350,182,894,092,222,754,
473,804,259,068,033,953,924,636,087,413,485,690,456,862,762,372,347,130,581,
580,400,472,775,197,635,687,321,179,762,373,586,214,334,874,274,585,060,766,
746,852,570,459,101,549,989,984,600,205,100,935,687,209,370,073,379,802,527,
168,431,507,042,564,887,829,617,230,427,033,125,155,815,101,231,180,249,846,
648,486,583,654,502,949,223,462,411,447,093,928,388,297,784,963,751,686,030,
569,934,083,716,628,747,763,053,849,306,584,019,521,837,150,754,016,261,418,
769,392,366,585,401,067,693,638,896,670,956,224,360,670,616,005,169,633,653,
627,629,556,308,190,240,585,272,388,328,791,975,660,067,675,976,025,098,322,
241,796,519,369,674,649,355,152,276,106,116,476,058,202,056,388,371,431,059,
700,510,098,258,491,618,391,956,519,935,825,685,750,014,194,775,473,432,705,
859,813,042,411,145,741,155,649,211,691,333,272,950,917,933,493,289,828,226,
858,346,978,724,223,884,156,395,161,648,673,947,997,968,593,726,229,875,245,
750,666,416,782,099,203,617,273,392,902,439,315,228,013,607,635,394,283,129,
531,299,474,763,626,903,067,356,158,083,253,450,722,767,091,704,145,732,851,
293,485,935,434,791,588,344,940,126,369,623,205,660,519,669,857,576,355,460,
592,342,863,305,264,023,709,711,986,777,960,274,894,183,330,278,530,476,001,
565,164,793,469,901,773,538,293,415,959,155,113,511,199,353,963,006,947,212,
536,933,209,460,712,545,970,068,456,014,503,421,019,307,595,307,174,518,138,
589,399,407,161,036,234,544,272,554,436,848,956,533,911,130,551,831,834,140,
081,270,263,702,775,389,325,723,612,296,855,755,099,712,326,170,350,323,605,
138,994,738,122,025,766,003,356,368,053,753,470,492,814,409,066,506,370,244,
474,078,022,406,113,884,075,221,968,015,499,803,942,756,817,927,074,195,324,
852,975,998,313,724,948,867,909,743,867,597,331,969,004,605,930,762,644,792,
471,879,129,306,997,007,731,287,414,228,501,756,564,497,694,587,712,564,883,
034,756,860,025,463,807,846,654,361,140,059,638,392,354,106,808,294,977,267,
841,556,563,634,819,580,154,444,547,620,091,801,986,206,710,649,695,724,777,
376,345,190,815,664,560,493,011,851,810,669,356,336,630,822,724,597,230,793,
465,026,555,437,026,973,172,040,179,053,201,790,179,899,026,607,994,348,142,
990,207,714,414,570,969,030,007,868,159,235,903,312,681,505,669,464,887,064,
459,961,388,935,527,574,111,820,033,699,265,093,292,866,046,311,015,816,410,
382,033,823,023,491,772,863,562,181,366,506,639,551,628,687,452,476,576,995,
456,914,216,265,611,985,876,487,891,787,946,485,834,284,264,306,601,351,444,
824,555,408,773,860,216,675,181,063,585,455,592,133,903,855,639,161,895,018,
136,057,882,161,527,673,432,404,428,859,191,270,089,663,357,053,989,400,048,
325,774,198,000,033,359,165,611,788,655,882,249,176,646,902,476,627,191,199,
859,091,497,418,770,562,938,791,850,327,580,772,566,770,940,003,234,808,886,
273,779,642,418,197,635,675,447,444,952,683,802,066,834,466,607,838,302,452,
054,131,905,767,684,325,483,461,367,772,372,956,694,656,016,503,790,551,645,
351,170,615,931,496,435,643,921,911,133,391,723,585,944,399,021,000,548,168,
092,676,127,239,863,215,542,448,645,281,603,036,444,848,099,317,434,660,055,
238,704,747,368,844,813,702,463,565,608,317,137,006,379,585,399,803,440,471,
973,339,576,458,484,446,408,470,664,113,892,345,833,666,723,130,474,343,515,
325,683,358,788,909,750,856,810,145,739,694,084,952,968,957,847,080,027,861,
661,073,382,164,648,453,587,783,612,764,229,141,157,682,044,450,044,789,874,
862,398,654,616,882,273,375,566,447,595,049,738,044,102,365,933,009,162,008,
785,145,227,364,136,412,406,437,931,758,784,767,715,690,392,317,731,369,572,
607,088,553,030,746,507,762,764,810,472,253,157,617,723,837,890,252,709,886,
212,429,885,438,177,686,951,514,130,068,502,458,560,380,750,096,424,360,082,
653,332,423,654,634,659,606,423,133,546,458,386,942,331,611,568,476,357,218,
267,303,986,133,133,309,776,468,377,719,718,772,730,490,837,308,187,889,601,
042,711,892,049,545,990,455,916,751,390,202,939,444,813,382,998,581,305,217,
808,598,768,795,177,254,340,782,420,542,918,388,303,347,598,362,412,343,610,
236,822,840,810,519,248,023,991,285,151,302,606,871,623,329,499,307,984,228,
070,470,015,806,538,308,519,703,448,645,776,524,518,418,224,216,860,374,860,
142,142,023,860,606,219,708,239,190,472,610,442,807,828,034,824,826,462,921,
050,925,617,235,485,230,125,526,308,245,104,537,578,917,931,456,149,531,265,
471,158,489,618,675,477,928,124,968,432,636,200,016,040,457,433,405,022,887,
886,031,656,177,930,643,450,903,546,097,059,388,130,356,978,316,575,893,220,
478,108,791,595,603,715,587,014,998,846,670,396,322,819,474,495,214,352,946,
513,525,052,770,737,863,826,722,389,236,886,876,356,221,381,823,563,401,445,
219,665,020,448,983,356,403,316,397,804,443,657,813,834,072,000,664,531,589,
482,100,408,951,675,685,466,966,656,639,152,192,618,921,267,396,418,125,753,
983,530,318,943,124,407,096,324,285,636,213,341,109,471,616,807,087,672,001,
861,850,381,975,979,678,622,000,370,115,212,028,115,395,709,308,891,835,159,
530,395,570,420,663,050,615,618,309,961,925,158,707,898,862,220,515,438,762,
766,385,739,613,045,235,114,111,698,232,645,250,717,513,166,614,427,566,375,
557,945,467,830,114,066,783,300,851,891,961,079,775,077,504,920,678,697,623,
754,487,830,264,215,582,234,332,560,325,803,212,927,802,676,759,929,754,170,
540,404,311,546,552,817,466,904,843,103,671,373,845,326,163,523,688,026,805,
128,278,605,509,437,745,016,875,871,569,303,354,237,100,986,336,770,310,873,
115,161,239,804,425,145,318,031,406,543,018,266,747,741,017,522,100,826,629,
434,504,739,315,971,575,491,193,561,778,476,367,355,494,431,139,620,469,610,
048,876,074,215,896,236,101,351,988,418,361,181,850,330,197,775,539,227,719,
748,451,644,750,284,822,791,819,790,092,540,077,570,806,857,927,240,106,209,
056,997,913,529,700,879,012,810,385,553,912,407,340,473,809,831,142,901,147,
730,636,177,644,916,921,852,841,931,878,977,593,430,806,812,118,786,086,095,
704,143,852,443,645,523,602,204,394,904,408,537,656,160,669,116,652,282,798,
121,959,313,998,953,080,962,271,425,184,993,489,687,854,864,577,168,697,881,
214,259,754,463,010,888,577,669,818,948,346,444,332,846,292,228,754,247,834,
900,783,221,457,411,395,846,390,729,419,123,247,444,972,430,185,140,788,286,
673,838,549,147,512,810,424,353,718,239,908,254,301,615,957,338,099,060,530,
494,374,316,705,713,918,964,197,153,470,244,242,461,947,624,368,064,302,504,
368,831,456,014,143,159,411,397,910,500,540,740,165,525,150,647,476,369,659,
431,953,819,459,786,578,882,866,152,121,987,797,200,046,019,793,944,347,989,
421,990,515,658,504,652,505,600,512,610,228,551,892,506,941,499,711,041,497,
820,499,260,356,951,671,320,310,863,194,037,441,985,626,828,107,034,460,290,
802,011,603,838,786,915,596,785,532,115,250,417,575,680,489,536,025,957,782,
574,707,883,797,752,063,475,406,727,667,172,421,241,548,486,469,142,493,594,
871,355,165,033,597,280,716,789,475,184,745,475,610,762,600,891,051,555,327,
618,178,080,545,524,096,671,747,684,268,442,611,080,889,333,698,033,863,117,
743,607,009,622,453,394,496,852,410,570,702,552,641,970,664,599,872,462,350,
832,231,760,637,348,432,035,988,356,602,396,749,057,955,977,529,045,600,129,
458,962,864,252,600,110,330,998,598,388,242,057,641,465,333,503,090,381,722,
910,653,339,887,667,133,352,030,215,911,566,323,117,609,602,624,560,068,861,
189,455,098,754,432,649,499,164,856,446,441,485,965,944,330,134,169,348,234,
900,384,577,966,203,124,591,112,914,269,066,286,370,684,547,242,036,588,527,
459,298,843,370,908,934,321,851,285,131,492,184,866,048,013,903,010,376,793,
971,018,485,614,320,425,190,710,502,482,840,967,431,259,659,979,307,166,290,
138,949,774,226,170,187,363,838,664,243,960,438,170,758,880,388,333,859,517,
173,438,008,296,086,955,152,044,732,579,195,113,849,113,218,952,797,444,167,
865,853,281,588,490,818,648,939,769,632,292,039,166,500,937,722,347,621,061,
910,350,671,441,652,775,150,190,646,976,266,146,735,783,551,547,804,986,005,
564,056,850,436,098,797,935,441,735,253,653,582,949,292,857,325,489,937,083,
132,121,534,834,350,704,448,594,369,581,151,843,848,383,672,784,059,284,756,
945,510,066,439,594,960,788,722,501,284,035,743,381,796,647,444,663,722,026,
615,129,640,878,772,912,822,210,972,268,771,885,031,616,157,711,486,532,389,
398,995,094,152,496,656,506,951,184,978,187,309,194,386,713,595,648,204,597,
346,738,016,863,149,705,437,030,889,066,249,300,032,249,200,768,094,842,659,
525,936,552,070,646,661,773,475,386,608,485,300,213,246,938,614,204,430,981,
999,703,356,293,889,504,711,363,115,018,388,990,748,025,701,961,240,017,686,
237,656,502,029,943,766,272,506,969,903,084,238,714,972,946,152,062,786,138,
027,930,785,063,573,531,202,909,822,347,994,371,504,123,314,563,226,017,247,
211,962,630,299,475,530,722,632,941,865,548,574,250,826,664,495,574,369,541,
512,336,358,816,360,604,149,693,745,304,385,191,182,279,731,278,110,716,351,
983,755,702,631,942,161,624,391,782,125,356,015,690,868,238,085,757,152,730,
463,935,715,427,578,746,548,284,660,384,529,388,600,001,001,539,869,217,220,
461,201,110,952,697,738,140,955,805,428,928,975,312,390,711,516,801,493,975,
070,062,922,036,393,550,980,663,372,624,801,174,538,560,607,646,437,416,659,
468,192,167,387,707,558,487,354,734,557,863,560,312,463,827,030,586,788,152,
902,918,560,252,828,162,566,807,489,577,699,915,177,959,132,413,882,181,578,
308,845,171,785,174,419,767,268,580,067,218,509,436,047,118,824,940,286,786,
915,764,008,222,728,170,109,297,266,342,312,388,454,749,702,705,569,256,756,
890,056,384,093,160,298,208,306,908,889,429,665,178,151,541,392,710,877,508,
329,040,935,471,375,363,452,208,123,641,952,939,889,607,085,732,972,819,222,
875,337,226,623,194,137,735,637,001,055,594,381,334,404,978,470,312,978,486,
239,830,643,858,652,883,759,421,226,838,520,938,384,776,094,009,439,926,172,
844,257,196,297,236,042,466,516,996,764,745,437,769,216,454,150,816,387,228,
829,706,614,327,883,474,311,338,739,576,178,872,984,775,582,680,609,821,211,
399,654,119,678,860,707,002,281,270,815,014,440,835,718,981,956,423,082,154,
570,209,347,315,117,849,694,121,834,317,007,077,876,727,858,598,446,812,880,
291,375,612,769,169,970,910,384,741,551,293,951,996,417,996,367,848,675,891,
241,213,956,072,638,856,560,994,859,019,890,145,237,672,799,470,677,735,033,
776,324,859,647,223,811,477,240,699,623,722,955,092,258,467,675,102,944,546,
753,208,546,767,405,493,764,256,181,665,090,093,022,463,614,085,779,057,923,
533,967,582,834,551,275,633,309,482,886,895,894,925,324,697,766,032,482,201,
579,935,059,929,698,895,271,882,515,796,482,582,865,128,745,448,490,355,102,
904,499,428,009,933,179,012,546,890,178,288,732,927,961,431,656,202,360,650,
793,506,957,366,224,475,032,363,616,654,646,382,942,985,280,217,008,257,169,
804,517,021,224,786,613,036,867,060,879,413,559,321,594,225,382,398,205,510,
357,433,172,690,323,881,553,147,630,346,294,904,143,734,870,225,247,662,418,
212,814,307,772,135,578,577,748,552,011,581,789,956,292,237,740,393,270,986,
785,384,264,778,277,033,106,541,062,274,946,233,263,625,062,958,220,135,144,
987,826,698,419,066,685,298,262,948,753,550,000,530,558,945,355,072,241,866,
200,620,213,535,756,003,574,960,915,621,141,830,466,168,220,560,157,704,821,
360,238,188,139,248,218,237,632,529,513,971,747,841,918,347,429,849,428,397,
317,041,606,181,383,314,454,617,798,174,092,399,844,831,519,705,062,932,887,
438,684,724,937,297,505,676,596,683,387,950,314,913,427,201,013,524,769,671,
427,423,599,506,049,248,757,947,084,114,184,287,542,426,165,749,241,494,397,
710,319,537,821,779,733,489,016,089,190,989,310,438,690,157,532,667,296,218,
439,078,948,006,421,221,777,174,642,403,663,388,234,472,488,081,153,685,213,
892,632,760,633,548,856,581,604,714,457,476,032,256,044,870,050,480,601,860,
870,095,445,740,104,469,434,681,614,683,507,487,493,723,875,829,332,115,446,
112,239,159,929,290,481,350,273,653,955,978,553,035,119,180,232,650,837,595,
089,044,210,991,779,840,890,429,660,714,161,379,776,065,165,962,659,964,481,
326,381,824,554,492,235,598,589,842,109,561,165,551,146,084,343,252,633,010,
820,969,580,646,340,148,249,332,356,372,969,780,110,711,030,180,531,580,267,
961,816,259,553,104,258,987,875,201,080,135,566,508,419,790,346,303,416,575,
551,712,031,832,202,653,103,424,776,487,930,161,720,698,118,827,584,154,404,
668,337,758,790,741,112,226,986,144,927,535,006,119,087,999,023,341,977,039,
920,322,848,015,382,063,732,735,429,567,588,973,491,896,786,358,324,712,943,
301,965,756,692,672,884,467,413,310,295,569,203,677,713,362,603,515,140,186,
856,725,478,671,330,156,278,447,164,797,434,649,360,733,533,945,452,073,198,
262,273,385,879,290,715,974,290,954,921,501,333,369,969,040,099,230,234,494,
493,463,809,524,533,721,141,217,826,522,948,579,520,598,451,340,570,864,385,
646,523,198,479,361,851,607,179,123,075,099,092,466,110,631,170,468,385,900,
977,272,696,627,820,605,960,167,442,560,932,218,000,010,823,457,348,258,660,
291,207,656,282,638,207,029,528,477,521,470,329,395,800,636,616,205,495,136,
445,592,938,718,760,633,530,820,941,372,782,582,862,208,083,570,588,346,684,
090,801,032,740,363,092,915,329,859,199,303,931,821,556,491,466,802,645,839,
101,069,210,023,022,097,492,481,240,304,010,442,763,722,037,058,234,847,310,
264,018,991,249,570,679,765,013,136,892,313,491,063,279,919,020,695,798,417,
254,021,743,142,990,243,008,229,545,473,543,102,906,250,702,143,098,607,526,
109,729,145,625,235,453,779,365,023,220,218,994,129,923,262,012,684,213,708,
812,976,610,915,908,988,381,388,659,908,334,362,687,827,332,392,790,135,966,
766,955,283,215,983,112,197,895,765,066,228,343,443,395,583,440,781,645,592,
710,866,556,928,851,299,495,220,512,344,348,578,401,412,913,649,718,365,712,
362,357,377,599,272,562,248,574,827,690,882,762,548,154,740,152,110,826,492,
299,973,098,724,873,773,683,628,198,049,809,548,363,891,590,261,038,545,904,
984,805,588,422,988,935,658,407,688,107,153,311,494,983,835,298,075,264,491,
554,963,739,070,302,580,221,721,257,201,713,456,807,926,191,949,329,232,349,
414,284,590,878,534,796,229,081,430,174,124,688,326,318,117,663,606,721,395,
143,307,904,890,118,480,225,315,829,782,270,445,127,582,977,584,811,695,724,
889,573,277,894,492,685,038,296,650,843,243,865,963,631,018,254,096,224,027,
619,861,700,483,193,605,897,896,129,796,866,659,307,582,635,835,053,920,988,
842,218,329,481,336,345,574,379,146,100,568,699,053,769,370,276,314,141,284,
141,811,219,729,611,600,579,653,787,424,435,316,557,522,787,186,741,866,063,
406,201,753,190,545,650,572,514,410,363,233,338,526,866,626,240,091,996,777,
013,747,374,466,276,000,197,688,382,649,393,224,027,511,403,378,216,066,624,
200,387,586,046,690,071,332,033,138,820,975,860,549,317,212,207,779,197,784,
559,849,642,070,687,329,379,435,647,700,465,251,236,830,123,412,657,451,180,
389,227,272,985,183,844,130,411,983,887,661,634,856,253,384,724,804,711,254,
433,835,096,622,909,383,494,897,656,522,835,539,246,212,311,687,604,310,616,
045,311,377,603,300,352,061,359,831,421,017,515,907,603,270,957,197,016,656,
711,501,287,131,457,859,011,182,056,119,295,615,883,205,612,995,589,009,206,
939,898,683,802,477,262,754,750,020,486,022,034,923,006,402,077,007,551,641,
452,623,486,151,863,932,012,177,731,728,904,008,817,884,081,410,197,670,837,
628,942,206,806,425,035,675,192,126,937,907,805,420,853,165,609,703,656,934,
730,833,703,650,384,132,920,704,795,346,238,172,530,625,784,195,583,081,316,
392,646,774,295,354,160,666,306,187,739,662,778,783,802,087,010,871,347,328,
750,792,160,893,687,206,376,674,095,289,683,975,808,196,511,001,872,848,884,
813,957,278,971,488,334,789,485,006,399,715,669,729,584,014,050,792,588,657,
658,034,108,869,755,046,054,917,401,509,258,449,592,913,227,567,265,135,451,
663,931,769,109,993,232,430,649,060,478,249,862,029,413,583,516,871,569,503,
474,293,009,257,228,704,642,456,989,252,427,021,645,717,407,950,083,327,755,
926,472,495,253,051,882,542,054,930,106,221,625,202,678,494,230,834,969,958,
319,297,671,743,033,876,805,380,718,242,446,174,651,573,870,210,456,202,036,
596,673,633,657,908,432,940,307,086,901,530,211,861,466,389,410,027,272,912,
392,393,457,866,533,364,971,280,448,927,817,986,469,566,933,186,202,994,424,
509,121,071,426,105,915,476,893,463,014,358,309,568,627,729,387,332,090,637,
510,256,189,025,847,974,562,908,540,351,523,128,186,718,784,875,680,625,456,
262,880,024,545,548,993,462,524,378,494,311,192,973,844,682,799,970,151,875,
416,227,780,108,200,775,894,202,101,046,918,870,476,089,117,849,969,463,842,
443,021,445,769,222,151,636,885,914,211,055,799,229,527,617,323,059,795,660,
153,966,724,814,012,166,030,686,450,188,919,288,265,451,122,443,281,099,239,
366,418,112,361,471,140,899,549,391,336,519,731,209,704,880,892,975,316,263,
102,910,490,919,962,470,244,651,448,938,372,372,361,172,534,669,006,396,359,
744,176,216,189,068,993,740,408,883,992,751,074,828,890,461,438,582,628,605,
749,856,549,055,841,228,943,554,180,571,277,924,545,536,502,326,881,050,304,
657,208,900,666,622,365,355,702,162,522,371,970,102,473,304,197,573,759,322,
842,504,093,610,681,941,640,585,356,424,967,440,538,914,103,012,022,056,433,
976,219,374,488,843,611,887,286,276,743,321,565,384,532,723,522,847,041,223,
867,743,995,843,920,696,347,294,931,104,012,030,577,143,460,091,536,155,271,
450,461,041,572,592,470,154,175,617,742,297,947,183,862,018,668,629,904,565,
133,999,114,127,459,321,441,560,665,840,874,733,275,022,055,912,993,325,720,
200,118,099,043,656,997,840,035,113,049,935,115,701,301,169,244,106,976,658,
198,397,374,347,117,528,978,777,038,769,685,331,542,541,173,138,002,749,543,
447,747,589,115,896,064,984,382,302,846,326,053,668,221,574,941,950,336,039,
065,382,018,022,379,726,947,021,738,506,596,374,524,275,631,608,448,554,082,
035,408,597,993,629,117,781,292,949,091,559,114,049,565,930,620,255,098,251,
387,671,133,306,720,368,502,640,468,732,257,584,560,624,067,914,004,389,311,
584,451,877,522,641,023,235,090,842,198,308,970,099,039,670,250,448,523,329,
138,686,717,488,035,325,423,822,124,862,233,375,867,105,835,224,882,903,010,
452,313,110,739,783,601,335,680,498,526,045,531,463,468,549,045,581,338,298,
106,760,078,217,670,494,999,714,883,078,704,015,346,786,965,319,957,558,120,
951,808,638,490,913,430,400,827,783,958,084,953,010,205,691,671,654,429,904,
217,735,027,446,349,099,539,799,176,322,094,434,191,981,748,615,424,420,558,
218,192,564,014,739,056,604,949,125,173,372,684,272,019,900,013,327,804,164,
601,603,524,235,209,273,333,148,432,207,432,764,006,636,972,648,906,404,601,
235,401,476,707,330,311,047,281,774,285,356,433,054,795,080,305,119,755,307,
933,000,899,653,113,460,346,383,301,330,974,196,919,606,787,734,517,483,778,
867,550,352,115,744,168,281,340,513,345,983,432,953,397,180,799,975,475,837,
085,176,621,150,240,038,274,989,380,331,708,201,630,649,033,598,023,865,069,
349,211,970,489,040,924,186,029,880,629,954,395,982,873,469,513,161,874,229,
394,777,849,327,089,113,745,581,559,203,334,525,293,668,248,896,708,603,004,
898,880,825,312,527,463,011,334,706,051,929,820,662,446,174,453,773,481,003,
374,968,044,592,943,896,005,522,769,431,703,179,772,089,465,801,750,005,089,
976,246,124,668,731,710,661,908,834,332,979,523,415,136,669,943,263,366,484,
493,209,557,280,706,127,048,107,417,762,389,341,313,818,257,231,809,311,411,
481,843,234,199,800,835,812,625,084,482,871,128,173,879,592,646,292,393,138,
671,961,601,326,200,140,654,225,856,622,230,834,864,205,160,132,354,757,899,
570,233,322,367,382,114,112,805,901,789,056,659,192,445,745,030,842,799,124,
076,966,319,231,029,522,160,468,131,843,698,341,571,749,966,122,203,909,558,
781,335,967,781,079,337,766,755,630,641,969,065,371,889,705,899,425,050,729,
469,522,004,116,400,445,614,895,289,126,632,527,056,319,063,618,729,141,299,
608,135,186,050,465,948,836,180,939,963,758,511,293,246,013,271,582,941,660,
261,334,577,466,237,947,686,822,399,666,415,754,595,637,041,336,073,724,455,
869,014,277,300,342,280,773,422,111,799,453,082,912,145,451,373,416,850,004,
766,362,415,621,508,768,848,444,859,852,133,361,220,960,876,775,355,856,168,
321,724,344,926,465,685,501,657,099,154,598,666,558,664,435,601,042,152,218,
695,217,556,720,759,355,745,068,414,074,399,884,867,378,858,585,849,429,014,
911,884,530,994,589,072,417,080,727,883,105,011,423,085,355,379,075,565,588,
898,821,576,293,385,727,747,387,367,300,498,190,770,495,451,307,906,967,348,
025,536,155,268,887,655,559,334,832,693,919,516,200,070,908,757,347,676,927,
508,888,206,879,531,633,066,652,953,769,017,741,057,424,229,820,605,881,201,
415,487,252,407,207,526,080,716,533,276,383,600,968,071,560,887,802,465,973,
996,340,061,522,339,492,520,963,880,630,077,456,561,822,236,588,354,291,968,
239,833,296,165,312,709,990,342,922,650,385,241,023,347,317,254,676,725,133,
242,072,136,152,329,535,259,377,624,278,435,394,337,813,215,003,257,177,380,
707,717,372,965,121,517,181,288,561,069,183,732,935,960,598,419,341,043,585,
372,053,817,302,009,612,571,623,051,833,146,368,007,281,443,048,238,266,272,
401,864,638,181,483,267,846,799,292,462,009,210,687,560,254,477,628,564,681,
349,740,727,265,152,231,063,095,000,745,751,216,894,389,376,632,043,513,258,
483,852,199,722,649,162,200,299,697,432,167,988,532,543,566,874,394,607,504,
725,169,821,185,597,150,041,791,703,354,834,520,012,768,960,257,713,676,484,
337,693,533,840,163,735,725,678,465,169,979,743,622,098,412,651,307,697,428,
818,056,387,490,734,959,061,897,987,806,319,758,967,320,514,814,658,624,951,
339,172,489,794,027,012,578,050,801,326,421,157,391,677,550,424,114,670,085,
240,255,116,913,718,295,532,050,073,610,248,523,933,961,367,179,014,783,023,
856,892,302,023,770,249,058,630,408,827,580,821,553,547,907,760,988,518,004,
308,207,361,940,554,569,078,158,335,569,162,809,170,590,708,730,730,763,064,
674,432,083,059,160,211,787,794,214,963,081,724,602,696,606,423,292,526,415,
089,993,765,608,317,734,633,418,479,720,735,555,536,555,535,558,708,978,012,
110,567,353,081,687,367,148,484,072,800,028,210,340,822,156,766,074,534,946,
600,211,664,538,899,903,351,171,927,899,385,768,101,699,708,776,469,872,747,
825,584,478,761,206,448,483,179,531,981,804,332,614,803,797,002,149,119,497,
232,377,457,878,273,333,320,122,372,116,551,074,680,876,575,215,508,271,892,
123,572,351,837,747,674,355,797,170,324,924,694,678,869,350,853,815,481,016,
956,865,366,857,967,563,174,716,126,169,126,970,092,666,919,042,504,890,171,
657,559,272,476,584,168,292,647,842,940,137,697,777,863,750,792,644,910,166,
788,687,508,979,045,614,939,970,788,843,712,858,736,176,079,190,623,564,910,
060,076,994,100,461,780,404,682,951,153,147,355,961,708,659,093,262,527,845,
932,867,373,808,731,918,346,293,546,996,472,740,728,671,105,858,216,804,189,
837,347,427,491,160,626,723,860,584,886,357,903,430,730,248,281,266,037,789,
162,182,354,042,536,875,873,816,163,815,607,733,899,361,886,670,438,023,771,
111,022,149,751,665,841,849,377,146,304,209,578,571,484,789,569,356,630,898,
752,333,347,836,112,333,463,423,757,755,801,594,394,544,551,271,606,990,466,
694,529,486,692,015,987,452,216,120,642,654,681,302,231,865,665,454,821,361,
391,983,064,880,282,844,445,002,428,886,978,000,260,685,672,309,553,261,844,
592,480,348,427,102,817,935,664,576,474,333,310,223,187,138,419,300,717,887,
367,654,303,267,031,392,898,321,474,634,793,491,702,105,920,873,838,826,853,
046,419,974,682,681,227,926,473,122,646,419,232,781,546,130,154,397,175,382,
200,368,749,143,008,494,280,066,901,099,836,156,699,776,226,178,661,545,926,
354,164,397,178,496,020,170,223,088,563,470,895,372,564,098,714,610,522,952,
024,470,939,244,063,579,913,084,891,953,350,271,114,542,809,958,605,132,922,
251,639,007,808,989,554,122,156,017,201,020,164,550,241,976,261,787,759,473,
705,413,633,875,463,733,442,256,718,983,449,224,594,917,569,071,658,192,011,
851,880,551,226,921,456,756,722,179,263,389,458,761,611,322,134,425,644,429,
030,730,550,178,529,401,266,198,881,209,014,957,191,757,527,535,826,632,064,
023,470,942,389,992,689,889,849,206,498,483,811,952,455,703,691,998,455,476,
299,736,467,181,460,290,661,291,202,845,723,655,478,770,832,660,599,776,253,
402,719,132,045,700,693,264,164,082,768,349,353,539,413,170,073,516,932,726,
414,237,834,541,829,735,262,620,712,849,676,341,290,590,021,174,452,260,024,
393,237,871,044,216,193,210,549,062,207,417,324,696,082,952,432,502,642,445,
524,478,583,384,043,531,941,767,448,984,136,901,475,103,214,924,382,697,503,
187,479,733,029,199,016,894,876,776,080,152,964,901,610,986,097,815,000,698,
212,566,311,710,055,868,446,029,411,680,774,474,491,082,765,207,356,341,153,
869,710,507,980,384,642,802,290,136,223,905,784,282,571,576,207,949,578,421,
215,648,293,495,374,171,375,182,148,803,088,819,925,463,048,798,094,121,986,
396,654,008,106,295,082,132,131,345,844,480,700,837,688,031,731,981,046,445,
891,490,009,542,881,886,435,236,446,121,865,027,294,331,646,900,089,034,568,
843,321,248,030,491,503,216,688,811,003,540,547,497,275,641,959,942,328,130,
550,264,296,988,466,028,944,217,451,081,871,916,814,622,515,309,095,687,814,
974,775,480,190,130,107,858,756,433,504,140,984,242,113,121,711,689,462,280,
081,567,145,141,112,021,828,979,518,093,264,081,299,432,410,816,386,948,297,
318,303,024,006,891,087,939,837,961,230,076,190,177,883,234,781,142,313,743,
341,410,650,190,339,814,936,879,091,444,014,834,838,218,280,955,712,233,687,
336,286,864,140,009,946,969,745,857,272,725,326,373,916,707,894,581,936,396,
942,325,947,249,618,577,022,696,777,320,404,694,593,498,173,611,574,953,223,
690,556,549,684,859,409,521,794,290,807,550,005,761,638,647,533,206,626,481,
361,217,033,529,297,484,318,392,521,383,163,152,120,398,549,646,447,778,165,
664,401,913,277,936,065,267,777,643,267,219,164,045,726,910,458,433,673,928,
208,593,629,242,765,883,789,477,961,863,555,597,278,461,246,328,620,734,977,
682,857,321,179,594,307,983,802,273,520,358,046,069,200,721,680,762,228,666,
518,583,453,022,992,610,481,143,508,104,734,640,828,053,206,995,492,817,569,
937,590,523,517,899,317,170,316,192,479,608,383,405,248,080,909,643,330,676,
397,422,592,125,991,025,077,706,738,581,096,837,374,020,522,568,938,186,611,
821,651,589,227,478,550,741,302,190,955,547,150,946,741,395,039,269,780,226,
637,522,938,413,056,299,489,255,737,166,337,448,069,803,052,729,163,040,928,
692,927,053,263,977,251,217,964,810,889,568,339,794,548,177,725,210,490,032,
130,286,782,309,507,380,621,632,679,705,875,113,147,554,946,469,255,958,928,
903,479,979,607,949,651,225,315,308,051,189,928,298,841,383,232,655,416,525,
045,240,159,350,874,832,080,229,571,489,519,182,471,293,601,353,434,244,276,
219,371,616,275,372,723,923,290,879,400,802,190,997,031,657,716,398,025,617,
463,024,272,353,284,603,751,745,527,783,886,028,751,091,797,414,481,439,019,
769,058,297,425,130,292,860,023,185,919,617,808,714,696,006,922,555,989,620,
584,336,260,133,725,745,374,688,226,370,483,871,361,740,969,850,717,874,712,
919,932,609,091,701,206,351,038,279,788,087,324,120,989,399,123,127,212,874,
116,660,254,154,787,305,790,363,613,206,595,912,785,341,567,019,759,504,237,
687,827,440,301,086,222,554,413,468,746,863,208,128,308,188,794,464,180,740,
128,511,605,419,308,455,194,914,016,635,500,562,860,405,573,354,099,484,154,
674,985,640,948,559,754,875,736,808,706,391,449,277,594,990,453,933,940,147,
839,925,760,368,343,042,904,992,775,676,618,429,332,592,409,852,101,653,334,
388,725,358,780,951,032,862,489,250,386,732,442,313,723,818,904,401,778,422,
257,775,896,305,486,804,330,162,950,639,563,115,177,093,587,303,148,055,976,
106,278,993,479,405,118,375,941,113,278,919,162,783,515,267,406,263,710,988,
826,322,047,568,091,928,622,060,322,246,027,479,296,709,091,312,972,052,323,
163,138,291,975,094,535,672,601,391,788,714,567,073,431,874,841,864,497,817,
801,934,407,202,329,748,504,067,534,671,579,221,784,746,112,480,592,084,813,
503,535,712,536,397,859,181,852,099,724,633,650,653,973,096,825,785,924,461,
762,060,027,066,071,213,397,758,656,782,836,248,900,348,826,805,646,837,852,
794,929,246,208,214,792,643,635,859,107,727,706,889,411,197,863,950,026,842,
551,098,745,879,772,186,538,480,305,770,321,102,384,576,491,287,640,420,175,
923,448,851,876,514,006,473,116,791,231,036,501,634,002,485,398,958,639,249,
472,673,768,000,609,721,410,133,064,441,624,031,360,886,471,249,663,839,448,
945,191,807,672,177,076,859,276,183,492,304,919,087,056,450,212,770,476,256,
910,778,015,308,057,372,277,121,874,339,444,375,927,648,082,706,600,545,830,
995,690,445,821,083,958,727,027,249,336,674,597,148,322,959,312,338,493,637,
942,023,285,264,387,190,404,977,985,458,135,049,932,850,220,066,302,747,471,
562,118,035,433,552,194,663,033,864,928,228,300,645,029,090,654,723,035,809,
592,142,427,103,238,531,479,968,946,970,581,521,324,069,720,837,121,995,390,
287,630,641,538,074,286,651,450,569,265,880,551,920,469,087,975,550,860,044,
227,032,961,251,065,249,960,915,536,461,193,808,601,785,064,523,828,917,314,
371,820,349,657,303,348,255,110,420,150,287,580,149,239,035,706,759,130,799,
776,616,817,176,281,226,490,370,330,054,973,557,085,907,229,303,124,937,918,
970,892,043,046,114,228,002,659,297,823,833,841,916,969,705,051,274,635,414,
603,506,233,166,997,744,826,608,592,395,331,054,787,788,645,712,935,034,040,
631,833,322,353,257,476,878,247,167,412,965,512,472,873,894,130,074,153,166,
390,548,880,400,253,125,027,363,952,813,054,745,349,342,391,821,979,929,987,
400,324,164,085,968,455,546,956,841,170,308,121,124,177,920,368,640,036,023,
780,908,749,880,755,860,736,787,425,203,942,380,841,833,785,117,728,375,302,
253,889,285,245,206,950,817,637,597,432,042,383,594,123,889,642,917,159,939,
732,874,424,733,631,175,363,864,869,772,299,301,658,441,960,891,313,099,408,
508,038,043,062,867,780,580,242,861,393,880,954,161,325,555,697,679,939,302,
522,141,045,821,138,655,298,318,837,287,348,793,613,240,946,164,729,125,295,
307,465,809,388,555,858,290,511,385,750,131,347,470,980,565,166,636,193,165,
358,052,384,799,686,655,223,887,055,896,786,400,974,762,721,406,536,509,579,
737,438,231,628,166,412,889,572,480,903,510,325,955,487,921,778,391,521,220,
169,117,828,519,425,824,788,236,152,998,194,657,068,604,472,084,795,907,623,
290,209,075,110,480,225,306,715,544,602,906,186,033,204,680,325,223,864,400,
631,101,003,559,356,062,814,011,501,834,644,969,714,669,366,651,725,684,581,
194,416,262,262,161,718,822,575,347,853,180,324,002,490,999,569,936,949,672,
108,072,699,317,393,861,425,572,662,101,229,042,410,011,827,721,791,234,821,
160,894,966,038,537,390,376,881,839,200,623,196,203,875,221,160,721,735,673,
131,465,630,838,530,327,659,020,294,801,444,400,649,585,222,648,618,493,645,
352,732,682,893,966,309,713,059,808,919,634,087,990,557,881,600,799,544,353,
616,540,160,469,825,252,380,030,596,421,058,414,959,725,161,729,022,777,442,
146,535,924,192,312,758,428,295,752,110,668,086,002,660,939,803,963,920,217,
212,236,629,353,447,513,253,464,041,092,115,129,808,300,105,580,066,594,517,
696,706,303,022,364,669,374,935,401,407,327,529,249,344,997,474,388,325,042,
864,064,568,099,316,752,330,692,864,860,219,959,823,514,759,864,367,696,039,
850,853,163,599,656,255,721,486,389,951,923,130,744,632,279,972,009,811,728,
664,069,455,502,166,783,744,279,450,366,054,854,248,232,894,194,841,594,302,
511,406,295,715,250,450,784,458,956,365,431,409,334,652,371,750,708,862,489,
510,729,534,934,350,077,250,697,086,200,753,892,281,767,828,953,429,598,265,
291,239,939,713,350,743,400,183,952,317,474,745,305,015,021,456,798,813,657,
985,488,674,470,865,884,651,527,139,034,130,668,999,880,605,906,585,738,987,
628,418,806,659,344,313,407,765,645,383,359,460,633,338,538,614,892,976,635,
635,634,830,329,341,687,505,099,564,314,346,394,177,582,987,861,145,054,530,
907,658,546,597,718,535,275,051,290,820,685,876,356,326,977,496,516,966,719,
896,103,147,399,615,529,844,268,232,358,941,449,090,495,154,964,522,467,890,
227,910,961,516,265,320,827,138,578,478,117,372,459,789,378,189,554,522,525,
557,745,890,203,303,947,018,154,287,932,927,734,137,582,424,865,797,472,774,
028,470,947,910,095,972,537,161,436,958,635,672,492,932,028,221,678,102,965,
785,832,440,893,265,232,880,339,049,130,111,538,165,009,188,368,008,111,763,
412,713,578,661,502,597,584,155,840,990,239,634,948,668,363,926,598,186,739,
346,247,858,653,580,410,887,153,381,199,819,901,251,019,658,485,604,287,597,
846,706,874,663,709,957,826,281,353,242,420,390,546,099,085,036,949,335,376,
713,229,837,345,083,291,853,264,055,800,457,726,434,605,143,746,975,804,994,
770,100,549,090,356,552,851,378,057,993,321,404,212,611,157,117,323,880,110,
535,823,930,574,582,115,814,585,842,520,102,472,154,523,988,297,101,013,291,
835,548,997,802,928,353,524,183,493,788,151,490,576,264,930,675,125,913,960,
748,403,812,446,789,059,571,920,743,253,385,888,337,320,647,608,411,739,686,
510,643,484,293,135,157,320,616,990,273,595,530,383,718,305,572,153,879,766,
230,445,174,433,616,282,560,713,023,652,794,757,615,065,946,586,441,664,765,
437,316,386,244,037,441,254,936,014,930,771,313,060,907,521,554,544,116,112,
494,294,752,383,823,988,189,159,494,719,821,296,177,434,784,468,320,310,381,
292,885,686,168,457,926,246,726,845,190,552,593,438,935,963,046,867,771,345,
375,843,893,514,629,777,355,779,012,536,259,200,075,966,777,718,622,441,213,
059,633,504,073,687,792,873,671,243,494,692,923,046,342,610,191,625,928,406,
754,644,310,060,136,692,682,214,048,252,605,535,864,527,794,747,272,878,158,
470,470,133,080,325,295,038,946,688,622,351,803,065,730,097,255,794,941,298,
006,309,125,982,124,382,054,938,714,917,511,801,874,898,508,500,527,139,962,
012,779,769,905,475,834,654,143,723,493,609,093,049,891,365,187,376,213,780,
095,555,073,926,970,856,989,580,797,951,419,725,099,289,746,730,588,924,306,
369,245,705,750,421,684,423,255,473,488,376,586,276,803,616,059,784,344,842,
026,572,899,831,089,109,196,690,367,546,191,944,818,397,480,327,157,457,772,
271,077,680,431,226,069,474,912,289,953,205,108,942,069,180,745,973,680,330,
149,361,731,151,219,737,983,146,500,846,965,153,464,989,163,783,003,026,584,
644,034,058,433,578,879,554,708,536,626,221,094,498,505,016,735,223,890,580,
896,683,285,794,708,437,412,194,650,995,305,480,181,402,956,034,049,239,756,
982,591,611,581,051,741,147,550,087,436,682,213,283,605,636,093,776,358,447,
135,608,312,475,303,796,044,494,361,728,656,118,505,126,512,864,334,136,850,
662,783,982,474,689,989,027,677,772,752,672,105,339,718,363,242,216,404,379,
510,948,513,112,628,835,285,082,134,569,462,358,104,957,410,971,998,999,292,
829,133,992,125,564,516,512,409,566,524,026,222,967,420,290,950,291,780,703,
852,390,156,194,308,981,384,021,188,151,426,993,334,540,388,221,752,256,418,
648,921,137,786,941,238,410,258,459,038,319,219,052,835,020,337,736,847,560,
215,563,230,365,065,842,920,259,581,413,977,332,904,864,816,321,428,653,879,
714,791,137,386,011,313,371,674,875,395,050,181,098,618,942,951,806,627,256,
634,055,502,850,840,462,333,542,563,932,382,252,977,372,537,127,061,320,858,
323,406,874,607,126,354,720,042,461,153,670,357,262,567,599,572,693,827,645,
134,822,897,121,382,822,446,113,022,646,924,341,267,626,818,505,338,261,049,
609,416,956,168,347,700,660,059,946,948,851,477,167,492,049,100,796,806,732,
610,590,057,310,241,785,267,909,135,411,306,706,414,562,779,204,277,676,546,
635,519,798,346,461,204,401,027,732,355,807,364,688,986,625,577,086,671,067,
704,331,537,840,312,236,360,745,536,502,607,561,337,117,504,670,769,027,309,
897,933,540,486,990,840,367,404,886,579,282,856,014,840,689,960,674,397,458,
841,682,279,699,161,189,974,109,568,767,681,858,007,632,418,787,047,578,603,
853,594,085,765,751,426,379,425,415,982,065,076,899,136,405,783,231,533,984,
780,109,027,432,331,591,417,509,928,006,213,427,182,377,633,459,699,132,597,
248,117,868,040,288,165,368,698,880,837,019,921,842,756,369,990,459,519,281,
314,993,019,447,894,940,185,340,672,847,291,685,242,639,798,842,436,537,339,
549,448,802,546,491,606,058,963,906,467,051,238,632,979,662,478,973,032,257,
132,365,034,130,585,693,871,164,245,285,887,900,270,168,713,425,849,778,110,
279,033,368,347,462,717,822,162,244,359,981,129,595,138,881,321,046,729,795,
086,749,842,600,407,522,428,952,207,353,523,736,426,726,414,671,538,637,133,
907,495,253,815,004,929,033,488,240,730,985,427,264,739,309,196,882,290,084,
471,359,160,468,803,445,926,706,695,468,154,016,494,517,278,820,754,704,057,
767,053,238,262,157,793,322,240,698,123,092,676,016,834,151,017,737,868,510,
962,840,881,993,055,329,789,626,303,230,536,932,186,358,892,923,560,100,824,
502,068,620,455,063,004,776,246,493,437,314,355,582,168,422,859,522,890,190,
106,291,477,190,605,678,949,788,620,539,523,503,353,945,900,779,539,747,682,
956,183,761,924,258,409,199,941,588,720,910,212,694,505,334,428,277,473,777,
385,828,595,350,096,959,448,394,396,717,792,745,578,178,536,641,068,734,006,
852,117,073,036,800,542,188,367,928,270,192,434,497,765,054,298,010,560,625,
617,273,124,404,565,718,261,712,461,047,337,936,098,157,934,146,775,253,946,
975,489,721,684,629,511,821,166,737,698,629,095,451,649,130,119,435,602,903,
182,123,129,756,802,126,294,910,435,446,058,384,379,371,567,697,854,430,331,
992,964,618,645,610,193,412,557,883,495,948,959,918,449,161,631,454,494,884,
244,280,376,822,650,762,989,393,943,912,228,111,936,713,919,202,245,274,412,
742,743,309,310,158,304,321,351,238,452,963,223,519,221,428,660,003,557,173,
746,876,075,780,912,164,262,888,421,541,686,407,058,446,202,349,946,689,582,
131,164,462,155,673,673,948,186,455,076,769,461,871,664,606,820,140,389,622,
532,085,503,281,142,175,840,665,921,325,837,021,697,034,831,159,606,272,450,
892,532,183,043,072,739,868,982,650,166,242,071,252,825,037,617,882,551,314,
011,905,929,436,800,515,965,328,200,049,004,533,212,333,363,737,480,790,219,
288,979,420,397,732,329,826,382,210,239,134,100,816,149,053,567,136,831,959,
956,025,018,573,757,190,392,583,616,791,490,720,329,541,364,278,109,837,350,
019,905,180,292,470,247,005,013,679,176,453,315,387,842,398,164,812,461,546,
406,528,818,128,268,307,728,442,417,081,053,356,115,697,069,591,595,908,431,
631,478,743,159,012,532,063,607,310,037,373,722,362,792,441,161,619,180,362,
230,462,454,192,240,832,759,371,892,828,579,494,598,838,835,008,169,773,009,
804,245,115,850,520,285,124,011,592,155,877,784,125,319,767,767,768,259,489,
384,913,355,020,955,195,825,409,319,955,550,968,244,213,027,645,402,766,887,
190,826,738,463,505,099,814,275,098,147,858,930,587,184,521,763,064,272,550,
946,881,601,778,563,446,892,260,071,709,998,784,127,408,442,217,580,880,129,
527,596,903,494,058,882,000,221,793,737,429,612,051,192,248,841,167,558,469,
794,783,460,479,733,723,084,940,843,597,069,087,350,823,182,664,286,644,791,
449,193,388,926,035,580,091,354,192,874,783,162,057,250,633,818,649,124,961,
619,848,144,251,566,432,513,162,085,126,937,664,266,500,373,428,217,020,331,
668,574,304,325,428,302,122,031,307,407,335,201,403,711,595,467,646,626,157,
133,079,673,476,365,997,005,758,942,299,573,896,463,478,703,990,425,245,155,
176,533,174,785,072,791,573,685,329,182,846,103,917,644,451,412,275,385,202,
210,276,494,729,136,522,797,162,904,944,496,166,605,544,543,937,538,897,866,
066,798,468,631,575,337,694,599,719,931,155,804,782,057,657,210,999,715,799,
029,630,853,820,388,620,192,822,516,392,755,038,579,385,224,328,641,502,723,
248,785,614,271,703,765,264,520,684,462,480,484,654,480,258,134,328,068,280,
378,115,698,469,440,770,719,218,849,527,006,270,734,437,292,707,354,127,931,
035,985,062,669,709,981,616,627,938,711,363,286,924,315,510,626,591,776,630,
507,089,163,293,592,922,102,140,037,087,558,365,240,202,099,185,929,094,907,
935,069,744,431,962,458,536,093,912,363,248,543,040,766,091,656,798,466,056,
850,980,232,070,379,297,603,728,564,537,823,629,083,242,401,926,632,435,928,
500,900,382,436,033,296,563,545,659,584,119,911,391,641,309,198,891,738,965,
034,141,139,257,541,889,686,015,759,449,536,303,146,293,488,831,801,956,249,
130,503,257,437,488,344,057,890,572,339,355,402,851,100,777,904,250,147,738,
336,271,251,302,677,238,527,842,761,774,020,212,152,187,321,034,010,431,439,
250,481,246,772,711,467,340,519,231,848,238,166,342,835,833,113,322,608,503,
168,961,650,905,758,958,357,278,700,928,390,900,448,635,111,497,874,009,480,
592,128,743,947,563,920,121,867,856,292,127,607,924,587,999,948,397,061,461,
305,946,861,405,610,911,896,768,166,347,740,162,707,219,033,911,498,346,507,
032,559,837,737,659,838,605,398,918,122,368,761,126,717,868,615,172,784,552,
595,960,730,190,084,920,245,192,898,786,830,655,252,343,564,840,482,736,770,
963,208,095,701,076,483,540,336,049,021,532,070,174,232,590,875,475,262,566,
327,018,600,574,923,343,168,033,327,896,531,354,010,676,739,985,487,809,382,
184,140,681,088,253,190,306,177,687,842,281,764,589,786,976,023,535,371,528,
624,095,658,412,599,212,624,032,863,273,444,405,816,582,052,296,063,201,144,
194,161,924,701,052,482,791,447,865,624,986,399,970,422,097,936,070,378,929,
613,169,177,573,792,377,283,008,110,135,005,154,533,367,688,845,089,231,683,
906,661,740,030,636,907,945,124,853,102,784,339,331,271,652,806,687,942,631,
221,978,054,335,335,976,591,043,591,047,995,444,738,442,678,778,585,176,536,
199,065,134,808,136,163,355,498,182,318,684,679,814,601,978,050,564,164,825,
121,160,771,461,846,649,668,507,721,724,171,407,499,933,663,104,139,378,834,
998,685,825,317,732,412,097,747,255,375,863,910,431,679,201,143,696,685,281,
761,677,297,975,160,182,670,712,737,602,148,244,954,226,690,024,159,744,373,
738,817,575,168,034,427,600,802,474,636,198,410,563,701,312,566,981,344,789,
148,566,856,220,170,906,793,477,890,056,900,422,912,295,522,051,083,200,678,
028,044,257,594,556,288,606,436,062,475,146,878,435,734,282,481,590,980,222,
508,254,110,426,908,604,778,254,399,080,866,142,312,565,373,458,994,153,780,
339,428,360,437,714,446,260,587,773,846,826,032,527,719,402,878,386,981,317,
568,622,506,416,058,038,308,652,538,205,692,289,166,776,139,641,701,529,512,
629,893,869,399,794,298,635,111,796,482,792,394,780,882,099,192,357,053,413,
943,878,353,099,196,241,380,337,042,151,184,492,167,497,287,720,540,823,159,
360,415,846,054,714,845,135,309,879,179,940,966,421,304,283,720,262,175,907,
338,806,731,822,071,284,511,782,323,969,106,758,399,763,302,568,724,749,165,
822,463,032,138,695,353,300,149,637,646,872,359,704,074,412,197,960,132,913,
998,310,121,138,131,957,089,470,240,127,562,587,831,426,530,401,119,611,807,
515,761,972,761,390,490,580,437,488,205,835,518,064,940,985,831,297,811,326,
748,603,423,262,730,236,068,213,148,867,443,407,221,593,974,038,306,070,063,
272,625,677,535,477,468,648,740,517,722,748,823,341,175,921,273,816,891,328,
432,393,375,552,966,859,417,934,670,867,529,401,297,075,852,345,259,687,206,
999,512,020,247,678,033,447,698,106,628,317,152,543,437,826,816,346,634,200,
265,314,340,240,597,938,818,823,258,723,399,832,879,701,307,992,221,034,563,
241,284,841,236,530,207,374,799,103,688,275,699,044,225,924,832,018,861,403,
300,333,631,112,215,938,536,264,217,253,041,687,176,634,508,328,748,560,241,
289,474,690,951,765,666,148,664,688,571,970,936,432,081,807,781,889,518,011,
977,997,868,834,733,476,604,842,866,135,848,905,120,591,304,705,285,984,572,
683,978,296,273,614,782,902,055,445,295,900,976,210,529,416,139,882,319,781,
440,899,664,186,752,548,673,324,258,935,153,210,095,725,293,971,492,697,546,
411,672,275,755,298,259,920,389,230,058,789,129,124,674,562,030,126,651,870,
671,308,917,753,480,074,878,869,887,589,957,535,613,530,867,612,002,596,685,
823,681,158,198,345,707,957,716,157,830,920,275,124,878,606,830,185,788,320,
424,949,761,798,607,797,528,002,754,379,860,034,840,298,183,274,431,167,120,
168,144,100,345,452,036,994,194,198,590,175,542,730,831,626,141,595,536,839,
436,608,495,952,072,478,779,105,323,686,176,257,999,870,270,171,376,512,401,
562,100,280,669,653,029,176,551,155,365,930,413,398,355,120,528,882,233,483,
447,715,940,689,876,146,943,635,280,933,492,199,940,666,026,583,995,162,990,
679,137,471,074,253,410,402,532,755,852,349,137,039,365,268,101,369,965,098,
939,650,085,893,451,352,174,533,176,564,110,332,814,705,395,071,402,297,070,
138,667,932,065,629,736,168,612,497,875,873,125,715,916,273,632,812,193,703,
348,914,883,728,061,092,956,820,306,586,087,188,220,557,064,817,028,767,760,
325,622,034,225,405,949,678,744,805,571,876,142,780,983,266,972,044,479,046,
574,457,816,601,079,847,519,413,868,041,437,132,757,579,009,151,285,928,951,
013,068,875,581,371,075,666,739,790,777,866,516,627,749,114,450,170,588,932,
954,077,109,628,743,417,791,520,161,436,686,453,064,977,503,174,518,852,275,
247,167,439,738,392,829,795,579,570,075,620,526,893,098,989,952,574,600,907,
745,253,322,539,741,129,832,914,992,543,875,613,522,509,551,916,904,030,917,
130,508,989,242,047,384,269,306,392,136,336,451,422,108,112,662,861,343,251,
537,475,840,142,872,854,722,175,961,510,940,166,310,058,961,957,630,312,587,
629,492,861,904,606,966,326,510,945,383,682,263,151,933,134,597,159,580,233,
270,646,081,155,777,269,819,981,363,492,337,870,309,988,366,842,000,940,513,
537,456,145,417,541,120,498,160,182,485,323,028,578,920,046,057,207,109,040,
870,630,498,963,685,495,559,678,463,588,912,339,106,012,061,077,743,087,539,
813,584,622,433,534,483,390,106,893,574,399,893,304,199,952,254,890,046,897,
600,036,084,941,546,873,999,001,823,643,292,465,735,139,853,711,488,725,515,
558,907,874,036,221,996,372,093,244,138,674,679,784,119,683,077,453,917,973,
803,161,551,105,454,554,145,404,851,750,387,452,860,195,820,679,467,240,991,
118,473,498,805,374,926,955,457,362,760,849,554,726,131,822,822,002,256,583,
626,958,172,816,680,315,352,140,878,588,855,973,525,163,412,814,917,979,959,
351,964,353,371,207,245,801,442,046,912,833,865,095,832,602,465,656,948,646,
370,067,517,950,275,529,099,795,496,135,784,323,225,261,119,895,542,970,574,
074,554,291,556,906,734,421,824,806,550,295,920,748,200,468,358,060,550,192,
063,576,201,819,256,070,724,365,552,093,063,180,328,810,565,841,447,650,685,
959,783,987,758,874,711,225,170,095,166,014,147,763,433,638,103,198,907,799,
361,369,118,553,263,584,740,366,811,763,105,321,200,411,424,402,108,046,021,
997,114,571,070,205,585,772,049,739,631,673,602,088,132,532,439,405,860,122,
941,283,822,466,524,762,667,965,279,367,882,483,943,713,698,517,551,885,067,
005,206,563,102,013,590,595,675,546,807,569,399,087,752,864,109,196,184,023,
023,491,165,621,370,128,421,071,467,121,063,990,891,010,041,774,127,764,344,
513,983,280,302,315,983,715,141,461,418,421,385,168,512,906,307,157,944,474,
443,647,781,621,836,188,761,648,441,832,290,984,215,231,263,602,101,756,949,
357,119,163,368,723,084,910,229,013,644,313,540,530,338,403,143,090,481,816,
663,593,288,875,502,661,682,356,725,357,571,637,948,110,829,932,930,307,315,
806,082,246,438,835,809,573,088,081,792,552,872,426,338,046,470,822,483,850,
141,375,131,183,130,319,286,867,280,824,151,685,126,935,305,482,677,099,079,
131,288,526,508,367,258,023,536,987,554,598,816,734,263,787,685,510,126,858,
455,868,378,833,825,054,149,817,432,303,448,642,197,298,098,852,689,272,152,
779,154,722,751,447,162,514,242,943,340,236,502,826,209,226,929,923,848,234,
184,000,122,609,041,751,770,299,640,383,212,516,250,382,192,074,479,901,682,
079,643,996,718,370,684,092,633,554,820,267,463,954,917,397,586,041,994,208,
089,907,722,348,952,115,834,277,591,545,706,669,770,855,349,086,929,501,239,
001,866,863,198,118,088,780,685,996,690,769,660,980,094,958,657,761,595,142,
690,328,025,000,393,316,829,784,419,777,215,339,123,650,686,658,564,339,710,
619,838,503,005,194,619,892,473,815,359,515,943,185,224,298,451,405,088,934,
374,910,825,848,554,091,557,544,401,605,362,305,070,593,122,997,140,129,009,
124,875,994,370,257,780,065,506,707,290,595,604,752,287,279,661,424,325,435,
760,164,354,853,344,521,231,334,838,229,468,310,624,271,655,748,898,082,081,
824,155,525,701,099,963,893,260,635,096,091,319,436,899,562,896,756,688,037,
942,403,958,848,560,237,133,716,740,005,168,340,893,533,031,042,476,963,610,
991,286,764,088,542,401,843,648,510,364,043,904,042,047,727,329,352,996,070,
527,310,145,417,197,088,232,271,170,794,706,457,916,586,687,713,543,037,374,
985,466,936,758,683,539,174,014,191,661,332,914,022,656,969,626,268,955,366,
869,513,905,311,088,659,089,792,505,863,073,531,333,874,171,868,337,113,286,
118,313,190,657,421,767,220,449,656,642,262,853,032,671,438,398,783,525,168,
384,784,960,880,111,560,762,416,612,101,387,021,757,908,329,532,197,148,350,
388,849,005,928,909,302,981,322,292,065,526,738,977,525,037,196,945,226,182,
564,658,907,139,029,258,724,187,387,437,915,381,411,375,937,688,715,233,016,
549,282,309,480,804,436,476,762,354,066,815,927,453,481,212,558,468,875,965,
960,451,497,603,227,411,052,344,009,323,010,457,623,636,229,386,161,555,896,
928,672,952,096,738,751,111,859,617,375,355,290,256,081,158,431,203,337,209,
245,899,466,756,734,431,348,902,880,601,200,841,224,162,909,253,215,305,176,
873,581,538,887,645,645,262,154,457,627,942,038,810,252,253,885,346,720,330,
480,188,833,889,506,298,357,832,079,054,829,669,942,031,856,685,916,442,761,
001,314,595,234,494,029,547,460,386,755,137,640,376,593,771,231,639,131,256,
965,009,907,302,853,537,881,929,076,208,043,066,958,303,863,751,180,273,092,
053,187,598,651,515,512,023,433,351,994,404,087,113,817,094,386,917,068,114,
991,952,856,107,539,696,762,379,314,872,538,478,422,606,690,936,723,581,506,
324,173,841,995,913,107,534,979,065,846,982,600,198,033,747,344,314,109,827,
508,387,286,153,846,663,238,180,462,651,826,201,407,359,055,694,516,278,917,
949,832,749,491,590,228,845,646,770,678,784,392,970,355,560,174,003,661,911,
430,525,871,916,321,256,729,530,578,289,460,693,268,035,500,735,385,823,796,
850,003,725,576,409,409,020,259,830,391,292,304,822,584,237,146,988,299,896,
902,274,958,838,503,552,230,333,757,115,356,682,116,400,464,801,125,651,943,
541,576,462,669,502,133,151,563,943,779,105,880,588,106,887,941,332,462,295,
016,527,348,400,601,007,730,788,140,791,243,732,953,365,506,788,898,394,924,
605,107,651,462,713,539,916,020,732,112,612,876,746,922,930,442,980,369,630,
324,920,328,776,057,432,922,354,469,738,236,822,736,955,572,498,537,295,271,
037,657,601,516,103,310,277,538,903,375,017,968,313,398,482,950,605,282,002,
057,858,253,081,430,043,843,439,058,047,112,711,253,127,251,977,752,916,117,
988,015,844,327,869,628,553,636,526,809,780,399,537,046,768,639,059,343,831,
227,034,217,081,447,933,336,765,202,682,825,222,725,414,546,294,312,237,419,
600,740,265,187,996,545,130,768,905,700,701,461,631,387,973,431,066,609,685,
529,198,365,112,881,436,807,768,726,553,938,390,388,956,320,203,943,900,669,
256,914,880,440,562,663,941,312,393,358,001,544,528,802,331,498,884,196,233,
072,096,857,350,771,187,800,755,512,327,129,834,523,809,386,567,702,783,093,
047,485,636,845,463,511,761,050,799,590,125,454,508,159,762,631,299,017,468,
225,096,737,619,946,794,923,409,259,451,115,170,686,154,656,569,863,871,237,
153,178,551,370,892,788,567,321,207,000,047,762,975,655,351,841,906,821,973,
812,674,484,745,168,794,937,587,548,185,230,289,384,316,186,316,199,919,866,
771,520,330,898,242,398,915,199,773,971,471,775,158,672,528,119,939,573,757,
608,985,595,778,837,173,154,624,663,501,379,447,828,110,408,757,905,679,780,
601,464,156,054,169,446,737,362,925,341,141,057,311,314,069,285,585,233,324,
781,607,569,768,532,971,367,944,018,587,930,282,058,559,959,765,351,593,305,
612,579,660,441,888,102,687,363,476,689,501,732,576,283,096,756,020,271,538,
797,991,850,717,159,977,027,233,459,218,893,883,013,989,408,249,326,169,944,
611,287,871,795,468,198,467,368,406,057,641,814,967,663,061,468,175,716,011,
660,633,750,763,288,909,545,998,146,763,585,032,989,001,136,118,682,581,129,
612,363,534,717,963,052,187,466,192,084,843,954,373,506,544,391,876,077,376,
084,332,975,161,818,053,431,760,577,730,707,351,368,349,870,997,641,567,328,
059,447,538,782,147,989,386,965,989,323,671,056,760,230,369,067,364,960,769,
909,899,110,304,480,942,570,704,046,725,933,725,110,319,643,677,238,017,402,
619,918,828,401,210,462,095,644,390,276,696,466,325,563,757,247,320,428,014,
388,164,955,007,380,919,037,618,372,070,261,286,824,985,448,503,150,981,776,
292,979,337,225,529,042,495,653,660,603,738,016,229,080,918,543,400,630,995,
975,038,748,829,701,973,219,338,195,975,423,465,227,253,284,815,886,595,438,
048,894,630,791,890,933,848,411,234,825,378,973,905,022,300,512,773,949,618,
521,800,008,821,888,396,777,346,876,471,410,280,722,357,244,545,009,120,853,
679,932,131,913,853,358,975,125,902,878,144,880,515,558,111,254,947,225,753,
262,505,095,374,585,309,227,145,690,494,944,563,507,784,999,430,482,964,790,
707,686,238,531,685,675,308,694,122,662,881,491,900,661,436,207,512,031,210,
872,435,056,292,535,480,057,640,404,926,332,924,509,899,872,675,241,339,103,
827,889,626,156,392,720,994,112,200,325,506,293,537,021,204,756,078,565,403,
974,262,435,291,929,471,377,863,797,015,012,957,259,696,395,151,339,247,273,
086,232,952,809,183,856,521,210,529,837,986,750,243,629,944,147,166,448,964,
527,573,503,415,551,306,818,893,483,470,690,280,563,541,451,349,541,479,706,
531,099,734,728,038,638,703,465,297,356,044,260,707,226,349,942,531,743,522,
724,126,389,361,980,954,703,857,940,349,378,767,775,566,109,460,280,906,100,
449,573,212,194,203,585,530,469,479,470,099,991,890,869,997,908,333,438,821,
313,103,961,066,544,147,512,360,214,873,418,726,909,228,126,520,883,987,714,
685,636,496,237,788,417,929,445,383,226,278,827,360,878,391,424,565,129,605,
341,952,743,318,928,715,469,288,627,083,665,379,566,016,523,933,589,175,886,
644,981,896,964,749,555,970,105,435,508,514,141,139,156,686,828,523,143,819,
864,243,695,508,982,156,169,066,483,294,936,979,110,956,950,348,368,344,732,
326,012,932,414,031,877,391,830,155,448,250,783,200,678,130,947,824,099,900,
069,385,014,557,277,598,582,339,091,326,692,902,126,542,265,362,053,362,701,
638,404,646,622,185,216,315,826,563,885,905,058,599,468,668,770,302,697,761,
799,192,606,490,195,426,549,819,031,867,118,201,314,052,975,709,873,411,820,
043,675,178,342,608,607,815,265,659,370,489,432,203,054,398,494,741,543,280,
826,318,444,368,888,632,662,410,202,190,814,871,912,694,836,201,894,905,887,
347,079,622,613,221,879,561,653,097,105,536,686,749,380,061,708,075,968,416,
947,518,777,645,990,061,402,415,678,186,379,159,787,290,155,739,254,674,465,
106,809,105,863,752,492,090,458,858,241,907,247,880,640,957,321,516,628,186,
188,082,060,117,086,367,526,121,438,612,257,338,374,438,959,555,700,563,780,
575,925,706,588,172,855,957,522,432,746,911,490,771,244,585,352,610,020,511,
125,909,351,737,484,539,579,481,098,303,838,059,637,368,466,390,549,046,401,
220,475,099,524,635,044,564,480,152,758,555,717,622,354,454,108,759,042,461,
195,633,685,243,589,203,125,702,942,383,577,604,389,302,007,107,214,295,268,
859,597,160,564,061,734,935,793,252,935,340,858,443,046,418,783,610,124,207,
598,298,542,853,247,352,511,328,489,245,363,644,830,293,618,384,936,849,421,
532,630,498,483,619,775,201,438,645,121,989,957,579,377,877,922,036,705,358,
017,353,305,191,117,826,954,346,787,543,857,346,964,655,795,256,325,494,414,
060,499,232,525,178,182,072,836,079,383,948,192,172,399,321,163,673,151,226,
815,591,699,333,393,386,367,570,797,717,048,166,364,473,237,288,514,731,637,
728,304,871,889,904,804,970,007,899,006,994,281,319,718,509,657,072,819,089,
953,976,666,763,345,267,533,430,428,441,477,705,246,972,634,764,708,528,110,
330,595,750,252,222,597,569,886,640,758,801,709,024,622,669,082,891,185,438,
365,626,279,508,395,615,902,084,577,627,450,266,301,354,679,915,735,869,010,
096,005,550,996,759,598,956,117,158,520,769,791,775,692,165,166,123,599,458,
249,033,000,857,234,409,593,591,320,120,855,577,875,902,858,178,675,494,328,
792,450,513,536,712,929,683,936,728,689,528,363,247,714,683,399,261,335,268,
167,887,731,323,146,099,713,372,241,133,244,286,131,270,226,099,801,875,193,
526,591,691,679,939,071,967,717,177,117,873,557,452,341,591,091,884,205,009,
076,039,642,561,450,179,864,537,948,676,671,144,158,468,570,037,272,621,441,
949,117,921,468,198,210,470,170,944,840,223,624,681,553,575,136,673,701,073,
212,519,012,448,249,419,304,913,544,247,719,963,457,132,852,637,477,839,264,
937,980,076,079,014,725,258,667,251,204,192,284,018,538,078,218,950,994,350,
314,229,950,093,790,672,076,826,727,747,569,969,026,814,623,297,640,990,674,
338,368,539,252,928,068,499,965,562,655,192,502,643,976,694,501,917,016,417,
269,884,628,426,227,983,707,930,184,079,157,279,124,812,371,143,801,686,873,
548,278,785,115,077,838,385,142,253,160,157,644,727,275,023,258,634,671,221,
638,699,437,602,696,747,474,017,914,742,079,533,789,594,802,418,900,699,450,
230,566,164,634,507,764,745,911,737,962,619,808,761,649,999,645,144,894,709,
797,049,246,507,887,313,873,954,893,069,455,604,381,647,258,493,607,723,431,
667,804,175,165,468,581,043,752,285,364,309,842,776,298,440,647,079,399,498,
315,735,184,028,761,401,983,926,636,630,086,220,198,787,804,243,653,657,037,
036,284,387,034,436,439,092,213,719,074,635,027,158,000,597,531,495,566,050,
113,322,396,931,384,236,879,467,954,961,748,247,113,261,918,608,730,857,391,
154,077,102,305,977,840,837,995,650,163,658,163,912,924,471,972,471,944,422,
170,332,202,934,288,077,795,020,705,338,770,673,353,806,809,879,596,248,194,
411,437,253,305,114,982,264,332,943,382,133,003,866,789,084,901,333,520,005,
470,166,850,783,135,211,067,350,710,939,561,704,563,474,587,168,595,773,097,
350,400,311,744,474,460,735,845,895,838,752,946,498,622,552,270,593,343,144,
515,176,948,886,008,661,186,837,786,642,567,862,562,724,878,707,686,178,447,
265,772,671,652,682,976,723,463,860,100,583,311,921,372,401,666,916,631,657,
244,819,201,071,151,804,005,816,464,081,358,083,601,239,624,650,423,605,904,
045,408,083,363,109,900,751,571,399,229,870,788,999,733,008,762,222,690,580,
729,640,460,986,959,938,507,444,409,895,504,413,350,145,325,284,884,792,374,
849,355,034,919,029,482,544,280,249,307,274,009,576,499,281,202,633,176,343,
182,178,509,115,147,633,191,386,769,782,563,081,265,223,600,696,569,343,770,
308,747,363,000,247,771,203,374,269,150,222,226,148,203,276,407,300,882,553,
143,064,278,198,518,346,966,008,029,858,467,073,000,514,175,224,073,745,634,
380,360,211,145,541,375,466,076,336,500,475,240,374,415,873,362,926,909,430,
241,224,781,280,493,312,671,661,841,828,026,248,599,422,543,888,535,279,406,
383,826,244,365,684,856,743,880,645,351,814,259,635,982,111,100,203,599,396,
679,852,501,297,723,620,526,143,669,019,161,740,955,372,854,294,734,791,485,
940,366,760,672,815,604,120,058,011,180,479,840,823,569,525,773,415,701,000,
155,738,028,776,131,947,127,637,699,595,568,235,820,668,521,254,104,122,812,
436,396,925,271,862,014,551,669,669,535,979,004,663,308,657,480,776,158,822,
150,359,643,143,513,052,780,240,311,755,935,512,633,891,799,628,854,652,231,
696,306,288,707,449,232,393,834,498,602,543,559,833,515,943,698,358,341,315,
259,831,168,683,619,414,940,376,622,088,695,329,587,962,210,342,998,667,486,
205,498,254,466,545,101,346,788,547,316,950,117,186,234,507,972,747,724,640,
370,803,570,005,061,584,719,577,984,739,323,989,422,923,302,249,203,396,800,
070,399,429,968,145,317,475,564,174,985,898,167,317,033,775,361,266,572,322,
872,403,220,599,239,462,597,025,030,989,286,508,424,609,428,832,921,407,235,
173,013,714,054,314,650,824,564,833,423,459,475,978,333,715,795,531,700,405,
120,994,090,297,782,505,272,441,036,180,876,738,392,646,935,012,928,252,063,
522,207,516,627,900,063,949,694,047,233,774,324,188,170,092,205,757,156,338,
064,972,201,833,517,005,499,325,578,882,192,813,335,856,034,436,465,924,318,
069,631,865,796,693,018,031,280,287,932,109,282,179,003,026,362,442,320,935,
350,024,042,047,548,083,307,618,611,455,183,956,879,239,067,610,163,208,462,
637,719,456,040,650,023,780,449,400,457,970,359,069,893,678,167,535,719,160,
491,220,422,173,022,398,271,443,022,167,434,605,492,419,084,798,063,213,908,
541,357,133,695,323,283,729,364,260,562,601,391,933,234,840,631,145,079,062,
408,596,081,080,832,949,808,343,724,312,922,570,190,144,391,939,628,420,601,
089,067,655,355,871,682,423,951,735,890,246,243,761,343,701,366,822,191,837,
598,537,288,381,573,590,225,879,431,868,489,569,408,726,185,998,715,496,020,
360,887,752,694,360,759,882,175,854,034,654,137,275,626,328,064,429,201,977,
504,843,564,584,061,201,827,088,943,009,108,009,835,599,428,749,830,219,768,
029,899,059,536,502,038,537,999,693,952,836,674,494,350,154,981,321,281,893,
834,803,749,120,000,105,603,589,220,908,330,684,346,731,181,800,071,479,297,
056,918,171,983,974,197,809,661,399,280,520,890,479,182,669,459,620,491,748,
412,106,952,929,206,417,685,773,794,654,748,712,009,693,480,184,780,782,393,
260,446,700,956,566,532,758,457,491,371,469,197,559,383,034,438,251,759,593,
703,520,068,123,235,364,098,121,405,554,937,420,407,744,428,331,899,244,518,
214,957,359,029,357,166,400,836,577,903,619,131,311,999,636,015,903,558,337,
605,597,290,779,444,771,974,906,078,917,551,231,467,438,078,144,583,936,070,
643,493,449,105,426,988,696,074,901,979,831,707,011,644,918,413,322,048,450,
434,590,372,316,438,562,715,581,594,162,771,052,773,779,729,120,755,363,448,
020,265,012,366,011,271,870,353,899,392,068,237,246,681,671,162,083,235,284,
553,762,132,169,212,365,490,872,815,896,867,900,795,626,624,513,482,306,200,
870,198,738,495,150,681,424,951,138,152,668,319,129,204,696,031,882,993,742,
256,921,756,591,034,510,697,670,100,560,435,746,386,862,567,896,304,461,515,
107,213,422,053,579,564,252,496,017,545,546,726,459,016,632,904,788,180,544,
031,139,818,320,489,185,034,232,947,225,823,949,497,998,275,236,301,415,128,
606,029,281,242,079,188,923,945,841,782,723,669,160,042,495,355,917,117,315,
667,100,635,765,378,419,680,717,045,040,952,509,369,866,086,231,346,399,720,
324,966,101,569,603,956,283,443,859,574,722,456,029,515,411,693,104,613,599,
143,505,975,924,929,015,799,699,089,670,772,008,055,926,669,392,053,043,526,
941,950,642,593,571,881,040,909,009,791,193,467,367,150,970,556,215,803,175,
925,598,742,209,817,479,665,427,252,037,421,296,807,973,787,576,216,202,941,
636,567,308,064,778,557,470,886,302,523,789,090,760,332,718,700,229,213,937,
127,935,124,701,277,848,986,397,601,212,226,479,169,625,434,636,488,972,356,
229,473,043,049,736,707,910,701,342,284,469,916,557,555,151,734,695,843,270,
301,834,321,162,393,007,444,394,922,221,040,229,538,921,344,601,243,256,110,
344,774,557,648,729,339,634,341,246,619,508,264,667,720,657,182,803,002,612,
859,972,523,323,544,601,102,609,038,706,064,414,538,438,637,975,531,100,918,
086,028,726,677,998,186,580,656,223,196,738,838,376,044,389,840,593,454,047,
585,627,201,204,074,704,953,198,056,863,505,984,021,805,586,794,015,947,220,
911,848,458,086,234,733,177,016,542,528,450,749,405,440,720,700,174,913,497,
910,765,172,865,089,499,322,269,984,886,612,976,256,506,329,637,864,707,863,
670,929,530,828,659,385,929,171,059,219,177,900,524,308,370,003,878,127,989,
126,035,548,992,195,219,665,319,319,632,582,891,941,677,217,052,074,415,163,
432,546,794,682,267,266,300,597,063,081,185,145,096,230,176,067,068,228,012,
381,288,739,528,471,649,161,433,326,113,640,469,767,386,649,409,364,863,373,
013,522,176,470,186,628,633,132,087,025,245,238,623,235,973,607,046,142,527,
370,188,385,955,903,121,427,424,523,901,452,774,826,202,682,119,475,060,974,
122,324,003,167,630,947,216,727,631,966,979,914,401,002,024,552,213,125,819,
740,826,034,651,192,638,625,018,685,275,120,390,526,582,644,813,780,193,477,
727,020,219,250,459,055,411,370,287,304,341,869,615,814,414,609,065,523,327,
632,994,231,434,125,914,761,317,127,523,369,017,544,369,268,076,868,624,253,
103,661,271,227,007,238,341,614,925,831,989,914,183,435,743,985,695,689,476,
966,220,024,753,740,507,941,293,924,503,412,527,233,502,844,393,770,630,054,
870,877,279,118,130,396,292,766,669,619,562,563,514,077,396,770,586,981,272,
271,094,465,227,232,144,994,794,585,966,108,800,684,189,151,361,156,960,754,
955,374,070,076,196,168,423,255,539,918,603,533,476,891,743,670,890,675,436,
542,041,263,153,725,179,178,344,760,442,382,112,647,498,696,476,123,704,964,
684,268,214,140,798,804,443,297,818,672,453,409,554,666,069,338,812,284,367,
826,731,469,309,211,507,451,767,121,269,833,561,320,934,954,024,940,097,193,
661,998,153,099,108,704,469,859,802,876,915,241,924,226,388,542,046,549,198,
433,781,701,931,549,959,785,355,599,182,612,978,968,360,102,464,724,309,914,
244,495,337,003,505,129,361,937,212,664,180,400,042,176,786,743,361,679,037,
756,939,859,053,876,721,622,811,547,377,146,946,735,661,467,809,048,896,928,
394,504,475,281,740,679,823,397,560,606,402,222,003,085,717,047,066,782,628,
944,538,361,604,930,946,112,841,212,944,378,967,714,937,425,815,870,321,079,
327,399,547,528,007,049,388,901,010,392,253,815,325,653,749,979,247,986,710,
666,129,378,053,208,210,755,653,594,805,611,294,269,193,564,514,677,712,969,
967,498,496,706,767,818,160,825,277,164,411,627,554,734,151,312,163,317,117,
342,257,233,887,292,564,378,911,614,544,026,224,024,933,656,588,043,212,976,
538,089,395,910,228,122,640,758,265,031,957,632,403,952,943,724,254,054,238,
562,086,192,003,596,063,396,097,095,951,236,822,221,015,536,607,889,444,903,
809,218,970,935,677,579,804,039,672,537,535,563,795,360,439,677,760,389,335,
953,530,823,428,785,366,389,042,587,595,183,086,695,848,061,441,684,876,478,
325,498,022,099,741,825,678,991,249,261,488,931,069,738,928,408,241,038,091,
810,565,986,428,621,222,735,087,868,309,417,241,386,954,898,843,062,575,869,
073,728,165,410,320,667,358,133,131,410,431,977,324,366,249,614,931,822,646,
131,314,338,301,313,148,149,443,923,156,969,340,830,633,660,238,516,055,766,
625,480,756,531,788,148,295,266,161,006,819,967,963,620,317,565,109,332,027,
730,989,163,148,790,566,657,600,398,398,708,882,591,875,495,996,425,733,942,
601,219,367,741,363,246,021,177,805,780,387,454,063,541,182,528,817,817,603,
827,806,778,588,974,875,467,990,550,897,150,734,317,443,259,785,057,082,160,
947,337,491,365,873,555,119,078,409,182,318,649,583,082,384,431,074,416,884,
546,761,662,839,083,048,757,879,222,265,003,695,723,859,852,613,068,514,302,
807,421,389,598,073,448,156,798,040,709,649,556,701,397,389,046,727,644,760,
453,158,397,292,264,389,649,231,099,543,025,643,710,610,063,179,444,603,641,
934,893,628,688,880,691,206,310,026,122,453,832,491,579,203,933,242,541,663,
868,510,142,139,522,317,044,161,165,654,802,901,338,997,838,170,406,562,160,
522,584,878,260,124,690,548,188,023,988,239,199,402,533,517,182,338,668,101,
087,647,774,348,488,404,088,190,372,485,044,822,615,267,050,746,402,509,425,
336,977,642,112,713,618,308,923,873,663,674,021,457,005,569,447,545,846,579,
529,699,301,257,401,954,625,770,553,976,723,112,720,269,794,793,337,242,322,
288,356,328,297,370,229,862,774,292,124,355,269,319,745,033,602,223,808,205,
444,319,275,969,829,867,652,492,162,827,346,539,442,943,023,836,334,091,790,
195,027,412,669,220,203,069,978,881,042,793,494,531,089,360,489,044,831,527,
388,379,918,761,101,856,695,235,905,566,562,091,969,490,331,660,852,964,402,
487,051,369,549,144,707,458,180,650,021,228,183,423,891,874,388,569,606,969,
753,129,110,013,161,865,525,048,870,231,195,425,884,324,661,311,011,312,645,
301,900,995,887,825,546,190,937,410,236,500,967,585,837,709,585,104,220,027,
871,141,571,324,148,369,016,458,359,463,484,382,474,207,029,341,502,571,856,
664,783,542,380,133,656,715,591,268,991,376,828,401,339,656,761,468,115,888,
942,584,294,177,540,721,947,252,126,019,648,588,637,794,535,497,636,179,396,
317,008,854,555,841,199,895,320,937,103,154,037,068,924,022,722,662,816,904,
896,542,114,908,258,374,485,764,815,148,819,132,713,682,522,479,852,779,068,
540,255,351,522,692,772,477,880,271,861,450,706,945,622,978,178,381,567,689,
144,576,801,654,153,315,815,961,247,261,516,486,783,953,429,421,397,617,727,
865,504,195,854,979,235,852,701,456,241,665,617,122,366,552,763,288,277,033,
904,769,222,853,770,521,282,612,756,632,391,509,471,353,646,225,622,889,769,
392,109,603,508,228,749,806,173,178,645,591,094,959,738,698,664,757,388,305,
357,573,732,486,623,622,493,791,568,174,048,921,811,854,794,681,650,733,406,
700,321,153,666,296,884,331,467,811,349,013,094,049,225,499,145,819,823,327,
167,426,182,057,560,190,044,861,769,495,509,251,744,762,235,972,964,827,208,
699,249,054,070,320,292,733,562,176,361,647,627,375,152,706,688,349,126,455,
437,833,809,035,817,143,156,480,816,832,982,061,639,605,087,151,498,405,733,
470,385,718,780,752,345,908,815,848,495,942,417,291,450,083,100,600,700,305,
508,744,015,795,318,242,792,430,665,987,484,508,502,126,754,171,084,456,548,
881,692,511,691,725,125,630,208,482,814,174,947,822,750,152,880,031,167,612,
210,487,895,155,900,047,022,149,437,689,212,557,531,989,469,312,258,361,562,
873,410,425,623,862,569,672,004,656,682,863,071,845,629,903,770,869,283,593,
044,450,675,570,156,337,864,391,001,580,948,408,775,446,847,569,504,464,029,
065,455,297,618,835,635,475,036,202,351,193,860,103,376,910,283,189,557,894,
570,195,963,295,918,629,648,873,992,746,273,377,781,824,964,680,779,042,712,
147,067,997,598,801,087,840,798,139,430,055,180,194,377,283,575,908,704,991,
595,627,819,633,974,229,730,003,283,594,280,988,546,068,925,963,559,594,742,
814,049,008,863,229,998,765,989,784,277,455,649,375,496,446,265,178,659,057,
111,018,682,034,564,545,177,426,550,680,872,946,252,108,912,295,048,215,034,
919,733,773,189,920,038,718,143,062,010,777,733,384,565,776,643,483,130,753,
341,681,892,073,066,056,151,014,547,019,240,313,315,293,322,923,899,223,682,
539,713,951,450,135,965,071,832,331,956,330,070,631,962,808,123,560,243,291,
778,804,216,044,197,015,918,802,555,652,052,950,585,391,357,154,988,257,374,
883,674,593,470,882,943,526,763,757,213,211,557,563,655,060,279,659,125,913,
492,867,056,248,172,503,651,699,677,825,951,135,681,601,879,321,287,390,867,
047,396,179,566,619,799,526,887,212,859,906,045,566,012,206,103,532,484,853,
330,315,544,048,694,721,923,417,469,544,226,817,456,469,246,734,161,571,250,
402,184,411,494,678,510,095,545,756,726,609,327,387,059,939,278,513,410,228,
397,225,188,405,631,386,915,022,145,356,588,360,888,170,068,223,866,519,990,
503,941,386,889,921,836,283,536,519,430,043,114,996,908,361,457,333,260,817,
778,971,294,580,518,765,100,618,392,990,394,994,750,938,913,919,114,243,466,
660,566,515,864,258,917,806,633,563,688,056,204,583,300,468,267,868,593,646,
655,125,472,839,338,501,528,932,370,872,264,308,937,145,231,903,698,905,719,
490,237,466,829,772,329,090,285,741,251,987,987,501,277,992,866,061,408,798,
337,159,637,826,821,199,121,013,725,397,525,797,555,639,757,021,076,152,212,
528,566,728,036,554,451,409,135,177,484,807,263,415,464,077,737,954,584,717,
558,449,050,908,136,232,668,990,638,466,132,487,068,436,505,794,496,599,669,
413,948,976,592,793,611,295,022,406,744,169,712,497,921,074,254,899,113,983,
898,721,465,374,683,052,751,953,857,383,688,709,383,814,762,880,960,171,712,
230,465,407,596,195,271,968,609,836,490,052,618,872,873,333,717,625,443,860,
400,971,334,629,277,847,758,755,547,872,646,531,583,018,812,683,334,704,953,
561,170,623,944,253,140,478,591,159,500,042,158,152,681,158,583,985,505,968,
573,598,197,856,348,780,129,458,199,784,134,981,747,807,949,017,212,737,561,
848,071,744,467,723,054,946,048,589,179,887,723,492,540,733,679,193,990,066,
092,384,892,311,162,608,752,926,808,530,865,830,684,100,081,846,581,176,946,
110,180,922,564,927,582,077,276,893,669,829,700,788,888,874,789,884,339,028,
406,084,992,946,770,818,245,039,528,909,164,828,735,457,544,117,483,793,470,
211,464,734,202,624,210,540,602,407,135,696,022,463,061,507,389,112,149,543,
929,668,874,664,904,992,912,390,416,030,852,352,181,537,122,666,788,646,361,
744,638,320,617,864,567,964,205,395,850,645,272,606,432,432,628,765,786,624,
546,919,614,711,134,453,710,389,510,181,002,667,867,370,378,299,566,437,942,
258,864,910,394,474,596,800,963,465,178,725,166,911,439,005,688,625,233,264,
624,833,399,315,317,964,725,355,358,477,727,963,370,496,323,848,892,367,205,
037,927,011,371,179,951,361,671,488,854,868,904,635,244,584,462,702,757,726,
013,916,701,639,000,871,369,306,753,023,896,474,573,777,010,345,728,806,837,
628,204,484,519,939,170,855,362,615,046,950,391,162,915,615,949,901,796,779,
174,056,230,854,173,646,991,024,434,351,455,297,655,302,135,495,678,754,574,
317,537,352,097,972,641,668,908,574,881,757,560,034,033,066,006,587,030,742,
409,930,820,077,320,559,629,857,009,769,914,169,800,711,771,343,815,478,234,
327,394,984,875,456,057,337,769,684,009,556,037,773,599,585,563,657,985,227,
226,507,552,727,482,860,981,721,591,398,794,765,280,094,000,771,390,488,573,
482,190,756,632,923,853,708,828,089,738,336,546,524,955,617,793,045,110,189,
273,482,582,427,445,010,370,032,968,013,039,707,878,924,732,501,038,360,770,
613,540,190,911,140,148,891,446,331,340,204,989,325,855,069,997,432,188,624,
668,179,990,923,434,592,731,784,079,988,362,078,750,477,500,978,390,881,031,
114,939,948,816,515,443,480,435,983,853,635,066,305,371,384,241,024,284,696,
436,091,023,981,692,097,090,808,349,654,018,858,501,306,431,753,375,051,749,
856,398,345,849,880,226,806,956,785,524,493,963,196,256,172,712,347,410,476,
644,945,957,524,660,253,875,583,305,111,204,920,920,595,537,309,619,782,154,
499,026,541,469,825,679,850,021,617,382,807,187,721,235,613,170,893,533,918,
856,707,074,258,220,506,885,850,223,184,258,375,470,988,466,489,721,570,148,
598,410,743,004,047,840,890,506,278,727,104,061,258,882,185,857,558,885,250,
796,760,095,674,832,609,740,543,203,138,402,212,179,077,991,394,212,164,917,
820,662,263,972,309,231,886,324,439,577,177,735,301,740,916,491,696,326,694,
199,960,237,220,172,491,309,689,345,167,790,392,353,407,502,637,239,143,643,
525,065,362,560,680,736,931,533,430,882,949,461,417,379,428,141,565,691,187,
000,684,250,930,525,471,288,622,394,017,181,589,784,882,292,586,559,436,146,
962,063,163,238,172,949,877,547,573,905,610,595,561,024,418,367,890,316,126,
900,232,472,666,399,500,761,561,791,060,703,669,944,342,689,753,504,764,087,
174,852,691,500,002,505,255,530,293,344,288,937,879,963,983,753,373,103,341,
880,901,217,249,489,188,504,569,371,931,517,277,017,993,689,395,280,238,520,
409,897,532,372,763,005,450,884,251,843,421,271,026,666,904,840,105,051,763,
911,227,030,209,274,134,290,282,202,841,437,180,202,211,911,208,525,798,917,
196,117,602,628,505,669,421,377,221,607,715,462,601,173,606,621,424,595,931,
613,878,893,825,879,914,157,389,438,002,019,927,873,955,804,731,792,110,805,
728,263,075,197,463,924,398,304,498,639,145,269,196,800,456,672,695,257,824,
648,140,502,231,032,769,751,921,937,220,801,745,961,478,008,921,862,384,682,
294,716,480,042,314,478,324,707,421,712,346,743,947,740,751,992,569,928,385,
396,930,660,293,748,334,240,863,258,211,361,428,379,419,728,887,700,712,729,
442,251,935,235,812,541,955,816,084,247,643,335,106,856,584,275,581,359,083,
953,412,795,947,755,239,574,369,237,132,004,449,609,094,608,640,959,095,854,
268,229,673,575,344,716,892,987,067,954,514,267,825,386,572,584,837,489,444,
999,678,227,927,941,205,317,070,629,412,911,826,467,933,950,409,672,246,797,
518,637,888,858,013,501,301,102,373,303,059,238,547,823,728,912,454,139,916,
867,855,631,190,953,183,009,724,679,065,600,772,399,044,125,567,576,113,884,
809,719,648,992,870,759,992,787,295,219,296,662,218,783,172,924,440,947,373,
775,167,605,531,785,197,448,238,738,431,961,658,653,038,665,743,330,540,617,
781,786,480,681,440,585,510,331,069,957,903,478,308,336,851,728,018,766,396,
192,329,931,378,635,113,532,496,273,353,530,845,783,983,091,522,528,419,038,
954,694,893,449,330,677,996,154,925,964,476,704,491,760,677,475,854,847,222,
700,275,792,468,249,755,097,767,512,076,115,376,910,218,471,859,450,193,119,
747,024,797,974,781,751,795,399,579,599,116,057,392,774,366,346,571,918,319,
693,412,412,808,289,001,697,036,594,374,746,269,505,808,134,128,144,741,284,
016,896,875,876,624,543,325,037,018,514,802,823,321,158,065,664,899,118,597,
897,496,881,065,634,710,882,799,627,836,500,309,333,457,780,831,661,753,354,
895,375,489,662,809,029,408,176,631,514,827,041,925,772,960,458,724,076,924,
121,170,393,428,654,052,246,252,577,750,179,351,925,059,418,260,444,389,325,
922,332,615,189,910,410,515,419,209,408,770,738,567,250,739,966,901,871,682,
807,841,576,199,868,036,301,106,411,975,712,673,747,459,135,031,680,317,193,
062,547,788,496,991,092,158,365,998,486,899,207,173,650,235,504,596,654,779,
773,947,133,207,278,878,528,234,317,855,543,562,464,230,388,400,819,250,299,
551,683,876,272,978,138,119,757,176,288,380,771,369,989,295,976,807,921,555,
806,413,398,049,106,044,891,094,047,936,577,833,080,797,981,195,033,848,041,
111,921,477,362,418,874,557,598,366,316,787,500,852,987,312,408,372,059,776,
061,323,220,755,624,732,248,197,636,483,950,206,543,278,913,182,077,833,966,
490,926,944,521,086,866,263,383,133,402,570,089,339,429,566,948,627,432,308,
827,695,559,845,872,267,281,777,303,016,955,094,281,025,104,686,892,911,384,
178,305,012,116,365,570,891,178,451,027,796,046,132,889,218,573,807,570,339,
461,737,003,743,789,501,117,603,168,660,378,860,690,337,871,631,347,976,636,
916,767,983,388,240,221,387,209,463,143,583,604,264,581,062,893,104,174,765,
670,881,825,257,858,511,928,079,951,321,453,767,675,665,249,739,086,574,847,
485,976,752,814,686,651,532,403,516,941,138,258,899,413,554,901,310,639,407,
601,904,004,696,774,851,141,981,233,124,612,437,785,009,030,214,046,210,684,
938,397,172,481,705,428,643,890,313,699,061,623,370,812,873,252,425,753,218,
720,642,821,018,247,424,643,503,608,596,939,574,673,517,587,429,967,501,905,
598,881,298,207,112,153,172,798,495,114,018,773,495,836,798,977,426,571,075,
128,548,714,691,297,155,007,606,529,893,334,770,757,399,365,220,327,088,006,
514,829,470,439,703,488,649,682,613,106,344,707,569,092,025,217,229,337,620,
189,100,661,000,264,590,687,721,680,949,823,498,745,235,851,803,966,952,464,
187,024,127,502,180,705,307,827,903,416,776,374,447,191,112,185,900,391,684,
677,626,001,480,523,890,845,386,860,684,973,958,640,730,660,844,105,690,134,
764,072,246,436,752,399,487,101,647,341,737,504,521,817,169,248,779,989,710,
558,276,997,497,001,233,795,429,892,939,499,620,287,066,544,494,868,355,662,
770,036,827,912,671,537,541,156,293,511,800,691,175,813,668,911,979,431,506,
292,761,134,229,726,436,260,304,585,437,757,313,365,689,176,513,530,883,215,
350,944,769,796,786,690,302,177,329,427,526,170,919,374,413,700,970,967,954,
830,051,153,301,821,335,995,506,481,996,672,056,390,600,533,153,546,394,473,
197,470,378,781,579,667,381,567,253,444,683,329,929,201,783,002,595,499,397,
658,994,510,151,490,047,106,482,022,439,476,212,177,568,545,050,052,631,756,
920,855,953,612,725,962,729,152,850,990,505,310,436,693,071,326,642,819,537,
568,064,100,388,870,338,306,898,901,019,003,488,803,167,640,366,174,568,807,
339,557,357,950,090,977,155,549,957,062,221,546,688,882,276,526,214,696,510,
963,106,763,080,341,501,859,701,894,417,423,514,839,731,575,985,253,523,803,
171,795,406,594,407,516,585,349,133,122,699,594,842,631,205,757,331,713,409,
648,113,356,778,229,391,900,564,162,676,384,330,541,350,599,166,083,591,841,
093,379,475,790,082,251,714,843,316,125,000,464,129,872,432,129,736,510,552,
734,770,243,046,594,144,902,344,463,192,332,273,818,580,784,762,175,690,734,
430,504,873,218,877,921,362,651,847,183,626,819,228,641,403,053,273,608,735,
614,181,616,378,262,937,784,114,454,841,610,621,140,210,817,576,485,551,679,
016,251,865,005,642,916,636,954,074,030,060,377,871,668,013,312,506,622,046,
803,038,346,473,059,724,639,477,721,090,804,679,049,620,335,984,786,096,123,
772,590,556,723,301,969,560,881,501,867,323,760,863,635,617,332,391,749,900,
279,697,845,227,234,839,522,119,015,666,355,154,723,475,005,742,679,782,857,
228,945,993,813,559,441,352,216,130,682,333,015,152,091,389,389,069,626,833,
307,106,868,437,174,176,136,810,407,029,725,688,467,781,329,777,299,337,817,
883,453,689,601,324,298,612,257,036,196,914,287,797,113,422,240,283,333,554,
629,825,824,319,830,828,496,773,914,856,877,226,989,190,806,589,747,141,323,
936,630,906,400,031,082,086,527,846,283,024,524,743,958,691,912,336,834,628,
080,412,278,376,130,501,307,915,564,226,610,553,237,076,467,727,364,265,216,
768,636,755,854,690,229,159,121,916,277,190,313,766,793,063,578,294,391,058,
400,867,432,986,218,184,493,834,989,487,979,102,604,178,855,311,084,584,086,
326,775,722,275,398,819,762,764,605,609,825,191,673,423,266,620,065,177,355,
307,410,677,033,108,649,948,365,636,830,996,078,848,114,063,062,275,470,794,
091,883,679,872,941,304,136,685,631,040,190,493,679,189,765,744,374,924,502,
191,212,807,842,796,060,705,644,075,287,302,465,719,273,557,579,696,275,461,
070,836,125,712,744,446,925,400,952,711,239,240,135,356,607,125,124,999,975,
495,966,152,100,131,343,431,687,652,328,851,665,524,803,462,864,790,564,761,
317,807,134,948,121,357,558,176,003,113,025,654,915,807,063,167,582,934,633,
077,017,555,597,507,110,076,777,222,549,495,939,865,915,916,520,656,639,512,
352,185,874,082,502,397,839,496,569,197,502,943,846,023,451,326,721,096,129,
662,806,786,876,054,234,947,654,345,658,506,986,108,508,174,534,847,381,789,
912,157,652,270,807,708,071,541,476,812,339,959,980,668,853,091,590,011,601,
461,105,189,876,801,543,059,210,740,670,458,635,060,118,443,540,647,665,771,
562,838,797,611,396,483,404,869,620,695,117,851,174,093,701,916,244,816,909,
908,323,863,384,767,740,746,988,236,213,895,331,355,049,438,557,576,010,111,
667,284,910,009,915,241,698,123,706,310,348,169,977,939,888,997,468,342,614,
121,707,101,998,509,278,246,620,377,496,333,764,649,190,327,815,377,249,427,
456,274,423,285,987,884,185,543,516,344,795,007,642,937,294,975,535,477,887,
361,247,808,945,548,854,855,330,570,511,719,865,756,824,018,475,321,664,417,
888,412,824,482,657,568,650,623,358,424,502,942,838,336,080,271,626,513,336,
803,082,013,109,876,669,686,697,348,400,264,405,036,874,213,534,310,448,610,
590,749,571,822,667,249,088,180,720,782,349,319,920,041,977,890,911,528,609,
260,160,047,166,304,974,037,578,814,428,680,493,254,361,179,296,658,214,187,
763,194,400,096,822,648,623,318,167,590,707,885,884,495,867,113,222,032,963,
433,457,987,924,810,616,764,677,058,075,333,264,164,910,340,027,727,897,428,
477,831,956,350,882,870,580,489,134,155,273,308,152,270,811,847,792,069,500,
296,093,297,850,135,103,004,721,142,011,539,523,006,289,330,616,558,248,305,
731,758,851,810,752,882,431,887,453,400,843,529,467,976,178,673,039,556,033,
113,951,721,729,856,257,075,377,535,688,586,350,249,555,490,876,193,771,046,
024,287,546,928,494,849,381,214,973,005,099,558,203,362,160,603,416,344,771,
956,381,586,455,525,226,008,237,654,011,213,779,430,120,605,870,609,970,099,
090,457,522,951,576,885,710,795,045,751,236,452,382,898,819,312,192,501,020,
091,925,696,244,003,097,072,010,419,269,334,935,596,964,474,320,232,088,909,
460,196,705,527,765,886,709,653,563,792,049,603,629,966,732,364,157,451,957,
941,405,575,342,016,982,744,449,123,794,553,167,304,925,667,629,910,347,553,
727,880,547,651,538,496,625,847,665,687,455,498,357,804,713,997,345,153,862,
784,189,048,434,561,722,485,179,801,661,152,140,555,970,397,636,314,996,540,
337,984,888,361,112,329,323,808,268,071,939,056,721,435,089,845,831,814,911,
703,081,368,846,491,796,606,557,234,205,948,298,406,958,095,958,371,457,077,
929,799,706,797,992,479,330,919,244,946,492,655,907,157,864,773,770,523,828,
382,128,985,416,288,767,306,053,381,872,443,108,113,439,964,570,925,046,079,
823,879,077,775,864,756,715,223,294,691,346,021,689,268,680,465,929,347,942,
272,258,363,438,940,102,573,254,781,043,762,160,090,972,690,946,740,959,685,
099,887,099,541,668,615,212,968,555,686,040,914,459,852,589,180,842,187,962,
515,220,632,877,575,508,825,280,876,815,119,699,895,115,556,837,325,914,492,
058,688,187,506,709,694,339,829,441,659,870,114,822,869,470,301,600,711,652,
827,150,605,054,838,494,722,768,775,727,662,362,619,692,806,868,490,451,295,
095,532,580,764,435,154,372,020,256,123,130,458,331,161,221,440,185,383,460,
389,204,129,224,315,022,565,560,841,171,259,643,001,129,459,409,922,707,746,
447,075,601,454,924,739,837,675,752,602,986,951,479,940,574,815,650,914,083,
578,480,304,739,752,741,688,199,933,872,594,403,296,994,663,095,892,275,586,
220,607,641,264,492,675,067,909,117,407,689,674,386,687,286,880,403,520,938,
936,286,578,486,111,055,415,093,738,649,427,800,388,415,535,492,499,724,035,
565,486,354,905,218,969,941,373,339,936,528,540,052,024,440,283,947,127,716,
159,412,291,837,138,253,049,613,615,888,869,072,258,527,993,020,852,335,111,
325,155,764,235,630,612,932,274,679,903,215,286,279,771,081,865,322,140,709,
443,044,045,410,251,831,285,697,352,012,001,987,151,765,077,535,113,931,179,
533,054,803,612,846,743,739,315,163,677,601,267,880,075,337,286,806,785,395,
226,668,257,956,227,314,463,614,664,522,583,240,948,358,033,756,918,475,785,
067,539,454,354,686,489,377,188,380,415,734,082,373,909,660,394,424,355,123,
715,777,571,354,784,100,606,666,234,564,627,240,934,095,788,593,962,745,582,
210,490,080,443,583,270,566,248,163,342,951,272,268,439,070,888,736,587,225,
784,788,932,929,042,921,539,036,593,722,914,502,315,924,752,991,267,358,627,
066,593,385,880,678,633,115,620,547,445,393,151,254,245,808,894,254,170,899,
034,016,913,050,570,557,457,153,188,283,732,272,717,434,334,376,529,372,998,
622,045,358,439,712,373,593,208,901,484,770,931,029,166,402,554,769,774,244,
026,752,084,820,535,676,762,694,363,851,434,958,000,487,360,201,032,710,901,
050,666,083,971,251,748,316,551,213,445,836,291,772,665,678,751,536,324,871,
612,578,821,897,485,611,644,718,566,152,626,271,116,245,714,819,377,868,839,
985,348,524,563,231,986,136,165,826,404,299,058,867,617,188,052,371,151,165,
238,635,958,657,380,540,841,721,950,940,273,520,430,206,175,193,415,969,575,
259,749,393,648,963,980,914,541,291,562,748,205,028,560,046,237,449,851,138,
311,065,840,252,605,890,730,814,768,857,825,085,496,395,866,085,931,589,779,
293,346,333,680,786,712,299,840,751,520,531,279,408,315,512,232,151,429,224,
662,193,279,651,439,888,095,178,911,266,343,691,044,035,058,808,385,189,449,
494,072,940,131,219,973,048,367,523,535,351,135,344,056,723,302,970,246,187,
092,332,281,080,074,983,703,493,569,552,928,479,500,424,814,095,422,203,083,
630,198,211,019,285,995,753,074,456,582,696,637,673,160,575,550,447,036,217,
495,482,816,886,236,181,872,271,068,636,167,585,376,282,360,462,946,193,960,
992,733,649,693,055,699,895,655,659,758,765,955,249,693,433,938,878,741,863,
772,344,028,271,261,511,189,921,478,775,009,673,675,053,883,322,559,606,341,
883,502,880,956,472,864,778,613,798,060,767,464,719,874,460,738,274,824,942,
286,409,632,672,349,125,601,207,421,179,099,785,145,416,659,388,320,344,945,
597,631,036,780,882,940,060,175,931,802,457,826,523,735,638,117,554,165,356,
526,032,463,132,312,155,939,305,075,595,518,882,603,795,349,877,481,846,585,
005,813,483,924,207,691,688,857,039,054,374,617,742,414,096,412,866,443,316,
093,762,072,484,862,337,598,822,093,348,397,060,470,036,082,176,737,635,155,
767,416,413,685,959,188,420,026,497,748,787,124,514,713,573,763,135,860,349,
377,461,858,798,853,451,931,100,641,333,583,584,269,773,115,310,074,894,852,
249,619,013,004,189,563,138,700,866,743,672,765,878,327,644,545,846,833,100,
599,124,094,626,982,262,113,441,313,442,210,959,369,841,907,432,551,199,843,
732,049,838,316,471,433,812,467,449,725,043,706,099,729,921,114,111,899,064,
760,008,294,054,616,653,479,997,960,868,313,671,453,552,792,822,608,500,468,
089,206,234,383,981,695,468,715,487,607,983,386,549,468,831,007,214,552,529,
568,527,457,746,248,412,321,756,659,809,586,145,310,108,610,935,162,633,941,
570,702,889,215,261,906,587,832,685,798,048,189,129,269,883,938,072,520,692,
145,109,625,009,554,725,847,298,542,402,476,047,286,588,634,836,279,422,371,
699,386,763,383,734,228,933,367,421,235,975,928,784,770,017,387,090,645,231,
459,952,350,996,668,092,143,461,316,562,058,689,878,021,851,238,993,293,165,
156,516,765,456,173,939,317,301,981,686,891,189,085,034,740,186,235,653,729,
006,617,506,548,426,341,968,068,015,785,278,916,002,984,944,676,134,038,026,
056,116,717,127,323,318,609,297,962,222,269,898,009,669,109,914,366,182,547,
727,838,658,780,269,780,019,702,469,431,100,822,206,704,883,721,535,214,789,
174,072,315,679,047,508,095,032,973,117,580,010,798,998,793,556,617,888,377,
756,305,708,564,481,832,892,710,330,037,533,805,730,636,898,172,798,187,112,
017,763,627,446,293,338,742,834,655,845,845,566,713,328,947,824,457,074,435,
890,172,501,576,320,608,426,850,361,737,246,134,927,089,554,366,780,481,063,
002,609,514,412,974,374,873,748,374,703,766,591,365,320,756,933,257,819,328,
265,994,180,760,934,228,416,406,638,555,679,537,636,972,506,429,629,263,010,
434,542,518,128,578,190,898,956,824,197,864,753,864,837,130,857,558,236,347,
328,338,328,174,184,738,191,536,272,680,671,637,026,523,662,415,146,604,615,
541,675,766,272,055,182,093,996,917,846,823,595,924,349,681,797,111,490,357,
555,039,499,963,597,475,998,739,904,732,673,219,359,697,248,907,174,571,694,
511,698,858,442,521,783,467,155,694,023,530,330,222,015,107,862,535,225,265,
369,237,475,032,314,248,279,523,654,134,495,294,930,347,004,952,684,881,125,
080,863,090,356,227,463,293,177,579,806,974,610,479,215,565,349,418,239,200,
675,192,153,064,938,743,246,616,554,568,333,046,633,784,116,348,690,027,767,
990,409,405,950,294,277,237,655,123,510,391,547,097,238,118,734,112,718,014,
401,643,638,266,147,036,624,186,113,603,778,186,516,698,280,241,022,471,283,
707,047,902,724,548,757,847,729,541,890,366,756,774,228,990,996,157,468,995,
390,327,961,848,507,210,528,720,927,410,585,251,822,207,415,073,446,645,529,
005,381,534,469,401,370,106,471,053,463,316,975,032,861,306,503,524,171,018,
681,336,930,901,174,779,648,735,821,582,224,665,261,873,861,841,442,880,176,
939,770,929,432,506,570,002,992,624,982,772,398,435,429,289,054,258,478,468,
125,968,907,225,090,863,471,537,700,563,010,878,511,375,878,142,697,393,030,
186,133,012,374,794,856,865,336,280,898,661,820,775,278,204,394,130,704,755,
717,641,535,157,362,685,161,485,342,286,190,125,976,403,898,564,936,422,852,
737,693,592,213,793,600,969,229,832,518,617,151,984,956,481,953,592,326,941,
549,890,458,620,199,875,696,914,480,127,567,696,616,375,086,781,983,732,844,
533,265,552,487,435,631,864,650,718,676,611,382,415,028,626,330,870,036,778,
917,775,427,925,520,391,549,858,998,624,554,924,519,700,571,661,429,202,446,
052,517,036,765,393,653,652,150,648,051,770,126,878,016,314,928,559,655,084,
535,318,366,233,617,073,555,311,140,464,142,402,041,325,038,373,095,103,675,
059,319,369,857,700,039,701,493,231,554,027,093,367,126,387,995,912,324,254,
408,864,500,171,113,998,785,233,072,343,970,362,159,130,597,542,854,245,309,
578,461,720,814,630,971,066,280,282,588,582,268,934,791,791,111,499,977,481,
000,375,262,235,650,483,581,628,763,228,864,302,668,576,101,731,341,425,449,
606,255,004,808,354,199,214,290,776,489,958,479,364,674,456,684,415,663,937,
476,839,638,879,951,936,070,074,894,583,744,749,062,158,615,286,150,511,010,
336,243,441,573,121,907,696,993,875,747,824,474,151,558,440,427,430,055,315,
090,879,589,899,499,907,570,877,952,295,963,591,140,193,837,800,375,708,551,
704,890,751,320,811,281,449,126,888,060,180,259,952,998,764,735,604,127,541,
057,625,629,554,844,476,244,602,547,626,956,959,859,608,031,041,860,505,094,
254,291,468,103,939,533,261,727,358,511,589,877,802,448,288,987,134,781,119,
848,375,317,011,190,467,523,107,701,853,837,154,588,814,722,505,637,141,469,
356,972,383,561,705,020,666,503,803,230,644,448,172,343,639,931,538,742,837,
922,790,199,093,738,702,910,772,197,291,226,054,934,443,856,603,375,313,068,
604,932,369,306,353,673,623,358,331,904,653,479,471,765,915,944,861,846,975,
359,525,726,189,673,768,699,203,825,714,965,008,371,951,088,247,341,660,067,
537,328,709,517,626,078,429,605,541,471,188,548,891,880,068,223,853,036,149,
747,556,522,698,094,826,925,448,041,366,114,408,760,185,135,464,157,836,324,
806,324,575,670,246,438,169,541,329,546,430,144,710,086,424,286,874,686,092,
864,275,120,891,221,331,088,790,363,424,424,511,423,143,479,737,391,496,896,
359,747,686,003,668,943,209,245,353,346,348,791,433,795,810,514,249,776,558,
350,837,034,642,753,561,669,271,664,792,280,304,034,960,810,210,963,577,375,
338,020,754,912,521,860,994,752,946,596,832,818,228,479,261,867,678,604,752,
298,627,880,144,602,518,676,283,006,437,218,930,768,975,521,790,974,014,281,
862,791,177,143,535,769,756,023,780,750,148,512,945,159,998,445,614,652,490,
606,234,537,019,724,631,210,290,362,713,059,686,466,536,031,242,802,377,464,
716,091,371,271,000,447,365,720,829,772,424,023,617,424,973,512,390,553,604,
622,376,477,182,520,152,516,612,629,626,535,949,746,796,646,327,656,750,962,
184,811,564,270,593,512,075,201,931,217,541,497,863,475,856,122,751,756,957,
666,031,346,338,255,196,761,273,841,177,953,751,390,164,009,119,715,727,574,
141,376,181,262,967,733,156,834,307,355,227,388,443,564,570,943,267,315,578,
074,197,885,267,561,010,826,583,366,413,637,619,059,570,769,107,517,017,380,
457,365,940,116,046,427,299,515,437,615,052,409,688,086,593,152,252,836,488,
557,535,390,899,357,501,716,794,010,621,485,736,092,820,576,974,307,894,040,
880,582,355,561,082,088,334,479,364,431,878,310,644,382,596,000,131,599,021,
537,909,636,529,245,926,226,490,198,982,603,859,397,359,439,462,555,111,142,
436,051,456,976,832,811,978,882,069,653,299,469,657,316,041,564,062,129,630,
694,416,932,822,703,190,865,863,737,796,148,003,674,234,931,207,817,192,151,
483,226,427,647,095,906,052,102,309,665,179,312,950,412,199,037,602,738,529,
459,468,235,083,242,424,718,748,546,056,019,839,009,632,748,180,947,732,175,
953,283,845,109,089,189,722,781,679,123,219,060,596,773,010,534,764,434,629,
734,263,148,257,037,877,607,732,657,894,541,353,826,042,218,411,784,085,537,
785,726,065,954,824,439,736,236,437,392,000,506,941,492,267,498,682,424,465,
842,316,193,114,546,029,131,719,288,698,392,773,934,533,493,897,970,235,017,
315,081,187,031,026,755,126,812,466,219,928,971,519,754,718,504,721,597,133,
440,731,835,456,790,348,015,588,708,889,734,313,981,900,490,118,131,016,266,
357,340,535,801,501,639,034,530,117,666,313,690,999,668,604,808,048,548,488,
464,780,164,651,928,184,107,964,808,888,566,608,688,454,525,640,245,478,228,
020,356,463,945,677,656,402,650,400,861,850,926,557,740,259,009,654,165,458,
945,573,438,321,987,097,301,035,138,058,266,142,532,999,271,980,193,894,644,
624,234,369,012,797,053,704,366,345,458,103,681,859,878,640,902,634,669,082,
967,285,865,496,707,929,356,383,990,535,170,216,931,714,695,224,897,262,496,
919,348,482,394,530,202,120,034,822,423,188,295,853,814,266,909,214,655,675,
208,575,633,578,432,214,530,032,089,252,380,314,088,757,265,509,533,085,005,
695,279,677,110,570,204,097,958,528,537,232,852,164,590,879,537,501,546,141,
800,459,478,606,065,895,302,066,982,793,960,590,723,704,913,262,401,747,284,
410,778,915,191,081,787,299,516,637,729,074,124,004,116,451,653,566,279,466,
447,843,431,911,773,476,653,908,584,691,601,051,531,524,260,166,448,987,962,
554,809,644,846,460,279,346,061,720,711,562,206,852,214,311,340,298,510,074,
289,488,850,558,558,465,580,500,394,604,691,436,073,397,318,869,722,915,596,
664,782,430,156,009,149,488,439,549,428,074,681,843,877,628,997,000,273,146,
943,381,223,934,030,465,958,241,392,147,433,475,292,314,420,768,958,121,432,
093,176,236,329,352,077,578,422,769,822,455,649,871,696,136,225,867,246,213,
388,205,191,615,110,989,813,709,602,782,960,814,889,982,706,227,826,507,713,
156,405,579,275,274,001,297,746,041,681,121,103,699,854,369,753,020,158,124,
020,211,652,545,378,358,439,146,379,014,203,987,891,759,539,718,955,023,314,
824,673,050,832,681,870,199,831,092,613,789,476,564,024,762,373,803,929,243,
672,042,246,712,798,231,675,721,119,747,045,024,678,369,623,848,866,235,458,
382,181,775,348,100,198,900,762,940,223,961,363,278,768,106,712,093,699,887,
103,332,409,527,452,427,939,973,515,172,458,133,900,436,530,941,338,226,017,
601,376,519,305,643,052,153,422,709,465,213,402,128,953,156,725,295,069,330,
731,435,009,185,096,282,531,269,606,997,890,268,463,855,928,047,017,580,003,
929,425,257,768,188,514,886,568,732,545,548,435,585,896,972,719,101,433,891,
150,796,015,285,680,065,364,959,038,157,966,921,773,050,625,984,145,799,407,
414,204,647,953,376,588,905,765,814,667,669,395,701,909,469,087,588,664,540,
532,939,348,872,122,685,755,742,503,140,059,660,142,766,833,917,578,472,936,
233,464,254,801,593,893,726,898,558,838,283,855,779,813,926,992,618,617,582,
109,103,142,875,614,562,680,319,379,329,435,763,307,622,850,513,079,259,709,
355,019,572,034,921,396,093,367,462,476,174,091,761,460,451,258,688,435,380,
142,057,706,815,381,390,641,642,201,584,548,473,270,037,713,334,778,772,003,
893,796,774,283,837,410,747,031,563,285,199,332,420,470,233,708,283,257,961,
325,101,496,989,939,979,304,371,041,043,174,290,652,368,069,525,246,797,060,
424,979,119,636,334,644,829,669,869,219,587,406,120,414,771,462,990,577,192,
074,003,732,653,842,434,719,567,027,139,972,763,730,698,480,076,726,599,376,
418,612,126,390,861,234,203,542,840,899,093,269,875,872,558,813,591,660,564,
278,551,020,033,341,730,765,424,406,715,477,787,687,670,240,187,625,284,554,
231,567,002,319,683,729,152,695,718,253,419,232,058,528,504,901,957,531,906,
281,672,006,552,274,911,177,325,432,302,924,822,402,529,092,817,138,772,354,
319,216,167,701,039,162,233,289,640,330,786,778,775,721,808,502,351,288,436,
372,715,249,454,246,798,555,782,515,144,189,843,032,486,075,956,341,277,931,
185,458,567,965,845,751,390,432,758,364,297,065,194,518,521,864,738,328,870,
546,402,945,610,872,775,806,052,431,192,147,188,755,393,943,294,078,273,936,
399,738,091,600,911,769,085,422,183,930,933,381,367,074,569,211,381,023,507,
465,709,618,640,304,998,102,741,511,426,193,443,557,282,515,048,953,463,605,
676,891,563,206,699,837,837,211,841,527,419,340,875,146,142,680,100,484,363,
397,141,820,286,860,144,610,054,789,051,546,385,633,436,316,209,681,020,257,
511,431,319,125,101,645,450,035,884,726,673,405,983,832,201,906,921,272,732,
539,366,239,412,681,932,292,005,786,523,037,309,625,761,269,974,128,548,572,
223,424,905,656,531,893,573,987,324,643,462,131,464,331,773,441,768,512,551,
831,265,635,128,149,973,850,195,862,799,022,398,077,742,688,238,472,301,575,
176,561,533,325,004,350,180,844,198,435,999,016,519,496,144,907,382,474,327,
631,832,926,865,308,579,851,854,626,109,764,900,484,363,980,568,934,685,897,
770,388,072,632,292,998,409,729,308,227,670,662,032,004,838,599,256,222,841,
734,060,429,712,792,723,367,630,278,786,104,843,832,987,068,897,484,517,060,
951,251,663,593,301,811,292,862,992,854,962,185,704,129,002,693,293,146,935,
015,973,922,223,572,328,608,388,315,133,027,982,242,596,491,468,313,617,150,
803,789,794,161,998,867,080,115,894,278,149,342,314,234,214,039,010,647,945,
633,945,426,792,018,223,148,565,053,455,515,555,963,499,477,753,079,165,756,
471,939,646,555,650,853,583,867,613,954,532,178,354,890,598,890,739,074,228,
597,397,362,082,178,826,827,544,880,408,433,677,152,590,913,038,790,114,054,
088,340,842,115,198,407,446,882,343,930,487,773,969,995,300,791,317,824,788,
620,960,418,313,666,420,757,387,658,499,578,882,422,126,923,073,507,287,287,
057,082,927,728,618,792,177,294,454,870,462,776,626,627,512,095,261,533,818,
956,291,752,443,589,087,521,372,397,381,883,246,587,098,554,926,583,592,725,
798,401,533,139,276,841,504,695,110,829,599,759,374,762,099,924,473,928,762,
320,844,868,389,837,601,191,569,498,499,534,813,140,222,450,200,418,326,857,
308,187,149,160,930,874,923,122,808,791,863,776,672,457,312,617,072,455,871,
670,791,080,113,226,560,794,090,206,705,877,673,110,616,361,786,125,090,780,
947,335,244,720,842,347,649,498,247,277,494,406,513,296,287,769,510,169,545,
681,782,207,095,116,393,629,897,083,839,271,707,453,192,873,163,972,470,186,
977,913,614,372,335,780,244,150,059,963,619,841,733,411,474,976,162,476,898,
875,537,739,539,310,079,786,985,661,384,362,332,641,467,457,441,011,144,719,
933,305,469,536,695,350,313,243,639,993,466,555,223,846,170,924,765,011,109,
911,187,499,311,576,096,707,379,678,606,900,703,143,531,780,144,968,424,325,
512,359,510,054,077,586,321,130,600,664,638,023,399,834,114,430,045,742,054,
351,864,393,594,857,581,000,351,603,666,245,401,243,815,305,825,575,015,584,
426,723,435,701,666,239,655,403,331,943,381,963,987,074,305,853,600,759,982,
088,342,548,758,686,136,148,003,567,379,791,549,054,158,450,836,864,881,547,
245,568,259,832,830,848,177,997,198,122,772,113,390,645,640,599,705,247,085,
640,051,617,065,627,926,888,240,471,297,354,251,083,875,361,779,234,272,893,
926,079,428,886,392,844,458,365,114,813,765,062,457,203,539,063,193,853,544,
730,817,927,855,749,422,683,569,820,223,819,610,258,085,147,305,548,136,367,
513,970,547,869,993,521,549,046,055,231,381,513,077,012,390,231,109,075,091,
623,694,708,948,781,814,961,490,325,073,182,578,368,411,252,628,464,803,890,
377,182,132,879,627,573,173,688,013,653,768,412,708,497,166,959,754,350,903,
192,109,887,918,053,785,236,461,574,079,941,796,409,368,851,198,270,765,245,
583,979,710,229,259,040,204,399,389,201,359,228,603,218,473,551,311,264,724,
887,865,658,391,117,932,945,616,482,064,790,560,773,839,887,401,031,497,080,
780,271,524,174,767,107,940,291,889,513,942,548,842,911,891,189,845,428,840,
791,338,454,420,109,992,567,074,605,683,792,185,048,615,094,079,550,183,901,
916,284,479,667,993,505,398,781,615,058,062,195,420,637,053,699,057,629,919,
633,436,131,405,779,157,893,177,193,874,627,770,836,972,911,770,659,116,543,
682,007,723,438,855,693,092,223,282,437,389,346,259,129,434,794,503,872,749,
325,856,853,969,599,039,594,412,831,316,920,975,138,913,565,346,348,754,199,
152,605,462,645,931,319,000,406,951,145,308,371,368,088,003,109,263,519,104,
770,944,939,329,774,426,201,644,244,284,521,575,419,931,474,283,439,911,093,
422,109,141,587,110,331,703,395,387,786,413,118,641,026,435,859,105,137,501,
361,019,175,537,903,372,572,658,058,582,102,828,470,310,768,044,302,228,621,
981,453,177,952,476,837,353,210,037,038,188,026,056,344,142,185,327,020,381,
310,769,790,720,487,137,091,088,276,995,209,716,201,181,102,954,304,063,510,
570,555,187,561,525,380,287,362,657,364,972,794,644,776,659,894,267,363,232,
256,149,121,883,433,964,985,015,859,282,510,596,962,565,020,240,409,945,958,
221,597,222,816,971,324,760,238,215,691,718,598,665,895,592,943,477,126,264,
444,375,639,183,709,826,295,556,859,759,789,183,878,926,354,558,293,512,453,
016,315,877,314,461,026,556,678,912,417,214,934,407,212,310,517,702,789,873,
406,867,838,449,808,300,776,288,016,901,422,171,127,299,098,971,883,324,089,
695,212,051,089,056,342,884,134,061,021,564,196,879,544,227,489,676,402,738,
827,780,959,885,461,845,215,463,555,154,971,256,475,298,069,692,872,396,646,
003,007,876,012,338,639,327,502,662,549,403,605,253,416,205,556,670,741,617,
257,706,350,900,198,706,683,865,691,889,511,336,958,887,015,059,889,847,744,
500,925,247,491,984,682,467,368,931,058,054,683,123,224,329,191,102,343,767,
154,771,521,135,738,853,582,376,767,578,628,309,589,057,539,560,122,115,017,
234,443,543,435,811,584,615,946,532,181,290,714,408,391,971,135,379,411,195,
701,265,656,142,674,399,377,177,331,271,503,366,828,798,149,330,317,939,720,
991,889,881,231,114,105,410,885,874,478,851,654,239,561,410,502,779,071,306,
152,742,010,465,438,942,817,287,716,355,666,527,756,706,459,407,924,447,586,
232,576,652,182,493,783,214,422,272,396,124,869,568,195,431,238,879,881,472,
870,497,374,503,316,874,398,404,457,143,965,672,068,853,569,091,937,378,643,
019,951,786,678,168,858,611,760,464,405,646,793,723,907,273,294,758,207,975,
159,483,263,216,968,478,381,717,060,833,689,975,839,727,531,975,829,696,776,
633,773,157,518,400,458,435,073,265,201,687,873,729,418,056,272,728,570,980,
122,935,772,028,966,624,665,836,540,369,873,010,267,714,042,145,304,315,247,
435,734,127,277,833,190,345,454,052,149,434,367,002,561,036,111,666,282,796,
512,990,062,042,793,006,281,790,759,110,283,854,309,961,602,105,115,221,465,
171,793,128,702,805,377,739,255,609,007,262,817,310,068,660,982,328,403,014,
038,928,092,451,678,032,399,485,752,249,715,311,877,008,667,333,796,933,694,
760,103,411,476,820,674,218,764,322,867,725,429,680,487,772,012,290,899,149,
929,624,131,320,048,599,235,295,651,591,166,391,494,073,901,617,859,837,065,
254,359,703,252,378,305,987,813,623,561,730,074,052,984,553,403,869,226,364,
008,731,799,709,171,657,098,755,170,922,121,394,531,503,424,565,864,162,354,
620,914,907,661,670,871,985,066,201,062,791,005,487,724,626,113,333,425,490,
144,683,795,674,795,606,199,199,581,358,596,530,140,069,607,553,241,121,533,
886,412,988,990,794,555,555,671,137,489,785,790,365,095,411,200,071,591,714,
178,979,196,569,312,074,161,122,396,254,143,333,960,531,646,355,188,708,636,
134,335,781,768,544,981,940,597,160,886,251,284,454,677,539,260,749,777,112,
167,204,287,092,115,893,343,413,412,083,292,623,761,940,535,479,653,353,136,
697,345,233,046,023,685,091,501,718,114,532,562,057,148,801,109,015,210,365,
186,944,346,397,575,114,790,576,731,797,365,875,910,065,295,625,166,404,383,
811,839,891,057,315,403,123,662,123,046,344,470,924,706,102,920,011,814,007,
582,253,004,396,411,124,653,247,000,502,647,051,052,686,297,547,203,338,684,
062,051,412,355,528,490,929,099,894,946,306,540,238,757,349,277,614,068,654,
842,528,455,180,676,785,978,039,394,987,716,681,611,816,957,458,663,208,059,
797,336,273,355,645,601,876,654,217,363,960,113,708,443,881,042,897,140,486,
528,163,476,280,329,842,344,049,329,682,450,026,733,551,008,581,690,453,554,
605,251,638,530,570,209,242,919,922,537,103,325,620,563,407,633,835,296,572,
582,040,702,086,724,600,132,584,152,054,407,894,725,239,739,019,130,128,943,
152,357,232,464,480,628,996,264,155,578,030,486,141,269,104,086,321,840,427,
112,958,911,312,163,635,867,999,619,710,578,352,908,283,625,040,308,389,657,
212,932,610,669,365,954,313,791,544,935,732,258,680,499,769,477,580,013,303,
946,907,758,890,585,448,148,965,353,889,764,830,016,525,861,311,405,330,996,
459,732,580,833,132,525,165,173,113,247,802,789,673,711,297,888,003,874,957,
239,210,668,281,774,259,139,938,492,134,586,724,006,422,518,731,633,923,290,
911,001,058,788,694,272,883,148,863,970,795,757,157,268,472,063,157,609,009,
455,209,062,371,529,054,407,438,870,512,119,388,023,650,626,837,900,404,093,
774,611,551,792,580,968,382,101,168,876,212,171,493,289,779,298,585,520,495,
914,975,697,034,309,993,474,846,655,842,585,686,634,573,864,121,116,615,296,
194,735,429,488,001,040,777,752,825,812,167,923,968,083,235,601,764,346,793,
094,483,469,781,906,867,045,392,760,634,065,472,769,215,146,901,740,579,606,
180,496,279,917,647,942,816,572,563,485,463,395,571,444,075,782,084,150,439,
312,697,840,449,465,909,576,845,646,044,742,808,184,207,198,742,596,328,594,
749,916,171,966,035,545,678,669,410,122,501,343,542,350,440,164,033,169,835,
778,969,252,040,819,956,473,865,620,800,971,658,359,319,388,776,408,159,718,
787,141,877,278,383,331,514,662,584,681,731,045,720,024,864,874,265,165,047,
697,148,484,199,895,628,855,165,264,783,162,738,421,913,830,287,427,681,522,
746,875,261,836,218,857,630,613,051,566,536,354,500,649,927,840,238,777,072,
155,012,074,576,691,786,975,893,365,090,589,780,069,302,753,053,455,328,835,
024,193,987,038,847,903,343,431,525,680,145,297,568,523,075,108,786,138,554,
535,807,931,495,241,712,268,876,177,409,142,033,520,218,449,863,580,655,910,
204,643,864,819,264,434,825,890,114,678,784,315,671,781,793,701,944,822,171,
152,596,975,809,048,039,070,934,598,916,849,895,058,990,570,353,241,680,203,
063,710,081,211,101,693,259,891,336,238,849,247,276,960,157,583,905,989,890,
337,457,427,629,638,575,008,185,430,056,815,248,817,247,678,111,773,314,868,
886,260,061,996,943,423,821,009,622,563,565,185,924,391,717,198,664,146,222,
025,882,256,647,095,478,248,311,763,100,209,369,641,384,940,393,715,440,484,
865,511,824,566,382,440,753,128,592,335,652,099,024,830,762,801,026,567,979,
237,330,631,857,816,717,512,620,059,636,556,449,472,832,600,042,254,410,348,
054,024,694,238,931,915,288,948,774,193,046,720,225,133,446,166,219,689,760,
049,712,937,360,012,208,855,009,919,058,273,101,888,916,665,661,408,055,859,
375,834,392,698,233,056,625,673,688,293,073,968,925,641,082,642,862,757,507,
493,789,850,192,260,368,161,611,795,474,308,286,162,348,750,426,779,129,543,
127,900,570,759,187,771,999,985,245,907,203,045,304,815,416,768,212,362,280,
292,526,807,206,405,389,531,918,614,972,559,329,404,866,663,067,812,475,180,
334,588,993,776,007,708,078,025,276,744,465,109,573,516,415,869,935,507,214,
247,402,625,546,172,908,669,874,460,812,500,504,317,450,383,047,138,070,325,
731,034,355,179,455,238,973,334,113,287,565,716,061,062,775,738,940,308,139,
235,061,440,110,110,479,705,996,626,815,620,774,695,519,983,169,486,987,031,
075,169,492,109,559,200,168,273,418,207,291,820,860,222,462,056,627,263,847,
305,856,842,364,674,777,960,221,953,051,107,097,113,801,978,161,148,117,801,
556,079,150,854,602,885,301,866,523,085,248,102,768,077,850,735,644,488,297,
882,936,217,342,990,454,237,005,525,534,076,417,588,791,613,856,998,429,380,
403,713,434,721,107,613,037,271,036,769,860,693,544,259,120,973,956,786,041,
345,995,905,328,229,659,839,143,684,688,975,568,883,202,820,285,786,298,043,
149,875,165,766,122,765,361,747,472,112,583,718,896,948,808,330,667,735,780,
750,814,827,059,729,577,926,565,778,505,463,309,859,822,320,981,691,549,615,
205,061,426,335,532,462,224,335,553,143,950,359,678,695,221,273,005,394,984,
078,010,026,564,771,600,237,536,157,257,895,271,437,142,016,365,011,460,762,
015,962,758,658,334,660,104,263,684,582,708,521,504,577,619,799,054,432,383,
294,789,351,313,139,992,551,017,122,707,097,283,411,113,666,485,792,749,037,
043,367,021,085,531,564,138,472,655,266,124,997,111,309,602,107,804,528,510,
668,967,550,441,999,192,938,120,614,494,269,987,754,865,567,124,525,393,517,
247,072,342,792,078,916,149,400,873,772,619,892,288,731,552,175,595,375,753,
203,071,162,673,959,440,158,912,820,216,163,878,610,428,279,539,232,073,955,
322,948,154,270,188,732,754,194,692,893,250,776,722,627,390,972,796,478,673,
447,024,963,173,628,142,925,304,825,881,900,153,160,460,013,977,964,753,927,
838,431,313,596,753,623,269,611,858,875,305,095,920,047,850,607,884,060,648,
460,597,019,992,558,013,572,393,924,551,861,694,282,121,229,802,796,516,737,
832,811,276,672,817,192,251,138,112,173,649,771,445,558,378,056,525,829,369,
621,449,810,505,042,099,898,380,895,751,496,961,358,306,983,068,365,105,010,
909,599,984,226,881,378,147,242,225,744,622,687,755,977,129,214,083,651,913,
666,932,011,900,672,319,385,709,297,780,959,634,237,553,935,683,631,046,774,
274,889,093,247,729,831,152,704,713,504,831,588,166,709,924,293,397,031,561,
173,635,749,304,833,239,003,901,635,164,693,064,997,670,835,364,231,945,307,
314,333,328,664,793,640,271,918,354,193,606,408,530,010,240,114,573,323,981,
704,696,473,011,852,632,266,933,311,526,359,733,647,456,374,659,256,744,121,
199,047,102,438,588,614,036,206,635,073,147,262,711,599,547,886,710,682,077,
195,947,195,191,379,735,550,039,273,386,072,988,117,421,428,507,239,761,981,
379,446,779,452,956,953,633,323,276,767,240,851,835,854,214,306,427,046,157,
283,806,283,483,714,624,464,445,781,998,355,693,436,524,166,149,711,397,643,
077,490,551,364,995,154,652,509,822,380,975,604,386,307,992,146,863,942,774,
390,827,172,231,394,003,369,876,362,490,177,554,951,635,247,766,080,302,425,
640,986,275,977,451,127,706,682,640,039,361,042,977,813,358,842,950,089,896,
779,617,807,375,970,987,875,554,735,268,655,384,249,653,916,159,921,562,541,
679,437,505,554,325,735,998,581,844,774,081,084,454,884,448,726,103,174,651,
871,160,909,556,337,576,288,846,406,710,968,595,084,046,732,160,990,402,727,
204,285,515,598,174,909,544,359,225,987,560,037,271,538,254,810,912,608,138,
470,188,414,862,348,627,851,421,911,633,771,456,075,551,131,350,739,942,680,
112,258,954,099,310,025,001,376,503,770,987,776,913,832,712,009,301,429,088,
234,181,249,004,603,531,995,183,724,683,155,996,292,399,646,983,453,416,893,
936,422,919,709,374,954,718,216,800,459,177,294,949,812,002,389,952,067,119,
336,015,274,379,851,234,971,374,037,691,622,904,912,869,900,578,440,285,481,
462,564,543,052,034,166,471,928,708,367,037,047,620,091,227,033,071,199,680,
076,594,665,388,983,318,731,186,381,834,453,580,080,463,175,569,234,975,297,
952,324,742,084,031,360,033,789,794,164,580,131,763,298,612,376,656,966,694,
612,729,216,311,077,294,239,886,412,044,737,944,345,820,398,039,948,071,359,
310,300,794,446,964,757,806,186,936,107,329,442,548,685,552,838,193,865,105,
797,723,744,352,015,596,227,167,198,259,709,172,953,136,274,829,815,325,919,
398,567,661,940,277,584,669,269,811,758,179,287,867,111,721,999,555,272,771,
308,854,385,730,788,214,555,649,141,489,738,462,043,602,995,127,817,424,034,
258,868,440,631,707,244,047,159,886,595,250,477,894,072,691,318,849,471,061,
504,142,398,860,750,321,290,715,253,395,173,675,150,387,497,787,202,900,485,
414,911,258,135,143,094,492,225,721,441,884,303,316,787,361,706,744,586,377,
369,066,550,604,888,950,830,402,246,319,827,012,648,027,194,750,790,387,533,
991,720,317,349,374,258,012,440,859,012,408,527,428,784,012,652,223,203,746,
606,405,493,980,510,204,483,942,601,822,354,626,304,379,095,886,041,189,588,
552,659,506,675,117,456,019,670,362,305,838,662,462,490,469,942,596,383,362,
816,983,678,049,823,304,844,325,219,626,045,827,031,006,837,951,066,770,812,
166,756,908,251,324,342,804,608,030,252,719,904,024,487,918,486,143,547,984,
360,914,365,759,971,156,959,215,874,953,032,137,350,604,762,053,444,740,292,
156,589,254,139,021,360,425,261,108,981,626,047,515,335,757,044,408,812,615,
720,143,646,947,901,007,124,788,744,650,272,490,654,189,536,857,474,124,721,
828,559,971,062,669,371,991,516,982,275,182,259,226,623,593,072,421,321,426,
008,246,687,403,047,865,505,307,623,542,077,380,717,424,482,630,129,140,265,
267,676,334,864,024,421,084,292,146,828,985,124,138,563,071,952,299,531,882,
165,258,547,884,659,886,147,500,706,784,806,775,693,961,396,408,501,181,606,
200,227,592,596,243,926,840,876,878,721,216,141,588,113,708,511,277,095,440,
248,655,810,987,956,365,967,235,479,067,028,658,242,790,203,586,312,049,020,
874,278,036,118,525,838,574,391,885,586,731,702,938,385,016,912,022,186,134,
796,440,434,976,934,670,934,630,284,103,293,981,365,773,653,152,845,856,236,
467,952,028,897,024,425,173,329,809,278,123,412,048,820,817,643,118,059,630,
767,780,794,138,734,333,574,404,212,214,403,721,691,010,120,306,865,720,478,
011,782,364,818,701,059,516,869,138,323,743,848,018,352,870,445,971,411,847,
006,830,712,607,356,442,266,241,660,558,186,626,488,574,401,159,125,403,764,
483,543,311,587,270,601,181,588,000,244,458,266,755,007,152,970,785,124,149,
831,721,449,037,682,018,180,441,111,847,750,982,599,708,903,762,461,688,592,
498,779,765,743,694,045,530,106,883,490,755,943,689,400,297,581,894,665,962,
937,447,797,367,413,825,800,240,683,630,329,656,976,676,814,196,298,705,342,
779,891,836,677,808,192,108,783,841,491,853,949,570,271,682,874,172,434,231,
963,236,647,650,164,786,438,369,829,702,855,125,617,815,246,021,929,394,018,
520,453,119,675,940,332,924,299,051,624,173,055,717,137,917,012,514,398,693,
470,779,083,171,874,401,789,048,297,112,930,440,202,624,394,884,519,086,812,
605,361,500,268,418,612,619,653,633,737,727,775,039,576,669,781,126,485,065,
255,492,524,584,298,290,493,539,615,562,138,183,237,682,930,659,684,067,306,
379,513,580,512,079,648,249,400,523,838,863,268,753,583,293,681,544,406,988,
232,307,338,675,159,838,000,373,537,052,413,733,300,437,801,656,754,103,935,
329,748,131,376,334,620,549,523,646,411,912,361,768,518,039,816,851,838,023,
929,814,724,484,408,843,117,324,502,293,165,028,603,329,519,169,409,498,413,
006,155,598,918,866,482,774,411,198,606,148,535,812,201,000,002,518,098,572,
482,394,794,219,605,609,700,010,910,425,856,134,169,116,460,536,526,469,019,
120,046,915,827,703,834,194,328,174,750,118,746,574,312,946,405,032,701,011,
667,949,525,338,650,514,452,204,725,945,423,166,480,465,309,390,729,083,590,
947,431,640,920,224,930,664,352,238,834,614,423,830,068,074,541,158,255,499,
663,005,463,148,189,171,364,586,949,763,050,512,540,963,431,297,119,078,703,
028,530,220,444,603,649,930,319,715,865,206,156,777,279,177,118,658,116,558,
928,777,774,466,061,555,272,107,843,223,482,235,104,680,800,055,534,801,717,
570,267,553,793,711,185,097,926,452,847,676,102,775,248,578,800,499,545,338,
081,248,383,390,794,344,467,692,418,557,794,293,573,846,808,854,679,716,197,
454,913,322,889,182,439,187,486,835,854,552,287,001,453,764,284,617,568,895,
792,493,804,416,450,682,029,519,881,617,009,350,091,211,404,613,363,212,375,
222,181,245,445,890,675,663,845,817,404,948,588,213,303,211,200,499,993,512,
633,803,679,091,084,907,145,909,851,426,257,203,194,205,412,192,653,648,816,
127,564,970,191,994,284,165,554,846,104,181,258,777,430,341,442,907,845,850,
290,894,469,370,709,749,303,515,699,404,506,277,827,956,150,043,468,092,718,
327,665,261,752,981,995,562,550,343,123,150,341,024,582,080,744,689,718,016,
152,300,298,401,047,686,034,709,217,611,045,989,528,071,527,331,948,027,440,
262,786,148,336,401,160,523,828,356,276,700,835,812,300,270,595,869,706,601,
512,010,452,803,500,001,330,727,457,003,132,423,734,256,687,675,981,586,255,
398,937,074,743,197,147,692,653,893,873,710,630,687,783,850,272,127,861,216,
836,400,940,458,412,543,308,080,450,916,502,510,130,643,059,419,327,077,369,
785,257,987,160,976,212,487,429,035,872,595,626,222,104,061,690,856,241,564,
902,210,273,641,595,015,492,398,399,865,173,670,293,977,835,789,957,586,549,
095,043,130,902,742,166,791,872,001,589,746,297,548,617,388,052,063,109,242,
102,766,022,529,090,101,422,710,742,322,917,050,878,998,281,026,575,572,372,
812,494,872,203,151,789,002,010,967,295,547,871,428,425,094,503,597,125,304,
061,722,461,356,814,150,295,887,802,521,383,641,211,891,738,977,669,416,753,
601,044,872,026,062,900,580,300,596,087,142,339,204,001,660,102,288,521,740,
614,851,027,527,117,128,931,035,796,628,334,745,337,788,837,750,424,775,534,
637,581,189,913,055,681,964,542,775,472,003,586,984,215,613,198,291,746,879,
393,975,739,610,391,963,856,331,454,844,074,503,928,994,046,740,804,240,240,
212,716,883,569,376,531,201,645,140,674,607,778,387,605,245,966,834,259,148,
790,914,579,114,479,448,444,926,472,491,942,027,908,914,636,535,512,392,926,
370,962,364,138,667,557,439,765,630,082,485,667,776,294,531,731,253,822,587,
522,981,483,865,020,668,883,969,365,481,013,390,961,089,824,566,848,988,880,
728,604,942,993,675,894,907,634,408,932,168,085,488,301,428,706,417,418,259,
505,801,766,821,313,636,108,959,009,765,920,326,343,416,400,775,538,125,091,
554,614,535,276,459,294,550,712,619,175,830,651,833,237,872,234,803,430,852,
541,199,068,729,710,269,013,053,600,172,619,241,217,469,336,828,655,638,672,
907,669,794,242,876,664,817,727,640,815,015,707,686,225,048,415,164,773,493,
444,749,422,693,856,042,806,535,929,991,210,788,328,461,666,987,196,568,618,
709,602,627,150,745,850,213,498,568,501,156,048,961,592,727,045,483,195,354,
209,171,767,930,628,796,386,102,492,386,550,990,023,936,784,538,487,641,213,
238,327,413,725,911,019,015,258,483,747,767,491,156,680,853,528,943,446,026,
824,261,355,446,469,242,157,148,955,427,538,489,046,773,023,011,213,767,874,
227,613,399,092,504,031,625,379,511,528,351,363,731,085,569,153,133,592,063,
144,862,782,972,241,710,059,568,051,466,053,072,365,140,966,766,760,942,756,
383,069,161,045,084,080,249,019,329,911,237,533,070,018,972,949,772,896,567,
854,577,059,783,377,201,835,503,221,168,357,483,381,924,644,875,251,768,239,
592,999,313,135,539,311,972,098,943,479,959,732,456,441,758,698,472,783,185,
519,353,940,466,301,500,897,803,983,218,903,750,155,994,407,775,085,738,615,
199,473,737,819,015,638,733,813,815,782,693,201,555,053,019,671,371,477,075,
233,450,471,121,663,358,079,286,808,182,403,557,703,255,658,458,607,804,417,
623,306,255,863,461,371,795,806,433,264,480,149,820,007,447,844,545,680,207,
435,824,499,706,207,548,324,054,865,171,509,761,090,871,007,903,341,788,862,
016,621,933,737,422,342,712,964,095,556,259,195,155,585,757,089,224,023,530,
921,617,146,767,023,226,405,597,391,389,091,829,793,099,176,508,942,207,578,
518,458,379,930,622,252,408,457,473,318,789,177,759,333,113,554,584,856,761,
090,419,298,819,423,498,273,784,489,961,640,535,788,663,680,270,301,922,724,
078,351,243,870,434,018,440,170,048,659,855,900,837,334,482,016,234,482,975,
034,123,630,628,442,479,493,928,025,459,604,326,902,658,369,947,126,064,105,
228,219,404,187,386,537,950,857,920,299,501,135,156,236,501,960,042,092,092,
379,740,182,186,281,023,051,227,224,473,229,068,544,474,609,102,917,343,324,
712,141,182,665,817,777,601,883,690,096,346,755,067,154,834,109,116,132,387,
215,459,310,214,754,162,463,718,638,997,277,204,780,333,198,992,644,569,933,
779,120,332,661,555,443,645,359,066,984,060,941,972,986,076,773,094,368,733,
551,510,543,529,711,953,382,898,533,836,014,589,958,534,034,289,522,382,969,
858,245,160,274,123,458,736,007,610,047,441,001,862,586,752,883,529,748,457,
324,107,974,632,648,265,378,477,397,874,598,249,467,986,161,837,108,917,144,
944,542,355,946,690,764,272,454,235,843,805,190,418,741,249,704,611,256,957,
239,731,316,489,484,065,503,847,007,994,241,867,607,074,648,987,776,267,718,
339,701,662,825,003,991,241,654,356,777,016,372,465,300,267,923,008,392,586,
402,751,724,819,525,974,834,985,603,321,505,464,326,946,339,864,856,469,241,
628,300,451,302,387,725,717,385,662,761,806,800,608,364,130,134,338,737,696,
095,548,056,570,745,696,769,651,154,359,834,083,669,939,984,478,327,824,372,
732,961,501,465,269,146,483,702,601,882,945,835,664,460,442,415,160,294,178,
916,183,466,292,935,342,036,196,190,493,602,515,270,758,593,144,590,743,265,
500,754,800,217,516,711,112,058,822,016,808,869,996,252,799,662,409,915,510,
739,921,861,350,762,708,511,755,720,643,668,803,342,970,406,168,369,764,429,
367,391,411,396,331,129,681,861,487,872,893,402,637,770,577,937,305,085,087,
342,647,507,935,415,274,169,253,729,667,974,155,197,984,854,863,375,136,430,
320,745,851,895,204,093,225,918,620,910,537,098,684,310,535,767,072,694,410,
303,934,523,868,961,673,303,734,492,086,465,856,318,384,101,078,436,733,352,
963,355,818,830,557,127,509,054,186,023,849,922,002,460,685,220,124,520,917,
576,072,646,937,178,172,356,018,422,848,025,826,642,781,304,735,567,891,171,
138,384,532,144,281,057,189,789,689,501,778,653,082,987,294,151,942,875,618,
820,115,485,652,446,284,786,449,166,543,920,846,673,662,928,631,544,628,888,
467,367,039,144,035,739,115,386,042,370,746,433,421,624,740,721,761,185,185,
523,967,161,712,480,369,125,011,203,884,005,560,094,602,732,787,154,631,543,
314,945,091,528,029,480,502,964,844,754,762,103,560,512,166,447,812,822,651,
103,424,215,281,787,081,537,410,802,205,172,345,304,552,747,041,757,876,733,
517,669,811,356,810,511,170,125,295,406,789,233,680,369,414,830,125,288,038,
291,590,654,334,470,976,222,732,845,391,930,492,952,150,276,166,165,480,707,
688,706,704,127,305,682,846,812,657,229,740,719,120,957,595,657,871,665,390,
472,711,672,926,402,294,996,302,132,791,880,708,301,701,548,921,907,646,683,
528,214,544,885,845,218,492,544,417,270,915,517,236,468,723,840,235,534,874,
235,180,012,009,475,684,641,402,911,820,427,213,424,923,394,338,025,171,057,
340,587,532,908,954,126,389,443,968,096,858,812,788,076,742,304,198,068,810,
175,113,389,739,054,000,474,735,417,340,299,356,401,099,454,807,957,817,568,
975,502,768,206,510,359,636,340,520,073,352,500,329,459,591,076,449,716,669,
884,054,859,451,380,054,166,488,810,318,301,690,611,369,263,391,394,361,129,
645,463,466,880,358,492,086,209,216,224,053,149,916,019,229,490,613,510,942,
517,697,078,336,773,108,469,967,713,272,905,988,710,549,146,251,987,497,012,
476,308,424,056,595,881,323,339,837,776,241,872,343,458,043,960,462,667,703,
613,065,898,473,801,210,063,079,180,436,471,176,631,109,620,432,184,980,567,
448,810,736,058,086,862,921,357,382,460,311,234,414,483,786,498,815,805,563,
156,617,030,036,048,404,319,869,594,895,028,470,142,333,344,701,692,048,238,
285,487,280,917,819,843,923,826,151,640,359,336,344,563,799,259,291,588,130,
258,614,785,535,565,912,442,108,766,857,063,860,681,237,644,418,842,102,973,
235,605,546,876,268,539,574,025,966,230,027,659,696,468,990,846,294,751,205,
273,501,817,824,656,539,317,900,365,131,841,189,682,977,501,026,040,052,888,
430,454,990,614,635,248,274,616,988,457,165,666,970,502,529,688,602,992,615,
904,555,145,638,977,154,463,021,176,769,047,969,696,758,749,016,418,284,278,
566,698,814,365,092,677,378,501,185,177,207,293,100,314,557,531,618,256,493,
090,037,298,286,134,079,469,109,858,417,622,366,024,287,421,682,291,507,616,
698,380,616,740,292,585,129,055,576,856,326,946,374,694,977,830,243,491,238,
876,459,861,715,093,334,842,282,454,028,107,637,639,709,829,874,364,100,772,
666,569,562,506,469,487,020,145,665,325,256,685,842,836,515,234,368,492,010,
030,844,864,103,391,348,852,946,169,035,955,456,178,969,301,511,344,075,486,
126,776,838,451,281,427,670,505,117,118,942,559,156,220,749,345,155,831,378,
970,916,924,790,357,623,619,721,173,481,961,691,964,416,311,316,598,081,718,
188,614,391,402,901,332,155,854,377,791,937,118,302,261,270,897,151,527,107,
058,077,666,762,425,949,909,217,926,452,896,204,478,741,667,404,157,143,022,
125,550,364,220,542,486,716,385,865,120,842,175,375,567,731,631,282,970,953,
705,564,684,491,991,424,499,588,121,251,870,423,969,229,999,310,425,875,642,
444,399,130,186,408,783,218,876,807,775,482,987,351,606,071,770,709,490,109,
416,347,186,617,222,251,019,315,058,207,187,786,060,769,448,227,893,602,688,
856,867,976,845,026,860,255,567,685,698,264,515,632,260,137,298,490,276,124,
350,941,376,289,832,017,719,564,000,508,275,584,687,179,253,576,762,220,869,
210,662,002,826,986,786,255,117,902,973,180,648,773,533,967,655,997,642,237,
843,741,336,481,997,043,485,761,028,597,787,648,415,741,621,336,145,381,820,
844,110,888,586,430,902,505,617,360,045,568,133,337,410,214,901,040,821,443,
845,934,888,589,736,117,665,587,811,269,490,398,164,758,134,348,530,142,213,
365,380,066,058,500,695,667,550,127,677,779,980,737,854,701,816,169,117,417,
448,182,646,261,782,513,168,948,790,159,744,557,526,668,576,973,941,444,513,
696,454,625,122,425,047,789,298,252,257,174,275,401,775,138,898,532,713,713,
791,381,051,844,379,376,618,211,709,249,341,135,076,296,713,405,992,584,020,
525,697,264,793,707,180,626,860,894,453,945,176,989,522,520,037,947,236,156,
009,224,520,057,050,214,860,930,837,806,460,867,199,137,050,579,668,705,203,
113,262,991,010,012,753,958,570,600,114,851,708,029,718,164,157,637,026,126,
409,195,035,192,275,211,655,109,809,739,016,343,331,103,289,543,250,245,659,
145,569,858,210,228,512,551,701,670,965,720,927,752,452,190,486,562,367,130,
864,648,489,186,568,997,084,081,791,826,164,935,626,856,055,250,837,708,919,
188,037,418,421,859,069,725,911,920,255,610,482,867,712,342,255,884,165,337,
837,220,633,094,159,247,703,382,731,122,731,851,664,620,789,271,915,093,335,
257,172,139,886,143,828,521,816,646,444,982,095,221,005,355,129,788,947,732,
527,191,916,218,149,523,472,037,824,965,010,342,764,492,444,535,205,187,285,
891,585,033,569,769,799,227,271,380,329,866,065,026,556,089,004,099,744,731,
488,955,688,211,408,190,224,767,760,777,310,895,773,254,031,539,319,214,870,
471,909,072,394,717,814,340,567,199,148,635,626,239,997,864,321,433,847,736,
728,262,977,764,276,514,216,431,522,234,533,237,598,150,881,816,778,472,299,
034,842,082,225,479,344,038,874,997,479,088,937,462,232,122,920,849,019,848,
075,309,335,985,488,533,843,410,835,881,300,849,464,550,486,761,354,984,648,
799,065,873,194,025,869,363,296,016,309,140,611,119,521,837,021,423,177,679,
870,637,266,666,799,642,297,947,588,672,859,188,278,516,105,337,546,951,393,
174,504,816,624,251,751,959,437,996,204,652,782,658,993,139,206,306,936,539,
789,545,553,181,126,881,043,844,843,258,522,179,066,602,017,249,493,365,760,
422,640,937,110,855,769,212,507,650,372,238,871,095,961,618,095,546,211,721,
537,443,528,410,067,555,552,543,536,231,945,549,534,168,734,774,364,068,723,
144,567,131,861,456,501,609,582,069,146,970,172,389,683,177,677,674,182,277,
864,250,982,653,216,694,839,000,457,272,234,247,281,621,755,057,941,778,570,
845,603,601,562,093,133,374,204,612,211,085,436,705,639,376,840,018,845,498,
398,659,921,754,651,872,687,767,105,746,501,791,500,202,154,069,784,168,172,
619,230,829,683,937,649,436,691,154,260,857,542,051,721,280,226,070,804,326,
999,849,985,548,698,225,484,448,696,077,216,970,265,405,547,576,769,449,144,
524,400,847,342,770,388,584,741,090,769,870,221,396,860,625,749,209,242,746,
347,780,476,646,859,796,123,989,446,951,109,505,049,637,648,170,901,905,984,
516,117,866,709,265,538,315,021,740,316,942,868,204,584,684,169,567,829,223,
681,857,410,368,489,956,209,255,119,443,865,413,415,855,596,649,512,253,121,
120,339,041,564,585,618,228,983,400,457,525,976,956,744,341,080,694,384,499,
805,299,752,411,271,718,191,546,961,448,068,170,385,596,429,293,590,237,192,
030,010,585,602,814,512,007,557,431,990,718,061,735,616,104,911,024,143,593,
121,367,135,133,957,393,937,924,542,520,358,850,471,556,982,429,158,218,935,
568,977,267,290,813,650,182,876,523,065,980,196,330,552,664,712,842,310,827,
368,091,246,335,516,334,824,799,591,913,486,101,861,067,766,579,359,822,550,
297,546,857,015,958,352,312,888,149,696,573,749,561,231,247,831,473,932,319,
240,398,815,721,867,345,438,944,696,332,123,558,342,451,639,264,640,930,433,
713,877,387,914,032,795,355,889,269,708,125,041,063,132,821,350,329,168,621,
743,594,974,320,442,101,744,010,500,214,135,537,148,286,134,353,687,709,830,
837,765,430,194,373,465,558,617,398,824,574,885,697,806,106,724,518,892,289,
018,710,524,925,295,375,321,508,154,775,165,901,665,229,049,535,634,797,737,
338,239,729,263,998,071,553,705,852,416,303,261,028,551,405,579,598,722,037,
682,345,692,119,670,110,847,960,583,165,168,353,563,623,834,325,684,090,295,
708,821,089,454,097,678,706,916,937,520,715,852,504,500,040,182,411,589,972,
522,126,553,802,091,411,575,897,590,995,670,430,172,126,669,131,402,279,887,
401,847,769,833,530,519,042,989,803,959,468,679,199,666,430,611,029,477,607,
219,183,329,690,193,507,629,250,687,763,388,469,528,036,883,660,666,279,858,
705,677,300,094,123,693,973,819,626,742,182,373,162,805,208,623,711,625,343,
797,362,825,936,128,662,626,645,181,413,932,375,437,439,676,747,362,381,606,
610,163,948,643,436,840,801,416,145,407,521,669,257,955,445,037,068,292,238,
871,253,597,738,785,180,035,100,016,932,287,368,669,496,843,079,347,055,930,
272,888,007,572,431,097,268,044,386,005,500,344,856,632,798,715,212,260,390,
612,621,635,426,491,139,330,670,271,475,419,464,152,865,624,101,105,672,376,
848,465,351,215,334,861,806,845,679,373,241,001,763,173,426,440,684,941,788,
215,101,606,458,786,897,636,041,756,905,187,627,978,055,759,464,359,460,951,
983,540,417,849,245,766,256,706,967,026,148,502,772,580,051,253,210,125,490,
088,173,495,954,101,292,398,692,506,089,687,783,366,087,942,137,695,176,598,
740,386,525,594,934,884,726,617,388,724,316,391,959,276,958,978,340,362,191,
004,584,012,126,846,515,282,222,779,451,525,361,627,122,190,619,048,221,060,
665,233,534,909,301,487,291,054,185,702,644,065,763,344,135,712,827,082,932,
807,728,153,678,186,343,259,693,751,229,836,463,358,894,222,206,310,535,727,
500,446,820,946,867,382,587,753,705,797,753,295,507,489,372,796,154,832,293,
478,662,408,812,758,132,060,304,829,471,096,292,263,679,635,737,757,441,912,
787,276,763,186,560,736,328,297,782,085,556,537,400,061,894,046,623,018,439,
079,699,799,914,830,931,669,049,197,074,039,352,419,615,596,315,366,262,222,
584,393,421,509,010,097,744,616,166,825,008,526,009,912,099,705,363,062,256,
022,862,016,174,666,657,443,038,835,131,273,535,906,125,124,457,337,769,006,
789,678,684,184,834,338,793,235,258,172,279,751,286,758,226,161,075,470,641,
009,328,147,130,530,208,785,626,692,391,541,305,508,914,283,744,853,746,249,
725,341,437,152,520,176,727,934,168,074,073,019,133,682,653,444,161,700,967,
536,937,355,040,021,142,709,423,465,578,542,991,043,841,725,879,868,460,610,
622,873,945,893,210,153,653,487,570,126,523,582,745,690,227,999,435,582,883,
620,528,165,731,036,702,492,490,553,403,228,425,865,385,783,157,611,630,205,
156,864,156,853,619,853,287,682,324,043,811,069,432,083,754,417,136,460,921,
440,934,265,905,919,948,735,960,090,103,331,797,866,198,734,197,199,430,041,
185,285,769,502,562,322,945,389,981,415,873,348,402,787,470,854,932,343,579,
335,652,683,287,582,036,959,237,510,495,257,234,933,154,431,037,639,840,763,
036,932,728,086,110,321,257,620,273,339,585,228,829,984,070,759,041,692,247,
219,541,885,939,355,619,739,856,683,100,547,913,181,056,794,222,631,835,980,
078,785,376,214,448,803,682,530,445,686,362,276,348,568,699,473,340,188,182,
279,640,641,739,248,067,076,529,018,852,917,385,945,948,983,550,964,458,265,
999,881,822,037,711,504,279,846,573,110,301,602,643,105,618,874,096,109,418,
061,030,237,865,109,750,703,553,409,953,030,216,115,019,794,801,495,286,059,
184,797,760,250,389,266,791,420,175,939,044,130,641,023,166,664,311,324,831,
107,140,202,567,893,761,506,963,417,435,048,255,233,112,141,766,988,305,105,
731,816,737,663,868,697,769,211,106,360,406,428,755,507,370,223,238,196,258,
548,772,725,028,953,418,014,712,138,667,658,370,233,493,513,372,993,948,601,
349,293,272,750,826,930,628,622,248,465,876,213,859,362,209,466,571,419,050,
975,316,719,708,146,071,901,142,734,163,752,350,031,084,815,360,604,571,293,
869,794,397,564,389,108,452,351,832,015,027,061,393,953,216,212,451,351,138,
232,963,940,631,062,942,108,725,526,775,711,839,246,239,993,333,783,309,907,
590,346,499,718,019,687,175,818,506,149,185,758,916,966,387,626,375,848,918,
421,259,273,506,160,593,694,296,530,227,587,014,129,202,807,218,693,682,013,
282,472,298,818,727,520,995,389,084,990,996,187,571,124,347,920,524,865,689,
284,613,071,479,080,715,658,521,608,431,202,765,154,338,431,815,656,967,683,
044,245,825,914,435,528,009,753,170,621,160,706,538,584,940,617,339,916,945,
998,627,328,279,656,054,230,882,374,957,624,129,365,064,460,547,614,184,943,
758,356,272,843,208,225,930,011,596,546,129,357,976,582,900,421,005,383,178,
099,322,187,220,083,109,054,976,240,301,831,802,369,100,565,645,757,246,637,
644,014,922,690,394,567,658,687,183,848,233,186,542,043,099,131,654,701,193,
120,855,759,461,872,112,925,938,539,191,054,249,778,784,659,525,071,752,134,
692,333,763,850,853,079,998,485,248,024,493,658,302,963,325,757,783,636,929,
066,017,882,567,141,306,264,582,980,012,965,638,625,713,775,117,237,114,431,
188,104,751,252,402,120,805,743,291,411,007,454,585,768,297,209,313,593,046,
673,987,481,123,555,110,211,495,971,732,114,117,313,203,701,251,835,504,873,
162,285,415,750,779,498,048,605,559,341,305,110,492,929,129,863,943,956,576,
979,634,763,602,151,688,792,121,858,746,373,394,486,755,155,171,452,756,865,
119,701,203,815,513,854,069,006,960,772,633,715,811,347,037,803,875,542,468,
407,876,759,763,168,729,206,962,057,776,178,653,919,218,107,646,502,300,073,
660,530,504,071,451,976,660,638,205,734,730,459,124,725,799,764,898,054,176,
495,887,127,527,052,356,852,310,232,112,753,206,986,212,668,328,375,634,644,
890,430,870,562,006,524,310,525,853,243,745,328,793,895,463,806,960,970,873,
110,868,354,421,511,225,884,977,004,013,914,613,434,138,855,431,970,082,833,
737,291,065,074,218,097,845,458,303,808,450,442,532,897,474,273,598,193,243,
022,334,564,536,184,721,865,321,878,399,183,919,238,696,946,542,782,261,074,
000,957,566,522,018,189,569,587,708,183,351,576,338,752,635,935,758,574,334,
620,809,865,536,558,847,513,269,913,177,673,496,012,834,814,339,822,963,098,
696,150,824,339,100,349,126,936,209,928,766,907,749,192,590,976,212,799,239,
324,819,171,747,283,608,470,505,560,257,671,696,238,770,061,008,342,075,359,
695,282,900,538,746,292,932,956,232,902,896,056,083,589,232,913,387,803,997,
895,961,543,747,107,536,193,861,287,409,666,596,299,454,113,830,869,280,187,
392,919,414,287,041,386,356,512,334,377,606,001,100,715,824,915,837,913,728,
327,081,903,689,094,449,241,716,267,829,605,635,963,222,805,030,550,247,016,
445,204,282,988,275,026,057,643,457,861,811,163,210,317,204,042,997,545,893,
366,476,400,275,993,257,542,850,794,903,038,440,822,100,025,720,509,822,281,
444,237,507,639,804,668,369,787,882,594,393,703,556,756,768,192,181,892,370,
561,833,452,504,002,767,042,854,804,650,773,887,457,617,262,303,449,539,486,
919,492,818,478,475,189,225,927,503,346,818,607,466,451,263,080,919,271,184,
561,432,670,109,736,514,451,289,051,771,218,535,159,674,872,462,710,150,637,
698,525,746,922,169,430,126,595,852,682,857,930,543,137,090,405,228,616,110,
369,500,776,260,277,556,716,916,855,176,240,391,655,267,671,089,658,511,101,
561,355,266,515,145,240,020,239,635,462,054,081,412,002,005,131,211,146,286,
187,122,576,842,145,749,142,591,670,766,261,741,971,493,384,733,587,058,605,
938,236,305,838,855,520,263,078,695,594,749,667,343,372,797,335,468,721,234,
325,358,618,585,718,231,636,218,195,252,923,855,978,250,295,086,591,811,473,
081,005,934,870,108,007,735,543,761,782,036,075,992,708,670,292,345,824,692,
285,418,386,375,847,835,862,132,114,933,098,833,506,091,462,993,777,363,952,
292,134,219,561,451,592,110,971,949,830,403,935,697,010,121,020,791,628,184,
196,051,548,207,705,244,216,705,081,187,515,704,221,029,005,964,372,394,169,
209,984,148,095,325,051,972,101,542,030,208,553,101,378,976,185,429,533,848,
050,670,055,753,854,851,026,937,682,632,308,763,275,253,643,205,254,115,708,
073,636,439,995,558,876,298,103,368,789,738,706,962,108,772,290,075,858,311,
350,628,239,325,250,769,159,942,499,560,171,181,221,437,131,281,272,230,630,
128,651,718,294,717,086,660,242,810,711,000,841,702,912,895,027,501,095,929,
031,211,395,230,439,384,149,942,200,960,487,045,956,893,157,723,142,460,385,
621,179,206,923,558,526,661,799,026,060,081,788,837,980,057,916,370,322,247,
553,516,763,887,534,902,065,730,345,874,443,153,701,225,618,100,073,762,705,
222,764,529,647,968,318,625,773,992,392,481,575,386,919,013,013,893,370,274,
067,315,825,981,792,916,284,968,709,726,740,182,446,234,678,821,132,957,316,
011,809,086,631,437,492,034,553,717,191,040,713,274,772,724,175,580,324,417,
683,095,549,021,628,064,375,352,629,510,488,960,369,067,907,886,674,013,717,
874,376,350,762,064,414,585,697,536,804,578,104,418,501,699,892,404,987,027,
046,981,285,768,715,524,741,822,660,878,164,799,413,997,765,449,544,569,555,
133,708,806,870,262,054,836,288,384,810,918,126,430,039,714,214,116,144,225,
437,753,785,394,753,137,772,026,092,746,366,797,315,917,851,747,203,443,602,
009,420,233,631,400,368,376,095,876,644,747,173,554,320,613,021,278,486,983,
143,395,374,746,894,540,928,732,870,619,082,562,701,635,053,888,012,387,261,
007,041,042,163,195,655,695,090,453,556,753,908,194,546,709,615,019,124,613,
903,232,347,391,431,208,256,593,570,671,149,108,012,180,589,461,726,470,244,
186,732,567,503,856,354,279,728,232,004,336,865,270,935,923,999,563,808,239,
014,705,873,321,888,435,812,303,381,113,040,866,291,641,493,857,709,771,054,
674,256,124,251,772,456,954,904,303,728,320,891,545,747,741,609,907,638,089,
570,020,524,557,697,789,376,759,420,540,002,917,611,617,404,013,658,915,430,
842,120,798,384,618,046,389,443,197,137,540,971,803,918,686,210,636,040,608,
244,342,162,584,543,868,399,700,887,533,469,939,258,265,116,704,264,504,330,
628,027,950,505,741,350,459,851,701,957,112,671,413,278,958,230,640,057,665,
827,867,294,554,674,952,983,447,912,666,299,289,290,263,481,171,115,592,070,
427,834,942,785,405,659,738,986,619,864,071,960,941,886,547,758,039,529,434,
216,564,668,343,052,712,052,478,856,779,275,245,946,184,241,116,789,084,520,
405,246,690,754,285,371,693,456,642,287,693,949,307,750,755,217,201,915,937,
295,706,489,373,237,698,691,149,294,683,308,923,103,345,928,036,470,545,606,
617,935,280,787,833,964,571,771,257,321,955,705,907,671,741,948,716,460,753,
868,422,867,815,552,951,924,617,714,670,475,283,123,296,284,968,632,550,228,
009,026,965,296,312,144,710,302,305,864,848,319,674,979,992,507,371,987,814,
765,843,542,112,845,065,330,485,236,020,915,651,968,235,595,263,709,785,492,
906,531,474,654,752,945,677,909,525,536,148,959,187,690,701,126,357,432,617,
547,383,842,871,057,391,800,834,213,913,548,545,655,547,285,194,647,383,651,
214,853,490,628,892,157,398,441,547,759,974,260,933,210,711,507,812,793,818,
960,990,544,396,362,665,139,060,209,404,511,919,438,294,243,529,787,353,459,
321,804,291,650,082,423,605,665,175,360,898,589,791,638,988,001,172,349,899,
848,583,592,070,326,016,541,316,039,982,369,765,451,767,753,416,229,562,917,
718,277,330,677,950,463,818,489,212,598,443,183,538,995,170,756,418,488,123,
718,703,239,728,836,105,726,040,989,774,464,202,663,512,709,933,697,278,903,
219,203,210,339,504,067,007,383,636,719,492,809,360,404,263,716,667,680,376,
836,653,617,250,938,092,114,424,710,253,815,767,781,389,589,583,499,845,939,
410,326,565,642,215,908,632,986,053,031,886,073,864,721,780,761,165,723,502,
309,559,570,098,147,483,394,164,090,414,504,516,836,179,274,780,159,025,875,
646,850,922,043,031,814,779,655,395,773,670,447,731,200,761,878,128,938,892,
065,361,046,331,558,536,938,515,244,393,754,129,329,478,074,514,352,252,894,
806,460,959,955,396,569,552,664,987,864,411,383,980,019,642,031,221,004,761,
563,926,774,312,343,563,933,393,867,146,096,087,106,014,796,625,313,234,482,
871,781,245,942,419,125,371,750,829,875,443,816,393,459,761,603,455,941,592,
321,513,105,695,114,006,418,303,564,594,575,166,957,839,110,137,139,078,305,
433,288,685,576,021,590,441,975,189,843,716,397,431,795,374,719,039,144,957,
790,471,932,836,837,012,901,812,075,543,329,511,739,886,336,648,815,277,159,
007,143,702,564,642,732,176,805,524,071,190,258,077,856,698,700,890,426,143,
787,191,668,720,932,140,155,771,467,409,592,228,147,917,210,122,788,073,128,
590,308,009,161,800,648,828,270,648,074,547,586,205,718,294,195,170,955,459,
840,134,269,206,834,964,807,235,095,801,841,776,046,713,606,917,924,663,630,
712,772,279,350,581,358,272,011,022,753,157,577,832,232,731,979,337,299,943,
016,529,720,790,899,954,530,430,718,513,114,121,180,648,815,873,910,400,901,
420,456,782,789,319,033,463,171,313,076,213,529,852,046,561,142,150,937,298,
210,425,133,485,505,864,888,144,250,206,256,056,316,619,029,428,548,951,778,
344,336,518,379,606,404,559,690,951,702,724,225,300,807,753,650,230,797,931,
129,059,657,150,072,733,680,942,472,214,591,710,270,414,533,190,547,441,253,
685,366,802,104,576,093,215,731,348,360,980,404,407,089,143,902,089,419,586,
914,166,660,375,065,720,692,266,317,400,606,874,057,817,183,761,685,605,566,
215,699,615,587,410,486,731,020,491,944,496,718,402,632,555,289,646,339,090,
227,886,603,409,542,900,879,404,618,533,703,874,179,789,060,870,338,240,597,
174,061,390,152,122,661,833,981,541,895,904,231,276,628,889,625,033,329,734,
795,816,608,878,066,251,998,731,681,032,771,511,173,424,463,726,198,935,035,
074,012,660,031,218,686,157,642,895,064,305,278,307,405,411,305,473,010,666,
723,723,960,475,689,081,478,278,461,538,330,818,301,130,687,770,789,225,530,
870,076,150,721,186,933,341,217,112,486,419,736,572,623,850,877,837,261,993,
418,678,137,824,981,124,661,396,866,271,270,781,336,496,842,291,082,436,516,
903,855,517,378,425,614,133,511,872,715,392,149,669,506,114,520,872,284,937,
085,002,300,245,209,210,240,700,961,958,621,637,753,733,583,958,901,121,187,
743,896,188,088,570,233,579,824,202,426,285,751,889,671,802,973,790,125,311,
320,899,775,945,754,725,597,810,295,294,410,695,359,475,471,306,989,108,886,
074,046,532,940,366,426,855,579,063,589,695,065,822,409,134,490,622,792,433,
210,351,149,689,465,486,169,097,813,617,587,143,582,468,483,222,905,759,072,
804,531,138,566,143,409,763,896,619,074,946,071,797,974,126,743,879,542,324,
314,117,250,136,874,102,597,079,412,530,057,735,549,365,352,306,456,683,026,
094,568,475,134,443,422,269,330,408,897,100,416,655,319,778,059,105,976,143,
050,819,685,961,394,521,848,180,562,346,507,681,020,878,592,514,736,697,763,
546,981,822,797,936,831,392,805,239,495,823,989,860,504,494,846,228,649,166,
490,440,445,389,902,063,241,603,632,762,099,091,114,472,561,084,367,537,823,
451,623,660,351,826,113,309,193,742,040,909,011,036,628,758,702,760,194,234,
769,513,638,113,449,453,673,734,261,024,448,678,971,669,767,010,011,127,471,
649,694,558,669,486,353,190,269,377,336,795,619,588,260,657,354,973,288,898,
421,382,647,639,414,528,783,632,508,107,109,029,509,827,279,025,933,612,235,
615,345,198,592,560,317,037,263,796,210,125,053,453,580,893,661,359,793,977,
119,280,263,980,030,392,999,013,117,011,619,504,895,333,770,950,651,000,756,
892,602,082,449,014,318,741,047,023,940,672,763,501,902,921,657,916,458,758,
897,376,016,561,007,264,919,051,834,145,383,901,047,083,609,386,427,520,357,
017,079,334,794,316,381,169,858,434,340,016,567,576,091,954,060,280,128,876,
571,841,688,657,734,999,606,794,731,610,183,603,506,268,349,170,823,311,029,
043,398,010,928,940,179,208,352,883,459,562,334,424,683,467,480,970,820,948,
141,852,075,321,421,109,251,594,850,881,022,058,254,136,746,256,215,184,084,
151,606,819,272,166,584,293,699,669,368,018,328,381,738,127,627,890,331,014,
563,260,245,420,742,347,968,776,250,404,782,427,675,665,172,831,692,167,289,
866,902,668,193,855,313,957,848,593,487,991,771,051,603,536,631,429,139,452,
445,693,611,546,102,448,239,041,497,952,410,767,810,325,774,182,658,484,968,
859,071,503,771,954,653,522,911,969,469,894,689,624,523,993,088,992,685,594,
721,613,976,917,976,300,225,755,848,392,006,944,424,903,280,737,352,368,375,
267,277,514,498,535,074,858,370,263,950,375,874,824,893,000,579,318,878,065,
146,598,041,461,174,276,010,544,272,658,064,613,090,489,611,839,083,712,780,
588,738,668,273,547,803,440,745,550,911,017,820,767,382,083,606,405,821,802,
413,700,136,328,565,861,212,739,998,811,144,476,488,826,445,586,304,533,209,
954,202,160,290,640,555,717,611,140,173,965,491,247,262,102,518,379,339,189,
724,832,480,824,434,479,597,754,011,767,260,635,928,422,982,043,898,455,861,
630,121,745,463,011,712,104,947,320,132,509,504,338,788,596,785,394,141,139,
665,423,244,945,580,880,923,628,414,346,601,638,414,212,488,705,543,569,077,
217,726,064,838,713,645,632,276,198,579,304,340,141,579,339,374,895,368,579,
970,491,196,024,848,581,699,013,000,498,241,934,100,635,390,551,857,594,279,
184,569,200,246,322,223,737,361,095,022,204,317,144,983,635,896,621,955,194,
040,509,214,392,703,102,796,014,997,849,775,939,993,167,277,206,643,580,183,
002,962,094,312,114,607,943,099,955,116,933,624,846,672,310,216,369,732,796,
153,412,723,406,751,190,679,990,843,359,230,376,983,365,311,665,475,964,308,
079,306,889,156,793,140,681,972,368,281,451,068,431,885,779,178,060,046,664,
540,862,166,974,805,691,364,228,663,302,361,253,428,181,268,449,215,329,607,
110,270,326,241,465,181,644,516,189,974,606,676,300,555,949,970,169,664,257,
618,788,745,523,937,923,658,488,831,558,022,649,235,727,416,387,710,591,240,
777,235,944,281,087,104,674,685,281,564,511,164,408,266,662,650,279,151,019,
490,917,506,279,382,674,713,240,766,004,400,109,080,016,382,931,182,767,217,
427,230,561,806,600,873,044,015,808,987,804,147,977,826,933,349,847,002,523,
024,860,282,122,807,468,473,723,628,054,444,960,188,026,864,821,461,393,467,
933,728,919,525,109,540,639,620,319,445,596,086,482,527,723,795,898,618,008,
254,607,798,410,783,328,459,070,058,185,951,707,740,731,117,450,746,259,245,
823,332,752,086,000,214,725,587,503,147,136,935,245,124,325,051,665,880,658,
330,770,351,897,397,238,776,902,219,846,757,807,332,789,214,219,005,591,701,
501,485,776,441,466,880,662,697,289,179,837,406,326,897,002,606,023,033,200,
903,978,788,133,836,325,289,502,367,407,215,083,776,433,188,575,237,334,818,
690,451,534,948,473,358,756,502,267,999,164,684,855,501,057,011,897,241,643,
565,046,909,285,099,234,427,695,254,616,529,149,016,159,772,939,577,746,012,
402,822,524,137,878,309,023,560,928,616,501,257,266,470,535,312,855,880,689,
434,738,199,482,797,894,533,294,112,158,419,407,317,873,994,121,194,771,649,
148,032,967,319,841,678,369,483,462,872,082,662,014,883,392,875,913,490,429,
132,848,808,681,915,879,152,413,534,194,315,743,858,028,621,988,642,736,367,
545,530,860,923,970,169,835,334,495,722,117,613,574,816,389,730,563,515,657,
379,560,484,901,301,348,727,519,954,992,317,401,349,606,569,390,631,295,525,
038,169,830,615,620,522,885,734,968,960,635,174,944,080,919,012,860,929,865,
471,424,855,490,070,868,778,052,556,376,750,478,924,312,802,548,198,114,812,
121,089,611,988,801,068,407,510,367,083,363,009,195,351,728,200,728,090,886,
146,453,974,364,164,718,370,240,912,559,634,960,727,470,309,228,861,353,570,
744,596,901,574,495,643,050,598,185,199,044,161,965,238,220,318,927,140,465,
671,018,435,779,154,848,648,409,316,184,179,565,763,836,109,566,234,461,623,
538,301,596,138,575,419,598,443,408,953,213,547,280,351,565,284,862,934,015,
729,414,783,584,328,324,903,378,938,851,744,080,251,419,085,021,915,598,430,
796,962,407,441,789,033,818,705,224,946,250,815,926,411,577,836,179,860,565,
815,156,605,033,199,475,100,059,919,838,787,046,247,715,446,992,260,578,818,
466,273,874,465,508,044,503,237,533,558,213,516,366,948,480,118,708,948,592,
085,005,845,331,997,909,104,810,483,934,306,175,118,825,865,207,037,534,290,
801,828,031,792,278,391,337,183,230,270,841,258,809,794,259,661,021,793,084,
752,836,023,317,233,329,949,846,306,690,348,641,231,925,190,619,903,114,825,
366,201,695,299,879,964,022,656,055,644,676,914,096,694,988,572,869,671,051,
918,046,501,238,829,510,294,935,589,676,440,938,601,830,095,471,757,247,524,
132,323,782,231,659,083,303,943,675,346,275,067,768,257,848,974,223,678,066,
695,197,749,710,582,564,304,437,612,735,385,811,739,744,935,072,397,558,516,
987,483,003,883,346,232,835,838,212,471,183,312,454,753,872,945,496,636,937,
420,783,009,531,747,515,598,418,280,822,706,399,934,633,277,196,875,374,973,
144,293,939,573,964,356,927,333,457,936,596,222,914,949,052,443,164,182,533,
491,174,633,192,578,424,302,659,661,864,844,837,051,126,227,620,126,687,153,
063,539,581,361,196,293,689,924,447,256,546,143,147,439,824,451,291,046,909,
218,885,776,105,458,968,892,034,729,336,131,802,944,805,567,879,891,885,524,
794,961,834,888,856,320,548,531,964,392,156,938,067,998,976,832,782,384,211,
552,657,513,515,628,681,703,603,052,833,632,918,141,835,674,503,539,773,342,
954,765,396,138,383,741,416,534,251,640,284,483,879,903,943,868,940,968,835,
883,552,747,788,109,102,461,180,833,419,999,229,219,527,241,677,625,300,994,
903,599,265,443,147,759,523,980,163,573,570,935,674,880,653,860,999,032,870,
023,744,958,516,281,307,217,487,733,960,248,692,477,980,028,547,063,627,179,
203,054,897,074,930,753,357,408,173,363,521,779,651,560,739,156,014,472,007,
486,785,914,114,430,917,044,443,769,865,799,211,824,906,267,544,988,468,303,
197,654,821,766,152,823,072,115,837,332,182,067,807,902,854,967,044,546,581,
307,793,977,036,641,178,023,010,279,432,525,091,103,408,578,930,146,280,150,
278,136,217,048,793,832,443,701,642,683,517,482,793,214,401,764,778,817,635,
756,374,205,869,122,024,122,411,228,138,551,938,822,973,364,157,071,915,679,
735,293,024,872,076,338,717,673,184,019,117,264,911,463,198,168,726,394,329,
341,656,740,299,197,056,230,955,182,441,293,310,176,158,252,721,587,611,260,
913,219,702,859,782,667,173,252,687,768,867,143,208,221,136,102,290,318,218,
580,576,240,860,446,330,277,242,374,600,605,579,906,792,594,063,748,909,713,
813,173,108,603,797,181,585,283,971,289,157,329,894,113,656,357,401,805,186,
222,429,083,398,188,224,332,720,479,536,880,078,645,541,448,018,760,841,483,
749,549,258,440,889,317,243,138,194,314,642,710,450,686,192,357,298,742,563,
563,179,071,372,302,810,306,225,498,481,713,656,043,874,829,897,185,569,880,
624,152,409,065,337,639,449,019,815,220,450,444,010,069,014,095,899,920,452,
880,319,881,712,228,588,071,271,274,192,952,383,858,604,112,207,762,862,699,
743,952,279,108,574,958,087,164,564,588,720,069,727,671,303,326,083,334,791,
724,669,465,346,028,725,404,936,955,437,534,529,407,489,524,389,534,772,353,
414,601,664,899,851,384,230,837,760,508,107,607,680,749,103,504,080,988,281,
410,134,136,550,311,875,568,050,396,317,683,111,743,852,102,547,305,730,526,
056,776,958,209,935,582,352,923,549,300,554,727,560,309,397,991,135,569,326,
677,747,977,205,646,582,006,760,520,848,888,412,411,557,692,498,319,380,775,
893,483,821,066,320,267,133,959,502,845,694,971,098,740,484,278,231,209,430,
888,459,847,299,893,368,105,229,782,954,066,730,691,351,133,398,092,916,528,
566,073,671,129,163,345,141,743,879,950,549,840,253,907,058,822,613,693,789,
992,345,840,399,426,369,853,827,445,050,406,794,175,607,936,166,253,500,690,
138,109,255,657,521,887,532,927,674,196,072,700,445,101,901,921,654,504,745,
602,917,337,067,841,885,636,014,104,763,070,802,501,284,288,589,947,086,152,
900,844,770,442,500,527,191,484,858,004,184,050,145,330,799,627,174,584,164,
249,738,071,544,549,385,196,580,552,364,648,258,522,606,527,499,743,335,672,
238,938,103,507,274,690,331,145,166,736,233,547,609,897,952,330,909,798,044,
962,294,334,824,205,334,252,060,876,515,670,317,381,304,825,199,221,534,039,
796,820,841,215,904,276,660,843,085,981,985,160,127,024,795,523,099,877,109,
278,021,406,278,832,347,104,163,981,477,181,757,075,618,766,477,363,334,986,
240,974,975,928,482,581,049,496,528,876,706,495,282,997,877,029,197,100,981,
002,660,816,318,713,664,034,717,148,169,329,153,726,840,796,535,530,385,370,
273,906,462,674,530,644,850,283,478,077,337,758,264,544,691,663,366,154,737,
197,017,907,884,948,037,718,110,247,514,604,493,750,422,299,383,310,825,474,
422,052,231,150,521,815,385,101,765,167,567,577,455,955,332,621,129,013,448,
203,697,924,178,976,639,700,014,797,837,610,266,489,341,499,001,524,209,159,
196,400,836,806,004,689,884,275,652,352,732,447,850,809,790,926,100,953,781,
462,256,167,808,250,180,903,841,552,056,127,328,641,419,777,787,717,910,695,
799,055,677,653,074,643,645,320,315,124,627,137,500,267,197,788,523,009,213,
539,518,136,133,249,337,456,212,773,271,018,976,271,973,373,824,594,448,147,
647,395,092,053,764,193,049,641,878,294,950,953,545,858,148,129,081,407,589,
943,207,840,126,307,829,140,152,705,568,613,619,173,843,103,055,466,055,206,
875,429,062,377,697,985,331,261,079,911,702,738,495,180,507,958,946,248,483,
043,131,850,031,877,373,898,317,147,607,829,830,940,502,708,680,465,613,340,
168,079,411,504,441,696,284,826,758,542,656,454,151,015,654,831,815,742,914,
502,451,447,688,722,129,148,219,508,444,412,497,760,729,302,478,945,717,565,
304,580,505,817,073,846,657,214,983,914,370,434,923,545,007,771,095,011,161,
886,813,137,725,512,377,033,272,931,164,827,539,000,720,320,061,486,538,692,
779,424,121,737,879,029,847,843,491,241,598,833,699,302,204,074,077,379,875,
212,959,113,200,933,644,439,509,552,242,678,081,908,947,112,424,318,103,112,
423,908,275,423,606,333,261,409,049,853,546,196,349,973,147,230,248,465,555,
347,244,239,725,075,638,011,916,198,972,605,207,877,381,110,240,986,754,710,
635,041,941,756,640,272,082,736,938,764,115,377,544,616,788,134,731,898,328,
940,747,628,600,431,952,447,121,124,159,512,496,903,206,053,628,861,199,964,
514,010,164,128,501,202,109,461,429,464,795,398,664,766,638,345,047,918,395,
380,675,612,177,365,026,363,110,237,974,907,515,844,197,119,342,018,533,810,
038,109,515,773,873,687,480,596,741,933,190,188,907,692,501,803,561,143,425,
404,674,118,291,359,677,434,126,262,007,502,154,472,593,605,406,476,269,277,
463,006,977,443,293,863,606,416,908,335,596,207,782,407,886,027,545,652,859,
076,016,656,293,431,296,230,660,778,999,610,531,591,609,609,014,799,013,982,
574,407,001,052,732,397,786,056,251,256,154,943,890,046,821,588,910,945,504,
471,171,155,763,899,980,145,831,737,805,197,803,553,765,336,785,988,296,948,
052,423,547,855,883,927,749,559,473,756,940,431,433,117,290,481,715,287,507,
803,982,245,873,886,387,251,284,159,341,669,783,038,422,601,595,834,296,305,
356,891,161,251,687,856,678,516,107,022,456,749,292,714,588,172,438,261,939,
301,813,030,878,163,574,054,987,878,077,570,116,304,328,760,604,664,626,487,
699,880,300,925,392,568,004,701,952,146,814,032,493,248,364,571,483,824,065,
131,141,206,430,989,343,407,059,236,484,378,094,967,151,929,489,599,064,727,
554,080,392,782,951,395,290,264,966,404,056,521,234,277,777,130,033,394,632,
215,019,868,385,729,062,771,324,298,718,405,743,110,415,756,516,637,736,416,
045,476,438,213,596,162,208,722,638,999,361,478,164,634,798,025,297,654,928,
116,061,762,124,134,796,171,838,325,569,811,804,245,924,625,480,744,055,661,
942,567,022,319,914,025,195,460,919,418,773,428,675,939,846,010,412,420,660,
658,240,340,047,311,447,392,215,721,229,598,791,245,778,531,872,512,116,556,
906,326,806,696,239,434,747,441,917,927,649,847,633,347,327,871,525,586,117,
803,380,099,332,026,746,889,150,027,388,155,569,839,577,475,563,613,041,854,
224,088,881,072,291,471,656,896,985,489,694,832,032,616,370,050,741,278,779,
820,925,510,350,738,734,374,012,392,339,326,825,868,426,147,441,884,454,274,
351,583,908,980,239,290,138,096,675,508,550,080,183,495,778,908,844,041,779,
105,500,831,639,851,463,020,014,904,302,079,272,531,191,192,293,336,959,239,
356,249,089,093,585,597,671,140,203,656,379,058,680,193,367,918,768,082,068,
109,275,711,804,914,806,201,752,876,365,214,149,148,255,585,210,319,558,727,
242,877,984,753,168,509,507,103,249,574,878,884,028,029,195,964,913,187,977,
746,220,038,775,149,863,285,896,736,431,151,869,588,840,845,132,140,880,990,
016,366,014,756,918,585,208,763,201,589,219,270,554,052,343,870,213,395,102,
158,039,313,840,971,597,040,415,928,588,523,721,521,429,990,436,224,414,999,
707,993,936,732,177,762,529,195,766,488,159,852,337,248,652,392,019,182,970,
089,135,824,694,564,648,960,102,236,643,021,963,013,725,837,468,241,463,959,
012,087,231,028,687,184,894,708,833,758,939,483,752,780,315,099,988,600,913,
677,465,141,822,450,805,036,623,395,714,580,696,805,164,282,919,251,252,771,
998,837,796,580,082,727,059,080,572,003,143,444,204,509,978,997,701,148,619,
186,814,656,454,506,610,475,397,316,314,852,707,587,551,977,444,704,431,601,
294,219,685,960,809,214,068,031,463,464,134,466,197,082,900,714,120,191,800,
253,072,251,397,507,144,523,303,417,505,677,822,192,196,729,292,541,580,002,
410,137,286,761,764,698,395,062,295,196,833,317,677,715,846,574,780,452,612,
028,231,032,201,412,539,954,646,678,727,270,633,758,301,050,431,206,484,413,
230,489,822,823,106,993,754,512,090,129,580,850,112,535,966,674,306,312,896,
084,441,621,908,770,725,462,563,301,858,113,756,572,619,668,561,105,620,849,
375,732,060,413,999,463,560,172,371,571,988,620,891,848,534,121,907,245,052,
057,064,802,346,674,446,826,001,587,840,846,304,045,273,396,322,410,968,618,
722,841,692,553,455,547,446,300,847,644,525,015,496,955,851,000,774,822,257,
884,273,525,771,848,780,262,555,958,130,020,591,805,402,100,613,078,826,503,
318,907,074,332,972,896,848,698,917,867,635,789,839,725,883,923,083,743,059,
570,046,329,076,714,290,684,034,786,153,522,824,072,305,846,805,905,062,689,
242,738,431,033,279,416,877,353,830,769,532,408,604,586,895,293,469,837,128,
978,808,702,002,095,200,223,456,735,191,731,124,664,884,652,265,124,471,063,
863,078,196,480,792,455,102,810,675,541,227,823,072,927,563,793,667,492,285,
549,374,237,610,172,538,729,458,978,528,595,883,884,864,047,450,785,278,265,
184,817,955,182,819,071,119,239,555,085,648,832,804,856,923,224,414,052,379,
935,717,866,278,009,421,922,947,086,894,442,897,750,008,838,494,320,086,501,
188,699,662,625,408,242,159,382,528,538,574,117,715,406,465,167,554,639,908,
412,718,875,834,671,769,848,429,339,523,014,547,927,754,911,813,148,384,174,
539,913,031,805,301,038,476,258,736,260,257,240,294,176,013,236,468,778,383,
205,036,168,453,640,717,940,764,645,526,301,351,093,035,156,850,242,284,667,
041,205,595,674,595,572,829,770,690,326,193,541,622,268,994,717,432,691,615,
865,604,140,998,368,767,476,047,271,411,005,683,422,697,246,250,599,984,281,
601,226,159,086,535,814,531,756,086,216,275,967,711,122,644,659,203,325,665,
137,723,583,744,682,971,346,948,074,263,491,099,249,320,131,371,614,823,404,
619,278,888,172,830,106,719,290,760,297,209,325,504,930,354,423,524,595,661,
159,903,163,511,100,436,698,986,851,322,958,585,490,980,250,414,218,680,359,
956,999,319,672,072,291,868,172,001,672,085,941,480,990,929,703,283,637,207,
982,187,831,713,577,469,062,443,985,884,214,916,495,417,777,007,148,949,600,
351,100,867,304,782,916,965,313,604,825,521,670,367,142,905,158,791,525,615,
427,730,106,071,041,069,535,227,822,784,982,666,209,745,028,499,455,794,217,
023,883,456,891,271,315,682,786,542,671,363,609,447,616,489,077,763,746,685,
324,330,118,733,145,668,107,189,811,377,968,155,309,596,729,805,880,827,204,
068,640,766,781,024,524,162,717,964,605,721,421,271,937,198,986,915,261,919,
693,336,584,915,415,356,303,323,683,017,687,231,507,353,198,313,332,286,489,
679,176,482,646,373,041,086,225,047,358,948,979,828,358,627,374,725,633,465,
642,036,433,573,336,149,570,304,473,363,416,339,096,492,275,428,452,624,894,
827,543,501,883,753,786,161,789,124,909,421,056,087,950,387,023,752,502,700,
771,880,300,072,894,986,900,866,936,974,884,969,760,551,877,437,627,629,779,
946,050,582,804,507,994,931,371,380,195,416,593,094,254,255,394,415,845,016,
797,224,883,276,154,544,140,798,687,129,680,350,683,766,450,402,303,688,464,
791,420,732,560,621,762,994,146,315,213,159,800,810,865,351,748,235,007,353,
684,962,780,668,448,029,076,319,217,076,132,667,033,547,253,587,435,608,133,
916,389,851,607,908,637,161,585,133,536,341,956,461,565,042,202,113,893,434,
613,496,317,884,915,474,080,858,776,830,441,584,124,605,739,343,333,719,980,
803,785,352,533,625,255,403,797,107,477,478,585,082,486,419,205,912,808,684,
723,625,551,773,255,635,300,081,834,352,912,057,008,108,739,000,978,897,274,
995,561,942,519,343,857,217,294,574,480,281,213,650,175,574,644,697,340,742,
823,551,764,176,970,665,173,557,915,958,952,782,082,722,965,884,356,881,904,
007,650,084,162,974,785,539,080,397,405,759,528,576,917,980,902,870,565,777,
673,835,761,962,571,750,540,055,697,083,718,615,396,791,778,670,769,912,035,
688,108,515,302,117,090,419,358,640,239,211,484,717,361,763,558,667,027,342,
902,729,129,882,699,477,842,139,889,639,178,495,109,972,996,046,334,964,054,
398,223,825,040,193,892,566,298,331,696,204,883,748,016,928,924,768,703,363,
588,189,325,591,948,487,935,162,873,272,726,649,897,911,742,474,566,954,812,
578,079,709,110,422,523,787,452,693,558,063,274,845,179,402,251,751,557,542,
344,679,690,447,851,367,713,138,251,804,834,813,950,733,721,265,942,032,833,
843,202,737,708,580,408,370,802,151,279,303,257,949,216,762,473,151,288,796,
925,560,189,513,143,014,060,626,320,053,269,219,987,716,400,206,902,880,234,
069,818,934,699,785,874,695,533,785,464,727,891,914,013,618,953,442,001,098,
689,282,232,854,339,914,891,343,897,530,588,406,484,292,104,855,773,468,173,
429,964,701,305,750,564,011,642,337,055,122,619,469,361,313,197,031,310,290,
102,357,418,647,194,302,382,010,646,459,548,608,761,007,810,820,727,446,994,
459,504,241,098,704,437,442,136,691,202,711,169,536,196,848,027,243,980,198,
259,674,625,922,202,286,617,236,606,638,202,916,518,844,064,951,697,139,981,
699,417,430,372,963,221,834,775,993,858,799,957,879,321,759,478,693,710,993,
356,165,815,553,436,835,211,594,877,597,127,574,699,511,688,871,391,736,604,
969,964,774,459,856,242,314,547,866,894,159,673,000,661,955,095,041,695,536,
541,181,174,559,950,079,450,486,649,348,685,144,063,092,184,252,123,605,151,
037,703,923,962,106,463,171,439,691,146,419,558,851,250,385,304,231,320,019,
305,434,062,469,743,073,603,937,259,096,474,864,426,491,861,738,092,943,982,
822,414,997,929,210,897,493,324,461,061,310,645,775,495,992,939,643,673,867,
950,567,971,029,388,453,850,837,135,466,725,422,719,358,496,894,562,982,658,
277,119,965,913,959,005,115,907,851,100,038,085,935,698,545,397,990,161,216,
835,153,719,786,720,465,349,734,977,985,144,430,656,339,194,977,186,350,694,
189,547,738,446,394,514,742,189,819,413,604,767,855,725,440,125,796,415,572,
286,871,385,169,864,579,431,214,181,311,358,478,328,209,129,516,304,623,436,
207,592,260,855,609,208,014,372,673,423,662,565,872,773,660,346,310,612,089,
875,872,297,455,109,182,622,583,261,167,691,569,567,551,558,373,692,413,088,
464,218,997,452,164,269,715,200,314,745,996,833,773,491,702,976,045,783,366,
026,590,954,691,989,285,547,847,712,329,685,689,063,711,720,215,882,825,020,
617,641,214,787,594,330,144,592,580,859,913,110,292,725,131,963,048,248,406,
188,784,118,741,165,529,146,093,562,249,055,463,170,234,566,300,102,679,869,
094,225,877,591,201,303,730,055,004,284,690,442,819,282,233,181,753,612,940,
096,533,278,104,683,118,117,941,390,871,296,423,330,842,089,980,389,579,527,
957,292,598,054,408,837,257,302,940,068,294,574,788,030,046,951,035,292,353,
616,858,312,901,109,098,931,529,127,454,825,317,193,528,573,444,912,116,619,
172,286,661,265,854,908,992,766,361,669,426,962,244,855,269,847,439,069,802,
041,196,753,658,826,653,473,101,966,144,962,800,529,473,710,702,475,882,087,
596,405,587,925,996,431,040,510,633,988,641,474,569,197,408,069,128,050,464,
418,071,334,285,689,887,297,626,074,362,848,190,165,145,506,556,149,962,703,
586,620,787,669,369,048,307,300,819,541,872,427,879,364,345,254,843,787,913,
959,542,226,375,132,617,291,230,250,136,743,223,359,980,467,715,108,856,700,
454,612,658,811,159,570,340,814,924,713,652,528,634,760,435,232,397,246,610,
960,486,277,453,209,565,453,410,954,790,493,953,977,569,555,301,694,807,870,
695,499,093,623,025,755,381,392,973,570,290,327,126,596,867,812,609,868,382,
944,323,358,937,150,592,549,012,450,033,621,028,898,190,512,000,273,048,271,
714,264,254,173,820,139,809,015,116,669,175,873,406,889,497,756,847,466,628,
510,979,124,281,820,492,822,241,984,736,132,370,077,259,909,525,203,259,634,
269,771,625,746,649,625,472,407,716,423,660,649,157,837,780,000,843,081,670,
345,194,121,064,195,824,477,634,676,566,490,085,838,210,739,357,586,228,722,
347,043,619,940,946,259,355,813,329,522,388,669,648,104,749,594,826,399,767,
355,978,988,864,939,263,512,525,380,204,757,651,624,118,207,750,253,394,607,
106,725,427,397,457,322,275,700,669,568,212,718,244,735,610,561,195,039,939,
203,598,920,281,007,055,004,987,564,561,232,418,659,054,320,756,479,271,161,
515,714,950,025,115,911,173,539,857,701,748,998,015,293,619,871,229,208,885,
142,755,274,149,381,515,950,417,162,619,540,741,651,504,948,763,003,029,536,
813,939,694,107,105,489,219,796,755,692,651,518,753,768,114,518,585,991,940,
041,613,736,367,622,295,181,730,687,361,194,315,030,475,671,113,226,758,709,
248,507,477,712,887,186,950,948,105,016,611,567,568,229,053,350,808,314,678,
910,130,541,916,236,998,514,473,620,776,810,178,764,397,000,728,485,995,590,
754,733,540,507,266,386,484,711,024,399,340,188,983,322,325,334,676,034,189,
384,045,945,149,433,143,903,838,781,821,577,861,458,228,315,658,692,190,767,
846,821,349,937,556,423,890,976,546,881,776,075,385,972,474,683,729,079,733,
659,763,489,539,140,543,054,948,309,747,243,835,450,446,012,520,916,682,423,
779,911,964,797,410,222,076,091,494,200,632,619,654,423,717,908,223,269,411,
878,669,773,170,284,184,884,738,421,263,416,393,483,743,683,207,875,007,631,
590,573,585,784,754,165,052,316,240,319,951,683,612,904,451,850,040,248,119,
676,315,057,008,886,488,845,472,874,974,282,955,257,035,423,675,379,615,004,
842,602,785,761,767,428,617,035,538,920,017,950,122,914,013,759,237,194,665,
211,095,034,529,164,369,960,427,054,095,719,711,997,867,145,586,316,753,357,
713,397,313,420,367,799,849,682,741,153,514,360,344,509,376,505,907,259,213,
727,373,057,260,496,611,242,236,885,142,062,837,605,001,900,749,524,203,198,
925,406,840,376,024,495,717,173,690,900,818,944,350,315,014,343,464,409,514,
300,351,570,667,899,775,805,028,945,144,112,057,916,242,270,912,788,188,797,
370,854,650,035,966,724,880,480,890,797,974,205,878,770,131,825,944,408,483,
018,141,667,710,671,746,259,183,266,708,527,590,278,113,088,336,492,135,705,
875,005,469,155,547,859,006,393,173,088,475,196,134,563,728,961,961,424,561,
006,091,574,464,520,731,712,377,155,752,346,711,108,931,719,037,669,637,023,
749,869,663,343,630,609,142,794,903,128,135,769,213,504,386,745,960,821,320,
722,628,342,702,947,619,093,820,274,984,969,618,603,872,148,694,877,046,668,
567,705,717,621,862,398,055,473,062,866,509,118,921,542,424,788,885,443,208,
073,147,660,897,959,677,504,937,279,998,326,035,444,516,549,134,640,090,708,
987,651,366,975,150,142,877,521,985,976,547,362,893,558,222,332,789,231,681,
716,455,368,363,268,446,199,987,997,070,693,888,947,915,936,797,815,927,731,
932,291,341,887,622,291,388,576,829,974,545,086,704,045,320,732,719,234,119,
773,639,475,505,142,118,664,442,450,518,363,011,684,971,405,435,723,978,606,
732,518,397,175,592,433,092,528,786,336,957,675,086,252,467,014,358,903,644,
278,388,985,072,597,780,403,869,265,653,907,918,139,737,396,553,871,512,005,
268,327,636,271,906,124,344,724,216,430,774,862,338,022,940,007,670,421,316,
619,450,350,711,346,958,421,671,826,330,056,943,043,745,406,618,655,298,786,
152,087,512,691,708,416,619,766,464,044,357,483,124,659,547,957,634,506,343,
250,383,563,582,120,625,599,016,071,506,524,978,746,092,943,969,182,962,960,
718,966,344,572,998,743,039,230,990,102,557,858,761,276,161,864,973,707,053,
499,665,787,094,894,652,472,003,731,762,092,175,339,513,520,556,617,931,467,
028,234,553,283,462,805,045,488,600,561,452,317,737,637,372,368,828,886,460,
342,275,225,658,558,154,966,138,827,822,492,468,230,149,656,649,480,662,472,
729,166,593,516,040,124,180,561,437,047,756,243,079,240,501,792,056,329,856,
537,402,002,504,428,612,054,435,010,493,026,193,642,227,230,648,297,612,825,
956,126,940,343,887,676,228,375,745,481,783,253,267,164,686,394,946,626,947,
932,693,003,450,259,724,774,533,858,835,940,251,786,782,428,797,541,611,380,
773,997,805,397,909,945,590,142,735,723,133,693,569,182,882,211,253,381,672,
073,830,565,412,435,361,958,588,871,193,175,711,641,164,924,594,367,097,771,
266,643,365,445,517,729,589,658,418,134,869,893,225,183,329,012,072,872,258,
989,505,450,791,011,565,014,910,539,671,386,305,625,253,794,007,674,217,934,
759,038,698,405,038,046,182,731,503,118,840,987,143,194,316,685,277,828,581,
806,258,144,404,169,173,554,430,167,372,323,591,042,901,341,641,350,489,157,
353,856,996,437,265,946,075,160,338,420,858,322,033,080,309,055,609,747,770,
570,917,402,154,600,035,850,294,165,489,251,491,270,462,743,472,891,181,857,
665,310,459,946,814,479,065,462,115,015,480,796,062,857,117,484,738,322,894,
042,864,562,391,360,532,783,292,785,666,121,174,871,204,406,557,557,845,517,
977,619,476,270,760,286,777,784,899,342,667,586,115,910,439,710,344,800,935,
715,786,592,498,942,941,971,981,064,563,211,062,100,837,882,469,917,750,854,
350,773,734,706,269,644,506,586,436,936,256,612,812,772,465,759,598,400,273,
943,941,362,757,138,843,013,831,420,537,183,520,835,960,868,769,831,756,506,
517,764,573,578,552,090,507,794,294,246,946,271,162,680,731,280,135,724,938,
725,538,636,458,111,948,524,419,207,493,929,052,044,992,304,244,014,529,225,
300,515,777,682,908,700,342,460,088,495,925,564,892,301,503,878,006,524,257,
477,066,434,344,962,901,151,664,429,446,044,820,925,887,013,708,329,286,170,
245,591,765,342,732,023,586,390,029,878,191,036,611,261,100,925,446,023,300,
620,710,481,190,464,975,367,865,572,066,635,212,239,942,163,206,107,071,269,
493,992,981,267,212,223,305,655,501,892,189,616,334,392,727,112,698,851,812,
386,194,496,929,333,604,653,959,223,884,076,188,213,328,635,153,826,662,389,
814,324,434,867,617,938,918,554,384,790,209,252,339,792,253,624,299,636,264,
849,260,989,606,580,299,230,012,784,357,112,316,537,120,922,774,220,647,012,
489,670,470,362,419,043,567,555,367,310,382,395,114,344,123,160,530,442,491,
492,448,355,364,005,047,944,952,718,341,074,478,762,776,918,423,614,642,475,
301,265,657,450,307,553,548,964,850,211,065,226,389,308,738,649,392,165,523,
609,301,893,323,211,472,606,621,797,230,435,669,324,283,422,426,420,481,054,
714,052,373,086,520,670,791,667,205,003,129,830,625,629,980,012,410,223,376,
458,038,167,753,749,737,945,272,418,725,806,398,198,850,555,298,008,004,612,
489,141,075,667,331,191,729,929,859,389,389,188,747,668,788,136,524,299,386,
257,616,685,987,081,291,930,504,274,090,052,967,231,195,399,612,607,686,894,
291,385,399,150,795,689,698,236,550,483,501,755,862,631,143,632,604,377,804,
479,429,414,753,985,981,504,962,191,887,599,274,495,096,347,908,904,095,630,
231,298,020,121,706,247,879,602,441,241,838,467,608,244,489,294,380,857,046,
055,015,743,490,680,359,299,809,605,369,357,824,503,037,420,180,261,606,846,
373,118,532,561,051,787,994,596,867,798,340,504,843,596,315,013,221,328,491,
051,769,193,884,075,219,766,166,479,111,175,568,108,163,967,954,452,600,545,
667,581,286,732,060,604,480,105,341,621,906,843,112,903,866,195,938,045,318,
834,230,552,189,649,528,360,951,445,030,080,257,062,669,204,551,221,009,955,
596,859,731,230,590,980,631,687,212,105,489,051,494,318,200,355,679,414,498,
504,954,586,977,478,594,654,983,114,939,035,939,054,141,456,090,205,461,025,
368,306,254,157,767,759,291,757,165,768,272,140,240,684,774,376,501,011,640,
070,695,299,579,082,957,076,330,138,698,468,463,841,948,967,613,527,018,966,
220,571,506,759,921,716,197,885,241,892,683,607,064,527,481,963,683,476,196,
722,088,652,626,702,858,351,869,998,953,297,096,105,213,212,279,135,120,829,
346,819,542,697,137,227,114,329,165,610,112,052,275,136,219,361,589,900,384,
568,372,558,404,936,092,434,740,011,070,368,230,136,185,644,062,168,812,940,
437,210,917,786,846,472,421,925,636,620,047,145,269,067,538,201,614,561,248,
646,400,920,649,325,309,508,491,638,213,362,573,186,206,729,084,029,742,230,
370,030,580,338,313,403,133,075,265,467,537,956,120,692,148,162,123,902,563,
354,325,466,430,309,084,646,464,353,063,148,562,366,755,223,869,708,958,923,
890,495,993,850,946,279,266,657,571,376,420,647,897,776,487,813,895,443,702,
357,491,082,964,174,803,047,294,827,740,997,095,859,771,611,066,634,105,231,
803,410,465,662,651,335,129,269,023,514,499,467,793,608,542,374,611,567,722,
843,262,130,079,297,606,132,780,598,607,446,602,510,143,942,044,056,665,978,
980,302,399,518,559,372,003,898,607,506,245,439,200,943,547,664,153,611,024,
914,951,363,131,033,176,781,750,268,256,637,599,702,507,987,718,452,623,531,
839,266,595,974,348,643,058,832,344,236,984,854,980,331,122,265,476,643,914,
351,910,481,776,040,029,343,710,798,332,824,709,473,286,145,120,949,690,891,
141,238,020,347,331,757,587,490,036,639,885,977,486,838,226,736,366,060,912,
788,669,826,244,273,635,187,207,418,194,369,198,244,656,207,152,831,499,745,
704,076,835,524,240,068,488,613,339,570,916,623,674,741,020,977,648,599,110,
977,466,983,320,802,418,677,323,786,210,211,765,580,281,947,995,031,594,248,
600,134,256,382,421,591,540,591,789,669,445,954,246,377,638,428,834,101,061,
669,612,108,325,124,983,119,383,904,517,543,139,540,123,961,119,910,817,178,
494,108,845,620,237,134,882,712,676,745,212,397,007,124,841,781,588,796,752,
836,947,343,822,754,435,789,040,887,295,334,211,712,736,321,130,145,232,681,
833,619,539,744,904,484,274,856,504,284,026,165,298,864,066,142,279,708,110,
317,945,340,720,292,025,768,780,467,746,935,970,513,512,490,513,889,079,703,
564,228,411,040,357,032,672,125,818,991,614,072,527,228,414,130,433,117,916,
442,841,374,876,783,435,008,840,602,067,823,021,604,358,950,297,271,219,607,
701,979,101,830,501,044,593,968,260,849,777,020,243,989,626,706,917,337,742,
208,686,171,169,270,136,745,655,132,466,924,433,502,504,373,491,537,738,345,
368,291,401,642,224,725,620,007,612,734,935,869,675,397,105,543,195,759,159,
705,056,497,093,732,994,716,620,167,882,938,666,191,298,485,786,949,366,991,
720,265,090,844,123,823,629,979,553,974,927,733,497,727,118,747,506,951,111,
983,131,850,173,440,021,909,072,505,167,829,851,008,987,364,325,600,717,623,
577,293,908,363,912,392,570,546,551,725,614,634,803,830,477,471,742,554,412,
884,802,240,819,732,519,383,003,385,937,476,308,906,489,838,429,822,235,903,
089,902,381,887,775,495,937,439,917,743,602,689,143,313,743,941,018,811,805,
875,395,122,746,910,776,984,047,378,708,197,335,185,547,826,102,761,421,106,
880,471,120,250,029,758,307,832,399,434,692,809,167,507,456,514,155,883,758,
563,478,985,955,576,715,379,774,449,681,851,999,045,876,444,726,428,769,582,
020,391,896,145,259,415,141,121,682,293,870,479,299,968,916,660,954,773,309,
926,233,280,192,389,279,587,116,939,950,812,828,981,081,202,168,425,404,564,
459,976,035,015,851,708,026,023,943,311,079,604,719,243,942,921,195,790,583,
010,341,266,106,005,535,989,474,653,152,565,425,484,805,059,361,554,978,011,
150,826,666,676,093,646,164,317,710,040,599,136,840,721,989,889,754,158,154,
547,847,366,910,876,840,707,588,712,818,040,869,078,165,666,788,873,068,545,
652,102,913,819,392,891,616,279,585,496,394,657,138,927,216,088,089,862,015,
278,505,362,207,868,069,061,983,238,290,874,747,437,477,093,485,469,985,032,
822,717,251,067,465,668,948,222,533,903,290,554,707,700,508,884,448,109,118,
061,316,084,709,547,164,595,042,567,023,044,084,371,072,688,935,564,259,368,
649,360,615,033,082,605,770,798,802,360,459,803,444,699,398,775,921,283,363,
334,582,052,543,007,455,884,197,158,163,497,523,637,801,403,696,530,631,613,
678,164,622,180,150,736,620,150,319,174,839,463,811,901,341,284,861,752,708,
699,030,417,144,455,550,521,790,217,058,222,450,449,443,747,161,053,822,071,
012,192,200,675,030,936,706,192,856,718,006,093,921,626,741,156,619,855,703,
849,849,281,742,790,443,055,710,181,454,677,262,533,844,430,013,721,394,092,
273,772,623,702,716,310,816,181,275,360,017,592,130,060,610,102,110,290,406,
630,718,563,849,093,986,041,607,664,588,823,203,364,177,878,048,890,453,128,
815,059,501,848,945,980,733,068,724,918,404,760,087,091,167,436,214,296,492,
782,762,897,291,597,865,267,578,201,029,839,896,620,552,444,731,340,896,681,
815,023,163,119,091,564,452,528,530,698,936,540,740,883,257,777,192,680,086,
283,113,260,979,492,020,801,806,838,338,264,727,544,971,836,466,207,445,489,
975,665,903,052,960,133,118,125,693,693,776,783,932,245,353,207,351,938,165,
985,012,456,713,109,867,618,123,457,081,804,562,137,738,670,416,893,888,855,
864,898,293,603,953,093,598,025,383,341,754,214,755,315,180,552,573,026,000,
318,975,234,932,463,902,401,263,236,704,877,747,316,527,231,895,012,582,036,
636,609,166,549,107,202,063,086,896,309,890,892,727,452,471,955,914,126,846,
050,246,401,502,912,359,862,670,689,632,260,669,313,151,949,496,773,193,967,
380,252,964,563,675,599,019,338,900,686,816,631,579,251,350,225,362,897,253,
799,119,672,291,633,089,053,402,293,613,719,669,995,505,937,807,944,258,287,
900,234,317,816,120,015,398,755,023,171,662,591,926,385,803,238,675,273,219,
499,878,369,365,272,249,898,603,844,316,274,415,739,083,854,437,583,565,197,
029,522,950,871,933,590,879,124,337,561,834,349,281,900,417,555,478,422,618,
257,004,283,499,484,111,396,858,577,057,589,553,624,146,082,147,715,087,646,
648,858,167,793,892,099,210,149,000,659,160,835,768,700,690,151,466,406,823,
275,906,422,793,119,744,154,025,147,417,804,302,147,756,371,294,619,917,314,
996,729,044,484,609,089,729,048,499,688,365,110,204,007,097,591,633,438,359,
229,122,370,547,511,918,810,836,922,257,187,097,696,333,920,737,523,715,404,
079,375,454,323,943,351,840,438,734,225,938,418,013,123,270,339,158,277,364,
809,233,422,625,887,027,343,873,033,343,174,341,645,083,124,423,967,056,730,
547,113,233,048,874,525,069,719,514,617,796,194,253,232,558,218,779,864,521,
846,166,553,900,308,826,463,035,937,884,533,674,270,771,771,676,813,805,138,
053,268,811,755,934,405,325,040,989,678,800,808,155,313,977,295,620,637,050,
167,924,582,308,428,683,820,551,629,043,694,929,850,489,022,813,735,539,772,
952,016,790,912,394,738,455,250,713,014,042,722,513,869,212,512,104,670,904,
345,748,351,008,344,837,473,534,113,953,939,626,352,990,533,302,344,235,519,
252,167,392,180,453,295,922,675,148,488,320,441,949,157,911,516,533,091,016,
797,689,236,999,771,856,583,742,283,216,178,912,966,877,948,188,664,108,631,
601,842,324,299,141,376,287,842,866,815,031,034,994,122,282,234,732,537,735,
677,231,384,545,717,616,330,181,646,740,734,733,890,642,133,200,928,101,360,
109,881,973,327,375,787,979,832,262,516,121,883,822,029,262,251,102,435,959,
362,449,804,447,002,158,761,621,701,998,221,551,270,023,262,191,993,920,974,
927,607,653,610,732,650,267,876,592,310,656,780,809,503,471,087,149,495,836,
363,335,227,280,125,576,631,429,732,751,876,568,457,452,079,542,274,200,099,
898,514,297,653,734,209,854,761,403,420,037,961,363,488,180,226,324,673,118,
139,768,404,942,529,651,723,496,952,067,274,951,534,552,453,478,923,182,243,
190,523,537,149,808,006,477,561,182,195,313,615,121,613,411,769,231,457,118,
102,104,015,835,962,300,855,617,108,150,013,766,683,176,771,429,237,893,595,
412,056,578,812,427,870,661,159,442,833,523,925,319,923,479,909,209,861,072,
702,251,064,882,904,082,069,177,206,545,774,116,193,079,937,769,504,547,324,
709,778,977,260,694,980,357,387,962,559,994,551,947,779,099,605,715,437,226,
634,999,542,707,374,209,075,469,358,170,361,036,867,383,233,397,486,616,509,
978,935,576,828,711,758,664,208,795,674,138,664,037,084,560,281,857,148,789,
100,482,693,867,015,478,605,811,140,410,677,537,322,695,835,096,223,217,576,
576,229,541,002,977,562,223,364,825,631,804,256,210,330,187,628,109,662,762,
239,109,628,870,872,699,277,319,105,238,062,811,668,640,073,262,722,120,296,
318,835,247,804,494,706,286,347,970,086,313,143,717,688,661,795,197,245,192,
051,788,851,136,929,894,985,279,014,664,322,050,387,939,933,599,850,858,001,
685,082,079,657,914,579,617,012,124,873,695,946,690,176,482,121,491,688,018,
886,769,999,826,878,930,571,987,345,059,432,825,453,881,247,110,887,941,050,
707,198,332,391,987,614,546,306,353,523,536,979,801,157,060,728,515,885,393,
484,437,517,042,120,515,811,419,698,191,361,195,558,071,450,814,074,606,875,
221,194,262,936,508,645,880,789,957,530,198,717,384,171,230,562,327,408,181,
165,538,674,020,326,772,974,272,986,515,880,670,403,272,805,769,256,610,311,
042,218,159,403,978,522,182,152,968,705,124,911,971,058,231,797,345,089,016,
855,186,377,472,375,312,039,563,267,152,561,797,127,179,480,039,110,397,587,
821,894,523,654,199,830,158,529,715,713,558,104,910,591,439,220,346,902,969,
870,050,482,432,266,082,872,315,813,376,254,670,646,549,994,084,165,414,537,
421,140,553,695,917,968,970,293,491,093,406,314,520,793,088,566,335,369,098,
691,944,103,699,864,304,834,577,348,822,061,804,180,324,915,467,697,642,337,
835,531,654,790,094,942,259,153,631,552,171,737,677,217,803,362,884,407,561,
741,258,161,562,899,522,464,368,932,792,645,149,294,877,444,778,712,572,671,
349,424,841,039,356,739,715,134,335,601,999,571,114,912,554,884,915,551,008,
582,771,674,176,479,839,973,075,815,096,508,577,369,229,580,297,409,669,757,
963,871,047,534,020,467,378,192,227,436,911,530,400,542,004,464,642,624,023,
821,385,609,910,054,987,456,024,467,010,729,096,051,048,357,317,149,699,574,
489,537,284,197,599,987,353,066,559,820,709,566,847,838,931,798,775,973,372,
545,033,136,451,565,603,293,683,622,371,411,100,311,006,623,093,719,753,731,
133,645,202,262,826,104,465,408,747,301,851,446,646,144,099,405,550,489,043,
748,321,566,386,010,172,645,473,663,397,751,048,805,695,161,089,369,712,344,
766,916,000,917,349,964,282,884,718,702,808,940,683,830,403,334,048,238,338,
841,807,322,841,240,357,982,272,363,739,749,112,355,243,559,072,440,278,709,
869,616,224,762,430,095,105,215,546,308,287,004,371,844,015,187,205,003,517,
891,533,149,029,428,401,561,747,894,677,197,512,784,401,163,119,042,242,672,
572,306,562,394,242,182,179,108,157,008,966,963,875,482,806,402,091,819,914,
220,823,042,408,317,858,001,134,068,601,434,688,143,448,006,699,430,697,029,
342,861,256,074,509,211,065,033,283,225,137,697,098,222,337,298,332,987,601,
386,425,308,656,168,840,638,829,378,245,134,550,419,756,560,222,460,112,374,
925,693,140,506,226,283,920,027,872,097,344,613,344,884,383,314,018,015,521,
507,941,400,625,585,668,728,022,634,111,777,375,518,053,402,557,084,550,154,
057,235,869,610,537,535,979,874,342,444,208,192,994,186,003,834,911,756,702,
546,592,758,979,021,071,870,357,153,266,907,981,406,981,461,006,040,978,040,
121,515,119,756,001,165,556,923,071,541,799,452,239,636,777,766,003,675,260,
934,399,655,906,714,353,231,414,289,341,359,506,282,429,070,831,602,580,204,
985,879,790,381,842,575,424,173,610,520,701,814,338,744,714,811,294,447,027,
182,602,607,826,561,246,039,712,482,703,547,545,158,410,187,870,541,370,098,
299,061,202,419,737,534,362,238,842,752,536,446,026,813,848,131,018,678,739,
967,659,685,051,668,282,594,332,925,059,557,685,996,347,777,975,522,688,442,
662,292,651,235,151,215,946,364,978,066,785,176,381,018,766,253,450,848,968,
313,308,505,039,915,421,032,580,586,818,325,318,066,537,413,957,353,680,768,
836,627,399,060,600,829,442,107,641,807,190,644,275,000,869,687,895,729,860,
998,232,774,693,660,863,767,579,688,035,039,871,374,011,380,996,921,049,911,
772,192,065,963,355,507,401,653,621,533,884,866,209,980,646,686,659,070,795,
358,367,242,431,480,731,804,530,823,231,107,667,434,941,168,447,730,099,241,
240,310,211,718,351,848,660,041,346,428,901,171,582,385,556,163,697,132,664,
703,624,376,218,450,977,274,291,780,795,421,355,439,527,212,831,887,498,754,
775,337,313,131,953,625,251,328,058,486,779,055,553,257,899,668,567,721,212,
372,030,366,914,094,802,498,481,963,377,879,943,733,284,247,032,514,562,826,
906,161,451,013,961,097,624,187,065,058,541,889,292,731,686,397,087,984,915,
642,255,449,864,058,090,288,609,627,278,556,606,168,186,211,166,779,332,113,
565,642,340,732,391,845,455,770,145,999,390,921,983,562,245,468,450,456,802,
575,281,184,173,332,527,760,567,632,760,151,311,952,748,505,427,583,121,558,
099,626,477,691,354,838,078,034,217,266,281,811,830,507,091,461,031,415,032,
606,881,002,013,868,024,866,435,089,336,571,780,581,272,328,188,579,769,899,
149,774,027,779,300,557,137,933,703,969,617,152,899,229,541,338,275,839,452,
662,296,440,904,470,842,445,900,434,163,396,959,867,147,154,750,192,862,348,
649,637,710,308,978,049,563,099,901,741,904,014,062,588,669,540,608,456,787,
087,846,631,621,949,023,576,512,703,966,724,862,672,208,180,035,097,430,852,
823,141,477,062,699,473,466,308,631,474,774,321,513,364,020,442,615,006,655,
424,351,997,087,615,403,001,407,270,973,705,793,360,664,511,095,416,370,099,
501,319,484,280,122,427,971,195,832,195,582,301,341,357,943,889,588,434,293,
426,107,182,490,092,753,087,021,920,356,646,427,293,564,414,511,559,797,296,
519,674,998,902,761,330,872,624,296,945,652,549,606,314,304,984,264,734,477,
394,566,452,023,103,590,740,981,739,693,619,374,051,601,189,989,316,039,203,
323,920,819,147,310,541,758,574,460,885,993,338,606,285,883,507,864,911,023,
563,881,416,652,402,071,962,141,076,284,977,376,851,845,118,226,697,574,437,
947,193,247,268,017,220,565,139,462,299,123,475,750,564,878,095,284,222,096,
482,984,965,233,485,718,369,516,597,674,663,395,376,409,200,354,548,701,051,
456,131,378,379,231,554,211,539,432,012,827,238,220,676,176,371,944,797,561,
761,638,795,841,656,563,791,208,398,859,235,275,647,296,568,703,127,334,014,
259,249,464,274,193,665,082,301,451,209,177,703,099,119,522,823,910,691,051,
349,945,522,668,253,806,848,432,779,287,045,677,320,713,305,328,802,258,129,
843,187,786,561,587,776,742,393,952,299,270,454,895,313,069,427,366,818,588,
552,114,426,956,907,057,472,861,729,530,039,505,718,525,470,910,238,225,713,
808,551,196,448,483,160,812,201,218,395,641,664,702,063,267,898,769,775,085,
586,290,062,099,065,295,715,524,533,618,295,709,405,147,035,096,913,749,908,
446,994,338,490,643,843,391,233,879,455,527,031,548,787,774,360,766,218,649,
608,449,857,399,341,858,990,124,280,750,319,991,328,640,378,265,298,741,079,
589,161,396,232,966,743,577,086,583,619,592,446,541,654,725,442,547,828,616,
837,492,528,918,337,800,652,670,872,407,151,955,047,392,230,627,483,036,880,
541,161,171,350,485,048,926,379,641,031,724,816,869,895,063,881,007,875,173,
816,045,358,234,435,074,016,801,759,196,361,923,293,549,196,093,110,653,804,
501,724,194,083,319,075,368,857,225,661,238,459,862,683,464,566,755,532,640,
151,798,160,236,430,358,737,260,494,591,062,280,643,628,292,551,685,772,245,
198,284,809,351,624,408,101,835,292,015,990,120,207,503,815,846,246,835,928,
818,470,739,285,565,312,924,966,679,998,675,881,389,249,971,128,640,685,207,
581,527,850,492,379,795,643,379,394,170,064,009,050,253,583,325,753,697,942,
305,838,225,857,855,998,612,954,118,456,804,258,502,457,720,847,255,268,142,
279,539,466,540,114,885,726,362,144,258,976,617,233,341,701,425,670,372,698,
362,881,337,464,631,782,787,751,671,272,969,104,976,462,655,632,560,500,151,
531,154,772,473,267,424,363,709,538,469,506,212,801,763,527,643,597,107,934,
334,401,076,050,180,641,927,949,287,141,795,492,824,118,382,303,601,194,966,
818,143,621,287,870,505,202,052,533,542,422,527,636,650,467,588,378,526,552,
556,252,280,080,809,687,698,684,192,428,575,503,671,551,515,483,565,256,669,
561,987,900,979,328,289,822,437,991,193,840,637,478,134,920,991,635,917,483,
132,278,832,452,740,062,554,002,960,069,291,353,374,276,649,378,877,543,692,
028,002,816,460,003,996,552,352,507,525,065,475,037,414,029,273,064,182,656,
056,973,186,156,209,279,488,303,549,831,111,494,266,220,840,669,618,961,453,
548,501,488,864,543,667,972,181,383,093,402,451,106,818,512,871,460,388,133,
868,798,308,527,938,933,468,762,707,702,553,602,405,432,347,439,812,914,579,
920,407,811,547,557,861,090,582,804,217,475,503,200,669,130,037,799,444,517,
137,212,631,868,396,783,398,369,571,203,816,375,372,119,577,275,687,325,597,
948,413,676,322,605,833,914,851,617,526,426,968,814,515,616,688,710,430,319,
435,637,794,024,337,393,269,236,977,315,906,610,899,816,517,062,235,545,032,
412,620,777,098,094,548,827,046,676,675,918,764,824,754,258,336,062,097,922,
166,900,405,085,412,594,042,633,845,636,904,490,586,935,936,476,844,081,431,
708,899,439,036,700,231,312,554,566,517,012,610,342,290,740,066,675,399,415,
192,682,642,287,972,294,051,717,881,444,183,307,317,109,448,930,066,972,681,
212,409,820,620,555,742,653,258,667,966,185,434,260,076,689,826,266,196,765,
102,738,854,891,086,686,244,307,303,319,215,177,389,264,319,199,035,804,909,
169,754,044,169,080,215,908,332,066,821,963,773,180,196,628,170,736,496,754,
537,724,618,308,827,759,900,644,498,356,986,919,314,194,165,370,155,515,679,
595,927,425,856,466,698,294,683,272,905,606,815,346,935,231,761,581,780,436,
835,320,227,218,982,046,816,186,917,645,216,715,114,172,919,958,368,991,376,
255,980,012,500,054,780,423,840,539,021,099,512,293,355,805,000,997,132,666,
922,133,938,634,387,251,713,024,226,839,172,564,895,369,742,273,754,857,734,
239,466,787,527,759,037,942,191,250,413,390,337,776,487,903,169,156,329,015,
449,886,474,145,842,637,173,295,884,816,050,182,712,628,891,275,661,317,288,
405,286,513,238,761,226,225,991,873,696,329,814,493,735,156,682,156,828,380,
773,049,368,227,641,879,894,796,245,449,399,208,745,341,937,242,940,677,720,
880,663,594,290,710,813,282,062,119,250,015,159,603,901,151,845,961,647,068,
470,985,848,576,825,061,124,912,427,688,432,304,850,523,503,505,007,108,127,
255,249,470,077,412,404,401,137,548,313,522,843,449,403,265,607,025,931,838,
149,713,938,733,627,047,724,150,084,704,218,443,410,695,514,891,297,226,592,
543,826,552,375,000,968,015,178,536,749,444,431,314,972,451,393,491,524,133,
115,988,899,042,794,070,074,801,195,617,267,254,400,621,965,866,387,151,910,
782,408,961,356,265,136,497,280,740,294,907,301,897,666,324,227,937,760,208,
565,630,408,647,272,758,411,925,257,185,154,743,303,219,758,838,972,152,632,
084,421,771,775,852,968,013,399,312,000,078,902,608,156,229,395,531,044,187,
143,753,805,073,520,477,802,794,572,803,140,001,444,482,327,694,624,612,138,
870,467,044,655,862,227,222,618,528,461,273,066,002,689,729,267,324,486,537,
716,280,442,379,098,577,214,896,531,151,140,968,183,767,122,875,511,141,944,
355,451,744,310,609,616,337,311,216,073,731,850,089,571,182,297,097,484,468,
772,866,480,506,209,337,714,987,747,485,271,316,317,949,101,474,419,056,759,
899,830,716,379,641,020,010,292,189,713,303,742,685,657,032,353,981,947,144,
558,518,651,881,706,684,580,444,975,817,913,341,850,265,511,345,176,446,654,
376,604,103,922,780,247,302,846,737,892,974,656,621,084,498,718,367,388,070,
215,393,488,188,446,657,729,474,411,380,433,108,230,479,712,621,015,982,873,
358,262,613,734,927,733,793,828,710,486,707,370,592,074,815,081,373,061,137,
411,617,861,498,974,826,038,270,783,406,976,145,681,296,736,540,373,659,218,
446,043,285,020,727,711,390,481,742,769,590,578,214,739,373,791,651,505,063,
582,651,779,734,872,435,314,896,277,014,459,503,290,948,297,654,247,417,253,
188,971,713,989,261,545,866,455,893,661,128,666,037,312,194,577,517,746,693,
613,133,670,139,193,677,336,049,613,683,802,758,030,401,441,920,297,216,833,
444,169,028,612,986,702,229,393,250,943,114,652,174,713,058,547,212,552,500,
542,225,653,142,594,152,760,858,440,919,015,722,828,864,565,067,441,512,437,
585,754,224,100,024,175,841,736,272,968,897,401,212,130,124,710,526,354,776,
379,046,938,912,275,796,304,803,394,108,572,996,446,425,493,400,850,260,959,
837,184,000,796,742,840,100,542,869,930,088,251,999,435,589,382,193,697,154,
187,263,329,070,492,677,372,430,862,679,685,931,653,252,348,192,521,190,239,
713,490,489,891,226,820,191,215,877,006,653,380,730,472,985,240,740,682,240,
883,518,018,427,286,292,480,992,797,555,264,912,873,391,335,743,603,922,348,
470,859,163,202,239,267,284,041,659,341,830,901,221,240,492,406,238,526,677,
670,477,763,566,962,953,814,950,638,095,087,769,701,570,884,285,111,041,290,
960,775,439,618,751,500,770,784,135,380,513,735,786,179,800,220,408,312,212,
928,518,683,739,521,999,064,113,731,375,248,305,352,752,438,932,490,836,977,
748,681,623,007,668,699,363,849,531,113,317,252,703,185,857,580,247,704,749,
546,564,289,867,004,484,828,037,281,030,614,372,368,393,348,041,451,077,902,
939,367,832,669,391,063,845,924,173,574,726,693,034,668,124,844,495,190,087,
524,129,859,069,069,693,346,281,177,338,233,820,046,152,515,337,748,668,196,
737,936,502,213,726,467,688,248,377,967,603,507,711,320,613,834,241,804,007,
802,846,546,051,024,973,024,745,449,288,132,496,040,963,585,437,987,499,157,
497,395,665,891,790,111,166,943,791,169,275,412,609,624,386,826,255,776,999,
348,438,607,536,779,933,436,255,192,781,360,659,464,276,424,020,484,486,805,
010,954,270,325,318,777,759,026,681,400,755,744,668,440,731,703,912,323,778,
852,644,897,182,882,697,226,355,848,991,028,499,595,119,415,322,415,694,564,
068,418,030,192,007,511,192,599,821,162,283,904,991,179,993,666,786,757,164,
195,942,935,748,532,942,933,115,409,989,186,751,263,401,901,738,747,219,244,
699,412,807,060,494,907,417,074,294,010,582,864,021,726,145,924,648,163,798,
095,119,660,772,468,613,579,920,627,529,692,462,028,721,002,949,219,207,672,
202,748,768,111,499,392,664,206,139,094,477,602,646,259,029,091,880,526,547,
206,871,655,503,691,395,360,243,596,910,868,133,900,009,231,529,484,344,470,
777,030,323,850,256,753,855,307,038,517,660,463,253,777,095,376,533,685,257,
325,928,024,075,075,839,808,930,217,442,589,936,846,432,543,897,724,012,981,
556,376,494,851,728,558,011,029,929,335,009,740,244,614,957,239,920,056,142,
942,954,986,646,428,130,354,544,033,114,103,306,444,737,069,697,158,348,594,
168,341,857,016,672,028,529,311,090,435,994,218,476,059,740,767,930,601,055,
996,961,903,958,982,105,412,381,307,583,757,296,015,570,760,133,462,272,790,
724,327,788,013,340,329,143,452,621,444,043,943,612,787,925,570,224,633,002,
005,113,888,526,851,176,720,377,917,371,704,228,967,212,784,052,415,058,669,
453,561,821,710,196,443,082,324,020,842,662,156,170,123,451,663,388,532,613,
351,927,390,876,959,692,642,911,431,305,501,249,362,903,376,106,758,478,712,
136,325,400,889,096,756,826,753,562,177,897,369,442,539,250,804,762,636,262,
604,875,591,742,381,332,293,550,912,010,954,188,533,710,835,040,066,192,692,
587,028,167,922,495,581,602,232,223,483,945,723,854,619,686,887,161,141,745,
566,440,329,171,126,262,992,614,138,356,404,288,883,465,811,768,113,018,192,
533,030,100,858,330,599,031,586,111,132,597,160,899,912,040,028,866,227,954,
256,111,678,967,297,538,220,910,862,828,995,592,307,522,842,761,323,454,852,
275,860,654,599,194,494,431,412,740,953,003,721,689,620,608,944,356,087,749,
878,036,500,175,412,520,884,340,782,441,313,105,397,882,869,474,443,357,362,
755,802,594,071,402,725,362,422,182,442,989,014,232,085,453,181,391,718,964,
672,309,131,344,999,374,607,801,595,963,231,481,850,639,939,718,497,804,223,
350,290,309,930,970,318,397,993,158,099,270,859,497,587,915,061,736,877,878,
042,887,974,720,320,225,421,144,154,417,161,156,656,446,135,262,884,649,430,
488,180,850,750,386,141,208,904,110,218,693,229,911,850,488,965,106,249,239,
807,723,519,643,304,285,488,196,430,552,651,802,387,844,222,001,161,144,340,
192,381,524,847,865,025,950,977,367,127,789,114,230,139,188,118,794,131,949,
098,838,948,121,241,429,189,854,730,980,890,198,916,179,227,760,148,357,783,
867,889,169,725,996,558,917,666,443,139,587,472,970,882,366,228,348,996,224,
109,770,919,121,205,848,967,969,069,022,774,023,819,941,004,490,871,394,489,
212,060,718,284,546,873,744,499,438,789,080,864,261,459,369,232,268,640,247,
144,665,732,170,224,871,222,958,391,537,939,508,853,935,243,920,625,998,347,
727,759,095,453,898,246,056,492,624,298,590,236,009,634,402,839,706,573,553,
966,081,205,747,058,950,125,989,615,245,718,145,122,143,293,291,636,710,186,
247,627,068,701,703,529,458,766,690,079,971,225,274,381,006,261,859,274,228,
898,118,101,722,824,283,794,503,676,775,132,601,053,371,411,805,112,758,669,
363,277,866,238,236,843,866,116,547,656,070,444,318,842,636,931,830,954,194,
579,971,206,371,452,103,189,572,991,720,253,700,738,139,713,946,496,076,605,
108,198,375,248,566,456,041,260,494,098,334,338,944,239,487,693,797,681,591,
095,064,095,346,533,462,696,981,596,327,693,860,125,211,871,345,255,492,156,
289,948,560,400,014,852,021,299,646,324,419,749,681,683,050,887,904,597,702,
950,674,601,543,802,185,452,510,350,702,557,079,881,573,131,377,773,008,782,
166,442,820,585,121,284,637,518,600,856,959,550,735,101,176,959,950,652,695,
461,191,884,951,651,384,308,746,434,133,716,473,124,313,549,117,599,099,442,
205,247,531,470,310,853,961,596,354,872,865,352,926,918,720,744,740,909,798,
225,138,483,770,230,191,785,950,275,021,523,224,497,404,963,118,741,152,004,
766,397,583,825,938,388,875,311,911,946,098,881,732,975,697,553,245,294,889,
700,636,969,613,544,549,408,122,386,311,701,019,914,632,217,795,351,026,522,
014,894,151,813,802,311,262,705,295,015,017,259,335,989,609,311,425,100,834,
556,351,520,328,820,219,772,355,570,064,947,301,334,338,621,574,130,340,358,
741,964,286,115,795,676,191,496,270,285,332,252,536,586,664,325,822,129,464,
539,633,496,512,425,277,968,604,419,253,898,800,829,568,490,350,018,413,347,
991,045,212,722,955,282,663,349,940,146,611,007,872,832,117,926,005,806,639,
505,049,953,565,025,255,752,584,469,324,776,472,707,957,401,149,220,572,653,
730,200,218,125,225,838,935,831,061,414,773,434,990,126,588,603,015,349,293,
918,116,898,692,484,016,710,812,743,942,225,168,276,037,710,615,122,006,561,
726,340,348,157,987,675,566,526,629,919,707,981,666,809,899,647,218,653,143,
691,734,823,692,014,172,327,726,160,430,043,257,356,651,968,730,053,785,986,
420,383,256,987,612,995,649,430,691,038,418,590,025,151,621,954,369,674,868,
013,525,042,548,858,974,927,830,640,359,785,915,163,637,226,611,678,589,503,
411,494,656,761,613,801,670,617,961,056,651,499,800,398,997,773,830,459,840,
804,045,742,525,843,551,279,211,146,328,786,548,273,021,843,303,376,466,041,
515,059,879,190,036,029,281,858,160,557,609,288,304,612,871,195,012,094,371,
870,630,033,035,849,080,065,186,326,669,573,572,362,391,936,437,910,012,827,
213,493,557,286,128,226,412,812,166,985,380,686,347,389,776,294,869,891,431,
980,826,913,996,334,132,184,757,109,796,293,719,771,856,571,061,954,109,495,
555,507,063,939,477,610,896,427,459,913,864,165,897,245,864,141,051,164,957,
423,236,949,483,522,184,090,909,143,392,911,695,456,299,755,467,941,812,438,
418,949,219,541,716,857,973,472,388,097,817,205,672,224,702,094,857,444,923,
799,121,967,791,263,880,098,161,539,684,934,008,011,993,357,741,175,089,014,
907,393,646,416,617,587,937,702,261,652,035,305,113,558,620,614,999,732,132,
969,794,064,755,212,907,545,698,199,207,584,416,242,758,598,667,310,970,502,
029,939,041,827,260,586,394,052,498,829,968,661,694,374,780,317,534,327,026,
028,211,807,388,515,799,247,929,538,418,611,565,851,259,339,957,210,300,364,
534,225,240,996,493,831,148,517,852,968,552,224,352,670,448,927,323,333,702,
749,068,406,459,928,230,912,839,934,197,734,827,558,663,093,377,809,021,880,
405,574,118,458,109,181,412,112,293,325,596,245,404,308,489,394,242,995,623,
186,260,587,108,314,782,386,865,093,759,603,073,766,024,490,550,459,527,387,
217,508,083,946,722,822,439,858,201,631,187,593,115,020,272,391,473,575,655,
169,466,612,760,304,973,393,677,244,706,930,085,364,551,189,005,095,451,223,
421,963,274,430,416,737,938,812,273,541,825,233,259,311,364,041,049,520,890,
919,712,086,374,527,652,480,276,527,039,570,595,474,703,770,426,345,959,631,
749,403,637,543,088,617,209,263,915,250,079,853,339,746,681,735,314,394,156,
588,231,268,133,451,120,067,094,456,738,882,633,193,608,666,836,456,894,365,
425,704,853,190,004,580,932,232,355,797,701,950,117,771,810,348,778,861,133,
653,058,878,168,670,850,116,605,768,336,347,023,270,405,662,777,097,127,790,
444,917,221,711,448,875,219,121,466,925,413,611,814,184,048,678,630,429,349,
030,558,591,025,179,885,759,004,702,241,174,983,326,065,355,282,604,860,737,
366,334,754,355,135,639,546,516,443,223,224,721,627,186,906,052,922,396,784,
524,516,267,545,109,248,181,598,091,190,272,987,288,604,919,114,122,085,315,
664,651,741,239,407,619,274,102,711,870,348,349,704,752,264,396,882,940,677,
474,905,603,769,643,843,401,066,495,779,634,560,628,775,035,924,053,192,991,
188,072,511,349,663,965,204,650,951,243,093,580,637,840,399,292,228,181,658,
951,290,220,267,536,137,952,800,066,807,553,624,147,340,377,864,373,830,722,
567,556,830,194,656,614,880,306,837,227,004,380,380,185,475,752,096,645,792,
597,006,967,906,124,783,683,675,110,231,178,933,429,105,583,224,114,709,093,
812,278,759,659,120,225,078,792,743,299,348,071,401,243,702,456,305,871,858,
095,471,388,507,865,870,462,220,046,661,283,256,366,865,350,931,021,974,078,
710,312,029,070,915,076,375,129,752,471,024,506,152,959,206,918,236,653,320,
050,265,640,359,022,026,590,333,133,009,182,243,821,935,067,575,202,593,298,
508,163,045,605,919,641,869,301,881,817,988,293,384,295,263,826,589,940,025,
793,371,151,149,279,627,440,466,647,110,309,146,694,263,961,033,075,801,257,
361,824,791,114,035,669,312,439,509,940,170,778,936,005,453,967,661,319,176,
363,121,278,035,699,841,119,975,969,371,526,607,177,308,546,808,186,826,152,
466,788,328,446,628,759,796,013,761,694,968,596,808,092,993,451,319,421,231,
217,503,678,415,613,074,628,671,455,373,641,838,549,869,343,241,993,226,222,
487,782,856,009,927,103,826,515,007,101,819,488,471,929,623,475,311,064,934,
338,774,225,861,281,556,592,573,338,071,541,729,962,085,844,887,388,896,960,
988,915,925,677,760,594,568,700,422,099,415,261,708,281,835,312,161,654,698,
833,939,753,989,418,808,350,669,472,333,502,999,886,754,360,281,612,913,975,
738,957,200,140,003,252,148,035,601,419,062,756,857,983,508,780,334,640,153,
178,250,671,342,902,688,849,006,436,822,318,531,781,311,174,789,598,083,327,
249,196,381,616,692,158,115,032,609,773,355,545,385,499,044,122,796,146,389,
907,161,688,374,918,150,427,364,623,729,793,595,250,250,701,648,557,161,513,
386,828,545,041,570,083,802,891,699,440,561,260,586,556,744,884,130,091,637,
173,408,477,967,976,368,650,536,829,627,783,448,390,013,733,863,555,582,248,
103,195,681,725,797,374,839,606,400,486,477,213,342,859,661,737,004,266,985,
088,736,942,931,109,153,612,595,028,409,753,852,943,009,608,523,954,817,393,
236,644,540,411,701,947,048,641,647,037,425,227,559,907,402,311,218,255,964,
556,407,173,275,793,136,563,207,899,519,766,287,917,193,547,397,834,408,655,
592,971,847,746,793,066,319,417,181,134,297,087,895,505,912,288,571,130,056,
380,365,144,842,117,515,854,693,068,982,991,330,634,818,690,240,417,222,048,
834,184,216,453,655,779,934,632,322,858,546,151,756,674,230,356,351,010,159,
591,239,549,050,986,623,601,380,090,361,778,386,585,076,287,364,432,133,833,
178,183,353,064,480,556,094,337,191,123,454,281,832,224,263,601,696,248,781,
450,052,971,750,575,655,798,490,864,780,624,819,092,270,842,291,631,223,067,
791,599,612,743,966,651,751,246,973,755,796,594,238,261,809,974,392,222,800,
606,500,326,413,430,285,712,963,744,593,005,099,677,132,795,502,965,291,325,
330,859,211,662,007,315,338,951,477,481,419,802,638,288,378,568,561,134,538,
387,768,889,957,966,904,185,709,652,898,835,713,145,024,672,645,752,197,832,
553,877,081,096,924,562,114,618,663,294,291,071,100,194,760,940,443,917,873,
207,569,763,146,491,118,727,726,059,311,833,794,329,769,150,648,791,695,022,
104,102,502,457,124,004,017,972,251,041,067,878,981,457,527,636,175,572,773,
759,109,632,620,884,112,649,314,744,312,268,183,082,002,364,719,141,959,589,
701,262,353,529,626,638,931,556,080,240,387,028,031,168,762,580,269,926,533,
486,072,427,360,602,401,402,435,247,179,248,329,081,518,888,618,063,925,006,
233,348,235,463,799,662,135,352,381,361,875,398,513,407,900,502,706,986,143,
793,687,170,157,233,567,063,568,781,639,453,856,594,054,240,421,710,105,460,
687,100,614,280,839,605,152,672,822,838,515,296,035,159,323,275,753,231,147,
480,952,076,088,708,133,093,515,291,453,878,675,804,674,735,607,665,120,287,
338,087,714,803,411,239,410,652,002,237,899,862,749,558,804,823,255,055,184,
374,901,956,616,621,251,141,371,364,669,069,129,280,111,145,983,357,088,044,
879,357,160,618,566,062,921,548,474,885,274,506,262,774,703,617,579,966,677,
696,281,586,548,295,042,279,633,433,419,960,302,236,641,239,033,991,771,354,
041,912,125,165,526,903,063,067,551,189,481,283,979,470,686,520,217,634,226,
897,065,536,773,704,507,196,202,681,157,992,394,234,748,017,020,927,063,710,
018,591,317,364,632,828,597,308,775,041,333,959,829,254,409,131,237,135,767,
457,007,883,123,117,846,745,467,551,070,089,028,845,553,576,111,166,334,325,
212,679,705,264,506,532,139,489,808,845,862,551,669,053,564,247,393,581,370,
954,993,132,990,597,443,152,800,415,847,457,305,530,561,336,990,575,465,532,
089,363,221,163,226,554,775,007,711,823,743,547,937,781,624,832,712,407,770,
846,674,708,013,891,561,742,456,257,027,568,871,558,360,007,638,470,450,481,
839,518,602,451,660,312,102,739,279,867,601,242,954,719,703,385,833,291,403,
883,054,629,439,347,950,640,404,852,506,209,229,361,249,146,900,669,194,791,
956,184,017,524,395,584,021,776,225,668,411,303,828,128,374,735,016,611,922,
291,181,439,992,915,507,272,402,619,541,456,425,726,744,489,424,959,444,747,
928,532,376,890,792,399,593,823,569,331,402,046,937,585,867,256,070,277,748,
578,926,911,816,233,610,583,746,606,902,108,523,857,550,439,748,798,026,064,
477,693,298,347,895,601,368,629,690,955,047,877,417,582,070,721,992,460,352,
073,589,906,429,625,977,992,136,762,989,420,354,200,854,892,506,127,176,561,
038,768,338,427,323,300,175,777,498,639,460,341,730,115,584,074,416,903,361,
630,664,313,645,442,090,010,441,563,890,082,286,430,285,231,044,270,657,577,
333,087,316,229,388,076,382,656,526,880,181,253,201,593,122,478,575,325,889,
047,522,533,199,030,098,686,533,106,864,035,698,528,027,026,847,480,405,664,
493,959,402,272,271,208,734,872,231,795,863,502,132,222,725,772,938,707,774,
736,568,660,391,089,539,003,636,280,542,181,258,068,131,404,276,984,853,519,
195,590,988,769,843,040,141,676,076,585,380,079,731,075,637,143,526,261,252,
579,908,792,641,951,051,506,410,717,180,758,754,512,729,939,853,174,159,493,
631,629,162,039,854,352,038,001,154,736,147,681,449,128,740,772,640,240,586,
115,667,840,116,126,226,491,390,906,651,735,982,609,458,653,593,771,704,469,
866,344,501,438,128,003,933,971,591,849,919,225,882,805,398,536,315,114,670,
714,531,780,375,712,547,182,587,398,136,759,167,591,449,783,963,272,810,254,
388,905,966,385,461,593,187,553,730,988,406,604,581,677,383,568,027,497,366,
885,207,259,675,098,724,226,546,012,267,901,674,159,125,511,898,484,390,032,
581,470,176,740,099,857,198,184,078,187,290,876,594,780,117,557,624,476,845,
489,660,870,462,242,419,942,633,950,167,911,065,910,907,436,664,264,087,691,
740,300,053,030,517,089,307,845,432,823,355,123,308,290,182,132,072,864,865,
877,423,267,334,851,449,234,335,686,309,094,769,816,495,101,537,501,467,575,
575,272,221,804,353,398,465,081,943,698,211,115,592,680,689,430,565,759,185,
669,777,076,936,028,160,138,543,487,071,122,016,952,649,550,665,705,661,479,
932,502,336,847,276,254,364,901,534,447,384,380,038,352,889,280,876,582,746,
122,009,825,032,571,349,123,666,135,987,936,940,072,871,272,289,089,695,219,
340,221,428,025,684,121,736,437,325,638,593,003,482,209,105,703,859,390,690,
186,450,724,230,528,637,386,314,904,694,556,143,954,412,185,009,582,974,961,
514,683,729,539,280,581,309,823,388,054,134,874,856,638,378,617,568,070,651,
590,499,649,664,543,403,972,126,243,734,855,557,269,950,321,854,003,007,679,
290,731,932,723,667,963,637,429,963,670,556,427,111,179,930,810,230,376,294,
809,190,306,286,789,681,498,889,674,742,717,611,697,500,617,717,624,353,942,
084,671,162,034,312,577,185,567,163,999,813,427,527,620,573,622,613,230,021,
333,249,638,242,935,325,865,033,328,975,549,659,980,042,750,831,426,952,061,
989,810,698,674,016,491,547,612,058,212,653,263,509,552,781,084,428,204,791,
913,466,698,911,344,454,473,393,279,755,445,534,932,354,397,646,007,030,373,
188,011,268,695,045,931,323,826,146,186,103,399,060,045,185,515,108,276,850,
615,485,069,344,001,784,261,076,293,240,400,624,044,326,012,273,528,186,085,
759,096,680,339,277,952,349,119,543,498,173,686,198,207,994,664,028,325,341,
132,705,234,568,375,952,158,244,539,133,120,763,468,889,772,773,239,497,071,
093,470,799,669,692,385,547,514,217,047,110,164,554,699,814,462,192,132,314,
045,484,015,254,655,614,255,183,260,111,584,188,608,320,887,439,882,883,894,
197,291,229,770,890,085,842,806,691,844,659,259,117,882,907,320,922,290,362,
816,615,248,998,870,474,958,194,234,218,908,728,599,183,861,062,194,552,595,
970,940,950,893,962,244,862,392,833,262,260,916,294,646,536,543,777,441,153,
236,338,958,192,292,024,676,038,354,100,369,544,227,981,055,264,174,105,668,
184,804,558,932,481,209,653,746,770,848,588,019,901,602,999,681,321,015,013,
463,812,663,359,537,783,083,940,468,447,760,040,125,498,772,280,540,067,030,
738,324,053,151,183,003,270,673,407,311,562,351,446,217,053,687,789,560,920,
630,304,557,196,280,210,657,235,128,289,514,358,919,961,375,805,276,664,410,
151,053,029,096,195,099,608,301,541,686,830,982,284,652,864,612,928,158,566,
799,789,262,883,864,029,103,389,243,151,133,706,338,977,009,642,704,878,131,
778,619,125,334,836,282,938,614,664,104,634,300,839,189,448,947,076,113,735,
380,014,607,275,418,624,924,784,987,144,959,029,790,965,003,444,142,450,617,
559,211,500,512,825,067,285,737,170,691,552,266,742,312,437,854,580,257,028,
959,442,847,118,255,963,267,499,039,342,972,950,480,061,837,007,501,063,446,
758,729,844,327,862,702,522,148,597,807,517,391,777,371,239,963,893,622,027,
157,952,401,332,210,563,636,084,483,432,270,299,279,057,342,732,633,473,809,
401,658,055,184,605,039,873,783,980,009,308,476,075,276,149,075,651,011,502,
520,516,793,023,818,956,710,808,162,623,279,647,625,674,652,847,696,469,310,
825,561,874,544,224,707,750,436,941,074,347,645,507,703,243,729,794,726,841,
248,502,124,177,786,855,243,682,423,456,891,313,033,570,202,059,573,767,002,
991,076,086,342,228,206,560,807,889,043,719,654,811,001,186,915,046,947,575,
558,639,329,146,375,028,039,201,755,780,889,123,429,014,392,496,327,051,910,
986,672,430,153,176,978,764,531,106,395,542,587,223,731,068,186,573,570,026,
946,885,639,700,414,379,359,748,800,493,899,090,117,783,809,825,321,717,553,
652,201,239,158,444,455,214,515,902,918,658,541,777,379,764,775,403,354,394,
645,544,605,039,245,735,902,186,547,701,527,378,867,816,254,860,609,708,046,
156,502,364,495,045,142,689,749,718,432,965,009,921,154,759,943,576,012,130,
984,943,279,916,830,440,658,975,338,791,799,037,556,101,638,610,890,476,282,
748,857,618,337,249,121,709,412,861,301,774,581,173,375,422,793,249,534,537,
248,644,318,287,768,334,477,334,291,143,413,420,992,286,583,194,952,314,046,
334,732,637,442,604,770,766,882,909,370,433,858,379,879,330,588,270,772,519,
393,672,217,722,913,621,920,205,323,831,213,029,274,419,385,122,057,278,690,
256,072,657,198,647,472,447,301,337,771,220,463,541,173,239,556,109,896,886,
666,763,944,447,104,576,882,702,688,846,862,082,891,760,835,608,046,758,034,
340,503,154,631,444,931,729,349,536,268,701,598,628,312,785,988,518,983,411,
396,565,453,132,778,785,270,129,985,970,835,690,103,709,428,446,310,947,963,
198,798,249,542,942,405,640,114,480,078,640,865,556,868,299,109,123,420,627,
596,976,470,633,490,716,927,769,591,070,855,233,079,934,480,636,400,142,041,
994,714,461,055,305,110,048,364,660,651,001,005,147,412,197,255,618,162,356,
913,408,537,199,292,387,861,323,078,185,847,052,075,486,865,142,420,610,739,
337,604,564,520,377,013,057,275,886,600,653,373,288,252,747,530,159,434,684,
223,152,653,226,298,034,136,840,222,132,251,298,529,475,152,182,217,577,012,
513,117,460,366,686,876,760,029,059,964,797,763,663,916,698,036,101,139,809,
704,491,052,428,346,871,680,366,442,492,341,150,262,439,102,838,546,435,262,
309,147,628,480,568,716,709,949,931,022,888,987,697,415,362,112,484,778,576,
109,525,541,436,904,611,814,536,826,632,017,731,079,415,520,621,281,424,464,
969,185,425,561,090,292,318,914,185,083,552,992,029,982,555,116,521,985,896,
204,155,364,576,160,337,023,955,607,814,594,456,016,726,749,704,395,061,687,
120,316,449,340,492,613,071,284,990,478,209,629,141,102,246,543,760,693,076,
171,335,073,212,532,749,313,152,343,927,722,095,709,163,454,408,667,024,129,
018,353,362,734,510,567,035,528,736,646,868,557,512,129,532,402,326,543,898,
955,220,773,356,610,493,113,948,651,776,252,777,604,795,441,704,466,788,884,
570,819,060,047,600,715,713,650,809,328,605,791,540,549,283,328,592,585,676,
260,170,163,714,890,554,020,775,461,523,492,777,117,253,503,381,719,840,501,
724,043,249,853,458,510,754,101,974,994,479,865,518,236,356,351,804,736,726,
214,013,285,714,202,609,756,994,208,558,042,028,436,063,789,281,176,822,700,
865,855,663,167,231,929,013,155,462,104,827,339,227,587,801,401,936,571,757,
843,527,164,698,881,084,692,289,298,714,284,430,579,360,231,359,443,954,973,
773,652,128,095,115,946,576,520,147,755,502,977,786,644,580,358,560,654,433,
333,170,605,108,099,203,453,478,676,236,927,920,190,686,386,229,467,001,384,
776,594,374,202,474,354,849,704,046,882,853,344,374,787,930,922,645,999,160,
190,263,597,858,772,562,217,765,291,444,868,284,519,580,790,947,369,687,365,
161,648,239,292,460,160,095,612,371,928,363,952,889,096,644,149,487,495,627,
609,283,908,951,804,238,148,520,482,472,896,698,330,457,631,730,030,260,572,
013,588,050,617,739,208,396,265,826,141,213,881,494,230,276,864,446,181,292,
934,460,363,161,731,953,120,158,260,956,974,663,924,769,258,421,547,944,863,
778,883,336,502,401,797,844,355,202,006,032,951,863,316,273,436,041,081,739,
786,988,699,670,405,471,672,749,870,461,368,645,115,737,126,074,926,924,715,
859,202,858,769,064,201,059,104,618,488,759,822,628,902,997,522,021,782,593,
045,468,186,027,894,349,009,466,755,052,945,884,856,026,962,624,830,402,700,
285,966,941,927,947,532,780,845,284,808,392,447,755,569,728,375,119,918,620,
383,750,164,166,625,832,818,581,729,155,258,419,912,472,378,934,363,304,048,
764,925,981,352,893,856,395,010,080,107,375,219,066,496,815,437,624,309,128,
560,218,871,309,790,240,794,267,466,494,387,813,382,187,746,781,387,357,888,
493,407,560,846,462,512,585,871,278,803,899,973,705,486,408,351,924,279,957,
639,325,186,168,726,281,027,671,973,779,281,931,892,587,319,871,979,131,270,
694,696,568,235,115,221,028,667,885,605,062,304,744,425,017,556,910,602,517,
739,089,905,758,106,844,032,606,473,686,436,272,916,416,114,856,948,963,558,
123,563,893,981,417,972,708,862,147,371,047,781,605,774,175,779,186,741,236,
004,244,039,243,031,656,343,036,390,784,698,825,881,709,534,733,402,082,978,
851,971,957,508,689,693,746,437,975,387,827,323,469,398,202,112,500,065,037,
203,173,141,976,220,953,544,931,799,924,828,574,037,529,412,748,194,766,498,
300,664,289,336,948,047,284,298,543,165,591,377,606,366,151,111,025,465,619,
059,725,732,766,651,006,540,412,591,123,558,835,188,853,251,198,832,429,901,
029,490,937,159,737,032,578,595,567,410,871,085,200,129,509,526,131,675,486,
687,687,746,299,460,770,282,498,561,411,219,949,348,471,018,079,841,736,061,
170,347,719,920,014,901,534,751,972,482,909,546,578,991,352,581,231,435,185,
895,207,400,697,358,720,291,627,791,362,456,991,770,195,459,067,743,355,706,
207,620,260,203,836,744,391,482,219,581,893,697,157,842,130,812,190,989,917,
395,552,226,640,847,145,260,365,010,912,558,250,789,790,509,566,951,013,405,
871,075,474,969,962,442,284,902,040,441,367,817,557,400,698,840,392,574,226,
146,039,015,851,346,694,975,373,302,504,948,340,918,273,331,522,046,061,297,
122,531,170,358,631,348,849,189,804,295,212,973,815,001,843,439,134,139,548,
998,859,341,102,149,919,089,670,664,060,155,048,698,574,675,247,678,027,083,
599,558,000,927,520,423,379,238,749,318,316,249,512,911,554,495,674,125,482,
604,451,210,740,872,957,241,057,554,966,901,976,988,559,090,970,134,651,556,
093,830,211,168,939,029,847,801,128,202,121,884,300,117,492,126,964,432,394,
964,423,958,544,361,658,679,175,477,117,245,374,436,913,111,326,745,606,485,
765,763,213,296,975,770,585,008,651,979,947,878,846,810,518,798,371,463,777,
570,587,979,531,021,820,019,214,038,391,828,273,637,311,582,333,346,713,696,
180,192,326,168,194,192,152,166,480,097,462,806,799,850,480,788,248,968,069,
790,969,680,880,888,814,351,100,663,669,080,818,939,182,645,790,338,073,295,
279,329,910,816,969,410,024,331,826,664,795,099,483,746,850,152,272,548,246,
297,117,250,650,705,491,392,637,508,319,873,292,612,767,127,725,384,846,703,
606,875,151,933,468,938,344,330,115,592,797,221,094,083,187,664,263,597,193,
047,091,834,606,423,329,374,879,317,238,666,946,671,406,890,478,971,198,469,
264,521,708,135,093,041,509,160,727,341,325,855,226,999,371,609,130,789,276,
104,585,220,784,262,273,065,888,835,126,807,281,795,321,857,231,906,676,932,
162,061,614,350,051,692,068,055,805,515,063,438,035,474,648,856,103,464,631,
727,486,360,094,450,127,598,590,862,851,118,658,630,293,982,539,884,744,268,
604,998,540,047,021,995,225,118,463,983,764,212,878,247,827,110,950,667,236,
462,643,571,850,282,143,085,128,872,651,424,697,631,389,538,846,535,920,592,
303,418,694,424,170,308,877,476,781,950,575,695,455,365,462,613,165,385,006,
173,255,237,219,357,346,493,150,937,237,428,249,387,982,332,496,526,964,981,
553,370,696,124,950,219,506,466,963,518,161,869,591,677,715,216,746,857,576,
738,602,754,941,575,024,630,108,766,100,982,769,519,464,193,360,104,942,160,
435,164,445,769,525,584,430,505,402,024,217,416,316,316,695,765,808,687,088,
142,247,985,894,027,411,300,511,747,143,943,138,338,485,886,799,498,701,630,
418,703,232,912,853,141,122,016,852,596,429,361,680,830,023,560,226,667,979,
695,718,400,687,696,983,784,022,328,372,075,413,703,711,614,006,197,100,984,
328,941,351,917,812,202,067,164,130,919,672,202,595,343,098,760,682,707,592,
739,742,782,281,916,846,270,440,204,714,323,673,814,093,219,989,427,516,224,
425,796,217,822,815,601,158,775,939,279,607,263,854,342,880,708,436,076,407,
174,378,002,661,068,585,685,593,631,545,053,358,814,542,968,492,815,482,493,
403,914,145,035,542,584,488,616,113,586,358,224,080,838,296,011,703,311,836,
504,838,806,332,414,030,847,583,477,976,753,781,844,998,995,673,170,708,380,
513,263,359,059,149,088,827,494,386,112,249,553,639,342,555,872,075,117,562,
332,469,235,725,685,808,471,226,004,986,651,855,468,942,103,769,192,315,783,
265,420,872,289,468,355,554,086,475,297,080,041,303,238,482,395,264,305,412,
159,757,902,619,220,184,590,347,712,896,609,004,603,729,047,609,991,313,670,
521,156,615,001,854,159,940,054,061,267,151,576,687,318,225,405,053,404,548,
479,758,026,241,734,667,595,407,148,779,944,546,479,060,449,150,490,686,724,
015,473,690,890,783,410,663,955,881,646,335,707,052,439,768,528,108,764,262,
684,516,885,638,362,416,588,258,258,785,852,920,730,335,864,671,942,237,215,
613,039,561,576,141,997,216,860,163,994,613,474,577,590,704,581,714,439,210,
205,855,402,837,360,073,647,397,922,640,092,440,721,316,926,016,926,930,773,
657,054,513,467,098,506,340,199,493,113,709,771,079,186,721,168,052,948,095,
646,859,619,277,343,120,314,271,791,388,239,014,176,317,148,200,331,645,636,
188,271,122,684,809,427,391,890,613,431,859,022,660,980,374,725,157,008,379,
523,780,966,969,537,792,703,610,493,936,683,452,124,147,096,575,198,206,779,
747,184,655,261,975,327,615,642,488,099,370,719,039,534,532,730,361,530,876,
643,694,369,567,776,503,482,555,181,173,095,643,203,292,662,111,035,453,360,
445,810,703,005,305,930,057,236,958,652,103,868,489,952,211,696,663,837,891,
527,138,361,907,031,037,429,101,078,534,300,721,444,768,674,682,618,844,748,
222,765,008,288,324,811,377,602,180,643,691,557,902,356,529,151,649,642,746,
105,128,551,468,146,153,268,242,166,226,115,920,871,910,304,149,922,268,685,
087,333,363,839,651,099,840,458,085,552,025,762,971,437,160,266,916,894,870,
652,432,107,817,945,512,196,181,777,206,420,556,952,236,254,273,268,976,969,
103,123,478,482,103,960,369,987,529,762,748,205,394,415,094,780,918,022,249,
806,423,664,482,899,761,351,260,030,763,330,293,237,710,829,003,092,510,920,
264,650,806,726,315,423,638,896,388,924,770,659,462,360,701,357,358,270,720,
589,521,773,737,445,957,390,102,395,039,352,783,829,089,245,833,824,347,075,
683,691,682,786,230,657,828,052,706,116,987,758,977,579,363,212,596,294,012,
317,037,715,013,975,899,167,634,007,198,495,655,414,340,221,178,318,691,282,
876,747,758,318,485,939,782,218,581,503,587,771,095,523,053,724,013,600,139,
008,489,321,148,533,031,947,405,690,722,986,248,627,564,442,507,928,105,021,
349,715,858,081,269,403,999,542,873,514,691,571,322,322,023,566,662,397,224,
958,693,067,209,114,360,740,096,320,843,549,274,571,129,026,247,576,500,180,
257,020,069,785,950,460,430,238,916,540,366,364,109,569,568,615,110,536,277,
394,111,084,689,514,594,731,794,614,800,383,800,650,271,894,302,009,419,642,
736,657,840,664,828,346,905,377,919,629,306,290,434,925,761,766,574,292,323,
805,238,492,595,157,725,620,586,421,007,718,574,449,301,775,629,972,115,145,
662,463,564,967,933,356,560,584,537,271,165,081,565,016,143,876,103,223,555,
380,766,016,166,929,246,353,081,156,034,816,198,101,741,503,365,788,562,020,
882,879,084,375,825,298,009,545,009,440,840,111,596,502,091,324,099,843,385,
309,649,382,186,180,884,364,376,796,164,136,840,889,477,701,136,100,353,424,
290,941,252,489,896,180,630,656,664,516,255,824,286,520,022,194,215,173,997,
919,193,315,741,066,979,060,597,815,981,754,196,773,288,753,885,055,105,627,
053,178,912,847,356,098,073,510,050,378,692,771,216,850,745,708,099,686,167,
852,480,812,579,658,461,678,656,829,368,616,326,551,222,288,683,527,557,253,
817,769,703,938,098,096,680,309,121,257,429,849,563,814,672,601,780,050,111,
599,224,082,008,494,384,086,847,734,208,266,354,505,291,179,672,374,312,549,
465,207,954,348,989,921,018,254,936,571,250,352,090,435,265,167,359,084,689,
113,450,799,596,043,002,406,399,262,923,785,282,118,111,479,683,064,691,241,
052,638,505,503,322,838,829,309,715,089,374,120,033,763,604,736,252,639,458,
299,264,688,256,727,701,436,238,959,856,861,933,277,636,058,446,172,397,546,
055,063,404,517,874,568,014,902,929,510,617,713,014,547,982,446,034,586,158,
761,203,490,317,134,574,781,500,696,359,081,461,450,156,441,781,670,091,505,
218,588,642,742,300,009,197,525,661,037,774,388,174,020,868,610,840,691,615,
141,058,507,306,949,531,808,734,231,903,259,163,907,983,084,218,258,070,240,
477,159,096,052,915,772,559,827,105,579,121,875,707,478,724,817,082,281,288,
712,329,294,672,123,713,086,704,406,912,921,060,444,013,531,221,472,588,423,
260,275,407,947,007,694,016,754,726,107,120,844,476,127,692,041,942,554,255,
778,568,314,699,937,604,390,228,326,889,261,447,604,574,088,724,358,671,019,
683,252,761,632,921,528,617,273,268,204,946,288,965,098,108,227,230,243,674,
386,463,254,983,684,161,255,843,443,195,445,700,041,802,337,842,524,473,742,
757,284,666,134,736,259,340,443,258,933,990,949,720,485,856,571,539,582,561,
753,384,452,868,697,229,179,058,744,514,333,364,948,115,431,980,167,859,431,
402,938,020,504,615,779,616,129,823,208,100,611,926,079,415,875,493,806,342,
299,634,408,721,185,919,921,525,639,600,442,264,998,132,166,436,529,726,124,
205,077,508,592,730,660,255,476,959,648,721,943,946,908,364,270,428,611,030,
220,665,408,294,783,054,028,965,224,515,930,667,619,280,548,910,929,700,850,
666,359,749,560,217,126,580,122,883,501,228,809,422,916,150,547,918,032,678,
411,582,953,218,425,317,743,773,917,974,897,795,250,899,905,019,499,377,856,
916,177,287,511,315,076,480,871,979,525,378,227,223,118,340,816,585,234,329,
471,704,273,508,261,520,273,213,393,136,248,069,583,331,375,132,402,381,108,
049,467,567,600,449,325,860,600,942,288,963,782,107,520,450,237,114,542,613,
123,716,257,563,266,451,493,598,740,066,170,843,740,959,699,983,941,149,603,
160,510,422,320,038,890,083,052,262,594,625,498,993,445,387,002,341,533,650,
985,693,636,033,900,790,332,136,609,532,111,609,103,765,041,634,757,783,653,
954,028,924,270,643,901,474,259,566,778,540,481,171,322,730,175,926,912,493,
926,748,498,886,723,585,169,492,798,039,586,306,283,679,469,095,926,023,580,
146,600,349,875,663,514,043,987,078,364,726,833,001,715,509,784,293,073,521,
941,015,083,800,771,129,248,470,263,431,739,723,672,333,490,531,553,357,255,
873,820,578,524,912,871,683,428,219,443,907,402,909,470,728,028,016,846,422,
783,959,996,091,824,707,578,776,877,535,958,684,225,012,367,937,762,208,146,
163,194,764,602,006,731,394,987,360,364,992,931,815,211,844,962,041,659,490,
591,313,216,169,375,004,283,818,359,618,626,028,314,100,030,147,152,354,309,
267,873,796,223,522,909,194,090,832,949,827,787,103,014,638,129,082,017,459,
575,837,863,429,039,177,206,073,353,868,787,401,919,046,956,016,068,868,293,
294,228,896,560,662,511,864,311,904,638,549,470,560,791,922,578,963,680,160,
344,172,772,704,013,180,655,264,212,864,851,575,447,104,169,014,380,939,396,
824,094,142,994,926,852,548,321,765,884,275,905,041,631,753,804,442,035,179,
200,865,784,542,729,951,717,163,586,907,803,821,167,239,130,770,461,380,530,
536,941,383,492,148,597,915,629,527,509,831,600,622,850,747,200,240,056,409,
164,815,659,416,916,790,255,492,181,209,123,678,489,863,815,943,352,738,910,
427,961,324,405,485,815,290,665,791,877,736,984,889,492,489,652,356,245,752,
730,396,649,546,600,708,231,265,042,596,432,255,123,858,380,218,228,953,474,
338,319,926,135,013,525,699,680,936,173,278,620,262,458,579,203,328,406,257,
050,988,570,481,012,225,819,903,919,290,052,912,844,999,469,750,210,566,194,
778,772,813,185,981,557,542,812,716,082,296,697,319,560,936,492,359,620,517,
891,441,310,154,931,117,755,700,361,315,752,141,462,692,102,848,028,208,583,
266,721,450,352,117,010,725,565,346,330,023,506,581,700,172,384,824,165,811,
579,365,749,299,599,633,050,507,348,922,704,348,970,166,111,753,184,868,587,
315,953,370,974,737,611,981,681,054,858,878,511,094,238,151,847,832,898,903,
828,338,442,968,841,642,627,306,974,672,500,423,583,064,104,208,231,784,312,
675,763,396,591,792,895,929,929,470,003,040,223,784,444,302,637,899,650,115,
198,550,471,329,324,042,744,181,460,766,472,105,560,450,276,289,723,772,914,
144,588,549,600,315,654,482,399,040,860,159,559,238,600,472,217,916,282,127,
939,559,539,254,265,114,483,796,659,052,481,570,464,932,482,812,735,512,314,
311,471,940,676,395,061,851,239,859,323,003,388,555,602,332,771,521,070,328,
120,915,311,797,696,847,345,848,431,583,676,138,762,845,968,247,531,055,063,
579,109,132,485,167,023,939,070,933,513,117,003,788,727,136,514,323,337,863,
221,276,622,933,492,891,419,118,445,384,531,493,264,834,534,614,451,112,124,
229,432,083,480,419,151,569,435,512,421,260,385,359,772,789,297,241,560,041,
425,483,059,046,785,771,452,319,078,611,840,272,255,763,409,323,538,778,843,
570,312,086,118,946,445,181,999,227,866,403,841,610,821,624,822,135,013,685,
500,027,532,877,121,828,704,868,540,608,491,317,479,077,811,376,594,632,692,
221,429,197,243,430,158,647,180,034,569,056,724,004,502,478,223,201,901,980,
632,715,104,230,825,142,976,819,552,953,345,195,263,809,845,782,351,388,738,
653,079,672,405,692,073,594,337,588,492,975,132,889,414,001,237,750,135,080,
732,137,604,198,184,897,503,999,225,932,470,372,793,652,295,278,961,754,138,
123,652,699,071,708,574,421,802,823,849,984,295,377,763,484,522,284,563,858,
135,079,086,613,556,502,470,970,206,934,598,935,977,493,070,559,227,170,758,
344,416,090,560,756,541,477,734,784,105,676,343,665,905,944,087,304,930,768,
263,437,798,952,721,367,352,910,647,580,416,601,499,633,405,555,844,669,537,
260,843,204,892,853,602,032,148,747,479,888,153,436,678,151,726,199,723,575,
128,353,674,257,505,938,519,806,789,704,529,459,217,394,194,537,665,129,339,
548,716,375,531,826,729,614,044,037,674,541,541,818,070,062,875,408,667,782,
117,403,597,709,334,096,599,296,296,561,161,442,173,231,806,065,049,787,574,
369,986,507,931,321,560,886,540,225,354,395,493,087,283,326,264,949,495,466,
237,831,789,346,243,593,168,040,800,331,066,168,327,700,255,945,744,456,562,
471,734,148,147,057,277,720,281,319,379,037,505,512,411,211,814,944,647,469,
153,915,097,741,243,816,818,146,249,179,600,833,422,488,753,573,359,771,316,
689,421,408,222,258,700,784,121,800,031,435,780,767,855,181,110,886,281,419,
323,229,753,239,666,959,461,846,678,638,251,651,449,243,734,815,073,369,945,
528,665,575,645,310,457,334,831,916,302,935,442,723,330,129,786,446,902,057,
722,088,329,241,307,424,818,480,523,213,364,273,466,041,235,960,367,841,632,
151,040,549,240,465,990,189,375,039,406,823,444,154,944,181,270,197,813,344,
467,950,903,863,399,535,518,350,028,413,722,773,373,985,576,437,053,326,099,
908,407,702,887,018,558,515,037,819,897,472,787,535,027,094,076,803,709,715,
544,809,987,053,824,990,712,689,684,225,612,663,603,890,702,280,757,616,828,
101,600,404,520,104,562,848,936,749,784,251,412,175,121,487,206,022,912,851,
476,163,605,763,391,986,916,549,575,618,670,168,058,987,699,995,840,129,881,
413,222,667,353,412,157,627,459,341,322,923,659,708,212,390,307,835,880,141,
743,578,933,839,790,047,157,154,097,986,769,923,589,703,826,804,445,936,233,
973,798,897,726,358,578,908,482,486,706,131,745,971,436,444,209,711,320,625,
796,086,692,872,091,852,618,774,529,451,722,815,285,140,446,393,004,728,122,
199,177,900,116,924,218,739,013,989,438,543,627,421,112,275,544,841,919,497,
691,415,255,484,240,089,603,451,812,041,619,490,543,022,696,695,458,749,512,
413,821,251,173,743,491,126,942,035,144,436,596,083,231,237,029,913,790,042,
673,961,355,275,279,534,728,249,509,861,814,286,516,175,512,306,700,051,879,
061,118,602,595,045,158,890,556,455,488,862,223,822,923,793,525,563,360,691,
414,599,985,252,801,955,652,156,001,481,087,121,766,783,275,106,552,643,296,
696,229,972,118,497,997,475,441,278,896,082,883,369,065,147,318,181,343,720,
129,486,096,834,732,699,867,912,477,695,090,844,099,356,425,797,783,888,237,
957,640,982,026,206,086,570,834,187,512,422,251,849,291,822,233,432,340,374,
767,993,510,071,703,580,472,597,775,265,850,495,307,322,139,423,265,285,277,
890,153,864,985,349,552,256,711,028,540,926,109,685,813,375,428,601,299,758,
218,592,738,566,426,591,672,841,862,389,877,311,712,480,020,613,502,071,992,
222,187,799,918,066,581,740,523,643,570,801,306,321,747,569,635,542,601,813,
512,098,513,678,520,879,486,033,255,182,892,862,730,699,099,693,721,555,365,
989,332,346,762,566,116,113,362,058,379,421,017,605,496,415,494,639,078,127,
522,382,263,954,199,347,319,548,701,468,935,257,368,751,441,596,843,415,829,
382,232,317,082,853,825,701,069,220,449,906,451,559,970,222,516,515,504,317,
242,854,602,579,214,956,162,270,170,797,607,437,012,603,080,334,769,306,805,
828,934,217,148,135,524,584,406,862,465,945,328,271,789,589,939,014,837,938,
602,858,934,712,169,309,907,040,541,599,852,693,590,379,626,244,732,166,455,
673,705,119,883,525,678,761,826,902,947,756,543,389,090,320,129,397,104,409,
486,470,894,130,143,375,910,720,928,902,126,118,256,241,906,772,803,418,758,
220,284,927,479,261,961,086,065,617,607,148,053,813,050,146,624,775,514,056,
865,332,297,997,740,280,521,436,210,033,428,162,518,103,033,356,698,453,653,
280,002,056,500,450,919,222,566,078,052,873,137,510,974,594,304,230,815,588,
894,144,152,064,428,071,683,912,329,195,837,815,013,471,138,915,449,481,161,
707,457,125,337,298,416,981,524,992,424,519,865,526,658,990,029,716,976,742,
448,464,258,493,915,772,701,636,980,483,424,854,348,348,577,992,771,593,352,
232,134,559,044,277,184,619,984,928,984,885,050,633,588,232,718,667,585,068,
758,944,612,603,117,555,723,242,298,674,069,850,922,527,528,478,255,795,904,
799,937,465,960,929,364,657,543,580,830,175,301,001,692,631,289,471,535,369,
342,615,838,931,051,217,804,021,137,283,248,215,564,646,958,479,638,839,214,
286,021,098,647,012,665,853,323,573,594,546,715,478,385,932,493,709,940,687,
285,317,501,766,462,151,175,173,185,712,272,312,595,088,814,881,754,691,788,
332,347,414,874,562,088,700,066,360,320,950,400,158,203,050,683,047,480,023,
043,255,433,463,265,949,907,388,473,602,743,190,627,355,190,494,529,604,265,
336,572,192,474,405,891,269,340,767,742,842,096,636,173,698,089,693,122,444,
038,498,600,295,584,887,931,176,806,624,217,442,173,940,942,440,630,502,253,
325,199,884,749,642,138,144,904,242,631,224,689,182,399,710,443,561,196,133,
151,786,915,654,960,335,572,907,675,284,588,507,099,781,676,542,449,100,684,
027,531,876,783,450,088,937,349,229,773,441,719,936,884,071,464,695,742,145,
679,344,176,664,427,333,247,659,261,835,820,718,053,577,580,021,486,938,055,
217,851,695,472,110,496,108,189,120,400,713,818,323,450,121,355,180,310,998,
737,913,938,665,896,487,194,294,170,376,981,549,613,718,759,098,040,728,499,
690,728,449,989,191,777,870,808,037,768,312,320,865,292,262,723,777,643,158,
316,056,688,638,785,013,637,119,606,193,725,687,381,986,533,640,483,854,344,
945,328,296,260,765,640,352,040,273,066,211,468,619,703,888,213,262,882,724,
919,615,631,079,950,040,302,894,366,285,935,452,790,795,198,866,186,675,957,
179,453,742,708,971,528,319,580,527,064,534,324,329,457,713,490,681,783,644,
452,373,235,569,339,801,405,356,056,398,529,649,645,403,313,068,741,133,015,
187,363,279,067,651,008,480,079,533,706,927,957,454,247,829,188,161,651,106,
444,147,800,204,146,255,549,138,688,144,059,965,369,358,919,149,362,871,542,
614,588,706,579,528,904,032,052,013,366,399,316,337,088,973,528,488,232,401,
221,039,560,713,497,674,006,444,254,079,127,636,263,841,145,028,323,970,481,
322,057,348,775,161,617,399,923,192,035,866,442,919,356,462,893,327,303,584,
512,036,365,990,788,297,185,171,385,754,791,660,624,641,677,144,317,830,271,
528,536,019,747,774,561,789,398,970,594,655,145,439,250,177,961,774,880,575,
804,810,826,267,793,645,375,186,815,710,127,029,997,641,884,148,231,230,539,
136,248,213,200,963,026,037,311,975,176,284,731,813,754,172,128,928,561,265,
999,388,762,514,007,197,296,708,192,808,291,684,138,715,189,084,398,552,008,
149,079,301,460,597,093,291,165,476,193,449,908,731,543,565,094,437,519,164,
140,830,186,282,909,781,536,713,604,453,161,328,823,229,718,288,232,086,185,
383,380,149,449,535,101,535,237,701,049,164,859,980,310,122,181,755,745,489,
595,404,340,757,887,603,039,829,416,450,601,250,088,732,668,725,835,849,048,
667,808,633,716,637,363,825,871,694,652,269,830,091,412,291,623,153,760,858,
865,979,933,425,704,317,931,270,945,202,686,130,934,311,956,043,028,614,451,
408,303,385,387,262,926,046,863,289,286,816,911,289,096,204,623,247,933,644,
133,483,369,268,596,998,132,463,211,495,378,011,862,562,590,636,772,220,772,
017,417,012,053,266,046,138,206,960,902,088,264,592,504,508,181,461,221,022,
825,363,740,461,971,407,197,193,867,843,221,362,001,662,201,672,699,786,459,
214,217,447,091,251,453,031,280,112,194,708,448,047,051,631,430,167,249,637,
662,715,293,079,253,081,017,975,069,577,400,033,286,339,784,889,881,608,668,
327,507,877,096,839,074,560,151,292,307,768,403,824,204,858,669,995,239,256,
428,506,092,032,157,920,061,092,720,577,026,840,799,975,120,108,153,363,694,
166,053,748,850,107,918,672,719,248,829,093,130,916,613,080,499,172,243,573,
478,183,006,966,731,933,117,249,315,377,639,569,175,883,316,066,780,720,170,
128,747,366,879,606,328,899,232,070,144,185,600,274,955,741,654,403,152,220,
144,582,728,870,513,320,049,806,321,781,289,096,180,454,392,121,383,265,787,
693,703,097,593,724,294,397,357,177,142,945,442,611,690,231,171,186,487,641,
660,819,771,911,445,620,918,385,704,005,136,620,868,289,001,610,010,349,870,
214,763,442,680,679,750,872,123,603,911,009,881,013,620,785,148,894,651,163,
200,770,761,214,281,878,629,975,192,170,671,487,050,083,844,269,423,756,995,
957,791,008,404,530,519,870,366,042,234,825,438,001,322,201,331,267,498,064,
879,570,695,840,305,355,692,581,428,549,107,541,172,267,783,432,254,158,055,
874,885,281,457,602,901,587,950,974,957,718,006,644,280,829,623,033,168,591,
448,934,896,214,618,432,184,771,141,391,603,208,713,457,206,690,077,053,778,
123,273,455,377,745,151,611,899,812,169,201,220,729,592,988,255,414,872,632,
929,989,178,462,736,294,457,960,717,154,647,311,356,545,409,199,064,813,658,
667,096,773,988,273,450,377,189,669,494,645,011,258,428,518,791,692,767,969,
227,243,245,081,587,961,861,485,413,761,763,324,029,352,508,812,807,604,703,
639,344,232,998,899,225,846,683,897,146,412,656,498,321,960,639,971,864,077,
252,891,471,939,121,840,895,514,515,751,548,292,531,302,261,394,346,479,045,
401,349,408,638,059,470,282,689,430,175,531,838,604,377,596,740,033,515,496,
964,356,712,254,827,503,462,344,596,003,324,934,540,713,500,186,866,438,381,
806,526,559,243,533,278,341,690,933,048,320,132,026,857,403,407,146,526,921,
274,770,475,372,918,474,321,348,691,501,319,487,228,871,837,552,666,926,712,
145,293,947,273,278,185,052,358,013,868,177,680,793,267,379,529,175,148,454,
623,283,484,890,394,297,434,206,769,099,025,058,761,154,566,545,299,226,087,
051,324,448,477,449,591,758,054,087,465,110,027,499,087,068,590,288,368,625,
883,536,040,672,939,648,132,508,171,036,568,957,151,377,879,926,314,501,356,
283,938,340,354,249,236,418,121,011,076,307,788,563,566,691,613,364,315,621,
146,480,225,590,858,253,326,347,225,821,181,300,340,664,538,890,148,927,909,
592,125,369,192,192,311,664,296,467,243,949,196,014,136,797,897,402,155,834,
408,532,544,778,360,552,301,370,538,757,136,792,894,380,768,575,175,473,674,
756,280,095,896,503,570,024,797,576,524,960,001,740,951,439,048,260,251,903,
181,684,399,674,661,467,804,934,950,348,551,932,513,056,711,105,165,515,917,
575,359,286,798,942,713,245,416,267,027,460,599,862,635,048,419,626,593,261,
514,424,855,715,449,271,685,520,570,834,561,639,517,446,651,603,194,547,960,
761,673,622,196,280,992,754,999,440,937,230,322,515,110,065,122,592,981,924,
101,180,466,699,135,831,985,900,823,577,797,052,793,230,722,110,008,561,300,
503,244,602,374,330,617,943,917,159,474,323,212,370,038,208,600,134,502,971,
634,555,044,477,364,328,110,384,832,522,038,730,019,856,662,839,959,590,892,
201,639,984,836,055,032,154,653,121,597,254,079,870,465,704,927,989,970,700,
603,348,264,531,217,609,314,861,850,732,156,536,185,084,996,085,806,195,324,
086,120,189,420,763,127,311,012,089,023,644,710,306,246,379,217,472,337,096,
966,788,871,468,215,554,281,947,426,431,896,832,806,628,467,127,577,510,529,
382,436,951,164,686,381,723,733,474,449,737,834,063,213,982,006,868,327,783,
081,462,412,049,210,390,654,571,389,792,850,368,741,477,240,819,744,762,701,
798,786,511,866,351,572,611,847,111,368,635,379,322,988,968,546,027,756,207,
696,049,264,625,821,510,277,423,021,545,589,954,184,208,948,353,926,789,636,
521,946,747,743,015,800,280,253,831,375,858,099,515,377,440,186,716,693,793,
994,788,980,462,045,791,981,307,331,012,448,918,383,914,854,066,926,237,789,
624,754,947,522,651,284,362,414,315,272,308,967,223,866,270,328,256,677,234,
153,407,030,805,280,608,032,963,807,646,297,577,788,241,144,288,051,366,135,
804,943,482,366,356,708,870,319,735,190,971,232,627,743,238,558,499,310,744,
937,962,356,263,731,418,411,486,344,896,073,226,679,766,451,272,263,322,586,
819,365,990,387,829,406,901,066,875,439,975,955,390,249,307,797,161,251,285,
458,273,840,249,981,784,998,693,489,006,596,580,535,000,391,900,372,820,066,
543,521,874,878,002,768,362,638,647,460,952,303,318,702,424,987,196,933,012,
804,035,729,443,416,045,659,926,321,341,192,486,951,833,544,258,810,541,198,
154,638,996,275,930,120,212,273,872,124,558,605,886,788,397,728,089,879,167,
333,759,386,424,139,098,319,960,456,446,579,277,123,387,493,721,680,642,955,
059,303,927,117,088,816,079,551,675,937,954,758,370,439,750,669,665,018,899,
425,232,167,708,100,663,021,290,215,530,567,412,716,490,974,471,792,457,238,
002,658,110,767,402,220,232,635,696,296,484,383,942,116,110,733,872,727,447,
473,495,231,378,617,590,484,946,437,405,368,044,013,242,643,075,410,157,452,
971,500,734,189,882,394,572,071,904,362,873,108,659,552,049,959,876,142,058,
031,526,650,614,674,074,230,075,199,413,620,212,186,473,305,159,390,251,447,
071,230,040,649,589,983,400,576,244,538,251,208,139,380,068,784,230,611,620,
707,350,820,173,016,397,507,254,099,179,593,145,183,429,053,372,688,587,520,
260,843,311,738,757,529,977,433,681,041,553,167,455,956,621,430,636,500,219,
931,378,060,720,810,229,206,419,191,977,447,418,794,646,472,043,163,789,813,
473,417,032,732,420,344,658,213,050,157,373,734,398,186,920,841,689,201,313,
668,538,422,310,761,546,874,191,288,136,303,540,799,103,177,022,557,056,985,
748,306,527,822,095,871,504,775,947,626,770,141,264,868,656,590,394,188,082,
135,613,115,216,280,077,919,817,562,532,978,396,445,499,181,621,041,347,118,
041,292,002,145,995,416,736,157,586,102,647,629,600,093,129,505,600,349,182,
670,625,719,127,315,714,637,086,066,505,873,578,520,081,474,991,286,764,143,
817,630,245,156,880,061,132,342,011,047,489,193,503,015,103,919,575,232,354,
549,770,589,978,464,811,190,397,842,295,614,226,141,758,482,321,024,413,511,
304,606,022,060,584,926,135,016,038,220,179,353,341,495,775,784,178,168,967,
704,228,017,999,454,735,064,825,068,747,794,315,896,903,671,667,946,872,654,
890,354,232,488,452,825,301,910,076,790,894,354,682,690,409,101,447,060,494,
162,061,631,975,384,106,806,376,244,347,317,046,652,122,239,314,977,362,322,
609,114,872,443,637,512,330,328,306,213,007,721,357,974,515,928,673,867,789,
853,500,101,812,372,429,786,185,770,529,497,420,181,317,690,174,461,198,717,
863,895,873,709,893,482,125,224,899,038,634,917,798,359,819,986,303,748,598,
920,045,169,511,549,353,777,045,350,937,696,229,006,953,608,390,399,923,597,
332,953,473,222,734,838,841,129,566,833,964,285,830,639,808,568,408,606,273,
439,801,361,802,223,846,634,502,752,601,910,201,927,868,199,380,123,515,260,
173,514,792,581,490,740,710,543,981,724,717,993,404,300,151,265,205,102,863,
083,693,496,365,572,944,818,079,657,211,917,296,515,224,921,255,021,384,272,
122,612,461,463,970,758,459,665,977,317,516,287,743,026,199,381,353,481,637,
705,229,348,855,771,506,122,947,460,479,529,140,478,430,070,337,661,176,553,
125,393,772,253,199,766,711,792,273,434,114,552,014,154,586,523,342,767,354,
410,204,898,921,080,780,311,162,211,216,559,998,604,960,676,346,120,854,588,
519,129,227,358,115,648,364,530,932,396,032,913,773,974,512,797,123,465,109,
424,930,479,471,133,096,640,208,600,834,661,249,176,128,268,892,815,268,465,
586,624,835,694,526,805,789,297,446,764,829,751,981,287,888,380,655,539,685,
060,170,053,365,953,704,638,146,330,346,310,175,348,695,276,582,770,711,631,
440,195,756,081,099,709,948,867,680,567,199,781,331,302,542,241,102,180,194,
072,926,714,569,246,910,533,401,316,617,152,319,998,734,575,621,820,629,497,
437,716,303,942,940,127,886,561,167,260,975,807,026,730,057,704,369,294,769,
734,199,471,318,275,875,775,588,801,355,088,011,375,558,838,306,690,486,823,
416,837,954,927,462,007,882,177,087,411,517,639,448,649,440,409,838,409,025,
619,096,562,703,152,250,996,059,582,365,968,632,455,862,107,208,468,775,557,
503,254,170,789,361,389,878,005,846,892,300,980,310,064,256,165,085,540,468,
046,202,999,501,192,380,641,506,617,998,025,323,072,020,011,255,662,051,708,
486,193,730,082,510,822,672,313,509,099,384,311,346,495,164,555,194,994,796,
585,899,624,932,636,905,468,743,228,409,799,719,473,302,138,005,590,580,072,
659,161,145,193,332,911,238,906,213,767,321,009,808,190,230,222,595,024,252,
931,697,979,285,464,428,944,904,843,635,164,490,741,899,786,105,298,539,898,
964,604,514,068,965,132,835,475,362,650,403,647,369,766,886,907,210,674,810,
936,839,105,389,992,665,382,843,547,103,033,229,723,424,020,272,047,115,705,
377,592,744,136,829,953,916,336,032,971,939,603,177,231,929,582,833,267,664,
926,606,259,086,541,554,244,965,087,131,337,419,073,924,606,853,859,944,144,
716,616,582,117,991,369,750,283,574,587,563,980,380,643,034,609,651,248,987,
138,415,445,015,100,803,007,562,687,372,914,428,953,005,058,761,642,729,622,
030,747,682,582,603,467,177,695,606,052,260,234,265,914,389,197,719,184,780,
550,437,424,677,712,320,533,425,395,452,831,733,938,341,129,059,432,221,862,
431,176,673,765,736,657,773,618,238,130,391,591,149,809,599,392,671,947,218,
029,276,691,611,583,660,982,203,785,292,658,656,043,947,361,092,669,963,831,
699,582,859,102,843,650,365,639,085,575,454,779,362,904,950,890,238,893,189,
354,715,187,668,313,001,468,194,289,465,596,726,370,585,980,399,512,061,262,
925,674,053,781,850,156,513,070,208,710,533,089,696,620,086,634,024,139,893,
826,046,091,378,679,569,535,247,512,063,089,427,014,440,825,677,152,682,849,
681,547,429,981,430,261,391,167,356,806,749,465,838,166,654,491,553,869,115,
648,716,830,368,372,859,211,819,207,639,808,199,015,744,736,584,770,559,169,
953,790,869,905,411,845,846,713,695,435,903,172,361,830,189,348,028,528,649,
944,036,476,470,923,263,265,281,069,158,131,005,708,684,479,205,761,685,061,
724,720,404,149,020,354,844,757,693,010,585,502,776,093,034,955,399,956,545,
163,072,405,633,914,357,195,668,532,211,790,773,050,923,978,454,927,598,275,
128,405,918,835,043,661,919,276,577,742,732,553,320,441,096,362,933,809,973,
065,513,727,587,406,320,623,496,205,400,525,009,540,551,877,450,302,947,693,
634,352,659,169,575,594,059,768,912,041,462,281,106,688,102,318,898,371,963,
253,770,222,310,412,840,918,980,988,106,820,231,043,700,764,674,945,492,801,
382,351,216,444,032,110,822,074,068,337,207,155,223,811,182,307,125,299,653,
663,416,796,592,975,817,577,286,854,561,448,024,153,354,727,031,375,887,509,
347,523,374,995,889,877,681,623,500,194,337,687,961,854,460,274,271,821,087,
709,362,308,856,864,103,588,985,104,890,253,502,231,269,852,553,444,734,724,
949,934,000,625,125,607,737,997,833,842,072,429,912,591,131,966,199,892,419,
407,377,917,380,388,731,376,642,809,061,957,340,133,660,158,346,842,896,847,
863,516,256,629,813,254,012,756,414,763,205,290,960,159,250,955,091,840,783,
263,081,620,728,331,810,784,862,171,689,565,778,726,804,062,664,227,860,955,
053,975,667,515,281,919,418,446,029,539,146,446,919,059,011,237,739,050,951,
150,302,024,806,374,280,680,316,188,596,390,599,024,024,608,451,498,261,527,
532,661,282,540,145,268,060,823,345,867,936,449,363,229,729,928,487,075,628,
469,145,603,414,338,584,618,895,324,304,392,673,445,168,226,272,424,103,903,
166,312,161,028,261,534,906,344,088,939,875,354,581,395,832,723,797,605,538,
331,985,278,704,685,767,104,046,744,686,528,981,990,173,164,549,095,175,620,
349,772,422,970,674,947,755,073,415,136,830,341,963,625,505,476,884,302,226,
080,112,758,899,725,238,386,471,207,238,183,841,353,123,066,178,623,569,287,
818,484,431,681,360,881,189,982,974,715,643,577,618,694,648,173,206,337,112,
253,835,437,133,257,866,736,468,796,484,429,596,053,733,708,123,414,154,747,
535,158,102,277,192,211,462,171,653,908,481,537,899,308,801,282,097,489,734,
149,970,483,587,447,106,080,880,659,611,848,187,845,888,677,536,914,150,269,
893,351,781,962,124,457,962,858,129,171,929,315,146,618,072,620,911,460,193,
787,133,222,543,898,439,127,007,963,246,943,856,785,278,653,237,749,593,909,
346,580,494,541,790,317,169,605,982,112,547,580,123,188,058,690,828,447,608,
522,794,913,319,111,363,205,215,586,286,615,458,194,709,544,371,044,091,774,
869,354,713,910,878,591,295,963,243,692,099,118,836,221,933,592,567,075,734,
765,517,228,032,841,107,298,179,228,846,332,801,101,314,229,578,271,577,032,
799,656,717,757,070,617,520,317,506,134,493,729,719,212,037,593,087,277,556,
860,682,319,695,278,950,897,152,510,347,121,157,628,956,756,759,445,728,765,
037,377,214,493,337,343,166,731,039,710,925,154,424,600,574,664,955,143,896,
863,709,432,295,340,140,144,209,224,820,717,171,999,852,077,097,042,842,150,
305,005,840,917,468,793,072,597,575,537,500,380,636,583,869,242,638,807,724,
587,457,917,875,099,420,937,452,461,074,062,772,154,480,746,062,489,855,698,
520,346,253,330,877,488,729,226,851,816,572,431,080,335,781,060,949,083,291,
324,687,892,523,885,868,190,305,599,306,393,718,217,857,220,212,789,808,823,
135,459,172,065,116,679,823,703,052,788,694,423,815,487,023,092,007,310,189,
056,032,973,929,728,180,208,138,190,574,805,469,138,641,631,628,245,190,226,
141,111,176,958,278,628,908,481,141,896,970,976,877,942,095,108,151,090,950,
975,795,271,578,284,491,680,085,164,730,090,925,163,271,574,314,901,501,831,
017,421,253,617,180,815,845,932,916,768,125,490,151,616,681,604,928,912,115,
793,579,430,294,470,940,475,750,548,290,869,441,430,136,488,055,815,618,226,
747,965,385,624,427,310,683,427,720,002,552,082,023,163,058,103,351,151,284,
479,055,375,092,374,206,312,341,559,516,680,544,757,999,150,479,251,697,052,
870,495,026,228,695,260,910,787,380,627,711,134,329,289,729,020,419,071,833,
313,377,228,692,334,148,559,990,765,137,153,843,052,296,396,706,323,350,551,
282,409,948,366,444,049,294,446,967,453,206,947,673,643,262,100,616,388,786,
860,585,061,630,343,727,052,720,380,539,986,765,843,031,579,427,503,550,844,
329,015,696,328,995,234,277,515,875,810,093,097,850,256,772,152,993,638,892,
730,881,420,574,913,420,483,157,798,016,552,006,134,338,451,059,432,026,204,
225,628,524,868,606,914,077,348,657,275,327,995,916,677,380,040,444,118,825,
297,445,846,077,904,466,097,717,950,218,225,511,094,782,552,393,649,653,734,
467,622,658,865,662,612,685,015,936,418,342,613,968,937,369,110,135,412,331,
555,116,297,525,957,001,646,723,916,962,792,730,741,536,272,712,116,425,302,
226,652,932,943,945,542,487,654,335,717,855,141,600,363,570,621,426,289,660,
449,457,430,967,630,492,998,376,407,985,858,206,707,192,999,097,062,931,224,
669,880,048,712,264,438,963,377,803,062,423,678,598,940,443,735,116,508,470,
123,481,358,892,386,140,171,082,534,841,775,035,746,327,093,164,429,646,158,
778,658,431,203,351,261,823,802,510,540,047,424,373,500,712,596,196,626,989,
616,107,848,988,372,185,802,972,496,758,062,856,994,955,466,158,861,621,794,
512,390,768,167,208,468,950,415,750,478,676,551,406,037,830,417,644,584,860,
331,856,062,082,816,702,530,402,715,142,073,911,104,921,866,141,174,431,485,
260,573,677,998,612,968,106,480,717,727,979,178,717,837,256,064,300,743,008,
998,292,630,082,246,198,926,613,545,023,552,588,942,821,081,143,266,791,284,
682,486,545,210,587,427,793,101,857,845,721,296,218,915,356,285,154,577,224,
567,147,662,051,540,063,913,285,943,183,105,819,118,418,967,908,303,337,924,
236,909,403,659,943,342,297,194,163,832,896,126,091,191,486,596,163,338,800,
007,958,962,414,008,184,330,079,818,781,322,127,537,364,679,415,190,150,867,
477,132,855,941,979,182,674,336,793,407,067,270,065,843,729,915,877,441,868,
836,983,643,997,007,153,677,715,211,152,864,097,000,548,712,317,648,703,376,
064,817,882,222,581,788,979,464,754,334,756,873,077,892,423,364,431,436,690,
902,705,775,005,334,540,849,459,327,063,062,402,293,193,033,325,101,992,216,
774,661,936,314,555,047,859,349,364,954,857,363,830,002,440,222,724,104,413,
975,529,749,785,828,698,861,861,022,416,879,381,953,872,436,551,957,382,821,
409,157,675,716,516,035,605,760,777,629,305,657,984,394,921,996,115,321,695,
422,237,258,769,350,084,618,254,166,783,079,843,530,383,822,454,135,782,867,
037,482,868,531,511,458,841,739,463,235,189,096,313,797,623,409,072,318,536,
172,369,145,715,970,499,352,290,606,106,630,027,180,849,475,893,324,620,645,
286,293,598,228,048,200,289,993,739,816,356,367,244,817,267,877,963,238,456,
380,442,042,262,071,653,905,536,801,696,290,952,899,364,138,673,385,656,116,
972,982,796,642,071,219,447,321,924,951,712,413,156,819,827,717,039,241,570,
049,141,161,040,052,543,612,231,354,529,703,205,529,109,498,515,304,889,146,
676,762,276,062,197,818,707,488,250,046,086,092,078,055,373,596,068,708,103,
122,288,603,283,524,525,547,872,409,576,106,896,518,404,434,333,077,566,374,
756,982,783,261,321,028,092,199,541,014,888,720,523,856,692,489,141,360,653,
072,744,146,701,972,956,470,159,212,487,066,239,860,189,522,039,945,067,827,
688,435,278,084,722,906,193,306,347,865,838,829,597,078,286,142,221,283,460,
069,148,847,740,178,784,985,485,978,935,241,584,744,942,721,095,923,988,624,
386,854,407,178,917,437,567,630,097,429,289,508,596,377,978,026,094,968,790,
235,664,665,509,857,190,099,812,492,620,806,098,014,541,019,449,559,873,547,
245,918,594,247,955,397,346,252,040,247,447,914,952,845,491,004,802,914,457,
259,872,792,223,889,550,904,493,717,378,197,476,478,589,342,583,925,965,100,
527,860,737,164,521,700,211,372,122,748,837,205,682,035,255,495,899,345,418,
006,000,616,469,082,900,262,567,224,793,327,697,465,257,903,440,776,716,328,
955,346,927,550,013,399,497,890,048,999,151,154,243,959,680,999,596,067,114,
316,633,132,599,026,603,534,121,035,574,985,911,809,324,495,130,062,379,974,
208,271,692,781,026,290,468,485,318,636,806,602,007,359,503,164,924,872,222,
793,501,414,963,911,856,267,041,486,719,977,657,070,487,691,951,222,941,577,
780,340,410,705,374,730,149,037,349,268,029,593,738,032,123,944,214,068,605,
995,943,028,079,083,573,692,886,535,353,043,766,949,140,269,940,255,980,724,
948,665,275,967,904,806,895,191,737,793,071,534,880,052,516,867,857,156,457,
841,618,011,694,053,446,511,289,335,869,786,490,803,951,580,186,847,780,967,
551,176,232,243,619,325,643,168,206,067,248,218,844,649,443,099,258,218,086,
896,513,044,307,644,449,491,251,305,766,487,653,828,760,646,824,282,529,511,
406,478,550,409,219,263,963,253,638,153,892,121,867,869,734,814,193,482,955,
004,265,998,080,586,031,673,916,478,386,340,514,340,099,367,073,887,977,875,
503,490,726,001,496,308,961,702,063,656,568,075,096,495,857,551,302,657,544,
791,721,628,621,067,107,566,941,907,210,919,078,830,623,663,960,614,393,818,
211,700,325,892,260,931,900,345,336,910,357,457,321,909,700,969,147,648,605,
184,239,412,429,811,379,469,507,184,442,874,309,906,610,235,618,446,418,469,
472,848,341,304,525,608,024,160,427,538,948,141,992,079,319,232,427,190,569,
954,866,131,496,022,318,551,722,789,220,840,878,198,277,733,535,871,660,642,
227,859,712,540,292,195,519,823,698,539,708,937,911,774,297,181,481,749,013,
923,401,721,523,605,051,854,958,067,393,917,030,810,996,301,737,651,776,856,
402,693,653,299,749,701,621,994,714,425,628,657,361,423,724,695,383,161,035,
413,445,492,938,741,584,164,038,465,339,725,146,852,502,302,359,387,413,466,
702,379,681,904,172,497,017,305,115,812,505,907,270,591,172,764,835,822,855,
603,867,067,367,097,859,354,043,715,771,417,727,568,813,898,687,901,191,531,
880,877,835,703,263,096,612,561,048,117,463,592,099,978,159,315,913,214,581,
371,305,815,276,117,953,937,699,389,759,743,715,346,673,002,311,591,704,835,
331,003,792,794,775,570,563,167,364,783,138,593,101,689,245,688,197,412,535,
543,221,054,738,008,295,553,566,567,557,223,046,234,900,752,461,507,446,081,
064,888,986,399,329,654,865,143,479,341,861,574,071,695,841,856,304,038,379,
113,519,609,015,370,362,274,600,226,061,817,735,821,908,198,726,307,518,531,
101,810,897,820,784,067,048,428,720,362,500,476,470,827,634,949,765,110,284,
896,592,600,296,503,154,525,362,934,905,585,308,834,931,797,244,617,596,081,
100,897,525,362,566,257,028,701,102,615,427,331,227,925,754,155,389,129,338,
051,815,037,667,031,201,332,378,191,558,687,120,232,234,096,001,213,394,456,
679,046,039,306,089,091,484,809,169,692,560,677,547,383,896,375,767,642,657,
837,954,529,650,485,548,640,430,654,307,962,855,803,873,350,148,204,992,141,
828,692,867,515,209,367,463,772,678,015,050,124,350,342,104,654,273,009,945,
648,888,436,653,987,531,399,024,125,143,295,927,226,508,759,980,332,116,846,
565,122,701,635,521,881,345,260,289,705,260,036,849,098,487,283,897,822,241,
299,448,529,653,437,366,444,551,525,279,252,063,722,906,928,101,315,900,274,
238,630,336,935,459,038,101,109,774,573,478,557,914,454,811,712,012,812,362,
051,564,737,388,868,675,883,777,111,413,560,745,853,771,902,101,095,190,708,
998,904,251,910,074,986,156,862,648,606,794,070,851,367,624,010,898,969,034,
389,986,925,547,972,818,003,084,592,734,554,281,298,974,807,948,174,857,338,
778,428,061,521,434,695,889,273,135,938,490,580,815,236,973,464,108,155,183,
778,560,348,072,778,873,944,750,919,933,105,620,734,566,919,002,643,187,569,
358,936,776,570,161,253,590,194,266,982,975,382,269,782,851,248,807,285,711,
692,129,143,613,219,490,167,983,314,977,060,820,421,074,508,954,256,144,518,
910,177,155,590,536,750,042,645,180,341,093,824,817,683,815,766,744,319,532,
435,455,890,998,968,391,506,261,415,301,769,587,895,158,090,628,185,491,395,
067,564,897,666,440,183,611,062,975,159,895,920,261,138,130,892,118,323,920,
017,720,900,728,527,326,882,894,497,510,096,728,771,367,100,631,208,864,266,
906,032,998,748,117,641,053,193,986,547,282,288,176,647,100,651,517,732,026,
181,687,390,767,101,877,523,629,962,973,662,017,581,671,758,624,711,957,925,
686,595,392,236,907,838,447,297,681,765,754,153,877,570,507,358,674,052,622,
630,952,079,464,875,125,321,029,654,212,357,784,445,291,345,847,982,672,881,
877,527,117,222,577,263,764,287,367,670,962,869,539,763,488,456,886,638,036,
523,366,685,106,020,138,983,327,370,866,726,567,227,014,252,023,109,027,913,
859,064,319,011,159,626,873,572,767,289,134,507,955,820,644,882,306,044,261,
173,851,233,652,514,356,400,890,343,582,828,510,635,984,752,100,862,187,300,
520,917,022,561,387,824,764,109,103,877,733,640,848,604,696,573,234,467,848,
767,784,512,032,112,630,738,566,246,002,330,333,517,638,799,846,143,229,847,
470,982,763,004,691,968,824,068,065,780,540,220,424,044,773,301,395,227,271,
146,399,174,041,887,500,363,917,897,538,568,150,949,652,260,672,450,044,105,
130,755,374,813,642,661,649,071,189,332,972,544,024,394,599,943,559,429,634,
160,282,363,743,103,370,705,246,795,778,680,396,867,402,409,059,989,834,628,
888,459,024,061,722,526,311,796,093,494,553,513,847,609,960,704,434,245,344,
332,955,063,100,570,305,702,071,122,799,329,832,703,851,962,843,643,612,524,
884,424,015,315,812,376,804,216,202,533,565,971,698,716,338,554,019,430,759,
620,777,821,937,384,269,976,280,528,009,738,156,495,117,688,515,724,467,907,
918,854,046,840,716,620,415,527,848,439,578,671,888,744,915,654,845,892,313,
259,588,135,311,312,227,897,287,646,795,637,313,919,155,901,315,828,695,927,
288,642,731,746,039,069,642,733,095,178,921,398,893,039,583,603,044,479,416,
105,544,561,760,887,352,894,889,182,487,598,387,987,756,940,969,288,093,045,
607,660,693,095,574,311,803,181,676,254,154,296,373,758,045,817,628,826,833,
751,447,901,818,252,197,669,326,218,758,625,240,564,768,432,765,426,166,297,
922,859,094,112,875,139,494,213,194,908,008,586,614,976,987,931,519,324,039,
483,703,711,695,863,896,838,031,999,969,946,974,153,545,638,708,722,596,475,
948,153,908,499,467,054,249,257,591,144,248,937,927,057,131,306,146,358,625,
362,177,074,570,755,246,464,602,807,401,124,274,602,421,688,062,922,430,680,
456,883,494,769,930,092,339,232,777,820,564,460,041,702,722,605,480,233,293,
654,856,613,284,359,690,842,750,471,178,841,351,364,890,896,348,874,364,943,
043,664,734,820,769,750,027,370,950,756,936,166,986,123,767,271,505,095,513,
596,766,358,032,351,263,719,779,239,148,928,758,621,913,285,350,792,486,351,
236,181,885,873,151,346,418,880,619,702,739,898,043,425,849,112,422,522,997,
493,718,514,537,593,050,373,151,290,821,464,997,994,873,216,735,706,872,241,
714,729,366,783,999,208,536,685,656,379,780,320,173,632,303,699,511,153,287,
141,304,229,902,496,986,993,831,420,366,411,450,078,140,075,845,942,661,915,
911,095,300,949,148,565,073,305,643,295,277,843,169,581,233,811,294,577,869,
323,171,254,563,346,472,852,378,334,722,438,810,061,373,838,069,477,416,609,
716,761,906,622,342,496,009,702,282,676,221,491,871,220,831,147,183,694,349,
760,338,734,330,961,918,225,836,098,192,447,507,653,383,662,154,015,177,226,
780,846,763,985,136,008,814,868,679,669,534,416,184,882,866,743,594,124,636,
527,446,115,788,788,512,899,063,123,810,369,285,138,984,594,724,254,282,325,
111,204,609,121,346,452,630,882,233,896,294,140,123,179,319,439,475,389,205,
292,588,587,574,630,552,158,408,048,856,280,717,392,490,892,227,303,952,767,
914,855,883,646,177,010,844,157,040,799,267,528,498,924,739,958,121,685,912,
064,771,707,299,459,741,105,494,209,092,315,203,353,670,907,659,401,147,970,
529,738,902,895,804,301,999,217,611,625,621,252,570,351,455,362,727,746,891,
540,499,279,405,974,404,533,268,380,396,585,142,408,937,876,034,377,271,397,
715,078,927,610,099,949,375,052,705,118,189,863,641,092,623,495,237,580,947,
641,601,266,868,700,866,299,804,469,603,119,516,479,733,165,763,266,083,491,
667,322,155,926,234,088,986,743,073,982,562,172,218,501,378,598,466,266,442,
622,867,638,047,225,367,165,821,822,915,075,513,631,648,079,724,465,956,268,
373,850,493,335,102,174,700,310,052,483,823,409,572,511,602,798,195,135,585,
216,251,930,371,368,850,403,350,611,736,733,993,075,249,263,032,901,067,270,
624,888,690,996,193,424,163,217,315,564,108,177,893,982,729,182,091,567,500,
126,844,353,610,488,344,685,314,786,549,937,342,178,378,126,509,502,018,415,
061,616,252,959,130,711,485,326,428,733,268,787,258,723,189,933,819,226,959,
553,778,093,555,839,072,644,388,365,284,301,179,355,312,122,761,073,595,737,
974,041,895,608,237,185,457,029,513,276,987,570,459,865,147,590,398,997,396,
543,851,367,543,187,211,567,557,879,419,303,940,615,803,266,873,920,450,670,
274,451,647,024,365,709,804,466,028,618,441,786,552,689,566,634,326,392,080,
492,112,983,516,078,669,576,212,594,437,175,555,811,037,980,723,315,938,842,
383,034,664,038,927,710,360,076,076,959,455,957,662,898,402,823,442,127,933,
642,063,475,687,851,107,248,430,121,904,306,722,452,690,884,556,860,389,418,
070,986,028,708,889,482,146,819,497,865,560,958,014,015,039,381,427,022,481,
778,824,730,872,177,501,688,490,286,028,263,475,684,184,744,533,568,574,760,
136,172,926,091,044,503,409,269,088,842,380,271,405,100,701,260,351,719,013,
819,701,641,736,309,404,145,390,446,281,630,602,709,887,831,255,224,258,915,
297,520,159,120,743,714,266,138,248,093,412,289,391,249,558,696,583,595,325,
484,606,683,668,127,001,400,556,877,660,348,115,669,917,402,250,036,927,937,
663,251,228,703,347,580,805,206,265,783,176,100,443,588,808,576,200,059,690,
297,099,218,451,978,717,388,604,108,397,892,417,273,317,529,727,212,068,100,
320,341,612,134,844,007,356,226,714,257,765,510,523,946,831,813,111,323,101,
344,908,798,475,304,179,907,223,804,862,825,428,116,461,759,346,040,114,868,
458,628,913,626,461,113,747,088,392,145,729,902,346,543,638,416,236,860,848,
612,960,878,910,697,683,882,912,994,734,508,143,035,639,765,134,282,901,881,
684,949,988,788,324,103,526,725,134,355,772,556,335,906,270,426,135,185,615,
810,175,670,462,178,025,386,305,290,357,223,471,606,913,834,236,426,057,690,
696,860,942,759,245,505,449,292,748,918,569,207,034,862,118,146,632,248,385,
592,173,912,536,925,031,737,980,076,053,975,244,347,930,865,106,235,807,188,
953,505,660,484,385,060,254,041,298,079,282,384,956,678,670,659,642,947,796,
598,558,619,934,754,058,733,061,152,620,354,618,169,947,852,604,673,418,559,
678,538,060,600,120,371,199,207,187,464,395,642,145,270,759,117,113,138,698,
422,199,911,484,129,571,284,756,724,860,125,266,136,125,000,349,387,990,407,
649,881,358,882,568,224,523,141,529,114,408,778,010,742,214,316,704,272,663,
074,219,919,001,872,363,170,189,552,481,103,716,573,162,376,279,841,895,336,
734,854,248,954,113,434,502,052,787,183,995,282,657,120,323,111,241,549,690,
477,255,847,655,927,821,487,543,905,202,670,580,164,911,052,632,444,779,634,
185,473,564,097,860,602,662,161,535,866,044,233,444,401,365,753,346,697,330,
126,681,027,032,913,081,829,420,807,648,607,681,490,697,623,959,477,927,863,
893,544,537,284,891,561,517,389,316,863,709,601,330,103,766,767,116,065,382,
394,848,151,404,922,874,099,286,669,242,503,064,807,716,077,862,322,176,735,
686,357,387,825,859,081,744,392,545,063,312,156,795,700,177,347,017,125,561,
466,478,260,460,311,887,854,601,053,865,556,362,142,753,460,762,240,813,597,
973,396,536,863,773,096,510,501,865,542,254,984,330,224,252,917,966,484,597,
679,268,058,235,387,556,026,035,813,796,215,314,381,038,364,097,183,764,190,
712,816,182,611,472,396,924,600,659,393,230,705,905,721,692,481,302,450,638,
954,791,055,874,099,209,259,186,497,132,029,972,063,799,589,983,132,756,287,
078,742,871,528,050,608,934,379,711,722,256,972,015,739,645,319,227,502,220,
077,197,204,167,090,738,106,324,900,762,715,550,856,672,427,205,178,792,067,
758,001,354,253,697,286,627,224,042,140,103,324,817,870,610,966,810,962,906,
029,465,044,926,527,646,437,622,154,174,037,439,562,834,592,062,909,363,331,
228,212,158,142,178,380,715,021,153,903,171,378,491,374,660,213,396,563,395,
254,005,695,019,730,832,718,575,865,717,029,948,129,504,032,065,920,464,827,
483,513,036,169,832,577,395,266,352,334,140,913,573,309,737,508,650,702,999,
890,979,563,195,186,831,993,859,533,931,238,763,301,345,971,294,336,293,466,
713,192,989,013,605,436,638,631,739,148,605,560,589,999,227,839,328,633,140,
933,690,089,534,260,488,356,181,528,382,870,307,299,121,139,906,179,352,276,
681,108,164,516,033,455,549,723,317,793,343,710,609,063,910,229,213,106,784,
929,997,340,756,233,104,510,105,839,475,767,564,990,533,591,216,475,368,426,
949,693,693,327,843,545,522,594,140,326,147,839,617,438,604,559,341,463,679,
838,335,901,376,829,621,681,352,187,440,099,863,827,805,523,686,116,165,681,
209,601,075,803,758,213,532,811,461,636,937,256,295,901,494,675,168,117,325,
798,071,334,127,954,222,205,450,438,244,823,305,174,824,863,266,345,245,991,
433,898,009,136,381,493,698,225,013,345,036,809,681,007,929,149,946,565,412,
521,658,520,850,724,041,585,525,871,922,855,809,124,604,093,404,034,940,463,
213,608,637,422,007,562,157,484,015,357,575,782,437,147,998,792,734,968,031,
086,067,612,795,551,195,367,018,754,513,451,920,479,850,714,421,850,415,406,
649,968,938,442,628,934,012,530,613,398,648,758,622,155,246,590,297,552,404,
844,939,519,289,101,014,684,500,469,366,783,794,506,899,687,503,830,109,484,
872,654,543,639,571,129,208,574,479,718,577,121,517,838,743,764,657,146,354,
296,402,034,170,156,765,610,206,117,438,865,037,391,869,224,204,049,942,199,
703,507,125,195,205,334,566,342,814,743,006,187,729,576,178,427,070,854,979,
239,367,895,144,996,923,280,785,607,011,069,363,019,160,487,459,114,727,344,
099,590,257,036,811,153,848,168,729,693,294,360,425,574,328,786,768,635,508,
708,872,923,402,043,202,862,659,895,304,515,881,497,636,406,839,715,286,336,
615,138,806,252,177,853,311,057,212,463,978,211,578,979,796,595,781,731,849,
021,485,949,965,569,047,556,378,471,149,672,619,011,367,695,750,130,854,449,
489,254,535,965,536,679,831,572,826,937,348,654,309,070,696,334,542,509,465,
991,948,860,686,043,385,248,185,358,088,696,603,713,983,711,429,184,823,997,
326,125,271,691,703,234,549,435,539,635,579,484,832,598,610,093,536,950,232,
372,427,459,632,743,238,693,460,911,029,519,398,373,245,840,908,676,869,836,
985,682,755,035,806,682,227,131,571,116,710,061,692,375,974,341,789,903,885,
232,359,503,145,458,849,586,741,451,198,276,768,806,252,113,465,573,404,204,
199,942,989,546,893,984,329,395,477,243,808,935,731,394,220,932,403,780,169,
667,310,748,070,107,595,572,300,643,167,846,452,536,620,967,118,627,038,329,
662,569,251,762,737,428,724,311,502,726,080,586,196,312,734,792,192,370,609,
275,297,899,540,243,287,670,413,242,116,496,517,004,356,397,414,148,409,994,
004,230,413,327,042,285,990,542,971,807,796,330,059,788,189,893,503,028,930,
253,746,046,522,291,724,181,250,675,816,037,932,605,328,012,681,346,680,392,
458,629,229,391,966,857,716,543,183,813,882,135,828,703,319,806,598,818,356,
512,941,377,277,125,030,119,982,683,749,088,871,063,766,658,418,176,792,369,
035,285,123,870,561,014,718,024,537,513,669,598,401,204,795,065,541,604,690,
957,750,182,073,602,883,416,244,768,302,828,885,691,509,833,613,223,166,984,
618,606,883,290,515,399,511,090,976,350,967,394,617,805,196,911,428,460,716,
520,580,897,914,786,846,528,227,945,496,921,198,609,684,117,826,203,173,052,
700,332,609,511,470,905,292,048,873,329,523,343,188,690,476,039,888,432,218,
983,352,591,279,581,794,062,764,650,744,902,700,829,368,964,845,023,695,649,
921,363,685,307,168,726,481,915,762,013,416,524,135,015,355,303,902,549,979,
560,754,109,408,084,300,971,220,485,422,103,653,117,582,523,852,587,082,435,
947,446,758,687,287,267,724,280,856,845,510,622,399,107,748,124,835,407,553,
972,884,229,927,912,730,823,305,780,217,804,032,548,287,560,730,851,833,588,
731,121,065,883,901,739,493,669,070,970,218,057,936,008,344,893,705,105,342,
133,930,836,733,413,203,579,269,033,439,217,877,613,885,329,247,591,393,590,
781,000,501,231,530,086,173,451,221,826,917,426,165,236,759,051,857,019,701,
474,478,452,907,632,475,324,140,134,319,075,601,678,660,069,426,911,569,559,
978,179,964,926,587,948,931,815,617,500,205,100,135,881,287,062,991,709,936,
068,309,594,261,769,640,394,377,165,393,367,580,356,307,793,939,574,927,037,
404,799,090,451,824,503,620,481,789,923,733,057,453,563,733,679,681,004,222,
096,097,578,903,597,923,930,344,845,042,040,455,400,679,125,976,745,704,209,
742,915,511,406,843,570,772,965,526,772,916,139,542,964,316,138,450,727,206,
368,187,979,166,570,632,931,235,478,885,519,276,928,476,370,316,326,584,350,
087,387,747,622,194,100,497,770,721,862,440,378,655,217,336,570,446,914,581,
197,632,586,004,336,919,247,402,196,774,232,204,457,847,170,873,510,895,814,
964,223,698,968,399,779,251,807,861,824,505,610,214,890,078,135,911,130,553,
973,173,271,528,937,981,343,999,784,747,128,391,429,305,692,234,978,940,663,
359,279,683,152,824,552,115,400,272,333,528,080,312,120,159,911,549,587,804,
922,585,588,431,371,433,673,390,400,000,984,653,603,372,040,662,995,652,206,
030,204,918,723,586,407,939,760,929,463,697,359,878,595,685,322,121,881,558,
308,206,597,376,284,755,235,478,140,367,070,581,416,600,284,453,793,644,822,
479,398,331,811,430,011,461,506,147,744,818,276,901,814,015,102,988,496,205,
728,295,413,438,494,260,943,799,163,559,730,336,864,030,355,599,653,139,909,
821,228,903,862,823,400,039,375,574,866,237,142,712,743,923,865,117,093,224,
543,455,976,125,467,452,860,221,004,214,056,973,183,994,664,279,399,826,955,
723,117,431,756,779,467,254,702,427,018,781,102,799,898,414,138,286,432,052,
773,658,358,571,620,360,107,026,578,133,359,282,205,583,263,588,789,674,750,
131,487,270,930,967,545,761,289,863,224,810,264,762,533,074,505,821,278,027,
582,481,797,689,996,631,196,122,682,468,796,874,729,788,095,861,733,456,517,
770,749,664,116,535,665,128,224,465,070,950,137,291,841,450,728,509,638,930,
021,613,900,689,800,133,713,330,658,530,706,390,973,722,571,130,226,225,548,
524,144,960,969,382,551,267,440,639,728,522,893,119,679,302,890,127,800,426,
472,557,174,848,814,336,514,707,744,958,141,553,174,585,251,023,923,608,817,
850,183,423,922,916,079,409,332,141,553,470,680,562,524,538,069,463,154,407,
009,191,066,690,695,707,566,773,743,767,860,311,309,138,549,552,723,262,373,
575,403,642,521,378,660,281,873,399,852,308,230,406,764,939,936,270,628,836,
068,516,423,991,935,547,817,882,337,591,000,009,633,321,772,185,236,873,214,
949,655,760,267,696,093,503,962,732,136,592,890,294,416,984,375,320,631,591,
889,028,968,669,744,061,121,318,798,056,545,097,067,793,687,176,317,058,969,
738,335,853,810,760,679,107,796,334,092,853,138,084,892,687,535,096,989,062,
938,994,987,425,475,350,023,681,617,333,971,029,796,817,925,849,216,345,858,
441,394,708,155,931,459,162,991,314,078,697,805,503,591,002,688,263,058,171,
981,894,446,168,826,218,058,365,527,520,091,208,585,297,619,758,885,004,797,
887,843,924,733,273,947,464,649,077,791,605,561,864,566,062,073,774,561,948,
137,983,104,299,390,627,743,329,912,711,065,799,825,189,129,230,097,389,849,
853,464,891,982,185,973,249,859,578,766,566,950,147,032,098,044,446,046,237,
293,693,563,411,435,725,829,303,356,810,310,278,308,771,581,807,198,626,995,
495,311,180,367,336,049,234,268,919,180,435,106,667,535,726,719,667,350,674,
671,344,420,940,695,332,704,778,373,674,874,069,007,093,403,671,528,278,121,
674,619,326,492,858,287,126,280,502,354,895,565,853,495,634,976,892,026,313,
414,951,007,254,879,552,188,410,183,087,447,455,172,860,677,977,802,569,587,
804,448,140,212,542,385,806,173,541,405,808,246,243,629,088,728,748,205,561,
424,325,601,812,331,562,853,650,729,462,821,992,485,037,107,128,135,993,574,
558,739,814,636,360,454,996,788,468,429,203,002,504,031,217,690,764,664,859,
384,013,396,084,360,575,417,457,780,858,828,782,754,321,495,985,927,901,619,
107,696,049,460,760,438,140,258,095,033,934,888,573,201,521,581,624,786,307,
009,953,028,561,376,332,521,716,464,818,550,546,873,868,009,156,484,797,578,
224,230,702,745,547,116,204,615,567,875,044,592,437,239,087,007,887,030,794,
390,324,022,776,020,489,272,299,270,850,562,142,046,775,680,712,195,005,008,
826,940,658,953,518,680,923,083,031,888,888,916,255,078,102,561,249,194,492,
985,530,650,482,432,559,262,541,480,646,211,096,500,753,905,742,786,234,067,
931,128,206,640,403,701,546,375,162,872,262,028,357,160,395,256,814,551,590,
297,097,016,241,467,674,606,128,582,651,082,283,170,484,531,522,122,296,396,
800,416,511,255,990,684,499,217,766,600,841,018,420,800,734,487,206,630,847,
587,923,404,258,052,379,833,212,229,085,517,977,368,108,911,037,896,882,745,
253,430,799,582,368,930,635,739,324,033,690,870,654,170,244,197,821,665,467,
708,175,816,479,721,277,982,031,101,469,324,012,587,525,225,157,396,090,251,
105,927,578,166,384,989,655,205,617,111,821,602,556,560,886,188,876,971,305,
469,497,121,768,752,785,716,051,847,732,105,626,683,094,254,130,825,152,849,
654,134,151,838,177,734,041,007,071,163,963,102,236,773,062,827,488,771,681,
574,861,460,360,012,600,001,564,255,109,833,547,007,133,268,062,638,813,145,
310,123,133,677,008,928,224,795,327,452,945,180,970,414,770,170,925,556,527,
882,071,378,913,401,607,341,259,558,565,070,780,235,930,129,134,321,866,915,
281,528,490,322,460,496,235,375,917,906,555,896,832,379,851,627,893,554,490,
269,251,377,403,034,539,794,903,254,946,435,820,857,809,582,653,610,714,492,
338,681,093,749,954,632,334,091,000,744,485,048,516,862,723,453,700,046,583,
075,551,232,578,772,482,089,590,494,958,360,377,022,092,010,601,764,575,871,
309,684,938,006,943,277,423,489,214,684,942,731,653,888,151,898,096,895,404,
961,418,287,104,020,422,370,222,047,022,560,966,568,469,594,248,099,630,876,
560,610,290,422,906,908,335,090,231,652,137,334,146,373,925,372,412,190,756,
167,696,488,833,077,404,536,000,968,464,834,374,070,642,604,791,907,850,049,
487,023,885,051,749,465,906,115,070,990,137,081,583,427,651,744,124,128,133,
101,728,602,825,921,023,184,973,811,844,486,304,322,250,262,516,656,524,232,
198,617,055,007,745,822,497,902,400,369,243,406,405,721,371,647,719,736,417,
913,565,992,190,651,511,554,420,398,132,475,316,503,309,742,703,906,103,446,
385,003,536,759,798,338,983,557,237,688,402,907,183,206,803,799,737,198,436,
128,097,688,902,729,256,833,907,499,945,647,772,589,075,226,707,677,970,728,
506,624,933,569,668,362,370,643,962,863,137,426,099,762,844,874,603,318,808,
593,584,862,892,506,589,803,197,045,871,492,414,323,941,114,575,251,482,495,
129,317,499,000,305,059,978,713,430,446,833,967,749,101,237,052,054,794,642,
006,449,568,702,965,265,864,225,806,831,261,867,442,863,586,689,346,779,777,
877,388,830,206,926,189,154,895,069,068,865,448,394,187,281,063,073,496,544,
525,230,079,388,137,868,121,602,418,647,443,525,554,661,697,673,270,181,923,
080,144,954,444,156,978,150,893,656,296,163,000,132,190,206,945,562,340,810,
887,645,573,488,133,321,463,321,506,098,117,024,962,537,542,632,980,326,718,
906,596,302,504,302,805,557,803,375,029,179,437,062,213,300,448,621,634,349,
857,606,538,049,756,010,346,685,522,627,010,694,025,727,573,874,365,221,166,
835,290,256,637,535,769,755,400,713,961,404,816,451,905,027,894,285,271,797,
987,322,980,232,041,674,135,817,295,111,781,230,297,058,210,316,425,903,538,
685,825,377,939,470,307,042,616,284,859,927,941,121,917,017,707,292,621,141,
284,157,576,119,886,741,667,925,950,290,394,562,144,414,088,201,315,333,369,
726,569,213,043,475,140,404,410,410,567,247,292,467,497,291,373,219,710,592,
190,365,516,387,074,576,575,943,718,522,707,761,533,958,979,675,448,367,802,
778,984,255,936,086,661,528,167,323,222,737,342,625,373,913,081,557,194,318,
140,071,469,024,636,378,587,645,437,127,579,881,845,272,692,983,094,808,184,
299,061,916,097,604,083,569,437,600,562,635,637,656,095,765,486,257,752,209,
196,224,253,162,166,581,098,491,982,459,877,860,777,272,521,533,106,917,956,
271,577,154,637,794,684,545,440,355,898,911,484,373,927,577,061,922,577,009,
807,915,033,455,570,354,661,683,659,281,250,948,804,747,279,510,000,924,191,
200,716,063,129,223,336,375,172,959,588,175,468,950,506,771,341,918,610,313,
548,232,134,000,021,765,907,882,780,203,587,828,710,389,451,400,060,064,962,
727,943,547,045,407,647,122,958,976,344,512,947,504,981,521,000,076,287,954,
474,605,037,166,255,494,553,675,209,249,156,516,025,392,718,754,445,810,046,
289,230,587,339,932,738,205,123,318,883,366,874,952,352,406,666,756,656,002,
959,088,630,384,308,777,233,543,720,207,902,078,583,343,797,025,635,944,528,
527,325,901,724,428,390,739,877,468,518,331,798,647,159,810,680,430,358,122,
144,987,802,656,548,076,846,449,264,612,302,236,501,574,124,853,186,098,959,
718,873,935,131,603,281,821,668,171,986,000,883,798,337,625,000,867,986,330,
997,867,995,612,894,842,956,216,839,642,583,488,126,975,820,772,146,934,918,
507,194,352,780,204,326,158,230,843,835,213,099,933,716,296,014,437,667,326,
404,816,593,546,771,107,256,216,902,327,997,135,007,279,026,568,217,327,878,
730,379,085,513,662,353,359,960,171,631,755,617,325,653,926,041,323,427,172,
854,066,714,313,746,598,808,025,047,819,240,129,446,692,084,680,496,278,569,
441,205,942,186,181,537,205,946,679,555,485,989,600,971,016,887,739,925,800,
650,957,496,407,664,063,737,223,845,501,112,919,806,054,848,413,059,214,988,
945,016,194,067,460,485,674,871,109,614,410,871,604,148,553,402,367,850,503,
511,652,023,101,233,077,298,763,873,980,070,716,137,764,035,266,247,266,731,
853,627,311,564,958,759,957,261,709,698,902,754,885,986,064,965,073,691,319,
105,918,350,356,316,984,430,765,498,252,480,188,770,143,028,181,773,258,188,
406,995,609,778,961,091,485,106,008,513,147,218,618,050,082,538,795,113,066,
489,111,103,819,050,264,819,936,390,075,731,580,854,971,360,017,680,974,424,
911,568,611,114,724,963,781,452,272,170,232,903,959,114,127,036,042,421,182,
751,276,507,104,346,490,102,311,241,809,144,715,153,717,788,771,633,100,523,
908,983,397,685,897,328,349,294,900,292,701,459,845,531,577,715,672,873,237,
068,484,511,568,336,379,795,180,164,467,357,907,495,704,435,362,809,398,131,
639,481,365,863,714,892,470,304,294,536,969,997,653,383,094,046,251,740,761,
082,778,722,365,328,194,424,853,581,765,070,562,507,146,598,463,746,005,264,
327,450,751,536,612,267,429,744,942,023,665,663,128,578,446,691,278,570,865,
255,651,589,737,061,661,881,970,762,749,791,685,567,668,936,654,795,322,039,
132,570,479,199,809,983,772,940,656,899,021,810,438,204,779,211,796,255,647,
373,810,244,011,945,903,621,365,364,504,612,557,789,591,425,286,780,954,149,
213,545,713,415,703,307,887,746,113,058,485,623,703,937,266,385,352,959,764,
958,521,344,304,475,232,290,120,925,517,688,366,350,535,240,782,388,557,870,
948,393,539,239,515,797,803,108,534,074,664,210,999,898,733,482,407,003,354,
134,255,708,181,312,246,486,802,518,764,979,011,547,061,317,739,297,707,953,
903,030,987,446,882,129,782,359,594,179,703,854,596,061,577,807,302,859,561,
287,620,686,332,980,248,202,991,373,324,231,769,115,685,019,763,457,130,901,
484,107,817,278,389,856,306,315,190,298,705,601,382,300,984,883,111,386,705,
763,712,285,241,065,350,703,285,942,411,347,514,989,606,960,337,689,064,069,
708,034,873,280,891,931,276,863,655,841,757,599,355,118,988,540,135,194,403,
876,190,154,950,382,773,078,594,714,761,891,166,698,413,998,606,488,895,488,
279,019,078,968,944,989,037,986,779,771,486,633,443,348,942,172,123,140,307,
587,665,703,285,009,853,253,104,097,775,731,129,285,209,393,892,929,124,124,
363,376,238,783,269,487,151,899,657,213,911,487,012,076,744,020,657,397,290,
561,971,112,515,002,931,189,094,345,530,904,817,155,965,324,369,735,186,552,
516,116,712,266,881,297,165,441,026,003,323,762,772,058,034,662,936,992,433,
476,497,790,470,644,199,952,424,174,129,766,936,540,347,958,127,429,017,283,
677,249,390,285,558,280,638,603,167,867,093,502,800,561,458,928,620,528,837,
815,510,063,108,164,177,591,318,380,061,223,121,476,079,355,976,287,562,260,
327,986,330,299,963,860,845,710,394,360,528,192,503,417,449,561,303,427,907,
064,794,339,272,419,008,366,940,125,996,891,848,557,747,651,318,116,763,288,
123,092,979,880,242,803,144,187,536,933,195,023,084,582,346,606,823,946,120,
776,243,238,731,815,570,042,801,660,217,882,088,852,466,409,242,415,394,802,
773,560,192,820,331,008,584,325,100,431,654,720,936,714,335,053,160,526,855,
833,119,082,374,944,463,210,520,792,722,702,434,543,675,447,995,336,728,059,
213,217,551,785,979,232,480,610,265,323,690,727,259,121,059,981,831,568,900,
883,577,963,125,942,861,926,428,448,427,862,770,667,369,776,850,919,190,983,
013,730,029,163,271,916,635,680,687,355,083,377,766,250,768,388,979,372,110,
835,497,914,222,058,222,685,098,679,312,556,891,017,855,944,667,239,249,513,
471,189,973,947,375,549,246,917,379,586,589,014,136,966,731,892,640,140,436,
138,413,975,805,913,056,573,212,619,297,264,697,264,517,198,258,617,330,289,
835,003,896,899,242,362,194,729,646,563,883,635,022,193,900,549,069,992,805,
527,150,210,767,241,182,741,206,819,542,920,608,848,771,533,773,122,866,272,
721,828,578,062,943,996,950,975,158,197,526,296,291,173,912,678,484,698,414,
572,129,236,738,560,537,556,688,124,619,661,910,467,358,718,613,451,579,478,
213,339,411,094,651,858,354,502,391,253,947,663,690,167,640,464,970,924,994,
616,386,301,999,340,016,353,829,242,438,118,066,067,446,396,303,668,300,529,
856,285,936,576,989,255,584,032,789,453,233,565,981,949,674,754,360,052,491,
970,688,419,848,777,243,408,568,499,908,849,445,614,860,535,120,837,314,664,
178,579,966,302,212,342,234,918,585,622,646,023,353,311,519,084,117,864,334,
064,769,445,041,769,926,629,242,333,789,204,746,336,020,236,414,766,713,267,
957,864,218,993,746,397,689,313,711,937,230,673,928,856,967,913,830,756,870,
087,129,098,619,956,440,591,001,397,940,431,061,135,133,374,600,016,638,617,
710,388,541,693,954,599,137,622,777,711,169,150,669,221,659,046,044,944,570,
156,763,910,576,691,984,150,084,302,916,034,870,145,486,049,332,843,041,798,
366,489,807,773,471,327,466,180,133,329,327,855,037,003,390,218,192,560,471,
757,316,195,299,976,506,972,358,827,944,256,384,916,805,059,245,599,820,428,
836,360,211,770,102,475,110,877,449,131,326,899,550,986,013,969,893,816,135,
488,515,470,485,752,846,421,230,036,504,440,475,516,401,695,839,262,998,520,
015,552,151,080,550,642,731,263,466,848,533,498,919,461,562,454,931,572,340,
847,445,791,896,614,297,451,170,103,306,680,943,963,829,537,961,848,991,278,
147,049,128,663,077,584,874,039,460,318,514,865,262,276,821,893,314,238,756,
046,543,578,275,915,742,275,831,131,466,476,190,928,736,858,877,420,112,895,
526,962,916,920,456,930,266,706,326,820,612,764,042,490,530,508,914,170,650,
923,074,786,079,818,278,747,318,187,930,404,180,452,135,388,619,531,293,631,
488,477,017,534,420,831,252,493,834,376,637,431,679,954,221,008,111,620,625,
861,790,666,440,541,295,460,016,150,166,547,586,181,656,775,670,783,982,038,
237,856,331,788,313,045,162,358,305,849,301,536,191,094,508,858,225,152,765,
914,042,671,856,106,388,724,895,778,567,749,941,605,326,760,766,972,700,753,
672,796,908,055,540,359,695,336,616,395,772,227,050,877,410,162,592,833,016,
677,473,359,569,598,547,347,655,525,240,826,756,393,096,120,323,306,614,186,
654,016,655,292,872,738,567,235,121,038,861,687,166,077,769,442,611,484,883,
950,248,802,648,782,500,410,647,614,492,954,866,718,590,317,535,671,552,877,
247,030,140,668,672,245,312,412,708,043,968,163,877,790,836,541,078,550,366,
234,634,571,536,215,537,715,449,706,264,979,707,685,540,203,515,384,949,929,
103,254,890,210,232,894,555,678,549,456,400,220,025,111,926,988,728,227,489,
186,015,668,400,290,101,984,427,230,137,031,721,574,326,157,559,736,687,814,
389,405,512,946,388,151,068,913,356,204,436,676,609,787,619,180,967,170,295,
671,824,090,052,076,592,729,249,062,364,070,414,076,314,124,144,546,319,102,
675,282,388,550,842,215,807,066,483,372,123,235,297,275,380,721,151,288,943,
911,677,856,129,966,313,473,078,486,847,504,675,633,829,484,544,882,723,019,
349,310,133,078,205,507,928,490,758,864,866,209,490,534,859,852,952,468,785,
177,054,909,422,311,007,410,838,406,694,060,017,619,854,750,868,502,148,377,
422,767,999,838,451,658,112,162,750,402,345,964,437,975,984,468,079,686,616,
215,289,153,293,715,833,657,230,424,157,736,460,198,706,230,056,328,868,123,
332,849,861,326,354,959,610,873,240,041,261,520,691,261,032,641,580,021,111,
715,788,267,267,340,134,086,180,874,904,224,087,797,087,713,846,979,864,328,
350,152,887,227,866,376,524,480,345,164,011,958,275,561,900,278,408,652,159,
051,063,551,060,880,145,970,192,509,549,577,615,479,389,475,161,900,382,354,
516,266,788,870,450,530,716,771,216,943,222,616,146,427,377,843,592,101,145,
018,896,671,694,012,949,009,639,473,671,909,919,836,065,437,258,139,267,846,
333,588,590,196,609,481,639,952,343,262,988,244,185,357,634,953,337,250,834,
750,932,554,218,705,556,985,746,097,806,730,442,060,316,474,142,431,722,785,
660,287,331,139,016,114,007,292,349,422,403,646,199,706,132,313,764,080,758,
143,228,054,175,939,846,488,753,908,441,352,968,839,190,639,927,739,547,299,
509,943,670,236,631,417,831,145,080,024,552,048,927,768,477,002,851,395,202,
591,554,311,220,560,144,350,720,659,655,613,656,124,796,941,491,869,699,189,
547,275,779,034,835,183,156,444,138,981,194,238,973,546,480,164,882,863,736,
966,182,200,243,250,417,243,788,410,282,393,863,383,362,571,809,618,681,138,
394,496,326,998,546,805,152,026,344,611,542,463,666,524,927,288,157,043,248,
905,360,425,421,663,553,437,180,784,988,122,557,575,017,443,942,902,590,449,
586,455,179,939,500,243,306,551,148,377,855,239,983,760,478,838,468,418,094,
270,583,385,932,223,825,559,708,307,711,503,692,196,230,590,718,517,723,574,
157,340,916,203,776,519,592,459,480,479,059,970,925,951,462,564,026,024,082,
397,767,616,798,456,741,652,764,843,616,555,301,822,705,927,381,922,134,230,
505,208,243,650,846,398,820,360,110,120,618,092,251,939,250,411,781,387,517,
334,123,576,232,357,321,352,581,079,174,576,779,762,324,485,320,730,284,061,
972,583,310,237,634,240,943,440,694,356,021,004,954,660,114,636,822,488,835,
157,162,247,432,691,796,660,244,887,555,947,136,456,875,237,473,040,334,305,
805,499,099,810,054,502,215,500,844,955,439,288,524,551,645,235,153,974,432,
977,218,973,871,620,531,898,824,086,041,975,782,535,411,852,217,095,792,577,
739,601,421,246,110,911,382,199,271,373,382,558,653,708,296,819,354,742,241,
843,333,945,502,882,073,754,318,866,153,053,129,625,551,379,683,030,544,615,
882,129,017,193,438,248,257,895,026,387,347,188,917,027,824,108,188,191,944,
871,860,981,529,332,319,706,485,491,952,815,271,421,625,892,867,220,103,185,
509,350,680,413,825,117,799,593,237,014,225,777,418,150,917,957,872,693,937,
724,188,303,467,777,913,059,108,713,050,298,841,318,124,655,889,729,339,695,
006,883,902,522,141,689,273,445,199,738,374,828,947,070,659,539,099,830,346,
053,866,749,300,383,854,002,479,822,470,232,033,360,504,539,538,650,090,747,
235,410,209,129,600,511,985,163,225,721,688,068,233,828,950,492,270,712,043,
841,563,912,641,414,871,447,204,089,935,610,033,643,853,516,853,080,071,448,
378,033,525,754,229,188,095,809,280,659,330,315,432,131,996,341,930,034,461,
043,017,088,217,189,632,998,155,064,766,155,413,543,878,354,799,794,286,368,
442,761,428,016,587,809,383,549,279,397,665,321,643,312,180,565,190,143,497,
043,722,597,383,841,281,962,428,623,949,681,591,202,386,027,439,983,889,029,
269,092,907,353,661,463,590,538,193,199,812,561,852,911,564,935,508,179,551,
407,707,927,725,052,449,050,558,498,410,163,664,869,419,833,679,326,631,141,
359,262,537,749,283,988,974,184,830,096,700,333,071,094,467,899,099,390,233,
353,662,688,190,693,309,920,425,969,815,793,978,406,891,180,874,153,036,813,
531,281,518,422,929,147,418,078,334,746,052,028,282,059,608,272,237,807,986,
939,467,695,712,211,620,946,021,751,509,372,277,028,665,203,945,514,571,960,
395,385,281,325,347,880,952,823,373,777,175,701,702,446,240,894,156,416,354,
046,863,300,010,046,307,287,469,403,361,387,153,914,177,177,793,838,722,954,
257,072,456,393,037,731,329,394,964,547,089,099,848,938,862,891,061,348,622,
842,557,271,405,107,709,735,869,123,657,893,363,272,031,964,895,803,909,084,
724,042,360,174,150,388,586,682,789,527,962,066,550,067,447,757,008,423,615,
386,242,439,400,741,920,226,655,952,532,199,842,879,272,241,994,994,442,842,
737,134,430,036,245,312,223,874,050,366,396,143,532,716,278,338,578,372,990,
932,625,351,398,479,800,040,634,001,229,883,770,960,632,581,339,356,635,697,
708,005,063,629,325,688,788,621,832,361,347,591,620,711,721,007,204,994,531,
601,516,179,407,741,424,079,928,192,413,596,174,841,146,960,969,179,967,045,
552,863,109,579,579,384,300,238,255,517,159,122,239,581,389,101,460,411,627,
937,041,378,555,502,200,260,388,549,895,484,403,192,707,126,881,529,076,283,
674,240,992,906,154,877,075,741,503,652,853,922,071,568,479,517,580,381,485,
264,426,696,064,065,512,599,353,622,611,557,750,431,661,888,042,930,374,308,
477,472,939,204,138,577,032,349,273,074,032,868,500,054,877,469,806,250,848,
178,178,077,840,130,405,823,914,450,718,135,579,767,733,548,988,839,906,151,
986,968,901,306,064,474,674,353,460,129,097,504,405,928,976,985,742,391,833,
455,706,426,148,609,716,859,389,728,708,895,394,122,392,705,542,731,323,000,
226,937,121,504,278,066,232,966,560,937,989,071,462,091,456,302,847,592,187,
458,370,083,286,343,882,298,277,907,089,074,334,940,367,440,134,220,760,118,
568,001,128,467,312,383,123,799,793,573,009,789,041,687,748,711,593,523,289,
928,692,134,274,438,272,645,299,531,022,308,742,234,659,952,406,771,946,879,
370,305,952,754,454,915,073,086,420,430,529,832,134,023,367,437,355,783,690,
999,786,302,261,976,949,600,428,519,196,496,145,369,098,336,722,333,109,008,
098,237,804,982,452,823,893,045,893,199,864,496,546,134,646,604,147,844,460,
709,911,437,053,113,302,960,960,302,246,472,049,443,552,387,914,175,987,613,
202,498,437,272,260,139,515,629,615,668,414,381,264,993,356,862,273,454,921,
982,382,831,149,191,324,705,776,718,349,247,184,002,092,533,084,916,579,130,
624,127,204,188,806,640,569,690,512,314,882,985,251,512,525,618,352,743,924,
306,749,303,291,269,957,830,380,600,619,140,643,162,228,314,415,798,418,216,
572,367,670,440,154,330,340,321,238,251,958,787,886,585,597,745,569,326,730,
595,401,097,223,169,000,100,349,394,483,677,288,956,831,947,558,214,728,775,
995,314,619,599,316,651,017,177,196,254,960,257,188,586,603,369,209,678,116,
899,625,918,507,102,554,979,390,569,904,988,918,078,927,403,939,814,977,023,
177,069,772,275,774,549,809,558,019,705,477,881,561,967,152,778,079,180,263,
205,177,211,612,919,058,367,854,845,397,580,743,581,653,861,413,480,661,339,
586,592,539,416,623,711,986,185,520,581,949,391,525,165,859,876,401,617,656,
749,273,765,310,047,949,657,144,141,452,073,611,713,424,056,675,973,757,692,
110,942,434,190,722,665,407,176,223,481,051,579,748,890,630,450,166,840,558,
241,239,001,876,196,509,318,731,630,964,023,582,638,991,866,006,271,406,818,
602,388,361,743,046,176,090,359,054,018,108,682,995,079,086,923,632,518,840,
840,109,625,908,292,364,520,655,135,387,632,505,998,480,643,904,926,471,432,
815,880,851,462,324,667,131,542,314,669,427,549,321,064,629,596,064,268,467,
270,181,615,583,152,599,702,076,557,351,354,201,383,199,004,185,851,027,680,
121,413,350,823,413,930,610,051,485,438,139,754,587,001,228,146,127,860,414,
474,578,041,187,254,176,363,675,928,434,852,970,459,894,916,307,929,613,155,
245,081,726,078,156,673,169,469,904,741,960,085,935,104,629,687,554,408,401,
195,936,576,734,057,968,042,109,338,452,368,887,913,049,022,877,579,164,505,
775,470,881,374,829,627,182,880,069,014,262,318,159,118,700,506,411,348,358,
718,665,998,426,601,428,917,326,064,085,410,431,654,850,203,792,282,269,209,
026,691,382,414,645,636,458,853,096,922,078,793,997,111,858,658,679,204,876,
783,680,101,108,837,929,117,444,763,787,555,207,438,966,846,833,899,227,490,
182,483,580,197,487,709,333,223,727,306,758,409,539,045,173,081,375,378,756,
309,048,971,179,672,580,602,234,676,916,863,322,793,346,933,413,295,894,962,
684,633,231,438,023,349,556,581,444,949,307,417,860,573,163,368,048,826,355,
484,022,626,042,010,411,705,273,186,323,869,542,696,975,604,308,589,464,135,
936,203,268,377,207,712,578,130,111,464,531,785,382,938,737,352,248,913,514,
254,750,611,414,425,451,896,409,364,829,634,163,183,941,953,151,889,859,799,
440,136,067,297,883,845,386,961,187,166,379,964,818,482,950,260,427,474,150,
939,434,146,650,008,263,840,816,513,339,892,994,357,485,581,111,659,973,580,
394,037,108,230,937,658,569,439,461,842,178,419,564,126,558,329,996,732,624,
135,125,310,768,352,429,078,265,824,612,064,771,229,426,064,255,352,063,106,
336,658,973,330,083,042,127,554,386,450,488,658,655,053,292,332,509,945,632,
640,335,233,090,889,239,866,746,730,145,637,558,738,403,709,691,160,744,510,
700,100,115,998,585,883,269,121,239,675,975,334,886,463,035,336,109,369,378,
460,908,869,949,094,651,522,222,693,895,405,086,522,063,465,046,240,610,673,
654,319,632,236,222,952,402,458,058,675,554,371,636,025,501,253,875,973,572,
947,693,186,767,288,907,700,963,804,999,932,779,969,281,427,634,264,529,206,
230,374,401,718,833,322,499,079,983,397,536,192,271,241,275,036,814,761,710,
566,504,431,036,292,802,585,111,904,720,524,444,692,798,240,931,988,537,014,
758,121,204,145,300,335,444,860,720,694,937,740,019,495,054,953,336,346,747,
187,901,883,677,457,525,505,058,875,694,001,870,911,835,137,289,273,031,425,
420,967,544,550,277,030,513,435,914,900,610,902,254,138,186,442,116,544,734,
572,031,950,467,808,898,947,880,228,815,216,543,242,907,693,031,153,189,840,
759,412,441,897,500,806,543,077,637,352,971,132,350,054,714,321,694,462,030,
537,204,101,137,624,569,256,701,146,010,427,982,952,966,311,892,563,412,807,
875,684,823,425,838,318,663,463,074,939,345,486,092,816,882,370,908,426,006,
861,284,074,130,183,081,590,567,998,489,954,573,298,964,327,478,976,017,952,
889,947,540,908,064,860,215,782,567,102,123,749,772,229,076,057,181,426,122,
946,155,823,415,924,585,753,166,171,486,584,983,167,356,189,103,439,747,417,
137,022,041,139,421,494,076,970,278,843,499,829,785,500,165,056,207,086,048,
207,921,819,562,133,061,430,301,895,107,242,574,484,418,714,633,762,584,182,
550,270,134,804,175,177,870,022,780,262,768,374,597,944,835,507,613,549,785,
608,620,176,863,258,681,336,890,306,111,051,829,472,064,172,105,376,973,338,
618,101,523,370,255,592,964,630,084,981,411,489,572,302,093,634,257,851,787,
208,832,896,192,192,980,025,105,474,727,610,790,555,639,715,567,965,334,462,
270,258,097,925,647,074,289,689,005,796,954,534,540,565,545,618,392,439,661,
538,833,555,281,869,557,856,271,534,433,853,556,304,023,673,353,690,506,109,
039,851,014,196,046,199,918,418,648,924,038,880,888,215,757,570,856,989,332,
676,430,911,444,700,799,591,895,150,373,717,838,937,968,593,062,356,076,516,
056,441,393,527,599,900,328,175,787,746,897,164,044,802,322,734,755,248,104,
524,009,333,020,328,337,807,267,202,322,208,990,448,305,203,750,852,031,096,
417,522,391,772,982,206,725,860,185,696,973,288,720,359,439,509,906,463,015,
506,781,983,408,994,741,912,521,763,631,229,196,577,932,951,165,202,417,520,
411,137,639,858,027,084,763,057,223,046,089,877,484,712,770,809,900,383,840,
101,145,782,574,198,669,238,412,949,845,409,762,348,197,283,100,820,579,927,
969,867,486,519,369,780,640,202,037,671,284,963,399,872,113,945,831,556,768,
038,753,582,710,745,448,201,199,969,785,962,427,480,764,208,960,520,425,348,
580,071,209,190,752,582,772,718,420,311,333,776,583,883,580,030,035,132,847,
422,771,981,143,975,694,120,908,553,090,340,897,169,072,126,627,388,717,040,
854,645,839,096,102,747,918,127,299,181,646,643,029,604,996,950,604,787,381,
669,950,824,024,353,208,757,148,570,526,876,155,389,360,634,763,440,679,778,
594,190,212,799,276,192,739,632,505,257,400,659,677,913,548,568,029,621,021,
909,740,527,263,206,593,386,770,287,760,526,316,409,416,408,584,196,083,251,
424,445,751,070,552,614,168,611,709,308,500,585,064,235,034,511,612,673,826,
492,984,989,209,330,830,399,119,084,500,777,282,102,344,677,758,300,338,793,
468,534,735,471,887,891,426,264,932,394,598,125,291,230,094,080,929,893,433,
446,643,119,861,563,554,930,308,706,733,281,791,730,869,410,367,063,238,547,
059,269,754,189,528,943,022,558,731,197,868,833,595,633,520,362,922,278,091,
469,441,971,464,650,092,343,271,553,496,636,932,437,339,643,075,708,580,885,
814,425,933,752,130,414,792,309,061,947,035,144,389,879,721,692,669,280,807,
600,634,256,649,402,814,025,489,784,246,735,670,604,764,634,747,139,120,799,
392,393,368,950,262,284,919,479,641,090,515,788,979,929,315,192,953,413,855,
462,898,629,215,596,732,464,812,061,021,232,161,014,434,387,190,834,519,353,
916,089,330,390,838,431,787,776,709,131,166,267,336,099,039,287,589,640,870,
283,340,992,682,812,696,762,439,574,039,050,833,149,470,779,507,090,766,767,
567,866,507,098,841,728,476,993,303,258,342,251,787,765,694,951,978,298,138,
904,904,256,001,826,603,497,651,331,782,295,952,280,161,462,388,806,255,473,
748,647,834,960,048,825,645,070,947,637,180,953,110,982,454,734,321,582,831,
537,231,448,076,740,671,954,830,173,399,834,552,520,999,254,959,797,744,918,
984,808,234,805,882,262,157,841,692,809,641,755,125,903,106,743,032,075,780,
341,518,688,244,931,488,550,544,255,975,883,765,079,445,796,697,162,162,400,
515,705,006,202,955,326,613,065,018,153,884,936,239,434,181,008,605,334,672,
680,949,716,628,331,693,058,646,478,858,975,317,733,262,309,607,503,393,337,
637,936,051,068,417,308,378,243,821,867,647,734,472,240,886,528,112,400,894,
793,323,551,716,393,013,425,017,517,019,677,910,315,603,554,911,056,177,564,
650,115,308,739,643,566,729,550,963,167,661,353,273,894,422,816,762,160,066,
598,626,304,067,258,440,771,492,492,297,881,102,093,899,010,406,678,750,327,
716,334,611,479,408,005,172,452,563,228,277,655,316,107,903,869,844,343,441,
363,770,482,282,666,309,219,305,798,343,726,884,462,754,874,157,858,353,631,
940,801,456,928,336,273,502,564,359,611,533,612,808,492,897,200,316,655,299,
824,343,194,684,846,899,534,692,282,985,723,538,724,718,134,096,243,567,695,
838,789,606,800,315,550,359,020,917,782,899,301,958,283,978,604,716,481,128,
981,120,144,988,858,995,929,893,724,122,543,803,704,089,601,100,402,319,490,
519,504,533,193,243,335,538,440,921,334,532,482,304,095,275,894,687,996,637,
442,407,891,544,326,030,835,216,344,743,351,649,220,678,088,019,408,333,240,
897,771,780,825,242,916,688,591,378,339,448,349,984,581,484,257,279,218,462,
141,866,019,184,922,288,037,121,452,979,863,773,453,496,005,706,158,044,933,
881,652,948,517,729,248,115,254,576,458,385,801,238,775,410,996,576,586,485,
032,121,770,143,940,850,361,488,851,892,523,993,540,901,262,225,320,973,356,
109,818,346,843,075,918,020,030,680,405,175,940,830,990,840,208,576,195,964,
875,715,786,339,156,859,040,414,871,624,980,132,478,561,670,507,499,376,747,
383,671,006,216,516,652,187,224,229,473,969,694,515,546,941,317,193,480,383,
224,182,491,276,386,862,147,435,245,429,694,744,480,493,706,179,728,816,918,
883,574,651,712,462,400,796,979,640,144,980,418,322,754,074,239,557,225,962,
056,805,499,345,743,247,662,563,096,131,295,675,177,843,571,977,395,211,299,
499,305,820,922,037,099,921,486,036,937,018,808,469,354,377,655,220,556,078,
328,595,058,813,880,186,078,160,450,334,234,057,237,726,440,543,268,801,951,
359,779,744,322,140,736,093,411,263,949,997,677,586,638,444,751,056,244,670,
021,786,319,517,115,656,081,789,667,094,295,708,999,169,167,144,283,668,494,
952,474,217,252,546,311,670,608,814,328,145,949,519,021,696,076,833,995,425,
737,177,982,000,640,346,412,439,280,064,630,250,844,302,838,135,078,681,919,
951,950,116,722,317,986,844,977,448,591,658,280,364,202,652,611,333,155,295,
375,633,161,726,372,527,605,206,411,542,959,580,081,363,757,459,813,125,918,
415,084,963,595,554,978,927,836,722,584,890,660,660,613,824,274,248,605,479,
748,330,131,598,596,495,052,342,839,936,923,744,597,828,081,002,971,322,325,
806,248,021,042,406,916,381,094,229,067,960,022,362,979,461,767,766,066,532,
793,767,724,077,751,618,455,194,689,096,792,192,667,022,005,310,080,155,292,
712,302,221,638,193,767,447,707,412,730,622,699,084,685,438,879,862,366,026,
189,894,463,377,653,357,788,064,386,663,875,970,765,467,701,383,490,282,764,
693,482,771,139,378,261,401,300,636,011,413,956,143,130,689,261,767,862,783,
288,840,344,384,731,408,468,754,183,450,859,202,438,192,216,998,559,436,333,
253,692,120,822,443,714,373,363,620,910,345,455,575,216,224,483,889,624,874,
484,238,132,369,132,346,598,157,999,017,143,289,375,053,450,405,030,821,505,
790,554,684,328,987,472,133,179,744,127,204,891,572,993,073,780,453,785,698,
705,628,541,030,522,291,940,395,597,025,699,029,914,498,018,670,877,244,886,
705,172,894,975,648,334,673,933,130,716,628,782,504,757,667,982,253,505,776,
721,272,429,920,520,890,448,083,975,091,771,036,192,937,448,405,258,814,309,
212,143,973,159,063,210,386,535,538,338,474,797,668,013,684,047,976,150,957,
719,993,826,988,763,955,455,631,961,330,552,859,179,968,573,445,452,670,089,
987,189,742,636,579,790,037,025,241,839,235,599,076,010,477,555,270,798,432,
543,071,021,441,032,026,111,421,501,628,878,754,081,594,655,866,076,085,582,
407,067,725,865,464,927,899,972,667,768,690,987,571,770,765,971,379,071,429,
471,883,790,504,502,963,239,748,495,150,906,396,818,856,476,848,807,121,837,
802,638,023,461,663,759,083,093,735,209,402,948,708,369,045,187,802,039,937,
108,440,644,787,425,902,060,806,491,675,781,544,792,452,833,638,673,686,379,
208,979,352,809,807,630,804,159,366,394,782,514,815,822,627,303,890,898,472,
661,954,572,469,919,843,800,897,351,902,143,591,546,285,947,193,843,930,275,
915,523,596,901,024,705,362,826,765,363,194,148,011,422,305,219,873,329,961,
355,567,008,985,638,874,519,940,970,082,588,355,865,397,692,882,424,799,448,
327,947,661,479,924,319,453,287,852,708,517,177,134,428,844,533,261,960,201,
552,482,963,884,438,568,419,849,856,609,995,638,519,315,457,061,116,594,567,
685,931,590,760,018,133,526,143,947,642,763,111,827,107,499,863,833,868,482,
384,737,190,896,430,925,214,659,027,258,605,148,300,774,663,173,494,240,463,
384,195,456,288,160,018,091,804,563,509,488,201,540,297,682,642,726,961,733,
792,455,232,172,275,772,322,400,816,066,692,049,697,610,179,987,568,363,209,
311,158,265,882,151,979,261,301,523,468,357,330,796,052,907,598,560,728,911,
174,125,188,335,829,209,954,927,032,474,333,750,991,971,013,108,361,138,448,
488,731,118,935,424,073,785,505,877,639,132,560,390,885,938,831,652,680,319,
998,124,750,950,478,668,396,307,960,027,922,933,601,189,612,168,115,071,540,
651,065,974,528,282,745,259,680,911,225,549,866,120,664,809,642,144,203,726,
349,963,756,594,722,940,323,235,877,061,710,316,324,381,306,529,074,198,684,
111,189,366,641,184,115,051,761,542,869,648,160,716,477,743,900,047,808,243,
075,728,159,649,197,834,421,892,829,143,556,418,824,420,568,684,738,302,416,
804,391,497,468,669,165,589,115,065,395,824,228,519,159,302,712,449,384,309,
089,805,764,941,094,365,552,041,743,131,642,816,879,702,786,593,563,899,929,
914,812,366,071,568,303,407,196,904,319,004,588,753,483,155,401,553,925,828,
273,787,581,078,482,512,496,580,575,600,677,085,245,989,790,883,387,769,396,
776,077,700,605,044,013,867,504,906,860,003,659,180,074,087,296,061,907,217,
703,943,406,577,686,741,141,992,265,640,220,956,433,445,732,802,494,586,708,
116,644,450,902,042,654,388,744,492,950,817,763,671,201,039,394,051,008,109,
243,363,387,660,254,419,553,883,608,081,347,090,442,211,356,621,056,168,525,
026,088,762,088,001,226,729,143,034,810,402,494,050,058,215,360,346,072,825,
429,316,241,271,052,717,841,614,156,540,903,515,749,251,231,833,275,717,629,
405,201,408,945,738,773,573,736,840,529,997,565,216,698,303,571,069,888,368,
433,029,220,130,327,533,350,249,859,888,883,083,757,073,754,252,572,889,171,
215,997,538,751,581,753,713,138,564,283,440,927,596,442,262,255,769,713,333,
471,519,186,237,004,597,487,937,951,286,459,603,770,326,288,492,369,171,318,
389,825,744,545,220,540,943,792,052,788,018,839,727,270,432,080,285,318,596,
701,572,061,316,277,677,854,170,486,080,009,262,591,785,176,033,593,518,067,
885,427,071,510,553,229,451,115,045,986,184,788,995,658,468,416,230,136,465,
454,176,479,866,935,908,242,871,375,996,318,204,600,207,952,892,021,420,997,
980,774,087,789,823,489,655,098,876,413,445,414,828,640,643,372,880,940,263,
938,566,752,525,731,416,083,259,387,524,648,040,675,327,687,099,269,780,202,
107,882,298,458,713,016,516,183,295,216,241,951,501,488,779,734,820,615,826,
610,430,514,444,642,099,888,028,705,104,349,871,798,303,774,446,687,067,714,
885,374,641,760,284,255,320,124,315,267,861,290,048,782,664,361,333,462,838,
291,716,815,596,882,282,266,184,594,991,387,680,705,486,621,781,871,949,273,
358,243,439,783,807,081,766,277,400,396,127,722,016,326,563,185,525,536,802,
186,317,098,594,404,456,127,334,990,401,149,246,318,403,757,013,267,109,743,
316,529,896,140,424,794,971,749,924,901,136,652,522,893,744,153,140,661,840,
805,766,050,177,169,187,117,800,007,293,045,002,055,820,633,054,281,906,546,
136,877,722,501,985,259,914,328,981,884,515,608,556,532,258,942,882,155,707,
280,624,496,734,954,839,917,396,983,981,787,162,626,383,527,722,141,710,266,
042,522,272,674,210,700,443,373,391,142,870,159,705,894,283,966,951,323,754,
051,066,746,755,616,450,261,658,436,718,250,281,369,248,021,295,515,536,962,
436,001,759,405,206,175,403,736,207,238,801,130,509,187,152,902,627,311,845,
776,359,574,066,553,188,093,282,364,624,171,819,998,172,282,274,305,681,616,
864,504,737,314,661,892,723,712,882,769,353,831,237,267,882,893,659,390,379,
405,866,610,664,843,162,131,870,706,440,608,124,473,536,636,388,414,069,669,
625,591,353,326,865,726,296,382,314,905,107,519,577,419,557,013,206,214,826,
833,430,555,639,197,100,787,774,965,381,082,880,196,504,787,229,966,043,715,
471,721,702,662,128,788,344,664,404,448,028,227,805,314,259,973,130,109,231,
226,037,520,773,629,182,287,089,093,381,070,119,181,478,539,470,171,613,673,
570,168,478,676,410,235,668,151,842,396,459,292,276,800,693,376,618,469,502,
805,939,007,570,457,620,719,426,645,172,134,819,888,356,549,034,648,353,100,
778,531,039,413,238,928,820,500,188,991,464,215,666,562,574,877,850,004,770,
014,594,343,850,064,519,538,434,230,840,672,328,783,615,229,847,419,156,462,
650,698,938,808,996,978,178,372,730,982,103,010,177,598,150,872,474,359,747,
800,673,379,554,457,684,016,885,952,778,443,700,894,338,355,762,224,941,419,
214,010,969,299,106,421,051,981,160,467,958,179,806,427,517,348,625,505,450,
040,119,491,402,940,358,212,880,546,154,410,741,541,108,446,712,991,364,529,
172,208,320,146,887,844,528,880,829,132,195,916,851,098,963,170,179,680,366,
253,437,614,641,397,142,503,558,084,611,162,179,076,334,033,918,619,702,382,
786,715,636,508,249,117,419,202,525,501,369,476,707,403,994,361,117,486,187,
713,656,121,349,066,671,790,164,112,967,678,210,366,018,295,181,146,948,737,
267,909,958,938,350,370,742,917,060,208,883,899,868,884,441,422,147,118,792,
717,398,105,611,380,556,730,281,033,467,731,914,586,511,916,700,291,814,949,
158,607,685,573,967,568,073,999,648,710,601,265,895,666,879,278,683,403,683,
948,238,222,769,263,479,229,356,496,859,099,087,829,650,697,489,390,936,786,
864,476,450,810,778,983,573,687,014,229,353,316,753,783,097,140,970,913,442,
200,068,866,692,274,570,422,523,191,857,003,103,974,960,017,305,092,636,046,
310,325,380,825,559,832,138,824,840,581,559,783,074,164,778,689,806,040,701,
196,888,472,254,835,434,556,927,292,640,792,324,298,770,850,342,026,496,743,
648,111,901,545,136,315,482,561,002,771,831,280,595,456,938,669,002,143,472,
097,195,884,967,436,535,693,305,222,738,234,686,724,697,405,769,766,927,535,
252,746,373,607,908,247,579,936,022,599,672,089,843,834,026,745,003,962,379,
160,705,771,259,650,090,360,589,268,179,825,017,996,386,388,619,230,069,235,
762,483,826,169,717,668,867,239,814,264,419,919,885,441,580,052,893,677,786,
360,859,437,220,395,729,955,852,135,212,019,956,117,232,862,956,709,617,756,
923,574,315,399,342,818,672,019,950,401,435,201,565,884,126,258,838,712,013,
986,834,658,191,221,869,465,078,314,294,676,890,197,362,370,684,768,469,358,
958,508,598,225,392,091,271,234,489,527,062,552,513,078,481,197,993,536,832,
583,997,709,447,529,981,912,443,808,349,528,100,594,617,454,286,581,106,560,
304,888,043,261,784,091,325,997,669,037,180,469,355,736,152,095,753,075,457,
198,933,566,523,058,798,935,989,255,733,816,415,192,697,608,375,552,612,286,
859,019,168,970,294,251,986,698,399,753,336,215,652,136,365,215,865,103,958,
996,532,986,231,002,346,638,019,488,765,672,577,542,289,375,194,997,855,101,
685,533,667,201,232,848,346,967,382,796,450,785,292,828,252,536,782,707,756,
228,221,344,603,257,420,423,079,872,976,978,563,426,174,402,269,537,835,243,
978,530,201,714,964,166,142,102,980,383,078,704,440,716,685,496,912,392,520,
589,454,104,478,960,656,206,155,161,575,785,585,694,222,403,770,550,756,941,
939,556,471,820,384,115,780,160,838,498,036,677,549,449,787,888,629,259,279,
380,035,009,781,418,303,450,688,800,988,609,681,395,915,774,012,136,066,086,
878,235,106,723,421,447,412,261,571,056,669,164,275,485,495,573,420,675,189,
745,625,242,414,383,689,206,347,613,487,597,145,326,949,552,937,484,562,611,
611,569,372,487,692,061,881,085,913,690,474,527,442,093,776,167,584,322,555,
819,414,612,722,731,372,984,700,781,676,766,835,358,094,614,865,902,899,302,
040,631,901,139,481,658,239,322,613,479,423,401,006,794,909,035,230,400,245,
162,873,208,564,666,418,658,868,890,965,783,833,811,359,596,647,426,503,541,
173,109,918,339,511,452,560,915,907,575,963,440,051,659,475,880,312,441,108,
198,248,562,944,462,606,231,938,439,720,196,648,765,857,997,180,993,995,366,
403,320,624,243,931,743,220,095,072,304,364,843,753,877,150,191,221,560,400,
571,814,686,325,902,591,713,619,883,484,854,158,596,688,600,598,764,157,543,
173,000,878,191,544,010,285,063,634,542,496,497,801,736,784,504,789,822,377,
296,055,812,421,321,418,129,200,149,403,225,041,353,596,489,666,128,964,463,
887,856,614,711,960,965,670,453,210,414,725,640,881,476,300,467,463,208,791,
017,894,770,490,101,188,155,333,704,857,204,110,325,723,417,989,060,724,512,
443,643,056,775,621,869,880,938,698,020,937,713,134,279,460,556,488,401,985,
032,011,760,291,584,715,352,659,757,215,857,215,918,997,919,683,010,901,825,
271,429,198,788,950,301,916,279,357,864,493,065,561,525,530,572,947,093,843,
360,866,312,218,860,506,475,516,290,673,928,233,629,699,741,555,861,447,638,
788,439,525,226,133,988,717,237,695,049,780,614,893,271,550,111,453,138,875,
254,012,826,494,377,749,768,238,981,534,288,909,518,597,586,814,374,465,045,
143,903,956,854,720,511,807,100,529,802,813,590,912,139,620,988,587,464,088,
324,201,999,393,552,479,267,494,235,467,295,904,390,503,988,287,568,567,933,
054,431,147,876,087,312,979,253,520,172,001,756,185,774,372,970,273,441,479,
644,399,358,203,061,970,224,136,044,096,459,082,652,011,537,610,928,307,288,
113,403,031,269,870,494,930,904,159,161,630,141,675,704,559,816,667,262,406,
242,116,248,033,108,287,127,044,292,719,509,605,555,339,194,128,397,962,415,
699,418,997,346,434,093,287,477,001,653,088,334,415,014,490,870,739,199,546,
811,320,916,881,757,415,255,656,931,528,380,516,778,489,694,569,636,043,926,
804,163,355,606,846,777,370,004,224,412,538,931,201,552,238,060,295,004,270,
007,422,743,569,077,613,187,699,898,792,141,463,764,334,082,528,324,065,048,
350,074,824,404,938,711,992,865,553,003,421,169,794,617,244,301,232,479,616,
177,835,271,862,830,512,971,046,764,442,676,425,530,464,831,356,314,395,790,
092,894,797,001,930,369,903,404,447,616,102,191,029,889,111,765,314,586,804,
777,187,580,399,679,816,589,739,775,947,892,373,122,951,721,542,554,973,057,
650,481,025,360,638,231,531,337,415,624,827,497,407,976,945,497,014,040,019,
474,495,216,797,647,366,384,470,447,313,874,008,900,469,133,660,546,260,076,
285,354,571,292,175,965,359,440,039,992,180,805,243,797,742,545,460,599,030,
083,018,794,087,050,089,588,306,025,414,301,388,298,885,462,185,860,413,471,
848,835,198,979,840,096,050,248,416,493,874,016,145,161,669,150,350,277,216,
800,337,406,221,392,666,616,656,305,325,627,423,674,698,266,293,687,366,053,
203,131,115,339,723,024,377,425,382,444,733,638,783,242,395,942,191,708,890,
403,936,586,473,456,716,368,372,973,514,913,953,652,676,387,656,836,162,380,
836,146,881,051,516,993,768,319,585,549,725,585,280,299,914,976,143,058,255,
847,120,278,988,937,909,904,401,127,119,456,166,431,569,105,893,973,677,649,
702,891,755,832,458,422,043,899,665,641,923,676,738,063,051,463,864,817,523,
161,958,677,582,493,129,014,033,811,937,004,294,657,685,602,246,633,948,530,
772,865,365,314,737,031,018,727,495,918,052,778,998,065,715,307,819,162,043,
576,045,585,031,460,911,843,528,410,540,995,014,060,627,085,887,320,847,509,
192,663,597,809,470,944,872,314,492,055,614,143,589,711,465,176,779,797,726,
607,074,345,512,458,249,667,267,828,371,714,488,205,731,681,648,832,569,200,
167,814,532,677,809,537,418,860,800,816,133,061,775,242,972,525,583,592,231,
708,940,614,525,865,431,701,787,025,558,064,082,243,243,782,920,657,386,012,
134,071,067,830,081,781,709,936,357,813,427,492,489,204,127,077,129,790,133,
939,384,071,706,123,823,997,562,926,049,116,335,946,945,294,979,525,802,675,
248,398,287,643,990,810,660,995,221,315,300,834,860,481,002,298,076,906,152,
723,727,143,001,787,689,588,738,478,183,576,417,721,190,403,981,350,811,030,
966,117,713,626,359,158,571,288,837,032,474,583,885,002,239,428,251,411,852,
349,189,399,870,036,106,369,475,262,589,517,546,958,931,852,077,799,883,387,
138,192,573,009,135,457,888,086,086,947,121,800,957,521,213,552,271,695,036,
152,343,454,366,723,654,900,494,441,361,521,304,535,272,397,376,889,438,593,
233,028,895,423,346,867,558,236,163,922,470,847,031,963,462,085,867,649,294,
025,714,922,493,722,205,224,404,508,464,937,441,357,705,839,657,210,133,852,
361,191,088,832,926,913,430,379,890,224,717,833,330,865,250,966,498,463,220,
621,535,664,597,331,959,649,629,321,961,360,569,564,849,011,355,037,576,141,
379,538,107,593,326,433,442,604,640,410,377,730,989,699,386,537,533,295,605,
224,503,309,538,109,898,646,678,487,416,791,900,226,359,674,933,554,787,361,
585,915,342,814,635,178,353,004,015,977,309,419,625,089,095,603,339,872,394,
521,988,429,158,473,789,102,707,603,830,864,629,594,308,529,917,028,366,152,
370,754,023,109,913,925,978,245,865,089,614,237,526,264,684,301,826,275,921,
345,314,770,648,775,186,515,577,339,481,705,566,970,036,708,902,312,530,827,
664,864,483,560,657,285,298,094,386,672,808,123,878,840,697,063,706,052,810,
996,386,258,100,557,410,408,307,020,584,685,353,519,790,905,191,562,944,477,
893,664,837,672,426,854,030,399,706,381,105,471,107,786,879,100,116,171,044,
389,698,362,950,728,591,311,343,778,798,979,681,301,848,767,281,380,718,901,
397,866,135,984,430,211,501,363,129,801,787,697,699,156,057,184,902,825,962,
702,807,200,197,969,266,004,877,853,043,146,128,339,762,365,491,807,809,578,
040,209,847,435,742,123,056,140,251,424,991,674,602,545,077,590,968,868,964,
523,104,630,296,075,679,275,729,169,117,093,722,324,145,751,107,439,079,044,
956,347,490,997,450,226,685,874,847,182,464,837,343,774,113,284,938,306,306,
492,167,027,321,722,179,025,284,375,547,792,624,717,646,824,851,140,085,728,
359,321,556,493,889,185,295,737,004,340,181,784,513,614,001,588,894,374,445,
217,114,746,649,648,510,323,030,136,198,503,597,642,674,027,678,458,378,181,
182,530,938,105,499,088,031,575,091,501,272,455,373,950,793,827,049,349,752,
210,859,305,886,737,962,391,043,360,610,483,652,396,405,418,712,325,775,330,
723,556,346,883,148,375,834,978,583,347,123,953,651,329,731,750,343,165,052,
878,625,246,715,780,480,517,746,688,738,297,765,724,119,220,349,357,222,397,
412,435,464,801,458,532,629,411,568,818,640,794,922,041,201,980,913,946,033,
278,480,687,072,445,501,514,830,085,903,098,782,914,617,001,348,020,799,257,
613,491,263,341,950,316,339,790,885,268,982,372,973,187,097,144,408,777,097,
630,133,428,444,741,097,513,245,835,340,645,601,392,335,121,876,886,283,572,
330,682,019,369,952,209,474,808,976,558,965,369,619,104,120,272,902,659,809,
059,589,856,764,966,228,021,643,972,319,361,040,191,749,993,966,486,099,080,
910,140,917,922,655,180,388,881,983,977,763,027,389,404,701,116,970,243,898,
490,411,177,979,537,942,177,464,758,657,721,378,173,309,762,452,652,123,483,
371,173,538,033,130,365,339,600,874,543,316,405,949,168,600,518,264,010,294,
195,553,850,986,366,833,531,620,164,350,962,270,677,754,777,856,980,026,401,
477,185,731,957,824,256,163,135,551,159,067,042,514,234,984,135,836,680,344,
485,783,913,391,466,517,293,748,331,787,953,750,207,302,528,113,529,506,868,
671,102,942,445,454,275,326,883,334,567,259,777,325,636,979,922,110,310,375,
520,040,248,131,496,216,311,236,778,120,783,796,478,769,945,802,925,339,374,
329,468,112,798,387,310,348,302,917,887,370,914,453,328,166,731,082,780,890,
628,438,244,758,156,283,237,128,657,790,965,879,732,635,072,703,735,414,717,
731,309,625,380,547,115,345,883,908,271,270,242,703,482,475,647,530,268,667,
697,995,127,442,929,553,152,268,529,751,097,917,272,510,158,381,945,496,135,
446,873,793,649,943,050,940,764,001,337,162,175,583,303,735,100,848,965,251,
081,680,750,933,483,900,680,644,776,367,153,748,802,030,086,967,973,098,093,
021,419,591,839,142,426,765,625,214,150,455,659,229,092,091,395,439,008,274,
069,213,671,600,267,757,211,405,375,093,702,885,261,447,748,980,139,961,636,
293,161,488,266,300,989,570,185,240,863,787,891,513,020,164,968,244,013,168,
451,380,304,039,249,606,218,270,204,814,006,828,757,737,734,345,516,788,774,
937,348,682,390,065,791,926,953,654,673,475,692,416,180,927,818,748,905,092,
470,842,449,172,021,495,499,447,346,025,321,223,353,861,731,615,768,919,986,
457,088,180,243,040,856,128,946,221,375,704,751,600,133,356,576,300,896,856,
630,999,922,111,730,973,691,984,224,396,813,250,942,086,595,696,011,483,162,
209,170,911,384,401,132,991,786,415,236,788,301,284,103,812,147,587,104,133,
600,210,772,136,444,364,535,783,129,430,123,903,052,659,242,530,276,024,622,
310,196,689,682,481,720,148,103,172,883,138,862,982,123,664,084,249,490,624,
700,381,875,393,242,302,641,344,004,531,585,065,742,153,388,271,755,021,451,
726,196,749,168,108,087,229,417,887,293,737,489,719,770,717,419,111,877,251,
051,236,438,957,109,407,228,411,731,748,640,199,872,088,059,269,317,020,821,
425,877,633,796,656,007,605,065,882,141,880,340,206,404,002,550,154,815,211,
786,096,470,653,316,249,868,557,046,189,311,880,724,600,607,151,254,461,820,
100,744,122,696,000,529,042,810,475,145,946,158,053,749,789,307,443,104,500,
859,830,751,393,943,225,926,014,097,723,566,124,064,284,532,795,140,676,500,
939,974,695,986,957,129,586,321,817,694,213,893,367,298,487,997,295,657,315,
552,635,981,142,872,764,709,230,810,033,376,216,913,607,161,065,416,512,598,
448,369,022,073,667,816,577,778,897,576,630,892,199,959,830,632,256,859,572,
354,590,708,433,567,058,022,031,662,671,349,711,098,471,579,733,824,151,090,
193,197,529,113,643,628,184,739,593,098,094,410,203,195,942,478,524,761,427,
333,760,061,675,010,924,060,880,219,916,454,695,171,177,104,105,089,978,205,
068,759,338,427,608,668,469,946,917,432,352,958,012,761,759,462,588,249,791,
199,687,102,036,404,095,924,563,301,531,539,513,036,779,623,416,012,378,824,
714,736,464,735,399,834,389,356,527,623,411,672,654,869,166,917,409,350,475,
847,512,741,727,611,007,379,020,400,299,752,192,113,755,531,224,495,243,799,
625,256,111,381,429,163,623,134,353,942,756,318,196,299,487,384,357,463,183,
602,228,324,112,492,995,321,593,114,675,389,371,326,414,235,571,453,963,846,
304,892,085,218,617,235,211,978,592,649,088,659,224,124,496,460,808,941,686,
900,826,828,426,126,327,821,598,716,930,586,794,330,670,878,336,269,904,928,
575,216,681,523,402,058,215,709,814,827,223,529,524,534,520,841,178,577,740,
343,029,610,415,388,644,953,549,130,145,823,073,639,015,408,322,826,937,958,
192,633,817,494,324,488,004,351,690,013,972,494,024,353,754,353,189,147,142,
481,464,719,990,484,048,715,304,718,736,690,530,988,606,334,588,790,465,339,
131,248,164,932,473,960,022,170,368,545,746,758,058,533,113,596,320,788,121,
648,158,255,465,307,843,116,076,299,340,477,280,563,180,873,657,319,034,647,
622,154,714,121,510,739,371,560,084,523,452,936,624,260,328,151,689,128,518,
473,837,965,631,251,512,363,118,823,102,443,498,474,842,428,605,664,176,495,
987,616,450,730,593,273,029,842,363,135,562,217,022,249,798,796,540,170,244,
725,385,920,164,950,801,826,769,888,385,444,058,762,301,019,790,454,439,991,
846,994,943,884,955,440,166,838,399,240,999,981,300,885,878,957,859,057,517,
016,203,841,655,823,757,550,918,757,867,836,326,126,902,314,932,980,435,839,
907,177,842,460,985,837,487,062,544,306,615,066,851,585,940,292,753,125,224,
809,547,336,159,887,754,012,878,602,209,910,448,487,699,100,930,540,637,897,
354,300,914,271,509,927,307,482,862,299,374,552,049,202,184,273,781,019,619,
091,038,327,560,022,155,407,216,600,374,025,467,013,387,751,252,535,177,406,
208,836,900,029,784,915,024,941,893,283,139,821,863,183,734,213,462,653,505,
161,063,650,303,432,134,670,354,697,365,824,011,281,803,069,562,312,725,613,
364,965,023,193,274,752,033,181,814,777,012,742,010,992,148,133,019,147,400,
645,989,684,671,447,332,676,981,704,022,625,446,466,687,288,249,507,941,245,
926,103,885,607,201,484,500,495,740,036,169,513,073,273,058,230,123,028,102,
028,479,056,363,165,969,648,585,885,927,627,062,832,149,884,464,217,580,329,
034,364,896,754,452,008,190,202,764,497,434,510,696,448,855,535,322,308,826,
956,763,816,125,211,714,931,464,535,650,835,090,095,315,716,849,898,648,509,
030,429,495,450,837,117,583,464,807,382,020,272,507,584,307,334,002,087,650,
476,434,927,862,281,058,087,685,455,000,755,110,164,796,361,858,741,875,342,
842,064,265,861,259,004,894,745,507,928,857,812,669,343,654,316,365,382,153,
311,375,912,791,007,971,971,396,494,258,822,612,817,022,084,127,497,862,040,
035,265,481,234,045,206,250,875,882,750,555,218,424,500,756,505,059,749,409,
304,943,732,830,817,291,286,983,105,779,344,184,604,282,536,944,625,614,465,
053,669,424,299,447,341,846,085,612,424,311,630,277,591,916,172,570,922,566,
030,472,250,455,487,356,830,500,855,598,976,243,899,540,536,306,483,044,281,
618,578,768,923,281,134,087,848,900,109,323,741,700,426,557,151,432,867,615,
004,715,704,860,920,167,455,345,997,116,123,388,984,305,632,484,963,422,570,
016,615,781,997,997,037,899,732,380,462,142,873,637,045,200,440,638,263,411,
037,508,602,580,106,578,669,580,487,969,920,856,314,796,597,064,444,834,441,
143,646,812,244,165,328,499,445,579,216,005,486,293,093,048,696,487,487,288,
099,258,960,590,311,201,543,185,263,023,429,353,716,708,312,650,235,183,278,
518,121,484,165,165,601,013,337,550,776,334,288,629,391,418,104,513,050,050,
216,687,920,783,024,151,767,431,075,987,173,914,744,949,337,557,702,205,915,
543,213,269,937,153,314,022,266,635,145,434,200,753,567,354,402,647,812,267,
762,164,049,286,941,980,805,179,165,111,859,929,517,129,054,832,309,330,971,
214,549,807,944,471,637,834,236,609,735,045,492,660,639,999,557,699,609,742,
574,666,491,844,544,485,385,922,474,132,370,218,678,180,740,183,119,347,476,
021,508,236,529,029,060,286,477,700,804,115,877,547,323,144,552,600,774,507,
985,581,934,235,654,363,202,732,025,113,645,264,179,310,494,652,597,128,378,
860,283,506,270,809,256,337,679,263,611,415,543,685,100,433,927,053,557,406,
734,593,973,244,065,793,719,871,750,458,321,658,885,964,110,552,642,018,185,
291,795,241,972,004,936,086,720,902,178,140,218,642,727,442,567,037,981,664,
190,629,139,563,296,270,323,456,134,058,650,392,178,837,246,465,802,059,677,
291,867,738,460,140,770,499,222,367,864,572,702,837,220,256,831,603,451,018,
961,250,638,387,365,776,985,029,554,608,819,080,730,223,963,260,683,022,476,
961,489,099,016,830,195,972,963,087,901,891,583,898,293,015,840,539,290,463,
589,754,617,350,665,458,672,316,300,636,797,191,120,555,266,800,149,017,996,
225,461,118,611,251,662,035,237,969,696,422,763,128,135,387,503,207,970,256,
320,072,589,403,608,965,475,805,373,630,613,306,143,242,385,858,214,094,543,
743,576,949,491,368,378,197,197,712,195,261,415,416,528,968,954,991,150,170,
971,132,920,951,556,818,982,348,982,744,501,044,715,871,129,987,949,195,583,
706,187,037,343,718,334,077,826,990,817,929,144,777,380,287,438,535,500,912,
512,526,247,870,239,769,924,752,215,810,407,744,352,067,844,404,907,592,793,
443,385,958,301,222,207,101,518,292,411,282,267,173,235,137,658,679,140,240,
949,224,893,476,249,671,248,349,009,885,660,276,224,504,524,318,083,327,539,
371,224,342,644,856,088,221,215,402,804,166,528,643,660,882,799,025,806,447,
134,129,789,702,618,175,688,315,168,231,150,023,646,281,946,768,448,640,719,
228,649,926,015,617,310,474,261,108,721,480,803,322,433,251,706,196,567,480,
213,773,903,541,780,548,665,527,238,383,926,140,853,806,824,182,637,212,291,
818,332,909,558,908,088,596,762,944,736,604,947,963,048,497,742,223,541,584,
086,111,625,109,279,097,520,224,544,155,162,568,072,022,486,250,055,734,775,
555,255,893,823,466,687,618,388,847,623,837,307,330,482,048,536,533,309,478,
452,830,916,833,895,923,649,094,686,073,494,829,296,682,373,152,059,089,195,
195,672,324,855,784,932,654,510,557,689,810,090,464,151,681,636,287,798,007,
007,189,183,366,927,782,183,463,789,120,261,456,650,503,815,149,822,448,445,
209,908,073,825,770,323,761,875,373,975,114,287,434,355,363,868,280,558,899,
838,452,402,651,276,209,345,960,201,020,593,798,923,564,858,097,587,386,583,
521,651,837,206,358,714,550,549,078,862,849,900,990,279,349,326,241,292,441,
797,367,471,537,820,179,563,385,704,488,957,744,231,093,419,078,216,165,963,
797,651,264,505,650,585,431,211,774,729,536,937,620,397,622,451,865,833,757,
963,343,999,622,613,572,276,657,496,094,691,564,773,347,825,330,138,555,778,
991,458,731,522,473,827,034,659,912,571,905,049,144,502,963,542,270,326,204,
384,645,556,597,424,889,157,742,658,317,720,850,495,022,342,450,485,798,758,
906,272,239,775,445,506,266,184,426,072,374,466,656,557,291,517,288,471,709,
749,352,143,248,516,802,215,336,017,786,362,668,993,941,077,042,977,880,972,
217,066,574,627,988,711,520,637,686,500,674,057,785,217,787,383,040,970,558,
873,597,128,721,700,184,690,120,595,659,700,567,699,216,343,024,162,996,925,
065,772,469,495,920,154,712,343,321,938,632,117,289,502,205,683,920,448,944,
016,068,710,572,833,735,158,022,776,170,345,331,145,317,699,297,396,070,275,
353,284,542,833,547,902,460,553,978,137,232,207,687,568,369,731,797,883,614,
961,504,819,301,495,616,566,039,004,233,040,252,257,220,251,838,002,929,819,
613,864,368,989,590,253,292,744,868,258,523,493,731,575,014,613,077,408,358,
976,954,443,949,047,019,165,286,827,549,081,924,521,579,267,319,451,758,474,
461,757,065,139,375,831,475,115,857,672,572,977,520,248,535,167,000,319,110,
374,518,680,128,009,696,835,399,428,714,113,422,026,408,594,881,661,542,893,
226,572,847,425,392,352,682,637,821,716,196,426,892,702,122,813,833,393,548,
166,883,131,055,443,224,809,976,172,104,815,275,151,274,667,244,657,675,130,
195,451,670,902,020,213,092,628,191,670,186,788,938,179,855,511,607,067,321,
281,255,347,728,766,908,250,015,574,844,575,512,322,130,801,655,392,772,950,
750,178,207,883,643,107,293,065,541,553,750,734,700,831,306,598,056,585,187,
239,609,715,038,822,020,817,467,299,672,454,788,275,256,420,433,572,086,383,
076,204,522,902,948,662,907,455,810,506,109,518,585,674,806,988,922,745,639,
940,509,938,782,540,524,125,174,865,785,130,791,606,507,469,470,800,779,392,
856,674,349,134,356,283,242,342,599,784,242,745,756,859,045,003,099,318,076,
531,936,179,141,041,147,385,994,172,817,956,260,935,219,045,262,855,651,924,
287,138,141,664,219,438,089,373,799,181,822,488,128,198,199,082,367,803,553,
806,685,218,664,404,427,703,796,180,279,610,139,639,985,242,548,777,758,638,
992,276,801,691,071,953,222,276,895,683,767,328,686,316,413,083,522,277,229,
337,878,636,824,081,859,082,347,244,206,024,075,428,411,140,958,439,199,628,
162,233,146,894,952,169,086,165,881,468,656,407,775,429,441,340,016,552,538,
379,790,691,057,730,976,277,022,394,710,178,999,458,229,404,229,932,044,897,
741,132,488,836,402,204,421,846,670,439,008,019,683,117,344,336,136,069,020,
649,768,814,341,710,355,292,738,113,845,340,074,610,821,501,666,682,945,161,
513,899,893,817,294,201,393,953,423,471,346,785,916,635,069,771,338,478,821,
075,643,765,193,805,675,176,658,770,754,021,369,131,238,542,411,803,757,229,
605,124,332,708,192,726,410,926,562,017,842,315,860,075,021,794,749,214,425,
389,768,570,128,224,143,131,891,584,860,211,074,031,880,585,373,975,660,582,
206,713,472,972,811,536,404,913,643,666,746,225,678,717,173,339,505,280,108,
067,173,863,480,241,676,414,738,811,850,348,420,573,878,549,802,687,418,384,
612,813,320,147,286,743,115,987,113,742,335,942,488,139,140,497,638,530,589,
838,711,207,333,515,359,382,556,851,862,832,080,434,057,762,486,493,501,105,
970,306,510,313,419,936,297,590,974,490,250,065,012,530,920,539,072,446,208,
188,254,706,645,622,171,798,874,467,058,839,248,436,293,663,356,026,455,504,
414,759,582,257,495,025,474,532,072,281,893,094,837,483,241,272,155,122,447,
549,499,449,993,509,360,752,629,428,739,869,149,574,379,957,708,320,939,831,
054,728,445,991,878,616,776,425,180,724,258,821,642,792,192,994,384,518,676,
607,536,026,280,709,249,751,717,081,052,823,462,957,790,640,185,617,593,985,
839,137,024,204,426,356,074,165,603,194,466,304,525,788,852,764,645,408,293,
317,434,921,884,831,397,702,825,622,680,268,338,448,023,112,663,218,381,707,
424,561,525,974,785,509,886,115,788,164,845,582,331,212,755,853,664,674,700,
910,469,346,357,562,786,454,985,119,656,311,927,388,531,473,380,785,824,679,
964,371,092,327,004,851,672,467,562,535,825,652,666,614,058,388,113,212,758,
757,690,188,243,130,974,326,099,221,883,027,974,856,441,868,701,769,558,731,
923,219,562,307,670,146,652,053,767,880,330,657,256,944,604,399,194,062,778,
827,708,163,825,945,552,079,056,753,374,898,805,667,855,057,963,524,742,803,
608,602,247,815,467,439,625,031,865,235,553,765,122,321,382,018,333,143,163,
757,572,437,253,431,457,422,555,060,591,456,072,759,593,768,774,032,649,902,
821,934,468,933,580,603,843,743,092,151,951,272,567,150,745,991,276,112,831,
687,001,699,177,897,465,103,327,374,816,030,273,732,902,253,233,949,213,806,
594,500,031,601,509,085,837,071,601,698,798,449,594,698,721,317,767,499,926,
325,516,356,246,073,405,664,937,416,498,239,572,471,715,142,298,730,489,235,
765,194,548,930,187,522,646,071,098,504,658,227,232,007,516,053,444,219,896,
082,549,279,721,701,378,019,490,056,702,318,276,614,838,873,481,751,808,002,
438,134,591,216,648,299,215,380,119,760,390,840,484,182,150,753,474,336,825,
159,624,133,189,483,592,737,317,542,259,692,892,549,385,184,155,591,347,396,
156,902,219,714,208,291,565,399,646,200,214,688,559,663,663,148,025,910,011,
030,237,824,352,454,167,061,182,397,890,760,891,095,101,683,326,442,994,040,
634,753,581,538,594,143,592,173,436,642,120,554,526,912,653,373,643,815,663,
083,857,111,985,592,537,946,372,498,719,433,247,612,581,741,896,499,133,216,
136,302,950,689,122,659,246,403,390,030,508,295,381,472,423,222,865,844,566,
887,633,351,882,240,084,762,100,173,254,525,397,678,336,061,573,596,795,255,
740,420,852,880,258,031,145,434,061,553,004,443,071,653,041,732,466,986,563,
417,578,028,762,705,734,740,871,143,889,918,777,808,978,235,549,122,331,159,
177,057,179,649,832,061,459,192,113,476,997,745,420,906,472,900,258,650,553,
548,035,695,895,532,483,272,241,003,253,447,024,945,206,149,817,165,415,526,
507,094,264,010,580,841,934,014,251,416,683,975,762,663,240,184,889,056,597,
656,217,677,544,150,982,176,395,733,119,137,790,803,058,095,732,434,222,940,
448,316,620,900,960,458,191,826,384,012,226,096,452,352,917,745,821,789,403,
565,478,331,517,387,369,976,858,226,053,851,673,511,704,574,639,611,560,456,
789,057,713,833,015,564,817,437,292,682,559,002,313,672,157,252,591,224,226,
691,936,854,571,109,205,867,874,329,523,633,099,041,969,289,211,628,863,350,
110,222,055,060,587,909,988,181,160,988,886,927,289,753,413,124,499,539,740,
194,094,862,030,768,488,310,951,880,318,415,202,036,658,562,738,797,322,185,
881,079,973,597,912,804,102,165,599,655,876,620,776,731,082,250,664,680,526,
569,753,995,899,353,197,670,090,386,740,408,004,238,844,336,362,126,109,511,
017,227,265,826,121,850,585,039,793,628,757,772,144,856,245,498,341,630,838,
760,942,635,951,234,297,716,071,190,858,262,151,495,477,857,772,060,657,854,
464,720,391,665,270,858,113,507,997,254,465,881,555,609,833,638,019,842,185,
850,470,050,276,590,127,217,618,192,280,590,256,585,769,460,710,042,402,507,
205,675,245,653,755,887,042,597,365,107,907,363,951,159,365,640,619,188,127,
037,463,512,150,367,519,350,886,457,266,820,039,377,144,867,797,326,597,823,
967,258,439,039,010,933,859,700,112,455,221,445,749,059,219,206,121,665,956,
630,447,986,663,741,565,619,719,856,284,649,438,093,212,110,417,930,792,240,
007,019,751,674,474,067,212,937,178,706,873,789,051,017,233,254,266,999,706,
127,547,001,310,081,576,248,348,398,475,383,064,274,418,840,096,134,363,371,
319,007,665,521,303,414,981,471,141,628,064,575,249,070,875,930,567,125,817,
614,140,144,261,456,102,271,906,864,633,072,214,309,346,439,496,199,432,079,
528,869,238,346,902,317,919,291,270,526,436,694,875,799,615,168,001,490,807,
262,742,487,402,055,839,371,536,171,078,619,525,852,126,515,110,770,070,621,
740,294,265,540,470,233,542,957,900,725,453,035,138,892,271,530,928,810,407,
862,695,791,259,906,410,645,577,164,946,534,589,401,262,758,824,956,415,181,
557,165,058,186,961,286,311,467,208,721,538,838,757,841,822,420,852,000,206,
520,815,694,914,844,960,211,511,633,125,555,353,993,544,705,996,736,933,748,
802,982,256,975,502,932,152,171,103,650,077,129,580,541,173,350,367,840,786,
640,526,734,593,118,677,741,739,495,146,975,222,766,361,633,637,411,912,467,
027,251,484,431,347,538,253,394,867,453,857,025,866,703,801,657,564,698,533,
833,756,121,524,596,527,855,989,309,114,231,723,132,785,982,107,928,611,709,
407,041,162,784,562,248,634,852,810,408,513,771,183,631,119,628,534,804,107,
929,557,879,068,817,432,823,171,969,824,861,974,057,779,272,724,947,553,819,
034,267,484,724,629,583,947,884,234,466,664,760,679,988,177,842,166,159,704,
641,667,133,902,603,600,770,152,548,139,949,869,652,277,865,598,208,032,876,
512,097,978,013,322,261,000,835,504,029,169,148,253,150,622,747,080,807,943,
343,545,407,671,796,873,921,466,048,720,915,839,684,704,696,902,534,202,835,
178,252,016,295,033,472,927,212,908,628,941,175,466,322,110,207,861,113,297,
938,715,502,129,586,105,934,471,816,166,531,518,513,399,083,768,312,295,101,
512,031,233,954,696,903,243,230,755,551,667,548,949,189,289,555,439,316,847,
269,014,095,510,513,352,691,603,499,045,735,514,993,554,598,716,814,816,226,
920,775,058,597,291,606,612,743,000,428,593,650,087,637,153,878,110,326,898,
787,847,815,179,117,628,686,785,707,047,138,534,136,783,816,887,226,100,996,
710,669,509,129,220,278,007,573,775,749,264,945,111,770,728,321,423,143,187,
120,533,910,998,323,181,524,843,997,322,859,416,681,265,733,393,489,624,583,
788,917,715,207,785,045,622,341,379,045,004,971,983,290,559,385,084,457,266,
937,742,250,078,083,099,141,325,276,646,234,116,357,457,874,454,374,655,339,
354,903,685,952,208,247,327,124,041,154,613,611,644,122,375,040,856,140,361,
848,737,505,636,791,186,466,757,884,235,178,149,813,511,978,770,819,124,253,
731,839,986,792,549,824,473,999,631,517,534,099,054,553,970,344,344,585,996,
459,179,108,488,705,041,071,058,838,777,059,010,009,285,704,262,331,406,508,
649,500,549,517,600,841,228,072,797,774,510,250,983,080,768,054,214,134,747,
585,570,928,148,720,361,579,516,023,683,562,710,206,823,649,699,104,977,118,
215,635,699,641,459,329,969,416,323,433,215,532,166,138,802,198,531,777,659,
001,802,265,518,681,981,519,055,023,650,654,483,487,691,949,586,096,883,651,
032,751,227,395,104,571,950,039,981,642,347,293,962,226,643,423,463,709,733,
497,384,512,222,921,023,324,180,441,121,129,892,921,005,527,983,232,397,034,
793,625,183,372,319,292,875,246,196,664,312,987,652,880,941,884,963,287,404,
024,170,094,083,296,966,069,745,941,698,314,578,750,790,820,305,593,350,792,
453,139,843,174,965,005,293,158,692,787,079,682,465,563,321,622,323,769,939,
829,618,464,140,826,106,706,897,320,546,748,706,019,258,662,053,893,303,328,
219,656,950,746,482,760,308,769,542,144,381,608,949,356,224,808,424,709,407,
448,006,997,356,802,969,152,138,195,739,457,111,946,732,360,054,392,555,431,
579,789,046,175,596,270,673,246,100,151,162,346,557,238,835,036,833,886,262,
724,706,943,427,787,525,024,785,559,978,336,747,281,116,048,515,746,190,101,
257,496,630,731,862,942,214,982,692,055,087,266,756,883,075,909,977,120,545,
205,800,920,166,418,652,640,734,349,858,466,265,419,848,102,690,791,137,676,
495,426,611,889,261,769,925,495,251,636,599,129,080,469,834,964,464,348,535,
090,093,891,269,355,503,114,087,353,493,441,251,427,645,771,779,883,611,222,
915,956,504,830,287,561,336,576,355,404,103,244,931,813,379,180,117,320,435,
468,305,796,540,495,978,938,825,304,406,784,967,886,217,108,920,396,471,526,
876,271,910,285,514,433,791,055,490,395,858,834,301,849,985,401,868,005,657,
309,638,461,233,667,159,656,183,284,137,057,040,522,210,649,129,765,731,488,
824,469,012,651,834,368,015,422,496,056,975,138,017,249,560,646,723,371,841,
414,667,774,322,284,817,725,032,921,359,408,653,668,221,223,759,791,045,527,
976,150,102,626,377,245,274,731,025,219,011,770,531,339,764,698,325,092,325,
970,513,615,862,037,189,363,810,416,950,847,055,256,978,642,365,889,129,294,
870,303,173,375,244,454,319,880,360,058,041,138,503,979,955,838,814,214,285,
742,317,955,747,749,484,336,454,432,955,851,888,153,029,222,616,197,034,379,
290,353,243,737,701,027,259,003,357,521,495,549,030,879,423,736,214,623,522,
549,833,740,614,136,254,193,395,768,054,340,942,695,960,839,962,496,126,538,
445,898,574,582,398,860,308,172,199,507,524,148,229,251,139,192,033,240,884,
006,037,164,796,947,581,489,082,623,777,522,352,225,481,426,066,052,619,157,
842,553,666,641,056,834,180,707,797,389,930,395,298,473,519,785,250,522,392,
604,812,080,317,130,768,071,582,176,886,701,556,998,872,715,722,749,673,406,
058,658,587,440,039,276,922,976,974,972,466,471,396,463,879,405,581,250,043,
264,375,934,122,340,549,745,974,386,578,777,060,306,861,554,727,782,226,548,
074,455,466,242,091,576,948,438,356,011,009,478,344,135,192,372,704,558,984,
471,058,030,311,820,041,890,418,371,851,430,788,564,581,428,940,479,727,418,
302,864,478,293,706,544,831,376,881,550,347,125,275,055,397,648,785,329,879,
832,189,914,358,767,581,013,440,076,970,791,807,128,548,301,035,595,060,429,
674,031,940,377,965,658,520,346,343,886,368,174,034,546,997,417,732,576,728,
260,552,578,209,106,613,131,308,900,872,365,114,034,265,272,686,644,430,228,
880,655,993,575,610,695,048,358,745,548,586,019,824,187,490,431,318,573,094,
697,906,457,916,113,012,642,119,596,496,242,068,718,003,129,072,739,844,310,
336,193,520,399,497,435,434,136,136,639,180,786,864,218,368,830,277,520,706,
834,153,538,242,362,381,251,517,762,411,172,895,712,207,122,445,481,321,916,
434,109,043,084,982,774,413,382,548,486,358,398,272,998,963,641,636,188,861,
622,309,731,632,248,963,063,564,182,504,583,429,037,070,646,262,148,472,910,
970,946,667,928,791,134,015,413,736,568,775,980,765,465,402,189,352,264,424,
050,477,073,801,551,143,113,572,790,052,815,698,621,115,636,931,953,572,567,
277,174,005,823,929,382,405,736,959,605,169,643,542,064,815,182,715,745,420,
789,278,699,837,391,031,922,610,867,669,024,396,331,594,187,014,563,317,176,
687,968,991,100,986,988,105,733,181,831,997,405,574,091,837,326,099,239,014,
969,737,787,697,197,684,773,965,855,614,154,071,131,119,385,158,570,654,482,
318,703,325,382,253,303,919,058,468,525,264,007,392,938,382,186,613,743,295,
569,079,789,543,847,223,602,908,758,502,644,794,461,703,025,250,844,762,762,
792,275,038,431,318,169,706,000,707,199,089,683,071,892,579,427,408,071,767,
742,094,109,974,767,403,925,192,515,186,592,931,224,965,771,615,655,369,118,
118,118,423,002,976,739,205,210,016,254,196,915,286,854,896,423,961,602,696,
421,623,947,490,231,981,838,197,615,546,999,295,574,234,693,057,450,809,841,
474,818,362,611,366,497,394,017,341,083,053,557,932,224,699,526,210,662,685,
045,502,376,063,047,467,670,608,707,733,680,401,325,056,776,079,216,696,216,
316,764,644,091,519,910,578,316,705,732,590,317,358,602,453,065,722,125,839,
301,176,057,489,949,631,029,249,437,482,301,334,940,214,184,058,517,395,451,
715,234,766,096,912,939,302,318,872,264,048,474,918,502,266,259,251,803,448,
241,561,931,841,991,247,812,311,210,100,651,958,698,704,415,211,229,939,095,
350,704,201,512,971,913,167,423,958,667,175,347,275,997,946,756,872,161,866,
232,441,164,378,402,788,590,008,546,486,311,548,942,543,634,668,157,137,568,
901,707,400,167,160,795,904,198,013,826,696,474,317,103,948,979,529,666,638,
360,213,067,533,444,340,895,319,316,759,837,859,809,394,820,752,101,620,497,
947,709,695,536,003,465,439,660,309,211,949,962,520,175,998,193,576,500,555,
380,641,621,605,236,824,290,400,124,515,499,800,948,787,574,688,009,593,151,
546,365,517,947,685,725,350,170,984,804,855,524,168,927,954,401,854,953,837,
730,803,506,126,820,534,516,402,801,919,123,039,810,621,179,176,968,550,605,
161,837,480,057,662,090,135,666,096,879,164,128,964,848,729,684,519,953,761,
494,108,418,744,318,985,492,037,083,790,323,911,455,693,794,122,455,939,652,
054,988,370,551,081,256,919,184,458,335,619,663,233,263,926,998,764,648,122,
226,297,423,758,744,921,897,221,099,742,852,249,309,279,200,627,208,555,067,
703,075,119,712,889,996,099,021,161,030,713,156,523,393,072,458,007,225,016,
331,051,151,079,106,968,305,861,509,335,179,908,615,996,895,278,567,788,877,
784,371,751,066,349,422,143,761,236,026,520,687,041,884,547,207,207,127,572,
143,415,424,925,435,411,127,003,540,976,279,666,577,785,130,761,098,930,421,
934,715,629,461,417,244,631,550,133,679,451,392,545,008,361,548,458,833,418,
196,671,573,041,039,310,168,582,078,974,631,753,057,314,449,317,031,609,923,
432,032,766,026,841,187,948,945,046,730,055,927,894,822,579,940,417,632,499,
051,481,985,589,220,457,712,834,909,163,255,464,083,718,726,775,000,165,535,
711,906,353,237,851,634,867,515,592,390,177,795,991,802,608,889,798,633,071,
931,370,922,483,089,937,044,632,053,543,672,459,749,721,529,005,880,208,908,
997,607,363,134,443,900,591,565,811,864,485,352,324,033,337,801,722,378,136,
951,162,199,537,402,334,811,281,530,137,895,812,026,519,496,588,436,508,152,
380,654,485,888,035,182,424,647,345,980,763,475,017,006,088,371,137,117,735,
021,977,227,307,785,067,008,516,906,933,661,117,596,518,803,927,773,395,955,
704,332,606,273,515,252,296,914,612,823,917,206,275,174,630,631,101,054,795,
261,669,941,318,316,262,466,690,194,847,756,564,218,572,959,460,059,068,349,
884,269,407,566,306,713,709,224,060,412,333,580,043,762,725,889,290,522,323,
393,663,692,440,065,723,431,523,717,494,151,235,935,797,619,354,260,566,430,
722,210,782,448,847,562,543,943,472,596,332,356,773,998,791,113,349,545,649,
929,650,921,974,791,046,857,595,626,092,648,783,355,816,182,637,311,725,670,
581,321,019,171,479,483,039,192,362,299,417,183,437,245,708,256,979,788,837,
890,486,348,347,892,810,436,467,715,561,588,612,279,153,318,395,370,224,321,
884,048,457,008,203,420,122,516,582,470,222,068,927,812,651,232,765,592,227,
018,407,318,930,079,681,952,468,387,693,718,632,373,747,947,904,465,224,161,
038,977,695,819,052,707,784,872,046,525,727,984,886,785,184,766,746,068,247,
594,596,268,396,321,323,547,734,423,806,631,260,820,595,242,185,513,321,641,
987,990,008,651,639,495,522,640,952,507,508,770,852,997,813,954,094,327,941,
753,575,606,368,495,601,511,037,442,308,986,140,203,934,257,759,077,225,914,
247,798,551,255,397,417,712,698,952,803,295,321,251,049,835,571,368,456,778,
493,180,689,919,863,641,943,959,478,230,571,826,304,853,033,592,998,307,479,
074,869,074,900,635,035,298,793,007,913,979,450,053,161,691,409,269,550,906,
565,924,028,239,698,003,416,141,945,585,683,279,558,288,668,694,155,717,440,
844,409,543,511,141,484,184,623,079,866,864,032,972,904,247,476,523,475,063,
965,601,229,337,857,766,982,058,369,206,960,498,021,778,336,429,586,218,118,
134,299,931,107,960,271,164,988,445,708,537,847,517,433,257,086,095,639,352,
566,226,479,345,486,704,451,225,369,597,069,187,149,074,751,241,743,485,929,
636,783,710,082,860,322,230,369,256,133,446,509,235,897,597,650,834,768,430,
215,221,603,588,467,676,444,080,263,655,340,738,499,218,276,092,660,050,136,
702,320,379,050,543,899,732,133,241,536,120,896,163,940,764,963,380,250,505,
965,083,261,837,053,349,657,413,856,684,692,076,354,990,391,286,167,484,753,
414,076,858,454,481,005,765,198,883,910,326,772,202,660,899,769,754,073,716,
809,144,842,064,888,109,358,468,818,888,491,293,285,527,023,565,036,572,335,
138,639,338,392,244,464,564,034,090,133,949,593,742,083,813,079,479,517,675,
276,189,815,692,640,009,502,943,078,130,849,029,671,273,221,926,705,751,074,
344,399,549,005,092,357,408,351,619,458,453,655,219,968,968,323,083,879,537,
776,732,197,944,026,753,013,973,358,882,138,189,861,493,675,098,145,679,128,
078,568,507,955,576,797,462,823,606,106,515,754,662,845,074,016,683,561,732,
506,883,722,072,270,938,248,282,718,585,922,511,559,670,841,298,975,942,760,
800,673,731,509,410,762,514,915,631,836,532,212,598,426,384,707,368,834,187,
464,228,231,233,480,580,751,262,621,604,025,065,535,203,583,547,030,147,955,
123,773,120,861,015,832,009,215,896,039,866,496,531,971,503,816,213,923,411,
516,236,440,311,191,707,986,626,933,430,365,885,339,953,624,599,500,718,194,
861,972,966,175,925,674,823,501,546,152,975,869,039,788,808,093,731,004,749,
419,889,823,837,610,477,933,937,946,723,986,953,618,337,456,485,211,862,267,
093,584,874,014,015,664,327,450,559,567,736,346,379,339,325,215,197,738,263,
747,403,869,544,942,125,679,290,531,995,570,240,319,684,016,563,625,135,240,
095,467,903,147,575,898,708,223,362,287,113,707,884,864,868,454,791,267,701,
894,474,381,523,089,615,868,732,523,697,377,127,564,655,385,601,086,927,964,
290,144,799,971,106,562,067,477,709,198,611,794,746,159,034,960,062,637,677,
751,796,779,997,554,339,886,410,398,894,977,816,611,832,216,149,419,810,168,
995,861,852,429,552,434,703,881,899,854,172,158,360,457,078,561,288,872,027,
394,193,886,593,985,028,381,253,485,865,828,716,064,712,885,199,009,938,340,
122,283,312,855,590,270,169,446,107,272,597,170,146,770,153,717,809,139,885,
299,657,242,908,854,839,184,956,833,256,243,472,887,026,848,054,552,347,349,
217,920,093,993,437,225,705,862,265,995,269,570,497,328,932,913,967,883,243,
866,794,284,840,099,841,250,702,991,711,344,804,174,329,120,991,244,599,497,
536,133,570,699,815,045,413,836,295,486,798,448,815,380,682,260,956,478,192,
990,720,980,763,734,002,253,427,552,954,065,405,707,088,564,235,551,349,618,
539,871,178,916,311,206,669,477,689,021,200,163,224,924,517,521,426,732,589,
162,979,512,183,566,647,999,582,579,016,915,105,403,336,539,701,832,518,735,
325,660,269,807,994,459,126,383,146,310,678,188,325,315,987,135,505,526,554,
787,354,910,847,392,494,196,863,232,954,441,610,641,977,588,082,763,801,483,
856,643,150,825,210,807,900,892,557,652,915,000,950,438,238,828,901,474,583,
988,461,758,190,336,068,019,427,081,349,537,843,863,393,367,974,900,390,106,
670,001,771,204,076,673,322,319,851,867,335,157,623,410,276,260,194,482,171,
170,771,448,947,105,532,699,894,458,038,338,098,397,426,705,289,002,230,156,
281,951,259,993,823,446,476,015,590,302,332,813,982,736,793,612,479,718,652,
246,872,748,644,123,852,136,016,186,596,220,915,082,335,227,310,232,923,003,
261,281,492,045,395,478,818,529,589,880,277,509,908,446,790,852,929,257,625,
365,771,329,544,973,804,664,273,900,514,352,974,959,228,083,320,903,799,314,
056,714,052,750,817,427,225,612,337,016,833,049,078,957,439,926,708,319,814,
679,674,892,320,833,389,425,623,943,530,406,126,837,751,387,457,602,867,703,
476,938,676,780,957,261,386,142,007,815,249,536,018,508,298,114,280,692,669,
570,171,586,245,483,301,147,101,052,350,531,693,698,282,650,923,759,993,279,
552,753,248,072,726,538,951,176,129,586,992,688,552,590,698,998,715,350,308,
539,787,572,488,461,526,305,729,019,765,528,271,136,818,587,824,035,651,770,
462,867,824,447,921,062,731,110,310,508,760,917,997,046,497,596,942,707,396,
757,974,849,118,237,002,945,149,994,966,829,170,089,852,080,090,358,594,427,
731,758,827,032,123,952,003,718,185,674,965,531,582,119,742,424,865,609,479,
507,422,573,242,343,900,057,237,024,310,469,285,006,013,135,831,240,137,694,
029,476,877,829,856,136,073,882,685,150,392,901,080,016,494,409,399,726,818,
998,819,071,154,994,112,692,110,040,945,049,903,629,017,017,258,881,635,245,
945,724,084,652,711,967,808,011,630,223,737,472,711,184,900,607,868,769,408,
106,903,177,668,839,006,101,017,075,079,203,452,198,853,380,328,426,854,570,
905,166,717,432,551,720,683,231,404,524,478,205,885,296,056,812,727,478,312,
780,273,173,446,179,047,402,542,777,874,085,652,212,804,523,591,092,257,367,
896,488,875,139,159,612,857,907,319,723,343,941,345,685,584,258,769,445,222,
092,707,278,134,916,291,392,216,176,673,989,069,382,222,330,168,204,971,958,
218,973,085,258,314,876,759,684,027,938,410,537,979,784,252,698,469,897,580,
273,049,215,074,818,583,713,966,740,240,300,342,836,585,026,340,776,699,559,
275,415,719,671,585,212,962,181,534,088,945,391,854,168,318,811,381,664,389,
814,636,057,681,435,412,295,846,297,919,765,401,203,650,506,807,616,389,832,
035,704,811,480,640,118,302,524,924,782,063,088,846,324,511,862,222,541,790,
977,375,812,119,232,176,236,246,666,856,739,927,286,270,775,023,974,486,894,
137,189,378,459,579,227,027,595,534,055,542,639,850,201,312,186,239,187,260,
000,536,399,910,720,882,540,453,492,824,898,663,640,561,743,187,858,277,226,
999,355,507,346,663,459,916,899,126,646,786,127,438,705,847,198,036,788,028,
845,011,164,387,866,201,176,912,968,976,849,591,408,444,240,300,592,699,820,
171,014,023,715,267,413,941,794,039,061,576,116,386,092,531,227,151,527,738,
719,794,257,890,216,165,882,018,524,284,596,670,549,760,799,602,858,473,077,
877,748,652,155,118,513,835,693,756,652,321,306,779,088,052,108,355,661,969,
591,245,144,121,504,699,470,551,890,536,828,862,740,863,453,091,762,873,075,
948,590,730,143,742,491,548,202,415,720,544,811,421,190,106,625,398,798,981,
789,743,875,045,733,962,794,314,593,585,739,550,491,853,609,869,907,090,318,
507,144,021,593,631,894,963,378,601,390,985,276,563,981,885,777,673,595,427,
459,582,498,718,790,559,592,309,275,547,137,102,888,752,650,674,732,041,674,
205,986,215,081,686,040,411,206,520,336,369,137,158,126,135,411,991,854,660,
120,140,616,203,654,571,142,594,050,775,237,977,920,606,892,681,555,673,969,
242,356,236,034,755,331,496,920,217,569,066,865,862,810,840,478,785,068,447,
717,783,843,278,909,486,038,943,093,889,125,731,104,921,493,908,287,047,898,
113,743,812,236,138,995,213,711,419,918,487,311,100,599,110,086,876,895,971,
104,460,361,596,041,808,158,017,467,632,733,167,483,320,250,742,361,315,646,
922,966,888,033,133,748,423,794,261,986,871,001,828,710,606,186,126,939,932,
696,946,973,466,611,792,164,040,427,777,010,666,889,892,710,968,339,437,692,
028,381,317,787,866,028,885,574,338,037,005,416,467,547,669,413,977,311,020,
936,993,025,516,927,413,938,653,781,912,781,024,302,063,927,909,649,166,629,
737,630,585,001,832,180,704,934,290,664,277,319,070,425,486,330,276,691,595,
712,687,471,067,093,278,332,455,720,474,503,182,245,998,619,622,850,139,714,
274,073,701,185,780,325,291,199,306,741,522,069,621,871,095,134,711,670,076,
241,354,688,734,842,015,770,713,856,033,876,837,375,981,662,941,298,802,643,
410,754,344,093,036,564,476,524,358,722,911,838,237,175,304,359,352,361,297,
310,366,479,079,521,841,599,728,337,648,503,646,322,165,732,624,357,542,126,
415,889,441,600,635,932,870,212,224,636,360,549,467,496,797,802,744,107,372,
613,155,447,925,961,266,836,947,581,627,784,604,111,277,280,987,874,514,782,
286,739,973,780,415,705,727,015,002,299,021,338,102,244,224,205,026,861,257,
412,382,820,440,197,873,235,688,485,427,136,328,845,048,288,130,719,889,780,
321,445,353,154,748,258,063,831,002,552,264,997,428,336,216,147,630,166,516,
248,224,898,774,387,055,671,484,571,916,395,468,042,059,988,272,385,206,763,
868,796,079,937,577,192,401,328,269,736,108,329,737,811,224,337,137,939,917,
801,329,878,516,979,312,696,887,537,329,929,849,381,166,184,700,545,115,174,
023,580,831,394,549,205,023,616,088,916,929,354,219,853,654,311,086,320,243,
857,347,216,520,483,734,539,429,213,319,342,068,171,683,357,722,951,618,775,
862,963,810,167,389,849,487,716,180,813,993,000,570,668,209,333,766,526,019,
853,244,697,577,978,540,886,764,818,905,515,598,362,579,136,516,890,408,641,
481,872,947,627,318,578,899,523,946,690,871,359,617,729,838,200,330,433,773,
589,998,354,102,257,651,453,680,557,365,475,528,085,652,008,077,361,781,429,
484,988,279,261,537,519,424,164,437,606,477,389,888,711,219,547,623,778,309,
060,291,381,507,724,523,723,562,803,076,034,660,116,134,444,363,256,314,771,
750,384,699,403,328,649,165,899,037,594,737,154,022,016,107,196,066,811,208,
755,981,431,816,382,672,311,529,653,996,247,005,618,147,291,775,533,214,684,
024,179,196,246,563,698,034,019,780,035,081,875,852,409,779,397,892,285,134,
905,543,329,889,094,162,802,503,014,618,516,095,337,943,968,988,574,630,638,
765,478,669,984,513,835,048,335,053,855,745,163,355,243,191,337,049,327,165,
174,652,572,353,319,251,310,476,760,557,278,408,826,777,374,068,080,122,576,
218,752,797,214,599,438,388,561,528,458,900,046,495,209,601,211,035,990,671,
057,979,275,712,272,536,966,889,782,073,756,008,070,356,588,579,690,453,078,
298,526,368,218,639,881,913,353,788,543,001,382,842,502,467,208,747,793,235,
769,000,343,270,349,210,896,094,292,890,961,619,714,956,573,859,900,097,503,
686,932,622,165,252,635,532,717,375,150,281,539,047,120,254,288,764,783,183,
030,901,909,875,760,917,720,962,238,730,317,639,673,446,663,584,439,215,275,
112,759,105,490,357,855,567,645,332,521,421,404,082,347,765,183,089,380,986,
999,550,490,048,219,711,741,617,212,396,876,919,843,317,074,542,221,755,797,
665,248,331,689,998,202,999,248,633,397,748,711,386,353,195,381,742,309,358,
847,547,092,896,511,470,676,245,180,991,578,158,653,114,291,997,112,940,434,
200,478,905,118,911,615,547,684,325,138,494,437,109,255,410,773,256,109,384,
677,038,246,535,073,409,943,358,710,818,069,463,099,482,452,957,505,191,185,
525,828,516,702,715,966,086,184,398,312,843,859,367,653,196,520,494,065,656,
890,579,589,016,985,812,447,267,515,333,019,128,690,633,306,539,057,043,050,
513,807,277,107,934,411,445,285,553,297,976,569,860,999,637,465,584,863,880,
089,265,703,081,664,146,096,059,118,223,265,822,558,184,345,169,707,933,981,
432,378,695,628,001,225,036,903,101,237,759,173,544,776,446,248,652,404,932,
548,685,132,383,129,071,531,424,057,024,829,060,560,410,659,031,800,825,969,
705,028,593,341,286,160,466,853,583,911,249,779,072,381,663,144,923,048,465,
330,253,719,856,865,415,918,912,128,574,014,667,596,550,868,941,076,815,511,
870,712,685,519,533,702,567,017,125,078,828,845,075,211,353,326,453,688,472,
344,658,137,204,969,524,646,203,616,328,235,403,170,779,843,918,379,461,788,
894,356,603,233,970,005,248,717,195,244,085,211,527,889,761,670,021,507,308,
406,173,869,264,121,598,833,476,514,712,431,212,042,939,769,679,485,612,806,
401,340,129,922,654,828,303,292,559,095,560,617,262,294,507,319,536,644,936,
827,429,974,409,847,813,439,610,366,507,561,453,614,702,385,558,084,137,802,
570,112,923,692,662,904,619,618,306,939,449,994,688,973,377,838,818,183,788,
246,864,454,165,085,617,259,642,114,873,274,372,442,492,404,015,605,061,515,
109,172,649,797,819,924,014,702,719,736,190,572,346,151,549,573,497,697,108,
774,313,703,128,991,698,458,957,444,550,813,469,203,060,036,101,484,191,779,
076,971,618,879,682,064,320,934,058,056,108,879,382,213,385,721,838,102,220,
679,687,816,737,241,308,642,453,090,198,167,241,267,646,533,687,318,026,444,
348,488,854,421,060,711,617,948,769,647,561,463,187,135,902,155,148,135,996,
523,871,050,627,803,239,686,893,127,414,022,147,557,186,276,390,829,172,185,
200,517,921,261,260,538,938,425,766,884,633,542,352,199,262,874,107,188,338,
819,038,014,211,348,684,048,969,924,306,252,769,065,822,885,733,063,843,431,
775,234,552,314,078,450,075,587,141,590,067,146,313,558,388,355,211,999,767,
189,212,239,059,804,240,572,131,384,909,741,084,108,759,013,491,086,750,525,
538,783,058,643,996,856,844,229,961,758,414,479,819,768,182,037,300,308,228,
899,376,398,761,326,251,571,778,694,694,436,245,276,742,837,927,475,797,387,
560,462,558,067,029,051,685,272,255,406,972,597,555,130,333,823,236,578,411,
374,605,638,577,049,956,391,265,203,496,744,541,978,243,941,335,775,487,709,
330,133,534,191,977,627,212,987,821,056,855,425,113,941,124,131,711,002,136,
949,700,994,701,026,254,936,940,713,602,020,098,207,409,866,841,192,922,846,
978,810,794,278,806,507,495,750,251,556,681,137,620,540,547,146,936,470,442,
078,452,553,784,765,120,427,791,363,845,891,420,717,575,100,443,816,730,651,
255,462,812,081,368,210,898,253,616,814,201,900,126,790,420,509,264,474,005,
449,951,347,892,052,690,061,676,777,057,547,885,140,418,662,781,433,501,046,
424,450,490,830,249,153,894,990,230,088,586,400,833,080,177,580,023,083,887,
554,911,790,279,808,041,237,059,010,888,574,566,926,085,541,449,300,114,278,
719,625,738,461,556,026,474,721,200,330,646,872,352,343,509,058,749,552,421,
182,968,739,924,133,657,787,794,148,361,775,835,494,667,444,342,598,741,018,
637,248,262,004,868,097,917,068,455,720,012,850,437,797,927,976,451,893,578,
121,808,691,854,593,967,614,828,659,443,051,128,547,511,294,036,319,723,302,
728,909,627,745,695,219,957,893,387,181,424,720,764,265,411,393,211,185,383,
000,113,143,390,917,516,512,615,593,242,502,398,881,820,839,017,668,203,758,
700,515,495,872,146,521,976,749,349,498,568,069,791,179,316,298,010,949,915,
961,096,899,874,810,106,419,182,534,451,500,961,395,288,186,611,872,970,941,
146,872,530,189,247,411,671,912,684,641,337,620,374,113,919,261,147,723,268,
887,805,241,894,490,827,496,294,849,019,410,331,002,645,965,559,051,047,404,
338,107,057,629,303,263,621,916,901,754,145,797,262,714,378,313,083,829,038,
163,143,529,691,383,121,409,893,089,572,776,570,906,095,296,644,468,134,065,
701,366,637,947,592,996,403,059,825,596,793,770,932,271,920,205,953,603,859,
826,274,883,668,304,248,567,511,800,976,812,750,919,849,985,263,637,597,638,
134,857,724,723,333,335,082,132,892,450,799,178,710,643,746,657,892,021,565,
639,913,290,143,950,733,997,604,301,851,692,690,321,319,093,501,425,941,977,
638,442,458,192,979,794,464,595,291,453,374,899,166,795,744,123,596,868,972,
564,772,242,252,768,623,187,054,925,807,177,726,998,289,572,765,794,813,513,
661,904,558,182,869,505,952,249,381,116,363,318,827,284,344,685,322,586,786,
755,921,460,688,965,409,299,725,252,928,306,516,261,562,681,739,397,182,548,
509,797,874,927,138,073,903,364,474,147,205,146,374,591,449,327,453,740,679,
088,768,014,885,143,965,513,195,174,076,908,732,530,387,723,346,768,042,113,
679,706,844,246,914,244,398,361,336,661,095,240,496,959,961,940,798,572,809,
718,509,929,463,697,241,164,391,016,910,572,364,131,550,133,378,265,228,700,
491,926,643,814,582,397,192,904,481,998,014,214,204,002,151,300,954,721,900,
617,514,439,438,316,646,662,187,243,451,927,042,389,781,844,529,902,213,225,
019,576,300,938,964,951,334,058,544,706,132,175,827,131,587,307,211,889,973,
982,871,734,536,388,868,221,139,507,260,087,609,155,151,433,934,363,263,984,
950,074,359,699,962,042,359,771,358,463,956,466,777,206,201,106,595,658,228,
255,375,558,427,530,261,784,072,657,327,276,056,429,320,540,694,474,401,856,
266,083,250,874,683,167,190,541,174,140,219,859,781,856,685,622,169,111,251,
085,937,411,502,074,394,480,442,853,278,325,823,427,843,124,686,404,339,572,
172,106,259,647,037,207,061,684,819,603,824,920,419,101,327,214,066,135,435,
579,371,338,120,261,775,659,693,720,548,447,531,321,493,544,815,570,533,588,
084,022,325,731,125,821,816,900,940,790,644,762,701,489,367,858,222,746,216,
712,619,190,377,896,500,384,911,078,519,393,238,512,443,010,673,964,090,550,
820,976,621,294,988,317,980,653,677,522,350,231,320,342,207,556,595,979,771,
604,031,076,685,513,921,559,700,927,551,800,103,744,327,841,070,458,331,414,
972,145,835,492,643,680,074,855,836,348,633,647,320,864,713,064,206,853,644,
588,601,279,512,412,662,655,327,601,481,490,427,602,105,296,667,366,552,860,
048,106,685,885,643,217,870,826,787,917,301,843,734,582,091,656,272,540,300,
229,596,626,917,919,946,560,339,231,788,719,180,229,180,968,725,740,566,016,
823,471,584,554,577,859,155,857,440,208,652,863,233,443,350,567,527,478,474,
418,908,124,182,261,865,149,324,250,477,983,212,818,623,210,896,864,272,186,
875,941,347,413,619,368,660,806,609,184,317,485,029,975,598,734,506,215,475,
743,984,467,392,722,929,692,404,806,824,321,367,480,677,916,828,746,979,582,
818,068,172,873,689,272,237,697,102,330,197,446,752,373,802,283,456,511,932,
453,011,052,075,226,507,167,827,835,980,748,969,990,717,064,558,402,913,654,
332,813,076,955,102,053,235,529,727,872,000,323,906,804,902,350,418,248,714,
888,055,974,235,997,413,696,443,559,975,773,193,491,324,002,587,758,642,881,
944,937,127,511,431,333,144,460,333,727,164,166,872,654,139,112,322,119,269,
858,913,208,107,619,137,147,384,719,239,805,445,120,474,689,743,748,982,264,
927,259,382,593,702,773,274,765,262,937,282,466,046,990,398,687,531,671,136,
189,468,838,533,877,472,841,150,504,622,634,360,171,361,537,121,693,384,111,
773,598,835,486,302,496,705,113,986,943,802,110,070,739,210,808,638,692,758,
627,347,533,579,596,272,895,505,112,713,363,892,448,695,679,950,682,903,094,
866,946,721,642,292,520,330,893,124,025,400,602,635,384,884,505,242,820,838,
035,316,728,549,843,668,934,866,053,254,659,674,905,773,381,572,146,110,047,
155,230,711,646,023,934,277,089,839,579,775,800,942,371,502,411,956,980,784,
369,756,690,030,390,843,071,464,558,713,006,801,128,871,402,357,736,030,145,
110,701,903,007,308,328,552,868,170,965,214,363,296,615,648,769,087,032,534,
873,381,399,639,690,356,719,978,769,541,869,444,240,049,628,131,268,519,994,
919,753,523,051,612,294,731,315,674,836,665,368,768,025,081,950,116,790,323,
635,744,858,993,822,701,832,846,107,035,043,789,539,976,415,267,765,038,753,
098,152,765,945,439,497,152,651,747,081,170,085,388,966,915,523,138,362,345,
907,700,096,404,830,898,899,939,930,225,475,462,959,325,240,892,002,607,699,
103,796,763,081,274,585,833,745,318,952,575,782,644,686,139,137,371,461,605,
025,604,691,208,803,202,944,899,894,175,895,347,195,535,443,906,373,613,858,
290,295,514,891,622,574,494,334,113,077,956,392,645,182,085,340,254,303,798,
572,647,079,461,136,110,741,637,447,541,023,626,697,335,607,444,491,237,807,
119,107,107,010,878,729,055,969,790,142,299,733,162,268,884,056,314,797,330,
761,498,970,344,213,219,513,180,128,990,174,483,255,793,081,767,005,688,699,
536,730,206,215,326,880,556,358,792,394,735,792,543,835,885,860,384,426,269,
945,094,325,794,553,696,772,793,404,584,732,045,411,536,012,896,827,695,723,
082,682,587,975,996,795,352,102,957,456,955,641,418,165,096,336,054,186,814,
475,037,954,019,976,422,329,162,481,238,392,069,648,340,557,659,270,727,818,
962,987,155,343,717,024,500,616,226,199,316,936,584,747,423,693,126,045,864,
023,105,916,867,542,151,355,762,540,893,516,715,009,713,051,481,973,790,847,
559,696,654,153,934,538,708,291,376,687,443,077,567,343,211,124,876,907,536,
337,857,322,185,650,839,152,230,609,441,463,207,735,178,814,974,571,573,774,
756,686,823,562,162,214,977,634,696,039,765,027,911,478,384,382,497,503,822,
136,653,204,744,165,922,096,789,478,930,956,441,936,083,461,697,147,215,590,
224,524,450,177,918,860,561,865,540,469,062,103,563,093,820,322,364,811,079,
274,490,931,193,287,117,744,605,504,442,245,713,784,541,039,179,243,656,672,
074,920,068,077,210,033,150,353,338,184,791,511,446,998,399,677,604,088,499,
924,457,042,447,699,771,122,258,829,476,111,596,462,549,343,328,194,410,885,
402,842,425,465,083,115,128,289,138,809,143,490,832,107,836,528,445,544,232,
456,025,682,004,241,306,761,576,298,907,946,071,297,426,659,410,676,147,124,
810,981,457,782,221,246,390,848,343,472,679,772,569,034,968,535,059,649,057,
214,225,163,316,832,841,625,953,079,756,893,367,841,279,747,748,108,265,113,
443,749,735,073,340,665,111,860,283,388,588,472,807,232,322,778,449,152,954,
281,935,380,221,602,980,394,558,711,913,806,666,861,845,225,919,341,270,847,
146,738,093,030,119,480,603,350,324,572,527,563,539,038,911,593,066,154,881,
328,841,097,674,801,166,462,299,186,224,177,847,694,287,235,258,819,972,602,
254,952,369,681,999,912,790,666,515,215,087,129,919,282,264,065,322,447,000,
978,670,401,587,803,491,394,011,280,356,940,902,929,663,814,334,075,532,536,
632,774,526,906,572,762,142,086,825,789,362,821,364,281,855,810,318,482,758,
801,834,807,411,371,283,517,823,751,822,210,891,892,618,764,708,200,341,226,
877,534,484,368,892,120,746,415,891,295,882,792,294,113,175,586,231,165,425,
509,904,940,773,511,685,435,591,632,095,310,135,221,082,565,597,949,628,091,
648,937,582,767,403,880,987,430,068,820,621,275,541,422,110,499,053,453,720,
585,945,695,682,554,196,834,504,594,851,673,187,144,818,372,513,571,398,919,
397,594,075,328,537,637,536,195,192,664,549,782,182,088,580,322,083,215,982,
109,273,604,539,657,899,752,202,819,504,414,164,616,889,674,612,547,009,851,
949,940,587,889,839,326,545,426,438,620,160,176,508,692,446,093,305,973,597,
038,389,726,046,901,406,371,112,794,887,538,048,502,936,711,570,364,067,068,
781,794,227,306,412,066,010,293,302,545,261,072,585,648,007,143,433,339,753,
412,293,147,077,178,742,410,531,876,779,704,581,585,514,045,501,268,879,066,
768,141,553,526,332,443,299,485,398,995,916,412,361,054,751,822,672,081,224,
526,312,077,305,506,906,034,165,075,108,630,221,073,923,766,574,744,341,917,
913,233,632,754,631,186,950,329,450,540,688,551,944,521,618,218,188,688,694,
132,473,794,957,192,520,509,621,086,381,744,792,991,256,995,087,450,257,964,
969,727,284,329,167,833,512,294,085,222,523,071,877,975,418,356,504,606,229,
873,104,834,663,895,668,169,927,560,919,305,587,191,811,816,611,062,733,990,
124,671,913,000,021,383,240,055,745,698,256,833,826,060,445,521,108,354,099,
463,354,941,335,305,161,174,048,530,705,042,648,590,614,147,701,052,982,797,
582,967,657,341,866,496,655,622,047,666,493,943,699,591,551,551,287,502,853,
552,650,660,948,981,274,594,564,755,767,145,836,166,789,291,407,080,057,064,
899,577,091,490,018,005,135,849,065,011,394,333,416,561,041,130,388,394,684,
835,075,642,592,329,599,267,646,131,247,156,905,008,950,260,199,730,909,053,
453,503,135,278,016,723,758,763,519,605,419,836,703,508,211,726,594,369,725,
955,603,686,974,715,623,071,893,591,509,199,814,217,326,059,484,193,497,678,
378,503,704,671,571,697,172,434,300,346,232,673,200,945,515,625,373,567,630,
484,453,521,566,457,665,337,796,421,585,387,188,866,596,700,772,606,467,325,
922,809,069,722,305,519,673,014,414,142,636,410,320,974,443,253,176,298,439,
483,176,610,560,731,945,416,589,792,718,575,923,074,450,811,283,225,751,766,
862,226,582,296,070,340,147,827,953,764,624,435,606,010,985,716,508,480,218,
505,207,007,891,016,287,480,689,055,656,125,062,739,677,024,283,394,532,295,
642,230,382,191,179,876,389,429,511,471,489,624,832,706,468,155,025,824,537,
172,076,098,132,849,888,284,681,666,791,334,626,313,199,624,870,527,276,935,
783,759,515,133,753,983,065,902,072,513,056,856,712,892,640,817,933,353,760,
384,113,027,209,368,627,483,270,403,591,611,782,393,183,436,326,161,400,997,
129,084,615,064,843,084,001,307,779,374,399,337,177,385,787,355,887,801,853,
850,194,134,113,725,629,329,669,762,344,139,388,806,372,162,661,299,625,319,
491,309,051,878,932,236,510,172,378,405,560,971,377,779,900,788,978,393,959,
729,972,714,220,718,736,406,795,807,309,593,538,446,521,348,407,021,909,648,
058,840,611,383,872,739,801,752,864,287,607,417,396,202,672,898,095,414,908,
939,647,885,530,261,684,153,121,772,940,330,415,346,287,946,141,802,888,477,
970,005,704,703,873,120,607,129,028,202,051,739,611,852,257,778,337,098,302,
163,417,439,041,991,607,854,421,569,199,782,443,363,764,353,462,307,900,021,
388,477,565,529,943,191,132,238,621,193,772,108,872,690,816,347,713,245,051,
638,948,222,748,315,813,892,352,762,323,752,382,737,415,104,967,180,549,644,
061,218,831,088,387,240,443,185,470,681,881,250,397,649,041,995,280,650,530,
927,586,696,434,537,491,142,622,293,145,978,319,589,178,645,887,029,516,684,
648,639,426,310,648,463,933,939,113,781,637,785,238,818,170,583,521,589,185,
513,161,105,159,179,579,422,890,006,902,358,592,209,831,310,019,317,571,368,
979,592,850,848,842,627,711,703,793,052,578,571,648,545,289,810,517,281,296,
562,198,480,924,790,833,771,101,952,591,815,978,213,044,117,343,508,302,967,
112,314,329,253,812,665,897,737,824,745,582,198,349,857,286,556,967,273,757,
925,442,649,189,326,558,896,218,363,143,181,736,492,571,998,579,302,329,474,
137,654,586,006,267,491,810,628,343,372,340,457,748,302,315,791,450,937,892,
996,154,062,980,698,926,688,625,693,319,460,094,021,725,871,050,366,359,673,
571,117,141,069,907,040,907,717,176,216,566,012,406,507,141,218,956,801,289,
924,330,933,740,438,307,556,818,923,816,225,359,503,548,745,176,060,242,004,
626,603,171,056,687,572,213,840,629,496,725,158,258,866,950,293,834,455,607,
164,506,803,328,814,075,285,567,634,656,949,710,076,933,129,581,440,093,652,
533,035,290,756,018,135,777,972,997,784,248,265,474,720,279,978,654,440,466,
043,669,320,730,428,738,667,099,743,924,869,886,079,108,878,973,919,410,296,
381,419,868,154,782,114,129,244,326,338,018,864,037,650,984,140,918,878,470,
714,726,198,582,129,374,421,996,348,736,494,320,922,175,423,386,593,083,293,
626,617,320,811,383,599,787,778,702,847,773,412,515,932,349,524,695,763,150,
248,047,738,511,868,285,825,512,987,889,097,928,233,072,514,193,449,248,970,
089,424,605,934,754,362,065,053,670,894,978,354,411,607,407,666,209,727,297,
712,857,211,457,383,395,654,590,168,633,911,208,751,983,290,263,235,610,366,
843,720,331,613,375,325,558,112,219,673,991,087,863,642,080,022,063,909,215,
794,375,187,827,455,411,946,194,797,047,539,569,819,654,997,048,111,981,230,
735,471,440,202,223,663,559,735,290,129,833,145,614,870,137,694,758,028,898,
688,161,491,079,225,753,919,223,380,542,535,146,957,968,863,736,493,221,401,
382,365,254,949,328,089,717,042,150,069,592,373,810,084,121,341,025,876,077,
172,967,206,446,736,018,271,097,275,341,896,921,103,940,906,555,363,415,551,
473,198,149,949,054,608,735,215,255,770,970,963,389,652,832,146,327,240,508,
196,160,673,358,200,177,992,427,025,313,571,848,892,736,081,674,167,287,671,
223,971,762,371,210,166,709,964,688,831,345,722,576,084,457,158,409,899,352,
381,845,954,360,793,764,590,756,998,884,133,040,156,590,930,486,748,890,538,
137,946,344,113,545,941,814,182,160,268,637,023,987,047,048,256,029,786,413,
387,552,993,396,350,445,369,236,358,761,986,811,097,501,425,168,533,578,510,
602,151,279,771,562,436,329,943,597,504,461,175,533,066,048,190,318,709,099,
344,964,509,189,319,889,090,134,774,998,934,628,312,959,163,911,232,573,025,
622,451,106,510,320,488,855,480,574,408,926,494,007,479,420,802,763,196,981,
636,770,580,510,676,597,038,441,423,186,661,206,385,755,816,541,668,931,698,
394,507,839,739,481,416,682,616,628,881,004,981,939,544,743,775,807,910,181,
299,954,183,239,655,856,288,432,626,858,761,959,109,330,692,816,904,629,590,
087,115,651,882,206,266,593,471,984,303,905,756,972,598,327,430,117,056,656,
620,568,021,817,601,038,594,274,485,913,755,307,051,110,291,118,630,655,943,
012,164,325,062,823,816,978,804,806,200,196,206,062,435,724,170,405,448,667,
895,146,164,964,209,911,232,696,033,378,214,764,704,041,753,742,901,219,128,
598,486,522,060,399,363,353,687,457,050,528,152,824,297,716,338,165,303,598,
936,894,579,016,445,456,580,752,069,004,305,483,880,048,111,714,181,645,476,
110,764,648,883,191,633,085,363,450,456,270,586,759,776,841,194,118,721,970,
400,205,176,878,639,214,823,507,375,044,734,200,298,839,441,311,304,687,231,
806,670,833,968,338,965,162,813,881,827,631,397,852,093,324,510,267,597,443,
771,322,845,027,926,232,652,977,765,498,551,463,539,955,742,954,496,890,310,
651,226,481,508,741,696,388,622,999,294,425,508,022,756,450,046,062,218,381,
083,980,200,511,563,490,224,332,266,791,774,079,341,864,527,252,382,722,288,
216,225,989,645,555,251,516,756,354,129,037,443,940,872,439,810,377,333,982,
723,426,550,134,166,571,516,447,105,388,533,212,735,742,488,738,137,016,722,
788,968,067,067,071,374,031,741,077,247,694,314,790,871,878,424,684,265,938,
989,054,233,431,156,994,149,436,599,992,091,795,258,946,147,970,413,560,254,
149,782,465,783,313,203,991,633,931,877,028,613,118,175,042,408,099,367,621,
139,462,549,700,153,635,446,753,895,890,849,987,310,546,833,563,952,125,413,
715,485,476,550,944,773,601,466,451,346,628,656,345,105,405,762,702,758,064,
029,268,553,399,719,239,277,464,690,190,428,024,261,553,876,040,898,407,412,
441,991,478,391,513,361,187,739,579,880,341,328,639,856,029,095,065,598,439,
655,642,578,385,325,203,995,503,486,154,728,110,147,989,607,376,845,989,968,
886,036,504,507,122,097,980,072,633,785,657,257,264,344,078,114,233,197,875,
554,808,685,158,766,635,622,590,303,764,241,288,148,803,509,106,072,810,281,
038,581,807,375,510,835,894,171,294,038,644,088,411,543,192,727,841,113,048,
663,058,899,307,807,430,705,361,711,037,620,821,861,679,511,071,135,927,076,
262,963,471,719,976,516,314,738,457,763,455,379,026,614,357,613,266,065,398,
529,620,875,817,952,637,295,397,546,228,021,222,577,476,590,471,842,523,450,
996,167,767,983,393,014,548,550,280,809,375,313,908,903,559,841,051,267,880,
908,190,378,793,783,103,613,034,504,111,524,355,007,779,233,144,394,034,979,
927,837,008,750,384,118,619,999,789,158,221,352,227,507,483,670,546,221,580,
756,995,201,283,421,579,923,850,765,103,669,220,726,039,716,753,129,952,348,
905,569,784,940,574,105,587,003,017,655,040,104,283,222,217,014,504,725,356,
938,192,316,235,724,035,926,633,544,000,082,826,382,609,954,954,423,922,696,
122,086,388,956,816,395,453,162,143,366,400,472,304,264,730,699,784,063,740,
337,685,304,982,622,467,413,471,167,009,006,852,168,488,552,452,740,053,730,
622,445,346,992,292,062,177,308,092,791,079,494,043,915,588,561,013,714,657,
724,602,475,970,301,064,524,326,770,224,093,819,736,844,753,998,606,554,556,
179,043,133,393,415,982,368,069,879,756,075,411,459,849,256,570,317,979,461,
262,864,405,117,591,119,389,347,963,919,728,038,122,465,122,264,120,251,739,
774,001,760,425,509,846,209,999,895,606,307,576,942,387,946,153,814,016,899,
649,572,473,322,289,259,616,083,786,258,810,729,487,335,994,048,683,489,268,
863,642,980,265,998,398,453,972,949,777,359,385,965,334,103,228,993,897,469,
841,390,270,247,069,642,731,369,059,314,432,136,118,432,299,749,014,948,771,
930,832,813,923,176,674,802,596,912,244,547,946,446,407,242,802,662,470,187,
101,081,037,991,654,806,095,602,340,685,749,590,545,130,366,685,942,249,169,
125,694,120,613,874,664,189,792,741,827,383,543,032,637,806,343,502,671,975,
490,770,472,296,399,315,206,599,658,978,235,492,173,675,824,630,972,099,297,
702,310,278,884,364,129,162,007,157,675,691,206,616,547,005,357,364,078,236,
055,653,546,622,359,950,365,851,756,301,395,200,626,951,966,368,288,452,459,
214,867,386,342,523,364,366,166,232,514,994,518,528,553,187,284,915,484,190,
999,746,522,884,323,245,826,275,438,780,025,637,110,650,885,482,162,393,901,
868,787,521,134,252,100,694,418,481,341,099,887,311,194,562,623,841,513,907,
724,143,924,403,444,842,820,686,830,745,561,151,139,209,964,344,149,838,059,
893,979,230,218,554,628,385,032,376,079,901,769,855,836,436,013,253,750,888,
901,003,533,318,870,868,471,375,398,551,071,854,094,128,950,774,978,451,936,
443,750,252,703,661,206,242,814,555,953,406,527,607,848,202,644,559,239,218,
720,896,666,283,056,396,901,867,638,934,330,353,691,967,712,891,961,384,377,
100,273,713,738,971,283,625,317,683,855,061,282,954,941,021,218,382,270,306,
127,763,523,856,543,550,065,707,957,978,309,359,036,208,387,096,469,517,603,
511,472,082,527,058,336,248,879,952,903,489,209,957,866,863,729,052,584,852,
187,075,450,925,884,201,946,610,393,403,548,151,241,511,226,518,391,329,784,
217,682,727,124,560,121,018,575,370,483,250,916,619,525,716,770,923,184,931,
952,469,089,715,377,341,407,250,121,644,225,837,262,264,372,009,613,818,427,
883,707,362,932,920,457,226,825,063,714,610,618,638,180,443,891,115,376,096,
423,390,243,436,065,045,111,845,848,205,938,319,729,484,249,612,964,105,999,
144,501,297,783,416,249,960,402,566,040,462,711,779,362,584,907,335,899,052,
410,733,293,787,634,061,354,064,731,126,374,289,195,295,186,955,184,919,333,
770,331,263,559,071,650,449,062,874,907,489,460,814,875,129,278,847,734,875,
690,388,243,583,715,422,415,669,292,021,230,963,379,597,325,239,501,051,602,
570,833,038,768,856,063,222,598,910,555,916,073,614,724,751,869,610,527,596,
469,231,977,474,724,673,574,874,381,434,433,841,628,128,774,111,617,520,858,
412,799,714,904,498,251,489,581,817,558,239,467,824,932,012,582,125,137,256,
351,764,957,360,072,427,358,649,308,629,336,264,683,122,171,404,049,907,929,
315,086,821,176,266,093,948,105,925,073,021,759,490,968,533,262,305,960,639,
848,647,907,214,222,076,479,125,746,299,306,216,345,680,975,839,619,888,790,
467,904,214,497,639,396,964,727,033,495,241,663,674,733,542,534,201,829,096,
307,353,656,248,087,403,422,663,999,011,187,539,968,243,646,055,979,014,954,
628,150,300,106,323,491,513,459,476,258,989,470,877,597,258,015,706,296,283,
297,278,728,977,771,760,436,452,970,480,442,079,090,358,037,252,762,646,191,
966,214,029,060,945,624,337,944,856,735,389,852,615,108,576,051,822,933,888,
138,666,195,403,819,817,419,516,753,769,786,036,383,851,745,561,553,791,526,
258,980,111,279,929,526,569,193,058,363,838,649,939,774,892,320,224,654,163,
373,969,001,579,187,875,243,477,137,113,722,837,306,882,577,269,019,995,182,
962,393,049,731,908,572,991,411,562,333,831,165,329,334,359,541,493,779,408,
960,089,648,056,791,504,798,787,537,489,356,326,507,339,430,935,304,582,709,
653,790,716,222,807,085,137,988,473,214,390,034,545,858,610,478,616,307,640,
192,700,545,422,540,085,025,369,761,213,420,684,242,820,942,842,620,021,002,
852,586,435,548,858,610,490,679,680,352,456,669,860,118,285,155,680,994,985,
204,610,928,663,494,590,363,392,240,603,260,372,897,127,266,960,722,868,786,
461,377,947,191,792,632,454,457,442,892,725,654,030,646,730,113,910,953,817,
585,605,583,002,335,481,551,204,882,753,465,176,269,778,484,666,982,355,173,
656,914,907,373,687,907,879,026,255,326,415,346,211,580,964,708,534,229,781,
488,958,204,368,234,987,045,669,388,337,030,606,962,944,050,994,451,552,757,
471,708,930,518,086,986,291,931,296,916,443,674,499,131,865,695,894,612,360,
978,090,862,966,468,626,792,604,063,611,436,094,881,366,920,527,679,405,979,
013,787,120,426,628,706,095,667,834,119,701,324,479,025,004,355,353,948,231,
982,857,888,276,229,202,043,652,658,837,946,584,384,851,807,281,073,351,688,
406,871,799,803,023,014,813,396,307,931,636,756,406,496,198,354,077,138,327,
139,758,708,445,100,986,832,570,751,957,758,965,233,099,954,753,245,485,995,
673,638,718,238,308,152,239,521,857,756,811,782,323,557,864,462,835,806,285,
568,489,181,521,551,656,171,537,480,995,746,072,732,422,570,935,714,778,499,
203,137,937,717,905,460,197,830,717,228,978,555,099,022,246,618,647,968,915,
846,515,916,288,899,225,808,173,826,712,443,916,225,143,369,237,017,010,443,
806,602,375,631,002,693,244,255,316,971,099,154,627,355,802,209,033,149,658,
205,444,399,940,989,266,232,047,122,392,148,746,574,014,955,341,195,604,507,
870,676,696,015,325,958,145,141,582,909,531,268,136,731,889,777,642,927,293,
721,471,899,466,380,923,538,814,419,665,092,628,651,497,449,136,082,127,568,
920,628,390,207,688,653,500,136,930,308,626,926,109,839,511,643,546,306,222,
814,127,840,904,103,594,708,371,244,468,087,698,402,949,592,582,364,841,216,
848,149,582,372,603,207,646,291,270,700,678,460,549,759,864,202,347,353,401,
912,864,191,344,228,538,674,500,849,601,015,960,120,362,261,228,102,717,675,
109,264,019,777,688,669,312,544,706,861,895,222,809,243,072,715,631,231,984,
674,987,461,897,847,657,770,725,514,365,532,754,646,305,365,569,948,592,600,
382,853,731,492,409,975,842,675,952,724,472,324,079,995,039,440,432,348,920,
752,126,689,906,825,131,870,648,773,392,775,188,851,699,659,161,998,085,515,
608,106,140,899,187,261,346,798,783,819,449,672,538,494,652,339,392,990,446,
412,310,412,358,656,496,186,748,849,555,820,840,504,509,786,790,443,199,963,
274,799,162,985,931,602,029,690,388,623,477,248,147,648,297,344,990,051,951,
926,763,059,595,859,143,416,945,029,466,001,168,102,449,118,954,664,495,882,
500,400,992,107,233,721,956,736,788,331,832,073,806,763,488,233,873,407,030,
705,842,110,160,152,528,218,411,384,323,946,903,222,903,286,548,042,997,275,
790,568,129,984,883,961,748,341,934,396,406,479,990,949,947,641,709,236,165,
066,352,959,159,582,511,789,317,973,456,122,792,064,079,981,127,814,101,192,
168,410,901,813,649,400,452,008,654,008,694,222,652,027,039,642,026,401,329,
692,178,304,099,326,643,135,213,041,324,236,184,371,678,025,066,443,739,519,
262,399,245,660,423,849,532,975,454,666,135,098,432,438,168,106,390,396,651,
253,713,255,915,859,154,319,532,185,800,814,889,813,264,322,061,250,548,965,
936,948,667,349,274,033,091,321,215,984,652,312,461,913,256,887,325,758,912,
121,089,304,870,459,047,402,117,337,014,715,118,203,164,135,726,875,438,307,
260,256,547,322,434,316,554,092,513,954,242,840,174,513,929,232,538,163,432,
567,339,265,932,470,296,329,882,613,504,648,227,863,879,512,744,336,649,211,
749,487,764,920,276,284,616,781,991,747,903,317,819,236,110,852,536,865,777,
028,606,265,026,049,943,720,442,368,792,399,107,237,229,787,166,339,609,337,
094,978,860,211,616,305,123,008,773,562,733,865,453,176,320,298,532,549,647,
786,707,050,007,697,303,413,286,621,601,483,582,061,854,678,868,695,815,959,
719,029,428,674,826,047,742,656,209,265,721,717,691,081,033,052,011,786,268,
634,093,085,120,700,653,503,618,666,965,154,428,995,408,367,590,568,642,202,
231,065,901,705,619,279,054,178,648,496,704,344,021,318,837,921,714,023,551,
909,998,752,547,278,669,329,007,365,580,995,632,704,222,114,583,365,098,432,
295,418,447,024,005,838,675,227,721,030,947,659,703,568,752,486,288,291,491,
493,501,856,012,700,221,061,652,676,210,095,369,447,433,696,662,391,042,505,
830,265,346,099,749,257,686,618,583,331,885,595,639,586,869,501,606,132,737,
228,313,857,261,977,570,589,398,346,556,304,311,765,112,592,582,544,811,466,
545,226,105,694,792,953,118,776,777,081,726,203,462,747,362,910,825,937,136,
902,073,782,069,873,904,189,673,701,865,892,998,534,284,775,181,565,161,218,
000,259,265,397,557,563,380,491,935,362,009,636,417,840,265,903,244,428,818,
179,979,871,774,571,384,135,867,546,059,471,686,921,766,799,461,288,720,352,
015,580,322,973,451,679,597,659,239,413,244,450,385,338,503,241,355,703,368,
645,721,457,581,304,592,903,076,663,999,892,685,719,667,152,463,583,236,328,
083,765,091,575,470,010,538,973,853,897,708,925,242,798,781,007,622,813,542,
906,225,195,666,582,464,880,103,760,560,909,917,322,958,601,186,999,906,820,
959,064,118,379,629,281,058,687,140,395,412,677,291,399,181,867,550,111,694,
650,950,874,586,402,764,603,678,093,642,209,441,587,186,630,656,924,002,586,
762,500,873,354,975,567,318,285,420,600,682,121,901,156,172,042,582,650,163,
606,688,345,501,844,547,355,830,978,294,608,042,484,422,899,535,452,305,502,
615,532,070,175,405,359,447,856,626,531,043,042,841,153,277,058,360,153,597,
894,520,495,354,480,887,958,844,003,557,425,453,222,745,680,393,101,465,696,
190,865,440,291,028,282,627,030,395,817,505,319,898,882,715,245,306,019,823,
119,293,747,486,042,079,033,607,226,014,557,538,657,007,244,249,179,913,776,
471,560,565,563,705,275,183,771,946,735,613,532,682,590,145,362,007,190,894,
501,570,525,244,205,762,430,312,134,612,236,508,160,565,283,945,880,244,404,
376,490,921,154,741,316,856,284,280,789,495,043,557,708,551,270,327,367,549,
846,982,059,980,845,120,718,589,402,712,766,670,886,822,195,950,719,898,169,
305,199,445,894,630,034,386,683,426,560,315,974,156,786,551,187,561,506,943,
538,448,233,143,001,222,684,506,664,376,527,074,302,366,653,910,180,664,881,
821,010,595,529,783,470,283,447,886,742,431,811,901,483,054,233,280,528,814,
993,810,263,340,018,640,528,803,362,460,780,728,788,386,540,109,065,290,436,
427,200,152,106,117,478,868,668,651,053,931,135,211,263,479,137,272,791,797,
847,745,166,997,705,837,039,167,415,108,915,946,537,942,500,861,726,776,527,
536,087,221,968,083,653,155,331,841,481,056,236,778,831,168,307,095,357,939,
175,736,807,890,685,008,730,777,912,002,733,453,322,229,104,198,707,833,105,
911,359,992,189,333,313,933,685,974,629,218,750,054,557,877,112,307,505,522,
382,810,876,595,877,137,347,807,246,130,928,941,999,067,899,789,718,115,443,
710,900,992,129,858,772,143,573,162,877,890,519,769,765,883,916,267,901,103,
437,214,066,591,956,978,856,635,731,621,220,721,955,852,236,249,859,738,600,
822,731,478,959,600,501,533,545,647,355,834,991,417,794,614,951,265,393,770,
149,473,558,881,940,577,308,124,399,930,405,556,078,186,578,698,261,841,292,
914,721,335,578,875,317,074,315,089,561,219,224,396,482,279,111,750,021,581,
516,373,758,824,495,449,054,205,440,849,113,966,407,949,067,193,100,146,662,
197,012,850,007,342,763,415,940,787,799,577,542,644,617,275,041,434,656,389,
631,414,331,132,159,162,979,512,783,068,555,897,780,182,028,831,957,554,182,
913,793,027,922,952,609,846,874,904,717,463,671,485,418,019,123,083,624,737,
166,489,277,468,852,791,582,986,369,518,766,683,243,568,340,897,732,484,959,
978,712,804,476,018,976,619,154,034,961,950,382,499,722,655,517,157,394,931,
329,707,501,628,506,508,111,711,302,249,503,036,573,989,892,853,847,787,473,
827,461,632,514,052,221,433,656,963,506,708,182,909,053,765,674,524,264,862,
633,650,957,185,539,424,367,273,490,068,535,410,240,403,932,702,490,085,124,
061,565,019,656,380,246,952,454,730,635,480,588,858,407,740,339,407,690,061,
563,101,197,288,701,413,112,117,187,559,260,995,564,481,095,009,590,684,590,
595,480,011,808,462,443,560,939,852,117,834,637,294,420,812,384,369,824,216,
040,542,971,670,743,927,803,612,830,678,675,625,213,493,595,931,021,708,693,
588,471,613,758,802,279,830,169,329,261,961,216,496,459,004,229,682,964,092,
696,990,527,921,447,050,422,670,053,931,005,806,495,414,201,493,782,201,640,
452,674,814,965,963,013,550,144,252,063,430,027,527,785,639,958,621,878,934,
586,249,823,534,669,562,974,033,792,389,191,319,351,576,962,694,498,369,674,
684,556,986,467,062,583,667,977,319,184,003,922,727,388,853,582,397,164,740,
025,439,912,736,352,813,135,357,323,928,618,976,989,344,079,103,349,108,259,
284,742,645,816,939,046,312,854,697,741,395,002,111,141,591,146,876,823,030,
481,124,876,746,037,261,983,573,903,229,053,091,406,919,052,138,399,719,726,
623,279,197,587,215,775,322,417,503,065,945,813,859,147,279,561,439,936,903,
142,970,369,167,438,218,875,371,409,849,007,934,460,259,926,029,003,543,263,
664,629,037,862,920,315,460,353,812,993,021,715,975,003,535,135,200,819,487,
626,145,375,330,449,756,977,328,446,814,423,878,416,558,547,316,588,340,391,
483,298,532,719,755,346,109,334,757,968,583,205,664,685,963,661,063,727,631,
052,187,161,605,868,445,663,096,219,367,213,477,357,386,287,016,032,320,388,
004,477,236,953,514,023,673,549,195,684,417,248,367,286,054,021,215,444,188,
075,373,093,401,591,567,685,949,723,058,227,676,528,457,160,771,719,636,115,
820,719,259,730,488,250,174,740,986,284,084,912,221,434,435,241,883,453,805,
967,240,587,691,215,832,863,652,576,353,895,395,223,745,366,651,832,164,611,
309,477,264,517,161,792,746,398,875,567,729,853,257,692,830,999,463,134,056,
864,662,958,858,092,558,263,627,617,163,344,956,694,196,828,779,192,984,815,
777,956,115,644,649,399,171,395,528,552,833,214,039,462,481,266,414,984,805,
261,190,945,661,490,892,754,585,674,058,109,257,038,721,801,414,718,889,292,
493,586,008,063,384,837,909,909,181,132,166,863,140,194,272,082,829,427,280,
092,144,725,702,458,033,919,011,269,196,004,991,349,068,352,881,179,000,485,
936,004,129,087,917,068,165,703,269,580,763,906,839,068,029,587,509,594,239,
989,478,081,728,705,328,220,129,131,538,372,928,193,447,541,343,358,001,837,
077,055,193,768,630,684,927,067,031,496,005,739,242,583,359,690,752,482,392,
020,613,253,965,577,122,652,222,229,193,988,453,868,106,549,437,514,184,035,
059,569,741,384,346,255,510,440,512,948,105,029,967,070,814,759,621,730,286,
235,574,958,094,449,158,487,869,655,368,419,302,532,836,049,079,859,811,362,
895,118,211,950,791,710,356,415,459,116,782,885,093,562,904,514,560,714,266,
093,031,176,961,497,310,345,583,109,077,486,410,912,100,061,544,769,210,607,
702,232,631,771,927,764,909,414,180,572,811,496,239,929,736,247,102,694,533,
558,440,972,865,858,523,799,594,575,860,164,929,854,103,212,214,299,026,406,
931,018,822,642,674,633,311,106,862,207,378,944,822,110,515,147,109,034,014,
889,627,464,173,729,248,651,563,855,883,372,891,739,991,915,924,224,206,685,
489,669,578,992,193,099,916,671,968,210,401,905,223,713,307,747,118,489,062,
121,682,337,750,069,171,525,712,945,044,674,099,502,204,770,731,479,636,677,
140,184,791,735,028,052,479,130,375,275,895,930,223,322,086,016,819,948,483,
222,316,284,629,836,220,843,242,614,279,667,317,334,316,145,524,354,109,653,
531,254,164,788,408,453,125,008,089,359,587,630,301,825,621,134,122,335,614,
788,628,834,814,867,062,552,803,522,887,672,025,407,568,037,092,189,076,280,
239,151,175,485,403,286,611,724,693,680,276,194,481,154,055,524,902,162,013,
133,939,130,098,841,757,651,667,889,794,667,605,433,688,456,957,951,801,026,
395,086,162,200,185,611,553,056,847,652,897,544,893,287,901,238,957,123,361,
340,892,865,373,565,457,531,533,418,534,570,137,514,177,449,389,362,480,384,
063,718,687,033,045,066,295,422,737,445,585,971,784,015,178,885,514,643,458,
419,014,936,143,730,947,883,090,676,642,377,121,504,031,845,372,254,498,246,
443,728,021,492,148,185,817,424,590,520,632,497,073,221,622,021,205,087,502,
832,759,763,398,799,337,040,862,085,942,380,838,458,949,910,245,629,685,798,
458,927,056,256,023,129,811,227,615,683,120,815,479,318,434,252,549,616,002,
011,594,399,803,920,218,743,490,268,335,308,414,052,763,409,069,689,721,312,
025,911,623,040,223,727,990,078,181,025,602,346,889,153,665,484,363,848,719,
772,228,255,068,647,853,461,003,772,341,828,561,841,602,276,917,266,562,162,
489,308,147,511,621,808,480,924,749,245,574,608,536,896,840,673,847,093,970,
567,991,152,180,891,895,607,206,830,747,535,821,946,015,725,742,576,034,059,
110,989,309,543,623,516,893,050,283,247,350,811,148,501,207,814,433,010,419,
403,237,600,546,436,615,588,942,506,054,048,430,590,403,896,215,143,679,054,
085,594,060,471,245,059,698,439,851,541,204,724,657,740,543,037,712,344,244,
450,439,324,381,450,563,090,415,445,547,125,281,621,921,991,627,611,993,152,
593,632,559,235,479,836,417,536,012,721,198,103,674,220,658,891,686,884,075,
072,856,208,976,888,895,840,412,677,312,038,341,017,159,914,266,338,220,643,
354,218,155,274,662,698,720,403,967,140,178,191,484,645,086,063,356,668,722,
878,599,438,498,801,623,818,726,962,880,520,299,990,381,845,500,736,521,734,
045,989,003,397,293,114,007,231,372,989,242,580,352,841,546,786,600,133,664,
001,187,568,481,966,988,345,608,505,962,008,303,586,085,679,672,556,036,127,
058,423,899,845,189,340,880,806,268,031,606,788,604,608,693,348,648,037,263,
907,959,719,855,938,204,113,282,851,519,924,227,346,475,688,281,684,837,894,
376,327,522,393,961,780,690,638,798,133,655,785,952,538,352,772,465,761,548,
251,208,354,635,485,741,459,346,123,085,138,560,970,461,780,949,451,002,768,
027,672,891,682,414,560,544,173,663,201,342,842,867,245,314,327,264,240,425,
658,554,555,613,697,981,238,539,719,535,418,993,619,321,066,527,038,187,196,
498,385,316,845,329,342,921,513,865,671,551,914,248,304,215,357,663,593,325,
774,955,912,487,093,623,964,810,620,741,548,516,781,617,716,464,893,118,100,
295,286,799,063,192,779,292,359,107,083,559,392,281,086,192,917,866,798,842,
002,593,976,731,021,001,479,751,520,565,243,868,082,820,958,619,627,061,912,
393,175,850,873,586,312,318,158,619,695,048,085,930,117,405,421,822,135,660,
534,851,393,371,541,764,079,264,946,244,812,906,953,527,529,316,315,542,626,
207,086,248,240,582,410,204,222,159,922,986,647,663,265,885,243,787,710,718,
695,269,807,508,123,341,188,339,028,589,848,561,908,508,237,822,910,971,332,
995,623,231,645,056,631,499,634,432,686,862,305,875,068,215,490,246,014,455,
708,973,425,845,450,195,381,848,904,647,112,786,626,193,611,018,258,492,936,
745,593,741,696,398,024,478,176,239,576,136,467,149,155,193,819,443,153,155,
515,969,743,922,589,656,266,485,200,485,049,075,561,089,909,098,468,794,618,
465,655,750,955,194,806,920,135,912,432,616,126,864,219,851,952,742,951,055,
652,939,889,305,085,174,825,564,367,519,424,181,990,048,869,667,696,859,755,
121,260,597,559,102,970,397,256,711,510,160,144,171,866,081,586,157,763,903,
931,405,558,347,327,942,953,483,520,899,341,622,528,264,674,503,517,429,235,
918,856,135,953,029,995,778,418,208,902,235,088,476,878,668,249,046,038,788,
973,324,440,515,403,710,221,840,883,176,518,279,271,556,431,786,459,681,703,
602,079,014,392,711,199,324,296,312,783,293,513,964,017,094,497,958,568,806,
692,759,752,123,322,095,232,554,493,228,032,989,972,373,470,106,108,589,036,
597,928,863,773,179,638,850,136,683,642,245,928,112,517,128,689,030,191,055,
498,581,587,779,435,928,297,787,538,046,710,622,081,851,084,423,080,584,317,
799,755,812,880,255,305,086,730,056,274,487,263,180,926,707,485,878,324,111,
808,656,037,210,884,994,280,127,485,474,701,060,490,561,524,825,125,265,536,
048,261,737,347,554,975,835,437,409,870,291,865,817,024,690,751,161,900,665,
628,564,200,266,286,703,922,149,537,359,126,150,563,208,787,405,830,099,447,
889,196,109,181,738,074,018,584,832,951,348,710,066,122,457,451,522,777,618,
196,201,690,131,436,896,636,566,076,752,276,185,179,368,159,121,613,498,723,
530,234,062,393,097,853,328,454,733,407,789,937,730,642,547,494,516,040,330,
098,745,176,361,067,479,551,153,723,817,589,005,651,715,129,558,195,644,369,
017,709,560,334,126,891,311,715,985,227,871,654,452,634,278,189,334,919,286,
514,633,383,605,221,889,246,260,808,530,021,655,061,685,654,493,705,449,660,
444,920,719,506,735,029,940,795,243,486,072,466,304,454,289,065,776,141,077,
203,872,849,343,867,476,254,201,539,909,782,045,367,670,252,065,653,314,912,
326,186,048,717,623,622,502,876,067,301,386,349,056,499,155,836,607,761,482,
804,143,058,664,251,318,591,718,423,433,691,491,724,883,506,869,534,536,324,
845,040,412,663,314,610,561,771,319,601,988,603,702,072,508,082,570,225,269,
164,988,466,558,481,045,763,205,616,293,929,529,001,492,732,654,924,643,596,
396,548,546,278,526,389,173,740,455,881,159,588,222,301,671,936,632,793,195,
969,637,994,635,168,886,424,254,720,727,448,648,699,999,635,275,636,851,056,
297,937,966,083,674,849,859,859,200,276,959,303,734,132,152,082,064,467,110,
461,672,804,498,370,813,219,199,939,526,658,211,996,729,212,755,023,735,450,
291,154,947,910,040,357,097,325,650,420,506,037,552,165,984,925,084,788,583,
536,169,440,783,269,742,870,069,043,124,255,731,485,712,897,561,843,254,687,
815,463,380,398,202,336,814,771,646,258,010,925,631,368,134,170,376,692,584,
301,236,897,929,684,100,435,798,609,673,880,803,438,373,173,862,013,440,259,
770,744,478,895,569,847,069,187,725,275,861,409,579,300,542,873,577,295,180,
864,636,544,116,839,811,198,402,726,090,566,898,250,778,777,736,095,820,862,
429,026,205,723,225,850,629,896,340,257,984,274,329,380,589,379,587,848,688,
626,656,784,793,933,085,711,309,396,110,910,365,468,714,310,751,253,161,130,
717,762,978,557,657,714,295,158,188,025,309,295,415,967,853,039,495,553,595,
296,011,232,408,037,413,397,214,948,199,945,168,348,713,918,162,235,892,582,
419,458,048,940,576,359,997,129,702,061,047,479,241,497,734,477,541,258,802,
904,882,505,989,945,272,460,103,613,291,288,727,416,402,054,051,175,969,068,
202,655,915,988,176,308,224,382,269,386,380,282,959,040,584,538,532,203,167,
455,777,826,777,234,698,494,461,997,105,631,404,160,201,434,315,569,145,067,
115,495,207,383,123,681,351,481,755,134,116,018,525,376,929,263,757,881,945,
816,027,676,289,788,568,783,616,399,536,318,620,545,126,081,574,529,043,257,
399,526,772,066,670,568,213,471,799,563,530,055,299,990,676,185,064,111,067,
265,754,791,922,325,281,927,428,083,855,237,697,812,875,576,588,650,420,648,
386,342,988,138,212,974,640,900,333,395,229,353,084,688,106,800,584,849,570,
187,309,227,318,228,980,935,235,477,533,631,151,806,377,791,648,499,125,700,
194,876,182,158,126,653,208,690,961,452,605,593,137,098,353,031,829,046,610,
197,856,165,038,845,076,224,020,555,773,401,434,321,209,766,219,380,896,416,
576,756,826,421,762,119,590,962,691,404,315,606,409,688,724,282,580,381,901,
993,174,696,586,378,087,874,466,803,053,139,850,658,896,213,903,306,354,191,
670,038,939,427,565,143,272,282,152,934,034,286,761,954,801,106,503,965,088,
802,520,714,259,240,051,076,666,064,366,241,888,549,052,024,148,806,246,679,
287,501,145,453,835,784,439,022,033,321,864,149,266,157,736,698,516,369,389,
718,645,689,510,108,914,912,195,092,452,130,343,007,003,418,145,207,775,348,
652,694,686,670,702,954,443,829,841,258,467,199,040,316,476,316,558,655,451,
527,037,959,044,109,568,151,599,457,900,676,662,716,831,905,516,435,081,804,
769,074,751,448,960,077,854,474,623,072,659,890,020,009,441,565,509,576,042,
012,929,147,057,663,298,415,890,913,732,716,784,599,616,554,652,187,259,104,
520,235,665,014,406,304,421,004,853,028,975,296,019,491,613,197,197,261,248,
994,565,232,346,084,503,418,497,975,562,776,684,036,839,666,915,369,436,104,
568,343,469,585,053,720,984,474,585,362,005,572,892,131,261,011,729,206,789,
475,781,744,455,974,668,586,033,150,952,622,188,866,408,512,891,801,821,838,
838,072,921,131,007,737,551,438,422,023,907,967,317,424,552,022,709,738,235,
677,205,282,965,100,667,883,015,853,400,912,558,674,134,896,092,593,776,600,
325,500,120,137,970,240,179,351,451,147,307,127,606,736,868,689,325,513,451,
643,620,877,555,558,486,907,493,378,127,023,412,806,523,725,040,691,020,578,
259,982,488,856,440,739,887,642,389,525,849,104,652,467,558,666,305,626,652,
899,704,437,026,196,016,411,348,405,328,781,246,188,073,187,556,863,345,714,
719,105,606,917,793,349,348,786,794,661,958,898,757,285,984,621,422,073,910,
593,659,775,082,064,698,234,682,950,776,273,776,980,804,584,023,973,429,166,
217,861,480,565,288,481,957,014,824,584,180,189,142,089,513,375,354,971,997,
097,661,180,356,327,068,547,445,757,997,595,955,057,666,957,028,949,197,793,
853,475,509,813,168,841,306,960,256,892,671,656,475,237,790,285,388,045,017,
948,238,329,479,764,840,515,230,350,178,904,562,378,260,687,126,612,970,049,
946,305,371,918,640,670,387,461,329,703,994,367,753,360,476,176,657,156,314,
701,568,457,657,389,617,301,513,631,620,451,999,193,260,818,343,117,004,529,
828,068,426,124,998,222,216,516,397,109,062,006,645,147,522,894,074,586,680,
889,906,225,471,797,088,568,947,163,804,585,903,183,835,254,096,364,382,323,
152,231,120,348,856,582,571,650,814,764,214,263,308,036,795,291,191,773,985,
059,126,860,950,058,545,045,179,244,487,556,011,162,530,962,633,251,885,544,
014,453,593,376,508,673,251,590,302,852,901,271,850,533,121,304,623,369,322,
678,628,707,629,047,530,829,158,454,693,584,678,287,113,627,392,063,318,516,
316,410,466,953,025,897,153,912,581,509,542,328,977,121,539,681,032,841,842,
781,450,519,498,134,637,288,398,039,242,753,824,241,963,018,008,525,979,784,
982,736,749,513,304,779,579,755,583,544,965,577,298,701,915,747,151,870,044,
841,870,883,222,165,158,196,953,600,016,357,584,079,294,188,926,173,986,540,
091,481,247,724,046,880,760,360,768,503,567,832,228,067,419,582,172,300,469,
968,879,062,308,545,921,526,849,614,815,470,925,012,579,855,626,182,645,443,
934,574,012,432,931,205,674,415,820,939,386,924,388,078,149,339,118,640,203,
904,338,257,908,558,109,401,706,319,055,702,629,844,286,561,179,982,070,386,
653,847,173,035,222,480,451,096,733,238,457,289,754,296,436,744,865,730,370,
999,788,922,848,217,806,904,089,338,986,426,919,139,615,306,612,638,241,773,
549,848,080,255,273,481,410,706,667,376,691,885,339,374,261,388,074,079,144,
436,057,373,657,222,395,891,533,657,710,328,042,222,510,738,146,063,745,586,
195,435,750,801,531,991,778,500,794,101,062,161,492,614,942,526,660,039,607,
348,737,072,428,624,393,486,680,955,031,016,470,047,492,309,614,557,253,533,
266,229,461,138,801,340,976,356,038,731,601,614,276,391,437,340,859,436,908,
408,042,793,333,877,013,736,990,786,558,259,769,785,345,567,402,781,564,829,
044,289,993,724,149,059,753,994,001,614,933,527,014,655,176,296,214,557,160,
316,317,098,576,264,553,760,747,940,149,484,852,777,512,203,666,737,553,663,
164,171,439,654,988,157,938,274,742,740,750,456,336,619,286,463,832,776,856,
566,002,493,298,444,139,819,516,833,279,176,139,088,772,195,867,275,958,172,
602,473,843,670,197,742,304,991,639,436,756,545,034,577,163,623,744,837,174,
852,677,642,085,820,527,254,740,009,323,238,107,130,676,723,764,195,077,315,
095,915,519,420,262,786,393,508,761,764,450,679,282,193,975,583,179,316,527,
938,590,187,182,561,750,011,425,791,059,748,588,039,674,484,759,153,071,227,
452,817,372,051,743,636,095,199,808,823,860,583,499,259,920,280,790,820,676,
821,304,709,659,780,510,707,851,161,727,524,786,088,832,549,428,912,501,461,
531,646,563,758,655,449,954,525,324,544,847,400,146,269,103,016,812,733,121,
078,729,697,027,889,005,325,732,399,806,042,191,676,355,719,687,666,216,219,
740,042,032,332,706,536,210,232,735,336,264,937,159,851,323,536,749,125,696,
916,190,620,463,843,346,664,219,746,952,769,721,499,756,453,202,178,991,387,
013,951,874,920,156,844,648,452,718,469,276,563,389,320,289,593,251,620,777,
844,451,921,172,352,155,555,647,880,072,382,833,016,284,863,977,858,060,456,
516,318,238,727,127,610,379,787,816,386,629,232,760,095,453,312,568,307,326,
746,619,014,520,527,436,832,798,975,437,692,264,116,985,446,321,812,919,746,
691,310,095,383,203,517,697,276,922,816,357,297,977,617,424,750,550,137,012,
032,369,445,834,489,462,099,432,339,635,799,032,406,720,838,878,498,180,600,
654,985,588,010,739,809,866,748,860,561,379,980,780,483,113,645,725,525,588,
097,313,980,831,980,325,739,088,000,574,160,042,877,666,615,070,783,727,747,
573,210,806,988,972,540,931,949,701,288,318,126,592,664,075,593,498,549,688,
420,347,352,721,699,633,226,935,753,925,088,953,569,427,251,605,252,694,333,
350,600,486,222,534,268,813,638,562,065,009,567,881,824,536,246,323,084,094,
380,104,970,808,909,842,348,143,613,765,670,420,732,737,633,331,042,027,216,
670,276,338,037,659,120,408,208,256,315,445,473,972,698,172,892,009,812,059,
146,832,186,681,871,812,795,090,693,160,023,886,963,504,323,000,839,053,731,
612,483,519,305,962,629,312,845,878,758,692,660,114,296,683,167,455,564,014,
252,869,822,995,546,081,577,231,519,878,548,299,888,093,086,142,163,028,671,
672,533,721,710,432,972,866,216,995,422,479,030,802,946,851,124,571,774,285,
480,814,063,223,631,669,328,142,635,772,271,817,794,583,265,985,776,247,454,
116,036,890,646,021,085,230,639,358,839,978,280,456,042,843,636,715,707,430,
526,903,598,706,953,470,548,547,016,216,390,692,916,389,134,705,968,252,601,
939,154,403,855,517,192,654,501,114,791,701,830,541,166,914,677,715,757,919,
640,158,664,616,853,514,767,912,852,724,865,464,252,022,526,243,901,475,645,
771,028,415,721,338,400,721,249,999,986,602,195,209,343,025,660,789,238,551,
841,115,011,848,740,332,438,432,614,717,363,428,693,777,952,824,356,076,282,
903,046,983,517,604,590,439,922,766,397,589,590,166,886,255,663,573,381,566,
188,046,611,507,887,400,512,855,376,710,000,150,035,184,701,767,715,650,890,
808,914,467,002,280,426,224,631,218,203,150,615,703,303,624,043,398,765,515,
824,929,179,351,568,314,207,226,595,989,324,560,103,681,368,035,964,174,002,
576,240,208,911,803,125,346,522,879,061,656,455,662,147,019,337,029,188,173,
751,503,255,089,727,452,113,679,934,782,440,371,441,229,206,642,800,139,371,
057,227,272,420,919,973,897,806,030,705,494,571,034,380,110,217,870,617,580,
616,417,939,499,305,014,185,845,326,725,926,691,219,745,200,719,817,538,793,
751,894,400,984,977,289,997,618,245,734,228,341,311,227,976,844,516,823,505,
372,600,795,775,251,200,291,298,912,443,596,986,848,219,462,704,517,608,284,
459,074,594,793,640,354,326,716,832,989,227,349,803,311,473,031,714,699,925,
442,917,487,755,661,627,761,774,157,144,111,871,329,992,145,821,356,965,385,
976,013,933,518,938,602,259,529,044,954,084,699,224,565,498,480,244,721,927,
808,392,802,379,292,295,513,606,108,026,589,250,976,716,984,772,746,300,710,
491,941,407,621,072,984,928,603,171,017,751,270,080,244,535,413,746,687,727,
470,880,516,893,159,234,500,083,909,520,876,428,304,072,767,619,999,508,350,
833,443,012,310,767,738,369,266,407,123,595,836,508,310,565,208,241,182,019,
546,594,848,878,840,799,948,133,403,459,485,861,291,573,919,444,127,008,920,
216,393,829,251,138,038,775,872,131,511,708,924,020,760,150,691,101,014,245,
937,013,465,915,665,569,147,942,314,686,459,158,167,659,490,161,686,542,762,
437,949,092,579,104,886,847,518,920,074,208,403,706,638,487,097,859,756,392,
478,936,667,791,935,959,737,361,583,151,051,380,089,865,683,634,523,691,358,
250,345,301,883,271,455,354,774,021,480,324,844,515,062,700,188,330,928,070,
521,958,974,376,179,297,697,895,117,009,037,135,097,773,548,337,457,427,537,
305,331,436,352,074,716,066,185,076,454,595,644,317,068,463,474,120,220,576,
787,347,435,153,196,252,800,869,168,580,212,520,238,575,362,435,376,044,680,
777,857,410,374,869,794,042,920,836,469,225,853,576,302,927,674,158,584,676,
693,936,212,260,681,862,629,572,628,844,191,788,224,369,461,978,322,770,712,
354,994,377,795,096,370,812,383,203,481,248,812,950,515,283,778,327,344,075,
267,683,327,163,912,751,701,029,707,058,135,735,244,907,503,644,203,864,082,
556,852,743,822,663,591,915,619,048,291,480,957,169,168,508,710,176,721,384,
817,693,059,755,953,882,213,643,353,500,167,797,256,381,138,031,138,763,351,
447,876,203,763,497,651,072,022,805,423,335,965,826,351,752,417,317,100,893,
187,788,111,243,564,085,917,828,048,931,481,452,553,523,409,531,639,309,053,
577,187,700,672,128,790,942,843,706,576,742,520,775,534,456,801,202,749,386,
352,100,644,382,780,621,852,032,891,952,744,884,749,570,861,777,184,466,877,
408,053,408,222,333,468,983,627,766,197,464,629,525,626,959,805,116,577,901,
309,922,776,484,394,696,400,007,835,382,817,989,351,573,346,877,491,187,702,
662,746,629,396,344,950,114,719,285,844,381,125,697,971,282,945,352,806,955,
168,842,151,144,289,781,900,958,923,665,373,293,016,796,529,311,209,325,068,
440,897,766,900,086,478,739,650,361,483,875,419,439,557,763,401,082,779,236,
118,328,430,109,687,214,411,829,492,204,225,090,719,976,407,097,083,920,426,
865,752,782,827,088,372,422,893,059,349,618,940,004,644,240,321,538,130,422,
398,870,986,548,779,408,854,633,763,986,545,239,684,763,592,600,799,803,288,
132,697,578,983,636,182,954,236,902,642,701,570,973,989,135,967,897,386,998,
940,838,393,711,357,886,147,407,011,955,558,243,780,196,260,667,102,986,706,
186,685,839,579,226,130,786,678,922,786,291,446,584,659,927,779,986,021,537,
885,958,694,797,027,039,417,228,167,052,482,538,877,426,017,234,730,421,743,
510,662,002,144,377,299,876,657,831,029,916,440,624,943,031,282,975,160,510,
032,374,424,806,575,092,230,151,876,007,696,717,473,347,561,020,567,519,974,
409,095,449,171,683,643,932,217,711,149,622,887,595,211,459,480,154,509,813,
141,934,591,464,711,654,269,065,226,370,402,179,416,562,921,160,241,010,647,
321,988,726,448,019,049,801,765,312,393,197,208,394,517,273,434,719,460,661,
649,897,455,394,979,133,194,103,680,777,512,752,159,073,095,192,035,117,872,
643,961,835,894,589,133,216,372,339,032,888,680,644,673,139,220,764,939,396,
468,971,696,091,019,909,216,010,280,140,584,958,806,079,945,335,275,578,572,
684,833,439,016,403,008,238,227,423,378,812,092,118,900,258,043,012,688,644,
834,289,745,411,332,163,288,295,654,355,984,915,813,250,115,266,829,209,506,
877,607,490,347,243,206,347,220,937,697,808,732,214,529,494,203,380,184,049,
224,419,511,482,306,169,701,954,952,714,883,629,986,960,912,131,376,713,219,
460,043,816,733,085,308,421,054,017,178,847,053,380,866,734,742,875,754,606,
857,600,282,054,618,769,295,877,979,169,142,784,175,926,859,365,838,057,513,
191,330,237,378,919,881,087,098,172,576,817,749,478,376,886,584,205,528,215,
539,327,463,158,977,468,353,916,094,239,894,689,136,859,451,563,376,480,979,
966,243,703,218,369,140,270,448,842,358,191,050,967,205,937,180,661,154,200,
974,099,973,860,206,736,414,157,101,161,005,581,331,295,180,660,437,149,003,
745,713,887,023,070,208,904,045,316,348,175,497,507,720,334,955,694,047,394,
026,229,134,211,336,223,345,333,718,845,453,940,008,220,764,992,153,674,008,
481,638,929,672,630,290,076,987,260,778,169,078,492,510,126,865,687,758,858,
510,017,344,583,280,931,080,105,865,160,566,663,782,446,328,325,604,631,385,
227,926,676,077,138,267,792,811,843,294,006,432,906,459,104,359,681,385,853,
977,868,619,262,955,635,431,207,194,772,400,644,890,991,256,767,645,399,076,
454,424,222,231,995,584,752,721,302,390,215,219,397,420,032,081,640,924,320,
459,288,786,563,428,440,369,665,550,022,375,785,483,816,358,488,830,728,480,
632,156,690,792,366,370,293,242,191,394,250,179,397,065,926,294,139,812,896,
371,713,210,689,148,634,000,689,611,824,943,622,205,087,944,671,082,064,323,
457,295,991,010,332,412,017,474,051,481,429,120,697,081,826,136,820,696,888,
145,618,281,641,029,044,554,840,167,480,611,655,766,210,335,938,855,580,788,
694,441,446,710,742,121,232,591,715,280,205,510,531,925,370,055,024,844,759,
112,721,782,921,940,220,883,872,073,838,625,793,411,716,248,597,534,286,185,
646,961,250,227,560,284,155,005,624,186,752,817,250,308,449,102,376,878,182,
299,123,084,463,653,209,703,825,125,659,053,564,943,542,334,081,704,934,585,
150,655,553,901,840,305,291,520,797,023,719,826,496,440,564,069,230,032,614,
335,339,773,859,433,581,238,577,430,587,984,874,573,798,879,194,557,966,494,
671,477,430,131,809,998,936,170,111,171,740,259,604,859,984,181,508,158,876,
943,905,274,978,355,984,426,361,870,320,231,739,732,320,267,467,130,198,643,
318,866,403,060,371,450,672,403,974,491,209,190,738,109,239,757,182,491,635,
617,699,403,292,721,668,335,168,070,520,163,671,721,601,711,446,214,629,383,
480,469,948,969,095,960,339,797,870,997,400,047,620,143,007,214,648,163,204,
988,250,840,749,734,617,008,640,964,538,877,432,787,744,854,233,102,466,551,
005,129,366,005,588,706,109,654,968,033,661,917,515,254,085,556,794,555,365,
812,900,051,756,113,635,660,734,101,967,258,516,815,659,106,288,911,852,819,
496,178,908,431,373,624,661,325,225,670,821,322,476,747,080,793,032,153,083,
971,488,575,559,014,306,073,049,664,528,769,871,372,941,560,153,938,464,464,
357,032,809,965,567,102,469,366,584,828,079,194,020,708,565,374,413,480,024,
168,949,763,073,080,687,732,812,226,343,183,294,074,847,680,924,325,168,624,
707,538,245,238,416,512,347,536,903,087,638,762,708,991,593,762,451,129,600,
142,304,641,918,326,186,084,244,694,608,350,435,331,583,476,466,272,742,682,
110,029,052,123,325,631,672,026,039,434,492,384,907,222,610,535,661,881,127,
173,316,138,693,986,337,376,912,453,194,879,830,115,207,141,128,447,432,562,
673,776,207,575,359,120,941,893,875,901,057,576,496,727,378,858,953,022,314,
664,127,324,222,569,178,434,954,955,145,566,686,269,214,079,842,877,720,721,
298,201,593,412,847,214,199,441,987,900,079,756,093,593,791,649,661,077,338,
435,611,893,443,626,033,974,869,198,767,811,501,714,680,907,637,984,651,445,
734,520,052,087,200,200,097,801,684,934,236,280,791,836,147,429,504,825,765,
672,360,315,437,225,353,137,195,076,749,993,973,489,468,946,055,561,806,469,
159,056,807,388,041,234,972,989,239,437,362,001,079,072,588,589,834,942,974,
998,850,466,908,364,565,054,079,224,785,772,133,238,198,356,643,684,624,044,
865,350,262,604,325,754,692,146,827,939,565,895,718,618,100,357,481,321,850,
860,150,228,873,740,089,330,367,969,594,363,687,947,680,272,048,349,403,337,
300,239,814,667,450,963,124,962,482,661,337,765,921,496,684,330,630,350,242,
054,149,783,320,509,334,628,536,664,513,510,197,346,620,229,749,789,516,773,
710,438,357,775,179,727,494,139,205,314,950,500,960,421,585,692,204,394,603,
790,462,702,439,717,248,794,767,763,427,613,632,449,601,654,568,236,340,563,
549,388,651,352,052,130,420,884,084,723,143,817,499,388,879,845,600,693,985,
283,013,879,397,395,917,431,420,521,897,893,275,141,074,791,044,181,641,222,
876,151,676,990,552,151,871,370,446,910,608,933,900,662,758,795,651,022,906,
968,748,572,862,540,601,648,874,099,135,509,003,663,416,122,976,153,441,446,
918,547,105,262,416,584,182,694,732,505,701,216,596,680,670,276,949,054,730,
090,327,058,677,235,112,034,297,710,506,593,392,931,783,632,164,000,220,392,
735,356,090,529,937,829,660,817,313,375,902,070,939,956,515,019,070,163,144,
878,447,929,522,372,867,329,880,016,201,564,435,345,063,054,684,150,172,608,
758,598,065,977,063,186,753,104,992,107,866,008,724,306,119,209,803,961,255,
412,855,823,794,234,920,180,582,321,938,026,451,224,657,670,170,575,625,103,
165,308,748,417,911,356,922,968,362,720,578,284,394,667,611,825,898,042,510,
614,641,961,604,925,597,190,694,175,789,789,983,774,053,102,905,291,529,496,
955,210,043,898,666,473,061,955,630,267,401,289,382,225,022,644,428,388,498,
229,061,811,876,359,576,659,054,699,669,597,775,119,180,100,712,168,037,499,
939,014,809,367,063,574,105,301,759,482,585,603,317,172,878,251,932,069,995,
098,658,741,597,061,785,344,435,366,185,726,454,750,626,546,747,637,765,975,
892,496,145,038,155,167,392,099,822,910,296,367,617,857,793,647,635,191,947,
634,394,522,576,947,555,775,323,367,615,623,829,785,547,875,998,526,055,201,
252,936,309,120,297,770,743,805,871,014,613,287,873,492,453,099,598,278,813,
706,393,752,241,613,221,321,430,615,350,871,711,589,159,248,730,526,677,097,
262,013,096,717,821,535,163,846,036,360,937,931,876,013,078,519,955,028,974,
515,627,135,353,144,762,151,600,906,530,875,790,376,915,891,584,717,834,938,
573,206,958,189,969,057,374,471,912,694,684,548,907,703,080,775,492,556,186,
781,800,483,256,013,042,317,074,466,829,764,373,140,833,954,525,205,606,100,
935,622,477,267,562,650,890,976,622,395,403,972,189,918,620,775,138,537,941,
567,305,585,984,632,695,427,901,195,207,209,812,049,992,167,631,622,564,029,
839,254,469,003,088,708,722,039,196,269,967,336,001,851,354,457,695,729,586,
136,157,498,778,802,503,987,054,164,751,508,860,885,668,535,093,533,680,597,
434,341,988,426,242,514,198,662,169,564,151,682,041,399,555,508,367,009,223,
828,820,181,412,163,502,641,864,241,720,875,493,074,967,147,694,862,347,419,
899,762,709,344,818,041,205,142,959,423,794,574,134,498,449,857,261,036,150,
558,752,152,796,603,011,333,999,329,589,748,791,963,399,472,851,366,949,706,
263,864,071,322,747,029,127,545,751,657,927,729,016,583,817,761,473,532,996,
523,575,496,360,482,691,797,327,912,914,252,429,878,880,246,094,468,107,520,
291,890,250,570,815,804,460,872,587,454,185,951,474,419,006,641,190,916,283,
456,247,214,143,694,308,977,313,739,996,917,521,223,481,417,627,468,182,637,
684,360,906,291,310,765,125,377,733,072,890,668,233,653,328,512,739,970,099,
582,653,654,465,581,814,378,127,314,526,325,527,592,885,630,595,054,311,735,
502,157,756,709,521,219,580,678,376,286,986,756,883,356,039,769,601,373,403,
256,389,573,730,905,711,241,771,156,009,954,120,629,895,961,777,935,717,148,
822,364,567,417,611,057,509,201,615,019,493,230,442,997,767,481,282,576,854,
859,823,659,265,898,523,477,184,182,674,714,325,884,246,356,595,622,368,253,
259,264,695,582,672,237,067,462,088,320,259,412,538,024,852,894,830,687,488,
632,046,506,503,975,683,457,920,533,485,615,165,447,132,895,276,551,236,435,
018,974,674,302,224,961,130,536,954,407,141,559,895,104,619,603,770,518,948,
070,579,465,089,691,469,366,234,246,397,058,188,149,325,100,341,994,896,996,
561,999,530,182,481,827,956,649,695,224,730,924,098,498,714,034,806,270,384,
451,501,269,849,541,891,906,149,251,964,686,871,496,262,997,560,386,662,603,
154,762,186,942,535,583,209,298,461,185,176,932,768,200,364,111,236,999,339,
631,190,375,058,322,703,043,706,549,186,800,161,245,500,757,642,194,610,077,
833,802,913,484,747,328,951,766,588,297,780,671,733,253,339,534,929,233,564,
622,684,141,053,250,059,387,966,346,939,656,620,137,292,761,291,087,612,774,
769,228,906,373,705,512,814,763,689,566,614,764,591,372,928,998,289,069,097,
912,412,458,315,441,793,485,152,111,455,800,460,359,652,435,524,051,680,087,
477,854,209,952,880,997,332,607,070,380,736,326,647,272,698,589,634,670,861,
001,056,124,122,091,115,928,716,032,606,767,664,053,240,351,093,730,672,910,
011,841,382,334,084,008,147,429,603,638,807,641,811,959,636,712,586,976,951,
503,970,149,473,405,117,940,326,008,067,853,832,747,820,564,794,277,015,829,
823,225,501,566,093,586,271,586,550,338,162,159,234,136,946,945,863,217,138,
811,192,024,720,404,312,607,665,377,717,972,407,329,351,971,926,642,492,088,
699,808,394,777,905,637,770,596,553,779,789,122,897,167,772,521,568,605,503,
495,023,568,847,484,769,255,614,608,176,260,428,302,121,291,966,520,801,195,
750,176,858,713,011,498,424,545,749,431,685,538,903,173,051,092,469,616,932,
563,817,378,040,723,332,075,920,346,522,807,941,859,473,338,778,569,127,646,
475,097,941,039,707,520,535,240,633,015,784,176,558,363,274,437,912,612,423,
359,768,571,928,868,593,150,599,608,579,056,512,398,713,776,561,336,282,497,
673,437,238,245,978,779,826,065,923,356,947,888,635,292,042,214,239,672,482,
875,385,825,812,227,821,746,175,165,529,109,466,136,284,280,656,434,654,077,
618,168,741,460,743,554,089,347,758,313,858,150,542,515,519,223,962,086,028,
913,196,567,612,130,218,425,690,162,029,768,286,495,798,300,733,351,149,506,
800,726,833,010,059,638,947,974,413,609,494,085,450,198,634,786,310,070,593,
523,433,962,066,096,225,187,041,091,012,620,403,577,146,381,107,977,128,057,
056,841,635,453,135,389,031,199,351,038,275,462,515,216,257,008,438,824,686,
277,502,957,202,053,590,030,816,052,428,929,029,402,994,808,579,699,980,465,
896,818,785,876,014,613,343,567,048,959,569,406,111,005,110,812,253,781,953,
749,378,203,695,460,306,656,470,663,029,429,268,489,443,329,607,041,899,114,
166,202,226,064,937,772,457,839,472,404,432,135,667,796,377,966,455,370,073,
510,178,489,332,751,183,957,035,277,869,462,889,004,893,174,343,813,669,377,
468,751,989,002,214,481,802,580,169,449,564,813,819,482,871,586,469,456,274,
216,467,716,964,293,507,959,358,226,750,663,739,313,339,121,977,792,756,862,
769,402,683,253,913,734,451,207,055,081,902,199,139,391,625,488,231,007,130,
830,737,007,164,031,379,830,375,047,810,981,005,732,715,488,091,968,512,471,
370,907,662,861,303,636,009,618,721,984,260,735,362,218,474,107,402,877,843,
413,197,983,144,816,109,514,507,971,044,688,762,002,769,547,790,488,071,256,
534,811,440,255,205,726,213,306,921,344,621,928,383,754,390,834,776,780,229,
182,805,207,733,203,259,363,591,484,411,565,576,648,741,780,907,866,464,164,
863,222,978,463,787,322,550,327,170,741,107,709,936,399,164,438,149,877,902,
621,645,644,077,419,226,662,243,159,287,398,779,061,213,599,551,381,805,655,
064,171,059,465,888,225,646,312,771,759,693,420,249,443,291,817,259,809,167,
762,140,312,347,464,991,251,701,007,255,208,090,728,345,873,671,989,861,380,
700,413,238,315,928,169,205,647,820,316,970,833,650,768,556,571,029,842,064,
101,048,758,854,852,310,653,671,290,213,528,495,120,622,723,600,270,449,434,
590,756,910,857,061,522,012,318,049,898,625,307,810,153,228,263,996,947,458,
168,381,101,013,442,271,217,409,660,813,493,679,444,868,901,322,201,317,038,
976,633,739,792,854,031,383,179,224,204,303,108,960,565,877,534,377,948,226,
573,636,409,332,076,683,992,209,151,081,620,675,054,556,078,327,854,129,625,
899,843,670,662,967,817,611,594,178,752,337,896,924,386,984,757,661,375,034,
517,949,990,203,469,370,146,051,210,062,120,529,214,986,523,812,243,367,714,
895,278,585,594,351,048,557,442,719,961,639,883,571,452,275,008,974,608,333,
047,837,596,311,853,954,503,749,342,782,890,048,396,919,576,868,469,249,026,
793,681,782,698,210,921,683,291,269,878,714,568,919,355,165,558,262,346,989,
676,655,109,397,471,720,655,206,048,642,038,214,964,901,529,477,142,233,833,
132,863,067,196,673,032,337,611,140,851,502,334,164,208,349,104,947,895,665,
441,233,003,002,303,749,498,890,136,372,792,137,757,511,615,025,776,501,992,
716,724,284,133,179,287,654,472,761,363,386,205,056,125,575,536,031,214,070,
496,715,210,347,853,792,678,068,642,395,908,662,578,067,283,152,431,385,440,
185,265,269,938,618,545,326,194,604,298,416,926,955,174,555,938,435,184,176,
906,394,254,542,760,854,441,705,707,020,324,626,825,585,947,519,133,711,693,
055,433,699,797,356,885,343,492,565,357,067,685,881,247,706,425,642,784,045,
219,207,814,773,895,139,455,285,477,058,129,364,942,603,460,104,883,922,657,
672,785,705,289,518,104,275,174,651,935,426,761,022,253,940,521,915,066,904,
679,214,579,472,625,891,969,753,251,512,516,029,363,851,260,309,048,865,622,
277,087,354,821,516,724,657,489,145,952,862,061,100,650,417,573,393,131,336,
722,157,314,015,133,789,152,437,962,185,240,506,388,247,364,367,772,968,841,
693,648,130,458,107,244,536,282,799,064,538,412,790,807,029,782,864,341,623,
421,677,902,049,261,481,258,460,830,805,696,854,270,753,433,562,576,203,742,
274,677,232,660,092,442,935,148,322,065,755,678,287,203,653,557,101,123,338,
060,489,860,309,334,006,564,447,366,782,093,328,506,933,461,690,235,771,043,
278,395,181,417,174,202,826,401,641,641,128,664,420,367,216,774,553,655,663,
072,039,461,304,247,562,060,285,862,821,892,467,850,867,800,580,390,435,061,
989,691,731,172,045,101,509,232,027,455,473,087,937,787,137,264,432,543,230,
630,553,166,245,781,418,596,154,473,284,377,404,149,157,072,088,460,986,200,
524,783,175,474,582,385,435,368,497,419,827,994,191,306,894,251,302,647,704,
973,440,940,574,524,247,785,750,712,967,036,249,140,410,280,613,065,299,325,
357,011,792,604,126,377,093,836,996,531,300,350,124,843,512,770,816,424,512,
032,048,812,867,343,965,777,498,634,069,573,110,876,383,836,329,157,648,581,
571,982,385,473,361,180,160,352,149,716,639,779,230,377,688,779,715,808,894,
978,530,200,339,083,906,880,689,225,343,957,386,591,285,018,574,029,314,516,
093,835,400,852,103,619,749,751,385,221,990,364,209,100,597,236,508,317,046,
005,325,667,388,486,777,072,846,176,881,478,068,835,220,262,500,818,196,045,
376,156,207,074,107,880,555,580,252,903,324,784,855,625,523,756,199,971,974,
570,305,268,746,014,050,743,050,275,359,823,021,796,027,633,351,584,785,478,
214,653,435,271,130,706,285,727,106,638,653,394,251,817,175,114,917,876,164,
080,725,137,423,145,028,664,197,409,839,389,122,499,124,183,373,595,146,296,
623,078,390,990,113,293,614,864,004,128,030,588,450,932,041,797,323,695,038,
452,958,955,762,672,324,780,411,547,207,076,021,675,963,766,883,635,717,136,
804,286,421,526,149,441,356,953,525,438,705,388,994,976,325,851,137,204,689,
293,840,896,419,843,227,040,565,527,237,472,509,136,126,606,134,931,323,031,
544,191,257,035,188,377,437,852,111,528,179,738,552,235,914,043,863,654,176,
488,803,017,364,221,923,785,101,628,674,702,576,695,428,868,816,295,646,188,
491,393,468,013,364,461,645,935,028,330,528,365,935,998,720,462,954,241,634,
895,412,274,573,330,580,513,306,405,590,670,319,295,177,508,495,742,440,078,
586,025,973,793,843,983,088,026,558,287,229,608,637,837,118,357,289,941,294,
454,656,927,893,502,783,406,304,049,844,922,985,464,372,729,770,672,614,762,
957,635,772,576,353,013,463,964,533,262,431,873,697,263,595,917,663,773,863,
028,775,388,526,829,272,959,647,772,478,401,449,200,712,513,808,102,785,554,
459,088,022,468,395,464,733,702,788,939,955,060,865,548,760,729,662,652,470,
113,990,780,080,952,227,698,512,217,145,750,026,560,749,874,485,827,812,147,
830,177,541,543,056,854,155,678,158,332,815,228,410,481,193,960,901,137,457,
561,055,150,331,267,690,374,824,287,187,155,694,542,017,753,158,066,541,086,
259,331,063,490,764,539,851,121,645,676,200,996,264,470,239,867,358,892,424,
475,403,503,230,954,661,516,623,932,756,249,258,080,335,231,444,014,107,680,
623,414,155,798,349,245,626,415,183,128,896,676,016,541,727,261,813,223,024,
221,209,876,083,159,827,403,257,188,304,599,026,609,181,176,820,697,883,382,
521,190,726,913,658,670,983,392,585,565,275,305,620,371,790,083,025,860,375,
166,638,051,840,219,166,115,097,390,094,275,605,322,376,737,113,995,692,772,
090,697,323,722,093,589,413,790,023,724,501,039,485,382,393,461,198,509,828,
550,241,696,361,515,917,714,186,603,066,217,893,942,175,292,779,131,622,891,
765,061,013,242,946,478,654,174,227,839,808,751,905,551,921,471,859,024,931,
511,739,231,539,536,906,652,748,181,894,388,631,491,160,104,997,604,681,272,
219,588,213,522,851,907,401,944,283,641,716,236,948,459,988,841,243,823,792,
618,857,459,940,708,643,312,168,876,378,007,903,164,141,695,734,865,754,796,
207,056,447,323,284,947,664,685,086,523,095,575,144,084,688,120,057,058,866,
218,916,755,329,126,619,148,126,546,796,461,184,247,270,815,701,342,665,593,
929,222,954,629,446,446,190,473,631,893,386,435,914,426,185,888,273,534,003,
002,153,014,673,333,953,367,203,724,664,846,978,648,954,072,612,086,415,059,
979,928,036,867,601,416,060,042,487,312,604,233,587,332,053,191,634,091,673,
803,127,392,317,942,350,038,854,438,680,862,077,214,987,981,546,223,804,718,
293,829,295,949,378,070,012,343,822,297,737,529,940,111,205,557,633,053,866,
101,048,030,756,671,502,526,402,462,483,405,065,223,891,095,277,131,941,863,
880,962,060,543,188,661,108,509,856,246,376,176,815,985,118,691,164,118,729,
194,610,340,251,948,842,132,912,494,414,538,627,538,265,780,156,457,427,459,
820,433,682,271,333,075,829,507,740,904,152,364,317,268,574,309,795,546,375,
033,047,598,364,438,832,007,240,734,695,642,879,148,615,320,963,938,970,104,
404,472,912,404,812,062,332,541,117,378,261,048,367,890,627,585,478,841,990,
885,218,221,336,773,941,246,405,207,115,842,530,906,168,517,117,803,764,528,
533,075,818,895,020,761,413,411,535,761,965,007,566,921,070,007,873,010,399,
357,605,973,714,879,586,926,178,410,242,208,099,283,741,647,140,854,128,191,
048,742,597,990,528,416,574,951,208,821,798,187,027,775,994,111,423,665,977,
184,301,112,115,800,595,595,851,831,078,921,855,047,480,945,319,814,940,354,
413,487,553,896,988,659,660,302,967,466,366,598,803,652,109,087,577,068,573,
294,309,427,700,422,134,499,865,511,887,212,914,885,771,290,091,274,857,258,
614,393,877,298,771,677,012,752,605,507,851,144,690,438,701,787,425,430,102,
953,652,993,065,833,443,386,906,350,833,052,205,237,994,397,465,426,394,772,
501,401,735,861,688,475,609,034,588,246,535,139,830,805,017,521,275,684,024,
810,957,475,434,713,203,243,230,777,279,895,695,455,940,423,414,771,139,388,
826,955,314,487,355,696,945,131,193,422,296,475,769,966,375,745,587,689,322,
373,348,500,541,500,133,185,315,091,180,432,072,796,884,755,577,988,079,309,
522,715,963,642,785,933,328,170,899,110,617,359,387,441,187,880,303,825,412,
904,307,405,663,403,661,990,271,663,536,080,703,710,721,193,793,765,273,026,
184,814,965,839,942,309,494,673,077,730,638,309,694,757,995,826,560,720,608,
991,536,216,836,030,395,665,058,950,726,752,795,673,594,981,115,000,894,776,
715,716,498,480,475,197,924,975,395,168,056,865,109,412,187,904,358,318,291,
975,308,941,006,583,702,266,946,836,040,060,310,137,935,148,259,459,398,459,
628,243,424,479,728,606,782,286,653,468,051,049,750,726,549,640,057,132,516,
391,857,291,161,275,681,403,112,939,255,509,085,946,444,340,072,898,599,412,
873,398,674,595,071,500,846,353,452,670,445,483,836,055,355,933,645,062,126,
100,404,666,481,893,887,399,141,489,994,543,744,177,852,358,127,220,889,964,
400,815,883,036,228,171,180,219,998,335,805,539,021,085,204,031,638,485,312,
955,472,185,649,361,369,846,074,811,587,038,534,044,000,654,097,700,757,654,
153,306,790,028,969,332,798,763,816,029,323,306,431,739,908,794,835,365,161,
788,916,600,707,425,135,963,080,150,563,323,012,991,795,259,775,474,841,213,
878,828,242,615,523,690,497,370,827,693,737,118,255,465,121,876,643,340,352,
863,417,825,433,832,509,194,205,080,101,349,915,897,637,404,932,078,711,113,
261,282,183,228,968,356,239,756,273,065,615,043,872,998,670,329,824,673,968,
832,752,753,998,186,400,978,365,643,607,883,855,432,423,538,327,427,922,597,
741,873,729,174,518,869,035,219,388,195,925,957,488,458,534,793,333,517,252,
140,592,986,814,476,111,536,993,390,026,280,094,870,020,400,443,085,945,175,
257,350,393,541,374,200,787,112,785,507,865,171,832,523,362,877,168,873,575,
653,956,841,731,596,184,079,002,026,054,030,059,111,137,000,849,162,380,397,
286,953,511,087,603,942,422,102,687,764,144,131,171,187,561,706,169,589,078,
993,693,107,720,586,057,398,851,262,588,165,532,523,386,599,326,482,049,032,
014,097,546,993,843,153,097,794,439,347,287,496,151,575,949,043,436,785,110,
882,467,739,091,805,427,818,799,601,944,184,480,013,579,236,206,146,875,027,
675,829,428,414,665,432,648,893,574,988,408,359,130,218,933,795,879,119,982,
445,185,529,967,859,073,291,986,175,387,702,884,467,041,243,858,030,165,822,
324,108,465,278,523,049,012,057,585,888,434,445,025,033,698,211,486,600,338,
956,958,689,714,680,315,922,784,125,467,788,950,429,410,585,057,282,604,601,
650,613,389,823,426,689,747,923,459,450,599,840,687,295,269,153,513,105,856,
597,265,199,276,969,599,649,240,414,891,087,927,036,228,144,460,127,275,286,
799,001,006,070,816,410,754,414,128,017,372,030,437,424,039,652,345,795,500,
000,546,432,308,249,945,610,598,904,036,935,019,630,459,626,458,707,632,485,
916,840,224,326,884,074,242,640,820,548,446,775,888,246,212,283,226,094,820,
986,466,000,116,353,269,487,856,700,398,069,368,718,939,272,995,445,390,619,
706,328,274,543,273,424,794,907,408,903,033,210,564,739,692,596,037,851,812,
047,107,786,096,038,169,612,034,604,381,137,248,778,350,298,019,114,130,001,
514,657,340,155,734,200,123,691,453,357,399,292,473,348,025,138,472,303,614,
478,286,082,773,536,408,491,311,267,446,530,800,992,558,002,925,288,352,179,
912,021,473,522,227,839,619,656,124,253,273,528,321,970,418,465,371,914,062,
590,880,822,573,304,065,916,293,782,931,615,065,160,081,746,504,497,205,307,
535,502,137,261,142,498,268,842,113,351,497,965,894,606,129,138,250,395,905,
278,372,659,708,431,008,663,531,444,227,710,381,289,937,296,866,348,924,587,
276,222,115,448,906,870,454,648,653,939,820,069,441,530,261,478,346,714,253,
491,335,280,353,443,638,059,321,654,886,451,804,839,078,955,086,117,497,652,
812,587,426,329,594,638,881,595,392,799,985,977,181,489,701,081,226,077,516,
802,393,045,254,512,311,669,149,676,707,129,169,447,462,160,675,897,118,069,
080,805,558,042,641,009,922,413,525,727,778,338,905,280,222,376,483,091,890,
254,264,136,738,780,610,369,957,792,919,679,145,112,132,896,262,277,148,732,
977,495,950,482,912,816,695,205,462,421,049,367,505,782,088,821,441,756,717,
288,825,514,603,678,742,321,822,728,938,626,655,342,454,978,004,511,301,441,
659,250,511,272,109,393,732,992,122,257,509,088,846,268,130,312,827,208,652,
797,612,628,956,536,073,584,869,061,611,379,755,143,846,840,707,335,362,324,
889,609,089,268,922,648,414,699,111,805,247,805,293,916,293,646,964,323,259,
229,823,218,904,024,530,993,417,559,341,946,785,360,279,979,317,337,866,101,
124,710,437,496,264,083,289,743,975,287,693,902,742,315,783,744,418,986,971,
545,070,183,613,197,180,546,931,400,503,167,823,011,693,509,875,748,757,099,
084,931,076,896,622,859,789,955,084,914,621,251,267,939,146,157,754,405,665,
162,969,283,704,170,276,305,534,984,804,287,694,496,962,543,893,844,623,662,
901,992,659,925,484,554,959,727,988,037,750,236,766,422,236,402,482,269,291,
390,093,577,743,269,553,871,618,395,434,332,477,486,109,270,634,028,438,509,
274,021,982,681,753,925,861,286,747,959,069,146,331,368,346,877,915,900,809,
856,418,013,542,259,567,325,756,747,623,697,566,934,119,688,198,038,267,730,
149,844,428,461,759,742,344,812,122,806,592,160,247,847,431,602,032,200,489,
892,143,567,269,269,327,281,357,427,913,613,862,812,165,929,167,862,275,767,
141,429,979,161,776,455,325,938,753,683,233,160,600,895,816,981,570,587,539,
282,929,210,758,512,972,118,977,617,794,733,698,028,271,928,083,901,443,927,
721,565,007,100,616,021,590,372,335,020,992,495,201,045,609,379,422,820,803,
309,830,266,405,022,949,302,489,995,691,141,392,522,996,315,935,834,873,573,
435,932,809,378,460,597,985,108,664,218,711,808,958,862,448,438,709,878,739,
159,448,330,678,159,723,550,091,076,583,375,034,521,341,293,434,816,268,562,
288,761,342,031,422,313,971,593,246,404,568,113,553,623,998,406,463,887,086,
684,484,091,082,794,159,441,200,670,174,069,144,248,855,096,095,518,266,466,
502,638,519,448,616,328,380,102,363,747,333,943,479,045,218,963,860,634,877,
752,303,457,936,475,591,507,729,653,231,422,630,820,994,114,586,174,940,150,
894,856,725,299,997,085,649,644,150,491,777,430,380,738,745,113,845,905,641,
116,361,572,865,120,332,105,501,591,890,025,325,730,529,999,896,559,529,040,
437,339,626,854,593,656,467,471,094,695,345,475,942,008,016,919,207,868,934,
148,576,973,754,024,669,471,586,050,570,505,496,018,619,172,228,464,454,611,
840,971,633,073,392,192,424,077,604,334,656,312,487,124,441,368,248,624,535,
028,397,610,816,748,140,078,175,550,453,678,516,256,709,268,514,807,392,438,
685,380,868,949,720,140,007,452,160,374,747,814,217,349,575,687,885,563,108,
012,229,105,175,269,153,901,099,541,848,585,887,528,068,596,581,896,039,801,
981,700,419,709,512,886,113,942,169,069,414,734,390,267,909,078,292,602,337,
896,338,890,742,880,325,766,955,729,214,761,917,132,980,925,944,706,076,112,
564,642,308,134,148,103,687,268,529,359,430,819,537,264,272,611,045,371,470,
291,626,881,917,997,823,343,643,480,597,592,349,412,191,344,882,156,282,040,
811,669,979,149,642,579,646,544,180,580,854,253,117,975,561,887,904,840,777,
790,369,663,811,715,680,772,765,696,585,710,758,128,220,266,247,948,972,688,
177,352,232,882,427,327,172,884,786,942,248,821,463,704,388,116,992,229,656,
625,088,486,688,496,509,813,923,626,979,842,295,048,648,577,516,181,434,822,
618,759,755,629,669,595,464,061,536,404,056,893,428,193,468,980,415,963,505,
103,731,816,893,538,543,925,774,357,733,276,050,225,652,692,761,433,811,512,
351,430,881,842,595,648,732,266,059,924,393,083,909,668,212,047,434,153,676,
029,339,101,768,520,604,356,310,307,723,459,064,313,393,649,704,353,633,819,
969,558,591,114,000,336,410,731,956,039,961,465,343,313,141,376,810,321,643,
993,658,716,428,411,364,315,846,702,554,168,951,141,788,664,474,630,510,416,
610,185,211,653,412,739,921,333,189,308,317,177,431,188,479,222,832,104,145,
140,617,954,095,749,521,281,332,673,095,725,373,133,491,129,069,128,880,427,
757,208,076,370,608,751,823,947,924,475,267,539,758,276,150,317,189,959,100,
534,998,443,276,832,979,246,994,179,618,696,571,104,407,881,921,959,516,793,
216,452,153,396,031,209,324,541,948,128,075,219,924,878,951,314,575,185,366,
086,645,078,016,454,929,642,452,039,682,773,385,525,111,504,980,539,338,216,
923,487,958,629,377,975,969,387,713,041,625,593,454,326,904,710,333,762,936,
749,388,276,236,508,054,568,300,399,332,670,477,842,548,403,592,512,084,206,
209,024,162,900,650,920,650,802,094,186,215,023,874,888,093,407,716,734,938,
105,691,267,474,604,961,112,451,141,618,048,882,902,130,567,703,242,604,121,
297,671,720,240,326,742,455,524,510,570,989,421,979,573,145,330,774,869,337,
684,561,414,656,513,947,932,010,077,250,167,671,467,378,624,857,716,536,732,
977,601,936,572,666,195,985,429,931,058,656,133,939,012,335,204,089,340,564,
787,898,603,255,529,334,342,262,748,301,035,195,478,605,619,056,684,219,680,
575,438,319,984,728,956,317,607,301,149,187,835,800,480,912,077,449,339,354,
495,064,549,931,222,337,491,990,698,687,444,346,516,278,788,010,667,916,646,
823,518,485,980,294,433,276,589,550,392,792,612,406,952,175,244,926,646,625,
582,359,273,259,407,188,027,888,752,319,088,695,081,976,311,768,182,290,464,
442,086,084,154,655,918,551,656,458,644,126,669,164,580,961,616,142,240,455,
643,512,318,466,835,270,835,014,106,637,082,013,571,810,355,041,852,674,881,
766,879,430,298,261,217,226,357,262,595,162,174,702,969,599,353,308,592,175,
110,630,439,566,847,688,532,955,508,372,222,496,868,598,014,685,756,853,568,
750,000,048,752,495,608,017,372,615,532,314,680,356,702,131,266,741,358,341,
660,295,709,791,751,945,971,659,146,702,185,468,381,765,182,824,884,185,308,
131,838,092,654,748,633,851,791,706,472,196,962,601,525,721,271,432,638,098,
985,232,392,995,606,188,993,964,541,339,049,185,545,844,676,304,774,253,736,
475,748,416,253,668,986,817,511,160,795,660,917,128,446,303,340,358,580,771,
832,068,925,499,916,535,292,273,865,562,114,420,189,160,420,955,384,728,925,
721,259,254,679,770,323,659,448,104,389,822,262,141,260,655,649,157,869,452,
316,472,226,589,567,036,657,989,451,347,921,398,932,473,788,196,154,143,057,
221,373,502,840,570,240,730,379,341,170,008,171,013,459,937,176,540,107,733,
066,637,318,191,642,096,956,689,127,218,438,543,529,454,893,114,807,206,769,
859,235,294,894,474,664,973,181,222,823,345,021,507,346,993,712,050,756,771,
535,446,415,587,124,821,856,640,996,549,859,808,683,134,742,894,490,619,386,
259,275,711,591,739,896,962,106,048,397,108,172,502,448,851,009,801,392,107,
249,234,171,440,982,192,281,320,723,904,304,278,434,139,320,193,973,077,984,
664,306,065,697,373,819,939,872,016,980,010,552,003,163,253,953,387,946,454,
870,738,811,734,441,302,466,262,281,552,905,983,637,083,565,801,583,028,235,
727,667,472,610,725,777,281,734,970,019,903,623,632,684,543,557,020,869,610,
915,997,136,116,752,292,540,543,087,138,766,968,778,541,678,286,200,932,223,
903,779,782,052,543,401,903,776,754,384,992,687,035,522,310,494,021,256,675,
535,448,310,556,380,850,484,193,029,038,312,296,856,048,113,890,216,497,565,
355,483,577,769,277,470,399,872,147,981,600,484,909,973,604,207,133,612,499,
286,522,116,264,620,852,174,418,675,655,744,793,748,263,416,127,106,218,856,
591,072,807,286,230,784,728,838,076,080,706,925,028,121,970,209,409,614,613,
159,129,304,142,676,123,194,436,263,201,046,743,037,762,191,679,606,264,860,
816,788,645,826,557,537,803,916,092,563,707,373,725,102,695,077,200,643,263,
024,096,700,673,984,233,067,536,673,417,145,660,701,147,818,831,051,355,521,
207,147,945,033,740,233,215,967,833,802,000,301,406,701,245,577,412,796,621,
558,597,581,855,169,670,789,154,559,099,615,307,394,651,231,435,963,630,037,
435,896,243,560,757,621,915,501,222,465,707,404,695,746,729,942,552,113,444,
600,009,034,168,168,630,445,296,630,980,143,586,337,547,255,946,868,289,609,
617,818,691,882,619,334,085,120,327,153,414,741,244,458,403,030,753,762,259,
861,504,087,049,646,847,150,949,616,163,673,024,778,079,656,819,253,333,270,
825,940,540,172,676,054,275,793,918,620,319,919,630,352,057,776,298,142,666,
144,554,404,830,419,502,085,467,816,755,601,217,202,715,679,889,448,505,435,
703,667,023,527,523,318,571,923,109,527,751,698,947,107,747,284,824,306,495,
881,232,288,694,586,004,924,669,465,846,266,570,643,834,798,600,971,760,334,
815,007,390,452,060,768,284,767,647,286,149,058,823,804,225,756,149,494,345,
682,015,086,615,209,588,295,617,399,444,324,704,063,557,657,145,236,164,863,
310,266,846,506,269,516,965,896,935,925,311,284,851,816,230,814,562,371,593,
102,940,386,015,670,883,542,094,850,910,464,229,538,814,142,938,056,983,849,
673,866,087,015,690,034,983,937,089,059,686,514,625,647,310,150,372,909,759,
172,531,405,367,438,703,467,439,150,314,757,521,657,685,201,934,798,254,092,
945,284,962,310,406,686,796,098,548,019,615,683,375,629,505,563,318,212,615,
347,208,372,857,129,188,636,308,893,470,152,308,469,324,803,806,617,787,085,
158,262,241,952,278,250,781,671,594,549,058,155,344,524,833,724,523,067,595,
277,528,033,577,008,058,570,080,568,453,542,877,833,074,566,288,190,662,694,
298,723,190,158,823,975,668,336,774,485,884,551,825,010,452,003,621,103,495,
953,385,176,553,691,558,005,529,969,556,104,900,995,590,084,435,120,344,134,
022,244,228,207,919,826,791,918,752,066,709,631,445,722,225,874,414,722,199,
328,710,614,623,351,586,923,796,169,233,323,380,149,460,473,798,588,720,989,
725,211,642,831,762,702,752,335,647,008,362,960,974,817,624,258,849,134,711,
505,113,892,909,624,920,459,381,000,339,018,796,806,274,493,583,238,596,110,
743,871,044,959,741,216,989,354,147,411,518,482,484,653,085,111,256,223,901,
061,388,624,502,153,954,179,808,620,681,113,016,041,505,279,897,000,753,941,
354,191,723,624,895,589,517,371,315,022,785,954,961,892,315,714,591,477,504,
480,992,122,537,085,812,503,172,344,731,612,989,899,448,140,875,268,056,424,
874,121,917,014,603,564,219,035,996,559,967,363,247,170,940,245,897,402,884,
677,920,807,783,573,161,417,834,664,492,456,423,266,082,765,339,127,735,558,
880,474,541,362,169,919,987,989,481,783,566,565,601,933,312,019,909,135,455,
710,513,446,991,075,833,351,268,111,320,816,402,782,213,737,275,457,199,859,
038,495,819,028,842,036,085,656,076,722,924,990,319,677,011,904,465,900,230,
237,544,416,030,099,156,301,156,281,484,701,337,727,129,499,951,186,892,147,
153,238,065,314,081,638,920,709,002,788,018,668,937,223,370,310,400,477,397,
068,935,711,599,555,318,048,781,113,512,323,143,309,844,378,324,862,556,598,
903,183,277,948,847,327,038,729,197,998,445,847,143,276,935,953,418,591,090,
790,155,921,383,518,336,481,919,314,197,941,770,733,892,141,721,823,287,862,
851,940,566,973,738,507,377,395,517,643,179,312,147,088,244,753,966,177,709,
986,198,274,527,463,458,955,392,891,270,534,003,889,227,829,728,815,883,200,
116,162,174,813,551,002,971,405,224,642,363,930,717,733,819,352,744,630,591,
227,754,924,771,305,094,454,202,716,113,057,582,394,168,520,391,319,264,167,
720,665,732,042,657,218,765,393,232,032,245,391,981,531,111,287,725,302,679,
501,088,434,752,170,230,625,652,355,730,311,124,834,739,097,882,986,860,730,
802,045,594,367,305,291,569,177,954,248,004,486,354,952,503,041,860,074,890,
193,248,299,941,471,865,483,502,471,861,033,328,972,896,139,698,701,063,777,
522,507,701,531,344,875,074,523,192,140,627,198,207,244,412,272,537,591,158,
511,133,155,099,886,765,692,296,406,942,842,445,127,800,492,013,422,761,369,
845,681,582,462,810,329,301,383,375,199,514,853,423,987,210,231,396,015,916,
476,982,283,574,960,727,611,463,353,412,350,239,868,941,249,770,907,379,710,
780,833,295,409,569,359,859,240,235,549,842,828,754,951,446,893,345,299,229,
511,146,796,117,416,502,638,294,044,647,833,909,912,172,912,963,317,747,992,
012,538,380,804,045,148,232,767,628,106,288,575,964,466,702,263,681,799,556,
751,691,321,853,063,487,380,069,635,330,803,647,487,497,324,158,333,302,132,
085,406,903,415,553,066,842,969,822,508,623,611,789,529,617,178,314,534,975,
461,915,374,585,036,176,491,134,086,682,190,130,617,093,020,123,385,003,435,
562,789,647,037,365,718,243,217,769,656,800,239,010,096,339,743,311,748,519,
011,162,218,337,797,248,319,893,171,712,005,526,363,239,922,228,698,587,672,
470,953,262,043,887,538,789,882,904,528,984,388,080,184,540,240,173,058,806,
025,819,558,053,316,116,765,389,132,928,362,807,130,155,742,183,479,259,233,
613,092,667,785,298,175,033,850,041,513,399,292,029,443,398,741,266,060,307,
805,171,907,494,236,876,217,204,223,309,887,938,614,899,062,180,008,691,733,
809,583,290,061,002,942,187,775,636,638,137,525,789,852,603,969,664,332,416,
733,346,036,499,858,250,526,996,377,657,349,738,907,427,687,042,467,099,774,
842,288,964,980,884,266,374,261,220,355,402,692,249,799,931,664,001,009,250,
920,452,706,770,378,405,932,275,128,356,625,069,030,800,122,674,151,552,163,
448,022,109,238,002,315,369,713,937,024,376,531,157,900,283,560,105,097,695,
766,935,848,109,779,828,355,168,094,680,305,141,064,643,518,316,691,993,243,
501,805,196,443,092,790,418,677,153,302,386,561,643,753,921,212,478,024,627,
716,491,238,482,066,435,408,187,110,683,601,350,769,735,367,044,104,013,602,
276,445,481,498,080,643,656,006,998,903,341,713,902,217,968,483,941,668,295,
305,085,561,913,957,421,566,391,849,362,513,361,682,893,294,432,622,399,326,
496,645,545,918,108,184,699,567,484,380,657,540,362,897,561,618,354,211,571,
488,757,769,343,212,729,732,870,554,064,680,218,184,536,929,370,659,893,132,
006,728,188,901,329,583,949,733,085,854,189,293,877,757,461,884,385,072,040,
306,886,548,197,684,858,027,402,359,593,564,298,269,557,072,312,586,335,003,
287,313,008,731,512,144,176,146,705,380,019,491,326,933,328,467,855,312,108,
345,929,571,597,455,935,534,671,245,829,361,491,641,338,421,139,789,325,264,
298,227,252,968,818,437,986,995,682,722,501,033,899,115,447,734,848,540,525,
927,896,462,039,296,997,055,526,794,449,935,912,731,255,509,530,906,146,165,
352,077,975,309,076,847,487,980,748,638,458,417,449,565,429,915,847,408,466,
084,891,463,923,300,961,988,939,758,971,148,555,774,771,259,482,936,830,939,
329,641,892,547,769,615,663,135,819,850,252,293,133,725,855,347,690,157,227,
935,846,607,026,712,642,482,616,656,687,786,824,240,498,809,202,694,779,097,
205,311,245,606,743,851,863,384,655,085,886,260,274,669,300,776,512,008,248,
301,562,383,324,525,558,381,192,229,676,097,734,241,387,772,893,956,677,866,
974,398,643,486,646,827,605,662,412,638,698,328,551,765,300,492,593,025,597,
811,329,231,703,302,663,308,542,357,640,150,325,885,391,957,178,962,028,475,
318,875,129,649,936,211,473,950,187,464,739,122,130,488,264,638,104,679,525,
667,201,631,824,104,938,833,098,902,367,556,989,879,973,779,671,457,513,601,
247,050,411,895,799,484,686,732,918,729,677,031,717,018,793,924,388,632,110,
937,511,453,848,960,200,168,607,808,938,585,153,669,908,963,227,451,687,078,
152,741,661,595,429,767,183,492,947,344,260,041,762,843,449,202,437,743,767,
233,952,121,743,473,109,471,727,301,667,432,420,255,848,092,640,165,890,210,
375,915,145,044,710,630,516,040,164,412,074,781,526,433,826,044,515,840,821,
084,710,088,822,047,757,843,855,732,548,756,918,622,065,479,389,490,088,010,
365,302,036,366,281,738,701,823,343,577,492,475,810,181,946,629,711,155,011,
579,774,207,608,782,248,892,551,894,429,229,150,255,144,576,892,008,504,522,
651,086,201,880,900,287,783,923,925,854,539,602,670,868,489,693,742,742,823,
577,984,065,192,630,847,630,953,227,912,405,859,861,069,997,912,660,149,845,
171,165,883,748,072,352,649,668,197,324,055,352,578,092,164,554,224,128,812,
155,587,910,879,014,610,312,057,886,490,421,879,783,313,568,867,851,372,054,
797,156,282,475,395,481,281,387,693,163,654,341,857,520,351,861,198,903,907,
843,217,727,289,448,844,843,829,240,998,039,584,304,238,582,002,559,294,649,
518,759,443,789,374,816,412,714,617,276,973,427,109,326,755,042,020,796,902,
643,530,330,812,512,886,212,072,948,042,201,723,567,087,152,578,390,303,467,
928,010,640,580,678,024,141,571,315,302,814,041,964,111,521,374,556,757,203,
207,195,332,195,610,025,312,496,813,696,227,419,170,601,358,399,185,467,121,
968,069,014,228,064,202,171,558,136,555,330,180,534,574,848,312,302,168,296,
901,213,133,625,259,895,038,153,515,318,682,912,703,659,933,714,785,199,600,
048,428,010,194,236,500,095,034,841,690,626,939,507,307,452,859,549,059,000,
634,108,224,135,155,876,706,143,787,418,044,313,872,683,409,826,214,187,880,
915,174,789,576,056,832,430,408,431,191,671,353,751,043,413,622,961,222,564,
676,362,120,865,070,443,579,297,899,567,873,930,972,027,149,669,019,990,569,
867,609,535,955,936,988,127,735,280,137,388,968,064,836,384,252,920,702,179,
053,450,529,614,349,858,747,794,784,574,493,685,412,420,898,212,771,073,641,
975,335,700,014,825,875,959,610,639,436,588,711,252,936,363,423,832,388,188,
495,319,899,320,042,929,716,633,513,302,696,818,074,223,218,128,423,790,634,
697,747,568,276,833,949,317,932,081,797,287,084,450,443,711,322,565,127,141,
543,447,717,356,520,111,807,533,859,592,558,005,991,125,230,952,328,298,663,
593,745,034,701,160,100,690,141,017,076,277,308,994,652,809,226,624,149,814,
492,429,728,933,965,210,612,736,226,683,994,408,753,002,629,331,018,890,089,
737,952,164,013,331,642,567,624,500,624,614,801,385,516,742,009,479,841,572,
375,899,422,869,036,777,005,488,412,381,543,458,521,143,177,836,938,211,881,
640,228,613,195,722,255,719,953,114,252,934,753,675,650,835,581,060,804,649,
979,281,652,714,463,664,821,962,566,478,372,474,305,034,913,633,868,734,476,
116,586,813,926,442,220,552,041,183,737,325,915,196,267,022,863,143,768,414,
257,366,033,618,331,705,962,970,174,664,505,346,637,561,025,057,485,858,277,
315,430,653,908,092,175,397,242,644,209,173,975,198,888,326,001,500,147,841,
080,876,420,165,144,183,251,866,480,046,223,975,410,781,192,465,668,656,610,
666,678,169,029,873,373,491,981,841,150,990,744,025,829,547,045,498,506,654,
249,920,687,775,771,881,069,705,139,294,308,332,580,656,959,146,345,084,943,
192,206,785,705,395,060,880,832,210,035,235,801,822,861,289,083,257,193,451,
362,994,262,109,645,302,532,818,620,676,258,940,255,829,093,727,479,298,149,
015,692,978,634,549,914,257,765,864,358,628,926,335,151,780,621,877,825,293,
190,042,794,839,234,833,042,163,159,290,963,559,537,942,730,728,787,856,705,
008,172,467,597,858,051,544,647,883,229,528,165,152,966,212,549,675,136,431,
428,090,389,824,257,821,581,676,513,690,833,421,112,363,239,040,361,815,687,
294,218,115,156,783,847,643,398,091,691,275,963,311,935,028,119,974,040,497,
394,936,892,052,259,733,053,701,397,911,976,814,539,334,221,367,769,885,385,
154,519,291,425,452,369,637,457,397,961,024,210,872,474,158,206,524,193,580,
202,303,500,938,844,124,791,738,938,165,198,748,550,929,087,191,634,368,595,
292,085,787,856,856,229,079,394,718,694,473,392,974,158,771,726,605,471,466,
468,647,921,222,685,141,295,203,564,598,605,952,033,745,178,437,708,007,048,
357,581,885,180,211,693,412,235,914,879,246,350,135,876,827,866,447,092,169,
778,670,299,191,361,200,205,936,870,022,582,325,225,603,736,093,216,806,644,
926,692,739,566,102,473,694,117,899,144,031,424,116,964,167,325,609,694,296,
616,086,879,095,853,299,821,138,146,677,891,544,789,436,079,784,274,957,806,
171,908,862,514,498,861,922,301,018,330,850,639,516,684,864,044,099,586,151,
461,396,767,107,641,346,528,689,884,229,677,256,317,734,218,659,024,016,067,
147,039,753,333,554,165,683,743,559,907,319,589,614,851,259,679,650,553,257,
081,088,390,883,163,717,318,764,430,888,271,863,967,031,097,009,031,265,479,
232,487,964,346,295,804,234,871,218,507,042,768,690,379,364,705,368,196,528,
248,364,095,217,954,623,405,646,661,321,076,553,752,822,652,019,322,980,617,
800,571,953,878,726,215,391,257,625,279,912,580,396,367,085,919,819,598,283,
638,808,875,120,742,829,511,238,496,462,572,884,757,817,853,365,014,818,837,
003,895,980,385,742,050,538,619,300,877,316,166,923,489,318,087,729,691,311,
998,165,748,833,035,007,511,772,718,104,932,739,147,506,928,673,765,098,512,
904,856,190,219,532,896,246,120,124,135,516,171,673,694,823,046,036,115,769,
503,889,133,386,473,502,706,129,720,802,816,421,364,603,689,288,347,375,577,
346,271,995,426,365,102,871,801,761,896,959,533,564,332,266,307,812,967,317,
692,634,291,474,064,561,803,474,649,779,481,963,812,075,485,000,527,112,941,
219,797,190,374,235,314,633,066,280,359,910,555,885,784,775,307,484,000,883,
616,575,115,173,605,973,713,550,194,481,830,267,550,684,968,040,445,707,256,
573,478,126,176,543,436,051,257,873,657,868,378,688,009,050,011,935,918,572,
530,065,894,665,072,912,340,854,690,883,799,697,300,288,758,746,043,131,328,
149,390,494,092,266,057,806,225,943,846,213,114,466,783,292,485,038,310,715,
095,990,255,735,280,506,490,513,946,069,003,050,292,249,754,988,406,154,993,
936,209,241,744,604,081,601,174,816,918,950,761,046,830,217,949,374,009,696,
871,063,456,423,618,378,416,504,792,568,997,250,441,363,267,425,955,707,938,
007,056,031,261,928,682,179,445,707,962,887,551,425,767,707,047,790,282,595,
783,373,598,342,602,702,801,268,839,313,615,372,446,149,407,698,992,696,895,
867,653,562,651,421,772,909,294,924,737,569,455,057,313,728,651,743,955,355,
162,975,108,815,901,203,469,938,935,056,585,848,291,423,683,124,644,864,040,
272,840,610,292,805,425,164,707,477,938,003,446,125,452,779,032,952,413,808,
022,147,152,146,963,623,630,666,811,335,813,622,088,714,996,823,631,247,421,
753,953,723,753,713,788,679,738,204,352,167,185,706,614,019,605,636,855,403,
217,166,710,378,678,130,320,449,240,449,160,883,751,973,844,277,679,356,381,
770,496,816,496,874,415,432,393,329,741,611,874,889,799,978,388,124,586,601,
854,243,294,299,694,903,885,711,573,476,408,055,010,210,751,659,900,142,950,
179,961,101,879,402,501,247,438,243,246,894,609,166,368,389,717,332,883,234,
823,112,832,020,732,384,037,944,806,168,502,960,819,716,548,623,891,514,012,
402,552,343,936,233,936,963,360,188,144,284,005,109,666,127,010,530,226,067,
430,127,947,385,650,020,136,856,289,903,104,232,708,497,434,118,164,258,912,
411,871,168,126,303,653,277,015,855,815,550,576,203,919,730,935,625,253,745,
819,069,445,962,208,752,782,955,430,664,523,839,303,831,614,303,604,249,723,
651,274,934,976,489,602,503,907,099,778,043,143,167,204,638,256,138,965,493,
950,289,227,441,192,714,582,941,149,384,009,085,396,771,997,387,347,529,081,
187,068,452,757,307,443,659,061,141,207,307,840,905,089,326,243,545,441,791,
737,466,338,164,806,142,838,832,905,846,264,598,472,699,448,427,879,519,661,
191,357,859,548,325,860,100,676,730,776,903,099,447,154,981,666,087,519,207,
841,081,513,578,824,717,691,678,513,896,399,532,268,989,074,390,790,969,462,
713,044,697,896,139,956,003,691,750,920,097,731,252,285,987,575,806,438,583,
490,355,737,907,316,768,667,450,828,230,658,254,620,923,570,254,899,483,871,
262,131,595,506,503,712,448,452,438,853,476,536,232,836,686,958,568,232,816,
114,008,398,765,231,678,996,794,187,047,206,987,995,710,963,937,602,637,625,
577,236,707,900,123,771,687,979,979,785,512,460,029,863,884,099,080,193,527,
808,204,297,790,628,708,372,081,111,096,881,231,000,325,902,811,034,944,246,
161,593,153,042,757,680,323,552,216,149,657,463,064,469,827,333,059,130,486,
526,436,095,213,974,525,291,894,634,984,089,388,980,579,294,433,447,127,148,
825,412,615,380,323,753,515,052,818,656,789,418,477,948,186,558,905,796,017,
166,280,440,841,855,293,630,997,330,983,932,592,338,037,598,253,312,872,137,
204,405,109,172,569,570,767,940,396,970,207,795,365,428,627,667,506,141,740,
534,508,143,622,792,201,636,810,281,514,476,252,806,590,265,569,451,042,470,
601,429,341,518,774,899,407,139,918,135,417,084,992,882,706,599,578,090,943,
790,258,040,217,772,994,927,283,499,499,213,692,514,438,864,496,628,627,225,
721,418,477,719,018,263,291,781,163,251,501,856,586,079,019,691,532,667,723,
776,762,434,109,160,081,715,952,357,988,220,746,246,238,665,054,891,165,836,
086,517,356,066,925,598,220,782,168,920,894,310,533,640,440,413,844,758,781,
458,222,395,977,749,449,073,685,478,392,744,607,811,310,217,504,526,627,862,
558,259,280,511,150,718,745,905,191,737,017,469,588,157,199,767,892,419,956,
267,667,438,616,194,247,888,679,724,068,279,313,933,250,881,047,976,244,037,
301,780,536,675,042,168,317,771,716,032,681,144,089,970,619,039,148,333,014,
349,507,949,897,179,134,881,076,587,363,088,909,945,512,421,408,355,140,246,
576,954,230,307,691,722,756,277,469,846,562,479,608,010,523,806,175,900,985,
043,318,205,540,579,349,848,853,957,626,576,103,093,288,978,666,347,715,841,
725,360,582,245,888,301,452,612,821,049,916,110,588,575,878,558,287,876,887,
777,624,427,476,640,732,652,862,602,093,666,430,190,786,440,450,463,555,029,
433,321,508,186,376,098,223,547,594,574,374,721,984,308,692,370,527,480,331,
605,928,067,049,367,078,246,143,408,063,043,915,241,520,813,076,964,524,116,
423,019,917,453,376,191,652,632,454,115,764,392,442,244,200,627,418,949,884,
703,735,713,307,903,971,231,983,967,004,716,230,833,952,361,400,984,924,594,
304,384,950,920,754,499,871,379,434,111,049,136,248,904,302,166,593,480,789,
223,738,641,369,864,018,550,530,436,813,302,966,217,398,002,329,531,408,209,
982,244,330,660,192,716,026,539,663,761,221,251,253,648,501,868,252,170,377,
145,310,003,570,733,207,236,413,218,541,728,093,564,466,229,557,429,077,348,
241,118,752,310,877,108,879,247,712,807,496,323,350,667,357,251,834,472,151,
984,309,976,501,138,072,279,674,964,179,931,701,486,302,287,460,753,421,619,
987,006,895,736,393,806,600,602,462,370,651,304,068,254,365,960,945,420,211,
548,482,089,105,113,166,863,456,990,948,713,089,927,876,424,869,280,042,295,
184,823,507,232,856,796,156,526,164,123,012,468,283,825,903,036,500,620,836,
806,028,114,393,402,113,139,678,163,686,338,574,450,874,891,561,088,313,438,
563,914,581,234,659,890,064,519,941,251,719,657,766,371,890,148,582,754,069,
933,444,272,951,536,637,415,224,300,251,318,309,103,336,609,505,750,672,337,
609,246,990,131,222,792,620,027,896,567,394,451,189,517,493,540,905,703,564,
928,735,035,909,810,821,905,432,905,690,059,603,859,568,744,690,843,836,031,
631,877,751,869,090,022,652,161,155,400,241,068,209,272,636,867,377,257,320,
636,122,376,787,638,633,403,289,306,514,556,687,530,354,310,673,917,281,530,
691,679,112,498,149,118,427,713,488,522,673,850,783,447,794,892,857,221,262,
847,032,543,720,598,568,337,692,169,524,371,194,292,583,613,702,520,529,477,
414,087,245,567,433,651,454,662,909,989,476,965,948,215,162,520,275,032,747,
812,837,073,887,611,630,189,824,960,851,207,225,972,545,962,257,242,463,570,
396,189,560,972,618,745,895,275,768,029,705,432,202,301,133,477,316,977,391,
900,592,731,478,795,816,835,115,807,019,973,877,037,174,453,909,898,444,083,
643,613,804,158,311,447,398,081,751,569,540,763,670,883,897,581,922,619,117,
641,209,022,468,926,745,055,652,013,598,097,028,480,078,463,361,114,412,309,
285,392,703,539,070,552,377,199,606,628,584,511,610,345,541,072,322,398,434,
654,174,909,074,346,977,046,938,039,930,492,067,887,488,435,138,161,842,834,
454,792,041,737,113,212,407,053,572,647,490,617,285,676,160,730,470,331,069,
946,616,565,807,705,927,243,472,226,435,593,385,234,618,010,309,093,964,247,
755,097,697,666,874,722,411,971,237,477,068,838,132,148,055,987,667,491,555,
536,199,181,772,450,899,142,971,233,284,608,838,969,401,320,637,516,035,312,
945,078,120,914,088,382,165,551,462,002,637,911,818,012,284,426,846,140,933,
823,035,035,352,384,157,120,344,614,031,104,918,104,958,605,863,111,489,609,
027,056,023,623,178,688,551,225,752,141,673,990,368,575,104,724,846,725,003,
129,711,153,811,045,150,691,713,237,759,455,898,499,729,262,656,833,717,990,
619,169,134,287,690,096,656,613,720,569,858,473,238,558,790,330,557,634,316,
803,258,108,060,256,161,547,595,324,039,312,752,569,245,803,438,761,087,274,
582,967,011,760,114,219,704,354,947,914,904,810,863,080,374,518,582,408,337,
756,625,375,194,330,058,636,184,440,831,267,381,725,991,201,254,250,519,442,
855,832,657,600,243,448,599,037,637,759,073,732,204,967,568,645,423,275,044,
973,845,509,580,325,273,162,842,846,551,535,738,180,377,447,376,704,364,493,
473,497,108,258,856,482,630,965,891,342,131,349,090,344,736,020,826,652,250,
437,821,715,297,057,531,841,964,767,473,274,486,304,789,688,849,814,125,970,
275,014,764,165,506,012,740,312,513,015,311,407,831,270,148,000,612,844,089,
344,053,911,356,800,261,213,733,883,519,075,512,719,634,767,785,469,657,954,
089,539,938,961,408,753,148,265,718,313,615,721,860,538,928,212,185,285,593,
255,998,375,924,981,474,307,960,881,991,207,203,628,688,852,922,933,586,101,
486,356,697,155,304,040,540,300,843,604,457,612,355,124,582,730,233,774,312,
567,863,003,453,779,152,975,092,839,356,736,141,998,023,947,930,017,154,207,
958,764,478,108,829,914,377,518,431,842,889,656,960,644,374,073,352,593,537,
409,334,894,745,958,319,828,275,557,886,251,517,599,174,598,164,050,940,463,
043,181,481,263,480,845,117,851,129,943,590,874,170,684,817,013,106,111,188,
225,815,870,050,265,416,185,857,243,048,527,336,143,632,657,946,403,812,919,
393,333,804,285,022,621,904,439,389,852,958,097,892,590,518,809,576,202,050,
768,136,934,146,138,609,585,299,441,084,766,504,604,332,073,057,234,620,595,
989,812,215,154,065,572,113,763,379,367,390,105,679,944,489,306,955,686,750,
011,483,765,998,426,230,017,456,388,883,553,722,910,610,537,926,080,227,055,
625,911,465,389,103,633,532,393,591,812,167,612,423,861,899,139,935,634,419,
057,736,660,753,326,867,816,192,008,492,995,977,071,627,818,705,241,978,789,
829,016,691,319,154,065,950,846,170,701,741,791,331,008,247,092,123,766,996,
419,156,657,375,206,708,474,405,519,791,661,728,957,512,867,074,959,162,445,
949,950,306,882,951,680,505,212,150,079,897,351,427,937,094,206,713,340,631,
139,234,313,357,664,952,953,828,510,771,593,936,983,452,903,950,080,151,719,
414,399,280,507,538,659,703,477,767,718,642,526,913,361,170,871,261,848,884,
345,768,541,908,991,599,705,660,474,426,445,292,437,876,212,904,395,770,225,
982,788,851,627,950,736,999,837,271,889,335,194,460,491,346,358,941,433,067,
168,397,183,994,426,818,353,241,617,408,051,419,943,400,109,150,342,651,976,
074,604,483,325,580,298,719,001,073,872,231,315,110,515,592,857,101,619,940,
798,122,957,454,336,683,107,441,252,433,329,020,419,440,488,663,014,715,742,
838,778,363,054,324,967,736,760,595,862,097,852,490,914,219,322,503,170,559,
598,824,405,395,798,202,874,389,429,231,672,580,788,216,218,152,830,467,733,
363,575,881,364,328,356,932,483,989,265,957,195,730,367,289,428,989,891,001,
617,839,542,332,723,006,426,146,645,505,852,394,163,435,857,724,460,701,035,
753,916,220,369,683,452,525,414,845,314,239,909,174,213,905,357,679,763,226,
739,862,130,369,508,832,344,817,095,674,018,088,674,327,284,244,744,521,259,
498,474,703,884,630,571,660,897,473,824,497,861,555,120,820,631,482,225,829,
761,657,762,724,942,730,277,161,512,571,461,898,195,750,532,518,654,958,297,
653,335,959,355,558,409,676,828,677,316,263,741,523,681,415,434,153,588,328,
058,398,633,565,031,791,089,065,330,130,864,572,143,253,574,931,392,815,525,
596,067,588,896,722,161,219,604,446,935,526,377,425,207,703,187,319,860,884,
138,777,708,724,121,581,663,237,704,483,004,898,621,584,370,168,560,857,047,
875,390,197,825,385,492,312,625,074,243,408,410,530,082,267,803,750,894,402,
001,465,072,107,688,122,513,320,673,461,896,563,817,314,975,723,210,666,814,
539,863,124,341,599,144,818,015,592,191,123,478,363,786,967,844,814,351,485,
202,420,802,016,746,792,721,127,238,343,034,582,942,369,419,395,797,949,789,
641,385,019,885,038,737,470,152,973,426,455,081,533,464,503,298,700,655,219,
641,852,086,830,440,419,479,586,767,915,184,493,444,957,278,533,792,207,352,
765,262,348,039,570,474,270,630,532,925,818,972,441,755,153,240,769,526,645,
819,204,464,972,521,589,514,115,281,815,359,913,534,608,209,066,646,190,062,
884,839,084,447,548,499,110,185,703,516,936,699,962,195,208,829,508,357,723,
863,855,162,865,383,882,665,848,840,614,078,518,741,619,019,952,420,397,538,
503,832,542,580,863,864,652,796,138,151,344,598,441,574,690,565,734,811,642,
580,366,507,082,430,374,591,988,059,154,434,603,306,628,938,777,968,163,042,
323,591,160,189,382,906,146,719,898,027,953,493,692,929,733,532,953,960,872,
206,181,772,051,761,833,428,481,074,122,863,277,447,172,548,924,938,985,663,
722,391,275,641,248,001,764,491,983,146,072,130,776,468,727,769,493,285,719,
354,578,139,864,082,990,491,168,140,536,917,208,423,904,685,660,940,428,310,
021,203,937,546,572,028,636,559,851,269,367,427,085,940,323,009,709,978,929,
434,792,575,393,986,088,198,315,290,607,176,864,155,846,617,232,195,536,734,
013,332,108,640,765,742,141,864,868,686,896,966,255,149,164,089,320,774,914,
962,028,435,075,503,531,281,464,976,572,946,572,774,550,710,441,067,328,500,
311,179,713,506,770,369,827,042,434,013,633,595,211,162,897,152,771,742,762,
831,203,115,584,116,374,723,767,008,845,043,097,409,960,592,467,115,091,905,
351,535,963,966,435,998,318,157,591,021,606,349,998,644,485,974,250,601,833,
380,525,958,471,380,550,480,208,421,060,739,722,467,899,650,644,985,657,334,
830,385,119,298,997,927,682,317,696,443,449,828,937,824,560,332,130,449,999,
445,723,597,674,813,610,952,115,715,038,109,658,256,548,264,493,492,017,773,
652,694,527,379,969,637,562,395,534,746,390,042,380,003,467,952,935,578,428,
363,173,105,845,625,204,824,560,828,071,674,102,246,271,526,581,190,574,123,
698,128,411,491,561,612,418,833,166,503,444,007,675,770,665,749,956,691,949,
491,379,899,380,479,234,440,527,040,986,037,557,863,487,711,575,855,885,428,
763,847,930,459,526,981,018,259,279,273,735,769,486,855,138,478,975,534,800,
099,563,581,476,275,511,114,210,002,959,583,408,482,644,010,093,397,128,983,
965,819,459,479,000,051,445,503,987,079,955,207,196,111,271,951,617,040,815,
873,119,926,882,301,910,340,065,398,938,611,610,543,696,525,988,385,590,001,
719,346,151,841,708,121,563,302,270,344,065,188,765,326,568,784,083,134,580,
045,086,126,046,045,889,781,156,138,254,523,211,530,974,085,787,977,650,566,
436,179,743,383,110,494,882,325,170,257,195,645,831,007,250,665,467,534,479,
886,608,599,873,814,773,604,412,084,162,429,998,213,702,404,670,742,189,378,
029,070,989,792,882,251,881,522,705,205,462,764,105,456,278,088,077,806,066,
522,738,482,974,882,820,465,086,750,208,124,149,534,268,439,922,480,616,151,
289,959,814,072,237,304,212,515,645,710,096,447,748,805,163,583,292,936,886,
113,600,627,765,267,617,442,719,471,917,899,272,145,932,194,887,120,538,462,
992,571,294,488,551,940,833,228,139,325,589,375,377,982,020,429,607,531,096,
802,582,898,773,132,134,444,608,947,753,871,537,671,933,206,322,419,575,049,
319,351,689,976,382,884,488,681,175,849,671,179,306,564,729,350,828,392,341,
816,359,109,488,914,957,421,165,345,507,290,841,427,156,404,449,139,969,147,
728,767,665,915,451,333,319,461,163,349,308,898,301,372,641,103,158,274,142,
454,844,813,305,822,266,145,923,437,966,530,645,280,610,409,876,869,608,901,
338,116,075,190,587,045,710,598,004,825,063,384,954,201,205,518,118,730,594,
641,767,772,853,950,679,007,838,693,373,759,796,021,479,898,450,160,465,587,
843,467,478,089,800,244,469,797,904,758,064,414,971,556,323,128,991,260,906,
155,174,166,187,936,666,606,539,945,805,856,622,542,440,581,364,819,158,080,
667,140,486,465,036,852,037,378,209,120,357,956,757,844,202,222,381,278,536,
184,977,255,591,409,462,964,428,913,513,136,173,918,969,734,405,969,425,486,
048,074,397,712,293,089,923,398,603,445,352,743,177,800,590,265,237,345,109,
789,901,910,304,670,725,995,692,194,830,397,211,835,553,347,142,324,159,713,
406,686,437,446,084,636,908,156,972,196,084,773,565,732,806,314,328,286,328,
865,675,722,871,862,701,780,900,876,432,042,431,842,282,381,639,406,414,846,
090,779,299,938,040,149,240,270,280,746,683,681,786,531,084,332,808,939,426,
173,636,664,876,336,290,979,841,947,939,515,100,141,439,965,327,935,421,479,
378,816,179,986,054,156,469,847,432,575,789,632,226,054,182,931,516,696,856,
326,715,779,783,769,776,755,581,847,175,421,682,793,667,439,980,424,391,450,
857,495,939,890,028,996,653,621,699,162,845,083,177,595,610,892,121,615,987,
169,319,135,547,093,881,424,293,472,557,411,476,670,111,961,844,814,567,560,
927,147,472,772,734,800,389,169,014,613,365,478,985,360,622,523,755,629,893,
325,435,518,821,193,008,365,911,249,516,791,924,343,074,347,664,728,450,210,
486,584,399,454,057,564,550,520,972,213,190,246,940,688,343,975,617,088,141,
976,406,102,669,974,557,112,194,656,616,571,148,743,430,783,056,902,897,068,
599,506,735,516,223,443,905,175,137,081,012,272,184,365,097,085,982,839,077,
677,672,244,153,513,322,646,389,650,721,037,234,346,513,808,221,563,019,734,
989,575,152,101,047,797,011,626,276,218,153,024,330,157,978,685,869,143,659,
924,387,077,311,794,647,917,546,549,513,383,563,404,994,993,426,848,533,387,
465,466,840,642,534,961,862,008,648,702,770,219,365,259,762,926,368,892,522,
383,634,475,820,534,902,327,868,453,772,298,534,900,485,236,422,125,131,486,
645,247,993,093,424,490,994,548,874,409,018,956,749,164,643,378,165,741,026,
866,850,480,797,712,844,054,112,302,106,992,881,433,703,075,153,698,434,464,
955,855,715,257,471,581,504,254,496,882,391,706,279,442,338,424,226,856,775,
156,703,320,581,188,834,771,729,635,100,741,359,065,643,571,478,766,872,760,
336,364,679,843,415,772,369,183,035,569,143,345,207,250,626,183,726,605,077,
397,382,315,452,878,935,440,774,924,417,832,451,468,552,808,642,776,729,351,
393,380,616,810,403,890,874,439,375,072,138,790,014,330,727,489,397,253,160,
466,807,120,970,335,477,595,231,822,327,164,283,244,221,405,124,675,827,065,
351,986,767,289,924,095,515,978,855,512,490,482,606,484,434,492,000,614,805,
905,758,751,948,149,675,032,176,619,123,308,633,236,219,062,303,453,995,868,
793,431,312,988,107,277,833,731,080,376,142,407,349,236,754,520,243,398,654,
140,020,483,105,983,971,442,591,660,281,650,999,574,752,867,194,033,763,876,
861,200,872,976,594,107,264,557,102,937,409,058,048,684,215,332,404,453,864,
501,974,349,761,855,668,610,014,414,749,218,600,383,162,048,098,426,872,368,
989,328,869,024,571,600,304,983,599,187,501,516,331,398,569,411,765,278,542,
017,906,944,342,548,518,494,013,455,053,751,731,269,552,435,972,947,854,011,
588,209,848,753,792,689,015,572,888,872,053,862,637,152,488,263,037,513,258,
235,768,151,862,385,861,480,804,708,220,855,687,098,256,944,603,499,302,893,
175,550,830,314,540,030,287,739,142,513,014,298,263,376,139,358,247,071,997,
301,961,705,671,695,220,476,830,698,099,230,748,516,775,076,701,469,922,146,
427,237,651,847,161,908,761,381,541,078,102,206,953,963,628,630,816,536,665,
000,718,084,446,500,766,969,736,698,027,528,585,185,392,113,195,881,630,903,
048,423,642,119,809,761,163,550,290,671,727,989,892,008,554,772,853,940,526,
705,976,907,432,553,721,763,504,540,586,220,618,409,964,125,473,796,021,163,
945,818,039,524,428,460,643,943,006,590,722,444,975,382,182,014,521,284,906,
749,944,046,776,932,971,712,649,962,272,987,744,448,276,984,121,357,696,819,
591,969,624,938,987,449,540,991,941,127,254,560,604,101,231,042,342,878,474,
726,353,045,122,506,632,144,452,987,851,938,525,125,229,365,008,599,362,420,
439,081,629,437,860,733,376,970,823,360,551,217,940,079,295,546,949,639,291,
099,021,164,660,097,910,487,236,166,656,958,326,094,598,824,466,900,806,546,
569,421,891,978,665,666,053,059,104,817,224,413,847,188,742,137,242,136,545,
388,746,657,545,137,636,537,549,733,220,372,921,690,068,214,364,467,014,721,
730,552,302,659,472,677,422,788,641,931,375,260,582,435,942,628,202,631,123,
408,242,178,672,253,385,416,934,358,013,516,742,585,435,411,125,608,633,945,
318,218,316,122,813,048,468,900,677,003,435,775,989,509,988,662,171,906,620,
960,905,067,686,532,143,349,383,443,516,891,446,965,528,513,970,759,464,241,
643,224,112,726,934,263,678,189,113,317,398,767,931,274,766,701,634,297,402,
790,837,117,504,790,273,405,084,829,499,872,365,832,993,926,291,923,951,464,
190,888,272,177,836,085,144,537,117,910,732,256,113,694,441,665,307,282,886,
231,260,269,121,437,702,492,216,449,625,662,530,330,804,617,167,402,518,915,
621,541,220,889,601,341,075,184,649,380,292,743,093,342,583,848,362,031,239,
154,109,933,139,948,306,149,347,854,504,129,126,017,847,749,118,788,455,099,
599,294,361,845,964,352,809,013,957,777,220,148,848,045,960,937,814,401,380,
442,304,335,197,957,395,007,203,161,096,424,995,118,902,944,127,147,153,645,
014,675,642,031,810,481,944,149,955,056,475,788,570,773,602,755,279,764,767,
524,324,452,125,010,056,057,304,692,477,874,463,511,312,778,613,813,163,015,
424,274,158,041,427,165,049,905,727,678,747,281,846,292,237,138,165,751,762,
117,683,653,253,100,123,562,942,037,179,273,992,481,640,669,296,065,812,893,
684,064,667,494,351,265,042,432,609,038,692,326,712,803,163,899,415,369,451,
368,643,709,919,815,162,932,444,459,502,274,297,559,881,227,402,967,247,359,
245,566,887,085,905,810,721,475,584,064,423,031,477,217,216,239,901,729,758,
338,410,635,885,314,568,539,671,702,946,543,485,362,110,985,588,297,807,932,
881,806,644,141,796,245,034,689,859,923,119,856,014,472,355,448,779,194,989,
032,432,553,238,911,527,669,503,636,484,976,676,982,035,089,384,312,092,032,
141,848,009,769,019,328,335,605,108,959,782,983,151,050,478,470,736,516,556,
884,896,115,143,728,929,949,068,441,458,625,728,323,024,454,070,498,376,473,
884,936,027,506,238,684,356,271,480,772,629,364,389,849,054,268,140,031,111,
424,605,836,631,068,850,036,166,873,004,429,387,991,027,659,529,995,050,347,
564,438,972,321,198,299,459,855,859,988,394,527,668,099,561,503,284,108,109,
626,624,328,607,183,007,359,245,246,307,342,044,067,044,912,573,014,514,974,
215,828,117,769,922,176,652,380,462,892,003,681,562,710,461,104,485,941,349,
323,131,943,603,687,101,051,908,369,183,864,813,111,575,740,414,868,047,312,
046,205,361,350,082,240,990,861,482,030,411,138,230,808,028,976,051,955,267,
661,566,837,448,384,759,526,880,858,985,745,167,152,754,948,355,900,095,861,
406,297,568,636,846,607,252,050,830,499,919,313,745,125,605,791,347,063,196,
507,486,484,669,383,484,966,247,423,908,563,742,292,099,299,282,905,377,386,
376,164,963,425,339,296,494,242,576,408,655,527,538,219,385,776,369,726,555,
448,554,663,392,344,198,078,241,194,285,597,601,897,735,060,926,200,879,812,
878,668,852,370,805,633,441,161,487,988,271,178,182,551,489,078,744,660,063,
942,965,035,274,819,302,758,828,635,101,638,648,724,206,923,642,520,756,523,
703,322,375,307,917,833,695,866,614,659,186,989,749,232,638,717,015,309,060,
379,539,976,460,208,251,112,517,101,717,520,745,984,401,132,256,245,856,283,
776,568,343,434,402,438,151,423,264,571,464,092,967,770,653,496,788,295,992,
827,049,733,028,175,999,617,027,671,621,209,586,235,964,219,647,059,819,067,
406,454,051,542,077,616,017,134,695,313,628,777,930,323,107,692,659,866,645,
588,211,862,458,334,900,989,420,202,704,132,334,333,719,594,032,765,217,656,
080,984,391,888,715,224,323,678,734,963,017,640,703,865,547,788,982,024,680,
600,693,127,089,449,001,181,667,703,827,514,527,065,953,734,648,213,445,943,
981,544,752,573,574,880,900,892,722,762,287,925,226,672,083,320,072,941,656,
891,130,298,937,761,191,799,690,688,511,092,532,779,981,518,831,360,203,177,
741,341,009,061,246,639,713,578,357,323,453,467,308,825,373,403,165,818,278,
946,742,004,910,214,015,373,834,432,057,020,334,226,376,854,292,572,309,085,
299,608,827,409,322,232,594,695,384,304,295,209,362,974,880,564,472,130,820,
623,983,868,509,672,528,274,109,272,930,234,448,208,375,721,684,287,765,549,
390,297,899,682,463,741,837,518,832,849,155,010,709,734,745,910,073,180,750,
333,311,520,779,290,153,500,953,098,745,671,745,195,369,836,930,485,816,440,
128,980,507,069,115,153,905,805,724,617,822,548,210,122,023,627,631,418,169,
539,255,109,400,077,586,665,653,252,202,538,007,687,992,785,281,209,290,410,
887,353,445,088,305,869,910,125,491,325,512,274,574,171,323,037,153,511,509,
830,646,009,224,291,655,824,183,711,496,380,037,329,182,924,489,045,595,389,
821,311,247,575,726,872,461,876,324,651,750,200,831,965,891,871,018,209,771,
576,264,326,288,774,561,430,254,249,803,138,261,417,278,352,523,799,986,787,
478,283,410,810,996,246,147,988,660,186,265,252,470,963,697,159,403,144,729,
426,896,127,172,325,332,540,010,049,607,152,158,042,820,069,486,636,151,048,
911,108,625,878,708,423,134,763,403,490,215,078,494,503,519,927,530,977,507,
871,370,575,440,773,366,900,878,271,933,560,794,556,916,399,957,906,433,578,
602,311,058,700,069,955,020,954,849,411,011,869,955,819,905,415,110,521,576,
858,987,081,858,916,968,355,926,758,765,026,230,652,470,138,116,578,446,579,
122,716,225,080,720,975,757,464,745,351,451,342,615,030,570,200,029,400,113,
723,136,572,350,413,081,584,347,944,086,349,421,697,658,530,463,901,732,756,
284,282,041,530,290,033,758,647,259,076,660,291,969,641,862,357,195,570,017,
551,259,283,730,523,590,656,150,862,285,497,049,362,350,923,800,502,928,198,
899,679,694,304,497,213,926,587,071,387,495,685,521,659,643,197,597,625,244,
766,855,835,719,522,918,585,398,881,620,034,013,558,661,105,930,694,701,351,
888,653,606,488,827,456,240,282,395,107,093,457,592,570,765,762,649,862,956,
906,109,641,462,356,083,037,946,022,928,885,302,847,630,187,712,319,503,168,
159,065,003,587,001,460,864,119,153,850,024,915,743,395,156,038,553,395,679,
265,077,634,371,970,651,204,510,385,893,745,413,854,156,051,344,540,813,729,
238,618,306,999,742,437,630,850,874,530,356,015,326,164,896,664,704,974,379,
991,392,557,072,192,006,906,278,017,764,899,749,205,403,322,176,826,511,479,
675,937,732,847,631,415,746,114,869,007,940,468,871,101,636,286,072,835,324,
785,723,289,148,196,367,867,567,096,343,055,364,679,903,739,305,180,345,794,
880,052,228,519,165,523,938,198,659,894,875,822,223,162,650,006,591,847,564,
128,264,077,920,533,048,728,553,660,549,772,941,330,086,553,903,538,742,902,
327,993,998,086,744,864,347,422,462,186,877,178,671,340,610,095,626,185,238,
377,755,039,861,117,731,412,760,022,441,279,823,711,679,889,252,444,335,507,
865,475,586,885,883,251,079,868,518,667,003,314,941,812,908,446,671,203,354,
783,968,962,141,309,828,908,785,062,823,106,940,075,321,001,344,335,240,920,
199,704,123,557,137,939,943,016,275,314,105,806,243,685,199,808,851,253,596,
939,318,488,794,157,541,815,635,542,118,793,240,797,771,818,354,034,707,435,
347,488,084,922,533,230,713,035,398,894,774,767,256,555,260,490,149,317,453,
558,524,447,585,729,830,771,559,827,432,851,104,279,752,727,145,915,761,956,
773,222,826,385,741,599,566,458,712,751,663,766,394,277,391,180,602,347,175,
025,444,325,937,744,415,555,916,564,869,002,620,565,585,649,846,021,551,905,
724,641,327,348,693,588,250,665,626,405,925,350,054,759,209,519,389,783,029,
348,741,595,814,939,044,412,952,208,680,176,338,177,710,011,168,929,526,354,
445,548,280,848,135,165,404,296,069,010,595,502,158,811,893,877,793,211,485,
326,664,631,628,320,455,909,292,290,270,703,511,209,665,067,033,543,627,968,
452,001,188,181,951,344,750,703,782,250,734,736,689,570,956,859,172,554,913,
783,297,265,221,821,373,076,818,261,280,167,791,232,360,349,917,240,511,244,
258,956,338,296,063,945,877,313,649,852,935,436,443,401,162,547,921,175,452,
719,907,275,173,979,350,596,098,613,592,143,447,390,845,420,388,692,549,358,
536,289,945,896,528,058,747,624,433,721,296,644,012,395,940,258,690,211,872,
472,231,961,341,267,907,522,273,203,527,649,789,233,044,982,087,934,409,475,
268,973,431,144,198,289,881,115,247,896,056,190,950,748,908,091,117,921,936,
038,536,444,342,864,560,760,016,333,692,363,053,362,416,460,456,619,970,221,
988,113,487,934,547,639,278,727,284,229,981,390,831,431,848,309,541,564,505,
961,906,827,080,782,040,832,819,669,169,935,814,074,785,237,339,296,813,718,
853,254,471,935,229,204,087,624,578,331,648,794,833,619,717,274,846,568,096,
071,958,162,017,146,412,976,761,474,579,470,424,651,730,237,266,704,825,801,
183,951,110,812,008,896,498,084,569,425,451,557,538,839,618,357,414,826,490,
097,745,327,215,111,255,159,117,268,133,109,561,388,826,741,962,884,840,709,
356,394,927,255,508,436,898,943,401,391,837,705,221,559,761,405,709,305,644,
656,934,799,586,272,231,309,876,427,024,803,620,638,923,354,445,754,731,392,
050,951,000,092,740,486,066,099,109,527,228,302,865,484,577,242,879,242,449,
266,090,410,603,272,281,321,032,609,814,931,094,293,459,652,119,405,501,870,
887,272,953,338,324,948,555,616,124,916,443,651,474,647,164,667,472,062,676,
137,023,049,601,870,783,872,839,582,251,555,082,664,298,797,086,221,389,450,
016,901,736,427,720,600,539,949,601,775,568,157,889,003,637,330,994,967,038,
270,070,496,814,572,570,455,552,012,695,268,788,333,803,535,168,907,996,812,
609,722,429,185,871,619,227,118,146,491,098,777,268,443,007,481,649,129,022,
154,203,849,363,502,222,398,780,031,413,675,382,501,059,847,892,140,704,661,
340,910,920,037,716,468,882,254,151,679,572,777,120,442,681,378,987,037,326,
029,141,593,001,639,770,347,251,685,049,010,274,161,988,984,403,547,862,962,
390,140,057,376,612,552,591,607,861,995,157,413,697,402,027,266,505,396,782,
967,252,420,675,205,017,808,936,369,202,431,902,567,119,004,971,680,364,085,
323,693,629,485,844,806,585,998,055,509,452,663,899,942,669,304,830,307,383,
021,756,616,324,866,187,211,151,857,140,031,895,746,991,138,767,737,594,138,
220,290,685,757,057,754,897,480,690,598,457,865,611,114,866,561,849,846,180,
727,819,843,370,152,503,526,424,570,305,513,340,945,733,162,398,336,750,357,
095,544,220,477,969,311,784,980,444,490,997,477,769,694,490,903,349,850,616,
055,448,920,419,697,765,277,423,628,084,218,827,934,440,577,147,027,278,460,
053,747,251,323,730,828,976,538,421,301,380,472,652,072,968,725,616,495,046,
948,699,735,645,174,285,945,019,113,790,500,745,533,865,245,531,541,894,856,
957,335,030,813,262,319,390,761,433,215,153,842,900,859,992,542,494,239,621,
510,549,185,973,338,453,393,162,443,511,117,377,426,909,534,024,461,124,037,
095,055,255,660,716,569,143,949,242,228,282,921,397,002,072,857,634,657,468,
039,723,126,392,017,989,325,771,674,926,413,994,308,726,082,798,878,223,816,
216,016,751,214,036,078,368,790,921,903,011,772,216,273,162,155,948,573,069,
735,995,958,503,121,909,443,914,675,859,207,227,742,515,460,910,077,421,168,
857,672,230,118,080,389,417,039,863,229,535,275,351,298,644,039,088,958,791,
837,502,928,004,614,943,505,243,574,356,900,779,749,366,514,685,869,792,072,
482,606,461,471,999,028,938,280,890,885,258,116,240,825,390,484,647,741,284,
650,179,327,486,637,041,333,781,722,196,226,344,469,228,445,332,914,934,376,
813,768,959,179,045,292,201,312,408,390,393,071,627,209,385,222,607,523,889,
008,080,123,490,325,658,603,755,912,268,373,201,588,106,358,785,225,187,145,
316,822,204,877,186,790,154,815,658,562,201,405,836,827,667,782,658,150,379,
847,633,289,849,980,907,043,396,497,008,235,192,003,715,451,632,031,904,197,
145,319,305,192,719,640,247,123,938,526,533,376,616,889,947,818,821,717,237,
539,234,372,123,419,085,067,790,027,983,062,163,248,180,449,434,723,697,816,
897,741,478,475,483,070,854,143,503,246,970,779,401,288,072,150,814,937,495,
292,059,499,149,178,471,123,921,667,371,441,791,560,569,273,761,715,161,209,
206,192,383,159,088,151,309,306,491,462,969,778,011,124,370,495,448,384,354,
020,098,690,861,404,658,690,278,839,179,218,560,606,026,193,885,087,815,043,
905,660,452,664,944,291,809,064,072,350,963,490,112,308,893,265,649,890,304,
938,785,143,172,256,445,017,989,646,193,404,067,077,945,844,441,721,549,133,
986,267,385,610,339,164,429,800,241,333,591,249,073,530,336,758,126,661,690,
749,379,581,610,560,141,215,383,205,978,722,980,615,172,507,422,235,520,356,
829,533,664,904,858,527,719,527,552,331,657,953,483,475,670,246,973,652,766,
388,686,771,732,935,392,405,492,910,951,016,200,423,063,642,390,633,877,752,
632,908,373,251,615,696,659,011,698,582,265,080,619,667,848,560,248,477,691,
555,049,668,534,054,601,934,206,048,521,246,334,204,254,665,267,063,076,140,
692,943,451,522,048,447,385,907,790,228,067,264,690,980,484,964,733,752,396,
435,012,303,166,111,915,671,587,608,759,730,738,093,873,991,897,423,694,716,
978,781,058,214,157,912,937,154,825,929,392,789,273,005,864,362,377,013,010,
712,371,800,099,506,153,522,163,220,290,751,570,073,743,222,791,875,358,890,
815,765,811,153,763,811,638,978,811,404,906,089,043,589,869,352,011,167,061,
409,340,160,608,810,541,912,405,988,976,434,341,942,015,896,126,993,784,766,
204,164,372,908,402,099,403,450,028,700,196,709,493,764,621,670,727,905,081,
758,387,969,248,236,447,286,412,077,364,610,169,151,819,391,022,567,866,346,
980,527,895,892,666,128,861,868,386,904,319,344,227,929,749,231,069,828,223,
597,374,592,392,469,388,318,757,594,451,790,872,871,636,456,675,978,768,118,
590,556,270,165,337,870,255,037,820,860,384,660,806,896,968,270,495,656,318,
260,114,372,411,543,124,519,583,229,657,669,403,238,284,261,857,616,326,307,
804,845,471,682,477,407,588,604,264,870,498,665,536,340,842,911,195,033,626,
477,052,402,364,234,221,393,787,862,725,322,660,792,003,862,599,568,259,367,
202,657,347,353,372,720,226,631,287,446,022,047,772,714,852,611,604,558,382,
756,474,800,340,151,244,939,021,750,386,606,965,141,995,733,564,884,774,042,
906,071,794,758,368,327,227,831,393,261,507,026,374,314,002,931,884,577,157,
505,566,352,199,916,787,518,518,557,080,115,987,602,844,819,370,053,435,216,
244,696,910,569,098,191,113,891,483,134,159,715,450,130,068,303,882,781,608,
627,552,101,326,214,548,336,309,602,086,185,591,518,190,700,309,191,176,991,
686,616,625,399,246,448,152,860,306,871,686,287,015,546,052,635,351,567,517,
107,521,216,291,426,657,299,533,704,582,275,041,008,131,022,932,552,369,676,
203,935,414,779,359,641,340,919,223,746,180,522,218,611,275,989,993,165,522,
591,439,501,489,665,279,088,790,397,098,095,203,388,184,424,391,579,711,491,
761,030,679,249,826,127,049,658,703,125,655,607,409,696,899,348,154,008,353,
900,415,472,398,567,444,581,391,135,463,221,506,183,899,645,785,423,328,130,
253,575,388,659,323,851,496,451,476,669,462,237,245,666,866,110,299,688,851,
995,288,237,368,034,426,534,787,870,380,114,124,836,261,689,603,091,409,250,
447,549,021,533,483,073,308,511,833,110,309,255,852,211,522,312,355,469,546,
744,124,930,830,378,590,976,326,424,657,245,647,429,945,613,211,468,925,606,
582,104,909,276,162,136,479,847,167,512,880,581,823,229,834,253,311,462,268,
146,082,412,238,709,883,198,971,646,413,000,395,030,747,663,979,547,118,749,
579,094,709,775,331,245,740,222,458,690,222,743,743,192,794,057,408,515,097,
040,839,137,604,935,445,348,619,606,782,137,394,913,539,636,371,632,568,335,
239,089,120,190,139,590,786,217,818,738,004,753,539,410,866,449,129,767,671,
015,690,960,365,298,879,806,550,067,695,051,546,742,742,897,630,154,881,742,
872,120,306,490,777,829,312,838,932,935,511,481,400,879,711,584,126,820,461,
268,696,094,763,754,885,774,153,447,630,213,118,472,650,372,201,161,186,783,
177,004,382,190,530,223,515,602,422,196,412,272,466,233,212,121,709,400,713,
913,973,795,486,303,441,987,539,119,119,076,377,649,082,527,841,347,239,754,
711,280,947,266,839,227,496,000,578,813,522,877,069,626,563,738,506,149,733,
248,241,553,179,627,664,861,000,140,657,915,586,786,177,265,984,457,572,477,
041,657,212,007,387,261,169,015,665,179,730,996,981,670,803,166,663,965,315,
488,380,126,669,371,740,556,408,966,160,257,425,418,599,833,919,602,071,195,
936,063,492,379,595,464,332,487,135,389,555,077,070,880,710,647,120,366,724,
290,454,571,406,894,306,628,644,487,559,672,776,665,918,496,026,845,802,053,
945,721,263,966,418,140,917,063,389,898,063,604,657,226,821,779,045,388,589,
104,934,403,289,900,413,432,330,676,131,084,396,215,740,989,540,934,306,884,
546,788,770,488,769,038,912,666,162,418,598,169,773,361,303,098,967,325,340,
012,300,733,331,464,225,640,640,092,582,044,178,656,726,858,180,779,112,822,
281,660,520,739,244,636,323,923,927,957,261,114,328,794,332,271,821,556,080,
882,647,009,125,885,500,500,674,530,134,253,496,253,887,328,452,481,167,321,
109,869,606,646,132,657,590,844,029,789,225,311,852,899,449,807,347,845,863,
006,086,817,268,494,904,497,304,075,291,947,998,124,271,416,842,819,568,743,
399,905,816,487,773,253,925,135,876,785,980,691,276,669,208,682,403,033,069,
805,789,001,624,757,914,434,475,120,395,922,321,205,911,696,624,621,388,352,
319,144,852,526,410,898,920,935,782,071,038,552,338,539,118,720,909,910,741,
485,968,913,765,965,288,924,482,319,130,527,768,394,109,965,622,932,890,418,
356,422,057,943,913,054,246,550,775,045,256,962,153,865,735,485,620,437,875,
463,380,617,072,785,869,245,765,113,647,478,544,929,532,220,466,871,764,251,
679,144,556,949,085,695,338,539,903,255,620,143,660,703,776,073,539,351,974,
901,206,961,235,044,728,914,567,498,796,626,287,189,788,859,674,434,141,343,
683,398,808,469,477,317,806,576,663,537,541,294,687,756,286,276,992,515,550,
211,013,645,043,213,782,114,661,241,113,668,959,936,585,753,353,687,777,273,
603,182,004,300,403,650,985,819,661,959,947,738,208,625,802,352,063,685,976,
175,497,338,984,257,595,503,342,156,473,191,597,404,008,167,605,104,938,277,
672,194,024,160,280,554,136,060,027,790,739,551,303,323,202,084,161,658,634,
084,040,130,912,152,991,233,767,632,766,636,286,750,540,173,400,671,957,110,
853,244,127,919,241,112,349,689,156,580,244,959,524,664,319,974,780,992,552,
699,577,330,023,948,870,297,297,326,944,720,877,955,827,136,108,656,422,137,
112,827,772,617,204,393,662,324,724,431,457,319,479,412,501,079,028,083,219,
257,044,963,742,514,788,924,520,713,988,869,282,585,970,837,535,026,731,482,
848,652,371,950,499,881,686,407,664,134,790,732,995,577,570,993,539,921,086,
708,362,524,868,276,477,582,990,667,878,919,265,243,533,590,165,178,013,878,
402,987,471,480,234,830,176,923,372,673,609,117,142,260,460,303,320,706,796,
620,409,459,139,724,706,200,824,557,027,762,719,510,657,930,833,804,548,250,
959,423,002,208,399,331,847,527,762,158,591,709,969,917,553,922,130,361,353,
462,890,421,375,205,088,309,266,818,211,542,278,919,837,055,370,643,269,218,
040,822,377,671,067,356,926,210,757,391,687,102,893,685,888,279,121,249,715,
187,676,604,460,769,005,886,252,077,701,820,137,737,152,574,372,038,957,053,
717,808,885,428,440,097,740,031,940,721,591,628,096,119,303,385,366,640,748,
084,514,076,174,256,991,489,047,656,419,820,503,769,714,270,274,740,838,968,
637,833,373,312,795,703,229,417,810,298,306,373,143,253,587,186,453,345,159,
003,799,515,396,539,043,306,914,081,033,945,150,600,525,895,880,711,547,313,
904,754,214,444,783,004,152,188,612,054,633,776,300,701,842,425,556,811,383,
678,463,589,272,455,410,356,193,931,345,525,781,024,952,430,038,244,453,646,
791,360,174,952,530,946,084,498,360,850,324,316,200,210,859,535,513,972,832,
416,077,462,787,216,663,222,986,654,590,260,288,652,986,488,576,472,980,647,
739,004,776,856,480,971,476,364,586,943,410,463,718,386,224,266,062,435,021,
134,036,275,635,386,017,383,951,054,056,293,793,349,202,026,679,720,222,198,
527,690,623,466,569,897,238,188,461,377,559,051,546,840,696,446,341,142,090,
163,800,267,111,297,899,742,407,043,695,021,544,426,437,701,839,819,867,376,
106,024,096,554,457,679,657,031,452,411,866,213,334,030,260,677,214,280,951,
626,022,138,532,361,254,355,407,989,519,660,334,285,306,871,919,601,245,385,
331,976,562,523,819,927,757,817,033,408,994,790,619,037,370,691,716,093,819,
149,367,141,163,960,837,733,322,971,065,018,941,469,583,343,539,829,624,089,
627,108,591,899,195,671,610,531,201,859,635,889,956,725,900,004,757,619,651,
806,998,382,895,214,476,607,241,798,149,561,768,213,670,676,183,080,791,020,
398,090,954,356,467,059,246,403,563,280,861,078,237,997,578,757,876,568,750,
647,318,951,169,203,352,606,781,539,474,091,539,705,080,161,069,002,962,381,
244,495,874,974,647,689,270,573,005,455,146,252,788,328,554,329,995,686,200,
993,518,697,305,214,720,575,781,206,591,264,460,576,321,610,346,692,950,698,
739,567,628,293,919,619,512,755,352,884,229,925,012,855,056,471,262,881,113,
811,776,408,116,104,729,330,781,525,509,980,685,044,183,220,833,529,861,422,
554,886,193,967,826,379,376,723,836,900,835,574,331,880,273,794,585,150,249,
310,492,909,112,809,290,237,104,975,522,834,554,011,210,577,627,389,841,755,
966,351,511,063,231,257,848,144,202,860,798,253,137,771,486,997,751,234,841,
999,185,851,422,165,877,107,114,737,919,826,501,720,904,119,940,620,522,913,
915,778,519,350,402,869,906,610,764,405,852,562,746,412,361,211,606,998,266,
064,359,858,199,359,771,616,390,769,526,765,648,611,909,975,898,963,754,142,
783,173,490,963,671,844,145,536,640,217,687,681,649,327,700,559,850,857,403,
031,695,022,623,825,786,006,569,350,166,974,802,221,826,373,227,690,812,206,
606,299,558,521,882,063,465,237,941,554,382,741,846,286,838,131,853,389,100,
899,939,838,337,449,126,922,013,604,336,880,662,290,808,315,028,093,747,725,
817,610,412,792,481,453,130,367,217,411,825,925,189,069,233,710,214,259,720,
941,141,932,250,273,882,569,080,542,549,366,075,477,141,916,093,763,466,472,
803,815,317,789,704,916,766,348,915,329,062,992,809,891,984,866,868,869,353,
596,065,074,703,060,973,419,269,835,398,630,895,551,050,192,457,674,396,436,
801,742,558,082,860,187,200,309,427,248,345,846,263,173,945,861,328,847,347,
855,298,804,427,896,534,734,351,555,084,980,591,520,917,828,005,681,647,874,
129,780,846,354,748,866,084,630,841,156,023,333,225,940,193,988,529,824,824,
116,210,859,640,900,525,907,598,503,268,562,678,528,709,227,412,593,524,049,
153,481,862,610,026,901,644,847,932,319,706,292,211,020,603,400,092,229,127,
548,528,669,681,791,393,241,872,759,012,802,084,515,738,772,950,287,053,495,
614,331,199,028,979,099,910,159,413,898,263,790,572,095,948,917,717,264,233,
118,701,307,905,463,443,769,888,025,165,898,073,012,296,150,489,281,079,219,
477,828,725,719,102,238,753,399,164,911,192,679,548,470,802,011,760,141,829,
980,928,205,941,205,334,530,973,614,848,049,460,476,081,006,903,892,566,108,
144,185,715,598,245,761,386,208,960,538,337,775,076,408,879,997,803,176,855,
998,846,628,170,636,611,416,814,738,309,844,917,064,677,535,507,598,003,328,
250,267,396,057,946,938,359,570,680,482,977,804,556,733,862,405,194,457,945,
533,096,612,543,206,823,148,500,851,940,850,645,258,655,532,325,402,823,289,
334,968,898,801,031,553,274,009,752,247,939,198,546,823,805,091,255,975,944,
389,985,754,345,297,843,862,331,270,769,037,882,989,783,483,449,048,764,211,
278,657,371,274,995,330,358,046,873,897,436,597,699,329,172,823,115,562,159,
893,203,922,983,560,721,791,390,154,837,439,251,792,952,979,591,236,038,024,
501,065,179,303,159,963,476,247,064,545,710,445,414,658,753,892,631,048,234,
230,589,658,719,541,484,282,928,053,873,490,429,843,042,973,589,794,826,762,
792,347,777,166,140,404,315,250,386,641,174,075,351,837,006,873,807,684,526,
322,236,143,577,024,569,058,228,778,680,815,085,182,400,324,367,883,632,845,
785,882,455,328,284,605,638,227,957,018,615,886,502,671,581,384,093,336,933,
288,683,371,120,591,866,412,358,386,166,259,495,549,352,417,973,081,307,822,
746,490,518,264,869,113,162,232,709,278,744,526,711,443,713,037,711,097,011,
917,592,221,654,333,445,045,299,958,519,039,242,161,766,008,134,241,399,148,
851,341,366,765,469,718,768,305,664,749,726,262,190,715,867,711,918,383,505,
877,043,021,180,075,191,345,613,784,994,846,309,818,927,243,994,799,179,934,
015,655,376,066,011,279,034,501,815,496,299,740,967,118,963,180,451,007,356,
297,709,253,282,947,969,904,276,202,658,868,497,055,490,458,065,593,312,658,
024,845,813,709,692,517,312,801,916,149,184,741,200,978,858,667,897,968,842,
438,249,967,785,245,292,359,295,972,439,936,653,037,826,550,690,276,920,082,
202,298,268,701,958,424,417,764,643,266,485,504,126,159,173,226,722,902,476,
729,102,102,888,930,591,527,988,832,148,604,064,942,598,917,382,895,215,126,
695,000,186,168,787,868,209,658,814,885,135,778,695,462,356,699,678,455,470,
023,401,071,838,244,850,759,784,552,602,792,128,482,514,829,659,753,193,728,
929,823,331,950,747,056,928,409,791,110,137,571,195,441,294,188,320,092,723,
308,246,437,578,054,046,299,765,464,160,501,671,591,139,663,916,050,092,905,
669,547,190,108,281,261,798,094,556,361,033,471,213,648,803,020,774,758,448,
222,953,678,956,984,500,080,551,963,585,836,212,706,130,269,652,509,725,380,
037,426,233,186,012,075,118,523,923,156,043,577,021,037,461,326,526,136,339,
222,807,843,645,610,049,940,050,206,034,798,763,770,038,201,052,334,847,233,
978,748,376,375,961,905,415,018,734,937,143,666,979,299,315,590,688,219,715,
673,792,766,159,022,660,165,494,578,703,197,880,734,353,138,280,835,353,400,
752,420,358,041,975,553,568,101,769,578,651,627,508,143,854,547,814,458,293,
667,915,647,290,617,877,213,081,857,878,809,854,206,835,355,224,274,594,236,
716,438,120,837,570,279,976,833,920,902,928,846,204,579,340,544,782,801,553,
333,324,450,214,613,285,101,913,961,670,928,622,944,268,814,155,700,072,603,
591,835,158,604,363,922,826,179,245,258,900,292,850,669,794,302,965,192,957,
632,497,104,484,366,537,936,165,534,272,287,969,285,787,459,187,556,384,969,
631,218,311,369,977,644,770,328,234,989,916,703,032,861,491,793,716,214,860,
231,077,550,367,506,345,990,307,950,225,644,128,895,147,238,946,802,068,502,
326,597,155,840,893,810,931,099,265,381,544,501,576,651,069,150,654,322,333,
325,995,592,678,921,205,774,278,797,533,645,804,636,833,433,882,328,956,657,
701,493,467,725,811,487,377,628,707,181,219,190,826,050,417,697,653,974,291,
891,228,357,347,087,177,135,864,127,149,686,945,381,284,081,732,306,075,536,
726,596,542,621,231,290,699,339,910,562,773,792,919,161,543,457,203,484,720,
470,741,820,398,302,110,966,756,888,203,251,003,324,343,500,132,876,245,205,
650,894,884,036,756,287,858,059,405,179,731,660,178,553,868,114,254,569,815,
984,004,364,057,936,569,554,918,606,194,438,843,429,940,144,817,470,275,554,
879,259,264,916,713,796,126,595,322,027,790,604,017,006,352,663,911,818,354,
439,374,992,776,807,829,985,345,631,121,765,670,474,962,455,716,769,007,923,
060,383,886,811,499,460,199,982,985,828,482,306,349,412,956,850,089,794,514,
448,730,590,342,580,581,447,629,607,506,784,805,289,254,441,309,150,388,256,
089,995,595,882,428,441,493,294,158,345,351,372,729,796,251,350,287,515,259,
684,517,083,493,751,295,692,421,068,469,003,183,514,406,707,314,049,086,304,
264,450,148,604,544,776,910,016,904,767,996,701,263,074,977,546,115,489,939,
205,465,591,033,941,380,374,500,235,620,519,727,230,284,707,890,724,864,111,
772,913,392,225,122,104,952,548,127,308,127,796,018,906,812,813,812,881,764,
992,133,026,967,564,440,914,079,511,271,431,193,236,493,679,389,577,477,642,
972,422,242,185,142,265,101,609,529,695,384,641,509,520,536,406,997,390,142,
951,835,131,320,539,724,243,510,911,546,289,250,957,908,814,794,040,306,954,
405,131,739,653,726,078,564,918,956,000,685,375,283,892,293,003,632,251,340,
918,390,183,301,419,853,651,611,916,253,775,044,486,604,878,430,570,370,335,
077,505,548,654,150,000,657,370,404,614,510,835,160,442,173,034,376,622,633,
911,497,478,527,104,011,287,263,356,691,063,449,000,380,947,328,453,438,498,
010,552,248,903,097,440,758,769,117,623,802,603,873,668,076,195,524,375,938,
217,105,552,788,516,023,249,197,387,964,793,932,372,345,625,967,220,992,527,
027,789,633,433,518,700,881,243,110,305,849,020,300,077,061,075,584,676,120,
323,600,458,201,314,555,193,674,769,656,607,901,668,241,338,702,976,949,348,
282,087,065,232,047,946,704,369,628,621,369,826,233,596,251,692,326,161,356,
066,111,554,822,387,638,737,395,906,650,467,106,232,156,101,379,367,212,613,
428,605,813,111,855,208,472,177,504,239,701,672,604,016,574,200,311,601,929,
922,418,520,601,453,761,502,903,908,883,089,452,055,053,324,228,744,028,128,
259,469,600,759,531,504,161,297,634,258,009,057,381,445,246,003,463,400,442,
816,198,906,468,099,796,233,454,283,619,493,942,409,705,951,757,149,582,492,
661,674,998,503,701,379,391,251,679,446,702,985,835,955,491,442,887,908,941,
704,930,347,374,209,703,488,279,721,919,194,521,936,751,105,483,790,086,016,
514,363,292,018,172,768,044,976,629,998,764,610,736,613,266,457,355,543,834,
938,172,729,163,829,668,152,077,143,823,052,002,101,911,205,336,413,205,874,
534,423,357,445,007,314,916,454,873,179,559,523,672,260,004,644,904,452,957,
825,755,350,772,594,094,188,163,159,529,403,474,467,761,007,716,761,515,675,
079,037,779,778,238,522,136,113,170,346,025,704,506,328,196,701,102,217,888,
122,296,216,961,169,026,707,246,292,262,480,226,614,727,661,863,180,848,824,
665,797,245,167,996,656,246,683,824,553,488,934,421,081,103,440,274,069,915,
496,285,142,133,241,354,424,435,992,292,893,642,245,909,900,325,801,475,678,
899,172,240,308,891,667,825,397,423,155,589,557,044,550,393,922,397,421,277,
771,930,003,745,885,263,853,010,249,291,012,986,739,058,952,499,596,020,682,
635,610,044,031,799,573,595,675,331,610,098,772,551,834,912,548,151,583,841,
454,824,931,801,502,873,450,116,226,350,257,723,560,407,943,130,274,248,391,
480,232,115,519,572,429,065,997,601,657,314,138,243,756,907,452,484,714,497,
370,094,175,806,478,499,479,568,788,909,050,923,664,295,097,812,602,658,208,
199,061,240,921,372,169,028,960,819,271,589,605,334,262,956,595,340,308,748,
780,574,301,666,527,904,194,625,575,926,075,298,037,841,601,989,206,081,501,
848,435,350,370,996,627,990,471,106,393,103,837,594,974,007,628,670,891,400,
139,251,459,700,386,786,462,925,322,876,244,031,631,850,681,794,424,773,327,
205,413,225,452,343,376,807,839,856,044,611,656,257,686,648,508,567,656,597,
200,611,768,345,439,020,318,258,116,736,006,088,299,753,463,203,599,460,073,
622,961,740,640,169,738,621,193,044,312,333,367,371,352,312,407,712,216,591,
161,215,431,061,174,778,126,959,633,039,516,910,379,854,710,879,000,838,574,
304,581,952,614,611,211,549,410,799,893,832,308,392,520,767,053,659,189,831,
222,265,654,233,569,068,509,439,691,363,587,463,765,264,452,766,988,200,914,
532,080,574,576,247,920,898,168,675,215,729,889,358,533,533,988,283,785,668,
186,591,770,720,243,958,152,728,050,132,487,723,899,408,881,849,535,195,375,
757,536,582,051,362,143,248,386,998,834,344,315,605,433,393,301,124,535,866,
524,709,606,232,463,160,466,649,860,823,209,361,953,554,309,572,548,452,411,
892,373,937,242,722,917,212,405,462,288,743,463,497,523,395,413,607,136,605,
335,406,862,244,243,703,036,072,857,052,891,202,090,927,186,158,199,065,244,
468,571,508,999,279,074,259,500,579,493,952,352,495,577,826,193,392,353,208,
044,958,365,138,045,795,313,004,449,033,169,552,594,443,681,310,141,262,840,
176,626,719,038,171,155,839,901,519,635,165,411,621,007,763,662,175,595,639,
138,030,699,819,730,804,343,308,507,097,370,390,332,800,896,976,178,176,884,
128,037,869,732,395,854,060,606,021,056,326,178,552,764,950,518,904,464,344,
201,790,390,646,068,988,186,255,312,739,462,480,616,123,909,930,591,873,443,
654,288,034,923,869,051,915,161,930,700,102,639,607,434,585,024,075,949,668,
690,104,899,361,599,202,167,005,206,522,897,684,298,762,190,535,924,421,363,
846,924,952,420,277,959,694,353,061,478,314,414,413,814,835,581,398,494,750,
838,393,401,598,592,042,221,049,813,376,312,560,108,457,321,408,753,424,674,
644,676,126,729,226,872,763,001,142,365,302,077,381,014,308,723,687,369,679,
405,256,893,631,463,481,429,357,047,035,117,340,952,935,497,749,036,683,823,
136,058,994,724,251,804,512,354,151,515,345,550,039,087,344,922,012,579,934,
094,804,729,221,978,105,106,062,280,873,596,897,448,742,502,962,668,819,511,
602,264,699,106,948,162,113,719,767,360,967,500,765,914,330,297,013,574,074,
938,036,328,738,090,549,789,299,621,924,750,277,551,511,393,930,073,013,329,
395,553,680,043,706,951,539,978,598,380,410,010,501,045,313,382,675,540,028,
878,817,768,466,493,116,319,265,953,058,248,102,587,189,354,867,001,455,858,
854,364,642,360,422,058,416,422,735,884,514,176,705,189,642,226,739,587,459,
006,032,875,243,195,863,960,489,355,881,448,379,219,424,239,662,021,990,343,
614,967,066,807,187,986,497,198,759,846,192,959,375,071,378,241,794,506,031,
308,155,653,846,449,946,336,789,380,293,948,106,015,839,174,798,482,744,933,
376,063,148,405,341,145,431,517,387,753,182,221,016,616,060,999,290,768,104,
913,281,908,546,893,317,893,199,526,951,366,757,564,369,371,764,003,086,931,
602,388,069,419,167,797,714,707,033,120,904,019,324,926,411,512,875,666,308,
981,200,581,021,471,601,628,696,778,039,532,990,590,388,404,124,751,890,092,
477,324,469,769,918,873,039,012,945,272,169,686,269,903,263,165,655,440,685,
486,286,358,099,659,700,340,950,767,436,752,750,297,833,056,163,151,854,158,
423,356,861,773,300,859,930,602,186,881,614,265,489,716,854,835,498,071,789,
624,248,589,091,784,120,223,367,361,327,032,917,038,412,359,531,161,805,969,
670,836,219,193,072,482,920,488,773,114,955,314,387,549,527,555,441,626,495,
675,106,260,816,307,979,797,444,550,224,934,037,967,446,829,777,049,876,931,
878,446,861,111,839,653,288,243,250,362,602,587,615,410,713,151,060,830,624,
661,069,498,260,876,931,201,216,221,552,057,127,910,941,227,402,230,358,016,
715,619,002,295,256,395,688,263,010,489,934,403,094,958,351,914,585,730,228,
932,259,964,271,254,922,162,771,148,165,295,629,910,590,461,562,886,917,687,
008,881,252,714,875,490,655,627,752,916,912,358,568,914,019,355,768,790,124,
508,296,493,235,054,766,532,014,470,156,389,715,155,441,331,103,972,632,211,
542,558,025,016,169,000,552,576,368,225,152,332,882,107,056,194,582,240,134,
927,391,258,585,271,553,981,970,438,736,456,293,164,417,167,635,737,424,000,
679,664,022,920,589,091,522,013,350,914,148,359,939,864,420,532,662,401,987,
216,866,769,919,748,574,696,063,362,842,500,626,674,401,165,417,896,113,748,
520,709,045,805,228,575,008,670,383,813,216,135,960,067,239,922,454,486,866,
650,994,706,318,046,004,328,301,997,633,817,683,599,909,731,689,851,443,585,
609,356,435,805,275,881,089,640,200,511,904,659,873,147,105,876,410,950,621,
795,449,514,160,967,041,385,949,575,795,182,218,601,729,386,731,874,212,184,
022,088,610,853,657,535,576,950,950,640,739,028,468,971,252,774,588,431,797,
677,764,250,911,606,513,017,302,250,054,055,446,638,989,601,295,466,931,277,
704,502,369,842,764,538,832,257,801,386,082,818,260,677,111,498,361,631,924,
663,641,128,638,224,790,041,437,775,634,518,224,665,680,609,279,679,238,570,
858,443,343,762,921,867,781,663,812,418,062,649,824,104,583,061,283,113,640,
693,050,698,134,895,160,493,762,298,221,688,934,964,969,673,194,478,558,198,
142,615,562,307,894,682,554,890,468,587,816,234,837,167,610,031,849,294,374,
954,689,929,597,000,878,893,539,763,961,256,046,673,437,838,859,533,804,057,
625,499,817,103,080,530,262,118,449,388,053,938,359,319,496,050,967,356,465,
665,649,629,505,210,987,516,321,134,010,250,419,358,968,897,730,787,960,936,
075,541,660,507,153,919,275,436,771,002,570,626,398,528,648,831,363,385,443,
505,564,235,405,798,617,689,631,261,294,261,479,404,732,740,124,560,260,471,
677,466,060,677,770,921,780,836,174,002,536,311,082,486,493,555,007,156,382,
459,244,232,687,553,616,130,555,995,140,330,468,370,862,846,951,280,049,560,
710,874,413,164,760,255,016,696,693,910,618,846,763,692,673,056,550,731,470,
497,804,452,131,222,875,677,559,583,010,569,743,290,621,598,366,987,871,516,
961,146,033,005,556,867,392,083,281,524,091,907,260,125,233,903,077,173,737,
192,244,971,542,400,041,186,152,977,476,323,800,889,714,601,273,648,810,162,
934,493,602,622,259,226,296,184,488,862,925,978,000,450,256,499,159,057,866,
390,039,829,546,413,425,239,056,525,392,914,086,603,651,371,745,823,774,311,
389,978,635,499,045,899,980,989,863,319,356,035,043,928,452,332,522,281,728,
772,845,068,993,237,240,881,235,775,135,703,872,706,747,695,465,677,501,167,
546,344,977,477,127,712,830,404,018,812,971,771,868,266,727,267,764,655,713,
298,520,163,857,184,922,176,054,213,896,226,079,923,552,908,761,659,512,302,
744,191,864,110,532,804,295,214,092,254,554,144,782,417,318,913,948,341,056,
694,976,310,224,897,805,580,423,211,565,099,245,417,799,560,624,563,680,414,
211,648,537,605,939,454,126,298,875,700,716,779,532,292,104,080,408,387,952,
666,613,296,109,367,054,943,138,530,507,999,043,577,217,803,809,711,580,969,
501,618,620,446,344,210,600,948,437,221,549,822,285,677,416,828,600,587,602,
485,530,495,790,169,083,670,794,097,157,066,814,624,150,710,287,023,754,064,
894,496,220,410,796,764,339,982,722,856,064,411,554,757,982,476,595,501,852,
626,215,121,481,843,572,531,431,629,056,831,900,956,901,309,805,903,427,286,
986,862,792,335,511,509,688,371,809,986,909,283,156,935,945,734,300,754,750,
285,790,780,093,051,154,117,595,564,305,486,483,116,025,958,252,349,788,529,
358,876,588,401,514,689,927,247,667,372,739,801,211,705,058,025,332,371,062,
080,025,016,964,246,092,967,056,101,248,331,669,455,885,392,543,542,916,364,
664,202,957,400,170,543,071,310,441,425,008,225,739,546,300,663,169,779,001,
716,051,907,146,702,428,049,323,678,691,041,692,539,485,811,316,032,992,227,
069,455,158,782,862,060,697,238,210,623,778,637,049,698,254,651,758,646,846,
537,928,497,272,882,224,466,370,009,386,514,893,986,163,554,555,916,455,574,
879,138,079,658,730,572,793,890,801,206,145,501,620,009,110,715,944,689,946,
849,710,970,481,579,578,983,445,224,321,289,183,356,068,941,148,530,869,421,
252,928,966,752,917,923,824,914,937,057,871,426,339,230,440,565,695,435,196,
588,100,561,265,319,740,455,303,742,394,751,793,400,420,477,738,311,843,366,
206,599,430,130,818,665,618,892,517,656,504,474,141,879,686,502,336,658,512,
335,811,720,161,403,798,137,306,541,991,773,908,900,064,315,042,127,104,565,
159,780,324,101,325,190,212,225,551,919,293,765,772,740,580,943,101,241,842,
251,055,097,352,141,469,941,545,674,982,279,425,867,938,460,187,392,703,456,
385,663,761,289,433,769,427,487,506,746,554,714,489,523,700,153,243,679,306,
325,423,415,106,648,199,480,468,823,770,574,347,118,095,701,247,074,866,164,
263,558,504,298,524,579,301,969,137,207,033,333,927,790,721,347,943,378,401,
738,500,345,803,511,803,166,480,902,251,577,473,155,717,385,974,273,748,855,
954,688,475,420,389,691,489,141,950,496,254,631,342,306,107,525,334,625,683,
912,647,861,856,904,459,990,874,088,195,888,745,132,673,321,347,995,165,145,
668,106,468,229,817,635,562,875,804,898,128,840,176,388,459,299,490,284,473,
002,751,164,197,481,847,225,466,512,190,901,759,414,221,240,296,291,993,804,
817,109,492,131,231,048,075,323,117,537,941,297,205,064,109,755,221,866,988,
109,256,219,196,309,369,253,676,929,542,371,851,607,361,470,929,278,342,701,
376,669,376,332,340,106,221,119,436,475,360,502,024,387,008,313,674,201,389,
400,879,907,485,810,266,287,229,658,848,750,023,433,741,368,917,526,331,090,
539,465,946,077,219,171,393,354,583,875,259,427,388,096,397,195,536,695,512,
060,647,867,090,915,917,050,316,347,547,877,928,740,086,536,719,451,931,225,
858,544,969,651,470,084,290,775,861,391,353,384,916,042,039,435,980,319,631,
667,647,000,623,028,797,828,945,442,320,657,493,333,485,523,596,551,565,105,
673,182,907,934,731,337,545,835,032,879,318,922,184,779,214,555,925,487,428,
436,435,292,334,274,069,641,303,227,808,049,325,909,536,103,720,321,372,360,
157,161,249,556,086,206,110,904,683,894,050,119,935,948,976,926,411,450,819,
145,488,341,482,363,458,125,452,647,003,215,468,831,926,286,598,586,966,993,
831,399,195,904,451,138,740,716,970,494,056,292,042,558,984,270,276,734,232,
201,434,558,902,099,489,244,200,338,341,266,111,368,066,120,370,069,824,457,
466,696,606,625,231,781,923,739,231,193,578,157,222,703,086,129,671,704,451,
001,023,651,691,778,035,270,866,520,900,898,886,263,324,101,395,010,141,007,
266,625,569,552,651,162,292,937,201,211,221,939,748,089,874,818,015,280,723,
517,452,144,713,539,833,607,427,286,188,374,546,307,275,614,134,112,868,355,
770,669,000,397,035,546,520,052,317,411,218,192,498,815,403,507,141,120,006,
441,402,951,173,080,426,565,838,296,735,704,661,210,641,291,582,986,394,032,
383,104,246,090,820,044,417,374,494,441,721,218,411,036,960,250,066,366,538,
545,556,331,099,081,867,569,521,382,540,258,858,797,975,750,925,799,893,635,
758,166,019,828,725,766,098,343,322,949,753,921,180,457,846,540,790,553,448,
733,187,359,477,191,209,459,163,261,881,815,491,467,999,527,401,269,417,733,
688,986,186,730,497,081,360,516,373,514,294,266,270,321,865,488,176,930,272,
052,240,302,023,802,322,363,711,679,635,030,812,554,631,387,807,477,014,933,
204,884,769,529,770,572,685,528,336,389,769,595,735,612,991,180,356,843,002,
590,748,149,315,888,152,380,249,753,427,560,226,805,346,458,667,301,318,957,
516,230,333,963,373,869,007,403,805,096,357,319,965,529,563,604,551,719,559,
994,282,514,258,279,713,789,548,079,981,324,472,842,771,361,614,446,972,050,
207,021,996,659,391,987,312,847,974,281,070,757,664,830,819,640,280,887,645,
058,393,284,867,609,945,606,735,977,407,711,632,826,458,000,252,641,169,098,
606,363,896,189,936,225,063,376,686,630,061,899,597,654,470,759,802,832,789,
145,213,392,027,901,354,912,857,217,015,090,133,072,291,677,202,632,246,701,
556,001,643,784,699,726,458,694,353,916,845,403,905,466,904,669,819,341,613,
787,167,158,407,930,113,372,545,173,707,158,603,401,586,615,791,081,885,234,
987,753,587,997,055,850,203,982,372,632,050,253,892,392,660,540,779,233,154,
464,074,149,002,762,071,048,859,246,302,388,531,113,518,296,967,479,303,449,
338,067,476,130,164,292,032,455,321,142,767,233,062,684,914,137,856,676,821,
435,658,779,313,128,670,279,984,327,923,204,634,884,524,856,220,195,531,684,
521,539,843,929,678,719,246,091,167,442,282,459,440,982,677,598,789,113,740,
074,801,901,706,201,067,194,057,892,600,127,366,879,604,500,874,433,601,580,
910,701,710,718,632,051,619,456,268,543,146,687,970,949,043,902,368,415,382,
556,067,220,024,325,939,315,849,152,753,018,829,855,639,468,414,395,483,711,
325,335,824,833,023,299,321,735,822,147,182,283,118,896,374,791,524,193,116,
771,657,383,123,730,164,936,262,879,279,155,954,871,765,325,344,229,288,995,
609,619,301,679,127,027,633,122,286,980,333,883,563,065,601,522,596,696,675,
873,833,032,047,656,315,064,377,232,751,155,476,740,548,890,360,056,781,112,
958,407,122,633,386,443,549,005,486,610,547,426,209,510,099,869,255,111,582,
502,246,602,562,739,779,755,947,454,952,296,970,096,642,255,546,688,886,690,
900,041,833,045,652,485,412,170,740,049,790,722,306,351,327,470,260,767,710,
191,280,766,909,163,590,152,696,896,832,066,190,967,272,844,820,411,017,152,
624,274,735,420,374,934,758,085,701,454,577,458,680,003,758,949,618,465,252,
577,364,135,318,300,506,369,711,824,081,645,721,047,704,872,795,288,379,841,
804,205,696,379,973,179,420,318,826,243,628,843,302,727,415,866,486,508,771,
966,859,068,162,368,834,194,450,126,275,085,102,684,262,394,980,995,882,470,
072,967,136,010,188,019,328,468,623,069,969,459,222,457,506,015,577,064,086,
283,114,854,718,505,015,787,927,352,141,373,305,355,635,458,395,237,053,097,
595,897,156,959,896,457,108,186,331,752,489,222,306,684,500,219,195,001,286,
245,666,832,256,135,069,204,852,603,735,517,607,376,121,367,700,486,241,770,
765,288,902,840,448,747,464,480,238,442,825,759,100,280,601,627,183,094,658,
610,535,432,473,761,975,125,539,237,261,521,211,053,764,241,632,550,829,267,
139,808,995,086,796,016,665,389,429,352,281,875,871,988,661,869,803,131,266,
316,650,389,338,746,907,410,456,962,909,725,957,376,384,698,072,162,972,821,
314,860,352,885,664,601,521,357,476,130,261,019,364,872,861,351,641,171,582,
685,087,170,527,064,257,628,826,785,102,883,382,083,381,739,066,273,777,951,
413,393,532,511,624,877,614,800,477,840,323,046,652,939,148,212,889,412,352,
933,079,036,579,077,757,237,959,783,883,677,168,088,778,781,008,479,682,688,
162,297,453,591,085,957,327,539,162,364,925,424,702,304,096,523,848,904,597,
512,834,652,360,004,998,418,706,612,382,463,089,334,420,313,165,295,153,650,
944,371,982,756,034,115,456,451,986,649,868,386,617,355,908,355,098,446,454,
207,014,369,296,441,680,783,759,466,471,159,697,821,226,404,851,227,424,026,
301,082,696,090,296,653,010,548,805,942,954,900,048,701,535,010,913,648,871,
688,755,568,813,765,522,899,312,544,608,520,457,895,402,995,619,913,016,874,
970,585,771,411,208,780,588,931,906,893,521,813,817,009,175,399,850,096,375,
245,023,025,655,240,114,051,251,601,233,331,882,927,102,609,316,165,349,267,
412,126,589,798,932,092,095,138,376,552,242,255,548,471,425,889,308,853,658,
961,691,762,981,153,686,583,398,575,198,900,429,114,925,981,672,858,799,697,
595,857,217,886,177,254,955,995,607,100,411,738,059,869,891,574,469,591,309,
367,515,304,921,600,810,512,106,145,107,418,792,015,106,189,658,562,939,746,
294,284,749,193,961,671,794,212,650,227,426,071,917,336,843,170,265,181,669,
712,540,877,588,401,051,428,892,988,926,363,124,099,307,724,189,072,021,796,
595,819,495,259,389,148,573,455,613,278,351,178,142,709,408,847,847,244,030,
169,677,027,999,442,736,523,311,555,804,412,888,298,813,819,085,192,941,799,
949,426,620,739,350,043,202,659,889,443,325,318,386,135,090,785,023,929,341,
824,719,894,760,758,405,254,410,799,430,122,905,925,869,284,042,080,490,935,
787,076,621,456,534,988,562,188,624,994,859,690,890,176,814,887,886,427,809,
797,024,196,543,607,857,480,389,251,619,465,630,076,693,297,482,194,289,879,
862,752,027,953,126,181,254,523,595,653,701,975,194,465,193,805,451,409,258,
589,848,797,154,463,633,242,690,543,635,878,855,114,079,409,094,272,307,702,
812,363,256,040,841,381,827,641,510,673,240,478,225,113,317,052,362,891,045,
304,987,906,677,677,100,924,741,802,529,575,065,206,642,135,234,131,157,336,
860,612,723,620,315,908,112,134,109,468,597,626,361,039,048,473,194,976,142,
587,155,851,544,237,989,999,648,552,017,249,310,504,780,075,682,433,117,984,
988,653,567,509,838,485,427,110,370,858,486,921,735,051,105,643,968,068,016,
865,902,179,289,193,911,283,576,743,004,664,595,833,814,930,324,168,479,171,
254,636,490,189,674,059,911,099,990,730,007,513,168,340,220,663,994,366,499,
659,384,381,382,351,381,320,896,653,440,272,576,044,921,923,154,983,729,424,
048,315,548,816,978,460,254,669,423,731,146,446,201,292,035,351,592,935,655,
340,226,720,128,014,835,136,547,112,662,405,182,436,819,491,251,952,447,817,
707,491,790,042,231,948,783,733,426,556,064,647,756,103,820,997,740,259,722,
581,076,856,211,348,325,672,413,053,222,527,495,463,585,433,517,284,711,641,
281,065,824,565,233,309,602,707,046,752,746,800,321,171,473,860,035,986,271,
025,283,364,668,241,428,607,285,583,951,189,384,716,367,476,831,822,146,517,
534,267,059,418,243,610,959,844,922,855,551,685,209,485,023,288,655,341,329,
355,313,475,742,395,320,281,227,663,466,617,775,581,141,513,633,946,595,897,
629,982,933,225,809,279,081,819,094,263,601,510,724,538,156,385,035,828,413,
120,499,138,509,827,355,249,841,060,096,402,781,008,182,523,938,051,871,183,
700,749,687,165,922,397,690,864,473,086,359,480,560,950,187,468,950,371,568,
037,413,703,309,836,794,394,397,346,144,047,838,579,880,651,362,944,769,276,
087,350,479,799,780,116,002,314,169,458,683,511,919,806,832,518,771,118,526,
656,449,439,394,688,002,694,727,029,160,438,595,704,357,158,390,030,943,381,
717,828,692,887,741,998,311,944,748,999,622,928,149,288,206,031,096,565,505,
270,496,929,474,775,157,599,942,056,599,253,944,934,764,707,701,662,955,034,
715,436,961,234,925,917,595,049,548,444,902,427,205,621,412,036,087,754,082,
552,074,543,006,591,520,744,198,757,659,028,422,891,435,790,838,406,856,575,
971,174,339,807,091,597,017,978,306,769,701,193,467,017,061,703,298,054,476,
170,713,085,128,431,737,427,382,309,747,030,105,920,053,172,467,089,771,089,
642,386,119,296,260,032,770,906,538,465,399,993,162,279,159,524,802,992,325,
603,773,541,969,819,275,642,260,174,634,865,901,831,273,446,076,231,736,660,
328,131,540,568,059,719,019,057,770,492,820,028,681,448,921,642,530,326,984,
420,571,369,803,566,743,770,589,413,160,218,639,231,017,138,360,808,339,312,
804,790,307,205,955,126,714,607,728,969,798,986,799,624,476,345,525,893,624,
451,563,318,397,544,670,753,939,725,659,331,385,268,894,266,186,902,013,790,
344,129,598,379,192,142,838,319,597,283,081,030,463,078,387,173,133,392,980,
076,975,685,153,236,071,891,615,618,325,127,780,316,071,432,652,122,212,702,
092,615,516,275,772,033,125,130,606,613,917,673,489,016,471,100,169,281,989,
870,571,622,444,912,211,432,816,043,987,664,331,775,788,415,872,778,612,268,
898,150,899,454,559,888,127,286,552,887,905,554,876,228,131,120,509,627,486,
458,648,199,582,696,132,937,866,858,013,360,035,454,639,541,796,961,310,614,
675,029,697,977,236,199,367,433,089,603,489,464,266,143,181,536,638,289,544,
012,870,014,235,832,739,703,382,722,252,839,433,937,847,073,140,165,928,655,
006,020,792,485,218,553,630,467,437,913,106,413,587,204,522,393,522,836,132,
142,219,340,277,218,382,505,505,702,275,862,642,680,181,455,367,336,627,993,
210,972,682,503,912,206,637,979,742,754,208,640,320,053,535,369,040,842,756,
296,067,237,235,766,093,450,289,113,838,065,807,714,943,283,258,663,910,024,
350,545,218,808,427,502,151,859,475,627,611,540,107,530,628,496,632,502,869,
164,090,527,792,695,465,890,897,443,965,140,254,573,983,595,015,850,251,897,
707,440,613,373,658,826,812,600,319,922,078,043,357,276,134,687,412,481,023,
781,112,235,620,920,945,576,769,108,958,704,835,872,441,905,572,338,926,876,
177,070,014,821,608,765,187,641,875,277,588,406,051,121,823,329,889,485,629,
630,218,376,399,845,546,531,506,484,420,401,616,471,189,384,234,245,300,305,
725,661,311,053,362,269,918,053,556,761,037,353,602,971,042,508,682,041,403,
026,720,730,593,122,455,757,505,205,636,211,964,900,403,519,387,235,528,448,
597,787,401,236,313,933,984,008,753,670,100,915,616,013,616,236,448,753,222,
493,432,377,053,910,468,682,313,870,707,541,790,511,516,868,703,338,388,521,
238,821,253,256,651,537,746,398,024,506,991,918,094,551,108,935,377,733,845,
069,782,382,291,577,906,801,570,849,964,158,130,170,921,273,388,114,835,722,
967,937,434,855,571,473,125,767,436,794,487,203,692,536,142,697,897,622,610,
934,555,161,663,152,446,462,455,528,699,640,571,445,369,535,163,513,273,595,
712,152,665,416,269,659,524,357,506,366,312,548,841,463,154,642,916,277,410,
267,529,906,285,505,078,684,659,132,649,771,102,725,292,517,983,815,101,679,
615,852,026,689,987,232,837,522,578,195,668,566,317,142,178,434,571,689,878,
481,088,151,466,358,687,522,165,759,907,424,392,942,673,705,342,108,681,796,
791,352,285,214,745,128,621,755,751,164,999,774,474,707,711,065,623,042,404,
939,566,903,401,050,397,109,565,388,575,818,905,249,790,388,569,990,566,601,
168,104,953,534,562,459,134,716,986,533,802,757,730,479,525,927,880,839,424,
431,359,981,290,503,098,469,211,526,530,430,193,439,670,202,271,455,897,456,
776,252,117,086,676,597,267,057,757,717,651,657,330,424,864,087,050,546,598,
770,435,708,305,172,191,081,410,327,865,645,782,960,264,344,515,152,237,647,
571,230,141,701,601,614,616,669,552,786,907,533,938,502,806,909,602,001,399,
857,459,637,035,442,482,551,995,884,160,240,225,928,818,667,184,152,089,857,
434,543,899,375,937,031,326,831,626,922,064,406,897,727,724,308,383,424,863,
179,545,384,420,869,800,266,511,627,799,437,508,779,789,499,475,409,997,612,
917,445,762,542,558,188,725,320,662,710,543,942,617,356,282,957,910,084,879,
649,472,041,515,429,594,749,641,725,398,263,394,565,147,606,640,746,365,561,
695,285,448,766,971,485,571,339,391,586,723,547,694,019,719,106,103,966,644,
345,608,638,313,614,724,095,529,334,524,403,225,947,994,462,955,071,803,533,
700,685,190,074,081,115,537,473,819,385,098,189,286,089,561,286,064,517,190,
864,061,466,182,469,681,337,762,454,670,444,488,936,587,174,836,696,692,661,
706,523,500,078,685,012,658,316,348,537,004,682,522,543,352,260,406,742,949,
516,507,446,516,637,198,982,342,767,426,471,737,622,384,333,845,942,175,615,
212,846,223,884,331,677,596,398,673,380,115,172,794,091,379,512,099,859,511,
793,598,127,664,094,433,345,083,266,544,458,061,413,746,495,698,542,343,930,
770,271,152,182,099,083,637,647,753,920,203,710,118,626,446,695,426,252,525,
342,098,732,578,227,360,752,267,767,614,185,241,028,030,713,980,544,183,891,
324,019,932,276,802,622,045,218,346,809,878,422,054,021,272,231,639,449,042,
031,293,885,634,788,050,853,282,473,917,156,062,171,366,806,246,809,367,785,
568,305,748,765,810,906,039,776,035,153,231,952,604,505,867,672,352,194,964,
077,170,943,443,290,220,297,364,860,243,348,732,205,873,150,746,070,137,107,
189,790,539,975,408,751,445,698,120,202,393,737,139,968,102,590,842,663,829,
787,377,644,161,389,848,073,579,308,793,297,437,361,230,031,077,865,707,497,
015,834,897,600,986,826,474,609,195,100,195,150,394,038,656,044,303,046,107,
809,661,352,931,556,967,408,948,400,742,209,133,797,894,898,743,542,847,165,
672,786,250,488,711,660,244,958,915,787,274,086,092,279,462,706,592,882,866,
633,204,928,836,614,751,734,788,977,218,006,607,841,324,668,290,647,480,526,
561,453,601,450,730,776,505,099,343,413,572,678,930,477,465,077,001,197,953,
564,763,129,485,399,142,878,738,001,577,802,841,479,356,831,337,557,732,937,
938,920,062,383,972,417,693,060,086,156,038,481,650,508,155,893,744,512,374,
351,800,967,292,435,588,177,240,152,704,781,322,818,984,231,359,700,779,151,
877,625,523,179,451,061,645,955,387,746,105,919,433,367,199,752,483,031,041,
470,266,970,716,683,861,938,962,913,051,122,067,728,786,535,484,824,571,828,
370,650,730,380,325,789,427,630,764,312,729,391,861,192,282,197,173,997,216,
610,972,452,106,236,767,452,273,225,142,874,893,974,496,028,223,590,810,957,
399,768,191,460,582,468,520,894,263,483,460,351,638,908,116,999,768,468,748,
812,743,295,984,459,620,780,975,863,041,335,106,572,070,067,012,744,782,677,
496,012,653,073,385,643,927,103,126,521,476,908,895,244,345,071,317,186,524,
538,134,160,584,889,155,351,533,540,183,387,679,017,608,097,890,213,386,901,
928,495,237,215,105,659,964,292,814,320,208,030,107,672,484,513,138,088,468,
518,018,129,319,710,758,618,923,512,765,625,580,210,439,597,538,443,645,451,
919,888,470,454,276,183,467,850,420,706,194,928,782,413,161,022,174,569,000,
897,814,480,465,084,128,563,567,634,033,523,144,688,842,659,053,659,826,755,
720,024,372,542,868,510,405,739,191,303,161,976,265,420,344,238,286,639,892,
450,848,311,557,518,052,057,383,597,996,081,663,037,224,494,675,255,972,377,
367,560,480,886,444,344,930,029,297,467,502,606,338,228,552,807,269,212,290,
295,858,218,598,881,974,408,238,094,318,770,518,815,746,904,003,274,704,436,
089,019,416,932,686,404,403,869,078,831,868,550,548,353,897,880,681,177,996,
343,122,628,537,528,426,912,157,080,813,241,589,919,702,379,906,495,828,935,
585,041,196,686,963,261,798,855,045,597,496,933,465,033,338,192,841,186,401,
664,156,276,610,214,841,645,300,711,293,054,478,729,501,279,919,309,441,235,
277,180,684,870,274,206,609,030,041,461,325,424,120,679,863,605,234,607,303,
846,885,559,248,266,895,128,920,803,614,126,813,460,378,732,051,888,493,285,
626,709,413,511,399,408,338,198,354,468,944,325,286,801,769,595,951,638,477,
854,105,696,805,473,882,448,235,784,117,006,559,252,639,318,102,370,565,876,
080,545,304,522,650,264,476,516,292,160,196,670,103,208,221,038,047,451,212,
603,989,316,417,141,749,958,280,141,979,956,209,596,688,805,932,845,692,235,
309,723,808,988,640,768,725,380,425,971,782,716,726,123,766,114,923,675,390,
605,610,142,316,207,753,530,391,750,349,450,025,519,569,333,607,862,747,645,
113,313,177,958,046,892,554,917,748,918,239,306,917,302,955,948,181,106,316,
550,143,277,356,150,012,445,245,697,586,366,713,222,350,525,401,531,158,903,
402,126,993,485,458,514,447,250,181,418,478,401,359,756,682,374,265,014,991,
413,869,488,281,733,658,544,598,264,461,771,672,598,922,867,690,634,805,080,
486,618,906,168,284,501,294,784,916,660,072,862,948,280,935,366,249,830,506,
590,891,300,022,163,565,374,924,206,812,485,597,962,960,358,492,924,103,548,
181,619,176,596,492,436,763,396,419,440,014,071,666,822,382,235,741,729,735,
599,753,291,420,513,069,617,511,083,785,284,578,134,869,195,111,699,900,136,
835,592,055,586,329,454,275,538,467,950,474,813,168,039,661,363,746,171,582,
661,966,575,059,905,517,562,944,067,910,269,138,726,933,235,182,051,329,985,
322,587,098,643,875,225,238,154,169,129,927,267,266,326,192,686,415,767,993,
285,215,534,666,205,140,461,359,577,755,064,867,793,635,372,705,443,046,749,
302,115,997,473,485,747,361,174,857,020,202,184,016,966,561,868,660,676,703,
706,128,117,507,730,062,892,580,057,928,170,364,700,251,969,261,724,874,668,
618,242,538,315,671,556,532,080,156,823,755,923,796,534,491,967,504,012,446,
250,223,189,406,886,981,819,013,965,963,749,016,890,842,524,173,438,225,920,
426,052,689,781,189,790,888,806,016,522,344,345,671,863,653,983,205,132,906,
418,258,517,640,530,619,239,577,285,550,270,798,890,456,465,161,812,115,171,
837,287,496,872,320,613,284,389,565,413,982,417,265,956,700,870,267,820,662,
817,898,697,389,469,728,218,925,860,619,475,924,120,703,812,437,966,688,308,
449,767,002,878,915,217,682,644,118,533,262,365,185,072,337,869,725,189,396,
564,567,247,671,212,969,213,928,250,993,014,197,398,593,539,854,982,219,795,
094,574,693,691,793,018,162,999,369,182,144,806,265,125,357,909,407,842,604,
598,904,724,606,556,632,179,529,437,407,722,578,998,529,493,651,872,804,006,
568,170,960,940,004,775,113,808,288,524,046,098,081,912,071,911,143,282,752,
195,228,621,628,849,604,283,267,177,393,584,943,863,989,042,458,693,832,553,
601,268,629,295,637,950,640,387,168,890,870,731,735,348,844,818,287,452,302,
307,539,655,969,828,865,465,637,237,403,863,549,742,092,698,281,374,137,025,
311,112,228,522,730,697,864,105,596,648,194,242,873,317,126,225,847,691,081,
291,013,155,065,002,337,747,090,307,991,614,927,287,642,592,122,315,860,126,
628,838,310,132,404,728,099,453,355,502,123,680,222,225,593,569,134,445,703,
748,007,899,519,197,587,414,041,119,120,967,238,425,329,062,569,429,342,317,
225,673,865,766,179,489,693,284,069,773,878,662,753,778,193,972,629,379,487,
414,832,073,040,459,949,437,991,400,252,576,034,597,244,286,799,373,241,383,
708,247,078,012,556,301,791,735,959,516,970,772,212,690,999,615,696,806,114,
450,055,034,263,951,716,446,085,544,769,065,328,072,653,944,651,027,873,078,
457,759,940,577,369,605,573,953,964,252,566,606,086,218,434,225,676,271,391,
960,945,523,509,195,122,249,105,955,160,074,618,400,209,305,969,053,390,470,
332,082,765,682,183,247,540,054,216,688,859,507,487,750,017,180,400,702,440,
555,460,541,301,914,518,480,086,726,556,335,512,666,887,940,222,871,610,533,
172,576,490,729,323,514,488,951,222,327,876,735,671,419,504,429,936,726,974,
745,313,894,628,690,918,174,628,723,631,055,716,642,581,160,524,914,901,802,
757,736,984,955,054,306,208,620,790,266,366,878,150,390,464,610,430,293,088,
813,118,549,174,895,147,904,818,543,694,773,156,385,069,879,905,023,233,188,
605,452,936,317,091,405,503,381,897,310,477,903,873,304,664,323,137,099,622,
928,395,812,506,950,914,307,082,557,402,782,602,112,017,962,997,673,452,518,
067,114,293,494,919,047,423,544,277,684,110,386,227,061,940,335,595,663,857,
071,613,211,153,738,289,455,662,514,836,849,489,368,491,715,877,263,506,549,
145,793,018,137,039,552,410,312,418,621,079,682,262,439,961,854,080,038,656,
003,235,475,325,892,803,790,782,685,343,894,419,788,843,127,377,689,590,860,
780,848,249,479,103,056,780,654,118,118,194,274,602,776,944,333,816,394,945,
415,351,837,906,767,595,499,387,582,200,628,490,130,833,214,769,856,090,505,
843,389,216,728,395,645,310,986,519,833,896,408,102,425,840,974,467,848,964,
546,672,596,409,394,593,805,789,938,673,568,803,353,076,978,091,388,141,049,
942,207,250,222,363,356,556,884,074,553,303,703,260,722,284,083,621,589,963,
443,210,717,021,996,006,557,082,613,384,264,285,630,914,974,292,104,056,991,
885,524,914,824,283,730,410,461,666,572,498,085,858,875,839,282,422,225,455,
422,860,907,441,813,246,025,882,830,132,317,002,551,607,836,404,768,239,649,
834,337,519,549,012,164,315,366,521,459,013,322,454,096,776,062,662,499,303,
696,546,407,817,258,843,534,164,035,769,031,978,035,212,915,955,540,727,304,
175,270,078,035,654,250,566,762,646,707,192,598,678,627,846,480,490,751,430,
622,544,897,431,604,361,238,963,302,992,596,136,908,862,341,907,432,749,896,
424,944,820,131,883,727,487,585,228,496,477,112,563,638,197,610,305,996,593,
229,524,538,999,721,606,491,864,675,790,886,040,050,146,631,972,535,651,619,
816,365,920,612,576,123,555,051,298,634,274,283,266,214,513,962,713,201,910,
616,220,352,833,033,201,480,184,858,218,714,515,070,982,581,518,395,974,091,
205,562,424,882,045,168,020,555,362,624,376,904,725,625,032,820,975,197,872,
727,972,757,664,378,213,736,576,565,676,226,942,966,130,400,822,793,303,137,
482,652,294,017,755,224,563,004,888,873,650,517,840,551,357,571,751,757,016,
537,096,570,903,864,098,469,254,726,715,430,428,727,025,329,939,577,849,195,
839,629,009,844,477,876,712,016,846,263,393,200,597,730,691,116,259,694,466,
591,209,927,849,668,262,765,863,055,886,541,847,187,590,231,181,543,393,119,
708,702,058,648,034,852,086,465,876,242,779,542,732,763,905,260,213,335,535,
554,794,717,939,043,299,480,834,440,502,292,587,855,783,798,574,332,357,416,
978,374,121,524,826,024,642,104,815,025,715,439,080,346,376,741,446,574,236,
404,577,025,110,335,332,043,985,102,481,228,650,669,330,575,967,184,191,061,
344,797,663,915,659,105,691,435,985,707,951,030,695,642,495,330,452,821,277,
702,636,935,146,214,498,064,119,389,242,901,151,071,205,522,436,755,442,436,
615,769,067,541,709,736,687,734,710,718,205,180,281,416,712,757,141,389,788,
564,635,229,886,824,297,451,221,059,141,638,438,035,601,138,710,793,728,791,
011,709,505,378,111,252,912,563,036,756,209,725,320,078,743,355,051,992,137,
378,387,641,684,924,263,614,214,574,656,490,124,671,120,715,692,688,007,000,
978,108,006,900,799,699,392,599,324,628,759,288,609,672,785,331,796,492,886,
905,509,648,233,466,230,603,678,511,469,205,062,385,565,348,339,643,224,171,
365,917,486,954,977,250,384,945,411,689,106,858,126,621,376,974,411,045,125,
420,489,025,503,428,135,759,932,354,478,741,972,415,498,567,370,022,049,771,
257,350,533,189,409,488,923,651,279,074,454,245,415,537,025,269,314,757,013,
150,611,374,903,897,336,278,695,267,452,474,581,932,409,045,380,221,766,423,
525,659,200,777,822,478,568,108,919,483,188,997,786,064,214,666,472,959,076,
993,865,670,864,830,251,565,533,120,519,311,976,760,888,872,154,939,434,605,
633,341,272,455,234,583,975,345,622,379,136,670,684,877,452,948,184,655,337,
745,773,234,711,400,132,859,708,904,780,278,483,349,775,536,417,800,007,239,
991,907,959,739,203,583,059,312,054,919,296,280,454,873,400,074,213,968,355,
814,036,820,077,275,641,241,698,944,338,894,210,348,519,000,097,088,870,291,
437,409,609,251,851,819,584,618,512,395,751,607,159,862,948,897,456,548,114,
014,540,610,778,402,015,161,334,852,051,721,052,164,617,923,026,408,687,731,
782,615,080,562,505,950,779,903,298,889,219,875,699,649,687,851,636,876,980,
140,993,795,692,448,598,495,296,613,495,566,450,363,012,438,162,853,959,346,
895,808,059,197,957,838,420,603,388,303,707,240,477,902,048,086,708,624,743,
112,046,854,253,053,825,842,650,965,618,937,598,593,573,446,877,792,608,157,
110,311,522,577,801,879,816,954,355,815,674,227,837,827,970,526,787,714,659,
893,278,877,181,955,429,028,888,434,663,979,643,358,020,987,738,911,819,459,
886,839,524,108,951,859,226,455,473,739,700,642,485,314,122,140,760,883,424,
701,175,431,178,202,316,816,358,606,531,833,771,512,711,019,606,447,005,260,
561,001,682,304,518,477,327,158,767,198,081,397,848,762,713,913,751,675,863,
182,050,493,504,359,986,235,999,296,831,732,425,510,030,680,119,335,757,690,
013,047,108,682,452,926,197,622,657,629,454,473,283,682,233,221,407,385,518,
971,009,112,922,137,603,624,487,903,927,009,526,648,888,545,104,774,092,279,
283,657,441,980,541,217,579,518,107,489,473,330,387,557,488,757,723,859,909,
889,417,674,446,479,720,749,372,630,469,834,789,045,580,856,220,343,912,769,
359,363,324,556,396,468,868,341,496,274,666,730,591,636,656,256,318,414,494,
131,477,276,418,921,908,609,086,963,840,856,144,712,055,025,630,603,863,564,
513,968,873,183,985,672,495,513,481,196,732,127,293,079,818,302,992,256,712,
553,952,316,818,973,974,526,199,710,439,439,773,036,763,103,045,860,973,145,
686,206,021,866,429,680,399,560,385,981,438,458,688,027,380,518,985,193,897,
584,471,198,920,253,199,279,187,281,381,310,615,816,364,913,864,042,347,538,
368,985,321,186,980,231,354,820,948,343,565,097,294,880,646,685,464,670,425,
383,479,681,822,445,971,386,070,670,538,192,920,620,778,803,352,479,766,476,
621,148,557,149,208,057,193,835,007,076,883,208,053,536,226,199,746,155,504,
077,073,648,059,554,125,032,859,651,034,928,522,563,721,448,082,386,355,100,
987,292,976,474,535,075,670,632,016,042,179,567,797,873,815,447,075,149,095,
692,712,859,924,142,781,852,435,096,655,043,874,010,650,819,828,971,295,061,
886,347,927,852,362,679,192,614,825,046,463,626,174,334,333,519,411,186,413,
839,934,538,342,175,743,348,335,245,399,136,125,589,656,831,814,745,107,384,
656,570,964,919,606,814,133,699,620,108,348,458,803,466,148,177,427,338,580,
856,290,442,883,852,183,857,776,898,572,660,535,662,833,011,130,929,876,817,
557,760,608,723,108,405,395,112,051,962,396,826,252,727,193,818,391,295,579,
482,406,154,652,224,696,451,351,148,554,004,430,833,443,480,828,214,509,701,
352,925,374,582,660,598,773,033,575,361,999,293,802,503,497,323,949,286,847,
118,622,093,736,922,956,580,969,504,943,722,126,701,958,271,500,218,124,171,
644,338,670,644,196,149,696,594,885,547,899,637,127,716,857,072,922,648,075,
602,216,811,670,263,277,693,868,367,988,063,276,409,349,517,498,114,005,893,
427,318,752,286,929,226,302,318,185,147,993,036,638,676,000,675,177,853,017,
337,305,309,374,623,117,909,396,904,260,382,361,789,823,547,714,941,797,914,
394,853,727,948,614,557,125,216,594,069,779,182,430,091,118,134,127,803,140,
839,775,948,084,470,221,836,914,998,965,025,967,248,130,320,157,744,670,675,
981,132,611,197,537,040,980,264,770,855,364,373,795,327,342,744,007,149,942,
221,650,375,191,271,387,243,866,062,876,612,911,990,467,569,477,927,000,727,
144,337,077,159,206,137,578,513,224,616,401,677,245,572,367,014,473,439,002,
583,366,375,590,060,721,146,062,797,062,475,762,567,612,863,565,003,307,309,
006,201,464,658,230,531,008,099,611,346,465,633,390,305,658,212,094,412,433,
366,939,503,900,295,438,956,718,670,891,265,466,939,290,570,366,841,753,126,
977,683,651,250,344,119,994,575,480,692,581,001,526,959,202,183,224,702,852,
760,670,675,686,456,609,801,478,423,918,186,513,480,333,326,948,057,383,783,
289,510,086,108,801,054,689,564,613,112,389,790,817,859,464,108,690,244,331,
747,654,658,591,492,171,992,079,732,481,450,754,365,785,843,100,903,966,262,
871,870,106,051,744,589,965,522,975,484,425,140,759,762,979,968,129,845,266,
742,829,258,417,385,536,267,960,516,324,253,969,400,084,465,835,886,444,641,
120,277,873,262,697,351,435,532,404,532,979,328,958,266,604,082,088,050,463,
673,417,562,349,974,527,218,206,689,322,383,731,351,429,666,635,396,802,849,
014,964,336,669,958,657,245,171,845,434,430,234,060,405,054,734,069,440,234,
269,279,751,553,689,672,305,035,570,834,979,469,138,502,627,000,231,546,064,
881,738,358,933,168,075,218,539,861,400,380,178,091,772,199,033,736,120,159,
353,397,359,643,656,182,284,178,504,111,606,111,567,645,446,618,172,152,800,
048,281,773,236,332,184,907,504,696,900,274,974,704,128,314,928,918,109,522,
985,901,945,563,198,344,961,334,679,763,375,853,288,497,397,874,677,590,545,
348,918,988,920,464,791,175,144,495,484,093,133,102,839,000,895,449,061,293,
030,184,526,130,557,148,967,459,628,929,165,118,916,819,798,872,897,925,879,
345,983,103,474,372,836,837,471,204,389,039,367,248,387,975,443,735,748,566,
528,928,470,112,849,036,362,195,165,557,661,085,014,587,226,405,475,716,934,
927,756,438,284,883,536,985,184,367,072,497,701,240,955,163,699,457,300,810,
409,883,607,469,168,565,490,211,434,566,023,887,374,874,784,765,608,724,123,
254,011,352,174,623,016,116,462,805,786,325,898,751,855,382,222,468,894,340,
308,136,660,220,513,523,982,255,726,353,541,251,235,476,843,388,870,084,893,
653,653,921,103,736,793,448,030,112,717,142,884,164,718,579,498,215,284,134,
464,493,667,225,025,028,255,873,331,373,026,682,477,925,814,565,258,291,358,
177,399,750,481,570,703,127,040,323,330,584,529,769,506,935,998,230,481,272,
090,935,599,963,940,701,507,043,171,658,302,118,117,577,518,307,441,186,417,
095,905,817,232,633,430,889,958,822,052,258,410,567,503,675,650,430,066,066,
766,668,459,661,283,427,732,865,301,820,920,611,385,003,725,059,477,641,689,
881,621,827,913,484,925,551,315,944,368,950,674,592,462,368,288,682,422,969,
918,216,089,173,613,913,555,292,182,671,733,298,480,639,197,347,861,239,276,
714,233,703,301,410,572,290,174,130,580,450,132,466,889,977,667,152,415,615,
905,514,102,154,842,440,096,956,905,440,082,397,529,750,124,951,322,170,442,
884,944,068,544,813,410,391,158,104,855,127,443,901,044,234,973,083,833,468,
643,372,806,137,967,936,334,736,188,819,041,241,637,994,115,141,106,636,120,
986,556,594,734,188,981,075,874,019,835,679,806,398,377,139,544,658,012,573,
471,500,135,703,091,700,965,062,873,786,227,182,272,591,189,468,814,273,712,
189,642,957,711,115,119,982,165,239,332,555,120,786,477,994,434,397,407,398,
649,763,526,178,570,168,928,003,204,879,649,660,330,538,081,786,193,965,844,
214,161,344,859,607,768,585,596,261,141,998,293,463,739,356,603,552,496,019,
996,767,221,117,320,079,469,014,256,940,289,537,482,245,949,592,533,394,298,
230,400,148,933,676,864,572,998,632,864,157,252,853,552,976,043,879,211,210,
941,741,774,134,880,436,527,804,552,990,040,257,056,603,617,235,571,588,623,
650,835,271,876,198,515,212,732,171,383,946,110,314,432,790,984,954,790,102,
477,369,925,663,313,202,019,099,812,260,263,879,463,673,238,955,795,577,461,
244,782,053,804,625,418,952,762,449,190,250,775,217,542,265,773,232,442,478,
869,688,787,997,649,179,531,474,235,902,503,675,645,159,217,006,219,368,983,
159,298,869,449,393,021,030,585,450,556,911,062,005,144,331,109,827,380,384,
876,347,499,574,483,211,063,144,149,352,150,234,793,692,167,184,109,544,995,
078,474,658,258,402,402,818,145,644,067,186,820,406,294,062,543,428,989,691,
264,092,037,741,272,394,187,890,177,184,912,427,635,839,331,242,410,887,502,
659,381,303,854,561,205,465,400,945,954,622,898,868,375,083,823,504,202,509,
926,620,349,435,254,274,955,550,906,273,590,141,753,386,637,044,156,706,009,
351,576,531,859,059,624,909,522,702,168,755,398,512,397,170,182,933,088,129,
249,323,242,418,529,175,445,566,189,369,140,924,971,515,662,731,296,701,570,
263,233,667,195,114,871,597,068,267,094,761,088,058,322,778,653,979,148,368,
810,337,417,641,145,658,213,805,893,231,246,181,442,199,503,071,886,881,523,
086,541,433,277,119,814,043,698,837,175,244,930,820,485,347,469,632,300,197,
582,022,573,088,522,907,479,127,972,884,081,800,055,220,178,626,700,786,681,
396,059,386,856,369,683,308,504,413,892,069,527,707,780,416,816,331,309,464,
268,818,699,594,909,859,617,793,134,343,370,392,150,135,981,212,803,198,031,
375,174,383,097,825,678,868,582,884,650,362,003,159,675,156,215,084,124,702,
848,724,864,815,605,632,401,861,897,891,976,057,093,895,341,900,373,629,698,
656,695,055,822,452,397,032,845,877,053,083,782,925,075,473,577,235,054,653,
455,481,617,427,662,430,902,783,312,257,968,303,813,588,551,789,405,958,501,
112,639,884,644,968,744,280,388,229,821,261,495,537,624,576,996,342,228,677,
282,210,121,216,209,921,478,725,464,000,176,563,926,276,749,748,069,360,776,
323,946,457,205,193,661,385,673,719,285,046,818,524,728,215,635,540,293,534,
320,966,433,841,380,495,671,385,207,021,613,873,463,786,654,576,311,218,223,
552,678,122,210,684,145,152,559,048,697,898,596,082,764,456,351,133,885,873,
813,457,167,072,368,243,693,053,442,237,641,051,385,449,911,911,225,457,175,
950,059,071,329,301,202,224,703,979,408,534,894,051,559,420,794,258,214,199,
083,300,888,233,854,718,078,571,873,579,002,620,538,098,567,322,826,783,505,
302,968,054,541,287,380,997,313,335,267,238,197,022,027,146,262,482,198,129,
636,239,896,266,298,950,211,808,728,469,134,036,654,489,817,834,164,037,885,
322,054,743,787,567,096,352,010,999,396,185,444,046,940,392,517,278,346,157,
575,193,643,812,997,882,848,103,786,973,090,078,712,195,293,805,884,908,162,
998,001,663,396,323,934,464,869,804,893,262,880,898,528,341,608,322,020,911,
878,855,307,688,620,187,921,759,752,426,728,022,254,499,087,559,820,480,691,
211,352,193,388,966,834,907,665,175,623,368,675,596,369,853,576,398,538,891,
616,055,799,888,998,988,019,389,660,197,201,583,288,827,047,129,758,398,368,
775,817,294,178,249,873,345,704,536,578,374,692,633,518,781,021,205,714,149,
073,378,169,198,176,231,656,691,692,806,765,474,456,633,864,578,151,176,656,
125,740,385,848,266,516,523,744,082,250,021,281,039,076,352,102,553,157,791,
623,626,556,293,644,614,602,466,148,371,295,208,342,356,586,289,341,458,425,
132,620,575,683,879,073,889,641,559,478,388,683,086,219,380,851,242,971,390,
490,070,636,967,164,380,014,127,922,295,600,988,040,944,233,482,713,459,514,
403,316,438,249,620,880,684,302,300,407,215,872,378,820,304,791,745,100,837,
728,809,005,770,948,097,499,484,960,996,093,654,157,539,519,094,429,715,323,
136,842,491,098,187,798,627,055,506,685,405,149,900,509,307,687,031,236,892,
257,019,635,734,052,506,532,605,674,653,251,694,662,040,799,893,700,762,716,
569,583,814,365,757,542,244,393,786,568,357,648,925,531,128,460,463,797,264,
825,427,244,143,094,363,957,856,979,977,655,048,269,134,986,446,198,603,651,
387,145,351,066,052,391,620,586,323,317,170,986,241,966,609,315,123,393,496,
803,057,803,017,461,865,246,740,746,371,193,750,486,568,905,388,564,747,180,
045,693,650,427,745,451,443,278,793,268,775,489,572,654,959,518,416,875,039,
001,996,274,036,980,303,451,259,187,648,734,579,375,240,917,966,792,538,107,
574,935,212,287,028,050,753,185,642,913,480,853,436,372,415,212,307,388,877,
167,075,701,446,626,428,857,566,541,298,875,963,975,790,624,439,066,839,493,
281,414,655,111,386,143,344,977,472,761,014,758,819,004,562,141,105,913,200,
779,449,486,976,280,318,542,026,434,242,374,254,301,428,191,273,485,819,893,
275,973,045,974,693,941,065,358,302,098,022,601,058,027,029,547,523,085,821,
687,332,866,421,561,549,266,047,963,326,622,466,979,912,153,251,213,889,033,
938,946,641,515,302,041,926,912,676,138,309,316,605,878,608,462,766,573,623,
929,351,233,784,082,602,597,720,500,407,604,154,129,277,690,228,365,426,869,
399,948,031,944,023,015,254,331,631,327,772,281,912,301,438,084,776,810,730,
786,946,884,407,600,948,952,075,705,164,212,468,422,230,214,285,271,964,171,
573,516,520,154,535,489,859,491,723,807,636,205,535,978,918,925,540,384,555,
008,841,579,654,572,367,229,441,360,010,203,161,625,359,881,816,028,003,731,
401,137,867,222,160,774,769,317,934,980,033,951,069,462,270,542,948,857,446,
704,443,264,185,834,099,740,747,890,585,625,814,664,475,602,862,979,297,294,
383,932,542,781,311,445,889,467,413,739,998,917,527,645,237,145,051,837,789,
857,719,649,290,832,575,860,414,430,559,507,892,609,928,263,926,032,615,962,
926,849,870,098,710,364,867,788,999,934,495,167,094,755,745,496,243,079,789,
516,378,672,473,639,076,009,121,732,036,106,253,884,598,541,646,736,393,237,
645,487,441,742,450,532,966,292,953,019,664,683,972,191,851,172,343,230,358,
945,296,533,916,522,629,148,894,634,776,848,924,733,687,270,433,324,792,225,
756,058,616,141,372,799,275,620,951,690,416,796,128,736,866,803,366,493,386,
759,151,644,260,304,881,177,159,186,905,990,690,099,365,669,580,397,783,768,
644,080,485,524,808,768,979,455,385,367,269,979,182,489,532,218,331,442,634,
428,274,094,311,892,221,748,372,203,246,616,328,241,223,747,844,130,776,150,
010,133,436,933,310,294,708,159,721,934,680,244,737,983,548,154,394,238,920,
747,157,382,965,055,191,217,249,325,323,828,107,462,936,022,552,852,826,031,
148,643,368,235,218,864,913,561,521,402,445,835,011,266,671,623,544,720,419,
153,924,367,413,496,319,165,485,906,789,307,637,472,644,947,053,593,663,603,
489,387,877,512,848,024,846,055,770,166,655,685,636,323,586,098,732,400,880,
563,425,535,572,008,643,560,937,294,252,930,926,733,647,568,862,843,887,248,
068,593,798,002,993,791,867,882,158,063,719,151,231,513,762,779,356,894,197,
116,844,366,724,478,672,324,921,592,177,120,722,151,955,301,460,774,231,807,
797,725,027,000,482,002,432,944,069,230,901,682,804,082,309,510,900,390,180,
938,785,848,139,590,195,022,483,486,321,312,104,892,452,933,445,906,113,777,
945,537,426,777,391,417,493,207,432,073,328,526,010,132,840,311,411,692,856,
745,154,395,614,157,040,425,267,226,736,032,144,457,690,043,463,586,108,524,
217,488,562,977,819,218,146,186,523,417,666,729,747,082,487,231,927,302,182,
256,101,602,052,432,544,136,908,204,797,817,042,235,733,194,361,199,557,631,
390,251,367,970,148,392,063,795,578,987,065,836,923,007,738,383,474,162,317,
009,908,776,549,630,076,499,942,689,134,657,873,089,357,874,710,836,616,869,
106,427,196,997,007,443,098,293,669,364,630,174,244,791,951,518,373,241,437,
357,996,216,166,422,308,236,121,239,479,529,789,495,539,217,872,471,883,747,
481,817,119,206,230,524,793,516,495,046,774,838,145,144,671,411,328,530,645,
874,691,584,666,986,599,108,570,913,248,801,891,425,736,919,874,500,542,461,
038,051,723,110,576,656,527,566,789,961,352,052,644,825,478,359,974,048,115,
781,345,482,697,264,758,184,805,733,878,535,063,854,666,034,473,393,929,267,
409,678,042,568,822,953,525,664,311,921,262,463,585,640,834,550,969,559,365,
552,452,383,875,872,716,811,597,885,303,332,785,669,060,479,857,865,514,176,
031,448,655,394,002,069,860,624,598,167,489,716,815,535,304,226,736,277,161,
767,763,011,081,796,908,251,424,952,110,686,718,797,941,001,827,884,003,067,
300,501,065,110,462,357,831,726,637,376,348,899,969,124,141,558,423,776,513,
717,971,410,699,811,074,608,075,816,573,412,707,229,984,632,183,722,037,979,
975,038,152,225,828,224,957,643,042,116,718,203,995,054,162,745,249,319,264,
438,875,849,684,206,166,870,077,639,176,514,349,250,050,267,555,685,933,034,
078,289,541,530,828,948,418,130,480,868,836,098,627,311,340,400,638,962,503,
723,913,717,915,462,137,668,876,973,376,439,439,250,336,679,706,562,209,521,
026,193,169,507,873,665,901,368,123,509,608,772,962,849,425,557,263,780,405,
573,600,824,470,777,697,204,026,412,992,614,850,305,704,176,642,493,806,059,
106,356,827,336,782,758,346,323,615,705,342,546,623,042,790,799,818,476,890,
885,449,185,777,864,648,985,561,908,688,154,373,881,464,387,189,059,086,988,
726,604,142,648,980,063,449,185,079,642,516,322,824,343,448,352,241,442,447,
190,235,179,862,794,157,240,732,411,965,833,036,653,877,269,818,762,580,538,
898,279,539,634,864,498,218,817,570,664,220,853,005,524,157,508,216,234,916,
595,571,897,839,485,025,398,504,361,582,826,335,976,487,570,904,402,785,266,
568,067,351,719,969,360,477,463,415,464,535,766,683,490,811,185,838,050,807,
022,681,321,524,570,062,940,783,904,790,422,338,515,180,350,583,057,396,950,
317,863,597,592,889,268,758,855,554,322,088,964,174,470,300,677,708,190,973,
485,979,996,884,385,966,807,897,164,949,763,391,976,723,329,078,254,586,586,
200,005,571,626,740,992,038,410,518,384,436,684,375,096,599,408,532,335,566,
631,274,405,528,897,748,938,847,904,287,048,527,349,446,210,930,224,175,000,
141,865,445,557,517,475,499,203,654,253,574,930,284,704,674,251,863,904,921,
048,323,753,737,653,946,251,169,509,503,983,029,280,890,303,109,778,578,047,
326,415,354,620,727,199,050,086,119,402,573,694,100,065,469,413,974,009,152,
861,093,309,391,767,867,896,532,426,289,366,510,893,407,341,248,153,972,988,
335,366,131,492,889,594,833,786,353,250,085,550,762,423,258,964,077,898,060,
963,161,495,401,332,835,039,906,283,138,526,133,628,851,015,122,665,358,730,
586,160,739,623,643,233,204,003,747,563,690,766,020,471,567,687,356,023,168,
412,638,066,219,197,316,243,585,625,336,717,937,113,134,381,448,937,372,632,
747,276,335,609,058,935,015,193,141,657,022,171,876,814,922,747,596,218,213,
205,725,992,949,938,368,424,176,347,317,201,566,945,631,676,735,368,491,030,
370,036,290,609,124,155,853,954,122,564,652,334,830,426,139,608,827,687,629,
888,573,912,406,169,512,286,212,282,117,848,551,165,648,071,298,548,161,075,
672,840,277,143,798,630,037,177,549,859,048,102,640,029,931,664,955,750,931,
235,595,344,074,738,118,035,429,519,698,090,374,132,659,877,498,459,722,079,
358,840,193,670,389,910,874,111,683,550,866,418,696,017,494,846,890,989,320,
325,090,030,899,097,061,527,327,539,467,138,680,243,762,572,365,180,861,800,
074,096,798,101,982,513,782,264,575,055,984,759,438,243,080,182,636,629,150,
248,203,983,083,302,057,739,964,495,107,213,608,091,975,218,325,907,545,062,
514,569,297,107,526,733,346,030,899,684,169,604,186,378,457,609,408,262,318,
381,777,415,611,905,503,423,925,868,158,680,627,130,248,315,048,476,307,795,
359,083,365,537,419,990,630,421,798,845,972,203,438,245,065,305,122,877,539,
703,023,779,295,087,550,405,621,519,263,881,605,349,017,693,462,105,850,301,
874,547,063,121,080,781,817,403,178,070,265,623,709,731,385,846,958,335,653,
880,640,754,764,464,821,487,412,078,272,648,910,433,249,766,612,339,208,606,
428,051,687,444,577,374,260,703,727,246,330,469,047,797,702,628,212,128,281,
703,342,942,012,832,150,380,665,013,685,666,778,719,684,191,809,693,719,061,
076,434,357,001,672,969,865,580,526,461,617,211,341,126,476,257,573,029,479,
525,616,673,989,167,026,371,873,138,495,780,482,304,362,433,912,057,169,667,
567,773,921,227,164,122,423,854,323,270,746,976,973,177,517,861,437,583,892,
043,501,357,372,698,660,511,874,675,479,441,588,374,752,371,840,189,398,783,
805,355,283,812,722,962,217,737,959,586,452,081,061,833,745,303,969,062,749,
466,098,337,380,987,845,879,934,029,422,422,883,584,736,549,916,538,020,047,
864,366,589,495,191,136,136,285,816,132,388,974,513,676,073,202,454,214,768,
516,983,324,336,373,007,545,486,783,416,638,598,545,133,003,719,416,371,870,
828,373,985,195,519,349,190,578,600,592,415,665,773,878,131,883,748,102,095,
087,653,337,808,640,046,702,498,771,780,120,157,921,633,472,137,977,546,350,
542,346,737,794,841,830,200,117,927,018,391,837,208,514,498,072,268,213,017,
440,023,303,338,906,061,850,622,897,825,600,358,247,361,179,363,351,891,856,
201,946,846,164,915,899,225,924,682,757,373,306,671,398,640,817,890,186,994,
574,840,412,566,488,699,252,791,216,149,439,591,048,473,013,341,057,304,119,
012,268,964,869,992,559,474,671,036,521,989,680,847,316,043,405,123,122,856,
426,783,964,407,182,911,288,639,364,905,282,903,027,137,220,236,958,881,707,
113,989,910,376,899,686,920,039,338,767,240,305,858,686,085,967,851,620,362,
811,443,138,995,089,692,054,562,754,364,900,192,745,430,686,782,999,407,159,
707,109,081,217,271,782,434,305,631,929,873,043,820,843,988,879,643,125,117,
123,535,816,553,716,593,881,474,844,954,135,755,344,286,122,928,480,629,762,
008,397,644,433,179,939,164,793,069,175,373,772,173,988,614,584,806,077,391,
277,657,751,681,900,163,973,089,154,837,428,939,407,150,680,878,059,903,075,
856,230,171,378,309,076,530,925,096,806,262,380,634,114,510,416,093,893,991,
023,608,175,482,965,387,277,232,757,149,099,786,332,571,296,449,368,657,691,
817,792,723,472,481,794,164,657,576,899,709,521,047,054,812,408,849,327,000,
731,228,355,115,518,095,446,675,783,632,156,118,937,469,148,616,458,112,686,
998,113,475,601,972,304,110,741,196,741,457,139,973,340,809,023,880,211,435,
499,143,405,037,509,931,949,823,935,978,857,174,205,389,776,229,768,473,317,
739,079,893,423,963,822,204,470,570,116,713,853,126,062,648,057,154,948,622,
332,896,197,117,594,010,019,882,567,088,891,269,193,181,032,704,336,813,781,
940,736,528,513,591,666,092,002,494,247,155,204,927,589,570,993,356,707,810,
622,888,504,471,428,723,941,481,414,811,404,864,975,799,899,006,283,156,941,
201,424,151,554,791,251,700,773,913,846,825,670,778,062,005,476,152,183,829,
774,016,269,317,254,688,336,071,181,641,511,122,885,098,274,434,303,056,866,
614,233,144,842,168,863,589,940,201,217,748,805,608,441,843,902,522,458,223,
890,124,344,950,934,173,001,701,904,629,706,091,234,528,653,076,914,968,715,
411,906,145,446,686,717,167,059,817,100,493,968,805,228,814,277,058,078,372,
672,403,941,037,735,025,039,655,226,962,982,720,349,774,320,139,945,561,596,
329,029,313,458,493,124,273,957,472,747,196,815,874,184,526,255,998,223,255,
808,943,322,992,023,805,319,302,200,247,331,035,906,099,012,881,905,667,401,
418,863,976,068,057,380,857,524,394,996,945,056,697,968,429,279,118,565,120,
671,732,973,327,059,225,704,620,241,056,779,092,176,252,260,574,237,632,875,
524,265,306,673,335,801,319,303,878,782,704,513,361,270,645,779,941,896,047,
814,068,774,971,993,814,013,974,680,374,133,954,443,139,692,960,562,538,852,
303,662,203,776,315,179,048,972,894,113,370,442,710,282,611,093,437,738,127,
393,824,309,730,381,817,416,508,818,200,615,008,294,655,525,547,810,975,942,
290,074,351,837,403,765,692,551,412,509,752,539,808,778,002,020,135,403,460,
774,503,662,617,327,033,453,879,707,610,251,129,530,001,835,890,460,045,861,
048,169,724,728,823,855,347,985,662,553,402,732,109,232,474,916,739,815,815,
580,949,555,443,730,267,802,419,129,241,140,865,192,924,984,427,386,015,746,
698,168,259,325,475,212,833,538,834,154,799,742,485,031,661,612,749,933,882,
167,834,777,833,190,763,229,162,992,547,216,606,394,805,432,406,689,297,700,
275,661,243,512,889,323,432,739,357,108,146,091,209,577,241,891,406,860,105,
750,507,128,064,618,715,308,451,976,860,105,603,486,975,594,432,431,230,136,
732,488,147,896,028,517,066,072,828,554,865,337,640,765,126,080,667,086,266,
889,892,084,802,005,202,419,657,220,161,300,087,858,211,592,013,886,599,621,
860,702,695,266,223,384,306,933,250,604,280,971,250,167,855,500,618,792,105,
712,009,556,870,981,383,330,977,126,159,816,542,788,266,132,181,716,459,589,
040,886,372,061,114,206,983,527,547,624,288,605,925,497,702,261,834,378,361,
207,089,852,714,352,079,359,915,560,231,963,197,325,727,428,804,787,913,787,
805,141,710,172,027,741,191,863,233,135,922,969,502,861,235,853,715,068,462,
971,671,330,093,660,954,748,905,248,034,158,702,931,622,506,706,777,246,148,
322,765,665,699,656,136,304,125,616,846,773,885,544,019,900,651,181,982,076,
425,564,376,985,418,600,289,577,276,023,663,739,577,296,042,438,990,094,121,
022,060,812,815,610,322,027,369,341,796,922,012,046,048,678,289,946,637,184,
824,479,346,934,227,802,610,638,217,355,675,064,274,194,399,240,365,458,536,
543,130,446,776,311,252,058,160,690,449,614,499,766,997,550,706,600,439,757,
202,053,296,665,178,386,277,208,217,212,009,866,717,755,274,154,155,170,231,
721,932,328,301,155,738,066,439,577,685,110,028,871,393,074,328,172,861,128,
001,505,222,276,341,467,709,344,155,765,351,412,994,989,924,189,366,577,041,
942,939,750,801,425,838,247,627,775,010,236,427,471,125,316,969,074,353,501,
326,350,535,498,656,897,432,107,838,025,582,612,088,014,993,037,835,201,031,
213,438,822,781,213,442,439,208,592,830,984,454,759,061,047,600,181,414,334,
040,847,859,029,857,093,734,276,381,790,935,582,697,459,964,848,567,303,818,
168,732,255,524,725,018,767,225,660,389,185,611,497,381,780,973,529,582,689,
624,900,653,618,801,514,790,856,417,678,100,588,315,237,225,127,064,660,993,
530,589,445,430,587,544,371,480,877,639,769,930,966,012,983,348,637,843,182,
772,648,442,759,976,981,215,701,786,768,479,669,002,809,277,317,605,753,294,
341,349,483,888,020,342,007,382,500,814,973,871,658,301,060,988,774,471,378,
299,478,768,971,013,337,545,816,424,124,949,448,138,136,456,880,612,374,820,
440,504,326,809,713,299,113,669,673,035,946,237,774,562,769,641,587,530,757,
058,581,054,319,783,705,642,536,294,032,952,183,679,222,022,957,123,173,577,
383,950,971,881,374,469,780,896,049,478,075,944,464,702,123,029,516,810,661,
623,308,439,482,244,062,628,675,143,243,790,518,097,034,549,782,762,881,324,
719,847,465,301,603,734,538,558,302,582,336,753,572,682,482,557,420,281,959,
473,885,438,038,952,369,785,799,563,491,577,435,962,725,771,650,523,841,922,
180,384,607,973,177,572,533,537,311,333,119,177,039,596,593,002,827,749,546,
295,092,882,024,103,203,782,553,652,124,618,378,125,100,643,621,942,375,595,
046,234,443,642,684,611,300,302,439,297,647,021,927,474,851,659,036,872,763,
799,581,573,201,818,883,052,949,074,466,715,270,058,596,674,384,774,513,899,
848,060,037,978,752,156,051,557,976,357,833,763,233,176,133,611,225,229,945,
669,011,638,704,207,767,759,472,239,200,972,605,835,895,984,191,907,651,107,
215,759,220,721,735,588,627,951,897,073,793,808,304,198,179,296,441,880,212,
681,606,165,763,775,872,719,056,716,071,848,676,248,627,250,981,070,812,472,
650,813,787,773,112,740,029,772,048,822,921,081,434,860,618,701,455,039,623,
470,291,635,071,933,629,881,648,722,649,616,631,893,199,526,651,038,862,408,
329,807,769,174,859,181,108,581,891,160,099,854,075,027,396,757,945,057,089,
087,028,312,216,457,449,596,540,028,861,904,003,575,322,776,852,970,416,428,
262,838,356,925,113,635,421,121,884,731,274,674,282,254,269,524,653,284,129,
591,810,917,215,225,230,228,409,345,282,343,128,662,496,322,126,297,935,635,
694,421,594,952,649,495,350,263,865,243,770,494,335,684,042,895,894,780,437,
385,010,684,535,765,898,616,205,437,957,584,674,405,521,986,281,356,944,248,
488,234,913,556,744,683,980,453,677,341,928,958,754,574,485,291,866,190,135,
344,890,794,122,333,525,325,987,333,807,961,351,993,870,294,890,786,565,390,
787,530,024,161,888,360,542,737,997,244,007,755,446,681,681,577,838,774,391,
688,435,218,906,676,961,718,150,116,148,102,304,855,016,770,541,645,399,036,
905,029,082,458,023,656,755,012,209,081,802,924,119,545,670,792,133,025,808,
702,645,344,463,667,917,521,669,030,653,551,171,915,391,166,802,515,392,029,
658,213,310,801,416,162,692,699,616,790,133,921,204,199,904,830,800,781,135,
478,653,867,808,580,608,305,606,969,155,662,989,645,329,673,812,125,420,900,
318,954,647,946,484,522,811,711,010,495,206,595,932,267,880,190,667,565,240,
240,232,832,880,178,333,913,582,100,489,514,288,481,881,751,221,642,309,890,
616,770,535,445,905,172,874,544,216,599,072,737,677,449,027,778,448,852,269,
338,938,993,125,047,529,007,904,766,694,073,543,674,663,505,525,055,814,091,
056,837,674,640,830,322,663,549,043,587,158,858,783,619,188,380,164,059,072,
512,632,067,919,661,582,604,595,127,143,323,471,660,752,615,825,586,674,008,
059,606,371,320,954,800,808,460,612,813,354,321,298,398,122,313,145,907,642,
328,731,500,683,081,732,451,824,377,841,108,379,049,883,928,834,921,830,684,
448,456,778,176,491,591,767,496,822,093,460,531,499,976,239,567,959,336,136,
192,589,840,186,698,966,081,299,863,045,176,327,091,372,403,983,395,642,432,
415,665,362,327,385,691,948,263,859,622,772,249,797,603,014,897,450,722,845,
345,219,347,038,462,903,619,369,378,370,285,343,813,700,956,196,402,569,610,
618,415,057,572,925,060,767,847,128,233,690,002,050,531,715,883,964,492,182,
823,880,997,822,621,517,024,068,922,279,168,841,764,165,750,166,066,344,337,
980,346,471,170,900,468,908,280,231,417,015,575,465,154,193,275,111,976,097,
961,676,275,923,174,473,853,407,504,341,099,575,779,511,819,511,738,169,624,
295,534,391,595,612,493,511,090,668,179,328,065,173,182,820,492,522,461,953,
004,720,775,671,003,669,847,057,274,081,502,372,017,814,944,765,169,541,256,
913,566,050,422,194,619,533,902,274,900,273,470,879,023,530,767,551,495,445,
316,024,303,353,501,788,156,497,489,747,988,956,693,997,024,650,238,122,360,
307,041,146,134,338,343,522,347,149,933,985,227,697,596,231,465,037,910,493,
106,327,988,451,329,442,558,477,016,659,645,867,438,132,093,248,645,293,176,
032,476,374,836,700,565,117,245,269,461,308,885,639,027,286,662,570,411,644,
329,855,837,701,440,211,134,889,994,153,863,777,513,653,718,737,024,319,783,
901,956,192,843,821,294,809,738,191,595,925,449,259,495,138,062,388,118,778,
557,914,751,905,416,494,913,455,614,813,915,601,401,118,767,611,104,394,976,
037,703,974,848,847,875,149,924,007,396,538,594,551,736,700,842,776,636,560,
444,886,727,765,638,594,810,622,158,633,427,130,177,098,927,386,124,814,351,
110,678,217,051,009,197,389,178,400,060,101,111,781,144,205,595,192,352,796,
417,556,465,243,615,867,074,233,198,755,341,714,339,427,568,814,326,899,764,
995,240,927,575,435,847,007,908,228,990,476,760,163,980,381,615,846,393,503,
795,565,092,685,150,082,904,085,475,447,609,395,586,644,415,484,025,899,793,
718,151,509,018,158,936,478,576,641,222,203,711,290,668,677,707,850,788,177,
369,711,710,112,822,944,287,054,546,646,019,101,835,991,425,325,843,400,324,
157,971,513,302,030,518,700,130,887,997,797,807,130,423,998,517,313,820,443,
566,010,370,149,873,287,000,588,076,529,245,263,865,796,174,295,063,688,499,
558,737,293,985,475,613,782,631,440,359,069,408,219,407,830,017,478,858,287,
624,864,513,762,435,605,244,430,824,981,177,027,772,361,278,104,352,918,591,
786,317,586,385,664,002,148,915,096,345,576,643,828,525,229,462,195,442,065,
500,324,086,043,098,750,000,862,953,728,709,654,270,318,625,761,944,162,656,
398,847,743,364,065,628,876,044,292,665,625,358,298,925,131,319,176,286,948,
941,819,974,948,230,507,427,430,674,642,732,693,861,989,230,608,341,138,752,
350,775,180,718,592,375,043,502,179,359,975,461,818,176,990,208,165,987,761,
545,947,294,521,508,186,151,590,590,559,067,587,617,418,882,797,941,064,639,
801,653,368,952,265,132,060,240,235,143,091,032,850,602,113,157,854,579,979,
975,693,006,390,021,887,140,040,606,964,816,118,316,826,319,034,207,868,977,
901,546,551,822,724,836,323,321,971,434,979,811,997,349,117,671,242,720,499,
315,982,673,730,402,508,946,856,199,751,171,744,369,687,242,675,379,761,447,
759,142,711,432,805,372,901,041,360,234,083,041,886,748,472,306,576,283,670,
711,147,027,042,608,115,239,862,885,327,100,332,917,935,144,299,288,271,620,
629,357,246,640,234,023,958,375,388,289,696,368,629,878,429,697,648,575,672,
300,738,254,934,116,103,439,724,007,786,630,343,181,362,913,328,721,421,168,
049,997,022,180,562,518,847,754,619,393,915,189,913,771,752,568,494,777,880,
525,039,054,561,966,388,586,615,329,213,977,060,451,922,851,286,061,643,628,
425,199,861,076,420,138,480,744,951,257,866,945,689,836,116,654,906,366,815,
693,702,322,470,771,471,003,688,547,235,158,921,383,967,859,489,558,206,437,
736,238,181,289,550,059,486,809,744,058,549,158,162,433,170,294,271,994,706,
241,799,765,549,298,329,402,217,874,385,484,870,108,079,537,955,292,242,007,
045,920,427,969,987,946,612,533,965,350,918,273,179,537,581,947,089,447,458,
852,461,521,162,122,558,525,836,201,056,612,798,162,490,549,264,120,262,593,
600,082,584,343,584,754,278,861,066,683,813,541,049,361,587,113,177,075,804,
581,995,541,650,178,154,138,058,790,115,456,042,628,542,553,718,745,742,378,
130,838,945,397,068,884,253,520,696,946,780,349,923,789,258,233,793,273,393,
539,851,306,442,415,263,712,658,283,065,854,960,399,651,939,513,461,811,818,
128,021,203,938,634,776,175,884,216,522,488,885,631,711,398,094,732,576,790,
075,083,893,257,967,799,879,157,572,532,775,339,188,155,563,217,806,552,356,
073,750,769,063,552,653,390,712,170,299,322,996,898,751,553,300,854,316,814,
290,813,691,930,935,018,273,714,454,953,825,699,795,770,875,390,049,546,932,
874,295,918,979,526,418,581,724,050,077,479,739,236,468,827,909,965,597,099,
031,717,278,423,426,713,275,369,260,023,366,263,280,785,947,372,056,541,374,
945,485,537,979,803,276,031,519,939,263,179,293,867,870,034,938,543,983,186,
294,825,657,592,118,454,740,622,002,219,292,914,072,890,700,157,398,499,788,
406,821,819,281,654,489,252,863,450,614,123,444,490,895,904,426,090,758,045,
953,400,720,437,750,832,788,099,639,932,371,973,278,521,560,971,928,929,482,
423,353,333,115,329,967,556,379,648,946,455,575,588,066,112,630,067,712,271,
592,059,815,626,956,089,678,634,320,787,554,894,064,817,016,996,015,057,754,
977,752,966,091,355,598,764,380,901,182,676,139,230,100,629,444,935,330,439,
321,278,832,711,810,648,262,921,585,779,517,612,794,996,286,445,369,898,343,
517,221,313,910,685,863,744,209,143,515,416,120,027,708,281,806,782,423,858,
396,076,777,996,606,832,560,586,099,144,872,127,158,153,050,729,589,785,694,
368,567,316,745,183,764,531,976,869,786,607,969,963,480,507,672,547,738,822,
547,821,624,269,267,037,019,767,183,681,364,679,456,039,490,431,553,834,974,
943,819,643,179,908,374,177,050,677,257,683,711,447,258,295,605,429,953,176,
850,391,778,021,682,198,509,064,808,049,819,249,353,481,821,765,380,914,018,
782,988,676,469,379,276,348,141,462,511,132,760,941,038,292,894,379,140,913,
423,157,901,050,356,549,415,991,617,724,107,581,368,311,562,068,293,045,536,
067,310,840,544,105,009,810,455,869,312,354,938,171,060,831,871,728,497,428,
331,419,893,426,857,723,434,109,892,281,227,529,342,694,149,763,631,511,585,
951,654,972,420,876,427,558,800,371,701,253,828,559,560,741,023,533,741,733,
194,838,116,494,301,080,713,845,455,905,340,357,018,305,534,569,864,780,723,
093,836,909,346,461,111,884,296,581,540,551,057,279,341,318,597,425,377,573,
638,039,751,602,546,179,017,013,657,879,215,309,979,361,419,433,534,388,702,
371,584,520,718,796,087,776,064,863,009,746,953,594,936,499,295,986,607,113,
024,975,148,694,653,625,774,581,649,391,316,681,739,209,559,241,287,133,402,
749,861,955,176,228,087,621,924,938,743,441,308,123,945,221,266,885,506,747,
762,082,550,711,182,077,548,554,303,380,885,809,743,013,582,661,911,712,262,
814,336,128,003,487,894,159,443,902,889,123,572,516,263,757,499,431,865,139,
952,755,954,626,247,949,816,695,369,704,823,450,572,404,706,884,841,971,648,
574,196,635,873,057,423,756,086,456,555,289,767,310,384,366,272,545,155,921,
416,978,759,955,665,274,183,974,972,074,601,777,023,765,189,057,115,740,195,
554,069,163,595,189,401,881,934,697,536,815,137,750,827,531,764,077,213,274,
843,424,629,027,934,455,322,856,990,525,897,858,126,592,059,574,816,212,814,
394,598,702,504,057,349,015,652,841,244,044,417,552,788,767,988,896,233,973,
774,849,156,557,686,595,643,399,220,260,262,944,606,277,880,739,167,399,971,
923,218,109,412,804,656,450,345,746,909,182,161,515,297,563,972,511,502,282,
906,455,540,008,470,338,503,866,434,523,592,767,788,888,822,373,746,647,854,
997,325,232,135,635,977,774,277,854,823,586,478,790,714,401,434,896,484,473,
366,365,177,559,867,291,813,864,915,851,035,723,580,288,881,806,572,811,475,
293,565,098,036,474,917,685,293,426,536,413,623,629,188,836,201,281,620,031,
026,636,593,027,036,917,073,590,554,231,422,276,958,730,270,850,047,165,745,
898,019,586,081,815,755,638,788,690,979,442,882,877,620,794,416,727,933,150,
684,617,227,854,602,214,467,424,236,401,477,170,743,911,022,147,202,874,464,
458,686,012,277,224,719,166,904,859,055,691,066,446,652,918,519,783,088,648,
388,990,161,837,715,655,572,957,747,636,680,705,252,905,736,616,153,408,642,
886,743,653,801,152,878,200,739,273,658,152,713,170,538,936,719,714,490,209,
456,970,031,920,167,429,369,146,424,923,173,743,637,888,355,304,331,105,460,
168,196,927,699,294,582,927,151,643,883,669,511,414,163,917,998,663,330,962,
645,722,988,266,275,093,108,261,775,420,105,732,449,625,939,790,882,135,602,
861,106,276,447,047,429,215,967,218,991,671,471,121,522,778,458,249,223,873,
524,449,953,369,398,446,306,591,818,688,254,076,881,221,331,387,012,060,813,
581,127,673,168,651,130,684,633,837,588,535,395,439,233,398,123,655,284,233,
112,824,592,927,698,702,396,282,123,610,430,812,600,133,218,477,785,760,062,
281,493,134,279,170,220,162,241,390,549,044,376,980,533,475,186,585,356,798,
530,100,927,547,928,564,719,777,683,191,540,325,281,118,090,321,703,049,983,
237,411,025,601,861,444,336,527,397,703,729,154,050,566,115,536,263,251,739,
133,871,392,701,255,323,803,632,877,266,651,515,574,294,095,551,656,624,991,
119,094,917,885,823,482,368,490,256,030,879,997,447,908,148,500,307,072,400,
424,874,430,182,165,713,092,245,788,146,430,564,861,526,393,240,923,555,086,
830,772,188,902,146,821,616,767,948,948,962,288,897,044,128,219,696,371,463,
564,245,169,430,753,981,848,485,553,017,690,580,702,553,707,984,548,031,074,
373,868,048,646,728,308,780,155,359,043,073,421,563,006,930,591,287,627,422,
161,831,005,409,901,411,789,182,630,446,306,121,793,979,456,611,986,233,448,
288,435,744,215,663,650,079,595,896,836,880,132,593,690,557,155,819,351,675,
498,203,693,738,650,006,044,460,128,251,725,546,099,890,023,220,314,448,874,
865,371,057,490,117,233,418,537,495,487,776,968,600,931,505,144,987,802,367,
218,853,414,841,438,490,345,482,767,321,247,036,330,761,949,403,851,511,432,
736,466,777,910,312,079,512,045,982,646,991,012,630,440,322,953,998,814,859,
926,180,865,539,334,986,367,034,281,851,355,111,008,549,481,549,033,259,066,
331,932,749,347,823,348,575,286,020,893,407,746,077,204,960,273,145,461,551,
492,548,213,943,101,658,720,371,881,932,525,768,566,741,624,597,383,389,358,
930,811,614,279,586,853,471,235,375,055,226,992,786,231,315,295,136,683,729,
947,839,402,280,880,974,517,214,221,620,946,590,255,467,023,787,224,497,421,
667,112,844,709,894,627,301,255,632,305,672,268,207,421,574,191,978,233,133,
905,738,119,495,879,645,052,681,681,093,119,241,767,793,355,073,793,877,942,
592,560,636,711,572,660,461,762,202,251,100,572,273,730,118,802,546,295,592,
960,585,578,810,162,178,482,521,002,008,757,920,965,908,599,454,904,811,992,
786,816,599,648,234,444,528,448,001,319,088,799,919,657,214,780,446,284,453,
785,819,782,946,103,118,354,913,597,395,403,983,776,303,931,655,706,450,823,
908,138,245,752,436,881,400,288,531,493,511,617,815,503,808,969,891,691,811,
537,057,430,551,501,782,938,721,338,408,138,940,968,435,289,301,934,240,665,
659,890,953,693,434,749,801,937,660,105,927,566,358,317,556,944,910,340,126,
521,238,122,330,185,755,636,923,027,104,233,850,460,277,030,206,231,251,087,
127,992,767,816,889,252,340,336,427,329,613,083,954,279,516,707,563,419,978,
030,270,190,367,154,453,675,581,304,838,458,443,697,609,578,277,111,493,516,
705,950,012,074,809,385,893,859,234,908,787,630,135,223,349,623,611,113,371,
740,167,706,421,619,257,106,318,352,212,846,587,102,338,214,658,236,608,789,
563,212,395,752,184,899,123,362,812,869,908,029,044,053,503,144,888,486,065,
598,162,531,382,005,826,556,088,310,899,938,874,726,658,033,472,363,356,651,
581,048,261,360,454,697,728,702,241,486,393,054,926,855,648,148,296,583,183,
745,204,761,449,119,875,102,397,730,485,649,315,379,641,566,161,713,570,036,
008,400,770,417,858,094,137,720,082,557,622,284,857,534,401,983,385,625,194,
221,643,099,663,590,511,046,119,831,041,482,366,371,993,595,135,210,099,184,
467,442,096,062,682,697,412,818,796,683,581,424,027,982,554,521,693,372,395,
136,127,743,810,471,928,233,766,766,442,846,795,883,864,375,848,313,650,169,
760,220,964,879,105,777,288,154,203,619,220,421,597,950,659,937,218,238,626,
747,604,615,688,959,614,932,286,971,694,782,598,118,300,211,654,161,929,308,
654,557,246,351,951,580,822,820,003,193,060,943,196,118,525,991,274,902,784,
315,387,956,698,741,056,495,055,533,941,620,551,915,569,460,956,116,423,257,
906,862,440,842,017,573,121,950,047,979,674,221,138,280,012,012,495,489,901,
281,546,913,493,323,133,210,464,499,931,826,632,484,659,329,472,647,043,715,
568,347,263,575,964,398,038,516,673,324,808,647,628,782,576,053,319,269,182,
644,876,688,931,440,471,602,020,720,039,146,349,570,328,721,734,271,112,599,
343,420,377,210,887,980,840,457,330,944,274,994,938,815,387,015,767,558,326,
383,460,521,669,330,512,065,065,143,599,062,199,904,667,670,485,379,797,375,
517,203,604,965,259,887,864,112,779,281,528,002,669,856,824,262,948,444,872,
171,845,614,989,951,885,139,747,879,444,493,416,084,747,752,903,634,984,427,
500,249,822,911,193,596,253,198,114,673,060,094,649,171,311,557,837,211,619,
759,202,205,835,280,015,152,884,850,289,334,202,156,677,043,225,697,639,601,
921,731,795,071,180,018,280,704,923,963,426,439,220,170,438,464,364,895,640,
039,325,821,993,527,013,278,438,827,678,888,281,563,285,607,552,906,034,483,
309,991,687,844,311,505,562,104,577,741,906,420,183,470,072,618,761,299,709,
223,675,061,311,810,732,010,286,850,991,566,229,733,387,739,143,355,864,684,
412,416,855,501,019,725,792,104,308,474,493,796,889,521,726,122,825,311,821,
061,268,454,515,291,983,455,847,244,694,710,250,174,751,262,415,354,193,492,
448,753,070,795,458,908,519,780,443,364,974,882,241,292,016,638,305,071,951,
504,113,203,624,481,444,305,624,314,832,836,911,079,830,595,395,119,145,387,
080,852,390,593,935,547,110,997,387,527,824,836,607,476,638,859,290,659,876,
697,532,590,477,159,433,582,322,789,452,207,051,846,680,436,166,393,106,039,
373,551,961,683,231,886,830,679,549,373,184,544,965,513,815,744,460,748,628,
275,703,941,042,773,143,861,959,668,941,424,217,587,889,266,761,257,844,422,
664,109,762,013,214,908,183,060,211,194,098,671,981,154,375,735,330,640,786,
024,948,631,428,126,148,532,551,573,366,694,706,161,834,281,987,406,486,393,
656,528,708,867,617,852,269,648,944,408,645,292,670,977,778,993,517,408,775,
317,005,622,419,997,201,002,728,558,498,624,995,098,211,679,085,332,935,591,
851,943,497,366,128,413,367,126,934,965,528,412,266,899,922,642,320,802,733,
468,450,470,287,278,876,359,782,844,264,077,239,500,857,073,792,404,699,951,
976,632,278,035,421,587,310,020,069,714,365,040,728,336,441,235,030,541,850,
294,124,526,920,772,009,183,543,542,515,815,753,785,337,633,772,238,424,530,
308,763,075,589,725,174,386,285,379,064,652,822,829,724,994,208,442,076,252,
486,928,575,398,490,484,114,070,274,548,301,387,379,462,003,631,659,028,556,
120,356,096,325,424,145,701,317,263,330,158,730,044,831,769,190,041,096,188,
078,790,915,507,037,756,182,269,484,984,331,876,161,087,457,662,575,815,253,
020,920,116,605,084,085,592,192,405,385,872,735,318,276,685,082,534,230,440,
191,919,460,274,703,103,916,744,189,461,067,232,335,957,347,319,113,341,546,
492,063,645,958,605,963,437,214,955,694,445,880,194,484,600,457,570,060,211,
771,751,153,921,579,264,741,311,570,323,366,348,574,746,040,077,089,763,290,
215,243,100,333,932,943,110,204,648,134,926,874,242,883,140,174,077,090,515,
108,126,718,690,775,451,552,753,415,338,719,619,984,599,487,600,415,111,244,
923,979,547,096,603,550,062,852,372,024,800,539,316,469,001,406,455,368,154,
538,450,040,951,259,282,423,243,932,581,402,166,387,526,499,848,509,853,365,
771,383,286,413,552,365,799,532,374,965,172,829,049,347,540,869,023,598,142,
280,254,323,780,132,140,570,913,379,783,592,936,166,706,287,291,331,220,429,
970,492,703,064,643,870,895,910,570,007,575,069,020,067,445,718,047,364,988,
044,017,777,903,841,222,848,489,225,390,439,874,417,955,633,570,027,597,520,
162,522,821,948,903,701,633,280,095,242,569,018,134,980,661,109,144,120,546,
723,811,998,200,983,199,277,273,615,423,729,425,364,249,050,625,020,690,812,
688,390,784,009,775,968,117,270,052,436,387,823,508,171,771,563,459,610,914,
856,874,402,841,701,192,885,203,911,372,989,952,312,585,631,631,158,471,561,
331,740,956,176,829,227,383,217,507,392,677,221,549,918,347,045,112,842,317,
517,798,031,953,852,138,527,189,286,082,208,923,551,404,018,793,960,959,109,
705,754,527,711,109,697,795,018,343,091,669,643,255,742,608,101,476,994,101,
934,181,218,086,368,341,615,434,232,848,232,418,725,748,628,266,882,628,884,
953,691,392,858,646,202,819,218,963,589,702,748,474,337,134,229,656,988,977,
321,362,661,780,101,500,640,532,670,474,273,467,123,493,377,022,488,344,389,
220,606,983,354,458,932,988,379,448,176,283,187,792,935,293,408,002,446,943,
847,363,107,773,952,842,461,909,029,757,936,183,047,525,464,801,897,619,585,
116,583,417,991,949,926,635,375,123,417,055,501,174,023,534,269,236,424,875,
484,269,012,175,776,952,964,821,335,315,854,686,671,842,788,452,871,836,633,
944,560,602,404,344,063,431,264,216,681,232,166,915,397,559,858,527,227,379,
568,814,275,552,484,363,075,111,452,247,661,134,520,432,700,010,292,522,893,
442,172,286,403,086,540,759,153,630,132,803,267,090,709,220,894,139,689,693,
341,797,309,227,448,333,502,775,869,399,884,871,236,849,700,953,823,093,405,
854,946,067,358,777,080,380,482,419,558,702,083,772,487,350,667,832,594,768,
981,968,219,315,952,305,625,136,045,060,928,986,585,964,644,768,576,753,333,
429,701,897,647,673,560,874,823,442,982,892,455,445,044,248,823,612,280,900,
541,218,045,397,226,305,552,464,812,307,625,550,051,293,821,749,094,029,081,
648,917,664,318,766,664,139,063,110,421,949,979,581,049,744,680,374,993,156,
322,295,902,110,177,264,105,768,811,281,372,060,835,161,045,157,357,594,246,
129,118,440,422,439,073,424,365,715,101,128,157,875,582,831,066,134,289,458,
673,561,112,021,665,678,537,097,274,919,480,445,358,982,726,157,913,169,558,
022,559,762,286,368,981,708,979,938,347,408,584,928,831,466,081,252,609,114,
141,660,467,211,389,607,989,508,891,549,866,127,929,558,121,562,154,045,329,
823,097,145,899,569,441,904,960,683,296,206,747,234,189,129,293,694,951,620,
055,882,525,446,807,872,422,800,224,397,901,422,274,391,809,805,236,688,141,
839,929,875,890,264,932,885,421,304,555,065,822,038,540,646,756,890,939,906,
290,632,220,670,612,049,899,049,687,288,253,543,682,722,762,522,150,504,405,
543,760,277,425,016,355,417,545,514,905,010,594,416,970,806,073,531,430,527,
515,846,445,852,435,369,671,583,578,711,696,410,870,219,491,388,952,897,901,
202,590,279,903,512,472,334,222,894,306,681,095,819,405,381,485,450,294,590,
112,324,394,638,417,066,808,149,582,265,833,339,552,151,663,946,805,254,824,
245,308,845,057,976,595,754,312,349,018,601,689,630,298,362,364,724,998,206,
263,213,356,652,051,976,444,985,334,895,656,230,101,557,454,532,424,002,846,
429,088,758,924,624,736,935,479,279,692,758,710,999,895,710,646,590,713,059,
814,402,930,834,700,709,599,684,299,729,461,365,623,302,480,036,100,134,663,
923,346,005,193,026,097,445,265,425,187,398,274,250,388,800,692,998,958,995,
591,140,512,701,247,731,793,248,439,482,630,859,759,352,741,700,352,768,020,
258,543,963,379,413,709,642,964,409,573,485,330,089,258,926,171,058,849,175,
763,862,894,143,784,850,979,033,337,960,363,428,480,578,396,593,813,946,234,
189,863,098,112,757,546,865,226,918,445,487,599,687,794,965,761,437,038,447,
725,708,126,914,060,938,938,858,255,424,316,352,662,589,207,112,976,860,484,
493,956,701,296,176,959,356,866,373,554,900,425,549,301,210,397,512,889,629,
989,676,704,898,904,858,932,596,944,152,447,379,146,456,457,162,333,674,613,
418,199,481,926,307,824,552,152,152,938,486,121,157,691,335,842,243,668,408,
455,206,635,380,147,855,871,040,108,151,835,655,885,522,376,082,102,519,385,
085,541,375,088,768,716,887,115,850,960,999,758,577,444,714,956,699,083,793,
642,451,697,634,652,888,758,280,552,255,747,891,163,191,210,968,870,812,512,
079,400,057,557,172,652,271,656,334,060,943,297,490,626,547,268,959,378,964,
344,123,115,056,171,770,028,788,556,576,062,274,480,917,870,136,738,844,611,
310,967,831,334,888,742,891,713,098,691,040,371,543,772,519,372,699,006,133,
459,386,336,612,993,150,827,175,226,147,811,778,784,868,834,865,933,516,428,
278,202,993,943,284,507,518,305,601,820,801,002,787,231,392,747,494,093,694,
423,565,067,781,005,036,801,726,474,280,949,667,399,794,451,905,407,869,469,
562,738,927,041,145,859,151,516,405,887,021,342,924,728,824,776,498,996,840,
891,509,555,677,253,732,677,877,105,712,999,372,438,568,386,283,388,784,095,
000,389,305,463,224,585,923,369,610,104,884,077,503,677,720,521,190,825,098,
005,802,153,685,543,335,347,461,721,308,563,047,980,062,269,939,820,922,940,
731,379,607,355,270,796,431,475,756,138,370,429,912,300,147,770,785,762,309,
450,727,684,709,758,390,862,813,493,229,754,917,457,963,975,384,346,477,582,
448,588,915,244,489,086,383,078,298,870,480,821,158,037,727,525,107,244,648,
204,727,040,082,653,675,824,104,818,124,302,375,784,477,618,559,617,018,259,
103,474,779,078,802,937,243,239,281,363,533,524,352,653,800,311,197,532,631,
536,447,675,396,220,357,459,777,407,585,932,969,391,091,331,968,848,263,992,
761,774,963,440,762,962,928,380,057,221,938,818,923,352,724,939,651,412,592,
756,035,023,757,361,144,520,681,655,219,096,255,897,427,683,720,944,720,931,
303,023,583,503,509,561,033,841,223,027,474,408,579,194,663,568,578,477,548,
846,129,924,129,351,175,451,846,924,648,350,533,602,205,999,913,838,928,611,
237,212,191,882,165,813,336,294,240,033,648,334,417,112,366,844,759,231,984,
658,788,207,310,311,455,099,390,402,719,714,578,145,066,535,425,702,187,745,
157,013,860,151,066,337,004,155,740,781,439,206,718,559,969,649,205,108,258,
150,691,861,011,288,944,862,315,532,875,763,812,679,937,938,820,081,581,789,
807,675,731,850,686,272,856,353,235,711,806,812,964,708,074,454,756,309,276,
001,744,083,359,519,192,860,719,656,613,469,450,208,197,265,167,261,630,747,
633,297,239,836,895,613,852,093,296,456,098,290,702,621,403,099,654,721,030,
909,047,194,714,973,018,022,921,417,122,048,524,850,290,948,524,505,514,584,
177,709,407,256,254,703,423,062,623,466,925,336,393,280,607,348,682,112,146,
382,083,664,251,330,719,669,096,227,435,435,958,120,509,150,060,178,615,995,
759,399,822,136,803,693,042,222,610,863,113,969,379,510,926,737,669,769,329,
769,392,505,378,793,727,859,136,198,321,189,341,982,312,232,410,465,655,517,
895,587,495,277,225,885,540,533,033,344,068,412,638,679,119,656,263,146,867,
392,253,926,467,010,623,582,801,081,475,170,125,686,691,191,037,175,735,898,
177,154,784,553,656,402,467,747,179,145,738,224,285,193,314,878,798,931,045,
134,616,055,294,059,091,122,169,884,301,062,590,952,898,229,759,296,325,957,
925,820,994,505,530,627,989,132,450,458,470,968,384,215,727,945,935,727,185,
740,299,418,544,541,041,363,629,094,627,040,486,893,974,957,543,735,363,936,
173,855,454,333,503,514,632,905,981,042,684,033,962,652,496,409,424,605,482,
891,159,796,043,248,233,287,658,452,527,878,647,373,445,446,981,583,019,618,
566,972,291,230,566,405,699,730,339,771,257,289,467,169,441,118,320,518,104,
190,488,390,675,785,774,857,675,881,684,178,526,302,880,419,504,409,090,738,
807,925,680,646,772,903,591,254,121,314,900,020,513,286,457,395,592,004,169,
343,751,567,435,170,085,876,245,242,845,753,650,495,483,314,066,281,688,119,
965,195,171,227,705,290,699,154,478,806,233,797,669,110,603,316,847,390,796,
983,098,917,586,994,500,079,494,958,652,476,381,955,838,939,895,923,869,579,
469,324,769,763,047,885,669,230,275,167,525,619,380,224,170,177,674,690,313,
620,820,875,219,097,840,990,441,959,670,474,906,539,557,953,676,847,276,102,
260,368,604,678,780,317,893,573,419,826,653,619,762,460,500,717,690,016,842,
356,021,615,846,131,217,050,056,249,571,584,321,197,294,557,131,712,467,925,
546,450,115,033,851,838,867,252,566,878,947,756,078,243,720,986,729,740,962,
577,392,899,520,261,297,930,552,546,368,717,524,691,047,767,895,976,310,685,
078,407,575,824,018,483,151,248,891,054,991,869,821,352,488,302,433,890,877,
489,805,012,415,116,747,624,466,469,090,217,873,954,164,098,810,627,662,813,
027,784,555,699,879,927,401,199,935,144,486,328,583,066,944,600,457,777,051,
452,404,921,406,346,248,102,593,884,845,346,396,786,202,590,075,457,541,982,
533,160,375,135,159,985,436,062,220,961,307,572,950,935,426,738,713,558,806,
246,066,043,025,985,479,765,336,847,024,548,029,998,028,070,571,980,445,972,
930,378,717,091,744,725,064,902,465,653,448,791,098,070,280,788,918,451,631,
277,353,236,462,365,473,469,366,226,205,952,879,857,397,190,396,493,476,882,
049,714,722,572,365,033,422,218,297,460,407,991,991,523,943,037,118,694,178,
139,298,110,501,001,063,381,388,024,395,767,028,928,915,016,148,957,161,763,
667,617,348,003,067,488,179,928,418,471,584,001,010,835,142,105,848,411,302,
708,352,474,789,564,499,680,028,136,994,018,388,352,133,425,886,956,410,862,
352,603,395,888,661,840,655,362,681,644,355,231,678,201,396,679,623,878,660,
119,033,736,156,511,460,259,659,467,365,989,231,929,046,030,196,319,943,272,
999,914,055,720,988,344,476,308,292,973,412,669,920,798,799,501,262,776,416,
772,269,114,591,328,209,975,671,734,388,032,794,135,983,561,639,040,571,434,
732,674,833,199,540,783,345,167,821,544,388,787,095,419,399,558,279,368,668,
377,021,140,536,664,382,977,651,270,722,121,103,408,920,253,491,084,352,074,
501,522,708,147,228,735,825,081,210,593,462,648,232,170,342,710,938,324,820,
015,316,835,490,983,487,379,955,792,847,251,883,897,454,149,098,388,076,517,
736,314,369,362,336,936,375,500,654,256,038,440,763,185,604,750,291,292,171,
796,872,347,780,061,025,329,651,161,023,748,747,926,144,906,685,291,151,685,
145,852,573,901,947,537,701,661,233,507,938,012,963,513,749,997,741,179,485,
428,623,391,212,808,579,885,903,748,464,383,552,377,051,120,438,112,939,048,
944,691,406,772,023,938,865,670,497,073,560,663,513,914,092,175,263,120,407,
097,370,083,858,749,206,852,508,628,367,080,958,827,917,853,102,989,117,474,
640,384,323,702,031,661,115,083,726,513,576,451,842,510,185,587,357,728,795,
139,287,766,773,778,052,133,913,429,858,528,697,046,609,087,691,487,667,249,
536,763,314,516,322,550,378,524,051,981,230,702,429,984,181,413,396,126,513,
417,091,225,873,424,645,507,137,516,797,679,818,229,276,444,738,948,934,033,
445,283,915,525,606,409,646,632,632,948,536,233,333,448,166,347,898,167,014,
008,311,415,215,573,201,244,212,435,818,643,424,285,208,613,795,637,938,875,
033,834,984,519,078,404,977,272,914,828,985,179,722,142,272,885,863,780,079,
379,108,922,331,565,872,478,509,626,352,866,900,407,770,257,515,824,583,683,
317,010,577,081,231,836,477,928,340,991,569,277,241,653,428,941,876,545,098,
284,375,089,292,260,785,692,401,680,783,560,186,501,043,352,714,172,760,686,
123,351,216,173,571,736,303,615,199,858,925,439,933,620,516,952,618,247,634,
877,327,578,356,784,781,232,096,937,401,783,254,898,633,513,328,575,385,183,
015,642,506,666,725,954,427,953,782,485,807,384,995,248,155,954,691,721,134,
257,816,217,713,514,517,155,781,880,080,992,528,011,774,748,582,882,109,751,
273,633,998,173,658,094,548,124,839,363,983,864,495,295,660,058,889,481,676,
744,195,355,682,248,586,192,942,729,889,415,271,921,853,843,086,951,845,016,
802,396,153,935,540,034,493,085,379,300,276,279,819,165,617,865,088,222,597,
783,175,164,675,823,541,873,466,922,967,506,976,490,672,142,653,538,136,418,
695,354,237,325,515,573,682,251,789,240,988,533,337,217,034,230,529,094,645,
490,404,179,915,348,164,313,564,917,684,742,192,081,297,038,827,466,900,173,
450,006,802,184,079,509,343,941,551,419,954,152,352,101,921,207,899,236,249,
720,155,468,536,788,849,030,914,688,091,273,544,473,595,538,417,488,418,079,
618,436,496,673,946,086,554,469,472,199,373,675,383,306,121,741,497,407,504,
853,477,901,448,461,038,604,811,833,636,630,888,631,240,073,323,631,506,115,
736,738,077,845,710,885,291,075,187,588,488,950,942,428,422,516,805,698,269,
885,394,870,252,587,418,475,995,274,511,875,995,971,887,061,609,003,956,698,
276,150,868,561,011,080,215,988,626,807,052,408,904,153,499,377,171,996,385,
134,682,835,308,447,811,670,677,419,312,367,612,947,626,126,806,189,309,638,
750,711,900,774,061,815,026,320,641,444,704,727,126,820,424,288,916,741,361,
946,440,020,873,328,758,739,325,223,003,441,611,880,475,851,775,589,386,018,
113,849,142,607,795,302,337,834,392,137,891,441,094,724,657,814,345,274,414,
897,050,609,577,721,265,768,449,507,096,602,870,775,527,231,031,938,155,316,
958,219,861,525,255,742,331,048,790,996,878,824,187,825,872,614,915,152,283,
344,918,093,963,333,342,072,174,031,234,901,930,897,046,581,379,800,126,087,
209,494,679,339,388,065,910,797,331,034,932,220,575,565,777,743,069,949,194,
950,290,013,369,882,338,146,556,987,202,492,505,524,184,943,124,279,586,636,
604,263,915,356,001,736,495,887,442,051,608,573,142,944,251,462,647,402,218,
880,477,010,270,763,510,600,879,680,264,725,093,337,614,074,497,207,717,562,
159,760,928,724,446,677,444,315,645,491,808,182,258,729,972,769,590,486,388,
610,211,331,760,267,051,339,009,007,773,111,095,795,168,106,601,813,084,418,
812,976,596,736,206,411,278,543,624,754,448,327,492,398,316,055,715,157,038,
640,472,444,409,651,770,707,329,720,942,867,419,944,850,514,794,949,129,929,
618,810,098,355,067,607,725,370,978,633,846,662,311,163,145,672,218,398,255,
007,956,970,150,570,542,683,881,752,620,380,091,377,926,438,818,164,685,691,
262,323,912,522,795,539,648,050,525,120,758,582,201,569,144,541,232,356,389,
558,772,624,130,091,228,152,787,596,543,674,929,752,233,548,203,078,348,123,
539,562,868,043,192,604,820,651,774,602,761,944,122,817,857,890,509,160,360,
408,985,777,947,654,648,906,764,743,414,176,166,002,484,026,399,313,382,993,
301,120,938,407,887,078,364,303,180,461,554,982,085,618,850,339,559,411,447,
385,438,946,299,775,530,136,444,941,982,198,019,821,791,974,426,734,712,044,
176,089,358,562,149,427,013,530,535,954,251,451,849,395,280,526,914,492,731,
252,874,290,254,829,668,538,893,406,715,807,199,303,309,142,273,612,515,478,
171,237,304,456,165,410,961,769,536,251,435,333,783,586,359,063,507,591,880,
168,873,455,845,502,614,848,740,510,890,704,913,631,868,956,054,440,258,950,
071,486,407,136,589,865,161,775,106,928,764,398,886,775,249,139,031,629,977,
984,848,124,970,386,499,847,079,840,355,646,913,579,872,132,341,107,470,027,
680,947,368,239,441,504,823,106,232,584,744,653,332,811,900,977,983,835,679,
046,082,221,284,251,019,782,508,488,618,699,524,582,986,142,209,308,481,292,
274,121,970,073,908,651,655,018,561,339,213,975,516,113,502,530,254,055,616,
681,037,846,640,020,457,863,117,773,729,501,123,849,192,242,109,016,670,395,
250,856,340,862,835,563,197,516,833,126,852,533,284,595,338,193,842,275,777,
028,011,947,480,644,765,353,272,800,297,563,383,817,968,240,450,465,975,516,
540,237,208,476,696,901,407,281,872,602,044,309,019,307,290,326,307,862,200,
718,391,987,208,426,809,405,830,377,563,574,869,235,943,304,139,870,924,663,
977,787,724,010,895,244,688,876,662,336,123,142,241,234,949,959,381,881,474,
104,767,594,634,583,763,946,774,176,916,360,514,331,476,580,989,251,818,122,
650,860,335,361,420,562,116,861,845,811,230,517,627,970,266,494,632,811,916,
274,377,273,304,535,295,161,937,958,201,399,547,516,805,345,408,240,602,289,
864,358,826,600,641,033,765,495,739,144,200,810,333,876,198,236,032,621,620,
380,448,790,805,051,107,284,866,497,286,486,110,360,594,142,743,337,885,658,
343,944,400,240,058,593,339,106,028,194,299,880,524,462,817,925,778,497,431,
589,091,469,429,214,454,171,096,356,095,350,253,420,056,083,098,396,415,647,
327,580,894,301,456,281,013,579,702,111,353,350,304,261,624,844,773,396,285,
529,908,159,608,598,434,122,061,569,745,085,019,424,338,773,251,193,165,315,
465,892,617,178,619,024,618,631,033,511,926,152,741,108,459,093,729,618,081,
294,890,473,589,906,836,453,498,311,178,514,428,345,305,613,751,013,958,387,
906,298,471,765,276,600,591,223,678,344,416,052,651,777,972,251,784,706,660,
912,119,229,120,340,940,167,870,788,101,020,183,035,735,433,844,433,098,683,
347,723,300,836,032,702,536,759,198,521,505,463,347,886,569,592,922,512,959,
086,057,363,960,838,613,827,617,693,103,614,414,988,320,495,010,619,470,410,
067,403,521,022,144,176,526,019,848,501,644,985,591,634,665,718,538,780,355,
342,641,664,591,453,568,344,597,764,999,392,566,845,964,430,918,987,784,178,
539,520,169,760,069,634,435,613,301,649,524,631,918,851,341,732,343,254,174,
279,013,315,337,324,137,629,876,444,971,408,746,491,692,541,444,686,064,863,
055,667,436,928,511,614,441,487,012,076,162,839,650,971,643,448,110,561,222,
171,713,931,200,898,010,659,737,294,290,796,232,686,410,808,030,163,857,696,
825,052,530,662,546,546,724,552,642,933,260,034,637,479,462,657,759,332,304,
470,289,501,078,598,733,113,070,128,207,383,456,408,425,367,314,068,830,846,
377,169,855,626,494,402,782,331,814,016,531,341,048,626,716,341,048,209,343,
424,799,027,742,972,887,130,159,715,751,995,833,615,338,456,841,195,499,245,
692,281,872,237,253,418,678,389,750,567,040,763,994,120,359,343,583,207,692,
274,135,544,820,619,604,923,281,106,667,876,642,065,627,396,361,835,849,461,
892,256,975,047,148,117,825,707,006,322,469,042,536,333,910,294,142,659,085,
083,697,468,666,325,552,903,720,317,913,700,437,936,127,852,735,802,844,359,
052,307,432,111,421,176,000,836,485,856,695,706,849,159,112,613,913,896,018,
245,171,801,309,164,379,584,155,006,333,689,607,648,838,989,390,992,105,452,
722,092,717,172,392,426,800,263,208,185,068,914,363,808,875,632,460,313,167,
884,610,401,592,586,969,502,014,577,929,602,594,238,631,283,190,704,415,075,
884,389,270,849,429,468,059,390,743,138,075,386,134,008,508,001,616,992,653,
028,797,533,195,296,993,851,191,365,833,812,736,340,231,924,168,661,406,680,
740,650,200,703,695,444,841,960,867,648,201,459,703,588,208,029,302,296,878,
257,535,045,216,153,238,623,913,701,484,226,581,160,068,445,596,950,182,410,
332,096,342,210,545,354,068,883,151,426,614,313,373,086,796,071,825,936,887,
306,268,937,252,405,673,563,403,903,121,045,832,556,944,773,868,109,827,959,
021,065,124,917,651,460,274,791,469,734,192,824,636,701,029,138,512,476,519,
111,820,595,929,945,808,980,454,693,476,876,022,241,692,086,704,801,154,201,
075,782,349,215,427,527,840,440,342,894,305,780,127,334,716,344,361,259,966,
121,400,703,957,796,484,428,496,280,107,177,839,607,886,632,529,191,092,512,
049,897,825,576,759,479,593,736,042,077,614,052,535,440,639,208,620,647,671,
382,303,437,226,153,083,375,764,489,411,366,934,275,269,653,217,341,758,849,
681,843,945,169,213,800,098,359,171,041,903,792,231,122,154,359,687,847,270,
296,573,968,040,533,565,974,597,815,343,109,846,356,959,216,977,526,113,900,
342,633,213,835,601,585,598,940,253,921,964,078,394,895,614,736,339,646,977,
440,715,801,135,773,238,270,725,443,978,511,736,928,603,912,328,669,015,814,
185,425,089,650,473,116,014,560,656,483,543,989,997,183,198,237,423,050,299,
424,341,190,048,021,708,716,327,956,643,054,910,574,168,652,107,526,992,134,
607,411,932,439,434,782,517,935,850,143,323,740,074,924,775,913,807,580,252,
985,730,451,415,821,195,272,087,710,661,888,808,266,146,104,575,056,051,830,
450,620,935,900,343,547,566,772,559,554,993,152,653,429,154,934,122,541,857,
868,748,974,618,765,035,131,938,309,726,089,737,732,841,654,576,835,399,266,
686,405,730,386,581,650,029,044,773,477,322,242,865,853,888,289,518,492,985,
243,686,658,031,137,585,742,014,205,029,761,087,207,232,736,079,842,118,662,
292,439,353,308,509,726,776,527,006,766,384,536,764,334,976,950,906,138,742,
882,122,891,657,914,216,065,062,021,327,405,122,168,712,820,705,305,860,956,
665,812,999,369,501,323,053,314,560,015,845,254,666,950,115,371,446,614,659,
974,450,423,095,336,608,129,130,244,523,396,807,700,917,289,273,187,848,011,
402,122,340,353,976,178,780,921,049,116,390,503,134,657,004,518,668,754,580,
661,300,712,970,074,839,724,786,805,635,293,587,085,392,868,246,642,596,785,
298,276,789,671,254,939,766,147,157,651,726,985,190,152,312,049,465,048,555,
922,092,102,425,306,740,871,409,298,090,721,715,559,381,726,168,190,040,471,
311,879,265,568,186,370,595,342,086,736,907,138,912,738,149,135,621,105,286,
393,705,294,033,157,208,687,773,929,226,470,060,750,968,796,016,966,307,141,
548,502,533,699,385,856,980,493,978,746,052,676,032,090,751,267,487,479,046,
908,846,119,032,515,238,815,390,182,831,191,747,038,524,388,806,779,613,484,
935,188,444,755,454,757,029,315,758,612,129,837,161,925,899,931,080,787,886,
869,117,211,875,705,946,359,493,821,698,522,217,881,499,502,839,594,387,085,
808,882,844,522,676,327,740,565,204,704,198,725,967,306,994,628,789,404,404,
662,930,069,065,735,790,252,265,202,009,383,973,736,986,158,188,126,878,304,
139,054,565,881,425,358,708,374,312,170,039,322,620,932,778,437,401,241,536,
151,215,584,982,602,528,295,863,131,730,233,466,287,962,814,362,802,694,047,
530,055,704,741,219,304,354,809,647,260,249,656,695,821,188,617,616,526,527,
218,048,208,175,584,992,584,182,166,416,098,081,687,420,462,417,698,240,574,
758,941,921,104,020,419,634,112,081,406,344,789,408,373,300,347,532,583,451,
176,202,047,716,435,160,046,741,797,746,955,212,643,580,744,325,026,894,000,
212,827,472,962,685,532,004,914,743,410,107,608,835,105,933,433,928,812,200,
335,060,717,962,080,580,089,784,358,459,465,361,466,638,585,276,987,148,590,
111,279,212,612,911,979,777,255,254,565,677,750,008,877,481,524,524,118,951,
965,947,502,894,711,097,838,453,394,883,792,208,497,999,408,198,131,833,950,
860,129,705,184,422,982,465,991,188,794,739,420,978,815,221,906,579,588,764,
996,887,984,549,141,214,332,175,564,473,542,112,936,612,660,308,926,016,046,
910,445,288,549,981,665,267,322,184,202,088,115,365,392,518,089,651,118,083,
125,881,717,465,628,258,062,413,638,623,747,839,091,401,574,284,274,908,072,
308,418,593,551,726,331,579,815,788,353,438,423,027,412,706,086,316,281,875,
832,121,344,185,675,630,360,169,951,076,298,246,243,904,746,196,057,586,422,
927,651,982,046,188,590,953,611,430,966,877,926,799,993,330,095,723,906,525,
036,049,061,982,470,328,470,874,106,399,427,248,715,070,964,293,938,703,320,
316,796,762,029,687,808,082,635,086,784,218,464,584,387,276,838,041,004,614,
716,938,338,713,093,100,350,275,664,742,468,362,204,937,582,086,903,577,454,
887,689,722,732,441,715,268,648,334,092,636,423,394,320,163,473,392,344,201,
939,401,345,600,266,201,900,296,006,971,915,273,203,444,108,838,139,519,490,
593,867,045,158,111,695,059,972,662,971,465,413,844,981,077,068,619,079,644,
129,859,346,097,958,797,601,870,310,088,057,515,709,495,774,737,898,240,748,
066,824,430,730,584,749,142,441,811,608,005,479,388,004,624,856,375,540,559,
973,010,871,436,583,589,788,498,058,212,832,996,482,798,660,637,322,813,792,
349,208,908,652,477,365,879,859,347,069,937,074,301,234,777,967,881,002,550,
158,117,977,853,363,264,426,200,231,425,070,374,645,314,226,898,559,471,626,
075,419,584,590,223,557,121,047,151,719,344,177,580,983,664,471,161,726,765,
179,897,862,737,486,632,230,837,923,838,731,930,165,494,621,724,675,220,105,
844,920,384,594,552,666,009,378,134,161,824,030,470,616,803,175,075,247,067,
884,920,401,546,935,739,805,218,610,306,954,174,168,395,778,605,818,297,067,
788,155,517,358,182,992,760,749,446,140,507,504,280,899,031,855,374,264,511,
979,815,938,354,198,315,310,588,025,255,780,710,954,683,035,716,422,137,417,
052,171,557,714,773,382,323,358,430,128,187,774,404,482,609,278,687,241,034,
029,019,133,451,998,749,524,332,817,249,946,861,168,850,375,459,361,194,858,
339,953,001,211,700,694,230,526,368,230,704,798,729,253,208,366,847,506,193,
952,862,787,725,096,578,449,768,948,033,663,620,555,903,828,813,510,318,559,
604,082,133,540,427,154,736,173,224,649,259,049,243,644,000,660,072,034,396,
379,408,232,936,637,100,969,579,998,594,122,383,329,503,057,952,625,389,735,
135,264,228,048,764,738,218,381,546,175,755,197,018,956,838,650,959,590,995,
477,832,183,310,040,711,652,812,919,241,880,634,788,652,524,848,852,546,480,
983,291,051,146,349,368,246,796,803,893,549,426,384,451,718,419,690,893,261,
936,566,786,502,160,911,321,607,566,790,822,966,851,194,482,539,363,755,234,
857,427,912,602,200,803,379,069,972,184,348,759,309,291,154,202,684,192,784,
491,225,392,435,258,842,067,558,116,817,938,808,708,291,868,948,511,706,623,
889,277,652,353,589,387,187,316,151,967,317,067,579,620,697,872,712,749,357,
682,862,691,428,861,920,922,225,628,576,588,668,715,459,412,525,426,453,821,
990,773,911,215,779,970,583,047,101,755,378,387,677,992,266,444,129,334,562,
156,904,836,708,896,798,670,467,791,906,345,053,377,422,074,923,788,770,712,
008,931,664,208,155,940,436,140,383,651,871,447,780,826,678,351,979,949,952,
102,506,986,564,857,478,392,100,428,799,061,378,424,382,543,654,125,390,472,
483,006,553,772,244,273,083,935,539,365,473,038,137,960,002,789,309,312,488,
666,249,357,811,982,257,069,736,263,529,650,779,050,336,470,360,819,033,757,
305,138,273,212,272,836,436,336,579,001,959,602,993,561,579,464,239,752,119,
264,190,835,429,201,578,445,525,466,834,976,723,212,109,911,697,220,213,377,
540,607,930,275,075,973,094,225,831,450,890,752,082,423,842,415,631,067,668,
034,056,414,574,168,194,391,879,890,549,303,610,305,435,669,224,653,366,120,
880,556,221,331,543,461,771,601,229,509,857,478,676,406,499,859,863,275,765,
419,483,004,893,181,710,540,539,185,682,002,866,430,216,631,197,178,632,337,
217,419,763,536,938,808,388,629,506,309,600,662,227,144,340,821,029,161,629,
114,999,832,623,566,377,977,265,839,451,084,938,492,943,506,132,758,404,070,
789,129,028,637,160,393,108,111,675,991,382,398,652,971,980,472,217,738,152,
915,662,015,377,173,165,832,792,987,541,007,048,598,311,706,327,755,073,664,
241,598,411,141,977,333,091,081,888,260,885,142,735,082,169,922,215,429,001,
004,850,735,385,882,663,043,571,306,375,581,999,008,000,690,543,398,306,663,
260,437,526,878,408,510,219,742,023,164,459,312,333,596,000,814,316,023,321,
366,160,537,835,303,387,784,146,958,458,482,092,672,470,386,687,002,659,258,
393,969,493,229,858,268,161,992,439,966,710,157,502,159,573,480,598,491,702,
759,138,444,724,698,297,662,270,305,900,639,028,733,839,225,651,707,677,647,
369,006,725,151,984,798,269,001,303,547,978,188,704,102,812,084,755,130,843,
482,669,023,628,388,361,487,274,832,248,232,731,169,094,169,888,286,925,089,
509,197,681,017,449,529,336,662,613,887,950,515,058,508,406,841,746,728,107,
616,471,748,122,369,139,361,885,974,357,770,020,740,337,357,858,376,325,653,
324,366,887,499,033,967,543,925,603,893,549,519,856,499,335,889,576,737,485,
534,344,677,111,013,428,084,644,792,372,378,935,554,769,885,130,539,017,947,
222,414,240,385,835,538,554,747,045,513,720,507,736,758,130,473,398,401,063,
227,329,031,480,949,962,369,486,341,488,427,180,356,500,672,234,986,381,698,
010,460,750,128,299,916,668,374,120,512,886,293,604,635,789,056,545,189,207,
090,804,555,110,730,113,337,394,851,101,069,360,216,916,573,830,042,118,114,
896,751,029,854,459,257,023,378,626,787,645,170,708,420,507,278,724,613,446,
825,676,185,418,613,165,091,106,907,479,867,401,537,195,624,527,977,215,775,
917,439,397,863,183,892,476,109,187,736,566,496,014,444,385,423,044,785,432,
708,789,711,844,548,669,287,644,512,584,191,709,961,914,035,853,301,394,587,
057,963,544,148,462,231,666,546,721,313,987,521,226,276,894,076,543,765,332,
619,633,071,148,032,148,344,998,049,405,537,551,938,102,120,096,217,389,555,
714,018,465,990,536,280,735,310,628,084,582,655,601,934,092,190,804,923,870,
973,092,457,711,169,998,234,033,218,088,121,936,225,460,647,489,742,422,690,
501,440,181,383,755,601,822,450,297,351,521,335,150,497,077,121,707,073,151,
767,217,649,764,742,094,424,084,804,682,525,244,158,400,149,971,496,974,681,
652,435,095,556,739,417,963,356,704,100,783,013,443,392,474,398,721,509,423,
493,259,405,044,979,907,108,050,167,314,560,895,689,794,173,380,930,382,723,
625,529,713,496,141,856,262,525,988,592,425,382,995,853,450,956,582,935,219,
692,453,610,711,509,284,250,432,652,324,276,895,908,129,078,448,756,877,459,
673,406,442,285,694,763,233,264,683,928,391,853,780,787,955,224,195,744,858,
910,970,468,893,735,053,420,788,158,255,489,504,970,699,158,610,918,523,827,
586,225,135,012,496,335,128,762,216,020,087,043,478,474,767,004,185,759,502,
459,616,899,833,110,178,730,021,199,697,212,908,604,917,865,035,670,580,786,
087,148,490,737,260,514,286,569,506,135,484,699,541,145,349,586,700,507,584,
278,110,221,680,090,103,376,995,128,765,273,605,451,783,156,010,239,828,860,
516,685,864,472,138,125,723,856,960,427,204,784,686,622,418,996,650,248,437,
074,572,358,079,101,450,263,433,174,221,992,874,344,209,140,582,888,571,193,
161,431,385,258,238,038,371,018,516,460,580,301,553,263,490,845,873,167,772,
016,595,616,967,693,071,632,229,812,262,243,250,757,141,028,235,384,193,625,
993,625,381,280,528,502,845,421,575,404,994,773,639,457,174,877,521,904,419,
503,104,284,913,381,200,309,162,949,261,570,334,764,627,612,455,121,627,929,
027,352,037,190,376,910,716,412,501,732,148,911,377,065,865,579,243,094,188,
697,297,301,622,015,719,077,578,182,042,138,373,920,028,785,530,727,318,722,
573,098,355,258,399,100,140,321,520,853,294,950,524,399,123,548,570,598,086,
113,869,649,249,423,916,158,776,699,918,473,262,846,275,023,260,790,522,781,
030,139,901,712,298,789,877,792,230,068,949,530,628,764,078,671,442,132,758,
294,273,654,109,664,884,605,751,349,617,110,478,291,720,883,404,406,842,740,
927,703,173,608,266,928,396,276,921,212,672,008,873,013,644,662,553,630,843,
590,781,470,232,898,276,551,472,201,013,851,376,642,698,486,277,925,932,815,
821,126,693,607,071,394,174,958,170,191,863,840,667,433,236,607,921,803,554,
631,162,450,631,909,905,699,605,024,025,505,165,519,734,963,638,729,277,057,
642,110,618,166,009,037,328,366,900,852,141,998,977,497,754,612,677,388,742,
536,869,891,296,488,809,439,263,699,026,949,834,892,758,796,998,986,406,740,
619,848,612,875,289,769,815,412,187,569,343,771,253,321,865,926,019,836,316,
160,961,848,093,256,315,783,449,995,291,153,489,186,025,959,577,867,161,220,
836,667,534,755,513,478,900,632,787,144,016,155,683,567,234,028,215,819,853,
026,420,337,840,673,153,409,627,754,893,962,611,722,495,800,072,509,022,601,
335,237,836,199,596,018,511,451,793,206,761,770,098,202,300,080,949,251,372,
586,817,163,403,156,797,433,251,897,850,786,324,775,161,873,137,450,990,877,
968,051,342,100,728,525,387,441,301,880,872,436,101,117,758,901,243,750,340,
747,649,205,752,471,720,323,327,867,708,982,002,000,220,026,410,532,103,093,
495,476,937,402,442,326,968,969,962,399,285,109,461,027,564,390,784,134,396,
578,945,069,367,546,508,285,853,196,572,771,949,437,051,945,165,865,822,507,
617,164,701,773,128,124,021,696,111,318,350,091,686,719,326,142,045,435,152,
483,268,025,695,882,131,489,749,580,267,762,012,499,334,790,173,073,515,011,
518,270,862,601,309,224,000,473,105,093,675,647,544,117,047,402,080,527,090,
842,344,958,937,064,348,500,054,565,070,352,001,768,082,829,252,353,753,688,
860,609,289,743,883,398,740,544,327,602,739,801,663,198,112,246,101,530,621,
809,710,319,240,328,792,999,895,117,921,608,002,381,898,295,619,916,322,651,
706,101,133,277,813,397,216,061,366,351,331,737,663,334,416,203,957,917,922,
928,400,102,113,608,148,334,698,568,344,260,519,025,607,592,953,646,094,344,
771,349,219,544,094,920,836,815,207,678,608,230,751,449,541,834,353,208,999,
061,911,735,742,454,061,328,775,876,008,677,889,911,328,224,623,845,142,960,
515,060,768,799,951,419,824,147,875,696,637,181,281,367,970,800,236,768,609,
176,135,440,104,717,707,637,558,193,220,757,848,663,911,817,166,944,253,533,
059,710,114,787,216,095,806,956,726,690,926,094,854,605,539,338,365,403,031,
095,147,322,883,446,272,948,699,759,022,721,998,422,902,409,217,643,482,696,
122,853,105,644,472,227,006,341,370,342,542,406,645,314,272,717,075,793,497,
578,629,617,262,782,031,282,880,420,122,058,701,480,784,631,298,861,690,544,
834,798,868,930,948,185,067,207,572,777,056,350,833,278,089,750,698,415,934,
197,560,611,913,652,095,825,353,014,048,906,967,244,244,203,244,942,583,595,
412,314,315,509,325,292,777,489,312,780,535,196,297,786,952,954,259,549,285,
811,763,119,142,757,491,089,790,138,933,326,605,095,674,319,632,520,937,761,
872,276,316,377,499,545,567,413,002,089,222,331,900,541,538,497,485,648,782,
401,280,690,204,726,889,050,602,757,478,160,096,378,586,449,060,957,110,059,
394,975,037,009,024,850,678,490,058,529,450,055,052,007,910,473,248,713,148,
367,758,649,844,403,815,967,305,357,285,934,976,561,647,240,835,724,485,807,
761,589,576,476,727,746,475,893,688,068,763,098,939,155,968,372,126,060,412,
782,784,471,351,573,635,128,075,983,660,203,180,326,613,265,286,335,754,556,
074,269,446,848,131,489,177,822,775,256,964,528,199,320,295,137,559,185,252,
423,960,676,799,334,414,136,953,130,701,670,906,738,091,272,477,089,743,984,
345,655,288,462,286,393,253,561,254,479,992,650,219,001,281,127,430,815,072,
869,470,147,247,365,723,031,437,064,357,942,190,588,039,205,573,891,506,188,
009,145,769,580,839,079,657,848,282,448,495,797,850,533,569,358,825,866,003,
528,211,702,476,157,062,119,139,656,354,314,930,006,827,327,432,511,413,942,
929,636,413,912,413,021,083,657,770,373,707,580,464,607,295,561,243,342,378,
977,103,179,360,402,589,432,157,361,294,301,861,811,973,166,734,095,278,760,
729,709,717,732,997,728,370,045,845,040,535,668,104,470,299,752,504,401,334,
052,087,056,496,783,249,334,519,844,097,241,424,705,070,683,290,809,939,612,
665,924,701,210,932,121,628,273,013,424,035,810,862,836,028,611,230,485,366,
559,539,103,457,550,664,711,992,816,131,293,874,172,314,204,675,550,408,464,
514,133,513,691,017,839,388,168,170,814,232,139,306,037,483,764,013,284,218,
971,884,319,868,169,923,618,679,194,990,000,919,620,355,294,907,322,027,579,
783,789,081,636,574,692,322,044,395,546,226,022,064,386,000,824,404,146,809,
784,572,009,795,859,552,296,869,639,803,978,572,990,287,820,513,697,990,022,
902,560,142,770,484,711,665,260,087,108,236,423,125,766,243,484,665,830,713,
635,971,649,912,137,670,273,141,059,958,748,586,440,994,957,071,049,733,900,
327,240,543,757,044,136,640,889,997,914,513,208,324,942,669,072,572,809,056,
299,562,426,308,286,872,558,340,426,890,932,832,677,929,727,092,633,749,606,
745,633,852,867,475,972,283,508,516,009,371,022,149,868,506,498,766,433,218,
456,996,713,082,149,134,510,994,855,330,182,858,583,878,203,086,024,575,989,
177,756,385,206,944,023,338,479,223,543,354,714,101,618,474,549,266,385,526,
336,631,331,037,511,205,212,701,463,703,494,764,483,969,479,237,931,797,685,
087,240,598,631,642,941,396,530,669,418,264,549,126,102,955,903,384,394,629,
330,923,956,973,350,377,283,939,020,323,398,729,807,720,173,780,408,447,621,
890,068,459,023,501,928,294,980,700,536,058,020,900,939,042,892,851,270,282,
635,852,841,759,895,837,458,451,847,486,469,872,671,511,214,633,906,479,840,
596,435,873,826,009,187,768,883,007,631,228,020,541,568,608,178,234,569,097,
927,211,279,135,604,637,092,017,612,124,528,579,305,358,525,667,524,638,662,
736,605,864,474,095,303,146,282,365,377,879,697,789,910,021,946,006,989,760,
827,716,064,844,093,821,705,473,905,400,602,965,406,394,159,439,093,892,424,
278,235,798,394,339,308,477,544,801,825,582,807,314,598,916,165,024,231,254,
969,917,230,699,910,385,968,837,806,245,171,320,855,330,292,444,138,025,555,
423,578,086,608,660,178,072,150,740,474,216,843,021,356,687,224,981,065,172,
571,488,709,590,211,798,503,905,193,482,423,342,304,947,179,151,498,356,197,
239,691,839,622,304,140,791,620,535,609,682,299,182,524,174,414,747,796,441,
639,380,083,654,974,655,883,947,571,771,932,424,750,995,894,763,872,978,429,
743,689,085,105,034,539,448,372,012,675,079,978,583,274,385,428,761,690,639,
952,431,400,213,252,842,657,084,343,474,860,779,835,988,044,747,700,433,709,
088,805,889,062,194,217,724,875,734,716,757,554,953,455,510,987,044,504,599,
354,655,141,978,880,440,454,676,474,792,805,915,534,384,131,292,536,405,643,
496,241,670,481,421,672,644,063,439,956,377,815,251,837,798,830,993,708,423,
002,232,432,136,970,207,480,549,331,105,614,802,013,946,987,675,690,832,612,
647,870,410,592,747,276,417,695,945,220,437,136,222,430,661,832,548,584,615,
993,598,095,404,150,083,028,506,784,245,298,629,896,905,762,361,861,454,467,
462,022,442,079,023,783,737,560,963,598,538,354,555,508,725,607,714,113,966,
909,601,524,525,078,725,571,735,219,427,539,347,698,717,519,548,807,465,308,
655,945,331,041,091,541,177,040,237,479,216,542,233,772,725,900,655,891,096,
972,421,660,819,158,908,632,789,180,340,564,331,972,715,169,153,903,109,482,
893,025,944,034,089,281,129,978,836,586,860,508,917,349,246,397,240,462,395,
562,029,921,873,489,046,259,647,091,645,189,490,811,439,121,349,304,191,378,
535,425,953,023,606,858,477,610,125,984,962,973,104,231,055,883,357,789,568,
091,138,932,822,461,364,757,770,839,726,901,768,797,521,710,105,077,582,480,
875,391,003,282,441,424,939,255,916,668,814,196,096,397,438,746,065,726,679,
834,569,727,129,085,385,653,261,249,083,914,806,289,848,676,414,588,344,604,
343,722,732,929,994,931,961,515,821,089,692,346,752,285,437,695,301,422,540,
370,989,869,022,431,116,760,521,050,393,835,107,611,556,459,921,940,505,299,
719,785,641,120,025,007,886,001,022,938,540,894,355,805,160,274,719,499,777,
143,013,680,960,420,664,962,594,550,589,386,491,911,483,065,245,463,802,837,
311,514,016,480,722,579,335,576,310,017,987,264,532,249,478,965,783,782,664,
992,762,853,682,869,817,307,410,192,334,551,535,231,626,281,895,426,634,483,
685,971,782,494,620,429,188,105,871,151,793,332,869,776,299,776,737,830,720,
504,646,404,297,805,458,256,247,924,305,894,803,731,416,288,767,796,070,192,
460,077,072,586,999,861,627,597,956,497,585,898,567,665,188,823,690,763,216,
566,498,446,247,623,311,460,571,123,184,580,422,669,479,811,987,457,203,839,
201,469,248,060,523,790,549,108,947,224,263,590,706,361,128,635,758,990,524,
865,868,014,619,643,713,171,040,968,828,635,319,198,213,612,217,784,672,830,
290,144,424,739,918,326,152,353,743,607,339,534,233,866,954,163,155,296,943,
128,514,273,915,437,657,314,512,970,224,269,448,370,348,448,302,164,145,729,
750,962,617,678,039,402,977,174,946,638,306,708,840,585,908,308,395,289,991,
423,958,352,066,599,445,266,971,111,091,621,787,639,472,569,957,049,110,129,
629,324,537,786,422,446,080,764,666,296,983,284,507,671,464,862,774,834,440,
582,282,690,768,155,414,186,705,631,539,579,744,536,703,131,030,622,741,383,
915,457,953,702,454,568,870,197,974,586,112,784,416,180,875,954,411,208,120,
992,829,306,772,454,022,082,612,536,213,437,434,715,534,164,048,002,380,875,
603,278,992,633,235,422,421,229,316,179,493,530,337,691,899,298,520,080,399,
127,073,823,567,263,113,525,817,323,632,596,045,369,342,134,187,657,311,517,
645,996,069,765,241,811,217,389,929,414,464,560,469,888,886,195,944,664,398,
629,634,948,600,018,177,996,774,237,440,772,216,942,181,573,070,560,516,004,
520,443,485,954,810,182,971,252,749,316,649,516,359,166,504,408,356,580,284,
156,170,285,111,547,565,369,710,358,320,789,723,142,782,998,909,982,611,356,
897,405,426,608,068,208,295,034,945,306,154,578,751,065,755,089,424,320,641,
875,935,524,894,840,067,851,291,649,125,839,435,242,191,826,982,013,524,236,
415,397,736,870,929,099,161,043,697,401,375,693,973,480,108,605,290,691,499,
448,718,861,123,156,777,337,026,516,514,352,105,190,052,925,800,143,349,409,
625,840,163,361,239,353,705,237,276,135,737,322,615,267,769,941,392,035,411,
758,411,315,957,752,787,318,818,054,114,458,411,931,962,866,820,591,055,280,
556,322,867,612,474,715,293,446,182,166,712,866,062,094,588,715,186,726,461,
366,367,469,523,592,480,658,851,473,276,257,201,700,935,224,512,340,715,914,
093,639,468,241,993,394,060,018,225,533,212,245,191,725,768,582,176,516,372,
621,479,396,872,063,731,134,380,166,777,148,329,920,214,600,108,537,879,532,
132,410,227,644,697,012,893,144,485,996,913,405,596,556,460,491,979,259,545,
396,877,393,279,765,546,133,779,379,164,576,050,595,627,119,388,610,226,328,
987,407,055,163,340,737,001,847,700,409,102,868,915,140,142,620,383,132,213,
094,934,709,236,596,583,850,246,232,569,963,902,184,725,951,667,584,793,732,
099,168,781,815,190,697,433,720,088,656,788,117,725,282,031,211,016,238,956,
425,909,436,122,931,078,794,723,153,895,147,241,443,378,353,672,238,181,032,
477,438,192,775,155,915,880,442,276,173,716,387,315,106,229,047,554,310,855,
084,709,705,484,789,333,900,317,267,020,761,052,278,352,151,547,723,724,628,
589,588,093,018,147,284,137,194,325,793,868,738,407,021,732,278,483,516,118,
296,909,951,026,143,061,950,529,227,159,198,673,599,947,983,759,206,724,180,
963,024,652,326,829,178,724,961,926,489,080,379,064,138,147,528,971,573,414,
324,719,218,405,600,854,410,774,679,297,125,631,906,510,128,998,662,968,307,
810,597,125,508,406,714,080,781,132,343,906,847,291,625,342,721,472,458,992,
931,771,558,590,592,767,231,268,418,743,588,530,079,658,649,694,195,444,216,
487,713,791,493,917,725,358,974,555,224,489,035,377,350,750,214,928,138,340,
709,977,940,247,773,914,950,349,669,097,213,389,163,854,012,215,584,194,030,
769,115,440,595,989,926,026,995,904,749,297,482,468,332,954,035,323,831,785,
064,794,383,115,514,291,750,030,906,583,650,449,275,064,523,619,105,257,641,
094,394,399,688,527,726,049,759,911,663,666,393,368,453,955,200,023,289,623,
865,967,344,035,031,371,266,127,623,764,849,946,040,858,400,573,653,378,498,
887,744,610,672,822,288,318,478,120,620,630,553,614,587,220,564,306,985,261,
737,760,276,008,613,522,297,153,970,978,241,590,377,716,239,826,218,748,200,
613,241,271,636,678,657,589,171,591,493,447,908,789,009,809,620,013,433,053,
476,039,319,331,771,291,632,647,926,854,040,652,607,437,368,442,402,100,133,
821,280,237,980,532,843,651,752,009,060,889,850,904,651,097,375,176,218,474,
321,903,721,774,155,648,516,562,986,648,063,102,246,953,280,813,070,941,446,
169,808,903,490,703,206,987,535,924,037,746,417,936,005,403,924,814,621,348,
580,514,546,082,813,863,916,931,991,238,711,072,121,240,441,866,792,787,172,
319,935,695,574,256,395,041,193,960,928,197,465,186,752,067,004,459,206,571,
446,587,354,853,421,876,212,771,801,127,095,712,032,243,381,640,933,401,742,
580,067,985,452,090,619,483,188,587,444,286,813,577,157,381,898,494,296,103,
646,984,615,179,068,432,399,640,889,579,845,684,827,777,625,947,213,823,413,
369,858,188,599,277,572,880,644,607,137,316,229,107,125,555,730,856,030,374,
693,645,453,750,264,617,615,472,188,852,645,313,979,492,814,574,057,499,943,
969,324,983,764,026,740,718,252,987,587,343,579,915,767,954,439,213,690,059,
192,552,114,182,964,767,986,114,488,572,719,534,081,846,816,821,218,947,844,
762,831,350,935,550,244,106,909,948,443,396,617,116,788,179,515,624,992,737,
650,826,583,711,127,871,218,776,895,721,835,842,710,203,255,345,996,928,588,
988,149,133,088,679,759,613,430,342,637,636,904,063,183,434,593,581,391,592,
321,015,089,588,109,086,297,288,521,711,722,367,134,135,230,360,029,305,452,
226,643,348,972,712,084,152,582,426,203,338,772,571,494,790,756,257,697,212,
260,255,437,251,363,477,483,187,658,389,603,412,548,941,695,845,897,421,599,
100,569,894,596,476,694,336,652,012,253,940,012,344,924,918,442,906,455,813,
966,470,642,614,261,578,044,336,929,898,450,907,970,993,708,426,135,594,209,
068,506,719,405,870,475,840,105,308,590,867,496,212,691,140,328,838,267,227,
097,060,459,657,265,780,343,224,504,420,469,768,965,741,534,503,203,109,371,
706,939,596,345,150,564,192,208,442,980,038,534,471,347,764,041,512,549,169,
021,402,544,215,890,421,902,902,389,464,189,375,276,246,099,708,097,241,970,
685,728,175,850,351,723,522,664,871,319,799,175,540,474,641,747,130,498,979,
794,486,429,736,958,478,933,660,436,071,063,582,064,213,625,167,639,170,396,
842,613,987,116,714,031,722,961,763,653,337,837,153,684,124,582,499,385,035,
510,670,706,409,923,213,046,441,937,662,135,053,466,885,740,808,046,958,609,
608,149,395,382,539,420,689,495,145,739,955,230,615,452,387,696,002,408,740,
313,032,957,793,090,959,892,412,399,130,819,465,417,537,140,811,152,917,341,
188,989,207,236,852,969,449,634,185,222,656,113,334,559,592,211,514,990,498,
282,407,336,171,530,759,125,461,182,853,421,465,878,216,385,017,956,113,550,
131,022,849,668,087,719,500,394,631,908,278,635,206,914,029,331,297,630,451,
092,626,258,305,778,765,250,801,030,203,902,942,778,604,702,537,276,253,927,
911,387,511,371,420,814,449,166,830,381,317,286,049,974,569,752,997,073,519,
599,505,949,397,387,878,896,752,233,155,414,882,857,069,134,869,411,365,064,
951,411,359,668,486,422,269,221,457,882,677,703,239,778,576,020,576,737,509,
558,611,560,835,121,935,290,477,759,923,608,159,761,646,400,332,810,520,623,
128,436,654,132,526,860,809,905,405,219,411,570,455,598,903,919,217,499,612,
076,926,303,058,990,163,204,409,415,823,507,418,190,321,718,266,030,353,842,
925,201,331,281,029,443,302,616,370,186,417,378,666,392,787,346,179,488,923,
944,943,947,279,433,276,780,510,098,012,202,538,760,702,482,842,863,192,609,
503,614,934,691,172,070,092,262,097,789,166,541,021,360,316,542,607,776,898,
290,638,645,449,227,286,630,389,974,813,632,965,035,231,306,787,783,060,040,
613,338,811,254,481,257,725,134,342,537,431,147,942,577,337,839,185,243,551,
815,102,605,564,107,697,755,399,274,319,304,390,838,563,887,068,763,518,778,
109,027,257,097,794,764,527,701,788,581,164,558,845,867,363,353,020,578,651,
611,706,841,425,685,148,677,107,304,530,777,619,439,969,966,329,115,744,241,
504,952,617,790,295,827,088,877,682,886,384,435,973,445,461,473,535,915,630,
401,115,271,612,947,895,419,166,471,775,958,225,889,668,493,003,725,021,132,
892,257,395,721,344,855,852,710,818,340,058,434,292,745,246,881,321,521,865,
618,416,595,861,322,420,263,623,757,017,102,449,419,002,754,790,709,932,102,
771,279,561,200,366,109,246,119,709,559,255,082,317,091,397,737,071,450,734,
740,891,063,843,647,564,740,228,245,823,987,801,260,025,642,792,749,733,545,
320,789,128,425,529,580,975,670,630,829,477,667,254,172,297,469,282,916,186,
686,961,622,417,679,958,960,868,013,228,757,899,545,929,981,833,898,356,299,
650,774,170,665,852,400,734,843,963,968,483,226,252,485,023,906,707,534,405,
525,936,433,958,463,703,873,408,519,879,920,407,863,119,578,223,434,922,063,
443,858,587,733,130,367,232,136,418,455,634,389,701,768,862,722,173,509,970,
009,732,835,400,503,822,987,515,577,346,012,674,478,359,009,792,573,414,943,
837,857,342,833,370,467,714,167,719,414,553,961,770,110,676,682,924,545,748,
101,712,370,321,116,607,404,670,979,734,322,587,244,872,132,466,733,434,870,
948,572,246,993,942,653,452,487,858,401,740,161,747,602,802,505,714,863,219,
541,227,502,713,328,073,788,755,526,044,815,568,152,745,622,242,833,076,714,
901,006,207,914,777,823,922,183,133,166,816,727,160,481,045,691,684,701,485,
865,032,327,450,285,050,437,185,981,555,467,011,243,343,560,121,727,859,627,
817,485,788,598,238,656,590,743,311,255,037,929,473,202,247,063,397,528,573,
049,440,890,812,918,018,623,910,306,189,633,428,984,118,630,926,298,067,179,
656,203,431,221,327,680,455,759,331,280,698,661,441,019,621,087,187,618,329,
133,448,749,415,163,869,035,666,149,637,799,321,512,807,253,388,345,190,746,
080,288,571,418,410,836,343,385,519,559,851,780,393,258,535,988,047,062,880,
802,945,799,470,980,876,245,151,178,558,935,281,569,684,864,194,193,635,183,
478,313,786,367,346,856,284,980,751,771,783,504,605,631,609,064,338,866,681,
442,171,260,321,882,623,605,226,946,399,834,416,812,147,284,607,325,450,333,
857,624,736,982,193,864,461,346,814,277,007,990,138,725,331,113,568,542,232,
975,784,441,248,267,787,978,078,019,975,719,370,719,409,029,285,368,093,444,
870,945,286,007,762,875,278,466,422,148,237,863,932,491,113,079,760,561,888,
353,766,033,713,043,131,616,745,306,790,708,990,784,781,367,264,672,126,338,
358,690,001,845,995,544,392,233,111,166,803,761,854,356,838,303,893,785,387,
848,545,655,556,712,379,720,579,111,598,788,921,408,480,390,391,038,859,733,
137,974,549,257,714,947,048,663,019,580,370,746,152,287,649,393,032,843,251,
263,848,053,807,285,873,276,018,944,900,729,130,643,416,118,018,751,815,628,
124,950,771,422,605,779,367,248,198,512,170,685,908,644,445,210,916,514,985,
503,678,016,339,221,810,243,092,243,228,411,484,137,684,984,413,541,019,712,
343,595,325,871,727,749,518,123,178,726,769,252,641,628,193,563,832,749,712,
042,010,232,129,780,978,751,536,171,695,890,316,751,887,278,078,111,324,034,
445,813,537,833,355,870,555,686,219,983,415,052,302,970,392,763,379,668,975,
196,152,140,792,705,475,613,925,345,686,935,982,820,859,409,387,676,123,609,
063,457,040,761,828,422,480,357,789,746,316,455,553,776,084,243,472,239,843,
789,425,780,994,044,333,791,493,187,055,929,027,875,424,281,633,603,595,640,
119,305,470,309,472,674,646,659,292,656,899,466,376,733,845,954,870,751,456,
592,085,465,779,573,309,253,202,402,872,088,502,606,715,163,484,049,688,687,
646,714,392,978,346,412,962,401,081,050,383,788,954,477,796,300,833,909,073,
099,613,771,680,403,716,627,154,882,118,778,434,948,859,297,849,677,992,535,
142,744,373,492,419,093,760,959,549,332,002,651,300,501,803,278,934,823,002,
552,555,923,242,472,103,474,546,651,320,131,932,908,569,464,865,756,403,165,
499,711,236,295,244,936,630,725,100,608,128,264,295,410,212,006,293,719,513,
117,735,214,999,427,863,798,371,836,746,959,852,944,866,504,043,874,395,385,
225,307,886,466,103,323,752,193,224,661,013,909,836,690,830,094,423,156,938,
000,732,655,922,838,609,497,663,326,595,300,671,513,823,904,539,046,565,623,
102,370,648,190,385,280,406,133,721,024,290,842,736,761,210,719,060,338,215,
181,945,303,458,125,477,219,006,397,923,667,443,956,039,829,061,571,366,605,
890,879,914,355,503,757,968,992,045,520,321,101,399,479,083,874,550,015,948,
482,732,045,470,432,057,226,339,126,195,702,767,112,647,481,751,584,343,742,
069,753,057,716,463,235,495,662,697,724,643,824,798,135,379,078,072,365,769,
628,416,296,455,121,313,213,562,469,881,074,977,289,822,462,635,611,314,807,
373,796,251,620,461,566,798,298,969,707,385,935,592,871,258,417,766,797,251,
831,321,857,726,200,198,326,610,247,047,957,906,385,045,545,299,009,667,842,
172,244,695,005,678,213,444,465,356,522,961,912,808,269,235,051,543,615,053,
402,409,867,394,052,506,797,335,954,036,097,548,349,208,762,874,501,885,706,
063,938,973,675,483,116,345,754,762,936,584,740,712,688,561,235,353,278,566,
669,004,788,276,752,124,488,184,244,388,869,850,667,115,812,972,274,040,055,
388,163,004,500,611,674,648,802,023,633,827,035,087,439,885,573,751,817,491,
791,430,069,218,506,348,488,483,578,317,314,780,526,353,868,803,791,600,194,
587,321,712,578,128,421,028,787,366,406,163,778,435,389,366,686,540,920,142,
875,500,935,736,077,284,456,109,938,357,243,239,369,985,563,899,051,053,211,
839,739,693,322,116,756,689,483,505,068,269,120,346,899,148,507,487,559,842,
131,818,129,684,843,758,606,995,483,887,773,996,840,686,842,412,406,172,894,
797,830,738,573,856,281,998,729,596,356,445,387,310,499,103,174,814,951,017,
607,129,837,501,017,025,666,654,320,988,334,867,088,345,009,633,555,472,643,
952,827,792,402,856,939,182,726,558,234,922,272,950,269,647,518,791,500,996,
296,770,328,699,505,041,320,521,556,400,561,045,909,564,817,130,619,144,286,
078,560,059,877,447,670,524,457,792,852,867,174,891,185,463,600,019,823,724,
544,467,748,296,149,327,964,219,274,998,551,356,480,404,142,912,097,898,240,
483,355,373,157,807,213,965,695,241,658,378,226,257,083,728,877,747,035,588,
607,664,935,516,070,657,611,126,000,770,034,857,356,886,130,763,281,922,122,
017,531,882,873,367,132,943,092,403,066,581,017,857,251,296,925,213,755,441,
321,299,928,591,211,693,149,526,252,499,793,573,132,250,454,612,039,985,983,
037,977,084,134,186,033,571,827,583,540,439,581,679,092,472,657,321,530,702,
954,310,413,702,039,259,984,873,069,295,320,211,699,070,978,067,184,346,154,
432,275,135,094,225,927,931,497,271,747,405,777,321,870,519,708,064,433,593,
114,773,046,512,018,088,003,551,480,345,579,508,027,552,151,931,772,540,294,
047,771,297,871,441,902,201,836,425,772,791,155,016,123,731,084,723,740,510,
458,433,943,296,903,692,235,191,149,934,480,746,122,483,738,737,486,350,701,
890,440,651,839,788,451,286,926,710,766,092,348,918,360,632,774,238,721,817,
252,482,787,435,289,761,129,846,483,383,588,105,388,053,086,735,647,778,013,
233,621,894,055,507,127,279,962,054,370,665,591,388,320,725,683,520,240,695,
182,506,226,693,512,832,225,936,040,339,065,108,898,461,626,950,873,053,588,
327,854,132,573,495,997,338,290,334,383,388,545,131,718,098,541,314,087,029,
018,135,726,143,563,151,208,810,231,763,181,065,962,586,897,612,499,267,255,
288,185,767,184,137,928,028,976,308,056,457,620,369,236,837,715,603,871,334,
506,705,454,734,959,259,409,331,520,935,333,814,467,311,245,801,475,608,744,
396,983,416,786,111,830,625,991,894,729,696,941,604,777,311,253,830,801,094,
198,488,219,651,823,672,961,320,129,830,409,501,281,478,924,059,868,883,998,
850,500,838,007,939,911,623,911,115,067,746,837,021,470,880,862,787,434,170,
029,079,644,324,934,410,595,026,173,781,788,707,336,621,367,702,438,441,714,
280,522,490,958,339,105,723,770,836,525,344,191,782,569,959,997,949,222,009,
599,882,041,497,142,439,131,022,905,253,130,849,656,536,263,386,296,048,591,
015,775,398,685,716,098,061,799,319,684,325,453,973,309,006,241,462,159,820,
236,330,616,262,453,289,669,925,184,150,479,440,371,728,904,772,518,502,970,
452,643,990,097,295,503,455,266,458,874,668,241,105,055,055,608,207,842,860,
798,926,076,195,892,465,625,030,561,824,141,002,540,976,176,108,139,730,860,
462,472,600,168,246,702,540,132,174,654,513,965,557,782,914,292,640,575,129,
014,712,091,219,133,516,694,185,488,794,134,388,766,119,558,134,925,084,784,
328,401,593,429,413,257,509,492,010,744,090,344,901,274,834,457,235,847,453,
493,098,395,162,135,458,739,069,034,099,221,090,145,749,248,094,859,731,834,
704,133,432,733,695,247,573,777,876,447,079,972,478,185,546,273,069,139,063,
506,206,555,208,561,321,014,016,745,006,786,906,214,312,612,215,476,556,455,
242,278,618,498,257,592,648,705,810,394,378,531,331,094,301,139,398,373,106,
972,839,869,214,709,785,179,434,581,376,285,598,664,091,783,306,274,474,472,
457,080,151,505,535,812,862,992,338,513,473,721,851,163,309,308,089,066,101,
907,475,166,052,663,282,628,419,092,588,966,491,538,717,045,036,198,953,839,
632,082,307,816,053,219,144,613,281,466,581,425,743,495,824,315,092,062,444,
591,270,556,104,830,533,672,649,419,047,864,612,641,712,243,155,763,722,959,
322,738,552,767,206,421,009,151,830,621,963,227,079,368,932,811,660,229,151,
101,090,244,850,575,926,976,077,490,861,265,160,022,177,922,360,720,232,047,
985,314,839,322,266,818,646,521,704,044,556,431,479,593,329,292,636,704,774,
851,723,450,048,011,979,542,428,453,705,773,327,163,437,936,741,807,037,174,
258,951,567,475,662,686,058,280,286,660,464,751,718,167,959,438,322,292,642,
160,788,050,451,098,684,130,839,162,401,677,949,595,539,678,118,987,978,628,
413,803,667,630,154,383,943,658,203,149,419,352,853,459,314,702,382,067,121,
070,570,782,679,949,389,459,270,632,180,627,524,612,516,759,927,157,125,416,
852,461,726,752,417,152,502,653,384,307,978,988,126,514,897,495,343,126,084,
298,124,937,633,214,546,715,503,271,348,421,697,149,179,879,630,422,892,693,
639,304,770,897,292,824,373,211,350,372,861,342,651,401,912,010,497,868,405,
448,203,345,605,354,361,611,309,440,444,954,373,139,805,759,510,163,286,709,
539,807,077,619,368,791,506,902,848,876,324,453,083,877,324,842,918,202,662,
955,716,021,689,674,990,447,588,339,644,636,665,666,181,615,690,236,240,836,
058,792,631,408,429,132,075,620,456,647,392,379,677,608,229,125,894,189,103,
184,242,534,098,468,967,099,026,637,276,212,424,094,959,282,924,471,385,688,
259,349,337,854,159,497,083,859,817,111,422,123,523,170,862,529,904,699,445,
921,069,142,949,994,804,074,202,877,288,452,916,174,539,962,196,140,114,501,
838,654,239,029,957,307,304,210,979,116,206,935,542,545,199,176,948,605,149,
190,196,911,790,302,002,589,189,031,394,937,155,126,813,187,239,896,616,603,
305,786,726,817,620,545,406,487,780,455,204,659,975,885,425,836,196,200,650,
007,480,213,231,718,542,146,621,095,955,465,163,831,049,950,866,812,874,011,
112,746,364,145,414,376,312,284,620,347,045,225,934,725,820,511,801,493,758,
484,687,859,567,111,413,894,855,359,673,960,166,513,883,305,535,035,560,884,
915,789,272,088,393,253,524,799,648,468,031,618,623,645,792,640,916,947,221,
240,621,501,458,659,262,641,173,683,628,162,632,109,739,700,424,487,576,525,
778,811,109,366,713,181,586,122,305,513,597,507,630,841,443,268,383,097,381,
967,473,106,466,371,096,292,516,999,079,289,943,256,245,797,816,897,683,205,
167,968,855,374,523,763,996,310,850,925,633,942,670,742,739,727,697,455,467,
412,327,569,254,392,793,104,736,477,708,543,926,568,471,363,585,758,073,485,
960,109,888,602,194,453,250,419,258,964,792,043,095,840,903,170,925,887,093,
486,002,239,451,125,738,311,126,479,169,421,761,622,204,888,053,125,280,503,
989,849,471,968,026,630,590,146,365,574,243,149,275,809,981,160,565,235,875,
855,602,138,401,710,401,030,373,019,200,245,463,761,688,869,120,569,066,928,
361,940,844,651,716,049,267,066,855,459,582,399,862,307,772,160,838,212,474,
901,918,643,100,054,233,707,660,635,615,824,388,979,654,374,063,133,615,360,
112,182,956,892,778,316,955,409,036,646,100,933,382,017,189,301,485,150,925,
565,211,573,291,413,191,644,985,241,541,038,097,322,695,078,478,132,999,772,
589,821,554,634,384,372,367,807,612,369,387,880,357,841,536,005,372,160,659,
611,561,600,181,658,137,573,282,218,722,053,559,971,923,542,556,452,134,816,
944,644,821,046,576,849,986,103,996,746,026,671,523,896,634,615,164,990,382,
451,659,266,119,599,781,354,584,835,602,018,740,248,373,838,239,721,510,833,
980,543,941,084,933,673,865,650,424,086,070,660,335,451,341,746,268,935,185,
616,647,428,842,885,215,376,782,307,253,560,370,809,395,557,409,759,822,166,
555,966,549,711,040,328,353,554,518,472,426,179,645,603,317,829,024,623,323,
087,740,741,788,948,268,082,024,568,001,733,414,870,448,173,044,325,355,694,
474,007,282,440,678,033,363,379,546,082,402,816,521,415,698,436,523,607,609,
266,544,199,648,458,843,527,934,997,879,259,381,166,642,795,386,946,659,310,
012,921,104,429,253,980,054,790,003,704,111,751,607,084,068,360,863,333,950,
003,202,739,887,225,304,904,018,317,381,648,188,701,992,821,603,710,893,610,
797,209,056,970,615,099,693,667,572,300,825,506,835,146,172,571,320,376,292,
323,079,649,100,285,360,336,301,326,397,480,964,828,905,374,273,134,193,582,
632,211,737,016,257,231,675,522,618,535,541,686,544,181,745,330,235,584,850,
332,640,889,208,749,772,605,611,152,828,031,527,994,923,389,711,100,713,314,
187,364,081,376,354,831,279,614,154,284,775,724,394,749,292,319,601,855,503,
233,933,140,084,149,985,481,989,068,094,981,687,636,655,513,121,150,349,637,
368,795,924,460,078,616,318,644,799,002,616,084,684,407,301,811,433,438,483,
652,800,482,857,982,998,431,091,771,958,681,532,360,752,991,163,183,582,222,
223,999,060,499,382,262,523,215,469,139,364,558,970,415,619,394,546,600,495,
706,845,996,726,402,680,322,277,614,975,568,334,702,846,356,655,768,962,895,
325,522,234,744,683,204,760,639,450,845,304,476,147,086,268,844,391,572,341,
103,131,285,577,041,917,880,709,464,851,226,347,808,361,889,866,336,408,882,
381,041,199,427,766,956,636,837,826,901,544,112,609,062,058,132,967,718,523,
189,546,994,067,863,160,688,044,524,352,941,884,794,778,189,091,068,688,722,
013,195,384,786,866,265,788,903,612,947,391,099,721,938,850,607,955,560,932,
009,449,943,187,750,822,507,143,275,773,691,989,738,921,899,278,901,712,657,
712,439,588,953,196,273,885,514,824,392,244,368,546,557,409,544,403,225,223,
960,897,146,815,294,238,323,770,991,751,859,461,567,412,044,561,480,225,668,
108,031,043,140,586,060,707,972,169,628,910,321,128,686,346,775,514,563,153,
747,167,389,734,382,306,721,606,654,499,141,581,546,764,205,452,206,478,434,
435,584,426,002,464,426,826,481,883,711,624,548,996,790,918,176,224,790,257,
645,435,671,115,637,486,387,939,567,740,301,778,890,638,928,407,937,480,783,
829,469,673,783,177,849,280,805,579,166,725,535,921,063,771,566,171,748,725,
262,530,093,319,928,013,894,364,116,008,791,173,300,171,434,253,801,899,528,
917,125,091,220,177,649,088,032,290,388,999,486,090,962,669,664,657,491,028,
006,586,592,499,102,811,156,134,688,378,701,560,607,837,531,605,680,937,845,
863,386,516,265,890,957,323,044,081,006,947,892,964,948,108,224,400,333,074,
255,032,947,725,637,037,507,720,682,178,137,280,082,844,342,635,892,407,568,
962,846,223,880,291,629,268,696,309,533,970,111,946,622,527,962,705,755,624,
849,241,861,951,392,318,974,138,832,744,054,788,856,594,325,535,499,799,828,
074,544,819,488,928,998,374,806,370,357,936,669,645,523,677,229,814,817,844,
523,593,165,004,571,689,841,757,896,968,089,906,325,380,522,856,395,122,913,
847,521,355,145,927,743,577,781,555,524,336,739,049,669,651,580,857,840,831,
112,996,311,334,068,766,274,958,697,371,305,543,593,438,368,734,267,641,416,
441,442,762,786,583,215,415,026,828,397,853,776,881,717,374,394,609,151,920,
202,337,148,410,564,738,193,754,500,444,566,729,034,045,178,542,612,905,057,
368,206,349,885,151,890,021,021,529,584,078,731,232,825,449,330,966,443,295,
033,895,688,345,688,568,271,869,071,657,825,350,028,167,836,818,176,832,465,
044,472,179,217,393,513,054,994,564,889,060,017,634,444,790,103,093,917,794,
280,393,299,200,512,032,920,088,425,120,393,777,428,891,924,960,444,682,369,
269,410,719,843,716,929,054,506,057,486,074,012,927,193,537,352,068,176,159,
273,084,645,942,225,339,051,990,724,772,275,029,701,900,568,132,905,010,008,
894,617,786,801,176,218,889,614,409,237,208,209,705,835,586,194,558,105,907,
857,586,849,201,469,124,811,534,606,461,545,380,893,773,972,824,528,679,503,
595,312,652,979,631,504,751,999,903,305,030,198,644,736,507,376,311,038,932,
000,368,965,063,102,805,499,093,439,365,168,835,862,487,556,533,219,229,890,
475,941,353,174,129,081,853,796,553,204,254,484,264,963,279,191,647,409,220,
295,975,000,115,331,566,088,343,447,100,936,182,641,427,983,043,536,762,641,
905,033,600,860,489,706,870,270,718,043,262,136,711,667,669,719,256,021,534,
781,913,750,819,533,955,065,693,889,428,830,578,413,197,450,692,241,108,123,
247,470,081,706,741,495,385,420,254,569,912,580,192,164,440,360,833,114,119,
757,777,801,181,082,937,930,659,168,487,184,958,262,651,182,891,144,813,404,
632,137,713,984,387,766,436,417,015,743,403,863,165,924,894,955,613,373,785,
908,305,523,857,561,063,871,130,547,221,675,811,834,691,889,850,773,655,631,
371,803,003,753,509,629,028,853,988,061,296,728,524,027,647,682,865,749,323,
332,960,278,289,727,645,040,010,554,532,781,818,189,142,701,863,141,040,518,
151,318,809,434,448,167,900,748,625,053,883,658,480,354,392,012,848,499,467,
095,919,489,816,101,750,137,786,493,891,083,400,720,775,123,853,475,125,150,
963,485,370,190,472,291,571,345,370,141,148,555,019,703,732,926,748,109,961,
917,315,477,072,009,720,475,690,389,940,290,356,096,965,747,216,201,136,311,
366,218,122,770,980,943,693,161,545,622,101,041,711,118,109,282,065,762,310,
031,076,542,210,772,609,754,119,593,397,258,321,045,287,591,874,080,455,668,
672,655,300,726,463,277,774,388,991,134,727,169,861,773,278,237,771,403,472,
063,254,743,205,493,349,626,475,689,150,257,538,261,668,752,400,545,415,611,
019,636,204,398,834,781,441,071,744,644,436,661,284,259,543,470,929,235,459,
800,783,598,753,139,507,904,412,259,675,907,984,759,047,420,370,839,363,653,
078,134,216,012,629,987,664,262,924,860,109,081,798,096,342,637,778,449,055,
079,975,586,522,739,128,553,840,779,676,976,428,251,624,899,149,401,016,349,
522,285,563,454,519,344,804,558,059,863,447,609,114,159,141,419,558,031,263,
026,423,946,252,030,694,172,177,688,717,083,322,252,525,155,234,410,027,192,
941,463,997,647,633,618,174,743,855,455,971,430,588,601,008,694,959,513,451,
397,294,711,271,374,401,487,876,881,554,688,258,298,694,074,964,692,104,959,
319,899,822,029,502,520,093,167,830,099,018,640,612,744,656,650,532,567,760,
262,905,700,107,868,677,433,518,323,000,892,941,374,036,215,167,557,054,563,
457,525,059,974,715,167,859,489,010,174,449,652,942,270,456,283,281,682,339,
292,461,147,296,837,556,356,485,835,165,664,167,089,122,633,429,194,976,912,
419,094,350,398,241,585,856,490,176,654,160,929,870,918,548,703,110,661,831,
822,665,305,381,295,611,023,281,717,681,666,544,621,475,039,350,243,018,577,
910,993,191,992,080,782,698,509,860,403,048,004,777,595,157,851,773,236,592,
959,465,928,751,942,555,359,272,025,863,647,441,851,777,136,025,280,529,593,
157,133,841,078,563,957,935,032,442,816,989,552,416,553,157,122,083,346,434,
983,411,102,621,834,591,242,159,989,841,835,521,110,953,751,220,796,787,168,
799,142,903,409,167,068,468,641,166,791,920,857,317,419,416,587,169,893,042,
456,268,407,208,474,848,402,301,688,904,778,691,100,529,658,408,015,055,009,
263,644,026,666,202,788,619,334,646,210,605,778,941,903,564,785,857,802,091,
386,238,681,275,680,439,985,307,996,207,558,707,606,540,374,402,074,573,143,
372,460,109,775,443,344,821,299,325,126,792,573,036,758,827,717,695,553,745,
663,482,608,193,293,314,554,719,381,272,355,640,876,447,988,016,507,201,968,
569,504,849,497,379,470,042,943,908,860,784,158,888,451,242,862,744,729,808,
739,680,079,889,515,935,787,125,543,734,640,801,865,155,634,854,209,594,042,
012,517,844,443,524,278,323,743,185,882,921,640,249,460,542,208,208,219,799,
489,708,652,410,188,148,805,530,198,538,650,361,411,373,125,505,612,866,809,
051,289,603,046,049,281,121,075,801,048,631,109,250,987,770,861,875,162,593,
426,055,018,727,754,640,629,542,091,757,106,085,353,375,907,920,031,475,137,
523,013,753,700,298,809,371,959,352,848,366,382,709,020,865,297,101,152,642,
318,477,577,457,820,498,132,920,500,472,231,192,307,293,042,072,946,642,996,
443,747,205,397,330,031,699,901,874,186,992,999,946,963,618,595,421,718,436,
587,541,795,543,724,902,584,211,840,598,069,225,810,336,966,021,303,745,377,
106,147,643,780,142,192,170,126,421,767,453,188,757,508,099,208,635,495,458,
095,468,769,326,292,554,379,627,590,286,327,274,974,159,348,516,199,729,026,
951,282,010,952,698,164,398,861,958,946,094,139,068,330,208,402,075,726,468,
192,576,796,435,808,112,160,481,997,806,212,770,515,881,820,696,762,177,862,
076,851,203,137,288,369,802,977,137,251,365,748,900,277,937,026,544,315,975,
755,918,675,503,895,558,532,636,822,988,509,506,497,809,136,661,624,118,458,
060,901,398,619,225,291,991,660,006,015,346,823,212,255,085,385,649,805,662,
814,387,915,871,871,094,410,827,290,136,527,677,582,101,523,135,467,985,234,
829,712,822,511,536,842,730,020,403,934,378,527,268,242,591,480,974,436,977,
316,014,739,981,797,813,872,478,159,710,965,696,979,078,160,355,168,499,493,
434,031,197,887,851,884,348,482,828,196,858,047,098,431,367,124,061,224,871,
326,645,367,525,353,502,367,777,566,001,089,763,969,277,056,164,511,548,484,
884,003,904,865,906,058,669,215,448,657,438,552,585,470,615,027,387,072,177,
157,396,652,404,869,308,398,203,556,680,268,786,652,030,512,230,178,457,448,
123,024,191,027,600,222,558,875,890,269,576,690,198,646,191,977,996,041,908,
484,950,489,210,026,659,074,894,716,867,621,769,659,156,418,262,302,009,300,
820,871,471,000,327,397,305,702,036,402,620,429,715,394,377,909,006,017,317,
732,895,287,495,206,703,040,273,699,312,582,528,021,786,292,835,201,110,410,
718,715,481,898,919,707,852,089,554,561,789,260,419,696,999,921,591,965,438,
426,514,480,141,591,361,760,147,943,534,109,338,488,395,871,507,834,979,276,
241,112,681,372,180,396,387,410,197,762,726,626,806,062,791,520,088,292,476,
484,623,780,817,892,637,843,266,367,678,174,874,882,499,625,423,087,841,186,
079,221,788,642,621,299,418,094,079,718,783,923,393,856,903,044,584,520,717,
077,587,046,022,733,121,263,990,658,369,400,026,110,795,181,132,332,374,224,
149,434,490,605,948,885,984,197,356,506,375,233,062,896,859,485,913,590,997,
259,728,386,840,322,737,738,100,549,098,207,262,038,565,720,017,843,208,463,
386,525,045,527,863,865,619,597,669,474,074,682,840,128,565,001,966,205,805,
476,680,698,104,417,642,180,801,421,627,391,111,192,843,597,652,273,234,713,
174,897,325,828,377,695,283,816,169,009,690,524,785,048,507,779,283,301,911,
086,764,806,380,139,281,428,159,824,823,464,484,814,677,331,681,901,236,670,
782,257,290,899,695,646,909,924,476,701,582,976,892,762,078,708,197,806,334,
667,915,723,022,246,838,161,218,076,267,178,756,013,979,817,255,393,352,259,
075,970,396,583,444,008,057,472,091,113,605,566,540,840,600,121,741,264,003,
548,019,966,107,454,045,967,264,233,290,498,469,052,301,751,858,557,284,232,
755,807,382,902,432,020,946,164,072,224,246,439,662,279,122,350,710,199,503,
216,592,910,306,323,887,461,174,414,664,702,866,034,253,438,136,677,177,360,
113,368,295,723,363,942,235,771,827,369,865,533,812,760,131,714,493,955,498,
477,449,201,218,560,359,935,013,301,534,956,354,439,954,783,649,312,782,635,
097,116,180,340,553,139,403,506,851,419,209,591,043,255,227,208,908,054,362,
814,424,288,133,507,437,238,706,883,468,074,962,150,272,326,919,301,296,529,
538,487,794,183,691,823,825,829,576,541,634,868,844,501,673,865,781,610,439,
874,630,636,639,034,564,162,705,799,251,933,682,118,091,473,497,344,824,180,
978,152,344,296,498,895,044,789,021,794,036,508,820,138,641,156,409,075,070,
456,264,223,549,883,093,712,047,427,054,532,396,264,565,258,526,916,122,998,
274,775,480,165,203,058,124,955,815,927,381,299,917,216,924,555,138,361,588,
304,974,659,964,001,474,435,622,292,459,082,151,064,815,227,802,918,800,701,
172,105,057,082,733,714,998,566,057,910,821,968,911,376,266,498,759,501,572,
705,865,420,864,292,047,777,478,732,401,793,516,509,929,223,575,264,181,999,
978,804,977,774,185,998,951,976,370,819,141,603,809,829,826,052,938,476,056,
185,080,504,065,093,316,764,559,141,107,432,725,497,616,947,025,368,086,331,
524,779,912,943,419,259,976,283,452,709,248,817,456,139,724,751,138,765,605,
329,347,182,327,333,968,775,212,670,217,708,001,957,017,048,126,641,303,142,
408,441,622,069,715,734,482,701,158,066,939,610,057,105,128,667,166,626,768,
592,580,424,715,532,983,288,124,954,437,580,327,724,954,167,855,933,220,892,
632,055,902,932,750,930,204,986,920,013,898,283,048,247,399,192,164,873,811,
635,091,847,576,417,044,585,132,864,409,714,560,939,873,464,218,319,484,352,
681,742,398,270,287,410,311,687,132,585,082,188,620,831,310,013,959,938,463,
097,820,837,982,099,770,206,909,744,024,778,788,615,243,028,697,373,836,475,
240,559,344,681,253,195,565,925,473,690,267,907,476,757,241,072,243,387,012,
862,365,415,308,986,115,798,026,120,672,557,478,545,317,866,476,769,269,008,
810,160,584,561,723,340,109,052,940,482,479,652,591,401,250,993,278,263,444,
459,843,062,471,649,692,114,267,182,670,236,566,124,914,939,759,873,504,911,
389,851,130,832,216,137,226,632,663,039,496,215,583,667,681,986,062,118,622,
780,832,621,236,810,455,778,600,744,952,674,952,089,944,988,193,952,386,944,
906,576,827,847,373,759,485,287,221,478,461,221,322,977,144,618,637,795,837,
205,850,094,816,265,439,545,323,285,735,156,411,569,087,302,897,199,779,522,
466,871,364,634,983,353,337,196,889,355,520,839,719,065,245,667,329,638,620,
203,725,368,136,612,045,071,756,304,884,603,595,352,894,499,321,177,525,056,
849,387,404,858,422,673,068,592,119,756,859,480,018,046,847,313,031,328,745,
142,580,380,382,788,624,397,163,740,610,901,958,098,875,928,264,462,448,509,
113,143,521,916,495,661,282,959,951,726,483,717,047,505,468,073,801,315,529,
026,971,731,399,797,342,076,255,493,396,238,586,277,507,215,411,715,736,642,
169,619,946,045,405,751,844,239,738,794,832,993,591,380,110,089,563,943,783,
163,488,391,436,871,497,908,066,867,486,042,888,954,379,983,978,072,222,696,
131,641,559,024,148,251,627,215,955,088,045,298,971,554,912,669,297,692,720,
952,221,545,638,685,796,704,556,764,612,590,720,436,034,686,419,999,649,334,
544,017,492,484,778,186,388,453,877,790,853,824,729,859,149,730,696,170,513,
480,320,625,146,326,825,904,138,810,711,690,138,781,451,100,183,367,535,559,
699,139,800,988,783,803,622,757,787,989,306,585,775,226,200,908,166,401,626,
491,690,990,503,675,608,124,394,303,175,041,731,000,624,117,248,381,867,171,
656,566,202,848,027,738,955,021,028,977,640,046,941,780,616,576,084,499,725,
206,881,298,567,554,686,706,972,093,664,664,917,302,034,401,599,659,016,569,
394,236,943,368,521,347,337,952,888,488,755,644,975,767,038,874,477,727,936,
161,616,384,617,688,586,620,951,448,209,931,576,242,284,618,287,098,244,911,
149,764,943,295,405,891,801,604,419,969,948,017,535,733,681,405,262,417,445,
028,242,074,674,538,642,413,843,415,442,109,664,004,781,385,897,214,517,087,
250,659,797,786,256,295,716,570,791,299,662,443,611,035,554,725,574,099,960,
143,738,667,860,992,073,354,924,186,660,525,662,471,368,940,163,559,559,422,
337,002,481,378,270,653,841,309,587,101,796,193,130,739,771,767,262,327,072,
013,908,121,465,505,160,253,539,477,936,104,499,252,145,788,082,284,942,159,
993,841,448,404,762,013,206,303,337,727,850,685,206,388,947,724,119,299,746,
058,369,551,144,022,611,616,369,800,495,210,828,965,554,634,041,259,059,982,
494,539,616,112,869,347,751,858,475,005,777,417,100,452,177,135,544,520,340,
973,735,791,965,657,813,875,811,656,788,240,404,860,948,130,732,338,929,581,
621,169,125,374,904,655,078,427,470,022,094,427,355,245,375,025,980,907,670,
645,259,589,153,935,594,864,264,937,569,504,422,854,438,335,663,731,542,614,
561,287,451,805,854,462,065,796,743,051,650,374,182,519,269,508,224,423,309,
902,279,444,192,533,977,664,206,945,365,748,320,509,759,885,824,827,080,752,
796,905,020,188,940,564,506,669,568,465,603,844,447,528,183,170,260,438,938,
119,084,468,397,187,167,326,524,727,398,497,126,920,379,262,077,139,182,411,
187,572,644,717,401,520,763,641,195,325,112,037,236,473,023,513,573,203,438,
500,703,095,392,523,606,294,537,764,861,969,882,829,537,193,904,509,082,092,
126,801,661,202,807,324,930,122,661,138,533,865,649,860,852,322,211,253,344,
046,805,782,098,498,083,513,657,789,482,973,444,595,424,693,372,465,873,525,
339,530,271,226,628,292,750,878,837,673,593,987,597,906,913,294,213,245,717,
327,864,504,130,345,470,547,673,776,334,558,090,739,348,253,962,367,353,958,
787,714,521,385,422,503,461,652,497,211,557,707,315,333,517,448,604,874,395,
025,148,027,577,137,528,910,437,238,030,856,909,130,947,520,336,704,011,468,
252,349,179,875,479,804,964,380,538,880,621,561,579,117,276,471,728,215,628,
947,430,735,419,925,584,297,871,470,249,132,281,843,403,580,096,338,285,467,
307,461,926,861,750,991,746,033,751,790,823,302,855,106,480,070,127,831,585,
557,047,591,803,918,853,494,605,066,121,126,265,941,875,073,757,118,300,867,
921,098,658,715,866,331,939,956,193,795,146,646,543,863,294,648,509,761,774,
309,008,626,167,091,219,829,609,151,248,447,688,040,730,111,881,512,584,475,
537,131,958,620,469,655,844,187,769,767,488,811,309,409,526,700,788,110,685,
152,089,400,539,583,121,006,966,235,740,138,801,187,164,300,241,159,362,109,
380,707,406,026,710,042,145,052,161,954,927,748,870,072,313,005,723,494,723,
399,430,305,896,247,770,935,292,586,452,493,884,154,806,645,398,580,621,889,
564,017,351,081,559,857,798,783,641,791,661,080,524,022,511,071,348,052,281,
174,488,035,304,116,562,943,340,423,555,686,732,869,661,144,250,614,635,467,
004,424,097,653,950,453,911,091,160,836,047,738,673,065,342,231,975,986,630,
185,380,712,087,556,418,682,300,711,462,091,459,429,291,258,783,692,441,639,
901,949,340,587,029,041,857,319,775,413,264,151,319,491,089,591,723,497,181,
238,385,106,242,404,618,653,631,445,569,337,795,801,110,420,902,112,083,821,
572,081,259,771,821,147,353,171,122,169,863,691,813,378,294,178,336,325,741,
217,831,353,262,111,345,562,238,914,310,387,011,865,637,311,576,410,764,954,
489,733,002,523,857,912,767,782,493,298,697,448,374,301,016,910,505,903,450,
173,438,773,974,684,847,997,223,336,195,057,586,813,782,533,608,808,976,517,
928,126,200,682,583,753,868,045,982,879,227,168,695,227,862,292,814,514,070,
793,928,135,467,906,481,998,642,471,119,685,001,352,744,117,440,000,607,963,
909,128,602,493,872,860,235,892,454,530,611,245,454,610,578,595,652,038,770,
019,134,144,657,685,966,414,492,481,644,141,682,602,868,016,300,464,073,368,
271,667,916,650,944,801,195,577,738,302,103,167,108,723,387,590,926,340,302,
480,713,465,750,815,502,409,823,035,106,468,642,136,474,553,393,575,195,321,
695,302,400,915,153,519,623,001,296,814,836,689,265,008,316,114,451,053,544,
213,221,311,968,188,641,413,691,551,761,422,456,551,122,736,858,652,090,366,
853,469,972,401,038,405,196,529,248,395,628,760,142,853,680,948,197,174,817,
645,488,857,903,284,931,991,006,634,476,093,577,069,192,712,797,965,276,290,
045,873,505,342,311,233,260,447,291,241,875,892,959,373,979,333,305,542,359,
477,870,532,413,028,483,544,104,935,349,650,487,882,806,463,314,046,800,212,
217,653,669,684,119,624,543,086,737,945,853,345,778,345,031,844,286,560,732,
440,965,180,330,676,504,456,009,772,997,447,509,385,798,869,366,606,941,039,
001,892,217,481,514,278,582,337,408,732,998,073,146,279,730,284,958,998,800,
844,540,980,441,729,499,803,859,657,903,263,344,483,095,518,285,052,486,425,
460,009,690,028,291,256,580,404,746,095,449,798,099,107,107,645,952,542,786,
425,842,795,282,537,287,016,617,039,514,536,856,189,800,418,723,099,253,136,
909,982,736,964,025,970,660,335,542,800,427,144,720,575,546,340,586,035,482,
136,649,922,077,640,555,679,584,256,955,615,642,623,620,744,446,174,819,723,
503,075,211,154,494,219,563,467,739,586,914,240,690,592,366,573,059,022,499,
940,468,254,148,449,262,552,706,655,041,019,614,507,427,685,054,738,773,722,
653,330,432,175,741,774,543,347,866,547,676,431,955,385,075,516,908,736,578,
679,106,632,905,595,714,734,861,677,621,975,597,004,846,740,745,603,134,014,
966,450,180,561,972,323,742,054,455,115,855,497,502,333,599,047,010,660,075,
289,996,484,904,338,124,432,354,058,539,253,059,545,352,585,824,484,970,492,
614,771,217,444,245,021,434,400,630,528,296,469,574,022,150,268,252,984,658,
196,835,664,810,374,256,413,717,208,080,143,426,977,170,350,999,638,555,832,
396,673,550,463,293,907,515,114,749,643,053,675,544,279,483,302,089,922,248,
063,997,946,244,667,525,576,358,344,981,600,408,638,113,610,661,123,655,466,
125,139,046,337,461,054,497,383,539,457,549,831,116,921,527,133,337,492,606,
509,422,081,146,152,599,868,081,319,300,302,200,907,742,346,149,658,191,759,
107,341,769,384,100,325,209,785,495,393,609,968,325,445,515,705,657,370,043,
476,416,689,204,925,484,179,870,092,279,811,541,393,095,399,920,326,002,550,
313,656,100,263,937,116,175,777,937,767,268,231,332,215,348,634,585,910,056,
125,042,178,426,563,698,557,784,356,976,964,093,674,496,774,136,412,312,402,
536,266,760,489,891,612,631,988,523,511,862,450,860,481,855,598,086,573,226,
955,467,369,360,242,225,864,163,912,813,822,502,602,125,194,216,403,618,086,
078,943,873,289,556,806,356,699,208,528,656,249,370,605,674,494,930,335,145,
731,911,681,775,168,355,167,655,388,326,295,219,047,946,408,835,380,792,485,
604,198,733,527,590,247,895,592,074,682,700,988,981,648,057,179,903,155,710,
093,052,518,199,557,723,248,751,021,288,741,837,650,932,689,147,052,793,921,
414,428,893,546,931,268,450,203,764,528,536,287,896,326,025,559,874,133,764,
317,859,776,209,884,837,085,345,143,467,773,169,759,031,572,795,844,482,556,
054,843,507,255,407,921,181,725,561,838,775,257,743,336,227,762,565,224,412,
284,121,726,182,691,413,737,031,251,005,583,455,667,950,394,208,348,062,902,
863,271,176,516,933,918,711,131,068,278,775,634,731,179,272,510,721,265,781,
201,541,606,362,710,052,850,807,859,851,241,929,778,500,444,811,492,055,491,
629,463,612,728,679,274,714,802,899,164,464,367,333,702,038,665,860,107,120,
568,577,575,743,444,074,834,168,193,163,096,053,941,982,140,898,289,959,712,
136,211,221,139,437,307,028,241,657,752,660,404,222,222,762,422,039,348,594,
979,175,541,835,991,309,236,803,032,946,958,261,100,969,848,342,007,717,862,
712,185,901,587,412,624,153,615,915,638,970,995,616,914,776,694,293,358,512,
241,699,073,192,632,617,583,985,084,792,548,899,220,392,183,161,128,735,490,
961,951,171,669,455,190,770,688,518,107,651,986,809,307,560,987,740,524,333,
446,867,201,201,098,039,962,024,536,695,270,666,040,205,437,509,179,245,268,
764,248,424,114,166,922,598,629,050,343,912,041,778,983,860,405,745,680,595,
204,752,819,717,007,394,376,606,942,456,529,202,968,034,853,669,081,704,308,
843,940,975,269,200,551,884,752,783,708,493,869,266,466,737,551,966,261,358,
460,274,408,959,417,207,753,207,391,070,104,485,547,441,744,295,183,550,335,
450,377,414,023,957,236,855,395,288,736,695,515,314,580,749,284,690,212,499,
948,121,667,861,137,125,736,901,743,900,739,867,963,159,091,227,094,868,180,
058,635,805,084,492,868,335,669,582,481,829,671,977,460,655,341,223,835,996,
970,636,904,212,526,976,816,157,008,188,710,253,834,394,489,957,233,495,488,
186,701,297,763,244,005,251,756,545,165,969,877,698,205,838,660,500,559,126,
364,483,547,501,651,316,885,683,863,688,785,639,154,156,434,836,071,434,128,
222,194,764,678,193,498,005,248,159,870,919,914,222,613,893,085,401,975,582,
634,878,806,140,351,334,784,921,868,007,666,316,714,044,495,379,984,709,716,
130,962,514,015,568,739,572,806,792,080,622,598,358,619,652,194,103,974,447,
049,792,383,229,721,913,822,658,859,041,129,106,411,521,680,067,268,323,473,
613,829,391,389,960,202,792,072,447,019,440,208,997,366,720,583,442,795,108,
042,216,172,044,929,011,619,999,638,924,418,132,202,507,037,072,462,125,236,
322,540,766,182,656,930,441,772,265,879,805,452,310,281,271,341,673,250,779,
288,621,981,019,216,586,978,244,837,887,208,394,633,062,483,646,603,184,193,
747,091,535,629,506,563,293,250,135,513,988,457,290,336,757,170,517,867,057,
770,195,637,554,957,473,103,995,866,985,877,207,495,099,871,861,719,106,530,
085,996,547,278,543,347,654,732,258,206,335,418,462,260,452,511,053,543,674,
078,674,062,877,979,099,422,004,992,530,641,804,896,867,303,708,546,937,564,
258,422,262,767,107,364,373,750,191,600,161,056,913,657,798,233,945,952,438,
108,932,171,293,700,458,553,902,371,197,480,089,213,811,550,996,836,651,922,
830,244,355,101,758,506,444,005,358,774,633,173,618,762,359,074,911,398,535,
326,714,329,103,112,674,322,427,519,589,818,836,213,569,617,850,490,676,444,
345,000,834,533,218,959,936,074,870,734,544,392,857,932,676,823,129,960,181,
512,382,173,960,365,167,403,850,808,049,383,670,670,344,470,330,548,090,227,
272,914,772,866,143,595,690,808,420,265,613,845,069,718,270,766,604,445,108,
285,831,848,838,594,434,619,762,422,181,142,270,758,672,995,422,410,855,121,
663,304,668,334,081,292,542,408,009,261,321,744,240,653,635,560,465,080,747,
386,468,175,199,950,609,091,663,334,498,664,964,931,665,674,568,788,360,081,
601,561,465,168,285,314,704,846,618,622,200,335,484,325,436,755,876,734,286,
003,339,332,448,657,996,854,660,346,375,101,649,719,947,115,992,002,451,481,
217,290,191,784,634,508,246,483,530,352,059,458,349,278,617,537,964,560,092,
860,990,424,792,537,605,188,121,353,892,324,361,167,720,336,479,950,071,630,
786,101,962,203,536,101,624,108,198,632,287,353,326,509,127,074,981,608,632,
818,485,336,021,149,803,257,080,936,724,937,893,286,943,780,133,880,130,903,
941,899,787,200,724,837,261,583,486,542,210,370,947,738,675,954,072,465,852,
623,913,169,383,871,184,573,921,150,383,707,357,736,948,118,800,289,938,353,
622,323,825,772,654,277,599,318,920,761,221,192,367,497,431,868,916,035,048,
511,712,391,142,554,150,177,280,921,725,549,548,035,278,077,092,318,721,622,
964,703,646,098,233,788,973,194,218,594,636,097,051,645,205,030,497,673,656,
761,459,387,108,054,062,447,456,986,055,622,635,569,897,685,071,410,672,157,
115,169,304,220,316,830,916,239,130,770,661,541,402,284,907,069,615,478,319,
386,858,480,125,794,828,977,733,389,119,990,706,435,347,153,726,786,463,996,
187,346,669,189,917,721,359,300,372,118,121,942,369,305,816,757,080,704,151,
076,569,651,397,370,301,442,996,834,860,795,944,829,626,301,948,769,050,697,
408,645,935,782,210,347,132,541,482,637,310,875,363,085,518,081,494,909,044,
470,248,888,416,553,728,127,638,755,624,079,471,432,229,380,185,988,792,662,
287,537,658,443,556,214,364,885,008,646,224,138,140,937,823,227,195,205,714,
819,962,456,138,668,047,754,049,310,826,656,169,991,530,424,557,733,988,662,
754,351,549,501,126,942,225,350,985,385,430,070,957,152,858,589,574,074,479,
392,888,403,921,598,959,689,856,949,592,649,460,176,035,123,069,343,940,823,
496,161,863,235,775,377,214,983,999,334,819,244,735,077,740,554,230,489,935,
935,154,308,460,996,144,925,480,052,972,709,030,901,637,860,057,153,627,130,
051,204,768,506,381,378,516,812,131,428,410,944,706,297,943,234,689,456,829,
437,821,038,993,497,002,795,338,494,560,087,395,921,214,012,187,033,261,319,
397,959,926,704,656,030,570,647,687,452,787,524,518,744,924,116,318,234,790,
579,198,612,526,460,156,203,437,327,625,952,146,028,783,716,877,025,349,075,
871,201,379,611,950,662,471,475,184,075,104,284,887,938,967,130,174,401,828,
536,902,169,102,884,811,992,647,655,071,573,294,001,833,688,096,345,232,612,
533,633,968,068,592,320,657,024,789,536,865,730,917,891,071,016,412,470,951,
739,788,432,983,379,769,840,350,316,759,234,971,819,716,085,190,584,966,421,
039,651,547,541,048,640,344,678,830,460,612,826,524,791,279,910,781,274,878,
754,027,119,891,405,639,462,197,232,371,883,906,635,289,437,715,330,735,050,
698,284,950,292,481,156,531,919,933,172,483,229,520,550,117,910,440,408,082,
295,161,525,293,125,972,712,754,193,177,920,709,755,185,284,582,128,236,655,
631,347,960,539,487,752,496,423,239,332,110,655,417,185,446,731,114,172,920,
593,995,886,396,453,730,080,667,232,836,440,577,724,550,469,962,755,504,206,
835,237,117,462,537,067,077,000,811,962,861,215,468,781,721,844,087,821,447,
620,252,118,260,356,515,491,674,567,618,943,863,202,499,404,732,387,321,672,
006,899,088,317,032,739,874,839,128,631,224,625,504,788,869,077,871,550,607,
671,301,538,051,447,145,214,451,147,962,801,005,058,598,825,792,012,797,920,
536,181,843,523,952,853,973,087,721,723,602,278,820,108,227,487,144,608,530,
523,778,128,909,775,953,446,253,988,431,302,081,851,194,980,012,029,783,517,
644,328,719,194,201,496,292,803,772,243,586,461,303,840,178,227,217,665,386,
683,173,471,931,782,036,906,383,354,342,476,497,450,205,833,277,433,188,794,
779,217,647,158,346,007,518,547,504,639,534,381,224,225,754,422,683,791,325,
257,762,119,268,898,216,188,509,883,577,497,337,062,089,371,258,786,640,162,
544,926,180,298,349,277,455,211,917,076,868,923,541,101,065,768,593,105,385,
408,386,915,204,930,439,859,520,879,974,030,402,870,201,344,402,164,165,179,
385,637,765,395,667,717,038,581,305,372,576,822,708,913,556,314,436,293,946,
972,249,604,285,291,047,491,878,688,339,220,830,143,467,271,094,086,438,672,
207,600,096,535,984,004,644,591,080,829,426,647,226,850,084,521,223,446,675,
966,935,314,238,434,154,915,441,304,587,579,379,859,724,415,473,219,683,218,
949,056,274,804,670,950,552,801,806,476,611,164,464,689,064,512,378,375,896,
172,752,941,974,574,110,973,534,544,348,352,313,697,503,708,806,251,524,882,
174,850,905,402,967,756,136,320,171,493,282,921,787,364,401,528,413,645,750,
568,536,619,166,673,895,858,181,241,653,129,073,208,928,535,002,215,085,170,
417,509,345,521,646,480,225,485,128,338,198,859,757,697,080,424,224,699,774,
850,704,553,888,106,595,874,946,974,279,368,887,959,877,639,181,420,494,337,
717,513,935,435,407,166,363,880,725,221,586,827,608,078,735,624,777,331,783,
425,975,355,827,039,545,884,461,304,373,416,836,285,449,680,573,877,641,505,
711,183,573,547,661,451,001,272,993,052,721,857,597,634,201,824,112,453,506,
217,520,223,351,651,676,320,660,851,455,860,814,583,323,750,845,000,398,245,
847,679,553,284,371,075,777,620,170,625,172,418,975,460,664,341,350,543,193,
760,934,266,124,789,436,308,998,059,514,847,708,468,693,248,993,223,881,120,
025,988,992,844,827,441,705,299,395,631,416,094,557,788,015,364,407,693,646,
890,958,085,517,183,583,517,523,538,804,497,717,726,220,959,275,705,790,833,
303,587,043,920,327,687,071,694,533,248,518,165,218,539,103,121,845,605,617,
945,154,765,681,057,003,359,948,338,722,432,194,321,077,575,750,179,902,502,
016,835,185,938,215,466,876,168,899,392,903,925,367,000,717,191,472,667,269,
587,358,426,083,685,239,664,647,588,398,668,515,604,529,074,437,670,531,294,
127,694,543,026,259,859,728,181,842,518,941,327,360,022,044,633,607,317,607,
579,688,255,747,502,006,927,143,809,599,686,061,895,840,116,795,585,338,063,
002,001,765,017,966,582,256,571,754,484,660,854,428,234,919,556,548,494,373,
690,394,231,993,241,399,983,661,019,368,489,580,033,439,544,492,391,018,052,
463,478,921,653,126,093,075,600,963,698,173,436,129,181,564,684,371,770,733,
175,864,023,514,344,078,292,611,928,279,728,803,169,902,102,973,670,892,471,
940,997,826,074,619,500,457,142,967,129,645,009,223,324,337,638,903,497,836,
367,124,968,123,086,355,075,220,844,150,168,447,395,952,836,983,522,819,472,
938,672,498,042,567,602,972,692,349,202,398,130,422,027,707,498,094,224,132,
543,410,631,627,016,889,274,298,607,269,801,501,705,286,289,757,461,659,428,
234,507,041,595,725,009,520,754,147,458,753,951,100,618,544,118,350,874,515,
420,608,247,809,626,751,739,618,463,045,752,214,244,044,672,286,172,200,330,
399,500,723,693,119,818,542,475,671,571,665,868,666,099,373,188,150,477,082,
576,302,391,057,981,573,450,219,405,216,887,490,422,292,143,933,440,633,228,
576,222,623,471,751,924,246,980,608,851,615,232,825,862,920,256,723,045,463,
397,782,964,366,376,431,668,830,571,709,257,557,651,417,432,236,452,742,005,
998,096,738,596,209,697,629,450,374,191,481,343,426,148,809,012,686,046,690,
868,515,083,979,688,724,117,274,796,798,030,071,128,614,443,568,617,798,661,
952,605,990,385,760,169,463,917,596,975,342,850,473,209,728,242,916,211,549,
761,015,910,997,107,665,798,988,954,427,639,003,878,468,003,587,233,521,451,
446,831,682,589,772,956,446,835,548,151,287,737,546,939,207,874,160,508,697,
008,371,490,823,427,592,582,036,540,786,940,054,454,778,618,148,991,370,583,
691,212,846,494,601,343,623,376,722,929,699,799,910,433,253,020,408,991,483,
651,678,619,191,787,656,899,766,174,343,568,371,987,474,964,491,032,452,497,
069,298,502,838,156,669,636,731,149,647,173,842,654,649,862,152,225,960,738,
246,063,682,695,156,741,353,091,209,894,265,429,485,933,880,130,079,799,441,
643,508,876,601,135,409,748,819,284,567,301,351,212,743,031,819,315,549,738,
061,493,185,445,375,413,162,852,751,963,093,399,758,429,937,286,166,717,951,
142,847,461,591,925,190,370,713,710,666,435,196,037,461,178,691,140,118,250,
590,448,420,605,352,644,255,411,451,224,266,631,995,938,934,019,080,681,559,
972,154,966,072,967,749,883,794,410,000,096,811,482,227,831,992,678,988,863,
208,904,995,150,737,280,157,246,480,654,561,178,062,343,733,343,977,946,928,
094,988,413,641,262,214,996,002,529,748,470,018,972,451,616,154,219,002,214,
867,381,667,331,908,084,933,056,637,164,837,553,108,758,831,316,776,751,794,
989,188,068,686,999,055,888,342,501,920,637,978,721,460,370,407,897,220,284,
379,011,415,447,779,761,238,185,932,382,600,634,510,413,863,507,711,624,724,
101,213,991,125,215,806,111,119,093,231,561,916,588,358,148,602,748,480,665,
228,360,405,881,030,945,905,280,449,415,200,505,530,488,271,782,540,016,821,
736,307,831,858,105,441,835,963,203,842,317,468,519,215,931,870,913,940,418,
281,208,241,689,364,256,315,546,734,992,867,590,103,090,768,028,973,687,701,
233,954,218,662,569,267,430,857,258,546,236,362,310,064,447,069,824,834,674,
375,469,003,952,726,106,574,633,462,904,025,810,380,249,927,933,848,316,077,
655,857,042,634,284,915,659,643,931,202,574,343,898,391,775,387,126,274,183,
815,355,968,628,461,076,501,181,915,209,215,370,486,681,884,850,739,637,450,
027,590,257,086,649,336,512,856,865,755,377,677,389,256,716,015,056,023,752,
083,900,401,380,452,295,106,020,768,608,441,381,376,777,786,371,153,788,642,
320,499,798,526,576,589,843,125,733,771,064,490,297,240,356,708,380,660,631,
798,961,665,423,625,199,628,179,524,912,895,245,183,508,827,518,995,485,243,
274,285,074,833,597,490,536,601,656,327,504,241,921,367,966,790,138,230,803,
124,200,078,718,831,598,411,989,510,480,051,782,187,749,543,193,956,883,953,
551,193,228,001,117,141,197,256,766,687,485,942,695,721,121,588,703,067,110,
296,634,682,882,724,136,637,568,201,007,468,091,601,451,830,385,088,351,835,
851,456,879,347,326,526,833,515,256,983,454,070,108,064,205,518,734,417,845,
553,711,076,986,297,790,554,498,216,242,465,089,505,372,815,860,388,646,828,
396,102,606,786,691,993,562,862,481,072,721,114,765,755,219,827,444,655,659,
581,557,426,019,771,418,590,642,657,833,206,611,853,890,532,462,410,168,766,
224,366,939,983,391,396,683,711,017,273,952,031,669,412,577,004,169,183,444,
170,060,001,994,481,823,482,046,462,001,598,526,751,235,990,622,736,002,893,
695,475,932,869,800,719,601,326,985,963,140,239,427,333,976,691,982,849,657,
128,031,150,205,617,570,942,481,821,499,054,871,224,945,445,042,338,573,426,
519,627,051,972,830,606,012,504,950,173,120,624,398,068,262,106,977,067,714,
824,065,606,505,339,425,641,814,654,415,479,294,624,704,974,687,558,099,217,
587,835,340,869,242,607,896,894,856,125,585,996,881,376,170,180,203,714,110,
939,343,498,664,324,056,201,493,831,871,024,042,806,002,021,308,386,871,325,
230,707,462,347,708,135,279,576,450,431,421,553,728,887,891,561,444,823,983,
253,990,684,030,551,617,612,360,117,088,834,064,239,133,664,344,498,083,633,
436,421,758,594,345,662,976,765,903,315,766,522,348,230,163,769,254,470,740,
011,830,561,131,334,282,780,760,534,146,128,334,174,431,496,378,899,033,824,
992,843,042,022,254,226,842,596,205,873,103,509,858,692,215,321,602,468,434,
513,396,241,521,282,097,296,970,914,470,277,531,536,279,366,433,576,864,551,
027,383,767,990,230,598,635,694,983,806,269,965,750,913,357,324,841,797,749,
866,381,736,360,779,543,206,578,510,699,307,134,366,595,750,317,419,629,376,
867,225,506,295,809,976,070,925,270,543,828,460,910,805,915,885,772,938,231,
380,795,205,965,949,896,370,318,798,722,704,004,616,195,623,886,769,547,474,
328,659,892,624,410,163,551,296,198,288,672,504,631,167,646,548,071,770,773,
411,663,129,195,751,880,029,492,230,666,170,265,370,630,610,445,899,303,037,
610,098,448,070,247,235,036,460,065,173,586,006,648,109,986,181,534,959,751,
748,941,597,517,610,259,180,344,545,038,728,259,950,925,881,252,878,300,431,
306,065,744,190,209,569,394,559,965,224,747,562,340,859,905,876,025,707,858,
463,985,821,843,431,012,841,382,399,803,671,963,182,097,599,261,489,221,752,
740,290,498,583,779,719,335,964,733,504,201,933,377,103,667,817,729,199,519,
301,844,874,774,400,599,949,715,473,190,210,478,824,126,536,131,383,934,092,
061,537,657,114,305,508,041,598,900,255,117,947,838,019,036,312,072,724,572,
130,738,755,184,449,244,102,027,125,238,173,634,307,845,510,058,429,686,900,
389,253,508,797,870,677,217,095,733,755,795,537,590,911,976,851,649,796,981,
717,442,840,340,213,194,564,522,186,585,238,703,494,679,891,263,868,593,740,
160,455,373,707,605,908,976,991,493,356,833,429,762,689,138,707,032,263,295,
052,372,300,325,465,077,499,636,040,233,934,427,859,775,574,803,283,955,972,
806,995,961,673,311,366,309,137,268,316,556,099,290,243,535,229,498,118,689,
074,708,047,980,678,582,374,850,372,316,029,952,609,349,047,053,329,067,988,
546,714,378,741,597,054,919,587,276,888,108,215,014,009,884,212,807,913,176,
164,995,093,737,759,151,719,114,645,113,157,067,348,984,566,504,130,081,414,
797,926,677,472,245,624,229,880,437,804,357,408,957,325,455,943,439,917,420,
587,449,903,370,565,684,698,373,877,834,207,127,301,091,747,662,116,973,990,
027,119,486,769,302,934,276,655,949,813,406,647,911,711,898,365,501,483,914,
680,001,820,287,760,704,435,087,865,238,973,974,466,324,854,768,383,664,301,
990,416,333,674,684,248,181,203,027,518,394,557,926,171,813,132,207,403,998,
183,257,257,898,253,574,551,570,586,188,445,750,259,223,803,880,372,658,634,
462,099,261,410,641,778,021,141,355,406,960,546,901,576,592,744,212,068,557,
874,679,233,428,463,880,682,390,609,795,695,032,220,264,667,649,989,672,240,
438,648,254,338,865,514,408,288,701,786,270,560,774,323,416,017,033,134,808,
651,637,924,337,494,258,546,143,385,002,879,262,845,472,904,802,077,023,556,
073,678,854,861,676,973,530,834,688,966,609,847,984,355,693,200,206,252,264,
351,361,710,801,688,960,531,278,398,094,461,606,933,657,198,981,519,164,876,
778,869,797,028,644,686,966,059,183,359,327,842,595,511,345,787,507,044,301,
623,285,279,873,161,701,884,589,871,107,697,889,066,636,844,702,354,919,109,
020,169,614,447,021,815,986,509,816,511,267,244,092,865,455,542,461,330,410,
497,160,647,177,376,803,956,545,887,105,089,953,975,161,395,982,061,420,408,
985,411,650,936,431,062,638,901,635,700,601,031,187,225,257,081,567,274,028,
345,086,763,709,741,241,236,750,989,385,361,122,448,483,908,363,534,885,216,
523,642,688,848,576,127,394,613,056,642,717,546,604,778,919,237,166,148,092,
853,100,286,003,113,259,085,945,529,918,183,123,424,163,922,883,044,899,536,
674,173,580,028,005,070,644,370,746,849,261,033,421,278,561,566,971,687,735,
148,674,684,030,921,664,944,455,073,159,076,559,787,794,575,043,403,501,989,
167,884,734,992,232,973,696,213,896,823,609,232,488,429,404,290,261,530,255,
705,021,981,486,149,071,153,492,330,637,315,116,155,762,568,014,349,399,081,
797,752,669,937,419,457,977,348,734,709,839,384,394,438,220,021,302,856,699,
450,691,649,096,438,867,169,708,305,966,731,667,502,034,224,837,357,080,552,
883,221,104,902,827,596,698,456,278,912,801,917,492,182,905,441,831,965,649,
595,850,604,192,158,928,326,649,936,480,785,203,387,183,375,453,492,830,742,
895,867,761,139,377,298,014,650,625,815,288,467,577,709,053,488,667,657,904,
036,553,604,709,157,736,869,685,039,105,784,842,474,832,517,710,967,928,195,
478,176,545,667,334,373,506,120,679,042,641,961,212,932,471,709,102,254,877,
925,705,565,418,024,091,541,013,523,416,173,883,288,175,078,952,913,134,947,
518,412,391,137,809,505,261,934,378,712,837,581,719,164,625,557,736,824,955,
685,184,477,275,473,335,851,096,182,120,338,364,031,534,050,732,450,893,344,
447,616,313,459,252,804,394,473,366,446,464,156,165,065,442,737,176,287,798,
823,099,104,064,278,619,412,549,734,098,997,879,981,951,474,046,862,002,933,
005,510,530,065,915,387,633,014,836,684,140,652,021,979,436,609,588,055,558,
147,913,470,557,963,304,940,451,086,706,581,998,741,436,024,673,881,232,100,
472,851,791,009,764,546,440,142,760,757,485,098,579,729,695,520,905,702,135,
063,295,184,931,643,491,812,428,138,150,706,144,855,003,099,963,001,771,940,
153,403,771,244,247,730,595,972,413,060,845,538,472,297,259,357,716,661,133,
326,766,572,023,680,696,214,372,747,304,324,991,826,290,985,798,368,721,380,
371,097,407,878,735,195,194,487,025,963,011,717,564,667,230,227,909,953,327,
917,305,052,386,326,925,119,690,430,471,982,869,174,929,874,033,349,010,253,
739,669,451,438,404,345,281,069,700,942,396,938,359,939,061,784,768,707,023,
346,631,797,864,291,821,654,205,905,807,676,613,988,602,274,329,402,462,671,
628,770,494,542,925,633,474,334,763,125,657,649,325,965,090,139,236,323,132,
184,353,524,103,083,287,958,207,625,574,834,996,625,650,645,694,120,847,826,
133,684,209,217,823,902,425,350,519,315,672,560,952,599,719,584,930,824,337,
279,536,401,282,049,696,703,733,782,085,154,463,996,897,571,728,559,301,936,
871,636,718,001,862,742,513,642,679,788,742,077,685,933,710,771,572,526,080,
807,116,590,029,466,945,570,323,055,235,400,554,861,003,234,320,177,495,350,
567,013,117,088,605,285,503,383,859,885,837,630,549,136,316,368,845,482,705,
652,685,570,416,689,097,521,374,932,045,943,482,321,145,055,749,711,037,896,
079,447,702,394,911,607,705,950,518,644,320,645,683,999,959,736,476,207,721,
337,742,946,052,936,350,727,283,917,433,918,649,448,425,016,898,867,810,483,
643,354,438,811,953,220,081,926,609,077,676,635,839,704,535,899,872,753,433,
016,057,081,227,849,940,128,483,878,414,255,061,331,031,024,950,321,873,714,
207,242,003,431,614,306,971,458,586,468,740,470,430,508,206,379,434,645,576,
360,279,666,295,125,239,928,276,078,102,477,350,021,711,928,377,017,186,787,
564,525,217,835,052,407,739,405,299,963,571,139,600,222,980,799,255,186,735,
678,855,744,473,934,233,105,802,286,383,616,298,226,134,074,483,075,821,878,
024,966,122,497,905,548,086,884,594,554,929,956,711,257,580,812,661,987,238,
921,761,123,985,217,842,219,246,633,145,442,618,783,699,320,183,129,537,502,
649,581,809,367,812,506,699,480,162,216,489,954,445,135,922,774,651,593,436,
650,556,187,080,733,449,556,797,961,543,811,063,840,664,332,971,480,011,724,
080,438,548,215,983,100,156,090,515,718,472,029,827,643,765,887,371,013,252,
824,318,407,643,833,862,768,276,300,532,292,647,532,771,959,963,001,904,270,
992,198,388,004,322,430,746,682,267,843,622,455,821,703,892,745,857,004,676,
741,221,093,769,439,813,608,001,108,702,831,880,943,546,528,598,745,616,759,
347,114,768,152,563,202,507,116,723,946,616,584,548,590,487,070,681,920,963,
260,423,374,587,024,773,843,609,358,541,780,550,453,156,835,070,630,158,390,
567,467,161,056,245,183,243,148,584,860,071,355,987,653,349,095,120,815,113,
903,401,222,606,389,631,733,909,106,516,532,610,826,967,611,992,770,897,154,
973,970,492,858,734,751,857,310,094,371,823,382,483,718,440,695,285,820,489,
537,626,483,322,977,270,292,775,143,274,133,068,127,859,829,652,479,406,485,
656,916,427,290,270,653,437,310,115,259,501,482,611,998,174,538,171,340,803,
199,152,653,510,072,097,174,208,587,961,458,286,256,127,304,155,439,139,483,
992,273,419,912,524,284,025,867,559,933,027,088,024,075,811,756,784,662,072,
430,186,998,714,499,485,195,987,975,792,164,631,683,587,009,476,918,193,565,
911,480,376,293,856,190,062,561,001,207,587,343,339,114,919,047,173,259,322,
498,681,526,309,939,190,651,364,164,611,775,883,166,893,043,258,141,299,147,
433,729,415,382,172,578,662,195,311,425,206,657,449,939,103,470,248,271,469,
464,595,909,926,664,219,253,384,469,164,554,346,504,818,547,609,359,360,113,
745,138,152,577,606,842,026,334,619,461,078,101,067,298,010,663,561,664,519,
034,243,838,483,724,153,771,755,258,935,820,675,414,467,862,375,207,021,660,
068,853,208,639,459,523,335,750,272,568,644,227,056,512,731,404,264,751,502,
033,968,889,524,328,107,755,435,709,829,426,787,884,171,253,136,672,076,866,
807,358,114,095,813,018,772,663,387,622,066,621,752,548,325,103,217,387,896,
640,130,429,450,581,332,358,053,098,579,764,496,158,262,635,042,033,041,561,
934,415,098,579,332,276,676,220,394,599,540,517,835,425,917,646,944,336,753,
673,633,515,218,384,367,551,605,515,031,423,412,536,548,867,008,242,657,268,
660,408,230,949,752,160,517,315,015,527,370,585,721,527,330,660,969,141,538,
908,312,516,032,721,692,210,105,112,000,926,176,424,007,022,925,537,860,133,
821,152,191,110,963,456,730,099,880,797,318,364,241,964,485,390,902,965,226,
519,174,924,602,182,238,586,730,854,350,354,553,531,970,844,432,009,875,261,
215,244,707,523,505,930,777,170,585,783,475,383,579,209,715,814,482,129,801,
622,281,366,443,062,587,903,891,863,944,314,352,081,628,711,365,951,793,639,
707,317,955,452,110,673,884,642,831,816,850,456,213,619,041,774,566,658,911,
966,171,094,509,027,359,718,072,901,697,913,543,426,546,648,897,274,982,678,
453,701,356,253,288,744,627,912,806,724,238,048,275,887,826,230,674,068,607,
889,768,365,593,870,851,043,840,607,305,510,440,938,846,039,549,334,703,830,
599,904,801,130,528,382,994,705,630,040,993,769,096,079,630,305,629,835,931,
528,448,517,560,926,335,341,638,113,037,641,474,399,198,817,121,670,409,324,
802,138,974,652,707,662,347,947,547,456,946,548,845,784,948,071,305,343,002,
893,134,174,616,342,210,053,491,493,364,501,491,660,708,902,733,378,366,400,
891,352,072,343,369,871,406,696,371,306,716,915,220,505,525,814,033,513,268,
882,632,757,608,901,578,666,984,741,922,254,714,147,743,856,374,529,636,196,
935,408,725,541,743,328,787,366,538,188,624,919,966,090,684,784,331,357,003,
484,202,940,037,938,174,226,013,232,233,739,396,676,874,034,132,530,266,658,
176,596,464,673,108,302,456,128,458,962,879,370,769,869,470,949,251,181,487,
099,430,102,367,605,916,856,882,294,807,923,671,388,178,677,622,065,585,019,
421,876,741,787,951,140,393,623,670,572,196,788,446,796,628,168,059,244,996,
518,075,440,090,313,868,908,663,646,487,047,305,345,178,261,170,452,417,733,
004,724,803,097,613,414,086,786,237,468,815,225,129,876,749,763,222,939,972,
715,674,298,036,370,725,765,551,375,510,071,953,924,173,593,316,674,502,183,
819,355,562,503,795,481,906,073,088,030,573,890,375,006,822,029,167,275,905,
335,149,485,488,936,125,119,881,735,692,540,966,231,220,470,887,898,121,430,
120,513,005,147,090,411,062,345,815,610,222,907,148,421,413,871,082,645,685,
870,663,315,740,045,182,481,362,792,271,096,123,192,583,149,984,583,519,886,
809,492,801,502,365,599,535,625,808,937,675,095,555,744,296,072,077,882,979,
526,880,100,651,196,452,008,233,003,828,438,340,027,887,574,589,752,753,879,
588,527,303,980,503,239,393,640,793,744,011,468,535,663,400,564,941,650,927,
317,788,033,250,879,402,500,075,274,657,844,965,618,867,251,381,782,708,884,
248,501,563,735,918,268,502,536,333,114,990,535,534,409,237,478,404,463,190,
760,783,269,310,539,704,711,212,016,574,480,390,234,991,744,680,283,542,217,
179,697,610,489,037,763,325,252,624,389,023,756,249,841,233,839,026,653,099,
747,749,158,322,432,372,867,005,762,679,803,928,463,342,416,877,853,198,650,
243,565,725,384,333,764,490,590,298,111,617,635,208,201,060,447,815,328,848,
380,293,784,417,562,882,583,507,280,210,356,498,300,241,694,153,248,846,427,
600,893,678,433,623,809,524,581,966,884,254,391,546,932,914,166,415,806,146,
713,042,419,118,312,426,426,460,123,124,091,964,013,624,781,608,150,779,182,
200,253,737,000,441,962,089,166,695,001,067,132,672,803,296,939,678,348,241,
297,954,100,313,007,596,016,397,420,390,771,628,785,013,680,861,682,510,527,
790,883,153,364,979,248,426,198,989,317,629,429,701,434,838,815,558,538,076,
985,049,040,385,242,436,802,836,347,670,818,432,897,359,730,154,578,867,104,
171,976,007,016,402,440,814,509,752,615,351,998,740,155,717,132,359,291,728,
237,523,880,856,378,973,406,557,368,691,562,405,415,193,729,207,873,002,316,
763,289,937,505,281,102,253,690,527,170,642,952,459,022,695,264,461,877,159,
783,641,887,467,001,224,003,614,589,703,709,577,884,506,700,866,167,249,083,
705,119,444,407,865,901,415,561,183,194,918,099,244,009,317,837,060,037,420,
637,894,040,702,250,715,567,215,191,719,312,286,632,518,834,213,818,794,921,
462,161,678,627,303,173,745,057,626,149,911,081,848,023,642,192,092,204,940,
821,496,202,416,979,463,980,555,395,012,001,820,573,450,646,352,178,015,187,
150,480,658,453,037,443,977,529,141,249,787,989,789,180,042,565,505,902,211,
568,654,540,152,173,548,085,266,986,093,735,423,922,528,980,574,845,704,967,
370,106,512,674,234,162,724,031,083,259,001,482,348,935,445,072,391,652,103,
878,186,930,027,413,593,477,410,532,090,712,172,033,765,819,784,003,951,697,
474,015,947,354,854,269,525,373,741,214,058,867,790,441,731,305,675,437,353,
487,911,366,117,387,442,770,619,095,446,448,067,176,702,850,006,517,450,731,
437,457,456,300,284,856,902,397,081,589,266,296,317,981,495,400,458,678,427,
898,729,045,333,488,905,333,503,706,842,634,071,851,713,626,395,529,854,815,
375,336,482,576,599,683,403,149,222,553,359,724,479,081,003,815,002,965,857,
157,131,670,117,083,061,214,298,020,433,282,181,779,374,077,298,578,913,975,
732,129,985,648,131,296,360,686,307,044,034,896,168,866,887,374,374,701,628,
163,349,141,908,297,220,178,187,700,179,468,087,198,851,650,927,953,332,024,
776,125,565,953,624,634,911,141,573,013,967,507,886,928,063,918,269,712,468,
165,738,848,553,857,395,393,566,292,893,703,780,879,162,868,468,996,495,295,
707,174,449,372,860,793,871,022,731,039,160,025,855,779,630,142,747,689,643,
984,333,851,265,796,896,211,715,593,597,856,004,941,363,870,743,582,576,517,
595,466,776,323,485,834,471,755,837,817,699,021,901,116,386,916,068,913,836,
925,086,788,633,733,284,308,375,649,573,907,890,194,411,030,329,976,057,957,
477,764,215,525,374,964,538,078,283,710,161,145,920,316,628,162,456,645,191,
036,706,151,843,765,412,359,508,944,781,349,692,094,191,873,993,498,229,183,
070,605,302,738,147,746,189,888,801,828,631,597,287,383,502,363,599,454,280,
236,085,730,107,733,011,832,165,331,078,551,925,732,925,317,898,999,374,390,
844,634,474,715,660,848,603,345,320,540,258,147,636,287,841,857,092,862,363,
064,548,794,190,798,373,111,314,170,527,374,043,209,337,700,421,186,448,048,
758,088,903,178,763,785,631,019,015,113,907,205,271,898,483,064,461,311,859,
441,326,745,194,081,287,827,308,245,073,351,568,560,728,570,897,705,223,549,
792,137,977,858,855,298,732,613,378,436,630,039,474,443,835,904,809,171,703,
777,696,014,532,435,851,256,466,199,389,720,479,191,909,705,326,618,265,805,
495,109,135,255,298,789,895,174,255,109,131,407,728,939,117,340,477,097,400,
323,335,021,039,856,379,705,863,287,131,458,303,340,910,941,572,062,727,737,
950,804,218,283,092,838,772,428,849,396,423,254,645,269,695,907,265,381,335,
171,252,118,441,348,781,510,753,882,613,635,307,898,151,794,294,025,250,324,
965,555,211,459,336,243,691,542,768,121,270,231,979,822,355,294,441,990,175,
759,552,289,862,822,712,414,898,577,744,395,249,285,255,363,346,269,393,362,
609,838,684,562,563,783,474,224,022,158,467,270,450,641,719,998,268,729,895,
393,931,049,654,161,591,767,489,058,385,516,307,300,091,618,877,526,085,723,
967,366,094,387,607,321,017,581,346,063,821,485,049,856,062,888,117,536,031,
326,116,974,602,766,082,696,542,893,931,191,416,150,161,870,438,998,582,732,
708,659,159,256,514,867,132,467,168,917,425,191,991,874,057,164,434,891,965,
260,125,344,312,043,160,283,394,693,638,034,562,637,336,361,504,204,723,731,
804,175,015,750,281,010,392,090,986,384,256,891,564,337,046,658,170,118,643,
210,438,852,959,009,445,322,153,037,690,445,444,284,277,196,219,081,342,681,
012,345,428,813,290,238,661,327,998,475,519,226,495,949,190,958,394,326,054,
523,370,875,998,932,491,565,280,504,083,605,900,622,951,437,369,507,999,851,
985,404,642,774,348,180,624,233,846,908,045,124,183,835,899,946,425,065,460,
211,146,041,696,704,037,687,438,808,760,416,351,481,244,420,524,900,390,596,
295,634,565,498,332,347,339,738,773,338,995,106,631,190,399,802,930,795,595,
865,895,608,905,885,319,485,789,548,602,540,053,920,597,452,318,013,955,370,
125,802,590,905,729,059,450,026,420,641,410,872,343,154,405,699,596,259,396,
849,621,318,792,835,056,856,397,427,331,718,770,947,775,402,521,611,165,564,
988,285,646,650,707,673,594,781,086,164,285,066,803,989,216,100,081,762,727,
972,584,633,910,674,596,520,205,650,729,776,024,992,071,560,761,014,942,225,
013,270,151,886,531,831,118,060,798,268,436,186,649,702,132,500,376,644,316,
165,864,550,149,370,129,417,389,366,984,400,995,292,375,138,575,683,858,482,
095,594,346,000,411,489,934,871,898,316,717,820,845,571,418,068,022,112,603,
984,546,707,647,344,136,325,014,498,596,661,220,013,833,529,651,450,764,523,
512,647,268,370,054,693,786,604,096,671,279,321,952,772,363,032,394,162,880,
567,478,378,888,556,752,615,220,401,208,545,272,924,208,974,325,608,491,369,
318,579,291,142,195,447,643,723,879,220,254,246,337,094,589,347,971,991,129,
223,198,864,831,364,619,806,570,529,983,879,425,265,428,468,750,226,938,954,
813,715,696,463,645,806,074,543,547,182,666,356,591,874,583,680,378,143,478,
458,637,228,679,400,661,145,872,538,649,160,233,704,755,118,329,409,436,342,
558,233,595,951,574,730,715,546,266,499,287,732,412,482,201,182,998,399,148,
712,390,620,131,228,752,369,771,997,489,115,422,599,837,223,706,169,696,280,
549,950,686,495,759,311,933,773,321,941,538,711,306,258,150,931,874,397,038,
179,869,260,932,681,176,116,566,814,776,242,109,883,498,492,934,890,047,235,
123,346,111,520,083,801,125,922,517,462,491,934,643,332,133,485,113,104,395,
789,431,592,031,850,507,248,710,320,818,801,189,566,655,694,098,225,042,495,
754,062,455,347,962,061,980,982,714,086,122,938,163,122,951,261,351,764,413,
298,224,672,482,461,060,731,250,002,648,715,533,074,732,822,904,106,425,137,
721,406,837,530,285,022,278,271,859,220,266,319,242,600,278,686,923,507,979,
525,884,317,892,847,493,592,355,096,361,692,153,832,477,732,834,441,116,264,
079,126,753,545,951,491,268,028,119,935,271,465,730,212,741,921,021,603,995,
091,353,776,689,645,880,669,737,306,546,877,915,041,126,660,994,381,167,346,
808,794,804,014,516,105,603,160,065,575,866,803,943,886,152,248,411,907,751,
728,128,458,630,100,565,757,764,353,448,775,107,232,335,374,753,066,587,246,
265,657,162,603,288,901,406,237,345,842,218,344,675,286,313,229,387,571,357,
585,812,094,110,452,172,311,928,056,485,516,645,528,350,184,819,352,950,112,
555,815,796,022,501,792,273,806,465,613,299,949,043,566,994,040,928,881,101,
901,645,677,366,963,935,825,241,549,101,977,582,995,454,121,123,628,280,312,
845,087,831,610,593,957,480,586,158,167,799,969,075,393,826,801,018,645,986,
900,955,112,012,339,485,366,414,411,856,721,272,995,097,493,163,503,223,037,
423,764,511,261,194,727,840,655,128,939,714,507,449,100,765,072,290,956,148,
889,463,536,369,502,242,841,668,253,113,756,395,534,638,349,902,469,779,393,
475,532,534,639,610,235,832,333,140,977,124,592,252,359,101,465,580,167,130,
729,385,381,415,212,049,408,156,410,794,428,313,813,257,620,703,911,279,562,
608,595,353,208,024,555,358,631,551,432,032,050,676,470,535,618,873,530,822,
535,727,856,846,581,332,311,026,318,721,778,620,183,052,357,941,306,796,556,
305,841,814,557,915,449,996,016,219,977,816,938,676,856,448,747,886,461,746,
711,199,290,275,522,303,538,798,476,641,123,689,969,262,602,003,360,776,062,
313,603,823,534,164,306,186,185,918,159,640,853,351,866,326,721,459,855,454,
942,118,544,663,014,876,677,771,029,993,459,857,581,939,807,088,193,607,398,
009,517,817,011,493,728,178,567,730,818,971,852,522,147,054,941,960,334,490,
332,498,027,494,504,138,728,779,994,387,553,197,491,772,913,803,386,841,962,
444,112,254,366,783,263,658,912,151,787,609,846,599,504,507,545,099,998,108,
496,839,270,528,603,331,972,902,304,331,017,067,995,860,138,272,294,811,142,
525,169,010,235,375,327,737,599,324,553,192,153,491,590,609,455,262,229,883,
829,122,934,243,433,654,478,958,943,052,646,396,224,049,483,636,562,846,629,
787,792,674,923,423,399,524,652,935,707,198,363,097,376,701,338,986,785,890,
639,632,863,549,849,995,707,335,531,787,210,697,223,328,865,708,144,755,206,
218,044,478,908,750,625,193,946,747,248,697,312,181,363,472,626,870,099,125,
600,944,914,063,956,168,725,727,113,335,658,217,093,924,489,068,297,821,168,
636,009,293,888,643,612,144,530,331,993,730,072,431,565,404,790,328,114,875,
730,284,680,105,255,123,349,460,385,115,914,453,319,572,199,535,839,184,086,
335,449,368,957,835,840,558,525,274,686,847,573,132,990,816,760,844,556,802,
630,414,810,220,735,099,658,138,569,317,511,127,995,756,496,244,776,277,447,
146,915,810,369,847,678,142,769,793,757,197,280,776,143,814,593,726,855,873,
521,289,549,394,713,209,672,050,425,695,512,764,072,551,854,709,160,709,085,
357,538,109,052,691,351,652,179,113,838,960,623,725,465,773,934,507,862,035,
869,196,659,008,830,397,690,349,726,309,446,250,812,790,216,020,339,937,960,
103,440,749,341,698,400,933,908,982,360,293,706,524,749,737,573,702,730,497,
338,121,852,388,739,590,448,348,095,449,517,991,280,254,580,683,785,445,597,
878,038,186,629,005,007,780,142,188,869,941,865,090,944,747,390,023,247,245,
814,891,518,665,487,342,339,873,277,016,315,415,514,254,565,847,088,327,588,
232,031,195,807,864,841,800,080,998,551,069,479,389,448,739,914,547,507,105,
968,653,146,166,060,181,385,654,647,361,413,058,883,242,701,886,808,315,851,
951,350,497,290,916,856,288,782,599,012,412,639,403,959,741,385,101,360,297,
897,472,452,233,350,918,410,175,227,812,260,791,853,109,982,429,793,815,992,
882,552,323,700,206,380,380,668,102,238,677,608,647,303,868,527,015,881,921,
371,201,119,646,348,562,416,687,820,241,193,677,087,180,299,405,509,611,103,
119,803,595,822,472,801,288,499,891,231,287,054,379,099,221,050,529,233,414,
416,299,024,907,161,672,064,796,604,730,051,758,358,230,463,060,562,300,112,
807,263,920,176,069,527,088,701,857,756,347,256,010,432,449,969,633,939,322,
023,113,760,973,924,617,261,444,080,553,419,364,913,405,459,485,394,410,797,
627,568,742,953,718,212,229,433,607,722,505,119,475,464,348,639,866,297,432,
580,579,272,234,127,833,711,456,414,504,112,241,106,762,536,433,380,157,480,
773,574,522,025,022,194,692,721,392,189,150,620,361,749,822,564,704,946,778,
023,414,668,867,767,235,683,622,091,537,979,544,340,832,348,721,147,250,648,
624,791,201,389,909,381,034,142,907,051,534,379,454,481,331,596,172,745,924,
885,350,094,354,328,443,031,254,325,549,538,090,062,712,429,007,420,453,617,
828,416,073,838,524,190,801,189,980,650,426,908,407,812,681,162,320,459,842,
847,374,107,192,734,996,397,035,786,036,391,276,676,189,374,582,881,337,212,
291,098,939,672,092,636,703,382,807,372,283,613,172,214,424,857,005,142,911,
036,207,167,234,886,920,989,136,915,310,142,318,785,448,429,056,476,296,499,
877,318,255,227,762,355,492,625,497,866,411,206,770,651,282,054,457,355,465,
347,144,009,180,407,541,009,256,025,904,800,939,687,243,388,836,405,995,042,
703,872,352,348,195,203,484,005,119,732,081,498,326,637,839,868,906,025,368,
905,072,809,143,092,457,577,636,001,965,156,386,383,475,889,736,652,095,867,
026,360,262,467,850,927,539,980,603,711,505,551,860,616,366,510,230,918,365,
144,953,184,617,756,054,428,220,041,944,949,214,661,822,028,290,009,327,754,
534,593,702,114,483,884,442,499,276,987,384,601,130,101,041,651,037,812,446,
167,848,613,706,138,658,161,817,142,046,462,945,261,180,634,939,917,091,623,
278,478,935,329,628,503,330,285,296,919,901,870,771,148,454,814,588,044,566,
756,634,612,906,937,570,570,056,272,584,279,148,983,286,072,248,518,167,512,
163,029,991,290,874,077,283,550,357,075,238,711,737,651,884,858,074,238,165,
056,357,239,796,254,408,690,432,908,615,197,918,695,296,136,826,678,088,334,
829,768,606,181,890,717,786,212,968,560,831,762,930,791,839,577,299,952,254,
732,588,854,011,727,401,211,781,486,096,424,240,228,190,725,835,630,717,970,
618,793,721,679,091,228,566,531,826,395,633,004,536,992,310,013,575,529,142,
843,685,286,807,097,718,301,619,540,255,692,950,575,389,609,833,258,589,008,
665,701,547,481,579,972,684,579,456,039,286,039,826,362,913,135,782,667,849,
087,894,549,558,444,168,370,913,431,721,091,362,275,859,231,933,279,252,497,
323,604,266,418,817,353,317,532,252,414,803,277,718,145,709,340,059,962,013,
838,984,861,004,906,849,089,715,972,864,807,415,284,381,163,662,185,811,034,
127,337,873,045,128,712,462,405,193,202,477,784,889,204,559,042,303,310,753,
287,448,217,262,800,629,537,582,671,107,555,682,407,470,701,734,499,664,907,
023,393,347,583,560,917,927,169,722,228,621,550,560,686,663,681,615,216,508,
743,873,184,604,294,289,998,346,213,919,642,219,873,116,660,735,846,228,980,
317,762,817,251,452,081,574,282,813,530,886,939,568,721,188,392,021,681,574,
661,157,871,067,662,712,641,643,153,417,722,180,904,430,301,553,036,683,479,
451,881,547,932,576,367,580,942,311,879,056,103,792,963,981,215,623,980,888,
435,232,584,201,119,594,072,046,895,809,800,454,974,203,387,809,264,903,752,
825,719,337,558,755,294,437,856,718,779,395,058,055,742,603,379,692,374,296,
872,529,478,722,878,475,197,005,237,301,204,042,090,196,296,432,310,754,353,
394,301,507,585,669,480,698,363,124,850,373,869,086,241,695,141,532,074,290,
854,910,588,767,510,730,150,157,157,352,126,053,580,099,426,326,878,810,916,
204,247,127,159,130,208,771,588,930,205,961,472,064,357,557,739,222,695,125,
316,896,774,464,848,656,718,030,083,240,747,522,998,556,610,481,344,298,696,
331,003,001,727,195,544,705,030,735,326,916,823,203,317,084,295,183,379,692,
232,538,647,107,202,168,653,133,732,058,402,336,076,435,490,152,987,529,289,
592,593,514,124,796,977,420,831,624,304,233,224,978,275,948,022,406,610,076,
146,848,779,806,899,056,583,159,334,042,759,188,456,176,219,860,574,340,434,
675,739,382,727,210,380,921,468,160,052,997,294,785,059,768,476,129,952,291,
053,926,512,299,596,837,451,228,353,857,991,773,045,061,699,485,069,111,700,
881,464,324,821,559,352,892,451,373,642,514,046,721,130,484,048,220,870,609,
630,712,609,460,732,983,359,939,680,261,211,106,234,624,389,715,534,268,395,
781,659,893,304,468,475,495,432,941,197,441,132,220,119,852,794,533,426,188,
012,239,663,586,351,137,380,822,786,359,328,843,222,598,844,671,859,812,276,
362,616,935,629,828,990,545,733,084,062,549,837,908,431,050,523,765,568,380,
128,706,678,998,009,642,124,023,493,656,254,181,873,947,274,225,244,196,361,
724,642,211,473,947,557,127,328,035,204,537,730,696,498,738,331,111,086,815,
244,829,199,736,357,349,799,665,704,374,563,510,142,659,389,128,523,001,714,
162,084,833,516,126,139,332,912,529,764,396,195,221,403,262,539,833,099,426,
848,156,538,094,882,272,287,343,618,552,390,587,567,043,895,844,528,507,507,
313,942,098,768,584,034,309,507,757,191,366,916,784,264,066,575,015,884,560,
399,760,434,280,023,931,094,891,500,942,828,741,188,977,419,584,169,083,558,
676,035,735,251,332,044,877,748,644,012,224,811,363,524,245,714,965,055,643,
126,968,192,799,747,298,205,758,521,984,810,026,082,888,170,821,653,392,014,
561,204,563,933,987,906,293,352,425,733,849,413,958,602,674,527,546,349,612,
085,707,624,651,122,521,870,813,448,350,878,321,656,967,500,196,636,327,366,
619,057,930,747,519,820,852,025,400,984,158,925,576,140,934,711,897,684,580,
722,592,199,592,546,423,231,904,530,481,627,607,106,084,018,697,758,029,973,
696,124,571,887,875,658,875,730,714,150,728,177,221,924,176,701,409,694,879,
720,047,369,605,870,092,306,897,514,656,319,135,489,606,683,815,410,874,702,
612,307,308,841,882,858,639,684,112,829,532,290,135,199,197,195,998,456,224,
809,889,319,835,672,557,155,908,245,406,420,866,007,144,781,973,277,773,426,
872,282,555,296,425,395,190,210,440,436,107,150,128,068,051,847,601,715,592,
640,542,073,299,437,815,817,134,897,322,258,474,442,281,770,324,196,339,015,
859,775,264,183,607,690,450,683,801,701,929,461,072,340,159,169,681,141,994,
598,370,391,343,371,609,007,044,537,853,765,290,540,864,680,569,044,838,183,
276,983,189,685,017,495,961,839,005,846,992,141,070,037,150,356,511,921,472,
077,649,818,614,219,485,983,696,562,696,636,937,664,198,272,213,437,319,217,
306,173,067,852,400,603,969,984,359,443,005,161,223,174,327,509,032,388,326,
347,441,662,494,040,640,556,578,613,420,758,647,320,439,579,989,295,419,675,
117,752,753,002,917,693,502,688,081,118,865,951,925,249,781,342,953,626,302,
503,679,580,593,806,253,821,574,236,336,597,066,413,053,477,509,613,254,177,
219,706,060,801,150,471,287,562,779,085,993,954,299,257,625,701,503,526,674,
309,041,603,610,196,462,044,217,972,903,531,225,934,921,589,219,042,788,894,
125,207,236,526,109,549,629,555,341,980,099,418,586,765,210,030,741,206,779,
364,977,716,640,827,822,615,979,345,505,949,925,406,209,086,294,160,574,339,
945,017,636,720,953,600,879,390,148,872,313,036,983,246,366,310,670,913,888,
832,574,894,197,782,259,875,702,013,178,374,258,861,133,402,969,311,985,690,
634,007,194,365,888,994,207,935,256,715,135,043,707,599,092,164,751,926,328,
812,438,178,706,464,004,945,077,668,207,884,450,575,795,234,991,370,566,566,
897,191,932,659,884,854,020,610,120,386,936,530,366,832,991,166,597,305,218,
106,121,658,915,908,032,577,028,667,515,144,580,282,947,830,754,059,754,983,
124,824,822,082,017,918,841,745,556,755,798,444,649,142,071,457,754,090,025,
093,367,850,084,932,970,684,014,698,537,234,831,958,839,762,588,603,783,389,
640,007,798,466,023,853,186,869,781,438,498,375,816,279,862,499,262,243,306,
369,553,004,602,217,775,054,591,687,639,333,666,570,480,410,399,021,548,328,
661,000,598,348,052,695,800,816,608,735,174,486,891,496,431,470,122,092,834,
873,821,824,467,965,357,778,748,079,272,967,634,662,620,967,714,888,065,830,
574,190,599,583,154,470,124,429,623,471,789,297,692,129,746,671,546,954,500,
274,969,953,241,803,989,994,362,652,243,381,270,290,861,888,785,337,513,952,
125,802,354,550,171,664,304,968,754,325,921,930,244,125,538,665,757,680,168,
156,877,104,821,905,333,936,807,265,081,789,908,761,420,067,064,825,285,751,
409,985,595,503,644,078,569,815,185,629,383,603,264,456,861,729,640,577,360,
690,783,689,622,889,012,374,135,235,855,950,902,199,243,344,176,816,316,640,
232,799,787,624,295,483,901,444,887,423,108,468,169,151,269,471,261,784,249,
024,820,629,925,019,801,339,686,022,117,344,115,794,428,721,179,080,556,274,
969,038,533,722,319,269,507,684,157,316,336,874,690,800,767,750,435,795,016,
700,196,547,062,562,739,791,857,630,487,591,514,469,391,704,753,362,064,089,
635,267,986,212,441,445,285,290,658,760,864,687,025,486,245,560,143,574,961,
443,660,303,975,670,224,188,287,577,521,438,532,859,487,878,638,250,046,889,
404,599,816,816,713,985,494,009,935,068,812,097,207,333,430,595,834,703,384,
875,144,689,429,765,760,131,546,562,367,568,795,717,410,173,206,758,564,033,
752,424,133,637,475,548,003,361,971,537,999,404,314,693,559,231,220,651,015,
191,917,008,731,805,352,422,911,097,980,291,317,333,666,994,666,654,137,327,
227,536,844,193,217,745,221,514,277,621,934,731,418,997,123,377,576,015,776,
543,453,866,834,005,321,803,668,741,210,105,360,977,508,309,570,539,398,312,
743,711,945,289,894,570,360,221,451,119,524,278,026,688,074,889,691,105,975,
394,479,756,518,502,452,321,376,776,173,741,869,860,869,469,530,042,933,012,
114,271,330,207,263,949,210,608,814,275,442,304,991,490,421,120,291,735,330,
227,931,981,949,087,934,815,526,409,684,401,873,538,857,559,255,047,535,905,
398,453,441,495,185,841,275,530,041,576,014,440,951,585,795,075,584,677,463,
714,322,510,357,310,395,058,671,666,661,920,733,229,816,914,767,378,263,233,
536,644,183,218,676,814,103,724,398,018,311,129,535,199,753,809,925,559,047,
815,116,366,017,916,270,915,810,506,107,304,434,795,124,764,918,708,333,126,
257,294,457,433,113,958,983,473,425,206,307,608,433,895,898,553,403,514,435,
200,912,613,766,619,555,043,822,104,875,714,775,678,558,988,795,604,365,848,
224,385,419,718,007,446,128,377,626,783,577,754,871,037,038,114,457,315,530,
651,288,218,977,514,032,943,707,143,622,833,882,829,734,757,858,399,696,950,
819,649,423,222,827,148,545,358,858,701,852,707,761,907,733,432,270,722,709,
111,180,904,946,220,059,823,094,344,299,772,201,737,718,974,107,213,074,377,
266,103,822,082,045,941,498,756,391,622,284,362,704,944,463,000,263,935,263,
921,291,740,254,108,321,096,178,620,943,673,970,447,291,300,130,339,856,078,
067,233,649,580,764,370,183,801,521,642,986,696,534,522,264,026,418,847,345,
301,779,379,943,582,414,430,418,397,240,809,710,485,346,172,922,565,697,023,
074,715,162,839,224,488,076,381,725,309,351,598,740,687,448,678,873,702,653,
116,625,394,022,488,506,119,921,241,405,889,370,900,499,247,189,793,841,916,
954,007,118,850,957,423,736,737,863,669,853,423,845,516,251,063,980,771,441,
018,466,762,181,334,829,025,426,064,675,043,267,638,575,271,056,132,288,159,
135,896,728,348,871,887,666,980,376,627,197,589,760,103,801,567,915,186,064,
268,581,352,881,297,152,967,603,402,269,033,060,037,775,930,723,794,353,338,
484,194,979,983,885,358,803,930,305,088,881,823,541,405,895,670,596,738,322,
719,143,173,011,762,763,386,791,597,713,557,349,061,657,788,671,264,014,577,
308,642,747,813,723,434,304,790,643,590,009,708,177,834,399,399,875,083,175,
958,797,025,955,342,937,994,262,123,271,176,874,890,527,226,215,981,583,862,
083,192,252,644,997,200,881,134,172,722,066,316,834,185,045,152,994,593,261,
948,513,980,071,508,198,042,345,313,686,221,296,742,073,858,212,942,794,956,
976,321,279,671,075,363,186,116,426,866,599,878,479,688,332,599,944,558,106,
472,208,106,440,478,005,185,410,887,672,817,437,346,874,700,136,805,856,610,
191,787,091,454,924,606,842,883,839,878,430,174,638,888,785,006,687,939,916,
480,979,550,595,948,775,088,645,816,896,678,524,643,596,785,880,208,389,274,
260,608,437,099,159,053,068,624,132,127,689,462,530,983,678,361,623,480,649,
080,487,033,347,697,611,205,879,393,684,590,782,290,498,416,410,224,958,935,
785,103,157,694,078,936,697,318,517,756,411,978,627,436,230,268,510,620,658,
723,711,301,656,299,615,581,326,696,662,573,178,688,167,797,551,048,863,847,
734,034,532,862,095,329,146,058,223,100,848,217,905,710,103,238,787,721,352,
266,329,742,737,576,612,687,929,197,023,645,561,072,346,803,373,552,396,283,
608,313,337,907,462,004,821,288,070,218,111,988,743,538,289,394,025,695,820,
875,181,169,519,222,343,263,136,698,412,221,414,867,985,810,510,042,871,818,
928,205,158,766,343,803,390,756,362,477,483,158,256,996,331,102,673,001,490,
898,575,335,889,786,392,021,478,780,557,619,295,484,873,333,390,255,674,663,
213,346,056,504,998,217,885,681,635,415,409,024,793,588,193,343,849,988,636,
752,195,031,486,679,426,974,005,455,483,410,007,648,211,032,441,309,259,417,
671,002,809,235,691,967,148,559,900,040,081,835,054,846,593,551,260,627,576,
613,102,632,515,743,403,482,614,649,972,686,583,395,076,821,455,499,214,894,
347,950,155,312,455,578,173,754,617,031,059,166,109,096,015,125,398,606,851,
105,269,201,504,281,469,775,313,618,739,645,407,437,800,550,021,880,526,864,
685,955,443,525,668,723,412,002,440,809,481,794,932,271,432,983,104,966,332,
579,052,216,346,526,987,179,224,061,719,449,579,481,741,103,338,637,439,588,
698,540,251,078,313,213,722,911,091,589,113,328,159,942,215,395,466,907,840,
441,135,448,327,016,471,901,855,742,726,186,985,918,607,203,792,375,645,871,
674,293,662,718,402,239,949,758,117,402,467,484,389,062,108,500,973,334,988,
981,708,595,782,580,410,265,153,170,550,103,641,659,606,695,702,563,407,793,
043,924,422,394,086,835,420,474,458,357,256,741,215,553,023,024,813,382,236,
417,418,955,989,975,619,141,837,075,279,012,894,480,986,287,716,286,770,327,
804,193,768,125,931,169,452,245,932,641,307,966,718,837,833,220,690,696,065,
735,466,186,936,048,701,270,736,342,893,393,293,739,531,499,830,114,493,909,
725,419,462,869,858,557,173,011,482,725,857,145,388,495,919,105,474,729,725,
239,391,570,163,454,899,092,792,978,733,821,874,380,597,746,264,691,261,567,
326,330,295,108,249,358,804,005,816,109,152,013,225,529,576,610,042,566,099,
819,661,147,995,686,104,170,282,477,863,578,923,867,717,530,840,193,584,502,
036,892,098,234,272,626,980,295,980,193,878,093,762,077,215,646,658,360,237,
430,930,611,027,065,775,923,132,947,817,098,259,629,415,817,393,926,879,643,
824,357,892,015,252,016,818,718,227,882,030,181,822,563,773,618,711,055,395,
097,475,773,555,917,190,213,292,181,500,550,713,038,735,072,419,405,311,899,
825,528,508,364,912,201,714,019,932,524,824,649,512,656,409,716,927,347,190,
945,866,175,250,142,407,401,031,068,367,112,204,186,590,048,046,563,933,651,
221,846,369,485,602,849,351,170,814,622,825,111,611,248,736,818,370,985,342,
133,081,021,405,647,778,722,131,251,537,030,757,383,366,172,931,554,209,819,
662,556,053,124,797,711,235,039,764,460,988,932,481,465,897,640,651,903,629,
890,118,007,686,757,468,620,555,902,067,137,915,969,980,681,611,138,143,544,
411,838,601,306,108,524,797,169,817,451,279,900,262,629,522,217,485,703,212,
557,490,704,083,402,480,209,554,999,227,625,104,214,504,921,882,422,311,220,
952,710,623,634,388,348,421,771,794,706,364,310,621,004,754,043,360,665,244,
497,750,557,905,829,397,937,129,271,263,950,889,726,438,894,673,288,310,966,
476,388,804,261,507,618,202,929,755,630,502,579,306,238,681,086,660,823,689,
082,146,774,214,380,592,439,045,361,762,090,627,245,020,014,642,974,734,051,
643,640,972,226,215,671,578,867,097,571,492,504,588,518,428,348,596,223,824,
570,942,519,755,949,533,363,762,261,838,642,244,760,703,673,037,668,744,366,
658,436,922,750,952,914,111,879,760,262,886,300,519,858,397,957,287,964,974,
826,234,895,756,426,474,415,782,874,306,841,683,583,141,670,761,242,957,538,
252,684,643,458,148,973,395,184,306,429,812,695,301,032,249,545,433,896,263,
302,071,659,665,229,950,030,765,900,698,851,518,006,645,621,955,067,503,793,
788,566,644,593,528,968,344,743,093,465,400,957,688,892,931,908,140,021,177,
020,261,117,075,569,001,078,416,175,660,228,172,395,659,932,245,225,295,409,
854,851,892,509,885,252,928,822,061,714,031,962,013,696,586,545,922,429,661,
526,310,331,988,105,256,508,068,862,984,711,652,008,294,012,107,243,736,030,
143,545,418,230,562,914,606,792,665,942,929,048,090,080,726,466,485,600,166,
554,675,082,995,142,901,890,426,836,656,084,311,115,788,016,770,852,120,699,
710,081,668,363,742,399,026,497,646,975,133,471,601,356,448,017,164,953,763,
760,493,535,154,600,626,600,021,213,562,064,126,669,186,471,386,364,815,255,
156,036,846,239,242,417,456,170,404,639,285,149,617,248,326,191,069,814,266,
286,881,721,730,232,077,142,223,033,220,243,088,996,400,110,421,251,375,845,
022,877,726,824,068,986,006,998,092,504,890,919,235,426,383,514,309,271,230,
387,383,337,413,820,598,189,044,581,847,422,652,740,792,653,090,036,100,306,
230,295,410,190,614,245,748,514,031,383,728,524,723,434,271,196,468,257,297,
813,267,295,696,577,190,654,516,339,654,103,746,804,410,119,022,323,816,010,
253,058,753,169,930,747,482,225,801,684,892,030,628,570,892,759,296,217,353,
045,457,927,306,260,465,058,583,924,131,516,556,040,616,799,447,593,637,452,
023,647,447,787,165,099,630,806,893,125,787,380,377,452,658,301,568,697,510,
338,887,750,335,397,974,699,903,590,313,992,824,664,222,568,662,670,486,388,
111,544,673,357,698,298,582,992,076,549,130,138,111,331,200,133,054,926,877,
327,627,058,321,958,615,218,654,392,734,457,257,440,453,408,426,341,136,396,
563,700,681,763,243,246,184,052,109,624,621,015,283,601,569,718,146,846,161,
909,380,975,397,230,712,916,620,236,616,229,849,018,394,234,852,617,687,275,
829,943,236,943,022,468,059,976,653,392,403,187,857,014,801,917,796,736,818,
043,671,594,880,406,477,225,781,874,792,655,444,971,889,228,883,688,478,353,
848,916,972,620,066,154,033,006,582,846,792,524,450,257,356,279,397,107,411,
949,323,867,199,003,258,087,348,619,582,446,606,219,654,040,139,053,924,414,
933,929,837,168,415,776,909,903,372,006,930,086,324,075,330,218,239,703,083,
393,482,390,529,772,585,914,590,603,538,056,028,304,192,643,421,084,289,969,
875,199,481,256,339,864,891,395,763,920,033,367,201,405,508,665,989,239,748,
425,125,761,440,831,489,938,852,416,585,408,965,146,901,513,657,130,727,450,
553,184,964,984,991,257,664,902,022,801,551,387,557,313,577,386,524,471,552,
091,158,458,410,297,870,529,810,391,084,430,809,954,916,702,978,822,664,328,
352,528,184,543,839,072,435,288,797,661,597,494,787,649,284,722,916,519,432,
611,970,340,619,681,277,521,816,492,408,435,657,906,077,528,510,738,061,947,
664,768,346,186,760,227,734,902,844,785,194,826,343,026,434,177,017,779,326,
374,315,418,374,403,569,386,062,560,348,626,505,616,433,412,702,328,830,848,
246,234,882,176,706,311,602,896,022,420,786,822,799,227,442,976,098,629,680,
260,912,456,365,161,001,313,866,779,151,200,993,338,008,385,425,404,566,429,
766,272,385,176,264,252,492,423,426,266,810,110,725,514,362,564,099,149,191,
875,981,380,841,482,190,412,156,743,528,222,797,704,742,796,320,850,452,215,
934,231,563,689,456,851,231,420,925,797,515,294,680,340,726,033,268,960,063,
147,447,640,130,982,437,978,843,320,003,592,985,314,370,339,044,885,876,396,
158,731,661,526,809,017,788,475,420,101,689,344,827,938,181,439,888,571,496,
347,307,663,606,043,782,193,873,960,362,744,229,917,335,354,446,059,238,376,
106,009,371,765,330,048,698,653,551,974,676,814,714,959,768,035,267,603,996,
102,244,332,963,252,099,320,503,523,707,448,975,607,448,683,421,146,998,194,
070,113,191,634,473,715,150,493,076,624,927,331,121,102,530,131,652,315,714,
684,095,995,816,819,755,173,730,574,755,998,506,788,405,461,877,353,912,454,
875,039,251,635,203,163,347,217,906,323,684,998,810,277,611,010,382,942,081,
552,834,753,630,416,099,520,789,481,666,379,061,106,568,924,152,188,196,122,
299,894,047,923,135,797,717,865,944,810,604,900,777,457,980,512,787,965,771,
861,364,407,254,135,339,195,699,684,131,045,031,403,586,626,319,192,119,544,
244,565,843,990,167,947,512,850,313,279,015,969,864,342,778,646,452,912,086,
010,090,226,976,145,182,348,960,947,875,720,640,728,366,590,633,037,409,513,
305,640,152,562,898,978,990,258,388,973,229,503,831,474,372,192,815,341,295,
689,534,234,160,135,601,336,443,279,102,679,742,192,594,142,572,111,036,870,
456,789,830,638,051,113,178,188,739,235,105,081,950,341,200,747,195,633,751,
109,043,731,989,940,483,933,127,369,011,904,089,222,798,117,108,249,792,008,
388,103,035,487,339,566,684,193,197,880,841,347,836,764,970,855,231,465,368,
036,258,870,269,303,735,894,539,675,811,189,157,176,220,466,994,746,599,577,
163,632,076,779,009,248,359,568,914,717,371,962,450,350,978,351,965,928,557,
259,342,253,810,090,469,629,052,197,703,388,443,663,300,721,325,595,058,010,
547,088,643,475,563,831,656,366,763,332,556,749,423,697,303,247,044,018,644,
789,924,461,087,305,162,020,148,995,184,946,393,500,938,020,059,768,477,697,
698,079,065,191,902,458,107,599,089,022,618,446,445,871,352,503,279,679,326,
651,950,541,065,562,209,682,911,499,479,140,259,309,669,355,802,137,034,977,
553,148,252,727,931,089,075,250,009,214,710,857,009,908,750,093,250,826,851,
557,189,617,455,170,802,350,146,979,461,638,838,010,652,442,970,292,734,724,
577,071,322,022,975,347,013,222,891,564,347,180,331,520,486,505,025,084,889,
180,707,622,861,504,770,521,417,424,296,184,992,599,606,323,773,010,878,660,
316,573,252,537,241,454,566,721,825,550,477,115,196,150,420,958,597,415,565,
558,021,635,728,264,757,014,745,415,122,959,597,688,412,433,512,534,850,274,
890,758,980,527,658,380,761,129,507,326,534,538,425,868,638,894,597,623,227,
172,385,274,323,158,401,656,362,908,815,108,098,581,900,622,633,432,396,470,
371,054,118,423,992,524,330,192,134,304,060,625,477,190,498,848,975,828,774,
799,543,604,481,439,657,031,783,943,395,693,352,928,026,198,593,687,005,052,
401,221,861,950,522,172,579,433,720,368,813,932,677,126,514,519,464,360,726,
359,588,777,883,662,657,307,399,625,990,795,959,465,659,043,034,217,421,177,
252,798,121,589,981,544,322,445,034,778,623,524,007,161,166,273,860,942,797,
120,536,376,593,797,843,827,228,484,451,582,015,185,053,482,176,079,306,123,
847,201,824,899,042,589,275,915,549,299,365,777,382,062,900,172,569,814,887,
153,203,606,342,819,827,810,661,201,591,405,149,149,238,647,367,930,975,142,
207,205,468,572,358,250,955,057,905,521,970,017,256,803,682,947,144,170,802,
309,047,184,728,888,110,741,464,056,295,582,502,215,108,420,491,039,129,677,
274,334,842,727,501,332,307,704,863,724,917,260,018,106,438,192,621,598,998,
645,190,327,048,937,239,426,415,709,791,551,636,576,670,720,677,822,891,055,
796,088,556,331,141,253,787,982,180,127,978,885,980,706,208,132,188,700,775,
638,175,801,081,070,496,760,468,559,145,600,019,793,120,016,800,809,380,367,
036,704,768,344,356,862,759,613,877,803,471,896,532,772,971,915,290,305,258,
496,049,673,045,814,272,391,162,105,080,321,751,235,977,559,183,478,584,047,
734,950,023,427,860,608,249,575,558,399,503,120,795,332,557,853,730,844,790,
220,465,259,735,801,162,287,787,559,657,147,318,089,369,313,062,419,146,882,
402,635,315,472,242,216,488,086,522,858,633,516,437,880,192,512,178,683,120,
322,150,496,903,697,865,265,152,668,122,886,751,086,222,034,916,354,056,628,
276,844,002,258,443,501,354,089,097,749,106,634,670,464,811,261,235,951,628,
430,293,696,934,372,823,653,259,213,294,179,863,658,573,679,932,043,763,995,
516,363,113,735,574,710,383,617,446,096,298,400,908,363,905,854,933,690,299,
097,149,283,981,194,707,174,593,156,233,902,652,811,212,960,498,482,239,399,
604,383,825,644,550,551,249,426,923,707,948,892,570,054,204,717,087,079,301,
890,846,624,187,230,409,369,619,188,052,854,612,729,017,972,813,765,187,519,
252,990,237,782,886,475,658,067,426,026,211,591,543,104,249,700,684,567,328,
249,149,748,296,795,270,607,155,007,815,903,320,960,520,045,203,219,739,672,
284,696,142,562,773,190,006,499,200,729,518,683,778,900,062,310,374,850,235,
631,870,199,342,864,183,564,101,340,551,524,938,243,005,705,396,327,572,356,
730,508,656,339,357,106,330,238,731,823,569,232,853,777,704,804,823,628,402,
325,979,455,834,062,445,405,548,257,967,558,496,266,632,418,782,678,576,409,
202,000,922,425,698,501,914,543,181,168,688,312,619,114,781,029,756,315,532,
159,306,565,188,194,483,595,766,419,773,850,237,397,996,125,382,266,172,460,
533,958,548,653,018,099,863,062,058,655,032,337,231,135,501,573,637,225,394,
262,300,622,641,441,406,275,324,639,100,295,555,280,599,838,917,496,665,508,
729,796,519,739,065,227,131,177,740,207,262,076,740,185,175,703,286,225,786,
316,617,423,644,230,652,013,037,431,880,876,724,522,380,521,985,502,366,318,
068,359,205,585,191,214,659,139,787,529,411,262,390,399,918,831,210,531,775,
024,245,307,905,123,708,924,635,348,615,996,812,777,376,888,490,992,453,929,
177,470,194,105,216,452,673,879,826,633,553,846,697,946,780,255,529,327,274,
028,080,166,597,136,915,932,111,968,496,553,412,547,201,903,463,233,851,971,
082,695,114,876,440,702,568,776,470,600,448,028,975,537,142,595,219,090,047,
167,743,396,962,726,119,789,481,626,346,674,796,196,246,665,039,044,778,053,
276,248,127,459,225,388,074,116,193,009,024,616,687,500,296,703,280,096,451,
066,811,891,122,698,350,143,867,360,461,827,747,133,195,575,336,364,992,972,
893,935,010,188,300,304,410,843,293,689,464,541,879,428,382,639,459,273,228,
937,836,135,325,500,811,679,952,603,106,111,543,320,255,051,848,630,793,382,
427,099,483,621,227,766,225,164,323,547,939,137,149,647,858,494,278,653,045,
196,506,370,142,465,469,348,921,687,502,322,093,071,994,406,529,420,040,258,
870,836,874,895,395,359,008,655,320,934,717,791,911,135,158,789,169,195,958,
567,340,745,941,161,884,915,311,263,525,344,315,105,676,889,681,128,420,258,
778,353,694,902,561,122,647,684,950,084,416,964,944,319,920,022,654,958,816,
949,698,761,525,458,539,952,016,741,246,270,261,241,085,689,104,874,690,710,
455,057,829,877,218,977,388,010,688,201,858,081,826,919,670,705,308,576,205,
056,449,053,272,383,757,600,188,321,249,471,849,110,069,167,541,715,138,282,
855,511,605,913,328,089,908,149,088,781,546,346,776,228,286,351,394,059,794,
954,978,645,869,456,745,315,025,545,622,058,268,474,959,858,677,321,767,683,
330,748,728,806,835,505,481,376,887,902,290,737,217,255,081,108,242,555,133,
666,386,619,806,377,079,936,029,962,484,354,042,160,166,327,708,174,730,225,
167,090,131,433,780,433,789,391,954,037,957,445,598,136,024,514,873,134,933,
081,258,723,314,396,136,826,398,772,934,909,454,264,705,328,934,115,967,123,
783,714,719,239,902,868,912,666,645,201,700,936,952,079,315,174,917,936,821,
396,841,288,285,502,125,093,702,855,540,667,152,417,645,695,113,179,854,883,
438,321,554,939,049,273,774,586,074,460,041,040,408,341,647,824,644,143,483,
816,457,408,599,056,887,945,214,798,872,887,467,001,620,897,758,217,964,151,
503,466,920,142,608,901,670,492,928,372,226,669,328,748,098,783,586,382,228,
920,789,799,534,413,649,457,890,333,574,482,999,061,636,905,547,042,012,202,
701,430,456,130,137,032,730,617,613,565,446,179,161,908,301,307,391,684,308,
052,474,593,905,870,913,408,580,280,914,711,310,788,478,560,143,837,939,888,
743,998,497,501,984,203,887,514,532,072,880,205,282,912,616,476,385,222,537,
253,186,621,949,710,442,601,605,982,007,459,219,259,591,494,847,672,114,638,
854,388,725,773,552,843,370,673,025,844,817,896,100,936,312,645,175,096,761,
755,620,081,895,783,508,019,044,856,128,384,125,362,480,911,744,019,708,099,
050,517,892,513,299,200,046,010,059,815,959,383,996,438,219,721,534,744,904,
970,797,524,297,246,918,840,941,470,114,362,857,803,879,138,487,335,037,907,
011,521,526,693,388,127,308,331,553,628,199,194,013,987,075,368,590,812,202,
915,160,287,132,400,206,219,295,458,676,098,789,816,606,819,966,563,317,436,
346,286,556,330,096,001,996,670,208,983,956,049,095,340,643,091,634,218,915,
011,850,119,814,961,533,353,323,755,196,893,386,249,443,388,701,255,308,015,
695,208,638,050,568,604,303,214,582,196,325,856,576,240,643,405,649,217,545,
210,592,091,408,234,768,146,213,048,293,052,527,279,710,815,453,939,992,750,
650,534,747,799,667,620,473,669,659,676,688,117,248,572,167,476,750,313,759,
368,422,883,514,990,047,112,071,812,625,434,571,940,050,328,255,121,899,662,
139,061,699,370,162,303,778,642,967,885,262,197,517,186,642,675,486,352,521,
295,859,505,058,395,769,103,290,482,996,037,901,742,259,955,378,947,368,815,
730,244,773,521,413,553,383,049,603,841,914,929,340,828,794,551,072,504,149,
018,397,404,789,450,156,696,686,181,413,289,189,062,776,650,358,287,530,116,
058,586,959,625,344,882,928,403,108,348,385,749,214,176,159,039,550,461,607,
305,467,885,553,546,497,478,125,540,531,646,632,663,668,387,688,743,859,538,
158,058,463,729,238,559,717,680,717,124,253,638,866,098,446,014,483,466,944,
765,584,558,848,970,433,834,203,956,707,779,682,240,781,639,216,802,504,379,
554,761,394,625,050,939,604,673,441,542,140,842,483,194,729,246,154,002,611,
008,419,209,724,201,618,586,419,128,110,061,226,901,518,416,206,329,838,814,
022,467,380,841,475,605,724,979,454,349,470,061,940,712,329,506,858,304,209,
222,229,206,107,631,923,702,234,347,570,767,278,825,798,684,836,929,446,851,
155,596,058,972,186,791,029,815,440,195,726,357,171,762,670,423,284,039,000,
309,058,353,133,406,970,836,477,836,587,846,565,624,213,023,999,328,501,486,
543,712,407,233,522,930,874,168,952,767,651,752,423,776,632,294,722,507,180,
863,596,373,104,637,576,417,267,349,214,502,893,817,436,771,934,620,655,857,
063,583,718,698,042,932,799,436,890,263,897,879,564,610,972,220,220,926,166,
665,647,788,422,862,368,191,580,968,439,050,702,085,495,069,059,421,658,324,
399,165,873,678,319,513,229,434,724,466,959,479,062,600,388,066,494,923,337,
714,261,546,195,621,708,887,975,787,183,875,132,784,407,460,095,161,723,820,
587,014,902,351,559,724,548,942,086,663,839,299,665,574,121,787,249,724,281,
501,820,031,514,626,313,130,872,621,948,631,077,625,462,450,021,672,450,277,
817,117,297,472,111,326,227,127,809,267,500,874,991,014,868,311,427,772,367,
006,009,553,062,931,757,219,676,419,803,670,213,370,313,277,735,044,518,974,
204,986,615,513,662,070,680,188,269,722,173,385,516,239,930,539,834,904,885,
023,096,882,159,571,976,309,724,770,320,710,001,621,608,018,570,312,371,894,
520,858,698,840,400,782,987,112,417,177,770,108,507,241,852,508,062,236,569,
002,174,990,032,205,577,074,707,108,639,438,375,707,813,596,364,988,503,749,
972,486,192,876,229,310,908,461,803,779,374,853,482,601,806,406,043,338,202,
068,289,936,386,027,938,285,678,772,766,169,624,902,066,920,520,502,670,228,
979,031,334,015,347,395,835,330,064,719,095,982,354,483,327,410,418,732,403,
181,899,243,569,451,580,547,702,675,826,453,091,666,662,938,487,481,725,133,
915,476,326,501,432,680,109,780,878,779,507,663,210,539,221,268,625,202,594,
656,903,442,824,479,618,242,555,011,118,769,306,384,450,559,825,098,009,200,
881,380,321,092,325,622,318,805,220,618,965,466,425,598,407,555,979,995,660,
497,267,048,266,391,003,169,569,950,378,357,496,515,300,305,868,005,555,403,
084,762,958,776,231,089,704,943,462,813,246,641,234,139,217,131,499,067,766,
888,355,942,983,833,344,904,821,182,143,071,454,415,425,295,856,911,690,423,
715,931,594,055,827,198,352,283,588,359,755,033,783,529,907,080,121,070,223,
127,857,928,473,226,652,685,714,326,227,241,103,975,082,726,085,507,728,396,
109,272,124,525,432,985,887,207,687,423,958,562,031,029,440,989,978,359,345,
441,165,442,209,730,941,325,123,211,629,736,087,178,983,757,254,914,657,570,
501,000,864,419,851,913,941,058,838,221,322,687,158,051,492,252,373,501,267,
347,689,960,004,895,339,488,804,010,786,489,972,288,135,932,737,463,242,431,
472,298,303,373,583,502,803,317,595,728,129,621,717,223,853,040,862,449,235,
080,047,349,882,818,390,527,966,469,931,455,144,349,718,655,779,569,532,600,
143,813,645,837,862,850,260,869,329,999,763,094,753,297,892,761,350,166,333,
690,556,716,259,085,310,992,849,414,066,127,756,571,600,882,919,536,078,341,
551,150,005,312,177,517,609,687,269,433,779,654,451,925,721,420,477,252,276,
157,306,450,075,257,565,462,751,067,124,731,367,637,179,044,002,839,015,478,
907,646,964,716,650,654,334,288,659,888,535,436,808,691,531,041,056,918,435,
088,722,014,846,659,889,598,885,907,788,188,734,882,531,336,649,183,008,696,
625,462,094,311,407,480,047,846,794,894,262,385,103,891,426,520,404,042,248,
145,583,883,362,591,177,467,515,307,386,964,093,142,952,360,152,274,031,412,
806,605,052,432,773,622,879,061,250,007,299,651,218,401,895,221,992,087,767,
959,762,330,681,052,141,198,763,931,954,751,292,235,692,346,875,007,332,959,
269,791,586,754,212,830,051,903,542,040,397,876,237,027,848,894,771,822,966,
669,922,203,629,616,149,070,160,296,533,840,418,331,765,895,529,125,211,026,
127,362,108,444,043,960,019,944,628,583,210,857,831,378,906,294,338,375,602,
964,258,517,162,044,285,601,453,095,580,831,030,598,871,721,812,566,048,365,
971,958,751,697,067,354,857,970,580,729,787,260,561,781,490,700,865,108,694,
407,029,735,239,893,798,751,832,856,640,458,183,018,040,893,840,818,126,494,
126,892,061,004,248,048,945,021,686,130,259,091,250,837,587,587,988,470,042,
835,392,582,845,935,054,738,696,724,917,703,592,992,164,042,573,344,104,551,
919,932,810,374,476,309,253,888,386,107,739,088,808,043,131,046,108,816,634,
934,381,662,181,289,909,476,126,883,391,258,521,513,751,672,214,345,718,189,
458,479,016,337,570,053,990,850,382,861,414,715,602,296,159,007,767,307,921,
597,109,967,275,333,802,217,864,084,851,400,301,722,686,088,309,687,175,132,
339,846,676,644,762,113,243,346,076,651,768,764,000,817,303,539,542,513,244,
667,795,933,179,163,029,612,832,808,519,814,304,382,453,469,727,063,185,845,
165,582,210,558,793,942,523,678,278,463,052,152,323,209,886,771,123,273,946,
238,831,978,175,604,337,017,355,283,921,291,236,124,341,595,892,829,236,837,
183,621,577,367,913,741,836,771,903,876,349,452,829,027,078,100,825,137,237,
607,692,717,320,626,373,523,839,202,038,007,524,465,327,777,315,515,045,274,
214,229,196,014,266,350,210,344,250,805,942,009,441,362,848,158,207,500,920,
795,425,653,326,030,084,060,526,960,387,383,029,079,561,619,371,237,735,867,
307,828,088,086,571,985,493,737,182,566,964,447,108,920,182,031,086,769,204,
038,778,206,814,935,854,429,305,655,938,362,937,566,915,049,182,440,421,636,
827,378,694,274,665,877,190,820,413,672,110,725,965,449,804,888,299,211,200,
039,428,384,183,480,220,870,165,388,131,844,076,371,905,471,878,330,777,338,
715,164,005,488,135,787,153,118,879,239,500,545,988,942,779,183,790,052,459,
298,824,081,412,330,657,424,071,210,213,445,298,264,347,893,651,094,136,478,
059,916,815,102,200,240,641,407,412,203,059,940,648,751,576,041,884,140,720,
337,243,758,917,324,402,049,513,792,301,174,654,757,124,689,246,831,823,455,
757,569,602,719,393,650,183,354,469,714,846,823,722,328,546,694,833,062,412,
459,321,280,415,942,811,850,876,647,261,773,776,716,924,459,270,149,093,360,
482,175,683,898,191,602,441,955,765,960,171,035,110,841,742,610,706,668,640,
793,291,104,969,621,865,819,750,856,868,955,173,692,255,199,965,258,137,647,
533,279,715,980,075,851,154,419,881,377,006,548,856,226,210,441,329,647,563,
914,314,796,428,165,333,945,485,739,674,483,572,877,462,818,371,073,668,087,
968,403,740,664,036,531,593,801,825,960,344,018,055,011,484,051,641,964,238,
505,647,951,162,164,166,640,916,802,168,831,495,438,628,647,009,567,253,010,
357,309,210,517,194,808,993,977,398,744,252,023,309,118,533,485,496,509,425,
528,178,331,845,726,824,967,505,090,929,877,213,242,502,750,201,120,118,252,
674,122,461,711,180,879,308,490,126,041,971,492,987,151,432,284,888,063,112,
180,720,020,386,122,819,304,742,640,559,054,423,973,498,943,967,573,814,598,
527,250,139,248,593,909,929,043,713,480,086,954,401,649,764,134,882,439,241,
921,332,356,358,854,488,749,673,068,751,303,373,273,486,188,692,432,761,780,
796,112,953,299,216,223,531,160,861,138,328,299,276,151,739,748,546,391,043,
624,873,514,042,362,950,614,783,679,784,760,349,011,797,115,846,098,807,767,
777,297,113,834,513,268,544,744,866,080,281,308,544,916,814,164,258,451,958,
046,414,372,968,003,024,137,591,864,910,373,973,673,961,661,260,439,088,381,
233,224,105,260,449,694,126,150,688,652,180,492,949,670,269,719,137,204,077,
987,258,887,426,579,481,184,624,688,851,995,555,189,106,551,147,843,405,197,
307,150,123,357,175,780,237,326,201,225,000,747,424,636,620,382,498,696,718,
222,331,792,651,979,586,572,905,261,656,529,718,858,003,588,458,050,799,830,
833,484,448,172,714,380,911,687,018,581,676,495,069,262,163,054,300,257,010,
682,161,925,377,104,217,867,476,868,710,006,425,128,687,852,405,788,536,650,
719,832,867,972,852,573,397,648,787,195,630,927,306,508,359,994,086,040,674,
792,606,984,621,012,933,476,140,831,300,893,975,860,010,070,507,073,747,928,
456,627,377,603,221,910,322,637,429,549,485,670,835,717,781,145,775,896,050,
652,207,739,964,319,123,470,527,192,100,760,533,099,758,470,153,468,761,793,
416,763,628,871,960,257,827,074,996,669,948,918,546,373,008,036,156,872,723,
740,422,975,883,866,676,468,475,917,599,305,458,847,049,605,811,978,332,971,
500,330,600,041,039,077,426,347,368,996,419,943,333,228,531,450,050,213,556,
913,860,019,628,986,451,688,692,343,720,242,658,618,309,306,679,013,950,617,
454,202,758,084,411,671,944,792,091,166,698,989,054,373,435,466,639,494,087,
299,383,748,917,121,640,724,185,961,588,610,465,757,799,143,852,084,985,909,
687,504,712,064,744,085,898,981,726,866,870,744,134,595,249,295,917,388,100,
507,095,104,511,962,621,157,835,780,133,027,052,610,955,054,602,984,911,734,
276,702,136,898,560,679,305,664,086,042,173,584,983,550,948,024,269,042,559,
420,689,056,976,643,293,344,637,569,048,314,485,662,795,063,900,077,061,080,
932,628,895,871,250,317,373,809,059,469,423,144,215,147,101,995,906,284,259,
494,259,653,720,893,349,003,131,906,261,262,837,651,318,022,497,424,198,838,
928,051,260,047,414,435,732,037,975,524,632,162,786,066,978,673,648,068,020,
119,513,248,696,865,322,169,930,253,812,842,341,993,622,780,145,277,654,172,
983,245,972,328,590,481,136,201,176,463,839,890,482,502,871,210,529,969,599,
412,897,570,294,360,347,596,969,008,460,738,378,120,929,770,578,194,208,896,
026,265,313,087,470,359,496,220,208,102,622,852,648,988,918,615,657,529,557,
931,561,581,445,680,220,295,854,192,553,933,117,138,646,079,577,965,036,267,
026,360,445,979,580,725,002,359,698,016,398,578,885,176,632,680,452,151,808,
714,204,088,358,743,614,371,221,220,842,772,797,514,504,125,862,298,022,709,
802,290,742,444,711,059,341,433,016,993,607,287,584,493,688,434,788,154,747,
144,123,871,901,206,653,821,957,135,959,105,689,010,941,152,381,640,748,996,
977,513,492,117,430,477,437,383,046,108,235,731,506,189,099,629,605,690,321,
488,893,555,653,852,955,904,122,757,005,157,296,515,441,740,456,129,773,492,
997,246,016,275,420,264,205,674,901,526,739,037,699,915,097,591,452,413,864,
945,861,386,584,807,789,893,851,711,320,268,099,190,961,711,224,457,385,698,
506,059,250,633,967,579,792,664,859,049,574,185,819,501,460,121,629,914,940,
868,913,423,037,202,191,790,308,773,001,346,514,835,078,865,836,295,093,880,
401,991,735,870,158,786,297,568,787,832,019,305,892,768,874,420,017,071,140,
213,524,145,455,920,556,511,888,124,609,854,773,579,649,014,547,526,170,023,
986,294,537,716,164,652,366,834,339,623,060,859,181,550,698,937,857,596,439,
347,694,176,728,525,605,000,275,233,537,678,232,376,390,584,545,654,642,042,
700,516,577,038,098,999,594,014,572,452,484,917,304,433,239,338,236,036,226,
608,587,722,863,224,417,717,122,127,817,645,604,342,737,170,611,837,948,290,
286,717,028,680,560,362,287,401,266,035,507,188,928,358,265,425,079,262,188,
552,148,285,261,157,379,186,568,134,545,462,721,878,691,438,762,661,080,641,
507,580,918,553,355,149,570,376,589,271,033,112,857,991,569,432,830,668,862,
622,232,765,373,027,852,424,388,271,576,058,141,336,558,379,589,814,547,170,
625,026,231,170,113,933,331,963,621,917,094,055,986,462,101,093,268,482,325,
879,541,970,975,651,113,470,238,922,433,544,442,104,850,098,713,123,243,202,
349,771,394,089,318,633,748,363,804,500,445,413,546,860,308,886,271,842,413,
660,749,574,634,178,257,933,893,764,905,187,831,541,051,960,014,171,449,879,
165,849,393,659,901,861,739,731,171,688,842,344,160,070,111,836,956,506,277,
026,235,166,249,298,239,639,429,683,308,796,618,072,179,155,547,645,752,011,
255,102,085,572,228,587,522,489,281,100,331,925,741,291,836,791,717,133,040,
727,023,401,536,216,404,915,128,412,946,028,432,794,686,800,271,055,570,131,
814,686,694,254,934,782,059,673,379,134,277,247,102,054,275,738,766,598,978,
929,511,087,677,708,203,209,229,565,659,191,303,461,140,109,997,786,945,561,
505,782,521,884,352,424,703,162,659,187,779,177,950,967,065,223,099,417,165,
336,461,397,494,613,316,545,263,375,391,568,588,895,002,922,920,484,167,888,
560,752,789,525,571,240,229,844,320,597,069,511,057,665,275,800,618,079,348,
106,055,732,186,899,453,841,998,096,402,964,080,150,843,766,664,365,097,069,
301,044,738,664,626,091,973,846,192,629,579,906,034,597,263,408,442,202,611,
154,433,408,126,445,778,440,663,110,210,379,628,648,490,081,941,849,997,677,
898,160,307,777,312,539,270,678,470,207,104,190,956,840,026,236,251,842,294,
933,702,310,714,965,471,770,994,636,324,528,756,353,259,488,390,979,975,247,
268,909,381,452,176,827,261,577,963,846,757,209,899,829,904,344,186,009,658,
833,647,543,052,651,667,830,516,719,937,631,764,396,485,139,918,334,423,908,
145,044,508,317,681,356,609,599,701,389,407,456,924,439,065,985,222,077,475,
500,210,600,160,513,581,370,952,406,879,453,204,212,894,567,649,351,697,326,
844,705,666,759,399,910,425,456,472,358,375,971,517,454,764,111,110,117,523,
457,094,130,952,580,053,967,684,705,740,251,182,278,526,666,584,948,932,013,
191,095,202,013,257,284,028,719,141,464,164,431,611,889,525,856,032,460,489,
086,723,367,696,978,125,119,765,806,702,389,661,274,637,721,832,840,292,354,
058,466,922,839,822,182,309,221,920,270,744,855,109,090,511,979,407,824,490,
360,198,840,730,199,288,577,336,090,667,670,705,568,057,916,613,842,802,139,
329,129,428,560,191,583,329,258,008,652,445,598,936,176,069,365,419,398,313,
247,145,299,862,103,474,799,461,444,075,655,693,073,541,568,429,962,367,845,
317,957,763,257,339,965,805,029,599,993,710,656,298,569,425,124,675,671,106,
894,646,701,790,311,206,037,011,803,322,165,017,520,011,506,560,450,676,523,
750,227,929,099,311,427,848,770,318,549,756,851,489,247,378,159,762,644,005,
169,613,967,150,416,899,099,416,300,922,110,684,814,462,414,599,572,071,908,
774,618,856,657,979,061,439,661,746,938,850,320,360,365,649,646,314,389,169,
324,418,652,550,312,991,379,466,504,467,930,694,624,894,862,897,146,694,276,
002,720,575,555,142,532,350,624,677,424,125,257,692,299,196,029,991,324,823,
705,530,473,669,193,915,747,780,198,869,699,997,895,194,531,509,101,156,817,
017,943,484,751,114,039,871,078,174,108,563,476,362,550,418,647,016,312,605,
803,858,398,956,733,886,843,662,715,375,563,481,266,921,509,105,968,736,029,
936,276,469,701,733,185,040,182,408,552,027,053,817,106,873,659,948,948,605,
984,751,099,661,285,635,352,454,876,814,036,677,595,686,704,764,433,292,474,
290,162,729,681,769,487,837,604,572,685,174,886,136,481,021,029,832,707,775,
531,908,736,739,427,577,657,893,392,362,699,469,163,181,978,196,186,615,117,
815,308,118,709,971,032,846,382,766,039,662,542,222,043,195,617,142,621,003,
503,677,576,977,307,901,541,597,460,054,574,288,051,156,602,737,550,014,272,
805,315,116,112,497,231,470,823,368,249,064,531,273,802,488,239,621,431,538,
775,985,301,643,605,578,971,113,162,545,418,070,760,250,511,755,912,618,056,
697,347,644,879,361,364,287,726,918,003,042,923,333,788,709,145,656,403,690,
466,890,763,562,980,552,496,821,816,915,913,523,471,587,572,091,974,770,805,
021,639,899,919,119,233,219,321,554,818,431,033,870,032,311,184,616,524,930,
080,645,768,063,617,675,375,685,908,089,710,889,759,000,249,944,651,812,311,
849,411,995,042,977,007,998,021,344,614,878,545,972,414,633,395,598,762,329,
070,929,378,340,302,108,688,385,325,306,537,995,524,524,593,132,077,182,921,
478,457,943,966,869,093,755,119,699,013,253,615,635,613,646,474,699,264,989,
710,857,589,457,849,719,423,906,701,094,108,540,368,275,769,737,750,044,805,
428,787,787,195,316,002,791,178,339,814,959,417,771,323,848,798,830,847,676,
804,817,806,460,028,037,315,201,610,059,108,332,429,357,386,055,965,482,812,
448,391,585,162,618,821,985,181,407,018,337,156,553,465,548,271,211,058,222,
888,196,751,939,161,821,570,669,839,048,080,389,606,853,983,226,111,267,710,
870,098,762,351,500,675,517,149,772,065,865,452,194,616,892,518,802,927,892,
729,797,186,190,214,824,012,499,014,151,499,289,175,355,442,355,168,118,976,
275,521,472,146,827,314,561,779,357,369,619,751,930,532,718,703,695,553,607,
161,914,251,999,720,088,973,185,571,409,047,534,175,317,027,147,245,340,301,
803,451,822,160,040,899,870,794,398,915,585,799,578,209,445,325,414,813,837,
496,683,082,024,025,971,161,360,983,463,029,231,625,098,289,251,694,061,774,
264,714,419,991,196,478,277,791,134,624,819,781,274,551,550,054,077,543,099,
735,529,558,707,772,417,958,877,193,113,344,808,645,015,659,368,342,350,433,
522,726,565,998,970,322,633,051,518,148,511,091,242,432,354,077,533,582,112,
170,827,953,525,663,418,300,543,145,970,815,826,221,351,680,616,264,240,805,
403,725,144,941,078,765,025,712,211,490,999,618,752,932,607,797,471,921,706,
939,717,717,808,170,039,712,150,291,710,307,326,934,711,803,512,986,461,805,
436,221,515,132,141,103,863,856,397,340,599,409,364,472,020,017,071,270,373,
186,770,893,624,914,194,783,024,945,531,217,029,244,946,716,470,009,374,016,
306,873,725,225,525,137,043,753,384,757,216,572,019,986,831,735,033,351,666,
866,628,920,048,406,539,523,871,879,719,633,760,005,188,486,894,303,198,690,
976,463,371,007,662,601,876,884,965,439,434,733,538,177,866,086,282,879,094,
343,492,780,135,967,053,950,300,082,109,524,045,459,319,616,818,585,611,588,
917,259,595,755,237,792,889,539,419,547,353,673,003,014,077,454,369,551,057,
662,161,333,950,685,177,675,774,061,869,939,476,129,669,098,560,996,010,575,
552,561,121,080,885,594,572,869,824,196,022,566,415,934,096,172,995,448,725,
528,714,172,435,066,062,221,965,492,477,639,197,055,292,259,218,550,652,734,
783,388,541,278,171,479,529,666,525,144,838,065,587,607,194,952,069,567,794,
854,274,652,135,341,978,140,471,621,210,025,796,225,698,692,804,828,904,174,
979,389,198,635,686,966,381,941,026,069,266,788,783,389,003,124,720,295,528,
127,585,347,278,393,384,233,848,898,119,981,563,497,595,422,600,518,198,900,
160,471,226,706,330,775,591,480,897,716,887,699,361,096,601,567,160,814,402,
500,342,158,715,117,295,297,108,383,445,829,425,265,618,142,048,118,874,262,
877,588,487,116,354,302,460,260,944,045,533,029,818,389,728,684,470,248,331,
194,816,837,193,870,109,543,177,676,441,582,274,044,330,915,213,469,016,764,
958,887,736,069,323,491,344,137,810,385,549,716,779,077,050,290,673,645,032,
751,206,635,656,376,533,336,888,131,385,124,156,984,797,424,730,296,532,606,
471,474,640,071,087,401,176,732,332,127,215,401,614,088,704,655,572,302,922,
633,694,052,974,802,874,856,538,985,005,079,692,091,513,007,080,307,040,509,
766,822,846,190,733,984,928,137,013,442,557,328,926,574,968,509,700,641,982,
501,441,108,408,119,982,412,716,792,820,753,610,244,674,592,187,697,789,544,
173,945,029,494,980,768,698,998,583,331,514,910,158,139,789,372,088,172,525,
064,953,900,379,145,288,973,044,408,171,414,544,218,979,868,747,629,395,680,
557,336,007,942,095,877,231,847,011,129,589,607,537,754,228,143,069,997,996,
686,832,044,807,319,241,130,530,383,535,190,027,923,864,185,090,287,627,034,
017,007,424,312,523,852,227,605,855,582,550,492,342,655,862,401,304,004,887,
655,094,106,514,690,066,717,827,484,385,502,918,723,348,155,817,375,278,034,
727,910,099,944,705,596,018,975,220,319,870,688,269,712,918,349,370,303,377,
446,503,176,895,632,803,314,269,419,897,357,961,388,186,178,932,654,452,659,
452,719,005,815,557,507,931,988,540,403,128,229,017,889,692,993,384,295,577,
199,426,147,893,118,323,437,766,623,010,610,755,536,007,415,917,052,108,025,
179,713,385,125,660,880,992,411,065,128,445,649,043,305,295,519,242,878,134,
325,260,570,953,468,599,654,939,747,395,877,965,272,700,885,422,301,964,415,
008,606,663,893,270,352,129,094,634,522,968,216,679,004,510,462,414,844,451,
092,000,008,298,045,699,199,806,077,061,565,994,171,111,747,241,082,513,145,
685,984,189,592,861,794,579,031,697,416,306,929,444,968,171,547,568,232,018,
634,493,318,712,828,011,341,190,673,363,060,217,395,882,973,619,525,763,419,
933,473,465,614,358,172,509,993,536,207,220,004,057,941,014,111,081,606,392,
271,236,983,696,022,827,497,265,104,727,615,721,187,307,833,391,614,229,422,
026,947,637,383,926,809,387,242,845,700,084,511,419,691,753,549,344,396,140,
409,963,219,335,878,596,600,698,582,637,952,452,701,779,110,380,542,894,709,
778,747,330,754,499,048,991,962,176,288,153,708,578,072,575,190,362,453,470,
897,818,295,663,854,329,089,759,389,498,242,931,897,582,174,518,192,055,770,
433,665,288,152,927,220,584,492,263,862,520,428,748,937,443,716,696,995,696,
252,950,872,354,295,591,833,031,214,179,044,117,073,355,532,613,261,968,810,
641,650,721,770,068,318,089,233,956,709,359,902,527,300,903,876,685,229,256,
277,617,772,510,515,238,915,677,155,188,581,128,463,312,025,267,928,274,119,
817,311,170,843,617,557,505,752,403,906,579,468,375,462,433,706,058,895,868,
853,055,716,845,835,019,773,026,828,388,130,666,995,576,742,605,023,826,122,
418,963,128,863,107,128,973,393,438,989,481,543,864,198,068,885,906,996,675,
657,110,337,919,917,312,129,560,177,019,213,113,722,750,251,862,104,207,777,
977,256,643,401,414,017,042,780,510,005,608,093,009,821,343,944,517,379,183,
462,791,213,219,099,017,548,356,376,648,350,127,526,150,178,017,159,751,299,
294,696,599,660,141,284,775,068,999,952,013,356,973,395,135,316,899,286,148,
689,520,423,810,972,888,711,211,351,632,731,934,671,563,401,790,133,908,415,
372,466,551,135,833,240,616,898,355,988,487,132,647,196,412,473,216,142,415,
009,324,147,029,843,586,764,776,493,573,209,706,124,542,704,342,734,149,717,
887,496,329,820,736,558,408,200,063,161,432,840,269,914,658,491,382,146,019,
939,994,885,222,967,523,780,607,566,342,704,888,156,106,580,975,681,452,029,
614,089,269,628,653,896,827,205,484,796,740,643,714,804,303,260,858,363,837,
821,339,069,838,379,994,102,007,029,838,144,822,890,587,605,139,663,816,012,
323,368,744,634,224,414,719,349,655,993,145,213,818,195,876,339,271,409,869,
692,627,998,749,859,351,092,071,365,365,063,422,730,987,081,538,849,668,312,
331,972,362,930,060,226,629,676,253,944,713,353,366,148,056,291,916,497,496,
080,649,021,026,728,953,769,768,608,856,455,359,452,846,638,762,854,609,343,
456,639,273,759,115,841,658,491,095,894,205,663,865,923,006,909,121,332,381,
763,190,120,653,056,325,183,127,152,638,445,847,319,410,607,755,103,647,522,
200,871,265,783,702,833,266,128,565,375,780,672,330,921,834,283,329,775,151,
592,661,075,692,050,757,131,688,936,443,415,002,151,532,046,411,388,837,892,
479,344,091,369,519,401,061,579,897,445,788,013,722,407,252,205,330,365,615,
993,655,493,897,633,412,522,718,225,461,109,929,904,022,839,017,939,080,980,
426,668,357,548,632,696,235,621,037,689,036,369,942,861,097,108,813,179,016,
585,514,764,289,383,624,229,902,789,450,024,241,291,540,716,700,555,116,618,
994,135,172,900,368,289,055,913,292,626,243,420,662,316,791,991,508,822,917,
577,099,905,102,996,323,795,632,761,595,684,323,125,492,066,844,573,160,129,
692,396,793,977,076,035,558,273,460,656,673,113,384,403,033,008,682,234,000,
580,025,074,565,188,974,877,639,813,199,446,640,611,106,867,948,133,689,972,
747,383,165,891,404,997,740,961,367,640,225,212,500,119,338,009,368,013,592,
586,500,695,622,428,059,498,603,067,663,762,728,303,255,545,486,537,288,639,
497,503,671,496,636,307,564,381,542,338,808,418,616,840,965,159,698,550,535,
153,525,650,126,343,424,717,350,653,013,406,949,171,853,644,633,795,808,177,
309,351,673,634,100,095,323,185,607,431,803,912,405,664,341,545,344,952,669,
132,331,349,442,064,796,471,626,425,587,424,622,604,609,658,360,745,169,086,
079,213,373,914,207,000,037,101,195,413,808,787,181,142,197,519,879,485,819,
494,383,221,983,158,450,075,409,458,864,031,884,332,892,186,428,480,245,435,
038,860,578,101,899,387,907,194,154,300,374,842,197,037,171,468,487,741,551,
624,940,940,841,666,993,952,999,384,435,332,961,371,909,649,132,105,144,394,
060,968,444,419,704,197,071,992,266,299,869,471,310,846,569,855,753,953,656,
031,991,117,960,274,907,328,559,620,286,186,152,238,484,448,772,542,609,065,
818,742,400,664,235,137,782,807,959,479,670,626,887,423,118,591,345,859,697,
939,011,905,903,480,721,062,725,348,844,585,981,656,860,418,624,476,464,860,
925,519,208,054,412,004,319,953,764,159,826,323,041,788,439,940,437,204,391,
287,253,951,939,874,726,636,146,223,685,607,631,842,860,798,033,405,606,794,
677,454,694,665,046,628,829,613,785,979,408,424,733,968,776,647,056,533,087,
031,691,562,107,566,861,993,373,682,196,274,006,439,527,960,419,957,729,772,
790,152,838,605,392,270,518,952,677,088,844,924,227,079,838,879,489,312,622,
527,735,757,559,247,110,306,665,238,641,588,944,785,779,037,868,519,091,513,
269,704,462,171,159,403,323,971,575,847,209,379,520,663,034,385,153,202,710,
533,861,069,279,553,808,175,893,245,358,327,491,561,967,604,177,524,095,309,
706,369,399,214,966,796,756,262,493,515,697,194,021,838,828,803,524,777,728,
861,454,556,136,709,861,855,168,546,962,563,875,004,698,963,133,870,000,575,
257,459,767,405,075,779,969,976,073,040,288,322,472,124,945,090,036,251,319,
036,154,914,190,546,602,855,895,196,681,802,621,471,905,014,355,054,713,497,
994,014,880,162,071,041,445,543,168,658,234,643,733,508,711,582,856,238,934,
001,624,723,216,988,735,089,171,657,479,153,811,306,962,830,196,575,042,881,
221,944,111,564,420,636,365,423,304,571,781,352,851,680,951,633,673,367,610,
546,085,706,549,761,882,177,332,155,516,712,365,589,507,529,270,871,866,948,
191,863,121,465,591,952,200,470,479,049,417,622,296,795,997,373,363,843,363,
583,429,898,272,494,377,223,087,108,358,849,749,695,243,810,127,174,384,508,
508,603,914,623,170,215,944,678,590,235,881,044,022,167,670,890,797,022,464,
558,051,577,084,439,935,691,617,758,152,418,530,823,937,984,435,191,717,885,
903,163,023,627,243,317,568,274,587,876,311,659,725,776,861,632,410,659,828,
487,000,255,752,310,767,387,872,209,508,462,425,170,483,840,884,286,724,841,
892,268,396,239,768,048,313,021,474,333,047,103,269,884,842,298,041,685,646,
133,093,538,916,562,795,090,926,687,211,745,897,166,359,483,269,367,718,557,
110,290,968,821,431,177,871,471,506,684,992,393,104,351,971,387,235,981,968,
055,877,236,331,869,514,824,941,801,970,185,046,831,209,105,264,989,495,775,
632,810,478,454,337,974,883,133,799,990,307,248,615,825,854,704,592,426,752,
804,195,735,139,562,176,105,031,132,237,492,746,645,165,272,371,260,290,762,
358,136,551,211,664,030,966,725,144,775,640,597,690,168,128,835,930,991,535,
451,003,783,528,059,212,844,544,877,347,352,976,939,089,732,598,325,571,538,
035,542,070,730,551,123,388,001,998,880,065,305,383,981,015,795,587,993,723,
903,038,018,784,754,829,666,494,991,555,751,159,105,722,210,276,380,526,413,
119,980,375,848,665,981,163,804,367,503,787,321,336,691,981,800,686,404,319,
131,189,034,916,315,906,629,201,171,618,191,436,336,416,457,297,666,958,637,
826,217,887,438,787,043,833,390,286,716,545,549,544,976,193,504,612,526,117,
090,846,798,258,485,569,742,910,540,173,886,721,076,992,732,198,398,950,609,
323,939,229,589,879,611,030,085,312,904,806,526,899,016,787,921,397,466,373,
741,311,153,712,542,324,565,416,992,270,327,195,056,261,839,650,155,437,426,
083,687,654,164,927,901,275,984,383,486,272,571,367,886,865,595,649,346,789,
350,651,076,787,869,091,060,079,536,579,689,283,361,571,882,228,830,475,676,
245,779,231,760,078,163,784,845,856,338,442,480,971,479,911,841,475,959,511,
216,870,109,991,889,163,734,005,216,887,257,169,502,373,956,342,538,175,499,
918,169,267,842,698,821,413,362,570,554,716,784,861,016,638,656,461,333,674,
371,864,231,640,914,701,610,088,455,285,361,836,775,961,109,123,778,295,191,
753,419,794,147,775,241,713,388,145,307,992,340,938,335,209,428,115,017,207,
384,173,277,692,677,017,675,302,281,389,012,172,113,463,013,507,210,147,766,
803,512,785,975,078,944,147,890,691,981,457,190,721,430,834,515,732,149,262,
812,649,796,221,036,967,808,316,439,539,536,291,360,832,556,717,806,453,654,
219,355,026,121,640,984,326,861,894,791,297,654,433,810,654,798,157,756,984,
880,068,242,247,258,935,307,535,887,718,706,618,838,516,854,497,170,211,414,
889,413,925,885,449,558,230,257,434,408,352,504,257,233,788,815,374,401,212,
763,179,876,677,810,443,865,921,564,368,399,406,493,622,663,842,741,718,266,
892,257,608,160,519,857,030,691,606,238,810,534,193,087,538,701,443,493,063,
225,965,670,739,508,659,336,811,899,567,062,662,564,901,580,713,367,660,722,
005,557,917,063,496,500,117,893,852,370,798,024,356,479,334,455,444,969,420,
860,798,739,581,653,552,655,627,179,414,332,634,163,458,704,540,016,336,828,
612,358,555,829,278,363,927,711,973,124,256,471,893,541,560,784,948,105,842,
442,166,160,443,565,911,233,481,465,574,032,882,554,539,370,641,122,837,286,
988,886,928,822,938,364,964,153,660,144,446,554,921,713,567,112,996,354,893,
631,108,154,152,841,613,621,284,615,937,176,691,564,602,068,999,321,685,637,
613,143,702,312,893,180,597,337,797,334,244,520,594,912,341,676,916,547,932,
719,119,001,964,005,945,709,206,628,552,231,412,654,811,889,724,344,811,504,
313,213,328,025,634,415,164,626,648,527,509,133,759,228,056,183,433,727,808,
393,159,794,955,133,532,193,530,504,156,089,997,589,311,069,019,194,721,097,
429,491,834,568,065,608,715,782,392,341,822,101,532,889,136,691,489,900,089,
324,863,929,426,140,159,531,232,088,593,787,767,177,624,397,470,828,965,258,
901,582,464,754,705,246,869,178,506,517,112,644,617,568,012,268,935,768,429,
306,022,808,543,883,511,977,860,394,433,204,503,705,761,445,009,838,075,187,
346,949,506,376,896,936,118,844,024,877,594,550,315,340,901,112,877,487,794,
675,562,912,967,325,133,920,165,286,348,343,000,207,808,143,122,252,624,252,
467,696,535,489,432,909,618,825,106,801,739,079,565,257,979,098,799,509,159,
442,909,756,321,128,589,120,773,223,663,135,771,089,324,874,884,699,515,019,
744,990,228,943,831,453,799,163,826,955,084,319,902,183,946,690,961,617,267,
420,944,818,119,959,185,543,975,987,917,599,299,923,374,970,716,564,575,236,
539,148,442,713,418,636,863,666,674,918,555,154,170,695,020,805,173,311,219,
212,782,985,956,453,847,236,715,797,829,425,331,301,045,951,826,762,374,466,
653,157,424,162,567,623,884,851,276,709,792,520,268,130,119,660,506,245,367,
750,950,472,570,373,049,299,567,376,296,204,870,071,685,375,282,261,372,907,
241,042,019,412,503,222,952,425,001,710,038,555,375,619,955,731,911,737,681,
923,098,815,755,007,076,077,448,060,947,969,078,251,999,570,438,090,145,931,
921,452,817,215,681,892,123,865,845,297,066,092,621,160,130,159,288,141,362,
144,818,761,236,236,740,711,626,165,919,831,158,003,256,332,121,468,422,042,
961,358,461,083,650,892,520,487,121,273,536,458,521,809,307,018,335,764,148,
396,748,542,998,553,309,145,338,634,620,695,456,634,552,451,739,191,189,438,
420,938,043,166,026,331,873,579,966,932,363,908,276,397,331,307,980,449,958,
508,714,253,461,502,405,973,464,529,742,353,869,323,524,031,853,399,363,679,
293,749,088,719,623,340,937,798,017,067,289,350,344,570,486,668,177,578,597,
317,880,661,720,283,241,510,415,422,180,257,091,910,179,447,065,653,292,560,
144,474,546,158,790,925,664,599,478,473,799,882,432,340,630,754,576,207,813,
518,943,026,074,333,630,764,965,664,928,028,323,643,164,020,982,028,159,682,
752,777,329,820,139,413,431,110,336,387,382,547,470,917,394,383,437,836,126,
787,483,550,552,709,197,969,028,346,299,440,747,774,454,869,741,614,196,923,
816,252,895,134,229,646,764,342,182,155,219,378,334,990,338,134,340,710,823,
705,775,731,102,821,154,744,787,385,403,516,396,379,579,100,456,901,049,582,
558,033,680,353,928,726,354,085,835,345,100,913,114,078,946,381,821,948,766,
898,642,758,827,756,375,468,784,976,233,171,301,753,186,307,482,246,329,198,
876,275,637,856,970,706,024,946,244,266,472,976,240,037,016,352,122,606,659,
198,890,978,257,653,138,973,598,719,552,904,945,328,281,074,534,040,851,628,
304,848,676,191,903,650,949,987,114,482,913,661,509,950,412,837,173,598,919,
132,804,016,977,488,768,157,139,188,285,256,242,835,130,306,836,013,704,224,
102,117,916,599,421,974,335,914,402,858,671,467,026,430,933,894,171,209,990,
276,273,471,944,708,709,943,889,963,840,717,071,409,935,228,215,330,458,275,
026,315,429,203,677,178,424,511,167,673,333,201,673,041,632,963,519,011,867,
306,318,145,992,720,774,404,969,501,412,470,061,438,674,929,814,202,283,055,
780,621,751,502,703,019,214,838,826,791,642,986,753,147,569,972,971,543,904,
301,763,968,577,528,425,019,015,824,097,837,601,991,586,093,752,846,203,383,
700,563,505,912,710,864,740,181,962,187,934,698,187,760,763,100,877,843,354,
987,650,855,650,267,206,539,185,896,769,883,172,519,716,696,001,300,511,844,
113,645,975,086,854,516,889,588,839,945,249,112,559,916,058,588,438,165,537,
205,602,464,473,659,892,436,076,589,236,820,353,831,804,378,151,587,115,631,
854,832,132,868,140,871,084,190,007,968,885,072,765,733,228,547,882,207,743,
442,263,445,512,490,586,471,774,941,467,710,957,725,093,753,073,092,984,226,
283,875,234,356,844,170,002,993,001,077,187,849,276,768,018,553,134,694,272,
560,160,128,184,851,936,225,017,815,193,862,497,107,688,243,445,478,556,462,
471,755,856,254,917,153,562,837,391,524,045,027,947,882,372,423,266,770,889,
874,600,955,743,610,720,569,635,629,821,179,235,141,993,008,204,467,867,648,
651,716,080,743,230,826,500,587,978,487,115,323,861,915,939,424,015,428,648,
356,429,431,883,028,815,017,647,351,241,089,241,728,559,368,952,724,503,723,
544,480,165,001,332,299,390,279,430,595,872,994,751,514,327,189,817,039,334,
799,170,090,837,028,796,297,661,206,566,588,286,640,591,104,712,471,344,844,
589,725,957,326,105,055,800,451,169,988,068,464,041,580,244,539,659,839,548,
461,953,906,295,642,541,024,424,059,329,131,701,413,172,768,208,516,110,060,
530,993,733,951,386,219,661,070,503,922,396,351,606,027,365,312,806,955,574,
220,718,512,678,757,077,456,045,273,131,860,629,530,098,172,856,855,216,991,
094,020,940,334,304,229,278,236,224,191,746,230,687,237,765,821,053,572,594,
322,612,289,813,150,373,722,674,037,105,139,224,911,450,374,165,543,849,907,
416,615,622,217,693,507,224,899,518,071,956,687,805,956,659,558,563,073,628,
664,654,501,963,119,896,347,019,151,022,045,323,945,348,649,850,166,929,888,
009,250,734,893,237,132,516,497,833,585,461,758,445,489,713,401,979,811,433,
226,065,266,719,657,537,797,384,757,416,332,371,784,688,877,608,621,132,220,
231,245,080,965,840,537,088,517,339,625,718,309,446,252,550,072,513,106,505,
491,810,315,011,385,385,969,896,332,608,867,031,999,711,876,859,050,650,723,
611,417,667,817,685,089,114,285,050,249,395,064,177,783,809,316,941,612,588,
439,371,717,179,271,568,892,018,177,135,518,387,062,357,257,394,355,628,624,
953,681,563,243,947,458,794,210,253,171,647,103,751,736,519,071,336,322,523,
256,184,015,552,413,703,535,500,069,831,697,435,510,890,638,548,641,323,593,
362,861,680,711,026,730,985,223,904,779,923,464,833,374,307,631,856,377,855,
912,533,030,270,834,526,964,676,635,462,337,274,088,333,381,031,438,221,707,
308,255,680,101,415,853,678,609,350,604,777,598,063,391,136,032,006,397,301,
376,559,172,958,527,629,723,380,807,680,617,589,366,275,105,263,991,934,210,
630,542,447,351,385,119,053,252,110,339,414,109,804,142,679,567,858,671,138,
749,965,246,849,151,176,825,574,026,163,429,636,580,673,868,014,147,075,437,
962,221,870,455,370,428,759,315,656,104,033,073,314,789,269,022,464,513,124,
069,078,998,048,212,863,508,978,888,268,590,849,072,011,866,921,690,112,888,
771,016,512,067,919,539,766,413,144,731,781,924,054,495,453,916,422,824,453,
161,014,925,247,440,593,319,252,268,290,150,527,663,196,985,340,087,785,721,
043,180,073,210,543,122,209,718,932,620,594,817,090,229,616,933,198,693,244,
114,526,513,561,034,314,215,427,117,086,137,430,139,169,775,459,305,529,519,
505,158,422,830,696,745,565,302,817,887,645,540,555,783,203,784,726,630,672,
379,204,503,169,675,488,868,986,955,724,659,248,990,259,181,288,434,354,375,
044,769,519,468,082,400,954,775,436,393,019,850,630,135,531,051,546,744,369,
871,360,023,299,702,645,461,042,577,420,996,467,324,477,711,908,058,307,229,
683,595,490,133,703,300,618,243,342,452,577,985,282,842,490,811,815,443,635,
952,328,798,849,171,478,402,440,108,414,786,158,676,188,726,298,937,035,364,
601,041,593,906,221,591,360,026,542,440,806,569,172,915,825,836,892,914,351,
349,943,938,731,028,789,771,832,944,588,363,527,306,028,168,855,465,707,708,
233,036,932,784,896,739,875,137,481,374,860,065,300,704,494,510,862,664,424,
594,552,217,768,789,660,717,976,755,920,137,100,275,253,526,626,357,395,380,
683,085,331,810,624,429,169,012,421,159,636,344,297,400,710,881,934,779,291,
239,176,787,113,261,899,829,457,338,891,781,661,103,091,317,064,053,466,710,
894,880,964,315,997,703,238,045,631,903,298,681,638,664,796,334,245,275,402,
883,133,379,029,209,903,164,303,033,059,796,317,483,373,776,054,366,152,969,
961,551,913,958,632,659,166,845,513,275,489,477,555,003,104,095,381,842,183,
369,123,287,552,791,350,753,458,883,139,814,392,301,484,266,500,047,873,215,
486,145,987,179,289,410,838,876,416,339,611,231,788,543,855,706,441,631,743,
446,746,701,631,242,099,076,532,980,895,858,092,734,139,245,635,025,867,139,
358,074,389,237,559,876,046,390,812,844,135,542,260,756,122,540,242,727,706,
360,349,295,417,704,480,847,227,543,047,785,696,739,976,905,282,718,810,299,
584,763,339,363,663,210,819,474,447,292,313,192,265,280,128,166,918,527,742,
992,747,685,882,630,756,731,579,930,396,127,465,403,232,493,691,787,782,417,
899,754,347,331,455,600,555,129,947,220,977,252,184,876,452,096,006,184,296,
413,616,654,719,499,997,933,251,261,593,427,579,252,918,608,602,378,860,179,
496,141,667,839,039,524,958,649,878,103,699,533,140,357,696,340,947,734,251,
806,197,301,089,525,813,948,071,882,232,474,274,792,570,347,447,931,895,558,
265,364,228,835,746,448,067,150,776,774,042,086,044,937,558,607,380,634,566,
365,283,524,557,748,196,789,312,427,893,792,026,468,157,764,712,820,780,168,
817,625,927,957,034,538,673,043,609,619,178,330,476,068,999,967,109,760,938,
680,805,537,657,962,147,110,593,654,663,584,831,542,894,563,919,040,123,954,
259,702,157,929,853,250,644,048,607,708,364,386,282,844,728,889,415,035,352,
665,200,150,168,296,480,321,675,064,261,993,961,479,091,366,335,398,364,324,
876,466,953,869,662,212,335,728,009,750,888,214,292,216,084,296,508,246,176,
221,542,486,379,934,500,515,191,347,470,707,843,892,105,266,325,640,432,532,
500,432,225,690,365,848,666,148,180,453,282,511,351,757,185,424,390,222,300,
070,831,521,366,618,133,153,272,641,959,239,528,635,165,502,770,257,110,018,
547,468,107,444,651,548,738,335,302,873,633,209,456,443,907,239,108,349,170,
671,045,179,575,942,748,701,576,407,448,959,517,210,415,884,082,901,059,654,
552,003,711,300,059,081,896,934,174,263,893,755,306,031,040,223,352,679,523,
176,188,831,883,528,684,839,230,158,460,664,853,731,587,417,362,284,245,506,
350,154,135,422,194,087,217,271,191,982,740,920,264,605,628,568,037,524,173,
133,805,489,602,678,990,740,545,780,348,939,543,581,924,988,940,222,565,043,
863,246,439,743,285,555,558,177,874,970,980,524,082,508,294,279,909,352,827,
448,424,710,936,638,671,535,501,614,821,152,114,483,687,507,121,908,918,340,
935,946,518,826,564,918,252,823,967,305,954,280,082,489,343,815,375,169,969,
547,192,311,086,953,096,255,773,824,237,922,820,163,076,811,437,847,768,643,
881,032,009,344,095,827,937,735,613,646,033,712,210,978,640,663,938,400,955,
937,308,710,469,068,464,894,609,855,812,873,990,005,229,765,686,645,767,659,
593,716,057,693,411,950,255,447,138,472,892,642,243,229,386,052,949,361,820,
338,714,657,288,374,352,947,305,291,934,498,171,585,614,269,337,698,228,059,
858,710,819,125,880,628,409,024,798,433,552,454,413,887,739,259,650,321,356,
643,516,397,490,483,066,598,840,456,085,005,742,894,842,627,050,900,605,872,
644,317,566,000,902,096,681,990,500,700,055,317,971,257,982,587,634,083,375,
542,337,031,496,702,012,611,421,171,676,933,074,523,237,395,320,825,217,228,
086,249,403,606,624,222,151,751,288,622,344,588,194,671,612,402,492,180,440,
978,412,946,242,310,600,967,094,065,322,202,948,162,870,066,171,302,166,347,
935,037,687,486,651,998,688,745,078,719,429,777,736,256,465,171,452,426,081,
699,283,092,789,651,587,833,784,034,427,859,938,530,820,985,228,795,886,642,
486,297,158,532,086,699,753,568,800,615,948,458,563,419,497,046,324,513,587,
943,901,819,674,619,936,996,248,087,556,734,362,514,064,969,623,089,252,037,
796,298,808,299,432,902,604,735,270,898,554,588,596,214,492,908,878,621,016,
157,126,723,268,052,058,158,195,919,920,746,240,643,164,943,830,986,245,059,
565,072,698,691,895,306,470,499,201,376,018,267,352,183,885,276,376,606,291,
764,138,043,248,314,956,516,873,301,292,366,596,044,148,225,816,103,919,923,
000,827,230,532,027,127,421,017,559,351,836,959,876,479,448,778,413,229,225,
919,891,414,315,324,850,350,393,946,112,315,979,632,197,611,548,250,081,916,
235,636,102,951,475,009,971,010,934,544,456,684,003,797,173,021,576,266,687,
530,097,756,486,417,012,448,464,582,750,582,394,349,187,040,918,763,029,653,
342,166,721,098,894,507,702,707,839,290,208,718,393,192,930,686,207,028,239,
686,214,247,564,564,459,216,476,731,678,191,329,068,115,664,474,337,232,663,
234,460,928,739,671,168,721,268,448,754,975,154,087,336,962,219,084,247,599,
033,593,725,995,091,615,191,216,627,014,819,966,837,272,941,562,338,572,356,
642,614,860,902,019,098,861,610,387,260,217,871,444,879,923,384,575,439,443,
681,037,473,679,741,659,610,004,923,698,828,596,161,442,771,760,454,749,686,
434,190,144,932,294,603,275,178,294,405,097,814,282,663,137,951,624,917,212,
621,877,722,552,841,116,589,208,984,452,318,546,387,696,739,048,275,763,411,
529,634,684,998,289,823,667,997,488,729,964,814,793,502,664,718,466,476,689,
255,055,379,397,275,352,609,360,705,834,780,256,622,784,039,206,095,574,589,
382,876,197,617,173,753,726,547,273,225,279,238,538,428,747,839,635,784,438,
762,613,179,066,907,487,703,740,680,131,063,545,975,174,357,583,606,589,776,
796,593,607,555,398,444,043,393,424,630,012,676,989,212,104,482,040,225,848,
574,782,825,884,195,700,795,137,276,952,463,027,635,828,068,880,384,672,857,
799,655,875,731,068,462,015,775,113,514,841,005,710,423,765,056,289,318,618,
976,063,880,097,883,318,315,019,028,312,424,922,494,525,645,156,071,490,817,
184,885,317,580,559,551,234,796,371,497,870,636,912,346,206,143,629,216,211,
545,686,800,614,219,172,633,293,974,789,276,299,334,754,305,954,529,291,509,
682,091,363,249,270,519,533,013,565,259,653,325,322,722,433,608,675,372,896,
358,554,438,349,601,782,183,410,012,250,248,781,497,345,248,316,679,747,203,
023,019,050,368,255,863,590,871,582,614,690,546,030,931,533,623,307,903,469,
745,947,750,049,121,861,998,534,772,160,676,183,064,461,023,435,333,948,114,
661,094,900,353,142,594,026,448,979,150,384,257,368,609,922,372,159,395,551,
181,135,807,921,434,046,473,421,853,807,821,910,744,516,529,921,702,920,048,
134,559,071,230,829,521,094,721,748,211,717,191,423,241,577,696,424,866,998,
112,577,946,178,533,296,142,133,960,734,843,858,537,074,503,807,224,596,714,
708,003,922,077,466,642,315,991,411,796,873,867,930,105,200,238,871,090,798,
099,853,003,224,895,421,284,189,523,696,500,954,883,675,154,392,375,861,468,
499,683,749,029,108,187,539,746,151,523,860,265,056,338,065,895,986,559,602,
915,270,746,658,739,579,222,015,287,695,739,371,186,026,017,551,047,166,632,
873,794,857,156,834,535,095,440,177,787,414,281,382,950,217,842,767,067,896,
608,614,882,283,926,599,939,614,966,000,541,735,986,095,257,418,219,124,540,
389,748,235,612,004,592,420,567,623,348,079,269,473,075,595,757,935,278,847,
141,652,685,878,222,952,370,311,842,735,429,511,068,822,741,538,457,417,617,
572,798,799,596,905,692,942,498,901,664,566,448,948,996,521,560,914,952,052,
914,966,945,882,877,662,808,990,907,916,385,569,702,561,379,861,203,970,534,
122,995,673,457,327,927,320,421,938,353,953,300,596,999,716,134,571,655,303,
983,132,586,145,855,409,537,695,816,596,967,405,695,506,377,520,682,722,758,
597,904,068,199,365,884,707,854,079,749,107,029,897,513,882,543,134,034,884,
851,219,601,403,939,719,196,965,562,368,401,419,299,034,039,196,528,802,559,
587,182,071,606,991,605,952,609,339,539,355,115,447,545,439,273,126,557,534,
264,926,888,053,658,972,455,728,226,803,037,260,417,598,551,744,745,710,864,
452,504,595,754,704,146,858,212,718,985,433,976,299,656,242,547,108,135,279,
546,791,241,619,953,438,966,036,575,724,185,195,508,972,168,378,519,989,605,
914,907,160,760,203,522,754,726,985,431,679,004,150,248,059,304,189,044,256,
111,098,817,582,017,298,491,869,820,433,441,829,457,419,174,854,489,299,575,
411,321,204,836,126,739,500,657,114,521,228,957,400,859,305,068,877,497,193,
382,745,731,759,106,016,357,715,398,710,254,524,080,127,008,446,078,582,890,
719,751,358,936,261,456,856,205,626,212,978,050,167,647,375,975,710,103,487,
543,841,245,377,768,764,657,497,968,379,901,223,760,852,433,314,296,371,331,
104,525,233,533,861,605,520,933,148,448,875,329,743,977,074,426,279,151,198,
867,988,149,867,059,301,147,092,821,185,134,182,514,517,941,086,260,371,486,
796,639,756,005,938,104,678,870,964,429,287,937,763,294,472,507,267,384,884,
864,549,841,906,896,308,901,347,670,648,019,548,165,793,620,832,232,716,682,
076,504,854,237,805,260,351,624,180,324,294,950,356,613,701,050,856,131,023,
519,392,248,813,039,195,397,268,131,160,331,523,050,191,957,090,963,486,747,
515,794,512,552,611,902,491,735,474,298,021,514,158,919,300,864,230,794,567,
307,081,002,119,678,415,984,337,877,501,930,578,937,412,753,000,947,768,019,
812,705,731,445,677,623,847,426,516,055,123,571,933,241,297,002,454,454,528,
865,447,420,704,606,262,815,359,697,338,163,120,057,078,190,717,374,223,788,
902,949,420,511,411,507,851,437,097,061,236,419,709,905,851,009,864,913,767,
449,235,623,388,022,254,339,496,991,063,558,247,522,508,403,524,641,882,054,
955,127,728,358,692,690,591,979,798,247,568,153,664,581,825,224,433,331,637,
848,311,091,950,139,930,901,249,226,821,616,238,345,802,014,171,639,566,825,
390,459,305,216,172,186,265,302,684,434,456,473,900,279,140,461,176,346,261,
735,804,711,186,857,683,757,537,684,299,297,933,339,900,127,671,792,306,886,
306,790,197,152,288,088,823,257,377,346,352,985,055,484,411,446,782,843,620,
779,887,010,489,754,735,414,118,939,836,694,588,824,169,641,830,964,086,273,
009,353,066,004,094,436,040,860,049,116,037,124,338,742,590,875,360,258,218,
036,718,866,775,166,705,986,142,325,955,704,659,854,698,475,080,048,659,104,
602,262,260,317,807,396,446,456,759,924,231,874,317,326,202,692,797,210,287,
376,729,595,680,009,969,051,914,657,814,596,784,829,391,885,208,311,900,899,
015,777,010,745,483,662,150,552,657,925,181,332,481,392,027,639,527,768,655,
657,906,153,400,999,960,934,659,676,039,319,549,032,717,520,742,367,018,061,
727,977,809,004,487,969,629,467,597,638,567,509,954,961,489,259,881,794,261,
582,632,205,493,987,198,233,555,883,559,436,074,381,048,119,622,182,579,328,
316,147,064,383,657,210,877,211,278,469,516,871,344,678,823,262,185,399,679,
716,544,568,811,423,913,262,372,100,966,244,418,516,101,993,346,534,854,412,
506,941,165,044,445,576,460,232,681,034,633,925,409,790,209,825,512,306,904,
350,827,916,254,088,096,440,383,269,759,450,925,706,915,554,090,301,483,864,
538,423,450,666,617,010,181,882,231,961,442,625,910,321,974,751,233,268,472,
328,847,154,754,167,356,501,695,237,847,728,807,439,639,614,966,453,200,615,
767,819,969,140,947,104,191,528,814,274,195,653,001,124,515,876,661,550,209,
887,028,114,176,721,410,789,117,815,687,918,223,902,149,774,211,950,368,838,
039,692,359,011,607,825,903,194,022,387,018,117,367,375,293,655,120,852,559,
138,526,115,876,491,404,373,672,525,692,807,371,719,368,551,677,232,877,107,
465,394,979,009,522,604,935,337,983,215,438,818,537,856,045,325,476,735,478,
384,270,916,433,727,416,930,459,296,798,299,876,197,123,039,596,697,800,537,
405,455,448,543,417,937,509,685,625,218,288,284,859,688,618,597,038,062,670,
403,411,060,356,692,314,814,532,337,438,641,666,714,646,844,232,550,221,836,
472,476,500,900,963,019,386,492,816,085,422,418,747,568,141,451,108,542,354,
771,331,593,207,358,124,815,818,764,059,307,570,329,079,922,030,277,517,279,
166,681,352,901,000,085,285,818,010,238,068,201,418,561,452,954,132,592,623,
580,587,707,538,924,755,142,511,779,703,219,505,979,408,257,903,423,376,583,
851,057,381,853,472,540,648,360,904,326,843,215,908,544,720,717,633,747,528,
129,239,542,340,403,145,936,457,082,510,066,304,081,737,991,387,961,137,329,
915,293,548,919,174,158,405,144,790,556,889,496,716,723,210,025,463,568,457,
314,356,237,061,055,765,404,771,050,347,551,054,544,843,706,517,695,545,418,
256,097,559,214,859,820,868,864,383,421,984,580,615,951,342,664,361,756,200,
858,081,416,761,599,398,568,638,039,963,227,738,283,619,895,559,145,463,321,
490,935,168,282,216,514,694,129,406,604,281,107,334,939,178,090,792,852,059,
542,772,871,868,455,389,982,404,532,572,882,986,250,890,930,311,206,441,416,
256,480,279,883,442,654,942,230,493,136,824,073,715,668,280,304,508,352,063,
561,566,810,683,563,695,027,112,055,459,184,836,233,127,192,303,538,681,470,
859,955,903,768,017,469,105,422,551,502,803,916,362,095,556,805,972,481,677,
758,690,449,875,790,036,133,831,442,981,600,990,009,017,425,636,843,192,056,
369,719,432,790,048,384,028,535,318,085,824,339,070,770,967,527,887,341,104,
306,959,696,735,889,339,811,740,150,848,822,585,962,605,984,407,245,319,411,
458,546,964,219,696,072,563,858,726,844,283,128,330,883,602,819,184,987,512,
882,473,655,302,942,211,118,526,060,176,215,350,723,116,841,614,560,945,972,
745,263,304,021,221,506,991,418,886,741,573,515,655,560,000,941,029,681,872,
614,477,662,034,624,345,971,901,510,018,388,356,446,130,256,735,582,382,265,
001,007,799,269,983,181,515,384,194,089,987,541,252,764,316,442,396,445,131,
100,705,384,238,616,497,047,139,916,107,682,029,281,007,032,400,907,492,782,
964,735,464,786,268,411,958,681,972,714,425,760,505,603,659,642,968,289,889,
706,356,542,434,679,165,699,993,180,971,896,467,779,453,823,914,608,888,969,
307,934,453,932,663,769,483,122,847,201,353,113,593,973,825,082,915,427,877,
720,501,745,528,448,376,101,385,361,823,728,350,511,929,595,695,302,662,548,
912,145,209,038,012,675,678,035,228,063,382,458,385,028,253,294,366,562,775,
105,685,187,740,070,758,014,311,817,828,759,255,200,541,077,852,594,359,036,
711,617,067,104,933,545,378,264,344,554,535,160,748,022,000,782,767,732,757,
530,036,717,612,607,165,136,006,192,453,983,657,167,384,744,658,239,096,811,
120,460,777,186,454,044,726,038,040,282,733,064,666,214,348,700,074,783,870,
034,598,060,959,535,796,846,605,156,220,917,204,040,721,364,317,321,115,471,
248,160,394,494,196,926,173,277,383,713,864,210,952,751,651,253,493,318,233,
076,472,872,007,259,563,744,560,440,020,747,691,180,674,516,202,483,248,701,
724,223,195,632,089,047,721,373,749,767,915,340,777,429,894,898,814,000,723,
797,386,134,215,826,820,786,278,538,034,384,173,656,959,551,142,300,758,386,
469,303,549,567,112,454,088,217,654,526,215,966,874,155,731,026,934,352,778,
826,913,355,118,124,072,070,555,915,500,165,704,943,647,883,789,271,011,677,
592,277,167,554,322,396,402,656,081,130,434,115,130,297,461,829,695,540,282,
406,355,454,586,849,763,085,431,680,014,273,283,290,212,137,969,848,743,832,
697,357,162,416,434,806,524,770,360,245,868,526,616,194,898,562,321,715,194,
312,915,457,162,525,572,012,641,291,685,544,029,497,178,690,630,574,291,245,
749,292,225,269,203,665,994,464,716,907,996,149,536,960,058,682,349,917,810,
241,137,232,882,379,526,375,612,977,273,020,988,606,848,707,673,169,281,167,
558,147,343,166,886,232,838,392,384,128,142,379,297,508,041,259,544,708,414,
302,434,254,303,014,972,774,090,923,186,747,871,800,112,744,965,679,921,493,
224,707,864,800,460,665,155,100,704,227,606,520,266,154,877,136,435,681,433,
182,166,372,439,414,118,987,186,490,609,467,356,547,187,208,928,773,973,006,
559,053,788,149,217,387,708,993,140,009,626,496,546,633,926,213,402,580,820,
759,482,402,883,706,979,625,449,994,505,209,209,752,308,288,848,994,469,284,
878,316,327,138,325,777,870,402,858,974,940,808,048,832,459,347,335,525,290,
531,705,211,035,080,638,716,894,718,641,461,684,849,796,577,007,936,772,308,
000,445,034,227,834,052,677,993,573,577,527,982,462,983,248,571,638,671,048,
542,776,045,908,057,702,444,606,718,532,550,042,513,233,216,346,966,460,785,
492,873,256,723,978,140,547,737,910,158,627,244,985,484,838,133,346,098,351,
501,521,973,204,388,045,983,503,958,113,810,336,840,474,554,065,313,943,526,
557,526,445,475,594,068,239,476,464,539,296,021,495,339,281,538,147,417,072,
455,704,219,899,227,693,760,386,839,749,915,095,015,060,444,392,638,070,308,
280,317,145,325,444,545,661,936,827,644,934,606,694,394,528,068,606,047,233,
950,889,824,298,624,348,673,427,262,609,689,785,105,317,757,186,641,901,535,
702,726,096,147,412,213,849,895,403,157,738,789,405,343,166,102,858,900,611,
915,373,585,356,744,670,969,393,193,482,550,691,703,388,854,399,841,281,210,
870,561,837,949,956,095,668,617,095,183,381,887,781,508,292,996,551,026,141,
502,406,632,647,077,387,521,865,680,280,919,415,922,490,105,040,333,682,870,
107,890,194,567,258,489,219,109,815,271,695,662,626,744,649,692,133,655,390,
078,914,512,070,346,344,295,997,096,083,705,941,596,787,704,842,290,942,806,
542,964,611,400,117,981,659,152,285,239,749,946,657,434,512,714,113,130,473,
438,282,379,810,808,207,498,339,192,738,712,535,819,197,359,588,370,695,550,
893,860,810,162,029,113,723,666,114,741,636,222,710,219,133,987,278,533,416,
597,155,250,892,859,780,278,893,582,816,070,717,919,864,278,130,862,410,449,
060,936,852,708,546,891,954,834,611,751,483,142,129,136,665,711,999,799,663,
159,017,506,598,602,174,196,204,882,148,473,513,302,995,160,822,552,162,349,
497,953,903,714,299,424,435,354,871,659,214,976,306,078,766,963,704,931,325,
476,281,957,060,752,105,299,964,829,897,814,462,552,351,228,992,124,363,665,
071,171,380,453,749,046,300,026,329,149,031,896,692,522,045,182,780,154,960,
884,227,957,211,973,601,854,386,724,439,362,330,099,460,556,885,659,513,847,
340,670,322,141,131,823,977,730,779,955,928,055,047,014,319,472,179,220,224,
888,690,324,582,126,455,416,336,021,817,414,325,735,905,606,173,441,504,979,
843,366,890,303,767,749,230,601,334,461,772,096,732,269,843,436,152,516,277,
660,109,002,448,433,369,475,517,765,091,168,135,459,602,595,425,191,476,397,
792,107,714,143,579,542,094,482,459,039,692,877,385,192,187,895,320,638,084,
191,300,114,100,124,913,880,380,142,657,728,314,216,351,208,218,919,823,282,
015,445,077,450,263,308,268,710,450,714,661,105,136,418,759,252,436,563,652,
224,054,096,945,741,652,301,640,377,926,421,969,770,326,005,947,420,913,879,
737,249,200,629,587,600,361,784,198,080,158,329,572,450,647,193,706,520,244,
285,044,632,808,250,891,941,167,920,699,353,349,104,870,350,349,923,757,301,
886,699,402,365,924,871,071,902,642,360,440,369,475,846,201,770,147,923,959,
185,961,314,385,744,082,337,135,348,896,960,033,779,594,343,889,574,800,735,
172,948,526,483,298,682,344,090,062,365,688,225,190,765,410,577,237,948,206,
663,455,688,652,994,139,639,173,294,494,776,089,251,567,069,038,746,928,611,
018,007,503,444,370,096,825,840,165,091,005,115,605,666,334,485,216,407,437,
994,743,263,933,826,537,753,014,934,258,031,055,605,495,701,484,118,356,234,
108,313,162,059,974,372,094,090,815,186,151,664,971,734,631,643,356,302,038,
264,931,774,237,308,736,530,227,311,622,272,296,539,094,961,512,912,443,132,
338,298,320,717,473,505,037,011,017,933,351,966,932,712,512,022,599,104,074,
062,624,983,764,560,053,265,555,069,663,911,350,809,644,711,832,718,659,588,
138,338,496,924,262,785,624,599,786,182,238,451,380,107,267,552,780,241,260,
940,128,234,126,694,504,857,369,978,196,546,799,959,254,863,695,517,359,275,
185,876,243,952,318,688,848,475,626,292,585,030,649,768,614,276,108,684,448,
094,028,026,775,332,834,230,429,607,673,210,832,352,038,998,871,923,238,461,
362,862,884,174,997,970,439,780,757,370,510,773,624,895,457,142,466,231,856,
380,167,242,539,843,022,956,240,363,871,092,549,455,901,357,082,102,094,911,
544,600,227,716,443,639,015,414,597,272,383,975,328,619,027,889,968,153,615,
871,128,658,163,254,378,400,230,010,115,124,093,280,129,429,469,871,663,691,
553,165,928,278,042,194,731,277,575,874,531,889,474,579,703,810,147,345,722,
537,973,004,955,719,698,837,738,357,637,855,852,095,518,566,455,214,675,734,
707,390,471,211,793,301,140,198,584,729,810,484,634,801,627,677,108,414,963,
675,227,326,064,809,112,091,211,504,561,781,183,277,528,123,882,867,357,436,
659,190,587,029,040,079,810,876,136,056,682,412,885,190,628,811,266,930,834,
243,104,035,462,366,743,135,183,163,993,909,281,493,358,223,144,725,370,205,
888,638,191,801,898,610,787,215,761,554,679,953,945,918,150,955,351,317,721,
788,022,730,892,318,584,981,310,146,195,982,229,419,194,494,253,711,399,114,
942,587,760,613,960,615,467,342,857,891,149,420,649,602,264,485,269,138,670,
372,703,859,618,448,699,185,621,323,150,775,175,345,305,604,902,663,959,438,
748,104,733,743,803,028,764,805,365,903,958,552,942,770,468,633,445,829,986,
334,472,024,545,749,249,912,675,194,328,757,063,528,610,269,233,826,366,073,
800,111,549,284,772,972,961,884,931,924,824,059,611,728,599,047,969,867,547,
563,426,882,952,423,584,604,110,899,814,690,970,588,143,720,084,131,181,569,
571,030,290,105,748,554,272,966,908,516,254,229,344,096,305,585,003,827,752,
867,803,248,353,241,670,748,361,317,327,673,567,204,920,541,834,430,872,550,
823,119,318,968,379,198,582,209,779,643,047,053,197,242,735,318,426,266,519,
141,806,566,893,880,264,809,964,200,043,771,058,962,799,889,651,184,040,827,
887,560,446,986,584,514,497,173,734,491,214,424,350,870,232,995,818,014,417,
187,154,184,057,689,137,030,020,572,111,777,114,873,269,079,835,855,750,197,
857,035,461,193,832,702,681,372,390,796,851,906,805,540,262,400,849,893,407,
741,529,337,838,474,424,996,313,875,450,914,749,966,904,441,731,203,705,874,
892,851,385,615,502,087,384,392,678,871,152,292,710,514,071,421,466,275,020,
529,597,764,240,671,618,485,642,245,984,253,368,920,458,657,106,200,093,602,
319,833,225,779,905,841,790,806,518,458,418,169,187,652,630,990,479,235,653,
653,704,531,205,259,933,721,390,669,358,544,677,522,316,497,481,855,325,455,
544,417,428,279,031,356,842,111,043,654,538,788,378,674,777,550,898,010,672,
946,350,248,756,606,780,020,742,831,994,539,544,410,862,811,509,710,163,402,
848,438,326,792,180,324,533,564,822,835,554,875,398,276,183,714,182,982,277,
518,357,695,468,134,697,697,029,740,381,985,734,021,774,848,219,346,503,269,
454,276,017,539,864,864,377,207,356,506,124,521,715,764,424,699,809,978,888,
800,730,183,637,642,806,983,727,746,258,713,720,246,105,889,362,715,508,158,
242,791,220,994,146,214,382,540,368,664,941,237,253,233,093,394,454,431,624,
062,357,906,164,189,930,047,958,005,560,457,064,251,007,867,974,051,653,017,
927,382,409,526,083,936,753,602,504,934,247,370,561,613,174,046,989,851,423,
202,082,533,243,154,152,273,080,032,383,064,107,120,485,230,616,078,657,980,
303,011,527,243,148,041,630,825,498,609,127,185,578,702,714,036,097,944,574,
227,039,091,725,507,859,040,514,621,801,862,723,039,637,634,790,138,343,356,
158,483,494,147,603,102,230,494,878,931,762,230,192,329,699,576,161,421,952,
650,450,727,699,461,878,195,018,140,531,941,793,069,056,185,298,717,771,464,
339,289,498,461,267,294,279,336,566,499,937,924,181,357,650,873,047,911,000,
103,825,130,218,520,277,063,989,180,690,157,389,268,645,884,784,458,975,847,
355,027,168,320,158,174,374,798,140,052,017,936,396,984,645,787,004,193,121,
257,328,478,107,357,308,952,675,380,125,137,355,959,933,191,740,695,442,020,
232,100,341,923,087,025,518,437,565,532,786,927,265,692,812,332,382,551,549,
265,462,887,107,255,959,609,546,066,343,893,175,756,683,872,552,830,384,164,
152,254,430,586,367,232,644,702,344,528,689,065,269,129,851,592,893,971,383,
670,107,583,571,494,683,875,258,185,896,608,070,930,372,629,587,051,518,065,
286,973,085,255,651,696,065,178,048,085,123,958,809,679,136,230,388,059,223,
318,361,761,663,691,234,477,687,059,510,918,465,752,985,599,834,121,574,939,
873,955,141,874,448,349,753,028,570,982,472,786,528,822,989,666,780,655,409,
727,324,194,960,368,812,022,570,851,554,490,249,293,364,152,124,135,558,963,
243,236,453,070,612,742,298,506,667,101,926,403,504,118,388,724,741,852,614,
871,656,207,837,772,723,080,586,764,701,425,892,403,331,538,163,551,998,516,
419,175,374,515,476,185,443,471,349,111,788,151,539,908,647,633,953,431,579,
998,789,936,563,087,803,910,853,414,483,720,532,927,525,368,239,653,419,628,
627,613,725,200,766,011,986,020,040,774,638,945,747,124,929,289,850,576,383,
085,836,498,897,743,104,209,791,115,223,556,351,744,356,376,028,528,549,079,
071,378,617,055,401,208,451,479,717,574,871,417,399,697,414,148,157,737,369,
190,822,038,535,825,687,928,216,516,598,822,773,993,783,798,586,280,816,365,
097,497,605,732,254,498,808,555,288,659,713,746,020,324,509,858,636,915,487,
330,654,329,522,673,587,711,177,651,052,457,950,646,852,217,039,707,184,454,
128,111,836,864,298,538,201,743,407,001,340,592,967,553,401,723,204,991,342,
139,114,941,106,999,012,785,689,110,887,088,754,748,597,997,470,746,337,789,
529,841,101,874,960,481,489,528,783,425,494,376,687,676,762,387,620,090,749,
923,814,187,530,953,569,318,172,496,742,076,011,431,307,867,198,703,454,140,
289,047,463,337,404,057,068,054,247,084,874,404,964,267,258,413,395,520,573,
377,288,313,774,874,736,324,679,097,480,178,636,863,135,305,188,696,238,315,
286,226,908,673,496,684,909,369,115,038,357,338,235,874,609,686,422,537,840,
757,331,411,625,059,423,037,971,124,085,320,712,700,089,121,546,768,878,660,
155,824,911,675,103,057,082,508,743,196,240,046,171,830,876,373,104,888,764,
026,206,380,016,608,222,991,764,398,387,320,189,943,294,946,117,970,538,299,
463,582,278,765,577,147,399,612,153,988,684,145,582,341,327,085,812,840,772,
927,106,918,378,814,684,406,089,626,769,622,550,707,514,585,219,785,053,157,
214,109,946,094,981,115,195,275,926,016,429,612,088,660,618,920,741,586,357,
022,007,188,818,243,999,774,343,132,387,568,981,563,589,511,600,385,538,835,
599,327,492,145,632,970,034,703,556,162,585,127,627,003,549,892,990,990,710,
040,387,326,760,457,792,765,208,758,490,275,907,004,700,078,831,864,342,373,
954,569,457,264,488,785,017,305,609,142,924,962,084,983,450,343,626,039,052,
461,320,074,488,940,142,336,402,111,374,035,822,360,434,546,313,954,269,142,
130,490,457,661,453,845,876,909,602,646,232,018,966,264,172,695,101,443,738,
164,302,117,542,193,087,720,878,755,747,462,043,364,449,451,802,698,783,031,
002,354,165,938,400,218,449,752,632,228,530,284,154,345,729,636,005,056,709,
465,829,551,022,465,021,389,299,233,064,160,903,833,592,207,002,409,895,470,
713,264,891,034,218,443,476,120,370,363,514,283,843,171,199,290,013,516,445,
382,454,932,523,915,138,402,990,817,842,516,074,795,705,518,791,665,336,029,
664,551,192,441,576,298,564,597,260,545,105,679,440,141,707,095,497,173,102,
487,841,089,943,111,897,081,228,772,315,771,361,392,630,724,623,160,420,641,
214,885,315,481,074,079,344,220,309,716,900,311,868,764,708,168,910,027,530,
899,132,621,700,327,964,939,716,651,690,975,887,843,005,497,604,640,171,945,
638,302,669,962,705,967,919,348,518,900,786,792,509,590,183,117,895,468,046,
196,770,547,972,860,583,870,387,620,611,892,569,054,413,574,954,460,454,648,
381,403,822,028,052,007,329,892,779,281,444,147,080,350,114,709,084,703,684,
999,765,877,402,683,840,689,036,125,743,448,445,285,368,661,615,718,299,955,
163,491,432,994,001,427,028,233,095,820,398,736,938,018,952,803,423,198,054,
436,843,775,636,238,342,861,879,124,860,451,180,058,122,344,936,101,546,284,
052,374,624,768,686,711,552,931,005,593,135,641,745,105,891,449,637,723,186,
132,881,265,414,206,324,996,487,391,775,164,002,052,971,561,990,255,932,039,
909,221,841,037,328,008,652,473,155,831,983,586,949,580,805,524,119,463,639,
065,992,957,805,210,815,747,664,128,195,119,769,954,950,720,845,463,746,457,
966,132,293,851,100,312,977,863,096,430,280,365,041,069,599,192,942,785,948,
720,838,896,982,738,597,786,069,596,898,123,775,660,975,693,271,944,278,016,
290,371,996,226,607,701,429,539,349,979,301,724,719,518,542,399,160,785,493,
677,534,606,756,816,456,239,360,664,907,392,761,347,469,187,381,078,090,768,
889,220,967,576,984,855,067,990,984,366,308,244,665,018,130,327,308,879,936,
156,894,308,275,728,276,652,935,832,705,391,603,788,329,312,837,135,586,767,
331,274,990,235,387,198,110,536,295,221,213,281,935,092,736,121,739,519,537,
424,186,980,565,657,142,984,579,289,767,806,325,739,914,741,923,470,632,207,
827,271,319,055,446,026,928,540,114,678,908,159,138,661,081,246,249,910,326,
383,655,821,311,402,984,602,639,375,191,639,076,089,769,573,691,293,528,663,
436,624,584,391,038,453,772,660,742,113,608,363,527,545,871,553,324,142,338,
600,841,061,238,385,560,885,839,206,678,474,895,492,572,766,653,476,225,394,
037,668,448,999,451,803,107,006,006,642,435,150,093,614,179,159,175,367,850,
138,130,151,375,591,519,393,763,778,476,118,753,041,070,861,444,193,708,134,
772,416,636,322,719,202,829,979,436,707,244,186,586,686,720,103,291,586,702,
128,993,416,457,217,307,389,263,240,562,131,595,222,942,777,245,527,067,657,
939,216,530,612,852,536,115,978,737,677,565,202,941,829,969,466,130,608,312,
658,541,390,016,049,183,012,311,305,801,229,026,239,910,415,031,648,564,312,
383,431,314,852,586,435,314,306,164,511,086,625,255,910,630,741,379,479,855,
148,864,105,265,889,070,600,506,276,787,592,399,659,896,187,584,203,380,364,
370,545,716,014,514,859,051,929,895,167,017,134,582,405,863,423,115,294,476,
187,339,684,283,974,901,959,022,910,430,380,624,390,884,261,025,411,000,985,
072,092,791,975,089,799,238,860,261,169,788,366,683,708,944,333,846,056,190,
120,866,648,530,314,026,610,813,666,844,202,001,382,904,915,240,518,452,856,
841,171,635,779,730,607,292,400,090,987,973,151,018,729,576,435,693,586,377,
600,957,739,335,105,239,129,482,856,207,690,171,134,788,440,927,640,710,978,
846,251,067,879,750,851,378,403,336,419,527,142,694,226,255,092,253,102,799,
963,702,936,167,024,710,240,150,767,286,482,684,155,228,025,336,901,687,735,
464,164,410,618,252,270,999,434,008,766,515,371,685,841,306,998,589,413,253,
878,635,365,068,342,486,649,139,657,746,645,587,498,470,956,185,917,029,537,
670,831,157,198,038,039,174,814,825,173,983,435,141,490,740,662,242,231,405,
344,184,621,311,584,367,368,927,499,722,041,460,777,755,995,029,284,431,708,
925,163,020,767,778,488,193,818,650,606,609,149,872,421,894,018,174,660,615,
585,225,531,201,623,991,935,375,262,166,314,047,087,325,706,018,173,130,051,
077,322,773,156,877,240,487,248,675,967,347,552,677,822,529,008,915,694,204,
669,162,965,935,651,319,876,067,046,563,171,473,709,931,703,710,045,131,024,
734,183,362,898,266,940,265,978,772,518,353,601,005,707,681,699,215,680,261,
532,577,161,779,180,770,693,120,911,004,163,611,728,930,916,527,759,187,127,
800,874,948,839,408,419,338,344,565,421,033,357,612,698,429,782,372,744,834,
309,234,358,671,647,820,759,003,567,758,056,235,619,412,278,331,712,986,712,
241,869,700,251,133,999,133,212,990,658,807,962,974,198,730,803,705,349,168,
199,762,447,799,222,122,073,597,577,749,068,539,360,285,786,220,176,530,989,
766,249,448,068,044,796,620,364,953,453,024,391,675,955,695,585,708,407,488,
725,110,309,575,174,615,791,165,180,990,701,519,948,140,137,796,954,811,949,
898,513,264,380,631,681,702,349,125,745,243,676,225,713,755,005,236,116,349,
052,578,389,904,493,210,211,523,243,298,540,592,285,419,060,799,703,071,031,
232,073,394,084,577,583,300,514,219,877,131,329,193,001,070,732,633,490,138,
747,342,636,646,766,815,492,175,089,884,589,868,068,517,887,675,227,146,428,
138,986,704,142,008,572,987,531,662,835,982,769,951,424,169,986,242,891,288,
625,121,315,995,255,361,712,981,821,415,457,229,320,668,807,873,612,707,205,
632,551,437,867,123,404,546,212,948,626,133,771,383,949,199,448,243,339,165,
698,278,001,344,528,929,612,254,603,357,925,443,483,148,986,364,989,585,920,
860,780,392,688,088,945,849,365,488,087,420,200,164,194,066,928,444,853,605,
327,634,709,199,111,228,276,953,287,493,005,020,775,838,780,567,322,257,612,
196,824,070,554,118,660,186,946,067,003,697,616,959,730,104,351,634,490,641,
080,948,507,406,226,905,472,401,715,862,010,072,701,469,732,733,040,701,996,
569,888,645,684,523,023,757,788,503,455,281,818,162,080,735,010,167,841,698,
766,679,813,021,210,098,818,872,554,687,364,806,601,052,665,617,239,005,008,
801,565,143,659,671,316,753,130,569,205,171,015,404,143,667,001,785,878,482,
884,301,740,571,238,552,501,377,507,363,487,270,397,421,704,264,675,896,352,
917,510,035,345,142,193,910,673,963,447,532,270,933,232,235,520,221,759,722,
696,917,696,537,298,565,421,081,599,739,040,833,902,167,945,955,796,465,237,
898,062,413,309,116,110,720,635,273,205,079,880,858,997,757,352,628,427,812,
116,268,751,601,101,397,376,113,115,956,253,698,786,567,133,370,097,116,976,
010,785,185,213,198,968,076,956,067,155,238,028,618,246,370,827,148,252,635,
299,742,468,039,921,671,112,381,534,704,832,597,439,360,706,041,735,657,781,
587,945,134,603,373,195,594,752,263,189,936,969,021,206,162,501,839,354,814,
560,590,347,255,788,263,543,296,046,600,555,490,469,480,071,078,669,808,610,
635,057,853,096,938,864,056,483,474,871,389,833,779,632,433,437,726,361,929,
769,431,950,251,648,870,532,819,709,715,004,198,880,244,357,592,016,378,695,
239,605,325,247,827,718,062,944,728,242,007,490,035,685,639,047,334,061,225,
210,705,040,960,390,641,320,795,546,109,663,276,754,908,600,018,835,036,733,
211,640,458,293,377,680,815,522,181,666,885,121,707,429,271,168,913,724,303,
296,535,831,842,939,165,159,720,829,313,687,124,519,879,237,006,254,190,586,
856,515,022,821,339,378,095,318,885,312,325,480,230,011,588,587,278,952,285,
853,083,775,035,509,973,348,629,591,010,729,978,208,269,922,501,205,072,697,
747,159,643,448,317,938,966,412,510,325,023,050,826,966,887,530,255,182,225,
907,411,118,211,218,461,659,844,852,646,881,134,813,536,440,930,484,191,890,
211,309,966,820,520,203,887,967,476,885,080,969,052,900,198,383,699,174,972,
357,852,726,356,450,270,399,022,209,886,951,378,244,727,096,924,786,459,909,
646,035,129,794,131,431,203,712,438,424,777,612,609,172,579,931,135,382,650,
531,290,186,554,987,639,137,043,935,312,273,594,267,157,969,041,793,114,431,
240,590,087,278,099,063,558,336,943,401,296,518,582,708,916,936,656,656,463,
577,004,410,727,065,712,575,114,662,179,848,183,833,084,544,468,103,224,658,
855,972,257,450,041,343,860,745,390,399,309,155,300,008,100,844,177,740,386,
391,789,956,007,095,257,348,242,523,602,426,891,792,719,273,028,809,646,684,
484,411,578,708,267,102,563,638,395,740,356,098,757,282,482,854,424,586,028,
629,119,145,835,963,572,536,259,750,398,293,604,294,693,967,165,375,738,464,
706,692,654,558,874,487,788,494,287,097,676,430,046,004,557,890,924,282,476,
001,015,490,651,085,972,655,815,058,865,861,209,093,112,517,259,594,802,891,
220,397,021,424,086,857,472,787,461,986,833,216,201,090,800,466,838,550,636,
995,343,629,027,833,959,997,460,297,369,962,310,510,771,927,402,403,714,644,
254,422,182,869,251,620,840,377,786,331,371,293,992,614,489,452,150,220,782,
558,334,544,898,261,311,102,129,422,999,292,819,798,368,374,030,166,730,387,
940,647,393,872,078,634,531,509,558,002,846,094,191,273,876,586,270,978,388,
860,788,078,747,554,049,168,559,799,714,644,768,690,108,679,037,309,703,250,
322,621,888,528,644,434,700,520,094,286,929,149,691,805,669,728,187,074,348,
986,046,151,055,426,251,382,519,433,495,354,643,649,011,408,640,896,073,747,
616,666,625,133,836,915,334,763,070,877,214,749,249,634,365,889,072,291,559,
371,719,912,416,049,689,826,413,473,578,958,066,080,509,827,843,175,856,301,
187,604,889,886,837,924,610,261,196,608,978,551,852,722,857,722,685,987,820,
042,685,669,203,244,971,374,798,654,517,161,472,552,722,473,873,487,383,659,
801,788,148,229,307,436,674,080,346,097,062,746,439,157,235,953,276,881,702,
364,871,241,985,162,766,101,629,815,915,622,117,447,929,107,303,504,157,361,
194,412,161,865,223,229,808,694,006,681,192,200,955,964,936,661,070,680,831,
879,345,035,204,386,113,467,821,416,533,892,434,088,334,965,279,797,218,928,
023,661,830,535,491,177,575,731,710,184,160,938,051,736,100,320,031,364,757,
194,366,772,463,503,256,822,858,356,984,016,104,070,432,528,416,049,194,349,
174,430,327,266,925,726,274,550,890,833,179,023,206,359,080,232,543,425,035,
965,935,428,402,974,272,879,740,519,234,985,981,930,644,893,042,204,356,119,
143,208,776,703,791,656,384,590,338,727,277,729,047,326,222,597,371,928,501,
966,417,787,628,008,426,458,326,122,278,692,280,632,015,524,217,355,975,264,
104,453,644,712,127,119,768,778,329,770,746,453,600,223,427,770,622,093,906,
214,290,924,264,505,043,947,054,426,984,497,408,660,927,808,483,845,240,552,
807,830,280,315,779,952,257,262,324,784,679,132,759,967,083,210,896,147,463,
707,867,487,668,583,347,883,978,118,106,081,442,923,163,121,424,411,905,096,
547,395,933,051,980,167,623,245,369,284,152,450,137,540,906,038,467,833,817,
135,281,594,102,070,461,604,678,384,601,734,358,733,399,577,793,958,557,924,
074,960,926,911,252,935,193,973,778,060,889,924,125,370,066,446,643,268,622,
300,760,473,139,289,778,855,987,710,384,869,085,349,104,973,123,195,455,448,
157,172,727,207,770,897,398,939,460,409,388,557,102,502,847,196,621,392,576,
070,658,601,492,231,258,051,163,276,464,728,328,542,480,783,358,520,647,660,
157,119,112,692,862,668,703,489,063,825,423,187,159,845,088,130,825,073,190,
188,526,665,564,035,707,973,182,947,190,314,511,717,582,889,926,111,002,999,
182,471,075,127,412,511,716,609,793,208,398,582,513,446,142,656,687,755,742,
661,482,434,170,976,839,324,409,647,640,061,709,315,124,792,333,453,583,798,
074,909,500,632,106,246,758,792,288,393,265,326,003,135,605,898,658,722,864,
445,605,230,136,148,967,001,678,961,567,119,456,766,866,823,232,635,842,916,
690,556,053,839,558,793,229,839,108,306,894,896,810,318,790,152,987,407,355,
571,066,581,757,714,918,950,066,072,921,057,708,837,965,511,414,429,871,800,
609,899,441,658,233,889,303,195,006,449,495,439,658,846,992,555,587,080,729,
403,499,098,134,653,967,964,441,874,305,436,564,611,610,993,178,466,440,724,
408,384,431,667,819,804,739,455,633,745,556,903,468,762,671,777,393,208,608,
100,654,695,919,534,806,039,405,232,461,151,114,472,126,436,951,069,157,956,
587,065,463,315,602,436,724,968,108,546,058,865,917,719,229,248,207,887,037,
752,922,588,715,860,409,097,024,641,637,063,057,379,181,528,606,022,845,258,
083,685,038,412,609,295,435,815,673,838,191,936,969,976,722,715,540,180,047,
156,843,568,754,438,450,274,463,544,830,691,323,309,738,530,502,079,237,717,
208,977,620,300,822,559,077,134,753,530,757,087,915,830,932,423,086,902,300,
675,283,863,620,393,473,772,049,850,935,637,548,430,472,241,663,126,482,201,
759,406,746,873,393,755,420,341,968,702,233,249,872,246,986,465,478,860,799,
185,314,823,210,854,685,247,818,117,552,727,585,508,227,288,936,871,507,382,
575,288,691,064,283,020,995,073,822,357,582,810,133,762,933,785,016,455,055,
792,368,726,692,862,019,946,130,531,400,951,028,315,337,493,003,771,136,963,
498,369,930,117,011,897,531,832,743,328,818,597,080,298,367,544,574,426,120,
380,781,340,547,197,651,239,026,723,326,469,283,765,461,362,052,374,482,072,
810,083,446,131,336,318,789,012,455,069,366,363,701,515,512,962,716,266,356,
410,652,787,198,409,377,307,997,827,653,751,865,765,640,604,200,211,395,747,
775,711,756,799,199,973,841,859,451,792,258,047,712,067,888,237,289,265,344,
665,314,261,905,440,430,354,660,445,710,812,251,000,949,234,934,644,158,029,
086,784,192,221,377,094,045,118,973,954,545,378,997,026,836,055,540,369,778,
027,930,828,197,257,118,156,683,631,721,192,322,170,874,913,625,938,242,257,
397,821,907,365,179,536,613,292,517,852,631,055,319,325,052,456,657,582,136,
664,439,623,150,990,037,866,699,425,293,861,430,832,871,073,567,105,464,719,
125,002,707,833,657,859,208,992,984,557,421,950,591,856,531,915,352,009,669,
706,805,382,944,934,652,716,089,337,262,746,277,322,741,256,904,252,604,452,
761,792,319,717,786,410,618,846,406,777,012,683,290,897,219,993,994,826,376,
822,342,947,699,972,939,090,433,103,570,119,878,511,298,818,064,458,564,509,
834,086,059,296,036,809,696,478,171,489,975,855,897,871,596,781,423,004,625,
025,901,020,079,671,591,754,655,107,198,683,966,344,847,183,121,208,147,849,
871,748,602,661,955,490,302,736,250,747,710,648,248,064,836,023,005,191,420,
256,452,104,547,506,497,815,197,939,121,413,202,281,584,189,156,025,152,398,
097,156,568,518,473,743,053,797,047,887,956,625,204,792,291,129,785,439,170,
404,982,681,971,611,165,800,598,064,274,650,426,029,086,973,524,936,293,698,
837,991,991,280,908,519,369,894,643,004,621,566,631,459,958,538,244,007,560,
170,033,997,843,511,699,825,541,551,434,977,684,537,733,411,655,660,158,243,
193,831,477,691,095,647,193,858,400,361,543,042,781,229,129,023,443,554,079,
821,217,092,413,532,265,733,983,648,683,489,713,072,477,669,206,354,324,997,
139,469,554,208,370,133,177,034,430,066,758,645,153,175,455,042,835,972,283,
395,390,648,027,145,751,570,943,551,295,088,742,846,273,409,057,915,487,147,
277,943,852,477,158,931,775,244,021,379,351,395,405,618,626,549,764,536,284,
738,473,258,550,441,809,635,600,165,666,661,819,217,963,639,925,672,469,230,
954,758,244,187,203,139,364,470,120,044,399,508,946,972,369,482,320,743,106,
150,398,540,312,594,834,248,185,214,417,326,424,175,210,902,685,434,566,966,
513,632,423,609,937,974,851,034,720,152,123,248,696,565,373,302,941,326,847,
165,637,234,155,525,880,651,016,791,375,666,466,935,475,757,835,733,741,998,
996,827,648,449,461,697,610,982,324,519,135,268,466,469,031,227,635,597,130,
103,905,863,708,445,932,735,605,111,893,462,905,086,327,365,265,790,800,110,
515,612,048,040,907,040,996,267,979,651,922,452,023,948,435,954,905,675,051,
629,494,413,222,746,164,547,241,742,525,135,811,912,416,904,956,559,493,517,
454,601,399,458,252,919,287,695,300,048,553,803,798,075,627,981,244,929,199,
523,099,315,850,735,512,789,815,238,935,755,123,130,640,474,672,380,281,668,
924,846,678,694,972,377,856,740,891,606,251,472,518,401,537,131,789,614,794,
957,508,244,498,558,216,688,590,831,470,796,673,358,826,396,314,062,089,764,
670,795,345,537,655,749,747,656,751,396,131,423,741,946,661,277,745,651,423,
251,299,389,312,938,397,670,404,276,212,319,178,060,162,915,458,557,777,559,
176,693,894,016,899,600,691,778,792,439,210,884,230,561,979,850,281,737,201,
279,944,750,522,852,921,770,007,308,739,283,529,232,171,719,622,160,446,755,
616,240,412,107,602,760,602,932,152,942,121,936,740,885,649,607,386,764,070,
532,192,919,936,366,582,239,480,173,304,985,659,592,087,191,033,860,843,778,
226,485,556,596,416,370,643,943,097,266,171,209,705,930,048,820,413,972,216,
928,028,169,767,660,466,631,581,599,619,385,473,285,777,860,239,763,760,915,
523,271,050,946,445,976,502,083,984,668,020,979,077,276,988,055,209,045,989,
208,734,413,455,823,988,525,724,791,409,772,441,594,227,306,827,995,892,074,
476,231,250,719,649,986,801,826,669,669,483,080,415,722,762,873,070,831,075,
234,867,603,561,195,315,628,285,768,899,199,688,495,942,750,265,317,310,951,
429,521,824,047,652,711,388,029,428,630,374,698,577,837,793,036,327,106,028,
103,353,038,428,376,224,402,984,824,133,257,238,193,226,255,257,388,201,462,
199,239,542,410,538,248,029,068,234,545,267,062,136,247,156,177,319,557,506,
780,049,641,434,720,904,883,657,942,841,195,714,339,450,348,164,847,131,912,
553,051,966,189,977,214,268,485,907,069,669,586,720,842,507,425,748,503,459,
947,306,210,567,317,196,131,453,588,869,505,657,424,935,142,268,734,860,981,
104,109,736,798,728,779,902,045,168,355,317,170,430,232,024,581,743,210,864,
250,246,815,058,771,008,665,569,524,421,563,444,347,487,449,889,155,104,880,
059,740,253,981,891,299,533,120,831,905,691,947,574,382,586,375,854,492,086,
288,205,602,942,199,228,158,357,003,611,782,261,396,825,122,924,617,051,510,
901,116,856,364,036,541,002,545,470,199,843,376,346,955,723,082,163,722,543,
904,867,865,950,154,122,010,646,282,383,647,122,172,169,422,200,153,456,450,
540,723,089,463,204,446,404,906,167,067,396,371,836,526,231,419,975,914,273,
719,186,293,610,514,086,942,867,764,766,446,377,584,566,753,353,291,238,626,
893,064,684,721,644,339,176,721,643,060,593,362,055,887,953,923,914,611,654,
068,348,609,352,774,589,387,858,179,862,964,006,130,740,669,315,541,172,327,
221,292,052,998,539,550,157,846,328,411,569,739,556,537,256,054,795,608,537,
923,955,593,427,787,654,829,615,578,625,682,757,669,379,993,055,946,320,461,
997,405,682,311,781,135,196,128,122,456,447,802,038,189,178,532,346,697,651,
056,292,229,711,179,784,347,848,655,924,892,315,311,357,007,020,508,312,484,
397,169,264,202,342,304,880,022,857,152,731,367,656,704,858,018,079,752,437,
694,557,093,232,531,249,923,595,593,219,210,524,283,071,192,068,104,243,453,
645,797,973,631,519,368,588,143,786,538,239,686,907,310,505,385,541,647,388,
006,442,155,126,570,568,697,630,237,030,594,570,348,946,081,600,325,961,575,
943,044,717,438,365,709,312,378,878,038,301,838,911,709,347,796,984,587,389,
129,643,817,704,924,162,904,977,480,365,445,533,866,925,971,881,981,283,316,
663,943,440,210,069,624,259,156,385,493,491,743,582,639,686,096,811,790,941,
231,771,598,580,789,638,042,618,465,512,960,457,490,634,821,526,981,538,990,
593,408,187,726,112,725,950,715,909,664,899,155,368,395,159,742,580,893,551,
105,576,918,564,579,587,742,628,401,868,924,916,099,078,664,659,448,945,220,
686,723,875,450,922,318,138,592,908,455,446,824,016,175,828,724,272,410,487,
622,369,525,691,255,792,077,562,685,824,312,758,586,219,935,970,819,689,591,
491,139,101,374,792,740,175,399,411,632,832,480,449,648,441,387,432,430,506,
907,881,554,901,391,968,716,586,313,165,739,010,480,547,561,460,984,801,583,
318,731,385,594,062,286,665,211,955,913,051,931,496,507,447,374,847,071,394,
212,109,696,368,277,235,856,727,863,387,978,699,295,556,292,027,908,293,091,
662,553,772,071,172,902,183,240,423,961,158,321,376,161,752,497,685,640,421,
692,097,702,968,237,354,272,201,839,081,931,556,774,700,449,360,097,161,343,
666,732,213,892,781,863,774,886,714,740,589,597,839,129,368,679,856,577,589,
791,315,502,175,302,982,170,315,548,909,232,026,335,881,220,095,222,749,371,
817,354,347,865,317,680,279,440,655,379,322,084,339,769,006,671,456,149,196,
916,209,473,817,829,163,172,234,101,987,649,117,923,717,641,970,656,498,511,
464,984,827,852,368,843,521,015,418,237,472,829,012,569,505,943,561,632,843,
267,788,987,649,371,291,352,572,551,976,895,366,081,951,479,564,855,557,230,
527,394,167,702,274,811,450,243,993,206,009,677,626,092,540,945,157,337,425,
816,793,708,225,853,432,447,894,418,364,688,896,996,553,375,735,558,905,183,
803,644,883,535,500,764,026,393,713,603,792,124,021,566,850,590,813,956,169,
348,628,410,273,791,120,758,632,292,253,226,028,686,007,720,915,124,455,486,
101,122,190,426,061,563,839,916,661,880,644,907,492,908,258,912,447,190,397,
575,473,238,252,785,394,996,247,084,921,049,906,825,948,799,080,238,916,042,
244,264,572,379,004,952,882,195,455,206,199,005,601,896,511,050,982,770,395,
951,097,966,586,383,145,565,023,079,372,371,598,518,268,020,120,269,334,000,
976,218,150,495,678,931,106,488,477,619,670,283,869,322,606,758,622,594,760,
502,402,483,306,690,853,633,897,278,829,246,278,454,675,858,287,310,826,037,
364,025,477,282,272,577,050,852,145,904,725,423,010,704,513,859,015,819,807,
792,331,784,645,921,213,562,707,896,019,415,420,533,040,859,996,112,070,434,
327,616,820,347,482,651,279,515,557,159,591,782,812,779,851,237,077,599,591,
687,716,997,427,868,017,473,664,093,712,147,484,446,384,411,537,212,176,906,
760,166,565,265,179,109,623,090,681,676,235,363,038,192,082,834,233,830,849,
261,183,028,272,350,013,926,674,411,414,482,577,542,489,910,073,705,079,581,
215,829,886,113,040,158,889,114,518,179,928,688,261,393,387,246,919,992,041,
894,736,929,578,380,270,957,930,859,548,134,186,802,183,340,091,019,376,756,
961,781,308,017,395,209,970,694,415,245,073,991,832,148,645,414,609,629,552,
689,665,193,483,492,408,168,994,049,816,515,595,299,102,266,848,872,845,951,
188,760,377,182,488,264,592,028,503,536,358,059,666,878,756,836,431,100,831,
275,664,743,258,710,728,682,686,459,502,675,415,442,187,757,603,520,007,311,
445,546,997,584,763,827,120,318,067,268,113,226,954,888,947,876,934,903,733,
551,700,419,868,643,600,678,324,964,735,994,239,578,685,349,088,479,070,472,
770,237,223,869,979,042,000,837,925,537,229,387,792,985,119,186,189,850,538,
566,641,908,765,643,193,594,034,419,881,192,879,322,423,959,368,373,067,455,
436,381,897,171,634,511,161,598,244,423,457,415,643,548,336,293,832,184,109,
137,255,760,487,707,470,212,371,449,880,029,992,573,776,738,970,454,099,637,
376,429,588,679,524,730,244,116,733,718,887,849,293,190,782,531,846,020,210,
458,144,390,604,529,812,559,566,299,944,983,078,290,285,635,115,104,468,482,
887,032,752,089,863,670,337,907,735,646,982,469,787,424,956,019,196,029,766,
110,443,160,331,831,849,537,186,044,973,756,167,089,986,365,114,846,921,810,
224,350,467,245,910,908,264,373,897,859,681,476,749,506,535,744,181,898,504,
903,422,443,744,604,948,263,663,198,746,442,336,322,022,103,527,184,942,836,
285,066,926,366,820,992,815,195,259,220,296,661,898,374,158,872,348,737,758,
516,244,757,604,186,049,371,575,937,848,250,081,885,004,577,359,490,039,076,
046,331,524,754,569,050,383,290,592,166,628,225,029,142,333,279,918,775,636,
350,584,837,201,336,394,215,783,740,473,307,407,608,813,621,102,123,653,446,
497,007,118,378,281,394,793,744,961,522,571,534,723,630,000,986,268,525,089,
584,248,648,250,912,137,122,118,220,961,352,457,214,142,209,772,108,186,335,
571,591,304,810,573,947,678,508,670,922,960,050,905,371,252,505,533,935,822,
743,372,756,686,421,617,604,402,000,727,983,559,853,483,720,228,456,881,254,
168,094,304,762,934,292,685,577,627,811,905,426,990,526,331,167,105,601,698,
196,923,666,337,321,103,954,907,129,990,017,810,831,784,838,032,077,540,249,
716,933,020,029,625,583,448,749,735,012,575,884,994,470,140,208,263,092,623,
301,664,444,326,362,789,108,892,615,856,333,714,554,927,066,613,568,567,507,
221,323,514,993,201,783,440,359,905,685,458,090,563,133,165,525,845,477,344,
201,450,929,577,146,335,409,903,598,389,457,918,152,406,213,518,995,361,426,
233,828,740,711,600,259,424,151,767,637,014,304,148,491,763,120,075,272,966,
177,625,718,542,809,031,042,314,509,199,696,104,097,962,212,110,739,501,942,
874,779,696,988,254,508,218,208,434,416,059,304,426,919,816,571,635,249,284,
980,296,399,248,095,986,990,153,967,152,076,544,882,092,807,309,872,349,574,
301,741,506,250,544,799,551,450,962,234,118,454,064,496,963,710,132,147,037,
528,747,262,726,660,304,705,823,074,120,139,581,010,799,229,455,473,315,897,
653,977,985,111,092,849,350,856,482,153,705,419,807,828,348,214,071,419,061,
188,088,698,384,609,863,684,395,246,988,604,216,058,261,916,512,920,972,223,
852,519,938,857,540,519,139,536,834,568,914,214,406,522,919,523,174,403,916,
251,255,946,659,068,831,929,001,930,500,438,575,578,695,487,319,191,750,921,
115,309,384,323,062,509,861,145,246,004,597,248,937,511,840,851,665,875,372,
524,838,159,295,537,611,775,150,894,525,301,980,728,815,174,580,099,240,984,
290,792,072,021,043,246,047,176,566,015,686,990,040,919,568,225,782,318,975,
282,366,339,529,328,430,939,892,182,294,464,281,673,420,566,469,045,104,133,
821,664,448,280,201,852,425,239,273,512,836,334,019,795,020,020,060,973,384,
713,322,978,085,545,291,520,040,166,044,719,025,918,937,599,994,680,411,973,
652,678,576,452,436,727,764,886,236,916,554,749,708,514,217,477,294,277,730,
969,221,386,942,157,212,126,609,685,922,585,576,984,455,964,798,687,767,083,
956,971,708,322,829,968,134,626,174,054,393,062,141,181,948,426,201,305,052,
488,519,486,288,843,044,107,491,347,348,094,630,695,854,467,065,694,160,690,
737,861,149,682,305,823,182,062,820,719,311,056,518,820,252,770,045,536,430,
501,285,668,950,413,250,822,599,097,186,232,536,800,705,558,451,667,436,344,
051,702,762,752,611,954,657,173,985,523,497,867,764,994,449,086,005,446,309,
130,332,202,187,564,032,903,583,491,029,049,593,364,563,411,115,879,142,454,
912,949,382,680,935,552,176,289,685,101,350,907,286,842,672,950,054,783,107,
003,414,058,501,641,197,603,482,657,159,375,150,447,224,349,555,787,737,298,
941,949,305,622,522,238,460,812,669,365,720,950,198,762,177,368,780,778,407,
411,045,299,341,404,644,114,766,812,660,248,879,005,850,391,917,002,966,179,
894,710,041,543,364,641,883,008,791,126,055,647,868,658,496,025,444,773,678,
872,879,996,103,344,179,212,088,646,168,072,276,663,328,659,914,716,893,644,
791,531,249,157,949,133,515,273,029,234,340,524,131,700,634,601,233,823,815,
252,373,513,239,294,737,418,610,468,616,825,717,953,543,865,173,829,242,952,
506,759,830,316,169,564,489,806,479,086,859,930,604,310,994,124,234,426,515,
328,627,016,823,972,510,285,791,502,944,716,396,108,491,408,227,402,765,709,
023,415,815,862,381,412,539,260,919,780,625,004,508,260,203,110,181,805,850,
016,836,754,177,315,067,193,190,581,422,372,036,422,627,996,079,064,035,984,
103,155,824,602,146,330,525,318,094,935,379,764,758,773,131,716,475,190,544,
912,940,054,017,339,492,035,193,729,407,782,585,854,144,473,390,040,741,132,
480,812,133,054,436,037,776,058,779,548,707,743,102,355,880,137,956,093,959,
260,112,183,529,325,574,099,305,187,707,040,527,113,495,972,001,622,547,072,
049,090,053,647,993,953,151,718,349,922,187,726,564,160,768,748,232,151,839,
935,194,889,038,902,618,919,150,906,591,547,172,299,956,028,198,258,905,871,
168,897,224,705,139,920,319,039,344,068,710,125,499,768,378,067,672,277,469,
430,865,237,079,585,196,355,525,672,366,017,888,383,530,752,870,562,475,952,
961,669,589,569,369,775,863,848,994,081,899,800,528,207,217,771,620,128,405,
844,517,446,546,770,868,009,829,821,237,901,895,237,627,465,500,616,698,528,
566,796,703,243,987,586,122,617,122,157,784,121,858,959,206,723,182,060,574,
182,949,135,835,981,977,284,258,781,917,095,103,476,825,169,516,172,517,685,
470,384,018,980,650,461,416,773,032,427,102,040,755,061,609,785,426,136,519,
337,030,832,020,927,334,032,024,148,728,922,653,325,904,709,340,491,527,218,
450,526,784,194,282,947,035,433,908,370,279,307,473,156,543,597,418,058,062,
698,357,134,859,460,959,538,964,382,491,103,810,777,614,222,155,301,000,585,
860,081,876,792,205,071,540,950,037,822,571,339,460,682,517,239,286,192,905,
459,830,393,220,785,315,077,387,845,601,141,967,841,331,863,299,278,662,956,
113,686,081,048,679,391,762,752,748,479,750,649,982,215,857,109,705,674,333,
896,699,637,672,917,532,274,909,288,394,567,398,693,660,467,695,240,069,691,
757,924,308,863,816,252,067,776,616,163,651,626,619,630,136,888,336,886,915,
900,643,578,275,944,346,274,794,498,694,942,104,023,365,997,519,941,699,714,
030,896,509,350,187,185,176,356,842,242,171,731,168,265,482,166,407,939,280,
824,534,312,116,048,869,174,848,155,178,506,539,949,878,773,154,206,013,765,
012,243,674,300,828,745,628,231,841,660,094,320,342,793,384,734,499,923,819,
123,705,033,336,616,836,950,053,946,753,752,279,192,355,840,051,567,955,463,
581,605,566,063,074,940,914,638,930,532,858,063,221,364,965,645,964,442,175,
834,344,848,117,220,707,749,155,965,469,980,741,707,160,416,077,054,172,809,
123,253,614,781,458,158,741,836,893,816,272,290,396,652,343,177,234,947,132,
423,455,420,717,194,120,920,599,386,502,934,583,918,764,585,236,625,970,292,
705,153,921,148,446,233,687,925,805,789,538,272,366,620,057,285,710,961,651,
046,344,998,432,612,372,475,635,881,784,004,167,208,369,050,842,862,961,239,
888,790,557,174,229,962,421,154,549,748,555,972,518,122,878,924,211,913,666,
969,954,730,427,236,064,429,001,451,138,674,077,381,861,033,103,189,810,665,
045,767,466,861,674,904,623,779,492,417,036,251,412,084,839,682,926,310,268,
409,215,062,042,307,470,352,113,517,041,430,377,908,211,121,430,246,551,316,
542,868,525,765,433,425,198,565,664,219,691,882,218,758,410,787,498,320,182,
623,176,099,272,465,169,751,005,986,376,751,914,296,982,501,913,756,110,328,
002,920,124,653,750,812,616,564,717,497,560,530,127,669,857,818,811,879,510,
009,595,002,645,698,282,914,613,698,401,579,899,817,160,952,941,320,315,682,
275,646,195,175,375,143,156,740,446,287,810,340,710,453,973,734,592,786,891,
849,201,039,464,409,178,968,382,524,676,509,172,306,970,260,240,246,483,795,
721,727,068,616,746,482,810,363,600,295,856,957,687,494,825,980,727,341,632,
046,907,986,963,182,157,493,857,797,773,706,845,490,529,041,430,242,496,851,
144,080,986,217,151,963,158,667,154,561,644,345,847,001,031,086,632,702,640,
912,289,660,639,925,654,632,505,709,327,820,406,852,976,850,437,672,291,375,
722,658,698,523,604,930,897,917,089,473,307,920,163,819,681,860,200,937,841,
113,547,832,221,298,186,845,638,921,980,489,097,176,568,024,047,780,988,619,
048,937,507,524,051,257,127,494,353,249,809,351,196,542,066,262,907,212,421,
996,160,879,775,111,501,030,204,783,221,178,588,057,044,912,135,556,872,237,
208,033,152,652,404,082,799,867,920,374,670,481,650,584,250,399,193,088,985,
168,251,293,954,156,768,046,353,400,954,008,157,615,754,207,675,174,010,763,
973,986,831,001,656,646,343,188,198,208,125,606,697,797,477,880,800,276,399,
896,479,399,130,906,613,357,887,671,099,793,903,573,635,023,208,165,938,936,
734,275,964,426,887,510,519,370,205,697,849,424,583,857,000,657,020,053,718,
213,459,450,071,525,202,638,654,766,756,659,963,935,767,244,035,214,304,086,
045,118,609,043,154,068,188,685,770,700,060,335,467,957,616,393,594,842,245,
403,119,319,544,352,553,438,456,232,094,137,009,847,609,828,748,289,371,469,
325,761,103,633,431,454,546,003,410,272,964,257,884,859,996,863,119,256,260,
043,663,428,420,003,185,708,203,443,160,545,582,286,748,712,043,971,111,688,
258,866,583,109,796,566,588,696,607,683,122,236,732,020,129,885,767,472,248,
762,855,877,814,993,720,160,659,639,601,850,761,629,833,104,627,958,701,974,
137,937,045,248,431,250,919,492,876,966,293,864,388,547,528,137,622,427,163,
900,865,965,081,882,367,279,003,023,649,722,938,453,830,388,573,576,923,618,
634,110,528,422,545,871,272,778,834,254,140,009,502,294,508,052,423,122,369,
864,944,638,220,972,685,840,219,701,381,437,439,319,095,321,192,705,235,662,
804,810,492,504,055,475,953,914,126,248,292,797,966,082,206,130,956,733,785,
467,357,466,719,303,093,900,394,707,321,665,986,821,145,605,038,234,554,631,
993,198,625,368,718,723,785,575,950,688,991,327,723,239,462,338,862,151,400,
851,757,308,392,857,534,564,388,234,862,982,548,477,186,700,271,965,676,561,
281,965,441,206,893,922,858,456,801,816,205,074,327,184,264,693,460,655,981,
276,768,990,599,821,267,521,357,787,482,299,415,905,029,639,371,291,519,994,
688,253,520,773,181,678,417,865,234,536,029,491,001,564,658,546,985,901,579,
700,868,225,272,933,974,590,420,335,950,132,221,624,511,250,794,244,586,467,
539,322,656,221,377,779,466,281,301,900,599,279,208,816,688,401,006,270,188,
746,030,371,121,393,715,444,123,222,890,950,834,240,783,036,232,339,230,486,
695,850,442,916,225,315,800,325,837,705,540,779,108,280,317,065,602,445,157,
147,597,071,533,041,142,378,759,583,444,358,634,943,679,732,791,102,239,232,
104,192,955,670,194,167,192,912,718,610,544,049,532,759,277,836,706,616,222,
832,005,552,363,061,985,193,860,286,162,081,010,295,541,646,821,942,994,098,
002,785,368,411,955,265,779,430,618,060,294,942,737,116,442,539,332,373,806,
736,869,212,116,307,711,774,949,974,359,002,059,222,673,769,652,722,750,232,
900,764,484,237,980,913,600,480,821,883,097,323,276,085,156,510,899,848,718,
995,775,590,684,561,169,647,809,041,565,308,363,367,133,956,767,861,427,092,
469,100,041,569,890,477,285,438,987,968,055,882,558,790,157,179,619,682,280,
744,251,268,949,544,062,975,186,866,649,919,154,503,840,580,783,328,933,224,
144,210,467,725,230,573,481,721,369,576,787,445,879,834,991,550,934,336,963,
542,716,530,345,051,736,008,670,720,991,116,978,973,760,792,396,773,465,515,
590,098,448,145,538,625,750,195,336,847,369,603,928,610,196,687,136,265,181,
942,359,807,651,129,595,478,649,498,244,213,911,561,836,924,638,584,960,755,
320,762,303,888,201,384,280,578,398,095,092,252,218,643,661,919,210,594,821,
181,307,897,189,929,073,283,850,232,948,431,971,326,865,684,334,518,754,593,
575,006,924,223,132,621,442,969,520,425,342,427,316,471,767,619,152,854,718,
991,695,959,574,648,671,954,728,193,206,455,538,596,033,419,259,768,233,723,
472,130,743,453,378,997,945,695,999,517,416,527,147,538,917,542,300,813,754,
389,343,505,345,040,804,351,410,956,955,166,475,152,136,906,366,040,917,932,
360,183,885,525,046,186,197,143,882,177,200,977,596,850,560,206,399,436,192,
148,077,472,125,796,586,188,054,419,393,052,488,146,993,348,237,134,923,050,
042,824,127,917,002,349,068,211,420,688,771,725,703,441,814,922,708,167,531,
201,647,223,047,987,475,335,097,600,279,550,135,081,976,896,077,119,783,655,
274,951,313,174,625,626,390,467,195,697,800,296,070,973,000,476,679,777,956,
271,728,659,092,161,517,481,089,482,909,763,456,898,063,022,739,701,730,284,
733,789,643,304,809,101,186,652,291,356,506,190,720,724,061,389,236,634,909,
597,433,021,401,634,444,882,392,324,061,701,555,028,807,710,956,573,178,177,
793,153,205,022,364,741,827,302,872,216,318,673,859,201,310,866,116,808,535,
912,153,869,838,251,135,164,260,193,190,684,710,759,125,529,351,810,139,377,
110,800,818,325,020,741,355,200,714,963,115,617,318,225,327,530,834,047,198,
097,734,073,669,907,729,743,375,077,576,180,998,056,303,469,294,748,875,990,
555,906,769,292,398,503,128,643,394,152,837,587,681,874,566,112,689,419,068,
871,547,132,480,825,296,700,628,426,430,081,123,520,674,864,975,634,508,079,
663,883,718,148,580,359,835,153,921,306,970,534,394,105,747,128,168,404,395,
431,014,881,892,850,356,805,914,770,438,548,534,886,739,898,876,021,779,027,
625,591,864,581,191,020,626,989,336,690,228,346,893,732,440,298,107,555,468,
817,479,961,006,762,018,822,228,672,236,723,675,736,778,497,636,617,947,536,
830,644,811,477,080,340,573,792,913,148,507,940,765,141,828,329,133,177,088,
524,624,293,795,886,724,301,090,431,180,793,402,122,687,507,933,805,056,191,
736,987,888,927,979,590,211,222,799,508,877,413,532,458,770,035,283,065,802,
557,702,374,022,099,581,451,184,269,036,663,028,126,192,994,025,144,307,956,
964,324,254,853,211,350,052,842,922,283,996,047,662,256,767,934,160,196,106,
671,663,140,403,281,133,447,473,368,812,387,802,162,570,553,219,996,432,271,
925,040,611,045,091,384,139,304,448,690,498,285,083,720,789,338,404,654,174,
589,970,031,541,319,179,398,882,811,781,902,330,173,574,270,702,507,831,482,
035,172,802,622,368,757,076,495,027,368,739,449,066,972,914,271,370,825,760,
087,432,083,117,405,056,484,639,137,452,596,314,182,441,015,980,707,449,742,
946,888,793,763,444,819,395,062,132,451,791,111,100,285,191,912,454,507,830,
910,821,682,677,400,362,455,438,121,585,642,752,098,129,640,450,178,056,300,
344,095,268,958,279,290,182,650,483,951,593,271,033,338,867,485,926,611,918,
105,889,232,692,948,282,567,762,253,391,518,635,859,737,830,652,143,774,307,
227,514,617,199,838,392,092,276,420,997,762,944,545,316,257,939,198,392,335,
431,170,720,435,656,276,270,202,771,390,470,066,004,666,935,596,601,374,333,
383,095,649,730,576,562,773,409,911,743,811,850,505,434,911,264,207,321,925,
374,377,960,899,894,270,739,814,003,838,473,281,692,028,280,032,654,016,023,
812,492,056,657,540,894,994,169,051,996,770,538,571,938,762,439,524,861,091,
498,516,470,265,333,164,072,338,942,935,548,212,164,979,994,708,273,140,363,
805,565,048,537,484,601,666,080,044,048,013,787,863,740,030,985,580,353,759,
533,963,116,909,512,637,875,965,663,263,396,796,627,231,291,743,331,723,587,
857,488,712,151,753,617,336,004,020,523,256,392,680,310,137,474,886,154,187,
779,626,254,363,928,612,712,970,162,469,332,002,947,980,649,594,464,464,474,
754,773,403,460,455,289,785,457,901,101,729,022,839,145,735,474,261,868,763,
210,831,760,896,410,152,865,184,029,285,137,781,523,609,740,561,198,041,706,
050,178,330,336,602,733,000,017,700,509,406,981,841,861,926,581,322,570,479,
883,830,935,553,979,341,676,113,435,403,259,476,985,515,939,290,980,409,122,
616,966,042,923,108,073,774,145,041,704,882,628,156,568,035,119,360,035,749,
204,269,150,127,353,197,778,999,374,888,737,164,983,844,339,810,115,507,576,
043,911,587,785,524,452,567,493,176,982,479,126,716,058,978,896,311,359,208,
126,877,551,180,303,931,246,747,351,897,993,141,052,753,957,542,481,749,321,
183,143,804,385,757,965,263,428,851,357,006,038,554,780,907,640,833,572,406,
678,049,992,929,934,543,378,220,506,398,693,512,871,332,083,592,919,939,871,
177,728,478,499,845,835,116,116,906,404,987,781,662,212,685,243,947,708,956,
377,720,633,466,338,922,363,517,117,332,070,712,235,472,127,456,431,335,627,
465,319,562,569,892,003,169,580,928,039,684,146,072,272,714,547,475,031,216,
674,080,472,650,341,718,437,293,808,664,572,095,159,392,973,304,866,283,772,
137,647,086,165,404,111,900,282,785,554,847,705,771,592,249,688,705,178,080,
301,645,053,155,029,243,481,696,332,898,112,866,534,378,224,355,478,120,550,
631,115,231,755,358,820,678,191,067,160,190,543,489,299,532,139,503,451,938,
137,834,197,328,809,771,062,158,682,398,150,142,183,167,679,369,575,128,990,
633,944,866,950,454,297,845,361,042,658,300,994,214,038,634,195,944,907,853,
607,149,221,010,680,592,320,852,158,980,211,432,164,592,897,218,951,460,151,
343,316,870,839,697,975,356,733,318,018,453,799,749,906,018,555,296,614,453,
042,705,791,716,953,630,849,508,035,766,966,124,049,326,102,666,844,550,137,
508,128,765,377,372,102,373,913,703,227,490,778,855,050,779,729,644,737,418,
347,242,473,904,527,818,030,195,892,852,186,035,606,753,757,480,538,053,114,
738,118,445,270,764,839,052,013,839,769,478,970,357,093,280,342,437,849,049,
244,041,094,560,320,346,118,622,486,739,947,391,319,902,606,208,695,578,503,
567,716,413,216,688,481,664,925,168,126,397,341,775,627,834,343,678,849,044,
042,699,431,566,138,175,405,755,828,908,813,423,286,508,690,727,537,282,056,
075,196,435,812,790,979,040,090,811,666,012,079,513,091,010,105,725,531,050,
645,443,008,307,838,239,726,251,542,816,035,351,563,378,093,919,294,262,218,
089,398,447,948,804,118,065,884,074,053,256,490,617,064,629,045,368,260,742,
898,792,159,455,102,985,210,957,683,229,750,839,329,427,447,271,854,513,234,
582,533,351,720,128,013,590,895,990,312,178,043,759,641,608,449,991,773,157,
562,157,900,091,075,942,868,721,535,945,902,068,131,500,404,925,669,637,950,
827,905,666,123,138,958,258,837,015,902,610,329,078,596,902,944,827,207,135,
367,427,613,467,087,546,208,016,993,180,320,882,953,463,676,978,902,150,070,
097,071,134,994,434,142,485,460,453,430,102,325,168,927,439,538,808,436,599,
660,992,731,563,418,239,402,708,022,728,808,655,003,654,707,242,988,299,319,
289,081,632,521,890,978,278,826,321,384,927,376,392,270,211,112,503,365,083,
972,768,911,132,201,232,000,640,889,432,492,595,255,985,307,201,459,364,239,
519,341,243,155,524,160,517,310,326,995,155,777,110,378,775,689,510,723,542,
258,801,734,539,337,093,769,977,358,173,038,658,905,927,296,240,477,649,240,
200,131,998,846,377,876,899,603,294,232,671,832,144,757,333,932,441,247,554,
150,292,468,710,038,090,404,131,193,606,538,519,786,076,112,415,159,455,431,
487,503,534,266,134,689,931,749,407,913,144,326,849,867,988,507,484,964,665,
004,048,245,405,903,809,055,382,216,987,730,845,907,768,397,179,878,395,687,
613,725,759,960,420,128,417,143,776,787,824,105,991,034,698,975,421,314,143,
049,968,570,444,557,840,171,562,367,794,596,426,802,986,129,075,239,952,200,
229,863,764,768,698,324,375,722,952,401,428,586,490,260,054,135,823,322,945,
320,658,021,723,434,624,536,940,064,230,566,971,627,593,576,259,053,297,701,
157,190,421,196,984,656,881,312,703,056,629,748,063,929,680,482,931,733,640,
953,558,155,410,115,608,887,378,545,497,411,646,236,535,062,611,208,783,638,
423,168,389,067,455,548,359,680,091,449,059,837,469,791,192,103,720,355,473,
377,496,850,313,390,294,905,455,873,792,234,210,026,721,098,601,403,903,576,
725,715,365,194,455,837,923,923,013,931,148,584,721,487,852,970,756,262,773,
264,566,777,954,675,731,274,510,071,902,068,710,813,325,012,517,905,544,097,
990,707,092,495,775,635,536,556,990,573,347,908,404,642,270,326,312,377,044,
590,214,020,095,015,480,824,191,612,321,626,658,358,610,230,897,348,519,124,
724,601,560,895,848,980,487,804,179,284,145,690,779,504,477,362,948,381,296,
761,497,069,448,427,222,948,732,612,809,943,848,806,423,000,268,842,458,572,
343,117,595,147,192,425,276,557,104,207,547,009,434,093,632,294,767,249,072,
997,345,373,168,986,096,993,129,511,634,143,007,375,350,514,495,882,780,005,
926,228,998,004,680,570,635,888,607,942,451,990,789,181,037,649,342,819,099,
998,988,541,247,361,280,257,097,348,938,351,837,506,962,771,583,339,497,699,
215,893,668,624,627,248,802,503,108,836,174,597,255,974,937,701,651,227,703,
966,213,965,645,768,322,496,393,968,885,855,144,570,688,720,142,573,332,516,
119,339,992,868,885,316,391,429,063,973,939,853,221,869,194,841,868,393,400,
890,782,673,879,965,615,813,726,543,306,996,358,321,085,457,217,017,646,663,
277,750,024,532,251,528,705,949,146,996,298,345,589,672,656,039,911,636,652,
246,980,600,965,754,603,086,073,700,828,556,066,547,753,512,162,711,379,054,
812,224,695,691,135,863,107,215,348,523,693,139,474,683,229,219,763,029,632,
184,882,645,376,131,009,380,927,012,995,012,685,525,686,627,007,278,022,688,
792,048,881,339,400,051,534,685,359,936,447,286,252,040,620,427,063,726,214,
499,021,187,483,969,305,631,810,840,413,291,017,113,039,885,279,481,909,746,
716,780,978,372,549,292,174,846,425,387,483,491,503,336,200,692,522,141,937,
609,587,229,148,273,513,263,136,200,976,212,371,176,378,065,991,386,511,188,
971,492,981,203,301,906,206,315,444,888,519,556,105,847,423,832,719,440,139,
249,431,163,620,386,931,117,744,365,056,439,895,696,984,579,354,818,941,337,
784,449,606,803,409,960,166,968,824,730,140,064,553,073,684,219,406,518,756,
878,060,984,669,400,559,066,312,348,346,941,837,848,773,158,524,043,955,540,
613,979,758,572,522,426,161,932,745,703,923,422,902,415,017,093,383,194,265,
633,968,943,447,936,841,458,444,378,586,332,983,384,305,478,841,727,046,198,
386,591,660,809,002,401,339,495,643,684,199,809,183,856,779,321,633,647,552,
960,744,138,038,988,294,232,835,367,969,083,946,411,286,571,216,724,049,653,
674,623,140,034,994,111,300,498,797,405,933,854,737,112,823,863,244,203,796,
698,194,132,757,810,811,740,241,955,119,024,641,116,000,602,566,495,335,673,
482,779,697,591,455,737,573,946,734,140,699,736,735,120,763,937,331,526,261,
355,539,239,578,385,843,123,431,289,680,861,850,163,851,905,557,262,437,212,
232,953,037,199,953,095,179,173,772,916,278,878,649,564,503,324,462,905,345,
800,254,132,312,398,631,600,433,459,152,543,433,179,915,301,404,930,075,754,
088,786,095,590,192,843,698,525,131,554,009,313,954,863,229,805,874,377,024,
417,875,940,314,367,629,804,947,962,363,399,940,223,672,907,843,224,409,474,
895,484,594,032,229,811,989,947,413,144,568,836,929,747,594,461,434,862,808,
936,795,185,722,120,571,103,549,637,403,828,150,824,785,872,545,429,189,772,
244,153,168,707,548,317,281,401,699,915,146,527,544,504,954,912,467,498,515,
398,102,134,423,725,333,307,718,891,584,725,132,616,776,237,839,533,217,914,
151,816,555,078,178,466,147,222,925,129,221,317,618,820,395,662,144,586,643,
687,569,499,403,839,893,795,939,260,595,541,417,339,038,441,483,936,899,753,
924,558,513,722,011,559,920,028,959,296,883,414,603,747,871,370,313,625,789,
691,886,827,562,518,595,150,734,768,011,514,328,933,893,320,102,946,501,502,
885,601,446,094,030,669,190,374,753,358,072,573,540,775,693,627,257,125,264,
232,793,319,970,732,104,658,142,024,666,779,334,748,648,916,446,735,232,393,
977,889,667,443,611,197,722,676,209,041,371,935,118,470,814,805,436,239,120,
107,582,643,439,694,834,032,729,992,209,571,946,996,829,969,429,956,598,984,
788,758,564,086,039,890,786,162,665,206,776,747,563,378,308,662,621,445,745,
642,866,323,231,919,206,842,206,230,116,150,792,622,888,274,650,567,031,063,
046,530,758,179,160,331,859,409,629,504,750,792,999,405,688,810,669,586,387,
428,791,390,645,375,757,225,169,037,099,886,734,862,872,480,737,481,528,709,
805,894,751,563,392,580,017,828,830,556,062,028,111,977,755,237,487,903,624,
056,949,684,728,616,661,756,917,102,940,660,640,294,146,702,195,236,851,807,
465,797,693,092,419,825,537,790,599,312,120,634,266,854,308,576,327,552,570,
613,261,368,315,342,851,279,990,571,103,716,490,512,005,661,024,244,430,639,
368,461,965,355,721,473,137,458,889,686,056,061,376,319,114,951,231,252,522,
475,558,326,229,683,654,924,204,211,644,126,613,098,862,570,275,264,817,236,
016,296,486,924,526,523,831,166,087,526,868,904,558,826,126,734,597,410,243,
284,001,256,334,776,458,239,024,968,988,625,796,719,215,481,375,048,546,112,
048,995,716,190,867,346,887,368,070,894,036,266,833,993,872,326,451,800,646,
122,488,101,743,031,399,854,003,896,519,177,852,046,348,421,684,324,602,568,
094,032,550,434,808,909,257,121,277,137,812,095,494,384,317,265,470,633,053,
038,111,332,701,206,728,304,233,431,487,026,947,979,307,290,216,035,651,271,
689,693,062,376,664,379,866,863,420,423,792,431,689,481,000,987,896,705,753,
282,145,533,454,844,091,638,396,385,645,952,107,076,047,871,718,852,979,095,
816,061,712,194,236,918,977,024,522,870,570,953,479,382,130,058,664,097,216,
676,987,555,471,657,537,800,649,741,746,837,448,822,234,357,150,861,031,678,
397,443,917,384,361,057,435,965,540,148,711,520,414,564,777,073,714,505,403,
151,391,648,594,951,163,589,027,140,633,185,225,362,627,415,636,884,874,430,
322,686,154,676,201,874,446,860,229,320,825,760,708,060,219,479,881,587,161,
405,657,193,705,328,748,909,069,096,897,534,598,595,487,373,615,703,401,431,
748,729,438,956,376,396,323,256,815,635,986,746,810,460,181,559,636,880,005,
987,670,703,781,852,400,462,739,260,016,129,805,467,895,647,323,000,270,157,
608,909,055,362,003,096,831,437,075,287,686,909,571,844,780,746,326,869,207,
094,155,383,328,446,648,755,740,878,698,363,931,432,843,554,496,648,232,824,
724,894,232,180,313,590,420,294,066,783,789,085,182,705,733,188,208,123,102,
745,631,632,253,020,573,425,549,445,132,591,927,062,002,865,665,822,984,992,
631,620,318,465,562,602,732,944,777,479,197,006,521,991,384,067,003,531,758,
725,706,685,727,318,107,048,890,752,180,856,337,712,012,038,491,897,506,980,
293,277,726,509,713,481,291,852,286,471,572,245,332,581,909,083,868,013,344,
499,091,699,261,332,091,603,606,362,685,443,662,850,024,158,301,894,158,797,
212,372,512,928,262,351,451,498,283,828,744,752,134,957,747,597,875,972,623,
545,727,447,326,012,439,288,855,751,431,579,407,871,226,538,644,726,792,175,
774,289,458,785,591,037,366,954,463,109,850,121,595,294,268,564,378,218,627,
894,876,291,824,293,496,524,823,467,374,548,932,417,473,823,324,447,242,391,
077,242,807,116,432,661,781,524,721,384,502,945,021,896,113,386,073,314,367,
891,621,895,663,866,867,390,136,894,708,806,932,035,804,676,638,194,604,055,
615,664,319,728,193,843,419,061,451,765,773,322,268,635,384,204,272,819,009,
799,640,137,501,989,632,969,501,125,166,122,529,988,667,348,714,689,874,811,
843,606,632,306,712,207,632,452,590,499,498,339,418,173,252,086,796,028,049,
367,000,492,515,826,744,832,332,142,445,279,347,284,193,649,867,434,632,951,
957,235,650,598,835,590,422,172,284,478,108,689,191,365,386,441,762,384,242,
800,264,069,997,067,522,087,057,637,052,941,421,883,615,482,994,552,774,496,
547,528,343,669,833,513,524,552,058,749,193,256,379,677,723,595,615,802,949,
150,138,475,718,710,201,746,242,742,410,578,327,811,662,358,464,506,248,020,
190,509,472,291,757,769,495,856,345,956,283,706,190,682,520,642,201,569,935,
768,380,814,416,924,458,275,095,844,617,291,848,396,740,893,488,053,565,496,
039,918,686,827,868,286,753,185,629,946,348,247,970,244,305,012,534,800,533,
742,604,175,307,811,984,341,576,496,616,211,054,608,792,089,326,666,837,551,
007,374,058,763,892,106,367,582,232,314,830,927,883,377,305,764,618,532,594,
622,908,374,789,910,513,401,502,621,665,559,197,426,949,934,747,821,599,176,
071,771,602,501,661,685,514,735,776,954,866,008,572,680,054,503,153,926,035,
829,285,701,430,366,427,786,423,927,204,533,824,691,564,480,815,719,483,042,
620,375,336,762,147,036,164,174,037,213,546,229,298,459,943,476,053,356,760,
608,382,738,303,471,528,953,922,091,539,385,783,449,158,740,355,159,704,824,
612,229,179,184,815,661,146,070,975,020,775,395,228,324,882,586,737,271,216,
228,255,833,586,482,439,450,722,974,121,164,230,798,754,301,920,835,163,573,
889,731,994,201,874,847,019,420,733,153,205,845,118,160,734,892,095,781,679,
064,128,539,657,760,066,083,907,650,818,252,051,603,187,580,010,433,098,452,
200,844,022,701,598,484,023,439,223,254,867,175,243,758,823,123,729,691,047,
476,879,445,038,431,463,339,778,036,429,157,940,088,109,438,313,803,920,069,
977,532,058,607,418,440,602,677,735,468,899,120,454,968,587,185,393,066,792,
592,510,928,294,390,998,982,962,752,510,079,585,337,403,183,045,332,721,199,
438,056,700,452,981,036,071,096,166,538,098,670,160,499,168,742,761,567,347,
359,264,123,437,556,357,868,494,445,949,485,655,334,934,153,789,677,856,195,
054,084,770,249,884,668,979,912,236,774,460,381,412,845,371,343,644,760,384,
583,316,163,004,731,324,471,659,726,663,428,577,919,230,920,727,978,228,904,
637,205,421,017,315,373,150,260,467,996,474,280,815,336,237,730,057,386,371,
589,795,409,368,992,790,177,300,064,600,529,901,789,943,202,363,184,390,682,
564,596,193,992,476,867,925,792,674,430,812,569,722,722,715,632,883,468,139,
690,424,350,146,272,813,488,958,427,875,031,307,269,560,339,333,343,810,579,
109,989,980,877,138,240,533,204,459,022,329,356,886,541,740,028,739,054,514,
819,874,937,490,737,152,102,956,384,284,476,276,472,072,514,951,654,855,663,
521,289,443,041,118,589,257,349,370,127,520,521,854,837,829,233,085,356,700,
281,923,014,022,107,792,175,756,494,949,996,678,129,960,992,663,818,259,754,
860,275,327,779,667,430,327,403,383,639,989,374,001,076,524,894,448,039,258,
349,998,593,545,475,042,669,752,835,821,071,088,260,757,016,152,626,948,244,
863,687,080,029,316,719,198,901,002,293,767,826,638,193,935,578,612,896,564,
245,120,338,995,572,875,167,535,696,794,868,049,949,735,196,405,342,817,298,
272,448,230,171,136,307,838,878,327,392,164,483,866,985,956,607,980,796,549,
184,128,958,224,454,456,041,151,807,164,699,134,823,582,932,928,409,585,213,
619,025,302,568,221,459,895,233,146,968,687,208,062,957,395,416,978,231,191,
324,384,430,386,008,011,859,290,189,521,758,662,215,256,109,328,186,679,526,
300,178,655,526,182,444,149,567,203,288,869,426,595,508,889,994,332,928,001,
535,535,405,955,667,420,229,238,169,505,091,733,625,444,177,328,101,887,609,
293,240,844,728,914,367,763,354,094,573,669,911,629,583,963,823,237,028,975,
270,538,473,827,501,501,409,911,163,713,629,833,200,316,894,146,603,298,712,
499,557,087,263,765,225,001,159,797,263,127,618,421,397,689,626,781,075,689,
695,059,970,721,170,996,162,360,168,625,070,849,238,997,482,223,346,018,633,
213,061,188,827,981,626,000,881,780,954,569,615,862,917,329,695,216,597,760,
258,772,367,154,503,471,521,486,231,896,201,961,393,106,518,665,884,506,279,
297,552,096,833,960,807,610,617,613,919,097,176,405,426,081,252,141,188,801,
803,287,262,043,872,678,016,220,945,436,317,000,162,968,356,793,515,433,366,
259,396,636,243,815,997,728,949,475,109,758,551,414,004,768,900,621,147,724,
345,699,884,299,421,150,514,882,091,279,339,014,587,142,468,992,925,972,902,
643,424,713,772,007,730,894,291,823,473,469,803,469,898,882,935,035,246,640,
124,732,081,012,078,004,332,032,654,538,269,607,262,884,392,401,868,064,321,
192,013,940,615,769,663,171,628,782,981,229,389,561,995,958,597,937,262,115,
512,840,639,131,550,708,424,953,424,053,653,061,307,073,732,548,694,234,890,
041,637,408,410,231,265,419,865,093,332,403,756,994,549,252,932,044,597,622,
502,189,365,464,895,712,792,164,060,719,997,087,290,171,097,550,225,520,360,
094,747,299,498,141,825,652,274,423,451,387,010,610,782,589,465,683,064,912,
607,811,097,543,067,312,539,565,960,506,414,044,608,579,215,202,367,220,892,
436,795,689,492,893,398,687,882,407,368,762,624,395,633,956,500,470,056,724,
750,755,493,263,919,112,806,599,085,740,467,309,005,768,228,366,603,011,667,
761,206,284,834,066,823,768,351,035,056,358,224,808,734,539,845,679,419,691,
186,676,147,197,063,853,082,434,521,671,493,266,120,432,081,585,734,621,214,
685,900,650,150,475,416,642,118,382,415,434,743,853,267,390,763,993,301,868,
308,099,153,922,079,032,012,222,240,249,869,611,524,991,024,110,045,537,898,
105,614,805,684,303,612,036,690,099,713,801,967,871,475,258,177,311,907,011,
066,617,875,957,136,875,645,546,805,890,447,418,167,896,214,162,197,523,078,
198,002,868,158,974,743,052,986,549,669,647,193,798,633,475,005,941,423,704,
712,980,546,392,609,910,537,173,620,670,009,501,727,268,389,537,614,166,862,
002,712,252,159,501,797,780,899,386,583,149,927,424,738,958,423,374,271,131,
792,172,714,221,126,945,258,564,938,117,096,514,981,440,737,444,215,739,231,
231,703,656,638,181,402,702,827,376,843,226,183,837,557,680,324,130,791,879,
734,870,651,333,603,322,144,882,937,505,860,742,740,777,209,657,708,561,628,
182,885,050,065,411,025,385,224,141,060,804,469,160,076,401,862,829,266,776,
145,409,445,256,345,119,176,725,316,587,600,404,002,888,217,935,281,966,346,
230,978,466,865,945,718,377,656,737,503,736,879,923,830,158,870,699,601,301,
285,128,435,452,357,518,381,890,669,868,320,500,466,638,954,444,015,626,347,
660,181,564,154,584,394,135,117,148,212,908,538,486,377,619,920,023,663,240,
293,582,145,585,475,892,517,619,546,386,251,438,189,611,230,557,274,242,255,
673,577,837,087,250,654,337,238,239,720,169,692,141,325,986,443,245,657,718,
627,491,226,882,097,756,036,285,977,372,807,482,847,409,159,298,042,384,938,
024,064,203,013,943,508,521,583,743,007,287,502,312,643,941,476,323,116,170,
603,121,427,217,455,058,133,929,291,398,471,357,248,532,974,311,470,166,712,
702,019,163,420,160,983,887,807,290,728,046,765,059,379,766,678,818,519,564,
739,130,177,211,473,438,643,400,875,458,763,326,498,049,848,228,266,721,837,
507,932,557,034,061,054,578,129,641,383,221,810,904,728,794,634,596,706,425,
761,779,548,293,761,362,930,158,696,606,478,746,289,249,406,021,151,669,319,
278,466,692,572,670,578,109,197,538,952,119,382,058,614,945,394,324,918,595,
516,193,886,068,578,713,333,140,464,129,542,130,688,471,434,666,931,511,898,
565,022,952,270,300,170,904,043,804,162,601,847,718,304,666,506,128,642,589,
326,708,689,733,146,407,601,632,498,539,098,206,928,870,823,867,242,521,102,
022,167,693,648,788,884,250,038,417,505,546,524,529,209,095,919,049,384,667,
514,931,477,110,826,708,895,253,749,316,899,307,492,898,984,022,025,798,162,
119,601,719,776,607,645,342,741,984,714,548,876,444,311,532,518,857,384,754,
732,049,800,619,452,409,030,781,333,593,885,486,634,554,237,038,629,831,441,
305,840,938,707,464,652,924,143,365,740,236,243,126,977,223,398,411,554,495,
701,926,134,560,160,011,018,701,063,514,544,609,171,775,981,184,074,618,423,
123,022,368,094,845,246,691,631,439,552,085,796,826,557,858,722,600,339,563,
425,614,555,629,038,927,728,096,825,321,204,992,070,565,340,068,688,149,633,
535,803,448,714,792,261,930,642,160,194,742,615,348,709,222,031,292,943,403,
527,435,552,319,216,104,725,905,835,803,624,666,230,908,540,167,726,667,760,
498,338,574,691,261,974,193,396,033,514,222,640,547,203,461,439,769,677,715,
763,981,022,585,620,268,178,894,200,397,441,484,979,700,568,122,868,344,186,
251,057,320,094,143,618,031,551,496,637,723,478,378,296,508,419,916,785,111,
021,449,600,627,217,546,160,200,947,474,892,095,238,465,981,836,338,522,006,
016,476,432,622,906,339,248,370,047,292,408,766,008,762,472,202,798,629,528,
592,886,223,094,198,716,309,397,873,710,744,953,902,703,478,021,622,643,538,
099,096,176,412,759,646,838,127,534,786,896,849,767,715,912,680,779,242,185,
384,958,449,539,948,872,728,016,001,076,469,185,759,280,450,099,451,227,276,
850,764,990,606,727,097,303,054,275,945,762,908,973,889,187,407,055,794,106,
650,094,738,649,282,582,361,224,651,127,948,938,275,554,750,400,601,152,168,
394,447,060,328,302,988,480,459,291,930,101,217,222,262,983,739,286,565,544,
674,172,385,436,696,811,232,856,427,803,220,769,077,874,658,863,388,269,028,
293,002,754,354,797,690,364,428,516,704,043,803,507,877,725,889,711,608,503,
754,542,411,357,340,357,539,218,256,487,027,445,324,056,323,213,171,553,752,
194,570,384,794,239,336,469,037,465,795,970,425,768,114,666,818,351,868,101,
728,607,324,759,594,057,675,915,715,271,341,296,243,277,921,286,623,115,750,
848,672,343,125,852,304,695,857,455,265,982,227,200,684,057,096,169,316,755,
853,536,646,019,141,449,822,620,789,340,412,408,063,916,771,464,367,204,860,
198,020,635,476,941,754,588,682,126,962,353,820,530,154,059,068,434,280,012,
326,340,296,849,254,235,295,013,593,702,113,317,598,360,118,286,651,748,267,
494,764,381,928,360,184,107,032,606,495,030,344,493,756,202,350,656,338,417,
502,992,084,528,234,756,992,517,703,708,645,161,183,646,323,166,062,471,678,
404,876,315,141,749,184,480,966,369,872,504,476,977,233,189,231,634,703,359,
303,956,209,384,897,357,793,563,817,264,114,546,092,443,522,393,127,062,594,
698,092,664,414,569,970,452,970,181,750,787,568,303,558,393,677,825,604,978,
951,814,695,711,655,623,226,086,619,314,308,298,048,669,827,515,628,385,944,
635,104,241,588,300,443,192,999,115,690,953,548,363,638,163,013,434,896,985,
795,899,210,890,812,674,253,324,350,014,308,657,581,046,304,006,209,750,987,
745,369,946,958,808,454,136,962,508,057,105,808,224,996,274,995,783,122,546,
283,343,282,128,088,126,098,572,297,600,346,936,603,227,422,482,385,123,100,
238,396,784,531,545,165,946,046,989,431,013,263,701,550,631,838,769,496,265,
794,762,198,432,671,658,569,649,809,667,504,567,601,748,657,043,557,781,809,
473,520,372,930,741,977,113,498,674,465,954,532,795,330,578,015,977,704,856,
478,244,817,243,035,266,473,842,303,785,892,219,303,942,487,395,435,897,271,
940,428,158,294,805,481,088,383,302,368,674,736,993,862,962,230,644,395,878,
273,889,441,175,746,239,199,259,240,012,462,415,647,095,155,685,408,677,293,
880,539,959,780,336,348,222,842,520,808,524,879,624,227,537,729,706,992,959,
617,820,638,383,935,882,282,457,136,524,325,679,941,290,029,649,123,101,001,
235,478,375,524,443,395,604,769,909,554,958,501,184,096,939,333,795,897,947,
939,658,890,737,190,611,599,234,263,448,022,617,671,605,457,362,163,080,341,
457,999,856,167,799,630,461,769,144,008,194,650,169,812,088,162,480,901,299,
203,909,108,443,615,068,057,873,761,188,249,303,230,941,690,154,646,992,282,
970,061,592,000,943,386,000,058,132,673,704,090,672,359,431,882,474,696,639,
461,100,797,000,311,561,295,198,721,460,410,193,190,491,530,989,318,415,634,
506,005,154,739,253,144,180,222,045,465,862,901,773,986,720,715,194,005,112,
068,539,190,515,843,210,184,896,250,465,793,882,044,880,379,576,451,698,364,
868,913,886,707,633,575,726,666,416,312,438,961,048,472,282,588,830,296,251,
133,084,770,359,456,617,604,587,123,838,362,804,618,804,728,474,879,144,446,
422,708,510,868,537,813,321,793,637,413,972,111,319,619,904,726,599,957,049,
571,249,113,493,817,759,877,959,958,019,543,640,481,615,244,684,013,749,541,
066,468,325,230,350,598,466,204,614,487,827,189,007,971,574,831,524,859,427,
246,999,044,452,849,153,206,695,391,422,995,211,231,589,518,080,234,973,513,
980,340,552,026,991,191,016,122,268,776,545,211,561,298,868,693,672,241,728,
045,514,616,266,898,310,687,956,261,357,129,080,310,305,194,949,876,620,774,
080,027,615,596,354,005,276,401,163,144,041,719,733,334,865,256,701,198,341,
023,730,368,729,617,916,093,977,440,068,091,670,509,016,585,564,994,019,357,
065,682,392,862,228,080,145,976,721,092,049,386,921,951,458,163,118,133,338,
738,203,989,503,497,640,039,768,235,276,076,484,809,937,189,564,362,995,275,
738,475,628,572,330,115,773,867,038,625,949,380,854,995,759,822,368,004,457,
460,942,556,939,460,549,111,904,185,099,567,930,607,132,523,844,406,721,897,
955,569,733,332,320,290,141,395,027,598,937,346,609,768,733,845,806,822,877,
695,606,469,669,779,817,669,609,200,554,588,579,755,580,337,187,803,005,738,
109,856,864,847,689,898,153,050,058,724,826,703,573,383,970,854,254,136,742,
801,563,608,782,102,493,193,129,205,646,567,347,898,879,061,435,551,226,132,
919,182,222,108,795,345,354,645,915,219,294,254,602,785,216,361,941,011,235,
523,764,316,222,930,048,830,939,438,915,842,128,288,363,968,401,379,164,451,
562,540,873,422,865,547,774,876,411,425,344,789,621,602,186,277,216,306,110,
014,578,916,123,976,021,502,302,526,393,731,599,976,756,178,255,775,202,476,
926,915,999,739,579,584,409,723,328,916,337,220,399,482,667,981,503,416,366,
230,888,229,550,644,901,899,817,085,139,261,735,358,563,774,669,034,960,092,
202,034,186,242,619,342,851,398,521,294,592,712,657,770,478,945,084,297,825,
174,814,559,011,292,131,083,808,962,333,230,953,846,150,102,055,508,163,374,
121,669,806,451,802,841,022,913,438,216,353,070,074,483,051,013,347,061,035,
106,754,047,939,593,659,043,132,121,466,864,159,859,984,937,411,081,958,407,
985,899,858,089,303,858,807,431,802,495,704,265,409,837,670,235,984,218,497,
578,842,464,202,856,139,285,803,742,561,421,642,586,501,794,427,308,801,472,
395,678,249,046,289,850,262,847,086,064,804,687,651,929,131,585,728,957,670,
644,286,804,554,520,978,706,002,752,527,921,951,512,544,828,802,506,982,124,
222,780,754,477,190,465,939,857,405,010,220,612,115,668,716,384,048,146,527,
503,619,991,108,086,895,596,956,038,868,339,990,437,944,431,433,374,308,526,
244,569,456,759,601,032,827,644,718,914,684,312,984,448,636,648,668,089,569,
446,485,081,147,316,583,338,402,358,366,333,084,961,924,666,667,281,719,848,
241,533,378,670,680,526,412,331,169,245,456,891,319,580,989,691,507,140,658,
193,752,048,552,835,061,137,062,503,784,392,878,626,072,943,890,661,459,088,
261,401,317,438,712,945,677,782,907,264,230,235,565,057,791,348,506,596,905,
879,220,823,438,174,691,172,023,227,163,788,635,749,632,741,004,493,087,304,
490,330,806,367,332,386,756,382,545,675,137,300,953,777,861,255,098,490,351,
823,861,845,840,254,156,875,246,232,997,733,202,423,039,988,345,422,497,640,
304,332,401,882,943,934,656,991,158,512,813,385,265,900,511,261,967,902,171,
771,551,872,689,673,590,241,551,385,095,478,188,801,931,216,485,871,957,232,
141,152,713,958,635,435,523,317,038,045,571,181,479,825,890,423,338,634,651,
002,174,721,275,028,754,847,080,490,556,663,936,527,977,907,285,190,098,081,
674,037,458,831,781,196,537,239,491,982,880,275,619,381,811,167,107,776,055,
891,246,491,610,471,908,841,426,335,451,186,942,727,195,860,057,287,998,241,
206,573,367,768,914,627,664,010,339,130,111,051,696,916,075,491,084,006,306,
921,807,343,411,818,921,798,054,274,477,412,977,766,008,901,744,052,571,755,
679,543,676,776,316,842,564,527,712,051,970,077,856,770,470,802,159,390,314,
287,825,219,165,933,675,300,077,567,687,255,067,333,914,143,430,215,690,736,
473,387,459,632,281,668,150,834,969,260,646,706,615,277,688,140,574,444,288,
100,008,082,561,182,482,054,256,039,590,742,808,977,472,217,898,823,488,362,
481,243,953,200,650,711,441,178,815,839,959,228,097,238,744,501,635,287,272,
819,762,885,448,802,132,805,366,868,484,416,272,369,975,820,578,028,199,071,
827,415,094,391,357,852,582,809,785,006,210,447,066,494,965,772,072,707,184,
199,571,825,738,940,649,863,612,031,956,775,957,180,790,984,896,167,642,733,
026,341,596,824,235,602,968,064,664,055,655,299,702,483,121,765,686,428,822,
233,885,082,151,870,884,595,769,966,520,803,637,222,416,777,262,900,704,728,
630,483,306,018,423,104,283,303,215,689,722,120,746,859,551,030,412,924,671,
113,535,792,980,301,672,607,780,002,475,706,307,822,901,657,256,903,459,684,
379,204,910,913,612,012,104,183,803,775,759,447,066,640,267,207,964,016,511,
862,336,093,830,588,449,792,502,554,228,461,758,859,377,978,846,461,999,851,
752,225,049,668,214,087,552,771,126,422,055,001,353,914,699,491,437,418,075,
272,349,539,000,666,783,932,875,859,281,801,027,807,959,209,809,563,434,074,
239,468,089,846,701,535,799,889,057,644,365,373,211,940,984,733,169,942,074,
206,320,429,065,689,368,187,667,343,237,134,502,728,206,381,142,831,340,918,
147,831,453,724,962,942,566,717,750,399,524,343,815,227,372,041,478,557,509,
395,031,149,353,649,435,593,878,155,645,009,577,220,541,083,534,573,938,337,
998,039,028,314,726,556,296,928,964,370,174,923,074,758,617,518,733,170,980,
118,602,821,786,144,174,000,714,598,583,713,666,257,621,368,457,056,770,198,
074,530,353,328,511,782,595,372,781,830,408,603,018,197,255,627,039,834,467,
768,955,191,528,750,320,638,909,998,065,035,574,659,492,131,365,897,398,178,
221,357,736,429,052,416,650,320,815,692,300,599,531,525,678,053,337,926,941,
351,420,398,308,577,557,449,598,420,439,794,438,728,441,884,058,693,398,898,
272,599,768,594,631,138,765,188,937,632,272,469,515,556,448,309,423,731,403,
925,221,576,593,859,445,466,951,391,926,616,668,529,692,455,111,170,872,997,
359,942,444,014,343,999,298,296,255,852,195,751,228,693,358,172,576,874,327,
238,814,632,275,262,899,194,737,343,482,360,739,159,311,895,183,764,737,370,
317,384,050,736,696,303,012,328,907,955,498,258,225,705,543,950,731,262,663,
837,509,313,320,883,406,504,398,274,565,928,250,192,329,973,949,515,299,367,
232,249,537,316,366,226,049,449,244,354,353,860,163,586,959,459,075,375,911,
182,504,429,599,257,991,728,864,027,141,772,816,053,354,653,146,056,576,638,
220,853,529,388,914,838,643,059,388,471,711,828,906,277,425,784,340,973,256,
859,026,251,043,753,297,470,463,991,437,204,703,408,781,377,062,314,213,166,
182,495,398,588,975,662,259,270,892,382,047,424,527,606,469,669,756,946,672,
218,390,999,323,576,115,013,092,446,579,347,997,172,960,928,571,525,452,402,
509,513,890,401,085,218,473,577,827,743,907,565,822,224,857,704,349,162,101,
082,486,454,461,740,087,432,396,458,400,803,325,579,917,206,539,598,058,718,
050,791,499,124,892,188,831,166,965,797,037,126,696,797,567,238,840,283,466,
859,632,929,228,330,555,508,864,605,752,670,876,860,248,277,486,801,463,289,
527,840,503,118,983,357,635,964,372,860,828,182,017,227,064,743,637,093,800,
748,367,951,210,493,272,862,030,773,528,592,275,269,893,770,299,480,049,735,
590,608,358,898,432,350,326,054,464,018,131,163,948,653,576,836,442,292,231,
757,440,998,291,628,408,821,964,960,644,321,295,187,017,657,043,183,882,361,
440,922,534,489,353,357,909,935,939,421,434,726,393,884,943,077,847,613,296,
420,997,934,281,950,341,223,200,520,651,977,796,471,272,208,042,486,787,536,
417,986,693,589,046,450,548,953,470,278,996,012,210,818,302,454,002,798,936,
086,185,623,578,932,463,683,963,257,715,185,768,293,178,074,800,377,004,914,
064,570,409,058,412,546,096,647,149,098,676,231,397,127,468,514,068,983,259,
453,799,186,274,076,987,845,464,691,909,846,561,919,870,372,478,072,600,472,
325,428,813,167,037,186,323,536,384,147,939,250,494,779,773,861,611,592,609,
980,437,385,847,052,906,333,561,293,656,801,826,297,999,970,375,425,451,714,
972,534,700,765,247,416,103,394,071,841,058,567,492,516,727,005,135,809,799,
424,940,262,349,676,963,872,899,275,206,368,107,964,516,239,973,391,601,293,
676,807,386,088,358,065,044,080,163,630,623,094,358,109,327,052,286,861,910,
572,490,367,011,988,652,286,356,618,153,839,578,445,744,685,561,395,437,898,
522,216,383,221,045,160,244,690,623,773,271,927,248,394,369,248,196,025,107,
199,177,846,158,098,907,094,006,238,599,060,916,539,212,646,826,962,355,704,
684,516,742,954,754,831,208,741,565,902,191,576,014,284,866,815,729,701,429,
112,314,706,147,959,686,650,556,850,525,269,816,840,407,193,938,285,768,399,
307,856,304,465,823,254,620,842,337,461,367,699,863,303,342,643,424,692,720,
648,405,555,043,788,340,791,626,459,180,964,841,527,684,127,403,247,059,453,
012,556,551,773,349,208,997,821,587,225,601,331,416,240,085,041,787,249,191,
731,593,090,350,506,701,254,820,293,688,743,141,578,445,662,794,223,181,576,
312,516,925,106,678,241,067,293,450,284,859,623,530,236,831,610,763,097,298,
974,013,820,669,697,049,631,625,107,184,311,271,460,991,046,026,556,453,863,
923,370,787,075,515,917,355,524,755,551,525,925,846,956,343,195,762,062,924,
396,747,773,189,105,014,914,835,862,874,793,865,292,700,753,254,059,521,022,
668,997,391,537,743,551,848,474,397,439,482,992,005,111,417,334,835,660,680,
346,939,556,066,402,151,063,684,757,808,860,434,504,918,316,420,268,871,935,
272,466,394,249,984,428,696,811,578,980,768,881,432,402,208,929,440,203,098,
200,802,521,465,006,705,982,357,750,185,989,150,442,918,433,378,288,640,928,
876,863,180,851,157,685,881,050,698,064,542,280,248,310,081,058,413,810,658,
369,784,726,912,516,916,119,932,620,173,055,358,970,204,762,495,127,767,398,
639,611,942,899,060,900,225,606,830,850,434,007,987,877,927,680,834,554,782,
480,485,008,618,558,841,539,847,271,707,874,278,756,176,152,048,233,991,677,
732,686,640,720,106,839,849,591,098,029,694,278,679,293,158,978,884,703,651,
739,470,601,293,641,245,499,245,436,257,296,425,817,639,768,736,753,339,615,
763,907,283,045,641,726,799,728,337,625,100,185,474,438,700,675,842,166,315,
203,368,173,099,527,654,967,506,534,604,861,194,937,021,163,675,284,037,598,
304,905,023,499,161,502,668,571,404,089,333,739,236,369,005,660,557,391,783,
672,290,849,306,177,108,473,199,443,682,810,327,250,813,930,276,766,531,985,
740,279,131,670,129,664,395,355,770,010,498,491,026,436,312,369,298,180,178,
553,326,093,606,212,165,187,700,654,055,963,603,182,528,676,029,376,380,836,
837,410,983,509,799,807,061,367,375,639,492,563,896,490,087,510,394,977,262,
104,253,472,648,332,029,887,828,857,249,363,950,594,056,047,123,054,541,893,
069,049,094,435,902,221,665,626,707,040,429,151,123,697,188,588,992,443,597,
003,096,806,330,638,675,521,774,120,004,590,976,803,192,710,070,933,457,364,
420,750,704,233,053,496,885,640,188,548,581,949,407,268,802,158,542,832,169,
504,654,616,995,249,494,758,366,768,412,091,179,742,455,362,574,122,550,697,
445,067,394,086,101,868,824,524,743,030,681,905,969,081,950,893,770,971,557,
489,597,316,645,604,212,971,315,586,340,682,199,039,311,625,002,541,292,059,
044,545,993,634,658,686,131,121,533,427,429,548,335,122,304,145,142,484,964,
931,867,250,134,036,099,864,283,381,684,625,076,740,658,508,883,159,519,961,
631,675,739,509,133,970,534,751,383,309,733,287,906,894,239,672,715,547,989,
200,069,555,554,880,657,794,403,062,267,479,704,785,687,221,964,896,383,908,
652,566,528,547,701,355,388,207,842,178,450,093,308,873,182,414,948,381,546,
296,860,693,412,708,389,905,218,264,209,369,261,968,497,180,260,105,345,469,
377,350,363,543,615,222,545,139,089,369,659,601,582,795,501,839,970,320,516,
073,941,418,139,479,193,013,238,791,405,232,871,721,648,719,220,982,067,832,
656,358,374,836,052,778,872,366,586,553,323,647,377,736,974,448,732,645,600,
425,968,533,059,623,091,345,302,032,525,925,780,204,908,617,143,724,351,183,
928,775,519,415,917,664,256,346,401,373,167,581,805,777,025,625,187,313,987,
718,431,856,592,637,336,388,649,066,049,847,529,966,496,628,738,035,781,092,
214,313,559,973,286,213,856,766,462,632,522,567,273,936,176,074,189,067,179,
433,571,421,003,687,259,344,250,281,290,755,250,659,964,013,044,836,594,714,
135,162,872,525,466,217,751,088,044,777,890,441,560,520,259,231,254,760,203,
309,805,989,256,620,160,909,772,733,970,363,256,848,717,377,213,158,740,515,
495,546,206,996,616,879,976,941,399,184,305,060,562,227,700,806,393,031,697,
816,938,817,021,285,911,650,691,532,235,694,006,337,517,357,234,184,029,253,
025,916,781,970,768,316,968,916,443,706,055,340,706,780,768,874,081,134,249,
829,245,999,643,698,924,234,334,044,480,178,612,177,077,539,511,680,130,335,
360,397,072,601,798,900,234,040,578,831,092,965,396,539,948,224,291,722,133,
102,294,176,252,171,998,791,908,084,486,435,383,186,289,890,298,602,363,491,
030,308,654,121,533,078,929,951,400,333,348,825,378,444,582,741,648,349,564,
319,951,988,931,097,614,439,581,135,870,354,415,600,513,865,789,003,993,293,
075,197,167,385,176,321,652,881,165,394,186,045,380,457,350,548,328,406,964,
392,565,409,193,253,556,975,711,650,717,305,048,050,796,825,950,617,800,817,
484,170,715,242,137,351,974,192,440,578,047,591,026,820,332,287,060,118,887,
523,726,330,149,369,871,024,079,493,628,106,834,630,424,207,272,597,707,361,
549,958,067,672,240,083,169,807,689,715,303,214,456,275,053,716,773,240,721,
305,463,442,962,572,559,406,537,115,122,261,407,420,759,602,750,077,759,344,
863,476,356,284,274,560,471,137,129,104,444,893,387,807,743,595,596,651,961,
744,348,747,219,687,767,575,219,783,379,222,192,374,678,558,274,136,590,193,
905,825,232,025,668,568,962,099,151,847,108,327,151,244,720,156,587,064,288,
781,387,161,855,999,860,879,471,234,305,989,126,738,468,828,744,367,452,377,
340,069,611,705,950,197,332,832,575,457,329,157,294,525,750,477,171,665,978,
110,530,449,359,529,978,409,947,303,514,017,477,815,928,924,935,360,973,602,
483,614,389,812,340,615,866,547,685,603,624,242,257,086,835,765,655,400,763,
292,639,021,042,246,697,561,012,914,399,399,894,166,424,973,634,574,011,218,
542,038,158,519,991,591,435,337,449,126,346,166,725,327,981,657,047,240,508,
846,158,454,884,909,408,806,009,603,383,972,289,642,302,435,698,052,013,997,
333,354,903,941,439,757,002,687,125,100,943,436,282,496,028,078,223,907,878,
732,789,834,069,956,139,535,635,603,303,813,702,447,369,085,859,794,136,439,
541,763,503,195,197,721,426,393,719,294,761,626,394,484,581,151,188,529,975,
726,137,090,713,753,382,730,278,283,462,585,051,860,910,086,295,034,973,076,
337,445,451,734,485,079,923,798,739,181,758,608,888,477,768,951,522,872,240,
298,192,482,832,128,458,648,858,756,803,708,570,687,834,853,101,529,501,252,
654,686,466,485,180,816,527,746,045,682,745,065,116,792,293,493,020,258,999,
427,720,528,149,693,293,575,610,757,525,187,352,845,610,794,046,121,964,366,
327,721,355,821,998,506,977,033,769,117,372,188,904,772,153,178,427,398,006,
843,422,393,872,859,383,929,249,698,058,200,684,999,361,220,596,729,581,044,
616,393,794,748,609,198,023,543,609,938,628,887,840,258,975,931,172,874,919,
572,732,677,772,585,117,822,700,491,710,360,765,677,127,131,291,434,642,477,
014,225,010,843,470,675,379,784,532,809,392,879,794,146,202,931,127,723,770,
308,270,357,478,403,696,346,651,251,293,196,718,755,384,459,048,996,399,895,
446,315,765,140,105,905,096,502,289,584,937,771,379,464,137,611,235,093,805,
181,826,841,197,877,306,594,647,555,007,693,460,898,072,007,756,972,795,279,
637,948,956,668,378,882,301,004,696,687,442,227,762,659,144,119,770,124,260,
994,298,787,549,691,400,064,641,595,356,061,044,095,465,094,606,095,760,966,
612,210,018,428,016,109,819,707,113,011,098,945,323,065,941,310,284,706,202,
693,969,713,888,937,912,877,610,015,191,053,388,584,090,460,255,827,955,879,
670,294,601,769,424,703,130,361,312,791,603,644,267,683,800,179,622,441,663,
866,875,584,202,213,812,228,166,485,282,581,321,060,869,035,389,259,371,220,
900,631,707,194,173,824,756,634,407,371,949,003,324,645,680,790,962,122,284,
093,414,916,402,224,674,163,287,807,468,670,445,103,039,458,119,309,190,817,
517,312,534,579,579,025,119,251,160,916,594,783,132,873,112,665,932,618,436,
790,150,026,556,594,557,637,319,638,843,700,375,192,722,092,052,759,168,693,
622,595,974,276,083,649,008,611,213,796,310,681,388,779,096,376,518,251,095,
702,542,999,539,953,104,115,209,317,489,259,644,573,769,618,994,109,274,772,
662,171,347,206,448,631,855,016,106,412,288,367,476,647,855,305,383,946,554,
778,884,196,933,052,465,949,324,429,540,792,475,142,542,488,613,445,591,425,
135,242,028,417,253,128,447,214,236,932,199,583,591,990,832,166,917,409,071,
063,958,462,728,508,049,128,491,726,377,180,732,747,592,120,360,100,987,232,
196,455,824,255,140,041,558,625,007,568,707,167,112,054,948,613,854,188,060,
823,194,203,106,215,594,216,924,389,556,594,227,112,039,013,601,521,361,410,
692,794,938,790,542,145,017,962,391,270,663,109,801,233,183,774,400,723,588,
041,530,047,284,347,119,463,994,021,284,684,506,895,241,855,611,683,745,080,
509,204,752,744,850,112,737,605,345,948,983,183,581,439,558,178,669,663,678,
391,745,467,065,958,717,420,057,620,029,769,467,902,380,306,034,437,235,931,
311,270,292,719,323,638,697,487,353,773,166,534,019,839,465,472,961,566,705,
252,199,682,943,115,158,457,192,077,306,287,653,146,491,547,463,848,424,241,
963,938,457,316,681,149,932,957,659,743,081,864,039,167,844,735,712,526,917,
424,580,102,874,087,368,252,935,782,280,192,147,022,163,498,369,672,233,826,
543,191,130,579,241,649,244,525,655,171,788,568,093,613,239,122,521,360,291,
587,546,945,073,164,948,346,361,712,667,554,537,668,297,720,496,809,099,535,
899,492,334,881,268,894,831,932,087,818,519,281,608,923,485,537,783,593,739,
348,001,683,999,228,312,366,895,143,535,603,562,672,735,377,538,915,983,891,
479,233,852,421,352,083,325,623,903,929,525,044,969,792,919,362,857,623,123,
832,975,725,464,056,191,991,878,158,665,344,615,217,631,278,234,077,310,837,
158,077,302,411,281,254,947,808,245,634,981,337,905,284,935,349,259,130,333,
269,905,280,616,913,046,750,592,888,525,887,829,399,815,536,812,414,330,824,
351,879,987,616,369,106,026,686,695,546,337,421,240,989,511,186,228,726,064,
946,388,451,563,283,550,214,716,527,177,659,201,372,157,860,574,841,652,987,
114,151,853,562,512,707,610,958,896,951,088,180,348,393,027,881,486,416,213,
052,560,822,685,114,360,839,707,296,233,699,655,564,452,159,858,389,577,693,
608,316,769,324,084,466,035,025,452,314,720,318,993,232,774,125,380,988,570,
176,280,395,538,936,696,567,290,053,354,763,394,301,456,079,584,110,104,276,
181,522,310,669,192,252,715,908,227,797,168,608,931,478,193,730,474,377,084,
121,124,833,318,347,828,380,317,696,071,780,774,097,390,032,653,755,142,207,
215,180,090,890,744,343,006,477,401,609,596,937,056,840,214,217,213,018,959,
441,959,004,862,178,815,561,161,933,450,258,371,103,677,520,967,945,122,705,
134,312,708,080,743,682,521,811,429,990,393,502,049,523,735,751,914,347,461,
738,271,993,694,393,871,340,196,257,901,221,551,131,175,204,741,379,501,103,
507,380,714,166,862,501,516,391,417,934,316,847,164,043,760,415,453,148,903,
813,993,613,512,757,862,232,805,535,452,938,808,023,532,378,353,090,791,259,
665,832,189,370,748,502,293,225,914,406,546,931,173,501,876,076,192,427,086,
853,286,598,435,206,620,871,871,853,170,039,495,791,635,332,712,504,259,683,
297,249,606,382,128,474,005,466,032,429,422,696,518,262,138,233,235,305,024,
326,289,789,395,483,494,000,848,925,966,738,827,266,903,578,556,061,191,462,
954,854,844,953,355,082,996,510,592,571,766,177,622,842,653,390,815,401,641,
568,078,916,884,529,980,292,270,773,161,617,287,088,285,570,459,871,651,595,
604,640,031,842,842,727,027,709,412,303,670,325,798,310,325,946,479,812,066,
909,145,262,366,772,455,029,343,095,589,868,265,347,185,870,133,213,906,875,
329,383,507,954,077,110,910,523,992,180,594,242,898,731,391,961,253,250,362,
741,868,647,979,428,402,708,213,779,257,611,548,720,433,188,889,205,857,572,
345,634,388,549,369,372,171,195,387,941,597,750,240,485,901,619,564,228,471,
128,599,919,086,884,582,485,074,038,186,443,056,799,885,817,432,398,515,828,
779,144,086,809,328,236,033,651,618,155,656,128,527,470,125,609,559,097,378,
559,005,860,786,822,122,575,608,684,314,981,723,427,399,783,815,435,961,959,
126,264,135,512,881,523,696,533,736,823,163,338,689,827,282,557,689,095,381,
007,934,068,995,862,956,128,270,652,869,409,500,058,293,431,887,180,891,249,
059,737,076,251,322,147,869,919,982,638,461,762,657,955,035,734,172,658,900,
700,707,654,113,248,435,511,956,222,979,718,587,366,845,125,521,894,649,758,
093,073,493,473,247,601,976,419,757,839,503,048,928,525,909,110,673,852,492,
207,819,798,545,756,916,185,634,470,197,911,248,061,670,162,249,956,475,346,
026,365,292,307,122,049,637,288,861,478,274,402,082,924,198,779,869,952,158,
173,430,714,531,691,185,744,102,772,345,612,979,548,648,719,724,449,216,267,
795,374,998,477,034,514,886,176,046,917,365,751,302,545,118,521,125,387,202,
387,293,996,011,418,926,485,595,073,283,735,277,239,649,374,784,999,197,275,
641,379,566,222,289,969,685,706,825,443,377,950,934,957,413,762,946,810,143,
039,277,136,596,201,495,463,240,104,208,878,492,150,598,777,031,084,090,728,
496,816,051,219,787,197,833,151,629,111,480,535,484,408,225,302,005,187,283,
867,330,140,605,836,530,503,628,898,353,366,779,821,541,709,182,769,170,014,
773,943,971,084,770,805,136,023,238,451,112,923,708,295,124,363,980,764,080,
953,011,220,325,500,973,673,534,831,808,777,509,174,889,038,980,444,707,458,
319,418,661,111,317,650,690,524,172,011,293,081,064,927,318,341,234,227,862,
983,054,193,683,029,806,679,912,006,900,804,612,208,814,235,300,341,388,082,
702,693,299,604,429,998,018,297,023,083,842,786,484,606,473,365,970,168,075,
621,722,324,511,741,863,822,626,389,408,836,255,939,224,634,991,585,314,526,
341,521,298,345,579,587,958,034,385,435,328,382,425,320,140,893,275,640,111,
173,946,516,659,855,436,176,894,711,512,925,226,389,252,448,410,029,395,713,
530,852,769,803,276,597,872,070,234,383,873,776,950,351,795,411,244,162,197,
248,630,999,154,338,916,211,975,115,514,431,988,087,905,299,100,176,091,513,
912,083,388,724,992,065,760,056,838,436,381,924,325,591,770,093,868,558,934,
102,970,985,559,010,580,292,145,091,248,682,547,008,533,173,094,280,942,217,
204,867,582,036,698,810,755,089,144,308,180,415,742,243,965,737,518,374,414,
283,792,673,996,327,298,810,134,810,319,333,301,980,644,927,771,150,432,678,
736,837,934,165,394,157,488,596,841,612,224,742,651,759,620,500,219,266,446,
814,952,232,901,075,112,119,518,695,270,514,329,804,813,586,449,344,499,679,
370,154,445,171,743,411,688,786,149,518,378,034,588,116,475,902,007,553,518,
805,692,972,272,146,910,999,153,424,670,961,134,743,025,765,339,507,849,114,
572,150,554,292,786,395,501,120,488,755,042,624,239,616,059,769,467,308,745,
428,801,539,341,164,508,153,594,618,908,477,450,129,465,936,286,967,862,208,
141,367,275,272,916,566,893,683,574,662,093,297,803,478,085,223,703,134,858,
217,156,375,324,429,108,056,780,068,291,386,765,116,167,833,559,379,398,770,
629,078,708,416,802,588,510,682,102,388,206,256,745,884,330,563,270,784,915,
865,105,932,418,373,459,315,903,960,359,640,948,772,669,004,386,121,964,694,
214,915,562,374,056,884,965,769,855,721,020,646,451,628,202,876,041,733,129,
894,238,939,600,869,862,504,840,895,404,166,994,464,080,310,455,305,483,220,
571,421,127,017,027,806,115,166,303,630,818,690,215,265,768,316,916,720,151,
901,273,103,132,341,232,768,985,570,487,888,150,348,041,631,517,882,158,903,
177,166,642,495,870,465,112,902,131,760,395,588,397,228,131,643,677,263,710,
375,594,845,620,475,804,297,371,124,159,893,133,727,748,074,011,260,914,206,
584,694,608,856,105,523,147,524,994,150,279,653,892,229,507,867,696,476,298,
695,685,320,405,733,698,257,702,633,464,619,325,851,765,662,335,112,005,243,
377,958,681,401,615,174,218,793,457,662,760,282,407,142,205,571,383,008,436,
630,497,784,811,985,026,283,415,393,933,165,239,933,027,065,657,846,763,227,
607,724,441,628,592,943,410,904,266,932,711,356,757,322,946,766,053,987,076,
059,489,820,499,975,732,061,182,566,613,847,786,802,375,314,470,374,429,537,
192,494,787,469,487,636,936,362,938,037,980,068,005,143,947,042,397,505,378,
226,245,039,999,924,860,901,523,027,549,200,087,349,722,057,187,206,719,992,
642,092,543,563,774,825,581,474,785,359,737,870,015,318,784,346,691,048,869,
293,410,201,782,585,546,357,943,448,432,145,198,200,409,419,375,682,495,394,
203,167,035,112,122,175,983,442,680,523,134,339,723,893,026,392,357,631,861,
527,296,850,674,294,078,542,749,485,121,362,264,091,008,422,569,971,897,207,
075,735,313,882,844,282,947,501,321,915,536,508,557,532,780,143,115,068,201,
988,404,735,227,682,946,750,449,596,970,495,351,399,298,596,821,233,030,793,
037,302,167,095,387,466,575,149,563,830,294,989,549,239,649,112,888,441,137,
468,571,672,809,734,013,554,257,340,493,657,077,470,117,330,980,047,001,281,
491,019,683,437,515,364,663,340,327,753,484,049,645,884,167,150,099,841,190,
949,906,920,618,166,680,324,886,360,506,214,908,630,727,665,387,602,868,955,
077,254,628,567,894,146,958,703,107,919,998,049,376,778,500,903,251,525,386,
628,728,071,738,427,161,581,052,794,048,907,816,959,143,590,033,881,588,581,
981,194,178,407,490,606,953,571,205,788,921,601,985,366,348,355,408,686,466,
137,295,789,788,456,989,549,537,661,897,135,955,861,550,549,635,922,841,168,
366,187,550,304,232,531,380,266,962,430,669,651,569,022,015,905,567,590,367,
120,592,962,092,809,922,341,892,323,979,760,319,731,761,393,615,662,743,505,
457,557,112,697,189,761,492,210,643,859,694,966,766,608,639,281,034,265,562,
320,825,213,034,545,262,273,763,510,969,387,641,591,680,200,078,201,052,468,
855,438,437,807,291,310,838,298,714,699,991,467,640,309,553,327,954,290,865,
302,240,747,452,838,448,990,377,421,832,538,724,928,807,208,543,315,975,827,
396,006,006,343,888,258,715,339,903,639,597,545,959,008,799,573,457,340,461,
157,537,650,959,743,710,398,969,000,044,784,498,052,406,456,687,703,350,878,
970,775,168,232,493,458,942,782,824,929,011,359,213,655,139,772,981,824,471,
628,106,327,717,804,213,504,045,286,252,822,786,031,016,284,917,091,822,023,
874,600,390,679,958,660,922,215,954,274,677,257,433,100,036,164,616,148,029,
429,674,289,979,384,793,488,012,059,100,144,174,892,872,193,879,923,178,454,
332,554,110,230,827,437,806,688,959,834,996,965,663,731,076,056,379,235,589,
417,572,281,813,087,273,008,746,511,409,116,078,093,768,367,219,616,751,617,
192,597,976,293,542,308,838,623,460,584,939,691,642,202,261,252,211,036,733,
416,666,902,681,754,123,490,392,561,338,854,446,097,012,815,651,065,743,395,
532,152,285,087,790,677,415,671,291,684,705,100,593,557,034,168,221,687,170,
663,541,301,790,492,910,199,284,722,356,056,109,501,456,368,396,579,566,728,
549,286,427,146,852,713,939,617,316,313,185,758,930,361,999,625,240,971,173,
850,852,437,076,710,376,767,133,163,949,551,300,817,743,179,042,953,376,946,
985,014,063,784,487,944,033,712,709,304,270,092,109,161,184,133,946,545,052,
222,787,197,353,205,371,902,848,449,379,081,742,415,336,504,942,939,167,736,
445,707,376,450,652,093,073,272,064,598,780,433,248,762,497,710,378,555,015,
947,031,439,257,526,415,467,844,868,359,923,307,844,567,076,211,830,243,210,
108,098,403,960,541,870,551,394,844,074,516,090,160,087,463,015,153,135,103,
959,724,101,410,878,267,941,957,041,266,619,987,558,054,449,684,110,283,479,
726,507,935,982,708,610,323,706,618,032,337,804,007,828,778,750,742,690,080,
570,647,612,576,857,135,274,507,775,038,423,548,290,473,562,283,164,323,626,
425,498,199,371,607,563,450,238,007,472,274,589,086,574,048,019,089,301,683,
018,003,703,872,899,906,918,355,966,199,613,108,833,160,552,796,077,871,088,
216,324,039,365,460,650,517,901,013,536,237,776,021,918,380,894,679,769,042,
132,915,046,758,954,593,179,557,633,787,806,573,439,119,014,002,784,724,816,
511,735,382,784,210,246,556,656,646,120,606,015,113,985,379,184,237,453,260,
217,330,469,964,133,819,307,501,250,589,824,403,177,409,894,725,445,633,339,
171,780,408,886,212,916,671,425,262,161,342,329,041,249,539,870,994,807,805,
780,750,694,201,402,103,504,724,828,967,165,623,435,584,409,692,015,618,146,
061,140,252,466,609,748,538,682,649,654,903,293,932,626,100,557,230,071,378,
695,088,144,053,737,516,153,740,389,633,885,362,619,532,850,808,825,316,660,
499,395,782,927,761,160,643,813,745,661,010,160,286,040,807,084,254,521,987,
193,781,689,763,884,586,837,199,203,660,956,727,100,118,908,834,852,323,149,
349,602,178,665,656,278,193,001,979,518,789,132,803,361,094,592,108,009,792,
933,406,123,106,058,519,236,120,898,233,269,046,682,324,666,336,939,353,321,
058,139,103,497,287,428,076,384,945,582,826,423,088,337,969,980,283,570,716,
333,681,459,839,659,955,656,400,763,829,490,011,553,353,561,513,980,976,987,
649,355,796,794,519,353,572,116,966,963,911,687,749,039,153,688,727,095,911,
016,748,819,545,045,688,110,744,638,986,010,003,580,324,896,396,019,216,036,
721,154,434,216,852,011,462,402,766,591,800,141,356,933,711,483,451,301,068,
021,680,683,040,229,413,193,942,216,667,781,614,425,269,989,199,386,363,491,
085,839,654,414,639,441,177,527,711,380,908,203,133,484,832,606,355,091,126,
808,811,158,732,971,357,309,677,902,762,562,244,145,852,002,843,550,701,109,
193,907,875,569,917,500,765,982,240,109,933,460,585,685,688,471,430,145,457,
746,443,980,906,289,058,932,491,657,828,414,426,244,540,136,260,275,599,632,
771,389,179,248,460,119,715,953,655,123,365,954,091,295,268,180,668,626,139,
628,296,624,822,018,831,627,138,918,580,765,562,056,205,352,972,919,211,055,
015,071,883,493,538,637,653,862,567,130,941,849,366,911,346,855,728,279,635,
923,754,228,876,932,341,546,858,545,567,927,023,352,441,089,988,693,849,897,
886,536,144,971,975,251,945,287,584,573,048,505,872,469,287,314,546,702,124,
013,451,915,740,715,373,753,843,007,069,675,273,924,474,087,994,047,047,785,
620,820,107,353,367,815,623,639,651,160,169,560,442,976,402,294,416,214,015,
332,348,920,640,284,214,230,505,029,515,058,155,254,459,745,072,383,742,100,
535,352,903,484,970,009,151,396,520,950,447,269,859,434,148,702,951,298,486,
997,479,674,705,090,394,503,384,456,353,972,359,183,217,151,991,790,572,249,
668,877,050,946,025,538,236,819,143,475,491,197,469,032,171,504,057,999,054,
524,365,441,498,277,727,417,386,670,261,035,245,292,161,906,435,739,118,936,
281,782,437,867,352,057,262,139,829,222,067,294,729,285,582,070,279,624,043,
419,465,629,004,691,047,204,122,223,349,556,942,459,858,729,527,682,741,784,
189,557,380,645,069,336,473,764,249,202,127,072,526,560,411,097,228,886,908,
405,571,840,902,474,917,850,474,233,162,142,884,946,056,827,054,470,664,447,
936,267,746,407,061,233,982,429,758,471,415,384,104,711,382,265,328,828,329,
633,864,546,876,434,991,741,866,360,476,513,644,450,392,602,217,169,688,417,
268,770,106,063,693,599,044,677,432,633,831,613,941,907,350,944,303,439,568,
062,621,190,815,938,985,253,744,981,248,121,677,896,034,902,002,890,962,923,
634,386,527,531,990,544,361,384,855,948,615,864,905,044,633,555,686,432,450,
441,975,292,078,410,312,858,769,754,166,778,476,830,878,812,439,225,005,361,
340,503,734,881,675,182,644,010,479,970,618,334,052,354,470,542,213,141,863,
993,592,738,656,714,568,199,348,615,555,215,499,921,098,841,697,774,761,268,
901,473,864,478,221,917,792,502,348,405,380,228,689,334,738,172,429,135,819,
008,724,877,758,487,361,870,572,260,973,681,803,700,178,313,863,845,901,102,
072,091,654,708,977,526,907,552,308,527,008,112,926,643,583,400,594,069,657,
831,857,263,947,678,735,034,456,521,016,255,576,983,498,549,614,997,345,183,
076,697,691,386,713,576,168,701,743,721,914,168,689,394,358,855,467,599,407,
157,940,269,315,457,373,423,239,024,547,902,099,447,231,452,835,691,514,691,
069,698,724,524,759,016,238,581,264,181,021,339,424,311,506,751,389,048,742,
605,070,399,429,853,431,270,513,784,259,030,183,656,553,953,759,637,265,963,
889,062,840,593,213,806,769,033,556,219,762,894,143,910,715,718,644,604,139,
902,937,280,490,382,713,564,885,650,974,326,272,700,296,224,342,527,019,617,
456,775,564,318,245,105,643,293,403,026,956,188,428,196,109,537,882,000,753,
256,319,182,586,958,878,697,994,874,951,317,337,525,535,964,893,696,027,934,
009,478,881,268,149,129,967,926,476,724,475,462,612,735,078,713,024,915,388,
118,284,914,392,880,695,017,029,864,696,234,847,058,714,910,090,272,506,492,
443,087,318,745,437,289,596,743,330,367,058,997,873,046,619,410,400,962,624,
497,137,225,669,173,645,239,952,699,464,465,966,284,597,052,953,464,417,078,
975,819,452,321,125,783,994,386,038,875,151,483,709,874,474,578,878,855,109,
405,926,748,667,349,696,518,820,963,505,264,254,287,862,384,701,735,780,156,
097,186,959,109,253,851,136,624,849,150,387,085,715,002,009,760,205,362,296,
684,665,487,568,744,761,498,134,823,834,552,603,334,896,620,906,805,407,140,
986,348,514,393,375,768,392,516,210,810,629,358,978,801,688,063,734,170,623,
204,840,642,169,998,465,237,783,816,338,057,044,069,557,442,399,496,318,879,
920,330,903,591,292,010,728,435,255,822,024,813,247,006,542,241,428,106,508,
995,863,111,377,351,439,433,957,659,977,846,631,538,356,005,088,329,697,131,
863,474,647,353,062,854,812,368,585,109,301,483,784,158,386,967,441,721,977,
367,602,925,635,926,917,560,638,408,269,266,896,484,072,015,766,830,225,208,
424,207,618,810,346,575,135,434,099,932,724,448,191,028,093,410,106,406,892,
464,184,321,111,098,801,464,765,795,774,578,503,340,103,278,422,918,855,159,
639,485,672,523,749,802,225,174,955,228,467,499,742,443,655,740,907,945,961,
166,501,610,506,238,876,516,531,644,495,321,133,751,881,480,074,512,365,023,
367,664,772,509,517,020,920,039,528,206,366,614,401,956,737,240,230,693,492,
985,195,517,668,852,917,042,483,557,177,413,732,519,383,154,932,035,140,360,
591,547,187,826,819,559,819,205,099,003,749,670,488,229,330,573,239,102,761,
790,663,469,497,611,928,619,748,347,802,109,011,662,399,969,542,830,247,016,
206,231,716,197,722,934,651,337,505,996,419,962,288,541,009,729,379,216,013,
453,063,041,579,290,420,514,284,184,818,681,399,210,721,142,217,851,230,241,
997,543,841,192,295,157,632,540,887,581,177,377,854,464,237,129,973,581,221,
827,030,054,989,816,814,014,170,954,395,586,006,789,707,693,596,680,407,500,
687,307,402,574,309,802,277,260,939,604,431,191,090,417,809,557,547,583,564,
663,975,307,981,621,882,474,899,761,183,850,617,570,501,312,619,407,509,746,
090,158,245,248,052,713,577,086,574,060,370,135,718,625,792,838,371,647,567,
980,951,512,671,812,780,881,333,182,868,339,627,006,159,010,283,610,769,110,
158,998,234,730,695,345,798,929,762,912,873,687,543,923,393,941,824,365,431,
485,680,120,637,318,890,573,859,974,140,171,303,231,515,395,037,074,060,724,
634,776,228,794,643,795,387,299,151,205,143,949,606,501,897,556,947,763,569,
836,593,748,250,143,551,130,822,426,131,849,302,459,956,908,861,816,759,592,
900,063,515,333,674,080,212,714,643,010,650,121,274,493,305,602,208,971,197,
607,918,020,622,645,422,092,398,140,971,117,388,651,892,092,023,207,479,812,
328,972,609,487,892,535,598,498,408,547,824,727,652,528,800,208,318,334,090,
204,381,206,489,939,736,330,181,134,934,507,781,568,735,610,762,556,626,591,
692,039,381,852,172,172,715,848,277,031,394,130,236,056,712,204,980,419,058,
019,589,783,369,435,488,327,179,524,190,221,660,420,385,923,794,854,847,665,
557,126,754,714,871,941,873,471,920,365,221,999,366,814,024,787,523,223,729,
905,191,550,052,552,349,466,697,696,931,694,712,250,573,063,483,759,819,824,
222,453,289,465,639,004,809,678,637,513,555,979,948,841,900,385,934,218,071,
814,779,941,702,812,813,472,549,497,267,879,633,958,960,637,137,475,847,038,
022,173,977,142,147,097,153,480,629,771,723,776,386,353,665,236,897,177,353,
392,784,911,986,929,110,019,289,095,815,329,530,492,365,123,323,278,782,620,
941,811,466,208,796,436,483,373,805,993,641,872,085,588,749,593,002,962,751,
349,573,035,599,156,160,096,549,667,871,133,920,024,812,503,773,742,956,246,
306,972,746,444,890,646,871,176,573,336,298,533,240,295,482,217,203,632,999,
566,212,978,617,813,754,662,285,840,206,859,912,395,356,427,049,393,633,843,
665,573,045,198,828,909,763,276,602,450,831,880,770,522,364,501,990,445,542,
510,293,860,190,275,656,931,373,982,528,103,787,678,441,007,108,207,946,754,
572,172,700,461,420,982,185,298,771,911,830,553,207,134,810,159,942,432,116,
110,216,602,174,472,162,357,766,487,521,027,619,318,110,896,631,195,503,498,
482,079,295,537,280,684,476,694,034,001,976,524,502,396,439,050,114,362,735,
940,250,910,384,732,923,654,623,527,247,037,750,096,527,389,449,304,049,450,
852,440,219,576,730,829,732,096,724,430,952,263,290,596,142,171,284,155,243,
692,797,209,927,167,715,795,479,968,855,238,841,934,509,399,397,315,949,753,
316,042,012,429,507,023,481,003,397,332,975,280,513,202,029,897,865,076,010,
214,714,347,371,197,405,296,667,000,629,539,604,058,525,670,317,767,171,605,
274,795,706,209,829,089,099,602,115,460,837,971,825,284,791,931,235,996,196,
577,735,922,494,783,795,167,744,107,063,224,647,556,806,702,186,386,911,281,
243,607,798,158,593,024,137,021,445,905,601,599,737,955,870,437,215,902,137,
730,628,655,547,914,362,328,862,880,782,547,307,203,617,476,702,491,282,513,
850,499,501,396,262,752,347,119,624,804,683,874,621,114,526,643,354,564,282,
140,497,486,123,160,732,732,205,981,672,961,675,062,102,024,602,976,430,963,
088,010,613,651,203,734,320,972,977,535,469,890,305,525,391,399,693,172,603,
170,177,125,980,330,216,526,858,701,658,383,756,120,419,301,016,560,836,085,
662,331,242,500,306,912,192,961,109,504,805,590,261,559,178,729,636,885,469,
140,946,442,585,237,546,799,150,858,377,916,609,013,812,373,541,626,616,702,
174,054,900,671,752,497,808,988,942,212,269,145,806,164,884,322,889,528,563,
505,336,971,687,553,651,597,376,322,552,619,476,265,226,413,211,856,746,568,
828,250,758,033,320,210,331,890,907,827,783,508,501,845,253,810,264,655,557,
060,567,331,084,717,704,029,501,403,999,404,236,438,314,983,574,667,739,989,
094,638,144,374,647,029,056,770,822,585,714,507,992,806,657,577,438,188,321,
840,136,270,165,011,684,815,574,037,444,355,902,282,633,317,635,814,952,900,
632,281,090,903,656,453,215,841,409,135,577,241,120,861,752,860,696,607,539,
597,333,320,856,208,983,486,434,273,138,575,821,063,896,746,291,776,898,078,
176,210,330,302,872,904,596,398,875,760,608,653,254,318,141,273,524,926,951,
929,347,416,925,179,999,365,202,992,131,580,333,760,176,227,135,556,430,014,
540,917,219,016,313,496,755,876,935,849,924,970,164,938,916,212,447,351,197,
799,809,340,248,112,324,608,601,383,275,155,908,084,349,127,151,072,836,442,
524,853,176,947,291,699,675,624,009,449,773,051,988,451,088,946,874,169,817,
794,711,172,182,295,585,920,609,122,831,981,930,021,548,358,706,403,297,500,
774,957,574,820,013,594,513,008,602,813,290,570,488,228,705,400,197,046,789,
783,635,656,327,986,050,245,390,179,226,978,342,661,038,417,831,697,035,637,
201,229,217,841,409,647,940,672,716,171,884,488,862,286,545,224,128,582,532,
814,557,895,047,920,128,381,367,801,142,450,505,353,040,132,123,631,156,163,
999,684,053,508,342,196,012,944,642,036,533,919,770,472,254,364,291,205,848,
009,632,756,408,905,785,426,983,617,376,133,714,176,516,953,303,209,302,000,
514,278,871,314,870,897,874,498,264,223,749,828,733,809,060,495,690,644,280,
501,307,022,964,766,509,107,487,728,736,290,967,789,917,095,815,057,224,395,
405,880,592,036,051,181,165,625,605,083,288,544,410,263,042,613,578,985,708,
260,229,066,678,597,438,434,038,264,083,083,013,839,542,114,634,347,363,742,
280,114,726,005,348,531,972,571,692,971,679,018,302,122,589,556,509,708,465,
912,258,481,884,368,106,756,760,551,434,035,831,047,550,496,596,714,143,538,
763,783,854,950,319,193,836,555,468,652,056,175,281,618,882,140,413,885,117,
509,580,476,568,400,137,036,698,604,864,004,166,383,904,384,082,659,280,123,
539,341,485,526,893,305,491,394,533,398,631,194,561,936,728,808,025,354,888,
263,814,364,843,970,990,747,429,432,005,475,451,640,074,321,282,541,924,889,
725,661,628,307,910,605,726,045,378,342,158,232,376,483,523,007,383,954,186,
486,516,185,685,264,679,263,358,942,953,963,556,946,002,303,535,843,321,559,
066,207,162,109,027,843,004,464,767,484,781,879,088,182,142,130,992,102,227,
402,598,499,822,971,745,006,960,581,720,358,982,764,004,888,195,319,745,803,
447,935,751,843,508,087,924,122,703,097,239,942,396,929,668,505,143,513,800,
293,099,594,935,654,889,347,876,396,988,513,786,804,944,028,738,985,795,563,
215,531,758,415,872,306,293,802,433,358,856,002,329,636,304,140,241,746,747,
772,473,342,434,712,538,653,155,785,350,923,126,224,884,873,983,080,616,142,
247,259,119,777,268,724,275,351,260,047,145,846,964,799,691,486,353,810,704,
834,682,146,024,638,895,347,907,349,794,255,756,369,662,550,112,707,671,552,
485,247,334,997,036,428,970,630,000,344,900,070,630,671,729,448,609,965,551,
491,740,626,154,359,706,905,278,701,219,800,508,380,258,112,847,230,538,874,
101,863,595,727,644,915,805,462,192,991,037,142,261,695,702,783,980,114,634,
977,646,068,863,517,867,955,978,770,861,502,525,060,914,557,050,751,536,379,
401,725,099,683,202,364,040,283,291,584,354,492,574,452,387,991,128,321,325,
348,832,233,493,048,574,022,892,001,620,881,828,107,595,536,476,845,122,313,
379,331,888,357,838,040,716,601,901,711,039,704,511,446,514,601,021,974,584,
528,461,801,817,726,376,730,509,930,977,116,841,547,358,376,147,325,150,544,
644,036,891,030,842,359,354,061,125,801,854,161,481,368,083,088,551,952,514,
471,466,342,662,429,803,823,977,729,754,536,193,860,655,421,276,193,876,076,
800,100,941,517,973,325,287,468,507,707,790,851,572,036,574,908,246,301,584,
531,213,896,720,971,845,597,565,524,952,063,555,568,894,354,199,672,994,483,
307,745,610,980,060,046,523,360,292,837,304,461,087,421,316,601,253,259,287,
867,666,077,940,911,409,078,169,499,209,688,464,682,952,140,276,171,437,245,
324,224,565,722,635,091,379,419,437,887,367,060,955,987,928,173,279,353,224,
868,246,804,696,848,513,019,677,962,543,956,440,412,689,283,306,611,368,796,
635,215,289,321,489,562,666,651,978,189,798,510,908,291,069,625,417,937,702,
525,944,788,156,448,154,849,706,125,145,315,055,790,332,827,159,872,569,430,
383,385,700,665,730,522,908,216,507,278,144,913,026,240,809,919,433,033,092,
020,540,392,976,142,357,927,511,988,263,166,327,755,976,697,849,245,320,734,
904,163,416,593,443,228,825,239,583,377,458,326,060,959,479,537,994,660,892,
250,972,633,350,126,627,671,871,091,720,404,657,726,549,055,805,140,186,243,
746,035,984,475,413,115,274,812,772,466,837,496,935,515,777,947,535,984,793,
370,355,700,472,877,295,018,727,564,123,605,644,320,287,076,453,033,697,793,
522,743,781,952,532,290,043,274,195,844,031,957,523,151,343,526,790,913,442,
837,002,592,339,120,737,811,494,367,984,136,604,224,974,647,953,668,669,879,
784,424,566,485,582,042,644,461,305,114,732,362,636,328,117,015,143,998,850,
324,116,940,525,875,841,583,778,666,219,316,073,980,424,906,815,779,994,874,
366,449,625,850,707,234,781,241,561,993,783,240,440,102,968,336,726,857,153,
860,741,909,942,501,818,643,092,072,841,756,038,429,590,798,588,203,600,780,
358,232,313,977,003,121,811,954,811,733,900,180,714,243,028,318,422,262,710,
518,513,931,663,706,096,161,916,587,989,354,198,178,286,405,230,747,387,743,
742,260,308,250,407,127,608,908,070,871,275,246,666,433,257,488,273,164,954,
469,560,330,043,257,557,726,282,377,160,461,223,216,436,019,134,834,565,012,
293,309,604,175,075,728,841,919,883,767,543,458,224,022,495,087,363,819,911,
359,726,473,731,343,563,534,466,107,373,950,978,482,340,378,437,938,885,310,
949,830,174,026,827,104,904,224,980,955,393,027,987,694,040,920,111,923,233,
412,238,263,397,427,354,329,274,721,878,309,421,807,067,474,474,555,313,934,
566,563,214,064,002,564,075,426,289,153,771,874,117,554,150,686,794,150,947,
714,611,129,910,562,594,028,850,029,538,367,132,307,273,903,956,495,974,776,
792,033,449,920,475,584,753,521,640,303,750,412,285,630,266,294,088,610,473,
753,964,858,500,754,577,158,639,510,764,242,225,031,455,958,509,517,381,838,
249,381,098,078,953,779,230,401,471,109,312,438,760,167,925,702,827,227,369,
484,286,261,005,223,668,802,165,285,004,095,300,581,507,065,826,377,307,592,
451,175,064,366,373,641,236,169,985,910,077,070,431,798,158,938,517,920,199,
544,132,615,348,242,542,831,541,707,494,830,432,071,708,482,643,870,754,536,
490,161,343,111,001,246,639,312,440,602,635,503,909,989,278,210,104,741,834,
998,685,068,575,258,336,689,697,057,291,080,169,222,049,241,478,941,589,353,
268,551,610,506,767,223,367,746,024,549,501,102,535,219,921,878,344,691,019,
629,738,321,011,625,172,842,562,659,690,984,657,156,033,095,676,150,321,738,
173,926,782,268,641,338,249,883,635,748,755,920,819,669,201,310,115,561,577,
048,311,868,201,369,035,463,669,790,206,805,896,281,843,911,750,502,895,562,
915,885,901,594,365,018,580,913,689,946,164,429,487,424,576,233,678,205,583,
896,551,617,913,331,550,119,756,682,044,435,194,057,968,442,854,772,522,762,
704,513,959,995,235,114,598,318,176,352,353,253,307,902,997,540,944,651,541,
090,399,802,602,983,855,274,167,062,086,338,437,831,050,620,088,163,254,123,
990,125,560,565,930,172,626,686,404,474,495,828,953,117,221,501,099,082,339,
368,861,942,841,926,784,391,341,765,590,877,526,331,081,774,742,434,451,414,
402,507,099,267,543,149,921,174,398,647,429,581,221,308,906,892,785,739,355,
198,904,616,544,135,852,130,221,482,567,312,894,036,431,183,261,029,132,870,
509,122,361,743,313,764,086,195,963,727,062,789,579,078,907,692,813,117,024,
565,470,178,351,119,224,370,192,617,229,702,076,877,088,158,269,220,387,834,
544,702,466,027,791,837,815,061,691,407,442,458,611,049,252,863,740,213,404,
071,111,146,503,989,681,281,224,260,008,546,379,758,275,028,578,832,936,842,
128,461,820,693,103,259,625,515,219,824,806,617,759,862,210,609,749,896,652,
484,655,338,545,662,482,424,273,986,772,947,638,084,779,951,047,359,327,559,
717,642,573,041,400,157,162,433,157,069,278,255,625,867,232,779,803,147,003,
870,517,267,253,925,286,413,406,253,333,305,176,355,612,330,979,700,452,594,
486,293,165,825,350,432,390,490,345,424,913,933,220,089,523,167,635,924,793,
788,055,572,109,823,197,546,879,866,920,478,169,813,180,298,579,985,809,225,
251,491,384,747,148,474,522,002,383,333,225,740,017,625,453,992,341,607,578,
793,790,827,361,932,539,043,348,483,264,778,277,806,827,852,506,248,183,373,
207,053,718,836,274,328,613,539,308,661,351,989,192,212,093,842,327,140,269,
132,383,656,775,816,597,537,502,818,851,937,084,344,593,145,143,595,568,929,
425,854,123,320,271,737,382,926,747,012,227,632,011,131,413,883,712,929,936,
863,048,669,438,286,166,583,094,107,418,359,849,934,402,994,173,358,303,656,
376,443,165,489,286,160,976,389,892,387,540,958,010,738,780,269,476,588,627,
864,514,584,272,309,307,671,358,085,108,246,329,793,472,801,299,460,083,006,
490,291,542,185,851,415,841,706,607,433,802,534,272,994,379,900,917,588,902,
659,522,219,578,736,777,893,020,089,340,513,869,261,381,679,421,848,121,726,
463,466,749,369,124,937,877,638,162,748,113,472,941,055,968,231,196,565,666,
856,218,161,819,060,940,846,760,135,490,516,554,551,421,146,857,948,331,875,
288,405,719,729,738,470,832,489,531,647,591,429,088,830,221,956,318,827,276,
156,049,111,086,776,944,424,345,599,770,518,890,991,977,840,161,880,966,163,
085,263,579,602,659,702,826,789,172,477,229,026,126,927,273,508,129,260,475,
849,491,909,536,069,831,402,306,956,670,492,639,810,131,862,353,624,788,204,
265,626,190,649,421,493,853,030,391,453,657,646,850,618,370,687,265,249,331,
761,658,614,723,753,142,089,454,825,303,396,728,755,984,402,966,235,709,232,
594,682,007,263,916,159,402,384,363,351,517,938,795,897,888,724,713,694,878,
213,073,093,971,722,876,715,722,321,926,400,329,113,702,727,144,503,416,660,
998,140,555,071,057,165,952,224,002,456,893,586,377,602,120,919,568,673,418,
976,687,955,134,808,288,072,819,903,847,250,349,935,563,770,217,768,451,386,
561,714,077,884,873,444,171,629,353,152,440,931,804,789,153,574,951,856,395,
815,095,796,461,874,979,748,299,421,581,151,813,419,189,361,200,744,966,027,
582,134,027,642,686,944,996,036,384,030,769,209,573,696,786,544,685,367,604,
665,990,276,313,217,475,633,036,089,476,027,749,878,454,810,585,974,974,469,
543,584,712,868,389,304,035,031,372,727,919,431,096,132,866,983,926,594,600,
632,863,210,429,856,746,450,896,174,151,666,571,633,176,111,338,604,258,197,
288,739,599,655,296,258,025,248,750,389,617,866,697,655,675,911,368,725,348,
776,083,690,966,294,888,793,080,540,558,169,399,784,174,256,819,122,233,937,
704,962,672,449,341,856,130,120,907,683,675,897,887,256,528,328,830,307,562,
590,232,735,367,783,324,271,879,552,574,317,795,785,784,445,711,097,637,136,
559,020,791,262,446,343,837,680,852,681,205,173,990,981,884,060,618,375,513,
401,541,040,166,375,737,734,148,109,338,876,210,218,942,066,669,441,972,014,
359,295,655,226,725,746,329,511,624,492,751,373,433,419,279,884,138,336,390,
870,318,799,612,269,123,962,294,860,606,034,275,419,893,376,894,105,201,207,
254,149,590,662,134,974,593,753,933,154,173,581,540,084,230,243,157,056,931,
242,974,884,631,345,333,920,572,500,411,133,851,266,700,280,754,470,009,431,
094,071,840,758,047,192,238,270,963,272,478,034,475,227,018,305,853,148,271,
385,305,815,991,423,633,416,443,699,649,997,596,701,444,008,693,820,012,605,
497,023,692,261,478,011,622,520,569,383,641,294,204,537,125,557,476,784,535,
707,430,745,212,159,141,674,674,695,149,138,737,499,506,503,022,113,997,116,
813,070,548,651,737,746,460,069,731,138,734,654,478,410,715,614,350,228,078,
394,569,559,737,316,540,065,572,260,294,301,527,693,022,520,665,245,870,747,
797,885,514,262,925,953,214,598,760,641,119,741,738,887,132,642,669,427,560,
393,950,773,668,572,042,407,612,412,800,259,862,261,922,672,511,873,578,426,
054,840,067,811,883,637,223,612,609,219,966,120,232,738,013,013,385,217,934,
737,063,268,894,949,843,458,071,749,163,492,279,535,655,899,610,896,945,492,
282,267,183,389,010,063,750,948,114,086,727,106,241,555,909,391,909,607,350,
672,174,981,284,212,093,016,541,560,874,853,206,152,054,288,523,298,051,591,
193,640,510,580,594,946,576,804,343,416,864,042,369,622,798,001,002,567,828,
773,354,372,601,189,274,504,938,647,355,870,219,876,054,852,797,928,980,606,
727,505,596,419,465,461,861,536,349,926,657,184,842,367,717,507,060,643,798,
080,998,806,902,448,599,160,116,000,489,459,438,780,933,935,767,413,359,383,
085,531,615,016,752,924,426,895,210,185,660,453,737,100,276,185,189,206,876,
527,105,654,181,124,371,963,109,990,197,722,053,724,301,046,978,325,635,677,
963,472,214,700,899,445,956,532,781,329,163,980,054,770,141,213,916,679,714,
518,125,317,244,998,323,728,555,802,824,897,279,260,165,000,502,320,911,655,
783,764,255,891,507,842,685,599,090,443,019,659,776,966,221,324,092,624,294,
147,523,625,072,028,058,125,053,950,960,073,900,080,210,345,022,896,695,625,
558,884,291,012,636,164,839,436,316,010,133,009,352,716,493,446,215,391,823,
734,218,149,097,952,919,080,735,242,819,076,442,882,021,269,585,743,413,666,
610,421,069,344,748,253,795,021,693,554,762,899,296,569,952,246,387,534,997,
975,850,183,342,042,457,688,996,603,316,691,951,504,567,531,700,561,715,421,
748,345,717,592,287,690,475,289,535,248,706,807,148,285,982,445,883,448,440,
641,394,561,910,769,068,915,746,925,178,369,086,378,950,133,269,665,920,834,
164,198,058,012,951,574,662,933,012,165,598,544,266,769,191,482,781,143,825,
444,901,750,819,414,324,989,040,796,398,696,052,580,855,854,421,495,382,477,
849,178,017,468,380,592,325,454,458,105,544,054,579,240,764,519,763,928,291,
310,652,143,103,046,253,299,450,686,157,793,427,678,798,196,686,447,739,247,
649,095,450,843,011,653,929,097,622,105,024,124,846,660,358,182,668,804,004,
385,815,676,295,066,411,550,535,588,709,698,358,205,956,530,895,230,599,268,
327,446,529,157,321,535,556,920,034,290,285,846,661,879,032,870,412,288,505,
682,587,918,361,946,537,930,447,738,729,070,820,807,132,905,938,756,073,342,
174,973,959,610,370,318,221,309,441,774,460,614,466,487,339,593,364,190,017,
689,097,543,968,193,871,598,974,026,648,122,522,652,956,195,391,110,117,147,
568,513,680,598,340,944,285,816,037,110,439,293,055,753,009,209,682,381,912,
691,126,201,772,315,703,973,425,641,858,321,998,665,856,578,081,781,372,788,
884,711,634,173,457,191,883,188,715,718,579,346,815,865,712,219,775,414,569,
518,607,069,330,735,923,925,763,060,367,028,586,375,864,640,381,043,439,886,
697,454,858,093,017,989,726,607,045,473,402,854,508,086,673,134,038,927,794,
239,135,077,006,142,734,434,254,006,890,264,433,247,991,443,416,884,844,018,
207,522,245,429,719,181,520,144,833,086,296,536,618,714,516,274,160,428,971,
097,454,053,626,915,208,071,607,480,579,892,094,786,553,304,394,024,817,150,
507,954,133,875,308,813,486,226,117,903,233,949,887,606,957,752,026,951,099,
162,574,929,130,795,574,081,415,557,365,251,035,275,646,168,958,819,777,912,
393,058,298,227,057,923,731,027,874,780,521,073,572,929,325,713,789,354,091,
403,956,165,426,797,033,260,035,386,168,000,863,074,721,541,230,592,839,191,
264,774,652,438,057,421,242,971,694,759,553,620,279,907,312,646,299,263,265,
594,748,691,306,615,294,374,323,798,806,708,061,956,579,279,948,349,610,882,
755,908,301,094,131,176,617,966,237,692,213,969,167,194,926,920,337,568,730,
164,059,570,985,328,606,463,500,648,834,069,354,906,892,924,012,211,215,481,
267,281,338,595,315,280,303,854,739,089,570,414,230,046,111,256,767,555,136,
592,606,695,770,594,314,639,945,733,633,615,559,606,701,130,290,599,386,041,
790,254,778,591,544,862,255,272,589,622,166,868,961,406,976,985,618,219,072,
559,947,389,876,268,794,429,762,441,269,896,674,186,031,050,141,295,482,807,
700,513,911,506,209,428,559,008,876,763,850,343,396,864,090,390,589,911,348,
217,188,933,265,781,734,438,358,698,935,920,460,329,943,045,495,949,879,842,
719,714,033,856,878,593,092,133,724,087,225,837,175,763,119,231,475,620,530,
213,069,221,920,320,613,745,048,631,706,082,291,748,164,049,691,385,783,901,
081,894,163,202,416,124,251,330,366,318,663,996,072,911,744,381,927,070,001,
354,145,180,554,735,935,933,082,277,207,229,418,501,099,215,694,145,887,281,
101,842,090,753,528,167,271,809,774,794,061,473,869,856,845,331,828,331,996,
812,777,341,532,682,318,900,022,307,110,433,486,894,522,614,468,707,770,013,
598,793,166,034,905,878,643,660,795,975,072,579,373,656,873,261,181,137,466,
028,548,447,754,950,566,569,080,483,200,782,282,788,845,430,853,103,059,263,
181,993,813,158,063,902,757,097,568,840,114,553,331,696,127,436,000,434,484,
870,224,087,223,744,956,880,495,335,786,464,133,445,196,054,303,114,269,803,
862,989,816,988,327,358,847,102,424,964,403,907,583,713,592,375,036,454,820,
660,927,092,003,976,034,779,368,011,381,062,777,815,657,326,598,476,698,190,
735,706,276,111,778,601,728,347,504,324,171,707,218,666,924,972,828,430,442,
642,200,496,187,179,700,232,385,482,627,816,306,370,321,282,045,269,792,033,
163,986,753,031,503,515,290,296,272,450,436,893,423,031,052,414,517,639,840,
133,350,045,813,059,557,676,546,319,518,063,523,472,512,530,042,771,195,622,
588,308,646,761,053,079,726,526,542,081,952,787,556,232,375,784,380,465,595,
258,307,509,313,653,269,002,916,391,167,363,717,430,345,759,308,308,981,477,
145,074,391,500,248,865,840,735,558,451,854,720,481,353,833,411,569,754,980,
356,374,876,002,883,307,679,015,930,563,424,344,311,353,827,693,367,701,616,
851,079,692,324,733,754,282,938,131,436,621,018,000,900,659,430,480,973,101,
710,740,757,027,587,245,947,198,742,032,426,209,624,234,083,938,879,828,020,
163,553,370,743,208,135,499,676,357,011,690,991,484,824,069,742,530,758,046,
021,573,720,826,749,626,202,765,892,748,953,813,275,066,231,968,739,010,260,
646,397,803,655,332,676,891,513,192,256,436,381,981,273,334,927,982,240,555,
663,640,081,233,101,679,682,806,104,080,282,000,335,769,149,890,145,414,190,
126,545,418,056,039,195,199,700,976,520,297,358,961,146,523,098,496,499,930,
866,034,048,398,646,070,517,805,308,183,774,086,781,935,681,433,486,231,909,
790,358,311,798,930,391,307,713,251,901,695,857,387,678,236,529,512,223,304,
840,569,607,437,110,994,703,885,011,065,015,812,918,090,762,651,195,203,331,
585,893,590,802,947,803,145,307,657,705,620,873,855,169,987,554,184,796,426,
263,697,311,427,084,426,587,805,607,447,512,665,327,690,187,378,464,227,367,
427,266,283,982,984,528,942,422,240,482,440,095,643,267,933,628,167,285,646,
747,632,727,066,231,409,471,036,140,320,732,346,741,224,716,581,610,082,502,
940,692,378,141,315,760,468,567,931,953,011,160,703,134,385,654,856,971,956,
589,674,346,540,155,192,630,992,786,130,774,165,435,956,794,306,426,440,472,
771,933,621,371,289,751,280,858,614,604,553,817,340,166,989,507,403,184,178,
677,574,554,398,982,403,863,166,588,492,839,223,471,195,358,018,302,421,099,
549,550,723,215,057,439,470,121,686,629,303,459,242,757,605,456,530,236,597,
930,224,290,160,677,727,785,253,069,317,147,100,223,226,346,078,095,391,193,
904,085,741,375,998,602,684,842,209,586,705,391,333,064,492,645,627,702,831,
066,439,084,064,982,266,771,201,714,166,850,249,435,310,956,120,619,842,040,
227,908,778,222,053,616,117,444,502,786,277,900,798,264,864,515,876,718,595,
733,359,360,539,294,474,402,359,726,152,564,434,559,273,403,664,236,887,279,
897,411,289,120,940,113,541,346,216,164,035,362,101,422,312,383,613,752,568,
954,488,270,981,574,536,998,278,982,459,243,930,452,659,364,878,992,149,940,
886,077,774,531,461,848,768,288,062,073,143,869,460,625,848,204,112,918,662,
359,827,226,324,840,107,257,122,022,302,787,683,662,812,129,283,389,448,128,
973,179,756,580,788,341,696,247,652,547,407,383,535,059,922,453,609,863,635,
742,077,401,021,266,596,196,653,592,967,682,153,919,301,924,942,476,503,621,
006,806,193,506,066,424,845,042,675,303,426,394,437,637,974,996,805,229,934,
939,738,162,646,149,487,284,530,658,434,989,336,852,160,949,814,443,537,118,
478,486,087,405,932,220,225,010,650,047,288,232,008,880,807,977,516,822,127,
891,756,448,302,345,490,196,767,172,659,757,477,998,093,643,597,553,096,636,
404,318,040,813,693,301,269,196,193,309,498,105,312,449,939,791,149,828,217,
738,067,875,001,888,203,874,930,964,934,045,122,013,091,807,623,377,453,646,
219,370,032,105,552,902,556,645,331,016,078,684,927,546,633,102,577,316,999,
734,352,697,754,033,308,934,199,903,146,343,867,267,210,201,447,163,436,639,
454,194,275,175,612,229,494,384,179,424,613,075,653,713,897,625,411,129,662,
107,858,544,183,693,723,158,877,185,284,633,036,339,561,959,176,251,073,676,
322,955,059,144,310,246,724,306,903,943,792,673,258,622,024,013,995,012,486,
752,950,097,817,436,113,367,720,907,041,434,715,160,316,872,619,367,975,749,
084,535,819,774,617,069,314,313,252,103,786,957,773,149,818,923,769,014,336,
467,936,013,489,316,098,664,855,599,380,091,753,842,819,881,998,179,497,176,
841,656,588,125,187,737,422,455,157,840,106,017,053,463,785,892,147,312,397,
145,992,066,065,409,075,866,691,233,191,175,805,333,640,081,865,106,910,426,
521,375,971,770,845,046,396,558,466,568,480,138,234,657,097,538,541,603,063,
145,428,338,979,640,235,337,505,707,716,599,430,487,341,664,667,844,603,177,
318,579,796,455,386,857,796,067,364,250,367,797,511,156,089,616,263,691,229,
520,218,567,541,590,695,738,092,177,791,201,236,268,585,206,697,288,358,143,
399,542,604,102,350,549,153,791,732,448,012,646,783,310,755,418,485,523,661,
830,880,094,254,803,473,774,135,399,313,370,719,902,491,687,753,141,833,397,
349,124,562,788,609,283,998,957,682,098,216,341,322,926,063,839,361,133,371,
209,882,660,748,706,080,319,476,073,845,944,737,346,025,713,482,646,648,912,
183,897,539,851,084,358,165,253,725,700,073,204,716,309,128,262,591,456,655,
020,114,834,157,847,443,445,029,036,037,735,722,991,057,917,605,805,009,196,
411,086,449,764,238,419,173,316,969,612,718,038,290,797,005,737,255,009,370,
747,291,592,290,756,620,181,549,667,292,480,288,184,603,906,399,366,876,662,
896,680,598,563,283,468,943,901,575,897,295,449,886,375,986,643,918,814,868,
007,198,283,155,221,429,548,050,875,739,852,011,708,584,677,945,144,282,358,
310,463,705,019,932,399,521,285,480,162,184,992,421,734,223,662,049,911,203,
934,467,654,127,767,629,514,208,738,145,414,049,006,770,030,685,283,978,354,
393,986,779,108,778,684,347,728,346,760,609,914,450,893,724,733,723,564,744,
303,237,941,611,237,568,912,784,312,195,747,497,483,580,788,202,417,391,617,
692,286,548,696,337,417,574,782,441,383,593,233,556,032,431,142,287,803,888,
962,242,738,040,631,874,729,325,620,709,153,172,899,012,454,171,471,546,982,
090,645,212,129,828,794,444,534,691,157,318,499,773,623,916,933,248,635,769,
300,366,114,521,376,400,102,949,019,731,388,804,078,247,652,392,620,540,707,
114,252,671,727,558,554,459,128,688,616,534,015,292,012,855,977,761,904,193,
848,010,451,140,218,369,508,029,333,778,351,352,932,404,277,858,541,180,677,
580,178,516,716,894,184,064,207,493,864,271,294,647,035,955,032,563,933,374,
154,173,900,985,687,054,562,601,661,876,361,695,740,015,234,305,724,211,435,
024,340,871,815,999,620,564,467,961,691,091,773,915,934,255,204,088,454,425,
923,545,474,394,384,884,050,483,534,651,168,176,003,503,704,291,887,268,584,
208,471,751,935,241,487,703,415,964,923,036,030,883,459,161,003,873,858,004,
792,848,264,871,419,389,643,665,632,934,734,681,571,819,409,946,053,792,188,
019,869,367,189,475,152,082,896,451,381,912,953,843,231,612,987,134,597,301,
930,770,977,143,817,476,253,058,547,449,791,876,280,985,654,122,908,362,862,
334,576,019,268,829,711,711,450,237,585,445,598,565,414,984,784,084,104,361,
533,872,838,179,291,689,659,748,727,936,170,982,106,242,041,786,970,966,037,
462,918,142,617,084,025,235,793,386,276,675,440,435,507,546,230,694,880,460,
663,472,532,316,463,970,967,832,737,841,211,491,488,844,099,346,601,121,292,
053,243,615,099,239,813,871,453,799,180,030,764,911,253,976,638,144,280,417,
986,051,349,665,410,054,287,763,535,054,296,374,035,614,368,886,558,930,037,
080,908,151,585,874,948,664,118,567,441,364,622,064,266,541,936,702,869,288,
758,597,359,878,106,059,243,178,290,007,714,345,236,122,812,434,998,959,104,
777,863,081,717,240,832,524,788,634,198,542,801,472,088,979,033,393,361,867,
507,555,695,265,289,766,500,247,815,117,895,962,462,635,766,417,057,227,819,
556,491,716,643,520,075,741,349,324,879,641,531,259,999,739,849,270,394,534,
545,353,167,824,422,812,193,439,734,018,283,757,027,681,161,344,121,068,002,
522,778,513,073,184,979,891,114,405,840,494,476,298,763,716,181,646,767,880,
783,195,787,775,024,128,434,014,797,304,387,702,520,926,488,239,254,618,586,
482,619,573,532,013,270,665,548,972,391,902,580,187,428,817,483,954,341,945,
749,449,772,452,211,293,724,660,478,489,985,520,870,968,543,468,325,700,997,
869,097,012,937,383,799,908,474,629,805,476,484,807,324,523,170,747,517,563,
984,953,260,829,636,234,928,990,978,762,196,259,248,769,147,771,812,503,858,
105,770,669,990,572,995,786,748,863,960,987,107,687,773,143,436,875,229,153,
625,939,768,625,657,216,835,662,815,720,744,393,183,814,822,679,333,710,166,
685,649,328,226,818,232,209,763,822,311,481,267,469,919,879,085,930,621,262,
090,033,556,579,648,338,263,426,063,932,070,895,551,057,940,729,417,361,511,
893,709,129,151,552,195,973,569,635,205,684,598,398,520,270,555,195,137,747,
763,838,704,167,970,683,905,246,534,585,772,853,714,434,839,093,176,255,602,
891,987,322,874,862,320,041,529,015,518,372,940,253,439,482,338,335,912,407,
826,929,427,118,231,679,990,244,319,404,386,301,503,777,204,750,859,676,543,
792,717,678,198,456,527,172,658,501,469,947,970,112,588,395,560,060,736,452,
474,672,140,572,903,127,809,565,111,220,545,453,184,599,410,806,250,665,889,
261,072,337,753,407,377,673,386,324,057,966,254,302,098,930,277,128,657,136,
727,991,848,527,499,126,409,995,418,595,750,187,616,587,213,299,342,593,848,
672,626,129,804,481,702,116,454,459,634,729,956,235,535,316,112,344,785,358,
744,574,275,150,445,907,287,321,639,644,243,367,129,958,835,497,064,975,192,
354,985,241,311,118,903,248,037,844,333,390,476,180,101,060,332,684,343,981,
588,922,587,215,864,994,277,502,923,468,582,742,979,982,379,662,483,855,424,
339,070,406,543,193,051,954,150,549,692,469,658,727,946,103,185,346,455,212,
236,076,767,767,685,346,752,497,405,874,878,368,995,272,281,246,743,963,379,
645,181,148,829,789,542,187,052,451,245,258,324,081,726,662,071,371,737,669,
280,288,216,182,940,307,357,472,654,480,029,364,671,901,404,057,004,069,697,
265,150,664,276,776,124,810,759,951,676,512,483,872,531,442,509,316,709,086,
373,637,546,965,218,872,882,198,132,456,442,983,854,039,543,203,494,178,336,
611,151,657,046,449,666,540,330,626,899,252,221,284,664,693,400,813,680,968,
466,007,173,597,153,125,160,799,660,642,358,738,492,532,907,149,229,540,163,
988,540,060,643,881,590,232,781,872,967,048,438,597,434,894,130,832,070,530,
002,965,737,618,573,301,677,607,466,242,807,684,296,560,846,975,739,733,378,
071,402,374,385,140,547,560,178,003,465,944,137,344,605,593,376,181,046,383,
255,563,438,045,150,454,984,348,023,962,456,402,061,944,573,966,862,943,404,
811,043,087,436,021,643,705,983,871,110,613,191,222,844,554,515,781,687,053,
586,366,237,869,543,977,299,156,219,647,397,600,266,122,972,250,697,128,379,
339,856,260,267,618,077,482,856,433,011,231,022,145,352,763,587,199,774,379,
833,843,451,463,881,624,866,158,792,263,961,683,983,549,943,260,577,526,946,
325,127,475,945,560,377,720,154,251,570,012,245,779,425,968,404,686,762,317,
012,207,093,404,157,602,556,374,527,807,502,274,607,475,478,967,992,225,414,
436,493,925,767,197,016,181,552,050,601,059,217,709,834,739,174,794,778,559,
226,471,413,186,008,155,623,062,008,762,006,199,119,427,560,652,117,327,500,
056,793,203,200,170,707,854,004,273,877,142,772,616,260,373,923,799,670,864,
829,870,339,893,015,051,370,539,815,600,748,065,105,837,263,331,395,684,203,
968,940,751,770,425,226,125,870,942,436,848,772,933,290,753,466,834,053,793,
252,324,722,922,205,065,317,799,036,359,287,542,402,948,448,675,554,692,853,
483,197,352,665,149,975,941,813,134,207,321,032,958,552,133,549,812,731,306,
668,738,799,024,237,710,212,412,730,963,532,863,127,212,542,628,112,850,023,
727,703,013,489,294,597,263,979,622,931,850,651,163,596,047,732,096,748,888,
579,516,445,709,754,292,319,657,787,536,668,278,272,637,334,413,826,752,064,
122,612,681,758,915,612,604,990,457,785,000,810,935,745,855,793,966,296,834,
190,748,306,439,958,401,705,438,062,503,288,165,043,675,161,336,985,651,797,
605,103,058,072,981,422,444,061,368,672,470,336,863,118,428,103,053,011,703,
128,994,242,344,032,752,667,061,958,444,364,199,679,716,012,570,124,406,905,
281,063,697,547,690,044,772,047,307,867,617,582,309,856,010,428,933,577,291,
448,398,554,911,037,314,713,841,015,813,276,351,513,617,932,420,368,808,061,
192,773,548,807,058,660,682,036,588,698,840,894,369,387,614,091,671,405,390,
937,893,971,350,092,238,657,852,704,019,508,730,774,138,262,777,916,926,471,
002,863,457,163,922,909,405,682,358,201,671,841,050,571,209,883,883,423,119,
119,841,238,886,566,583,065,620,764,486,787,036,619,295,582,809,463,028,720,
397,953,965,791,102,682,637,615,715,765,822,263,155,684,800,347,471,125,080,
289,988,453,560,449,805,869,955,362,269,961,074,834,520,173,291,568,419,250,
076,597,738,159,533,363,169,446,466,557,785,271,585,853,920,967,784,300,586,
401,332,097,553,035,770,125,078,665,136,723,774,519,767,709,719,030,847,229,
931,058,967,915,252,997,007,786,219,889,902,397,306,275,784,133,595,011,676,
004,785,965,785,237,388,290,751,209,219,995,161,907,371,198,878,122,895,315,
181,594,341,972,268,378,781,934,853,533,252,765,495,989,762,810,401,113,422,
490,703,078,470,133,843,465,233,750,235,931,521,388,568,246,025,467,651,002,
032,743,061,487,236,089,739,305,730,245,373,847,108,144,059,131,478,192,027,
348,109,078,823,623,507,014,882,340,775,011,787,717,937,907,067,554,777,007,
847,285,473,222,905,646,040,144,891,950,972,625,343,434,335,375,190,226,147,
124,121,033,822,220,487,535,792,008,086,615,338,125,363,957,565,703,767,407,
260,709,803,761,245,817,913,547,477,446,326,087,124,422,088,316,621,442,854,
858,192,526,582,588,351,606,341,902,353,474,551,747,628,240,696,766,538,153,
922,421,518,774,316,005,996,461,497,369,405,348,349,737,577,623,814,632,891,
243,998,927,029,550,956,750,141,276,117,485,607,880,662,803,503,596,726,557,
683,078,296,872,654,902,288,614,349,779,642,994,462,944,956,718,231,383,972,
291,369,230,355,444,376,365,794,097,308,753,572,524,981,670,316,996,712,642,
126,381,550,833,336,977,919,578,725,777,776,090,696,504,513,498,886,085,025,
157,483,372,833,936,088,003,578,960,905,437,862,836,365,780,664,037,770,606,
162,575,354,594,127,598,625,865,557,933,489,999,239,508,112,964,728,983,158,
288,824,061,415,309,859,004,510,787,630,494,289,289,448,526,252,804,563,362,
017,582,870,371,609,727,201,520,537,992,316,669,921,696,057,377,489,934,476,
622,504,182,208,611,708,231,699,310,225,843,481,299,071,751,810,222,622,479,
664,829,110,373,534,012,055,051,471,003,810,229,084,783,513,907,380,163,980,
909,704,460,004,164,936,725,847,038,212,608,997,471,282,291,142,883,122,417,
856,730,796,121,714,637,468,143,212,266,067,097,778,457,649,490,906,803,804,
783,541,682,781,487,547,984,141,656,382,746,752,789,020,328,447,833,457,350,
161,679,178,837,626,658,403,191,507,094,513,342,905,293,278,545,884,384,366,
481,743,795,602,519,028,982,771,168,145,083,133,152,158,691,326,564,549,380,
555,414,230,358,001,849,762,641,157,194,018,955,707,436,543,015,028,386,071,
410,976,742,159,005,213,498,211,912,779,980,618,269,359,928,728,175,689,731,
295,306,142,718,235,632,539,908,876,737,503,346,766,853,587,854,992,026,701,
246,461,543,359,915,436,024,825,025,247,261,022,713,054,336,591,731,936,146,
748,607,955,102,826,405,648,050,308,975,582,205,930,563,845,718,406,702,674,
031,723,586,837,623,756,263,909,276,292,541,805,502,495,107,735,574,912,310,
043,867,906,176,256,339,134,694,211,539,510,469,152,575,695,488,783,288,343,
531,570,240,474,740,213,076,944,350,642,879,668,269,340,123,760,929,702,735,
755,908,221,859,458,211,256,190,664,313,518,605,199,797,952,394,717,584,567,
679,780,288,796,171,534,106,274,916,274,560,290,717,063,335,632,818,111,296,
893,296,688,280,487,499,329,114,222,584,617,035,682,464,074,388,416,487,246,
312,395,870,327,425,724,841,541,571,574,931,498,040,049,848,578,147,213,345,
194,635,444,007,175,713,601,083,529,895,846,323,354,234,968,260,022,352,240,
346,167,596,601,629,499,284,427,381,252,578,140,952,530,123,788,381,969,183,
481,813,066,022,697,239,315,839,918,766,778,130,789,176,214,700,807,260,542,
028,977,462,381,782,223,175,490,526,063,632,240,580,574,262,649,824,017,037,
558,190,316,251,744,320,175,811,338,328,905,826,542,815,912,365,331,160,699,
884,105,819,055,546,048,419,321,178,353,458,111,081,854,679,287,429,067,391,
928,510,215,777,487,089,111,071,760,335,997,939,708,736,302,602,478,727,750,
226,605,910,683,144,367,207,554,500,912,103,526,394,913,259,095,669,379,958,
506,410,327,890,903,277,654,218,309,374,111,424,300,980,957,890,780,241,822,
626,530,627,220,752,570,600,446,062,762,023,852,535,331,060,256,820,202,216,
459,332,909,375,396,957,930,654,408,853,054,705,113,425,446,379,249,085,506,
528,346,893,404,482,953,130,526,219,425,400,861,980,008,213,950,694,545,727,
725,758,063,858,707,972,502,271,072,615,883,409,083,696,828,710,391,708,161,
333,906,351,611,243,316,432,523,210,543,901,980,994,496,213,103,763,861,566,
226,999,816,276,341,365,569,191,748,564,808,414,918,489,894,519,678,013,823,
608,854,436,529,999,843,225,266,832,592,802,894,321,797,634,785,178,153,916,
836,795,787,423,782,718,272,178,777,326,178,405,040,123,842,760,412,457,774,
182,578,197,455,957,741,502,192,870,316,938,379,906,840,068,980,537,282,300,
628,934,304,242,285,418,721,577,587,357,735,356,349,047,636,859,921,728,546,
961,206,595,332,300,924,160,441,843,890,622,824,966,419,305,720,577,766,918,
319,530,461,652,856,427,775,576,260,466,905,240,585,178,007,917,322,006,031,
996,524,162,066,880,933,425,393,233,244,516,926,566,960,904,960,168,958,969,
646,782,957,467,936,147,219,544,206,490,044,440,956,730,248,846,574,699,327,
743,418,270,799,846,991,195,143,190,254,617,019,497,112,797,665,792,052,735,
924,421,040,247,585,401,086,694,280,003,317,183,334,900,103,457,154,690,268,
697,799,085,326,208,181,359,348,027,945,107,652,226,972,505,881,444,625,213,
566,947,585,573,641,253,598,649,454,008,267,065,915,299,465,764,427,811,230,
933,265,882,668,017,007,497,431,326,245,297,455,146,087,242,022,082,284,433,
788,178,918,408,391,342,551,015,520,002,394,118,605,320,207,557,793,295,096,
616,870,983,373,264,229,740,179,304,731,512,448,928,133,013,703,993,544,676,
724,509,135,009,010,166,970,696,531,948,015,992,629,243,316,916,852,496,408,
647,536,355,442,292,212,228,369,478,240,302,047,797,345,311,499,300,571,692,
831,894,997,660,104,870,599,336,489,998,937,301,040,699,392,974,660,487,101,
799,656,707,755,022,024,058,375,811,506,925,183,811,946,817,433,024,325,316,
241,860,310,308,151,848,905,728,680,326,545,185,531,399,076,417,065,273,050,
094,784,153,090,033,443,716,957,151,784,817,151,250,823,753,175,555,729,901,
965,228,074,579,566,138,743,810,963,572,198,373,099,761,832,502,493,045,574,
451,020,192,156,674,870,591,375,454,415,182,465,137,587,528,387,218,678,017,
210,054,144,596,890,916,103,334,323,047,189,098,918,890,628,479,928,135,615,
484,405,298,644,301,082,686,305,314,045,719,925,419,279,345,865,817,030,291,
433,465,276,744,986,970,288,140,275,787,848,945,237,425,085,114,399,344,560,
852,884,787,195,867,963,898,162,599,942,659,511,576,021,327,994,597,448,278,
981,242,854,137,941,630,905,167,804,433,080,267,899,025,051,532,480,209,842,
133,933,730,846,122,837,612,499,854,647,728,403,884,156,919,438,367,485,134,
059,817,170,294,496,442,484,625,266,018,517,235,111,122,169,126,377,699,792,
805,230,294,050,238,452,966,688,927,728,690,743,682,954,616,653,197,628,115,
266,675,527,650,662,024,385,195,412,839,383,123,696,777,355,318,196,283,527,
925,890,856,391,151,184,469,489,658,967,865,910,700,026,559,302,458,631,106,
232,725,162,324,129,346,544,158,539,971,083,640,872,551,767,194,562,445,970,
480,640,155,569,006,189,581,469,511,014,188,495,736,233,556,954,631,647,741,
437,704,796,769,244,673,127,133,897,786,971,185,030,331,809,678,010,176,453,
841,573,775,992,807,258,988,667,242,840,605,229,314,673,261,662,747,078,530,
573,634,781,619,034,342,768,413,404,101,517,888,757,421,262,197,033,787,021,
834,330,726,456,365,685,967,774,026,968,053,882,125,933,851,381,037,419,764,
399,934,071,959,275,492,086,773,726,571,598,767,776,593,743,033,473,738,693,
469,888,730,779,279,367,796,669,699,785,983,729,671,312,958,425,205,264,017,
942,935,400,805,947,506,063,667,561,585,107,036,672,082,948,557,611,942,045,
528,181,211,524,635,994,060,584,266,973,306,035,091,072,855,192,668,043,516,
799,849,331,883,570,506,582,118,463,380,234,193,661,807,797,979,863,209,104,
358,094,619,792,404,571,077,468,985,848,285,063,164,333,262,727,305,880,538,
063,806,188,433,264,584,364,196,625,521,098,671,518,803,130,168,977,064,909,
996,654,203,171,428,397,468,347,335,971,431,899,815,916,085,146,814,478,660,
115,282,840,392,091,332,178,234,583,156,276,648,073,797,165,455,210,038,398,
938,048,595,568,825,674,719,355,429,400,443,527,086,721,834,827,990,181,189,
638,316,279,257,363,722,091,859,931,912,354,248,778,172,309,703,904,226,643,
782,613,053,181,538,365,271,537,324,193,900,528,209,230,592,059,224,033,578,
665,063,168,822,212,259,729,867,419,875,246,433,792,844,871,324,542,126,802,
378,982,173,137,119,868,737,296,524,667,323,120,342,014,836,107,940,653,276,
428,077,515,938,575,939,912,042,113,147,285,710,613,954,844,778,320,403,433,
261,778,595,970,996,184,059,513,448,975,023,359,024,868,101,307,501,564,201,
026,925,013,551,917,457,334,202,505,679,800,735,262,256,667,715,864,602,008,
866,990,759,419,658,174,519,764,390,042,614,959,989,152,359,791,952,791,823,
055,318,027,897,204,323,071,516,886,350,338,176,940,120,349,208,505,068,895,
435,329,130,923,378,473,560,509,019,222,012,956,153,751,563,388,511,146,636,
555,335,439,269,152,233,055,529,444,024,987,263,213,951,748,471,871,918,823,
969,985,111,341,785,128,630,916,854,837,288,649,889,784,029,280,193,947,783,
141,627,183,259,047,777,573,678,845,581,901,951,676,599,289,260,194,288,735,
475,148,935,283,604,449,759,527,124,773,608,326,667,549,542,571,087,414,684,
143,158,024,701,571,123,798,735,810,964,412,422,122,461,309,372,702,423,074,
192,372,255,457,215,834,556,070,711,299,361,287,513,283,023,934,475,191,661,
351,809,340,403,504,979,052,250,121,838,025,526,345,789,269,240,045,457,870,
998,269,196,732,616,855,355,918,391,526,276,483,921,891,692,392,132,915,288,
398,687,741,341,276,614,352,859,237,905,698,576,903,090,714,309,902,859,922,
866,305,149,169,634,676,302,779,205,668,046,229,447,096,704,621,619,735,290,
761,616,528,885,922,403,924,421,333,944,563,836,006,154,473,512,692,949,124,
746,787,319,691,362,733,427,215,090,838,549,523,715,059,709,165,017,766,198,
453,168,860,949,054,498,036,254,806,557,556,165,061,206,069,200,253,701,119,
850,030,155,300,018,714,075,425,044,894,131,357,497,522,195,430,924,087,409,
702,155,935,783,913,431,894,060,725,332,327,777,571,283,552,719,961,044,114,
542,188,468,857,468,666,893,262,929,529,533,675,674,876,227,344,165,279,473,
850,975,769,885,751,097,829,403,956,114,554,389,129,670,837,315,157,850,760,
135,232,264,129,381,296,300,429,835,151,651,013,189,366,399,556,216,784,013,
849,368,708,327,036,117,541,236,741,584,789,592,618,285,062,762,593,997,929,
449,258,803,068,532,020,258,288,379,453,016,137,445,629,146,082,043,834,783,
546,157,516,345,482,338,970,084,889,489,392,770,442,424,479,334,505,178,990,
588,040,533,434,305,962,519,807,440,632,670,681,715,168,376,867,098,331,861,
316,476,668,843,829,702,377,516,566,365,402,387,141,133,215,729,380,146,449,
387,034,667,171,339,832,913,644,878,031,843,341,739,944,577,125,056,348,727,
416,380,375,194,426,915,186,223,193,247,589,097,212,992,774,263,801,154,512,
594,812,279,460,586,602,964,042,911,223,928,796,835,516,578,826,346,588,630,
366,532,515,819,925,422,807,730,185,735,928,991,183,650,090,695,504,761,222,
257,822,537,361,277,182,076,573,424,371,533,639,035,542,659,945,030,828,101,
896,754,732,474,015,368,229,293,164,192,281,923,720,920,293,943,293,694,716,
255,776,696,795,559,946,121,823,071,946,468,246,645,697,823,610,373,490,528,
880,572,180,676,159,238,914,074,449,657,392,449,953,030,741,231,237,087,183,
855,120,367,651,015,007,732,321,233,760,686,970,010,185,201,003,988,213,768,
877,775,568,007,704,906,016,022,932,646,495,248,356,861,595,550,254,737,586,
465,889,172,819,148,037,638,198,900,366,188,632,290,062,811,499,213,603,970,
479,624,368,619,603,170,785,529,824,454,658,331,852,674,883,409,585,822,888,
401,790,366,686,024,027,935,305,830,116,147,230,129,449,675,249,559,969,223,
959,356,441,159,574,623,630,739,862,487,329,966,135,717,863,734,372,239,058,
992,626,366,302,916,678,862,195,416,681,216,663,030,731,074,703,686,574,664,
138,719,229,403,611,527,162,477,669,576,418,089,265,247,342,833,340,126,880,
143,206,393,253,144,497,903,269,084,397,153,362,657,011,273,787,284,154,047,
264,532,013,135,732,999,758,962,931,790,347,235,828,104,402,951,815,165,418,
703,902,469,577,613,159,018,922,246,123,581,565,476,524,309,885,195,671,877,
392,318,969,189,993,533,961,258,652,076,587,652,628,154,050,739,754,091,043,
409,405,210,129,120,736,835,499,125,635,932,407,038,740,492,227,634,757,297,
154,170,377,745,790,875,682,373,634,372,954,229,486,965,715,978,346,107,955,
984,473,945,171,190,079,882,465,440,494,903,151,916,851,105,777,628,100,079,
745,320,112,732,274,458,344,572,925,249,103,499,732,160,509,365,314,341,921,
218,245,592,772,341,927,182,645,280,726,443,670,335,327,637,303,834,765,920,
094,113,342,100,936,608,341,631,427,335,218,292,124,060,946,059,991,517,343,
932,923,505,274,332,611,560,704,320,261,298,342,971,025,552,680,212,952,863,
908,832,988,449,608,100,915,996,322,145,588,143,778,284,140,909,318,654,894,
598,583,244,807,882,959,940,628,561,218,241,190,819,089,312,322,809,577,948,
658,781,271,377,645,279,345,098,791,662,504,841,734,985,914,041,902,698,308,
512,134,134,231,171,884,692,624,699,849,870,595,766,745,401,405,249,981,195,
478,025,504,921,528,038,489,243,764,219,955,224,810,242,655,642,958,186,423,
258,929,583,477,466,316,839,640,949,711,206,679,906,872,914,326,041,324,030,
464,256,673,992,585,945,214,208,082,770,454,980,486,144,964,335,657,626,609,
446,929,417,340,347,253,079,887,224,831,674,854,165,485,183,459,263,249,089,
759,684,621,744,579,901,328,540,495,001,575,621,713,838,351,802,258,112,698,
856,448,954,812,360,938,523,130,077,451,031,622,294,691,772,371,104,916,863,
100,256,298,440,005,461,124,317,647,781,359,856,522,017,494,590,206,494,031,
330,386,291,034,446,114,177,820,619,498,799,608,095,413,115,974,301,234,066,
275,767,392,442,029,473,620,684,630,488,669,150,935,004,710,619,164,852,519,
073,361,838,479,971,102,729,542,816,798,928,498,928,084,997,644,372,431,102,
634,164,191,445,049,840,999,589,385,258,958,330,584,361,312,185,394,248,527,
150,573,575,468,369,895,608,190,833,503,479,970,764,965,535,688,933,232,982,
395,790,840,486,049,949,068,257,326,619,224,111,639,858,545,502,898,570,906,
768,889,080,602,393,704,352,258,109,734,259,791,191,593,023,237,346,004,591,
103,879,300,689,690,956,219,726,417,719,829,464,431,861,524,266,042,395,768,
515,458,599,744,701,121,880,591,715,612,843,056,539,716,960,196,602,013,899,
341,854,954,526,392,088,518,867,768,578,804,250,080,017,815,321,884,354,873,
598,295,756,797,528,201,338,229,741,417,846,253,767,898,369,758,123,659,465,
276,794,121,546,162,124,867,982,556,329,123,448,441,982,940,519,724,735,411,
265,455,601,875,438,868,981,035,959,135,921,054,863,754,960,779,016,019,817,
256,416,108,593,028,533,713,719,264,366,218,540,988,450,297,938,069,621,451,
787,003,849,952,622,824,060,850,615,997,989,101,926,319,062,511,783,063,086,
253,610,584,381,338,354,695,010,213,002,552,249,517,024,031,717,586,644,125,
769,727,165,959,840,047,902,041,476,531,612,622,724,211,975,125,818,595,223,
833,666,117,130,773,746,949,203,105,607,300,053,752,707,075,442,593,328,368,
116,657,614,771,893,958,897,961,795,767,816,437,938,052,868,738,733,129,680,
573,725,386,368,323,348,052,803,809,975,133,510,701,933,350,777,538,781,993,
866,010,642,521,824,439,393,002,483,971,078,831,894,768,976,670,143,428,520,
250,464,251,163,102,789,831,966,829,111,379,652,519,785,304,358,082,842,294,
068,217,851,678,290,064,692,070,459,161,200,099,310,417,385,344,711,624,905,
172,999,703,582,750,382,432,947,262,335,543,733,877,082,651,794,823,444,169,
970,988,016,889,241,824,789,463,475,587,912,668,461,842,330,375,194,795,290,
615,520,381,287,795,320,367,317,086,576,034,340,482,847,955,769,353,167,688,
191,373,459,231,310,742,087,013,974,093,387,448,796,206,428,672,850,926,266,
289,818,562,834,408,237,311,873,890,743,633,780,089,643,877,494,993,585,311,
282,334,543,294,610,934,958,598,938,096,216,291,516,944,836,564,616,702,515,
109,521,712,088,166,028,392,655,388,430,313,744,104,264,715,025,329,002,658,
632,124,050,958,284,777,684,438,913,181,917,645,384,397,977,802,756,049,662,
965,438,272,369,332,407,735,308,596,653,854,168,532,016,009,957,422,610,915,
650,415,485,604,625,122,666,301,048,709,650,489,960,803,761,564,885,831,822,
149,770,920,012,468,099,002,745,481,327,272,375,104,562,458,287,486,751,874,
309,698,078,125,586,597,887,285,573,349,232,046,025,866,549,634,453,508,329,
243,131,488,281,686,482,436,624,279,704,876,568,722,113,785,868,553,041,955,
388,916,754,020,348,553,747,547,715,518,471,280,969,779,232,427,620,432,504,
846,237,436,080,774,447,018,347,716,607,509,582,168,817,567,926,585,730,014,
469,037,773,361,717,919,659,446,404,052,046,005,693,497,879,109,374,042,945,
363,591,575,689,963,655,455,854,881,100,383,971,495,477,251,161,771,196,638,
872,348,890,582,128,196,378,135,807,787,982,195,349,223,364,359,180,486,064,
405,639,827,606,931,125,972,219,269,026,237,896,166,258,176,994,168,532,186,
384,966,243,302,867,857,856,894,450,268,003,182,693,322,473,198,118,162,583,
562,902,753,475,041,122,186,403,487,545,572,762,033,639,335,088,630,305,020,
439,692,555,857,567,888,950,131,424,739,761,180,105,254,293,472,249,068,271,
128,195,499,363,849,419,558,822,323,788,052,334,851,040,310,083,327,704,320,
576,474,202,023,370,736,078,082,815,467,035,145,200,045,934,802,483,521,937,
641,402,750,688,082,533,938,502,331,152,707,516,029,552,877,475,236,457,256,
309,176,266,235,061,781,685,928,503,842,171,193,082,694,053,128,579,285,887,
660,707,040,507,238,872,618,176,231,195,953,685,692,483,532,183,464,525,789,
727,149,120,026,221,491,055,330,922,151,182,866,118,817,315,205,219,027,775,
670,922,861,246,266,109,092,556,554,514,566,787,068,645,159,731,404,620,240,
673,991,751,957,158,529,139,887,805,041,914,618,331,941,368,856,369,031,890,
129,218,073,482,594,462,126,188,096,173,280,599,892,159,291,862,701,068,814,
695,172,204,917,655,340,983,582,104,076,486,789,693,572,244,280,589,950,615,
357,130,977,504,082,312,890,116,162,697,385,196,125,477,138,296,845,874,924,
805,465,126,620,945,811,792,243,561,774,095,501,476,130,088,230,458,240,985,
844,545,111,142,202,842,148,769,592,674,976,994,294,462,741,166,153,815,252,
884,767,254,292,720,024,083,058,389,795,599,179,507,772,325,339,905,796,500,
574,975,566,825,686,407,836,154,482,066,220,367,732,257,655,238,179,241,401,
203,605,799,501,999,474,658,740,854,682,350,238,781,645,186,831,263,881,194,
429,937,763,180,930,128,701,928,193,102,361,937,629,042,663,865,934,282,389,
660,312,922,264,983,331,442,274,262,786,180,996,603,697,434,262,879,709,321,
373,474,715,842,250,686,928,368,611,180,812,831,274,296,988,214,335,995,051,
568,672,414,541,704,887,952,892,111,283,589,428,122,124,348,287,014,577,034,
701,767,403,313,413,127,536,490,206,939,864,463,263,381,653,450,798,655,178,
643,559,339,377,719,938,935,081,196,428,756,197,568,112,020,198,830,667,750,
943,182,134,433,045,994,708,663,569,629,366,452,731,427,101,804,575,887,561,
395,328,033,497,462,724,908,608,773,654,785,863,148,105,590,486,699,912,740,
168,336,362,393,800,537,014,438,617,765,696,305,513,995,614,651,005,962,039,
505,026,632,354,925,050,822,349,462,857,239,067,093,320,319,142,250,888,932,
702,823,409,837,701,821,606,694,222,265,058,677,621,948,272,749,042,633,835,
916,372,239,981,249,608,377,609,043,487,845,492,448,326,403,600,733,856,495,
418,321,958,558,964,155,750,012,300,047,084,172,271,767,853,988,029,476,644,
520,475,967,755,642,894,136,309,274,507,193,989,840,366,770,169,870,022,022,
872,863,786,802,773,940,620,655,955,643,101,076,164,713,619,644,412,500,629,
050,058,193,480,929,641,500,702,048,388,955,874,324,025,442,099,030,441,632,
268,367,953,778,011,228,695,654,343,901,462,112,754,817,213,527,226,760,915,
271,715,641,078,421,524,120,692,092,116,561,129,839,900,372,621,328,998,503,
620,195,975,926,388,051,102,011,406,388,875,840,312,574,655,018,235,175,866,
026,057,699,960,898,412,959,132,408,321,655,691,297,998,122,584,555,650,572,
282,509,159,595,480,249,109,846,048,251,956,480,476,542,500,561,694,086,736,
668,533,578,145,329,272,503,028,523,632,704,021,353,680,415,243,796,914,212,
550,920,785,973,317,120,007,343,655,186,847,213,749,015,716,798,754,249,217,
296,559,317,352,839,669,136,325,963,089,551,668,277,982,835,079,611,028,413,
014,571,155,829,331,606,217,106,169,040,394,240,146,939,376,463,410,537,386,
382,855,746,852,101,428,148,995,740,312,919,693,807,750,431,946,643,938,405,
572,157,916,536,655,404,522,608,514,648,480,602,526,552,704,559,523,778,062,
981,080,029,987,028,265,567,314,566,179,112,122,233,683,847,659,054,670,368,
762,092,369,812,492,255,162,375,821,083,409,225,226,483,220,432,366,061,261,
216,529,392,740,194,494,335,701,947,093,302,613,253,240,665,094,457,343,353,
042,799,837,977,948,313,096,277,370,080,465,885,998,930,256,189,428,591,693,
126,202,320,244,090,980,073,010,773,873,428,241,646,537,358,997,396,556,215,
139,634,572,106,730,894,909,683,378,895,124,294,356,496,321,515,391,776,384,
360,833,439,251,609,121,072,011,373,616,736,493,289,697,004,009,471,006,330,
750,895,317,122,028,141,705,370,172,172,653,054,113,199,788,684,953,959,248,
436,961,147,691,381,028,671,258,938,838,652,957,073,615,187,266,769,155,094,
304,341,534,833,020,380,849,743,850,829,394,845,955,197,263,333,994,942,310,
092,628,617,681,619,452,890,122,402,568,611,775,236,023,783,285,836,073,873,
666,413,199,757,249,435,006,379,457,914,576,565,139,635,965,624,382,144,935,
722,845,658,834,130,068,296,446,221,402,134,492,618,970,562,522,847,590,552,
715,749,536,123,781,946,823,715,256,049,343,524,222,740,083,057,651,319,381,
239,179,435,689,100,351,322,872,793,269,756,503,588,564,184,427,430,325,863,
994,169,903,774,289,571,403,770,188,605,034,347,873,943,817,519,962,890,333,
507,179,593,238,925,575,374,893,957,790,567,101,759,220,102,366,384,316,589,
036,904,690,467,682,978,376,775,737,623,453,119,257,353,786,881,977,236,485,
169,774,253,963,711,191,309,682,524,941,015,431,648,485,818,364,331,792,654,
850,729,467,008,096,471,428,679,278,865,697,366,267,988,395,432,885,797,482,
522,584,033,438,115,448,998,401,444,744,192,071,555,613,627,675,434,076,265,
631,249,367,596,467,263,202,504,119,764,792,072,242,488,234,847,029,538,745,
002,970,789,782,184,250,198,218,497,101,540,845,397,173,797,629,537,725,116,
854,439,948,646,114,754,634,564,715,364,984,797,118,444,561,352,578,199,062,
888,265,283,694,038,284,485,451,233,681,454,562,255,368,343,586,880,969,194,
274,881,264,325,571,855,258,078,455,860,153,928,853,292,398,932,062,927,045,
342,372,413,185,506,852,539,933,592,679,250,295,670,905,960,734,162,244,092,
165,666,071,247,431,178,273,539,691,992,103,746,089,077,217,372,036,085,848,
544,690,815,801,773,935,425,755,072,936,552,263,879,122,675,042,799,331,370,
879,283,140,975,843,376,518,838,605,299,671,012,948,397,848,559,676,430,444,
315,311,643,294,484,712,466,111,621,572,665,067,929,184,216,840,850,844,898,
037,570,186,229,955,376,297,324,066,762,297,570,568,319,892,925,776,059,129,
358,030,850,052,945,808,078,550,063,955,805,587,136,997,315,499,888,740,548,
020,162,818,466,750,600,826,971,107,856,980,676,522,572,190,783,895,849,011,
797,746,150,086,636,539,006,265,952,408,534,006,694,362,409,184,096,692,164,
962,449,511,727,211,510,994,428,576,252,456,367,511,546,008,655,677,497,847,
330,970,927,001,436,738,094,934,008,691,331,076,693,627,801,524,721,023,410,
433,900,002,301,720,411,845,440,677,653,534,512,246,486,384,231,294,331,682,
210,140,611,653,605,937,193,815,789,606,977,198,629,344,074,681,163,547,833,
629,749,593,483,993,296,763,670,134,015,008,392,799,030,954,923,833,193,174,
224,826,310,842,529,833,622,009,480,361,769,779,551,011,433,731,073,670,254,
143,152,596,436,161,663,226,792,199,245,206,619,463,309,693,313,579,275,855,
662,293,870,835,955,332,981,387,683,550,217,753,608,674,575,412,399,855,493,
200,250,041,077,772,007,169,153,939,099,279,439,958,513,519,191,679,258,075,
700,467,709,580,645,672,611,081,887,107,466,682,225,776,693,029,130,664,896,
245,525,394,420,701,073,714,004,750,032,611,887,293,490,418,138,562,918,654,
060,878,709,179,513,358,085,245,712,911,599,573,181,625,851,252,922,714,462,
118,506,074,837,912,601,635,524,260,010,132,899,844,982,029,070,767,029,384,
573,223,837,666,369,787,396,537,185,001,854,025,939,467,424,896,135,237,304,
540,114,878,037,541,087,299,407,524,250,828,872,403,905,045,466,765,760,294,
717,842,313,331,691,192,134,708,127,917,878,265,367,865,867,322,365,529,860,
942,442,118,788,624,075,454,530,122,095,496,417,792,182,807,520,657,854,676,
300,815,586,790,236,409,974,646,555,531,454,796,295,887,914,185,379,872,502,
641,799,366,458,529,462,805,285,214,970,313,664,062,008,708,870,099,610,247,
347,319,094,157,577,078,345,262,098,512,348,866,318,729,855,708,408,255,607,
287,036,592,408,771,281,002,413,410,308,920,164,116,390,424,926,572,575,587,
704,538,237,205,915,562,965,640,107,348,684,787,461,153,188,941,227,229,565,
519,367,708,339,075,476,659,284,872,000,353,276,081,973,772,751,688,753,118,
369,304,239,399,227,414,489,586,378,001,962,054,878,241,115,414,327,640,823,
768,342,950,954,957,982,959,867,974,074,231,649,372,914,339,753,585,719,670,
378,431,397,136,404,137,129,836,475,587,963,121,416,899,591,870,701,006,527,
679,266,309,274,331,615,875,374,694,830,640,849,224,675,362,594,444,777,426,
380,549,391,035,324,315,465,952,599,940,102,108,840,755,225,100,557,839,831,
413,174,812,413,015,933,381,996,797,997,804,490,563,613,526,571,078,771,088,
038,850,889,078,661,915,600,035,050,338,700,493,402,246,091,687,121,704,527,
429,652,543,749,281,110,897,534,849,506,673,171,091,401,115,102,238,693,553,
703,924,547,404,657,421,836,392,184,090,339,185,028,310,403,479,087,261,599,
996,392,217,125,378,510,094,091,648,914,367,862,380,375,652,528,119,316,785,
659,057,710,900,325,087,097,912,024,705,736,166,302,609,329,390,363,938,032,
066,323,725,380,571,460,940,007,876,449,620,349,215,809,825,319,325,805,555,
098,872,639,144,135,243,022,806,032,238,551,891,117,939,140,352,398,368,977,
373,558,658,944,644,824,607,485,386,197,659,429,948,780,173,370,544,007,486,
355,807,227,304,872,492,481,267,167,762,432,759,879,004,103,945,131,382,258,
300,766,066,108,238,904,370,009,507,691,657,015,970,529,957,091,061,243,651,
108,473,378,224,389,637,671,410,830,084,767,442,349,606,924,543,867,509,858,
523,539,830,053,747,222,995,233,946,793,527,338,703,773,835,070,333,674,663,
819,937,701,209,915,270,676,391,232,108,955,451,263,935,289,481,253,086,747,
488,112,432,457,236,774,308,498,754,049,258,453,034,866,138,990,921,476,309,
973,191,896,610,906,162,211,372,666,477,270,912,243,953,037,150,983,185,662,
020,196,197,483,186,429,900,195,763,727,270,975,102,854,088,591,126,726,876,
118,194,019,398,331,593,752,874,649,071,270,963,442,371,262,070,649,155,566,
050,273,129,383,785,117,567,683,107,695,540,937,834,544,923,209,404,246,279,
632,972,554,367,532,839,138,406,131,286,053,579,040,558,870,879,482,210,853,
348,406,937,245,733,769,195,241,998,837,505,303,020,104,045,307,547,751,355,
623,675,036,550,869,528,223,800,567,397,720,853,104,591,629,458,587,191,421,
613,098,811,998,227,286,584,334,266,355,414,535,196,435,149,030,750,193,781,
773,015,650,562,575,955,768,821,546,657,922,391,832,109,877,811,375,442,942,
004,289,114,735,636,679,595,940,254,217,023,656,973,036,797,050,576,425,818,
332,609,969,791,839,602,283,124,506,262,533,395,320,999,403,596,259,270,272,
224,073,452,604,741,865,034,550,516,129,060,860,591,836,668,471,719,486,112,
233,279,379,208,357,155,866,082,062,289,370,475,368,469,811,168,583,026,285,
475,256,565,433,910,658,765,425,974,134,268,916,049,872,554,083,671,228,508,
283,804,991,583,594,595,112,906,666,502,289,691,020,203,562,410,702,281,472,
173,517,131,213,365,685,408,846,002,038,673,352,059,579,582,351,756,142,575,
682,288,053,442,685,204,801,876,706,656,045,386,240,631,372,415,733,623,470,
342,547,911,336,694,843,435,170,746,935,386,891,851,093,938,612,683,632,800,
976,733,257,592,422,566,769,702,940,501,950,611,555,077,519,206,787,573,869,
647,789,366,220,114,754,425,005,591,622,730,751,099,747,908,429,217,121,454,
511,661,084,707,353,911,897,169,135,847,050,030,621,721,376,363,923,307,836,
765,526,675,779,954,734,086,752,760,378,704,005,875,871,568,353,178,954,044,
897,987,185,510,138,751,247,070,914,222,173,545,453,930,680,189,570,007,939,
651,360,688,918,337,335,939,410,820,948,408,603,041,963,829,454,232,715,888,
958,734,634,456,992,195,901,205,964,748,307,757,263,140,895,685,061,566,909,
347,552,356,609,251,503,328,095,076,439,868,331,524,611,998,765,503,513,856,
910,867,900,651,639,111,090,157,536,413,485,117,525,277,182,428,640,997,691,
447,270,662,848,303,474,182,889,377,523,219,429,090,228,622,466,025,264,885,
406,466,147,268,300,236,674,357,741,133,313,604,540,712,184,220,016,630,510,
560,239,464,836,250,352,755,898,398,202,230,137,123,605,436,227,911,149,888,
263,137,292,247,055,799,462,309,782,998,070,318,404,219,775,697,613,153,788,
186,063,275,966,541,776,870,209,384,049,569,579,466,969,511,276,993,946,378,
214,272,584,412,152,700,865,744,745,761,481,955,552,145,934,256,120,143,429,
242,462,416,004,589,952,185,908,875,962,279,212,479,296,548,906,582,992,070,
078,512,457,880,576,127,157,280,262,298,857,831,411,412,807,171,681,978,688,
265,719,943,549,230,023,863,638,688,980,222,520,376,539,793,654,995,358,458,
446,433,462,515,988,208,477,715,482,242,421,680,207,520,371,314,875,376,335,
209,220,776,539,555,960,483,269,638,907,165,303,531,125,718,621,768,697,646,
497,798,682,926,955,893,371,549,632,181,109,985,755,847,442,672,174,880,714,
054,243,147,926,546,344,087,459,731,347,041,213,494,875,525,262,748,499,002,
531,580,864,081,393,223,477,838,732,359,371,096,812,851,263,039,803,662,967,
049,703,951,990,061,999,341,399,240,075,572,974,845,084,175,184,325,558,163,
023,771,773,120,325,806,034,053,598,213,657,011,825,434,107,900,290,042,130,
099,760,632,868,234,791,418,848,672,852,675,852,679,214,511,098,011,557,005,
150,542,654,163,533,933,645,359,936,602,472,193,849,343,265,286,892,179,927,
187,382,616,458,913,408,182,651,653,447,567,761,501,718,500,165,622,475,257,
843,859,719,625,180,523,179,578,895,016,587,757,743,343,109,769,968,326,437,
401,666,685,877,782,436,671,342,087,273,681,925,740,876,977,924,134,536,265,
898,995,783,099,780,162,185,430,420,191,353,476,585,436,733,367,451,334,508,
764,669,457,186,168,086,507,012,920,003,302,817,628,314,961,555,324,412,869,
427,999,524,346,963,187,806,421,077,680,962,518,273,173,026,006,081,154,046,
052,574,583,008,937,517,056,061,069,691,873,399,506,314,769,703,897,932,022,
324,650,348,032,098,144,172,073,285,494,606,612,482,347,375,033,585,144,383,
975,842,411,134,210,886,797,135,811,745,546,568,334,433,941,290,036,442,679,
909,332,229,651,218,004,777,823,640,086,991,367,300,447,749,874,686,977,329,
429,819,021,893,778,114,447,895,629,058,489,850,416,020,559,968,641,897,638,
450,861,855,758,577,181,912,680,266,495,803,489,693,102,020,596,199,033,458,
869,539,567,556,506,715,127,285,214,357,787,825,806,380,902,562,640,334,887,
573,593,315,500,434,848,260,978,595,754,344,080,225,974,778,687,288,280,513,
201,256,086,342,584,793,169,453,049,990,856,711,948,578,687,846,381,972,357,
668,347,009,339,825,107,635,040,769,017,556,053,439,609,790,818,552,845,297,
420,180,400,875,091,692,040,254,301,781,517,597,253,550,835,593,916,687,912,
220,703,565,974,992,395,092,353,353,247,364,032,465,613,940,744,613,994,040,
547,592,227,495,839,015,735,007,334,974,928,300,080,247,986,286,194,019,884,
632,518,469,273,328,320,982,180,251,456,925,137,378,816,632,354,567,552,109,
458,173,184,395,966,458,673,413,512,493,914,588,270,528,059,217,055,655,309,
214,694,080,481,038,387,171,820,007,771,033,214,066,980,107,231,971,582,387,
808,646,224,989,583,034,270,615,493,376,852,550,935,115,667,798,676,258,669,
104,468,855,667,409,879,458,456,576,575,631,692,798,687,117,389,025,024,274,
906,249,099,720,100,128,747,964,362,939,732,486,189,734,984,420,955,437,121,
165,115,821,031,891,465,680,774,205,871,722,956,197,959,031,337,672,676,707,
557,794,175,970,478,146,047,600,256,164,204,920,440,150,857,708,129,565,120,
476,190,600,432,584,256,882,933,768,438,293,413,791,963,512,523,856,169,303,
992,592,186,455,323,519,983,394,388,546,537,692,125,839,195,257,291,496,558,
541,088,227,691,573,375,686,198,854,162,810,824,889,668,550,211,495,845,797,
233,786,262,716,875,967,112,636,249,790,740,437,115,910,399,983,372,037,992,
141,911,293,635,534,279,416,762,870,610,883,150,792,227,342,567,223,260,619,
884,347,134,642,712,757,431,100,718,652,749,315,138,961,442,264,835,149,373,
965,274,267,412,257,164,905,934,404,053,102,681,818,367,730,552,862,366,203,
422,583,798,389,914,325,486,686,670,662,583,458,749,561,106,414,436,296,323,
093,057,391,371,813,613,555,406,694,504,653,553,164,508,898,129,552,078,741,
655,735,137,956,187,768,948,895,027,563,712,328,959,977,806,355,227,178,603,
750,748,437,600,939,943,486,995,626,896,647,513,184,785,402,657,622,747,626,
363,146,637,654,306,494,893,179,965,239,767,053,571,192,034,397,509,602,688,
386,816,886,041,515,367,172,510,776,014,503,110,164,466,309,549,692,403,409,
431,908,086,229,464,681,619,603,856,095,889,435,937,426,664,315,958,488,431,
221,112,990,109,103,194,379,988,410,691,647,295,109,027,352,263,830,326,544,
240,548,896,363,867,228,879,793,465,034,019,682,588,423,469,012,515,202,187,
997,473,624,514,675,182,083,358,357,220,146,024,890,868,084,880,349,148,764,
171,078,319,077,312,909,028,035,605,835,354,870,232,001,628,239,373,853,048,
358,298,282,794,781,507,544,705,352,308,678,426,471,509,953,089,579,657,907,
300,183,286,175,485,372,048,092,054,421,648,986,763,066,484,341,762,099,586,
701,469,290,921,876,307,271,018,411,632,085,676,541,894,707,065,716,813,906,
918,954,615,694,310,386,109,335,923,119,086,052,198,056,941,826,077,880,834,
800,688,573,583,140,624,609,754,220,678,443,806,693,196,360,214,034,236,718,
917,791,329,066,155,510,661,196,012,071,259,543,566,312,980,382,005,549,538,
952,893,130,986,946,305,846,818,900,017,610,545,367,161,031,566,534,628,115,
475,290,072,234,737,902,069,368,368,337,432,223,667,740,564,291,240,483,748,
632,769,583,960,984,242,532,078,777,123,833,187,828,705,272,276,894,919,281,
720,569,324,782,742,270,215,184,164,952,865,669,013,199,239,408,868,736,409,
873,965,338,446,979,014,082,562,319,829,545,725,759,740,082,076,155,435,855,
248,435,529,377,759,199,657,693,329,024,418,351,724,802,590,358,925,556,301,
765,148,982,295,217,048,418,093,611,688,557,313,122,859,339,886,889,051,797,
628,943,613,025,237,590,848,031,684,503,448,382,764,310,075,168,312,946,217,
853,091,807,142,021,624,387,059,589,584,190,284,080,133,831,983,905,885,362,
672,023,024,026,537,545,883,405,996,808,938,068,836,340,674,341,796,478,962,
662,658,176,227,481,178,620,150,300,071,188,738,337,828,160,947,651,759,266,
074,643,418,948,234,746,156,688,974,022,459,169,623,872,207,198,779,682,795,
966,281,079,931,975,750,211,664,838,595,581,510,355,945,049,866,384,541,434,
015,630,029,985,547,127,925,058,976,515,045,390,158,989,766,607,402,217,852,
320,945,208,523,393,953,428,164,286,887,954,873,404,022,681,555,224,874,970,
775,198,630,818,539,578,286,006,391,514,089,067,453,049,357,958,457,210,161,
697,561,214,205,986,748,303,128,481,441,475,876,627,113,465,150,622,686,236,
338,253,938,468,050,248,047,533,302,397,127,855,018,157,825,473,073,670,963,
599,138,520,265,237,504,918,283,011,037,675,213,474,237,854,241,238,335,682,
116,221,793,543,130,236,686,599,081,702,357,915,346,858,046,249,926,331,223,
498,177,588,185,444,431,971,818,059,486,608,572,192,025,312,958,209,666,182,
374,173,899,660,394,349,680,205,437,803,642,378,920,538,429,121,543,810,283,
789,171,053,925,887,921,869,362,220,119,792,134,736,681,754,375,239,500,642,
983,194,895,166,307,523,528,874,291,872,889,615,456,754,842,245,322,641,178,
839,222,162,695,576,535,284,328,466,954,882,031,925,695,673,684,880,158,246,
430,436,274,258,570,736,100,639,195,641,882,102,191,078,602,174,781,562,179,
909,547,009,721,783,104,842,591,716,837,692,135,044,463,664,098,942,870,593,
921,726,119,065,056,333,080,098,614,818,920,730,804,418,546,174,075,631,707,
788,949,236,176,089,987,249,620,135,124,526,636,138,701,058,948,186,377,607,
495,893,012,602,622,673,437,531,182,537,230,367,451,511,396,691,465,197,907,
772,215,605,069,213,201,821,989,340,951,822,491,364,493,949,946,765,446,076,
534,070,501,033,845,913,005,174,035,278,370,692,505,144,333,381,221,038,264,
891,066,097,017,219,943,762,872,077,408,759,089,521,319,159,552,443,882,151,
550,248,161,666,003,833,454,124,637,138,385,992,723,248,432,670,203,286,058,
013,889,717,842,601,427,572,986,772,103,741,956,960,588,574,985,069,200,982,
343,376,919,386,125,819,730,636,019,107,042,578,039,630,510,747,781,899,437,
675,014,279,286,077,236,391,116,580,383,183,098,736,070,870,142,471,306,361,
197,255,586,474,289,955,205,095,196,014,975,865,830,018,405,393,613,410,084,
143,960,519,433,453,428,962,768,302,901,563,599,016,265,643,478,099,056,418,
342,961,117,345,107,882,634,699,524,329,276,177,233,422,544,640,421,693,291,
391,162,947,991,794,095,961,299,836,215,989,206,832,858,294,758,532,190,653,
779,056,902,851,686,973,220,608,046,125,033,803,222,674,816,982,927,744,044,
668,184,175,018,815,286,929,031,094,457,171,372,750,045,570,497,135,026,721,
535,970,991,756,939,926,668,049,664,193,211,622,998,778,092,957,231,458,038,
233,947,756,196,212,314,865,776,326,342,930,294,833,148,525,548,887,141,663,
658,790,575,139,571,022,602,118,510,046,539,036,250,965,268,000,710,554,968,
883,880,286,097,648,584,177,063,870,627,344,050,201,712,641,799,302,306,872,
730,878,898,391,888,339,640,080,712,080,746,246,846,338,473,454,561,058,139,
443,568,615,731,151,119,325,952,162,668,068,843,765,311,122,754,715,832,878,
573,961,767,928,283,998,235,907,985,986,238,768,507,213,488,141,434,302,164,
141,607,871,342,311,503,223,537,448,939,325,065,048,242,212,696,083,371,280,
550,968,005,554,263,661,229,251,812,428,948,099,904,616,941,168,920,533,291,
120,096,150,529,437,582,235,162,135,815,791,889,459,860,003,539,456,287,427,
858,396,146,879,577,999,558,691,120,128,261,873,567,368,227,475,113,404,161,
461,875,532,406,159,089,131,397,960,062,579,323,203,032,799,199,920,106,700,
909,431,229,205,169,968,405,410,359,436,952,354,671,877,186,645,423,047,991,
352,755,588,662,329,780,601,206,511,287,815,532,258,886,604,969,973,187,440,
222,620,659,165,370,057,659,849,413,968,944,866,767,374,786,202,693,457,329,
117,764,870,978,928,497,231,479,766,389,684,502,371,624,228,448,424,912,288,
140,329,173,631,387,314,479,051,001,418,003,699,238,487,326,108,687,065,867,
779,794,297,242,064,798,165,750,296,415,449,472,431,248,267,654,482,615,131,
790,193,547,424,709,709,568,913,197,975,802,280,525,679,801,134,240,725,983,
240,338,002,258,896,547,524,229,931,249,063,343,202,101,326,889,173,377,934,
171,920,665,637,107,724,217,750,250,852,394,036,556,366,297,661,151,367,311,
548,096,653,122,134,597,791,954,145,333,587,377,656,349,555,804,860,675,585,
909,572,911,002,396,995,463,816,908,826,030,154,361,949,376,039,985,828,737,
462,256,511,980,844,435,190,778,295,998,242,926,554,529,908,434,374,549,799,
053,083,031,846,725,662,919,585,472,704,065,912,726,608,578,295,552,508,288,
895,687,229,726,016,025,993,841,948,113,319,575,962,761,409,447,350,310,685,
488,236,477,028,656,498,980,278,023,199,739,057,743,841,039,659,323,447,906,
055,372,440,519,897,137,740,101,264,018,915,416,709,628,353,996,584,016,299,
691,825,582,449,456,423,747,764,148,885,984,777,570,234,638,360,262,695,875,
115,967,465,114,755,882,398,166,534,893,778,529,794,884,427,157,596,146,248,
925,175,451,858,657,751,799,454,997,147,559,281,249,170,177,365,724,771,758,
556,458,696,379,754,706,387,429,950,540,983,744,418,640,829,580,997,282,317,
892,317,049,469,033,101,317,145,297,019,174,883,455,494,266,188,177,869,528,
499,611,826,973,961,059,007,471,084,356,067,472,200,477,633,969,827,800,124,
484,776,920,458,325,220,008,946,525,905,965,770,154,837,480,747,998,349,053,
025,877,686,309,406,996,179,409,115,982,945,335,239,469,686,484,404,570,734,
863,204,700,689,964,151,328,678,108,875,699,957,821,329,658,631,106,440,936,
114,359,287,247,822,936,984,240,293,766,751,798,856,486,658,930,412,285,168,
031,282,445,386,917,889,719,481,995,931,016,872,075,226,806,519,666,516,924,
793,486,777,646,740,600,066,578,277,039,021,985,114,240,948,033,904,770,283,
303,948,406,183,344,536,387,188,237,671,667,412,743,926,975,108,556,743,045,
755,228,018,946,258,797,103,171,965,378,492,782,396,152,644,677,269,826,956,
760,788,619,118,343,411,840,695,560,544,894,869,347,148,282,560,458,774,190,
922,157,727,198,872,566,224,500,653,241,746,826,466,732,720,153,067,427,672,
592,285,601,863,733,331,683,991,306,000,700,202,793,709,336,060,390,716,860,
536,378,800,817,332,562,719,452,844,919,365,732,966,199,964,717,205,127,395,
829,741,306,547,476,130,863,205,940,240,271,049,933,518,579,138,878,005,853,
788,873,245,873,434,922,464,941,080,579,757,916,310,343,700,975,141,092,157,
822,450,684,818,798,323,946,373,249,340,043,886,249,965,407,565,961,620,219,
853,189,749,866,508,923,640,755,432,846,537,071,663,490,658,858,707,838,194,
500,291,163,856,707,287,673,491,333,898,322,931,119,623,631,822,329,426,070,
090,159,878,813,327,142,785,658,012,531,723,977,329,491,726,146,720,129,474,
023,823,750,645,684,141,982,142,394,334,121,255,435,999,536,704,368,821,598,
830,751,668,863,504,808,032,774,464,437,809,669,698,321,611,503,577,854,686,
064,230,289,850,232,786,493,731,878,767,554,003,062,312,663,431,674,618,376,
778,137,006,944,012,437,783,685,959,155,307,159,691,965,839,103,987,272,859,
785,278,469,104,019,454,201,206,931,689,097,054,883,280,628,392,928,486,885,
910,138,068,474,982,472,840,233,040,822,833,777,105,280,492,120,188,128,747,
220,759,223,669,844,727,439,741,668,261,467,677,932,391,541,591,123,267,790,
457,480,446,152,873,307,968,545,486,144,337,023,039,671,528,910,821,967,021,
799,823,445,872,343,027,168,355,118,773,788,539,604,938,272,128,193,871,532,
743,918,858,932,865,218,433,482,080,085,858,407,264,706,443,728,301,268,670,
781,986,606,863,498,883,006,722,166,746,541,968,305,498,264,308,250,643,294,
564,413,862,758,127,428,509,431,953,834,447,342,483,841,051,759,686,830,001,
747,966,828,819,936,854,344,185,777,234,066,202,904,607,557,051,449,433,669,
707,560,814,488,181,667,005,366,781,848,406,879,800,591,250,549,503,389,279,
012,458,221,148,238,693,690,997,176,966,902,894,465,446,100,799,452,326,511,
241,974,279,707,225,748,131,646,279,076,552,162,894,134,585,507,577,021,040,
545,047,601,926,770,224,606,935,212,355,217,246,109,746,233,314,618,857,883,
766,404,570,160,308,871,422,334,521,007,927,783,843,888,804,140,295,179,713,
649,260,740,576,896,213,314,641,604,564,726,259,983,230,062,969,006,642,586,
846,221,467,732,221,126,043,564,128,958,273,172,855,978,788,076,683,503,892,
590,665,557,094,608,861,898,020,651,508,525,635,668,588,359,465,858,599,026,
561,803,875,052,862,821,434,062,396,940,534,916,863,367,110,931,450,129,223,
659,977,904,313,783,806,220,316,241,067,431,507,714,377,113,888,954,481,378,
471,333,728,016,748,575,312,837,479,127,660,271,405,668,129,313,418,687,213,
071,253,925,978,905,816,441,061,234,641,423,612,953,989,760,886,091,938,113,
024,244,446,485,252,785,532,029,961,362,440,925,696,992,500,699,388,757,345,
080,678,876,033,596,135,316,884,932,901,207,026,205,625,842,900,532,311,875,
408,403,844,074,194,865,674,192,179,321,992,398,150,114,158,210,057,220,145,
059,742,943,506,520,423,594,525,206,453,766,269,459,772,430,202,740,260,232,
609,132,505,157,271,605,104,828,686,275,321,688,136,058,563,527,443,018,014,
465,937,030,879,531,772,569,009,400,036,696,138,576,129,597,189,464,087,991,
198,296,700,583,274,887,783,809,110,230,978,469,611,571,234,831,689,440,156,
853,365,490,885,315,951,595,098,993,918,290,260,450,604,363,535,893,782,616,
050,763,644,942,355,227,147,699,359,650,015,246,793,100,217,743,434,989,878,
837,281,747,613,256,840,698,293,499,963,169,221,612,731,046,662,641,893,217,
292,625,895,786,210,343,795,237,897,227,989,248,735,054,136,062,076,735,479,
256,319,028,378,864,662,946,150,270,643,293,101,290,244,357,399,858,503,893,
736,808,805,506,860,475,698,134,729,267,167,243,765,330,393,837,330,048,013,
161,682,415,694,338,773,684,140,481,254,003,106,671,404,592,641,296,764,750,
336,498,605,634,417,513,896,461,482,951,731,662,318,501,305,288,973,500,082,
858,900,349,890,806,013,326,432,104,121,417,114,740,051,203,158,381,240,036,
513,170,838,618,228,842,992,616,152,157,755,154,006,411,173,985,165,067,275,
130,869,016,381,297,631,657,078,256,503,813,262,618,813,880,042,391,917,386,
672,926,313,953,743,329,363,169,200,092,297,162,301,502,098,839,374,998,651,
907,716,096,275,832,054,142,150,424,598,039,602,477,575,212,269,242,534,445,
252,726,047,722,218,925,493,542,205,153,476,908,211,855,797,389,044,078,054,
677,702,020,257,591,073,687,405,421,948,803,389,146,090,051,793,871,360,039,
629,929,248,190,734,191,673,055,967,493,733,353,965,630,650,833,216,169,196,
009,046,749,412,507,190,243,626,440,860,285,811,297,619,071,526,023,273,867,
758,019,060,518,940,185,691,626,232,299,240,294,365,019,181,622,545,088,005,
251,306,051,249,656,294,792,878,349,935,578,550,206,076,483,808,031,669,259,
715,258,003,370,491,732,440,663,828,305,637,198,298,685,105,535,956,384,530,
098,160,996,698,306,747,151,006,167,003,386,301,936,862,395,731,830,366,347,
170,246,398,473,295,399,949,330,913,880,599,654,910,953,153,063,910,615,963,
514,547,048,865,156,894,438,520,090,509,325,134,701,303,611,924,948,506,432,
470,163,762,714,788,890,223,853,140,085,948,610,301,393,185,838,286,875,015,
508,477,343,718,613,630,710,640,836,486,386,804,246,753,658,118,480,405,928,
043,457,085,689,001,995,084,350,584,250,610,464,075,817,805,729,925,648,775,
031,358,048,768,568,318,818,894,578,922,533,451,393,956,500,048,932,492,645,
233,921,717,481,236,818,834,497,743,562,718,007,510,349,152,005,369,111,262,
743,715,239,792,309,985,303,286,813,538,154,194,459,529,031,608,635,246,003,
911,314,062,886,581,792,534,977,038,740,195,354,382,694,207,073,072,145,299,
698,760,504,530,082,266,964,549,764,945,974,893,466,771,189,709,261,131,219,
171,705,575,872,909,795,234,590,414,103,684,121,249,426,592,670,143,389,574,
816,951,894,648,052,361,888,345,441,772,427,537,095,964,242,479,525,628,483,
373,538,337,391,671,766,568,210,183,567,749,302,772,169,552,014,124,989,196,
911,798,112,227,702,035,726,492,193,228,005,054,015,397,889,839,462,762,701,
279,428,474,633,973,468,468,375,321,075,873,723,832,963,977,274,357,413,587,
520,601,829,804,189,928,421,496,186,320,274,309,496,489,481,867,183,531,504,
033,776,541,701,755,000,771,003,121,526,990,394,204,822,622,768,824,784,612,
245,717,999,457,060,074,509,651,752,636,812,328,010,613,474,880,784,925,190,
198,599,077,446,333,477,473,796,843,877,435,263,113,724,973,359,028,203,519,
452,035,192,487,453,680,679,701,493,914,197,130,625,040,675,979,968,496,104,
724,447,497,917,571,386,932,792,160,173,738,685,814,003,329,500,921,937,031,
885,437,547,714,610,823,915,910,294,671,431,377,575,895,895,871,112,096,282,
116,645,162,847,890,705,746,301,495,916,664,139,697,471,755,684,408,950,996,
640,550,529,909,178,170,921,316,287,403,678,066,794,354,281,438,278,500,118,
893,555,880,714,497,834,219,616,069,276,218,214,736,188,189,601,336,386,481,
087,469,108,571,869,587,444,293,867,146,978,406,593,281,665,290,747,139,304,
532,642,432,061,572,471,829,532,604,416,636,754,070,626,494,344,433,478,624,
317,012,013,492,008,936,049,434,784,889,003,449,196,153,605,896,666,326,612,
838,156,760,042,923,019,695,708,372,394,532,412,803,623,480,548,810,359,499,
098,083,855,743,266,011,421,125,959,254,667,823,564,803,254,015,658,897,907,
481,079,893,269,826,087,856,805,865,156,722,431,848,756,591,793,515,271,249,
076,514,528,233,789,150,622,359,913,216,487,792,975,767,759,161,011,845,926,
746,009,137,156,508,144,767,441,298,469,353,725,366,726,123,464,446,773,231,
699,726,866,551,105,053,500,410,065,287,607,237,522,911,082,926,454,950,278,
825,759,319,944,897,513,565,994,884,062,628,286,795,036,612,846,326,422,988,
604,671,191,301,711,973,828,502,135,260,258,923,965,999,050,968,815,908,067,
005,410,152,632,191,207,088,786,205,882,416,153,301,681,865,600,971,503,102,
046,252,669,092,722,848,225,633,003,713,832,989,243,532,102,103,233,906,021,
975,986,580,603,725,453,064,780,014,303,998,982,080,678,182,764,123,204,962,
006,127,069,493,522,524,802,474,691,033,907,607,038,970,742,311,351,634,486,
382,741,809,157,461,247,544,609,731,435,124,732,645,555,706,593,627,338,224,
702,989,514,295,725,395,934,585,652,136,369,437,947,575,914,385,504,882,352,
925,208,275,436,024,047,098,871,413,269,734,147,630,627,010,730,866,968,922,
875,956,796,009,024,009,696,411,153,045,727,574,730,109,342,452,977,965,439,
855,554,245,546,191,969,269,933,389,117,099,125,521,149,224,750,972,328,102,
261,311,698,901,195,058,059,363,462,481,327,964,762,326,566,246,962,506,031,
323,142,323,088,902,456,255,386,737,689,844,332,021,102,615,813,910,869,907,
794,658,003,108,067,938,700,955,994,480,793,098,480,133,074,038,405,511,248,
095,585,229,271,130,371,582,612,910,863,872,582,261,770,976,543,385,753,631,
538,986,816,951,543,920,930,524,795,144,053,707,308,822,341,505,007,241,026,
740,564,112,635,118,742,596,710,428,812,034,718,591,279,187,324,780,120,121,
457,392,398,589,255,271,966,850,453,090,957,984,125,886,790,317,749,186,863,
418,337,135,618,548,694,669,188,282,471,819,362,293,751,940,967,831,256,706,
743,598,916,791,990,673,715,411,243,415,214,939,978,744,443,631,853,738,346,
177,180,446,796,481,681,474,032,387,599,020,812,043,134,759,786,520,002,636,
720,434,652,489,784,767,676,717,737,683,022,762,613,909,163,190,482,859,301,
610,608,285,137,182,381,474,364,717,668,303,188,052,318,893,622,574,432,721,
395,560,558,213,851,996,334,045,455,464,264,820,501,924,456,799,875,628,736,
086,585,816,799,144,729,339,808,075,129,047,396,913,632,252,037,982,556,999,
065,969,628,453,105,919,645,154,662,462,549,891,202,908,651,021,538,895,585,
455,140,298,943,096,850,178,869,861,260,674,533,587,956,817,398,853,881,702,
095,168,776,247,050,713,912,187,831,779,953,807,959,808,203,240,171,654,272,
631,503,735,920,538,449,764,061,423,125,746,750,405,461,131,266,273,905,802,
892,316,396,422,529,225,384,844,420,017,769,040,725,344,269,651,985,505,364,
981,537,222,933,857,886,872,543,523,795,016,504,218,651,762,093,035,835,315,
412,088,597,899,793,297,157,497,114,522,564,447,877,018,736,724,283,320,510,
996,393,788,794,713,962,823,835,756,166,080,697,367,694,155,418,883,854,962,
224,953,042,579,735,520,876,515,355,719,680,084,446,786,238,249,893,015,946,
890,874,244,272,560,134,006,634,090,707,586,852,934,843,137,880,966,024,240,
217,967,103,610,530,579,567,526,674,738,091,026,634,308,733,745,975,916,138,
630,930,604,366,796,762,550,870,875,114,225,958,426,273,939,390,736,145,105,
531,703,087,056,220,307,926,228,770,256,980,671,303,177,655,687,319,443,560,
912,691,229,270,395,374,752,995,100,010,949,385,086,491,728,016,980,957,365,
145,543,153,998,635,109,881,024,340,412,384,634,493,572,947,250,983,979,344,
955,231,833,787,315,017,489,021,701,190,872,195,470,756,185,589,589,854,712,
293,454,787,106,134,174,895,848,730,697,305,825,842,374,284,954,233,142,282,
205,423,647,247,950,081,888,818,935,814,260,428,927,280,592,005,670,487,345,
311,241,301,405,438,938,093,433,253,959,745,883,630,592,943,869,183,578,363,
202,195,216,164,173,017,105,340,206,293,814,085,276,696,026,842,376,381,146,
847,300,548,735,656,084,899,979,393,143,519,773,449,819,862,292,836,231,821,
564,942,689,815,926,421,133,638,588,092,969,722,213,143,631,032,569,588,615,
948,370,979,768,295,963,688,692,371,342,770,678,957,608,954,329,006,333,310,
656,671,492,811,215,661,427,028,428,207,884,937,634,942,870,917,593,810,708,
022,692,098,886,370,513,878,914,666,106,248,604,836,124,551,104,337,553,349,
872,080,896,316,927,990,439,558,627,067,242,619,052,162,233,799,693,231,967,
717,050,967,727,740,901,398,751,023,244,629,253,698,950,445,578,327,102,835,
267,703,107,820,837,771,520,347,152,038,759,417,973,065,315,126,981,480,906,
484,179,801,510,069,356,300,532,774,284,871,674,663,092,960,949,861,270,884,
986,370,499,696,772,327,089,426,576,727,991,570,365,112,366,793,966,145,099,
098,847,743,730,619,439,434,292,705,886,890,451,408,313,938,818,981,805,095,
050,296,673,059,659,345,892,923,358,585,348,244,788,883,738,695,315,790,787,
285,991,870,010,606,386,709,202,398,834,596,017,735,103,038,851,504,218,575,
353,121,513,369,050,283,206,926,562,501,655,526,716,896,220,947,014,306,352,
252,293,273,963,873,610,186,631,081,367,812,611,548,551,244,185,331,903,374,
875,656,971,232,480,258,058,369,757,544,132,886,360,959,074,017,673,064,266,
246,329,866,066,516,687,191,251,297,163,967,790,595,801,066,938,754,588,043,
761,807,356,754,720,921,519,101,396,781,719,057,476,989,844,279,198,276,647,
153,744,105,907,375,458,635,935,396,113,283,401,320,943,765,649,093,666,349,
861,467,678,345,641,217,479,529,942,075,674,003,170,985,660,667,105,269,394,
858,013,390,116,484,885,478,799,287,449,907,824,966,758,115,975,181,566,687,
384,294,904,492,138,880,767,849,650,239,051,013,765,212,779,461,247,599,770,
589,744,504,517,386,203,220,725,871,724,583,718,940,823,856,269,327,717,519,
641,998,456,676,709,469,641,332,044,755,914,702,888,868,530,239,923,658,907,
053,414,878,160,947,937,235,381,297,905,685,069,953,247,454,228,163,678,930,
924,738,707,073,800,521,093,252,494,328,161,662,555,364,329,118,919,944,813,
461,587,500,410,071,599,948,329,397,371,340,098,543,639,202,959,081,421,828,
280,423,531,926,976,727,026,141,076,978,230,886,390,401,401,246,187,698,973,
343,888,521,627,201,250,599,126,772,672,084,996,137,207,235,385,173,821,002,
704,285,986,065,839,078,596,668,326,330,610,601,170,350,131,612,694,389,289,
206,475,308,607,160,109,595,316,423,576,337,599,936,914,837,650,197,709,630,
531,142,461,465,656,234,055,795,409,741,124,314,486,418,576,224,333,433,824,
537,496,830,500,039,710,571,142,128,589,990,213,820,599,474,677,035,556,180,
116,910,150,882,133,218,102,854,362,105,581,082,119,218,905,011,342,383,280,
233,671,636,870,890,467,477,489,740,050,118,218,748,475,685,518,149,043,758,
834,151,302,053,327,639,508,347,811,180,825,930,523,129,408,429,480,830,438,
803,877,910,243,986,860,331,447,407,177,201,061,884,535,622,373,234,485,029,
438,063,408,620,455,624,003,172,285,999,489,619,848,720,416,049,431,878,852,
891,197,548,342,084,945,801,640,824,756,111,738,248,255,302,287,430,055,793,
630,280,583,089,405,475,174,866,045,166,464,371,912,612,541,540,389,336,699,
572,536,801,945,954,988,194,821,327,713,125,342,329,593,771,186,846,385,689,
665,622,452,877,284,324,807,624,637,223,349,625,454,528,331,471,872,985,146,
837,487,329,641,716,418,772,616,317,204,125,578,108,310,014,448,911,290,955,
916,227,258,496,105,320,010,664,634,731,472,008,269,020,045,388,031,594,268,
865,800,919,224,218,227,167,338,315,544,545,990,813,757,449,819,764,309,141,
080,525,820,055,887,152,629,858,840,237,465,390,040,642,477,863,978,684,354,
754,238,826,937,870,443,831,979,645,143,767,987,825,740,867,909,692,518,519,
339,899,528,090,980,735,727,136,705,556,968,890,506,278,648,264,949,896,630,
541,516,897,658,458,404,152,286,294,484,679,243,260,667,543,768,697,485,186,
405,433,959,623,079,013,108,741,107,974,239,238,516,227,979,057,070,170,364,
307,018,401,999,269,138,428,400,842,997,878,524,313,066,697,537,146,563,621,
154,586,935,359,198,077,428,376,285,355,883,152,753,634,787,558,401,434,390,
009,969,370,141,150,806,024,284,186,822,388,535,616,708,106,752,967,315,089,
971,373,621,814,555,836,435,433,688,527,405,290,236,579,234,858,273,069,930,
945,402,693,636,723,638,171,458,517,771,038,592,661,373,739,815,234,048,193,
659,775,491,957,462,111,527,446,701,349,233,449,556,811,373,424,109,289,248,
489,076,989,679,590,996,507,580,782,711,829,020,078,066,277,615,124,898,204,
887,024,998,294,481,381,853,043,394,841,594,896,220,369,012,422,390,568,605,
901,716,635,657,344,592,048,031,169,535,482,471,969,488,169,123,471,687,352,
136,940,241,434,267,293,202,040,610,473,926,320,188,492,164,307,953,801,264,
873,566,149,630,653,684,708,695,376,284,026,007,605,531,796,553,218,732,898,
059,874,187,848,082,687,110,110,743,555,724,514,945,823,704,256,930,613,470,
488,162,150,915,632,323,944,763,724,058,540,999,485,424,793,489,887,334,333,
212,484,125,172,925,358,916,570,970,222,529,402,243,301,410,919,479,329,955,
786,112,482,509,074,410,341,298,731,037,135,528,105,547,787,378,813,714,982,
058,995,467,186,200,766,817,147,312,513,808,250,213,848,188,591,375,308,126,
177,855,960,283,396,071,187,351,640,780,597,932,037,346,179,441,356,584,320,
093,659,851,795,339,471,719,057,630,161,942,043,391,583,298,063,224,592,342,
039,073,517,986,394,310,804,968,967,806,827,013,491,302,489,925,916,923,613,
160,317,962,705,410,505,613,661,044,124,573,208,544,059,384,345,620,174,131,
959,308,241,281,046,136,661,922,295,107,748,161,646,782,616,311,589,468,885,
177,329,321,792,230,577,903,119,454,172,989,641,158,713,247,708,017,496,427,
411,307,017,161,536,439,975,848,736,337,942,937,932,343,722,038,036,205,392,
810,677,655,331,503,025,377,176,733,234,746,666,131,411,781,989,336,736,143,
523,124,488,160,231,092,708,492,108,831,440,684,909,502,890,359,680,434,468,
475,613,975,082,845,205,474,319,151,232,220,197,914,305,629,627,043,550,201,
274,131,833,627,547,541,741,905,991,278,142,780,848,057,532,305,814,219,506,
291,933,142,643,591,318,435,716,396,507,220,155,796,406,423,012,336,279,859,
003,743,826,721,445,612,059,385,574,639,521,871,046,700,297,682,881,480,477,
246,179,086,199,090,654,840,201,994,646,641,534,861,779,680,733,045,590,171,
963,922,964,155,317,574,115,953,472,745,036,440,201,686,280,309,374,846,913,
869,461,183,537,368,369,678,569,785,578,227,105,676,948,797,603,736,421,710,
302,943,576,746,370,645,334,456,667,788,426,217,066,104,199,293,461,918,532,
437,310,894,722,827,703,483,686,243,263,355,723,050,827,185,950,328,913,878,
414,904,303,296,162,539,017,775,989,904,996,920,319,938,104,273,764,882,937,
578,530,564,422,308,258,677,576,559,432,446,708,127,434,339,365,164,603,723,
353,100,043,819,182,810,249,974,365,173,794,193,739,559,411,784,570,503,576,
455,829,532,880,613,496,916,549,686,990,121,495,946,572,236,502,437,666,271,
169,107,063,478,088,424,708,079,898,888,243,145,204,383,266,006,813,670,139,
628,150,931,943,181,861,746,388,124,492,135,599,045,332,824,590,415,999,345,
819,717,494,544,006,183,623,150,099,409,090,378,055,507,937,697,718,113,393,
541,070,901,165,015,025,111,334,240,152,911,155,438,439,962,726,362,601,309,
970,627,889,049,901,620,832,634,478,745,279,259,707,447,702,569,236,733,583,
883,212,042,296,575,683,537,626,923,859,447,767,794,237,679,730,427,570,146,
946,822,716,930,841,239,112,571,683,184,469,186,510,885,584,501,310,182,740,
808,468,277,759,562,204,607,373,429,751,046,898,825,585,249,281,770,254,206,
552,518,417,778,223,469,181,586,657,621,286,302,324,336,928,821,197,739,561,
108,797,894,937,101,121,476,163,993,437,889,166,890,709,764,201,615,799,966,
978,343,511,646,479,126,722,458,383,368,677,107,384,899,594,638,928,202,873,
920,069,703,370,153,876,595,853,571,718,294,259,983,643,381,527,548,607,266,
980,507,499,665,197,587,207,414,230,182,759,164,137,990,875,501,027,603,250,
957,163,334,445,812,223,191,497,064,831,960,149,971,239,064,519,669,437,919,
963,926,946,379,169,531,034,382,867,162,964,149,509,387,916,480,128,337,817,
712,044,845,100,805,421,058,232,146,701,893,118,889,349,017,324,776,869,815,
538,441,328,486,024,239,293,427,730,715,169,664,638,891,085,519,988,815,298,
315,392,836,000,731,575,227,104,399,156,171,772,563,185,606,521,651,975,083,
667,771,770,671,520,383,714,995,693,158,316,532,535,384,147,263,263,425,622,
364,249,590,509,834,773,840,310,951,604,887,807,358,107,373,399,526,841,497,
122,981,366,713,036,867,541,397,676,148,399,939,226,226,538,129,086,045,487,
337,900,684,247,235,276,702,658,428,568,001,298,022,114,936,069,268,277,032,
769,866,303,784,391,248,890,888,798,775,573,443,904,700,516,962,761,245,408,
832,141,427,578,791,027,994,504,931,015,796,302,368,410,808,147,670,116,494,
716,147,136,239,263,565,739,226,189,741,828,895,347,009,723,783,020,863,715,
829,530,730,327,861,750,778,966,198,312,894,960,186,685,849,234,494,987,667,
137,450,794,366,502,464,873,373,651,834,881,822,754,701,486,448,621,257,831,
678,123,106,920,717,344,021,378,583,384,227,655,811,158,378,159,016,520,145,
259,848,648,650,291,744,897,823,794,446,056,942,323,663,415,131,944,589,645,
967,166,147,108,298,817,029,580,114,340,711,337,406,164,919,438,034,884,279,
657,966,195,143,676,709,062,133,210,594,210,265,829,036,913,580,573,732,011,
148,296,263,685,982,668,810,572,959,527,108,945,264,498,069,596,481,769,018,
432,751,679,664,335,137,013,872,182,518,533,264,383,999,534,334,630,723,269,
698,404,579,204,521,663,844,832,177,530,979,455,131,237,460,063,121,772,721,
267,754,239,353,234,969,360,805,033,850,958,442,933,221,431,822,969,070,644,
316,594,190,750,233,143,285,200,277,003,934,401,733,284,355,217,044,952,756,
822,916,033,774,457,190,811,564,122,571,058,511,814,915,688,839,485,351,664,
653,358,707,062,012,978,412,174,187,560,172,349,487,642,500,301,319,977,124,
156,910,649,446,392,105,896,626,501,271,176,103,004,218,355,842,002,966,656,
235,246,034,929,005,329,967,065,285,878,760,712,137,723,970,461,059,057,264,
348,777,315,289,175,803,439,419,466,478,008,581,773,970,373,288,106,802,577,
951,749,859,356,943,866,403,123,000,283,186,098,978,585,207,692,637,073,311,
562,640,340,464,501,812,852,460,269,869,576,354,945,465,542,110,622,415,534,
210,431,234,183,474,839,228,162,548,626,388,101,322,431,504,942,836,687,939,
024,570,152,657,281,075,195,532,425,523,794,801,848,148,869,357,748,050,068,
994,142,115,698,921,356,868,487,068,257,559,310,588,537,268,818,164,910,549,
111,424,177,403,957,587,386,385,924,016,183,800,011,635,831,640,575,376,457,
772,910,909,752,852,215,115,776,455,050,988,082,529,997,788,956,844,326,562,
834,912,804,741,632,743,308,971,505,243,376,140,752,337,185,358,404,157,145,
756,275,760,165,106,361,106,566,466,982,939,580,629,545,660,725,752,972,930,
957,901,926,236,675,757,707,941,508,771,574,387,998,151,082,020,716,591,641,
128,655,369,460,239,100,847,325,139,449,089,154,800,082,718,157,091,058,411,
004,954,172,938,359,988,726,938,490,939,269,503,975,888,641,350,299,607,426,
034,714,209,869,024,872,303,303,223,976,717,779,413,499,487,286,319,140,827,
611,429,388,007,414,228,027,583,740,237,434,651,945,064,349,529,438,606,002,
230,813,531,077,236,153,577,737,584,423,704,720,161,427,378,200,567,887,685,
882,460,686,203,219,707,576,753,869,884,521,221,889,390,858,916,558,856,240,
342,593,795,121,926,617,262,926,013,240,684,609,856,975,186,462,514,165,454,
494,842,176,216,292,106,883,091,404,603,833,741,660,108,717,133,258,047,987,
487,740,145,915,744,285,319,517,682,818,721,272,541,819,890,302,789,628,496,
381,307,210,828,405,317,078,686,794,906,251,432,832,556,617,440,773,422,809,
902,659,372,051,327,769,956,853,114,161,240,559,447,629,446,726,970,601,523,
519,230,310,056,602,422,511,433,744,826,189,731,259,895,438,316,825,190,132,
370,408,647,159,215,655,960,156,492,269,004,059,574,487,218,120,371,327,533,
670,009,505,775,711,863,220,075,564,653,807,298,338,152,188,903,609,595,059,
315,990,799,499,340,087,654,297,997,386,194,729,509,012,330,734,636,801,815,
906,874,268,238,676,345,141,818,199,646,894,165,009,240,240,818,539,105,675,
721,222,380,963,973,869,810,710,073,868,609,163,794,107,138,686,543,850,045,
154,676,568,104,342,813,396,924,781,438,181,613,866,375,333,679,339,727,513,
006,813,913,072,380,619,963,159,052,247,024,085,858,971,859,613,394,712,694,
802,016,686,611,970,780,493,300,564,154,634,677,039,636,888,819,561,076,665,
414,509,625,196,454,242,840,723,722,455,345,609,157,095,512,011,629,787,218,
097,312,728,231,615,577,999,418,519,195,497,725,847,075,091,241,981,334,007,
488,222,364,793,366,754,639,759,413,374,474,735,235,389,088,534,659,617,869,
078,445,068,243,533,571,753,849,194,002,840,477,607,103,239,650,023,374,626,
649,428,011,433,322,590,913,119,227,044,811,808,065,016,547,930,004,317,312,
662,827,291,809,351,216,515,369,908,837,302,371,459,208,252,448,410,469,026,
770,074,593,296,678,594,237,574,161,193,150,170,605,787,614,991,054,875,274,
633,769,292,420,135,590,639,774,834,889,690,670,351,016,031,041,983,852,138,
028,653,981,690,873,912,111,028,836,918,872,688,561,720,030,722,943,664,580,
044,871,493,134,707,777,298,923,668,949,121,747,900,663,791,992,986,599,056,
316,932,470,167,156,519,792,097,022,372,009,723,722,492,523,332,229,681,840,
188,784,735,648,250,911,320,717,866,994,389,286,418,739,041,271,152,324,379,
435,668,380,247,231,492,357,499,030,210,541,911,655,331,793,441,950,611,830,
135,621,787,194,225,023,042,704,187,502,778,422,066,767,279,911,600,556,308,
378,202,227,328,729,272,895,797,021,469,056,496,796,862,880,655,169,938,376,
713,116,089,833,901,699,259,740,182,837,064,903,127,612,952,001,806,732,088,
152,556,542,042,681,425,803,750,168,966,559,862,899,379,680,346,859,481,872,
624,589,220,367,059,677,531,341,295,915,939,235,333,630,140,947,627,897,986,
591,173,628,843,064,121,258,715,703,258,753,398,303,286,143,917,638,678,193,
488,351,400,304,263,923,009,487,941,170,494,392,889,051,723,951,693,566,927,
494,725,329,180,877,307,151,612,873,795,457,747,567,386,753,929,004,656,748,
351,857,302,653,866,191,363,454,498,427,697,066,282,182,907,687,762,923,924,
919,856,906,249,897,506,273,359,650,690,408,408,219,422,657,695,699,901,002,
833,097,888,336,631,476,040,666,510,075,214,795,028,560,066,649,762,341,513,
250,541,436,883,877,575,312,837,936,156,142,051,734,246,841,924,609,326,197,
803,121,786,723,009,304,400,462,511,614,205,220,622,621,517,251,392,875,755,
879,232,129,420,385,787,858,193,096,267,667,153,784,173,449,272,668,029,612,
764,475,463,823,731,906,274,663,354,866,725,506,963,365,777,018,919,963,383,
546,104,083,555,909,032,734,197,560,616,059,720,111,517,027,943,482,231,485,
389,139,162,238,048,911,568,523,877,523,535,498,111,643,366,492,022,180,361,
441,127,299,004,825,866,537,633,090,410,085,236,540,161,396,226,353,801,109,
317,206,064,053,563,977,641,532,306,482,590,828,664,054,814,927,174,248,104,
657,115,391,554,675,113,361,837,692,331,469,426,014,098,177,925,432,026,046,
493,806,001,938,392,646,799,474,966,532,922,840,534,472,654,957,050,937,713,
841,626,510,510,505,075,422,244,210,271,429,387,161,284,406,500,692,321,327,
380,719,352,235,417,709,055,007,510,962,709,973,264,231,161,108,074,127,563,
265,933,242,418,688,674,206,854,356,755,564,789,998,686,174,398,823,604,177,
380,960,869,926,274,222,799,976,446,395,443,390,228,939,262,772,396,313,308,
704,318,582,989,208,022,095,222,821,508,725,171,295,740,688,760,630,833,450,
349,266,095,411,061,564,495,154,500,859,526,098,647,598,083,422,446,955,590,
235,422,263,217,499,501,098,274,700,373,455,254,256,353,094,589,317,612,219,
171,658,758,408,252,012,013,948,516,255,986,897,235,350,495,164,022,801,303,
049,472,407,876,405,513,957,985,928,624,270,347,820,243,921,982,008,671,852,
125,902,815,184,903,971,280,177,445,434,921,377,550,314,741,024,627,311,591,
563,721,634,023,327,756,965,263,965,943,937,912,841,688,354,197,190,345,746,
398,908,495,632,197,357,406,893,051,260,594,986,980,338,614,363,050,212,816,
338,187,710,594,820,665,364,207,044,137,430,240,833,262,334,687,483,744,100,
983,325,845,144,805,795,866,244,654,064,882,602,817,395,104,632,710,525,321,
258,846,856,632,555,469,496,816,403,852,435,099,516,966,378,251,611,365,024,
619,569,338,967,138,718,394,687,605,407,134,281,691,355,312,086,813,154,505,
355,515,528,375,049,133,298,269,711,664,617,136,002,494,644,692,637,205,416,
467,684,924,780,008,258,123,285,430,988,639,680,030,212,209,083,825,415,657,
890,880,132,658,896,572,420,473,211,752,126,283,820,186,108,986,532,238,262,
600,774,607,583,627,267,028,657,370,855,829,191,448,069,122,883,201,974,812,
555,274,431,558,842,256,362,859,050,431,326,551,692,633,589,312,031,892,171,
900,229,316,020,793,394,323,032,141,008,895,314,578,792,909,331,768,345,943,
700,674,956,463,003,539,736,726,162,006,187,855,343,252,343,261,944,643,824,
379,655,055,003,153,425,944,337,402,570,841,428,556,410,432,463,361,740,975,
160,329,761,159,160,262,847,482,704,954,418,991,024,659,439,223,050,720,173,
190,163,662,201,828,904,841,999,127,796,906,963,452,724,032,559,038,304,058,
642,621,825,698,474,933,309,456,455,201,844,466,048,913,627,146,747,274,634,
420,920,512,174,239,947,186,863,517,418,035,277,614,043,675,392,843,586,625,
416,106,457,288,297,217,284,128,006,300,766,778,154,649,229,676,933,125,597,
038,383,505,129,628,715,611,311,278,204,211,481,487,609,267,462,495,220,298,
234,858,242,820,153,733,342,955,988,951,213,145,494,794,507,176,909,663,519,
498,223,379,358,138,970,396,212,792,228,269,915,456,631,961,185,402,466,818,
350,196,308,277,192,367,023,072,153,124,141,546,452,325,703,052,554,970,823,
249,348,959,657,914,459,084,711,732,991,807,723,921,768,802,021,078,435,517,
900,695,801,973,382,848,934,277,867,875,329,219,528,560,443,274,370,027,827,
007,615,252,391,002,443,344,291,648,972,202,489,216,754,929,520,415,778,593,
806,674,241,262,481,580,819,170,544,959,875,979,984,810,248,731,737,755,812,
332,067,029,706,218,174,357,873,486,685,124,528,362,904,487,636,356,648,051,
909,794,776,068,115,629,301,686,663,345,311,452,394,943,194,975,139,052,678,
378,209,794,268,597,636,943,118,605,237,221,402,748,921,067,108,101,893,649,
361,523,915,230,885,281,018,663,666,631,157,254,996,972,158,029,576,796,751,
115,838,373,775,084,328,214,609,234,170,983,681,723,040,521,335,201,261,718,
160,474,881,933,649,759,531,924,601,497,794,658,000,256,058,545,634,657,108,
126,587,078,932,640,405,326,286,582,107,085,080,280,248,396,002,997,922,234,
982,375,436,210,445,912,104,729,523,730,159,381,111,849,429,023,693,074,096,
012,872,319,407,605,827,584,753,574,166,741,891,188,587,561,124,805,645,719,
494,049,131,080,651,867,833,429,675,225,682,290,911,666,215,622,334,058,784,
171,526,872,649,059,699,759,075,722,756,569,753,604,563,253,337,589,499,784,
919,511,768,821,476,877,325,366,294,560,087,861,946,053,285,719,920,950,605,
609,057,243,179,143,060,323,900,495,354,778,361,109,011,804,241,894,569,887,
259,826,517,083,498,545,240,911,032,795,755,375,016,303,967,725,923,008,555,
934,338,596,370,759,574,051,529,261,960,194,452,383,593,295,370,150,934,102,
399,598,534,041,717,723,454,184,430,778,844,782,576,609,594,329,787,058,124,
427,223,186,424,924,386,003,590,542,571,401,639,492,586,140,345,797,426,090,
239,514,355,820,170,021,362,162,087,682,226,984,542,926,016,172,254,681,285,
324,496,065,251,659,711,526,743,512,733,380,820,736,844,701,942,004,394,229,
535,662,992,433,868,265,933,104,073,853,530,598,342,681,956,692,567,553,166,
781,042,408,499,112,752,083,359,071,240,815,176,905,351,521,511,452,124,970,
360,007,486,278,599,951,692,166,092,799,875,192,729,774,730,033,412,668,193,
550,206,525,370,911,036,833,342,920,867,461,447,662,249,514,064,692,824,500,
402,206,206,862,177,720,648,229,276,593,222,826,191,094,590,454,763,825,967,
019,052,044,037,334,784,361,690,443,506,603,893,620,865,970,201,534,148,358,
404,583,532,827,856,639,156,593,925,422,642,337,548,811,399,670,464,195,403,
237,045,228,833,689,690,989,403,601,302,906,875,535,451,520,879,157,208,502,
678,398,718,222,010,152,497,297,942,510,240,953,102,729,021,304,185,010,960,
176,160,672,777,258,021,761,076,235,469,048,031,124,513,558,134,204,735,166,
681,313,092,022,379,736,627,902,094,189,829,594,753,264,961,679,928,843,536,
820,183,280,835,906,971,398,988,759,431,410,089,844,443,651,845,195,085,787,
155,401,847,851,717,169,184,348,081,613,259,903,647,726,761,767,302,442,398,
572,861,328,880,016,122,881,571,443,694,798,289,986,446,444,552,330,647,418,
612,999,995,229,314,304,090,886,293,125,952,978,660,589,712,423,408,914,305,
350,389,186,438,135,419,067,427,369,548,003,137,789,215,827,594,274,489,505,
327,294,254,840,501,102,343,352,104,844,006,993,806,673,083,330,322,587,673,
632,856,021,872,583,628,442,543,790,932,014,667,971,571,929,662,709,212,165,
023,453,264,064,774,195,672,419,762,706,887,466,354,784,491,289,928,504,206,
713,876,930,367,277,350,614,500,365,307,862,168,179,577,154,595,401,303,697,
112,789,051,656,034,800,799,703,392,833,821,775,792,599,832,803,424,987,387,
408,024,442,784,710,150,300,601,935,822,696,250,030,892,554,086,793,197,648,
944,746,911,655,779,278,313,169,183,596,999,135,147,940,171,483,429,969,160,
569,522,952,992,857,469,487,283,674,047,921,248,538,231,786,777,235,864,354,
223,075,219,237,845,502,748,265,815,470,484,487,029,949,574,943,703,817,703,
368,423,520,352,842,626,883,975,354,728,107,120,909,981,556,720,459,367,203,
976,661,223,375,352,857,276,195,522,275,911,900,112,336,160,375,618,055,488,
945,310,736,148,213,294,041,570,249,745,277,249,720,980,275,041,718,904,900,
985,363,258,397,365,624,005,070,051,256,111,072,052,495,698,561,907,526,479,
985,063,385,933,466,121,732,315,337,768,374,096,667,466,011,287,378,164,168,
617,875,452,682,220,738,433,400,421,470,936,195,818,801,705,496,833,000,874,
334,669,484,590,600,710,451,547,498,024,244,068,018,019,965,944,287,727,782,
899,627,091,404,239,641,076,937,933,119,764,243,425,378,982,476,292,779,374,
611,483,962,786,996,200,703,044,972,642,167,693,257,632,444,296,711,878,128,
279,301,168,705,646,994,949,458,971,498,180,656,713,677,414,884,299,855,928,
974,843,495,970,169,860,884,750,075,135,659,491,769,754,487,755,998,570,457,
425,799,588,682,131,947,618,197,178,456,697,184,024,880,034,679,795,135,296,
460,951,892,156,024,382,907,195,005,884,094,167,215,287,524,780,895,771,571,
192,037,369,068,577,863,526,710,001,077,825,897,249,443,983,792,719,879,825,
607,081,204,141,108,993,522,257,675,219,159,567,419,119,548,010,563,638,539,
768,012,212,783,023,903,049,341,138,523,259,376,354,767,144,861,140,673,032,
606,451,747,017,049,789,414,436,601,762,365,601,077,487,552,805,775,231,247,
425,467,927,499,806,286,827,254,994,986,076,187,932,261,290,447,535,104,320,
828,244,357,709,188,559,749,769,941,992,682,106,296,431,795,469,643,216,839,
172,418,186,859,722,085,611,398,318,355,253,420,762,802,205,919,699,547,458,
628,319,338,101,028,372,503,993,504,744,664,712,000,669,676,124,850,166,090,
292,426,872,186,130,732,529,373,432,510,024,193,271,461,466,858,788,922,643,
252,836,046,678,365,285,980,661,247,264,890,084,235,874,401,696,432,572,389,
270,651,435,537,196,626,133,735,667,171,653,371,922,572,084,244,423,073,507,
626,285,922,305,166,418,403,748,709,537,782,040,615,169,005,557,114,911,239,
244,072,942,030,828,669,018,274,213,996,190,716,590,659,680,078,212,671,202,
463,491,531,039,329,405,113,800,028,233,951,555,635,491,846,385,868,298,383,
089,968,155,162,060,097,619,873,716,853,843,782,412,255,343,107,636,425,675,
260,774,019,275,831,086,799,977,044,800,800,129,746,869,361,094,605,056,953,
936,927,644,800,954,682,816,885,349,511,013,014,922,749,551,787,607,988,597,
725,533,598,300,250,965,651,057,888,176,552,854,796,562,458,580,686,904,169,
035,987,610,409,624,599,793,545,713,099,768,260,323,230,508,287,346,346,663,
438,079,787,699,526,832,962,043,985,395,950,518,293,951,878,363,149,892,654,
764,869,611,985,037,584,871,150,737,691,336,627,526,515,153,419,127,317,344,
296,597,041,639,595,148,114,879,551,362,429,441,440,398,314,616,209,085,104,
725,902,685,301,021,070,535,356,165,701,256,437,218,114,172,300,080,478,619,
024,556,362,415,567,965,461,143,653,777,687,386,341,740,518,394,676,804,813,
362,399,984,385,470,299,860,586,612,524,592,568,406,180,112,568,626,807,852,
315,569,414,238,822,743,451,173,456,833,875,522,008,300,828,753,033,284,119,
293,582,835,752,871,858,117,461,888,519,421,288,705,550,548,575,272,829,982,
045,644,793,094,515,334,964,083,911,237,682,160,556,694,058,511,741,939,337,
974,707,666,199,362,407,298,205,322,298,881,655,363,253,573,215,359,318,428,
568,786,655,846,761,117,170,869,759,072,218,077,557,897,250,141,696,927,694,
316,321,522,126,721,249,169,917,212,104,033,342,418,516,579,456,027,957,432,
498,605,171,423,446,007,915,940,433,633,683,826,001,245,327,960,474,665,164,
236,681,485,963,253,050,700,284,998,581,541,605,749,719,383,696,409,137,156,
961,974,638,685,169,999,485,589,665,467,347,816,912,419,604,449,281,199,234,
147,145,404,140,639,000,016,683,341,325,290,015,832,642,909,119,136,722,119,
056,155,162,146,524,778,146,749,740,172,496,853,846,584,653,039,143,889,772,
547,845,998,289,165,521,991,044,207,260,372,668,792,666,361,235,935,745,031,
269,727,999,113,704,553,292,075,136,953,927,285,962,934,363,962,948,127,491,
145,429,219,557,972,604,534,786,478,690,960,986,400,837,400,543,072,985,773,
764,688,883,604,711,344,021,552,866,129,206,821,907,861,235,784,851,835,158,
227,142,711,331,533,934,264,348,387,845,414,665,817,232,248,702,004,073,752,
993,677,023,939,737,244,276,782,327,612,579,988,867,029,034,301,286,454,002,
569,463,668,194,740,002,527,887,496,690,217,896,493,632,800,262,121,124,547,
887,329,408,021,747,614,325,714,019,290,510,816,520,087,012,057,282,599,531,
942,289,437,564,375,384,957,716,871,541,217,731,433,388,944,398,315,890,765,
260,868,392,070,897,896,613,273,080,137,089,493,223,728,501,773,521,970,683,
761,992,743,413,671,098,951,575,456,254,541,522,131,388,918,986,368,378,210,
377,746,985,691,172,905,461,130,211,438,054,865,626,733,100,758,956,994,423,
727,763,844,567,709,978,031,324,776,978,200,021,210,142,024,429,649,995,978,
708,734,354,738,809,541,201,394,383,715,399,780,355,896,062,978,043,858,602,
879,626,158,223,927,394,706,371,769,430,137,245,539,395,003,634,891,159,637,
586,427,406,728,110,876,647,381,501,485,623,029,475,479,605,144,166,571,780,
852,051,758,639,781,538,841,186,422,193,762,941,101,954,768,507,217,962,011,
605,831,808,544,958,549,356,555,014,918,537,715,553,128,027,078,059,322,708,
629,205,337,973,899,452,612,230,282,251,133,296,338,189,400,082,385,796,045,
749,520,186,996,563,315,443,281,415,859,480,143,624,058,590,248,157,123,391,
168,128,728,765,522,174,905,301,747,867,994,259,466,483,188,586,133,358,620,
500,085,733,381,416,014,466,120,146,706,274,118,151,592,218,613,756,422,354,
913,127,441,039,666,149,508,194,265,017,196,715,626,946,334,366,958,218,072,
523,069,779,310,113,923,021,099,426,680,115,450,054,391,797,537,365,124,445,
531,603,453,289,008,082,506,220,336,867,913,588,125,527,855,196,435,429,610,
450,231,590,500,193,997,948,671,216,490,292,076,368,351,398,935,271,875,972,
426,828,497,333,417,499,436,897,245,607,036,280,605,230,616,543,525,309,342,
942,851,947,016,136,828,136,297,397,987,517,057,925,193,549,272,548,597,886,
237,835,198,520,150,026,491,448,271,797,048,400,605,318,182,002,810,618,707,
070,270,088,377,690,428,532,953,771,691,353,428,166,125,965,059,883,151,709,
379,517,654,457,339,726,937,011,589,390,631,021,744,630,754,525,000,868,858,
285,106,722,786,474,761,615,402,179,996,248,499,381,074,042,054,645,312,244,
265,219,831,297,390,550,307,186,740,981,048,579,776,943,491,842,222,418,423,
369,933,783,569,347,090,075,798,379,911,311,735,063,303,110,975,292,816,860,
317,722,558,617,523,950,439,874,153,854,866,451,492,062,441,381,602,055,899,
053,519,021,394,994,703,448,166,753,471,060,819,360,023,437,587,300,927,556,
759,227,569,458,119,272,055,794,257,800,514,337,426,814,459,784,702,186,556,
042,545,873,579,201,408,555,043,282,918,717,259,101,410,391,754,687,004,142,
872,147,475,331,221,910,464,351,683,985,030,708,238,673,251,687,014,096,116,
226,945,007,992,336,710,480,755,362,956,863,732,385,018,790,549,756,838,262,
498,548,714,910,574,650,116,699,052,715,724,553,995,354,218,291,484,186,438,
159,601,761,974,527,276,228,667,417,587,873,133,947,860,821,432,029,623,848,
291,145,645,800,712,334,769,174,414,800,599,459,330,192,413,576,358,084,617,
620,739,882,955,888,066,384,883,372,030,640,010,450,889,000,165,207,710,590,
660,154,829,888,764,783,681,995,491,306,134,178,701,233,231,335,423,302,073,
293,874,835,255,337,027,127,744,585,870,369,926,915,349,463,556,775,073,711,
566,144,208,056,802,430,478,321,725,836,397,528,502,474,979,465,430,625,490,
548,547,095,727,744,247,103,772,851,087,858,114,992,867,411,568,187,758,826,
892,158,656,848,221,326,834,868,623,456,320,237,085,610,270,126,142,697,970,
366,625,933,776,632,803,918,132,476,786,730,640,248,444,423,755,694,442,948,
149,972,787,713,556,443,373,175,015,699,001,486,072,086,378,229,621,402,663,
357,336,299,662,563,927,867,969,451,082,012,851,807,690,633,941,645,986,090,
763,888,143,106,001,429,884,216,364,057,924,881,108,784,343,557,971,084,359,
343,381,972,563,172,776,252,898,168,793,701,202,393,368,239,547,133,588,550,
027,140,436,350,390,829,036,720,427,709,612,413,334,239,869,812,770,786,207,
363,305,778,051,517,767,171,512,571,617,235,850,862,043,019,666,117,289,593,
364,541,600,604,797,432,953,499,058,631,870,637,892,102,861,804,233,229,175,
327,194,575,488,437,331,407,559,772,916,560,781,487,182,095,630,885,100,359,
213,230,941,826,970,393,976,031,188,468,700,728,146,800,174,707,704,303,692,
469,491,460,003,700,592,094,817,784,337,928,050,149,021,418,694,480,264,764,
978,979,108,416,490,582,293,940,729,993,532,784,980,043,561,304,133,035,654,
981,642,815,582,799,203,268,639,038,220,688,996,124,708,532,825,194,968,915,
113,924,546,847,609,833,485,666,545,145,328,810,692,417,888,226,994,541,899,
997,513,672,671,831,780,907,179,393,322,255,204,118,601,829,404,886,436,006,
350,266,127,817,159,809,255,613,209,369,452,845,499,170,972,600,133,211,816,
395,870,981,185,243,594,533,046,912,680,913,994,048,210,545,799,908,462,586,
589,070,007,384,171,746,713,399,653,547,336,938,745,319,038,866,456,574,990,
243,000,049,260,441,211,901,151,950,655,092,325,423,201,304,762,133,360,758,
717,242,995,661,257,363,801,618,658,095,354,020,680,214,802,205,554,699,842,
661,500,471,024,644,350,173,484,159,527,063,199,410,689,136,718,036,331,852,
569,863,919,027,145,472,603,489,616,354,938,071,953,259,741,422,436,864,618,
210,695,194,758,944,511,123,781,946,811,073,166,239,368,439,330,610,230,159,
449,093,841,308,881,823,345,588,256,211,768,111,253,293,067,680,856,977,935,
517,962,180,324,937,601,376,729,544,636,034,475,624,401,873,498,931,880,269,
806,010,096,884,142,611,678,723,368,057,594,092,275,355,057,968,903,042,770,
086,501,679,196,111,161,026,219,819,300,430,149,583,855,953,239,911,850,019,
258,723,335,227,853,356,940,608,860,017,258,515,583,944,322,663,605,555,466,
588,669,424,643,055,538,352,294,490,258,378,557,487,193,510,129,339,988,382,
018,490,636,613,631,363,120,020,002,058,129,281,286,650,226,124,479,523,850,
717,207,036,563,554,865,697,078,311,795,847,387,588,214,889,600,116,625,441,
484,575,012,786,179,052,616,650,792,037,708,019,688,613,518,917,786,509,877,
877,438,985,759,542,700,289,816,637,127,493,272,682,042,870,752,023,041,486,
816,458,469,891,308,599,295,627,664,275,734,424,273,266,408,149,164,287,809,
907,968,095,044,031,191,417,042,518,554,772,100,535,040,673,664,357,360,525,
264,877,672,372,242,340,170,116,494,911,362,669,945,602,188,619,232,031,246,
804,668,289,567,790,575,687,159,569,627,030,212,387,861,974,101,379,313,074,
267,262,176,398,284,842,782,960,761,613,932,330,192,434,809,282,466,672,922,
714,710,976,851,980,427,174,738,065,754,289,773,580,869,192,546,412,961,932,
645,261,353,240,312,717,387,269,330,533,542,855,143,064,997,749,128,004,491,
813,809,991,491,396,860,603,116,834,291,358,894,599,361,608,684,287,436,765,
005,145,259,386,625,627,279,259,934,906,377,160,882,251,088,298,255,772,701,
459,907,870,081,108,988,434,711,906,197,518,300,543,681,059,106,625,647,450,
904,614,533,316,822,397,608,782,473,093,586,806,327,618,943,430,867,689,627,
898,487,319,667,228,260,298,396,629,825,433,698,974,528,320,940,916,437,995,
885,429,203,985,927,447,731,136,638,587,686,038,110,044,809,000,302,476,766,
362,848,800,221,176,506,732,776,476,117,693,129,586,956,457,120,775,088,627,
784,870,542,575,515,164,003,098,139,246,148,618,222,635,574,439,481,765,488,
805,059,757,065,330,040,069,487,780,867,722,161,497,385,234,759,552,807,354,
405,517,348,066,867,984,168,128,113,544,670,367,409,121,709,931,901,502,080,
710,183,326,469,761,135,850,270,588,445,021,208,499,067,365,810,988,316,884,
242,891,677,834,945,433,514,558,879,685,605,712,071,826,024,592,593,362,371,
850,944,161,820,713,527,495,589,975,964,722,419,695,109,603,705,365,351,696,
493,191,119,992,232,719,742,007,652,507,437,292,419,294,716,400,199,333,927,
725,554,642,946,885,683,118,607,377,280,503,551,024,889,691,963,493,899,891,
561,585,021,759,130,332,446,265,044,085,886,049,337,320,626,390,040,728,714,
052,646,438,714,647,412,179,692,068,310,300,524,276,533,822,838,512,992,088,
224,241,631,157,691,584,306,921,342,458,773,179,002,227,956,489,255,072,430,
063,162,731,014,235,480,806,126,010,372,841,218,208,869,164,895,423,627,870,
448,119,899,983,832,322,037,633,882,255,199,086,349,810,740,418,128,425,900,
307,355,665,127,267,563,193,162,839,226,637,017,324,928,919,659,638,530,849,
672,790,597,602,234,175,177,800,167,284,893,897,494,510,101,878,637,810,472,
531,259,472,968,069,349,330,860,024,704,726,666,621,758,207,353,461,428,217,
019,050,069,442,296,627,559,505,261,627,013,628,829,500,823,266,866,279,926,
850,524,583,068,828,033,099,415,975,911,406,744,678,408,510,302,978,460,242,
479,558,148,575,113,025,486,233,923,514,389,071,740,338,909,910,467,446,277,
889,828,351,481,532,609,779,290,598,533,005,510,848,476,883,607,777,698,765,
005,631,513,342,201,635,455,122,764,729,169,715,342,994,910,652,803,739,165,
196,847,260,921,274,129,258,488,938,135,533,391,376,641,566,518,800,844,658,
906,793,202,832,503,927,567,302,612,127,365,653,120,624,974,576,427,005,752,
050,603,865,055,153,803,057,604,135,807,739,563,755,761,683,073,148,728,374,
398,579,629,953,333,910,481,894,617,974,539,142,599,054,603,362,212,697,006,
234,394,131,608,697,642,623,521,165,001,004,521,476,636,636,062,157,984,756,
583,956,732,534,052,054,726,586,238,899,319,514,210,487,225,328,781,166,248,
241,482,500,268,523,522,365,221,690,868,989,429,997,940,541,466,078,056,606,
761,826,303,237,331,420,364,984,215,598,169,941,229,670,507,304,977,679,555,
712,992,986,338,633,823,852,041,643,013,224,489,178,702,662,191,210,747,549,
465,592,423,837,259,460,060,246,517,199,397,153,700,308,051,648,139,272,878,
978,981,760,958,813,165,334,649,315,146,194,894,580,897,183,860,343,848,497,
896,780,898,675,031,297,975,043,970,597,854,089,558,565,164,427,278,350,735,
238,154,394,820,874,937,530,328,285,061,837,262,597,996,237,154,420,175,407,
160,487,287,093,043,172,402,950,078,867,453,240,250,976,925,328,206,147,157,
428,683,598,480,458,752,838,196,896,740,692,923,465,787,444,744,655,249,262,
231,536,072,913,244,641,683,781,498,085,600,385,955,940,845,767,423,929,635,
033,898,686,061,364,619,151,642,453,213,760,398,326,961,648,422,894,497,016,
678,132,543,330,676,699,271,936,425,443,231,514,160,771,026,117,285,875,832,
210,382,688,970,250,396,430,113,931,786,476,166,578,825,982,819,019,707,773,
373,046,010,371,116,954,568,286,739,634,586,605,290,008,325,002,074,441,243,
809,023,173,260,004,716,430,474,136,018,485,774,251,165,782,020,834,386,992,
569,366,565,893,789,790,841,040,005,551,705,892,269,546,269,937,701,802,631,
158,137,519,339,254,675,022,334,596,593,588,663,069,650,337,843,081,954,000,
792,121,290,008,723,056,292,795,013,628,296,756,815,343,589,218,453,361,293,
145,769,530,816,369,355,712,931,266,426,104,310,089,017,123,762,182,457,055,
266,053,605,411,936,689,855,131,932,978,382,303,444,435,899,350,942,690,191,
468,518,248,464,582,838,645,077,027,244,089,396,960,464,790,335,047,261,016,
467,072,704,165,793,294,519,935,570,836,366,225,921,792,332,831,815,432,243,
573,435,492,766,274,790,353,827,899,878,799,320,778,545,698,964,195,771,871,
761,702,213,787,778,465,367,308,019,899,889,023,339,070,492,738,150,768,063,
089,591,217,795,738,302,873,057,421,191,787,515,129,022,732,094,846,593,983,
828,634,326,331,113,094,866,318,388,342,528,735,231,520,065,904,868,499,583,
399,820,507,825,017,687,116,919,533,020,022,740,745,082,813,649,334,363,060,
401,175,545,119,811,472,492,541,315,049,433,868,814,417,120,657,723,184,567,
998,522,414,762,959,779,127,585,297,214,983,634,397,233,439,326,606,496,358,
642,020,356,394,090,920,769,853,760,461,601,718,978,632,297,914,323,939,590,
278,184,595,677,851,970,204,296,278,477,214,102,957,063,869,276,070,816,631,
337,352,662,075,477,595,739,656,398,115,405,137,403,495,941,454,828,416,389,
444,145,354,740,651,345,500,293,027,865,306,546,588,998,250,888,658,834,325,
789,522,454,959,924,687,280,161,018,985,957,655,443,559,943,699,400,960,193,
176,342,663,619,109,035,878,293,505,293,847,030,130,069,312,593,616,428,188,
975,066,383,845,699,040,366,045,878,422,223,773,864,424,566,232,468,188,101,
167,051,874,215,627,683,504,841,866,334,250,408,464,131,571,575,645,092,830,
896,567,332,041,766,276,383,456,582,159,543,258,013,106,772,770,425,152,688,
361,370,025,914,402,578,641,225,833,600,042,318,769,869,971,544,703,388,908,
059,140,716,360,751,241,514,792,410,403,276,580,723,688,774,033,003,866,231,
858,576,935,273,269,464,533,795,415,103,429,701,336,559,731,253,397,246,332,
199,844,225,555,333,532,130,411,993,655,917,554,859,802,146,895,675,390,073,
295,526,607,581,246,956,954,834,384,415,378,393,382,084,301,079,655,990,126,
836,760,816,809,653,997,904,482,445,799,901,777,531,048,784,113,408,914,479,
248,798,673,231,938,971,929,225,131,352,807,431,317,844,250,763,732,073,959,
360,205,610,202,021,226,458,838,796,829,637,946,124,780,363,022,954,609,929,
286,809,543,663,834,376,040,846,318,260,928,665,646,883,237,462,125,243,272,
751,267,670,513,754,792,311,212,775,187,403,327,943,407,244,159,890,541,173,
065,261,887,485,398,756,893,581,209,988,274,245,883,954,993,805,120,841,633,
097,256,551,650,874,265,505,393,373,195,446,592,468,736,276,501,247,187,066,
354,104,802,340,675,700,544,146,435,671,857,330,075,767,182,137,930,408,693,
512,113,664,351,494,082,212,662,699,411,589,611,150,402,753,105,234,318,961,
095,218,718,357,040,219,572,071,924,078,645,079,918,816,263,553,800,044,175,
493,455,131,470,886,376,715,730,513,448,621,641,068,327,968,007,939,195,606,
347,220,062,855,195,692,389,698,985,640,474,611,130,376,410,285,244,187,456,
326,952,363,290,566,270,277,593,533,395,354,207,351,447,351,863,848,405,239,
979,269,019,476,708,965,763,462,326,656,540,911,490,679,337,198,255,232,001,
909,516,419,408,242,510,373,668,423,041,888,074,864,397,195,732,400,088,977,
661,668,518,707,962,408,239,491,714,044,818,378,483,202,099,099,537,658,003,
381,718,760,982,184,683,317,625,088,571,304,282,343,609,627,263,240,678,130,
133,972,640,121,309,178,075,012,401,059,048,078,073,384,002,188,289,306,549,
771,735,131,290,362,456,126,294,361,480,475,924,532,877,219,419,400,304,072,
796,241,283,669,690,473,834,707,323,063,218,143,870,438,502,478,686,072,520,
719,616,965,881,063,222,505,172,371,204,306,922,413,088,985,628,033,121,569,
310,950,569,300,483,657,135,382,588,920,931,911,433,878,962,777,976,837,665,
654,222,807,389,359,074,249,108,531,124,330,176,877,085,892,629,271,035,828,
096,741,914,832,713,347,536,367,064,448,178,245,532,469,888,206,109,973,207,
432,586,650,408,194,005,776,102,670,084,935,924,261,698,063,739,100,162,284,
595,033,080,398,150,143,127,276,721,508,597,637,892,664,571,115,402,440,008,
474,121,381,031,837,668,829,581,982,527,617,949,096,605,996,910,721,826,588,
935,715,057,909,565,409,689,687,864,777,086,845,376,052,329,567,473,102,470,
261,135,152,301,038,313,140,093,111,636,536,060,651,759,726,132,518,017,145,
015,697,203,652,405,250,097,926,454,863,006,837,792,530,746,075,648,828,079,
181,994,940,345,943,138,721,587,316,494,970,544,203,856,362,671,981,456,023,
938,737,499,182,558,524,938,172,909,034,776,167,232,142,651,474,108,103,466,
718,128,679,382,862,061,072,208,752,730,355,307,557,955,277,919,932,717,149,
832,524,798,812,486,869,697,471,318,470,512,056,769,468,186,338,166,382,937,
612,213,352,094,454,539,194,049,987,455,439,293,110,149,916,979,126,675,870,
726,158,205,045,516,754,837,376,167,255,787,494,312,300,517,354,330,109,707,
994,955,577,182,944,686,729,105,006,187,575,070,230,174,155,255,170,730,281,
491,462,102,805,795,050,866,808,917,542,159,620,825,754,569,108,789,972,040,
886,592,057,364,861,636,022,332,771,997,018,463,146,918,201,236,408,253,136,
007,954,749,849,509,693,461,769,487,558,032,025,769,885,875,194,551,425,184,
920,497,889,082,636,589,291,198,269,759,074,968,388,315,059,291,365,588,408,
467,158,279,928,148,989,571,944,331,102,763,024,226,506,100,481,945,172,300,
195,579,031,015,186,724,795,266,825,957,655,013,823,775,726,888,476,665,420,
902,454,876,150,555,189,324,661,783,463,483,997,336,506,934,229,581,015,373,
731,125,156,937,815,828,555,521,760,249,003,746,084,873,020,885,616,968,707,
527,559,772,077,033,202,331,287,603,370,491,590,580,156,749,963,190,424,047,
665,865,919,925,277,347,365,587,190,120,775,997,538,529,113,814,096,889,703,
779,554,377,369,889,741,696,295,428,964,002,154,091,046,373,779,144,878,116,
921,329,338,738,130,436,333,128,383,314,717,296,675,399,442,765,445,173,528,
607,119,517,027,293,703,229,159,296,069,925,347,264,666,591,257,199,696,234,
977,594,629,166,243,048,555,910,009,847,101,757,692,759,098,671,245,681,503,
751,471,723,603,197,861,463,525,504,981,749,100,355,210,724,478,616,723,666,
702,750,016,178,848,919,452,397,917,086,933,040,667,527,359,566,183,875,002,
479,580,208,559,547,643,920,338,377,623,489,992,280,357,188,042,090,807,524,
925,268,988,370,611,282,040,569,509,890,488,748,756,809,373,534,944,965,772,
591,961,751,832,084,507,831,848,042,096,708,626,309,640,243,667,455,110,485,
586,756,644,530,086,480,122,956,566,550,218,663,613,856,434,368,434,214,457,
121,065,221,983,185,057,712,567,990,387,415,724,720,930,166,832,052,924,920,
511,063,293,528,828,476,156,616,063,495,256,889,144,168,098,690,435,289,333,
706,618,362,684,568,117,637,312,537,552,685,826,479,580,032,075,616,509,025,
863,849,854,089,473,070,012,862,289,731,812,683,617,896,085,205,934,815,357,
814,413,172,434,632,705,840,442,878,187,669,064,760,450,352,081,358,350,720,
460,489,156,444,818,102,445,554,947,668,954,144,972,642,532,186,895,031,424,
705,976,806,774,465,759,123,934,068,756,788,668,902,376,985,844,975,266,563,
732,248,037,814,832,514,963,020,325,053,536,103,905,327,851,921,713,036,944,
744,753,876,872,475,188,360,176,239,431,101,464,301,652,293,851,590,151,978,
094,981,313,780,872,904,821,813,424,679,183,881,420,785,524,739,391,143,276,
474,954,202,435,973,837,478,917,018,719,888,704,708,472,602,024,834,350,733,
446,776,058,112,283,211,857,259,401,320,126,381,491,639,858,351,639,030,397,
348,567,362,816,692,176,957,761,251,268,462,376,611,558,721,861,876,508,812,
733,972,858,947,522,705,922,621,152,974,559,292,023,483,050,619,683,227,700,
343,464,597,620,963,663,045,726,973,056,542,628,330,155,676,807,865,616,216,
956,938,697,648,798,725,645,868,251,864,220,499,456,922,576,846,528,571,756,
418,591,763,315,781,102,289,964,775,401,362,454,140,671,770,738,235,916,494,
132,969,457,879,584,784,776,808,548,245,070,249,789,372,308,320,444,432,409,
176,139,748,187,574,436,944,159,843,025,805,565,332,524,862,884,868,000,636,
432,710,294,705,684,311,058,407,800,360,755,164,831,184,323,575,516,850,947,
516,399,932,220,185,260,123,876,897,644,775,982,759,568,349,548,597,148,184,
300,918,468,886,394,305,412,728,482,089,322,505,152,294,067,111,174,336,353,
108,946,601,006,937,856,598,702,101,891,289,388,111,273,714,262,869,959,959,
204,720,436,494,975,699,237,194,232,504,820,523,137,974,346,108,098,996,670,
194,004,542,456,189,948,780,869,761,234,334,552,750,292,064,854,000,970,946,
178,163,088,469,326,192,690,396,107,812,364,139,444,210,424,660,856,144,126,
979,135,233,160,468,488,802,562,894,589,805,725,097,778,111,318,245,892,192,
531,450,866,175,431,003,753,494,397,442,680,715,430,824,628,999,773,026,930,
264,145,352,579,369,747,883,856,565,167,981,489,385,203,010,527,693,606,440,
210,005,649,702,411,950,808,751,674,559,603,757,295,634,911,532,487,182,109,
075,804,677,224,325,201,152,253,712,211,413,455,332,115,448,098,308,977,325,
256,789,451,092,003,890,479,559,930,637,906,840,749,507,679,902,785,763,867,
806,279,351,952,215,565,484,247,537,758,074,206,338,843,049,294,895,111,116,
669,454,853,937,888,603,153,016,032,839,580,766,498,268,557,852,347,883,058,
577,753,777,923,343,641,919,056,849,670,049,310,204,452,030,447,378,362,291,
249,153,412,137,573,531,927,930,595,697,967,796,173,782,255,675,051,152,554,
740,520,905,258,858,503,235,342,769,495,710,706,880,671,743,950,886,883,200,
559,553,606,493,153,905,261,680,466,217,793,050,106,253,575,410,545,706,113,
299,951,726,359,236,162,695,671,899,726,100,778,943,218,812,346,911,721,201,
664,746,784,087,057,031,578,751,426,433,474,644,498,028,577,377,726,213,664,
602,920,495,422,168,402,327,451,893,738,654,551,852,377,349,834,871,454,534,
677,275,414,275,097,149,480,328,155,704,302,852,453,367,078,078,568,644,202,
906,939,940,628,330,623,187,003,734,268,200,742,403,849,484,402,568,900,492,
258,586,920,802,655,240,355,509,355,309,238,458,835,819,714,196,687,796,116,
391,496,246,285,094,501,780,218,277,261,371,002,671,474,611,663,116,173,764,
617,430,455,201,436,308,910,519,934,157,957,128,891,617,185,559,858,240,159,
714,487,832,234,180,930,150,226,733,523,974,496,350,307,003,643,783,635,278,
773,613,826,312,522,482,332,152,904,230,818,999,451,568,090,658,773,012,529,
548,071,832,834,913,250,962,846,545,942,744,020,799,535,011,717,971,309,626,
814,780,042,625,446,500,061,943,949,083,402,975,750,427,097,731,820,298,762,
823,406,690,761,329,498,234,642,988,530,898,615,753,835,607,782,637,086,403,
958,487,349,191,874,439,665,485,772,563,591,276,601,129,920,853,371,355,787,
383,673,181,666,660,730,190,941,628,425,222,114,993,788,073,163,200,291,035,
651,753,011,482,803,303,250,206,829,454,816,185,354,927,718,764,797,521,567,
853,550,330,447,065,935,809,685,623,538,224,470,414,920,622,539,377,363,009,
454,967,899,368,590,175,668,582,122,190,935,939,646,902,298,365,248,188,021,
172,710,034,181,504,980,725,196,647,363,213,987,877,627,002,308,520,789,677,
319,369,994,679,399,719,737,360,662,846,659,663,297,747,761,551,878,411,165,
321,981,056,402,916,570,281,738,480,010,958,673,221,131,020,235,135,692,059,
326,186,969,761,708,333,403,183,610,776,399,239,986,216,553,494,504,386,768,
780,228,218,361,485,493,021,527,964,584,241,158,441,735,693,613,166,154,797,
615,934,303,132,501,461,957,870,995,543,395,180,475,498,127,391,147,877,830,
692,382,442,074,706,673,302,464,307,460,362,179,052,181,916,459,665,128,397,
026,601,802,093,477,675,733,086,748,123,526,210,582,210,473,922,374,828,794,
187,184,363,965,689,679,979,827,953,605,176,994,568,247,715,404,076,500,038,
365,526,711,107,499,645,065,154,669,653,151,298,767,694,526,744,927,950,428,
918,803,619,163,174,546,610,390,069,324,913,478,692,046,424,354,385,119,071,
376,062,035,354,622,841,030,439,334,843,295,220,800,967,675,225,174,623,220,
843,040,178,911,880,609,565,105,596,533,641,187,716,862,232,231,611,732,110,
944,699,119,046,519,350,558,079,648,714,696,825,532,022,264,317,071,730,539,
507,745,101,606,628,913,117,288,079,934,653,172,698,762,965,813,758,192,824,
247,828,052,195,462,494,019,269,725,046,842,362,855,000,904,122,519,901,606,
152,381,049,307,056,396,364,498,243,215,097,392,769,719,198,323,189,376,373,
812,585,307,731,744,246,215,967,431,996,058,817,181,832,513,910,394,974,417,
072,824,602,729,448,594,270,385,380,968,316,699,423,506,898,250,508,069,487,
439,187,470,758,119,841,213,337,505,903,688,998,789,731,346,049,015,495,323,
302,121,974,424,904,972,192,340,195,068,084,838,412,035,720,784,598,986,760,
257,635,476,719,605,069,956,323,386,343,277,481,632,167,200,330,903,824,376,
579,541,046,003,552,261,168,946,118,762,618,164,405,332,976,140,324,352,967,
997,432,698,288,036,634,956,614,057,545,568,804,072,021,826,276,607,535,272,
335,008,883,481,590,737,791,983,111,854,545,311,049,811,048,134,261,274,612,
429,742,221,651,361,886,655,598,662,590,103,338,253,980,830,066,692,045,747,
305,301,188,583,808,957,105,703,891,167,612,344,635,317,104,126,481,094,161,
348,443,571,811,322,887,242,191,429,918,376,255,800,131,605,642,255,143,476,
087,106,026,271,293,913,328,986,497,040,748,035,854,986,968,753,153,857,337,
331,978,029,942,087,759,863,455,585,860,917,523,281,549,995,813,320,330,156,
639,590,324,727,799,412,876,200,462,668,791,868,865,684,791,050,052,817,972,
770,899,176,205,370,683,991,401,648,254,660,020,953,968,690,146,330,894,899,
498,425,904,939,047,236,676,847,160,986,562,278,697,024,396,544,860,319,261,
721,250,171,866,326,480,201,667,226,916,058,989,323,484,603,447,334,619,453,
974,855,478,636,391,941,648,020,507,135,355,342,336,996,657,037,393,663,260,
191,261,091,458,485,042,945,881,798,787,563,569,693,063,134,766,611,846,129,
015,358,685,944,422,143,772,487,049,941,293,383,773,416,910,629,061,040,616,
777,068,673,533,287,099,982,945,791,728,640,395,372,111,938,702,052,111,473,
074,302,879,454,662,899,276,206,377,498,458,690,410,534,726,357,016,805,067,
464,799,534,184,716,669,286,540,937,963,451,814,418,547,827,109,721,809,352,
637,995,537,299,050,353,321,129,316,864,375,593,755,514,222,748,460,805,999,
600,156,387,005,019,696,248,421,437,254,862,105,943,177,557,123,156,997,125,
488,060,061,502,555,913,894,709,859,243,724,680,854,557,103,300,575,629,758,
468,787,518,914,782,756,638,586,813,423,112,420,091,321,883,462,583,060,893,
143,246,359,388,906,875,799,986,235,126,479,890,932,053,077,806,950,821,241,
429,371,725,825,752,490,070,552,770,351,523,113,554,768,794,456,459,590,872,
875,475,664,372,920,647,413,010,373,186,849,755,359,446,920,367,202,626,699,
372,188,156,852,954,765,623,727,716,600,869,118,745,350,993,539,843,150,790,
432,792,543,188,282,830,074,921,072,184,896,794,728,756,035,457,690,852,296,
374,858,017,026,634,271,056,288,009,887,764,464,788,116,047,878,954,810,276,
724,531,486,008,133,150,588,640,891,613,180,841,486,658,313,823,799,708,151,
731,046,039,939,560,527,627,030,792,077,258,477,149,365,198,540,750,281,189,
138,299,386,098,987,679,351,702,314,057,429,614,717,853,998,261,324,538,471,
794,690,192,256,645,520,360,475,677,289,561,152,071,702,331,210,084,412,325,
139,234,227,633,528,386,791,428,142,463,835,618,883,151,939,401,609,726,318,
231,102,033,513,843,825,561,737,630,288,871,441,600,608,328,298,877,760,600,
664,371,279,857,216,153,451,822,692,450,878,378,250,052,408,322,930,019,424,
317,892,722,327,014,908,140,597,483,952,534,474,610,704,015,000,505,745,229,
545,616,539,561,975,194,482,827,364,020,019,247,074,644,336,521,368,679,170,
160,486,349,220,442,476,226,999,363,692,247,297,479,808,390,900,329,255,844,
908,192,074,477,750,738,881,475,763,953,744,923,813,284,874,590,915,321,826,
958,387,035,852,789,819,264,287,554,087,452,935,219,304,543,470,515,175,168,
374,983,330,913,031,609,943,730,817,968,912,569,141,846,099,967,107,226,243,
485,470,255,331,679,450,652,828,389,520,071,510,746,208,784,360,617,214,033,
729,409,684,490,331,438,012,570,631,238,629,832,444,035,186,322,509,683,693,
900,960,737,514,754,596,323,606,769,152,218,293,412,345,920,104,563,620,364,
132,275,733,654,214,349,001,868,883,280,882,641,922,984,799,805,804,352,176,
540,622,844,502,100,543,108,535,615,317,090,302,238,708,614,160,947,689,702,
404,942,437,536,138,047,826,947,170,654,456,669,949,891,224,662,120,333,222,
920,263,538,604,600,528,770,902,552,239,330,389,382,074,956,752,049,947,565,
182,033,581,503,881,100,744,504,080,136,235,948,281,559,676,575,278,124,102,
388,451,732,274,224,351,304,832,102,062,016,783,593,048,106,219,503,311,304,
148,011,624,299,760,320,355,835,052,945,989,759,460,919,555,978,225,693,240,
691,408,613,865,404,442,433,760,524,157,570,393,377,931,139,727,459,002,794,
381,066,251,083,355,803,511,231,641,847,024,427,211,240,001,650,771,172,485,
164,368,780,710,259,009,537,919,457,989,201,161,344,548,286,803,573,793,537,
887,669,363,897,674,833,348,476,313,071,561,952,924,365,861,623,896,806,577,
131,362,004,735,121,534,351,455,174,260,883,790,641,204,773,123,491,926,017,
624,087,655,504,149,204,189,581,596,426,000,018,113,051,833,548,308,375,572,
515,929,465,986,031,553,250,561,154,709,025,509,110,227,066,313,482,065,442,
847,299,073,939,863,071,772,980,949,270,983,905,731,400,191,208,662,285,888,
631,592,937,396,768,322,492,113,486,875,882,052,628,241,199,092,962,996,710,
710,274,693,620,039,702,927,945,957,065,560,961,068,386,428,741,310,629,563,
897,498,462,288,072,947,963,831,881,978,417,732,705,005,613,757,608,550,414,
644,678,225,925,561,239,920,398,539,993,071,410,727,489,012,537,548,002,717,
719,711,690,228,256,417,762,964,014,771,548,710,310,074,686,368,003,675,618,
615,300,021,006,300,104,689,634,008,890,612,237,254,060,459,368,540,044,783,
133,420,980,133,974,214,041,217,369,969,920,980,133,994,891,661,548,369,465,
198,438,795,065,314,500,735,628,455,540,831,490,433,454,538,644,413,924,718,
394,168,723,517,760,904,761,973,586,249,768,228,943,240,441,511,417,895,404,
277,424,729,785,439,753,396,783,272,147,688,015,957,824,042,714,349,448,454,
197,324,205,081,129,952,064,229,479,286,606,670,235,754,664,187,530,818,187,
405,136,244,314,821,690,443,981,964,888,935,117,535,791,211,644,193,181,801,
999,865,046,090,109,352,830,327,429,741,517,116,894,220,623,532,784,615,027,
507,102,359,610,557,414,584,271,782,297,225,150,709,619,804,784,846,719,724,
240,702,638,338,461,403,299,938,317,880,002,147,196,614,672,296,208,878,109,
677,728,033,436,208,528,043,006,205,684,338,514,392,346,466,318,113,260,685,
879,262,074,183,579,542,790,026,580,743,393,494,689,909,904,556,689,068,257,
788,858,709,736,834,203,687,653,351,235,534,702,446,378,582,945,322,774,626,
861,399,540,392,169,534,288,949,395,705,767,152,720,363,117,432,044,270,554,
720,272,804,075,189,293,543,558,533,609,793,829,957,960,297,840,340,092,349,
018,279,476,935,315,261,598,166,715,467,364,720,673,924,777,923,101,037,569,
257,668,781,767,765,431,801,705,684,294,092,438,203,031,597,210,397,075,751,
852,968,886,101,279,407,328,778,131,938,712,909,543,386,507,131,225,056,057,
394,388,277,405,042,417,735,625,480,499,520,703,114,372,325,497,509,854,445,
039,979,950,583,534,050,612,179,675,372,107,749,880,174,377,478,646,583,177,
796,803,353,462,279,274,782,577,154,706,214,972,414,422,734,966,917,268,133,
284,237,283,441,681,864,713,848,189,633,119,087,217,275,567,517,478,507,956,
716,148,711,890,514,221,465,903,043,153,420,147,067,559,699,257,637,928,519,
960,614,775,125,438,230,595,555,865,124,728,537,200,291,784,295,347,139,215,
171,586,188,025,639,305,668,548,381,145,092,629,366,112,170,757,546,050,398,
667,208,594,074,553,421,102,052,136,884,977,911,180,503,787,097,052,567,144,
587,875,993,807,521,090,768,208,120,225,150,946,456,838,279,177,254,173,586,
972,275,124,939,700,996,782,038,196,372,564,069,390,645,426,534,582,610,602,
149,738,276,880,395,128,816,497,228,486,384,043,920,119,478,987,524,734,672,
029,062,776,085,207,484,138,722,737,411,952,766,985,453,205,344,712,494,776,
065,057,849,065,092,703,233,054,259,845,590,005,893,337,557,932,771,003,854,
733,971,248,715,199,146,900,471,020,704,843,431,244,167,647,541,613,360,117,
275,915,594,249,570,243,514,820,167,493,068,765,749,492,186,659,085,336,001,
728,054,143,508,186,145,995,184,398,036,339,343,472,310,496,495,194,967,476,
100,892,483,332,821,201,592,748,081,230,507,387,707,901,211,503,242,849,986,
587,577,796,987,060,750,080,643,105,361,991,682,193,238,108,181,055,973,496,
124,316,782,919,017,949,128,705,214,784,149,582,569,247,011,892,739,802,253,
812,027,121,610,409,305,317,145,485,490,400,112,675,923,062,716,386,705,525,
243,546,826,011,070,119,913,919,698,600,376,154,964,455,209,097,110,806,017,
312,729,601,702,878,737,676,153,536,314,174,027,161,829,644,752,902,176,326,
431,413,462,354,534,806,235,862,885,851,197,484,526,304,744,951,952,222,062,
868,623,224,054,167,045,911,205,995,403,078,407,806,557,711,096,625,672,966,
484,288,213,378,616,628,254,103,949,261,763,259,323,140,200,218,539,476,638,
204,828,369,713,008,938,429,151,269,944,856,945,576,654,448,756,051,611,277,
876,673,843,031,689,094,821,738,430,801,121,301,275,519,154,754,034,771,288,
249,384,001,054,453,860,758,149,865,841,406,295,473,147,179,309,473,475,568,
701,142,397,121,038,655,732,493,680,851,944,964,283,527,968,763,458,107,607,
917,211,025,118,547,727,319,995,923,792,751,345,182,244,004,009,310,136,332,
423,640,014,544,125,651,077,338,747,525,294,337,016,434,825,599,181,962,381,
094,192,506,329,543,474,100,338,144,306,890,598,872,979,723,562,731,136,671,
511,520,430,477,181,798,561,431,398,737,209,615,317,505,546,169,773,500,324,
796,964,782,028,334,895,426,950,204,320,475,715,725,713,203,532,947,521,221,
943,581,814,001,218,137,990,465,010,527,500,911,672,535,447,625,382,861,172,
260,180,109,926,831,609,743,426,977,846,579,838,447,632,907,201,946,692,421,
693,842,871,525,705,166,864,668,260,671,676,255,668,235,220,715,706,139,519,
319,945,736,635,644,856,372,619,965,224,069,616,691,843,552,421,180,928,310,
501,515,332,734,856,246,309,901,702,305,986,023,655,483,983,826,562,043,201,
861,382,563,315,781,895,066,770,395,111,316,365,771,136,166,904,594,558,145,
100,228,718,032,353,528,530,149,063,834,985,976,185,702,721,166,109,895,317,
414,759,620,883,668,149,663,513,114,722,322,761,651,046,527,561,138,400,821,
011,704,991,397,853,281,479,098,038,796,522,876,669,231,582,633,657,471,729,
153,984,506,274,673,933,175,749,923,680,276,092,786,930,202,723,496,582,982,
164,846,095,501,966,345,214,604,828,073,351,477,958,583,457,902,856,062,355,
754,249,015,620,986,358,222,270,269,877,951,380,912,693,633,622,457,384,957,
732,243,452,537,330,167,395,240,148,608,946,108,289,275,429,180,849,904,636,
376,714,649,188,156,140,009,803,105,289,045,669,419,371,607,617,414,711,880,
860,333,935,912,592,091,387,023,629,251,485,674,937,341,318,145,675,791,481,
419,715,282,643,283,873,445,237,684,721,399,520,503,606,257,777,613,013,813,
847,732,773,053,457,807,933,059,005,147,679,483,809,261,626,474,576,950,081,
800,052,419,407,735,462,233,577,849,217,989,521,157,480,993,904,399,408,045,
269,929,479,474,048,025,479,110,235,763,289,416,895,647,848,115,761,066,537,
446,169,241,412,310,827,559,935,659,279,052,326,584,690,570,371,916,153,945,
411,737,248,395,179,296,943,895,656,239,970,761,905,965,357,769,115,333,778,
419,446,085,731,088,465,200,688,956,919,754,065,809,254,285,161,286,786,751,
394,635,260,976,333,921,219,917,101,685,700,803,018,044,773,290,688,418,859,
070,158,879,722,652,398,273,794,977,175,238,429,203,979,354,497,866,778,795,
584,660,237,349,722,515,756,276,463,752,056,829,529,584,231,927,302,188,717,
371,808,280,624,302,407,488,328,277,635,444,063,953,048,310,655,487,589,429,
270,610,893,016,788,848,656,722,020,143,169,011,568,993,787,046,891,588,769,
629,648,270,260,360,159,355,566,585,649,222,854,683,687,997,533,284,856,636,
544,426,372,216,430,863,459,562,239,843,610,270,058,947,086,251,510,958,105,
882,790,905,458,768,882,495,957,644,358,185,743,422,831,358,818,808,148,331,
414,322,996,237,214,169,903,919,535,719,198,781,389,649,287,535,051,903,828,
909,750,946,290,729,309,172,691,093,290,917,886,997,879,699,442,421,347,453,
383,167,169,003,525,282,445,981,615,609,405,571,443,492,930,634,213,185,221,
989,885,412,984,398,901,125,187,348,868,851,146,878,505,457,689,141,104,529,
908,726,578,974,552,750,001,978,737,750,014,810,372,632,534,920,806,571,019,
135,549,450,537,798,164,502,205,566,992,498,711,530,434,819,366,346,036,454,
955,636,230,110,151,806,685,324,943,763,681,798,478,545,177,146,805,008,849,
130,443,208,527,240,233,625,690,241,236,138,266,433,184,452,802,640,063,242,
736,491,212,577,805,054,276,405,278,933,401,652,354,633,592,048,475,576,422,
674,896,059,089,048,983,900,795,686,020,751,429,442,710,140,899,071,629,259,
557,800,843,019,798,292,351,855,606,350,319,832,710,992,185,937,485,799,255,
833,630,711,854,166,138,666,739,054,283,803,224,305,875,974,501,390,339,999,
228,487,763,497,746,557,254,471,372,983,504,410,422,005,077,139,963,818,638,
618,039,357,030,135,460,944,766,488,546,054,939,004,420,159,285,777,758,059,
338,668,466,639,804,871,874,738,022,579,573,787,042,022,990,149,974,562,201,
848,523,502,082,033,266,074,245,964,762,113,028,100,577,871,584,753,949,085,
917,013,952,707,227,788,186,905,147,074,356,701,399,051,711,630,778,531,463,
468,852,024,162,126,471,489,670,711,750,174,109,271,701,674,947,191,437,611,
502,901,477,233,269,136,752,551,632,189,461,980,997,736,059,499,220,012,059,
137,611,454,887,662,599,874,337,375,744,597,788,673,060,211,957,463,263,465,
660,669,342,124,941,760,425,711,090,252,570,849,446,971,827,257,274,052,361,
565,346,079,132,415,532,080,682,959,412,724,003,675,631,779,005,247,079,005,
737,652,877,316,889,271,310,308,296,403,605,866,479,248,757,437,018,967,890,
532,611,055,712,843,028,058,612,214,229,495,393,650,628,642,724,458,827,542,
569,969,435,347,986,351,573,227,474,589,699,297,839,414,272,070,870,698,702,
076,253,171,569,254,718,239,194,952,341,606,759,142,578,836,742,196,890,911,
176,972,317,084,066,880,226,457,284,867,549,149,456,701,169,805,852,924,820,
137,399,777,531,222,524,078,330,397,974,189,375,009,160,847,960,505,151,891,
135,799,948,784,193,827,973,710,525,281,517,150,336,487,722,274,182,739,621,
574,611,832,892,290,867,019,334,470,860,485,552,612,022,167,555,889,337,288,
721,847,120,667,802,421,573,614,871,512,234,368,589,055,839,955,795,734,927,
218,686,718,974,953,757,919,385,153,827,705,504,462,091,179,931,219,459,210,
896,381,164,574,645,419,613,599,736,955,859,541,964,644,238,423,729,169,396,
886,836,934,102,232,241,941,609,687,782,856,363,649,476,913,413,300,628,591,
620,459,157,499,878,649,380,899,700,126,629,056,827,312,787,410,094,052,404,
329,965,836,366,272,158,308,268,380,285,889,672,918,522,235,368,803,869,266,
225,551,225,976,367,400,883,085,596,584,982,665,868,477,753,034,609,875,252,
916,634,107,777,919,800,818,284,102,948,668,597,487,097,749,916,378,343,563,
304,464,786,189,328,466,185,043,424,115,926,991,593,210,733,794,919,043,721,
775,676,771,509,456,136,231,529,912,400,980,534,633,830,273,883,810,528,015,
736,731,430,141,663,071,550,903,089,748,939,211,412,510,009,761,966,649,712,
166,344,078,932,549,425,727,178,827,411,684,660,541,022,842,107,683,849,035,
410,479,827,036,289,053,582,799,995,915,476,242,164,994,155,290,206,253,813,
053,787,443,679,765,231,291,945,952,887,820,490,132,038,992,211,544,399,341,
836,943,990,939,103,564,196,129,562,291,222,104,783,129,170,833,657,647,967,
666,214,078,764,317,395,224,650,843,142,620,449,869,505,573,878,334,510,876,
074,701,222,488,174,350,366,025,702,565,297,255,778,695,081,409,770,752,176,
097,912,909,948,257,206,114,900,319,200,947,056,994,614,913,479,793,116,918,
450,017,269,853,385,623,844,279,743,824,816,617,959,495,499,031,179,493,846,
744,446,254,478,969,163,353,983,498,884,213,782,822,660,539,528,696,159,741,
029,012,871,090,737,434,423,982,766,224,088,692,829,124,120,636,425,317,453,
010,772,694,026,613,223,005,982,766,865,433,598,869,075,065,638,791,136,457,
640,564,204,124,971,770,446,551,949,722,495,020,720,383,125,618,695,517,048,
557,377,513,657,068,843,828,077,365,411,551,385,637,814,803,573,830,416,738,
173,186,360,141,646,354,682,890,255,108,231,697,220,751,131,105,370,840,622,
977,449,229,987,001,468,482,525,758,581,970,720,553,708,580,129,927,334,821,
780,865,739,329,240,428,415,264,201,559,492,461,781,759,937,425,175,199,805,
049,968,837,280,393,964,127,408,597,388,621,903,371,532,321,995,462,336,217,
090,965,980,132,134,857,471,943,718,410,516,426,614,569,237,283,831,080,890,
489,578,951,943,257,964,262,175,036,118,548,377,835,479,272,203,655,346,330,
408,393,969,809,416,493,757,580,967,390,803,349,824,498,872,527,107,861,199,
641,352,449,339,696,437,067,283,592,952,419,506,450,635,611,837,347,433,203,
891,435,740,129,878,279,283,351,975,948,054,114,900,548,475,037,491,096,473,
444,421,763,700,674,236,776,019,420,450,680,099,484,336,165,627,544,885,236,
357,629,291,447,297,447,787,722,185,219,157,490,139,209,343,782,071,521,290,
576,249,774,093,241,277,940,477,346,220,575,074,963,612,843,100,329,628,076,
007,688,716,709,148,509,559,121,784,030,368,626,895,758,389,541,086,795,878,
900,355,280,114,422,358,663,474,429,976,035,845,496,653,686,725,031,372,396,
328,970,702,138,777,515,070,564,597,850,106,427,667,970,680,912,163,060,447,
290,795,112,132,592,058,701,512,791,035,620,951,009,322,108,594,415,183,473,
266,647,239,818,450,495,929,724,413,613,153,560,750,281,926,258,199,240,417,
592,623,408,207,326,783,227,749,060,896,502,096,027,310,551,995,201,875,528,
660,763,942,208,760,688,162,300,054,144,267,280,602,759,475,469,797,086,357,
872,836,011,435,123,453,004,827,866,709,194,838,581,313,111,115,407,335,191,
430,530,444,066,376,112,903,061,261,578,578,577,839,214,799,289,532,311,312,
295,101,877,792,143,147,332,330,660,290,095,880,288,958,143,475,082,808,013,
331,298,270,041,544,776,457,688,500,737,151,775,204,878,439,955,393,881,225,
551,653,085,193,853,678,438,606,242,985,852,482,505,776,650,959,807,342,515,
732,013,226,492,635,771,639,419,428,063,050,808,454,222,576,076,299,926,625,
640,301,001,512,172,402,635,567,535,106,286,424,288,574,048,412,956,400,101,
221,055,231,894,410,696,911,171,941,846,856,467,868,050,842,139,642,434,028,
994,411,134,904,181,458,106,532,435,237,385,519,648,336,271,177,480,068,916,
831,502,873,429,872,384,993,708,194,727,384,671,228,570,831,128,270,101,547,
994,782,555,811,847,559,222,349,497,772,130,706,789,999,232,567,559,502,924,
223,068,352,997,878,439,518,464,034,366,465,815,321,728,503,891,636,742,473,
068,102,456,823,121,044,609,813,709,417,574,238,660,610,912,636,133,433,348,
876,837,758,716,720,456,370,188,619,580,978,686,955,016,229,835,033,662,103,
343,697,372,713,599,879,746,907,326,903,471,306,999,714,394,074,553,595,259,
547,033,823,685,962,262,301,296,892,054,469,095,045,043,946,800,286,949,566,
456,141,499,471,263,208,673,335,523,039,509,130,763,864,772,057,042,248,616,
980,163,360,027,257,265,324,481,498,017,233,289,838,690,746,459,119,714,872,
924,813,253,329,763,845,789,518,471,806,556,305,831,870,368,080,079,426,239,
033,127,328,457,346,698,815,362,403,515,835,968,364,331,798,439,032,530,590,
031,340,233,701,992,986,501,033,354,338,431,879,256,254,005,789,692,837,356,
721,170,447,053,502,518,745,357,435,850,910,509,471,133,067,021,229,388,392,
833,853,721,413,498,568,186,859,514,749,739,642,033,928,437,585,236,453,457,
632,944,409,216,077,187,368,246,443,951,149,088,819,693,910,797,160,344,183,
756,807,277,995,073,940,386,118,804,488,171,972,312,728,435,737,297,298,598,
861,034,506,347,901,194,513,158,514,005,819,846,415,196,608,603,455,272,296,
187,164,981,935,854,507,429,105,777,649,728,600,966,910,165,937,724,551,863,
361,531,159,783,478,425,425,564,395,919,386,748,171,334,789,800,082,728,665,
315,494,275,242,527,431,051,980,197,748,138,503,530,225,647,144,406,542,003,
118,515,952,274,251,370,187,400,995,468,375,620,412,441,884,560,767,726,240,
235,381,653,744,699,940,534,240,467,795,391,764,120,380,439,816,782,280,082,
056,737,868,540,039,944,030,268,367,365,619,455,396,068,404,210,884,136,796,
207,728,468,063,809,867,803,569,731,013,259,270,514,835,057,869,821,823,259,
495,844,212,256,803,716,353,163,183,237,712,320,311,033,658,745,604,817,265,
864,616,581,316,135,077,502,684,371,729,468,203,713,214,603,301,082,619,097,
601,146,346,269,060,033,327,842,745,440,769,641,872,006,623,033,346,351,367,
616,158,569,345,763,860,585,712,924,952,136,384,454,994,798,509,849,468,423,
145,126,966,884,162,961,964,857,619,506,106,575,028,586,826,456,556,213,203,
782,714,354,092,667,195,290,716,531,890,968,046,411,250,001,870,570,054,093,
691,052,379,983,807,938,708,285,040,777,574,569,679,885,572,332,273,814,262,
598,349,827,809,796,713,660,583,591,600,290,494,073,481,446,381,014,940,324,
053,656,650,745,437,113,672,952,672,878,668,177,166,332,035,328,644,824,304,
502,338,064,335,370,780,792,148,771,746,319,437,462,395,597,140,191,325,335,
508,696,833,284,635,039,886,355,210,302,127,048,137,974,125,315,893,299,073,
709,402,519,336,824,764,837,884,767,457,446,440,260,562,271,555,361,298,494,
650,334,325,819,763,945,706,922,657,446,269,159,050,014,110,897,956,324,956,
076,507,934,348,086,366,649,818,210,749,295,895,144,736,170,910,493,447,127,
807,350,567,314,088,318,896,944,074,706,936,735,566,328,198,483,834,927,660,
964,484,093,658,749,483,125,600,618,694,037,900,544,816,529,110,947,331,649,
442,549,232,839,003,231,998,373,632,230,512,977,332,941,143,466,715,683,726,
191,628,341,571,710,561,232,196,875,040,060,091,506,181,667,708,484,345,525,
720,554,645,440,213,589,026,200,222,003,333,185,254,293,256,221,818,808,210,
517,382,887,143,221,883,477,261,035,175,624,823,802,372,889,837,267,147,361,
995,186,914,324,628,752,126,017,529,527,952,078,702,185,022,167,248,855,284,
577,895,873,906,391,054,278,482,436,180,414,138,745,943,607,019,050,274,068,
975,002,315,973,683,973,612,539,216,437,934,633,206,192,759,510,231,249,903,
153,981,908,759,113,669,262,978,838,475,999,979,862,680,066,387,259,538,147,
972,633,436,007,002,165,771,989,173,792,406,238,465,380,114,531,583,138,037,
024,161,783,288,971,255,621,221,179,992,405,441,866,347,309,313,278,863,476,
618,442,518,999,991,457,546,097,967,199,127,628,797,490,832,454,547,005,843,
880,034,644,108,881,967,914,795,531,210,948,958,489,389,431,076,818,139,676,
937,228,303,234,214,252,358,382,677,572,675,542,655,709,838,161,249,262,410,
377,210,661,093,055,160,443,722,890,262,515,776,998,362,194,797,952,670,701,
326,101,793,798,264,015,846,827,871,686,409,828,175,800,336,171,740,574,975,
683,445,195,059,129,398,029,440,669,962,336,085,281,818,409,349,359,039,561,
216,108,052,211,181,474,635,819,263,272,578,545,214,987,976,842,210,900,671,
900,347,738,380,608,899,046,951,679,183,543,411,481,872,736,320,786,224,473,
254,938,755,279,504,043,721,850,233,255,565,977,817,131,270,603,267,300,974,
504,764,574,952,744,261,696,841,098,559,363,992,967,885,094,937,106,490,537,
941,868,623,344,153,931,234,237,999,981,988,367,230,730,843,160,297,224,648,
925,005,400,875,027,423,070,725,273,128,142,890,677,650,436,590,607,146,058,
929,087,003,772,357,125,868,891,195,149,643,967,768,474,352,653,042,103,157,
959,446,406,668,686,137,591,896,359,358,551,142,331,527,722,665,863,205,086,
281,922,032,333,888,333,957,556,565,985,585,514,501,814,329,162,360,028,606,
620,221,143,293,566,939,301,427,040,244,170,337,595,894,420,802,126,893,630,
669,996,968,812,462,192,351,481,348,562,079,798,569,040,564,235,098,710,191,
488,161,982,437,390,464,217,624,111,890,043,654,537,887,645,624,721,081,691,
377,381,144,475,202,848,614,405,578,638,859,221,313,538,855,489,308,847,960,
111,507,045,605,058,338,223,589,876,337,995,084,205,534,007,156,138,065,111,
242,529,510,399,713,794,167,116,857,809,575,969,310,758,709,315,454,036,830,
755,850,969,342,857,133,558,554,589,143,344,568,732,693,429,871,439,072,667,
986,019,744,072,745,560,682,302,548,893,592,608,961,678,776,176,426,498,914,
216,173,132,634,490,843,590,785,831,584,418,934,410,835,744,790,449,766,717,
291,169,700,617,500,994,765,530,537,536,129,083,630,727,768,177,456,744,979,
594,915,953,567,430,723,226,333,355,546,118,949,497,086,353,870,362,539,647,
911,086,520,263,845,284,787,049,125,675,423,869,511,600,255,398,993,302,155,
098,593,999,776,633,364,832,944,254,550,033,969,171,296,757,438,458,355,097,
368,532,896,041,425,083,242,546,485,281,830,654,254,860,134,630,962,869,721,
758,897,536,172,207,182,526,182,567,509,908,052,845,772,079,272,701,757,548,
509,375,939,081,844,149,477,111,618,660,134,633,904,459,411,676,049,616,857,
086,121,612,847,763,072,025,515,694,800,298,603,719,557,582,794,819,803,756,
716,137,642,414,844,826,251,760,011,147,456,642,527,365,908,462,769,956,006,
519,295,769,640,353,169,825,740,410,943,803,244,995,987,506,505,169,024,107,
558,907,297,052,618,368,039,208,750,529,095,031,959,553,700,300,008,731,511,
129,808,347,041,284,413,505,985,667,159,053,870,690,804,842,419,085,355,024,
606,925,864,409,754,134,232,468,836,862,171,618,895,043,079,912,384,749,710,
526,591,451,192,975,937,931,114,432,912,471,102,607,630,513,933,389,298,457,
171,170,424,542,066,691,905,846,082,562,578,109,011,230,474,824,846,145,112,
953,749,268,275,948,361,400,218,314,563,955,592,305,830,446,926,568,770,287,
231,933,102,556,745,113,599,078,137,824,032,893,869,255,142,794,247,901,504,
031,897,201,671,066,978,568,987,293,109,897,284,986,704,875,509,100,977,908,
249,980,930,684,232,539,503,314,439,385,268,361,384,094,360,077,405,693,771,
623,501,013,075,325,219,475,533,185,854,240,941,366,274,133,491,736,324,691,
391,737,788,203,554,192,068,918,474,525,424,300,226,938,042,538,566,665,862,
371,135,669,678,354,625,194,534,396,805,713,401,871,487,788,568,343,775,189,
002,080,463,556,003,585,028,541,378,433,126,581,506,863,575,055,878,625,460,
497,508,061,248,870,729,303,990,610,582,826,310,318,270,615,727,758,204,947,
579,216,335,479,848,198,673,151,758,230,298,272,761,962,811,483,988,743,623,
212,502,953,963,350,454,764,690,140,170,910,118,345,792,114,193,830,845,316,
279,295,468,640,268,871,185,060,693,872,122,260,237,212,697,809,788,117,623,
881,913,516,690,141,572,356,339,071,019,411,749,027,623,050,496,728,823,909,
403,153,467,938,598,436,490,812,745,414,738,613,688,083,412,672,040,337,330,
899,328,882,383,191,718,132,512,331,338,281,153,096,242,214,818,422,385,081,
821,106,292,124,641,705,659,665,253,948,648,081,150,086,646,952,330,464,717,
543,734,428,830,843,375,365,071,154,184,167,898,231,542,234,238,835,969,116,
269,814,091,290,934,958,087,600,345,962,967,749,060,741,014,606,465,372,398,
857,239,581,701,723,987,136,528,096,696,639,286,474,429,916,360,776,481,477,
694,596,240,191,055,105,513,928,074,082,063,903,861,666,059,733,174,085,371,
637,818,560,489,543,725,989,667,778,894,900,295,779,775,475,147,575,582,107,
004,740,986,880,694,667,739,736,704,841,659,527,364,516,015,453,903,815,344,
228,522,072,060,008,035,903,181,202,842,925,551,710,029,462,949,662,979,476,
811,419,523,802,281,555,889,179,044,609,337,899,254,471,713,375,433,128,439,
781,051,010,659,070,203,734,728,010,694,286,809,891,934,845,935,052,058,183,
381,422,160,095,730,298,817,034,138,265,721,375,347,241,512,146,642,368,790,
058,617,819,856,816,238,078,445,926,843,002,377,366,104,434,393,581,469,259,
668,222,616,806,914,497,372,769,950,552,005,105,422,878,315,668,581,938,112,
110,514,035,292,339,834,693,160,614,859,132,856,822,907,051,749,467,215,786,
135,064,318,595,118,465,208,248,967,630,858,039,301,901,931,223,192,343,710,
788,288,472,676,336,175,154,323,529,470,936,019,959,592,397,773,439,660,608,
323,955,778,732,934,823,441,503,399,029,170,695,471,808,987,251,226,600,186,
706,614,815,113,902,068,413,783,884,217,839,663,476,472,936,916,634,284,485,
627,250,847,618,698,279,584,110,257,016,066,190,890,911,942,407,329,026,682,
551,232,863,019,307,704,031,966,620,945,591,669,146,644,690,137,198,796,303,
941,668,656,817,467,055,713,829,766,091,727,219,676,543,020,761,415,135,590,
117,741,584,107,050,062,585,094,624,153,130,077,178,505,564,044,246,127,430,
182,821,050,406,737,462,593,165,214,498,871,125,913,541,271,894,452,065,577,
414,684,888,883,436,150,633,956,633,773,928,602,140,154,417,256,529,111,579,
674,871,096,452,087,191,276,902,178,116,748,242,257,313,153,405,787,061,166,
312,695,813,678,733,998,526,742,195,899,422,678,407,909,415,087,900,189,131,
282,744,643,356,364,001,144,979,467,721,353,213,908,626,124,444,384,653,115,
796,149,346,784,517,552,290,910,563,865,187,133,521,393,424,698,614,224,709,
880,334,597,678,781,700,056,760,488,059,578,087,898,903,028,432,950,388,165,
557,016,530,272,850,260,730,035,836,026,180,656,011,369,355,550,283,466,203,
324,057,959,577,699,435,180,973,541,971,489,103,202,238,165,499,468,591,718,
390,913,870,415,872,726,247,109,077,618,742,927,350,071,580,495,454,261,410,
013,077,042,032,498,455,234,256,368,063,250,563,872,199,444,066,384,913,456,
577,143,110,125,096,447,331,650,461,829,502,120,982,649,766,300,593,393,643,
185,925,728,192,372,236,223,858,294,326,030,292,737,932,736,263,373,287,388,
486,693,222,366,726,837,378,355,401,539,005,429,386,106,419,972,041,753,696,
581,553,210,650,511,428,209,524,718,635,156,719,772,150,268,654,922,815,357,
232,318,105,811,999,533,532,510,196,559,303,074,083,250,812,337,724,842,993,
236,519,988,092,697,980,316,101,471,338,811,437,844,645,881,876,975,909,915,
071,100,340,186,700,719,961,275,142,548,493,590,738,920,589,560,506,632,974,
499,438,093,205,359,024,948,785,018,904,516,554,573,390,802,781,579,114,986,
312,953,402,215,069,364,056,666,730,147,843,289,745,147,668,330,115,764,621,
431,154,608,279,080,707,711,839,675,004,549,013,969,578,201,767,673,040,486,
964,614,960,099,437,587,785,535,696,244,845,034,147,151,036,165,336,448,718,
941,401,631,477,791,002,321,546,353,502,735,999,920,215,013,918,750,556,967,
070,471,538,958,880,128,364,549,630,156,591,821,201,077,072,312,039,282,970,
025,585,529,570,744,475,260,256,563,601,909,632,544,510,034,372,253,307,868,
276,098,393,916,390,783,044,916,657,782,100,016,314,418,783,822,066,360,956,
379,396,318,873,727,401,115,934,904,789,604,980,919,254,535,972,815,823,924,
276,032,396,170,170,324,299,233,290,888,625,931,918,939,138,479,430,488,324,
172,803,729,350,151,308,625,158,740,784,070,762,385,276,382,180,733,744,511,
951,558,989,990,627,027,706,904,564,455,389,052,569,171,003,480,491,388,753,
341,180,754,921,511,895,581,634,326,945,451,592,672,607,157,777,886,253,436,
035,557,027,178,112,047,560,133,183,222,778,140,658,227,547,980,316,218,956,
840,623,557,937,109,298,781,470,564,258,644,490,047,612,706,625,423,893,443,
122,788,991,084,296,418,598,518,519,369,287,751,580,787,744,797,496,281,567,
430,214,375,410,017,658,289,077,931,861,900,716,934,616,337,473,708,213,283,
633,292,482,231,491,462,122,542,459,134,101,478,916,997,729,016,103,597,489,
090,959,780,466,286,998,531,822,106,607,687,370,355,772,540,912,174,697,439,
607,098,781,687,247,032,702,166,829,896,959,725,448,850,240,916,234,174,493,
402,176,440,814,588,093,510,117,920,250,516,932,749,025,573,428,011,807,035,
339,912,865,740,682,159,927,696,068,873,924,778,953,328,099,664,798,689,930,
537,623,100,566,936,414,428,378,428,081,571,534,880,297,014,292,071,715,864,
889,518,503,528,761,407,180,100,341,133,843,009,790,513,373,585,823,305,414,
663,176,507,119,120,904,782,895,081,045,085,520,484,501,565,486,354,419,383,
289,760,002,141,699,061,370,794,432,052,325,102,912,980,001,768,580,096,062,
459,117,781,617,439,228,202,277,299,512,020,558,947,131,654,159,651,973,895,
827,448,203,443,321,035,502,350,958,072,164,722,748,126,239,443,504,852,239,
087,175,199,533,871,259,406,782,703,211,822,082,286,588,544,665,018,150,579,
860,026,257,870,622,610,373,108,940,862,546,091,556,485,557,714,404,622,575,
858,457,279,484,025,337,118,616,405,398,767,720,820,801,682,121,227,612,657,
906,390,171,010,697,964,408,054,800,964,794,028,931,253,548,404,350,141,662,
946,524,783,315,143,088,200,404,449,064,003,608,799,684,130,509,383,433,464,
617,788,210,080,795,220,902,265,482,319,648,247,243,989,371,999,558,012,427,
873,179,336,215,283,243,515,675,869,025,144,218,299,908,060,578,307,326,749,
210,929,851,883,800,814,791,108,118,198,103,407,494,630,142,858,533,231,574,
764,392,080,911,810,069,248,398,793,581,400,337,387,871,799,765,013,929,874,
429,650,064,118,752,247,271,974,534,056,062,757,645,703,703,132,057,111,518,
580,455,799,383,462,199,447,616,895,418,234,295,655,332,789,815,035,650,408,
558,441,605,908,295,575,384,576,745,216,807,115,850,646,956,695,125,596,477,
179,360,168,021,020,697,231,722,521,516,017,260,271,826,429,780,896,575,498,
556,269,904,976,973,001,652,244,313,528,659,865,520,529,934,844,506,790,950,
860,132,738,505,436,540,839,545,858,414,211,806,869,247,153,814,874,228,258,
018,508,128,645,548,286,498,060,064,187,938,773,889,265,535,189,962,425,484,
014,169,212,601,472,190,051,692,961,291,197,711,461,252,386,049,276,659,268,
902,903,608,614,710,912,527,678,443,907,203,492,149,721,734,449,894,088,168,
176,925,292,904,927,007,933,506,940,057,215,211,180,146,976,911,748,507,711,
125,873,861,562,245,167,350,585,720,818,926,560,230,938,539,987,032,778,164,
805,049,336,942,921,574,756,935,820,920,232,615,244,966,152,080,254,163,555,
673,742,718,976,287,288,143,495,792,269,417,381,752,268,613,292,533,702,131,
688,081,486,396,006,418,903,737,735,895,813,972,146,128,583,226,391,527,284,
351,450,518,307,028,425,999,492,688,272,440,287,113,197,654,942,183,441,716,
768,416,601,186,263,025,426,436,312,904,165,155,309,395,197,766,337,098,747,
900,092,642,142,513,254,932,471,679,062,678,160,100,801,970,479,797,626,942,
859,133,132,235,739,037,954,716,828,175,601,356,782,654,346,804,285,244,779,
082,751,146,456,530,008,079,042,313,169,889,541,779,218,856,656,054,135,796,
458,267,479,796,164,352,035,578,296,048,717,448,115,221,842,115,409,976,412,
540,288,952,742,504,681,824,700,357,283,122,623,926,998,462,664,420,001,352,
913,463,730,739,640,463,145,206,832,489,623,004,168,961,273,353,382,500,082,
310,454,221,859,537,028,222,831,242,906,877,040,816,083,345,508,479,546,550,
508,619,075,462,391,526,941,844,117,230,901,193,462,386,862,295,128,504,961,
904,652,554,281,605,316,942,990,071,549,245,566,398,383,127,483,605,085,417,
435,993,920,630,259,596,852,476,113,902,320,228,316,200,124,725,572,389,040,
316,787,697,500,255,070,739,904,934,093,011,605,286,358,841,399,240,851,717,
129,424,567,024,452,530,463,545,509,411,206,272,086,315,379,056,378,392,337,
492,296,491,785,389,160,928,693,599,045,586,388,730,559,030,072,004,182,223,
032,872,162,951,998,732,138,760,167,930,284,411,389,159,900,416,794,580,703,
268,278,082,429,850,039,071,357,398,269,766,333,099,543,074,238,571,409,172,
907,980,197,822,146,001,356,670,554,957,103,393,596,594,796,277,604,014,857,
157,106,126,119,549,481,467,509,530,855,747,045,719,800,157,346,011,428,819,
308,628,324,153,466,150,517,244,694,197,250,538,612,297,903,749,767,768,335,
733,397,758,980,192,931,989,835,533,145,775,364,215,858,957,662,100,309,695,
481,994,818,229,138,711,922,793,847,091,204,105,691,130,381,886,222,641,074,
317,340,700,114,231,305,070,404,346,466,570,063,233,035,106,524,627,187,869,
472,338,762,752,300,594,478,343,688,580,457,264,427,782,942,001,755,103,558,
957,504,375,439,725,812,436,516,607,602,731,471,532,844,324,099,227,262,665,
311,491,534,039,602,407,095,687,910,469,867,798,324,260,421,178,202,000,061,
597,151,732,823,459,237,063,783,390,265,466,034,337,460,475,294,231,718,646,
473,475,473,221,684,706,270,944,739,128,105,349,429,705,139,021,664,533,379,
167,312,470,374,159,282,762,067,335,383,170,639,111,975,026,602,087,014,324,
142,492,516,549,956,213,307,319,468,778,432,602,102,715,262,524,515,797,453,
268,103,279,315,921,563,711,086,762,039,752,448,130,159,182,248,245,326,159,
204,800,056,651,829,412,217,980,213,407,007,660,777,453,911,862,166,438,044,
233,385,810,267,234,730,801,855,191,473,848,640,505,443,074,496,470,958,834,
421,353,971,467,535,897,022,939,003,236,905,170,897,427,350,379,439,497,580,
642,017,472,133,378,965,968,604,505,521,251,053,349,301,547,787,878,513,832,
565,625,217,784,696,507,216,858,061,721,733,293,958,623,032,426,726,477,229,
272,115,999,274,574,461,053,303,373,816,942,715,054,510,752,557,110,127,144,
480,023,537,200,401,879,828,760,885,451,013,847,790,633,150,582,483,606,105,
663,120,939,024,203,795,388,494,849,454,342,940,067,451,331,698,920,182,622,
002,551,372,480,416,011,913,958,375,984,056,548,149,305,498,675,877,192,004,
227,789,676,531,239,518,959,679,897,369,290,765,717,594,781,589,849,914,857,
041,793,741,384,282,745,261,887,244,979,045,273,682,831,794,016,628,671,785,
919,129,842,212,312,963,080,744,914,992,080,235,300,738,831,989,353,494,296,
732,173,682,902,487,319,776,782,414,515,477,149,356,954,136,427,789,977,030,
709,456,227,312,036,830,045,863,814,063,285,835,681,188,087,917,919,785,060,
819,510,940,879,892,201,968,378,649,822,128,570,537,973,918,287,885,297,692,
670,886,268,015,331,575,378,799,113,167,045,067,852,141,316,715,996,090,095,
531,078,596,171,899,221,746,177,634,316,931,516,779,979,797,171,663,562,711,
128,495,400,396,217,910,302,435,508,857,978,751,063,438,393,315,721,986,148,
738,253,161,517,472,686,121,667,739,343,034,538,358,330,994,197,647,254,438,
930,274,218,801,997,212,815,408,248,833,530,023,356,399,243,765,589,195,996,
614,016,639,882,071,788,674,235,895,646,667,591,232,704,702,043,867,120,997,
824,973,854,231,074,474,753,026,211,603,545,174,751,795,576,645,031,148,156,
830,329,842,540,839,816,595,437,535,826,606,484,468,519,635,695,056,698,746,
024,785,026,878,999,902,426,561,297,082,751,464,436,582,580,358,885,370,458,
094,245,648,730,850,160,435,474,506,872,766,913,808,475,362,312,598,522,062,
610,964,599,437,475,222,103,356,945,792,541,661,060,976,204,009,017,473,687,
458,239,210,720,336,264,660,587,660,510,319,716,289,282,299,180,101,258,754,
036,775,108,205,179,401,511,836,678,755,608,166,492,924,397,582,808,975,730,
257,249,257,766,644,079,495,961,952,455,777,360,085,694,945,433,218,559,571,
393,468,404,201,806,647,437,510,849,833,823,617,872,129,049,265,262,204,457,
231,314,237,971,852,791,160,457,450,693,651,776,958,366,898,646,187,212,842,
299,044,255,770,056,852,681,524,889,580,452,915,253,798,067,748,028,667,334,
816,414,041,418,863,093,118,484,996,534,283,552,163,962,413,406,739,618,543,
397,116,070,470,723,616,991,609,923,697,909,390,697,189,330,643,493,079,375,
275,517,678,322,542,711,808,532,871,166,236,353,391,786,567,156,622,120,296,
430,097,448,809,076,345,187,106,277,900,493,948,435,926,063,471,925,792,906,
421,145,987,872,376,467,975,581,992,662,756,171,155,134,357,305,575,137,876,
738,384,505,302,407,120,856,164,681,666,746,930,230,292,857,751,653,303,492,
835,448,138,645,925,712,521,205,624,628,372,609,804,669,958,870,414,629,024,
378,558,157,464,661,355,162,873,960,804,843,752,792,701,290,458,952,087,944,
566,525,376,005,734,164,801,781,728,663,663,996,740,150,627,873,246,748,813,
645,764,411,675,546,382,347,012,633,967,710,559,817,053,997,383,132,236,521,
186,136,472,408,146,287,079,118,226,427,723,151,123,369,943,613,585,046,520,
091,318,867,852,236,050,661,969,902,789,410,866,922,113,704,651,612,750,180,
486,527,933,080,049,431,259,937,138,111,642,810,223,870,509,162,029,612,158,
520,516,868,085,999,076,508,401,651,122,831,408,012,962,808,412,368,842,014,
695,587,127,414,680,178,171,728,685,471,762,424,543,186,789,507,016,789,369,
268,770,814,863,247,133,682,594,027,837,600,914,822,148,331,274,679,207,151,
851,967,987,750,594,542,899,608,837,308,971,734,596,505,685,747,692,718,918,
677,712,909,634,557,258,771,405,334,629,831,604,260,449,415,757,866,432,234,
744,042,256,072,435,206,478,998,309,610,191,278,786,394,634,649,735,588,952,
818,907,639,555,993,055,588,959,305,971,142,825,870,415,072,441,898,154,633,
664,063,743,941,136,007,354,645,620,500,345,995,663,846,139,325,139,323,285,
182,533,706,911,189,338,572,527,179,698,234,707,313,702,721,912,373,754,933,
396,768,689,770,069,201,906,230,572,078,662,969,421,859,351,419,400,310,850,
239,129,780,390,089,447,810,312,098,808,596,290,873,003,991,062,014,344,753,
358,549,800,333,925,258,199,378,466,400,464,345,399,351,642,164,268,851,523,
974,702,385,354,090,161,569,298,758,815,292,785,405,230,351,855,516,047,733,
952,039,724,169,299,488,883,686,006,193,495,567,120,907,780,504,869,860,234,
057,693,955,807,711,433,671,807,360,651,091,032,332,808,380,410,579,295,760,
666,528,945,128,504,741,121,434,047,615,722,527,464,690,624,357,849,403,920,
513,935,863,471,212,160,305,548,165,650,358,667,413,135,152,715,730,816,939,
400,228,484,086,646,539,465,999,399,288,882,278,692,995,801,163,841,219,150,
700,937,774,060,745,980,527,304,464,232,006,084,266,835,465,110,970,202,723,
548,636,041,554,204,571,091,005,504,397,008,064,726,244,408,757,422,610,959,
930,534,435,660,722,126,988,876,338,609,811,999,392,816,701,461,934,446,853,
852,042,893,217,768,660,105,165,185,959,885,316,354,024,259,488,515,379,966,
612,129,092,891,018,704,063,304,683,612,153,936,439,862,060,977,235,332,064,
339,843,035,332,704,419,915,715,080,198,931,242,930,889,265,430,947,579,492,
269,006,643,926,601,970,103,254,426,648,736,736,896,477,876,390,722,536,613,
464,863,007,129,202,932,154,704,271,506,613,912,500,586,765,848,231,598,556,
597,290,084,831,304,431,694,666,866,914,509,096,782,852,856,104,586,549,264,
799,624,090,132,606,565,149,830,027,403,250,872,474,500,208,204,736,500,661,
874,427,396,888,855,054,877,313,074,229,412,152,020,797,146,290,322,432,057,
343,656,553,941,110,466,623,689,971,993,282,415,971,694,095,538,802,272,052,
762,243,453,886,136,073,595,482,157,170,535,447,410,283,874,493,015,944,685,
545,717,639,876,989,811,787,891,880,595,731,155,730,516,584,518,007,293,590,
819,175,919,576,659,924,067,140,035,313,863,860,757,206,828,819,962,702,025,
389,087,938,296,806,637,955,582,483,854,200,256,011,033,969,907,311,011,487,
097,682,749,496,477,615,645,843,979,707,682,891,542,680,032,342,212,586,210,
096,362,076,445,772,919,829,035,867,142,997,179,877,796,092,006,092,590,165,
769,511,589,224,482,425,235,879,876,650,978,623,974,641,032,773,478,582,622,
968,705,470,349,400,258,515,247,623,763,919,957,397,191,724,969,447,716,280,
120,882,193,935,087,675,629,683,049,974,266,624,182,798,184,201,740,850,426,
090,838,762,674,711,679,384,798,396,516,459,434,774,131,489,197,100,335,457,
109,598,131,286,064,183,516,320,661,496,846,348,815,324,961,605,806,005,131,
262,564,146,851,205,101,506,186,182,317,525,086,191,722,420,732,830,313,469,
288,928,499,850,227,245,238,817,012,031,845,833,612,363,914,276,224,002,632,
888,222,355,570,729,186,092,808,443,355,799,664,925,684,389,002,387,028,895,
173,602,572,964,405,193,950,158,126,622,228,881,925,108,061,883,200,100,765,
924,878,563,514,135,821,415,955,850,630,682,945,432,301,705,308,533,047,964,
556,594,995,188,840,947,086,076,928,571,532,011,847,709,110,426,345,690,120,
435,304,102,378,186,981,346,718,327,078,779,031,171,704,463,381,983,622,030,
115,804,673,618,603,132,559,031,650,568,531,116,732,619,374,690,545,723,581,
990,282,276,074,514,620,684,878,503,277,025,734,845,611,915,671,663,474,861,
143,420,740,167,650,024,302,109,732,506,429,015,876,964,480,400,574,581,530,
752,337,162,346,924,178,759,131,404,261,600,553,501,785,534,306,104,933,364,
732,452,330,356,376,954,075,349,414,837,207,738,142,562,355,100,535,109,706,
667,416,104,709,415,236,281,740,928,387,097,744,737,710,496,454,629,414,004,
765,005,095,342,107,305,670,081,896,226,870,686,202,827,596,397,961,650,271,
257,473,153,862,721,396,183,727,292,090,240,724,018,651,297,337,489,439,434,
720,067,249,959,745,240,774,624,494,797,486,473,468,707,490,912,685,310,197,
276,814,795,236,549,123,206,326,567,563,738,493,887,441,470,094,382,198,807,
026,961,781,825,853,312,583,862,454,617,803,291,643,356,503,698,186,846,656,
246,084,149,461,169,005,893,861,158,491,485,329,776,320,355,695,471,385,869,
056,429,016,035,353,552,184,697,960,856,744,768,067,059,473,388,533,083,963,
222,705,838,132,264,545,566,947,549,695,260,251,467,941,252,387,713,602,070,
244,946,418,393,992,163,443,231,098,531,724,725,880,744,174,102,099,795,813,
408,167,882,623,453,632,742,244,725,755,792,535,569,814,825,680,804,153,673,
738,028,480,052,966,312,533,820,273,555,989,763,477,125,008,582,722,865,830,
186,712,424,918,849,242,675,741,050,070,564,245,787,605,603,884,046,020,822,
388,656,215,241,713,001,510,377,504,189,975,995,434,671,928,884,495,482,722,
965,259,132,446,675,880,331,838,817,535,622,869,580,464,595,264,096,056,240,
150,183,545,261,083,578,134,110,794,416,499,122,727,159,488,585,102,075,065,
312,551,818,095,206,284,166,626,376,784,707,806,486,254,673,566,442,498,330,
167,603,302,575,040,351,522,220,787,503,700,040,221,044,465,181,212,110,979,
953,742,743,583,188,508,715,983,002,756,012,508,772,914,517,089,653,372,076,
335,473,514,306,510,140,556,688,537,204,578,939,615,884,322,712,238,196,899,
089,902,485,101,359,464,978,823,820,520,747,655,652,354,109,708,147,374,466,
139,541,344,922,085,457,119,664,046,517,930,925,189,176,796,285,423,717,758,
784,691,475,865,521,779,393,197,328,773,271,875,700,934,536,976,747,306,948,
941,378,099,647,636,161,232,072,779,702,275,149,447,020,781,226,153,316,521,
079,231,323,513,074,757,888,135,011,801,053,389,347,425,321,005,209,419,796,
325,036,864,588,566,947,681,167,326,728,915,829,824,818,829,242,538,780,515,
037,828,207,950,799,553,768,517,625,461,024,211,827,297,079,299,365,268,927,
168,990,443,883,771,555,636,855,744,361,259,643,737,896,972,690,417,297,121,
279,231,545,064,956,640,473,424,493,093,873,276,286,748,877,593,248,404,984,
375,488,069,624,398,028,506,141,125,215,324,848,280,608,821,922,410,233,629,
168,895,528,301,866,724,678,345,804,824,901,105,012,442,148,909,989,742,520,
028,969,423,541,231,000,024,784,506,297,616,466,880,191,399,402,354,675,839,
571,904,274,465,094,520,895,480,341,334,773,545,790,096,688,467,959,879,152,
205,413,901,881,557,231,053,374,617,743,576,473,178,941,305,773,444,918,925,
712,351,710,700,051,783,407,895,902,131,122,006,383,194,715,820,349,357,523,
182,355,471,366,313,951,054,552,258,485,999,484,954,381,657,310,883,373,779,
385,788,678,328,581,022,366,985,269,696,539,170,219,756,295,940,121,221,117,
485,280,084,382,097,499,716,186,511,709,739,698,595,309,902,626,373,865,812,
334,436,239,910,628,383,039,698,674,028,890,504,949,391,996,048,804,892,911,
666,321,476,125,886,156,358,765,663,971,923,301,937,172,900,150,849,617,348,
110,846,845,554,569,049,872,058,598,083,490,952,054,072,883,153,644,840,779,
416,303,417,608,154,162,561,029,185,680,368,916,222,188,104,571,639,254,084,
042,459,035,055,351,500,703,561,810,758,827,486,815,859,191,119,757,840,390,
436,122,017,616,755,948,785,483,476,223,984,685,123,498,321,210,122,628,515,
925,965,070,010,636,601,460,751,500,361,021,043,530,842,174,192,168,648,040,
848,086,934,566,207,330,191,763,467,904,565,915,756,233,401,118,938,814,110,
705,131,791,411,837,939,473,249,969,617,771,906,624,277,171,102,879,868,969,
384,681,108,572,431,591,999,568,491,046,021,554,059,032,314,320,358,933,653,
632,465,617,828,242,401,435,187,529,828,153,907,157,906,993,518,181,060,143,
613,187,205,979,834,089,549,370,071,850,938,907,163,601,985,256,232,659,360,
501,204,897,157,203,589,072,922,263,820,841,744,140,843,591,055,691,014,136,
455,695,323,438,388,232,831,897,235,529,879,152,216,028,377,542,198,961,779,
392,992,223,751,920,603,318,182,727,078,766,724,737,032,838,548,391,907,090,
889,004,207,362,910,424,436,883,032,041,655,695,954,448,201,199,188,905,152,
570,239,062,639,749,816,022,465,762,791,169,041,011,711,739,069,399,187,614,
200,930,437,717,566,156,236,500,155,673,657,981,430,789,517,157,425,351,587,
283,654,223,095,313,041,418,343,721,749,694,579,991,012,147,415,015,574,051,
276,117,400,243,902,933,844,587,017,896,002,160,658,463,561,085,807,532,806,
877,845,801,732,250,751,267,175,771,092,508,421,535,816,214,789,845,639,317,
747,575,382,926,808,244,792,433,909,582,233,600,626,094,682,968,672,923,942,
973,860,559,487,058,167,556,025,183,405,615,872,986,797,756,938,445,818,217,
162,788,322,144,622,322,215,807,418,435,460,866,344,668,652,969,171,858,175,
843,887,944,417,517,969,665,395,113,723,758,649,093,234,978,234,813,417,271,
350,480,351,980,012,935,882,166,614,630,623,821,505,940,125,126,935,252,732,
698,609,912,758,839,246,066,545,269,026,295,490,803,249,098,515,717,820,111,
620,209,256,330,304,590,337,449,809,664,748,971,623,458,731,414,195,832,090,
742,941,316,842,500,837,129,468,234,549,326,794,089,141,185,800,616,860,263,
940,674,698,883,044,760,199,195,497,724,424,393,043,103,677,551,661,387,841,
829,124,085,233,690,368,639,671,806,959,031,605,253,990,530,083,526,088,810,
706,466,490,169,481,924,986,928,729,056,651,719,138,461,212,219,327,982,505,
718,298,203,336,258,546,176,738,130,061,985,287,602,953,416,612,676,953,148,
558,418,323,895,855,876,838,523,326,422,677,361,184,963,382,866,608,070,849,
314,906,948,472,280,156,385,216,998,942,307,446,655,852,571,423,911,236,538,
215,288,350,489,710,974,175,209,089,098,001,507,218,202,765,116,935,675,296,
086,644,498,394,757,199,887,330,820,838,106,031,640,581,510,818,926,956,326,
277,422,098,873,574,955,255,319,734,485,204,760,936,281,864,692,271,544,440,
048,277,284,328,328,077,804,840,186,866,196,190,287,975,344,027,710,468,085,
030,888,074,227,588,613,317,268,881,932,259,212,337,668,665,422,382,500,333,
394,201,330,170,726,839,193,765,076,509,146,270,001,762,513,829,376,804,811,
083,646,772,772,119,790,458,076,612,581,573,658,878,527,174,325,123,542,734,
496,551,290,742,797,390,150,375,439,500,174,835,466,661,073,392,374,842,023,
514,201,409,710,283,188,697,480,371,692,913,570,845,756,826,587,509,060,452,
311,585,538,747,466,062,366,165,316,652,383,002,733,923,832,229,192,717,867,
974,939,051,817,518,071,555,327,437,936,848,364,434,852,786,302,170,707,894,
558,373,164,770,763,920,263,701,956,727,035,962,713,017,094,253,280,513,231,
896,589,650,711,969,148,387,011,568,557,969,129,989,731,777,180,597,428,840,
747,291,474,154,744,932,371,073,911,501,457,451,375,364,324,958,178,364,686,
553,347,057,700,257,671,072,564,322,535,048,069,266,306,531,925,746,144,568,
887,754,009,921,705,133,811,415,852,074,753,883,051,865,157,233,052,852,304,
160,231,582,001,958,780,109,468,493,506,431,378,800,098,039,639,247,745,700,
669,893,354,993,943,538,043,516,333,203,526,673,071,981,108,952,518,408,032,
316,681,527,609,134,868,169,059,169,211,973,930,127,771,179,119,051,513,240,
789,645,204,294,873,642,774,348,170,913,952,181,143,179,347,413,110,791,373,
267,519,997,644,203,144,939,594,915,774,771,292,468,476,008,111,065,551,450,
257,837,460,840,057,872,962,027,870,544,419,365,228,178,150,592,260,961,641,
051,454,256,767,063,493,441,805,836,285,847,234,665,950,222,265,959,995,451,
931,494,225,172,100,645,673,988,564,850,571,495,794,535,279,031,251,366,659,
546,562,912,517,333,112,540,661,979,736,866,860,908,479,224,878,970,393,780,
093,622,930,045,871,097,135,975,626,464,650,455,605,720,817,667,446,949,281,
702,543,739,768,272,311,884,180,779,934,767,687,639,565,834,549,616,570,380,
167,217,577,258,202,677,218,603,889,249,791,818,240,443,584,072,963,075,088,
512,880,334,292,374,456,989,519,917,850,378,647,999,634,252,524,098,897,199,
018,089,222,953,465,176,493,887,841,435,291,565,255,915,206,061,114,083,179,
725,802,968,761,385,376,401,148,202,790,569,562,498,197,277,108,330,429,951,
001,695,499,070,655,213,503,585,245,029,975,345,289,911,735,320,722,364,881,
409,413,978,211,142,263,135,483,725,422,291,229,842,024,508,917,406,849,012,
178,291,112,749,582,539,241,411,980,092,701,040,499,369,671,507,929,063,112,
588,117,943,066,208,068,426,571,522,617,221,598,310,777,681,227,296,614,349,
851,061,241,004,697,337,032,024,045,423,793,911,930,265,968,734,922,919,384,
208,775,663,080,723,004,566,914,047,046,410,570,641,329,036,704,296,959,555,
169,639,953,160,730,195,897,458,499,338,639,724,532,540,363,793,493,266,763,
036,354,351,043,636,592,882,008,666,523,704,319,340,601,287,813,002,537,596,
160,265,569,152,850,045,305,884,514,387,458,986,792,299,137,645,269,897,619,
133,787,200,790,704,388,686,849,723,325,924,568,619,396,580,960,693,695,409,
294,778,353,314,530,826,743,194,163,446,723,292,931,664,115,817,092,748,699,
314,962,636,983,009,899,408,635,604,278,563,401,431,678,891,261,418,513,855,
849,398,265,840,314,394,189,330,899,469,627,192,937,697,212,028,167,770,675,
017,612,011,248,847,897,846,232,806,838,424,190,956,751,791,908,275,294,549,
055,287,467,256,713,155,635,361,084,766,313,828,378,021,336,158,603,177,198,
770,562,742,324,950,902,044,936,273,430,935,599,922,108,225,061,346,629,785,
168,006,671,223,264,632,610,210,446,425,638,154,828,272,952,910,292,635,634,
680,387,870,235,923,273,500,903,432,917,548,915,011,955,574,949,393,283,349,
843,190,620,823,991,720,223,900,685,205,487,888,594,221,887,201,277,636,405,
680,570,608,178,084,342,853,395,873,449,087,431,156,963,313,422,251,392,849,
366,602,848,850,506,557,373,898,711,849,000,427,982,253,005,085,531,059,570,
948,006,207,188,446,186,605,590,306,419,191,697,740,712,278,518,294,863,122,
536,745,135,327,600,192,829,339,413,301,574,938,817,833,281,358,555,352,478,
746,130,788,499,587,111,430,701,983,331,751,261,075,350,284,980,830,112,060,
798,703,211,860,296,000,387,627,042,867,139,069,796,856,291,754,868,155,259,
248,920,368,114,337,720,401,887,662,585,074,464,291,248,339,596,299,784,037,
005,549,816,357,623,246,750,665,799,384,347,248,386,600,781,874,397,058,889,
128,123,707,740,044,723,031,785,436,396,206,051,440,635,874,351,595,684,086,
942,108,127,869,538,079,430,563,153,701,302,419,812,938,259,468,351,001,976,
617,012,733,518,862,261,468,921,834,204,769,517,075,944,354,909,789,822,998,
043,770,743,111,038,465,405,628,022,713,263,999,299,457,739,675,728,745,756,
339,297,189,402,676,501,361,367,877,592,744,801,845,044,913,363,365,626,353,
418,029,698,239,401,665,707,037,169,975,260,200,834,904,684,130,497,036,710,
209,333,506,433,165,598,724,816,348,217,990,176,557,296,536,392,542,857,737,
691,166,150,618,796,004,716,242,037,150,204,920,835,126,933,836,138,400,271,
777,825,539,942,294,721,422,460,866,625,299,252,677,763,422,903,930,046,979,
406,060,868,877,437,373,387,713,575,377,816,101,555,052,321,365,452,620,634,
884,269,470,642,621,028,468,040,978,810,485,337,840,141,136,329,433,558,807,
610,972,603,416,117,904,312,940,098,668,467,401,014,614,483,039,797,036,644,
446,884,819,251,268,560,790,937,658,781,887,511,402,041,144,743,487,350,743,
872,542,119,054,907,361,252,858,241,383,844,788,748,237,227,189,862,825,918,
339,864,962,795,328,148,378,336,143,265,588,343,492,068,378,604,898,738,683,
141,718,305,321,554,287,738,565,109,476,012,915,100,336,901,249,596,281,159,
925,573,216,908,667,265,196,655,869,422,812,312,222,289,563,806,599,822,809,
295,108,047,399,836,464,928,484,859,198,417,543,359,715,968,646,970,608,408,
159,404,536,483,231,999,652,508,990,272,782,860,160,392,664,644,946,698,675,
130,373,661,180,580,723,852,439,709,248,101,760,524,172,385,838,248,918,605,
929,840,149,956,051,689,301,498,213,808,277,365,377,247,583,738,403,642,875,
991,116,909,983,239,903,842,362,727,037,495,732,157,936,481,165,203,139,936,
965,520,548,006,834,334,689,377,780,216,597,345,428,671,172,879,907,836,326,
734,256,584,702,673,300,032,865,169,238,951,218,199,281,447,984,933,703,950,
906,244,428,246,671,117,206,471,248,614,433,850,746,003,411,981,904,932,463,
902,660,247,525,906,125,980,622,941,504,617,186,086,384,616,651,522,183,457,
743,490,400,462,210,561,504,741,440,422,255,256,482,611,176,352,986,892,170,
010,738,635,647,509,827,639,109,388,068,646,712,145,822,360,002,174,160,017,
694,441,554,257,211,841,411,750,469,779,464,473,930,406,234,913,289,741,033,
769,726,006,403,557,142,626,408,064,185,993,884,129,214,815,643,581,309,608,
169,845,384,409,135,597,633,035,424,213,970,107,569,537,590,921,997,991,364,
443,596,112,191,000,405,786,573,944,421,561,842,683,722,862,816,854,931,778,
464,975,837,517,227,353,914,803,344,697,224,836,854,178,842,860,226,028,053,
009,559,849,645,553,870,611,186,855,339,780,415,647,436,378,242,613,868,519,
480,404,164,942,440,648,873,504,288,892,878,303,684,210,463,849,370,014,480,
622,138,796,958,080,949,191,018,445,039,658,838,563,936,878,615,584,331,751,
563,500,282,461,952,971,078,546,244,495,167,839,934,258,633,060,989,767,806,
187,721,259,488,751,546,212,200,525,703,665,924,222,613,566,675,845,013,496,
825,709,117,626,635,642,793,329,844,941,949,903,972,782,549,235,041,329,847,
457,813,829,989,307,229,387,396,580,682,096,836,194,001,507,886,270,942,799,
262,631,693,374,939,182,123,400,829,928,077,015,028,692,413,056,377,104,014,
118,951,860,755,155,667,187,192,491,160,873,786,657,427,091,735,377,863,814,
613,615,286,307,298,532,698,370,709,817,197,406,340,935,415,981,014,222,209,
868,995,355,201,513,806,477,933,609,035,580,622,477,875,530,774,018,478,833,
218,913,136,933,573,698,226,785,836,669,065,628,598,028,121,197,044,498,966,
073,088,162,750,275,078,048,635,223,263,674,384,652,342,644,520,218,890,389,
327,505,909,465,191,985,048,026,217,973,866,775,522,558,720,678,964,951,746,
524,759,859,448,263,149,023,867,930,894,438,665,798,108,623,214,969,581,891,
469,238,056,517,069,813,213,396,005,422,321,904,386,270,628,908,555,483,864,
915,091,221,278,122,601,041,460,184,890,382,323,039,285,747,882,217,612,748,
298,775,869,966,942,857,778,919,677,439,781,149,949,961,582,195,251,730,502,
023,285,904,008,028,544,129,306,857,235,862,324,730,918,218,602,253,371,325,
549,741,298,039,240,591,043,889,482,007,417,413,833,797,555,450,185,962,400,
204,005,882,325,653,908,165,280,186,705,878,100,584,651,904,938,004,865,067,
943,024,839,822,191,138,730,194,273,932,111,842,867,380,991,125,227,183,612,
527,322,215,191,742,858,762,107,560,464,628,250,931,235,098,143,191,123,800,
409,354,747,185,033,918,427,344,852,010,690,933,754,932,081,358,882,748,468,
470,866,929,917,832,822,480,458,060,861,672,935,799,055,549,174,170,711,311,
954,057,432,312,593,132,051,140,661,291,764,640,325,817,794,409,766,880,444,
365,405,358,355,717,701,986,429,444,755,149,936,942,465,036,021,257,996,253,
940,916,589,790,597,753,351,400,426,196,870,359,977,292,730,966,874,190,265,
896,401,426,251,084,201,862,948,833,612,908,187,297,001,854,815,596,547,875,
845,470,335,416,229,631,442,451,131,464,955,992,451,827,399,848,159,801,210,
412,967,578,424,826,006,636,359,848,522,235,842,152,850,159,945,836,722,938,
067,122,387,053,125,059,761,880,272,643,512,332,244,021,574,395,835,085,491,
829,069,270,256,893,765,864,731,646,416,042,844,087,929,930,037,462,424,585,
476,743,674,890,798,430,248,715,862,686,679,301,015,574,081,272,689,936,427,
025,098,651,668,015,683,737,188,684,361,080,346,130,679,437,401,717,823,179,
965,007,711,361,834,278,167,964,906,167,525,454,732,576,944,146,760,813,036,
848,924,340,172,122,571,697,511,387,336,884,254,818,558,456,895,715,596,035,
587,686,006,150,700,174,688,990,851,468,828,478,353,160,896,139,654,740,730,
309,936,477,138,412,044,781,694,183,961,259,784,691,617,269,019,475,601,474,
351,987,014,416,559,841,628,746,512,666,998,789,693,485,962,393,194,574,126,
887,940,233,890,863,002,203,724,085,053,863,648,358,480,532,606,371,586,567,
758,291,682,482,306,014,374,814,325,600,772,433,936,737,994,848,848,084,118,
738,226,925,089,001,990,577,939,005,201,393,360,613,461,878,062,259,592,152,
725,382,368,477,926,327,785,224,315,647,779,778,138,957,793,516,207,018,340,
544,020,112,310,645,894,092,042,954,802,405,628,425,966,692,197,957,665,289,
859,469,479,057,320,195,804,491,557,826,916,564,713,394,656,028,693,578,304,
427,379,183,434,276,893,454,511,978,641,820,138,106,124,202,004,054,727,909,
548,135,915,874,359,668,739,435,489,585,337,302,703,156,791,358,407,083,114,
094,176,329,270,377,475,969,283,139,043,214,281,615,059,960,073,711,332,880,
484,074,007,980,211,935,155,146,910,020,446,837,651,291,004,762,414,730,946,
780,931,200,763,021,933,264,729,090,456,315,933,949,226,281,826,601,183,868,
086,072,359,947,313,228,867,213,835,249,411,280,464,638,102,398,567,316,162,
404,298,522,642,513,594,187,986,854,709,816,264,292,847,452,869,275,884,353,
314,895,640,714,726,888,519,557,666,295,601,978,751,596,738,445,071,017,479,
537,077,934,534,122,453,057,523,852,499,340,434,540,306,757,112,736,093,527,
397,587,815,267,581,683,181,088,837,364,773,518,007,490,727,880,794,747,164,
820,537,195,149,972,821,458,859,685,008,497,601,988,164,346,397,705,727,075,
606,753,695,237,660,985,802,310,040,471,525,316,573,436,151,679,750,174,754,
703,034,366,146,381,574,503,491,746,047,006,915,857,122,688,828,579,582,295,
163,320,398,399,256,575,512,149,898,464,778,969,445,204,479,557,529,098,073,
176,012,650,702,484,446,157,093,356,343,069,368,899,764,170,314,181,331,822,
452,329,813,601,739,902,939,501,250,978,227,384,945,300,131,813,173,846,723,
278,505,662,913,682,965,368,509,943,888,373,157,005,741,241,237,967,081,950,
388,089,609,580,849,143,432,597,625,109,623,527,269,740,160,000,439,190,050,
342,989,206,506,790,393,025,286,744,025,074,178,616,811,319,715,459,551,908,
642,451,049,912,248,066,316,903,934,811,276,460,968,712,229,962,448,826,369,
050,787,695,151,950,107,987,196,083,566,700,700,108,422,557,162,174,248,750,
201,688,187,226,169,036,364,198,317,947,417,345,526,596,937,102,499,146,670,
495,301,741,060,304,700,652,217,493,347,522,007,838,501,086,852,793,140,459,
818,304,842,489,973,949,333,647,390,961,028,492,969,941,567,787,099,531,585,
782,362,195,618,279,029,418,240,747,624,921,649,910,320,696,734,967,069,650,
179,479,305,219,401,925,028,508,038,502,462,298,335,017,433,506,540,408,362,
676,726,374,042,219,043,397,517,610,482,195,559,929,954,436,740,182,005,101,
827,258,611,540,909,934,296,542,206,384,035,753,104,296,900,192,779,289,896,
382,006,204,649,156,140,370,218,611,144,905,392,902,197,234,235,383,944,645,
850,189,198,362,556,876,209,423,071,124,086,161,702,843,340,482,988,457,402,
435,112,731,201,092,750,658,511,919,750,448,909,991,392,986,781,547,543,032,
750,899,705,411,892,920,468,234,100,516,672,665,517,091,049,088,302,772,674,
927,900,705,857,815,688,974,951,295,447,314,158,716,403,967,237,524,933,419,
200,257,869,808,108,854,071,147,790,755,986,892,461,487,422,780,552,017,717,
947,497,322,205,021,969,767,913,943,040,221,093,774,762,140,499,534,682,265,
674,683,669,933,130,152,190,693,514,466,138,328,571,324,384,181,567,913,372,
483,802,751,495,664,013,297,475,657,680,009,834,565,898,758,368,462,006,238,
200,332,559,030,775,051,551,485,817,733,707,749,400,671,012,554,446,549,725,
474,198,976,058,464,811,489,407,244,623,823,295,583,069,512,725,615,378,661,
777,596,419,715,327,941,434,413,986,370,711,762,909,096,212,488,922,888,428,
936,943,111,945,695,483,740,381,506,805,224,881,427,652,040,595,436,745,957,
615,617,874,687,035,404,892,724,851,899,818,806,784,216,277,715,416,571,329,
717,080,108,687,304,885,190,288,529,983,495,154,951,041,068,035,062,069,418,
644,439,767,639,866,124,821,024,191,838,428,316,291,057,778,586,347,649,800,
237,627,312,289,902,722,693,827,446,892,848,273,537,328,631,396,198,860,984,
839,898,828,568,715,227,269,613,107,625,517,451,648,389,246,766,952,404,726,
537,973,468,123,025,147,331,607,031,167,127,947,186,978,741,485,737,372,355,
584,722,787,688,483,008,318,967,602,160,906,162,216,161,213,960,255,254,989,
180,455,290,730,287,649,745,429,736,990,139,788,908,540,837,752,732,106,738,
683,110,962,996,157,127,114,361,512,288,494,913,095,210,989,865,157,100,028,
846,910,803,604,718,417,206,676,949,641,788,831,537,929,102,401,885,764,731,
508,088,043,096,529,868,456,525,947,412,206,857,645,734,278,792,116,895,157,
245,586,212,489,278,850,783,960,474,430,494,760,610,171,029,163,073,741,294,
394,865,853,740,680,177,003,650,514,318,278,242,477,538,160,536,922,674,418,
380,452,023,037,009,096,886,957,034,512,001,285,232,606,095,970,059,507,584,
131,835,170,415,664,335,087,341,469,380,039,314,060,239,516,337,437,189,025,
466,157,005,218,294,213,198,927,516,160,038,120,902,961,517,130,435,128,979,
042,161,372,349,987,035,727,272,873,220,672,500,980,555,854,162,054,462,675,
936,224,257,362,671,975,586,885,248,188,855,792,521,570,290,870,447,260,851,
783,016,651,144,483,931,139,292,850,675,215,395,278,857,801,400,145,897,737,
674,246,425,841,154,256,627,876,777,890,518,941,749,988,474,641,060,129,547,
389,276,697,283,941,101,583,612,353,429,663,855,786,404,992,625,689,554,767,
896,053,898,377,090,166,984,349,697,349,269,600,549,176,807,874,008,764,516,
295,907,862,053,980,512,963,909,339,324,415,057,365,472,158,356,759,017,668,
371,584,727,926,906,233,942,628,985,044,603,173,112,233,215,744,951,608,926,
143,247,298,015,640,154,209,798,813,438,757,234,115,849,406,187,162,083,018,
686,985,756,691,256,479,512,089,139,917,748,465,592,309,168,829,616,077,568,
648,208,005,674,942,370,286,777,593,492,840,220,534,346,767,211,086,608,640,
278,369,776,625,823,224,828,421,469,137,196,862,004,198,418,870,543,291,746,
033,025,958,745,275,242,286,907,204,769,847,314,442,307,652,595,387,957,788,
578,986,079,966,635,716,818,229,026,834,438,373,995,783,934,573,414,475,760,
344,287,300,496,967,372,975,963,883,145,430,013,347,955,277,420,711,408,848,
727,319,766,682,149,458,771,494,756,792,278,731,627,039,280,955,991,815,732,
830,997,334,305,167,474,688,594,666,395,708,063,283,596,610,788,191,980,325,
992,326,277,675,093,468,810,154,018,533,990,885,121,460,590,744,583,992,258,
796,155,213,767,116,248,767,604,260,252,080,114,567,042,599,166,720,747,960,
522,165,081,664,044,663,887,884,155,191,922,977,758,618,295,945,507,971,992,
283,440,009,658,805,502,175,487,216,700,222,350,313,673,212,002,780,848,189,
474,699,072,213,850,307,242,789,550,115,724,737,067,252,464,854,229,707,897,
837,160,489,312,856,599,861,392,589,061,371,248,071,555,165,481,742,225,075,
194,165,889,782,387,458,846,941,771,555,887,893,856,030,192,628,784,992,288,
841,146,810,702,681,086,660,028,211,015,270,521,663,004,321,158,746,608,205,
010,713,427,310,339,655,284,179,838,712,493,625,142,424,969,071,656,006,322,
490,279,534,348,448,013,049,197,931,736,105,302,645,528,317,348,445,257,421,
295,613,415,533,977,886,321,720,209,209,679,732,221,624,875,857,030,548,315,
790,502,292,297,850,793,884,168,573,906,597,337,075,332,970,136,554,237,457,
406,729,469,412,099,709,941,587,678,309,040,150,062,338,046,215,262,858,595,
196,419,668,005,133,679,835,665,627,705,756,901,079,783,894,058,953,422,017,
974,510,775,995,459,987,015,167,035,624,381,908,679,131,050,046,793,611,091,
655,069,615,659,533,466,365,617,919,756,732,817,930,820,177,307,357,814,551,
781,942,109,555,218,004,730,742,687,151,810,144,288,941,041,285,831,266,285,
116,608,589,415,730,913,749,852,847,107,895,783,162,586,851,961,385,380,343,
932,563,422,149,143,182,981,851,719,280,835,469,558,273,118,235,329,640,828,
284,096,224,236,869,905,779,309,403,323,095,125,245,296,343,076,800,461,041,
941,988,348,699,880,789,035,981,034,586,887,520,357,295,679,950,395,170,604,
237,582,195,490,334,323,739,843,743,844,472,721,485,166,608,405,164,641,617,
136,604,519,875,243,437,724,570,132,261,886,538,125,497,455,943,350,259,986,
720,891,974,172,776,049,507,729,923,533,390,472,487,300,462,117,088,971,038,
526,830,504,802,530,652,830,913,481,181,059,668,634,688,266,128,255,420,787,
637,305,963,601,508,128,990,916,131,151,173,587,651,359,558,009,402,616,615,
479,856,683,624,434,373,420,480,539,774,488,426,359,676,252,749,057,122,110,
047,860,530,921,177,274,658,197,552,253,402,030,687,650,717,017,939,496,980,
531,445,680,446,107,380,973,163,230,709,696,736,926,454,738,057,997,557,169,
707,224,368,605,179,090,526,421,014,076,662,715,024,198,149,615,775,861,222,
991,186,601,879,378,777,402,878,701,395,049,917,400,298,253,687,862,254,033,
145,599,308,617,825,433,684,050,945,707,984,340,610,869,753,774,071,900,001,
410,652,915,617,262,845,612,956,991,959,090,902,911,789,012,524,017,887,204,
160,201,182,027,154,420,569,636,793,735,525,850,579,168,563,598,059,387,747,
342,206,855,847,182,330,478,142,715,529,543,784,181,467,496,986,148,840,906,
701,501,332,889,527,342,881,312,413,821,350,147,900,042,698,060,883,940,625,
359,898,929,827,746,793,068,968,695,052,662,722,807,898,648,112,331,956,710,
151,340,019,552,964,438,187,470,461,913,053,629,654,876,661,051,954,808,015,
392,843,611,185,280,229,123,147,835,821,354,037,035,373,194,810,423,088,057,
864,753,357,878,311,751,793,981,514,382,111,464,335,241,369,006,268,418,738,
555,069,237,080,333,135,518,125,037,296,944,178,744,672,087,376,376,634,257,
589,756,914,235,366,945,768,528,033,788,644,172,323,669,168,206,851,693,996,
409,063,883,930,945,840,139,077,232,373,363,763,696,305,358,887,671,477,170,
274,121,499,733,282,217,572,529,693,292,974,735,985,234,856,316,808,331,337,
251,712,868,732,612,583,320,936,922,159,977,909,214,153,804,506,774,560,663,
301,582,078,444,120,204,596,919,737,813,162,388,625,401,983,546,155,316,379,
183,118,905,256,536,014,084,312,960,613,826,112,488,921,278,410,484,964,869,
681,068,105,875,883,781,414,006,688,977,786,101,684,012,609,760,183,087,730,
335,261,947,137,565,133,896,173,015,324,675,836,749,164,308,670,849,397,825,
415,474,709,607,006,220,940,549,619,219,858,316,864,617,223,124,064,689,700,
730,799,504,896,838,186,734,216,490,917,607,892,058,156,761,999,026,206,626,
583,975,919,833,779,478,900,149,926,044,879,966,111,966,330,470,355,256,491,
351,972,488,302,381,397,210,953,359,456,812,368,019,691,137,659,470,909,627,
611,236,625,811,693,972,283,978,510,379,027,718,555,646,228,983,786,717,949,
375,019,546,443,933,848,519,992,586,103,162,753,817,128,234,234,456,881,882,
520,015,040,753,010,034,116,438,417,107,566,941,771,572,041,417,498,776,413,
352,901,606,481,360,704,020,444,591,268,594,197,818,740,967,153,479,239,190,
518,726,078,939,277,794,118,600,467,531,581,585,135,397,459,435,120,851,129,
282,435,883,499,441,331,574,576,972,208,950,850,719,576,603,872,685,452,890,
959,446,703,379,544,092,965,649,655,170,351,384,779,847,568,177,269,549,332,
343,673,754,649,264,386,883,857,838,250,473,043,659,536,607,804,445,364,022,
387,359,647,838,144,053,399,527,465,585,312,487,695,683,499,325,633,172,473,
886,400,747,244,659,113,267,428,826,567,722,061,034,721,382,679,889,532,666,
678,469,859,087,425,729,967,164,995,772,544,306,784,099,779,605,982,040,179,
900,653,962,910,066,966,790,898,005,007,648,873,280,665,578,129,859,196,410,
798,376,989,587,399,099,416,083,600,682,882,014,201,261,527,107,054,852,194,
104,334,921,464,923,719,722,085,529,189,272,856,734,284,811,163,714,344,005,
337,495,268,535,482,745,572,557,411,103,114,088,503,308,164,228,546,945,011,
132,313,060,672,110,020,485,201,147,373,536,389,681,723,232,782,493,147,011,
042,795,062,644,629,131,038,073,782,863,054,102,690,898,128,337,916,891,208,
546,703,406,548,787,312,248,392,059,320,985,938,795,149,001,385,793,147,814,
261,125,530,617,232,018,543,264,771,359,184,637,412,353,206,492,600,308,441,
444,113,702,504,916,620,239,827,002,361,500,730,093,991,842,135,105,299,851,
925,686,032,760,210,967,761,882,336,792,011,833,384,036,112,519,594,706,775,
777,869,043,887,559,054,931,112,957,863,394,505,444,179,482,867,547,059,323,
128,272,893,213,209,315,034,771,147,129,436,804,506,197,532,157,317,391,918,
288,071,532,901,932,520,252,457,054,505,287,661,543,071,539,761,666,893,989,
206,713,464,176,760,134,165,766,518,037,714,946,758,695,371,087,051,237,317,
628,848,320,957,191,860,709,754,745,972,056,881,879,117,215,979,285,040,568,
315,674,046,678,386,561,010,176,415,148,690,871,423,559,332,682,039,870,911,
547,505,344,085,798,335,605,306,535,797,401,445,142,671,868,275,856,078,623,
573,598,770,365,748,107,944,162,172,274,754,532,533,295,267,043,276,295,204,
016,459,459,567,553,858,881,546,937,577,943,463,366,275,407,271,504,731,311,
643,028,495,388,981,830,830,007,586,832,414,069,945,629,545,811,874,932,901,
645,779,508,009,791,343,494,437,816,811,795,094,903,198,351,350,569,596,726,
309,509,354,411,568,407,976,220,291,929,912,080,902,258,253,866,089,779,628,
919,825,076,330,027,403,793,845,778,200,837,360,630,923,530,425,896,490,964,
794,247,998,575,387,708,514,608,787,123,260,947,989,434,645,960,801,579,947,
647,118,913,778,475,465,206,024,436,692,305,685,333,263,644,004,526,610,399,
912,904,190,573,183,214,625,912,832,961,338,557,190,234,811,642,714,448,142,
284,522,416,101,274,133,806,910,522,253,033,984,203,542,822,269,608,578,714,
530,714,479,498,772,522,471,790,799,148,050,487,589,707,355,486,091,265,158,
090,112,088,967,514,579,136,172,075,154,698,086,474,290,961,481,064,479,620,
580,071,674,344,178,157,911,537,693,145,142,087,070,657,966,414,533,227,759,
849,833,285,047,615,779,469,590,170,486,296,995,525,579,116,766,434,668,904,
225,092,523,568,217,386,135,249,366,497,818,320,053,758,392,391,035,812,042,
679,256,327,166,701,929,462,840,476,676,033,706,084,228,140,701,135,185,196,
275,005,794,269,276,538,337,417,934,077,459,613,797,307,450,266,927,921,977,
009,458,751,058,286,819,518,713,151,878,354,984,668,873,655,315,169,951,391,
868,866,180,018,480,054,425,006,889,146,502,844,766,636,220,497,714,784,010,
632,909,655,711,731,402,632,869,144,984,064,648,988,917,891,110,860,517,710,
767,107,684,034,796,427,539,919,330,601,298,727,961,468,741,536,047,053,738,
500,968,754,076,337,088,425,185,921,603,182,472,863,924,399,298,068,088,685,
674,966,366,756,296,652,164,346,245,828,076,871,205,362,268,289,919,979,954,
557,171,808,389,304,576,184,146,763,978,657,562,898,126,754,801,090,640,271,
073,114,199,349,189,371,394,557,575,512,866,753,904,383,466,204,730,840,695,
724,779,356,349,097,376,375,826,246,154,512,176,648,959,438,014,207,238,965,
748,905,157,020,967,870,009,868,567,065,075,034,309,387,281,183,234,889,467,
583,503,497,673,826,628,703,845,271,024,238,758,003,578,833,548,418,289,968,
678,136,996,351,613,485,114,965,568,839,589,819,362,690,020,849,904,009,941,
527,485,605,046,799,977,844,882,238,066,706,340,151,842,348,959,999,735,244,
053,899,520,264,201,370,971,662,709,327,306,152,711,202,790,429,647,298,495,
484,360,030,768,667,400,384,014,734,145,475,436,612,343,057,120,563,459,212,
930,335,460,960,649,786,829,710,000,003,931,622,883,216,472,717,872,953,621,
410,979,168,194,534,336,195,189,947,770,858,691,930,189,010,075,890,132,477,
545,038,127,014,556,157,335,232,092,085,561,908,333,053,701,928,497,491,334,
965,947,411,731,856,037,840,178,204,185,966,008,176,984,621,753,786,088,152,
849,755,821,839,023,217,334,514,226,779,449,423,879,529,844,371,798,928,812,
315,832,564,612,264,341,485,692,947,358,816,923,700,872,654,221,367,148,191,
890,950,408,634,108,489,140,902,743,580,403,854,094,920,498,403,566,589,687,
877,995,418,524,926,102,838,457,195,817,590,147,153,270,537,991,105,733,520,
961,498,179,415,609,426,154,680,313,841,237,255,157,068,016,456,320,356,306,
900,462,286,216,395,200,282,742,842,762,284,873,786,298,588,193,838,510,483,
286,029,465,290,708,045,159,336,359,579,685,354,575,893,964,612,231,488,539,
074,582,189,890,020,774,453,322,075,821,085,616,941,765,807,460,245,981,177,
671,995,426,283,482,269,137,600,522,495,150,313,140,757,744,996,073,347,579,
537,907,005,480,428,428,553,502,109,676,300,396,235,444,143,821,495,103,882,
895,781,448,919,178,327,848,222,439,614,980,542,459,571,894,323,108,792,756,
615,846,753,198,899,828,017,642,786,655,157,930,326,512,281,024,944,206,996,
694,592,375,635,458,684,283,626,806,482,425,949,582,215,936,055,762,797,604,
845,008,069,122,991,420,322,048,193,357,132,945,401,311,822,053,392,204,495,
390,031,938,863,678,021,680,102,335,732,426,966,956,534,927,177,040,174,508,
858,175,707,490,349,082,261,969,062,757,492,427,878,221,228,080,424,904,866,
615,769,993,134,050,676,351,547,129,220,561,128,089,294,426,025,856,950,263,
621,436,813,554,020,475,347,413,406,811,174,161,368,347,792,822,666,040,086,
384,543,018,846,146,658,625,865,791,613,123,432,248,116,027,506,013,811,396,
885,109,814,383,951,482,388,941,184,279,731,232,398,609,109,887,240,725,501,
117,602,117,697,494,564,640,850,690,507,229,125,672,132,074,613,433,701,101,
992,903,888,288,194,807,415,285,264,259,845,597,001,605,073,673,619,558,897,
834,071,421,487,392,435,823,301,208,218,512,891,334,862,726,647,486,316,686,
470,400,408,686,779,541,046,184,911,832,690,149,918,514,307,161,195,740,160,
321,391,988,427,438,263,181,819,352,003,777,166,913,744,733,708,067,870,794,
873,242,094,216,724,455,471,815,978,340,070,514,237,658,861,695,868,244,012,
117,954,350,099,227,627,018,664,445,090,260,404,944,778,647,389,586,082,169,
630,170,566,882,308,758,404,568,511,622,785,921,739,406,099,821,415,213,273,
979,993,561,300,042,380,395,824,366,075,951,411,847,043,601,447,935,273,050,
702,951,725,997,799,956,673,996,056,364,673,309,854,288,280,569,968,377,580,
429,093,774,808,716,399,599,595,955,830,518,102,601,216,019,804,027,788,918,
057,752,753,420,301,623,370,338,521,666,639,014,583,778,303,856,809,791,372,
726,452,418,701,301,311,018,425,595,546,173,982,529,361,032,174,089,377,968,
025,215,448,428,486,743,969,982,341,644,051,059,736,963,833,645,073,000,448,
834,044,227,796,272,961,358,540,638,509,135,911,700,133,768,580,464,037,519,
384,896,090,857,035,200,233,964,156,237,205,245,118,062,866,671,267,147,105,
273,063,408,840,065,587,180,396,481,292,222,219,773,453,561,952,220,383,144,
206,886,546,905,969,163,988,671,444,382,817,992,718,346,884,222,289,526,220,
751,344,174,384,796,522,379,377,636,731,518,913,993,906,602,754,103,494,781,
526,533,478,909,576,702,725,500,182,548,051,379,199,172,131,417,228,963,199,
784,225,590,968,574,913,663,923,616,399,528,393,316,209,709,750,847,378,947,
854,751,962,255,010,536,243,087,248,063,578,736,234,518,604,572,972,134,069,
958,392,161,867,756,143,350,901,217,409,579,815,612,192,183,092,722,912,155,
761,999,205,517,388,691,795,030,059,237,654,198,184,021,709,571,179,258,547,
860,352,912,092,424,344,788,770,995,470,990,533,470,816,249,138,080,328,112,
491,951,550,039,232,078,727,383,790,779,753,759,746,514,068,854,320,105,596,
325,160,261,505,150,250,085,490,032,808,671,152,353,215,248,814,908,820,563,
907,230,952,710,367,851,926,106,686,287,106,643,064,834,458,399,708,239,390,
911,084,071,670,380,441,488,931,434,967,422,780,227,828,210,449,546,249,395,
220,831,317,102,602,763,627,267,705,499,208,693,070,469,850,042,851,231,780,
655,369,425,391,368,489,416,604,992,262,530,293,092,844,326,504,689,365,966,
864,739,621,138,246,902,144,332,004,829,161,628,034,115,269,263,275,222,521,
052,840,898,560,508,377,328,608,112,231,592,564,591,089,119,188,067,409,922,
716,643,186,411,284,640,112,529,718,392,820,978,857,664,000,636,890,124,593,
515,792,967,242,554,173,402,858,122,503,194,186,742,703,342,590,245,558,176,
488,982,957,737,157,310,200,401,664,123,777,761,759,974,023,959,607,298,320,
710,207,374,233,475,006,615,110,885,401,232,843,493,094,602,397,659,250,071,
574,161,540,053,849,707,726,715,150,027,379,188,352,320,487,974,747,143,526,
790,530,158,702,250,075,859,474,027,328,147,177,747,298,106,304,867,971,951,
434,492,554,537,470,648,534,459,802,204,345,193,852,127,263,526,031,789,814,
056,609,577,421,584,920,719,563,189,883,210,890,585,408,335,000,077,940,811,
237,694,934,595,798,705,133,859,956,352,154,583,158,095,633,714,112,108,711,
050,485,540,589,780,043,506,358,816,829,400,083,590,038,287,828,582,144,490,
528,860,148,714,603,390,408,964,887,927,088,852,467,662,697,277,738,581,181,
359,476,980,832,633,282,949,176,384,351,227,036,486,426,086,877,640,542,261,
387,201,465,765,690,906,775,032,011,573,574,917,351,052,008,680,889,373,582,
406,716,485,746,310,790,114,834,909,575,700,092,627,872,805,879,353,045,896,
607,017,484,423,954,547,034,787,863,019,992,525,001,014,977,693,051,862,807,
478,169,977,948,703,641,075,395,502,093,779,742,658,585,261,929,100,107,378,
883,407,918,983,954,399,808,099,601,928,251,453,374,432,473,056,411,655,508,
867,499,885,802,528,184,479,453,941,006,884,275,089,312,304,277,756,831,532,
504,852,377,330,074,662,022,969,458,771,321,576,388,347,290,932,489,338,431,
956,528,212,423,562,613,165,916,197,812,433,251,565,082,701,738,884,039,322,
791,510,109,548,738,519,852,045,039,230,817,630,017,317,949,664,474,861,173,
249,666,697,206,200,065,484,326,450,114,083,760,467,476,756,218,354,944,268,
445,776,578,589,102,982,676,512,713,932,039,126,468,919,093,113,889,647,006,
919,479,510,762,790,611,610,525,041,844,979,242,202,691,490,607,734,373,453,
029,274,049,124,777,681,115,873,928,498,709,587,800,477,014,529,130,053,930,
030,761,412,058,694,914,350,575,025,112,331,473,079,187,026,138,173,556,603,
800,144,229,740,790,548,918,918,061,309,446,121,615,870,093,288,580,363,345,
464,091,209,051,677,110,604,718,672,618,323,403,692,373,660,028,734,689,056,
460,230,904,288,595,169,493,710,736,502,137,365,891,393,303,780,653,444,291,
238,910,165,740,795,087,651,663,421,202,129,478,947,095,211,209,539,067,434,
505,322,575,178,813,428,667,067,020,745,608,520,935,805,034,122,424,105,331,
172,080,215,112,254,899,584,696,112,920,978,985,521,592,861,209,417,314,404,
313,775,101,478,324,946,819,681,026,015,729,514,804,816,193,386,734,140,034,
196,545,379,505,993,601,860,436,975,108,872,321,795,984,455,743,931,704,509,
423,697,699,056,425,111,717,832,195,444,861,556,209,215,512,004,207,744,460,
487,108,965,179,900,315,688,976,250,684,100,283,465,125,611,798,503,687,838,
096,777,932,965,471,294,773,202,162,429,616,373,146,256,759,396,284,786,505,
641,450,554,514,594,677,239,848,640,796,667,802,838,680,322,164,323,429,565,
152,918,106,256,074,624,135,442,183,376,358,186,738,791,110,651,230,584,287,
371,138,335,698,789,613,029,785,822,931,425,639,421,831,111,818,904,258,867,
227,739,531,322,717,094,409,968,534,576,609,835,058,416,405,298,798,097,192,
287,647,354,505,752,539,887,140,705,420,927,112,089,982,591,077,908,961,197,
822,239,862,321,830,981,989,207,988,835,650,123,202,142,228,151,017,780,367,
173,637,159,068,143,950,841,150,035,546,785,873,752,993,508,311,057,297,853,
941,482,623,409,952,680,837,391,035,611,866,436,413,383,743,589,298,990,225,
907,774,556,146,505,211,098,523,926,149,940,138,907,844,460,763,286,919,437,
683,820,565,020,601,435,656,198,800,655,340,868,937,493,766,246,608,766,889,
821,671,252,644,017,620,972,290,353,099,133,101,595,124,638,236,492,014,918,
450,206,917,127,192,948,556,657,329,024,613,919,764,490,033,491,684,281,160,
485,615,208,475,471,739,076,996,352,046,295,069,329,533,804,310,849,494,715,
941,209,579,468,214,207,368,348,858,510,994,435,856,091,557,295,232,227,487,
803,674,397,380,356,293,086,841,855,790,291,143,854,605,438,990,105,229,628,
346,385,674,117,286,988,665,007,397,485,830,445,201,676,376,397,052,118,590,
545,013,609,073,545,837,131,566,647,631,102,678,058,506,965,121,915,349,287,
710,172,343,804,465,480,176,947,618,506,421,909,071,296,062,230,802,753,934,
702,454,920,203,001,758,127,758,672,190,466,659,196,171,353,125,758,032,748,
026,520,777,483,986,815,355,044,277,741,202,901,453,532,953,918,905,668,164,
684,248,379,735,640,627,086,802,292,917,767,758,593,073,585,276,425,024,535,
877,816,999,046,846,304,336,020,898,507,590,230,176,219,443,684,591,725,393,
189,705,870,758,071,961,829,029,386,161,631,107,776,900,963,259,692,566,530,
697,367,873,259,418,404,973,468,621,014,157,059,704,867,330,968,711,451,924,
268,352,891,939,812,495,636,147,675,450,081,078,805,296,874,416,786,125,882,
081,880,726,657,997,832,088,536,008,305,527,967,188,408,732,313,035,614,356,
305,582,639,941,368,504,604,244,429,597,828,906,930,131,809,039,801,727,877,
427,462,854,903,116,885,794,077,739,432,994,478,042,837,993,214,415,843,587,
780,158,516,232,353,200,868,053,736,763,119,529,846,868,992,607,974,275,114,
419,239,712,839,276,017,820,493,515,127,710,305,958,144,569,198,057,177,441,
413,806,030,265,370,907,197,939,765,098,869,745,354,962,669,301,555,011,263,
168,874,050,230,136,224,026,581,359,826,808,124,461,533,120,641,799,217,796,
492,523,226,080,089,064,519,532,492,933,328,507,644,951,044,794,756,825,890,
551,693,039,522,094,251,196,380,524,419,393,739,211,915,781,819,599,707,856,
921,585,678,951,365,832,949,191,933,427,754,365,139,440,615,681,329,606,224,
481,912,871,111,936,211,605,836,288,686,815,652,707,180,740,715,511,859,077,
379,005,873,827,854,488,830,731,662,621,553,241,643,008,282,917,413,789,552,
645,550,008,491,362,929,796,664,850,772,153,662,450,426,025,974,866,575,203,
504,729,283,264,775,395,596,562,330,943,371,269,230,494,464,107,573,575,476,
320,844,369,221,426,659,370,164,344,705,232,575,274,509,392,617,206,657,339,
735,882,855,534,494,827,385,983,647,388,625,079,997,659,975,409,935,574,046,
383,723,221,354,030,517,090,559,837,868,652,048,188,660,144,981,655,534,081,
064,243,506,383,766,373,206,107,739,453,812,064,721,994,539,341,943,645,020,
319,763,436,304,338,373,976,441,633,954,056,409,287,879,782,761,909,233,001,
301,309,435,681,419,244,987,734,344,022,144,164,264,872,798,419,159,113,495,
465,628,004,799,045,746,267,759,823,338,553,602,532,484,467,232,586,166,195,
132,503,403,265,244,709,991,697,315,019,877,221,238,869,531,780,325,046,827,
652,300,966,826,432,325,101,535,274,788,142,071,837,296,458,938,263,271,391,
581,079,751,071,105,556,457,474,629,229,128,255,657,836,890,265,530,666,304,
692,401,828,502,441,047,896,550,223,371,642,000,738,531,458,082,942,314,492,
032,827,975,291,418,658,341,957,167,347,426,281,701,621,876,247,454,225,965,
368,590,553,158,066,809,823,948,680,582,790,017,208,736,770,520,331,510,461,
476,634,719,804,291,309,362,510,750,604,694,261,776,508,913,067,637,781,794,
733,257,690,555,729,916,309,468,664,647,262,977,589,328,860,571,325,399,178,
124,419,082,855,641,115,104,299,506,031,193,692,959,070,418,576,266,710,412,
333,230,328,681,021,676,032,431,605,805,158,833,137,316,088,684,135,157,399,
258,086,640,374,357,841,036,943,820,920,880,802,679,651,623,798,913,798,142,
054,495,573,814,728,154,893,854,316,317,921,861,398,737,384,098,618,688,408,
523,588,330,435,113,089,112,796,528,541,683,805,753,599,181,225,267,454,499,
718,882,405,436,815,512,051,049,753,074,544,141,431,455,669,309,857,480,407,
993,087,967,484,917,510,231,741,649,998,391,861,170,537,477,839,834,524,135,
013,938,004,362,185,021,149,757,460,432,774,143,899,858,615,999,258,207,506,
117,371,202,622,897,988,065,409,609,020,443,964,364,284,060,767,293,428,220,
456,690,794,650,100,855,957,537,853,330,393,863,412,079,132,107,400,250,713,
251,958,589,196,444,654,498,903,069,281,763,083,601,213,138,687,042,936,658,
499,928,466,307,585,697,439,296,490,768,565,565,079,559,693,849,915,967,562,
823,716,275,207,258,341,202,396,882,844,218,443,803,610,672,460,601,953,393,
658,620,879,905,283,103,616,315,957,768,148,144,551,168,741,116,624,185,289,
099,180,308,082,337,411,542,115,875,438,262,903,553,123,590,190,357,064,642,
162,100,128,363,546,243,851,365,294,125,270,672,235,220,111,004,065,631,247,
621,034,701,739,360,692,941,567,703,354,039,105,525,119,655,662,231,113,665,
068,093,233,408,897,133,413,471,140,937,459,591,036,652,706,588,152,098,430,
540,630,245,235,160,879,022,243,402,729,272,900,362,008,959,093,217,276,291,
528,108,910,684,997,049,132,679,400,742,246,610,665,150,239,941,820,703,802,
061,902,850,377,783,433,206,454,744,856,498,054,025,819,734,689,499,128,164,
483,037,172,604,991,010,177,196,836,766,884,971,053,939,874,667,479,358,943,
077,092,338,215,356,087,709,746,602,713,037,127,493,572,110,912,771,863,767,
458,203,684,793,172,317,678,750,139,540,927,588,754,109,656,938,265,323,104,
955,009,869,120,133,344,364,149,280,528,149,275,447,165,916,869,286,667,443,
578,766,509,390,072,781,601,522,505,852,151,966,058,997,630,159,874,084,738,
588,613,138,996,568,677,190,801,180,745,887,309,010,724,678,182,878,369,155,
088,315,432,828,305,681,932,033,333,949,609,435,584,870,170,983,001,116,938,
224,975,153,210,300,582,506,695,750,960,822,833,566,136,684,437,512,774,048,
325,295,464,567,224,836,495,264,310,672,115,015,280,689,529,596,234,605,590,
520,019,878,445,488,452,172,686,697,288,805,286,253,376,404,150,118,524,574,
444,398,465,535,157,753,114,954,722,977,875,728,687,007,429,368,276,516,858,
153,259,528,647,602,199,528,350,651,802,798,877,305,486,860,547,868,041,531,
891,221,654,731,430,297,807,426,457,810,149,002,054,216,383,087,318,000,107,
473,119,587,410,096,260,023,308,559,091,263,225,561,765,852,643,329,006,463,
536,518,566,983,503,705,045,303,288,784,390,513,721,034,183,886,286,937,179,
221,579,319,545,201,378,484,614,889,388,071,250,156,420,383,659,310,835,625,
515,395,266,649,292,231,043,938,321,307,841,506,007,973,721,667,557,503,863,
085,000,893,946,345,871,799,517,423,592,231,662,789,125,829,122,828,172,721,
399,078,446,377,738,057,492,752,557,683,960,093,538,833,393,997,796,313,978,
118,470,247,358,736,211,880,696,979,543,654,968,456,050,601,606,907,313,568,
808,696,191,147,594,396,931,371,211,864,625,242,813,688,326,451,868,165,016,
264,552,602,149,001,951,137,637,220,436,653,942,177,373,077,278,823,156,002,
624,050,103,225,407,056,686,740,272,757,510,740,589,664,886,671,128,131,159,
135,751,740,342,936,884,486,517,868,470,083,794,054,161,862,964,111,379,362,
905,736,525,564,747,860,999,251,129,450,987,105,765,214,754,879,306,626,724,
018,669,603,031,405,719,163,838,855,506,709,479,156,369,211,710,294,732,335,
652,628,093,052,187,334,103,747,938,675,596,760,432,940,663,228,892,250,249,
033,689,276,881,306,938,614,636,001,518,302,185,067,366,728,586,772,371,641,
275,807,957,018,598,934,206,364,457,176,380,406,006,430,868,805,135,975,181,
526,468,903,086,428,588,895,001,454,968,950,612,940,198,560,961,817,251,456,
382,127,776,286,469,741,521,077,726,841,681,623,060,394,450,084,952,034,441,
930,681,607,364,812,900,404,757,451,236,714,840,495,002,614,767,112,810,665,
412,059,715,364,394,845,058,359,004,925,918,850,385,576,282,445,197,628,513,
046,402,410,464,543,318,332,571,803,763,451,725,627,122,266,391,450,979,837,
564,118,573,559,976,417,368,365,282,682,091,219,328,917,493,723,888,446,630,
064,737,636,431,193,831,327,477,899,926,876,036,935,569,487,762,439,499,934,
519,356,145,482,443,450,419,057,060,661,811,730,701,611,897,309,153,406,069,
289,428,245,766,763,575,603,712,067,461,702,971,286,213,484,773,732,785,219,
161,742,656,512,100,993,595,625,910,450,540,418,064,699,238,044,444,486,240,
535,047,645,594,998,762,064,363,449,736,289,184,189,892,708,158,316,366,045,
393,256,095,497,639,247,364,942,516,690,168,757,172,188,500,153,172,246,895,
743,590,321,027,836,588,408,343,155,559,747,631,937,015,097,071,614,259,837,
018,818,323,576,894,888,612,912,955,147,080,650,345,340,422,199,842,423,681,
683,721,000,732,205,695,258,816,023,433,943,799,417,320,451,851,161,704,168,
220,535,177,388,152,090,714,813,231,097,004,018,261,569,718,349,860,264,728,
374,093,772,063,058,799,680,316,088,859,382,731,408,926,085,884,636,726,019,
637,875,800,166,451,234,395,990,800,529,341,598,176,869,096,776,163,455,787,
191,797,836,093,236,697,404,959,063,694,602,313,363,272,068,226,410,369,498,
438,784,001,431,410,657,453,636,965,718,425,125,939,456,275,860,141,323,082,
610,528,598,146,318,045,996,816,206,907,416,297,796,749,778,942,585,934,915,
950,767,641,882,671,698,961,974,840,182,138,086,633,214,947,397,061,391,036,
693,478,244,155,782,810,542,768,929,276,993,086,086,450,313,798,470,970,603,
209,031,131,252,414,935,325,872,134,439,972,316,367,615,009,091,293,313,608,
415,767,398,647,570,369,156,829,284,603,816,938,028,832,261,622,410,557,077,
572,485,345,518,444,854,352,696,525,682,124,771,268,341,439,343,488,498,520,
501,234,404,453,501,463,002,894,849,980,402,385,065,311,470,343,979,380,645,
655,007,466,062,758,570,774,440,458,720,913,165,633,224,218,076,159,810,556,
446,814,648,232,226,307,264,944,259,993,238,839,471,343,351,161,785,192,787,
609,023,057,284,941,524,723,955,642,108,547,991,417,327,169,233,462,145,099,
727,928,383,691,877,385,296,010,000,923,455,675,340,130,434,393,639,315,030,
721,309,969,243,728,103,598,045,126,700,641,086,912,117,087,737,689,273,490,
539,259,333,855,655,965,078,178,670,147,439,961,978,115,975,256,437,696,297,
179,271,063,589,487,852,420,216,729,291,160,785,787,969,498,408,852,670,045,
428,022,505,447,970,540,911,184,185,596,945,626,902,586,969,153,957,387,648,
352,733,188,973,115,158,460,710,206,150,315,244,922,975,286,428,605,289,124,
502,692,072,660,044,313,176,848,829,095,366,460,326,149,188,928,931,828,289,
930,751,772,441,027,059,573,983,831,101,993,615,094,654,486,622,320,871,632,
409,492,068,412,610,568,041,432,672,014,546,243,957,898,729,580,478,444,687,
074,482,805,641,169,146,231,771,001,730,844,969,626,722,854,945,546,272,253,
206,158,157,940,744,874,885,419,772,132,271,918,732,328,921,992,043,508,507,
908,817,155,321,797,106,206,452,263,380,506,154,765,251,110,997,154,665,559,
068,144,711,709,473,900,042,977,505,869,949,087,976,918,528,090,401,442,085,
666,485,924,028,278,184,036,984,579,213,210,102,096,462,909,223,643,310,926,
224,752,740,852,412,078,172,026,237,783,148,321,098,817,282,806,295,725,547,
295,068,214,781,222,059,102,863,317,867,975,028,100,755,512,314,997,892,403,
486,664,704,612,290,297,235,216,891,223,301,085,393,295,506,901,552,795,590,
214,311,295,934,242,129,134,124,880,975,156,285,593,099,214,481,220,920,618,
285,088,044,674,357,752,228,940,205,136,183,451,985,953,556,483,802,651,873,
025,668,869,634,260,323,243,563,758,955,398,861,197,942,802,259,297,324,222,
995,917,369,850,323,432,071,998,972,445,747,865,460,652,520,221,002,890,401,
735,938,032,343,551,585,085,960,259,419,022,855,410,755,121,916,939,110,918,
686,716,888,350,409,923,590,382,495,685,830,791,944,225,873,982,928,887,811,
033,299,291,623,490,841,454,301,329,462,085,143,124,462,105,868,472,206,431,
122,110,337,980,387,782,558,985,070,059,393,486,301,252,305,684,252,984,667,
884,296,353,795,102,190,953,013,234,655,094,391,001,027,026,122,727,445,283,
193,526,324,721,748,674,593,332,942,932,204,756,885,729,378,039,871,987,090,
350,747,072,926,426,813,791,182,089,784,972,262,282,096,922,259,517,204,893,
150,613,904,910,546,096,795,205,538,845,655,027,055,383,870,689,636,286,466,
255,551,182,025,843,241,177,540,033,614,203,654,268,414,159,121,765,171,062,
993,968,162,954,021,580,961,531,526,007,369,069,085,344,314,730,638,299,984,
383,636,035,345,530,743,867,501,268,947,565,513,886,071,429,087,185,356,065,
091,988,376,956,120,529,421,898,984,736,120,721,357,586,261,225,468,378,338,
831,194,183,650,167,593,683,973,132,062,678,224,191,455,197,612,845,130,452,
649,289,861,365,577,455,143,146,188,150,680,069,199,823,690,139,816,927,988,
735,869,967,968,352,549,316,436,561,560,128,744,172,352,966,009,269,242,347,
721,131,902,202,445,384,344,315,397,530,237,914,566,545,592,097,329,065,378,
081,609,370,841,859,338,652,825,982,817,992,957,777,636,143,510,980,707,547,
015,930,137,870,281,953,021,418,659,354,438,424,343,682,716,168,754,657,066,
033,536,851,851,566,286,516,111,954,411,972,203,568,587,313,800,417,649,524,
937,395,505,909,921,328,991,504,864,989,222,463,898,793,019,958,498,380,348,
576,591,934,845,055,291,795,396,677,130,733,132,053,584,939,240,394,414,481,
185,038,206,084,419,827,021,440,651,895,158,712,249,976,635,799,144,211,966,
807,759,888,654,454,372,741,337,832,143,551,846,913,666,838,738,119,453,095,
251,246,864,855,661,435,528,456,024,140,761,638,702,232,005,923,182,047,031,
974,530,316,470,722,809,079,344,159,774,356,064,592,645,033,643,613,732,479,
763,488,802,799,274,283,040,402,788,935,232,382,945,806,120,817,986,137,299,
667,489,017,360,317,291,428,062,580,345,228,952,873,666,964,636,814,915,374,
850,436,345,931,757,921,067,174,136,341,600,982,362,057,059,858,778,226,417,
305,014,220,295,254,401,397,311,512,658,369,673,206,225,531,709,138,766,640,
279,358,591,268,244,875,083,585,404,025,049,554,833,731,498,442,502,972,383,
212,370,556,073,137,216,235,309,834,553,917,238,114,033,384,595,413,250,268,
739,095,863,555,230,325,226,499,975,995,423,403,427,070,977,717,329,006,075,
838,095,413,898,895,644,556,534,359,260,181,573,013,404,399,733,140,899,970,
706,594,752,867,743,061,060,307,893,541,325,849,792,064,675,062,451,209,950,
470,653,860,229,713,644,128,042,624,721,364,129,346,297,710,562,659,837,764,
604,753,321,847,718,244,787,631,751,432,207,915,614,137,037,951,205,994,037,
035,413,706,297,060,673,427,304,387,941,026,361,213,026,864,702,159,726,653,
258,850,405,286,408,091,378,167,614,094,834,752,655,851,941,102,330,599,453,
248,929,360,637,850,308,589,612,576,323,541,928,327,427,062,520,978,221,920,
924,366,784,012,786,596,235,934,013,295,763,268,456,916,469,711,188,446,062,
523,906,705,000,151,677,783,121,162,687,525,857,678,224,433,675,876,798,443,
489,974,729,257,703,640,155,255,336,919,501,232,024,470,300,944,290,375,664,
028,137,244,998,926,760,235,844,710,470,754,813,633,208,855,458,970,988,612,
884,301,027,548,763,690,873,652,582,461,988,379,809,334,735,933,288,591,751,
979,918,489,665,710,300,324,344,672,424,276,195,021,653,927,317,986,758,169,
333,074,463,873,099,804,304,536,636,000,384,735,685,138,524,411,034,744,103,
270,036,888,302,099,317,304,087,321,281,836,486,389,320,963,783,879,880,104,
712,160,923,599,327,766,129,531,432,133,398,834,506,135,356,107,265,863,614,
760,805,830,092,542,474,868,252,308,147,169,566,348,357,870,913,217,170,163,
650,520,003,770,311,738,322,863,006,517,356,233,034,416,391,706,341,321,954,
627,331,371,929,868,844,204,057,675,583,594,421,773,550,773,155,054,588,314,
340,013,358,768,168,568,880,082,219,179,856,834,419,386,736,929,604,511,369,
901,932,334,046,766,832,616,472,787,398,246,627,584,669,354,965,840,774,957,
753,185,091,417,887,746,503,688,554,266,926,910,943,357,454,957,393,843,029,
162,316,916,968,487,123,964,601,895,730,145,293,803,951,232,720,448,416,757,
123,546,901,258,101,418,591,532,353,166,508,032,060,190,260,589,451,894,908,
816,541,943,507,719,574,887,801,286,247,559,582,007,502,426,646,970,210,787,
603,633,099,024,113,969,241,981,389,729,637,089,086,595,908,090,882,518,256,
694,959,448,369,947,764,009,858,638,827,676,377,848,085,886,936,018,813,389,
026,048,003,301,095,734,060,651,873,753,036,700,831,085,222,994,466,254,412,
266,752,797,834,617,610,153,578,279,703,876,591,600,854,488,564,050,379,492,
669,738,118,367,226,866,001,355,159,419,652,312,702,281,536,730,709,057,731,
500,454,117,858,663,492,011,274,827,734,772,597,829,793,347,823,571,776,030,
409,832,440,496,584,437,553,078,191,998,574,370,367,077,292,445,853,415,288,
398,836,656,559,493,844,520,149,620,611,433,889,170,236,816,230,887,434,259,
634,657,939,374,159,187,186,714,357,475,368,686,699,120,426,327,902,815,670,
179,046,640,111,748,102,923,739,990,991,448,011,822,939,510,072,038,218,343,
768,437,586,570,129,846,744,243,885,363,609,815,117,548,707,064,268,237,480,
253,947,308,649,980,120,636,789,854,603,497,152,311,249,922,488,018,823,503,
736,111,703,535,351,523,916,548,277,773,377,405,507,535,141,554,833,341,433,
484,843,084,615,381,759,404,199,082,556,362,430,308,757,918,062,422,114,707,
707,197,366,217,022,347,760,803,531,218,291,122,172,002,890,722,350,830,936,
897,129,015,410,493,732,558,549,847,407,566,492,441,444,524,941,117,796,666,
271,445,224,728,010,604,863,779,089,884,719,171,781,641,676,742,509,500,137,
521,527,276,669,720,461,062,919,155,900,806,059,271,004,414,915,379,205,702,
905,107,489,537,461,624,238,328,713,860,512,045,057,439,494,026,715,288,824,
787,596,912,061,355,055,493,585,991,364,181,952,386,413,155,429,101,901,195,
472,117,485,614,603,565,574,298,966,249,070,253,388,855,182,943,286,019,161,
242,488,349,507,136,296,778,959,031,022,754,696,877,727,655,616,230,728,963,
783,255,777,992,471,844,353,631,259,736,649,638,040,718,298,027,496,341,645,
981,183,587,099,614,853,439,457,332,255,080,023,899,940,644,883,828,170,802,
130,552,147,085,055,421,026,843,310,129,017,688,884,204,794,809,202,029,941,
488,829,695,651,958,391,185,385,007,288,529,438,835,297,549,123,448,758,535,
690,896,201,013,764,180,062,008,681,885,196,939,878,805,483,913,096,701,351,
280,287,916,256,335,085,693,795,788,717,726,831,983,179,513,464,709,762,837,
669,344,298,422,734,526,194,498,896,953,381,068,457,973,191,986,913,314,022,
085,232,897,751,475,240,790,692,109,464,628,487,087,275,536,203,099,168,083,
478,642,673,830,518,148,442,578,691,683,792,282,758,123,001,829,731,910,828,
228,866,428,185,604,904,924,161,031,461,835,866,231,952,635,908,498,563,205,
912,808,193,728,772,948,456,079,370,184,285,028,286,016,087,975,180,365,144,
343,920,494,148,482,550,713,614,785,458,620,592,507,402,612,139,933,807,885,
833,034,637,042,061,707,361,119,242,729,911,404,143,850,359,306,853,527,769,
099,734,743,519,591,218,760,540,253,198,218,516,706,639,851,622,614,691,639,
037,810,751,428,691,906,263,116,058,350,014,762,453,477,689,408,047,731,702,
997,604,959,297,223,771,559,440,575,212,812,461,405,434,826,123,294,794,876,
546,760,556,465,662,637,690,037,929,833,050,993,176,013,995,888,608,931,101,
347,485,659,359,955,406,013,395,306,768,289,970,101,732,714,460,405,586,700,
492,413,747,817,891,787,162,215,659,754,019,904,325,478,444,201,887,173,753,
036,136,770,389,073,435,664,685,070,896,205,447,794,764,670,560,002,720,619,
540,626,942,759,432,651,434,182,636,012,805,435,612,856,124,699,935,671,439,
324,242,699,254,773,068,714,010,403,977,809,823,349,821,956,369,117,577,284,
443,580,097,642,568,812,137,331,590,528,966,254,901,198,440,742,224,409,690,
665,420,350,738,142,765,763,429,988,924,076,591,728,313,904,554,694,475,343,
613,984,075,847,342,561,183,261,229,845,381,620,697,737,842,048,583,052,872,
535,852,045,130,546,443,868,750,496,368,176,703,484,406,339,465,510,591,062,
170,486,101,826,089,920,191,867,989,866,832,288,374,127,517,070,044,624,721,
432,740,727,844,066,867,023,590,694,357,495,687,948,799,318,231,391,148,764,
382,383,995,264,179,491,975,964,204,946,585,827,600,928,836,648,829,727,773,
583,277,386,275,052,676,361,572,874,907,040,460,299,284,648,997,073,665,672,
009,292,787,624,130,528,333,424,016,777,126,743,577,754,489,937,510,478,984,
025,643,007,715,725,013,341,096,196,324,397,831,127,472,680,618,266,956,228,
236,575,083,451,957,419,575,325,677,011,395,907,307,291,435,035,861,991,634,
521,933,006,842,331,005,509,975,598,349,083,376,645,160,832,422,433,208,634,
567,677,646,690,033,628,878,811,922,186,352,733,162,670,587,678,518,771,711,
970,931,676,714,863,164,718,500,719,707,588,055,088,102,853,479,955,758,986,
294,758,488,471,791,150,367,609,305,397,276,018,128,213,518,262,876,562,803,
751,094,842,788,481,682,270,430,428,512,918,720,541,854,578,357,815,826,313,
649,200,379,605,132,446,638,712,194,505,668,135,366,376,067,547,704,712,857,
796,437,031,370,730,936,380,165,603,696,452,232,641,897,209,132,693,472,937,
912,589,442,329,577,035,471,018,626,075,486,526,355,682,248,314,123,042,676,
556,706,213,783,932,372,504,009,166,302,380,806,926,725,855,212,592,113,145,
156,939,165,812,759,164,727,815,310,634,015,773,629,463,072,542,054,621,578,
666,488,268,715,372,662,015,295,906,705,878,657,676,144,025,471,071,150,358,
244,423,795,949,093,784,983,115,842,435,093,547,538,221,295,407,558,609,324,
708,160,138,360,753,602,283,848,181,007,150,936,676,213,554,904,246,999,084,
895,153,915,943,257,752,395,574,668,024,873,002,665,574,774,894,036,367,923,
693,989,701,955,996,347,684,962,923,508,925,424,902,085,466,291,853,460,641,
143,197,833,001,399,666,986,604,532,593,469,728,301,458,952,169,751,292,008,
111,139,979,251,532,081,131,727,166,839,074,960,093,951,002,387,595,218,023,
470,662,349,520,997,897,413,898,888,103,190,118,304,526,090,195,364,234,946,
916,651,173,854,387,139,542,371,386,281,425,020,321,957,204,266,509,644,285,
734,419,778,636,058,561,106,344,302,855,176,066,756,143,829,886,717,182,847,
396,729,620,145,773,473,741,340,231,774,340,318,711,013,808,475,917,327,590,
924,540,064,355,259,274,192,828,523,264,466,555,624,032,406,189,452,160,303,
460,880,797,053,107,996,385,773,443,045,719,857,855,090,674,194,894,089,822,
375,378,836,523,685,267,556,773,999,817,510,358,536,536,105,457,134,724,239,
230,750,930,741,629,271,418,178,835,692,111,940,319,022,481,512,181,308,090,
296,470,982,034,593,386,797,521,157,332,707,764,839,397,417,396,950,980,230,
475,711,160,881,191,785,446,058,184,657,591,272,086,253,635,765,732,890,162,
377,985,480,251,808,847,217,847,296,104,823,864,149,942,514,484,897,314,257,
055,672,534,693,955,410,662,324,428,437,694,308,587,656,073,152,281,578,343,
031,105,375,422,637,147,711,431,336,608,660,342,833,466,113,286,232,440,124,
451,097,842,486,328,688,872,064,099,142,873,249,004,226,527,786,965,774,435,
893,130,073,614,644,460,803,010,891,538,437,387,053,533,532,621,137,170,653,
985,405,525,863,905,141,540,429,083,517,876,764,270,386,563,367,778,274,090,
004,088,971,237,143,169,854,430,723,004,142,838,978,351,755,248,832,059,270,
782,852,708,802,891,946,473,356,236,108,853,435,030,642,795,608,623,862,693,
071,497,126,215,896,815,615,969,214,989,879,707,037,199,408,714,377,933,656,
246,443,853,565,980,135,828,562,191,204,280,131,332,299,775,389,570,396,834,
182,272,713,862,458,220,180,382,030,252,021,609,308,190,214,663,709,398,810,
526,392,940,376,200,581,073,785,328,376,329,866,203,827,387,810,933,294,595,
967,271,469,247,752,054,288,969,269,126,408,601,744,881,427,679,076,661,746,
225,886,958,462,957,604,526,387,874,814,229,350,392,403,748,281,228,794,209,
381,725,361,202,052,554,683,373,220,641,943,430,690,527,090,550,913,920,888,
019,239,193,688,776,169,404,556,128,024,956,645,372,282,677,506,216,038,604,
439,924,496,738,555,843,517,448,225,872,276,470,214,182,426,951,535,844,506,
286,905,839,538,760,476,836,082,925,975,318,754,852,098,265,419,020,449,627,
522,243,366,153,843,555,641,513,225,389,084,804,491,843,285,829,935,425,630,
285,911,327,233,150,396,235,265,884,629,367,945,854,235,051,808,696,580,134,
582,313,999,626,219,308,300,680,149,493,770,440,321,339,007,258,033,500,793,
058,101,969,575,570,626,872,522,841,679,703,659,929,317,602,668,215,621,035,
624,309,566,279,630,653,115,057,589,988,851,023,623,340,227,508,324,068,618,
033,550,688,850,470,558,835,433,776,429,750,137,710,864,869,000,055,615,225,
796,819,213,658,043,758,006,845,349,707,871,412,118,309,818,520,016,659,353,
192,285,921,724,464,820,933,981,297,361,860,304,338,470,236,574,429,555,129,
298,218,449,426,734,575,954,988,713,682,517,688,114,111,479,473,773,229,248,
128,642,971,741,567,979,110,627,408,678,560,191,143,597,931,563,115,212,650,
115,101,756,865,135,527,313,507,370,767,244,510,821,971,686,493,431,439,563,
483,798,451,874,763,431,704,165,606,706,743,306,749,911,231,835,572,195,284,
055,643,856,700,310,461,307,378,574,925,706,168,904,165,937,335,952,266,534,
027,271,744,463,251,759,475,467,772,727,441,403,248,856,726,419,744,785,486,
410,920,061,266,194,626,174,187,271,367,245,730,537,681,892,786,907,416,835,
026,885,767,573,855,456,580,248,815,882,584,125,011,269,692,169,958,039,020,
636,423,668,250,727,285,472,044,553,461,813,727,842,353,766,057,719,964,784,
324,161,029,620,285,810,926,120,356,091,097,099,625,540,910,178,134,502,658,
946,669,194,125,640,887,833,852,579,180,667,528,721,561,912,859,906,740,747,
412,444,493,964,739,214,658,656,819,909,166,525,639,211,469,875,873,257,149,
370,381,402,628,321,018,763,314,480,898,652,980,214,297,782,951,617,197,709,
211,966,101,423,521,855,293,083,140,431,316,666,252,388,289,120,485,438,938,
294,206,046,067,744,580,564,220,285,853,561,212,463,948,659,352,512,193,259,
203,512,138,912,122,970,191,411,094,033,912,138,083,701,849,506,329,851,929,
288,974,586,975,756,568,459,515,753,836,441,555,293,592,221,576,683,661,572,
566,073,307,935,674,158,762,744,327,651,509,021,680,291,335,894,137,496,799,
992,196,361,950,844,071,689,206,791,105,597,137,730,493,294,771,409,358,184,
536,957,143,501,327,000,444,076,495,456,715,139,289,759,328,011,244,928,759,
024,796,279,352,567,976,071,969,065,236,801,996,791,489,703,870,277,446,745,
251,892,669,833,027,144,869,630,214,906,067,696,071,484,026,899,401,151,295,
724,693,868,335,261,384,010,159,093,916,102,489,172,302,055,807,428,140,453,
052,726,173,993,684,304,849,944,303,738,791,123,534,865,879,693,970,261,088,
876,370,584,230,748,533,046,998,805,172,237,086,195,136,098,162,879,929,543,
288,816,367,548,761,657,016,702,720,369,291,634,122,647,648,561,510,162,543,
503,821,549,225,062,165,070,321,051,567,575,074,174,885,579,783,741,462,361,
964,475,370,847,093,458,659,510,937,021,890,903,668,912,035,685,169,016,699,
030,596,118,410,140,456,098,916,386,714,119,708,813,309,721,032,751,180,695,
018,741,998,042,654,291,949,689,767,212,601,365,563,008,696,049,382,809,864,
151,105,038,401,728,547,746,445,735,426,631,387,467,338,103,526,453,069,513,
040,456,469,138,633,349,774,552,744,806,104,265,244,929,627,756,310,045,117,
444,392,976,408,235,437,508,132,319,320,462,976,890,744,674,489,018,891,301,
421,476,143,775,739,259,149,474,946,653,908,335,918,309,758,562,337,487,699,
947,175,407,097,728,388,474,844,346,748,919,598,026,140,432,966,928,649,138,
825,125,129,667,193,961,665,145,014,959,122,077,795,226,901,517,356,023,059,
623,564,321,106,097,021,883,087,223,813,615,374,949,265,123,532,397,188,265,
335,397,221,923,125,740,057,811,647,646,547,030,791,031,705,298,580,140,909,
483,056,055,586,530,678,585,750,440,027,207,255,459,175,435,411,552,045,242,
748,748,110,081,865,096,824,812,990,233,116,745,872,345,253,406,632,667,016,
637,422,223,773,772,651,957,215,403,436,246,537,408,869,443,085,964,543,977,
077,049,535,219,260,459,523,880,331,721,418,659,322,548,996,836,314,626,746,
067,341,424,612,535,150,213,669,633,000,946,429,483,744,191,029,587,395,158,
230,292,778,480,615,149,168,340,055,536,093,811,295,124,766,195,038,592,375,
800,881,449,021,647,488,750,822,311,892,803,786,879,365,184,665,013,830,221,
214,790,111,589,129,685,707,114,041,456,299,253,873,939,131,855,798,944,126,
422,579,483,093,393,073,419,732,672,364,087,867,263,572,779,854,671,910,724,
872,115,022,539,899,973,083,743,745,529,446,714,392,086,818,541,426,709,143,
710,561,185,799,126,278,933,636,493,895,821,042,670,982,877,032,149,247,962,
739,258,803,598,313,912,647,723,475,193,860,716,993,247,212,238,327,050,523,
023,628,832,057,536,592,254,681,033,550,870,067,419,217,237,452,646,854,141,
907,426,232,777,273,862,526,983,294,640,139,095,489,413,457,911,138,257,087,
759,182,624,740,107,748,424,370,923,804,267,264,815,470,805,546,021,162,344,
343,232,486,217,257,881,936,671,950,541,492,254,730,753,419,120,870,499,790,
203,907,157,663,331,959,785,813,227,979,123,948,467,331,608,713,762,872,065,
468,085,593,932,706,926,363,008,107,065,744,687,957,161,697,060,550,498,617,
369,382,305,904,531,367,959,639,919,641,256,672,224,423,892,362,388,683,875,
168,767,906,380,910,683,640,761,684,092,490,016,474,085,914,408,447,964,957,
106,343,635,548,166,903,387,600,963,570,595,987,432,932,906,361,928,506,133,
228,664,055,570,780,118,923,671,414,369,564,974,580,036,978,812,605,960,196,
554,200,651,695,838,711,157,931,798,888,628,521,849,946,294,506,205,256,112,
554,416,877,098,622,105,854,673,495,699,415,478,769,571,464,634,534,524,989,
710,032,004,512,629,318,908,093,052,925,306,353,159,960,451,206,853,517,234,
854,777,015,878,353,155,155,092,792,399,507,965,966,132,517,768,065,503,670,
893,343,266,514,154,337,375,159,729,693,658,778,224,771,830,765,487,714,202,
997,186,127,544,188,369,327,029,438,902,392,899,338,150,566,016,476,947,168,
350,732,738,089,609,128,127,701,981,591,517,376,166,796,681,951,773,939,261,
480,544,894,762,604,125,351,068,433,162,419,277,835,314,770,282,619,287,335,
757,428,397,972,113,196,951,904,712,387,707,802,891,041,386,847,308,560,805,
293,844,619,330,595,867,628,454,006,865,589,477,530,156,158,244,172,320,873,
098,086,928,845,620,704,095,746,190,227,717,487,561,229,246,540,045,810,311,
670,886,357,741,549,792,259,283,307,449,284,773,196,250,750,660,952,739,837,
152,359,052,220,656,088,763,222,103,107,542,434,299,736,664,240,160,049,723,
792,614,363,961,118,235,860,050,597,026,560,457,051,582,820,828,525,009,645,
541,806,547,332,764,415,098,738,737,175,875,489,260,179,969,185,755,785,177,
375,198,624,409,278,750,298,385,531,021,924,253,426,238,244,839,816,537,609,
145,995,152,433,303,096,817,052,476,081,105,139,060,270,315,915,974,152,038,
962,267,761,661,473,075,008,890,103,605,902,393,999,769,508,707,265,839,050,
034,026,995,963,981,675,900,876,517,019,048,715,543,813,427,550,939,094,188,
997,199,535,573,289,206,899,917,084,426,459,679,286,982,804,790,081,459,616,
442,348,073,713,091,913,865,102,922,155,155,869,396,544,268,275,430,997,770,
701,848,427,941,839,855,118,020,608,764,443,935,964,109,747,648,401,502,525,
748,735,672,494,989,904,263,002,029,203,289,154,475,661,457,163,757,484,638,
673,288,750,278,311,527,944,193,321,602,869,554,533,298,400,085,773,290,831,
483,836,764,448,608,588,729,574,873,415,811,754,653,882,571,443,799,132,713,
500,367,796,251,904,210,106,882,331,125,473,373,375,467,787,887,707,912,241,
648,350,959,044,426,857,153,268,254,225,217,201,347,903,715,529,971,200,979,
931,572,147,979,258,508,335,112,143,955,050,551,740,862,130,500,534,799,308,
839,319,063,046,931,659,227,041,708,793,060,185,200,256,522,672,857,785,584,
660,482,733,545,598,191,825,818,293,422,188,954,605,222,746,894,306,036,787,
804,740,985,709,379,777,774,790,819,306,109,152,861,662,913,665,752,680,497,
408,990,314,557,019,036,407,546,801,103,483,104,818,702,100,535,393,843,078,
347,769,716,848,644,387,744,748,186,920,630,672,210,869,400,424,726,098,073,
179,223,691,038,232,186,368,593,828,346,997,751,190,627,729,148,978,314,865,
542,703,282,179,896,471,265,399,951,123,483,497,424,079,678,754,826,937,152,
723,686,264,669,569,352,339,320,704,947,139,978,360,963,512,022,657,112,761,
117,526,434,167,068,880,659,473,125,672,588,748,218,078,928,011,228,665,042,
230,861,350,544,569,425,284,447,253,380,817,582,356,673,056,343,082,744,795,
308,038,076,742,973,255,529,761,265,779,323,414,254,502,995,703,388,272,640,
369,859,758,408,424,807,110,542,900,027,931,806,980,496,957,002,516,755,986,
470,714,707,499,732,379,301,517,360,795,045,505,863,965,672,604,069,301,354,
092,416,723,464,097,377,641,103,125,820,506,187,564,223,611,193,285,782,146,
771,443,927,753,742,954,644,777,246,564,367,059,328,627,391,767,935,419,876,
572,788,995,207,597,531,745,177,205,208,055,304,258,875,439,559,266,905,971,
657,125,780,544,510,394,712,966,956,834,310,913,672,407,106,012,094,447,430,
139,705,245,723,866,375,731,814,102,836,324,528,107,757,644,499,679,363,572,
810,680,299,182,547,157,957,471,106,469,569,284,670,627,834,143,066,492,979,
755,052,920,758,751,346,060,040,823,694,925,606,210,657,856,064,867,234,944,
089,019,384,458,445,724,831,826,668,077,915,674,652,370,537,246,438,146,558,
148,181,929,684,999,383,390,483,678,441,632,903,955,144,520,458,120,235,748,
704,894,053,545,231,979,992,021,738,335,295,390,205,575,839,127,304,374,985,
011,946,096,819,576,409,462,668,722,222,523,147,103,530,644,401,873,488,793,
173,799,676,531,334,782,498,916,440,791,821,783,257,880,229,432,254,930,653,
796,461,851,291,353,911,922,034,100,430,325,753,545,760,652,010,337,065,394,
143,955,931,379,945,665,592,809,125,483,377,695,162,164,200,654,084,303,742,
095,565,814,452,386,701,832,011,848,788,178,848,603,623,368,591,407,624,834,
452,995,435,984,130,490,466,320,077,861,712,391,418,722,340,221,858,898,948,
679,965,467,694,212,041,569,542,321,602,483,698,228,610,320,582,790,074,414,
026,689,310,911,230,694,686,335,984,777,994,791,084,013,138,826,573,797,135,
557,217,512,539,511,515,309,830,054,561,162,105,524,554,302,602,545,036,088,
459,519,725,658,625,728,359,228,220,095,947,400,010,747,768,599,873,232,389,
867,276,338,677,820,728,621,537,998,831,526,660,399,244,998,574,021,168,007,
531,204,487,272,712,273,220,386,241,100,491,580,768,479,680,163,655,817,059,
584,851,118,028,316,080,609,968,668,317,114,955,588,146,861,215,577,415,556,
078,099,658,731,781,583,426,596,067,818,380,854,814,765,824,575,669,316,411,
662,574,413,916,009,687,632,479,617,274,836,234,819,396,218,861,720,855,786,
529,770,020,285,673,767,008,533,833,666,110,517,528,522,282,399,417,872,472,
148,312,791,540,841,413,181,680,654,373,717,905,093,221,451,619,050,035,646,
904,851,727,852,586,412,678,844,227,693,471,173,982,281,808,883,296,222,797,
353,287,695,861,471,559,372,089,274,528,938,507,364,664,659,633,209,438,726,
935,027,194,624,316,465,744,742,776,032,271,490,963,650,560,892,540,474,803,
199,012,564,518,313,846,236,758,664,674,783,731,794,547,403,920,089,191,653,
527,130,417,244,185,049,089,008,189,396,754,535,315,356,636,202,363,051,445,
374,204,306,875,842,867,793,506,487,698,181,445,661,532,882,922,747,057,999,
630,462,128,781,344,512,944,323,041,194,661,701,393,752,998,914,465,495,284,
092,416,564,215,182,660,371,451,139,728,520,741,266,467,859,836,618,122,250,
041,369,319,761,718,397,660,571,575,868,198,148,682,580,181,988,369,911,457,
800,567,282,502,360,313,151,903,338,864,208,178,052,275,098,302,154,511,600,
513,059,922,757,217,519,780,039,318,624,192,595,122,360,546,439,659,170,026,
848,637,779,213,842,260,958,294,519,367,425,046,396,438,185,213,357,345,841,
855,930,330,690,456,132,113,967,081,321,747,979,657,838,678,964,426,978,833,
780,585,644,108,927,346,148,905,495,140,389,392,914,821,281,452,105,021,231,
433,234,050,478,891,436,111,707,435,776,822,535,553,155,486,121,167,531,424,
701,851,649,421,939,496,785,423,225,130,066,933,680,392,170,925,691,109,258,
467,055,101,762,582,583,913,954,613,201,843,902,334,755,779,021,387,758,037,
658,346,387,266,363,816,569,552,580,730,994,517,441,845,339,172,371,802,491,
803,872,323,777,960,780,149,770,353,553,438,390,968,735,235,468,500,822,978,
803,125,892,363,724,840,535,032,892,207,914,579,663,452,631,230,517,622,809,
877,391,136,410,253,788,836,649,409,868,069,174,132,939,029,408,154,563,963,
048,873,047,391,322,604,612,710,722,480,446,360,163,687,811,532,571,025,875,
014,550,558,589,441,136,762,175,646,743,187,915,399,696,375,239,185,353,870,
683,435,476,616,286,352,070,348,014,441,857,341,442,368,782,758,637,930,220,
812,981,979,570,681,662,247,988,149,122,394,787,958,458,498,115,065,692,107,
815,919,372,992,147,502,974,234,451,282,618,097,798,137,509,213,070,939,635,
096,320,391,629,513,832,700,232,868,056,424,701,892,646,870,090,156,460,283,
191,052,898,371,455,391,996,815,289,024,498,755,046,784,411,640,311,511,104,
882,523,029,829,594,937,249,526,646,478,740,311,373,570,449,934,505,910,756,
131,311,146,553,787,264,255,781,414,333,835,744,873,977,861,535,370,268,360,
959,414,273,871,540,339,757,685,669,606,615,933,789,773,994,934,715,770,554,
577,787,665,071,623,269,488,182,696,425,586,123,680,345,928,156,679,180,219,
837,012,442,519,970,625,226,624,390,188,895,355,249,786,837,750,137,615,600,
191,752,674,600,942,324,513,478,153,353,994,437,309,015,315,885,571,414,650,
288,113,519,302,467,622,824,992,990,540,558,276,137,918,767,402,818,610,305,
261,799,534,491,141,795,641,823,513,692,325,342,578,275,257,673,746,496,656,
923,437,833,709,402,725,390,157,169,451,957,925,385,700,536,956,457,359,421,
404,968,392,465,933,237,057,361,471,308,488,744,377,267,926,859,546,111,916,
438,919,021,913,589,362,245,721,882,535,639,202,904,163,500,140,472,443,272,
350,535,855,534,342,102,406,822,110,573,239,402,072,656,941,987,317,292,932,
118,434,562,104,951,382,066,862,095,809,970,393,543,382,778,087,861,544,926,
555,570,881,338,513,601,395,023,905,516,612,664,654,277,503,065,679,503,181,
972,153,597,626,117,437,748,783,454,238,999,334,399,492,007,590,766,280,039,
970,851,322,431,594,553,551,610,004,468,692,169,246,425,853,870,513,062,316,
921,116,910,343,880,453,000,425,424,303,512,829,839,954,107,260,309,706,404,
645,079,123,855,053,155,110,750,408,574,117,505,420,620,982,120,531,257,319,
900,082,897,811,692,061,542,040,604,024,195,708,522,076,245,698,238,069,679,
879,333,969,075,226,985,255,318,788,232,828,754,285,236,377,442,722,630,624,
156,026,376,340,107,654,103,623,395,973,950,522,251,409,187,299,952,432,242,
225,162,591,565,847,489,314,311,590,180,889,810,561,093,134,556,198,403,203,
388,384,397,499,362,813,791,999,961,251,585,908,626,080,362,994,028,758,320,
597,625,935,375,421,188,922,534,745,669,821,255,483,650,496,161,226,023,756,
780,243,604,434,823,342,183,313,431,453,022,089,628,670,010,289,692,771,251,
477,640,164,344,927,093,067,873,034,049,203,849,841,033,216,991,838,407,078,
783,413,559,583,499,877,506,065,445,420,004,035,961,679,790,235,965,679,796,
391,699,693,252,526,597,181,391,546,858,984,518,481,476,707,448,143,204,085,
144,443,434,257,019,437,447,298,201,316,276,656,358,957,521,889,406,284,098,
921,122,707,843,077,119,303,565,417,167,154,391,339,123,181,868,939,664,897,
998,418,421,095,310,746,831,326,918,691,700,978,519,140,023,633,030,921,041,
040,779,971,224,354,844,824,104,951,312,636,800,260,264,438,076,882,045,300,
768,991,874,714,859,169,518,388,674,854,752,971,327,145,489,089,512,010,813,
403,010,141,238,471,800,114,728,470,042,090,980,816,204,831,391,117,530,690,
272,799,899,486,263,066,021,106,212,335,771,253,100,095,759,785,189,628,966,
140,373,773,561,846,908,895,057,235,129,322,568,622,258,535,968,377,842,368,
573,257,832,451,601,482,797,487,580,346,217,899,583,180,922,489,639,815,807,
871,759,372,404,495,055,206,990,693,733,669,035,673,811,247,808,569,113,454,
617,549,571,291,983,948,627,986,839,735,301,073,227,266,524,091,194,254,295,
406,713,822,107,789,995,802,051,598,057,284,644,713,183,466,424,434,742,722,
537,080,763,012,838,204,847,440,021,686,608,867,859,125,676,764,933,427,645,
934,784,230,069,850,100,373,084,918,178,121,576,728,171,372,327,484,084,868,
329,349,335,581,010,367,780,364,993,421,973,577,685,066,819,667,483,426,821,
713,199,398,306,531,870,878,613,738,446,622,512,790,208,761,425,359,579,084,
660,840,244,675,287,184,314,219,930,589,817,202,968,665,484,490,139,824,002,
968,041,063,335,401,577,808,570,090,737,061,758,652,390,971,336,725,732,806,
347,978,437,440,910,904,143,316,784,845,115,148,864,977,245,982,165,645,550,
638,280,999,060,965,090,382,908,447,106,587,635,132,187,464,152,221,855,273,
633,232,830,739,662,555,701,237,906,188,951,906,019,340,626,782,632,465,761,
037,090,611,213,507,489,653,701,858,039,469,172,635,415,809,888,787,955,409,
178,504,837,403,385,141,170,614,221,283,805,088,049,502,302,874,545,192,990,
130,020,097,346,600,296,745,334,414,620,645,157,726,118,109,713,061,719,438,
825,702,299,200,691,769,519,345,948,637,560,566,886,327,081,575,742,418,933,
249,465,256,902,387,333,494,662,398,649,062,302,890,065,800,345,902,450,474,
576,906,482,481,404,949,035,057,857,724,692,466,639,117,138,230,993,868,679,
819,753,456,655,169,331,339,119,019,387,524,054,514,186,252,813,519,209,130,
306,691,716,727,851,382,625,340,119,017,715,929,427,978,959,449,639,956,070,
088,338,413,448,432,811,498,297,930,441,910,578,863,916,858,815,140,257,443,
512,893,780,862,856,079,134,481,157,717,715,432,222,134,191,534,642,822,449,
586,933,834,157,128,074,058,703,024,855,242,303,390,033,301,259,625,001,978,
082,890,741,290,207,624,687,621,741,972,875,788,140,172,171,257,217,336,488,
761,027,269,894,406,517,380,915,823,943,537,327,289,929,907,493,179,287,953,
356,896,409,614,924,879,316,404,183,352,485,708,870,963,213,093,375,453,433,
164,980,869,946,911,678,200,175,580,606,840,750,928,374,137,008,250,031,322,
126,910,469,140,664,868,440,877,311,054,209,161,012,002,174,019,726,772,961,
656,245,491,337,898,168,424,387,268,149,877,555,339,706,776,509,013,031,440,
578,209,605,007,976,338,865,833,118,315,259,214,495,588,969,276,973,897,685,
747,095,302,772,570,319,303,244,811,686,249,355,590,329,761,982,433,523,169,
448,374,474,214,568,824,358,356,331,009,213,841,778,379,950,705,581,693,131,
012,993,334,345,744,827,403,239,071,071,706,510,362,928,394,561,085,960,012,
721,605,929,146,979,775,987,973,922,992,098,141,854,002,512,717,611,957,189,
713,976,771,931,654,406,991,222,340,676,442,165,817,083,797,803,070,895,727,
588,189,324,622,133,908,336,958,788,601,968,450,206,681,586,345,431,612,490,
431,271,091,543,652,754,798,847,443,196,467,247,515,283,855,086,331,397,829,
939,954,575,131,958,224,999,308,757,196,095,824,582,954,803,296,039,544,544,
733,336,478,199,846,877,531,687,192,715,603,756,258,877,681,661,829,619,232,
472,348,700,289,889,833,329,058,371,323,372,502,639,604,508,933,195,914,588,
708,578,793,242,884,082,793,145,845,742,520,246,181,344,206,179,947,438,135,
293,453,163,964,295,224,110,013,136,828,861,454,233,340,999,585,885,664,627,
285,072,977,473,900,705,813,580,663,701,682,749,680,418,189,808,588,744,154,
750,121,439,059,439,702,578,508,380,749,831,696,697,365,171,994,125,662,391,
497,929,104,490,698,086,632,336,114,367,351,291,728,648,781,146,695,955,323,
977,194,930,017,743,920,249,032,154,229,165,478,141,673,383,285,147,277,978,
905,869,492,742,345,945,813,430,432,018,937,850,112,759,015,622,789,767,325,
190,135,807,979,870,573,836,997,052,285,971,099,015,618,516,103,691,546,276,
236,815,240,318,455,148,269,012,275,802,819,606,421,444,596,582,546,608,765,
457,204,770,714,527,866,022,922,457,212,082,737,457,201,665,074,966,217,702,
298,970,374,628,677,352,947,261,040,077,164,848,569,237,792,762,343,220,793,
089,123,995,678,255,277,167,084,713,054,964,382,498,629,939,767,793,386,099,
404,892,132,847,326,503,254,392,241,460,828,174,952,639,163,268,490,083,448,
263,953,144,833,989,702,418,150,370,678,552,709,101,107,722,827,580,163,280,
526,950,444,591,048,243,533,984,029,389,988,961,965,420,690,603,468,278,111,
818,890,655,537,721,214,318,295,990,788,436,777,266,639,678,713,608,159,371,
832,732,229,687,619,520,591,379,567,798,172,718,653,329,562,931,124,076,060,
938,348,735,966,955,044,609,725,742,885,089,580,657,240,317,769,759,871,974,
281,305,271,347,919,348,291,810,199,528,925,218,639,468,634,993,974,066,675,
958,523,573,815,189,638,279,204,264,095,330,421,639,590,400,759,024,500,855,
091,136,827,478,113,560,127,676,312,158,507,602,054,333,440,840,217,449,426,
797,377,264,211,816,958,504,047,240,166,336,549,103,461,137,850,018,354,862,
851,830,201,928,291,113,271,036,694,715,620,595,518,009,258,890,124,029,965,
924,012,656,742,188,209,648,001,017,877,717,225,819,433,981,342,266,311,409,
419,276,080,947,523,290,290,828,443,439,309,460,575,365,147,271,850,873,546,
150,482,239,243,187,501,856,495,546,528,957,300,651,202,099,291,251,357,145,
284,570,113,987,148,089,149,195,194,830,939,620,944,273,934,278,245,161,250,
372,002,874,486,303,827,967,723,373,170,543,029,439,974,049,655,108,033,629,
164,261,912,974,506,315,511,805,670,917,845,447,680,640,889,168,331,598,131,
950,484,647,126,206,326,367,811,461,078,811,803,741,106,488,782,646,087,910,
999,546,183,515,812,126,518,802,547,803,723,253,074,074,290,270,095,618,215,
966,681,350,774,945,220,863,892,134,897,911,169,795,436,927,682,446,094,607,
000,788,418,378,858,465,026,949,272,950,034,260,863,635,481,164,091,637,183,
929,898,626,919,552,550,991,874,796,529,220,440,328,177,774,421,023,130,900,
838,558,080,216,199,573,724,557,186,508,848,994,780,558,125,017,356,780,726,
847,867,701,677,204,018,476,080,654,938,700,948,770,891,353,730,462,709,582,
714,128,949,887,338,146,368,559,924,160,650,748,693,148,088,093,287,801,399,
711,499,839,089,242,631,945,020,814,492,922,331,432,371,218,324,348,906,758,
056,125,124,629,943,486,177,151,908,417,081,545,916,281,701,042,223,672,026,
680,242,525,303,601,173,912,173,334,749,370,566,575,685,762,493,951,654,840,
360,170,500,374,839,381,286,418,169,599,366,880,467,472,769,674,760,972,539,
892,075,606,754,022,196,218,454,805,905,438,339,454,672,972,065,841,797,450,
082,353,836,902,282,429,097,387,676,931,818,575,298,936,548,074,434,189,765,
961,015,238,658,808,784,230,130,135,863,382,034,049,709,931,183,443,029,757,
398,633,340,142,241,388,621,890,489,657,079,899,249,948,769,096,002,470,526,
191,952,673,585,493,106,367,811,079,552,381,419,541,122,432,944,439,621,301,
624,554,877,844,076,997,337,371,667,664,501,879,945,948,281,280,696,854,161,
085,066,699,130,529,915,853,322,122,196,073,982,664,944,179,072,687,778,549,
815,984,080,525,937,489,358,470,704,867,851,457,370,904,359,268,188,656,292,
978,810,372,510,204,043,676,201,776,779,100,137,904,054,252,667,545,051,368,
549,980,109,270,582,553,967,455,817,259,309,055,221,930,654,476,215,170,476,
081,587,390,340,225,591,063,327,004,054,628,117,616,554,440,745,620,922,110,
623,311,332,459,317,315,603,673,903,990,862,895,332,312,024,525,658,036,166,
557,039,921,013,694,206,857,825,907,739,969,889,239,827,431,773,971,424,042,
700,663,872,517,789,013,914,504,809,297,292,563,760,933,240,343,889,989,610,
828,093,901,445,577,243,631,158,077,100,482,274,004,646,574,838,934,318,671,
467,218,496,339,919,372,729,965,903,577,134,411,624,147,280,470,103,626,903,
661,578,644,646,694,839,751,706,165,382,418,127,104,695,208,638,030,225,034,
103,001,350,168,969,874,563,862,681,297,444,522,896,802,909,557,393,458,283,
285,063,859,887,232,954,735,783,360,278,647,377,210,040,547,371,145,155,401,
109,508,226,274,773,222,843,838,681,968,936,802,352,319,875,115,285,818,109,
854,455,238,180,344,570,555,224,877,246,595,512,720,946,457,188,781,163,807,
371,352,971,153,479,729,176,364,687,245,510,274,309,988,487,154,509,168,619,
387,780,404,972,822,280,609,381,330,163,825,573,130,283,809,676,678,348,273,
293,934,267,093,447,134,252,145,424,847,133,518,170,557,581,871,303,078,597,
630,323,945,712,418,857,785,960,493,876,136,228,607,582,695,216,969,856,335,
007,394,404,453,359,509,778,000,442,296,934,456,211,664,394,540,686,896,238,
181,750,257,720,981,812,987,712,503,893,236,571,615,095,564,479,011,552,490,
245,153,297,531,105,991,772,327,350,885,930,676,363,762,539,172,927,778,237,
277,551,551,395,519,360,241,734,463,031,817,941,611,142,937,805,551,933,070,
037,778,661,329,622,410,252,096,808,157,779,054,494,618,379,505,929,370,211,
979,171,195,327,801,070,344,220,079,395,187,372,829,167,127,354,752,900,624,
167,032,118,360,205,727,220,878,912,787,858,873,393,021,640,170,523,159,155,
368,995,617,740,991,516,390,781,438,940,836,161,773,561,285,844,079,001,400,
211,041,549,043,487,595,134,756,576,727,629,972,590,948,969,101,911,109,053,
409,735,969,914,405,836,354,159,405,243,035,468,049,538,074,907,121,840,279,
531,689,017,213,621,711,058,339,731,777,991,281,922,783,254,522,744,981,336,
496,343,483,518,029,386,011,534,767,583,158,746,763,930,954,134,300,367,657,
428,652,933,224,334,544,937,891,060,188,006,328,094,400,700,261,858,910,221,
915,037,643,673,712,891,503,728,319,648,899,599,446,965,163,163,961,905,349,
707,306,534,563,830,515,925,360,056,334,604,446,346,535,062,977,237,106,579,
486,133,964,008,274,795,935,032,073,264,778,232,256,193,228,888,863,397,083,
736,796,721,184,957,172,556,936,627,257,815,618,802,047,397,126,700,822,177,
676,691,131,169,423,025,460,573,169,453,366,704,680,805,466,285,866,478,844,
223,069,966,561,448,718,244,511,345,460,523,312,301,423,287,159,608,896,651,
772,822,474,786,318,117,479,640,355,544,217,758,639,222,782,775,380,281,210,
949,010,441,289,412,223,484,620,825,734,618,430,271,172,269,197,321,236,044,
836,425,185,874,821,539,107,410,603,040,715,992,325,565,822,699,207,410,080,
749,318,039,662,599,646,764,454,392,132,300,159,493,574,448,591,447,164,449,
461,391,796,783,609,369,148,903,557,197,887,732,589,156,224,589,085,698,873,
932,748,150,396,947,002,701,818,323,713,549,476,071,715,105,895,493,302,561,
072,792,913,624,151,732,819,605,702,776,944,998,728,128,159,219,556,472,469,
333,574,806,609,539,815,092,714,040,782,127,401,304,564,965,280,830,977,885,
893,904,158,374,001,876,596,630,667,455,619,874,748,559,987,595,038,763,949,
659,469,333,951,344,819,081,254,496,931,801,737,237,859,135,368,874,728,037,
828,008,534,074,436,842,309,623,671,037,245,371,533,188,367,731,651,881,994,
023,263,295,686,356,995,137,234,063,547,046,130,871,619,217,757,841,026,289,
534,121,290,702,766,137,949,017,462,235,691,267,826,880,992,538,521,073,469,
228,520,300,069,558,071,750,856,482,422,299,592,246,047,837,947,477,958,240,
391,396,092,665,174,678,001,124,110,680,943,075,705,961,015,058,750,232,789,
077,456,274,601,180,964,482,854,255,008,262,473,026,271,281,476,574,301,368,
619,837,511,534,236,264,160,837,583,272,887,699,003,455,796,586,215,986,692,
797,347,984,249,231,977,248,658,361,877,209,770,964,195,761,620,936,284,532,
566,894,784,337,390,785,219,817,463,492,932,982,126,219,453,917,375,645,591,
265,788,299,939,774,428,431,733,480,856,173,366,454,629,429,171,912,336,697,
534,797,990,996,070,550,339,029,838,636,003,462,836,501,635,102,386,139,410,
409,560,099,285,638,327,922,812,688,195,544,998,532,595,455,338,167,400,666,
568,314,331,536,378,358,897,145,741,023,665,996,289,469,333,413,357,101,953,
606,483,869,242,690,840,387,552,835,409,847,122,543,720,945,888,067,518,071,
291,009,746,113,119,656,879,963,811,681,922,428,001,381,073,337,440,481,114,
318,512,345,690,590,262,233,875,472,146,148,304,079,120,626,583,964,300,923,
325,241,376,136,045,464,364,799,025,625,579,747,560,461,674,758,610,269,490,
878,242,718,182,357,029,532,762,834,511,411,203,914,607,075,331,452,446,217,
368,867,212,653,090,133,297,269,374,241,585,543,811,563,608,196,770,464,117,
333,734,674,826,322,561,279,822,708,985,457,626,551,215,358,315,479,019,200,
677,127,292,714,559,452,986,344,119,851,745,427,155,478,413,199,731,578,607,
799,472,922,546,745,389,079,613,878,182,869,612,644,343,625,602,024,487,974,
800,741,992,676,302,790,584,187,228,542,443,013,276,040,488,088,567,099,211,
600,955,474,323,022,303,546,837,740,697,745,249,184,440,592,371,898,406,279,
249,619,111,311,887,915,846,308,430,140,999,806,757,867,924,715,891,648,385,
741,175,258,055,004,506,411,159,960,769,585,891,566,273,793,849,285,712,983,
628,084,397,793,473,338,274,798,569,261,819,418,492,718,357,251,940,728,418,
086,382,867,408,429,024,366,593,064,342,036,644,400,513,227,217,692,751,833,
384,521,171,548,371,738,372,001,972,861,402,906,702,708,492,195,950,011,108,
267,305,716,725,444,003,013,819,349,668,406,621,358,119,747,724,381,364,458,
392,025,348,132,230,715,820,374,362,643,720,032,930,219,229,172,623,372,639,
350,591,686,287,449,422,900,407,467,067,884,517,663,058,207,292,962,444,262,
780,958,106,658,000,735,798,647,756,633,624,616,161,038,410,458,339,781,768,
584,464,141,836,729,494,601,264,072,100,226,052,505,899,773,319,008,003,737,
255,922,384,389,086,725,135,780,578,813,383,927,323,820,740,204,289,707,097,
386,228,856,130,509,288,586,300,256,390,436,525,015,277,536,760,652,779,237,
015,001,328,429,770,882,586,028,040,350,219,553,092,706,332,792,002,081,483,
189,234,601,800,539,321,823,108,407,575,711,712,559,703,782,397,221,441,873,
120,765,121,385,403,821,405,790,567,509,231,453,989,288,082,138,850,801,064,
632,847,074,806,541,604,985,171,920,009,681,941,450,364,733,179,743,345,490,
087,282,529,115,517,825,998,498,484,919,877,588,786,332,876,368,625,475,825,
654,869,173,226,434,809,193,428,718,635,101,032,419,859,931,221,170,452,691,
018,878,952,957,760,762,679,433,566,138,931,953,535,945,880,640,800,417,560,
744,128,031,700,498,657,957,020,173,866,451,708,144,563,255,965,000,599,256,
173,243,353,230,058,096,096,199,109,812,531,489,364,388,357,338,226,057,648,
442,210,341,709,241,167,110,107,778,862,520,941,955,421,536,566,978,126,279,
880,712,082,732,320,841,671,082,847,766,633,005,115,764,902,850,303,918,070,
226,352,489,391,160,224,451,566,069,838,911,821,982,250,563,649,535,291,589,
287,326,762,452,134,701,451,348,472,168,795,492,810,581,842,586,894,272,827,
613,958,170,019,493,724,316,598,944,315,482,896,071,089,609,674,151,173,686,
919,662,801,800,181,502,741,985,637,038,156,000,025,777,292,721,386,873,939,
537,302,085,223,066,229,914,580,484,992,605,401,366,576,435,934,765,717,314,
349,279,625,853,088,283,603,561,627,184,548,770,459,485,045,177,458,579,067,
321,927,829,132,311,024,370,655,303,412,292,589,598,812,188,652,359,146,868,
078,994,155,415,721,937,508,611,414,058,879,449,083,180,853,011,128,527,993,
662,596,687,218,953,987,895,377,627,563,729,837,201,360,730,263,385,314,035,
367,335,466,660,556,742,112,641,253,260,583,299,651,692,104,951,416,721,345,
175,289,317,934,883,900,740,337,589,725,293,072,965,284,426,220,582,325,812,
707,777,799,846,464,269,521,823,999,416,438,598,727,125,705,379,786,560,825,
920,152,079,244,683,673,473,507,775,922,491,307,682,089,652,915,440,826,475,
649,425,283,979,655,733,152,471,173,079,255,543,745,647,544,577,454,493,257,
702,659,093,185,719,175,682,002,139,078,247,579,140,171,813,494,909,724,022,
444,123,231,125,371,080,829,244,650,103,823,015,366,341,107,628,298,875,109,
153,800,496,718,823,801,232,856,536,994,116,272,111,750,749,463,592,885,330,
444,002,898,610,810,410,787,447,268,135,191,070,099,496,091,652,674,961,831,
794,740,408,533,030,556,613,490,358,282,142,944,433,286,326,895,890,591,813,
879,666,023,914,717,594,787,742,937,030,003,993,084,449,016,611,943,593,905,
786,749,397,489,150,631,839,488,750,159,769,520,538,367,127,512,305,987,950,
690,939,632,271,718,871,836,813,591,737,921,406,511,493,557,800,352,356,277,
899,816,094,081,808,481,849,903,598,482,917,592,257,153,737,135,891,633,245,
676,664,832,307,124,684,135,603,794,850,176,182,678,425,828,027,514,148,480,
814,366,634,296,331,558,595,047,353,036,687,636,705,717,624,998,074,134,945,
938,572,766,112,883,012,167,842,478,623,269,575,676,954,263,484,211,247,690,
691,323,605,579,324,489,971,070,738,749,713,268,840,299,764,955,788,514,528,
174,147,606,009,183,550,454,565,375,787,888,149,947,534,123,204,705,233,629,
331,565,812,380,200,003,668,721,644,511,128,917,211,928,773,891,065,612,941,
711,037,795,566,135,215,425,354,434,407,953,677,604,555,116,734,063,633,205,
569,962,718,929,886,133,432,487,602,264,631,913,298,894,290,274,827,222,350,
074,688,097,904,277,945,107,262,950,628,601,720,130,048,962,594,834,395,138,
577,541,198,290,182,864,202,769,779,298,447,437,675,164,230,773,800,226,253,
358,322,602,925,910,134,286,591,856,342,709,956,127,104,546,882,009,368,499,
459,315,197,332,072,699,405,848,774,870,178,901,848,280,416,463,440,499,166,
990,009,520,239,417,487,072,449,851,220,836,270,408,786,213,307,380,434,905,
559,905,984,213,322,476,848,910,723,977,472,921,442,061,612,553,689,750,758,
720,774,218,801,148,806,883,397,507,580,918,401,430,045,504,847,734,092,193,
498,323,692,907,335,300,003,030,829,196,287,395,941,600,859,020,328,157,391,
031,042,728,923,535,517,284,966,685,309,883,819,524,191,746,000,667,930,161,
436,614,154,564,794,003,467,391,111,002,609,619,422,107,783,584,788,119,860,
415,153,965,712,092,096,176,666,367,051,236,969,412,725,192,618,770,040,928,
294,608,482,120,487,981,540,067,782,158,548,223,673,210,270,676,282,825,185,
751,587,465,934,254,190,061,581,509,075,638,277,782,800,112,536,131,376,204,
565,946,105,223,787,113,832,253,370,301,720,391,469,233,795,643,377,229,974,
469,147,414,990,021,434,504,678,964,647,704,143,200,400,857,698,176,666,791,
883,498,907,162,278,314,319,948,690,008,162,806,070,411,515,999,778,294,225,
505,880,731,513,976,367,213,790,006,278,478,144,221,808,777,020,581,728,060,
074,448,460,675,956,952,310,035,902,927,634,878,054,065,847,169,774,386,484,
090,695,425,781,910,457,613,229,421,782,237,896,262,117,559,534,341,687,805,
639,774,731,300,625,617,588,495,368,548,054,198,959,560,713,988,080,242,206,
292,060,290,214,253,570,973,712,618,311,063,288,150,614,946,117,648,805,738,
189,721,975,689,298,030,418,397,321,327,735,017,495,006,538,310,932,595,073,
801,393,499,490,972,209,344,661,638,193,619,072,291,832,912,859,958,045,659,
448,709,011,596,541,546,496,321,498,417,786,174,233,367,528,525,292,144,373,
596,775,319,205,995,967,094,657,330,225,225,532,089,302,243,051,996,393,843,
114,152,226,319,457,411,198,367,419,338,029,659,316,941,779,907,576,735,921,
571,155,144,681,968,173,012,799,113,764,750,488,153,362,151,909,505,428,439,
897,914,689,134,920,236,465,367,251,866,006,982,475,342,580,207,821,929,769,
445,032,361,951,620,795,119,362,953,993,508,086,676,336,778,436,097,817,332,
867,493,441,643,032,391,457,989,954,225,022,599,765,396,570,545,090,855,114,
381,284,465,829,594,872,594,006,874,215,995,568,975,664,959,187,950,617,326,
175,338,482,904,152,395,883,775,201,000,098,478,677,537,145,818,795,878,127,
631,980,715,909,558,742,601,113,416,591,890,550,042,107,866,013,774,989,059,
017,329,492,032,655,874,900,881,457,857,660,196,034,643,220,788,143,083,064,
769,486,472,133,142,493,905,376,543,310,760,563,779,527,620,712,818,025,144,
154,511,762,287,763,586,041,126,704,899,937,114,700,276,179,381,740,701,352,
259,642,345,336,502,833,975,320,613,453,567,635,547,975,186,868,303,604,396,
803,142,397,126,207,087,911,570,324,850,479,756,532,340,258,399,219,553,996,
686,462,579,529,344,710,457,499,946,072,406,774,073,559,069,368,820,977,494,
260,844,502,556,126,854,130,562,234,008,415,579,646,022,450,065,838,884,286,
450,714,871,732,747,621,413,529,458,870,882,469,324,573,323,887,482,750,374,
443,218,746,974,087,935,071,507,599,325,675,206,900,110,239,879,005,289,487,
299,522,804,500,758,088,508,214,521,151,518,500,583,888,288,759,786,828,317,
785,824,667,835,521,538,150,782,720,627,813,161,839,622,775,947,000,930,276,
430,402,234,450,099,026,067,666,710,685,728,855,806,184,012,582,098,048,899,
325,156,337,387,858,713,559,033,608,626,439,983,059,299,834,927,741,648,005,
184,511,228,887,849,601,461,199,164,245,050,921,528,687,146,823,681,787,561,
441,023,451,008,784,580,518,614,985,589,027,355,064,184,871,183,356,270,963,
488,974,391,917,961,981,995,488,681,145,287,483,903,616,591,981,602,444,106,
364,902,590,623,565,690,621,339,431,138,849,488,282,421,541,596,291,659,695,
395,742,329,836,419,388,811,777,741,174,830,740,845,473,592,319,069,359,914,
476,242,068,028,644,028,867,585,978,663,388,523,829,599,532,379,054,610,545,
652,928,705,657,511,796,133,142,959,250,877,234,406,873,647,475,512,886,605,
484,876,438,527,381,019,829,223,900,216,216,978,360,577,982,143,541,759,997,
334,035,769,543,452,615,665,781,015,260,471,537,304,319,897,882,567,245,866,
046,601,266,078,135,250,502,867,696,197,996,679,706,181,285,650,055,451,596,
352,390,594,307,321,820,616,447,745,802,655,906,663,486,952,507,708,657,994,
625,560,352,379,306,720,563,258,922,188,634,278,301,732,245,156,658,165,144,
636,282,114,659,436,853,946,328,620,897,107,456,826,181,662,984,436,495,831,
746,953,923,319,320,113,267,910,476,124,112,880,738,265,780,451,513,342,150,
689,705,532,199,550,859,571,917,805,697,978,010,416,912,472,171,623,824,027,
581,929,823,025,697,129,652,241,452,487,170,482,810,036,437,255,669,767,296,
240,210,392,232,099,449,663,613,922,889,210,302,449,719,694,716,022,496,220,
365,168,181,968,525,544,157,027,884,920,292,728,287,710,812,421,038,316,689,
292,320,462,273,600,723,401,347,691,615,802,022,789,579,145,618,155,480,952,
083,930,325,282,938,143,087,338,802,001,064,613,264,205,771,908,631,461,955,
770,352,894,604,852,623,119,459,682,837,004,332,685,235,191,936,751,091,074,
210,373,106,348,257,091,832,436,261,028,681,131,448,139,328,575,762,914,271,
471,251,823,879,833,966,446,632,411,089,170,314,962,919,142,962,562,346,402,
118,595,945,978,426,697,548,390,903,288,430,210,108,781,492,121,504,080,257,
658,842,676,474,742,429,265,260,676,243,542,981,406,369,151,925,039,440,474,
518,195,654,961,217,527,662,098,814,591,652,098,894,392,904,504,521,495,646,
619,535,881,308,909,692,463,127,143,603,913,355,287,127,758,515,363,339,628,
097,760,176,218,074,480,954,676,123,144,750,780,463,848,261,230,931,857,970,
544,173,615,962,319,007,545,913,001,054,728,097,996,767,575,530,686,000,219,
487,125,434,050,128,608,120,370,782,080,694,099,857,024,556,216,376,422,412,
352,059,981,781,034,901,927,663,386,608,859,644,111,232,360,602,287,263,606,
849,876,433,187,347,958,992,444,206,638,096,056,687,868,918,140,445,311,323,
359,597,439,905,471,738,187,405,827,669,144,961,936,514,825,675,717,364,403,
201,689,063,078,665,142,903,182,355,524,458,972,720,593,397,089,809,946,587,
271,027,256,857,469,765,827,194,483,136,409,825,180,148,742,528,001,331,331,
420,111,591,639,831,274,450,332,985,266,578,260,807,787,144,989,680,175,694,
499,279,269,453,031,567,806,955,641,276,078,716,702,895,194,111,481,642,717,
891,336,163,304,934,587,904,069,735,653,498,287,738,133,243,245,604,873,078,
264,054,574,016,481,953,486,729,225,611,140,667,001,050,733,475,383,890,004,
492,735,959,008,434,895,452,003,331,956,474,772,769,784,793,512,733,844,233,
468,662,217,980,759,282,294,136,019,187,165,091,683,425,908,691,263,564,522,
633,606,050,972,000,807,195,897,205,874,090,418,472,690,052,902,612,903,464,
786,573,317,781,242,140,927,451,905,020,414,541,916,373,049,474,006,281,230,
925,839,255,095,704,750,117,450,478,371,510,225,535,683,413,758,790,773,787,
582,492,596,088,647,962,719,759,577,178,429,229,222,920,380,199,575,353,517,
043,367,869,400,563,546,352,686,046,826,204,707,965,580,124,537,084,515,331,
444,679,124,876,716,522,635,738,977,275,059,390,243,717,416,540,704,145,950,
242,705,340,513,340,460,508,042,683,848,031,152,971,459,665,445,444,544,062,
464,610,665,616,973,386,225,079,088,817,937,153,217,316,659,480,662,959,200,
151,082,862,717,131,403,787,781,875,305,949,988,634,304,961,694,156,974,160,
629,311,946,209,860,347,611,400,686,401,210,769,585,148,998,265,093,767,852,
902,818,804,774,504,846,239,609,810,999,485,991,383,630,060,751,613,953,116,
171,259,598,202,581,150,896,094,859,419,656,316,105,243,985,174,643,530,231,
556,778,793,101,463,698,557,997,036,261,788,232,127,697,840,330,406,618,926,
182,251,318,365,581,279,151,609,322,649,631,881,470,469,738,977,492,559,401,
445,508,449,105,385,061,113,115,502,322,196,069,390,862,315,982,854,844,839,
733,200,342,696,250,602,667,523,531,027,060,965,804,780,497,450,477,163,785,
101,479,084,229,988,526,684,536,781,110,221,009,901,009,468,440,945,040,606,
063,420,383,731,261,645,722,288,263,939,180,397,098,478,947,271,461,796,300,
758,188,151,481,761,560,811,337,662,238,132,194,505,696,922,548,816,176,979,
180,544,166,586,725,469,899,033,715,986,540,116,989,542,999,719,441,984,806,
126,515,508,880,545,788,561,052,893,252,085,743,579,931,721,460,963,723,512,
788,113,280,532,170,054,534,178,061,696,272,389,164,566,688,255,126,000,562,
784,459,647,252,006,994,721,797,966,948,632,693,585,714,554,372,168,084,927,
511,239,842,144,083,958,230,125,381,104,681,815,790,313,556,701,575,133,956,
409,278,100,505,318,538,431,123,037,186,493,026,865,969,449,571,291,587,215,
893,241,773,379,846,923,054,162,092,570,472,028,691,829,318,673,049,837,239,
516,068,568,327,478,097,753,584,359,914,790,654,668,570,422,782,287,652,174,
636,012,818,415,701,696,686,025,451,984,007,354,936,462,740,453,457,556,241,
328,566,009,322,575,615,652,235,838,512,133,853,985,520,748,292,443,178,900,
360,921,867,507,263,594,857,594,145,768,659,067,970,199,352,144,789,302,697,
372,127,614,342,371,223,158,668,329,640,484,461,592,176,490,289,499,420,054,
885,102,862,018,963,788,778,912,433,817,918,463,241,326,597,075,034,833,227,
679,741,720,528,940,116,243,491,548,121,074,134,733,846,716,984,543,717,360,
319,098,675,650,044,151,116,641,559,114,181,419,890,914,135,677,190,446,406,
966,369,899,561,863,871,901,356,198,185,999,046,958,345,030,267,427,668,400,
277,186,756,057,340,709,881,377,564,409,962,384,834,101,675,347,948,867,582,
027,433,470,489,045,934,891,933,159,931,487,514,268,629,253,728,225,029,966,
212,141,177,666,106,782,703,507,038,146,039,041,830,472,187,460,044,409,471,
510,739,482,633,955,189,619,389,337,815,532,935,339,223,190,516,934,443,999,
128,857,183,461,007,302,021,379,371,600,856,844,491,380,845,904,649,890,388,
507,710,468,656,725,063,439,037,886,345,132,672,418,812,596,798,565,855,789,
598,591,304,946,105,492,193,599,176,888,094,912,515,043,317,662,145,819,230,
255,141,380,352,159,501,784,537,019,635,102,499,386,084,470,652,843,746,470,
371,905,004,365,453,143,063,448,166,710,818,724,841,746,957,928,054,639,993,
485,301,050,972,468,198,745,064,798,216,590,530,235,379,829,378,435,155,175,
737,111,527,810,771,996,348,879,354,991,364,560,694,200,130,445,091,311,811,
738,375,911,357,046,930,733,168,924,597,780,706,826,501,400,264,728,474,860,
080,544,390,676,644,198,137,396,587,607,332,409,458,077,232,671,459,698,572,
423,331,613,024,858,714,577,024,980,979,369,854,482,913,149,247,593,158,221,
938,892,352,090,208,037,509,991,165,488,994,591,523,804,320,967,115,458,487,
066,574,311,679,890,352,559,651,739,842,570,685,001,588,049,211,017,039,212,
548,792,316,036,982,057,168,309,713,815,763,783,208,840,259,511,066,120,606,
482,441,959,925,102,584,502,792,113,956,752,154,477,066,332,521,517,274,710,
012,872,520,078,867,473,014,868,145,582,290,512,972,872,741,337,323,916,040,
482,812,113,413,855,034,467,680,101,759,945,392,393,153,323,003,710,471,101,
257,981,678,254,697,512,873,390,833,188,676,765,320,922,843,765,206,823,346,
670,460,322,180,382,020,551,440,002,041,359,178,806,033,487,811,560,684,503,
827,995,397,946,981,045,299,115,530,081,442,524,136,003,060,119,317,458,359,
923,499,272,012,768,578,097,747,685,463,209,881,599,764,862,640,034,592,108,
954,694,309,464,065,718,260,617,517,065,301,284,842,265,299,690,553,093,375,
207,197,854,808,682,875,859,680,309,933,932,145,260,704,690,294,902,392,043,
648,558,578,905,955,049,403,431,623,365,999,110,380,919,787,672,236,337,540,
988,455,054,344,880,899,973,387,076,015,056,917,397,066,302,616,269,294,052,
719,099,422,076,596,354,710,744,777,953,675,968,202,550,347,136,639,100,147,
058,889,281,379,287,482,569,955,956,251,119,381,404,910,069,360,182,282,997,
875,214,233,643,623,462,177,999,260,630,095,355,946,648,449,783,699,888,987,
149,190,773,710,543,578,725,809,974,363,325,284,908,216,359,163,548,081,626,
334,325,188,218,719,392,179,810,693,582,957,502,933,439,958,821,385,362,216,
747,672,865,955,500,668,223,314,053,287,264,633,929,459,909,931,138,053,474,
155,150,261,556,270,562,520,507,548,870,155,989,095,473,508,686,384,017,403,
415,840,683,496,477,724,816,129,372,741,045,841,073,443,971,840,028,433,962,
471,334,347,012,597,620,721,721,024,238,289,939,652,637,718,523,007,211,560,
694,679,689,241,480,471,112,387,059,107,245,956,025,808,734,050,950,009,134,
166,493,508,265,650,964,336,912,853,982,467,791,068,292,205,412,448,133,133,
018,536,111,611,675,993,307,197,431,071,806,921,649,339,176,846,673,885,308,
878,587,116,657,094,273,644,527,529,664,684,234,813,849,098,906,099,605,986,
332,316,993,733,419,691,628,285,853,782,790,566,493,178,125,427,366,494,245,
456,733,368,950,482,214,947,960,205,541,177,133,931,047,920,094,673,832,109,
137,552,842,002,404,473,234,811,594,279,143,907,852,232,981,200,325,667,479,
902,194,176,056,733,257,128,284,074,885,604,780,393,605,754,832,355,494,758,
385,227,759,763,908,039,572,091,821,560,969,473,012,523,789,448,397,563,169,
134,548,544,840,359,827,181,022,910,378,374,655,894,613,580,588,385,947,851,
037,059,450,958,464,905,996,424,936,767,555,869,029,083,419,434,631,804,308,
746,153,456,580,487,008,753,784,052,428,058,899,113,070,732,973,977,597,455,
211,946,187,258,194,542,376,214,514,145,052,238,916,677,895,252,455,295,298,
670,812,424,288,397,575,566,070,944,193,724,928,775,196,187,560,314,061,805,
584,502,695,670,118,873,889,871,733,228,128,274,349,615,450,751,809,781,161,
316,340,804,720,768,718,312,892,509,236,121,456,070,449,600,293,589,821,645,
281,988,935,550,489,955,601,396,856,360,687,446,510,591,902,954,667,275,918,
735,655,810,838,241,696,858,560,076,983,488,958,595,163,279,405,846,376,690,
279,670,044,064,049,489,631,044,995,333,698,832,832,120,358,416,808,809,308,
742,843,966,323,936,220,476,137,994,685,838,131,680,704,961,063,949,425,350,
695,600,075,002,845,060,108,055,626,941,005,598,454,273,357,589,812,464,677,
518,163,828,910,323,558,687,259,689,423,342,935,937,812,006,502,780,880,860,
820,604,459,486,154,567,970,633,595,680,414,433,061,583,856,787,845,087,380,
277,149,109,628,620,208,931,587,673,977,890,091,096,569,103,570,473,811,368,
696,346,584,480,820,146,723,614,557,984,944,975,419,421,518,373,924,135,562,
535,114,917,659,156,207,064,036,747,037,607,089,754,507,859,201,921,232,769,
161,612,738,471,926,639,767,441,244,865,437,520,086,226,825,900,118,701,988,
190,495,962,480,427,958,459,527,039,449,964,389,247,860,893,377,962,250,678,
526,673,204,800,526,825,178,350,685,485,890,918,626,386,261,606,583,193,582,
530,753,788,445,950,180,468,320,969,137,098,491,804,575,158,689,789,749,301,
892,260,192,389,093,802,571,623,704,029,533,212,203,174,324,371,996,787,459,
797,898,326,213,989,983,010,593,698,088,091,387,791,915,616,759,206,013,876,
944,785,747,425,777,728,714,839,101,286,282,531,845,229,463,658,787,778,347,
951,454,490,153,322,375,934,887,522,356,921,256,370,301,321,415,484,198,500,
240,132,026,802,454,451,328,870,311,457,508,675,567,126,892,220,509,697,030,
843,712,423,291,001,071,849,085,103,145,419,236,842,445,534,848,638,952,678,
567,372,701,142,558,939,962,968,747,448,791,421,570,860,071,203,915,088,607,
603,629,186,944,160,049,292,915,758,805,947,395,024,853,283,495,868,766,977,
352,326,195,919,404,772,410,216,570,171,685,230,227,648,435,630,676,304,893,
900,946,871,307,647,478,848,694,347,020,695,793,306,647,775,187,322,917,773,
238,568,054,550,073,988,995,031,135,609,032,071,805,524,945,491,203,440,318,
269,177,545,929,699,730,889,626,387,334,168,854,433,659,287,903,759,772,391,
408,649,644,048,459,234,301,405,351,330,184,356,797,313,710,568,380,877,594,
828,165,731,690,293,251,109,124,149,550,409,887,744,514,104,986,178,425,562,
167,436,668,916,951,095,706,628,962,553,341,715,052,346,392,540,402,020,568,
856,202,931,448,197,821,683,460,631,452,927,852,936,129,909,192,267,900,872,
603,432,280,082,052,346,432,452,315,223,059,303,882,657,071,374,638,644,716,
627,503,178,034,618,742,085,560,825,811,940,044,263,623,284,767,802,568,361,
918,027,847,952,941,563,288,159,865,116,373,838,362,504,509,191,087,529,422,
823,909,830,590,530,364,364,496,983,453,635,340,522,388,882,285,092,349,693,
441,934,762,567,705,910,585,655,836,769,681,200,195,128,559,065,889,312,896,
427,360,350,538,379,200,798,975,855,278,096,551,118,468,359,881,621,594,030,
948,170,206,650,377,173,730,435,442,282,284,527,512,859,739,808,927,554,134,
531,003,285,339,442,989,528,454,910,304,400,345,900,154,064,737,549,426,470,
831,008,289,025,791,595,932,663,181,208,910,096,034,179,168,468,864,216,809,
404,413,566,816,048,435,196,475,433,116,424,305,850,561,611,652,559,479,765,
943,631,527,883,642,048,414,293,330,021,720,070,323,258,277,769,323,982,073,
490,914,560,417,710,824,708,126,721,746,061,616,194,857,268,437,086,974,710,
851,778,447,972,409,909,173,515,912,606,071,589,878,736,412,505,455,408,870,
890,514,302,721,248,813,432,431,182,844,186,050,071,967,383,980,109,703,250,
572,663,131,889,600,342,536,366,709,382,345,111,141,387,341,997,008,298,859,
762,404,829,393,362,474,988,102,999,352,026,620,462,758,504,868,888,785,269,
943,078,523,386,049,238,915,731,859,713,381,059,772,062,014,297,248,098,845,
313,794,454,311,967,004,674,749,893,019,539,191,846,728,628,361,939,633,634,
953,670,847,928,373,665,563,081,639,447,567,675,578,197,922,638,748,354,586,
194,181,695,056,738,064,846,119,366,557,750,876,674,348,595,663,138,850,394,
220,736,651,545,644,770,170,791,269,585,916,083,169,659,873,217,236,412,752,
852,834,524,591,058,581,926,522,273,389,346,175,607,153,559,158,211,079,714,
405,140,273,355,829,942,214,598,046,522,633,488,352,913,273,005,960,779,166,
589,915,491,937,507,173,258,897,062,360,633,522,402,709,498,824,672,622,172,
556,816,504,374,640,459,900,834,878,228,104,689,441,057,524,705,181,720,473,
517,247,278,678,400,955,025,373,169,659,472,237,833,598,815,040,368,020,495,
764,733,340,806,894,479,754,695,586,267,006,957,004,047,362,947,687,840,216,
630,094,540,572,334,919,210,935,452,687,645,850,758,341,893,955,290,967,793,
187,492,044,773,167,846,615,574,473,314,650,185,542,110,999,416,622,768,194,
692,500,027,850,177,946,677,495,831,277,207,440,952,168,775,433,997,011,252,
064,468,084,593,852,532,258,538,335,415,317,818,429,403,564,502,162,052,467,
949,503,061,299,160,900,625,684,793,760,404,505,349,811,673,314,391,137,368,
560,285,274,211,370,334,917,329,642,581,083,167,932,043,998,864,418,092,902,
144,750,692,320,355,280,972,682,994,145,528,078,053,206,254,969,097,565,530,
757,807,635,310,171,560,260,990,627,737,046,561,387,943,093,866,620,227,667,
551,934,317,921,473,358,951,891,836,132,293,699,408,576,695,947,169,330,044,
006,840,155,571,267,740,295,538,729,247,413,508,016,163,154,081,531,388,326,
926,003,974,092,575,538,909,216,899,997,531,603,664,297,232,715,357,256,771,
512,169,530,730,891,501,756,443,005,415,314,411,767,738,764,492,555,240,874,
017,505,259,994,259,312,587,002,257,652,513,156,991,956,400,747,624,717,698,
511,074,969,722,773,094,222,094,364,154,069,548,828,623,473,382,330,604,349,
186,621,899,317,678,047,213,484,677,220,766,911,115,256,047,359,497,914,395,
840,564,037,381,300,922,807,011,044,830,230,737,910,380,378,125,943,452,851,
171,528,409,633,566,486,913,404,078,981,833,520,968,231,998,063,052,044,632,
910,082,512,226,388,226,231,841,172,178,315,966,863,680,201,658,619,149,548,
652,740,139,487,868,689,632,752,030,816,808,725,189,381,399,512,259,030,820,
915,329,714,122,095,421,283,790,617,745,437,419,786,941,612,051,169,481,652,
508,022,485,899,740,822,348,096,543,117,143,416,707,829,380,502,811,198,611,
553,158,447,956,850,498,280,675,049,642,592,994,681,296,252,175,080,064,381,
017,015,944,592,795,454,641,731,201,056,730,736,681,015,243,254,443,892,310,
888,233,754,662,624,074,622,844,757,079,690,754,194,987,090,352,230,176,345,
594,879,441,493,647,931,555,920,364,058,890,756,519,071,384,771,718,323,764,
097,266,933,047,860,864,896,138,962,355,202,980,617,135,637,209,392,685,138,
476,307,056,680,919,318,485,247,040,069,988,672,328,442,596,539,430,966,275,
204,532,404,478,279,198,376,505,913,041,329,606,795,580,904,623,452,776,919,
827,534,722,162,300,045,678,684,980,848,773,463,497,894,222,304,704,767,742,
494,547,514,031,556,814,460,404,154,253,186,803,666,828,465,622,973,329,692,
855,062,113,599,185,961,399,062,147,767,900,028,185,596,880,844,957,559,610,
467,779,784,420,591,130,776,134,957,614,241,756,970,992,524,335,004,988,463,
422,660,157,290,645,519,903,770,228,344,803,393,891,403,174,005,043,098,577,
643,920,394,865,059,450,272,597,506,404,264,724,272,803,414,536,847,146,379,
159,298,678,516,192,496,636,803,803,001,377,273,090,638,883,546,817,982,632,
806,117,595,063,982,765,738,078,643,850,494,594,911,910,830,236,010,406,747,
233,776,961,468,230,929,385,066,735,914,329,476,064,629,318,166,314,138,555,
385,835,099,569,266,967,641,248,035,701,981,854,713,237,838,019,287,121,739,
852,991,449,652,609,149,697,387,887,534,700,235,904,866,342,854,987,948,566,
457,705,030,106,553,265,502,492,220,805,088,371,780,502,694,996,733,486,826,
263,523,964,311,834,614,050,851,499,830,807,601,894,199,813,414,213,491,251,
567,951,131,888,116,521,372,456,175,664,742,827,868,897,851,040,982,352,272,
267,740,108,329,367,349,286,470,038,905,251,242,526,778,736,027,536,946,251,
692,914,425,031,180,859,449,040,481,350,223,386,974,598,316,503,425,013,827,
340,131,394,327,479,922,568,778,087,861,260,237,717,230,606,510,852,075,323,
028,782,171,820,458,516,887,377,315,351,799,587,241,536,724,360,816,713,537,
522,656,187,124,948,041,776,854,833,319,235,762,359,519,588,774,173,922,412,
620,060,296,129,969,235,280,536,454,963,693,135,081,463,599,404,388,100,824,
133,641,986,540,000,502,627,289,422,990,785,838,005,559,505,230,032,001,796,
404,604,526,286,076,638,164,762,929,575,325,618,292,404,309,192,394,342,523,
087,202,803,291,377,004,644,801,941,560,753,209,864,493,322,173,307,712,457,
454,449,180,855,691,256,323,265,634,620,190,935,338,064,542,121,665,952,462,
040,792,114,308,985,486,497,273,920,687,467,736,698,064,783,403,467,754,548,
044,344,682,528,175,696,982,658,169,338,423,814,069,700,969,142,431,924,936,
490,911,878,430,689,318,432,325,597,082,299,883,861,493,279,261,791,368,835,
164,642,427,397,590,746,927,025,021,574,396,685,315,612,378,971,593,818,282,
902,777,295,786,853,226,674,227,005,272,508,695,013,584,674,150,403,228,540,
683,192,930,030,484,774,078,884,096,235,674,740,187,484,863,616,896,786,833,
064,221,429,153,305,967,342,222,488,928,162,836,327,730,150,075,636,819,899,
286,957,499,966,705,263,742,325,836,606,456,584,563,231,203,876,896,431,688,
285,685,367,513,856,673,771,612,148,893,641,287,756,098,085,535,845,049,384,
698,525,678,987,235,121,165,487,926,758,086,406,708,809,475,721,456,297,748,
210,307,326,101,177,845,119,070,149,206,447,947,960,659,428,459,200,791,589,
978,627,896,031,109,169,421,521,713,931,617,281,881,461,199,703,065,149,619,
466,412,605,786,408,548,923,496,709,099,049,384,660,612,116,653,004,465,763,
237,865,436,721,273,352,836,118,900,360,584,848,719,012,958,068,738,794,911,
670,344,753,166,531,682,428,686,739,034,914,381,564,561,366,521,097,358,994,
288,506,043,601,861,076,909,950,915,349,340,680,151,295,570,006,143,459,207,
058,865,195,372,451,385,996,115,471,832,366,651,215,071,460,526,157,578,745,
527,196,981,111,001,999,300,516,239,513,675,339,120,984,317,379,910,388,228,
928,361,987,937,275,827,048,344,959,536,886,855,934,103,792,726,817,770,216,
852,714,363,774,825,259,854,055,617,385,660,332,709,778,053,816,421,452,746,
111,256,185,320,947,337,137,706,717,043,055,193,612,289,793,707,526,163,759,
356,635,106,525,644,185,816,689,851,036,431,315,365,897,028,572,230,873,777,
688,693,127,391,912,392,080,342,897,600,175,061,660,401,516,989,366,620,683,
745,075,399,179,696,823,857,778,406,902,474,448,166,898,385,122,022,459,471,
754,193,999,945,330,423,000,398,153,283,652,635,429,609,048,509,039,397,138,
271,540,068,696,586,071,985,922,425,213,070,253,609,987,917,629,226,903,518,
766,552,499,028,036,495,368,458,592,585,359,616,413,745,922,920,756,933,014,
365,184,173,350,248,028,830,713,171,400,584,238,508,846,013,267,337,005,697,
618,161,532,396,965,785,424,978,485,072,714,823,814,900,202,225,545,335,732,
565,094,357,937,683,112,301,854,925,196,815,360,652,066,134,421,730,690,087,
632,265,892,443,255,311,541,791,552,514,646,355,192,380,111,218,198,896,236,
465,621,890,531,618,252,063,941,068,546,978,632,627,922,890,796,603,425,732,
551,584,576,187,158,661,220,114,520,830,442,584,075,376,365,186,322,232,100,
015,784,438,582,880,647,733,817,943,416,569,742,889,597,317,783,489,906,579,
992,945,728,421,577,642,963,699,754,383,110,570,531,161,090,742,445,691,303,
416,722,730,564,756,177,892,332,051,305,275,062,612,475,278,075,225,978,995,
698,017,636,950,061,683,493,786,497,680,248,395,477,838,873,569,651,851,509,
896,103,593,931,346,127,326,105,994,218,543,313,740,628,578,939,697,242,237,
744,963,729,364,485,390,686,276,970,450,562,459,167,203,103,048,164,585,705,
071,482,726,259,521,103,106,150,407,120,017,302,196,389,296,520,760,618,092,
765,299,058,077,912,069,638,518,040,415,642,822,188,783,166,251,986,506,782,
980,583,269,566,694,329,502,495,359,852,314,676,168,577,191,612,094,170,976,
396,425,244,245,527,788,142,052,779,244,036,318,929,097,403,603,387,903,110,
363,637,799,766,889,188,025,915,666,910,451,682,584,194,534,622,659,406,475,
228,779,968,022,023,855,492,548,291,146,538,938,740,423,169,593,815,104,257,
755,203,776,778,129,579,712,528,014,318,201,737,034,916,125,164,837,468,786,
178,720,345,190,876,559,375,746,993,105,221,906,934,729,130,171,600,966,369,
386,489,584,854,071,632,643,028,776,553,681,264,539,587,383,067,993,965,455,
596,381,168,744,600,625,781,284,765,673,629,974,962,820,393,893,088,478,377,
335,326,278,252,929,540,340,309,237,224,054,757,673,489,990,445,772,068,156,
414,244,473,646,436,815,965,137,669,197,054,220,953,843,167,782,244,541,408,
614,419,976,368,878,083,167,081,265,566,903,812,430,323,290,744,302,805,723,
576,218,362,575,952,449,689,210,360,808,452,583,537,562,131,500,638,482,548,
428,432,387,568,887,391,395,345,769,944,401,602,097,730,510,265,844,073,455,
562,711,500,616,570,536,366,102,329,423,270,118,534,952,527,136,097,651,993,
701,721,942,271,118,973,537,954,272,375,004,540,433,669,581,605,014,554,134,
096,041,228,838,488,091,771,762,451,720,859,217,012,344,691,215,920,341,144,
009,082,048,815,561,687,617,478,364,443,836,496,991,733,689,701,602,625,714,
125,908,902,598,253,208,444,630,392,896,991,976,826,902,702,442,440,898,731,
627,245,973,070,352,262,035,438,288,997,686,651,905,821,411,610,219,134,459,
824,321,130,568,722,350,043,740,842,407,046,915,930,146,828,302,977,568,761,
450,602,712,973,495,210,662,956,135,789,178,569,564,370,891,031,843,237,041,
016,607,678,250,455,027,589,884,711,811,319,414,190,159,539,834,808,466,792,
801,407,841,270,349,226,468,014,430,500,528,413,765,277,596,601,691,771,711,
177,035,776,293,381,275,594,580,183,128,415,424,370,802,056,087,239,272,238,
779,063,427,998,645,456,793,722,134,397,685,708,161,649,807,368,731,812,193,
481,146,058,677,676,436,682,637,713,018,754,241,799,189,181,848,672,191,310,
524,249,534,527,229,406,651,632,685,465,426,831,311,074,582,600,026,282,875,
245,245,175,822,432,436,356,832,221,817,042,590,883,647,560,449,453,561,778,
856,857,701,139,897,435,093,789,531,283,661,847,601,190,279,460,926,603,644,
912,414,788,888,287,485,787,934,117,795,027,186,877,773,512,990,380,155,351,
440,861,176,478,683,481,486,619,618,469,705,199,261,618,380,791,842,161,947,
619,968,745,409,105,924,686,526,474,925,273,094,121,480,355,422,304,426,718,
562,402,051,182,961,156,876,563,546,553,139,244,441,715,344,338,042,223,441,
310,224,530,966,246,731,975,624,977,548,334,531,004,874,324,697,857,999,368,
817,897,350,247,133,209,990,306,908,122,362,402,494,438,825,632,566,527,314,
525,574,045,181,065,989,306,682,765,502,844,792,867,712,999,917,982,515,412,
484,541,342,362,966,916,133,969,996,515,413,302,131,050,623,534,619,780,879,
989,481,397,573,397,524,462,656,962,290,666,035,219,071,802,110,813,021,726,
765,870,161,560,959,982,942,751,791,727,244,556,635,072,202,551,115,196,368,
857,325,990,879,851,465,999,329,182,429,532,878,488,196,205,222,001,135,820,
624,033,905,339,598,974,508,490,991,508,204,559,084,721,220,405,165,226,624,
887,562,696,265,613,659,910,952,512,818,051,514,239,286,659,434,445,452,140,
662,768,685,286,806,526,719,923,581,250,944,687,952,057,762,419,453,885,801,
839,888,165,291,805,110,147,826,863,059,783,930,196,096,275,871,449,843,274,
363,293,284,682,347,482,865,660,699,744,216,290,222,885,980,001,621,395,421,
379,125,801,656,861,617,553,613,606,777,470,662,230,772,031,671,849,742,313,
108,467,131,798,878,319,701,537,788,550,121,713,564,601,662,607,600,253,884,
136,285,636,536,729,491,321,217,871,631,975,955,934,198,019,667,900,197,861,
919,821,456,445,201,919,288,387,929,746,407,244,126,256,497,574,779,162,333,
261,494,223,397,386,679,301,898,094,093,321,776,775,674,791,619,330,437,391,
977,627,527,758,394,391,185,523,238,908,962,978,719,034,709,437,328,931,931,
605,014,815,964,886,037,676,472,578,705,406,603,797,181,160,692,731,599,259,
427,796,089,622,047,408,067,831,660,638,501,787,868,229,931,610,182,397,862,
963,260,406,538,297,323,147,588,951,763,616,515,477,281,237,906,253,482,944,
633,563,369,974,742,149,762,631,459,608,676,247,436,634,092,092,303,950,159,
681,899,126,827,943,923,766,310,680,137,258,289,928,944,563,784,190,518,441,
056,602,814,165,880,699,211,936,526,293,476,588,759,417,363,571,472,596,792,
668,977,589,466,026,488,116,857,826,326,576,965,046,146,164,870,333,802,733,
871,181,237,149,186,923,570,025,267,073,938,510,002,750,095,348,078,935,281,
513,721,934,430,547,452,469,144,217,140,304,457,395,686,147,472,726,624,170,
465,852,266,649,966,882,155,748,074,997,029,083,337,673,893,815,026,964,529,
085,408,261,596,553,523,562,374,067,984,964,003,282,849,911,920,765,264,391,
677,221,880,916,349,111,439,778,338,078,432,751,304,614,826,094,447,380,285,
537,798,378,683,972,536,545,249,197,193,005,569,084,642,437,574,572,318,905,
536,614,946,554,488,059,402,489,757,036,836,179,267,174,781,494,172,710,269,
184,075,165,413,480,187,811,706,883,838,821,503,217,327,049,507,145,518,724,
414,331,137,462,899,773,395,139,520,917,964,217,666,086,643,160,484,782,267,
647,070,065,060,277,551,546,572,043,484,325,525,239,097,891,594,079,063,758,
272,885,296,008,083,503,283,195,035,575,464,681,939,154,007,352,286,930,180,
580,245,422,527,369,889,913,649,077,390,957,801,099,110,331,388,349,276,047,
848,571,474,979,465,939,625,450,262,443,091,129,956,429,090,839,105,055,871,
818,741,377,822,934,498,310,184,972,171,080,938,335,956,984,339,702,815,256,
977,396,787,885,681,264,575,097,051,106,410,216,967,408,674,897,169,863,802,
140,122,293,723,936,510,854,884,369,348,590,835,514,061,784,613,496,415,859,
323,226,180,758,172,663,676,212,691,591,251,761,244,581,033,761,447,306,165,
694,962,261,800,600,308,312,851,381,087,839,505,442,061,078,607,755,945,354,
363,752,401,211,132,687,902,912,433,727,305,476,564,394,731,903,718,404,044,
308,291,334,586,793,462,996,462,979,552,851,956,575,765,294,888,022,013,593,
902,662,626,801,826,292,216,476,165,394,812,253,653,886,413,813,468,843,736,
666,545,395,013,753,636,440,663,551,154,690,959,703,119,955,211,608,333,045,
437,208,815,211,402,509,006,896,587,098,491,601,640,058,394,136,393,164,266,
003,909,064,577,025,371,856,435,251,545,211,452,013,724,231,240,116,129,856,
602,069,340,925,939,469,984,878,849,303,130,225,063,739,713,272,539,436,883,
159,136,062,627,896,853,516,682,357,633,152,186,259,479,218,146,148,483,992,
163,433,036,418,556,871,990,560,523,799,145,481,570,054,004,877,868,437,093,
891,193,784,371,015,024,750,156,463,102,010,180,085,896,418,138,288,271,918,
143,778,425,974,475,411,528,492,054,051,299,506,298,902,336,110,876,155,793,
878,809,421,844,808,652,744,419,980,700,540,758,998,508,423,502,121,342,597,
750,074,539,311,932,746,329,096,360,275,793,593,577,751,443,293,458,720,945,
292,879,351,215,208,519,751,540,998,510,026,028,811,349,212,662,044,688,217,
062,583,258,323,076,518,916,523,429,110,696,494,826,435,337,870,144,619,354,
335,315,936,616,407,750,236,611,485,596,130,293,820,213,995,357,747,572,150,
551,529,748,682,189,448,039,469,316,772,198,747,203,645,782,713,845,990,219,
704,400,016,795,094,103,009,302,340,979,626,568,125,067,152,587,195,457,714,
290,333,331,111,439,452,496,429,698,597,130,534,525,462,234,872,599,997,012,
062,223,276,597,835,921,522,531,953,988,133,317,048,892,665,662,506,776,615,
905,842,647,558,091,430,669,480,705,909,755,527,472,610,908,272,193,448,356,
967,517,889,517,949,269,388,530,410,405,901,180,969,195,311,046,569,836,333,
915,028,840,767,385,382,258,446,953,355,976,316,890,649,830,078,306,296,775,
746,669,146,230,527,726,795,785,949,636,292,104,390,280,392,306,457,990,164,
394,354,612,443,674,474,550,292,133,483,848,656,039,099,415,388,011,680,624,
086,271,113,856,635,390,150,423,929,485,844,052,467,884,199,482,485,880,356,
636,298,730,438,136,784,970,475,096,863,332,082,359,451,010,585,766,956,482,
174,483,944,801,602,989,087,782,563,356,767,398,318,839,730,448,338,714,410,
011,561,024,792,031,023,341,129,801,109,267,377,124,686,475,867,359,212,875,
003,501,018,273,864,960,446,013,360,500,899,543,612,716,275,806,441,362,900,
290,508,354,305,760,199,567,856,344,445,505,881,900,574,704,420,911,071,138,
632,587,138,836,755,270,308,051,836,802,091,683,965,827,022,851,288,901,543,
982,138,112,081,015,301,008,918,781,059,690,423,441,021,693,783,816,758,695,
917,563,780,177,138,858,239,910,769,499,778,494,015,060,210,761,090,125,274,
285,919,766,900,116,776,298,850,382,447,278,357,355,331,519,809,874,250,841,
958,666,895,304,960,086,784,428,241,851,236,309,265,105,910,425,151,922,351,
330,345,494,845,367,551,343,530,914,117,837,269,204,091,423,998,533,279,832,
185,243,782,103,521,244,038,424,418,000,030,527,219,183,675,583,957,293,053,
094,650,370,717,433,513,964,242,560,417,640,288,511,814,545,763,904,865,396,
412,613,444,660,078,268,888,348,201,345,910,018,922,020,106,338,604,937,936,
250,202,987,222,674,139,266,687,531,663,484,737,267,888,166,127,606,924,020,
490,373,651,761,577,301,848,970,014,127,425,204,957,042,001,992,651,889,439,
969,308,862,812,764,841,395,397,813,601,352,780,343,191,738,501,585,792,745,
051,431,358,756,567,911,113,491,559,160,989,054,799,440,526,263,936,835,659,
529,761,181,685,898,906,585,066,735,038,541,975,561,019,431,499,997,176,633,
818,518,691,598,050,091,639,451,946,992,613,094,145,440,225,622,280,705,135,
059,439,362,843,834,445,673,522,228,241,055,246,290,976,278,442,191,721,050,
560,736,882,887,366,780,868,596,951,592,152,148,604,843,431,782,656,405,647,
841,442,301,335,371,381,338,903,489,365,341,850,606,336,136,455,142,246,173,
884,461,995,394,192,145,091,430,901,095,241,251,021,387,447,522,812,703,775,
435,077,058,317,272,336,538,463,588,951,613,336,164,917,947,050,810,402,782,
589,941,262,991,186,188,731,201,040,161,690,654,230,766,061,700,846,258,699,
349,354,819,728,455,947,008,298,653,892,308,452,550,949,047,013,269,303,345,
687,726,142,239,588,724,492,555,342,011,880,801,898,972,837,851,182,607,128,
281,354,101,622,014,295,872,760,778,102,366,518,932,441,781,479,992,109,543,
957,175,922,598,645,616,890,798,504,266,792,934,310,293,729,159,924,773,729,
558,814,889,190,493,329,955,467,112,749,322,279,425,977,851,062,475,830,966,
174,990,950,603,853,342,207,661,517,075,484,507,318,770,630,207,703,038,043,
588,504,766,496,356,013,670,930,333,507,798,884,172,301,330,971,860,769,040,
589,953,718,914,381,708,736,643,862,148,518,358,460,754,885,742,825,015,282,
832,248,779,721,992,539,617,358,928,060,268,918,487,001,502,834,280,422,054,
204,708,024,907,375,877,157,884,125,090,805,472,640,572,209,989,883,149,791,
594,889,175,168,044,057,312,552,011,397,302,051,178,872,828,608,509,350,239,
631,638,688,507,103,494,846,014,926,201,070,258,678,506,997,501,011,624,486,
908,962,844,351,352,021,968,645,025,226,888,220,621,305,475,792,267,195,937,
660,669,410,796,664,450,591,137,368,399,472,286,066,653,868,942,052,554,079,
249,589,363,812,449,942,042,469,982,642,360,383,800,910,338,446,468,895,557,
900,785,163,096,076,951,813,619,560,278,920,524,595,084,720,080,684,128,815,
743,805,087,337,637,771,103,035,019,037,265,856,428,045,393,592,670,002,906,
156,668,113,057,799,246,134,296,044,735,980,086,503,032,522,276,637,555,803,
458,860,001,054,108,278,517,908,518,218,064,050,228,336,137,414,702,109,527,
613,833,193,404,954,784,568,351,353,024,659,312,516,186,653,394,429,201,824,
643,745,919,264,753,449,563,140,895,913,350,839,439,295,333,122,204,396,906,
481,506,267,583,186,354,932,319,807,395,106,472,696,630,346,075,704,423,693,
584,159,195,614,085,248,913,610,433,632,484,750,188,267,240,423,202,324,161,
272,986,092,218,366,720,173,512,542,652,154,980,728,005,537,138,183,189,105,
482,181,583,411,899,981,451,209,921,404,303,408,043,390,279,202,616,950,578,
591,308,917,855,702,791,755,945,735,430,345,847,630,093,710,843,195,864,889,
307,870,447,259,366,997,636,985,083,973,460,623,237,684,667,206,587,831,851,
297,753,089,777,307,936,148,041,059,965,187,755,541,166,250,824,445,957,249,
240,636,043,688,536,456,865,258,472,767,449,595,817,846,918,552,805,728,633,
845,990,003,508,118,864,880,014,253,029,456,769,893,099,735,436,334,472,858,
573,553,247,378,008,855,675,195,817,865,420,514,382,252,306,576,594,447,710,
023,036,302,880,648,237,261,962,428,360,819,205,099,620,648,681,920,242,018,
791,210,367,993,249,324,880,662,782,147,917,947,189,434,782,255,814,812,457,
837,435,867,968,116,301,161,200,757,440,636,356,518,356,656,717,828,942,136,
966,822,556,863,304,699,211,153,933,601,047,098,233,917,732,838,245,310,340,
243,902,797,987,367,922,366,238,183,876,440,318,343,823,946,362,228,752,012,
180,103,380,909,537,802,626,030,127,577,939,624,750,596,703,844,141,929,112,
824,334,863,896,650,100,478,884,295,547,541,193,942,035,777,470,509,764,775,
628,116,226,478,585,142,067,512,433,636,438,594,872,538,178,801,024,859,145,
895,970,904,695,821,139,403,167,562,326,956,273,807,667,389,901,137,382,610,
698,509,561,202,938,025,301,446,428,669,224,621,338,483,412,624,708,613,558,
982,654,434,570,726,085,546,274,547,766,266,418,184,288,059,932,809,489,651,
844,335,740,717,044,792,600,980,909,457,376,570,949,639,395,386,273,837,505,
353,351,773,284,044,727,885,724,311,242,487,366,518,349,243,683,174,109,608,
518,513,439,122,613,449,671,979,217,623,158,577,241,601,632,836,522,785,404,
467,456,399,476,077,325,294,958,851,152,761,362,746,882,483,730,963,223,108,
292,909,492,417,361,220,005,337,789,929,445,264,775,348,767,162,203,763,154,
273,946,433,225,097,148,900,033,489,546,010,181,752,618,421,101,725,606,979,
535,460,742,165,491,800,441,981,032,564,502,133,533,914,749,702,881,295,175,
998,160,925,210,117,416,512,541,377,297,935,918,833,305,140,808,162,879,873,
163,635,079,547,384,026,147,803,455,441,060,568,300,360,750,215,580,939,455,
934,308,650,084,332,666,591,434,122,475,582,503,529,215,948,607,566,974,820,
929,864,950,281,942,038,667,445,758,523,946,520,302,826,829,205,894,419,606,
054,389,451,789,174,682,560,816,019,915,253,130,309,345,671,942,318,247,318,
884,345,362,499,315,431,519,945,976,618,379,667,360,158,007,016,667,389,243,
721,242,325,166,123,220,899,265,159,822,173,996,216,737,590,388,460,028,447,
807,297,304,239,552,277,316,086,545,560,172,177,390,907,523,334,871,863,416,
241,074,811,669,161,311,048,073,856,433,441,790,706,525,538,840,604,938,887,
548,069,288,837,517,655,899,037,640,159,309,521,375,296,013,270,677,545,306,
660,636,469,134,967,964,615,580,508,121,460,731,585,617,427,857,446,206,499,
406,711,708,503,608,252,247,033,661,321,847,906,276,091,395,633,501,016,924,
188,180,407,656,179,196,749,775,495,256,855,037,908,318,848,849,305,949,932,
005,674,340,782,269,752,194,123,018,945,383,296,772,264,346,694,222,352,995,
865,819,017,058,025,777,159,581,829,552,505,339,099,755,768,188,470,272,319,
775,175,058,917,506,697,588,594,855,419,405,691,521,673,334,135,452,901,725,
218,831,005,623,680,580,577,511,620,094,211,126,110,639,174,947,571,366,875,
728,490,228,505,787,857,447,299,250,039,352,209,730,130,633,653,972,775,640,
577,845,957,795,458,462,670,942,852,223,476,318,172,173,082,961,974,835,327,
086,969,016,710,106,195,137,494,063,031,896,934,738,672,673,067,614,999,467,
902,918,740,165,801,325,789,019,704,354,828,265,219,904,562,854,276,050,887,
358,719,323,889,053,849,796,102,014,257,971,907,601,575,537,102,717,840,994,
022,309,912,518,490,058,437,390,711,345,664,829,556,579,111,199,711,545,276,
309,382,310,921,447,244,627,457,594,594,360,111,410,292,950,059,381,748,588,
551,475,454,279,472,187,178,580,194,360,971,044,102,454,704,683,339,569,142,
838,531,794,803,511,321,145,139,418,721,516,048,608,732,793,284,465,753,723,
987,545,708,721,018,868,090,967,291,016,208,445,441,658,944,756,110,192,840,
354,176,297,837,755,298,462,882,007,615,097,619,927,007,435,804,713,196,160,
401,123,668,589,562,208,480,356,384,674,023,773,665,804,167,584,874,832,231,
176,379,109,212,407,566,838,074,675,054,193,620,390,014,750,394,289,704,449,
130,193,733,273,352,422,186,975,452,914,778,558,576,149,750,122,527,788,513,
781,657,368,079,063,372,692,551,063,239,795,700,445,475,393,445,696,438,086,
062,823,408,537,836,886,992,033,935,983,655,462,215,564,294,622,553,852,638,
444,601,478,843,742,303,189,607,090,465,577,529,060,112,974,812,133,264,736,
933,618,477,163,686,652,810,260,815,232,527,203,854,073,998,975,192,753,169,
783,953,755,649,571,281,819,042,795,038,471,153,882,329,101,003,264,274,470,
022,816,577,007,495,830,480,842,940,390,051,331,161,889,059,584,666,031,893,
648,541,451,697,096,494,024,702,513,614,924,789,588,823,152,793,935,684,922,
884,302,979,034,759,363,663,161,369,280,875,168,695,978,469,278,945,262,892,
025,305,949,964,864,751,186,838,521,093,704,151,917,381,493,973,004,430,952,
960,717,115,128,697,676,307,187,177,683,359,577,355,941,349,303,315,939,201,
948,439,538,164,383,205,427,409,229,475,548,113,521,907,087,535,403,526,034,
678,811,093,712,187,144,205,763,048,382,017,847,053,598,945,907,206,272,676,
623,028,710,629,865,395,018,528,427,101,005,834,445,435,736,846,959,539,094,
589,717,537,015,070,076,578,755,161,779,039,771,450,630,218,134,233,152,326,
372,956,021,928,123,717,029,552,386,328,873,101,583,865,708,888,095,571,937,
671,069,022,118,207,527,147,454,537,940,611,947,521,203,017,276,258,941,350,
554,983,517,471,995,207,413,584,326,969,094,058,668,813,276,870,200,381,652,
655,711,942,620,539,883,122,697,921,239,025,101,329,026,276,781,292,988,918,
259,583,537,403,562,189,080,999,617,755,802,653,615,952,743,471,977,214,108,
978,616,496,579,114,274,580,085,838,514,555,602,521,956,006,501,076,424,632,
287,898,679,846,462,419,202,402,679,022,372,113,341,448,320,761,389,967,420,
371,649,187,410,906,834,253,320,301,991,836,606,472,401,280,591,922,992,952,
624,266,211,104,737,610,936,742,511,547,420,096,472,548,689,890,616,090,025,
055,717,426,471,257,799,516,463,562,853,941,797,208,674,528,791,703,501,700,
497,288,047,875,114,487,124,661,338,088,480,792,718,026,566,412,731,381,233,
036,755,154,164,947,922,689,639,871,354,693,354,923,694,046,640,706,531,882,
839,170,660,532,756,268,904,815,450,812,349,631,879,471,848,840,651,435,675,
911,293,205,910,474,607,306,264,083,406,238,286,121,028,233,578,770,346,724,
987,293,206,944,979,678,207,247,158,396,558,415,720,285,514,358,020,534,048,
491,578,180,003,730,898,882,606,555,325,186,315,652,187,992,309,480,463,740,
376,558,328,575,276,751,379,122,564,511,566,603,579,193,899,868,151,076,235,
485,353,632,037,007,800,301,224,378,644,864,767,830,428,138,513,108,832,114,
037,642,150,054,517,532,928,365,586,434,902,932,468,808,818,719,737,541,695,
331,484,831,327,141,343,357,857,605,213,965,270,882,356,711,828,890,022,575,
459,299,910,865,032,599,585,804,983,114,857,234,731,885,349,007,150,642,996,
914,968,200,081,322,458,518,034,841,826,086,836,611,367,393,250,773,915,168,
372,185,081,157,747,076,755,722,826,344,560,695,049,366,969,009,516,484,259,
496,606,708,862,051,004,385,277,975,198,612,572,400,577,769,495,273,813,862,
320,311,556,864,975,260,929,055,157,046,952,356,564,819,677,349,877,851,193,
077,061,009,389,115,505,584,006,992,640,137,801,829,555,849,258,604,631,052,
547,014,320,460,192,789,681,360,174,284,345,671,902,129,215,658,307,678,710,
296,610,715,556,279,847,904,246,588,959,939,894,327,444,344,341,674,595,481,
140,993,601,856,159,710,323,804,597,693,278,210,971,048,281,378,858,326,257,
922,345,260,183,349,116,775,741,120,420,073,302,487,648,579,042,620,761,862,
165,771,274,608,822,249,414,810,221,247,931,779,314,133,303,587,576,681,537,
647,473,249,031,806,627,529,272,870,367,685,685,825,229,673,144,354,353,073,
806,146,125,077,997,008,651,489,404,632,241,882,189,804,934,795,395,296,639,
943,348,420,944,173,617,545,705,022,759,802,340,099,688,983,402,025,284,173,
752,217,027,968,378,561,939,624,058,550,153,865,736,646,254,432,959,457,671,
348,864,259,217,684,033,784,988,167,002,926,120,114,144,155,753,661,285,235,
870,181,568,832,373,291,290,460,621,096,932,335,373,646,203,027,294,093,206,
821,168,171,211,667,523,112,675,219,792,946,767,202,898,273,021,185,919,399,
939,774,524,619,054,465,320,516,272,877,037,769,780,497,927,166,778,290,785,
447,725,622,125,052,021,531,408,444,303,641,283,350,324,333,065,540,299,382,
337,008,238,234,237,280,183,127,826,549,013,466,998,647,253,520,126,098,097,
436,689,838,817,554,825,977,209,747,338,438,086,552,961,665,676,912,574,887,
833,214,430,794,965,440,891,842,256,954,468,048,718,468,615,355,000,839,510,
722,124,925,445,015,742,912,065,692,637,674,018,669,072,985,882,654,517,478,
084,292,696,491,686,372,671,497,054,712,561,825,065,419,387,446,470,854,989,
265,514,874,511,058,361,622,091,089,372,517,217,454,709,944,403,782,136,637,
258,543,817,524,179,984,239,710,532,542,978,704,831,473,565,324,143,346,523,
000,105,228,685,885,084,751,751,386,497,278,369,074,751,849,426,474,454,477,
093,097,881,409,999,117,679,567,611,621,533,009,606,717,372,862,692,483,144,
754,592,313,921,155,743,292,955,398,140,683,028,936,476,666,745,211,031,048,
434,256,874,630,873,442,812,077,484,884,220,427,747,586,915,156,920,584,638,
116,827,985,326,804,835,531,583,516,408,365,848,914,449,433,046,923,845,964,
621,105,249,807,771,897,397,309,555,957,301,895,090,524,682,387,332,645,829,
585,809,740,794,886,623,992,538,589,288,148,530,136,927,009,864,790,310,720,
511,791,544,480,599,966,458,705,676,269,670,292,592,845,384,372,802,503,281,
649,288,948,784,015,875,923,591,217,456,821,507,166,115,427,819,656,547,728,
860,998,210,031,766,072,060,939,149,977,206,688,749,625,794,211,045,985,861,
047,662,215,393,819,194,925,322,144,267,220,562,363,645,821,467,982,899,477,
060,411,483,476,083,594,952,361,780,157,656,278,780,520,068,408,578,925,879,
366,641,081,237,866,716,062,988,020,367,965,882,455,227,878,871,199,508,123,
815,381,121,114,398,935,940,887,920,524,264,517,035,021,651,597,687,343,702,
477,701,009,131,533,552,401,862,491,088,867,651,477,005,426,209,928,084,935,
036,479,440,851,501,656,649,288,396,905,702,667,990,509,389,531,831,764,240,
221,806,725,064,361,958,896,403,091,165,049,687,000,494,719,888,055,157,583,
905,290,638,915,038,893,049,640,471,535,074,005,189,254,243,174,894,982,802,
345,151,199,848,921,099,136,969,806,395,374,621,096,540,014,334,409,065,201,
755,842,228,542,367,990,193,726,166,387,844,052,968,754,915,056,676,935,372,
723,599,698,141,163,295,961,989,728,798,120,083,224,469,561,840,842,729,287,
665,417,495,464,988,913,606,398,064,843,918,813,910,182,192,750,602,604,459,
951,299,609,688,970,536,380,812,961,991,758,964,425,654,854,585,622,797,454,
567,953,532,251,649,194,493,714,252,633,584,154,059,293,066,339,340,398,925,
759,797,409,332,815,167,417,948,887,348,317,241,561,484,300,933,453,173,408,
380,122,756,428,187,538,573,884,151,850,779,212,085,954,096,633,727,901,634,
074,375,084,723,015,965,356,857,264,484,475,424,654,000,436,491,718,917,204,
870,069,936,522,855,991,453,208,330,657,159,788,351,170,417,030,621,761,683,
988,975,668,456,839,576,101,640,367,412,624,249,233,934,248,171,530,072,523,
989,257,819,278,512,456,559,345,314,215,020,412,408,493,315,100,622,599,782,
078,136,705,765,382,662,187,074,085,286,870,069,869,579,756,517,993,905,290,
858,380,774,666,254,612,503,368,907,012,910,834,792,859,140,217,374,052,689,
822,691,641,510,003,416,745,425,675,972,126,119,454,280,195,413,374,401,702,
304,062,288,982,184,765,974,561,449,579,290,299,949,300,251,399,925,450,882,
099,635,704,321,665,157,284,266,855,324,535,520,906,813,869,227,576,963,511,
794,347,320,584,602,902,142,526,805,612,690,732,868,650,867,980,744,551,495,
692,250,628,680,906,534,432,388,547,004,259,530,241,493,517,802,015,615,598,
706,271,209,033,568,076,545,277,354,214,210,777,209,417,119,630,309,433,376,
707,185,053,989,604,494,660,445,100,654,720,819,359,732,159,539,152,469,836,
857,192,543,607,612,561,283,353,553,058,105,559,057,364,010,643,992,337,085,
607,148,523,234,162,054,296,632,736,862,452,364,556,419,290,872,044,699,603,
868,539,514,347,468,676,989,179,296,387,735,460,290,665,923,133,288,885,093,
244,081,742,216,569,230,407,887,187,552,125,386,251,899,110,938,907,334,864,
632,003,396,667,842,183,144,709,667,000,077,120,174,400,146,818,106,674,542,
312,330,718,705,045,122,173,981,419,669,610,210,852,208,394,272,598,321,489,
029,140,286,453,958,268,350,698,288,290,931,156,503,695,524,562,239,396,466,
229,895,423,384,072,572,441,707,538,372,303,102,198,304,770,234,620,464,968,
780,633,878,714,428,315,770,552,695,707,042,360,285,449,360,997,522,423,933,
189,635,262,782,953,578,693,990,091,772,308,519,145,890,954,482,192,440,595,
034,614,729,576,718,750,918,602,974,962,508,868,914,344,665,867,471,268,908,
733,573,264,402,454,284,111,620,594,560,509,847,603,998,614,747,330,130,547,
301,335,596,835,495,433,959,108,778,521,040,457,251,261,531,710,050,545,300,
606,696,589,389,598,706,816,543,987,670,326,940,401,088,822,489,271,157,591,
566,663,551,094,223,477,467,195,523,049,451,799,693,810,229,371,420,645,882,
193,847,853,842,284,375,028,922,161,908,927,709,419,802,720,936,158,136,771,
454,350,905,116,972,100,878,950,723,742,851,495,823,230,879,900,212,597,896,
863,462,788,966,824,480,022,118,579,097,525,281,642,558,268,659,743,857,745,
356,902,001,445,951,742,418,222,377,921,635,878,366,609,341,196,920,666,204,
576,024,789,084,912,590,810,550,984,040,176,430,231,653,608,056,514,932,284,
224,338,245,482,021,042,949,044,554,770,441,728,268,912,877,858,094,857,547,
411,083,416,629,281,140,208,301,446,993,401,583,544,258,987,627,330,730,696,
912,797,344,900,558,444,225,708,790,418,242,361,226,827,629,604,425,871,768,
551,451,570,137,623,840,700,239,747,858,531,639,740,258,489,232,137,295,328,
242,324,081,211,942,601,297,192,692,926,542,222,526,318,579,191,643,226,686,
639,958,304,495,838,576,422,920,105,308,659,361,689,023,372,542,832,388,058,
461,524,349,132,337,140,003,419,178,372,711,874,145,178,054,357,639,715,927,
646,303,856,911,975,367,162,785,922,720,572,691,771,249,679,956,163,704,544,
779,208,043,791,264,542,214,271,900,756,602,793,447,606,131,376,149,474,483,
391,809,314,993,512,585,608,479,369,817,214,236,103,048,164,307,259,186,785,
730,383,241,504,241,259,307,378,132,450,310,956,932,126,826,020,460,087,171,
873,931,624,337,033,516,328,132,343,359,353,892,840,507,001,474,543,760,530,
908,821,849,356,111,735,522,284,268,744,551,291,369,257,185,965,837,285,723,
700,559,435,077,057,035,764,334,083,633,856,955,417,144,858,608,961,575,517,
039,015,384,039,225,809,389,035,706,001,277,971,467,038,387,184,812,487,932,
196,311,823,853,822,092,771,485,842,002,102,260,791,548,981,667,540,864,668,
476,696,974,886,364,223,108,585,740,367,134,462,103,584,223,120,400,748,647,
660,550,562,653,130,041,446,604,185,759,784,047,438,138,381,305,761,145,028,
339,514,517,613,977,806,087,536,814,533,309,341,283,627,715,681,982,030,750,
861,195,653,712,152,316,209,507,752,778,226,639,195,763,307,871,451,342,584,
915,985,797,858,490,818,366,776,953,779,154,606,793,353,051,249,022,173,216,
085,342,702,878,505,722,461,538,079,393,617,034,735,454,400,873,510,050,514,
893,532,809,577,040,303,226,679,100,470,655,185,480,677,929,663,752,968,590,
146,454,739,109,165,416,945,941,176,715,645,222,724,557,329,153,327,770,420,
949,316,752,584,863,985,771,259,905,726,732,387,675,629,039,935,895,817,488,
169,173,358,206,626,531,891,742,010,677,902,908,312,602,039,149,793,994,010,
278,803,480,228,737,000,582,526,777,195,247,689,910,945,089,109,681,981,687,
894,344,443,674,698,080,685,218,114,285,370,218,106,236,931,750,601,882,432,
071,546,223,349,677,746,308,326,281,212,883,246,468,469,902,387,212,650,726,
850,271,863,896,902,014,971,639,214,354,320,887,676,665,730,696,999,406,460,
674,048,632,487,511,780,995,604,491,187,246,477,446,416,622,125,502,676,465,
116,581,787,862,395,012,936,772,715,480,831,448,275,659,621,921,517,262,071,
634,371,570,567,368,780,756,102,125,847,211,284,921,357,109,841,686,308,428,
045,898,169,046,147,400,729,420,344,696,662,289,508,416,193,311,180,579,076,
857,776,392,309,287,100,802,175,166,304,054,002,763,106,410,758,553,154,826,
623,379,772,567,149,846,114,439,631,500,796,572,051,423,427,539,161,036,168,
485,907,710,173,413,477,346,700,460,290,461,175,828,918,283,929,815,835,059,
973,044,703,278,015,616,026,067,772,243,561,977,564,975,319,976,025,051,134,
784,164,985,988,169,323,061,293,699,469,165,746,804,083,785,142,992,660,643,
815,251,001,648,120,575,827,942,353,189,544,397,396,165,606,036,623,311,503,
067,902,022,913,199,779,775,224,082,196,245,836,342,337,249,180,744,887,560,
541,333,557,029,746,050,697,947,326,438,124,020,484,681,975,759,165,305,885,
001,682,475,425,377,429,306,202,811,354,816,168,976,230,329,183,870,444,344,
213,141,326,006,827,478,959,169,766,205,860,372,717,516,250,510,724,047,387,
580,811,285,607,536,346,176,753,558,861,241,296,009,902,779,629,372,238,778,
083,817,236,781,481,429,772,281,630,688,133,070,187,760,466,356,626,378,800,
900,636,765,802,990,740,950,143,806,886,441,788,805,159,322,390,482,765,597,
208,693,589,305,327,887,327,651,992,346,844,730,840,765,955,398,420,608,622,
933,981,051,777,876,879,899,346,446,829,424,763,824,752,016,686,160,952,859,
696,722,639,248,842,799,680,436,553,976,038,667,350,169,584,796,793,679,328,
925,308,288,292,622,694,560,534,349,175,566,603,600,272,364,948,725,558,539,
022,573,918,141,701,061,659,740,954,392,471,027,856,778,011,989,411,380,001,
060,533,278,041,470,781,752,564,470,054,917,548,681,502,835,797,791,592,229,
515,277,872,251,176,700,311,036,597,530,816,361,526,254,789,700,401,921,034,
110,669,651,632,632,981,089,506,174,153,077,268,101,096,109,163,261,462,210,
064,971,055,838,326,232,777,656,999,818,757,211,268,503,585,343,942,014,821,
797,339,489,142,671,816,768,643,930,894,234,414,273,331,096,084,689,693,262,
150,037,631,721,629,881,087,652,521,912,215,143,230,864,540,286,762,812,631,
813,181,912,428,227,379,682,116,142,344,503,206,459,113,977,328,693,424,892,
854,789,186,252,386,945,253,809,814,656,961,909,267,693,193,381,556,105,280,
352,216,977,661,707,920,720,405,580,464,641,969,745,851,229,549,423,132,121,
926,568,104,578,100,384,573,569,001,307,079,551,995,344,137,157,084,165,596,
447,284,198,521,615,035,720,267,824,289,645,441,063,010,618,614,537,060,398,
163,042,768,432,900,780,332,467,244,324,220,884,071,280,672,036,303,444,773,
754,937,046,125,853,002,042,023,687,902,173,285,070,948,367,976,308,565,904,
530,555,488,395,302,358,894,390,780,886,859,284,958,296,554,465,531,990,904,
478,115,916,420,728,786,976,742,456,075,190,644,741,340,914,508,682,585,391,
422,687,148,263,293,337,259,015,315,973,516,420,892,174,160,962,223,362,990,
752,884,417,113,823,558,991,700,976,053,702,768,619,534,268,792,278,583,059,
596,465,664,484,917,436,243,407,191,533,638,384,304,455,692,000,200,456,751,
444,243,351,587,634,682,568,739,987,035,680,113,843,557,560,696,708,760,618,
777,642,858,429,631,487,623,482,106,622,035,768,581,158,283,775,107,007,816,
190,129,611,592,498,574,811,559,283,056,414,088,757,116,029,714,821,494,803,
980,769,718,669,746,928,936,679,680,813,250,979,020,328,464,298,122,058,309,
778,858,920,255,918,565,857,627,577,630,914,613,066,925,968,594,185,103,406,
088,135,035,417,729,193,370,320,849,605,269,421,442,315,147,905,894,522,930,
290,326,896,275,454,991,067,931,957,433,236,366,528,343,276,759,375,048,695,
145,626,570,251,036,408,975,583,921,899,818,951,486,159,074,521,486,660,807,
488,403,285,259,583,353,959,551,750,071,467,454,980,827,376,020,422,379,157,
424,602,485,021,697,775,076,043,562,852,612,831,294,089,761,700,676,261,115,
921,577,177,006,192,194,302,653,236,530,200,048,322,439,499,862,475,119,209,
031,756,387,820,076,217,336,356,464,790,894,908,085,108,816,570,494,484,421,
583,118,359,133,450,384,037,861,866,269,265,851,602,413,508,743,205,596,992,
670,424,784,276,066,017,936,406,706,167,401,770,968,583,493,665,823,574,162,
450,445,721,467,646,009,483,174,094,531,288,058,857,106,609,987,949,864,920,
465,679,112,483,304,292,463,136,850,155,281,478,158,382,223,769,739,928,342,
586,247,748,945,069,451,882,458,095,419,344,763,034,787,494,476,659,543,542,
833,328,900,077,373,447,107,909,221,351,090,561,451,995,742,091,482,910,416,
028,885,176,890,891,864,349,412,898,889,972,802,085,225,980,425,059,753,321,
520,480,306,827,116,642,321,248,003,146,505,242,397,426,299,651,270,469,306,
730,427,187,363,347,323,778,921,224,605,671,499,569,251,226,603,813,716,282,
253,684,661,767,619,184,094,581,228,178,252,105,364,267,188,797,226,960,520,
012,674,885,975,125,854,203,921,957,924,037,136,532,361,821,853,176,921,336,
999,621,817,230,551,953,647,384,384,450,252,982,570,292,308,415,059,645,022,
093,827,229,003,046,698,451,674,936,566,341,398,923,961,043,193,260,914,768,
181,409,373,113,927,898,908,892,221,786,558,743,601,084,208,978,420,676,689,
075,984,243,894,180,584,880,664,018,724,919,204,641,133,512,601,062,635,558,
952,377,335,309,979,720,441,765,647,077,042,611,928,059,682,941,762,386,307,
430,058,780,849,851,054,695,084,354,201,209,033,405,374,885,176,407,968,074,
015,057,661,868,354,711,368,685,412,643,197,699,454,503,894,428,300,026,325,
599,787,389,270,258,387,329,651,404,599,364,051,860,312,687,404,143,195,282,
590,600,552,199,249,985,168,100,890,427,713,449,557,705,646,681,721,929,010,
257,237,189,172,402,576,991,240,957,407,631,776,302,369,723,660,072,717,963,
570,379,031,852,129,486,910,937,299,056,184,011,686,995,668,600,620,998,231,
636,280,586,358,971,519,937,884,045,232,969,437,752,575,544,052,975,245,532,
785,697,533,270,625,125,190,077,518,793,857,163,536,866,522,476,396,786,344,
262,460,584,074,539,585,102,633,807,054,251,431,247,723,324,451,174,487,767,
615,912,698,136,551,223,093,022,779,074,360,419,938,026,697,726,536,695,855,
471,297,536,214,089,999,281,169,971,861,979,051,392,711,986,799,958,487,022,
596,418,419,103,563,863,920,488,607,957,588,063,572,698,349,858,609,729,812,
960,342,111,977,285,020,571,882,417,875,188,596,262,576,946,181,744,758,220,
635,165,444,816,288,614,605,366,632,385,772,574,732,425,209,607,159,451,598,
805,830,985,888,915,524,031,568,745,491,205,960,840,418,480,104,234,849,231,
728,494,142,246,089,870,435,226,509,438,529,870,021,671,774,138,409,380,666,
567,342,467,607,445,202,424,070,336,423,193,342,363,427,559,261,192,396,322,
273,894,803,742,005,136,201,605,701,705,394,049,047,427,318,014,785,078,101,
476,578,177,257,404,527,940,263,287,819,484,164,035,596,684,376,978,594,812,
070,480,309,080,847,035,789,681,783,476,295,196,180,313,376,310,640,309,644,
325,970,237,004,839,834,009,003,698,872,974,473,543,155,451,919,862,495,601,
100,680,103,207,121,378,680,361,740,280,145,996,991,803,739,243,181,882,338,
870,827,491,575,571,591,222,702,149,676,601,015,878,747,437,595,216,885,194,
388,749,279,461,942,266,234,736,479,888,061,956,593,464,860,251,653,863,413,
207,451,517,425,659,659,216,059,977,142,888,003,365,767,861,834,634,618,366,
159,769,133,424,199,250,174,918,386,819,683,651,792,958,716,842,864,804,645,
508,417,656,970,003,387,719,476,957,356,736,140,030,832,192,381,937,776,348,
977,198,627,368,218,308,592,733,305,969,307,917,124,179,848,714,178,424,502,
502,866,289,364,310,208,518,062,525,496,332,392,983,521,843,440,981,578,629,
028,865,485,933,730,870,253,239,423,407,384,672,485,435,859,508,159,445,036,
859,371,654,850,582,026,961,851,414,431,365,711,151,785,034,105,750,039,097,
619,732,221,901,868,791,706,790,992,262,526,179,044,722,349,504,558,997,529,
257,021,340,397,234,047,024,324,544,119,575,854,690,835,774,673,313,905,670,
637,868,401,103,756,570,151,961,341,334,879,117,856,616,098,640,395,149,641,
500,844,485,325,274,488,189,889,311,780,579,512,492,817,179,706,026,647,170,
822,165,058,993,846,415,371,082,779,392,485,313,955,555,558,956,126,755,648,
499,575,114,820,691,699,206,458,739,375,234,565,120,286,790,750,507,529,763,
182,355,080,097,267,087,532,570,442,482,838,033,635,575,315,193,885,715,783,
664,619,475,725,858,178,668,524,376,383,878,926,354,674,996,199,642,845,813,
066,140,515,765,319,539,484,648,370,751,550,556,482,409,513,362,347,649,616,
174,822,653,710,185,237,242,094,107,581,712,997,941,827,546,301,279,178,463,
788,156,314,059,047,044,733,353,570,604,375,367,657,318,080,227,196,894,380,
379,992,445,571,641,994,676,530,231,505,336,415,707,504,289,264,565,286,639,
009,439,178,868,386,117,382,198,712,765,659,616,557,931,746,082,026,577,588,
969,494,101,651,482,251,221,055,454,697,231,707,104,374,761,333,878,172,652,
380,315,694,519,990,729,710,376,478,316,707,195,536,229,003,430,283,833,377,
444,900,253,533,821,580,520,664,020,288,192,681,258,047,434,083,805,514,669,
877,878,469,423,626,495,257,920,439,261,665,481,969,401,674,935,047,057,239,
754,217,828,394,726,268,627,209,097,950,719,351,679,441,713,126,790,461,505,
764,677,928,325,307,414,911,558,822,133,102,116,845,987,741,409,750,653,425,
859,758,556,402,512,766,455,152,816,207,066,470,300,709,801,132,145,944,963,
406,150,803,465,335,339,453,138,423,340,201,012,861,072,360,270,775,353,035,
032,677,445,758,975,465,277,855,388,710,523,463,761,204,119,448,234,209,514,
147,163,320,540,912,541,110,223,784,598,136,100,326,618,514,423,147,572,358,
883,587,969,329,054,507,735,872,860,181,139,601,482,818,496,794,358,176,231,
813,836,020,268,324,110,556,192,176,329,622,993,240,084,986,654,143,903,950,
272,096,653,611,715,871,981,209,425,403,619,874,478,596,153,378,365,182,991,
972,755,379,637,636,154,374,530,377,684,062,145,761,937,814,242,135,697,001,
278,163,382,264,144,040,708,487,774,489,740,470,697,706,016,345,256,105,743,
111,952,595,951,903,136,954,838,685,426,957,453,568,036,917,874,948,275,041,
881,740,253,239,392,106,088,577,349,246,239,052,773,210,972,513,810,684,071,
587,508,642,654,713,626,115,636,876,128,996,143,696,915,312,346,206,611,392,
268,465,038,136,537,855,462,871,400,887,038,590,052,360,521,646,344,287,897,
491,237,713,125,915,421,449,790,819,584,303,713,788,922,945,620,692,907,194,
095,695,868,458,558,411,623,206,915,301,445,991,643,126,456,989,075,197,647,
990,840,828,137,841,526,791,416,852,529,361,460,734,854,591,365,446,910,670,
192,040,088,073,161,861,000,514,452,862,644,788,145,872,944,377,153,319,242,
585,412,283,418,798,258,777,259,419,762,958,932,587,710,188,125,184,496,771,
785,470,875,757,485,584,388,313,724,388,125,190,787,274,591,418,427,353,419,
354,815,086,484,729,501,735,192,390,842,962,906,467,962,283,521,099,513,874,
737,494,728,283,206,358,740,917,356,488,593,609,576,078,519,751,686,467,643,
020,905,449,973,258,240,759,939,160,641,688,951,040,163,527,958,909,962,894,
387,544,978,328,501,222,692,683,594,963,907,296,124,761,779,690,844,865,771,
923,189,853,172,973,864,820,686,268,284,998,159,126,454,981,821,661,711,045,
068,310,141,572,759,119,602,419,098,074,407,037,760,374,070,689,205,346,023,
890,164,531,763,913,384,066,352,465,514,063,897,750,462,960,039,162,060,048,
099,754,066,798,680,194,472,240,680,069,372,699,953,715,442,203,099,822,732,
107,093,126,334,699,710,161,628,042,331,439,237,938,320,049,060,514,763,388,
180,828,747,918,971,189,335,717,622,773,912,433,404,440,557,727,049,005,461,
423,090,908,922,345,318,225,811,418,851,988,989,463,472,525,584,708,497,595,
451,875,208,734,374,717,041,586,968,450,654,493,393,270,125,212,575,274,341,
753,480,071,280,904,463,939,492,864,406,723,247,884,279,882,134,682,939,262,
515,344,607,552,935,471,345,309,250,446,237,370,345,756,551,183,287,839,724,
571,686,717,656,146,247,744,716,614,084,666,185,005,812,014,298,191,166,918,
413,793,758,542,524,987,515,277,224,686,261,462,897,757,473,656,546,699,994,
448,816,367,141,687,464,524,901,567,816,799,178,434,568,493,166,819,833,474,
310,782,637,297,853,121,008,614,034,057,587,595,119,487,154,344,182,334,097,
024,023,309,102,026,426,759,601,170,137,630,563,262,567,139,380,457,789,694,
352,457,196,089,145,021,142,275,444,479,647,267,601,150,026,868,572,375,805,
640,916,557,915,173,935,991,647,227,912,161,536,166,475,537,648,766,250,401,
595,941,114,605,436,207,809,017,051,740,106,807,913,991,944,514,110,641,647,
718,927,384,592,802,443,905,782,302,468,620,048,204,680,926,140,550,468,966,
116,212,964,554,101,005,568,688,179,811,997,533,831,499,929,806,637,728,729,
087,772,684,089,919,808,400,339,701,267,952,985,144,909,750,851,382,189,627,
488,158,472,430,611,408,253,349,479,646,645,840,466,469,076,761,457,170,241,
237,438,089,826,999,105,319,085,500,243,797,820,529,266,246,829,609,769,131,
265,413,329,596,528,820,511,510,513,920,248,686,878,183,528,129,133,076,855,
955,056,935,573,299,632,202,653,700,248,464,907,151,081,923,484,951,659,949,
368,790,901,087,898,289,453,744,828,555,855,245,552,047,113,803,151,615,598,
105,074,881,390,471,064,175,409,982,307,233,642,960,530,912,295,177,821,635,
325,522,036,313,341,655,727,331,019,346,947,207,215,114,231,308,803,351,498,
391,213,475,115,756,543,916,503,533,973,323,459,793,364,833,647,240,556,538,
252,856,036,846,208,247,555,375,563,239,776,005,577,914,323,397,267,694,266,
702,433,817,195,109,711,199,534,024,693,523,961,789,214,512,147,039,242,010,
886,567,529,054,264,802,080,813,679,501,829,142,658,222,632,706,137,169,903,
720,620,408,694,993,006,263,605,020,055,265,620,025,183,495,128,833,147,596,
590,951,331,706,202,034,841,262,437,512,877,096,335,559,331,081,926,944,395,
061,094,500,286,524,365,913,445,367,114,735,150,380,823,556,247,012,075,031,
737,298,186,553,517,066,185,806,390,017,884,033,749,640,962,316,213,399,252,
769,868,327,805,767,850,737,159,133,549,706,557,720,269,130,247,315,919,910,
310,321,502,375,052,327,945,523,677,202,789,724,426,491,440,392,927,800,139,
287,127,334,595,772,181,695,439,890,668,600,670,857,588,860,168,533,459,508,
894,160,532,592,019,482,391,791,246,956,565,316,046,665,258,326,033,099,531,
521,888,597,946,805,252,858,191,925,078,551,993,164,019,880,516,140,701,688,
828,983,516,280,191,066,700,147,003,764,211,608,348,513,013,849,062,436,233,
354,411,576,201,510,297,103,758,210,459,185,097,787,171,769,109,605,999,936,
646,110,816,091,491,702,833,051,486,633,373,282,616,530,128,617,749,552,207,
333,275,594,376,253,184,707,380,745,434,378,964,487,952,739,651,052,095,134,
253,002,295,774,842,998,807,186,043,258,169,952,624,458,954,499,071,045,749,
488,314,143,840,208,366,959,685,308,464,748,642,560,796,729,189,723,553,556,
861,983,307,628,984,164,902,345,907,140,351,169,577,231,395,424,204,930,099,
810,805,161,215,566,779,087,888,347,066,686,157,388,767,279,686,207,704,540,
752,053,771,533,937,505,950,117,796,951,328,329,311,094,152,064,315,747,336,
871,924,694,209,238,563,767,678,865,477,843,607,673,995,811,891,209,141,573,
201,179,509,203,343,358,341,876,665,506,983,508,690,492,068,339,854,651,756,
141,503,365,872,805,907,568,277,438,697,369,240,325,380,843,443,652,192,179,
608,027,322,337,291,535,138,576,144,270,663,218,884,436,900,951,614,405,352,
470,431,092,405,836,046,173,908,640,895,476,184,966,988,942,031,022,350,513,
498,833,082,637,562,228,963,332,428,549,709,873,483,937,962,936,747,877,028,
921,385,448,589,787,584,365,367,648,990,680,403,501,944,691,572,418,492,509,
592,875,716,794,552,054,767,245,420,236,059,774,990,336,741,255,128,235,708,
219,835,417,573,824,748,156,911,921,802,562,758,847,976,580,005,266,997,678,
385,741,944,713,616,880,365,367,636,138,412,569,268,397,659,020,657,158,525,
133,975,124,127,400,665,566,896,261,365,884,961,880,452,306,627,452,298,113,
136,921,260,958,539,783,442,578,150,378,153,304,632,248,641,978,281,182,273,
674,375,225,660,717,272,085,479,455,952,311,933,777,622,091,140,629,876,090,
411,773,561,756,056,864,451,434,189,630,611,180,717,962,013,904,459,962,785,
248,922,600,687,291,453,679,588,822,554,524,274,015,385,886,076,034,496,919,
474,358,958,963,550,260,977,001,858,752,251,569,312,623,089,925,714,833,093,
010,199,259,595,556,896,323,553,562,612,849,785,896,881,473,547,959,994,476,
195,815,197,373,456,279,763,217,162,787,897,400,712,666,416,775,565,730,454,
513,357,079,371,574,465,820,531,971,099,447,512,933,820,402,466,839,006,846,
542,795,073,380,416,839,610,702,758,919,599,001,656,238,111,564,975,108,244,
376,376,383,523,588,038,764,395,063,578,490,401,239,817,076,413,429,979,873,
625,843,869,598,282,439,640,575,983,878,442,584,953,138,848,808,191,900,698,
425,227,819,644,565,963,796,044,139,961,119,635,702,929,777,646,109,733,407,
899,003,261,666,895,433,527,128,643,085,068,807,129,708,429,481,209,804,187,
605,299,284,570,194,851,267,349,305,668,915,773,341,245,973,851,802,588,664,
531,675,963,485,806,058,603,219,235,860,023,009,452,217,013,153,834,250,526,
609,964,853,876,051,835,860,519,874,976,601,440,622,771,344,857,102,347,927,
947,169,729,002,180,643,583,161,458,884,142,762,431,540,907,483,842,716,822,
699,603,465,545,331,287,488,524,853,157,078,790,005,925,549,265,560,881,955,
812,564,981,013,562,173,965,380,518,891,668,932,699,641,316,471,266,717,065,
254,457,605,646,944,734,347,988,713,324,986,679,841,089,771,163,661,056,566,
306,131,210,583,846,807,907,079,830,813,687,954,458,064,998,602,718,757,776,
277,846,481,463,893,468,172,032,921,751,188,347,538,895,253,687,093,964,387,
135,463,760,127,301,283,185,696,501,555,028,887,553,764,588,508,563,916,536,
068,493,974,046,699,476,493,033,190,952,531,518,889,268,068,938,468,896,975,
309,698,587,890,713,747,089,798,359,359,047,644,269,267,911,475,530,395,569,
916,534,273,768,112,714,577,790,246,918,435,318,572,075,458,089,499,197,017,
616,640,740,132,904,796,215,757,001,152,380,192,584,221,804,662,989,319,034,
999,929,573,411,875,458,448,928,406,432,689,923,457,076,564,305,768,989,585,
256,963,341,236,979,655,803,462,561,802,140,775,106,818,668,436,581,768,651,
952,794,895,603,456,989,778,172,921,826,193,995,000,362,777,306,974,819,345,
734,302,223,983,324,357,863,756,621,790,734,038,928,260,442,164,322,343,098,
982,027,193,205,323,743,639,867,430,143,212,383,027,133,442,880,518,960,542,
792,600,936,165,516,568,536,880,712,301,990,799,629,942,946,481,080,999,268,
388,216,098,985,812,407,089,542,011,336,267,544,143,702,957,524,399,838,408,
299,454,140,799,021,961,733,166,660,850,528,352,364,906,714,963,742,483,209,
328,494,550,395,931,581,252,983,079,755,698,558,337,065,095,363,248,123,707,
831,986,556,656,228,232,263,991,531,773,757,319,927,425,068,723,571,439,265,
020,244,130,027,065,372,945,619,166,586,289,423,065,923,587,847,127,602,445,
303,669,571,095,643,012,469,596,040,831,573,334,636,455,166,563,942,849,428,
813,368,382,745,709,817,029,517,703,474,292,833,494,562,210,180,255,673,220,
211,836,369,902,362,421,271,047,710,214,687,914,133,541,043,150,599,152,838,
451,909,505,496,015,776,734,124,248,404,236,979,702,147,540,177,518,599,385,
381,277,570,527,102,615,050,180,197,615,589,289,453,064,229,983,162,575,871,
985,872,404,740,139,042,823,840,674,068,457,198,203,672,484,770,771,238,818,
646,877,389,672,595,871,682,906,848,316,045,840,625,658,821,842,648,166,850,
937,772,227,628,881,154,541,531,377,423,377,348,677,163,698,789,478,788,913,
400,236,883,970,081,295,118,880,257,420,344,194,341,492,205,468,943,378,454,
024,771,154,796,343,089,456,019,210,177,863,040,104,997,939,754,474,237,798,
742,936,150,963,241,761,562,190,600,599,170,006,699,136,670,840,948,720,372,
440,004,013,944,747,975,865,401,365,342,960,454,526,127,482,884,544,093,676,
146,614,436,168,766,091,466,301,358,515,419,185,064,722,821,664,957,665,684,
320,584,192,643,482,514,319,621,230,146,689,912,541,429,810,974,053,498,938,
009,414,722,501,749,470,923,516,502,519,378,342,924,978,538,299,536,385,921,
332,653,135,662,202,546,357,263,209,741,470,959,451,164,040,119,778,235,516,
862,913,311,194,961,357,305,557,364,347,149,356,079,553,564,915,016,694,634,
478,455,292,771,183,289,678,016,063,262,569,625,941,404,358,346,422,302,460,
846,720,636,834,759,626,082,803,294,779,236,694,337,290,078,837,603,812,754,
314,768,907,185,083,449,050,219,350,558,570,402,188,201,683,569,884,656,659,
458,373,782,702,995,193,258,132,571,975,599,127,962,860,139,035,074,213,154,
657,320,148,343,566,373,486,858,116,644,349,049,987,297,631,380,661,756,757,
671,055,844,889,221,309,926,829,771,465,282,064,366,424,373,960,396,692,886,
420,642,925,508,546,065,410,549,166,915,740,114,778,228,050,900,153,595,334,
495,161,493,353,560,239,156,811,751,193,097,605,994,498,653,621,525,994,906,
801,742,278,092,242,896,508,050,706,541,140,354,679,822,315,779,724,447,991,
615,557,465,416,940,252,846,727,958,211,694,894,690,087,534,772,529,024,911,
279,123,529,873,606,721,341,267,040,142,451,995,753,627,502,973,304,192,067,
281,850,371,977,573,907,706,226,621,952,126,777,836,987,613,772,686,611,082,
443,572,653,100,157,694,757,080,119,542,224,895,151,662,126,263,544,087,544,
025,074,078,272,718,704,259,584,379,094,025,119,138,813,945,147,807,389,525,
174,973,559,764,209,861,451,923,740,468,706,692,532,839,191,751,607,097,390,
788,368,797,998,234,920,240,047,545,957,360,421,011,759,112,623,498,285,844,
859,967,725,765,862,763,816,940,227,214,066,604,721,144,229,580,774,230,232,
286,006,650,053,682,877,841,215,092,262,844,825,726,326,235,849,986,772,971,
127,192,118,143,883,399,366,778,783,066,357,944,788,147,919,849,515,038,716,
100,208,330,326,036,336,921,639,890,247,830,945,954,699,793,796,376,698,669,
774,947,781,176,495,714,087,557,820,157,198,999,939,764,013,313,586,787,814,
434,598,787,352,802,445,118,718,755,328,938,849,767,857,860,934,321,594,826,
634,422,883,033,984,801,517,959,204,020,337,896,417,503,632,499,312,206,029,
237,044,549,851,011,045,875,918,879,212,869,258,314,440,450,391,285,005,831,
295,482,685,646,114,259,298,835,851,988,456,858,287,774,756,733,222,344,763,
502,065,791,911,137,412,980,463,851,418,653,354,168,591,226,707,703,834,487,
289,327,436,610,074,394,748,691,535,579,580,664,371,570,347,462,608,553,523,
224,161,219,283,002,238,653,430,083,232,530,662,691,256,252,259,969,515,066,
283,416,036,310,031,754,955,021,938,499,682,879,251,217,329,756,484,235,534,
774,978,686,121,316,429,935,931,374,137,648,910,981,998,228,710,247,868,560,
074,210,845,031,939,731,567,765,398,125,990,343,757,386,983,700,515,301,143,
786,778,223,037,307,938,054,926,264,039,537,769,492,190,012,794,384,813,231,
946,843,773,852,310,368,480,646,802,004,344,951,753,412,384,267,733,456,638,
126,236,388,668,311,045,454,256,866,520,331,620,939,482,736,083,162,702,750,
040,184,379,293,461,225,657,704,030,710,601,837,128,461,298,853,094,398,374,
642,105,735,995,058,851,854,800,857,495,699,808,118,956,579,557,476,739,581,
625,753,459,760,646,761,898,844,761,820,923,102,577,716,061,734,255,925,213,
223,073,671,267,666,600,538,193,090,013,248,588,064,491,801,467,962,668,133,
362,894,302,495,661,240,193,714,437,980,520,696,993,034,925,334,246,931,582,
084,135,401,552,268,795,772,712,965,278,223,606,721,585,624,780,399,176,936,
498,688,068,305,842,589,635,983,351,382,178,850,651,638,589,314,823,892,368,
437,514,368,015,145,614,392,998,605,801,070,787,870,675,769,541,292,337,898,
825,894,096,725,424,279,785,839,367,012,022,903,244,409,358,585,052,758,075,
347,608,951,455,795,052,288,375,495,082,225,493,508,179,665,431,557,997,859,
885,841,547,957,778,993,436,047,574,543,771,820,329,068,497,963,502,210,938,
443,118,378,182,130,574,063,821,355,247,917,278,337,067,345,134,512,406,830,
100,665,826,732,221,988,644,438,016,427,208,760,754,403,893,988,575,985,199,
627,206,608,286,314,593,555,218,635,622,243,485,649,372,667,423,697,175,098,
539,345,747,943,860,786,787,546,268,429,403,490,754,593,556,324,628,536,530,
180,682,686,174,485,871,828,392,307,553,905,951,164,294,864,936,603,490,072,
994,970,777,644,212,443,145,432,416,023,916,496,694,849,948,079,055,070,490,
851,134,133,367,508,370,175,088,517,929,342,557,595,709,706,059,846,376,397,
776,068,674,721,445,185,397,345,597,217,545,976,809,134,200,874,641,518,667,
447,854,236,530,650,832,090,166,623,082,441,779,944,638,075,359,734,460,861,
818,357,041,853,569,917,579,172,962,394,760,623,760,635,407,803,415,828,603,
532,176,478,321,731,926,298,751,716,845,827,311,758,436,057,714,866,794,254,
221,894,660,144,160,512,032,003,035,923,442,578,560,186,472,661,076,069,177,
078,882,207,268,779,460,243,136,172,381,620,641,599,665,660,625,660,837,399,
236,890,027,729,011,800,437,759,770,103,338,239,506,078,798,264,071,195,390,
945,256,518,549,918,780,279,904,400,916,647,368,042,748,636,644,985,774,231,
690,485,742,619,690,418,125,551,626,731,541,309,060,377,771,441,686,502,869,
413,722,180,791,438,937,605,300,620,914,446,694,166,877,696,340,967,133,904,
409,282,149,546,617,119,887,811,043,654,824,283,399,548,337,163,087,703,301,
699,729,582,024,630,131,211,069,234,981,874,442,528,258,288,536,497,749,409,
081,629,699,407,225,211,927,198,285,424,287,175,069,712,151,796,595,028,056,
925,782,957,708,133,549,461,803,073,512,398,264,274,257,808,747,410,856,729,
282,759,913,638,714,623,791,320,620,853,179,172,306,831,487,187,887,375,093,
189,499,323,361,662,884,775,272,930,552,717,863,361,351,558,349,356,098,953,
612,660,716,503,137,810,404,514,790,531,983,718,588,865,786,916,683,217,960,
710,145,711,278,882,825,468,389,167,318,559,277,792,893,660,113,281,271,295,
865,163,683,131,149,656,130,811,003,111,794,624,577,346,104,541,868,093,062,
186,372,226,633,653,111,389,669,365,695,838,268,111,523,020,744,630,888,817,
853,097,274,524,737,874,961,115,383,785,873,954,062,238,786,816,327,414,610,
729,920,290,609,895,595,978,866,676,480,997,770,479,756,216,348,907,527,137,
671,885,816,803,534,258,404,082,784,952,429,980,134,105,839,499,745,502,171,
848,968,424,006,834,170,858,415,669,300,349,652,274,898,270,328,341,908,053,
748,032,060,213,531,566,549,973,591,803,631,043,698,434,801,342,179,397,592,
573,615,400,633,261,143,967,650,754,523,335,469,650,929,522,542,438,476,740,
022,793,828,559,736,614,093,620,328,520,992,161,972,940,138,558,014,313,876,
282,300,718,974,467,235,574,568,057,142,645,465,040,320,909,775,764,057,286,
367,653,826,524,022,214,481,594,158,053,566,620,545,692,883,941,280,856,930,
030,368,841,214,758,460,335,203,270,307,930,340,837,327,670,811,288,445,439,
179,611,649,039,721,968,149,226,499,734,794,694,337,689,463,078,637,101,943,
185,056,390,590,607,637,600,132,134,215,337,231,834,516,903,009,178,302,384,
768,678,191,198,102,581,517,495,478,078,087,314,068,982,210,861,508,404,708,
292,616,823,814,460,952,522,381,958,077,553,059,537,798,926,221,238,152,362,
033,589,356,432,017,331,499,927,854,319,860,185,601,867,680,579,849,865,558,
328,669,328,579,897,046,866,552,532,124,760,051,396,138,266,151,836,655,377,
743,021,140,622,073,239,822,572,746,633,963,369,564,204,165,567,534,113,553,
246,474,121,012,656,088,316,347,537,582,057,994,949,176,483,944,424,951,789,
099,405,625,951,186,494,300,716,943,342,883,758,233,871,538,649,037,158,149,
699,052,418,987,909,299,567,757,648,746,623,743,004,549,565,914,199,743,088,
845,397,189,182,155,518,121,044,077,251,855,558,258,882,329,535,015,914,478,
025,107,848,692,823,444,569,063,583,519,651,165,604,091,273,664,766,777,714,
206,047,423,050,837,339,751,436,917,911,761,249,465,517,747,755,811,922,118,
852,470,871,396,459,951,674,856,121,691,729,055,677,412,423,319,266,549,829,
146,323,298,326,045,265,452,591,362,944,894,413,418,900,814,792,521,710,369,
728,623,500,834,094,162,775,214,963,905,077,754,758,214,980,045,994,937,926,
569,470,359,221,822,978,257,161,594,229,701,846,203,393,876,783,607,198,087,
002,016,446,879,047,538,646,635,800,602,737,633,223,394,981,536,488,551,009,
224,184,907,031,919,645,157,711,634,474,970,277,928,723,405,287,534,847,231,
955,109,397,014,045,983,104,067,697,702,247,348,408,609,236,365,939,509,766,
863,344,880,213,707,596,051,171,105,518,523,869,606,941,170,308,518,137,606,
546,301,080,014,173,564,908,941,052,852,219,999,873,887,584,193,554,705,174,
985,648,478,742,680,979,924,908,223,605,693,414,057,992,910,939,491,058,347,
236,673,799,602,575,486,995,968,040,397,279,814,819,441,588,261,514,497,824,
132,170,106,436,929,208,237,866,169,181,675,356,447,393,562,314,949,922,946,
425,044,049,265,388,380,062,945,015,225,789,514,755,950,589,925,546,668,254,
312,947,507,665,275,806,181,783,778,125,660,186,765,250,628,024,437,032,644,
625,497,319,177,846,206,478,373,088,035,317,121,218,680,301,855,934,781,994,
491,275,925,100,203,498,546,146,970,725,336,361,750,820,788,328,676,240,624,
448,417,239,033,687,893,148,420,952,879,836,712,141,540,469,510,591,808,723,
153,571,996,779,427,314,368,157,573,509,666,861,166,398,886,964,624,215,124,
320,180,287,298,833,824,000,320,842,981,038,290,611,095,370,546,592,290,903,
515,684,213,872,310,934,403,697,796,499,093,968,960,481,420,183,450,832,779,
417,766,664,180,638,216,920,934,511,058,908,888,658,683,490,750,869,884,777,
326,019,629,479,239,042,912,714,497,426,696,705,473,783,109,545,635,699,259,
406,793,122,718,789,187,155,999,271,136,919,589,577,470,859,440,471,632,963,
545,756,386,567,231,932,586,183,718,770,107,776,288,706,497,788,668,226,987,
667,793,238,649,125,175,989,064,413,102,119,108,523,806,021,132,135,984,561,
029,670,865,554,899,924,031,298,904,455,922,171,569,802,721,951,757,990,732,
281,067,622,153,261,315,605,880,004,136,495,913,018,938,280,287,837,918,224,
843,510,477,141,973,717,093,904,583,020,237,739,768,362,033,301,145,081,047,
287,002,168,819,344,573,071,235,566,523,065,386,047,330,694,213,285,568,810,
035,520,925,214,278,398,556,135,480,317,779,361,787,568,525,465,262,818,891,
134,390,791,676,648,293,464,757,470,143,168,905,188,111,651,735,527,383,085,
930,521,860,478,426,886,983,336,851,667,990,446,772,693,108,105,223,224,418,
378,345,571,732,419,051,706,090,387,046,208,625,330,191,886,961,985,729,752,
334,411,016,230,304,296,502,759,896,411,589,370,451,627,421,511,752,985,072,
042,756,773,179,163,518,457,783,200,088,499,182,966,554,402,070,941,281,743,
363,286,154,149,343,262,560,350,369,299,670,169,489,507,617,392,924,705,168,
363,021,887,925,779,152,123,503,537,676,706,788,665,985,311,203,345,549,026,
988,782,416,045,678,061,658,586,101,845,542,711,848,075,726,648,094,227,175,
791,315,229,850,002,369,383,901,494,336,660,297,906,030,877,198,410,432,576,
941,334,209,004,241,621,090,491,385,224,798,301,556,744,875,471,993,445,612,
510,939,789,137,789,846,537,102,445,311,403,788,804,628,062,979,584,135,612,
331,210,117,505,635,835,417,748,467,581,368,127,949,388,909,031,773,214,056,
207,486,994,414,410,434,767,864,955,008,183,482,431,434,721,687,685,779,022,
460,066,134,957,174,661,710,594,609,076,363,987,333,337,987,472,705,024,229,
425,580,541,052,299,435,242,976,674,143,483,405,967,594,716,761,740,660,694,
004,394,518,884,595,063,163,305,423,381,951,679,377,194,468,886,596,014,122,
386,565,138,901,293,468,073,469,596,825,687,223,469,819,927,892,912,904,800,
819,660,003,744,789,582,287,885,322,978,200,884,546,480,603,909,193,436,110,
514,360,347,654,780,466,045,526,905,300,422,721,438,404,839,338,389,625,989,
645,190,381,067,200,107,504,786,299,747,749,471,036,014,854,630,518,460,076,
286,145,420,568,295,526,910,042,748,590,101,472,149,572,702,048,332,985,465,
265,007,367,773,773,116,963,897,215,728,756,704,647,950,577,347,305,747,364,
678,360,053,094,470,383,169,583,234,870,770,436,046,392,317,118,144,176,815,
949,256,538,427,259,555,362,562,837,938,163,413,527,235,907,582,918,666,439,
990,059,167,692,006,908,643,426,606,339,924,439,483,480,291,136,352,818,658,
081,249,059,294,258,887,243,339,260,399,379,132,734,058,320,263,751,335,534,
513,789,342,401,884,566,796,807,725,486,290,299,124,366,414,641,548,677,666,
497,368,355,413,804,245,163,580,559,119,675,311,683,038,011,139,531,554,659,
395,448,459,332,947,285,822,041,160,226,552,506,338,018,475,851,474,569,866,
098,351,744,950,321,639,532,222,376,656,140,122,722,786,712,746,202,944,793,
409,809,052,225,207,697,344,277,827,427,078,547,859,396,427,456,716,528,194,
510,658,974,162,356,566,116,523,070,566,771,436,546,755,745,920,357,424,031,
561,779,600,490,346,772,557,050,633,502,789,412,176,442,552,102,929,227,946,
846,519,975,589,713,459,519,873,909,474,774,506,919,536,782,389,467,234,864,
945,845,124,761,853,808,389,128,683,123,482,518,637,250,077,358,168,301,390,
222,084,470,039,619,290,308,031,171,575,256,321,555,288,555,649,537,770,533,
334,448,062,571,105,708,345,933,884,867,313,345,519,208,000,604,672,707,667,
525,270,630,874,595,839,704,356,747,597,959,564,441,862,221,949,018,029,800,
350,695,079,792,487,122,086,690,955,261,911,567,440,977,496,272,908,590,977,
267,336,900,022,649,050,177,418,334,061,422,997,494,797,308,753,972,252,484,
145,366,758,446,839,788,806,551,475,229,813,414,791,249,448,293,257,000,245,
778,712,365,753,939,448,462,002,059,728,065,895,150,220,926,601,130,531,334,
679,215,292,627,496,434,470,737,082,290,938,385,737,113,357,328,857,248,798,
457,680,791,545,184,061,923,395,857,709,865,685,984,940,975,590,749,185,462,
573,628,250,638,507,934,819,364,750,667,923,507,026,015,043,640,138,913,589,
965,799,703,758,493,496,853,550,097,568,870,624,697,380,638,290,081,386,383,
444,712,020,086,711,645,575,952,091,588,232,151,806,499,511,591,472,728,015,
062,624,711,823,796,590,266,981,549,752,947,017,972,022,730,677,500,604,432,
141,526,407,235,549,161,129,506,639,445,956,296,563,430,777,606,487,954,157,
593,185,724,379,966,759,243,841,533,835,281,231,565,106,869,144,372,851,092,
170,276,331,642,429,111,462,395,858,685,042,863,424,972,908,130,565,878,865,
725,005,230,643,659,558,872,960,433,157,761,889,756,611,384,656,492,493,398,
588,695,620,312,778,694,107,324,445,051,362,265,402,214,492,754,127,338,215,
345,315,277,174,032,167,685,590,224,739,249,798,115,805,274,258,524,256,721,
350,055,691,286,126,901,350,991,173,812,746,986,602,493,257,814,194,101,572,
058,400,421,539,253,106,735,155,169,656,253,823,717,504,191,360,937,114,311,
050,356,302,506,523,742,253,890,050,661,092,188,676,158,099,173,193,364,205,
222,967,913,097,904,626,604,828,890,059,579,343,763,559,778,007,203,002,862,
691,555,303,658,624,920,092,575,765,542,874,938,060,123,028,899,010,988,506,
508,970,374,108,724,557,305,370,645,276,833,923,226,236,300,681,391,307,990,
111,443,357,392,811,540,116,558,428,033,588,045,509,982,664,506,560,333,392,
353,937,722,658,656,409,951,956,400,125,416,716,242,910,407,677,181,618,850,
446,425,992,356,429,148,768,007,424,562,828,704,142,575,693,884,153,716,727,
121,945,514,888,084,696,579,665,771,920,630,120,857,319,431,608,287,750,997,
392,009,934,323,633,820,447,553,353,091,235,914,686,655,856,207,538,330,481,
252,738,970,451,142,320,425,570,027,651,522,326,428,018,252,308,583,037,775,
922,439,684,235,343,575,407,674,616,737,222,700,708,978,627,943,881,035,706,
485,783,365,524,016,407,097,682,464,529,570,068,840,774,907,237,350,398,078,
631,070,103,041,261,675,592,704,752,864,156,906,015,603,888,834,946,472,482,
310,004,488,282,691,594,912,878,041,556,670,776,394,583,925,762,486,312,699,
535,745,966,980,726,912,812,341,904,537,855,579,343,080,899,579,105,717,683,
620,969,906,288,966,971,511,892,795,345,273,870,562,040,307,984,295,263,200,
703,999,969,575,856,333,522,892,616,942,870,330,202,439,582,904,162,243,162,
529,976,828,867,495,630,788,062,902,532,881,345,579,156,550,374,307,259,534,
610,437,975,588,786,402,390,366,473,124,467,764,063,399,319,988,565,954,144,
291,008,492,687,331,155,754,863,677,017,156,899,459,725,976,528,678,747,683,
584,473,474,732,493,645,716,212,606,793,426,142,033,196,273,111,089,753,694,
045,588,577,315,615,208,153,016,600,408,294,388,020,264,635,322,993,634,244,
758,449,522,477,508,057,552,101,749,743,765,192,546,371,130,027,266,337,960,
706,849,796,646,482,510,501,118,992,755,041,564,809,873,903,453,977,651,249,
891,464,976,844,093,080,299,418,939,667,618,618,784,728,812,277,565,165,049,
152,369,457,631,983,216,440,558,546,847,815,214,027,062,242,272,591,503,488,
245,484,725,965,563,588,870,996,875,775,073,704,339,002,824,322,991,738,178,
485,259,461,386,475,487,606,435,632,221,331,440,181,079,449,437,184,555,045,
799,133,911,610,524,768,170,214,980,045,986,195,331,021,893,389,655,979,820,
274,903,353,792,662,956,689,484,917,782,658,404,027,264,226,284,816,983,533,
100,783,161,612,694,881,627,979,453,975,401,415,819,431,534,897,501,666,112,
691,644,640,503,364,761,920,799,312,238,429,304,998,621,764,364,572,489,485,
747,988,790,045,520,911,652,573,641,306,982,705,021,780,240,766,399,918,551,
376,422,677,501,086,249,042,069,879,590,436,002,105,899,254,045,392,930,684,
192,954,459,757,343,687,373,511,927,169,987,138,757,882,478,470,534,344,512,
830,267,997,669,851,112,152,572,507,199,325,615,474,118,690,930,359,225,146,
245,708,977,665,194,469,586,301,811,556,463,637,273,405,742,655,962,044,859,
644,571,780,924,753,413,471,751,274,989,988,295,920,073,563,377,758,845,315,
414,032,364,431,795,068,166,862,837,298,523,523,775,566,083,318,151,515,231,
419,210,403,748,499,697,236,745,969,553,805,997,535,965,652,999,476,534,057,
082,685,590,878,170,312,107,912,718,743,198,067,393,429,134,052,458,936,582,
537,776,173,055,437,391,975,231,082,715,047,828,891,577,891,193,985,668,802,
018,277,387,351,859,831,355,775,242,737,243,295,051,024,992,033,997,214,100,
769,162,146,297,441,723,544,814,451,165,181,482,070,862,608,303,453,519,664,
643,901,480,453,346,305,252,522,802,430,169,761,916,903,555,593,493,796,148,
540,663,914,050,636,012,026,418,704,741,034,239,259,974,606,491,788,187,397,
165,130,597,960,115,416,182,545,110,394,267,280,657,622,555,874,820,332,494,
904,177,518,119,237,969,523,812,088,929,074,830,882,527,366,482,686,978,957,
410,797,582,777,844,335,826,718,261,420,002,793,886,918,606,462,903,371,943,
802,336,921,020,267,888,693,912,304,473,675,842,331,932,745,290,105,673,222,
954,625,282,196,355,279,480,030,742,858,381,488,687,924,662,809,420,758,827,
966,637,736,338,163,312,719,705,385,456,108,830,473,211,484,752,965,424,475,
140,950,523,032,842,836,482,034,118,091,872,370,168,513,851,186,786,605,316,
518,082,038,702,093,494,168,612,136,998,517,536,474,418,094,656,648,643,122,
198,676,197,062,420,894,937,219,601,122,646,295,543,238,162,123,803,611,093,
678,931,569,680,124,403,079,125,850,153,470,106,968,884,516,528,447,971,496,
951,008,297,912,137,753,778,664,433,366,432,091,319,388,470,635,253,799,513,
077,816,889,088,543,612,491,239,364,825,313,265,734,035,356,778,971,472,431,
125,583,520,199,643,412,774,864,534,066,842,016,170,498,842,522,878,203,333,
468,097,365,071,989,025,291,361,546,499,584,523,721,753,292,362,575,045,922,
077,110,190,880,542,935,430,111,937,671,123,218,310,371,265,760,306,596,392,
529,112,344,541,086,182,918,709,301,107,745,001,571,614,993,956,174,415,455,
595,083,177,736,353,175,850,540,900,668,678,935,266,800,580,180,801,668,524,
519,988,610,802,674,470,757,607,684,766,851,826,826,368,593,222,330,323,940,
212,319,221,898,973,561,054,688,032,124,833,242,609,742,646,984,290,082,162,
491,719,549,255,067,413,466,497,823,879,519,344,211,295,831,418,321,371,560,
847,297,426,765,641,126,407,415,245,682,655,268,971,196,394,011,196,213,984,
419,206,718,217,377,298,461,295,747,582,614,835,474,000,202,276,998,814,301,
996,543,144,941,664,916,720,517,383,017,963,156,961,851,052,021,920,914,198,
715,903,115,554,776,777,239,795,085,679,457,559,528,269,541,473,515,981,692,
823,242,738,672,772,459,891,963,852,416,020,052,146,011,246,594,064,162,943,
682,545,198,704,439,552,171,860,632,557,599,679,347,352,950,490,400,875,077,
655,436,369,492,060,399,507,213,393,106,230,329,870,306,820,005,398,443,512,
112,136,957,663,740,562,937,967,044,964,595,221,433,477,677,004,733,890,500,
179,064,422,443,794,479,343,443,900,691,295,905,880,827,993,286,251,363,905,
900,909,294,773,824,680,323,850,628,099,296,546,204,114,979,073,108,141,939,
831,599,382,123,879,605,413,868,781,689,179,821,308,299,800,670,047,794,515,
468,439,699,089,733,547,698,357,684,456,905,372,392,625,770,608,395,163,338,
223,651,941,621,705,063,081,955,141,059,451,588,151,522,473,805,115,710,704,
001,401,791,406,672,997,102,880,016,049,673,538,728,224,782,873,220,424,316,
084,102,511,898,368,430,558,352,965,778,931,800,061,202,470,646,921,001,364,
908,832,707,217,701,462,059,979,383,049,795,318,581,479,505,659,168,733,316,
195,663,110,620,824,314,881,168,853,539,956,751,633,601,185,132,974,596,200,
265,079,238,750,601,459,573,212,099,009,389,793,408,201,316,947,469,738,208,
478,743,580,564,169,998,306,084,779,718,278,334,335,054,824,964,092,946,433,
302,967,774,878,886,428,560,465,237,239,139,550,804,862,797,551,811,693,227,
736,240,511,603,431,159,483,798,513,663,636,989,711,499,683,860,451,519,060,
236,644,695,137,385,777,690,988,783,448,196,301,512,258,311,173,033,370,201,
535,769,974,747,330,226,305,049,695,249,082,008,716,920,797,238,481,880,359,
067,234,795,948,925,354,005,887,853,649,041,899,858,404,932,035,014,024,236,
379,738,294,532,995,459,184,758,243,910,645,702,636,586,436,577,065,441,437,
720,691,672,408,840,303,266,268,251,452,752,401,071,867,519,840,514,529,307,
561,691,218,679,313,911,003,800,383,844,956,353,737,602,948,947,778,740,648,
432,715,460,350,618,028,938,139,730,055,733,330,306,122,262,211,378,935,294,
298,209,547,892,270,081,196,482,746,981,892,459,262,727,765,738,675,918,783,
795,282,667,393,648,060,278,794,438,674,299,323,878,013,792,619,280,820,792,
082,607,244,392,582,456,743,761,791,701,271,777,124,250,757,717,960,931,853,
068,242,404,516,813,308,431,073,033,256,489,652,896,374,104,834,444,709,984,
976,434,016,183,733,446,641,969,865,535,607,892,407,242,605,212,012,245,372,
207,307,633,568,820,040,220,378,511,652,302,603,947,388,835,632,622,670,571,
096,123,974,626,382,346,174,397,904,844,369,626,920,141,253,033,565,066,927,
132,967,335,601,380,201,776,982,366,378,883,144,545,678,600,172,249,619,872,
364,098,816,143,718,743,063,228,398,294,904,759,338,888,752,149,236,498,085,
146,257,731,931,443,346,089,629,541,306,961,277,975,708,398,943,550,597,246,
018,456,886,125,149,709,863,669,842,098,701,027,196,532,465,132,642,982,109,
914,820,751,276,371,472,943,905,783,623,488,613,162,670,842,637,801,882,761,
081,879,119,876,380,328,937,965,245,104,029,170,538,927,088,794,008,365,142,
472,988,222,078,782,007,352,827,078,875,223,977,332,738,578,861,172,778,069,
157,238,079,087,522,745,770,847,087,021,984,321,792,071,548,382,031,794,869,
289,599,958,538,664,628,717,481,433,929,442,514,595,178,862,795,360,947,144,
495,390,191,592,024,633,126,771,292,538,676,202,184,120,139,737,943,535,868,
215,597,315,685,196,986,821,865,358,164,447,766,288,859,949,195,353,954,972,
249,484,490,783,248,553,800,540,984,462,460,879,315,400,111,178,559,538,499,
999,751,531,609,728,830,195,500,444,365,960,593,318,564,923,753,141,507,087,
967,559,100,243,634,103,144,816,512,984,157,186,551,106,988,662,137,711,440,
007,496,773,037,635,937,759,002,676,515,771,911,997,365,225,361,626,166,550,
397,624,840,709,147,488,887,065,151,826,682,755,743,462,720,149,624,421,500,
044,648,762,941,289,166,177,180,505,969,155,071,916,020,058,738,775,047,753,
888,916,188,018,319,302,658,689,406,210,352,483,356,213,305,243,738,835,855,
920,267,986,757,494,823,989,297,101,021,771,348,698,018,055,325,570,932,958,
719,587,699,404,044,598,750,294,217,779,440,142,027,353,933,518,322,766,949,
684,762,978,783,857,736,146,912,600,194,107,784,599,555,339,344,901,962,536,
263,116,593,931,486,580,577,129,979,137,691,070,827,381,959,897,515,953,280,
466,636,916,924,108,857,814,943,494,137,936,239,224,792,747,272,678,629,185,
473,423,635,481,708,940,841,370,804,389,813,921,323,039,291,491,715,911,825,
987,757,589,492,096,495,458,107,085,716,767,162,852,755,046,051,736,178,212,
869,431,334,549,889,035,268,451,973,832,316,890,255,986,687,348,613,443,622,
776,157,084,883,641,081,410,450,847,763,988,857,307,569,266,095,708,336,292,
345,170,145,580,764,411,105,181,886,063,447,584,926,796,800,286,673,045,180,
738,739,238,961,147,113,545,059,065,046,341,699,174,920,778,212,458,951,667,
402,273,357,125,396,242,350,364,811,845,139,181,197,969,038,442,078,538,420,
812,847,028,376,763,882,220,974,861,432,568,869,933,302,694,469,477,818,526,
726,679,528,953,799,635,782,363,188,313,599,529,774,416,470,123,240,222,545,
138,952,331,518,217,234,306,625,264,779,474,013,423,181,670,727,618,137,457,
215,228,669,970,515,919,963,915,195,200,469,694,477,409,663,856,994,672,656,
179,592,582,399,439,516,215,339,689,777,369,666,244,374,078,481,424,249,325,
008,527,839,381,343,680,726,535,907,574,317,957,553,272,246,424,613,979,359,
628,856,001,048,273,527,779,606,469,814,430,861,966,539,680,471,970,464,879,
630,663,695,800,673,032,452,635,301,881,352,187,892,799,169,531,606,067,516,
777,940,575,038,009,378,175,633,516,883,588,872,868,459,282,164,219,676,992,
185,397,581,978,250,283,700,871,157,618,691,758,700,935,601,653,236,169,488,
460,193,400,595,235,048,332,956,329,755,908,670,796,329,110,944,251,173,252,
332,119,945,608,920,248,668,024,767,583,617,831,971,791,843,621,982,781,551,
900,242,420,894,154,594,709,688,004,526,190,192,028,957,973,447,982,360,033,
163,165,885,373,730,648,774,476,252,699,324,272,711,163,900,691,331,442,504,
764,846,512,803,169,856,980,259,652,658,203,992,438,776,933,292,141,626,586,
685,358,831,665,801,988,847,540,867,687,924,314,441,711,094,198,259,562,356,
207,356,617,071,688,198,162,672,908,063,574,491,580,007,093,682,603,849,559,
105,931,547,983,289,533,659,625,614,806,876,940,650,156,587,180,678,273,127,
809,421,264,232,915,704,218,969,710,877,595,583,615,883,669,483,152,154,397,
744,978,955,520,797,390,114,285,900,936,335,317,757,301,583,358,016,665,929,
200,904,026,818,374,825,548,277,438,849,683,995,947,303,371,111,818,965,012,
531,759,204,456,603,265,220,497,055,678,759,231,929,391,853,129,616,469,027,
803,056,954,768,470,049,895,585,465,457,078,882,457,106,375,335,239,797,768,
635,890,902,290,590,136,069,291,189,635,774,646,243,072,202,636,312,136,645,
539,140,792,209,590,248,603,399,653,773,249,171,467,295,853,321,368,612,647,
673,930,970,641,956,815,708,917,843,470,666,477,697,235,868,372,304,856,053,
339,938,106,042,598,722,511,057,435,453,795,774,765,152,697,412,708,760,337,
772,690,110,139,379,490,754,215,675,924,126,859,608,565,164,072,542,455,680,
095,681,197,910,727,330,785,503,912,234,084,653,860,760,556,135,487,766,922,
639,258,914,333,466,872,592,031,480,327,623,198,654,594,574,360,879,588,314,
963,945,215,802,286,907,094,187,377,870,118,852,834,879,635,048,848,238,751,
280,952,348,716,244,923,078,614,794,852,991,723,951,385,225,160,694,045,048,
867,431,022,101,876,776,130,977,515,436,251,786,554,149,111,835,104,902,330,
950,489,505,881,128,201,749,473,185,669,878,170,257,438,162,341,446,494,006,
805,945,099,055,163,293,940,613,827,633,229,899,759,029,737,233,890,708,689,
398,875,435,017,060,337,142,991,871,534,343,723,322,565,739,809,317,846,982,
111,793,187,668,039,877,992,479,904,811,478,995,570,668,209,757,324,592,568,
990,439,160,541,152,105,486,390,934,621,964,892,211,739,786,500,744,856,210,
646,881,598,378,069,241,156,897,149,236,350,197,070,069,489,737,015,300,673,
363,476,986,422,955,845,497,909,856,948,950,771,588,468,174,320,306,361,082,
081,459,344,369,111,530,930,373,346,392,764,372,984,697,931,473,387,557,790,
472,813,196,929,615,941,625,277,698,142,225,087,049,277,087,992,060,034,111,
521,258,197,264,306,182,536,527,473,350,838,391,792,670,521,667,351,203,891,
341,408,144,654,115,130,294,472,154,595,439,760,504,734,654,298,527,693,028,
757,881,010,874,248,512,540,611,503,479,956,782,714,206,484,909,421,231,200,
744,302,840,154,853,267,614,922,209,340,538,967,845,802,852,894,518,291,818,
402,254,428,223,348,987,938,757,883,373,333,511,297,998,626,072,116,655,860,
701,288,306,429,175,205,610,877,194,047,037,311,697,791,168,979,116,387,373,
074,006,378,817,082,091,997,150,721,035,745,075,892,485,690,188,667,133,617,
334,854,873,878,020,047,425,968,899,273,464,967,582,199,722,940,390,866,797,
744,858,269,583,812,423,318,297,657,793,357,993,957,768,701,692,827,350,278,
720,830,325,296,867,785,782,288,914,129,845,612,912,149,498,600,820,442,867,
901,104,362,600,730,795,236,940,923,294,771,608,402,153,360,173,560,433,499,
083,155,227,926,746,251,667,422,545,194,507,478,387,939,964,045,428,877,908,
900,962,430,575,375,733,051,895,984,759,491,787,819,441,139,286,467,825,613,
818,468,772,561,815,646,920,021,475,914,810,953,676,202,497,354,312,291,370,
976,055,017,800,194,287,208,159,806,053,365,281,198,992,531,295,158,994,188,
271,655,714,280,308,460,848,906,685,534,038,749,876,240,443,172,199,588,614,
371,933,620,392,212,145,070,795,025,318,940,211,572,984,413,816,162,446,415,
870,090,090,473,059,721,620,907,270,201,563,340,127,970,624,306,452,819,517,
966,668,643,581,443,180,390,539,212,598,523,863,198,358,336,347,497,100,954,
789,768,073,640,837,218,422,436,469,970,529,386,252,005,408,908,553,990,637,
082,491,383,283,821,105,742,029,020,939,255,804,317,619,127,546,909,181,660,
870,211,804,345,329,878,489,449,523,766,889,871,043,767,582,542,739,537,161,
767,668,528,354,531,778,229,498,044,735,620,790,983,955,082,338,703,419,598,
030,688,309,535,813,887,592,857,140,219,514,442,920,010,026,128,297,278,502,
907,928,060,933,414,343,879,051,498,945,995,527,110,206,503,120,251,128,341,
886,834,232,928,771,913,678,115,591,151,330,646,970,849,101,302,605,821,294,
698,632,550,144,277,208,121,513,546,000,167,560,164,084,513,754,442,184,709,
255,933,841,539,924,301,266,680,228,812,045,537,517,491,683,995,815,404,855,
443,473,609,002,774,716,343,787,473,711,072,759,152,718,896,138,693,696,392,
243,771,647,698,601,009,826,395,242,970,737,302,066,720,350,877,623,930,653,
475,031,671,000,604,943,911,491,077,696,480,557,524,295,056,050,121,428,025,
967,048,226,911,551,815,885,752,743,125,563,107,770,806,388,824,587,156,871,
940,742,888,159,300,336,637,835,388,308,099,833,292,005,333,639,353,009,852,
050,526,474,629,011,603,931,120,830,118,867,151,466,351,878,306,998,389,820,
615,556,471,708,540,608,203,322,607,564,692,642,381,823,687,872,502,780,161,
707,888,704,840,214,018,203,977,654,036,434,813,971,795,930,082,770,666,647,
884,017,768,396,973,439,745,872,676,625,452,262,098,571,015,643,464,630,287,
905,765,424,043,153,765,298,374,151,001,666,565,946,574,662,878,901,471,272,
184,165,332,399,108,945,765,271,058,122,592,856,527,301,560,258,712,745,696,
840,769,223,911,160,518,886,592,923,440,810,840,854,360,345,860,737,312,558,
037,952,809,584,809,236,453,543,381,094,222,699,844,698,408,140,103,538,089,
469,743,678,024,301,471,824,974,976,070,842,250,698,588,494,072,142,560,583,
503,254,867,967,966,982,058,126,898,095,822,877,166,590,186,505,195,745,939,
157,476,567,815,714,286,773,782,112,937,888,463,298,800,007,021,846,089,515,
113,409,389,183,577,201,660,638,082,241,914,342,748,567,618,792,268,605,354,
783,260,635,166,517,350,733,423,587,021,165,619,633,075,827,470,676,927,225,
018,043,213,501,120,895,641,023,329,987,435,806,092,610,620,301,475,037,540,
618,916,133,963,497,179,837,095,838,183,980,372,011,249,605,446,683,907,820,
088,584,403,575,977,668,075,353,333,872,913,420,816,437,429,560,233,834,292,
134,211,136,205,444,053,552,854,030,722,022,820,747,471,374,263,776,490,628,
358,581,546,906,579,826,699,147,493,052,298,099,907,854,607,326,212,832,980,
167,892,024,797,005,612,224,164,555,986,343,197,480,586,312,352,152,962,024,
368,443,712,564,316,630,299,748,903,345,406,508,515,426,413,341,138,755,127,
565,547,145,739,206,870,731,605,960,945,815,076,071,504,719,108,508,309,190,
718,355,068,155,660,901,649,255,881,716,923,126,853,347,946,545,472,465,165,
212,073,590,762,068,721,707,944,330,266,242,618,805,505,014,447,987,062,348,
241,752,951,514,674,525,973,018,026,367,225,013,117,154,258,437,750,681,870,
003,746,941,032,408,741,750,076,788,323,146,981,824,467,640,784,257,284,722,
001,885,718,422,529,477,266,054,649,116,016,088,405,780,068,014,761,501,441,
168,982,987,074,760,782,419,163,624,260,039,170,761,254,696,734,292,797,113,
687,820,066,975,086,485,086,032,071,369,327,919,124,177,666,010,058,183,310,
713,636,763,041,870,498,040,141,497,833,540,836,760,960,996,898,740,083,855,
635,064,691,865,338,184,236,802,792,981,741,544,080,973,519,500,221,938,548,
633,824,432,842,665,601,379,036,465,984,635,204,955,638,796,106,023,448,316,
406,222,213,972,277,732,412,162,623,935,755,985,751,133,302,759,859,842,700,
508,218,023,568,626,901,551,135,976,521,571,315,769,329,027,680,440,933,835,
402,670,819,704,463,923,850,336,663,208,099,135,606,536,189,273,469,244,185,
930,875,401,478,221,226,898,463,846,972,789,508,195,794,938,611,996,238,201,
237,488,740,786,044,303,811,127,536,766,769,827,536,759,244,094,225,015,178,
646,942,180,331,902,204,641,136,843,440,182,452,436,980,761,444,113,688,491,
939,189,152,128,785,329,073,839,900,983,332,578,036,879,580,886,584,552,680,
642,346,928,223,382,408,861,306,330,253,134,829,320,268,435,420,741,882,543,
167,918,887,884,038,920,306,419,994,251,658,450,272,599,921,416,383,568,281,
021,568,406,682,778,235,512,987,303,080,930,368,176,899,979,340,349,191,248,
901,317,268,434,326,556,840,146,841,050,183,059,705,337,570,380,482,401,063,
642,681,843,667,465,046,036,025,092,500,884,929,042,245,052,349,973,680,022,
003,507,804,655,270,175,385,198,375,041,459,017,062,252,811,370,917,898,670,
038,359,311,535,941,917,647,004,323,035,691,356,286,133,850,753,807,018,939,
812,067,654,407,635,605,947,905,360,792,798,785,329,345,218,502,611,067,346,
648,622,214,216,365,699,062,061,051,146,072,914,421,391,809,363,502,134,382,
831,241,161,762,155,126,524,113,002,952,313,392,249,734,967,387,738,408,232,
162,678,751,673,064,081,689,622,621,650,988,747,665,124,881,338,151,781,264,
405,491,905,980,347,261,258,216,352,125,950,498,209,827,020,264,750,469,880,
735,778,274,960,581,500,785,514,425,529,827,395,440,286,520,578,859,834,873,
537,921,377,439,074,683,013,655,742,876,775,250,849,700,881,321,852,647,896,
467,425,297,217,217,469,345,893,968,545,591,607,172,484,243,582,275,719,638,
093,169,277,905,814,793,243,022,531,265,798,662,159,582,717,961,569,496,431,
725,849,314,259,175,152,031,598,213,861,188,666,235,041,096,721,556,337,289,
377,186,109,944,205,337,725,609,602,889,809,736,734,000,985,229,724,373,274,
097,664,009,370,772,834,787,000,307,599,152,440,611,180,108,197,938,370,831,
208,641,194,655,415,972,763,738,939,614,629,917,401,633,342,461,913,701,319,
990,696,128,282,728,595,690,369,826,674,266,014,831,429,165,516,595,904,850,
518,019,097,944,050,066,953,542,911,762,428,767,236,840,579,985,327,238,829,
032,998,045,538,619,888,511,638,118,871,737,503,273,866,752,935,164,100,589,
067,084,597,290,372,625,067,343,858,976,404,448,412,974,555,736,462,909,983,
792,309,061,791,076,388,081,657,315,695,915,376,020,498,729,688,094,058,312,
680,293,430,395,337,607,657,299,093,358,511,934,916,391,813,237,595,271,164,
014,317,278,223,678,124,506,315,422,374,722,136,644,166,132,354,001,279,227,
135,346,062,345,300,605,609,990,029,392,133,117,655,138,990,425,824,375,838,
744,906,218,027,819,954,195,773,138,097,771,806,519,888,522,769,671,365,332,
083,753,145,474,456,542,065,251,504,306,406,841,231,054,223,954,536,787,271,
589,193,148,857,612,618,497,960,369,850,245,440,152,681,459,009,398,572,661,
090,799,856,616,905,293,937,351,181,433,844,534,478,503,324,112,801,949,934,
529,387,581,162,633,940,180,840,872,448,773,295,699,551,434,856,785,307,455,
800,842,661,795,458,241,878,584,822,791,950,052,717,643,848,552,501,315,142,
519,587,479,497,540,586,165,976,336,526,915,982,428,786,826,252,251,599,522,
965,824,702,674,067,259,033,300,932,868,054,304,074,502,532,890,966,868,562,
048,431,276,968,191,249,367,350,820,774,467,909,425,899,095,871,195,805,400,
689,786,211,458,603,702,217,514,855,048,745,829,431,104,029,670,135,765,229,
189,613,845,983,841,451,671,230,767,351,894,002,516,235,886,005,520,330,472,
264,775,042,904,479,425,246,434,506,254,763,044,903,398,973,204,826,681,463,
820,705,739,835,459,117,873,578,669,865,507,350,045,791,460,098,056,816,494,
887,729,176,034,909,291,184,320,208,275,587,302,184,793,864,348,143,632,821,
041,231,742,538,367,231,246,999,225,455,588,389,394,738,132,061,694,362,166,
979,676,751,121,539,431,920,076,588,585,541,491,145,006,553,451,459,066,140,
655,953,746,679,529,742,609,242,397,229,298,295,862,047,906,972,857,611,092,
292,196,083,846,753,647,428,470,072,708,729,554,755,305,481,167,734,387,394,
835,333,808,270,561,251,630,631,593,917,550,771,256,242,502,383,198,559,118,
986,786,252,353,011,585,824,846,331,001,411,654,981,016,624,017,111,902,455,
440,682,516,148,348,961,443,851,342,800,329,104,848,105,469,397,247,435,922,
748,545,547,800,510,918,940,546,681,552,885,227,340,394,013,428,480,212,589,
217,805,387,614,712,828,547,558,855,981,775,870,862,087,433,318,293,733,260,
177,798,556,967,941,554,282,041,172,313,253,918,620,135,310,168,605,372,424,
341,286,124,676,363,004,754,533,631,019,280,722,691,985,327,862,281,316,594,
218,062,649,319,137,812,509,413,750,936,128,003,704,167,168,711,928,762,865,
444,987,531,215,750,677,198,307,446,335,246,001,287,475,730,607,941,476,572,
685,023,228,427,028,720,480,691,583,301,039,850,378,466,871,407,699,021,521,
369,058,619,986,523,133,733,995,872,720,763,633,154,489,140,307,194,408,177,
369,450,621,804,964,668,390,175,289,171,077,758,147,198,737,856,108,982,675,
551,663,466,755,586,888,087,505,868,342,641,460,321,256,071,457,552,001,844,
853,751,032,262,542,280,873,643,413,920,030,143,415,687,176,208,585,567,686,
263,821,501,307,279,686,715,070,758,820,493,586,438,378,927,100,900,753,489,
634,621,255,653,587,281,984,792,444,296,275,044,084,132,441,643,397,676,758,
424,837,815,068,662,608,404,930,119,047,728,896,590,382,547,379,404,428,899,
825,147,457,323,156,315,505,684,947,891,943,767,389,568,255,176,885,858,029,
035,993,500,298,509,902,443,302,537,980,535,888,276,848,719,624,936,680,875,
106,825,444,032,008,272,692,827,038,663,519,850,566,286,396,207,434,659,999,
572,890,033,203,755,699,040,916,832,564,183,096,263,872,273,653,046,431,790,
567,912,459,260,233,159,540,843,319,655,507,520,659,001,464,606,150,314,577,
545,860,371,643,990,825,454,218,902,057,643,074,141,522,047,781,254,827,677,
400,239,198,777,265,696,697,545,097,995,654,898,316,745,952,615,631,923,046,
655,122,906,873,687,974,093,748,383,065,499,092,716,557,794,022,241,209,051,
240,586,409,632,204,566,269,760,781,092,625,818,647,079,374,073,555,661,391,
674,662,385,017,101,044,370,023,918,633,890,192,421,811,474,197,005,576,225,
717,499,730,124,980,012,794,418,335,803,759,020,256,785,246,844,536,964,330,
582,886,847,078,834,452,486,794,538,356,947,171,956,729,095,211,683,563,832,
271,272,094,496,504,975,782,511,712,225,513,871,470,589,961,268,361,158,566,
447,992,421,329,149,981,863,494,166,125,733,820,767,311,271,333,918,993,243,
027,384,159,040,758,012,659,579,411,468,048,928,556,601,133,272,523,040,390,
639,891,813,654,200,840,332,866,583,992,057,155,015,871,053,053,383,833,321,
448,709,098,181,271,574,372,586,075,460,346,644,398,440,156,084,371,178,723,
821,767,593,156,694,549,474,856,392,054,843,252,165,679,631,634,598,201,041,
919,788,052,793,497,715,059,599,996,961,508,717,010,347,728,056,701,502,686,
076,155,808,589,035,770,289,994,358,740,418,207,536,133,190,207,084,537,460,
395,448,767,394,699,301,521,823,810,494,308,159,013,173,015,819,357,086,655,
342,239,784,018,345,696,692,940,545,814,045,852,233,124,813,968,598,735,037,
033,303,340,075,531,707,868,382,948,226,173,935,579,352,819,272,465,575,544,
073,330,042,138,494,929,316,466,883,826,555,592,694,389,025,720,463,683,182,
730,834,991,725,170,260,601,053,338,513,583,723,087,431,147,698,690,741,242,
143,859,447,425,126,486,109,128,431,722,303,464,126,837,001,918,387,455,743,
548,402,822,702,190,264,682,747,324,115,086,966,747,163,422,229,341,158,517,
548,602,310,275,982,230,215,379,484,484,516,847,733,086,310,655,468,501,338,
029,896,608,208,353,574,630,122,797,728,906,271,883,516,519,423,243,426,644,
365,896,649,601,759,895,368,555,010,379,204,893,606,430,152,428,319,014,635,
588,683,191,569,951,210,046,454,322,366,645,113,663,420,036,113,299,203,687,
839,663,002,594,830,237,634,104,089,948,127,615,289,599,696,481,596,618,754,
417,922,619,653,595,407,862,405,182,959,238,029,737,623,272,801,908,384,804,
129,239,910,951,035,209,141,591,036,556,626,091,717,882,041,508,335,010,015,
921,789,305,225,039,257,648,208,352,428,325,453,769,021,393,886,603,659,349,
858,426,208,194,207,788,775,357,970,375,290,841,332,467,489,658,863,844,977,
226,216,009,543,250,396,057,003,860,502,319,991,876,030,015,226,160,032,989,
381,912,138,741,244,859,157,413,946,199,202,707,723,528,248,007,906,132,416,
059,811,531,895,086,090,429,706,413,316,690,355,762,322,612,633,316,094,275,
024,701,364,178,648,829,400,102,468,009,054,712,112,356,584,972,684,481,303,
588,772,795,034,253,891,232,645,187,846,575,574,185,690,412,921,338,370,917,
000,877,452,294,252,390,841,055,775,955,206,344,093,741,735,066,704,363,067,
738,897,250,731,845,852,333,498,085,831,067,158,020,429,300,756,483,401,876,
586,371,331,925,267,891,549,449,064,082,906,424,666,780,690,150,299,719,716,
831,714,723,526,640,408,044,812,364,251,450,549,107,821,380,550,903,087,177,
732,535,069,659,098,234,801,774,039,110,347,792,490,747,840,856,734,298,455,
363,805,284,822,870,392,956,850,192,705,023,246,554,610,478,421,757,217,800,
501,861,237,916,249,950,993,871,838,826,871,082,545,897,672,736,981,612,926,
022,645,978,793,385,382,105,599,154,934,783,645,090,250,504,508,433,286,762,
880,357,266,766,676,702,837,853,712,017,367,437,020,512,149,626,050,886,688,
795,078,429,685,547,015,757,568,143,780,102,534,741,144,248,901,906,297,348,
845,095,125,771,001,095,232,839,668,447,242,874,599,079,868,728,113,097,502,
736,346,375,906,857,678,420,528,985,997,358,276,081,223,665,119,902,326,673,
479,848,143,763,277,361,078,711,446,350,880,391,381,321,153,505,635,429,856,
523,882,834,212,224,780,734,192,336,637,845,206,226,092,935,524,023,000,865,
715,912,935,519,522,258,272,651,860,711,078,895,711,405,677,560,857,178,909,
202,676,542,819,697,466,405,112,689,590,664,475,801,313,434,298,589,431,596,
148,287,134,156,471,975,230,436,497,007,663,923,454,147,138,164,179,766,224,
311,851,327,393,300,402,742,298,546,986,133,050,359,789,994,137,263,120,627,
216,682,995,155,675,646,501,436,802,868,769,673,414,808,462,794,505,884,593,
472,432,834,882,135,570,738,764,119,323,666,847,701,477,722,477,383,479,297,
964,602,818,362,692,116,816,391,095,154,850,828,374,812,098,181,461,844,785,
580,716,402,488,425,928,557,837,983,696,375,636,761,427,231,906,739,087,637,
695,003,020,833,864,398,912,073,473,094,786,196,708,221,821,701,399,537,006,
805,089,623,889,105,603,844,236,762,629,955,948,023,625,769,372,680,341,294,
829,357,333,037,613,335,629,464,198,422,450,430,487,474,278,776,487,333,718,
277,754,625,974,330,528,166,317,563,883,509,737,252,573,359,731,579,127,299,
085,574,320,925,122,749,630,036,357,448,889,187,866,425,732,215,741,689,601,
369,704,159,522,149,952,657,224,118,092,307,221,857,769,268,285,225,069,040,
762,255,879,067,610,788,422,587,936,375,157,214,012,682,424,960,656,315,817,
035,716,330,505,503,214,799,025,925,308,328,095,685,659,349,014,700,770,239,
926,641,754,344,163,061,413,889,105,771,783,729,582,808,159,366,485,758,852,
408,214,714,173,386,392,933,019,571,117,807,404,469,731,046,612,549,854,144,
532,501,277,352,524,062,577,570,091,687,286,947,502,130,853,520,819,322,652,
671,883,561,120,447,221,430,669,273,959,277,515,703,550,465,032,400,413,230,
750,874,439,328,574,665,618,666,125,196,438,895,822,659,376,109,466,369,883,
562,437,864,192,438,086,338,006,420,678,460,112,743,416,711,946,846,044,969,
134,512,803,976,087,668,290,657,890,770,814,008,913,926,514,065,273,724,430,
069,730,946,967,531,822,104,410,175,018,091,713,447,426,986,542,621,842,432,
354,960,271,090,737,853,592,011,998,239,264,562,266,799,645,635,273,657,516,
744,257,611,892,403,082,867,586,808,220,144,298,436,252,088,364,669,995,455,
476,913,171,993,965,208,499,216,846,139,728,814,366,083,036,988,367,898,350,
851,996,651,641,412,497,841,268,385,638,854,770,451,750,026,967,437,009,873,
052,291,594,974,783,003,261,223,148,468,088,226,203,830,651,652,441,966,542,
677,688,405,421,616,695,684,332,244,992,736,776,351,603,028,747,575,020,684,
549,209,722,025,394,249,756,557,725,549,471,393,236,146,032,884,620,140,308,
548,285,718,298,062,873,047,001,921,139,237,908,592,471,085,928,592,451,496,
571,884,337,134,170,022,176,156,190,701,353,502,197,140,231,835,755,161,254,
309,187,350,366,431,741,397,011,655,652,039,035,920,779,147,678,291,922,125,
998,590,721,727,954,566,661,337,706,156,559,957,333,506,004,111,061,659,031,
106,862,471,454,431,082,061,743,681,123,081,271,339,385,396,993,534,235,573,
764,622,665,085,378,960,579,910,077,594,091,733,356,128,121,947,457,953,453,
653,002,801,666,676,358,703,266,254,424,638,701,716,909,630,991,138,105,109,
938,099,791,161,747,767,196,418,675,565,077,066,261,518,945,664,207,523,095,
759,213,984,487,592,503,727,303,068,022,484,216,261,780,946,671,850,230,975,
467,057,419,188,537,878,092,507,704,277,362,043,887,540,476,087,662,826,346,
930,856,550,744,175,871,373,498,451,549,816,640,673,318,986,619,489,266,724,
368,619,434,757,648,404,403,992,860,331,168,876,757,071,736,673,969,915,087,
999,092,931,780,027,889,502,772,904,076,604,775,800,518,423,254,331,994,854,
638,157,938,585,606,085,068,576,537,562,140,188,225,184,239,427,443,147,557,
448,521,072,310,109,459,721,157,732,458,170,993,284,800,893,764,965,172,814,
939,761,241,753,752,164,096,176,345,129,336,533,466,041,677,625,155,734,557,
559,970,570,070,168,758,580,168,064,317,115,186,099,670,311,663,461,659,663,
387,662,289,982,242,047,418,066,873,261,305,643,268,565,103,798,199,401,168,
091,869,659,471,044,347,110,300,051,282,950,776,124,085,054,432,927,461,571,
489,849,422,271,917,847,802,383,423,584,984,245,235,637,778,623,283,943,726,
814,959,117,931,646,662,174,695,908,378,509,541,773,441,318,397,222,727,797,
888,266,415,737,957,947,582,556,428,552,880,302,335,788,092,228,725,853,535,
597,453,228,767,134,350,289,707,623,958,964,518,587,245,704,197,555,411,352,
431,827,160,561,786,088,482,046,130,925,384,332,635,351,961,396,723,095,533,
375,854,621,368,495,990,580,472,773,085,439,369,888,773,532,637,514,799,234,
243,117,099,318,724,362,927,692,750,860,794,415,902,810,880,909,129,708,064,
004,874,199,372,066,505,932,174,772,967,292,207,009,858,827,801,503,686,423,
076,042,747,391,461,832,140,058,771,021,639,395,843,407,052,420,086,172,327,
399,510,232,677,898,123,647,483,533,751,427,817,503,662,167,561,230,664,565,
200,410,364,872,513,453,570,008,494,047,639,967,223,870,745,825,913,382,433,
692,079,088,785,643,234,252,735,023,330,164,992,418,427,554,475,577,455,362,
364,270,787,412,875,765,925,593,852,744,690,881,009,912,297,546,774,554,451,
078,477,681,810,161,262,341,577,653,570,753,145,307,667,680,822,623,363,365,
631,522,230,792,855,961,174,842,602,303,787,595,769,156,872,414,445,351,718,
221,328,221,413,797,687,516,575,684,274,580,125,518,090,081,976,436,546,162,
646,623,689,064,166,290,144,068,713,255,201,802,328,977,148,929,742,716,199,
647,852,775,507,486,182,744,972,157,592,545,368,304,730,837,096,257,425,504,
708,779,707,239,338,112,195,661,015,412,796,671,525,813,362,411,726,828,589,
013,122,613,289,010,231,985,567,778,177,480,440,376,516,583,873,684,167,041,
544,578,278,722,594,348,060,573,446,786,121,602,312,473,152,437,670,058,970,
834,239,426,453,243,692,274,748,187,069,316,210,998,423,472,646,499,551,226,
941,228,501,862,663,381,278,139,933,220,040,884,576,996,512,081,756,538,783,
729,011,799,967,322,949,051,508,703,346,723,763,643,372,341,853,021,731,154,
519,713,967,274,571,556,251,578,715,544,765,714,906,325,578,418,305,830,985,
209,513,647,878,160,381,625,020,870,167,010,080,030,736,901,593,504,473,403,
729,599,425,203,873,032,901,883,960,081,913,356,198,289,569,243,493,517,055,
285,065,121,853,935,415,630,110,636,176,075,800,090,583,828,670,864,648,189,
240,450,509,784,954,514,500,399,668,690,893,443,849,766,011,679,896,629,553,
323,977,131,700,809,655,635,036,447,117,822,970,614,559,743,568,655,542,625,
371,130,122,258,723,555,801,639,975,412,014,995,400,250,472,480,157,963,909,
667,131,722,323,072,387,713,597,225,253,253,400,834,773,179,934,916,982,308,
160,016,961,233,795,053,452,329,725,202,734,719,344,682,624,107,304,183,268,
748,609,872,775,770,741,760,546,738,466,939,519,518,344,994,897,563,289,950,
668,072,444,240,406,361,799,052,334,474,760,355,665,288,507,064,345,206,227,
944,448,330,228,974,172,425,976,863,635,613,520,530,471,023,677,201,606,775,
715,286,535,317,048,212,245,221,081,953,206,483,889,330,192,240,434,090,424,
565,249,661,525,269,665,952,661,724,940,657,631,958,622,981,980,041,834,915,
252,314,968,823,220,909,469,354,340,443,323,863,950,640,923,893,181,987,020,
502,791,425,919,568,687,141,341,458,881,875,118,815,900,172,230,112,505,019,
327,194,484,547,190,603,829,987,101,458,144,436,076,556,735,803,997,700,291,
433,262,204,190,595,911,190,051,752,734,755,064,470,913,630,519,907,639,782,
349,925,815,319,067,928,683,941,905,154,358,348,890,365,158,035,413,609,190,
846,960,687,220,560,892,400,609,191,479,410,969,387,810,477,307,532,148,638,
916,736,890,160,206,248,707,632,413,461,081,686,533,521,898,920,758,099,792,
976,486,599,007,970,902,429,000,933,088,140,885,321,403,084,824,004,434,474,
198,079,910,064,341,158,949,870,653,534,356,361,109,007,568,244,136,526,997,
088,913,420,094,179,912,862,841,041,933,374,395,243,432,764,570,863,263,729,
655,252,203,176,571,670,576,569,881,958,770,715,349,929,015,833,430,806,761,
986,592,033,248,058,095,675,476,654,890,248,908,754,185,084,511,076,187,959,
267,910,582,281,041,013,244,420,028,644,990,728,583,281,112,244,329,748,990,
292,486,070,808,481,774,363,993,413,827,992,838,068,457,798,429,680,531,789,
675,872,474,629,101,616,062,170,183,214,157,746,188,908,073,673,976,326,377,
914,966,168,117,320,576,039,986,444,440,226,868,284,679,743,863,377,735,821,
406,911,335,219,969,297,115,591,261,997,336,258,371,981,369,979,620,395,269,
574,606,896,551,945,643,998,988,240,994,225,976,666,880,594,626,389,952,602,
023,372,920,921,916,108,266,942,422,552,421,957,749,419,225,932,741,316,426,
795,838,670,908,354,725,818,738,231,845,034,343,899,285,609,548,342,372,427,
334,126,792,726,231,625,481,512,917,906,492,975,497,048,422,322,603,643,407,
135,947,001,316,450,505,195,228,395,240,923,925,392,537,295,457,229,058,856,
222,257,097,811,620,522,784,479,682,929,923,892,526,730,924,364,154,704,064,
418,582,384,497,240,906,950,191,728,187,334,702,781,083,804,018,050,019,596,
190,729,701,967,383,784,972,066,446,130,531,194,413,992,264,126,451,412,595,
099,798,273,413,439,909,503,229,291,772,679,886,580,868,621,609,126,134,111,
228,429,763,305,570,748,435,662,668,206,291,534,960,580,254,836,004,790,311,
787,963,905,592,385,954,255,264,916,158,590,742,352,314,322,025,513,029,365,
462,092,251,542,181,606,145,344,196,264,916,668,235,506,033,293,405,235,488,
723,083,039,077,909,799,189,834,652,062,898,120,872,894,919,312,661,758,523,
381,972,972,054,221,187,902,018,581,969,512,458,566,749,088,128,924,767,663,
439,555,260,741,919,527,051,319,480,285,479,535,555,683,636,653,934,237,071,
397,970,438,905,504,622,342,127,561,465,046,700,861,435,000,406,076,707,097,
997,182,149,858,893,056,579,932,728,412,449,057,580,617,469,044,216,230,279,
815,658,770,386,293,637,083,600,536,461,610,802,034,315,469,657,718,673,498,
780,582,855,204,817,149,635,852,230,451,511,082,905,530,939,376,125,402,465,
340,048,407,214,071,832,217,199,168,077,765,636,572,679,587,321,030,600,598,
816,924,059,479,437,960,011,792,115,233,344,396,774,025,154,843,419,614,024,
641,489,103,458,061,978,347,846,684,975,516,120,845,284,991,564,148,867,504,
719,977,463,256,891,191,853,408,885,825,386,962,529,021,971,576,067,296,131,
547,739,733,631,894,690,634,899,266,574,650,600,328,113,694,104,820,791,824,
944,541,669,026,004,389,879,673,064,785,495,296,031,022,892,317,706,982,739,
324,713,928,826,511,781,202,535,709,850,819,208,322,463,125,348,185,346,932,
165,042,814,737,823,187,793,951,552,506,620,238,098,009,693,428,343,680,366,
516,551,292,254,456,664,739,408,267,017,407,703,300,693,998,386,832,717,232,
102,812,269,423,167,430,729,719,281,121,765,325,053,930,320,450,684,153,449,
579,516,929,593,904,265,570,745,980,159,709,163,259,025,625,374,008,461,640,
328,430,382,536,968,998,728,776,913,760,559,640,405,143,477,239,969,909,286,
855,173,798,863,548,877,921,619,913,789,883,725,629,655,286,597,042,654,018,
159,924,555,581,217,663,622,142,798,415,791,785,620,249,564,824,119,271,949,
638,552,178,028,462,336,368,432,378,818,669,292,813,217,571,948,741,257,929,
045,290,674,771,057,687,363,578,848,656,636,432,644,671,673,454,460,836,899,
259,316,383,182,668,661,853,489,857,839,181,129,273,175,213,371,985,485,373,
869,982,186,037,372,495,490,530,921,688,311,364,626,941,141,475,729,355,908,
585,323,125,897,255,702,882,079,099,330,920,260,555,733,923,576,795,041,954,
570,242,776,957,805,602,931,674,510,301,677,471,759,490,919,589,144,011,841,
548,927,172,622,537,556,882,427,020,727,697,469,654,575,759,690,788,154,905,
746,845,748,686,050,803,479,570,972,221,648,872,091,302,300,899,526,870,786,
595,463,709,167,636,815,402,133,147,494,661,941,417,481,591,072,459,478,859,
756,613,444,389,639,097,364,108,855,853,147,391,791,933,972,972,954,697,371,
551,647,203,633,750,948,151,670,939,394,371,254,082,183,059,229,075,102,393,
519,542,851,408,060,261,151,781,157,067,457,806,968,427,108,833,906,305,556,
197,877,537,777,352,099,769,197,411,282,490,217,521,890,344,379,067,924,079,
644,994,016,594,962,189,675,159,304,709,270,285,654,871,078,475,673,546,527,
242,131,500,559,913,596,824,246,834,449,423,212,119,446,181,112,107,703,200,
138,486,001,909,160,762,899,545,017,444,205,158,446,381,845,435,118,817,940,
730,274,626,068,046,114,122,940,912,905,293,340,352,031,224,108,287,941,079,
838,440,887,654,478,179,032,076,727,084,184,007,159,511,479,303,892,325,969,
292,227,183,430,680,360,250,902,544,874,906,153,681,576,514,950,828,359,578,
878,566,279,860,037,270,113,652,515,876,378,002,960,569,098,872,357,773,340,
870,829,246,553,369,795,988,677,195,305,360,787,706,500,716,447,436,726,604,
400,109,455,387,161,026,555,316,684,106,469,865,221,202,378,419,865,181,078,
962,954,576,123,623,679,965,124,933,533,268,548,685,614,227,961,259,558,194,
338,464,867,568,277,418,644,133,811,045,026,437,019,751,686,959,885,462,523,
844,801,251,056,582,359,643,060,493,489,017,260,619,671,890,729,405,772,570,
809,397,333,919,545,126,172,082,915,178,631,142,993,362,595,010,159,752,253,
867,442,670,029,604,148,480,544,112,777,474,941,844,136,308,920,573,382,936,
463,201,730,980,179,554,920,558,018,882,470,601,919,259,983,519,332,254,299,
312,537,954,338,490,661,512,172,667,833,247,086,289,882,009,979,774,059,283,
107,017,587,127,572,882,977,233,761,456,795,714,906,060,479,601,712,622,264,
671,069,608,263,933,675,977,699,359,209,226,508,687,274,780,720,269,406,086,
311,308,242,555,936,201,962,155,261,481,049,165,797,407,608,511,033,752,010,
819,885,782,591,874,157,744,977,818,138,603,100,622,794,742,818,083,532,208,
320,048,499,096,118,824,500,463,051,789,323,789,531,503,955,629,909,445,527,
950,034,086,227,287,527,018,940,143,866,635,137,484,231,097,726,583,092,538,
487,395,296,293,376,880,420,633,287,240,650,221,073,759,670,448,886,339,754,
015,537,477,339,680,108,443,282,686,624,780,714,944,756,450,133,086,794,408,
100,971,317,529,860,725,046,904,282,090,064,584,826,379,969,823,280,702,788,
420,470,792,480,493,035,495,487,525,425,516,167,097,340,352,313,270,170,251,
028,138,081,205,904,850,356,197,550,631,610,628,748,114,005,226,660,187,607,
304,594,903,810,474,017,768,256,177,732,167,770,242,812,846,946,265,469,100,
142,233,765,871,922,880,168,099,302,587,563,057,388,804,606,690,416,868,583,
331,319,332,221,913,917,244,435,094,875,819,793,720,605,419,453,942,412,362,
462,284,722,737,712,261,469,964,117,386,744,384,313,787,846,204,666,800,653,
731,058,418,258,493,236,386,275,736,873,419,700,772,912,030,015,889,573,846,
866,818,948,861,199,625,832,790,241,630,051,811,021,823,434,941,072,950,287,
162,548,321,958,733,924,456,995,153,238,474,208,428,899,971,759,471,117,981,
841,499,145,309,004,072,452,005,681,140,409,810,368,614,064,715,197,276,604,
140,443,611,967,054,256,052,329,551,434,184,533,973,588,340,303,228,761,725,
626,619,096,420,353,893,152,966,310,858,261,687,518,382,994,387,600,723,955,
128,082,666,631,269,901,151,121,515,194,333,344,490,762,259,160,962,172,790,
863,426,515,128,155,334,863,955,236,012,647,081,877,439,542,771,706,465,301,
938,667,874,798,030,572,819,621,856,096,092,861,874,534,843,355,400,365,859,
327,444,864,712,285,951,004,324,776,988,991,791,912,495,925,233,194,714,642,
267,574,114,152,531,798,863,133,565,289,411,779,834,423,964,855,806,278,553,
642,431,448,790,209,585,680,276,059,151,484,525,627,356,031,675,204,099,837,
363,832,619,276,256,275,858,491,117,982,544,784,818,069,874,122,540,433,769,
777,884,131,676,276,913,268,368,890,157,092,226,394,662,102,946,525,873,798,
517,197,686,286,501,740,915,125,195,000,306,924,600,939,963,256,383,138,703,
762,043,813,921,244,828,372,736,660,570,400,041,833,944,058,047,029,960,831,
678,441,150,171,817,538,024,793,281,893,317,003,561,351,420,138,323,173,083,
151,562,776,291,394,088,602,571,397,883,034,057,684,741,979,127,979,719,831,
291,225,817,878,867,974,684,883,375,719,480,951,401,219,000,285,924,808,487,
541,485,912,778,368,869,901,884,234,696,856,662,541,109,363,850,121,688,820,
060,206,506,100,840,376,982,664,018,983,999,183,998,558,907,720,551,553,223,
967,189,850,094,348,706,628,387,192,099,762,167,660,721,839,461,692,871,148,
243,855,107,147,438,024,654,923,966,301,773,173,784,346,532,999,506,243,812,
900,991,031,371,086,704,598,926,053,548,988,508,089,704,384,583,461,830,904,
436,913,566,297,326,712,253,788,259,694,275,402,229,733,023,762,418,262,164,
638,208,842,640,489,125,552,381,777,112,297,097,030,023,030,863,668,798,777,
503,318,785,037,274,151,137,539,369,835,514,863,035,860,426,783,489,194,274,
898,649,594,844,625,170,023,829,110,298,118,099,346,157,768,580,257,923,931,
772,970,858,369,607,632,954,544,079,500,699,688,965,685,888,944,440,579,872,
515,031,826,511,058,710,859,523,466,025,525,215,299,165,010,387,171,483,632,
572,274,698,930,435,532,008,840,695,746,005,041,955,603,675,113,215,087,552,
711,613,627,906,827,411,342,282,280,467,104,293,066,780,775,783,019,865,770,
136,501,335,119,593,537,967,888,711,541,967,969,656,675,852,717,858,198,517,
456,520,312,866,968,983,587,177,218,175,405,722,303,675,273,346,231,611,143,
711,024,472,278,521,387,672,252,054,929,037,683,631,335,663,851,998,407,299,
040,356,093,798,899,076,906,499,434,145,407,864,419,018,748,865,861,001,211,
263,696,970,621,971,562,285,930,733,158,679,280,145,336,493,872,994,189,313,
635,044,989,371,619,409,225,181,312,787,084,188,749,109,462,455,297,786,148,
000,144,353,821,743,902,842,737,456,794,528,868,083,550,754,246,897,755,118,
373,839,464,118,533,287,949,823,920,808,099,654,879,498,535,943,535,143,238,
278,082,409,279,852,029,367,427,806,965,838,565,335,520,339,428,081,157,117,
256,925,215,998,903,156,039,711,459,773,752,291,925,738,566,229,981,781,697,
464,074,494,168,558,363,053,937,542,073,053,834,676,125,058,388,809,009,858,
324,043,683,640,657,226,521,000,508,694,223,331,795,276,139,594,306,427,382,
414,830,378,961,130,819,167,138,654,923,164,938,703,804,721,922,843,318,358,
594,025,151,332,842,731,254,967,238,886,069,633,256,129,268,428,699,244,391,
870,543,790,407,075,334,221,948,521,834,285,557,170,013,017,831,853,196,648,
111,191,356,307,074,283,934,624,121,179,343,087,067,585,135,732,509,866,691,
177,009,251,740,510,392,029,650,569,042,564,432,575,677,462,689,546,166,601,
394,261,719,404,993,441,012,236,667,543,674,478,244,836,110,200,766,177,768,
305,957,464,875,418,893,918,607,096,489,112,487,858,606,687,139,144,111,952,
097,322,856,106,610,789,942,489,238,218,700,642,196,920,401,983,170,532,780,
745,169,646,388,790,605,335,599,194,799,682,270,841,784,561,256,086,460,340,
865,488,319,921,099,543,682,827,148,829,441,136,570,503,480,088,468,409,986,
102,474,469,404,697,112,532,139,153,661,564,637,150,817,354,435,097,606,792,
001,697,533,022,905,693,371,368,011,725,971,549,254,199,744,903,351,152,644,
009,513,346,945,857,033,166,469,721,609,658,157,025,760,541,345,768,293,891,
576,384,803,128,550,108,339,411,091,450,635,316,638,096,909,340,917,989,639,
062,630,876,481,409,271,843,123,060,320,807,967,511,880,337,428,298,329,454,
629,434,498,531,407,912,418,200,778,936,184,013,732,878,860,881,996,471,323,
433,096,357,145,275,109,878,725,345,659,989,580,702,981,269,069,898,453,927,
039,144,075,112,347,376,501,925,070,812,399,356,770,083,169,435,003,415,529,
248,917,667,019,466,508,490,506,337,548,978,083,012,692,357,968,264,391,126,
726,366,393,223,301,871,121,512,750,669,270,083,954,181,359,224,606,171,128,
791,347,000,799,193,974,897,047,284,200,901,108,577,631,784,873,218,349,874,
411,000,382,087,158,822,769,290,784,785,659,096,275,668,872,076,422,941,013,
530,560,556,914,432,971,108,917,715,503,417,456,880,579,241,214,019,300,558,
720,486,706,344,110,517,765,067,484,811,430,984,986,867,030,380,605,562,921,
867,723,373,377,939,139,593,672,687,192,278,191,860,531,647,994,512,914,350,
366,096,334,920,233,161,773,801,199,619,837,798,590,760,213,609,242,587,032,
066,109,242,950,189,850,711,576,352,179,822,655,030,818,394,273,360,739,148,
561,988,088,717,633,307,716,395,853,608,768,545,969,518,406,288,872,829,943,
878,093,481,856,736,244,680,917,371,088,947,478,662,570,229,319,106,286,810,
490,524,663,787,719,777,153,871,234,165,564,206,806,445,815,569,776,475,513,
969,376,272,717,626,321,559,396,801,448,792,404,874,143,013,772,173,962,313,
435,872,136,396,893,224,172,073,005,474,135,832,044,223,195,214,829,692,905,
472,711,441,981,453,607,240,324,018,768,970,153,593,685,397,327,778,588,320,
417,961,432,733,290,524,659,566,487,277,157,496,867,989,606,677,604,149,239,
973,658,367,357,392,218,928,513,078,001,292,818,300,850,810,648,183,433,168,
740,879,796,183,451,769,018,109,620,745,121,142,754,327,720,333,903,351,975,
158,142,513,737,605,577,996,250,102,795,251,624,638,051,868,187,543,954,430,
123,457,302,165,825,329,287,280,072,185,676,056,939,499,483,736,017,828,824,
991,115,399,259,001,651,486,607,693,433,152,057,056,170,593,049,221,449,269,
419,946,338,700,988,467,021,872,724,191,358,976,490,379,045,846,914,170,633,
777,386,007,416,261,805,353,071,175,947,324,912,403,993,098,312,764,585,471,
096,134,262,287,171,991,982,452,887,858,981,725,879,796,316,189,449,531,772,
051,001,818,109,808,667,667,311,037,600,341,127,791,291,833,467,068,110,253,
700,338,203,499,205,043,982,743,550,522,346,958,839,209,163,674,144,697,566,
078,258,575,629,818,241,975,883,532,770,483,336,840,705,614,567,983,337,705,
884,874,691,797,896,108,027,148,119,983,794,746,929,184,518,154,441,591,770,
253,332,778,941,191,231,842,230,340,086,216,019,357,855,183,839,449,501,354,
669,455,084,205,351,060,929,883,268,259,153,055,229,267,491,386,771,963,348,
037,306,134,359,353,143,829,775,904,457,434,151,623,263,100,204,846,713,641,
914,720,070,378,610,684,064,122,605,303,292,890,365,230,785,782,605,414,248,
416,341,207,557,061,359,722,557,221,622,179,177,179,745,595,159,406,092,081,
247,943,112,137,646,951,029,539,201,531,345,146,321,676,180,133,161,130,531,
710,295,980,379,275,999,587,187,135,730,349,897,621,344,484,750,570,876,600,
763,712,078,555,437,177,407,540,402,598,947,145,161,527,340,718,286,823,946,
612,181,228,500,391,689,191,843,699,561,885,439,943,456,916,318,874,277,463,
502,805,239,759,803,543,569,980,102,564,346,752,461,587,751,085,295,615,301,
971,225,069,393,492,947,687,446,140,764,119,303,059,844,724,553,988,818,768,
404,769,333,948,852,840,894,216,493,668,701,844,831,980,745,584,344,904,227,
898,200,107,575,548,581,561,020,473,261,451,347,444,301,429,939,152,878,967,
027,143,893,763,878,942,943,103,408,833,563,616,682,374,737,874,661,802,304,
216,746,148,280,686,542,144,452,448,689,144,498,654,546,383,850,349,749,843,
061,982,309,074,428,882,314,075,302,759,011,238,168,873,490,254,292,436,928,
740,088,606,440,536,688,749,449,626,137,234,763,684,450,673,889,696,699,265,
070,705,325,331,192,803,251,894,321,458,522,085,438,562,416,927,268,964,753,
150,298,910,804,272,649,715,060,083,655,150,279,694,964,701,618,198,765,431,
194,382,757,055,753,007,294,267,115,723,227,205,351,926,203,198,107,743,783,
249,162,973,787,038,260,382,657,975,774,408,402,052,262,497,190,457,941,873,
012,314,214,081,039,635,308,269,452,939,576,190,722,171,520,842,471,696,210,
610,115,445,609,978,409,975,203,961,427,632,606,308,135,488,076,152,894,550,
594,702,275,318,856,224,451,973,056,581,745,551,267,131,354,381,063,372,937,
635,798,239,175,463,387,067,056,309,800,656,370,767,991,261,514,190,288,628,
922,757,036,056,385,154,030,033,944,036,415,060,026,280,746,400,774,329,558,
747,299,026,227,804,997,824,883,476,969,244,860,664,192,050,994,061,244,612,
974,869,641,246,760,912,394,780,268,540,041,258,280,946,033,637,260,167,671,
434,367,117,998,954,009,303,535,994,143,927,048,532,228,965,621,922,741,122,
471,901,240,271,067,749,916,975,587,962,204,595,687,150,247,569,738,917,992,
473,992,293,604,553,133,590,468,712,267,683,665,396,499,843,058,339,706,262,
157,176,085,913,274,318,835,549,708,728,101,354,469,003,049,294,959,022,077,
045,277,874,044,170,762,932,158,143,468,099,493,064,666,165,008,269,093,909,
884,482,885,497,517,850,615,597,958,564,536,931,386,375,550,789,690,624,020,
128,843,163,981,698,517,827,981,401,062,224,387,186,387,451,001,711,621,089,
132,370,971,151,474,011,036,752,105,542,500,063,141,103,994,359,228,333,326,
368,245,989,344,896,504,729,934,772,916,004,575,248,578,776,182,493,111,777,
515,361,809,986,136,339,626,508,710,770,909,020,415,462,108,408,880,148,421,
502,850,623,710,599,847,633,587,344,754,600,263,779,238,271,733,224,192,169,
257,502,254,523,543,425,744,377,015,386,310,058,675,633,849,087,938,920,320,
103,042,866,983,508,159,997,987,235,527,149,950,848,910,988,249,672,745,088,
022,920,517,912,107,480,034,050,773,840,997,392,499,476,080,940,832,520,022,
927,002,715,187,194,614,950,019,541,310,136,102,673,553,288,207,992,347,749,
899,858,693,133,737,440,592,356,509,438,906,825,116,450,716,342,800,879,566,
157,163,939,148,485,256,658,351,743,590,185,067,167,279,996,493,834,716,652,
756,394,154,671,232,546,266,920,676,099,027,581,845,604,425,388,893,643,110,
644,838,851,148,144,107,894,452,340,129,809,528,419,030,853,903,069,939,742,
079,629,183,365,721,039,613,979,070,279,650,353,880,424,444,905,109,602,548,
295,734,816,362,604,808,795,652,077,152,888,585,009,297,857,368,331,738,522,
686,488,682,366,231,747,134,865,604,936,292,870,215,813,833,398,071,403,420,
755,719,995,312,083,900,009,505,172,154,497,552,683,544,929,752,860,359,969,
292,317,301,799,610,757,490,096,010,260,247,294,474,915,365,320,373,174,823,
206,192,007,047,387,566,274,139,414,427,966,559,025,949,141,858,813,711,333,
310,537,770,538,664,748,940,377,375,706,502,980,547,284,658,580,876,972,330,
512,666,088,164,941,245,274,179,925,334,397,123,276,923,465,706,460,415,908,
658,720,044,642,260,959,228,922,790,716,035,384,278,832,258,888,792,613,349,
267,896,613,802,399,490,624,680,934,372,703,264,702,065,078,727,983,222,439,
642,677,556,826,255,996,973,516,082,515,977,399,594,026,197,973,855,693,979,
371,712,312,184,392,732,955,125,641,015,581,318,204,048,051,847,178,753,131,
496,144,085,501,858,023,829,611,582,837,155,875,216,401,464,158,875,228,946,
472,739,204,009,750,644,883,891,705,562,215,543,116,946,837,649,498,911,548,
077,150,055,411,573,528,494,922,683,766,641,417,938,852,314,158,867,114,881,
032,626,283,355,245,379,357,959,026,423,496,221,706,098,651,793,639,714,267,
723,142,162,961,021,526,478,085,105,171,197,199,924,791,829,452,616,936,651,
273,551,839,462,838,252,791,516,995,817,054,227,633,262,296,758,051,701,342,
616,458,305,655,484,253,358,907,286,394,662,989,191,245,021,110,512,174,989,
857,658,940,545,519,963,380,261,540,927,357,760,793,358,769,178,898,665,978,
443,362,737,951,693,818,464,378,972,212,090,644,765,173,094,017,139,486,174,
524,382,295,934,180,626,691,676,237,778,062,291,233,632,143,519,112,627,536,
329,077,836,217,342,594,612,134,714,446,690,921,145,534,728,550,570,834,957,
007,617,073,408,192,220,341,527,216,733,584,497,771,704,649,775,728,869,572,
441,655,327,302,022,682,684,865,921,450,221,748,542,183,263,570,023,577,513,
236,667,407,396,887,399,524,112,685,122,080,065,571,427,454,575,277,944,141,
616,964,688,724,621,816,798,208,623,598,128,726,722,907,038,998,194,706,608,
206,806,935,384,593,226,191,958,561,815,638,167,371,013,988,208,843,832,624,
875,566,023,317,321,705,576,730,079,599,330,289,547,817,010,129,018,187,595,
905,480,845,111,037,643,931,306,288,984,947,298,904,962,070,353,717,579,587,
579,054,133,449,566,291,740,382,443,334,040,183,088,292,719,344,325,434,420,
244,511,302,193,697,986,685,556,501,688,479,846,797,834,779,883,300,133,252,
161,511,982,741,345,652,686,802,136,189,183,461,391,299,539,797,751,261,627,
688,195,955,588,164,855,780,800,276,623,823,361,899,882,516,251,072,372,375,
879,264,206,094,556,217,100,998,822,031,249,656,898,581,600,358,430,787,208,
359,128,724,101,232,238,589,207,411,184,213,324,871,281,792,217,675,819,461,
010,270,697,565,545,705,710,205,289,907,197,223,705,903,827,284,091,708,721,
669,725,968,608,476,277,382,715,289,100,319,403,942,011,522,948,383,966,168,
048,340,587,676,245,277,323,870,608,307,494,690,498,560,335,441,872,176,101,
935,741,808,967,988,495,497,072,917,715,394,096,037,293,689,477,066,383,044,
022,092,093,424,571,038,814,786,239,231,477,841,401,637,098,764,216,041,026,
884,893,756,506,585,248,166,030,395,659,090,999,502,632,478,461,804,369,638,
462,120,881,322,502,495,013,342,666,193,776,340,525,828,868,611,327,877,194,
683,972,371,471,681,006,856,015,520,108,972,536,678,055,851,185,819,576,713,
122,751,551,596,316,960,573,158,141,018,048,791,073,367,255,155,251,186,746,
546,223,037,838,307,893,166,786,981,643,660,629,361,305,558,722,084,704,304,
661,092,848,102,144,629,928,111,558,782,859,703,765,796,403,083,115,914,307,
079,790,307,617,784,290,280,210,409,676,541,251,604,598,304,581,350,572,129,
729,557,269,915,297,381,622,921,124,545,292,891,692,135,540,490,090,999,436,
237,485,040,862,400,388,482,839,182,942,750,613,035,149,293,290,761,174,582,
314,176,343,809,075,762,514,341,206,334,155,049,249,784,303,838,170,271,579,
793,940,808,987,807,629,470,334,776,588,098,531,224,246,485,216,590,006,596,
420,237,265,729,965,128,414,105,200,415,707,936,018,692,556,719,492,692,153,
030,264,683,192,676,579,429,807,916,890,062,207,458,423,489,703,590,801,645,
890,100,952,531,129,069,955,714,931,458,255,454,769,138,300,580,022,080,616,
321,008,531,252,747,924,467,844,244,123,682,732,693,276,414,878,008,804,007,
983,597,027,786,301,197,319,955,829,298,371,590,071,528,611,914,023,922,556,
841,932,520,483,715,056,330,153,577,578,470,149,925,922,087,984,357,252,475,
113,999,176,797,099,924,580,345,141,525,509,325,773,583,569,853,942,983,919,
283,572,708,051,940,974,704,704,592,462,011,363,028,437,982,554,493,062,698,
486,217,607,805,836,280,523,010,239,096,739,383,278,537,256,360,061,820,545,
601,405,562,169,898,839,329,371,930,440,604,393,127,515,226,144,705,964,938,
977,631,842,374,717,739,586,159,687,124,060,171,287,280,182,210,359,282,186,
100,059,221,388,885,308,086,092,334,909,987,643,502,937,311,097,321,087,350,
462,596,124,536,058,316,583,621,445,499,628,122,389,660,589,371,447,446,755,
178,229,044,158,293,109,444,250,728,910,100,534,621,238,425,709,736,862,021,
570,282,187,393,662,711,652,844,912,184,559,719,619,450,437,791,532,249,249,
102,834,037,865,180,599,566,265,526,770,277,551,488,244,280,415,452,273,251,
007,087,011,839,596,297,094,199,707,020,088,893,510,620,237,781,894,158,347,
475,376,446,269,899,153,303,909,898,041,274,572,494,361,951,618,801,124,685,
932,724,045,010,692,079,165,133,888,508,525,593,255,553,046,421,972,713,640,
301,446,017,047,967,544,016,771,373,133,448,541,740,779,569,014,491,723,687,
972,944,451,187,042,367,603,743,049,379,898,760,906,055,392,399,503,245,362,
630,425,234,191,916,302,193,087,178,168,412,401,920,659,666,875,486,074,030,
402,805,961,875,384,025,352,674,807,448,910,361,742,520,296,583,209,234,859,
233,095,196,546,084,184,807,845,784,425,592,159,416,821,793,994,589,934,639,
669,513,357,867,809,780,658,582,430,492,514,845,674,361,347,270,849,121,913,
811,338,469,361,827,692,065,986,561,628,411,058,381,490,643,277,342,605,724,
980,015,543,393,016,368,551,613,690,233,499,643,331,707,961,279,689,827,792,
024,561,326,205,984,730,839,321,878,753,370,071,895,177,463,639,447,751,012,
912,225,191,593,204,706,292,768,629,876,233,751,132,030,792,225,123,710,916,
980,713,770,451,718,704,056,017,970,068,772,252,349,848,223,498,100,422,216,
061,540,402,808,620,287,401,765,449,644,250,025,942,023,470,979,048,460,641,
685,448,200,089,994,236,849,923,268,085,348,670,742,957,410,784,055,788,947,
299,059,837,822,375,440,844,779,141,319,706,603,485,649,730,537,934,281,633,
411,306,390,336,073,310,249,247,317,837,231,850,773,375,790,015,976,661,341,
714,477,880,775,119,829,470,166,922,240,285,601,987,810,575,842,549,163,733,
735,164,427,250,597,705,202,333,952,311,132,665,228,334,107,804,916,160,270,
148,715,151,309,202,498,623,076,845,269,488,244,000,143,020,295,970,975,937,
672,798,280,350,334,382,191,208,001,480,248,679,249,198,437,290,186,778,774,
754,747,233,836,982,391,563,082,134,569,757,881,045,735,741,137,389,638,109,
405,456,102,935,814,428,742,843,779,672,511,369,443,037,936,771,544,936,887,
152,295,188,880,115,970,473,583,504,980,431,299,129,871,005,715,329,527,125,
071,668,943,465,770,944,860,957,521,285,862,916,059,150,952,962,266,457,139,
753,696,311,131,195,166,661,334,215,486,546,332,286,115,659,300,907,572,702,
878,933,790,123,803,185,976,074,398,226,092,636,443,622,507,803,408,756,306,
946,606,766,135,017,219,318,600,071,712,128,819,768,774,522,255,504,236,931,
006,040,413,488,302,628,190,641,588,761,617,966,651,615,467,031,963,754,082,
434,236,899,070,008,965,399,681,865,798,271,007,057,658,805,527,945,551,567,
898,582,217,065,619,742,508,387,436,512,499,160,252,413,656,586,134,244,569,
192,912,084,222,449,267,833,275,105,686,535,418,673,807,943,163,378,330,874,
986,535,490,823,955,632,128,146,858,837,696,196,578,857,970,827,844,508,325,
326,826,024,862,195,350,446,238,260,088,707,598,401,113,430,405,410,532,522,
476,160,887,502,435,795,972,790,506,064,025,677,786,303,386,709,925,066,119,
039,090,060,373,123,428,976,390,332,610,802,048,064,507,075,410,431,681,252,
072,824,498,660,453,090,729,146,292,473,051,229,063,857,587,606,207,926,029,
852,616,212,159,054,360,788,225,363,108,040,660,040,205,219,779,750,763,896,
976,031,487,976,969,210,944,313,015,661,854,138,418,303,811,807,871,263,888,
979,448,100,892,200,455,701,975,787,082,448,054,925,999,492,632,954,339,856,
664,566,371,795,676,471,440,607,487,338,983,093,062,553,945,943,294,673,001,
926,240,963,832,304,629,959,851,202,960,819,712,558,491,643,948,251,409,636,
913,568,393,965,546,005,791,774,072,853,781,796,875,909,186,062,492,504,396,
827,280,171,001,843,430,152,138,566,593,792,747,231,464,283,423,520,437,993,
080,870,179,038,545,074,711,677,063,564,149,682,691,935,003,410,891,278,759,
213,180,424,111,384,757,805,714,420,592,011,311,627,572,324,403,040,032,752,
972,576,496,749,511,984,926,329,926,872,604,698,195,216,351,136,058,936,373,
620,628,075,910,190,652,304,737,924,884,655,825,807,347,919,380,464,985,598,
682,199,368,887,339,464,247,835,237,278,074,746,137,101,963,840,950,659,022,
451,965,090,708,575,575,192,003,195,095,345,390,323,809,458,680,484,002,066,
466,715,257,595,720,628,996,757,307,059,925,631,196,801,943,550,576,741,999,
519,009,866,217,148,181,377,254,239,536,567,435,855,954,836,237,919,097,689,
872,179,794,437,964,797,952,501,526,146,539,100,977,830,836,047,584,983,907,
550,805,616,376,294,774,908,924,348,181,661,489,251,411,992,527,769,414,488,
214,480,617,150,022,168,248,700,970,238,168,608,275,895,922,350,063,691,808,
853,453,506,308,425,995,067,135,845,882,796,309,263,437,209,759,863,671,590,
200,650,478,781,779,541,098,014,368,585,716,814,384,042,571,882,396,761,915,
752,733,772,279,512,959,455,786,101,391,219,685,272,040,282,490,459,459,631,
840,481,024,893,485,760,602,718,895,667,845,303,381,368,516,753,612,826,596,
741,019,948,300,351,287,878,298,518,157,340,849,948,222,675,468,068,880,401,
470,497,430,237,309,023,266,908,557,851,072,000,300,881,933,386,912,060,023,
622,446,575,851,601,640,226,227,237,731,214,033,721,343,449,842,483,694,906,
474,406,991,638,202,639,037,834,530,933,374,698,239,842,127,845,562,354,174,
151,639,836,936,778,020,928,211,493,063,677,204,969,628,324,832,205,718,949,
897,338,783,320,154,130,924,844,678,898,101,691,984,759,952,321,408,630,348,
411,256,939,443,919,953,605,972,882,737,575,897,633,586,317,460,596,984,875,
309,076,922,759,422,165,880,563,088,795,956,442,454,075,128,991,818,177,477,
236,393,767,359,302,251,135,499,446,822,378,961,586,989,769,820,603,158,813,
338,776,742,632,569,270,863,610,332,585,235,974,467,101,003,242,380,760,607,
510,321,433,195,755,389,191,572,893,908,821,924,617,568,318,126,848,578,439,
328,817,520,929,652,744,103,569,210,766,377,334,563,596,426,421,215,087,237,
601,239,113,757,208,747,810,885,459,255,704,766,980,763,490,369,219,223,783,
554,920,979,179,617,574,227,158,813,095,292,451,114,196,875,388,781,019,614,
763,244,915,199,881,059,818,915,895,785,651,321,622,943,788,661,640,646,766,
956,597,624,246,137,510,794,342,677,503,117,816,919,344,126,212,186,250,061,
771,128,401,899,029,176,905,698,234,217,865,992,204,684,642,940,960,673,351,
630,303,873,663,188,030,106,259,956,978,885,576,655,047,731,205,048,807,823,
156,627,040,637,003,906,729,072,698,133,552,608,881,896,392,315,471,187,606,
518,800,788,417,442,753,577,976,873,968,869,594,115,080,398,548,771,346,948,
175,785,678,026,829,395,635,981,117,443,106,162,962,629,953,720,794,062,570,
785,295,955,226,310,357,712,784,690,242,163,979,215,925,321,546,376,459,870,
025,301,356,413,305,503,478,173,399,000,208,651,158,134,817,992,274,739,803,
023,377,946,306,889,258,629,492,997,652,272,417,768,304,318,144,226,526,614,
661,186,269,509,212,421,923,355,183,541,536,726,964,299,325,929,858,238,375,
067,247,405,171,453,081,416,263,046,215,676,199,916,180,676,428,208,507,429,
430,259,433,123,493,486,129,148,588,205,586,614,228,606,014,662,008,312,163,
291,237,938,198,784,688,578,056,233,772,909,348,249,762,718,898,788,459,815,
228,569,201,645,035,005,974,883,141,066,264,300,874,706,108,801,839,560,448,
647,082,172,874,256,626,463,465,318,577,992,368,699,410,978,676,028,550,747,
804,033,560,827,664,167,862,163,747,685,023,299,336,113,346,489,001,963,759,
310,635,458,937,799,654,703,721,089,676,129,992,889,791,477,773,016,463,856,
677,117,965,615,227,925,469,474,583,163,585,530,020,867,568,006,778,286,454,
152,707,852,380,564,472,079,058,095,380,639,090,696,271,420,452,682,880,735,
911,734,805,961,200,325,845,805,080,173,902,394,389,597,178,971,803,450,296,
026,505,491,853,259,045,957,129,004,439,964,766,097,810,383,711,466,824,380,
099,347,879,575,620,821,824,598,676,927,396,490,566,793,266,914,834,028,019,
530,707,023,509,794,431,559,997,153,655,751,626,423,627,548,432,847,369,005,
854,700,046,353,627,410,327,571,547,009,658,584,147,055,757,414,079,452,305,
616,089,167,753,741,931,642,305,160,222,513,377,305,029,933,118,036,055,966,
377,067,912,380,205,439,864,044,585,774,953,768,366,757,140,091,599,115,846,
077,318,124,146,411,958,116,868,086,510,296,167,533,446,561,332,487,820,446,
491,797,540,154,680,919,573,858,551,268,105,742,924,411,307,821,745,584,538,
195,220,757,590,288,857,652,859,241,197,020,417,988,576,402,886,146,057,457,
862,082,850,069,632,444,625,079,067,590,159,327,198,577,771,157,093,567,633,
509,169,180,541,688,764,994,230,700,047,099,251,346,885,850,882,824,352,332,
658,173,805,198,915,564,102,368,162,390,308,235,007,758,564,031,324,398,389,
800,672,215,504,972,358,010,438,841,325,967,602,623,083,399,413,395,995,941,
298,819,031,417,260,640,723,013,981,226,371,453,044,205,924,950,144,062,062,
156,969,400,912,937,051,050,147,500,186,433,819,160,027,846,122,782,036,743,
386,677,323,468,530,577,689,188,411,774,880,568,868,323,431,962,168,571,808,
471,070,612,245,692,820,255,650,433,717,191,705,837,843,602,124,189,129,268,
087,021,548,574,088,946,611,857,601,154,269,866,950,910,563,800,504,296,768,
827,067,626,301,586,114,623,821,483,150,360,030,739,833,580,249,583,939,305,
260,812,989,254,810,476,376,434,214,591,807,798,460,483,214,724,432,514,502,
501,809,807,912,066,204,523,032,612,559,054,364,838,725,752,885,457,269,362,
965,937,938,250,269,326,690,074,879,266,464,507,173,056,775,684,262,770,811,
939,305,831,719,404,346,224,812,339,662,397,442,996,599,119,863,107,308,616,
560,394,100,651,588,398,173,901,282,780,542,980,458,830,667,728,390,403,261,
156,159,969,916,619,598,834,301,917,612,091,486,517,707,800,412,974,801,615,
346,842,221,709,331,660,826,830,788,899,231,188,351,261,382,649,627,199,056,
629,829,400,692,417,347,909,795,507,614,613,985,093,960,840,637,037,716,630,
087,023,693,861,813,745,239,252,619,062,957,879,549,696,644,096,383,881,351,
325,185,235,224,851,083,019,271,764,886,796,919,911,888,802,898,955,958,420,
598,339,367,274,071,042,237,812,654,295,210,710,694,142,569,289,404,528,232,
356,742,447,218,887,910,754,012,356,808,007,270,270,623,506,632,847,865,316,
088,147,245,007,249,026,598,461,778,333,907,708,802,571,592,197,291,980,865,
817,944,952,487,108,563,597,902,610,138,658,459,315,075,299,955,775,302,328,
600,918,377,099,222,639,463,596,945,318,262,222,623,394,306,271,464,388,261,
272,997,266,766,100,944,214,196,040,229,346,886,011,144,848,018,710,874,204,
358,806,728,624,530,158,427,188,789,824,849,654,439,980,487,907,406,940,990,
731,550,815,912,293,527,562,681,642,847,498,519,225,896,211,457,936,557,755,
235,375,228,202,368,050,759,373,394,530,250,971,339,495,697,405,261,798,776,
129,152,237,298,167,903,790,040,214,363,760,200,551,506,575,324,134,193,569,
799,680,677,804,263,572,236,510,058,470,043,536,631,737,195,168,232,061,847,
511,950,017,582,470,837,808,940,532,129,531,392,092,492,773,943,349,619,290,
983,512,271,827,454,549,620,462,716,874,644,154,910,693,300,688,118,362,768,
890,296,347,284,076,350,070,040,934,563,214,647,198,184,352,091,176,973,245,
074,940,444,725,540,123,353,353,582,249,700,982,082,605,018,068,241,470,269,
576,000,909,607,122,389,644,347,016,437,862,256,030,358,967,556,910,559,766,
610,497,043,699,645,396,018,387,837,690,982,947,019,257,452,895,639,733,150,
264,497,722,025,422,035,205,141,631,231,661,569,912,217,406,736,826,271,109,
654,576,352,182,306,433,911,155,916,044,079,371,104,776,516,083,310,999,739,
504,564,101,036,740,823,303,465,531,946,730,993,979,275,417,839,022,646,459,
869,839,690,027,875,766,262,309,428,531,414,064,179,778,518,080,294,750,729,
957,532,092,865,623,612,277,194,648,930,592,180,067,532,115,611,979,834,658,
020,332,102,902,438,220,504,991,676,336,655,589,311,535,431,275,937,385,015,
353,826,066,527,406,469,498,417,704,405,755,398,134,563,705,814,683,751,232,
734,388,110,018,964,390,524,148,356,368,440,757,777,409,827,598,225,848,250,
501,320,744,130,710,010,261,412,793,604,792,430,848,631,713,760,879,535,798,
104,618,589,085,686,601,466,938,916,642,694,203,204,269,358,380,900,326,766,
907,170,360,502,582,398,747,630,365,104,027,927,796,575,544,243,020,060,591,
996,396,634,640,785,209,024,600,984,083,895,049,707,569,429,347,973,493,244,
223,942,815,144,495,686,767,868,831,944,748,206,026,334,645,660,319,419,680,
710,190,349,495,344,263,464,727,186,903,175,315,189,107,589,722,261,326,034,
694,600,603,086,504,135,095,710,807,643,487,517,933,737,759,308,952,657,030,
297,392,675,685,500,620,444,396,119,076,951,220,625,543,277,232,381,776,999,
868,199,136,436,951,883,686,220,225,751,849,693,098,204,479,964,102,577,580,
834,765,226,346,766,092,831,592,966,161,573,488,889,944,324,287,754,091,380,
923,129,621,190,661,525,977,290,357,522,345,661,763,969,525,743,699,929,508,
950,529,647,533,377,453,599,453,449,832,378,240,855,346,601,224,835,622,945,
662,810,931,116,063,857,098,106,991,937,976,373,554,920,335,909,205,403,743,
263,795,854,274,597,463,803,882,341,116,196,418,911,487,944,642,021,198,949,
022,707,270,538,992,282,752,982,401,053,113,162,690,203,355,177,580,464,952,
530,736,786,732,378,507,588,890,476,590,380,703,423,234,854,069,568,223,264,
929,910,921,890,448,101,888,458,394,219,338,720,000,340,309,806,851,067,449,
054,689,364,814,853,836,322,998,908,183,318,993,118,421,983,137,660,510,377,
972,140,321,724,889,260,883,209,015,715,179,441,415,054,102,403,645,692,960,
209,889,351,134,918,533,662,218,434,941,594,768,020,516,373,093,218,008,489,
539,209,012,405,130,071,179,417,369,836,926,871,920,248,659,478,434,486,725,
749,530,414,844,863,981,731,276,612,563,672,587,368,949,497,847,301,603,926,
423,494,213,906,977,845,072,923,596,647,579,719,988,473,256,199,870,988,058,
913,476,584,613,920,399,521,974,550,680,268,331,503,147,621,253,366,153,749,
642,597,836,925,880,533,086,197,646,090,740,757,805,927,364,829,460,490,869,
349,528,740,907,921,033,962,471,000,935,866,116,453,092,069,145,028,935,465,
545,166,169,379,579,269,400,416,807,950,276,246,423,572,677,997,899,691,026,
029,087,535,243,755,962,411,189,606,606,138,810,235,750,341,013,085,516,818,
803,103,952,212,173,551,825,674,975,427,622,054,527,084,124,301,814,007,872,
994,095,216,392,097,778,319,610,200,989,204,716,555,043,626,300,459,226,829,
455,382,073,018,231,050,233,354,873,095,958,345,670,825,609,589,228,859,737,
231,388,964,856,196,319,502,506,534,921,493,719,030,696,799,082,796,326,707,
794,354,410,416,733,363,037,329,047,918,292,248,260,709,489,219,358,546,115,
379,824,822,048,987,952,377,796,146,849,136,637,760,843,003,563,810,458,749,
705,911,222,505,384,467,616,328,064,965,855,888,046,285,187,768,378,041,337,
262,634,509,663,548,653,861,049,278,381,697,530,749,604,224,800,065,278,938,
587,522,462,840,895,218,981,236,423,626,865,510,620,713,218,382,219,497,997,
578,647,949,927,684,134,615,684,175,871,612,596,354,837,268,716,879,884,617,
353,390,242,832,352,420,050,164,428,459,911,490,200,022,096,314,013,797,305,
834,392,427,611,834,814,208,907,276,475,892,608,591,514,590,222,527,424,223,
668,947,816,749,433,129,115,265,739,542,960,795,137,032,619,592,416,654,479,
006,331,350,210,767,786,912,062,818,653,013,282,890,093,248,285,252,878,390,
178,713,019,529,571,743,701,105,155,986,760,485,750,000,578,490,617,130,055,
094,723,274,484,375,106,512,586,478,662,138,763,221,054,954,914,451,087,926,
833,726,409,485,177,187,005,394,285,697,450,165,793,530,802,738,148,671,764,
350,804,860,445,083,123,495,485,429,373,159,550,642,763,199,278,269,826,429,
462,092,880,172,870,474,929,572,784,468,299,605,783,784,137,078,056,500,835,
746,306,445,999,236,942,161,860,908,009,457,522,225,431,619,954,492,093,285,
088,617,362,755,260,657,754,514,620,514,035,346,383,656,071,866,217,844,504,
257,130,731,269,023,361,919,791,156,790,343,233,265,402,718,929,958,612,464,
801,173,174,715,391,991,161,084,055,307,117,170,282,774,476,961,409,880,547,
424,527,523,840,640,634,115,667,663,100,003,376,007,988,255,725,973,947,992,
533,374,090,532,995,025,805,176,134,231,244,532,065,507,934,155,231,359,775,
711,112,647,104,147,237,252,653,419,386,012,057,221,492,567,800,336,243,782,
687,100,815,845,271,505,306,077,316,037,809,123,515,701,953,500,462,278,620,
826,921,242,073,614,737,322,762,287,409,119,804,344,621,385,026,772,320,562,
380,521,077,597,207,826,461,299,220,066,631,681,611,267,022,247,487,441,335,
138,004,395,621,141,533,505,776,609,842,787,394,012,407,828,114,629,822,391,
077,190,359,844,649,325,138,581,475,896,023,183,272,368,697,902,042,531,382,
222,505,979,192,521,235,580,663,663,347,134,754,592,470,873,399,028,272,670,
758,971,981,083,483,869,070,326,903,894,777,242,421,940,043,409,631,304,685,
339,003,264,794,453,634,974,904,321,191,584,512,882,149,142,449,015,493,981,
879,255,574,316,691,709,839,967,028,565,883,001,615,719,643,378,371,634,438,
882,852,815,009,796,217,498,195,364,696,109,407,692,542,337,915,137,557,159,
514,365,364,684,256,403,634,140,455,604,356,150,986,098,581,366,938,010,209,
147,599,097,917,256,443,496,074,690,071,911,360,073,486,741,058,752,370,500,
784,582,547,723,289,734,993,144,006,311,832,284,191,653,742,539,505,850,112,
777,540,025,814,642,164,492,828,602,342,752,200,294,042,695,738,714,604,272,
241,084,713,731,791,800,119,667,912,549,101,186,348,895,572,289,893,837,119,
134,869,223,107,505,597,251,376,202,950,384,073,780,218,888,497,353,316,810,
201,589,677,002,177,307,494,955,655,206,870,685,702,822,691,945,050,633,755,
539,360,588,288,604,711,866,067,412,221,681,344,899,587,664,949,731,859,330,
062,230,552,599,045,673,403,630,789,862,676,911,476,722,189,087,129,572,059,
120,799,634,422,285,905,849,207,984,867,249,729,951,785,681,346,859,126,470,
482,323,130,542,107,171,448,888,766,002,476,399,820,339,059,754,467,714,548,
192,268,219,314,864,480,297,681,295,611,697,909,226,646,449,678,091,153,366,
147,652,042,426,301,598,615,969,490,010,817,033,635,921,962,843,794,137,590,
259,796,134,920,224,756,972,450,224,259,329,974,865,894,501,820,932,593,492,
743,763,298,219,639,690,683,965,737,764,331,941,316,068,221,993,538,634,427,
872,918,125,343,682,911,797,906,832,627,493,627,846,017,815,677,463,451,814,
892,133,036,673,021,512,757,928,936,276,085,451,571,332,435,737,033,785,338,
705,816,360,109,156,546,436,927,547,314,878,922,250,218,910,750,293,817,128,
979,819,055,531,348,003,975,990,578,557,749,871,112,577,138,371,776,028,491,
568,132,014,943,308,357,718,062,042,533,332,644,733,267,060,637,667,740,738,
315,430,612,917,894,321,168,724,469,219,786,694,484,759,275,414,165,630,430,
484,996,870,864,571,925,116,362,384,471,692,061,675,777,454,587,254,629,174,
602,888,847,384,221,985,811,291,577,392,228,657,745,674,721,523,829,520,459,
219,701,409,696,813,368,033,798,711,135,767,070,063,886,907,218,604,158,554,
803,143,441,639,815,420,169,917,775,646,364,059,314,493,948,353,533,503,864,
266,568,115,812,773,260,818,560,453,691,301,667,192,349,674,584,514,362,295,
884,777,941,566,892,495,629,371,576,088,823,887,140,164,479,966,985,689,028,
694,320,798,863,930,712,474,379,427,553,383,923,066,063,353,270,007,676,191,
881,512,637,100,813,920,484,825,289,862,980,041,709,243,365,413,872,156,692,
504,778,492,238,393,256,734,462,550,115,955,657,534,607,588,201,172,745,300,
399,444,749,290,764,645,270,371,027,339,957,894,946,041,811,991,134,049,185,
157,119,898,193,744,137,625,787,716,572,009,100,500,669,261,133,816,549,604,
691,037,165,279,392,598,877,671,821,123,956,924,919,576,279,393,725,998,792,
408,918,744,126,557,668,199,796,141,939,383,458,312,882,246,291,130,291,416,
755,853,236,382,169,600,437,811,362,870,441,490,793,528,263,840,840,863,134,
535,038,074,994,662,219,793,661,492,199,770,132,149,066,609,889,369,110,745,
326,878,509,477,374,611,203,646,697,584,837,332,638,744,697,052,151,484,900,
777,050,268,758,130,915,665,469,215,315,688,336,010,925,561,456,230,803,316,
586,048,860,147,837,701,323,210,143,356,227,545,532,021,215,817,394,517,820,
961,681,861,679,695,321,035,520,412,106,568,612,606,301,569,407,293,344,375,
316,832,869,037,677,770,772,387,681,251,004,763,410,717,273,956,126,953,117,
328,567,261,256,937,066,959,290,793,471,200,879,003,901,207,284,456,427,618,
552,292,242,509,339,230,808,326,185,545,356,259,761,300,855,922,978,908,039,
042,872,500,587,957,916,814,849,218,579,959,023,955,816,270,913,545,855,499,
032,616,142,044,496,388,256,545,017,285,084,190,959,868,165,834,153,908,252,
265,173,445,281,589,739,731,149,830,802,020,022,968,162,339,443,733,270,560,
169,671,849,163,067,305,282,516,666,175,738,739,656,357,211,941,297,693,084,
857,855,538,827,213,277,516,533,871,843,006,071,412,339,690,758,199,019,666,
373,396,391,817,756,383,617,765,735,494,092,117,436,547,362,706,522,357,121,
168,732,984,998,150,828,468,262,822,026,432,143,147,763,180,884,127,638,695,
052,721,422,758,788,429,767,426,375,459,744,342,078,280,569,456,592,848,235,
624,017,912,508,706,971,942,661,664,537,050,782,010,445,154,389,201,476,683,
419,602,850,109,944,738,429,186,652,903,102,072,211,523,055,216,558,998,001,
257,752,934,948,947,916,861,051,115,845,199,635,030,319,989,033,118,948,799,
993,116,695,956,665,367,805,102,636,493,049,323,327,472,630,283,814,149,378,
589,362,035,339,486,508,481,285,413,192,682,041,678,367,540,666,821,364,065,
309,176,600,323,586,263,315,268,731,009,496,038,798,624,693,241,322,636,987,
832,136,630,902,869,650,522,353,997,413,185,570,025,082,053,423,756,016,428,
123,312,719,397,464,170,230,780,147,679,562,876,759,353,133,977,320,397,769,
632,849,923,463,300,662,566,485,028,109,443,719,746,833,897,235,444,275,595,
786,326,439,191,357,503,274,156,128,851,826,122,898,047,932,381,339,866,823,
939,155,859,726,921,937,878,507,019,139,650,887,321,741,865,248,033,674,997,
950,219,699,036,491,834,548,611,788,761,243,617,256,862,339,888,507,785,476,
838,577,498,790,193,787,991,232,095,868,101,688,401,527,120,860,646,886,167,
223,253,553,196,824,828,787,211,275,371,800,842,988,303,824,204,379,275,703,
609,109,345,217,522,281,825,611,308,322,556,369,555,507,258,018,445,401,114,
741,552,085,009,435,925,470,246,955,441,165,066,122,180,438,699,040,104,447,
468,319,079,196,794,329,078,482,235,237,687,073,025,594,633,381,310,869,896,
707,753,013,129,121,070,691,861,239,165,486,959,510,285,377,464,669,867,489,
934,766,876,610,356,113,575,252,910,535,483,969,995,774,337,726,163,583,712,
168,542,169,439,230,842,009,011,818,666,456,476,947,111,820,244,195,630,675,
083,619,472,240,537,338,229,156,728,546,124,352,263,597,045,321,041,754,196,
830,942,132,121,874,995,301,847,847,719,887,085,379,748,164,175,592,238,617,
521,083,011,886,641,194,344,584,140,905,076,544,893,479,197,762,723,891,837,
235,217,660,564,759,174,852,220,277,872,344,909,135,201,173,801,860,955,802,
435,117,466,205,592,935,620,365,708,081,175,888,972,576,717,332,215,695,764,
505,263,612,208,810,746,068,432,506,107,043,807,940,262,211,727,710,451,459,
974,256,084,764,763,272,381,679,880,943,280,883,993,900,261,520,612,144,759,
714,201,907,192,699,680,513,049,160,098,731,312,958,900,055,715,529,995,543,
282,874,708,760,603,635,972,935,552,045,791,535,763,626,656,918,122,370,685,
481,553,782,276,907,210,279,104,275,362,279,028,639,409,857,908,602,454,627,
126,944,106,945,012,305,838,909,000,216,219,086,429,507,679,412,920,763,642,
657,896,035,996,354,869,875,285,720,347,404,319,162,729,313,230,390,576,849,
621,484,579,775,736,966,394,286,842,527,976,124,207,038,258,392,879,314,693,
526,420,555,399,563,281,482,619,879,454,621,115,207,814,872,665,107,443,752,
904,173,917,740,238,422,831,559,078,624,314,551,640,434,335,190,777,566,778,
309,754,527,330,284,675,681,677,694,212,600,841,697,007,468,067,908,487,895,
481,579,204,730,966,330,528,765,365,780,270,990,767,086,344,138,422,772,347,
310,701,153,427,832,740,749,926,726,928,104,770,677,549,430,989,568,669,175,
522,573,408,177,738,759,613,861,285,389,478,371,377,179,286,124,352,360,578,
588,289,367,113,166,546,565,343,289,937,148,784,761,443,303,352,098,320,161,
026,864,701,787,808,581,686,148,750,554,908,831,454,503,186,441,461,566,490,
774,603,171,055,315,971,453,011,878,411,798,796,473,319,361,137,588,079,801,
967,738,938,249,726,960,361,281,723,659,690,222,360,586,639,917,512,443,715,
463,817,925,394,125,405,242,737,393,292,675,101,026,232,433,857,138,591,517,
822,485,478,478,259,561,073,306,189,479,381,572,904,434,215,765,204,909,053,
917,370,198,591,861,617,890,140,796,031,896,418,087,027,316,025,420,870,575,
960,253,101,280,566,463,137,778,078,092,749,303,413,919,140,344,666,037,738,
286,501,639,247,048,403,520,812,947,378,541,455,497,343,042,680,682,735,549,
786,930,049,951,886,451,872,037,987,315,461,184,486,954,241,460,841,161,335,
709,592,479,626,246,749,999,595,283,910,234,538,426,034,173,593,299,538,099,
494,675,991,095,575,139,251,946,418,658,887,614,282,284,092,670,047,877,116,
225,404,067,828,349,122,569,022,946,026,117,741,269,356,237,908,015,943,717,
933,954,666,731,667,804,059,114,873,094,056,527,489,412,899,305,859,536,020,
581,181,963,559,699,442,082,305,781,585,526,574,497,755,981,178,069,912,059,
877,021,003,421,164,509,821,261,043,061,055,726,625,783,698,982,270,271,845,
424,324,832,634,169,558,518,372,563,495,014,082,783,011,770,069,704,474,773,
006,860,593,881,802,248,017,318,809,355,905,552,547,158,300,611,080,542,618,
740,753,419,221,791,279,580,723,897,156,307,272,113,266,323,595,934,578,710,
826,234,356,026,139,705,470,264,552,363,484,888,898,524,985,121,061,768,674,
949,500,448,179,385,110,270,214,910,087,073,021,201,612,648,883,681,440,916,
787,879,324,083,146,341,264,639,647,074,074,975,248,496,384,162,302,554,189,
585,781,250,852,555,603,856,285,542,021,284,330,806,786,759,105,729,880,133,
461,249,683,522,135,082,639,654,445,399,720,978,956,460,105,020,860,187,617,
659,270,409,946,048,835,504,317,885,543,618,697,824,740,806,907,446,451,831,
623,796,461,044,184,722,743,234,335,044,671,354,100,439,456,348,737,274,154,
904,046,395,396,065,100,473,308,407,029,380,759,442,281,419,935,703,222,696,
719,218,691,877,064,253,133,163,160,219,530,783,914,697,556,382,312,881,874,
771,458,563,136,769,670,952,483,154,147,815,459,106,691,763,943,386,257,496,
368,145,994,095,643,739,961,466,049,294,900,193,720,165,262,980,984,677,089,
878,502,628,656,360,680,676,991,381,122,440,109,324,798,464,292,547,775,434,
004,893,373,685,770,260,682,787,643,558,223,922,717,009,983,364,358,884,647,
715,501,965,405,420,682,094,105,364,289,591,067,165,443,903,115,945,805,547,
503,870,235,546,271,210,558,006,282,390,264,157,032,630,259,247,334,525,091,
671,041,694,050,219,052,631,102,738,937,208,062,381,608,253,986,450,044,322,
485,790,319,901,019,219,893,072,558,454,439,217,042,255,830,766,072,142,418,
843,770,119,001,289,178,176,877,346,994,268,813,103,718,209,795,126,576,348,
642,881,347,931,742,494,950,508,157,431,630,566,116,320,423,678,473,129,511,
865,017,685,205,473,426,421,662,118,386,092,422,844,612,299,751,829,636,852,
489,075,653,460,853,059,399,775,345,128,016,046,395,358,131,994,930,644,743,
274,330,655,344,573,047,147,739,511,299,495,765,002,373,117,828,470,852,619,
230,854,632,760,383,739,457,933,508,276,809,323,641,176,879,375,585,748,449,
422,023,491,216,448,163,928,408,852,808,163,642,653,881,352,930,395,906,080,
199,561,532,568,646,032,052,725,955,466,611,463,299,088,986,954,360,644,369,
347,445,178,807,561,684,035,460,875,578,654,254,278,145,944,007,958,974,807,
544,827,394,384,296,059,877,107,482,413,792,273,257,577,177,124,618,786,124,
641,054,604,068,727,039,210,897,437,378,414,832,154,317,528,800,876,835,662,
205,295,537,240,620,518,353,016,382,355,881,562,969,505,811,828,707,321,997,
249,258,239,894,619,768,514,542,025,299,152,437,235,192,147,882,534,299,366,
122,647,213,386,695,331,709,760,765,722,779,911,198,322,873,290,657,482,153,
644,780,026,944,225,250,279,132,021,470,221,135,381,309,627,174,166,915,094,
186,302,176,218,587,803,479,370,368,340,053,793,656,149,441,772,738,225,954,
295,320,790,219,982,377,514,813,212,046,179,520,651,693,099,879,044,461,688,
964,384,504,284,094,615,077,673,313,128,612,746,670,970,948,866,012,361,949,
031,698,704,671,424,378,828,248,880,209,512,224,975,474,352,840,690,769,419,
798,118,577,286,622,687,211,486,231,536,785,509,303,794,812,736,663,806,732,
983,040,045,862,633,809,712,790,105,335,751,661,332,853,353,325,595,321,567,
137,160,052,124,094,246,894,455,624,706,070,349,399,831,158,388,735,745,181,
033,771,007,173,846,051,907,163,082,080,076,431,078,053,338,483,007,848,800,
223,712,853,583,549,456,274,054,338,512,734,933,762,043,840,329,022,906,451,
820,900,303,088,205,589,669,151,317,463,696,599,548,743,402,795,396,743,095,
035,576,308,967,373,996,541,812,579,690,766,957,725,165,247,844,046,846,190,
624,646,065,176,236,085,257,820,184,386,764,734,814,488,386,777,348,286,105,
514,869,228,650,846,362,689,625,023,341,811,668,190,073,630,398,765,528,403,
822,959,749,964,357,328,960,670,811,583,556,689,747,505,277,099,357,838,190,
758,628,521,377,891,923,647,358,638,437,542,218,606,514,381,647,597,442,222,
583,184,436,020,126,587,469,742,988,720,428,928,649,692,339,735,521,454,702,
234,742,428,377,152,318,248,687,162,195,238,421,284,745,874,170,601,589,808,
464,886,738,562,836,879,324,056,072,651,731,304,189,088,233,445,455,888,177,
011,416,020,462,219,075,261,435,572,470,348,791,124,186,892,051,655,690,017,
474,399,509,709,183,485,765,866,662,893,398,224,501,650,839,859,460,153,694,
441,421,750,736,828,948,946,761,333,486,738,210,708,908,083,622,726,434,752,
729,222,975,604,043,654,526,517,957,139,159,504,867,958,970,648,709,368,306,
051,033,320,611,555,571,017,198,947,821,927,794,611,234,720,820,275,685,843,
489,294,835,325,754,557,005,435,434,840,973,085,734,077,585,669,662,570,668,
675,845,728,698,476,457,554,134,080,115,874,809,303,478,916,155,429,666,734,
171,769,534,245,362,969,414,844,439,398,301,451,534,886,330,969,192,544,634,
510,657,387,905,674,352,385,481,800,619,257,433,492,492,796,061,148,899,300,
543,663,950,041,672,912,224,351,132,928,288,285,927,190,192,690,139,283,868,
977,875,575,037,164,651,626,576,279,629,249,575,386,591,824,248,565,211,450,
614,990,453,852,042,761,332,333,996,131,385,260,555,283,890,144,568,993,387,
095,985,777,564,540,264,609,509,460,631,750,207,980,275,259,765,248,532,744,
541,331,632,441,455,089,546,284,148,191,983,500,097,316,992,345,225,403,074,
903,839,695,059,185,994,180,235,094,966,847,680,401,269,305,947,444,652,625,
741,460,414,512,787,385,992,113,462,236,491,710,804,203,763,963,419,248,396,
611,993,086,752,754,404,499,235,338,391,805,010,773,624,634,801,352,925,042,
763,323,303,430,280,363,510,877,559,761,904,373,768,457,125,258,368,938,231,
517,822,462,118,060,698,422,811,905,094,540,991,301,092,392,252,911,873,763,
259,560,444,925,130,925,584,827,634,878,669,680,659,217,626,077,343,784,556,
998,646,723,224,381,242,613,087,981,781,704,225,817,299,522,314,244,892,486,
697,552,890,527,286,495,967,749,840,734,454,993,573,227,726,757,325,701,270,
195,925,655,383,578,007,688,596,669,612,130,379,024,672,970,359,101,789,590,
219,917,057,494,240,085,588,065,486,860,770,860,310,259,196,099,343,410,403,
760,768,212,849,939,494,655,659,673,743,311,190,634,187,315,126,509,464,308,
866,213,214,859,434,701,499,915,647,132,398,222,931,424,727,793,867,042,151,
164,225,336,486,005,785,266,693,166,335,646,203,593,443,861,617,174,240,046,
356,448,161,599,734,245,244,789,642,831,677,219,992,068,247,277,441,744,117,
498,016,042,288,260,765,648,295,965,189,856,184,911,612,075,944,219,111,804,
840,782,676,381,307,233,009,403,203,927,836,192,568,824,044,883,160,218,275,
051,637,757,887,687,838,654,622,104,989,075,867,959,509,174,279,327,255,528,
081,893,632,826,262,851,146,488,490,823,267,708,371,733,686,950,670,536,650,
859,046,104,506,984,713,640,637,196,931,324,979,162,757,403,006,120,514,534,
067,424,682,698,026,326,289,043,881,929,308,765,814,400,595,791,054,248,314,
336,609,752,558,220,502,839,630,566,028,432,148,496,262,237,663,638,714,312,
255,055,478,650,463,450,741,326,990,441,098,171,996,670,739,113,487,826,675,
806,586,155,679,672,204,796,052,367,051,481,732,135,851,458,242,374,422,752,
139,419,199,174,675,731,080,650,221,287,338,714,151,098,042,376,354,473,118,
110,583,469,386,551,983,944,638,248,930,477,145,521,052,410,867,728,860,346,
721,156,874,820,107,507,222,590,578,047,302,290,354,306,171,492,139,571,158,
729,188,770,719,268,952,712,066,426,333,784,137,595,270,353,067,904,985,388,
644,678,337,649,485,387,768,199,437,764,398,034,775,729,200,693,535,391,616,
819,425,949,164,584,798,600,946,760,505,374,371,769,690,338,306,391,643,191,
954,820,244,574,594,082,849,352,901,607,651,212,535,969,566,142,213,127,908,
874,884,466,185,434,893,116,332,747,291,788,132,262,790,709,427,393,672,061,
284,816,225,885,614,939,016,090,552,953,622,789,712,088,966,302,074,730,914,
891,882,313,068,288,585,293,511,661,542,176,923,535,486,611,025,280,359,791,
576,355,061,434,589,756,899,900,588,702,204,731,797,353,214,410,639,120,276,
961,501,051,960,771,834,749,523,850,656,218,484,665,547,385,931,535,112,420,
014,660,462,230,618,648,916,100,945,097,874,771,701,254,514,172,287,098,437,
565,911,665,175,876,319,550,778,417,844,368,664,412,281,780,114,897,372,475,
683,534,656,150,467,194,092,989,461,909,103,590,431,764,050,805,853,495,340,
187,035,318,509,562,675,975,611,308,231,809,103,646,628,105,100,284,582,663,
170,941,589,298,650,999,143,427,212,184,830,496,732,734,723,981,065,399,807,
855,655,729,121,219,493,307,115,789,733,678,657,329,461,762,868,775,345,455,
959,444,298,080,423,250,756,314,381,298,491,426,473,605,483,327,378,928,672,
565,747,231,873,490,030,000,916,183,325,393,490,049,903,397,604,961,604,705,
479,441,363,797,179,251,345,680,839,661,760,356,040,334,579,631,594,732,252,
368,027,382,014,351,780,449,046,074,615,878,254,498,709,908,043,003,952,541,
504,043,593,992,321,239,516,455,029,867,798,096,142,069,794,076,820,766,991,
183,637,660,478,403,995,188,610,616,626,164,271,240,136,811,408,885,765,823,
501,603,672,173,029,177,254,741,318,999,023,138,772,510,000,184,020,492,532,
531,534,599,748,350,317,122,888,425,422,898,306,416,967,898,846,686,151,173,
393,566,349,829,768,634,037,402,753,979,055,285,297,394,842,816,080,173,690,
499,420,809,306,044,509,461,874,093,936,300,248,954,801,348,751,019,303,475,
546,355,634,488,841,059,967,083,251,670,844,266,750,965,333,429,702,126,358,
951,828,260,007,474,789,853,020,795,702,458,327,723,879,622,702,719,176,372,
255,708,964,313,816,819,249,392,610,073,254,144,175,904,904,835,761,473,172,
420,546,752,170,706,182,311,604,913,192,198,570,506,726,980,717,443,927,386,
384,443,548,635,863,352,001,019,382,527,107,133,665,871,039,809,525,045,524,
718,435,386,247,263,311,104,846,413,537,142,412,780,707,944,317,961,355,279,
933,172,993,734,481,984,840,588,348,012,500,575,966,439,154,827,353,366,347,
940,129,016,640,548,166,041,135,349,543,847,464,537,760,432,483,521,900,519,
387,367,464,918,803,788,021,082,865,431,659,122,349,694,137,083,745,039,088,
886,058,410,615,311,192,303,388,562,855,895,636,243,310,035,221,475,949,952,
263,788,063,282,520,199,726,866,865,094,578,735,398,686,370,166,178,380,860,
535,700,636,334,103,520,676,808,843,243,887,405,093,831,491,186,527,109,615,
287,452,107,483,300,924,073,072,893,641,412,167,509,654,560,094,643,931,785,
097,935,572,061,159,121,241,183,952,001,762,679,945,704,715,435,505,032,964,
270,129,085,772,128,668,871,816,276,362,738,089,218,669,761,123,854,304,580,
867,060,293,147,604,785,581,419,158,576,668,869,816,036,655,284,654,138,646,
320,777,018,604,742,426,998,441,405,022,768,675,326,670,189,401,429,866,735,
757,759,049,720,106,519,666,479,981,107,864,644,927,137,716,368,032,390,598,
565,696,539,106,701,447,782,897,168,530,449,129,641,853,953,991,920,846,046,
537,202,108,250,763,970,088,253,113,285,281,102,526,494,451,786,030,890,308,
777,872,579,354,964,176,169,448,868,665,457,871,501,848,098,175,962,474,371,
699,327,552,663,673,313,947,617,547,930,053,055,370,725,444,157,267,625,235,
244,637,218,021,255,838,864,467,634,207,169,793,253,841,826,533,348,158,282,
705,936,530,601,515,626,420,444,543,580,082,238,317,534,206,291,210,807,011,
081,598,690,868,800,320,810,017,006,804,625,759,671,229,273,296,397,901,921,
819,860,405,466,850,106,436,958,172,189,316,902,081,184,561,567,434,914,412,
122,836,994,062,853,339,999,596,200,473,519,487,452,491,605,365,120,642,174,
629,539,407,855,827,895,404,966,464,701,994,346,740,708,957,618,384,209,953,
499,293,274,411,557,925,061,459,352,603,108,181,038,978,596,606,425,677,223,
503,128,026,950,889,850,155,983,665,129,912,414,436,224,224,382,190,271,023,
709,504,121,120,922,627,341,198,748,484,730,811,740,670,512,209,559,603,858,
722,240,001,648,501,308,874,382,099,198,489,210,550,329,408,901,807,041,078,
526,364,443,172,395,207,005,991,260,277,125,799,023,274,322,404,305,866,973,
286,172,478,590,813,050,691,723,995,072,200,374,048,310,921,389,071,625,403,
513,702,351,167,179,175,627,249,657,152,024,291,046,178,679,883,715,900,281,
848,620,898,465,389,797,014,631,980,253,303,835,710,325,978,882,613,736,892,
739,292,729,474,794,306,724,034,343,676,621,286,920,606,966,311,875,922,828,
083,127,761,791,017,937,296,298,278,428,887,029,586,276,301,511,263,998,090,
954,876,911,821,961,672,865,903,840,326,791,400,308,453,165,548,918,993,861,
111,177,550,884,117,324,596,738,152,566,634,623,335,192,251,564,413,879,367,
174,384,390,190,954,753,146,451,045,377,270,087,966,085,558,164,088,760,168,
952,176,509,366,868,843,998,389,064,811,124,270,837,977,326,633,194,718,010,
634,720,443,300,989,152,982,126,816,223,489,321,851,796,475,262,139,107,739,
858,446,575,705,194,831,406,133,739,627,766,564,711,091,226,473,151,723,581,
353,050,808,304,063,714,969,513,951,871,880,505,079,743,215,888,167,323,448,
675,377,829,445,501,444,226,080,214,305,649,884,505,158,687,264,011,664,053,
193,015,753,639,150,232,683,881,130,275,387,092,791,986,018,638,638,203,815,
063,016,278,211,210,706,170,097,431,856,074,111,390,454,915,053,854,462,489,
734,263,277,370,195,160,834,957,960,137,968,686,578,289,500,954,829,833,939,
419,653,001,656,546,385,118,726,321,707,761,269,185,391,908,926,725,390,169,
805,472,954,195,165,780,236,527,692,044,509,955,306,629,790,175,408,607,274,
048,806,914,208,148,975,707,524,817,385,243,213,029,198,864,170,740,416,559,
688,819,250,825,183,447,166,710,188,093,178,322,201,019,033,906,511,241,505,
412,342,613,906,068,158,102,330,312,202,404,937,525,290,813,575,547,883,986,
403,856,519,928,143,504,065,683,667,043,240,716,530,183,096,238,636,953,369,
320,633,874,550,481,471,410,530,383,092,696,882,804,486,148,005,842,404,440,
776,500,872,680,449,135,395,635,381,468,548,390,636,665,214,955,610,291,763,
583,862,667,854,317,064,134,252,846,007,690,199,084,939,781,028,819,052,329,
457,268,851,521,123,748,535,633,060,821,213,115,667,309,720,784,743,898,017,
556,820,588,043,979,020,360,236,964,955,376,446,743,007,820,039,754,006,060,
066,966,876,651,584,089,307,649,881,191,177,409,510,305,529,598,287,049,161,
455,053,832,413,804,869,069,917,933,908,473,512,253,735,900,151,809,422,171,
580,523,516,290,563,846,722,403,290,147,713,835,162,650,091,526,197,738,158,
304,050,510,224,568,131,626,645,650,950,085,221,905,291,740,428,972,820,548,
391,803,072,251,186,246,433,242,801,225,049,411,111,012,379,838,573,468,808,
088,521,770,848,101,387,727,856,892,774,345,051,589,074,346,656,386,217,922,
089,861,509,946,239,459,895,769,913,509,104,046,647,724,233,223,557,616,111,
226,834,030,398,376,507,035,137,559,656,567,065,910,703,118,647,987,413,636,
208,941,727,594,255,449,862,526,631,424,650,552,691,235,017,252,941,814,550,
209,674,135,299,258,080,018,403,504,435,707,610,747,960,290,681,943,066,418,
352,752,776,759,194,160,902,707,094,473,564,740,215,763,175,579,267,514,100,
518,888,064,013,438,608,503,723,950,898,376,780,630,184,252,865,908,830,602,
485,682,981,196,871,529,660,285,805,145,828,616,173,616,594,910,716,952,150,
415,223,030,642,503,946,363,361,822,156,705,347,287,429,821,619,322,605,561,
877,788,831,328,953,082,881,760,563,133,963,561,938,188,174,258,560,381,441,
727,009,582,793,966,168,329,489,465,954,778,759,119,477,924,910,561,683,273,
530,551,302,580,329,953,909,961,281,509,579,225,716,712,938,318,160,664,751,
345,320,914,279,431,514,555,142,262,125,222,607,996,226,724,133,933,416,028,
681,369,693,688,312,928,315,698,023,568,053,827,423,456,921,548,063,023,952,
716,706,487,352,645,773,158,571,422,869,950,333,978,334,432,979,722,934,623,
577,472,196,608,040,526,893,024,979,321,315,347,611,867,249,281,961,531,450,
433,540,002,866,331,031,362,802,505,519,519,322,146,357,443,337,621,761,117,
646,303,060,028,236,955,605,745,259,005,254,181,280,187,299,286,137,318,261,
725,467,739,097,407,369,124,673,554,129,879,642,831,662,850,373,183,386,963,
376,276,335,816,834,222,780,157,202,689,456,785,432,932,475,708,133,410,249,
693,299,986,522,733,657,022,968,876,801,581,122,937,468,045,133,589,508,884,
300,615,816,097,051,912,684,117,265,758,055,035,849,820,305,373,625,780,912,
404,058,783,876,061,790,915,338,053,447,742,228,758,513,501,175,371,688,307,
796,808,650,225,409,442,265,459,785,362,432,050,969,483,292,216,896,018,349,
497,331,014,368,064,236,881,659,878,428,770,581,382,745,308,650,250,541,868,
106,683,172,573,137,720,568,213,454,520,291,920,865,132,742,448,196,429,044,
965,903,786,115,300,800,008,867,496,706,351,829,272,774,778,314,699,469,107,
339,838,764,571,735,806,451,007,122,228,869,086,344,122,170,012,954,228,080,
764,415,950,631,997,195,424,178,930,136,416,877,909,308,893,664,182,839,750,
980,969,680,676,448,235,947,201,945,176,773,619,661,495,298,263,940,516,564,
731,202,466,681,335,350,226,188,638,839,015,197,255,757,564,154,227,007,522,
589,026,585,306,613,214,040,750,693,737,624,360,785,910,112,941,780,421,444,
180,075,516,698,986,432,631,931,227,581,871,141,850,884,777,020,254,638,571,
293,659,202,278,401,025,456,826,988,704,430,922,582,325,662,304,471,173,484,
430,827,672,827,590,093,291,180,707,278,814,624,385,556,450,369,571,958,543,
146,200,501,313,359,445,292,036,733,009,958,881,528,957,397,147,117,775,830,
290,994,945,777,379,479,844,212,316,309,442,233,665,182,696,635,628,220,031,
042,497,783,016,691,576,658,218,334,130,540,112,569,775,202,581,619,063,059,
536,534,170,326,121,448,093,386,920,608,152,812,570,213,865,490,233,996,926,
441,706,343,573,526,149,912,352,361,866,350,065,552,701,641,823,816,982,308,
676,155,178,363,872,085,990,043,878,823,434,500,221,642,011,829,881,249,908,
864,485,931,220,056,128,951,555,458,698,545,052,225,623,394,478,133,019,850,
823,749,941,122,054,679,862,929,624,254,835,687,424,081,579,693,534,036,189,
584,626,745,231,830,518,853,342,786,018,981,908,959,487,007,787,011,741,682,
183,267,824,942,225,467,088,516,054,746,201,902,175,232,894,075,555,512,017,
788,886,680,747,447,225,213,787,785,143,141,820,490,832,843,334,016,413,333,
257,983,287,982,745,685,993,298,369,016,485,242,096,144,558,223,459,858,130,
941,428,897,672,550,984,121,565,628,238,792,177,943,167,936,598,269,990,403,
619,388,571,888,761,425,369,724,587,779,390,826,741,262,741,937,292,637,681,
663,387,209,583,715,358,105,151,656,197,128,406,646,860,262,296,641,640,633,
166,081,706,953,005,951,304,484,048,890,876,745,428,240,214,029,398,209,332,
616,552,348,081,415,902,036,920,607,891,867,523,418,775,544,055,150,563,216,
738,595,003,619,807,753,253,045,205,374,042,228,911,391,639,447,345,582,234,
779,504,090,815,868,116,774,857,233,575,936,491,300,806,910,588,502,870,244,
151,751,756,846,411,690,601,391,063,678,493,667,891,843,293,186,384,072,017,
271,634,807,105,862,706,003,973,340,204,567,500,684,899,178,427,059,767,079,
573,607,427,276,596,676,690,994,660,201,361,561,968,798,022,613,748,465,026,
371,378,222,553,376,576,500,964,270,114,534,567,145,102,830,336,291,714,376,
549,962,041,221,625,881,061,615,261,819,960,888,068,595,249,194,824,217,605,
775,305,636,116,667,957,843,508,993,421,391,029,238,201,342,595,159,928,488,
863,394,389,650,278,882,381,200,716,359,956,435,652,725,707,907,599,160,239,
298,828,542,093,188,950,054,475,882,406,424,853,792,196,550,770,563,207,509,
892,423,046,196,979,334,716,012,709,121,612,334,164,910,234,917,066,320,358,
183,049,750,022,855,575,645,709,286,062,664,274,877,687,259,143,846,586,817,
835,039,606,508,080,153,680,320,239,476,947,753,046,821,081,904,695,470,799,
772,954,456,705,413,563,941,143,078,942,018,302,660,944,344,694,914,158,068,
131,166,849,863,416,204,355,081,032,560,977,656,559,813,111,399,850,712,313,
263,266,091,057,037,539,833,071,200,794,094,412,821,523,228,028,757,671,495,
168,126,355,942,377,430,598,563,372,281,191,599,855,346,576,329,742,301,589,
313,123,403,685,778,637,491,338,895,835,656,534,333,779,055,781,149,260,236,
588,230,564,025,767,212,560,609,542,624,256,742,043,778,143,375,044,840,496,
630,656,018,421,518,500,584,928,670,107,224,294,628,978,950,930,884,941,402,
988,853,005,447,047,999,201,939,341,218,421,435,851,420,695,904,656,420,729,
401,305,944,376,858,733,068,914,049,830,126,886,247,489,660,461,122,996,297,
629,760,915,673,604,958,076,213,724,324,724,894,253,119,550,762,806,188,283,
118,775,500,829,734,729,202,998,196,970,164,501,520,987,586,212,783,186,180,
404,181,470,169,838,140,636,258,084,884,640,440,496,007,985,171,812,373,694,
671,185,362,339,818,804,018,594,407,518,528,214,116,092,999,990,941,246,188,
302,566,162,167,407,668,755,786,208,160,741,013,793,684,508,884,645,355,026,
554,904,579,682,061,369,604,209,667,765,690,926,429,862,633,146,821,087,153,
716,282,280,657,219,967,282,741,750,205,429,228,900,699,752,332,839,630,336,
318,111,311,024,577,620,963,699,500,070,688,138,915,129,529,024,813,925,457,
652,736,973,305,939,147,962,930,288,045,339,052,493,675,801,162,252,089,505,
665,800,165,872,470,361,066,488,792,838,913,561,913,762,601,450,057,590,734,
097,505,306,487,417,785,772,839,072,695,604,141,064,009,454,789,919,337,955,
281,639,770,167,063,141,239,785,105,524,071,455,999,877,326,664,719,425,844,
376,919,465,184,188,526,388,299,080,990,511,746,832,186,572,699,331,262,144,
081,315,369,739,002,749,990,545,602,695,293,030,105,102,052,847,617,003,316,
487,200,124,807,698,001,992,868,847,277,677,499,258,903,318,843,205,126,293,
188,396,261,182,508,986,207,512,179,008,739,015,247,744,707,766,934,751,890,
379,481,050,824,556,163,346,547,891,816,781,178,415,654,271,092,636,959,553,
191,316,891,316,761,867,890,190,675,293,191,808,909,458,419,507,857,087,564,
279,072,300,202,597,405,644,108,996,196,972,745,318,780,984,177,893,885,323,
177,844,962,399,423,834,816,638,294,384,402,953,983,503,774,269,381,729,551,
405,410,944,123,807,771,177,994,247,977,959,495,888,419,022,952,788,266,645,
262,582,560,585,677,263,232,716,373,147,122,986,388,667,120,019,464,236,566,
130,556,654,250,425,098,877,207,688,652,587,768,553,085,592,598,586,624,907,
553,561,137,771,937,520,486,212,378,004,504,271,709,853,683,616,827,301,092,
565,176,057,395,552,798,631,340,043,116,272,070,893,545,834,176,208,972,868,
681,722,552,475,207,328,081,851,453,190,619,808,023,452,320,769,947,297,948,
755,383,383,143,906,154,241,519,944,863,548,347,220,321,988,101,451,644,953,
907,824,302,009,333,901,646,492,994,239,729,885,308,877,256,853,217,204,289,
184,223,750,013,842,023,760,276,289,350,151,969,404,931,284,798,149,916,238,
645,845,961,223,992,508,134,514,870,854,255,083,514,830,267,667,993,867,601,
193,356,853,441,122,673,883,452,093,900,188,372,924,650,351,371,833,843,683,
870,959,647,294,345,544,274,814,561,368,570,537,582,424,275,784,469,527,428,
462,626,429,024,861,041,052,310,333,612,840,174,189,887,017,930,673,919,139,
462,540,150,020,657,659,445,063,280,316,619,671,523,377,542,139,338,708,430,
863,578,671,736,801,498,741,462,503,309,441,980,488,420,397,483,388,425,326,
476,126,317,361,625,417,618,131,479,089,061,398,379,030,393,762,591,927,452,
530,964,474,450,273,540,145,373,320,621,887,020,945,081,575,559,302,084,188,
139,672,054,408,918,891,373,962,284,526,044,935,906,488,679,831,474,240,707,
249,772,070,979,002,344,773,345,639,728,754,220,091,936,686,202,118,316,366,
592,367,283,812,429,612,985,101,714,231,229,630,758,625,899,298,383,783,492,
712,983,331,715,324,886,984,954,630,423,936,562,560,312,709,498,659,035,571,
800,452,773,053,959,241,849,079,258,346,898,516,664,385,739,541,566,648,945,
196,275,451,692,301,797,795,814,794,434,629,629,532,118,000,755,857,713,967,
650,248,103,552,031,965,427,100,068,695,093,278,301,322,447,205,405,875,261,
988,897,791,283,692,153,160,255,232,109,489,330,795,416,078,192,055,228,373,
672,530,894,757,737,166,047,005,873,115,646,197,487,327,989,126,065,062,251,
610,892,966,398,592,001,441,821,443,340,653,888,611,348,662,209,253,188,617,
928,835,866,005,836,602,985,449,477,919,279,653,648,711,740,285,646,447,329,
788,675,557,568,009,652,006,748,533,472,389,096,662,729,220,817,230,016,278,
595,626,200,230,779,992,345,200,172,799,409,191,189,667,199,300,779,935,510,
315,910,482,962,445,254,419,310,333,237,467,630,943,445,241,916,577,540,955,
942,192,717,295,428,325,260,803,692,719,108,831,907,646,895,621,513,198,140,
058,361,893,041,250,129,292,813,962,568,569,086,162,016,475,295,002,148,677,
735,766,138,389,670,007,020,583,080,194,565,971,432,742,651,826,702,854,519,
109,014,269,678,163,313,278,098,838,703,534,035,719,216,003,347,313,378,474,
019,390,799,845,498,198,816,240,327,264,592,976,798,324,440,051,440,921,204,
897,178,007,534,775,575,689,757,358,323,434,509,626,711,965,673,453,642,818,
341,254,234,633,594,643,656,047,502,064,911,626,211,342,104,001,253,562,023,
020,344,979,594,665,823,457,291,162,469,202,694,783,408,423,080,074,439,576,
432,178,681,917,818,977,713,012,880,255,088,599,002,147,617,078,653,050,708,
378,413,123,252,771,264,397,839,833,191,145,470,800,071,950,154,664,239,735,
010,724,976,877,825,965,729,334,344,807,377,888,915,903,449,961,419,815,968,
945,808,856,744,671,324,514,073,279,593,197,533,966,865,517,260,705,358,709,
719,110,068,424,899,928,201,747,863,999,047,665,327,796,052,076,650,337,471,
497,591,861,476,097,478,852,768,211,555,773,686,397,533,036,558,822,296,116,
914,681,997,316,398,615,252,817,754,332,862,624,747,626,291,993,643,979,153,
337,753,453,921,045,679,108,248,142,174,792,957,139,682,422,901,714,832,091,
001,963,331,487,812,397,750,370,845,219,178,478,050,443,231,162,325,164,594,
866,893,664,608,627,327,081,299,116,560,886,165,366,765,074,419,063,326,151,
521,665,257,454,191,302,732,193,533,692,889,338,960,330,611,644,316,827,967,
250,188,211,856,380,286,676,145,839,526,325,550,108,837,064,388,856,714,447,
628,562,166,155,483,223,068,394,712,943,019,689,797,207,461,634,286,814,275,
848,424,529,919,181,993,567,920,693,922,390,359,323,852,500,564,380,234,234,
872,277,204,372,852,934,232,134,572,737,114,583,858,300,788,423,269,849,881,
159,258,647,483,953,412,715,919,455,128,875,566,228,220,931,384,177,152,522,
740,441,947,498,531,838,131,404,465,036,421,677,479,760,194,606,993,933,040,
798,818,854,678,568,449,573,648,342,743,117,927,077,779,796,855,308,902,456,
042,746,781,462,497,093,890,870,808,304,738,443,731,800,162,202,644,552,038,
856,650,554,763,648,990,203,857,566,171,226,395,553,247,974,291,998,228,405,
550,060,500,931,269,771,877,267,135,476,621,441,175,069,617,399,346,192,566,
503,083,907,068,143,071,041,933,034,563,805,464,574,992,688,691,306,496,184,
988,529,094,737,425,296,223,384,476,653,018,161,752,626,356,176,656,144,759,
806,052,298,270,917,328,625,368,269,162,947,207,495,238,653,625,069,720,296,
157,315,402,337,507,377,257,323,268,479,690,867,218,258,559,691,626,093,311,
396,329,210,781,849,573,730,750,247,723,756,982,856,100,563,926,258,622,863,
146,943,920,190,170,569,962,632,683,099,932,109,552,896,843,809,851,747,815,
908,702,124,957,576,958,786,289,975,336,387,075,577,248,248,164,039,808,880,
234,783,489,356,612,878,319,791,079,355,018,136,725,448,086,936,724,876,597,
548,198,063,067,269,459,408,508,741,420,850,488,554,834,306,008,043,142,171,
588,469,896,641,294,532,047,872,643,178,923,294,417,164,528,227,205,719,696,
785,801,406,727,769,376,175,261,666,396,106,155,973,671,346,738,106,722,388,
748,914,846,449,087,005,993,279,195,441,933,964,227,417,604,172,138,192,836,
178,623,311,583,174,623,056,057,584,149,725,638,232,114,973,552,078,508,420,
988,207,182,523,749,138,537,398,256,316,460,643,287,563,762,539,013,145,910,
467,685,632,868,635,040,777,342,531,301,539,728,364,569,946,407,746,021,467,
500,852,979,395,324,727,341,913,065,856,916,419,493,489,879,695,347,502,163,
167,994,296,376,114,030,696,215,090,212,109,952,171,485,227,475,912,816,792,
557,282,155,116,767,103,292,063,521,200,193,543,744,766,518,992,635,273,553,
872,807,971,501,962,360,025,361,032,038,362,278,776,631,413,022,195,164,587,
483,152,251,580,354,163,321,683,743,105,120,485,162,826,988,329,061,590,018,
052,104,621,010,595,519,535,150,203,052,449,032,827,856,236,853,758,764,230,
449,446,182,294,334,862,727,908,596,358,352,413,627,170,360,017,539,111,414,
600,079,099,503,597,177,350,861,948,831,926,280,313,655,343,956,548,820,129,
930,451,361,015,086,212,895,925,381,890,170,462,304,541,689,529,001,758,174,
296,266,301,106,004,425,735,032,977,864,278,224,443,565,266,486,431,367,563,
033,799,856,391,016,741,540,816,483,798,466,478,062,613,736,853,950,639,692,
805,940,960,148,137,916,436,240,661,798,414,111,300,870,988,483,596,986,180,
686,593,650,772,308,982,842,861,339,787,260,482,343,192,204,554,870,534,154,
604,983,835,917,789,212,821,370,926,244,393,958,016,967,269,464,950,392,859,
423,315,986,538,714,843,727,153,519,260,054,087,937,718,784,219,834,868,153,
370,778,591,434,283,655,555,537,905,726,268,705,599,596,695,124,098,021,892,
471,109,483,774,492,742,948,819,966,864,448,283,221,555,657,145,046,380,800,
538,551,279,650,070,058,856,073,314,256,068,963,631,571,829,308,676,483,944,
466,994,813,446,247,325,443,978,735,255,991,569,649,154,523,876,936,751,442,
528,451,135,200,244,326,644,219,051,157,122,250,482,615,454,359,650,993,288,
340,845,590,983,582,971,178,198,779,222,296,776,679,262,170,694,001,135,936,
141,359,536,958,180,681,768,779,907,637,415,205,267,402,163,486,258,970,164,
754,363,150,959,374,451,378,562,093,423,198,216,594,653,822,466,474,811,820,
587,777,475,327,816,940,560,213,812,017,841,311,644,424,265,573,640,019,554,
666,335,505,754,615,094,330,963,753,969,995,660,421,194,691,418,212,414,121,
633,125,587,578,582,645,405,583,090,774,834,651,113,661,051,865,679,812,305,
362,459,683,225,875,523,958,153,049,944,046,174,816,935,875,871,582,870,985,
818,431,439,731,837,122,827,606,128,691,248,378,042,163,183,806,432,056,715,
813,957,360,727,668,254,375,522,312,952,050,328,318,699,690,579,186,954,123,
508,747,732,761,323,439,127,381,550,750,134,237,044,447,909,588,442,110,896,
276,395,523,137,617,406,101,013,682,996,726,207,316,458,221,414,457,364,419,
030,350,022,547,234,586,019,035,842,701,314,098,385,188,258,317,497,632,277,
063,688,562,493,350,905,371,564,670,753,548,179,428,139,617,066,598,412,872,
174,851,006,039,173,923,177,404,224,858,852,970,327,479,883,515,356,717,049,
948,458,309,480,619,296,000,424,286,819,256,543,139,636,312,057,693,999,874,
188,865,387,333,058,818,646,539,263,473,046,969,383,745,009,645,235,712,613,
479,696,094,065,875,617,955,849,396,901,954,881,581,814,816,060,216,516,197,
839,905,529,040,790,830,068,505,652,543,652,060,483,496,275,554,727,026,954,
670,615,358,497,153,988,482,856,718,327,087,890,408,088,087,051,879,369,272,
077,017,379,769,170,923,917,226,878,105,792,610,971,198,372,331,599,910,051,
328,940,456,871,824,129,204,482,987,066,984,665,561,465,860,002,132,742,098,
342,746,666,195,218,744,656,376,883,518,462,502,717,200,039,797,023,212,754,
530,467,007,104,414,841,602,553,289,614,619,386,193,224,643,947,075,242,623,
455,376,448,919,466,686,934,446,735,491,119,743,979,337,033,452,417,533,172,
507,963,988,220,408,600,715,926,373,384,382,226,737,265,111,857,252,043,423,
638,376,342,595,052,565,643,584,954,604,534,273,688,325,431,108,101,120,538,
022,596,225,240,174,820,986,266,234,313,353,680,227,250,996,139,359,795,443,
551,493,909,982,190,794,911,972,803,675,727,545,303,983,849,250,010,225,733,
784,356,100,036,784,087,159,772,708,573,537,067,247,685,291,271,421,027,689,
778,483,104,067,615,902,523,436,745,587,790,425,582,346,638,638,399,427,966,
267,468,032,646,669,447,167,424,374,622,062,729,477,514,241,472,214,625,785,
643,387,580,641,001,953,929,299,689,470,030,483,982,711,680,468,811,568,369,
990,715,844,222,209,606,119,184,465,261,654,928,470,636,453,256,298,804,709,
582,276,327,065,148,790,105,717,543,377,307,693,364,627,204,354,501,396,157,
723,736,278,455,050,965,931,298,985,673,351,822,615,032,629,062,788,393,878,
520,092,568,510,592,306,861,856,240,793,162,001,870,043,788,451,104,467,427,
481,389,765,517,214,302,073,335,424,464,401,056,733,598,402,408,343,615,375,
295,267,006,757,381,806,241,580,648,474,584,100,848,721,404,279,821,147,310,
118,008,876,295,760,270,087,018,885,894,647,256,498,204,216,262,660,168,219,
527,245,365,577,443,545,157,933,006,897,570,944,830,791,251,799,790,262,518,
992,265,385,158,630,683,467,489,875,643,046,302,457,676,624,510,851,821,790,
895,888,650,716,902,144,250,506,650,925,588,759,747,686,205,265,677,507,474,
779,219,844,940,721,808,992,465,770,093,007,915,472,784,573,078,673,535,170,
102,829,865,948,352,490,043,739,187,021,224,614,821,862,435,927,207,231,754,
799,806,059,888,729,374,115,777,022,752,948,095,363,398,702,669,661,777,647,
073,503,225,984,557,171,873,663,857,402,301,445,497,982,543,807,648,408,828,
808,521,229,090,231,086,209,442,835,834,778,890,725,049,452,094,011,196,230,
104,456,833,756,388,808,228,120,331,665,743,534,058,512,128,255,293,421,660,
535,954,710,872,468,192,446,078,403,525,182,136,865,183,559,312,096,712,830,
172,392,982,874,477,911,852,947,911,184,085,551,936,302,795,799,378,347,520,
957,132,883,699,121,837,362,112,438,935,470,868,914,963,334,401,243,042,753,
853,704,058,363,868,974,242,579,265,898,264,705,944,407,911,445,931,963,263,
336,962,713,448,854,349,773,514,611,795,529,396,342,183,700,504,236,923,222,
914,807,981,364,170,480,384,444,536,464,804,718,186,596,377,375,847,795,683,
635,253,321,171,368,868,236,912,556,686,200,356,713,154,852,363,699,316,908,
436,104,452,808,826,671,141,471,415,634,367,590,086,421,313,947,443,115,275,
087,313,575,094,379,287,111,359,961,159,686,909,808,590,177,744,680,831,724,
320,416,995,094,822,292,373,889,577,673,495,248,520,452,012,928,210,806,670,
254,653,687,785,901,114,689,218,106,336,752,370,248,106,935,440,589,082,795,
560,674,387,166,933,438,631,840,235,701,206,889,783,146,521,852,141,333,173,
084,192,287,259,427,940,234,747,693,491,285,714,639,189,662,569,310,400,547,
491,960,252,506,091,257,703,069,515,694,639,317,621,134,697,237,322,188,675,
999,740,884,986,072,985,437,851,509,040,747,295,114,525,983,612,396,442,655,
365,312,615,586,600,360,249,874,595,498,317,643,543,738,192,578,588,737,088,
201,386,565,348,902,357,979,166,124,131,683,335,308,354,073,967,197,201,072,
238,508,015,940,243,256,731,187,776,573,924,490,346,338,171,369,475,042,048,
373,712,274,425,429,066,692,805,162,706,089,399,491,844,351,465,916,256,251,
895,915,651,542,756,210,569,754,669,432,177,541,223,259,155,854,312,351,477,
369,594,100,009,412,530,477,556,753,608,450,325,779,754,879,926,938,052,769,
904,304,578,453,641,377,056,478,124,626,361,664,612,010,874,729,385,787,991,
360,595,277,765,111,036,732,315,934,594,095,396,097,952,306,610,865,620,209,
757,931,061,251,118,879,137,994,545,846,657,784,916,149,396,152,977,445,778,
210,694,455,412,708,072,681,602,702,271,122,373,543,297,388,727,967,171,702,
117,976,268,707,790,839,181,705,948,051,355,595,739,147,552,079,437,698,804,
490,113,164,275,966,942,091,296,124,341,998,133,869,860,781,782,640,916,750,
671,916,312,596,638,543,830,572,213,775,150,041,856,865,963,264,530,859,114,
079,486,885,054,974,532,552,384,565,978,227,325,644,992,500,231,304,531,681,
511,461,012,044,536,125,474,722,683,870,881,011,378,425,279,857,653,893,791,
091,550,203,918,313,116,696,408,464,554,491,323,572,448,251,999,082,509,167,
068,208,417,207,170,741,453,301,276,803,401,293,941,697,096,838,297,323,963,
120,235,615,252,231,244,448,303,079,142,504,827,713,123,310,191,350,996,121,
266,684,045,742,510,511,983,276,226,232,597,141,766,430,779,213,454,140,383,
111,723,301,644,321,106,314,166,768,196,434,410,864,485,850,145,274,949,738,
698,367,488,146,363,976,964,226,340,850,225,539,527,053,653,723,107,095,388,
281,439,460,316,251,377,892,654,940,011,828,658,655,138,886,836,652,515,816,
732,442,929,217,058,394,614,859,155,627,594,286,050,240,535,783,918,251,984,
524,633,121,818,262,809,650,870,290,907,404,668,466,031,572,316,820,069,998,
374,028,125,448,880,278,936,811,024,159,417,455,266,475,573,589,688,069,429,
881,182,283,846,330,340,783,961,977,013,923,716,891,761,218,213,520,823,708,
282,019,438,761,547,469,862,284,579,751,995,114,592,309,868,211,011,593,416,
803,666,458,306,154,432,181,661,885,445,830,912,885,801,617,280,413,265,442,
634,278,409,839,456,551,002,398,649,421,683,050,072,051,897,448,011,205,948,
093,446,810,741,002,229,297,362,796,679,621,872,719,861,765,494,861,028,193,
978,487,373,820,840,850,168,059,255,814,093,266,108,569,420,265,884,870,545,
902,376,225,804,259,830,671,840,605,892,321,049,375,303,568,183,348,023,493,
686,295,001,391,215,556,657,319,980,721,359,624,952,462,612,689,734,610,751,
547,340,521,685,207,141,167,385,181,346,429,823,421,595,132,619,838,815,864,
658,447,953,689,848,289,881,217,889,212,526,970,388,330,373,142,778,072,811,
960,313,401,193,164,077,432,124,764,347,350,580,233,149,280,546,137,943,313,
763,565,810,902,297,935,960,673,964,084,999,568,562,341,511,756,946,917,460,
950,623,997,483,541,410,795,659,972,028,115,722,285,271,714,075,820,112,490,
614,425,229,242,244,752,620,094,209,059,895,258,384,753,541,120,539,513,510,
091,992,479,109,622,714,386,947,253,367,852,876,718,514,438,204,375,842,355,
495,736,382,130,676,382,550,051,849,999,963,800,899,413,896,386,774,567,396,
334,029,306,078,694,056,612,972,532,390,627,240,052,987,472,267,742,427,518,
839,945,415,909,057,761,536,030,098,721,720,955,730,229,064,751,775,586,889,
744,318,956,832,419,654,072,774,886,844,485,694,150,118,911,063,678,190,726,
212,629,971,577,731,220,529,660,181,352,069,307,507,185,928,313,355,224,277,
098,783,702,013,487,475,995,196,357,736,998,265,686,899,571,519,836,954,492,
082,186,446,780,054,648,853,368,238,160,953,308,727,598,180,330,354,555,069,
964,301,124,497,681,956,629,099,975,695,251,941,653,560,381,088,775,484,519,
361,807,040,781,288,352,444,403,989,314,022,723,440,925,294,148,669,915,424,
921,112,409,469,587,607,425,282,160,047,604,011,508,754,128,688,142,990,884,
833,746,143,937,987,035,529,094,314,448,724,604,359,799,474,093,516,629,200,
029,645,509,876,339,817,810,297,329,396,822,938,606,833,038,680,300,896,605,
609,135,907,824,363,630,902,444,571,048,637,886,700,070,783,778,541,756,758,
624,289,909,593,561,853,520,932,570,380,537,214,146,542,854,708,166,183,771,
873,509,546,252,653,601,677,653,928,183,078,093,330,651,092,256,520,120,884,
084,508,751,614,969,511,495,400,509,527,505,342,477,277,550,969,652,423,899,
146,744,171,873,286,498,402,720,932,780,926,734,496,976,478,255,935,667,213,
894,611,118,226,567,546,615,768,550,292,738,178,423,790,294,511,243,361,495,
767,222,935,883,679,023,444,113,977,364,369,781,418,086,554,014,645,634,431,
109,820,131,576,405,308,906,944,531,636,153,695,635,687,262,087,055,532,885,
000,317,741,311,188,068,005,587,089,984,798,273,311,611,995,694,071,638,620,
496,678,610,291,294,335,748,289,888,797,708,566,323,366,326,387,361,495,845,
022,688,912,034,338,882,374,820,303,961,882,137,902,483,667,083,328,205,327,
946,297,654,481,767,617,392,240,160,269,355,530,841,932,622,969,348,095,838,
331,524,092,953,116,062,612,632,685,877,442,309,015,694,826,888,262,843,146,
566,623,821,855,695,463,944,308,831,574,511,642,921,283,844,236,122,609,970,
022,127,904,688,829,025,872,359,251,872,775,395,730,026,677,244,733,153,805,
190,706,789,174,430,876,968,386,237,549,945,570,849,875,714,974,905,951,327,
583,326,336,187,020,204,830,754,620,429,971,690,860,356,124,911,791,135,835,
030,050,870,360,520,174,592,310,847,257,708,442,529,134,251,072,443,847,531,
485,494,559,569,125,542,404,690,174,540,449,777,723,440,540,477,809,521,089,
031,409,299,356,011,104,846,701,224,200,157,471,680,241,740,180,550,894,857,
154,064,946,923,013,241,566,020,675,103,599,027,302,697,406,119,964,838,112,
961,224,801,531,447,347,484,566,150,468,525,759,027,339,348,166,908,116,923,
486,594,071,486,693,887,432,994,604,513,342,675,171,957,091,915,938,293,031,
521,109,295,489,587,376,913,190,533,331,610,054,187,472,943,112,054,449,289,
562,393,863,526,875,946,235,682,515,313,591,263,223,137,457,549,835,441,531,
804,468,465,098,952,914,980,879,639,276,504,844,563,106,016,683,682,093,643,
083,811,648,550,414,060,539,027,340,709,370,663,086,009,681,408,585,026,099,
140,256,876,592,450,273,230,668,331,375,600,463,354,229,758,814,118,562,270,
386,771,542,570,306,164,727,060,917,672,939,529,192,033,316,042,236,527,186,
817,368,592,773,620,109,332,912,481,353,813,386,697,162,988,471,915,436,376,
002,798,333,853,476,517,000,636,390,156,133,204,927,603,665,729,725,506,929,
341,216,164,980,976,821,791,480,492,369,625,505,274,396,473,483,951,884,374,
948,449,436,048,415,972,558,391,746,062,815,073,719,212,670,028,243,167,340,
932,539,000,866,432,250,005,144,570,116,436,299,918,231,846,289,533,382,548,
913,945,197,425,549,583,603,396,922,367,688,054,178,671,519,346,003,084,802,
672,005,793,030,320,361,553,878,292,868,659,282,101,317,614,143,776,497,941,
128,695,654,686,658,199,787,597,258,705,488,088,298,724,953,968,260,519,460,
794,187,863,245,649,976,176,650,243,582,328,191,239,669,626,948,734,464,178,
642,015,663,954,839,049,575,869,400,448,857,412,118,884,451,944,481,048,634,
525,166,416,216,560,817,011,412,992,271,612,773,646,609,080,829,965,357,772,
729,920,989,653,634,990,508,568,605,599,408,597,899,311,887,905,851,187,414,
915,863,924,867,366,868,655,777,421,732,997,667,886,535,569,870,410,125,785,
739,671,188,415,576,604,239,759,801,091,074,304,277,322,561,312,154,180,109,
123,435,827,348,849,760,738,132,973,634,642,030,142,882,391,434,889,416,520,
024,091,092,135,170,263,726,191,040,072,929,298,724,543,675,931,505,955,574,
999,601,721,448,934,626,364,285,342,262,448,187,934,196,743,737,635,291,767,
459,812,396,257,709,414,008,397,723,694,833,689,121,475,262,705,008,764,172,
310,522,041,214,859,683,575,489,459,435,655,496,259,676,621,318,913,236,882,
748,714,588,785,962,005,273,598,078,504,434,243,298,471,495,903,552,047,245,
579,309,260,584,637,466,192,134,643,419,579,540,246,109,590,586,355,559,878,
943,818,395,185,438,133,109,272,738,386,172,956,366,238,880,204,038,212,741,
791,481,911,462,539,123,541,797,785,707,453,582,187,413,190,473,955,748,352,
656,704,377,608,911,576,141,964,085,857,183,915,281,629,616,579,873,181,363,
279,230,180,213,455,570,484,632,686,335,597,820,300,867,472,145,464,057,732,
894,589,373,746,789,336,632,660,787,957,653,776,567,909,096,943,951,413,287,
419,347,642,781,600,447,599,007,325,715,865,904,158,560,034,572,511,063,525,
223,294,777,950,949,524,066,961,896,197,784,179,299,314,820,371,843,795,978,
618,886,446,137,227,486,218,875,964,766,842,763,199,594,802,289,875,480,249,
824,364,712,929,849,676,721,441,382,694,984,710,468,778,011,929,439,131,598,
158,806,805,648,922,164,790,903,249,601,170,935,937,870,843,948,361,401,008,
538,877,483,470,070,613,906,514,544,785,334,973,038,045,012,824,945,214,442,
272,752,360,709,543,223,058,521,074,113,091,983,223,856,155,543,660,887,121,
297,546,747,777,667,175,391,835,623,910,463,930,679,517,088,213,000,487,564,
643,469,399,074,956,481,888,137,607,792,660,388,433,297,407,553,366,294,262,
898,995,147,178,132,153,419,735,705,127,821,436,462,742,220,951,538,242,251,
781,300,294,762,161,347,024,393,961,127,822,727,851,638,127,567,575,464,065,
236,217,501,017,070,769,914,124,741,503,418,302,447,495,911,391,711,235,379,
939,186,559,580,149,468,688,206,160,681,773,877,494,731,487,500,950,737,044,
986,636,369,365,474,015,566,971,996,343,965,355,973,647,966,837,109,139,488,
442,344,788,335,889,556,545,124,911,158,476,200,173,357,282,231,489,285,795,
825,691,494,104,287,639,866,698,055,411,104,362,459,474,078,243,160,445,863,
642,615,335,402,559,822,803,564,365,633,597,469,929,089,258,394,548,186,640,
945,685,825,308,616,492,896,153,547,442,909,429,960,355,278,575,543,511,908,
664,038,641,275,411,832,189,967,035,111,663,441,372,909,747,368,810,528,717,
739,971,088,334,385,658,415,622,460,367,256,653,318,947,561,731,100,128,551,
363,390,920,447,662,639,232,271,389,000,684,910,348,967,333,975,042,532,872,
247,257,446,983,791,786,459,414,049,869,791,160,693,704,917,034,511,732,516,
345,057,851,449,092,564,466,630,280,660,688,690,712,488,306,173,228,390,421,
875,974,692,414,463,285,479,330,682,697,772,526,612,774,328,353,602,677,630,
717,972,708,933,392,753,746,050,374,894,376,997,643,541,633,027,305,489,418,
607,928,725,464,325,133,067,193,594,063,864,550,022,635,508,316,605,844,204,
372,527,890,974,786,646,667,479,368,200,193,192,216,255,739,321,221,943,748,
476,193,932,778,948,879,666,851,283,921,346,909,578,399,576,119,331,050,483,
316,957,400,696,554,042,501,847,056,754,349,001,667,364,163,828,613,120,761,
663,391,275,153,661,079,974,508,381,034,552,179,774,483,541,101,749,271,871,
516,474,013,350,191,352,279,062,559,333,529,981,971,508,613,261,055,744,642,
469,270,057,056,378,745,761,963,957,754,747,968,843,084,567,878,105,468,588,
214,414,379,852,867,579,573,183,334,325,793,562,003,835,974,834,872,242,119,
723,032,396,258,189,041,956,267,030,021,580,352,046,034,675,579,432,668,876,
252,543,749,241,092,106,131,123,240,703,649,136,256,821,232,517,009,857,429,
272,458,317,643,481,201,347,342,939,742,273,888,704,119,261,530,954,259,682,
149,711,699,103,498,159,600,881,140,340,624,569,958,835,019,029,251,854,300,
200,876,224,267,555,424,594,910,206,503,111,893,552,335,211,594,011,250,268,
131,662,677,502,813,298,742,413,506,226,482,724,835,821,360,244,921,719,170,
025,649,323,110,649,224,460,937,979,266,190,041,955,211,251,182,033,984,572,
883,305,495,750,933,102,707,997,940,979,497,197,327,502,385,596,970,987,865,
571,211,488,214,910,603,233,905,228,709,319,033,896,735,824,017,361,590,426,
378,758,205,827,686,895,654,683,509,615,533,260,375,860,906,736,802,968,766,
448,902,562,860,131,050,589,759,666,372,508,008,122,502,639,659,657,494,358,
740,835,419,915,635,982,619,456,420,628,580,059,980,335,739,604,905,279,461,
274,635,983,270,518,705,014,856,567,583,616,268,630,004,175,140,832,863,498,
086,044,229,454,728,625,358,433,160,574,481,709,816,669,953,638,317,340,692,
674,280,577,242,178,533,936,417,051,841,128,151,463,851,190,443,722,700,963,
928,705,141,624,804,680,673,757,672,107,509,291,980,863,088,649,282,239,420,
627,351,688,111,549,009,072,287,827,732,077,554,709,022,607,080,748,384,036,
721,989,984,507,075,823,001,347,377,054,366,891,071,799,508,861,537,459,191,
689,447,737,692,268,199,373,668,041,764,073,543,916,337,657,649,516,309,139,
220,746,359,964,069,767,271,414,241,735,331,555,824,524,528,760,371,470,486,
544,837,994,430,353,471,097,635,562,296,599,834,592,222,040,638,898,194,488,
041,748,445,587,706,586,109,757,949,944,719,967,812,824,382,706,767,515,016,
216,611,214,534,189,015,322,597,965,410,948,102,567,107,108,043,598,492,057,
478,117,265,381,422,999,837,878,785,316,566,620,689,060,539,624,641,491,945,
786,859,411,494,845,291,749,598,394,075,993,937,644,805,320,452,983,358,308,
154,991,022,572,485,639,692,366,591,521,937,219,163,303,027,113,908,467,784,
935,990,774,539,318,802,090,425,097,725,209,328,820,947,245,591,867,972,654,
734,059,485,138,165,724,904,946,231,910,293,941,947,522,244,144,583,073,784,
368,495,099,165,854,737,026,793,161,807,288,419,677,503,814,371,758,628,604,
570,183,884,721,310,586,860,266,461,495,171,489,286,075,793,630,787,738,276,
678,312,831,703,323,364,865,001,632,184,055,264,317,295,104,321,227,374,606,
785,656,124,775,788,027,053,865,065,674,399,162,456,150,960,303,860,579,659,
446,725,641,567,185,680,700,906,083,133,429,594,624,416,091,730,669,556,493,
102,021,052,343,020,802,007,827,813,516,600,759,637,775,660,002,044,693,094,
259,583,729,143,703,069,748,797,312,637,810,537,041,108,811,782,746,435,806,
723,296,186,971,446,994,833,023,695,018,317,913,845,954,028,897,223,607,873,
208,841,783,729,200,753,353,449,826,127,851,188,530,036,425,458,069,771,914,
443,716,450,842,785,449,939,942,301,026,609,009,754,162,043,334,464,698,371,
097,419,326,808,970,423,134,452,408,960,033,705,442,054,044,913,925,443,987,
029,203,858,072,450,755,417,058,424,681,158,902,021,103,983,102,089,852,336,
123,616,473,758,228,310,124,232,306,142,928,266,954,819,999,577,614,140,497,
201,831,614,651,719,092,858,727,561,403,256,623,051,625,910,352,737,990,323,
334,840,360,037,112,998,063,289,389,839,711,031,894,877,789,891,217,564,473,
013,065,228,884,295,413,324,926,878,422,519,738,311,604,971,332,316,810,945,
439,553,211,203,619,173,540,397,001,171,287,497,522,203,997,742,303,304,678,
000,311,261,855,911,491,035,484,476,759,540,842,767,028,753,481,504,741,473,
364,945,232,507,911,660,537,747,253,422,745,543,168,457,020,424,890,622,298,
398,598,531,071,403,132,811,117,296,135,983,056,956,674,333,637,879,746,987,
233,972,469,978,536,013,136,414,811,098,138,992,145,921,641,416,207,126,938,
274,048,463,523,790,266,302,249,796,158,698,289,229,841,689,346,893,299,074,
811,353,876,373,621,302,728,322,924,073,214,358,538,678,481,937,359,606,719,
034,589,345,298,005,943,072,791,164,440,351,527,450,258,503,451,722,831,616,
156,005,681,130,661,635,382,003,815,628,705,639,367,774,559,665,202,036,510,
797,289,361,679,609,345,685,090,210,722,241,819,786,952,174,233,650,061,456,
408,421,529,571,825,262,133,219,950,569,188,696,732,139,398,109,572,426,239,
133,063,171,221,667,896,143,121,227,191,556,772,370,380,461,770,994,084,783,
327,107,328,421,916,723,515,409,188,873,719,500,751,944,221,892,341,804,707,
738,180,168,499,528,866,076,271,991,489,530,714,239,337,060,549,523,701,792,
582,464,548,841,583,386,176,147,541,248,522,700,773,938,634,897,456,517,350,
763,465,564,407,720,843,125,143,761,384,801,199,505,404,157,966,110,906,735,
666,468,596,598,576,320,865,183,576,373,252,426,250,715,428,799,091,684,779,
035,492,163,862,510,030,919,099,050,204,720,055,579,313,068,894,968,830,646,
997,890,836,620,376,703,029,285,862,607,410,902,948,158,158,283,774,687,646,
211,522,859,755,769,852,042,951,442,535,966,719,143,312,999,900,664,247,836,
427,888,199,019,886,567,845,354,252,931,170,576,039,078,238,562,878,098,263,
214,599,781,430,996,692,161,654,788,733,088,008,898,364,464,521,467,278,143,
529,371,611,067,298,031,795,147,924,167,628,960,819,334,945,280,648,799,523,
270,633,214,122,444,004,903,281,088,251,601,838,999,941,789,752,611,599,973,
678,780,051,437,732,626,213,601,427,475,236,753,607,007,279,392,292,315,839,
104,868,645,097,680,892,138,680,485,832,502,503,641,741,549,856,146,713,785,
066,147,600,803,959,244,257,674,155,897,797,109,358,467,781,700,421,667,418,
501,470,171,409,150,138,724,702,961,613,871,609,029,828,695,611,202,750,834,
962,944,274,509,032,986,748,944,548,092,695,469,272,993,572,113,577,017,942,
442,381,169,831,674,654,991,289,935,580,584,231,314,308,448,634,452,430,820,
096,675,928,317,083,957,073,515,964,531,870,651,070,565,046,600,539,648,629,
958,769,552,850,418,908,693,132,789,756,197,543,563,658,534,382,986,106,027,
760,256,310,209,717,755,149,779,578,291,108,241,518,227,233,660,738,352,201,
355,085,078,765,703,643,505,503,115,523,640,290,119,572,688,552,873,634,572,
906,367,314,863,173,030,693,568,064,858,816,081,003,086,642,997,799,350,491,
632,504,575,352,851,633,213,494,898,815,737,049,070,597,814,086,907,888,739,
803,706,715,567,283,939,923,233,549,992,013,659,479,614,017,080,547,010,926,
677,616,786,629,962,186,885,376,613,899,355,929,994,817,529,585,686,299,483,
383,993,217,360,958,869,892,363,256,855,592,651,519,810,474,414,278,239,054,
759,845,821,504,015,750,844,819,300,515,245,202,201,321,337,474,416,837,422,
316,256,289,199,185,947,915,243,779,222,693,427,390,816,808,119,613,650,400,
871,376,364,107,855,148,213,210,683,788,544,143,211,320,295,591,153,754,566,
375,329,435,645,231,894,348,188,264,330,456,205,990,477,657,565,838,753,259,
079,960,064,883,493,031,933,488,213,704,846,692,496,108,923,756,280,201,009,
852,646,724,851,886,236,333,910,072,380,654,485,328,171,954,069,493,173,479,
228,643,037,138,393,012,634,016,997,183,736,592,678,272,848,019,824,202,076,
748,419,886,999,526,401,903,889,300,264,077,129,889,657,834,241,194,296,628,
898,164,342,619,245,461,246,124,216,425,287,079,334,183,311,144,125,832,861,
044,178,865,324,418,195,743,410,446,647,477,801,262,014,085,099,351,762,501,
478,657,894,391,094,953,718,388,119,111,172,576,598,373,489,921,456,936,578,
695,914,067,556,344,102,816,120,988,459,456,021,621,404,889,633,682,575,589,
546,486,003,025,158,251,910,856,651,097,857,858,826,649,740,083,881,780,552,
929,255,453,177,261,686,463,846,241,840,608,927,500,576,551,534,032,012,957,
908,819,087,114,430,072,504,691,007,416,300,236,191,380,189,949,201,203,680,
295,968,656,637,411,596,033,490,479,141,007,867,261,617,316,858,975,753,931,
640,344,212,856,179,241,306,564,161,467,794,205,708,937,234,061,323,722,554,
722,093,281,906,550,771,872,309,743,692,842,263,117,060,554,536,982,568,780,
442,087,825,221,042,310,954,642,239,819,284,994,159,318,313,481,761,029,533,
038,261,302,112,130,836,994,229,704,206,900,636,656,383,346,510,071,548,847,
938,850,491,016,732,970,704,471,067,194,241,452,392,473,422,586,760,049,229,
662,824,892,983,571,750,925,173,289,740,447,317,001,516,905,452,212,598,375,
285,387,054,159,776,035,262,203,228,869,932,990,021,648,457,206,372,272,908,
537,345,912,879,815,677,816,686,750,488,028,041,996,688,276,588,769,842,077,
049,997,124,983,392,653,150,852,323,638,587,243,404,977,535,229,058,824,819,
136,625,044,959,012,878,590,461,226,983,674,402,715,023,445,219,915,536,378,
127,995,880,591,725,128,132,135,796,807,237,391,444,150,078,232,526,215,459,
983,608,621,096,147,217,013,403,526,922,295,547,219,497,135,080,698,150,644,
922,658,744,727,203,413,525,311,597,203,422,487,055,209,344,899,791,386,988,
359,046,678,828,657,670,594,843,840,270,578,232,533,466,080,040,072,981,584,
127,607,872,738,175,944,933,402,282,220,663,129,298,772,744,590,804,533,576,
504,840,585,791,670,800,571,535,043,979,029,719,127,792,808,235,223,472,923,
728,385,236,530,762,676,326,895,827,569,025,289,977,833,997,158,477,036,655,
296,535,209,852,068,441,795,723,259,199,662,331,125,090,550,921,931,745,128,
464,404,736,471,231,905,214,421,582,948,695,377,425,697,126,585,172,026,027,
354,664,200,371,738,670,410,032,622,958,825,087,011,122,006,005,534,313,935,
434,733,158,742,205,368,033,399,843,148,955,530,693,452,412,431,442,211,424,
431,744,173,644,080,577,593,101,741,789,576,607,255,827,694,338,209,500,688,
075,433,304,529,661,276,933,613,938,745,350,285,238,792,631,053,539,404,452,
199,859,249,421,548,821,098,833,944,778,884,243,758,672,366,323,904,387,550,
135,765,251,287,597,421,257,709,503,970,696,740,588,681,951,980,207,097,338,
053,955,870,774,913,006,809,786,802,803,287,994,199,481,131,880,381,293,134,
835,748,822,357,807,854,523,882,304,441,409,074,624,528,294,800,891,526,332,
199,141,651,699,648,221,194,214,770,275,235,067,147,735,266,644,522,238,187,
649,721,019,285,739,183,260,235,988,128,525,025,558,682,341,098,176,396,630,
370,478,523,525,238,372,001,334,918,839,596,551,136,695,002,244,446,060,538,
584,902,080,310,730,725,001,018,848,475,813,599,844,260,045,374,768,932,650,
819,981,200,487,806,591,272,005,671,356,764,734,413,416,078,354,447,599,830,
661,786,846,850,485,787,612,314,236,892,812,612,523,965,827,808,410,389,969,
412,182,789,647,427,033,410,230,029,870,537,954,784,350,228,815,835,283,422,
088,324,512,381,349,421,329,544,393,475,485,045,811,394,884,052,800,505,221,
718,544,492,470,650,922,947,906,804,355,497,328,561,381,065,505,507,999,916,
783,916,403,308,818,820,895,846,751,026,983,501,041,093,737,756,871,185,443,
313,505,185,675,453,905,696,463,746,430,843,676,746,046,770,734,872,541,078,
730,073,813,280,535,895,102,891,310,349,195,869,898,985,123,873,785,833,862,
987,226,613,540,617,557,370,093,517,921,402,624,467,307,366,632,779,170,104,
142,218,418,409,201,581,911,397,958,062,886,237,815,024,495,937,858,073,454,
523,005,420,009,160,578,576,442,074,840,923,717,742,454,122,574,856,740,972,
341,256,885,802,637,014,630,180,175,424,983,130,136,028,415,032,320,194,524,
566,294,278,182,119,675,937,972,121,918,221,239,206,158,844,096,659,286,781,
085,073,191,720,625,385,897,964,120,569,474,940,267,972,688,419,693,544,846,
459,655,684,475,132,161,523,422,404,643,623,347,443,410,511,534,006,673,738,
281,913,697,258,521,489,960,471,287,213,859,551,170,963,948,427,588,375,734,
812,329,301,587,247,937,504,658,666,116,289,260,922,293,927,675,680,564,031,
469,009,799,237,735,306,351,456,211,644,353,716,469,874,809,293,066,514,673,
994,375,813,056,305,524,497,697,664,844,727,406,896,446,758,483,530,261,985,
980,212,216,490,617,666,217,120,970,102,180,776,257,868,958,214,457,252,671,
873,806,291,807,119,584,598,796,773,249,096,950,575,893,456,660,995,088,438,
061,967,260,294,448,273,718,460,623,819,629,683,166,422,223,598,359,512,627,
762,726,064,337,811,812,084,333,102,604,337,548,380,364,045,848,236,113,738,
915,816,639,251,438,101,072,307,629,175,984,446,831,434,519,821,904,568,758,
734,288,236,070,103,234,221,478,672,169,364,038,283,201,977,645,468,336,662,
050,658,600,771,769,181,503,849,261,758,045,061,007,884,590,128,337,743,352,
888,080,201,606,060,612,564,315,759,109,176,501,505,533,102,132,873,716,060,
606,066,608,302,209,475,194,382,093,139,192,984,690,077,743,801,516,549,885,
157,935,236,528,868,547,205,228,635,302,830,198,516,479,982,460,268,836,328,
828,797,049,068,999,860,901,638,806,752,741,894,182,861,684,532,617,386,569,
752,011,396,879,342,024,115,716,785,618,787,263,088,140,084,803,604,882,925,
398,500,308,982,721,196,223,882,054,700,310,671,146,217,284,037,543,866,801,
067,311,617,376,769,443,400,441,989,022,380,384,244,203,073,318,815,467,204,
936,566,860,531,003,730,460,518,841,254,157,856,530,084,034,907,423,063,724,
292,817,913,337,695,853,243,605,865,736,662,055,946,465,115,169,450,224,644,
169,168,455,698,532,855,468,787,131,597,857,522,752,304,444,628,192,405,358,
697,225,917,921,663,041,627,623,821,207,124,589,888,827,139,744,005,624,000,
877,932,211,227,425,147,664,990,384,752,806,788,423,320,947,519,585,471,533,
273,484,719,546,540,067,909,423,259,856,488,819,548,699,310,759,367,986,416,
974,592,870,615,521,954,790,493,326,334,819,409,970,472,169,082,117,686,867,
383,156,504,561,659,764,331,872,614,639,455,867,169,302,835,311,806,433,805,
437,403,258,763,893,421,599,672,867,461,421,976,704,071,528,700,027,330,764,
425,763,669,905,125,081,971,169,200,225,734,814,776,160,894,579,354,839,146,
974,894,838,300,918,778,061,521,114,084,559,856,615,521,233,171,460,468,732,
684,346,634,925,987,830,593,155,626,563,592,772,025,171,820,614,927,741,048,
178,298,274,489,858,966,686,508,893,871,374,069,042,809,731,446,468,874,718,
997,843,592,471,066,560,606,029,405,533,154,785,553,973,832,717,476,214,460,
996,549,584,567,368,827,550,475,098,807,570,138,637,371,861,009,904,866,686,
275,551,110,404,996,424,383,254,220,782,090,230,339,434,783,324,763,636,325,
320,183,715,626,087,209,236,594,483,587,461,043,109,735,157,458,336,037,613,
346,152,951,420,259,679,126,657,811,516,460,431,515,578,662,219,557,616,939,
448,232,771,794,127,195,325,848,321,484,437,142,716,802,030,302,131,982,025,
042,230,842,570,349,827,060,495,323,653,900,138,670,374,189,949,128,266,968,
250,894,060,691,770,245,173,308,164,456,902,507,914,827,031,579,723,081,594,
360,876,214,460,983,094,885,293,942,658,519,957,116,435,361,471,831,871,240,
926,380,226,658,972,498,139,085,446,316,194,169,674,224,523,308,613,230,012,
759,608,770,530,336,215,610,110,574,373,636,992,295,263,339,752,040,729,688,
105,397,481,648,135,250,475,989,698,374,656,147,859,441,827,847,285,524,757,
419,205,768,733,734,262,747,635,047,959,508,900,040,240,041,736,851,451,209,
029,014,853,775,245,122,824,405,763,650,223,460,128,394,315,702,200,333,609,
331,917,026,935,995,418,926,528,151,272,103,094,760,599,368,053,354,412,742,
663,762,798,472,080,658,710,620,796,450,651,617,552,398,149,353,535,835,391,
735,849,585,389,044,272,640,202,661,751,599,413,030,500,263,841,619,112,806,
775,855,616,290,990,481,190,667,493,670,933,614,516,921,124,856,991,604,099,
329,385,804,585,688,175,446,947,860,156,259,405,004,961,286,487,447,048,520,
431,928,805,987,828,347,558,742,847,954,222,127,680,867,248,149,137,468,281,
379,629,244,529,672,621,901,320,044,286,745,659,724,850,275,324,602,238,482,
263,750,493,805,310,237,279,136,069,873,356,002,918,609,915,381,554,971,541,
653,353,759,564,547,526,842,517,823,662,305,467,043,294,300,234,600,469,484,
599,260,543,183,237,714,524,864,043,789,431,056,438,626,461,479,556,518,989,
227,267,792,183,405,181,400,143,040,438,172,582,807,396,489,866,587,630,009,
239,229,397,828,125,496,235,124,976,966,439,523,447,241,985,697,877,468,627,
572,020,559,387,033,459,693,990,724,336,907,619,969,098,722,927,330,592,467,
836,608,163,174,820,908,565,914,154,206,752,517,066,695,545,531,312,740,357,
154,094,751,709,334,466,086,259,182,028,832,741,525,412,021,475,378,862,631,
807,627,746,008,032,716,004,214,922,673,760,796,709,525,737,612,325,558,221,
967,154,777,517,874,825,989,136,498,259,128,769,926,998,859,018,082,999,797,
910,396,177,615,405,547,030,381,060,234,879,647,038,157,354,375,008,162,935,
643,125,130,338,599,548,525,664,696,943,107,118,610,254,138,160,534,212,203,
006,387,184,640,767,783,105,317,010,677,465,663,245,446,230,042,111,365,785,
609,096,047,869,877,857,796,956,518,990,164,979,545,449,079,575,972,274,120,
066,425,135,872,352,054,772,112,864,943,079,004,669,843,730,453,428,324,509,
711,800,249,770,209,029,754,581,168,593,200,284,547,452,851,041,883,379,203,
379,234,497,907,104,271,318,138,556,023,843,789,084,920,218,701,947,550,768,
468,000,115,820,404,060,239,157,762,868,022,295,364,182,144,960,541,489,618,
243,810,484,326,812,489,447,819,812,782,656,668,851,892,489,508,935,290,372,
418,181,766,321,680,403,857,251,345,788,131,796,011,967,932,067,378,167,146,
345,180,051,568,676,216,278,267,637,061,674,775,646,753,473,837,848,300,337,
229,661,976,383,218,452,679,923,571,343,636,350,923,490,082,396,868,103,169,
529,347,412,133,437,916,068,321,889,099,163,971,053,586,139,898,184,881,903,
337,607,967,909,085,753,655,672,002,392,287,921,740,121,379,592,368,724,661,
165,806,034,790,761,477,997,362,287,891,948,090,357,869,370,423,998,590,203,
712,495,338,368,168,974,845,811,264,894,201,108,141,688,437,160,457,243,579,
156,957,174,827,450,232,382,532,763,222,618,919,702,669,553,508,068,393,088,
575,816,173,463,737,067,058,484,898,596,076,743,529,053,283,986,045,358,195,
686,389,775,994,552,930,356,418,387,341,620,710,417,381,702,527,749,143,664,
535,552,951,402,850,723,571,995,070,678,211,571,798,124,119,586,484,372,459,
224,357,230,414,431,923,365,493,848,863,898,209,452,901,706,935,952,748,893,
558,618,999,771,304,269,159,088,161,573,695,789,900,501,062,858,006,338,715,
960,008,247,500,167,651,909,405,200,637,539,909,259,226,062,672,347,890,252,
749,887,902,092,979,756,417,302,018,553,239,860,846,373,396,321,968,353,124,
662,176,718,691,805,744,219,040,938,476,216,703,577,695,094,008,729,942,080,
700,792,780,475,397,880,258,331,658,717,934,134,261,350,039,729,482,906,377,
642,165,777,377,642,776,027,980,363,192,668,932,804,218,425,876,385,728,665,
749,256,923,998,951,496,487,220,875,384,126,812,608,879,894,111,928,436,277,
152,893,575,600,998,151,568,300,634,756,500,404,684,326,815,059,194,219,471,
714,149,255,011,202,727,740,348,298,902,375,266,447,339,020,963,131,133,634,
713,442,012,413,526,004,134,983,946,888,103,482,270,993,779,898,089,717,587,
529,993,418,324,177,137,782,907,632,857,915,579,039,716,965,759,491,084,197,
629,518,012,805,265,498,990,630,933,939,052,566,821,631,849,381,850,898,994,
041,961,901,977,861,694,203,475,799,324,229,221,149,154,781,679,859,122,461,
500,217,757,624,915,338,260,870,883,016,903,630,993,932,047,621,798,422,567,
453,616,010,970,418,665,240,763,688,505,791,009,010,448,700,027,700,728,600,
340,486,636,127,557,879,445,480,260,292,167,097,350,547,649,007,921,968,255,
548,336,118,137,097,086,163,181,631,086,913,355,878,037,377,310,238,334,209,
690,458,697,527,405,522,873,636,798,954,721,150,384,576,541,128,241,980,094,
254,362,995,411,757,709,132,325,673,748,552,278,300,100,445,481,254,273,101,
234,390,290,645,931,146,004,230,247,581,259,685,773,014,484,079,917,190,680,
002,156,389,076,214,828,316,697,212,455,059,202,637,579,484,287,028,073,063,
087,372,554,787,064,577,476,205,346,852,001,813,910,054,357,231,265,010,098,
390,086,110,942,687,443,626,724,322,254,568,653,142,135,842,018,693,351,682,
431,619,901,610,416,824,220,339,481,588,918,997,944,897,437,334,104,901,664,
855,186,717,313,081,496,314,775,686,204,812,893,396,198,492,687,240,232,366,
664,000,325,982,745,803,472,062,325,170,387,929,036,616,424,791,966,661,002,
420,470,154,164,115,435,376,915,734,984,654,974,425,125,660,532,881,243,270,
043,952,538,474,887,909,342,039,870,012,580,493,073,783,004,969,287,164,414,
713,228,494,813,852,730,940,617,348,264,899,414,742,707,833,412,581,010,815,
549,813,272,878,718,515,124,147,219,508,592,803,306,470,346,140,262,381,271,
917,628,382,354,727,859,324,332,334,857,105,739,854,760,523,425,656,669,872,
613,295,961,301,008,667,973,662,476,049,699,891,902,673,042,149,389,039,648,
471,912,110,329,208,889,376,036,641,131,175,798,605,547,704,414,245,969,599,
135,523,609,793,416,051,654,493,520,141,681,707,899,819,676,487,315,954,380,
243,413,583,909,438,645,123,671,169,581,892,171,578,812,881,650,919,377,050,
327,118,301,363,326,706,501,177,875,494,254,939,905,374,177,489,123,277,439,
269,546,069,599,641,498,469,147,171,624,032,348,112,768,718,436,071,124,852,
421,901,639,684,408,661,323,549,343,294,691,731,219,248,461,136,645,623,871,
480,318,666,587,627,170,575,982,331,464,443,188,788,714,165,293,442,708,690,
902,191,939,373,006,343,636,811,181,820,420,146,734,089,239,877,895,247,023,
072,142,890,175,562,852,379,510,945,144,221,080,480,680,058,963,840,388,527,
292,326,726,895,527,312,342,156,246,829,522,879,364,226,892,020,663,241,953,
940,636,812,052,270,427,334,170,043,433,907,786,717,189,464,295,163,133,748,
121,298,050,328,822,191,585,082,950,172,931,196,419,250,716,945,469,968,991,
843,439,616,768,875,712,158,320,491,681,269,827,746,700,554,519,207,690,449,
519,269,080,720,619,277,785,738,900,346,122,750,323,577,969,814,726,422,319,
089,222,537,264,395,026,663,340,995,980,421,811,844,525,546,615,030,260,433,
802,929,932,788,449,908,512,449,068,975,310,834,538,495,501,679,648,670,425,
978,975,422,785,438,901,976,368,931,373,166,436,153,459,549,637,867,078,337,
768,897,107,620,568,487,272,993,297,904,184,209,730,445,924,542,914,522,423,
833,547,058,693,351,453,872,835,090,126,864,573,628,744,358,161,031,780,597,
382,957,496,527,453,450,072,037,520,319,330,311,659,143,282,585,799,776,127,
048,268,220,321,369,131,061,331,293,800,965,958,871,855,082,126,799,462,062,
886,223,563,862,812,096,745,711,235,898,311,607,340,418,160,533,310,159,425,
666,072,724,024,348,472,790,812,213,021,387,343,200,664,493,922,048,012,607,
157,182,610,020,110,093,145,479,540,838,775,484,335,851,646,579,245,162,600,
587,914,703,684,071,002,700,361,569,082,924,078,285,712,949,023,264,668,250,
251,111,899,896,917,922,050,878,058,031,164,572,367,370,735,003,242,978,798,
682,963,675,381,685,432,534,499,697,908,900,662,421,397,153,911,585,103,291,
793,229,736,455,242,193,943,270,469,254,271,077,302,521,447,316,136,317,306,
170,514,254,487,700,593,599,946,960,857,265,080,056,000,370,034,183,969,382,
409,971,150,204,927,175,002,023,023,379,356,071,653,795,796,957,204,160,769,
562,179,558,785,631,526,709,848,680,960,495,699,316,191,416,567,759,077,770,
162,128,002,232,215,254,094,435,671,363,909,221,024,972,144,606,508,164,080,
386,694,066,927,402,293,782,087,050,124,981,595,144,054,079,860,712,250,036,
970,320,694,395,297,467,375,845,239,500,360,309,327,623,959,172,259,155,000,
490,469,530,558,871,941,926,191,608,438,163,606,828,608,594,706,625,656,136,
999,388,993,178,057,971,744,729,030,896,759,469,337,822,233,574,675,270,183,
332,074,405,802,027,757,901,349,603,101,582,409,898,149,097,323,399,619,388,
762,039,138,438,722,270,955,616,860,004,200,693,738,603,299,212,861,111,446,
050,145,461,125,570,646,205,005,053,362,762,258,139,613,485,774,191,616,711,
909,790,476,389,451,422,039,505,535,754,864,630,717,263,798,655,110,149,988,
651,953,343,363,545,558,443,701,777,007,285,321,737,243,146,180,586,795,571,
053,926,706,062,044,567,287,594,811,908,991,414,055,910,306,283,994,356,393,
904,083,736,296,013,994,905,333,079,721,842,428,672,045,264,011,186,391,071,
623,398,308,191,070,653,594,653,147,958,610,929,711,477,438,519,512,242,413,
475,191,429,598,149,149,390,502,884,465,748,542,567,295,166,717,171,563,866,
915,900,471,731,672,164,767,408,735,641,741,367,858,093,914,252,485,902,601,
684,834,802,031,285,862,551,016,840,650,380,987,806,629,193,264,020,245,888,
528,242,618,078,464,673,563,664,448,462,467,789,055,223,202,432,216,579,066,
316,607,390,144,442,154,038,599,769,842,933,760,835,513,043,510,398,964,355,
143,081,383,139,617,072,141,688,769,042,173,480,168,473,938,999,283,985,919,
532,718,984,025,354,428,981,307,374,971,388,643,092,564,828,693,448,469,620,
214,407,604,807,623,996,362,762,622,871,260,503,517,668,542,819,142,885,137,
174,303,677,483,804,921,394,070,942,531,048,393,071,127,848,610,631,320,738,
679,589,845,090,220,479,288,896,629,935,091,784,380,096,205,745,509,418,515,
114,899,273,086,096,928,399,560,992,700,608,779,862,318,998,919,959,314,768,
682,740,405,634,030,228,443,496,332,647,799,223,457,675,189,268,919,857,269,
297,788,542,351,651,203,445,532,011,639,402,260,807,350,474,157,227,259,245,
947,029,393,392,662,165,566,935,579,433,762,454,229,555,573,348,064,786,853,
023,710,311,854,073,424,228,854,024,611,868,255,616,389,259,324,224,699,374,
400,383,075,133,751,385,367,888,957,399,132,225,594,498,607,204,168,138,313,
333,656,323,977,579,464,606,029,525,737,158,097,322,512,296,173,348,479,496,
863,809,124,835,235,686,532,434,294,128,998,819,441,207,300,572,556,454,006,
629,904,800,722,984,839,111,621,483,604,338,011,363,740,911,447,239,201,357,
475,067,598,562,941,378,529,077,581,694,973,169,292,320,074,421,203,690,238,
341,883,872,244,187,565,259,842,670,253,318,872,163,830,183,333,031,109,200,
842,338,838,956,501,175,790,830,815,484,520,660,721,931,597,427,241,486,663,
909,475,666,637,242,886,449,955,330,957,052,517,207,269,758,765,211,430,886,
672,827,468,961,431,934,853,905,691,875,357,832,483,959,779,846,901,968,852,
635,386,926,951,813,572,719,274,339,896,981,334,450,568,105,209,484,909,145,
995,022,726,588,712,345,259,686,589,457,335,100,838,429,265,822,457,794,155,
402,492,171,970,560,092,995,601,072,730,773,563,032,885,496,928,006,310,812,
537,910,224,026,261,222,963,206,757,838,830,470,948,465,068,785,218,863,181,
851,958,340,500,593,607,648,813,991,639,813,717,027,364,031,197,966,112,175,
918,026,899,757,295,600,697,811,467,140,496,369,038,159,763,307,664,795,150,
210,202,454,620,576,049,539,544,789,003,071,751,581,829,090,858,912,779,472,
917,687,729,511,944,161,440,765,661,741,660,426,894,410,052,986,235,953,837,
313,587,829,745,386,758,523,550,632,890,531,769,830,688,569,061,373,651,395,
104,399,141,895,696,434,594,260,956,676,618,711,985,448,811,783,622,380,095,
631,906,218,947,446,891,409,056,607,212,836,066,119,297,953,707,538,473,269,
555,066,839,253,287,116,460,106,204,834,305,153,964,009,829,638,864,320,580,
291,843,689,021,788,597,136,074,089,598,728,132,165,381,006,163,354,528,481,
223,207,998,883,886,987,894,101,877,583,501,353,268,207,426,425,727,488,476,
363,006,263,789,990,442,525,764,038,406,959,921,113,117,865,410,787,429,721,
500,562,570,908,265,505,440,160,545,489,643,811,964,136,521,228,187,899,208,
728,721,187,333,401,233,641,315,101,789,751,929,050,005,889,107,792,701,046,
468,469,486,906,416,605,280,909,686,515,251,675,850,224,572,543,317,662,580,
920,777,709,244,070,932,630,230,659,892,291,059,386,602,684,514,299,771,349,
501,032,299,300,655,918,043,537,810,687,020,215,711,503,529,638,852,694,391,
290,107,373,857,249,508,316,003,444,502,797,302,838,660,576,014,981,390,407,
235,685,395,522,371,570,754,416,291,291,045,784,444,450,555,710,336,608,564,
909,459,921,868,433,067,040,752,439,467,178,514,408,363,957,923,463,757,128,
229,737,311,898,919,824,934,253,072,085,126,847,792,464,610,449,044,871,095,
037,654,131,581,131,362,467,601,552,741,526,169,842,853,849,458,896,454,153,
121,005,728,363,281,036,530,859,127,793,987,519,838,408,781,470,003,081,949,
877,821,566,850,026,780,859,737,368,235,575,906,397,258,079,712,705,158,520,
865,437,135,272,708,346,421,336,702,025,055,944,558,730,120,921,547,056,228,
090,005,323,658,086,369,980,492,574,084,259,699,605,120,122,480,745,037,128,
243,645,969,519,451,803,072,245,802,228,845,938,520,915,791,478,624,304,514,
815,111,880,675,500,630,357,691,522,289,131,404,947,022,970,340,237,679,125,
929,629,462,369,145,454,873,472,942,067,909,503,497,729,588,654,420,686,318,
015,511,762,032,379,539,660,160,713,676,974,281,499,215,711,155,054,318,190,
039,988,351,536,626,603,666,448,768,218,342,512,137,735,086,391,935,372,281,
531,221,173,434,096,661,570,899,087,165,607,963,564,844,081,591,571,216,261,
032,571,486,353,340,088,675,535,703,303,485,623,501,868,897,520,115,470,249,
297,695,145,182,855,364,013,288,607,473,027,895,333,236,810,497,939,472,103,
978,794,622,295,843,849,937,008,391,297,249,215,857,137,432,272,840,159,181,
462,890,284,966,668,245,151,245,541,638,597,983,296,898,915,457,126,742,113,
803,596,583,042,507,853,682,940,528,259,603,678,399,372,853,207,028,914,096,
324,781,399,322,729,675,851,196,193,758,909,840,415,027,835,047,549,842,317,
385,211,357,457,442,236,154,059,562,696,604,482,459,379,291,303,364,028,418,
186,368,325,226,142,546,670,301,455,496,111,732,903,365,968,090,337,120,560,
374,134,498,722,651,516,965,977,006,791,477,698,905,056,758,135,362,038,820,
249,320,018,416,894,976,295,549,385,266,743,470,275,751,729,220,108,728,326,
173,981,082,638,304,761,953,335,504,144,743,838,713,154,537,557,298,504,861,
267,286,027,820,551,667,928,070,306,523,138,921,623,141,238,111,946,266,061,
544,021,727,418,244,031,151,962,950,008,489,663,360,320,070,766,067,805,255,
668,398,342,286,969,853,590,587,983,631,271,865,084,584,443,944,476,818,221,
782,293,978,441,830,798,441,586,185,509,449,738,611,140,825,135,308,684,276,
209,485,412,941,328,834,212,854,607,593,464,877,550,994,455,528,341,567,519,
968,104,813,346,322,625,651,287,977,446,498,731,228,875,046,598,196,404,216,
181,166,042,677,318,600,106,022,940,994,558,936,175,060,880,098,054,292,845,
149,111,716,119,885,198,361,276,365,704,033,146,981,956,217,851,800,616,274,
278,599,231,507,965,661,205,845,910,273,289,257,943,610,633,883,393,996,880,
692,464,352,136,701,605,549,726,761,228,564,330,688,338,137,572,610,122,919,
203,802,295,505,483,125,516,949,693,950,876,397,001,770,287,775,212,117,088,
401,473,233,537,789,624,405,723,459,414,862,547,772,807,525,175,690,841,358,
265,406,547,303,747,457,249,332,639,238,917,601,752,623,798,404,972,887,700,
909,157,358,649,700,703,533,680,379,812,476,134,314,912,503,288,391,341,758,
014,373,093,982,889,695,638,768,283,546,371,000,319,265,104,268,937,490,322,
170,206,315,084,116,383,676,604,499,644,639,026,701,524,235,823,636,783,064,
840,693,355,825,138,414,697,451,714,793,457,859,135,298,353,764,538,079,604,
428,955,252,415,339,027,193,510,467,740,153,110,744,305,273,273,111,089,895,
746,321,808,952,577,568,574,716,072,415,135,864,887,089,962,620,159,283,366,
734,853,090,346,069,208,637,926,518,383,744,565,414,100,553,986,084,377,215,
118,135,601,078,750,429,352,279,597,585,209,800,954,648,015,414,666,584,595,
412,526,548,236,207,835,414,176,020,012,492,037,103,362,599,627,381,763,138,
564,131,654,614,828,876,153,557,234,252,382,686,980,244,320,233,928,218,502,
230,663,207,672,949,136,667,716,691,742,648,114,304,206,703,563,604,017,747,
714,758,773,540,991,472,175,942,657,802,138,377,817,573,749,240,768,623,845,
240,175,156,443,751,714,930,230,581,246,210,202,637,984,975,021,144,259,034,
347,568,565,252,726,364,620,268,555,480,542,037,101,904,296,096,091,688,493,
288,921,119,128,879,726,327,900,275,566,200,299,068,376,857,226,919,839,605,
376,537,903,240,663,712,197,433,697,771,487,555,433,137,662,141,920,473,600,
771,328,660,671,105,263,053,269,618,871,681,883,875,150,491,873,986,630,515,
046,871,849,770,674,575,719,529,615,074,936,810,583,719,035,925,508,521,799,
101,614,704,068,825,721,576,757,093,433,671,557,118,000,579,929,306,679,459,
207,997,626,272,137,601,089,270,926,797,936,496,615,750,145,270,804,470,233,
677,741,898,404,855,008,380,479,674,083,409,797,543,370,023,158,578,506,899,
499,785,627,402,868,939,511,379,948,727,882,266,078,755,882,553,320,366,175,
600,359,936,973,476,336,577,517,629,142,956,356,792,596,894,541,332,374,492,
914,367,727,684,908,777,016,738,212,753,851,662,212,589,697,362,982,102,931,
750,775,863,597,176,295,038,424,797,138,546,839,560,864,292,480,945,285,282,
017,104,820,018,273,865,692,229,634,880,254,038,277,594,175,962,694,794,986,
880,155,562,858,589,201,969,160,476,328,789,969,072,988,284,947,989,908,878,
020,301,307,329,627,414,227,456,360,550,291,126,925,931,636,699,639,512,640,
063,078,497,509,291,768,830,471,931,040,304,590,105,330,691,995,230,350,452,
198,624,608,356,734,884,311,521,787,661,426,002,249,266,213,034,326,721,822,
605,508,918,965,190,695,255,534,195,612,120,569,785,984,507,983,349,236,272,
593,555,332,803,472,063,701,365,995,243,866,636,627,265,996,917,410,468,805,
161,900,276,377,001,890,876,300,732,161,688,027,774,333,697,262,733,468,881,
919,325,232,968,557,476,360,405,181,905,825,441,772,932,384,686,012,625,131,
022,284,799,583,223,950,531,225,863,103,110,847,616,361,607,660,616,820,051,
444,724,451,766,380,151,467,264,194,083,730,723,785,212,915,554,145,166,915,
743,218,100,765,132,366,003,551,917,964,400,832,214,554,085,303,853,093,251,
922,068,291,574,593,955,439,493,279,654,271,104,605,638,833,890,197,991,693,
086,025,000,416,430,986,239,800,510,403,670,562,537,355,370,515,992,189,484,
981,726,136,776,721,291,581,164,057,020,610,730,953,524,967,351,730,157,334,
531,179,304,120,691,362,226,756,419,711,254,761,132,029,099,457,683,252,926,
267,054,592,159,231,316,120,223,359,501,668,386,180,521,857,022,473,143,909,
984,811,109,983,569,721,136,762,806,737,536,502,231,876,613,596,074,773,934,
610,949,057,783,332,614,348,605,767,091,871,167,336,968,938,934,500,953,151,
885,868,069,783,922,509,268,363,632,183,614,804,817,972,632,992,686,914,230,
130,495,648,084,592,737,487,734,362,332,514,023,798,712,696,229,059,139,186,
057,208,986,533,187,855,798,839,447,856,002,963,224,722,285,583,341,628,897,
898,020,891,053,775,219,517,718,890,414,591,524,983,406,130,432,628,207,944,
789,585,141,172,662,592,360,495,082,316,600,120,181,235,021,345,102,876,540,
371,676,149,273,185,522,828,253,393,728,319,825,243,440,005,204,098,711,618,
302,788,720,668,950,095,458,277,725,614,203,258,261,069,564,921,522,769,450,
127,330,490,326,024,033,624,439,424,462,378,196,510,993,604,998,683,194,188,
080,275,743,635,953,990,030,688,057,360,649,142,411,646,561,935,918,003,570,
362,856,187,290,258,399,947,635,099,524,039,128,306,834,693,538,251,342,668,
945,872,677,628,832,075,302,617,175,918,865,230,103,273,645,536,323,634,147,
245,424,651,489,730,238,729,793,101,004,633,018,892,686,543,165,262,432,389,
161,651,533,895,894,223,760,116,882,146,569,609,070,710,504,260,733,842,446,
739,641,573,261,013,575,432,385,536,631,717,629,299,536,228,035,522,644,809,
734,539,814,962,230,906,873,009,492,704,298,151,043,516,552,624,976,703,744,
955,436,633,176,573,786,581,028,471,895,053,350,799,943,090,669,104,514,578,
367,807,033,110,223,021,295,777,194,566,972,232,769,601,259,509,617,104,066,
291,141,353,320,234,075,308,233,975,616,253,908,724,656,647,770,476,816,141,
066,119,872,033,688,958,414,324,020,087,947,980,489,101,718,664,184,249,423,
641,190,099,589,977,192,901,667,757,166,257,426,644,258,047,821,985,715,273,
557,214,125,208,872,204,287,576,687,921,238,441,855,986,416,446,593,735,793,
742,506,951,778,907,423,358,978,819,032,702,866,542,839,950,759,338,846,003,
499,260,772,684,897,241,727,517,697,904,665,284,214,695,178,622,978,410,577,
905,708,275,037,743,212,983,154,093,013,331,377,251,924,292,715,200,539,802,
281,189,696,946,132,519,266,045,303,150,699,769,428,377,395,043,492,817,412,
601,099,806,835,404,525,880,304,844,666,183,004,381,378,817,220,004,521,667,
727,940,590,416,193,726,751,535,752,200,524,111,429,948,739,224,692,892,322,
909,284,639,583,813,039,229,183,588,620,119,041,226,644,785,835,572,065,122,
910,000,915,991,451,742,069,494,976,313,702,700,200,096,953,970,852,428,818,
382,415,773,354,180,295,261,709,139,768,544,431,071,196,654,349,212,566,597,
804,935,318,845,579,548,530,927,995,407,938,894,300,219,993,682,494,664,083,
663,906,877,057,014,582,766,189,936,546,198,338,072,908,521,539,543,867,887,
209,167,121,636,990,787,565,854,484,012,086,401,594,387,472,764,378,066,717,
323,417,365,147,214,315,235,062,607,432,627,747,613,556,014,489,658,232,981,
211,574,518,120,986,723,145,629,910,220,252,470,471,225,983,889,709,130,973,
715,927,538,630,033,039,352,408,743,481,189,902,665,874,585,660,379,750,832,
446,306,366,183,171,826,090,716,506,923,388,869,841,327,909,367,743,052,829,
713,321,708,710,587,637,912,894,995,992,694,101,635,404,702,359,860,702,248,
142,984,778,539,118,572,790,331,805,506,190,803,910,813,707,772,047,788,069,
203,462,790,196,802,964,749,848,613,082,874,762,823,913,826,824,902,404,449,
318,296,088,660,699,268,758,895,998,366,827,763,781,411,306,912,864,854,664,
464,173,288,064,015,379,983,145,759,394,309,227,159,174,833,410,546,365,406,
781,345,901,881,212,457,270,907,338,541,697,550,235,164,879,638,824,837,459,
014,541,438,458,911,640,723,288,801,689,946,872,148,556,866,784,508,517,384,
496,207,274,945,829,360,387,291,744,803,344,353,943,217,385,092,951,798,444,
737,041,794,907,339,973,234,122,845,082,531,400,139,833,553,637,635,607,507,
346,589,562,018,587,629,549,794,970,672,136,317,225,153,189,336,383,188,197,
626,049,141,146,584,444,263,348,011,008,629,868,233,181,312,092,443,063,490,
510,849,069,558,746,103,217,375,433,633,837,291,598,567,322,450,975,368,624,
927,744,106,394,111,093,532,770,403,340,798,681,419,303,642,026,631,173,873,
212,100,878,162,158,655,870,701,688,883,991,055,682,286,808,538,006,377,172,
816,936,900,479,472,314,969,746,210,975,692,599,685,237,297,783,132,786,705,
952,150,344,142,794,788,118,195,082,372,786,406,938,503,560,257,102,121,188,
234,214,975,532,091,824,956,899,318,170,422,549,477,329,965,200,462,082,622,
327,111,038,591,965,429,807,003,084,163,674,306,571,704,650,992,150,365,624,
759,814,723,929,173,575,739,014,653,183,825,902,663,927,731,594,518,755,791,
306,196,897,116,233,264,311,325,960,282,454,598,249,950,238,096,689,259,492,
290,815,310,142,741,382,886,760,632,398,345,068,412,809,168,265,855,841,647,
362,095,545,435,614,642,166,449,821,799,145,478,264,402,084,958,366,540,702,
357,821,728,414,057,820,347,094,466,454,445,097,230,267,966,228,612,326,697,
114,319,568,532,671,462,704,983,658,320,590,145,754,954,813,515,299,640,246,
182,510,105,400,204,056,260,780,086,126,439,972,827,301,734,090,924,600,012,
482,512,080,854,690,484,417,942,286,254,439,535,689,456,495,948,394,684,172,
908,475,462,754,306,980,949,689,151,901,214,522,868,663,794,820,332,924,194,
483,088,706,988,788,814,967,671,377,656,593,800,385,666,957,434,704,455,019,
006,646,158,997,135,725,759,140,617,573,213,538,620,477,374,350,564,989,248,
981,393,854,651,729,737,969,418,513,190,798,289,354,204,147,123,165,826,477,
797,048,974,172,824,072,442,462,743,771,227,154,607,832,466,472,483,417,042,
040,856,386,081,178,128,808,203,038,761,126,613,210,223,837,629,341,811,871,
984,953,037,077,186,405,741,680,957,061,553,544,184,878,926,850,881,897,067,
543,507,206,727,005,009,776,590,073,918,030,380,669,350,935,679,822,337,223,
869,979,547,757,780,550,210,856,824,155,236,756,361,721,149,371,064,421,256,
452,450,699,530,742,526,168,501,405,438,541,027,269,412,049,456,289,510,920,
064,821,406,363,364,606,330,469,559,605,651,188,113,138,918,453,083,230,779,
382,730,776,073,487,586,585,794,922,612,490,899,444,427,854,282,783,848,232,
197,819,074,856,887,009,454,103,940,769,428,319,023,636,041,824,430,321,540,
238,167,136,606,185,050,980,527,582,024,201,034,797,752,585,994,473,556,160,
575,490,846,392,000,581,601,724,251,865,347,452,493,765,981,780,381,927,341,
861,943,184,817,003,713,485,623,243,969,895,084,062,364,533,381,468,045,520,
910,000,406,430,012,203,386,023,551,642,312,163,572,222,587,824,914,508,155,
766,785,608,842,703,561,955,412,215,365,461,685,405,600,981,188,766,428,783,
822,067,204,468,800,149,040,038,602,486,255,701,844,138,860,170,982,961,720,
666,864,841,097,447,883,878,322,047,209,080,545,701,780,608,654,436,497,803,
316,255,075,211,053,605,356,921,241,692,245,567,106,053,032,324,037,059,752,
190,687,552,533,356,550,819,418,909,516,507,142,930,646,064,575,431,052,047,
388,949,147,280,381,068,852,771,784,170,338,971,709,137,709,918,174,118,468,
358,771,647,532,754,066,904,397,010,538,011,705,676,065,962,786,085,586,330,
260,682,887,921,063,382,171,424,620,033,882,998,157,859,233,411,914,318,724,
967,510,213,508,742,405,194,923,920,368,237,806,278,862,348,910,738,975,475,
752,919,647,681,441,015,976,887,956,891,789,729,038,772,944,720,531,498,178,
577,867,007,801,955,667,492,727,235,230,553,442,729,784,113,914,116,745,700,
975,223,904,620,822,222,451,694,491,337,311,501,920,516,912,677,836,191,354,
003,899,078,860,954,246,403,021,090,019,115,998,908,866,341,085,449,079,072,
060,797,943,747,224,980,296,759,313,897,684,763,133,527,395,731,429,224,641,
038,651,867,612,805,457,724,557,622,547,454,995,256,305,462,787,170,060,328,
270,243,152,170,861,470,321,878,109,030,452,784,365,849,419,901,326,757,360,
178,114,743,538,275,891,557,702,171,281,381,667,546,633,849,681,820,641,564,
628,659,773,040,379,832,187,286,560,016,036,518,693,155,204,631,907,861,005,
321,319,073,373,872,431,337,413,167,767,958,094,969,235,637,712,103,550,450,
441,278,563,565,370,555,111,774,236,765,603,275,405,564,573,096,353,680,880,
461,376,040,698,425,141,831,140,151,503,644,483,504,123,017,527,929,438,785,
745,223,680,326,076,690,550,059,326,096,782,598,338,471,388,601,334,644,106,
031,935,687,231,790,815,406,048,917,405,175,459,365,741,871,454,635,045,842,
835,681,175,486,952,907,036,648,125,954,530,503,206,096,543,363,345,304,362,
424,689,995,970,967,453,841,768,089,862,053,851,308,908,321,994,223,914,258,
753,107,445,489,007,085,125,507,481,932,052,716,025,384,387,688,702,998,720,
733,632,958,224,919,415,980,280,312,199,714,142,010,196,338,626,537,686,998,
765,840,712,662,900,623,734,627,788,742,700,324,225,345,606,344,493,372,796,
645,293,545,328,967,841,481,042,235,695,030,886,546,557,527,158,261,747,967,
316,805,766,239,786,490,732,358,555,126,700,994,849,756,830,648,575,624,986,
476,820,272,776,636,329,267,296,502,292,967,538,263,518,349,846,698,543,606,
888,857,773,866,124,657,945,701,280,625,428,418,851,264,265,160,694,645,310,
000,858,331,178,783,387,050,213,211,327,503,721,367,809,952,821,606,269,729,
480,922,761,766,598,574,624,582,268,722,212,100,018,174,477,377,463,375,838,
632,573,486,540,369,309,956,614,392,581,482,695,291,872,351,229,209,546,349,
979,325,020,113,021,102,278,346,424,124,865,747,024,689,564,562,605,383,131,
326,317,121,932,877,602,401,484,183,972,651,139,315,030,767,783,450,876,717,
025,171,058,077,733,014,360,716,293,561,647,927,501,615,149,187,367,351,924,
468,072,485,166,501,395,401,755,857,948,496,278,695,332,570,069,357,232,904,
288,288,463,409,502,813,291,080,183,733,296,224,500,653,344,855,744,001,854,
059,835,603,284,328,535,648,252,390,596,118,250,323,275,899,978,618,087,340,
214,952,664,980,558,566,547,912,825,991,384,980,658,960,636,285,766,759,388,
073,364,600,279,008,361,310,218,200,258,734,377,087,220,499,159,377,306,464,
584,558,139,246,061,472,772,542,177,343,842,616,138,821,317,313,037,012,489,
639,295,596,087,054,077,919,761,732,601,842,153,589,249,818,595,613,321,401,
475,099,526,929,621,233,742,055,236,650,017,913,882,271,011,770,183,563,555,
032,125,194,209,324,574,963,218,707,849,172,847,459,563,988,618,332,004,958,
903,978,437,798,036,710,338,714,817,426,741,990,845,980,310,300,507,592,727,
843,764,881,283,252,459,639,034,815,769,958,843,507,159,035,586,822,879,070,
796,647,833,368,885,375,691,733,577,250,752,732,327,455,980,075,901,851,346,
583,384,823,106,387,646,034,691,607,510,383,438,866,562,009,515,806,327,108,
473,130,320,264,958,766,144,414,599,421,042,480,436,578,446,739,850,625,817,
293,113,611,233,799,080,419,894,886,374,340,721,360,861,582,172,173,238,758,
166,556,852,174,108,447,727,445,784,841,844,372,873,528,029,949,907,522,527,
960,069,009,523,017,152,689,182,291,250,654,510,886,250,410,085,345,257,339,
117,389,138,187,439,203,297,159,013,253,965,626,905,363,594,112,911,142,127,
495,736,558,517,843,928,181,002,160,384,410,054,418,076,622,797,823,005,256,
358,962,028,504,608,634,972,831,422,882,419,021,318,852,748,474,859,337,331,
228,868,135,570,795,046,657,908,593,653,845,012,324,509,926,150,720,405,158,
337,012,981,195,009,220,080,202,978,522,220,530,722,756,496,508,253,920,861,
702,686,688,553,508,069,301,636,617,750,389,413,033,896,421,801,689,321,095,
710,508,268,153,818,124,790,374,350,873,097,045,288,062,128,751,149,620,906,
114,603,275,101,072,475,503,111,901,277,483,946,687,244,995,939,087,847,228,
863,608,829,922,132,701,957,225,860,923,603,249,676,344,938,610,399,821,818,
897,675,502,811,170,358,459,426,902,882,108,599,703,336,574,185,934,696,649,
150,217,190,410,164,201,295,679,112,145,142,329,674,390,262,832,727,532,711,
528,147,907,127,587,857,210,743,244,197,944,190,023,608,208,732,476,368,091,
442,742,199,664,459,200,847,922,790,503,323,551,230,085,737,403,653,907,786,
107,888,734,218,395,356,779,829,504,380,627,415,339,591,319,921,626,911,992,
334,708,796,191,003,872,116,145,360,634,207,779,323,300,091,099,106,760,408,
340,976,615,100,202,999,888,036,006,892,557,379,103,350,996,675,514,433,091,
863,053,957,444,769,972,590,548,493,539,745,093,212,456,240,008,578,068,554,
283,045,141,357,023,779,312,073,020,938,952,000,881,691,608,382,361,753,835,
488,262,575,850,552,643,636,896,128,640,001,774,341,604,949,383,231,060,923,
430,041,214,306,453,948,177,555,372,595,418,071,889,495,883,930,026,345,081,
956,781,153,749,473,922,875,263,938,272,187,204,037,928,023,765,100,797,616,
703,195,221,977,666,738,833,481,378,803,276,995,230,647,930,354,097,644,140,
476,719,787,382,529,996,218,116,995,097,913,228,123,831,837,791,259,765,368,
383,468,874,730,118,858,821,309,628,291,559,942,758,414,224,361,099,682,091,
528,486,956,641,615,719,513,566,391,389,723,791,921,823,727,854,796,154,271,
070,915,194,993,206,375,825,742,392,948,431,441,045,547,990,377,399,131,760,
023,552,477,060,995,988,502,134,032,737,473,955,342,044,510,226,835,607,098,
959,775,353,272,917,161,798,860,352,705,567,343,284,031,960,494,073,828,125,
773,534,040,998,194,365,359,244,313,352,615,534,904,696,986,205,665,510,415,
618,711,227,563,337,465,113,622,942,852,784,513,272,908,774,350,674,934,402,
786,220,712,186,594,149,649,434,348,680,826,732,426,134,458,640,585,033,525,
182,619,980,056,569,585,884,852,401,302,658,121,603,154,394,149,434,993,678,
868,350,283,624,803,029,361,062,487,507,382,096,375,220,027,530,646,705,095,
714,964,816,672,677,175,999,747,069,339,011,589,338,509,724,311,289,014,224,
066,648,277,740,136,951,589,481,928,106,605,771,564,414,922,437,831,391,992,
894,339,572,199,735,165,315,312,569,285,848,810,035,618,841,506,314,299,237,
584,602,301,189,200,886,117,818,992,182,436,723,370,114,378,429,429,081,976,
574,006,677,369,661,642,547,382,815,350,183,373,560,255,494,668,020,486,772,
186,779,393,989,608,136,510,837,250,563,833,150,164,876,968,155,379,714,707,
648,850,233,886,872,522,873,559,928,536,325,063,902,138,159,891,062,858,936,
486,273,007,125,420,183,899,679,714,507,909,765,085,714,960,870,577,308,002,
622,689,437,072,886,917,172,771,649,061,232,928,347,984,124,521,540,766,332,
780,079,414,066,131,840,263,807,337,142,606,103,226,903,592,672,822,459,128,
144,972,310,851,644,073,379,594,981,545,752,249,618,471,112,656,839,245,789,
414,580,588,494,015,221,528,165,060,002,423,433,320,601,034,447,565,471,279,
528,111,139,078,579,089,234,076,452,882,265,861,968,223,290,468,596,745,610,
743,226,620,981,834,381,659,571,933,674,782,961,378,508,900,962,822,540,949,
572,560,221,965,428,217,627,307,634,135,055,949,073,715,259,720,227,823,040,
089,240,727,212,017,954,686,590,542,472,043,266,446,055,394,087,253,703,318,
651,819,920,379,615,252,855,092,269,623,899,835,651,052,058,755,639,976,796,
547,428,014,473,913,400,159,137,922,342,793,856,293,995,113,792,504,832,677,
266,826,190,955,722,033,555,453,292,859,467,434,878,730,218,155,747,160,085,
384,699,051,071,798,406,180,600,647,175,913,928,011,956,887,918,418,764,239,
966,953,277,191,661,540,276,314,973,001,380,025,363,072,825,484,711,581,588,
033,402,925,567,403,375,799,601,418,571,377,570,295,252,626,269,274,949,780,
486,433,274,489,740,482,038,894,497,691,058,171,750,332,483,017,380,130,530,
316,331,443,433,082,524,731,186,268,013,587,090,867,492,426,451,557,705,508,
816,425,496,106,252,885,949,934,973,329,115,582,381,539,271,947,511,324,649,
345,492,596,684,884,656,886,546,094,057,286,192,834,853,866,650,438,464,303,
535,715,989,761,610,076,516,339,242,812,532,755,974,113,473,980,357,422,973,
995,638,214,119,129,621,003,839,021,831,272,481,606,680,655,300,002,262,471,
935,254,346,380,964,113,284,048,793,530,574,753,595,296,608,774,269,093,552,
493,154,638,257,331,741,282,445,027,370,122,627,295,667,006,191,804,305,030,
063,465,564,703,216,016,377,515,572,672,782,441,346,564,733,345,090,664,588,
674,876,525,608,796,201,459,899,512,964,687,114,308,808,854,329,327,161,518,
097,122,630,841,645,227,490,256,550,581,008,986,848,433,172,594,676,885,758,
542,869,389,840,499,002,052,681,465,588,255,426,604,201,222,258,282,323,009,
483,499,900,496,592,576,853,717,116,823,366,791,599,900,883,516,475,768,830,
615,564,841,373,101,099,935,941,125,302,499,162,887,847,794,821,748,592,916,
473,855,479,719,996,943,319,418,939,899,648,541,874,173,510,519,627,380,532,
755,132,242,507,239,014,781,265,117,275,298,705,520,739,187,248,297,403,566,
794,559,157,096,736,073,489,519,162,607,710,790,101,488,144,514,418,736,130,
324,001,134,404,404,652,187,333,632,132,873,116,118,408,107,972,775,649,919,
812,285,677,245,276,423,823,318,134,684,055,512,637,412,091,120,605,122,658,
285,457,360,584,283,927,381,190,934,486,992,794,327,281,342,844,210,141,475,
309,036,754,290,401,822,152,226,763,958,413,398,002,992,967,466,004,086,569,
696,751,725,251,916,947,697,178,725,009,665,284,845,219,735,273,115,644,515,
951,967,980,811,125,089,919,764,210,010,888,839,053,887,311,627,518,719,460,
011,805,064,708,497,053,148,273,762,384,639,496,446,161,832,819,226,587,101,
782,829,856,836,881,125,554,568,645,365,714,947,192,673,801,791,693,266,955,
551,922,519,152,083,102,343,374,859,907,318,466,241,618,218,275,341,269,464,
893,719,240,172,559,009,502,338,587,888,500,678,876,030,931,212,371,422,728,
040,920,170,617,486,654,475,845,991,647,015,725,214,526,524,117,738,428,120,
373,811,246,754,035,285,423,843,734,037,002,721,180,674,867,836,674,977,755,
480,250,283,958,352,169,681,332,645,845,797,718,814,630,457,839,820,287,991,
283,678,543,372,666,250,503,102,231,561,207,621,322,546,464,106,343,043,094,
426,335,425,593,681,271,729,419,198,272,371,300,349,736,718,663,473,617,822,
423,608,139,339,840,744,734,808,353,957,642,209,626,646,363,518,049,876,307,
628,470,486,559,370,713,216,027,837,049,853,269,766,508,020,609,774,942,005,
216,503,398,563,115,415,672,705,836,311,598,524,199,167,180,386,799,535,829,
397,415,194,618,840,879,490,594,023,884,613,246,055,128,192,007,503,886,649,
111,439,518,542,299,476,982,861,403,419,729,464,786,779,006,714,931,476,275,
329,970,082,358,685,696,776,938,074,409,167,330,652,608,546,007,463,014,001,
162,215,478,580,826,242,583,952,601,110,087,795,881,956,939,200,422,003,162,
747,293,987,656,151,837,321,813,866,451,796,637,413,476,178,896,443,720,567,
820,139,331,156,894,135,866,723,025,348,313,951,758,878,271,089,386,558,933,
856,338,836,109,946,644,156,736,206,544,063,620,387,706,576,923,455,609,872,
876,644,524,996,762,628,751,151,047,244,902,828,696,614,188,478,058,469,676,
483,262,209,384,208,555,139,176,640,245,697,018,220,512,201,111,469,939,976,
491,269,039,188,487,694,286,161,160,601,425,760,388,331,890,143,914,070,929,
449,587,862,631,638,962,524,558,994,561,979,774,403,732,183,346,710,794,327,
588,499,426,286,460,038,294,823,742,255,207,471,556,162,282,145,029,516,853,
674,191,420,757,600,210,201,094,231,625,546,853,570,835,895,712,757,170,450,
214,236,272,584,543,206,514,759,561,365,530,880,436,703,293,964,789,517,030,
747,081,822,995,141,245,579,241,417,684,148,465,947,369,512,192,393,414,166,
437,662,584,696,051,147,698,566,586,680,317,716,062,916,398,984,337,604,440,
842,948,126,504,238,645,430,887,341,566,628,499,299,955,047,028,710,917,751,
751,842,967,992,843,340,861,340,307,493,112,273,614,763,034,682,776,373,667,
629,365,011,387,220,819,932,846,756,876,057,451,022,834,845,739,417,295,278,
397,559,289,924,936,765,004,658,725,121,313,368,477,137,349,535,780,771,096,
267,553,487,012,069,390,424,404,857,278,092,304,861,273,388,720,788,519,785,
875,072,649,729,453,589,019,353,933,683,287,622,006,454,600,264,975,818,555,
321,627,051,294,135,579,126,827,904,158,525,298,334,115,658,583,332,216,256,
702,540,870,783,633,435,197,336,172,527,615,450,795,816,017,978,397,769,517,
941,599,212,415,130,239,564,542,654,317,187,536,347,967,177,041,138,393,893,
851,160,375,496,551,278,771,520,532,743,908,658,926,745,682,796,128,600,200,
326,230,347,954,777,643,877,583,994,691,396,591,161,025,591,372,335,918,280,
091,853,430,840,470,209,658,743,805,306,388,332,269,175,569,917,873,200,020,
559,043,135,815,199,704,954,917,296,906,588,582,840,759,626,348,806,174,955,
314,734,997,567,673,809,646,691,769,312,411,118,232,525,142,425,638,269,242,
034,599,244,009,485,808,409,279,456,640,142,199,704,366,210,074,082,454,652,
313,155,681,416,060,420,017,763,265,326,750,456,017,699,299,452,904,093,416,
185,725,633,593,933,345,473,259,098,850,465,490,474,297,343,641,566,867,845,
518,244,535,704,416,014,249,120,658,828,097,311,002,689,248,903,433,640,940,
925,917,639,176,975,694,354,975,003,964,196,469,078,154,694,785,252,889,786,
640,057,616,956,732,266,396,024,594,616,718,794,286,916,542,229,046,041,599,
172,145,992,495,824,104,013,061,496,426,619,797,568,646,494,443,377,026,428,
062,360,395,366,243,198,304,567,655,625,120,448,211,290,004,406,793,819,092,
230,132,080,964,148,442,767,537,786,821,363,990,443,732,094,666,632,797,476,
026,937,210,057,812,964,022,795,317,283,924,412,267,151,928,689,874,191,925,
205,307,969,376,528,704,442,181,812,097,708,736,568,969,943,480,425,954,332,
219,854,163,043,896,187,904,904,572,922,498,768,477,437,962,059,919,078,732,
848,804,723,132,651,916,705,246,170,443,297,757,297,913,104,860,560,685,825,
156,387,918,061,880,046,689,834,460,105,742,921,959,553,039,531,152,823,974,
087,483,981,978,180,816,846,919,844,895,115,797,868,987,714,481,411,917,925,
841,217,791,875,614,488,592,978,326,501,485,279,111,180,119,359,373,301,787,
303,230,534,932,260,449,576,518,214,180,142,932,463,018,068,439,746,069,285,
009,246,403,622,567,944,776,001,240,548,334,410,537,813,870,235,633,299,115,
574,242,427,559,265,788,478,005,333,564,458,379,017,316,218,042,106,875,676,
118,505,552,145,218,825,952,513,421,483,054,041,228,262,447,408,760,598,529,
094,669,413,737,594,807,671,578,217,877,698,391,213,599,253,454,445,224,984,
514,189,738,023,860,380,669,944,096,962,211,160,939,043,751,587,641,834,604,
857,787,940,258,422,081,117,945,044,640,845,744,144,962,812,373,913,469,816,
391,850,812,766,326,975,084,629,319,948,762,085,505,762,594,064,598,061,168,
788,974,570,606,913,892,302,779,908,433,534,389,907,893,771,668,946,156,996,
765,162,389,061,848,296,821,387,825,632,398,727,066,464,040,259,124,462,781,
386,272,545,558,621,170,252,625,793,542,930,618,983,914,628,102,385,851,789,
750,260,742,533,915,259,110,129,100,827,467,791,407,281,545,120,719,014,484,
645,801,901,948,940,746,228,357,239,042,715,561,666,249,807,924,935,247,024,
034,373,376,770,256,911,699,598,647,337,671,731,177,152,282,851,809,802,470,
885,589,507,222,422,951,392,955,459,217,960,692,100,026,165,955,127,657,306,
375,361,237,059,047,778,152,112,411,966,855,010,354,674,360,604,462,338,068,
321,142,628,711,836,235,688,336,455,531,024,110,694,547,140,366,202,570,541,
007,426,716,900,493,241,805,537,211,896,650,154,961,706,394,621,839,202,973,
960,353,260,981,311,197,642,177,474,664,464,368,039,013,309,286,955,309,623,
439,248,759,086,436,795,936,344,457,536,053,439,782,551,674,167,358,342,120,
571,224,793,976,134,967,296,477,185,641,819,498,462,874,170,643,615,662,015,
076,570,766,757,543,379,837,857,729,220,117,196,152,558,854,510,534,579,294,
882,198,096,260,006,901,434,132,633,976,484,128,453,243,376,472,794,933,023,
565,603,837,251,287,022,387,666,052,329,013,121,317,569,899,151,048,372,982,
076,335,438,674,018,892,922,350,656,739,396,842,318,026,990,161,304,130,907,
659,303,760,219,043,808,638,131,958,490,745,718,039,034,055,364,254,418,176,
123,177,563,548,950,422,507,322,392,334,849,039,005,303,625,160,358,440,856,
744,751,667,769,752,553,836,541,174,525,108,307,894,400,086,392,140,847,159,
492,035,968,763,308,888,129,998,945,171,932,499,944,275,973,062,215,739,940,
040,552,889,314,868,080,031,281,677,344,398,659,689,951,057,939,108,717,819,
954,248,926,205,097,956,869,977,935,982,829,650,817,862,634,516,108,767,814,
177,739,071,400,921,829,678,982,642,835,930,422,684,042,461,147,596,985,996,
265,559,100,490,667,318,212,797,362,518,706,016,063,299,102,441,678,255,648,
078,539,761,659,610,127,727,575,087,477,694,052,247,221,867,404,338,705,014,
404,295,520,772,589,753,474,274,261,521,064,710,299,252,917,720,248,041,346,
677,395,936,413,495,064,078,150,057,630,868,903,554,233,606,509,085,265,092,
821,627,745,683,869,596,050,313,875,322,910,557,876,540,488,802,155,841,795,
606,537,741,796,857,529,627,347,496,576,179,637,419,338,532,513,839,678,305,
079,382,015,224,007,529,729,814,890,075,088,467,635,229,612,224,315,004,420,
921,989,489,161,629,512,476,408,343,269,421,404,896,910,112,393,815,334,611,
859,705,572,919,550,591,057,491,463,184,285,490,085,725,213,226,697,629,840,
798,735,536,681,756,336,040,391,620,187,082,881,363,351,592,039,510,194,994,
081,117,715,066,213,353,170,077,599,579,701,913,820,428,426,224,243,610,022,
364,269,807,643,535,390,184,155,435,401,690,027,412,933,572,828,985,314,108,
209,351,944,073,073,143,428,882,167,735,007,338,628,328,300,128,509,812,010,
677,865,500,323,265,787,069,563,988,363,183,028,858,677,921,205,069,310,919,
023,768,702,190,590,755,618,217,024,683,419,559,352,472,259,295,138,159,339,
454,552,037,955,630,117,088,992,329,738,140,879,022,229,256,251,588,076,163,
473,190,337,569,487,651,772,236,059,612,551,675,195,786,185,534,459,320,376,
254,976,055,602,303,467,822,151,464,463,554,471,037,431,857,466,158,101,997,
860,143,694,637,350,396,108,522,445,764,709,940,440,637,258,072,655,166,350,
472,555,515,818,303,575,720,163,472,376,845,776,095,018,299,902,333,730,575,
670,169,058,224,871,651,250,317,283,100,016,129,705,445,759,519,754,811,143,
345,497,711,524,080,727,688,355,200,563,797,620,648,029,964,552,825,238,214,
888,517,833,734,292,582,927,958,357,710,884,063,598,939,329,631,455,705,727,
956,361,731,364,013,615,131,001,782,845,992,114,147,187,821,201,091,689,038,
298,608,303,172,090,125,998,540,071,806,747,101,199,400,387,526,749,670,562,
380,499,358,738,017,691,267,705,386,861,270,575,029,195,644,148,400,346,854,
201,819,872,489,517,410,588,110,780,970,671,760,057,839,731,609,320,503,264,
416,496,303,300,145,995,638,997,320,459,505,810,743,915,499,655,723,380,733,
749,843,924,652,215,159,791,330,596,081,380,009,392,202,332,065,283,127,459,
930,034,472,119,660,952,692,655,147,646,045,976,483,684,155,423,134,379,395,
133,331,374,968,731,334,506,799,084,782,865,205,370,648,178,371,104,500,518,
579,198,970,877,357,033,228,542,456,774,500,124,221,189,308,178,882,059,465,
485,855,503,402,410,156,353,312,693,266,437,806,924,328,144,909,761,501,759,
687,915,458,137,812,609,103,448,488,175,035,065,229,692,158,812,257,436,072,
312,234,871,904,092,169,203,441,503,556,164,061,407,668,590,982,357,903,768,
894,188,962,718,928,780,989,454,141,800,743,884,111,379,283,543,876,924,628,
623,544,983,682,496,883,313,860,402,374,920,238,222,876,991,335,673,028,175,
419,869,428,425,176,716,028,692,259,477,478,053,732,347,675,853,321,229,237,
338,049,337,003,728,477,944,745,900,640,174,367,100,544,964,764,351,933,918,
123,512,325,473,722,377,440,509,959,195,837,877,786,645,804,695,243,171,893,
013,837,304,451,119,860,597,291,081,369,718,671,252,249,421,179,691,713,404,
347,940,205,746,890,197,453,331,642,612,631,451,084,601,160,668,426,308,486,
742,421,934,257,230,946,773,338,672,961,541,055,359,697,478,758,768,769,502,
765,784,630,671,513,207,305,906,222,106,993,804,114,435,398,318,661,757,476,
728,366,839,757,216,516,234,962,103,349,796,270,582,811,851,875,970,295,227,
676,012,451,141,379,607,979,594,890,720,539,997,911,551,743,745,773,146,286,
971,991,427,880,462,016,159,117,776,012,275,849,048,188,348,362,809,371,775,
136,644,102,450,595,548,198,546,234,814,713,281,819,882,343,477,263,172,871,
086,730,579,274,094,773,271,828,463,158,141,902,130,545,116,379,557,183,189,
421,619,244,163,234,165,842,603,764,915,399,665,282,853,254,347,573,335,212,
852,702,993,595,915,306,186,206,527,908,551,995,904,654,626,356,326,686,807,
271,822,835,306,632,207,938,637,395,339,173,491,020,650,228,028,590,755,825,
904,515,501,313,358,252,464,341,151,684,169,181,217,723,667,760,851,238,863,
256,244,707,587,094,954,135,636,977,268,297,209,962,102,996,499,150,120,957,
573,226,012,000,692,559,551,350,913,915,682,155,979,905,492,445,131,698,314,
608,124,113,762,738,377,386,057,476,038,803,861,467,728,642,389,597,572,879,
798,372,178,647,767,680,268,125,161,353,352,106,498,861,921,100,873,434,205,
646,439,280,520,499,510,898,971,745,074,027,757,968,701,311,850,770,669,355,
335,919,032,521,796,621,731,491,668,225,147,763,504,705,374,832,217,987,002,
011,884,229,760,425,200,003,153,833,762,204,271,098,581,922,602,806,646,762,
501,366,498,868,423,214,620,371,450,877,588,897,127,091,184,337,037,865,229,
794,533,716,959,336,183,853,893,156,531,802,495,759,106,034,776,311,759,786,
030,494,208,909,355,794,944,396,157,460,938,459,988,292,051,936,062,010,723,
655,243,364,680,336,808,852,013,580,767,583,713,569,957,744,738,052,879,254,
654,785,956,995,226,305,862,025,828,304,591,077,588,478,010,695,338,727,939,
119,529,924,650,119,628,714,439,535,210,278,890,596,292,417,553,401,229,354,
323,820,369,208,415,525,679,339,245,335,940,541,170,691,684,320,297,422,324,
511,421,060,209,517,936,513,571,516,578,128,252,274,157,412,986,064,987,746,
092,982,945,966,553,918,009,706,439,949,085,343,846,326,322,436,059,116,949,
633,470,234,950,946,385,951,543,098,910,469,271,704,506,061,063,967,214,592,
708,251,609,115,218,255,702,996,290,507,121,382,436,084,703,655,705,048,918,
550,641,547,656,420,029,710,143,571,966,143,720,697,749,107,129,384,748,099,
527,666,150,097,886,499,930,368,449,575,890,326,114,269,587,287,699,681,832,
793,251,726,530,823,004,927,685,686,492,564,890,773,871,691,607,786,718,856,
629,038,755,176,973,156,419,155,088,045,033,305,547,643,154,187,280,337,612,
820,945,366,812,170,751,272,890,785,544,118,079,202,252,645,501,785,308,442,
084,842,346,825,075,258,966,282,535,285,988,177,897,034,184,440,680,668,495,
535,511,612,496,188,504,994,788,228,468,397,140,383,345,555,240,536,171,083,
481,412,845,815,215,100,921,349,838,526,628,027,271,224,264,005,538,094,439,
227,693,508,658,229,046,263,214,040,626,985,935,254,055,358,273,078,837,606,
052,090,908,388,144,175,965,923,474,009,052,371,628,128,826,956,092,150,074,
966,815,560,927,858,723,381,900,273,355,532,957,535,559,386,436,203,717,877,
217,772,618,148,916,725,549,443,885,121,687,510,404,816,218,847,725,758,548,
365,804,948,608,298,701,528,584,029,625,934,775,638,661,856,897,100,551,841,
962,269,579,864,886,861,982,478,901,710,039,096,646,025,087,033,771,150,074,
027,424,793,340,211,061,011,293,794,575,545,304,056,987,109,244,254,433,973,
971,649,081,999,931,868,024,923,565,999,497,327,654,252,890,134,443,586,453,
659,136,377,984,827,533,382,592,414,185,006,247,882,296,039,656,708,975,538,
493,307,796,545,709,978,283,780,747,114,676,685,804,380,305,298,237,796,403,
406,231,276,020,880,970,404,780,361,661,352,858,100,175,819,357,747,970,916,
001,210,284,124,341,423,264,273,654,808,016,150,337,492,301,048,922,983,238,
681,599,177,596,340,060,105,870,228,066,586,423,198,180,226,976,273,383,208,
989,031,694,425,333,785,050,457,527,415,621,785,494,360,803,123,312,160,456,
635,279,223,243,150,747,510,430,911,009,359,797,925,508,368,175,474,333,262,
209,635,346,579,577,980,924,153,097,989,513,053,170,467,988,879,116,202,068,
015,614,216,078,305,759,080,096,890,646,895,506,808,894,342,535,224,369,883,
791,771,798,403,856,753,761,086,256,830,292,402,068,790,949,876,311,721,445,
218,931,265,888,364,481,709,384,887,391,766,655,732,853,700,962,072,814,179,
449,927,956,162,154,616,204,519,216,615,765,424,721,710,639,898,218,821,831,
291,752,625,399,466,422,180,589,014,538,679,427,925,302,300,121,485,710,896,
518,213,839,278,144,376,771,976,997,777,713,474,046,549,629,940,350,916,214,
073,032,155,669,753,321,085,215,422,896,827,849,069,688,414,225,563,567,704,
730,669,385,273,837,937,295,376,469,324,185,561,288,281,641,783,064,899,369,
870,471,224,458,643,555,528,798,226,271,367,130,611,993,180,106,158,574,336,
503,645,919,448,665,319,493,697,524,676,414,654,012,538,499,198,539,095,278,
189,919,325,278,557,603,445,838,076,339,273,356,043,838,492,885,219,313,119,
210,756,047,828,504,618,031,641,742,963,962,980,954,865,579,541,253,362,548,
734,278,267,638,789,057,531,422,401,560,059,864,094,587,175,855,382,355,705,
988,670,081,841,441,598,084,632,728,231,673,890,557,733,838,384,754,214,179,
191,955,504,016,178,109,474,370,136,983,264,196,657,562,277,745,448,466,228,
103,695,837,911,851,645,440,217,896,866,862,050,337,150,764,165,496,678,554,
283,661,706,205,077,294,685,826,920,872,603,169,400,797,886,858,402,643,420,
387,062,438,547,628,539,462,356,450,640,640,590,806,932,977,252,948,915,375,
128,740,920,764,019,309,301,094,913,069,370,268,019,313,625,936,292,078,213,
076,896,498,032,959,646,473,699,377,986,210,956,824,638,560,155,688,616,367,
327,169,684,994,007,803,867,876,606,725,490,106,544,276,719,337,304,993,298,
216,697,314,506,502,015,013,612,277,516,213,904,520,910,643,776,163,560,035,
921,086,492,966,945,907,527,277,437,133,850,168,435,801,610,254,164,148,542,
744,225,641,236,424,318,807,251,883,570,710,111,424,319,476,938,211,481,354,
440,621,041,839,872,560,933,145,859,088,973,636,506,611,255,929,758,567,082,
537,306,608,657,276,891,801,690,447,122,546,651,986,944,946,598,092,070,562,
126,910,298,936,054,583,586,146,219,627,867,677,223,470,589,001,583,016,273,
922,529,959,418,218,651,455,668,664,974,967,667,992,202,805,920,763,161,172,
011,350,550,783,028,833,811,189,319,387,846,940,693,594,309,462,638,513,650,
102,438,556,517,253,339,876,316,987,856,645,570,774,415,525,205,929,827,542,
042,460,192,067,550,893,001,924,686,789,711,944,016,133,780,508,679,343,920,
821,934,000,127,494,888,165,528,963,403,621,834,184,630,975,675,190,712,321,
514,027,281,841,090,781,884,632,858,011,428,101,719,382,173,820,803,655,089,
475,975,714,277,928,121,091,418,005,755,535,691,555,445,404,266,556,016,728,
219,852,614,671,878,722,741,812,683,598,245,537,618,305,458,809,412,699,676,
981,544,753,768,045,515,514,969,296,528,066,892,774,025,890,398,393,941,497,
505,091,409,920,792,675,938,145,051,783,736,873,295,008,947,205,853,209,755,
188,089,799,008,353,170,636,390,061,139,332,935,538,808,427,315,583,343,472,
498,195,383,104,411,137,153,975,376,319,266,461,105,549,926,358,466,971,822,
313,402,823,787,424,943,755,991,047,782,929,982,622,201,151,185,168,840,824,
251,723,017,538,248,780,915,146,385,652,510,059,490,054,637,721,705,248,877,
668,392,265,289,067,718,134,444,502,938,775,144,583,774,238,615,826,317,060,
232,326,807,742,224,662,491,487,813,068,576,715,537,097,778,227,058,721,455,
914,822,522,841,384,290,780,053,000,451,008,352,047,605,713,990,483,040,127,
228,598,681,991,742,529,199,753,943,724,559,557,267,601,215,390,691,589,106,
095,189,592,433,183,856,684,988,009,821,118,949,631,784,980,880,836,328,324,
670,308,706,137,016,677,639,405,108,663,174,248,973,338,203,526,512,790,031,
880,310,420,459,501,976,063,630,169,961,951,879,419,256,010,296,638,246,996,
173,052,859,926,889,624,669,745,366,429,834,963,735,895,897,417,849,765,787,
779,605,770,080,834,430,543,057,337,315,159,163,838,754,224,746,518,497,344,
896,038,384,929,125,201,945,888,409,982,744,124,832,105,475,848,819,715,914,
789,540,712,274,127,811,212,439,660,822,723,776,901,591,801,076,067,054,743,
924,584,950,940,329,694,678,231,055,217,546,897,590,297,846,828,530,649,238,
279,354,422,416,237,568,111,922,726,998,454,741,573,064,229,637,498,187,616,
019,047,043,907,955,669,961,488,854,035,165,357,103,381,447,777,556,194,239,
283,492,851,691,865,877,433,785,043,898,500,585,198,347,753,162,456,513,113,
176,895,082,670,689,691,423,307,527,927,353,925,361,141,769,267,066,891,957,
647,878,367,579,015,164,277,170,433,329,177,957,647,016,123,080,793,393,884,
319,221,077,762,434,056,740,171,763,038,869,392,492,357,991,359,493,039,897,
822,733,068,765,024,631,142,644,398,669,197,532,251,912,884,672,408,697,799,
141,380,040,400,802,747,382,121,016,283,799,999,565,837,406,885,574,946,300,
346,980,786,922,432,521,916,178,285,065,926,661,629,284,897,291,579,122,290,
975,015,082,580,051,625,597,214,924,142,114,678,738,931,688,063,788,594,473,
047,636,762,749,782,282,797,662,006,017,286,369,268,419,107,801,879,843,580,
756,864,190,263,802,425,599,459,450,188,141,873,789,223,394,336,994,764,558,
712,147,937,447,289,732,165,138,999,957,467,725,648,038,012,202,917,844,592,
573,582,092,073,231,506,552,447,025,114,155,528,698,184,241,443,366,923,039,
921,329,268,076,456,458,838,077,709,903,552,441,719,199,235,170,132,057,090,
354,303,968,199,978,823,788,856,644,157,072,996,250,380,963,963,666,221,089,
709,351,755,347,743,976,100,860,780,351,610,601,949,816,224,807,306,666,446,
629,954,453,451,076,782,673,854,496,812,225,517,570,667,600,887,484,779,070,
849,510,444,695,852,706,766,469,025,453,872,429,567,587,206,608,201,543,366,
701,090,463,958,062,865,808,271,109,734,718,973,791,094,442,901,329,014,254,
232,316,193,159,457,755,881,381,638,234,482,967,468,446,525,663,180,581,489,
808,649,328,316,424,153,204,298,937,447,775,416,501,916,786,525,383,151,996,
774,310,907,939,027,848,005,574,139,026,076,456,282,194,360,286,511,620,302,
880,648,744,078,192,522,692,671,648,706,101,081,304,586,969,543,706,462,734,
853,148,832,422,249,084,497,523,287,428,384,513,914,313,690,362,915,184,905,
670,142,044,137,969,487,425,823,217,285,801,666,025,280,721,550,054,507,309,
053,349,780,201,052,403,052,948,468,426,619,654,787,693,570,949,581,994,518,
042,394,086,152,471,829,923,374,498,496,724,408,311,403,571,351,187,296,493,
720,614,498,006,766,709,539,394,052,142,675,685,409,555,298,259,683,051,131,
456,885,208,046,103,526,692,643,236,994,971,747,442,637,557,160,147,150,662,
819,869,741,776,993,729,418,122,662,454,541,715,760,279,527,463,161,941,717,
535,212,026,087,383,443,814,494,762,518,175,383,726,878,809,656,828,203,294,
948,802,021,886,465,542,755,646,053,467,130,113,593,121,804,485,231,633,612,
334,359,720,719,160,155,461,945,262,589,607,347,982,524,244,215,476,897,325,
868,285,664,461,766,723,555,503,343,634,892,653,157,806,241,360,343,089,581,
402,320,966,446,327,003,664,848,633,675,659,344,264,777,423,254,634,978,544,
333,156,196,580,292,246,511,433,028,550,182,259,776,721,156,687,102,809,045,
290,249,623,668,285,634,831,116,959,910,126,796,623,303,753,990,577,862,247,
643,326,764,564,478,051,533,091,243,206,908,987,673,944,241,487,263,926,521,
020,614,836,602,963,209,857,819,348,575,887,293,653,659,771,506,332,751,006,
054,600,804,834,723,888,331,789,442,945,218,614,113,473,224,071,575,358,857,
352,329,914,941,309,512,624,824,785,759,892,376,346,564,118,097,748,453,847,
617,079,777,370,431,531,763,255,367,752,603,044,976,603,718,288,864,899,084,
478,626,329,449,459,022,453,163,769,668,897,778,454,271,172,702,590,166,864,
874,583,682,415,351,079,592,838,811,429,262,156,013,009,195,901,421,519,166,
511,727,152,218,923,975,232,201,216,034,978,585,491,486,383,839,942,193,644,
178,441,146,336,223,669,675,150,713,886,840,616,887,799,749,298,746,246,158,
245,323,897,918,858,693,124,023,779,482,462,371,409,835,365,235,644,708,515,
260,113,003,909,157,621,221,976,221,401,939,145,933,049,567,216,326,306,557,
778,392,694,072,069,775,392,721,315,029,922,477,023,469,048,069,036,221,043,
069,971,022,822,550,918,974,096,563,624,608,970,750,442,405,091,555,056,194,
753,467,425,673,230,893,506,935,908,985,302,246,148,594,358,109,243,665,937,
955,123,168,215,789,291,707,276,510,133,441,063,394,285,773,739,355,844,455,
083,071,084,380,767,934,198,374,511,694,401,632,710,950,870,316,701,328,646,
540,428,505,644,315,085,514,773,773,810,963,679,889,708,732,408,729,194,038,
521,380,354,278,739,356,072,934,311,658,984,546,116,618,291,193,136,888,128,
583,848,794,588,618,723,650,834,753,224,542,983,741,912,588,401,974,113,124,
957,125,292,857,631,222,120,472,781,660,072,669,084,946,545,682,523,870,848,
547,838,642,886,616,868,371,610,484,210,562,207,555,217,505,005,460,499,621,
222,592,756,598,888,862,759,258,891,417,562,747,376,386,087,099,441,065,465,
092,958,656,496,826,968,140,436,013,535,598,090,778,093,065,846,544,421,101,
962,520,682,484,913,284,540,426,407,546,948,007,092,484,571,382,500,645,131,
116,038,965,384,663,279,769,810,947,537,526,727,835,647,249,684,313,512,120,
513,353,004,287,644,231,253,748,174,866,698,587,118,633,754,059,517,940,451,
361,298,317,887,323,425,598,214,953,348,838,555,067,067,597,929,885,351,599,
579,182,936,488,589,303,165,264,249,234,981,785,585,715,868,627,536,489,023,
756,198,033,868,371,023,913,768,297,125,341,249,482,334,197,492,022,223,319,
054,513,364,004,927,326,693,490,496,027,200,672,099,945,919,901,019,139,633,
536,057,971,510,564,828,016,502,865,551,234,211,626,449,855,116,440,905,543,
502,574,623,891,029,083,973,747,367,266,640,097,510,296,028,224,063,394,504,
473,295,249,545,106,827,778,085,008,852,156,912,357,590,726,911,291,508,122,
546,306,570,180,381,251,756,013,830,937,175,415,282,505,724,557,626,029,073,
485,057,893,140,486,426,715,813,453,959,564,463,875,613,091,364,585,211,373,
522,859,788,639,417,804,762,577,086,008,687,062,714,745,329,892,980,980,731,
425,256,657,639,617,575,122,476,611,046,449,381,515,625,081,952,852,250,880,
908,551,401,296,032,451,298,546,645,131,723,439,870,142,845,844,794,976,622,
916,428,906,396,526,711,889,755,599,127,058,258,231,985,776,253,724,983,944,
639,019,360,310,857,365,594,006,467,741,122,158,961,930,433,295,088,598,877,
120,504,368,325,152,245,331,772,653,443,458,795,501,605,105,447,209,057,484,
885,416,548,543,355,476,705,804,486,795,840,190,556,854,140,953,492,002,748,
346,000,300,360,141,947,672,587,471,801,173,092,164,310,616,030,905,837,445,
045,987,898,898,981,825,573,403,810,318,957,861,318,324,165,572,821,238,740,
071,137,123,667,679,259,476,388,542,105,771,203,292,703,463,424,326,417,721,
746,648,717,491,142,080,006,594,429,145,035,265,166,013,226,700,932,632,687,
437,967,324,724,354,196,390,354,817,825,681,901,145,210,585,340,143,029,877,
028,880,548,439,358,576,395,493,066,287,037,058,163,180,342,755,910,510,282,
788,610,103,290,169,755,253,096,015,299,993,217,890,807,457,958,570,932,565,
055,187,684,784,027,778,956,064,793,677,160,617,418,641,897,626,595,319,669,
936,363,573,254,927,885,548,269,394,987,040,972,287,722,095,684,717,073,235,
716,090,024,786,383,285,283,090,739,198,454,113,803,123,439,290,133,556,772,
141,025,487,644,303,581,038,731,299,757,995,399,929,159,770,590,914,507,285,
541,008,876,268,942,082,847,801,690,967,174,247,392,049,384,726,867,272,157,
777,550,916,871,188,961,039,117,655,845,127,802,516,486,357,569,325,761,468,
128,024,240,554,154,193,917,689,886,800,828,112,993,369,195,481,091,573,771,
729,356,606,178,913,185,513,229,558,352,086,998,516,841,282,511,621,734,048,
173,080,108,140,380,680,963,745,395,853,383,575,121,758,915,304,987,149,339,
954,918,352,185,334,892,440,333,535,215,392,414,982,292,425,039,359,112,638,
562,378,408,038,281,556,051,806,471,720,082,299,838,187,605,634,449,649,660,
867,138,703,046,530,265,418,192,722,128,329,055,613,218,780,555,172,135,585,
635,721,646,951,234,044,228,747,676,602,662,219,478,187,170,015,638,738,960,
328,790,831,582,181,419,528,122,107,200,630,437,677,609,569,603,235,443,860,
540,867,077,299,157,376,082,397,736,011,360,975,735,849,406,430,548,389,298,
003,383,845,217,836,247,457,734,041,059,476,379,370,400,545,978,837,830,865,
239,214,841,813,519,059,778,490,069,280,226,587,078,309,712,044,106,234,385,
791,085,831,417,584,492,009,980,088,269,107,977,750,432,815,128,945,837,359,
379,578,287,892,828,631,884,504,233,789,368,944,052,652,412,617,120,363,052,
713,269,804,318,295,324,199,561,879,556,728,521,011,070,080,323,077,783,678,
922,338,130,891,308,090,904,450,189,208,466,286,823,311,524,773,834,560,971,
093,276,264,823,708,206,933,111,386,058,821,163,120,252,432,717,492,305,385,
991,860,897,773,474,089,894,829,281,858,426,135,240,443,869,621,660,288,577,
024,139,863,757,741,546,833,738,524,061,809,310,947,713,727,654,676,936,676,
779,134,392,435,859,644,654,350,524,589,415,095,430,397,349,608,430,828,120,
339,113,150,022,201,337,734,957,048,069,120,817,027,608,102,667,485,465,845,
423,392,411,842,049,026,372,458,741,939,379,616,884,881,604,623,757,791,620,
765,627,325,415,048,399,017,134,378,249,466,272,213,470,842,149,558,102,854,
507,408,739,069,122,174,891,269,615,954,594,845,814,368,441,478,216,184,745,
758,640,123,670,754,120,907,805,324,121,747,944,937,529,446,516,836,438,462,
873,659,460,818,931,335,654,579,541,775,434,358,154,462,954,721,861,834,002,
023,632,137,728,805,029,494,803,570,147,659,917,756,671,386,989,724,917,304,
893,476,173,740,398,871,905,721,027,928,934,659,619,725,305,186,788,981,744,
303,448,113,150,500,905,340,221,660,965,042,788,216,714,469,218,168,241,898,
345,903,915,387,900,195,586,264,483,046,213,442,165,724,275,550,664,189,860,
867,935,067,149,235,978,104,260,583,179,416,443,656,826,001,242,797,139,867,
863,240,916,531,891,918,876,760,846,873,389,182,821,304,844,480,075,126,869,
441,416,545,786,598,681,805,500,241,715,187,273,046,288,976,016,818,484,125,
617,946,200,725,425,153,904,885,273,322,869,378,936,568,056,372,219,677,069,
980,064,826,440,300,163,902,788,412,224,972,246,315,782,973,946,879,327,702,
706,938,276,476,309,789,817,921,541,872,566,371,681,051,157,279,295,185,226,
250,700,136,886,573,554,004,508,877,482,371,488,925,115,812,641,588,847,312,
894,266,022,178,848,891,367,316,657,965,591,950,983,304,433,239,687,826,803,
729,575,140,013,579,956,545,184,719,458,353,265,877,562,472,075,663,215,288,
848,613,677,158,281,052,338,215,265,658,075,184,079,599,623,580,669,011,258,
543,879,117,745,272,018,616,797,111,451,913,557,939,606,270,666,473,551,395,
948,136,690,613,901,086,044,721,092,968,604,828,197,823,656,879,337,143,120,
981,738,052,274,531,003,835,311,413,055,512,821,982,444,882,800,233,710,794,
977,843,780,842,249,351,545,601,501,810,867,128,435,027,400,999,579,786,287,
632,296,784,152,816,020,103,574,433,203,897,419,102,258,498,878,807,521,537,
115,563,524,738,968,976,427,530,451,551,446,078,254,983,173,525,672,190,031,
260,040,401,779,832,015,081,335,051,849,926,495,046,714,274,578,483,459,789,
521,079,495,372,667,141,539,619,665,530,551,477,885,441,330,334,246,045,979,
681,130,708,503,355,703,877,178,434,817,944,586,831,310,846,546,100,588,175,
735,278,655,034,118,132,328,184,826,884,768,982,401,658,321,851,402,821,195,
699,931,071,523,202,274,783,266,215,848,791,865,679,535,679,411,152,649,021,
434,417,987,559,891,383,139,053,120,433,558,188,818,517,057,166,698,860,576,
936,006,438,206,777,540,852,809,993,242,039,537,518,500,498,515,428,449,628,
563,796,693,904,719,838,054,149,523,493,166,157,181,681,451,379,820,764,535,
047,733,631,415,254,084,216,478,025,340,752,433,226,304,916,123,299,338,372,
007,776,253,697,919,197,636,109,949,273,569,182,216,820,081,873,333,244,664,
885,273,106,430,602,239,014,693,855,493,238,401,343,804,453,654,174,777,241,
554,193,845,645,306,478,574,750,280,333,577,465,975,817,554,743,390,527,793,
417,065,409,086,665,254,826,004,335,735,478,397,133,270,934,848,906,797,396,
330,713,380,152,170,742,993,963,235,152,553,100,168,480,230,830,596,913,867,
366,972,809,127,684,115,521,450,845,687,265,694,690,640,124,294,062,113,879,
866,131,188,036,661,214,470,191,383,160,433,887,536,714,061,891,900,584,792,
023,172,733,371,552,680,131,667,246,898,793,626,715,950,915,779,933,145,545,
053,015,522,323,460,018,482,619,515,003,634,453,196,707,938,659,832,389,127,
242,058,602,291,803,400,956,471,560,873,338,753,780,596,834,181,831,985,333,
266,515,826,066,271,596,676,880,952,900,762,038,672,775,408,013,447,451,482,
554,077,993,609,726,293,934,999,101,097,168,628,126,524,188,054,312,420,516,
041,408,646,772,787,398,582,887,376,905,119,218,641,772,220,179,624,470,135,
131,505,253,976,694,275,161,799,677,279,552,687,270,385,783,958,981,782,730,
901,841,840,097,077,550,242,500,257,259,546,766,705,934,806,611,058,052,471,
709,089,364,039,860,358,343,268,423,233,656,910,364,516,968,286,042,257,043,
426,940,140,234,841,813,221,345,910,120,967,129,046,792,055,427,032,954,417,
187,237,497,456,384,631,376,823,079,434,483,202,310,187,449,530,095,138,312,
618,469,234,687,888,641,307,908,886,000,954,852,793,558,203,380,149,672,402,
723,185,549,940,508,905,291,753,316,470,476,693,918,338,519,447,797,616,965,
425,383,600,965,175,443,896,998,146,112,049,217,364,049,142,938,900,052,324,
253,061,565,358,087,944,107,754,820,560,117,550,869,570,495,203,627,240,775,
759,590,157,148,487,648,277,547,323,442,271,217,747,165,297,181,944,141,209,
661,893,003,517,842,008,403,502,817,157,889,754,855,776,784,728,445,209,369,
024,356,678,751,284,285,364,611,721,203,498,543,933,731,918,984,961,661,704,
847,033,747,464,349,232,038,601,359,699,190,564,011,301,689,729,678,676,259,
435,965,962,836,196,943,519,084,936,047,598,137,173,782,302,809,273,245,470,
965,379,333,800,434,774,303,916,618,786,955,890,569,289,725,946,755,527,653,
557,815,377,671,488,251,337,224,728,898,373,252,163,165,750,500,543,001,051,
128,692,752,871,459,080,586,771,957,793,609,587,706,520,965,043,719,671,129,
846,112,223,970,863,407,016,427,307,370,617,344,526,832,385,966,961,365,653,
926,252,139,987,629,101,864,182,325,456,510,268,120,621,890,630,094,257,901,
507,178,378,908,779,587,315,568,500,411,228,556,300,576,435,768,992,553,756,
332,788,913,500,860,200,963,446,728,445,586,102,865,237,991,359,965,574,547,
564,745,727,632,420,649,868,478,731,086,469,492,222,717,900,090,576,430,718,
415,616,053,536,633,509,392,217,150,588,592,843,051,962,588,712,131,936,921,
847,128,808,739,644,619,273,633,852,429,678,894,849,704,936,340,892,052,415,
409,474,981,012,554,670,767,404,033,104,734,556,291,804,890,660,601,904,106,
227,139,579,927,567,456,770,924,241,622,924,782,790,492,026,522,251,807,602,
579,127,243,444,050,119,221,432,012,916,379,052,825,565,657,454,777,338,512,
165,288,950,133,305,605,972,718,004,892,698,483,502,365,081,926,234,954,394,
127,750,517,890,105,114,277,062,281,449,049,453,329,551,790,699,387,201,598,
257,791,084,411,291,336,767,168,126,072,861,021,894,232,913,112,132,536,437,
126,156,469,485,246,851,016,192,610,618,686,128,628,002,967,919,581,939,068,
099,287,144,448,784,899,633,905,200,163,455,560,575,171,524,452,054,393,313,
206,673,583,833,289,592,751,422,024,354,799,392,022,467,480,942,647,802,211,
669,277,846,200,829,421,494,400,350,733,726,875,930,630,382,016,721,062,719,
238,665,945,598,101,410,476,889,532,771,776,705,715,152,761,698,210,764,549,
755,786,228,852,621,158,743,952,577,276,733,754,019,694,491,683,393,812,590,
263,773,746,169,044,327,164,527,633,505,024,600,238,423,121,624,262,821,104,
955,681,232,771,780,752,587,348,660,785,863,056,357,580,442,524,116,827,686,
182,588,052,275,516,389,740,455,840,603,553,378,607,485,123,869,990,840,784,
746,047,915,238,657,610,754,207,741,902,792,885,931,599,784,619,952,295,955,
525,333,503,093,469,532,524,636,890,398,711,123,766,556,500,020,579,922,005,
199,850,216,005,336,306,654,062,307,425,373,295,036,686,699,446,980,027,246,
556,045,754,850,866,290,816,881,573,383,694,365,191,450,505,174,640,424,034,
516,953,617,201,780,403,533,730,149,389,665,270,709,199,400,184,437,464,997,
474,479,133,458,357,613,360,452,909,774,542,501,752,936,882,848,988,281,129,
730,338,959,207,199,387,334,567,255,432,821,066,326,702,621,337,563,936,244,
077,494,700,651,542,172,637,941,754,349,415,679,367,694,608,223,333,130,705,
853,649,393,438,835,624,094,279,020,099,459,194,617,170,847,453,830,184,266,
057,481,625,158,792,894,003,214,054,422,957,075,580,251,342,942,362,587,198,
496,758,601,461,619,704,956,557,049,053,454,526,053,488,945,023,367,508,401,
744,860,484,131,768,722,194,433,262,920,899,658,751,657,756,742,551,961,883,
386,838,419,609,096,863,556,179,133,981,748,886,884,267,136,464,121,035,679,
387,564,948,784,764,746,693,848,363,757,360,229,233,148,536,528,528,754,834,
555,582,355,947,920,192,231,083,820,144,307,701,865,701,483,730,902,268,074,
730,061,419,135,574,475,115,595,515,003,766,552,655,140,608,541,414,317,022,
240,506,065,303,883,236,126,912,296,846,376,498,984,035,164,187,629,822,384,
135,175,944,443,953,233,246,167,450,767,327,521,282,598,594,564,980,710,505,
550,382,528,504,231,707,746,413,299,889,679,480,118,946,640,753,337,402,807,
430,199,026,732,405,277,878,457,832,372,589,953,351,385,547,544,768,679,470,
218,182,930,883,620,995,913,127,400,955,027,156,919,096,210,184,643,626,201,
881,614,386,114,087,937,574,388,483,302,304,632,305,793,026,328,181,380,754,
055,211,361,225,323,842,434,373,302,462,830,278,013,143,928,401,894,433,677,
034,203,885,885,647,974,335,861,159,413,553,213,884,847,308,881,342,311,894,
234,899,723,846,906,572,754,322,568,513,199,170,465,346,479,278,484,882,084,
707,923,533,700,036,382,415,105,217,711,756,891,350,905,257,692,652,780,329,
930,565,508,873,920,046,503,014,120,712,276,433,244,905,675,977,947,937,083,
527,305,194,199,150,281,338,281,708,518,408,431,959,724,099,665,438,486,520,
473,592,880,805,979,618,467,753,216,782,714,183,187,737,305,147,749,759,514,
887,912,475,460,946,631,368,785,622,045,930,187,922,959,646,600,173,241,384,
279,779,972,649,827,905,517,824,830,760,146,801,249,889,543,754,796,196,721,
834,671,394,904,471,993,870,251,385,236,099,224,381,666,990,274,883,641,994,
617,450,075,980,902,782,111,138,682,473,130,256,501,593,248,732,829,223,640,
493,283,206,749,899,121,392,553,469,278,421,656,275,408,747,646,049,909,886,
121,337,003,028,400,252,052,738,751,011,843,033,847,879,542,572,695,726,310,
700,280,720,048,471,936,599,178,142,185,874,196,412,843,235,689,443,785,458,
587,101,848,479,624,220,645,908,852,984,645,693,697,571,515,634,342,983,882,
185,444,385,053,085,622,984,183,735,822,397,192,000,640,572,699,754,375,489,
415,942,517,006,607,348,344,285,512,096,398,953,772,098,163,114,100,469,688,
384,359,393,919,488,548,955,480,601,174,766,898,150,504,569,813,612,275,373,
571,731,007,377,403,332,216,578,074,821,606,116,987,334,581,021,536,534,417,
134,647,117,985,624,508,717,465,056,549,562,775,051,906,165,003,020,016,390,
144,645,600,176,069,366,907,172,216,713,017,641,898,259,380,848,148,711,981,
310,162,445,002,163,407,547,128,303,072,601,624,471,714,846,418,985,397,721,
206,044,537,936,212,661,968,886,407,060,959,628,475,908,134,184,103,081,361,
633,872,759,522,984,194,405,832,553,440,238,394,420,496,422,483,648,751,755,
159,579,579,062,256,731,170,312,013,348,590,779,763,541,082,760,698,717,435,
019,681,234,709,867,538,986,423,909,689,240,170,019,275,787,075,897,510,475,
967,955,962,107,547,777,871,676,770,192,989,802,954,800,770,813,874,729,600,
672,582,083,683,205,582,830,032,497,263,128,249,462,531,318,174,113,109,893,
880,260,719,402,045,683,009,274,072,222,377,506,873,165,303,974,556,438,132,
967,425,103,631,970,385,931,468,540,412,919,037,436,037,765,193,357,928,128,
611,456,850,845,197,906,791,475,874,401,122,574,524,967,248,519,714,201,940,
606,651,064,998,386,859,291,117,325,600,438,244,727,495,544,323,444,191,940,
580,607,434,554,307,071,900,296,354,399,172,459,040,175,143,841,639,932,112,
709,086,439,688,102,001,900,150,949,580,801,915,053,090,247,915,872,154,513,
488,597,781,936,059,258,038,199,303,065,176,580,667,879,905,820,191,636,567,
465,448,437,386,083,095,870,503,411,946,514,385,877,506,160,961,171,754,225,
118,126,718,243,593,619,517,273,030,074,643,513,340,994,708,720,546,109,814,
925,878,547,786,781,474,853,925,599,950,128,885,424,883,174,052,788,095,552,
575,567,608,160,837,813,096,622,693,669,151,024,187,321,828,522,369,222,479,
058,724,160,982,940,694,941,190,325,550,800,506,052,792,567,678,861,003,111,
276,083,149,392,433,788,723,299,952,840,752,355,208,744,470,027,328,871,273,
117,563,416,149,427,733,456,578,415,427,103,744,270,030,760,399,730,181,534,
514,412,708,004,202,725,273,686,742,559,634,353,989,192,527,067,182,793,706,
176,054,364,615,738,725,064,360,790,128,447,666,954,114,579,252,534,136,797,
290,855,695,954,809,690,453,090,997,299,446,266,195,100,070,912,337,121,205,
426,717,722,841,524,611,251,520,392,093,189,194,762,584,527,558,413,913,280,
277,007,537,158,692,582,333,371,993,777,402,213,200,609,417,994,822,346,472,
789,710,321,548,091,487,778,124,856,173,711,627,777,035,225,374,517,304,164,
045,744,440,420,267,170,167,569,886,164,615,394,997,488,843,585,224,512,675,
544,225,934,287,655,176,105,750,918,225,096,282,764,910,474,651,364,377,531,
164,425,368,140,055,531,716,057,622,540,273,279,873,618,365,757,303,848,903,
816,703,230,240,539,333,706,558,309,798,618,070,337,855,701,337,945,253,506,
040,719,994,347,433,409,490,483,019,893,355,036,865,565,464,880,108,064,167,
639,024,620,602,624,999,388,393,696,768,585,331,037,277,957,514,089,650,468,
303,574,129,977,710,551,476,606,912,445,263,948,564,981,493,962,112,433,793,
598,800,587,674,032,435,367,914,244,717,053,553,090,163,099,255,708,796,023,
519,908,496,233,158,186,023,851,618,579,845,041,306,206,432,436,217,455,070,
828,324,813,083,183,123,081,306,034,355,899,860,502,970,750,962,146,439,834,
162,580,497,344,513,895,259,964,396,962,648,293,050,185,375,095,214,279,215,
799,765,583,532,240,629,623,695,642,042,034,008,469,639,578,800,127,251,168,
803,212,510,278,155,656,134,759,329,580,288,763,342,893,682,853,931,637,407,
644,018,924,408,219,917,776,022,389,818,524,205,914,339,331,232,588,007,650,
845,075,872,279,338,901,719,779,537,641,688,008,200,119,312,160,098,482,208,
733,071,186,270,719,308,533,651,655,309,159,277,982,880,617,134,330,079,106,
768,785,335,386,488,029,918,752,307,905,178,787,258,985,986,101,892,767,708,
034,053,011,901,946,229,592,457,336,138,251,953,339,873,174,011,253,341,717,
684,088,675,297,618,924,531,907,209,912,632,737,607,947,549,713,310,923,659,
214,593,644,789,352,039,027,345,774,093,107,585,813,950,317,393,614,132,420,
701,505,997,498,276,306,731,266,178,757,076,547,544,639,049,948,943,504,734,
582,837,008,680,849,085,798,164,637,560,568,241,181,477,737,066,540,270,853,
303,076,706,113,871,289,172,410,566,184,517,430,884,186,128,718,705,560,232,
298,632,939,164,512,156,297,261,670,763,013,228,503,398,107,201,130,633,596,
258,471,295,957,919,365,525,713,042,246,141,316,318,881,429,189,313,457,630,
510,970,462,141,878,900,939,740,807,339,513,840,123,092,646,010,778,717,412,
019,352,088,637,238,873,147,568,794,576,018,208,917,790,902,873,834,077,701,
405,965,888,357,009,494,077,640,053,448,730,819,737,336,365,955,864,626,425,
445,815,104,469,253,667,936,761,081,629,248,041,040,263,816,628,321,576,383,
480,847,729,400,002,565,050,663,420,398,664,659,048,317,272,358,555,414,742,
550,141,261,392,474,980,582,934,141,525,600,656,548,571,617,653,105,183,029,
419,350,800,934,023,853,944,645,492,470,230,065,452,815,920,402,140,311,575,
464,758,960,335,875,669,892,332,246,242,995,041,950,983,333,525,338,805,998,
809,176,520,192,142,223,605,783,396,522,017,183,192,911,107,115,327,339,891,
189,569,502,496,256,284,880,846,397,374,598,219,942,616,032,999,239,584,669,
726,363,420,335,216,891,219,555,035,139,088,009,471,215,852,853,968,247,555,
477,539,394,270,014,284,388,960,517,804,545,105,932,021,797,852,851,507,930,
440,122,792,681,082,192,492,099,564,794,144,807,801,538,550,538,860,886,870,
772,065,342,074,221,543,628,640,617,478,842,359,564,207,466,137,902,134,814,
471,963,214,990,288,572,899,088,310,370,924,058,219,072,039,631,825,466,598,
959,954,771,495,640,083,294,676,926,916,732,708,262,020,221,233,582,876,918,
679,314,111,429,683,010,762,964,423,332,326,849,927,247,177,513,412,128,612,
952,919,393,568,359,584,274,540,799,755,243,702,144,352,368,073,538,428,422,
392,187,230,443,924,480,711,779,088,076,550,047,373,910,274,019,513,809,080,
603,500,157,728,824,754,277,722,916,038,538,159,367,586,794,856,790,804,869,
019,871,221,129,223,718,551,023,376,433,384,548,489,681,883,157,457,684,424,
203,455,629,801,516,311,205,023,437,914,173,805,624,239,145,296,491,300,863,
174,720,839,788,012,541,904,881,851,486,315,577,532,334,913,367,990,047,194,
440,819,899,717,164,580,440,071,845,795,844,890,396,404,088,036,741,828,557,
499,285,604,524,832,282,719,817,814,827,234,835,482,259,018,997,841,679,143,
816,799,561,213,721,569,102,369,746,739,882,591,393,441,875,572,743,353,197,
130,998,010,403,057,836,704,398,419,834,165,627,448,326,802,468,348,760,189,
178,060,462,149,361,292,428,850,576,885,904,094,111,751,452,950,772,794,369,
400,785,937,888,376,071,599,486,465,510,551,320,967,020,657,852,676,200,246,
430,253,429,123,574,344,276,654,032,734,221,645,050,778,626,738,620,897,900,
010,173,326,943,584,180,298,908,175,211,744,402,271,858,270,015,452,159,996,
197,487,548,090,653,293,747,881,317,293,754,172,091,810,245,686,320,915,206,
441,577,434,252,512,236,084,918,289,804,239,919,105,205,174,216,127,893,733,
922,529,977,244,775,091,134,438,601,207,782,598,273,340,259,025,157,719,189,
310,901,929,131,509,661,451,209,162,780,421,450,374,212,130,791,251,105,922,
156,746,969,292,456,888,379,070,016,362,815,956,918,516,214,248,027,634,256,
023,824,618,647,712,712,725,142,114,732,343,396,149,674,043,737,215,028,956,
660,854,835,838,185,468,273,253,534,910,564,084,925,028,525,059,807,494,501,
059,324,168,009,914,052,802,250,577,738,743,971,214,906,886,652,355,921,229,
965,048,609,755,717,072,523,783,560,894,873,894,320,315,628,604,619,564,162,
270,289,790,782,919,217,041,190,438,158,573,017,587,245,469,186,523,551,877,
382,634,412,419,027,969,252,495,941,329,442,642,420,261,082,334,309,299,786,
909,122,403,572,781,379,888,578,658,520,596,783,562,397,692,755,419,376,550,
790,433,218,088,172,918,775,744,154,585,935,372,936,945,610,524,971,236,359,
693,588,877,494,802,183,550,177,731,129,489,373,656,816,912,273,800,790,841,
271,893,404,916,550,847,252,349,977,969,237,622,908,823,160,173,328,282,187,
686,449,080,759,554,158,729,840,938,897,768,382,292,685,326,805,593,483,075,
385,372,207,543,225,510,519,138,653,841,612,723,856,855,599,880,824,055,387,
008,421,210,053,337,481,694,443,079,457,470,777,664,796,725,004,693,845,094,
018,827,077,919,418,647,510,218,009,144,653,814,308,433,544,107,998,985,424,
708,793,282,963,138,235,016,145,961,424,421,425,759,479,749,411,351,639,148,
122,198,646,120,982,744,932,939,886,428,796,278,952,180,936,595,976,288,932,
302,269,050,400,757,648,571,678,746,227,841,142,365,517,549,525,586,985,069,
538,806,326,246,324,270,306,542,769,357,830,922,196,531,728,998,347,492,376,
602,967,394,850,959,348,641,796,871,300,612,697,827,715,191,751,107,352,832,
667,807,649,321,350,673,433,866,926,340,835,742,631,953,073,337,902,802,223,
740,021,481,936,966,578,742,755,256,218,409,486,733,269,077,166,185,482,747,
034,512,601,614,048,192,752,401,598,170,534,344,685,816,783,917,983,653,431,
853,408,753,293,075,969,593,142,206,781,666,659,960,764,600,427,883,053,907,
604,549,806,960,873,202,507,018,697,214,708,174,333,666,654,658,874,290,223,
041,921,961,914,110,593,396,178,701,094,608,607,720,023,929,234,986,815,936,
989,922,481,219,180,349,754,506,255,433,930,049,229,639,130,670,113,129,511,
513,715,729,466,506,571,522,773,564,050,278,679,124,216,635,606,916,717,986,
972,393,583,504,857,730,953,875,624,599,375,993,402,887,815,761,144,770,616,
942,875,791,731,222,875,195,775,383,058,381,738,507,916,627,439,181,313,040,
653,972,261,163,217,315,981,340,452,549,137,825,362,148,129,756,900,397,292,
334,450,992,656,657,987,562,466,489,631,755,901,711,856,090,773,666,190,215,
300,480,903,020,142,165,889,377,356,438,421,352,498,193,448,782,110,183,531,
649,966,671,776,606,666,849,688,456,511,701,482,838,340,810,066,265,702,827,
307,959,662,166,470,170,332,187,453,073,094,572,567,129,005,726,707,076,779,
552,924,642,764,664,551,394,917,899,155,394,194,555,009,959,424,252,249,198,
675,417,292,817,447,571,737,358,597,404,474,646,693,265,168,352,415,706,617,
243,964,839,206,682,212,081,947,178,691,539,765,628,708,740,378,358,633,091,
595,638,615,475,644,795,362,917,311,743,506,224,226,075,914,379,409,582,291,
566,855,142,744,523,349,507,927,571,194,293,507,375,803,130,328,061,427,096,
301,067,265,563,721,923,473,394,201,712,641,811,285,422,163,145,262,744,764,
350,261,321,126,706,591,974,143,912,611,532,298,736,970,735,405,644,754,001,
946,468,586,147,471,481,937,100,294,465,324,857,296,703,553,504,034,135,444,
324,754,788,312,847,460,372,829,941,787,584,648,726,907,320,631,005,137,220,
742,662,278,415,810,108,688,152,091,490,864,434,730,478,201,997,185,969,904,
270,737,051,182,348,220,655,099,588,480,181,531,105,018,176,233,494,236,733,
422,042,384,586,489,985,873,618,550,608,185,799,858,548,080,046,052,784,110,
912,177,226,834,186,839,838,473,785,973,609,703,654,746,559,886,442,668,585,
384,841,477,688,310,395,362,647,772,316,746,655,696,757,030,254,285,835,226,
367,358,751,513,318,547,391,715,418,247,196,055,932,360,884,108,391,188,444,
959,277,520,036,800,381,097,852,013,497,590,486,913,697,629,518,849,863,764,
463,818,693,230,160,054,770,439,895,752,049,715,582,934,174,638,139,333,858,
507,674,842,089,318,489,081,184,844,238,831,710,062,658,440,305,807,221,367,
820,727,438,478,807,714,349,045,440,588,550,788,408,252,598,696,695,060,313,
443,578,540,262,307,256,607,337,037,570,660,552,870,692,207,333,884,945,069,
149,453,267,778,748,217,891,764,064,988,498,152,664,731,664,064,223,401,887,
213,216,447,759,901,571,559,132,416,132,190,783,736,573,766,333,670,473,158,
370,654,998,184,368,390,375,220,852,067,480,261,938,326,395,849,277,299,475,
749,508,488,804,991,165,613,579,304,316,151,488,921,219,818,852,645,651,189,
790,811,668,001,916,941,618,505,044,559,390,376,831,679,037,949,063,091,333,
426,482,954,006,092,178,082,015,668,199,906,736,974,838,383,364,353,432,883,
277,220,908,234,669,155,502,170,636,342,189,311,330,088,659,955,572,529,850,
961,205,729,726,234,004,857,728,578,082,507,275,768,784,789,478,920,989,088,
988,023,809,312,163,608,540,655,395,279,196,279,043,220,172,751,764,621,673,
959,849,592,546,902,360,386,540,592,791,107,275,984,883,899,389,288,400,681,
819,021,642,651,971,619,620,558,662,489,824,427,290,157,763,268,788,032,940,
090,287,325,174,324,593,136,305,427,392,551,136,948,498,496,559,615,674,617,
941,392,807,302,075,922,328,574,664,970,795,521,617,448,858,766,337,304,525,
736,186,724,643,623,623,064,444,072,555,832,602,881,882,287,477,647,547,157,
124,200,791,647,762,383,317,602,858,670,967,613,595,476,013,407,028,582,086,
388,266,190,600,927,160,542,838,273,695,252,758,701,134,919,391,554,258,216,
327,678,781,746,637,627,934,119,924,108,234,752,832,865,941,632,679,609,298,
316,088,123,316,510,216,051,378,265,968,841,667,763,244,468,634,622,980,974,
583,037,753,894,526,480,014,667,084,005,646,414,018,762,719,066,139,059,560,
620,051,441,396,052,240,804,411,811,694,485,558,779,498,534,369,301,809,517,
436,323,993,263,387,787,377,589,609,416,226,751,231,929,517,198,659,406,189,
615,878,953,420,299,944,874,577,293,928,848,100,900,677,942,227,633,652,612,
230,786,833,864,360,971,883,014,676,198,369,819,460,903,352,566,494,494,795,
895,945,519,394,252,487,315,459,216,229,741,711,454,680,454,064,544,471,902,
665,636,753,063,877,999,616,197,957,597,183,241,723,342,543,498,611,834,118,
634,972,263,697,270,669,466,220,679,543,294,739,004,059,465,864,112,918,483,
600,915,914,353,703,099,510,759,286,838,938,271,534,833,943,487,223,410,034,
690,199,076,632,846,670,619,934,085,400,528,839,098,577,322,560,101,873,697,
743,491,403,101,153,476,329,394,208,138,394,536,202,362,575,928,346,245,613,
949,914,363,471,822,748,094,704,046,554,806,476,872,639,907,437,234,205,154,
387,820,044,918,672,687,572,213,153,682,949,126,400,234,199,549,234,790,538,
196,505,414,322,047,740,712,306,760,258,118,922,244,258,393,751,321,517,194,
654,657,853,359,101,451,478,155,838,405,275,945,354,621,001,542,551,864,455,
642,203,064,411,317,676,225,107,983,777,780,674,324,276,732,493,909,753,597,
338,053,363,429,667,120,092,091,177,869,102,065,386,251,063,021,574,148,893,
980,365,014,677,183,449,738,022,025,538,492,459,281,615,238,806,731,180,625,
967,193,378,292,624,830,079,075,917,292,550,956,503,330,567,630,126,976,559,
110,879,949,171,346,875,410,034,301,184,728,253,283,397,931,904,742,577,417,
772,233,858,016,378,226,296,758,196,854,153,891,127,407,000,494,249,362,443,
696,918,224,531,309,555,832,092,466,222,945,009,411,050,534,062,534,310,097,
379,690,359,408,451,758,814,538,136,832,727,795,779,591,811,268,384,437,083,
077,891,283,536,930,831,975,679,869,638,769,042,149,855,436,903,641,833,903,
756,586,113,961,965,360,513,438,587,826,167,688,794,753,946,993,162,442,788,
678,513,525,463,137,681,235,540,471,174,190,466,727,120,756,030,337,637,594,
775,381,534,580,214,875,418,111,645,558,123,969,420,398,626,388,191,092,058,
603,398,508,152,258,256,876,309,448,288,799,942,078,029,226,295,263,386,461,
795,461,531,122,016,819,127,475,886,149,909,365,902,221,268,729,162,793,517,
820,416,434,359,290,693,959,178,088,084,113,249,322,887,299,524,262,495,282,
286,442,685,281,748,832,793,098,717,608,652,562,179,064,310,251,254,899,116,
310,435,121,251,860,258,494,015,036,081,861,948,550,592,835,602,270,985,137,
479,542,205,415,348,806,931,513,650,917,527,255,960,808,005,820,905,603,788,
904,395,514,000,680,274,098,754,522,758,169,298,619,005,558,506,350,019,805,
131,020,553,595,929,951,222,228,526,182,010,732,277,570,063,840,147,096,774,
041,801,387,720,781,143,362,798,851,348,600,254,646,155,211,033,933,174,592,
936,128,984,557,361,036,079,737,643,304,170,943,702,997,262,664,504,445,385,
521,651,853,679,762,712,363,786,118,004,583,829,392,434,448,354,465,777,521,
404,872,073,809,037,927,055,321,480,903,299,010,170,027,712,221,260,373,381,
635,736,280,542,138,080,653,021,703,808,013,724,816,569,506,033,779,372,076,
751,933,365,870,524,396,733,336,623,978,768,469,236,080,078,653,268,409,687,
405,322,360,836,844,419,624,775,553,524,391,607,351,177,872,515,818,172,604,
817,610,856,084,807,865,770,123,612,682,538,957,896,970,106,075,548,708,728,
693,734,196,317,627,998,972,650,404,439,535,687,707,195,444,059,387,377,635,
239,535,580,937,553,230,874,799,224,075,924,046,356,130,112,748,276,614,359,
709,057,784,539,407,898,808,009,062,473,858,227,799,961,951,858,823,425,942,
617,769,884,454,820,480,483,066,564,397,475,434,967,280,027,948,406,447,459,
054,348,177,519,942,466,944,451,304,494,915,753,070,916,385,128,731,470,560,
917,620,832,364,236,902,168,389,489,105,846,758,450,576,893,693,643,940,892,
689,915,077,290,106,186,759,720,804,527,869,778,461,909,668,877,924,327,413,
131,125,332,049,594,865,583,994,998,621,548,462,777,551,888,012,844,193,905,
876,665,834,955,780,103,991,798,955,587,024,887,832,670,225,741,310,373,839,
363,248,602,107,935,433,229,851,489,184,724,958,307,049,376,594,185,416,701,
665,092,143,095,993,409,681,223,485,293,612,458,553,717,139,352,573,820,307,
423,375,877,173,798,534,000,691,867,022,377,081,174,090,430,551,459,091,426,
927,780,461,937,150,588,419,246,442,576,489,803,683,275,586,247,073,443,472,
767,047,140,755,914,645,238,508,215,675,790,911,323,305,293,227,885,222,990,
396,041,217,510,112,089,809,257,329,248,709,700,758,875,916,585,002,121,967,
894,290,308,178,104,837,722,069,677,445,799,375,437,024,553,042,271,265,796,
506,637,006,530,589,430,575,161,145,146,630,978,073,307,716,534,001,176,629,
713,579,148,102,068,954,670,315,371,902,395,307,987,097,154,738,232,043,130,
122,990,206,106,694,765,128,365,455,691,452,057,080,527,051,877,820,519,276,
215,568,795,250,395,811,487,014,960,972,886,397,100,978,428,931,137,826,330,
959,509,642,803,773,116,894,245,039,246,723,165,243,199,648,178,454,797,749,
175,081,263,537,548,602,482,729,472,206,202,905,331,944,726,008,254,385,648,
006,476,429,732,700,874,505,240,991,737,088,206,108,456,954,711,010,143,167,
860,223,041,633,448,913,364,758,281,835,128,132,331,194,445,894,336,750,330,
944,418,349,661,414,637,874,825,962,077,156,106,745,042,462,915,707,142,949,
450,678,649,025,474,997,202,315,380,453,417,923,927,080,676,628,050,833,318,
785,724,935,466,653,176,576,235,129,945,999,694,584,525,974,239,996,243,963,
297,669,157,919,177,693,010,960,427,202,612,832,994,529,532,580,702,461,366,
296,917,613,866,368,856,093,510,955,156,222,371,998,606,484,816,648,126,661,
609,771,194,728,293,585,286,538,695,357,859,514,410,204,967,913,296,247,513,
886,594,849,216,251,032,888,488,804,330,881,746,055,689,708,183,074,362,593,
577,412,450,841,309,766,439,901,783,171,142,368,011,731,356,397,776,184,566,
873,556,997,237,200,199,936,477,020,265,389,573,194,562,679,752,871,587,810,
600,598,643,841,323,410,487,422,946,692,051,724,402,366,125,427,411,595,272,
521,997,129,083,284,709,269,053,164,747,585,900,072,015,485,491,673,184,665,
187,965,888,700,938,769,424,284,914,285,228,108,238,742,082,219,595,000,000,
165,759,665,086,182,872,264,950,389,012,702,928,609,588,900,398,362,527,788,
141,289,263,362,312,333,655,053,311,843,174,771,705,924,069,018,916,647,355,
554,115,178,335,714,900,823,146,985,190,294,024,283,747,756,873,659,623,436,
846,169,925,085,988,793,736,639,815,813,499,645,880,911,459,588,591,940,478,
358,506,387,147,594,672,161,265,910,492,939,992,758,960,073,863,289,186,455,
392,605,914,050,796,264,184,468,061,065,397,118,517,782,114,475,014,584,354,
693,514,757,779,444,466,209,872,233,829,520,602,276,726,661,254,191,341,913,
001,594,834,452,251,046,035,369,314,977,318,473,689,273,734,531,102,645,907,
111,120,762,919,034,064,345,176,619,382,560,449,179,349,775,615,444,685,172,
399,581,605,858,213,650,505,772,645,434,561,114,714,413,848,939,939,968,555,
708,451,088,982,611,976,056,392,819,232,950,060,173,892,787,448,557,183,598,
996,427,350,657,816,427,053,969,654,609,215,522,426,393,294,336,893,668,376,
098,402,699,802,703,890,974,282,054,391,322,806,813,606,017,094,063,157,788,
743,125,318,253,120,693,793,910,948,498,373,631,753,123,850,963,204,922,114,
472,654,043,638,266,677,497,533,872,830,924,482,691,171,869,246,626,242,103,
209,535,277,507,332,804,450,064,239,874,361,013,381,231,482,053,179,032,448,
171,208,283,995,545,217,574,409,464,276,100,519,044,759,604,062,162,759,781,
926,884,158,069,669,159,898,426,841,153,512,822,369,317,471,016,263,321,360,
147,331,437,150,664,527,726,868,599,144,769,900,047,715,859,331,895,225,964,
684,658,204,524,451,092,112,521,596,407,051,115,833,819,962,673,558,731,548,
833,270,224,923,535,703,887,628,362,617,906,633,245,934,326,691,809,101,613,
989,314,427,641,594,434,204,191,983,358,369,632,580,474,994,285,567,079,241,
665,252,210,098,909,842,463,094,073,288,207,291,245,692,237,931,782,155,143,
117,388,971,102,662,217,124,301,820,324,982,587,012,207,268,270,772,256,881,
780,764,293,364,780,487,169,511,810,750,074,042,586,233,866,463,899,244,500,
315,493,288,358,088,332,269,476,739,061,248,786,322,965,298,329,100,660,306,
477,507,667,766,757,640,293,337,154,900,279,739,421,365,710,607,011,286,107,
268,986,394,180,003,883,219,572,484,011,270,542,446,018,196,692,154,523,720,
958,614,091,996,426,604,760,251,938,498,853,962,668,815,456,837,929,784,945,
381,020,101,072,826,587,063,058,625,994,469,548,044,068,147,856,757,638,242,
397,583,668,202,104,243,972,426,234,876,737,973,216,660,070,742,846,940,621,
183,301,469,094,387,886,538,289,905,371,885,442,142,835,724,415,865,791,693,
814,662,174,501,844,014,037,653,029,769,471,408,087,915,536,106,206,670,862,
277,646,381,469,482,707,040,262,541,199,018,985,417,048,849,101,805,459,622,
948,678,648,822,121,367,281,813,851,006,918,766,320,450,620,253,698,658,639,
565,480,539,404,048,799,925,360,443,364,596,086,576,671,958,927,763,922,099,
052,869,351,687,674,207,756,651,374,208,130,200,305,073,142,634,245,016,598,
491,730,775,123,799,207,587,703,001,717,811,494,158,287,568,015,358,617,904,
897,203,584,195,029,313,084,326,263,842,323,091,891,599,018,364,163,823,905,
357,920,839,583,860,929,555,457,278,293,253,601,574,806,958,974,015,432,514,
535,971,616,883,549,872,733,634,148,018,530,133,391,471,979,857,368,850,292,
335,998,138,444,368,928,220,298,584,539,574,610,182,811,022,269,325,991,755,
319,772,963,512,490,375,641,729,312,627,200,958,762,334,896,768,217,306,021,
215,585,961,514,565,840,336,572,651,466,849,768,091,419,968,725,218,977,880,
935,540,419,994,964,563,378,536,929,690,317,450,508,054,325,507,115,337,589,
980,966,866,236,282,233,261,904,993,001,194,774,643,387,288,190,376,827,383,
021,839,326,958,063,109,917,729,682,147,543,593,230,245,521,143,961,919,501,
288,396,371,982,916,585,607,566,433,817,871,574,905,149,316,092,437,059,172,
367,336,671,000,885,419,912,958,880,485,352,481,494,096,562,391,364,754,972,
184,481,052,343,822,503,348,355,742,065,661,948,588,017,805,002,312,689,902,
508,438,692,460,983,493,723,625,064,721,476,063,937,027,613,140,257,005,682,
372,201,775,752,034,974,096,573,209,303,815,323,990,300,056,168,035,735,767,
452,169,504,494,842,433,801,316,911,558,172,754,373,222,383,531,332,318,298,
346,402,359,735,372,339,809,480,409,941,693,254,596,622,077,916,077,302,022,
005,025,816,570,290,327,084,257,427,225,761,641,166,325,211,741,814,510,761,
239,142,418,825,316,377,243,551,863,553,039,151,315,751,419,520,264,052,372,
440,096,309,827,885,207,119,957,988,915,670,839,216,719,918,356,726,819,180,
088,375,232,220,912,554,338,641,233,520,441,731,757,593,721,019,619,302,987,
951,441,876,674,500,899,668,964,262,545,833,785,930,807,189,242,150,620,707,
909,065,393,619,052,544,949,117,397,479,297,139,188,390,950,018,964,415,773,
905,753,991,531,574,653,874,132,678,556,258,097,139,627,535,774,726,803,123,
671,244,013,925,194,743,791,104,350,293,248,091,160,032,319,540,298,331,542,
455,986,085,110,201,013,674,969,997,787,228,532,798,605,732,261,042,661,059,
167,596,068,406,050,818,467,244,853,912,137,782,962,193,081,390,557,824,547,
936,129,718,046,876,282,044,274,389,063,055,963,946,953,703,682,670,200,511,
811,450,438,644,430,802,222,799,793,225,603,658,950,381,133,295,774,309,223,
156,505,946,913,730,943,253,030,330,024,379,976,521,643,167,781,574,483,335,
154,471,270,309,542,660,978,212,891,321,190,652,635,455,103,202,336,686,024,
578,806,198,777,404,416,341,505,765,066,643,144,733,700,239,513,985,284,037,
795,359,955,287,067,303,157,665,895,058,485,498,519,811,499,044,523,691,590,
330,136,197,399,753,742,195,092,221,689,118,520,090,263,980,085,210,239,657,
269,552,279,439,918,918,824,011,725,779,587,471,171,877,114,372,890,759,845,
902,455,490,323,712,901,907,643,458,261,890,100,300,782,404,343,943,223,982,
448,509,722,037,320,106,162,985,801,341,670,459,929,757,764,278,961,556,739,
246,198,691,392,688,157,302,438,929,803,288,952,851,161,844,092,407,072,616,
471,731,504,359,232,985,112,104,940,109,202,086,210,080,407,877,814,994,317,
837,403,509,666,741,338,829,090,598,968,412,795,756,335,114,985,072,263,145,
823,967,496,851,589,585,395,435,581,932,523,823,106,050,611,697,741,504,744,
471,358,498,776,127,584,960,580,993,121,177,519,684,236,725,652,224,450,034,
799,405,009,271,298,160,669,261,227,964,386,709,232,450,388,600,170,191,072,
986,445,435,104,518,700,634,545,897,145,086,921,566,815,287,878,135,644,616,
210,386,712,702,135,009,797,864,445,353,658,164,392,273,265,256,355,145,860,
681,714,644,618,544,783,220,922,165,698,254,036,787,872,125,068,062,668,287,
767,191,453,346,344,421,830,902,043,087,272,256,992,749,329,716,665,074,119,
027,026,451,000,224,331,828,677,635,794,359,154,684,707,930,093,063,119,477,
725,818,559,136,239,847,478,528,568,710,274,128,849,343,120,293,656,270,419,
453,752,363,723,195,331,558,219,863,467,293,297,006,085,469,805,745,654,947,
159,388,015,018,190,076,981,298,855,335,825,349,048,547,842,500,851,270,852,
686,632,432,427,985,981,534,155,393,955,374,549,833,283,884,551,991,981,015,
024,413,562,099,893,061,948,392,117,549,932,011,633,533,298,852,076,292,333,
462,006,067,747,700,230,295,767,213,560,875,876,929,092,334,795,431,566,876,
896,088,522,553,584,545,284,471,442,439,125,178,599,520,255,514,847,067,227,
111,752,437,776,204,426,954,350,969,041,822,315,591,727,684,780,391,092,706,
182,860,168,629,808,488,112,261,065,844,558,128,760,191,552,820,348,567,267,
731,205,142,840,781,517,999,199,969,901,526,169,284,436,075,214,076,677,996,
015,272,632,309,819,359,840,568,801,297,199,272,840,934,475,868,539,405,174,
035,353,370,401,917,480,750,024,263,640,868,364,269,160,461,386,505,302,336,
675,102,538,802,176,990,728,207,038,404,474,911,657,473,643,601,293,110,575,
235,393,440,395,441,335,743,099,364,120,318,598,492,310,111,176,941,684,062,
528,625,812,505,891,282,164,251,610,305,486,168,931,691,606,687,794,955,121,
498,012,883,517,804,988,483,540,236,389,048,357,939,643,872,195,085,904,378,
694,980,563,876,871,233,351,278,460,965,120,819,564,791,529,035,927,358,166,
945,414,424,859,806,153,741,846,043,598,561,419,958,924,862,985,858,040,878,
991,621,307,906,221,404,526,694,755,946,070,424,013,534,935,241,966,125,708,
708,980,284,273,324,336,939,232,936,118,566,992,406,381,370,811,109,849,164,
712,008,829,312,275,505,943,354,062,252,860,518,296,940,938,551,650,172,733,
059,765,261,004,935,529,950,247,037,325,654,789,982,149,641,268,881,421,430,
998,022,073,100,145,428,848,284,984,911,479,568,428,923,915,332,205,852,156,
547,809,623,145,686,632,671,172,639,600,939,879,685,600,411,189,984,104,211,
524,601,159,878,281,779,284,879,663,708,877,050,151,339,283,556,081,480,700,
058,495,338,190,154,358,199,196,035,815,350,463,197,007,700,728,289,549,765,
472,718,232,850,752,831,616,121,675,513,221,214,032,481,318,013,596,758,469,
406,027,689,802,113,850,433,684,853,486,490,870,006,918,603,053,872,579,588,
230,789,299,699,504,681,742,395,392,122,380,700,964,679,881,824,104,292,642,
085,499,195,237,655,783,647,532,187,899,508,496,313,840,492,057,987,787,692,
435,334,064,754,664,341,825,658,663,663,892,801,271,867,709,330,195,347,864,
073,094,908,508,979,323,998,091,115,358,258,788,243,013,062,317,496,980,490,
961,924,562,645,896,102,631,221,462,799,177,043,702,289,350,107,954,899,347,
260,950,349,726,902,504,774,774,239,355,802,225,861,217,165,308,959,707,611,
396,373,488,848,443,698,431,503,258,298,431,259,919,533,151,069,033,697,413,
859,048,592,305,826,030,098,797,859,071,369,843,515,912,488,509,131,898,611,
534,674,349,772,121,916,025,549,760,985,426,809,907,901,840,662,644,123,227,
071,374,009,513,984,323,906,377,480,186,512,834,713,826,600,707,032,644,595,
812,211,776,613,816,428,476,072,099,171,072,484,737,851,948,559,562,380,721,
714,067,513,083,085,243,259,649,823,456,524,533,760,876,273,515,105,851,616,
857,658,045,899,107,336,576,967,256,646,842,267,788,772,184,816,781,772,841,
354,489,338,412,928,840,280,223,682,926,918,795,582,978,499,595,654,174,584,
829,727,883,131,381,768,514,079,335,895,194,660,152,673,663,288,296,702,487,
038,920,778,433,449,243,066,638,322,779,915,053,000,762,860,266,538,546,855,
851,786,837,638,870,880,916,047,219,626,506,446,296,130,117,255,343,608,288,
010,802,984,806,521,397,005,306,153,067,452,707,446,292,333,186,097,670,135,
810,882,631,216,880,321,228,775,134,622,765,641,707,043,400,482,834,560,392,
842,447,641,934,782,762,927,738,648,818,522,108,495,311,551,904,033,376,221,
283,757,954,403,919,218,497,453,694,178,748,996,207,127,023,210,591,414,391,
854,550,212,670,876,962,404,388,187,118,861,915,007,315,358,853,531,338,165,
981,589,392,299,259,223,553,420,355,925,012,570,119,230,140,431,323,499,402,
472,081,084,804,984,890,396,113,086,311,136,589,553,232,102,980,090,396,149,
475,802,502,707,403,620,331,785,663,833,585,161,537,094,927,588,352,753,747,
521,712,122,293,538,665,557,970,462,191,065,401,325,259,716,679,614,518,997,
514,057,196,526,048,791,685,272,182,052,764,738,521,215,369,731,827,077,222,
530,158,599,090,739,583,757,451,503,454,412,637,408,389,874,893,939,298,090,
337,979,415,754,609,928,348,541,562,435,554,765,930,844,180,502,619,107,944,
564,878,746,865,420,255,597,825,951,399,973,635,181,519,602,673,453,186,777,
518,843,524,366,101,515,543,436,358,558,624,340,514,441,914,012,032,616,955,
386,916,733,013,387,849,455,064,839,509,740,388,337,517,315,101,514,492,181,
675,612,786,090,965,764,837,481,315,708,738,265,437,568,317,968,975,852,292,
918,488,539,236,939,991,632,900,887,448,173,269,805,790,075,309,605,319,103,
878,961,795,402,912,916,608,863,946,537,794,724,111,244,351,691,098,440,282,
447,497,446,212,430,470,443,056,584,281,153,728,890,309,033,730,530,947,603,
271,945,068,344,079,346,659,976,643,936,287,774,375,881,807,050,257,502,119,
452,689,276,820,722,595,416,198,380,807,606,893,732,989,331,923,898,803,943,
176,547,386,475,471,756,457,063,808,576,143,756,106,963,606,041,109,597,876,
872,704,437,579,626,726,611,856,237,824,889,392,564,235,891,405,378,247,028,
270,514,602,386,451,571,464,689,804,695,971,972,826,018,868,166,110,894,396,
611,540,477,088,125,217,728,733,445,830,082,788,976,943,927,903,324,676,912,
909,605,658,606,541,588,903,758,169,069,376,330,104,548,191,564,148,713,191,
285,974,878,828,316,033,140,478,410,613,519,107,530,281,220,346,020,989,908,
571,717,654,544,982,943,950,442,425,859,807,293,410,561,512,116,832,254,697,
186,046,793,373,304,933,711,941,801,570,368,778,615,875,860,437,148,143,186,
563,987,284,829,839,748,589,100,278,209,859,410,065,580,824,044,627,663,532,
739,078,790,732,149,847,553,658,432,066,626,177,021,046,948,406,677,639,858,
106,753,702,628,153,223,874,831,234,754,960,966,054,390,725,965,343,292,357,
670,862,809,918,676,843,280,225,936,863,334,258,368,609,265,530,527,661,574,
681,862,801,987,120,285,572,181,276,521,664,559,332,910,736,702,410,938,207,
600,535,640,612,875,803,421,561,975,127,932,791,720,660,949,547,760,702,449,
909,104,022,355,391,289,213,377,825,215,950,577,508,511,771,777,651,709,811,
116,658,721,757,234,665,417,731,870,487,426,468,810,857,432,779,506,687,992,
216,593,865,127,018,384,833,209,973,494,649,375,564,196,900,209,654,847,026,
596,209,348,599,038,366,867,386,075,901,608,585,764,288,214,797,137,334,525,
218,622,112,843,493,771,420,012,039,362,713,088,786,839,179,785,231,528,489,
041,389,411,486,606,438,042,711,647,874,053,442,526,662,744,703,393,457,230,
886,056,445,213,155,904,204,314,185,054,856,660,388,796,110,405,809,276,334,
461,802,260,571,874,137,673,105,104,833,336,366,320,501,533,065,374,941,930,
983,880,131,353,641,844,176,654,141,064,572,024,029,793,619,294,952,267,213,
261,695,545,469,310,614,088,932,334,278,048,158,084,286,485,766,356,585,600,
005,328,644,436,638,256,489,842,386,334,835,957,067,038,855,674,114,962,231,
686,959,015,190,541,349,928,549,495,884,325,855,611,900,438,637,326,995,989,
182,763,941,699,529,124,413,975,233,719,785,803,441,434,543,079,516,340,297,
782,306,368,332,006,387,655,480,228,926,305,687,856,103,659,920,846,506,249,
524,537,694,296,632,597,001,492,671,152,396,281,015,927,280,361,917,297,142,
777,304,755,330,062,313,243,624,858,712,822,341,417,079,349,958,550,612,943,
322,285,809,132,671,389,849,071,625,626,223,189,303,973,964,789,525,231,670,
617,866,582,456,937,246,303,534,206,248,929,216,937,662,150,270,657,465,825,
557,717,757,453,368,526,712,726,039,049,093,004,115,021,324,987,561,977,115,
798,418,565,538,883,693,422,046,859,232,257,933,605,758,767,590,150,743,193,
506,804,374,956,929,787,194,543,515,523,261,774,996,508,465,893,364,924,371,
429,282,240,225,054,981,170,888,213,863,352,227,280,418,676,002,513,100,592,
636,920,262,993,063,343,764,258,373,810,040,998,906,581,982,421,227,356,451,
096,039,142,328,362,945,314,083,452,715,860,967,486,379,302,362,343,671,144,
911,815,570,732,560,532,798,539,740,235,850,018,327,732,739,148,739,437,143,
691,970,436,425,674,504,491,549,508,907,507,661,876,594,260,861,578,108,008,
402,852,533,097,785,843,941,495,644,176,964,259,473,079,953,119,289,266,134,
990,700,455,600,615,506,838,380,160,980,659,940,234,911,073,896,843,412,009,
804,588,108,697,350,097,685,743,646,617,579,985,178,305,828,941,819,036,366,
348,236,782,888,705,445,426,166,841,109,958,673,112,036,010,876,649,138,297,
370,692,254,119,557,617,377,631,982,034,897,276,302,893,684,477,507,218,893,
304,092,225,801,120,929,656,752,363,301,366,461,637,169,739,752,846,340,028,
037,775,012,980,432,572,389,271,639,348,511,138,132,972,104,779,690,317,360,
170,551,884,618,341,275,323,874,354,072,812,539,293,623,030,358,633,303,908,
608,621,916,866,013,017,553,938,566,861,214,797,561,019,921,582,112,884,977,
863,590,188,825,524,350,391,922,004,357,513,691,169,256,069,822,675,191,620,
514,994,268,690,196,956,954,578,263,102,005,929,116,571,728,031,102,750,660,
158,594,775,398,099,289,190,299,286,550,495,898,462,012,998,238,276,216,892,
461,592,022,916,504,206,998,493,894,051,316,384,138,762,118,428,343,970,786,
960,472,378,562,234,250,425,027,182,833,306,476,990,230,347,453,218,252,656,
099,033,590,890,294,202,641,337,604,688,273,531,759,600,108,012,405,178,559,
602,835,779,308,011,289,253,451,043,815,997,338,010,915,921,736,286,374,056,
085,164,869,543,922,408,573,937,865,397,439,957,158,779,260,333,565,746,917,
490,781,497,661,084,621,540,719,442,685,398,002,457,730,050,807,911,503,855,
165,960,437,475,204,179,951,894,945,382,283,828,769,960,556,703,035,974,937,
667,692,794,140,421,812,039,508,094,995,862,177,962,238,331,980,697,213,281,
545,308,098,267,749,239,285,531,904,302,856,178,457,522,846,614,233,881,131,
690,397,662,293,328,805,515,848,767,782,485,040,391,090,133,105,660,911,641,
368,054,449,648,775,419,624,979,114,016,048,865,486,211,933,016,736,024,856,
059,163,516,488,557,245,249,660,026,975,526,713,040,405,343,098,145,996,206,
183,454,494,626,849,866,805,896,619,194,962,315,138,004,680,453,267,995,102,
470,911,958,569,551,241,182,004,379,684,509,781,621,739,726,320,856,237,651,
595,189,783,939,236,129,607,578,046,248,586,897,827,941,941,747,998,860,614,
322,045,230,342,645,010,475,841,943,915,920,324,557,601,597,218,778,561,195,
235,325,058,191,214,011,608,523,458,995,969,936,687,929,309,258,710,725,267,
235,721,576,224,724,032,404,180,967,640,331,025,122,163,054,464,994,392,534,
675,676,657,079,419,521,111,293,345,761,885,396,272,052,182,199,261,723,198,
092,186,052,241,870,163,703,726,812,609,614,675,959,635,546,707,284,620,308,
604,891,569,375,418,922,165,831,945,657,826,498,702,369,261,286,741,804,266,
369,845,286,660,184,573,453,431,013,340,090,020,976,953,064,751,009,229,179,
505,825,277,658,311,065,605,817,692,203,277,703,400,446,045,026,670,803,735,
961,747,416,171,459,733,323,524,228,501,653,338,970,388,016,620,841,714,293,
227,348,086,634,016,349,757,723,265,794,116,246,215,814,570,430,902,777,936,
733,490,993,396,863,688,049,778,425,587,888,496,250,476,588,824,042,042,465,
321,011,433,601,864,801,992,506,128,531,685,211,413,765,360,654,145,353,872,
106,129,512,280,122,092,371,908,999,767,838,399,522,887,705,202,989,432,964,
378,196,175,928,290,022,153,812,980,198,838,551,961,637,253,161,669,795,798,
476,049,956,306,628,116,051,533,512,460,675,193,597,507,866,518,292,086,876,
518,353,763,216,896,793,781,038,077,991,350,811,128,128,235,727,570,418,771,
350,032,576,906,184,305,144,413,913,189,765,916,918,072,136,729,295,617,191,
849,349,283,426,084,997,013,954,525,524,415,992,797,793,763,599,479,238,545,
339,790,550,925,179,628,406,248,594,689,104,960,901,897,931,827,924,606,462,
744,683,290,311,400,602,379,732,784,827,393,078,997,959,858,351,248,709,464,
882,682,247,268,123,466,532,756,790,857,567,484,988,159,604,150,244,804,971,
583,797,426,093,212,416,973,045,244,478,242,264,969,932,780,366,472,819,875,
541,764,203,619,605,084,861,881,788,919,203,530,593,143,792,568,598,142,365,
661,582,793,511,752,393,199,013,820,255,132,983,132,212,136,039,616,974,506,
268,548,066,291,772,476,567,285,938,607,675,145,276,091,608,826,705,893,811,
388,344,046,459,305,649,713,973,534,475,437,953,369,200,834,996,913,397,827,
067,408,380,762,280,392,837,477,987,214,489,079,954,682,783,682,648,783,829,
905,797,411,246,028,006,615,893,326,460,138,378,160,842,625,604,677,239,791,
600,009,045,245,961,150,498,793,806,381,791,718,648,144,847,126,833,460,438,
142,945,684,051,418,179,701,330,511,416,034,465,471,113,848,977,355,449,555,
711,904,509,280,336,951,254,296,423,712,265,185,021,391,790,176,532,200,714,
378,389,407,619,199,072,405,738,342,856,729,181,875,751,382,566,300,056,235,
291,466,356,329,605,485,159,543,441,449,814,937,316,971,808,525,957,517,143,
920,149,921,260,154,126,267,907,032,546,006,436,567,541,719,948,370,554,274,
946,340,347,848,508,962,064,371,018,631,503,433,734,678,394,969,409,082,252,
813,378,603,890,590,913,565,190,803,911,229,330,079,791,275,011,967,546,834,
551,540,035,536,778,225,355,382,023,085,833,626,819,713,231,802,453,070,601,
117,124,156,229,070,644,332,393,341,969,343,788,716,726,268,915,206,756,184,
467,402,222,685,349,573,403,163,429,874,942,246,350,591,377,520,980,313,586,
262,810,419,660,674,616,567,192,147,706,776,298,785,544,860,165,949,883,243,
220,964,129,376,013,220,141,996,481,599,919,719,584,470,541,960,178,714,387,
952,927,496,661,391,399,385,052,759,290,025,873,035,000,400,437,634,547,658,
618,986,764,353,411,877,242,460,499,684,035,699,274,471,248,348,416,418,847,
183,692,154,282,745,336,145,218,981,046,893,551,181,678,958,872,893,834,635,
749,002,236,475,691,887,420,093,884,384,439,035,096,727,169,546,247,476,993,
505,042,438,069,947,001,429,437,380,972,984,457,334,191,351,408,149,589,164,
965,947,074,817,532,570,207,785,828,501,878,559,677,642,172,729,474,228,217,
352,233,592,736,716,899,931,627,436,896,996,943,733,931,780,897,724,052,080,
309,509,314,749,435,310,524,302,046,885,623,141,348,916,496,515,012,236,691,
547,530,557,608,226,052,915,211,763,699,598,015,504,412,651,964,390,889,965,
925,974,940,545,544,438,873,139,574,701,641,194,496,177,881,338,534,827,457,
921,696,463,093,082,417,785,363,740,707,902,163,215,751,875,525,202,447,749,
484,349,912,129,957,856,303,755,727,447,872,497,901,483,689,689,160,519,852,
128,518,737,644,416,528,470,931,557,118,287,719,142,336,880,639,486,400,884,
187,474,532,563,112,843,790,210,792,488,594,825,448,255,220,070,155,790,742,
773,931,951,557,719,576,641,000,959,484,493,046,459,073,243,424,743,507,186,
065,935,984,823,485,704,964,945,352,727,234,412,850,671,671,384,723,948,660,
911,644,237,882,405,543,310,388,258,143,328,136,266,554,705,964,071,123,755,
479,171,760,225,096,436,758,329,533,252,451,013,368,605,784,480,384,056,884,
090,018,623,684,544,642,703,532,830,239,432,115,251,575,576,460,885,820,175,
276,228,598,873,742,838,521,028,877,619,335,363,426,084,986,960,509,353,027,
287,073,873,544,447,686,259,118,369,585,182,692,465,665,452,662,398,895,186,
351,176,083,560,000,653,504,764,958,200,707,374,372,054,412,091,054,692,472,
099,078,777,621,890,038,458,960,645,575,518,935,615,096,158,145,265,451,839,
046,455,049,251,874,759,023,146,052,898,281,051,713,516,514,770,058,728,101,
683,629,173,357,363,084,294,249,388,815,797,774,886,074,934,342,265,821,423,
773,951,844,649,453,754,337,687,871,785,997,938,481,196,677,108,956,064,776,
409,934,711,231,547,853,960,022,367,604,601,134,733,757,461,285,946,751,077,
934,245,489,530,012,427,607,101,623,707,781,338,871,715,470,668,714,708,690,
135,688,058,296,652,249,362,195,675,971,820,098,828,764,686,043,843,976,956,
345,559,427,748,001,276,731,304,614,456,647,483,883,393,301,572,668,905,749,
201,818,375,077,699,150,603,269,036,615,891,566,556,452,658,224,868,344,145,
351,323,067,315,354,096,798,568,540,190,455,759,241,148,973,506,800,349,009,
424,381,462,293,768,665,600,122,441,757,452,726,445,639,570,539,498,237,814,
429,335,852,367,884,605,650,275,237,428,272,682,206,085,427,761,834,266,239,
385,211,389,796,524,399,004,014,780,422,388,569,149,615,207,496,868,413,559,
647,516,677,615,484,939,897,356,126,707,995,576,931,873,510,258,047,022,253,
159,847,048,794,856,493,072,985,889,901,723,198,968,673,446,517,001,344,987,
060,140,304,055,843,333,925,084,071,997,531,008,882,235,322,732,650,640,508,
749,467,353,720,286,744,830,343,480,054,509,665,533,833,738,190,753,873,709,
154,674,755,608,612,411,494,839,852,416,591,700,525,041,003,602,513,144,492,
643,821,722,622,964,191,461,824,916,661,630,768,668,452,302,604,856,502,317,
715,818,502,024,664,741,943,043,844,964,109,558,627,873,418,552,234,026,058,
433,640,423,886,324,549,342,263,359,351,667,014,754,273,439,928,299,828,124,
056,862,560,608,149,910,008,455,879,212,563,388,840,014,108,633,557,189,231,
697,885,159,355,805,919,146,281,807,762,971,539,278,665,120,744,552,028,983,
034,689,609,833,688,497,540,094,275,994,923,327,899,139,782,288,667,397,508,
792,663,474,406,711,067,447,931,634,735,175,869,933,948,228,134,648,731,612,
360,206,638,149,529,696,285,590,931,165,939,052,244,247,784,991,857,449,842,
140,793,167,694,766,994,328,799,464,744,046,927,600,227,843,048,032,810,886,
003,748,813,509,448,188,851,857,264,695,230,187,102,325,610,242,873,471,331,
317,992,929,709,411,779,213,730,867,588,486,580,934,427,470,022,729,480,718,
762,537,619,278,300,494,789,478,656,992,565,280,689,704,898,451,125,396,601,
833,504,091,404,924,029,191,671,265,381,479,920,273,167,769,285,312,931,339,
814,972,331,024,933,934,755,363,426,708,478,386,457,805,259,271,376,624,240,
887,067,415,544,358,209,043,011,315,800,302,000,442,322,650,491,573,240,229,
731,305,113,116,147,580,076,033,708,443,230,070,416,246,752,382,131,536,900,
178,201,334,853,552,031,412,657,768,301,883,001,183,817,792,465,891,181,996,
187,573,426,441,473,916,000,795,828,977,974,553,572,166,362,826,104,653,250,
587,081,767,856,502,176,276,222,259,941,744,361,743,077,790,460,071,689,605,
679,798,520,880,250,779,776,859,829,226,044,992,284,697,559,534,487,693,722,
453,814,053,246,825,772,129,152,755,948,597,331,880,449,587,813,508,886,133,
411,484,353,469,730,185,999,857,550,957,854,482,858,714,448,597,969,302,787,
916,118,152,952,599,740,589,912,277,334,759,702,542,793,755,516,916,699,733,
877,616,861,834,654,517,918,902,314,291,978,128,129,576,728,439,738,714,906,
355,560,738,170,274,329,062,239,719,114,307,018,177,261,941,587,922,018,457,
959,155,666,323,842,988,882,527,656,671,584,578,451,818,706,878,868,580,216,
068,569,769,957,027,895,633,659,918,139,646,799,502,039,386,728,884,729,881,
037,035,539,612,100,001,689,044,543,777,480,308,151,980,865,228,515,056,135,
351,981,477,397,654,887,682,286,791,208,120,384,862,645,927,530,877,473,921,
999,733,501,319,403,980,646,450,699,795,932,651,523,238,448,925,715,706,643,
715,842,243,786,487,166,091,425,565,347,840,823,483,135,797,351,589,172,681,
152,281,975,559,626,736,694,190,048,187,822,554,139,487,566,306,605,155,262,
096,179,966,014,343,493,073,159,033,221,285,341,462,672,329,233,887,058,558,
461,367,057,611,691,459,340,092,699,685,700,062,143,932,044,233,237,259,622,
675,544,979,196,094,152,979,668,439,451,671,376,887,785,927,614,259,663,590,
862,920,996,735,877,865,708,425,098,974,450,541,284,531,154,328,965,835,813,
695,028,943,740,923,989,059,041,938,541,739,284,725,340,069,164,807,062,054,
924,321,791,130,428,805,432,488,249,661,960,988,681,646,854,760,069,692,806,
104,912,296,614,781,913,980,867,269,981,666,345,109,211,925,936,173,855,438,
551,727,780,699,611,172,537,407,130,980,836,775,486,030,790,943,150,421,252,
965,990,135,543,748,345,619,799,909,865,836,319,107,399,889,832,368,876,169,
437,326,469,934,143,237,104,375,544,548,103,369,593,766,554,699,163,498,463,
090,777,107,479,036,408,994,382,407,257,733,449,625,535,817,887,951,510,187,
232,562,056,000,502,700,568,209,098,010,227,096,576,711,800,849,937,612,940,
460,427,173,087,918,900,526,903,090,123,419,401,652,285,339,635,036,699,940,
730,979,030,222,896,016,652,568,935,658,753,457,907,762,485,644,257,043,254,
014,646,408,341,450,484,156,942,378,002,117,702,011,562,730,428,408,564,525,
979,683,963,088,997,939,028,046,639,962,502,126,466,742,034,593,041,674,286,
914,046,542,776,910,065,077,148,762,226,754,004,302,006,753,941,839,882,532,
996,883,059,676,085,092,069,514,760,840,383,866,985,626,824,229,850,454,244,
644,367,195,032,742,293,690,706,280,325,860,067,674,992,456,037,348,850,276,
881,101,681,559,556,538,887,503,810,961,544,710,866,256,561,496,551,628,859,
709,434,443,781,486,585,503,148,137,615,165,163,672,329,688,301,352,259,326,
121,836,868,769,327,744,208,116,869,339,232,474,671,060,178,420,418,326,111,
031,665,391,297,583,030,638,815,320,209,171,355,650,332,055,604,779,375,550,
068,194,803,751,686,533,936,400,132,583,757,903,167,478,544,978,931,145,889,
148,824,121,354,133,290,493,028,442,079,555,814,165,870,750,579,734,165,598,
545,105,203,529,681,981,344,352,402,341,408,147,569,599,598,009,619,751,063,
208,206,210,686,718,557,182,395,889,336,123,298,339,941,673,143,789,022,780,
110,190,937,943,031,080,312,293,742,704,096,359,109,431,547,247,342,984,965,
190,267,700,153,339,461,064,551,582,700,777,865,022,745,909,510,911,449,652,
246,782,435,494,605,751,568,985,768,994,179,022,290,380,888,371,292,397,880,
031,310,131,433,148,228,933,376,385,662,997,808,385,172,797,083,707,240,283,
469,391,360,655,112,812,669,315,074,814,749,115,008,816,315,918,041,908,809,
951,103,422,534,849,770,141,927,839,494,116,643,588,157,898,848,147,910,978,
820,322,534,282,850,402,365,003,765,885,855,956,018,656,435,717,481,664,456,
049,894,993,364,343,043,265,709,070,183,108,016,423,185,475,378,926,036,209,
960,420,917,619,360,837,615,821,598,894,208,086,992,882,183,675,383,115,142,
998,033,221,167,957,149,188,816,554,237,928,295,080,442,383,219,187,585,331,
680,742,271,056,252,250,097,658,988,816,281,906,604,096,164,163,675,448,857,
891,643,680,211,804,292,004,467,541,308,120,007,066,813,507,892,168,426,150,
810,539,554,728,840,991,146,819,687,412,489,881,320,308,603,035,084,649,734,
584,950,854,043,453,843,147,365,487,112,881,418,218,021,869,692,831,203,065,
656,160,273,733,263,788,663,107,209,136,181,098,472,008,249,581,675,603,872,
571,729,349,100,162,328,954,183,233,526,226,083,009,457,285,057,623,195,353,
219,578,374,375,792,188,499,364,627,200,933,061,575,950,768,527,404,295,891,
297,336,146,022,187,650,028,435,954,626,238,946,732,333,547,654,358,060,048,
252,146,284,936,522,468,952,802,565,801,295,152,648,322,087,080,326,491,291,
910,865,947,947,243,088,049,408,512,919,812,386,340,599,415,907,039,295,631,
710,357,359,608,717,905,743,010,860,811,267,459,347,462,550,980,384,350,048,
509,420,826,003,584,318,749,153,968,347,881,553,155,383,679,908,726,680,332,
882,737,964,246,477,086,522,381,649,895,386,516,441,588,479,738,012,735,039,
227,039,703,522,133,486,739,061,439,038,720,127,004,892,611,717,023,109,761,
080,727,636,733,694,817,620,607,318,272,061,486,051,486,092,537,374,993,556,
175,337,786,069,051,706,331,053,591,579,251,788,453,208,153,448,422,958,400,
125,376,391,399,468,371,587,420,546,417,405,846,976,033,794,812,735,916,134,
465,200,667,328,449,246,877,889,379,477,230,907,770,512,217,816,243,317,853,
456,020,792,334,748,564,500,534,719,622,204,273,172,859,503,495,234,398,638,
282,422,826,087,987,849,239,066,660,914,443,180,236,779,376,302,305,624,192,
878,485,671,495,349,678,914,582,102,816,456,160,385,861,091,333,601,886,541,
129,015,098,436,341,271,004,852,903,376,350,657,180,893,120,359,547,631,706,
673,404,241,591,730,654,026,165,768,739,370,408,951,531,294,492,307,560,940,
013,885,460,992,124,059,317,065,946,165,472,669,827,134,107,442,320,899,332,
161,872,474,023,380,195,049,018,571,077,217,664,533,699,064,820,380,813,526,
730,651,687,194,463,843,877,105,429,783,265,771,247,294,410,783,101,550,735,
869,217,317,354,267,364,435,007,763,726,857,818,223,096,418,304,013,201,784,
977,800,234,623,993,403,996,445,698,775,411,428,649,780,742,689,346,557,469,
336,571,036,353,490,309,881,281,214,860,957,222,629,784,767,390,774,620,253,
220,432,052,136,507,645,242,060,308,126,050,302,463,621,992,664,254,215,534,
084,366,012,335,889,207,008,732,367,440,361,744,481,276,971,507,351,483,540,
547,423,758,930,291,420,818,755,531,426,473,774,048,638,723,260,058,412,389,
797,995,274,348,857,184,258,341,496,775,021,665,537,423,211,303,079,041,532,
858,181,287,870,448,211,702,711,326,535,360,252,367,835,719,148,859,928,911,
781,034,170,840,479,055,604,279,058,464,484,313,345,964,032,503,240,198,182,
079,439,147,655,443,971,555,176,712,890,178,448,543,772,218,850,148,749,268,
569,605,879,938,322,031,343,570,756,965,199,768,338,804,972,796,578,080,971,
921,268,604,588,893,732,543,749,613,495,739,634,587,668,874,345,498,582,214,
838,235,545,094,355,891,299,427,738,049,189,368,156,290,148,005,654,811,937,
763,852,423,477,127,891,946,613,509,752,047,556,004,833,095,380,872,595,992,
081,906,253,249,187,331,417,537,733,389,824,493,646,416,299,246,792,713,811,
012,444,049,705,008,908,591,285,135,424,775,780,581,418,934,680,497,892,806,
101,426,404,069,964,440,263,480,138,112,753,614,224,340,723,492,240,060,752,
447,654,696,155,629,958,700,486,209,997,317,973,034,326,644,935,207,519,795,
284,261,552,834,008,198,114,551,221,783,973,619,841,828,787,349,608,493,446,
045,108,908,947,898,600,461,090,280,500,801,062,000,885,848,260,721,843,858,
733,842,757,889,410,704,142,432,160,314,763,445,562,885,948,902,635,831,680,
092,884,601,361,230,288,044,315,108,839,121,700,721,242,022,344,474,674,923,
380,782,594,170,842,456,699,056,547,460,862,279,013,782,027,367,283,117,470,
768,491,943,068,173,017,317,122,470,863,216,502,809,262,708,221,137,648,405,
607,617,971,489,800,959,359,417,219,277,162,285,951,237,218,376,714,219,628,
733,892,368,775,525,453,348,750,846,776,309,316,916,209,062,557,671,612,237,
685,855,730,478,433,756,137,097,777,818,548,805,226,710,185,086,943,661,343,
806,175,419,617,521,717,392,612,726,130,115,194,793,801,691,147,971,100,376,
140,019,544,648,306,558,352,755,714,056,271,824,463,276,487,895,217,838,853,
302,226,085,644,333,379,592,038,433,723,515,479,522,094,986,274,411,700,772,
970,481,349,688,298,317,007,028,114,235,459,585,512,866,125,742,047,451,163,
291,438,694,682,722,951,729,428,024,985,617,132,748,383,908,645,336,593,251,
546,311,757,518,669,829,918,451,366,222,045,725,586,798,585,679,046,332,324,
443,148,274,887,309,837,739,378,287,016,235,711,140,737,182,002,588,776,666,
437,394,096,172,200,884,493,555,064,096,937,328,518,813,276,860,344,703,873,
024,931,914,465,643,120,191,406,763,291,603,119,884,085,303,489,428,689,093,
982,298,121,887,625,494,725,241,343,406,727,187,229,451,720,646,524,241,364,
528,704,159,209,551,965,290,563,603,448,859,844,251,546,430,153,104,194,370,
033,867,616,838,789,073,373,263,236,940,938,805,548,479,218,595,262,131,324,
912,679,367,348,937,236,151,225,278,691,417,774,739,860,797,112,118,224,871,
399,605,898,411,619,543,677,792,478,141,547,904,939,515,783,062,872,979,463,
449,572,292,759,434,653,433,439,904,899,263,716,372,078,853,306,985,474,735,
553,511,153,984,882,399,600,551,743,026,902,713,355,253,780,635,259,289,404,
088,102,509,020,909,796,781,341,503,575,620,928,135,191,830,655,178,615,656,
043,805,313,995,507,640,334,244,500,748,969,993,839,499,636,602,211,887,547,
927,012,320,295,185,622,516,181,258,016,810,760,953,841,474,077,974,017,756,
022,019,516,339,927,138,647,150,088,406,467,465,259,067,242,757,010,276,551,
839,181,891,428,339,821,168,967,354,826,178,114,448,686,414,609,370,862,718,
954,228,265,975,388,415,874,479,508,091,598,116,769,514,006,671,924,773,228,
669,746,363,198,666,827,382,401,305,647,574,034,886,912,281,137,363,055,659,
308,291,211,075,445,293,807,143,218,757,068,109,444,723,431,702,485,490,345,
400,168,697,618,480,812,308,475,311,962,227,643,260,140,266,395,699,536,764,
480,042,686,122,558,017,829,869,348,664,145,148,383,273,219,947,774,382,101,
297,732,142,107,448,769,349,713,720,960,257,631,665,320,212,034,545,596,010,
091,251,616,901,481,032,710,662,159,676,052,090,791,880,851,961,552,073,489,
957,327,143,732,319,627,809,374,448,335,243,043,534,581,620,722,399,305,288,
277,023,829,336,123,837,763,688,874,425,842,704,661,406,423,601,743,525,365,
224,305,215,991,106,300,932,802,070,461,590,077,792,790,370,285,828,005,311,
416,747,228,310,156,518,679,824,501,231,558,608,476,208,759,357,460,643,765,
240,899,144,040,568,232,721,747,884,224,495,860,203,620,085,826,777,919,241,
755,516,293,391,464,195,019,213,092,672,693,776,414,679,530,223,902,918,872,
237,818,579,515,623,105,190,023,028,933,827,218,659,238,504,196,322,521,622,
716,417,441,919,398,878,751,625,243,308,119,642,789,553,481,662,155,597,678,
102,963,466,083,828,768,777,450,443,280,755,663,751,057,733,522,741,363,106,
778,285,252,544,013,478,012,647,530,169,282,236,926,727,513,713,807,397,534,
455,651,671,096,918,155,473,763,235,299,049,420,309,214,320,514,741,679,077,
240,737,664,128,177,655,352,745,722,890,897,205,479,667,351,205,712,165,456,
932,051,714,051,110,162,094,094,963,021,158,961,376,663,060,374,836,525,622,
509,870,826,314,690,027,559,344,216,670,136,116,303,406,840,734,962,907,859,
740,712,826,158,186,263,825,036,837,646,460,683,779,881,491,950,218,301,614,
269,644,612,221,342,329,219,990,818,585,301,675,447,911,731,491,334,555,048,
649,552,876,191,479,675,580,399,989,591,740,458,755,101,314,944,503,068,768,
060,751,511,733,719,531,431,173,786,540,854,397,217,286,755,083,158,748,362,
864,382,493,858,298,003,072,336,529,728,915,771,361,176,444,779,180,099,940,
749,548,762,091,670,983,319,944,910,187,897,987,993,897,209,699,711,712,866,
344,096,177,783,635,847,537,887,299,140,869,648,821,834,665,991,774,524,580,
812,180,972,545,981,107,611,061,118,911,976,940,317,859,897,548,287,413,842,
159,706,420,629,344,511,479,195,267,216,995,601,890,383,613,496,294,193,730,
788,525,891,803,726,219,961,879,425,057,190,695,175,405,018,551,591,420,257,
672,424,517,405,867,882,480,638,326,024,743,124,768,163,973,495,996,109,848,
613,324,027,922,316,245,441,233,239,821,399,328,571,851,725,043,878,754,916,
470,648,110,732,277,789,505,156,074,137,690,307,857,753,395,051,028,771,045,
921,585,382,572,034,078,611,974,446,442,881,919,964,176,155,134,327,290,357,
361,704,831,469,737,148,564,106,538,450,166,794,482,065,753,542,906,754,279,
069,082,153,462,423,456,815,093,376,565,161,787,452,308,831,984,631,006,482,
690,103,958,861,142,040,683,530,585,403,438,143,100,297,183,484,615,880,137,
529,248,599,401,712,314,646,720,388,271,506,034,261,279,076,792,949,143,965,
902,402,437,638,627,010,655,507,194,964,904,492,152,449,995,959,793,693,937,
831,038,938,029,844,605,472,153,407,635,654,495,552,266,215,793,777,692,556,
515,918,919,254,959,619,031,273,019,396,913,185,787,916,154,589,322,272,425,
008,948,082,909,432,952,174,610,192,372,799,622,136,460,134,150,446,321,317,
008,055,085,170,401,297,438,077,842,534,388,718,731,709,716,122,640,238,748,
222,436,260,683,342,971,096,959,860,528,917,717,553,017,598,696,705,349,195,
611,367,934,040,337,030,951,793,369,144,280,467,152,884,916,434,788,150,371,
398,912,167,833,375,714,161,030,548,525,115,427,437,477,348,635,064,489,317,
703,497,648,472,252,075,020,254,697,723,307,648,890,385,119,203,569,108,471,
181,815,726,449,189,036,672,477,299,978,897,190,616,114,818,840,668,568,607,
144,765,478,529,152,309,077,131,540,342,381,200,363,827,984,008,612,173,822,
965,298,219,643,419,073,751,549,261,821,391,077,725,335,371,737,682,678,241,
558,290,692,534,335,816,913,880,284,885,020,377,659,857,118,235,527,902,720,
814,340,676,037,811,515,791,257,081,940,047,289,074,037,912,287,649,254,820,
504,236,617,424,571,183,481,402,932,920,778,968,430,130,045,405,634,545,897,
709,673,039,765,314,845,504,319,967,576,630,524,179,471,759,321,457,319,035,
597,790,299,381,779,494,115,371,087,053,971,911,027,030,801,927,860,619,922,
623,628,342,284,366,766,273,755,385,981,986,165,150,707,185,998,426,263,443,
758,046,825,406,332,516,367,984,177,485,026,787,632,505,414,497,165,710,285,
939,275,834,909,848,481,097,389,388,673,889,801,531,295,484,596,827,646,914,
439,732,959,347,292,539,491,127,381,522,315,086,192,746,212,682,999,091,334,
234,553,685,296,879,267,896,180,431,488,660,244,392,409,626,468,966,116,503,
584,194,545,518,525,125,360,322,425,455,885,665,113,316,340,529,830,149,983,
124,038,081,942,770,314,809,850,889,699,085,585,724,347,852,971,744,561,195,
351,163,184,053,870,185,680,573,490,863,540,148,575,493,937,025,334,074,770,
106,532,896,494,250,170,977,918,569,695,568,142,562,267,547,747,867,236,385,
081,567,886,651,503,175,072,374,062,490,005,932,357,817,791,764,047,628,955,
714,733,695,668,163,638,108,812,068,073,355,956,678,411,663,456,235,552,828,
867,495,418,431,042,522,306,675,719,174,638,400,648,499,537,591,183,041,563,
361,747,627,467,547,567,190,991,678,877,706,998,643,081,532,398,703,505,471,
214,038,185,382,053,212,993,832,003,390,118,727,211,720,778,163,649,041,565,
857,090,490,395,567,431,954,994,589,881,151,804,584,863,980,004,817,953,903,
706,789,637,394,083,186,458,695,991,760,537,237,987,433,165,524,112,455,797,
368,821,046,698,558,760,614,522,808,945,482,011,333,965,795,120,262,753,050,
771,033,732,653,976,838,681,540,567,057,742,492,806,424,570,980,557,106,429,
909,301,769,428,480,180,544,830,227,463,882,603,260,469,206,129,259,353,426,
544,031,290,020,563,898,386,459,740,210,773,733,705,724,555,765,608,464,478,
756,766,457,720,835,793,123,011,476,259,816,551,406,602,193,987,710,335,364,
849,829,148,457,260,428,525,749,134,548,466,907,237,529,504,686,520,241,383,
095,705,066,620,438,371,813,748,652,743,780,065,150,355,740,064,403,820,043,
087,818,430,233,623,012,263,083,138,900,609,711,205,512,324,347,924,584,904,
660,984,493,430,605,165,710,337,551,009,884,795,252,326,426,183,770,920,368,
208,355,373,531,500,656,263,410,206,972,661,388,607,171,016,253,787,890,394,
827,554,746,608,897,156,230,822,366,373,446,420,497,084,982,320,700,325,312,
027,051,567,500,492,721,909,571,518,268,094,441,687,668,180,019,418,308,109,
081,753,652,194,711,491,135,795,180,500,714,283,311,094,381,891,095,203,013,
751,538,714,827,757,457,319,554,362,680,344,747,791,577,554,048,766,074,041,
089,624,828,182,016,945,938,541,909,195,458,544,967,645,831,323,925,641,950,
811,372,177,718,067,712,678,198,972,492,495,717,669,352,303,471,089,595,563,
946,024,403,743,999,541,426,340,023,272,657,251,197,523,716,666,172,693,627,
055,007,527,541,242,553,980,840,271,528,893,699,505,801,995,110,118,220,409,
792,426,659,233,550,276,368,112,657,514,350,675,039,605,513,345,988,944,318,
615,576,157,308,380,514,046,992,102,609,334,701,032,052,266,203,448,180,054,
112,798,147,881,218,236,695,796,141,189,026,520,022,572,411,410,344,722,060,
455,435,563,807,427,186,620,210,012,451,295,578,235,171,499,381,473,295,271,
641,634,934,739,346,502,736,089,658,919,398,618,680,320,862,437,104,323,482,
707,083,541,039,926,444,168,106,972,857,918,205,897,723,406,716,729,071,894,
749,114,917,458,497,642,327,811,714,276,615,594,080,458,358,650,377,245,084,
142,928,459,486,121,177,024,911,417,132,501,864,902,743,895,505,849,811,826,
673,210,855,554,064,998,879,644,469,982,593,799,946,879,433,720,039,786,273,
522,146,050,030,897,452,576,573,749,749,810,614,105,587,041,922,303,970,532,
147,847,574,956,838,068,853,764,652,243,938,160,626,273,393,534,498,964,825,
510,051,585,215,457,431,290,375,170,222,210,861,693,925,264,473,192,651,585,
141,263,657,761,857,247,948,701,481,440,438,696,222,845,474,521,497,539,431,
826,448,626,507,987,402,591,262,381,869,517,826,236,625,184,735,072,530,891,
614,768,470,017,609,750,009,823,742,508,932,070,392,938,118,674,864,318,651,
865,955,778,455,639,562,371,508,091,157,776,196,369,433,926,857,529,152,305,
207,727,807,593,378,433,155,656,283,597,355,879,911,231,212,347,635,310,948,
733,535,421,069,788,597,894,685,292,204,228,989,294,329,677,245,620,019,189,
670,230,724,444,813,538,688,851,928,159,206,274,030,510,254,907,936,936,895,
023,944,501,953,597,228,096,320,954,484,384,138,810,313,784,025,075,884,414,
111,569,369,910,470,368,274,250,974,501,393,637,836,788,262,516,674,949,961,
265,428,039,684,721,515,950,667,397,390,433,698,550,655,075,149,064,049,609,
163,282,367,934,962,398,916,939,374,588,984,528,661,680,148,087,101,735,078,
939,419,727,764,819,210,667,644,041,061,068,479,524,234,961,968,084,978,170,
222,602,159,675,414,306,905,607,894,757,374,335,293,027,005,002,141,606,417,
894,314,932,240,953,022,334,337,068,334,601,554,186,636,676,155,250,049,525,
549,313,369,502,483,453,801,226,486,687,346,502,263,370,359,700,133,778,695,
270,641,373,420,641,916,139,275,949,892,967,798,457,313,989,641,601,790,223,
905,675,847,542,789,904,961,560,199,664,318,391,099,190,982,440,639,870,977,
360,557,549,198,347,989,306,744,281,360,565,268,417,941,899,461,930,408,995,
396,205,615,526,956,175,726,322,015,970,648,975,833,755,166,906,947,513,166,
025,095,067,059,089,766,688,942,932,338,771,257,455,770,371,748,721,023,435,
845,156,047,294,330,288,900,121,865,976,398,193,579,032,266,691,203,135,219,
963,598,325,017,949,991,430,907,430,115,503,670,850,574,573,193,897,802,019,
756,992,602,834,241,957,246,687,530,987,646,794,306,262,209,507,778,749,048,
582,321,668,227,967,940,122,549,759,242,028,026,439,828,218,377,083,454,117,
725,073,725,918,106,044,572,590,610,726,358,906,700,049,731,987,388,407,633,
290,278,391,283,741,216,116,304,547,540,530,287,574,394,355,687,181,277,785,
042,191,577,713,091,369,182,807,026,577,748,789,526,839,693,810,077,779,538,
064,020,372,625,585,633,452,856,268,968,881,688,929,297,917,697,963,304,832,
012,961,372,664,383,235,270,856,367,538,319,771,362,366,860,109,578,577,510,
859,232,461,310,451,793,514,615,744,346,863,840,530,264,672,163,973,694,125,
941,233,019,868,747,807,634,372,065,306,172,034,596,903,551,876,411,865,029,
906,895,449,315,811,221,706,160,276,768,050,248,868,427,135,566,121,549,516,
031,193,017,300,770,906,937,850,273,994,585,825,956,027,914,913,744,711,057,
711,256,478,168,770,536,701,668,119,913,592,694,398,295,628,633,655,675,853,
973,662,990,365,600,103,299,876,362,172,146,431,797,845,706,034,823,277,837,
008,083,253,769,798,598,606,861,467,305,008,668,100,500,302,885,722,659,978,
533,139,213,243,467,626,172,160,861,364,579,363,405,478,151,288,547,950,123,
643,988,186,923,152,907,555,576,625,136,094,401,769,204,724,700,083,528,433,
795,345,252,685,455,897,403,739,360,401,220,950,736,472,511,784,594,373,780,
455,242,330,904,095,099,530,377,987,812,467,280,745,811,044,331,711,211,799,
143,391,478,159,982,437,598,989,736,169,921,121,500,080,140,821,464,144,481,
336,148,399,205,859,007,263,652,823,670,559,855,833,258,718,765,892,790,195,
722,789,124,384,344,710,736,411,445,881,058,758,783,689,603,040,046,909,598,
753,714,747,225,041,527,844,706,025,675,048,467,884,053,974,075,389,639,714,
129,357,852,584,563,145,805,149,334,191,567,190,241,485,905,616,539,913,083,
373,188,564,151,248,233,970,093,816,726,698,672,463,291,306,754,831,098,191,
718,034,420,125,961,006,839,277,527,542,646,139,382,776,066,184,123,967,124,
827,797,705,135,986,289,609,116,943,963,056,412,650,696,106,780,080,224,444,
922,861,599,016,602,299,019,715,926,727,962,156,599,382,831,923,817,416,367,
744,392,845,541,007,590,688,364,774,763,227,915,855,133,612,458,240,072,186,
356,570,013,647,937,827,284,561,599,137,889,926,077,522,992,861,206,026,884,
882,119,785,716,719,544,019,550,337,616,407,835,187,795,978,251,003,694,549,
230,223,578,104,936,558,531,207,229,732,124,239,257,072,369,492,724,578,012,
584,939,336,876,465,753,095,407,633,882,320,831,448,676,314,928,925,862,145,
704,642,075,088,838,487,187,023,420,184,985,475,119,192,995,115,236,527,922,
428,522,575,296,088,649,323,474,325,060,880,033,545,455,926,126,492,929,680,
382,980,474,598,150,120,792,911,210,359,564,140,027,082,444,108,661,880,537,
172,975,763,296,400,385,111,941,582,940,437,633,943,176,373,143,462,483,922,
288,580,375,174,501,081,479,088,944,945,738,057,930,757,703,026,135,812,717,
289,979,240,146,849,915,716,967,521,043,460,784,573,713,510,496,967,673,291,
698,886,933,833,588,851,287,396,174,616,512,671,711,197,206,375,463,896,315,
162,106,479,842,739,415,914,276,223,873,538,187,591,152,904,056,361,409,077,
183,456,683,735,081,697,036,134,416,973,821,289,226,910,780,892,571,675,561,
383,567,954,234,229,329,050,711,127,456,018,565,410,691,691,796,358,849,045,
686,000,033,354,862,355,104,484,927,414,698,606,977,044,639,355,534,094,702,
895,028,696,183,878,004,629,050,341,825,907,603,723,413,610,498,127,056,382,
221,154,284,676,964,796,668,269,134,439,644,959,921,815,880,650,436,361,875,
497,713,351,683,836,381,089,894,701,700,160,648,282,593,619,040,262,866,612,
326,533,801,009,834,885,600,878,933,641,656,304,362,624,808,640,349,559,854,
471,091,956,874,238,963,502,607,680,028,734,504,692,850,668,094,329,507,306,
374,072,180,614,220,799,807,529,147,568,016,006,745,271,124,409,164,595,228,
084,719,060,880,716,773,020,680,257,139,260,977,843,560,112,108,351,628,378,
548,102,958,066,808,524,009,088,416,306,811,782,502,647,172,004,457,415,511,
561,476,211,273,900,919,913,369,069,866,672,021,138,697,960,048,915,061,825,
824,635,320,875,536,182,136,884,386,835,912,352,115,829,686,081,185,608,018,
220,079,085,440,477,541,186,904,873,563,118,215,900,884,607,692,462,738,449,
421,752,116,343,858,011,683,420,563,926,307,803,962,041,421,087,685,907,662,
823,601,093,263,654,370,521,432,524,392,246,921,209,347,315,276,854,159,343,
803,043,462,983,451,089,056,531,710,720,550,946,209,636,213,714,077,724,603,
833,924,357,594,173,520,404,701,247,333,469,886,192,559,190,598,500,746,014,
266,541,617,747,847,610,491,075,164,513,166,869,538,177,486,577,467,996,705,
596,409,198,580,647,158,770,853,263,823,101,836,577,387,934,557,449,604,648,
074,627,162,932,257,460,166,743,804,616,581,138,374,638,068,866,121,109,321,
451,533,055,662,971,267,913,927,113,284,731,649,834,319,295,969,443,235,023,
462,673,611,024,416,598,192,165,217,784,845,804,048,492,721,010,472,211,686,
279,619,173,638,588,443,711,750,767,314,505,568,110,704,118,743,323,835,537,
164,070,512,101,636,289,394,123,103,949,487,856,776,624,128,159,078,304,440,
123,878,453,697,990,798,237,735,852,997,974,036,914,400,351,325,069,673,547,
103,775,014,512,586,716,528,505,461,665,776,803,440,559,008,239,064,271,193,
266,481,018,996,760,956,693,735,450,093,403,099,619,736,416,232,489,207,871,
295,807,935,742,053,181,022,326,147,875,420,016,695,967,081,067,020,226,414,
919,845,841,962,577,149,562,805,080,050,398,334,479,360,873,384,544,948,724,
690,534,941,980,425,504,405,432,569,902,881,887,287,883,137,485,571,876,318,
535,951,846,317,304,641,968,696,813,306,639,372,256,427,797,287,102,279,881,
933,649,941,646,920,665,665,290,531,711,793,964,857,020,554,294,738,600,375,
187,579,690,445,224,792,160,498,748,919,708,082,776,508,849,242,777,932,669,
202,990,519,690,621,185,237,951,758,252,063,861,789,040,480,815,902,965,829,
058,083,078,151,318,846,253,034,303,859,666,325,333,013,006,088,318,245,422,
389,018,140,558,256,138,163,509,104,876,103,311,372,232,034,922,004,196,878,
070,715,188,320,523,003,105,223,244,682,497,214,555,631,596,005,704,945,659,
278,878,423,639,356,125,265,321,597,529,768,539,527,014,465,027,520,421,325,
394,912,194,028,187,779,447,627,033,998,930,830,466,147,152,763,285,109,583,
393,917,591,369,783,870,160,060,216,804,721,900,930,296,603,386,443,505,073,
009,200,783,094,100,144,071,496,804,248,648,470,026,642,314,464,226,406,923,
537,053,065,504,237,817,721,415,130,602,320,149,803,856,864,718,404,394,997,
311,299,420,745,644,290,420,640,549,512,257,803,991,898,417,722,486,803,953,
056,937,531,773,280,345,923,992,005,646,095,229,263,938,957,762,607,809,773,
939,223,925,020,650,966,445,360,020,362,540,795,551,225,642,803,707,766,311,
723,002,437,133,042,855,758,472,996,919,260,609,415,990,951,194,154,996,432,
775,849,603,237,498,595,476,387,802,061,900,501,810,721,019,894,597,667,047,
548,805,586,872,103,449,765,211,296,312,478,422,900,310,468,766,873,418,612,
195,338,119,477,991,599,390,511,920,737,509,901,030,996,966,502,666,045,780,
122,611,532,366,014,897,700,991,407,997,456,042,716,928,979,139,366,697,350,
858,736,527,097,417,489,837,278,096,161,586,516,590,609,573,882,326,027,101,
688,324,761,680,802,047,631,467,770,133,184,357,257,902,011,208,519,359,984,
333,396,779,776,916,907,978,768,360,910,147,713,133,824,378,965,202,496,374,
677,099,379,894,800,641,847,137,690,570,931,841,202,330,925,098,343,488,807,
525,881,447,958,348,056,380,656,433,444,977,874,411,857,052,142,165,335,937,
139,958,192,694,604,618,852,214,964,253,347,308,706,137,679,223,911,575,103,
124,777,483,018,286,028,879,875,054,775,199,126,763,549,616,018,850,967,282,
344,381,568,242,663,650,680,483,178,806,158,989,034,823,083,856,156,116,580,
527,744,717,604,677,691,389,319,891,423,749,460,520,637,558,423,903,220,798,
442,744,616,022,165,967,205,552,016,864,415,392,163,988,936,616,692,072,256,
105,024,304,902,914,155,392,026,259,069,224,544,646,110,763,944,139,392,170,
674,108,722,997,134,571,100,433,369,095,804,648,200,293,616,557,601,839,510,
986,780,078,316,924,928,777,635,962,741,751,715,450,431,091,396,140,195,923,
464,522,962,577,039,207,263,547,389,267,107,253,209,016,507,679,092,301,311,
927,489,790,014,915,818,662,112,923,405,469,647,317,904,337,358,161,981,076,
488,235,304,137,336,411,192,285,521,232,014,369,928,190,611,477,601,749,653,
623,184,503,823,817,945,059,729,479,162,138,528,336,081,302,051,552,584,602,
483,693,027,164,057,902,769,445,507,675,302,112,431,141,421,995,567,550,429,
919,378,183,064,694,339,873,784,258,191,195,133,884,203,541,003,585,670,107,
632,597,079,018,567,400,634,080,624,414,284,111,811,599,124,592,465,937,684,
905,176,486,706,740,658,212,105,187,850,692,388,039,138,148,573,662,388,610,
664,342,226,375,884,018,946,613,101,173,662,116,181,756,550,019,399,787,593,
806,882,626,482,031,132,376,913,124,556,090,507,457,382,976,537,843,318,954,
413,376,196,730,771,868,319,069,890,757,381,293,630,067,302,267,872,832,684,
864,715,536,837,457,976,949,816,516,381,208,483,321,294,503,017,783,318,932,
531,908,632,467,360,933,672,038,883,119,923,257,526,950,191,256,236,660,751,
473,377,258,913,584,193,468,294,083,944,355,774,321,729,547,373,356,976,660,
179,981,911,372,518,160,670,809,294,260,318,070,661,846,997,286,146,559,831,
498,434,603,508,827,955,726,599,617,743,081,627,342,331,231,781,901,949,578,
374,270,326,541,584,092,388,255,711,949,937,386,499,447,684,600,071,395,982,
670,241,010,361,754,446,307,381,057,929,755,762,448,476,957,281,284,194,848,
759,451,135,274,728,953,602,846,506,238,745,812,516,042,433,309,093,237,137,
685,861,777,925,217,467,423,165,480,172,159,036,990,336,759,667,873,001,194,
574,559,796,929,585,691,611,831,152,081,648,562,993,829,903,585,004,014,237,
679,774,661,744,857,588,396,726,128,467,405,560,812,973,621,036,396,039,314,
833,415,872,261,329,932,307,265,591,717,636,262,466,258,861,087,891,995,138,
536,580,876,483,482,356,796,989,277,026,608,850,074,812,329,759,557,811,300,
239,488,222,846,632,939,553,456,569,840,676,173,175,460,388,263,623,705,981,
462,305,763,077,084,806,414,927,388,332,840,478,962,693,482,953,313,315,731,
570,385,254,873,820,048,793,406,042,929,136,453,957,507,886,269,960,149,669,
391,607,099,186,725,566,997,575,200,327,581,854,562,127,380,903,797,239,442,
144,153,414,368,847,167,483,875,253,070,454,956,492,502,571,960,861,221,858,
152,945,916,183,579,878,678,071,098,324,564,820,993,991,553,642,126,534,889,
669,166,705,951,793,262,839,910,370,277,069,475,013,488,675,378,678,909,114,
751,603,696,627,849,355,890,934,811,420,856,441,073,947,444,558,126,597,684,
331,996,397,433,057,704,188,587,914,807,124,096,457,819,439,123,551,429,359,
467,604,620,225,972,447,142,600,641,293,642,713,687,116,822,632,620,390,892,
814,850,016,897,334,021,465,684,545,836,686,746,553,991,678,517,257,545,386,
910,959,553,802,565,033,850,191,450,883,101,677,015,120,110,283,028,026,262,
554,855,181,953,505,637,886,497,602,972,224,552,545,005,054,834,066,480,041,
224,238,811,992,194,441,641,961,006,487,372,701,382,407,186,577,091,527,472,
143,935,684,903,974,546,503,632,084,441,729,338,989,322,850,706,168,990,314,
172,073,717,801,139,247,740,190,581,799,811,695,187,646,489,950,040,817,051,
175,665,475,750,232,673,124,714,409,447,686,170,308,023,795,742,492,655,322,
291,742,424,300,077,549,596,521,759,894,261,019,792,864,775,050,302,520,681,
087,592,784,656,009,574,818,616,273,133,644,648,367,354,625,573,217,710,537,
631,335,383,265,217,666,932,088,972,864,278,823,070,557,042,811,152,061,745,
895,008,370,412,044,746,937,192,889,417,062,848,319,866,362,436,132,754,063,
068,205,015,575,473,043,775,723,609,794,994,865,437,507,983,504,141,122,484,
750,634,782,689,026,597,591,098,754,659,670,760,140,497,026,451,382,377,726,
852,813,673,694,634,236,381,028,701,437,724,517,002,471,730,625,571,466,056,
877,449,049,926,732,726,948,517,066,959,779,853,616,767,073,943,562,873,898,
782,525,916,645,500,440,296,473,161,743,055,368,734,761,852,651,552,543,718,
635,152,044,192,274,888,869,564,791,689,382,173,673,898,113,582,755,387,468,
053,195,889,887,034,163,393,669,706,750,522,907,203,801,209,876,216,267,190,
667,926,854,788,336,149,158,976,080,630,548,418,564,197,898,870,620,568,290,
825,924,185,149,101,978,483,204,499,976,240,792,000,502,740,759,012,282,665,
520,446,772,643,719,412,147,102,991,844,520,564,015,462,622,749,778,365,981,
432,325,585,022,242,276,966,967,527,160,355,025,918,222,600,465,668,637,537,
578,557,036,247,203,105,805,578,028,879,150,462,176,141,501,451,204,698,620,
547,962,168,162,363,642,761,584,240,110,272,182,180,239,322,376,273,664,046,
752,638,677,314,554,920,457,847,687,475,021,761,009,290,999,384,018,714,928,
980,739,824,321,528,023,574,132,694,397,731,944,868,326,101,394,248,901,396,
417,698,987,133,028,677,706,964,841,545,631,430,515,042,033,406,163,843,216,
797,272,747,550,118,145,335,708,679,634,319,160,996,541,230,012,194,947,332,
516,678,923,827,412,672,807,344,410,085,836,219,313,916,745,833,614,148,905,
980,269,828,786,983,608,247,636,543,444,262,222,674,095,985,130,227,575,041,
445,112,607,345,561,960,846,227,430,304,865,140,296,961,717,606,807,960,577,
392,603,663,606,315,743,066,852,449,004,609,670,031,424,160,709,675,910,338,
279,454,255,846,221,112,179,591,842,841,671,938,902,702,471,486,399,967,601,
916,687,322,228,547,254,506,444,651,423,234,352,682,273,255,230,196,489,167,
665,494,470,664,767,619,129,944,483,100,545,156,901,377,088,667,913,713,223,
737,883,775,873,551,806,565,845,757,237,785,511,829,474,740,898,897,248,519,
589,065,010,329,500,775,258,494,570,495,307,151,064,362,258,606,798,645,755,
182,539,207,558,837,872,826,217,135,653,875,850,884,230,564,883,193,606,554,
166,751,664,152,220,061,910,393,895,305,531,171,104,300,104,309,179,438,904,
964,189,203,859,007,591,048,373,763,733,006,404,904,785,268,136,548,414,789,
467,529,343,459,648,272,366,885,798,604,613,034,906,254,076,775,093,194,438,
145,476,455,437,315,250,564,502,004,088,877,935,789,164,720,498,694,547,226,
847,198,508,814,890,127,208,035,819,180,380,320,033,340,359,598,376,949,126,
917,127,023,052,469,623,817,323,095,170,256,669,620,710,599,383,682,099,522,
238,582,235,098,587,992,806,153,288,993,412,470,633,316,092,409,032,358,684,
167,782,575,630,199,156,079,055,903,607,475,496,319,663,514,693,932,272,697,
439,497,590,351,032,367,215,316,121,759,938,718,457,336,606,153,649,074,425,
756,363,643,081,710,641,168,922,156,512,007,982,009,207,615,848,708,088,390,
721,264,495,394,961,598,279,982,057,393,404,110,098,902,083,364,371,049,284,
678,325,167,477,624,676,507,326,520,616,284,589,574,794,401,936,636,745,194,
848,452,144,834,814,716,490,157,481,116,860,766,902,496,065,159,964,563,204,
729,402,467,987,524,689,845,856,162,704,005,629,827,070,025,146,557,889,960,
912,502,811,981,960,351,302,759,778,461,711,127,470,039,411,137,930,174,877,
864,357,368,981,185,920,629,678,309,762,569,804,488,400,108,330,143,137,319,
007,830,488,344,719,645,292,772,338,280,625,428,927,248,211,122,681,955,327,
697,113,478,539,127,749,651,825,649,852,942,821,834,084,915,839,648,084,252,
736,627,959,271,488,554,343,296,821,401,637,188,070,642,780,490,974,937,242,
332,810,335,321,173,780,577,934,425,301,359,871,403,611,515,345,310,972,485,
967,232,736,179,286,559,556,888,732,141,804,237,608,457,043,269,348,702,014,
379,449,010,386,469,603,128,586,545,676,178,112,043,641,042,037,970,334,571,
021,766,282,070,388,770,650,828,365,433,884,717,120,280,271,367,876,802,765,
687,989,825,064,830,734,760,434,512,981,051,682,994,922,852,372,788,846,546,
467,823,748,478,383,287,357,019,927,617,263,353,703,833,479,718,589,933,353,
558,718,206,309,920,932,452,834,090,136,818,071,555,727,516,697,857,465,461,
745,706,354,084,980,196,404,396,224,311,448,666,679,246,561,895,456,913,069,
716,708,811,159,976,646,001,971,100,363,680,793,604,456,619,273,272,832,404,
667,757,044,305,274,196,722,984,007,798,319,962,343,544,108,168,254,008,242,
205,063,800,010,579,317,059,099,753,354,438,168,797,038,825,920,261,356,965,
911,248,067,242,342,506,304,779,033,808,134,474,122,073,243,291,605,690,270,
438,648,557,353,353,255,358,197,370,307,177,247,132,433,791,352,478,549,269,
896,529,943,934,611,489,414,438,521,159,133,090,585,861,089,959,378,311,911,
277,044,917,584,094,673,430,905,250,484,750,282,197,769,550,239,829,722,454,
007,771,011,451,463,028,536,166,271,788,772,083,049,382,047,035,750,071,036,
039,067,658,738,275,031,280,423,257,040,693,752,881,401,226,901,544,210,135,
178,063,788,810,301,231,296,212,159,841,326,960,546,237,239,361,821,773,059,
005,815,142,609,698,980,036,240,652,178,759,054,246,030,009,341,206,665,651,
708,771,043,718,061,998,793,950,363,011,613,398,776,325,952,076,860,824,197,
866,261,094,128,310,715,409,678,480,853,390,299,970,895,834,018,712,766,447,
418,746,375,641,357,280,098,684,218,071,071,526,991,897,525,782,998,249,379,
673,966,628,380,204,213,605,570,309,842,022,120,900,660,944,679,383,352,002,
970,269,228,765,694,927,166,525,609,197,231,421,248,680,891,771,502,260,677,
381,937,004,759,453,042,638,961,868,271,782,411,925,113,770,436,040,070,281,
123,475,421,960,267,594,679,137,951,903,002,680,586,392,116,744,409,387,523,
270,075,501,929,057,806,244,317,192,237,372,315,736,250,296,947,281,146,928,
656,516,095,033,583,373,222,619,496,687,502,698,640,771,036,841,162,232,118,
963,518,735,575,718,288,145,708,004,901,916,833,611,704,976,090,728,047,014,
935,934,056,740,355,230,282,661,236,895,015,885,592,288,215,415,572,167,156,
306,801,756,292,082,982,618,510,447,173,553,406,900,402,872,842,517,264,852,
458,586,785,046,103,776,122,445,500,150,475,075,500,954,517,117,240,025,290,
776,422,361,254,479,899,989,043,945,479,923,405,854,540,286,611,630,740,270,
741,628,549,323,546,482,000,336,370,545,378,220,524,051,290,053,198,078,406,
144,892,646,090,725,043,933,976,738,700,342,752,456,351,198,970,375,696,060,
934,526,503,394,737,345,440,829,180,991,597,296,913,424,070,067,089,490,023,
227,132,015,447,791,818,356,412,849,015,333,580,834,327,693,994,351,054,550,
602,480,595,469,314,441,138,555,479,986,166,122,186,642,569,319,845,772,140,
659,973,922,543,203,145,791,657,647,552,263,659,561,153,600,270,217,914,563,
730,742,687,696,462,380,191,256,795,494,716,413,375,080,950,601,775,629,109,
232,472,012,007,285,637,066,533,243,875,105,336,746,922,885,935,940,596,087,
074,644,172,827,899,632,095,908,676,015,602,662,983,696,670,873,517,767,833,
483,335,039,177,520,689,979,289,348,284,281,242,314,957,464,107,764,438,665,
392,385,269,105,367,149,900,670,030,473,747,246,454,075,851,128,282,402,738,
723,304,205,810,040,889,920,056,837,021,566,778,613,366,924,315,658,043,028,
034,769,550,188,295,360,833,994,047,437,712,455,836,382,342,326,195,430,903,
948,515,952,283,444,838,344,205,070,615,134,552,814,593,139,061,396,297,998,
712,668,678,641,843,419,775,892,892,201,737,999,861,869,432,803,088,962,497,
652,454,320,125,787,653,379,402,313,376,131,180,652,748,576,206,308,615,915,
340,257,575,259,722,259,917,249,550,358,635,457,273,443,426,300,507,770,317,
023,457,476,556,990,664,645,033,196,133,204,299,677,642,176,408,147,846,834,
055,437,891,383,660,723,914,389,495,580,767,469,349,734,797,127,839,261,540,
467,104,186,319,818,824,981,142,214,901,407,184,644,200,498,870,471,230,427,
012,753,510,207,900,361,801,146,481,596,988,160,703,040,068,535,438,438,069,
044,241,062,470,168,371,093,889,360,942,806,754,625,110,839,324,087,289,965,
554,468,034,658,685,943,719,776,499,169,022,925,296,248,155,017,882,931,586,
720,667,225,966,861,464,775,578,926,796,156,929,261,168,622,415,080,307,470,
364,607,563,289,856,078,957,350,774,416,330,688,181,752,893,531,646,028,601,
910,173,948,481,046,863,513,623,455,181,185,888,656,700,021,247,084,338,568,
888,670,105,439,506,733,548,032,147,867,828,219,040,523,821,416,777,293,135,
549,345,257,779,831,202,443,463,236,647,899,921,085,867,714,624,713,246,069,
869,569,080,323,755,415,654,459,253,261,663,110,161,897,714,075,024,804,757,
219,936,362,828,311,468,743,184,511,885,060,075,927,872,440,054,116,161,881,
439,261,909,148,409,133,335,981,790,531,170,366,104,978,498,440,954,002,119,
109,585,501,656,582,284,078,795,016,612,322,984,526,932,090,797,466,256,051,
349,613,097,578,797,886,184,833,407,551,992,478,739,868,101,914,809,687,426,
002,851,148,705,096,086,095,601,294,608,182,547,645,891,004,421,679,896,453,
463,792,120,645,229,131,797,674,792,481,389,970,681,243,716,270,710,837,324,
470,886,222,157,133,501,603,039,710,207,874,508,340,966,842,727,414,377,161,
464,205,544,302,749,631,866,446,682,617,700,804,160,409,079,511,342,293,729,
809,466,435,202,713,448,939,866,163,733,262,015,797,588,603,802,806,485,648,
200,818,672,925,746,922,673,891,432,360,297,199,706,811,134,692,195,511,854,
560,318,468,015,776,709,770,270,452,479,162,177,623,722,519,622,290,367,804,
015,247,477,620,263,342,853,207,331,323,106,938,772,941,358,632,447,002,820,
306,885,141,896,630,482,719,948,391,233,499,132,306,157,980,057,292,214,861,
419,104,102,531,797,228,046,005,048,141,782,152,112,084,048,634,533,879,163,
877,477,653,673,259,079,880,768,463,754,723,869,392,450,919,653,966,853,287,
831,749,204,466,727,190,032,850,114,853,578,212,053,109,398,271,522,691,413,
425,087,000,668,379,181,326,802,413,355,417,172,477,646,678,110,650,200,011,
082,518,556,538,509,449,110,116,704,789,166,017,681,947,953,606,687,097,207,
622,043,683,813,253,313,077,690,902,763,222,212,883,773,993,545,802,810,841,
372,567,735,908,781,891,605,813,744,264,553,474,252,903,187,015,270,311,802,
095,319,090,550,137,077,464,420,150,142,363,046,505,550,572,124,573,971,367,
332,964,135,463,755,514,538,894,199,411,273,221,327,001,134,264,458,583,429,
479,799,321,274,922,193,421,070,015,544,533,385,798,780,394,810,177,169,742,
879,236,025,737,200,352,934,192,050,097,536,696,234,945,708,419,369,391,100,
633,973,173,680,236,327,513,138,007,935,922,935,893,712,734,424,045,010,305,
505,342,869,050,922,282,578,472,962,357,984,534,644,123,822,358,349,008,443,
221,373,473,042,013,796,079,402,605,718,178,552,827,194,046,885,193,162,150,
820,855,556,864,884,752,275,809,828,417,055,269,679,428,874,072,158,506,867,
764,051,931,068,143,802,337,056,405,736,884,061,926,630,910,064,627,969,116,
163,202,642,152,784,494,632,747,031,344,579,266,947,161,131,234,392,392,209,
249,411,718,452,933,583,736,195,860,408,797,913,501,736,881,351,615,680,716,
854,465,400,217,535,195,521,546,999,787,596,584,176,998,326,752,264,559,292,
012,480,736,773,424,905,049,240,606,439,543,977,365,042,311,606,351,407,459,
607,210,982,750,731,284,888,974,719,333,908,826,228,802,123,825,875,914,376,
015,763,078,849,974,937,967,226,401,235,122,151,704,808,809,426,865,126,249,
882,964,514,165,305,114,009,170,483,048,422,364,984,219,157,574,468,317,477,
173,599,309,910,420,503,045,649,538,716,880,791,714,040,765,267,411,975,324,
451,550,375,332,399,653,775,962,345,567,654,626,577,225,960,742,237,170,841,
185,774,789,818,461,899,490,141,069,186,497,465,117,576,146,798,332,890,566,
502,970,464,961,988,005,770,391,480,458,974,461,104,031,727,577,164,589,792,
745,938,591,877,915,407,467,175,708,680,165,393,309,315,660,819,974,491,627,
502,868,684,284,829,229,036,876,046,071,368,334,952,972,649,244,757,847,929,
531,885,029,821,368,643,888,511,170,923,867,817,229,843,718,775,431,726,581,
677,827,901,493,015,561,683,533,733,563,511,663,182,132,428,603,806,518,841,
900,020,208,847,331,501,962,865,576,716,235,933,663,544,470,262,071,553,624,
770,745,910,841,654,522,482,790,919,929,805,228,230,583,943,733,172,475,350,
916,967,546,901,615,043,784,189,649,114,247,378,457,721,197,960,235,274,219,
956,366,089,752,150,476,315,951,296,910,502,277,995,507,089,808,940,733,378,
059,160,587,184,804,923,810,017,117,703,026,166,109,163,397,331,909,734,699,
758,632,152,118,652,058,661,368,883,016,131,733,091,835,959,800,732,006,433,
299,615,621,530,386,245,787,297,668,193,020,657,604,562,966,988,051,046,428,
070,710,856,234,646,916,831,286,357,539,547,848,524,251,198,492,969,893,109,
615,821,631,282,746,358,684,621,866,240,275,054,276,085,142,169,647,236,040,
448,326,871,870,924,191,938,942,105,842,686,998,438,295,248,261,894,027,897,
939,894,797,359,942,387,855,204,874,096,516,229,138,105,346,125,793,230,123,
286,434,325,652,647,402,746,782,569,758,669,817,484,865,143,762,628,977,988,
899,360,710,752,481,899,926,984,481,977,434,604,077,959,550,685,957,089,699,
111,708,298,785,054,765,968,645,182,056,244,902,177,527,702,483,734,016,773,
013,772,648,842,159,161,532,490,083,043,589,210,460,887,139,668,907,836,203,
750,774,312,092,949,939,293,117,019,000,232,704,309,059,108,154,733,869,166,
273,544,874,852,727,750,891,373,712,414,739,633,055,646,130,546,992,338,923,
095,688,823,026,662,861,444,617,285,965,771,684,347,068,650,215,420,223,441,
978,506,350,329,567,153,069,771,914,824,857,140,909,786,312,104,433,822,572,
912,456,130,278,565,654,634,119,161,046,129,935,852,628,722,515,263,984,477,
003,106,783,253,377,389,867,581,761,500,732,598,963,666,377,683,497,711,277,
140,872,489,093,658,150,724,772,270,982,261,979,583,543,298,406,319,785,361,
209,339,831,687,865,482,985,268,978,552,987,720,620,291,468,741,668,289,769,
706,527,204,557,770,232,586,597,496,549,457,563,572,955,843,340,471,436,476,
179,745,571,128,645,513,615,704,127,109,618,625,286,834,644,993,981,599,545,
373,977,549,573,197,339,798,174,306,135,125,899,325,427,546,455,455,705,601,
249,106,967,082,211,703,084,968,104,102,916,644,419,248,954,041,215,250,414,
478,731,539,298,746,317,885,567,575,999,366,168,800,692,964,405,226,501,593,
846,501,925,565,659,516,207,127,775,925,994,426,687,270,410,515,596,389,658,
615,110,945,284,772,599,201,430,554,375,860,454,233,785,341,252,794,464,442,
252,308,733,715,512,233,951,800,800,349,532,575,279,717,600,020,327,497,262,
417,770,808,734,867,196,663,217,087,523,124,829,968,096,905,799,624,053,111,
129,698,615,773,826,446,408,386,781,397,772,426,075,621,879,125,179,083,886,
475,286,611,818,384,172,736,043,138,577,327,882,869,227,813,677,207,963,929,
693,604,984,760,067,893,149,434,163,066,399,438,342,629,789,803,455,576,934,
853,076,184,012,080,280,753,183,069,695,267,147,382,278,108,436,282,972,378,
336,378,177,900,189,133,336,700,461,258,438,632,390,362,705,321,443,105,377,
666,912,294,795,130,938,169,965,618,156,570,053,399,968,771,975,687,145,244,
077,560,170,739,005,496,289,135,505,600,894,765,437,443,281,408,888,839,068,
745,045,622,668,776,317,534,000,825,957,791,283,967,536,449,589,681,647,687,
184,417,855,987,979,301,318,402,391,757,836,026,338,301,204,253,657,369,876,
110,235,314,317,037,139,114,682,927,487,287,235,737,683,394,541,155,806,604,
232,386,873,224,568,017,175,507,359,351,065,687,031,343,614,847,094,005,157,
071,385,934,382,084,970,313,272,689,540,764,035,071,628,661,068,907,306,534,
349,894,113,975,000,563,050,397,873,953,675,473,677,985,114,145,610,506,772,
588,478,075,571,344,624,448,233,834,854,675,647,741,235,751,550,641,056,900,
383,440,734,502,309,697,116,262,202,213,327,995,936,216,452,783,635,128,322,
399,884,774,338,337,691,518,463,864,564,278,061,859,820,014,484,811,612,339,
708,593,604,230,209,644,233,852,879,928,799,182,229,985,303,857,808,489,659,
039,425,898,738,751,963,658,038,517,298,904,778,152,832,709,525,236,749,305,
321,142,105,722,307,200,587,629,688,522,467,243,579,706,478,647,583,018,377,
229,550,395,087,480,637,871,597,275,566,754,017,157,943,939,412,423,261,919,
955,784,779,042,479,143,907,420,408,465,726,812,858,770,973,157,554,551,389,
514,313,230,796,336,838,181,149,362,867,970,917,907,988,715,005,798,294,498,
932,486,811,282,343,309,145,289,832,177,351,763,591,935,725,364,708,514,220,
130,085,717,616,708,914,251,174,051,970,859,700,592,058,655,435,250,749,020,
561,570,067,681,951,527,334,508,877,877,813,843,120,777,357,428,715,571,448,
732,447,925,091,909,205,175,157,517,637,285,747,276,331,295,135,083,139,113,
111,895,659,289,126,972,774,728,201,837,606,959,561,492,490,800,800,795,364,
876,408,093,444,638,585,918,765,128,774,646,306,339,318,645,618,935,300,312,
050,876,446,632,397,705,718,606,556,744,656,769,803,035,324,401,017,897,540,
994,321,065,000,827,564,794,316,703,037,278,931,327,364,409,377,905,445,441,
390,381,025,847,814,902,858,918,547,922,563,760,827,774,076,640,341,297,794,
463,485,595,797,392,753,213,656,267,717,973,265,779,012,856,061,777,647,863,
348,008,823,601,352,438,000,038,292,254,259,914,937,178,477,910,733,084,662,
168,086,188,347,344,460,737,763,095,607,946,613,673,363,634,143,226,089,832,
194,336,231,224,344,050,098,145,026,946,277,971,342,046,696,286,974,347,166,
114,774,107,646,733,581,225,253,087,496,447,810,210,662,089,332,245,635,452,
283,068,501,611,254,270,530,789,525,801,929,593,323,026,882,903,167,692,248,
114,345,808,835,690,193,970,117,484,268,247,269,688,926,118,769,943,832,006,
548,940,021,537,254,761,988,006,286,644,560,520,628,235,342,154,023,578,627,
283,919,993,776,848,672,385,084,898,608,723,995,096,669,307,439,418,686,201,
396,987,122,238,145,375,782,033,669,494,699,318,242,865,941,811,413,993,272,
598,616,643,352,395,101,865,947,699,185,528,197,836,507,537,222,079,130,916,
116,721,360,610,850,194,091,517,846,643,743,546,854,828,863,575,575,323,633,
389,481,639,414,970,654,786,334,236,266,066,957,153,135,414,977,856,786,331,
242,232,120,713,653,302,838,217,906,032,330,934,714,804,832,832,039,265,961,
049,561,250,899,362,427,026,653,822,135,087,972,616,955,940,597,668,774,886,
092,176,454,372,970,839,502,544,195,914,743,842,791,430,355,462,253,893,812,
888,146,263,788,066,990,304,915,246,224,078,248,698,592,497,561,845,421,004,
115,218,760,570,797,442,111,884,979,565,119,012,554,193,484,549,763,682,141,
159,760,573,018,641,965,689,318,385,257,241,644,093,625,477,946,305,497,351,
395,507,751,523,104,842,453,981,455,092,291,738,889,184,893,569,503,204,468,
552,915,783,353,636,426,044,070,307,432,683,439,524,178,162,379,784,911,699,
820,953,102,571,887,485,756,070,366,795,836,311,036,398,533,555,701,327,947,
153,836,612,419,493,150,293,461,065,598,763,914,370,173,774,130,932,654,310,
685,095,302,025,250,771,921,640,828,557,529,887,184,653,432,846,901,290,673,
550,691,609,252,828,524,192,111,925,458,496,290,814,408,536,017,553,832,541,
027,986,714,700,355,763,714,672,409,898,939,268,718,323,735,850,936,148,806,
910,919,506,669,225,971,127,383,173,845,277,695,567,225,333,129,398,693,955,
549,001,489,606,538,064,019,169,233,694,866,410,878,369,350,413,302,330,804,
476,953,070,851,306,234,182,199,672,565,012,787,103,903,885,146,527,186,145,
418,055,212,085,959,515,847,914,286,887,630,211,897,353,430,520,432,338,110,
599,824,426,970,442,852,050,889,386,283,099,592,555,145,652,464,825,066,349,
549,715,352,440,058,366,114,748,090,206,636,064,243,363,950,372,566,199,278,
726,113,375,204,570,868,207,425,068,856,457,077,016,983,664,659,898,427,912,
829,409,848,170,078,625,179,344,286,449,577,595,952,248,074,166,023,916,801,
471,415,991,320,386,896,332,864,261,711,052,739,932,781,189,139,145,152,724,
578,226,057,347,924,326,483,069,816,709,492,201,364,240,618,872,730,217,035,
665,572,495,948,858,442,562,442,901,841,957,353,563,339,218,214,452,562,223,
582,630,456,510,676,540,237,348,463,672,462,411,537,280,044,610,257,309,876,
979,675,785,301,373,345,653,298,567,814,376,828,222,444,190,252,916,476,259,
098,660,777,875,196,290,886,198,960,599,277,977,750,693,361,778,977,507,951,
535,867,558,264,374,177,515,276,828,611,704,307,239,493,842,578,565,532,471,
285,362,515,699,081,465,564,690,424,493,314,079,389,589,473,395,703,765,094,
723,414,334,774,073,316,771,733,019,794,405,932,880,050,168,326,169,298,282,
817,670,760,336,118,770,967,165,352,274,664,378,893,055,585,481,958,752,159,
587,911,297,680,514,184,084,482,455,142,537,446,016,733,493,808,830,955,672,
752,387,651,706,355,489,716,648,659,900,855,180,591,541,475,367,030,564,749,
524,727,141,845,766,471,487,250,424,011,544,182,724,634,384,914,572,739,503,
209,863,074,411,265,117,330,801,480,841,523,812,183,668,726,882,567,232,299,
064,447,895,228,361,305,277,204,440,637,221,082,067,214,687,303,279,975,832,
000,693,974,809,984,696,993,808,126,421,434,304,577,607,548,832,302,083,505,
583,676,229,893,238,565,712,243,988,094,469,705,780,338,967,253,223,340,657,
229,181,378,117,246,042,285,717,316,151,516,484,828,839,266,834,107,890,193,
683,521,998,338,427,653,146,999,188,050,585,950,830,470,895,766,733,117,016,
369,906,042,014,789,846,016,541,796,375,651,790,300,603,347,965,674,059,374,
458,425,103,759,999,343,352,657,265,669,085,349,638,908,974,764,079,805,727,
043,067,852,848,697,337,677,439,534,316,067,823,171,499,434,788,266,886,271,
555,475,677,438,775,509,160,539,754,497,189,635,376,498,622,504,152,105,369,
129,631,828,915,309,864,814,048,554,495,002,998,961,610,303,677,547,311,430,
384,072,537,057,332,471,471,092,280,277,382,657,099,567,718,885,042,638,177,
348,102,213,099,856,958,544,792,193,339,766,294,116,449,052,090,193,277,135,
359,415,278,522,750,913,512,522,296,344,581,304,541,123,892,706,812,041,780,
876,898,978,775,932,460,700,834,100,639,692,479,006,076,678,887,804,095,359,
895,439,605,482,383,630,699,380,814,956,595,468,615,127,440,366,861,443,873,
491,146,255,323,965,277,093,661,859,470,273,675,406,619,154,692,698,045,106,
832,826,886,694,403,184,483,577,334,574,476,687,972,773,751,126,855,147,654,
963,883,623,519,892,750,757,821,901,800,791,223,181,151,559,609,004,289,673,
699,877,605,002,484,983,599,330,594,026,113,125,684,152,878,764,882,856,654,
044,391,945,628,392,688,400,076,308,776,803,444,741,598,279,781,982,170,299,
048,836,753,457,048,704,481,285,223,772,452,358,425,308,627,533,660,562,303,
247,977,939,230,889,767,140,494,001,475,488,203,232,285,948,855,063,721,798,
909,157,546,317,058,390,553,709,926,609,871,557,613,574,090,481,655,218,026,
429,184,626,441,153,807,770,038,629,092,304,972,172,818,617,276,423,778,406,
769,412,411,512,631,208,263,899,452,070,789,198,327,314,131,096,337,624,946,
208,445,805,379,626,799,361,343,730,352,029,791,776,938,544,794,237,278,640,
035,772,572,343,659,263,995,718,972,236,249,951,465,655,656,991,188,660,066,
937,803,380,054,311,288,464,953,818,495,445,065,155,514,117,672,494,917,300,
072,908,003,316,425,490,696,025,944,668,119,016,736,358,361,909,212,621,814,
323,642,519,454,261,588,933,021,681,675,976,757,401,410,858,374,093,526,632,
498,681,360,240,513,952,044,745,595,118,430,442,624,233,196,035,650,435,265,
259,502,111,332,637,171,317,069,093,087,948,586,586,258,291,931,518,787,591,
815,927,529,048,709,648,504,422,561,948,440,992,813,661,424,142,459,405,708,
354,193,392,739,840,481,904,465,977,418,715,127,787,527,821,158,948,730,888,
618,322,649,570,086,648,671,340,969,548,180,985,516,952,107,492,552,005,719,
352,402,086,455,107,757,928,103,674,469,683,706,137,514,992,910,113,019,568,
340,495,951,754,190,029,924,273,980,615,507,641,857,575,923,591,641,454,950,
136,110,583,735,986,729,681,334,946,648,037,290,742,611,754,491,414,808,825,
320,771,701,073,470,824,473,210,080,408,525,359,241,429,640,851,464,330,361,
946,825,338,499,241,862,662,427,516,924,309,127,195,174,446,676,884,981,924,
868,326,141,765,413,853,546,830,685,610,531,875,303,323,708,290,006,948,819,
932,552,689,405,032,555,916,655,864,090,156,886,637,081,068,399,490,348,054,
858,377,418,649,805,937,471,998,938,553,666,397,416,719,693,396,641,337,466,
973,397,801,043,962,836,655,921,640,842,490,765,041,085,538,092,648,994,586,
661,734,534,221,616,484,377,255,215,354,936,434,890,484,695,960,969,792,679,
961,415,271,423,037,165,589,202,715,552,022,257,595,154,188,404,509,357,467,
680,697,377,254,096,958,422,407,758,087,956,963,954,717,270,613,531,984,936,
365,963,688,054,912,805,522,467,747,024,869,000,788,583,404,594,143,453,446,
419,737,864,858,244,219,132,311,237,257,656,540,630,186,953,747,312,398,083,
420,179,096,732,530,418,189,900,874,549,582,755,820,523,987,026,749,883,594,
821,942,831,285,756,398,151,445,983,343,074,596,713,985,864,115,760,436,321,
046,616,909,260,734,020,805,053,727,411,699,606,970,263,987,667,008,318,383,
671,891,526,955,472,532,478,043,502,352,351,394,242,862,442,871,654,694,465,
728,280,200,137,633,916,779,744,759,766,271,048,640,943,519,460,038,623,419,
893,884,363,792,367,291,211,532,263,698,095,402,472,544,114,044,532,793,109,
184,982,777,659,097,383,955,098,662,888,397,071,500,564,646,947,781,823,412,
032,851,221,894,516,354,489,496,534,227,163,565,066,011,684,359,275,650,018,
898,413,853,463,717,315,919,370,201,917,359,905,941,896,724,635,640,610,360,
891,930,576,530,767,259,150,238,855,641,607,731,081,081,466,839,212,850,668,
049,980,593,077,909,218,433,731,720,388,726,596,227,610,287,611,453,554,544,
456,719,876,789,368,903,245,867,938,674,933,523,069,284,413,406,940,944,519,
082,809,134,231,418,084,517,388,562,686,716,834,279,570,798,265,708,056,317,
796,611,272,586,357,740,999,909,187,302,336,717,656,952,831,121,463,729,726,
064,489,915,984,931,504,727,714,413,411,791,847,776,433,582,551,015,012,244,
483,759,748,971,529,174,339,639,897,148,112,139,098,606,167,089,867,142,379,
216,314,681,156,305,707,234,925,959,620,623,790,717,192,272,853,359,520,674,
759,390,827,929,161,928,140,638,174,219,280,298,232,682,273,530,465,315,300,
153,591,836,314,489,781,194,602,561,425,598,242,258,074,076,039,340,445,008,
301,421,515,446,865,372,372,665,133,888,804,954,371,522,141,101,855,094,625,
774,088,047,228,949,222,879,528,281,652,288,684,019,740,385,890,319,870,446,
377,726,737,370,925,126,225,316,124,592,223,756,757,690,766,548,712,078,372,
666,836,216,749,344,588,236,130,887,899,596,341,058,276,357,071,349,240,522,
401,162,837,347,523,763,212,903,609,189,291,793,808,577,892,276,106,821,688,
060,203,446,212,552,610,203,491,774,862,618,177,022,382,759,131,951,426,225,
101,100,638,443,297,254,782,029,258,092,345,063,439,491,346,049,935,267,314,
201,255,514,671,775,800,256,327,555,012,028,870,907,438,252,562,756,374,915,
945,233,629,395,248,615,586,682,963,783,248,894,361,923,464,770,200,791,208,
173,921,609,272,342,207,824,551,277,482,287,619,670,778,471,999,660,305,802,
733,419,732,859,770,350,594,824,457,632,536,845,485,236,961,227,643,185,097,
938,026,177,789,994,666,449,619,816,620,318,606,755,937,682,082,985,222,826,
207,512,744,998,953,357,678,408,978,440,285,261,412,173,337,359,334,272,565,
130,294,339,095,392,289,394,475,326,155,272,129,073,533,447,006,614,252,803,
513,196,127,980,332,126,786,323,349,334,183,388,340,868,360,333,240,476,582,
707,505,747,916,216,036,176,848,598,619,048,466,586,744,553,253,434,950,452,
391,966,179,889,566,345,546,261,361,098,780,854,251,680,699,453,249,619,414,
170,010,560,531,206,263,170,784,543,832,674,498,339,516,535,094,675,519,261,
582,919,115,499,997,856,619,469,310,277,987,080,308,980,082,807,321,801,180,
474,588,482,296,831,425,514,902,700,333,728,928,370,599,577,850,373,871,797,
200,492,914,968,672,104,415,560,959,855,427,367,067,581,984,149,896,856,073,
494,980,954,318,841,764,308,575,123,322,512,961,753,577,754,572,229,437,659,
838,941,206,474,946,513,964,918,956,137,730,035,813,272,592,495,821,707,748,
742,442,335,247,912,234,005,439,568,426,929,708,909,494,449,662,335,522,453,
835,900,686,308,299,030,222,402,339,964,082,129,965,661,228,358,883,421,447,
163,447,649,180,793,062,234,443,224,910,828,988,128,866,570,366,988,673,157,
163,298,443,599,925,484,203,413,454,393,645,290,977,561,707,537,474,741,382,
445,925,972,589,845,245,211,763,223,095,479,000,676,151,297,944,092,050,984,
777,947,658,755,091,737,498,224,305,985,696,005,798,291,854,305,940,113,846,
678,595,060,845,114,114,464,149,013,975,401,278,200,479,312,027,323,291,617,
826,137,473,876,695,746,672,864,475,904,160,878,232,852,503,076,707,985,608,
108,349,380,353,525,397,753,506,974,730,492,646,224,126,461,114,495,866,429,
442,824,095,379,433,100,971,244,313,130,734,289,558,844,590,369,347,112,750,
140,100,877,302,437,957,690,450,691,700,314,417,183,980,196,411,745,993,173,
129,795,445,608,764,196,747,449,926,707,928,472,017,309,530,268,245,862,657,
400,140,287,151,714,902,961,562,885,617,222,345,941,205,599,865,763,467,422,
449,072,543,667,831,502,965,435,124,562,420,600,660,804,827,110,017,668,949,
727,551,205,994,675,285,004,072,408,898,955,238,702,061,947,106,430,315,950,
063,659,462,166,359,266,345,255,548,714,430,012,581,455,147,461,348,309,255,
246,872,982,031,814,021,431,562,806,316,961,367,650,678,064,474,380,844,194,
227,375,828,543,381,185,869,704,706,025,960,843,431,958,433,765,190,533,811,
431,722,684,467,820,037,179,493,611,088,684,528,268,361,363,481,164,621,716,
659,974,711,849,155,048,768,002,192,500,398,276,427,389,393,032,966,733,756,
163,009,883,240,314,480,654,703,347,339,519,121,361,557,887,982,477,866,340,
653,158,452,555,528,194,477,995,741,796,539,699,642,846,402,170,908,406,568,
191,414,139,392,859,412,650,011,387,489,776,754,256,071,687,774,954,413,328,
834,561,526,331,510,242,399,697,447,436,226,494,169,744,747,540,746,531,777,
304,501,723,393,397,444,468,943,495,073,193,327,365,048,614,743,466,143,971,
495,351,911,573,853,342,745,289,566,359,268,837,429,941,190,739,251,826,751,
450,745,646,408,457,081,825,106,958,545,086,371,006,078,386,323,198,569,600,
382,007,040,123,655,884,084,481,184,866,988,029,263,664,041,123,789,956,518,
121,751,967,815,803,536,684,868,052,481,425,291,766,170,762,224,150,084,583,
242,283,468,320,428,360,429,477,755,610,100,928,740,125,554,211,099,388,185,
351,081,112,532,321,491,976,967,055,585,614,479,694,320,031,519,580,231,202,
217,588,424,539,908,988,987,437,711,924,320,054,108,534,434,939,494,686,975,
079,027,012,772,653,637,515,852,216,961,276,392,161,246,536,177,339,004,114,
168,177,142,283,868,036,930,273,146,520,129,831,575,832,022,676,219,739,726,
086,790,605,065,333,701,542,556,561,497,558,958,483,764,419,898,345,176,867,
844,981,633,785,175,198,483,578,481,720,438,681,785,729,336,691,436,678,071,
739,520,708,209,439,198,320,586,263,451,722,407,953,888,400,799,444,101,170,
803,255,868,228,063,462,660,098,522,755,160,431,420,834,027,635,887,864,916,
826,199,431,489,677,477,716,168,476,763,298,426,444,838,052,420,587,312,549,
698,967,335,701,244,203,016,725,740,729,318,261,573,246,639,788,980,692,655,
935,439,470,799,285,794,419,646,641,385,688,584,505,512,619,072,313,187,230,
829,830,146,991,924,303,694,124,741,771,827,452,553,456,668,527,489,945,053,
109,909,187,208,853,785,135,382,765,345,490,517,382,765,165,418,859,795,036,
506,347,901,577,825,210,847,158,170,663,391,194,231,646,384,568,315,925,897,
303,703,532,118,381,879,378,787,545,851,128,855,980,895,475,851,485,166,661,
554,842,658,871,431,804,320,051,088,823,854,386,264,111,971,681,736,996,832,
554,045,548,628,869,785,876,762,631,021,125,817,397,767,208,173,981,602,758,
319,603,188,158,581,647,245,870,833,647,599,894,148,420,885,908,296,148,081,
038,145,369,478,535,907,577,080,165,457,463,858,690,823,523,453,923,548,517,
604,112,000,916,721,166,894,988,908,320,480,885,115,506,951,844,613,464,566,
572,008,463,527,878,691,745,028,944,656,001,168,510,955,319,842,355,407,352,
012,501,490,076,762,013,084,241,716,729,302,776,315,526,287,818,260,561,094,
986,028,658,484,121,873,559,897,770,044,812,529,084,936,180,097,741,350,852,
363,818,726,087,685,328,303,594,710,099,495,640,947,936,290,729,362,597,707,
393,651,624,792,082,214,640,505,042,060,399,765,697,312,082,731,620,640,477,
099,690,009,856,912,058,235,716,363,069,078,338,137,569,367,054,704,118,945,
313,941,836,347,835,397,382,587,115,342,064,293,583,090,138,869,657,746,660,
804,382,472,290,943,527,116,524,643,083,493,940,949,439,218,134,238,430,643,
338,470,531,898,854,848,468,841,018,386,697,410,002,234,144,443,641,841,739,
644,664,964,516,059,559,705,736,565,046,005,809,323,611,925,154,225,171,709,
006,377,947,661,713,981,915,631,087,501,574,981,267,425,512,680,612,415,077,
190,704,381,674,630,362,869,091,888,820,537,251,951,517,992,068,996,826,861,
816,422,200,475,666,531,736,369,148,859,645,761,275,022,612,223,990,329,871,
649,837,460,869,766,485,357,621,197,188,669,715,703,352,541,202,292,231,864,
492,299,521,956,536,058,059,397,789,504,588,076,006,304,554,577,924,376,144,
883,002,239,217,368,188,776,954,114,109,541,481,909,871,866,764,397,839,048,
842,937,553,214,687,946,166,014,744,702,438,310,330,100,425,958,823,667,727,
526,994,796,600,395,206,329,143,403,052,918,944,244,565,257,241,338,259,076,
777,213,165,956,349,031,677,880,690,190,377,989,253,998,300,474,707,634,117,
368,266,569,983,697,646,318,199,594,136,111,997,992,703,782,896,364,825,175,
762,235,390,162,190,477,383,209,735,294,245,988,022,919,432,062,888,424,820,
023,879,506,794,469,560,986,620,833,417,331,990,521,080,745,235,122,833,690,
428,376,262,333,637,464,219,366,144,645,078,053,432,394,079,885,325,206,948,
067,399,818,261,275,461,283,664,704,673,451,661,837,320,102,640,984,498,843,
906,181,531,567,161,496,398,502,056,991,590,224,634,311,525,976,495,749,132,
926,106,960,429,577,346,549,831,200,283,820,694,063,011,399,688,554,470,523,
545,046,388,139,039,251,896,369,755,607,232,300,650,668,617,482,138,033,503,
520,679,075,563,167,148,296,752,314,214,154,711,633,650,819,112,542,604,805,
258,418,332,310,507,173,117,844,165,676,267,758,994,408,930,458,642,708,646,
079,528,070,485,381,007,891,618,594,279,604,404,562,362,767,028,859,518,828,
991,032,433,643,588,458,701,402,308,564,911,688,904,528,233,790,075,128,816,
222,828,355,657,381,115,457,643,117,180,162,682,392,343,764,342,483,769,493,
991,727,954,287,244,545,739,295,485,379,590,784,033,272,429,910,953,878,308,
014,556,042,368,764,253,821,479,847,491,142,409,002,614,249,486,336,069,614,
008,992,454,184,212,112,126,596,823,412,185,615,519,263,855,437,677,233,197,
672,069,246,977,763,326,498,806,744,304,142,368,036,075,202,429,755,095,785,
644,177,247,942,033,643,216,420,720,667,145,686,631,444,738,158,245,602,012,
610,271,055,983,132,488,641,620,194,133,759,835,246,999,602,908,581,969,495,
206,464,736,998,976,484,095,677,099,644,492,001,455,636,275,094,056,692,159,
147,849,252,469,601,878,334,428,004,050,220,878,572,426,496,196,200,965,627,
182,916,038,054,799,751,446,132,975,488,860,351,934,382,516,965,486,385,251,
601,926,457,453,533,881,865,939,173,548,034,086,096,387,901,033,491,161,419,
785,346,155,045,143,950,774,060,358,366,726,734,969,093,982,385,576,033,562,
773,324,494,282,520,281,812,946,159,167,778,172,327,933,222,916,981,163,249,
731,536,360,547,506,675,207,583,054,102,369,364,998,403,835,793,304,807,184,
893,603,238,046,597,196,941,702,874,068,414,905,033,531,810,029,123,635,160,
435,526,166,911,674,468,536,231,459,911,350,764,815,812,133,492,943,494,646,
991,451,749,141,803,206,516,562,809,233,241,364,823,885,162,319,690,534,332,
950,988,063,211,009,956,325,712,565,279,766,238,289,938,540,621,811,337,562,
982,189,237,331,256,466,453,525,694,856,091,646,532,209,267,274,687,303,691,
949,967,372,502,121,947,286,829,471,768,024,568,397,236,747,004,706,805,233,
968,768,303,487,555,069,323,498,182,976,314,901,949,350,990,357,443,486,152,
412,650,175,567,659,297,254,179,319,411,705,082,721,964,547,880,960,023,121,
966,443,356,260,348,904,694,808,525,989,461,545,707,350,828,513,130,510,955,
070,721,780,124,305,772,622,396,913,667,348,942,787,105,969,817,814,295,634,
272,481,458,780,756,129,334,486,307,047,176,251,308,425,839,792,772,728,005,
324,889,143,626,930,403,439,667,822,981,026,851,876,389,500,837,042,676,803,
415,318,068,631,519,718,029,759,441,459,137,734,566,640,023,242,461,080,767,
757,552,565,426,953,256,276,850,098,796,280,442,493,286,134,179,038,046,061,
866,959,621,585,698,095,576,325,202,715,449,421,661,674,747,074,619,128,042,
480,963,642,177,550,859,560,851,695,835,826,578,861,941,124,206,959,257,174,
176,768,899,617,157,438,615,881,978,733,576,939,561,776,175,704,905,477,210,
603,654,528,480,094,724,900,805,595,258,371,410,491,906,000,471,994,935,942,
141,071,624,260,777,517,602,170,767,510,035,111,279,170,129,676,826,359,588,
074,277,906,217,784,196,060,327,636,664,836,020,273,263,510,085,485,844,160,
405,453,773,891,064,277,216,922,069,976,223,564,595,724,283,672,323,471,621,
437,196,820,923,271,054,415,661,230,693,291,736,073,920,468,896,314,406,297,
007,356,338,309,699,120,890,301,986,727,250,346,211,456,860,006,253,109,304,
650,944,954,316,827,186,341,850,472,902,997,837,527,942,144,832,986,371,533,
019,058,059,935,718,598,457,956,407,673,193,604,540,945,716,408,157,342,541,
216,595,352,859,813,159,650,771,740,932,771,006,901,570,640,335,491,399,758,
109,766,826,346,264,084,914,875,728,296,585,189,005,498,989,593,561,706,229,
716,039,418,282,098,173,709,368,566,024,764,295,960,285,588,544,776,283,943,
833,992,329,038,731,796,232,647,110,787,747,366,072,984,192,788,518,000,912,
129,292,921,997,380,180,066,946,704,321,811,434,555,391,359,768,551,183,774,
125,959,679,721,100,837,925,616,670,303,859,294,002,950,628,981,521,859,156,
913,444,599,645,810,285,403,032,724,308,817,331,336,069,418,463,027,256,388,
332,395,755,798,033,921,461,547,056,497,452,709,706,593,902,422,791,673,219,
867,399,781,096,666,184,619,790,272,658,087,526,943,088,503,178,267,327,552,
678,210,300,227,708,589,364,405,522,932,763,372,277,528,794,518,557,666,000,
208,113,951,077,150,622,149,434,485,909,381,202,720,307,673,631,536,432,397,
754,100,362,277,022,858,887,718,761,226,857,931,347,642,676,917,047,325,177,
506,011,857,221,995,778,848,585,038,737,799,455,428,430,434,403,049,680,933,
712,072,107,227,053,572,673,134,383,657,683,832,655,846,714,507,533,431,036,
038,115,091,334,658,517,828,187,100,005,668,743,539,965,072,486,923,741,498,
921,797,311,613,368,600,755,563,001,526,612,001,734,612,449,035,245,561,850,
102,425,774,388,157,871,571,738,694,765,758,169,037,806,379,459,748,341,379,
891,371,415,217,704,407,942,785,963,647,444,191,695,016,127,258,699,384,569,
602,499,780,550,085,713,144,640,819,750,708,634,366,545,918,450,474,878,322,
526,582,319,253,115,234,834,768,262,841,931,109,204,080,126,224,607,182,334,
755,218,087,838,636,112,225,032,040,229,949,629,644,055,162,377,213,666,144,
985,014,131,587,657,763,504,004,936,400,226,775,702,852,202,533,505,063,264,
100,522,666,712,748,269,123,797,676,989,927,797,395,610,564,572,398,133,233,
627,072,465,438,589,702,276,801,357,440,161,593,805,654,498,892,426,194,065,
831,224,192,105,025,384,054,181,181,551,387,595,715,884,687,700,272,463,998,
156,446,296,985,453,817,265,961,996,718,799,236,750,816,027,526,769,277,996,
910,513,512,077,474,221,520,347,270,400,807,117,311,486,138,125,417,415,266,
718,599,701,201,585,918,523,504,992,215,506,291,506,217,432,997,701,534,657,
520,741,193,930,710,720,597,722,539,300,398,480,366,039,109,154,980,062,803,
154,588,875,646,596,760,086,951,161,954,660,618,083,978,105,645,295,131,144,
465,136,865,626,644,796,758,494,141,663,243,113,743,535,615,391,562,901,847,
491,283,061,261,942,635,487,292,388,342,117,850,111,460,209,933,469,026,960,
079,157,696,082,120,019,493,576,829,536,450,595,373,328,347,684,486,460,162,
735,466,997,135,353,793,681,812,117,966,721,741,249,610,962,787,769,294,682,
750,245,835,614,920,175,375,775,853,713,035,397,387,136,364,185,372,708,241,
028,746,735,922,140,172,486,392,165,008,974,091,059,265,430,780,097,220,258,
444,909,228,939,530,089,412,813,438,491,528,688,388,318,276,839,559,798,459,
786,256,495,989,425,928,578,699,189,640,678,725,356,813,301,062,708,201,243,
113,065,604,287,755,736,408,022,551,454,525,679,669,332,475,321,886,958,470,
854,298,168,522,698,107,948,120,974,070,002,638,096,374,489,822,947,607,368,
510,006,445,443,796,247,003,356,711,310,822,413,419,413,448,484,024,911,893,
812,832,735,774,174,495,394,402,202,482,757,586,117,572,100,302,496,436,860,
093,465,330,342,702,116,430,781,989,177,670,062,752,221,045,628,814,517,095,
194,940,588,140,086,814,590,066,817,864,307,411,316,373,643,365,043,507,458,
283,989,673,756,590,406,711,805,575,885,235,735,423,419,339,069,263,283,837,
957,270,031,832,156,982,125,083,279,709,726,495,792,708,060,246,294,078,713,
645,338,072,156,497,794,144,261,934,488,841,424,579,459,915,887,679,792,012,
653,717,108,909,468,457,870,721,818,143,742,059,574,471,840,831,503,261,323,
153,435,981,590,172,676,305,307,159,426,501,397,972,062,952,488,201,834,101,
866,159,701,886,893,995,830,460,254,331,298,047,379,559,421,564,825,847,143,
867,744,119,202,031,471,917,298,517,857,607,934,491,614,509,731,639,750,169,
807,199,764,645,096,835,728,070,156,270,522,090,027,402,296,953,100,187,840,
129,616,246,401,616,152,479,683,507,624,313,108,195,532,585,281,387,654,325,
170,751,803,026,936,213,519,533,138,411,003,157,576,448,127,771,920,101,556,
858,621,716,275,020,888,666,540,894,407,603,184,066,419,415,082,111,167,973,
663,234,211,582,514,520,926,948,363,702,741,417,750,525,916,135,234,432,828,
977,022,734,847,294,766,484,797,929,872,041,631,260,590,786,744,285,617,649,
235,608,948,461,976,303,288,174,979,594,883,406,938,751,166,753,040,377,115,
111,239,450,785,462,840,055,237,524,647,601,278,587,898,404,919,533,249,843,
739,716,139,928,864,652,948,427,128,365,633,927,853,338,168,956,038,852,560,
819,254,784,286,501,863,915,908,150,927,785,427,595,166,272,897,719,658,879,
197,245,343,212,309,267,500,919,827,980,202,841,465,063,714,381,522,067,346,
168,340,335,098,962,915,206,002,252,356,659,736,047,169,197,374,374,349,178,
534,683,000,594,329,465,435,653,532,758,163,474,985,517,153,071,421,591,283,
879,005,866,757,296,166,193,441,988,026,300,664,062,036,320,334,835,547,009,
607,398,774,522,033,265,236,702,856,111,545,712,953,819,944,293,943,183,557,
462,309,116,644,623,055,461,459,853,389,240,202,004,958,827,673,045,128,596,
232,530,411,938,866,785,821,896,684,832,394,249,657,960,191,273,069,853,715,
036,200,882,914,509,207,909,006,541,092,884,002,120,925,585,573,160,084,114,
886,682,604,080,807,714,524,521,374,272,027,926,686,897,912,260,928,783,536,
874,028,149,430,087,839,648,333,063,924,373,698,382,295,895,869,206,460,662,
248,854,791,814,492,321,939,584,611,561,219,683,977,983,897,879,374,678,868,
812,641,713,637,516,966,078,592,924,715,183,351,171,729,286,024,861,649,598,
998,976,367,197,613,326,849,983,710,599,825,768,596,688,742,315,564,616,865,
400,503,402,203,188,201,988,080,570,527,826,355,723,074,884,493,150,511,896,
876,677,694,823,772,134,123,592,449,983,985,921,901,256,351,689,811,896,807,
802,031,255,635,301,789,722,598,401,275,555,621,522,726,562,311,679,306,411,
119,828,684,267,497,300,392,508,792,495,178,127,829,833,546,621,922,446,664,
970,346,966,568,616,227,511,248,444,746,059,952,160,670,790,898,944,110,094,
905,339,590,200,519,806,709,884,284,492,754,822,999,506,827,875,161,114,014,
765,927,825,927,067,210,991,253,315,673,565,432,794,865,871,958,926,143,345,
487,232,956,263,972,395,786,934,275,107,821,514,812,350,320,305,565,965,464,
090,625,324,237,959,695,889,599,638,067,105,780,578,496,840,813,617,853,512,
311,076,913,571,252,748,899,206,022,485,149,119,470,750,538,297,258,455,734,
148,157,689,551,835,432,859,781,695,652,499,106,003,947,328,684,376,079,504,
823,239,608,727,094,059,464,790,607,682,378,088,255,194,375,257,936,262,986,
441,077,395,012,370,913,367,737,804,740,895,707,684,577,539,425,144,439,434,
052,050,829,546,678,091,286,516,911,162,793,577,104,221,177,540,523,663,114,
799,331,062,292,956,386,253,880,430,746,754,411,217,829,719,237,367,283,703,
089,163,316,886,663,362,784,201,237,448,074,315,652,411,725,360,522,963,294,
928,871,467,432,005,205,242,538,510,638,021,557,874,165,816,858,523,246,202,
687,337,149,785,197,842,891,400,134,820,901,269,880,329,300,193,826,810,688,
937,875,604,501,767,108,870,756,899,764,538,509,816,551,348,051,899,740,523,
373,385,264,001,607,003,013,970,079,429,973,863,469,351,240,378,428,498,058,
058,125,836,764,353,193,509,703,279,725,497,180,462,444,576,301,241,215,473,
583,712,349,913,177,484,306,816,483,071,247,933,279,148,893,231,798,812,115,
370,381,258,426,376,731,411,497,211,577,980,163,942,610,203,247,952,550,627,
434,148,244,117,241,878,681,820,618,207,972,097,943,732,451,750,128,947,355,
154,653,058,135,221,760,667,673,317,524,127,415,829,594,431,693,891,708,973,
278,766,793,471,381,556,719,523,980,024,956,902,538,490,819,976,146,287,875,
595,411,285,640,260,161,058,371,949,454,304,409,386,533,252,312,437,179,256,
117,829,279,048,432,828,637,863,387,596,132,226,321,712,312,120,035,193,524,
845,671,947,326,706,963,770,947,699,973,264,574,021,101,453,523,136,662,338,
829,817,675,046,108,320,898,097,863,491,931,317,593,439,479,651,883,266,056,
461,643,429,034,994,831,626,069,508,309,665,056,403,692,977,733,944,443,820,
783,930,360,908,103,087,169,373,526,010,893,555,956,205,665,068,135,309,795,
781,703,374,894,159,744,128,421,018,975,311,298,773,477,917,133,277,962,260,
233,382,111,876,408,896,001,591,439,025,160,469,506,414,270,138,471,960,395,
328,473,679,383,067,057,813,302,553,367,819,274,085,290,960,670,442,065,415,
541,409,951,261,910,895,437,085,572,422,621,758,183,088,381,639,455,057,189,
871,528,355,838,018,817,079,530,375,859,055,602,561,676,399,053,563,644,088,
526,944,427,968,256,755,140,834,501,517,336,282,772,770,858,619,485,004,033,
307,716,552,176,488,657,867,077,627,843,033,846,367,144,306,712,099,519,127,
374,065,992,031,322,731,313,373,917,868,068,066,092,551,994,661,027,574,772,
596,114,109,976,709,835,419,847,398,967,825,131,220,829,660,880,018,121,273,
159,152,072,961,464,689,651,415,795,731,712,053,878,116,318,090,741,002,494,
696,941,027,151,991,182,738,423,624,447,158,312,106,696,029,514,141,352,662,
897,321,629,745,833,794,536,053,837,869,831,762,308,174,957,445,050,225,064,
328,324,802,128,730,318,750,373,733,976,619,944,277,752,862,985,494,125,698,
130,147,224,482,369,628,088,066,235,583,325,604,612,213,032,541,094,420,587,
133,156,336,725,892,067,038,540,356,761,161,203,746,885,811,644,317,890,088,
385,855,878,027,674,398,503,685,679,159,668,081,494,278,702,262,566,486,167,
253,983,113,482,653,910,796,976,778,906,076,964,031,778,747,226,485,688,997,
100,004,409,960,849,451,984,957,077,553,219,850,548,112,743,216,653,440,789,
311,116,164,901,326,885,979,300,659,666,596,534,148,857,679,578,270,927,928,
535,954,913,315,208,512,377,696,539,025,199,558,588,300,221,157,307,035,206,
301,662,123,170,359,164,121,860,182,494,313,716,447,555,666,726,173,007,929,
457,714,533,626,121,408,815,096,365,172,660,620,388,520,845,182,992,387,767,
575,869,641,970,398,007,857,776,734,650,384,418,908,413,920,473,328,433,809,
826,427,544,993,822,014,343,105,255,831,300,592,756,779,965,197,903,045,083,
588,701,535,408,125,709,391,370,335,512,573,557,184,668,977,308,572,446,731,
299,178,775,247,526,518,356,088,834,163,883,072,638,602,305,404,745,129,696,
669,133,656,272,178,417,855,795,379,224,215,236,683,530,967,431,205,201,615,
999,646,627,476,953,191,695,300,126,060,515,652,864,691,832,017,532,620,295,
294,331,977,252,269,785,907,891,709,053,159,951,866,830,443,302,371,565,174,
239,232,730,564,766,148,140,518,690,605,001,818,439,749,032,746,103,020,289,
124,999,774,630,571,289,905,022,527,886,945,687,590,531,921,969,210,400,499,
534,149,103,014,280,538,126,252,901,508,601,840,989,879,569,680,802,464,993,
935,914,568,530,459,174,589,909,851,036,319,140,185,338,019,496,880,248,823,
274,696,849,178,842,734,493,961,120,428,976,051,049,747,392,544,692,971,690,
516,996,029,914,129,636,495,361,603,421,633,158,170,269,277,447,795,611,650,
123,131,634,816,651,424,231,607,124,151,716,457,764,250,416,388,562,559,086,
184,016,761,310,602,980,231,911,236,273,824,643,487,080,410,662,901,253,351,
401,155,347,575,233,340,459,716,153,933,081,003,192,544,267,692,364,252,704,
508,369,682,699,805,753,911,675,482,016,074,122,105,674,267,637,604,890,169,
165,749,393,557,333,604,656,795,789,542,442,569,504,818,412,239,388,582,047,
225,524,953,818,045,924,472,786,679,903,624,259,374,083,544,008,892,240,935,
223,219,316,399,736,439,173,831,564,375,498,639,596,457,562,003,822,048,715,
672,212,288,453,103,820,930,981,093,496,071,463,758,500,081,180,046,818,171,
836,769,024,762,111,969,552,613,700,664,087,303,798,789,464,167,795,908,947,
880,802,682,981,593,365,738,357,406,864,041,478,144,291,290,824,585,096,455,
884,340,195,730,580,254,182,584,993,332,378,575,878,229,038,626,472,418,634,
157,345,443,776,695,542,163,254,614,230,193,785,525,592,497,908,163,045,738,
852,969,380,956,604,546,943,269,433,689,539,429,133,064,170,167,504,686,229,
515,097,028,983,210,948,722,458,604,735,762,393,164,637,745,530,875,474,833,
007,508,562,849,201,428,609,293,087,741,625,647,938,444,364,128,630,487,079,
910,041,058,221,365,292,563,937,480,953,245,730,237,531,299,623,456,463,319,
804,784,932,551,359,280,538,074,529,654,439,566,076,388,516,914,251,275,438,
146,847,162,551,628,689,879,788,170,447,265,387,728,717,939,941,297,093,611,
682,548,338,063,774,594,797,734,291,531,351,594,022,756,107,604,554,737,070,
769,940,263,309,596,336,854,875,627,964,671,093,124,218,170,148,651,518,094,
924,470,286,056,972,966,558,763,272,796,777,483,719,737,584,733,780,812,596,
245,257,918,527,283,693,960,814,205,781,431,746,329,176,277,488,142,018,297,
834,558,868,081,805,455,369,682,308,980,915,177,844,376,639,557,084,551,266,
186,121,188,082,079,422,513,637,536,601,586,924,154,495,603,741,436,574,993,
305,154,523,736,789,872,888,892,682,708,983,076,463,995,794,862,980,639,721,
775,208,734,196,456,865,192,869,386,326,971,354,360,785,820,549,624,319,258,
409,269,681,512,675,664,017,595,638,614,939,577,205,076,316,239,552,102,932,
422,025,995,977,474,273,340,469,256,256,388,638,740,919,177,064,724,407,524,
327,138,249,250,184,847,153,638,239,314,766,342,615,107,600,981,093,034,896,
755,743,662,151,569,734,021,157,807,583,179,255,308,408,022,030,012,609,859,
212,370,225,393,934,662,298,548,291,525,268,651,562,777,669,615,950,682,555,
929,411,005,981,530,249,340,200,075,815,857,487,684,283,044,152,288,555,890,
996,398,237,309,043,038,862,655,085,960,706,673,748,927,063,461,479,573,982,
295,268,916,860,533,418,146,843,465,604,651,543,519,281,476,036,597,757,693,
466,293,106,081,793,242,496,945,616,067,979,159,995,436,231,705,835,166,190,
475,810,080,522,396,067,158,058,387,710,722,893,925,230,693,034,268,169,376,
549,329,944,716,829,927,590,476,165,104,630,279,389,075,277,526,234,093,496,
737,710,205,580,860,927,055,998,851,589,012,490,513,185,175,318,955,006,907,
836,990,977,180,937,226,476,388,376,454,569,408,706,068,246,771,342,734,632,
270,663,536,657,139,222,359,827,976,169,338,046,997,852,334,435,362,953,427,
834,312,275,525,539,524,462,283,624,203,032,205,200,266,717,701,440,838,539,
688,365,353,849,914,440,162,203,008,627,103,059,351,299,386,610,145,626,430,
767,656,634,771,588,734,295,309,867,848,414,071,855,056,095,916,494,728,499,
387,015,002,814,320,896,244,347,905,096,436,006,607,798,107,914,951,963,732,
231,844,471,405,675,000,461,385,728,128,466,117,894,005,559,581,036,775,199,
580,999,210,979,444,314,100,357,005,861,987,781,297,416,097,218,614,657,403,
426,018,635,227,337,645,451,749,363,429,456,670,256,638,612,673,454,040,475,
148,843,393,854,877,731,710,388,325,634,268,379,290,257,356,338,928,031,545,
462,806,569,753,482,542,341,989,839,235,402,523,778,547,298,631,119,684,273,
101,322,538,654,575,747,891,452,465,750,955,987,727,984,897,419,605,426,303,
774,525,989,117,371,377,360,350,251,195,993,234,833,366,866,193,760,138,614,
095,283,642,095,734,309,171,636,803,048,618,794,878,630,510,182,491,377,564,
503,583,202,357,767,921,459,997,573,446,630,166,813,963,978,772,941,734,539,
087,287,986,352,250,959,672,176,069,000,110,154,741,445,750,382,457,875,466,
222,072,133,435,707,882,996,248,572,712,854,657,580,625,181,455,818,102,417,
386,725,513,484,897,972,068,044,998,054,610,618,968,453,680,573,483,028,096,
532,951,553,184,319,426,509,425,545,399,658,274,034,242,657,915,425,919,905,
481,233,841,201,053,710,746,080,192,243,896,270,837,369,823,306,599,041,057,
115,176,461,787,204,816,550,461,999,790,382,650,346,637,302,196,599,817,173,
967,961,616,849,536,212,846,699,463,038,156,471,138,367,958,918,695,311,842,
796,690,365,863,195,266,868,487,542,598,963,125,397,662,792,035,185,545,603,
440,071,713,210,704,606,976,516,120,747,308,776,348,137,419,303,695,577,135,
809,540,611,760,907,246,090,044,681,016,825,998,939,137,914,170,534,365,189,
511,499,366,490,791,408,840,544,114,767,853,042,271,607,468,805,835,018,699,
068,502,032,526,580,695,880,797,466,960,474,612,636,306,839,676,875,020,193,
301,267,572,323,748,424,221,551,523,870,806,993,277,253,418,502,935,723,274,
318,404,605,091,357,448,235,962,944,112,228,507,566,544,501,617,787,733,323,
120,011,693,592,689,816,913,558,677,720,207,159,165,250,363,284,317,987,474,
495,228,005,435,548,050,390,093,716,912,626,701,364,050,843,474,518,500,892,
025,453,613,135,916,025,256,295,752,891,243,961,896,424,180,665,306,182,377,
738,158,448,020,156,725,386,860,181,758,909,223,329,804,178,492,103,283,545,
381,290,735,263,987,549,592,052,932,712,647,203,619,239,516,588,398,941,763,
743,090,877,496,280,563,938,719,368,405,073,815,399,476,299,747,355,591,283,
849,764,631,108,965,389,079,202,883,321,228,355,537,363,790,897,418,340,322,
821,027,170,436,591,681,195,702,154,424,827,605,764,367,808,407,288,874,619,
505,730,832,921,756,619,305,262,855,087,958,777,416,407,631,067,197,810,120,
733,610,377,382,397,493,954,902,044,530,808,099,985,362,510,974,321,026,992,
838,306,545,332,518,186,821,036,425,509,447,628,693,427,128,948,126,784,234,
015,556,817,168,608,230,359,774,722,209,742,031,070,699,576,544,445,374,906,
894,383,393,773,249,688,059,512,278,993,679,670,232,300,518,729,503,645,024,
669,669,489,852,339,905,522,756,535,048,490,232,804,035,915,989,634,858,114,
120,000,767,250,207,010,881,170,894,898,428,355,169,002,845,110,655,152,895,
177,097,572,839,298,069,805,166,138,842,122,681,212,230,433,835,326,799,134,
153,121,518,877,876,931,904,836,417,624,442,192,485,434,177,216,893,058,603,
446,059,899,835,650,407,253,444,814,396,003,051,091,859,051,764,583,674,456,
126,053,525,030,803,751,468,040,362,163,889,094,130,158,775,533,777,374,991,
871,571,857,218,337,205,561,054,762,740,321,642,515,318,250,359,955,864,333,
993,884,158,734,781,625,167,842,330,663,605,211,004,791,725,045,208,255,977,
317,560,751,327,283,160,511,487,024,376,341,866,110,947,901,205,323,068,484,
789,926,895,392,499,801,998,625,458,692,966,038,059,952,266,060,730,737,182,
487,484,630,484,661,123,415,017,780,763,245,216,370,559,928,824,833,748,955,
866,526,989,621,484,399,494,138,653,983,582,383,679,010,941,006,759,588,173,
783,572,197,809,183,476,862,507,593,936,434,368,008,966,894,889,457,125,233,
664,382,151,618,525,740,182,767,716,854,277,340,526,468,374,421,034,913,716,
685,971,249,786,072,854,312,641,864,541,404,665,934,088,094,180,579,885,185,
995,375,632,640,360,591,545,241,586,018,880,520,410,503,750,283,210,910,832,
590,963,873,292,946,312,856,541,062,238,811,718,396,338,673,899,068,679,192,
209,172,981,508,321,733,561,062,818,430,044,583,009,991,860,371,759,457,500,
642,628,512,224,509,295,532,085,975,294,987,447,820,900,904,903,633,318,961,
387,414,743,075,424,661,108,429,618,270,064,103,411,999,967,929,716,086,931,
572,366,933,090,460,025,878,148,587,945,812,259,297,897,666,567,742,055,366,
144,542,723,934,906,852,323,620,852,755,142,097,324,546,162,292,195,264,310,
257,002,612,106,813,022,850,266,536,007,244,863,039,069,702,347,907,053,431,
055,432,428,207,603,150,993,849,937,310,049,785,611,359,774,011,650,499,208,
745,730,541,677,522,209,941,315,162,728,893,007,629,785,534,528,145,598,689,
028,924,554,474,890,341,977,444,417,478,373,210,356,128,854,265,514,687,010,
515,899,697,374,993,313,902,035,498,513,616,817,375,805,530,209,663,353,874,
260,521,003,238,975,340,174,382,895,975,608,134,061,462,522,199,739,613,030,
056,210,707,846,466,457,369,637,904,053,072,117,004,143,010,092,847,463,252,
493,433,392,649,530,067,626,678,864,170,096,484,469,057,027,508,202,274,378,
019,398,515,749,016,332,450,258,494,689,522,239,137,260,042,707,126,825,905,
105,005,327,733,995,750,505,751,285,766,771,913,100,475,961,984,922,791,303,
262,331,126,835,759,117,607,290,940,010,947,096,012,548,152,286,406,987,447,
570,995,491,241,761,842,885,260,780,982,999,202,329,663,118,054,148,474,213,
566,508,923,949,360,643,448,192,176,875,154,440,965,081,036,314,729,383,628,
331,017,125,679,463,232,542,335,596,857,477,896,357,919,931,755,704,242,392,
227,879,672,211,609,494,113,830,123,593,865,929,661,723,930,883,749,485,407,
157,352,228,925,429,344,361,760,152,652,903,847,120,379,996,258,255,122,760,
287,128,335,486,136,714,196,352,248,931,154,504,073,533,411,590,206,953,868,
933,190,511,201,230,831,231,685,767,989,600,576,314,219,687,894,264,208,923,
763,199,560,882,283,745,740,345,046,205,188,545,595,912,885,878,515,231,689,
210,029,202,309,094,294,272,512,892,260,921,686,377,135,966,413,751,696,275,
551,577,637,814,132,080,217,172,240,877,585,887,237,011,657,804,067,325,983,
927,972,131,295,290,707,445,888,810,015,600,094,144,842,392,464,327,574,428,
280,373,580,234,983,703,455,532,307,211,010,691,291,651,778,862,851,279,413,
549,847,096,878,941,548,077,355,960,719,555,334,421,665,100,006,696,472,057,
442,695,559,574,775,048,137,802,430,658,070,469,408,744,830,969,297,033,699,
261,365,750,214,849,603,510,730,133,744,809,182,969,121,985,777,841,543,648,
003,312,840,275,857,272,393,501,883,912,970,303,556,843,984,862,163,693,111,
325,739,394,048,456,895,874,033,942,502,481,549,102,949,647,609,872,335,469,
195,840,317,977,015,458,919,186,533,938,980,522,349,004,335,297,847,196,421,
468,830,167,916,520,227,116,233,772,337,537,920,789,898,059,813,572,377,659,
722,482,600,022,272,895,379,740,005,525,925,516,590,187,805,274,748,974,450,
937,235,131,814,785,656,141,229,115,836,822,434,164,694,472,941,689,536,723,
950,065,930,979,209,938,260,321,386,128,787,245,167,914,199,363,507,685,823,
756,372,331,050,786,916,943,210,293,302,134,600,611,007,556,878,203,400,111,
474,645,572,472,830,604,133,070,424,881,851,543,539,228,527,780,768,050,411,
035,723,217,228,249,361,180,413,279,923,321,956,841,639,512,802,008,339,914,
944,934,886,133,219,972,261,523,497,357,493,725,575,309,215,172,835,832,658,
798,152,717,530,158,502,385,322,778,920,219,444,325,831,435,963,626,866,943,
340,591,352,731,631,038,856,240,073,108,424,892,516,144,243,721,005,705,960,
279,834,955,403,207,886,491,947,783,713,697,276,076,501,346,149,760,403,155,
896,429,633,623,696,482,783,986,301,089,232,860,204,884,631,826,303,435,758,
671,291,275,746,350,887,925,134,769,871,652,025,710,568,185,097,689,860,293,
192,909,760,258,094,611,425,202,038,755,847,295,827,014,747,812,738,074,267,
187,417,765,617,097,548,541,367,585,810,236,456,338,980,754,629,143,038,143,
566,858,559,992,278,892,769,591,615,915,009,361,282,549,591,477,443,338,351,
022,787,988,843,180,105,135,504,423,756,714,539,555,104,409,114,369,287,967,
191,616,538,159,415,513,184,912,957,060,810,972,273,189,315,740,673,312,435,
956,639,701,869,736,194,523,908,205,611,000,478,275,072,153,582,101,159,965,
208,065,913,979,227,965,193,695,793,410,003,832,183,116,529,612,404,325,291,
739,102,913,497,919,980,403,922,489,693,715,936,684,076,779,411,269,436,018,
341,202,074,867,093,621,667,923,970,700,467,002,801,972,266,316,172,007,135,
969,766,757,604,760,449,178,531,276,930,496,790,568,890,443,963,221,986,572,
304,657,206,854,750,863,633,580,363,733,803,596,430,606,704,858,917,655,044,
373,117,889,380,486,548,817,827,616,396,312,041,565,317,299,273,725,689,043,
616,581,413,101,335,392,207,632,386,486,154,368,767,813,225,068,630,329,010,
417,642,058,602,586,962,258,146,687,678,370,925,123,174,803,865,601,892,644,
067,133,743,554,127,289,328,978,324,858,461,764,928,409,403,185,811,382,844,
593,528,210,620,473,531,003,592,674,185,140,611,302,817,039,573,881,037,345,
619,213,136,037,305,972,743,798,375,460,711,545,047,023,062,061,760,066,969,
165,222,090,743,556,725,010,203,679,190,653,200,767,420,381,553,648,554,280,
660,426,720,364,960,337,071,745,880,981,068,838,825,665,246,875,701,634,365,
561,249,639,305,590,336,257,533,410,855,942,576,610,269,231,239,879,861,069,
867,943,180,955,607,381,722,985,408,465,221,381,431,510,468,640,510,192,197,
704,062,723,915,294,372,108,304,726,398,877,481,496,999,311,365,785,428,701,
480,808,309,071,358,369,852,891,307,267,593,926,361,815,290,692,109,264,929,
289,684,935,300,053,822,120,465,350,710,285,830,015,157,853,392,309,142,140,
060,877,150,258,323,029,390,245,861,751,615,828,092,382,740,350,598,529,670,
094,788,243,486,580,927,513,933,871,263,641,228,785,773,946,983,823,543,332,
631,275,873,103,726,199,076,416,858,563,892,231,766,352,108,267,014,603,000,
695,536,616,893,517,573,342,952,987,231,537,562,801,275,326,347,856,841,687,
722,911,870,048,519,058,698,478,399,649,607,580,967,922,271,433,041,270,069,
091,927,706,032,629,728,902,379,550,939,523,608,132,557,438,522,197,977,412,
178,192,815,534,489,542,481,376,858,896,338,259,146,373,618,603,969,803,875,
845,862,346,761,659,232,634,653,317,547,616,250,270,605,532,818,575,965,244,
467,003,432,655,339,108,776,403,056,408,128,972,966,752,040,074,740,914,300,
175,070,145,618,289,599,302,146,502,332,102,164,129,133,454,215,398,116,776,
804,325,652,723,666,680,621,607,549,629,132,785,664,772,342,562,858,420,568,
181,005,397,166,913,548,550,619,904,660,060,074,173,262,302,498,587,478,381,
940,361,036,172,157,991,695,091,082,980,656,420,755,669,454,985,551,470,637,
082,380,395,781,086,594,822,028,377,463,771,145,576,073,862,418,617,780,618,
332,125,938,710,417,067,696,088,210,277,987,876,570,145,407,074,851,917,671,
246,832,334,295,377,428,221,429,105,828,931,824,122,048,804,999,636,050,277,
787,961,350,756,298,624,633,650,895,783,553,972,650,349,449,578,455,802,392,
135,535,017,420,072,015,406,272,695,295,842,827,988,472,791,519,447,357,061,
479,363,347,497,223,063,561,138,144,736,567,891,946,577,044,615,561,889,597,
272,729,560,517,217,151,520,790,572,689,519,229,199,901,505,100,827,226,962,
622,703,478,787,547,622,933,935,661,986,811,833,888,403,707,789,230,297,862,
866,520,431,456,153,062,064,081,101,038,406,682,046,805,704,251,694,635,826,
808,391,101,394,397,335,084,174,032,363,869,339,448,124,592,125,484,370,034,
832,671,452,273,590,903,617,360,696,788,560,246,377,367,486,405,526,701,756,
561,081,692,501,064,113,233,237,004,636,448,871,223,448,076,701,297,979,678,
155,109,229,522,666,139,300,461,589,845,176,395,415,246,668,224,122,143,628,
241,664,223,395,793,821,871,508,859,296,580,708,891,205,234,030,954,955,496,
075,955,482,858,172,575,278,651,765,238,593,415,661,462,679,041,026,989,825,
053,529,407,362,133,695,539,659,194,576,979,475,436,572,140,096,338,029,855,
436,000,773,980,762,406,349,092,179,461,709,642,442,051,597,231,085,903,307,
125,024,773,486,953,554,767,187,187,989,796,345,890,445,291,834,213,699,143,
064,172,905,171,139,965,824,260,203,613,623,681,117,745,491,134,183,766,045,
459,865,994,223,616,152,123,434,501,447,091,140,794,583,036,109,233,769,809,
253,556,925,236,017,893,190,469,505,150,667,807,421,014,754,421,249,775,653,
628,050,017,830,882,544,802,054,864,773,846,723,473,884,999,464,236,000,802,
968,405,452,457,153,885,315,362,346,003,262,964,147,164,433,420,303,838,067,
795,808,032,794,780,387,475,342,846,835,808,567,583,308,507,037,861,179,678,
741,582,210,998,560,640,449,576,907,582,450,160,523,740,892,541,524,168,492,
233,545,623,887,340,059,482,116,955,841,654,378,303,972,048,943,663,942,699,
537,157,688,336,404,817,370,955,544,179,059,007,372,564,423,788,878,806,750,
991,780,942,160,767,124,786,308,722,223,142,147,443,813,278,444,106,592,687,
461,692,706,621,064,208,369,009,952,584,684,431,953,785,752,944,817,180,505,
370,163,536,477,349,354,534,869,125,754,728,197,579,387,002,268,864,249,916,
657,093,434,746,322,695,344,133,202,875,123,220,356,180,251,927,502,888,531,
788,733,003,430,076,492,591,137,375,242,125,837,360,350,494,185,007,137,913,
541,592,827,120,302,062,226,324,853,745,368,628,510,089,346,302,545,491,388,
153,461,123,854,226,492,341,164,492,208,094,918,217,225,198,260,587,969,380,
262,647,407,419,191,265,257,496,197,822,078,267,545,868,628,713,075,374,008,
902,713,809,373,943,705,320,110,374,166,800,675,252,604,130,730,359,326,534,
736,629,720,454,250,482,734,167,365,783,518,813,563,483,786,404,055,501,304,
232,967,774,135,686,984,363,439,279,973,660,726,693,723,823,630,419,252,173,
372,470,920,937,739,590,256,001,990,425,970,302,025,556,671,378,838,626,264,
664,522,393,229,783,085,019,228,260,498,463,600,980,121,269,323,045,489,220,
767,845,219,373,085,033,766,001,713,921,401,845,344,660,116,711,652,147,366,
294,025,271,910,657,106,785,410,194,880,746,474,493,298,859,407,239,404,057,
812,923,237,607,289,307,546,963,681,412,316,896,594,955,426,002,133,413,861,
246,697,700,137,446,580,367,541,830,890,381,881,352,526,447,185,164,567,156,
994,006,819,478,143,099,299,652,076,761,974,839,660,248,041,993,728,746,719,
899,451,120,645,243,287,313,131,154,344,434,038,235,981,687,935,129,374,566,
116,511,312,860,945,344,504,382,583,725,475,392,518,904,495,599,023,838,457,
674,862,512,601,396,765,514,424,933,518,191,896,600,374,172,562,986,025,420,
898,094,903,786,070,336,626,292,554,602,332,118,286,174,897,717,748,383,313,
533,575,743,864,020,212,033,663,444,819,917,787,541,278,383,138,622,478,349,
706,884,185,507,137,735,214,444,686,143,476,131,987,378,030,718,814,451,303,
647,912,001,999,302,714,939,875,119,623,661,714,313,960,608,241,191,622,948,
414,422,373,608,204,655,866,214,431,118,922,303,693,268,132,899,882,835,877,
430,387,699,742,745,169,378,226,551,350,755,912,375,967,828,311,508,247,361,
825,775,430,357,094,311,092,430,042,279,262,921,848,827,416,087,901,494,449,
040,400,075,195,095,740,082,553,178,416,433,552,535,904,318,061,649,559,404,
446,475,864,747,103,675,207,381,110,417,514,588,557,641,452,649,125,664,526,
902,069,511,547,570,291,836,109,346,527,622,864,144,495,484,806,851,868,181,
815,587,775,935,310,518,426,807,707,358,552,428,978,752,706,980,678,395,539,
742,098,944,796,147,154,514,504,770,617,928,794,673,516,193,652,880,671,253,
206,702,076,747,021,544,106,444,810,203,436,738,356,681,288,870,898,204,632,
754,792,199,907,348,731,242,452,324,236,863,254,842,925,085,672,166,183,843,
130,823,128,129,006,326,676,572,313,537,119,758,782,366,343,891,390,071,519,
505,900,123,638,927,195,318,482,592,308,740,025,395,599,599,613,722,972,477,
405,963,032,961,458,404,511,204,302,882,098,276,917,938,388,626,790,426,894,
457,701,016,496,953,691,129,445,187,715,287,045,126,775,262,870,997,013,123,
912,870,605,853,477,968,493,348,797,736,294,371,993,200,960,878,499,930,351,
997,336,014,008,766,264,322,798,177,702,519,799,002,104,050,236,589,354,889,
823,066,278,248,548,780,760,996,996,557,716,140,809,235,737,095,715,631,468,
456,804,124,794,443,595,765,175,353,627,428,747,466,511,291,287,468,872,270,
685,050,199,881,168,629,942,703,226,374,779,528,785,254,741,217,864,726,096,
647,215,134,508,141,126,303,686,072,029,098,451,524,987,435,360,907,100,574,
088,669,010,550,624,709,584,952,526,939,332,101,953,297,824,964,263,139,998,
864,825,210,456,218,435,533,621,899,627,084,334,392,373,441,083,031,562,824,
661,064,096,067,090,953,047,692,288,563,583,249,405,028,689,457,527,081,966,
350,967,365,360,983,356,115,944,815,201,533,545,687,290,574,561,707,613,717,
575,663,997,706,677,822,756,522,635,920,955,318,978,445,647,029,353,948,410,
681,135,698,370,363,754,764,987,043,429,928,974,778,996,781,911,614,951,961,
604,792,254,601,329,752,058,477,741,806,070,653,244,629,456,311,373,898,922,
224,454,251,412,396,133,596,733,151,021,900,484,047,570,536,361,526,426,442,
347,123,725,291,501,566,100,291,797,533,960,642,455,211,238,986,268,324,170,
402,675,212,444,278,706,432,733,489,801,457,948,899,072,431,382,274,956,858,
426,668,097,496,978,267,099,029,637,225,709,172,062,288,463,905,098,896,605,
270,820,426,178,375,183,670,187,979,652,126,622,698,958,324,924,810,096,575,
867,159,036,124,470,328,570,768,480,308,683,911,288,288,580,747,121,195,180,
036,471,525,758,229,557,555,931,625,941,246,525,362,822,159,466,051,908,708,
734,717,960,923,947,166,914,997,363,725,547,173,894,103,966,585,294,523,250,
334,503,790,366,076,560,661,249,368,299,963,128,013,263,035,105,650,388,546,
680,115,145,531,595,584,367,553,590,461,668,563,901,110,337,102,298,066,545,
020,607,157,093,997,935,441,431,475,905,643,431,013,178,141,874,265,057,979,
885,158,020,847,697,598,771,329,907,823,339,036,015,131,419,512,835,174,519,
968,691,221,589,162,098,530,709,570,854,834,237,703,766,835,468,489,807,447,
620,864,221,873,785,115,463,117,820,679,092,274,383,369,507,272,767,340,299,
446,971,859,119,174,619,505,699,877,561,032,120,664,761,856,961,105,588,708,
197,921,326,347,689,793,113,754,751,735,031,855,200,261,257,761,677,406,006,
803,976,745,295,118,949,742,232,543,357,496,139,990,921,899,001,686,651,111,
481,828,633,695,481,327,378,525,363,548,896,854,184,725,039,591,415,589,532,
398,889,687,261,415,689,161,987,583,586,249,735,860,003,660,975,421,321,206,
546,373,129,368,422,356,418,504,347,847,356,370,648,399,985,883,389,395,680,
862,963,756,700,454,759,510,080,503,131,670,365,743,624,710,054,962,850,248,
742,282,680,896,650,581,816,753,288,852,376,983,079,048,141,268,429,813,599,
265,980,425,437,166,176,057,049,517,141,941,287,303,737,272,837,275,059,349,
694,342,491,611,545,272,903,430,169,178,495,984,390,058,545,857,613,107,080,
011,286,619,679,210,984,810,010,869,128,696,309,155,419,324,254,778,882,328,
538,228,110,949,061,415,377,020,695,167,909,954,719,623,149,982,869,989,314,
107,412,752,828,625,614,640,593,250,348,409,086,236,724,887,123,215,186,753,
644,768,163,117,041,108,381,755,217,561,099,357,222,883,417,506,897,256,183,
305,380,580,772,734,364,666,866,961,053,974,130,628,433,066,084,383,423,366,
976,401,821,615,307,372,864,550,067,154,118,610,326,287,080,291,380,252,014,
214,760,023,443,848,544,033,959,918,008,547,482,576,221,395,019,173,165,080,
001,344,787,401,270,391,388,373,754,626,380,584,207,892,958,279,235,562,838,
913,343,848,944,316,116,740,042,493,441,130,016,214,534,222,971,952,298,588,
077,108,567,613,633,064,812,539,907,897,098,757,510,719,275,275,125,075,757,
603,816,572,451,694,745,049,133,255,607,380,916,386,554,456,948,971,110,918,
614,458,159,695,642,644,515,219,626,047,506,051,762,265,482,999,933,891,979,
693,206,697,919,801,581,574,458,911,743,129,403,216,866,833,107,118,354,620,
525,222,095,958,981,202,774,396,174,125,844,999,690,142,310,928,126,845,823,
840,546,445,092,697,272,316,789,171,430,916,655,326,765,978,838,613,433,967,
342,700,673,189,543,196,425,282,970,970,208,890,540,372,141,620,288,245,516,
572,745,649,955,503,108,547,622,182,173,026,135,682,868,961,895,248,606,478,
675,486,944,768,954,905,625,807,239,210,720,660,017,318,636,022,443,932,788,
584,789,055,136,654,794,025,955,896,053,323,026,468,895,491,734,720,805,737,
149,787,537,484,757,050,706,158,619,295,990,014,108,996,827,525,305,108,581,
995,725,774,144,052,341,045,631,778,020,270,025,107,694,240,456,115,616,017,
096,959,430,098,699,162,215,318,322,850,475,062,550,789,197,017,926,535,451,
262,240,584,890,038,184,185,528,581,120,435,204,535,531,074,404,760,952,083,
771,994,552,322,290,751,893,848,688,163,711,921,155,189,836,926,889,911,901,
972,116,454,984,466,708,401,631,556,750,859,865,390,515,542,821,327,438,750,
074,859,539,906,309,799,975,843,571,463,932,443,667,366,708,611,614,061,566,
864,965,183,261,715,304,672,965,168,525,039,126,862,134,759,421,986,221,597,
510,667,774,005,315,207,465,901,210,236,733,986,959,891,927,777,091,038,688,
424,904,557,211,813,633,625,669,656,820,428,852,358,519,454,458,466,414,476,
508,203,106,674,711,831,951,174,321,805,878,137,280,474,977,379,004,369,438,
804,625,759,056,108,330,933,270,140,386,901,319,246,898,283,355,065,158,148,
376,174,043,100,494,137,191,177,831,817,293,034,131,670,032,597,458,036,361,
675,465,815,064,004,002,936,203,598,574,517,993,984,982,265,617,685,724,774,
253,058,891,327,901,671,146,892,963,208,257,657,216,280,194,850,961,284,306,
934,678,940,778,982,776,102,831,995,404,516,079,263,960,129,814,977,833,029,
478,314,724,104,024,426,024,822,466,056,614,733,446,924,877,171,794,680,322,
138,871,339,267,557,883,697,565,832,756,695,973,984,512,603,497,914,522,742,
076,698,745,517,908,366,133,875,052,059,347,411,509,235,321,057,000,985,726,
605,997,256,998,458,944,656,521,219,272,103,325,092,685,162,306,744,017,316,
403,610,223,671,245,158,763,517,860,644,384,291,902,180,413,078,713,723,771,
150,156,835,359,316,626,848,705,778,828,822,127,289,556,094,365,604,174,189,
188,504,853,603,050,411,950,680,676,199,140,458,159,793,367,288,305,808,512,
426,561,776,076,954,161,108,284,714,285,487,329,643,001,956,444,618,885,835,
477,588,413,389,037,864,465,244,780,498,200,774,018,169,197,819,101,763,331,
811,754,826,052,641,185,770,603,785,688,009,736,688,646,093,208,333,900,207,
466,427,358,492,970,029,678,368,088,319,603,039,468,803,459,001,106,577,010,
210,648,534,043,105,445,677,539,916,712,842,157,435,479,472,707,005,480,851,
924,430,854,618,383,400,363,611,937,065,802,838,779,421,946,506,626,235,363,
944,905,657,644,763,896,293,225,138,987,113,051,704,398,214,375,247,270,712,
429,417,316,254,679,491,231,004,180,425,491,307,852,768,063,371,448,789,217,
885,531,388,549,795,146,937,003,510,332,423,824,566,394,022,422,770,717,538,
348,801,030,605,237,602,462,876,987,114,760,437,380,797,465,640,485,415,932,
076,347,682,573,291,103,544,007,756,730,895,903,805,140,011,850,097,442,054,
510,341,281,577,634,393,983,165,256,615,259,242,753,297,753,798,834,711,615,
790,252,297,714,669,016,813,244,456,891,209,664,007,215,261,233,235,561,388,
124,479,699,556,583,771,972,204,554,185,145,301,229,690,151,833,172,830,941,
047,952,885,456,233,631,161,694,792,711,197,833,716,270,510,326,919,768,593,
905,142,832,499,110,939,144,726,875,329,076,716,558,654,065,835,429,134,728,
592,621,391,290,753,876,247,551,679,645,846,536,182,895,925,015,740,617,741,
725,054,428,626,949,211,842,589,214,116,413,912,006,051,960,020,515,240,757,
153,009,088,353,309,533,602,973,727,482,852,506,783,637,497,431,471,528,194,
336,845,252,058,773,811,961,273,392,248,862,798,782,991,337,586,745,742,933,
059,024,351,378,652,069,963,181,522,558,798,173,936,248,301,738,968,949,002,
869,628,519,311,799,584,858,946,105,616,542,025,180,512,572,322,150,590,770,
129,927,895,581,298,042,080,186,193,723,304,600,674,978,395,784,726,171,560,
642,444,907,994,857,601,048,173,327,059,036,715,154,030,970,265,587,772,549,
963,389,770,753,042,029,377,984,686,595,726,161,982,611,777,241,480,072,458,
918,398,216,694,637,253,402,672,278,617,054,498,156,369,588,456,153,519,475,
585,942,250,491,594,554,280,819,714,423,780,366,230,987,503,942,495,681,537,
173,185,963,095,720,007,715,709,154,500,591,900,152,930,267,720,976,414,233,
538,196,800,243,414,687,266,912,955,738,729,831,274,478,772,330,073,410,976,
936,534,235,632,795,783,621,371,511,755,995,888,850,390,132,527,175,166,906,
134,155,818,010,768,381,972,693,640,491,902,795,693,260,977,310,918,605,655,
794,105,473,799,885,195,854,332,469,352,429,839,047,488,836,317,033,848,575,
246,145,489,164,218,690,708,063,615,727,590,128,270,376,873,859,015,668,932,
957,329,714,484,681,879,964,872,467,325,948,202,540,024,950,848,903,601,166,
077,876,890,820,252,184,619,588,384,695,860,344,338,853,769,962,454,498,080,
235,214,515,828,680,332,048,958,521,765,211,496,825,099,086,040,251,882,615,
177,711,250,441,221,973,231,277,867,884,199,204,763,595,921,108,420,543,358,
149,168,338,176,872,213,097,927,135,796,913,676,483,889,716,396,691,101,663,
985,838,758,846,532,180,272,151,593,650,492,991,706,848,919,741,338,160,381,
820,347,461,472,704,085,215,315,162,524,709,436,016,255,383,193,602,235,118,
679,901,627,858,115,415,843,489,410,386,275,847,816,289,300,578,263,213,326,
177,905,389,942,754,283,813,348,558,295,510,858,503,671,351,815,473,319,546,
971,955,748,694,184,399,457,670,335,745,587,845,850,430,468,889,405,000,978,
739,610,877,053,422,174,602,166,568,656,232,617,243,828,158,974,794,669,750,
585,626,036,996,548,814,301,348,957,302,821,565,601,216,519,511,449,632,278,
511,731,454,873,955,124,133,431,250,399,955,676,702,288,161,594,402,715,671,
292,091,069,974,996,570,896,975,442,040,325,682,952,077,649,276,889,274,136,
994,906,304,584,478,831,177,035,987,616,406,132,666,339,367,858,148,564,849,
606,353,982,758,604,901,240,685,868,367,155,331,281,354,824,278,670,552,639,
943,261,382,027,361,727,670,279,973,756,545,654,550,144,733,505,582,090,481,
107,654,651,040,538,801,744,333,200,085,506,851,419,219,196,048,437,901,593,
078,163,384,360,615,503,707,360,651,157,911,861,976,259,756,383,910,894,255,
085,439,134,447,146,309,826,082,889,593,671,636,681,911,860,717,808,553,822,
859,313,407,466,210,199,285,934,938,197,930,020,105,002,460,771,271,216,414,
904,534,123,300,398,894,355,739,686,440,912,905,116,304,653,184,118,292,560,
877,055,551,923,226,385,386,144,021,380,381,069,544,383,868,321,155,008,505,
172,246,930,487,448,018,751,530,865,995,483,488,055,419,625,002,807,362,488,
176,336,862,394,124,045,683,643,134,353,586,628,075,489,695,029,594,686,908,
628,720,016,609,941,254,135,806,800,620,764,918,911,087,127,093,306,296,301,
020,844,519,952,412,731,292,174,373,813,692,114,140,538,898,919,338,745,313,
824,042,185,745,948,509,127,629,609,941,089,317,151,011,726,496,561,114,424,
162,906,934,197,310,015,772,024,393,797,014,725,679,558,940,465,571,587,546,
031,924,106,367,339,224,011,554,920,276,988,867,719,976,577,403,426,190,958,
281,794,097,999,195,266,075,812,886,855,410,230,255,884,957,245,494,921,542,
302,288,390,593,110,708,590,829,717,383,296,128,202,457,181,599,778,031,300,
992,600,661,609,412,751,104,116,401,490,963,271,060,541,890,474,261,534,963,
159,621,509,363,745,081,322,276,529,357,285,526,313,149,411,559,089,244,346,
812,875,628,601,551,855,640,909,256,679,113,101,204,443,350,598,987,715,318,
544,437,140,935,670,322,154,112,139,897,480,982,590,489,539,646,726,560,167,
220,847,353,928,080,382,546,954,803,032,610,427,262,625,399,001,257,446,671,
450,793,272,832,092,945,849,276,381,427,067,220,322,611,006,477,887,655,210,
018,201,657,371,118,065,636,040,360,236,152,575,117,468,539,416,509,693,179,
023,430,032,027,613,287,848,544,102,830,168,368,832,686,737,825,714,522,263,
516,697,264,055,495,332,384,725,025,284,624,858,950,826,566,386,404,856,176,
501,022,219,037,820,163,910,779,536,107,783,491,350,281,779,637,833,955,936,
428,422,909,787,319,467,741,232,893,221,151,466,262,413,333,640,809,793,896,
921,001,581,022,461,595,644,882,864,670,322,999,896,763,758,274,845,266,040,
488,795,311,647,338,823,662,339,261,046,184,239,441,792,851,649,576,204,311,
073,371,037,309,662,800,550,882,956,672,675,977,368,275,281,037,873,596,339,
399,004,118,256,013,642,587,527,785,112,461,840,628,536,720,478,740,775,532,
592,594,063,884,047,969,147,987,230,659,135,015,122,443,657,290,446,677,740,
069,580,259,181,796,038,886,013,847,090,207,599,008,895,721,345,831,904,812,
182,650,832,265,314,635,948,653,026,771,085,438,200,329,973,570,902,162,500,
680,985,702,240,957,900,586,200,583,364,083,230,259,166,860,725,511,678,884,
544,633,868,203,592,202,297,013,187,109,015,387,560,270,947,058,188,210,843,
644,863,919,865,447,572,761,928,005,906,029,266,555,779,470,477,697,241,522,
063,281,414,536,742,628,052,141,364,933,044,155,494,513,802,965,371,007,629,
165,511,589,469,019,230,651,791,201,922,588,589,691,113,449,922,159,855,974,
061,134,554,686,246,359,416,949,800,625,970,709,847,743,505,993,284,262,866,
162,054,455,066,202,207,001,338,705,781,324,161,498,254,118,344,662,941,593,
835,327,254,846,989,210,013,695,151,893,284,351,420,148,015,784,172,864,602,
247,335,564,650,035,066,785,504,546,834,974,640,789,360,196,029,753,392,174,
412,438,351,161,157,440,817,713,724,113,361,778,873,044,025,995,299,425,208,
567,803,706,043,826,174,478,426,650,019,688,153,297,598,697,030,572,751,080,
792,846,174,793,645,276,204,025,212,278,843,953,486,999,324,348,888,331,792,
788,421,669,287,868,237,466,310,744,285,658,035,001,047,430,357,748,324,570,
303,027,321,535,164,253,828,358,515,131,814,685,025,757,206,302,766,914,029,
088,192,660,151,753,365,464,419,339,977,649,924,794,877,576,117,038,137,894,
719,111,995,484,544,124,029,294,679,579,689,151,205,905,644,347,968,162,981,
723,099,424,660,984,821,664,435,649,856,389,811,677,645,863,473,984,507,328,
625,896,734,154,612,773,169,602,929,161,471,865,970,756,589,371,831,877,365,
255,133,222,982,939,573,745,348,254,077,823,181,164,772,380,959,648,979,573,
151,768,281,820,750,391,095,854,901,372,256,486,011,958,991,675,412,073,062,
925,206,660,418,110,910,473,021,259,910,601,382,617,018,351,544,555,067,168,
315,297,738,752,364,229,855,422,375,935,687,219,244,272,588,681,868,062,741,
418,486,434,877,801,681,426,777,533,749,241,579,801,881,648,803,369,934,775,
376,320,464,285,603,308,874,665,985,768,742,828,326,752,024,292,136,001,094,
562,825,965,740,568,435,187,525,930,905,744,988,954,600,253,989,272,602,842,
274,327,394,029,754,733,584,777,230,993,863,328,907,908,022,709,653,049,396,
644,509,057,845,748,280,501,908,567,347,068,668,369,834,653,749,367,324,693,
736,526,601,153,134,447,253,358,801,944,192,375,493,301,039,050,744,334,416,
239,211,761,427,594,458,626,951,926,380,172,012,419,665,323,328,738,837,949,
061,753,252,311,975,670,554,136,379,226,972,137,528,310,379,638,799,498,464,
877,732,234,047,253,309,763,047,160,049,664,680,383,385,226,838,692,636,631,
236,753,259,550,123,637,130,999,693,446,682,623,652,457,651,392,630,699,382,
176,844,240,414,740,201,523,080,227,730,069,071,938,208,555,022,245,820,702,
125,209,956,922,587,640,544,943,734,259,538,002,016,726,293,997,478,051,220,
636,014,636,314,479,631,658,369,723,846,830,644,862,019,798,202,895,619,250,
640,334,909,328,000,317,453,376,058,729,275,464,660,521,952,345,410,727,231,
947,248,718,660,702,147,451,776,630,279,279,205,334,481,256,383,367,389,258,
481,771,555,188,023,065,395,783,392,925,852,329,845,327,841,847,399,659,708,
692,473,942,274,835,403,303,755,091,747,234,371,535,855,684,016,315,556,888,
886,120,253,882,774,057,369,555,403,303,476,983,738,120,645,491,851,307,851,
148,644,497,302,572,981,118,480,702,495,501,879,259,134,209,165,032,156,279,
876,979,217,446,416,172,028,866,261,860,902,394,545,769,554,571,101,835,701,
556,661,028,866,366,733,828,543,758,309,958,568,058,101,678,076,693,772,899,
372,256,781,859,943,090,741,834,750,138,656,562,094,580,529,328,500,788,958,
356,197,401,671,400,391,314,517,622,827,191,457,779,441,244,874,187,582,100,
262,387,289,132,310,217,267,972,748,420,384,026,047,303,952,644,167,932,361,
108,745,813,874,703,948,045,103,948,805,626,638,517,147,122,742,747,881,053,
876,594,630,042,151,843,749,393,020,823,280,468,614,031,089,412,605,253,421,
269,695,618,502,648,997,998,199,183,262,171,303,926,270,135,148,811,217,285,
679,135,965,166,236,311,119,545,648,349,067,395,035,232,948,505,346,853,166,
236,897,137,754,397,821,268,220,093,536,514,831,025,516,524,706,013,401,580,
390,153,376,543,012,088,080,002,807,453,564,448,166,687,261,537,870,510,882,
631,866,903,393,204,783,636,209,342,728,360,843,674,046,972,814,335,808,348,
647,849,624,933,463,231,839,723,607,891,480,561,130,915,611,914,677,326,932,
418,528,259,242,938,108,659,061,112,120,073,597,076,121,563,592,254,498,706,
489,642,844,688,660,282,100,883,272,340,678,880,347,739,280,980,638,803,216,
659,902,603,699,487,002,966,891,525,213,777,852,904,999,796,089,011,552,429,
182,698,173,405,882,133,282,696,925,109,331,924,755,577,576,731,321,021,656,
665,865,113,138,430,532,255,448,854,035,744,037,092,713,923,125,355,689,530,
200,903,738,597,710,576,041,011,285,278,228,893,862,371,709,656,056,364,521,
185,411,538,586,137,413,388,966,611,590,263,239,304,909,948,019,817,831,417,
374,260,782,912,987,793,379,310,378,171,091,275,169,867,806,092,102,019,397,
977,206,322,006,491,634,072,175,886,656,466,744,942,018,142,460,813,510,167,
089,721,532,346,112,547,264,987,948,121,379,294,351,689,422,286,838,787,510,
533,525,768,756,176,961,695,822,455,805,403,319,598,731,921,588,563,038,734,
964,581,916,217,952,126,829,808,346,013,423,889,301,284,848,369,814,408,633,
003,719,018,364,724,821,143,481,325,602,839,339,700,541,159,533,351,271,474,
443,460,953,283,084,391,786,735,130,583,685,526,111,000,322,972,989,509,366,
369,426,076,863,460,537,891,910,814,880,714,593,453,351,208,550,676,815,792,
267,548,196,131,168,156,738,079,398,636,251,654,640,144,674,802,026,244,860,
889,255,533,747,917,286,971,337,584,970,074,346,013,058,420,530,757,909,603,
936,646,825,510,028,951,273,154,013,166,838,434,924,623,222,416,249,678,421,
781,052,063,373,600,298,981,010,534,134,467,606,842,030,304,467,206,754,274,
429,654,410,087,578,008,105,943,931,827,422,593,988,085,588,920,639,445,315,
558,104,138,992,253,641,442,184,564,120,147,875,209,493,504,211,696,820,706,
456,510,634,613,136,232,197,358,337,482,764,530,302,449,966,442,795,162,893,
928,071,162,883,420,335,514,953,905,645,299,778,085,013,166,555,402,794,276,
202,405,631,205,748,872,017,579,731,900,605,430,617,583,784,408,790,867,324,
184,739,592,238,942,881,759,550,985,813,461,481,009,344,614,050,608,291,707,
543,286,013,247,126,237,429,638,914,055,545,201,384,228,157,870,931,325,330,
413,998,391,673,700,100,735,768,610,088,348,786,884,176,131,182,696,781,537,
836,879,845,778,622,136,974,191,385,203,528,647,477,079,092,741,698,170,558,
578,147,859,687,712,567,773,737,531,034,757,566,801,792,646,685,085,813,494,
703,414,749,543,269,071,145,195,936,015,644,349,073,455,382,418,405,995,980,
413,933,410,281,169,314,506,787,355,452,290,475,790,805,993,124,698,094,922,
481,455,563,770,741,210,216,806,309,773,224,463,410,680,664,768,993,570,787,
030,755,508,043,535,064,321,584,509,354,983,060,324,588,892,408,553,277,412,
490,682,678,500,784,338,649,972,048,491,453,461,827,324,492,662,453,753,458,
778,822,159,019,291,407,564,671,866,000,706,879,272,294,666,713,945,746,623,
961,464,634,280,153,259,885,952,630,455,311,591,669,407,874,598,536,541,139,
855,746,956,171,547,811,158,136,827,163,360,018,789,615,183,021,207,130,351,
973,419,445,125,275,773,384,779,258,648,438,425,443,102,678,395,673,514,189,
225,408,352,285,176,596,834,069,520,881,976,108,790,675,151,560,699,339,212,
445,142,078,918,407,076,830,634,248,740,050,989,506,840,800,366,312,087,513,
969,299,776,526,236,812,069,873,830,920,114,374,267,687,049,286,577,594,803,
854,589,448,623,792,602,011,577,663,702,906,442,556,800,642,051,526,954,628,
966,852,866,554,962,841,437,394,061,867,679,312,408,571,036,340,424,286,433,
370,140,569,593,262,888,082,249,817,534,665,860,778,332,781,063,112,570,591,
055,559,704,409,125,470,264,551,047,803,925,259,497,524,909,488,518,645,390,
422,998,350,665,760,717,521,044,385,777,938,149,127,180,172,198,095,636,951,
744,025,485,665,101,996,961,652,933,557,091,814,655,801,410,426,265,501,725,
949,613,489,701,695,614,403,253,584,528,291,218,956,600,219,939,071,135,838,
795,356,000,500,781,806,743,327,052,132,951,038,258,625,247,725,482,925,120,
037,046,497,015,042,806,153,676,304,310,211,056,909,690,927,320,214,486,953,
645,806,936,263,818,598,706,578,141,847,376,488,829,740,635,825,102,503,426,
257,940,078,315,708,606,435,219,599,070,795,960,509,015,137,136,054,075,874,
837,705,810,839,013,570,662,296,236,156,285,470,404,086,974,585,135,234,412,
683,848,816,684,190,054,313,746,458,941,435,416,291,787,883,065,201,676,661,
801,582,299,460,274,394,564,037,859,396,934,277,772,003,803,996,964,802,940,
333,761,713,408,408,021,382,470,712,456,292,941,611,220,465,997,313,268,462,
807,531,640,789,951,031,330,450,540,409,555,200,551,546,008,680,347,858,954,
835,013,411,950,628,982,503,926,842,165,498,285,165,112,424,509,284,230,196,
372,871,501,507,052,390,650,519,780,182,242,304,306,495,526,309,775,426,843,
308,236,045,125,125,125,484,536,874,681,462,414,313,503,128,298,812,041,611,
377,236,838,264,250,455,679,155,562,245,001,351,957,482,664,899,852,701,591,
204,347,040,192,266,462,013,096,525,117,720,485,940,673,805,804,359,742,323,
825,366,317,105,203,957,510,537,071,084,610,439,684,225,577,966,961,783,074,
832,839,421,640,652,835,531,564,328,678,313,415,104,092,337,266,560,902,354,
033,600,744,123,170,327,829,070,050,183,002,813,886,304,542,580,595,621,844,
319,835,186,443,096,822,259,116,176,868,961,629,378,866,852,598,671,339,886,
857,919,667,473,375,440,979,443,595,875,971,863,325,982,593,925,797,388,914,
437,085,797,709,359,392,250,678,606,407,527,275,691,377,787,343,781,089,632,
547,771,341,793,398,898,001,360,901,791,706,358,433,357,124,786,300,872,917,
294,078,431,067,988,692,454,489,160,567,400,624,642,707,627,896,640,027,036,
066,297,626,361,349,214,963,756,161,617,487,741,655,556,359,383,721,615,796,
067,501,699,496,781,416,194,264,068,669,974,319,530,062,150,488,656,230,425,
058,754,643,839,869,457,399,257,588,960,664,148,430,922,536,290,364,387,115,
990,589,552,112,216,686,002,235,816,266,529,563,452,895,021,086,057,748,102,
636,868,214,440,495,002,293,581,473,324,932,750,217,962,296,042,516,210,495,
705,868,767,909,766,792,781,972,708,581,770,525,561,181,548,878,875,157,148,
963,822,519,238,610,045,070,048,614,697,721,053,863,197,803,252,331,076,908,
156,476,826,419,429,322,438,458,214,534,935,066,459,074,817,174,280,914,946,
649,516,659,538,091,107,128,981,951,264,013,015,769,352,379,666,565,153,087,
052,284,759,551,588,234,702,645,564,455,757,412,359,270,841,042,859,627,061,
628,296,396,281,308,922,472,088,075,880,380,341,632,825,474,037,353,636,844,
457,725,597,464,266,432,604,052,240,793,273,024,403,233,375,410,421,816,240,
747,241,956,020,410,953,557,693,254,424,065,000,054,926,202,309,638,456,266,
456,344,359,257,085,681,802,793,370,398,125,429,993,554,996,385,715,824,224,
456,931,030,960,175,651,841,295,426,318,939,543,843,902,643,296,747,004,126,
383,200,717,280,627,312,973,516,851,423,147,520,221,706,167,875,714,317,954,
164,976,127,982,648,655,706,131,785,033,808,903,426,827,999,366,638,881,935,
947,852,130,165,481,022,851,403,190,001,057,521,791,687,050,999,435,576,301,
988,981,721,821,084,042,238,037,090,916,445,765,168,222,473,375,090,726,689,
931,314,654,991,201,219,295,958,715,827,693,358,742,118,494,094,736,337,802,
048,016,386,073,317,893,009,543,555,683,176,461,353,148,860,003,115,901,453,
559,443,968,741,605,747,178,192,809,088,801,159,020,342,729,477,159,589,918,
146,521,835,833,283,017,844,177,548,630,087,569,662,815,378,297,619,275,367,
514,980,790,149,945,587,822,355,965,241,709,846,816,946,710,252,403,414,330,
688,242,473,401,279,250,684,185,170,406,825,717,818,207,660,358,591,252,016,
337,085,937,354,595,710,074,697,359,953,955,087,415,200,880,130,291,155,875,
140,179,216,132,204,818,906,208,427,637,827,151,918,522,423,352,947,807,983,
550,229,696,279,374,014,089,858,282,498,833,909,445,408,747,799,789,771,775,
817,167,512,345,112,755,154,866,081,019,519,198,826,031,428,948,244,145,153,
247,748,916,169,447,439,949,025,765,841,730,337,253,113,181,376,930,160,742,
380,611,233,680,731,991,555,242,109,141,006,562,643,032,790,352,676,172,228,
683,118,503,565,478,302,224,612,556,487,819,509,620,194,870,926,096,602,041,
858,356,332,567,720,650,066,608,368,157,220,739,591,884,723,057,827,901,663,
878,449,363,604,327,197,215,369,636,085,911,328,900,002,735,652,134,125,590,
868,520,034,261,702,356,005,870,247,876,199,340,977,357,397,049,599,698,486,
050,823,533,141,842,549,269,564,725,345,533,520,689,430,643,428,685,166,474,
098,126,205,912,623,390,737,992,199,010,258,934,624,164,451,795,139,570,224,
132,089,654,681,928,330,843,579,468,453,523,819,698,750,825,532,167,710,976,
503,267,265,650,734,357,281,867,338,266,423,599,807,921,254,435,243,139,616,
417,418,389,672,533,541,779,262,924,828,173,822,806,799,398,913,301,122,385,
242,092,110,845,181,101,978,107,990,292,433,323,537,668,991,890,107,474,974,
778,419,791,143,532,689,959,039,173,947,893,803,565,622,310,535,535,586,291,
659,380,093,060,775,939,700,561,306,608,606,238,842,094,790,055,755,099,509,
725,048,786,814,106,388,675,577,355,614,366,577,889,524,415,597,262,091,606,
573,327,180,393,141,549,166,081,812,478,476,901,589,955,874,421,174,027,730,
480,271,767,471,355,828,942,748,318,869,033,713,307,770,708,897,348,777,839,
990,630,019,474,581,397,246,110,274,971,356,657,457,768,137,304,221,477,279,
651,173,180,804,758,823,960,293,808,938,155,502,588,073,412,558,904,439,531,
439,977,617,699,010,830,993,247,106,439,620,744,315,895,792,869,309,726,625,
242,636,520,142,874,506,304,053,587,229,112,743,820,519,071,440,920,406,712,
973,899,073,944,089,512,250,572,122,576,332,896,524,664,043,109,230,594,655,
515,287,318,725,659,393,473,286,667,067,412,273,234,630,461,141,646,217,954,
191,702,713,627,870,834,737,688,200,447,765,609,355,415,960,059,597,742,790,
030,294,772,792,318,163,055,352,403,654,115,515,959,578,480,688,790,135,126,
656,434,023,548,220,542,709,239,312,787,894,119,158,816,512,267,823,029,861,
024,679,543,810,632,277,368,883,278,739,293,783,925,782,886,144,942,549,937,
536,769,858,941,941,762,275,220,455,508,875,070,195,525,182,768,324,526,608,
113,528,382,201,420,333,454,276,590,036,018,384,298,351,029,533,261,002,907,
735,519,085,378,904,240,211,638,064,089,873,891,152,164,927,632,936,038,337,
313,733,333,148,831,101,410,114,149,233,395,434,270,093,546,818,698,776,022,
194,726,179,226,005,700,571,098,302,397,472,512,408,654,373,301,270,674,122,
424,874,129,968,175,048,943,935,978,513,943,871,080,026,312,013,145,669,195,
617,372,686,211,941,633,747,918,700,082,573,511,255,492,756,253,489,069,341,
601,329,969,523,681,598,672,740,046,495,141,981,148,872,019,715,904,348,663,
599,351,384,953,439,128,055,390,229,740,101,497,161,682,003,424,028,867,841,
118,765,052,881,111,048,550,129,364,723,746,796,326,234,464,902,162,525,922,
256,481,002,891,445,142,257,007,571,690,038,971,426,753,528,245,649,152,367,
758,303,539,794,250,949,050,548,443,427,629,614,607,486,769,159,684,160,932,
287,303,162,210,342,373,742,266,982,182,307,691,442,636,820,264,541,207,758,
931,566,094,504,042,721,556,474,505,582,024,544,606,999,327,303,258,238,178,
464,265,319,435,706,318,215,953,673,715,507,856,166,734,457,233,447,418,785,
336,874,194,055,464,640,574,617,213,270,989,517,598,269,058,480,845,649,828,
115,276,638,715,652,956,384,475,499,629,999,085,044,800,619,654,582,946,945,
506,838,184,717,159,814,684,698,142,363,021,934,081,841,900,557,612,534,635,
475,809,074,207,099,983,148,376,558,370,608,271,536,868,748,033,245,614,313,
667,990,481,997,857,426,486,323,019,237,545,120,696,329,545,371,942,849,470,
613,063,561,166,168,897,574,111,878,100,424,846,135,486,209,656,280,783,268,
511,178,964,028,539,083,676,688,128,719,804,228,005,635,778,683,410,703,087,
719,304,517,921,587,149,028,018,223,028,131,807,630,211,649,081,786,941,134,
204,883,024,973,497,424,856,966,309,658,233,313,723,596,861,901,013,475,929,
076,686,937,702,571,783,539,185,242,154,506,432,020,755,768,188,359,655,658,
096,342,237,940,646,147,142,193,823,209,782,059,406,578,399,126,697,536,128,
965,036,968,772,277,308,871,694,735,163,892,523,921,192,742,678,174,542,274,
028,503,827,165,059,852,796,798,540,350,234,030,272,516,870,795,412,278,359,
958,484,745,571,322,284,594,443,599,068,493,430,297,157,385,767,274,481,616,
638,180,326,624,657,581,666,838,254,862,558,181,220,866,870,283,869,738,998,
215,853,543,572,926,406,960,890,644,589,532,042,962,545,118,549,925,402,254,
538,898,699,749,434,208,684,140,884,279,928,803,259,338,142,083,076,008,881,
661,218,313,089,402,658,617,489,904,866,456,911,668,285,895,957,251,596,978,
410,191,744,153,988,202,482,616,263,198,307,619,028,797,293,142,807,560,355,
531,365,980,149,977,527,065,871,563,483,794,559,980,759,497,384,788,135,084,
985,054,374,489,138,657,465,903,574,050,666,894,560,850,076,426,339,080,487,
485,223,431,820,596,716,087,446,467,273,018,880,540,753,104,401,058,435,178,
017,606,396,511,251,561,520,352,796,175,090,060,280,567,892,506,243,939,676,
618,496,711,694,610,691,934,297,087,348,195,541,860,145,692,629,736,514,435,
531,285,998,232,673,800,607,649,094,149,593,119,569,539,448,462,883,628,464,
265,521,897,181,699,854,697,405,765,607,355,644,362,824,405,804,880,773,541,
482,184,151,624,841,853,361,315,393,824,878,171,387,507,930,540,259,960,178,
739,947,016,448,658,125,831,836,978,501,523,927,172,487,483,312,565,825,460,
000,980,436,030,442,988,718,117,216,083,524,055,261,081,053,542,597,951,122,
939,480,980,068,356,217,842,590,505,798,750,594,849,108,823,825,685,308,997,
515,944,020,500,501,973,478,227,358,700,322,637,217,120,535,134,804,539,140,
121,767,152,651,682,103,614,896,109,132,756,138,268,107,344,622,967,677,029,
180,711,783,875,363,325,673,186,903,270,936,542,654,400,239,900,514,514,757,
897,323,605,240,608,098,334,120,103,127,605,184,432,939,655,714,651,471,560,
359,554,624,717,360,440,483,392,507,948,821,952,788,031,426,650,021,226,382,
328,070,240,945,651,912,342,571,632,229,000,273,395,097,892,530,948,842,122,
974,152,827,092,570,599,896,677,035,819,889,268,204,308,304,335,484,368,280,
886,755,691,166,080,152,007,126,113,416,323,150,944,640,895,638,906,614,493,
173,715,344,515,945,286,484,705,304,997,510,188,975,893,405,382,358,197,570,
450,755,932,220,029,823,933,883,950,506,638,113,208,271,919,554,897,430,244,
512,788,014,433,677,082,314,456,145,595,318,384,039,091,890,280,536,291,898,
723,961,127,381,141,804,240,542,647,366,733,231,995,753,982,215,732,517,024,
584,789,241,269,664,469,154,877,970,192,291,682,322,531,821,727,393,281,860,
975,502,896,058,555,053,771,974,155,670,688,178,698,911,041,849,885,962,301,
903,759,593,073,685,524,633,107,865,588,767,471,091,319,066,075,035,866,660,
471,388,794,766,412,746,827,091,664,019,594,640,167,735,509,478,656,015,964,
112,024,824,854,440,319,288,640,004,590,327,825,245,001,081,979,248,221,495,
525,953,155,182,249,498,871,994,410,612,457,519,613,428,543,257,531,198,526,
214,410,000,391,578,498,780,761,720,134,035,766,962,482,869,492,389,387,981,
299,995,103,080,041,915,281,368,495,476,233,537,663,224,030,849,088,621,644,
485,380,952,365,284,609,891,269,681,656,956,229,940,353,841,461,361,755,053,
090,622,468,429,440,698,385,474,536,384,982,746,287,610,120,155,954,677,916,
724,283,900,420,726,408,691,016,231,701,715,070,131,834,181,360,915,064,842,
019,536,752,279,100,897,682,997,402,215,421,263,141,004,207,846,031,250,934,
576,962,080,935,606,857,392,735,316,332,374,804,215,894,724,583,429,498,028,
336,052,108,802,054,156,127,501,239,459,326,941,365,703,146,713,285,204,624,
430,989,786,434,186,223,613,178,681,727,462,653,629,484,031,248,825,297,374,
035,583,683,336,073,168,773,981,484,397,379,099,538,899,835,715,232,112,937,
834,391,200,479,851,063,188,226,992,314,843,699,563,266,874,338,571,983,550,
804,260,974,226,382,587,660,103,807,721,965,773,863,967,583,855,778,412,660,
245,593,890,671,672,611,269,709,355,923,084,488,761,892,660,548,426,791,440,
751,517,154,227,287,585,611,819,810,527,497,625,299,740,560,307,118,515,517,
663,132,547,505,253,662,844,919,352,450,320,074,895,867,642,722,424,308,511,
210,425,736,365,052,864,376,156,063,812,668,574,431,216,155,096,028,748,343,
873,081,782,306,361,809,038,462,160,149,897,774,446,655,352,940,664,375,966,
227,767,053,636,052,426,123,000,684,156,060,180,931,756,223,240,934,731,626,
149,208,596,517,888,083,383,087,727,237,199,541,595,499,852,211,906,687,221,
997,071,331,531,886,643,285,195,962,762,099,108,936,556,643,127,982,987,738,
778,026,662,209,924,491,754,409,811,606,240,359,050,774,183,367,164,888,379,
590,413,673,286,646,037,637,854,738,698,073,227,817,371,499,709,872,583,970,
694,746,738,596,508,190,364,733,141,701,427,698,416,273,729,688,210,817,061,
211,837,670,673,923,658,506,915,256,246,686,409,838,092,960,713,244,981,157,
336,112,920,498,506,109,188,030,886,053,187,770,546,014,237,296,176,428,320,
179,503,930,947,271,348,710,340,351,133,534,907,554,527,437,605,104,943,816,
699,889,078,470,282,047,268,066,405,591,074,015,072,675,291,410,350,598,306,
301,066,447,553,579,735,405,662,180,993,363,047,168,238,750,625,622,762,864,
299,569,174,223,237,700,928,067,465,883,149,244,308,535,211,177,579,200,000,
925,632,777,653,132,319,184,019,947,521,319,017,395,089,070,408,029,894,943,
035,366,127,970,444,215,300,127,557,923,387,095,090,944,017,525,139,135,095,
535,620,771,613,689,493,576,727,002,498,207,201,265,924,963,560,604,911,757,
361,408,715,350,623,389,759,273,648,333,322,913,946,156,217,392,104,710,065,
364,452,126,092,377,109,930,402,421,492,610,012,628,103,296,615,319,190,587,
442,776,780,698,363,902,496,798,621,076,734,055,252,676,947,993,336,955,147,
149,646,430,714,571,700,258,564,135,556,807,011,853,440,725,624,092,930,159,
808,825,744,476,255,904,879,123,975,858,907,380,951,372,805,626,942,996,390,
494,866,175,585,041,535,019,469,824,393,424,140,333,596,475,936,701,292,970,
226,280,490,100,100,326,689,110,564,077,403,078,248,543,453,048,141,893,514,
828,220,873,639,793,402,851,029,109,261,035,302,132,812,532,039,183,859,190,
360,158,775,139,657,999,491,064,263,059,429,573,052,820,045,312,819,865,290,
816,462,611,257,029,592,118,160,108,326,897,371,772,592,048,653,733,442,440,
585,528,217,979,230,069,393,479,664,492,769,943,082,010,267,443,143,839,294,
460,975,796,922,048,368,969,076,400,531,010,071,654,524,815,966,189,613,899,
281,684,037,943,877,665,219,681,438,889,026,831,060,135,675,863,915,706,049,
453,018,998,265,179,688,617,356,537,208,226,725,606,628,939,976,233,516,634,
406,311,289,904,113,332,473,048,630,977,359,803,536,686,775,129,616,389,086,
545,510,530,010,854,320,717,726,405,244,554,694,868,346,566,308,106,029,299,
386,942,065,777,041,014,483,853,755,280,372,738,225,772,059,531,214,516,627,
476,076,575,377,641,774,275,033,150,606,558,019,047,911,816,590,753,291,160,
362,751,302,001,431,107,554,959,751,185,655,466,194,530,158,977,862,308,918,
455,213,247,184,836,983,115,973,375,894,920,108,845,018,086,754,820,493,107,
928,800,299,207,863,457,640,620,430,688,328,003,295,700,893,277,878,201,193,
853,169,930,326,914,001,268,653,097,939,065,863,988,340,200,343,388,846,623,
749,585,627,261,677,390,230,009,408,200,588,620,884,522,392,754,561,560,458,
142,188,485,432,125,835,553,163,305,725,922,071,859,721,052,485,408,436,054,
924,701,654,824,981,121,793,385,901,406,397,225,572,938,703,852,427,910,244,
129,541,217,162,023,147,217,119,627,450,183,950,712,688,720,084,024,991,471,
712,191,323,686,440,610,419,868,863,399,685,425,499,414,944,718,991,045,877,
459,841,120,009,179,204,972,963,777,578,327,076,546,988,907,150,788,672,103,
723,147,664,806,885,225,416,469,367,672,758,803,457,819,489,547,420,669,486,
472,362,904,943,628,921,502,452,223,718,157,457,935,884,665,372,213,730,721,
539,973,791,968,111,144,586,611,062,685,903,937,520,177,708,217,047,890,819,
937,880,062,099,729,935,681,253,562,497,919,475,405,007,171,890,213,664,618,
709,217,225,299,140,652,058,665,562,543,575,725,395,438,232,110,105,597,909,
832,003,497,027,938,343,115,088,899,036,696,369,088,569,161,324,495,991,257,
203,203,124,146,967,333,560,233,341,475,491,316,561,191,860,554,153,705,752,
436,397,287,687,598,998,427,384,431,816,519,596,610,931,588,316,862,025,439,
778,576,503,694,369,781,614,211,409,946,117,236,756,662,893,075,428,769,105,
766,561,109,055,870,866,194,129,385,953,680,168,047,033,382,063,475,223,047,
945,155,617,877,369,049,819,700,303,321,304,624,173,823,642,388,309,739,801,
209,611,414,359,097,014,036,662,781,079,935,896,884,439,864,563,379,161,120,
885,518,940,509,815,272,387,357,976,523,688,507,556,227,068,982,542,537,252,
047,721,322,146,211,379,647,847,183,206,597,703,096,113,488,405,775,925,094,
376,828,333,353,559,271,926,930,859,000,443,412,538,255,985,057,323,215,529,
861,675,458,680,953,047,307,637,509,560,056,761,085,202,289,423,611,751,793,
068,672,357,837,344,434,368,737,873,536,563,712,634,216,379,561,957,262,271,
891,170,597,058,779,578,303,735,323,353,466,210,484,261,147,926,363,273,079,
739,332,773,954,989,326,280,360,504,899,534,750,011,948,665,833,837,528,828,
598,456,061,186,640,865,881,334,890,618,991,354,236,446,648,755,395,100,039,
982,517,597,585,885,458,880,620,050,193,835,132,008,417,812,802,104,958,865,
289,172,230,326,354,960,295,196,102,967,118,041,418,275,777,506,176,966,723,
206,365,380,017,046,357,648,032,098,498,716,973,117,323,881,593,554,073,550,
612,809,840,373,004,517,027,328,157,263,991,960,236,645,732,523,974,511,130,
850,087,267,133,730,651,667,948,229,912,920,258,176,989,050,705,004,423,854,
734,645,017,744,390,961,696,241,120,180,935,547,330,567,462,166,406,547,291,
089,754,167,358,885,737,608,814,932,977,149,014,090,020,913,414,947,537,677,
032,910,506,219,130,446,593,699,433,963,658,834,565,358,554,917,917,933,530,
965,848,522,657,599,868,960,113,332,361,642,316,489,796,029,218,419,211,876,
820,627,466,327,410,477,237,990,135,516,563,129,060,769,643,842,564,004,123,
560,708,116,157,493,481,166,960,113,566,221,225,616,224,553,763,076,714,563,
774,316,823,204,584,920,916,462,387,343,140,916,791,961,018,150,966,074,336,
662,570,318,457,784,366,981,238,674,414,083,599,136,722,703,810,828,722,877,
997,352,663,787,833,333,394,169,901,051,192,441,027,988,129,465,006,344,187,
788,278,135,593,984,657,658,615,999,608,903,273,841,048,232,528,355,434,002,
614,265,366,935,894,380,435,787,066,408,577,250,762,096,572,758,318,703,269,
566,518,860,669,148,209,614,518,721,747,846,785,663,983,577,393,609,802,018,
907,416,016,325,637,816,030,009,169,213,899,362,922,155,226,609,404,740,839,
022,532,464,032,984,024,206,919,939,573,110,945,014,426,191,260,610,406,462,
730,961,402,485,390,370,214,829,300,987,388,268,630,726,978,720,263,012,558,
834,557,323,447,299,784,987,425,914,344,609,290,047,289,872,388,444,570,884,
198,651,204,316,312,236,297,057,507,002,194,094,934,913,679,102,836,364,711,
943,747,097,478,299,792,797,774,788,328,321,081,155,381,658,908,599,411,966,
065,153,376,675,175,325,639,517,531,252,757,645,669,302,332,149,471,709,621,
352,061,436,878,048,824,915,354,543,869,387,381,108,006,357,895,667,370,368,
266,046,783,502,864,514,296,545,421,151,461,129,656,269,580,442,147,906,367,
851,544,213,243,066,548,208,814,666,831,787,017,469,719,206,892,436,101,466,
293,950,569,768,690,359,754,446,757,153,176,218,836,191,007,518,822,903,194,
389,964,642,827,220,901,545,610,898,852,310,927,214,818,019,420,328,533,158,
840,051,654,788,928,921,527,527,010,198,216,294,225,951,932,739,927,807,830,
394,914,706,947,112,868,734,367,990,044,781,187,587,488,452,161,177,764,729,
315,504,452,914,615,431,466,668,449,584,970,872,308,218,002,080,706,497,084,
621,641,517,750,098,755,498,210,839,623,141,772,773,434,199,454,294,993,298,
096,307,151,162,563,637,404,251,176,590,051,730,799,895,052,252,956,919,452,
438,687,788,152,675,776,547,463,070,366,651,666,816,539,608,946,915,520,575,
695,309,667,723,021,160,955,019,246,859,168,509,520,567,511,042,479,990,958,
365,496,128,341,660,003,093,385,249,457,115,278,642,135,377,258,171,716,352,
585,239,910,206,868,672,395,664,244,948,794,725,979,191,733,120,928,196,392,
755,216,446,961,116,921,033,446,455,919,835,382,567,283,179,355,077,127,110,
670,411,124,363,528,413,470,585,958,098,961,052,253,351,056,586,883,479,539,
395,742,597,009,820,845,774,981,370,027,832,121,528,595,979,528,985,075,377,
515,100,489,711,202,716,706,697,481,843,881,936,193,999,897,414,866,897,892,
447,783,179,391,718,462,689,830,465,947,877,919,923,022,543,994,886,214,500,
882,635,632,299,324,257,586,535,060,632,295,807,574,850,577,943,062,023,349,
023,073,750,333,186,488,816,217,453,017,548,358,327,158,462,692,313,667,545,
886,182,115,922,814,642,582,854,697,572,567,856,825,922,781,166,495,810,416,
006,391,130,273,040,633,733,626,656,222,658,690,935,732,467,686,457,192,354,
163,417,741,922,513,491,980,733,285,887,951,369,689,005,959,340,079,555,755,
773,527,583,247,271,834,465,858,226,677,272,733,483,723,855,901,287,633,272,
234,143,906,266,697,164,055,732,726,490,782,232,402,185,900,922,827,356,643,
336,548,107,849,613,408,841,054,531,029,299,264,218,972,986,686,081,861,354,
239,011,069,327,075,720,651,940,010,753,451,805,900,747,909,417,340,796,514,
873,339,612,115,341,052,174,094,442,773,291,401,984,309,467,780,747,450,332,
133,268,463,499,935,990,212,399,870,379,074,018,039,413,600,355,978,649,304,
944,128,545,378,594,723,145,459,093,092,384,970,412,805,678,106,691,132,517,
096,630,384,420,410,319,403,587,003,775,856,867,327,033,708,791,469,728,176,
041,866,203,219,335,993,961,877,253,095,930,408,906,539,640,044,755,099,375,
774,430,809,640,524,702,422,943,734,686,117,551,571,277,909,879,711,899,880,
316,314,556,380,215,393,712,611,709,543,161,169,778,469,090,618,161,404,229,
374,206,323,981,127,441,902,347,279,987,759,327,054,667,338,280,652,158,266,
420,911,487,233,248,775,146,163,663,050,866,291,440,663,119,599,782,753,112,
061,590,965,774,956,664,271,540,069,962,232,249,032,677,572,750,091,235,442,
264,403,787,094,802,082,850,254,145,073,538,010,574,712,474,276,860,833,397,
171,417,943,681,522,516,422,680,145,134,099,486,248,393,276,371,844,913,958,
262,340,233,811,871,778,291,452,611,087,223,696,440,302,343,360,026,494,885,
146,718,814,154,074,902,262,092,651,372,633,385,952,598,438,591,698,722,679,
970,952,349,093,856,502,857,463,381,713,076,249,836,654,842,101,038,394,305,
507,447,075,490,599,225,834,534,573,108,245,369,027,638,415,980,746,758,131,
277,640,926,272,566,812,599,030,898,014,900,857,617,698,055,543,402,423,351,
066,838,044,263,180,618,972,477,702,770,813,735,745,482,494,013,716,295,948,
009,342,254,687,141,806,197,259,316,197,458,576,238,701,373,688,896,903,663,
515,676,376,599,443,246,084,681,297,009,212,621,872,570,612,373,856,560,352,
249,991,441,625,726,738,974,410,646,048,489,075,065,046,897,490,927,032,947,
230,968,002,180,220,385,729,813,976,016,150,491,232,410,947,023,682,677,993,
110,194,155,848,721,960,440,931,257,993,216,572,152,654,296,548,348,750,495,
568,902,828,091,190,256,715,191,582,372,422,168,086,664,762,023,387,487,985,
282,001,624,733,979,422,814,302,443,786,238,580,057,303,899,591,448,768,471,
091,663,685,476,178,022,178,125,056,589,689,818,618,918,612,399,238,275,664,
857,472,053,517,319,629,238,377,082,586,108,221,055,673,856,618,059,032,741,
557,131,304,289,031,730,885,105,050,250,210,080,588,148,237,515,276,905,652,
804,196,388,913,468,105,151,725,981,941,229,248,776,112,978,851,818,100,207,
572,254,800,233,491,951,633,410,663,211,179,238,106,079,048,279,982,714,602,
879,578,433,142,267,373,219,049,458,536,500,813,924,392,665,933,785,632,167,
706,592,448,754,218,103,602,514,388,469,292,047,325,233,570,340,154,091,058,
930,138,329,706,322,793,574,955,153,836,888,162,142,578,575,160,577,180,869,
165,495,397,871,114,217,276,886,529,495,914,354,962,832,196,281,430,306,054,
549,212,009,436,335,882,365,244,858,487,949,127,298,030,451,328,174,188,361,
624,809,581,770,862,397,630,575,576,715,428,689,299,515,212,677,929,789,675,
526,320,846,117,292,980,928,769,663,829,279,439,679,741,483,934,798,051,232,
494,878,827,783,904,443,838,862,237,600,812,993,508,227,827,932,311,061,224,
914,626,629,378,653,571,360,226,960,069,431,227,870,125,432,961,296,988,985,
723,586,018,547,165,364,245,862,684,930,396,858,967,365,502,563,123,823,077,
748,502,169,947,239,072,232,217,989,691,776,844,427,623,433,101,082,946,576,
926,530,311,359,555,041,162,509,609,409,353,989,966,120,872,008,300,035,347,
080,358,375,754,648,447,363,867,585,659,803,617,083,427,138,483,550,612,108,
355,554,150,830,340,665,337,653,787,803,485,319,537,550,765,943,698,737,740,
189,077,763,399,658,997,671,366,265,314,186,259,329,275,959,257,259,907,540,
260,051,422,911,830,625,832,085,119,013,008,288,520,165,229,620,824,843,202,
929,187,386,883,222,437,241,534,797,351,509,644,799,859,195,591,619,853,678,
843,589,617,978,828,687,747,724,877,420,257,289,774,624,715,968,467,645,853,
330,035,920,281,584,182,520,982,659,368,013,584,199,062,670,338,549,951,456,
832,921,039,159,019,504,879,942,141,704,939,613,882,551,118,612,274,228,846,
018,220,920,294,991,942,418,913,158,245,421,214,919,912,669,593,899,964,926,
531,485,727,897,451,461,861,086,101,884,332,539,226,793,167,666,484,815,544,
399,270,710,286,426,468,539,960,332,183,717,487,525,986,503,134,387,904,722,
993,844,513,200,999,153,426,485,719,487,139,147,810,977,304,627,795,745,714,
924,747,195,490,468,927,857,820,513,615,177,094,383,417,506,140,943,696,526,
985,128,559,670,524,977,785,040,332,342,780,622,333,290,564,735,062,150,408,
690,372,589,657,128,800,521,181,325,944,213,865,349,935,098,284,202,467,053,
666,103,839,281,162,544,300,066,326,802,427,456,378,697,944,324,170,359,552,
008,877,054,997,780,551,583,592,588,893,942,813,054,253,331,473,341,826,631,
507,568,406,065,494,268,809,758,232,199,614,850,364,514,182,268,706,895,993,
964,341,699,797,920,444,478,492,767,115,508,520,246,011,187,106,629,988,982,
104,117,241,657,099,497,948,318,586,432,644,179,013,605,726,024,114,999,321,
148,598,394,183,314,963,702,383,826,522,917,642,825,479,233,968,286,264,592,
485,448,135,684,714,806,269,334,457,094,867,167,377,565,298,303,955,923,013,
597,911,216,651,898,960,894,840,121,454,216,714,328,610,431,262,230,304,987,
575,622,579,455,675,190,358,736,355,179,586,784,235,372,873,934,586,030,996,
907,029,323,714,346,503,903,390,781,977,716,013,726,050,868,027,736,225,429,
290,973,253,311,485,042,933,967,476,601,412,076,409,131,274,659,029,601,179,
212,722,921,218,119,165,373,524,385,172,253,223,392,009,573,952,744,128,193,
580,805,320,083,772,725,157,532,801,221,989,671,581,593,350,541,956,313,022,
210,483,536,506,547,245,894,946,285,392,538,432,552,153,769,357,773,203,135,
167,400,423,975,284,244,070,219,434,577,833,429,278,716,388,504,162,995,096,
226,723,442,426,655,519,084,836,470,987,625,106,874,393,456,242,421,688,254,
988,099,217,651,831,979,311,833,326,797,259,937,479,947,022,175,601,873,703,
806,428,169,897,391,722,255,474,508,719,110,708,649,454,457,862,388,147,695,
832,441,075,320,257,063,568,963,019,752,482,717,423,599,744,054,090,936,337,
294,998,452,624,928,216,871,208,071,469,845,355,174,404,236,549,454,699,804,
722,642,047,509,645,831,251,240,772,712,005,389,836,804,757,969,662,466,004,
687,714,979,275,751,846,626,975,492,657,206,586,891,606,412,567,717,908,510,
430,962,071,410,081,509,907,381,178,976,907,987,769,562,641,146,519,963,887,
976,081,625,579,623,759,089,644,206,950,606,346,565,325,826,590,366,679,659,
030,675,837,574,713,603,011,227,287,739,256,420,424,618,027,419,603,462,118,
812,424,257,896,986,836,816,243,598,329,660,522,023,060,400,231,306,831,203,
906,588,919,121,198,542,035,823,836,265,475,410,038,014,673,794,090,118,239,
486,046,689,730,860,629,605,349,730,590,725,650,804,336,952,641,599,590,396,
715,371,755,992,495,893,789,537,302,556,508,488,645,661,566,927,320,427,446,
218,191,948,810,188,436,226,490,387,417,508,874,848,619,632,821,808,664,925,
762,404,364,566,700,010,391,033,531,810,897,743,210,299,734,715,746,373,459,
510,270,514,332,000,567,464,977,386,238,931,364,489,349,559,967,632,108,364,
190,499,485,157,656,278,165,456,950,862,661,886,373,353,093,840,791,692,900,
744,949,565,410,682,864,467,214,510,700,127,621,460,643,622,863,140,070,859,
196,836,315,630,310,044,537,631,816,495,662,662,329,906,466,064,359,688,333,
485,618,393,831,019,137,160,044,243,532,834,397,610,722,162,436,774,133,464,
345,039,260,077,231,851,225,160,012,704,467,906,081,121,370,912,385,071,508,
763,045,734,795,784,760,457,490,232,472,497,535,078,276,482,581,514,426,252,
945,555,179,501,426,203,335,420,116,104,263,157,736,933,025,382,579,027,581,
208,811,684,480,851,869,336,951,786,865,599,892,497,157,628,282,752,106,938,
773,768,816,435,458,341,924,531,986,714,179,337,351,573,492,897,041,716,334,
850,095,377,638,429,872,922,719,604,730,054,940,100,651,691,567,844,522,258,
924,675,169,069,710,644,687,580,923,857,579,037,497,268,965,396,428,734,183,
614,213,466,798,812,144,126,150,514,890,744,546,540,440,859,812,587,199,574,
900,128,760,887,052,975,892,106,766,405,291,277,816,252,048,396,121,271,752,
329,298,791,659,265,219,012,575,807,115,495,766,082,290,909,872,600,116,212,
928,703,562,465,623,206,545,621,428,023,844,952,680,818,352,026,266,059,561,
776,028,222,032,148,869,605,124,922,670,808,365,061,169,987,679,134,486,868,
657,906,326,002,374,076,898,547,276,405,625,091,016,671,294,888,064,147,616,
424,659,714,487,780,341,650,553,152,396,944,034,452,649,234,349,416,339,118,
675,119,098,747,828,647,584,677,807,897,225,675,532,618,644,749,893,524,081,
334,262,919,161,043,367,858,697,910,681,555,216,716,586,996,094,307,168,796,
741,755,844,320,640,478,103,184,591,785,881,485,098,258,390,475,463,829,177,
391,137,162,930,083,879,295,204,089,455,079,808,688,531,672,646,348,160,266,
005,096,996,808,362,531,129,321,751,990,666,679,676,340,296,576,727,473,512,
475,119,449,616,093,123,181,550,271,894,087,658,171,690,793,569,671,069,391,
311,557,700,054,109,627,000,199,037,555,725,864,091,174,226,498,352,570,495,
686,574,531,809,268,206,028,726,089,358,803,160,475,269,055,944,229,285,299,
704,128,594,079,816,180,672,608,282,161,774,481,978,148,396,354,942,986,130,
281,740,180,306,895,958,533,706,983,373,110,515,443,464,265,940,029,611,758,
647,625,023,299,865,497,612,065,422,342,223,761,139,451,383,834,557,451,572,
035,879,779,164,567,855,476,893,872,059,004,519,603,752,876,173,165,699,709,
373,783,249,908,283,060,533,163,250,678,774,326,979,083,408,277,108,803,845,
172,708,715,369,550,838,673,601,165,009,222,115,623,126,303,104,119,477,697,
313,015,664,220,073,136,726,691,296,713,258,809,804,912,736,960,992,273,965,
328,182,933,735,044,296,514,082,912,122,501,391,939,411,045,990,686,580,990,
173,652,500,544,234,915,339,299,540,930,919,555,084,353,082,991,039,259,623,
745,851,323,663,046,552,021,493,163,706,132,672,009,074,186,164,756,822,288,
465,698,763,734,557,150,100,631,723,543,884,010,779,662,395,221,728,854,763,
106,401,361,089,511,408,458,697,137,924,601,803,870,380,002,363,112,146,710,
542,527,268,549,058,244,999,352,306,467,770,912,168,349,618,921,045,210,011,
583,065,519,749,639,138,707,371,745,153,750,953,052,712,655,774,646,185,603,
624,746,111,769,106,351,470,140,817,161,126,876,329,137,899,137,188,089,203,
165,792,360,397,445,409,054,892,155,039,993,298,382,960,588,565,588,067,312,
701,897,794,497,179,560,822,923,075,533,673,304,541,007,471,621,438,958,495,
579,090,084,061,597,855,891,633,767,125,287,422,094,004,856,167,150,347,468,
012,791,768,513,279,825,375,976,507,985,946,724,736,339,411,094,891,720,509,
359,460,233,335,790,261,498,328,149,415,541,566,549,655,116,036,721,983,226,
640,593,993,596,544,412,482,018,690,513,866,428,026,303,278,334,403,798,547,
100,604,509,550,034,512,256,185,969,890,377,362,219,767,474,505,539,181,500,
242,701,049,214,631,531,871,026,076,753,326,917,196,330,577,804,800,983,074,
822,216,343,323,960,853,555,596,160,676,328,966,834,037,200,259,925,535,814,
636,542,872,546,032,457,521,104,944,958,544,550,689,541,045,406,510,975,366,
394,539,798,389,882,623,342,443,884,801,336,861,773,265,398,639,913,394,254,
354,401,864,088,853,817,119,537,608,608,573,961,618,567,180,536,348,270,636,
094,416,463,912,921,129,235,911,670,597,114,943,009,208,132,890,901,785,370,
845,224,847,793,459,913,017,457,936,107,079,656,145,435,274,083,204,655,208,
239,212,948,874,090,962,410,841,706,297,367,524,590,644,524,525,525,714,351,
193,263,073,590,197,836,229,948,670,722,199,731,216,662,361,014,819,461,031,
431,524,131,978,807,714,932,280,719,438,351,280,213,327,910,456,388,804,312,
407,994,293,111,819,867,665,069,996,011,406,524,940,191,722,416,817,446,940,
943,948,405,026,419,116,981,990,936,186,031,677,975,962,982,580,494,619,650,
126,110,743,319,538,009,783,110,488,611,975,223,733,106,831,654,916,118,579,
799,462,743,054,003,587,503,670,912,048,670,519,969,224,104,304,604,339,553,
009,560,231,290,880,190,975,083,418,103,100,403,067,052,827,390,433,002,547,
406,430,541,794,557,402,243,555,321,217,087,899,472,548,892,854,970,116,347,
714,797,023,217,875,170,851,180,056,001,822,856,614,876,588,448,610,834,351,
183,918,852,810,665,118,871,729,922,603,749,447,339,436,982,105,380,299,659,
955,405,370,270,043,728,440,126,825,954,537,478,612,591,631,027,902,641,261,
922,784,459,895,095,324,439,537,669,577,994,400,433,257,326,907,335,720,264,
262,987,376,920,531,561,905,021,762,709,916,413,422,985,566,087,938,566,084,
918,808,027,344,052,633,097,853,886,785,877,525,320,232,113,444,469,859,163,
257,703,387,475,427,455,895,615,804,635,305,102,880,838,563,902,945,880,459,
154,645,485,908,220,162,959,420,011,526,222,331,311,345,617,554,343,841,918,
464,317,400,916,949,627,772,626,751,077,221,292,464,422,886,404,935,626,608,
414,319,367,676,117,524,285,419,623,761,413,913,262,851,038,134,474,003,728,
196,121,651,780,238,313,961,782,853,087,375,987,738,144,832,938,533,122,893,
844,009,013,711,207,272,959,904,122,913,581,207,255,860,683,722,840,234,922,
309,100,467,008,083,252,737,240,054,354,153,834,598,104,733,651,298,223,526,
907,439,269,001,103,704,634,254,436,603,502,894,482,289,484,937,240,384,891,
040,292,984,641,484,195,844,219,672,409,943,461,980,043,741,353,393,138,453,
105,070,930,707,861,665,545,813,824,064,074,352,498,253,578,322,243,767,683,
016,084,924,415,239,676,868,560,199,405,379,153,749,411,725,158,271,083,987,
657,346,095,036,016,719,101,220,688,897,170,748,703,857,595,081,107,845,825,
769,453,939,673,209,939,994,908,422,481,538,700,030,810,088,910,560,863,400,
782,778,604,225,256,178,867,752,107,629,727,450,016,255,447,041,435,051,916,
624,968,538,724,409,277,215,426,121,852,207,972,800,330,747,265,752,378,645,
436,945,257,700,733,787,459,277,765,665,214,693,808,509,237,856,249,285,639,
613,264,439,445,776,874,713,213,774,271,774,523,498,891,497,403,488,186,178,
995,185,632,204,269,981,054,929,567,141,023,387,225,636,281,988,076,094,104,
006,434,499,957,065,195,613,964,325,364,595,134,206,105,370,098,551,612,028,
047,105,943,544,527,057,343,587,366,661,780,579,341,854,368,551,365,965,797,
403,102,257,375,565,379,063,899,159,437,588,474,277,697,651,074,900,185,083,
134,835,239,067,191,343,817,634,304,830,208,960,284,470,308,153,837,048,622,
203,039,589,243,666,138,883,909,732,634,711,924,890,718,839,768,499,973,924,
608,631,410,516,119,037,960,025,150,103,780,011,600,045,803,559,047,608,468,
203,207,800,655,771,085,809,522,986,072,359,014,917,192,277,061,727,476,619,
511,526,339,328,771,726,378,817,541,694,168,454,116,335,654,533,480,905,830,
437,112,638,724,892,471,222,755,263,914,286,681,814,625,179,891,300,540,767,
047,071,164,760,455,073,951,912,989,348,095,887,773,878,455,672,951,213,585,
551,108,828,143,903,273,451,619,070,278,392,484,517,138,212,824,851,224,060,
094,848,866,052,480,564,759,501,171,991,753,675,552,051,061,585,816,361,787,
774,210,856,178,945,227,281,312,989,569,008,741,306,357,806,121,152,425,632,
992,366,447,783,512,509,029,527,869,112,485,493,164,778,739,670,050,481,541,
140,975,460,605,493,293,648,736,826,457,605,518,306,150,103,124,350,591,290,
183,846,624,386,976,791,165,548,893,233,377,425,103,159,189,809,670,959,308,
776,562,865,978,226,419,159,990,739,378,737,459,036,301,990,111,818,594,078,
469,876,976,024,572,654,486,165,471,186,485,911,222,637,996,140,954,617,522,
510,167,192,652,938,765,066,284,718,846,510,138,643,098,488,979,463,593,200,
776,797,262,684,299,617,604,269,226,329,519,552,416,306,988,796,485,239,031,
634,143,755,174,038,333,262,221,105,942,415,615,075,824,947,707,300,548,781,
550,186,343,686,051,053,546,441,201,028,713,259,455,918,332,268,165,558,068,
926,363,790,515,660,183,275,374,527,374,833,602,781,006,705,176,799,697,337,
394,751,385,637,161,436,655,116,602,934,536,070,230,570,944,202,412,194,199,
405,977,083,129,769,226,105,431,385,363,398,233,400,984,151,202,025,192,065,
917,800,870,161,364,115,898,251,784,211,345,274,887,132,895,381,574,588,065,
834,847,484,497,977,516,587,687,984,318,945,977,360,432,446,231,864,988,747,
752,938,465,271,526,186,816,675,882,704,025,423,907,455,601,375,337,522,377,
611,939,810,166,421,223,701,063,067,477,081,928,564,151,781,323,454,742,920,
258,334,454,403,070,081,365,932,244,686,532,142,203,531,065,829,337,785,290,
529,923,096,380,288,446,682,465,408,560,738,125,541,753,152,403,719,361,262,
307,244,412,804,570,219,319,380,222,756,652,311,082,616,315,434,604,723,895,
672,176,633,584,065,588,905,947,743,651,821,561,510,868,043,370,720,613,641,
355,319,546,611,135,678,653,578,557,852,999,293,947,286,075,430,486,266,273,
788,107,883,928,849,484,489,420,332,251,671,757,817,446,999,759,402,925,149,
851,107,045,936,556,061,825,379,294,943,920,695,024,850,988,493,973,227,373,
137,731,086,470,398,388,405,466,117,202,806,368,608,855,509,997,325,425,933,
127,853,941,231,259,895,314,870,235,232,936,342,153,713,547,671,188,468,176,
695,776,295,709,305,545,496,121,334,005,759,450,909,101,713,141,231,825,089,
283,119,334,246,829,259,969,449,674,359,011,934,230,725,381,459,797,583,855,
665,728,970,261,388,781,425,047,493,383,432,629,915,106,163,120,359,498,100,
735,461,017,368,426,931,833,597,361,793,886,840,582,382,725,589,467,383,020,
179,122,040,598,031,634,722,175,657,220,688,495,830,330,771,278,813,142,289,
169,713,326,624,448,893,951,600,560,457,825,799,609,030,702,073,285,179,220,
961,507,299,800,270,235,152,152,090,290,404,026,070,900,085,252,899,697,017,
099,149,266,977,989,648,085,944,246,027,693,678,930,382,770,930,054,441,285,
877,957,756,148,256,231,570,923,941,394,705,276,888,614,058,192,427,845,977,
913,735,037,672,188,124,984,724,894,930,809,236,611,674,341,837,043,716,887,
593,563,897,341,451,809,030,825,359,890,781,443,971,087,175,010,925,869,138,
662,188,242,102,175,609,983,634,466,893,899,053,785,287,280,416,030,253,900,
299,897,416,333,936,946,220,181,138,947,000,274,873,870,440,868,934,796,283,
862,010,698,198,991,207,788,562,740,295,008,516,998,806,516,272,624,702,570,
462,722,398,026,756,073,782,920,277,289,905,459,918,077,744,520,443,340,606,
057,253,530,665,986,034,742,840,411,404,506,811,718,316,873,378,670,375,797,
489,217,156,381,132,909,853,744,086,099,294,118,158,447,463,467,340,719,007,
353,986,409,289,670,211,422,525,250,009,190,459,485,246,316,900,527,433,880,
214,820,526,308,260,411,651,830,109,484,851,634,338,627,295,953,888,984,608,
010,690,332,260,173,782,322,899,245,204,015,635,004,430,150,614,080,544,796,
603,191,386,327,123,760,891,543,668,426,019,664,001,313,746,787,558,803,749,
350,678,870,017,713,091,943,293,976,714,310,520,517,545,519,628,235,528,259,
531,683,896,512,918,061,075,652,593,757,157,838,352,455,196,393,476,360,088,
033,039,032,865,934,560,065,827,414,745,131,571,182,296,243,338,861,722,766,
101,408,564,603,676,188,714,468,822,577,043,914,630,376,128,755,387,073,253,
885,021,667,083,868,930,384,967,884,701,377,797,590,110,241,583,885,924,681,
215,318,230,304,712,817,200,074,308,956,926,352,766,666,132,009,335,794,830,
592,770,493,610,347,689,955,642,488,797,442,753,354,953,982,651,032,214,114,
194,721,828,601,283,968,649,795,820,441,274,026,493,254,563,047,792,331,925,
387,020,280,668,927,012,431,635,087,023,144,814,787,557,970,380,766,617,881,
810,585,016,004,932,605,034,319,789,690,818,974,797,340,823,696,966,224,129,
800,828,698,873,264,511,868,172,680,566,482,262,498,137,573,222,378,138,123,
916,934,770,722,232,248,936,596,727,143,027,771,474,846,504,823,651,125,513,
475,444,365,631,383,823,335,797,618,984,538,138,635,740,216,389,700,406,492,
537,574,881,452,363,805,658,165,849,619,526,388,667,848,089,360,246,054,215,
307,458,076,189,495,808,070,633,502,189,905,243,575,932,510,400,302,130,277,
967,252,247,572,616,308,490,580,347,119,070,710,714,729,475,286,666,313,133,
932,043,733,567,621,281,803,107,927,332,835,639,691,912,082,020,204,652,191,
928,162,057,711,938,304,222,320,455,744,224,306,117,721,147,782,932,988,160,
850,716,366,302,467,342,807,678,089,756,131,723,947,917,096,325,122,749,566,
037,727,715,312,450,584,362,920,794,444,379,300,376,360,407,720,582,061,296,
659,036,498,830,897,847,481,504,043,345,020,420,638,383,867,088,934,731,732,
169,073,311,539,013,870,135,850,817,845,936,011,763,160,387,491,525,171,470,
649,900,818,808,850,746,235,091,336,742,324,250,357,307,947,531,636,963,241,
853,358,277,465,593,934,177,531,307,164,470,789,398,067,519,795,356,684,366,
646,124,411,399,284,497,894,827,354,904,568,250,196,767,093,702,656,602,533,
597,352,727,802,748,610,627,663,543,620,061,162,771,436,071,081,784,674,263,
808,383,532,014,930,652,827,732,291,457,947,987,145,301,882,332,817,863,897,
177,136,073,450,866,911,611,405,258,281,929,987,899,031,958,991,314,717,072,
702,544,725,950,886,020,253,420,398,123,836,595,641,472,529,618,878,989,258,
324,836,179,242,110,353,869,872,640,635,693,225,239,579,820,003,417,728,222,
659,844,310,773,121,449,903,551,787,221,142,039,157,101,746,808,702,511,007,
406,251,264,128,901,365,831,452,519,957,122,666,523,094,424,417,981,901,873,
287,064,465,762,091,068,625,521,775,590,200,886,167,466,398,036,317,798,601,
904,726,125,170,173,322,543,856,672,592,783,426,981,436,328,682,830,936,728,
528,208,260,873,011,869,326,497,279,252,024,025,231,349,549,023,473,405,502,
285,008,175,240,401,042,463,011,065,188,872,994,237,924,404,660,588,652,934,
457,469,534,899,565,304,503,303,328,386,866,253,173,251,006,175,355,526,781,
652,572,493,578,399,879,844,828,446,160,526,900,168,148,001,174,890,372,791,
023,952,535,208,716,971,525,747,118,826,026,163,864,996,732,099,373,579,632,
359,282,613,014,847,727,213,191,380,066,294,533,484,523,163,738,441,468,939,
888,246,285,458,464,111,388,492,678,445,104,303,882,217,059,342,567,887,963,
184,622,253,937,320,696,725,219,701,390,413,489,258,060,403,393,001,328,107,
969,031,688,454,228,539,695,618,901,954,461,248,843,912,740,734,869,383,718,
049,074,477,055,331,104,008,939,700,010,294,665,274,042,588,665,741,326,725,
111,218,555,189,314,513,582,944,201,839,055,897,583,068,582,166,510,759,443,
212,174,968,274,564,291,758,651,121,439,412,019,281,268,227,278,028,676,808,
972,543,364,588,618,113,094,263,548,367,977,652,143,598,242,207,629,118,341,
594,588,023,545,553,155,103,842,084,082,005,044,897,030,614,607,330,361,603,
000,562,602,689,868,069,434,232,472,676,281,947,387,239,228,353,707,378,694,
799,362,026,078,341,403,993,537,647,155,088,221,406,371,289,388,274,381,063,
920,428,571,289,176,050,095,807,979,604,421,070,092,671,377,269,251,618,000,
437,339,473,779,397,704,800,692,190,442,682,209,757,476,454,837,097,050,130,
654,166,383,024,124,670,790,620,736,830,491,679,997,165,402,840,394,626,647,
164,498,105,464,595,608,414,915,402,048,019,873,553,149,989,807,320,326,000,
242,124,996,696,119,777,463,212,370,639,673,881,582,106,700,292,533,520,563,
146,156,248,311,949,166,603,594,341,536,023,592,198,316,204,404,671,978,854,
337,176,151,331,852,348,523,884,312,037,411,899,957,395,040,601,851,913,963,
904,444,446,056,568,082,573,991,698,007,277,403,379,064,841,142,935,793,980,
167,571,313,249,411,705,677,019,162,401,507,435,467,523,782,347,873,132,680,
658,184,883,466,376,990,413,504,646,023,528,346,316,826,555,954,311,154,944,
351,658,601,557,925,304,575,125,375,434,712,554,347,821,784,396,236,353,264,
840,629,092,024,368,529,963,465,931,837,048,263,986,891,877,804,613,800,763,
487,345,030,927,360,282,192,682,484,088,117,566,849,493,323,261,954,078,669,
645,540,995,466,912,662,578,313,238,296,085,699,075,317,434,838,242,031,465,
222,866,573,814,234,082,829,429,512,030,944,887,151,433,610,694,999,797,010,
603,844,739,884,875,665,964,907,276,556,140,611,153,332,321,727,474,567,328,
866,801,249,664,135,016,093,339,188,796,337,986,892,699,964,461,697,954,754,
933,616,949,514,834,940,887,122,764,546,306,255,540,559,535,233,820,688,044,
177,695,235,489,714,091,399,764,557,343,070,601,647,743,166,128,806,022,879,
897,116,273,818,824,491,468,954,036,997,912,553,199,278,331,375,491,696,372,
878,680,393,040,081,048,853,702,173,624,540,125,216,807,267,180,251,430,271,
666,675,283,526,616,205,665,932,871,204,860,542,437,992,730,789,920,130,283,
474,153,786,373,728,211,391,413,929,744,300,503,848,154,205,284,077,944,191,
042,791,700,255,297,510,253,247,350,138,231,472,095,736,392,721,692,125,820,
928,880,217,350,925,522,325,484,722,748,470,496,939,482,599,136,236,778,682,
497,461,057,674,451,804,648,785,954,030,386,528,419,109,104,275,588,623,221,
190,524,470,649,137,051,393,617,386,918,639,066,664,945,985,307,330,893,144,
389,691,974,345,922,069,633,050,856,860,597,645,076,490,142,943,121,161,357,
051,730,052,848,355,559,082,622,097,389,358,633,076,846,884,389,126,410,586,
188,422,182,125,067,363,911,612,266,699,299,200,178,740,755,390,396,291,910,
493,557,693,212,722,117,623,187,522,709,653,880,978,311,165,124,830,827,915,
119,120,834,765,166,768,540,632,719,378,031,391,163,992,268,737,548,031,167,
756,805,217,923,017,727,480,238,720,398,194,997,243,891,174,514,896,819,188,
285,373,593,653,045,250,763,515,061,656,515,466,095,688,867,128,967,604,824,
636,461,479,637,826,247,481,233,667,134,980,679,812,061,756,426,458,186,494,
362,219,289,088,542,560,689,749,965,127,948,167,308,663,484,547,176,063,919,
093,051,781,727,818,000,749,881,136,975,278,603,922,881,280,584,877,992,662,
296,119,823,663,540,429,291,469,671,153,005,316,202,644,783,789,048,924,210,
347,304,925,678,736,408,629,483,950,490,092,732,219,909,647,431,862,775,973,
304,965,673,305,337,511,459,718,003,322,710,226,784,286,174,473,952,259,177,
621,147,000,615,517,111,895,206,878,661,719,940,757,690,498,719,805,117,755,
488,101,543,282,374,884,682,888,836,920,137,549,712,233,394,531,991,531,362,
752,587,895,280,989,574,518,580,407,229,550,814,507,644,348,139,000,059,996,
381,870,930,939,780,949,378,792,696,944,209,888,374,494,067,149,920,119,552,
976,846,017,538,525,243,864,342,774,130,628,204,745,385,417,785,027,865,026,
147,828,936,306,229,998,305,403,056,694,802,884,556,324,661,546,108,749,753,
107,343,934,549,043,917,163,179,687,338,887,473,304,509,042,471,691,493,847,
454,151,014,775,116,885,667,882,816,939,125,187,360,626,558,120,695,509,084,
770,376,337,214,074,108,480,601,698,748,721,946,407,742,931,712,558,081,150,
504,339,219,097,649,896,439,460,292,737,249,917,761,261,883,378,396,527,940,
927,736,016,743,983,396,464,202,484,721,720,534,772,669,076,204,835,723,026,
063,173,523,423,709,292,581,042,079,314,223,587,222,035,129,336,687,250,653,
502,405,951,008,661,669,693,325,355,710,395,716,882,868,603,454,635,280,052,
366,882,782,322,114,725,307,832,291,081,771,952,307,144,210,317,757,735,004,
862,873,241,149,104,814,181,784,346,137,520,552,316,275,833,192,266,898,159,
114,731,077,273,599,177,779,484,162,920,844,211,907,525,878,869,972,001,756,
664,383,153,482,061,383,838,636,096,116,495,421,057,688,189,967,090,303,919,
978,121,903,863,932,131,654,077,776,434,525,662,368,832,562,535,316,560,386,
450,611,567,040,985,307,665,993,505,100,352,715,788,015,991,538,952,036,205,
729,062,758,573,943,655,602,852,522,466,996,379,609,202,429,879,974,741,276,
481,928,684,490,478,967,568,431,216,253,369,282,088,708,355,088,306,323,099,
430,432,355,431,866,669,675,404,582,661,658,804,697,887,318,344,205,605,072,
834,949,090,175,604,153,269,221,165,289,956,236,677,305,272,845,131,489,022,
423,053,777,045,001,004,301,849,871,051,894,105,252,681,798,084,597,827,257,
569,511,934,277,827,515,379,909,734,401,823,031,366,540,098,843,717,598,602,
811,615,193,842,741,678,699,590,090,411,472,268,189,220,758,426,023,713,346,
948,185,087,591,398,190,617,156,280,571,210,349,302,949,011,242,598,832,325,
891,694,499,947,600,685,281,305,944,245,189,813,050,643,920,491,787,767,281,
873,225,981,990,125,248,236,979,331,384,733,446,248,357,856,114,021,105,762,
101,025,524,033,585,394,094,389,112,707,269,676,715,088,616,455,892,280,584,
120,433,584,650,527,765,820,209,968,173,147,257,089,291,144,682,143,767,353,
320,472,261,954,747,171,604,659,754,214,288,182,705,319,159,109,975,107,091,
661,987,744,704,340,072,740,075,533,923,742,726,749,996,711,843,922,238,515,
743,602,862,152,988,949,468,883,763,801,990,445,059,946,207,270,686,364,299,
718,343,624,379,259,840,208,813,575,128,032,366,706,216,769,004,849,714,877,
700,089,956,205,002,352,360,819,985,292,474,322,101,569,202,288,027,904,465,
882,061,499,057,620,554,075,866,188,585,567,763,812,771,257,680,965,299,241,
486,182,197,688,208,323,405,102,061,953,455,387,081,888,000,950,045,437,861,
647,421,534,389,978,271,692,869,783,207,704,642,995,454,068,662,516,223,134,
858,409,530,214,801,053,957,412,465,235,971,573,493,313,347,827,048,501,982,
982,121,517,533,413,962,372,907,176,909,857,660,366,943,666,364,156,591,712,
746,369,438,114,196,177,656,387,862,241,170,929,177,129,145,197,813,427,194,
258,118,558,241,619,481,031,739,269,310,212,842,640,111,380,661,948,766,043,
299,522,767,791,557,326,114,452,258,469,774,377,882,221,798,001,780,779,223,
311,177,718,777,830,118,241,920,814,279,013,703,602,426,063,102,368,935,971,
429,805,149,754,913,577,217,564,657,581,084,306,540,903,717,037,637,267,746,
496,163,671,563,520,527,284,004,738,023,648,272,653,139,184,590,435,382,437,
815,381,377,228,444,196,785,944,923,365,307,124,016,685,694,535,353,891,819,
789,839,909,374,491,531,051,024,691,630,783,784,307,914,761,399,762,625,628,
122,408,228,570,052,216,006,679,522,276,804,601,189,901,027,061,908,128,413,
365,049,107,314,218,700,941,586,900,535,008,090,181,456,188,289,980,435,556,
207,647,210,764,986,939,450,970,854,574,627,738,547,950,357,662,491,050,487,
853,874,802,068,760,611,737,215,472,315,489,332,141,161,182,440,353,345,070,
440,765,055,479,398,056,801,350,874,046,175,938,669,835,272,605,210,249,111,
511,193,249,802,960,845,618,754,300,843,717,935,443,696,167,623,669,225,378,
427,590,245,450,200,965,852,739,611,597,527,536,366,953,418,802,830,871,669,
048,152,190,821,038,579,045,484,469,408,217,631,510,367,080,297,363,698,589,
357,134,156,854,214,155,587,711,065,371,667,591,506,964,420,883,785,842,281,
198,520,444,126,667,279,079,517,188,489,767,529,776,664,828,135,479,467,757,
691,054,383,200,726,061,549,559,911,358,205,745,766,750,504,329,109,254,466,
488,722,292,547,184,601,535,027,241,036,846,696,134,385,361,334,166,573,185,
397,564,236,043,668,309,199,940,663,510,480,312,768,861,606,447,296,529,376,
703,294,611,374,802,227,546,620,753,707,668,554,513,684,891,285,981,956,546,
269,492,998,759,847,578,275,634,881,915,161,056,607,969,626,419,855,182,486,
769,186,810,108,184,915,327,813,299,268,770,192,920,706,841,116,202,435,404,
364,911,912,868,754,701,779,408,682,512,565,098,598,522,210,142,517,962,789,
369,884,602,156,573,521,015,954,142,394,736,407,105,179,352,593,905,321,498,
468,306,638,182,147,223,317,708,826,987,681,653,424,806,893,036,223,822,608,
132,181,581,539,632,856,960,482,350,946,899,856,866,565,012,781,066,074,714,
629,895,480,526,427,246,399,884,087,294,299,517,529,396,395,219,452,081,844,
246,101,268,975,173,995,465,500,523,831,886,400,894,890,204,979,473,619,399,
358,628,342,186,974,957,666,082,668,271,710,702,997,466,071,256,477,131,026,
191,971,269,236,606,755,928,480,898,394,854,208,736,821,298,403,286,627,522,
464,189,684,995,809,125,694,057,027,278,344,547,912,937,513,819,796,564,659,
691,636,951,781,247,888,383,870,132,700,417,775,146,629,313,575,383,574,245,
000,355,504,733,751,728,869,958,212,135,428,762,375,174,384,281,559,934,022,
250,471,529,073,149,206,323,885,302,371,954,788,061,980,556,010,176,187,177,
320,803,760,534,143,482,042,200,354,334,235,336,358,699,927,693,539,132,258,
718,710,841,500,673,584,310,710,188,648,814,651,789,679,172,707,846,549,929,
878,862,139,365,839,765,153,365,145,290,000,154,396,918,693,866,599,919,549,
648,227,932,510,472,930,122,065,602,099,519,969,536,939,638,520,430,262,157,
783,847,093,655,484,243,379,236,688,603,528,228,494,680,141,206,517,225,484,
146,200,555,519,430,678,469,707,679,006,914,433,971,200,055,240,562,429,398,
803,963,590,211,601,074,216,674,183,416,744,548,515,238,353,128,035,745,324,
848,434,291,587,127,293,343,074,240,613,371,483,650,331,816,981,003,824,465,
052,452,502,860,043,189,635,746,127,626,170,563,856,906,150,225,519,172,132,
556,766,387,723,756,210,694,742,454,487,040,055,217,372,958,339,216,109,683,
701,023,985,186,627,558,610,864,155,329,514,467,327,294,130,198,298,613,043,
634,085,257,897,515,474,098,422,283,202,973,208,665,589,119,196,729,525,722,
916,231,326,927,563,403,706,291,369,471,133,520,530,501,760,756,121,731,769,
949,057,877,425,991,865,589,637,634,026,748,566,328,048,727,332,386,361,465,
497,160,240,711,878,304,892,222,591,140,111,000,594,671,913,161,941,765,295,
682,108,193,210,470,993,060,850,189,325,609,927,509,312,873,289,263,870,988,
786,621,363,823,990,982,875,662,511,245,364,181,561,686,010,017,184,520,826,
424,978,172,316,874,853,061,662,219,446,270,548,995,052,594,920,860,356,843,
180,670,132,011,835,194,484,658,520,038,463,611,108,466,060,372,290,120,089,
538,543,750,272,904,557,874,033,603,125,384,115,594,140,490,392,732,739,889,
486,166,141,894,083,859,005,015,085,524,448,604,959,610,379,572,673,692,540,
802,441,454,247,483,940,563,057,035,447,408,299,638,558,630,292,237,279,559,
162,852,142,863,126,859,669,367,568,646,201,753,671,260,163,412,783,347,743,
270,228,724,724,897,416,035,863,997,882,106,181,314,925,320,598,772,371,509,
794,591,233,872,722,972,868,941,122,955,211,281,105,088,693,335,631,062,293,
406,633,651,585,092,467,480,991,124,871,457,279,036,736,730,706,184,262,155,
816,990,225,676,126,326,875,114,350,202,414,646,577,097,184,102,559,312,610,
109,228,752,049,402,081,279,385,374,033,225,189,428,029,970,216,417,051,258,
873,587,426,828,022,078,814,604,606,833,476,517,809,962,725,545,283,709,934,
911,600,649,053,414,226,560,853,959,986,145,832,161,168,764,372,162,895,640,
485,690,818,434,638,261,340,916,583,563,231,959,424,741,749,186,230,399,222,
584,695,007,975,208,993,057,339,991,383,098,893,564,495,373,914,783,629,189,
108,832,596,502,467,151,343,164,763,636,636,144,819,426,343,314,886,295,212,
478,478,618,453,789,866,253,172,614,256,349,098,199,633,252,575,881,050,674,
765,894,990,321,028,343,798,827,580,466,538,229,457,905,820,007,750,871,200,
653,908,590,917,837,397,963,072,319,427,780,824,819,801,193,935,778,665,289,
613,350,101,168,243,169,928,181,737,609,169,714,018,889,110,399,701,028,151,
706,658,642,720,193,478,129,804,659,476,921,541,994,167,025,458,195,141,099,
392,261,928,974,297,242,585,771,546,077,558,487,395,734,144,071,703,886,032,
094,543,724,185,805,278,966,754,441,917,324,134,165,838,746,790,363,227,284,
815,594,149,002,453,082,279,368,109,272,419,576,899,308,303,704,945,931,902,
183,737,128,000,247,051,501,378,384,159,713,857,453,465,178,592,931,381,721,
980,708,829,528,820,216,469,240,134,474,903,402,836,636,526,438,237,930,917,
426,461,658,230,105,200,024,407,139,781,139,467,054,891,080,295,120,144,664,
973,867,712,860,278,794,313,594,424,593,087,557,034,682,532,656,442,256,421,
798,615,234,317,391,944,043,016,111,605,021,247,960,937,457,256,672,129,254,
107,254,811,499,187,191,830,889,925,275,645,728,646,535,250,191,174,284,532,
934,380,516,027,982,906,135,586,530,047,699,728,842,362,243,949,750,567,142,
585,352,675,551,150,161,103,677,557,894,222,582,850,147,120,609,312,638,384,
720,430,340,509,029,705,909,538,499,823,134,389,172,520,361,680,687,210,523,
231,877,035,642,972,002,270,455,376,629,822,629,813,537,849,598,206,349,411,
624,533,878,982,152,268,512,675,768,376,608,134,323,924,473,717,332,926,371,
277,730,676,461,523,837,503,738,001,074,537,582,296,070,032,834,632,415,482,
785,469,894,330,657,624,489,555,453,198,307,434,109,656,642,498,417,846,316,
870,263,965,976,868,607,478,661,637,805,142,917,791,428,286,406,466,721,997,
291,887,115,088,455,087,616,366,273,401,924,715,614,514,992,989,569,914,748,
597,106,339,664,643,659,594,619,288,761,015,817,239,422,915,573,122,193,060,
387,413,319,210,063,422,025,311,243,266,909,814,582,757,464,270,804,426,086,
276,954,095,092,121,637,811,488,556,754,317,936,517,293,297,450,859,756,350,
156,180,235,023,067,699,868,079,375,385,974,018,407,030,944,757,933,667,487,
574,905,472,702,751,993,788,571,424,899,404,938,725,983,298,479,704,282,189,
069,585,666,648,891,684,768,853,315,033,538,871,927,619,151,101,634,691,284,
075,071,734,654,833,259,344,723,055,752,347,381,524,288,627,400,701,037,692,
127,092,733,524,083,687,223,158,088,686,388,938,209,264,669,620,179,404,550,
845,712,909,273,559,158,191,979,829,643,676,257,107,075,587,600,598,232,351,
011,478,036,284,293,160,847,393,652,510,759,521,154,794,976,735,849,047,916,
689,318,377,420,915,029,873,186,058,446,623,363,573,429,053,075,000,422,703,
844,124,128,577,861,164,987,077,620,304,857,754,448,204,097,148,813,532,530,
845,126,370,780,824,753,326,000,534,359,006,061,679,534,140,526,508,708,391,
711,996,013,862,473,084,553,207,824,585,541,006,976,489,206,575,608,620,667,
975,236,959,945,399,353,546,216,630,381,378,956,341,552,333,733,723,226,858,
361,003,242,495,245,950,850,108,602,810,956,186,565,843,904,654,997,435,089,
185,304,296,954,932,333,622,444,324,448,315,733,448,580,413,937,604,869,344,
459,252,367,272,438,840,733,482,865,667,634,561,982,215,526,214,372,673,815,
298,981,669,163,054,669,126,494,627,840,670,602,216,439,845,845,559,022,525,
196,022,171,760,439,825,088,125,193,120,167,378,764,086,622,818,268,355,563,
595,855,278,418,822,953,379,214,218,978,165,410,440,670,649,801,010,821,705,
724,660,942,410,940,033,960,460,447,807,232,095,513,001,099,255,936,211,075,
582,372,152,424,928,017,209,519,137,274,508,593,510,329,041,072,384,753,923,
420,851,950,828,778,762,338,282,531,440,113,123,736,321,781,562,075,098,966,
720,324,853,593,826,009,080,631,557,128,217,992,754,463,977,234,005,174,109,
767,569,691,791,013,358,775,375,637,969,601,482,599,989,699,130,735,517,241,
645,101,077,771,804,232,405,395,743,459,319,578,891,693,014,147,540,015,219,
259,358,965,502,185,015,694,047,614,214,884,017,466,426,401,345,102,839,581,
588,883,283,478,143,615,381,314,966,143,278,360,584,406,199,366,336,265,233,
554,329,167,521,963,493,172,322,011,102,731,664,837,867,507,338,292,755,816,
033,089,292,031,657,351,306,395,941,183,001,287,242,172,206,488,168,594,369,
319,097,711,181,321,145,468,940,559,455,172,626,257,420,567,243,280,341,828,
086,119,450,438,345,777,950,825,917,834,793,969,374,971,491,517,093,626,689,
409,395,983,758,240,470,410,063,148,675,120,897,504,785,379,353,093,695,238,
020,245,595,147,506,291,673,935,348,237,543,155,851,685,904,945,887,298,538,
490,789,173,002,627,061,248,934,054,217,783,807,455,629,524,810,547,329,527,
543,978,114,049,256,901,262,964,944,292,564,937,566,985,460,567,429,010,648,
994,653,340,859,390,352,384,973,914,955,362,803,589,179,792,823,731,469,843,
614,637,856,049,405,629,972,834,706,973,270,799,814,774,250,380,152,346,947,
124,991,030,355,613,110,722,342,648,958,970,052,546,626,781,434,629,775,209,
921,584,331,503,555,430,920,819,785,861,519,442,440,187,311,266,353,828,733,
768,497,340,822,147,244,292,277,814,538,731,387,852,436,979,624,748,058,648,
813,730,714,202,103,243,157,298,448,077,127,002,362,504,303,237,153,757,111,
021,593,738,176,349,318,898,620,256,509,030,758,167,696,244,737,722,310,276,
148,155,112,260,384,931,749,099,813,495,569,250,906,636,692,503,088,806,295,
991,623,823,972,043,525,096,267,086,921,295,960,805,427,336,933,106,742,111,
473,754,775,304,726,590,174,087,319,850,661,651,355,903,563,634,991,883,198,
280,859,415,018,616,742,747,095,645,705,157,134,923,377,240,526,744,083,922,
043,873,640,983,450,737,018,834,406,811,558,880,159,174,729,661,432,539,955,
465,915,677,339,626,964,503,029,110,248,684,712,401,174,493,226,293,040,998,
581,284,215,892,844,000,577,161,401,395,000,610,391,678,659,027,729,409,611,
189,088,561,850,590,741,753,261,801,421,429,585,855,898,447,010,580,859,365,
155,517,366,478,918,030,035,807,514,402,332,021,856,062,505,545,231,807,871,
543,168,330,815,288,152,890,802,160,795,797,041,749,462,552,354,993,062,576,
604,056,377,480,055,064,673,865,635,596,526,099,015,024,450,644,826,520,267,
898,863,092,188,589,634,509,459,854,130,732,296,023,942,405,593,414,284,869,
482,126,325,389,325,925,084,703,792,471,230,456,421,321,340,600,021,755,055,
081,124,460,695,092,424,567,206,385,235,487,531,363,141,468,633,104,017,288,
336,094,726,803,604,516,866,433,274,239,355,571,730,226,912,014,746,648,255,
304,697,608,345,839,746,671,456,013,257,965,182,721,594,986,406,547,971,587,
752,840,547,466,385,302,098,431,425,595,320,260,044,277,050,912,952,194,014,
894,636,903,745,197,039,381,479,423,397,821,087,925,320,733,260,936,657,452,
441,059,284,128,293,841,947,557,485,296,665,054,265,463,907,898,283,161,004,
262,557,329,428,899,978,385,652,909,162,835,431,090,665,343,969,812,655,658,
492,647,694,336,571,813,315,158,013,664,146,703,754,156,073,900,547,943,857,
092,682,009,655,911,666,906,424,597,595,383,580,825,698,203,507,407,361,127,
694,927,526,376,100,015,736,755,145,258,225,169,089,474,033,245,880,613,243,
062,876,206,071,341,468,250,784,290,184,255,162,010,365,183,517,633,278,326,
570,402,591,036,472,595,542,644,329,873,189,578,110,119,527,623,615,038,800,
786,413,209,196,336,741,461,106,740,347,241,506,025,222,964,482,973,050,064,
379,145,870,031,169,361,021,704,836,720,216,660,136,123,094,321,023,484,068,
799,510,072,386,288,039,412,141,938,238,084,647,464,705,776,204,537,408,643,
990,571,308,202,362,316,766,877,923,310,851,950,978,165,597,574,417,290,228,
200,826,533,530,911,458,011,000,419,025,437,050,643,845,285,969,494,820,485,
495,079,644,273,978,812,001,794,942,338,648,226,192,194,103,602,653,434,074,
900,868,332,269,016,333,019,989,725,434,689,175,051,048,487,109,788,020,737,
897,953,940,024,891,393,655,283,142,386,484,049,435,951,754,300,799,300,470,
518,022,554,586,313,829,812,880,453,389,883,474,558,005,817,011,300,077,537,
265,061,514,922,940,345,634,944,015,388,109,845,804,117,325,692,130,986,420,
022,059,501,471,988,065,780,279,763,386,797,366,659,262,467,500,370,176,169,
039,508,449,869,167,193,269,835,256,964,631,879,757,905,112,725,613,913,746,
848,278,801,607,039,716,980,582,156,349,027,706,763,002,434,140,447,307,955,
125,824,604,447,925,808,476,231,170,633,360,706,386,257,561,244,823,411,616,
619,177,987,595,134,175,681,521,012,618,981,185,156,602,860,176,823,365,413,
345,845,725,013,078,609,164,060,079,680,143,929,820,723,694,124,874,790,444,
359,034,833,714,101,217,671,988,639,041,696,709,765,274,243,749,069,986,991,
704,312,556,301,323,984,020,665,442,305,056,417,686,886,133,996,373,165,991,
477,075,883,364,359,740,261,910,317,838,047,207,504,710,570,664,787,694,545,
264,449,627,656,965,501,065,675,776,270,998,310,548,457,048,406,119,659,245,
706,467,445,856,284,066,141,218,509,768,996,961,020,496,159,112,020,239,908,
485,849,515,996,270,799,236,341,822,395,549,638,057,956,569,559,269,362,739,
326,239,700,109,806,190,505,799,121,046,602,905,922,960,043,562,919,337,772,
097,447,719,187,086,153,972,901,952,329,436,431,775,451,422,902,745,780,286,
080,630,637,536,947,036,550,853,038,621,769,650,981,312,651,108,652,453,131,
747,016,899,223,818,442,274,750,941,587,204,172,217,153,794,982,783,000,544,
265,470,741,914,911,350,405,443,350,445,828,988,566,096,318,932,139,414,398,
335,729,270,028,130,309,617,345,067,528,634,972,478,656,235,886,811,098,524,
909,875,813,220,079,415,696,400,751,198,579,948,351,657,964,812,738,359,829,
567,247,833,578,142,041,059,010,992,008,918,271,626,461,460,147,772,132,539,
431,696,989,181,502,618,575,518,042,078,457,684,723,452,810,654,919,830,869,
366,317,741,777,589,538,715,970,741,934,401,226,597,362,312,830,261,010,739,
828,160,084,574,904,929,478,110,702,048,220,532,988,009,322,746,469,259,232,
592,981,977,408,637,011,790,084,954,606,367,688,208,720,713,843,889,769,057,
610,091,336,184,564,269,018,526,748,214,662,845,675,391,342,758,854,033,972,
381,688,730,159,938,921,901,259,738,072,521,245,280,353,654,137,391,045,544,
400,090,934,642,488,380,534,399,722,738,437,733,576,670,943,452,747,933,193,
008,532,078,386,308,585,296,556,131,568,882,964,710,496,600,040,880,605,212,
599,565,536,092,005,222,603,423,912,424,604,170,035,990,386,265,312,335,736,
206,492,591,755,983,474,740,986,428,520,688,208,482,006,288,876,360,130,819,
573,533,314,534,508,915,343,100,225,282,347,340,815,902,024,611,537,258,091,
014,824,107,641,605,881,365,116,869,417,271,010,021,257,392,831,726,144,885,
076,272,598,150,660,946,987,155,044,241,005,608,044,363,377,950,127,325,173,
991,807,789,469,331,386,415,959,632,191,341,934,741,739,828,867,841,660,455,
334,872,873,101,347,866,072,022,896,348,787,595,893,123,262,112,189,989,525,
339,257,941,611,420,708,148,661,608,894,701,260,789,961,976,965,642,124,029,
299,662,072,601,422,849,554,296,836,379,933,039,331,424,345,320,747,977,312,
528,908,833,539,006,643,154,010,950,358,385,160,880,438,415,654,640,396,373,
547,756,040,051,210,151,661,371,191,596,703,500,473,754,856,541,453,256,155,
028,901,147,808,446,020,006,667,905,246,298,694,352,157,552,801,413,953,222,
798,495,833,426,078,784,061,184,048,056,815,323,464,075,058,031,281,993,428,
678,652,823,899,811,215,133,100,333,506,060,409,948,156,459,319,989,169,855,
756,967,844,163,723,723,445,793,292,070,349,110,659,558,014,223,674,239,230,
867,908,949,358,391,764,069,223,039,323,169,152,998,411,856,378,032,922,888,
753,812,950,434,407,491,681,460,466,492,568,831,402,185,392,816,031,691,340,
504,318,981,441,424,361,706,480,122,245,949,660,961,865,945,459,882,024,280,
726,052,413,295,021,817,621,933,694,258,941,015,295,545,889,535,775,867,205,
277,397,319,296,937,443,044,802,394,327,360,771,758,827,509,023,134,597,026,
609,121,600,824,675,620,414,958,974,628,941,386,585,783,885,902,194,150,710,
690,329,724,618,076,034,628,366,042,006,723,189,928,053,605,561,077,957,554,
274,703,285,628,649,322,172,087,185,261,433,611,907,215,838,141,947,767,036,
339,513,340,110,877,483,278,511,556,562,155,135,058,736,457,430,550,570,309,
282,168,231,960,429,645,262,330,291,388,536,947,764,116,937,965,939,293,457,
392,589,770,929,721,793,018,983,312,739,404,854,415,292,889,115,666,461,408,
724,866,565,812,335,434,870,962,847,740,940,685,622,208,361,862,794,708,610,
762,699,313,860,699,807,568,095,056,747,344,807,717,097,856,563,983,248,804,
274,850,071,562,113,587,757,476,133,854,626,208,930,177,227,087,432,894,750,
442,606,945,615,301,609,281,773,442,431,762,994,994,401,166,292,066,810,389,
019,898,493,916,947,482,332,957,191,770,092,866,466,422,085,419,530,637,666,
207,523,424,391,941,557,392,126,438,638,738,930,975,046,335,358,626,684,631,
478,336,899,198,935,973,188,851,138,572,645,024,597,590,113,235,163,451,815,
887,848,728,703,451,632,821,515,901,233,748,109,493,383,647,253,523,244,269,
020,114,614,011,526,661,822,941,106,656,661,767,284,397,876,255,582,475,407,
521,072,002,931,242,465,693,751,447,005,189,531,687,309,261,018,019,652,439,
780,188,756,405,013,238,176,416,044,150,637,045,185,433,980,449,728,168,831,
932,612,092,326,508,852,790,089,473,844,658,644,687,085,634,228,637,620,131,
582,131,645,195,385,799,853,722,556,125,245,388,491,502,705,475,993,652,574,
842,493,019,354,436,210,965,534,803,607,875,615,853,073,294,839,290,849,833,
893,198,046,456,883,716,144,960,253,034,028,415,692,369,419,040,675,123,501,
740,431,414,252,703,238,973,024,187,786,355,719,991,543,223,592,328,958,048,
335,012,723,392,072,051,873,708,143,632,963,642,215,648,648,492,546,297,677,
301,513,606,322,241,448,029,531,780,498,303,310,796,248,479,343,974,392,855,
362,053,269,421,404,757,055,379,141,041,948,288,268,276,309,579,222,176,046,
883,285,252,828,174,415,792,588,596,621,361,270,186,565,178,152,345,773,267,
094,931,168,878,626,170,360,580,184,155,152,863,158,141,925,686,824,947,017,
101,786,569,464,501,721,038,504,973,576,167,465,884,059,382,501,992,052,785,
905,044,060,730,765,573,053,709,068,045,243,269,416,033,794,818,739,285,501,
827,981,334,294,189,369,840,146,117,563,134,144,795,078,295,278,851,335,364,
528,488,268,009,616,040,285,423,803,143,318,937,704,628,323,512,335,264,938,
048,833,841,492,571,936,600,172,668,382,055,049,654,593,859,482,377,198,121,
146,152,152,493,822,422,772,069,434,110,157,302,264,879,188,985,719,652,638,
735,300,043,414,671,841,951,182,605,525,355,166,007,672,877,943,527,281,653,
725,918,641,252,565,303,441,824,857,524,889,235,327,546,621,226,563,407,169,
923,142,701,831,160,059,185,044,141,853,378,487,040,664,265,605,333,054,284,
421,375,887,600,629,202,919,897,250,870,212,665,061,272,760,328,550,178,143,
501,380,402,734,813,487,038,052,059,923,216,930,960,479,338,667,340,530,871,
710,761,082,043,463,024,773,512,631,493,002,619,465,978,803,963,741,098,858,
565,842,701,517,334,562,936,573,239,294,764,093,172,564,848,996,919,479,060,
439,667,464,482,455,333,562,440,037,317,692,705,344,829,247,420,637,984,778,
797,734,118,520,120,985,256,329,928,959,117,995,606,374,390,333,882,599,284,
310,169,900,968,532,969,660,793,686,405,625,072,748,796,821,559,582,088,209,
475,965,569,102,888,891,464,117,766,765,205,360,336,543,134,263,635,656,228,
403,019,011,337,356,723,593,625,674,083,853,652,088,842,229,935,633,566,652,
042,928,787,060,379,440,897,242,582,018,530,926,640,870,746,050,459,926,778,
526,303,166,959,811,711,973,826,890,786,756,387,761,525,452,137,909,166,659,
882,843,564,632,377,077,152,865,011,438,121,179,077,789,838,159,765,473,834,
962,870,772,520,401,869,284,196,386,320,266,886,904,788,581,677,387,313,801,
380,099,596,867,030,845,094,095,953,735,607,288,924,768,137,746,172,753,083,
076,097,562,095,856,656,770,670,214,292,591,858,797,429,186,269,896,393,157,
033,943,425,187,130,817,287,260,026,514,805,578,271,742,345,249,768,695,516,
872,410,766,850,253,710,521,145,091,515,605,977,623,949,834,386,801,295,465,
039,439,320,670,617,631,401,875,686,561,616,243,452,560,630,879,012,901,219,
314,457,707,607,938,150,259,719,978,795,140,512,397,621,470,605,294,875,741,
734,883,655,266,521,771,446,493,630,608,768,590,417,810,428,897,554,812,071,
435,495,298,946,168,298,928,380,807,258,785,916,267,345,669,229,217,982,752,
950,122,690,073,798,149,948,023,381,584,920,005,673,633,499,711,622,743,676,
353,222,843,862,817,905,698,213,578,172,280,650,243,641,052,111,407,232,773,
579,760,531,975,763,633,151,761,639,963,371,029,115,444,650,812,690,415,824,
819,642,956,737,266,898,417,562,651,028,122,491,298,199,297,047,927,926,548,
735,990,780,140,910,602,811,958,683,189,405,889,486,629,586,143,220,691,923,
247,034,374,520,296,401,329,019,733,749,749,283,884,103,145,085,732,922,459,
723,980,801,026,728,724,537,773,118,126,424,575,545,365,643,565,570,579,057,
332,086,727,395,007,159,596,718,971,442,955,551,331,635,555,157,743,934,748,
598,450,156,896,374,732,370,163,760,970,178,457,492,138,249,797,142,514,078,
108,331,533,937,106,438,297,245,499,172,843,075,564,023,785,615,259,504,097,
614,782,690,013,297,229,519,596,788,303,841,267,343,969,685,255,643,545,524,
610,426,426,251,324,303,661,934,791,849,906,108,764,079,199,501,352,767,923,
906,712,532,238,293,851,424,870,314,586,747,526,180,331,525,049,841,324,454,
279,149,598,848,951,357,730,108,180,194,184,864,175,371,073,674,861,191,246,
568,773,077,384,877,512,378,089,904,275,275,257,022,270,495,957,578,246,112,
598,274,110,625,108,597,384,630,836,016,287,735,487,688,508,411,919,210,570,
522,636,021,041,520,055,454,249,962,111,014,050,388,621,841,939,657,330,110,
690,587,320,096,714,872,377,695,087,477,821,526,431,616,523,000,735,382,819,
465,974,041,020,473,471,478,586,217,573,045,426,137,848,140,823,900,711,435,
944,490,888,155,809,951,038,777,946,451,410,956,841,407,375,927,448,452,417,
187,654,114,160,939,684,508,115,993,870,135,402,743,073,181,689,800,895,796,
331,808,742,637,812,098,047,356,051,329,730,685,989,417,753,101,388,585,881,
427,472,205,000,723,151,425,007,909,492,312,680,493,887,273,265,598,202,472,
486,904,039,574,257,396,133,013,316,351,702,600,716,514,308,528,329,805,075,
494,479,928,218,376,339,705,050,808,545,198,972,672,030,469,704,756,649,691,
068,085,493,659,155,053,518,975,512,127,306,297,147,986,551,313,672,837,015,
563,225,342,529,882,658,823,047,562,228,108,223,938,165,272,722,665,809,404,
722,196,759,739,845,551,943,583,497,585,781,373,311,102,991,371,186,793,581,
176,259,552,370,825,659,167,277,756,256,906,789,102,357,362,384,083,323,998,
227,379,136,615,506,701,169,407,311,812,327,084,640,392,127,682,945,606,054,
068,081,134,960,156,675,571,973,209,145,845,991,524,146,039,982,802,513,718,
062,194,212,500,023,657,424,381,346,189,258,201,256,768,825,532,299,809,779,
485,082,151,389,329,378,821,355,731,004,334,813,574,678,528,303,030,408,867,
837,925,077,660,742,424,475,913,845,470,260,220,282,580,533,657,127,504,373,
070,504,491,491,049,617,803,472,622,564,508,007,261,945,208,815,023,451,316,
297,152,077,205,141,613,992,915,554,107,129,193,534,679,316,881,139,622,888,
824,109,417,648,784,455,154,613,137,486,805,114,528,477,955,991,370,543,063,
242,746,268,285,650,465,962,333,312,061,463,913,110,940,022,612,117,322,277,
692,658,644,644,310,678,361,337,772,964,428,782,607,326,379,465,185,978,537,
443,586,225,068,371,416,646,847,623,993,206,060,360,865,366,831,688,975,724,
290,975,222,568,004,293,675,612,310,722,018,354,250,291,033,369,658,670,058,
969,062,826,763,768,496,712,239,041,243,605,755,104,733,882,292,083,288,299,
693,719,649,571,718,152,998,775,984,376,613,414,003,181,218,556,364,962,449,
876,432,045,385,487,834,190,543,085,971,647,663,356,372,972,868,513,709,387,
894,895,703,056,214,610,283,294,164,119,237,284,284,124,925,918,541,940,513,
240,995,393,730,676,494,309,600,497,669,473,934,231,740,811,581,785,646,734,
823,428,675,099,191,139,088,003,701,584,090,245,821,925,059,283,787,078,794,
156,186,727,854,957,449,457,712,035,596,580,881,480,066,502,926,808,017,028,
554,002,500,721,958,744,625,779,450,661,887,778,960,227,944,343,688,167,785,
121,645,468,016,824,764,253,469,581,042,882,810,387,275,539,030,899,660,876,
038,153,164,753,924,289,340,889,013,970,224,073,163,778,001,259,163,770,508,
990,813,234,235,183,415,771,585,732,088,085,496,738,376,362,273,258,953,156,
374,093,862,227,159,304,265,792,319,600,112,547,183,807,953,296,800,230,814,
591,700,900,938,655,066,872,784,496,558,319,528,274,751,315,365,691,860,209,
131,143,916,795,505,807,160,340,892,602,350,339,499,759,556,111,679,089,092,
915,635,407,246,462,640,754,067,117,543,252,185,674,933,094,384,160,071,950,
178,994,737,494,528,685,614,515,975,486,349,077,313,363,950,550,632,292,707,
470,857,230,394,680,509,814,921,650,778,636,332,766,116,684,392,148,311,777,
474,635,705,921,411,306,727,135,189,658,465,828,898,194,787,442,245,559,512,
946,695,614,288,281,878,292,481,153,541,765,003,961,506,905,241,273,720,971,
544,086,017,645,253,015,541,906,119,852,379,969,659,868,912,680,659,337,590,
434,038,754,711,376,503,136,113,424,630,637,421,308,343,306,352,540,351,467,
579,676,420,230,815,700,063,534,850,708,537,323,034,301,975,751,892,985,236,
089,089,883,229,463,166,829,748,457,538,299,906,945,947,713,847,653,469,573,
675,940,536,089,296,554,259,918,882,699,457,640,103,678,790,805,314,424,610,
857,111,822,181,105,250,362,592,422,789,937,624,332,581,451,199,141,323,678,
379,954,689,055,282,493,866,930,597,446,081,288,257,558,068,668,379,468,408,
746,907,146,306,741,426,918,453,282,952,231,398,774,012,466,501,345,430,114,
933,346,475,917,046,381,227,899,104,408,211,463,113,839,008,227,281,019,104,
189,734,078,985,250,883,439,702,161,107,783,623,156,312,361,020,789,177,738,
337,645,511,652,671,735,697,873,816,515,164,435,392,885,252,598,943,785,916,
321,964,137,378,380,363,808,331,795,816,882,694,537,420,089,181,170,615,331,
267,027,181,347,331,109,704,992,292,047,569,073,917,419,550,479,942,954,026,
503,424,988,104,436,596,125,900,178,405,993,518,973,246,568,103,360,424,566,
034,437,340,681,391,097,203,223,341,754,704,938,537,734,790,667,101,492,514,
571,991,963,085,350,322,785,017,058,250,913,571,870,341,849,118,529,667,655,
599,867,195,957,656,468,586,662,490,277,755,244,369,407,246,458,902,420,707,
518,527,651,973,460,843,045,952,412,041,843,448,291,685,906,695,549,245,495,
939,037,604,634,727,839,757,732,823,842,018,509,535,206,261,468,859,615,209,
967,020,117,574,447,690,211,246,351,612,988,418,789,790,314,197,015,596,690,
006,192,631,872,977,468,987,544,560,982,189,335,079,059,257,004,185,178,629,
136,449,928,670,482,855,137,361,790,236,371,392,455,072,665,362,420,450,422,
046,661,337,491,638,994,026,836,270,949,356,496,734,960,699,640,770,072,350,
949,376,920,120,538,501,852,632,873,260,613,747,125,062,031,256,011,431,508,
030,947,949,506,607,406,986,498,535,866,097,597,874,270,898,341,109,962,883,
762,983,334,444,921,339,860,900,284,290,301,165,671,382,532,819,159,936,767,
935,705,009,778,173,551,411,911,134,952,520,501,367,794,530,899,427,852,718,
506,497,962,911,710,315,502,886,534,573,624,004,193,291,607,741,561,945,987,
529,873,444,732,226,879,193,921,121,241,638,378,174,817,190,822,494,623,048,
677,235,943,760,063,238,614,500,219,468,790,012,055,304,826,013,706,094,651,
479,807,168,823,911,412,696,764,299,743,652,445,033,078,439,137,523,930,801,
900,069,809,622,915,946,959,895,108,998,581,916,430,413,412,689,388,532,183,
160,812,736,240,463,118,868,430,209,116,613,228,450,881,074,120,729,764,535,
202,149,890,372,978,445,289,537,689,009,455,214,207,306,216,843,031,634,560,
234,676,772,516,023,669,153,734,366,386,304,719,823,653,223,871,814,125,235,
756,583,740,965,732,282,731,811,737,731,454,127,270,383,104,173,120,936,482,
490,322,631,807,388,557,477,523,876,253,601,195,915,317,553,408,048,403,577,
300,221,210,601,173,288,789,767,367,239,320,020,338,041,460,693,761,722,122,
163,957,594,892,438,366,545,070,645,477,774,037,537,160,915,359,777,214,466,
193,920,675,750,146,745,920,154,027,456,111,533,795,521,140,182,887,969,461,
518,788,765,928,785,884,595,433,326,297,743,326,458,774,710,495,673,099,859,
835,008,316,884,267,181,665,708,483,287,647,799,134,835,561,065,141,958,311,
148,653,154,340,731,149,782,653,784,429,407,759,055,229,905,030,127,104,057,
852,024,457,571,962,058,251,333,013,287,915,038,975,705,750,287,660,258,372,
320,074,873,390,318,912,964,779,576,777,135,172,942,431,583,180,416,173,985,
820,532,745,956,445,282,801,269,659,985,213,977,115,149,484,302,464,386,732,
730,454,960,086,024,075,114,527,643,349,741,212,857,663,076,166,121,809,172,
456,929,636,656,844,324,096,422,645,822,846,232,429,091,388,956,717,034,570,
989,091,648,128,869,924,913,306,415,518,937,040,776,279,773,941,350,834,844,
977,370,132,929,465,907,827,447,524,542,746,612,050,124,432,932,956,253,535,
806,956,461,616,964,280,178,732,524,950,897,971,697,033,783,199,481,288,691,
134,209,600,380,420,548,922,907,664,414,731,514,567,443,193,857,674,017,403,
194,819,415,795,628,524,766,433,264,012,438,385,717,673,718,085,931,266,663,
855,628,675,844,758,574,605,465,419,683,105,550,282,595,444,097,375,314,991,
631,582,622,627,373,159,720,448,838,110,830,957,373,673,764,047,351,194,987,
822,113,760,141,065,781,336,451,840,783,290,687,870,810,503,694,876,348,272,
821,457,317,184,530,167,415,833,144,924,557,748,166,598,855,466,784,941,031,
407,294,592,435,538,903,180,152,485,141,768,256,574,756,743,100,726,716,033,
138,058,211,024,956,468,479,671,563,149,627,680,828,631,934,777,831,018,195,
255,342,990,815,426,448,425,042,873,371,238,653,299,017,213,581,911,842,723,
165,786,818,406,312,690,927,975,146,257,098,826,375,394,393,597,151,286,486,
621,550,904,745,250,073,325,271,585,026,583,584,866,993,301,530,986,060,668,
085,036,949,612,560,696,193,809,740,921,560,892,377,270,421,526,667,829,381,
499,141,995,454,925,541,645,233,598,974,282,757,937,038,241,218,491,050,956,
152,493,897,050,060,352,339,941,133,140,578,101,392,307,668,726,849,413,616,
402,936,930,615,870,686,328,067,271,125,309,471,443,517,416,490,425,236,862,
032,708,320,533,034,281,522,249,704,464,108,421,804,240,066,063,473,087,618,
550,719,955,019,156,579,197,687,283,456,938,882,538,304,573,029,146,224,596,
533,160,431,191,254,399,119,392,577,978,977,950,159,715,325,679,490,827,688,
394,578,037,754,468,408,021,145,390,622,090,084,303,194,050,414,870,127,915,
060,431,084,187,638,585,716,396,712,280,881,509,413,324,650,444,179,979,219,
794,776,770,944,094,971,559,666,743,596,541,555,209,607,789,420,207,307,358,
361,088,388,872,855,922,728,874,772,207,589,975,080,013,934,559,359,368,583,
712,813,024,247,405,409,129,341,974,960,625,539,659,694,846,124,836,102,387,
567,373,044,843,315,770,197,103,718,896,783,917,437,524,207,212,743,795,835,
627,732,636,596,324,742,973,884,856,478,480,135,300,256,555,499,412,940,345,
311,246,586,653,524,234,667,221,398,860,195,874,954,518,902,577,930,274,051,
083,287,378,980,452,122,798,018,149,805,375,539,312,002,734,027,738,064,080,
557,926,767,624,063,605,123,772,739,618,236,193,943,282,303,644,381,639,899,
893,506,697,804,829,606,845,711,001,788,081,737,312,099,092,025,796,191,945,
808,853,501,335,550,150,846,281,292,021,532,947,624,305,979,602,129,179,928,
948,046,609,236,116,518,637,196,680,598,372,824,210,283,690,695,202,841,127,
347,170,457,771,972,697,167,855,859,617,839,513,127,150,508,518,068,508,359,
648,179,183,368,689,729,136,330,435,103,227,314,769,505,141,131,229,075,160,
365,351,621,080,539,387,658,721,878,324,474,127,760,561,514,511,035,300,296,
263,153,987,612,712,700,025,772,069,988,269,728,178,057,938,193,052,623,597,
373,131,260,635,191,888,304,056,517,562,819,157,342,024,687,063,714,279,404,
243,840,059,336,247,965,301,003,043,696,123,081,132,312,598,071,231,123,322,
353,810,691,188,765,596,889,243,739,874,578,434,531,759,718,854,161,812,988,
851,390,269,345,154,150,048,425,847,473,012,299,974,182,754,653,741,360,277,
418,409,067,320,781,364,902,023,477,611,365,309,948,128,124,957,005,088,290,
781,959,139,036,981,780,571,351,565,865,573,368,681,551,175,875,827,824,803,
070,702,165,614,183,383,444,377,946,191,386,128,031,519,201,906,868,846,576,
898,383,134,938,468,633,805,264,723,208,840,691,425,720,720,886,466,337,615,
257,040,014,053,682,415,443,857,934,778,614,214,934,379,800,883,923,947,409,
469,650,628,983,974,935,482,642,157,093,868,096,764,467,561,028,926,698,629,
362,185,741,165,796,352,984,528,033,420,143,010,001,071,858,925,460,984,448,
615,309,566,052,947,685,546,528,144,740,113,428,779,432,334,354,840,330,049,
968,040,519,271,496,849,042,952,917,080,051,462,661,876,459,301,498,585,749,
084,946,760,279,488,425,574,580,776,607,180,484,653,031,634,061,586,940,343,
911,098,980,554,260,916,617,105,758,487,912,429,788,229,500,339,510,640,038,
993,511,977,067,330,895,321,291,922,300,458,514,258,792,765,143,406,654,549,
379,116,938,193,666,760,779,638,220,780,486,037,546,177,189,780,784,122,292,
034,195,527,177,031,054,299,685,744,382,135,862,701,915,569,538,428,474,402,
405,637,858,060,112,842,995,069,137,477,179,953,340,910,328,044,430,739,533,
546,987,477,387,623,066,517,945,057,608,250,212,660,762,061,676,518,457,594,
493,382,795,093,358,767,642,965,587,945,059,266,918,516,992,771,439,340,181,
543,088,670,802,447,845,715,631,565,762,366,992,568,116,125,903,933,152,561,
396,394,691,807,656,035,871,752,689,790,522,683,774,538,441,773,238,251,231,
476,682,470,371,296,659,912,921,732,257,708,351,170,647,968,856,751,183,195,
541,567,609,660,688,603,105,161,553,348,113,657,089,580,297,778,782,064,873,
394,133,009,790,910,409,456,523,312,231,917,152,287,207,903,020,660,164,915,
246,129,398,138,891,369,087,687,332,648,114,846,311,513,498,784,537,631,035,
609,486,063,979,519,365,357,469,371,332,958,538,146,703,728,406,793,597,396,
200,522,991,835,954,530,232,507,371,134,936,295,163,397,503,994,478,287,257,
528,561,723,255,443,740,604,874,474,345,885,217,006,459,387,579,776,100,452,
130,987,898,943,973,679,422,615,719,731,306,675,629,823,080,027,954,092,073,
751,863,298,053,119,701,682,233,104,082,038,376,881,620,409,892,118,732,043,
929,415,868,296,917,087,404,385,166,473,834,675,182,323,626,756,537,427,727,
644,644,837,925,236,286,904,164,578,345,884,380,750,572,470,634,890,871,130,
930,474,914,808,450,347,900,813,100,171,064,872,694,033,346,112,186,828,298,
854,317,806,828,726,039,433,800,682,323,617,417,613,349,381,446,119,900,154,
136,411,088,906,628,566,842,658,804,407,249,428,310,823,092,489,446,233,412,
206,325,813,985,579,859,163,432,124,939,760,591,550,733,958,821,455,208,906,
939,415,557,063,461,487,197,554,707,815,816,687,940,540,696,698,152,524,627,
441,699,563,826,098,795,603,320,625,218,306,252,382,169,122,525,796,391,692,
776,106,021,449,149,463,851,118,252,954,615,737,081,369,195,483,710,770,222,
505,855,863,931,085,732,734,832,472,018,180,125,674,358,861,651,699,442,330,
757,957,719,294,263,431,125,338,734,300,160,207,472,969,814,598,002,388,684,
159,526,804,715,755,993,380,518,134,689,800,059,331,554,126,666,646,898,760,
438,966,339,325,609,142,826,220,924,999,899,026,832,850,327,389,084,429,008,
363,486,631,930,681,836,488,134,431,014,168,196,554,667,482,531,077,667,416,
326,942,577,068,599,868,592,554,460,109,471,634,852,331,386,392,575,517,965,
969,214,164,252,249,627,684,365,396,488,868,355,996,509,560,423,360,150,159,
850,273,607,217,532,743,953,981,635,916,013,440,565,119,052,698,272,418,997,
786,634,031,807,089,929,189,313,701,145,978,601,655,502,125,978,839,814,276,
338,277,249,875,812,240,684,641,914,286,338,488,733,985,434,882,241,936,622,
893,904,450,526,263,515,640,312,471,436,513,422,716,240,000,889,738,111,626,
695,242,978,039,703,327,937,451,177,331,980,610,726,497,162,898,223,382,880,
503,679,926,907,799,260,066,581,272,763,968,732,808,626,169,767,214,053,198,
997,264,387,195,370,411,243,704,091,657,399,877,694,622,542,246,319,100,991,
567,854,448,212,294,149,355,555,792,262,607,384,508,891,036,077,013,437,237,
901,005,518,748,153,420,378,730,199,424,771,762,848,229,935,162,208,505,708,
804,085,447,742,373,705,094,229,394,013,814,872,632,108,704,224,602,649,591,
257,850,084,401,121,255,567,900,338,179,124,695,210,435,950,091,578,594,792,
716,213,627,913,484,230,786,089,544,453,884,911,623,408,801,539,138,561,586,
491,924,112,678,647,489,311,034,182,151,498,069,014,777,649,737,267,787,228,
926,416,435,335,469,613,123,650,958,026,111,307,753,413,361,966,798,613,909,
673,837,286,379,938,685,022,599,217,838,570,199,729,026,235,748,344,513,503,
419,146,841,853,976,460,988,848,804,364,049,199,934,985,715,569,291,399,618,
242,702,660,049,155,555,704,522,454,391,006,743,519,294,047,077,129,481,423,
901,139,609,935,326,688,071,596,544,916,087,013,306,405,159,947,458,449,032,
980,091,582,747,728,784,219,263,232,366,667,926,943,187,987,713,242,990,377,
045,291,209,082,540,311,244,391,519,294,821,583,661,747,152,190,277,164,318,
542,225,929,038,067,532,698,563,485,609,888,503,109,325,943,840,132,541,120,
778,709,461,668,781,150,534,690,547,850,431,180,814,371,420,287,763,835,764,
104,547,487,433,928,377,340,444,186,730,219,048,207,984,511,569,580,925,234,
489,695,831,836,392,487,771,724,962,661,853,706,056,142,295,505,398,364,045,
711,725,582,555,855,979,255,385,172,670,969,025,401,473,896,857,699,930,850,
268,915,921,992,653,970,040,223,458,430,737,187,529,021,287,206,417,199,596,
437,987,086,431,296,799,147,629,793,062,357,701,771,011,050,831,670,444,810,
976,456,398,903,824,124,602,409,825,432,956,476,843,110,914,297,442,116,699,
552,190,161,937,913,315,875,828,610,080,372,043,640,508,986,937,429,401,732,
090,240,434,639,524,591,774,613,038,293,452,432,547,761,326,137,948,971,590,
923,838,103,760,134,828,825,436,679,886,437,585,939,693,407,598,141,863,245,
043,743,353,127,215,599,497,617,026,500,071,698,922,439,325,769,258,763,130,
726,762,529,103,603,434,619,860,573,916,619,387,804,566,892,665,804,453,678,
765,163,704,234,973,569,578,375,526,856,158,408,431,502,285,052,371,655,025,
813,417,017,103,039,385,207,977,954,227,313,459,136,192,557,739,387,825,950,
234,584,841,005,083,981,572,228,983,975,871,826,112,320,229,825,744,702,302,
443,862,435,332,603,344,209,755,795,240,637,341,740,368,279,552,652,094,935,
788,320,742,643,451,775,167,847,761,950,690,707,475,653,546,573,515,483,253,
731,821,625,860,773,003,642,156,500,617,245,948,122,887,402,045,995,329,109,
471,015,229,673,542,533,451,985,613,995,903,738,739,278,237,413,433,722,997,
080,484,663,302,802,981,555,145,426,229,234,138,642,210,489,569,183,988,236,
959,871,247,494,076,708,641,539,009,212,026,851,123,008,944,919,485,563,444,
396,934,068,283,396,353,436,545,902,798,950,359,630,358,029,208,364,151,636,
774,187,586,262,697,404,354,631,742,723,052,571,682,715,179,850,084,838,112,
366,800,604,647,045,444,036,697,007,012,374,822,551,207,310,433,552,311,233,
134,613,428,758,923,509,589,639,887,266,216,142,563,600,706,564,830,962,564,
849,477,708,827,910,016,666,309,488,282,316,124,411,097,283,724,718,910,399,
523,574,987,392,015,745,616,084,368,761,522,081,561,537,578,365,097,192,256,
125,400,591,289,440,172,038,869,840,950,590,753,841,499,741,888,352,626,007,
443,574,780,950,283,607,200,988,355,370,743,903,110,597,452,405,965,749,269,
250,416,260,840,973,929,231,737,740,532,015,483,434,484,038,331,264,833,229,
612,388,392,524,485,490,620,229,814,602,384,826,249,189,945,078,232,038,951,
112,606,401,422,176,357,781,003,048,085,986,117,750,036,715,896,507,380,459,
300,475,075,680,346,405,620,337,987,620,873,806,016,378,502,353,489,247,171,
242,439,455,643,051,975,028,435,484,699,267,942,512,372,549,787,609,832,094,
429,828,504,557,473,798,030,868,944,280,928,430,848,607,346,724,780,202,073,
605,295,487,784,323,799,251,577,413,495,928,826,261,070,391,965,814,846,782,
567,053,600,204,046,107,877,175,049,846,704,046,942,167,345,520,565,601,867,
831,153,526,249,684,384,489,946,689,687,914,653,324,178,436,310,155,279,841,
240,301,332,738,111,562,313,632,806,683,585,204,666,675,094,129,529,823,175,
695,280,331,532,547,744,189,172,808,329,099,255,029,534,743,118,977,977,966,
387,709,036,769,888,023,555,320,341,133,272,611,569,951,618,713,360,298,499,
430,045,684,331,660,882,172,013,239,266,336,365,076,357,850,666,112,415,232,
389,949,334,544,598,864,024,307,599,506,976,972,396,507,726,220,591,644,714,
370,941,147,585,127,377,935,864,101,123,510,969,472,892,878,009,644,417,044,
951,016,923,844,424,807,786,458,636,667,413,771,541,815,822,977,580,260,936,
722,114,345,259,064,718,442,793,116,272,088,407,543,979,340,488,397,533,451,
392,900,628,861,474,031,615,599,741,276,782,663,882,110,879,047,816,596,331,
809,419,134,901,129,850,876,167,389,931,786,840,024,817,372,712,786,028,422,
142,181,800,612,441,054,030,844,368,646,190,859,438,882,432,418,584,821,902,
669,011,794,534,589,666,412,618,821,106,608,470,515,673,707,783,312,049,497,
794,933,112,389,629,056,872,590,635,764,301,430,244,751,363,891,674,603,913,
573,496,504,876,998,653,303,284,015,478,025,700,518,495,171,376,629,708,570,
921,867,312,230,988,228,352,754,059,831,783,695,981,096,131,664,635,171,954,
702,213,605,118,539,365,503,976,943,767,208,742,321,561,477,445,186,563,508,
976,568,135,007,550,719,875,092,078,072,458,389,063,373,353,862,035,269,485,
961,354,944,997,213,004,488,968,276,296,080,603,760,290,706,997,914,546,907,
055,551,502,914,726,886,709,940,107,118,010,293,273,313,586,224,788,724,062,
480,559,235,098,690,271,428,721,780,811,963,019,980,355,412,586,841,686,806,
684,441,572,177,520,517,627,126,076,380,115,257,006,576,904,311,139,932,210,
261,594,677,069,553,083,398,443,460,903,336,960,378,107,600,194,991,408,559,
284,105,078,540,981,769,758,408,238,460,084,915,708,921,781,154,932,940,229,
520,862,717,632,361,458,405,288,652,302,267,235,555,704,167,728,173,962,990,
929,430,233,415,312,591,875,698,509,118,639,193,499,134,532,442,655,428,162,
835,992,236,663,271,180,422,900,688,636,301,050,124,605,477,743,567,637,608,
622,417,986,328,141,327,213,990,799,272,657,907,780,576,017,593,755,740,254,
005,981,105,358,182,522,143,235,104,500,668,113,291,104,347,894,047,957,520,
042,164,085,857,975,455,788,639,648,794,387,092,788,254,411,447,947,470,732,
752,581,992,831,333,117,222,337,044,138,787,025,436,963,283,396,201,743,767,
743,992,894,929,016,684,024,719,751,963,489,354,094,106,293,563,456,327,834,
167,378,257,224,220,272,656,060,270,545,121,222,667,527,309,429,965,015,436,
940,650,442,652,939,437,010,082,901,262,474,039,692,322,207,579,055,092,126,
630,902,452,972,187,202,993,133,289,519,421,096,420,425,343,164,638,147,490,
166,275,466,001,709,094,047,850,643,088,941,445,181,825,718,276,052,005,706,
988,504,910,044,258,958,540,485,274,185,248,031,075,574,018,309,432,560,986,
674,199,412,872,094,613,428,456,695,016,176,694,106,997,188,785,393,885,176,
131,741,056,463,903,048,141,506,665,715,532,873,140,044,547,586,768,662,723,
013,167,646,720,429,451,897,984,486,308,621,012,136,460,543,559,324,370,298,
346,632,520,461,809,611,702,419,323,474,225,376,692,512,229,961,801,605,011,
891,873,649,260,557,617,651,620,763,291,686,869,858,296,316,172,928,246,817,
377,910,036,135,947,579,089,742,636,323,460,313,128,734,571,338,582,201,583,
514,098,963,682,960,110,018,174,607,870,890,354,866,291,506,714,200,672,006,
405,269,092,587,471,301,268,357,033,821,633,796,421,249,333,959,350,397,221,
524,324,208,451,874,731,755,982,369,715,410,407,782,037,183,967,554,976,619,
889,097,718,640,934,801,078,092,440,873,013,122,783,607,756,376,754,372,838,
091,368,450,249,490,266,442,029,997,138,248,944,692,565,256,905,866,449,170,
196,188,438,437,502,499,044,168,032,680,341,012,176,701,046,632,575,679,079,
171,877,024,457,381,550,953,886,457,403,993,037,444,682,218,391,582,630,769,
190,809,473,902,468,682,015,741,433,026,800,199,830,039,270,565,002,158,505,
299,452,865,744,931,154,015,269,380,935,239,364,062,704,146,425,678,068,122,
401,245,758,549,890,077,428,390,271,481,706,044,376,635,080,317,811,525,805,
639,047,048,223,892,949,586,636,460,402,073,642,866,266,150,834,642,359,444,
578,468,990,168,405,406,898,364,624,498,741,538,924,025,554,382,608,762,019,
114,306,049,501,299,953,205,271,025,940,473,039,446,975,635,385,740,793,790,
049,865,459,118,581,954,474,688,275,502,166,277,999,373,390,534,779,950,415,
662,406,482,392,051,460,864,461,021,189,700,891,124,509,171,194,558,103,344,
475,349,784,272,975,383,568,006,318,828,129,544,559,390,259,244,453,554,815,
645,578,551,271,760,328,350,055,491,253,028,415,376,618,519,124,763,227,239,
416,897,892,979,084,362,187,485,090,742,285,815,225,819,335,634,984,708,848,
169,950,730,176,154,912,978,643,596,062,426,614,499,165,527,929,780,885,282,
422,522,921,163,589,401,418,157,130,209,755,042,220,514,607,209,841,996,164,
903,361,335,441,258,177,457,033,265,067,897,872,547,023,573,889,900,572,446,
191,389,297,767,956,639,212,997,895,189,659,435,348,665,143,410,763,688,714,
414,157,043,748,414,679,753,256,719,611,148,864,980,047,334,131,382,255,531,
315,923,502,301,342,715,050,314,891,655,669,208,174,462,463,929,283,384,252,
890,376,976,878,885,031,766,786,678,977,193,814,708,915,771,382,065,610,745,
056,751,241,163,201,486,432,474,398,762,239,314,623,602,853,712,370,292,645,
637,571,742,313,485,707,340,398,669,573,689,835,013,656,656,293,868,891,664,
682,224,100,410,003,309,858,436,910,761,870,400,660,438,627,165,890,610,346,
500,405,358,381,478,830,959,263,447,163,353,830,686,829,008,922,621,450,603,
397,509,847,432,844,470,650,979,380,820,909,453,342,002,302,160,153,188,489,
848,783,543,325,396,683,435,190,151,763,041,010,032,932,813,741,241,533,341,
172,805,071,369,544,356,021,045,374,458,019,243,756,584,331,596,141,546,200,
790,563,732,738,817,500,502,192,380,156,107,426,003,894,662,003,834,103,055,
194,402,034,432,951,138,433,393,852,917,615,636,682,428,591,850,175,955,420,
182,586,180,827,177,031,839,854,878,959,587,554,294,562,525,657,110,483,084,
216,374,244,843,972,093,476,038,841,461,335,983,514,441,906,713,972,227,869,
070,252,925,236,180,303,378,338,969,159,998,549,963,896,265,319,221,287,591,
668,272,796,936,584,076,935,531,817,103,856,562,468,027,754,893,393,159,155,
967,841,275,228,366,888,795,360,493,152,106,567,338,368,359,304,823,955,294,
689,637,056,449,938,685,844,603,735,250,489,387,664,466,346,931,108,582,236,
213,725,997,844,286,191,482,794,998,344,583,051,806,719,289,920,257,540,079,
674,708,118,817,135,820,121,360,575,774,976,208,057,438,753,237,733,973,637,
336,056,726,307,318,669,842,412,038,883,286,725,014,335,650,847,911,566,598,
694,383,938,967,977,790,836,188,769,453,250,049,015,433,640,937,542,394,539,
017,371,046,620,168,722,606,831,668,386,700,206,533,174,180,176,429,415,131,
343,625,377,327,007,435,844,379,041,057,626,290,726,994,034,925,060,269,112,
012,033,495,725,227,133,204,545,005,432,816,256,597,831,367,268,064,926,063,
302,673,405,072,309,612,094,479,013,430,514,511,199,315,501,509,977,782,310,
923,522,455,539,863,519,131,431,830,651,004,446,747,474,307,345,584,844,010,
142,506,991,689,889,206,348,964,637,110,708,204,297,256,213,579,813,435,630,
038,024,346,547,456,149,933,676,211,464,682,675,307,284,970,209,145,045,473,
391,669,471,899,610,291,047,249,162,862,604,750,185,623,742,822,855,735,777,
109,901,789,361,934,847,762,312,064,251,863,731,421,143,435,875,065,030,624,
813,705,125,568,106,255,672,835,347,776,847,275,160,729,722,510,453,374,492,
100,223,027,208,194,734,992,907,613,237,873,128,442,515,879,520,525,429,750,
916,117,010,777,308,736,987,564,019,917,133,260,736,710,145,395,168,960,866,
068,873,243,205,635,076,079,735,170,258,623,610,505,386,058,214,419,391,204,
068,710,582,454,218,958,304,748,166,383,288,788,302,763,047,050,493,517,339,
358,406,205,231,219,045,382,167,721,496,111,542,308,542,074,345,014,764,996,
375,978,105,811,894,056,262,357,183,724,743,831,427,517,035,794,454,364,054,
077,708,307,165,794,096,782,373,824,595,512,740,906,925,372,691,826,458,531,
387,358,353,968,652,824,718,251,692,649,409,780,419,070,137,504,021,098,823,
840,101,382,775,100,138,893,991,781,067,476,811,496,998,735,002,613,219,822,
124,395,498,158,203,782,867,731,365,829,163,299,782,980,913,559,250,636,322,
919,373,004,381,288,073,831,069,483,113,236,157,606,999,113,834,237,169,445,
366,003,876,093,952,652,100,280,937,421,412,982,893,807,127,196,492,717,555,
742,653,054,754,086,631,578,242,457,301,601,581,545,913,409,586,681,156,662,
634,686,293,330,389,278,961,870,409,421,330,900,784,933,560,387,393,510,147,
305,261,419,423,275,141,025,361,453,136,491,799,046,211,083,222,475,342,207,
817,748,231,730,678,315,255,415,751,361,765,029,393,077,794,741,441,226,627,
346,808,148,016,844,207,866,950,024,322,590,180,012,949,103,781,147,264,383,
501,778,700,372,495,921,318,011,233,042,078,663,284,805,112,328,980,976,695,
947,258,702,141,847,303,520,159,170,773,923,438,356,665,680,418,815,669,655,
060,001,463,760,119,878,769,810,602,499,906,935,209,566,712,653,064,651,373,
368,324,290,924,275,967,253,187,859,115,775,484,550,956,192,671,530,753,263,
242,824,630,954,744,272,413,326,182,988,422,751,049,105,683,947,360,556,248,
228,083,295,556,434,381,194,996,032,264,773,013,153,823,705,645,003,828,230,
027,030,038,885,603,649,626,764,738,437,354,193,961,675,177,788,769,436,344,
430,750,812,649,859,205,979,924,384,052,264,634,235,702,345,740,793,205,889,
574,186,469,954,116,747,921,929,300,078,613,407,819,257,135,574,476,142,083,
585,461,180,969,085,907,632,669,471,815,748,092,635,077,800,146,558,341,058,
332,284,498,025,055,517,553,369,130,293,421,641,778,428,707,151,068,906,296,
731,381,366,201,146,492,506,646,183,654,031,888,550,325,015,143,632,693,879,
539,235,720,548,528,765,637,034,462,587,910,844,562,736,627,245,425,357,369,
754,984,561,072,288,160,955,656,034,911,093,074,801,293,940,294,690,715,553,
191,211,600,379,952,937,206,529,817,219,666,029,278,727,943,142,922,523,756,
016,870,554,666,407,829,780,894,604,813,048,421,144,076,045,772,462,479,179,
666,338,484,933,408,778,168,385,029,558,381,153,684,618,405,851,930,340,324,
097,521,659,926,609,861,097,508,575,061,726,479,266,356,782,027,963,380,452,
292,077,558,139,812,961,181,894,098,833,996,397,393,922,481,660,072,607,680,
743,290,010,399,955,440,043,046,055,970,649,095,177,207,325,316,395,038,925,
256,370,818,076,791,428,413,389,936,478,811,909,921,937,846,512,678,846,640,
532,962,032,461,496,867,032,900,336,980,547,708,586,135,138,308,405,515,796,
741,616,885,684,618,421,702,613,408,320,795,395,916,402,438,262,630,288,892,
389,920,504,529,873,840,805,389,440,433,534,620,090,962,935,623,390,636,494,
589,959,153,845,065,045,339,656,942,113,008,870,527,406,349,522,514,611,233,
761,454,471,206,788,351,005,644,995,291,924,922,348,338,450,369,958,425,683,
320,417,095,334,629,350,806,119,097,520,231,493,101,369,077,502,271,047,526,
791,650,860,832,862,710,866,615,630,321,133,265,983,605,488,027,275,539,186,
172,181,302,983,367,875,866,514,619,659,554,635,391,523,977,316,602,275,115,
498,891,407,289,217,577,327,496,357,335,948,804,699,204,835,018,737,483,925,
241,857,320,554,148,773,694,983,604,182,602,507,328,778,848,255,908,397,696,
762,299,614,276,970,573,631,363,587,220,130,993,282,678,696,626,870,007,259,
345,873,642,680,375,861,086,416,701,701,686,343,250,753,707,822,782,634,184,
295,733,117,010,910,482,756,679,095,040,278,543,277,426,787,918,522,154,424,
560,175,881,433,166,647,809,037,868,881,732,609,725,607,226,751,914,947,089,
748,495,791,612,245,600,820,586,539,761,591,932,446,254,730,480,181,074,998,
894,778,464,375,002,546,992,746,007,035,475,439,295,278,036,353,962,927,753,
769,591,693,689,423,942,055,336,076,825,853,750,148,441,745,770,578,496,327,
595,503,100,279,915,027,960,095,847,758,447,914,409,866,352,401,029,800,042,
331,333,976,919,915,183,000,137,305,157,996,489,738,777,843,403,744,689,918,
554,606,298,389,221,196,649,334,233,701,535,176,493,809,671,372,951,913,061,
134,938,513,234,989,173,966,144,381,492,548,480,052,079,268,681,701,728,418,
030,483,745,855,356,199,903,962,287,747,085,204,442,223,975,557,568,460,273,
275,647,361,858,427,604,536,625,087,096,655,213,170,723,135,120,289,937,048,
014,318,454,251,137,702,567,429,199,981,880,319,823,721,066,217,875,044,691,
920,995,965,268,029,370,844,399,790,541,113,603,496,793,043,934,873,210,382,
490,008,244,154,496,680,060,208,208,803,934,887,045,739,817,450,353,429,096,
059,862,833,498,247,604,367,304,686,048,904,988,613,143,432,005,885,299,560,
035,583,550,122,658,734,873,005,069,948,836,920,721,566,952,360,998,490,870,
527,978,040,012,444,120,519,758,656,427,971,171,482,166,858,350,457,114,126,
859,072,884,357,771,692,035,358,616,907,179,939,558,503,118,010,308,764,191,
393,449,259,804,017,633,703,429,095,678,975,360,699,856,514,156,020,057,997,
872,467,816,670,281,862,817,824,206,624,649,483,978,049,311,490,099,408,661,
386,989,864,760,363,348,244,417,985,367,234,031,200,382,570,593,513,546,155,
229,840,057,372,605,056,158,599,044,922,798,338,423,686,326,646,683,768,707,
184,696,886,216,055,221,186,175,056,076,521,623,666,928,926,004,192,999,568,
480,531,582,464,487,596,649,178,465,115,759,348,280,868,093,251,812,758,113,
982,714,962,307,085,022,688,034,077,914,278,759,098,446,193,135,956,545,344,
192,203,072,740,037,693,989,745,506,408,364,833,124,478,509,886,759,829,839,
482,070,457,199,989,704,235,765,535,821,601,919,021,770,767,362,115,631,854,
025,678,312,008,957,340,504,737,872,839,014,561,048,230,764,390,277,477,868,
998,991,407,584,619,651,437,257,693,442,018,996,164,701,730,905,652,203,597,
290,481,970,275,894,751,801,562,676,095,267,230,055,183,387,637,482,929,803,
304,124,318,161,607,993,133,240,233,473,544,433,328,688,632,293,337,593,606,
478,834,720,049,821,506,309,621,431,043,244,075,072,378,609,570,003,878,703,
494,243,860,121,385,756,567,094,542,767,325,554,017,616,348,805,551,419,908,
598,260,191,998,040,725,004,317,797,255,070,357,018,673,901,115,882,209,266,
228,371,573,163,726,493,608,686,722,624,677,204,370,973,560,621,543,667,253,
579,722,183,547,097,597,232,671,429,006,169,952,737,296,600,297,911,541,980,
176,749,387,479,170,173,222,908,786,430,251,534,010,468,737,269,072,105,205,
440,986,165,749,254,142,885,324,207,265,501,883,678,697,289,862,352,704,567,
440,690,527,347,734,857,903,549,191,404,158,970,704,714,191,898,390,608,432,
986,684,882,454,050,599,250,321,476,991,032,277,432,205,024,171,667,115,698,
093,577,166,018,114,079,048,712,200,324,210,581,901,934,809,578,908,159,550,
879,419,040,773,866,962,933,105,436,562,447,310,146,202,525,576,158,717,991,
390,915,722,204,139,963,677,113,752,707,326,189,667,443,820,743,407,934,726,
945,296,526,383,166,946,602,142,984,909,504,327,412,976,645,371,059,176,740,
712,439,054,400,617,207,366,716,030,169,042,044,468,704,072,609,381,140,189,
361,550,762,642,413,387,577,023,640,588,215,921,087,860,654,457,132,271,940,
301,795,059,379,558,070,723,909,451,969,405,665,489,844,067,296,155,362,629,
462,974,716,607,698,746,031,470,506,121,594,790,937,229,615,037,692,490,012,
180,762,649,363,302,035,129,303,401,902,341,678,168,720,986,433,862,352,786,
851,565,854,283,312,664,529,727,806,745,514,654,393,166,060,406,820,364,747,
673,510,573,900,237,758,202,090,870,296,192,937,690,618,065,002,192,461,127,
597,531,832,504,959,805,063,321,026,354,953,499,346,256,631,222,847,732,629,
964,802,260,011,891,449,613,250,991,631,633,551,970,836,942,613,607,748,747,
464,101,344,606,212,429,273,852,506,394,382,617,602,110,304,051,478,187,986,
368,763,796,295,872,743,603,995,037,025,059,171,380,003,243,835,883,168,243,
162,569,352,351,834,001,834,655,736,401,025,954,819,145,136,128,524,978,636,
618,509,732,743,478,487,038,568,611,516,234,662,937,684,252,680,596,125,672,
053,144,532,751,360,961,100,672,990,770,085,321,475,113,715,328,418,701,545,
349,454,950,210,951,935,507,521,793,722,981,758,715,224,651,468,605,272,911,
977,235,977,565,573,328,914,272,334,446,977,850,934,895,988,372,913,820,621,
086,116,675,352,027,192,000,712,921,423,265,882,695,482,406,527,509,443,750,
311,874,809,682,806,558,118,984,528,682,606,009,449,555,599,406,541,131,776,
024,638,281,903,479,117,659,489,514,508,847,006,874,403,079,106,663,161,691,
840,992,858,232,798,749,842,180,281,427,402,384,271,209,466,167,330,688,276,
479,144,827,335,767,741,434,580,432,628,845,710,630,430,536,720,251,854,064,
575,729,439,468,527,210,795,080,388,521,825,245,391,226,435,051,626,372,445,
185,837,619,272,770,118,278,889,749,966,462,066,119,036,220,141,204,459,724,
201,510,237,367,763,146,634,280,120,177,749,547,229,295,707,211,780,118,193,
346,184,470,181,267,259,762,418,224,332,396,682,138,321,633,162,970,838,929,
841,520,823,238,318,026,311,005,347,408,773,744,139,184,086,670,336,311,570,
980,045,994,703,204,124,640,181,786,800,066,866,744,276,297,533,150,490,186,
041,639,991,531,667,595,837,839,411,490,696,796,619,026,576,456,132,614,353,
234,227,356,358,174,510,345,288,184,433,183,058,641,088,827,791,088,819,560,
392,931,321,106,508,248,665,677,328,513,854,448,569,013,397,423,344,149,037,
733,308,362,530,606,944,822,542,124,458,983,462,052,655,369,620,373,712,986,
365,994,277,612,557,880,921,185,193,939,655,531,983,898,283,060,345,056,417,
174,916,108,222,065,841,684,193,668,045,065,688,789,019,860,448,421,447,026,
909,850,366,789,514,577,437,838,415,961,866,405,801,849,185,698,835,166,745,
977,512,352,495,193,076,995,995,897,335,842,535,460,208,916,141,980,460,486,
787,759,350,407,706,465,296,772,768,131,510,682,761,948,929,533,660,258,288,
995,347,780,966,731,403,333,777,752,387,363,992,443,746,491,117,876,035,304,
332,088,396,567,562,079,157,879,666,316,726,706,511,460,862,841,558,034,072,
343,665,985,801,068,095,740,486,201,274,328,051,695,194,105,370,138,348,755,
818,149,292,894,301,715,687,702,537,717,725,505,995,304,217,353,015,980,748,
320,265,011,047,465,700,348,685,574,745,971,722,608,619,231,864,344,533,700,
943,279,722,078,611,761,979,420,726,244,029,426,031,624,614,039,107,424,240,
642,370,545,197,271,912,335,592,396,419,788,103,265,907,871,817,111,656,747,
051,076,670,573,148,078,436,357,689,105,788,344,450,109,422,967,852,630,062,
323,605,838,870,082,898,137,181,628,980,995,248,991,047,542,608,613,528,517,
892,703,260,397,838,022,788,843,658,495,678,601,116,947,030,610,185,105,513,
676,280,971,760,651,810,390,975,751,246,436,142,254,721,009,133,931,043,829,
981,562,414,684,861,228,259,984,090,831,672,766,279,162,124,559,003,227,695,
861,769,455,955,067,875,374,276,826,712,925,640,218,926,673,208,900,103,631,
352,666,513,243,704,954,759,486,269,223,399,919,484,739,368,152,542,943,364,
254,681,958,504,624,553,871,102,363,586,712,928,656,530,373,528,756,725,399,
632,827,145,598,530,174,929,462,731,928,692,266,864,144,105,406,859,829,692,
601,978,787,794,635,066,781,315,330,641,472,965,837,087,564,479,161,188,865,
770,503,354,477,753,984,506,280,557,537,809,136,928,859,972,993,476,331,930,
771,115,828,107,268,233,450,464,868,896,880,325,457,114,957,940,259,967,832,
646,740,338,055,241,631,470,070,090,895,087,109,217,456,700,451,448,482,517,
706,902,944,745,742,205,479,642,498,455,429,217,701,836,120,004,965,391,947,
743,499,743,381,242,938,809,197,280,669,653,136,942,682,361,046,989,636,340,
652,514,879,430,944,047,952,527,599,630,215,983,085,536,107,350,744,845,619,
974,515,378,446,635,966,727,920,756,305,258,045,313,922,718,294,143,745,067,
256,318,300,711,512,574,940,925,367,004,671,278,555,456,660,789,363,281,117,
863,481,560,153,488,237,517,976,976,569,397,199,378,793,777,342,799,806,294,
811,271,550,424,137,485,995,963,187,804,604,545,275,594,949,090,473,939,017,
015,985,741,409,275,384,692,776,597,056,624,091,502,970,034,244,093,845,774,
970,929,912,474,653,404,388,581,370,028,230,277,445,109,749,635,681,418,435,
620,237,423,974,582,639,524,500,842,835,010,368,402,254,493,222,291,550,632,
145,630,802,547,007,594,300,742,651,317,173,926,333,644,471,963,095,277,462,
330,290,444,904,939,775,571,247,628,308,927,170,562,611,989,001,320,421,848,
532,974,867,791,532,997,037,117,178,614,935,286,430,697,173,238,727,185,447,
167,096,871,064,634,079,750,454,019,174,172,936,755,671,282,592,551,754,481,
496,261,412,885,985,688,071,000,940,380,809,312,154,445,936,751,840,673,660,
628,737,479,571,092,712,840,427,440,877,757,344,242,714,321,778,631,420,705,
378,305,980,490,945,930,841,280,355,553,836,345,132,810,450,476,772,579,843,
141,456,872,699,660,419,320,536,605,442,752,675,744,433,487,248,096,788,159,
673,599,705,703,340,610,545,208,799,712,751,167,226,838,128,910,789,465,056,
809,741,110,942,312,522,024,106,534,044,714,759,223,453,121,731,716,890,413,
879,646,691,029,717,828,760,309,769,633,743,218,688,565,900,356,601,791,416,
411,126,183,772,127,032,213,664,182,915,912,599,461,208,885,662,052,475,581,
831,858,338,119,108,788,880,347,476,483,885,935,975,754,736,117,027,121,298,
955,388,731,772,880,261,280,563,859,349,233,559,062,870,322,281,791,439,794,
539,923,355,732,089,757,082,576,829,153,700,422,184,846,824,460,805,929,265,
603,661,241,376,776,602,087,880,039,167,523,339,663,642,294,841,177,961,772,
404,613,018,268,145,648,334,480,873,058,215,370,785,690,775,018,825,801,161,
120,433,506,934,813,358,064,194,062,916,283,767,237,498,198,948,334,803,602,
657,354,754,791,974,785,007,424,255,014,659,745,544,462,030,346,665,695,870,
624,609,543,913,246,082,975,446,244,167,730,658,702,175,581,047,167,963,993,
301,978,457,160,654,116,770,386,037,463,129,010,652,451,122,510,580,019,408,
236,058,187,674,458,446,816,377,244,735,970,726,255,917,967,753,218,436,681,
969,855,406,690,674,206,065,097,052,256,865,276,072,076,915,390,061,126,533,
485,881,051,634,685,465,646,006,736,913,211,427,276,023,822,520,386,898,080,
655,897,938,315,417,867,715,180,502,138,705,430,953,402,202,266,548,585,320,
637,298,228,391,194,274,451,491,552,292,685,097,813,841,106,715,471,890,940,
717,990,753,276,870,485,719,091,446,562,162,480,135,637,444,007,935,377,456,
524,495,873,539,866,760,123,139,891,418,057,914,403,966,570,788,687,782,138,
065,169,507,171,415,929,917,559,747,655,072,799,806,663,089,880,485,023,250,
601,825,004,911,869,992,383,745,586,289,927,854,806,651,376,398,530,297,859,
754,711,725,935,025,485,250,641,217,412,417,648,896,872,389,997,633,954,646,
967,682,896,480,521,282,750,787,246,326,871,806,462,266,475,167,556,356,755,
742,951,792,638,626,582,463,075,105,203,712,032,936,888,078,988,959,976,460,
879,872,832,903,806,403,403,953,234,704,634,715,148,165,031,969,049,887,623,
426,813,383,122,274,604,180,483,544,823,425,719,730,738,537,437,641,388,822,
500,754,605,638,103,229,407,763,956,596,594,471,591,866,047,348,201,682,415,
590,116,037,482,164,881,614,926,812,946,204,870,412,019,789,485,292,605,166,
798,420,825,685,779,821,618,965,337,670,904,858,475,766,357,778,079,371,347,
794,756,394,299,207,972,349,089,252,761,024,515,488,251,800,728,933,529,967,
413,989,909,448,411,411,791,492,424,456,948,865,755,341,466,321,497,083,767,
637,820,876,859,531,304,650,265,076,200,770,177,959,788,095,697,241,249,320,
103,493,140,375,521,079,667,045,877,627,008,989,405,645,269,802,521,898,791,
662,694,649,234,813,975,514,819,668,114,386,720,214,768,891,274,762,988,637,
518,403,671,876,763,388,826,244,075,693,821,907,243,999,840,231,663,273,446,
400,420,533,722,052,941,112,511,091,624,060,216,991,221,711,519,065,917,154,
747,295,834,953,619,285,963,163,112,121,031,844,948,484,109,890,968,492,243,
154,408,441,345,786,166,026,586,627,607,418,865,370,152,320,599,188,644,064,
127,220,390,911,331,882,868,180,468,727,930,269,029,814,760,550,851,233,644,
236,995,831,964,862,067,930,545,075,831,353,906,701,258,685,012,745,312,965,
219,080,033,569,756,542,385,456,694,723,314,804,252,345,715,871,913,002,207,
238,979,020,163,188,717,513,311,421,104,376,995,882,121,157,411,992,187,822,
320,515,424,818,749,966,635,012,797,626,161,968,435,295,110,478,333,619,307,
326,375,768,393,456,642,543,853,524,066,104,909,549,910,517,017,972,221,407,
623,589,737,059,390,856,635,340,785,007,392,961,763,210,149,512,368,396,091,
526,066,944,154,154,109,833,014,410,152,450,588,039,167,613,725,427,089,082,
296,431,906,224,056,639,725,687,351,492,207,278,069,788,445,666,060,548,139,
246,727,319,713,541,245,013,150,982,529,739,988,381,017,853,976,850,253,514,
123,326,196,332,773,625,644,134,742,149,476,974,497,483,150,727,470,401,772,
039,708,453,009,523,609,835,183,994,823,221,270,836,896,641,090,565,578,138,
586,330,748,736,697,494,775,792,411,524,923,029,765,659,173,919,328,451,730,
835,665,292,431,483,311,961,718,093,422,775,745,220,129,151,971,415,090,637,
887,685,436,306,415,417,932,316,361,065,850,482,780,647,961,698,968,521,656,
674,769,074,823,700,361,408,096,383,093,108,574,465,430,448,689,073,393,611,
933,203,734,690,033,875,390,275,452,059,919,647,418,099,259,322,383,448,385,
630,162,586,981,574,474,720,804,293,260,263,116,426,243,181,777,148,615,101,
304,178,453,814,670,943,503,389,076,981,792,922,663,543,472,194,911,922,646,
034,257,280,092,184,592,567,391,974,987,767,646,419,740,453,303,772,114,377,
709,093,206,745,143,273,427,630,356,409,822,226,991,390,092,621,172,361,691,
488,306,734,416,339,470,455,126,576,497,552,732,442,095,641,719,140,977,511,
162,608,356,272,034,175,786,091,631,930,826,924,520,389,630,839,254,451,687,
452,890,114,790,526,786,366,323,522,240,095,238,021,870,185,369,417,985,185,
610,266,904,989,543,574,622,571,179,527,983,923,451,615,138,214,444,641,419,
855,656,363,613,630,816,480,464,604,874,675,008,349,694,570,972,765,827,183,
590,838,225,925,582,832,095,161,567,355,770,227,813,675,195,631,301,786,113,
235,754,659,938,797,431,893,519,812,033,978,508,043,258,317,654,018,753,503,
136,096,971,956,057,088,909,938,629,556,353,572,374,730,036,011,880,976,426,
941,888,537,761,793,155,544,930,467,941,309,761,880,895,361,259,931,910,300,
015,443,587,512,677,114,927,585,019,287,041,037,173,249,170,897,693,897,913,
463,065,630,109,083,885,302,133,650,561,739,750,105,068,130,334,796,146,112,
358,085,540,245,054,006,372,296,707,533,206,953,175,318,511,528,789,417,527,
725,195,000,003,228,603,492,922,422,416,287,523,871,530,735,794,112,741,054,
265,400,667,039,249,765,021,775,574,037,494,732,667,231,555,289,305,929,016,
273,354,087,907,873,976,652,954,661,304,681,776,205,478,234,505,598,285,971,
538,046,201,529,526,532,164,811,841,605,646,631,809,989,797,596,999,631,083,
292,791,189,832,643,533,413,813,098,039,109,920,603,109,516,813,488,580,480,
243,815,754,281,838,596,056,549,869,737,265,137,646,228,661,262,622,696,432,
209,891,159,040,441,208,582,111,068,850,803,612,066,765,259,138,359,533,966,
097,871,524,081,473,646,639,345,326,724,250,552,734,219,577,487,278,270,470,
009,054,785,620,721,972,944,130,415,655,437,190,056,835,941,562,570,410,734,
786,755,915,241,721,825,169,804,935,356,312,012,627,726,015,670,970,216,344,
987,858,678,170,244,045,237,000,158,356,743,371,932,440,571,097,610,327,471,
163,129,256,693,268,108,959,381,273,021,695,326,378,562,524,406,536,527,334,
565,930,033,963,401,688,499,687,079,301,381,087,920,275,035,340,623,626,408,
730,656,433,029,704,873,885,893,799,511,006,775,009,822,480,366,563,920,871,
484,276,582,194,357,177,167,105,359,733,935,115,818,729,031,923,252,164,662,
683,431,001,491,975,063,675,253,035,420,385,178,481,204,896,818,183,530,116,
581,994,184,312,126,383,366,887,251,768,290,083,290,926,840,726,540,961,458,
675,077,688,268,104,555,181,186,175,483,486,151,372,714,760,273,352,306,215,
108,806,885,770,857,769,707,093,451,213,410,568,638,182,261,196,454,869,859,
181,497,302,931,019,759,537,882,219,581,029,086,317,326,541,694,639,014,749,
266,259,217,376,367,236,799,721,680,717,476,963,461,747,207,864,981,903,189,
700,335,964,161,212,669,431,037,898,110,356,579,518,701,662,914,741,595,473,
365,494,376,970,993,560,663,994,169,824,406,174,587,111,867,728,214,808,185,
299,086,967,865,417,895,051,664,442,646,418,345,124,701,416,600,799,056,905,
848,653,030,698,192,563,449,137,644,060,303,193,550,429,779,726,626,614,136,
931,253,628,569,738,801,348,738,435,756,085,860,934,318,305,223,756,851,823,
565,031,202,479,957,959,920,577,380,854,900,576,391,303,020,238,701,373,005,
164,698,137,628,400,571,787,983,889,389,717,451,029,628,528,346,059,460,762,
844,379,709,399,849,927,239,199,019,611,636,079,000,445,869,219,502,201,504,
508,120,629,389,075,229,726,666,845,358,121,244,623,377,474,310,993,785,864,
149,981,428,284,071,973,090,720,931,559,119,950,714,311,540,124,840,466,284,
201,599,124,242,003,357,801,266,738,978,291,503,933,551,320,733,057,222,433,
187,217,880,435,909,257,927,274,715,053,148,660,270,824,017,195,927,598,206,
886,858,259,704,983,049,518,078,998,067,095,209,700,694,991,316,570,977,508,
435,900,497,049,297,343,588,452,175,824,284,993,119,626,034,993,004,259,747,
578,169,156,937,227,827,201,232,209,165,356,915,947,115,727,170,101,402,016,
886,548,529,908,820,631,543,823,536,751,031,367,447,769,532,823,799,398,609,
104,214,368,362,681,070,012,340,846,971,157,848,839,056,518,809,594,854,667,
935,959,275,755,489,781,666,596,170,769,786,943,995,010,533,337,549,830,666,
249,198,400,135,529,662,715,280,471,556,993,381,653,232,267,418,249,505,804,
871,417,227,591,254,719,504,003,034,097,876,311,971,996,676,381,396,698,799,
737,333,066,520,862,479,249,187,516,083,060,966,093,569,622,279,524,548,214,
394,112,470,066,633,265,000,246,818,098,578,601,050,219,370,903,602,366,315,
182,183,655,884,448,577,001,167,834,816,577,055,427,829,454,151,320,547,228,
654,769,114,177,979,655,395,589,445,115,296,109,995,911,171,958,989,846,843,
001,883,165,147,312,104,874,009,091,793,147,005,400,598,913,947,660,746,518,
953,233,769,041,615,388,917,909,998,597,552,109,995,835,408,378,994,469,111,
385,161,905,719,097,661,936,662,779,539,722,830,357,466,894,114,406,453,751,
695,316,882,496,020,029,319,908,789,895,458,967,161,635,239,600,009,500,913,
084,879,613,633,834,652,569,648,247,765,885,875,158,579,524,635,448,675,779,
631,712,579,358,528,848,556,956,831,945,318,127,440,040,290,893,008,409,453,
643,323,626,281,381,723,898,991,043,289,592,415,236,620,645,351,339,150,340,
410,575,746,978,059,668,451,080,959,982,231,097,798,976,287,886,675,486,968,
097,141,226,389,166,471,037,625,919,115,415,985,907,283,523,223,628,296,520,
958,274,613,993,796,599,132,220,599,556,677,211,823,810,349,918,293,637,901,
446,945,352,614,755,310,411,707,890,628,429,896,846,193,724,171,256,905,344,
885,552,277,119,151,123,758,720,513,908,794,403,469,072,478,156,833,626,977,
591,745,878,880,318,787,818,789,003,532,301,507,525,488,446,902,018,655,742,
689,481,767,387,978,446,134,422,086,828,467,031,621,302,653,680,099,706,829,
882,548,070,751,647,930,522,647,922,911,160,407,722,025,288,735,562,353,417,
340,827,204,638,976,188,399,712,573,359,739,937,387,890,299,592,380,728,788,
809,426,611,433,644,049,067,710,833,613,521,705,028,142,367,924,278,187,313,
313,692,449,901,630,015,176,185,091,329,091,863,056,176,882,906,556,855,940,
178,291,636,318,039,648,716,826,950,085,358,644,327,860,284,773,172,046,728,
474,980,735,945,094,692,828,433,110,226,404,362,992,710,006,276,264,918,815,
844,341,496,033,281,328,517,946,541,367,799,411,769,503,737,482,628,396,657,
537,959,652,143,638,663,815,841,451,089,560,475,310,747,378,068,562,258,764,
536,731,275,882,217,750,697,172,194,166,538,720,255,248,039,504,869,554,145,
248,481,092,275,593,174,015,365,422,087,890,507,995,306,939,571,737,058,320,
609,027,124,185,497,425,403,531,519,863,332,315,444,669,275,541,893,547,127,
727,787,707,538,058,889,456,435,757,077,919,229,791,849,150,567,387,278,824,
497,153,212,889,755,478,686,537,563,765,465,402,211,580,068,564,437,264,219,
689,199,644,123,749,147,365,440,365,749,607,326,567,807,410,253,336,005,627,
002,914,339,041,174,433,266,050,259,515,084,277,271,841,360,717,701,782,804,
228,334,339,013,308,670,806,852,768,168,147,877,247,664,071,695,765,249,975,
278,969,393,677,310,589,996,084,080,664,185,943,380,029,018,885,769,747,437,
574,083,011,474,759,990,187,301,278,603,793,670,945,813,606,604,037,923,151,
203,233,852,725,200,071,618,472,648,424,748,598,326,096,185,271,984,480,422,
295,751,525,082,847,132,622,520,398,846,833,899,556,958,275,209,800,231,270,
580,962,536,425,522,547,106,341,592,678,584,649,151,979,002,751,845,642,851,
880,431,595,821,251,234,648,213,708,033,609,404,226,305,529,941,535,264,136,
050,028,047,096,875,951,357,547,982,100,905,456,223,208,917,245,670,313,902,
371,754,384,576,578,882,941,750,194,309,534,536,625,290,455,660,639,839,746,
711,612,830,351,043,015,530,273,975,705,612,374,451,341,331,588,780,437,889,
868,664,113,752,824,669,884,192,468,081,366,534,476,332,224,021,912,894,055,
941,540,136,062,175,373,691,642,335,665,330,112,798,716,053,737,591,273,850,
019,341,176,664,415,612,938,432,504,777,736,890,030,139,514,989,648,741,178,
736,277,565,990,636,997,639,231,844,828,585,928,819,416,495,732,669,349,900,
306,240,408,322,439,722,520,724,069,468,530,888,558,267,072,755,769,622,176,
798,475,917,852,055,428,693,347,509,688,772,656,779,069,195,163,518,072,438,
580,060,463,803,881,251,300,249,155,187,220,372,081,433,264,010,175,393,836,
516,655,484,550,825,891,318,319,147,770,419,870,946,759,486,180,308,233,603,
460,486,993,888,838,467,997,866,216,687,855,528,650,635,095,540,426,568,116,
462,434,993,470,201,318,474,081,254,666,498,164,808,168,186,863,654,487,211,
595,809,089,950,191,165,870,602,905,642,927,726,377,304,667,825,998,487,398,
012,937,785,018,621,689,874,995,053,494,344,062,386,757,500,265,434,515,688,
999,510,824,412,758,158,821,903,655,011,653,100,988,592,077,525,233,340,850,
668,126,652,789,321,944,678,350,116,888,559,550,553,234,758,919,756,902,993,
084,325,893,430,439,259,091,408,122,825,577,223,576,617,562,361,460,405,635,
565,062,860,493,230,011,608,507,630,597,613,994,440,345,692,765,467,705,532,
253,536,113,965,742,425,462,755,778,747,803,296,889,615,432,773,449,534,633,
896,885,079,046,569,716,150,449,551,253,572,161,418,258,801,173,123,015,529,
986,821,712,615,826,136,601,223,668,218,159,994,486,004,922,822,650,619,457,
745,344,986,421,344,395,302,110,168,419,715,653,530,906,567,370,022,752,805,
586,080,130,959,951,610,194,561,099,941,049,201,502,682,199,704,432,965,085,
111,842,221,951,222,992,102,577,255,278,301,831,032,127,165,920,376,369,465,
484,941,252,611,657,382,148,329,941,001,458,278,920,984,121,861,667,712,807,
377,701,734,455,851,797,073,094,882,106,257,105,324,926,591,994,288,072,657,
089,627,937,364,290,207,243,404,795,912,629,786,527,284,279,773,501,508,766,
777,017,230,138,811,781,382,254,845,020,730,434,768,294,011,616,907,653,583,
120,252,389,414,746,160,209,796,203,217,964,333,441,793,945,562,997,812,005,
279,229,769,283,050,200,224,658,540,885,271,856,441,606,849,071,778,904,885,
582,203,417,480,761,388,365,125,545,413,845,201,368,852,163,708,914,967,446,
504,514,430,024,828,041,996,580,543,011,895,214,156,268,120,319,251,912,934,
163,133,237,313,706,931,980,097,967,535,688,178,861,352,970,559,796,023,402,
711,465,638,582,323,518,341,323,078,512,007,454,342,574,107,446,178,388,482,
380,621,647,329,609,345,422,278,474,440,389,396,827,169,400,600,107,114,930,
650,177,312,498,019,330,931,335,579,506,811,445,170,262,028,206,718,218,389,
500,777,657,734,248,445,504,128,953,791,716,243,165,255,399,231,248,025,494,
184,153,522,404,803,790,701,723,759,218,189,129,522,408,337,079,766,726,309,
959,478,549,817,954,681,354,745,084,376,177,796,801,265,151,584,575,131,315,
205,582,793,744,804,758,195,786,363,474,613,916,242,837,212,480,869,596,180,
036,252,138,117,996,353,918,843,643,167,813,342,871,230,572,748,582,491,353,
117,093,681,229,670,246,071,700,349,696,680,844,784,126,242,433,536,643,407,
972,351,116,506,977,023,686,404,294,741,789,701,503,083,385,153,696,134,267,
506,579,162,941,489,544,473,746,843,297,420,204,483,530,020,065,249,929,523,
407,280,484,432,325,129,069,123,791,861,138,212,795,612,345,455,148,141,550,
768,642,454,708,282,617,943,312,720,888,603,948,213,099,118,608,918,171,415,
102,416,347,585,857,691,274,353,929,651,485,903,329,891,610,722,220,378,298,
451,262,311,377,803,259,102,619,030,395,183,862,555,220,063,829,592,765,058,
805,411,822,879,588,333,856,948,768,870,391,786,683,857,059,111,324,376,311,
328,028,179,058,526,042,499,595,364,316,525,865,706,930,963,234,630,721,058,
769,596,426,007,468,984,656,910,497,332,683,485,997,566,552,681,833,082,450,
038,776,702,821,022,835,661,999,815,643,254,674,619,921,116,074,332,810,516,
446,178,669,990,574,932,515,574,291,585,638,309,096,675,841,108,729,219,761,
090,218,786,480,129,872,120,759,480,100,971,498,459,318,590,379,530,852,060,
902,808,893,791,571,250,012,874,077,110,982,673,809,968,925,901,693,469,383,
204,102,818,289,556,925,864,446,672,771,307,007,259,552,052,184,203,403,409,
898,930,035,058,524,375,088,764,273,775,864,962,769,431,004,653,307,889,750,
380,780,010,380,027,627,303,015,374,960,822,350,665,865,558,629,831,698,572,
632,085,626,368,451,277,824,667,727,442,684,402,629,011,540,314,729,075,200,
975,151,634,070,961,523,697,797,481,512,409,818,753,584,449,358,790,520,986,
546,972,542,624,303,441,613,990,272,025,296,910,203,870,493,666,650,172,302,
042,242,542,474,355,996,473,841,255,592,142,642,904,202,996,574,651,165,886,
340,414,420,781,082,515,618,584,015,463,649,108,378,097,050,830,807,858,023,
935,033,800,681,488,107,762,921,983,211,978,981,245,472,467,432,691,214,836,
216,562,392,236,140,432,163,685,780,887,832,341,090,614,100,853,453,531,789,
175,441,414,502,092,474,349,942,325,230,478,586,382,888,094,111,528,661,122,
056,946,084,537,330,153,671,678,950,480,185,642,155,758,959,216,327,391,561,
297,953,349,423,700,527,283,664,741,314,968,348,854,786,257,401,943,589,624,
661,011,389,979,351,479,857,391,491,922,491,011,903,606,197,731,610,367,436,
061,513,911,042,739,174,135,056,885,014,040,179,299,642,622,554,550,084,146,
443,528,123,855,950,525,106,941,700,309,907,993,176,881,023,209,999,327,155,
970,119,823,260,839,225,933,016,611,002,157,444,358,306,449,361,841,462,671,
679,023,895,080,193,189,272,376,606,123,993,066,200,529,569,278,251,770,824,
486,107,074,931,401,101,475,671,469,694,067,348,335,053,888,538,401,225,509,
940,927,992,670,905,499,533,956,926,913,458,148,195,044,265,445,357,388,934,
302,979,831,759,884,434,246,327,626,239,341,923,353,002,267,988,796,533,225,
395,141,088,839,515,073,846,174,185,696,618,749,404,101,532,872,989,530,946,
046,169,328,885,330,212,579,392,785,679,315,294,084,664,009,260,105,724,605,
318,244,548,970,791,527,110,395,657,966,699,539,426,952,467,826,422,215,320,
635,543,512,093,384,574,991,361,542,212,617,961,711,781,757,172,544,141,830,
893,543,565,372,780,139,390,896,974,921,189,916,983,066,580,899,586,463,699,
468,869,102,687,984,180,472,497,064,089,438,166,622,629,542,939,701,756,083,
546,945,421,612,730,817,429,519,983,233,532,259,465,078,568,901,341,090,223,
753,677,013,263,684,504,933,764,802,916,326,862,831,050,042,109,794,579,532,
512,428,459,130,990,587,926,387,942,841,018,765,256,606,530,580,901,610,638,
098,844,085,360,127,434,050,654,598,191,383,203,360,962,188,299,157,015,139,
046,087,682,168,700,382,253,406,165,480,467,847,790,866,561,497,691,783,404,
591,999,648,260,322,871,119,219,293,362,141,045,281,742,460,748,798,916,680,
710,183,974,573,627,863,091,591,986,783,112,649,848,457,833,410,759,946,366,
182,410,882,738,899,332,265,129,916,186,449,551,921,270,738,573,715,377,689,
508,061,436,622,200,968,973,822,264,798,897,957,564,770,007,765,465,861,454,
458,399,015,849,953,205,502,485,545,388,323,588,435,295,243,351,113,638,176,
071,238,645,502,368,589,038,333,727,323,753,345,133,406,045,837,023,210,463,
105,486,048,356,976,740,418,372,720,335,489,737,600,052,574,314,644,290,817,
905,539,714,109,866,340,402,007,451,227,082,134,165,225,166,357,402,492,553,
108,970,924,761,198,750,618,944,507,729,503,933,099,878,049,627,122,696,966,
080,631,129,919,838,495,413,250,393,191,230,330,857,162,501,931,673,788,075,
634,942,400,873,923,031,076,362,478,589,216,702,209,800,324,186,028,277,820,
661,158,705,591,464,737,159,064,529,783,162,362,338,203,384,310,979,979,911,
102,289,691,943,884,464,254,541,252,939,056,110,765,345,928,472,858,392,269,
893,924,405,549,333,319,405,858,918,151,818,457,925,813,175,355,129,745,865,
581,314,133,219,355,913,432,436,464,420,475,018,544,737,673,094,062,572,478,
672,796,324,409,835,827,264,862,233,233,532,338,054,579,763,433,335,062,146,
451,805,784,751,202,120,917,673,356,246,635,299,541,352,875,766,556,970,124,
573,683,698,796,056,620,652,641,452,577,402,019,266,736,709,506,617,575,078,
636,511,861,379,150,118,064,099,925,294,943,208,706,799,371,766,305,027,557,
119,886,843,488,010,530,888,888,862,917,315,109,721,619,770,671,454,571,060,
521,623,735,493,139,192,711,841,828,145,585,897,759,568,328,262,351,132,902,
336,984,034,459,427,811,910,270,539,948,573,400,044,573,898,557,939,534,957,
144,401,441,575,817,327,356,112,694,000,001,604,803,406,892,179,821,689,544,
320,911,109,944,222,742,322,932,822,350,568,216,769,412,628,546,385,220,301,
038,051,586,193,819,257,083,379,389,673,147,772,843,456,486,793,544,023,127,
561,263,561,192,606,544,160,486,494,929,575,473,997,107,015,063,707,590,409,
095,192,057,409,934,436,657,365,079,023,010,061,642,965,726,718,950,841,408,
952,983,580,656,780,947,145,592,370,200,664,595,823,025,985,305,789,429,114,
843,522,648,578,163,944,411,913,246,335,540,934,030,292,830,082,777,369,883,
457,885,483,705,592,838,047,959,072,143,395,079,499,658,356,163,308,761,916,
542,419,477,196,937,736,106,090,662,964,774,393,873,811,006,667,703,159,076,
203,642,101,513,344,805,428,480,425,909,883,954,291,647,850,246,701,248,646,
871,159,979,719,906,764,615,314,648,568,546,796,780,099,564,790,941,272,281,
542,158,757,587,818,467,790,355,371,252,146,360,046,557,742,987,556,927,222,
904,959,010,417,896,332,054,639,704,444,629,816,802,297,491,622,842,749,160,
519,712,691,782,098,305,183,698,607,176,719,608,536,168,648,923,609,596,371,
111,663,248,476,163,919,309,120,427,041,947,722,546,643,214,821,097,360,944,
725,639,711,119,072,513,078,946,888,339,175,931,907,371,507,192,991,443,591,
774,434,791,226,008,730,954,690,094,837,519,873,753,112,762,319,746,449,382,
478,740,319,248,714,335,868,802,373,696,020,024,363,836,218,070,370,692,921,
644,291,914,416,187,320,852,618,213,437,915,994,720,274,107,977,961,470,851,
188,618,689,811,647,950,193,815,624,372,138,081,212,458,922,122,735,404,351,
515,656,956,918,597,706,168,679,036,497,305,696,148,827,388,090,913,845,704,
061,404,737,490,729,515,813,313,659,947,966,691,271,382,902,725,759,931,474,
273,052,163,062,068,893,234,552,683,019,342,897,039,702,717,205,706,610,882,
885,678,378,497,748,244,035,044,330,297,936,274,083,356,414,992,652,569,164,
769,272,360,587,381,788,646,191,854,155,847,799,472,786,695,030,450,384,064,
343,806,384,312,710,947,944,181,184,318,375,525,909,929,103,098,073,795,465,
970,546,885,408,082,978,306,725,275,259,954,333,986,764,736,891,789,107,543,
399,790,287,065,820,865,863,608,295,240,797,347,020,031,407,603,761,170,835,
857,429,460,270,035,760,482,791,789,435,044,104,250,281,992,518,813,168,814,
793,091,777,711,574,833,406,546,224,968,930,191,641,843,574,362,815,858,013,
421,878,107,837,093,422,509,941,536,236,055,861,059,885,266,308,464,687,253,
386,210,590,943,068,388,035,340,183,872,339,965,082,491,047,488,255,225,079,
538,366,832,236,901,453,932,352,513,879,574,154,872,317,282,661,505,889,663,
930,580,058,325,550,126,898,558,381,525,108,563,201,685,747,708,385,356,151,
249,654,825,732,149,233,869,383,910,715,550,267,407,438,985,460,404,198,149,
590,664,989,187,481,070,026,471,360,986,366,889,009,853,498,645,748,352,992,
790,090,590,262,873,710,560,164,817,568,834,168,105,054,250,003,979,826,848,
570,975,285,200,548,067,960,269,362,147,241,469,564,770,521,315,137,391,823,
643,191,976,850,500,419,733,054,840,886,466,145,917,832,065,691,081,655,018,
351,841,143,768,727,853,163,577,684,297,757,766,712,643,845,414,460,754,478,
294,448,194,878,926,748,620,090,804,834,267,254,749,840,484,537,797,964,331,
508,855,015,847,626,429,582,614,006,876,726,294,814,604,739,266,401,269,269,
354,507,074,663,915,180,174,092,951,709,472,867,179,674,888,693,061,390,073,
760,392,388,842,720,130,546,856,946,481,857,772,940,931,524,902,598,069,045,
118,765,973,874,775,470,339,202,456,974,082,046,035,429,419,623,978,545,353,
620,701,028,417,760,624,047,786,495,632,121,617,183,689,055,781,172,303,071,
783,820,103,503,912,329,311,237,938,020,460,477,069,045,586,668,300,442,603,
455,751,310,825,316,662,862,864,383,887,861,739,300,939,880,105,294,429,221,
614,077,835,093,395,556,088,209,036,765,047,779,168,432,970,735,852,765,762,
748,639,156,478,275,034,028,258,865,792,080,942,795,484,813,660,887,309,704,
293,942,249,748,427,458,867,376,316,480,370,123,760,527,072,935,501,514,709,
449,590,295,877,354,686,293,893,177,816,607,980,560,023,389,867,465,837,198,
161,331,154,482,119,712,753,210,690,482,919,324,068,859,301,434,679,835,523,
706,787,857,345,075,674,603,340,723,083,451,922,895,076,668,974,205,890,225,
154,553,332,878,689,147,132,872,827,583,772,959,733,290,271,289,812,161,858,
430,990,532,557,701,310,140,873,096,216,311,645,562,109,666,181,791,312,432,
485,348,840,570,073,710,228,003,511,291,860,974,714,133,269,547,712,431,723,
837,700,292,058,679,037,430,314,794,720,159,015,215,011,380,042,034,258,807,
280,349,132,322,103,773,265,228,054,548,183,804,505,941,850,764,392,876,927,
111,921,906,000,301,891,204,157,456,511,403,440,862,313,347,024,742,670,151,
284,004,252,417,332,095,797,262,044,360,360,840,993,709,236,949,327,499,484,
489,410,875,051,971,199,757,094,650,675,974,738,343,704,571,640,915,123,039,
324,445,490,751,978,277,761,218,483,375,139,857,871,971,462,725,493,536,878,
920,651,287,340,249,803,737,685,782,694,295,454,749,480,203,852,018,061,159,
495,132,104,264,909,151,313,508,265,459,151,980,182,138,556,033,655,338,772,
312,393,627,088,123,540,423,693,388,665,731,267,562,127,981,741,854,053,857,
730,526,937,587,587,451,006,245,887,729,412,393,184,800,632,747,343,398,975,
901,141,656,768,533,271,499,684,828,321,719,908,965,872,580,776,029,189,462,
741,146,486,354,275,087,527,601,388,589,450,675,070,333,060,389,684,166,451,
528,852,880,742,756,522,984,902,998,455,440,648,767,449,911,981,170,553,525,
350,597,966,725,456,319,172,919,759,619,754,638,890,903,212,873,730,059,055,
564,829,603,261,051,884,177,852,419,312,824,311,388,590,243,242,327,173,151,
167,255,673,885,496,330,089,231,730,260,656,605,690,095,316,454,238,472,096,
879,156,864,120,141,523,433,848,408,366,225,795,375,399,313,835,980,520,332,
334,358,496,295,176,862,393,501,816,628,700,472,733,920,945,845,332,796,623,
346,230,664,098,602,408,785,845,769,542,154,252,911,736,444,288,347,362,604,
528,562,783,817,403,078,979,354,888,465,020,840,333,121,143,838,237,439,727,
369,991,615,637,212,971,512,021,616,683,170,062,142,966,933,624,207,687,035,
433,520,629,492,292,907,640,576,586,765,696,476,825,427,822,448,117,068,182,
579,412,053,078,582,615,774,572,360,491,602,671,068,916,789,788,010,295,575,
106,604,402,603,797,884,328,809,676,970,342,899,422,185,660,002,798,677,655,
694,805,187,805,234,799,337,765,914,952,201,197,937,975,760,077,621,802,420,
113,605,638,922,218,669,085,158,842,357,351,082,484,298,954,515,047,518,313,
420,103,700,855,747,754,914,489,018,182,050,225,500,850,488,037,745,673,740,
858,048,351,577,319,212,997,941,311,352,988,002,596,463,448,804,895,759,709,
559,012,515,542,503,360,813,311,722,243,573,882,767,359,570,561,892,833,703,
359,488,681,295,119,231,932,125,097,091,320,849,929,929,903,957,261,423,079,
315,647,958,636,181,425,693,008,644,585,350,785,139,416,666,479,655,291,604,
829,312,858,205,478,332,233,496,487,051,605,607,112,524,387,019,204,830,422,
695,111,718,451,795,502,677,524,406,294,947,110,837,809,442,377,305,365,544,
292,686,606,997,397,652,206,654,948,534,902,350,453,069,161,448,756,354,215,
817,034,181,256,679,537,352,325,491,587,738,076,598,356,447,298,946,872,390,
345,605,776,059,897,757,169,817,991,845,316,871,174,671,550,118,162,515,017,
538,811,259,654,628,949,955,103,769,076,212,826,852,023,100,474,739,449,373,
645,313,450,518,681,165,675,053,588,590,503,698,960,172,324,616,739,024,502,
535,205,728,353,049,196,008,616,939,191,429,163,979,585,982,593,068,362,470,
856,881,764,094,669,373,785,563,682,529,101,440,789,204,354,830,806,086,169,
225,659,787,493,712,647,747,220,393,204,719,852,915,843,387,103,654,054,336,
594,131,740,917,508,036,400,491,906,353,218,054,179,885,411,977,231,167,673,
969,393,158,630,430,886,902,976,508,666,543,776,486,003,808,127,951,010,399,
452,102,373,505,611,963,603,870,424,649,269,474,484,613,946,210,357,947,315,
568,267,271,620,092,329,402,645,552,532,071,492,558,418,964,315,693,058,058,
662,734,386,933,975,610,811,495,884,612,035,887,821,429,435,720,505,493,401,
073,785,769,824,496,346,832,743,759,048,700,178,113,121,834,828,262,638,338,
164,131,568,132,443,101,264,956,998,163,872,187,311,751,996,293,249,967,305,
018,020,699,613,709,043,227,740,235,233,103,815,435,773,979,276,202,496,424,
901,146,387,066,204,716,688,819,962,335,292,091,509,143,118,389,039,619,089,
179,982,134,077,823,175,791,404,597,208,448,416,503,942,163,095,768,510,159,
729,934,400,298,920,922,960,605,076,599,650,139,943,620,817,082,187,643,000,
820,836,230,440,666,558,317,696,910,481,670,138,162,713,065,197,823,746,491,
087,617,902,063,024,456,932,893,827,512,425,071,945,559,049,615,989,367,236,
206,439,663,471,906,059,343,412,360,266,783,743,018,246,167,496,878,842,402,
403,290,262,367,285,794,118,616,590,156,699,419,188,759,410,289,815,268,800,
952,828,361,100,984,651,925,299,728,004,632,125,532,599,936,460,079,041,245,
273,308,044,152,015,117,088,118,787,484,518,626,234,239,579,112,124,986,471,
487,842,503,908,564,189,438,974,461,400,956,828,014,892,334,859,579,237,317,
656,701,331,991,831,292,005,236,147,577,161,158,130,374,901,881,514,017,237,
718,378,673,370,571,778,642,267,056,400,573,305,391,622,971,037,326,250,321,
186,760,571,760,282,648,974,185,983,255,129,643,488,460,383,187,404,988,193,
373,385,937,822,972,052,097,790,812,166,964,771,550,214,132,703,699,535,145,
448,388,795,309,978,743,052,428,861,067,273,806,817,098,588,424,463,380,770,
345,499,418,557,692,452,797,208,886,167,965,473,099,171,827,077,668,564,576,
620,741,616,606,190,517,486,335,157,120,522,235,578,914,897,612,366,078,955,
186,275,554,114,831,374,112,330,091,841,652,553,125,021,992,642,904,685,740,
134,770,514,654,692,223,607,214,741,799,259,360,863,223,902,745,260,138,284,
187,291,803,394,348,478,961,036,145,672,978,690,581,732,193,780,999,458,464,
024,200,724,091,499,308,880,889,309,875,728,241,225,452,929,583,512,960,248,
251,062,604,271,722,960,768,137,312,398,793,445,471,662,418,178,917,299,191,
282,013,016,284,239,344,543,736,716,064,785,739,395,531,491,378,548,499,634,
092,715,189,636,654,292,477,988,056,387,739,204,323,951,009,978,179,599,619,
625,313,022,047,479,631,319,291,947,147,084,854,674,745,391,837,238,964,807,
842,251,860,999,880,573,461,887,953,753,918,892,841,867,306,315,014,555,749,
253,500,730,276,029,506,286,087,738,430,513,118,874,290,249,705,095,920,625,
411,874,718,550,002,110,778,715,636,815,036,548,097,429,554,411,250,391,951,
188,261,160,374,671,771,437,710,199,985,403,915,326,880,930,459,260,460,201,
851,507,281,733,644,077,014,805,008,955,335,691,756,726,849,007,135,642,497,
872,895,797,537,015,496,306,662,390,366,597,489,295,904,751,353,691,146,148,
481,598,169,635,823,663,698,672,678,386,359,353,688,841,062,505,380,952,925,
661,006,102,974,822,865,348,838,287,423,772,977,430,500,646,105,112,248,437,
252,773,354,988,087,981,585,968,587,693,457,279,722,395,601,304,373,420,671,
360,385,517,692,765,438,230,842,448,768,052,690,167,853,628,509,800,084,448,
139,983,130,081,165,326,776,276,752,172,086,665,128,755,457,357,506,273,190,
412,406,466,791,385,585,384,548,795,371,503,400,976,452,843,075,927,323,125,
162,609,450,690,853,151,452,668,207,792,013,097,950,483,907,417,712,641,314,
270,439,435,366,710,381,626,542,423,471,535,627,204,201,478,333,627,476,129,
992,955,342,955,670,419,668,335,580,403,027,028,899,739,811,438,254,003,094,
037,392,264,872,619,077,096,277,883,841,821,540,845,490,568,577,557,231,058,
894,182,036,366,731,968,220,737,918,366,845,019,304,090,391,460,768,953,305,
352,829,900,851,534,003,734,031,101,172,266,799,672,775,168,591,221,685,332,
778,505,516,359,295,119,422,802,573,740,384,673,693,746,054,520,217,797,058,
593,684,117,838,486,845,013,346,645,852,680,086,771,570,049,331,348,700,539,
674,616,464,664,908,560,035,160,452,521,547,880,846,121,404,045,101,526,826,
873,337,236,969,433,932,922,838,617,388,000,437,412,715,411,800,571,025,131,
009,202,675,135,635,783,345,556,523,635,710,914,609,662,298,875,459,608,135,
984,479,175,877,085,253,267,350,094,733,150,349,547,867,571,138,171,995,892,
985,471,928,729,877,505,950,158,976,912,966,243,650,175,516,491,311,124,240,
100,482,257,588,723,587,054,111,877,261,455,966,287,425,834,653,478,000,833,
739,820,342,261,626,634,524,378,464,706,115,746,383,549,364,299,690,720,285,
062,016,760,590,784,027,683,290,537,006,737,280,457,764,279,408,523,938,576,
257,771,519,057,150,225,881,440,509,967,615,076,471,685,243,632,227,136,570,
279,926,713,276,131,627,670,514,526,448,739,426,536,101,803,225,490,223,638,
259,140,793,763,276,991,617,865,026,367,319,688,345,930,444,683,805,582,416,
090,723,248,196,322,102,096,884,176,947,431,676,278,862,667,229,417,397,932,
555,213,656,399,519,757,311,607,000,802,752,127,971,691,896,129,980,043,637,
248,620,360,215,307,146,730,882,413,239,959,148,839,686,507,417,835,235,473,
469,468,303,877,243,955,595,193,660,464,015,733,248,772,458,754,035,902,636,
194,525,750,384,245,435,394,540,213,169,953,619,231,484,440,850,659,510,987,
694,944,903,040,602,387,515,106,864,675,863,365,038,450,063,682,685,991,336,
037,282,340,742,713,393,272,391,806,999,247,573,029,698,410,766,233,587,527,
090,849,653,077,622,321,825,184,601,749,599,521,648,423,457,964,002,080,575,
524,741,550,500,368,829,342,558,612,140,866,977,242,415,309,713,824,300,622,
610,116,352,138,348,001,410,265,804,572,057,623,488,558,790,645,498,469,194,
412,260,810,145,709,492,518,031,546,407,072,810,702,014,662,720,853,322,766,
312,328,038,439,248,998,151,408,535,106,857,376,648,453,490,332,430,959,402,
058,825,866,866,186,817,526,383,242,676,517,295,158,612,616,493,172,012,709,
884,390,277,949,498,790,400,781,110,021,686,870,416,102,957,906,286,080,403,
066,048,985,110,459,151,910,324,310,932,702,171,398,546,795,371,719,356,922,
318,342,186,653,157,375,202,991,608,691,671,703,138,257,261,804,514,437,514,
610,340,675,029,893,368,016,684,662,786,907,684,477,364,960,020,217,253,506,
492,391,597,004,950,450,816,508,308,223,102,993,141,784,062,341,326,635,292,
859,169,135,272,071,644,530,922,478,342,322,536,692,432,467,167,837,119,183,
957,514,801,478,024,191,403,762,585,282,267,931,688,176,141,448,406,731,762,
578,377,316,505,595,118,884,943,143,099,707,997,803,773,927,661,942,098,542,
738,359,209,913,246,690,714,813,149,600,813,202,986,093,081,847,795,711,949,
452,985,385,547,073,943,503,078,245,490,719,384,507,894,406,005,401,259,459,
146,589,683,076,194,234,620,060,810,787,114,055,960,595,626,686,758,350,034,
150,084,509,914,106,608,084,261,576,329,661,047,008,153,033,897,721,252,757,
667,382,496,937,267,583,396,730,751,503,153,996,247,879,680,927,998,061,743,
738,870,487,521,401,745,812,736,221,858,560,089,504,638,812,613,576,371,675,
659,865,443,301,200,328,824,129,428,971,736,356,926,190,212,538,390,095,914,
234,422,136,856,877,007,927,054,796,157,730,188,928,833,028,977,686,340,050,
216,380,550,833,326,081,871,591,248,424,006,899,859,402,047,356,247,140,370,
189,559,871,850,762,858,237,424,379,028,164,016,589,328,229,828,581,679,606,
108,862,674,016,767,786,279,019,110,049,933,969,831,790,768,757,995,162,835,
759,813,380,807,938,523,531,234,186,586,029,787,660,823,635,436,991,327,547,
934,133,527,457,386,381,408,416,000,319,808,649,740,747,779,141,064,092,048,
286,108,812,981,769,553,411,140,966,217,934,934,827,179,558,028,917,626,310,
477,929,272,784,783,886,682,822,342,682,745,827,686,106,252,024,148,365,576,
358,524,026,170,734,222,977,041,640,821,421,884,613,794,271,823,700,321,254,
169,784,581,894,024,495,783,837,010,604,006,487,342,950,018,407,145,231,359,
858,519,504,924,501,321,624,147,870,810,980,621,081,885,475,599,378,999,484,
543,089,200,955,425,514,004,724,648,091,775,474,721,805,816,825,388,524,256,
233,995,426,676,945,152,728,774,708,940,149,797,966,928,513,895,467,952,271,
550,134,513,323,795,228,882,548,786,349,212,313,121,106,121,862,711,397,241,
996,804,268,480,507,461,141,820,960,357,086,830,535,304,675,652,477,539,228,
268,311,618,936,556,056,918,929,646,739,375,948,976,746,519,329,511,429,014,
508,085,506,829,680,326,983,986,459,064,507,431,889,380,936,213,897,993,808,
988,263,300,884,283,491,076,398,891,096,235,803,757,766,869,186,523,845,184,
806,239,158,138,448,938,684,628,323,757,419,161,580,984,249,130,152,934,895,
608,583,133,018,267,460,823,039,393,500,373,157,579,052,656,937,491,527,479,
647,900,003,311,074,054,363,980,458,168,400,346,692,181,040,477,495,626,921,
367,380,213,671,925,092,125,359,936,029,773,174,037,828,347,066,555,354,479,
764,917,000,997,531,644,035,423,025,200,880,933,378,160,534,877,020,130,095,
755,748,082,380,463,273,517,956,635,172,946,439,974,795,460,438,361,297,296,
647,870,897,253,674,944,185,020,856,285,975,401,751,754,797,787,578,101,160,
947,612,008,755,690,857,515,261,426,900,508,585,575,318,006,526,127,325,781,
801,565,788,078,588,110,530,244,945,621,690,036,830,329,336,344,784,187,114,
911,594,970,967,273,347,256,935,038,135,050,823,629,494,995,638,529,250,845,
876,387,227,815,420,442,902,895,342,030,353,685,764,639,250,315,478,816,287,
094,850,825,262,130,581,950,398,200,298,929,982,589,715,284,614,012,362,612,
119,760,083,093,585,015,846,668,241,311,973,672,206,407,496,316,042,192,908,
836,068,541,795,587,468,629,432,949,103,488,922,682,754,207,369,474,397,172,
354,586,994,486,097,815,368,230,305,715,600,455,248,397,307,829,155,185,098,
050,793,126,692,697,201,429,001,985,357,899,600,104,410,700,176,582,788,563,
107,394,801,028,058,428,980,891,831,019,538,010,653,562,693,514,282,933,467,
210,085,789,179,129,159,725,915,116,676,433,354,740,216,312,638,081,238,855,
748,041,825,457,441,672,168,143,582,733,237,472,475,849,756,650,385,470,121,
879,567,481,616,827,391,688,546,147,289,180,474,668,017,491,922,615,043,052,
562,864,935,739,547,506,969,380,651,039,153,054,772,015,390,196,286,423,250,
030,122,125,395,866,232,665,378,696,446,340,910,677,198,297,177,267,500,824,
867,172,527,415,631,499,272,628,342,118,631,724,029,618,111,428,793,391,081,
864,949,322,276,731,294,918,804,191,655,387,901,245,274,637,385,167,953,161,
886,102,516,796,148,889,939,224,404,563,802,973,743,593,349,829,070,800,914,
772,737,123,984,398,580,808,136,852,983,179,652,929,392,355,575,282,518,228,
074,255,407,669,950,423,667,139,251,196,729,453,841,229,859,446,522,524,832,
479,281,302,488,506,119,272,975,836,581,644,114,534,033,547,297,436,317,888,
231,129,494,355,554,262,180,645,436,685,985,894,874,968,097,352,567,144,227,
254,473,730,541,095,329,473,191,136,972,168,207,238,695,379,092,714,791,380,
364,107,338,995,336,035,408,992,002,863,459,279,413,032,169,368,595,869,653,
387,496,532,063,371,045,627,539,229,453,324,174,718,133,298,070,977,667,588,
411,753,674,844,394,579,788,681,749,763,337,020,488,690,330,860,132,684,924,
232,401,621,484,712,319,875,182,775,226,947,920,632,734,523,336,510,777,231,
372,437,620,750,254,105,234,064,139,796,948,612,662,866,625,285,117,289,027,
689,898,043,212,467,048,867,357,157,796,570,036,577,460,191,798,528,117,883,
747,465,818,424,005,557,843,585,419,462,207,254,556,653,124,017,720,068,101,
827,404,567,970,716,216,397,214,841,120,774,027,708,032,238,981,054,641,900,
027,154,685,081,820,603,199,706,601,947,905,886,153,783,164,164,821,377,617,
172,573,748,519,782,905,425,991,653,862,680,553,733,150,536,936,383,558,701,
996,223,658,130,395,939,388,089,308,716,985,131,196,031,528,790,059,709,059,
269,047,571,733,118,439,962,515,283,222,149,454,835,183,498,828,722,516,658,
034,799,698,498,552,336,563,867,286,781,657,017,569,688,235,780,860,771,493,
160,258,375,215,378,184,982,431,061,238,129,496,617,157,631,998,705,580,059,
071,469,801,378,459,167,347,695,162,339,027,687,010,942,623,855,971,452,724,
645,223,883,104,730,073,789,383,849,575,677,860,914,399,469,728,960,447,878,
143,359,249,483,397,436,856,248,134,614,618,145,344,134,638,746,510,641,232,
569,366,459,369,456,293,544,018,361,718,558,385,601,146,869,280,549,933,149,
141,401,246,114,722,200,136,592,246,042,577,214,941,191,211,620,569,183,421,
249,205,473,210,130,328,931,546,372,346,199,932,225,377,561,844,222,223,966,
351,451,342,765,141,635,998,255,381,730,448,282,482,946,667,255,302,565,622,
983,639,443,582,222,871,406,825,052,497,584,337,314,956,077,145,715,661,535,
385,719,910,540,596,412,492,023,311,244,416,378,190,668,571,535,654,249,591,
396,971,733,726,535,496,741,557,134,998,334,152,227,424,823,888,275,661,814,
010,630,716,968,158,964,878,676,321,413,168,042,415,334,396,628,183,579,286,
875,120,523,924,500,399,667,730,261,710,223,047,404,935,033,903,126,423,993,
592,576,792,119,846,951,144,842,265,405,083,077,726,749,306,892,262,466,897,
091,678,966,791,264,239,040,177,314,774,707,361,735,690,008,061,744,067,042,
552,429,583,729,119,267,305,754,919,381,277,437,059,656,151,098,424,272,793,
505,732,103,267,940,065,608,249,494,172,712,875,912,207,728,974,492,137,223,
641,282,485,297,930,048,903,014,242,541,133,084,331,385,394,015,288,627,211,
324,591,556,605,452,843,705,450,099,193,555,661,856,573,711,583,994,505,513,
671,194,539,189,648,600,146,736,204,602,364,792,955,884,451,929,285,113,719,
902,525,103,258,245,489,140,728,153,961,495,564,055,701,548,512,878,370,683,
273,551,291,622,040,126,467,951,507,562,146,612,978,014,516,594,453,081,168,
025,471,641,930,622,809,062,542,248,276,038,913,706,557,411,595,297,573,618,
174,115,215,022,130,185,148,621,871,979,836,449,797,457,120,208,170,916,014,
394,574,811,823,502,218,473,673,917,292,311,083,988,254,480,195,878,208,693,
252,531,847,764,065,769,908,469,045,384,248,944,587,826,420,100,771,408,977,
164,928,058,618,490,220,429,593,218,187,538,290,072,661,134,390,911,955,339,
182,725,912,357,118,497,611,843,173,694,139,034,992,712,740,327,886,919,935,
440,408,370,162,619,316,511,798,537,537,678,002,018,982,653,590,608,617,280,
370,106,127,149,132,017,020,827,194,721,444,462,061,810,844,394,962,164,109,
041,487,226,566,657,973,861,616,586,142,935,677,476,883,874,135,823,421,146,
167,254,536,703,523,238,748,267,167,401,544,886,769,291,043,037,024,752,382,
839,477,069,475,755,388,252,628,428,710,002,972,456,227,835,404,432,471,640,
887,812,727,375,899,958,206,759,495,363,042,715,399,144,053,371,915,375,493,
010,120,308,415,761,409,470,240,436,473,044,432,120,096,605,416,467,200,238,
178,533,485,293,324,790,864,822,598,064,423,920,179,047,556,816,132,714,961,
280,693,302,058,602,561,641,878,015,357,790,558,529,910,378,085,942,913,744,
051,046,358,595,506,013,836,803,492,063,396,556,838,315,834,756,119,653,661,
611,071,380,651,859,246,227,151,139,429,444,131,276,124,105,039,274,861,920,
630,888,700,592,384,825,686,145,754,125,131,446,319,367,946,080,277,669,897,
663,212,669,847,640,658,782,609,221,105,219,214,263,655,419,446,086,664,613,
939,391,571,654,582,560,610,447,946,882,486,607,336,506,946,302,021,276,534,
191,157,627,787,698,246,511,053,086,307,305,635,392,699,065,783,742,588,235,
892,726,160,397,280,703,289,647,677,768,652,366,777,793,001,970,309,047,270,
531,686,325,271,331,410,210,460,636,180,420,098,576,698,377,568,045,766,968,
873,094,102,614,038,987,999,286,465,173,883,163,409,979,422,105,576,181,672,
580,072,019,739,743,413,828,347,187,353,323,790,365,053,445,930,485,128,697,
932,981,239,784,897,053,831,893,982,780,484,668,678,197,175,173,992,814,072,
377,020,394,665,753,551,626,040,871,617,533,975,054,932,240,271,791,024,939,
004,948,268,831,235,597,270,410,403,536,722,682,897,544,518,481,538,316,649,
015,571,621,388,332,697,677,631,480,926,406,026,001,460,589,109,030,269,543,
253,394,014,683,879,209,293,043,993,889,396,044,214,433,243,735,153,447,962,
592,797,839,426,234,179,647,461,170,026,031,461,674,980,328,429,122,354,348,
886,087,305,422,178,957,808,911,679,875,936,976,399,547,765,603,449,942,422,
610,487,048,047,223,294,518,149,895,274,635,048,975,763,568,088,605,286,829,
996,792,817,854,041,445,289,307,292,837,754,673,200,520,211,191,162,186,579,
315,538,534,439,055,038,616,311,734,076,263,259,796,107,599,242,371,135,711,
622,064,711,898,890,735,449,671,355,320,344,832,339,715,583,454,486,404,984,
825,093,192,865,881,206,486,073,318,807,404,858,747,332,194,032,170,526,384,
982,530,384,101,544,177,706,639,788,958,953,902,590,433,670,010,227,335,360,
897,715,978,985,125,848,446,924,791,593,285,472,796,185,196,419,404,962,667,
426,553,224,486,205,377,324,078,415,702,684,904,381,391,087,257,637,630,241,
068,735,848,323,701,749,359,160,522,783,727,253,617,141,298,061,693,937,500,
582,036,463,956,190,171,717,810,203,492,853,838,074,742,821,334,047,037,381,
167,826,465,459,307,384,877,258,159,219,070,498,057,109,278,894,044,252,041,
078,108,526,160,355,490,019,681,702,456,624,561,686,633,180,940,947,577,352,
215,596,567,651,319,893,662,507,605,237,564,998,554,832,036,102,197,660,981,
130,979,665,093,670,316,965,993,429,070,100,608,497,657,863,784,259,111,617,
396,789,710,189,957,366,700,002,916,959,665,182,751,715,700,103,153,445,587,
410,989,088,710,419,830,815,542,800,454,426,963,920,776,346,972,085,214,898,
800,605,339,712,280,421,694,736,830,863,621,370,283,031,999,850,550,947,998,
844,607,335,735,252,132,490,690,889,378,317,335,128,019,170,645,032,845,803,
951,459,185,844,774,938,427,307,367,276,989,084,430,308,308,044,821,083,574,
084,607,999,827,138,043,533,489,968,116,024,300,100,909,412,980,908,950,184,
820,465,191,094,856,783,355,492,240,640,755,496,514,067,594,222,891,216,404,
268,335,202,217,731,452,458,525,712,009,309,303,608,834,923,490,818,251,075,
312,471,912,508,278,616,785,507,167,054,858,587,898,883,067,343,448,094,789,
341,297,250,637,802,622,485,239,873,425,206,061,426,325,114,772,538,868,032,
430,997,345,844,072,774,527,777,852,488,945,950,594,035,999,420,060,830,267,
128,615,659,601,709,796,959,107,151,503,168,982,261,690,145,193,685,853,004,
443,107,307,711,936,850,269,785,725,878,615,447,689,147,002,070,012,942,089,
477,231,580,953,166,373,385,054,388,538,702,902,577,144,200,910,880,437,220,
653,833,854,731,320,496,626,128,914,701,484,763,365,349,784,443,775,276,316,
050,869,410,884,887,490,960,023,708,408,517,644,371,800,173,259,694,772,565,
314,431,709,056,433,649,125,868,658,920,567,634,964,500,767,162,496,190,456,
975,188,238,880,383,482,736,936,601,897,135,544,038,722,918,700,293,920,413,
323,527,567,398,840,251,241,033,723,430,239,810,031,976,910,437,808,483,870,
162,913,655,147,587,397,255,756,114,652,183,930,609,014,122,390,957,717,147,
311,745,146,402,177,960,606,323,701,865,244,972,176,993,420,292,778,222,234,
161,485,501,378,076,566,322,409,456,182,334,699,865,766,522,866,317,407,564,
854,433,629,716,912,102,018,221,133,108,658,701,985,704,100,988,020,321,553,
676,025,304,841,927,579,677,307,687,234,738,384,362,170,258,176,943,663,932,
595,999,338,036,090,552,271,365,204,160,009,017,175,660,431,314,881,884,066,
925,378,237,826,473,933,111,742,801,958,817,928,154,549,257,358,432,520,020,
902,159,096,211,301,496,581,282,686,332,438,708,549,842,372,691,946,042,379,
124,580,205,525,347,706,661,000,702,651,653,754,492,791,758,928,650,853,867,
325,968,770,103,712,974,069,562,085,138,811,472,209,853,989,207,929,675,806,
142,913,649,877,451,812,676,084,546,602,957,408,504,681,035,545,324,298,093,
740,860,534,800,276,427,450,066,250,018,596,839,899,147,335,246,562,668,647,
311,069,451,244,652,032,094,585,300,365,219,300,826,276,887,122,580,302,233,
433,387,140,408,484,196,724,761,480,060,483,232,981,336,848,456,663,388,942,
558,457,337,686,565,329,684,660,342,540,079,519,512,516,365,576,763,846,171,
355,189,659,245,744,385,777,461,272,177,889,533,901,381,580,369,268,266,462,
650,802,723,381,972,859,516,009,200,034,267,247,332,215,731,693,228,520,863,
452,048,535,724,647,336,125,895,550,341,053,672,085,586,389,964,825,868,736,
427,231,255,362,214,640,710,544,248,437,782,996,796,323,353,299,036,682,019,
398,175,622,277,311,461,593,928,895,044,182,525,240,498,397,959,940,914,522,
178,145,395,654,411,730,146,638,490,160,777,929,960,504,739,119,336,593,386,
182,676,014,713,464,727,714,955,395,235,821,651,513,990,765,805,855,822,561,
070,407,548,959,263,399,067,481,627,383,862,470,390,060,590,297,312,966,797,
350,171,987,610,688,892,755,381,397,520,950,172,241,516,204,300,983,651,201,
470,092,635,364,420,098,498,572,968,779,528,962,426,973,329,409,981,358,225,
566,496,820,231,221,946,183,585,124,447,084,806,940,591,369,400,386,833,014,
072,961,462,978,213,674,839,924,650,185,201,282,303,413,786,995,335,597,148,
554,448,980,558,121,474,980,874,109,178,230,907,072,146,129,550,017,823,831,
799,514,782,602,521,767,779,423,882,877,533,139,899,274,964,002,778,058,912,
262,253,226,399,389,415,602,465,017,533,041,647,470,147,885,636,967,809,161,
589,971,193,398,938,033,732,456,503,575,096,882,931,746,263,370,838,251,347,
732,234,398,712,352,679,164,133,946,193,208,942,564,533,686,111,575,486,621,
996,134,108,097,843,017,032,578,112,375,259,727,556,398,832,181,119,035,764,
642,246,908,054,033,969,667,293,271,471,159,114,007,227,351,909,896,867,636,
939,897,771,758,582,222,904,367,373,554,062,204,876,302,111,612,407,714,872,
246,156,177,246,372,336,067,779,314,424,405,803,260,490,309,270,151,877,238,
469,265,219,102,418,770,121,626,518,072,617,481,309,895,331,663,950,563,326,
163,581,146,830,514,273,833,637,001,699,610,270,446,405,211,531,266,298,308,
099,654,113,599,433,301,246,752,121,020,957,391,131,298,388,205,342,539,953,
386,462,795,846,894,345,089,687,959,217,529,998,251,052,255,375,399,617,812,
256,909,242,337,051,013,370,604,277,258,513,324,761,145,412,150,371,797,822,
839,496,380,695,639,856,450,774,341,159,103,925,235,559,930,149,095,168,718,
408,558,124,012,281,660,107,263,486,205,443,204,414,752,849,856,602,456,412,
846,594,397,972,210,361,844,505,319,337,827,104,900,087,515,577,168,195,022,
815,891,923,503,881,166,673,422,938,163,635,010,404,853,461,781,277,812,531,
882,876,828,958,236,465,580,883,071,850,115,260,130,436,239,493,660,839,665,
049,945,844,385,506,093,373,893,525,405,242,695,999,325,330,887,300,260,311,
243,179,520,826,368,469,803,979,021,161,118,779,209,297,654,132,007,752,353,
386,850,463,551,883,699,821,367,735,050,761,830,838,774,612,455,699,154,129,
139,721,189,737,806,878,255,452,755,262,471,898,469,165,870,212,376,510,597,
489,693,088,190,364,065,827,251,695,309,837,022,885,086,762,903,699,374,324,
190,169,435,207,104,454,678,598,920,121,483,680,200,681,844,259,519,138,393,
715,046,768,434,908,548,341,184,778,639,399,267,221,656,131,517,927,343,930,
035,067,557,153,053,303,644,220,483,255,105,816,678,338,950,423,761,062,903,
094,665,526,836,133,442,218,085,478,251,435,828,513,200,347,380,376,443,997,
204,507,115,055,645,287,380,756,219,616,916,018,348,135,022,133,172,977,242,
273,427,154,968,642,198,826,279,128,334,295,207,837,646,511,935,072,155,952,
018,864,960,993,964,994,369,480,768,170,733,099,012,803,780,877,707,259,634,
835,915,870,788,287,890,049,988,388,444,797,285,974,769,971,609,331,867,614,
501,046,707,752,110,621,357,774,364,818,949,237,816,314,054,524,620,418,023,
178,987,358,101,186,718,446,828,951,718,433,582,743,553,496,818,051,294,524,
040,824,517,057,581,930,532,829,898,319,889,039,182,285,769,864,034,653,218,
544,106,084,886,160,996,000,488,924,971,440,460,470,116,507,722,811,301,569,
617,851,507,563,065,341,723,233,454,830,232,166,208,680,529,952,442,294,570,
066,805,746,625,083,859,218,053,648,563,344,332,474,514,013,023,794,540,011,
891,286,943,684,190,255,168,330,604,222,666,911,833,914,885,265,786,321,936,
699,158,714,641,651,873,409,908,351,870,838,835,890,752,231,493,392,421,568,
867,702,562,440,149,930,621,872,034,232,823,713,312,854,658,239,712,256,944,
498,566,840,564,441,236,880,700,340,437,929,663,532,555,953,388,612,921,122,
920,585,204,678,055,874,370,374,735,523,393,945,687,065,029,082,994,017,062,
164,132,257,889,955,235,734,695,739,810,937,114,620,144,006,590,054,665,374,
446,064,506,790,647,364,696,345,806,360,695,517,945,414,401,098,912,808,198,
428,796,645,020,698,802,872,241,973,753,951,128,318,606,391,093,792,370,369,
735,002,941,863,146,346,448,694,881,662,027,369,436,307,613,604,371,981,720,
460,533,282,714,932,183,795,351,652,960,933,264,769,444,836,641,772,663,946,
096,338,010,956,129,305,784,976,824,309,441,894,198,444,630,128,531,793,174,
767,748,908,337,309,334,757,817,896,627,218,346,074,676,412,740,685,277,406,
302,580,840,154,077,909,622,207,235,352,013,674,725,871,206,466,347,456,576,
567,754,852,373,125,400,976,802,770,690,518,024,078,337,179,445,662,895,700,
392,487,928,343,208,177,663,199,890,059,124,160,092,969,768,244,258,955,000,
668,250,107,111,433,183,695,379,481,179,897,788,451,650,493,777,284,264,550,
404,384,131,664,194,389,045,945,893,429,896,773,997,161,109,629,756,826,139,
217,244,225,160,878,686,476,762,663,161,574,644,563,057,189,691,679,643,120,
802,034,903,892,722,930,961,606,930,085,447,116,762,370,051,100,323,261,867,
740,266,833,591,254,950,799,755,162,467,318,862,334,875,798,341,793,765,932,
361,535,459,032,138,735,201,270,928,486,443,432,150,609,960,089,720,530,007,
848,277,212,716,815,602,845,109,573,919,444,573,010,473,299,748,597,847,036,
451,809,655,509,051,379,384,969,793,357,289,126,635,680,515,805,691,653,929,
041,448,444,412,351,902,177,406,902,733,546,864,403,923,768,588,093,890,774,
301,370,064,539,345,463,293,373,964,151,454,016,264,460,002,068,471,953,247,
226,766,494,722,160,771,653,919,616,576,483,996,744,923,118,421,521,305,633,
933,806,148,509,783,990,052,498,112,487,575,817,140,712,400,547,899,421,798,
207,359,265,696,569,123,667,793,668,509,196,905,104,748,299,209,217,916,086,
210,756,080,476,778,743,656,105,158,116,218,823,801,549,748,689,434,698,920,
887,553,583,814,616,332,309,555,630,584,220,231,941,150,623,604,134,926,518,
487,088,809,515,322,711,152,338,355,945,630,754,327,319,894,579,116,624,276,
577,970,068,511,418,972,038,772,389,810,419,929,757,939,538,894,365,349,721,
902,128,478,321,153,034,552,227,303,597,718,173,086,905,867,425,791,624,206,
313,931,727,397,832,900,319,144,398,693,236,172,408,886,194,011,353,372,041,
012,822,750,651,668,583,055,914,860,765,892,036,145,692,027,139,542,270,714,
559,568,356,424,170,444,953,138,626,756,953,989,962,248,906,834,512,132,343,
212,969,293,166,974,116,747,029,957,876,888,929,148,307,264,491,892,581,412,
279,792,279,836,917,852,144,543,607,596,667,538,819,099,005,706,743,480,293,
772,038,466,376,610,089,573,755,077,139,366,339,731,148,168,104,220,297,155,
550,043,313,262,609,464,564,243,495,931,987,684,088,067,126,806,697,834,910,
961,926,814,578,781,018,058,523,192,960,032,319,517,740,484,614,763,758,765,
915,890,373,911,930,705,457,296,557,623,818,674,262,002,042,049,668,743,728,
924,294,742,552,223,265,398,278,948,933,732,147,021,420,780,540,754,783,392,
837,942,832,609,407,933,207,446,555,885,908,138,187,861,696,371,185,910,304,
450,068,390,325,729,654,401,223,805,459,084,571,590,284,346,308,250,454,138,
115,361,089,059,299,982,529,854,935,112,314,111,088,065,009,054,699,176,203,
729,000,375,926,406,867,273,351,088,891,402,217,823,026,044,355,157,463,166,
797,074,705,294,937,183,883,195,857,093,353,019,709,627,929,962,255,973,990,
877,917,150,108,569,539,797,168,245,651,611,019,957,597,523,852,006,202,051,
699,625,501,336,586,922,412,373,007,681,499,843,227,318,476,545,460,503,995,
228,196,243,627,362,858,157,700,328,846,167,808,832,856,563,358,259,555,504,
350,678,557,643,368,566,687,312,242,276,645,877,957,354,581,481,553,487,127,
182,368,747,364,103,723,381,678,920,787,398,722,722,212,623,704,175,006,985,
049,191,857,520,546,669,388,337,689,808,875,014,303,492,776,234,110,776,373,
649,217,009,827,199,939,983,841,388,574,024,312,209,488,940,385,176,825,309,
858,256,834,906,010,931,520,219,905,709,362,678,612,816,413,727,276,445,502,
719,788,362,655,935,262,362,285,869,911,938,562,223,063,042,439,791,706,489,
934,838,414,384,056,970,544,635,834,605,240,789,092,375,043,799,051,314,170,
400,148,051,040,977,847,237,750,202,446,135,799,597,968,408,551,085,326,076,
540,975,281,025,774,916,742,303,517,142,007,433,497,785,722,954,151,263,073,
229,397,131,761,852,867,439,861,868,512,746,491,648,864,793,701,222,634,992,
365,813,913,689,280,393,763,255,424,334,276,817,662,656,047,261,186,745,257,
509,709,622,680,108,460,635,495,649,171,479,768,064,367,369,034,833,135,303,
286,634,509,624,502,293,409,531,517,733,900,576,896,310,885,243,527,583,945,
844,518,586,111,714,538,346,580,177,401,813,834,330,628,619,538,947,195,250,
528,055,464,847,092,866,844,066,691,780,243,853,954,552,798,602,116,028,391,
295,866,565,719,972,968,189,252,113,655,875,583,365,985,408,799,068,573,025,
943,214,627,025,258,883,335,199,535,864,594,189,032,056,866,761,893,148,357,
162,737,762,049,767,310,898,406,366,895,885,161,775,849,880,349,483,762,781,
348,722,621,471,167,760,893,585,842,745,878,524,750,177,025,733,248,531,477,
770,113,005,029,041,795,289,042,094,626,698,966,855,585,627,386,556,130,147,
537,457,715,829,708,480,294,512,272,089,412,589,077,165,015,876,034,073,469,
040,203,445,688,338,124,211,401,896,414,061,240,927,294,308,821,693,956,561,
952,987,335,495,718,843,426,087,776,421,720,579,696,015,888,660,567,120,045,
957,010,229,298,998,387,058,524,241,302,592,874,219,554,116,773,580,544,384,
675,794,147,121,671,773,872,550,095,832,154,843,244,359,426,193,621,376,128,
765,497,866,516,836,238,068,610,649,366,737,451,385,067,200,628,029,672,863,
482,609,316,241,146,311,277,928,960,248,473,075,617,167,935,651,666,618,813,
821,378,607,414,484,985,029,069,803,330,605,391,612,365,022,183,804,640,208,
605,494,579,570,687,809,703,365,972,917,656,088,540,326,557,475,335,754,494,
940,721,011,619,014,484,834,970,896,186,013,848,419,735,137,672,407,274,135,
887,428,999,330,712,554,083,706,554,727,871,125,723,447,209,801,968,791,291,
521,856,649,531,672,441,231,060,210,031,056,220,789,314,404,812,990,382,076,
851,937,309,359,525,594,707,876,611,319,749,508,819,954,783,785,155,763,804,
123,286,867,121,486,023,647,693,805,718,877,480,251,692,254,932,789,527,263,
932,554,569,515,591,520,578,500,284,865,694,747,577,717,727,761,697,230,912,
504,067,433,977,576,849,776,729,283,000,507,642,353,007,333,857,798,696,554,
043,766,450,811,350,993,133,304,201,804,666,287,544,895,838,860,270,720,844,
150,728,909,867,973,367,641,678,390,511,211,658,264,595,185,113,045,862,974,
250,906,401,950,580,693,484,381,595,010,887,745,590,822,018,304,547,231,371,
919,812,669,885,409,748,973,345,119,110,844,850,438,769,843,871,286,712,706,
420,270,047,389,229,809,136,452,141,790,440,470,776,873,372,326,982,736,418,
197,544,069,375,242,225,815,114,886,648,604,258,695,589,112,350,220,905,371,
189,832,102,261,525,955,235,984,249,763,511,846,905,513,782,633,767,627,785,
602,436,735,110,416,892,061,339,206,286,709,474,432,760,059,829,973,262,029,
660,623,114,135,865,661,389,678,782,682,480,986,876,039,889,546,699,821,618,
667,190,639,626,270,645,896,252,755,759,605,123,269,282,468,799,706,192,467,
338,832,016,573,606,039,786,691,615,922,825,024,034,877,636,524,833,904,583,
914,110,793,003,767,046,181,991,928,146,433,906,700,191,136,787,081,299,482,
163,300,463,505,902,768,861,096,403,264,773,515,420,255,896,776,101,345,823,
809,686,498,858,547,036,511,301,047,676,012,195,807,347,158,968,662,580,429,
537,016,476,827,577,317,644,665,341,125,327,418,330,568,140,971,739,081,140,
794,633,393,450,700,522,353,238,496,673,099,980,042,189,679,157,635,439,082,
161,836,264,412,090,131,286,961,209,736,857,931,369,695,229,459,902,682,532,
563,107,977,655,758,300,271,417,150,072,491,838,614,393,244,104,711,240,152,
208,694,527,501,771,777,325,101,985,380,310,521,622,485,786,929,327,797,619,
709,366,636,991,070,001,342,156,379,655,470,226,797,385,950,861,664,399,822,
843,460,313,374,810,347,928,123,561,866,708,660,546,587,255,290,055,227,110,
721,580,273,108,336,653,466,347,644,810,408,934,700,572,257,581,112,505,922,
558,409,069,983,339,131,185,885,282,148,878,321,022,908,202,167,548,199,103,
023,160,029,958,760,223,126,510,800,538,265,507,409,513,636,632,055,885,714,
082,560,547,393,481,568,600,477,254,314,319,427,872,862,776,490,812,400,403,
628,962,105,588,618,097,291,998,386,169,276,688,336,234,208,714,054,107,336,
861,848,209,836,160,072,385,196,781,919,503,128,871,196,757,671,451,579,061,
721,898,811,468,347,779,739,287,434,514,983,912,615,241,330,487,300,198,046,
283,521,324,548,025,140,041,143,141,414,435,141,525,539,496,632,051,205,983,
538,989,510,188,109,876,903,672,373,927,832,825,925,062,319,296,425,655,306,
541,751,384,521,094,507,967,459,729,536,417,879,944,576,900,646,596,911,602,
308,607,498,369,169,807,147,328,031,439,955,389,061,465,335,903,088,464,869,
588,372,203,674,887,345,935,956,980,407,257,614,109,842,916,721,986,736,735,
039,897,374,289,498,201,256,929,030,444,917,981,333,522,452,785,615,139,558,
241,185,330,455,146,963,057,919,933,723,180,790,730,188,493,173,560,438,812,
421,833,977,277,803,417,843,180,834,987,481,966,051,138,990,528,385,332,478,
030,370,055,495,060,090,002,718,479,146,916,012,594,401,624,782,398,953,064,
427,439,454,540,677,564,215,828,618,576,263,882,834,096,552,825,071,963,085,
402,487,520,185,434,917,537,335,998,921,870,971,354,254,355,715,728,942,514,
134,852,736,194,992,610,222,282,989,570,648,213,602,910,294,698,081,528,847,
009,650,756,903,108,221,734,638,174,148,325,344,900,082,112,040,839,257,090,
231,206,850,442,171,036,383,144,485,754,741,990,485,153,427,528,694,932,320,
307,750,374,187,919,447,586,694,526,029,872,938,466,388,244,969,225,616,093,
929,190,287,890,880,211,667,209,424,732,757,064,180,328,867,772,991,418,454,
304,806,466,370,665,881,534,811,573,284,492,896,850,354,037,681,076,840,403,
653,266,366,168,724,105,541,269,871,212,758,141,254,452,787,240,891,419,892,
308,286,474,568,114,083,773,769,296,283,025,792,482,605,091,088,126,800,482,
510,172,684,929,747,787,563,311,867,473,069,897,143,042,775,883,000,360,499,
556,785,822,139,737,628,395,739,146,253,325,640,725,359,306,138,754,607,884,
417,633,565,338,955,641,016,555,307,303,992,766,995,643,095,962,602,168,646,
715,428,519,262,252,911,809,137,579,583,634,822,588,876,600,499,061,711,793,
757,018,812,698,621,696,876,510,373,442,969,995,294,628,218,834,944,320,795,
669,756,797,338,833,800,426,007,657,296,067,808,845,546,573,802,361,004,497,
176,214,107,914,194,190,490,051,385,458,930,500,028,341,562,727,926,475,726,
329,090,613,143,701,638,307,751,827,696,550,684,950,186,092,769,820,688,675,
421,917,688,530,118,486,547,550,939,471,266,108,234,794,432,688,055,792,129,
934,560,240,954,593,736,057,426,236,481,630,822,620,258,696,458,568,796,408,
685,430,703,067,701,509,691,599,943,917,246,549,486,703,472,933,236,111,866,
902,448,676,648,760,102,715,322,452,081,348,163,910,302,934,768,651,544,354,
194,774,702,217,740,476,194,893,986,304,658,328,115,325,172,974,766,784,343,
042,598,618,455,034,578,642,516,184,269,423,394,088,328,894,921,355,138,269,
244,862,423,793,006,650,654,214,347,997,642,185,888,052,603,166,260,534,130,
541,010,717,542,327,058,933,129,863,504,551,334,851,253,229,328,843,757,449,
190,817,609,143,986,191,598,657,610,216,226,332,135,994,909,777,450,636,418,
457,891,487,380,709,602,887,212,905,496,826,862,306,451,896,863,369,326,687,
638,308,266,690,833,113,635,214,509,494,954,141,902,704,416,423,588,985,149,
608,255,074,866,751,552,247,134,845,482,402,217,522,933,287,446,142,077,106,
559,471,513,781,962,909,710,766,978,102,978,061,919,527,978,013,802,662,733,
025,785,099,989,705,315,472,964,722,114,647,406,076,757,038,041,900,829,898,
865,815,324,276,270,037,464,118,839,334,108,929,205,087,977,351,208,277,787,
033,851,563,792,104,008,716,445,325,581,681,304,530,261,062,987,552,996,232,
535,575,177,879,674,218,595,781,938,472,722,547,723,255,053,185,697,523,593,
792,141,213,848,596,232,119,455,590,323,475,569,965,553,646,266,521,481,445,
825,137,796,860,332,158,191,906,244,121,203,694,333,496,395,827,271,883,490,
426,762,027,808,217,347,473,776,439,731,214,713,475,561,288,725,449,760,708,
513,658,397,392,297,882,319,195,992,588,752,352,753,253,700,772,510,560,822,
981,455,794,016,244,798,527,589,327,676,012,404,278,757,380,119,656,888,081,
060,818,161,314,586,107,219,105,254,523,951,177,539,315,003,163,343,646,110,
063,004,087,940,935,831,309,709,559,640,765,453,790,754,445,674,073,087,128,
404,414,678,719,544,164,841,314,416,994,073,082,067,515,115,662,634,631,597,
956,844,584,956,142,077,834,163,027,072,817,932,555,256,627,335,941,413,436,
337,971,113,569,732,697,294,327,897,360,811,115,109,346,970,809,380,229,707,
205,046,910,397,398,144,432,555,848,638,908,532,284,976,641,094,196,430,874,
493,692,703,387,340,830,886,339,095,926,910,340,312,637,944,155,240,746,656,
557,555,984,227,814,168,642,013,320,792,213,818,881,340,189,589,915,293,720,
098,134,203,769,718,614,351,211,727,036,938,408,139,991,951,875,666,468,270,
555,315,201,834,421,481,487,525,220,455,277,394,983,627,748,536,042,149,414,
980,595,852,926,966,621,282,649,763,687,458,150,946,493,758,407,359,854,646,
192,810,087,389,424,338,437,126,717,540,695,262,755,486,923,834,078,261,840,
437,981,835,602,952,601,037,082,502,015,930,954,088,319,557,128,935,671,371,
902,487,478,736,146,402,063,369,356,478,229,601,893,747,217,421,937,406,828,
628,077,293,472,070,153,798,015,142,915,901,167,231,085,045,470,865,528,477,
606,188,208,562,375,884,228,800,484,985,987,714,774,773,037,640,119,301,467,
065,090,224,149,835,745,477,973,195,754,174,709,506,356,681,069,160,794,775,
584,686,339,197,856,053,777,990,632,139,936,210,772,995,016,006,044,712,739,
212,677,353,948,495,605,497,229,042,997,847,091,060,347,117,311,846,499,417,
032,300,862,733,220,248,984,199,901,782,456,548,534,429,520,998,909,069,201,
762,137,559,829,627,309,036,338,306,864,521,267,689,276,635,870,520,787,483,
313,453,635,707,669,576,485,483,458,703,884,529,845,430,922,109,509,524,667,
310,256,229,091,385,047,244,867,369,484,630,343,854,500,516,726,128,265,181,
359,188,350,463,819,740,806,824,144,519,110,511,529,569,780,151,388,227,511,
355,017,638,992,294,500,488,835,166,383,460,001,786,075,091,626,626,422,278,
610,768,336,071,500,509,899,045,342,683,234,721,699,923,746,381,955,157,931,
436,676,054,838,113,627,917,077,067,741,152,676,442,814,924,058,234,024,692,
858,995,321,551,656,374,298,594,888,837,868,525,558,835,370,709,709,431,856,
892,921,256,436,072,911,599,668,375,626,214,081,706,684,137,791,004,273,761,
518,639,148,210,892,791,986,545,278,231,492,873,224,715,935,777,781,485,859,
616,922,344,958,861,587,657,667,405,808,825,899,137,895,984,658,082,414,947,
666,717,595,191,020,659,152,656,968,640,216,198,753,249,347,407,363,728,099,
229,057,973,131,322,178,564,590,497,612,996,985,685,791,354,632,306,105,078,
742,968,545,800,279,775,684,415,196,887,964,990,302,513,610,220,051,477,445,
852,518,706,945,281,729,825,075,124,794,220,510,419,643,125,375,296,661,279,
781,016,725,016,334,299,463,709,906,810,379,251,314,503,353,475,114,143,522,
066,611,806,643,469,478,674,060,023,259,156,124,514,798,576,329,765,457,192,
639,594,554,689,502,798,412,591,778,890,004,442,048,513,731,196,410,661,295,
106,596,118,165,323,126,373,914,640,280,257,591,488,625,473,265,243,654,552,
198,489,077,298,603,955,181,820,616,580,948,588,277,785,900,407,632,156,307,
971,650,387,001,098,823,919,741,833,296,322,704,819,078,664,088,753,738,738,
073,916,718,745,732,613,551,208,312,611,127,115,322,390,881,336,330,819,916,
388,995,934,830,186,410,397,722,793,704,667,829,869,176,151,097,256,764,976,
110,114,253,996,998,092,680,621,914,322,006,435,111,670,794,543,419,905,678,
436,904,598,318,154,338,196,120,562,514,706,894,820,436,742,273,183,678,151,
398,433,284,946,484,280,807,838,802,490,260,805,932,539,063,848,335,431,989,
180,175,398,764,101,189,830,699,770,477,608,787,297,016,318,894,819,253,016,
482,137,125,172,074,925,423,801,432,700,984,380,161,225,649,491,257,701,726,
846,298,643,299,508,535,276,548,395,787,122,520,776,066,368,973,738,761,323,
274,952,940,673,242,754,177,015,349,736,723,327,058,704,124,514,194,128,518,
648,570,141,121,691,948,490,575,731,420,507,682,381,883,476,749,603,578,178,
560,935,741,022,024,736,320,211,097,139,252,205,965,409,090,677,176,761,019,
078,147,936,551,402,380,974,553,060,720,734,700,730,880,126,094,821,189,346,
731,909,213,357,114,743,871,943,341,177,081,048,355,498,387,079,730,750,153,
771,319,648,603,002,547,164,983,488,442,381,532,399,050,457,351,520,239,622,
927,463,656,523,323,225,252,948,772,976,605,555,531,573,557,902,300,658,381,
579,034,748,426,954,283,078,709,502,163,510,608,641,589,074,559,736,733,488,
331,224,811,793,025,760,688,822,799,456,038,513,113,099,515,079,306,397,361,
856,953,553,822,665,452,658,504,387,538,313,329,748,141,961,243,303,888,806,
004,708,627,191,465,011,868,387,723,577,835,488,694,426,518,086,235,263,428,
881,900,216,713,081,220,170,565,414,032,669,805,711,675,778,231,714,612,800,
201,251,677,357,546,344,876,178,112,531,149,784,572,096,113,061,042,620,447,
800,696,541,395,487,231,031,185,829,320,088,530,021,721,307,962,151,362,708,
205,744,018,815,314,068,024,765,876,223,921,921,861,441,172,635,842,891,796,
842,422,885,684,563,969,107,893,491,004,355,981,804,984,035,577,084,250,873,
178,433,862,566,961,502,727,702,436,422,761,084,722,174,518,250,587,677,509,
804,025,079,510,932,796,958,881,131,035,952,276,726,269,483,641,277,467,337,
851,393,834,150,798,557,862,211,642,269,860,766,630,183,734,774,355,960,455,
363,708,133,579,749,791,614,936,127,057,730,915,700,412,698,515,910,140,730,
482,607,222,265,634,144,878,562,360,945,066,435,538,846,139,495,645,302,233,
713,907,117,081,180,705,055,473,003,121,221,847,066,872,431,536,381,027,918,
366,946,466,948,772,110,249,906,499,163,803,927,585,600,759,989,530,637,720,
298,694,596,725,249,519,936,657,825,229,169,672,494,401,854,086,773,987,961,
986,995,531,635,134,213,894,424,580,954,105,168,155,900,406,122,045,443,046,
194,020,753,960,611,844,769,646,333,004,854,900,042,875,312,066,426,182,847,
004,252,360,335,505,677,425,768,053,789,575,708,769,228,181,053,383,738,405,
854,707,064,184,082,460,264,232,660,007,727,708,960,616,594,803,785,183,870,
896,154,131,955,604,214,913,733,124,557,841,564,974,879,591,427,350,633,905,
444,950,181,813,777,267,981,926,531,399,261,161,864,222,296,679,292,316,673,
474,837,037,702,283,998,494,798,882,694,389,461,207,321,400,067,685,273,220,
929,606,625,431,713,138,209,674,731,039,441,836,620,368,175,234,556,175,707,
732,211,975,081,510,933,978,354,079,154,694,992,101,370,703,013,926,562,551,
883,352,832,355,821,817,419,937,759,263,779,209,863,150,653,171,123,539,170,
623,387,823,284,101,132,502,465,113,959,617,258,464,479,236,003,659,863,841,
859,139,469,666,167,222,367,651,242,388,677,297,642,800,493,315,131,419,527,
929,400,817,582,412,417,330,955,493,321,556,344,031,461,696,426,253,979,760,
936,469,845,414,323,769,988,421,698,807,065,748,490,802,061,211,303,035,410,
559,002,448,900,037,844,386,834,332,021,630,927,153,326,130,527,847,659,920,
062,793,465,102,935,225,462,171,409,175,725,524,015,831,890,586,932,437,013,
326,491,168,442,201,888,509,139,973,979,266,102,226,205,744,383,597,028,699,
714,433,116,781,640,114,832,540,091,647,950,406,319,439,101,720,429,599,371,
822,410,963,976,676,347,857,815,116,529,909,317,363,422,191,827,293,148,293,
688,014,048,281,777,750,672,550,710,582,724,624,797,892,713,644,743,305,180,
652,913,361,368,695,530,510,876,197,252,413,153,309,170,703,606,355,158,406,
338,093,879,913,894,940,941,938,712,827,341,110,343,325,516,539,103,720,259,
750,303,978,065,769,874,487,666,821,248,741,032,142,791,735,623,941,179,180,
340,733,661,874,508,074,411,648,807,295,611,202,457,044,040,153,717,402,655,
579,593,283,373,177,503,052,823,246,016,591,320,515,822,048,594,477,674,091,
711,659,195,577,591,045,264,505,015,124,147,274,501,571,372,763,685,473,485,
124,237,662,311,406,012,236,099,718,972,240,429,241,665,860,218,400,535,328,
560,040,305,249,492,816,370,219,264,750,367,686,115,905,205,198,863,243,220,
753,777,028,869,233,645,189,110,956,379,408,702,819,619,548,270,704,689,892,
927,896,284,743,221,755,359,667,440,281,083,688,127,624,764,676,692,166,892,
657,525,513,334,177,246,062,444,200,964,289,048,701,887,868,106,432,292,774,
324,259,105,447,994,926,694,136,323,087,150,440,711,192,416,071,599,958,943,
079,626,272,359,201,825,327,942,037,822,010,464,724,226,418,535,552,314,820,
718,029,846,276,244,723,308,403,421,176,851,545,781,974,885,361,030,949,601,
995,170,587,085,733,534,353,213,592,523,266,853,334,502,489,085,303,478,367,
045,273,688,969,858,023,390,339,635,981,389,081,573,422,234,681,162,219,068,
707,129,467,832,721,477,081,885,605,589,403,571,854,285,837,471,325,601,367,
791,431,405,327,221,559,408,653,248,884,445,594,670,815,422,610,205,408,155,
324,140,937,870,902,428,627,421,935,479,089,195,863,927,083,912,224,896,370,
602,216,167,222,923,772,035,042,081,629,424,010,388,168,573,260,621,554,228,
589,429,496,752,247,255,315,710,522,456,617,458,388,881,481,125,382,554,347,
051,704,655,046,566,930,387,799,903,657,089,979,929,565,988,907,391,102,359,
289,014,805,789,441,057,704,966,252,676,325,301,974,250,974,511,542,521,286,
928,420,491,007,755,060,769,303,215,651,484,604,439,731,272,518,013,080,433,
605,619,153,898,246,048,044,278,975,507,737,397,428,987,412,700,644,258,182,
176,068,435,473,781,422,751,562,301,849,258,780,897,853,919,448,925,192,724,
151,362,421,273,312,990,681,596,184,165,689,607,075,742,444,034,067,057,907,
314,848,495,826,561,071,721,888,356,484,636,046,926,307,890,699,033,625,560,
038,236,705,110,749,988,939,581,295,051,376,393,634,918,286,026,366,262,819,
687,678,850,989,560,905,272,143,053,589,829,263,933,107,730,830,207,297,982,
398,850,965,647,461,619,460,276,067,952,294,808,629,613,505,799,558,694,469,
973,363,549,405,851,338,573,263,383,623,208,964,348,689,930,934,576,012,681,
578,122,370,813,656,924,033,126,432,821,456,684,325,369,589,436,918,631,209,
296,401,745,868,506,493,904,050,559,095,685,361,958,971,120,038,738,575,298,
722,124,830,156,777,033,445,985,951,770,927,282,278,842,203,976,940,381,367,
541,819,922,091,574,238,046,293,677,439,902,071,461,452,776,614,318,419,439,
269,106,059,396,707,566,415,923,661,697,161,016,136,258,572,678,107,621,230,
514,003,994,480,685,342,698,502,657,576,498,993,948,413,525,432,326,872,956,
742,753,040,539,572,423,129,090,860,621,588,945,458,644,979,762,169,384,494,
738,351,932,581,076,400,318,337,661,252,832,277,850,038,444,919,295,332,234,
088,762,363,899,846,288,245,207,989,733,414,814,355,256,059,981,187,867,888,
626,544,723,175,292,703,050,550,930,235,159,670,666,973,137,989,176,036,030,
606,232,416,776,518,094,507,245,028,462,728,433,166,124,024,004,904,596,898,
047,452,742,325,405,715,399,859,007,204,681,720,733,931,880,476,783,055,687,
335,574,021,241,668,733,726,132,345,370,258,368,460,363,878,256,882,324,548,
753,157,919,732,891,729,912,782,704,246,018,645,924,524,496,092,960,821,544,
723,572,902,836,587,378,841,568,229,003,277,767,814,890,533,243,429,785,665,
122,034,688,073,545,204,771,349,418,156,869,331,766,061,163,987,701,969,302,
951,465,911,759,341,231,019,357,977,435,867,349,838,334,163,804,632,019,340,
231,181,026,957,308,062,288,692,401,884,923,691,125,018,378,952,051,533,002,
582,111,347,779,134,860,798,152,218,835,935,038,753,725,827,707,056,678,630,
989,326,348,076,959,065,684,991,229,596,155,604,321,795,845,135,494,746,024,
852,731,301,316,444,531,876,721,425,212,227,167,826,595,766,875,525,689,567,
487,374,895,847,845,694,727,162,848,068,465,832,933,206,966,979,020,444,145,
985,577,446,100,618,565,351,718,716,446,718,442,970,861,610,623,921,069,560,
598,973,482,614,032,243,901,357,809,745,251,606,072,798,315,216,069,015,192,
120,179,993,079,033,267,409,526,694,970,639,976,057,004,171,411,453,768,127,
303,739,865,563,195,868,838,485,295,661,324,475,099,965,693,927,559,218,220,
280,169,048,486,773,291,951,070,944,482,776,883,847,740,813,521,984,955,948,
504,366,424,165,547,903,104,008,563,010,274,823,794,678,375,978,692,813,898,
146,011,208,459,359,306,191,766,462,236,255,000,769,409,217,837,148,441,154,
358,244,272,365,839,938,140,716,757,329,289,826,636,656,146,695,388,055,807,
508,044,446,940,253,816,925,810,174,253,924,749,069,162,361,203,571,484,789,
039,542,609,575,503,592,363,986,800,607,622,385,424,387,675,378,170,631,771,
306,962,079,510,995,878,164,316,036,944,326,662,355,939,568,211,373,489,358,
483,792,878,773,290,641,679,438,889,336,613,709,505,158,717,371,743,170,549,
875,396,551,486,030,972,963,373,117,758,586,237,454,032,101,103,752,300,037,
731,960,202,409,990,373,966,120,818,924,946,920,708,135,113,568,387,089,730,
432,402,988,057,648,445,029,653,976,071,590,967,090,488,148,202,092,727,058,
667,519,218,684,238,288,989,825,383,647,345,007,688,868,274,216,443,696,889,
074,799,160,456,964,925,868,646,494,519,083,624,158,775,620,723,895,389,152,
882,884,242,017,174,054,892,335,661,075,887,427,497,446,279,296,825,232,972,
569,939,589,798,964,849,495,161,080,298,580,884,652,920,058,661,624,256,329,
545,911,687,316,156,192,685,166,580,199,762,276,369,190,289,169,709,708,384,
372,697,836,883,361,504,699,353,712,964,686,063,651,660,299,045,140,919,487,
247,971,817,648,685,254,711,499,904,202,436,241,192,496,105,165,864,672,493,
040,212,626,903,738,287,896,836,972,812,357,756,095,838,754,146,632,623,920,
500,141,272,705,628,257,092,367,994,046,975,747,417,090,703,015,034,148,976,
229,473,814,697,056,809,890,728,648,349,639,755,380,766,894,636,827,870,814,
912,681,689,768,496,664,931,781,830,337,120,917,941,140,536,921,368,856,169,
433,299,198,612,674,889,728,385,694,291,156,889,997,227,412,369,592,805,942,
365,489,507,441,811,888,678,268,583,457,830,234,897,735,656,335,944,591,527,
926,614,357,841,279,136,788,821,619,656,172,746,241,546,921,191,959,067,435,
835,029,598,422,260,693,644,716,616,035,096,396,650,070,440,158,866,509,813,
836,796,822,248,950,844,144,738,223,896,173,012,450,618,806,444,248,920,704,
673,222,059,860,018,131,129,063,773,026,015,378,420,825,624,195,842,012,980,
266,362,381,979,188,044,996,158,010,824,036,161,979,902,126,317,528,809,928,
019,851,473,164,965,353,628,411,952,038,567,475,322,160,792,154,279,586,022,
007,409,559,863,060,535,949,611,619,961,097,475,068,787,357,610,838,931,015,
518,302,022,991,451,746,932,371,185,521,451,957,101,285,034,737,913,365,266,
545,634,948,906,426,462,440,918,996,817,737,822,704,880,530,449,385,871,059,
064,902,709,577,466,504,214,699,649,321,394,483,570,901,379,623,206,143,880,
785,953,891,210,671,265,317,449,522,703,118,588,554,836,353,712,121,102,196,
741,760,619,187,301,314,504,997,607,354,273,507,460,777,755,506,928,515,243,
639,453,225,880,809,649,409,497,937,473,494,393,721,788,430,209,552,599,719,
166,049,761,981,137,410,743,611,586,971,027,762,080,562,861,639,048,744,841,
133,655,182,464,870,322,544,857,862,567,264,384,054,642,312,061,484,082,348,
052,381,854,803,640,967,812,484,726,164,554,669,046,825,399,168,754,870,220,
392,506,099,898,167,711,074,641,205,765,058,735,514,588,392,928,829,599,235,
226,384,635,409,491,135,322,018,705,931,794,147,273,748,683,395,679,343,841,
318,299,556,949,860,753,270,288,564,177,956,770,992,088,005,149,644,293,625,
048,134,970,430,353,068,723,841,413,543,011,534,516,304,601,822,917,659,767,
365,611,741,715,220,667,714,900,902,133,101,934,611,646,258,290,407,487,054,
879,448,714,169,100,366,785,062,821,114,787,450,502,270,378,352,266,923,664,
287,528,343,972,373,758,549,106,983,378,530,865,773,991,872,248,349,915,106,
550,770,011,287,808,087,683,080,232,341,722,018,116,727,785,318,159,172,700,
481,885,483,133,710,461,700,912,498,125,610,107,308,333,553,796,341,859,599,
629,356,663,687,583,768,735,799,311,217,373,632,875,689,319,813,363,496,361,
098,026,729,326,899,931,750,718,972,777,899,963,406,791,977,574,548,944,013,
930,414,403,917,191,354,044,233,538,518,407,872,689,605,943,211,944,769,706,
497,909,131,640,099,268,526,112,844,049,836,140,791,930,850,360,974,702,017,
393,020,864,847,654,182,452,319,250,319,529,673,393,417,983,149,158,345,540,
870,505,962,478,509,651,621,379,790,103,172,291,591,165,743,658,920,092,628,
886,785,781,744,134,423,235,607,854,605,910,899,001,849,502,673,793,174,053,
096,964,336,975,198,796,561,838,928,932,096,167,701,249,056,084,042,004,753,
268,729,731,656,223,625,434,870,266,757,628,464,697,268,375,829,071,008,200,
017,762,888,326,611,941,887,715,239,660,272,679,580,567,122,434,095,904,676,
721,056,495,028,172,091,279,771,374,731,145,913,230,397,297,084,601,734,891,
339,474,046,503,927,943,923,061,633,474,436,343,123,809,974,966,894,734,323,
782,095,775,206,882,429,846,777,510,078,594,616,298,770,239,458,520,168,441,
887,695,738,631,341,059,702,325,113,427,638,614,360,441,285,716,674,640,267,
920,298,360,897,369,250,576,753,877,320,416,288,005,026,945,997,602,864,041,
104,700,174,195,117,300,713,601,211,547,539,897,043,059,102,266,756,135,819,
962,813,795,722,782,449,154,439,108,306,269,441,290,222,841,394,860,166,704,
386,818,583,566,434,261,099,938,078,270,263,181,451,965,106,958,213,604,799,
181,036,700,195,765,891,385,276,024,348,763,438,204,522,142,010,336,905,530,
768,656,280,219,030,456,117,011,220,882,508,091,835,872,560,961,112,789,242,
517,518,577,983,741,461,694,637,666,303,898,927,092,733,985,801,206,233,067,
104,876,655,111,977,968,811,559,559,181,726,987,874,471,994,362,572,185,847,
893,284,130,435,379,126,239,958,881,027,697,913,262,632,427,260,772,749,029,
410,087,101,866,374,920,634,518,430,410,212,613,802,046,028,726,177,380,525,
518,446,588,924,626,124,384,480,728,770,323,693,449,567,593,382,610,899,716,
533,900,140,460,412,259,609,341,123,580,897,655,615,424,828,053,749,362,793,
083,853,523,250,926,669,913,206,014,201,738,850,244,500,290,641,552,295,992,
452,195,745,782,975,269,573,237,765,213,480,249,063,439,364,382,580,234,928,
680,392,916,991,117,276,057,760,478,593,062,509,562,865,782,227,247,719,759,
018,223,281,230,962,762,129,581,759,559,113,020,885,516,203,604,193,198,106,
201,307,318,276,676,223,482,315,222,167,816,686,084,102,001,039,488,704,734,
118,193,542,969,207,164,627,045,437,680,559,143,043,212,098,421,214,898,117,
685,237,284,441,881,014,543,615,906,340,645,601,231,645,636,991,182,139,082,
995,878,882,322,994,750,319,601,478,653,114,138,836,290,000,096,628,031,380,
283,978,890,496,949,342,675,053,831,293,223,351,863,999,439,295,699,423,444,
589,890,955,110,420,179,095,200,671,184,572,952,191,189,270,978,104,262,174,
337,701,567,524,226,112,426,282,679,678,293,672,265,798,690,681,988,159,320,
799,020,465,824,948,651,339,433,272,377,578,191,939,773,018,996,340,196,173,
133,478,988,642,982,964,697,511,486,486,177,750,589,845,849,420,495,461,886,
487,925,033,110,704,575,425,395,235,755,835,782,360,144,138,378,019,515,621,
375,002,487,741,773,080,184,318,373,601,380,296,939,221,462,700,501,004,751,
429,830,640,178,552,843,061,099,076,391,461,658,096,728,675,947,501,785,302,
105,265,947,110,518,742,381,846,201,535,227,427,596,116,327,549,766,294,832,
053,309,611,706,203,103,197,530,310,381,966,548,399,760,007,779,084,531,635,
733,188,601,834,257,402,379,427,188,009,647,513,711,179,135,316,001,609,140,
059,335,187,033,594,383,756,355,331,768,020,794,176,596,929,529,844,456,489,
073,266,800,193,502,757,883,411,108,214,279,548,849,906,211,472,039,775,170,
137,217,368,679,174,625,843,957,242,158,868,785,780,886,410,442,092,720,704,
342,620,783,370,567,757,068,682,463,825,466,539,307,946,893,306,416,864,959,
084,837,169,904,178,584,843,818,189,487,356,478,518,068,097,268,219,563,241,
402,372,214,310,944,849,599,470,407,123,012,581,250,406,190,497,082,736,937,
232,929,010,815,854,247,896,590,133,974,876,404,678,820,524,278,631,406,372,
462,300,723,161,726,445,083,336,058,570,807,480,411,673,895,687,555,139,044,
519,964,945,793,720,776,021,888,851,110,704,052,769,110,308,455,255,110,201,
201,071,490,555,532,319,612,452,008,293,191,893,867,530,266,915,140,062,671,
127,586,536,978,370,410,906,391,210,712,181,177,433,810,672,653,756,842,804,
924,436,824,565,762,905,062,985,610,074,570,036,211,812,694,919,205,585,342,
861,373,469,059,244,733,762,301,755,191,408,968,574,099,195,978,525,231,317,
482,615,704,679,775,348,791,827,739,124,187,331,575,807,924,789,582,295,696,
674,326,392,591,802,786,821,870,622,107,817,389,765,625,012,310,681,215,536,
629,608,503,700,608,279,064,756,451,457,821,249,981,520,116,642,746,065,481,
700,452,255,317,471,159,417,011,262,005,557,373,216,042,147,498,934,204,199,
999,240,237,664,001,278,490,380,186,907,194,203,655,560,792,704,805,802,421,
338,282,122,775,956,593,346,494,431,998,229,289,201,699,082,806,585,640,989,
781,310,831,091,365,263,853,349,890,833,674,004,710,510,128,790,985,079,873,
655,248,047,875,078,100,088,536,330,879,686,532,088,773,327,708,631,732,268,
845,751,775,143,157,556,667,658,085,302,488,572,021,702,557,560,078,072,059,
493,397,864,549,133,061,548,359,650,106,630,288,773,196,033,375,765,637,071,
847,781,280,002,753,728,424,730,197,286,532,158,279,028,609,187,230,717,515,
623,167,031,184,852,906,068,117,529,922,841,576,283,425,741,992,532,316,124,
968,522,327,996,347,006,481,648,215,083,163,055,324,175,176,679,366,202,898,
746,551,833,549,073,213,586,460,925,151,891,236,725,671,534,387,921,951,598,
134,194,704,701,987,379,971,068,661,443,802,179,111,113,667,544,580,962,538,
686,294,054,409,051,219,466,383,132,776,972,347,364,203,346,119,309,532,897,
820,097,193,554,605,096,220,628,907,290,118,823,832,443,944,001,261,623,841,
698,907,282,374,859,628,343,686,766,980,853,461,789,728,340,265,179,739,152,
766,984,692,555,123,679,442,315,114,240,507,773,528,594,284,784,208,455,671,
403,990,019,781,812,915,910,863,731,257,125,393,964,049,529,535,818,992,953,
506,544,347,788,128,930,590,530,880,078,293,687,377,751,488,400,929,336,818,
752,209,028,394,364,169,196,890,736,368,074,045,925,893,032,710,514,741,476,
115,078,976,690,662,704,445,488,377,201,779,256,338,212,933,525,993,716,516,
126,839,850,366,719,551,131,181,757,696,882,864,557,312,122,349,757,002,220,
324,562,234,724,563,576,080,413,562,002,873,768,396,165,945,134,871,267,850,
557,892,122,349,908,128,165,949,245,122,221,016,873,219,541,969,719,344,438,
488,477,018,171,731,778,652,698,171,081,926,376,544,040,842,421,101,743,840,
203,191,668,215,402,053,243,142,834,514,239,663,630,687,068,978,065,507,669,
490,900,260,571,178,985,684,096,793,531,460,909,178,191,287,020,071,430,495,
431,879,970,847,409,793,904,780,014,230,935,281,261,043,759,584,868,226,429,
684,166,416,894,433,575,033,132,364,033,028,695,390,382,291,924,478,611,637,
844,819,395,184,238,333,731,861,158,982,815,177,069,708,855,638,216,241,181,
811,864,155,985,726,952,158,868,011,796,983,308,712,227,954,806,874,733,229,
928,742,365,504,349,096,486,426,858,193,266,454,965,246,508,631,916,236,746,
292,800,635,907,413,982,098,535,490,790,230,987,786,886,858,095,509,829,819,
444,928,957,705,195,656,179,911,925,127,637,048,719,777,054,013,984,163,650,
566,778,033,386,269,515,013,433,921,538,064,199,992,181,897,126,721,568,143,
085,693,004,137,147,279,415,833,083,377,904,864,504,047,559,687,984,439,149,
815,236,624,020,720,598,299,410,225,535,338,915,338,238,573,174,888,693,949,
727,800,716,477,790,604,027,012,642,177,160,501,936,246,637,755,897,421,421,
307,093,702,674,392,114,572,208,131,828,166,588,079,362,168,859,704,391,253,
001,755,263,506,826,049,355,653,250,272,039,094,679,377,562,633,241,595,104,
412,899,588,754,102,189,946,257,277,234,355,110,265,727,880,383,333,528,713,
837,684,601,752,609,985,672,773,323,179,808,229,771,834,540,317,013,613,967,
013,233,957,339,124,928,503,887,021,038,835,298,757,647,288,400,067,798,204,
265,137,916,670,429,671,702,246,260,099,904,122,061,952,118,176,438,856,239,
942,904,582,715,222,349,562,426,095,929,961,153,253,906,386,761,811,845,476,
837,767,723,300,780,505,765,674,744,501,266,198,830,853,039,602,770,631,417,
522,465,689,765,205,915,719,811,334,251,375,912,628,210,656,829,581,983,953,
429,172,876,704,236,134,349,432,573,159,313,504,985,789,561,775,151,028,887,
767,301,850,636,115,358,099,185,139,411,594,486,165,126,217,707,110,200,929,
085,675,310,977,430,670,275,859,296,986,068,789,072,258,206,690,601,542,189,
509,630,465,060,397,833,213,875,471,955,250,006,778,529,361,415,133,140,456,
380,897,581,564,551,098,865,794,744,740,450,054,195,806,097,825,920,630,326,
202,507,708,766,743,310,352,398,411,384,304,183,296,930,516,986,627,229,451,
158,501,952,417,203,604,223,928,816,674,743,172,722,404,573,351,698,980,624,
489,511,641,135,361,837,232,574,098,454,104,386,174,040,423,455,465,738,869,
578,192,199,019,308,326,252,249,873,488,927,066,659,172,481,547,652,572,700,
142,877,666,759,113,299,296,364,377,177,183,693,223,218,926,876,303,975,434,
657,847,751,389,486,532,077,943,018,410,710,178,439,798,357,964,842,949,902,
481,546,325,575,677,813,914,408,927,283,021,089,923,576,033,270,315,260,696,
714,726,625,209,967,958,760,019,343,769,807,002,841,554,090,494,086,829,907,
718,539,158,148,887,157,370,331,444,632,252,463,592,427,438,701,737,713,831,
337,485,589,472,672,638,914,320,214,080,731,276,470,755,734,639,542,034,435,
270,397,977,453,410,671,934,769,278,025,026,627,843,855,927,612,353,982,657,
980,964,532,632,258,177,211,034,040,909,102,829,141,760,121,932,547,879,684,
813,136,850,429,197,130,202,809,428,139,663,431,146,603,391,252,391,240,343,
865,742,829,701,930,086,381,143,831,500,586,678,060,490,668,030,183,962,884,
044,142,368,294,127,551,506,316,429,801,568,363,627,244,158,768,173,145,067,
911,248,326,726,112,784,386,968,262,670,124,929,545,550,663,481,458,892,545,
985,785,969,906,983,577,411,994,600,077,171,386,122,461,602,896,224,101,329,
076,012,682,206,573,974,938,834,921,871,448,271,865,762,341,958,318,219,547,
401,191,267,578,403,526,151,810,912,379,081,019,847,478,852,995,644,579,407,
070,721,015,048,230,597,680,386,572,884,322,491,938,994,718,735,984,791,990,
722,051,225,462,675,627,026,704,103,143,924,161,020,929,344,651,288,337,103,
182,952,744,596,045,857,601,239,106,481,432,045,418,965,863,284,377,935,089,
632,412,150,624,476,129,109,326,390,346,545,120,510,165,661,572,637,130,766,
447,457,094,528,421,869,491,864,621,079,182,812,850,800,117,027,146,451,155,
905,826,113,448,952,402,578,743,094,272,768,096,841,391,988,316,253,873,987,
572,559,745,919,001,187,632,155,578,254,459,970,269,670,233,775,367,477,547,
119,946,752,037,857,269,310,715,238,872,310,442,912,950,657,865,506,769,216,
142,617,995,328,420,364,440,758,255,388,036,729,786,823,084,564,490,632,564,
436,997,694,294,352,928,577,810,771,850,901,692,042,507,465,074,679,323,233,
794,054,877,799,094,765,188,791,911,587,866,577,811,568,095,138,589,953,627,
834,696,198,694,647,010,951,335,722,181,072,764,627,264,199,029,566,792,064,
706,523,785,273,049,899,071,156,380,522,912,196,580,817,201,326,432,898,108,
611,966,646,211,022,255,060,950,390,216,954,661,122,147,629,675,919,216,574,
262,054,929,929,317,336,164,454,978,199,513,298,951,935,836,655,415,105,738,
129,887,091,527,060,879,804,594,543,229,214,048,025,616,239,656,963,803,862,
436,112,856,814,546,857,463,928,796,601,409,175,168,906,112,014,547,640,494,
495,835,853,731,343,369,576,052,691,301,239,674,491,439,516,775,114,323,437,
256,849,701,718,599,242,035,583,599,214,431,231,055,842,339,141,681,135,556,
411,822,751,054,649,480,677,681,162,109,699,142,274,016,885,021,904,183,893,
007,174,237,668,989,118,152,869,847,701,402,399,836,381,610,498,797,364,618,
052,007,795,519,226,051,507,780,885,939,754,930,679,657,351,964,310,798,675,
295,577,263,464,951,105,827,293,843,373,303,278,446,275,914,703,896,600,716,
916,719,944,082,143,585,455,937,394,048,513,203,553,024,534,544,986,988,241,
799,322,239,614,353,796,932,322,838,658,612,640,053,836,313,523,697,118,475,
369,819,342,022,594,295,823,233,746,842,104,726,140,775,400,165,536,365,918,
486,975,668,434,107,456,501,004,807,972,551,301,430,787,659,795,391,170,594,
874,421,086,735,802,400,333,272,238,550,490,731,238,249,020,685,251,790,643,
489,446,386,572,798,231,787,162,140,500,846,942,427,681,971,148,165,974,130,
383,631,664,545,325,176,831,853,314,397,190,084,724,535,517,654,832,653,755,
866,939,398,193,134,127,212,594,842,924,620,605,642,673,668,648,174,060,118,
531,443,529,846,349,977,883,126,669,533,301,521,022,415,022,367,256,059,935,
964,089,303,910,195,815,058,024,254,713,717,631,523,497,441,914,570,278,519,
504,228,851,815,374,879,205,541,715,408,375,370,875,675,122,543,918,116,605,
802,705,599,928,121,622,161,259,690,021,258,300,074,746,041,038,396,836,483,
050,509,380,288,527,317,351,017,762,658,792,196,637,005,508,299,769,690,229,
229,538,324,143,422,613,826,443,749,347,897,002,411,880,701,796,570,942,133,
819,167,116,554,075,036,733,866,008,827,659,624,050,734,003,705,207,745,416,
865,170,009,029,969,677,883,903,612,986,770,449,134,165,098,639,747,999,461,
183,282,028,223,299,973,633,886,826,289,987,249,460,230,403,830,384,107,544,
936,776,781,292,963,510,847,519,265,382,532,614,621,125,533,659,692,983,852,
085,760,198,030,218,588,950,340,674,629,789,865,022,903,492,997,327,257,554,
101,414,606,503,200,910,353,037,005,286,590,178,161,415,096,514,752,766,954,
452,548,833,159,271,031,482,823,942,681,747,996,413,185,545,693,626,531,192,
130,152,718,840,286,722,667,218,354,440,228,308,648,011,880,371,852,863,693,
658,000,239,104,192,975,866,686,664,169,685,178,266,200,902,276,482,553,322,
764,996,967,942,748,866,879,289,977,198,975,743,136,485,903,446,206,590,524,
211,619,057,963,228,800,321,348,183,163,780,883,134,176,628,153,210,002,377,
218,030,267,124,617,040,300,097,725,299,220,628,874,773,414,751,944,440,853,
879,654,241,950,901,856,479,315,847,643,350,296,297,184,892,761,175,448,029,
453,575,066,999,175,575,364,392,207,434,277,222,028,830,527,557,386,218,701,
812,951,176,354,301,304,476,498,653,736,574,672,881,463,478,195,630,232,349,
964,212,840,931,807,723,563,952,881,006,209,207,887,387,062,398,714,649,668,
525,536,563,751,948,546,811,818,365,527,986,170,118,116,139,620,181,014,173,
806,837,886,475,618,106,192,329,036,284,024,421,625,494,954,042,782,048,134,
664,712,919,311,966,060,154,150,020,224,716,461,874,048,759,353,288,577,234,
515,958,062,086,836,457,439,713,593,262,683,676,897,047,112,847,442,622,368,
041,780,556,566,224,039,028,809,868,897,032,823,165,734,469,794,875,022,765,
748,119,178,892,679,766,427,216,990,217,871,811,751,396,829,450,489,850,595,
075,717,014,653,249,254,606,961,693,412,720,277,121,250,416,891,149,843,988,
277,452,114,229,285,897,678,107,756,307,036,103,218,591,753,229,870,272,134,
551,302,421,374,540,040,482,826,061,915,376,907,811,289,153,924,583,030,181,
803,223,777,107,888,764,789,455,644,195,298,231,012,804,704,751,289,431,937,
945,590,697,485,064,910,316,230,046,189,151,337,276,902,733,355,755,597,898,
465,806,511,400,544,296,109,389,889,550,642,366,569,608,658,408,942,738,765,
154,309,751,393,595,061,721,178,158,901,469,185,022,061,602,908,441,850,329,
068,547,463,910,954,428,674,762,717,543,332,515,282,096,878,508,720,385,652,
574,542,062,529,431,902,902,806,421,169,699,162,323,151,931,434,417,292,785,
581,679,902,461,334,884,591,855,609,023,566,929,315,942,027,249,494,358,499,
890,276,541,978,510,505,725,786,344,501,123,797,943,394,265,004,257,496,984,
923,230,924,859,184,841,854,648,548,485,905,333,972,153,479,346,595,645,725,
436,702,210,139,159,148,960,128,252,243,583,168,008,541,681,049,280,590,316,
407,589,997,704,515,803,613,168,459,330,896,165,676,675,672,298,815,036,823,
969,267,484,630,004,060,067,475,026,780,814,885,938,639,262,638,590,692,884,
545,997,901,945,091,861,818,396,387,810,677,599,687,264,741,399,094,652,142,
647,455,161,599,202,012,565,993,903,493,541,397,684,514,990,501,210,352,254,
888,610,414,606,895,450,086,956,442,132,078,194,217,751,621,708,032,086,826,
460,536,268,138,328,614,635,234,660,840,007,256,319,313,366,821,104,619,868,
233,174,444,376,106,631,454,241,906,615,795,866,575,035,684,319,011,968,703,
305,331,114,791,010,099,891,240,214,211,084,498,542,379,951,970,615,101,657,
199,197,706,445,734,797,981,605,339,733,107,790,089,290,050,707,747,591,552,
691,427,380,312,854,855,727,665,798,570,719,364,449,132,084,414,500,067,795,
792,853,196,251,169,850,755,954,670,087,534,927,158,025,580,944,598,252,405,
865,733,601,227,981,128,946,029,635,995,049,000,167,427,967,313,791,480,265,
248,728,555,194,699,754,205,033,083,858,688,885,943,419,121,391,825,591,130,
456,223,351,063,018,414,059,899,459,101,728,667,560,240,414,037,682,803,086,
216,948,613,640,557,657,664,374,675,246,652,582,330,560,713,792,154,314,706,
223,744,043,742,823,570,353,779,033,334,732,390,793,637,846,858,011,712,311,
394,372,766,367,333,992,310,864,316,821,156,043,817,067,796,630,501,010,869,
883,026,332,495,076,470,093,649,552,193,320,212,869,909,260,232,302,754,186,
129,096,220,149,851,051,120,929,438,181,006,934,951,665,949,461,290,019,591,
849,407,345,271,577,551,457,114,731,642,245,317,269,195,517,926,705,152,829,
642,789,090,157,893,772,714,478,517,319,560,601,085,444,079,647,803,981,466,
144,031,556,662,853,274,205,969,571,219,160,302,535,476,038,941,165,019,325,
740,307,328,705,794,623,047,208,816,547,582,998,827,323,577,646,165,185,496,
047,184,358,693,270,168,363,199,255,278,245,127,372,397,292,983,278,334,381,
906,542,377,217,715,059,880,195,392,467,121,998,966,140,455,898,341,818,379,
081,845,122,557,332,015,183,957,727,451,659,574,872,872,500,280,417,623,557,
665,155,436,465,418,415,594,855,605,261,888,873,077,456,436,832,299,467,054,
342,782,163,606,658,466,597,234,856,352,064,439,217,556,625,168,178,297,642,
607,645,209,763,077,035,415,382,513,912,822,579,213,969,501,212,950,550,864,
917,139,748,840,839,768,017,424,495,686,164,930,176,496,255,730,440,096,166,
397,981,294,235,969,278,582,673,601,385,729,507,378,936,132,151,152,477,428,
987,413,918,709,585,596,782,112,855,408,515,125,059,470,304,433,487,678,669,
760,384,300,896,291,731,532,763,077,791,638,001,221,964,749,806,616,573,641,
091,571,172,953,033,806,423,142,605,452,547,868,077,378,609,441,037,738,409,
164,751,083,329,428,340,383,940,866,251,885,983,839,366,061,277,968,607,323,
845,435,982,155,184,581,200,159,397,013,483,060,879,613,839,791,636,147,890,
297,098,552,561,352,358,796,913,249,199,885,775,244,794,337,981,651,027,118,
008,468,013,759,559,584,575,572,826,895,683,068,799,683,888,802,105,240,303,
386,925,488,819,668,017,473,358,079,878,000,966,623,062,723,330,153,348,077,
332,450,489,972,891,541,097,892,436,322,510,741,753,803,166,137,972,490,776,
110,865,971,833,254,803,547,988,290,804,682,266,946,396,450,376,193,896,446,
475,802,563,114,466,421,934,520,243,385,094,335,586,716,055,939,181,360,100,
821,124,772,204,458,252,155,126,597,222,809,953,056,187,622,993,554,182,966,
239,251,873,036,439,099,161,697,815,267,345,922,818,848,215,555,243,406,987,
890,823,650,620,629,080,708,628,143,715,579,596,402,134,770,435,843,695,855,
053,127,440,169,366,744,614,867,611,358,138,288,660,821,477,033,723,119,776,
581,950,271,028,471,791,164,287,399,563,632,741,071,549,648,502,708,667,719,
188,975,952,286,269,167,716,319,767,062,455,852,949,442,066,880,533,653,672,
337,737,875,929,601,929,279,126,526,504,333,436,077,649,462,512,896,239,998,
342,975,256,621,724,236,283,787,944,217,384,610,768,589,262,327,839,394,679,
538,710,515,926,191,859,971,587,915,694,304,488,479,653,162,942,516,447,862,
808,442,501,668,458,933,212,196,105,370,054,859,568,198,265,623,541,497,107,
499,847,272,628,357,936,730,445,284,743,725,347,843,271,949,415,191,886,567,
228,843,152,203,138,608,950,449,325,272,551,905,232,185,809,607,911,560,051,
253,464,606,387,556,153,407,308,790,267,372,318,947,724,154,960,813,501,011,
790,422,315,920,349,680,446,730,640,392,787,260,973,530,836,475,293,900,817,
005,856,772,946,910,174,634,842,811,832,831,733,771,586,688,883,033,053,985,
475,700,260,758,431,301,328,727,605,198,326,223,887,048,366,963,164,310,264,
908,966,630,114,715,550,321,918,634,190,764,833,507,537,920,125,473,804,563,
548,343,488,082,340,564,453,353,264,261,584,226,430,477,889,949,022,624,640,
971,547,445,412,530,645,702,222,659,213,464,522,764,964,630,932,688,901,604,
944,383,179,210,572,839,955,486,855,735,996,473,532,318,255,650,640,451,067,
423,173,537,781,544,832,868,236,021,911,797,322,381,717,256,905,768,860,752,
806,697,630,364,573,278,087,635,790,512,541,481,869,454,888,165,082,604,523,
192,430,338,143,290,549,837,701,561,940,514,665,662,164,883,140,585,187,065,
582,212,720,208,635,555,422,305,549,403,890,558,218,005,465,605,528,613,647,
473,761,115,371,340,529,868,839,726,885,916,166,579,824,719,066,415,882,689,
563,743,133,215,707,149,091,571,781,323,416,246,634,153,820,112,387,043,401,
717,060,485,362,197,837,746,920,505,197,783,121,911,204,658,720,012,132,340,
655,617,624,904,937,893,237,945,785,774,832,857,832,223,405,595,150,433,269,
611,797,277,714,763,992,108,242,163,513,248,279,084,881,380,760,596,652,083,
782,919,263,207,325,832,072,521,447,439,821,749,121,348,876,751,461,615,044,
984,042,854,960,152,310,333,650,854,571,419,364,457,072,963,044,697,388,516,
885,765,522,596,294,259,215,933,796,417,716,492,203,756,074,739,314,412,118,
373,226,908,747,246,896,155,458,049,364,382,183,859,387,066,133,839,207,146,
897,633,862,629,256,472,950,756,115,080,095,868,979,038,460,909,554,369,648,
697,215,547,727,314,035,289,614,249,971,195,477,171,759,966,993,713,205,763,
421,459,706,163,027,725,447,517,366,326,233,494,610,291,218,023,276,279,522,
253,515,829,295,844,691,360,167,610,608,756,821,132,569,494,329,389,069,450,
304,436,736,867,205,244,600,154,693,605,040,267,456,215,759,484,774,768,605,
725,994,306,758,658,835,040,509,932,929,979,547,506,999,772,557,337,228,289,
453,211,471,562,211,797,101,575,460,439,932,996,851,387,258,026,702,664,194,
064,768,842,842,444,945,982,741,028,528,672,568,615,715,963,954,474,091,204,
461,417,814,099,436,552,636,893,384,261,355,716,732,519,978,109,985,204,011,
995,313,910,743,480,878,081,238,124,730,013,164,954,031,866,656,829,589,663,
511,074,615,954,179,115,273,898,377,001,919,852,198,387,489,446,432,363,467,
136,601,723,504,277,199,161,838,990,127,500,765,816,409,115,887,379,873,709,
356,410,133,265,714,803,616,369,083,127,785,496,151,675,880,466,489,667,289,
212,466,601,421,434,458,404,487,720,921,977,925,627,516,931,948,737,694,162,
145,595,768,995,180,392,646,054,998,936,344,286,908,605,054,425,945,294,036,
636,785,549,229,677,395,971,888,217,578,034,249,356,582,693,919,855,185,047,
766,367,641,888,778,188,238,529,904,322,875,753,184,796,054,670,045,817,077,
475,036,689,574,151,136,027,797,591,150,394,807,076,025,072,773,563,155,207,
514,038,929,722,123,010,023,247,188,793,316,544,392,757,762,220,253,953,563,
253,231,033,350,803,853,824,021,864,607,485,493,639,793,917,219,923,289,181,
354,567,352,766,173,152,693,514,968,486,654,389,750,976,173,927,410,613,807,
348,542,233,671,795,709,893,691,615,449,709,100,347,922,078,877,531,943,629,
837,494,825,971,824,427,949,591,092,422,000,290,008,618,328,356,555,053,311,
371,461,962,085,760,789,829,983,499,341,130,573,142,877,726,522,480,398,098,
411,047,932,518,497,878,051,124,995,360,963,277,202,163,692,422,426,580,136,
521,833,776,907,840,867,011,039,262,661,490,156,046,630,189,795,937,009,355,
438,771,576,836,874,442,707,627,617,325,620,267,301,823,858,631,799,225,783,
182,328,076,679,568,415,982,094,863,970,769,255,079,477,127,599,459,437,291,
535,683,142,898,879,487,092,133,570,731,126,113,015,877,215,186,081,340,044,
046,959,168,369,398,457,392,662,126,448,644,367,343,692,878,907,063,315,528,
344,270,034,929,554,697,875,823,734,418,042,510,098,111,674,627,062,228,984,
350,022,898,819,870,386,011,661,109,740,317,165,174,065,332,366,603,463,464,
476,755,682,366,517,875,087,856,583,319,618,853,503,630,041,043,876,189,569,
815,053,581,810,170,552,701,602,074,456,319,215,239,698,723,183,702,699,422,
941,520,828,573,676,965,756,685,817,355,451,491,066,037,259,428,279,472,896,
759,875,749,537,710,017,424,664,600,487,871,902,704,026,796,166,873,437,230,
232,425,082,572,978,709,353,148,105,051,630,681,462,530,247,636,701,343,175,
945,857,488,115,940,459,524,645,305,396,708,204,839,717,629,592,841,324,574,
519,992,305,896,190,535,576,420,801,790,533,891,227,877,192,664,137,382,085,
131,568,981,806,814,775,295,012,290,950,672,691,870,230,532,218,628,899,091,
144,281,495,607,211,129,440,560,375,065,651,696,395,685,560,927,686,211,191,
845,516,150,673,018,315,419,004,718,283,953,263,564,799,792,438,410,624,763,
580,079,706,083,855,512,434,608,639,947,491,855,766,517,226,946,978,719,451,
026,996,725,262,760,246,284,969,265,552,970,811,910,104,502,826,949,472,183,
927,882,683,447,106,287,601,512,229,585,201,076,128,475,694,957,142,569,052,
493,888,615,005,799,392,901,690,869,047,055,887,604,734,341,174,684,159,685,
262,714,563,612,235,956,803,838,923,708,754,662,497,744,011,644,148,639,791,
241,407,210,894,654,965,147,634,989,560,705,003,100,876,566,596,273,771,515,
156,167,164,863,583,290,796,416,545,988,559,882,221,092,304,208,162,350,763,
520,412,337,645,559,924,571,815,066,182,435,546,593,131,827,084,551,774,700,
888,107,846,774,949,760,695,335,953,574,990,855,009,960,404,652,172,304,365,
994,514,720,563,036,794,608,095,738,840,364,600,970,928,321,839,307,666,832,
784,723,564,654,339,499,039,522,385,226,256,135,347,588,465,641,818,754,019,
832,092,120,562,843,309,723,182,754,752,971,048,888,817,086,239,697,162,020,
600,434,001,399,980,740,111,505,187,744,458,514,671,657,861,853,151,258,352,
407,399,657,015,080,521,758,661,193,633,488,009,778,678,286,952,635,044,432,
863,161,945,399,613,372,246,096,896,796,511,984,005,322,478,873,996,148,720,
899,009,373,750,042,329,525,884,311,542,553,635,505,927,654,928,463,628,245,
513,773,022,270,981,501,965,556,472,720,684,149,478,068,036,407,191,335,245,
965,894,668,981,901,617,880,775,476,601,756,495,070,399,816,194,935,712,970,
900,759,246,306,216,635,277,285,676,377,124,235,810,433,967,729,813,964,077,
468,696,651,274,994,838,112,701,953,345,387,321,391,779,859,001,210,906,844,
594,458,710,417,564,546,426,561,041,954,473,033,848,066,053,287,231,354,863,
740,723,662,443,140,542,749,307,916,270,373,442,908,987,167,999,598,639,833,
334,859,512,631,067,424,785,199,726,701,517,277,094,692,394,030,112,694,285,
015,651,857,590,386,349,446,908,308,371,240,249,528,531,039,266,694,073,225,
382,752,296,842,977,909,102,281,419,093,546,421,966,113,620,592,336,036,710,
384,101,101,240,079,589,265,771,614,283,130,659,358,274,911,116,090,099,158,
744,491,326,530,427,402,355,659,211,540,222,397,503,006,302,065,712,923,120,
902,680,967,667,421,050,742,797,988,179,276,957,477,641,012,962,238,586,574,
044,907,517,225,321,937,043,199,161,694,733,646,025,380,774,704,120,920,787,
454,059,128,531,033,552,098,905,261,074,971,224,360,326,154,728,860,066,978,
779,396,708,932,307,599,077,031,751,338,745,620,269,947,126,683,788,820,829,
828,980,526,510,792,709,088,414,514,461,086,584,467,772,866,071,822,534,060,
246,978,866,065,589,909,812,989,456,679,529,331,248,051,360,298,907,964,427,
782,308,486,344,411,995,466,186,444,661,478,587,516,588,808,081,692,775,263,
055,738,492,539,190,219,735,386,000,146,114,503,987,229,020,052,977,351,780,
271,670,511,067,324,352,080,134,748,487,288,718,006,341,089,845,891,641,276,
844,724,444,005,521,569,641,841,880,247,915,950,424,447,216,255,495,321,626,
243,417,514,360,188,915,512,485,484,229,724,024,612,265,148,061,761,705,210,
644,198,644,582,563,411,886,858,087,142,388,829,051,543,604,647,071,433,403,
106,871,786,214,769,838,546,610,133,914,229,723,211,255,688,210,345,658,667,
792,105,145,181,983,247,548,637,886,874,586,233,761,389,128,718,046,701,416,
598,994,627,242,593,582,744,516,517,164,551,433,578,614,586,449,867,207,804,
076,844,147,125,965,332,281,490,522,537,024,926,870,284,716,097,502,923,018,
712,905,863,172,594,128,030,674,107,654,867,695,350,257,027,245,479,846,753,
688,641,698,577,233,664,665,315,891,346,981,362,323,651,540,016,479,568,961,
666,127,935,351,235,397,593,923,118,524,704,129,506,699,431,350,206,359,821,
555,115,533,112,102,189,586,144,114,086,892,997,634,191,309,100,570,152,165,
021,580,194,208,167,383,206,403,230,334,960,317,706,200,102,291,226,469,791,
730,042,596,943,880,387,033,937,366,086,421,553,358,096,298,596,148,898,563,
366,005,568,861,285,649,249,999,920,077,410,190,394,011,457,087,930,665,368,
567,702,545,926,052,821,323,573,218,443,955,436,067,768,567,734,471,377,303,
360,484,777,064,127,325,244,998,188,553,953,409,755,992,053,736,935,617,349,
189,904,481,086,297,249,682,724,533,321,212,432,589,097,458,799,482,835,340,
378,052,199,611,195,922,509,447,686,316,291,991,626,385,214,213,814,177,528,
330,957,541,407,489,421,485,111,887,372,495,493,655,308,341,766,712,051,349,
726,064,346,825,335,993,979,137,945,590,799,808,527,330,479,028,931,729,003,
387,131,463,979,632,182,214,494,495,483,185,018,858,460,912,378,975,193,304,
772,366,746,535,579,759,751,068,488,230,112,087,892,869,024,040,404,735,348,
002,228,656,967,939,662,465,764,849,588,020,839,036,473,865,423,035,602,359,
661,796,727,337,563,232,683,339,636,068,582,601,122,978,496,814,348,101,706,
307,525,826,023,050,429,598,755,280,256,492,456,284,101,634,291,622,443,023,
154,831,285,161,144,382,525,841,087,724,771,491,398,334,770,556,868,772,755,
851,265,144,963,680,145,154,717,422,560,685,113,540,476,635,864,885,166,352,
803,344,364,211,764,173,251,523,413,461,168,165,240,940,501,195,220,046,303,
283,789,952,615,047,041,181,794,015,924,214,422,236,655,679,659,761,449,018,
811,538,060,223,581,979,286,954,760,131,745,622,860,057,861,265,872,177,235,
517,648,291,072,284,052,455,600,745,149,242,825,050,762,203,253,687,293,849,
696,073,717,233,521,045,554,933,296,469,124,117,501,661,796,835,259,782,342,
412,464,817,773,367,634,211,618,138,353,374,360,279,602,395,787,299,991,752,
284,417,648,044,272,880,868,050,219,546,103,183,235,341,208,670,300,500,453,
566,579,691,770,066,307,480,587,165,029,228,573,230,298,714,917,070,751,267,
808,032,231,785,770,755,388,228,623,788,883,359,626,472,672,249,191,254,490,
052,284,376,458,398,395,576,321,356,696,673,171,036,148,063,456,836,016,238,
901,874,957,203,076,180,743,987,288,572,929,883,653,528,219,025,495,334,487,
118,058,454,113,635,124,585,075,092,639,774,497,276,390,935,610,329,315,311,
082,320,511,561,260,576,868,003,095,904,379,018,151,122,850,083,323,132,557,
718,262,174,145,509,311,374,056,737,985,767,634,011,415,903,864,619,180,095,
629,250,107,274,565,883,863,569,328,483,102,881,276,080,189,426,269,724,645,
757,108,868,449,229,325,910,386,478,770,490,713,855,836,972,251,828,314,904,
033,234,940,056,051,558,673,959,088,903,392,394,943,201,931,243,232,819,910,
125,003,914,870,723,155,205,801,658,962,134,004,028,623,866,888,207,504,341,
738,342,048,451,407,424,083,772,887,129,495,229,993,400,710,521,005,043,400,
152,327,350,740,837,587,820,936,677,006,714,823,563,742,334,709,064,471,468,
243,982,917,836,829,198,197,667,220,542,563,964,208,272,681,756,191,516,870,
730,294,503,270,505,895,488,674,464,220,757,660,280,522,175,341,278,290,701,
096,372,194,048,012,703,927,531,604,891,281,433,529,315,602,173,207,909,517,
500,584,527,836,499,400,813,402,445,094,172,337,401,509,240,336,981,833,047,
830,381,929,421,401,551,159,381,877,608,344,233,663,335,460,698,655,521,939,
904,254,286,460,794,555,993,399,982,649,966,131,051,726,015,693,707,556,396,
205,091,391,003,441,374,687,566,699,681,123,627,732,956,731,609,168,335,691,
711,530,696,347,308,936,854,015,457,242,897,730,062,862,541,311,804,840,634,
029,343,873,543,824,963,262,398,945,593,974,821,465,098,494,382,916,216,645,
630,631,036,110,135,071,606,942,887,696,283,256,043,244,161,439,410,268,660,
539,749,843,712,680,190,255,742,774,260,698,992,593,521,301,871,692,761,372,
888,022,425,719,075,960,121,959,724,315,833,813,631,784,910,083,206,752,715,
323,943,966,506,407,777,713,101,236,114,362,367,278,050,212,362,507,775,343,
355,295,268,718,359,631,345,972,657,630,827,829,219,783,115,694,389,019,558,
355,882,830,966,751,086,750,960,319,779,132,204,428,250,538,208,489,169,184,
051,381,040,726,160,630,078,461,073,138,765,715,241,101,356,688,058,091,208,
870,191,142,803,193,287,228,650,873,909,289,017,346,614,010,736,258,170,682,
857,922,396,973,223,289,523,456,125,137,877,680,821,895,786,966,651,743,023,
763,591,200,166,722,841,172,743,724,925,690,155,577,447,705,019,751,138,044,
895,841,335,752,853,016,340,908,621,022,637,044,104,909,753,945,549,432,785,
509,523,844,400,873,942,117,670,683,299,886,831,597,494,205,590,040,842,848,
111,542,024,541,367,905,006,739,939,678,972,117,323,030,173,654,812,797,365,
225,621,191,607,744,329,200,208,726,964,253,557,368,308,662,455,999,426,454,
974,440,739,394,356,646,978,543,792,221,425,857,141,796,390,246,523,136,600,
977,471,400,672,250,184,843,399,354,229,127,520,369,404,555,971,447,122,790,
042,473,416,321,976,796,896,993,931,354,373,504,750,882,123,913,328,392,206,
230,254,392,658,776,089,877,462,041,548,861,867,255,742,500,615,297,579,569,
983,474,253,194,916,977,820,246,671,880,686,523,917,230,823,144,756,711,943,
206,355,266,062,783,292,452,945,908,315,523,330,874,833,871,467,118,429,581,
620,555,934,338,001,597,750,865,434,294,429,294,352,367,041,883,935,090,012,
073,901,769,527,920,696,004,465,275,485,859,307,477,210,756,403,386,141,420,
096,641,376,092,972,816,062,306,854,599,848,669,119,702,707,326,113,988,365,
054,430,446,877,823,110,661,081,794,774,348,169,450,430,304,239,865,827,876,
046,245,329,628,487,071,337,787,962,109,179,923,586,564,198,578,451,180,138,
608,546,125,901,160,511,639,989,028,835,358,887,098,089,525,135,406,478,801,
214,801,636,757,129,693,525,877,294,611,257,513,884,147,335,735,966,214,780,
005,214,212,684,707,872,497,172,887,656,791,903,055,090,800,715,742,667,410,
433,981,019,221,862,049,903,769,715,644,176,947,713,275,911,472,770,356,281,
580,203,111,724,556,810,010,104,724,251,078,315,654,481,973,951,675,176,251,
323,583,501,425,880,510,103,992,446,320,544,975,597,325,054,788,315,290,841,
143,573,651,251,415,766,654,916,415,528,744,219,977,334,924,814,421,919,715,
199,623,107,183,969,799,637,969,762,071,354,635,930,383,882,288,616,910,854,
377,688,068,455,044,813,601,273,633,183,388,017,591,331,116,983,214,336,758,
142,628,274,073,121,244,512,892,636,903,662,709,183,609,976,910,096,281,722,
369,359,518,377,400,248,572,300,678,067,189,128,764,111,634,472,167,618,623,
697,680,450,605,321,131,278,085,382,836,878,727,371,296,300,404,102,479,339,
741,085,523,605,887,394,967,447,444,353,808,534,799,896,381,245,806,082,530,
400,332,547,491,051,007,127,837,814,105,099,478,370,303,604,000,165,471,025,
301,328,680,489,558,311,744,309,030,389,752,611,827,464,671,927,984,380,404,
564,436,579,143,214,954,945,349,849,994,596,229,856,592,543,202,337,336,638,
638,788,979,288,793,991,487,209,916,042,566,293,052,664,056,702,911,592,787,
321,754,493,764,103,122,054,587,856,946,189,303,889,153,754,147,801,181,437,
441,911,746,661,110,993,592,925,768,925,923,652,727,225,937,050,648,901,306,
334,299,998,767,476,600,066,742,615,657,967,190,694,769,729,776,954,062,942,
705,883,846,310,585,848,744,782,578,779,452,046,801,848,239,479,134,502,986,
214,761,261,231,494,592,893,194,297,584,717,774,369,171,906,955,613,820,973,
553,888,334,981,687,641,945,329,824,879,443,938,958,499,500,649,446,516,145,
180,230,460,064,567,379,561,981,910,832,797,306,973,728,591,417,953,078,908,
361,862,572,561,475,264,676,627,253,809,224,274,925,791,129,796,003,581,160,
595,411,296,537,632,654,139,046,714,903,966,213,517,921,541,085,587,674,340,
141,848,253,835,792,656,261,687,684,530,311,214,371,613,441,034,685,256,721,
132,651,439,636,105,613,935,680,257,399,629,248,415,165,266,324,548,999,267,
653,492,110,489,370,579,148,901,336,224,729,658,691,222,822,705,809,210,027,
672,084,643,133,319,957,285,845,856,263,782,743,890,927,185,316,428,953,175,
034,832,090,403,879,217,893,494,399,655,801,642,695,624,922,700,595,083,353,
678,396,854,950,718,686,371,029,450,031,858,575,058,979,563,403,095,840,579,
787,449,098,264,773,988,056,253,582,022,911,843,674,329,269,529,151,150,661,
342,539,610,810,429,441,667,821,942,442,747,232,356,358,589,789,712,463,157,
462,890,489,747,421,931,320,236,885,194,662,833,022,318,035,853,854,090,371,
228,963,277,695,778,345,591,097,445,939,987,384,995,343,953,335,411,014,165,
838,949,704,119,107,243,158,571,393,651,546,226,604,572,351,243,196,347,065,
496,020,550,224,900,780,440,333,958,782,533,012,216,666,286,594,098,132,197,
555,471,425,677,671,080,281,105,510,454,607,770,197,072,465,635,469,721,934,
610,083,662,560,943,100,029,422,951,694,756,521,537,312,320,618,258,334,916,
601,321,423,338,288,346,612,910,343,424,027,816,167,567,503,305,306,966,180,
512,153,588,017,487,469,270,151,630,460,038,550,408,158,859,352,761,147,547,
218,820,757,170,910,263,458,329,402,511,782,490,884,026,657,463,258,107,756,
144,953,071,186,672,337,669,329,117,440,510,011,452,709,355,723,734,921,045,
966,540,838,952,219,699,965,455,010,694,379,528,126,617,727,463,550,826,524,
797,073,410,036,125,467,218,040,862,594,057,994,388,666,973,810,517,560,292,
108,846,209,421,539,230,684,710,675,946,952,131,320,376,871,971,008,405,225,
086,431,936,753,765,886,338,386,249,210,104,834,389,103,328,789,371,660,172,
653,142,775,543,226,572,339,788,800,544,274,612,985,151,311,162,786,840,695,
341,164,864,603,532,649,085,568,207,954,764,235,790,817,884,092,952,010,950,
999,149,243,233,380,241,200,716,337,011,849,737,601,327,572,754,206,863,655,
881,311,175,273,527,350,233,166,611,794,135,779,570,303,513,208,773,751,575,
788,510,511,296,057,820,434,044,012,131,197,541,216,316,514,877,912,380,574,
599,766,796,017,509,916,146,477,062,573,705,931,137,068,137,576,322,643,989,
756,468,821,635,749,325,815,541,994,116,349,758,608,239,920,821,782,588,977,
560,232,251,908,715,900,347,223,511,474,482,151,675,016,448,508,448,267,327,
894,903,376,341,539,462,013,166,315,049,792,225,709,646,708,748,050,782,179,
085,626,514,967,338,478,084,059,854,565,895,380,190,675,106,741,934,039,344,
083,916,572,701,718,674,924,711,632,909,123,802,122,371,915,482,261,419,053,
894,264,543,115,451,756,489,042,072,411,003,359,105,844,483,649,959,358,594,
913,747,392,143,932,262,430,766,521,745,595,881,119,994,390,324,807,937,565,
138,419,971,289,100,708,734,130,897,490,348,294,799,894,818,084,154,473,680,
770,747,081,710,560,907,043,619,510,739,314,725,219,983,992,103,897,084,632,
034,658,800,848,328,324,375,350,740,985,622,265,168,487,577,108,145,328,641,
115,546,050,921,293,654,493,301,060,055,259,178,888,959,946,617,633,881,289,
113,028,945,913,520,891,166,884,224,514,070,425,760,043,218,580,923,580,538,
987,601,746,339,165,555,639,649,669,669,581,522,766,246,139,010,376,636,048,
391,849,204,272,333,072,380,908,142,262,701,252,724,276,785,539,851,816,596,
069,896,874,321,172,189,126,581,220,590,941,242,876,110,134,658,553,243,942,
766,492,531,206,223,029,689,374,473,614,785,781,329,120,792,718,533,757,488,
048,102,455,478,106,761,245,272,787,057,683,626,009,830,887,040,899,472,359,
108,176,504,339,991,464,813,296,313,669,685,209,181,300,166,845,403,323,873,
759,714,695,638,189,110,101,685,014,069,820,256,752,577,176,534,876,187,578,
595,878,944,395,179,079,312,316,136,411,831,572,052,148,664,741,843,115,230,
872,903,866,229,559,888,895,692,548,512,468,611,146,725,153,249,080,949,486,
399,555,818,546,007,902,870,127,080,415,767,288,695,147,428,424,822,436,024,
556,475,894,413,214,031,934,433,132,563,339,271,826,577,602,025,421,671,489,
938,240,544,087,724,811,341,954,010,019,759,608,866,254,168,540,261,560,350,
798,099,946,591,634,028,341,456,852,465,922,222,146,725,683,261,313,300,794,
857,768,457,348,001,286,682,368,521,189,979,827,676,361,429,483,366,436,900,
721,496,107,799,938,381,947,133,597,908,811,675,525,811,592,043,722,007,675,
146,126,186,939,985,956,040,035,828,926,961,148,580,424,034,278,196,478,503,
527,957,143,826,687,608,849,318,793,543,379,068,582,495,926,007,022,517,817,
932,406,395,165,237,577,132,259,547,586,521,614,704,682,517,587,966,976,885,
229,024,838,823,288,222,216,167,843,425,921,640,561,420,445,461,414,161,772,
984,919,548,163,329,656,116,889,457,919,275,144,992,464,237,066,086,602,055,
059,498,954,467,203,152,909,659,080,006,346,763,004,147,426,042,237,808,476,
684,551,945,776,223,017,582,459,411,853,389,643,021,780,260,007,747,451,052,
268,150,712,090,916,772,652,647,241,740,498,381,298,522,954,682,199,612,831,
967,022,209,412,580,288,893,435,948,278,154,568,072,739,168,571,850,068,664,
350,867,151,464,876,788,863,867,620,210,692,344,308,845,965,673,764,845,872,
925,497,902,494,284,881,925,878,014,572,228,594,009,722,767,095,669,597,818,
697,158,256,559,110,440,984,585,630,926,891,592,629,393,460,998,689,599,107,
931,184,247,426,737,422,347,254,441,828,724,149,974,366,324,158,794,834,460,
036,535,262,624,954,500,838,539,547,665,513,550,371,500,080,645,693,541,284,
190,638,839,260,126,293,210,816,751,245,289,054,172,214,444,085,422,154,975,
231,671,491,216,386,591,355,171,064,274,063,193,252,573,604,952,343,700,301,
736,289,156,295,070,032,857,004,115,655,099,116,920,344,161,990,008,847,988,
295,639,221,778,240,389,770,423,483,025,915,331,273,175,738,143,153,102,285,
131,571,460,513,548,208,861,122,060,262,435,332,222,748,629,358,364,570,330,
913,876,540,062,193,687,162,594,378,047,759,787,895,890,695,599,214,371,774,
100,709,426,603,326,566,417,888,886,997,601,124,898,785,292,392,277,383,097,
414,579,655,028,761,001,176,417,764,827,080,331,592,012,242,124,701,188,111,
230,859,625,477,544,571,852,730,634,767,568,858,035,577,245,963,189,068,646,
910,516,076,599,185,369,646,768,534,750,911,084,738,768,678,821,390,269,876,
262,148,374,341,158,964,431,448,026,672,613,017,558,653,278,401,140,427,369,
785,475,936,291,106,639,213,886,138,666,597,566,129,441,267,974,536,930,401,
928,085,150,286,049,437,098,186,784,875,475,566,797,082,802,087,269,596,615,
224,146,748,359,226,804,563,455,270,119,639,301,144,253,671,497,792,589,435,
573,873,326,079,157,945,315,901,101,272,149,305,079,020,383,366,671,101,345,
315,835,061,749,995,713,368,996,072,847,475,295,527,373,401,428,329,641,773,
926,679,805,730,225,511,013,186,166,941,835,096,362,808,098,767,415,268,232,
666,008,264,907,724,321,849,113,622,993,633,264,459,170,664,663,156,501,179,
314,476,669,267,586,587,921,633,639,423,281,526,690,735,669,078,241,825,416,
784,878,661,597,860,828,136,685,554,590,963,591,848,924,324,854,605,833,887,
624,114,265,585,007,274,265,766,673,532,712,868,182,409,973,800,975,171,696,
638,634,048,620,991,671,180,313,764,848,488,060,592,539,271,831,138,630,213,
114,574,326,684,862,834,753,212,881,023,518,484,756,664,135,174,870,347,307,
294,897,856,909,912,507,685,111,002,713,986,136,629,786,329,393,429,158,571,
067,027,983,094,090,817,164,211,903,818,148,711,102,461,847,380,383,691,023,
252,529,345,834,230,251,590,284,414,652,855,268,262,605,780,332,315,350,462,
839,801,768,550,585,971,419,490,891,255,084,222,271,522,707,612,026,098,165,
384,724,063,592,679,767,736,530,263,237,078,671,643,773,429,880,267,879,364,
378,367,513,989,146,129,105,037,682,467,173,240,689,308,975,851,500,863,838,
623,619,663,488,283,907,509,721,439,019,814,440,425,158,671,718,146,799,624,
513,472,292,014,560,063,532,942,603,143,168,031,865,023,679,884,745,912,367,
706,772,421,073,957,482,347,948,341,085,367,074,198,815,263,142,776,425,369,
302,838,526,967,633,683,012,880,765,372,117,704,377,647,356,455,023,403,729,
390,724,359,758,590,705,539,014,605,608,471,643,473,065,341,508,457,136,344,
935,567,031,976,150,282,027,851,550,101,251,720,522,379,337,914,221,930,525,
878,987,438,307,538,217,589,182,319,523,248,420,709,437,948,344,919,574,426,
695,704,490,944,289,817,502,794,716,042,650,918,298,020,682,549,127,793,931,
959,590,527,046,087,188,259,489,292,680,414,591,977,266,755,545,246,969,011,
975,750,394,208,825,486,948,715,097,622,157,668,810,729,185,008,861,545,036,
636,180,606,113,450,332,569,926,265,163,989,888,268,989,353,440,686,269,930,
140,723,864,591,327,319,065,355,254,021,817,348,467,908,536,975,752,051,559,
916,505,926,195,236,912,332,195,393,975,228,847,270,507,754,217,352,592,855,
948,309,126,235,493,384,244,455,108,809,945,392,539,709,048,199,530,707,386,
637,412,493,491,568,052,009,509,501,256,339,753,891,990,749,965,465,746,775,
794,977,762,105,671,170,699,890,756,770,317,239,334,919,167,981,970,067,449,
027,752,630,154,105,093,344,968,202,817,968,087,023,671,947,131,038,038,902,
273,077,148,178,312,401,721,794,546,308,213,453,871,649,229,636,045,016,427,
147,991,363,005,421,932,997,146,221,983,522,410,482,362,009,090,435,384,744,
074,973,165,945,651,635,982,713,434,385,747,779,694,665,348,743,024,249,752,
836,254,493,409,290,428,317,563,223,752,593,298,004,768,453,731,725,709,167,
763,697,797,951,599,826,351,563,661,174,451,494,248,969,344,575,697,525,828,
362,001,582,277,531,152,719,174,917,010,302,566,691,963,451,626,634,482,816,
069,275,670,300,754,203,783,555,278,455,214,515,833,956,105,947,707,745,391,
326,064,722,610,584,842,089,877,603,783,205,735,845,948,269,369,580,507,812,
472,642,602,889,287,636,863,384,254,692,561,168,163,242,212,180,318,643,612,
544,036,515,108,423,172,977,612,940,466,791,165,835,825,369,289,676,647,182,
250,829,821,160,453,080,190,462,954,293,107,367,095,251,738,953,242,793,547,
837,972,125,864,269,023,963,871,154,080,216,787,529,615,961,100,764,290,883,
450,591,169,602,780,088,041,302,204,964,316,845,899,171,236,990,500,352,595,
459,307,872,998,721,860,444,388,748,143,409,846,280,754,815,886,928,926,877,
032,166,002,800,989,212,632,989,894,487,906,866,257,692,013,098,249,693,364,
261,177,494,296,028,148,083,678,111,234,341,668,215,164,873,920,587,511,974,
648,642,832,875,812,910,670,825,410,300,314,878,906,351,494,789,105,515,123,
369,794,916,127,161,835,981,869,875,340,252,348,743,135,511,273,378,761,866,
390,069,555,107,389,054,390,709,588,322,258,813,713,589,570,844,829,757,270,
864,777,830,505,317,535,498,156,879,232,682,068,849,580,106,088,516,404,243,
641,409,593,541,948,779,441,093,825,061,798,958,480,373,372,331,643,073,878,
378,589,798,857,820,926,581,519,645,868,625,233,587,557,784,451,475,638,123,
782,085,718,347,050,954,902,007,791,287,083,932,359,205,217,001,945,272,031,
028,032,461,878,473,921,048,337,789,063,633,421,915,210,606,264,565,830,999,
779,033,930,295,369,836,335,553,386,677,621,904,657,395,215,753,152,101,921,
979,378,545,094,657,133,242,599,216,070,222,739,440,372,981,352,094,881,522,
775,398,035,597,597,543,010,511,010,011,760,591,082,101,607,244,446,084,629,
557,371,823,106,391,039,631,395,144,583,707,463,807,872,768,156,021,553,429,
893,012,281,076,421,265,640,402,008,398,995,896,887,166,192,671,709,153,511,
151,473,852,046,869,064,029,774,050,430,907,709,416,051,337,168,156,647,394,
461,941,172,716,752,096,864,508,058,520,359,332,799,506,117,034,623,547,745,
507,628,234,679,859,224,384,805,156,954,669,527,915,153,062,464,034,208,476,
413,026,149,110,613,477,909,783,692,270,199,098,477,216,138,780,251,680,822,
777,053,425,624,953,907,973,943,867,848,342,521,920,220,836,098,418,059,788,
814,694,400,074,732,105,041,074,661,801,762,447,080,729,843,153,132,399,710,
312,072,344,417,518,575,969,018,991,997,733,754,973,349,883,104,173,413,183,
963,272,466,876,875,571,575,408,980,691,390,163,256,396,578,432,070,797,327,
121,131,003,074,800,461,260,008,934,712,019,203,787,017,719,889,898,738,916,
895,475,325,970,649,774,056,343,271,048,852,540,368,613,474,266,704,552,212,
998,300,073,884,129,377,418,992,418,575,651,088,751,071,536,799,796,575,741,
435,932,058,892,267,476,504,109,195,563,252,519,056,692,923,408,522,309,168,
070,146,889,090,215,915,040,541,528,186,246,715,458,348,625,267,662,191,583,
224,036,184,177,369,606,628,391,479,624,881,923,772,739,182,936,805,131,586,
768,810,543,032,465,443,021,649,248,120,243,034,685,220,473,312,648,840,456,
627,678,122,308,913,930,082,197,765,769,010,842,382,781,820,385,046,157,566,
617,220,900,619,177,421,706,916,905,510,673,079,542,060,584,859,677,698,904,
112,045,077,160,173,344,700,067,298,870,971,176,995,995,104,522,653,597,609,
819,303,421,618,490,005,334,011,541,826,150,869,367,082,895,689,422,850,228,
127,295,885,803,481,745,643,007,721,631,884,650,099,561,446,176,116,464,577,
802,128,181,218,254,504,869,986,774,456,742,345,760,687,964,439,495,250,175,
708,365,597,026,573,439,667,358,897,154,944,808,942,684,954,702,091,690,201,
525,280,449,325,958,342,771,549,651,858,342,053,152,661,962,451,666,296,351,
598,445,857,892,957,600,388,782,717,471,056,415,384,846,684,824,560,444,396,
344,747,335,548,595,635,452,287,015,949,470,610,892,110,452,376,284,578,942,
513,672,138,746,584,748,968,324,369,661,537,621,499,580,217,761,248,084,128,
595,801,383,755,226,425,658,311,716,046,113,325,952,475,138,694,095,446,794,
335,595,134,340,412,535,480,722,813,391,172,882,956,968,665,839,026,239,547,
500,472,671,888,932,055,165,913,992,350,044,038,802,200,580,582,823,016,631,
120,745,136,662,405,864,055,894,001,750,168,660,393,947,977,082,844,685,578,
697,213,876,724,163,931,669,906,908,468,370,189,264,857,423,495,514,206,919,
362,159,167,916,904,493,438,879,452,209,646,696,914,007,816,468,092,187,317,
638,049,249,594,175,736,793,394,731,657,333,009,649,246,979,802,809,709,072,
575,130,757,090,477,848,833,566,566,881,519,158,976,812,686,818,309,251,438,
015,382,209,580,243,803,934,267,237,792,170,824,455,779,868,348,277,659,028,
353,356,556,857,520,112,454,690,039,672,889,238,352,856,400,154,175,460,588,
515,269,971,803,586,790,552,139,155,844,752,568,570,299,023,982,179,377,302,
986,655,949,907,122,253,777,551,572,395,817,341,860,879,935,487,277,452,127,
973,594,902,239,983,285,207,316,193,297,367,100,142,038,741,203,502,097,204,
689,667,724,572,891,446,916,535,978,484,325,849,843,542,051,892,663,725,313,
585,704,760,182,773,013,570,151,281,342,150,255,000,838,557,259,389,072,809,
914,693,282,170,965,976,451,049,795,014,075,385,947,810,559,968,931,925,224,
634,525,120,936,141,517,264,827,995,869,399,476,217,160,418,134,043,916,131,
202,465,014,893,354,060,246,163,215,178,133,378,448,704,468,035,803,388,281,
386,538,465,176,608,389,288,560,509,118,738,831,353,169,494,375,748,344,292,
180,209,835,506,168,564,197,626,174,135,388,156,387,992,958,367,835,802,795,
086,581,795,158,327,865,538,599,233,870,262,951,767,503,143,652,898,350,284,
172,669,061,138,051,850,581,172,015,401,697,039,114,730,248,818,080,386,832,
002,730,722,324,344,497,890,506,263,406,244,789,980,919,265,257,831,163,447,
435,242,093,778,806,264,453,902,519,928,706,130,002,142,843,093,560,740,884,
638,124,262,457,521,358,405,323,729,884,642,486,787,770,990,034,222,270,405,
703,164,519,595,254,388,330,704,495,947,542,692,432,210,845,009,386,399,041,
981,924,022,460,018,979,676,367,856,103,445,576,758,295,943,452,905,741,108,
963,260,813,981,186,117,400,656,420,112,781,331,650,235,746,637,577,657,498,
783,281,689,972,646,714,800,232,391,001,498,065,017,634,643,591,404,519,852,
026,249,210,042,919,287,706,071,486,952,947,457,924,679,532,964,442,770,373,
643,109,267,103,855,187,371,344,186,356,126,042,486,311,801,243,694,388,969,
410,386,404,076,321,958,635,177,837,069,886,495,442,910,105,134,407,711,394,
913,340,251,611,131,869,434,251,144,940,373,546,535,277,401,349,361,605,098,
755,338,919,945,265,897,364,039,984,305,332,059,925,592,437,754,084,838,511,
458,944,437,956,541,226,120,105,341,210,989,585,829,120,013,312,758,178,587,
683,014,673,061,882,436,178,064,976,456,478,187,411,390,542,165,458,349,106,
961,658,753,549,688,637,134,816,545,375,998,495,731,272,481,945,771,752,688,
663,553,597,400,045,439,755,212,253,225,895,978,546,896,827,629,472,655,822,
812,307,251,859,432,537,374,014,656,480,747,654,440,173,623,184,108,505,858,
427,283,018,792,059,868,742,375,208,367,732,552,529,388,740,166,082,743,283,
728,176,448,184,272,276,327,201,360,655,686,157,644,980,034,131,287,283,674,
677,634,927,127,682,162,277,177,161,357,300,206,591,084,724,311,121,841,934,
720,182,867,166,773,858,954,701,537,000,307,100,953,608,260,949,305,983,795,
352,286,580,968,391,451,524,415,103,506,630,636,203,172,332,949,822,973,841,
166,045,501,190,316,546,276,111,639,492,354,333,877,494,124,413,926,907,579,
972,387,260,925,430,601,595,131,822,795,213,644,473,710,958,554,887,800,727,
821,648,463,190,458,351,919,304,623,330,463,001,134,198,634,047,658,390,181,
815,593,414,892,771,848,751,860,601,603,680,373,155,401,201,097,354,692,263,
614,076,680,779,564,384,802,375,693,289,206,678,823,077,024,032,865,607,749,
896,259,768,918,979,890,426,306,513,036,377,435,670,997,882,933,679,787,895,
819,810,707,771,297,150,973,965,155,308,764,483,778,005,732,323,193,675,409,
633,551,037,463,643,095,247,985,361,328,936,728,602,688,659,418,482,028,328,
814,007,486,963,677,542,789,438,665,203,766,601,361,472,223,033,177,801,952,
890,155,637,584,117,490,586,689,092,271,587,857,518,104,762,544,220,978,156,
142,558,186,930,823,000,725,939,463,542,363,626,353,468,099,437,554,276,366,
032,526,158,204,772,897,854,572,267,400,902,880,986,105,507,487,512,017,346,
645,141,876,388,591,685,100,320,462,999,714,560,568,283,578,360,821,713,804,
724,454,805,891,269,381,517,867,199,687,342,688,292,169,316,292,939,494,849,
643,222,169,682,622,573,495,726,769,834,913,098,744,760,458,512,474,888,408,
535,156,548,702,290,193,381,548,091,402,321,985,197,795,419,667,892,329,592,
128,245,994,034,066,304,706,211,711,534,123,037,510,043,902,832,101,129,378,
924,509,602,471,976,992,407,070,832,518,687,819,570,339,507,162,540,048,622,
844,808,746,273,049,873,633,178,544,573,200,985,694,589,739,905,411,868,062,
412,676,842,997,768,038,806,394,225,751,418,106,722,725,046,751,913,221,104,
098,052,215,971,814,188,178,623,970,377,594,086,424,250,956,957,914,618,820,
665,213,286,187,560,564,748,097,282,627,709,262,644,533,247,224,781,218,111,
073,103,896,556,268,729,171,820,420,011,541,046,276,533,819,337,698,908,226,
382,886,990,101,729,271,449,179,227,958,596,349,480,987,360,895,285,828,670,
691,285,797,976,337,188,017,130,412,438,617,954,086,076,902,650,935,760,428,
121,673,823,275,419,873,457,417,971,503,018,554,601,500,306,649,919,793,333,
750,588,046,518,439,275,178,580,573,085,103,038,971,674,747,921,978,604,969,
761,665,860,171,136,842,733,199,092,026,184,945,701,712,974,711,399,098,877,
131,429,275,539,173,487,978,430,231,341,526,364,332,255,296,666,228,907,789,
429,715,745,766,473,752,438,758,101,218,065,083,224,278,987,791,988,054,348,
101,756,748,681,827,419,508,008,226,819,726,747,955,002,652,070,921,368,869,
924,896,284,179,517,125,263,264,282,620,946,006,710,365,865,184,423,047,710,
649,865,516,421,819,273,684,167,710,198,807,560,151,670,062,677,743,514,186,
982,298,822,290,378,598,671,852,856,630,873,240,680,229,213,293,470,929,714,
441,624,304,292,720,764,425,392,884,840,082,322,978,568,023,694,536,869,921,
635,867,882,529,134,687,601,393,322,107,477,483,842,496,930,211,202,889,175,
076,790,820,244,754,440,349,647,222,201,233,194,048,231,860,053,304,428,850,
272,548,005,307,741,542,374,168,784,471,112,424,063,480,709,703,169,550,565,
163,646,461,160,326,052,805,672,794,538,823,374,518,286,471,838,462,611,999,
647,090,160,335,563,005,131,056,897,119,111,509,218,323,099,750,389,955,266,
381,863,255,261,570,678,359,958,356,948,329,133,150,693,879,677,805,564,303,
738,555,342,854,904,982,214,044,389,891,130,574,256,880,785,830,346,820,617,
926,958,368,508,286,772,894,562,749,665,335,880,400,709,799,044,592,850,642,
182,267,442,722,001,751,833,287,359,064,941,364,374,060,395,722,019,950,562,
461,299,158,685,767,711,165,668,778,547,947,585,220,190,065,155,457,136,835,
098,185,013,629,346,596,366,548,558,851,762,517,791,022,801,290,069,946,059,
556,314,072,144,261,264,458,469,027,197,315,472,677,221,566,345,074,484,386,
704,192,017,244,856,407,905,876,807,824,754,285,455,009,615,676,933,483,095,
582,603,918,567,988,733,054,524,851,510,506,382,619,663,210,418,163,056,793,
635,987,151,947,224,460,003,688,111,600,444,580,902,733,792,782,859,021,340,
396,602,138,887,885,383,551,870,506,158,437,299,239,362,983,950,872,360,789,
531,591,350,816,812,557,540,025,509,094,220,861,026,665,975,813,749,514,155,
842,763,694,276,993,208,414,268,769,454,440,895,096,328,864,184,137,533,492,
986,202,999,808,030,154,026,919,591,560,176,392,977,864,488,551,025,012,305,
732,577,915,312,700,266,160,998,123,564,448,571,569,764,577,361,334,273,204,
657,612,612,000,977,872,854,260,073,981,278,400,309,423,486,990,107,493,521,
143,724,943,004,717,419,070,015,465,600,647,682,192,870,372,828,849,131,987,
427,315,552,222,373,484,413,584,650,364,342,251,079,868,979,592,900,207,790,
504,835,175,647,759,927,367,756,224,360,704,495,597,150,439,555,859,225,882,
459,571,594,959,532,396,215,154,703,321,352,669,706,784,765,441,464,039,701,
252,948,666,037,008,609,832,146,886,141,070,135,512,789,000,581,588,605,543,
517,347,640,289,383,006,885,283,701,936,089,390,163,034,406,447,342,545,054,
781,674,054,882,573,040,164,847,066,050,673,323,812,244,642,724,402,627,890,
609,858,833,329,405,625,561,116,501,414,552,484,397,271,739,551,227,682,399,
766,107,508,588,050,538,806,553,862,842,700,661,033,670,873,649,225,895,795,
328,108,739,929,485,403,044,441,427,952,935,416,033,582,827,841,053,253,153,
780,081,926,156,759,170,471,675,264,437,740,438,869,948,244,126,481,720,868,
141,790,501,762,555,064,273,110,458,733,824,894,188,501,795,103,052,852,864,
126,523,523,237,435,347,771,629,085,954,523,161,791,212,735,972,241,953,388,
467,561,598,444,375,586,410,704,476,329,735,243,635,677,491,948,258,406,490,
485,519,102,972,532,500,982,060,112,985,344,518,683,680,465,482,625,494,527,
123,274,774,786,108,205,999,915,826,382,494,785,313,550,093,526,994,058,475,
048,845,562,451,142,261,046,095,655,413,901,873,010,289,525,556,537,589,616,
170,648,750,740,406,699,677,782,778,026,152,491,423,219,580,356,739,200,963,
633,935,042,845,980,337,707,523,027,895,384,694,335,774,988,862,252,070,370,
099,312,013,463,859,059,108,176,103,336,161,838,608,444,749,054,992,300,894,
967,380,319,762,514,888,371,981,181,283,609,361,125,412,147,475,404,037,745,
766,604,201,368,779,959,315,319,839,941,883,570,503,390,545,278,421,885,942,
935,854,138,407,520,963,264,403,038,537,959,946,059,373,669,152,839,052,150,
571,983,229,244,793,871,246,116,437,402,215,364,242,395,062,997,888,614,785,
336,074,298,217,397,324,432,977,971,877,437,666,406,463,376,811,138,507,264,
548,002,866,681,440,850,242,439,549,788,502,503,624,594,706,303,172,107,027,
952,736,434,648,256,561,255,138,009,216,560,973,098,299,144,739,602,692,532,
519,399,245,728,107,687,466,092,450,356,296,906,916,209,723,772,714,975,263,
014,390,562,466,067,081,710,664,085,231,935,558,830,005,451,569,839,036,411,
933,364,455,772,219,123,349,166,741,233,733,378,447,157,738,586,966,610,981,
835,831,832,986,216,658,225,905,485,739,338,560,481,411,448,313,485,358,783,
821,665,752,714,641,707,867,441,851,170,926,082,157,900,578,191,328,755,943,
960,033,048,496,148,105,676,319,191,043,999,626,679,334,975,119,440,418,531,
886,911,042,373,595,448,263,828,808,643,639,941,335,148,331,123,370,848,303,
919,411,385,684,352,913,665,156,960,924,937,241,043,882,555,481,295,834,001,
783,964,668,260,829,453,876,807,788,250,078,074,591,759,941,187,953,257,250,
867,740,014,721,091,061,256,302,096,781,825,985,864,503,418,845,668,376,416,
987,647,477,944,328,777,572,013,931,455,751,297,217,030,559,036,198,092,549,
325,801,569,769,975,515,740,094,584,569,499,462,703,290,387,696,038,740,161,
559,746,420,593,696,775,322,631,154,899,871,261,056,536,153,428,040,127,498,
874,630,975,900,111,250,236,598,048,643,345,465,679,240,401,167,939,236,102,
140,813,030,076,714,722,537,073,843,726,236,350,218,172,235,056,001,056,976,
259,619,628,583,301,833,125,143,972,858,958,521,501,182,206,502,667,860,517,
130,051,712,702,609,633,788,894,422,841,332,897,858,351,634,699,214,514,032,
906,578,487,041,336,907,192,547,669,248,085,875,305,326,000,710,409,675,141,
472,033,066,022,939,216,914,171,956,187,576,287,804,485,421,705,326,961,178,
773,274,939,222,998,851,916,226,217,354,605,419,990,468,691,151,265,214,496,
666,557,265,355,763,958,601,673,783,018,865,794,467,034,516,007,537,796,447,
623,312,411,405,117,891,345,621,734,206,380,331,149,462,895,777,410,395,873,
288,717,794,707,241,374,495,658,040,057,771,235,017,303,422,697,416,799,700,
145,095,302,381,387,847,108,320,303,028,820,068,502,021,279,631,010,482,619,
363,161,746,497,383,441,804,819,883,852,812,820,768,021,055,009,907,528,362,
595,315,650,303,526,949,378,719,215,408,961,356,910,095,608,976,532,015,654,
049,543,053,387,761,792,523,642,684,091,424,526,780,476,873,665,385,453,212,
761,819,681,100,747,463,199,422,183,761,749,072,143,170,787,548,795,218,769,
022,854,998,004,913,706,171,169,405,388,447,909,986,167,146,466,854,187,001,
911,720,938,936,622,355,914,688,694,633,639,984,372,543,267,834,734,145,797,
851,493,619,747,001,731,529,141,708,988,104,976,881,893,687,378,720,434,480,
959,774,592,860,106,819,719,650,215,309,700,451,001,696,555,494,799,140,108,
156,861,017,146,359,222,977,176,190,774,741,025,491,937,114,247,342,223,307,
400,144,067,821,117,241,438,579,068,352,656,045,804,747,897,305,724,338,718,
890,073,270,311,765,092,500,513,881,075,587,299,151,417,384,939,629,905,111,
135,434,300,206,590,598,616,921,083,515,603,217,692,869,700,840,758,343,265,
432,339,645,207,395,512,281,146,545,565,097,728,343,753,326,981,433,064,831,
238,516,693,264,599,389,722,880,766,614,455,763,978,503,911,977,330,421,748,
339,104,598,424,157,701,511,959,442,094,619,791,297,619,465,118,434,996,783,
565,371,021,308,794,481,371,259,669,603,237,135,996,008,654,799,781,938,461,
114,497,860,291,290,750,651,840,901,098,676,731,218,056,446,267,166,050,110,
174,070,108,281,454,848,330,136,015,094,912,673,439,422,065,778,096,705,335,
825,395,619,097,841,234,620,737,968,005,337,650,402,629,978,589,909,960,835,
952,761,669,978,718,983,279,750,151,642,346,642,781,451,993,672,124,973,284,
403,666,291,058,396,525,535,861,720,553,238,954,656,993,394,780,188,837,387,
163,841,226,773,878,270,092,245,512,219,858,349,366,104,854,091,993,232,800,
427,128,107,987,761,870,911,982,246,397,532,695,008,359,037,182,069,067,239,
298,297,473,037,337,042,473,540,612,804,402,689,024,173,786,252,816,771,228,
615,974,926,935,873,491,868,335,048,452,907,117,466,357,923,556,711,745,284,
021,297,706,063,649,482,669,928,062,560,969,488,939,052,983,751,392,901,460,
383,754,866,224,704,519,983,123,352,331,086,950,035,788,614,900,729,077,204,
545,268,616,499,341,342,795,883,336,214,074,353,787,235,982,420,406,683,324,
947,213,902,025,336,820,044,029,012,066,990,236,534,775,317,750,173,964,286,
548,818,832,603,829,927,386,788,438,537,543,602,325,566,525,945,437,515,340,
203,256,256,533,664,890,931,256,549,959,602,624,488,373,907,721,996,839,889,
447,893,917,631,082,893,189,564,214,755,430,189,254,263,678,892,235,222,982,
315,659,038,801,523,388,106,110,384,258,486,705,724,160,035,285,561,083,261,
150,158,009,027,740,925,888,578,968,121,672,909,697,904,501,782,110,751,372,
941,108,502,613,162,651,015,012,800,519,089,847,919,579,432,597,442,242,297,
296,201,090,795,783,566,014,766,978,509,099,686,744,110,091,650,552,071,108,
757,398,210,811,729,645,971,015,060,846,688,907,597,871,095,035,977,924,973,
251,677,630,573,362,157,288,871,458,375,914,240,500,233,318,102,978,069,711,
839,416,255,630,164,450,437,250,648,509,346,926,445,788,104,155,331,994,754,
041,815,094,236,512,201,999,598,611,477,010,681,412,710,120,990,301,991,543,
350,585,049,018,586,853,206,270,144,353,255,674,575,831,586,383,295,783,821,
526,830,704,124,308,486,532,017,828,409,389,273,553,405,461,398,074,415,579,
076,808,594,322,907,281,849,279,739,789,670,265,332,149,411,252,671,453,315,
346,780,527,504,314,091,967,764,766,820,230,931,696,400,929,562,930,287,252,
331,347,574,394,585,187,207,731,567,170,171,311,815,058,691,985,404,335,849,
379,150,996,198,597,250,968,807,176,133,809,283,554,294,873,714,721,443,632,
699,029,793,482,285,874,349,890,656,600,767,896,469,351,892,190,420,894,959,
171,955,571,921,789,848,144,848,394,791,132,566,867,326,271,440,796,873,180,
020,989,566,549,962,029,484,524,659,633,987,377,785,573,928,576,759,191,522,
962,031,398,742,555,579,645,912,039,712,980,291,226,095,892,132,166,391,601,
487,985,901,765,907,590,546,517,677,722,449,077,901,453,965,823,301,314,285,
980,124,688,740,438,700,713,454,978,827,316,974,073,920,574,120,669,586,462,
134,616,933,983,323,160,482,557,548,279,393,699,803,192,484,957,207,879,714,
687,408,359,690,181,427,545,530,449,531,633,209,181,394,781,493,765,780,225,
088,292,677,072,932,147,258,456,333,926,991,894,575,645,639,970,192,735,509,
862,876,293,342,034,025,106,232,032,981,470,149,799,277,288,404,715,473,752,
445,988,854,471,115,156,982,298,840,264,341,309,364,287,691,978,460,449,693,
722,797,393,591,104,444,356,100,164,076,983,530,128,531,144,232,421,237,154,
054,099,332,863,351,180,877,568,568,650,488,768,490,257,290,289,086,629,135,
271,493,460,758,453,794,115,972,097,950,854,524,725,045,017,243,252,249,996,
453,145,853,309,229,639,406,303,500,293,779,080,445,634,145,742,967,084,205,
854,164,788,448,775,937,601,523,918,718,143,623,307,965,718,779,963,438,282,
071,244,792,727,683,028,203,441,500,956,268,592,091,184,066,948,340,032,016,
477,031,080,446,420,445,378,201,531,537,422,874,886,259,063,356,400,999,638,
946,772,464,222,930,928,419,873,438,383,153,560,883,427,303,532,048,259,638,
600,062,588,183,978,829,522,150,384,692,443,932,109,928,689,056,104,708,302,
417,486,497,860,594,387,597,656,900,640,616,408,461,978,681,986,054,778,264,
675,926,416,630,942,151,891,522,052,961,349,554,261,449,085,477,095,060,160,
896,928,669,915,667,656,135,176,659,717,387,400,333,822,957,887,981,192,705,
949,493,084,899,068,284,167,736,760,906,283,688,140,418,386,675,407,999,598,
906,640,339,954,853,660,784,169,772,598,159,084,295,755,383,409,747,834,686,
297,165,935,952,522,339,382,335,613,234,154,984,964,745,774,722,187,867,221,
640,317,029,584,599,516,651,872,536,408,756,151,940,697,196,657,005,356,387,
879,538,818,090,933,496,109,913,305,310,551,276,676,839,610,512,461,662,526,
239,520,924,185,282,965,527,793,957,303,802,228,681,709,346,970,247,973,384,
950,242,641,839,722,894,246,605,389,738,008,586,820,714,226,307,641,932,397,
395,958,157,979,425,342,977,547,097,503,867,458,248,911,222,001,239,892,975,
498,724,113,429,547,395,971,888,740,722,194,678,122,346,533,580,994,445,965,
165,543,242,202,503,129,473,367,437,946,367,293,487,139,995,982,373,682,264,
862,307,553,179,278,164,699,776,912,668,624,075,606,155,925,902,977,924,880,
830,504,815,475,949,297,217,678,387,773,627,160,025,485,087,035,332,368,220,
211,351,596,997,826,049,017,109,928,771,235,346,174,535,971,179,311,812,588,
071,889,475,353,751,306,973,827,980,599,721,733,192,522,702,252,416,302,786,
227,455,646,912,406,114,805,529,412,967,684,668,629,118,167,787,468,915,484,
189,016,293,025,929,632,484,274,587,362,521,812,553,240,222,191,759,622,206,
730,772,803,908,367,108,111,775,579,252,421,625,323,687,988,502,761,770,887,
294,931,427,519,324,635,357,809,793,833,764,804,863,678,185,888,972,386,179,
675,933,438,095,083,323,906,799,797,872,977,645,873,803,100,380,744,173,569,
464,878,257,891,635,363,796,400,693,175,100,308,024,755,935,301,243,333,976,
745,964,449,773,095,456,638,271,835,574,282,134,023,946,195,258,929,606,258,
566,380,447,221,356,010,248,641,088,074,640,036,281,530,829,064,302,323,522,
120,156,377,788,102,989,803,862,279,263,696,467,667,895,996,878,421,946,401,
573,928,827,949,380,896,937,108,959,324,829,951,998,664,376,861,592,061,546,
903,709,097,488,076,323,222,045,263,796,555,807,598,149,656,002,275,007,908,
700,859,474,198,825,187,252,684,279,481,025,384,009,400,203,228,600,399,170,
441,390,154,479,663,882,697,367,806,204,268,882,217,893,997,581,988,821,759,
006,812,906,849,038,037,903,540,663,527,786,850,806,041,173,368,849,198,557,
495,929,178,780,731,703,371,198,392,610,268,845,758,853,328,507,944,895,387,
326,369,937,260,799,122,015,061,997,744,943,452,925,547,196,367,378,933,671,
765,709,123,350,715,114,564,622,779,607,546,129,957,627,854,856,110,120,831,
852,295,170,779,366,412,111,916,655,564,974,956,690,171,273,093,587,355,394,
757,611,914,542,436,119,382,261,953,988,735,533,716,299,713,676,996,680,389,
939,298,095,658,748,634,662,370,152,373,062,283,844,307,023,546,069,968,096,
222,028,412,071,547,144,515,252,970,850,233,465,357,827,652,604,108,354,784,
661,041,310,744,038,510,904,281,010,804,459,268,977,692,377,719,926,760,398,
111,653,553,276,257,985,102,571,712,095,266,040,117,926,340,050,817,735,359,
593,195,232,352,814,459,003,122,029,697,630,211,814,877,964,651,441,647,841,
825,349,513,292,884,006,497,019,264,771,988,541,439,613,475,459,268,271,904,
907,383,777,279,960,133,246,838,863,895,710,505,892,767,457,373,282,414,988,
443,028,536,162,431,726,624,213,295,315,031,938,452,172,067,698,087,338,824,
268,694,375,438,415,294,883,101,721,871,615,748,232,351,940,588,949,301,870,
814,563,592,018,075,533,977,406,985,602,908,898,545,400,130,821,791,823,219,
377,111,546,150,842,139,861,408,695,927,798,774,430,960,950,701,909,303,015,
327,282,599,933,139,602,791,768,588,546,211,071,395,710,918,152,060,892,228,
396,829,371,228,270,594,608,426,918,442,273,393,338,019,214,773,636,851,351,
461,748,066,054,971,048,121,195,549,374,334,543,357,105,755,552,674,955,904,
954,096,056,045,774,760,305,736,815,753,725,102,210,725,415,110,163,145,732,
859,954,350,319,145,108,390,926,700,660,209,128,104,472,352,719,214,254,534,
586,231,821,250,900,201,197,654,449,461,442,461,991,107,404,152,500,112,901,
883,241,588,819,123,736,022,770,425,288,846,010,668,178,702,397,439,954,890,
242,903,960,739,057,645,873,913,638,439,034,693,531,249,288,365,658,273,783,
818,418,270,136,932,571,520,846,046,323,055,748,925,527,622,327,792,464,556,
636,775,936,034,733,976,495,289,914,040,039,511,372,468,460,688,629,321,583,
408,981,696,972,454,107,059,166,049,726,475,376,643,674,791,443,111,336,481,
660,209,165,510,735,500,820,752,280,262,104,935,776,374,171,231,383,476,507,
207,595,640,258,225,024,279,931,981,768,641,017,045,140,335,631,705,307,401,
393,606,038,343,915,222,577,517,158,326,028,321,270,417,241,642,498,838,621,
712,128,276,641,109,223,481,649,662,112,626,314,160,159,910,194,545,366,323,
539,209,940,395,748,057,755,044,922,683,057,660,862,803,176,436,742,826,984,
829,908,717,712,846,345,380,881,547,485,409,376,191,202,765,895,739,919,008,
225,121,932,097,780,706,179,813,567,059,102,405,635,936,962,409,938,583,746,
340,855,148,086,726,594,135,604,546,232,785,643,176,331,397,123,119,425,525,
240,062,179,046,780,033,226,963,729,084,899,460,718,844,347,311,797,587,076,
259,599,482,588,598,705,563,639,680,116,924,394,712,776,841,219,291,750,466,
916,966,034,083,033,259,536,817,231,193,750,029,416,562,715,495,332,031,561,
369,679,687,574,846,659,254,096,849,001,619,579,931,198,804,298,734,670,999,
282,213,428,856,866,018,605,029,259,777,437,491,585,194,752,691,480,552,286,
980,367,371,707,573,335,174,608,040,907,830,979,372,284,140,883,030,624,335,
671,883,618,915,499,023,982,041,729,989,718,032,925,618,268,738,271,819,563,
415,943,564,672,293,003,810,144,561,267,238,646,001,648,671,379,140,148,903,
182,825,098,886,345,964,956,558,703,896,103,394,387,187,754,375,270,026,238,
976,042,816,308,617,222,373,901,967,134,741,081,808,091,876,243,965,485,571,
218,669,512,843,133,625,958,959,825,886,583,175,447,703,443,548,532,722,630,
398,076,296,510,004,577,198,401,679,245,934,084,518,458,600,364,121,259,027,
064,262,029,684,191,888,469,219,093,957,135,370,171,666,933,209,168,961,700,
531,828,438,650,926,323,160,108,996,265,707,150,306,422,963,336,611,829,401,
504,593,584,253,472,934,365,334,718,733,448,650,656,610,662,793,730,209,126,
371,181,027,092,179,592,173,220,608,309,771,755,239,693,584,544,646,228,628,
623,584,540,483,697,703,529,644,282,759,548,648,859,416,643,452,724,329,881,
374,707,283,842,915,669,813,106,468,292,307,807,526,608,538,885,468,166,487,
652,720,245,515,283,798,791,788,962,918,938,374,801,707,711,942,300,436,107,
665,455,634,884,979,108,613,135,340,834,845,158,585,899,224,982,856,007,368,
315,561,124,785,088,941,963,063,020,392,001,212,458,501,018,916,142,756,477,
096,014,838,746,184,630,969,732,830,784,774,981,709,083,674,696,728,616,477,
356,254,783,583,838,811,839,261,786,586,245,133,194,101,673,743,260,574,706,
967,403,369,613,093,088,994,932,581,094,848,282,195,312,980,970,109,963,662,
262,976,951,769,773,338,104,840,225,524,530,527,553,066,749,194,087,548,418,
994,082,175,397,598,788,820,277,059,744,445,347,644,748,444,934,601,851,225,
176,986,958,425,467,803,457,670,021,343,474,521,545,335,149,706,783,003,299,
097,123,765,403,485,843,111,153,370,170,151,890,486,699,174,005,442,826,733,
006,015,876,886,893,600,597,250,051,363,958,310,877,877,899,235,698,629,418,
406,727,147,999,718,622,453,251,304,333,497,658,972,265,560,944,702,401,125,
332,179,811,366,871,456,293,533,349,446,527,739,692,990,966,182,964,737,702,
511,144,371,066,831,669,056,539,224,978,670,139,213,595,843,774,967,963,083,
053,193,003,465,948,517,488,653,021,450,488,724,823,906,593,625,885,950,695,
177,453,544,732,312,317,072,119,963,596,272,107,410,007,856,847,437,465,383,
349,118,911,162,279,368,187,561,890,031,469,908,535,532,204,232,765,181,460,
915,264,491,045,854,993,077,927,669,613,716,051,522,677,391,483,362,902,871,
617,122,834,847,272,150,466,911,846,591,567,517,920,153,046,055,707,469,818,
079,866,648,471,336,047,200,655,077,727,943,062,302,343,122,848,292,205,756,
174,703,367,159,518,685,839,669,714,576,283,780,528,951,051,605,242,225,298,
139,370,178,112,632,232,650,906,438,219,581,822,053,631,016,388,340,774,521,
368,026,330,737,232,023,743,214,652,575,519,263,358,801,573,604,756,118,017,
970,610,599,194,267,740,613,016,112,221,513,698,111,245,791,131,388,866,776,
848,804,348,570,591,462,602,183,425,507,666,563,061,782,609,383,604,320,480,
519,737,664,702,848,915,494,688,227,962,223,822,991,383,441,255,863,686,516,
132,225,832,327,849,433,688,377,418,259,614,666,022,383,522,107,652,069,247,
740,372,594,511,502,911,670,302,543,762,788,787,540,619,923,337,622,714,269,
971,271,481,143,040,792,509,787,715,539,264,877,186,628,193,156,344,695,607,
899,677,957,693,095,731,291,751,994,765,439,427,066,528,252,848,447,719,943,
836,559,937,431,492,651,422,750,582,889,227,399,766,045,884,789,274,972,495,
145,061,909,435,561,180,534,381,521,886,195,520,051,238,606,943,681,590,237,
932,476,436,272,541,076,774,898,551,557,198,704,282,992,503,186,930,131,118,
204,988,574,562,764,096,942,164,991,133,551,064,806,662,090,877,867,952,775,
565,148,007,230,680,010,554,361,581,501,868,400,016,142,626,191,996,063,956,
543,287,420,611,901,864,249,105,735,307,817,866,560,688,434,826,078,529,875,
006,170,687,175,351,706,966,650,510,370,557,832,314,428,721,206,096,016,361,
321,844,638,452,261,150,085,783,326,807,774,736,333,357,763,237,340,413,769,
230,532,627,162,504,422,793,352,362,500,843,621,516,848,558,182,104,959,424,
496,541,519,397,743,995,980,824,974,431,762,471,543,496,704,348,166,305,927,
087,223,944,432,227,819,838,899,937,930,597,215,576,846,977,417,055,671,473,
654,609,541,546,564,654,567,827,180,447,945,945,060,267,795,798,013,778,584,
095,352,630,207,347,608,428,633,917,153,806,767,581,928,212,925,545,874,052,
402,104,693,178,527,155,810,564,594,845,078,609,030,820,336,185,210,425,561,
202,863,282,154,445,637,047,771,400,174,108,501,230,625,894,997,149,975,277,
327,728,090,049,170,580,949,354,849,964,998,065,761,586,047,179,041,332,916,
044,916,909,126,384,306,186,245,229,695,422,032,996,048,744,890,933,681,495,
630,320,082,393,916,556,667,817,930,068,343,082,538,572,927,099,238,093,679,
053,515,820,507,105,993,694,972,878,186,757,331,982,364,072,639,766,828,809,
104,636,919,862,011,536,749,811,524,461,684,149,852,884,829,816,034,158,123,
795,669,015,827,073,027,701,768,503,367,060,407,461,017,870,686,492,376,724,
590,992,119,350,720,350,217,871,696,807,497,034,440,920,633,503,917,173,325,
112,007,404,181,632,310,208,166,910,349,336,624,861,493,526,623,846,272,646,
966,333,868,749,228,203,211,379,128,340,813,138,210,090,463,192,267,158,466,
568,241,113,298,313,123,630,761,323,151,736,966,584,514,835,070,507,555,898,
005,567,707,977,073,014,217,122,615,865,310,439,372,837,285,632,857,521,606,
103,693,420,113,792,331,194,086,303,884,072,635,994,249,004,576,564,917,437,
990,589,450,192,831,440,903,033,060,818,318,600,785,438,717,207,477,575,498,
245,927,028,530,392,542,412,864,122,908,847,447,194,669,137,620,160,937,448,
358,489,017,305,635,455,458,512,425,803,652,257,810,973,839,928,265,111,617,
346,909,181,039,102,876,233,385,979,488,956,120,297,506,123,151,054,181,604,
118,352,620,012,855,734,790,213,106,456,746,094,644,827,886,376,507,310,990,
090,428,119,684,039,696,252,171,950,850,351,607,403,593,954,301,712,101,278,
444,239,474,861,020,910,535,479,457,848,832,604,922,187,388,453,403,266,920,
210,358,513,079,803,201,887,005,220,094,206,313,481,843,515,538,705,993,155,
338,408,942,003,785,689,531,803,748,256,581,443,219,840,331,286,518,735,488,
527,700,616,459,060,003,773,558,106,328,961,435,069,969,243,093,637,553,317,
090,118,418,675,144,541,591,759,718,952,926,975,829,586,161,993,489,864,578,
646,259,418,121,061,299,107,081,492,104,290,364,504,788,060,446,935,033,217,
035,597,222,655,552,522,398,016,950,914,287,633,224,804,774,932,446,624,037,
316,141,472,787,957,067,083,557,842,016,201,152,720,213,015,152,047,587,446,
370,393,285,223,131,719,036,047,223,523,586,278,126,013,359,653,001,890,540,
236,997,821,849,698,850,438,700,841,078,810,043,629,721,865,313,660,502,877,
757,633,348,424,005,690,944,508,969,258,042,434,255,512,292,407,917,054,737,
989,662,493,228,064,925,669,208,816,578,477,265,267,565,505,240,723,577,400,
592,668,222,600,525,482,612,166,319,868,926,980,889,377,135,861,412,342,598,
324,793,830,088,100,213,359,836,295,820,200,294,610,852,802,408,616,431,137,
717,828,679,933,349,809,287,656,357,038,211,950,935,663,154,060,681,508,062,
623,069,611,798,855,014,386,931,423,469,260,091,563,947,909,745,119,836,301,
422,596,541,086,820,028,408,605,551,293,680,281,202,805,435,077,443,923,679,
004,065,638,730,208,196,351,098,313,297,249,406,697,697,929,845,076,009,440,
517,775,491,109,564,655,854,121,142,745,169,702,567,904,410,361,981,110,112,
966,418,724,966,395,615,837,399,579,462,494,361,100,478,447,356,107,664,418,
229,996,579,403,057,360,332,544,798,931,993,121,160,622,144,267,786,044,868,
188,378,679,894,507,281,798,051,138,452,175,911,640,445,004,233,172,672,707,
164,233,519,880,610,220,043,796,717,311,039,226,388,888,727,703,794,373,651,
671,243,832,004,691,495,246,378,248,876,862,181,540,839,210,246,226,178,305,
558,301,801,594,347,184,499,868,724,871,759,924,131,761,310,462,215,129,261,
426,180,959,447,744,037,710,367,625,169,749,810,311,699,534,385,229,253,752,
829,396,743,310,413,092,426,905,471,222,559,126,787,648,176,238,222,050,569,
169,024,891,127,979,671,002,733,581,437,567,621,675,932,615,184,370,395,828,
967,652,114,426,834,735,071,232,695,186,514,487,182,849,113,472,865,558,814,
672,929,653,590,284,121,072,388,234,324,319,857,967,535,961,073,433,575,597,
033,357,617,286,130,480,914,339,851,855,402,644,953,188,425,816,788,693,301,
367,790,726,215,606,179,057,335,235,930,586,615,277,505,140,972,983,528,151,
793,545,958,065,108,931,983,260,983,392,369,005,446,889,526,977,577,343,211,
612,450,574,334,286,463,480,511,573,549,703,089,918,233,772,816,479,756,287,
377,515,163,348,314,949,903,900,503,568,139,159,960,155,323,432,368,785,347,
370,380,555,555,881,944,968,806,905,854,840,323,073,475,423,392,124,470,908,
609,082,060,013,997,499,779,620,846,186,373,018,993,434,774,668,046,910,183,
953,854,655,720,000,957,848,880,365,114,929,979,186,160,438,762,680,736,049,
082,111,377,137,989,926,130,818,299,447,048,465,325,532,980,952,366,182,285,
167,145,255,365,213,492,400,353,116,849,062,605,313,076,672,118,263,785,124,
526,776,141,525,485,018,863,327,073,092,028,422,078,292,066,018,451,211,092,
110,122,415,244,684,779,814,404,915,763,060,911,211,122,664,056,033,119,048,
694,589,681,409,143,841,896,038,735,267,158,591,225,757,881,536,751,745,691,
765,864,377,117,897,204,962,219,753,369,570,315,748,400,117,030,966,589,444,
086,064,752,008,664,144,409,870,190,697,403,226,668,106,214,048,498,562,590,
216,888,216,492,945,468,255,737,465,859,743,420,102,151,265,636,666,984,555,
594,594,363,548,325,505,173,633,336,048,720,533,058,080,269,714,644,572,137,
602,607,347,068,246,147,888,549,869,250,799,034,993,616,113,006,011,738,190,
724,731,532,513,961,766,951,256,048,580,365,495,935,808,284,526,054,153,921,
129,402,013,744,057,196,512,081,725,340,713,969,913,868,880,407,831,481,791,
813,219,266,928,515,796,578,884,140,875,960,072,619,830,382,760,177,436,154,
441,502,715,888,920,806,048,935,351,157,769,312,369,983,667,808,928,577,741,
222,369,993,704,977,462,198,735,196,541,633,424,729,119,135,773,631,248,730,
965,986,717,188,577,653,773,151,153,625,078,446,379,972,188,168,500,367,282,
531,703,561,877,455,728,792,070,739,942,251,330,126,326,747,388,219,816,614,
933,368,875,262,913,951,994,750,115,724,121,564,157,311,559,417,287,048,507,
064,173,295,285,667,448,820,696,337,031,697,403,562,747,406,993,194,561,970,
737,175,702,203,462,617,794,606,191,349,576,736,559,126,212,601,554,357,069,
767,323,104,763,577,677,486,997,369,675,983,809,454,638,862,779,662,763,220,
013,513,242,697,452,120,821,682,781,886,712,163,099,498,789,678,870,057,582,
170,952,664,463,584,209,876,624,833,567,775,264,287,024,050,345,611,213,924,
999,691,704,890,713,930,747,908,107,869,084,899,655,236,094,930,415,801,088,
628,890,317,017,747,054,392,369,204,432,257,497,973,366,335,630,221,247,497,
380,294,651,667,598,190,286,118,977,258,880,502,040,606,769,244,652,103,592,
716,333,966,197,948,766,073,269,485,340,099,488,657,902,477,422,112,607,592,
080,647,317,383,582,575,083,424,362,847,471,975,832,087,825,039,189,389,597,
305,952,804,599,364,794,569,275,256,476,272,087,064,574,132,927,794,358,377,
139,860,965,171,884,464,661,595,773,567,452,922,318,566,694,908,106,677,270,
567,812,158,595,872,981,141,330,130,241,486,544,959,304,187,785,421,007,430,
564,350,184,869,848,336,762,948,994,686,352,860,437,550,105,670,434,145,554,
426,826,287,840,731,146,380,155,114,735,422,353,474,183,845,965,852,217,972,
536,407,218,028,038,888,724,850,518,477,662,975,378,251,401,733,093,012,900,
683,893,897,222,663,992,042,849,914,690,880,236,869,703,466,733,182,701,049,
640,275,064,119,946,161,689,326,369,164,820,951,357,826,794,023,208,928,402,
394,735,309,955,807,081,198,211,590,515,866,999,526,488,563,982,612,999,385,
374,719,012,394,435,059,525,678,592,576,608,179,003,955,062,121,243,675,172,
115,041,290,217,112,246,426,689,353,192,248,883,931,351,468,403,501,122,930,
082,492,397,433,480,250,814,685,626,863,867,553,580,797,942,322,635,824,760,
824,283,429,342,325,199,827,549,473,771,529,725,698,092,654,201,408,279,916,
499,066,290,511,513,399,576,783,679,560,875,551,666,477,064,846,872,392,260,
151,505,885,225,741,380,184,344,564,668,963,025,636,185,169,632,950,451,154,
382,851,558,984,820,370,220,992,453,300,020,732,889,966,454,604,708,072,145,
927,938,312,898,873,125,980,600,623,657,434,067,618,420,784,087,469,543,236,
448,616,051,927,255,547,098,654,043,121,868,076,811,928,137,978,113,578,259,
955,213,813,242,286,410,143,081,766,989,844,489,736,895,882,892,264,650,309,
258,506,186,512,007,184,935,754,263,528,164,230,313,916,391,003,761,430,514,
378,540,160,417,873,049,079,110,394,369,967,271,679,090,784,085,697,340,318,
891,111,891,897,580,143,312,524,276,987,111,790,251,968,020,428,140,307,532,
195,340,781,936,649,488,162,251,863,500,343,855,796,852,968,225,408,124,878,
153,994,403,782,431,449,896,917,069,331,946,278,105,613,633,453,138,980,164,
370,401,527,125,563,859,777,577,073,276,067,454,359,642,479,039,968,091,632,
747,434,801,576,863,846,759,520,980,218,160,595,277,019,254,119,233,092,895,
684,238,614,868,484,746,321,169,070,288,670,443,426,964,195,425,941,552,296,
509,535,857,182,615,853,996,939,554,507,799,312,636,707,563,469,226,247,230,
964,832,199,850,429,692,622,098,069,359,778,730,933,765,765,604,714,783,257,
472,151,517,853,652,891,676,933,945,869,470,538,069,722,599,284,891,537,222,
474,901,519,726,664,720,192,947,578,824,808,679,937,911,783,487,481,873,850,
529,032,953,412,357,480,593,201,450,168,558,627,412,247,603,198,539,970,994,
215,117,463,404,807,928,957,575,343,359,463,602,758,033,394,498,670,047,949,
788,594,651,198,056,232,598,099,557,369,278,798,188,562,237,404,310,103,948,
528,624,411,300,206,728,395,281,353,708,247,397,303,859,948,184,907,995,785,
656,535,385,079,156,120,672,222,481,882,946,621,872,780,761,941,830,027,994,
614,324,538,369,029,505,797,600,245,179,771,255,603,340,926,386,411,907,269,
740,298,146,254,447,425,900,026,055,467,170,872,941,890,588,655,294,626,088,
465,060,653,493,587,702,136,939,687,380,266,142,906,613,421,750,118,661,670,
994,614,115,302,830,268,457,157,101,126,279,123,718,042,610,329,663,348,791,
496,593,717,974,859,622,948,792,758,404,640,843,212,715,145,520,631,694,451,
861,835,057,618,819,989,422,491,228,234,822,892,148,193,321,639,128,977,822,
518,739,325,822,266,474,727,157,156,376,436,284,039,016,055,489,569,284,519,
824,615,013,165,778,032,708,923,371,243,354,885,743,038,702,984,572,699,262,
177,705,127,584,566,330,715,210,215,319,105,942,423,842,975,528,133,018,414,
909,361,843,290,072,209,969,963,297,882,861,159,263,392,146,795,116,002,732,
460,702,669,716,435,485,778,896,064,947,829,974,074,203,812,728,226,074,129,
306,490,378,715,687,680,652,321,326,414,514,318,394,565,601,747,145,360,793,
522,298,573,238,672,068,807,973,017,959,900,828,748,207,159,778,615,295,415,
371,802,733,364,182,672,875,622,813,053,048,525,770,659,272,204,952,346,934,
074,111,326,021,532,227,491,581,210,279,521,851,817,844,161,443,189,348,647,
062,822,209,435,160,031,988,207,068,629,173,044,462,165,392,682,557,193,804,
355,635,900,926,758,527,321,663,819,089,999,519,920,733,331,101,550,577,518,
953,480,753,975,239,306,207,409,966,404,417,879,502,647,621,345,112,017,712,
578,332,766,756,512,595,529,849,764,012,637,914,859,639,332,572,918,969,499,
197,930,786,648,633,178,283,443,453,366,677,698,854,535,126,612,338,670,394,
751,942,587,477,253,435,414,601,628,541,133,062,866,922,978,141,366,053,834,
717,453,703,714,208,193,800,923,027,774,039,261,289,308,560,403,892,079,838,
902,837,358,060,568,549,504,571,337,414,006,567,032,711,542,438,650,426,044,
725,347,522,022,915,382,969,950,542,582,881,731,256,172,829,444,881,081,138,
603,148,608,116,253,233,377,546,562,164,165,254,693,455,923,478,162,947,041,
302,825,548,892,469,956,581,150,543,074,090,395,966,143,588,396,980,233,919,
361,237,079,694,325,983,625,444,879,543,050,429,746,987,333,983,995,137,518,
836,537,500,985,388,326,316,514,121,070,533,585,341,209,158,134,638,066,177,
655,399,979,991,235,530,724,775,751,753,294,033,530,984,646,966,739,300,452,
597,587,292,432,181,413,028,101,810,402,991,684,253,777,256,584,087,011,860,
400,868,928,025,384,775,355,343,922,695,497,539,049,377,904,651,886,735,098,
303,534,990,135,103,191,094,918,993,680,398,294,589,598,106,912,488,707,547,
716,762,876,311,615,810,475,407,969,416,894,812,760,375,902,139,014,008,697,
224,076,399,958,256,559,644,076,551,873,369,748,329,838,953,624,628,632,969,
326,504,215,469,270,846,520,539,883,208,851,163,964,006,463,179,354,702,646,
103,286,274,046,361,531,425,533,259,653,101,661,909,292,101,718,099,695,803,
413,839,416,784,811,284,921,016,807,089,984,683,421,161,253,078,401,543,831,
009,956,917,408,875,219,741,843,821,643,262,568,328,572,027,232,735,129,529,
995,022,542,244,189,452,592,275,662,183,190,860,084,146,702,077,814,286,694,
249,780,690,268,921,656,746,169,761,007,415,769,386,788,508,674,028,372,385,
482,329,915,001,801,455,182,522,800,795,924,833,521,902,013,162,233,215,997,
041,665,572,482,019,781,075,083,190,089,132,879,985,091,588,461,124,020,434,
599,140,729,530,263,779,502,197,170,026,064,978,184,501,709,138,838,838,334,
808,903,660,962,378,397,104,443,411,276,627,263,551,103,316,506,329,404,439,
876,266,401,742,221,006,287,124,545,389,475,236,775,465,402,931,027,935,027,
324,305,663,113,565,180,780,927,077,230,308,638,002,486,486,763,151,439,360,
440,251,163,957,694,028,506,105,485,719,406,394,331,670,182,433,605,571,227,
956,062,815,544,419,561,224,323,283,221,865,831,123,129,487,019,883,012,407,
955,825,288,954,823,733,771,424,854,847,382,187,036,279,757,057,928,526,202,
768,965,334,852,972,496,163,587,400,847,994,615,743,413,205,268,018,910,203,
847,168,747,077,247,124,680,869,139,093,791,804,720,081,029,063,435,049,340,
331,769,678,981,444,358,664,727,555,781,601,632,314,529,034,544,907,591,300,
647,514,650,561,379,654,174,408,051,545,475,909,064,565,953,193,906,820,861,
671,364,267,701,068,319,442,360,456,859,584,227,384,448,348,351,954,075,401,
095,967,320,199,089,385,864,363,148,513,519,310,162,000,464,494,120,958,727,
183,868,154,265,098,856,326,379,339,030,658,492,419,121,868,350,161,340,845,
573,942,173,014,674,406,146,573,052,468,831,616,151,881,787,452,072,369,877,
708,129,789,785,902,402,425,358,465,642,065,850,117,760,865,557,288,914,815,
732,903,838,307,005,734,346,355,248,275,159,637,145,696,546,824,817,470,929,
709,868,908,860,403,965,285,603,259,883,793,802,760,949,780,614,629,550,121,
216,574,344,785,324,262,760,260,764,185,101,983,805,416,567,286,636,090,702,
585,217,463,950,890,860,754,143,208,532,128,767,000,344,093,398,643,484,499,
963,275,490,205,911,186,108,547,552,867,091,275,215,668,806,945,716,343,530,
009,122,321,020,850,726,238,211,375,555,507,696,942,749,646,809,921,162,937,
766,205,530,537,541,666,941,240,664,644,934,181,584,153,897,971,806,642,867,
001,703,622,706,119,590,545,906,305,464,596,418,029,113,199,675,923,968,460,
356,056,146,744,651,991,810,108,603,375,801,839,250,017,751,437,135,079,518,
530,452,026,044,341,600,665,634,196,352,438,282,301,022,519,659,824,583,766,
419,024,147,550,264,798,750,207,465,716,815,111,410,293,310,038,689,308,499,
772,329,618,622,578,593,218,411,082,277,104,903,616,025,810,699,999,090,102,
613,604,911,465,634,334,145,947,040,949,438,143,784,988,678,724,303,959,500,
706,471,951,510,152,538,949,677,867,677,244,900,206,853,912,954,568,196,324,
542,143,985,535,425,767,895,764,027,465,957,174,413,583,622,930,559,714,377,
523,002,548,338,639,772,871,865,253,868,954,179,136,026,703,883,783,082,756,
122,598,622,580,952,337,890,977,158,623,604,637,312,608,448,453,054,725,817,
487,635,590,761,999,853,240,411,089,044,443,063,464,709,172,649,641,579,683,
351,990,791,222,719,973,290,773,823,795,170,635,271,960,272,918,118,439,554,
653,666,708,085,442,839,921,588,864,648,355,312,860,132,082,360,713,078,210,
007,261,619,744,761,527,018,607,810,623,142,493,331,533,201,728,170,540,498,
348,275,471,035,654,935,011,096,619,756,762,265,042,371,810,262,160,334,007,
406,452,986,027,624,940,494,876,388,740,345,670,508,946,150,911,735,149,409,
862,986,961,374,955,978,271,573,522,901,897,330,323,214,863,461,043,480,460,
776,876,849,593,089,224,986,690,203,237,743,067,896,657,284,176,644,357,362,
039,407,055,905,627,042,644,842,364,412,958,531,244,561,940,222,282,239,921,
886,428,403,889,822,474,264,046,041,614,697,925,403,800,184,931,095,884,504,
966,661,885,998,493,391,911,736,708,216,048,279,451,770,298,887,695,288,310,
209,228,315,211,629,233,725,162,668,871,048,961,908,832,622,899,913,009,824,
123,966,377,091,689,076,265,179,634,308,760,529,397,790,429,189,471,442,458,
081,191,914,768,520,035,317,409,434,605,782,384,908,324,958,462,586,264,732,
557,424,895,399,089,598,858,711,072,813,275,350,115,457,923,273,251,759,876,
229,372,535,329,296,312,037,222,242,730,476,103,333,477,252,165,678,781,998,
254,830,593,543,562,774,190,747,084,061,684,804,227,939,948,334,806,108,557,
152,202,673,929,831,320,658,895,222,779,802,963,633,739,427,330,249,782,997,
734,645,411,606,675,952,871,813,554,395,748,142,997,400,989,148,021,265,902,
520,314,987,626,928,181,782,791,062,700,481,711,650,122,589,616,733,001,637,
240,384,464,124,673,572,156,420,402,785,264,596,807,685,304,533,072,448,573,
178,679,056,482,834,653,885,903,039,916,012,569,065,583,367,115,916,145,660,
005,658,281,738,712,994,952,404,439,645,049,629,975,951,747,647,920,049,603,
937,184,739,996,300,481,968,050,913,285,284,643,550,961,630,411,247,701,266,
410,974,822,831,906,653,366,101,412,135,758,434,861,198,825,847,931,682,022,
333,496,192,842,184,917,078,642,313,775,615,599,309,111,762,219,798,729,781,
945,658,260,696,675,117,558,466,200,064,904,702,668,788,880,562,787,113,391,
918,318,882,017,296,093,505,259,003,780,495,460,042,186,656,668,006,825,878,
036,998,557,618,006,797,031,317,847,954,582,919,869,267,279,789,318,481,175,
595,524,920,405,265,552,104,364,923,678,387,667,102,646,033,519,498,560,981,
286,314,189,153,906,135,950,008,692,325,447,027,070,222,541,619,126,719,930,
235,082,958,840,470,155,887,884,473,805,326,563,994,868,219,301,018,782,686,
084,907,553,698,879,591,724,739,350,639,411,061,941,996,270,514,354,733,481,
171,438,882,261,758,677,733,908,443,807,249,022,093,407,927,299,165,174,761,
248,551,815,036,825,378,440,996,799,116,082,551,576,929,111,943,450,881,701,
713,725,312,976,976,963,346,902,567,821,818,985,359,666,713,242,260,432,489,
703,109,378,173,043,692,253,991,981,046,522,753,926,546,262,252,959,255,327,
068,254,419,016,579,730,223,784,542,916,033,017,761,981,931,517,956,451,670,
109,394,768,546,879,566,200,174,053,315,957,092,990,120,118,695,215,182,535,
288,514,113,809,467,541,335,604,275,616,425,879,911,946,847,488,902,346,857,
397,395,436,370,094,368,163,222,541,820,300,609,645,064,892,607,786,692,410,
864,474,245,907,097,892,803,461,708,758,165,942,602,957,704,740,751,611,191,
841,490,676,749,925,931,870,998,497,448,587,456,773,747,834,369,649,105,499,
476,348,084,454,845,473,722,086,428,198,411,511,440,863,053,040,781,043,116,
642,931,888,388,576,830,959,439,380,636,439,215,997,961,655,297,574,857,406,
465,629,383,232,965,433,602,211,344,281,113,280,573,460,745,131,832,991,835,
869,344,785,664,559,092,006,445,487,885,021,959,511,965,208,933,906,116,739,
240,073,526,973,800,046,613,127,210,670,895,789,923,600,848,648,216,525,699,
207,627,306,440,945,530,795,580,136,127,605,183,173,517,204,381,561,402,080,
271,613,392,171,298,657,468,398,885,120,349,966,415,489,375,168,159,984,506,
487,519,832,213,117,758,107,076,931,623,591,526,252,509,005,042,410,675,582,
026,806,526,992,574,092,468,834,990,468,308,021,028,571,612,501,821,362,483,
300,162,811,989,878,103,836,358,548,454,614,574,047,151,037,041,955,194,461,
403,768,539,259,912,428,778,930,340,956,703,731,564,501,298,979,969,945,648,
659,581,555,300,455,053,314,945,536,373,158,812,217,292,036,388,234,113,229,
530,015,051,308,680,771,520,088,317,204,899,076,389,156,188,085,799,179,552,
844,674,829,621,658,118,259,915,368,951,664,226,820,572,907,747,443,651,022,
592,775,157,511,303,214,521,113,960,794,254,058,270,689,468,502,197,171,728,
776,455,402,244,358,805,405,423,320,201,012,836,942,685,752,718,082,658,158,
900,758,471,524,289,489,680,766,478,292,498,582,576,334,830,353,289,659,102,
122,105,033,842,514,418,612,574,437,134,278,665,594,447,651,731,766,220,883,
746,884,442,507,499,760,395,087,078,110,892,890,698,286,062,513,721,194,552,
497,607,547,634,398,267,772,599,446,734,752,242,294,896,360,162,507,433,592,
653,547,940,496,019,159,759,678,107,560,191,409,521,588,033,382,993,370,611,
624,979,617,462,174,550,290,296,019,892,806,347,227,051,643,597,156,689,237,
824,416,827,490,600,586,520,984,061,097,761,160,266,162,181,939,316,626,614,
738,584,303,320,559,248,800,719,680,774,664,288,275,642,764,718,093,503,859,
401,524,961,862,185,746,002,349,763,458,794,891,439,241,609,415,507,718,513,
303,233,521,358,516,007,570,245,617,037,461,102,890,798,495,132,689,327,229,
110,246,772,875,944,042,205,486,933,609,200,690,137,042,051,946,120,927,503,
110,235,773,792,568,124,310,899,983,567,098,130,363,472,968,701,364,062,277,
049,556,333,826,492,843,177,436,273,341,870,187,252,560,244,913,355,497,396,
483,458,518,415,496,033,979,087,038,452,917,409,095,347,969,747,975,276,647,
180,270,107,858,606,747,660,005,193,265,577,682,423,151,193,705,251,815,661,
022,753,276,485,253,616,210,344,676,137,949,685,731,497,702,913,487,443,192,
172,989,347,354,513,253,440,752,720,268,004,782,696,821,758,187,036,148,834,
122,864,505,508,287,754,335,550,341,900,387,048,455,823,826,498,948,614,272,
109,784,967,860,315,870,159,993,782,412,898,387,736,062,731,563,380,179,452,
066,707,833,741,792,980,167,563,122,561,717,324,683,400,985,757,636,100,288,
500,303,550,750,632,636,969,410,442,117,634,998,906,301,988,242,260,214,432,
782,226,234,926,937,438,310,049,627,658,927,135,773,784,293,660,037,584,157,
632,635,280,658,819,946,448,634,363,517,178,308,167,651,725,085,593,717,742,
585,366,653,400,405,244,170,503,603,291,351,900,501,425,887,662,081,895,704,
612,872,099,911,893,295,461,847,737,759,059,312,723,490,177,094,167,017,382,
247,097,464,307,907,607,926,823,468,682,890,268,677,855,448,275,938,500,699,
077,661,721,800,881,766,870,850,879,794,439,824,045,804,567,920,267,202,005,
229,974,898,276,236,231,391,896,807,962,368,066,736,467,949,407,152,991,420,
820,920,546,986,472,265,100,806,249,871,947,970,412,386,479,967,403,515,895,
843,206,604,832,023,344,630,800,665,258,485,175,697,499,738,306,497,442,450,
251,176,590,603,303,068,957,156,536,311,996,684,009,238,961,584,001,992,337,
040,147,617,647,039,055,781,295,783,319,124,074,749,361,499,062,474,670,962,
281,178,768,038,213,518,697,366,108,053,920,088,284,709,932,535,209,841,066,
646,167,631,122,926,323,346,057,316,048,756,544,143,644,896,518,443,594,935,
686,763,095,781,342,151,666,082,431,523,723,651,571,883,455,583,892,941,415,
576,196,615,662,900,602,987,655,814,961,441,644,713,798,309,409,870,519,735,
507,464,788,486,803,492,857,075,235,291,968,527,004,752,587,813,797,641,467,
090,844,418,853,482,285,102,286,310,331,979,781,927,002,338,169,116,352,355,
140,126,760,554,282,374,588,914,294,598,651,906,627,038,905,093,244,500,445,
242,882,482,418,171,840,357,441,414,635,378,501,119,236,507,810,591,061,980,
537,436,223,774,831,384,270,149,504,149,334,924,924,108,935,239,923,543,391,
815,671,101,458,344,493,770,907,062,617,898,958,731,424,404,167,184,190,607,
000,270,509,457,901,641,470,146,066,729,699,428,680,087,462,894,722,543,328,
341,179,156,055,968,492,111,412,596,052,623,100,206,282,236,008,295,473,305,
750,268,832,594,393,735,084,766,271,037,086,855,587,459,018,080,990,062,837,
094,810,966,094,421,695,848,292,775,778,576,499,062,884,248,872,605,166,154,
869,317,333,403,887,343,262,882,124,071,768,935,371,542,662,825,759,829,899,
432,667,408,031,609,029,722,932,449,862,091,302,225,115,564,172,188,377,911,
821,083,937,931,186,866,815,824,556,552,997,339,021,186,512,566,033,314,741,
112,319,060,472,346,495,390,729,017,495,308,025,980,012,374,662,159,928,775,
937,695,547,326,658,817,072,968,959,257,789,413,642,136,490,289,696,828,281,
291,798,551,598,511,360,185,264,399,785,004,897,864,319,496,273,819,486,190,
771,896,713,927,704,376,249,925,726,864,572,086,609,030,617,819,074,119,981,
365,530,803,144,790,667,060,569,446,552,853,550,047,729,306,898,612,043,678,
674,412,378,136,645,819,224,995,949,249,393,638,051,096,987,238,187,202,285,
550,491,777,789,774,998,696,486,985,063,557,475,932,446,900,872,273,802,554,
785,268,302,603,529,191,869,957,594,471,698,618,562,832,108,718,067,615,747,
529,199,090,908,100,930,565,319,838,781,584,964,654,746,143,894,459,319,215,
822,593,688,662,462,570,012,265,098,083,428,757,689,909,875,314,626,143,720,
523,787,809,042,936,083,119,186,631,978,779,606,344,503,691,960,019,735,866,
893,268,592,947,873,140,987,427,701,302,973,248,386,517,979,787,296,723,338,
893,058,219,588,558,622,668,654,464,172,050,354,848,373,039,523,615,317,318,
955,919,692,366,987,290,212,111,020,827,916,835,270,925,424,315,419,356,926,
740,735,870,819,115,178,554,539,266,117,538,462,397,872,565,108,880,666,245,
693,297,460,155,838,196,525,920,786,684,493,731,534,827,437,353,185,927,353,
872,144,288,100,721,792,853,136,182,146,501,386,243,749,130,928,487,697,863,
968,042,472,025,532,365,288,872,447,372,175,900,571,202,366,845,599,278,330,
613,176,714,514,375,361,890,575,879,185,348,981,970,238,381,751,516,827,344,
321,249,062,787,507,460,317,592,332,237,142,138,859,884,598,176,127,330,665,
595,210,896,706,764,977,250,821,962,548,019,252,655,853,931,575,775,129,243,
886,308,145,966,921,419,801,781,569,743,324,808,684,332,150,447,744,524,169,
740,620,718,138,111,747,371,072,443,672,782,049,042,528,267,323,390,264,750,
691,949,113,981,371,140,645,672,816,975,155,614,360,248,653,955,577,380,775,
922,762,800,415,634,141,939,053,147,668,131,788,806,277,424,344,263,450,866,
096,143,509,561,316,548,206,973,309,669,675,976,410,192,233,911,252,127,315,
142,783,178,945,484,911,337,134,097,343,978,314,675,930,052,356,875,219,794,
860,721,736,964,101,976,990,045,615,344,834,117,986,914,715,854,033,802,763,
297,914,670,214,842,596,400,766,981,630,803,463,892,081,863,527,608,164,970,
308,144,499,926,929,474,192,426,969,942,197,050,061,912,998,370,015,485,480,
729,981,887,760,854,619,474,582,706,909,472,308,685,999,092,652,574,474,778,
856,844,631,328,866,597,260,896,029,822,740,290,446,847,185,010,509,381,378,
601,727,162,747,558,288,632,251,250,203,957,405,729,201,294,783,278,263,267,
758,159,022,202,719,346,098,006,054,157,429,583,678,493,370,431,832,102,608,
681,698,868,392,735,580,303,173,779,296,903,510,456,608,212,335,492,980,076,
350,554,149,846,300,628,609,218,192,105,332,330,886,820,361,312,077,033,998,
358,683,060,565,203,870,134,197,776,553,667,848,121,621,883,335,100,331,850,
225,344,580,244,663,946,357,093,875,376,813,546,588,799,171,491,955,322,520,
055,908,470,240,960,850,660,275,347,775,038,178,058,585,741,634,935,646,006,
449,357,961,708,095,926,759,719,686,699,864,918,540,529,918,456,799,161,443,
560,590,245,738,174,870,134,272,001,873,088,416,172,663,698,421,212,071,423,
704,842,951,184,071,632,909,900,105,995,110,646,043,478,984,727,070,894,217,
305,826,814,989,490,662,565,256,033,032,773,120,438,253,145,535,246,351,966,
773,095,131,170,735,131,972,926,182,940,595,666,014,360,352,047,018,524,325,
454,662,019,487,472,338,524,933,054,298,333,832,101,399,519,151,845,631,199,
974,798,684,779,858,790,763,415,235,963,739,727,070,849,586,648,483,099,115,
022,615,494,324,475,306,879,728,882,580,956,442,436,723,532,863,132,270,064,
838,469,626,898,412,328,073,142,086,343,669,932,947,743,122,808,778,285,471,
704,228,998,453,233,704,194,590,544,875,314,012,817,177,980,457,431,950,983,
287,383,669,846,895,723,138,627,796,593,827,734,742,662,562,147,772,526,481,
705,372,955,274,609,267,884,939,101,426,739,686,384,047,568,385,514,924,725,
258,399,087,057,624,228,251,410,402,780,199,425,029,012,600,768,780,714,089,
796,612,219,742,236,702,712,532,392,816,474,337,947,385,307,345,328,300,297,
772,358,974,131,340,962,902,065,408,669,412,501,138,420,802,824,048,413,339,
622,696,446,757,590,070,090,939,353,026,037,700,313,529,815,396,100,400,545,
776,442,219,290,550,408,449,656,515,941,713,606,578,596,393,735,353,316,266,
703,210,585,414,439,819,301,835,452,769,981,705,885,318,907,714,533,535,198,
349,910,233,388,698,198,715,845,984,992,680,433,485,996,874,386,050,007,607,
193,607,164,536,969,215,388,668,801,995,326,963,698,448,575,624,905,431,051,
308,901,212,300,985,359,476,442,388,885,266,728,480,731,110,298,862,817,222,
991,341,208,073,460,915,412,288,945,222,130,545,408,268,697,728,437,175,469,
655,719,012,731,927,885,527,334,312,771,856,829,414,473,098,514,351,380,927,
365,825,631,015,023,600,651,626,356,758,373,803,644,950,979,470,323,718,223,
482,960,219,753,184,439,314,949,763,545,525,223,698,333,179,264,936,487,219,
534,825,732,921,568,899,875,440,230,448,546,293,247,661,274,376,818,194,795,
122,264,651,587,916,170,830,095,666,253,542,247,980,679,378,677,487,409,652,
357,022,687,537,333,274,652,444,218,440,370,175,662,471,140,667,487,222,152,
845,538,543,784,533,240,194,453,046,196,746,460,303,699,093,092,886,504,241,
588,898,806,022,650,716,198,245,885,009,049,968,079,721,498,665,488,630,282,
702,467,815,768,255,835,824,454,849,490,402,107,989,403,641,569,859,200,816,
005,852,800,289,654,526,364,895,480,588,647,828,364,602,612,109,349,235,245,
761,281,857,966,516,046,614,438,477,935,682,464,543,798,644,023,656,028,242,
865,839,534,669,906,444,660,762,984,959,553,206,049,657,854,409,133,102,896,
630,561,948,784,624,590,387,987,908,959,227,706,746,859,853,946,781,398,881,
344,769,498,389,914,213,567,409,603,326,406,807,116,821,081,287,114,665,977,
231,372,786,168,188,909,440,066,428,243,581,504,628,994,126,079,524,835,495,
473,964,342,866,197,522,254,466,168,867,207,986,604,385,009,642,178,445,945,
194,434,591,848,543,581,503,243,608,149,710,609,468,807,725,968,775,631,277,
214,041,763,070,699,726,032,098,948,741,427,658,548,682,744,218,963,984,936,
931,692,266,851,762,110,953,237,034,617,830,091,083,591,138,691,996,382,198,
755,260,426,272,765,164,810,268,767,093,417,310,560,809,744,759,641,682,034,
438,991,581,127,461,948,219,125,051,658,991,917,315,375,035,586,743,832,685,
674,598,402,831,581,044,577,025,493,043,954,192,871,001,803,828,713,336,632,
967,795,860,521,331,617,262,652,642,025,771,803,777,080,383,760,275,959,840,
771,860,159,229,560,267,537,885,529,887,484,271,436,468,020,765,714,318,180,
971,719,652,380,881,570,565,700,877,144,354,901,880,767,475,369,362,810,460,
603,445,497,847,338,067,345,417,932,621,334,176,946,363,080,744,228,608,419,
240,826,022,368,810,894,436,188,506,735,161,106,667,878,559,996,733,794,665,
490,167,805,346,365,323,002,308,207,880,397,593,956,366,631,535,722,461,379,
736,880,409,209,256,146,378,206,786,239,676,804,636,298,084,207,162,649,631,
076,187,149,600,356,439,721,998,856,744,251,015,917,926,829,213,580,571,079,
933,055,207,144,029,253,710,160,571,348,363,178,228,819,787,359,302,962,093,
563,526,575,791,512,341,903,500,694,527,519,265,469,678,062,750,560,693,447,
341,025,818,557,594,946,657,877,811,320,790,650,886,850,943,088,343,596,290,
620,549,892,256,319,257,614,653,773,382,775,751,679,661,651,346,421,264,275,
270,204,854,259,247,471,093,151,637,310,188,513,838,493,692,919,497,112,116,
157,241,446,162,265,348,524,399,539,878,763,001,989,424,979,648,532,979,354,
895,828,860,687,215,740,321,671,524,247,623,757,762,374,064,760,437,944,307,
721,807,751,779,057,174,974,229,692,524,333,650,383,154,060,492,349,292,114,
040,250,008,913,041,112,039,732,458,229,144,634,926,326,681,959,919,571,287,
865,149,468,622,399,097,334,947,101,784,741,757,165,672,899,957,904,083,648,
770,579,410,905,375,072,114,149,380,580,078,112,122,388,644,627,998,307,292,
610,160,185,445,992,606,836,803,775,093,011,271,331,907,904,396,145,961,746,
662,965,460,230,437,027,885,298,501,789,887,224,511,841,011,761,242,397,686,
657,846,179,178,331,874,365,717,543,019,602,652,403,997,424,096,279,932,067,
784,039,778,994,910,785,301,297,372,289,716,694,026,887,923,372,900,398,880,
885,652,520,934,004,805,514,248,630,022,576,316,414,342,357,066,405,067,129,
111,190,347,701,035,521,828,303,640,285,809,238,208,131,706,870,205,033,613,
738,062,795,563,933,170,455,304,742,888,426,712,019,128,064,518,601,408,551,
337,165,250,403,141,956,049,588,786,762,561,793,370,635,205,736,018,090,512,
161,431,445,728,115,259,048,088,650,351,894,795,570,055,462,938,856,591,570,
232,397,457,007,879,851,029,171,415,036,159,299,811,987,258,138,710,913,236,
075,150,596,380,413,024,556,858,076,267,462,667,407,131,690,514,150,099,755,
571,366,647,403,719,836,409,812,046,115,449,995,634,075,867,868,221,932,650,
585,479,876,230,762,961,399,742,535,265,854,120,210,302,065,231,966,034,793,
433,794,679,625,673,180,225,943,134,105,303,145,534,450,334,976,148,928,470,
442,384,913,260,972,157,508,344,717,733,575,317,370,734,806,628,814,169,155,
737,703,207,008,932,155,044,908,667,330,303,119,530,137,592,999,185,275,018,
527,618,602,447,464,348,228,063,280,228,136,820,692,188,247,480,566,005,298,
783,283,967,482,648,741,742,975,841,514,499,441,302,276,320,345,484,475,737,
205,037,476,562,691,981,223,066,446,745,413,998,680,725,057,709,442,423,928,
022,086,557,967,669,415,471,311,658,917,322,120,208,570,813,318,635,816,938,
627,403,238,826,425,835,548,368,646,659,619,403,621,069,756,565,200,437,149,
732,676,732,112,411,617,352,460,564,356,758,173,658,313,823,102,317,450,368,
335,366,812,215,588,730,834,688,144,838,103,763,828,224,414,736,823,061,896,
689,333,168,188,233,775,439,941,712,032,992,731,444,564,091,708,971,313,649,
976,714,607,907,467,835,240,412,241,318,570,136,650,840,790,873,844,404,161,
644,628,038,911,398,262,624,931,604,155,834,038,307,431,188,570,033,600,556,
259,555,811,731,963,247,122,268,482,706,882,991,974,233,196,884,762,007,402,
460,550,041,386,650,851,118,125,097,260,379,784,119,186,527,551,766,809,299,
136,126,687,596,980,768,959,192,800,317,929,059,064,971,146,150,903,519,627,
093,321,511,090,022,282,713,766,899,265,772,451,266,727,255,746,051,450,418,
883,386,326,996,115,304,935,770,891,292,480,177,802,967,987,143,276,649,567,
207,252,985,175,024,559,072,980,516,598,044,696,633,424,513,038,271,940,884,
917,051,936,730,337,550,191,573,254,272,769,025,783,651,389,084,472,405,821,
071,452,429,863,604,626,897,694,505,215,449,494,540,122,488,968,893,118,328,
778,813,137,110,163,162,389,653,414,367,365,278,353,887,148,865,229,815,420,
427,954,704,007,438,463,687,174,680,207,762,409,385,596,670,150,435,639,687,
115,776,965,729,006,345,326,731,102,072,781,132,500,322,758,998,831,960,964,
814,805,689,212,462,036,973,109,537,404,160,547,683,672,227,031,944,106,869,
520,924,974,578,308,138,665,739,188,476,437,491,497,294,750,108,061,400,396,
629,957,115,397,531,331,980,298,924,253,342,441,763,084,412,648,478,685,878,
775,194,783,070,922,474,235,081,091,288,142,440,455,999,982,890,210,498,911,
873,411,410,640,303,227,165,219,225,135,946,488,394,861,457,335,366,238,690,
139,834,755,498,872,049,631,464,723,573,397,604,223,507,927,310,360,283,879,
135,159,045,220,050,906,704,947,070,760,017,123,395,343,726,325,562,476,527,
179,961,114,358,387,775,934,782,369,263,266,966,915,685,874,455,105,054,145,
024,105,697,228,990,976,514,326,829,197,317,748,578,523,404,054,017,896,900,
615,208,189,701,004,184,600,247,377,904,606,685,870,937,914,244,381,662,324,
431,978,863,159,687,805,900,610,644,322,051,794,393,124,556,983,008,858,347,
821,743,959,702,720,895,394,627,328,878,618,580,926,638,331,711,723,966,150,
939,040,796,053,785,482,250,827,594,109,008,110,185,833,089,381,186,103,173,
997,710,217,461,708,796,748,420,053,343,375,938,601,507,253,800,419,854,483,
074,293,300,279,508,671,022,096,225,468,282,443,054,926,121,791,307,015,216,
310,216,109,572,213,504,312,449,142,396,435,469,119,176,371,760,969,572,283,
801,712,731,600,815,256,952,689,560,057,009,565,846,348,714,795,408,431,219,
250,683,400,412,194,681,545,581,570,100,953,265,616,212,269,161,197,208,520,
283,654,177,309,748,678,055,042,987,846,190,196,581,743,997,488,034,376,700,
195,647,687,567,816,456,906,017,454,429,560,181,018,458,162,536,735,661,998,
599,630,196,349,620,805,883,371,874,629,962,798,561,306,857,574,811,548,062,
685,991,671,205,540,832,058,955,099,721,415,559,528,696,659,453,255,901,362,
662,893,161,301,138,643,459,451,631,731,238,950,138,791,719,947,507,525,189,
201,471,229,657,280,516,168,081,353,400,847,597,726,557,002,408,870,998,789,
952,698,896,031,644,698,445,560,631,685,151,926,362,014,313,915,410,182,171,
330,755,300,363,680,323,686,481,241,344,589,573,904,772,539,476,374,925,366,
585,443,799,013,659,716,541,638,789,093,628,152,185,055,470,199,591,965,603,
716,049,124,257,282,715,485,911,751,828,084,828,070,530,339,520,061,030,735,
959,299,931,350,290,464,124,569,315,377,560,361,018,856,053,189,611,614,621,
235,008,948,276,289,973,304,659,134,354,027,579,810,075,128,261,492,925,998,
373,502,284,739,514,745,860,400,218,006,853,196,682,808,580,774,379,760,016,
670,032,394,977,493,383,350,551,031,185,472,855,798,596,480,571,359,812,269,
644,040,435,863,770,865,823,645,342,316,942,846,021,049,046,853,264,562,101,
445,697,569,568,177,372,432,834,957,797,487,132,280,444,939,847,326,609,851,
179,881,611,658,676,435,844,872,584,032,082,378,962,945,722,237,037,559,367,
791,016,435,457,316,914,744,050,179,722,052,900,747,124,709,118,481,008,911,
260,068,021,023,095,911,061,816,285,398,234,626,457,841,258,737,278,049,889,
663,623,535,618,460,413,739,410,973,336,703,685,226,192,631,860,050,381,400,
707,412,490,769,289,062,303,443,235,398,675,635,091,029,897,303,442,633,519,
066,430,026,500,341,458,565,275,637,422,266,391,151,811,980,956,979,104,321,
543,998,611,565,725,231,519,526,777,525,802,969,991,103,196,162,622,768,600,
554,940,592,914,396,204,677,801,304,656,097,051,861,644,050,117,929,286,627,
783,004,784,002,107,485,630,562,296,621,589,128,296,562,417,070,880,399,672,
303,525,066,899,409,359,741,383,115,483,446,021,739,186,020,125,107,326,970,
341,407,705,361,250,102,011,474,935,416,328,991,048,475,094,649,102,258,973,
850,831,961,459,801,533,468,185,928,294,444,794,637,463,608,873,929,813,202,
372,901,027,908,112,908,110,199,795,219,737,675,476,631,101,571,582,293,588,
556,543,261,002,595,637,219,535,732,766,503,050,438,646,769,397,684,886,849,
678,107,506,368,714,508,517,096,774,519,263,600,915,231,208,030,197,461,240,
052,985,357,900,727,163,295,696,469,505,592,700,129,673,568,948,318,204,501,
001,346,777,669,601,951,343,210,806,837,445,972,819,409,991,250,673,581,276,
057,996,629,391,764,398,405,450,827,031,111,604,646,091,972,100,100,690,788,
228,607,294,333,422,434,910,339,612,206,288,705,382,595,962,228,051,642,389,
948,894,180,204,155,001,912,276,327,793,412,811,145,065,165,543,660,183,513,
545,098,871,229,002,489,628,494,820,029,701,483,023,408,872,213,860,003,552,
085,474,190,099,986,657,820,885,781,811,159,817,353,991,043,379,609,882,895,
638,138,294,198,774,504,888,386,891,711,732,267,582,467,093,938,371,002,862,
910,765,392,550,348,993,740,380,940,077,782,160,258,646,910,947,850,118,481,
065,047,587,942,186,121,612,773,414,754,576,169,149,766,064,491,987,345,283,
222,538,211,953,478,198,755,574,182,182,047,992,750,320,047,984,549,216,811,
034,758,896,345,137,309,846,360,738,971,318,398,477,237,997,964,616,024,668,
088,952,018,045,333,459,363,208,426,403,129,677,721,617,841,951,339,032,266,
550,822,601,528,226,166,255,854,190,915,932,518,392,923,133,261,662,550,363,
814,337,362,405,557,091,711,513,770,567,043,670,967,992,390,413,796,211,716,
590,421,420,639,419,352,014,875,605,550,166,848,039,611,375,132,224,469,162,
812,417,164,465,543,393,178,650,521,362,885,503,264,015,204,001,704,525,324,
144,115,504,141,251,777,162,793,739,745,311,478,955,055,457,948,939,403,036,
125,418,652,110,073,193,887,101,838,885,420,111,228,662,969,247,444,253,015,
445,080,321,519,023,386,923,889,135,164,800,689,509,725,853,766,392,698,628,
348,570,922,602,451,631,559,803,472,551,657,309,062,145,200,929,996,452,494,
698,615,121,060,517,674,757,401,920,617,975,128,139,693,682,640,285,214,399,
658,000,336,903,204,550,055,006,071,107,389,997,838,869,736,444,538,894,161,
529,257,629,581,120,613,170,769,910,066,979,069,101,355,487,154,848,696,749,
984,150,302,698,274,209,157,666,125,162,161,889,323,069,259,321,163,995,855,
944,327,267,067,819,395,943,742,431,321,878,043,901,941,298,077,642,812,248,
125,249,181,564,756,616,018,735,907,537,595,275,414,949,744,464,623,741,417,
301,408,113,416,680,440,515,990,176,416,551,123,609,100,990,831,966,795,389,
936,934,839,774,703,980,977,982,422,673,310,459,204,903,702,175,596,299,142,
393,287,440,252,829,644,419,297,078,372,011,530,297,605,342,137,598,191,839,
929,045,153,968,908,650,778,556,152,998,334,317,656,315,125,547,803,494,617,
815,802,869,364,616,409,989,775,290,851,125,159,053,929,137,697,093,671,553,
423,054,648,270,146,849,787,757,447,826,885,822,750,285,199,683,078,426,819,
445,588,718,424,118,317,813,348,745,400,054,437,168,200,808,064,697,699,603,
945,391,043,768,343,457,834,206,144,524,793,609,624,020,660,329,986,106,165,
758,518,274,947,415,724,896,379,448,368,070,853,308,270,956,261,156,570,417,
452,229,231,126,757,703,714,954,347,990,628,017,976,513,142,479,903,737,339,
099,411,793,276,620,853,048,796,490,339,314,399,214,771,877,927,166,728,129,
326,132,849,124,696,386,139,203,437,843,232,778,556,903,417,277,920,609,121,
467,727,038,453,612,296,843,294,900,213,125,170,838,477,198,118,961,846,347,
734,057,310,941,477,265,399,516,836,291,150,385,102,895,840,738,017,645,987,
515,923,015,106,011,298,547,319,604,917,668,122,086,704,692,383,782,575,195,
635,646,023,646,195,555,902,540,404,888,490,817,402,348,353,024,650,817,561,
547,549,332,498,974,725,824,857,236,523,105,857,559,581,362,420,219,962,463,
723,820,537,239,937,527,240,159,697,025,608,635,736,375,573,273,184,687,422,
646,121,348,789,178,465,287,286,526,726,351,344,411,098,974,013,680,941,215,
838,646,598,293,163,101,918,678,867,234,287,240,370,621,708,976,147,302,373,
610,554,666,350,989,928,979,256,589,483,163,333,709,074,706,737,488,758,597,
926,241,206,174,524,015,474,089,661,619,069,848,662,028,128,717,946,255,900,
548,582,795,139,109,173,902,251,249,307,570,240,754,616,063,815,158,904,043,
392,509,261,953,266,177,386,960,280,434,837,506,415,746,790,173,759,131,032,
320,994,991,003,889,667,467,634,492,681,923,524,727,975,418,666,443,146,729,
730,327,878,446,963,574,833,147,843,071,080,374,000,504,440,127,574,264,742,
612,999,881,826,401,389,787,233,819,947,982,854,345,602,609,888,849,009,026,
837,681,042,211,121,355,049,389,780,960,650,534,099,088,917,979,540,878,797,
625,499,030,753,870,080,530,460,518,625,522,895,655,617,447,206,193,521,179,
928,218,544,800,228,346,977,720,811,365,895,054,121,335,353,949,771,482,430,
024,728,794,391,431,350,977,559,065,700,911,961,396,869,228,805,858,900,295,
764,334,585,534,340,579,902,619,286,265,927,716,954,503,321,925,309,795,405,
242,835,188,639,498,805,567,050,072,868,944,468,862,391,115,609,100,906,028,
011,800,026,499,169,946,760,396,638,713,937,532,186,117,749,970,254,607,945,
886,536,313,067,684,581,135,402,786,564,907,531,546,537,980,073,255,884,329,
666,814,266,473,734,145,729,339,903,643,871,409,541,805,074,085,075,665,829,
414,023,789,046,314,869,007,660,852,781,334,045,119,771,187,578,986,400,703,
119,334,321,985,344,976,230,916,326,811,101,832,354,863,883,828,996,653,428,
094,682,111,504,034,563,934,465,946,742,118,358,068,032,032,429,907,632,011,
783,454,657,549,571,200,774,169,314,368,452,840,466,789,213,462,398,327,657,
776,944,456,192,771,135,265,255,980,315,496,685,170,932,337,478,873,560,095,
592,145,602,473,989,703,586,220,091,084,725,881,769,754,972,548,959,669,725,
627,736,879,063,986,271,477,584,708,415,668,821,766,082,380,224,784,597,918,
671,170,918,385,263,750,497,065,426,024,992,790,989,265,554,836,439,719,912,
646,862,142,622,119,897,210,957,482,879,342,621,763,921,640,703,921,126,419,
878,045,691,437,593,592,130,208,120,645,531,966,894,508,853,192,742,062,134,
825,450,502,260,077,559,157,313,620,665,920,849,305,800,336,760,329,502,001,
358,895,074,431,455,806,696,098,017,175,132,189,164,339,156,899,042,283,502,
483,984,116,457,256,104,493,706,975,075,625,093,367,549,587,397,654,727,499,
135,355,815,592,686,685,574,605,937,259,725,627,455,779,452,943,156,975,199,
930,044,187,152,960,795,094,440,763,958,883,171,865,548,795,687,762,054,301,
457,054,438,721,694,673,573,426,542,216,891,497,859,486,548,025,687,180,755,
945,116,403,000,964,947,805,941,783,879,307,150,520,010,255,719,827,918,869,
690,920,801,028,411,956,183,032,294,424,424,567,871,871,407,386,276,235,694,
679,014,082,700,688,361,641,154,870,380,039,381,470,002,676,310,189,410,176,
878,022,580,907,627,609,663,691,555,183,236,028,299,651,550,480,617,004,310,
069,717,217,449,220,380,433,256,872,936,831,832,573,544,499,032,218,945,388,
965,501,477,733,239,140,362,101,612,949,217,715,450,800,542,102,358,038,249,
551,602,913,027,027,589,021,138,057,808,418,605,541,730,127,129,058,610,961,
039,657,664,407,404,415,711,928,880,364,651,427,479,700,753,885,220,393,831,
990,733,178,498,476,259,134,460,983,018,382,692,126,241,572,006,096,692,446,
471,196,408,300,126,292,449,639,490,125,359,633,564,571,343,950,538,260,485,
030,826,367,301,784,040,566,558,588,000,195,021,276,202,487,212,791,486,086,
109,983,116,035,538,205,662,903,875,840,068,451,707,336,907,246,107,572,101,
477,120,301,823,997,008,609,726,811,525,622,047,983,183,820,705,047,311,732,
992,339,001,970,825,212,483,146,934,169,469,629,090,380,776,286,677,790,675,
479,181,153,708,191,803,055,694,422,357,049,155,912,125,760,024,855,515,886,
629,685,691,525,650,721,961,718,686,397,035,569,915,765,475,835,626,647,354,
934,744,005,925,399,952,726,547,880,937,031,627,967,702,547,348,909,765,692,
143,827,664,347,074,906,576,164,781,639,727,692,626,091,779,897,879,383,026,
157,291,668,463,046,853,514,712,297,166,642,636,227,185,438,019,373,777,970,
353,052,542,387,731,897,764,401,808,624,089,305,458,457,801,637,209,922,826,
269,448,916,419,189,172,808,541,194,292,458,537,409,219,676,677,288,971,553,
518,097,805,606,822,070,432,147,760,984,878,654,526,923,890,821,176,377,692,
941,381,298,306,670,948,412,079,291,484,887,169,295,283,285,202,166,587,589,
616,661,651,819,471,048,340,611,890,649,284,576,917,869,044,769,089,416,110,
819,549,429,207,860,610,664,437,337,410,831,307,760,904,122,745,345,234,382,
810,397,989,100,137,703,049,784,809,132,760,310,492,672,963,952,402,289,372,
743,421,043,099,493,683,738,364,197,947,367,983,705,245,725,585,395,105,713,
799,031,948,526,066,664,418,470,750,919,926,184,853,016,060,016,073,111,330,
061,218,939,305,601,267,130,677,720,203,101,851,722,107,957,719,572,502,464,
718,092,708,230,994,379,387,368,235,483,528,488,313,538,160,195,781,468,259,
809,811,889,640,669,194,825,441,039,592,494,337,601,793,544,342,146,693,640,
446,902,915,344,214,725,549,378,606,713,798,508,533,444,917,579,505,309,370,
964,208,556,170,679,395,245,226,180,597,580,680,198,373,456,160,963,117,269,
254,826,736,298,961,268,238,112,733,744,720,139,906,958,851,527,117,246,298,
452,221,183,768,321,991,517,019,056,400,904,157,095,907,759,721,099,855,743,
378,097,298,204,623,982,327,420,657,244,489,126,837,092,721,546,903,775,411,
479,853,880,215,956,319,800,663,656,940,243,445,225,725,762,447,974,818,776,
587,419,520,070,700,456,089,641,400,081,727,308,722,086,274,043,319,387,798,
701,573,596,674,971,665,881,332,554,630,558,341,311,320,646,648,219,870,521,
542,508,927,686,735,144,057,323,081,204,085,019,619,596,472,170,530,619,557,
129,253,982,970,927,358,928,983,066,416,472,433,582,884,629,562,577,945,011,
683,375,384,012,707,427,436,548,926,972,908,593,294,775,868,256,403,759,595,
625,527,186,995,311,703,109,821,850,821,921,513,680,135,675,211,925,967,780,
881,300,808,832,459,136,603,001,127,108,855,113,290,821,447,691,240,394,707,
541,646,720,354,071,062,316,152,107,078,060,549,746,020,823,512,774,975,592,
905,889,784,395,954,616,641,462,245,483,072,525,791,439,677,126,995,682,295,
858,005,648,514,081,144,645,682,736,885,965,036,979,289,398,118,068,657,097,
588,665,256,200,241,725,193,824,636,526,611,104,578,827,256,751,524,840,706,
783,097,373,142,616,428,293,568,300,685,268,785,946,970,394,694,609,498,502,
539,924,804,021,121,723,851,845,902,059,010,113,185,766,547,611,915,024,822,
819,988,442,084,796,328,135,345,851,368,648,432,856,219,641,717,605,576,797,
406,878,620,098,663,426,228,464,373,676,597,020,521,874,673,474,978,429,748,
939,229,494,122,639,135,909,421,015,939,245,783,731,262,130,863,632,056,980,
313,809,313,682,641,021,138,365,805,175,302,019,018,000,932,346,900,961,031,
390,418,725,580,397,268,064,076,505,141,715,287,003,158,337,711,786,491,464,
498,554,068,801,181,675,565,122,428,021,711,747,643,023,633,139,952,656,906,
655,461,786,165,267,739,852,624,880,912,024,172,507,051,089,721,825,338,851,
344,563,134,390,832,373,828,798,127,323,862,005,915,550,375,290,224,836,582,
110,412,307,846,854,143,653,335,300,991,624,583,855,266,242,016,112,245,414,
347,841,289,464,221,416,497,198,056,317,829,360,014,309,951,769,578,729,676,
866,899,694,367,969,518,164,642,527,082,497,447,335,475,175,239,522,936,311,
982,828,971,111,847,680,022,664,311,190,780,277,201,671,042,016,005,601,581,
846,562,554,866,074,566,088,497,222,071,081,009,397,824,391,168,622,649,615,
722,426,373,910,907,110,109,871,946,418,670,500,091,850,306,967,550,802,529,
227,155,128,654,987,631,310,214,154,899,446,950,357,445,340,374,607,021,809,
337,530,436,888,612,927,804,086,084,242,610,974,418,465,496,913,431,924,583,
591,156,793,646,478,613,554,601,838,960,139,045,577,798,414,026,995,463,748,
821,397,049,365,538,354,616,034,266,163,924,937,280,963,259,181,625,922,612,
482,726,365,070,936,390,001,088,916,145,773,936,276,743,914,152,997,177,312,
602,075,131,996,914,841,185,464,642,091,105,412,426,212,869,279,468,260,700,
376,395,748,870,049,732,618,039,024,874,537,063,090,714,685,543,289,024,863,
164,829,070,422,346,689,315,857,190,229,045,243,366,848,165,582,596,562,073,
564,180,416,977,314,281,173,894,220,678,261,032,940,113,875,623,024,082,944,
046,364,904,882,456,110,205,263,611,887,381,460,266,748,689,889,107,432,933,
950,244,221,756,438,612,657,893,422,971,808,989,759,515,277,090,383,887,889,
429,650,483,210,261,595,222,723,165,655,371,724,419,340,222,778,597,057,215,
703,361,762,529,971,688,469,962,603,990,043,080,362,972,678,189,127,135,691,
366,596,035,053,658,900,068,274,173,823,199,752,686,986,307,177,542,126,161,
089,319,253,661,697,616,954,420,308,785,116,144,335,155,757,867,543,045,457,
679,164,083,612,094,372,148,140,172,775,536,256,904,345,222,536,226,610,443,
609,289,378,443,769,207,278,783,569,630,992,093,473,144,954,149,242,101,451,
785,595,931,097,741,924,715,472,924,452,164,200,911,818,536,840,380,933,641,
429,654,691,572,943,159,940,726,683,308,420,539,968,340,526,929,756,517,247,
135,634,759,421,472,976,655,199,743,703,093,340,738,385,311,084,077,657,035,
977,414,034,589,923,113,064,319,131,076,832,316,474,190,860,846,689,176,339,
307,074,799,660,819,693,362,522,033,316,265,920,330,590,714,542,484,450,678,
549,058,320,919,734,701,652,401,609,819,627,787,500,207,298,739,827,605,121,
953,108,805,876,817,776,659,675,037,904,110,579,039,588,074,850,326,652,262,
877,089,639,884,935,095,882,257,303,124,975,864,926,492,797,076,202,113,801,
727,327,722,314,656,344,844,733,544,437,867,223,952,201,285,818,923,063,064,
510,391,871,185,578,467,224,988,293,238,832,827,710,798,240,248,792,819,903,
209,241,103,683,913,801,495,559,141,975,791,936,019,058,765,993,447,363,621,
934,500,747,235,479,683,404,281,440,935,176,341,641,302,544,819,127,696,297,
583,370,360,232,174,702,286,825,334,340,365,524,422,956,985,124,176,797,084,
048,426,770,008,468,482,395,245,094,140,077,166,781,288,979,817,761,638,134,
297,697,295,342,345,774,291,004,605,815,710,898,687,692,669,665,613,393,120,
305,459,553,502,000,653,703,180,721,357,880,702,164,748,036,357,614,331,228,
650,163,055,298,100,900,847,641,700,832,930,034,347,423,418,533,955,982,291,
693,399,652,939,452,646,894,055,538,623,524,284,362,740,175,102,719,372,162,
037,649,583,061,599,373,381,938,570,074,593,168,230,605,474,767,088,877,837,
440,751,176,303,207,833,273,639,465,153,789,580,874,009,733,842,441,607,315,
746,588,652,711,071,115,381,061,410,214,976,747,826,700,552,052,008,785,447,
519,105,408,043,074,036,982,687,669,179,215,424,328,660,078,943,265,787,279,
292,147,820,312,500,981,227,405,616,756,610,097,551,416,714,037,136,526,889,
624,680,170,224,237,611,926,423,596,193,678,164,191,105,470,490,498,581,377,
073,074,210,693,692,527,487,562,560,011,424,010,473,384,349,757,732,156,672,
135,955,878,508,442,061,990,132,132,988,794,686,512,269,131,711,804,459,870,
790,771,943,182,832,316,879,106,456,109,983,688,613,207,960,494,697,297,003,
806,740,628,830,973,573,352,427,055,213,644,586,326,061,304,351,921,926,016,
406,572,849,108,812,234,431,313,394,055,464,820,396,885,540,159,498,446,447,
508,519,379,399,877,400,332,836,904,469,585,201,176,420,748,352,002,184,643,
789,785,056,517,313,464,976,475,733,787,373,963,271,814,642,640,239,292,023,
133,543,209,941,351,440,381,984,275,229,593,117,485,326,365,721,308,968,483,
096,622,441,875,189,691,649,835,796,805,748,025,277,333,965,140,897,786,360,
213,158,581,083,625,356,460,588,402,413,434,442,119,217,527,562,572,943,829,
975,131,613,572,126,757,047,208,963,236,719,067,763,861,303,249,134,727,793,
680,649,416,097,181,463,872,912,828,170,511,991,802,602,352,564,385,327,987,
646,052,236,724,258,199,760,036,004,552,987,655,685,680,093,766,981,946,846,
203,007,225,942,233,264,193,979,275,587,543,803,920,900,220,492,953,070,886,
991,049,627,965,466,658,822,330,921,872,531,906,609,121,870,845,646,263,215,
871,702,108,365,453,571,663,450,055,203,189,204,213,301,866,981,673,418,645,
148,923,774,280,821,139,354,042,894,377,364,128,218,229,946,411,945,149,494,
566,861,320,823,110,045,724,431,245,203,697,318,726,543,332,973,658,626,951,
797,330,569,760,092,435,457,683,631,832,623,801,032,353,001,501,833,906,708,
585,979,949,817,403,366,586,890,601,927,714,783,943,911,572,144,866,745,624,
177,907,594,029,230,329,611,627,188,663,973,711,674,214,696,653,350,256,097,
959,992,831,427,022,907,759,500,559,676,529,108,597,707,130,258,046,353,616,
364,724,799,752,362,797,781,897,658,413,484,105,331,862,287,052,770,874,787,
374,971,996,244,544,502,814,008,764,677,358,190,986,681,581,540,454,830,836,
089,576,953,245,502,321,017,416,115,251,695,893,504,513,085,031,268,543,231,
800,389,759,577,599,607,369,090,043,049,483,630,344,735,886,074,865,720,288,
127,886,562,092,041,115,769,716,075,864,062,760,089,551,753,274,030,356,061,
924,006,866,966,496,783,340,925,645,528,321,064,360,927,431,693,731,926,902,
912,686,985,450,849,275,988,033,106,487,649,459,627,231,977,687,284,437,768,
511,674,482,790,067,985,250,445,815,374,564,435,907,698,965,355,762,598,782,
396,879,720,867,782,137,658,099,264,177,503,382,994,821,393,319,490,590,873,
902,208,140,574,708,773,540,509,922,199,825,574,740,973,605,989,649,517,082,
070,227,939,080,344,449,257,043,400,344,952,642,230,926,205,798,999,179,597,
394,452,224,494,240,280,006,549,757,798,250,372,993,579,646,250,918,798,653,
706,695,158,683,730,686,362,174,156,606,296,466,348,072,999,011,812,019,126,
487,685,564,207,786,551,005,297,791,207,110,471,245,165,695,088,220,917,712,
221,756,676,540,196,872,690,657,913,041,478,365,795,397,614,640,835,229,437,
824,947,026,459,446,762,382,122,016,985,520,982,458,467,056,029,195,817,450,
153,283,003,851,806,946,773,758,747,199,298,868,248,698,224,915,552,273,983,
835,635,075,237,475,844,623,924,337,940,741,641,416,113,622,264,803,346,306,
562,913,353,057,341,217,817,454,755,897,470,187,298,524,385,736,411,771,204,
574,416,919,831,378,689,853,176,770,921,573,021,771,639,952,141,301,320,351,
573,176,119,365,414,255,461,188,776,471,640,696,531,375,853,588,064,018,140,
392,533,209,423,539,942,064,256,111,889,307,998,481,862,064,514,746,992,709,
346,680,617,046,916,780,979,457,895,692,029,623,514,742,881,171,306,739,801,
224,557,155,764,161,992,872,458,417,220,424,787,764,570,145,893,347,202,715,
641,524,145,097,690,707,190,162,294,697,026,756,239,310,597,899,213,409,206,
704,990,250,917,001,567,930,373,222,628,580,414,414,196,381,763,523,373,035,
711,535,309,008,681,103,370,637,340,419,241,639,114,975,679,206,465,201,239,
482,979,434,697,751,608,461,854,275,707,565,230,260,583,253,450,757,796,108,
167,758,178,772,025,476,735,489,630,417,624,375,824,775,849,422,009,948,546,
301,256,470,619,102,016,361,548,797,048,885,181,347,812,220,836,613,942,097,
942,308,874,222,134,800,716,794,221,867,821,708,764,982,811,602,654,490,718,
854,114,866,539,172,698,469,056,142,089,233,971,677,264,516,397,478,408,664,
185,162,701,121,477,639,656,107,302,458,434,767,423,423,421,677,331,957,622,
588,475,303,589,796,075,802,770,112,286,495,228,616,265,959,424,775,756,516,
450,192,167,612,434,279,162,402,155,902,566,613,753,577,372,008,346,624,403,
719,498,207,948,823,578,767,613,959,674,345,267,601,182,663,756,127,889,128,
976,325,568,565,132,309,983,292,095,466,265,898,155,753,908,413,411,991,105,
405,938,946,040,227,746,435,511,526,719,815,836,909,411,210,118,435,438,067,
326,030,538,766,382,123,983,069,436,365,308,348,414,808,546,592,777,523,433,
412,225,156,337,913,525,668,556,908,658,501,292,628,054,625,954,628,781,709,
600,478,520,054,630,524,542,356,859,657,940,366,759,965,660,625,197,957,351,
999,140,125,369,228,065,212,148,807,610,771,585,049,462,248,031,058,082,189,
051,656,157,146,987,891,557,494,875,917,156,332,759,784,426,116,166,198,465,
620,067,143,114,173,851,063,875,964,176,072,900,509,983,096,975,002,676,774,
653,939,572,742,502,868,433,758,896,591,221,776,202,636,452,017,903,041,812,
928,880,326,414,498,392,985,268,023,284,150,277,538,314,692,307,225,989,681,
948,281,070,349,732,131,640,036,908,135,664,139,818,193,924,022,380,565,053,
073,991,177,703,606,348,677,982,261,175,793,374,639,630,606,816,101,092,837,
773,526,632,419,199,680,578,332,576,164,254,432,703,986,439,843,548,977,730,
813,179,357,966,021,347,200,427,847,035,407,056,844,788,088,372,061,971,656,
132,862,338,468,637,252,698,748,513,585,698,209,122,233,556,172,212,100,686,
885,945,103,151,256,206,536,182,450,643,543,388,465,295,282,116,536,944,687,
060,165,149,073,958,659,407,765,646,461,434,463,598,215,830,336,593,442,810,
328,863,903,841,081,632,772,119,174,326,514,669,444,757,251,734,216,304,296,
058,038,390,168,671,189,729,697,134,436,711,948,212,491,981,236,703,735,175,
340,704,335,249,647,573,501,339,673,336,544,780,745,423,745,212,289,386,228,
314,555,938,009,306,297,328,496,968,106,822,308,660,923,587,735,150,889,512,
201,443,484,080,632,807,099,666,593,392,599,232,618,053,703,264,238,902,303,
561,077,106,729,214,130,123,304,222,790,630,004,619,911,531,491,570,044,370,
526,093,734,315,382,628,464,007,557,840,864,433,843,113,382,210,554,363,926,
796,488,743,954,216,358,180,439,203,235,635,546,412,525,805,305,674,832,424,
036,458,999,084,084,926,019,847,294,202,533,026,375,643,780,517,155,377,409,
052,636,890,962,232,961,812,231,118,497,529,856,376,769,347,528,299,995,686,
170,853,718,810,044,552,731,470,957,453,817,857,495,677,592,723,114,209,854,
997,701,255,036,316,971,260,182,133,634,153,564,769,994,438,360,440,219,487,
799,528,639,569,053,107,810,532,543,386,526,736,369,324,892,559,338,893,623,
500,171,170,245,774,620,913,445,791,113,987,476,926,241,865,899,205,682,037,
098,726,484,659,092,591,001,789,136,310,942,990,762,924,202,362,812,416,097,
306,959,181,216,275,139,585,100,210,000,277,811,827,466,679,243,366,617,516,
443,072,906,675,239,751,866,817,269,793,731,305,861,198,014,847,549,039,157,
782,538,554,028,944,574,939,469,883,481,085,567,187,838,559,708,977,155,328,
833,466,001,365,191,303,580,158,904,128,482,678,498,165,942,612,391,050,653,
084,772,095,137,991,096,924,879,520,784,039,909,006,145,467,412,659,646,587,
842,076,093,479,753,394,767,516,703,503,467,885,116,919,183,379,424,592,367,
971,946,011,199,543,068,650,053,768,964,899,105,147,421,382,334,041,907,262,
716,258,562,510,498,985,986,764,672,817,347,464,124,042,114,311,909,010,107,
233,167,857,239,502,451,932,191,345,832,122,333,789,341,648,409,837,809,638,
060,537,540,756,921,452,343,394,989,215,808,274,570,370,781,097,713,394,207,
600,601,254,310,313,727,370,410,270,976,432,179,965,575,373,146,156,981,860,
534,673,745,325,996,771,057,624,240,194,232,533,906,336,171,864,205,858,803,
145,831,972,478,458,323,434,732,874,931,294,752,414,118,529,179,815,927,279,
046,335,709,133,259,875,403,739,295,583,008,140,829,141,857,868,164,384,744,
183,299,125,979,381,025,381,159,449,358,090,681,351,850,713,252,836,423,517,
406,741,742,457,369,547,551,963,744,466,687,642,302,479,228,131,789,538,712,
303,333,349,445,912,052,141,885,667,885,440,425,421,343,221,792,176,007,845,
619,424,268,365,590,326,581,585,435,207,903,932,950,345,590,537,728,630,793,
458,293,602,049,440,941,209,029,056,512,190,439,126,639,704,860,887,922,180,
894,427,496,705,470,850,088,098,154,456,076,457,731,434,473,034,777,628,776,
036,210,885,510,394,110,724,829,315,494,642,435,725,029,812,394,740,964,310,
198,472,136,305,470,387,825,005,557,190,078,158,551,231,488,100,448,307,237,
902,252,154,090,820,003,759,882,522,183,021,777,060,436,701,725,174,423,619,
719,714,283,127,215,563,178,489,443,713,008,232,232,634,683,938,350,194,775,
433,244,623,813,956,013,103,007,613,703,808,294,994,687,497,902,066,586,269,
375,018,643,238,923,065,017,641,437,895,198,657,536,626,933,331,673,955,992,
084,499,894,640,727,720,304,073,377,401,348,213,047,725,357,372,462,410,998,
221,445,350,450,768,283,074,224,207,372,577,191,105,084,388,653,147,263,858,
741,542,861,910,773,958,985,159,472,128,014,327,351,271,183,688,139,574,941,
703,364,090,315,968,328,522,777,087,162,109,246,365,337,318,530,213,314,825,
571,209,484,293,197,683,268,216,266,986,803,382,941,754,560,883,074,927,787,
135,739,864,338,670,087,761,510,869,676,503,971,297,890,122,741,163,225,413,
044,651,730,868,751,665,542,939,647,985,828,303,145,968,933,584,436,890,902,
567,961,343,934,253,139,789,657,298,904,717,841,692,074,179,106,138,120,071,
503,362,094,483,996,161,886,394,581,288,055,950,152,946,801,381,318,149,722,
412,137,629,348,833,708,302,894,773,275,176,108,569,154,171,031,491,505,249,
450,281,703,763,823,336,094,084,113,291,717,960,859,889,229,618,786,070,781,
292,798,790,447,791,436,237,143,901,270,558,316,587,115,228,430,948,965,235,
198,215,425,360,144,792,779,350,134,317,232,184,951,907,748,506,285,209,948,
723,451,155,289,326,102,054,206,134,433,411,619,663,930,499,246,714,100,707,
326,498,439,386,222,960,783,113,178,056,627,021,569,512,049,718,010,703,352,
578,956,817,953,954,330,057,444,075,684,152,187,498,849,941,018,879,507,939,
555,063,169,480,576,898,583,146,808,445,725,625,700,611,912,556,104,083,357,
184,023,086,617,677,068,285,026,153,199,664,323,942,552,038,186,555,038,798,
457,235,829,078,328,312,623,047,177,787,391,940,137,698,418,709,095,099,363,
668,330,963,468,886,684,913,516,125,147,855,456,580,299,205,436,320,438,040,
013,055,973,472,863,969,431,873,164,899,086,295,056,115,082,850,262,675,528,
777,775,729,636,709,082,989,041,962,458,241,847,072,190,481,904,772,960,901,
188,805,345,754,491,160,189,052,627,735,381,466,611,163,326,058,011,725,678,
281,512,984,872,933,529,984,001,079,506,855,708,069,023,633,662,484,958,962,
727,486,877,658,110,741,108,680,571,141,407,238,855,376,038,985,346,507,596,
716,646,892,969,844,279,484,719,767,066,244,448,425,506,110,938,959,609,561,
780,862,504,493,761,162,701,245,786,059,084,311,954,920,514,028,667,050,258,
093,298,438,765,114,679,424,117,652,587,145,190,900,975,394,274,811,915,810,
059,889,494,681,598,765,568,165,691,840,984,627,830,631,946,174,528,528,202,
529,327,653,490,879,709,616,869,773,238,124,278,605,280,903,272,580,616,885,
268,609,883,876,327,598,158,858,328,775,746,207,899,833,137,312,483,367,531,
217,130,879,339,702,103,142,088,154,501,426,635,846,070,076,766,483,045,828,
853,144,604,474,176,522,966,508,589,719,205,390,414,758,348,833,432,478,232,
680,243,638,622,296,237,384,391,928,685,892,114,479,131,977,451,580,596,308,
804,131,427,217,791,038,739,660,374,049,177,573,604,046,782,411,309,367,777,
310,989,107,942,696,560,979,524,203,183,384,676,919,489,432,438,134,991,508,
537,092,731,631,579,473,245,604,003,911,153,868,816,600,587,298,242,431,657,
515,854,808,131,809,980,681,949,270,058,421,436,082,048,425,739,478,587,991,
462,321,593,293,691,080,963,046,846,122,690,876,543,115,189,559,332,890,940,
529,599,713,249,878,025,353,932,141,173,764,001,311,587,173,526,394,366,031,
201,908,106,381,212,581,710,769,753,969,847,782,764,974,056,795,629,937,071,
330,329,603,977,357,926,369,836,202,535,906,412,772,274,425,721,144,197,547,
293,372,564,091,786,411,516,698,674,682,915,990,699,894,473,200,212,938,052,
282,104,095,545,549,596,574,537,132,453,952,646,320,808,799,044,326,066,891,
269,810,707,923,547,394,114,331,857,094,048,286,311,292,532,539,029,048,097,
546,663,389,501,447,619,946,986,106,268,565,705,421,751,313,659,198,392,662,
137,141,489,455,925,300,880,533,220,360,279,054,659,620,066,986,792,743,985,
774,849,106,422,594,001,382,658,492,543,365,733,685,333,925,695,740,664,387,
686,779,967,882,924,373,000,360,678,269,181,421,021,414,070,116,615,167,321,
043,688,552,412,805,485,233,062,695,630,009,305,223,090,160,974,207,034,912,
857,233,151,154,134,919,659,030,204,716,323,608,560,261,696,793,755,375,541,
126,458,411,206,770,786,164,479,956,075,369,654,905,544,759,326,058,776,756,
381,335,496,930,435,087,816,243,166,407,470,301,337,320,900,351,114,419,229,
313,551,366,309,333,479,963,609,248,316,637,270,388,227,641,917,583,440,878,
673,930,410,584,258,251,531,292,279,039,617,236,263,893,760,642,146,036,445,
647,205,658,412,309,751,537,044,212,387,976,126,033,868,797,856,941,998,998,
708,645,998,507,499,969,155,478,716,159,461,385,284,732,068,797,252,360,362,
765,146,237,841,739,104,129,531,664,590,318,416,308,983,832,073,723,932,691,
871,877,539,246,533,948,573,421,131,807,688,967,207,670,816,870,474,823,899,
754,365,943,192,637,305,725,655,616,592,289,826,449,904,605,735,402,422,115,
146,403,588,344,080,799,092,182,539,784,388,806,473,572,666,490,534,433,738,
684,014,656,266,191,709,913,276,343,685,536,562,888,592,981,742,975,511,050,
030,411,351,574,731,639,442,902,878,171,258,894,662,417,336,461,240,695,135,
288,293,889,858,592,431,830,522,080,986,423,403,146,637,640,041,215,850,944,
256,340,981,086,021,667,152,696,878,996,267,914,154,509,368,244,819,671,772,
027,700,082,869,155,304,369,271,516,507,425,396,818,133,104,378,532,224,322,
457,028,022,652,906,995,260,785,269,009,744,019,413,958,591,936,167,389,982,
635,917,650,611,489,713,623,225,957,983,448,934,960,063,143,874,175,971,650,
336,505,061,324,413,500,536,462,143,904,434,029,784,842,373,563,584,066,827,
473,146,165,700,884,711,736,614,690,520,243,683,115,264,309,024,042,264,381,
999,601,852,863,195,601,329,649,551,044,879,786,521,134,685,606,577,926,175,
735,696,386,191,641,274,151,661,496,033,596,729,474,829,855,323,047,058,080,
843,922,291,491,919,085,984,695,655,607,376,428,947,182,196,827,482,102,672,
584,376,637,366,562,079,762,848,480,459,608,575,837,620,176,643,281,645,804,
942,623,151,422,837,173,977,925,042,267,762,192,677,579,727,792,789,689,922,
270,134,549,683,589,803,008,381,044,353,230,308,548,297,091,624,793,738,832,
921,722,861,579,229,141,964,753,418,617,318,416,402,972,971,048,751,218,077,
476,271,270,102,417,382,435,951,344,000,888,389,489,140,302,431,739,482,916,
058,718,628,960,206,986,853,194,013,961,698,671,399,184,427,148,609,534,686,
607,314,636,166,819,269,920,675,833,028,855,066,698,735,298,579,499,052,483,
543,070,639,889,559,534,098,766,197,305,158,798,305,038,613,109,197,388,915,
025,471,560,176,875,982,107,251,969,152,535,179,305,875,741,590,619,827,368,
150,077,333,072,196,988,165,366,619,718,620,003,511,989,994,540,758,551,031,
442,481,784,028,685,502,490,458,860,102,828,869,417,346,178,661,432,061,889,
632,129,345,673,000,825,900,815,013,041,652,672,761,677,765,766,871,283,710,
463,252,806,664,730,731,644,645,905,021,690,543,115,616,297,497,482,231,715,
127,639,422,489,636,042,704,611,231,567,196,787,306,078,357,839,686,327,902,
825,303,729,386,253,543,418,241,951,506,116,865,549,221,873,178,125,070,645,
729,131,524,841,827,512,764,716,106,462,644,621,653,158,055,962,609,668,219,
044,754,322,228,338,684,398,875,932,464,584,937,496,437,574,599,281,655,396,
529,780,797,804,118,850,518,372,521,526,422,999,064,168,703,955,318,544,425,
087,413,592,144,791,358,195,005,945,782,387,807,247,424,449,221,572,631,721,
077,355,329,883,240,955,517,492,576,789,815,976,656,060,128,917,832,968,104,
502,089,376,144,611,514,806,692,151,973,534,578,637,149,524,837,580,141,322,
518,711,890,477,221,977,023,555,193,520,666,828,976,141,721,683,822,995,935,
509,305,972,134,178,168,618,940,997,166,146,023,315,378,495,982,847,824,802,
137,812,874,735,608,492,984,966,211,820,144,284,747,384,709,246,483,400,057,
052,408,328,320,437,245,256,117,132,222,625,490,522,824,554,362,697,668,990,
566,956,278,324,404,749,124,184,954,839,055,125,574,304,583,709,923,102,608,
128,380,358,389,691,578,947,685,949,942,726,506,725,479,210,495,720,287,863,
898,472,796,374,466,745,519,956,481,053,698,513,512,500,731,323,621,208,964,
999,875,351,202,001,512,502,589,638,822,513,658,756,112,422,384,257,135,966,
540,909,296,420,020,634,805,695,160,964,030,949,337,012,215,630,871,977,107,
187,371,023,151,876,263,879,784,275,376,658,139,316,768,929,343,916,113,387,
645,020,939,574,846,420,905,471,991,970,939,812,184,176,732,714,262,636,319,
309,382,681,857,556,296,792,707,758,029,864,166,659,920,778,563,607,801,923,
978,712,758,221,324,920,760,607,636,549,208,018,325,784,038,275,103,204,363,
504,627,071,511,572,785,041,765,460,509,078,453,095,618,343,952,599,929,243,
289,385,879,477,775,969,563,726,392,776,020,325,908,625,881,840,841,989,272,
481,072,433,391,356,854,996,496,945,319,153,406,683,545,161,983,866,824,246,
537,109,670,758,005,777,225,629,321,023,182,350,080,771,075,558,261,242,608,
249,918,407,094,211,501,303,509,711,641,163,004,540,768,393,151,964,389,573,
677,518,325,391,644,460,424,364,852,249,186,221,547,155,095,889,301,972,249,
097,019,804,687,315,216,565,794,721,618,420,823,115,588,751,085,265,269,985,
394,556,384,156,104,513,555,183,255,366,996,874,433,540,506,325,541,176,854,
936,360,043,990,344,817,065,213,933,051,087,987,840,018,302,383,913,293,055,
145,586,277,030,287,561,322,200,676,079,652,298,377,376,651,512,150,803,291,
545,143,038,772,751,907,562,449,641,524,931,800,094,139,354,565,790,410,997,
733,889,414,275,897,379,997,618,903,695,681,453,821,257,420,667,945,652,551,
155,834,434,366,248,845,187,792,014,749,990,519,920,115,874,883,950,773,395,
752,270,095,676,385,978,753,951,036,503,823,747,237,113,883,461,982,332,316,
497,547,913,453,271,902,488,852,608,373,775,235,910,185,117,570,811,306,141,
957,678,874,550,022,164,935,830,502,972,941,475,978,836,362,646,703,850,591,
619,074,394,574,921,882,649,841,856,765,022,066,126,171,302,697,333,166,762,
653,084,111,815,067,126,589,795,412,950,668,163,268,854,023,540,054,584,802,
751,721,429,321,260,025,419,000,516,675,460,763,844,918,551,715,698,876,531,
600,810,415,160,666,528,602,344,669,223,411,589,827,678,212,094,791,931,706,
700,174,340,916,104,579,289,897,676,438,881,714,544,133,636,563,048,078,509,
282,182,348,203,517,214,079,934,861,838,574,337,511,858,514,903,190,750,140,
421,753,530,412,397,134,285,570,341,553,827,236,362,290,854,841,497,725,530,
425,290,360,303,799,374,967,173,993,524,886,643,244,206,588,954,119,763,299,
176,029,099,621,103,820,935,046,210,099,211,548,432,228,551,334,495,282,489,
101,767,696,510,198,669,939,197,653,273,387,820,839,305,602,971,422,193,132,
066,685,581,573,294,164,183,891,190,644,346,907,872,858,552,312,077,297,338,
452,712,478,606,929,711,397,057,693,283,101,088,084,708,420,454,939,300,175,
595,076,104,004,080,084,034,444,305,101,693,337,888,686,222,466,492,035,951,
505,040,711,633,222,227,838,438,735,972,428,710,253,325,378,040,434,965,936,
932,836,896,652,665,748,183,345,893,068,337,098,245,977,714,564,779,241,996,
799,847,436,097,027,783,163,314,156,769,545,452,937,519,202,386,419,182,242,
631,295,010,524,417,083,831,691,290,704,289,752,796,249,218,541,429,135,078,
868,492,880,154,832,951,390,308,516,773,069,665,345,446,935,134,595,459,758,
266,579,600,246,974,922,430,171,681,186,299,513,213,716,871,902,204,706,022,
888,781,141,330,753,600,023,655,768,130,207,392,974,489,500,313,131,566,546,
041,638,997,097,236,758,035,516,538,437,077,471,880,313,877,365,147,908,543,
216,248,342,551,908,255,643,699,063,212,136,731,267,507,760,629,778,990,049,
364,592,703,488,501,140,342,391,659,486,568,297,236,806,914,790,704,833,868,
380,875,159,017,178,766,642,069,531,797,446,238,745,593,018,351,093,836,712,
371,448,381,739,293,026,036,105,599,096,194,610,444,708,456,980,232,138,035,
737,568,725,785,494,221,699,384,928,656,915,685,969,553,249,496,897,585,119,
658,658,445,999,875,947,425,513,087,753,404,835,779,256,310,069,030,471,675,
406,614,168,962,943,473,537,708,008,768,589,316,088,780,467,005,891,181,458,
041,968,110,496,444,734,626,724,854,477,034,834,837,865,474,641,794,338,292,
145,137,354,241,914,464,983,419,855,315,838,755,396,315,113,314,344,748,161,
586,529,174,454,018,954,749,413,686,251,406,438,489,589,468,747,758,685,614,
135,763,203,414,039,751,849,254,280,534,753,276,599,751,814,190,736,136,434,
099,857,527,764,996,826,917,371,543,596,265,190,969,544,938,316,864,264,229,
315,994,652,559,451,600,655,028,818,235,333,726,425,772,868,058,682,977,723,
097,320,399,394,112,349,317,052,449,741,474,689,037,651,675,199,209,288,055,
019,440,118,974,790,693,223,839,058,191,141,443,675,475,820,622,497,234,167,
260,129,350,480,700,323,214,270,824,666,351,649,211,157,007,266,904,834,579,
021,805,143,218,736,377,802,519,109,981,482,696,037,163,621,261,758,595,988,
025,931,034,415,258,028,835,335,577,804,788,780,189,180,579,227,495,740,919,
724,103,537,736,921,699,682,211,710,245,681,614,114,300,953,114,511,019,409,
512,896,537,532,267,299,037,789,429,752,205,810,509,135,617,931,907,383,755,
583,424,257,323,391,480,346,854,502,030,303,293,065,579,417,456,306,590,919,
424,060,612,441,464,321,873,817,367,163,324,296,268,758,964,678,896,736,712,
577,842,354,088,751,703,271,073,177,041,272,745,003,766,257,917,893,699,770,
737,069,716,825,765,135,827,848,223,588,106,616,570,948,453,276,992,921,545,
816,280,245,518,242,001,366,561,482,320,224,797,137,257,155,722,189,891,561,
305,395,515,585,666,962,237,013,877,049,458,234,977,263,177,836,325,972,800,
825,283,400,782,158,980,253,540,298,387,209,229,690,688,534,923,228,003,371,
368,534,426,488,462,858,036,841,047,491,710,538,188,135,712,211,415,252,625,
168,407,068,603,089,244,551,150,876,256,157,549,259,375,741,343,668,910,842,
717,671,118,887,361,131,725,311,404,314,701,521,330,403,035,877,220,354,237,
889,535,164,013,932,149,251,772,490,612,936,992,690,382,279,272,803,752,248,
112,157,851,605,619,551,913,913,012,933,742,226,594,739,899,168,605,754,619,
089,330,426,257,024,617,716,518,796,481,810,448,194,532,923,180,582,577,255,
154,653,866,785,334,489,252,263,839,451,020,895,432,516,418,635,186,203,855,
445,654,807,429,159,166,014,170,658,167,452,053,378,388,942,823,463,295,797,
394,909,363,549,816,110,917,258,128,685,534,347,671,205,494,947,088,403,899,
434,561,769,496,803,473,598,089,101,035,802,868,472,530,210,079,380,919,874,
105,240,592,220,922,551,912,032,626,417,934,688,171,675,777,239,361,887,039,
179,516,270,159,281,599,469,279,916,489,563,307,621,112,996,819,861,771,084,
225,736,723,811,162,080,328,447,819,271,406,778,294,678,839,382,610,356,136,
073,593,041,611,042,333,349,830,702,369,976,198,439,480,945,645,696,272,249,
945,483,684,333,893,824,223,864,944,309,126,103,830,689,404,179,620,552,984,
219,329,324,842,390,145,171,757,810,678,289,313,210,325,061,336,151,910,368,
386,758,485,253,655,710,192,813,289,824,953,564,703,843,681,073,289,121,402,
976,191,457,400,228,019,869,452,155,036,772,518,935,049,288,679,768,109,928,
397,051,094,940,409,663,421,209,657,295,673,795,035,398,597,489,603,633,405,
762,989,722,458,907,649,696,458,948,571,926,730,355,432,509,274,689,991,533,
261,212,510,467,299,467,370,545,101,173,485,240,460,297,516,760,507,832,233,
043,790,940,552,214,509,559,503,315,775,368,908,877,672,505,096,752,143,827,
629,264,564,334,033,489,775,181,263,046,958,656,182,416,040,629,530,662,029,
780,878,203,701,499,310,580,126,432,367,667,257,619,493,390,341,179,887,085,
468,334,966,249,938,771,425,777,216,136,275,531,474,106,910,313,071,125,881,
244,614,027,718,704,349,466,621,448,321,264,562,225,460,274,050,793,146,431,
335,593,681,416,502,761,846,976,821,217,311,002,585,227,701,902,360,093,656,
555,147,430,066,151,461,453,856,771,370,485,114,947,300,681,810,783,534,196,
675,974,955,459,087,422,659,770,782,316,578,044,505,016,311,182,267,325,469,
026,934,902,076,006,366,754,377,748,859,194,177,099,749,952,083,061,668,268,
529,629,544,373,156,159,254,532,972,681,954,220,837,130,698,104,778,552,103,
225,781,547,380,571,735,524,697,099,661,042,265,557,705,945,777,664,677,247,
810,834,009,807,036,204,561,088,340,189,601,511,857,026,337,597,853,386,535,
973,804,652,192,741,952,228,727,439,050,747,910,586,120,755,152,001,421,342,
430,281,079,421,456,771,737,884,367,205,343,346,531,410,434,246,334,393,883,
553,652,074,694,518,000,921,603,985,639,405,587,373,016,348,293,218,169,980,
421,915,757,250,138,349,722,489,578,448,253,365,965,870,648,558,063,732,639,
730,434,138,321,689,789,901,600,221,774,637,806,574,450,019,925,100,685,981,
558,040,450,888,929,721,855,367,988,322,574,375,981,236,381,763,814,720,354,
197,851,279,206,673,330,659,739,789,724,321,162,579,969,198,374,648,778,832,
601,621,221,283,628,941,329,582,574,152,084,139,951,490,362,867,488,021,346,
896,858,808,770,208,329,327,998,643,661,191,368,022,554,333,149,008,814,323,
715,747,634,438,909,998,369,877,490,143,613,531,338,458,925,051,419,565,603,
103,954,038,575,639,598,364,503,909,727,924,665,132,445,441,446,651,347,201,
994,141,904,138,100,893,322,080,476,148,494,149,505,336,911,852,517,901,113,
458,690,564,879,142,929,617,988,142,049,330,305,337,559,659,406,011,941,191,
773,489,133,984,448,253,347,743,550,376,969,921,871,558,167,682,506,447,982,
193,569,587,786,617,046,356,553,905,421,308,020,407,218,346,122,888,377,467,
947,691,016,070,401,520,661,358,152,643,550,105,107,715,259,637,130,904,772,
731,126,210,390,312,669,944,253,180,973,505,260,331,278,466,017,479,130,634,
626,438,414,232,135,010,820,444,813,180,424,486,722,615,074,184,940,307,607,
369,568,635,412,506,559,288,392,337,258,519,914,655,582,267,440,302,938,667,
311,163,334,587,640,623,054,912,958,078,931,050,418,963,413,444,939,190,091,
545,656,166,562,441,237,442,005,308,307,244,012,976,355,356,906,526,660,734,
933,152,573,891,521,396,261,633,070,996,133,366,233,335,404,799,689,394,313,
283,766,894,124,663,048,499,071,726,469,799,697,521,135,211,578,549,038,020,
038,941,233,278,283,219,415,065,803,212,069,453,833,220,376,725,994,709,389,
350,189,499,506,622,393,764,499,925,989,649,907,850,900,474,071,220,201,064,
362,459,771,948,436,404,940,142,274,586,291,745,399,476,946,203,405,762,559,
843,810,869,102,795,478,109,646,300,941,509,785,942,492,651,223,379,634,749,
437,203,556,172,144,491,840,252,291,496,842,955,850,769,812,305,557,226,319,
675,695,574,978,284,926,808,812,404,035,446,541,988,577,533,607,622,473,546,
783,419,196,915,004,884,742,099,710,230,939,217,205,028,337,037,704,718,278,
174,442,307,296,974,328,207,453,497,102,064,173,098,020,128,914,290,929,104,
388,465,039,457,867,080,841,146,322,883,556,688,952,656,660,259,367,069,605,
264,074,843,234,471,877,677,087,368,461,185,457,869,840,610,037,501,677,864,
583,982,181,972,596,842,978,503,650,962,150,736,698,435,708,853,640,223,579,
107,491,231,641,240,099,486,020,017,104,214,114,791,962,919,061,501,753,451,
413,535,317,173,129,621,497,043,647,077,549,202,945,899,027,554,806,423,481,
290,404,530,307,191,114,820,436,132,336,765,415,757,788,992,391,390,914,298,
520,180,656,846,709,554,954,244,526,509,019,888,541,918,170,290,988,717,989,
436,114,423,110,772,645,417,159,933,074,706,627,238,027,040,425,068,473,012,
239,004,971,929,989,199,683,633,192,663,617,548,872,921,930,034,993,865,379,
311,711,889,045,737,568,596,460,396,013,680,660,077,753,631,012,232,248,035,
911,297,162,464,890,248,736,125,254,739,087,700,656,209,612,678,646,724,123,
096,141,111,041,717,360,451,664,415,911,059,739,716,429,572,230,443,854,344,
601,211,036,756,487,252,179,615,522,878,078,872,413,516,193,080,102,097,070,
917,227,293,223,163,687,689,129,952,817,833,912,998,971,425,934,166,083,500,
921,464,294,593,760,550,664,453,809,650,278,597,026,090,443,035,889,200,706,
966,821,903,734,570,445,454,298,802,929,597,630,815,551,072,217,800,484,800,
263,771,488,610,270,273,355,304,012,641,047,110,261,143,946,639,275,323,197,
384,031,054,713,746,576,041,196,152,777,475,391,608,867,684,653,270,410,176,
099,523,401,834,444,986,420,751,734,570,835,083,825,597,600,691,782,038,898,
795,675,798,688,517,604,316,896,494,505,517,162,170,218,910,271,963,106,063,
732,433,730,735,064,978,759,488,394,559,067,797,931,861,982,046,684,643,283,
697,647,906,864,790,802,378,592,637,990,678,165,943,551,061,758,535,902,440,
274,838,076,734,668,902,780,564,757,878,126,099,149,671,087,495,149,292,488,
076,626,973,780,101,800,096,817,775,432,706,894,589,605,955,064,736,377,924,
548,592,754,809,088,984,997,629,287,499,164,162,658,308,559,427,507,303,454,
391,457,331,623,515,532,741,845,968,746,857,291,130,400,453,925,099,430,355,
302,925,390,351,586,394,116,175,420,565,807,493,790,866,025,967,190,925,608,
826,555,952,879,248,217,433,271,140,803,693,116,637,317,410,871,011,969,118,
468,306,479,940,254,169,964,334,941,783,010,594,628,043,103,071,990,214,179,
135,214,861,721,012,075,409,480,807,150,041,572,700,752,869,774,273,137,262,
880,136,993,177,284,690,615,768,028,814,442,322,006,196,589,091,596,627,708,
169,800,412,648,167,769,533,289,891,930,373,616,388,422,169,544,849,552,768,
567,521,432,342,721,036,036,823,034,773,906,170,263,740,526,884,571,620,963,
245,999,466,587,451,584,362,840,684,585,771,609,623,000,881,671,499,481,949,
913,333,188,333,213,729,349,361,316,153,765,776,985,271,184,535,360,349,641,
705,795,755,773,849,615,828,950,231,603,219,719,638,707,367,885,179,048,059,
761,876,804,383,731,592,139,966,317,992,007,738,738,442,566,201,605,768,365,
839,268,347,599,736,855,908,823,022,580,340,661,905,220,190,439,951,728,805,
921,916,740,777,605,407,527,839,813,874,375,699,184,959,718,487,304,950,991,
920,852,370,216,242,444,640,865,189,785,182,765,367,008,505,156,976,515,624,
302,596,146,942,500,844,896,796,089,069,012,740,765,991,525,439,947,687,968,
364,327,403,188,123,598,397,065,274,381,405,041,127,974,002,250,999,978,451,
783,363,096,283,677,065,698,938,832,752,572,508,587,411,718,166,741,872,632,
559,254,971,246,167,516,328,643,886,384,253,477,771,303,498,023,597,350,778,
271,676,825,383,683,198,387,642,137,856,013,970,999,758,086,090,730,175,079,
709,031,164,156,206,745,796,272,383,080,514,301,266,241,365,566,319,531,798,
830,342,766,044,026,678,460,235,288,437,294,316,082,120,710,606,097,852,117,
110,181,492,616,408,595,566,031,134,656,684,392,232,068,085,977,247,615,708,
999,078,798,378,336,614,420,063,076,364,733,363,296,000,986,930,931,059,654,
995,129,794,128,481,810,879,260,454,177,736,380,442,973,361,434,356,309,405,
555,134,987,329,854,722,800,600,973,296,739,728,073,017,445,900,150,125,193,
379,313,134,041,940,952,395,250,192,728,636,117,989,944,826,739,050,228,935,
085,237,632,048,935,523,314,044,972,252,118,354,038,958,043,641,449,429,553,
490,923,518,814,881,302,970,443,451,963,540,972,059,122,346,509,176,123,418,
669,097,192,134,233,248,178,312,535,927,906,296,920,906,804,425,102,175,271,
922,169,573,569,632,210,384,191,047,108,201,075,879,664,378,019,379,382,094,
712,425,812,078,219,415,485,923,158,415,090,024,028,841,568,192,594,499,025,
339,842,046,345,585,651,587,043,828,661,381,350,339,731,215,986,715,482,162,
195,821,881,576,292,027,033,365,105,142,561,165,532,228,947,825,469,791,250,
726,074,826,177,719,506,230,914,125,294,284,317,932,383,343,556,763,380,010,
471,903,405,255,455,206,874,525,567,215,131,196,951,737,263,141,953,744,410,
652,182,115,708,312,538,056,626,621,260,081,502,451,678,876,885,620,576,546,
311,077,104,280,494,432,969,551,290,598,201,217,667,244,441,028,759,829,095,
887,417,839,246,916,569,275,021,311,382,161,607,071,669,549,955,182,643,209,
709,943,930,367,675,545,847,746,729,258,385,892,082,680,232,933,420,034,763,
654,058,237,892,359,925,699,248,081,278,340,385,424,515,010,873,310,890,468,
347,709,161,725,481,613,575,494,381,967,629,562,121,175,343,752,040,133,316,
349,696,596,718,112,601,515,252,118,595,480,416,126,919,376,715,596,161,367,
781,182,933,419,945,618,858,735,321,891,807,975,493,378,235,338,365,657,821,
890,420,275,765,977,956,450,856,005,465,904,501,725,324,741,951,180,405,152,
335,656,579,530,357,324,482,952,719,774,437,176,881,266,480,589,533,088,083,
791,673,453,322,958,715,708,924,109,119,001,369,507,779,407,059,756,319,149,
379,514,795,588,757,681,693,332,535,400,876,441,708,720,569,004,887,540,073,
658,583,248,185,909,487,575,096,172,148,914,759,467,858,411,533,257,526,928,
151,713,905,184,797,026,674,223,509,287,068,130,271,412,661,468,444,297,762,
213,716,543,112,832,184,906,706,423,396,792,272,894,026,692,442,695,358,514,
803,718,121,270,205,762,422,808,509,884,097,039,298,053,204,291,483,457,664,
286,789,316,338,184,217,777,217,366,594,556,699,515,061,574,187,907,396,965,
638,827,174,357,334,517,104,857,928,814,289,425,365,459,832,533,635,590,136,
503,293,603,942,981,091,832,057,979,364,644,556,052,667,183,135,217,789,874,
987,921,788,404,721,841,420,586,246,297,344,369,649,645,820,159,026,948,145,
631,882,288,031,551,520,218,871,984,408,392,290,915,025,629,046,499,573,898,
771,243,245,554,742,995,600,949,651,573,510,545,353,210,506,342,462,986,415,
967,194,192,104,858,702,018,956,763,243,715,243,322,382,033,920,701,543,689,
397,306,559,750,935,533,220,133,082,755,478,968,667,537,883,388,779,340,189,
447,918,031,558,337,554,348,252,075,276,089,765,650,212,275,855,310,340,148,
672,343,363,527,640,205,816,461,776,643,413,315,101,258,106,574,055,248,383,
199,695,388,357,218,946,137,282,014,484,670,107,187,115,447,842,698,695,615,
244,558,394,375,502,539,614,263,026,576,196,928,403,465,985,951,089,531,374,
279,710,133,757,322,979,470,070,514,192,109,370,415,415,595,177,272,196,862,
985,019,176,734,812,043,426,521,251,738,181,945,154,101,833,150,676,863,224,
688,755,404,198,935,067,172,122,483,202,293,454,504,542,436,833,322,344,414,
985,222,197,013,882,122,711,444,390,534,450,587,587,900,529,752,977,535,959,
440,023,236,115,942,853,416,630,426,893,537,819,556,663,151,969,167,971,027,
069,135,562,412,826,547,495,848,717,377,066,349,626,389,138,538,492,569,350,
743,882,326,131,023,576,179,774,669,605,582,553,835,887,029,640,702,404,683,
402,453,933,289,018,241,831,324,345,482,244,156,136,135,251,451,029,658,857,
982,911,079,016,023,704,150,887,990,096,676,613,152,619,806,308,764,241,932,
726,974,283,343,188,698,920,844,430,721,150,314,623,038,685,941,236,946,705,
654,840,452,645,092,544,941,837,928,362,438,199,766,395,748,529,847,421,263,
730,157,533,392,351,561,639,820,931,007,225,265,682,072,122,336,382,044,516,
228,795,038,110,787,921,143,973,214,678,232,991,446,526,900,389,922,621,047,
645,424,312,516,212,798,051,061,374,671,375,317,863,502,316,692,834,785,697,
780,875,783,236,151,675,151,050,307,101,392,640,484,769,158,401,854,070,727,
985,588,759,846,637,841,578,509,062,839,461,983,940,090,933,000,488,191,216,
008,306,018,418,644,331,293,077,859,564,417,272,496,147,435,967,850,273,764,
189,916,093,699,422,704,571,340,827,440,480,530,311,197,464,707,829,097,761,
242,343,999,331,280,525,587,627,321,518,145,930,982,081,062,064,859,385,589,
076,544,650,719,407,799,876,648,777,515,076,088,458,699,512,022,165,832,228,
287,805,686,260,793,840,064,093,042,092,821,947,913,906,027,351,390,504,570,
701,931,575,936,058,578,396,243,818,018,307,120,053,124,017,246,122,799,639,
497,190,336,701,556,589,652,993,950,330,999,443,805,963,674,678,352,354,258,
393,789,937,295,540,811,253,629,291,274,487,691,995,373,934,260,668,637,931,
313,259,014,972,818,895,422,619,062,384,940,564,031,064,059,467,880,228,875,
659,781,327,774,014,494,057,969,155,523,829,273,329,851,138,329,537,351,048,
484,798,683,566,963,687,025,857,979,139,697,074,698,668,804,841,240,938,311,
251,582,420,677,561,341,459,550,181,136,196,216,787,520,805,666,951,406,557,
178,017,491,013,768,111,575,406,339,701,163,949,656,097,588,254,710,214,408,
844,836,082,679,417,192,481,681,679,888,003,799,213,408,560,784,330,630,515,
260,149,393,180,461,378,415,491,516,603,817,831,921,381,496,054,389,356,928,
161,821,666,816,621,619,675,597,450,782,434,296,941,530,865,614,004,359,575,
941,150,776,532,831,432,984,306,147,124,249,106,830,430,915,249,839,466,490,
550,157,939,148,136,451,563,030,661,627,908,988,595,073,892,510,923,355,403,
362,946,418,665,854,430,644,028,507,218,670,052,794,731,710,098,662,819,866,
605,683,664,895,752,271,848,810,904,485,644,097,587,989,632,502,354,627,033,
688,824,386,974,493,630,909,237,963,956,449,149,824,474,025,670,366,988,618,
847,263,584,851,187,664,006,726,356,358,091,711,536,858,608,446,809,567,038,
087,176,416,884,342,781,220,398,586,378,498,574,966,711,302,323,070,960,755,
773,889,953,880,552,412,691,004,961,272,576,747,339,765,018,087,197,035,769,
612,488,361,747,660,120,053,257,754,883,346,674,522,218,320,196,813,982,308,
579,825,556,956,712,553,840,943,258,948,967,304,627,741,730,795,399,927,555,
914,107,425,657,933,924,790,258,054,580,900,299,382,187,500,513,175,589,410,
456,539,364,119,815,657,233,747,333,098,786,557,879,570,362,610,738,064,497,
424,985,159,656,696,644,385,283,376,959,045,901,162,721,158,362,973,237,770,
920,213,006,366,686,346,490,621,912,549,501,664,201,115,590,406,907,058,809,
895,316,024,379,151,139,053,739,500,091,274,128,575,833,601,828,066,449,110,
321,419,690,031,028,541,716,764,642,467,925,063,053,723,153,794,259,791,988,
836,288,158,359,928,040,998,092,451,467,071,544,252,495,856,111,837,802,306,
636,602,381,024,543,796,244,942,837,033,652,089,999,640,636,557,533,668,391,
674,014,828,299,507,846,444,590,121,386,314,522,506,085,499,032,468,853,527,
666,276,809,253,265,672,688,859,913,528,377,770,403,021,542,869,881,645,338,
722,960,742,629,038,966,344,264,779,001,624,764,983,852,197,751,177,854,492,
123,162,036,338,792,467,057,108,591,792,389,641,425,595,989,688,006,455,824,
221,257,128,767,452,914,275,563,764,912,644,257,611,231,735,432,002,811,790,
551,698,442,411,540,668,403,178,936,488,365,485,642,962,349,904,918,969,668,
197,332,131,759,604,485,505,150,353,882,414,401,985,933,390,209,841,237,969,
426,950,264,763,431,139,127,340,393,850,101,620,446,887,315,432,458,064,798,
399,314,068,181,360,497,903,870,936,408,711,617,114,737,679,361,857,982,436,
880,658,047,265,933,381,451,389,157,261,348,131,655,720,569,264,113,789,147,
842,114,844,819,912,224,264,876,199,776,533,776,452,785,489,210,653,499,107,
920,492,999,451,570,539,450,052,557,720,446,444,309,447,429,463,162,172,185,
635,942,682,845,455,536,029,293,402,431,473,595,863,004,066,880,971,534,848,
369,836,790,245,075,636,728,902,589,685,964,536,020,904,920,530,674,073,416,
960,934,158,857,468,536,075,961,749,855,168,253,435,672,526,981,654,234,781,
792,935,081,036,278,785,662,171,419,273,141,324,699,820,617,450,927,716,210,
993,171,365,914,937,697,516,841,201,888,534,610,801,237,393,210,643,571,097,
095,641,253,442,763,869,941,389,000,647,545,700,169,809,318,585,831,980,414,
927,501,217,101,587,153,335,525,007,908,437,495,309,095,844,614,924,528,630,
967,330,340,004,507,180,863,789,382,245,376,334,441,585,293,647,236,152,348,
853,011,550,957,249,291,876,663,880,400,970,195,856,802,902,923,574,906,507,
723,933,544,396,640,005,714,986,731,257,899,439,080,232,947,886,940,793,414,
416,860,276,862,705,128,160,885,858,726,697,857,176,289,572,022,249,614,049,
431,576,352,068,625,502,771,169,402,908,405,876,117,840,212,104,090,057,606,
011,803,050,187,559,074,000,336,085,129,861,039,458,843,280,506,478,967,262,
119,641,460,911,072,375,875,748,305,024,036,487,511,500,677,377,967,933,600,
516,903,637,198,305,659,524,976,119,844,492,768,620,302,507,764,858,165,825,
542,072,869,340,350,300,762,448,776,793,692,465,775,258,624,675,651,754,863,
488,308,333,548,550,668,517,748,159,438,787,539,242,335,696,188,610,082,981,
520,798,418,581,960,332,594,812,762,989,629,701,730,893,660,202,238,526,710,
839,457,874,250,900,138,043,002,531,871,994,915,024,019,775,513,158,347,474,
874,580,160,518,202,470,374,874,424,132,733,953,440,365,135,473,956,195,256,
501,409,217,195,602,777,631,970,040,698,116,143,051,356,666,675,754,164,027,
707,820,505,734,104,711,271,371,599,002,639,159,651,609,776,883,172,374,431,
176,131,337,202,181,056,756,222,562,325,776,367,321,740,170,640,906,605,178,
107,474,347,267,680,225,085,665,381,271,721,117,979,466,154,784,067,778,127,
800,666,562,817,296,951,426,281,700,132,567,633,377,385,023,938,908,755,610,
274,958,614,216,647,595,797,116,635,293,731,784,052,627,734,758,080,679,684,
042,594,399,774,188,774,358,381,405,805,280,536,843,750,869,138,740,715,860,
859,077,110,999,339,528,136,380,675,606,584,799,815,125,169,797,750,989,048,
431,492,791,540,058,802,926,554,217,412,848,523,419,896,814,670,322,575,117,
879,071,742,484,483,795,328,265,434,493,540,734,821,121,662,126,900,276,911,
204,447,141,116,616,889,324,538,334,995,839,086,878,221,429,136,734,772,536,
442,839,466,993,038,833,601,542,496,375,933,775,089,802,856,319,603,353,226,
783,486,677,348,722,670,284,009,569,417,374,138,646,111,551,701,670,497,186,
033,257,678,537,634,128,878,330,278,828,356,900,736,378,380,480,892,530,984,
973,803,114,958,464,147,970,194,200,512,462,495,290,658,062,769,684,395,899,
596,720,172,840,384,517,651,845,576,926,798,419,261,720,310,846,321,589,609,
476,468,878,831,636,841,344,414,674,744,090,048,190,929,530,251,470,982,995,
137,021,923,247,191,017,983,422,158,581,185,314,936,523,500,106,151,692,639,
429,036,731,421,085,515,749,346,205,261,867,148,206,711,054,614,369,654,184,
295,279,943,017,699,365,324,066,886,649,538,073,442,435,316,630,334,968,171,
014,635,337,860,505,020,565,475,616,053,332,910,565,971,290,964,533,122,132,
215,988,896,632,124,879,695,021,914,869,012,805,558,162,600,602,452,204,307,
982,318,806,552,146,085,977,329,639,520,801,221,551,273,648,050,585,211,428,
146,899,640,821,207,469,956,437,095,504,278,216,178,580,138,105,148,674,825,
116,360,514,608,144,681,278,638,203,760,521,724,921,002,469,203,613,530,333,
561,788,870,801,876,416,144,797,820,855,800,743,805,491,279,675,847,483,423,
071,363,996,050,511,240,888,884,866,406,540,285,273,481,018,872,690,654,825,
142,051,942,339,247,030,798,400,186,981,140,400,072,721,706,031,288,736,865,
814,076,219,318,285,020,835,952,239,821,342,364,938,919,050,963,849,542,009,
405,897,631,842,774,558,068,375,587,065,470,479,978,039,290,204,309,792,371,
479,805,057,735,421,562,630,762,825,699,774,953,085,320,455,612,212,017,325,
431,536,674,037,464,950,226,678,986,680,448,079,051,766,024,032,093,374,124,
180,784,654,660,260,836,527,728,063,944,238,118,514,444,343,727,178,978,431,
920,768,822,704,718,956,437,475,868,099,966,235,644,788,910,787,988,311,843,
026,741,631,899,131,975,802,741,079,061,081,595,288,419,805,012,552,782,661,
753,777,697,309,984,694,091,113,998,377,152,504,345,285,549,640,376,351,078,
984,056,484,047,147,584,151,768,265,222,307,592,477,146,530,839,244,816,348,
954,646,458,542,219,826,850,140,567,551,414,240,566,788,273,492,037,687,492,
122,456,083,605,475,508,390,948,267,448,615,716,747,481,669,296,311,196,041,
207,021,650,493,913,526,640,658,074,888,662,458,360,907,383,411,742,472,609,
627,375,615,616,815,403,235,409,817,451,025,207,881,463,644,195,403,129,398,
023,172,060,471,676,512,944,001,128,191,546,269,747,118,693,801,401,590,410,
791,290,826,299,910,461,645,028,536,299,075,116,874,194,689,767,395,385,127,
999,094,102,964,323,909,047,986,154,912,237,601,834,186,109,023,784,117,202,
257,719,737,717,771,259,993,092,433,628,492,121,463,656,285,507,759,309,923,
248,246,144,239,101,544,670,857,102,434,612,706,248,745,441,861,378,228,691,
926,130,472,806,490,901,199,270,795,532,737,885,845,668,076,173,252,998,427,
628,493,875,629,140,774,180,248,044,034,564,539,515,648,125,736,124,707,332,
258,375,966,523,907,512,186,581,688,855,139,120,142,379,993,755,424,866,956,
578,544,198,268,615,581,084,909,666,055,814,188,549,503,431,363,937,938,563,
488,729,101,403,581,943,766,716,657,249,437,421,246,945,656,240,915,682,839,
297,737,076,727,568,668,132,009,768,035,276,337,162,115,031,625,710,700,658,
040,152,226,276,565,750,581,921,454,962,001,986,847,280,927,234,266,467,759,
641,551,475,983,854,019,949,420,825,224,772,729,379,231,120,319,989,799,475,
386,911,833,979,751,790,393,808,422,052,809,940,039,663,384,827,271,710,120,
223,895,241,174,075,960,064,001,969,883,580,903,367,701,430,417,157,097,485,
758,524,708,286,951,209,029,555,438,721,482,007,741,294,976,799,232,584,066,
846,874,637,168,429,486,643,345,855,607,970,537,574,654,151,276,012,580,664,
507,829,875,325,273,928,938,282,259,163,694,479,800,352,074,615,567,891,864,
967,776,414,756,047,524,035,184,219,360,258,780,436,506,736,712,427,695,940,
525,604,082,811,573,562,547,019,364,934,891,589,105,353,644,570,418,470,160,
756,769,273,968,734,135,015,790,675,385,093,903,281,254,363,723,380,145,485,
503,594,860,624,506,481,278,263,862,508,024,669,389,700,908,229,866,462,198,
526,651,506,651,543,795,719,215,356,749,412,120,080,871,862,974,616,081,879,
062,147,758,480,114,894,604,471,996,024,414,037,589,740,203,003,638,950,103,
022,321,164,210,797,962,135,508,070,406,436,946,047,151,354,816,017,082,258,
053,051,668,489,839,358,235,734,397,609,450,121,861,071,605,560,175,733,215,
474,100,810,366,358,190,611,688,295,341,296,263,039,376,012,265,457,154,762,
971,242,914,624,450,466,042,827,481,615,239,099,682,418,749,914,679,684,446,
128,954,243,762,039,384,111,763,088,508,672,432,090,029,545,761,996,215,168,
388,326,675,991,403,274,094,006,795,106,688,840,930,960,198,028,456,973,913,
934,380,540,829,114,061,944,674,009,570,499,837,051,536,199,945,551,380,298,
167,440,361,824,392,516,059,218,748,331,789,853,180,559,778,990,384,969,612,
748,457,290,797,828,432,887,197,482,557,404,058,936,369,694,195,487,612,226,
325,696,706,144,559,266,830,736,154,233,986,851,004,196,894,554,436,931,175,
812,590,594,288,703,460,904,704,608,922,853,419,272,388,917,202,302,510,240,
609,636,634,376,646,127,261,607,478,926,648,451,818,131,347,490,948,583,652,
925,479,359,473,385,390,391,460,170,201,677,444,756,480,589,601,344,457,930,
832,543,109,403,432,738,384,784,329,456,298,730,270,066,450,178,988,132,199,
403,992,107,616,940,546,513,257,626,540,225,322,261,238,386,374,392,441,908,
419,140,154,301,854,053,971,688,718,589,471,633,502,422,441,282,547,755,125,
147,561,747,836,099,112,793,455,879,703,712,210,498,358,823,154,689,221,696,
282,854,302,883,468,254,196,196,048,942,736,597,331,494,200,552,153,756,554,
741,512,512,709,098,767,163,257,237,262,958,193,792,941,419,643,312,336,513,
869,471,033,858,236,485,793,062,745,748,652,099,010,437,774,169,244,890,475,
190,043,166,569,253,615,819,398,932,724,179,335,019,209,535,343,183,501,894,
145,296,685,079,115,748,640,101,895,271,479,111,885,329,946,168,003,120,225,
723,330,255,742,076,043,112,484,527,154,130,088,174,995,421,090,454,324,788,
961,822,738,293,529,800,454,576,011,661,270,095,007,758,868,741,766,412,855,
652,603,297,867,498,705,087,051,389,445,430,353,507,513,555,988,731,155,320,
093,728,757,537,878,914,578,856,961,387,597,136,671,149,867,339,036,098,255,
406,660,858,173,538,502,097,572,272,909,388,326,344,361,243,935,267,710,731,
107,586,276,495,766,676,686,452,030,066,680,275,502,509,421,924,748,412,034,
580,613,114,794,324,829,565,256,719,382,171,955,102,524,200,808,038,809,185,
147,886,167,379,148,305,816,790,245,561,136,716,710,405,289,714,025,619,474,
271,769,717,706,415,372,489,464,095,236,928,999,752,381,100,127,765,351,612,
097,497,783,027,072,964,302,380,007,532,261,824,812,845,228,867,194,351,739,
365,654,452,451,561,787,965,970,653,719,786,506,282,436,093,398,255,698,377,
863,965,169,485,607,873,102,281,970,473,386,758,876,839,857,512,687,301,825,
770,564,860,092,110,902,139,033,889,707,565,697,565,550,172,253,818,090,068,
223,794,571,832,761,362,011,312,570,150,377,372,538,213,982,924,141,342,805,
866,659,643,990,517,674,234,615,584,880,219,310,953,101,492,516,189,695,101,
679,449,429,290,909,307,492,087,601,391,647,077,332,511,212,862,262,685,746,
409,583,727,583,707,072,461,697,425,055,642,499,563,026,006,159,617,306,741,
812,988,780,015,692,137,691,148,196,597,114,412,209,349,872,543,933,064,683,
632,926,187,103,181,900,847,227,171,208,736,684,112,239,049,008,634,398,985,
374,948,765,347,043,264,748,624,291,608,713,669,055,182,654,679,569,007,418,
662,073,267,214,775,709,522,874,031,514,722,667,988,584,482,395,274,265,024,
666,399,061,390,095,592,817,836,640,807,640,565,875,730,470,455,348,401,887,
730,639,591,357,746,679,128,504,373,447,862,810,045,863,763,915,802,168,849,
217,195,477,539,478,349,751,388,872,525,028,682,949,968,001,107,318,859,889,
517,266,229,692,300,919,867,259,310,492,504,633,143,685,534,525,240,071,790,
603,463,753,914,472,250,486,796,030,780,013,497,809,838,920,023,683,419,567,
097,004,258,681,500,431,057,517,762,348,693,512,620,933,468,933,047,075,147,
857,147,753,057,034,083,015,986,203,147,680,670,066,269,382,815,198,395,374,
050,223,447,875,037,200,223,629,240,365,928,445,809,778,505,795,707,423,657,
110,508,767,952,005,767,504,796,608,913,499,447,181,409,850,350,035,827,584,
085,239,250,666,741,903,913,189,693,883,633,460,627,388,561,983,383,508,417,
671,334,806,694,896,491,473,315,760,907,513,588,534,360,575,425,094,756,119,
512,157,811,195,491,383,426,687,681,305,465,733,139,773,151,286,736,799,331,
442,994,988,853,513,676,750,037,205,050,185,837,166,349,997,059,424,534,194,
630,163,693,997,924,422,026,699,536,636,218,739,203,789,490,751,094,159,382,
858,739,321,949,163,426,479,643,552,138,659,233,796,996,712,553,928,293,676,
563,384,742,329,140,830,635,968,318,300,726,601,003,803,456,451,328,514,199,
789,514,372,836,320,901,947,873,256,278,177,932,795,896,285,643,468,160,579,
274,765,264,797,482,950,117,556,474,771,436,965,889,278,682,069,323,046,496,
170,108,861,772,162,264,782,914,572,996,802,153,463,728,959,664,434,262,522,
841,762,314,602,977,313,546,580,105,864,908,552,053,704,052,763,024,946,833,
926,734,406,238,719,814,109,440,293,947,984,406,440,993,375,959,655,198,789,
420,309,470,644,516,013,128,211,685,981,337,119,311,654,501,600,041,874,886,
250,978,854,616,182,685,339,755,455,068,538,574,707,400,992,037,678,094,330,
594,528,101,268,463,871,761,807,025,578,456,317,609,569,250,865,437,700,145,
903,966,298,597,372,877,197,515,741,528,617,995,651,896,227,155,515,368,105,
204,732,944,573,795,726,617,962,647,352,707,184,344,898,906,220,320,079,690,
748,535,990,477,957,818,763,106,864,046,044,278,023,627,922,528,481,601,456,
962,365,875,740,961,657,043,791,654,562,989,609,720,097,880,861,562,200,804,
779,048,938,685,223,767,072,691,993,583,614,714,399,594,925,200,790,720,845,
221,045,389,331,680,418,702,761,787,120,807,788,528,328,721,046,527,683,697,
747,023,310,495,896,872,163,944,247,406,502,793,448,668,904,035,842,258,115,
541,232,645,034,933,260,433,599,074,540,288,589,462,323,720,903,802,858,913,
241,960,472,836,720,232,570,190,312,612,493,647,097,846,901,960,188,293,307,
434,282,066,699,629,281,900,440,587,295,000,205,604,200,892,564,745,340,617,
170,239,006,143,274,694,255,085,383,681,606,479,019,931,569,154,126,520,240,
287,785,110,117,680,006,561,108,067,155,692,454,411,216,670,834,065,601,753,
986,367,918,706,036,986,023,628,260,041,616,952,810,391,640,625,116,768,117,
036,029,551,086,960,025,536,979,638,946,886,591,496,620,789,106,475,403,397,
657,066,137,623,561,326,874,664,336,020,096,710,832,569,926,123,384,852,525,
016,581,645,421,707,100,636,238,299,050,354,812,511,160,766,461,640,642,770,
539,568,241,400,922,683,164,654,625,205,306,073,159,504,622,703,587,476,261,
170,247,081,551,629,301,736,384,806,163,543,090,787,549,942,179,205,483,777,
273,826,081,844,348,806,811,286,464,367,556,968,684,429,331,119,127,465,816,
448,030,912,070,605,956,082,499,797,743,099,041,032,345,067,227,207,001,129,
160,888,241,567,052,310,858,790,698,147,842,593,364,622,133,903,455,979,393,
506,063,854,956,072,897,299,861,090,377,054,152,083,935,037,143,147,489,157,
574,783,128,608,151,319,170,997,798,157,478,457,012,254,385,377,153,680,251,
580,758,486,519,286,858,669,086,249,546,043,679,143,325,286,362,503,309,648,
478,118,788,435,065,833,788,147,687,215,471,246,504,436,742,530,174,808,622,
883,750,610,927,532,839,019,667,461,688,066,330,030,564,448,966,341,521,844,
928,162,696,771,480,038,674,316,859,215,199,193,251,334,791,340,440,086,944,
656,844,172,130,524,325,392,491,751,509,878,879,796,786,106,074,495,428,358,
879,134,429,415,577,705,831,571,645,011,889,128,606,137,776,267,656,276,487,
931,263,069,581,085,879,074,966,736,810,346,312,383,794,785,718,650,645,376,
916,042,957,438,484,193,011,708,113,939,132,650,018,115,810,969,511,676,821,
289,213,967,981,083,581,016,341,396,353,552,007,637,998,036,702,218,792,510,
727,311,391,253,237,265,921,475,973,114,652,233,630,618,299,195,904,483,861,
904,801,382,304,849,062,961,603,396,180,779,189,578,997,571,014,717,699,215,
581,954,154,097,230,530,545,659,378,943,077,303,688,447,934,546,176,360,144,
646,725,896,001,170,473,004,445,381,512,436,393,435,611,673,134,453,187,822,
560,450,434,576,334,121,989,999,296,407,823,996,259,794,772,914,942,019,810,
754,517,259,129,534,062,171,861,667,026,694,550,737,820,715,609,255,462,508,
282,994,931,745,069,575,972,140,991,261,680,093,891,098,235,322,892,449,911,
727,511,790,273,069,945,678,960,474,669,790,395,881,915,707,975,116,410,951,
339,198,077,961,774,318,414,532,271,585,829,639,093,800,894,152,980,114,798,
783,925,116,843,220,064,869,021,180,504,142,691,655,656,744,217,119,681,596,
195,989,786,618,202,574,523,607,374,279,011,147,647,526,807,730,477,118,984,
262,304,633,701,658,952,555,560,825,977,509,094,432,275,541,964,089,478,306,
222,833,678,673,480,096,379,907,280,678,596,448,666,725,839,540,866,124,338,
376,446,902,173,997,594,295,050,117,664,330,003,565,487,499,997,866,763,014,
169,662,567,218,253,134,539,126,579,200,132,488,414,403,150,966,745,364,053,
815,319,751,001,426,421,726,528,132,577,400,705,516,258,773,624,999,425,826,
255,902,468,743,875,121,736,754,546,320,290,349,175,164,781,109,226,338,449,
066,870,030,096,466,139,356,284,381,663,565,759,563,332,717,037,964,621,849,
482,459,866,794,591,101,884,402,299,040,368,220,371,439,895,889,855,479,862,
111,115,835,116,010,490,657,647,173,870,047,409,304,515,808,756,714,845,765,
753,487,105,023,065,580,268,708,116,559,591,008,448,507,428,161,190,864,251,
695,247,797,952,490,737,943,758,857,696,762,984,905,640,921,986,988,926,802,
047,665,785,065,656,414,200,974,291,589,606,373,281,231,539,900,029,147,649,
405,191,481,230,660,695,551,690,885,277,915,726,502,798,952,061,318,569,246,
388,201,378,395,536,698,508,277,367,109,181,180,231,381,778,128,579,422,529,
831,264,524,147,274,235,493,326,139,861,657,170,510,037,385,225,081,187,683,
088,259,140,281,888,582,294,706,158,116,178,851,965,887,589,071,015,258,164,
745,784,195,042,783,159,649,586,093,828,161,901,155,734,897,779,221,683,607,
263,348,244,920,465,325,809,837,878,592,309,652,170,427,053,275,508,926,164,
545,896,393,001,381,703,419,939,981,833,022,683,060,696,593,931,557,130,958,
086,269,154,791,292,803,263,108,422,231,123,511,552,531,831,025,935,527,797,
762,877,082,507,340,700,576,036,881,062,432,010,725,839,746,546,347,082,745,
315,350,016,644,732,484,554,395,038,479,998,381,841,161,841,732,058,501,491,
467,026,651,316,945,302,998,583,074,379,747,708,240,082,891,518,035,559,660,
990,415,209,332,162,387,709,022,967,064,343,618,240,792,101,876,778,281,449,
853,066,651,511,163,711,515,125,103,567,919,338,952,376,009,168,582,492,483,
016,150,302,692,495,635,909,640,795,389,484,394,645,652,275,067,493,324,700,
328,926,055,391,997,131,318,630,172,002,369,508,288,346,511,765,232,040,767,
050,002,170,375,834,022,340,123,398,081,139,221,562,577,727,840,684,844,262,
128,906,005,340,179,231,642,999,632,833,763,923,101,999,274,312,998,145,107,
580,431,439,294,706,697,039,550,241,909,747,440,168,192,068,232,037,310,698,
648,890,273,983,362,421,052,717,322,354,706,526,733,867,625,336,629,500,948,
890,303,479,738,617,989,031,960,703,533,273,346,256,410,992,309,468,361,667,
382,592,998,877,149,247,965,198,137,537,194,978,350,960,752,414,170,058,720,
473,151,636,360,240,631,052,287,368,596,055,569,571,842,805,077,168,225,677,
472,375,123,734,628,253,945,852,577,066,462,202,697,479,504,669,412,196,786,
667,783,124,136,847,667,345,313,584,929,685,016,106,241,748,299,766,995,178,
616,185,968,390,087,211,515,988,971,605,581,455,834,997,566,345,426,494,311,
225,247,143,937,989,832,980,828,469,141,619,770,832,554,962,566,367,043,236,
013,014,172,823,303,529,565,434,046,171,657,684,981,430,647,623,446,055,353,
209,809,878,178,515,618,247,981,586,864,605,399,571,947,434,223,650,528,121,
173,127,139,175,483,565,340,200,310,007,725,504,611,368,677,322,007,296,598,
626,351,415,035,777,814,747,144,628,807,764,710,398,917,040,773,370,960,369,
771,047,244,923,895,437,876,308,130,528,857,430,577,463,825,219,236,755,002,
174,626,380,570,285,339,979,336,101,460,938,503,071,905,814,058,160,407,150,
553,004,643,420,648,256,310,478,474,192,945,294,630,959,687,887,199,912,685,
674,743,157,072,106,790,678,163,080,960,659,316,528,771,121,744,946,386,671,
080,142,969,282,218,805,951,754,922,797,572,416,655,094,676,229,964,954,900,
739,560,691,069,049,614,575,015,811,415,518,593,662,229,118,507,757,385,090,
026,760,026,685,143,104,819,354,736,979,959,752,670,027,318,017,656,109,414,
691,011,645,036,989,807,534,732,147,291,384,871,215,235,652,000,196,208,901,
212,787,673,630,176,124,535,075,270,101,350,503,307,948,135,226,648,060,723,
541,917,076,430,278,589,552,476,975,727,149,496,555,614,355,682,350,173,448,
661,998,231,129,128,065,034,707,710,285,818,509,347,878,260,892,264,877,588,
919,953,049,172,038,003,637,502,548,764,614,440,496,455,285,804,834,618,511,
641,615,031,861,775,513,048,902,395,997,282,143,418,817,558,060,373,117,323,
689,464,246,558,228,259,442,193,536,718,049,015,485,787,213,633,104,128,545,
874,215,743,043,667,478,208,525,020,766,411,943,666,003,273,813,636,031,462,
313,803,373,033,773,078,902,840,526,829,495,530,421,113,686,721,725,223,901,
193,217,496,441,732,140,190,844,425,513,889,549,201,793,534,573,952,781,333,
357,520,885,108,361,952,701,725,848,243,494,783,355,007,411,305,707,926,299,
952,789,123,673,075,313,306,903,940,704,847,865,393,392,023,874,653,394,964,
435,396,393,930,003,775,846,627,880,161,753,702,615,676,554,396,604,189,103,
142,476,513,874,541,990,434,891,401,629,854,129,797,844,945,778,540,999,292,
362,314,949,321,184,399,214,195,081,804,093,597,009,784,830,924,086,465,414,
314,720,045,799,711,424,301,736,170,441,129,121,779,611,411,739,874,876,818,
755,781,087,461,659,063,043,719,824,322,913,032,905,768,017,651,300,815,316,
265,621,384,003,143,075,723,926,500,762,217,377,925,962,497,086,741,217,569,
889,158,017,516,115,417,264,295,268,125,865,371,325,717,831,882,903,249,448,
324,989,819,598,742,783,627,089,195,189,151,485,793,868,723,065,698,355,341,
220,243,525,896,532,270,511,764,425,545,253,494,776,784,595,825,465,792,853,
190,409,593,534,952,405,568,397,678,219,816,268,706,295,073,934,089,980,691,
095,037,304,039,279,098,595,348,288,391,280,252,666,252,707,660,121,707,520,
990,793,618,621,593,463,666,915,106,880,288,682,717,582,044,053,689,839,931,
107,969,560,961,614,222,135,557,697,158,595,741,081,644,927,553,244,255,437,
019,658,507,434,196,179,119,138,107,196,048,495,621,304,961,805,564,981,804,
290,502,750,272,292,109,463,642,959,682,768,653,885,015,422,129,832,211,117,
045,860,925,484,245,081,622,170,984,756,712,071,854,152,703,135,086,273,687,
358,666,964,353,623,467,710,708,865,535,844,066,441,002,192,594,120,809,097,
873,270,038,100,096,988,605,558,184,609,227,498,527,648,862,501,181,314,260,
214,996,790,986,568,846,784,392,116,512,643,906,422,281,582,695,221,903,069,
450,823,578,847,839,811,446,457,575,537,896,907,619,790,972,407,806,063,738,
265,234,782,470,371,409,482,696,751,176,601,911,538,779,076,398,113,567,534,
634,243,381,632,054,261,696,842,276,384,734,002,311,857,015,479,065,070,715,
999,811,778,854,217,483,950,353,074,358,146,657,998,360,243,550,521,892,719,
853,491,766,027,147,870,110,427,681,598,850,032,263,400,406,036,427,515,347,
894,988,643,413,531,069,016,236,422,853,218,291,746,687,044,929,631,850,512,
211,814,738,632,563,940,277,474,788,227,837,145,948,390,482,205,418,644,251,
794,891,648,316,412,569,347,442,311,566,353,219,068,585,844,950,522,503,775,
566,010,064,943,960,645,521,458,834,290,065,516,367,112,981,663,451,557,357,
312,546,769,161,808,615,703,458,447,988,334,091,332,427,784,960,657,313,249,
932,832,551,979,868,536,149,305,836,464,210,548,236,857,916,192,346,548,942,
863,991,827,041,497,713,063,048,181,660,457,868,166,721,972,907,044,117,986,
579,508,018,498,210,236,353,980,116,768,574,909,053,604,797,397,868,550,142,
222,781,450,872,018,166,270,931,135,907,748,432,170,963,713,649,623,187,726,
787,007,351,636,334,710,449,709,263,026,448,609,824,155,773,831,763,535,925,
469,128,558,346,715,857,415,449,684,382,275,845,908,916,686,204,170,953,106,
115,732,728,284,044,553,839,558,896,818,233,274,541,338,759,292,802,271,216,
477,983,364,267,126,703,612,374,587,036,396,195,064,043,002,568,373,046,744,
179,046,911,800,303,627,010,502,467,711,972,402,561,538,718,923,164,964,407,
427,170,545,139,794,393,562,958,219,431,616,139,628,816,510,778,975,066,580,
392,663,381,804,789,642,831,840,197,483,093,823,200,289,488,008,000,719,883,
697,329,044,565,876,208,587,082,456,119,552,466,242,187,252,978,162,584,459,
849,538,657,867,043,426,194,839,586,978,720,948,551,530,948,960,712,569,651,
303,344,944,677,117,769,664,615,701,966,498,649,504,287,334,039,582,838,480,
932,606,277,956,678,839,679,978,132,976,255,076,717,729,238,802,761,615,705,
614,281,033,742,850,257,295,036,490,907,245,729,841,484,452,550,040,602,839,
992,880,515,276,449,909,049,237,012,972,933,237,949,481,833,735,049,653,488,
202,878,933,160,820,442,210,350,071,360,937,605,227,242,426,335,859,974,007,
592,945,709,335,028,183,709,282,426,121,551,819,775,672,625,985,349,615,645,
785,590,818,021,365,609,316,396,799,962,966,460,346,993,765,109,894,113,428,
432,790,343,099,577,589,443,313,842,889,173,361,828,525,522,974,689,517,121,
851,791,218,342,379,955,448,107,731,942,887,266,783,498,716,822,654,128,589,
630,771,091,707,914,733,644,993,809,796,824,976,231,461,478,546,536,935,726,
151,685,570,518,686,574,934,006,917,126,363,575,028,482,155,584,602,090,656,
838,087,200,627,107,812,491,250,789,911,074,214,444,220,959,130,511,968,708,
542,498,632,987,658,625,426,231,278,452,612,258,658,109,880,549,247,583,920,
793,122,436,573,666,721,616,109,878,682,569,298,753,434,722,724,840,066,168,
052,884,408,416,213,419,429,299,562,326,136,702,668,711,676,877,401,901,044,
703,445,989,375,503,531,613,153,177,819,158,991,924,151,879,062,356,908,574,
448,263,631,534,321,883,938,121,730,970,535,497,041,217,082,911,139,031,480,
107,059,917,165,198,833,185,273,535,918,877,907,841,593,763,182,008,797,784,
566,254,598,183,679,898,373,943,697,917,688,987,324,248,350,824,435,288,296,
112,163,386,587,309,734,093,714,227,116,469,154,491,324,253,285,627,062,977,
725,549,031,784,049,258,576,002,429,400,493,468,809,107,521,445,353,420,422,
011,891,334,910,869,763,346,352,387,357,545,796,646,475,543,208,637,860,446,
176,767,025,326,308,657,691,390,918,206,880,877,547,248,769,732,397,434,919,
003,119,434,999,924,936,019,650,779,127,710,662,516,255,325,723,729,234,148,
719,281,072,395,665,576,554,516,112,792,647,554,195,020,215,545,919,721,255,
091,469,747,006,837,213,234,966,703,445,524,906,614,828,078,452,560,930,912,
791,523,123,430,547,439,281,330,064,451,910,599,777,657,744,211,503,785,425,
245,518,238,927,220,892,080,371,178,310,730,922,162,059,259,763,844,928,902,
321,737,187,302,135,775,037,576,641,537,541,082,349,908,065,029,685,101,608,
954,816,223,337,052,193,468,903,463,000,172,670,402,779,798,253,522,534,913,
244,060,604,090,414,804,946,323,869,512,367,558,272,289,769,593,425,613,698,
439,704,246,662,637,170,208,558,646,232,992,302,806,833,852,981,537,895,930,
557,221,446,585,567,382,828,328,936,984,817,718,680,330,809,482,701,453,101,
682,694,788,919,175,168,093,540,882,149,190,770,019,737,364,155,864,057,799,
050,432,675,243,962,641,298,152,302,846,127,537,231,288,623,163,871,469,809,
535,994,210,830,046,159,048,379,587,824,659,857,779,358,162,916,244,809,204,
195,571,512,904,954,188,143,035,577,689,812,521,961,465,551,422,382,380,749,
095,488,758,441,020,019,441,369,260,113,463,245,977,841,797,637,561,403,016,
983,269,498,865,875,443,260,787,908,046,539,090,898,904,246,924,107,234,916,
510,520,817,784,357,935,907,681,165,700,847,713,254,611,594,105,064,775,541,
850,925,975,303,906,898,834,532,236,793,634,209,322,117,546,578,798,846,149,
623,758,079,002,649,404,850,089,592,880,140,817,647,421,739,154,664,640,282,
746,355,302,447,456,318,636,846,959,387,045,531,107,248,158,760,558,159,187,
273,595,844,287,806,714,599,441,659,182,421,798,711,503,427,573,307,193,931,
492,081,870,906,996,566,146,560,287,996,239,179,700,744,532,776,403,650,891,
569,210,904,779,469,095,738,570,196,537,568,741,373,817,146,677,284,071,209,
296,503,015,987,786,502,940,724,448,736,717,597,152,552,678,663,443,837,141,
536,486,998,139,740,395,864,303,665,667,150,810,478,380,482,849,351,104,135,
623,538,150,755,860,586,529,890,028,019,948,313,942,308,734,678,390,861,345,
642,400,032,949,275,129,884,124,166,576,075,326,665,077,092,175,627,605,971,
881,768,650,326,673,571,545,204,691,098,409,955,241,294,683,350,198,792,178,
403,535,401,660,830,702,322,753,486,835,306,893,639,884,247,784,768,077,508,
580,785,892,706,855,570,656,705,883,706,045,391,004,982,643,173,333,758,832,
147,713,315,394,686,120,876,574,930,046,903,878,959,018,863,268,616,537,461,
925,606,155,599,373,967,259,343,362,692,790,983,833,540,549,007,252,631,004,
038,035,132,588,865,975,233,913,338,384,131,340,967,227,283,731,792,623,906,
785,065,908,312,234,492,211,891,378,553,418,826,887,472,732,339,837,724,935,
034,384,488,719,807,944,589,139,019,084,392,454,587,971,890,202,874,460,492,
824,747,445,759,548,141,731,608,669,921,265,884,070,173,459,712,970,161,976,
481,799,603,780,861,993,792,204,197,234,254,326,691,571,091,202,507,829,814,
673,888,522,484,761,414,125,220,279,913,936,068,247,465,557,778,797,070,179,
668,719,502,828,765,636,679,891,005,986,500,609,918,876,950,290,729,432,515,
130,752,603,585,310,836,116,230,401,262,413,677,516,160,693,345,830,336,010,
133,982,160,357,222,238,285,620,180,636,020,958,837,873,556,874,978,921,916,
901,824,477,303,413,427,050,216,539,881,133,761,869,712,517,932,069,361,644,
143,066,599,867,597,497,290,852,350,763,490,545,067,896,795,122,555,790,858,
506,601,081,931,071,432,878,582,141,986,527,730,503,024,975,364,154,759,485,
035,541,077,917,649,338,912,441,919,612,743,520,753,595,898,619,983,906,515,
705,278,520,009,790,016,385,967,604,946,510,033,228,559,886,073,637,469,511,
428,811,996,521,624,438,767,952,791,148,709,459,440,696,105,907,423,723,117,
750,042,446,858,013,114,554,625,251,692,285,360,174,133,161,224,593,303,765,
500,708,805,419,263,442,304,085,688,207,759,301,874,105,223,429,565,317,842,
117,284,902,888,606,716,799,923,019,518,304,329,783,942,873,546,711,576,442,
556,157,814,379,829,676,861,468,532,149,116,371,102,165,995,209,274,584,550,
055,184,208,636,446,739,231,930,655,143,583,127,701,610,301,495,360,879,841,
585,273,192,441,988,286,526,525,847,200,768,065,959,883,140,916,013,435,684,
814,791,027,140,507,452,468,036,357,969,460,259,857,702,418,154,517,708,062,
964,202,228,905,611,316,490,328,999,350,725,763,540,849,365,812,665,532,780,
750,510,446,095,713,466,069,865,480,860,673,823,757,618,085,529,867,654,993,
164,715,184,552,985,892,512,721,152,928,925,969,631,847,242,175,382,074,356,
236,197,604,218,664,982,292,812,033,122,378,588,858,803,922,399,937,093,501,
128,383,574,306,030,966,089,558,668,387,564,793,481,740,073,176,091,737,041,
538,139,033,043,174,604,867,544,506,595,447,304,413,507,137,137,689,066,421,
079,964,326,168,993,750,657,031,549,479,567,387,360,527,846,934,367,168,825,
798,633,805,643,469,185,624,348,432,438,146,882,784,951,959,603,106,372,811,
064,814,040,035,072,358,362,621,453,187,378,603,604,967,319,683,462,107,052,
067,476,681,748,724,753,969,632,666,452,977,517,293,406,436,760,761,771,506,
319,914,425,959,587,169,669,567,619,358,308,871,811,893,271,267,530,254,197,
645,974,269,057,148,696,112,179,589,627,084,376,565,147,428,724,507,870,195,
597,310,504,753,189,168,954,876,666,998,501,807,777,785,804,602,603,007,565,
149,733,215,065,041,694,643,740,340,536,555,157,052,247,537,733,996,289,320,
970,178,971,950,869,407,224,102,044,080,868,709,093,168,238,705,940,155,000,
692,830,769,216,449,355,150,565,125,783,177,818,580,879,403,859,341,525,224,
580,622,579,388,315,529,362,392,423,672,159,091,425,892,726,049,630,913,433,
603,870,001,192,562,717,663,621,502,556,369,857,067,857,428,503,557,155,093,
550,219,817,702,369,314,749,432,806,190,905,407,844,499,899,629,640,758,362,
996,099,909,369,461,635,920,239,775,994,667,432,608,578,850,776,655,862,448,
479,623,723,620,480,836,455,241,692,374,814,163,004,484,017,088,604,127,384,
479,686,636,142,008,076,749,923,209,075,471,676,452,431,130,973,996,389,258,
604,171,487,350,011,995,949,785,521,324,356,073,526,925,640,404,867,492,895,
963,284,622,622,523,683,873,931,280,348,906,623,314,827,496,765,093,877,232,
979,647,443,046,478,466,831,452,679,938,449,328,145,288,522,842,933,937,254,
314,471,093,332,404,798,494,339,716,644,414,993,626,132,797,243,885,254,493,
025,493,043,065,405,436,389,046,965,900,747,475,852,459,642,714,848,366,845,
561,893,544,178,694,450,206,176,998,523,777,767,620,998,406,067,707,233,530,
046,790,163,377,938,325,072,105,792,830,943,107,107,119,005,201,898,116,619,
175,895,594,954,256,169,679,838,373,472,735,880,846,681,783,203,881,371,154,
777,658,237,566,387,067,230,397,027,048,485,677,228,742,250,330,693,070,429,
947,309,902,854,044,842,106,687,133,235,963,635,110,340,069,052,824,034,857,
345,745,878,156,415,970,323,849,642,573,463,645,585,036,440,815,395,384,970,
070,549,713,178,664,148,174,487,664,296,371,876,190,863,044,699,215,762,888,
457,752,871,797,099,938,886,014,562,276,238,975,404,655,892,676,213,107,546,
558,318,776,067,784,836,752,978,991,445,776,896,364,201,050,610,681,366,801,
219,688,692,182,308,094,773,742,732,108,194,044,378,439,362,876,877,353,172,
621,836,111,870,464,613,867,811,943,441,364,980,486,712,155,687,849,533,875,
345,079,686,469,792,710,261,901,808,291,376,261,317,260,186,868,733,953,416,
257,975,136,329,753,915,253,062,783,758,795,993,764,029,614,700,513,808,587,
753,980,375,596,468,286,449,107,077,120,133,999,258,118,635,824,348,025,005,
966,946,660,185,778,600,516,539,065,460,291,631,349,790,002,404,576,540,408,
398,735,828,753,246,025,992,739,151,619,629,537,975,770,121,468,107,470,630,
514,382,341,770,483,996,326,509,783,081,221,092,316,282,444,285,580,456,065,
917,197,604,774,740,461,378,955,631,778,517,584,234,555,757,095,306,170,039,
450,915,248,023,819,629,846,931,141,427,972,285,776,420,305,169,055,320,817,
572,470,956,519,989,096,143,283,922,990,242,672,536,121,041,870,425,441,013,
162,506,801,572,477,264,343,164,857,815,124,742,477,748,271,205,405,337,941,
489,228,736,038,545,332,194,310,301,674,801,297,408,606,224,811,992,345,867,
901,993,711,051,215,249,632,885,515,664,981,461,285,145,243,495,894,112,772,
236,253,858,985,467,150,233,803,460,984,983,231,693,990,453,029,921,053,809,
584,519,141,600,472,363,007,797,136,033,802,568,842,692,075,697,704,896,338,
516,440,487,865,806,367,843,314,013,053,962,979,844,859,169,263,691,612,013,
940,306,050,278,686,073,500,434,963,580,170,763,317,511,318,985,662,916,998,
622,936,026,948,411,570,850,163,848,746,093,622,721,846,329,201,132,936,556,
588,644,145,812,796,467,701,995,917,039,326,536,144,081,593,558,080,438,851,
640,067,021,532,416,063,366,644,780,596,130,917,714,247,442,940,026,273,663,
839,361,124,407,204,921,837,553,813,891,919,842,836,575,201,723,207,107,512,
931,507,615,317,052,680,187,034,253,093,067,158,208,759,818,890,361,044,792,
065,475,191,766,176,993,532,548,655,527,229,051,815,427,092,392,426,866,942,
466,129,362,125,046,722,633,196,120,666,927,518,985,850,795,894,581,384,914,
563,239,959,163,769,866,939,773,769,454,272,772,807,676,206,256,872,671,528,
997,362,058,352,296,434,515,793,788,224,075,715,531,979,293,667,125,791,379,
062,802,465,394,424,633,725,642,817,619,543,986,483,031,217,788,560,335,935,
033,255,145,850,603,732,818,495,585,777,130,935,146,921,851,765,618,935,982,
144,401,525,294,889,906,673,107,170,526,586,888,667,551,399,701,010,074,042,
213,791,284,967,942,869,216,464,813,484,097,477,889,291,371,421,438,374,932,
664,968,020,222,259,500,273,172,463,339,835,758,252,889,313,536,626,702,700,
909,904,078,913,051,338,580,673,623,907,327,358,852,495,359,682,964,193,146,
167,808,373,020,408,279,759,633,543,510,399,676,387,040,542,390,790,125,176,
807,935,269,885,962,965,692,305,962,137,840,972,367,371,762,361,958,451,517,
674,069,068,985,275,003,853,949,283,748,737,355,931,010,718,385,608,438,209,
776,947,029,861,636,894,037,806,050,909,819,760,125,172,424,815,978,265,166,
599,870,281,444,708,384,214,717,056,003,835,663,009,561,292,770,197,179,465,
853,033,929,535,695,004,195,810,917,337,198,945,320,363,306,557,123,244,527,
823,446,035,953,417,833,872,024,915,179,626,434,384,580,336,774,097,374,153,
944,945,908,603,221,914,315,195,797,803,500,413,515,272,919,178,387,659,717,
967,275,054,246,082,430,361,853,700,874,371,310,783,838,398,433,324,851,819,
753,660,037,392,817,366,873,134,924,926,774,402,812,198,414,483,349,384,248,
883,546,302,787,107,688,315,811,976,567,395,187,523,944,279,985,693,431,386,
064,109,474,493,376,998,080,661,925,163,601,439,433,054,058,122,003,976,974,
293,940,732,267,623,858,308,928,896,402,747,600,818,717,591,015,413,973,495,
152,763,250,146,875,620,287,281,743,863,526,221,958,266,975,906,809,680,199,
043,859,255,663,294,095,316,635,245,573,397,298,013,618,329,761,049,752,047,
093,641,402,955,466,851,138,144,068,820,894,386,697,249,916,668,819,799,362,
533,869,525,981,698,208,230,714,683,890,367,653,564,036,133,549,037,676,066,
349,516,727,778,138,290,961,197,578,394,977,344,826,475,290,287,669,868,229,
390,736,827,919,537,534,450,572,213,223,751,461,565,003,689,510,457,555,919,
457,997,601,312,078,772,967,782,845,606,162,814,774,329,976,216,743,047,183,
937,750,671,458,078,212,344,506,298,654,586,305,907,955,534,947,621,907,384,
159,560,038,970,128,769,378,414,865,020,905,828,922,063,907,461,853,288,389,
899,856,379,684,121,353,824,044,928,734,003,549,124,870,889,534,796,991,933,
552,669,813,441,432,177,575,619,396,761,358,266,568,745,701,468,739,953,746,
146,472,983,273,444,725,824,613,771,592,729,521,124,888,073,357,116,674,271,
862,410,969,585,335,132,061,900,912,741,003,445,976,645,709,932,599,626,429,
526,134,469,775,199,799,245,181,826,631,916,128,230,610,113,617,294,975,351,
213,692,503,148,567,329,067,962,635,887,914,719,515,982,104,653,697,702,150,
636,598,039,515,181,629,878,095,899,218,429,244,882,495,415,568,387,787,950,
382,080,793,271,554,081,285,359,318,070,738,655,396,892,447,798,324,890,859,
707,750,476,726,583,121,881,994,493,276,176,738,093,394,097,048,195,395,846,
312,880,709,364,562,269,977,709,478,652,843,047,331,896,747,950,158,442,902,
921,476,557,419,550,461,884,242,824,076,412,445,580,867,375,795,368,693,620,
045,874,060,202,920,056,577,946,445,283,945,526,546,034,365,664,849,228,427,
397,699,834,978,146,610,038,240,435,784,053,947,384,316,137,625,009,742,012,
500,847,918,828,787,356,627,300,700,704,901,818,813,750,482,124,102,615,945,
492,360,370,957,375,697,226,558,758,024,233,866,292,497,516,514,410,145,110,
945,830,091,939,364,173,938,171,629,449,184,007,259,602,423,887,999,197,697,
392,869,031,490,400,354,657,032,468,145,589,630,362,361,616,685,181,435,777,
306,576,802,890,384,087,265,616,100,365,988,863,715,474,360,471,785,045,150,
163,071,941,926,421,890,107,081,193,185,410,877,473,000,940,871,069,603,005,
516,751,561,951,075,078,765,209,908,921,565,535,309,285,382,895,922,624,182,
747,321,805,775,780,113,096,561,058,154,299,474,309,984,259,352,945,099,220,
014,479,891,124,527,654,268,412,389,572,514,333,762,105,386,741,465,480,300,
544,810,506,366,028,372,311,591,804,135,774,284,721,927,957,889,005,460,537,
733,410,751,357,977,388,398,944,126,095,408,377,954,089,897,452,979,089,906,
907,426,005,985,121,680,890,719,205,214,770,337,866,296,671,614,116,628,907,
278,494,573,423,277,536,887,898,554,454,171,996,997,165,998,343,563,189,827,
004,700,296,871,631,536,124,123,614,785,881,568,227,720,201,976,830,867,523,
313,134,828,849,516,082,349,271,681,591,066,118,333,021,971,496,270,249,699,
600,542,472,806,125,070,689,563,807,789,342,199,861,838,145,625,109,176,455,
701,176,579,465,333,366,344,113,924,336,257,434,632,371,443,265,125,618,147,
728,071,450,533,463,848,455,583,161,804,214,284,760,320,147,928,542,592,303,
099,813,566,714,496,807,448,012,264,649,678,797,847,253,293,314,639,296,938,
897,679,948,321,646,783,475,201,360,825,802,837,380,080,742,235,551,687,881,
983,315,606,523,351,726,636,544,124,501,211,060,726,366,754,569,680,170,788,
942,069,624,389,142,717,257,851,269,983,283,488,876,838,593,908,978,047,726,
121,405,924,439,513,550,899,532,342,686,471,332,988,434,111,677,002,540,879,
324,762,260,642,954,089,634,584,706,487,265,333,423,569,795,827,754,778,621,
715,986,073,474,706,251,398,716,883,598,734,999,842,684,450,038,371,436,807,
288,411,538,041,139,529,000,499,292,272,075,283,901,523,158,609,381,282,050,
711,736,481,908,151,876,852,694,804,962,032,603,675,349,550,836,905,923,971,
095,044,426,461,679,044,086,788,959,832,304,884,754,444,041,524,081,119,567,
286,897,678,688,409,403,069,160,699,996,172,982,513,571,200,354,718,217,306,
738,062,557,090,101,355,118,707,137,769,792,620,298,033,380,168,756,854,916,
717,417,836,522,856,383,075,504,419,590,538,505,505,013,787,014,344,124,743,
059,597,321,307,777,563,245,914,173,445,633,512,646,990,092,070,072,574,339,
725,859,772,613,005,393,126,169,552,251,813,485,624,902,131,719,473,488,556,
180,225,556,722,186,383,365,625,095,413,310,603,166,150,113,872,379,189,586,
826,540,479,706,269,700,911,832,984,031,355,283,631,625,163,354,300,842,223,
210,879,513,796,486,078,068,693,201,670,081,914,816,011,306,585,248,879,757,
417,346,307,691,439,411,449,061,602,101,033,895,752,837,989,929,281,649,482,
540,182,092,525,843,602,794,910,473,426,290,467,979,801,343,745,372,326,071,
361,171,480,004,499,158,478,968,074,208,547,260,500,583,771,328,551,727,445,
228,401,462,790,173,657,663,029,644,651,386,346,179,208,457,742,892,378,218,
840,507,422,272,931,277,268,252,380,372,606,008,963,117,726,901,678,459,845,
364,319,185,354,005,241,995,234,375,003,707,148,712,155,244,913,120,214,965,
886,298,143,471,312,951,695,285,354,441,442,128,006,377,610,311,628,758,637,
175,130,837,477,098,335,082,484,512,818,048,372,715,135,514,124,861,755,205,
380,175,294,404,654,326,935,226,762,253,489,920,935,725,187,325,741,235,430,
621,084,447,701,279,859,782,275,043,220,375,349,609,984,494,317,259,233,679,
338,590,116,965,117,282,670,030,438,396,874,483,085,876,063,829,018,394,170,
761,512,378,512,255,467,485,513,793,904,979,054,707,806,860,458,473,876,839,
222,384,770,306,174,225,405,293,997,764,078,502,526,905,917,393,077,436,895,
378,949,970,738,255,012,666,366,408,173,180,211,378,544,223,891,505,974,242,
074,978,037,678,743,388,817,090,612,399,262,772,421,403,972,591,499,938,098,
974,352,002,989,190,708,644,610,192,497,589,661,247,055,426,833,266,212,741,
568,338,085,934,154,977,224,721,864,439,171,917,009,358,261,379,318,502,719,
043,236,085,057,105,106,346,866,290,248,669,448,205,135,521,411,326,742,768,
641,934,917,739,715,018,871,449,511,902,631,549,575,221,738,685,346,117,117,
077,705,270,452,789,113,664,047,707,661,014,774,534,511,364,959,761,690,425,
709,446,949,830,049,144,651,806,093,657,578,941,771,613,438,620,590,131,133,
736,014,820,977,793,166,747,650,824,835,503,288,911,539,560,893,412,455,372,
330,748,534,364,048,214,585,254,496,477,181,147,657,906,911,566,840,627,537,
943,841,266,184,318,551,371,972,735,484,266,547,283,036,850,413,086,294,566,
310,481,419,463,908,078,323,820,007,174,753,627,318,451,554,261,135,511,915,
893,268,240,410,223,366,397,175,720,866,846,051,420,584,983,787,432,271,761,
399,114,531,974,484,256,466,765,880,816,763,084,315,875,095,968,930,163,781,
594,702,590,174,243,348,359,907,829,133,621,862,804,656,747,215,369,095,214,
922,577,538,341,331,654,245,820,827,373,286,389,639,324,183,881,629,050,603,
595,917,476,345,539,367,183,520,702,834,913,554,483,189,409,289,209,075,261,
630,286,792,066,841,536,860,767,223,895,403,540,646,546,158,022,275,033,113,
041,197,389,472,225,159,895,998,223,797,334,420,287,091,616,479,572,779,934,
678,897,406,497,781,922,706,026,393,220,928,268,477,319,878,034,591,152,665,
531,408,267,381,443,356,359,295,887,710,048,941,213,578,936,251,287,352,216,
194,089,308,221,064,902,741,559,857,425,218,420,786,053,248,682,514,708,495,
056,892,286,250,805,214,002,661,982,588,391,067,868,197,630,867,006,444,069,
564,352,593,395,929,845,198,593,385,199,283,619,873,722,238,154,227,240,156,
089,567,595,685,938,872,482,282,740,229,748,603,375,291,581,462,359,780,342,
966,775,012,733,631,900,007,419,648,251,903,280,532,201,022,941,163,752,025,
942,275,783,097,212,637,022,501,383,644,774,714,331,113,382,609,258,336,435,
435,652,485,827,526,736,636,452,102,995,007,155,585,497,939,068,123,302,532,
348,535,019,306,533,297,820,913,892,425,827,191,171,852,616,552,581,417,987,
275,222,096,925,323,127,019,041,632,380,156,209,062,786,897,462,307,996,820,
047,474,285,981,126,358,653,822,793,248,176,511,391,497,578,905,592,148,475,
454,277,143,064,398,633,150,011,164,433,394,805,849,792,447,652,426,517,210,
582,805,071,533,799,463,740,404,636,070,194,380,492,534,090,434,975,899,484,
389,154,111,800,918,062,924,751,497,844,709,459,002,333,180,171,297,753,306,
580,641,994,098,779,834,686,688,022,009,306,505,389,741,710,679,938,867,279,
804,154,862,231,665,045,108,666,479,276,328,605,179,596,410,616,105,086,902,
940,942,327,229,061,324,714,483,957,483,952,255,797,133,062,245,585,843,361,
359,414,009,791,494,300,424,098,575,846,073,815,541,205,300,706,719,429,142,
352,693,876,832,983,330,596,622,323,677,653,316,048,932,640,330,202,939,675,
157,540,694,839,345,892,653,121,809,187,344,625,956,580,519,031,462,280,309,
745,272,767,075,329,517,025,479,776,966,891,844,014,559,543,717,706,320,185,
424,757,619,761,114,579,532,196,197,957,772,449,738,637,951,514,786,391,327,
095,780,469,318,086,733,118,180,009,575,640,811,261,937,609,370,098,206,098,
908,687,424,589,068,179,710,733,186,171,857,148,898,144,502,044,135,209,806,
077,634,606,204,692,337,889,529,882,429,902,405,057,667,761,791,244,167,529,
316,923,684,197,169,477,711,289,894,553,125,242,063,573,968,916,477,249,799,
588,200,951,363,032,097,423,236,716,246,548,023,411,983,544,795,063,136,765,
643,897,448,740,589,438,339,844,072,704,545,412,505,990,018,862,630,569,806,
358,420,280,662,080,514,635,962,618,569,056,241,987,898,072,723,973,229,894,
322,284,420,595,600,631,098,655,698,971,098,886,128,742,966,749,443,986,059,
012,560,072,926,183,036,069,531,406,880,231,041,694,484,259,769,837,668,031,
804,875,194,886,782,037,421,411,980,976,150,465,638,876,035,761,652,936,335,
193,131,797,126,911,351,465,668,111,262,989,986,494,097,370,899,848,359,756,
465,874,516,363,959,960,479,133,445,940,693,781,734,841,629,681,339,515,215,
539,547,504,213,923,741,697,285,702,421,208,834,411,851,984,535,387,961,862,
155,837,685,411,857,552,310,568,483,805,709,038,501,668,404,724,265,009,305,
562,473,121,265,445,484,414,552,482,231,447,595,407,971,154,820,645,660,777,
507,536,213,158,308,977,862,193,222,966,737,439,409,624,724,692,888,195,826,
770,813,332,289,800,596,888,619,667,807,316,766,217,002,522,509,326,633,913,
643,009,257,054,762,590,620,734,476,458,363,199,673,920,052,360,051,110,952,
549,782,057,876,786,482,905,108,414,953,474,172,316,500,834,185,865,246,587,
118,476,907,953,580,075,414,830,050,700,341,222,974,129,249,203,045,557,380,
741,709,565,474,745,602,632,680,580,105,531,419,218,085,206,517,231,431,498,
257,750,619,985,293,496,205,956,673,696,613,870,903,197,396,736,765,687,057,
936,449,207,398,144,214,134,460,688,413,070,653,570,785,608,217,723,791,306,
566,663,139,502,898,198,752,522,965,791,300,988,218,466,066,425,476,565,606,
043,519,117,096,973,125,861,023,205,113,496,328,448,192,530,198,766,688,253,
249,880,456,378,167,783,154,326,907,671,686,068,986,386,953,842,564,519,560,
331,382,365,484,659,737,552,247,838,752,440,293,546,782,162,079,879,227,230,
423,521,989,455,021,598,901,137,287,270,078,288,246,562,816,034,480,013,116,
358,848,327,271,359,600,191,391,739,846,971,402,170,494,519,355,971,560,341,
314,127,679,379,032,964,262,282,569,141,590,532,525,246,093,811,264,393,957,
947,150,587,704,175,800,710,306,320,377,179,876,270,110,348,381,117,997,877,
914,690,049,927,591,687,758,474,439,995,742,333,280,085,714,540,054,278,639,
716,734,383,364,254,607,473,539,766,068,011,950,036,626,171,873,446,533,816,
749,223,525,956,820,411,895,678,354,286,793,838,133,855,150,825,976,117,289,
628,717,509,738,827,095,134,275,872,636,991,689,243,243,359,894,140,984,121,
121,646,824,519,183,982,745,529,008,058,507,583,948,399,334,195,541,411,925,
907,830,077,530,550,864,515,194,856,834,231,348,675,374,079,648,660,843,237,
077,812,067,095,575,708,495,732,984,973,676,640,957,018,842,880,936,959,909,
373,285,424,485,570,781,250,540,498,657,799,332,927,597,939,822,467,717,200,
235,328,762,044,483,387,277,748,230,630,984,406,774,993,912,398,635,974,293,
393,104,395,758,433,320,601,646,525,399,795,414,775,008,747,342,128,445,634,
230,215,478,152,052,519,371,812,298,729,279,299,854,457,657,455,532,898,267,
404,540,152,752,988,425,901,427,469,472,526,892,877,122,538,310,801,653,689,
256,342,094,127,547,421,022,233,131,855,502,185,056,695,895,797,694,417,593,
640,601,976,820,068,955,081,083,232,523,520,303,801,918,860,022,317,008,846,
599,337,899,884,909,203,709,428,687,099,299,319,905,922,979,059,125,428,404,
556,093,716,099,217,348,074,847,530,968,894,058,642,614,569,795,712,644,567,
030,975,517,348,628,395,281,726,096,443,286,378,605,153,630,903,834,198,729,
364,190,889,621,835,307,313,133,281,056,436,034,928,957,665,332,857,818,992,
026,748,891,981,018,935,379,805,349,634,454,630,253,708,375,524,090,839,267,
548,369,520,297,987,627,738,225,412,275,315,180,372,327,500,802,282,820,786,
659,481,561,153,733,897,440,693,513,123,687,554,994,981,977,382,617,681,317,
522,156,016,783,431,935,300,264,828,494,693,739,822,669,418,923,249,428,851,
708,742,432,429,003,835,322,329,908,041,844,941,397,990,153,468,065,258,995,
137,370,749,966,217,745,403,527,799,413,150,545,671,605,628,234,631,997,409,
873,879,991,865,250,499,011,094,847,946,132,847,834,924,433,226,478,042,149,
325,756,033,970,245,106,904,565,565,147,956,363,385,280,333,303,400,272,741,
917,865,167,741,405,567,998,596,366,894,789,493,787,529,680,718,260,046,965,
477,838,762,232,666,332,313,387,693,362,820,195,197,413,058,510,741,899,473,
116,716,159,370,719,977,222,471,367,710,193,686,068,564,259,270,370,031,034,
157,615,776,960,534,249,360,435,350,897,445,653,697,320,445,489,573,898,777,
594,551,607,194,266,580,833,180,852,469,373,778,915,196,024,729,764,580,083,
892,932,025,839,902,909,862,818,459,083,079,598,983,031,261,722,168,065,773,
165,542,468,417,254,304,219,145,832,358,510,141,590,027,201,092,272,717,488,
093,359,573,437,134,688,377,000,539,987,404,675,810,139,816,738,319,870,481,
236,766,394,449,766,146,015,287,382,910,908,229,728,735,977,657,162,151,974,
207,819,594,433,426,109,910,488,729,727,356,413,630,294,736,960,586,734,356,
906,902,836,212,648,506,238,545,816,938,847,181,834,811,809,473,185,344,171,
319,914,472,491,391,749,985,116,229,102,175,636,013,231,286,447,206,590,129,
163,437,098,464,599,388,230,735,249,858,357,487,749,589,324,232,444,352,320,
855,901,875,948,973,954,762,077,244,356,686,298,626,613,111,674,161,181,171,
009,406,025,075,709,443,416,408,551,512,442,344,413,125,747,050,413,009,488,
632,440,012,607,689,234,462,264,570,116,414,315,633,016,199,051,779,181,043,
023,624,181,487,650,388,989,049,562,948,048,024,445,558,473,415,581,486,440,
276,737,908,362,174,926,043,476,313,055,994,021,269,120,403,996,117,204,487,
723,675,875,602,590,993,301,567,837,537,916,086,280,185,936,998,646,328,090,
147,525,545,421,718,324,362,900,048,042,590,760,577,012,640,655,165,038,556,
967,394,079,523,073,017,457,573,286,565,501,775,264,239,145,217,111,994,880,
847,643,401,109,105,992,587,055,846,994,206,133,959,061,005,167,633,395,276,
505,632,990,994,811,309,719,552,601,851,341,000,976,387,940,528,843,907,774,
245,403,210,646,462,763,360,313,467,510,273,440,737,255,114,487,800,103,341,
249,619,812,054,292,773,926,028,783,319,416,208,283,420,833,324,272,556,675,
401,153,639,102,463,680,161,559,936,908,037,510,734,951,629,530,052,390,169,
574,525,613,637,749,544,707,044,886,712,057,141,426,890,811,772,497,391,194,
371,614,772,279,118,369,818,907,482,372,744,972,662,646,290,580,571,668,642,
619,959,380,996,098,414,996,037,805,528,125,241,360,038,325,405,772,241,163,
856,979,836,449,128,088,457,646,851,935,765,213,551,319,081,067,895,338,044,
007,690,263,939,373,829,094,486,305,686,914,973,772,120,154,153,012,581,422,
929,400,682,260,912,577,422,481,342,691,132,592,181,902,136,912,575,724,106,
321,486,305,994,224,278,363,963,883,461,579,820,982,033,330,228,620,253,212,
883,617,022,268,436,968,505,723,068,852,113,792,424,432,187,522,618,580,445,
036,094,786,922,210,076,393,306,572,840,509,885,162,039,422,757,539,432,034,
695,703,586,536,229,784,635,095,703,400,897,743,989,817,237,879,079,703,245,
860,655,391,892,262,262,437,362,503,535,103,343,814,779,503,631,786,750,858,
721,975,836,498,169,108,955,409,864,497,412,461,149,446,838,906,390,794,927,
254,220,290,766,786,517,054,131,217,386,874,974,244,166,098,295,176,684,222,
267,230,475,069,420,548,504,387,215,723,397,831,692,619,807,055,584,252,030,
836,849,898,420,161,844,488,761,747,040,947,280,625,858,002,939,039,938,471,
712,970,465,330,654,504,970,332,053,439,438,118,438,153,891,044,238,901,878,
473,352,082,248,424,331,580,101,167,950,510,546,043,413,681,618,245,341,774,
465,412,751,657,112,422,212,373,993,714,397,126,628,172,966,154,339,020,288,
172,811,453,392,762,601,280,354,119,645,353,850,576,246,657,592,728,776,177,
437,386,745,728,166,759,283,082,981,612,579,695,465,553,087,540,219,322,588,
473,804,147,642,276,408,575,483,725,941,817,289,355,801,505,730,422,572,431,
363,839,476,351,384,091,370,837,041,683,905,463,388,257,074,821,069,362,594,
124,582,165,843,883,853,029,275,691,495,683,008,044,764,676,815,082,648,130,
600,870,481,570,147,702,790,449,407,097,872,635,514,695,115,126,947,032,117,
782,937,178,681,044,697,615,780,032,972,540,858,411,647,233,238,838,402,275,
772,556,595,166,979,226,267,012,445,925,338,025,288,709,590,828,713,295,457,
750,432,340,217,902,820,391,277,742,674,310,514,900,865,976,782,391,821,160,
980,428,009,198,359,238,051,997,603,366,839,200,983,194,983,980,550,308,607,
192,080,777,931,408,716,868,530,475,952,414,414,143,540,151,701,904,745,836,
034,625,293,761,198,585,605,429,967,894,017,880,941,199,635,523,314,526,508,
492,117,735,708,053,919,825,614,116,263,735,687,574,663,860,900,697,700,073,
675,184,932,289,817,668,330,018,939,670,426,573,943,750,041,125,073,488,243,
188,078,406,475,754,054,730,588,998,291,609,680,374,878,418,977,772,807,636,
430,070,035,313,789,586,308,342,178,729,388,258,700,819,531,371,856,992,985,
673,323,875,340,103,565,049,751,464,987,598,139,606,717,822,587,857,442,936,
764,527,266,456,753,172,577,887,454,826,729,379,016,883,618,998,173,639,016,
061,578,297,207,285,770,506,103,015,703,237,888,302,928,035,869,027,535,155,
115,180,614,870,378,387,125,798,076,009,274,579,190,759,872,169,888,317,033,
406,053,669,472,898,144,070,039,036,352,247,593,168,568,096,112,791,186,660,
670,617,195,337,239,859,563,034,233,430,267,045,759,220,448,762,074,388,997,
069,464,154,593,507,551,704,442,450,469,781,449,152,442,008,881,478,064,425,
426,779,817,198,008,556,403,476,710,826,802,012,497,441,094,277,232,734,818,
907,145,648,356,137,457,579,271,055,175,626,104,004,839,142,537,981,930,020,
096,535,422,912,786,685,790,113,477,681,384,903,295,146,330,148,306,503,766,
529,541,410,738,691,929,403,650,859,487,146,305,030,308,534,899,164,366,013,
710,015,490,266,909,417,662,472,036,697,024,146,441,103,241,831,371,946,064,
446,047,578,814,294,395,735,656,525,472,700,118,355,465,659,470,688,496,735,
251,666,292,521,814,270,632,007,000,633,962,891,741,976,950,671,732,636,894,
142,296,403,814,217,834,618,119,911,723,041,973,330,826,354,703,972,337,676,
895,352,162,648,494,412,223,970,057,387,704,127,712,825,846,123,679,052,489,
876,492,166,743,359,554,628,618,065,063,486,859,759,945,612,209,626,545,089,
385,646,924,275,391,731,227,300,418,194,029,762,594,742,806,876,293,854,110,
291,637,659,379,391,886,370,516,591,508,190,320,009,358,174,637,199,381,488,
343,895,035,658,105,911,347,318,657,871,381,881,706,011,854,846,960,305,024,
159,403,013,883,857,187,203,273,765,220,109,648,018,581,584,396,816,853,783,
238,673,394,867,608,595,784,859,779,283,992,993,569,427,576,999,796,535,885,
283,240,549,287,751,040,186,479,553,760,896,821,205,017,834,687,841,464,480,
791,486,177,009,098,131,265,650,457,817,200,353,559,342,257,001,010,953,599,
279,780,812,750,939,610,126,581,776,619,119,186,002,111,818,740,672,532,550,
435,603,457,114,934,874,404,266,232,327,756,989,994,330,857,826,877,970,355,
739,268,760,990,946,985,792,838,078,914,983,801,387,052,589,852,128,814,048,
385,924,632,496,189,762,368,870,512,404,693,671,846,864,711,838,195,041,813,
262,012,748,699,355,021,315,608,913,711,347,483,543,809,029,618,288,169,037,
134,164,607,253,201,076,870,275,089,606,317,229,323,098,804,397,112,578,535,
967,753,248,817,899,403,748,153,367,891,884,233,812,524,887,289,009,927,166,
716,624,719,009,236,059,979,861,414,227,259,113,393,031,412,960,162,837,185,
923,553,031,040,334,657,202,471,777,120,521,534,029,873,202,925,379,175,491,
854,533,074,893,877,736,859,653,279,853,432,664,071,628,538,482,791,104,385,
943,645,369,406,271,618,395,464,896,877,673,585,716,218,353,349,298,031,574,
655,205,036,781,553,863,578,925,583,443,893,255,535,427,192,638,247,609,409,
047,488,910,313,831,647,305,379,695,799,109,115,343,220,402,639,776,785,796,
092,919,422,528,017,651,314,964,304,791,602,256,250,466,021,010,256,907,610,
130,065,024,628,141,685,949,422,955,915,469,910,012,372,456,005,093,310,365,
301,654,556,265,779,707,821,486,008,786,599,409,399,759,215,342,101,884,314,
706,119,933,284,805,926,494,859,702,852,334,810,955,804,953,236,960,602,813,
618,454,032,442,936,979,071,591,802,281,605,217,166,407,595,072,267,174,237,
468,995,101,921,391,164,126,109,707,945,585,417,837,382,920,843,213,880,662,
185,651,176,737,545,523,318,067,020,210,983,869,974,536,224,774,098,397,668,
718,988,468,201,693,671,247,277,885,460,289,533,868,487,632,233,354,883,140,
483,166,862,137,364,520,433,629,457,940,612,309,926,337,298,185,280,316,093,
346,904,064,638,180,399,039,015,718,630,360,580,765,262,126,070,723,819,706,
676,791,115,037,065,898,825,755,055,992,228,435,914,961,196,986,985,068,179,
897,872,271,686,241,117,594,097,657,984,148,701,038,797,983,745,738,526,349,
071,929,255,664,620,877,939,111,055,679,268,265,176,428,981,388,939,967,277,
893,635,596,015,601,368,396,473,602,693,195,834,789,651,782,581,435,596,159,
597,621,498,797,952,309,965,485,894,652,104,342,451,333,150,314,603,319,330,
443,814,277,293,985,839,180,205,814,896,854,513,404,450,126,740,609,780,195,
846,547,445,572,541,669,832,781,798,357,734,825,742,937,343,304,219,735,142,
820,507,787,495,145,641,413,959,024,843,918,572,250,183,318,178,354,772,449,
731,257,451,717,786,825,121,646,888,454,166,170,329,338,308,049,102,703,769,
691,581,696,167,650,267,558,691,754,868,582,057,783,733,763,541,698,993,383,
405,139,344,006,941,072,617,788,195,260,565,888,447,837,169,798,696,254,283,
741,626,903,493,832,272,666,601,765,934,733,341,899,430,161,754,573,655,842,
370,912,123,058,077,218,324,993,735,986,199,229,583,850,537,209,698,791,026,
651,282,855,968,540,293,796,808,514,065,411,804,656,796,943,547,447,198,581,
358,356,668,959,043,440,389,145,520,222,716,873,147,291,499,160,248,594,881,
263,603,948,176,815,745,201,010,667,449,511,832,756,714,412,087,546,973,695,
586,243,009,361,453,236,744,770,654,381,591,560,792,506,193,414,892,858,825,
130,507,678,080,031,933,503,498,357,817,814,137,417,111,401,643,571,301,056,
743,825,004,621,171,435,377,231,058,096,404,957,448,750,838,519,106,749,421,
755,589,714,406,495,248,524,475,998,019,401,417,030,543,872,018,227,312,686,
392,457,235,616,043,672,143,491,132,061,864,790,666,660,881,650,245,639,994,
613,676,916,230,073,030,147,726,164,524,559,957,911,510,797,054,145,824,311,
064,868,259,968,083,248,798,460,166,161,003,316,975,306,009,274,147,819,191,
194,574,071,753,080,687,922,761,193,594,886,549,901,854,765,771,185,625,346,
833,132,035,330,773,057,644,058,697,099,525,811,668,313,241,901,975,898,261,
580,092,177,246,572,467,257,633,426,437,240,480,135,283,596,035,747,172,238,
008,814,509,435,525,137,991,353,493,847,898,054,855,260,369,081,265,052,108,
513,514,973,488,566,964,293,504,666,589,109,869,996,260,102,451,817,574,423,
009,048,904,066,943,681,649,070,768,696,275,342,060,848,718,964,392,229,529,
342,086,146,160,647,190,300,060,805,372,779,796,743,847,750,066,801,785,213,
938,079,432,715,439,296,076,499,576,050,555,963,913,982,257,858,922,640,791,
456,567,555,973,338,566,592,949,933,850,916,035,919,152,724,083,335,733,387,
280,645,843,638,096,790,061,401,068,268,415,013,727,506,271,157,107,063,302,
747,133,636,638,510,731,485,516,921,179,466,391,361,389,631,716,539,832,071,
672,729,324,287,434,034,184,862,311,031,202,131,469,633,132,180,673,761,892,
950,207,604,986,772,827,782,010,111,367,314,342,622,947,944,366,887,604,362,
140,980,300,009,049,084,167,258,790,434,930,043,567,549,541,509,790,269,878,
092,550,740,536,945,492,784,307,885,953,134,698,725,839,664,096,724,961,739,
271,689,413,688,816,735,277,583,807,591,544,403,226,607,960,290,476,721,446,
071,438,105,309,459,151,938,462,849,930,960,868,278,162,838,074,972,633,533,
735,069,015,015,044,178,873,913,293,255,531,858,376,686,069,041,338,906,660,
176,465,742,725,448,251,657,930,893,204,228,890,196,836,841,274,007,459,694,
582,336,678,554,459,622,738,866,215,848,698,974,561,340,537,605,704,976,182,
571,957,707,864,783,082,549,684,565,667,281,291,249,335,713,384,745,821,914,
355,260,293,290,045,845,822,124,820,204,927,613,563,056,645,251,885,523,561,
439,808,134,352,497,880,987,464,183,595,417,195,018,296,495,694,461,079,115,
540,320,678,188,196,779,287,012,395,287,687,198,586,522,187,400,141,000,747,
287,209,817,815,484,393,955,023,532,017,924,458,282,764,399,314,006,296,602,
138,775,818,407,090,498,333,214,219,563,966,025,284,451,724,768,126,599,149,
799,417,051,133,925,055,098,599,087,246,967,291,574,210,015,432,691,350,687,
163,391,247,074,296,360,251,302,588,767,786,257,480,400,472,444,776,317,577,
814,838,912,111,250,829,205,727,807,069,505,613,683,292,480,042,662,715,496,
469,860,752,180,779,835,302,612,680,028,868,210,998,913,976,818,333,784,481,
285,100,261,955,487,519,326,306,475,871,672,147,181,901,832,092,639,508,102,
257,592,810,772,664,890,445,756,071,022,268,766,725,273,662,692,693,374,488,
580,308,365,264,095,747,753,286,436,988,970,005,717,436,546,161,072,244,315,
531,638,855,047,143,531,080,067,089,855,666,118,204,371,750,771,262,937,201,
142,291,657,452,431,106,880,829,730,800,316,080,187,702,495,035,972,851,880,
544,684,706,585,940,081,840,147,986,662,541,260,629,842,143,822,777,435,589,
855,778,432,822,718,550,642,468,351,275,430,488,914,885,610,890,604,152,719,
740,770,939,442,957,799,067,443,832,585,262,429,229,115,112,592,359,887,233,
744,836,457,229,485,449,474,787,806,515,389,091,572,484,739,560,005,667,486,
333,443,565,728,146,940,919,279,890,740,131,789,606,203,496,138,355,756,554,
875,200,347,275,169,384,978,604,299,720,493,553,814,507,708,883,772,390,359,
182,488,778,321,141,426,999,488,472,227,950,217,228,566,263,912,384,031,941,
914,598,292,401,575,840,863,663,065,073,284,561,996,508,722,840,707,938,335,
512,043,413,996,597,377,320,083,046,403,577,606,017,080,165,730,282,699,852,
252,033,086,832,475,850,688,319,682,344,058,486,704,911,916,371,122,335,186,
448,153,989,726,374,719,321,643,745,208,115,125,911,644,410,622,077,305,612,
887,135,240,645,244,808,869,481,899,801,174,705,702,707,869,235,467,959,077,
875,224,963,925,448,441,133,620,722,190,032,451,478,975,823,633,432,268,625,
253,717,321,531,476,009,856,299,662,947,070,980,848,778,031,210,695,547,284,
516,628,548,474,829,572,727,560,240,129,033,797,803,958,368,589,426,750,026,
371,901,196,400,673,710,181,459,721,420,842,746,950,839,234,755,828,113,950,
832,524,792,610,940,521,906,614,446,702,432,090,276,728,053,426,658,487,202,
608,502,280,892,028,211,406,216,312,402,634,099,787,565,678,542,003,318,554,
297,625,837,365,969,040,991,744,548,944,539,769,006,899,640,140,093,035,757,
453,551,107,512,952,809,702,594,738,553,464,229,970,232,403,774,960,493,421,
860,697,687,079,935,918,604,951,578,365,177,758,915,151,113,124,914,421,267,
705,977,058,845,729,869,140,273,165,958,963,582,372,660,773,499,815,655,374,
776,804,827,397,734,258,136,002,873,308,080,727,637,697,177,613,699,064,029,
171,326,792,874,064,548,095,209,114,228,787,495,632,528,351,749,456,218,223,
142,361,903,075,460,437,305,805,705,443,629,404,486,717,475,181,226,429,835,
949,637,938,550,082,056,430,675,279,849,762,027,604,063,412,044,532,195,914,
402,394,327,174,504,832,152,111,829,659,652,421,749,715,373,042,629,799,240,
840,767,960,125,739,297,371,447,199,836,627,976,776,218,666,170,053,161,826,
618,958,179,982,170,447,011,533,625,204,386,356,633,525,013,119,319,314,654,
647,703,390,674,673,392,753,420,820,895,650,644,617,002,209,661,959,067,821,
076,285,074,966,874,212,435,773,493,610,881,291,707,224,604,027,068,160,132,
074,720,150,060,317,319,806,316,297,691,669,999,555,791,794,447,989,254,306,
271,326,410,795,950,646,152,588,213,772,205,880,541,540,065,568,507,409,151,
493,100,334,500,568,834,561,561,431,539,305,249,594,816,053,787,101,922,201,
130,913,016,329,061,011,835,162,465,961,313,023,365,447,976,227,397,082,422,
442,661,267,051,860,499,566,173,075,492,103,281,160,802,902,482,700,355,182,
677,838,254,746,491,365,787,367,009,079,080,190,149,376,294,039,172,664,773,
493,544,098,887,444,913,251,574,074,481,016,586,215,387,056,130,233,903,391,
104,958,168,170,956,687,119,412,629,445,013,757,881,521,485,288,394,316,944,
432,744,636,133,684,911,447,147,186,455,037,098,891,487,304,563,297,656,418,
238,766,059,238,415,517,685,464,998,067,896,068,128,970,274,432,155,333,038,
323,550,280,154,310,383,218,726,372,128,421,421,329,488,820,779,648,871,594,
014,084,723,807,021,444,856,575,642,542,681,475,253,699,611,097,011,083,195,
894,093,443,909,254,016,217,540,130,128,949,371,807,060,422,290,365,356,646,
755,885,648,836,389,089,649,809,945,186,946,890,868,009,377,258,053,072,618,
329,707,431,181,078,845,214,456,028,159,065,487,165,190,988,388,395,915,569,
464,915,278,021,950,328,950,835,787,126,194,150,777,873,692,418,165,964,060,
404,735,343,997,230,319,411,969,556,704,708,893,075,800,690,907,253,735,997,
302,331,131,543,773,248,483,151,399,058,798,875,648,245,282,860,471,145,438,
644,275,163,861,764,055,901,567,131,616,358,477,667,153,384,287,326,932,190,
285,338,865,311,660,445,691,734,910,885,740,263,790,533,092,525,328,260,662,
991,720,669,925,076,865,769,828,847,189,961,651,354,100,922,128,754,997,905,
231,801,662,231,164,796,286,369,537,648,116,499,557,951,819,630,963,230,964,
361,799,399,459,617,947,151,962,677,413,299,027,267,328,547,455,220,051,405,
560,990,103,656,326,048,817,270,148,643,872,790,590,405,801,252,246,516,709,
220,141,534,820,484,112,093,047,903,361,779,080,980,012,665,885,451,006,769,
798,250,807,393,382,035,699,867,431,627,698,977,652,832,741,867,880,092,970,
771,323,142,991,387,859,888,070,447,793,358,453,095,582,854,968,509,820,220,
941,416,209,813,516,746,379,468,362,960,732,762,575,500,754,938,476,885,423,
336,112,379,070,915,113,320,843,111,861,992,329,813,310,764,184,137,872,863,
706,966,179,165,786,419,715,474,024,149,125,819,573,197,254,791,865,623,597,
849,473,833,442,730,641,653,138,043,178,660,882,987,030,112,854,117,030,986,
306,385,242,096,297,671,546,171,460,070,771,163,851,447,667,056,171,614,256,
351,028,288,820,146,946,086,003,595,698,158,742,168,277,233,780,973,469,489,
532,687,818,170,954,213,771,259,666,255,309,898,252,498,608,950,097,885,089,
383,545,505,528,665,643,755,065,174,781,838,816,703,751,123,791,418,209,348,
271,948,202,303,044,912,660,301,492,532,173,833,591,831,705,898,975,243,975,
962,110,218,881,887,514,135,101,695,107,047,223,455,909,327,610,924,651,605,
897,726,597,403,501,350,202,969,299,257,129,359,609,453,210,456,956,766,795,
944,260,016,832,498,583,510,181,157,162,896,381,870,035,135,582,972,624,807,
680,919,953,992,195,673,635,778,258,716,138,040,845,979,032,046,423,397,310,
156,586,352,503,573,766,511,702,161,611,694,417,154,641,467,597,097,096,235,
478,000,916,208,153,450,412,527,481,103,000,432,612,742,186,030,807,377,250,
347,490,951,328,046,558,752,386,612,474,158,380,566,908,194,441,089,525,175,
268,112,111,572,976,141,119,914,166,222,395,574,844,195,810,648,581,904,676,
395,685,222,466,263,643,247,027,001,688,963,708,123,446,442,363,693,154,679,
946,495,405,035,718,634,565,502,855,430,108,640,611,134,094,368,464,612,327,
676,645,834,180,179,820,493,870,050,856,278,342,731,497,166,927,477,463,060,
364,373,721,436,833,384,562,491,450,440,363,333,034,629,413,006,194,441,314,
615,609,189,093,347,667,410,700,081,472,642,636,278,287,622,940,095,235,505,
713,978,817,427,319,618,120,917,889,254,138,701,012,743,468,487,244,561,560,
696,920,584,397,546,196,015,360,362,709,606,278,998,267,608,051,184,524,999,
988,358,073,805,360,260,963,852,189,953,400,966,063,731,331,616,441,243,112,
811,540,347,611,742,795,250,240,613,665,488,908,882,487,972,784,894,546,858,
258,839,878,664,399,335,257,684,484,637,678,220,576,758,104,807,650,376,218,
119,569,019,755,942,646,852,128,562,501,623,735,433,147,337,069,421,668,119,
210,527,559,032,078,009,234,852,979,351,253,320,414,774,379,680,466,340,167,
011,727,912,108,793,468,877,624,287,340,227,012,621,841,753,020,697,075,960,
161,578,907,947,829,148,149,428,818,913,514,891,872,938,595,543,875,676,365,
756,282,896,343,871,303,427,217,058,220,526,443,922,376,985,719,299,464,263,
479,824,737,189,099,655,343,865,171,332,861,088,230,120,361,825,643,167,525,
848,121,923,430,696,620,130,286,432,788,615,470,495,156,840,741,773,545,636,
095,944,953,892,574,923,522,832,564,932,785,078,036,828,392,751,084,154,533,
131,414,420,565,507,538,442,194,586,563,479,122,105,013,948,634,572,868,356,
496,241,750,244,685,977,549,186,584,348,783,534,806,417,721,941,482,262,616,
627,690,527,507,801,072,928,397,707,072,460,430,554,905,036,186,735,098,912,
115,734,709,368,584,184,068,843,187,888,288,410,942,741,133,298,561,264,552,
564,912,121,474,542,587,114,808,048,455,948,582,479,159,694,192,205,707,059,
097,323,078,592,277,068,667,877,360,625,810,171,693,574,051,108,647,075,836,
600,119,561,050,299,894,913,602,898,444,245,526,326,163,100,295,524,710,925,
740,032,812,011,000,141,510,806,038,975,324,597,513,779,674,480,362,500,403,
859,764,439,735,850,209,250,751,469,499,888,777,193,693,462,935,616,225,949,
676,738,528,496,682,483,452,117,971,385,753,368,217,661,199,728,976,823,430,
229,828,753,307,097,987,301,286,332,862,109,806,452,409,483,061,481,679,778,
466,333,870,260,071,118,334,412,541,387,541,970,840,033,936,871,980,153,738,
306,029,490,268,628,371,020,704,032,519,504,476,130,038,847,201,771,210,494,
733,346,752,119,187,423,846,324,529,484,456,552,375,376,918,352,098,284,789,
989,859,212,993,397,034,960,278,342,396,037,972,670,293,467,028,029,621,069,
799,755,545,215,323,987,423,540,515,451,238,015,027,918,482,208,910,177,505,
883,020,794,508,508,765,083,325,893,827,355,107,804,406,683,753,088,282,564,
257,388,398,790,962,365,390,909,197,435,416,543,534,572,680,195,973,656,418,
092,367,042,639,499,164,797,936,985,445,766,500,847,473,818,940,999,338,228,
011,380,853,071,254,527,733,462,489,769,999,434,033,441,726,415,758,502,250,
279,159,982,293,720,137,847,617,536,848,939,122,231,644,432,396,369,237,159,
177,940,877,835,074,458,845,512,048,685,100,204,852,152,601,276,267,650,341,
320,540,688,370,065,947,398,668,931,222,091,476,064,708,892,304,710,499,995,
002,667,461,713,077,547,162,075,057,433,091,675,353,482,094,135,657,587,906,
541,242,907,320,826,156,165,661,804,173,013,615,590,884,329,433,243,048,116,
229,892,762,077,410,984,396,108,292,692,759,821,959,180,836,621,817,347,608,
428,639,004,220,309,016,148,883,950,854,343,525,231,855,089,057,274,214,795,
816,071,952,171,194,611,215,341,533,533,773,788,835,225,079,123,357,912,613,
612,180,142,949,052,320,473,664,017,303,865,455,993,017,107,668,953,616,452,
491,539,734,230,625,818,562,997,098,317,162,950,139,017,479,877,240,838,804,
354,513,045,946,628,326,125,982,236,278,682,853,821,500,211,018,247,322,792,
965,831,465,829,801,345,332,713,189,677,413,826,158,698,352,828,447,335,440,
186,828,975,131,475,705,538,690,553,348,590,320,047,008,690,620,834,452,849,
580,551,900,209,180,529,941,045,529,626,416,291,644,230,238,330,101,005,393,
730,345,300,458,652,709,879,483,588,305,055,192,304,789,008,490,231,511,204,
170,423,476,682,196,122,785,195,757,245,158,239,111,156,948,836,059,656,335,
638,715,697,673,585,394,671,746,188,610,393,882,151,909,772,992,526,627,566,
681,541,960,151,455,480,139,229,287,688,899,049,674,551,709,586,244,788,457,
443,433,231,481,380,339,622,985,880,564,433,259,650,500,245,158,311,550,223,
906,515,492,627,545,468,423,520,951,722,849,145,691,571,157,932,310,749,336,
320,633,508,982,255,615,500,686,818,296,036,502,689,435,839,102,237,798,922,
052,916,338,285,783,089,896,630,761,304,375,374,106,892,267,954,159,204,834,
677,793,737,392,639,677,968,021,035,765,754,585,997,662,556,078,141,626,129,
437,865,794,914,460,060,611,668,516,465,867,593,114,312,236,698,023,782,167,
886,803,387,342,442,953,859,063,453,759,508,792,766,366,238,950,813,190,742,
606,155,004,230,252,747,602,698,474,639,762,073,727,743,979,906,263,156,989,
266,054,309,811,229,314,833,647,289,483,451,266,924,150,491,633,768,829,464,
379,265,302,410,724,614,869,106,823,593,786,671,937,496,351,261,165,143,678,
177,872,211,096,134,437,799,780,624,207,820,506,305,017,499,089,904,633,493,
940,310,137,418,975,454,899,170,469,848,641,316,910,999,333,061,807,535,571,
486,497,806,443,743,815,269,448,875,905,837,046,450,141,096,150,178,601,317,
076,541,644,828,984,001,034,375,796,442,038,500,324,687,580,938,084,875,149,
241,444,116,168,940,516,845,287,136,179,635,576,695,101,457,816,874,413,923,
162,942,859,653,260,971,551,647,564,113,209,078,705,593,417,424,707,028,042,
207,327,874,577,293,565,299,447,444,737,556,607,299,693,891,083,702,106,916,
168,408,224,945,179,395,827,979,350,959,966,863,767,110,126,436,249,732,271,
695,090,147,803,404,618,769,178,719,131,015,143,894,046,203,440,749,868,072,
002,346,015,419,397,913,699,499,504,448,277,037,383,726,832,302,560,648,675,
164,903,515,168,435,270,318,071,499,209,579,041,208,665,861,024,023,302,151,
415,895,474,262,976,794,344,820,580,328,056,839,728,920,208,319,547,260,473,
996,565,890,168,904,288,060,928,686,970,760,333,842,454,182,265,785,061,961,
277,026,438,991,511,052,135,287,240,851,669,682,795,526,771,466,689,307,472,
964,273,271,881,298,929,646,900,634,975,003,939,890,251,680,264,016,132,527,
963,835,661,743,193,077,254,548,944,444,979,732,513,152,746,078,705,254,960,
556,711,278,090,999,704,764,958,648,204,425,523,833,516,046,453,582,173,172,
909,125,808,833,378,037,096,547,466,518,093,533,666,235,594,453,311,283,400,
552,902,115,559,301,394,953,578,064,424,533,075,648,922,378,576,313,279,582,
620,204,724,465,427,857,163,622,271,990,439,551,957,183,038,403,026,488,215,
802,346,733,939,750,831,815,673,241,901,036,745,703,925,374,603,411,268,231,
848,347,550,192,085,739,082,392,394,426,256,899,822,640,781,991,620,287,914,
909,022,063,352,119,058,231,317,660,931,208,229,882,225,058,991,627,016,829,
677,883,926,690,225,740,783,474,123,559,434,928,308,273,976,066,265,720,647,
378,880,023,469,582,789,066,331,544,139,771,396,957,855,988,090,385,877,576,
830,881,896,033,567,082,479,876,291,640,405,395,648,006,490,742,596,025,603,
177,734,200,541,249,509,025,742,951,526,054,252,414,126,240,244,994,631,795,
914,467,139,587,917,319,045,298,365,894,700,331,276,108,071,912,888,345,489,
005,803,719,414,123,360,437,536,755,154,770,321,250,523,246,972,986,399,708,
844,817,249,633,278,058,264,883,497,844,433,430,089,936,628,762,874,028,921,
269,716,402,687,529,239,717,495,859,115,068,591,560,735,864,348,558,885,111,
852,875,651,230,969,798,040,376,503,340,742,823,993,981,025,622,380,907,380,
552,680,278,147,643,440,238,435,699,317,877,273,777,047,145,243,147,172,618,
321,408,717,265,790,445,298,500,040,808,446,271,468,593,607,863,016,706,964,
945,030,006,653,402,675,260,791,174,780,520,589,937,744,879,784,717,203,934,
158,738,906,643,326,090,041,038,645,276,870,723,207,653,382,970,218,396,088,
562,049,323,718,794,585,434,232,297,151,367,988,789,537,089,274,120,474,181,
272,690,791,536,450,262,586,845,035,216,704,385,767,443,838,103,308,155,182,
350,935,414,309,639,824,159,358,403,344,034,372,128,893,987,610,416,620,561,
924,618,377,928,993,793,919,369,175,047,083,737,183,337,120,896,859,377,064,
006,412,379,509,445,833,957,130,624,386,978,462,173,054,639,016,786,687,472,
177,123,746,295,279,219,220,602,064,380,442,442,112,258,516,821,216,292,019,
719,086,413,729,255,329,692,786,936,426,069,921,734,273,842,806,575,239,011,
023,356,977,605,428,963,348,559,273,236,887,796,248,641,803,097,644,813,803,
573,413,715,196,699,179,599,062,287,839,593,477,008,334,929,707,116,846,659,
877,854,286,108,350,451,950,204,197,886,847,034,304,848,728,134,517,854,224,
716,233,146,661,563,449,807,465,167,918,665,931,708,441,712,774,868,372,448,
133,814,281,579,333,616,233,296,377,696,226,290,909,259,640,529,697,192,051,
799,141,951,745,488,482,280,823,562,750,047,390,080,565,600,831,052,668,194,
210,279,490,248,690,882,938,039,508,074,953,985,660,133,274,060,659,865,514,
329,293,143,174,566,549,536,300,598,163,892,118,757,001,053,894,853,360,013,
886,621,583,461,841,743,640,929,236,474,678,854,611,086,516,851,267,702,818,
268,438,100,376,720,921,169,100,926,400,481,588,390,846,287,074,875,033,070,
471,153,036,841,844,418,180,662,317,632,553,023,682,725,158,831,583,203,665,
808,874,192,803,554,207,932,873,425,959,028,320,043,097,190,014,021,243,551,
180,738,663,182,985,454,599,060,332,786,279,634,547,305,766,430,403,465,845,
064,384,892,541,981,689,068,273,929,185,366,814,058,140,969,979,927,850,640,
304,095,646,647,607,588,782,210,277,418,372,897,493,906,731,041,012,618,982,
191,912,582,959,599,969,708,527,543,970,515,639,563,513,473,474,595,403,439,
452,835,223,096,295,822,351,274,679,192,416,148,362,557,124,493,541,249,404,
478,524,241,161,263,934,541,270,741,312,621,312,423,142,409,106,137,499,078,
137,792,654,246,015,961,384,745,908,471,972,375,859,832,024,468,133,806,973,
491,431,223,886,535,095,520,658,661,648,054,940,032,275,231,652,151,082,837,
527,812,067,155,505,552,521,808,697,066,448,997,871,314,898,308,927,860,328,
700,497,712,907,000,210,130,012,435,630,311,445,912,013,971,681,908,271,668,
313,630,739,384,204,205,903,961,329,119,282,791,292,909,888,531,868,958,871,
732,502,222,944,841,676,244,513,550,603,562,700,162,604,908,456,038,109,655,
818,205,328,866,113,766,336,114,973,693,315,180,038,111,877,842,857,575,380,
242,284,097,261,431,024,700,931,863,062,022,636,076,174,833,645,942,169,715,
388,529,552,753,584,980,333,966,961,211,789,144,092,749,355,079,941,037,450,
474,849,944,585,425,799,796,513,670,120,709,224,574,818,568,122,195,196,310,
646,281,704,677,445,070,008,328,754,067,209,909,913,472,903,147,830,371,275,
252,217,576,987,403,616,105,847,006,810,332,292,022,733,479,914,219,319,328,
055,492,122,811,338,797,303,374,554,658,469,917,173,780,111,717,020,003,483,
859,870,372,724,813,499,704,708,404,089,461,552,174,179,141,120,682,712,430,
239,036,546,785,935,768,263,390,407,920,310,689,036,736,109,137,110,484,593,
914,744,946,099,832,598,204,124,043,616,599,329,892,040,850,541,699,542,076,
621,817,967,993,633,579,031,860,043,058,935,640,597,023,095,256,203,851,001,
562,742,729,657,252,632,250,757,897,934,911,895,862,370,464,172,918,115,950,
966,814,364,956,531,816,088,090,318,586,102,981,290,275,285,885,521,763,538,
918,940,394,584,978,861,711,488,274,612,054,859,277,570,309,448,116,197,701,
275,449,280,970,477,181,710,263,352,847,879,285,259,002,013,200,227,109,916,
496,948,127,473,535,387,402,574,221,086,203,768,094,549,278,363,413,461,034,
665,003,299,376,580,379,054,973,853,376,132,310,773,880,253,209,939,506,012,
782,901,385,324,333,754,485,805,905,917,595,240,606,051,091,960,349,718,657,
493,664,282,900,490,649,276,404,615,153,935,421,892,216,829,823,939,925,314,
001,459,113,862,235,762,469,370,110,789,202,622,406,645,271,612,670,769,802,
925,104,868,481,858,016,432,010,660,857,776,816,787,844,841,747,961,091,518,
703,338,797,873,583,522,424,505,408,027,704,820,014,724,867,510,176,865,640,
777,108,846,122,989,503,721,270,846,941,133,249,576,461,877,429,077,740,992,
724,229,934,414,745,409,690,756,615,002,063,152,087,728,047,629,574,852,422,
812,186,913,957,452,971,883,329,913,184,892,084,683,167,137,662,009,967,199,
039,781,053,632,567,981,367,719,554,927,857,576,017,908,975,843,644,845,877,
743,803,571,946,041,880,031,039,077,736,029,699,613,215,008,922,264,933,784,
303,116,836,154,413,759,528,980,917,266,508,878,030,157,732,548,371,679,878,
196,044,212,109,313,534,354,910,962,696,947,629,521,783,610,179,310,783,901,
467,497,934,421,093,588,685,320,842,106,231,619,258,771,285,552,885,150,616,
558,833,597,395,871,123,486,626,423,336,769,829,288,498,770,415,617,744,240,
786,950,742,490,706,168,059,805,687,477,230,327,686,180,936,013,832,778,353,
764,976,819,536,638,108,664,594,791,981,975,840,436,326,155,070,061,011,206,
447,949,208,661,933,168,510,782,108,561,705,296,795,219,602,805,529,805,750,
120,547,165,220,218,629,978,446,769,818,659,819,678,183,868,106,156,978,387,
901,888,232,534,478,372,623,918,970,439,493,715,298,709,847,939,188,976,545,
785,198,542,759,525,312,186,477,811,250,269,293,407,208,893,827,875,225,312,
831,138,245,477,126,998,470,750,590,452,515,772,702,455,716,058,465,427,472,
402,398,653,806,180,016,170,479,197,591,313,142,252,830,103,292,776,906,088,
821,126,267,117,734,364,459,140,677,101,689,284,761,991,130,859,369,155,428,
495,776,655,842,130,682,626,728,304,001,639,471,109,487,735,445,702,595,799,
460,189,100,423,800,367,318,085,154,006,995,204,381,399,753,903,425,930,717,
228,432,021,831,399,643,506,674,422,976,430,302,053,793,035,820,572,097,778,
491,560,391,221,602,955,772,771,297,163,057,999,765,104,289,732,312,271,732,
111,695,004,605,049,219,897,823,637,415,771,195,853,441,551,046,415,091,073,
797,035,784,172,803,200,396,890,031,219,643,534,359,063,631,775,513,959,761,
977,788,932,107,380,046,919,291,909,962,278,238,356,864,499,899,741,794,513,
227,141,693,797,738,141,091,676,849,865,256,957,938,073,628,755,025,974,525,
457,663,813,636,270,925,412,323,825,223,937,104,297,572,669,389,334,134,541,
467,216,921,154,361,396,200,592,193,200,253,671,065,660,104,465,592,302,002,
816,803,840,543,207,919,123,509,809,737,074,343,125,056,874,105,453,580,574,
743,208,519,118,690,600,701,740,368,918,663,104,267,712,640,796,661,717,084,
545,600,246,831,715,907,592,333,674,870,957,673,014,064,635,905,936,080,966,
343,809,383,772,584,923,393,867,250,819,302,129,636,364,849,006,336,118,365,
650,041,451,572,853,094,973,666,390,806,554,349,147,997,048,816,306,634,643,
744,644,755,746,106,602,142,965,060,354,655,838,421,515,029,126,745,416,284,
574,199,412,412,098,740,321,395,143,552,783,842,774,453,185,530,565,482,456,
740,365,692,868,764,268,504,983,628,112,861,554,120,176,182,787,606,757,120,
032,280,591,518,473,641,835,080,915,217,938,576,918,037,903,418,847,994,951,
349,200,541,631,198,100,702,803,267,236,374,193,302,403,274,481,348,346,723,
084,288,348,199,866,533,039,235,045,867,815,487,258,531,113,172,311,930,951,
826,529,937,229,958,473,566,693,158,674,082,782,186,491,952,518,865,202,657,
453,783,877,926,727,180,678,356,737,278,502,169,820,283,984,467,634,770,964,
705,076,048,852,889,922,936,472,166,652,101,650,245,972,832,977,304,137,430,
815,367,474,404,599,442,082,852,410,440,519,624,514,724,593,327,946,262,624,
697,325,415,628,974,812,908,924,573,528,557,451,662,221,895,168,988,510,276,
654,628,564,180,505,411,712,628,178,130,965,148,970,657,473,474,237,974,832,
632,500,220,692,096,567,119,969,708,132,845,762,874,814,482,524,045,004,033,
962,523,320,654,384,068,341,144,237,428,724,778,440,379,333,142,155,525,524,
480,669,985,366,261,440,465,659,735,390,372,080,647,174,055,652,107,793,180,
082,113,648,383,820,276,291,823,718,870,776,719,178,699,294,340,466,869,975,
336,412,687,069,047,200,553,193,022,796,687,257,961,133,359,741,013,575,006,
977,953,699,087,370,762,085,976,234,664,694,317,686,705,838,496,947,872,535,
163,004,317,703,162,217,546,367,669,311,464,259,225,971,405,535,367,299,004,
346,070,156,092,724,962,058,649,957,626,483,057,462,857,916,592,170,591,043,
686,120,442,452,253,336,326,602,915,971,928,222,750,314,624,147,439,173,849,
276,440,963,045,085,780,777,626,229,507,721,677,578,934,769,592,632,523,546,
727,234,330,846,419,558,782,782,656,632,794,419,848,199,719,610,580,077,946,
129,864,892,671,728,342,126,541,582,271,665,481,401,548,701,831,464,802,105,
747,373,145,272,430,898,677,426,963,757,767,657,991,231,760,634,836,219,427,
821,182,182,334,506,405,941,174,444,032,679,754,631,227,615,060,975,238,016,
275,516,935,233,957,379,444,652,939,300,555,377,076,697,197,310,101,600,666,
070,204,989,629,362,547,307,548,730,276,897,405,308,535,559,458,351,991,722,
989,569,058,530,700,223,501,640,701,422,114,795,141,864,188,754,724,579,331,
507,252,870,915,818,245,536,440,147,195,283,976,061,879,910,473,357,721,306,
767,818,071,212,161,052,498,624,751,229,538,068,359,384,098,268,581,791,042,
206,947,461,375,620,448,725,319,743,956,200,269,252,288,953,056,831,470,066,
902,595,101,955,481,155,992,915,327,087,358,999,712,122,242,157,686,022,509,
195,298,230,193,864,075,124,143,300,444,786,133,273,361,126,094,622,760,109,
461,968,331,526,456,518,724,174,334,255,339,131,943,873,682,797,723,047,928,
120,060,834,165,958,024,949,392,640,818,865,892,593,180,785,279,519,216,668,
129,709,585,811,744,539,168,171,078,182,519,618,934,456,635,527,577,567,483,
181,817,563,097,483,988,596,664,426,978,323,765,611,153,886,342,618,978,512,
891,517,137,370,830,984,452,344,280,460,884,642,671,867,153,957,714,825,428,
053,617,153,648,162,999,748,513,895,620,363,174,420,505,254,428,710,395,260,
751,525,292,482,410,083,355,883,835,005,700,533,964,896,067,460,967,192,087,
165,870,195,122,405,891,650,530,999,454,159,848,304,701,332,668,666,988,276,
834,390,763,066,790,792,706,782,641,740,850,285,921,792,453,654,722,365,322,
410,644,597,907,870,710,568,125,689,491,004,485,947,158,671,073,419,876,318,
783,848,020,319,071,993,414,806,692,857,988,449,114,778,855,666,071,640,968,
224,789,493,995,115,948,713,489,757,733,935,448,550,528,973,674,867,519,594,
662,377,406,824,465,156,628,883,700,256,178,612,057,636,101,099,930,921,301,
506,436,041,472,074,610,412,891,614,758,657,249,536,995,642,071,578,273,790,
183,872,220,030,696,196,818,504,941,093,128,305,835,078,986,469,251,257,841,
183,829,452,714,174,445,625,291,067,546,535,428,599,742,530,426,521,334,248,
400,211,464,848,881,916,228,851,127,413,801,572,735,679,236,214,037,580,309,
278,754,924,881,843,341,541,057,133,601,787,225,100,095,918,888,730,765,479,
407,923,396,670,616,771,623,080,956,065,740,155,314,527,975,418,643,713,861,
876,825,240,164,825,394,575,623,914,949,522,711,476,699,127,115,606,751,977,
394,735,388,072,795,413,432,671,855,994,963,113,890,456,897,843,243,737,213,
719,238,671,912,146,287,231,990,253,489,845,928,088,980,828,376,959,986,854,
547,328,055,101,131,078,069,385,912,210,074,383,015,904,622,523,160,346,769,
615,982,254,916,078,519,904,175,370,653,339,734,767,120,912,663,820,334,617,
508,027,805,719,621,597,220,678,067,157,189,490,283,183,471,798,661,809,629,
920,869,866,294,258,624,655,393,423,291,036,487,877,163,234,950,910,325,792,
445,903,070,375,354,134,799,390,737,701,614,482,488,091,112,531,061,757,826,
399,227,500,787,384,563,845,784,585,555,647,430,488,445,954,746,228,190,034,
276,320,449,624,804,915,953,490,354,463,296,088,427,300,714,140,196,899,439,
035,327,083,659,413,288,904,141,880,288,810,705,831,401,873,158,285,796,450,
877,845,804,545,076,795,313,148,653,021,386,610,299,185,054,782,797,678,112,
884,788,876,668,977,795,026,155,002,016,701,045,482,046,197,171,535,997,657,
228,969,826,244,952,033,506,180,978,044,121,612,718,621,891,299,496,876,892,
589,053,224,552,493,123,579,460,218,854,753,673,945,303,808,054,053,668,729,
782,658,721,773,929,018,030,227,837,881,615,836,212,967,161,943,622,004,786,
481,224,036,640,833,988,197,111,666,708,658,882,123,762,098,092,679,788,210,
238,465,304,830,825,202,659,700,755,213,282,790,408,464,917,093,082,166,374,
493,314,376,404,336,166,671,100,709,437,592,193,996,075,858,077,783,889,674,
479,489,630,789,375,052,018,703,692,436,015,386,149,650,609,914,151,765,990,
523,952,064,209,636,731,128,253,344,498,531,554,203,649,247,749,403,532,904,
740,115,037,322,264,243,876,825,076,732,071,194,581,281,521,202,716,504,374,
173,273,798,826,005,665,205,593,354,765,604,361,489,556,612,618,190,597,038,
110,259,992,411,699,947,239,474,922,008,905,843,565,455,477,998,350,609,096,
372,346,123,847,243,012,027,172,441,371,987,986,732,636,329,638,799,793,743,
262,049,761,540,712,932,203,150,789,457,406,364,210,017,203,939,837,184,322,
705,875,369,107,287,291,715,181,123,044,361,204,903,817,019,218,906,031,391,
722,876,844,530,776,014,765,057,182,241,563,057,909,545,538,945,789,869,096,
477,628,562,433,496,525,135,973,213,959,379,431,193,148,486,288,790,704,997,
822,798,069,291,620,363,991,121,808,732,005,449,746,159,922,448,770,323,186,
371,518,215,983,733,469,433,612,415,886,050,420,030,502,967,954,833,231,780,
219,194,460,741,358,884,272,155,538,170,232,618,163,181,792,515,719,998,918,
270,636,988,252,358,175,794,167,031,768,805,294,267,747,834,668,583,482,917,
370,448,410,544,521,470,846,555,482,812,635,725,789,212,765,321,770,265,953,
650,271,050,333,712,650,715,469,722,307,354,209,286,634,966,988,139,014,003,
146,351,187,832,206,415,633,308,389,386,839,340,604,656,096,700,574,996,481,
638,456,621,688,505,543,460,678,089,202,316,632,508,169,754,568,352,987,875,
485,430,948,127,275,891,253,235,209,826,628,484,136,873,509,376,079,252,646,
625,176,811,940,976,476,081,825,490,338,002,747,803,546,835,468,243,357,311,
045,295,897,817,615,139,327,385,212,289,525,661,919,410,559,750,643,018,476,
252,666,320,432,006,452,546,691,740,753,186,361,466,732,077,167,108,411,265,
699,331,745,651,187,873,789,393,177,456,486,655,968,196,849,946,207,389,806,
884,820,426,704,808,152,694,819,787,945,170,086,030,481,962,481,230,796,935,
409,347,134,197,527,889,920,777,049,819,541,196,402,754,107,782,476,945,163,
792,806,643,026,646,632,716,676,741,094,653,197,817,534,810,426,424,435,155,
468,697,726,522,347,296,921,993,475,880,908,676,118,297,834,075,079,837,392,
684,975,809,646,646,271,842,915,512,985,386,633,511,328,474,326,724,162,054,
400,130,028,956,203,363,499,803,386,229,667,258,904,807,585,043,658,631,997,
042,085,966,472,873,718,356,822,554,728,487,788,839,458,008,188,055,629,132,
040,360,015,234,217,239,446,482,174,735,972,394,945,058,680,949,661,698,082,
737,191,572,898,645,622,354,138,114,566,102,278,409,049,085,992,652,796,758,
412,331,303,469,874,416,479,461,330,668,030,495,165,564,934,752,497,681,150,
680,151,229,832,751,145,086,285,610,660,846,478,186,646,409,133,807,652,924,
103,490,608,535,147,879,176,306,830,467,319,621,003,490,646,316,492,845,573,
864,695,882,921,757,650,754,986,629,475,069,039,710,226,986,307,940,789,048,
956,792,526,760,895,162,811,876,415,637,746,395,455,865,401,735,974,452,974,
362,699,685,886,106,553,745,810,975,040,738,016,148,571,587,397,631,219,285,
287,489,266,662,368,803,087,513,223,561,250,199,577,377,392,011,006,299,532,
705,768,665,221,977,129,395,478,767,987,262,983,965,642,013,685,546,587,053,
515,796,042,622,127,482,724,463,034,712,641,962,127,524,704,258,132,512,315,
710,149,734,741,912,178,542,345,227,825,939,064,210,938,129,218,089,628,320,
960,357,463,423,562,516,941,496,602,382,524,474,291,718,169,536,314,419,821,
614,349,694,824,799,323,256,137,134,888,679,802,738,179,361,019,062,451,280,
051,991,687,691,052,158,029,788,994,589,949,719,412,870,065,281,432,091,449,
728,226,486,796,453,911,134,961,061,106,460,103,001,421,904,280,903,541,173,
676,156,331,883,855,082,759,261,861,715,768,165,940,704,752,326,866,109,472,
594,068,748,375,107,552,701,158,609,384,841,958,258,710,665,150,843,708,174,
490,469,777,384,589,396,693,939,212,950,549,618,535,332,535,132,055,490,691,
404,864,386,301,925,109,412,813,766,519,091,560,985,906,574,868,774,903,013,
954,788,503,519,646,566,998,790,699,856,156,910,338,954,702,023,434,941,997,
184,110,933,673,561,031,815,940,733,618,322,180,719,483,332,665,463,815,435,
875,301,932,894,905,690,447,290,912,888,000,628,812,104,791,154,147,870,163,
596,706,048,131,084,777,669,084,806,043,270,676,253,376,963,380,119,541,076,
943,991,337,588,725,034,572,845,537,940,719,217,822,195,564,362,224,877,196,
074,333,883,508,564,746,682,095,219,865,319,096,364,055,848,440,931,616,257,
577,646,664,290,628,880,873,544,278,114,319,484,760,130,775,804,939,654,669,
688,949,298,600,345,070,074,017,201,273,141,598,947,608,121,025,972,407,324,
795,596,225,368,843,088,992,633,170,537,951,652,834,576,437,587,001,008,549,
992,832,435,378,042,940,782,736,180,635,383,527,224,652,133,372,705,564,537,
436,108,506,603,563,881,174,087,676,497,927,992,513,211,448,150,984,106,530,
317,317,938,637,155,106,809,630,324,070,109,489,382,143,089,700,247,270,310,
765,691,994,997,964,915,232,869,523,830,006,945,386,234,267,232,818,824,304,
193,979,026,171,442,084,042,048,362,260,486,044,786,061,429,024,992,566,664,
406,321,013,676,093,451,218,726,397,093,520,326,254,915,191,252,324,595,924,
383,469,400,900,620,416,926,265,683,709,431,966,002,327,947,003,408,551,317,
494,403,554,198,095,209,162,540,902,407,527,512,906,377,381,244,192,907,236,
606,413,498,941,374,192,645,976,160,120,401,590,956,680,689,101,411,168,509,
394,227,818,755,854,971,803,815,069,442,297,044,434,484,897,906,393,045,561,
019,937,811,163,457,996,350,049,735,997,450,832,459,100,635,264,842,248,633,
595,240,840,320,574,902,775,983,320,821,297,207,673,763,535,494,888,195,655,
365,866,994,526,078,474,802,774,233,825,896,695,043,577,265,341,401,906,827,
285,692,269,925,249,016,505,696,565,555,980,335,615,994,181,770,784,736,886,
626,291,187,077,902,389,023,611,667,707,494,773,147,536,103,188,725,117,782,
183,800,241,407,641,752,320,476,412,221,486,403,692,225,877,118,254,559,411,
944,772,072,960,503,334,292,498,155,689,904,934,644,785,844,941,653,183,249,
278,349,462,551,563,562,985,896,566,759,373,775,008,664,998,198,769,006,536,
151,311,683,924,483,665,618,240,185,057,937,079,381,805,918,663,115,137,030,
234,428,006,230,047,019,867,847,216,656,988,309,279,981,149,262,925,948,271,
118,724,688,309,895,770,137,980,767,229,290,743,408,667,457,906,037,542,590,
096,749,672,753,317,867,181,811,431,165,171,979,879,669,918,792,644,185,459,
587,217,691,046,366,397,580,655,505,826,810,587,296,771,053,433,707,244,468,
136,013,151,420,871,606,575,606,788,514,013,480,552,201,201,964,154,903,026,
318,676,647,223,399,352,156,362,966,563,828,734,871,654,831,423,214,015,839,
278,912,986,443,053,460,038,960,921,690,375,656,501,511,567,140,515,769,322,
336,013,515,688,170,311,340,726,078,367,527,408,499,703,996,152,295,341,929,
316,620,404,601,003,266,814,295,481,106,564,691,443,542,311,680,716,234,923,
738,979,188,075,171,676,184,850,138,729,685,443,597,309,332,455,365,458,867,
191,155,599,277,920,391,076,578,573,799,025,056,462,524,430,378,018,598,285,
719,977,058,274,528,139,919,209,565,328,228,671,354,874,335,525,937,075,655,
203,371,308,978,034,884,046,233,486,792,210,876,469,720,300,770,804,373,409,
538,188,552,443,788,458,171,512,693,702,602,911,132,136,317,382,330,574,978,
057,320,246,313,027,865,522,075,280,488,254,357,786,956,329,825,097,287,561,
868,737,303,469,750,376,125,206,098,724,471,479,480,607,243,051,244,755,939,
598,295,786,009,467,690,828,240,614,772,000,227,155,409,329,290,164,469,462,
362,808,684,356,396,711,995,476,304,188,266,870,314,372,110,897,614,296,153,
309,362,425,238,045,787,643,645,977,643,793,079,070,030,811,429,315,568,160,
445,399,782,358,455,951,167,805,158,716,787,933,844,584,346,005,508,068,531,
792,501,791,050,480,141,675,578,151,099,053,111,351,413,430,473,995,984,517,
945,189,474,738,340,230,225,166,010,275,136,248,466,076,482,405,828,486,182,
234,559,493,447,107,746,847,627,024,873,210,579,939,663,555,063,682,825,623,
923,336,305,231,491,118,700,765,786,908,458,224,090,516,056,427,154,104,787,
708,067,018,953,208,970,697,234,722,617,454,852,124,877,249,853,721,884,102,
063,441,162,657,125,879,432,546,646,274,028,666,252,522,140,548,191,204,983,
501,454,286,386,735,303,141,503,299,483,472,390,404,512,963,343,533,324,513,
513,481,446,255,123,285,859,073,008,908,717,525,309,516,953,782,030,369,504,
677,353,062,157,199,496,720,003,241,390,482,569,255,701,923,330,622,713,474,
842,115,189,881,446,397,915,597,501,648,746,174,209,641,195,763,517,637,302,
425,610,147,232,306,581,347,570,646,638,164,858,547,525,252,007,689,760,496,
865,752,861,327,600,638,300,677,168,999,705,747,737,605,210,706,142,009,135,
804,818,973,351,123,710,838,072,874,025,528,105,201,429,252,340,180,982,454,
084,946,361,614,338,473,282,571,175,187,615,852,086,728,744,060,449,406,384,
269,414,972,426,358,328,183,564,338,698,168,621,182,398,900,514,307,745,215,
580,801,727,347,302,519,452,691,828,019,756,386,287,063,642,894,887,697,946,
189,164,940,940,552,301,216,237,007,240,909,742,198,962,140,262,989,493,277,
889,457,650,680,932,728,176,248,093,891,962,763,365,585,209,002,804,589,323,
056,209,780,974,449,216,195,956,530,421,896,228,696,661,383,654,209,285,844,
622,365,779,887,647,910,212,562,918,403,407,879,018,494,660,553,892,406,453,
413,418,401,310,154,256,349,167,102,316,492,623,917,051,884,447,709,424,998,
247,836,443,179,846,123,977,275,357,719,351,831,390,076,231,841,624,316,058,
165,008,582,792,102,490,442,477,222,143,452,423,996,382,418,524,466,065,465,
138,157,237,647,808,096,719,683,222,746,226,238,859,349,678,533,605,627,201,
139,331,953,269,034,218,922,108,666,678,461,810,050,954,590,402,755,753,311,
496,009,877,534,052,880,689,656,170,881,019,181,715,979,427,646,617,552,345,
302,198,329,999,225,569,270,436,622,463,497,930,607,750,833,806,817,772,370,
084,836,315,691,143,350,854,695,939,850,078,882,625,589,844,511,285,403,052,
486,202,606,309,260,295,921,851,607,300,340,569,962,918,899,876,405,088,388,
667,940,096,974,551,231,227,283,712,735,750,556,098,871,623,886,880,487,012,
953,375,156,072,016,418,368,675,177,232,162,820,971,306,947,823,571,449,981,
990,864,316,084,295,117,924,204,739,181,556,328,597,664,104,384,092,767,694,
811,558,321,097,946,427,523,116,947,180,547,048,642,298,273,135,259,091,096,
626,693,884,556,256,373,575,550,675,704,486,450,403,741,824,912,968,201,705,
633,543,345,741,669,897,863,563,685,639,941,565,156,756,184,805,265,701,644,
555,662,600,724,589,583,946,248,349,067,939,180,595,107,844,849,485,202,282,
148,659,405,984,052,211,664,206,789,185,775,505,111,410,385,731,688,259,013,
759,141,185,644,634,022,211,115,921,032,730,675,811,295,879,658,522,751,002,
815,128,213,195,188,832,579,752,763,151,661,099,995,448,650,719,122,638,460,
624,865,243,323,397,510,904,119,148,803,512,720,467,655,439,797,649,947,385,
330,425,706,171,571,966,913,167,873,872,724,946,638,723,888,764,975,247,856,
887,350,428,739,184,072,527,449,990,633,672,533,319,038,197,421,437,771,831,
311,203,717,262,017,446,702,230,101,877,699,869,103,412,293,268,238,355,810,
169,411,238,820,330,009,683,491,744,544,971,945,661,843,419,094,204,601,876,
214,213,393,625,051,900,120,300,811,973,421,092,431,997,138,623,344,800,064,
997,158,281,121,726,070,257,462,934,271,988,669,498,151,131,773,458,998,892,
544,782,711,442,402,338,024,798,088,141,455,512,753,732,820,880,296,545,051,
331,932,708,732,843,773,503,977,511,749,999,426,576,947,480,357,609,818,697,
228,039,974,099,923,990,284,981,765,431,751,365,798,499,068,460,813,341,128,
585,577,145,051,219,517,184,796,649,397,736,336,295,363,721,334,034,458,636,
806,806,110,095,186,802,799,394,261,462,533,725,686,211,378,871,533,445,570,
028,016,654,398,667,718,607,530,832,486,318,260,075,533,636,835,707,279,487,
627,424,474,879,400,033,417,100,874,828,826,950,379,280,759,422,724,122,354,
568,666,850,818,962,443,890,324,467,762,214,655,358,245,754,478,275,982,459,
034,619,737,908,120,144,051,409,960,843,782,804,192,177,284,709,512,229,635,
027,443,977,590,898,080,472,174,837,157,179,453,667,630,524,310,680,781,970,
474,189,165,283,719,407,113,867,298,024,184,494,109,985,576,252,232,438,816,
318,878,464,002,629,547,966,693,399,790,325,463,028,467,577,572,021,765,180,
574,587,637,361,775,035,385,159,981,108,605,178,168,783,753,210,283,687,286,
426,986,204,693,041,028,627,116,143,881,554,317,096,879,507,572,323,281,767,
706,226,766,284,884,424,105,809,915,865,139,706,591,540,523,745,697,349,942,
876,112,080,234,671,223,677,382,036,459,666,435,175,550,424,578,765,214,255,
626,617,591,712,692,651,889,093,641,388,473,675,862,778,028,967,269,334,248,
636,372,862,632,637,974,424,413,513,750,145,607,512,240,452,830,685,719,829,
144,153,686,306,871,291,303,778,445,629,830,074,195,191,763,804,806,177,270,
098,280,881,308,499,309,422,274,018,639,334,203,968,012,233,934,359,080,236,
805,201,668,311,405,934,849,200,478,772,832,390,052,064,182,572,686,153,393,
801,904,886,624,624,953,524,438,919,250,789,836,468,557,753,725,695,612,470,
900,394,033,279,910,268,738,514,965,955,458,928,037,066,277,580,601,084,054,
766,651,157,578,009,358,015,289,168,463,518,596,571,418,115,658,006,028,508,
433,110,627,805,030,496,162,280,362,448,603,346,938,697,567,170,036,845,644,
966,727,564,874,188,918,347,760,387,072,853,139,673,913,038,432,285,327,720,
528,216,391,290,404,989,048,724,070,582,427,394,366,873,721,214,053,530,271,
547,951,550,443,124,218,213,539,112,103,392,532,511,716,804,715,099,213,023,
976,322,132,382,192,897,048,155,147,000,049,306,292,616,015,294,946,930,654,
293,749,824,716,138,931,276,531,215,322,398,659,345,485,088,086,093,277,360,
836,532,235,694,675,941,211,365,966,819,069,953,421,944,711,698,020,336,035,
665,143,715,515,266,269,147,981,618,062,528,617,855,609,351,768,323,441,962,
382,838,709,443,612,141,163,351,816,975,160,038,945,517,283,460,888,917,732,
409,089,293,769,655,633,422,613,051,999,243,205,031,650,317,620,132,452,924,
782,588,667,147,557,636,089,322,264,038,938,846,385,492,169,033,292,380,447,
614,556,365,883,573,512,644,776,760,509,353,821,615,441,752,192,365,789,546,
946,831,756,060,014,355,892,504,660,632,065,611,864,933,031,405,939,382,284,
978,358,099,470,723,688,064,280,151,937,231,893,250,816,651,439,849,204,985,
987,780,856,441,481,765,001,479,030,290,246,383,905,214,330,708,615,648,037,
958,097,212,927,056,040,908,871,229,121,625,755,002,067,806,266,271,689,974,
995,433,015,497,882,740,662,791,944,040,045,370,870,996,442,039,980,286,128,
619,082,863,492,797,258,103,646,070,221,315,666,303,151,027,309,343,847,134,
244,290,376,234,725,318,160,019,221,205,893,063,079,048,795,114,036,476,184,
711,607,812,008,764,153,617,801,737,798,312,812,230,482,467,322,299,187,772,
772,339,744,830,798,668,369,260,371,516,422,074,234,586,448,624,813,763,631,
288,548,570,874,939,395,215,512,558,016,051,481,072,667,341,800,109,618,047,
820,107,772,841,682,827,469,864,602,434,129,709,240,955,490,095,799,060,714,
409,008,868,317,602,962,960,246,846,482,022,188,410,555,734,941,869,955,572,
208,573,668,913,976,754,634,924,846,501,715,662,631,158,938,738,086,945,925,
521,120,374,387,129,693,211,544,813,171,260,981,623,306,245,037,374,446,686,
404,549,520,480,900,230,752,269,151,044,585,048,314,351,117,648,697,161,682,
048,448,708,497,827,274,682,328,671,664,676,510,621,681,375,212,588,229,262,
940,148,511,580,190,295,575,658,086,348,524,070,167,191,204,527,583,703,740,
528,281,257,544,597,438,360,308,749,383,355,765,198,552,898,867,194,212,806,
237,735,235,343,628,761,239,390,099,655,295,951,316,277,702,193,071,189,506,
954,196,146,622,492,439,479,484,071,247,820,081,451,819,228,776,183,765,148,
869,876,232,303,987,012,880,818,989,739,605,872,711,743,783,144,884,170,594,
315,080,960,829,270,600,043,430,581,305,732,688,874,017,454,423,348,587,196,
217,990,232,942,417,983,540,229,880,502,683,199,340,318,118,877,090,512,302,
218,357,940,773,919,724,103,421,047,849,532,916,532,061,969,652,528,047,983,
440,967,309,132,455,257,803,337,381,670,471,735,116,813,597,766,724,047,263,
023,978,537,364,961,820,892,522,974,928,409,117,192,844,821,701,775,468,631,
020,815,278,929,296,595,847,211,617,196,338,568,187,884,849,674,762,527,707,
449,668,455,169,292,531,341,416,486,375,918,605,660,630,664,760,113,141,798,
887,069,297,843,821,333,734,289,708,189,730,597,651,826,194,794,469,935,684,
958,602,871,357,248,254,276,448,990,087,185,784,350,610,378,002,088,030,215,
236,873,388,463,652,088,933,815,436,643,105,443,558,858,252,359,974,330,158,
854,666,125,248,249,259,146,431,600,445,061,517,168,346,797,086,029,287,026,
954,669,834,827,146,325,575,771,566,125,506,814,245,144,884,929,601,289,570,
035,740,714,817,062,825,548,374,111,716,219,818,529,238,231,993,011,359,431,
159,100,962,866,878,037,152,879,140,015,002,866,065,610,198,542,366,116,156,
554,398,531,826,828,982,220,707,067,333,556,393,162,209,362,289,753,384,189,
105,554,732,183,875,699,628,905,542,411,381,194,123,077,652,283,358,795,387,
015,067,815,819,791,823,599,653,816,917,519,316,135,845,417,227,201,384,882,
159,571,750,958,877,568,778,696,778,479,706,216,101,200,321,548,232,752,573,
197,089,544,090,722,315,180,670,431,472,621,874,439,154,100,440,549,759,165,
552,051,047,278,972,170,182,189,877,350,122,840,288,125,867,634,391,713,322,
093,017,327,670,235,292,838,265,278,192,451,441,859,532,229,830,091,304,764,
373,438,634,715,782,352,122,701,349,848,784,546,651,932,508,870,796,695,813,
024,717,204,923,553,749,144,645,252,787,352,058,831,278,376,604,115,422,031,
671,575,020,927,899,732,311,589,014,930,006,424,451,670,349,826,865,520,837,
172,272,688,655,416,194,932,124,598,275,430,428,009,650,628,314,835,275,703,
934,199,601,717,338,336,075,896,183,956,549,905,616,497,661,681,971,977,772,
663,319,741,637,442,387,402,305,838,856,028,524,630,142,788,383,710,808,764,
878,423,525,908,255,921,440,150,473,992,928,644,200,662,115,689,524,978,466,
810,259,528,672,880,466,714,314,464,332,837,445,922,016,421,756,295,642,285,
570,009,862,609,707,365,503,808,545,971,229,174,786,752,047,739,855,952,202,
332,127,193,934,944,984,796,997,014,637,912,215,624,853,002,591,902,922,448,
930,173,083,432,737,390,920,680,018,985,480,402,498,235,657,970,722,145,963,
487,306,935,176,284,837,021,833,698,495,601,675,020,067,086,777,796,937,249,
469,638,334,757,152,113,681,463,220,901,900,925,906,682,966,055,313,242,977,
192,950,875,911,642,265,295,592,502,781,760,738,570,383,650,366,020,064,061,
554,370,913,482,126,925,125,329,145,089,769,733,790,039,152,847,263,841,128,
480,701,332,993,117,313,124,272,492,191,395,280,323,125,898,602,953,841,733,
776,067,276,872,339,165,200,265,192,315,257,109,622,813,434,584,840,808,646,
660,901,067,271,609,710,457,856,926,814,230,083,206,954,732,475,967,518,775,
333,389,249,027,975,833,017,273,684,668,842,864,270,955,872,209,700,951,443,
179,167,255,506,870,134,851,453,482,272,932,775,349,879,026,937,130,198,743,
312,874,796,661,968,704,169,598,693,173,283,916,852,469,896,399,924,389,137,
299,598,326,456,862,198,989,692,692,762,461,223,807,559,092,269,372,052,278,
798,527,906,353,964,105,069,549,701,460,311,468,169,464,604,938,781,587,897,
837,239,197,662,180,334,112,404,130,261,184,450,056,459,909,472,801,775,618,
497,523,096,130,807,990,287,713,612,650,780,345,857,453,433,776,497,523,517,
315,854,983,586,859,401,218,997,130,701,781,135,554,377,751,802,622,798,871,
952,096,195,178,160,081,388,135,775,079,866,609,698,289,281,988,582,137,206,
190,522,868,916,628,457,544,180,335,756,156,147,077,921,083,148,338,922,127,
668,001,798,257,173,552,613,714,863,262,270,006,285,074,400,161,713,280,303,
511,340,454,657,637,756,741,417,961,932,149,191,643,827,744,215,285,866,090,
817,503,671,482,346,010,032,179,643,166,969,811,687,760,607,981,638,574,170,
369,963,935,067,315,322,621,823,492,771,075,499,511,714,642,902,634,714,934,
609,127,553,539,000,107,054,243,774,844,826,240,749,875,185,650,111,355,221,
705,552,680,276,077,970,178,988,453,561,422,887,122,054,374,759,277,626,901,
396,553,441,883,892,106,718,478,497,685,304,635,507,734,086,455,743,672,962,
190,501,783,329,595,070,245,185,089,073,213,693,122,109,919,053,891,518,162,
066,020,551,862,171,216,827,031,136,918,627,600,466,514,842,056,296,253,304,
073,324,992,286,687,327,813,738,151,900,214,845,272,890,641,893,834,997,751,
009,923,027,203,948,766,689,355,295,724,499,264,458,766,738,030,070,883,542,
122,257,897,125,599,509,562,279,664,797,941,771,587,974,607,472,219,172,953,
457,868,038,292,659,496,938,944,288,097,138,082,161,547,596,016,854,595,601,
562,461,162,140,783,185,262,391,257,267,455,465,085,458,090,964,356,474,634,
661,640,998,993,118,483,965,139,200,754,076,369,945,782,960,213,669,320,827,
027,371,742,410,921,526,525,309,438,671,723,720,677,093,195,637,891,243,107,
543,177,982,513,465,822,883,544,356,343,545,316,684,412,406,764,991,982,647,
013,480,070,711,365,133,309,761,080,210,386,785,403,109,789,243,697,408,880,
143,736,168,851,861,440,138,370,345,715,605,129,681,070,155,187,319,290,662,
196,475,166,063,941,286,865,658,384,392,302,542,110,665,663,814,335,700,447,
155,676,473,196,907,732,348,215,964,940,446,117,716,738,597,648,557,564,390,
715,088,074,554,474,079,614,053,263,408,189,978,603,882,175,566,434,013,086,
553,347,187,056,946,038,683,439,794,123,803,105,641,861,816,797,777,421,966,
910,707,451,853,433,163,364,618,748,646,996,543,529,705,388,404,802,612,492,
493,253,862,005,529,012,597,809,768,731,815,969,071,941,603,274,239,837,108,
644,221,353,787,066,426,347,512,795,230,825,428,770,732,112,391,319,560,929,
054,674,076,903,411,095,385,103,503,464,526,197,621,471,210,404,437,228,255,
161,011,822,164,523,664,120,272,675,042,568,969,120,130,618,829,751,563,079,
825,900,551,848,395,864,620,287,098,960,099,002,777,672,123,325,592,140,463,
934,956,488,804,497,534,611,436,057,313,704,912,842,671,619,326,554,698,215,
199,245,266,088,084,116,204,175,755,820,985,155,591,017,425,539,585,008,565,
375,282,334,526,741,363,443,165,258,446,246,990,092,325,358,188,825,732,586,
980,299,700,495,653,634,447,314,983,304,517,782,814,531,871,572,194,629,203,
180,200,037,317,837,452,712,754,232,880,128,353,295,995,000,468,753,604,539,
357,753,321,024,361,382,329,522,452,676,189,647,269,981,200,168,484,431,616,
204,190,922,045,760,764,255,840,758,784,172,965,131,931,354,189,892,327,410,
544,455,307,416,443,971,723,097,123,902,550,442,510,236,400,979,814,718,781,
017,496,328,904,646,932,591,113,775,455,535,218,235,195,770,446,560,034,694,
026,252,589,493,603,005,329,915,913,805,854,078,872,023,411,508,743,374,172,
906,376,182,734,697,342,730,190,787,583,100,194,469,610,084,903,049,140,505,
737,753,984,871,006,093,880,516,007,315,594,056,074,033,666,323,840,724,517,
181,557,531,871,978,706,466,719,854,055,319,795,813,476,513,005,573,687,308,
874,464,046,282,201,322,723,080,412,664,572,218,322,604,499,529,224,487,878,
588,566,342,851,905,202,684,135,668,776,615,110,629,064,618,727,231,182,814,
781,962,557,687,847,749,103,866,045,512,987,310,334,149,844,460,958,011,872,
027,547,862,689,116,245,988,825,512,968,356,206,300,740,288,455,195,256,391,
153,492,103,579,077,836,499,769,977,446,050,161,987,718,621,822,278,076,378,
052,873,849,758,963,676,686,317,043,907,979,829,446,554,675,525,888,618,558,
061,695,386,524,136,169,042,006,168,714,380,979,298,102,451,870,390,973,632,
045,097,901,557,045,026,543,935,537,336,838,822,201,801,763,259,671,619,048,
582,918,840,595,798,214,085,317,872,771,386,284,215,949,437,305,949,266,781,
641,307,482,119,853,877,344,032,704,235,058,854,711,687,090,676,050,819,066,
718,661,464,592,944,262,680,271,269,225,187,149,402,488,374,005,817,249,618,
343,974,642,596,718,851,414,629,401,690,511,356,553,059,376,551,350,473,287,
227,622,302,417,984,069,501,972,351,712,720,190,132,755,107,505,614,448,623,
793,115,628,517,117,255,235,454,963,548,222,350,752,288,181,407,547,787,096,
030,290,458,013,741,359,460,406,190,566,621,958,993,646,859,048,781,824,897,
621,764,227,339,035,262,418,011,174,858,684,622,185,067,763,062,613,248,799,
655,059,109,101,214,302,883,852,978,949,366,262,615,941,174,501,204,822,808,
513,218,071,042,652,600,267,081,745,256,029,858,857,239,688,627,610,456,220,
339,966,468,818,996,843,354,153,032,803,809,535,939,310,375,709,257,619,651,
994,531,207,634,618,267,263,184,598,858,358,792,497,668,285,901,263,739,083,
681,349,886,919,652,303,397,482,267,125,839,079,782,212,728,837,317,917,904,
372,807,449,993,831,767,637,055,432,216,163,444,803,846,912,576,702,510,747,
987,092,252,884,248,100,499,859,669,121,380,454,479,889,787,420,239,123,589,
900,912,315,596,294,917,639,768,575,378,581,118,366,687,780,196,778,255,827,
504,377,224,792,153,590,477,535,922,805,821,539,714,009,103,892,068,414,753,
788,677,682,911,742,928,536,611,403,623,773,515,414,501,242,916,233,654,507,
434,148,377,406,696,380,670,657,116,896,509,032,284,155,580,057,128,746,310,
690,512,783,244,201,272,514,179,864,704,637,014,114,489,785,061,266,350,340,
363,100,767,918,247,889,152,986,926,184,703,122,026,755,676,511,654,763,287,
263,973,003,523,055,387,207,131,312,751,180,119,965,530,209,041,964,732,347,
225,805,822,799,502,002,176,750,467,428,654,495,625,206,919,036,939,372,999,
166,126,689,556,879,896,961,584,177,652,469,958,992,121,348,793,433,024,257,
607,053,306,394,103,240,483,488,552,146,279,470,181,027,113,328,271,473,581,
160,269,045,763,353,560,326,556,420,311,363,732,400,562,040,001,377,722,284,
387,307,631,800,196,898,997,341,982,811,120,066,037,821,682,334,908,489,093,
085,763,302,812,147,150,651,008,357,996,963,214,527,174,051,806,749,084,265,
111,838,464,206,413,553,256,921,023,758,628,523,478,078,984,811,812,488,560,
574,059,395,467,563,852,960,975,537,387,040,945,889,240,732,999,004,286,046,
003,543,161,652,067,229,874,173,573,729,497,091,987,297,066,125,896,988,912,
854,390,513,629,998,709,114,042,621,145,868,197,191,129,076,053,324,474,663,
724,950,450,769,564,174,818,516,596,163,528,319,472,035,141,951,746,432,850,
774,486,731,824,352,605,031,163,713,094,328,097,209,017,750,988,634,930,953,
641,491,509,695,405,549,879,734,990,378,960,365,262,694,850,594,170,397,543,
260,942,396,805,491,346,987,881,016,114,073,045,879,313,510,118,931,325,736,
925,265,825,037,723,178,489,004,294,814,840,092,856,068,031,988,060,625,565,
597,052,528,256,604,766,258,745,066,255,809,597,494,490,759,440,726,490,345,
928,380,636,249,847,099,676,773,739,250,972,792,850,312,164,752,771,138,532,
841,334,592,797,948,937,874,095,015,071,731,237,304,597,970,059,977,646,013,
295,043,827,778,914,870,052,288,540,340,891,362,637,134,069,734,023,998,006,
248,114,218,796,513,681,528,484,134,071,653,069,916,780,535,888,849,244,922,
883,313,663,519,511,794,983,246,945,127,361,203,133,204,861,468,790,962,775,
386,356,327,646,456,436,287,828,860,378,500,757,696,499,981,931,659,486,835,
958,923,364,627,111,574,783,307,956,158,734,928,224,849,299,889,486,573,021,
272,013,937,984,352,845,287,982,410,000,979,948,498,533,887,110,317,942,450,
109,376,551,360,036,079,215,493,215,437,936,826,640,008,301,737,083,013,657,
192,056,807,509,795,431,919,124,087,748,246,951,676,579,810,642,663,879,569,
337,761,058,626,868,765,112,880,187,848,955,829,436,592,864,915,841,516,330,
904,817,935,025,261,271,880,717,995,269,415,061,377,098,571,599,729,668,337,
751,128,869,883,390,991,016,665,747,242,453,786,094,868,264,883,377,660,285,
513,434,117,770,921,539,079,558,751,470,652,139,081,581,939,274,804,438,018,
638,686,862,395,478,518,652,676,815,669,954,747,945,177,522,066,163,730,583,
331,638,189,292,868,202,736,304,853,863,921,581,449,477,688,587,665,846,602,
735,310,536,376,573,541,642,254,650,460,023,631,671,091,141,910,257,927,095,
359,007,059,509,910,681,302,252,113,969,673,188,449,765,710,962,707,658,386,
953,353,588,377,679,211,131,879,924,705,449,884,718,357,721,560,410,670,982,
101,079,619,627,209,015,767,721,443,876,902,602,563,365,593,037,551,549,058,
812,911,868,768,859,257,434,370,401,830,466,892,540,462,756,131,388,040,029,
615,188,464,745,648,849,635,250,974,705,256,847,574,441,445,443,511,658,465,
512,414,120,353,272,152,675,722,064,768,338,441,849,730,475,071,147,724,593,
474,561,830,519,223,537,016,760,062,002,316,425,157,972,437,526,251,578,037,
454,604,161,112,899,615,389,148,283,902,533,630,273,995,167,134,577,183,158,
463,571,972,265,353,161,972,468,848,282,208,235,472,870,554,722,570,606,966,
564,332,895,532,401,106,583,268,971,855,104,961,576,653,166,273,180,585,159,
271,674,572,362,153,279,988,159,345,423,058,299,292,236,522,302,386,137,185,
509,897,841,241,664,890,815,621,793,433,297,013,646,792,737,949,120,725,814,
539,574,942,636,945,982,398,936,769,210,557,426,230,856,267,330,504,932,274,
145,516,755,603,687,504,084,830,291,806,612,441,853,096,023,446,539,360,442,
582,805,027,559,854,528,973,739,781,339,414,248,757,566,295,882,999,417,137,
925,050,617,578,492,969,122,733,758,177,356,804,097,476,641,661,517,610,059,
027,580,363,842,791,084,115,426,063,373,469,523,132,354,306,879,977,685,121,
873,250,165,168,871,491,486,041,213,874,955,268,761,057,967,156,382,909,319,
316,405,819,302,588,390,109,034,194,491,273,792,707,484,147,856,220,702,728,
383,360,511,418,394,230,240,139,281,816,091,265,535,516,745,623,971,639,682,
426,734,458,873,200,325,785,780,556,583,889,231,871,540,958,734,255,864,592,
795,391,053,487,028,837,418,517,099,245,165,789,158,777,602,244,316,707,023,
236,362,761,515,742,106,015,146,234,157,219,112,795,190,897,746,236,391,797,
363,436,971,699,623,083,554,650,789,891,613,734,838,540,062,487,898,280,439,
523,501,160,780,365,685,038,682,248,124,942,759,843,403,623,802,378,121,031,
222,218,634,491,042,526,985,468,504,636,768,117,184,672,010,426,067,577,820,
457,650,525,209,319,073,657,077,258,191,300,168,698,573,560,548,493,218,371,
800,869,866,759,320,769,753,965,974,352,907,093,705,228,421,549,391,614,560,
426,504,448,890,724,290,475,580,574,526,716,800,177,220,166,264,702,413,161,
060,039,271,086,523,610,551,930,688,083,820,938,277,642,066,863,867,301,666,
796,336,877,109,469,095,323,114,152,542,249,212,001,713,604,616,834,200,780,
551,892,814,592,551,440,977,655,914,525,921,284,831,631,119,864,150,003,530,
848,075,354,046,899,263,312,752,183,533,032,941,079,129,068,475,232,563,095,
572,401,632,310,401,044,979,538,630,231,148,931,103,168,014,027,755,031,923,
171,385,275,921,657,335,817,118,934,837,704,786,158,091,408,114,715,145,910,
246,017,682,371,237,085,759,971,529,940,414,196,285,777,208,776,571,051,980,
666,478,099,368,233,125,295,983,655,877,914,562,330,503,960,774,760,170,244,
524,694,458,328,156,282,247,188,413,187,257,608,013,657,613,729,512,566,601,
971,817,548,850,571,862,785,908,480,478,741,589,648,526,305,222,557,538,714,
484,985,417,410,755,815,960,637,082,385,387,358,364,646,824,204,095,839,336,
194,560,111,687,290,530,551,359,259,507,135,829,410,328,688,890,465,263,415,
933,642,560,277,489,511,144,991,290,380,844,527,441,380,923,279,053,150,781,
432,372,332,590,787,277,547,667,516,808,612,930,391,320,834,336,268,184,672,
679,601,276,142,467,860,622,102,537,633,151,285,281,375,826,816,497,678,404,
510,695,600,027,319,393,275,350,718,116,241,082,006,156,242,201,067,959,692,
579,112,620,340,936,640,699,854,234,754,157,763,611,270,518,621,178,508,221,
104,208,573,449,142,642,101,752,354,788,918,860,591,559,566,385,520,138,501,
553,438,552,198,628,263,464,790,920,197,561,849,144,623,514,270,445,981,855,
603,859,805,521,352,681,321,584,774,345,187,564,003,927,047,402,570,786,597,
734,077,244,815,829,750,737,194,629,592,562,873,749,088,800,095,306,861,752,
641,012,389,052,216,918,301,428,443,239,098,081,819,052,584,289,474,604,074,
094,871,088,155,744,218,019,250,121,349,325,280,699,445,882,122,738,357,201,
242,890,299,765,555,096,604,090,293,825,939,665,610,085,841,214,167,523,690,
953,494,017,740,678,693,617,117,086,670,663,310,218,585,921,608,038,091,848,
851,930,527,305,648,373,232,308,852,820,459,398,634,085,251,016,702,113,148,
948,373,040,973,787,292,261,501,218,612,780,556,658,160,867,128,938,838,306,
629,488,547,344,755,316,110,680,627,713,330,613,839,363,060,969,437,167,059,
826,670,857,483,663,749,927,828,488,278,783,096,780,898,329,936,009,720,463,
754,608,273,088,037,180,319,143,568,245,295,903,938,006,274,952,604,679,663,
714,708,241,063,636,587,981,585,697,901,495,675,733,497,123,131,306,645,068,
424,978,905,738,982,841,173,537,744,156,346,025,238,376,203,298,509,182,472,
943,988,867,927,623,760,358,757,637,105,000,878,397,434,740,204,540,993,801,
856,044,669,399,101,798,132,495,634,201,171,950,784,154,894,929,013,044,789,
691,464,759,812,025,042,555,681,830,852,607,704,022,719,227,637,446,002,308,
376,657,262,882,300,112,603,441,672,513,977,056,286,357,448,627,003,543,182,
121,402,465,757,340,227,560,410,307,013,888,040,693,642,147,872,189,324,442,
085,768,205,461,730,622,445,290,899,455,659,714,204,653,023,351,698,302,087,
971,767,341,412,841,471,025,600,946,835,220,319,832,946,925,589,285,440,269,
982,900,023,739,490,393,813,281,797,925,662,014,298,853,912,999,540,787,011,
346,644,342,989,701,239,015,893,153,881,759,357,274,922,343,740,095,894,302,
046,906,348,366,578,324,378,433,803,994,302,625,719,649,593,034,967,557,340,
918,176,214,739,554,456,958,119,651,311,924,003,442,159,609,988,972,458,683,
136,436,280,492,689,773,549,211,334,062,004,402,292,954,045,894,106,885,374,
367,603,651,480,774,835,121,902,622,256,763,211,735,012,489,506,973,912,179,
279,609,995,385,400,980,771,353,131,753,012,609,995,390,654,968,107,868,688,
185,246,775,052,247,367,435,215,457,119,155,441,061,815,279,802,806,400,035,
572,324,592,116,748,356,826,239,047,471,350,601,845,755,681,065,348,692,078,
656,235,611,905,578,906,953,587,738,568,392,975,058,718,805,495,255,664,916,
635,194,997,335,787,769,215,862,851,379,260,466,957,028,595,655,334,015,126,
261,023,390,883,157,796,814,940,967,193,853,206,450,836,679,960,242,442,310,
460,581,101,560,606,995,486,998,241,434,325,610,426,075,978,244,776,403,028,
070,969,865,067,106,977,948,037,165,543,468,384,159,909,389,763,890,619,429,
415,077,615,318,986,042,473,913,914,958,220,069,881,689,561,983,527,765,357,
022,919,606,419,301,179,125,896,211,883,084,592,701,033,072,118,612,619,283,
950,842,323,980,731,228,903,481,972,513,805,911,571,132,096,220,304,863,166,
824,476,694,231,854,467,581,188,070,195,739,280,891,354,835,012,620,638,743,
786,461,085,529,465,074,299,410,681,172,873,662,891,672,875,641,234,572,397,
579,168,510,652,266,074,220,292,800,214,929,500,742,354,390,302,448,533,393,
464,037,248,775,008,241,839,868,912,025,200,129,796,424,965,377,864,592,321,
604,036,759,510,698,128,660,891,571,471,322,926,592,617,645,364,869,429,435,
668,636,539,765,282,911,051,665,324,753,136,363,640,904,220,501,441,888,544,
598,848,966,714,078,076,372,225,449,067,880,342,584,457,415,310,352,136,491,
745,842,721,677,363,965,022,309,725,460,571,404,603,631,210,987,991,126,639,
610,216,864,828,114,194,526,602,521,893,921,740,783,934,050,782,340,498,391,
140,433,662,541,801,447,297,473,937,661,598,943,729,554,369,455,074,712,082,
249,924,547,350,795,581,806,537,268,246,841,001,155,821,701,738,208,118,792,
855,106,990,540,480,677,963,484,130,508,242,470,076,360,442,615,206,973,467,
082,261,073,508,289,502,534,651,818,942,050,414,153,949,870,431,070,236,924,
662,088,696,546,939,993,431,857,496,142,528,514,652,144,675,762,929,115,324,
807,401,510,625,227,600,043,753,846,388,110,332,319,652,713,649,414,336,165,
025,323,716,307,944,124,222,179,127,973,517,070,149,192,069,742,631,207,056,
518,153,158,216,118,560,567,376,358,675,693,612,499,068,755,724,624,699,798,
047,257,159,676,914,991,873,330,646,811,376,952,546,245,240,380,510,381,124,
180,604,071,701,632,896,732,048,757,619,256,364,010,057,271,834,102,125,838,
200,719,739,243,326,940,384,139,027,201,093,484,526,283,222,832,644,589,270,
920,164,578,280,409,730,974,362,618,861,942,978,668,346,034,268,718,686,329,
666,928,577,846,891,525,317,597,259,751,377,267,867,521,479,984,751,510,572,
224,802,315,296,709,256,340,616,374,211,074,459,686,116,178,476,050,146,466,
039,505,300,137,273,158,715,777,156,190,103,229,834,113,892,963,401,340,131,
439,160,940,383,412,007,732,375,597,317,019,317,702,587,100,488,620,992,084,
927,116,479,312,116,763,840,438,750,500,193,312,868,435,402,043,447,239,270,
207,659,923,201,925,046,756,831,899,509,872,482,073,221,324,438,698,636,823,
879,057,753,617,872,165,379,711,620,572,501,486,230,965,407,046,534,000,987,
991,727,357,924,437,555,583,374,197,576,603,405,516,473,585,748,551,683,202,
651,989,644,684,535,602,533,057,845,048,892,249,175,254,026,460,386,173,195,
908,752,931,993,487,068,336,517,524,742,685,732,096,987,170,014,632,876,714,
003,754,011,135,853,759,755,716,222,589,250,576,642,817,782,229,675,021,371,
299,629,153,203,927,212,743,095,135,374,414,787,664,109,236,888,393,154,320,
290,513,069,821,208,969,644,831,961,691,195,269,078,707,586,892,177,026,543,
600,961,030,529,513,432,156,387,818,252,601,404,179,136,886,536,640,871,110,
393,801,040,605,055,176,075,971,138,923,449,987,179,388,276,037,079,748,991,
583,483,691,735,795,769,376,243,650,244,345,385,899,744,901,792,272,408,329,
505,728,009,981,899,848,598,059,004,455,356,940,083,371,838,145,934,872,386,
455,753,834,557,589,453,291,207,594,699,405,445,504,031,283,629,459,949,134,
453,049,543,975,913,667,919,938,225,560,374,528,086,880,594,989,645,842,331,
865,684,458,358,454,515,053,122,500,837,779,256,098,988,866,619,529,979,707,
471,133,743,120,967,165,481,805,422,304,149,234,425,551,485,353,559,822,199,
864,601,042,049,758,107,965,527,256,728,626,860,204,744,567,793,559,326,051,
115,010,776,067,374,407,884,259,625,226,741,587,496,423,331,861,254,144,674,
596,316,375,790,865,892,936,609,468,254,731,478,449,316,163,562,498,662,560,
997,780,776,320,165,634,030,718,396,415,495,006,016,005,184,185,055,901,189,
874,540,532,997,992,941,880,510,697,586,455,023,255,725,543,942,926,419,556,
246,251,196,954,620,492,105,992,636,521,950,666,759,767,870,279,805,035,141,
839,141,391,540,566,102,350,948,368,081,089,759,305,525,831,333,000,586,242,
157,215,100,797,261,286,167,319,725,801,831,430,499,867,862,703,028,408,120,
335,283,248,044,318,256,539,142,100,030,532,238,372,420,586,255,195,745,833,
425,237,011,632,208,532,015,788,985,059,419,553,266,654,086,432,577,722,420,
126,664,800,503,227,710,247,087,434,856,048,266,013,602,151,011,360,547,131,
045,695,901,959,429,472,433,030,741,505,625,051,196,170,541,099,655,547,005,
628,868,436,516,487,935,392,661,019,747,380,607,748,971,663,538,508,691,955,
916,950,303,373,561,974,240,609,090,722,765,055,567,472,287,544,288,802,372,
945,527,914,806,652,607,514,701,986,915,252,332,680,970,739,265,569,475,300,
918,688,988,184,655,115,638,959,017,320,606,131,402,870,783,621,526,416,202,
791,606,760,704,955,610,048,715,970,570,735,101,334,740,273,775,763,044,170,
691,398,140,056,458,831,252,841,213,461,840,013,478,440,769,055,581,121,391,
416,233,410,690,205,394,010,866,479,553,497,249,040,124,510,148,188,803,098,
073,435,216,292,406,454,020,896,584,843,655,277,079,647,198,440,332,927,360,
112,553,015,232,883,970,789,827,548,117,904,629,124,149,302,703,732,204,465,
402,121,293,052,363,629,188,098,547,823,928,504,565,488,348,730,965,590,660,
196,519,446,405,617,063,230,583,767,835,165,747,767,119,196,979,079,721,744,
433,686,321,350,419,718,839,794,122,242,907,483,283,688,572,285,846,998,918,
699,064,566,951,350,984,322,223,096,146,006,495,866,916,287,677,128,652,431,
334,813,972,089,779,217,787,438,113,285,239,981,382,390,521,954,606,927,436,
029,271,531,626,864,892,873,534,653,035,139,932,379,578,116,847,246,229,966,
470,634,655,526,662,464,347,424,677,264,095,169,830,101,530,275,127,551,438,
025,923,035,797,027,676,522,060,237,109,612,565,474,288,581,771,904,317,726,
060,580,904,288,969,273,640,029,643,725,575,067,488,205,173,361,877,495,861,
795,616,313,247,842,794,355,901,461,921,808,362,171,378,455,548,878,865,260,
797,130,687,728,487,344,501,920,460,089,506,305,680,756,573,621,590,085,589,
890,748,865,862,349,123,534,117,862,301,394,886,161,256,629,765,681,700,580,
670,451,741,809,306,538,606,480,243,243,425,027,727,295,571,333,106,021,583,
527,146,029,121,227,376,399,872,007,081,485,906,460,878,199,998,985,009,354,
658,969,790,649,111,575,924,153,016,200,088,917,234,407,586,511,471,977,374,
615,964,179,025,091,986,859,575,358,621,618,766,952,362,437,493,507,226,079,
652,235,664,632,377,590,915,874,761,605,218,225,944,973,094,933,771,398,682,
273,451,266,712,762,993,292,611,332,308,179,972,090,149,094,992,450,173,952,
242,573,908,780,957,576,235,962,037,030,434,076,182,232,709,403,618,893,532,
543,657,997,376,678,439,023,021,735,145,322,504,889,920,581,091,911,428,229,
897,197,659,306,280,440,243,456,042,222,596,316,339,467,724,433,160,603,388,
997,899,742,014,350,514,692,197,370,465,870,668,496,295,430,562,851,758,625,
485,753,133,229,498,791,140,762,782,315,136,317,892,396,870,630,620,771,109,
030,253,819,260,121,123,902,189,691,665,572,850,742,311,677,494,551,471,772,
239,770,005,647,857,476,461,867,060,426,510,631,057,263,247,409,518,886,651,
373,266,741,552,203,332,245,985,466,859,609,226,274,733,704,387,194,443,638,
773,093,060,764,620,685,041,947,382,010,401,904,199,001,278,123,088,704,817,
623,598,125,998,821,422,561,642,528,149,011,880,931,186,803,424,765,696,875,
375,070,945,963,746,977,039,941,799,469,087,413,501,325,031,337,852,686,661,
719,647,193,119,176,779,165,792,101,635,844,210,383,025,520,486,720,547,557,
214,483,068,227,763,267,198,313,078,948,355,463,471,081,028,940,991,225,286,
352,975,047,821,360,710,556,903,398,524,515,910,742,965,428,461,239,983,253,
915,993,226,183,020,387,938,153,937,089,398,813,164,435,640,584,255,550,258,
825,131,179,952,350,830,083,561,140,893,083,758,595,293,622,539,017,434,448,
635,644,533,215,961,980,224,373,093,594,925,765,664,362,406,458,176,456,225,
229,457,629,498,788,092,415,460,821,530,520,184,664,277,627,270,850,322,700,
395,004,947,568,816,493,348,428,372,309,225,678,074,693,045,922,355,156,360,
985,125,579,178,762,422,728,516,937,968,465,668,335,096,420,460,203,574,102,
320,388,463,446,137,059,394,979,134,010,675,913,344,126,359,555,469,987,649,
272,890,177,420,401,705,961,224,453,451,170,961,574,986,422,154,318,181,591,
107,698,770,959,688,795,357,968,332,135,153,562,422,950,515,747,184,049,729,
942,458,078,565,803,917,232,339,707,820,515,143,001,093,803,405,000,596,266,
501,770,776,671,164,984,821,761,094,664,985,439,789,495,361,776,443,571,322,
509,963,502,251,481,651,910,642,293,070,251,850,324,097,444,093,686,325,841,
264,087,155,125,754,648,275,416,845,227,799,319,924,983,318,984,062,547,275,
857,220,981,357,775,087,596,051,452,066,471,619,415,757,074,888,211,567,913,
435,770,652,881,164,546,877,820,845,935,064,473,977,383,680,215,267,432,176,
258,867,978,245,002,514,453,681,195,466,886,087,402,694,372,380,803,651,495,
269,585,005,414,910,796,524,973,762,599,127,525,223,553,521,220,148,893,638,
688,802,115,989,791,570,404,351,804,674,437,269,664,103,703,138,421,720,293,
954,865,505,507,013,451,143,349,929,020,775,122,305,391,233,269,987,216,416,
294,988,302,509,277,909,526,486,578,888,280,858,255,095,927,530,955,043,813,
754,339,036,574,856,841,103,222,130,643,116,369,285,117,446,395,977,222,331,
922,618,476,827,867,656,601,267,822,992,003,978,614,758,918,613,151,021,419,
858,390,446,693,557,937,057,339,356,530,056,116,942,327,013,391,469,092,421,
848,426,062,087,247,255,005,665,958,592,560,777,759,481,620,524,813,227,682,
072,336,936,963,170,645,713,127,238,827,539,078,987,505,190,946,575,100,667,
283,651,220,575,554,930,834,609,825,099,508,440,609,830,800,827,131,672,353,
044,547,907,216,896,856,511,686,573,714,847,016,042,931,179,294,430,230,245,
981,838,228,894,561,986,443,977,029,182,569,026,982,292,187,115,461,347,361,
418,252,107,267,644,418,207,494,884,732,685,518,195,363,611,584,204,657,435,
981,983,665,839,887,005,259,808,432,527,242,691,005,190,831,338,771,115,580,
334,329,991,481,912,225,926,853,206,606,899,164,632,628,655,028,052,338,094,
444,243,386,659,558,106,993,822,122,522,048,066,748,899,438,820,805,550,707,
771,468,431,834,095,299,248,128,244,096,127,051,215,581,665,314,416,578,340,
398,823,592,798,796,457,655,484,777,648,685,648,691,594,429,613,863,985,640,
352,142,367,914,276,281,257,010,498,642,025,137,534,511,560,389,795,603,712,
262,072,739,388,397,816,326,828,486,837,470,066,290,489,273,747,717,468,295,
874,544,618,590,613,550,449,654,592,748,109,819,602,502,536,452,968,580,384,
887,163,089,783,173,440,599,736,545,167,839,738,733,186,272,405,664,671,064,
570,778,386,053,570,352,774,666,040,949,974,242,417,447,458,918,112,922,601,
709,377,279,836,720,966,238,118,046,541,824,120,286,508,569,963,471,720,674,
131,421,045,749,568,127,896,654,411,283,973,507,460,878,405,974,886,103,120,
020,204,515,745,018,983,943,976,345,486,599,123,999,017,914,932,929,811,315,
179,106,941,172,243,696,262,869,535,231,528,053,803,839,089,202,007,331,683,
774,951,653,043,900,777,914,157,740,387,165,503,024,933,791,323,937,744,665,
318,229,784,827,399,376,716,659,141,370,450,342,360,951,516,283,604,045,784,
186,916,607,554,022,556,193,125,010,299,836,325,558,298,044,381,619,793,859,
033,975,079,276,887,996,462,421,260,293,073,092,151,460,865,918,382,573,912,
395,544,882,692,690,062,093,350,373,811,540,351,914,577,448,616,966,089,950,
858,230,114,326,490,907,323,108,614,481,990,093,651,411,094,271,235,155,914,
623,134,990,260,416,179,070,313,472,946,062,451,160,306,325,335,426,319,344,
406,695,254,920,006,184,979,649,986,429,838,434,109,924,798,206,339,695,949,
085,499,417,741,252,536,376,677,514,792,221,846,452,150,022,647,809,033,402,
662,755,674,596,479,599,412,320,911,567,766,296,667,883,308,313,871,265,980,
344,328,356,153,200,410,727,136,442,612,227,673,061,488,604,778,888,648,963,
832,487,822,294,201,529,402,376,117,408,263,882,827,152,297,477,561,149,516,
745,023,143,177,524,703,688,327,027,651,429,437,658,394,233,446,715,919,074,
644,345,568,885,080,410,947,064,131,554,143,288,691,502,868,159,888,700,676,
832,858,158,760,224,499,453,319,396,712,792,994,479,984,192,007,783,579,810,
292,057,263,300,357,874,450,862,108,460,164,248,144,795,278,419,655,714,246,
999,757,581,564,771,631,927,280,937,569,520,160,769,373,572,046,587,134,131,
897,789,243,438,388,688,968,126,767,037,913,616,787,513,263,757,596,512,542,
486,399,589,452,070,909,224,889,324,878,872,410,048,142,513,754,591,986,346,
551,752,992,361,693,319,059,678,233,878,607,065,182,276,430,301,499,229,143,
317,451,880,291,149,126,932,806,913,303,168,346,010,292,677,074,213,976,133,
561,673,832,255,084,250,086,855,045,359,581,250,331,272,584,536,605,851,075,
308,491,543,881,209,411,154,574,327,804,455,771,812,549,055,899,714,645,709,
068,497,004,296,150,723,338,876,677,003,514,829,018,938,809,470,630,210,750,
352,244,779,653,702,953,898,302,510,279,761,549,712,584,171,699,945,005,904,
491,974,632,186,479,731,766,277,776,104,211,391,018,223,684,971,081,262,760,
254,338,701,864,491,278,321,247,063,007,458,259,853,840,000,367,392,197,927,
285,230,596,287,687,562,114,452,345,013,353,785,149,298,821,251,697,701,123,
330,713,794,398,485,302,816,113,889,794,885,412,230,830,332,632,586,052,434,
336,456,558,889,091,024,268,804,766,332,093,154,795,687,369,732,458,201,225,
624,509,120,792,600,522,130,066,162,682,096,621,982,743,687,229,766,813,064,
412,808,955,929,014,400,929,885,554,905,769,510,129,845,943,751,599,831,130,
389,457,087,484,946,120,781,667,983,793,818,398,872,732,873,977,411,302,980,
729,462,229,835,012,374,475,312,415,061,450,125,881,276,852,644,514,882,435,
706,803,361,287,402,598,265,617,460,043,140,823,252,343,674,598,422,375,697,
865,002,522,011,518,471,131,443,361,908,180,408,374,383,150,347,754,455,673,
946,341,325,910,801,904,317,410,197,184,386,921,724,182,924,016,683,135,941,
180,320,896,599,051,653,935,969,174,742,864,997,502,984,025,550,114,170,226,
049,999,512,154,408,889,670,855,167,037,719,234,285,101,149,802,010,778,825,
390,658,168,080,673,286,917,836,646,698,866,016,390,896,545,112,766,885,130,
175,195,993,758,724,794,311,266,776,149,739,545,102,484,283,948,476,856,051,
248,267,261,891,154,308,954,106,914,825,649,303,196,084,096,278,716,974,564,
895,879,963,774,393,087,080,744,855,152,634,178,055,924,252,985,588,177,225,
304,339,346,451,272,953,014,407,194,900,732,456,577,311,322,675,692,312,876,
773,883,404,794,904,278,059,958,046,547,266,871,376,224,842,580,790,716,398,
144,653,574,804,029,196,612,604,874,317,604,905,630,723,567,127,241,121,136,
419,939,427,348,510,442,578,669,337,294,632,218,588,277,616,177,915,792,481,
479,867,367,190,662,793,671,028,260,318,821,746,500,163,248,923,162,881,704,
520,297,726,420,191,095,880,068,642,322,964,260,751,437,494,082,481,618,973,
251,349,335,776,454,058,614,232,987,900,655,088,626,945,472,109,117,656,308,
666,857,171,963,277,603,871,683,323,420,253,649,658,882,373,630,203,492,701,
891,894,865,723,404,954,903,512,238,482,369,468,406,758,210,694,254,135,723,
300,085,120,403,974,054,546,468,636,613,883,654,416,042,618,238,560,428,291,
796,954,196,693,914,218,030,046,444,265,808,959,733,805,305,807,319,738,263,
322,468,010,956,429,109,069,558,698,769,036,926,851,746,249,772,676,933,550,
602,038,955,120,512,173,423,449,474,952,759,241,475,481,047,813,168,061,393,
800,813,079,892,105,577,156,106,855,660,650,990,811,147,834,903,906,552,496,
425,934,929,240,238,598,569,749,267,909,345,824,496,747,750,005,074,499,924,
415,180,043,767,390,722,487,741,411,399,161,077,690,627,814,653,114,119,146,
236,079,942,685,076,006,991,105,505,899,677,873,162,765,086,412,043,798,127,
562,228,366,819,652,588,011,692,447,769,906,739,746,641,424,955,006,671,745,
561,318,423,421,875,190,342,816,142,958,912,539,514,649,623,567,470,830,183,
152,040,839,522,337,015,232,988,239,271,306,108,393,344,499,689,120,060,425,
518,343,321,868,857,786,120,448,558,298,272,043,608,140,311,271,290,886,637,
830,754,102,482,353,725,324,255,552,982,418,547,310,768,890,044,461,487,660,
169,383,507,998,682,525,374,734,340,244,822,705,831,632,838,254,925,377,280,
687,164,533,719,695,679,467,419,293,964,740,606,097,884,459,373,870,123,121,
136,464,240,857,106,143,150,877,663,678,267,069,098,223,467,587,457,193,205,
434,937,767,198,297,376,272,342,293,556,382,400,158,019,840,707,832,092,273,
387,015,788,820,137,063,672,763,688,162,452,261,048,847,885,013,639,788,617,
778,909,552,175,089,173,635,915,797,263,218,021,446,763,968,264,263,171,332,
048,245,034,843,373,262,540,622,956,737,868,032,271,870,393,454,139,724,735,
166,897,772,267,230,866,061,431,542,337,496,440,087,650,818,792,596,422,215,
986,407,357,377,414,274,108,340,738,392,756,198,376,057,129,193,939,650,649,
160,404,685,822,601,476,655,661,321,235,703,542,331,173,769,689,480,336,583,
940,547,625,758,480,611,714,616,376,730,074,837,126,320,726,368,756,514,988,
750,971,464,897,585,837,864,172,917,936,067,241,409,205,240,106,767,970,621,
809,831,694,950,792,434,705,438,143,893,115,524,801,622,358,099,664,716,932,
783,872,633,353,931,286,565,204,188,050,785,391,867,783,216,286,413,759,048,
320,681,237,856,462,088,518,389,136,736,566,763,745,536,754,301,621,769,331,
203,568,240,166,263,908,652,920,796,954,374,735,108,880,818,798,988,966,633,
331,368,673,007,285,439,084,980,683,850,730,250,031,733,166,126,397,709,668,
698,894,770,602,445,583,762,417,202,217,291,377,067,030,669,322,195,613,324,
760,042,248,568,335,042,262,551,183,474,775,756,485,423,577,197,331,652,127,
379,700,722,284,889,478,457,916,223,689,444,683,793,066,725,923,389,088,448,
821,642,984,982,876,496,971,367,314,900,661,371,804,343,312,762,664,604,205,
954,953,865,399,722,275,264,234,289,921,914,657,335,274,147,546,361,123,145,
457,273,533,522,207,735,662,248,874,020,882,033,470,342,795,164,630,891,072,
552,107,186,507,505,924,191,860,080,570,370,559,490,134,151,416,029,532,469,
120,470,996,466,289,895,536,717,216,200,682,963,457,022,275,091,680,612,142,
003,298,699,312,648,608,959,540,926,424,040,674,037,179,217,562,504,914,942,
351,426,871,241,328,398,463,559,542,754,543,129,735,862,831,521,023,200,715,
049,422,222,092,753,071,850,924,191,015,417,258,590,101,568,937,041,475,740,
769,467,310,668,808,247,860,794,580,454,462,805,825,380,047,401,284,975,731,
272,986,048,864,341,737,421,262,439,682,931,258,705,517,190,989,756,744,523,
304,510,033,029,858,574,210,132,088,894,932,482,259,917,962,241,729,034,492,
176,157,049,110,506,412,696,846,180,439,011,047,065,669,652,169,247,436,759,
213,878,063,633,345,577,572,243,027,358,996,939,434,920,331,749,318,643,872,
055,721,445,130,953,637,994,966,545,047,996,129,327,417,982,991,340,736,575,
807,200,081,309,355,453,748,337,351,011,880,580,663,486,552,424,412,881,103,
136,034,377,218,661,126,587,222,922,578,270,994,114,413,343,316,607,582,711,
754,449,143,825,578,300,670,381,012,088,103,870,456,978,930,138,220,673,653,
995,269,855,897,293,907,902,563,761,614,272,101,665,345,963,236,571,751,925,
956,376,832,905,240,581,676,586,978,978,725,608,941,737,020,454,252,374,230,
252,766,995,833,899,813,713,661,297,728,346,774,934,373,340,938,231,620,616,
183,414,597,967,117,355,065,413,559,553,133,021,048,441,125,146,401,787,205,
559,304,910,324,756,594,724,866,228,413,204,452,605,565,720,234,874,030,311,
663,692,498,160,827,636,244,965,304,992,768,858,936,337,666,731,290,219,064,
436,442,765,213,936,714,059,725,692,720,849,104,507,222,286,693,078,336,253,
566,393,987,735,294,861,497,533,429,238,743,166,964,700,531,131,822,292,631,
592,384,567,985,920,771,110,675,587,520,428,952,462,546,642,512,007,732,117,
301,695,204,731,762,165,849,180,926,844,770,100,855,180,289,273,735,229,454,
142,744,185,844,400,960,893,405,054,937,950,559,748,783,355,302,686,029,897,
081,615,253,366,925,873,994,832,143,762,389,252,312,209,611,369,355,513,880,
461,536,285,691,514,106,605,725,809,323,077,568,357,960,211,406,319,595,006,
130,482,936,584,118,089,052,278,902,357,501,214,750,363,185,215,438,768,464,
644,448,397,368,304,732,891,173,350,760,471,517,453,394,113,752,890,811,922,
374,720,666,589,650,179,048,731,033,123,776,424,495,277,501,899,428,622,679,
988,318,898,615,285,979,654,614,671,173,376,873,180,888,654,828,271,292,306,
044,985,470,947,129,193,194,774,271,524,254,153,188,452,208,241,683,800,840,
168,999,152,124,425,478,013,191,363,981,588,254,505,654,114,592,168,955,856,
316,861,126,334,517,211,686,435,115,669,986,106,612,395,994,294,445,818,745,
777,670,577,438,985,573,638,289,801,479,883,729,364,401,381,329,046,255,521,
138,577,486,362,999,088,971,305,872,997,315,501,706,732,090,970,784,946,126,
543,191,381,994,571,044,413,984,844,086,957,037,904,976,547,409,463,360,654,
625,102,402,001,882,983,240,887,884,969,859,291,649,411,773,215,857,334,660,
130,692,907,172,919,184,569,931,693,907,864,719,315,007,317,584,083,912,813,
185,582,942,904,510,639,374,028,082,173,646,264,281,169,896,040,064,333,981,
155,169,495,132,033,386,988,517,460,683,061,714,598,936,217,761,706,923,205,
537,614,203,348,539,378,045,972,274,643,891,327,418,382,002,975,778,298,702,
565,111,296,502,163,330,132,027,190,668,641,025,334,722,859,638,456,766,576,
196,373,023,142,628,990,187,307,816,382,852,073,542,936,622,896,147,696,014,
232,926,393,112,318,893,088,132,700,590,086,538,208,258,058,097,918,620,904,
743,948,279,688,284,907,757,354,389,819,305,457,449,015,760,677,525,679,708,
523,405,373,515,415,303,890,224,959,724,241,459,560,463,174,030,743,004,770,
574,587,728,043,910,578,065,134,231,655,831,405,149,061,813,288,922,755,780,
534,368,168,849,325,588,558,489,070,312,041,940,064,641,626,585,918,400,302,
840,332,780,314,887,024,202,125,536,432,930,596,432,705,435,723,053,886,522,
729,120,461,926,665,677,951,920,848,396,798,285,239,438,457,181,288,022,742,
339,737,293,118,763,217,900,576,468,341,122,337,114,705,104,182,374,546,656,
576,864,656,148,058,442,332,465,914,368,543,429,760,820,464,616,933,761,931,
082,367,874,851,580,792,987,003,686,066,383,542,822,621,206,278,492,780,334,
952,866,438,649,672,370,959,744,438,895,583,828,090,081,828,890,568,884,110,
556,919,248,315,022,637,806,719,826,457,792,228,019,869,352,116,967,734,964,
095,770,363,557,725,595,124,450,107,631,669,501,822,913,862,041,351,586,451,
553,285,403,007,873,505,300,975,305,859,202,597,050,407,862,666,028,047,035,
758,944,304,207,305,609,198,001,495,219,967,891,938,713,752,450,912,785,246,
859,289,766,839,810,937,832,676,789,433,575,692,777,176,901,921,517,399,997,
706,108,108,886,183,060,728,355,440,018,582,565,648,776,139,570,722,152,350,
629,020,333,459,470,890,985,111,323,742,358,610,704,222,399,540,180,147,066,
262,417,715,026,839,429,852,613,306,251,925,037,050,127,252,042,810,849,675,
486,607,171,814,434,105,986,260,781,950,027,892,538,779,707,384,972,987,334,
844,584,424,685,875,421,434,260,879,912,541,223,746,767,538,786,826,555,666,
820,617,250,015,395,912,410,744,810,080,635,966,770,368,220,708,084,045,574,
640,363,186,717,513,327,144,178,536,316,588,882,892,289,145,717,216,906,388,
480,439,538,910,879,326,970,762,542,889,832,355,099,790,167,829,013,557,277,
140,400,352,187,827,491,727,595,962,276,858,794,656,626,402,956,807,988,887,
822,602,592,228,405,118,285,906,137,581,690,396,457,710,619,213,161,934,440,
599,623,170,488,961,920,566,997,548,641,945,770,130,188,160,357,139,315,685,
792,350,034,276,713,566,920,145,933,212,522,194,345,208,450,527,354,152,430,
656,335,789,532,800,224,215,660,288,583,483,160,248,706,533,611,489,539,098,
236,045,216,164,002,604,093,128,629,576,412,529,268,243,763,595,017,617,331,
866,717,082,170,344,300,507,427,885,757,854,325,130,090,949,341,016,461,970,
862,777,450,440,878,643,439,861,517,468,344,931,024,938,400,661,545,983,640,
531,357,584,619,027,569,521,442,552,283,283,263,329,511,967,024,431,119,234,
406,015,352,870,072,053,547,837,447,951,855,080,707,069,064,502,628,023,835,
403,100,913,142,576,646,571,540,673,045,011,636,637,039,363,298,284,424,893,
507,655,386,972,841,709,085,077,296,206,383,082,810,044,787,273,566,920,500,
572,450,173,239,240,323,478,817,187,954,255,226,788,318,929,908,171,405,956,
776,856,349,953,443,104,891,275,418,100,113,089,489,468,542,014,527,435,769,
472,833,271,891,409,336,172,577,705,095,205,011,319,206,697,318,016,416,577,
217,361,814,459,218,526,592,037,379,438,468,006,111,661,017,169,891,191,171,
586,291,256,689,104,232,457,432,143,584,455,608,700,189,306,290,284,962,910,
955,756,138,052,187,408,339,567,699,867,360,307,923,298,775,145,782,682,855,
616,172,169,544,517,362,999,683,816,908,789,082,848,550,352,702,719,246,924,
047,219,437,564,007,565,150,614,913,827,771,561,990,300,857,081,951,749,128,
777,284,108,870,507,104,470,302,580,141,112,877,130,420,828,877,949,909,922,
617,806,898,332,797,692,780,227,786,091,800,469,979,768,438,860,412,284,111,
149,627,871,253,748,059,145,150,321,008,640,919,048,215,397,407,419,807,869,
554,387,152,699,392,755,096,468,156,049,966,194,277,263,197,120,388,854,272,
829,290,324,160,795,777,715,322,840,022,727,157,486,916,512,770,352,277,753,
053,904,462,675,716,850,019,076,175,137,878,974,266,037,425,982,976,244,219,
144,283,394,826,894,469,441,709,432,854,254,584,166,749,079,664,169,645,064,
890,822,499,059,332,267,017,210,751,839,682,559,267,488,420,667,802,630,373,
565,460,771,007,343,087,912,768,472,666,945,293,735,138,178,023,232,495,889,
803,837,916,156,385,477,926,195,770,511,271,251,261,675,002,649,688,738,910,
303,474,410,492,040,444,415,715,401,877,726,811,284,254,833,236,401,566,016,
037,640,784,694,239,851,980,043,032,813,692,886,717,843,920,842,827,839,384,
020,920,081,026,997,843,059,128,854,610,636,189,036,145,006,257,079,743,353,
576,531,004,799,319,518,172,533,506,309,161,021,612,083,884,264,118,880,058,
267,872,367,392,581,905,641,278,805,722,011,646,979,722,192,907,483,303,460,
919,267,070,571,391,933,607,538,586,418,845,370,284,586,221,250,075,736,858,
838,644,423,814,587,939,569,113,791,075,508,165,054,250,766,908,204,207,656,
366,380,246,313,288,388,538,846,041,329,952,607,259,447,583,163,194,238,142,
300,367,195,412,083,109,556,657,978,593,356,331,563,493,838,558,510,335,283,
785,381,792,834,197,574,308,900,679,134,112,374,745,687,296,370,066,987,537,
254,474,541,175,915,124,900,308,263,008,459,056,014,634,781,319,225,275,224,
278,495,801,497,424,751,172,239,939,449,208,824,745,996,068,376,039,942,869,
184,501,578,099,905,692,573,583,341,191,743,772,834,329,074,815,276,608,738,
341,171,859,718,823,832,188,238,293,730,267,373,004,542,443,027,097,350,127,
574,148,208,097,430,981,753,766,533,533,909,850,624,581,470,640,049,016,924,
398,809,766,234,451,604,914,507,554,127,386,130,015,915,105,260,467,895,389,
629,344,475,665,863,022,851,155,460,804,101,442,410,146,038,134,129,500,030,
397,975,402,745,736,138,535,803,406,760,055,039,324,503,039,823,831,707,943,
437,920,875,807,322,672,859,250,540,952,939,888,656,674,182,337,590,596,485,
101,195,234,715,553,262,664,709,054,953,543,698,978,138,919,180,678,898,970,
881,742,398,596,768,612,202,655,669,223,948,878,350,495,359,152,694,451,101,
369,837,164,484,379,449,496,369,891,062,073,815,301,810,722,263,981,783,061,
572,638,956,568,369,620,627,711,049,455,713,755,108,089,278,985,254,480,120,
259,641,635,929,002,460,773,307,772,521,184,278,048,702,969,784,059,362,169,
349,437,019,793,562,242,840,588,657,309,337,620,573,805,239,650,199,542,200,
435,213,684,004,276,983,388,330,460,136,240,617,789,061,997,698,489,711,723,
389,220,499,020,292,179,153,459,357,084,579,046,543,621,880,016,057,053,996,
179,686,693,221,039,373,694,919,758,291,862,850,481,010,932,775,791,628,174,
961,177,965,169,740,841,694,014,379,084,081,726,710,403,893,360,388,346,134,
740,040,996,990,965,882,212,418,134,233,400,068,640,860,956,578,225,707,986,
256,687,003,173,266,674,146,424,895,837,531,363,598,593,078,065,567,257,709,
556,163,946,645,316,748,506,964,285,360,255,665,794,696,680,436,157,756,598,
941,718,778,281,441,513,243,653,043,727,485,472,336,032,142,671,420,685,883,
302,522,578,923,629,964,779,655,038,772,144,653,775,315,041,005,060,613,639,
231,684,835,212,529,084,880,968,289,232,552,233,680,650,946,330,396,171,712,
379,446,597,893,727,841,568,344,170,231,263,086,686,376,285,400,371,838,007,
460,207,398,861,482,047,618,321,693,851,123,822,818,759,143,312,942,707,674,
183,112,939,855,015,164,740,499,421,923,420,496,575,747,701,662,839,933,951,
365,236,189,166,378,528,592,493,011,620,447,411,943,242,560,983,726,564,694,
160,748,032,932,914,335,462,341,306,552,361,365,352,992,413,773,550,510,958,
109,523,929,252,948,242,778,544,186,803,216,902,903,999,669,745,483,535,834,
292,503,040,974,705,540,602,877,397,137,210,057,867,769,513,985,581,476,802,
428,071,929,219,932,379,441,004,719,577,128,065,308,623,868,379,685,741,919,
891,996,314,511,455,976,927,806,474,982,567,806,858,886,158,723,774,290,836,
725,406,183,253,430,609,498,231,372,876,192,428,990,210,122,552,969,483,688,
039,166,570,664,635,150,981,542,217,184,144,055,960,204,828,169,603,033,125,
647,188,593,414,846,106,868,100,661,897,807,646,185,405,695,889,980,925,780,
483,637,598,726,001,177,859,552,785,601,480,215,492,689,595,758,275,895,926,
793,092,246,493,251,567,649,578,885,094,129,707,471,208,782,344,005,724,349,
961,284,920,100,626,408,712,803,198,136,980,064,186,272,029,036,559,843,089,
911,279,473,778,172,121,399,451,465,568,918,277,526,814,841,786,956,951,518,
652,363,742,599,572,342,698,827,054,727,758,312,600,658,802,731,446,319,773,
265,062,487,504,285,023,746,248,783,918,836,486,459,914,188,226,233,596,064,
598,079,622,001,339,511,000,185,701,110,898,749,998,898,507,491,321,395,280,
897,886,195,935,205,102,045,598,743,455,159,305,957,559,420,610,859,697,753,
556,017,330,479,292,339,347,381,152,445,736,198,138,937,926,979,864,497,109,
132,522,164,730,430,689,619,041,145,015,896,255,123,691,361,191,265,669,881,
450,755,757,454,967,448,420,570,958,612,677,074,182,887,806,513,873,365,598,
920,546,907,914,627,216,365,492,831,476,955,581,377,315,596,708,166,098,689,
746,904,015,759,477,914,402,741,425,478,464,264,345,013,899,126,994,323,868,
804,796,700,401,601,750,499,315,785,382,362,209,719,917,605,156,164,900,221,
625,372,873,791,023,035,131,227,186,624,759,010,417,782,612,172,047,066,615,
194,620,323,808,408,861,469,779,686,599,078,608,065,411,581,182,386,267,701,
222,548,896,068,762,332,038,651,492,760,799,724,768,037,548,885,263,350,337,
400,101,767,771,947,645,366,662,929,626,285,927,296,887,991,705,535,935,061,
949,617,518,549,889,728,136,849,010,866,775,000,080,118,185,334,463,557,334,
701,907,401,109,741,370,140,857,130,420,375,974,246,870,155,663,690,675,398,
985,504,484,424,582,089,339,699,377,422,930,737,215,277,355,424,768,507,206,
889,838,403,919,448,343,959,471,249,484,431,127,880,784,680,640,196,198,840,
149,365,042,018,106,124,113,218,196,496,116,642,900,871,996,741,841,224,079,
608,051,996,119,041,928,393,674,487,704,578,401,548,762,925,278,924,621,836,
412,738,764,797,946,520,935,005,158,448,273,532,494,706,281,530,209,972,770,
866,540,507,258,923,204,588,080,356,822,035,222,433,943,451,159,680,568,621,
915,100,866,903,958,459,622,578,781,168,647,197,188,353,035,181,432,456,049,
878,415,997,845,384,209,383,647,646,569,600,762,824,955,505,040,951,185,020,
588,948,516,773,871,980,536,447,285,583,729,871,864,015,309,014,507,415,973,
505,813,707,385,017,508,057,074,537,771,200,831,137,913,778,569,326,164,817,
262,144,293,479,163,231,566,621,792,681,696,635,909,217,450,641,396,025,246,
436,602,283,222,109,546,215,888,125,858,084,672,729,650,169,517,190,245,702,
923,771,871,320,523,272,647,664,316,631,953,498,601,223,048,988,542,963,154,
268,546,912,486,410,457,580,530,868,748,516,512,074,627,334,296,789,771,905,
818,726,597,206,331,149,707,153,771,333,587,289,693,497,793,722,412,030,888,
481,540,025,798,975,780,053,334,257,651,366,431,279,790,434,857,813,168,095,
694,058,647,775,837,268,780,119,037,201,310,219,688,369,420,545,681,293,413,
041,139,124,695,140,205,197,894,259,619,666,468,303,947,361,739,031,476,832,
694,336,330,075,680,004,404,327,049,671,888,249,051,014,398,164,047,860,920,
254,319,817,694,432,328,797,266,914,066,885,794,501,052,717,456,355,187,436,
135,353,244,587,018,038,684,937,028,197,138,411,513,875,677,194,087,526,575,
082,126,771,127,774,673,343,839,914,142,484,765,644,540,177,208,116,876,798,
682,553,141,760,818,796,568,491,185,400,968,440,412,828,393,203,594,452,535,
289,802,679,866,203,056,155,745,555,276,388,730,663,867,295,699,118,206,781,
909,885,709,056,855,102,738,869,506,150,758,508,167,182,267,878,760,183,015,
187,959,465,542,812,556,916,639,136,800,471,867,295,248,773,511,539,528,939,
111,074,288,740,773,018,322,993,284,427,461,268,869,927,637,164,876,795,729,
443,451,209,580,028,580,118,861,519,532,703,032,291,291,120,863,504,028,480,
495,775,735,393,147,856,865,091,755,264,457,943,604,392,232,382,038,434,102,
492,360,401,102,596,747,964,147,411,145,365,929,049,120,050,482,321,831,265,
211,654,947,931,205,563,164,290,732,390,014,907,971,951,686,290,261,259,267,
905,006,816,826,976,127,156,852,100,325,282,476,834,715,046,832,858,021,148,
793,652,135,900,370,699,159,042,741,353,705,485,064,546,998,926,408,001,997,
127,998,371,415,170,758,284,314,537,858,546,404,225,464,670,628,497,676,843,
680,002,679,951,680,868,521,836,653,001,298,022,448,666,291,498,292,083,596,
164,161,183,704,289,824,820,083,533,318,344,514,482,746,972,578,598,237,385,
916,645,559,445,307,025,608,769,808,249,204,886,195,912,872,316,264,156,785,
689,913,442,289,906,874,791,338,381,015,213,451,290,447,306,660,319,763,679,
234,324,089,034,078,331,336,147,830,916,424,153,454,634,695,329,635,695,668,
885,224,400,036,673,692,814,974,855,452,429,200,971,738,229,785,906,098,988,
513,052,565,584,796,337,858,181,881,495,776,158,427,979,467,842,069,045,549,
214,264,067,316,662,436,240,096,474,367,876,576,403,426,276,468,999,972,372,
743,220,513,423,645,844,281,016,472,377,978,590,876,407,191,124,054,638,680,
946,823,542,941,808,498,049,000,098,623,964,559,245,650,375,468,459,050,452,
382,916,492,215,144,706,834,959,959,405,089,513,290,842,621,068,822,679,500,
044,710,572,311,816,685,114,449,664,903,306,429,254,792,689,337,283,337,745,
999,283,312,740,740,662,679,820,130,947,381,053,145,055,249,262,280,693,620,
013,163,061,952,488,728,383,119,601,926,091,374,618,958,194,941,719,694,875,
144,514,399,952,587,424,041,874,846,562,569,805,770,601,844,520,466,065,859,
004,631,328,862,888,463,235,845,084,854,846,536,475,533,895,748,783,484,152,
160,128,527,253,396,971,698,132,044,266,839,606,374,983,632,809,493,623,533,
254,607,208,208,623,171,066,625,028,208,706,236,917,689,462,314,507,576,121,
507,384,124,228,238,036,757,011,419,033,958,113,870,700,523,774,121,177,739,
061,748,350,809,523,300,154,062,209,877,964,197,364,731,778,930,325,897,238,
371,632,462,914,625,216,199,245,447,222,601,339,629,769,175,099,732,520,390,
778,486,256,761,478,219,775,913,034,954,065,598,807,069,505,745,051,670,480,
445,554,938,373,296,810,165,809,458,947,758,327,593,152,786,948,246,654,752,
373,722,758,994,143,399,176,615,903,179,387,090,313,449,541,053,581,067,022,
650,334,713,088,746,438,233,745,181,895,718,054,120,121,643,487,945,286,050,
291,284,451,593,459,415,742,688,829,020,394,617,486,105,954,670,577,911,249,
428,023,013,399,978,128,529,764,763,837,817,471,758,054,773,926,683,675,573,
814,716,182,508,534,955,028,347,321,413,858,943,757,552,529,031,649,300,310,
879,335,929,466,537,144,258,752,982,455,551,752,423,197,866,500,917,236,509,
161,979,249,359,357,114,137,570,589,288,851,534,165,227,044,359,101,592,464,
342,469,630,478,481,469,691,017,344,664,457,654,721,875,874,556,073,687,234,
253,459,287,202,415,713,244,248,498,111,921,361,529,361,276,889,003,651,795,
234,266,126,256,545,323,020,844,172,320,231,346,436,404,528,657,326,073,699,
942,896,052,916,231,721,486,424,053,743,448,434,101,888,264,153,826,728,442,
756,635,136,613,184,265,073,538,719,598,077,768,209,917,653,109,110,797,524,
666,579,062,428,908,305,696,447,166,435,626,306,465,154,010,742,127,092,115,
076,567,092,430,564,924,134,105,331,383,340,994,337,180,821,511,084,294,071,
266,661,949,845,387,008,926,879,596,483,516,141,918,831,746,635,576,729,274,
633,747,519,562,582,843,411,430,764,442,504,906,567,128,321,810,433,020,500,
990,821,173,491,654,350,135,126,577,036,534,347,168,187,895,682,944,294,391,
789,753,196,816,933,906,226,113,828,806,392,698,967,686,018,937,445,818,370,
786,486,264,774,989,515,235,369,506,816,735,133,995,339,165,042,467,562,041,
846,208,300,044,144,413,496,425,856,671,279,062,936,411,440,038,320,393,412,
837,086,821,753,585,653,425,607,366,636,438,958,300,182,890,787,628,001,224,
529,660,432,414,668,493,462,893,814,711,855,287,547,107,270,061,009,992,405,
848,366,539,588,241,730,615,925,795,172,388,655,685,573,942,716,234,219,271,
591,926,212,453,379,215,350,125,735,019,808,260,095,534,469,605,050,668,334,
033,328,801,710,127,274,884,455,236,264,317,653,629,436,865,141,858,626,793,
881,335,775,199,226,928,133,424,042,284,600,821,964,093,238,715,206,300,066,
336,170,050,804,661,004,843,957,803,662,260,717,367,179,395,910,873,359,362,
471,707,272,451,553,683,630,452,987,200,821,262,292,991,395,806,170,770,599,
173,441,899,112,118,852,651,525,404,772,592,357,332,785,698,151,873,039,583,
304,964,848,841,360,059,123,343,451,058,003,430,960,048,902,699,320,512,357,
036,075,091,766,916,117,166,214,016,248,411,437,275,389,028,544,329,706,089,
124,067,291,999,719,561,837,145,575,554,604,586,978,013,033,623,725,839,048,
491,536,790,886,811,314,640,549,174,840,625,815,229,308,926,226,176,954,015,
840,016,613,439,689,330,471,727,528,915,942,456,646,810,558,983,560,148,527,
953,840,047,760,645,530,149,652,036,356,318,475,001,944,173,369,005,081,902,
711,843,545,961,951,840,391,913,472,177,100,134,855,545,982,721,280,351,649,
248,885,305,984,935,097,987,084,434,473,858,619,808,565,468,018,171,434,957,
963,959,576,856,972,500,226,437,645,414,099,941,946,323,915,311,985,434,035,
376,607,414,674,985,843,258,701,692,199,133,647,180,446,853,127,363,340,123,
518,532,987,351,488,534,917,751,003,657,645,115,454,320,291,097,111,521,797,
105,370,364,323,740,085,318,130,488,632,114,162,314,197,719,059,628,875,954,
294,257,708,286,459,032,508,513,983,512,297,986,024,448,252,848,575,151,504,
348,722,723,553,570,531,391,426,437,575,568,852,829,617,612,868,578,960,345,
297,245,024,514,721,913,255,920,294,759,534,130,921,562,485,887,618,216,798,
422,057,154,052,431,625,001,531,485,352,900,791,773,059,965,661,645,486,547,
419,159,745,948,931,627,189,317,290,605,403,339,673,371,938,876,004,598,924,
301,213,856,460,360,734,174,598,637,277,574,174,736,422,254,366,421,535,320,
401,888,569,004,153,012,586,366,763,840,024,488,659,829,312,824,318,496,467,
555,359,778,589,070,579,803,321,808,121,136,253,868,897,866,175,115,326,528,
521,463,291,999,531,295,786,874,334,814,320,388,395,950,901,320,401,823,494,
815,634,408,313,172,167,979,635,323,912,682,662,807,029,687,819,148,363,717,
846,812,756,168,897,435,082,854,327,033,326,331,461,650,537,569,270,799,661,
983,894,467,758,867,592,993,472,847,476,429,472,062,512,105,003,706,039,294,
884,032,760,981,430,457,864,070,482,533,457,918,345,964,620,427,406,304,436,
641,246,046,590,488,033,620,222,244,345,178,583,830,055,615,780,974,373,802,
123,512,761,112,414,161,075,605,181,900,741,092,193,042,900,922,410,338,303,
676,020,671,351,760,394,595,620,820,503,450,485,106,087,767,525,063,934,863,
170,750,520,452,910,974,759,292,659,280,668,880,449,288,201,871,892,160,851,
910,846,392,358,700,870,114,059,729,814,818,039,487,792,177,494,813,073,913,
119,305,306,415,552,719,957,087,968,551,947,470,932,069,462,606,346,696,408,
734,561,189,856,071,910,789,035,011,179,651,698,732,699,629,396,818,673,403,
433,091,659,721,695,867,629,647,922,116,481,876,216,866,068,524,659,114,847,
806,676,106,373,612,581,916,038,374,956,466,337,065,057,619,933,357,855,516,
405,559,013,263,905,597,839,740,236,212,211,311,743,338,553,300,380,325,884,
265,350,166,082,977,571,267,088,849,102,673,201,256,911,987,073,082,507,462,
940,053,876,384,023,825,707,973,008,828,598,259,574,058,133,316,425,250,677,
803,525,658,960,954,305,899,846,162,114,882,455,587,560,620,670,194,351,446,
268,026,696,663,186,876,881,287,332,856,467,925,428,546,024,626,624,283,100,
105,380,779,278,378,529,107,574,035,314,753,223,144,502,919,409,284,369,564,
398,233,333,279,234,695,531,393,028,311,014,193,596,186,128,880,739,828,536,
826,857,491,876,033,133,939,578,209,502,828,160,876,122,699,935,930,217,285,
355,554,098,815,132,668,867,336,770,583,973,283,254,624,647,190,279,989,210,
115,227,228,436,973,869,165,474,555,430,714,847,739,945,284,459,591,846,158,
918,101,808,118,170,056,190,254,889,363,330,450,733,427,849,698,043,699,024,
796,279,070,169,140,864,036,438,651,820,001,589,812,734,298,896,476,166,034,
901,378,098,094,006,688,537,360,074,106,648,950,492,884,025,674,836,787,132,
753,840,835,495,189,897,346,688,912,091,744,256,746,842,684,597,064,659,135,
826,151,507,460,460,513,959,335,002,572,974,602,931,551,717,843,463,137,179,
996,241,571,256,516,478,598,158,827,435,487,684,393,220,312,457,953,798,068,
804,890,122,400,548,638,634,203,580,949,524,127,229,003,603,773,731,459,708,
686,160,848,760,823,144,757,195,941,858,163,054,754,728,723,934,116,548,994,
229,467,399,370,013,955,712,776,728,310,163,659,658,285,686,995,204,884,384,
668,793,091,658,586,814,433,547,131,921,198,744,719,407,040,178,506,797,275,
085,941,179,256,740,514,441,006,134,788,957,419,487,157,533,515,619,841,225,
479,592,035,941,604,318,156,965,840,775,664,780,820,332,355,307,715,056,769,
551,488,135,277,149,397,194,889,469,312,208,943,473,687,791,126,096,622,971,
095,615,632,632,914,702,652,334,029,299,868,424,466,136,549,659,901,065,341,
869,429,155,210,026,330,620,773,213,717,705,967,847,918,587,005,060,957,912,
477,583,831,146,658,027,510,011,859,167,844,139,617,186,795,603,578,851,673,
975,336,085,503,387,554,198,102,166,407,073,738,565,352,823,918,829,030,348,
559,795,843,746,798,916,904,760,093,030,661,865,462,127,912,540,264,857,967,
415,887,043,026,696,501,036,884,657,157,956,383,630,468,029,562,007,202,077,
356,956,944,593,224,989,245,620,476,212,206,100,512,077,055,699,721,137,846,
599,573,482,555,355,920,576,301,708,655,974,891,281,678,745,440,693,166,618,
740,662,038,913,764,486,691,673,932,319,774,924,910,922,927,878,941,759,871,
313,189,028,774,185,078,129,319,786,630,017,936,335,296,431,233,571,845,036,
690,896,269,388,217,629,762,071,590,045,297,961,240,143,016,218,940,374,362,
820,622,828,807,731,174,597,987,526,401,481,167,745,356,526,114,969,152,502,
966,618,541,646,826,091,763,099,191,632,274,370,357,989,922,954,235,278,538,
170,591,766,520,222,036,188,932,576,271,201,322,823,691,856,604,256,302,392,
661,972,018,986,262,781,052,049,752,805,460,653,433,483,158,858,722,330,228,
128,606,977,449,425,933,712,271,422,978,887,976,711,827,148,941,970,494,657,
627,489,311,774,644,790,093,785,402,536,003,423,567,486,161,394,975,860,358,
479,858,849,451,267,573,968,396,394,262,834,173,155,533,993,685,388,624,922,
849,057,125,355,293,178,062,107,226,684,041,533,527,695,395,179,316,065,585,
415,371,479,191,603,311,559,968,452,266,848,196,120,363,060,123,711,755,739,
300,538,370,674,837,228,040,511,654,329,432,278,246,104,148,667,916,525,101,
878,954,908,931,352,412,543,280,049,463,527,384,193,096,727,554,500,473,188,
761,680,643,125,255,361,535,722,987,393,601,510,254,579,873,924,951,111,513,
801,061,494,898,674,286,190,969,835,963,384,552,625,333,823,567,901,739,572,
799,917,956,626,720,985,840,386,010,676,411,662,813,743,542,934,465,059,518,
784,262,548,683,001,872,246,247,912,066,911,089,389,671,101,553,961,043,672,
970,494,664,225,766,629,279,313,031,408,187,744,676,297,056,373,154,447,159,
063,483,610,459,704,319,488,012,579,819,966,080,631,476,823,804,409,791,696,
788,858,134,913,236,878,659,733,829,682,053,224,930,121,254,347,749,950,939,
745,079,449,957,758,723,816,881,188,531,410,595,443,139,580,964,657,482,760,
304,339,161,351,731,237,745,430,311,325,327,318,778,790,764,410,788,380,340,
455,777,665,166,959,178,769,316,626,107,099,479,039,383,527,068,939,020,881,
458,328,058,080,068,408,813,475,308,539,734,733,695,699,485,328,390,522,740,
816,979,625,158,788,268,798,349,883,156,792,579,990,450,540,448,207,704,173,
817,524,274,193,105,161,829,768,706,077,340,754,600,158,365,733,958,930,961,
143,412,948,128,029,270,756,484,622,548,849,249,852,035,119,205,261,757,817,
807,619,980,469,932,220,060,226,933,712,260,519,640,411,394,998,696,210,139,
640,289,658,350,859,044,092,241,887,510,908,874,606,231,702,484,627,971,053,
487,789,895,965,479,225,592,793,537,390,515,214,067,932,349,190,378,540,451,
698,755,006,256,457,296,449,810,158,765,182,747,513,455,044,983,833,921,620,
627,889,819,348,205,166,609,981,773,735,597,593,998,737,915,937,917,077,697,
599,698,818,801,210,838,201,166,714,345,932,697,852,287,973,711,964,775,730,
353,291,204,433,807,056,881,056,710,498,696,847,219,489,290,437,145,774,193,
345,924,630,412,050,925,470,006,141,722,947,051,268,900,892,772,754,709,701,
009,492,372,062,517,119,629,910,186,263,793,050,480,972,280,313,074,040,720,
053,134,055,728,024,193,538,601,836,905,179,746,861,911,043,804,017,639,496,
886,317,662,838,913,553,221,464,918,378,368,885,784,141,399,648,187,605,858,
549,064,684,800,281,219,295,793,911,878,234,198,676,451,944,328,515,879,937,
570,526,228,838,570,575,727,713,015,235,215,816,196,798,500,932,698,341,799,
477,317,642,743,663,280,606,952,792,368,326,295,164,981,404,167,472,229,581,
647,709,283,701,362,544,423,935,573,073,021,724,050,340,981,657,515,043,420,
021,216,300,895,098,343,548,911,514,258,124,332,977,100,794,094,388,493,646,
362,793,894,312,865,819,574,039,152,640,933,770,712,136,253,909,201,269,118,
692,439,503,993,448,122,525,630,018,074,181,852,318,875,390,917,223,037,712,
300,528,144,109,559,847,299,013,346,005,223,721,724,885,791,955,050,383,680,
307,044,069,931,863,141,992,246,254,545,662,462,242,193,221,850,736,527,425,
317,004,040,473,417,606,926,319,450,329,921,072,289,115,247,588,263,441,109,
355,027,879,195,703,881,635,730,131,207,848,662,703,648,190,390,793,270,266,
326,827,012,785,678,002,600,859,448,639,555,667,874,439,047,550,979,535,718,
354,688,250,831,001,538,880,426,166,306,075,723,223,777,199,995,400,123,875,
880,632,485,551,143,156,198,443,447,285,408,503,765,285,218,498,771,472,650,
142,080,986,840,079,282,126,666,468,648,077,578,341,200,661,138,808,415,027,
360,623,926,536,682,803,134,086,155,681,126,306,790,526,856,297,394,809,591,
710,410,367,061,324,989,988,469,066,462,753,084,276,217,672,808,906,677,842,
354,729,690,824,293,705,687,227,196,583,867,343,147,761,998,705,480,198,100,
961,314,806,785,146,629,547,827,519,566,419,015,464,918,208,230,771,287,557,
721,517,963,143,969,919,736,997,733,395,502,992,693,209,181,742,072,648,384,
286,335,576,313,894,542,603,741,770,776,569,768,686,745,828,397,671,596,816,
132,419,161,550,996,428,396,848,296,370,351,319,142,761,341,031,863,434,813,
253,983,046,301,678,061,718,884,407,348,800,796,936,995,078,547,793,634,114,
571,238,181,774,874,050,009,596,371,206,793,298,570,785,565,148,348,456,421,
653,816,124,779,706,186,918,093,877,751,152,122,182,545,818,276,803,495,056,
612,247,048,316,947,348,879,754,269,449,663,062,684,732,317,808,219,496,214,
824,974,047,004,010,810,014,943,755,241,996,829,852,227,314,405,337,488,113,
046,606,524,155,129,514,038,528,753,618,833,337,270,927,891,653,109,488,681,
899,649,351,439,413,635,632,225,886,987,369,747,828,998,520,524,603,469,474,
670,558,856,732,853,090,702,304,436,017,652,750,472,466,629,238,784,972,857,
321,609,138,770,528,177,274,159,455,307,336,922,468,077,232,518,596,033,366,
662,252,607,049,628,886,694,098,875,064,620,164,161,910,013,250,746,091,899,
996,699,462,484,677,754,340,299,442,106,610,391,455,450,558,665,299,714,397,
460,390,741,988,869,263,900,817,856,889,508,926,292,112,465,342,701,827,740,
156,285,007,355,291,085,464,568,887,154,474,002,873,256,174,997,054,396,265,
433,123,223,395,129,953,354,398,803,398,829,388,755,077,452,537,283,758,337,
095,273,703,187,046,797,349,907,855,809,912,007,709,502,816,438,818,039,779,
648,329,537,366,710,543,501,264,318,234,112,647,273,560,999,892,058,263,290,
234,395,261,277,131,189,396,846,884,132,194,591,139,897,332,594,304,403,402,
678,796,123,022,937,490,539,449,654,060,207,455,727,046,999,309,372,191,547,
654,629,864,494,317,446,787,514,480,865,256,551,730,437,183,120,698,490,787,
696,162,897,791,397,857,786,757,130,057,726,254,932,285,840,649,241,355,070,
790,197,677,704,371,227,772,610,321,852,151,290,938,469,920,406,017,231,346,
641,549,458,771,444,507,272,066,122,220,502,331,984,082,070,872,762,772,793,
248,529,857,792,274,789,775,442,786,826,548,480,244,583,400,228,549,947,776,
833,305,116,488,018,295,894,683,471,929,153,169,473,509,292,736,578,215,461,
057,563,676,760,696,715,745,981,544,759,660,252,680,326,597,289,213,550,631,
241,861,865,961,494,232,020,142,670,012,784,553,583,033,908,754,571,562,880,
108,824,260,016,057,318,971,599,635,172,560,028,018,853,293,859,822,472,543,
348,368,682,571,311,209,969,672,940,483,928,766,639,873,151,712,381,359,391,
233,859,733,230,050,670,926,599,702,850,437,801,269,331,087,901,347,249,462,
917,914,373,482,322,599,228,298,138,016,679,298,815,824,417,425,101,661,567,
766,106,831,308,275,887,206,241,131,447,405,107,881,428,482,795,104,239,214,
005,645,344,889,574,212,338,310,834,496,741,986,869,116,468,919,085,275,553,
569,633,225,370,767,424,519,065,578,536,194,985,861,191,772,220,962,464,523,
571,792,148,906,408,128,341,934,800,560,679,455,552,616,373,437,005,535,773,
441,038,381,670,900,200,452,035,373,974,106,831,500,529,831,280,073,912,912,
458,101,959,147,181,469,342,151,210,495,421,674,738,306,030,907,639,809,590,
949,474,213,991,964,439,007,491,876,639,417,494,807,381,360,714,999,715,789,
495,688,941,563,782,883,342,792,060,688,235,869,483,598,156,465,828,589,050,
733,959,392,842,815,172,054,744,071,068,760,083,274,629,441,645,597,164,157,
594,840,099,053,831,808,171,897,261,086,542,663,462,850,965,931,027,686,584,
924,269,200,132,860,831,013,502,860,598,006,012,725,518,769,028,462,620,194,
450,998,140,023,065,826,185,406,449,322,501,808,322,797,680,143,068,862,771,
373,828,658,995,349,584,002,015,682,156,404,745,240,359,488,094,234,900,262,
722,895,162,621,847,680,438,562,314,702,007,961,712,949,410,033,466,707,863,
085,284,975,000,695,705,728,905,503,881,676,760,360,163,896,636,533,693,330,
195,200,617,324,506,528,107,665,650,948,036,791,466,266,580,156,160,651,286,
606,116,953,605,102,579,939,886,661,870,286,314,508,033,784,830,048,185,536,
598,109,927,450,511,024,695,900,170,868,489,764,490,379,531,668,188,318,431,
962,872,572,289,767,622,718,143,619,529,846,992,872,188,561,134,214,124,497,
233,475,503,481,166,039,406,823,688,341,807,647,863,099,718,258,387,100,503,
175,228,131,241,216,738,173,443,194,204,652,371,554,244,254,511,389,619,385,
537,158,064,546,883,444,799,436,902,670,592,287,291,221,515,328,040,901,585,
685,969,286,357,518,154,092,288,934,498,887,449,241,707,810,968,539,344,074,
758,205,956,380,786,866,426,502,928,287,512,515,096,671,670,523,796,076,297,
671,582,924,020,357,363,768,222,996,352,629,790,709,669,203,971,506,545,501,
571,220,972,408,340,256,888,718,671,594,272,317,814,101,219,377,777,153,395,
395,125,925,267,788,456,395,347,713,663,602,941,185,846,814,203,967,103,933,
575,747,584,137,297,332,919,443,227,465,261,303,749,234,542,067,248,095,419,
898,111,507,715,196,085,274,390,757,923,080,861,571,236,730,590,333,926,003,
908,844,979,120,138,152,154,018,867,711,791,571,126,152,400,474,778,623,474,
252,518,079,610,668,845,489,903,282,442,440,065,552,558,253,568,494,756,070,
295,101,721,966,564,397,658,442,153,782,497,100,025,791,885,039,777,114,599,
215,391,779,353,777,784,881,222,299,828,065,057,889,803,504,527,571,183,012,
627,883,413,597,471,799,980,538,071,066,458,624,003,895,166,997,131,754,134,
896,735,707,241,154,389,203,342,657,199,894,550,906,710,978,219,946,200,093,
694,882,886,227,356,574,796,356,438,351,035,803,502,464,090,290,427,021,695,
151,204,569,012,304,825,018,447,043,078,710,715,546,828,138,308,345,516,258,
763,399,962,660,988,034,453,556,936,333,461,825,155,039,420,045,212,931,806,
340,196,290,030,569,014,035,162,734,436,413,479,738,252,051,818,069,633,796,
325,481,137,553,026,644,146,671,831,135,226,067,714,803,861,564,326,329,339,
994,584,761,845,738,636,172,059,845,443,587,624,615,878,114,042,522,558,056,
797,064,980,583,573,353,217,874,717,753,901,661,468,985,575,011,358,268,718,
966,487,671,932,982,815,960,253,334,735,051,386,195,735,707,285,510,292,058,
913,659,641,010,687,449,716,207,553,349,985,514,523,227,234,775,643,938,510,
512,482,885,363,550,090,683,205,652,400,854,859,224,829,850,366,514,940,327,
390,373,616,511,831,265,361,159,618,936,845,426,830,833,733,255,152,060,479,
986,455,760,773,108,421,150,598,250,158,501,415,260,080,370,445,204,000,710,
038,077,331,915,732,868,555,559,293,475,867,364,812,590,565,136,292,192,108,
441,151,585,069,520,217,729,794,075,405,673,592,787,526,905,630,792,539,777,
752,012,252,310,370,374,091,484,347,766,845,197,618,707,923,646,669,733,822,
946,996,365,946,790,595,816,747,359,427,944,995,218,301,456,785,203,783,316,
656,212,415,730,584,159,965,101,364,122,666,583,231,018,526,563,648,903,819,
421,855,084,888,909,218,273,018,026,590,710,668,461,107,744,461,354,107,286,
048,349,119,133,494,165,390,456,018,220,637,822,435,698,789,591,879,121,789,
044,796,716,470,162,869,348,828,729,883,804,366,154,584,456,482,620,704,748,
996,980,558,020,447,983,096,796,208,464,361,192,599,815,575,825,363,017,702,
295,534,145,223,872,069,162,166,100,397,744,377,537,169,000,442,675,684,317,
672,908,065,816,060,040,266,339,438,390,656,201,088,102,548,520,020,039,837,
685,214,272,277,941,086,873,306,282,360,233,125,304,616,922,250,564,923,656,
021,299,159,348,219,577,201,285,019,968,958,276,501,616,429,228,008,362,789,
066,469,433,240,273,342,879,021,793,426,542,704,172,182,265,969,371,677,146,
819,284,189,292,009,803,838,465,276,281,605,381,263,377,551,450,850,376,743,
509,389,066,688,656,184,062,988,049,577,987,495,576,393,967,301,489,448,826,
516,846,821,998,605,810,078,053,514,046,860,427,267,788,697,472,542,032,114,
184,535,986,766,128,142,445,854,296,584,544,647,553,150,778,921,445,603,862,
956,640,722,967,508,897,085,744,206,921,060,423,946,003,913,783,956,676,126,
378,831,164,935,275,428,468,376,041,332,788,181,425,983,552,967,461,876,594,
871,100,966,827,165,227,371,748,211,640,837,179,800,563,079,606,791,242,157,
533,236,819,327,537,267,419,237,211,972,105,159,414,401,154,828,570,114,098,
717,470,290,470,088,255,378,709,812,973,193,678,039,778,171,062,929,682,046,
469,733,641,310,717,527,834,750,014,013,688,908,655,665,958,159,309,655,140,
741,659,064,648,875,901,869,395,220,777,509,010,496,696,078,483,751,722,863,
143,075,268,636,712,816,868,908,844,953,803,845,701,978,921,339,435,213,842,
558,727,924,035,527,360,295,957,336,679,226,348,739,029,012,104,067,760,706,
721,189,101,662,818,330,564,418,391,348,898,188,798,026,154,633,858,451,772,
930,138,187,451,694,171,840,147,378,972,972,977,040,687,715,327,356,529,166,
205,093,814,634,322,396,574,984,129,504,239,501,058,272,864,064,119,251,290,
540,523,692,944,740,243,891,986,692,433,760,804,990,555,673,009,151,292,925,
709,569,181,763,802,451,955,787,688,823,960,757,954,249,370,104,236,878,454,
108,911,962,108,090,295,467,398,767,113,989,746,169,568,263,607,449,543,645,
085,804,071,435,225,217,463,917,271,198,340,738,792,359,208,705,187,860,316,
937,564,138,465,262,741,921,055,744,412,848,456,213,373,471,430,912,586,906,
905,869,195,542,014,842,107,482,486,733,155,922,518,840,912,023,805,061,216,
547,115,689,466,088,374,879,306,387,943,470,011,390,285,222,471,236,814,537,
301,712,106,692,404,306,267,408,212,584,067,938,793,769,806,706,755,027,818,
702,894,385,857,833,817,359,818,217,061,899,411,146,407,217,288,672,156,360,
663,921,266,758,134,298,427,002,407,487,437,614,266,906,891,366,237,057,797,
482,261,159,541,786,181,250,777,778,644,328,005,289,030,377,559,622,220,871,
071,573,562,745,550,542,176,713,235,371,977,728,337,563,516,601,742,969,447,
162,138,764,854,620,132,660,582,773,237,710,172,254,043,230,542,026,548,781,
770,964,322,286,108,617,125,292,476,361,814,573,124,465,927,005,181,398,478,
075,193,937,612,283,927,932,338,146,220,629,054,743,125,387,116,927,148,767,
657,724,545,476,183,964,587,802,969,612,869,488,321,516,389,685,281,540,329,
962,590,324,221,646,507,885,274,764,852,130,111,142,115,730,722,711,538,390,
023,524,072,158,320,123,636,386,832,152,574,022,351,572,412,741,955,839,725,
021,706,979,350,961,258,088,093,018,485,087,406,531,698,998,445,067,205,341,
925,946,194,744,803,296,927,761,420,722,556,742,314,776,763,586,096,886,334,
866,647,227,304,609,133,584,755,716,626,102,213,670,574,185,887,417,514,501,
675,664,188,398,272,895,826,891,878,055,202,217,794,278,385,971,959,136,601,
636,696,316,415,508,682,634,520,205,679,805,197,734,509,184,763,502,951,221,
319,580,929,789,151,876,700,591,557,428,759,636,474,987,121,047,936,222,591,
135,463,272,914,333,424,724,124,384,622,482,464,445,996,308,780,077,916,122,
786,149,416,536,452,474,576,430,616,075,529,300,067,767,408,094,713,024,598,
389,953,463,942,977,522,850,010,900,028,176,099,785,025,965,047,264,617,939,
185,141,969,961,082,660,037,355,029,635,414,991,393,037,921,402,576,613,025,
215,312,105,416,461,821,852,697,299,516,928,563,767,744,941,603,000,462,785,
396,088,959,212,517,657,926,765,960,805,794,893,877,010,702,669,664,793,718,
959,288,452,466,079,693,488,042,651,786,583,283,719,865,387,257,255,257,261,
384,727,993,366,012,883,038,632,496,904,878,827,928,730,486,725,504,748,176,
431,962,770,706,655,035,453,294,359,407,576,804,773,715,056,892,977,623,845,
850,103,466,402,999,370,265,910,869,857,359,766,794,377,133,459,799,747,630,
528,279,884,580,426,026,912,966,175,876,258,894,034,503,619,742,071,683,668,
631,006,542,890,986,450,425,300,458,442,751,693,796,275,381,649,076,606,059,
470,289,005,232,708,692,281,710,966,843,276,629,186,728,982,214,774,074,807,
815,384,016,202,045,812,761,053,650,495,335,948,802,960,986,319,382,759,214,
607,381,445,976,852,937,857,541,977,841,290,527,859,843,353,666,062,109,803,
374,241,932,652,522,142,666,130,086,669,003,161,301,416,744,284,980,822,054,
025,467,283,780,052,324,029,225,938,570,778,558,513,493,816,843,676,059,652,
898,881,023,487,221,164,660,545,769,367,721,018,265,061,205,517,541,652,679,
914,800,895,560,311,868,180,158,204,404,414,097,774,060,253,508,093,697,698,
397,304,506,505,030,359,586,555,156,099,161,805,849,329,932,741,840,132,850,
898,815,360,206,413,584,892,169,580,405,529,451,638,400,801,595,187,183,144,
587,557,145,220,793,322,197,090,003,472,592,773,773,987,513,749,030,288,508,
851,735,233,348,022,932,351,735,198,914,815,715,635,038,129,303,972,276,491,
791,342,599,658,726,184,634,251,660,934,488,164,663,301,752,951,541,958,718,
445,887,108,397,377,036,787,651,390,909,768,440,147,641,185,392,219,692,566,
368,542,354,667,137,120,534,498,390,265,238,678,997,578,698,412,875,543,333,
709,123,937,480,047,417,089,936,629,612,123,506,333,392,966,479,457,896,621,
649,571,800,162,559,918,433,042,149,987,543,403,282,232,688,548,934,335,703,
316,276,060,479,456,489,689,537,896,479,365,580,970,998,987,506,093,167,758,
743,971,240,638,234,686,721,073,776,976,772,460,060,355,052,352,403,497,547,
682,384,930,837,238,673,520,205,975,351,803,217,608,229,400,196,483,709,957,
666,584,533,096,931,558,688,127,961,761,418,448,997,298,797,441,900,172,034,
842,747,547,172,901,634,063,100,374,160,990,973,305,100,814,340,575,472,163,
387,640,624,425,577,217,133,975,689,353,183,986,739,203,433,758,197,536,686,
899,861,558,938,129,976,919,919,062,414,656,256,809,614,416,308,092,201,093,
059,015,964,468,364,162,702,729,341,914,117,475,564,142,292,834,501,275,328,
538,534,452,368,449,462,218,084,379,082,263,088,406,789,486,395,948,580,363,
261,058,316,964,838,771,181,099,509,143,817,513,331,460,762,314,696,792,737,
353,856,549,373,153,202,534,485,607,664,843,035,399,732,288,109,174,541,444,
882,989,827,709,297,435,977,351,354,803,646,249,823,756,253,170,433,230,857,
029,600,590,736,619,473,280,692,739,694,324,454,377,123,176,863,524,524,047,
647,719,443,595,291,122,035,072,638,405,916,458,654,996,309,656,293,998,435,
379,401,183,152,612,418,598,319,043,183,965,420,030,002,159,497,518,522,577,
964,510,216,857,635,130,544,642,993,324,337,762,311,789,472,687,192,349,972,
987,619,310,778,783,469,090,380,846,076,431,613,963,337,546,352,160,021,339,
475,654,717,529,932,012,870,984,375,644,592,950,529,616,634,734,269,321,776,
409,993,886,833,045,553,899,398,975,408,582,878,205,138,172,117,263,999,388,
101,148,629,773,666,017,031,559,339,825,532,377,003,585,152,370,350,926,465,
812,698,031,090,742,632,787,092,279,600,791,609,060,843,198,939,398,264,901,
721,710,866,383,802,605,826,023,405,035,197,217,630,544,075,754,443,894,067,
115,411,748,025,964,943,190,204,214,770,800,532,734,782,872,624,535,018,007,
856,670,350,373,918,445,446,518,996,220,849,087,112,559,408,387,179,273,455,
037,483,328,202,171,518,521,489,975,019,455,928,709,216,904,689,982,098,419,
413,543,487,567,015,295,838,651,862,673,106,472,266,175,178,874,354,418,806,
292,163,215,725,912,116,219,823,127,554,329,816,280,839,010,601,854,716,985,
458,818,234,357,712,474,028,032,675,013,850,756,572,913,152,948,280,643,163,
404,998,170,644,193,498,722,575,905,868,694,280,986,891,927,816,308,498,701,
005,862,717,802,660,656,088,478,323,520,922,659,412,533,040,778,858,440,951,
968,844,705,553,431,361,974,041,464,478,364,456,899,733,731,651,312,052,531,
352,584,730,784,436,002,337,710,820,895,412,332,956,149,923,570,196,216,580,
691,942,255,940,156,774,051,030,047,028,067,827,120,751,450,136,289,211,208,
284,844,394,423,493,644,444,940,146,915,455,525,529,757,759,117,348,953,656,
742,600,417,515,305,334,179,858,034,098,258,201,373,961,786,831,791,220,168,
277,416,518,305,128,531,089,199,601,385,885,875,286,750,663,597,341,567,921,
771,035,854,390,152,135,896,247,331,507,252,944,309,157,526,640,728,875,935,
464,819,939,495,299,977,835,329,737,516,581,271,374,194,525,922,069,023,821,
029,024,942,632,395,920,363,581,739,404,410,779,942,997,102,505,693,764,406,
769,203,474,347,921,501,632,259,278,760,747,250,225,282,811,310,393,472,642,
569,782,826,152,936,547,225,174,966,295,869,854,564,461,516,336,049,564,188,
168,424,309,148,477,074,225,374,128,728,625,402,224,595,821,457,773,593,464,
667,777,853,514,918,058,529,978,788,613,384,847,722,842,335,184,566,850,431,
244,930,007,601,782,424,852,319,322,693,419,774,293,095,892,271,941,953,170,
413,085,064,163,726,359,232,397,514,180,407,381,455,295,308,956,988,906,115,
234,487,734,305,995,808,603,161,923,040,569,612,460,798,016,714,021,995,311,
674,365,835,720,560,936,104,219,140,052,737,736,396,521,483,033,305,754,830,
522,592,153,633,023,633,018,490,334,940,872,769,318,724,945,625,950,632,543,
152,606,720,993,699,168,651,388,991,238,127,397,184,009,143,481,256,028,642,
295,327,848,075,303,467,703,928,134,923,202,668,057,548,305,739,050,247,567,
229,788,789,176,589,335,688,378,948,215,061,154,518,688,900,130,924,960,567,
051,051,237,415,117,456,237,176,303,477,750,285,869,056,883,129,328,714,962,
555,743,170,512,286,485,153,241,483,865,922,506,700,369,165,507,846,550,152,
392,782,812,248,020,610,245,376,760,307,661,586,300,801,077,512,790,215,760,
555,894,162,284,616,575,879,250,026,696,852,325,893,424,007,508,676,130,029,
576,333,946,355,036,871,902,860,247,997,863,176,053,877,213,477,630,386,123,
735,441,309,588,090,548,251,196,624,882,033,164,743,471,845,202,660,525,808,
891,786,230,040,268,617,964,214,457,422,470,680,938,937,105,290,098,576,337,
344,199,396,112,072,840,714,420,779,983,815,943,450,151,025,029,982,878,048,
666,153,862,376,790,463,565,677,333,301,853,275,969,097,702,399,993,407,209,
051,450,091,601,564,069,040,289,878,047,405,845,892,845,560,116,047,386,426,
326,849,824,600,004,521,357,664,775,591,380,844,313,422,076,778,365,408,355,
267,340,119,009,582,435,221,075,496,383,784,414,343,528,834,046,861,890,670,
623,002,279,505,847,675,319,779,986,372,654,020,310,853,447,704,994,903,546,
843,660,423,150,931,853,449,537,881,807,298,968,309,699,806,278,329,671,363,
216,620,148,030,664,821,279,572,262,679,639,705,086,921,476,832,975,320,860,
609,396,314,196,904,889,196,459,657,593,077,236,134,235,403,263,981,948,886,
218,552,624,375,386,099,188,683,503,445,573,641,843,187,567,769,149,814,055,
017,358,562,788,887,197,117,934,024,999,075,588,357,817,995,353,440,619,726,
941,278,450,979,011,366,832,687,852,795,284,070,676,252,160,139,263,359,977,
056,863,755,403,265,505,271,904,824,808,744,165,644,419,347,149,612,630,437,
006,442,284,060,489,649,645,162,016,274,907,215,292,360,097,145,774,441,564,
931,311,425,515,789,749,963,749,849,605,095,489,926,569,484,023,307,858,468,
139,440,613,411,953,149,125,486,781,515,384,184,977,585,640,204,714,411,054,
972,599,615,446,699,133,508,446,269,329,002,011,684,385,752,811,902,766,819,
686,621,188,509,385,672,857,384,315,928,799,806,898,637,462,350,789,612,673,
574,507,560,420,416,512,849,079,860,589,607,997,592,183,313,616,819,970,995,
010,418,939,524,586,002,976,459,737,245,025,067,713,977,354,923,278,233,709,
389,810,825,829,864,413,012,642,738,856,794,814,904,026,483,363,371,647,793,
561,175,115,798,748,709,661,089,772,896,936,947,611,776,399,895,592,767,699,
085,603,098,109,396,969,478,700,996,739,724,476,742,061,545,659,766,704,319,
501,214,524,276,776,780,604,220,867,746,072,719,387,437,580,894,365,043,807,
382,131,640,477,047,972,971,706,826,287,305,156,692,899,779,221,208,265,503,
658,648,592,367,107,046,404,004,216,485,864,563,844,986,171,234,544,700,278,
725,044,110,394,699,069,721,778,394,482,875,363,173,855,493,957,430,303,237,
645,620,175,049,830,882,927,065,663,022,302,484,167,666,298,334,500,477,026,
068,458,363,180,185,496,439,736,497,078,773,430,542,721,796,669,126,486,965,
506,548,178,511,608,177,193,597,133,739,772,468,518,959,044,400,013,456,679,
191,053,897,556,253,000,329,675,122,819,798,156,439,445,335,974,664,130,955,
672,225,959,365,845,266,585,251,208,841,293,142,453,504,266,872,953,558,386,
209,027,881,331,670,837,872,552,251,904,996,628,222,773,423,641,027,068,732,
277,104,972,573,694,651,488,121,233,355,573,870,739,064,578,594,089,431,938,
719,203,387,926,965,261,706,300,686,761,178,727,612,410,184,190,300,326,824,
029,646,737,204,603,060,092,006,770,205,375,940,573,639,408,072,326,004,632,
450,061,699,133,030,897,728,376,541,718,609,787,648,220,261,560,293,790,500,
735,265,743,522,264,586,423,094,407,855,384,237,700,947,151,373,768,037,659,
127,605,706,954,731,238,383,503,310,289,341,733,684,943,110,133,402,028,463,
997,295,339,087,511,524,424,300,466,506,730,896,266,529,415,354,719,404,325,
085,452,810,714,798,992,583,513,755,786,291,782,840,862,641,975,491,171,122,
794,014,238,518,302,645,127,115,646,551,901,710,686,950,992,260,534,877,901,
861,486,204,811,988,663,843,353,941,118,902,849,681,676,568,397,665,374,782,
392,414,633,581,241,210,405,629,392,197,949,811,107,424,405,360,035,437,452,
702,727,757,865,120,641,987,331,536,237,320,422,056,763,800,341,231,408,722,
404,930,378,833,288,214,700,900,844,144,809,619,435,533,520,390,920,341,571,
209,503,610,753,943,306,060,724,119,419,231,591,865,801,747,031,106,912,643,
309,128,775,844,991,108,478,437,750,272,306,002,509,364,865,231,673,213,180,
148,275,941,890,431,369,536,829,236,808,093,922,444,881,035,058,132,073,237,
589,502,671,546,282,858,270,888,614,333,780,534,165,560,029,972,651,839,716,
057,944,283,785,858,145,016,703,359,384,597,921,003,002,215,232,384,621,552,
753,777,316,553,775,830,803,303,901,955,768,449,723,632,335,260,761,633,042,
759,138,693,403,436,564,546,326,742,409,013,048,882,608,158,264,329,402,496,
950,557,160,332,517,884,351,052,868,191,644,130,063,702,275,994,852,240,485,
836,257,681,768,296,248,107,703,356,311,431,104,985,480,830,818,793,861,040,
939,810,025,622,914,725,899,698,675,369,056,655,987,071,305,750,296,516,189,
371,159,669,238,136,694,773,005,447,143,491,450,460,622,275,551,377,764,694,
066,073,158,740,234,725,090,727,450,899,529,978,697,301,229,111,345,053,090,
373,256,744,380,384,896,076,839,059,048,330,838,059,405,595,687,956,230,399,
174,607,152,952,748,005,954,693,710,372,482,350,225,124,952,125,316,394,212,
486,954,301,062,191,574,906,920,388,547,943,391,365,051,275,707,016,150,003,
778,615,370,784,503,134,667,172,331,477,766,822,379,239,742,219,277,580,198,
757,837,038,629,557,072,450,232,578,999,439,658,854,035,391,042,373,420,567,
782,359,773,729,184,245,195,283,802,460,924,702,529,951,213,791,838,049,665,
655,109,430,366,656,061,240,861,546,944,764,924,397,693,001,374,898,101,784,
130,326,241,615,213,636,620,537,499,458,057,934,027,990,589,932,542,416,164,
870,024,642,565,788,152,894,630,757,765,569,200,307,190,511,524,425,822,027,
065,009,274,417,054,816,958,712,176,468,264,366,229,330,460,830,016,864,453,
512,399,843,793,458,677,159,663,713,439,920,406,996,334,711,013,809,444,224,
851,109,876,849,178,834,274,531,662,957,553,563,042,314,689,514,350,477,082,
976,196,026,210,534,065,343,922,299,831,429,338,097,724,802,596,399,605,731,
407,621,285,668,408,727,268,702,682,204,483,515,448,428,606,670,289,722,504,
205,633,985,923,046,526,601,512,199,899,419,221,128,777,791,783,115,627,850,
486,313,132,886,842,353,153,169,478,369,707,260,618,878,717,447,382,677,371,
533,821,176,302,943,875,457,456,364,112,065,900,732,922,287,481,570,448,797,
478,999,067,980,874,394,332,288,359,405,916,506,902,775,216,955,871,230,286,
137,702,755,498,324,180,923,514,195,624,932,079,531,208,142,306,590,930,790,
030,442,302,437,860,758,102,837,497,242,955,293,843,192,210,415,228,890,538,
647,244,114,091,575,322,510,630,307,862,470,486,932,465,567,680,493,973,474,
094,721,766,965,173,252,197,558,993,930,778,148,949,442,399,706,951,776,439,
057,281,623,423,044,015,952,739,965,875,606,016,354,679,366,478,544,602,751,
834,526,202,545,678,702,729,110,405,789,784,523,332,775,859,503,134,896,335,
550,057,676,981,763,500,418,411,042,098,992,978,105,279,322,437,846,951,144,
687,886,668,432,032,033,123,847,747,517,286,322,735,445,811,238,414,015,882,
476,303,129,776,425,008,340,177,146,994,853,275,063,357,834,108,777,076,169,
794,791,281,395,897,797,647,171,155,920,193,086,483,993,385,663,379,681,538,
132,296,783,263,651,130,359,595,195,898,855,522,267,669,812,194,244,462,541,
614,844,182,013,927,373,259,901,246,934,191,650,622,443,492,950,398,366,929,
305,288,741,394,675,794,489,343,654,344,104,471,495,614,385,951,202,494,930,
402,508,172,528,193,698,003,731,196,332,430,046,995,843,173,842,238,617,228,
345,624,201,084,180,264,559,340,523,048,674,464,148,526,032,149,115,370,018,
390,847,030,843,295,680,509,270,230,969,682,084,026,245,609,520,369,173,839,
589,359,133,495,761,196,652,106,811,407,435,904,962,281,495,841,853,983,181,
356,381,664,744,567,154,702,408,136,906,433,754,102,808,666,238,877,866,131,
532,947,119,521,008,861,749,803,975,727,106,724,986,019,480,184,837,094,412,
627,896,589,389,730,554,652,453,756,558,549,499,781,043,663,610,222,938,154,
865,241,568,634,484,228,567,551,697,818,211,877,616,285,464,904,581,010,653,
190,419,583,718,784,202,945,378,586,078,234,014,724,869,779,512,410,446,804,
209,041,089,326,586,794,250,870,566,182,591,798,137,739,854,789,885,345,211,
670,201,454,453,748,883,921,767,143,972,554,571,465,706,573,891,054,128,035,
153,164,293,134,326,063,010,836,501,145,315,140,188,695,849,771,919,122,436,
313,096,057,519,161,507,341,203,302,418,195,950,899,672,053,935,008,288,598,
545,044,253,722,138,085,030,142,010,036,230,752,615,580,394,432,005,854,078,
359,825,223,776,002,855,856,050,264,360,092,756,997,255,935,341,147,817,164,
071,997,378,967,847,904,294,257,100,219,275,440,825,638,225,814,081,942,884,
575,742,660,817,153,263,558,694,533,918,126,252,794,036,882,743,632,101,791,
652,208,107,891,972,380,473,814,900,364,508,195,699,722,372,211,942,499,247,
382,089,988,926,909,788,615,561,693,264,577,727,555,474,831,244,363,499,601,
143,577,195,417,659,479,563,608,540,184,790,511,276,518,721,720,360,355,128,
591,038,021,471,807,675,249,788,965,950,328,178,547,419,904,391,520,969,283,
398,631,641,463,688,690,533,660,329,080,454,072,101,767,022,244,118,939,894,
113,102,807,892,816,665,492,230,644,605,488,963,378,026,638,603,860,542,437,
393,967,868,126,813,436,301,914,768,495,221,946,507,512,429,055,487,972,052,
888,560,126,702,174,758,506,865,769,822,718,615,800,860,745,575,274,920,099,
138,076,504,509,614,161,681,541,966,273,187,438,025,079,120,006,537,133,519,
981,710,311,077,915,213,385,298,033,460,212,888,402,729,391,079,758,075,638,
690,693,536,155,826,893,368,756,267,996,969,166,705,977,779,830,836,456,490,
945,717,641,772,984,761,307,348,324,415,232,770,530,720,104,830,830,075,772,
416,671,003,856,978,226,846,822,633,353,020,456,982,271,700,750,793,946,197,
349,893,597,208,591,478,354,829,827,325,562,089,518,648,806,546,057,162,395,
303,497,105,177,108,767,299,902,322,837,084,265,934,684,338,690,297,574,099,
449,402,306,763,389,957,620,893,257,811,493,871,726,082,607,412,929,836,365,
599,869,733,278,276,720,117,083,761,567,060,348,845,017,279,591,267,863,857,
319,060,491,588,939,301,310,625,977,319,748,763,917,542,071,731,465,916,753,
384,480,494,659,584,631,574,688,326,254,584,136,719,507,844,630,303,672,523,
054,543,989,571,070,575,396,484,672,593,834,275,529,539,528,796,081,451,466,
011,761,861,449,173,102,849,379,227,625,922,986,459,019,373,246,924,024,545,
588,137,475,031,785,687,464,608,155,814,262,695,646,699,171,508,913,801,324,
322,588,906,769,113,692,843,154,632,220,368,872,041,211,469,132,089,947,101,
575,140,148,999,655,528,159,078,515,976,394,464,975,941,994,368,327,659,588,
816,100,381,032,440,252,779,559,788,981,019,982,629,433,572,865,988,481,988,
986,119,595,390,691,086,022,190,345,118,786,938,947,632,445,262,332,228,424,
753,403,219,708,518,695,653,566,407,547,964,128,216,623,198,179,266,452,381,
445,135,583,223,076,490,058,966,282,235,299,273,641,922,420,703,818,157,415,
343,748,798,145,664,476,860,542,322,083,879,539,649,141,174,856,586,929,423,
026,434,069,138,931,936,036,387,262,269,883,379,783,708,507,637,479,924,038,
446,053,394,140,921,798,975,523,002,791,812,576,778,036,083,908,694,107,366,
835,765,837,143,300,733,631,345,219,627,637,559,343,866,117,211,473,605,806,
633,879,565,489,000,129,205,352,067,896,926,531,560,878,243,879,479,102,493,
487,847,359,166,170,297,959,370,999,896,088,927,465,836,669,680,629,000,555,
751,330,352,336,972,077,475,361,181,904,299,898,078,355,939,769,919,467,667,
710,706,911,335,048,575,517,984,947,626,249,640,518,151,647,281,696,165,896,
436,367,195,235,879,517,960,536,869,246,128,609,568,147,655,979,708,294,534,
293,445,665,702,760,125,423,959,802,011,319,269,193,495,236,739,254,522,227,
883,857,824,833,295,769,197,643,999,358,970,941,109,320,086,889,317,978,953,
335,209,008,305,210,261,655,971,364,403,677,599,018,693,005,865,939,027,105,
015,824,227,461,395,918,923,329,657,352,606,702,516,010,535,341,667,375,651,
910,327,312,080,452,733,970,176,837,059,146,569,939,490,308,973,385,466,530,
552,508,360,876,871,935,895,677,238,618,420,443,929,724,284,383,840,460,947,
217,511,060,950,623,991,026,601,247,202,018,652,219,551,499,651,526,697,858,
815,781,192,690,571,989,443,254,869,619,623,226,514,833,873,651,050,560,914,
888,728,107,409,687,072,882,018,466,557,270,223,762,028,404,531,297,189,717,
219,029,955,059,916,135,524,967,064,614,499,881,095,696,824,058,602,008,240,
029,544,397,845,830,717,079,687,509,352,552,680,734,226,761,424,319,345,141,
455,813,959,878,539,340,533,640,300,437,365,643,034,508,721,172,131,237,942,
046,356,546,538,222,439,946,422,599,132,191,747,121,373,513,317,629,163,725,
494,538,907,138,917,230,070,626,727,712,041,569,162,194,424,404,976,577,547,
138,748,803,535,630,838,531,181,321,672,913,714,969,034,997,104,845,939,213,
470,769,604,335,146,253,897,603,216,003,778,204,307,334,488,460,196,903,892,
396,725,027,521,018,441,770,567,450,735,932,521,571,316,846,263,171,654,962,
385,396,570,584,370,419,519,221,434,700,360,771,453,109,391,494,430,725,339,
129,440,898,725,723,150,078,905,494,758,079,467,301,837,382,999,045,930,205,
689,139,561,400,218,012,790,845,073,708,045,561,113,160,525,718,807,383,009,
803,944,056,462,132,504,453,686,497,042,554,969,687,836,057,950,897,255,417,
455,858,539,126,036,828,213,585,194,972,624,184,777,239,496,272,772,366,403,
711,752,684,192,577,966,250,594,070,610,239,584,059,464,971,152,867,886,303,
078,922,801,915,740,077,112,749,104,668,829,459,216,904,404,613,385,173,630,
705,410,474,550,666,376,793,088,018,044,847,564,079,545,653,646,129,643,431,
220,668,953,943,673,595,610,958,874,168,128,397,410,922,119,429,606,521,293,
048,979,207,804,883,958,803,601,955,216,236,527,606,416,223,988,628,194,648,
229,400,610,631,560,999,241,194,614,053,911,139,173,962,083,006,522,027,831,
733,265,274,964,030,869,319,018,385,892,115,180,325,141,967,200,801,700,939,
208,570,452,888,498,123,273,038,627,353,825,846,606,725,653,281,242,425,496,
434,703,648,605,534,990,837,094,456,047,056,501,517,331,586,049,104,740,444,
943,642,906,531,188,437,707,242,456,464,398,642,718,686,882,598,395,065,716,
376,533,286,861,879,718,891,504,257,282,740,481,555,511,511,617,316,748,973,
262,449,379,408,414,495,456,496,515,889,970,229,441,470,345,597,218,051,840,
158,519,340,968,847,808,847,969,635,160,119,981,508,844,442,399,805,603,790,
455,381,219,136,646,894,491,647,109,913,508,400,173,674,595,680,574,736,655,
595,605,069,021,268,943,464,953,796,869,626,936,042,453,684,492,433,973,722,
427,120,403,420,600,235,275,305,358,096,833,485,603,263,341,624,619,669,049,
613,363,201,506,315,003,631,905,324,581,344,375,242,344,488,761,950,396,859,
417,751,107,800,697,013,704,666,762,254,161,785,590,386,163,451,180,334,251,
736,912,306,337,440,251,396,811,836,523,875,737,620,197,186,165,808,810,303,
744,494,533,371,746,596,286,231,187,213,323,222,449,458,233,534,393,712,002,
382,973,876,200,163,922,442,876,443,357,110,814,917,985,648,432,831,296,560,
969,907,049,107,037,888,202,530,275,370,702,063,016,728,872,288,309,081,775,
109,080,845,729,010,087,379,344,471,038,591,649,644,396,099,469,824,364,487,
343,375,476,370,716,608,851,633,077,946,775,729,389,081,257,210,780,630,054,
846,907,202,728,747,069,380,695,540,467,621,321,907,997,377,449,913,958,223,
383,236,480,621,103,877,337,953,346,819,342,844,397,212,883,684,339,098,585,
021,454,689,164,776,344,241,957,226,914,169,319,683,135,285,416,000,365,900,
272,167,487,973,355,584,870,918,382,297,438,241,621,201,457,933,253,468,180,
987,308,611,086,965,473,175,793,282,615,837,895,257,389,214,847,234,776,687,
438,818,987,237,862,009,878,424,881,406,931,970,729,542,036,913,401,718,250,
350,244,712,348,813,934,239,710,638,272,834,156,873,056,112,100,989,157,221,
988,079,607,332,470,087,485,330,033,814,439,929,728,774,293,260,640,919,219,
054,636,408,605,875,942,946,185,615,013,112,818,990,564,610,589,387,017,110,
127,927,911,694,417,229,991,620,160,984,928,447,838,113,314,369,648,437,647,
353,909,080,333,797,893,655,047,596,457,848,141,686,953,914,598,086,787,826,
415,829,083,915,293,868,687,305,498,979,261,758,577,105,715,603,990,835,411,
085,330,159,581,627,384,456,354,495,413,443,352,171,634,779,956,622,510,261,
669,534,690,191,586,943,437,727,746,178,060,698,091,823,999,643,722,335,209,
642,684,195,698,882,289,176,779,674,752,343,366,586,517,898,883,590,163,008,
843,791,878,995,974,913,510,544,968,181,091,729,366,811,845,191,335,397,122,
490,929,352,901,170,170,316,490,301,744,166,190,721,940,522,710,417,413,993,
533,428,593,852,931,664,314,963,137,788,425,741,873,899,323,115,949,385,771,
150,415,432,208,299,252,148,217,454,184,737,005,517,886,954,935,334,862,993,
027,110,224,293,885,069,100,020,646,465,624,879,227,242,603,734,025,327,794,
887,692,633,313,722,294,530,813,130,869,356,411,955,681,263,392,793,583,525,
093,371,794,434,102,569,940,918,584,171,686,565,169,522,422,079,770,373,404,
719,456,150,231,690,314,695,536,161,345,612,254,195,004,198,062,660,925,590,
065,719,342,613,461,342,453,298,703,515,597,730,358,956,007,348,503,817,311,
136,700,286,987,552,821,545,181,317,125,205,673,159,480,099,384,601,729,368,
954,662,892,366,227,723,236,908,394,962,911,959,698,760,569,088,542,125,490,
702,102,318,548,025,202,997,949,981,820,974,329,180,118,204,327,744,974,113,
054,616,079,923,625,758,916,695,920,569,543,121,451,074,073,064,925,212,465,
932,743,951,618,058,431,070,961,231,236,319,959,407,367,997,028,993,864,400,
871,894,054,536,839,707,509,576,402,432,431,466,614,488,568,592,576,616,169,
611,626,540,133,407,588,473,584,689,046,985,990,469,479,227,124,691,419,126,
698,029,687,575,875,005,940,739,946,839,195,944,288,996,139,423,087,934,524,
039,883,816,150,042,746,741,702,037,672,566,633,875,082,975,055,052,447,238,
244,026,853,803,604,174,687,335,820,614,211,847,953,031,629,774,166,241,535,
414,383,556,515,780,557,940,288,272,107,856,632,806,326,768,975,797,708,491,
659,074,997,074,655,217,571,206,637,018,060,437,800,101,932,337,057,494,188,
859,009,157,130,721,524,501,031,910,594,293,492,478,869,655,295,830,781,753,
173,222,298,493,869,082,892,935,966,357,301,358,191,393,096,961,182,514,725,
893,098,001,653,588,645,332,941,002,217,240,905,323,187,667,357,652,186,697,
405,200,680,754,205,829,568,902,285,129,614,492,748,432,711,399,277,465,558,
099,278,605,339,554,130,234,575,959,722,156,279,187,233,933,350,369,495,970,
352,547,493,002,753,413,694,765,472,032,890,393,566,088,123,509,159,699,496,
544,648,280,295,196,521,056,092,796,977,427,887,520,123,882,200,776,351,582,
860,305,249,404,461,113,375,761,499,540,365,323,942,355,612,509,053,625,687,
772,926,534,252,919,393,388,379,960,730,815,191,732,827,368,107,504,872,418,
898,405,782,417,836,747,904,722,192,380,516,738,040,683,779,696,049,470,654,
769,061,558,954,128,468,024,689,599,600,789,645,752,806,887,411,532,450,392,
905,045,351,447,825,142,044,941,612,475,978,896,279,223,326,662,120,472,388,
062,812,553,984,798,603,992,301,878,511,089,136,120,666,215,718,211,163,863,
169,897,812,713,135,414,884,098,642,991,120,804,098,242,038,658,043,654,018,
826,392,486,934,855,490,613,904,622,993,882,010,558,840,433,039,018,602,400,
964,092,386,765,578,336,084,425,325,090,257,504,136,239,890,700,338,500,458,
751,697,345,938,413,206,306,474,818,839,891,959,725,727,598,131,670,889,068,
317,013,171,702,628,858,467,484,712,957,221,527,697,160,857,548,929,653,509,
414,587,387,472,355,195,740,665,828,585,553,948,662,831,272,389,474,975,227,
907,065,363,044,923,290,487,194,919,796,196,424,044,585,606,173,875,649,432,
322,780,662,807,695,310,841,676,096,639,124,571,763,675,267,593,334,322,402,
696,934,502,967,164,281,748,259,318,326,574,928,300,068,335,807,645,607,481,
637,664,370,526,475,241,539,322,978,398,293,507,498,452,700,441,750,013,639,
542,637,542,602,580,660,407,339,244,464,289,449,041,743,432,387,154,200,983,
360,170,471,144,056,715,701,874,916,808,540,376,621,376,198,232,204,234,110,
146,990,694,965,366,724,244,818,868,846,736,249,541,904,921,939,512,317,126,
255,802,801,105,167,981,858,614,989,876,066,480,884,573,887,722,355,514,986,
738,363,833,438,858,697,408,931,518,859,194,913,096,929,483,414,584,014,129,
663,748,193,458,467,715,165,912,101,926,300,941,427,705,856,509,586,429,121,
858,021,238,637,834,761,470,889,887,482,183,982,997,932,602,231,922,746,916,
461,637,438,471,640,067,747,641,704,709,519,410,430,251,236,490,633,992,224,
709,436,776,315,389,645,040,619,932,767,695,231,917,818,321,027,914,777,605,
785,445,056,544,185,469,036,592,160,735,294,909,915,262,787,489,832,790,785,
108,416,034,901,346,173,219,389,108,409,021,075,319,315,646,106,356,542,120,
383,877,169,669,286,309,663,756,117,875,462,716,030,570,154,457,086,631,454,
730,572,144,583,038,943,998,252,329,429,583,489,916,309,417,763,657,289,155,
688,768,894,316,657,220,265,557,468,589,159,943,340,548,938,425,291,518,539,
978,490,305,825,291,328,609,644,848,025,025,066,102,102,789,955,133,613,658,
279,933,129,833,307,194,511,239,917,660,073,839,076,950,033,190,187,741,416,
102,656,275,503,136,405,155,613,532,933,512,635,299,391,270,436,228,021,059,
074,494,902,184,104,417,900,162,629,116,711,768,171,917,998,051,335,069,752,
301,324,269,672,864,667,623,483,745,619,631,226,931,423,433,169,599,655,113,
649,806,024,875,047,316,256,062,124,964,034,170,748,240,769,329,263,997,479,
606,221,009,276,042,484,920,721,680,361,521,873,886,974,065,057,849,579,019,
721,531,940,083,682,908,886,431,346,432,706,281,966,224,353,840,144,945,423,
925,722,273,406,194,999,685,244,280,472,355,878,196,928,877,915,983,043,292,
093,280,512,629,393,262,932,443,788,561,467,199,950,559,884,432,584,426,046,
424,094,950,702,745,280,570,656,437,036,030,929,199,373,854,363,157,075,352,
813,611,843,548,576,708,837,660,364,612,566,906,403,790,782,971,217,436,279,
918,114,218,907,976,569,450,336,188,456,387,543,256,737,407,138,378,264,110,
669,536,113,021,710,294,725,071,658,543,600,227,798,613,005,485,087,684,702,
654,515,107,529,039,696,063,546,384,547,755,219,286,668,986,314,234,106,357,
366,602,823,547,514,160,850,493,756,790,205,897,340,564,930,261,202,436,939,
344,612,480,493,453,355,556,534,517,313,677,530,203,004,497,522,729,737,364,
094,721,371,303,434,631,372,943,765,251,526,844,286,574,250,032,902,588,520,
298,965,410,761,805,334,093,561,046,242,267,187,232,293,019,161,056,721,188,
936,696,641,210,008,401,951,738,953,190,116,071,105,683,678,443,178,781,661,
731,882,435,550,048,101,646,338,805,840,600,872,821,176,651,719,346,021,271,
375,547,668,783,184,002,311,604,932,868,346,674,355,779,626,321,806,759,942,
096,243,262,099,033,648,882,050,308,534,951,215,652,241,327,545,134,839,221,
723,149,530,484,064,615,535,548,498,394,310,745,805,567,124,640,541,850,727,
175,214,617,853,101,741,261,887,094,176,005,609,577,077,777,886,154,019,487,
494,335,080,804,799,443,112,146,031,833,350,103,043,969,194,127,112,022,341,
992,580,170,380,044,117,680,793,111,052,429,543,651,509,821,941,990,655,061,
732,842,687,695,266,695,734,643,485,075,452,668,292,353,281,173,354,510,327,
842,969,352,749,651,922,228,138,116,125,626,234,644,888,991,177,941,944,833,
876,615,057,158,585,604,763,431,228,631,544,877,551,922,561,636,870,182,804,
213,444,846,868,372,456,869,071,634,720,876,759,215,441,091,147,626,103,430,
516,583,569,235,500,172,003,506,109,306,103,359,183,698,803,841,575,696,907,
002,763,337,637,277,333,046,724,698,168,607,545,202,422,365,905,697,529,705,
612,519,042,348,121,440,090,615,353,588,746,967,214,819,509,499,538,771,377,
966,164,347,157,593,751,236,988,696,767,291,594,420,468,548,025,374,516,255,
276,517,246,444,407,540,343,827,632,632,536,320,476,798,245,732,442,652,297,
155,387,571,493,108,770,616,323,839,365,934,380,452,272,830,276,936,830,560,
986,051,802,517,136,368,189,569,852,667,976,317,223,725,680,258,733,358,014,
904,637,884,347,226,424,014,225,920,615,402,102,821,403,160,231,298,336,826,
202,877,608,272,053,955,735,349,954,439,081,262,168,543,033,608,373,455,288,
938,235,649,091,462,168,794,413,246,440,352,562,415,115,674,519,944,038,462,
393,340,727,434,521,795,631,930,006,225,072,975,033,047,190,619,940,279,621,
748,552,849,727,495,682,104,452,465,950,458,907,417,125,507,910,387,834,948,
172,088,849,401,287,564,745,295,469,024,873,429,216,884,855,214,692,321,574,
789,487,238,712,757,332,432,649,523,194,846,396,064,395,663,324,038,697,040,
010,060,892,896,540,360,317,618,959,704,117,515,896,721,027,586,606,885,692,
340,027,196,926,566,073,610,140,107,398,112,808,411,874,702,954,195,017,001,
650,609,247,645,100,841,908,179,674,493,358,640,353,746,585,217,361,161,293,
984,744,383,657,782,661,879,121,750,868,723,877,481,208,086,620,532,814,508,
609,766,580,952,481,550,798,998,168,546,046,995,044,886,354,534,855,524,314,
695,094,130,651,390,943,354,310,126,041,345,053,170,515,462,091,156,390,469,
046,627,718,840,180,542,873,757,184,879,457,271,860,409,055,395,640,721,962,
343,801,358,011,361,609,940,743,086,636,473,868,859,835,579,295,113,613,080,
293,435,460,554,708,346,107,935,511,513,557,707,300,648,450,969,196,688,420,
457,315,747,015,413,288,198,637,067,004,880,730,353,003,065,773,206,910,874,
815,129,782,556,062,856,445,179,201,668,238,093,677,078,317,834,611,567,825,
796,437,660,271,010,248,417,452,494,708,450,507,819,372,045,330,649,982,638,
589,487,398,961,404,950,920,171,902,455,978,678,989,714,484,185,209,623,945,
741,757,832,403,335,036,209,202,337,437,530,409,983,765,301,992,466,016,453,
030,844,056,650,606,697,877,133,632,126,737,769,823,839,583,969,432,855,621,
916,908,270,493,745,843,215,018,104,396,803,176,538,050,582,645,038,660,516,
040,208,455,490,239,420,421,577,032,490,825,705,231,647,344,649,322,629,496,
105,787,649,824,162,965,694,542,528,206,775,145,461,951,863,634,551,473,196,
739,026,506,442,005,560,793,144,045,862,137,744,067,098,457,641,395,237,918,
608,271,750,561,903,091,707,305,300,117,322,826,453,248,418,916,532,768,923,
982,572,176,613,987,815,155,972,550,265,170,543,078,309,230,662,292,107,092,
271,173,110,116,618,675,316,110,478,627,007,241,507,163,291,121,540,949,654,
958,956,728,561,175,073,440,563,918,217,223,429,911,132,597,013,941,469,257,
617,806,078,306,796,534,521,711,981,305,787,765,778,932,891,847,539,624,212,
831,319,363,936,000,033,217,304,396,012,241,537,872,386,893,687,101,485,378,
104,205,588,773,380,507,213,966,471,938,007,253,333,792,805,716,382,524,215,
340,485,578,061,261,529,529,638,420,880,395,965,119,108,056,954,005,447,289,
197,200,156,621,247,802,707,527,485,647,947,521,250,506,493,759,619,330,481,
973,546,509,318,195,938,877,283,116,533,302,599,856,417,669,497,485,192,961,
755,824,393,977,038,726,173,115,652,629,936,423,781,926,500,930,972,543,003,
362,660,195,915,130,971,005,049,013,886,308,536,638,802,103,701,797,471,224,
163,050,218,031,292,535,903,579,045,339,353,105,943,720,575,745,985,836,929,
897,830,534,200,020,159,344,120,220,562,808,445,162,753,150,655,553,604,175,
301,628,127,797,125,689,875,967,868,668,184,775,041,852,048,693,385,990,377,
876,811,968,660,696,522,742,254,840,454,374,303,817,397,088,349,895,556,835,
662,900,483,842,181,354,668,834,362,540,158,887,269,658,138,334,472,890,168,
349,437,377,460,872,893,850,768,740,339,686,705,117,926,476,890,465,331,736,
130,230,810,467,424,648,420,966,692,676,828,017,447,213,916,816,384,078,453,
477,007,070,951,012,605,991,123,364,268,673,758,413,994,146,060,124,015,288,
742,265,866,215,892,795,042,629,547,137,084,060,096,779,000,922,675,775,990,
622,130,245,003,867,516,411,872,082,073,045,991,816,179,390,028,109,347,115,
523,381,057,960,494,319,999,492,878,273,946,471,027,282,079,049,963,951,468,
520,414,903,544,976,888,137,282,255,353,566,537,670,083,697,020,748,550,084,
964,668,634,319,090,862,664,410,107,612,061,827,911,193,554,719,236,951,195,
462,087,621,267,825,627,266,915,345,937,756,681,589,047,594,712,534,738,448,
575,490,627,147,240,581,783,304,908,082,449,047,842,305,933,739,009,163,063,
358,208,695,248,737,460,192,422,133,980,881,914,966,310,335,849,781,741,713,
154,335,205,821,163,436,176,770,958,075,117,090,200,953,046,498,925,806,005,
773,020,110,605,970,985,394,532,633,174,569,616,773,790,645,089,544,534,696,
130,562,273,830,222,228,475,837,366,440,129,851,727,177,087,599,134,517,630,
600,836,308,556,837,859,092,595,528,997,830,264,879,014,821,881,313,500,038,
847,234,868,334,837,641,179,491,326,029,388,474,523,313,114,082,629,069,739,
005,831,943,091,293,121,146,942,515,914,830,666,704,464,267,288,322,083,480,
047,065,646,851,122,078,235,043,112,258,286,747,893,269,579,715,852,964,185,
827,580,573,644,685,060,721,924,754,093,258,561,518,424,170,148,505,472,239,
544,789,302,445,163,913,958,350,426,897,653,976,525,714,176,037,235,282,455,
740,269,051,771,952,827,471,436,905,849,926,869,604,253,040,549,022,399,717,
683,510,592,744,405,048,609,791,375,712,217,587,224,578,059,244,004,514,608,
166,921,229,789,222,169,776,276,276,310,935,270,095,765,698,195,265,103,918,
593,127,668,972,588,583,709,114,175,858,728,332,736,052,566,703,879,970,448,
592,846,608,959,984,949,844,682,901,032,281,057,461,044,350,456,150,077,113,
812,320,322,752,876,736,155,809,321,428,137,155,832,081,679,108,852,457,726,
195,308,219,766,374,269,996,467,318,898,881,418,020,477,157,344,374,801,122,
286,679,622,998,671,374,158,689,493,475,778,107,998,137,368,125,754,071,198,
105,057,834,917,232,319,791,196,798,818,967,360,273,945,715,450,609,705,982,
076,397,158,333,715,109,038,392,741,443,581,259,016,680,495,932,292,631,228,
417,561,538,139,319,727,986,377,148,136,154,086,908,001,028,119,023,051,973,
570,266,664,682,785,395,427,092,246,738,062,092,428,217,539,566,295,534,999,
335,734,645,947,837,730,817,563,662,929,899,181,881,426,931,316,449,250,556,
194,315,096,067,256,563,488,420,398,692,959,994,806,909,307,109,357,860,322,
919,333,895,023,208,188,289,810,068,006,052,608,286,411,951,272,884,463,258,
037,878,297,614,772,412,317,040,750,798,139,776,758,702,958,196,764,735,756,
343,536,939,467,577,914,771,304,831,409,776,080,092,154,695,490,179,162,093,
091,578,076,003,830,936,756,807,990,651,872,824,598,346,213,286,658,260,033,
373,030,314,052,258,527,079,093,943,002,224,706,655,394,522,738,289,704,740,
641,495,848,491,972,662,158,972,766,612,264,614,507,859,314,014,405,845,747,
030,389,677,329,911,609,971,027,706,960,702,161,886,455,663,853,919,876,785,
432,242,404,244,091,105,684,339,078,858,729,413,707,004,542,530,728,007,957,
137,644,564,577,479,006,136,350,765,531,903,698,141,174,867,845,372,646,226,
755,480,334,922,092,810,385,450,090,582,061,200,491,960,951,159,968,547,904,
369,397,718,461,480,970,374,441,812,022,205,471,360,395,677,035,346,371,508,
057,981,223,946,102,749,773,841,111,765,677,883,827,988,939,821,924,981,847,
165,205,373,509,832,745,575,105,524,700,444,222,630,139,966,623,479,886,605,
853,533,066,187,509,697,670,112,717,025,068,205,728,974,426,659,706,948,034,
946,002,418,180,415,533,667,515,609,130,989,941,078,601,548,342,754,315,383,
277,412,206,795,441,300,316,427,094,484,168,840,468,645,218,476,453,201,360,
113,030,899,441,311,540,816,340,168,368,122,233,092,973,542,779,246,086,216,
212,490,430,091,106,318,643,079,504,977,003,943,277,015,581,282,710,034,449,
465,842,248,735,712,504,505,547,776,090,241,540,769,230,042,923,788,314,578,
550,325,027,326,641,252,480,627,130,686,719,982,418,295,591,346,555,070,505,
612,194,167,881,302,708,495,850,315,305,405,124,499,761,750,664,932,949,458,
205,812,297,163,880,060,500,662,682,369,313,542,062,560,841,428,612,419,884,
360,057,542,464,513,141,642,453,579,084,182,336,645,286,250,145,192,715,491,
660,647,019,192,422,310,706,081,023,336,295,196,671,587,738,214,299,794,926,
331,172,492,493,087,595,116,428,177,844,330,406,091,390,704,766,499,127,492,
792,134,593,910,424,319,460,166,920,138,701,026,111,594,642,494,144,739,550,
998,037,944,813,206,930,478,491,735,961,490,436,747,443,044,565,969,453,439,
538,583,176,469,480,580,205,007,337,775,026,589,756,567,949,420,847,413,951,
215,841,601,628,467,399,177,385,328,912,592,983,773,490,545,744,796,510,991,
195,310,977,848,063,467,602,767,584,484,664,508,467,109,844,586,620,682,838,
091,648,801,735,765,580,682,996,275,533,257,873,682,851,866,593,749,759,933,
706,076,464,334,546,554,157,399,961,796,568,570,017,170,632,533,245,408,032,
845,106,361,116,387,651,642,918,223,122,823,272,180,665,623,757,262,981,770,
816,939,836,523,796,611,723,326,646,546,906,251,190,746,654,529,122,561,057,
650,014,571,050,622,399,780,386,408,360,244,139,375,748,777,613,613,181,594,
994,508,060,594,859,794,730,684,476,150,019,590,141,104,849,936,941,483,654,
247,023,882,341,548,634,664,666,585,730,711,884,205,823,708,555,799,679,580,
606,575,034,350,569,347,049,403,346,522,575,286,763,950,945,548,529,023,978,
193,099,493,231,876,063,399,931,106,583,324,828,101,915,469,226,071,879,173,
087,131,154,438,400,735,751,412,206,415,362,001,775,991,785,203,452,871,399,
091,890,103,977,654,724,254,796,806,962,248,271,389,190,316,012,202,003,638,
429,711,102,067,714,224,344,384,562,990,869,417,444,793,065,773,942,087,033,
638,150,175,833,215,242,082,126,483,005,826,634,699,095,137,203,419,613,689,
655,495,696,134,154,281,329,329,569,462,052,356,506,682,591,982,823,275,188,
310,040,167,979,762,513,127,097,605,328,536,270,589,686,327,913,997,504,056,
453,801,647,014,069,075,723,173,607,737,591,935,060,552,410,161,532,783,917,
464,858,176,599,474,153,231,416,314,461,258,566,147,452,593,292,373,324,308,
583,054,023,049,817,559,309,020,124,751,371,683,512,800,422,479,263,174,764,
067,983,838,849,344,234,864,104,456,107,316,142,881,670,516,002,672,293,128,
398,608,627,283,429,985,730,142,432,211,322,006,149,406,641,824,783,687,151,
005,095,133,118,725,797,288,472,802,979,044,526,938,263,110,493,375,417,629,
681,744,116,259,957,400,891,576,934,483,834,759,233,096,543,296,493,210,006,
698,277,716,778,513,987,946,415,515,325,046,362,326,545,060,286,449,223,383,
637,145,238,020,730,816,486,078,798,165,524,969,607,989,882,208,062,823,406,
775,232,629,625,847,770,338,891,362,258,292,855,531,937,829,569,999,827,205,
789,295,468,889,694,125,066,900,673,551,922,028,249,606,096,492,975,534,242,
495,391,085,233,162,564,927,257,273,510,026,682,130,964,818,707,058,678,593,
384,982,572,461,858,333,772,060,056,429,892,749,854,481,422,309,523,889,042,
846,327,239,159,521,585,738,342,598,137,925,023,189,984,590,423,403,302,949,
524,437,769,972,610,187,176,625,160,469,248,872,892,679,021,142,723,989,149,
384,121,537,202,767,227,121,699,484,100,911,186,019,465,809,794,004,061,513,
031,269,720,039,121,549,378,546,832,800,335,830,260,861,768,635,906,545,782,
576,926,938,360,847,943,601,710,423,694,432,530,479,699,004,479,432,156,253,
525,549,595,988,258,792,553,842,078,522,865,750,537,189,866,077,048,582,235,
981,548,613,504,619,807,908,296,968,066,872,342,199,642,741,108,072,836,584,
370,962,427,972,883,733,079,211,080,524,850,662,424,959,375,699,716,817,646,
880,401,378,213,615,027,340,991,161,699,759,677,427,292,508,180,003,398,614,
054,462,258,665,691,473,027,141,092,902,746,730,506,000,348,362,454,449,311,
637,042,911,553,207,183,030,886,741,350,469,872,534,618,333,675,283,034,501,
289,074,724,187,111,312,049,842,518,366,651,333,683,664,912,218,044,012,266,
900,980,527,838,969,396,576,433,649,164,199,815,796,574,907,187,235,706,988,
774,663,253,973,909,638,121,475,947,000,578,444,470,335,094,514,810,995,396,
783,926,591,833,663,022,530,583,108,479,118,237,141,212,442,490,531,886,714,
620,433,694,785,230,322,259,336,460,077,715,673,898,996,751,931,794,779,248,
617,082,004,437,264,951,958,268,240,286,366,710,833,485,912,759,786,432,118,
011,960,364,487,302,381,290,963,651,556,764,885,078,294,928,053,189,106,138,
232,444,592,581,525,951,223,012,709,211,855,946,901,372,913,488,993,562,928,
157,895,914,110,929,619,389,622,022,888,240,523,052,645,882,555,161,390,022,
072,965,320,480,944,991,444,346,589,000,978,454,749,307,600,566,140,731,464,
271,633,983,817,600,499,818,036,244,306,072,433,614,532,884,082,088,900,286,
178,703,035,547,835,739,195,250,719,126,719,388,258,400,445,448,736,890,234,
618,865,350,538,823,760,643,711,195,063,322,540,745,183,404,296,320,223,333,
640,110,580,602,635,811,032,596,270,493,460,941,593,549,279,867,169,741,839,
058,921,036,969,673,505,230,811,021,102,284,257,408,144,600,112,166,408,102,
711,861,607,052,705,172,512,766,063,509,343,337,517,680,769,974,208,768,468,
076,354,636,418,228,741,192,378,647,940,017,876,832,330,325,519,307,485,740,
896,011,586,449,851,652,917,739,398,179,764,557,110,426,039,280,588,929,555,
930,907,900,572,540,472,661,032,667,947,406,590,021,067,855,596,693,883,948,
602,394,513,892,781,353,138,461,402,277,261,904,652,481,931,718,890,927,026,
426,023,601,476,498,680,459,746,285,148,707,391,480,031,234,495,744,893,294,
398,185,355,768,437,904,288,275,972,033,541,288,699,572,020,978,010,730,181,
570,056,849,004,617,725,441,548,076,167,238,973,238,234,390,485,152,125,207,
110,909,000,023,561,114,853,723,234,673,938,308,561,918,323,397,236,302,112,
333,650,280,355,472,077,273,987,642,977,999,532,491,269,721,103,820,605,466,
765,709,719,850,841,969,237,156,644,173,452,478,820,144,512,628,975,872,459,
659,779,989,608,642,470,023,605,777,633,067,747,665,516,116,512,243,525,954,
033,544,865,562,620,073,475,278,143,357,721,928,489,283,209,733,635,622,580,
617,484,466,704,430,565,948,375,582,957,912,769,022,501,825,160,631,293,578,
300,827,663,997,572,897,313,407,720,099,370,557,687,515,237,912,722,667,680,
611,376,221,938,360,826,276,038,978,686,818,924,476,091,091,246,411,870,210,
539,563,233,059,746,078,041,517,693,476,557,862,129,231,985,024,620,405,857,
438,476,142,203,591,484,201,660,563,390,118,207,193,142,203,144,186,506,920,
922,842,314,447,165,376,445,810,091,104,092,977,714,342,372,833,078,194,365,
631,840,494,203,441,732,509,191,034,820,367,569,363,194,164,356,991,744,957,
783,640,647,960,505,695,548,858,929,530,532,433,359,255,323,614,026,424,090,
502,565,919,060,098,998,987,094,841,398,845,970,641,087,178,506,508,971,456,
906,536,151,339,741,125,448,709,903,283,782,884,169,513,740,881,069,901,531,
850,538,102,704,295,811,009,986,466,175,272,743,011,865,339,622,804,898,714,
824,775,268,056,478,561,308,138,904,830,169,998,783,456,748,430,450,957,273,
180,215,732,407,628,720,444,267,498,815,172,595,391,954,726,506,787,367,425,
963,536,307,246,544,759,519,059,977,969,437,512,867,663,468,983,503,477,685,
046,783,409,478,053,991,112,045,652,097,717,816,619,600,179,752,050,626,828,
234,326,872,023,641,814,186,013,659,400,163,372,853,124,423,842,912,957,859,
230,519,435,667,760,954,002,411,153,112,475,487,429,571,562,141,659,513,909,
826,467,248,294,529,777,329,235,955,746,706,982,945,624,965,344,856,455,383,
126,740,559,550,817,575,280,724,521,209,019,342,855,583,433,049,931,139,155,
455,596,045,198,533,196,852,010,724,458,270,864,035,114,071,664,833,144,216,
672,002,193,634,716,698,684,169,120,407,980,488,691,527,081,680,161,883,813,
597,909,045,881,484,757,548,208,609,827,681,008,372,297,795,700,742,461,839,
874,665,420,179,756,806,993,395,647,805,295,233,197,903,700,651,865,575,668,
202,239,542,405,032,232,096,076,958,083,766,244,120,472,107,311,979,578,550,
923,087,808,485,229,461,241,423,558,226,743,903,706,938,718,484,051,402,388,
459,688,283,715,721,065,415,886,053,661,921,097,849,192,356,510,411,725,520,
072,696,372,801,673,307,842,269,895,307,720,334,727,742,661,832,526,871,793,
988,369,237,371,773,106,552,451,042,082,123,480,614,450,813,821,277,890,174,
349,742,550,416,023,027,434,027,873,491,346,679,518,242,285,217,411,910,010,
063,588,028,545,685,293,309,057,320,742,330,427,081,687,972,242,557,388,069,
416,053,374,361,924,950,524,549,474,330,295,326,584,394,397,301,844,526,244,
036,042,073,761,006,716,268,479,511,031,976,813,288,538,283,571,796,150,755,
951,512,350,845,313,534,144,257,223,310,321,698,823,568,364,682,809,883,617,
451,690,877,001,431,653,065,741,284,592,237,505,636,475,589,082,681,826,570,
253,692,057,581,250,604,739,819,385,261,491,989,543,252,265,502,331,690,942,
751,587,022,476,877,142,438,246,838,668,903,771,566,862,360,098,170,205,238,
739,504,310,749,845,364,159,753,102,471,191,762,473,515,436,089,626,812,371,
495,965,821,744,168,722,666,721,606,314,876,132,142,266,317,566,250,730,785,
825,188,480,693,459,016,096,481,500,483,402,841,387,308,844,600,469,552,610,
994,143,649,073,533,408,994,522,370,736,066,366,153,377,857,435,382,700,705,
350,837,906,485,505,322,742,102,838,974,471,452,616,943,617,857,406,502,816,
619,789,712,365,939,134,405,514,328,135,862,948,944,087,337,785,138,916,647,
813,175,829,839,475,932,849,010,441,393,918,157,526,132,290,867,555,233,054,
159,513,984,731,366,088,312,537,025,320,964,983,139,392,705,312,404,415,655,
984,772,215,398,929,336,759,373,662,956,678,707,618,854,976,456,327,296,845,
273,903,554,612,512,020,598,537,722,954,548,357,386,204,367,279,680,232,838,
607,904,585,562,993,173,979,400,695,007,078,462,415,208,811,980,840,806,402,
240,176,697,768,280,370,931,224,343,712,352,353,411,748,355,525,012,327,415,
706,734,630,248,053,133,125,201,220,466,532,738,645,960,030,792,039,122,631,
858,908,708,104,777,108,207,679,933,036,116,230,039,818,354,973,205,664,137,
113,221,153,531,905,224,353,407,391,548,577,557,506,119,851,465,262,686,924,
861,685,713,153,205,371,106,053,954,638,754,325,878,736,374,030,314,657,381,
738,666,318,727,459,243,853,346,717,189,829,755,465,284,596,343,883,074,494,
828,622,728,155,442,300,000,573,681,970,275,546,805,586,010,931,903,038,819,
948,853,490,626,704,356,913,429,829,733,986,018,837,085,686,253,758,486,461,
048,905,199,717,896,808,464,785,937,032,993,064,099,085,328,508,660,204,000,
466,410,062,786,935,305,998,896,645,620,883,736,337,437,862,819,545,631,310,
849,694,304,648,369,276,654,089,030,675,418,575,345,883,214,683,705,237,451,
874,014,279,283,233,062,586,760,225,354,925,958,582,040,519,130,150,051,585,
313,616,965,857,479,687,380,653,670,838,124,870,483,576,271,406,969,727,139,
533,087,555,168,827,199,759,180,812,823,251,518,337,197,298,746,928,028,606,
403,372,929,473,222,921,537,540,714,189,683,430,636,905,960,010,660,739,199,
424,603,359,077,401,145,002,754,982,539,056,426,597,938,174,149,173,283,873,
176,629,028,785,022,127,789,635,317,652,082,463,961,520,212,355,090,837,130,
640,160,524,805,727,731,024,966,361,370,090,128,189,302,491,061,961,106,093,
529,376,686,051,772,248,966,556,438,084,858,401,487,682,764,225,069,285,129,
615,751,106,571,509,218,024,592,141,454,056,660,390,958,947,827,214,051,441,
649,121,954,991,556,706,867,912,986,702,226,677,962,545,330,088,788,000,281,
724,893,534,819,304,862,055,784,644,345,462,953,640,110,118,721,450,447,089,
402,851,868,599,472,331,908,953,981,369,367,654,133,675,163,180,695,393,055,
627,885,149,832,409,001,722,407,587,664,285,982,121,160,293,171,177,931,028,
974,623,193,979,974,088,988,118,172,908,550,190,384,267,292,755,329,815,804,
445,665,188,710,353,503,099,522,560,463,369,615,717,140,370,003,379,196,926,
932,014,949,335,454,141,813,169,867,885,491,082,313,956,908,107,998,920,610,
027,143,770,568,155,272,799,491,378,366,480,446,982,663,131,770,056,289,059,
784,792,685,893,920,624,842,793,921,432,237,277,512,446,940,175,790,609,947,
005,977,995,802,184,598,695,322,835,483,260,432,507,712,867,593,296,158,791,
664,521,517,950,735,752,362,256,432,558,671,059,495,560,172,054,550,587,213,
357,188,406,224,016,814,259,462,459,620,634,221,010,279,590,663,939,216,208,
513,136,195,717,993,633,602,010,092,171,628,990,604,192,119,374,856,445,485,
978,918,493,993,870,792,369,133,941,429,505,669,481,770,916,287,768,166,892,
963,683,915,211,709,022,539,779,972,325,215,549,157,252,177,299,344,171,969,
184,375,457,724,062,306,497,050,980,789,528,398,702,786,112,345,572,575,296,
831,000,586,571,312,601,765,312,531,634,077,980,421,098,384,973,809,473,456,
666,025,876,095,966,357,443,393,626,112,653,262,215,706,323,519,342,013,301,
371,779,093,315,086,565,916,157,721,977,525,418,476,060,783,286,907,037,976,
783,346,948,783,336,548,870,208,792,941,529,032,078,586,231,546,347,026,994,
184,048,268,342,603,609,783,088,464,466,371,246,197,464,351,130,307,438,972,
428,263,440,268,276,043,218,562,059,550,510,085,874,298,711,570,487,404,826,
710,114,795,115,029,175,065,816,612,143,109,896,528,319,660,182,089,040,307,
215,929,575,415,869,024,756,854,326,853,186,432,788,065,801,175,647,257,230,
536,707,152,963,442,867,011,110,869,261,894,336,504,292,434,407,169,379,885,
512,135,399,196,914,563,728,781,690,924,725,920,204,233,341,200,057,093,341,
008,212,666,304,303,324,979,476,294,437,447,235,257,268,961,639,225,262,083,
343,396,168,725,915,433,349,182,111,227,745,604,569,910,216,135,348,387,249,
471,693,154,087,129,951,142,101,794,658,435,239,900,471,792,441,105,785,874,
133,982,271,106,244,668,854,159,834,794,196,312,369,593,945,496,298,333,629,
690,632,096,089,169,586,728,311,562,064,310,485,647,586,178,644,580,950,189,
509,147,847,200,770,852,491,563,283,748,840,177,759,495,758,181,812,664,264,
271,467,069,507,673,286,297,298,666,834,986,282,128,941,699,505,633,970,860,
600,137,789,635,550,488,157,592,631,708,652,824,062,609,382,222,760,784,334,
364,914,970,441,701,501,284,910,322,150,084,010,315,387,679,138,273,307,357,
666,849,228,440,999,610,968,228,658,595,947,134,126,929,197,755,596,975,961,
617,274,404,933,325,838,104,126,954,878,282,438,864,191,669,780,515,645,296,
625,501,848,121,023,705,240,494,322,571,865,585,081,231,597,709,725,513,736,
875,782,374,803,618,897,947,779,202,859,390,374,991,586,745,624,918,647,780,
765,564,737,237,906,069,402,756,650,881,466,268,324,167,396,573,082,333,527,
666,803,245,439,904,480,932,874,977,848,960,005,004,645,616,189,406,183,293,
622,949,829,836,142,106,304,595,829,964,035,699,423,001,387,425,546,768,815,
147,503,073,870,833,544,871,263,195,863,408,584,923,882,931,505,481,445,258,
924,140,063,841,394,034,982,596,208,780,580,421,199,699,192,269,000,431,071,
105,030,620,334,719,561,244,932,368,868,536,870,295,858,827,493,374,412,459,
208,278,293,580,843,950,340,595,488,514,543,924,849,259,898,833,708,353,135,
144,566,381,460,471,611,672,796,585,876,300,240,954,214,964,016,889,914,172,
240,639,107,023,152,631,771,534,862,640,400,448,796,907,012,111,277,757,482,
911,868,651,443,131,774,883,806,232,261,182,480,447,541,599,767,201,473,626,
371,275,980,918,922,309,056,880,451,046,978,261,274,464,853,750,109,465,388,
921,548,613,387,349,098,971,717,377,951,667,498,350,254,055,722,541,329,282,
713,816,496,848,119,391,939,229,156,952,085,323,903,011,879,273,474,785,173,
777,390,678,587,096,458,636,844,648,892,409,093,806,423,864,593,256,937,320,
039,616,091,277,178,798,199,866,050,389,744,503,466,569,611,505,269,263,808,
502,249,361,980,060,723,085,585,926,176,426,599,992,790,876,737,529,557,276,
620,270,902,275,720,328,062,383,120,761,939,511,327,766,931,840,496,401,596,
618,604,699,858,856,392,493,961,714,640,755,860,926,454,230,130,818,617,660,
302,511,600,236,598,470,390,413,553,594,349,219,637,522,407,924,880,861,725,
852,885,351,108,062,025,531,414,739,501,629,205,749,681,556,694,463,789,036,
062,876,986,493,512,627,442,352,109,699,185,029,250,573,321,438,498,849,398,
661,277,679,621,392,351,361,955,274,309,802,665,227,600,979,587,946,027,665,
648,845,553,640,947,064,098,366,890,863,307,079,684,064,469,398,775,229,075,
340,750,022,116,332,018,208,551,830,395,079,643,015,531,606,371,183,453,783,
829,128,565,517,313,798,644,531,229,250,295,145,172,987,053,710,046,533,209,
180,236,448,268,086,756,355,544,525,051,348,260,832,817,016,270,314,075,960,
945,222,146,817,866,544,664,524,385,923,503,854,254,404,529,168,114,421,596,
761,255,033,661,530,203,160,426,772,333,577,235,640,408,466,792,117,701,850,
723,293,288,849,127,981,787,435,804,880,236,341,279,318,319,046,584,692,602,
423,348,538,005,608,215,245,254,845,679,373,800,239,638,029,456,235,678,384,
092,790,352,552,730,708,804,496,082,649,767,622,360,281,639,309,411,919,358,
347,184,926,654,996,527,496,894,713,392,937,836,608,550,030,940,919,624,113,
123,014,634,970,143,803,243,682,816,516,189,079,270,667,431,408,866,819,680,
833,688,584,193,987,455,203,221,570,276,300,949,001,328,244,587,019,647,192,
870,181,985,994,801,667,563,545,123,248,494,724,812,918,263,229,350,458,742,
181,368,622,047,368,436,194,259,171,716,545,137,530,683,553,894,217,562,432,
787,022,614,748,101,358,655,013,649,169,934,331,489,318,967,817,425,635,950,
189,477,716,569,048,435,775,235,648,058,520,136,514,284,460,799,285,772,663,
510,108,944,143,669,384,581,821,186,148,831,442,707,618,775,825,058,751,857,
907,602,963,582,580,552,004,877,479,895,819,759,227,455,163,907,543,881,224,
375,692,679,136,272,600,329,503,038,742,490,126,925,743,140,865,030,895,165,
632,875,987,346,742,551,482,952,842,866,173,906,925,371,971,247,858,641,913,
280,480,038,199,943,577,745,196,111,782,429,347,513,955,610,809,079,896,583,
111,140,990,483,187,057,372,602,266,776,052,526,758,545,927,748,724,310,123,
063,927,822,733,753,111,856,129,758,593,259,108,198,688,844,751,394,013,898,
216,225,006,702,436,009,644,272,555,641,402,692,069,940,073,581,139,850,719,
060,544,364,219,867,821,084,100,953,432,086,294,143,313,966,396,906,325,080,
418,823,316,086,402,815,642,667,006,544,606,880,347,589,047,230,631,970,774,
616,033,179,690,444,297,023,541,361,683,831,554,044,519,692,683,643,543,762,
741,613,436,409,888,876,376,452,817,506,273,227,294,623,126,767,590,830,596,
322,058,062,218,447,580,114,277,198,526,756,974,179,588,031,345,564,172,300,
869,306,305,162,907,899,445,057,896,470,306,744,806,355,386,054,781,157,996,
555,350,755,979,180,822,985,717,234,253,361,160,764,877,165,037,154,444,447,
829,288,234,473,349,726,014,720,911,208,933,526,603,825,806,145,270,089,464,
857,944,111,535,161,004,396,199,003,840,778,294,397,584,016,407,193,689,681,
635,640,538,508,610,057,439,240,435,234,992,194,525,185,448,916,878,624,017,
913,009,090,025,611,664,012,209,966,661,830,035,372,211,704,667,899,059,544,
455,390,857,288,635,951,025,642,993,506,532,655,475,982,997,820,098,910,921,
422,972,993,863,829,046,950,083,342,981,992,038,897,295,463,923,371,970,458,
977,716,428,556,281,872,517,809,619,672,675,991,546,863,370,773,054,750,725,
595,516,697,620,820,725,956,195,286,945,395,165,501,163,949,059,799,762,446,
147,155,893,398,341,462,948,752,233,622,702,036,919,929,380,665,024,434,251,
292,986,490,019,302,095,838,386,746,693,317,413,767,890,290,670,940,153,160,
896,547,831,761,346,627,779,774,877,547,980,185,619,892,544,586,530,486,193,
026,447,341,389,026,681,816,294,952,687,740,649,734,528,245,665,900,127,323,
306,643,335,666,313,472,294,902,315,960,439,641,733,412,391,118,207,977,478,
271,665,854,158,313,966,622,089,070,947,643,867,967,891,981,879,852,335,358,
200,923,966,883,351,506,940,046,761,198,070,542,993,139,081,831,461,612,610,
265,606,518,438,537,519,252,609,739,257,970,256,937,594,449,618,840,028,458,
655,256,344,374,151,416,301,587,069,905,089,481,992,101,336,439,076,121,393,
797,881,093,635,905,558,827,198,487,717,729,552,018,454,993,361,727,057,063,
177,642,915,076,165,654,462,091,504,945,005,988,248,307,304,643,281,076,844,
790,591,126,781,475,990,404,690,822,819,048,686,257,214,749,577,106,981,408,
005,243,697,095,918,838,441,701,355,463,791,068,914,048,320,563,394,860,013,
241,151,052,580,898,323,377,509,325,839,191,840,168,114,227,134,196,595,612,
785,039,742,798,370,166,301,294,138,633,010,561,160,046,153,643,580,508,619,
540,496,341,526,015,510,096,557,665,950,426,032,279,984,385,672,936,139,833,
027,464,014,647,203,113,213,680,388,216,565,309,470,248,725,657,471,188,160,
849,269,193,724,423,575,244,328,512,429,855,622,922,178,620,199,794,850,429,
760,933,057,704,396,141,599,009,205,187,405,629,305,498,919,116,036,274,502,
938,374,424,744,263,532,358,950,222,771,744,811,403,876,673,668,522,579,635,
949,695,223,612,389,745,238,626,020,711,080,228,966,767,507,304,167,711,709,
450,485,076,587,429,833,472,146,984,624,138,380,810,152,401,098,238,492,915,
803,754,451,903,613,452,203,729,265,431,467,650,677,697,334,054,003,885,585,
352,321,572,942,810,550,597,495,623,367,632,733,372,434,217,333,461,187,517,
566,819,308,712,908,304,066,517,961,650,073,246,709,808,676,150,560,347,240,
520,474,896,637,688,119,692,156,238,332,062,654,837,823,514,854,892,436,863,
998,337,687,367,724,406,883,559,403,782,338,339,700,842,999,074,281,798,595,
595,374,186,028,070,824,232,072,706,601,982,582,577,872,448,732,088,343,145,
429,980,670,419,982,131,078,540,590,972,097,825,798,515,446,808,508,500,033,
896,099,945,527,241,576,810,613,680,099,201,028,123,369,224,600,318,651,110,
100,282,282,152,098,838,546,668,516,255,360,421,873,414,305,767,993,208,448,
822,645,000,638,832,357,417,465,207,802,487,082,846,590,632,650,702,851,319,
224,681,964,850,401,602,808,091,311,967,206,058,084,484,692,829,097,567,274,
892,048,256,297,370,445,022,941,256,564,452,005,425,968,488,324,095,210,133,
820,584,798,379,637,357,138,354,901,987,703,313,919,567,921,992,262,213,309,
516,614,025,408,743,012,442,282,879,799,366,349,296,004,916,224,534,909,399,
178,892,046,402,713,589,014,183,897,834,584,304,108,808,081,882,131,068,263,
956,011,704,220,356,398,424,902,304,864,467,180,915,374,429,432,051,111,259,
990,283,052,987,311,443,833,501,589,778,166,964,117,848,624,387,693,009,950,
157,660,221,398,913,770,421,485,874,699,224,279,143,399,267,145,712,898,837,
205,050,564,709,733,034,723,419,786,546,843,544,457,168,142,215,462,925,606,
865,451,542,222,447,983,876,223,884,178,099,680,450,558,119,472,659,608,758,
966,276,181,383,034,919,470,866,625,859,618,218,095,098,520,423,460,870,219,
952,528,331,199,012,304,299,074,386,518,151,745,115,058,850,569,287,451,729,
658,680,005,946,267,417,412,156,313,859,598,342,280,231,075,897,012,502,930,
381,222,794,307,634,873,994,878,692,126,503,803,478,346,331,147,918,262,936,
284,154,710,720,902,843,176,273,036,214,092,774,914,895,039,140,186,882,498,
202,629,089,142,023,956,821,759,834,433,399,896,853,492,361,859,109,781,702,
520,257,158,573,910,932,407,308,125,122,801,644,132,242,551,677,372,446,146,
318,109,540,831,300,986,693,298,627,841,460,341,655,748,249,287,294,654,398,
638,404,467,429,952,249,613,650,446,964,588,297,934,519,671,819,755,170,720,
504,537,091,409,616,332,143,942,216,922,812,710,576,740,101,587,805,429,831,
597,325,018,006,382,921,302,399,608,396,248,567,568,775,465,069,311,164,381,
307,605,061,086,179,028,797,234,292,846,569,154,648,542,285,112,285,833,632,
487,686,199,281,536,192,228,053,119,683,974,865,719,405,631,732,387,278,730,
641,500,378,353,126,120,825,457,914,129,633,822,869,309,447,604,099,247,335,
975,081,877,031,203,370,976,971,199,222,715,846,289,743,877,380,277,597,638,
947,422,215,572,770,176,951,073,865,622,559,750,734,505,849,584,106,279,270,
207,420,458,770,805,961,601,958,017,345,674,705,918,481,796,821,452,404,373,
201,928,986,140,436,318,849,657,399,872,964,269,111,659,021,466,139,436,569,
149,698,332,215,238,940,725,358,915,301,004,712,295,982,760,922,193,860,175,
945,763,941,796,732,596,219,039,031,786,084,480,336,424,252,810,559,099,078,
217,103,572,763,183,578,063,935,801,127,067,132,417,533,883,918,652,797,082,
629,753,748,203,905,143,713,938,537,853,256,371,721,023,944,715,361,527,827,
717,702,954,443,441,003,150,875,852,049,278,418,923,763,237,208,098,910,355,
161,812,661,520,558,371,005,659,742,038,861,909,761,045,835,787,902,894,375,
630,139,092,603,905,531,682,266,744,583,830,075,301,602,049,235,683,837,994,
860,187,093,959,846,511,266,324,768,403,360,327,413,589,172,963,844,220,506,
173,416,476,243,048,689,046,851,610,040,926,077,070,923,241,678,103,741,982,
420,575,278,912,417,338,564,448,705,015,053,596,524,537,421,618,555,366,036,
146,880,349,262,320,524,660,035,702,537,836,437,752,745,841,413,614,539,623,
158,152,767,522,413,646,623,341,430,049,787,119,424,741,727,705,069,311,518,
229,440,563,385,948,800,908,598,473,989,538,174,590,448,657,215,504,649,992,
155,846,169,642,898,227,838,195,575,687,262,083,882,090,449,041,219,625,577,
983,192,543,236,522,657,574,212,128,731,927,557,289,559,224,085,220,610,417,
993,114,844,086,667,038,573,637,868,627,124,379,668,617,585,693,791,097,673,
213,621,295,823,542,396,453,891,598,677,469,464,996,883,043,593,768,257,544,
206,121,548,060,010,002,159,778,618,528,124,430,169,143,141,299,594,203,166,
678,458,045,909,886,370,822,898,903,829,257,565,043,574,728,804,128,059,284,
947,284,982,804,852,038,685,831,933,783,886,426,725,431,674,582,309,630,048,
058,570,981,656,112,566,541,847,822,279,506,384,851,807,722,844,143,962,175,
338,385,916,079,901,928,365,671,355,357,004,673,274,290,188,446,477,452,139,
856,577,880,397,640,438,885,813,419,391,781,672,171,930,577,316,311,099,002,
787,684,675,151,981,006,424,190,625,101,888,487,721,703,498,689,311,101,087,
795,778,157,079,203,254,771,355,004,643,179,907,382,673,698,558,767,631,921,
254,019,700,787,035,721,710,930,430,709,296,755,628,776,458,425,056,041,242,
129,262,877,751,369,884,511,984,864,166,591,220,772,597,675,276,262,571,012,
028,591,049,112,081,347,970,374,202,778,548,781,574,844,008,783,087,061,573,
765,061,959,508,802,725,107,551,258,126,365,957,129,477,202,371,924,833,259,
736,098,941,247,206,972,290,946,423,766,631,129,373,866,910,972,978,975,810,
743,211,819,409,903,779,341,183,126,156,492,255,786,750,128,922,928,508,646,
002,636,650,541,843,424,808,834,519,431,736,701,217,862,069,125,112,939,498,
155,248,316,717,452,391,952,440,323,691,094,572,423,020,184,046,163,069,757,
066,253,591,052,960,807,795,946,718,448,591,384,074,335,011,503,856,679,021,
478,649,798,413,671,714,190,774,819,617,671,201,308,803,581,270,682,945,334,
210,921,370,594,788,163,340,507,578,254,510,541,086,411,979,432,972,323,778,
522,843,032,834,781,767,495,484,201,534,737,062,607,730,866,137,331,177,837,
040,687,159,305,327,014,421,159,412,757,209,050,520,070,085,483,980,383,989,
317,308,166,651,868,133,058,002,996,519,339,543,545,911,207,003,558,060,729,
461,078,595,150,155,227,323,782,915,490,937,786,059,500,132,051,261,808,099,
371,811,923,946,886,210,979,859,108,183,807,193,422,057,331,276,867,870,132,
553,827,423,524,516,839,443,622,474,028,312,305,899,392,237,101,874,425,692,
120,413,561,331,952,618,668,259,083,589,072,922,143,610,785,587,090,445,721,
266,429,608,382,912,254,885,765,068,549,348,037,822,042,872,024,039,759,855,
163,579,449,034,076,095,985,235,691,789,238,037,559,287,735,422,727,797,797,
814,499,084,298,201,204,855,293,026,945,388,347,932,751,306,307,237,009,649,
916,500,821,072,215,679,728,844,190,464,145,206,455,963,919,290,706,026,300,
027,954,515,025,326,892,087,655,367,279,393,458,553,006,609,099,643,945,336,
656,589,355,444,883,455,904,168,843,764,421,458,453,102,550,927,661,147,396,
689,005,496,885,530,980,383,351,745,223,782,501,206,380,099,133,914,042,636,
608,818,342,636,347,503,221,641,740,952,619,657,744,581,236,168,362,024,887,
237,358,374,683,380,998,517,907,262,245,617,895,516,665,390,610,892,795,272,
723,040,041,181,377,954,928,057,616,755,129,370,112,684,782,974,917,996,101,
438,989,129,562,508,968,607,523,733,321,234,545,711,141,626,576,484,589,903,
490,028,976,539,337,431,196,378,853,553,710,994,292,074,573,180,346,930,451,
520,926,649,456,580,698,376,334,222,851,083,233,365,008,267,838,685,085,632,
244,350,687,248,876,093,103,366,464,777,175,104,404,958,649,966,696,106,003,
867,514,168,869,645,278,080,881,555,089,306,651,840,315,311,636,897,134,504,
767,082,652,029,055,057,525,457,126,866,427,729,736,277,186,596,066,359,189,
840,808,967,445,550,084,524,263,430,461,692,298,454,367,351,258,436,871,556,
891,221,387,639,121,933,017,874,908,398,103,500,490,397,779,335,353,684,426,
294,782,742,029,205,224,841,162,244,067,542,239,238,820,996,584,377,525,166,
494,598,213,342,533,567,552,874,844,888,769,883,501,577,912,509,522,159,757,
545,799,193,321,181,760,166,034,576,149,148,402,807,952,126,959,630,957,748,
266,981,092,980,202,507,696,374,201,608,349,980,907,955,039,214,566,517,316,
657,312,889,623,241,687,767,445,503,966,039,087,436,072,330,555,407,773,046,
171,250,135,670,475,195,310,540,677,958,115,133,045,442,003,549,855,529,379,
396,398,516,437,123,876,952,093,188,943,422,530,578,321,805,207,939,003,976,
460,133,973,301,314,123,182,542,905,609,817,817,698,131,741,888,380,286,922,
793,049,416,062,778,211,429,847,971,697,351,155,126,486,724,910,222,568,582,
648,567,957,486,868,549,382,002,892,674,405,036,718,116,156,076,686,892,007,
248,927,255,909,131,783,711,621,983,408,451,206,613,433,114,330,204,634,383,
072,221,242,036,157,833,767,706,337,413,769,265,873,918,740,535,570,174,391,
432,009,041,048,172,941,291,745,337,508,451,583,418,283,794,277,519,953,477,
768,352,070,244,405,735,405,599,934,312,068,343,148,381,676,589,809,884,155,
664,614,812,688,778,827,853,805,923,450,214,362,782,714,577,319,106,961,627,
390,926,614,817,972,340,897,972,128,131,344,342,171,872,324,622,059,954,388,
205,123,523,619,162,957,300,906,602,240,175,043,261,746,300,056,041,751,465,
998,668,040,658,746,509,781,281,979,179,081,351,943,716,137,685,462,668,052,
750,050,053,721,910,791,451,027,497,193,602,729,849,192,043,125,159,117,487,
465,534,962,219,124,643,529,983,600,097,867,152,435,870,538,378,480,642,376,
511,391,129,647,012,159,288,696,746,361,799,348,892,207,403,962,018,014,532,
346,748,616,597,445,208,952,596,119,955,538,816,506,872,472,900,755,977,446,
263,097,895,839,606,533,578,773,274,648,662,556,434,216,535,607,760,792,419,
318,059,685,798,749,558,775,478,617,888,716,523,721,436,719,139,110,191,852,
977,537,578,237,133,426,479,082,706,365,883,581,216,007,320,586,222,243,088,
030,925,911,208,190,731,839,266,107,641,191,022,482,913,598,265,797,102,689,
600,988,462,524,308,178,955,684,985,684,952,684,248,328,180,644,364,827,387,
956,978,378,008,709,283,362,355,557,680,352,866,208,216,211,323,509,078,424,
170,885,481,480,954,116,911,592,839,912,760,553,044,691,648,847,108,686,087,
990,620,030,530,707,756,023,739,336,301,025,582,345,134,743,289,335,078,579,
717,505,069,596,282,578,023,361,084,906,784,622,936,627,022,440,822,502,914,
667,628,486,330,032,684,887,389,501,956,632,812,194,597,122,065,364,066,519,
604,508,807,024,459,111,529,662,418,477,708,699,622,797,402,249,072,493,755,
980,500,929,541,935,484,997,796,806,440,011,959,237,160,102,642,669,387,047,
275,014,059,730,595,486,904,739,130,948,028,383,197,234,539,534,476,320,930,
525,818,824,476,590,397,789,746,457,867,278,794,138,777,159,592,177,163,739,
656,479,013,734,482,161,425,274,399,982,802,761,138,905,935,737,306,406,146,
279,148,989,554,520,469,928,482,238,862,521,355,692,151,837,268,175,198,239,
833,678,381,906,162,908,275,369,483,172,414,024,419,110,606,215,112,650,122,
422,624,474,034,896,096,553,954,952,694,200,304,573,490,200,289,239,838,266,
628,581,829,191,983,945,486,786,223,288,319,863,338,386,298,536,042,463,770,
149,964,036,001,637,684,539,759,168,883,703,919,484,997,898,688,708,495,870,
679,201,942,410,130,722,405,912,665,209,709,557,332,202,296,624,218,636,240,
972,750,229,931,342,234,222,323,499,187,741,504,011,216,471,185,946,481,036,
656,464,845,433,267,832,766,333,511,321,519,031,053,756,893,099,955,043,638,
597,998,364,617,860,755,800,052,495,823,039,815,854,344,439,781,658,104,746,
403,904,860,116,061,827,844,934,519,660,137,272,629,638,543,884,141,566,199,
971,424,561,520,904,752,285,867,691,983,719,329,194,434,974,283,612,129,576,
864,224,827,805,858,003,700,498,738,700,026,886,532,162,829,838,778,467,922,
074,156,872,767,828,694,519,980,538,359,594,431,396,979,723,819,691,333,883,
113,571,144,514,988,917,332,742,835,678,673,330,681,291,929,940,124,669,211,
666,002,866,381,157,845,239,682,619,662,132,787,651,797,261,840,944,538,901,
592,788,548,054,710,841,674,764,289,736,997,776,669,763,891,012,419,054,033,
324,586,676,879,750,165,601,671,994,897,783,009,746,417,734,305,936,780,981,
422,092,457,190,608,923,373,531,455,461,535,662,453,423,366,170,939,945,863,
602,575,488,562,874,524,942,985,225,975,706,372,661,804,027,408,674,495,752,
823,194,999,680,489,215,099,868,624,895,958,835,574,030,541,307,877,646,651,
568,047,233,475,036,418,624,819,646,099,574,686,531,663,703,704,761,368,304,
358,024,988,498,239,757,579,894,676,923,152,663,059,584,654,498,374,221,952,
828,548,278,392,966,722,073,318,009,068,780,999,172,344,474,838,974,828,826,
260,090,538,049,446,740,606,068,799,075,297,431,704,772,278,679,641,122,065,
110,545,180,391,768,283,614,154,598,941,706,643,075,880,002,596,526,233,132,
393,814,324,145,484,343,663,149,451,937,463,636,272,998,474,641,639,156,315,
687,869,911,441,365,257,130,881,850,835,256,011,250,392,291,650,961,878,730,
426,651,880,127,798,633,192,212,004,981,965,546,218,842,364,068,218,830,628,
241,595,449,746,496,699,425,521,072,752,915,251,757,408,933,660,833,815,613,
621,693,496,111,869,867,870,949,388,767,313,505,723,558,103,445,236,686,503,
689,433,862,028,707,701,455,165,566,683,299,590,930,675,580,489,819,367,292,
992,518,658,156,786,338,668,689,505,057,572,681,554,694,038,899,357,006,321,
053,248,495,159,962,755,059,437,324,728,392,475,287,981,282,149,757,272,215,
794,560,012,776,735,941,976,539,114,834,840,070,755,385,671,796,542,295,279,
708,194,482,265,684,548,463,822,479,723,614,433,866,767,847,679,550,432,523,
571,724,829,454,003,028,908,473,611,045,782,989,697,385,266,356,926,024,510,
114,830,603,762,253,369,296,284,803,074,531,650,973,335,220,383,524,380,283,
845,526,927,107,843,980,310,536,227,364,638,783,305,024,904,712,135,036,458,
446,579,982,265,002,833,229,085,204,567,206,866,863,589,760,443,849,852,335,
430,325,880,279,617,425,479,221,503,011,602,673,596,383,066,121,600,392,764,
649,363,368,458,679,688,184,520,499,128,903,601,553,981,517,813,611,466,739,
293,993,267,132,572,846,965,686,450,817,611,813,215,175,127,946,288,103,819,
497,209,337,024,142,088,234,909,721,948,791,115,634,594,279,158,387,368,928,
992,669,249,204,673,683,089,867,524,837,267,959,095,963,720,837,542,553,389,
184,358,938,599,925,072,302,590,013,457,141,322,889,669,113,970,941,378,076,
910,489,736,504,748,125,873,163,431,666,671,069,535,360,199,390,373,897,850,
353,574,519,922,046,776,121,068,159,283,404,786,899,060,433,099,178,310,136,
811,355,478,884,354,523,598,761,046,546,054,560,117,857,716,118,818,189,222,
961,348,139,797,621,313,889,660,095,967,460,225,871,048,830,222,444,713,354,
429,116,832,772,865,395,609,373,384,574,075,185,193,776,143,435,649,565,826,
613,414,917,189,422,762,036,437,855,031,723,085,142,332,477,544,450,462,462,
935,992,033,316,386,168,926,693,404,532,459,766,219,393,480,661,340,378,719,
311,234,586,007,069,906,896,560,829,256,038,970,333,890,587,165,276,222,752,
379,557,801,396,490,297,029,743,987,906,825,965,963,158,932,783,283,527,785,
483,604,019,248,123,142,380,739,685,577,463,077,916,234,374,753,998,841,987,
571,754,041,313,822,508,688,284,388,274,010,213,268,462,454,259,228,010,858,
908,667,768,322,151,606,106,829,733,592,199,296,631,530,734,272,716,819,695,
984,205,948,420,197,207,375,292,795,095,379,889,227,008,118,305,197,733,897,
759,633,401,404,209,527,349,606,212,444,194,489,028,853,824,283,872,597,786,
696,139,385,306,390,699,072,049,902,669,684,608,983,024,140,741,951,875,460,
338,599,979,701,003,829,175,017,806,997,984,096,822,500,354,974,104,686,376,
831,205,708,822,872,580,265,150,959,804,691,168,541,538,491,580,884,559,854,
978,637,355,673,114,057,435,898,202,990,844,381,428,944,592,830,738,540,181,
519,892,812,850,982,648,738,890,448,619,964,175,958,862,923,902,270,369,394,
802,695,944,408,330,778,039,297,624,476,916,298,106,042,562,999,187,609,188,
514,009,662,389,707,505,323,534,622,143,148,347,789,861,741,801,983,900,073,
366,724,735,003,025,095,593,657,930,963,137,434,109,376,561,283,613,031,262,
068,318,169,244,165,305,586,135,712,055,066,417,161,485,538,547,853,883,429,
234,243,335,265,893,669,674,869,483,612,579,490,044,465,925,922,133,727,659,
968,085,105,878,072,797,847,314,730,213,375,524,759,031,032,479,980,861,997,
383,015,334,134,280,569,127,203,696,746,355,671,346,003,642,328,075,335,546,
093,542,089,878,582,270,150,154,193,469,414,056,318,983,126,845,814,396,951,
120,969,207,892,124,962,413,600,458,255,562,914,784,361,899,655,580,825,437,
954,492,888,035,137,150,291,804,676,332,385,287,232,797,793,551,696,498,279,
847,317,306,155,983,653,835,434,967,645,172,837,766,614,041,696,912,589,993,
556,969,185,097,733,157,438,889,727,659,162,372,679,606,660,565,562,302,663,
498,061,377,691,650,002,833,015,484,834,262,300,513,999,954,236,845,304,519,
680,034,178,339,424,997,805,542,318,924,175,123,884,140,153,642,977,329,087,
322,578,585,591,457,393,511,469,787,398,560,884,682,544,630,657,583,170,298,
610,333,961,131,975,525,890,456,404,958,857,283,785,646,954,393,099,145,456,
872,098,308,600,403,136,569,011,152,932,498,175,751,812,242,108,316,889,353,
499,335,322,995,297,318,027,055,635,771,480,887,326,270,049,505,301,219,677,
300,353,365,544,516,736,750,847,957,685,650,945,957,632,588,032,026,410,765,
275,703,450,320,746,188,402,320,792,174,225,669,871,050,286,696,790,703,789,
224,619,620,628,390,109,329,564,201,333,752,852,421,334,952,976,384,973,968,
828,706,392,121,921,928,380,652,388,023,359,316,437,684,987,913,915,022,720,
248,058,775,722,551,101,509,859,984,883,107,958,716,297,625,836,990,159,077,
962,772,930,218,912,657,011,512,372,685,048,330,294,251,357,484,436,370,969,
039,755,801,782,067,874,638,862,811,840,980,635,515,925,776,115,351,731,032,
222,858,186,814,205,738,888,261,810,058,489,025,404,236,524,297,608,465,202,
537,256,544,642,296,792,522,679,288,550,110,717,080,007,060,085,855,129,647,
837,521,665,591,579,734,146,237,827,261,546,767,014,639,730,805,129,708,921,
782,059,851,378,793,586,511,245,254,475,110,180,414,949,321,973,041,832,739,
707,069,862,708,756,204,643,564,971,151,196,395,539,661,836,112,629,650,113,
517,303,971,574,466,846,332,726,553,234,181,397,051,715,595,644,411,655,162,
469,461,714,501,614,260,377,416,194,358,940,467,814,654,456,350,859,181,550,
693,255,994,184,769,224,582,519,264,585,964,049,033,580,885,681,073,047,762,
468,504,273,931,537,003,354,072,116,713,002,525,652,993,615,309,006,059,190,
360,130,111,930,546,224,472,983,123,854,173,788,564,044,048,483,347,790,621,
464,420,024,316,022,504,632,131,491,334,451,900,019,165,432,947,424,474,403,
220,299,608,265,153,833,487,742,213,903,277,928,693,519,888,327,941,209,966,
341,987,281,639,608,055,425,702,083,648,535,608,435,265,566,523,187,572,352,
615,142,456,164,174,232,076,609,296,398,969,061,879,011,725,506,937,751,942,
133,610,334,552,705,297,627,137,880,663,999,212,773,182,924,290,593,788,400,
919,044,153,554,557,342,568,728,153,233,042,928,470,527,797,622,187,318,656,
857,815,019,472,651,140,536,240,562,616,643,760,734,808,357,708,545,395,138,
141,634,059,198,049,830,660,326,022,249,171,183,736,552,462,103,409,308,776,
797,341,947,093,988,196,330,574,725,281,206,303,527,187,453,784,540,527,043,
714,190,012,543,595,878,141,970,003,700,359,317,463,959,571,153,877,739,861,
032,152,376,936,547,245,548,100,075,530,210,220,437,711,243,840,944,440,490,
439,125,115,218,794,870,823,275,530,807,326,267,168,355,975,594,959,336,085,
258,060,237,842,658,957,558,421,034,906,233,703,255,469,128,014,239,645,667,
922,262,903,447,916,775,236,623,148,573,562,317,949,290,454,732,314,469,649,
874,898,911,958,213,866,101,530,721,515,259,723,237,325,377,189,185,037,080,
703,584,775,264,649,506,880,902,941,172,642,436,978,888,848,058,328,762,836,
469,650,926,657,173,042,960,350,858,861,291,083,941,415,948,605,242,891,141,
303,047,406,270,034,752,402,025,203,043,376,869,541,919,790,073,440,090,560,
464,853,834,273,257,819,828,126,985,966,224,035,162,791,657,432,340,969,707,
686,968,159,599,169,165,363,097,564,902,531,621,460,945,471,708,927,822,532,
431,981,944,906,274,120,128,559,924,108,851,803,462,564,982,874,820,296,933,
735,556,682,554,033,058,305,861,478,791,678,615,732,280,600,537,103,099,721,
997,181,621,478,722,837,431,194,640,112,936,435,454,522,048,364,610,241,190,
998,803,520,301,270,942,229,780,856,290,040,231,478,485,303,980,663,275,088,
652,873,317,510,781,696,100,589,131,136,192,686,247,569,333,380,396,907,513,
331,793,652,192,114,305,160,449,263,853,567,958,059,431,197,237,996,958,050,
943,596,742,348,189,049,653,314,573,184,857,322,763,697,071,064,079,975,506,
061,093,003,120,321,667,591,216,766,228,053,462,420,750,270,871,927,316,594,
865,171,145,368,099,206,705,463,481,478,398,197,159,171,563,152,559,648,912,
083,977,376,140,274,887,589,004,213,978,822,658,638,706,671,500,146,135,423,
200,915,724,332,966,873,662,581,269,571,456,808,138,107,550,367,133,330,526,
625,933,322,414,504,804,945,214,911,931,573,743,228,521,269,142,188,216,686,
005,179,197,724,725,506,014,714,193,106,111,010,065,155,403,026,821,377,686,
095,098,411,916,382,970,484,131,986,910,601,890,142,499,428,799,247,806,125,
849,609,714,919,253,664,113,745,458,158,730,755,085,063,199,807,942,865,802,
096,159,820,055,921,864,395,610,664,921,132,853,783,314,290,511,702,734,199,
442,171,265,800,331,846,208,128,505,626,205,448,583,057,221,319,360,263,457,
302,233,149,437,653,677,754,078,617,260,033,761,489,877,064,743,023,284,512,
319,418,577,180,737,401,670,514,780,246,726,296,333,505,814,938,755,962,972,
828,430,295,405,886,712,167,591,909,296,399,775,535,327,004,159,762,144,443,
753,333,246,567,987,496,333,519,070,045,528,319,255,630,807,724,408,845,940,
310,265,086,582,251,781,204,402,508,853,034,531,214,736,352,782,095,775,121,
017,771,013,543,032,547,513,611,273,368,430,200,115,847,586,951,064,349,443,
297,009,088,026,055,676,712,139,368,603,795,136,999,016,218,929,944,745,215,
079,629,485,474,373,115,522,440,433,659,494,984,238,785,523,690,988,734,561,
595,109,243,780,261,106,406,433,979,212,929,630,847,238,231,905,076,898,378,
260,950,073,307,973,131,818,589,203,602,716,116,832,999,018,276,702,853,891,
945,784,522,594,524,727,766,131,436,912,643,450,214,274,402,968,059,343,072,
162,195,971,719,414,904,432,872,612,500,053,416,987,245,638,745,353,443,694,
635,828,826,573,292,795,693,642,543,061,394,648,984,065,692,137,915,730,483,
578,173,980,679,577,597,976,413,060,841,382,558,484,079,848,665,771,676,282,
706,059,616,768,064,354,886,881,504,588,122,054,012,955,157,273,758,979,714,
520,977,265,414,932,905,207,382,538,033,780,962,657,656,475,196,973,650,316,
216,255,094,752,108,990,712,777,033,700,805,338,649,566,377,455,790,253,254,
878,587,973,168,860,830,639,783,594,742,849,862,500,266,130,260,257,385,055,
578,377,861,125,358,165,969,538,454,943,683,932,342,829,265,770,316,016,608,
373,245,489,323,072,700,320,767,956,719,187,093,898,118,453,181,164,902,082,
656,250,681,912,879,822,513,816,762,509,444,531,636,582,495,412,631,731,634,
436,595,543,292,711,721,254,172,581,088,959,670,917,588,384,668,574,946,743,
599,141,935,507,047,718,126,913,405,898,245,111,911,932,629,973,625,583,690,
289,258,046,718,694,810,407,682,255,024,158,347,523,180,034,356,493,101,710,
945,122,746,303,051,502,797,909,802,659,918,973,957,625,964,100,592,186,538,
371,259,224,317,953,249,486,342,668,084,312,965,231,272,968,255,811,449,338,
282,491,174,080,964,680,018,364,524,085,594,828,825,071,957,632,455,116,492,
539,244,941,603,370,050,170,143,627,722,072,159,415,844,069,512,395,493,514,
471,840,664,624,649,737,868,824,748,356,218,536,026,963,582,353,763,612,832,
643,580,380,256,600,971,976,829,370,670,127,666,024,775,657,374,062,378,965,
250,090,644,972,820,848,816,608,348,641,688,182,686,104,788,974,519,793,454,
347,473,525,940,551,928,707,082,369,914,871,731,326,035,893,931,593,935,290,
519,843,496,959,340,730,675,329,924,366,824,312,890,781,014,699,642,148,792,
005,035,783,215,760,869,129,499,769,130,231,539,839,748,743,571,746,912,194,
453,894,540,378,295,171,327,709,677,990,736,796,525,533,301,326,612,999,333,
805,522,726,981,414,140,007,269,680,076,235,666,196,970,528,131,878,135,986,
189,460,381,383,420,686,516,344,178,947,672,608,300,157,477,011,418,569,322,
763,032,880,041,256,693,105,007,394,553,040,845,927,590,599,614,439,221,424,
688,618,197,491,613,253,600,653,853,885,944,303,478,887,765,653,371,951,864,
409,533,950,998,258,000,761,327,833,036,050,814,552,478,463,550,820,611,567,
742,978,955,928,865,654,594,668,426,581,575,653,318,873,157,885,426,244,966,
027,963,422,812,205,024,219,414,090,964,781,713,780,765,496,332,905,540,975,
809,912,387,063,037,710,659,479,505,265,092,677,645,415,295,345,854,466,498,
766,784,990,503,841,215,915,601,435,131,574,069,508,438,437,227,924,341,601,
118,172,033,887,574,624,268,510,890,809,889,804,327,027,259,078,490,225,234,
489,499,024,508,027,172,911,106,638,491,773,819,886,073,318,267,094,997,223,
029,916,072,615,138,368,275,556,026,159,706,812,563,945,615,149,817,310,463,
707,165,008,176,311,256,355,882,266,883,790,875,108,769,740,812,434,527,617,
951,847,956,496,020,723,939,330,859,573,475,641,525,757,528,502,850,137,013,
517,195,514,090,065,643,135,306,362,003,474,430,349,324,223,636,215,629,839,
323,978,838,690,421,684,351,851,775,021,240,818,850,093,194,915,749,284,268,
901,402,283,352,613,737,925,445,543,824,423,605,909,242,569,561,495,056,277,
877,263,899,144,901,962,361,354,430,538,765,258,982,408,085,988,636,838,186,
117,127,295,234,794,278,369,108,510,559,429,197,709,938,949,403,776,617,408,
874,585,474,320,729,123,446,975,041,214,247,061,073,178,845,884,132,375,087,
857,615,247,104,896,519,479,036,823,347,191,933,082,818,825,127,661,210,417,
421,005,118,364,424,069,870,208,267,574,646,775,379,401,573,505,720,949,518,
611,732,780,952,950,443,385,621,845,652,405,855,951,257,836,157,777,617,109,
691,794,839,801,119,217,230,245,263,829,007,786,078,208,367,040,948,245,121,
421,083,822,665,119,346,736,699,502,616,288,641,849,913,391,788,287,828,437,
101,111,732,900,202,180,124,433,493,926,239,778,546,053,896,820,262,711,531,
227,445,479,053,444,953,306,846,596,084,428,556,111,571,433,643,967,061,666,
091,854,555,598,066,546,408,031,986,000,116,266,850,951,483,331,825,334,158,
791,779,045,337,332,111,291,437,791,523,618,305,574,868,023,602,069,733,020,
646,700,633,794,388,556,337,611,809,000,212,193,891,575,137,425,874,489,971,
093,182,664,121,755,822,932,500,516,638,238,467,262,963,217,230,795,819,194,
211,409,841,453,453,764,599,912,077,266,922,857,161,362,706,298,007,622,060,
706,175,281,928,744,075,428,185,906,229,666,060,256,027,512,987,684,953,243,
176,790,613,898,851,447,951,307,229,399,587,720,004,417,841,425,385,977,242,
109,406,195,364,136,012,417,522,276,896,934,168,940,979,181,204,411,394,409,
140,898,051,293,971,067,673,162,489,088,955,167,659,751,297,245,277,824,584,
950,999,685,142,898,841,630,014,832,285,824,329,055,708,495,403,107,795,723,
259,650,820,914,334,148,712,313,385,793,353,825,003,753,682,262,081,675,875,
326,636,911,650,448,065,908,596,640,309,726,736,196,464,520,313,005,620,330,
837,900,553,385,373,151,600,766,161,646,044,931,053,104,486,574,891,425,171,
904,316,727,696,005,426,524,605,726,835,456,382,063,797,498,982,799,562,708,
687,734,575,191,840,944,830,826,315,911,098,306,465,266,405,841,716,173,967,
265,729,078,649,763,562,536,736,567,968,265,454,581,192,463,325,578,786,047,
417,660,310,356,640,310,587,982,162,542,624,890,018,350,374,276,377,804,569,
416,383,193,637,017,195,225,660,216,158,314,217,693,932,546,258,460,624,861,
843,222,223,619,175,339,367,687,876,406,906,911,052,849,230,790,109,433,531,
996,762,707,412,485,248,070,082,267,361,208,644,082,037,973,793,348,872,655,
246,428,251,493,330,778,692,051,262,883,975,922,393,787,576,765,073,398,561,
517,129,295,633,759,190,857,942,652,726,795,002,086,670,174,197,249,997,245,
128,848,890,066,396,113,548,665,099,658,220,869,783,089,699,494,329,739,637,
605,260,194,462,713,270,729,106,058,308,040,519,277,907,132,675,507,451,929,
489,053,922,942,859,671,863,398,339,976,940,730,258,373,131,700,364,779,941,
019,645,829,646,131,025,805,979,770,543,767,737,586,788,760,854,383,841,549,
723,481,949,679,926,542,537,686,575,292,426,891,741,271,965,214,597,231,980,
327,534,725,289,593,761,864,200,862,340,387,394,598,327,807,284,399,542,567,
831,725,884,602,783,712,412,643,222,833,087,404,377,279,313,678,868,478,074,
512,207,283,738,043,398,502,193,812,771,512,119,608,368,121,609,277,528,704,
988,438,481,147,069,063,561,880,566,978,817,161,837,121,709,519,674,069,222,
893,048,175,247,048,130,526,583,701,017,602,011,487,469,896,155,232,349,999,
450,460,714,050,399,891,502,004,649,210,047,381,687,448,957,212,090,182,662,
867,294,035,598,665,310,128,155,167,773,232,726,440,295,039,553,714,403,595,
331,406,483,842,520,096,130,270,445,462,704,594,514,313,204,064,264,243,342,
012,957,960,935,547,247,170,675,679,541,264,463,587,094,371,051,935,664,066,
842,570,722,760,697,747,149,957,559,772,723,955,453,449,838,302,695,037,535,
587,456,098,129,262,414,186,686,198,129,915,620,345,200,510,598,833,286,890,
537,199,378,913,941,579,505,157,203,642,588,596,748,370,184,963,434,354,454,
777,437,807,419,305,459,237,153,080,159,902,973,071,776,811,199,972,215,812,
620,549,652,391,842,057,206,908,500,605,702,482,673,591,972,207,770,308,403,
718,559,175,517,207,184,198,994,384,593,049,574,067,675,093,088,047,859,855,
968,786,182,402,384,043,929,675,230,765,165,567,930,262,412,074,638,456,797,
090,006,851,980,130,052,161,507,237,999,518,198,955,410,067,834,976,759,190,
697,397,220,510,071,969,670,431,220,785,492,059,767,171,686,835,093,490,133,
368,022,713,100,962,528,152,685,037,220,943,174,320,270,184,360,822,461,294,
888,566,395,414,452,188,746,931,705,648,952,711,136,071,627,536,124,435,354,
350,320,784,526,399,298,195,916,064,554,044,905,101,046,739,580,339,151,253,
125,935,675,094,560,885,673,640,684,300,583,702,981,634,597,727,572,898,872,
697,082,108,281,418,095,569,894,274,870,319,695,029,271,213,418,394,089,296,
784,434,132,703,475,487,028,736,695,339,230,002,957,898,876,072,655,846,349,
694,869,948,321,447,456,199,037,603,063,256,204,145,467,438,616,230,224,552,
399,630,963,129,879,825,173,855,458,993,192,691,741,015,599,573,759,522,917,
382,498,580,065,371,467,397,716,159,706,491,536,046,157,652,666,682,351,211,
060,126,988,504,286,297,785,606,683,135,790,446,537,343,594,876,638,731,113,
483,788,317,992,971,470,389,446,584,462,868,244,361,903,785,406,078,336,235,
052,314,404,889,627,981,748,846,604,898,103,674,654,512,856,363,742,941,872,
921,477,564,789,102,329,913,408,950,142,049,200,025,330,129,327,161,320,373,
822,035,619,255,619,868,643,390,559,788,081,552,585,717,083,818,436,204,643,
403,382,598,512,236,499,671,720,386,755,692,406,507,684,057,943,146,350,672,
988,513,311,761,838,826,868,914,670,541,380,772,852,180,203,599,751,554,346,
451,446,878,161,778,889,442,639,012,908,734,746,815,470,351,158,062,146,230,
056,119,070,652,681,688,946,914,316,490,386,458,084,503,623,553,313,345,936,
179,253,645,074,309,918,231,490,367,045,354,559,945,491,797,810,320,913,282,
695,098,000,303,792,113,717,318,659,475,367,142,092,243,039,621,476,952,358,
112,716,397,873,135,343,221,606,373,061,061,996,439,992,217,483,719,360,795,
448,835,077,307,102,400,732,217,720,885,402,291,362,748,608,316,529,828,042,
545,671,854,875,037,753,565,957,555,422,075,174,007,098,877,769,414,660,451,
250,799,971,190,727,922,655,699,256,464,754,597,680,024,808,930,058,865,609,
609,011,580,261,853,189,315,975,857,650,471,711,900,319,490,011,142,538,835,
994,952,911,180,543,149,621,607,514,071,003,305,373,659,613,305,743,907,408,
453,118,956,908,853,587,447,840,222,862,299,013,342,737,786,613,681,306,261,
636,908,506,949,954,194,830,297,647,872,970,272,199,848,895,601,080,965,133,
838,070,465,056,149,235,677,030,215,506,669,992,972,603,780,985,611,647,124,
776,904,569,827,697,890,898,296,332,457,561,016,145,653,482,938,912,939,071,
447,425,060,024,855,926,902,957,638,000,299,514,489,826,092,729,816,524,271,
933,500,733,828,884,449,454,767,228,389,429,858,598,556,180,244,729,756,369,
656,434,157,828,115,736,347,724,446,591,144,683,039,403,107,861,171,268,672,
832,023,190,579,658,008,828,251,504,233,816,655,638,667,540,836,671,990,611,
904,549,381,023,548,118,366,715,685,226,953,420,456,403,773,328,362,681,418,
712,270,237,738,518,702,216,719,950,808,229,723,921,333,216,104,209,192,792,
823,502,910,274,367,618,855,646,025,260,583,221,658,573,132,241,401,362,883,
112,706,832,102,495,661,968,504,479,938,565,796,643,016,473,213,477,163,847,
333,670,200,034,652,742,069,816,962,549,317,703,895,774,333,012,979,764,266,
431,824,596,973,371,791,804,777,112,120,380,001,021,126,533,945,454,563,680,
719,940,873,593,043,007,133,284,317,834,554,903,640,737,231,467,093,577,578,
818,077,339,992,801,756,689,499,268,278,819,026,318,696,823,323,936,179,738,
745,565,714,346,655,285,611,546,103,177,259,953,325,795,513,784,221,885,332,
809,387,409,069,946,027,165,166,616,369,189,345,635,473,223,868,555,363,259,
193,120,733,492,374,183,928,302,769,682,539,891,979,113,343,248,914,938,173,
596,300,817,538,379,344,202,152,150,184,249,977,529,630,828,224,529,024,094,
261,938,374,623,247,460,966,350,636,568,584,338,821,249,975,266,683,011,262,
183,586,153,139,136,817,939,859,633,388,561,707,020,494,822,173,634,201,172,
294,226,984,067,562,678,222,246,553,042,236,139,892,977,920,190,566,791,593,
675,484,135,606,764,906,392,739,609,334,208,759,800,238,125,476,512,746,561,
786,252,130,116,451,433,664,018,070,184,747,148,897,095,916,606,393,448,449,
049,034,137,779,770,081,412,094,157,024,784,328,196,131,961,249,297,091,864,
272,123,615,540,772,705,532,985,714,702,701,593,608,469,190,417,540,545,756,
021,727,133,317,196,557,291,210,159,954,048,604,402,708,493,945,825,323,715,
125,944,131,216,638,738,918,712,143,208,586,600,493,347,066,671,834,954,560,
666,850,397,093,162,862,897,499,920,516,468,781,420,284,591,186,173,691,577,
533,965,571,355,485,473,338,456,275,271,670,098,529,664,516,426,125,577,975,
651,168,286,709,684,539,905,842,030,875,786,575,027,653,733,419,375,220,588,
244,959,428,323,017,850,279,631,984,690,877,517,552,250,400,830,548,668,711,
593,877,002,602,410,786,346,140,921,099,408,327,739,164,633,629,805,105,907,
903,508,466,248,012,163,428,806,504,789,555,250,009,596,934,041,572,317,358,
854,600,537,339,091,215,649,084,874,507,226,111,229,732,695,821,108,360,317,
953,683,574,935,300,387,913,013,518,290,158,430,844,386,538,854,161,287,884,
338,076,631,613,254,299,237,121,529,820,351,542,299,223,439,331,257,215,651,
889,200,495,419,883,628,084,663,873,225,526,560,649,277,063,686,573,897,916,
258,460,573,602,993,954,284,722,565,862,709,854,189,652,937,136,027,843,442,
917,982,104,793,554,303,999,953,677,096,918,627,606,104,434,073,624,801,350,
856,847,157,517,902,911,284,043,002,713,302,399,755,317,864,407,730,060,277,
988,391,007,262,644,518,610,988,722,607,824,843,330,967,805,880,909,730,231,
422,961,545,500,059,134,602,644,053,168,933,413,804,019,693,998,884,017,597,
514,767,441,177,460,545,998,847,790,949,843,211,832,016,841,867,130,728,558,
854,055,367,537,133,559,321,373,956,426,588,033,434,229,911,613,256,885,891,
949,788,573,357,802,775,506,835,985,615,485,077,681,289,650,573,168,055,436,
846,439,339,516,702,240,991,660,057,519,129,488,243,768,651,654,601,319,014,
818,117,938,224,313,578,372,779,789,843,879,762,627,658,641,651,397,178,572,
329,591,765,636,023,279,072,357,766,742,247,957,637,640,783,436,672,638,147,
291,504,521,240,731,186,391,608,072,889,681,216,887,328,180,865,676,417,305,
655,906,332,032,149,155,441,705,354,525,194,193,148,024,043,079,442,718,963,
173,859,357,745,851,541,216,500,175,284,904,694,275,137,115,640,991,847,341,
794,963,529,824,088,972,180,297,993,974,999,781,887,404,164,798,728,953,508,
164,211,074,985,420,338,071,674,780,818,166,663,373,397,014,673,046,832,760,
638,152,969,477,458,382,702,750,977,834,405,547,521,269,464,382,499,163,446,
646,038,277,674,504,970,608,946,794,177,055,838,341,188,366,671,054,216,711,
105,378,140,971,547,691,441,021,785,353,140,103,485,185,413,127,712,648,375,
165,304,348,171,793,556,779,780,718,321,809,369,327,193,983,137,019,975,277,
915,810,629,289,276,270,099,733,360,590,497,960,241,988,908,623,860,027,928,
305,170,387,149,862,406,599,725,816,877,186,137,220,695,402,992,393,269,071,
926,037,876,529,268,156,787,625,114,794,643,031,905,970,378,589,432,906,640,
369,415,593,662,976,299,711,100,785,590,160,279,321,353,578,425,626,263,884,
693,045,971,338,475,354,420,648,009,027,129,648,020,389,727,116,610,071,737,
201,227,684,846,624,480,008,694,176,221,483,379,076,489,779,044,771,941,511,
465,669,131,139,273,384,379,076,189,791,377,093,461,287,833,735,968,675,008,
140,698,338,867,556,660,727,872,871,063,128,325,437,921,890,596,616,810,178,
795,110,172,572,856,420,442,413,436,301,886,185,034,004,460,079,991,585,398,
122,715,986,749,635,470,733,387,161,713,214,043,511,215,920,344,422,832,935,
852,921,614,527,411,820,597,720,835,253,308,112,924,717,622,831,313,014,896,
391,409,889,520,958,205,142,552,584,451,787,621,737,122,994,325,453,462,297,
033,203,079,763,783,135,977,305,049,361,273,564,158,711,559,745,362,940,280,
323,986,117,763,668,517,779,634,778,722,613,720,715,369,557,351,944,333,299,
277,506,891,317,170,449,136,446,049,492,816,052,356,343,426,084,471,066,888,
799,125,694,038,278,284,632,023,905,445,608,019,852,394,258,219,716,182,579,
598,012,153,880,074,335,041,920,374,225,798,978,457,551,147,160,387,080,144,
570,447,275,692,345,307,136,240,219,885,774,359,600,076,260,138,154,743,725,
345,342,698,511,627,671,807,179,580,366,138,236,646,954,769,737,643,192,653,
286,601,912,197,339,750,584,897,050,008,018,189,395,985,080,780,977,419,168,
392,932,720,120,072,525,251,439,568,497,312,517,850,497,395,840,798,865,246,
634,126,590,242,155,940,073,905,755,599,634,032,996,591,220,437,851,904,673,
224,748,337,073,483,188,985,952,356,261,917,240,424,331,155,050,084,854,654,
677,577,090,267,024,459,576,203,180,567,797,015,722,003,464,513,031,066,213,
598,232,295,987,421,073,760,132,204,757,382,831,920,299,795,559,806,912,729,
733,297,800,074,913,786,870,511,173,529,553,143,428,715,632,618,268,239,884,
808,876,243,182,732,927,445,980,079,390,897,915,144,442,736,302,571,980,164,
565,346,247,411,043,297,583,198,625,027,625,411,989,749,067,311,068,722,106,
910,518,909,589,032,630,703,035,572,444,305,160,265,503,715,457,334,596,533,
145,483,614,497,572,966,745,392,208,268,011,863,675,088,304,367,901,675,727,
133,110,548,385,779,728,967,387,848,272,269,675,170,389,529,269,163,356,230,
486,590,275,217,891,227,495,211,115,862,580,048,165,475,185,884,930,094,974,
967,829,245,230,992,207,283,146,106,790,456,369,680,628,461,417,614,425,556,
750,751,619,157,723,559,123,040,278,351,000,549,082,273,290,496,177,677,347,
275,588,651,338,038,796,296,593,317,521,278,567,530,262,384,467,717,178,325,
411,298,392,215,270,024,281,128,969,470,645,455,789,719,028,173,657,192,908,
980,168,436,800,709,086,129,006,358,258,576,032,228,877,245,648,969,156,631,
800,274,602,077,672,000,132,116,393,355,693,122,607,238,687,776,792,797,302,
170,320,496,842,838,190,084,942,126,224,382,719,162,804,898,344,971,457,222,
995,258,311,529,425,304,945,452,629,976,476,712,778,685,505,582,024,345,828,
965,172,862,312,209,443,449,451,402,171,354,446,824,504,827,490,171,937,038,
268,621,077,264,854,537,698,464,383,622,569,884,016,915,398,969,787,949,086,
031,585,330,801,013,385,947,386,773,733,516,882,120,476,649,154,540,089,578,
544,263,810,397,999,078,741,278,564,165,582,190,629,773,515,736,163,907,969,
357,344,153,934,927,114,356,159,742,104,258,836,631,067,799,766,238,493,987,
815,316,287,617,219,660,043,256,885,820,044,095,094,171,913,641,884,868,660,
361,889,063,325,455,234,717,778,524,594,940,302,346,635,635,848,106,378,551,
450,501,823,078,478,093,140,197,142,419,475,563,263,180,449,914,550,309,934,
521,113,796,059,512,875,391,183,126,566,410,489,745,753,403,905,617,118,257,
512,949,430,758,285,706,409,688,747,908,443,232,841,019,300,280,535,811,633,
927,929,371,828,321,451,442,017,936,368,226,945,261,981,055,724,183,582,775,
693,601,050,028,644,412,418,086,750,746,921,460,983,641,701,617,512,867,888,
379,343,886,348,246,735,236,154,569,374,907,062,414,573,117,086,451,037,500,
607,398,068,678,099,839,290,382,423,042,964,977,669,371,129,950,646,774,668,
375,944,944,613,716,523,877,082,221,912,267,869,950,591,728,390,033,541,596,
172,013,848,158,407,220,738,337,768,513,938,661,561,065,574,688,733,571,144,
759,663,358,216,153,354,965,879,985,571,148,595,246,517,478,884,488,644,775,
110,769,907,929,417,106,077,573,015,606,576,844,555,167,720,302,569,628,237,
307,528,843,352,614,933,999,413,289,829,883,800,757,994,366,035,446,329,438,
959,656,345,754,283,170,464,317,328,291,372,344,269,671,483,681,516,461,488,
855,365,107,273,591,112,686,035,123,156,542,382,237,780,230,965,645,503,444,
578,821,908,334,961,773,104,563,535,765,179,984,528,177,874,555,842,571,322,
283,321,356,730,669,570,506,091,000,655,971,676,496,994,942,605,496,945,914,
679,329,654,699,559,778,805,923,341,915,147,713,954,602,437,817,140,731,329,
735,638,435,485,189,012,582,599,654,433,706,631,785,284,895,405,107,077,503,
732,745,673,228,629,701,900,048,619,566,914,481,984,051,754,535,192,081,336,
164,029,760,707,252,502,940,640,508,294,343,066,751,672,594,144,281,356,294,
195,591,971,355,467,211,870,132,961,239,346,379,972,058,771,333,662,774,270,
245,100,093,352,985,281,481,195,629,842,112,919,133,570,087,292,422,856,630,
900,656,440,407,440,899,247,551,963,196,712,805,866,552,880,688,600,502,735,
302,296,221,211,718,684,767,728,657,904,213,051,863,508,515,298,193,091,965,
750,126,849,217,752,365,084,862,283,692,135,428,788,174,582,991,145,173,880,
006,681,875,677,367,298,508,119,891,815,693,954,457,800,773,210,861,377,137,
384,529,387,700,690,074,891,275,790,135,204,611,276,785,698,018,646,728,789,
259,203,030,232,783,903,684,807,379,941,824,869,117,563,924,759,074,243,206,
393,014,024,296,832,859,061,653,786,901,358,683,496,372,294,612,764,256,475,
726,097,865,215,395,723,195,284,126,313,564,827,819,468,456,675,661,442,811,
807,489,103,009,160,475,620,061,886,756,727,176,023,016,797,642,416,026,796,
941,684,229,756,196,846,385,535,685,784,807,581,593,140,975,903,226,084,393,
430,899,582,261,637,110,184,251,780,466,336,111,302,104,201,449,810,717,628,
114,586,601,102,636,774,910,439,320,726,634,581,043,047,722,973,024,052,716,
329,707,017,731,070,003,640,261,947,430,783,493,329,573,410,009,271,645,251,
477,279,422,382,607,343,564,014,636,096,367,574,123,530,326,233,256,996,426,
448,521,797,164,041,737,418,322,780,437,476,210,998,117,417,871,094,916,970,
571,872,758,290,153,754,977,030,593,178,306,922,596,299,828,217,948,820,380,
964,781,559,347,238,963,409,959,854,182,389,531,268,944,125,120,027,496,766,
991,362,785,362,582,748,107,850,716,841,634,484,696,472,800,743,065,145,719,
835,263,277,666,734,083,919,407,011,763,828,748,826,971,751,452,515,222,046,
771,250,215,732,040,253,362,906,881,085,839,494,613,372,636,022,724,203,207,
233,079,303,396,195,039,122,975,804,268,901,097,804,615,374,290,505,738,504,
340,898,783,225,343,131,170,909,046,222,331,629,928,551,070,965,541,873,206,
971,195,285,891,309,469,723,714,145,518,153,614,307,241,435,047,510,241,327,
312,968,921,754,039,095,431,262,846,335,207,804,257,743,090,391,535,709,303,
880,445,515,676,710,450,267,225,592,778,517,328,635,070,674,997,614,749,303,
030,659,631,330,471,980,828,058,508,015,987,470,795,115,980,044,478,924,949,
653,078,599,146,136,662,393,533,667,576,450,368,725,421,118,045,612,641,398,
211,837,168,719,705,158,502,981,667,205,306,299,529,430,102,131,085,906,890,
763,519,214,588,317,969,720,715,389,417,800,503,551,220,785,306,398,696,805,
381,527,865,723,082,772,053,993,698,888,859,820,032,928,502,104,958,197,784,
415,912,533,390,674,394,888,236,436,850,133,071,089,803,969,540,917,722,324,
963,738,451,499,783,652,475,692,620,853,753,061,065,280,869,391,944,460,745,
106,005,952,314,634,124,714,255,313,258,452,166,326,622,559,394,523,779,657,
649,389,874,856,127,657,631,533,352,236,796,470,368,566,565,192,986,961,332,
437,499,032,023,329,808,276,291,094,968,885,878,470,721,566,412,550,616,985,
623,322,932,795,807,561,152,991,263,409,443,742,671,496,603,187,718,880,741,
577,771,174,771,734,369,162,037,169,080,018,577,616,947,536,389,726,280,179,
916,697,035,034,812,106,754,138,599,733,994,660,924,798,822,596,741,113,750,
022,006,102,835,263,304,951,937,662,789,719,326,434,820,415,701,392,602,610,
752,481,477,263,582,519,534,913,501,034,687,649,390,892,244,587,938,530,850,
212,228,689,667,407,927,526,602,573,293,346,351,728,609,548,245,094,737,779,
805,995,146,525,251,533,920,453,719,340,333,082,886,218,790,682,762,332,382,
133,712,321,826,184,241,802,850,846,466,473,356,005,262,782,273,278,488,766,
811,869,894,649,023,589,712,135,908,788,517,085,429,197,020,455,312,931,749,
615,462,664,232,156,450,730,144,118,037,712,722,948,741,368,719,405,618,790,
293,907,615,716,016,695,410,118,227,129,317,273,651,841,741,840,454,387,233,
607,769,627,710,022,184,542,529,188,133,162,553,623,465,433,360,609,689,806,
837,279,733,314,895,909,158,952,505,600,643,030,913,379,417,207,280,152,552,
645,978,352,407,302,061,573,780,384,272,435,091,234,358,981,075,486,677,963,
718,802,472,456,382,791,558,117,208,807,126,700,777,095,866,352,419,164,717,
666,766,127,834,827,014,916,748,583,935,605,217,467,006,417,663,995,891,052,
895,202,192,259,608,825,058,927,413,527,790,794,538,962,589,702,248,185,591,
193,452,213,533,991,026,587,557,333,962,360,086,983,399,636,627,058,495,597,
707,947,882,952,328,538,669,546,082,840,289,004,143,004,294,122,323,493,804,
538,677,922,424,587,441,516,348,167,401,912,354,352,525,656,930,775,049,139,
100,638,264,483,545,849,962,576,352,127,810,037,634,410,240,131,645,854,104,
980,113,533,293,929,364,990,320,312,576,988,544,712,081,932,287,982,482,522,
682,126,423,398,166,625,701,616,147,726,531,772,845,639,945,755,474,784,688,
211,848,849,225,985,160,525,576,001,633,758,839,150,972,907,930,873,794,316,
114,808,930,776,502,046,342,588,625,885,042,347,832,995,073,181,973,318,616,
512,588,441,553,467,177,127,204,186,389,513,546,708,531,333,202,240,315,227,
243,849,576,405,682,307,850,751,391,937,773,721,359,917,297,907,827,291,585,
706,335,075,928,021,837,171,905,959,241,693,837,273,393,019,090,564,418,647,
695,709,647,882,543,786,101,362,452,700,062,561,053,372,383,600,650,263,233,
890,664,067,732,415,085,371,052,546,168,833,673,376,519,120,936,828,662,855,
968,636,381,732,291,163,423,787,921,447,720,973,148,045,377,117,318,280,475,
726,715,483,172,933,449,331,624,552,913,789,040,222,382,022,872,407,305,327,
103,742,969,682,330,779,487,533,819,226,514,118,607,283,316,889,905,625,969,
211,289,185,596,688,626,484,144,059,586,721,596,222,310,392,444,365,383,106,
822,412,368,679,131,715,302,815,874,200,812,273,150,623,806,397,435,002,009,
184,144,230,226,779,989,689,895,665,975,027,357,006,179,743,625,691,281,122,
457,063,389,125,351,319,472,650,920,709,225,270,498,335,245,385,550,663,981,
564,984,097,807,736,795,562,799,954,644,922,559,501,119,959,420,294,850,677,
112,354,689,956,240,847,765,269,837,382,191,240,477,869,251,846,626,930,471,
214,781,352,298,982,112,809,251,384,694,822,963,174,439,364,801,222,585,690,
534,510,742,014,610,056,649,065,602,579,685,941,016,489,293,896,874,140,571,
859,507,453,534,878,179,436,725,753,898,244,707,240,458,835,999,239,502,803,
783,661,546,742,207,135,215,952,483,917,548,839,366,773,394,186,906,504,920,
483,124,660,411,251,032,548,045,457,708,237,960,333,814,463,620,865,662,431,
812,280,001,251,542,368,606,943,973,245,395,983,117,253,189,360,245,101,777,
600,732,994,718,316,605,715,464,502,242,059,738,832,607,938,598,648,884,775,
700,877,403,323,499,621,924,739,192,771,823,074,502,367,613,195,867,038,639,
785,979,821,002,715,283,357,062,338,376,157,330,837,488,453,721,737,551,820,
324,989,523,595,772,277,281,886,235,561,398,512,772,639,551,095,113,948,750,
169,146,090,851,414,008,070,719,677,030,077,815,311,955,141,714,597,971,286,
022,686,531,861,802,943,808,130,915,111,813,368,220,568,789,172,027,560,450,
150,639,935,497,279,689,769,889,621,606,135,963,989,727,847,886,359,573,550,
012,959,714,516,776,217,602,584,900,747,343,602,528,430,905,841,131,778,640,
978,896,643,831,100,307,459,699,754,680,831,034,925,927,876,938,223,343,926,
890,875,582,101,500,829,383,721,257,774,698,076,955,953,898,887,339,817,787,
491,986,543,129,731,333,264,799,734,561,031,926,251,249,023,351,760,341,432,
665,066,675,891,235,020,273,006,200,630,567,839,642,090,286,428,773,333,128,
039,219,531,231,698,212,629,727,899,719,218,408,819,952,569,726,031,846,014,
562,022,017,182,132,251,908,123,516,763,236,766,728,025,191,506,133,399,412,
631,376,506,259,992,836,324,279,137,321,570,208,312,876,231,982,514,445,371,
710,622,429,099,362,923,944,970,361,684,946,959,824,666,184,107,956,209,773,
900,900,124,881,693,534,886,470,002,568,210,079,251,849,625,529,560,474,816,
492,419,850,180,558,891,220,417,362,621,922,687,118,268,549,753,619,239,869,
055,564,747,465,585,319,657,305,481,666,161,043,230,172,484,075,058,491,973,
597,900,861,338,485,626,274,221,009,703,673,593,805,235,188,645,873,719,771,
172,625,661,485,586,214,507,855,517,698,286,817,405,164,907,800,126,587,983,
540,351,395,825,272,596,265,746,108,404,365,788,743,122,572,143,321,712,530,
118,185,984,366,887,286,634,001,787,549,146,252,977,577,662,411,820,334,007,
139,984,773,764,223,317,003,732,361,522,317,492,513,420,210,865,178,501,606,
848,687,060,206,500,386,612,773,321,584,151,095,406,985,349,442,075,034,520,
996,778,502,135,525,858,917,662,857,453,155,922,631,598,549,967,980,658,130,
957,046,315,014,703,005,198,172,765,959,933,263,081,702,525,025,498,061,855,
023,286,828,559,407,964,642,426,289,091,862,706,410,405,035,218,866,340,378,
557,309,455,830,844,616,035,863,542,303,411,479,822,495,001,792,530,064,261,
720,299,859,247,216,162,818,262,421,184,802,581,130,215,524,265,664,471,544,
778,404,637,999,649,488,450,417,928,735,605,678,661,233,427,895,619,029,844,
319,487,916,163,044,071,117,917,413,828,404,990,786,680,354,723,319,530,891,
577,028,590,717,686,057,292,350,653,311,870,175,384,838,964,885,101,747,990,
875,315,287,638,492,416,386,165,200,383,093,214,116,038,555,571,561,957,649,
285,811,069,458,917,970,775,024,338,054,340,231,755,518,682,669,224,754,535,
677,070,427,999,289,244,641,229,531,625,104,480,231,404,928,393,719,136,638,
339,251,134,439,984,304,229,683,675,039,347,625,011,342,384,262,895,515,848,
583,650,047,008,366,453,578,639,718,623,384,368,797,472,265,742,768,932,248,
322,958,417,391,583,276,399,630,728,458,984,329,417,301,502,307,797,504,522,
526,041,282,212,968,417,300,471,537,549,824,011,550,799,361,768,960,967,071,
666,086,690,465,892,982,358,818,753,706,348,494,136,918,165,399,540,932,637,
445,758,957,640,560,542,166,164,798,364,854,108,712,052,907,172,550,429,952,
625,371,601,656,645,941,762,990,682,337,403,976,600,564,431,496,934,290,512,
537,717,646,581,089,799,165,502,572,788,472,865,658,318,291,585,540,509,532,
075,535,317,401,465,082,772,883,826,859,168,326,734,268,913,843,047,865,987,
246,742,038,145,837,015,326,760,879,510,597,110,662,371,365,377,279,063,975,
558,856,753,516,589,518,463,855,833,324,736,899,572,551,749,589,654,012,958,
328,225,761,572,785,740,947,426,186,280,289,203,393,922,271,820,769,393,241,
118,463,636,684,346,266,840,506,892,632,676,732,169,371,337,870,173,184,428,
637,397,561,939,988,939,197,676,950,212,912,609,113,545,086,079,787,848,735,
821,142,332,006,273,880,615,312,423,746,528,733,829,950,812,648,265,076,324,
808,055,895,563,055,515,515,324,011,127,946,407,660,593,140,939,389,240,488,
893,081,342,951,296,425,570,209,577,599,518,109,240,633,074,787,252,957,473,
785,050,088,722,008,159,027,782,682,480,385,319,005,401,148,569,697,467,363,
836,918,903,204,870,920,875,902,574,323,054,423,916,304,356,199,663,546,899,
965,244,607,811,233,874,304,130,354,198,885,830,387,253,596,726,349,920,762,
502,725,645,167,883,493,589,683,810,907,854,956,209,701,032,146,691,037,068,
569,472,515,516,282,499,027,224,389,693,491,458,676,892,942,410,682,198,824,
686,819,724,210,340,998,105,664,961,386,177,477,674,771,450,790,802,929,754,
205,320,830,383,979,319,468,411,408,778,594,125,405,669,642,460,709,568,439,
395,117,447,198,305,981,056,356,476,281,211,536,759,110,145,680,011,673,335,
584,867,624,015,553,686,468,876,161,084,499,612,002,122,977,115,868,817,763,
958,643,986,477,612,716,938,576,219,675,744,414,672,029,222,444,033,634,618,
622,333,311,427,366,559,936,800,250,734,338,686,222,523,323,790,374,349,992,
473,872,013,701,809,699,003,587,296,384,085,716,550,879,916,754,958,276,949,
059,646,413,429,105,894,813,303,541,978,240,894,508,929,284,788,618,982,315,
284,047,589,956,114,462,730,280,417,315,440,569,971,425,944,628,292,779,520,
976,669,355,771,726,888,686,719,220,456,895,369,802,246,368,653,902,866,539,
114,078,342,561,659,934,003,057,590,161,088,378,523,698,086,071,746,162,144,
858,144,931,894,504,405,131,452,933,220,548,833,492,344,089,457,451,494,463,
125,942,234,664,227,491,608,239,711,045,328,713,621,917,335,414,286,586,639,
852,270,577,680,103,542,901,847,422,189,651,751,599,953,584,838,954,254,538,
895,321,791,518,224,492,150,683,438,426,117,243,829,350,836,706,195,732,500,
135,817,648,591,093,157,135,190,595,830,061,908,576,786,132,347,208,481,046,
604,727,311,385,510,056,542,723,642,542,943,173,839,576,200,886,438,379,549,
301,563,695,464,102,633,287,714,391,085,917,054,447,335,485,874,044,034,547,
214,222,008,718,877,190,409,676,582,218,715,555,156,297,273,987,674,416,163,
033,536,149,474,358,748,578,066,659,888,185,191,067,234,677,804,293,452,836,
835,594,493,921,903,872,122,450,217,412,001,289,327,398,825,512,561,533,862,
371,527,429,314,587,284,466,781,977,467,089,571,738,476,468,414,030,331,599,
334,224,017,358,106,999,637,736,675,100,309,860,564,078,361,631,906,709,322,
988,095,142,076,071,091,287,211,632,157,076,571,335,299,297,621,244,295,460,
074,677,025,554,528,021,792,075,991,007,134,725,963,757,877,801,418,280,045,
038,552,941,285,986,845,122,422,443,719,222,174,429,772,006,617,084,410,359,
387,664,950,341,565,672,033,482,502,296,790,665,625,069,002,066,914,989,638,
919,524,802,019,039,930,900,632,328,268,934,291,588,224,656,238,242,457,469,
032,384,841,741,317,804,569,051,696,468,593,852,559,888,569,210,512,838,931,
937,596,795,833,918,266,002,934,913,802,366,932,083,022,733,078,649,165,446,
784,572,511,902,463,641,783,068,584,492,355,019,038,275,710,057,264,619,157,
469,420,156,847,952,610,856,479,452,028,897,844,873,790,081,450,925,204,910,
176,805,253,565,803,915,872,733,094,977,529,203,889,785,477,462,702,859,465,
612,276,875,808,767,924,217,043,597,010,713,719,491,307,080,785,785,550,132,
374,651,932,859,063,682,516,132,376,118,064,518,274,254,772,767,943,837,879,
991,034,038,267,812,290,569,402,683,026,787,824,183,665,397,749,283,297,456,
836,524,386,085,902,403,767,751,438,261,268,450,078,102,638,058,459,306,519,
125,771,524,502,006,152,280,817,006,494,375,712,206,191,184,786,075,252,532,
537,130,190,402,592,176,424,373,143,791,319,282,709,497,476,236,408,983,183,
041,318,161,463,768,181,195,085,985,450,517,915,059,884,287,535,848,241,981,
641,309,671,901,707,451,922,471,729,288,877,585,120,145,796,144,033,974,848,
242,766,753,610,091,019,311,067,773,160,026,560,255,422,327,849,068,897,186,
006,702,533,767,239,923,180,563,332,411,456,454,565,395,866,464,216,163,681,
226,718,202,423,903,420,566,478,207,651,726,585,886,632,391,597,699,720,253,
265,277,738,446,113,281,035,380,309,395,174,958,780,303,512,066,838,960,641,
384,824,530,708,415,793,317,633,529,070,500,774,231,919,064,689,657,241,368,
633,027,104,212,889,413,605,512,955,526,779,298,614,765,017,343,671,779,960,
604,950,760,166,170,784,362,440,492,679,398,377,695,303,401,895,665,556,900,
096,551,131,454,363,458,642,757,413,515,437,624,146,409,161,005,964,211,879,
237,319,022,425,438,957,389,516,897,261,916,935,948,541,974,557,342,424,660,
941,764,071,503,537,652,620,289,667,959,805,823,806,888,509,227,730,862,746,
531,104,882,565,642,460,107,306,604,907,678,593,772,364,191,551,278,758,936,
093,476,677,811,535,467,164,910,846,700,036,680,051,675,172,542,386,678,776,
777,456,959,724,355,584,300,723,868,743,634,401,686,363,369,938,322,758,655,
230,881,094,165,704,500,467,282,732,515,657,415,011,323,875,297,138,852,173,
922,869,527,233,937,368,185,183,726,635,054,755,467,347,872,419,454,639,604,
742,996,131,426,692,338,661,721,801,624,699,238,930,231,950,617,739,307,147,
612,609,412,059,807,475,830,387,277,562,405,519,488,846,632,127,718,351,334,
574,925,379,791,793,832,312,848,903,088,056,534,442,566,062,955,635,935,217,
946,469,788,846,438,224,560,864,038,185,454,647,641,307,790,492,959,326,108,
158,822,046,053,034,841,720,790,112,967,309,895,156,042,569,015,051,593,349,
728,468,641,124,293,127,132,707,124,648,492,251,222,875,077,634,694,511,114,
647,717,705,039,078,941,044,866,802,591,145,850,500,464,995,183,677,012,532,
459,056,746,602,811,082,254,517,175,628,131,772,527,205,988,581,202,410,947,
810,943,237,306,093,161,940,653,139,103,856,642,998,173,369,583,709,113,349,
850,966,770,537,145,436,062,152,849,495,961,600,967,627,213,902,266,548,803,
377,991,102,007,549,451,539,747,883,961,632,151,727,911,472,050,573,587,218,
525,314,603,388,950,696,631,340,952,703,100,838,878,415,551,941,022,975,270,
623,388,531,339,532,483,373,840,389,723,647,783,641,159,063,405,963,723,783,
650,393,751,343,895,405,873,622,663,379,211,285,814,561,328,963,423,783,516,
812,852,502,842,933,293,986,216,791,205,457,092,332,975,310,844,447,229,927,
591,836,248,627,772,402,344,665,413,136,924,813,465,616,876,229,444,759,135,
723,306,759,307,445,034,593,659,764,311,645,348,166,963,925,891,029,503,893,
123,924,306,591,810,682,318,734,718,608,855,495,894,403,873,744,801,960,860,
551,312,248,169,160,292,257,547,530,416,857,816,887,726,162,615,614,573,580,
687,546,197,530,137,532,350,788,888,926,151,050,599,458,543,341,181,655,245,
187,493,408,888,453,630,771,883,354,741,266,646,955,187,451,629,827,284,309,
400,075,113,176,270,718,773,068,001,158,573,435,156,227,465,491,031,789,354,
755,273,535,154,733,544,225,967,193,275,567,341,223,107,521,710,331,506,382,
454,269,727,388,576,554,950,716,469,303,016,573,594,152,126,435,840,535,146,
406,120,876,386,111,456,298,104,426,762,938,684,508,998,542,356,833,076,537,
450,412,585,208,197,010,312,343,615,217,734,564,913,269,153,559,191,765,027,
602,708,606,309,072,306,646,571,270,960,056,559,854,452,558,713,028,511,313,
936,481,285,253,778,838,798,649,059,252,581,494,817,310,328,972,460,537,897,
254,067,848,941,951,679,072,581,295,107,315,008,928,477,136,446,589,359,629,
273,023,167,850,282,854,872,142,054,372,958,470,221,827,774,632,914,245,816,
306,204,415,776,082,245,735,010,715,820,712,936,034,256,708,478,650,089,312,
466,858,080,906,721,253,771,346,026,391,642,781,396,023,450,356,963,179,329,
825,315,709,318,844,714,499,562,389,463,583,219,005,087,156,301,370,574,922,
377,288,104,781,325,250,870,112,421,592,313,881,886,449,472,223,522,888,607,
336,486,019,399,960,870,984,909,690,804,161,852,512,294,971,958,813,667,742,
116,791,188,139,548,184,116,612,423,697,905,048,830,214,531,770,815,666,259,
169,745,026,745,632,135,944,743,457,560,447,796,195,755,878,180,027,127,920,
808,345,765,739,045,713,561,680,555,106,248,171,039,155,098,390,056,393,122,
161,867,095,619,153,110,065,224,809,107,286,335,669,401,784,510,287,572,984,
834,432,203,978,649,725,485,702,346,046,015,229,085,728,799,315,530,830,897,
514,657,322,488,166,720,443,596,782,441,382,447,195,607,183,341,179,000,619,
199,612,770,505,929,417,914,643,984,157,272,451,406,062,052,268,668,918,211,
458,313,374,663,906,259,496,624,081,122,568,602,051,103,783,650,898,859,786,
807,105,087,509,290,019,989,431,869,160,770,126,966,279,588,618,042,257,394,
372,891,980,159,909,606,662,599,267,062,279,469,413,149,064,802,825,091,044,
552,501,387,447,362,245,976,037,976,359,647,728,541,467,370,760,212,826,596,
232,363,367,492,562,902,839,782,669,581,238,748,536,567,214,412,019,367,612,
549,477,739,417,869,032,999,360,314,335,350,196,775,038,759,902,975,542,429,
565,115,764,922,717,586,727,335,755,591,135,445,208,277,885,860,401,810,824,
435,844,514,524,346,691,693,690,520,810,645,418,977,377,239,376,164,208,417,
992,093,472,544,871,695,114,307,706,052,300,783,054,035,470,412,794,255,993,
515,109,852,703,237,049,501,440,984,374,113,551,132,524,399,598,824,221,687,
552,075,308,022,333,625,443,702,277,664,602,943,204,209,862,658,427,442,084,
720,504,337,768,979,455,319,665,500,744,567,720,912,654,710,131,063,911,267,
118,438,639,920,516,006,679,282,622,419,086,433,821,125,812,024,457,205,687,
241,751,110,413,835,011,280,314,227,847,758,933,510,930,218,395,353,098,824,
565,040,297,165,604,251,881,344,372,869,294,173,189,807,804,364,122,637,614,
764,839,022,099,953,580,318,455,651,943,701,575,980,080,562,582,461,236,513,
492,239,097,462,614,573,268,819,137,923,820,827,778,049,065,160,812,221,411,
533,664,709,173,963,901,790,311,109,642,140,286,720,796,050,237,285,919,705,
426,438,104,585,878,934,985,910,628,870,403,233,652,650,192,845,551,665,170,
239,394,154,662,868,425,016,010,424,542,011,034,984,252,899,725,939,436,049,
694,885,984,177,675,414,244,809,191,724,335,263,901,997,690,828,123,508,239,
047,677,801,195,880,885,483,835,105,892,756,181,374,469,338,589,393,827,829,
533,922,956,531,852,195,943,404,437,458,320,076,995,744,959,767,947,786,714,
687,762,839,452,354,891,659,739,366,137,303,987,609,742,107,083,663,170,743,
119,658,829,620,583,090,396,607,934,757,435,207,130,539,589,179,580,314,746,
277,861,608,504,347,420,355,638,631,277,305,811,315,891,727,888,008,831,546,
493,984,861,331,105,362,797,801,906,039,129,071,333,547,412,367,100,103,903,
217,705,889,856,203,106,281,365,394,911,660,355,630,774,317,293,209,032,106,
048,956,026,354,658,700,455,791,731,842,038,333,636,750,323,697,622,108,029,
668,357,806,383,281,920,483,979,294,940,241,334,008,833,031,809,687,388,170,
762,620,415,531,613,057,499,439,629,119,845,822,157,632,418,751,602,970,891,
801,440,040,562,791,370,868,396,244,356,001,834,693,216,875,898,253,296,174,
243,261,021,567,937,533,130,757,271,845,578,475,182,101,704,194,423,330,455,
741,578,516,257,163,478,477,256,072,138,538,860,277,680,010,025,560,757,481,
020,280,899,445,395,050,040,583,198,714,224,637,523,157,366,829,486,739,375,
559,209,760,347,844,705,976,162,979,353,058,610,620,884,536,497,693,604,703,
670,346,735,545,172,953,193,755,566,852,278,044,252,504,582,795,506,721,638,
830,128,881,523,734,829,624,730,053,976,807,628,083,948,998,141,705,811,623,
814,043,340,684,447,000,329,408,786,357,552,991,816,558,683,725,403,149,901,
247,409,997,461,340,613,798,337,892,368,288,642,145,750,539,042,841,881,661,
600,084,833,983,598,158,551,158,195,771,744,405,718,909,852,333,556,952,957,
624,928,170,754,174,526,996,387,068,363,333,325,445,957,047,960,516,114,434,
699,180,426,141,229,513,785,852,923,274,933,918,156,443,040,543,326,471,085,
047,939,773,159,360,500,325,963,210,485,288,021,539,534,122,152,107,595,285,
529,385,095,946,394,646,543,600,796,784,495,233,307,365,387,951,889,548,666,
979,312,456,665,610,438,303,670,141,058,795,673,493,932,044,511,381,656,079,
099,062,955,119,437,163,664,865,919,752,366,520,351,356,004,716,053,510,970,
438,891,012,316,034,714,965,513,885,623,580,476,097,980,735,232,445,300,673,
237,572,080,248,399,585,511,439,378,021,858,572,701,743,490,595,733,205,530,
813,749,946,214,537,082,139,716,373,358,883,898,820,324,657,073,699,601,767,
856,259,451,904,337,041,297,748,071,142,149,419,165,332,100,250,323,357,502,
177,348,248,636,136,342,578,556,407,750,497,396,163,365,150,311,504,531,114,
306,300,987,006,335,111,123,922,010,490,728,547,698,364,745,877,941,055,917,
804,950,905,048,343,925,588,623,157,875,189,389,199,872,843,449,537,125,823,
922,328,251,775,920,807,498,829,523,359,126,531,355,079,615,392,725,976,246,
436,485,206,187,723,582,225,800,758,638,801,520,447,524,516,241,732,953,771,
094,427,375,612,818,519,373,450,383,246,438,867,399,934,931,015,439,171,653,
796,234,481,348,726,543,850,168,157,920,238,263,692,421,515,116,467,830,248,
028,952,871,750,200,249,339,579,153,309,687,679,709,748,567,131,618,483,885,
772,891,007,220,840,110,154,083,777,365,143,962,494,719,244,466,730,593,221,
649,077,687,989,187,750,354,959,741,245,874,368,802,877,219,205,237,955,398,
933,041,625,931,270,833,034,246,136,585,420,278,002,730,651,399,730,155,161,
525,038,159,322,921,599,237,088,476,395,767,630,928,130,091,992,492,852,286,
612,939,116,453,260,226,491,797,429,739,594,560,701,140,993,082,069,579,004,
481,794,823,255,044,350,385,393,352,827,322,255,122,917,914,528,238,887,978,
260,495,744,534,150,810,814,840,985,733,298,480,976,063,983,879,849,115,121,
672,856,461,015,301,569,935,752,926,698,282,060,347,081,580,090,371,418,463,
418,438,630,404,021,797,581,705,288,358,255,719,142,287,149,906,014,405,639,
429,131,421,502,729,946,605,502,048,987,298,643,864,868,157,518,482,161,181,
529,244,045,042,236,002,981,420,182,274,165,686,309,341,433,037,717,872,925,
314,922,337,258,968,912,964,393,878,437,837,291,167,679,268,061,260,776,814,
524,954,422,007,640,917,582,619,788,850,394,859,751,613,407,471,120,507,438,
437,057,181,610,169,138,245,896,562,567,285,320,645,804,129,316,672,400,196,
626,895,518,460,722,017,020,197,739,093,975,687,414,976,740,720,440,157,675,
384,397,116,065,688,837,550,526,557,140,749,770,050,227,251,729,556,932,381,
852,330,478,038,161,313,591,237,080,266,365,577,648,406,741,287,575,304,481,
142,993,963,873,557,414,250,763,398,831,192,968,263,363,228,244,469,092,928,
906,435,965,480,562,515,824,226,298,641,936,849,338,880,892,534,252,051,060,
586,261,376,318,372,600,676,002,024,487,233,012,790,725,791,603,515,537,747,
469,077,787,217,075,803,325,750,066,208,749,015,603,154,629,481,584,132,517,
393,694,437,945,193,679,609,864,164,141,314,012,846,240,962,267,951,518,530,
247,484,040,604,684,347,486,585,745,705,684,050,589,810,251,034,962,914,863,
004,992,677,903,021,241,503,199,349,434,798,168,610,305,334,469,086,612,896,
951,945,447,550,782,993,117,450,219,509,749,641,580,601,316,609,725,854,295,
957,729,070,707,488,686,746,571,278,488,842,387,704,833,056,443,662,722,518,
800,413,162,629,461,022,137,948,426,599,908,870,595,391,900,746,880,254,007,
795,406,902,179,064,075,074,198,542,440,473,245,121,977,234,429,779,200,868,
388,947,774,377,726,058,404,697,374,665,432,156,420,409,745,262,664,209,093,
375,194,079,266,390,332,361,456,675,793,945,337,525,544,157,975,384,058,964,
663,455,901,352,732,970,790,744,292,633,411,188,906,602,114,644,729,473,958,
983,227,596,227,761,523,470,315,346,800,823,893,328,214,644,758,106,418,165,
008,364,823,660,317,200,346,920,482,413,479,098,165,126,325,206,163,047,229,
574,415,357,565,310,753,934,967,565,148,100,492,416,428,863,632,460,477,944,
792,829,270,557,929,867,891,249,975,501,559,923,514,566,615,996,936,338,302,
679,148,627,108,224,275,055,532,335,514,058,533,848,571,031,132,204,141,552,
526,373,489,780,902,527,415,541,234,439,169,622,894,855,259,590,200,442,525,
430,570,746,207,274,186,166,683,835,057,303,927,713,917,393,259,634,970,570,
866,394,185,563,735,099,238,866,644,778,345,257,425,879,455,124,649,952,256,
484,895,285,040,196,547,892,268,997,514,752,563,016,606,054,241,622,933,735,
843,488,025,556,042,777,901,331,284,319,380,556,806,534,581,350,115,961,684,
973,093,878,300,982,805,117,924,807,783,429,769,639,996,503,539,914,849,584,
893,950,654,726,601,383,069,067,136,307,944,767,797,568,442,849,798,640,840,
656,758,696,445,680,184,868,486,238,254,524,573,206,806,731,873,674,690,840,
831,457,470,631,633,026,079,442,636,891,862,358,851,013,844,871,884,695,174,
623,744,647,994,463,970,457,222,968,165,306,708,240,839,908,517,583,166,024,
283,541,783,975,354,649,420,273,171,613,451,476,586,621,957,682,479,269,451,
438,025,361,206,775,980,243,360,367,769,873,631,115,225,989,609,438,695,198,
927,181,768,919,133,793,875,944,427,923,071,541,243,376,199,591,785,899,566,
325,108,817,183,402,338,414,557,238,273,340,601,406,961,650,771,505,012,164,
741,522,353,301,701,497,754,015,714,736,664,130,732,976,163,741,231,580,210,
632,392,885,667,000,096,879,236,705,771,207,365,098,062,098,891,965,497,980,
865,578,583,262,626,302,489,857,285,194,621,443,507,256,143,768,521,618,966,
953,203,966,729,189,701,443,502,597,020,004,511,070,161,923,962,120,920,117,
945,742,273,068,803,357,525,829,382,769,944,313,689,670,162,313,362,112,045,
893,762,878,325,500,294,894,394,092,470,053,060,421,520,313,516,422,211,859,
717,733,608,745,740,975,642,239,032,817,740,123,461,161,066,635,445,823,818,
167,117,358,670,875,312,155,946,460,556,848,447,317,065,816,171,384,612,347,
954,579,033,886,051,348,646,675,428,358,559,902,109,593,126,868,804,911,706,
551,036,018,810,861,892,989,682,124,772,403,277,620,133,431,908,916,702,981,
817,879,250,147,472,592,300,681,183,801,054,910,283,481,371,756,218,629,217,
109,338,734,004,957,671,738,530,925,061,511,480,630,875,992,631,593,055,597,
487,781,346,195,520,002,345,399,988,184,225,715,495,760,164,704,013,747,902,
503,189,955,580,954,977,968,573,366,462,184,438,048,525,645,171,989,563,717,
573,848,622,075,632,080,869,224,282,443,223,409,287,736,405,201,376,901,812,
287,901,265,926,777,379,120,657,950,338,890,531,851,187,655,250,450,032,712,
949,744,328,330,760,033,547,568,162,742,779,387,758,849,147,720,549,794,001,
329,619,693,564,748,833,457,146,751,587,400,575,174,225,676,397,592,296,235,
436,950,430,475,225,447,887,738,812,624,781,665,285,054,367,158,651,824,728,
345,155,270,207,702,308,042,586,793,269,527,569,538,773,517,489,513,895,588,
651,667,877,669,346,056,465,825,236,210,187,856,395,126,505,374,629,483,897,
251,355,518,506,714,539,237,849,873,930,112,000,707,615,870,150,013,563,774,
874,105,127,302,066,843,938,567,507,751,736,162,252,532,057,167,144,899,171,
964,899,270,018,489,507,834,974,051,786,163,130,340,824,480,906,707,193,936,
731,308,732,817,879,849,393,529,768,171,042,587,290,164,514,809,815,608,709,
380,769,336,681,314,253,150,927,948,114,584,266,962,905,813,607,468,157,686,
636,886,571,087,721,862,323,972,902,454,578,355,122,887,661,301,828,891,194,
104,415,323,628,303,987,246,160,973,287,097,794,782,241,761,378,336,967,424,
614,503,820,949,832,988,935,645,293,830,501,305,145,537,084,771,101,907,161,
864,688,046,307,404,522,920,226,767,446,030,507,562,718,750,521,615,475,612,
586,647,759,637,247,636,376,006,534,291,150,209,990,272,939,809,499,167,979,
778,114,438,864,647,502,780,017,919,545,915,016,485,724,734,642,817,536,978,
837,023,502,803,982,327,911,899,211,663,930,926,936,123,166,083,942,146,038,
891,129,477,726,841,029,624,311,649,607,000,260,191,856,382,600,716,469,609,
963,086,642,421,419,671,974,011,830,421,122,349,056,500,495,542,119,529,027,
207,753,268,284,788,089,168,190,716,096,581,112,274,156,339,764,206,319,092,
630,502,443,982,044,441,913,924,056,897,181,371,109,922,191,836,070,389,203,
963,977,254,701,286,652,748,081,903,236,876,723,029,752,243,258,138,848,541,
528,101,367,476,310,053,879,441,992,124,751,233,821,501,699,427,411,634,638,
019,950,307,411,802,573,366,013,744,089,399,132,282,190,060,251,040,838,093,
738,041,568,459,985,469,962,044,853,280,701,627,278,086,819,635,140,519,188,
763,086,167,631,655,998,752,542,352,772,194,303,183,427,363,033,646,746,290,
083,837,345,506,619,238,002,203,078,143,365,469,715,190,378,094,382,199,790,
345,916,557,372,062,208,915,786,122,538,762,090,683,581,134,341,057,843,980,
163,452,285,268,445,628,880,517,735,176,763,161,527,361,119,931,901,022,340,
515,245,014,653,143,215,182,400,282,829,890,459,359,762,733,696,613,010,991,
512,705,863,935,191,967,446,880,876,143,956,070,322,057,894,487,079,020,235,
311,810,684,012,766,438,859,063,961,179,450,761,030,561,114,321,092,064,892,
715,702,544,317,504,063,806,433,410,452,583,387,930,777,598,818,017,113,868,
416,480,384,391,562,197,661,305,472,529,190,402,595,066,660,092,961,947,879,
966,391,199,542,631,635,958,854,506,572,989,074,310,625,636,716,051,302,971,
754,554,147,354,044,539,623,130,364,194,943,781,443,934,716,484,371,182,860,
832,883,400,193,247,373,953,807,224,869,428,159,536,786,259,041,971,063,899,
193,659,450,080,195,093,324,227,042,289,996,227,970,069,620,244,588,563,285,
911,004,822,086,040,980,903,087,477,285,502,651,684,575,826,648,536,080,993,
601,610,697,714,320,619,457,340,650,179,871,452,042,923,987,350,010,134,018,
401,642,442,839,882,917,307,742,564,640,660,074,260,144,250,914,784,215,725,
359,232,161,482,274,372,614,730,047,045,775,674,328,763,781,317,010,751,276,
465,563,267,516,304,147,093,616,861,017,979,252,414,696,063,247,230,329,464,
222,448,667,612,193,079,336,217,588,736,828,607,365,045,208,400,977,540,064,
236,148,933,937,543,973,870,430,990,482,450,424,491,806,235,548,444,355,835,
052,776,239,047,552,506,983,291,936,408,948,667,858,396,281,618,773,711,347,
427,165,992,399,334,932,308,223,529,324,440,848,480,883,450,117,429,270,599,
083,852,579,906,698,798,447,945,632,003,884,663,692,834,564,021,153,868,570,
175,806,220,508,394,417,546,458,132,420,725,022,264,260,059,115,791,140,014,
337,683,138,801,837,709,396,994,611,743,519,391,879,702,177,001,134,919,451,
791,684,971,416,649,818,778,147,020,293,349,101,759,844,239,990,901,523,315,
129,692,815,321,219,682,259,792,849,853,534,125,312,785,458,352,601,726,466,
034,097,170,292,747,467,527,410,166,859,371,429,765,731,985,604,951,171,124,
162,280,894,830,861,215,977,101,203,420,140,196,531,060,174,669,125,887,603,
397,604,043,312,554,824,140,448,850,795,298,606,053,822,360,872,374,487,400,
190,778,993,613,082,313,473,276,066,696,555,932,685,755,397,180,190,142,183,
906,389,704,583,105,837,439,285,755,659,259,134,731,402,225,274,161,554,745,
340,504,582,555,725,714,416,979,365,949,518,541,580,536,645,853,466,958,570,
701,942,640,888,751,149,246,117,679,671,659,947,475,873,702,711,249,866,242,
959,446,871,541,928,223,471,448,670,968,366,768,621,042,703,353,861,046,418,
607,851,551,561,281,593,191,451,473,535,641,328,686,961,844,927,333,480,905,
642,224,540,188,968,970,163,502,067,526,547,027,859,742,626,806,912,961,355,
447,771,729,038,636,792,894,146,586,158,699,168,934,549,131,578,183,389,425,
108,729,630,594,218,078,978,798,613,903,382,126,889,875,448,953,001,691,864,
507,912,725,342,185,621,075,151,248,437,160,101,008,556,133,980,106,738,111,
166,452,580,562,086,457,898,291,101,907,722,149,832,278,980,983,352,030,034,
393,358,046,609,387,858,523,155,836,926,398,391,670,928,551,295,175,240,027,
926,792,124,837,602,516,790,865,656,072,248,199,094,790,813,542,801,227,481,
410,080,903,017,872,355,531,537,340,461,555,311,200,211,803,555,816,184,619,
174,747,535,074,366,885,858,629,121,476,456,219,992,917,313,497,067,169,463,
257,084,889,773,952,762,432,597,611,818,778,119,907,815,609,129,876,696,643,
884,060,044,773,571,254,331,485,625,090,764,407,703,132,747,684,472,376,843,
952,919,249,449,234,252,643,410,746,691,153,368,851,655,484,061,613,293,809,
628,144,002,449,252,223,254,567,494,810,645,118,222,707,536,082,381,935,738,
666,506,906,169,395,300,859,212,520,571,257,672,539,303,879,695,295,161,554,
207,085,436,890,249,301,103,902,449,688,110,531,318,318,857,590,732,686,457,
067,541,575,195,367,755,383,949,237,930,449,521,325,196,210,663,987,118,021,
706,286,579,360,622,294,388,441,415,723,580,042,276,284,021,438,875,099,562,
775,818,504,355,778,232,473,769,490,334,431,092,472,699,232,716,713,237,651,
854,107,337,522,754,536,201,589,015,006,282,693,260,861,314,752,450,044,230,
096,867,111,620,654,616,871,972,991,521,075,095,741,306,217,661,869,194,143,
187,436,027,264,536,692,178,703,517,563,901,974,842,014,274,062,185,839,994,
759,531,461,920,342,136,235,168,291,068,072,215,126,007,120,494,586,723,182,
357,662,338,721,685,702,175,971,919,563,746,531,121,915,321,982,200,899,693,
227,025,029,960,847,856,988,249,938,524,359,445,040,488,085,799,946,244,152,
544,757,075,061,470,885,737,005,546,788,692,925,053,667,130,930,020,913,715,
840,147,388,272,518,636,369,099,914,414,773,388,601,152,239,438,685,371,625,
898,045,489,740,239,103,442,038,700,153,016,025,082,789,129,667,527,446,942,
071,964,513,194,362,086,542,859,877,925,520,144,584,439,854,852,963,563,110,
420,104,109,798,679,689,678,212,156,333,506,415,535,115,190,579,954,339,368,
179,718,803,282,454,443,047,710,204,674,183,460,175,418,267,392,816,771,333,
622,682,428,280,353,432,048,250,036,972,250,756,496,864,403,812,427,252,936,
521,861,640,328,052,568,501,490,044,298,903,372,591,348,512,317,325,620,462,
303,127,533,146,395,794,727,449,375,107,420,227,252,400,118,628,491,523,036,
141,166,857,098,575,144,843,445,050,593,544,805,782,861,634,719,385,816,625,
023,699,853,438,962,843,577,912,826,212,764,047,626,148,444,298,759,770,479,
398,674,698,171,235,476,717,355,065,896,866,622,230,072,145,654,459,580,486,
803,630,723,178,094,297,801,315,340,466,756,218,938,935,060,821,535,284,508,
258,761,071,419,659,856,304,200,786,765,191,153,391,413,473,814,544,281,777,
658,622,566,524,127,970,104,312,954,811,869,873,747,644,742,227,142,411,736,
739,169,741,795,997,851,060,105,189,726,773,069,964,448,797,023,867,930,059,
609,807,955,304,780,656,534,564,774,077,268,786,223,701,476,936,068,351,912,
464,977,674,270,241,127,878,049,257,818,515,297,342,458,896,359,158,776,437,
904,540,387,160,254,901,746,892,313,581,864,561,317,224,517,636,120,075,167,
723,186,609,841,495,561,324,631,288,191,276,965,212,386,858,062,677,043,257,
456,042,611,624,421,190,404,847,815,817,811,989,291,329,577,131,264,731,063,
485,788,923,483,216,816,319,089,306,233,505,096,112,554,078,671,155,444,938,
084,354,832,152,833,214,667,743,350,944,223,338,119,922,389,614,448,022,237,
649,794,304,417,739,239,646,786,552,844,113,284,574,975,268,814,679,166,066,
323,898,408,227,457,548,756,944,695,247,642,755,046,666,452,742,146,775,546,
864,789,719,114,803,944,195,009,700,712,826,526,983,537,486,736,009,588,477,
040,665,548,464,761,031,992,859,478,804,988,765,954,515,015,649,623,016,504,
192,526,200,309,209,331,262,524,957,363,832,825,176,970,171,525,458,977,662,
048,757,171,199,985,355,870,623,589,444,487,789,496,731,486,474,896,192,852,
653,222,650,873,372,376,714,146,349,090,901,055,110,219,131,337,726,031,695,
046,213,776,289,284,857,667,056,855,964,189,012,265,605,906,235,400,570,306,
512,872,202,821,351,963,849,095,400,277,236,990,709,828,501,430,089,774,872,
972,174,287,650,107,341,053,583,754,441,176,477,357,131,435,904,629,502,896,
834,087,351,044,201,892,071,273,170,356,757,777,254,015,134,162,599,592,717,
146,771,807,831,788,114,720,032,264,752,961,317,270,661,991,782,908,456,788,
400,918,437,981,448,808,936,643,240,282,718,025,573,205,704,247,503,110,664,
512,807,355,498,239,338,772,825,473,494,536,717,410,927,442,182,162,787,774,
232,599,428,494,285,223,163,907,648,973,193,177,580,675,385,548,216,681,108,
909,498,712,036,847,800,084,642,783,748,062,130,690,393,448,543,949,899,250,
310,111,277,903,483,344,859,409,719,646,231,359,740,141,980,285,558,502,356,
008,836,751,126,628,391,776,823,089,051,820,598,130,357,946,981,583,201,715,
704,356,111,264,869,280,641,208,436,657,548,447,142,801,014,120,673,248,467,
485,508,057,475,709,250,303,077,767,065,889,514,805,567,842,486,101,359,294,
786,062,488,957,586,771,597,971,711,997,187,136,091,846,596,805,466,218,767,
394,159,026,826,017,508,673,143,001,419,483,964,010,865,251,569,980,110,594,
501,314,870,519,862,467,508,685,328,850,541,561,834,477,931,789,862,873,155,
216,123,971,315,422,995,133,112,765,311,622,557,822,600,687,447,398,207,562,
619,733,157,732,651,767,974,960,738,743,615,529,894,020,586,419,351,727,469,
517,636,385,922,143,360,428,826,839,673,386,532,028,966,973,676,973,557,253,
181,914,053,842,502,567,089,462,078,867,499,812,306,488,407,065,829,819,561,
524,663,230,331,337,670,488,118,977,024,137,378,366,522,070,496,747,901,371,
531,080,922,961,449,281,188,174,450,216,005,517,672,046,774,452,674,530,308,
386,196,546,240,533,999,615,765,982,817,720,598,296,588,271,878,214,783,694,
365,313,330,023,034,230,656,080,378,820,775,204,637,642,490,540,117,967,369,
300,431,313,131,086,041,624,372,466,922,403,675,130,242,314,903,056,400,427,
394,788,270,360,014,392,593,819,787,750,458,056,756,577,460,555,762,624,382,
755,483,713,116,932,239,894,136,949,076,053,403,559,587,492,335,040,447,937,
071,397,770,235,924,838,815,863,317,476,203,409,881,091,497,810,229,845,794,
183,327,582,242,518,700,029,998,482,056,700,340,163,385,346,570,423,258,277,
889,166,748,446,140,257,942,506,329,686,455,292,104,061,332,075,017,568,400,
132,139,087,352,647,705,870,494,148,949,696,301,985,115,109,947,051,503,875,
886,241,826,622,669,093,123,238,990,228,686,125,440,887,088,548,625,625,565,
922,828,031,938,595,152,852,546,684,075,581,260,302,160,931,615,885,418,132,
552,144,378,897,512,121,606,894,727,261,827,322,339,566,547,862,468,138,852,
137,895,764,040,911,445,175,771,544,783,488,513,434,259,517,689,815,458,367,
828,575,346,087,098,149,341,486,917,476,442,997,369,366,212,369,800,191,736,
268,351,188,383,096,050,434,435,111,101,054,007,758,153,074,337,069,599,547,
005,138,825,732,448,372,611,340,151,999,984,602,452,446,622,614,808,322,067,
910,180,195,013,103,830,175,196,626,528,530,757,450,256,479,369,142,830,977,
211,446,677,951,016,408,846,803,822,033,657,010,770,450,026,885,016,757,869,
807,002,868,250,964,307,314,943,004,569,831,071,684,637,547,587,846,549,801,
412,542,961,358,782,840,661,769,250,509,680,063,776,494,520,650,489,961,867,
845,556,751,266,920,881,413,282,098,225,885,172,820,648,771,139,547,875,708,
441,240,704,902,894,757,416,847,757,814,943,197,679,137,742,681,240,211,173,
574,437,704,846,432,031,961,392,243,434,010,393,478,276,147,637,779,791,927,
013,748,010,726,399,734,651,941,662,799,582,988,226,254,342,377,595,454,896,
053,035,580,065,331,774,273,409,038,672,803,576,738,525,160,355,469,759,448,
330,828,207,724,356,994,643,237,464,673,389,841,383,247,720,632,402,982,820,
288,445,991,114,803,461,995,184,916,078,587,534,641,649,100,553,799,252,851,
960,426,885,134,640,625,721,435,177,941,997,805,996,143,638,557,583,918,653,
092,622,799,421,931,057,322,219,670,977,640,373,004,516,758,955,160,840,049,
207,681,947,776,141,673,275,366,439,453,537,768,391,929,511,192,279,981,152,
002,560,912,179,987,117,897,288,351,577,396,470,164,664,796,811,843,856,263,
748,955,050,823,406,117,455,611,909,129,510,679,172,971,401,988,219,238,906,
627,608,547,344,470,824,082,202,144,890,320,517,225,794,449,953,878,279,989,
742,994,876,492,778,484,439,653,284,974,317,786,794,127,730,529,840,015,202,
184,286,370,506,652,366,177,321,255,534,317,589,687,380,265,866,547,986,655,
324,221,539,997,946,234,438,930,098,456,692,509,223,240,826,049,917,841,899,
536,020,898,664,486,586,797,856,590,862,571,377,347,559,840,997,890,723,938,
241,172,889,241,964,263,079,629,102,102,849,516,957,465,933,912,473,109,042,
468,498,483,439,408,744,654,949,229,367,070,812,695,029,127,407,528,811,954,
372,683,748,410,688,410,632,393,934,589,492,646,829,606,866,286,927,741,284,
577,979,484,048,425,694,777,217,068,812,749,430,310,469,218,751,570,735,827,
788,651,347,112,745,291,922,815,657,405,355,197,811,140,679,830,357,308,544,
523,444,615,905,058,694,155,521,461,129,545,043,700,119,065,486,941,364,293,
445,295,083,504,968,179,216,835,166,196,435,538,693,936,632,873,566,170,535,
043,765,936,126,681,404,676,668,979,783,751,711,377,726,521,697,393,529,689,
218,002,804,733,445,491,664,626,689,770,909,954,790,582,689,239,714,268,426,
840,762,008,180,605,861,472,775,420,921,355,148,523,853,037,858,599,253,816,
240,396,442,915,838,940,264,951,885,364,130,913,604,226,305,889,225,017,261,
889,732,353,540,548,269,260,171,614,845,485,369,180,703,845,953,141,630,062,
167,951,584,715,246,154,013,342,085,626,706,758,635,651,832,548,234,779,311,
033,588,387,548,385,962,964,925,025,001,850,281,256,456,681,340,787,188,678,
849,184,265,994,400,182,290,930,777,202,480,359,150,381,843,526,291,715,951,
873,477,841,593,292,941,916,051,953,245,082,750,837,507,501,723,464,637,808,
075,338,025,785,095,546,593,417,451,720,863,033,256,997,379,112,320,569,156,
274,375,193,176,817,372,031,159,107,210,806,902,084,042,998,302,244,497,436,
545,254,139,296,708,822,062,657,577,269,442,923,505,602,495,748,762,629,466,
768,256,213,512,778,261,102,660,862,138,568,776,817,568,509,841,001,733,530,
609,690,208,467,847,387,873,350,150,900,822,940,197,215,330,986,916,237,678,
662,635,785,983,563,461,590,119,306,598,998,903,415,582,430,942,195,878,078,
075,225,681,231,345,226,634,018,286,538,599,492,933,206,037,471,239,895,293,
739,979,298,371,472,704,185,706,626,495,703,039,329,019,936,874,589,936,795,
458,446,651,547,358,853,330,267,474,057,773,783,143,072,932,548,876,021,887,
714,829,888,992,211,939,710,799,290,188,626,613,126,944,718,012,806,666,872,
393,554,764,110,237,922,578,679,650,858,099,586,112,945,627,248,977,667,842,
089,020,528,107,725,806,015,656,009,897,049,590,361,246,863,270,565,397,197,
994,312,763,040,729,652,838,016,021,710,032,924,082,669,652,373,086,579,965,
385,400,330,830,116,287,897,155,553,088,814,477,535,180,587,786,405,072,223,
069,947,890,058,937,489,982,541,833,378,252,978,876,930,212,250,041,619,896,
000,048,843,889,384,122,494,306,859,869,067,789,305,241,582,515,969,681,347,
995,803,439,522,757,324,301,594,427,186,674,379,356,372,062,750,648,441,695,
063,388,945,941,301,446,047,414,090,593,180,004,656,475,699,543,943,855,573,
664,928,569,255,021,780,402,072,328,251,826,349,777,976,658,277,620,801,388,
870,923,817,951,252,291,924,688,970,504,318,760,914,221,875,910,340,200,796,
919,087,118,568,629,039,862,829,088,867,317,870,418,851,816,282,313,986,088,
019,264,673,298,409,576,865,428,939,281,856,348,702,602,374,159,022,175,623,
889,482,298,216,238,373,868,067,634,786,969,948,128,754,106,744,749,014,697,
729,445,241,081,769,661,447,742,200,142,669,893,981,664,046,236,718,293,211,
528,145,206,172,310,316,064,722,404,161,636,734,459,378,740,007,770,178,816,
263,680,963,691,662,884,723,350,899,478,795,434,445,425,849,024,252,232,651,
617,318,470,331,126,251,956,131,384,217,320,650,537,983,716,132,888,977,196,
506,707,268,920,623,599,951,639,260,570,042,685,676,988,310,388,137,478,699,
667,942,108,686,810,334,781,107,670,719,611,136,480,284,663,815,053,879,950,
008,493,915,388,767,711,333,549,280,048,018,946,551,441,170,509,654,082,011,
402,108,181,129,329,823,886,690,353,760,381,743,754,963,161,183,936,527,088,
656,552,372,535,943,146,342,076,243,094,915,677,435,297,773,022,636,678,743,
925,310,543,545,247,385,480,527,136,991,088,882,696,517,408,602,634,527,815,
562,595,136,312,760,445,863,240,700,763,980,690,482,901,146,034,828,999,540,
588,180,879,760,421,276,690,298,519,156,616,237,637,600,403,528,749,198,636,
914,884,914,934,726,124,421,054,733,699,499,640,309,211,251,060,111,152,422,
414,388,824,040,712,345,292,293,132,193,317,054,484,257,252,155,616,448,599,
496,939,620,154,905,711,153,562,675,252,260,595,207,998,516,791,643,478,194,
483,907,421,494,434,150,193,407,860,124,580,702,529,745,286,282,412,283,208,
438,520,615,790,237,147,540,519,035,885,272,972,464,699,641,436,012,033,472,
861,317,361,070,466,661,219,391,933,404,451,868,652,243,549,404,072,927,709,
810,895,032,225,215,523,612,785,285,283,819,282,559,676,957,755,725,965,533,
490,550,355,598,948,760,652,962,959,903,857,112,562,750,909,081,616,330,206,
258,634,081,224,229,205,987,950,704,608,793,220,138,387,142,642,301,327,444,
780,716,937,028,701,467,822,834,320,220,622,034,234,220,802,948,677,936,739,
225,468,478,746,590,277,839,137,918,628,484,570,670,285,623,610,267,735,524,
945,702,009,567,273,535,963,931,798,398,611,437,987,757,813,883,904,819,215,
998,290,175,794,834,316,434,290,174,030,589,626,316,861,578,229,761,482,479,
032,233,964,286,234,229,249,889,612,033,171,434,121,934,468,993,576,445,760,
196,761,118,696,360,835,766,761,248,023,553,652,470,952,166,032,635,389,838,
672,967,254,352,785,810,127,287,677,185,396,267,388,669,439,673,837,722,741,
366,310,694,483,762,001,533,508,400,031,760,061,863,043,314,861,779,578,118,
555,964,022,413,931,312,940,473,531,648,721,231,569,164,005,960,786,225,869,
126,948,241,857,245,707,826,590,420,599,213,836,144,605,911,932,505,670,162,
397,326,233,816,422,001,273,755,165,005,957,540,400,270,467,234,218,512,832,
518,774,648,098,485,514,207,644,764,767,719,928,222,782,271,090,877,846,197,
494,079,144,411,960,121,239,030,139,187,991,100,684,999,900,553,801,229,519,
631,890,120,653,366,532,310,509,800,955,306,032,750,675,388,937,307,846,062,
807,442,966,960,442,964,259,916,482,391,722,320,126,423,436,993,278,167,723,
765,902,895,670,887,706,942,317,412,484,189,515,515,383,714,565,611,476,944,
317,597,006,329,254,424,720,705,815,985,854,382,287,844,333,708,052,328,864,
097,534,946,297,879,456,070,188,146,165,910,748,991,173,522,138,101,648,978,
899,986,899,721,286,211,420,530,970,786,725,350,111,531,762,730,911,379,274,
674,913,934,520,183,002,704,732,920,475,250,585,385,596,898,963,421,389,981,
428,513,518,760,047,083,578,498,891,924,378,710,268,508,632,576,830,582,677,
127,641,968,569,065,783,273,949,825,645,785,176,809,113,716,504,766,325,537,
590,340,323,574,174,479,059,487,418,880,932,815,802,245,420,234,944,751,022,
946,377,862,196,193,187,404,322,811,932,574,771,540,411,450,449,214,391,252,
075,577,533,993,416,784,709,967,338,395,565,879,716,171,161,378,382,848,964,
818,214,066,386,131,396,055,296,448,707,753,082,035,469,859,358,063,522,252,
451,470,880,783,712,712,460,324,995,019,137,609,715,452,769,509,226,033,898,
569,644,170,821,615,901,049,699,726,437,560,599,568,577,063,715,751,980,080,
746,587,750,813,621,441,519,469,842,367,896,329,315,536,903,743,789,867,809,
806,264,585,295,677,993,596,467,299,788,367,543,641,019,196,684,015,549,194,
351,944,419,158,416,094,859,588,816,447,417,321,651,298,705,136,941,390,048,
077,606,691,319,490,430,054,771,275,646,446,708,875,416,284,394,069,351,644,
459,582,344,605,145,127,622,443,517,187,161,865,687,876,750,080,950,664,246,
340,067,854,290,590,089,466,595,932,674,707,262,478,530,850,417,263,049,143,
344,546,773,819,377,364,158,103,981,692,695,768,014,175,298,692,126,417,897,
807,950,391,617,763,596,330,082,799,493,828,384,984,323,954,647,896,307,314,
261,308,763,874,833,311,129,506,240,287,892,978,995,007,895,420,772,006,161,
356,603,709,704,677,781,829,412,741,935,871,100,634,594,128,772,213,302,317,
749,112,338,944,303,495,553,727,351,426,265,396,938,083,253,488,140,023,780,
913,797,139,410,687,927,902,368,317,295,982,333,466,143,084,770,170,736,466,
138,169,097,681,634,028,159,621,506,211,293,465,279,989,497,640,501,269,296,
393,510,869,724,751,632,595,726,998,641,285,725,615,950,732,364,712,200,935,
581,871,096,100,830,340,087,467,756,767,505,052,510,329,749,529,147,686,397,
542,654,674,579,976,094,674,911,894,551,517,227,121,249,875,544,369,671,431,
672,209,288,540,452,165,729,238,341,824,093,275,423,299,778,640,648,603,178,
049,715,885,751,500,476,765,524,869,644,162,200,202,976,450,018,695,249,578,
106,866,741,611,360,809,366,386,085,176,087,331,804,105,098,888,261,849,128,
866,038,922,744,253,096,646,805,545,825,105,638,609,363,230,736,202,485,864,
198,745,064,677,229,128,051,869,544,510,437,189,990,272,599,824,685,829,142,
386,424,969,420,290,369,488,724,074,201,739,314,758,823,042,934,832,339,996,
909,123,628,278,976,725,361,670,295,483,670,915,573,518,428,942,563,475,792,
836,298,258,606,500,808,150,974,638,296,883,325,806,642,144,379,598,968,466,
256,779,780,455,888,012,525,102,043,642,273,989,003,291,822,380,226,402,516,
857,066,979,737,627,961,357,264,030,984,316,648,031,721,673,064,402,560,135,
034,713,284,526,293,360,792,280,340,027,818,941,966,841,975,372,083,049,143,
464,658,338,117,302,084,916,651,565,766,617,360,309,815,332,144,469,289,172,
338,942,420,040,117,152,802,838,621,144,114,063,861,176,620,966,949,577,561,
757,201,175,350,848,904,559,043,898,888,242,519,486,433,014,801,189,121,362,
432,569,612,345,200,866,993,711,594,565,481,083,298,469,178,863,133,591,304,
608,681,670,801,395,542,277,748,342,578,557,315,279,705,690,878,351,209,269,
813,530,245,816,703,583,620,296,222,145,078,275,902,904,803,388,471,877,258,
743,436,989,495,545,536,083,871,909,503,863,336,352,927,453,798,016,884,668,
921,944,749,676,613,979,542,781,469,745,487,497,869,933,344,619,861,650,765,
158,245,699,503,281,393,126,027,954,957,742,610,702,241,535,652,333,759,228,
511,019,160,113,670,662,224,397,022,123,877,942,020,578,364,606,871,896,304,
124,788,871,846,683,742,125,285,369,254,383,002,440,050,488,217,250,981,716,
464,247,299,891,571,417,925,696,373,956,680,349,290,004,909,587,087,997,811,
705,203,002,784,794,485,699,748,054,368,756,457,151,577,406,748,081,597,601,
666,958,201,566,320,421,059,372,124,100,112,115,676,073,993,354,967,696,887,
606,154,258,706,753,135,904,384,379,530,260,879,525,834,525,558,258,115,131,
924,869,171,530,215,683,892,929,124,590,988,560,777,934,752,396,660,743,139,
338,115,929,461,952,815,840,110,039,092,189,773,227,167,728,699,852,017,776,
455,761,692,652,139,214,046,752,157,953,877,825,011,958,240,881,781,127,929,
789,780,055,179,917,699,939,472,134,476,082,970,351,810,234,936,591,056,455,
257,811,147,066,573,738,182,838,358,492,495,989,029,308,435,269,180,280,015,
785,875,566,379,846,763,389,049,094,130,203,501,397,945,951,240,211,204,312,
577,018,551,735,485,493,899,649,098,769,209,398,713,778,379,526,013,644,025,
071,136,082,152,408,016,391,859,511,926,979,521,675,215,850,099,579,831,330,
043,324,941,088,383,229,440,326,175,253,656,084,765,864,044,411,644,403,115,
636,695,102,719,395,134,213,103,074,981,524,914,324,316,892,433,872,704,131,
813,805,330,012,809,838,668,517,498,632,059,790,656,429,560,353,178,073,547,
087,004,072,359,356,503,126,245,823,311,796,099,593,957,604,478,423,762,699,
946,505,893,628,902,706,081,750,122,184,738,329,955,497,051,332,059,016,887,
968,731,944,363,980,144,423,481,942,870,147,270,319,783,825,416,531,683,272,
744,127,916,992,608,732,886,413,397,418,305,942,613,474,337,462,109,557,009,
798,010,702,949,061,419,455,302,369,812,270,957,865,998,397,477,426,218,614,
741,102,091,531,146,324,101,718,453,363,249,126,543,604,921,941,864,465,636,
394,125,132,721,497,928,092,674,364,447,341,514,336,521,347,035,037,101,400,
034,223,613,817,882,321,861,024,770,528,955,623,549,304,866,099,667,796,063,
079,107,139,803,122,169,543,366,421,176,224,358,151,573,949,175,263,337,792,
582,011,298,856,573,132,247,956,670,904,834,046,739,357,931,781,147,164,397,
005,072,543,136,653,164,323,593,941,057,129,774,868,257,917,603,414,224,735,
623,840,583,667,562,802,454,428,414,455,970,449,766,669,575,309,147,535,053,
547,703,249,902,406,917,608,666,988,431,825,259,046,884,761,420,929,582,847,
861,556,752,826,226,528,813,216,553,243,379,868,574,917,182,635,706,527,472,
255,972,746,109,597,752,264,665,858,588,007,791,321,029,639,515,441,558,122,
710,506,590,053,718,346,974,243,278,140,135,140,983,477,946,098,405,764,506,
561,980,899,714,296,726,453,505,631,253,556,070,049,402,949,206,405,809,124,
511,102,779,104,759,701,542,425,668,538,758,240,137,721,361,405,423,169,162,
116,829,218,329,376,379,112,462,436,706,532,455,171,603,993,784,908,671,394,
622,833,111,080,576,022,326,921,478,626,489,708,026,807,334,237,518,655,152,
085,681,445,776,330,595,672,572,739,055,153,729,421,442,682,821,667,975,336,
393,302,828,858,395,604,444,278,466,652,565,918,987,413,404,882,734,252,649,
565,405,032,138,648,380,068,732,383,125,462,335,384,954,933,851,167,467,010,
183,540,303,597,677,532,945,361,284,355,356,084,073,024,216,619,649,132,366,
828,785,733,587,241,302,363,666,212,692,687,290,307,358,149,722,131,053,895,
610,687,357,986,883,450,738,512,920,833,391,021,657,088,130,043,452,118,413,
063,443,671,457,318,230,989,707,174,376,307,563,870,269,655,481,052,609,370,
362,676,424,326,203,146,524,638,999,346,498,993,801,990,769,826,361,215,499,
080,794,367,550,447,898,823,053,323,515,390,824,850,402,856,948,738,227,220,
548,619,071,020,940,068,421,548,847,629,650,197,568,447,004,126,654,867,189,
172,356,627,032,621,377,466,352,212,501,245,877,396,070,758,766,551,943,578,
118,584,884,838,703,671,448,507,804,078,767,562,890,151,652,283,445,323,038,
910,241,710,138,724,934,726,629,888,950,089,122,604,964,918,350,825,386,895,
767,706,049,646,558,038,902,723,901,970,222,418,513,447,458,025,464,371,036,
508,802,386,612,203,393,422,193,475,099,111,297,265,471,164,614,484,977,890,
162,418,285,513,673,437,496,541,016,287,001,669,876,225,556,622,399,480,712,
848,493,169,474,863,414,819,384,944,404,409,912,856,085,352,492,653,870,806,
530,446,710,782,155,348,185,256,902,360,158,136,463,948,316,528,175,321,130,
554,188,289,098,165,334,993,218,810,655,897,993,884,954,488,065,615,991,807,
776,681,496,509,673,867,989,995,378,945,670,994,673,803,997,473,445,940,161,
747,834,987,392,343,983,183,033,259,467,586,319,150,459,874,348,979,692,097,
479,778,438,077,686,606,511,621,916,978,713,986,153,569,859,639,799,173,138,
816,082,892,316,578,741,817,588,171,503,883,177,932,026,240,988,266,756,767,
919,006,025,970,117,814,056,237,983,666,041,126,074,695,327,383,201,342,493,
245,174,754,873,208,962,601,913,264,577,946,562,266,897,675,303,203,319,496,
590,714,518,290,635,314,846,541,319,719,625,811,155,493,068,451,866,306,461,
886,169,632,746,087,483,065,600,602,186,040,944,025,101,642,099,983,609,967,
359,978,131,056,049,522,064,079,701,911,915,767,941,857,051,470,137,222,914,
443,892,349,455,418,907,671,977,472,418,434,556,003,815,462,471,575,726,318,
935,779,410,951,698,782,974,150,984,886,071,235,202,215,757,105,512,849,950,
032,911,579,970,683,216,342,582,428,500,116,087,835,791,427,809,676,223,635,
928,068,146,852,007,677,573,742,291,043,027,795,032,965,091,279,492,620,558,
526,296,748,334,367,075,368,148,206,696,091,033,275,660,888,033,384,539,399,
775,920,508,695,479,610,727,718,670,449,140,693,426,388,122,390,746,401,164,
735,678,386,239,523,310,570,302,526,455,067,773,506,117,038,267,024,541,900,
089,009,939,010,127,860,844,318,664,162,320,503,631,818,455,764,116,877,731,
080,448,361,313,075,396,958,667,634,620,671,569,879,360,644,451,985,490,666,
435,390,283,986,514,110,496,174,036,891,600,618,720,878,889,291,483,444,413,
515,689,969,098,434,767,789,129,341,622,349,193,631,420,994,027,489,658,044,
006,250,556,298,373,780,882,730,681,427,918,091,750,245,830,453,498,328,337,
430,475,005,000,956,177,453,444,861,281,588,695,750,689,533,167,059,422,797,
100,963,726,896,646,580,094,190,697,694,219,774,262,156,855,035,663,304,871,
490,728,128,111,588,612,498,301,850,659,174,564,524,107,753,792,117,351,994,
793,000,519,978,654,292,237,353,498,903,529,184,754,556,983,880,012,480,406,
821,492,037,344,757,405,649,339,429,770,612,463,322,056,158,972,131,039,729,
525,692,757,100,868,920,515,283,042,460,326,960,255,516,395,570,378,988,787,
030,519,035,158,231,205,820,685,185,572,956,468,572,458,022,974,608,425,466,
436,611,134,034,402,830,288,243,691,777,925,223,818,811,176,018,247,345,847,
487,347,382,472,050,929,262,681,787,930,564,053,552,175,290,352,900,093,707,
128,274,602,153,318,359,350,552,682,113,431,343,538,902,748,636,878,281,482,
230,954,994,718,439,828,629,195,468,731,098,702,740,545,930,975,851,168,023,
384,417,296,642,600,623,258,201,927,314,892,134,063,020,728,316,401,757,879,
426,442,772,022,317,974,158,163,606,332,750,945,669,143,945,708,612,162,833,
691,430,927,021,058,075,282,182,072,765,175,418,604,736,350,528,069,136,542,
278,489,403,133,069,505,546,816,987,226,521,717,633,151,139,681,096,051,232,
100,831,596,511,160,922,568,622,691,486,762,845,368,747,319,091,651,925,268,
508,758,056,910,390,012,128,733,983,067,915,658,722,153,307,698,372,598,082,
590,433,611,912,311,103,629,862,996,197,242,031,474,195,328,218,273,214,797,
573,688,787,286,058,092,798,933,196,384,724,362,824,099,304,422,714,054,032,
943,686,888,877,137,372,590,005,218,422,399,493,614,881,438,633,496,033,077,
032,067,738,925,123,059,915,128,878,661,733,009,845,507,299,084,294,074,660,
731,125,030,093,062,581,723,269,718,548,986,196,798,275,097,411,575,039,869,
255,094,581,910,801,668,866,875,562,732,422,730,165,191,242,664,720,617,243,
964,098,043,111,038,100,944,714,163,227,011,048,490,336,884,507,907,972,442,
203,691,683,344,757,575,232,655,706,989,087,122,392,842,067,333,549,284,980,
579,055,468,228,944,096,508,437,521,854,903,162,266,426,727,052,804,829,425,
981,880,201,441,291,598,123,166,881,673,781,034,481,333,574,606,214,151,070,
843,533,660,946,220,763,189,038,143,859,179,433,905,990,278,719,338,010,832,
758,053,850,778,151,380,671,447,965,675,916,949,448,501,214,367,648,523,363,
061,933,832,054,420,126,468,855,498,947,158,524,517,808,612,645,120,493,558,
594,229,841,648,721,884,421,317,640,277,698,729,298,178,422,364,281,362,414,
729,816,545,843,056,760,028,966,908,287,553,565,888,527,518,230,802,081,098,
670,605,710,643,069,595,787,384,573,245,261,775,074,346,550,300,207,556,229,
881,522,512,154,757,334,045,656,971,300,840,380,633,579,486,743,738,789,928,
426,453,683,469,593,191,147,657,729,111,346,724,056,306,512,032,640,655,063,
218,250,263,833,528,202,409,173,369,137,181,403,728,392,911,925,092,947,891,
035,539,322,536,602,928,893,923,701,175,029,117,747,908,615,412,890,551,035,
642,698,903,163,412,027,786,669,498,740,466,788,375,686,160,323,691,538,894,
557,514,869,223,694,363,126,632,774,086,744,157,264,135,453,015,348,940,219,
111,307,456,829,112,280,239,977,697,882,568,577,676,682,060,926,793,823,271,
726,191,602,347,562,199,138,082,072,275,193,645,854,111,590,755,166,110,009,
348,892,321,298,677,792,468,697,282,969,673,002,186,245,495,042,366,488,564,
595,004,440,138,094,139,677,882,880,907,577,061,439,836,074,825,190,617,425,
760,757,476,112,570,596,418,804,071,374,835,386,446,095,651,796,510,158,506,
474,866,983,413,565,728,513,648,242,923,215,053,691,738,363,992,751,568,889,
913,958,218,369,526,527,425,652,395,209,281,233,441,907,081,511,789,148,679,
858,021,954,274,435,929,877,577,619,411,322,778,758,294,359,101,396,672,066,
144,421,925,725,223,684,471,583,792,356,402,393,069,529,056,518,943,157,705,
214,618,079,090,521,657,241,234,116,931,761,546,847,378,074,679,422,821,401,
685,744,505,851,014,433,103,871,714,655,911,365,536,525,770,294,512,803,913,
274,265,104,986,453,574,622,919,187,706,911,496,804,590,254,291,289,185,499,
944,364,574,865,111,213,436,000,915,026,792,839,762,920,896,519,719,473,983,
938,075,972,716,963,713,699,986,391,204,206,988,130,604,428,826,757,249,025,
190,944,249,397,147,266,870,752,949,926,128,779,948,838,011,240,499,685,116,
571,571,698,321,587,913,453,902,589,835,620,725,469,677,139,095,046,312,916,
481,922,783,001,897,124,941,934,845,266,359,514,476,142,904,838,605,384,324,
567,349,779,884,891,496,772,092,995,897,843,224,900,426,121,937,416,967,851,
489,394,362,906,808,558,899,043,234,362,767,041,563,650,123,865,061,454,253,
044,904,487,331,051,486,805,847,860,720,647,086,615,305,924,630,478,205,488,
997,128,795,986,291,673,148,193,808,724,148,375,797,127,864,615,395,891,638,
298,185,655,472,248,203,862,123,750,637,861,654,060,397,664,364,000,145,080,
759,744,633,642,850,700,243,095,467,708,525,913,136,948,762,866,713,315,208,
063,285,747,268,870,437,912,714,119,679,598,616,397,526,160,799,665,747,929,
569,068,227,779,237,521,824,232,023,092,826,133,597,290,595,991,820,806,481,
274,662,453,945,468,263,404,994,293,142,080,101,969,938,000,263,749,257,591,
153,676,458,494,050,798,310,657,615,813,819,571,890,273,052,492,667,363,097,
657,043,603,329,768,929,904,862,697,719,493,545,742,160,449,405,639,203,819,
786,054,118,286,293,351,210,361,013,611,875,831,492,216,370,851,422,827,592,
365,472,138,856,689,138,943,025,884,667,153,031,847,458,655,446,828,190,975,
464,788,756,141,120,552,869,502,685,284,111,109,009,597,892,269,908,961,482,
508,283,606,567,597,638,648,424,107,913,668,973,091,761,421,815,454,550,817,
550,304,771,358,353,963,615,596,288,732,442,151,893,303,011,415,322,708,695,
631,667,162,746,277,965,898,021,068,671,712,474,047,345,699,837,117,411,295,
905,268,733,117,692,585,949,043,806,686,626,309,090,614,666,652,458,800,611,
027,617,359,653,114,290,149,976,580,048,809,395,038,684,854,796,657,781,166,
583,271,325,603,220,276,083,275,620,049,318,283,108,496,268,553,701,710,374,
232,766,858,476,526,749,033,721,936,195,001,834,523,518,179,170,538,072,254,
216,585,816,668,550,313,288,374,738,288,040,357,677,129,204,129,836,845,622,
477,546,819,454,286,539,323,263,082,540,596,658,342,778,866,055,303,910,775,
874,754,956,365,029,756,767,766,756,889,835,491,658,401,967,023,485,956,786,
037,151,627,976,425,811,107,590,692,033,382,169,525,675,011,618,866,908,757,
818,554,974,671,284,493,958,120,990,996,617,679,856,127,022,204,043,725,391,
274,787,112,261,487,412,826,395,063,142,262,836,564,940,956,082,999,116,398,
260,687,665,641,089,945,735,059,233,276,736,463,396,496,035,060,820,968,528,
053,016,230,960,991,462,957,658,233,786,036,089,020,099,547,278,765,220,023,
680,889,561,872,466,448,060,457,564,592,372,766,927,323,797,409,502,813,634,
826,825,855,984,398,006,923,121,726,838,622,959,952,652,905,131,914,759,360,
586,985,266,879,828,382,126,245,058,178,504,922,167,506,658,587,192,885,505,
963,711,328,029,738,875,208,057,215,834,498,419,307,094,901,769,168,074,872,
499,601,103,759,747,028,556,105,195,616,451,242,356,390,672,002,824,108,300,
465,229,572,328,477,814,762,656,729,468,968,694,411,725,885,527,850,588,097,
005,724,079,383,716,634,035,832,611,463,055,584,940,594,734,343,678,788,615,
960,777,966,763,530,276,179,992,686,609,571,964,986,277,260,327,841,826,012,
972,842,246,744,480,464,271,016,957,195,572,275,448,287,916,620,027,216,134,
585,153,958,091,640,512,788,530,013,999,692,350,437,059,104,200,663,823,042,
951,412,666,597,713,343,569,177,247,777,580,168,387,413,551,212,662,599,906,
892,840,207,799,076,046,764,702,782,916,822,049,918,461,325,451,004,637,199,
744,324,309,615,361,889,469,066,115,671,100,886,617,305,799,219,572,924,478,
283,880,352,424,253,928,347,930,781,332,722,524,589,621,771,326,891,647,970,
336,672,053,817,614,821,603,772,122,305,561,032,386,042,468,815,587,677,601,
044,293,116,041,299,984,830,213,099,734,840,430,725,497,234,743,605,419,806,
425,729,542,603,983,287,733,297,001,815,064,704,928,999,682,658,178,497,138,
370,857,924,957,327,914,645,053,531,119,457,764,635,151,147,301,721,224,290,
861,868,999,992,091,722,671,037,679,696,911,156,640,134,246,775,053,785,334,
064,630,500,927,321,301,929,594,705,900,509,888,888,064,902,995,214,147,182,
843,686,683,807,868,480,134,389,299,183,798,915,975,056,618,974,744,391,363,
371,726,834,291,215,990,436,888,388,766,313,198,875,323,797,795,396,916,258,
233,489,880,366,798,598,977,291,902,403,835,767,293,490,304,839,711,612,596,
326,486,498,240,886,747,785,093,090,274,585,526,401,166,818,851,870,144,413,
194,375,029,485,986,439,531,044,660,471,983,022,604,731,716,700,459,756,212,
480,574,791,425,825,144,393,213,364,253,496,827,080,938,718,315,900,392,762,
093,751,693,083,564,484,364,642,074,379,386,515,107,759,876,568,735,334,434,
780,453,479,732,527,198,917,891,249,142,311,230,714,014,949,532,194,055,897,
565,183,890,795,913,325,509,589,975,959,797,049,304,345,123,869,272,836,893,
729,422,533,732,385,177,674,164,376,869,743,455,606,608,434,000,501,711,518,
471,631,071,220,287,317,512,182,141,337,033,614,948,022,641,171,343,007,564,
245,940,686,088,542,300,323,996,306,081,324,560,133,203,123,421,885,854,898,
254,212,325,080,820,452,837,921,637,834,232,681,610,366,337,718,512,891,095,
678,675,670,881,990,834,552,778,512,323,423,627,984,886,556,822,121,776,732,
697,382,676,126,808,325,805,770,329,554,101,981,096,930,304,056,405,419,728,
847,384,265,771,225,282,120,594,052,895,439,080,856,152,149,603,175,903,597,
346,050,264,150,540,832,000,924,586,356,945,210,425,348,596,218,579,705,856,
172,096,307,621,588,151,901,523,252,366,085,185,703,721,510,413,417,442,274,
703,154,923,382,034,565,847,486,558,460,764,150,064,744,802,716,896,435,487,
154,112,903,620,915,835,353,673,769,767,097,767,905,756,625,381,015,413,928,
669,150,700,868,103,316,197,500,392,937,772,896,694,515,433,758,786,577,095,
634,628,068,810,381,723,795,764,943,464,166,381,345,454,285,744,035,698,707,
588,581,411,227,134,948,599,195,182,813,599,808,198,565,373,840,109,693,407,
053,855,254,448,498,238,665,009,920,472,655,578,785,052,570,485,900,331,688,
100,520,969,095,134,171,290,357,838,046,769,801,086,446,917,287,103,360,630,
841,953,797,588,684,633,336,461,859,938,725,370,162,512,357,271,005,198,040,
187,848,201,205,972,222,924,017,997,692,477,432,100,897,399,919,510,717,169,
843,570,017,535,445,350,536,150,334,993,189,969,161,401,188,307,297,230,425,
271,174,244,552,541,007,819,072,014,933,036,550,393,974,875,590,838,592,299,
165,937,188,879,736,684,183,979,004,554,089,991,987,410,161,514,155,275,653,
940,113,917,274,350,512,643,818,057,473,657,206,787,314,030,462,808,117,691,
228,649,290,292,037,834,380,766,117,122,278,597,332,587,543,218,766,792,082,
181,649,300,242,115,633,779,326,183,641,182,321,720,063,953,665,164,214,539,
553,519,515,270,620,816,493,397,248,288,394,835,004,257,451,234,404,534,759,
060,094,333,618,323,628,777,621,377,089,971,946,866,718,404,631,382,710,879,
249,569,991,712,843,748,345,944,762,161,154,986,453,323,442,537,352,672,527,
298,488,296,192,637,874,991,643,122,668,335,286,436,037,529,961,869,218,238,
411,204,126,010,311,224,857,500,282,110,204,613,968,159,136,118,742,857,520,
763,320,397,411,008,025,607,524,522,963,161,450,952,497,780,185,538,261,533,
642,560,371,558,100,344,897,270,232,844,883,873,249,948,847,270,642,235,573,
225,577,948,301,719,887,467,858,095,733,488,785,727,648,318,622,402,994,646,
056,620,277,895,051,756,732,487,443,880,664,185,134,350,958,948,818,101,380,
141,348,894,072,179,751,445,783,610,681,352,605,803,356,460,681,076,467,052,
541,265,412,799,934,896,811,381,986,263,148,583,445,644,101,075,748,384,879,
937,853,836,398,052,341,528,085,174,250,025,140,424,868,209,043,389,069,179,
255,760,779,829,344,053,703,787,874,373,907,291,086,307,781,128,841,945,313,
369,368,192,745,211,425,576,193,983,077,025,169,080,178,063,861,810,710,231,
425,467,360,336,703,132,670,139,636,890,634,793,676,989,336,835,130,221,481,
941,010,722,573,065,956,756,863,051,766,948,250,370,792,398,528,498,909,348,
456,865,712,761,271,563,067,710,037,434,199,972,729,101,961,993,018,209,358,
735,614,315,500,313,517,138,045,902,557,467,142,931,798,985,435,450,454,132,
274,569,884,088,526,973,402,907,823,089,080,832,434,132,611,727,351,990,888,
805,234,258,725,083,033,083,454,122,717,914,462,826,207,322,270,195,166,650,
739,723,308,120,854,153,244,271,345,346,486,044,727,097,142,799,643,228,548,
956,632,155,426,581,088,200,826,528,056,929,008,264,096,137,066,167,772,714,
933,178,042,131,789,692,957,038,363,306,227,956,859,334,920,539,621,633,294,
469,942,521,790,239,871,069,508,138,123,504,169,872,683,753,458,227,647,472,
600,445,770,938,917,058,017,945,782,437,485,621,718,278,327,759,395,416,489,
750,789,945,762,844,309,046,763,701,358,748,988,482,786,497,288,224,445,189,
658,040,537,539,509,080,880,239,110,678,930,967,267,721,169,214,442,684,461,
173,732,636,887,240,361,979,745,976,472,239,903,774,348,035,964,783,280,775,
692,072,726,095,502,781,592,870,100,641,708,659,916,670,240,655,330,020,624,
091,332,265,633,918,133,599,126,674,130,041,184,184,449,182,489,888,030,890,
295,810,860,023,098,534,211,243,418,402,037,289,700,573,988,861,958,745,475,
068,696,349,862,467,115,930,311,511,766,209,998,955,326,181,009,426,037,805,
991,970,571,073,098,094,607,914,213,603,148,799,087,798,495,497,151,599,827,
231,168,695,406,420,085,014,507,164,147,599,342,082,293,246,495,119,653,400,
274,010,622,374,051,731,976,000,639,474,417,527,402,727,521,853,888,100,775,
363,470,081,017,051,574,745,908,204,338,339,294,928,674,034,341,623,414,706,
140,951,464,552,960,502,494,433,733,404,293,376,541,862,971,217,835,028,685,
482,493,501,552,513,176,846,799,999,146,381,356,656,582,369,115,777,183,605,
059,555,217,985,582,745,936,872,010,784,987,670,451,976,909,725,382,256,177,
307,301,365,279,977,878,309,194,049,694,005,280,238,931,162,092,415,042,576,
378,085,222,765,592,840,341,095,876,692,423,780,355,035,679,816,639,488,663,
674,447,883,873,297,506,147,197,714,616,204,018,728,879,112,123,068,474,582,
349,085,253,882,104,306,308,766,857,266,468,546,936,557,698,519,685,545,921,
739,018,903,270,786,873,917,492,903,610,365,092,388,658,466,891,234,180,421,
762,483,022,864,909,974,912,644,859,459,140,977,959,461,806,044,790,169,241,
891,466,746,668,439,626,990,155,861,672,159,290,654,141,317,721,654,031,675,
754,244,181,492,929,444,116,212,812,873,058,970,175,033,399,061,596,533,725,
271,982,775,537,801,285,318,730,772,083,078,760,346,960,701,536,460,757,123,
692,097,919,139,109,242,396,616,806,814,632,008,968,226,653,043,686,739,950,
463,309,818,632,666,543,207,444,447,298,436,749,850,920,682,211,144,716,656,
364,016,731,196,167,105,324,526,240,047,949,488,677,654,994,473,355,454,112,
983,053,543,009,396,749,515,997,556,769,206,352,256,117,452,126,124,955,846,
490,388,458,914,339,483,538,800,972,396,046,011,880,643,234,346,157,730,560,
690,139,996,719,110,096,298,092,398,514,879,283,181,562,915,291,781,598,160,
289,312,851,464,335,945,000,648,310,342,603,612,799,002,631,403,854,861,064,
684,443,397,208,072,876,258,572,539,969,285,308,692,358,316,155,192,405,965,
321,386,516,786,644,703,538,094,544,295,481,121,865,207,447,878,881,411,032,
941,627,580,367,516,229,912,245,432,218,318,899,013,755,087,402,700,993,487,
071,441,145,130,445,997,506,938,657,549,513,272,594,519,324,360,449,669,330,
266,022,918,729,319,369,908,442,916,194,433,469,996,284,965,274,388,962,306,
228,390,174,147,672,292,370,567,173,729,919,789,672,405,397,850,791,352,156,
068,972,950,692,781,526,041,666,869,182,394,200,761,446,184,336,685,041,069,
032,288,597,384,783,641,256,054,994,483,596,756,846,232,114,653,466,587,827,
209,263,948,400,218,369,370,045,124,409,498,045,472,919,136,639,884,051,155,
764,128,123,385,043,652,208,454,723,330,681,293,846,696,201,871,953,809,683,
300,902,097,958,739,327,341,205,654,370,218,724,498,655,845,610,996,540,142,
883,686,190,003,140,421,841,063,200,287,792,191,847,268,968,349,680,627,996,
040,209,025,051,086,708,464,524,474,935,201,728,467,195,760,230,655,855,691,
314,850,041,189,535,330,486,269,799,857,713,988,591,739,033,795,757,089,807,
929,048,520,912,561,158,666,421,381,479,675,153,631,464,639,803,392,970,305,
000,675,459,480,726,742,463,304,138,102,069,638,502,653,047,837,280,125,231,
559,471,494,353,059,126,982,675,697,804,382,619,322,516,523,313,785,876,386,
227,976,844,307,280,708,933,973,944,199,696,710,846,038,449,124,918,054,928,
468,307,988,857,303,785,826,171,135,343,870,620,654,201,219,507,131,217,073,
478,150,505,876,715,993,869,753,231,513,723,878,833,829,648,981,559,689,583,
187,968,869,817,555,626,625,058,604,094,480,504,359,661,286,867,671,553,289,
380,941,297,114,610,259,149,277,501,818,015,484,828,595,785,658,396,469,688,
717,206,369,544,044,091,613,513,233,039,662,470,932,556,121,744,140,742,447,
416,963,450,486,271,457,180,950,769,417,235,533,854,971,903,875,840,311,129,
970,640,393,391,459,939,784,153,341,019,487,419,891,176,088,225,086,919,962,
573,070,624,508,986,348,259,638,805,578,238,280,404,137,320,942,783,425,667,
206,158,484,156,985,370,007,361,938,459,556,168,849,956,640,318,993,442,136,
013,056,150,502,799,517,723,504,242,233,050,027,465,414,676,681,586,746,102,
538,965,227,588,294,666,762,829,953,967,748,480,286,080,729,331,049,351,978,
708,341,043,018,336,015,943,622,217,806,388,115,045,157,614,831,690,749,726,
500,354,665,007,078,304,177,947,272,335,487,139,661,596,157,030,661,069,442,
718,475,484,911,742,968,202,230,969,748,692,436,187,190,512,172,193,999,198,
111,210,934,690,490,347,377,443,801,134,382,194,279,997,935,668,915,803,751,
918,738,741,583,028,669,685,596,813,003,971,736,396,788,279,155,464,635,362,
031,916,191,826,053,940,905,623,095,323,158,974,757,289,529,284,265,641,240,
998,697,478,353,889,140,996,145,369,633,352,606,482,948,464,016,134,992,943,
192,967,010,909,122,549,889,599,704,082,476,574,929,015,691,548,147,171,308,
098,391,178,782,462,512,818,088,548,104,034,586,704,811,265,342,858,327,850,
233,078,456,547,143,836,724,858,798,170,015,000,637,925,939,961,336,988,499,
502,773,753,431,933,580,588,528,401,796,296,659,447,253,386,098,959,081,740,
091,147,543,336,777,476,608,573,546,131,458,010,619,087,932,469,248,633,750,
331,920,751,114,753,681,979,766,509,699,519,671,735,603,693,285,309,186,319,
715,898,626,940,824,924,066,036,550,681,409,365,856,138,809,750,131,916,225,
749,625,391,420,068,484,041,459,198,044,996,391,826,564,595,472,397,328,543,
624,451,903,671,493,141,253,393,333,111,944,778,792,867,348,461,751,676,342,
806,075,749,144,409,230,622,374,161,364,907,424,439,749,405,187,200,398,628,
534,905,082,514,348,963,967,838,649,741,756,501,352,443,074,725,990,649,682,
349,474,911,121,343,636,448,201,359,205,185,861,747,963,914,832,893,440,622,
897,322,402,807,585,260,560,048,198,771,199,882,277,560,364,578,148,792,986,
088,119,124,346,717,309,064,869,633,722,793,185,133,987,481,281,281,853,729,
871,151,169,942,093,857,575,748,302,678,757,738,907,459,850,597,123,041,584,
330,542,170,010,571,634,320,146,362,799,620,190,698,492,874,196,300,134,123,
212,990,992,516,784,508,736,108,782,447,016,548,481,561,792,460,969,001,337,
974,756,451,148,934,096,600,645,250,652,305,436,901,341,570,936,108,983,884,
805,125,771,700,465,207,010,700,051,800,116,477,545,804,761,762,515,981,123,
358,690,807,147,039,150,273,741,227,310,136,282,500,661,112,770,314,670,717,
733,007,060,951,480,476,782,704,318,019,286,646,925,504,259,159,797,340,118,
793,733,879,299,336,403,490,863,870,049,865,045,897,527,926,459,225,627,451,
763,003,755,788,099,020,282,303,287,069,770,934,191,677,540,274,772,291,308,
286,443,920,510,991,927,983,426,692,015,548,527,896,850,490,439,634,850,125,
586,285,559,530,565,663,214,997,611,574,561,494,291,676,847,369,626,265,365,
862,402,275,355,011,814,083,983,351,431,753,416,654,400,429,117,572,825,870,
300,589,277,543,901,359,164,628,990,394,786,226,060,318,083,760,922,309,572,
769,319,988,093,056,159,488,390,813,461,961,414,625,298,269,896,715,623,110,
716,662,303,364,675,391,035,826,262,466,594,098,003,679,578,873,691,425,683,
621,834,589,080,695,233,153,728,987,247,798,732,506,997,485,179,641,561,937,
663,568,210,519,636,894,151,071,127,155,728,858,158,206,849,387,975,310,780,
764,958,116,872,271,570,872,725,880,430,972,306,253,709,490,844,276,480,583,
026,103,032,628,468,246,542,161,414,985,788,960,796,332,994,151,920,133,711,
077,867,392,920,846,780,961,266,928,578,285,160,999,459,456,503,603,143,506,
922,484,299,194,100,663,061,755,752,547,958,279,107,095,927,541,431,287,161,
807,352,430,496,604,077,930,529,938,066,565,920,685,257,020,382,495,927,247,
182,415,051,718,257,968,269,971,083,302,159,834,029,603,454,792,933,352,746,
227,053,623,406,798,216,207,592,943,991,076,175,679,347,201,112,255,418,769,
922,216,831,300,924,407,001,343,707,929,828,150,969,949,488,980,923,734,012,
599,398,445,679,863,039,647,880,064,242,893,399,542,765,794,705,810,455,024,
020,538,185,840,446,951,761,673,590,514,715,308,638,810,972,353,412,730,592,
135,337,355,061,934,409,158,958,718,326,305,746,870,124,483,530,100,376,742,
773,086,072,711,032,226,450,886,592,646,765,277,534,043,483,662,813,026,071,
717,580,295,386,076,503,156,259,079,670,538,733,226,667,565,145,726,959,154,
200,966,403,345,304,209,503,636,452,426,100,663,268,275,475,939,705,482,770,
065,007,811,503,068,647,197,703,995,749,826,924,526,770,274,594,783,470,294,
608,911,596,579,117,274,557,060,975,068,602,747,437,758,377,838,840,602,826,
817,227,769,955,308,672,482,037,059,453,114,768,591,145,295,585,418,520,988,
023,895,331,839,566,470,772,560,624,489,002,080,888,408,146,655,297,663,191,
890,955,085,330,686,240,528,387,835,885,349,184,856,046,113,856,009,334,819,
142,467,672,987,722,916,188,439,483,011,533,541,942,080,335,992,868,716,172,
196,377,833,743,592,479,198,745,802,245,348,628,986,823,734,245,388,343,110,
780,681,014,419,713,465,526,500,255,881,445,579,052,699,679,691,361,066,415,
094,523,662,933,071,248,602,481,798,818,278,489,770,598,516,438,044,673,883,
411,815,685,564,463,973,213,781,354,359,710,026,867,393,469,802,362,596,858,
635,870,941,236,231,896,853,976,517,426,526,017,576,240,041,439,099,003,907,
265,270,111,513,020,005,941,095,591,176,961,886,851,746,494,495,719,562,396,
814,446,117,889,302,549,002,437,719,500,051,364,258,941,222,597,369,631,814,
490,629,896,065,544,749,025,067,737,219,571,689,432,690,540,717,375,504,188,
648,390,866,871,930,080,117,544,125,135,925,724,915,830,903,535,613,621,334,
323,333,496,057,911,146,369,339,590,244,419,492,966,853,979,425,142,795,159,
607,686,476,312,960,982,074,126,129,230,054,233,887,597,953,478,762,744,421,
764,516,168,441,127,686,980,919,567,235,125,199,353,365,356,059,900,037,095,
470,354,676,560,979,149,222,027,773,941,860,804,733,475,621,293,800,378,382,
391,234,716,074,414,168,632,867,838,502,121,379,083,483,401,933,989,936,064,
029,801,828,167,521,820,167,817,236,434,105,785,729,254,491,398,251,496,780,
420,264,062,430,999,574,111,133,421,600,585,487,121,457,517,339,726,865,791,
683,901,009,655,080,903,780,201,572,853,981,593,432,925,263,093,519,010,162,
879,655,559,894,121,136,107,870,151,978,188,150,218,633,962,932,032,373,299,
791,206,171,214,185,854,962,736,950,242,862,628,602,549,079,698,541,932,196,
095,690,207,933,566,177,811,817,626,076,520,482,465,440,842,582,847,048,438,
575,247,775,412,412,043,340,580,392,780,682,799,752,877,636,892,711,434,133,
374,396,910,248,666,650,405,287,170,560,442,387,298,133,294,070,655,768,435,
255,318,259,177,312,487,085,121,231,771,941,158,706,004,793,808,323,676,913,
348,827,060,216,708,025,484,148,901,417,190,358,229,817,898,985,393,456,645,
913,172,948,535,432,294,278,086,602,300,921,003,497,904,262,844,735,818,412,
719,823,822,118,788,334,316,354,821,133,226,503,734,402,475,450,213,820,707,
636,958,414,840,466,907,559,976,547,274,136,817,444,037,901,458,137,163,629,
621,741,631,371,716,380,742,119,088,881,354,040,534,423,445,440,397,138,219,
074,294,952,720,570,504,521,167,789,246,529,571,128,789,504,156,936,092,068,
493,709,504,269,910,071,718,751,794,276,594,877,067,407,068,993,820,559,453,
183,860,574,537,613,100,904,042,598,870,885,122,204,457,353,769,261,944,118,
064,387,675,336,715,711,125,051,149,967,117,805,120,689,842,315,382,242,885,
307,405,470,977,150,184,958,861,419,394,201,737,224,753,197,701,466,120,736,
128,050,603,371,767,793,186,825,321,947,653,481,765,202,851,060,624,042,310,
821,294,326,024,858,606,389,107,141,213,747,588,746,861,062,704,318,541,482,
757,183,734,891,574,842,270,605,856,154,623,844,639,420,338,123,588,363,157,
734,372,468,666,580,739,020,171,415,916,716,986,529,790,182,018,137,108,548,
534,527,915,162,550,254,219,007,958,692,750,568,040,672,515,264,150,831,877,
855,880,509,584,359,499,186,083,911,909,400,277,991,394,334,146,934,637,243,
971,783,668,827,020,935,164,566,876,200,513,969,952,748,056,399,661,816,352,
205,974,546,993,210,213,216,091,150,111,593,175,123,439,283,159,856,943,367,
021,145,666,846,172,754,099,149,904,002,434,596,779,007,075,322,463,976,875,
635,759,095,542,098,796,379,442,847,362,572,769,050,517,111,096,867,898,349,
247,293,845,720,361,576,804,410,712,315,845,550,671,068,240,689,449,933,101,
611,179,107,087,723,231,703,293,191,843,278,224,470,740,947,672,995,759,898,
965,433,196,674,365,801,653,044,377,001,854,695,415,683,967,170,643,858,795,
012,960,380,417,489,201,202,213,605,513,468,998,395,511,945,994,662,251,599,
438,897,989,833,540,618,608,939,209,249,669,605,924,164,355,966,273,048,976,
742,164,113,546,646,985,641,912,123,493,060,651,010,025,792,621,816,143,125,
735,304,426,204,751,786,445,226,416,871,929,991,318,773,391,166,737,563,845,
834,993,641,814,669,924,731,814,347,862,461,457,161,465,153,037,608,373,824,
887,989,478,784,028,419,883,920,160,377,452,959,898,277,059,826,926,969,759,
025,043,115,265,694,395,670,399,477,890,561,612,081,366,767,333,839,582,817,
983,974,001,864,180,431,198,269,897,919,024,751,629,416,558,274,919,181,054,
562,914,611,690,645,509,305,903,346,685,855,507,684,465,391,998,005,410,447,
672,729,383,398,995,724,646,076,978,031,158,755,071,343,781,264,813,777,219,
153,177,652,926,264,935,113,776,587,146,668,441,815,906,198,403,583,031,061,
544,062,488,063,292,372,540,933,413,007,994,698,815,788,457,275,134,997,725,
550,826,750,340,309,809,680,535,321,787,084,408,627,800,470,422,969,624,943,
152,060,255,174,936,980,762,963,459,985,763,273,695,292,810,183,141,586,729,
278,573,068,629,212,787,015,232,028,951,144,250,593,744,473,843,115,457,822,
426,320,524,228,903,872,440,063,634,959,389,907,749,387,593,168,678,977,462,
837,307,310,435,813,823,758,097,792,704,387,683,073,823,638,273,157,190,987,
010,772,948,667,287,925,047,034,542,838,243,855,399,123,448,322,621,446,895,
605,816,161,488,976,855,137,669,671,289,431,974,440,191,696,801,087,653,476,
000,317,606,662,505,893,849,674,303,942,736,620,480,270,769,827,422,467,856,
218,126,973,456,361,447,486,200,915,221,016,826,182,205,479,228,102,912,899,
110,418,708,938,473,072,348,667,356,557,277,844,013,291,975,683,127,215,175,
230,458,681,447,422,412,730,080,760,316,358,523,193,840,832,867,867,087,726,
728,578,433,153,138,373,008,245,324,593,305,273,916,372,226,096,200,028,159,
451,582,242,765,232,544,769,488,236,915,666,932,265,960,562,135,317,317,720,
748,357,365,019,028,550,878,318,266,887,045,784,514,035,427,312,448,963,064,
217,465,367,899,635,508,652,954,627,962,577,379,455,883,866,919,145,475,733,
842,496,175,664,792,730,002,010,691,568,901,870,386,903,022,172,127,307,967,
590,268,236,500,490,889,756,735,603,506,648,462,317,027,482,658,734,614,491,
843,211,041,864,503,318,599,715,358,477,162,493,125,826,539,036,032,870,681,
674,377,875,724,840,408,943,981,893,058,062,038,331,340,798,648,053,966,290,
642,950,540,661,992,967,596,017,312,145,593,912,929,981,340,602,632,012,673,
308,329,199,717,147,771,221,160,182,718,317,380,362,149,715,224,409,971,745,
347,350,394,513,193,993,221,376,250,429,505,332,224,821,439,133,094,457,021,
365,401,552,667,136,532,179,512,585,036,870,656,355,572,809,341,163,808,703,
285,171,868,548,853,538,045,506,899,709,669,356,899,604,433,800,328,816,042,
349,013,349,476,653,567,300,474,664,642,433,586,387,046,807,730,357,369,925,
383,063,218,125,312,470,700,228,467,035,162,231,894,903,701,278,109,637,157,
937,014,576,710,524,738,739,664,886,233,178,856,339,516,599,989,101,474,084,
980,607,519,597,308,582,688,355,105,748,027,392,580,733,052,234,939,958,944,
727,615,868,980,891,639,780,141,340,421,874,344,843,735,694,519,020,306,469,
458,909,598,199,112,514,960,127,470,324,672,707,773,891,226,871,993,919,059,
327,833,579,749,365,481,223,937,570,475,196,076,343,221,617,174,123,376,019,
033,206,282,887,840,897,332,711,542,854,128,392,846,998,627,067,720,879,629,
280,082,420,296,610,569,211,283,513,448,101,874,534,110,872,102,065,935,070,
005,561,039,539,790,072,943,143,982,802,384,832,466,937,119,575,469,237,641,
824,450,165,331,483,507,593,246,336,810,552,294,733,954,355,822,976,778,118,
227,501,446,020,393,906,325,080,855,332,202,731,557,125,983,555,503,403,556,
460,094,366,250,751,955,432,719,254,494,148,830,152,492,417,152,767,142,036,
291,138,807,885,528,259,730,316,607,208,837,109,696,615,678,096,052,959,020,
443,491,302,687,218,430,143,942,692,816,363,588,480,618,687,702,863,692,595,
264,745,827,126,678,352,182,320,673,369,946,570,914,367,881,096,827,175,407,
981,678,740,906,505,739,134,523,715,486,460,962,445,421,538,396,552,736,400,
932,501,905,707,683,818,322,280,193,471,731,311,565,664,063,865,256,763,676,
667,578,084,860,167,756,329,887,746,168,139,086,588,269,558,615,935,895,313,
281,816,619,139,073,474,561,289,551,739,872,832,965,382,474,649,329,408,917,
186,422,262,878,284,575,590,584,407,284,636,202,630,615,518,926,904,218,513,
451,324,801,445,960,512,968,544,296,518,895,329,026,705,546,471,669,697,024,
922,464,384,952,293,089,146,864,977,995,422,812,675,558,310,226,324,387,551,
066,061,612,343,001,402,877,568,632,680,066,344,821,391,144,239,048,588,789,
689,543,686,828,251,464,808,170,358,603,577,387,609,169,704,105,630,893,774,
882,937,203,433,708,624,864,487,941,088,416,656,417,453,574,713,030,884,505,
132,082,766,008,106,894,369,987,096,856,181,744,251,091,064,462,813,865,472,
457,011,227,564,732,315,819,451,466,613,678,717,939,656,247,558,689,139,659,
907,866,361,140,649,226,785,968,405,754,356,369,781,374,601,474,440,093,235,
629,264,830,389,920,633,963,645,927,082,411,086,561,766,085,662,936,615,816,
474,901,109,417,503,537,724,952,376,890,666,024,044,738,837,394,941,929,988,
919,953,223,218,334,515,137,111,278,737,156,362,565,843,693,048,533,720,624,
593,574,392,423,727,642,689,082,257,068,911,035,750,684,260,380,779,329,460,
927,708,423,307,800,730,534,922,975,081,888,967,662,718,977,719,591,573,747,
863,792,743,396,341,362,239,367,067,087,112,504,216,324,645,084,451,857,130,
966,370,965,568,575,013,266,363,268,647,928,202,522,882,878,821,081,657,710,
412,270,866,614,274,917,744,260,077,073,688,184,989,954,704,605,426,213,731,
961,985,811,896,164,433,578,475,342,719,325,820,281,953,346,689,978,829,957,
096,453,527,958,712,090,102,834,133,851,114,815,087,417,807,873,870,672,309,
901,469,494,537,555,104,471,140,738,827,527,186,135,266,665,722,792,186,467,
658,637,545,951,468,997,268,609,392,487,452,402,813,110,608,161,556,562,607,
910,694,506,004,726,629,919,905,298,763,865,328,810,700,542,199,953,471,616,
200,435,556,344,273,637,784,235,797,642,770,783,583,958,789,666,798,967,460,
954,170,797,504,187,237,788,556,566,309,036,878,697,744,655,196,197,867,249,
214,334,822,580,552,798,963,503,296,878,949,937,803,501,829,369,963,100,694,
191,431,536,907,045,060,983,072,760,263,552,968,819,443,977,435,373,363,415,
847,372,966,880,301,500,214,211,284,923,689,131,119,387,048,219,900,201,583,
427,215,029,479,815,626,441,903,989,015,698,633,871,991,339,342,744,529,938,
184,233,121,627,602,182,351,874,624,988,044,698,820,685,281,230,675,750,020,
666,699,411,781,200,024,086,566,694,778,172,580,709,922,773,122,319,777,750,
139,976,183,086,525,594,669,718,258,486,462,174,714,365,278,327,033,455,764,
622,276,573,989,428,506,744,863,232,324,368,257,797,203,504,136,273,761,894,
121,686,825,714,119,098,798,904,079,161,707,061,246,071,523,509,125,454,845,
080,125,742,639,742,087,152,431,198,075,568,128,879,068,379,136,684,679,223,
486,282,332,907,425,633,567,238,748,209,166,217,917,791,655,948,328,632,759,
492,748,017,717,103,340,934,282,759,749,931,127,154,801,374,168,967,762,293,
541,505,179,777,039,326,715,816,157,377,344,971,610,983,145,823,683,185,873,
570,279,517,852,993,653,321,392,286,951,178,863,993,074,964,385,166,538,853,
157,385,496,427,084,998,258,671,550,537,922,529,405,442,059,105,298,158,173,
543,063,291,813,794,490,039,715,259,153,915,807,910,898,455,323,131,673,485,
075,446,792,620,350,478,227,043,701,807,229,311,483,804,411,983,481,471,855,
776,174,282,684,298,891,847,148,330,775,770,847,759,870,209,582,155,539,783,
545,668,096,050,558,302,562,799,200,861,368,296,835,200,656,014,093,397,477,
250,974,965,609,354,057,404,934,304,799,533,442,797,618,721,632,310,702,584,
043,815,236,904,784,100,186,627,546,944,961,707,975,921,844,081,744,068,246,
212,932,477,146,973,621,313,871,627,877,851,383,858,232,403,706,550,973,215,
044,380,415,040,708,931,272,714,122,742,427,459,912,423,988,538,785,201,628,
550,008,438,020,249,334,143,151,665,062,865,467,587,498,548,426,695,466,360,
444,930,629,607,410,236,353,811,627,193,793,121,588,823,165,193,464,565,269,
427,802,334,677,356,739,515,584,485,383,137,925,349,302,537,659,150,387,838,
793,669,661,968,959,209,064,371,761,955,564,461,064,071,750,722,634,989,966,
654,414,145,913,479,231,026,005,268,414,024,511,309,840,863,024,981,977,984,
642,509,138,620,382,875,583,597,255,204,841,604,752,164,605,623,407,247,002,
647,361,459,443,998,439,775,754,867,625,027,663,479,786,417,876,833,425,745,
812,235,733,153,579,228,909,750,464,775,665,993,516,745,372,986,139,381,647,
424,744,328,731,732,957,695,652,622,202,366,039,280,606,906,896,736,866,217,
382,280,437,098,103,306,661,964,288,550,276,483,837,676,076,875,737,266,706,
332,051,244,092,367,055,247,630,746,890,594,469,581,896,160,058,071,319,966,
559,879,205,264,282,459,084,193,184,762,810,745,192,512,770,168,116,059,835,
727,873,971,562,923,647,395,362,647,661,992,161,928,129,924,585,411,374,370,
252,431,861,146,040,560,779,466,830,006,038,521,082,600,457,012,667,273,149,
073,372,724,985,460,973,940,348,418,535,318,377,961,465,634,423,996,027,344,
468,990,781,366,296,441,828,680,629,840,473,537,136,825,492,141,168,957,480,
343,820,922,108,471,731,728,257,324,362,615,077,141,340,465,981,075,477,080,
828,830,017,143,589,741,896,645,564,245,261,258,256,938,627,887,991,084,537,
642,972,006,398,828,528,861,185,945,664,900,275,630,559,543,412,133,713,892,
914,228,075,296,313,566,352,136,955,405,464,970,079,755,865,246,412,303,735,
312,325,906,953,143,684,760,777,791,821,503,398,211,701,235,306,696,242,155,
167,353,109,659,521,544,441,734,689,827,459,403,380,972,946,161,810,809,866,
731,458,113,412,377,909,716,741,152,956,478,274,486,138,478,145,001,566,134,
204,882,407,025,392,111,969,884,448,408,797,332,701,974,192,570,825,675,214,
284,867,632,382,340,624,974,977,708,137,631,830,280,925,365,738,096,445,905,
451,674,196,564,930,118,703,120,612,290,306,216,465,567,223,843,404,081,250,
705,811,155,530,071,034,759,993,519,396,738,247,447,640,706,413,465,986,935,
373,512,309,703,426,088,770,590,017,141,176,338,233,487,472,325,311,537,938,
611,157,628,075,671,791,658,897,627,631,412,330,662,239,345,601,054,151,246,
792,765,504,545,651,789,290,885,710,031,022,139,888,581,562,189,814,643,611,
178,089,384,243,862,863,832,564,286,128,586,071,487,320,835,626,581,541,307,
466,990,401,471,444,882,445,941,484,362,696,242,187,745,890,219,390,321,567,
710,213,511,862,388,547,136,162,255,814,221,536,416,228,655,482,986,761,832,
485,009,199,250,690,842,798,601,983,220,650,856,963,768,092,447,531,434,398,
678,686,857,790,084,016,563,788,456,415,544,419,196,452,782,458,667,444,892,
008,209,008,015,906,355,153,582,662,892,842,856,437,550,497,670,673,771,550,
241,891,592,858,700,412,984,046,601,131,837,063,168,008,066,176,345,890,932,
639,070,268,584,172,542,850,786,302,160,083,329,621,398,502,766,930,512,804,
070,450,405,254,314,312,066,520,819,331,784,980,217,428,240,358,579,865,717,
279,045,508,492,276,557,271,023,101,638,265,762,134,782,580,403,482,743,892,
970,359,482,137,311,457,127,220,393,085,277,968,858,901,247,648,388,944,903,
334,400,439,897,200,336,571,744,426,880,567,653,881,410,381,249,453,579,301,
718,041,525,861,986,231,638,026,998,243,679,616,068,086,504,757,344,649,442,
129,210,993,301,116,559,846,497,359,576,318,611,890,227,828,559,602,467,465,
934,766,354,790,344,621,686,275,364,277,252,939,120,276,589,055,893,795,737,
327,083,003,825,665,264,743,191,802,203,010,996,392,674,726,579,394,515,303,
486,929,193,448,316,866,166,855,880,557,836,496,182,122,239,665,085,144,226,
278,247,666,053,833,734,688,566,732,712,408,835,854,771,117,058,908,779,564,
258,315,907,671,255,106,942,642,957,932,809,308,644,642,486,316,609,860,323,
634,183,829,422,974,006,386,482,834,265,495,149,995,860,565,107,583,348,004,
065,087,604,219,100,412,170,846,801,377,622,357,914,712,048,833,003,680,121,
777,636,344,405,141,280,012,882,773,616,371,208,266,999,225,149,134,238,601,
762,456,021,408,330,943,353,238,037,955,725,352,175,644,283,902,220,725,571,
865,529,828,862,924,251,814,249,358,944,449,439,794,216,755,069,925,273,889,
591,800,106,249,180,925,318,148,079,408,074,835,542,593,802,446,537,065,914,
749,942,782,574,286,814,380,099,668,424,344,585,268,269,697,959,070,346,453,
593,746,082,440,815,982,034,310,227,461,844,487,239,608,181,977,423,619,114,
595,457,664,914,953,268,839,856,293,788,419,667,054,068,533,148,096,207,844,
549,736,716,241,006,617,879,882,343,961,310,233,583,520,400,036,958,510,307,
221,384,239,940,296,796,851,289,286,917,027,741,252,206,404,950,050,772,383,
766,542,535,005,975,060,039,024,538,288,864,784,987,870,057,423,617,063,032,
249,421,203,692,873,508,914,098,295,303,997,340,805,014,355,463,816,496,471,
185,251,485,947,715,027,367,063,017,605,860,308,326,051,057,863,730,025,906,
036,609,503,047,332,380,559,075,742,453,779,204,749,591,998,409,912,439,149,
567,761,489,410,193,938,679,508,299,124,826,165,788,577,981,254,210,865,794,
216,648,803,436,980,318,965,172,165,622,940,010,071,520,497,392,886,452,676,
554,170,675,370,710,945,228,521,115,253,481,983,259,714,566,716,681,735,941,
604,725,042,847,893,677,388,508,353,777,079,672,376,908,120,828,761,606,229,
219,438,249,086,215,859,347,859,673,245,777,054,141,406,264,648,932,488,114,
890,829,275,049,120,806,009,737,572,993,294,135,339,921,572,640,971,372,605,
055,141,564,848,008,485,056,636,535,364,786,577,702,347,916,220,806,015,111,
200,769,278,206,250,464,952,261,207,428,547,416,355,663,059,842,764,379,890,
570,077,246,992,941,069,069,593,485,003,530,759,341,230,323,682,407,298,422,
942,033,545,202,110,887,390,727,047,046,869,378,836,372,837,195,624,960,427,
288,421,852,671,880,766,823,861,370,008,211,982,278,924,434,201,027,035,947,
393,091,412,611,159,046,355,972,565,814,878,622,355,998,757,755,066,722,572,
660,003,673,544,761,043,940,239,434,255,814,385,282,755,108,326,637,386,644,
129,230,531,368,793,292,381,076,287,330,998,700,837,934,227,087,837,607,904,
510,675,894,106,127,247,769,705,998,642,913,829,260,910,519,218,149,826,139,
848,615,295,530,401,364,302,391,256,180,073,735,385,332,686,380,227,529,929,
402,341,872,307,310,864,866,363,030,263,201,904,907,924,590,180,200,442,205,
681,449,750,993,739,096,441,738,848,363,589,354,156,161,765,323,465,726,933,
069,725,004,393,928,077,212,071,175,772,684,440,115,061,945,567,582,250,005,
155,336,509,863,770,861,830,380,075,309,023,151,393,986,030,202,074,514,132,
619,591,834,813,272,619,391,290,341,067,387,413,168,693,507,287,115,079,798,
919,168,717,090,398,937,338,414,274,751,077,708,608,706,612,103,869,993,571,
015,419,877,379,552,740,583,688,498,901,763,948,040,893,602,371,436,558,264,
969,221,111,401,977,537,264,901,065,748,655,729,899,074,078,572,882,778,263,
417,855,972,622,256,613,062,505,738,512,852,894,604,376,818,781,888,401,366,
987,372,718,906,115,430,726,510,226,210,558,951,229,004,061,333,845,924,775,
731,614,328,154,519,990,093,156,500,773,794,771,261,866,372,931,484,458,806,
935,981,424,110,584,813,207,936,845,152,519,099,994,469,576,210,246,404,679,
800,669,067,753,543,121,743,757,087,630,531,881,179,519,522,994,959,962,383,
638,234,088,682,253,720,716,997,175,682,175,188,661,238,068,475,391,124,103,
332,712,991,085,392,583,740,037,146,559,266,874,278,169,505,951,587,504,327,
149,985,463,350,463,834,413,440,904,334,144,867,637,848,938,978,744,139,595,
376,210,657,173,041,915,205,206,730,891,369,228,430,055,611,448,660,797,629,
089,323,777,326,065,710,742,822,101,989,034,581,768,353,943,466,674,030,083,
715,568,252,550,023,406,818,510,717,602,779,706,763,540,708,921,914,605,140,
125,563,253,332,062,547,319,129,586,953,441,979,219,650,470,809,780,025,963,
392,642,628,401,265,021,426,485,478,197,646,758,769,108,481,569,886,123,293,
051,986,459,834,507,554,423,996,147,185,642,825,300,994,926,204,216,832,926,
992,836,605,572,344,072,237,511,907,412,005,604,351,333,475,398,353,447,433,
879,007,578,652,125,487,726,500,867,981,404,210,834,907,988,216,470,836,762,
158,652,966,918,545,212,169,768,709,203,278,863,180,693,571,961,980,484,118,
216,240,749,671,903,995,539,924,546,840,840,869,193,883,664,077,762,207,062,
371,524,544,705,621,486,800,704,760,037,002,160,729,246,495,225,200,315,724,
187,992,532,049,194,625,067,232,879,560,627,398,078,137,856,682,105,208,975,
521,254,930,481,155,618,905,124,433,980,899,580,170,380,279,226,480,794,423,
300,766,922,046,964,239,398,995,110,951,899,880,701,532,551,441,824,134,568,
371,774,509,271,692,990,404,686,441,938,822,483,874,047,477,976,997,973,250,
755,514,633,298,241,087,967,902,032,962,059,358,398,320,027,108,062,680,115,
504,872,743,669,524,055,837,595,190,788,123,097,008,548,256,310,924,823,517,
957,449,823,341,674,202,372,210,026,512,251,146,382,091,169,120,403,062,373,
910,993,902,383,013,340,100,880,106,386,193,643,703,069,525,117,145,979,458,
827,481,437,966,029,120,843,809,602,009,452,328,534,632,460,064,722,198,673,
809,192,494,912,690,609,326,138,474,748,832,075,593,071,200,539,955,016,002,
142,618,813,952,387,265,834,629,421,043,559,773,598,368,597,890,695,253,720,
375,578,238,480,763,183,263,864,820,358,624,161,489,313,647,523,838,316,963,
658,539,837,969,444,568,823,586,256,574,302,730,453,696,896,007,725,239,909,
472,269,310,374,452,044,109,806,170,163,839,586,759,187,258,763,276,254,000,
890,784,674,230,180,672,940,131,677,847,964,763,862,424,810,602,180,965,800,
731,156,310,500,657,800,634,365,749,149,818,085,541,761,234,849,014,590,154,
669,178,314,135,775,321,924,546,384,380,081,849,780,041,214,858,517,912,401,
790,803,003,955,763,970,333,995,045,758,766,588,130,856,586,503,207,822,110,
847,373,791,383,979,214,209,480,630,221,430,771,088,010,727,334,032,814,489,
473,612,784,007,411,692,166,278,962,098,905,381,214,034,186,877,929,861,087,
104,486,235,602,642,126,518,529,140,318,648,325,822,794,746,073,607,034,913,
522,950,893,613,090,715,985,011,149,259,096,130,404,080,421,586,199,269,415,
320,644,505,291,073,294,985,271,419,306,595,565,843,093,350,798,792,459,934,
488,672,009,240,501,505,901,071,034,129,093,107,636,677,054,559,295,368,449,
035,571,398,323,341,612,923,655,605,087,292,691,785,023,597,895,293,753,683,
678,377,415,039,193,079,370,173,864,666,223,844,964,853,750,151,941,266,227,
248,584,439,386,486,382,612,740,411,358,332,939,721,117,836,969,757,059,658,
306,804,279,634,028,150,418,133,407,783,013,453,122,388,608,753,674,883,364,
222,179,402,836,364,747,052,022,261,280,439,882,504,410,421,514,703,973,209,
463,413,217,371,324,245,876,820,060,798,555,068,345,372,662,289,325,474,741,
217,142,592,578,216,082,054,750,808,539,862,785,396,934,835,282,290,354,813,
623,195,384,347,717,650,738,778,155,199,543,101,431,575,483,560,509,527,897,
342,391,547,577,313,245,973,329,553,407,353,204,560,519,857,631,811,884,596,
117,716,191,029,357,239,995,677,844,949,384,698,513,985,210,683,524,129,734,
762,407,843,843,239,066,925,329,049,015,423,138,829,599,564,698,357,566,204,
394,232,300,649,081,747,691,283,987,857,500,784,243,162,546,849,236,966,456,
885,901,174,802,484,762,752,119,967,860,704,952,854,287,662,430,642,265,663,
585,740,921,627,271,877,224,966,706,250,055,874,249,485,796,279,087,002,256,
314,944,824,782,770,349,763,964,782,267,033,601,569,693,885,785,798,308,171,
532,265,800,792,155,229,623,613,346,240,264,616,483,584,587,597,676,528,552,
254,246,215,408,836,699,287,122,819,162,874,253,261,455,209,402,364,342,168,
989,683,506,865,962,385,945,930,288,000,501,254,493,304,630,867,872,488,485,
317,755,055,837,433,590,399,835,141,751,262,406,275,960,859,331,143,559,372,
914,650,645,582,703,757,220,485,470,194,632,793,183,004,900,324,679,490,803,
376,916,436,973,828,128,516,898,044,441,658,952,072,286,583,598,106,958,954,
799,047,418,406,324,691,623,229,947,866,284,660,553,510,670,277,083,338,354,
509,479,159,119,547,853,713,180,284,892,221,065,815,019,808,800,653,744,995,
147,209,802,781,262,784,168,356,159,157,408,254,100,788,480,564,107,913,179,
164,935,951,980,120,353,891,932,318,501,610,823,101,039,222,092,181,793,290,
239,143,755,279,220,515,610,743,674,773,318,201,941,200,893,911,772,784,129,
995,957,797,935,958,042,356,484,849,971,151,791,585,849,881,074,945,744,028,
807,249,611,105,785,520,995,950,492,285,014,587,360,710,623,270,771,428,121,
230,860,826,233,134,706,491,476,673,024,871,151,005,999,133,722,821,808,667,
155,744,098,789,030,075,659,133,684,651,996,043,180,877,133,210,344,227,506,
494,225,425,532,959,180,924,127,771,882,537,782,508,528,304,908,776,602,440,
165,320,067,473,731,621,296,051,824,006,654,140,012,229,984,424,141,349,531,
825,920,751,667,033,615,568,473,763,804,814,745,365,310,414,363,122,720,894,
672,913,927,380,038,809,600,726,827,883,189,035,773,585,648,723,769,070,523,
624,125,691,841,082,446,038,381,887,182,186,508,216,060,500,880,630,201,217,
312,609,492,777,097,941,996,674,342,455,677,930,923,824,113,598,663,002,870,
897,496,885,899,169,742,507,341,453,717,902,095,478,222,949,979,593,459,724,
251,406,043,609,094,269,281,531,083,404,074,116,165,645,035,654,924,550,498,
376,797,963,039,047,915,954,569,280,659,058,190,046,139,151,230,688,169,535,
764,500,760,859,962,605,897,580,081,069,147,101,669,967,697,684,687,009,847,
047,866,834,900,801,255,191,649,403,822,280,819,408,266,598,459,512,974,908,
055,211,531,579,945,143,439,923,885,835,710,239,132,365,830,765,649,988,626,
522,446,996,955,814,735,035,406,177,449,893,174,838,003,719,729,853,717,993,
950,800,893,423,206,883,812,024,945,077,278,010,885,641,843,836,347,877,652,
098,658,734,487,581,809,131,116,640,355,267,141,597,370,790,709,005,230,614,
397,051,580,364,830,015,935,155,524,291,991,312,045,943,137,985,106,307,608,
138,744,361,111,833,105,166,921,486,724,230,353,377,307,856,092,700,302,700,
728,944,589,792,060,431,352,427,409,038,171,955,634,739,969,108,826,030,806,
863,614,907,195,316,516,878,956,539,285,562,011,190,947,345,567,564,093,806,
519,732,194,729,728,785,683,926,989,784,906,802,879,352,335,879,008,991,918,
458,209,776,449,520,624,656,608,338,540,592,773,524,044,188,250,343,773,220,
637,558,123,503,852,398,256,938,369,220,016,786,581,351,557,542,634,147,316,
809,099,090,344,837,695,497,531,940,970,046,121,163,660,135,017,209,390,887,
956,259,662,135,855,061,581,047,235,123,297,226,014,953,099,809,315,802,419,
244,669,133,420,874,670,045,798,306,785,543,393,765,253,614,061,460,349,556,
541,628,420,843,848,348,585,645,515,798,671,321,100,430,543,452,442,851,284,
337,199,836,385,328,071,183,855,686,791,131,892,500,333,424,139,108,789,290,
757,479,879,974,770,574,205,223,969,795,533,444,487,446,483,641,613,135,036,
730,084,609,951,093,501,182,154,597,533,235,321,289,446,835,761,584,966,055,
775,388,663,303,808,612,246,173,095,228,694,396,086,764,555,906,124,050,539,
388,342,416,531,846,921,725,672,278,604,046,490,063,613,472,646,664,970,239,
596,929,411,128,981,660,245,369,287,817,701,640,717,803,074,374,276,099,315,
700,409,059,275,082,937,449,590,996,895,602,473,292,881,671,419,209,117,530,
784,972,313,858,467,182,939,867,240,297,597,468,935,360,381,738,741,990,647,
255,974,260,503,963,272,427,633,406,167,333,565,307,717,462,201,787,037,309,
685,903,124,036,472,688,305,954,045,581,995,852,180,425,053,987,566,681,452,
481,519,080,008,820,308,312,579,584,201,359,175,610,110,437,274,697,021,584,
499,355,607,232,187,483,297,902,832,431,221,959,598,261,641,303,328,372,162,
629,348,291,823,975,639,532,158,809,174,838,930,934,572,055,078,335,446,350,
867,864,757,362,605,486,884,598,082,407,589,676,633,034,145,288,074,729,161,
894,478,471,553,877,570,453,997,088,551,138,304,246,598,729,943,436,589,094,
085,455,584,837,505,023,090,594,992,555,255,341,308,830,923,413,066,926,069,
149,027,800,373,376,560,253,078,709,567,834,854,032,800,620,757,440,157,519,
608,458,644,429,303,659,317,336,510,605,830,197,066,106,477,708,575,862,361,
039,795,675,518,608,822,401,389,353,401,537,267,423,233,529,112,418,473,881,
099,209,096,779,346,071,682,889,930,386,298,016,564,336,990,379,568,190,084,
540,941,438,672,433,853,351,474,180,615,211,083,433,181,043,985,912,921,845,
526,200,135,293,516,500,557,017,213,740,627,025,255,686,723,521,720,251,750,
466,427,943,985,202,840,663,753,628,922,675,651,975,428,305,778,820,104,628,
751,612,040,559,526,737,655,648,971,473,925,825,907,505,475,340,733,628,626,
539,350,554,666,593,132,569,897,178,680,367,265,392,833,092,880,775,801,714,
286,471,093,369,895,445,063,958,322,412,240,950,089,594,770,521,989,494,056,
979,410,587,735,107,106,811,192,087,930,847,866,017,044,005,641,929,675,419,
480,187,451,322,941,207,148,319,882,666,864,315,035,557,281,332,774,949,440,
524,957,993,906,276,131,690,835,039,391,883,917,367,953,189,940,953,912,713,
513,322,190,680,162,211,483,705,651,919,164,090,672,510,194,433,707,305,584,
012,675,062,624,193,872,612,526,802,770,825,029,264,170,401,791,426,822,600,
900,671,193,596,365,477,264,147,376,411,539,632,981,248,937,990,396,869,565,
093,763,682,316,806,750,727,751,569,387,816,523,616,077,221,174,376,625,223,
921,378,329,258,138,248,104,379,875,542,831,775,338,642,329,373,808,777,437,
799,702,012,882,828,974,100,965,751,439,454,847,844,518,120,577,811,814,890,
769,053,797,977,195,831,592,892,364,746,113,762,617,340,323,407,070,394,475,
023,421,114,647,446,623,908,528,798,831,378,544,335,517,984,215,729,442,345,
659,549,072,899,810,533,990,320,503,673,053,959,788,653,933,226,435,410,368,
848,376,138,985,389,984,971,201,129,803,581,954,408,306,739,160,912,703,048,
975,422,786,393,857,333,078,843,924,990,110,972,571,400,093,822,930,156,725,
529,777,670,973,984,860,650,946,248,903,106,105,573,205,801,396,421,130,917,
871,354,641,406,788,105,247,021,383,798,262,298,147,867,136,829,133,592,093,
675,099,123,184,558,465,077,031,573,484,337,746,708,111,719,366,795,444,853,
042,143,195,368,134,310,103,259,771,763,459,885,402,972,323,689,668,877,042,
231,133,144,685,116,935,658,665,942,247,631,919,427,349,167,214,123,822,078,
788,670,501,376,159,949,592,791,194,523,030,883,380,192,289,397,894,102,604,
540,027,772,080,190,463,798,369,523,116,057,616,132,372,293,248,068,314,496,
941,802,599,939,075,246,223,343,851,111,001,059,644,460,058,617,070,597,241,
796,471,364,220,231,072,137,365,198,083,150,948,707,797,496,853,225,267,633,
833,606,390,426,115,419,300,438,229,140,459,392,476,761,508,547,559,251,806,
160,537,265,854,534,714,675,706,541,532,167,151,499,029,686,237,814,525,948,
224,166,613,081,057,669,087,385,472,181,260,129,964,114,480,350,511,424,515,
836,806,063,825,995,190,335,598,157,913,766,705,358,419,934,082,015,272,719,
843,082,554,837,145,639,142,629,855,334,941,015,023,054,352,202,656,383,083,
349,578,280,879,349,176,525,513,444,394,152,685,758,583,953,465,554,592,853,
030,758,952,033,148,667,578,508,204,959,553,162,903,673,497,116,906,364,074,
574,276,433,006,501,021,083,706,979,418,749,495,270,522,780,591,320,455,863,
752,454,158,877,142,739,180,712,026,290,072,445,332,663,996,663,874,385,448,
441,227,359,234,759,970,242,551,488,772,592,255,993,390,483,267,265,207,388,
415,607,957,691,439,733,446,986,110,028,871,145,507,507,521,413,151,198,979,
661,698,456,960,956,670,225,905,135,533,807,053,669,686,722,796,612,832,357,
331,576,305,221,461,951,557,406,121,225,050,901,769,202,753,955,305,349,948,
764,769,798,225,766,185,858,909,928,700,676,691,683,559,670,182,167,509,998,
482,194,525,800,214,325,372,623,756,805,469,065,509,707,051,672,531,858,050,
953,797,897,298,251,962,247,432,590,310,725,407,699,357,068,922,912,874,232,
053,268,179,660,706,919,433,487,046,862,847,396,451,469,111,269,913,740,989,
706,886,273,271,312,422,197,021,714,735,650,886,263,450,824,227,110,202,964,
092,011,925,217,450,945,544,847,464,338,848,727,590,811,198,148,275,257,262,
165,384,870,627,363,630,972,457,477,070,598,026,128,906,718,689,241,267,785,
121,242,451,358,877,487,959,256,034,903,722,878,899,300,160,554,858,703,231,
792,520,971,051,909,900,631,784,596,651,344,484,325,802,375,922,027,084,798,
262,607,066,295,302,594,088,633,980,277,514,223,611,503,196,153,243,799,026,
319,632,477,801,311,572,285,903,017,532,811,603,435,598,582,771,262,591,176,
705,394,917,172,550,863,091,749,619,786,269,853,542,267,245,058,361,613,469,
120,468,755,592,570,503,786,167,418,917,140,696,329,528,889,441,811,809,699,
988,060,220,041,516,654,345,971,477,689,746,155,207,373,783,284,460,458,983,
431,479,116,509,764,677,248,115,229,689,201,015,883,570,873,888,787,729,314,
771,489,566,465,094,870,684,951,519,993,420,301,201,972,936,786,819,940,340,
766,866,636,251,445,201,089,198,968,115,764,611,937,544,251,882,525,277,341,
062,766,786,925,132,420,144,629,456,093,049,274,674,302,564,109,392,182,579,
279,754,519,947,609,199,977,755,606,942,764,694,610,502,368,350,234,814,280,
883,971,495,781,483,584,887,490,694,952,174,741,686,848,980,263,799,609,830,
334,543,608,352,373,339,968,240,828,358,181,282,798,057,000,688,526,032,765,
998,990,543,376,377,639,936,227,699,926,530,925,371,125,820,590,512,606,118,
542,836,359,389,215,299,348,864,850,872,303,490,169,252,111,077,683,909,075,
110,694,219,412,843,580,985,007,478,081,899,250,886,362,970,959,107,571,275,
662,105,110,033,343,053,728,081,948,185,002,064,284,091,663,974,957,481,409,
643,478,428,430,251,628,317,786,019,728,521,496,889,870,210,368,916,276,629,
984,424,795,606,000,830,892,026,588,850,880,827,432,624,614,345,950,618,827,
952,190,533,651,015,487,354,941,415,465,291,403,312,034,103,702,244,729,776,
160,735,523,385,036,173,181,044,602,279,655,429,099,419,529,857,140,730,205,
076,403,831,253,808,557,309,697,556,563,488,786,855,644,998,238,408,729,287,
359,684,543,436,967,521,061,572,929,904,804,491,214,256,983,129,117,878,602,
867,131,589,371,192,305,043,600,900,276,550,645,718,093,421,602,905,386,181,
195,897,413,248,697,602,442,927,704,535,831,789,064,264,871,603,658,514,661,
194,591,752,995,666,476,202,497,683,407,121,279,777,268,714,245,079,232,428,
716,072,239,289,516,457,886,106,621,567,664,691,794,834,103,786,687,898,978,
079,005,714,796,382,971,179,524,342,230,761,357,020,444,739,369,584,858,928,
663,761,288,421,808,307,300,772,024,442,256,334,960,709,969,882,058,211,062,
006,689,645,062,076,368,305,902,718,453,487,144,245,546,579,791,171,659,147,
429,056,060,007,521,641,353,725,570,452,143,962,520,465,160,717,143,591,353,
496,755,708,489,399,670,268,058,018,063,082,900,373,301,062,166,835,041,423,
035,551,885,752,490,581,670,515,375,800,533,339,038,161,422,961,658,607,048,
091,200,273,329,072,047,805,572,650,046,819,792,449,876,004,117,398,609,070,
181,418,408,241,760,107,404,320,531,861,409,033,568,362,267,511,205,757,263,
933,300,833,167,107,735,182,832,481,140,259,654,507,935,638,357,266,687,819,
821,581,186,556,331,360,854,087,454,202,592,938,342,487,282,397,273,152,218,
292,471,663,927,422,578,631,956,239,724,591,001,403,135,128,806,995,332,990,
892,618,859,282,027,181,432,862,985,686,392,364,872,511,898,484,563,525,884,
647,202,605,569,501,892,106,642,652,114,037,138,408,323,008,927,040,819,461,
306,356,776,684,505,454,799,066,563,394,706,269,132,178,734,697,751,384,095,
738,216,477,485,946,733,215,736,911,067,508,953,394,404,397,062,806,876,516,
754,900,391,641,727,484,461,719,022,926,087,264,583,859,465,176,709,261,359,
370,418,061,483,913,725,801,599,955,845,489,520,447,842,879,044,341,123,841,
959,563,632,246,195,971,551,534,507,676,183,339,060,947,277,293,481,568,691,
175,521,171,804,369,449,549,418,081,634,830,022,414,720,548,045,832,485,707,
003,086,597,020,780,748,360,697,543,993,147,993,214,185,445,236,618,867,695,
762,688,042,753,693,020,589,840,994,340,797,754,719,356,544,188,947,829,800,
549,811,258,904,561,040,453,035,433,908,863,384,369,239,294,993,212,721,188,
057,543,509,421,559,344,841,452,321,791,605,311,949,232,912,770,833,974,209,
376,190,168,317,842,501,988,212,228,801,350,318,968,514,574,090,464,083,031,
402,979,009,554,018,942,653,516,169,987,785,461,166,019,780,915,725,550,920,
590,819,548,773,068,780,737,678,497,108,131,693,220,125,369,326,360,657,666,
174,304,929,970,982,536,124,055,270,685,533,383,340,012,008,908,376,990,541,
622,584,683,421,107,801,834,255,752,177,123,241,499,550,425,555,107,264,877,
744,171,667,880,683,690,988,291,734,274,581,329,667,760,091,152,591,465,718,
778,310,242,141,474,859,164,940,349,507,176,282,100,993,485,951,889,031,105,
406,734,516,881,662,441,984,513,123,382,114,246,545,067,720,855,911,838,670,
593,653,113,482,854,618,769,729,447,378,588,445,394,865,865,281,754,042,771,
531,992,886,527,702,010,749,982,967,491,616,594,092,973,176,359,184,241,103,
679,521,820,391,661,671,500,252,619,763,247,434,818,562,897,998,825,918,854,
349,637,490,383,300,619,188,634,043,073,927,146,182,540,666,072,562,527,513,
930,479,140,356,339,809,621,469,636,111,100,557,130,698,035,978,440,302,269,
072,063,823,352,698,563,475,551,469,781,450,345,810,673,661,714,881,578,359,
962,559,821,404,102,123,372,103,425,219,904,580,422,604,295,165,727,065,564,
945,435,638,625,724,762,859,571,389,119,603,043,026,906,910,415,737,747,404,
996,443,518,870,214,008,382,399,572,715,494,702,553,359,062,525,246,327,120,
563,040,329,090,760,986,621,201,209,627,429,737,448,365,590,262,457,641,257,
689,146,321,118,109,189,265,366,687,199,963,295,967,182,623,182,779,543,823,
375,076,170,323,532,143,308,638,909,291,983,980,151,090,646,754,591,067,113,
749,024,819,223,457,490,429,392,262,929,868,213,760,339,463,409,579,168,699,
836,918,344,714,826,741,297,050,639,798,575,209,968,744,564,722,634,508,622,
944,724,579,307,467,099,966,978,754,729,928,267,903,239,383,880,098,442,574,
918,799,767,222,329,256,477,046,387,782,839,000,681,884,609,956,475,824,572,
319,097,939,603,893,200,428,089,799,353,121,588,540,781,348,374,707,329,196,
021,325,465,670,753,890,503,091,920,839,524,065,184,532,281,699,712,049,925,
322,078,846,316,631,346,972,583,696,855,819,935,993,465,327,997,089,618,204,
214,430,707,767,596,656,346,180,593,180,630,161,135,416,430,404,137,904,342,
003,959,787,624,591,447,156,829,716,481,603,279,548,211,136,102,663,519,937,
328,057,722,043,454,383,565,282,830,508,458,248,476,065,014,830,837,553,752,
244,900,333,952,067,859,368,558,985,009,373,760,273,586,542,804,908,944,294,
933,030,759,395,944,971,758,713,412,848,132,488,844,589,485,387,678,612,045,
557,492,562,880,851,836,325,432,164,466,284,461,005,900,965,914,588,656,866,
865,973,498,912,809,194,713,108,855,847,523,985,257,180,528,423,982,999,933,
059,997,495,279,455,171,592,494,550,868,101,474,013,309,832,218,991,671,145,
080,865,823,882,216,621,760,356,828,349,558,767,143,888,163,648,466,514,585,
559,877,469,524,490,009,733,057,475,389,037,659,254,109,493,119,174,942,042,
476,243,444,883,240,510,008,929,874,232,810,197,922,066,327,921,405,103,942,
287,478,820,478,705,272,176,207,801,953,630,413,450,886,145,162,625,355,520,
961,384,331,220,158,905,400,449,514,620,983,331,219,224,157,658,435,931,107,
152,069,548,501,304,339,760,836,686,460,439,441,598,157,346,894,777,473,363,
978,949,701,279,717,457,304,911,763,732,531,683,717,265,748,508,533,425,936,
119,052,299,209,360,591,069,391,499,317,974,427,584,691,533,550,838,196,024,
446,962,568,787,395,208,124,013,890,911,762,536,225,677,133,649,688,542,260,
299,581,859,546,372,108,143,541,701,249,405,481,469,549,224,501,878,691,653,
030,884,101,084,142,845,312,798,287,181,052,976,766,504,935,210,991,116,365,
946,084,012,676,101,798,775,652,761,393,123,957,774,246,521,307,993,731,004,
780,009,533,126,619,881,043,373,194,787,754,162,341,335,989,949,841,466,358,
231,932,781,892,419,821,120,688,566,615,743,570,858,703,972,117,757,575,202,
488,477,806,011,502,831,433,095,595,775,051,429,796,280,083,879,609,075,753,
694,850,188,434,395,335,197,569,155,506,636,013,913,789,049,865,989,856,371,
493,572,209,025,295,712,651,974,858,934,854,704,549,414,370,710,608,339,218,
887,486,108,999,439,822,611,371,117,260,246,811,870,943,922,360,575,592,232,
128,587,893,465,993,393,010,350,436,522,292,025,041,312,970,797,842,295,213,
466,071,476,696,009,457,885,836,997,938,319,569,947,253,500,817,798,641,481,
073,523,448,627,779,050,359,585,391,451,863,214,625,738,920,119,290,263,838,
569,945,697,897,799,188,756,867,796,534,704,130,922,233,070,442,506,485,238,
094,704,681,898,207,515,865,824,327,301,281,466,940,126,291,212,930,230,208,
239,710,916,442,233,269,026,658,165,618,649,128,040,022,011,289,560,366,185,
630,616,939,561,071,718,749,358,182,270,143,557,815,255,427,097,331,832,456,
738,135,603,880,680,454,226,641,511,006,702,430,376,632,600,135,235,860,147,
861,585,685,736,807,185,554,663,468,963,447,914,188,092,628,937,108,171,568,
187,523,571,007,489,533,961,872,149,437,333,033,166,758,997,010,931,890,085,
183,832,670,889,165,773,614,405,377,216,162,250,224,017,763,304,501,932,988,
139,342,670,716,683,464,656,584,160,918,003,694,641,926,309,614,967,828,058,
591,496,091,167,493,269,821,269,745,161,798,155,634,418,943,280,224,824,383,
532,239,501,629,753,533,188,235,785,095,194,657,140,044,092,369,169,723,567,
981,078,649,302,998,808,936,591,894,303,026,916,208,449,534,961,030,858,590,
068,967,596,348,384,047,771,902,411,528,640,317,761,047,409,882,133,383,864,
842,962,990,175,174,320,296,466,784,476,511,145,145,814,191,140,460,346,762,
539,122,359,835,833,385,994,102,993,775,363,621,459,611,395,064,570,810,540,
037,119,018,442,175,654,390,514,082,183,041,412,266,169,729,598,335,388,338,
114,625,804,204,305,633,447,254,881,844,330,466,957,938,978,406,344,928,510,
888,441,231,434,840,246,762,684,074,530,876,759,335,159,322,175,168,958,435,
429,165,049,630,237,155,500,688,497,115,225,565,308,730,772,719,414,844,181,
845,680,459,764,007,335,231,185,510,722,717,678,998,547,341,231,733,227,029,
782,044,850,214,196,693,246,003,350,495,754,670,840,689,141,686,634,837,724,
605,173,948,436,330,999,817,727,429,276,470,054,091,123,264,779,406,320,881,
069,555,324,544,025,453,263,953,787,295,561,732,262,142,888,246,717,881,956,
407,779,001,492,834,603,181,657,029,560,222,300,691,469,013,032,182,866,092,
316,911,716,752,738,547,471,125,394,187,763,904,892,285,588,457,371,163,135,
906,498,347,357,882,583,050,045,581,705,376,632,383,465,914,038,272,253,040,
085,653,937,086,265,405,370,663,528,476,223,011,858,686,253,033,367,727,694,
802,319,080,016,216,359,698,320,033,170,756,653,975,170,083,677,331,093,730,
693,545,411,959,310,032,845,087,994,940,785,638,944,101,595,370,673,455,370,
934,258,227,191,232,759,828,167,715,639,011,550,124,683,166,964,267,619,170,
300,992,048,085,304,277,783,722,565,446,683,843,326,719,843,106,526,082,176,
752,210,468,021,435,129,443,542,901,712,924,712,737,642,156,182,462,630,986,
120,239,049,008,949,917,387,307,691,657,333,797,453,064,637,612,282,670,047,
355,953,840,842,561,765,323,199,128,335,101,818,430,319,455,928,658,424,731,
739,030,836,723,622,931,044,701,497,626,538,504,882,032,676,370,016,650,939,
486,699,237,822,786,073,352,721,065,506,497,547,734,512,299,041,827,483,815,
844,830,692,597,285,674,936,047,969,438,055,649,076,740,919,282,268,789,989,
650,366,205,863,293,310,741,951,635,097,045,988,532,774,713,394,189,010,447,
590,739,419,480,222,902,149,180,080,814,322,393,859,800,471,340,520,065,141,
706,518,678,675,261,766,136,793,069,393,733,093,969,078,456,811,728,268,287,
463,981,988,405,577,457,565,218,798,149,739,865,752,633,514,548,441,188,715,
334,631,787,401,542,312,154,907,646,667,061,783,864,795,444,252,502,350,807,
405,540,639,419,022,776,807,005,864,975,404,629,483,420,329,341,693,310,085,
772,277,871,595,401,782,742,302,148,517,378,305,778,571,446,966,873,141,009,
799,597,750,273,855,390,002,787,906,859,038,349,328,571,296,118,949,182,273,
795,229,350,558,862,160,603,827,812,402,134,601,958,359,695,615,551,444,283,
396,922,987,649,612,723,730,316,313,001,962,573,703,164,714,191,607,153,833,
827,232,184,525,123,047,868,200,518,450,455,277,046,654,619,092,825,148,178,
962,413,787,737,623,005,293,415,755,887,389,840,791,582,850,605,642,520,847,
693,520,319,926,091,540,520,345,662,843,179,845,656,598,406,390,478,930,877,
880,157,300,378,946,923,856,685,892,085,402,098,791,895,944,684,647,659,023,
269,162,457,187,733,353,757,563,052,665,550,857,315,881,881,284,538,194,839,
689,943,346,193,211,332,095,630,597,382,232,467,965,539,746,688,697,269,497,
219,503,063,288,023,116,120,410,752,647,791,880,521,297,249,262,023,067,616,
649,198,782,544,757,117,734,418,918,165,234,178,376,380,548,981,530,905,269,
807,058,461,441,189,966,599,326,629,844,841,027,930,029,735,058,750,741,549,
931,166,360,409,228,470,928,871,659,751,413,698,581,591,698,439,876,184,728,
692,312,639,199,585,368,920,154,935,743,322,928,560,522,425,856,136,854,508,
033,592,411,390,585,568,807,865,862,867,416,898,557,056,070,798,313,992,787,
414,530,419,042,492,318,675,154,090,005,556,550,878,774,912,490,879,862,020,
852,046,379,596,874,533,079,582,103,754,883,653,957,608,388,432,770,732,391,
668,342,472,437,414,855,699,895,099,673,018,750,327,701,937,319,085,697,195,
984,690,258,296,324,145,882,560,438,934,246,974,909,351,031,841,122,016,179,
188,086,749,616,363,446,711,266,048,209,807,474,721,238,927,122,467,520,397,
044,564,106,647,767,606,702,145,812,469,976,229,910,955,189,962,554,093,659,
967,680,994,363,026,219,988,607,661,326,395,955,299,736,577,715,047,721,507,
302,282,082,219,304,564,248,642,022,783,651,918,160,999,087,912,973,464,632,
427,562,994,277,180,123,848,789,684,275,012,753,110,826,630,065,528,340,272,
289,875,971,066,028,057,487,182,952,930,814,641,218,753,457,030,743,815,076,
990,130,756,653,005,813,320,228,493,309,553,138,952,086,406,113,724,877,093,
290,839,975,710,123,048,851,100,772,177,139,932,316,036,551,158,676,119,947,
096,687,822,037,314,595,306,536,318,214,376,339,536,811,857,611,438,604,499,
843,922,666,610,555,997,936,719,530,098,837,814,275,550,660,831,702,497,333,
030,253,793,276,937,058,759,449,093,203,765,053,970,022,492,250,087,061,738,
976,394,153,058,255,895,631,029,561,988,551,373,367,872,534,484,806,193,940,
669,647,480,525,979,794,679,664,241,203,749,516,130,172,341,004,676,579,702,
880,501,429,258,171,586,686,671,504,650,797,987,769,003,455,226,816,420,532,
171,407,901,835,339,089,237,322,574,588,973,922,072,947,372,946,988,337,525,
047,676,161,689,856,567,296,268,686,113,270,498,286,165,962,950,534,139,574,
910,315,033,017,437,282,110,172,242,513,901,678,569,605,527,577,309,793,628,
217,559,064,929,520,483,970,885,173,746,424,394,188,726,297,817,654,151,686,
099,187,379,943,525,953,311,865,817,025,210,086,608,296,171,671,082,486,838,
655,460,680,749,646,339,884,350,813,074,974,148,678,010,824,469,930,904,821,
292,855,895,050,695,523,615,674,459,101,249,444,704,849,143,441,486,087,165,
368,125,334,317,766,811,217,625,198,949,647,745,437,443,997,310,154,435,706,
734,234,264,379,503,847,872,706,618,357,731,747,452,588,481,373,860,111,032,
017,413,255,674,733,359,827,244,554,260,638,066,641,308,070,768,357,556,277,
462,981,560,530,262,606,102,914,874,533,891,234,654,752,977,307,119,765,208,
783,303,600,295,415,819,192,768,602,953,385,639,714,224,933,538,150,785,023,
914,823,161,564,576,083,073,740,897,488,522,563,100,907,879,849,840,650,759,
322,026,043,967,423,592,085,430,120,006,371,213,760,350,810,627,019,771,918,
161,709,561,020,541,917,381,624,248,878,751,287,601,368,939,430,969,704,689,
918,175,399,900,020,114,075,397,893,201,115,839,020,433,076,342,816,123,146,
745,793,191,344,751,562,342,616,515,762,021,732,135,046,312,148,037,571,351,
545,986,820,671,494,670,431,718,857,351,937,602,291,273,202,487,704,830,544,
869,457,449,282,903,222,439,800,828,837,704,942,052,567,731,630,917,096,738,
849,132,824,054,056,849,651,946,421,868,302,060,736,984,867,614,255,877,626,
429,098,601,545,411,677,371,789,643,689,154,388,980,663,400,262,848,894,283,
263,185,302,342,961,994,276,000,400,150,763,083,450,495,857,319,861,255,265,
221,286,961,680,009,307,755,013,306,000,379,009,753,488,504,872,559,653,315,
781,771,405,267,532,249,939,010,845,898,659,320,899,866,263,133,500,590,346,
155,915,552,348,555,618,745,290,470,089,415,870,452,447,602,416,304,990,490,
517,998,334,133,057,552,142,730,372,979,595,231,526,824,902,915,530,491,301,
636,813,597,618,322,445,699,899,799,577,478,620,726,033,333,442,171,767,349,
972,914,944,785,552,630,748,878,040,019,160,459,913,656,556,534,340,368,155,
769,136,188,784,789,213,944,013,260,056,212,689,325,264,364,089,553,455,294,
004,272,335,182,973,943,460,558,843,786,868,150,493,972,186,032,027,612,883,
201,794,259,178,647,996,440,954,571,953,275,361,130,234,401,042,839,173,547,
410,933,197,046,569,827,286,640,661,815,328,907,080,081,422,519,358,021,350,
730,960,337,321,142,307,388,922,566,010,096,338,709,086,182,450,526,105,191,
964,844,893,092,882,597,258,486,049,174,652,989,215,088,873,233,539,252,483,
831,987,256,144,423,003,333,797,025,570,713,890,502,899,202,158,075,143,585,
273,166,788,022,835,301,577,332,816,233,932,299,679,165,109,494,777,465,239,
668,204,917,678,563,496,706,040,710,976,319,852,834,388,233,957,024,270,961,
443,947,164,484,887,696,759,882,843,221,242,232,879,133,274,765,002,601,316,
932,897,676,807,704,185,406,745,358,989,567,850,649,627,194,516,778,650,467,
087,565,756,402,863,368,541,148,372,305,123,323,899,634,396,455,190,009,552,
889,868,030,090,568,414,250,325,034,065,046,648,574,696,040,562,030,091,193,
331,556,239,562,334,610,695,742,650,390,652,302,355,943,869,775,873,617,765,
494,056,561,953,626,156,638,922,264,458,441,152,004,866,259,587,920,585,969,
035,250,279,883,980,113,298,627,987,521,105,963,927,644,845,130,034,256,621,
594,287,537,027,903,200,269,181,203,959,827,731,309,130,273,563,853,115,057,
420,057,735,457,018,787,107,135,123,883,390,005,998,718,304,474,057,685,648,
823,811,906,273,904,270,602,837,933,570,674,094,119,335,108,657,576,774,853,
792,343,751,724,948,950,666,265,337,531,996,624,719,210,089,552,809,810,510,
703,764,061,479,046,668,839,924,744,356,205,161,167,160,815,992,478,522,946,
936,366,535,985,980,647,131,897,950,208,844,519,204,000,061,442,877,714,515,
667,827,304,971,180,242,739,676,198,181,022,457,632,227,485,717,497,661,773,
377,381,220,969,805,471,259,117,029,420,358,680,150,577,601,387,269,982,928,
085,041,515,437,527,685,845,282,780,909,937,949,118,613,302,908,026,778,815,
310,686,709,191,050,298,668,715,542,349,541,108,599,776,590,489,410,623,817,
289,669,680,762,209,800,222,578,220,869,245,835,670,373,812,636,122,372,893,
343,452,833,284,677,758,208,921,046,201,387,155,138,984,084,687,560,922,216,
059,360,081,029,984,471,443,912,339,013,393,526,527,870,033,888,766,520,153,
943,840,979,628,681,880,613,802,694,989,395,903,503,965,130,617,910,004,335,
668,564,991,494,527,545,673,760,216,046,331,293,867,865,588,043,908,577,127,
141,869,511,317,550,479,871,387,104,871,377,358,574,991,056,650,892,730,717,
005,075,308,805,161,962,778,216,331,486,322,502,586,914,895,821,753,444,191,
141,380,782,820,259,215,611,915,884,743,860,567,355,383,597,309,870,128,751,
630,288,853,395,056,181,108,836,549,385,592,324,561,799,331,905,650,713,253,
235,488,876,984,799,841,611,405,579,446,399,690,343,505,567,913,451,141,535,
713,671,573,350,700,492,592,776,636,363,463,537,589,507,530,917,425,444,912,
887,106,277,902,444,423,670,314,173,723,435,656,222,739,139,497,594,639,876,
107,996,505,127,004,136,302,503,976,846,354,355,734,492,419,749,072,473,153,
099,850,815,832,550,852,556,289,820,571,696,447,339,668,581,533,754,927,598,
019,589,501,631,676,277,995,874,594,348,391,345,607,401,857,591,928,031,542,
407,416,688,183,343,533,539,837,594,464,104,358,802,141,284,434,780,250,281,
018,062,556,328,851,976,750,137,293,290,674,696,731,081,037,344,751,716,831,
770,663,104,266,442,910,890,190,540,625,622,541,282,824,194,067,226,816,332,
679,446,786,623,580,122,683,003,771,155,019,719,265,125,568,046,999,963,132,
467,086,516,252,183,504,376,084,085,072,545,394,937,427,166,407,529,624,419,
930,608,461,505,242,210,402,324,872,870,078,849,822,467,505,654,955,577,101,
932,922,388,707,004,907,069,007,288,004,065,618,895,258,698,347,647,069,936,
271,332,760,287,570,355,405,628,861,142,363,114,907,828,805,097,746,634,515,
912,124,040,387,700,092,075,864,147,486,076,745,282,688,423,975,900,322,267,
264,705,446,932,730,486,696,345,944,789,678,569,810,855,347,494,661,973,207,
134,262,075,393,259,205,633,796,167,339,086,857,358,937,580,714,037,071,638,
803,322,794,493,487,542,364,498,306,269,800,478,629,435,910,654,709,869,815,
267,385,878,529,400,736,826,949,704,298,143,933,864,298,100,166,399,825,465,
546,846,799,729,341,529,064,301,043,089,255,636,984,341,406,556,172,333,462,
011,521,247,820,131,913,800,666,564,851,463,516,134,947,233,394,859,389,635,
612,226,217,789,465,665,443,311,321,227,990,015,333,072,713,541,929,469,931,
699,144,904,117,254,267,416,273,950,306,436,556,059,939,792,984,502,486,594,
079,942,303,431,479,988,303,698,388,450,666,600,263,100,495,197,017,844,833,
686,723,889,490,220,544,060,369,127,264,102,240,647,614,866,776,591,337,107,
610,987,163,230,802,184,034,797,316,825,950,468,759,148,357,478,717,954,946,
553,485,576,018,577,253,640,297,406,410,368,394,619,251,146,734,562,761,068,
601,933,424,447,984,708,954,846,967,683,003,943,572,471,282,875,366,059,692,
993,639,495,171,802,610,597,249,288,617,425,547,621,939,695,590,570,343,095,
341,088,721,868,338,563,332,034,228,885,185,818,578,835,536,310,825,237,125,
248,527,400,337,117,179,311,689,516,355,281,786,990,247,095,131,368,875,525,
353,433,208,569,063,653,419,352,498,422,086,030,632,855,695,114,403,600,219,
079,153,595,034,606,942,009,595,381,784,551,362,405,180,514,603,914,486,126,
618,212,606,814,844,747,899,212,250,839,656,053,247,581,073,188,335,740,804,
697,041,823,609,068,068,229,406,771,516,532,438,769,346,180,751,496,932,958,
272,860,227,295,975,836,637,524,884,735,132,610,530,573,521,154,010,320,962,
254,098,505,562,901,788,817,005,188,108,870,425,532,396,484,550,350,451,810,
754,177,285,582,902,946,159,160,496,154,927,252,592,358,543,003,220,554,376,
611,070,567,723,736,606,617,232,900,387,058,441,055,893,626,253,558,675,770,
651,849,930,334,343,400,989,518,210,109,357,675,461,759,215,620,155,730,572,
580,205,742,380,820,356,807,727,590,426,706,806,886,929,436,339,694,389,002,
172,120,798,360,227,576,187,445,842,938,815,310,535,757,332,402,643,804,101,
748,798,202,762,637,003,882,690,153,536,487,769,879,434,696,085,424,051,902,
854,970,773,193,516,321,901,329,116,791,454,483,083,154,404,127,744,565,775,
758,503,663,225,110,712,912,293,673,708,110,696,479,872,234,244,924,489,380,
346,528,022,268,063,859,440,236,437,079,198,265,095,350,363,364,260,940,425,
467,690,820,030,007,152,919,410,417,609,432,737,868,544,814,576,846,462,012,
362,803,276,009,451,969,614,864,686,627,186,072,844,496,438,023,212,447,829,
999,272,576,640,723,268,309,120,530,105,899,229,229,617,347,858,815,544,466,
825,220,194,663,810,820,915,261,875,014,791,889,382,608,398,075,686,978,848,
369,399,536,324,387,325,867,696,341,098,979,974,550,516,515,142,535,924,500,
583,023,310,182,118,088,541,085,958,114,339,558,378,795,547,447,187,494,352,
576,143,623,157,801,816,185,094,677,587,582,399,060,666,605,744,535,298,250,
200,924,217,596,361,913,787,132,389,229,884,554,608,149,394,448,031,240,257,
392,630,054,918,209,181,310,068,389,924,859,356,641,232,453,774,785,575,159,
305,805,943,776,008,301,367,843,373,750,954,772,486,959,988,486,422,073,045,
224,279,621,382,323,082,382,202,453,235,925,026,648,195,515,657,677,236,992,
361,764,465,241,573,674,380,678,983,352,582,772,523,206,094,190,764,654,202,
203,940,669,084,269,454,579,338,859,853,681,965,288,784,789,336,633,698,633,
898,511,902,389,872,568,278,790,027,513,018,637,851,153,609,672,653,931,815,
473,034,370,961,570,306,490,896,033,253,214,117,023,702,954,037,879,910,984,
034,107,039,253,228,405,518,955,435,314,795,984,487,222,116,260,471,093,034,
863,601,318,832,424,154,742,101,334,792,615,019,884,678,535,488,950,901,068,
220,970,732,290,512,891,681,496,043,464,269,534,110,926,957,199,102,875,292,
358,319,532,943,924,369,314,377,905,109,790,133,882,182,013,050,560,045,669,
598,909,360,448,499,587,019,978,757,536,366,134,960,144,258,601,463,159,824,
412,976,321,910,647,537,589,003,265,483,171,334,334,364,856,707,691,597,678,
140,917,115,207,235,880,072,200,933,140,267,384,167,283,729,350,107,617,873,
138,670,273,087,984,306,954,439,058,981,404,545,594,344,457,367,313,596,655,
919,287,730,292,923,258,968,797,299,330,371,199,168,993,744,947,676,638,163,
724,306,291,002,174,844,335,816,119,055,078,915,928,649,956,109,953,323,190,
697,072,941,653,118,730,347,855,299,263,538,395,003,063,588,414,556,394,790,
772,835,304,510,044,283,766,404,099,893,296,505,110,754,541,313,199,170,409,
388,169,190,432,472,006,235,857,397,553,603,470,553,899,063,705,784,361,327,
392,110,108,614,609,477,257,801,983,474,895,922,972,238,318,205,011,370,609,
034,782,495,735,764,582,895,863,410,753,237,430,386,734,182,679,589,011,585,
439,214,939,646,969,233,979,084,387,877,346,186,028,045,026,140,126,315,049,
355,904,254,584,877,612,736,308,997,372,812,269,164,416,063,807,310,797,587,
057,101,580,183,728,796,155,581,021,913,431,861,101,751,695,443,408,429,362,
124,014,257,722,281,680,302,290,519,655,513,023,416,991,993,218,085,838,735,
981,588,016,594,163,857,887,934,745,773,295,007,883,085,288,369,856,483,953,
815,976,289,269,185,557,386,906,863,427,158,767,525,196,092,510,247,582,793,
391,034,545,558,614,499,078,327,642,481,324,670,919,273,433,872,160,056,804,
423,745,960,664,233,581,100,467,274,538,867,783,211,322,492,305,378,565,872,
109,870,135,683,705,197,860,735,571,468,988,789,967,914,531,608,684,381,384,
191,644,095,303,848,013,838,209,545,348,220,530,411,996,232,889,590,927,419,
209,757,768,128,772,928,020,223,634,126,587,799,327,653,935,188,549,185,955,
460,035,572,250,667,035,429,978,375,263,345,491,835,685,585,086,332,857,465,
162,787,465,126,107,829,723,187,119,118,989,001,660,631,081,820,612,084,168,
334,900,001,985,498,336,925,828,741,560,684,868,315,305,459,272,921,202,395,
685,897,683,854,568,994,251,051,052,033,322,436,900,420,029,923,929,472,478,
787,562,289,930,508,067,039,175,503,449,122,991,706,265,312,910,829,602,527,
973,720,486,983,818,757,086,284,649,403,057,434,781,499,498,257,391,458,271,
860,501,643,805,306,624,217,187,083,020,756,583,703,490,242,422,169,925,964,
796,537,674,632,484,022,345,617,887,987,510,140,898,399,813,147,560,924,814,
827,276,074,690,837,785,871,146,796,661,929,848,495,288,610,991,821,922,838,
263,429,113,452,710,249,927,741,574,752,507,543,560,188,260,337,329,717,215,
391,157,856,512,666,248,948,797,311,652,700,589,459,244,144,520,004,491,194,
830,296,579,830,061,268,267,091,278,024,811,630,274,588,888,570,949,312,878,
638,770,466,697,205,469,151,487,759,633,585,834,822,747,311,480,559,775,757,
599,908,159,143,843,694,887,797,711,043,903,681,634,929,204,660,211,846,527,
326,612,683,178,567,406,246,339,547,228,314,178,972,416,413,525,121,252,391,
572,911,332,117,396,456,403,755,316,333,094,477,277,858,087,653,746,166,388,
015,218,004,238,343,742,921,714,996,623,479,333,936,631,746,387,879,161,050,
465,359,690,761,145,236,164,983,504,244,199,667,563,738,416,360,496,071,366,
141,746,863,474,923,995,954,669,568,905,849,610,971,895,055,458,094,917,432,
745,775,325,507,879,757,279,595,156,191,313,466,659,780,028,830,633,233,496,
161,166,941,275,743,920,517,457,794,845,930,590,530,321,341,945,502,743,980,
640,151,983,202,881,426,912,693,668,504,258,968,848,048,452,049,984,481,558,
147,325,062,849,123,242,632,956,368,892,507,463,091,620,269,697,425,951,340,
509,056,687,524,055,819,340,767,678,029,337,152,869,749,958,234,560,522,131,
859,966,248,724,239,201,509,080,562,630,764,825,496,030,801,217,174,670,269,
602,776,891,098,100,643,704,281,274,692,449,141,673,283,796,353,520,996,424,
835,452,800,212,375,898,557,322,191,023,024,756,534,656,742,571,895,105,277,
907,647,187,038,140,413,049,244,344,353,298,045,913,163,889,784,695,795,328,
091,085,181,889,196,935,120,620,343,093,708,007,729,136,991,854,345,524,667,
076,859,824,895,582,115,202,356,738,803,788,449,351,495,327,032,609,868,016,
746,044,712,758,082,450,022,184,940,089,306,905,887,859,498,817,582,322,440,
997,274,313,008,491,195,764,478,116,014,796,183,613,795,325,999,137,721,545,
976,765,488,070,174,575,593,671,798,944,937,238,515,027,805,815,524,930,630,
856,778,817,618,857,013,560,332,638,501,221,290,681,144,213,751,996,896,109,
460,414,336,510,130,402,983,536,002,520,185,426,040,193,462,910,787,855,218,
730,526,023,379,404,148,293,427,108,222,980,956,437,568,578,185,373,997,186,
933,021,740,806,020,106,163,068,760,885,363,415,572,384,776,861,437,777,935,
114,034,971,093,797,675,422,213,336,966,920,275,930,665,218,885,736,829,343,
780,870,574,524,471,800,099,882,447,761,987,152,911,673,788,804,129,235,088,
201,722,181,302,543,540,299,652,696,496,201,997,112,618,506,953,011,491,535,
103,027,361,737,908,510,272,923,708,531,001,652,100,597,647,082,843,050,543,
138,913,476,816,991,931,757,660,748,197,455,830,632,204,166,369,113,485,909,
986,540,686,461,378,762,461,321,576,216,298,602,550,241,953,357,654,276,312,
152,749,392,313,526,061,193,553,295,753,758,509,264,255,608,545,250,409,288,
835,306,537,795,814,409,803,794,399,402,278,985,244,709,360,149,897,773,360,
576,141,683,761,801,307,358,990,441,883,284,524,891,670,508,046,893,020,846,
275,825,669,474,012,195,811,130,933,014,001,840,393,367,850,594,851,744,050,
504,089,661,389,945,257,789,103,739,583,633,278,383,601,288,187,318,750,055,
334,434,992,129,129,650,501,644,771,238,588,262,349,310,740,265,497,797,892,
589,701,481,895,245,589,247,977,930,834,751,396,492,629,652,386,142,612,091,
381,686,229,807,155,725,304,405,838,478,689,199,870,290,199,379,613,060,404,
777,085,200,485,091,477,024,576,791,805,482,250,470,307,125,740,925,991,841,
486,502,366,200,990,921,042,843,360,887,265,044,096,887,781,799,419,445,864,
168,396,438,398,612,312,335,268,804,775,249,106,349,580,046,058,058,377,836,
657,087,124,533,973,516,793,464,121,418,268,873,170,449,864,683,998,582,341,
960,744,397,378,755,273,535,041,603,561,173,246,119,990,228,514,336,768,205,
818,939,037,253,674,372,240,526,602,276,525,062,675,844,890,371,825,821,831,
528,338,648,680,553,538,339,547,550,453,827,469,528,488,952,519,035,487,373,
031,684,094,680,609,137,756,164,267,894,916,410,903,111,618,322,700,805,307,
826,055,652,317,197,377,728,640,855,304,415,030,908,270,258,442,678,657,973,
515,144,367,340,205,338,658,376,870,959,747,560,594,136,423,085,060,559,851,
299,422,950,649,409,426,430,284,348,600,877,087,358,176,775,868,338,718,414,
393,100,946,680,535,383,068,884,629,401,141,112,890,606,493,210,379,857,426,
516,385,022,469,526,001,110,544,666,078,412,255,974,767,353,950,903,558,854,
184,508,183,799,632,577,535,742,577,252,035,740,873,455,267,719,717,678,598,
327,535,443,481,620,293,811,575,538,564,257,906,897,929,336,969,098,226,165,
029,664,259,028,426,483,338,737,816,294,149,714,449,160,663,481,316,514,606,
493,188,787,902,936,532,024,508,328,360,504,043,291,962,182,095,556,919,179,
077,921,285,256,957,533,257,950,180,245,409,256,439,148,832,234,743,091,941,
380,606,535,388,817,903,705,408,715,002,326,719,818,004,802,149,641,460,322,
519,041,341,425,856,525,319,546,633,376,249,930,584,528,014,265,176,722,508,
416,797,849,372,964,412,543,606,252,462,736,888,703,691,097,895,960,626,543,
154,720,518,046,567,538,193,178,130,893,464,390,762,468,338,629,348,015,033,
125,118,931,205,198,588,472,426,648,615,158,782,987,101,446,379,248,799,627,
087,610,465,779,146,804,891,927,291,644,960,636,194,741,870,839,922,794,561,
111,838,319,624,348,569,792,729,389,505,190,270,935,374,279,777,402,613,469,
519,805,437,420,171,949,162,070,469,061,167,625,381,537,559,024,292,306,743,
930,923,015,713,999,890,639,352,062,612,679,970,482,670,830,051,941,781,240,
100,733,407,841,986,885,828,671,897,491,663,738,219,788,918,738,062,317,158,
409,840,706,223,506,680,014,253,291,246,058,295,866,985,974,196,041,276,405,
747,882,231,735,712,903,374,140,497,668,367,442,546,140,508,256,985,033,056,
381,469,191,441,062,795,534,527,338,026,608,878,056,344,124,382,863,360,853,
125,271,984,233,785,094,214,199,664,700,044,323,626,047,915,268,329,739,382,
014,781,781,587,220,290,831,273,503,351,903,019,879,580,953,021,772,526,692,
671,539,234,158,189,673,906,051,817,108,444,052,488,375,302,681,244,847,480,
596,509,455,719,441,615,836,847,320,686,188,775,743,719,309,198,070,527,392,
184,654,459,514,739,258,831,008,953,369,700,741,836,492,816,979,101,597,142,
923,406,658,568,498,082,779,336,689,110,809,873,090,669,458,123,807,316,396,
184,202,772,179,841,951,399,983,499,757,866,518,111,069,871,829,955,223,409,
213,700,900,700,452,858,330,611,610,848,707,422,529,681,921,578,902,422,192,
808,101,758,553,912,530,959,404,601,021,852,254,302,306,456,414,527,211,719,
373,536,706,579,572,632,173,914,160,418,539,296,120,125,126,290,311,921,818,
933,220,367,850,107,958,127,765,476,913,049,124,054,779,515,745,677,488,534,
895,853,925,626,947,208,134,279,872,585,522,796,937,273,488,617,059,404,294,
349,320,372,079,082,121,868,635,579,488,869,478,819,909,660,891,908,203,380,
210,858,552,404,650,921,090,712,116,449,896,670,687,836,994,921,760,180,289,
336,909,576,332,638,775,853,555,391,913,049,916,582,233,363,320,343,462,073,
566,752,584,169,232,949,420,017,454,734,474,457,305,205,630,693,350,872,268,
008,703,074,867,237,019,225,170,856,392,586,596,198,742,936,405,257,223,376,
116,785,821,985,737,711,969,843,051,033,247,420,308,690,638,590,077,752,387,
222,387,102,402,578,983,181,338,906,112,142,813,188,522,238,187,180,913,808,
112,296,418,407,617,737,374,416,302,851,460,380,375,026,577,951,428,855,307,
483,537,867,426,910,847,636,372,583,705,634,355,676,901,666,968,987,400,482,
991,135,440,939,132,709,993,811,353,543,411,821,308,264,940,661,690,119,407,
816,057,521,966,185,642,294,769,822,395,139,473,780,439,505,089,564,247,813,
969,959,550,121,864,724,607,594,046,882,183,120,028,694,979,278,567,062,150,
844,407,133,922,033,335,144,873,705,388,631,005,974,424,857,680,106,243,761,
603,088,902,278,659,384,471,461,854,738,095,389,421,872,786,123,536,524,817,
414,232,465,255,775,197,937,396,193,710,004,350,686,886,445,458,680,647,458,
510,810,322,016,977,783,999,346,756,428,816,303,163,990,093,280,838,721,157,
904,806,225,008,314,166,073,342,715,785,179,453,671,878,026,777,733,076,551,
395,489,692,036,857,033,385,451,400,291,952,653,195,875,089,780,683,851,339,
419,609,410,683,384,460,059,113,642,571,029,450,304,375,059,212,005,665,198,
713,611,809,954,943,154,828,457,322,006,747,684,659,232,529,502,163,566,623,
253,275,749,776,675,264,158,352,638,873,875,099,965,268,481,876,739,450,649,
165,031,822,882,073,461,502,491,095,229,657,147,228,291,834,542,639,781,616,
188,365,302,822,517,269,916,543,133,824,737,890,913,078,816,892,449,199,057,
125,817,737,753,191,762,211,634,631,482,421,571,193,339,278,248,754,203,832,
499,041,498,540,443,120,907,592,407,382,880,960,462,347,903,280,345,851,047,
108,112,992,857,454,046,546,498,163,640,803,645,646,139,176,434,934,791,421,
150,665,496,872,834,524,563,114,211,078,779,204,772,176,643,790,316,725,715,
140,834,450,788,473,496,607,434,667,970,285,916,010,680,439,629,184,918,751,
643,001,776,027,360,758,934,200,257,729,518,082,604,288,505,449,055,117,911,
314,210,812,610,710,714,038,120,430,810,542,655,436,592,438,368,498,498,035,
029,843,395,866,420,130,693,447,716,188,352,153,228,736,955,328,662,860,422,
494,590,314,290,628,252,718,312,187,854,249,989,254,613,714,901,186,202,206,
425,681,888,841,318,920,375,989,821,371,687,885,033,184,771,606,600,223,193,
817,696,020,806,580,196,607,219,352,941,634,830,847,416,084,700,807,812,801,
136,761,089,867,635,155,466,186,952,515,472,797,321,869,549,291,858,666,177,
339,711,861,631,224,380,778,378,881,291,995,544,690,296,753,676,377,252,821,
150,320,071,962,808,012,252,339,748,325,641,222,851,903,072,013,310,969,270,
202,493,460,414,545,842,230,586,104,132,323,642,042,905,079,576,831,233,167,
113,214,539,290,193,528,785,198,368,038,766,934,730,086,810,462,622,617,003,
710,648,216,474,992,191,850,701,030,305,591,875,545,589,565,494,110,695,270,
342,793,074,133,146,846,429,413,709,595,543,571,785,160,338,676,512,530,525,
299,804,831,360,320,463,580,520,913,859,173,574,991,060,991,900,123,550,297,
667,856,443,756,953,305,192,561,478,224,566,038,748,261,002,635,429,963,957,
460,643,405,373,466,201,578,781,828,595,540,929,922,647,992,387,626,608,895,
188,943,181,166,056,006,037,823,845,418,362,367,428,369,873,738,954,702,869,
164,434,113,492,109,289,699,279,384,312,621,193,913,762,251,479,542,582,656,
216,313,488,109,210,108,596,457,504,318,553,139,135,671,859,943,689,106,200,
136,554,072,890,529,273,282,071,600,894,503,422,037,777,516,525,770,930,113,
497,679,179,148,411,153,221,380,672,558,188,269,192,226,003,571,174,866,092,
473,864,472,672,914,169,641,922,799,513,826,630,287,114,297,296,540,614,866,
584,272,665,498,535,479,009,136,925,830,974,129,306,339,900,123,408,848,459,
752,927,725,284,623,892,075,795,710,529,597,385,243,404,796,952,816,540,605,
350,407,597,789,508,863,075,887,081,235,667,240,515,472,858,642,897,751,066,
770,640,491,225,696,306,812,311,247,554,886,319,097,330,585,705,593,678,873,
777,704,920,844,137,285,154,744,776,669,996,503,380,869,817,936,340,728,673,
927,045,545,729,083,992,338,630,780,781,399,195,822,971,985,512,234,128,164,
977,760,642,371,363,753,659,415,375,705,451,187,541,314,939,968,674,450,189,
365,749,763,773,415,220,801,384,719,007,944,446,633,385,139,555,476,276,065,
647,517,700,501,805,594,279,330,805,882,965,735,381,105,695,310,166,705,712,
727,075,210,382,165,457,449,300,972,103,416,871,515,742,738,049,357,223,387,
829,301,751,568,869,456,327,515,968,505,941,118,375,258,316,511,124,981,223,
350,451,906,722,562,284,570,986,408,662,601,801,657,538,834,107,831,317,930,
772,963,394,886,184,066,798,524,351,695,616,404,122,288,764,487,548,396,888,
258,668,469,128,783,034,162,549,948,643,433,897,295,915,114,176,038,276,793,
367,711,830,984,275,684,449,528,950,060,007,812,070,254,268,044,792,671,731,
734,924,168,802,580,720,424,046,976,724,978,921,313,892,286,426,651,801,303,
655,133,946,013,353,661,700,050,242,402,667,230,146,278,642,532,439,259,226,
034,744,031,394,109,995,315,175,703,692,867,132,706,971,696,371,175,350,302,
994,922,442,522,267,291,329,393,828,722,750,706,856,292,616,868,603,082,262,
495,624,977,162,272,501,387,507,089,338,692,216,405,250,407,266,887,107,726,
953,463,474,772,086,315,680,688,360,374,586,500,304,030,156,498,387,237,439,
498,964,507,107,727,227,419,502,695,111,509,512,937,018,039,922,908,387,526,
554,461,951,787,803,207,618,716,756,281,745,293,156,745,212,113,015,687,954,
754,712,481,329,277,081,077,246,046,037,340,965,808,815,224,033,501,378,184,
747,477,857,486,146,121,552,905,058,733,421,901,152,894,869,836,691,898,553,
531,568,379,415,405,793,708,054,835,522,906,014,956,768,520,244,267,332,568,
902,097,121,053,207,046,897,677,879,685,881,530,864,095,232,403,744,026,271,
752,312,475,987,438,267,782,422,937,984,938,388,448,947,964,378,747,748,918,
107,161,691,827,549,842,428,247,238,230,234,277,229,645,583,105,803,763,684,
900,953,380,223,527,173,501,889,217,753,805,230,010,380,110,342,463,554,980,
562,803,750,623,628,759,944,588,972,390,904,652,433,297,734,386,269,507,385,
760,267,149,958,177,708,533,820,232,017,931,491,949,035,400,494,466,005,706,
569,009,005,760,916,584,599,869,334,717,704,209,633,806,372,123,061,313,237,
659,263,827,926,971,966,838,413,225,778,035,283,238,800,636,645,437,945,774,
253,650,979,139,046,856,364,533,425,219,978,841,279,665,830,303,022,399,556,
205,834,517,608,847,780,539,947,071,466,529,972,495,503,419,453,489,245,594,
864,441,555,517,392,378,778,650,359,362,205,219,796,632,001,246,065,311,021,
268,891,692,486,734,511,665,316,233,942,505,989,085,916,861,677,450,237,182,
882,605,768,597,314,056,072,659,802,297,260,249,016,307,255,892,973,950,118,
549,007,653,007,795,455,813,438,579,317,374,919,240,266,569,644,152,292,681,
359,658,132,168,291,546,357,502,618,811,802,316,645,545,463,941,597,276,038,
855,776,869,197,678,167,552,930,977,674,264,854,607,423,398,999,533,723,110,
264,704,202,678,590,914,611,086,899,482,991,205,125,212,185,401,305,530,956,
773,586,807,416,049,244,516,836,443,915,359,754,635,415,844,402,014,907,718,
250,152,625,175,560,412,037,133,144,803,302,576,434,107,538,153,556,850,473,
802,398,603,401,944,103,896,067,340,213,684,508,778,212,933,327,395,596,251,
462,413,626,549,615,509,079,811,806,894,264,117,052,166,090,706,577,777,847,
388,373,349,981,572,428,502,817,827,204,655,889,522,072,524,452,924,245,033,
318,401,802,330,771,468,903,776,581,584,063,550,162,168,049,396,784,998,997,
054,042,078,751,675,265,593,784,952,887,931,998,594,924,308,813,905,233,394,
527,315,616,263,734,642,646,396,273,375,981,627,287,334,428,933,303,841,808,
076,100,722,423,840,262,047,490,968,404,824,280,366,649,532,061,685,332,607,
552,311,616,831,093,490,044,490,869,150,576,786,313,431,555,605,978,122,588,
344,343,262,596,503,589,888,003,717,141,470,591,389,438,501,285,598,227,050,
905,694,222,939,125,187,412,345,846,944,765,520,326,210,135,646,765,989,798,
351,815,451,730,187,862,155,596,151,515,075,146,102,493,392,903,316,939,259,
070,621,464,951,411,729,560,905,140,666,674,499,374,734,074,380,858,205,415,
106,468,478,269,449,213,551,228,886,787,618,943,953,887,955,161,960,813,144,
009,121,416,597,549,403,530,845,618,719,930,249,128,934,349,517,178,258,641,
265,605,503,343,812,076,654,677,038,233,364,724,516,082,599,695,500,520,570,
812,206,384,318,779,358,366,612,066,096,895,883,353,827,094,208,497,806,877,
068,145,086,270,837,315,631,593,983,923,605,269,961,220,388,066,418,448,868,
659,719,351,063,080,599,102,272,172,898,055,903,829,840,884,759,955,377,847,
606,671,466,215,637,884,058,639,563,300,148,666,633,917,473,961,142,425,739,
578,354,976,202,981,286,441,404,132,618,622,317,740,814,051,326,301,581,762,
278,771,014,857,478,694,370,370,563,265,658,340,857,748,698,015,679,869,843,
716,031,456,386,291,047,897,628,835,298,363,326,081,222,724,449,242,621,092,
813,624,675,677,797,314,384,255,037,491,102,128,713,722,640,103,284,657,938,
719,531,844,462,528,023,823,553,582,465,196,953,534,094,113,311,910,059,318,
270,799,635,730,948,884,090,293,707,429,018,167,759,925,978,210,778,773,478,
091,754,392,407,016,764,052,187,636,349,059,242,781,065,250,568,934,313,952,
668,172,617,622,784,336,972,581,407,930,265,371,231,661,919,857,946,061,810,
498,213,649,590,506,442,954,550,760,358,759,785,150,391,817,268,611,505,813,
880,170,318,549,782,223,489,875,464,546,902,378,141,170,578,342,485,759,758,
315,355,272,345,277,803,735,715,182,528,387,004,696,848,646,787,196,312,160,
671,188,747,330,944,180,865,715,970,388,353,901,710,679,945,370,389,514,867,
055,455,347,810,851,810,254,274,560,417,733,574,220,721,874,153,135,991,567,
179,889,029,500,144,422,136,937,170,915,335,334,611,049,839,398,151,117,336,
813,755,730,642,111,201,362,210,826,259,444,718,821,932,476,869,639,496,841,
818,887,111,616,591,040,207,362,584,647,570,775,439,522,942,333,742,937,270,
660,862,132,317,321,397,956,576,580,003,395,758,239,236,646,825,307,231,545,
474,480,902,455,199,116,214,928,225,595,637,363,866,815,831,508,819,140,479,
800,570,872,146,596,152,645,574,029,522,416,630,329,993,483,235,033,810,557,
709,576,544,920,511,262,416,898,003,199,889,768,327,443,097,486,628,006,435,
952,197,589,902,206,025,268,222,819,180,915,404,642,718,162,452,781,699,556,
167,039,366,497,637,720,449,992,198,169,708,499,285,287,244,370,074,710,986,
980,553,601,008,573,626,939,192,640,502,105,354,039,252,218,282,524,518,063,
506,314,597,243,417,279,106,032,820,783,406,729,307,331,120,620,995,986,103,
611,031,308,114,338,376,855,160,333,785,049,310,767,578,402,104,169,983,254,
308,038,530,860,611,729,495,917,364,371,935,977,785,772,878,177,610,476,908,
568,672,432,981,080,360,639,605,827,806,873,509,483,277,808,591,840,918,135,
122,472,962,681,383,191,038,319,317,534,699,342,157,183,610,494,265,475,058,
659,265,773,327,662,134,959,269,525,059,039,743,032,142,884,090,945,259,675,
048,894,054,089,960,871,547,812,461,940,881,959,687,778,891,645,093,016,457,
081,365,867,365,700,204,901,322,454,107,031,585,010,532,734,662,888,910,877,
665,616,276,987,772,075,002,341,360,920,735,635,051,207,001,895,622,182,731,
860,640,175,372,441,900,240,681,689,055,284,912,817,545,381,989,980,682,183,
890,138,971,525,166,545,214,996,700,120,266,648,399,836,558,049,453,022,724,
331,339,529,411,631,359,671,431,967,499,658,527,744,214,713,483,407,707,024,
859,986,569,553,958,070,870,898,148,368,310,619,674,461,606,990,796,930,532,
554,361,421,703,053,681,963,137,342,189,729,170,758,511,223,628,009,053,764,
629,954,144,266,395,084,184,709,192,337,580,273,607,754,422,887,133,147,527,
176,644,561,857,286,051,688,833,810,257,774,937,355,784,757,489,390,473,023,
854,246,973,568,723,833,870,167,034,586,855,178,804,488,183,516,449,431,875,
743,998,289,717,381,788,964,674,122,640,820,820,054,408,026,542,485,852,221,
966,060,440,775,257,794,767,372,279,946,065,061,849,993,187,854,049,363,663,
237,900,306,180,063,026,287,615,679,052,729,788,933,219,566,864,038,836,187,
987,134,324,529,654,988,850,879,406,571,125,487,337,367,230,596,644,134,762,
275,319,743,847,386,621,398,035,395,393,795,097,255,374,524,894,614,021,833,
325,695,088,221,141,988,163,874,916,964,583,384,724,629,585,058,790,624,325,
351,721,691,657,619,566,416,880,034,575,393,436,812,418,385,843,938,835,325,
433,098,925,752,654,381,886,551,298,267,384,458,517,049,480,442,159,464,878,
365,230,312,962,023,361,816,313,866,807,391,254,525,498,300,498,335,448,570,
277,475,639,233,054,548,314,419,501,240,780,366,928,559,884,218,199,653,134,
692,440,652,638,611,726,917,664,422,249,284,998,191,955,724,308,218,140,509,
999,240,850,749,498,609,974,742,707,732,949,901,559,246,503,569,761,852,640,
566,220,192,790,483,237,409,349,463,806,925,074,984,366,859,007,762,318,997,
011,778,201,474,362,039,919,872,875,182,022,299,513,776,862,295,628,405,672,
311,278,186,446,180,869,554,037,687,466,130,986,107,537,719,453,234,009,276,
923,332,195,522,862,363,669,206,083,547,789,912,293,219,162,014,904,809,271,
732,750,357,532,793,863,308,141,391,053,333,341,055,709,992,463,586,501,812,
039,871,656,272,073,108,218,016,614,276,292,089,936,791,815,522,807,451,137,
584,295,449,603,582,321,515,689,914,381,719,291,273,390,916,871,230,311,598,
073,282,299,913,711,973,247,286,191,321,798,063,461,975,159,635,621,145,405,
387,319,511,999,316,244,319,531,937,147,502,848,886,305,094,918,037,494,648,
854,888,443,549,448,426,300,521,419,937,231,855,219,296,326,406,833,563,112,
503,524,660,987,113,834,810,742,821,647,352,734,825,691,088,687,143,102,425,
814,448,536,693,314,468,847,074,437,495,052,437,611,833,929,956,083,347,485,
427,878,693,696,669,448,299,809,794,471,005,505,129,849,322,907,351,707,257,
366,260,117,351,678,902,911,708,188,000,624,014,273,131,211,700,198,328,635,
414,859,795,195,702,953,338,485,552,564,965,678,668,292,349,978,924,373,959,
736,096,462,517,977,166,554,109,537,818,141,547,449,853,180,444,967,306,355,
908,038,299,603,026,996,712,978,493,532,256,889,971,569,954,159,637,890,469,
527,356,288,344,359,756,160,115,660,407,472,065,470,222,204,806,101,873,456,
985,910,243,249,663,370,849,537,700,528,768,795,109,505,979,064,843,496,635,
866,313,160,492,316,602,617,622,574,689,468,438,144,756,957,747,140,204,991,
387,541,540,942,691,659,123,362,172,151,499,363,794,734,611,270,651,326,098,
658,282,620,452,583,606,672,165,274,351,448,314,530,988,529,715,417,694,283,
740,842,454,148,900,551,368,345,592,291,939,562,771,198,737,264,152,332,384,
558,351,531,555,986,265,529,631,630,000,385,444,570,163,332,144,040,603,466,
344,770,538,215,614,384,001,778,460,582,743,071,595,307,097,256,355,788,316,
866,550,944,778,221,948,545,322,357,312,286,958,444,773,525,020,170,483,559,
569,838,222,015,493,164,740,016,546,370,694,272,524,905,023,078,513,906,059,
263,631,403,241,857,791,148,385,061,538,099,118,246,364,197,067,295,527,992,
899,981,416,074,920,837,630,149,466,103,353,458,690,383,074,910,734,712,077,
742,360,968,110,788,942,086,970,722,021,848,061,497,578,219,586,499,845,215,
393,292,074,117,972,498,406,928,888,860,582,094,860,948,438,994,526,912,569,
105,558,562,904,920,720,334,926,150,409,134,513,649,171,533,906,591,794,559,
878,716,580,359,026,117,899,727,285,818,041,668,101,558,516,625,069,723,964,
577,581,472,618,507,181,626,192,828,883,144,507,427,484,047,315,907,563,931,
911,311,658,696,878,075,950,305,667,481,049,748,116,794,582,491,528,718,668,
211,975,631,122,787,195,209,172,192,044,123,713,914,203,967,139,333,416,379,
560,844,053,549,826,937,871,930,955,153,296,678,905,764,321,168,247,543,757,
363,057,571,553,073,766,588,235,689,543,322,739,481,140,070,460,602,312,721,
476,682,927,106,656,304,356,990,785,030,283,308,205,204,163,865,484,657,590,
728,906,810,319,400,617,526,041,199,642,533,095,700,767,776,036,768,906,736,
486,478,505,881,958,523,827,221,669,360,791,660,612,244,125,623,319,834,155,
003,912,831,043,043,899,136,464,694,598,334,219,665,081,724,250,693,716,565,
818,929,618,653,231,111,835,069,447,406,060,089,718,233,929,681,520,306,610,
369,672,312,532,471,686,150,570,685,853,170,159,499,906,425,041,182,165,726,
989,441,482,282,508,840,581,500,798,717,368,149,284,901,893,995,039,042,800,
777,042,297,235,005,969,513,478,038,617,796,867,015,168,693,735,156,186,914,
570,037,280,885,525,417,982,332,953,221,262,762,996,399,949,845,691,558,439,
998,627,206,827,989,053,985,844,507,677,835,621,076,346,066,310,381,241,668,
505,004,664,056,477,806,168,857,367,747,603,310,413,616,591,357,986,819,801,
768,280,258,505,896,242,681,355,721,485,333,268,415,923,364,562,566,056,359,
329,667,844,011,200,534,052,330,045,002,533,608,220,345,654,120,166,805,650,
730,768,398,164,919,023,687,278,359,066,523,299,974,246,595,634,952,685,825,
910,025,756,363,651,149,424,420,979,059,855,364,916,940,229,626,602,061,768,
584,853,997,617,890,798,972,118,758,280,888,276,292,966,328,191,000,030,262,
574,811,476,844,317,698,014,008,119,224,897,261,141,204,015,558,402,236,391,
809,452,544,855,044,706,752,212,901,908,660,498,327,364,074,955,417,828,375,
921,924,310,663,303,364,844,803,253,829,311,637,962,570,753,596,811,672,330,
591,235,101,065,359,739,267,563,453,096,452,274,690,713,988,478,263,578,578,
627,623,647,030,251,946,178,709,259,725,377,235,861,703,847,444,859,178,981,
227,983,958,929,089,422,501,529,069,364,721,091,622,050,304,387,485,183,952,
405,404,415,012,613,359,885,627,416,266,650,580,351,114,757,849,661,427,662,
683,717,772,892,110,433,446,879,429,575,485,397,734,414,016,508,926,035,960,
350,989,886,692,405,237,190,033,015,003,653,859,167,886,182,576,626,498,641,
533,464,809,176,521,808,315,435,711,875,278,703,821,813,679,870,280,000,943,
604,022,606,224,267,723,863,303,074,763,643,840,334,949,471,845,867,892,965,
516,605,746,549,992,894,063,405,735,069,929,229,180,129,447,381,361,483,054,
907,231,884,515,734,075,647,081,021,716,379,728,797,983,289,559,187,183,397,
182,045,457,199,732,658,640,829,282,523,518,528,251,065,726,304,335,264,320,
757,394,398,769,778,831,323,868,229,761,099,480,959,904,407,552,029,436,570,
909,919,245,266,038,229,915,544,220,567,829,935,957,663,502,952,345,302,983,
816,209,970,576,617,532,822,675,936,971,682,404,681,683,188,225,093,663,010,
869,541,055,849,778,479,815,249,796,421,580,728,414,559,736,156,924,562,985,
236,515,891,869,589,194,118,306,807,085,638,092,198,309,690,498,582,668,567,
936,670,835,658,452,236,902,239,760,811,979,021,088,030,051,428,985,342,832,
058,795,780,523,117,218,405,359,125,940,065,197,565,815,103,863,716,944,596,
541,307,146,629,105,251,047,562,676,744,206,504,127,453,075,656,844,238,062,
220,664,202,469,090,839,392,340,419,084,004,152,539,363,700,669,126,429,580,
690,431,708,062,739,197,989,765,354,616,331,053,550,575,893,821,955,200,865,
195,145,500,118,811,736,721,007,207,417,050,446,524,920,666,431,806,343,778,
423,940,530,857,640,665,082,564,917,358,962,352,519,635,332,427,835,208,191,
384,532,927,217,604,882,988,789,736,388,994,375,015,985,832,051,034,769,925,
029,922,942,200,681,625,160,078,914,745,147,035,248,133,971,828,604,424,563,
475,892,686,830,646,773,151,675,666,363,597,043,661,989,060,816,265,567,199,
654,305,581,175,417,513,824,821,998,050,173,554,293,362,041,753,005,781,565,
750,811,786,797,872,819,777,845,443,472,530,983,129,548,124,013,713,729,778,
403,543,986,400,278,206,833,789,741,129,121,108,454,866,782,675,549,840,984,
252,113,172,759,298,504,729,909,879,678,528,396,210,005,230,953,699,612,613,
069,708,303,413,027,476,321,288,806,409,880,067,580,225,392,878,752,193,570,
401,532,134,105,599,753,284,313,754,870,780,054,165,967,295,122,384,552,554,
338,267,777,664,562,270,265,697,889,008,609,295,876,097,382,715,057,445,474,
744,254,508,074,302,472,825,063,977,204,655,329,305,220,299,058,811,108,583,
553,765,945,974,665,605,490,462,999,575,811,634,500,048,753,345,622,607,827,
810,811,531,416,766,002,528,060,339,059,291,659,002,468,397,826,964,545,427,
165,459,493,024,093,142,365,802,501,816,976,582,818,450,752,334,996,837,671,
551,145,004,485,540,380,690,928,991,024,745,008,230,121,404,276,239,512,467,
360,874,555,669,753,110,310,724,258,973,939,907,604,174,560,064,298,352,914,
215,694,493,538,683,723,365,265,736,118,773,358,348,350,548,980,893,240,575,
692,798,824,305,815,108,878,748,997,149,543,299,095,683,684,865,845,203,292,
934,188,905,970,100,470,768,749,532,532,100,555,235,989,366,297,906,475,239,
422,339,045,826,869,314,600,953,331,322,222,694,591,901,643,655,495,940,606,
083,793,902,582,952,438,772,125,908,230,766,220,240,069,032,163,514,000,652,
611,996,228,541,819,528,381,680,854,366,901,587,060,330,810,244,870,013,543,
838,339,784,563,735,204,053,360,191,108,074,782,569,497,204,635,046,607,295,
862,940,963,398,445,830,712,437,063,168,358,136,489,557,391,860,504,540,525,
779,875,359,674,167,702,325,682,602,457,524,782,710,434,836,903,577,492,423,
928,915,127,730,281,072,466,824,487,219,033,170,760,150,708,976,222,483,655,
926,777,669,800,466,806,055,721,973,958,868,868,274,392,375,602,940,000,007,
478,763,157,926,552,053,514,626,800,475,762,552,713,722,026,627,508,359,737,
632,510,171,854,334,764,304,041,538,155,880,610,013,288,614,412,295,371,499,
241,626,151,968,509,293,040,933,168,904,733,230,309,623,407,623,009,764,846,
394,523,801,610,023,432,854,174,497,867,429,030,789,444,421,159,314,346,269,
394,155,161,636,514,604,641,541,845,316,255,537,339,613,854,637,604,340,574,
819,763,998,569,458,091,497,467,819,094,606,710,782,528,177,946,396,766,556,
104,432,280,379,783,920,732,784,035,876,730,459,792,172,081,093,361,826,781,
154,590,451,705,105,476,951,775,261,015,336,572,432,787,567,620,352,409,390,
321,367,711,919,129,738,082,274,186,637,984,015,143,642,225,313,253,913,162,
834,207,812,975,557,938,300,478,656,898,189,534,051,355,500,183,295,011,636,
998,322,820,605,582,161,645,381,051,978,466,430,280,034,699,087,728,264,141,
931,495,060,753,031,953,127,008,252,258,426,651,794,792,137,553,129,877,642,
865,449,371,698,298,098,330,325,498,642,035,352,829,529,741,424,593,614,918,
303,363,267,747,472,134,709,637,178,401,523,239,728,895,527,664,386,967,877,
487,156,230,676,899,146,028,285,941,950,210,807,144,809,191,476,929,431,033,
131,814,779,052,724,774,126,346,959,015,917,882,086,661,446,089,800,360,151,
393,969,949,282,519,869,485,538,143,007,129,499,098,507,416,502,253,355,791,
699,870,605,019,153,133,782,504,050,102,102,822,631,150,993,593,473,228,877,
114,365,572,828,230,106,263,464,204,966,458,321,501,994,426,603,580,868,583,
380,368,807,954,614,125,969,566,302,473,837,862,883,280,553,151,727,073,569,
506,412,694,135,152,934,763,659,354,375,100,010,963,809,934,524,262,920,156,
427,546,970,866,580,250,885,152,202,054,412,753,509,634,968,732,172,225,151,
805,918,190,524,700,186,014,736,111,386,074,338,288,450,363,407,614,686,377,
674,450,828,231,189,390,554,836,658,638,875,925,273,711,516,985,670,368,312,
191,044,458,241,731,240,791,377,523,094,762,366,230,021,622,374,814,938,040,
101,047,835,516,992,289,574,912,142,352,064,539,044,923,376,161,313,399,750,
558,233,177,211,266,362,901,995,417,284,665,850,749,030,442,503,957,887,421,
428,712,171,627,508,921,554,290,242,231,540,655,239,660,115,011,490,370,322,
906,362,548,827,166,681,492,917,922,062,973,254,341,859,803,429,804,885,047,
037,787,464,237,373,522,979,238,244,859,481,414,155,197,230,933,896,528,165,
397,186,149,501,834,096,337,723,899,638,107,600,164,115,851,140,427,485,472,
082,234,854,649,809,559,600,700,951,816,337,774,936,762,580,311,946,270,050,
752,670,905,613,349,491,412,580,392,677,836,354,289,847,450,649,345,899,095,
392,340,235,792,437,588,333,223,029,570,451,715,479,776,464,041,228,621,342,
280,182,049,647,790,278,682,931,094,512,046,083,768,004,937,232,477,410,681,
614,857,691,103,553,488,463,605,912,791,551,732,533,010,503,400,662,977,239,
044,730,254,604,533,681,136,584,388,422,640,320,448,164,874,732,957,660,930,
584,878,272,270,756,917,256,708,268,232,928,603,759,015,215,552,310,673,746,
094,645,662,091,450,689,621,405,292,378,491,118,552,062,597,744,164,531,827,
491,696,622,259,777,659,105,643,079,123,919,234,476,617,010,541,709,178,979,
064,750,921,795,297,925,923,902,595,446,984,644,882,885,500,435,743,814,766,
313,887,812,545,309,131,273,757,484,981,480,940,563,853,567,282,280,370,887,
415,939,466,253,758,666,567,824,820,425,861,955,708,320,949,477,991,944,050,
104,188,792,277,602,867,529,993,777,936,574,680,486,293,653,965,951,168,360,
586,494,763,256,630,296,420,832,275,718,648,122,056,133,428,130,397,795,488,
715,898,129,864,579,667,958,423,989,698,639,612,403,136,816,291,631,866,950,
013,926,900,712,114,942,639,041,209,428,420,715,430,109,371,015,974,834,330,
180,570,013,300,951,308,159,074,072,709,361,768,338,701,931,666,871,811,590,
594,312,208,746,261,429,696,058,059,475,812,393,994,091,875,799,359,393,872,
222,737,658,392,255,174,233,340,043,820,039,682,942,421,421,730,010,370,441,
645,415,239,255,875,564,928,034,252,458,308,871,873,155,354,215,663,887,110,
532,138,893,807,951,490,432,596,088,635,725,421,453,567,981,421,269,090,164,
882,251,343,426,573,447,349,685,293,976,982,562,707,224,646,737,674,839,221,
420,114,960,032,756,197,130,225,878,321,777,065,137,995,361,649,205,172,226,
360,184,374,802,880,041,945,172,419,945,440,902,448,631,791,253,996,812,548,
555,835,315,422,781,991,812,086,886,652,858,519,831,271,499,301,636,524,705,
697,664,052,639,455,662,359,982,058,229,241,533,986,456,518,274,526,997,570,
822,445,100,250,787,403,173,397,432,754,343,538,539,762,796,969,941,698,741,
312,627,027,639,378,229,025,976,705,802,248,273,819,185,095,658,203,103,593,
320,194,920,091,806,202,860,004,671,296,042,461,909,417,522,382,950,483,768,
477,194,792,751,488,672,988,482,307,590,944,708,908,465,151,920,839,970,346,
884,157,908,859,987,921,744,982,095,509,297,736,513,480,071,590,628,874,886,
536,736,211,977,563,858,263,782,560,660,521,786,858,420,165,533,033,756,580,
707,435,774,988,141,127,096,355,110,852,610,689,228,663,320,699,125,407,968,
797,451,856,379,540,371,506,742,184,334,645,772,092,074,647,368,942,278,536,
815,301,903,735,024,155,841,955,190,902,316,859,387,874,147,231,018,992,925,
897,581,010,736,120,378,870,268,280,087,569,816,440,907,937,181,308,526,435,
697,485,859,108,007,071,459,167,390,427,613,623,002,285,773,422,854,859,248,
584,500,978,358,906,622,977,814,107,116,878,741,020,334,918,059,688,747,902,
920,169,074,863,208,731,746,089,401,551,866,092,668,620,786,304,888,891,835,
002,179,018,711,747,654,743,845,163,510,255,998,875,811,650,059,594,024,431,
090,669,486,649,994,759,887,622,998,476,819,165,934,696,549,171,309,319,397,
246,781,032,289,189,571,830,764,963,476,937,103,364,943,994,790,336,187,897,
785,547,572,938,122,033,908,941,037,489,060,255,874,116,762,210,980,075,906,
946,522,979,464,055,984,659,810,262,608,169,356,452,310,256,653,026,580,830,
997,452,472,119,075,546,777,710,850,174,287,453,734,821,236,404,711,013,215,
633,894,249,680,267,400,029,661,746,853,277,087,638,304,742,163,247,291,669,
786,639,282,556,201,614,569,766,826,795,587,452,390,784,710,467,326,163,776,
121,982,291,531,342,140,621,836,695,488,323,110,037,882,098,252,796,146,063,
145,082,730,511,227,703,120,567,344,377,497,705,430,290,392,822,263,075,873,
751,284,013,270,715,242,074,384,593,425,503,930,972,563,626,997,284,578,999,
248,194,563,306,833,086,219,615,342,386,253,779,742,207,949,529,111,607,878,
366,807,932,364,083,239,493,488,450,071,260,907,604,601,054,875,556,537,819,
707,329,367,031,939,851,716,674,311,469,303,067,268,339,928,892,654,644,180,
090,286,269,066,501,486,270,086,495,646,195,482,295,258,194,526,948,441,852,
240,545,517,404,579,867,263,950,103,059,916,529,902,357,549,659,105,766,074,
794,010,029,598,480,293,534,745,267,256,896,795,988,265,414,985,614,872,745,
813,936,031,648,098,889,144,044,344,587,985,532,153,798,373,831,544,896,048,
334,502,087,317,550,644,381,421,808,596,242,537,420,996,592,823,416,396,325,
939,399,615,425,830,193,198,733,850,893,806,926,970,624,974,050,436,731,917,
543,559,042,419,416,680,980,972,255,719,465,965,437,826,703,207,593,343,348,
841,072,777,705,317,521,895,652,998,309,152,513,313,620,445,252,559,690,192,
176,434,855,600,494,451,152,039,134,363,823,792,983,294,903,759,162,264,959,
546,889,701,544,796,188,381,837,924,217,173,485,429,848,173,642,971,696,156,
146,140,986,848,557,145,566,025,940,828,318,991,155,202,568,170,967,777,253,
866,579,497,304,211,569,865,670,466,832,525,272,049,226,601,408,185,117,754,
542,128,485,028,289,364,804,686,210,820,133,631,840,015,060,851,620,630,111,
024,894,609,297,142,633,188,887,874,956,847,236,121,466,257,666,202,074,775,
744,301,185,130,885,590,678,212,164,904,718,334,250,522,106,578,830,768,133,
400,741,009,135,539,283,522,199,163,881,393,408,382,904,737,464,343,764,330,
273,630,228,652,640,615,828,279,256,347,762,949,856,511,018,246,987,014,201,
644,611,339,205,724,082,950,071,138,885,634,515,913,503,649,388,120,584,362,
940,924,764,655,195,408,219,394,906,924,915,041,750,147,371,735,100,663,580,
634,745,614,847,656,183,498,364,989,762,043,571,317,903,286,063,936,424,412,
854,589,778,164,546,864,541,697,701,329,968,580,332,580,406,730,304,188,986,
533,199,427,107,022,300,057,019,516,559,369,904,218,648,319,379,616,324,895,
281,946,509,855,927,085,304,521,952,387,320,645,299,450,611,556,649,044,996,
079,087,383,429,187,022,102,927,923,051,311,987,845,583,285,590,930,226,283,
898,482,119,143,043,562,179,638,224,783,084,327,963,899,729,063,085,325,033,
318,300,050,206,861,615,850,918,059,799,768,610,808,105,055,328,999,741,068,
534,450,006,683,132,254,659,410,921,655,595,827,163,198,170,570,284,591,206,
879,636,327,192,720,013,868,199,639,941,785,887,594,285,081,561,854,100,741,
197,295,033,161,011,379,230,415,469,259,115,471,488,865,225,231,393,767,114,
734,483,519,802,231,499,777,409,739,269,370,726,899,786,741,741,045,144,942,
985,177,072,852,649,457,571,638,774,572,796,273,190,429,962,049,788,046,496,
981,532,154,943,638,337,016,403,252,318,331,911,571,040,550,310,369,823,701,
904,020,014,807,319,793,096,073,672,723,554,452,283,492,278,505,639,085,884,
478,554,226,551,601,788,420,631,472,209,474,259,859,246,688,973,037,582,967,
742,929,186,565,284,846,081,568,137,108,308,051,954,481,811,857,647,061,167,
530,516,193,346,212,132,046,824,529,703,617,805,560,180,750,830,002,923,045,
732,339,310,334,164,639,498,832,304,657,806,181,878,834,561,076,528,630,236,
988,886,106,877,595,794,003,666,186,760,655,155,067,458,230,205,579,003,733,
268,170,433,285,476,506,512,570,275,022,799,812,660,064,407,728,839,870,080,
527,332,215,174,581,148,597,193,533,846,765,519,668,536,801,627,417,523,508,
583,603,643,618,701,172,514,530,229,737,288,217,479,348,460,143,237,780,709,
062,144,136,277,724,947,371,392,942,384,821,121,140,221,003,445,927,921,049,
110,856,275,533,207,236,914,987,777,203,814,871,766,901,683,996,131,215,136,
882,529,893,576,689,823,794,847,298,003,712,633,340,574,334,573,230,855,658,
884,677,774,564,508,728,852,672,633,676,041,202,768,220,155,310,649,395,978,
290,348,375,339,703,279,550,237,531,455,232,396,571,444,867,465,170,832,303,
838,484,100,110,861,668,991,268,453,329,419,717,597,089,015,357,326,662,101,
277,247,173,510,615,948,596,433,673,134,576,693,149,710,553,700,340,117,112,
532,230,508,777,024,036,646,743,535,417,757,803,326,587,034,260,820,592,139,
014,432,299,475,987,696,985,279,605,700,063,014,610,102,142,805,366,684,558,
660,518,572,841,899,312,507,248,175,023,922,049,275,741,590,034,349,352,421,
107,515,371,181,374,123,787,817,755,469,764,079,953,628,952,949,775,451,845,
655,016,417,850,162,093,031,259,803,125,410,977,695,319,360,890,088,282,279,
187,064,262,145,834,288,294,113,933,834,151,779,540,847,690,279,770,571,855,
260,884,938,656,988,750,133,708,126,698,699,687,975,309,066,229,864,561,192,
044,409,073,794,921,788,326,496,169,724,253,660,802,703,895,033,044,426,615,
044,707,314,061,352,459,866,027,930,415,881,794,591,460,967,862,883,851,735,
198,294,934,536,541,717,880,275,990,624,966,467,691,364,911,558,650,724,525,
670,711,136,620,516,263,436,412,106,717,533,052,248,872,946,534,681,267,325,
305,459,010,024,881,304,964,000,328,396,461,620,917,512,041,386,642,820,162,
119,409,795,956,402,766,518,208,244,938,740,554,135,049,158,957,127,321,087,
662,404,516,091,093,647,240,251,553,817,366,725,130,624,568,773,948,615,810,
498,302,642,681,218,864,802,719,595,045,952,275,033,587,737,217,473,747,710,
776,347,800,691,268,865,014,768,906,778,994,545,631,440,260,469,308,685,580,
239,793,913,831,519,313,009,078,171,423,444,524,275,633,717,471,063,192,286,
431,174,334,503,750,077,576,283,767,894,980,068,363,018,175,049,261,273,346,
621,964,271,203,347,666,496,315,405,120,273,278,757,631,460,167,926,472,199,
229,396,078,388,197,347,960,865,507,031,196,485,388,704,930,742,215,499,896,
796,133,945,626,940,852,852,671,327,878,401,779,472,727,022,002,543,694,215,
598,823,174,028,094,862,684,050,698,360,933,478,037,926,863,359,296,382,431,
074,433,427,147,837,479,264,881,290,278,652,661,137,109,640,110,902,806,031,
533,610,466,949,346,729,509,206,357,432,930,203,620,236,541,197,941,425,172,
555,583,270,931,720,962,326,652,293,043,326,959,215,163,354,004,323,328,783,
261,158,372,070,335,872,623,841,177,888,001,271,422,399,213,074,233,072,818,
895,656,445,135,770,246,778,041,715,424,137,358,026,565,065,881,405,022,573,
185,317,891,882,064,131,023,425,410,179,324,128,861,082,805,345,675,005,093,
727,468,851,293,025,285,209,058,279,461,151,392,401,931,673,324,352,137,906,
708,662,405,362,541,801,315,776,294,901,106,851,199,705,724,282,622,667,622,
612,964,408,664,193,155,668,881,317,464,649,988,892,780,770,854,421,727,458,
135,653,025,599,978,029,482,717,327,777,896,058,833,459,009,342,582,739,294,
627,630,453,513,176,054,011,214,556,221,362,846,349,527,809,119,428,525,334,
898,761,204,464,387,141,534,228,260,911,829,162,784,987,805,209,640,272,619,
518,629,818,409,848,547,304,042,077,744,829,564,033,570,925,546,368,477,650,
580,940,072,713,211,591,135,967,761,576,475,095,237,315,730,911,689,056,331,
239,504,449,315,453,065,622,250,198,996,656,883,089,971,327,900,171,849,437,
571,791,409,450,844,436,752,395,665,066,639,254,942,482,214,456,442,758,315,
935,971,325,277,962,556,855,400,838,363,592,746,424,320,034,864,600,854,076,
959,851,705,945,902,022,376,726,199,894,675,067,054,173,803,464,894,947,955,
648,647,625,189,290,309,197,996,262,774,938,642,764,063,785,685,416,653,738,
650,614,320,100,230,757,511,506,372,339,106,551,007,627,161,204,373,871,237,
558,409,997,147,692,049,774,905,479,017,989,480,351,629,871,356,680,729,011,
528,977,746,609,417,830,528,353,573,778,530,386,610,845,126,426,907,641,804,
393,874,394,428,902,931,082,862,161,941,494,937,788,327,482,417,309,527,124,
253,548,869,989,973,586,833,256,804,091,175,955,184,500,999,306,159,764,716,
642,080,288,393,643,380,229,372,554,153,343,867,625,034,427,819,290,228,310,
418,289,344,145,923,435,760,337,175,029,739,116,486,490,244,266,801,426,883,
397,175,299,558,257,295,489,632,208,552,699,848,200,867,637,338,107,262,131,
748,320,429,832,780,972,460,777,789,632,486,683,329,722,766,825,768,975,844,
936,769,208,083,389,960,643,192,888,625,898,577,790,222,609,799,253,408,372,
261,975,863,662,114,268,103,234,285,344,085,854,796,340,835,783,904,718,403,
275,696,253,261,690,474,642,402,206,795,822,016,410,224,296,563,269,834,583,
037,707,134,358,711,937,501,465,382,716,982,655,390,229,717,473,607,798,293,
308,175,563,169,911,125,869,540,331,451,783,392,981,014,886,893,758,927,066,
287,011,559,075,357,432,769,720,502,361,528,176,063,122,271,814,132,291,321,
300,596,089,680,201,392,318,437,376,391,240,247,774,998,773,982,619,848,915,
186,137,996,366,143,118,504,892,108,871,947,262,646,655,209,196,111,360,546,
746,770,281,168,059,457,453,489,886,397,222,202,319,779,228,895,388,921,616,
234,851,795,722,778,316,741,916,552,038,808,786,682,497,669,756,427,693,440,
274,019,490,353,961,494,293,009,397,160,815,132,062,359,953,964,915,122,607,
596,670,206,785,133,947,425,606,244,042,021,849,347,902,728,987,319,826,005,
319,626,894,573,792,486,217,748,423,957,582,814,899,099,298,591,387,878,446,
940,608,454,322,790,631,930,757,157,946,935,638,138,773,925,483,392,223,305,
272,391,845,102,119,915,323,440,541,642,519,175,096,217,608,531,084,114,815,
206,746,097,153,959,995,845,864,125,924,281,360,848,268,469,916,518,090,819,
704,018,122,787,185,728,056,815,187,727,429,508,360,527,800,464,121,075,317,
466,969,340,035,780,613,239,202,999,033,866,369,653,836,151,441,407,573,374,
694,417,651,467,362,242,253,086,813,909,197,259,206,487,801,226,619,930,608,
696,322,056,546,428,154,249,722,196,322,608,707,158,872,417,875,648,232,670,
832,837,358,614,454,624,995,273,456,057,795,885,636,437,917,499,100,796,596,
184,002,241,353,249,928,654,984,300,321,869,134,312,757,696,688,801,770,021,
966,949,644,619,679,655,116,997,886,358,223,480,285,290,059,075,785,470,140,
121,014,204,426,482,994,511,401,134,571,536,873,742,099,677,233,367,358,269,
286,042,132,621,203,122,355,967,024,493,479,214,956,817,835,091,940,563,427,
519,917,708,789,387,092,547,150,187,757,212,409,741,430,145,838,575,053,865,
181,506,598,214,557,518,073,978,106,415,819,251,702,318,368,363,278,570,897,
145,905,266,819,434,298,094,094,909,576,895,307,490,062,146,672,140,574,150,
372,904,144,423,750,943,897,740,455,964,770,333,145,029,568,877,485,921,333,
635,914,684,824,299,310,123,926,669,994,443,530,354,263,058,318,031,357,111,
064,397,488,699,202,256,364,925,518,023,068,017,339,677,848,930,248,820,538,
864,503,231,662,471,375,613,450,627,828,926,509,078,661,750,210,097,875,438,
417,108,249,677,163,167,360,752,701,078,034,662,582,128,515,083,348,322,167,
903,857,501,113,813,943,745,321,977,832,674,777,119,854,679,657,447,594,685,
552,455,847,833,826,339,279,481,142,468,895,154,381,320,535,548,961,771,123,
491,003,631,061,804,186,193,898,332,543,982,537,383,732,926,957,722,856,416,
818,529,072,058,690,569,508,429,369,764,409,003,345,954,311,077,893,128,622,
258,937,646,085,693,712,528,369,515,007,756,779,357,509,965,189,565,154,788,
558,363,804,170,866,784,701,218,776,684,375,170,225,681,270,343,963,709,193,
533,541,732,543,490,472,380,216,744,609,004,070,763,758,242,081,560,365,214,
139,479,173,331,508,680,859,920,262,122,062,786,906,296,179,863,331,234,979,
770,877,736,144,081,956,525,548,202,189,641,036,416,005,062,674,948,830,302,
709,115,052,096,915,210,528,667,687,466,213,213,543,993,121,098,456,302,604,
448,534,947,756,534,333,707,865,489,674,978,024,302,758,634,374,594,618,558,
924,127,956,979,296,781,895,446,856,550,648,137,785,855,224,097,474,350,679,
224,029,243,498,562,039,929,267,161,934,699,309,288,650,861,782,679,045,186,
596,942,907,802,911,209,277,419,056,837,938,148,714,258,783,393,476,854,278,
372,198,184,708,332,660,757,796,994,749,324,172,113,961,277,313,718,369,681,
600,108,881,140,161,429,262,718,325,240,445,629,520,596,440,327,178,972,954,
498,434,935,736,455,725,153,390,753,661,843,603,804,759,258,825,004,838,020,
629,092,589,852,653,951,206,953,659,881,736,993,362,130,629,993,662,524,273,
574,502,224,490,919,523,434,732,115,827,995,135,026,060,209,832,189,889,377,
125,706,973,026,112,371,484,257,752,132,642,488,801,571,650,162,831,705,261,
410,234,873,570,413,561,245,211,521,095,754,782,548,058,005,695,550,316,991,
574,087,338,053,290,469,051,338,166,611,293,725,444,988,731,040,593,228,996,
617,027,470,943,373,245,966,213,111,685,902,707,861,356,537,945,582,887,290,
738,646,096,684,381,536,405,310,806,400,082,720,088,428,328,506,907,889,362,
210,498,981,273,673,981,562,748,274,922,335,658,393,969,169,626,283,468,470,
207,577,630,677,900,378,778,902,180,380,728,024,584,182,304,125,230,974,892,
713,492,553,473,856,646,072,209,006,514,980,342,128,182,924,243,347,512,851,
591,193,674,342,598,313,598,856,991,140,932,748,412,861,308,039,438,604,671,
842,782,199,890,296,114,180,359,483,834,737,453,256,147,300,917,171,321,436,
289,234,806,916,755,168,683,382,162,145,483,168,555,530,815,540,748,039,608,
596,100,498,162,383,906,185,340,091,954,863,662,105,887,850,986,699,471,900,
913,522,180,282,928,845,950,194,382,794,523,025,776,257,832,738,455,160,824,
004,127,809,462,805,943,564,227,003,890,044,069,818,907,888,885,874,014,488,
074,474,574,756,602,298,070,098,100,570,013,975,687,717,186,625,833,030,695,
502,009,615,086,556,999,928,324,549,635,460,387,403,295,378,725,135,349,128,
580,532,900,603,130,705,068,180,989,593,493,821,020,485,055,803,502,711,240,
274,828,822,232,622,533,940,622,875,354,081,597,328,426,627,684,774,595,345,
809,043,449,812,975,585,851,809,593,173,949,162,797,056,681,647,250,155,448,
841,972,484,069,462,339,980,520,161,006,308,950,962,656,359,942,702,412,190,
763,895,661,232,471,450,351,663,557,587,046,475,490,758,332,592,917,320,734,
892,178,043,305,826,929,883,882,058,589,657,306,014,100,412,850,080,162,546,
404,777,933,445,884,850,589,737,719,429,398,114,166,336,349,859,643,215,992,
409,616,210,228,777,417,251,628,017,070,396,219,487,691,873,734,621,327,533,
779,970,595,558,998,097,421,379,059,008,307,888,911,315,547,656,345,800,226,
843,611,772,133,727,234,037,831,713,418,426,970,715,822,007,603,477,543,327,
204,731,621,198,690,261,801,233,840,211,470,832,746,531,399,009,395,497,203,
239,845,277,522,887,778,826,667,944,564,700,413,826,175,798,185,059,728,910,
204,914,899,071,095,336,912,660,169,310,928,530,870,422,067,357,040,743,828,
974,176,394,230,101,038,315,516,204,373,468,774,648,913,005,511,855,192,941,
847,342,022,658,988,024,084,895,053,072,111,129,195,257,195,994,699,947,248,
242,337,674,267,571,981,848,706,550,312,794,863,326,420,982,261,256,056,255,
721,135,143,158,553,603,176,289,164,674,006,091,430,161,464,072,155,936,173,
349,137,661,599,512,248,994,981,680,535,122,178,344,095,844,633,234,082,293,
770,610,800,972,241,892,386,790,986,044,305,231,676,036,127,924,066,419,126,
406,437,670,709,181,846,291,049,989,740,543,954,103,569,862,973,723,803,332,
547,171,152,153,979,681,283,812,370,063,487,213,916,045,063,943,405,513,671,
919,616,527,522,466,760,336,711,684,876,251,792,870,986,144,343,259,746,216,
617,139,278,822,140,409,116,325,766,326,069,959,074,131,273,225,763,418,064,
960,837,154,077,955,675,146,108,670,504,428,869,050,186,462,054,204,331,034,
845,290,649,177,248,868,293,346,517,570,725,494,932,104,584,164,057,012,658,
202,536,399,625,443,803,045,984,113,932,781,592,424,053,177,418,419,558,097,
884,701,720,468,304,469,034,002,172,728,251,682,390,560,351,334,788,860,160,
360,190,765,245,258,311,081,303,893,585,148,542,239,301,617,724,480,385,846,
946,738,412,297,226,829,867,657,124,431,109,240,095,443,725,457,078,366,288,
464,760,116,646,942,651,445,561,568,749,458,320,476,626,389,545,984,095,585,
341,466,997,802,782,292,025,813,667,378,456,388,957,336,538,209,874,461,838,
362,910,536,570,567,051,530,275,383,554,930,808,542,777,688,169,665,570,427,
639,815,113,343,287,116,944,957,912,477,860,488,557,012,186,455,008,455,497,
469,610,557,256,765,651,277,404,645,965,939,562,018,609,245,099,271,292,313,
417,464,463,971,101,423,569,629,262,046,778,716,164,252,594,883,928,441,108,
236,488,121,816,281,284,809,876,578,914,156,303,160,284,421,226,829,236,228,
889,722,418,178,887,359,464,280,054,940,399,320,637,210,500,590,589,214,864,
324,986,511,784,326,282,075,296,417,549,494,250,995,477,715,996,552,127,166,
871,819,991,440,258,778,317,088,300,746,676,163,693,624,485,605,726,414,893,
306,727,674,830,456,143,616,967,058,560,507,318,635,409,876,528,413,591,365,
654,298,388,842,575,837,988,462,265,710,201,284,404,810,137,080,586,424,209,
998,599,198,785,916,337,355,012,443,310,637,164,930,209,659,562,043,184,778,
214,812,168,875,221,481,450,573,362,513,111,796,321,869,602,443,487,072,483,
880,184,423,757,894,910,446,870,245,450,152,828,071,808,438,500,403,175,580,
764,400,174,842,446,876,505,414,911,240,777,467,008,786,073,184,298,947,620,
055,046,461,850,098,534,939,445,133,660,692,951,970,648,597,179,627,703,109,
560,876,215,542,171,540,964,621,442,643,925,160,566,454,495,069,707,213,909,
254,191,929,941,088,013,358,625,112,804,579,530,367,155,813,197,609,101,810,
429,290,193,701,994,954,056,052,972,971,975,312,763,401,762,261,647,174,709,
530,343,362,672,029,125,804,914,660,981,746,523,906,675,641,924,903,115,704,
200,563,659,664,149,456,807,476,136,918,620,893,029,001,453,390,307,780,706,
513,625,645,096,353,641,813,018,834,534,342,885,435,599,469,964,734,855,995,
058,674,374,797,425,696,835,439,496,021,466,239,353,596,633,361,853,704,808,
948,276,057,271,014,197,484,078,524,223,458,191,981,052,926,825,191,974,730,
634,142,453,022,636,433,588,599,725,347,466,743,385,119,987,261,127,700,036,
063,761,089,043,339,686,432,219,441,058,960,124,599,218,059,388,520,965,204,
151,583,455,244,573,342,929,669,183,502,464,220,974,637,390,669,314,545,368,
170,528,557,249,668,543,507,965,004,799,281,539,913,528,649,656,398,081,139,
229,831,456,572,134,221,330,173,840,732,954,764,107,720,170,925,375,389,639,
892,826,158,596,030,798,877,776,001,802,878,241,268,850,851,770,017,332,972,
737,989,759,341,679,466,021,842,982,445,729,014,733,396,572,502,076,482,581,
612,901,901,355,630,305,922,029,754,089,293,946,898,922,287,115,847,724,866,
557,298,544,942,378,054,834,385,651,966,297,212,674,015,806,970,605,977,770,
823,739,877,462,645,769,595,488,407,927,200,862,832,353,486,445,459,948,260,
773,987,698,446,871,542,921,744,318,140,426,204,498,625,591,075,103,036,185,
649,560,149,347,553,233,404,468,076,474,633,424,993,936,913,900,475,100,090,
101,566,708,711,332,183,578,651,362,771,340,177,385,137,836,555,246,153,540,
421,234,979,201,084,381,912,629,592,779,425,321,589,226,849,880,899,219,665,
590,686,270,823,370,680,590,311,760,935,338,726,293,453,890,157,244,760,146,
476,649,309,180,309,239,095,069,547,915,343,587,621,960,685,751,651,436,133,
149,538,522,652,928,043,322,943,748,180,958,304,117,200,509,367,843,176,182,
057,660,390,507,160,262,666,960,656,313,003,213,553,067,039,196,576,233,142,
624,373,390,583,717,392,067,354,003,293,260,554,752,304,402,190,665,608,568,
815,551,223,597,478,508,792,520,699,835,448,174,484,564,784,456,772,471,074,
048,983,242,674,356,003,549,401,505,677,565,734,288,796,497,445,244,022,971,
552,345,553,589,844,042,787,267,131,177,548,579,948,051,711,794,488,199,814,
020,610,277,590,494,190,423,499,039,776,085,578,555,687,822,617,508,694,726,
693,797,128,059,002,325,094,018,613,605,931,064,812,522,208,805,351,282,024,
116,941,495,315,692,350,839,889,724,147,216,678,989,802,198,246,581,719,218,
497,504,740,790,332,079,070,697,490,749,729,740,857,428,856,846,465,480,780,
171,808,448,791,047,774,668,570,680,540,008,739,229,070,791,144,891,473,506,
029,740,916,857,979,966,830,819,834,153,996,683,763,501,381,506,606,484,931,
881,444,265,481,565,867,460,960,387,013,587,337,718,021,388,357,359,742,744,
136,770,125,078,871,065,551,108,400,953,925,597,385,633,240,044,125,505,280,
318,269,160,379,300,813,599,377,627,848,085,633,684,398,979,763,569,431,167,
933,264,113,343,424,077,647,521,320,534,747,610,008,959,776,014,136,121,091,
702,119,504,407,554,658,317,675,371,710,853,419,564,885,961,244,572,848,488,
479,241,690,571,764,246,200,663,560,895,713,100,182,173,989,850,273,418,793,
777,437,745,264,559,241,279,614,176,274,279,772,701,432,302,512,975,069,800,
916,449,217,283,917,870,816,219,238,891,292,670,493,496,455,152,397,590,862,
739,247,711,813,769,891,039,695,002,912,215,155,515,621,202,102,297,307,953,
351,097,995,622,400,076,667,896,493,865,246,312,501,466,949,183,576,611,356,
001,383,406,878,061,835,800,479,841,507,661,499,693,281,891,607,165,749,896,
351,025,259,940,681,496,980,137,324,610,138,257,481,192,768,499,645,429,178,
558,099,104,785,331,315,750,228,291,190,956,795,893,691,517,834,807,175,675,
783,739,393,076,744,039,806,150,359,754,700,008,288,461,305,565,449,400,178,
895,296,416,406,774,055,794,887,447,292,123,924,807,696,333,704,252,370,279,
473,012,662,848,714,190,497,010,234,993,489,720,262,834,244,749,060,519,064,
240,605,413,997,646,227,014,562,957,263,481,694,099,227,911,171,139,610,548,
924,624,849,649,575,843,908,908,504,097,975,597,838,056,332,149,886,806,875,
714,019,965,690,614,068,893,335,228,643,316,377,427,601,763,493,226,420,961,
144,830,532,491,061,961,585,528,764,721,195,035,247,052,584,660,182,937,444,
653,533,314,087,849,412,496,253,025,131,043,929,322,638,727,036,128,980,278,
215,262,170,125,745,461,472,439,879,809,826,673,151,714,837,874,135,755,975,
835,144,058,671,345,482,365,466,149,528,501,488,383,763,059,407,265,506,904,
391,840,293,864,007,779,302,215,308,016,007,989,497,591,491,826,777,833,586,
858,699,006,616,306,920,360,067,293,406,273,720,476,993,063,374,279,811,386,
070,772,982,484,526,839,890,537,817,305,094,011,574,655,449,935,544,000,620,
053,248,845,581,311,583,623,415,049,066,704,606,153,450,488,997,998,758,769,
419,317,460,642,023,967,632,379,527,457,753,403,010,639,314,813,941,202,079,
350,318,446,462,431,264,792,314,372,743,479,863,954,084,126,881,816,835,335,
757,476,813,019,340,566,342,782,252,650,507,859,636,398,734,014,721,460,399,
647,137,002,012,939,152,490,221,679,729,215,690,709,229,481,031,651,929,295,
167,778,225,058,953,113,960,141,698,069,379,652,677,093,743,596,375,873,468,
518,479,514,268,922,746,317,845,933,070,797,458,565,998,287,590,427,427,494,
090,774,088,811,479,843,106,561,518,445,430,548,336,596,680,319,763,696,046,
098,424,618,343,323,687,549,639,810,328,600,739,095,458,113,791,656,570,049,
170,740,496,166,736,953,781,613,382,768,544,963,754,903,778,623,112,815,439,
881,388,301,501,395,585,888,159,037,212,262,554,964,504,237,265,456,767,686,
147,060,519,936,636,699,521,648,015,035,297,614,572,622,964,826,266,529,912,
664,662,020,959,841,365,031,703,542,188,225,194,154,754,803,671,040,211,133,
961,853,613,841,617,602,926,485,272,291,731,437,404,458,629,737,431,791,898,
967,158,351,150,563,829,478,400,206,291,403,220,277,728,040,417,936,895,768,
073,625,730,845,898,231,483,583,890,948,872,815,540,433,690,789,704,970,859,
179,850,262,969,884,018,148,910,013,971,808,426,635,510,445,409,810,638,190,
633,449,885,507,274,742,641,449,617,864,879,916,855,645,965,802,133,994,595,
154,233,117,825,788,297,870,701,713,719,686,780,074,457,620,038,141,172,018,
751,764,682,701,501,026,820,153,699,912,485,366,378,057,713,680,957,945,539,
928,536,146,555,302,531,542,686,335,730,457,058,401,442,577,932,142,872,024,
525,863,905,509,779,810,752,124,813,957,172,046,648,711,985,080,717,798,099,
278,266,347,114,799,534,270,880,497,095,934,956,724,324,363,262,073,028,975,
194,129,199,393,230,180,538,905,447,337,747,032,656,409,558,569,199,408,001,
756,470,285,132,973,621,061,953,145,778,823,357,837,291,197,377,844,678,598,
886,621,984,048,726,899,832,444,844,648,340,740,161,281,727,996,415,275,281,
958,940,971,793,272,341,587,009,503,529,681,220,819,494,159,159,102,446,505,
268,276,519,319,294,537,569,642,806,382,573,286,676,191,165,440,615,678,980,
820,167,456,777,411,098,038,310,513,715,824,533,744,150,531,151,945,539,577,
026,074,406,263,406,156,865,853,982,622,283,463,831,058,544,455,948,606,762,
608,574,125,047,526,228,430,634,081,505,074,808,160,211,664,011,935,639,870,
154,651,399,240,799,444,196,536,236,367,517,655,329,189,134,621,511,231,248,
902,359,207,676,481,505,169,449,927,535,687,017,780,043,448,557,267,584,554,
841,544,388,198,279,117,158,054,338,285,855,839,223,930,805,882,492,235,696,
825,456,951,662,174,247,433,383,428,932,763,424,771,002,199,487,490,243,902,
590,270,066,572,719,488,385,578,795,936,151,027,738,925,513,776,966,844,541,
293,198,097,451,610,718,909,860,079,197,260,658,171,255,544,683,300,402,623,
024,703,752,083,228,762,729,086,199,269,431,197,771,348,203,059,065,908,082,
009,764,861,117,133,924,042,267,203,478,885,771,328,121,692,003,549,287,042,
262,372,864,520,186,705,335,580,611,450,461,853,395,780,562,027,288,566,609,
065,048,790,438,733,338,376,104,111,023,420,069,603,889,017,518,382,281,563,
975,381,819,381,361,726,437,934,884,654,717,867,538,772,588,411,941,829,200,
291,797,432,496,104,410,640,863,639,875,832,350,559,817,754,715,853,496,247,
542,337,555,956,036,561,789,053,062,414,839,839,484,049,978,113,619,485,822,
817,118,040,571,982,635,433,980,060,014,296,655,480,384,402,700,383,375,483,
191,315,918,030,580,240,647,567,830,035,940,483,200,621,957,383,657,184,161,
962,333,444,847,706,021,102,764,533,452,858,954,402,725,626,116,399,683,846,
734,224,306,661,831,506,939,814,505,450,079,728,302,760,343,218,647,122,610,
220,460,691,626,247,562,630,998,493,240,454,456,635,564,820,230,409,070,930,
038,558,355,957,953,740,112,450,318,526,262,087,970,738,989,950,137,011,767,
553,593,756,185,391,360,204,380,507,628,696,730,762,879,765,587,183,112,008,
667,918,864,326,457,197,457,166,242,010,264,602,801,748,240,109,382,436,831,
071,122,017,906,498,316,365,197,971,258,423,775,469,432,759,651,852,206,823,
929,793,863,387,893,368,465,715,219,125,625,797,994,997,125,859,231,451,998,
984,123,889,578,151,018,920,404,583,872,354,874,186,664,972,287,180,966,783,
431,255,837,087,468,001,834,626,489,141,282,535,303,539,039,858,798,586,035,
160,996,547,206,058,585,060,059,696,023,136,430,646,027,711,416,368,778,107,
842,298,765,120,681,446,424,876,281,726,334,596,150,264,303,392,589,782,488,
033,060,119,358,208,926,824,598,292,002,076,236,342,676,711,173,769,061,691,
395,062,755,080,943,881,401,944,481,090,274,389,943,942,763,347,229,046,756,
989,809,236,659,138,681,864,013,619,468,342,395,006,314,812,685,174,142,291,
165,272,350,859,768,029,696,369,093,854,893,034,503,810,169,443,622,509,586,
502,907,641,320,886,904,305,680,944,734,464,681,132,642,519,687,243,829,706,
882,368,787,859,417,662,587,423,255,029,927,214,815,920,367,010,256,606,786,
903,330,470,101,673,985,010,275,049,837,495,951,588,707,553,727,939,618,410,
884,990,515,989,902,712,255,024,710,031,652,929,108,564,699,552,349,075,397,
895,230,571,583,367,412,231,147,263,758,687,118,681,800,232,647,625,183,874,
064,369,695,748,193,511,116,961,466,713,452,322,579,096,836,052,360,094,481,
651,137,075,249,909,043,281,374,914,897,227,030,897,466,390,356,725,522,482,
081,222,345,092,265,681,844,553,156,578,484,075,755,037,920,039,343,260,634,
503,296,309,057,028,907,571,377,941,232,440,293,170,308,909,810,684,081,189,
637,127,429,092,471,325,738,743,310,894,191,086,687,872,765,520,002,598,131,
440,759,039,963,411,107,443,569,232,614,553,229,370,425,913,934,594,515,050,
464,101,659,378,419,479,236,535,664,415,765,079,435,660,512,740,070,703,442,
635,458,232,582,416,212,813,664,754,659,414,351,845,992,917,766,137,431,751,
990,919,980,180,049,965,904,001,831,019,579,306,058,390,527,459,239,890,601,
422,753,123,613,092,125,341,481,199,897,360,777,504,572,262,637,061,453,791,
275,294,109,629,948,034,471,700,578,310,786,244,020,009,524,299,791,343,410,
582,594,094,312,417,638,589,259,742,241,545,958,992,347,474,461,459,934,272,
420,191,431,199,515,869,334,496,881,815,081,208,706,105,590,077,789,947,053,
309,884,871,623,318,660,461,683,938,837,463,718,846,202,522,486,893,450,801,
428,709,115,075,165,248,381,150,019,844,900,220,920,366,214,630,662,409,704,
624,252,766,093,908,704,732,242,135,763,163,394,414,258,181,399,948,179,126,
450,823,286,440,525,490,070,997,279,672,330,668,450,417,302,604,501,709,203,
402,711,984,547,083,943,632,273,496,303,904,863,272,758,564,106,202,530,614,
156,686,064,164,833,147,558,569,005,154,710,291,880,816,906,807,199,737,243,
503,889,148,586,772,795,764,406,050,853,477,175,177,921,972,080,768,097,244,
147,559,769,968,980,153,172,859,481,682,623,472,758,479,348,716,608,079,360,
429,040,486,369,353,669,169,803,930,584,017,951,057,233,770,882,311,830,307,
727,428,577,262,507,081,870,180,477,435,095,455,415,399,715,819,611,579,497,
736,136,110,505,933,138,294,176,815,751,655,808,191,179,664,437,400,591,599,
247,191,776,136,536,761,029,279,463,935,649,558,951,887,934,057,847,458,674,
126,593,084,123,440,223,183,335,513,725,421,131,323,553,738,807,330,240,480,
132,650,429,797,823,489,161,476,332,323,246,681,907,647,088,213,163,692,022,
770,060,832,354,605,453,680,948,782,549,630,956,826,091,682,352,561,955,712,
371,267,306,999,801,753,135,719,991,391,859,933,613,684,116,796,100,875,505,
230,536,818,386,592,765,901,612,494,260,938,551,732,688,131,716,327,707,997,
570,380,370,081,834,280,646,186,944,588,684,447,213,105,605,429,882,041,827,
165,270,115,183,255,435,622,585,856,604,772,247,620,717,170,810,858,083,699,
951,148,226,264,213,008,486,338,599,196,708,236,989,531,856,282,172,640,497,
418,411,729,793,974,027,263,043,532,684,887,250,370,987,723,770,390,996,699,
887,197,724,162,881,166,293,532,249,330,174,863,388,600,536,338,330,694,205,
665,756,403,837,159,646,785,374,093,899,197,928,780,026,595,681,064,994,342,
739,801,076,391,756,564,531,342,581,215,023,313,663,334,092,279,697,240,811,
719,670,015,539,667,488,019,250,398,436,227,081,064,248,583,177,159,971,563,
129,055,460,972,792,508,115,537,697,062,847,439,043,369,246,431,153,436,515,
021,449,264,935,182,134,704,819,096,650,492,115,048,805,129,273,463,166,044,
561,009,889,583,846,486,839,662,026,370,133,279,872,061,917,970,425,899,402,
026,543,500,116,094,933,017,568,122,837,019,788,751,066,862,066,063,916,765,
880,131,437,024,793,004,082,921,010,485,634,346,542,567,388,303,208,740,977,
164,590,254,604,222,960,038,206,546,589,008,544,001,482,575,484,285,047,212,
613,695,206,282,621,741,093,221,805,278,833,221,848,610,452,190,788,378,791,
358,000,263,302,061,995,334,808,754,077,571,687,730,832,133,312,418,003,334,
209,984,788,762,210,971,822,630,078,758,910,877,079,859,989,247,392,049,405,
891,094,313,787,066,484,091,622,784,008,382,834,820,556,795,855,380,746,824,
220,044,802,201,027,611,337,761,044,191,475,164,608,800,936,293,896,571,050,
512,373,688,934,885,154,515,240,105,393,082,928,011,516,319,201,738,656,629,
904,797,762,861,046,654,567,024,738,408,582,599,040,869,503,323,383,910,619,
501,389,490,215,157,504,301,254,981,586,437,417,602,002,877,373,610,436,828,
181,703,731,280,728,417,950,995,236,672,678,129,433,146,379,611,558,826,251,
104,767,275,789,158,564,243,988,536,386,682,184,822,056,043,532,053,004,122,
280,966,599,980,904,400,504,810,490,370,295,823,491,365,109,705,931,539,338,
506,890,668,346,244,763,379,600,055,591,836,514,182,219,207,241,296,706,564,
655,013,134,506,529,825,467,477,143,664,998,943,923,928,854,294,964,656,006,
840,399,706,205,451,438,731,470,947,863,531,316,400,512,631,912,137,427,488,
937,672,118,270,461,289,779,244,801,560,169,942,684,396,222,396,949,994,750,
293,279,136,086,410,460,729,139,394,525,976,435,346,715,087,821,732,744,714,
795,414,475,036,255,152,151,849,602,522,797,013,805,570,756,651,367,535,224,
585,835,361,810,736,634,740,999,516,845,725,025,289,914,421,533,374,215,295,
690,944,067,997,517,540,820,518,041,238,616,465,603,256,674,689,276,302,019,
710,682,610,216,983,472,230,303,860,495,087,379,957,349,322,838,319,410,840,
523,010,820,594,695,405,692,661,901,080,685,949,703,540,391,799,074,807,701,
597,051,649,317,011,475,757,594,624,001,189,707,637,005,779,959,324,765,801,
922,726,975,698,973,760,583,870,415,594,970,852,648,265,875,220,179,658,419,
243,744,176,759,441,619,558,721,060,295,608,642,164,818,784,117,909,228,305,
662,993,550,301,607,407,434,460,508,114,078,643,613,632,426,714,568,483,804,
627,265,482,816,720,972,490,821,860,208,687,747,340,246,923,248,241,644,776,
665,070,081,545,119,150,329,423,001,968,123,707,485,785,848,823,682,089,744,
833,146,922,458,313,418,922,306,110,477,788,614,952,018,211,814,062,168,176,
213,266,418,881,677,923,959,063,887,532,183,012,360,125,072,342,170,510,359,
721,553,889,574,431,146,027,936,634,819,781,868,110,700,253,646,526,780,142,
413,158,901,566,282,481,693,469,646,777,998,715,863,607,538,406,781,214,123,
165,446,737,435,172,633,780,967,980,945,807,287,628,909,546,170,874,803,518,
720,392,153,396,298,977,171,450,744,324,416,111,805,168,796,812,480,085,519,
464,527,165,578,758,870,737,760,356,585,888,018,602,935,260,778,681,144,087,
022,549,699,598,842,964,315,408,796,733,003,801,658,847,973,852,460,090,093,
684,098,277,369,764,134,492,734,993,060,117,235,908,988,330,815,181,946,136,
633,715,995,275,034,503,650,446,435,793,806,858,573,379,133,454,952,894,859,
783,397,563,749,424,589,662,755,832,039,251,314,419,131,250,386,684,489,901,
409,670,674,009,675,483,330,821,695,764,809,041,849,222,817,500,764,016,641,
390,742,058,533,318,329,393,818,874,295,848,205,394,992,887,167,196,074,675,
208,990,524,587,173,845,080,808,704,295,731,534,840,144,578,321,748,157,890,
292,709,439,472,403,873,908,246,317,606,720,362,522,807,050,413,846,243,074,
668,229,793,154,061,043,047,025,998,137,057,038,037,149,563,227,327,089,910,
831,920,820,714,338,506,204,005,492,849,391,377,455,518,349,928,035,049,420,
224,622,107,039,760,451,195,927,309,614,317,060,463,303,947,937,390,574,037,
831,680,832,332,383,776,716,550,340,089,438,611,060,785,640,033,501,798,744,
265,702,556,979,709,004,501,843,832,444,097,060,917,753,662,265,988,623,749,
714,709,054,786,978,717,716,006,497,385,440,782,724,496,142,129,477,253,091,
509,065,707,256,160,253,431,537,378,177,478,042,663,475,646,372,441,815,498,
238,739,951,667,250,096,105,172,060,542,726,498,578,600,065,597,829,645,868,
142,117,224,270,822,454,195,185,001,692,538,244,017,269,746,966,059,402,166,
779,895,687,928,979,707,698,243,871,018,502,917,718,894,428,059,729,994,089,
742,192,948,442,871,668,147,296,573,201,710,069,812,187,387,162,609,675,824,
349,803,049,020,159,769,581,006,238,586,601,655,699,112,060,763,745,407,791,
925,140,449,212,369,952,112,191,129,263,128,600,300,020,712,226,677,467,746,
568,351,794,108,827,894,950,620,054,453,489,164,321,979,815,229,574,585,299,
740,778,799,577,580,594,485,214,385,676,664,711,710,526,424,199,455,129,721,
330,714,248,391,742,440,690,872,130,917,535,710,170,867,766,572,652,708,534,
469,001,978,823,163,263,393,376,884,463,505,089,009,995,014,548,968,367,587,
350,854,621,635,007,442,942,140,639,480,626,664,665,546,274,848,279,889,089,
495,188,037,462,083,421,284,058,994,772,849,304,633,182,146,745,535,575,879,
962,122,881,587,846,017,509,239,116,569,105,351,178,939,709,286,861,735,195,
061,531,188,352,727,169,594,280,356,547,815,906,284,105,243,240,556,258,692,
533,739,550,434,384,581,906,740,685,353,013,665,237,329,161,161,567,873,900,
723,661,609,170,369,235,059,160,349,954,955,356,572,227,722,441,502,369,505,
317,168,681,389,460,233,869,903,603,398,720,144,450,160,588,198,802,573,114,
684,207,593,728,221,993,762,376,571,543,469,929,502,647,232,107,104,402,454,
717,207,661,488,169,993,888,954,687,453,980,267,130,399,308,677,383,647,815,
816,526,831,127,828,129,622,129,434,368,864,574,072,144,244,558,615,048,597,
269,190,174,595,775,564,412,691,995,892,753,693,626,976,399,963,022,284,955,
528,895,405,397,779,884,491,012,107,164,568,294,003,849,860,198,375,942,151,
152,793,891,788,164,117,769,411,912,938,891,524,306,268,167,873,635,441,642,
424,584,361,229,767,604,821,889,337,861,176,610,429,256,321,952,879,423,759,
850,047,685,005,601,396,660,715,156,128,660,719,245,031,854,418,823,876,847,
370,057,155,290,036,937,001,369,063,133,387,567,291,187,273,561,857,249,301,
722,492,474,752,834,201,515,500,156,137,342,407,907,520,276,408,652,494,517,
897,892,750,812,121,073,704,054,468,181,382,243,337,732,833,162,171,244,819,
060,568,781,301,928,654,123,813,845,226,718,509,136,719,187,534,584,968,255,
190,096,907,397,020,236,845,807,963,926,379,388,907,919,590,632,792,242,472,
528,591,888,543,861,884,846,694,492,050,586,940,330,740,991,869,677,341,476,
080,320,022,906,780,868,406,763,022,591,655,696,746,407,241,636,663,752,355,
519,188,977,000,718,590,196,357,746,437,928,469,012,667,048,738,592,315,389,
435,988,450,804,197,704,375,931,153,226,024,380,637,405,368,150,764,554,045,
791,998,961,407,461,815,011,051,732,312,390,882,891,087,661,935,228,316,218,
047,049,334,861,625,094,907,188,780,074,207,738,950,729,143,420,861,258,552,
378,834,488,547,896,633,673,144,882,636,748,454,076,718,892,000,761,106,742,
885,768,369,976,750,710,094,882,921,895,972,605,846,016,924,466,146,663,466,
706,007,726,340,750,487,918,923,816,447,744,212,512,923,399,664,748,951,037,
619,624,009,026,985,474,581,645,948,907,699,067,826,965,138,572,195,278,529,
574,639,004,370,624,309,875,563,469,344,686,398,278,334,900,733,352,442,412,
905,451,107,282,829,176,608,695,820,149,072,999,069,687,745,300,435,352,919,
142,877,950,564,438,717,887,510,344,616,569,703,495,839,059,788,869,027,685,
922,448,780,121,606,554,770,329,563,077,738,372,053,859,779,710,620,284,001,
182,263,821,504,582,889,926,867,981,797,598,411,652,231,108,143,794,806,440,
786,337,361,566,046,670,558,622,405,127,807,293,263,383,868,526,689,593,910,
409,081,436,955,728,487,098,602,393,910,217,898,010,320,713,215,605,371,468,
822,691,852,163,004,988,821,976,126,126,605,781,269,642,815,902,851,911,476,
506,067,032,002,884,141,297,491,644,233,889,780,925,317,185,057,040,927,307,
941,009,957,926,196,181,037,851,968,266,855,524,406,125,961,519,621,205,784,
013,635,614,832,882,252,182,814,234,959,139,562,821,648,530,536,453,002,822,
402,743,799,224,311,244,462,886,319,670,405,401,088,874,761,592,094,092,970,
761,517,552,851,438,991,300,563,931,547,122,818,710,263,565,122,591,549,733,
996,861,826,867,818,327,579,417,008,196,667,483,171,883,166,826,719,088,838,
794,400,523,711,787,402,457,576,784,702,837,267,527,612,455,964,118,431,070,
810,777,502,369,351,801,070,175,239,261,597,704,084,063,776,287,595,576,066,
988,245,643,463,023,702,076,730,006,210,159,626,329,938,375,858,601,601,052,
603,000,379,482,770,777,159,356,255,730,986,645,717,624,039,867,656,992,262,
716,866,342,567,563,235,034,415,215,226,347,036,265,288,192,684,156,938,286,
865,992,098,033,674,205,891,390,276,472,951,500,308,130,271,462,657,495,797,
572,585,601,718,727,762,099,345,570,729,416,327,145,020,494,110,928,106,130,
766,581,558,533,993,534,882,286,510,656,352,447,317,784,809,241,748,436,262,
965,559,747,707,495,493,883,760,495,132,664,485,189,556,392,439,224,875,893,
886,578,457,411,729,291,633,826,725,573,410,734,959,174,561,663,536,374,709,
895,955,108,770,574,549,905,223,796,594,588,313,817,230,512,476,177,286,814,
307,851,175,992,444,414,579,471,726,661,648,241,681,234,125,975,152,504,843,
754,697,569,089,999,832,568,520,191,110,258,844,856,311,157,434,713,430,404,
795,921,573,565,444,373,248,666,348,924,506,266,794,139,525,961,357,805,787,
723,411,489,360,649,519,269,037,936,371,094,109,709,932,876,262,511,785,830,
338,997,410,919,851,042,109,624,462,900,853,156,667,356,828,067,556,665,411,
077,875,279,994,015,405,452,655,665,770,741,810,476,275,768,806,522,425,425,
415,628,484,636,549,231,354,698,392,592,799,504,103,197,766,129,492,730,842,
308,015,481,683,591,577,820,288,390,833,383,814,423,218,903,636,449,561,293,
965,907,657,401,536,753,896,110,074,481,189,073,295,975,153,367,856,957,415,
821,930,426,907,176,394,764,046,407,534,271,046,426,926,702,079,920,124,213,
730,984,423,546,504,293,998,507,201,956,843,396,712,691,591,713,452,646,965,
902,838,753,615,904,548,300,655,512,392,675,029,375,691,813,701,856,882,832,
672,467,052,841,372,130,452,563,424,718,738,422,785,312,521,598,374,299,851,
289,715,287,471,120,032,961,144,902,626,421,477,775,516,327,243,704,600,960,
264,054,297,217,011,808,561,415,229,517,944,489,301,544,778,705,871,426,381,
539,615,355,562,640,622,317,920,799,470,606,581,548,975,308,077,532,783,003,
325,773,461,574,962,885,923,217,831,934,913,977,071,321,275,857,304,883,279,
179,619,690,156,657,984,927,372,792,576,907,158,696,821,187,681,517,011,692,
236,763,455,886,153,035,513,621,627,137,994,162,318,015,342,259,758,320,780,
645,268,507,541,357,133,873,267,631,968,145,756,641,259,345,755,720,260,000,
423,988,859,393,369,886,283,643,668,913,316,465,315,102,798,845,609,530,408,
908,879,009,304,345,385,767,863,726,475,013,677,524,256,823,731,206,526,821,
855,282,445,768,131,594,963,087,553,311,448,268,002,737,140,327,969,567,253,
541,133,757,630,879,430,707,189,907,799,981,842,847,030,562,442,483,368,660,
600,982,706,227,404,719,691,776,476,912,170,317,498,430,998,720,078,117,353,
145,645,777,811,218,375,157,265,467,197,453,033,813,923,586,342,249,905,799,
371,237,375,231,709,290,725,599,401,832,824,359,959,443,687,190,756,030,929,
406,395,738,781,646,852,998,797,955,902,948,902,928,390,693,078,847,653,497,
038,617,785,269,393,432,272,473,171,414,845,718,195,279,528,537,636,615,425,
150,088,215,327,496,346,269,687,142,047,618,888,705,475,003,754,307,829,249,
523,371,154,276,125,574,288,251,722,418,999,003,603,874,524,830,412,285,395,
033,815,671,980,052,516,352,152,944,694,719,750,466,706,587,812,983,027,914,
314,255,817,738,032,477,378,934,918,748,452,702,468,336,244,589,539,647,090,
500,120,451,144,435,341,339,871,267,331,293,435,109,049,694,168,204,957,795,
285,012,019,128,959,576,018,019,333,212,575,570,648,611,929,322,976,469,813,
108,571,773,519,718,193,004,912,623,578,835,975,692,371,463,838,018,054,809,
713,578,558,596,071,853,779,672,351,351,476,986,144,014,228,031,150,082,625,
717,811,610,728,854,516,998,378,432,448,263,127,243,505,388,412,170,575,608,
950,458,415,983,077,741,573,488,861,752,199,556,469,974,568,016,258,605,913,
988,841,454,755,555,355,816,543,905,919,331,730,221,780,812,459,853,261,703,
919,739,377,289,222,867,376,336,286,861,026,223,571,252,951,594,710,308,349,
689,670,994,182,241,376,350,444,052,897,168,310,398,374,655,671,892,248,837,
496,228,711,381,417,376,462,622,656,081,842,533,413,679,951,223,816,040,716,
365,704,163,261,345,969,162,906,227,925,211,518,309,944,291,438,478,660,193,
828,465,746,996,431,607,006,650,357,401,462,623,630,347,524,170,557,463,901,
396,949,613,479,996,628,322,481,810,976,416,547,157,418,995,680,695,932,713,
020,180,794,849,621,251,392,390,500,282,381,421,501,143,292,934,608,551,858,
004,680,246,952,967,528,233,365,894,923,320,316,527,833,442,366,446,207,036,
405,359,153,181,944,995,625,595,697,557,047,990,432,204,133,225,511,461,672,
812,738,728,953,678,203,812,413,306,931,235,521,844,389,529,410,845,909,459,
480,050,326,600,883,183,303,959,427,319,862,441,822,844,578,150,327,311,850,
677,305,049,025,102,976,229,037,827,302,227,385,912,298,698,675,333,475,506,
015,680,652,676,449,850,972,270,022,124,822,182,885,871,062,916,637,175,997,
336,860,421,971,853,157,322,562,228,097,019,528,681,043,841,027,424,108,311,
706,362,839,218,138,196,208,727,256,416,486,452,232,326,659,804,571,538,535,
273,690,827,906,976,657,388,400,540,803,424,909,090,846,366,736,705,046,800,
013,377,046,736,340,121,668,071,962,498,362,390,146,940,946,752,613,959,373,
941,589,088,265,005,465,855,417,959,434,903,017,967,658,063,513,968,466,224,
474,177,254,475,468,619,021,616,335,440,689,876,747,415,104,409,439,838,198,
303,693,957,881,068,626,643,595,762,835,044,274,696,231,025,971,823,435,596,
062,747,417,128,109,251,730,035,091,510,997,546,556,301,393,116,212,690,280,
990,338,140,198,542,444,128,231,937,482,341,900,557,934,373,806,535,286,479,
951,739,214,915,411,229,660,855,846,974,550,023,027,100,261,429,233,501,031,
422,265,157,611,933,565,294,974,367,038,697,569,097,778,504,164,891,357,721,
200,036,657,786,605,975,322,909,776,483,427,158,620,933,581,590,530,284,610,
939,534,085,190,507,272,064,748,127,031,633,741,965,463,478,313,314,514,549,
872,832,453,437,128,907,890,742,552,525,693,507,541,569,104,510,723,995,686,
868,262,037,125,982,329,044,675,420,247,361,781,044,466,979,203,557,761,178,
426,875,324,172,819,874,795,225,968,429,048,826,611,460,609,545,086,038,865,
451,682,067,476,323,116,000,962,150,677,397,275,684,678,933,041,139,511,025,
223,379,367,236,827,715,534,121,089,962,358,187,903,668,830,452,734,813,578,
824,739,076,520,208,938,437,969,751,075,063,454,181,173,841,904,284,417,211,
669,725,027,575,225,870,558,353,678,961,170,480,566,871,427,266,629,780,436,
730,414,890,149,350,022,262,738,127,086,575,015,957,864,553,603,522,978,765,
281,026,171,153,329,660,973,137,714,621,712,538,227,964,038,934,230,690,659,
020,512,506,472,204,803,357,545,189,710,360,056,278,248,928,794,483,848,899,
436,142,729,142,751,005,558,554,499,128,329,317,234,900,930,237,818,224,949,
553,234,045,144,457,517,961,344,538,099,613,803,610,045,379,728,472,704,381,
144,872,445,887,525,538,494,983,985,719,620,248,562,876,335,194,973,589,360,
269,651,161,574,498,777,203,387,840,764,621,787,574,979,566,159,046,671,293,
996,217,910,552,973,008,088,535,700,036,885,271,152,391,376,965,490,640,935,
400,387,979,990,992,383,637,476,723,003,066,326,639,654,717,106,746,066,406,
451,778,654,028,747,782,414,682,042,545,640,204,267,385,525,248,401,227,138,
526,581,614,605,257,275,884,270,530,060,605,915,485,781,530,081,533,229,990,
223,213,002,994,994,345,426,621,413,849,323,374,963,710,514,868,805,505,033,
773,512,559,842,129,451,713,299,589,797,941,369,166,310,581,838,218,403,554,
696,580,150,197,448,720,353,487,928,211,654,095,298,017,246,696,546,483,621,
058,044,938,412,281,107,186,235,250,766,343,195,243,303,963,581,695,589,412,
694,071,162,226,714,155,132,628,201,632,726,733,940,230,015,824,320,835,515,
740,101,976,810,694,897,405,868,988,825,570,689,623,881,187,801,796,277,415,
635,723,387,046,383,159,257,856,075,250,240,529,492,875,812,626,212,928,019,
142,806,087,812,940,133,955,582,718,605,484,983,375,868,763,689,790,097,217,
692,536,772,847,432,775,814,073,858,521,165,449,462,355,828,456,409,409,485,
143,251,891,037,827,003,801,999,262,759,357,442,002,609,667,193,843,073,259,
497,679,635,878,593,652,139,439,322,415,820,827,687,440,374,491,298,940,625,
759,060,445,308,140,892,365,745,177,221,173,288,440,627,672,736,233,125,150,
056,234,568,083,943,014,384,262,890,734,041,904,957,940,194,456,150,736,951,
509,867,059,296,552,710,592,664,253,465,424,296,614,652,941,998,354,838,358,
281,061,784,566,159,600,810,565,029,092,572,155,933,631,577,428,853,811,953,
961,731,225,457,839,636,929,916,273,252,302,299,419,642,573,510,571,167,948,
631,550,705,771,989,028,434,138,837,120,835,375,943,576,140,914,029,983,788,
121,614,688,605,569,396,061,644,906,831,101,928,462,603,059,300,205,629,414,
611,878,622,272,440,436,527,612,813,016,966,492,760,291,376,116,503,455,786,
627,643,972,273,642,739,007,570,710,879,741,824,271,471,362,938,144,069,420,
116,299,697,518,181,866,192,003,837,170,477,357,860,805,370,686,578,200,381,
032,179,107,822,752,474,486,665,645,604,758,509,299,058,257,404,576,785,719,
102,763,671,781,149,231,472,069,386,501,976,243,643,567,174,539,352,255,615,
300,884,553,489,901,266,636,664,983,762,366,616,048,691,381,955,325,899,682,
530,841,951,782,539,665,326,997,906,649,009,541,241,027,730,341,032,528,688,
139,856,547,694,880,598,475,926,890,883,058,035,346,396,024,904,512,647,868,
382,314,979,670,912,240,142,752,938,921,863,683,262,273,628,326,915,977,031,
312,251,211,334,048,121,278,536,106,065,431,142,168,493,601,797,463,717,024,
363,653,442,102,997,285,770,806,081,456,325,004,544,107,960,258,497,845,884,
275,991,422,857,177,439,518,326,692,391,876,624,651,861,627,647,721,235,218,
745,409,819,880,834,043,341,470,170,341,706,495,856,562,536,473,828,556,171,
794,399,348,515,574,439,797,760,257,990,436,323,538,633,749,992,266,856,618,
759,946,969,929,913,275,823,079,392,429,870,357,149,395,011,305,282,932,436,
891,745,502,323,958,249,000,989,912,624,426,298,690,321,399,650,867,753,391,
830,883,803,110,179,211,933,272,797,451,392,243,876,162,407,593,067,297,350,
669,753,201,781,316,822,499,706,180,281,042,150,761,276,097,153,066,875,928,
181,191,083,587,386,296,461,109,070,136,099,599,083,324,194,482,253,029,431,
999,599,482,827,332,500,769,863,056,724,067,206,967,595,701,637,562,639,216,
630,599,268,070,311,952,086,237,219,964,061,422,498,897,929,471,408,447,533,
984,729,013,035,871,467,141,800,731,947,802,565,748,320,770,280,165,739,764,
707,434,490,316,767,019,989,077,713,087,231,146,992,166,644,407,722,175,703,
049,817,598,119,630,301,669,086,659,362,948,453,735,238,071,595,439,195,210,
184,435,007,491,486,346,147,680,915,813,634,573,758,498,511,152,161,680,149,
642,733,703,439,328,347,363,672,874,026,803,634,811,490,805,615,533,645,779,
705,109,675,822,742,685,937,342,072,323,214,733,668,733,197,278,042,448,998,
045,351,738,066,438,430,561,670,522,956,891,665,901,301,417,481,397,156,900,
838,693,385,323,882,603,426,477,531,184,300,236,636,860,496,821,131,180,416,
077,069,779,956,986,149,370,088,330,408,298,364,552,783,859,334,846,396,351,
560,372,208,516,467,288,569,374,730,583,457,149,275,044,006,169,083,630,004,
986,259,242,505,665,298,433,593,504,168,326,137,338,771,642,147,015,642,465,
381,005,395,101,768,863,616,406,398,543,870,465,891,121,229,253,870,600,737,
672,883,582,906,741,374,486,531,667,027,347,583,232,982,984,366,854,333,918,
021,190,871,214,950,701,891,155,895,090,054,821,042,819,114,911,763,895,557,
060,812,259,795,014,733,433,659,128,797,974,505,857,054,003,052,417,430,747,
058,742,902,754,764,190,860,227,191,492,146,271,929,500,218,802,697,172,759,
420,111,192,916,886,159,477,384,903,030,282,712,513,960,762,561,399,704,603,
670,823,533,411,795,341,505,324,918,979,934,186,591,967,271,660,901,461,877,
255,687,925,717,191,501,571,654,528,245,610,717,442,302,799,218,485,279,115,
172,497,450,311,231,173,509,281,452,755,659,662,992,569,703,009,897,378,260,
284,595,604,162,028,523,105,882,773,246,468,953,879,336,287,684,601,983,639,
430,887,448,199,935,739,612,695,196,193,029,177,882,275,218,778,500,456,530,
925,161,234,231,347,308,707,518,311,468,316,576,384,872,274,529,257,051,660,
306,477,920,627,423,036,647,945,287,472,579,369,928,093,766,504,028,981,349,
934,560,217,293,414,615,679,102,253,475,097,477,446,857,838,732,106,871,009,
496,771,535,057,319,246,903,279,552,169,487,196,101,385,099,108,480,966,133,
099,984,830,941,733,077,908,923,341,732,209,380,907,488,524,672,441,053,260,
699,734,692,401,534,123,176,500,997,981,839,543,369,961,374,409,694,585,589,
051,996,598,792,795,197,294,475,142,672,500,629,017,650,088,913,607,017,798,
170,031,622,179,870,555,224,164,294,024,046,959,855,100,478,118,901,889,756,
310,949,836,890,307,975,056,894,977,344,371,630,884,528,315,647,801,910,967,
853,598,494,139,666,275,774,734,878,944,455,753,539,419,214,833,543,057,920,
054,750,709,302,161,389,196,130,731,015,225,686,494,904,264,071,079,401,362,
956,665,531,981,826,754,643,587,067,410,421,211,696,625,083,451,809,727,478,
757,029,385,061,345,491,500,936,936,119,784,911,912,187,996,938,600,340,262,
074,693,292,259,618,734,235,656,756,088,020,104,914,720,150,556,205,472,057,
679,761,081,549,877,303,311,346,565,439,427,512,280,817,944,529,025,279,225,
648,863,514,244,965,250,203,766,018,704,285,854,002,506,049,826,522,287,466,
377,692,848,391,912,072,046,965,905,292,500,972,000,491,680,679,739,520,480,
873,119,202,593,959,284,656,410,820,349,905,331,741,140,205,154,139,264,422,
759,678,816,210,265,820,803,586,668,150,448,643,664,915,840,981,719,817,979,
706,375,158,581,674,085,861,773,238,878,981,254,874,404,809,506,000,316,218,
666,369,625,277,604,783,228,094,818,727,485,581,897,547,538,903,065,559,412,
178,092,461,914,807,934,455,016,027,750,670,627,409,642,201,065,143,640,235,
621,487,459,957,786,646,236,996,037,619,721,358,873,786,706,569,321,866,707,
624,551,778,568,937,720,760,061,081,710,737,534,431,272,752,940,924,416,841,
318,542,402,469,363,177,633,437,758,331,845,760,764,954,261,807,372,630,417,
852,367,821,268,896,375,794,283,747,095,653,421,476,418,786,505,483,459,337,
317,247,542,268,553,137,565,408,741,891,544,246,754,107,082,310,807,387,404,
356,371,313,792,881,840,627,285,803,590,293,148,302,644,161,304,934,631,248,
611,134,354,357,967,579,150,669,370,467,656,884,249,915,480,556,827,497,401,
782,913,035,695,974,630,854,707,971,404,117,289,262,171,171,913,876,713,313,
687,809,779,877,725,701,054,433,097,176,055,979,968,772,145,798,289,669,436,
845,378,654,599,814,072,697,055,579,203,868,547,075,916,292,303,640,051,137,
467,071,523,258,469,971,450,934,219,995,314,444,204,998,708,122,559,001,732,
617,901,947,729,542,626,710,477,306,661,097,888,273,406,964,032,189,040,877,
776,867,753,609,159,509,022,041,048,402,270,960,842,784,402,016,832,000,349,
899,302,914,098,085,269,144,635,342,363,632,271,879,872,874,535,781,611,669,
788,004,878,076,213,611,818,484,067,555,488,611,956,839,381,440,470,664,749,
498,466,421,354,297,718,810,738,921,892,696,927,660,978,243,455,015,377,359,
651,097,794,552,234,650,296,349,403,748,583,472,846,426,136,684,439,437,223,
672,974,328,980,398,765,729,383,243,732,761,551,025,893,545,999,248,944,458,
223,783,746,360,947,055,403,698,496,251,904,801,496,639,546,775,510,396,139,
329,347,444,732,192,743,034,902,574,429,624,370,984,578,726,420,413,530,899,
265,615,453,139,470,025,272,922,723,511,900,628,476,526,710,876,812,301,546,
262,671,703,354,246,531,894,907,751,081,691,998,182,022,763,525,848,435,062,
491,219,200,844,595,711,165,915,337,731,486,111,321,557,248,968,856,278,135,
665,924,679,663,432,080,394,796,209,808,695,663,529,559,671,731,293,311,202,
496,676,907,467,869,979,583,016,591,026,638,290,697,579,994,393,092,383,563,
362,524,676,413,474,745,771,726,173,467,176,069,415,526,516,338,293,946,330,
855,074,959,902,535,519,795,417,739,409,692,841,936,444,051,860,879,567,367,
798,662,109,915,394,461,431,174,080,450,627,553,491,269,280,543,356,222,870,
575,900,294,143,779,863,625,699,868,885,782,750,607,360,077,528,466,852,905,
073,282,913,963,806,793,676,701,711,833,535,143,276,410,532,045,832,722,372,
841,317,260,119,665,991,344,324,273,528,944,501,854,587,193,142,692,890,110,
699,286,022,782,276,002,192,487,801,767,601,324,081,187,156,177,360,960,171,
746,978,881,769,420,625,747,681,080,734,965,107,514,560,644,107,069,309,757,
507,486,502,887,939,301,845,045,670,920,069,649,372,736,173,897,077,826,754,
100,810,648,069,929,313,515,170,609,298,488,297,709,865,156,736,007,959,923,
185,827,268,289,911,609,305,427,849,972,902,492,685,111,716,316,341,169,072,
789,705,376,655,805,580,383,758,092,881,035,711,970,230,691,937,314,837,863,
469,188,091,832,512,913,349,504,382,668,722,876,596,238,583,169,327,099,998,
206,944,659,522,794,598,316,015,021,870,514,044,143,354,447,651,826,193,069,
902,283,515,180,395,179,586,726,079,098,047,276,281,221,357,447,583,929,296,
585,800,073,722,455,741,159,569,531,924,685,317,420,745,987,758,268,103,234,
053,216,248,374,224,531,653,584,812,900,763,707,642,373,660,440,071,339,627,
749,122,798,733,521,398,274,165,597,288,611,599,801,120,692,865,267,154,114,
499,983,707,229,254,273,805,254,187,563,386,528,778,228,896,253,732,408,828,
341,565,615,156,131,204,657,012,819,000,300,427,185,430,148,314,459,027,290,
530,626,809,549,049,898,891,488,881,198,240,066,788,692,473,649,520,821,895,
338,954,536,146,372,701,358,656,810,153,895,437,015,727,005,040,622,168,483,
283,247,163,405,886,069,927,616,148,703,208,741,154,687,012,435,095,213,341,
887,384,333,914,394,946,416,810,753,795,256,266,121,016,852,463,188,526,349,
940,491,277,567,095,315,053,127,852,450,869,064,555,960,992,926,478,771,361,
421,477,643,200,010,616,690,355,299,870,394,142,900,797,763,999,791,854,464,
617,126,252,199,377,984,979,803,261,488,459,311,858,201,345,185,429,722,787,
213,135,145,764,177,473,418,064,756,120,260,039,206,885,248,376,942,280,490,
413,989,493,969,651,431,982,484,925,741,987,657,766,450,593,597,137,186,701,
525,359,333,131,445,023,989,396,656,546,982,992,984,948,140,168,303,989,341,
448,787,361,078,988,899,167,745,739,960,788,398,032,978,444,216,366,386,513,
944,395,870,429,592,337,660,864,837,144,857,970,812,071,069,372,601,227,567,
270,054,678,933,282,997,215,763,319,735,699,207,185,096,006,202,547,048,031,
256,122,487,699,458,091,961,125,455,713,515,263,413,159,066,128,724,840,661,
369,700,782,339,752,210,074,575,041,998,411,657,235,448,847,409,612,862,042,
868,111,154,458,664,448,622,495,536,133,722,657,407,219,735,937,055,696,067,
037,735,868,438,286,110,791,345,450,103,399,956,920,241,141,232,856,506,910,
770,115,308,573,039,441,207,547,643,124,590,820,272,837,112,223,714,095,313,
969,082,915,724,881,942,205,194,303,755,871,447,288,195,518,709,021,651,646,
788,263,111,328,167,582,116,722,420,783,789,494,308,644,747,044,966,947,929,
321,896,932,826,156,060,141,324,950,503,628,546,760,922,432,896,763,403,544,
627,948,329,202,434,608,555,307,403,353,622,946,057,135,413,216,148,368,286,
054,987,971,234,999,953,528,078,301,334,534,445,328,638,120,623,939,087,069,
987,975,064,835,965,051,955,877,506,242,634,228,419,639,794,977,012,832,405,
370,753,983,578,391,439,167,989,326,598,666,728,455,311,086,041,946,759,913,
285,744,356,249,274,678,394,564,937,983,411,339,258,684,372,750,251,652,647,
984,550,426,509,710,120,797,030,096,207,347,970,972,527,711,704,046,339,615,
835,939,508,966,619,107,566,221,588,251,148,496,533,929,347,762,062,989,841,
480,509,601,289,658,997,264,060,481,848,251,339,858,889,677,428,800,251,141,
971,501,897,879,340,485,181,042,783,685,354,622,055,756,128,653,898,715,253,
961,496,678,627,500,535,836,775,857,544,665,429,219,078,231,678,083,900,370,
076,758,471,290,255,565,391,221,409,877,706,741,704,639,150,070,969,000,928,
644,864,909,264,012,266,218,460,807,670,498,227,884,339,613,753,680,127,782,
479,580,925,562,331,372,949,518,488,894,467,722,731,286,023,348,050,253,783,
913,557,268,837,534,875,959,277,055,067,685,064,550,175,194,181,789,285,641,
387,785,446,515,623,450,396,256,717,996,739,021,845,167,784,341,861,516,494,
055,569,235,662,804,410,159,933,876,305,371,737,519,270,018,997,243,447,727,
100,697,001,272,985,434,571,966,107,840,978,052,456,556,606,073,349,133,720,
961,829,720,183,770,513,626,230,714,574,500,110,782,381,842,727,022,917,438,
704,402,111,016,202,398,090,059,629,319,007,173,977,333,227,574,114,977,961,
209,114,910,941,587,858,929,147,448,763,570,342,147,497,243,031,200,780,724,
549,724,303,783,341,524,019,557,383,934,612,180,154,105,678,786,960,535,320,
043,962,605,324,282,593,937,755,206,445,179,971,922,523,747,379,311,040,751,
234,887,081,046,924,388,743,912,852,385,133,230,058,456,526,672,103,404,350,
376,902,674,134,819,916,736,769,971,185,580,885,467,047,558,725,661,807,602,
518,189,151,693,659,917,962,579,875,580,438,810,425,572,830,829,413,915,393,
191,758,468,892,814,294,543,299,017,287,614,315,662,021,239,623,243,302,402,
065,757,479,144,153,501,590,111,994,686,382,284,800,489,625,396,490,117,396,
976,175,217,004,173,847,912,248,188,236,126,228,366,376,703,356,698,398,842,
876,752,726,567,150,365,554,692,086,475,115,426,692,194,384,319,083,441,900,
464,491,194,126,644,360,065,192,267,611,030,568,788,505,707,179,224,054,853,
924,334,893,940,323,103,874,461,197,188,383,030,065,427,515,140,097,474,546,
484,855,538,390,476,765,974,536,238,185,500,224,869,249,973,434,946,511,573,
121,896,161,023,651,319,866,068,853,754,319,165,330,263,632,915,582,614,899,
186,591,871,208,087,231,854,570,707,388,292,266,255,475,442,531,101,646,331,
959,843,195,432,760,710,337,755,838,446,506,777,049,831,279,710,869,552,837,
018,965,416,477,426,354,570,698,088,059,645,446,466,995,976,255,819,914,999,
342,919,534,818,174,806,932,727,119,001,545,770,775,299,344,819,418,309,749,
102,536,944,082,017,922,030,312,416,565,544,071,390,959,376,138,221,073,459,
212,587,047,930,201,950,881,037,719,955,467,225,822,857,655,368,344,706,207,
735,323,093,238,335,469,128,416,727,595,764,266,352,177,184,920,858,465,839,
912,534,433,914,413,836,577,108,626,069,956,379,109,159,527,141,815,937,089,
620,437,068,484,231,933,088,459,470,753,929,307,270,194,954,233,231,603,018,
376,662,157,423,700,778,408,480,521,859,967,412,598,162,976,346,435,202,956,
243,189,993,911,855,983,152,295,298,411,746,956,129,921,875,563,822,827,154,
463,716,301,939,392,635,818,397,094,312,121,624,234,890,971,540,853,615,283,
869,604,175,120,315,559,631,188,933,098,794,377,146,882,155,112,145,904,410,
332,885,294,000,423,371,651,317,803,604,701,809,671,857,689,890,895,025,124,
041,945,020,393,646,505,687,395,312,190,360,967,609,087,950,445,335,786,491,
269,426,502,754,009,367,204,586,082,904,168,992,811,368,364,293,977,949,850,
814,921,540,549,588,696,632,790,169,413,929,604,071,972,220,794,030,581,901,
705,619,399,510,167,759,267,081,033,152,159,018,705,973,300,444,573,978,893,
078,425,075,220,541,123,772,539,985,136,275,868,479,647,605,170,655,988,777,
389,620,496,010,402,204,306,397,387,488,449,587,443,191,887,846,495,124,979,
528,299,380,141,659,028,539,793,160,275,785,930,450,120,650,273,501,811,943,
331,843,908,843,558,872,034,375,851,515,564,140,814,247,348,072,535,689,832,
268,446,142,769,520,160,253,333,326,146,973,212,496,486,471,751,847,825,891,
416,392,010,669,875,355,745,916,358,644,221,814,146,732,451,469,265,015,324,
321,072,040,379,811,996,616,797,326,978,210,288,575,834,754,032,382,794,167,
016,549,096,710,161,507,136,784,217,519,643,916,285,767,956,044,006,085,052,
302,993,351,220,044,875,756,879,136,547,532,100,581,303,184,272,486,697,259,
126,229,551,504,103,397,105,651,883,782,311,872,134,975,869,037,777,543,879,
888,048,314,706,466,108,015,774,674,811,718,013,728,869,164,607,711,912,196,
863,121,884,638,767,989,320,617,916,835,357,745,491,374,197,908,300,126,124,
919,704,917,136,520,160,866,728,811,345,901,053,523,592,035,416,775,532,585,
609,614,613,622,317,744,345,497,926,999,153,915,520,476,796,329,642,653,514,
496,024,869,358,546,333,959,850,047,362,333,551,793,619,677,725,903,437,596,
988,416,951,301,112,724,536,484,769,307,124,122,101,251,823,854,379,928,240,
524,627,550,707,909,818,730,474,630,998,619,953,836,652,242,814,812,680,161,
131,635,800,481,372,102,672,973,175,210,760,193,065,262,067,199,911,051,974,
828,352,296,795,319,823,370,627,313,128,924,820,522,771,330,853,469,156,647,
494,574,824,688,377,357,689,075,411,028,645,571,777,201,640,404,884,413,530,
630,173,418,340,590,954,393,083,917,859,203,033,847,432,057,232,251,482,537,
748,313,926,957,885,671,825,225,755,211,079,068,057,366,247,176,320,979,584,
456,367,922,967,752,888,292,201,181,093,897,972,901,537,561,309,728,651,296,
537,637,702,951,857,818,480,395,579,049,852,430,398,215,026,584,330,907,712,
666,428,546,226,829,193,177,314,052,333,661,707,558,684,639,512,938,939,935,
481,208,661,032,183,688,155,001,099,272,098,388,274,302,598,105,598,729,799,
526,507,689,261,396,302,195,909,588,541,411,586,436,234,780,228,355,034,979,
618,083,825,842,627,851,939,474,124,120,487,255,829,560,226,002,753,906,909,
804,191,356,259,610,763,031,932,038,766,237,678,401,858,338,429,620,760,219,
270,331,614,124,668,081,370,913,002,910,456,946,523,379,513,356,504,184,376,
617,607,653,944,432,162,477,455,445,386,033,537,436,106,746,386,173,116,761,
582,394,913,727,213,593,560,071,990,089,269,703,614,472,698,954,990,033,448,
590,674,265,418,613,258,094,063,422,628,382,092,420,475,009,263,260,370,560,
619,528,433,543,703,311,110,110,584,124,581,583,889,099,505,283,016,807,899,
635,198,863,693,217,284,793,418,993,168,457,769,814,570,105,648,510,037,508,
029,368,342,797,512,299,904,052,921,025,037,698,460,522,545,307,297,127,630,
837,979,639,816,846,675,620,212,668,072,866,422,163,253,580,147,919,725,882,
866,774,166,797,036,948,284,230,178,173,797,227,973,703,265,598,728,243,525,
732,365,405,055,731,092,841,605,871,418,784,039,640,504,830,837,132,651,195,
476,744,313,695,515,439,493,311,977,245,794,831,934,633,836,631,487,990,694,
719,632,102,378,519,504,130,197,340,407,181,362,763,543,777,203,795,208,213,
232,906,376,090,570,307,858,758,881,127,225,687,293,098,096,098,398,107,277,
876,087,504,301,192,213,729,969,429,141,349,359,453,612,201,058,707,951,730,
437,851,682,643,451,081,287,530,919,486,739,891,543,312,018,220,813,279,805,
285,107,636,572,635,750,689,240,595,765,672,852,809,935,642,470,112,940,431,
595,098,222,473,255,161,103,344,829,938,917,179,664,741,816,304,971,722,729,
093,075,189,156,487,716,287,984,099,761,333,148,359,224,855,853,151,640,003,
507,326,179,477,371,770,593,868,496,230,037,848,973,255,305,048,234,177,782,
799,457,618,299,556,455,509,074,399,005,596,853,358,135,575,236,713,109,084,
637,500,746,361,852,793,829,173,205,996,000,425,096,331,231,199,963,006,565,
163,970,278,840,452,925,832,164,842,658,464,879,045,473,123,051,422,879,697,
826,708,349,422,074,778,257,691,664,109,280,636,142,990,162,767,592,300,611,
985,374,575,854,630,646,828,730,091,871,115,761,978,090,132,143,049,109,820,
238,620,418,706,909,444,095,434,407,883,454,314,909,986,651,147,172,850,666,
175,036,558,376,865,331,935,113,196,377,899,015,494,045,779,895,304,515,834,
879,908,995,771,283,858,044,931,482,579,502,861,614,670,290,758,071,029,909,
907,802,404,014,413,408,603,871,899,127,599,719,542,363,813,659,597,482,618,
376,741,833,184,540,412,905,545,130,122,852,928,574,742,129,040,576,606,972,
286,906,261,585,490,210,688,572,499,913,322,963,592,855,053,974,619,832,655,
960,639,730,835,288,445,299,385,633,310,816,756,277,345,846,256,917,106,309,
902,407,859,201,000,862,523,531,093,659,172,464,998,944,159,301,235,471,353,
313,800,587,912,781,550,823,399,271,612,256,431,980,331,047,162,118,726,505,
691,531,258,161,235,976,037,084,189,526,428,103,292,884,494,205,762,906,440,
379,887,246,499,001,019,572,015,041,897,348,254,432,555,910,068,612,251,898,
751,066,135,988,197,557,928,220,044,790,448,429,695,747,773,999,119,700,356,
387,644,627,050,007,627,061,972,713,239,072,603,433,904,473,945,555,107,157,
703,712,458,419,934,515,162,536,317,432,378,127,121,021,108,624,525,114,101,
477,510,264,596,890,962,299,311,306,814,506,540,353,583,653,772,131,643,760,
470,227,804,180,300,175,265,166,072,562,102,290,061,006,583,373,075,480,446,
630,597,445,091,735,313,988,434,792,495,471,751,780,822,080,139,456,078,091,
690,837,720,225,943,469,251,066,988,106,234,970,242,579,678,785,780,148,110,
981,122,051,418,269,288,717,113,238,435,767,476,104,258,313,687,651,420,337,
882,877,209,862,822,036,953,961,287,613,388,728,878,024,370,776,789,030,616,
820,722,336,442,590,489,095,048,611,481,241,823,458,166,979,476,571,543,281,
450,847,704,712,540,734,925,351,102,381,529,223,432,053,475,731,644,981,331,
523,349,187,695,325,205,086,029,019,285,062,124,788,461,314,865,942,704,543,
913,927,482,790,467,830,942,377,850,291,647,921,937,591,423,116,578,174,471,
112,626,123,458,742,374,887,191,362,717,398,044,697,535,129,135,194,738,437,
468,811,476,175,402,892,004,401,077,383,383,128,036,955,843,464,424,318,848,
572,816,794,713,551,244,167,944,807,037,619,944,075,204,946,681,366,370,304,
546,914,560,597,320,239,419,006,499,693,557,106,091,833,337,009,399,738,979,
976,059,959,499,706,709,283,321,358,848,226,276,668,840,040,046,058,637,525,
489,579,270,547,592,512,123,985,965,853,135,016,546,269,608,933,699,648,241,
476,915,815,235,600,799,322,348,878,147,578,188,747,819,832,121,372,893,814,
057,792,571,303,866,104,737,733,081,082,617,699,521,207,739,425,432,212,957,
517,587,637,552,678,797,142,597,155,965,200,826,216,402,421,527,229,525,655,
710,746,876,109,716,853,723,732,413,414,142,285,699,878,147,880,904,894,110,
052,984,838,054,581,465,048,621,976,319,497,346,129,120,492,679,569,474,541,
872,678,174,894,690,865,183,981,149,971,478,295,645,118,663,595,868,786,765,
864,247,204,592,668,181,970,327,703,733,950,702,103,030,269,067,335,325,636,
348,570,809,617,421,605,437,097,654,261,569,903,921,534,281,905,851,818,192,
430,669,809,863,343,477,128,391,306,035,021,132,522,149,754,928,838,255,223,
588,174,379,314,562,018,821,938,046,245,645,431,447,776,807,356,052,078,767,
515,924,812,450,093,353,806,393,728,364,662,078,617,810,691,690,817,454,266,
309,940,935,128,165,974,975,749,968,919,718,975,221,127,215,751,429,663,403,
556,336,370,880,297,631,556,860,722,987,847,042,481,043,142,516,909,970,331,
138,354,339,188,718,054,878,371,790,249,488,672,840,149,109,725,261,097,576,
574,732,518,949,136,944,816,906,911,701,399,274,874,889,063,143,243,409,371,
490,596,526,181,537,589,938,249,350,485,322,060,750,991,756,555,951,717,007,
322,719,318,309,630,158,940,272,149,817,881,575,445,022,485,441,385,042,843,
515,932,324,863,575,548,055,174,568,335,219,788,466,208,243,134,709,607,514,
241,843,347,872,342,795,695,651,923,378,291,557,345,736,281,001,176,306,487,
742,943,944,050,623,310,123,878,720,359,615,182,704,009,124,040,073,907,169,
250,191,032,659,011,074,502,537,564,041,203,070,966,079,706,574,308,006,286,
309,260,764,304,623,060,123,708,401,598,211,825,913,010,125,644,742,433,447,
639,990,614,157,182,702,616,212,457,817,702,092,529,506,058,816,822,520,105,
365,736,113,994,300,559,178,227,516,773,820,791,242,755,056,543,938,278,970,
157,601,749,232,340,025,615,335,091,721,443,817,593,881,870,016,214,032,717,
185,113,354,449,307,241,844,358,055,201,639,951,327,323,300,184,395,700,229,
454,619,793,169,654,817,422,275,296,371,281,421,639,369,788,450,930,258,669,
120,786,966,548,384,806,009,298,521,753,119,801,995,936,958,387,759,063,850,
659,654,612,718,056,086,709,284,289,056,470,222,879,969,737,458,859,207,089,
426,702,506,917,962,514,704,864,676,488,776,186,957,209,331,857,601,097,810,
711,578,798,530,873,697,753,493,708,583,642,854,049,396,609,918,810,878,951,
498,805,350,676,014,532,900,411,905,053,359,257,274,032,040,212,058,082,399,
427,952,162,882,858,041,313,658,615,193,823,923,909,431,364,719,884,975,593,
769,258,156,720,138,024,339,858,272,533,571,838,116,156,728,775,615,043,990,
938,907,531,850,117,246,797,098,387,613,686,129,694,244,629,938,693,369,247,
250,428,605,636,804,694,531,784,438,961,012,641,779,503,398,479,534,137,435,
303,904,799,722,068,455,422,084,324,259,198,709,128,232,687,549,983,966,445,
460,199,069,015,565,167,877,083,729,893,927,254,323,704,065,065,798,846,036,
170,475,520,102,168,052,313,496,152,559,836,734,352,334,088,634,774,459,849,
197,084,458,945,905,133,379,329,873,169,749,498,181,785,289,200,824,241,909,
844,334,506,610,278,835,299,088,776,273,249,061,039,605,777,378,902,152,445,
828,005,642,967,404,720,803,111,969,808,457,061,857,691,994,916,984,492,576,
066,783,595,561,646,444,319,883,064,079,662,140,407,318,666,876,514,635,139,
890,263,174,148,049,252,843,583,389,671,284,055,394,768,779,668,610,468,156,
096,239,086,890,200,829,393,266,805,682,634,643,186,592,741,441,639,625,690,
513,474,530,399,890,184,742,689,993,022,640,826,848,386,718,241,730,765,978,
924,525,778,965,811,353,365,513,632,926,344,943,758,120,324,489,944,370,268,
453,912,344,894,764,526,935,853,632,394,928,677,039,215,906,477,805,713,428,
946,776,872,960,025,322,335,435,019,104,687,740,736,838,034,860,273,659,726,
283,973,914,406,016,832,310,592,081,230,665,466,440,706,879,587,775,784,739,
715,882,778,850,304,463,830,855,551,116,682,135,728,199,639,674,140,157,389,
005,135,262,687,214,566,414,541,670,853,695,241,582,570,784,526,743,126,393,
410,539,530,669,427,159,563,443,696,205,531,879,191,557,813,549,874,900,310,
341,843,369,317,739,781,042,530,771,389,517,120,102,549,094,856,102,830,506,
335,814,850,872,451,244,105,404,193,895,725,842,994,094,219,218,630,983,456,
036,819,661,874,798,420,858,664,686,169,047,292,895,279,105,758,412,507,337,
154,119,351,995,294,537,658,602,971,545,090,656,016,042,537,314,289,578,795,
870,681,535,844,506,837,943,004,071,481,129,431,192,384,291,564,271,313,675,
996,206,153,090,755,111,615,597,881,665,212,050,681,774,701,896,368,499,870,
646,758,194,746,986,151,942,011,240,913,434,103,215,359,533,657,010,112,594,
691,092,977,875,928,595,525,500,403,793,558,995,754,643,540,820,151,831,734,
387,828,654,041,609,849,298,727,031,619,297,532,467,294,262,330,633,554,388,
521,494,542,536,999,098,012,980,684,482,783,398,528,962,858,415,743,415,410,
241,165,827,161,914,330,583,156,871,943,814,684,859,449,002,086,655,363,404,
644,774,406,968,373,705,930,894,985,490,000,324,272,400,770,123,195,527,890,
950,432,259,390,555,372,877,508,678,510,564,820,930,314,684,288,877,649,772,
649,894,533,776,270,297,772,305,310,114,474,586,850,571,663,318,248,333,651,
452,724,563,607,375,887,702,540,925,336,602,347,846,883,692,464,104,542,603,
582,570,742,181,139,529,373,062,255,588,418,485,908,455,092,216,233,884,650,
359,003,657,129,907,455,730,070,683,334,624,306,624,011,136,117,987,572,904,
445,761,592,854,927,148,276,808,301,591,162,875,667,923,713,436,713,129,997,
445,925,204,783,368,106,783,235,205,742,597,631,731,123,140,255,040,183,509,
357,028,279,489,562,189,826,687,085,294,746,528,598,163,993,747,747,222,779,
084,281,905,987,016,475,699,548,646,052,124,307,599,713,839,872,662,006,858,
952,316,159,119,891,249,673,268,478,707,086,258,469,167,981,754,569,787,969,
659,113,884,266,973,742,892,237,742,173,854,430,530,330,910,471,342,342,219,
281,158,279,630,575,565,118,194,563,199,014,964,379,717,357,913,262,506,473,
125,536,350,488,592,348,025,494,431,714,790,686,474,182,708,107,889,464,757,
731,024,408,889,885,134,716,756,176,724,307,819,922,184,415,941,386,074,406,
320,044,153,370,834,861,530,084,514,839,899,701,433,569,449,523,791,946,012,
082,239,325,903,196,098,646,343,233,823,359,776,759,960,959,801,186,890,835,
065,857,968,795,568,320,159,316,091,932,048,768,197,029,316,653,753,034,801,
807,695,481,644,131,470,910,121,044,682,876,880,708,001,917,312,114,603,843,
139,884,021,572,911,718,268,925,815,898,669,356,447,905,165,285,125,350,421,
484,107,206,828,988,829,945,875,913,096,844,678,423,462,550,385,447,332,652,
376,050,107,081,425,011,101,972,896,913,296,755,961,362,066,621,815,014,075,
522,284,026,222,848,521,394,115,882,429,926,998,822,345,958,028,593,970,329,
200,154,776,714,069,189,689,262,296,022,311,485,250,915,599,792,393,656,925,
067,123,411,459,684,478,392,222,691,572,980,938,075,144,341,052,080,178,463,
399,633,662,626,538,472,434,810,152,828,974,659,195,574,339,954,151,681,002,
990,459,856,663,361,222,109,443,507,876,377,706,887,856,300,678,082,682,893,
280,158,517,067,160,752,463,087,667,696,688,916,583,459,609,456,740,153,500,
130,380,675,575,237,435,034,618,477,095,353,496,844,648,908,608,623,367,460,
196,814,014,786,161,597,067,505,423,276,326,940,148,846,866,623,870,086,485,
750,088,423,229,057,106,810,370,888,307,745,961,980,991,836,755,244,526,863,
118,430,653,535,076,224,900,523,586,697,452,181,120,096,089,372,848,469,910,
557,153,941,604,593,185,096,571,423,815,737,268,950,597,004,802,172,537,831,
856,438,797,112,140,255,746,611,127,630,940,612,791,063,681,388,320,222,849,
267,257,725,294,726,915,438,894,155,121,482,387,101,725,522,296,722,791,461,
601,161,835,124,064,407,469,006,168,241,758,139,203,537,211,090,392,642,923,
326,309,232,488,975,300,659,717,391,950,586,647,607,541,791,154,396,090,204,
730,766,869,281,856,888,933,918,867,826,556,027,341,042,438,107,583,347,480,
089,154,535,915,809,838,603,797,527,144,320,666,801,997,857,147,580,841,665,
930,152,192,455,948,814,311,145,195,552,588,563,252,115,167,461,341,372,694,
407,612,740,641,659,724,049,170,203,882,344,182,143,888,895,075,110,505,673,
062,003,851,953,836,165,263,578,192,491,305,171,727,305,777,341,188,896,013,
832,733,990,688,495,758,836,123,319,245,548,775,217,381,556,989,661,527,708,
061,691,443,218,629,770,514,624,167,268,166,763,687,788,658,159,687,239,293,
805,535,637,857,695,303,975,643,103,436,143,205,889,975,972,936,713,857,036,
631,147,996,356,596,280,125,935,932,534,808,741,741,965,165,782,588,603,692,
942,007,514,967,990,014,294,232,435,047,625,768,498,598,039,810,722,915,383,
805,718,941,873,927,266,707,636,646,893,292,506,839,861,960,286,610,342,949,
815,848,814,616,012,818,759,629,846,141,389,535,908,575,412,039,868,402,033,
752,974,680,061,495,972,530,489,961,812,247,891,023,641,637,477,950,146,519,
700,105,807,765,443,281,927,518,639,313,518,090,295,767,634,943,593,213,613,
502,146,203,663,855,646,347,734,724,118,080,605,567,568,877,282,728,426,472,
710,491,376,111,762,254,840,103,393,081,195,714,959,371,106,264,610,089,596,
830,540,787,905,587,501,417,587,605,247,456,260,378,254,130,148,342,303,606,
836,904,377,352,318,272,832,827,013,677,852,547,038,106,973,764,747,732,316,
188,830,323,694,432,848,525,058,516,901,890,259,995,031,267,508,436,572,192,
395,875,375,465,373,619,346,381,441,010,135,817,230,747,498,412,453,125,942,
613,711,602,614,558,467,614,980,014,128,806,795,361,338,352,107,827,462,008,
486,937,319,546,955,406,706,302,978,051,028,093,140,158,152,159,052,117,678,
628,154,221,182,113,765,103,407,704,916,704,166,058,585,751,354,489,718,709,
847,285,703,468,330,444,253,248,543,336,505,644,250,497,441,923,083,440,779,
191,675,575,653,319,901,584,136,298,827,002,570,929,846,317,205,045,832,056,
805,264,364,537,730,861,345,654,891,329,836,905,441,622,577,797,509,148,395,
541,851,178,605,222,186,251,491,081,121,351,456,056,994,063,721,839,664,465,
529,766,426,204,832,810,187,571,577,643,793,413,204,696,361,526,816,021,549,
440,859,968,282,771,876,728,664,353,337,266,146,250,456,941,611,506,473,841,
635,939,948,897,733,705,555,548,512,252,017,256,449,412,048,902,530,174,813,
561,141,734,011,348,355,486,121,026,664,949,712,899,260,405,821,165,839,151,
229,965,428,934,218,842,369,787,879,267,797,857,971,039,201,576,494,809,743,
203,951,813,570,458,133,462,184,747,475,449,515,806,675,044,241,088,074,841,
865,730,871,851,615,958,819,632,599,034,403,246,988,270,141,516,363,233,586,
769,591,151,193,809,973,753,883,466,983,785,013,504,571,055,812,756,726,426,
011,863,059,840,840,939,973,600,948,466,379,178,561,277,131,162,055,124,525,
529,780,637,275,662,473,265,205,038,438,222,750,478,903,426,738,889,525,304,
524,564,364,466,450,190,742,045,902,493,817,405,092,344,494,850,265,132,974,
482,058,034,684,559,223,909,118,705,181,558,331,065,617,649,825,281,934,862,
555,537,187,302,132,515,219,681,077,786,601,669,903,849,525,454,742,901,801,
596,828,312,571,445,219,910,863,355,263,886,908,039,382,228,768,167,478,112,
039,475,110,413,416,566,960,868,603,310,925,572,818,292,073,606,727,649,203,
667,947,815,053,669,841,942,233,189,204,954,452,226,119,078,625,447,274,918,
603,077,127,448,776,009,116,485,845,927,233,089,877,901,729,313,446,003,896,
542,915,771,477,278,294,046,221,411,784,678,540,898,346,934,484,071,641,725,
212,555,862,298,010,193,379,001,595,967,135,985,670,442,369,414,413,760,988,
395,425,543,150,690,172,671,764,461,232,800,025,339,227,361,726,659,189,660,
519,500,542,709,371,530,488,387,243,133,528,640,227,390,076,403,626,756,259,
094,123,608,825,141,657,925,219,358,769,918,617,066,565,007,776,663,720,321,
473,902,936,522,550,964,059,478,469,513,201,952,322,914,950,568,833,196,880,
876,417,625,259,603,599,254,471,456,817,968,086,141,061,467,848,126,970,958,
508,454,175,576,962,829,658,425,998,674,409,658,382,583,725,824,396,422,235,
216,222,601,199,885,838,073,343,986,047,258,883,602,815,575,348,743,772,661,
398,071,873,903,733,125,251,152,518,212,836,816,064,246,267,413,003,120,268,
074,879,312,530,975,980,052,554,399,577,433,937,965,248,415,974,180,588,618,
485,057,889,434,689,845,566,713,080,559,628,047,972,814,727,625,694,067,634,
674,355,517,066,448,505,727,412,546,117,547,527,279,525,024,353,515,349,541,
647,201,638,632,209,899,749,380,587,978,620,694,394,161,675,299,556,672,148,
434,380,755,210,259,531,963,840,662,851,067,040,080,220,656,695,508,352,758,
247,952,387,700,971,619,914,763,175,326,795,332,282,940,885,884,596,055,107,
223,443,784,584,495,126,430,927,882,792,084,969,334,367,323,379,290,857,103,
270,445,286,976,375,548,090,179,524,100,798,360,616,395,904,957,741,051,369,
782,528,574,215,095,454,987,900,068,202,470,470,595,295,943,168,625,880,342,
532,812,883,014,545,858,246,240,882,549,237,993,612,207,798,992,082,909,234,
523,026,471,295,166,236,101,744,984,646,750,856,853,094,545,841,997,877,136,
155,985,882,946,797,418,051,729,887,368,107,505,770,524,235,362,759,965,545,
952,159,497,283,236,764,580,361,781,692,540,058,659,479,316,025,966,934,511,
276,471,483,698,568,136,717,939,685,162,258,537,532,343,298,176,085,202,321,
992,525,284,066,153,550,455,080,574,786,537,019,336,124,297,547,941,337,553,
416,551,139,178,376,222,968,947,796,137,956,513,510,027,038,034,624,396,776,
502,712,661,867,980,530,794,016,214,555,536,168,220,463,106,839,771,802,249,
767,052,363,551,268,693,533,979,035,444,316,171,388,655,399,431,971,969,431,
510,284,440,391,022,931,009,639,710,990,783,499,883,473,830,767,275,490,255,
680,961,351,783,553,002,154,903,759,455,952,316,555,036,977,015,419,170,136,
459,550,075,926,529,337,499,445,393,554,193,135,494,680,617,140,209,908,802,
584,133,780,090,047,927,896,324,316,905,684,709,805,771,853,943,135,101,106,
017,259,692,242,717,335,744,279,494,837,608,051,074,041,561,377,241,671,242,
677,680,362,945,909,268,527,354,055,472,733,959,761,617,605,831,253,719,656,
071,788,328,862,215,249,066,500,355,818,536,755,119,774,005,474,400,221,502,
691,287,833,759,216,519,134,899,283,131,011,036,506,078,866,185,252,843,912,
120,052,075,314,318,224,784,461,894,311,707,553,890,183,619,958,369,873,172,
558,856,270,592,009,583,973,362,598,854,857,120,013,695,508,492,320,024,093,
708,572,034,140,289,664,671,000,603,400,059,851,047,727,243,194,513,896,519,
123,382,580,096,846,797,647,992,550,495,065,991,780,087,859,264,604,837,276,
936,677,157,727,862,610,255,321,423,959,779,785,490,332,389,755,353,556,259,
794,534,631,413,707,838,043,110,937,805,676,473,480,353,629,930,768,459,382,
748,913,505,025,507,508,302,503,719,170,749,646,379,154,604,456,236,292,045,
841,081,536,491,807,069,708,962,625,920,325,319,777,989,275,972,314,153,234,
890,098,224,349,836,167,001,487,540,226,702,692,147,104,136,548,223,599,833,
522,475,326,450,241,960,928,730,903,237,649,160,638,692,319,055,742,346,565,
306,933,436,331,785,230,494,194,198,892,847,961,472,614,524,094,939,936,863,
062,774,367,132,932,254,804,831,576,194,052,519,837,078,241,133,349,669,170,
825,092,968,796,066,506,317,841,001,141,894,446,508,308,302,106,662,782,584,
937,799,805,173,149,474,945,115,797,267,762,542,703,707,228,807,071,289,662,
495,558,682,975,285,220,722,408,295,901,947,745,787,580,495,706,207,489,706,
995,073,457,699,972,901,520,614,809,121,290,471,878,599,898,870,665,678,473,
925,530,304,011,888,248,898,358,433,233,351,126,429,689,346,403,441,146,038,
680,107,688,567,713,987,255,327,899,924,986,693,823,087,873,195,607,147,318,
277,753,684,495,803,479,097,827,830,514,094,512,262,590,731,343,330,770,263,
111,463,424,851,987,856,315,951,919,792,576,063,442,228,834,599,155,225,337,
016,304,040,294,376,574,864,184,159,722,000,262,305,703,150,453,344,625,527,
588,138,454,954,979,722,832,635,469,569,235,647,616,542,649,076,703,594,003,
323,804,363,088,305,107,563,145,947,878,624,631,180,499,032,870,777,025,199,
439,142,090,106,241,536,531,020,390,915,762,931,224,696,998,527,343,796,710,
406,364,974,165,259,791,464,507,727,877,867,335,358,423,198,893,939,391,641,
427,472,634,997,602,197,069,010,852,895,871,539,475,411,380,282,630,842,902,
208,242,169,500,211,971,020,340,644,875,349,829,392,761,908,258,782,698,436,
766,729,621,989,900,827,062,459,986,745,163,360,011,838,250,512,561,749,099,
774,849,598,335,156,029,112,748,648,787,065,501,434,638,140,645,026,157,989,
270,965,664,536,828,442,248,554,945,438,401,799,755,459,028,257,493,601,986,
583,921,729,828,672,309,549,618,058,892,319,030,796,919,911,221,545,587,207,
535,757,253,112,076,970,350,698,085,476,244,214,595,034,942,009,625,067,390,
544,581,087,934,422,077,792,367,231,238,954,989,548,809,068,585,299,926,379,
552,948,618,678,789,203,753,803,363,668,952,475,461,985,149,325,808,749,252,
681,030,968,258,718,612,631,562,004,608,143,345,228,881,436,548,116,609,950,
246,495,777,291,376,772,842,732,839,109,904,565,761,188,498,182,496,170,589,
708,734,282,978,738,723,620,727,019,670,895,761,772,890,591,807,047,851,791,
915,513,635,881,289,939,665,128,211,693,757,600,557,123,329,440,948,788,495,
120,046,192,804,665,733,772,351,767,803,102,928,156,803,844,972,611,199,908,
902,809,521,463,425,471,491,120,816,125,576,968,972,884,622,366,184,554,972,
601,398,174,502,444,366,801,826,285,005,435,065,069,423,244,779,343,545,707,
762,685,460,786,963,240,312,926,469,107,888,094,036,266,717,320,918,053,242,
925,509,264,186,746,295,844,060,640,145,236,909,817,000,563,467,278,324,519,
499,724,264,345,220,969,709,185,460,213,946,243,510,179,691,568,836,720,034,
924,229,053,503,921,543,020,807,455,820,515,107,393,137,491,960,225,315,608,
669,886,226,734,285,911,346,262,919,924,500,534,407,962,412,755,776,064,410,
416,645,059,755,608,946,982,052,498,387,449,548,696,110,703,335,962,649,008,
223,853,147,980,001,525,013,286,760,578,081,358,587,729,544,679,724,564,614,
624,595,029,509,544,703,313,479,612,081,594,449,328,362,674,550,365,984,858,
169,623,013,180,272,673,811,207,936,311,504,063,732,796,702,154,489,757,471,
498,749,596,187,181,586,782,078,930,335,267,846,139,908,442,422,054,178,575,
266,551,818,733,417,635,169,922,018,144,294,570,254,379,340,408,893,921,210,
093,503,407,767,205,533,544,631,237,754,692,972,876,060,202,424,318,073,111,
700,610,702,544,581,949,035,346,018,503,226,239,692,487,075,057,812,228,469,
919,493,129,952,938,965,642,572,674,538,712,832,133,221,859,460,771,428,918,
207,082,051,938,808,193,232,470,295,742,565,139,500,769,819,508,942,989,259,
997,315,379,890,246,353,539,223,878,714,771,735,000,164,201,534,061,532,768,
898,306,857,707,352,332,340,439,640,738,443,125,899,240,174,610,570,005,280,
361,908,679,985,860,777,762,723,340,394,569,334,725,360,272,252,034,474,128,
020,934,329,982,820,649,940,962,279,285,292,821,289,023,961,866,378,735,632,
255,979,029,660,848,455,006,733,467,006,004,271,841,689,138,691,625,231,567,
773,146,654,436,594,943,924,018,408,444,396,220,501,312,249,327,840,553,666,
476,530,878,534,396,346,622,369,661,261,728,145,688,534,119,815,423,216,777,
315,958,999,830,473,296,562,181,523,800,461,049,638,241,672,850,542,022,596,
122,089,045,531,569,035,447,463,316,022,886,364,333,064,727,622,707,874,098,
342,034,386,052,227,433,576,310,698,585,252,068,174,523,977,006,296,874,183,
701,288,155,387,085,236,022,800,822,097,916,043,381,622,396,135,767,449,207,
197,285,448,368,045,404,310,936,281,660,206,449,442,775,066,574,586,764,486,
250,132,115,035,972,843,123,639,285,992,848,450,650,449,866,756,436,499,149,
976,952,396,346,958,948,145,987,870,954,989,046,756,843,049,100,014,902,147,
477,449,680,308,695,043,197,382,757,597,122,212,972,137,027,663,942,896,446,
397,491,052,520,755,472,219,036,045,112,718,303,174,045,063,340,960,872,349,
087,651,307,328,175,350,877,979,437,549,628,825,204,280,291,485,800,824,079,
381,494,470,855,375,698,330,022,157,889,570,251,698,368,442,224,769,456,712,
805,250,015,618,400,845,439,091,632,211,135,877,492,411,557,573,005,162,221,
279,921,696,548,003,638,712,772,679,611,675,353,372,564,559,871,513,856,422,
452,733,931,094,217,548,661,216,223,835,645,961,968,634,005,244,413,659,672,
949,823,467,346,581,026,029,580,380,572,899,264,785,047,100,505,578,203,045,
069,590,945,707,778,191,331,909,189,488,276,588,114,496,097,414,039,624,120,
827,969,388,766,770,977,417,366,520,471,252,387,175,725,917,855,652,184,463,
414,110,614,809,768,237,002,785,791,859,056,067,474,923,861,134,992,550,144,
706,600,124,424,225,036,940,733,475,892,307,373,921,362,270,760,888,724,652,
481,883,420,325,773,673,058,220,195,961,234,583,957,060,910,901,305,728,530,
756,798,939,850,241,228,702,646,025,405,252,811,827,484,673,122,669,616,260,
843,823,833,385,930,654,900,262,224,428,036,192,175,702,677,384,487,182,742,
791,504,614,639,279,336,568,220,871,426,859,260,814,624,017,832,962,189,894,
891,077,050,102,131,383,166,078,905,194,514,308,043,668,948,542,608,699,031,
720,874,265,477,922,616,915,051,491,328,680,541,676,506,269,656,379,554,748,
505,643,948,583,328,000,670,031,483,215,409,162,057,479,879,695,015,878,006,
035,459,298,601,717,267,595,762,409,661,139,793,547,022,901,708,843,281,248,
498,815,424,003,337,322,275,615,308,796,279,089,314,746,316,107,785,459,448,
906,079,705,076,060,293,352,671,303,819,244,316,133,552,144,581,170,773,471,
290,176,784,476,520,122,647,040,890,996,321,754,558,727,487,015,594,053,794,
097,944,217,324,213,440,658,272,165,429,662,461,813,582,875,123,924,050,361,
039,629,379,340,443,717,281,057,521,710,555,440,663,937,969,090,744,463,862,
240,753,201,031,745,784,748,063,529,440,609,914,146,108,729,848,769,400,551,
433,974,101,742,488,305,718,719,073,542,429,136,467,027,831,165,489,980,456,
020,424,598,237,254,505,982,028,190,062,161,192,345,557,030,767,467,879,769,
561,605,773,830,274,766,927,913,575,974,662,831,807,567,566,222,740,867,279,
282,077,943,082,226,718,597,002,626,628,772,055,803,377,744,101,101,690,293,
121,923,764,491,925,483,142,747,472,257,261,038,636,490,898,043,933,726,052,
128,902,079,080,260,164,480,411,302,763,379,923,968,216,395,816,958,655,920,
767,767,211,535,945,499,331,482,092,477,875,257,136,046,962,759,625,268,303,
330,306,438,357,674,156,438,128,420,412,844,216,054,178,556,810,913,862,689,
904,385,357,213,468,305,982,383,766,487,354,607,113,693,385,970,124,054,196,
209,523,749,753,826,400,644,744,869,511,195,426,465,477,918,668,576,162,101,
709,021,610,854,515,596,766,168,668,219,695,989,041,390,599,348,180,363,244,
884,593,813,725,120,077,249,265,653,043,210,696,205,626,340,935,887,427,532,
231,999,697,134,428,989,070,134,365,924,880,564,066,492,922,169,348,474,964,
560,165,950,192,436,792,227,940,209,184,467,782,257,952,883,009,424,766,382,
470,416,337,578,142,246,297,127,488,601,698,685,461,057,441,778,310,137,102,
623,406,619,762,604,731,982,362,358,334,725,736,415,836,022,344,931,184,150,
410,649,564,521,036,104,572,392,130,334,254,830,511,675,736,896,848,135,537,
922,729,901,396,534,919,772,586,106,912,075,599,033,319,767,450,972,423,354,
762,929,732,630,864,862,676,113,665,958,232,829,062,531,375,248,065,518,153,
874,430,305,025,412,141,063,124,843,740,544,830,829,229,471,215,449,278,885,
377,194,035,561,780,015,565,815,313,404,869,498,108,631,097,864,389,557,963,
318,023,817,332,197,002,366,284,305,787,467,640,552,032,565,733,850,336,267,
944,004,574,813,623,268,542,290,752,282,183,997,303,435,797,753,784,083,955,
743,930,935,551,587,018,431,832,261,730,614,836,876,024,816,106,830,988,444,
635,038,819,551,892,447,805,473,998,357,430,198,133,976,366,126,639,896,473,
099,831,475,282,960,144,672,335,109,913,541,813,620,907,256,259,797,498,840,
047,815,495,279,521,163,321,024,756,417,675,927,609,516,489,879,358,833,973,
538,032,360,912,239,512,788,042,934,134,642,140,831,645,637,554,305,157,282,
994,964,571,077,149,667,738,245,292,562,918,953,769,887,334,602,294,158,551,
411,459,038,963,618,446,778,073,897,886,172,140,354,849,042,816,563,145,315,
286,120,991,671,334,209,100,909,986,987,575,802,318,203,200,349,677,397,198,
501,072,528,100,578,734,293,183,678,335,576,543,102,455,219,357,909,881,861,
887,211,131,793,901,663,619,695,856,693,098,634,630,405,518,480,532,895,501,
280,266,306,477,494,454,308,908,331,974,330,651,601,361,214,961,554,315,429,
724,638,212,484,949,163,539,684,971,480,606,222,089,859,089,139,007,043,981,
741,451,669,677,623,731,077,299,228,511,215,561,944,264,681,729,288,280,961,
934,137,286,032,330,119,070,301,922,864,408,865,037,602,673,632,562,063,286,
473,113,283,247,152,509,854,492,384,701,391,714,586,506,299,133,073,160,032,
070,236,577,897,546,417,164,823,551,985,739,999,645,750,933,173,518,585,973,
741,272,531,798,803,575,263,844,103,130,249,604,579,589,935,271,484,973,269,
156,029,157,180,421,100,747,307,432,870,951,887,668,426,905,281,661,890,452,
045,736,905,973,221,844,037,006,297,795,741,466,078,956,162,260,382,912,841,
661,722,946,243,655,791,686,983,807,540,126,248,090,835,015,270,569,378,178,
912,007,236,329,441,466,819,397,903,557,407,474,474,015,358,692,999,192,049,
109,375,105,583,202,047,373,388,501,565,378,006,013,732,437,230,414,942,539,
487,696,129,724,690,001,506,687,138,912,993,173,770,472,044,005,028,565,264,
993,834,266,810,504,031,593,014,387,269,721,239,617,394,370,018,465,102,312,
693,725,452,806,801,005,005,831,145,828,061,169,151,826,814,370,031,068,448,
046,989,492,450,676,263,064,351,206,570,455,060,057,560,787,251,000,744,230,
417,189,651,157,815,119,699,323,017,754,875,265,515,577,986,329,486,862,187,
983,363,986,159,840,544,901,621,750,315,111,020,994,807,574,939,837,867,933,
174,243,608,576,015,123,856,872,813,626,754,613,723,287,145,462,945,851,168,
949,156,501,761,825,276,887,928,090,133,120,894,523,133,187,661,624,560,336,
319,278,342,011,069,485,364,735,746,179,041,974,573,321,174,855,093,216,244,
908,364,861,529,305,623,226,331,097,744,489,366,111,717,908,596,094,827,982,
203,262,977,100,905,258,516,948,918,880,984,306,863,210,710,587,924,947,148,
418,059,270,401,779,421,221,471,916,388,698,461,411,958,116,601,811,606,397,
580,841,091,244,143,373,685,460,564,351,916,619,670,930,997,835,455,903,147,
255,940,880,802,671,116,602,486,200,831,944,457,131,691,210,931,137,879,939,
391,108,417,538,391,370,037,478,468,339,170,098,324,379,126,032,705,050,276,
794,843,893,834,790,881,507,316,203,041,883,981,127,342,707,302,369,850,211,
726,706,840,367,529,280,473,197,172,669,386,232,750,278,730,009,312,187,650,
198,652,902,817,166,734,774,779,263,549,555,517,305,484,538,935,331,027,720,
067,951,114,496,433,835,629,021,825,241,674,126,900,004,527,347,508,281,859,
021,197,030,853,728,907,602,651,123,536,046,788,293,657,964,540,180,193,313,
785,469,276,244,979,826,631,750,856,525,137,556,822,227,701,809,663,454,253,
124,463,580,742,855,558,764,532,482,787,635,979,516,741,017,352,674,142,246,
147,902,642,828,765,327,951,629,140,682,949,016,226,291,467,041,223,887,535,
578,872,703,989,707,537,592,431,457,501,813,621,341,719,298,564,837,727,078,
230,007,776,832,776,771,318,113,851,861,464,339,090,515,737,136,037,140,749,
022,754,646,990,911,807,812,807,633,037,053,027,554,447,208,173,326,430,355,
386,842,800,383,601,658,580,419,171,977,999,005,031,104,206,007,135,955,157,
697,787,074,282,190,999,354,335,773,420,925,861,259,465,449,140,877,253,955,
190,166,370,588,071,149,056,498,159,332,352,842,673,627,837,247,312,968,159,
164,467,288,085,310,165,989,334,748,432,480,204,121,128,023,391,234,342,086,
558,588,331,139,630,018,802,724,712,436,029,254,314,063,486,425,347,895,774,
523,468,554,396,600,645,195,029,852,901,592,568,034,935,435,312,265,745,049,
774,391,090,257,564,489,538,362,734,258,951,412,076,162,493,984,281,242,791,
233,327,523,404,379,301,225,422,509,928,738,331,659,626,041,771,558,589,592,
753,401,021,372,938,408,731,318,018,822,907,696,267,211,025,347,850,591,059,
210,801,644,030,271,037,183,324,915,705,058,029,423,015,827,256,223,392,886,
392,525,232,475,937,192,109,592,549,908,400,892,149,832,197,907,457,453,097,
049,026,069,600,217,883,192,203,189,174,635,387,855,143,791,445,588,707,530,
023,434,204,625,740,945,134,792,325,748,412,134,623,212,312,224,159,165,671,
501,752,179,854,800,032,665,378,717,737,280,185,655,107,621,754,241,871,427,
641,772,801,603,291,759,550,950,916,386,538,289,277,306,035,982,046,270,936,
983,452,295,049,663,127,863,381,412,864,240,045,671,439,891,596,234,063,300,
571,500,599,543,550,006,176,209,886,906,912,648,865,326,089,300,402,219,247,
616,432,255,357,394,526,525,898,005,850,222,251,357,214,576,011,665,838,503,
223,623,637,532,021,648,364,630,983,242,256,896,281,325,297,840,181,358,691,
933,086,581,167,965,694,829,403,526,784,423,393,499,521,683,252,900,213,782,
299,557,504,918,982,827,549,752,263,161,859,398,139,776,888,041,189,493,694,
720,038,824,392,354,105,040,430,863,181,029,001,376,523,515,858,872,473,218,
693,058,298,296,047,484,024,312,366,671,522,000,341,522,662,063,759,906,624,
538,020,817,914,034,127,791,502,600,482,940,582,299,933,216,244,282,825,472,
964,655,105,618,612,062,358,272,414,329,170,984,631,182,336,413,215,544,039,
490,241,207,219,912,096,209,520,607,031,616,157,805,166,605,694,339,417,264,
353,353,644,019,851,625,489,228,866,125,110,043,269,000,948,655,326,501,946,
879,597,652,934,327,582,145,240,114,619,158,688,398,402,064,973,277,430,862,
801,048,613,071,421,014,851,662,744,900,469,943,082,993,409,150,833,569,093,
002,389,090,559,478,561,402,234,449,874,687,148,179,392,844,670,219,305,452,
589,429,394,164,630,705,711,634,055,125,189,568,507,156,191,371,764,019,227,
814,608,670,062,726,359,015,586,004,988,048,549,286,893,313,988,534,569,584,
999,252,985,657,926,089,747,849,775,680,432,146,349,777,527,976,041,688,529,
488,320,391,322,457,178,768,789,661,636,368,091,080,494,824,393,737,494,544,
667,762,593,310,468,556,672,065,941,918,264,406,134,687,713,949,552,336,072,
613,477,096,343,804,521,262,371,641,429,123,925,520,127,442,303,214,048,171,
534,863,960,195,803,199,810,053,777,110,596,547,133,572,918,555,047,052,448,
153,852,411,098,037,435,628,599,564,778,142,023,673,368,122,950,540,519,588,
395,481,081,302,901,825,794,642,980,804,379,549,819,007,095,368,330,621,445,
065,502,940,794,501,444,715,829,834,020,155,462,718,366,488,111,051,798,323,
909,948,746,149,267,631,905,618,669,840,755,828,699,025,268,002,535,834,831,
552,360,244,348,081,706,262,103,247,611,484,942,970,620,183,675,777,480,681,
803,343,124,335,149,773,149,446,019,772,283,105,794,034,865,378,255,032,472,
061,373,133,796,147,537,984,340,602,618,202,409,256,315,328,087,539,476,967,
646,918,204,597,727,744,251,928,769,580,771,266,794,533,165,825,730,661,048,
608,870,084,859,257,521,819,321,616,586,292,246,629,187,984,675,288,318,742,
258,797,278,062,975,797,509,850,414,295,321,224,661,046,120,586,257,223,540,
577,975,580,914,636,978,907,521,835,145,299,409,404,063,424,489,824,945,242,
400,486,265,800,208,623,190,358,895,856,536,802,715,598,931,520,348,308,544,
340,462,857,998,299,687,147,278,746,483,279,010,011,203,942,402,248,792,593,
443,103,625,206,026,247,510,317,858,561,238,993,477,171,910,295,087,899,102,
594,313,557,498,688,158,625,350,325,362,235,536,318,563,955,347,896,982,284,
561,740,583,867,261,237,812,514,461,893,923,489,230,576,002,650,308,152,120,
714,470,344,767,231,243,658,277,189,109,691,266,301,218,049,579,320,585,757,
913,737,791,355,872,137,519,041,480,288,607,825,736,641,279,282,177,133,005,
019,927,020,434,011,369,676,322,350,324,345,020,209,623,045,871,527,516,777,
810,124,360,954,540,802,123,438,587,151,395,394,059,484,911,473,339,908,970,
676,626,090,029,852,782,072,312,656,650,996,409,955,356,135,889,236,389,274,
636,779,290,577,969,043,600,924,519,515,560,616,066,124,161,505,616,704,423,
319,323,299,156,177,512,149,182,329,062,617,889,246,313,671,928,297,130,256,
983,259,750,035,062,828,335,507,283,937,304,644,155,886,467,460,633,240,246,
251,585,575,980,453,550,976,796,952,303,954,241,369,978,453,111,792,102,165,
556,358,373,685,281,315,688,127,490,803,417,676,591,168,194,206,164,010,191,
844,518,823,029,094,718,044,729,782,483,846,854,785,204,280,182,442,252,280,
574,310,139,500,013,909,666,148,075,552,412,650,740,612,950,107,368,032,187,
988,642,061,127,837,002,538,911,822,802,133,800,384,801,755,668,171,588,787,
977,640,444,126,301,918,376,924,109,530,389,105,367,739,165,672,559,623,398,
195,734,859,971,290,265,371,334,898,912,065,491,636,307,631,807,758,727,855,
202,098,652,708,512,477,814,781,326,273,831,888,441,631,188,109,726,420,768,
207,317,950,939,586,539,312,231,811,443,515,287,606,984,190,548,831,208,720,
628,912,498,158,604,353,186,290,103,948,148,395,543,588,756,285,511,023,946,
148,858,563,873,715,400,233,494,472,460,242,239,179,455,498,616,120,937,397,
141,342,208,568,589,625,062,358,110,403,511,606,435,953,170,969,639,066,808,
993,408,433,410,790,312,746,663,441,192,665,957,102,611,571,351,786,945,705,
961,050,983,730,968,772,938,136,419,844,043,459,098,239,622,808,347,794,586,
731,983,350,338,662,842,230,785,697,803,654,972,148,262,454,444,981,126,361,
691,941,358,962,286,239,982,386,216,808,541,337,606,584,105,950,741,533,153,
620,360,310,151,645,070,630,939,501,411,621,370,722,768,593,020,185,146,135,
772,693,871,483,503,398,046,128,974,168,724,750,596,666,246,041,551,214,907,
287,919,702,365,643,795,448,890,303,842,060,597,880,599,596,874,685,312,312,
120,437,873,361,811,405,740,756,374,563,737,024,037,293,688,553,178,920,110,
416,621,528,038,479,843,156,805,048,231,681,448,761,919,367,675,840,583,127,
673,621,993,699,672,931,986,947,619,599,825,587,661,671,199,737,695,199,056,
693,699,594,031,588,229,574,315,629,668,007,626,246,033,047,178,566,032,247,
227,848,494,837,713,030,661,422,263,732,010,513,837,398,921,624,539,369,073,
683,298,022,631,233,976,995,571,014,848,572,521,480,770,700,915,800,010,252,
517,798,801,251,431,472,430,679,284,740,531,846,900,212,349,177,469,643,456,
631,283,374,306,268,708,399,302,032,623,276,131,629,892,902,777,031,171,421,
908,890,982,608,004,461,494,218,241,157,961,787,030,831,787,328,195,776,845,
361,501,436,757,544,169,104,110,010,279,355,855,686,746,614,791,497,521,216,
422,250,338,409,803,924,877,491,645,182,854,283,622,461,973,929,289,412,262,
815,619,160,385,300,832,887,248,319,966,722,144,672,221,012,309,608,821,374,
679,155,823,202,490,849,921,844,168,157,230,122,289,396,282,859,424,913,669,
476,854,876,400,583,619,296,844,810,256,824,028,126,810,463,907,903,962,191,
605,420,894,539,993,676,657,088,214,957,480,457,014,917,295,650,357,113,683,
988,834,728,384,919,474,369,306,621,259,199,935,477,765,632,176,595,613,134,
470,746,234,651,941,801,717,979,200,075,098,169,784,324,852,448,255,875,044,
822,724,156,711,146,776,649,164,069,019,308,752,416,906,849,446,343,639,009,
216,516,344,377,277,851,697,209,468,902,087,904,647,427,822,661,815,779,503,
725,245,847,285,740,759,185,074,000,233,422,625,227,783,782,264,977,043,083,
341,950,140,434,457,868,362,139,707,367,687,935,923,617,968,599,817,864,905,
196,158,634,710,766,492,113,914,480,789,725,292,672,332,392,045,604,207,839,
856,675,576,893,525,077,743,959,304,179,392,328,902,075,416,938,795,587,111,
217,900,125,627,142,583,956,928,692,279,878,314,106,390,797,394,572,108,460,
356,344,867,890,282,674,960,868,902,365,837,936,856,120,720,192,500,047,678,
300,791,954,063,460,053,173,803,974,686,265,166,344,492,288,187,183,262,979,
127,083,695,871,897,082,196,059,951,422,464,374,203,088,831,154,250,218,230,
756,250,744,859,369,146,278,062,929,312,321,094,726,174,545,954,212,994,016,
734,101,015,431,992,737,235,333,977,405,951,188,783,127,693,415,092,552,566,
351,037,538,640,891,630,751,024,586,000,272,606,220,524,743,774,197,029,887,
460,979,547,831,532,457,473,012,589,783,820,760,607,178,931,578,565,725,120,
411,616,690,796,865,644,564,298,032,169,690,064,552,546,245,458,987,005,673,
381,386,302,853,011,541,936,095,915,502,449,553,638,377,887,260,051,525,300,
426,310,621,878,025,163,161,167,394,000,257,964,836,033,239,965,813,172,102,
446,139,593,727,649,239,548,393,546,200,964,490,968,437,744,416,358,098,741,
102,770,226,880,402,829,386,732,200,165,037,504,693,107,715,614,918,110,077,
355,603,921,218,871,064,651,254,284,490,550,263,128,569,870,483,174,642,919,
787,048,056,079,285,101,096,482,877,748,253,790,914,787,225,618,665,542,722,
619,107,834,658,050,335,722,782,054,672,541,270,027,525,920,881,319,052,910,
877,656,008,553,943,849,320,678,945,429,529,677,112,344,050,538,402,317,832,
867,269,250,048,490,077,365,739,921,525,704,435,582,046,360,605,285,545,289,
353,013,575,078,771,599,175,564,176,238,769,545,556,381,972,628,846,178,667,
238,286,750,878,444,384,927,702,717,664,364,873,023,442,875,039,372,022,087,
732,417,358,020,169,312,740,714,190,393,005,976,013,047,379,397,524,836,741,
254,645,960,025,780,632,761,956,379,979,670,410,987,967,948,982,394,256,133,
381,453,044,230,753,620,283,200,705,224,259,033,835,957,118,655,093,455,625,
572,153,385,700,551,799,319,823,351,719,463,126,177,530,359,057,760,005,010,
611,209,445,862,010,127,525,412,534,510,098,006,003,817,092,649,916,421,133,
030,132,673,191,417,208,044,936,231,986,140,046,307,610,424,826,205,155,897,
768,415,833,202,678,900,239,254,923,549,871,075,249,708,889,185,839,926,003,
159,829,330,129,342,397,469,694,765,310,656,189,675,913,700,713,554,042,379,
836,268,093,348,311,332,888,163,139,318,713,384,632,087,294,691,020,884,449,
345,412,568,181,871,928,454,314,246,520,569,071,865,787,891,193,581,583,010,
065,448,048,833,158,133,476,722,554,968,582,639,383,275,931,438,844,810,530,
360,041,708,235,974,437,643,327,211,406,973,403,458,078,358,358,010,605,653,
755,912,519,263,554,963,322,150,967,551,367,238,059,713,416,498,936,904,939,
354,352,002,710,964,411,083,266,234,208,517,585,302,859,104,577,626,372,124,
973,646,664,294,624,727,732,035,097,807,443,795,668,763,087,352,031,814,163,
362,493,676,901,004,770,524,070,765,556,268,160,889,858,085,946,023,557,775,
443,362,642,719,332,003,912,980,286,475,904,979,473,383,784,794,741,389,324,
852,804,327,049,040,092,622,050,432,398,654,623,376,141,409,236,332,277,940,
215,106,755,855,585,107,249,563,120,674,493,185,521,886,028,314,113,198,388,
539,099,604,824,851,352,271,806,221,806,114,259,837,489,743,330,374,593,106,
881,651,952,005,677,223,028,059,978,996,744,112,775,047,732,097,359,918,948,
921,880,272,729,145,101,256,348,223,374,771,961,865,512,473,273,238,282,690,
572,273,298,078,806,872,726,760,212,438,161,585,839,877,645,720,580,018,320,
291,354,956,576,372,934,036,184,630,726,107,290,775,471,419,644,522,836,147,
689,103,095,643,489,036,685,024,714,939,059,025,389,310,121,466,501,897,975,
039,377,967,262,080,791,228,537,217,101,494,098,566,061,499,092,408,151,984,
523,231,403,963,954,952,672,410,875,718,169,762,026,858,311,227,281,566,331,
160,431,263,145,966,345,226,437,998,431,176,894,028,124,780,521,628,869,132,
531,217,115,088,793,567,821,853,941,775,614,002,439,955,781,543,137,128,375,
734,976,919,025,418,606,533,580,462,425,838,746,571,490,821,884,140,225,468,
795,079,085,339,458,355,475,725,097,680,441,048,508,576,731,837,436,779,779,
885,460,146,555,425,566,035,889,814,013,212,722,567,795,582,633,332,363,332,
336,273,328,551,329,848,820,120,244,820,526,188,449,836,690,044,176,367,865,
417,032,726,075,990,522,166,046,200,017,726,985,149,687,228,966,955,744,618,
169,306,823,545,816,576,598,113,875,435,634,946,647,927,064,444,068,666,311,
753,909,180,416,735,596,339,183,218,991,014,586,457,344,389,696,866,900,941,
203,406,380,242,695,855,151,598,208,456,542,336,661,086,436,763,668,575,817,
161,352,416,014,059,206,994,297,979,566,057,869,753,826,781,141,547,467,998,
750,254,067,465,515,792,647,414,975,495,957,724,281,943,878,618,781,315,583,
253,428,934,193,712,363,676,498,150,106,063,231,623,999,074,621,573,496,587,
690,282,297,161,694,870,256,633,474,794,641,190,274,065,509,230,811,433,114,
160,656,076,345,007,237,258,411,815,912,641,231,845,601,044,593,171,565,735,
372,878,672,883,319,979,502,393,784,434,922,425,401,842,755,000,652,680,729,
999,160,177,535,831,142,260,317,300,092,662,419,978,529,449,579,062,975,679,
430,800,124,466,629,395,923,950,007,234,895,670,269,149,905,142,301,200,482,
139,039,799,602,444,861,045,837,061,932,754,755,547,373,835,179,580,521,676,
609,197,640,406,523,853,265,406,992,963,498,594,719,321,407,809,110,610,939,
430,407,468,103,893,119,154,405,391,299,306,073,891,523,381,532,820,784,952,
215,396,839,825,686,735,993,155,123,065,274,379,156,972,923,831,996,376,292,
107,808,194,778,267,702,390,577,047,455,196,095,976,802,876,888,645,199,108,
219,048,854,305,008,144,941,065,318,594,627,749,256,945,945,934,083,417,673,
302,771,502,711,144,720,456,975,586,266,696,751,483,943,923,906,921,000,290,
679,808,566,801,163,501,415,937,423,433,946,379,801,128,877,576,890,629,169,
336,915,401,610,917,998,929,124,104,965,118,133,371,906,556,764,236,042,372,
531,545,016,532,903,430,868,151,070,967,316,242,473,093,349,192,619,085,951,
268,508,758,278,366,121,136,992,514,928,330,123,979,503,816,269,906,463,245,
992,631,401,751,720,441,291,972,583,253,537,566,038,672,994,099,547,023,796,
974,643,381,263,203,438,526,036,232,022,288,458,966,015,118,775,852,513,152,
080,786,060,395,860,425,430,224,738,788,419,200,902,630,960,321,016,583,967,
293,313,609,613,995,081,231,420,162,845,922,461,677,077,135,029,166,962,982,
688,724,071,412,610,090,115,244,893,483,535,322,407,283,629,598,261,401,162,
441,756,393,455,483,412,344,080,295,061,942,984,294,230,439,993,442,696,843,
734,948,705,480,582,784,250,733,708,864,740,609,580,124,576,903,259,992,329,
216,381,628,275,123,014,382,637,574,505,395,538,036,623,240,458,992,018,608,
508,021,914,135,780,097,249,427,479,359,138,305,950,414,911,207,977,621,751,
815,644,656,711,213,404,111,446,488,492,049,763,873,120,204,340,263,231,421,
582,243,951,289,739,698,748,508,314,876,113,284,052,454,932,444,185,683,822,
403,625,917,302,704,056,235,711,483,616,614,631,814,441,394,591,073,282,486,
343,097,839,673,805,143,731,122,729,665,237,342,970,004,391,925,750,382,250,
465,944,513,767,571,832,735,016,579,417,736,749,865,309,714,818,186,680,637,
409,359,163,566,558,152,553,368,566,358,916,829,060,037,534,766,944,204,559,
238,600,485,296,697,246,415,237,461,382,218,132,454,549,198,117,882,628,859,
663,241,525,037,931,723,635,763,896,199,356,526,263,756,532,316,936,347,286,
214,097,572,439,663,645,387,962,197,785,038,093,205,516,790,811,761,077,694,
266,010,922,931,677,013,532,660,725,698,274,853,796,123,192,063,923,175,601,
898,614,735,717,301,664,480,196,927,241,015,084,890,153,456,489,986,922,772,
730,813,594,075,587,521,122,398,468,673,137,335,735,838,481,269,783,003,809,
017,051,515,210,673,169,374,424,971,206,389,194,001,598,300,745,063,844,397,
618,075,106,691,095,409,450,222,348,054,855,100,969,248,008,238,928,110,445,
005,278,000,087,712,480,408,872,384,414,796,130,247,845,212,224,322,157,401,
238,528,083,865,530,074,440,415,271,259,810,585,853,133,857,717,691,084,656,
787,518,323,171,661,531,982,481,520,029,280,490,524,172,035,872,258,394,783,
292,082,698,865,555,914,558,183,956,910,071,131,848,969,493,246,766,519,831,
274,433,244,125,808,884,125,882,446,441,209,165,756,396,171,468,076,448,097,
411,064,906,942,204,077,909,277,967,458,452,522,539,374,993,041,484,190,001,
657,518,333,604,768,531,839,411,800,863,138,434,311,551,314,506,872,331,360,
286,550,085,732,394,220,049,490,786,603,064,143,790,411,650,288,841,692,527,
449,067,196,116,780,762,199,695,526,058,901,161,029,019,385,482,945,174,320,
246,168,608,562,897,367,726,839,853,463,570,610,620,114,832,217,424,383,948,
778,857,531,088,874,835,175,467,187,256,654,921,025,843,801,071,252,987,187,
457,133,492,318,196,643,801,700,288,939,115,842,773,212,706,565,685,168,931,
633,243,292,956,391,955,072,193,555,504,701,088,536,298,568,600,935,760,368,
505,362,077,895,200,468,005,617,112,374,311,008,160,231,579,503,162,901,829,
319,429,551,907,131,570,358,631,598,344,313,158,629,991,828,820,969,940,836,
872,225,227,206,146,115,803,315,615,407,880,102,865,477,406,138,409,097,521,
462,667,639,314,661,344,680,406,997,818,793,574,541,514,371,967,262,681,523,
674,066,063,192,994,861,855,562,259,944,805,360,524,627,171,863,201,273,263,
619,120,214,911,534,833,922,131,440,846,646,291,772,734,424,888,388,756,646,
923,423,834,836,875,835,030,701,161,080,686,515,647,816,606,547,142,057,123,
596,011,932,155,068,424,158,331,004,875,886,022,038,505,619,641,019,451,616,
384,246,759,341,591,073,043,486,656,806,273,824,443,742,614,544,000,950,711,
136,961,582,749,296,171,831,054,082,401,593,647,718,748,536,803,275,433,550,
485,794,289,122,819,157,318,443,203,395,193,724,308,477,289,075,833,777,480,
594,622,101,235,800,283,697,861,777,971,996,776,152,575,344,267,416,534,237,
907,580,348,946,705,166,339,700,872,322,981,119,477,534,706,382,087,896,241,
780,640,159,685,007,889,185,114,962,243,739,892,539,119,734,443,618,046,262,
245,896,628,880,169,246,816,174,770,097,474,059,966,551,302,648,512,942,694,
328,725,078,760,857,349,570,663,406,325,981,147,651,739,677,875,760,853,736,
697,914,290,911,438,521,545,577,251,876,265,957,784,196,688,048,630,341,877,
387,820,436,421,648,871,404,985,206,092,864,126,072,195,880,336,432,931,712,
287,264,601,957,595,341,072,276,018,870,985,383,517,804,421,278,739,823,845,
984,550,388,335,653,895,075,572,252,186,643,293,486,070,068,769,098,986,597,
735,268,378,025,114,998,825,043,602,669,499,238,248,655,317,657,323,893,734,
855,015,891,985,049,632,269,624,650,128,257,437,169,827,610,954,220,816,929,
005,095,363,386,327,523,449,880,961,050,571,391,480,024,184,521,131,961,510,
009,583,371,652,404,392,069,712,455,589,259,379,561,786,915,492,266,770,261,
340,552,664,446,643,181,461,339,660,207,871,966,159,371,728,724,176,984,048,
321,588,714,468,949,313,531,391,240,028,233,151,598,937,879,165,317,815,618,
207,862,624,400,803,656,315,753,647,183,772,372,338,254,146,157,445,831,437,
413,847,151,288,789,465,764,144,485,856,052,151,280,489,963,689,023,268,005,
425,887,244,075,749,006,489,381,386,295,479,867,482,597,454,412,614,487,468,
103,879,953,419,790,350,421,778,002,001,253,665,315,659,341,061,190,334,726,
899,194,053,092,705,385,785,281,793,967,179,228,160,589,968,356,158,223,383,
858,358,114,129,479,800,801,565,546,203,894,387,660,922,383,055,951,413,897,
124,043,191,064,387,634,921,056,660,671,491,340,735,494,458,031,916,061,506,
566,562,943,313,498,424,329,706,665,164,115,248,539,209,599,382,580,623,476,
914,483,867,388,232,877,936,515,628,376,260,223,661,081,125,942,420,753,883,
194,940,739,576,960,903,642,196,227,552,378,099,830,692,259,013,107,628,920,
589,181,554,083,902,308,547,887,005,710,108,251,693,627,410,916,374,786,292,
467,277,863,501,366,734,515,897,861,816,796,312,902,372,077,483,594,556,772,
960,608,280,038,655,428,367,272,979,288,453,008,409,960,293,755,088,080,425,
801,946,758,370,604,055,891,595,263,748,096,834,803,455,136,088,848,075,947,
199,525,048,938,958,183,002,620,397,352,757,649,651,030,332,460,265,878,229,
093,722,709,305,608,147,850,498,516,830,897,188,796,173,372,633,153,152,071,
618,675,669,796,359,547,300,429,519,126,380,272,359,204,967,779,001,653,164,
541,938,070,172,379,808,504,674,756,211,794,057,649,932,130,790,564,268,780,
318,743,173,543,650,194,451,494,670,881,926,240,374,382,409,417,004,675,034,
591,204,304,099,254,177,446,737,091,755,306,227,072,658,905,938,619,554,235,
538,320,073,118,855,551,909,657,140,751,616,124,128,221,282,520,539,811,461,
534,519,899,410,131,774,527,522,085,136,672,386,743,212,864,271,916,794,097,
026,056,950,381,297,340,109,918,180,622,661,306,401,484,642,652,047,517,974,
790,054,171,675,214,577,930,864,357,873,460,991,407,298,603,759,284,524,229,
397,539,274,555,408,249,676,808,640,917,558,548,703,648,411,997,123,889,942,
800,874,745,473,123,288,298,382,260,803,361,621,784,845,997,116,782,436,385,
511,666,829,316,262,617,725,752,440,788,418,419,440,394,745,980,348,419,443,
262,926,067,243,755,461,436,656,814,036,782,114,773,140,289,843,350,297,082,
355,850,060,015,245,962,520,258,535,600,521,324,769,054,410,338,200,839,352,
663,474,221,402,889,950,647,079,443,546,575,977,472,571,911,313,339,620,730,
314,450,776,851,513,896,399,958,895,566,897,941,161,020,511,851,343,674,116,
850,381,289,209,878,572,070,109,034,004,497,331,584,547,122,706,761,471,101,
133,905,287,817,591,135,426,633,096,986,331,826,255,126,126,852,723,803,075,
659,740,566,272,203,484,969,302,416,472,376,407,305,556,813,236,040,580,983,
038,184,740,790,576,347,026,224,453,584,365,538,264,641,344,563,325,018,601,
858,644,415,889,176,672,741,373,506,393,086,650,916,767,292,151,340,717,133,
378,623,495,741,383,751,951,970,397,398,657,575,729,961,468,826,550,419,803,
652,439,323,531,353,929,473,489,003,135,946,060,585,432,520,369,498,644,692,
378,729,144,400,428,163,535,570,494,310,242,676,570,151,382,190,873,214,807,
925,205,298,009,900,657,610,246,496,509,463,478,536,534,639,908,144,898,708,
496,129,848,563,706,331,566,285,587,757,073,651,068,029,713,549,482,846,181,
359,572,233,360,691,008,898,694,740,496,811,494,066,158,503,331,626,388,653,
260,444,742,248,196,044,129,612,299,500,113,152,927,150,669,874,848,613,852,
810,814,563,928,809,911,566,142,305,976,848,736,772,942,782,237,877,242,982,
083,163,342,046,010,902,520,309,564,221,486,174,864,413,371,761,104,197,104,
706,335,256,306,371,369,212,771,769,671,588,898,678,491,646,554,926,361,792,
515,537,343,263,894,944,529,027,430,779,199,399,040,694,258,254,152,617,807,
448,394,881,057,147,972,985,406,055,143,236,808,922,302,364,530,709,402,596,
825,582,363,531,091,440,001,311,143,951,803,297,880,873,654,632,582,651,748,
233,151,457,117,037,732,292,282,810,355,595,948,896,837,343,739,217,444,514,
994,524,116,440,114,333,644,481,246,047,980,423,765,881,366,669,862,784,205,
985,504,830,585,131,396,903,673,829,657,949,649,937,084,830,448,249,369,815,
923,863,653,884,715,813,747,520,775,445,504,468,028,446,951,269,062,433,565,
668,728,877,401,132,469,546,297,819,407,105,618,403,127,282,347,804,106,117,
052,071,043,805,462,041,818,519,694,972,433,088,117,807,711,323,493,191,396,
851,644,782,181,073,001,033,708,507,242,132,013,800,276,176,232,271,507,399,
622,010,844,726,516,412,418,781,675,363,799,026,048,941,105,805,029,519,813,
342,792,696,663,340,350,166,545,765,764,304,057,725,300,048,200,730,888,711,
214,081,716,004,247,776,377,033,728,330,994,547,138,258,087,272,606,317,687,
086,247,769,084,769,953,595,331,238,196,902,267,545,414,471,543,466,032,951,
179,819,552,698,329,729,558,292,752,771,464,854,956,089,204,551,560,177,446,
989,732,025,368,418,240,196,051,630,881,301,732,590,396,606,039,095,183,799,
440,405,970,076,847,349,864,752,667,997,155,637,850,435,743,348,243,557,221,
985,943,398,833,041,847,690,066,870,081,821,373,381,851,455,517,310,216,755,
784,699,278,375,668,688,673,605,786,157,077,125,938,876,459,050,438,958,825,
868,844,630,917,614,994,825,892,414,348,763,501,501,526,552,016,749,322,860,
924,452,976,305,997,617,246,584,177,098,418,344,086,980,060,014,511,367,726,
792,177,198,527,194,231,861,849,114,536,198,726,715,702,358,429,185,750,616,
747,103,327,406,143,223,567,407,728,978,124,403,965,758,551,933,142,062,718,
359,024,942,087,362,533,039,301,696,325,019,639,303,673,471,064,726,052,816,
954,232,848,113,453,226,138,042,855,465,566,167,768,027,993,995,384,883,887,
896,696,193,913,659,967,350,313,876,869,131,402,954,487,034,683,019,296,360,
349,570,020,979,942,636,430,190,452,778,164,151,841,426,550,295,836,387,091,
692,647,509,626,162,013,489,421,975,409,784,179,001,654,082,095,120,785,821,
474,337,250,613,678,741,204,550,569,358,032,470,170,729,272,024,552,709,613,
171,711,727,099,208,870,786,260,505,777,308,165,837,390,272,492,360,862,102,
534,968,282,675,513,362,921,686,751,706,356,430,636,096,062,543,047,346,058,
670,054,814,766,784,040,406,623,901,335,485,321,409,894,566,566,876,716,295,
069,669,329,958,432,099,391,697,265,297,300,368,412,889,529,787,077,818,120,
327,670,440,391,107,498,274,590,935,327,550,742,811,482,717,285,383,257,027,
456,892,598,259,140,791,229,969,406,655,227,476,317,923,254,847,241,774,018,
910,795,747,600,999,571,465,527,737,885,006,065,463,131,474,735,359,297,172,
759,382,116,894,897,151,488,565,822,095,889,552,655,543,233,880,602,924,110,
741,895,859,435,728,633,281,803,347,788,273,485,953,784,033,716,903,775,219,
189,911,663,529,749,190,243,553,651,336,392,514,388,671,548,532,487,162,598,
383,405,817,320,629,942,111,322,573,233,160,435,503,847,999,983,890,119,135,
282,448,727,575,942,056,793,825,106,702,973,828,055,068,218,279,353,237,403,
517,124,058,532,983,120,980,621,947,150,257,232,825,239,095,080,722,327,687,
301,036,259,718,011,604,452,562,958,956,771,363,464,760,947,814,377,064,331,
535,600,684,641,463,144,455,659,087,293,074,612,157,481,650,072,531,990,576,
663,007,638,978,132,900,219,665,679,030,778,513,182,588,386,578,213,740,642,
674,697,495,518,275,714,212,013,112,630,747,814,404,960,141,432,405,493,179,
140,273,550,606,995,651,566,997,315,919,479,445,746,309,098,951,335,525,607,
486,385,313,666,149,222,095,699,778,161,212,129,904,286,172,356,375,963,468,
679,517,080,287,495,322,810,063,650,431,648,184,933,722,372,323,408,813,535,
205,170,109,508,587,459,575,515,544,449,005,198,157,641,979,246,788,860,082,
255,029,007,904,111,334,052,198,634,668,110,902,812,911,347,417,446,466,705,
017,725,285,767,785,601,047,290,284,957,863,741,604,708,903,840,285,800,630,
184,500,914,910,363,126,236,106,872,410,143,242,927,889,888,279,205,785,361,
346,194,104,337,316,946,017,496,908,928,558,084,819,806,919,812,847,879,006,
950,374,088,636,028,602,623,450,333,155,580,568,645,082,738,198,314,456,606,
470,216,519,607,740,939,101,415,225,803,744,835,796,778,651,434,416,035,417,
400,429,083,975,644,822,136,013,120,185,846,481,000,155,530,381,598,034,317,
158,461,194,738,661,741,414,491,995,958,041,284,039,922,005,070,277,041,989,
220,731,498,715,341,222,553,518,316,649,054,062,111,647,471,517,805,477,802,
645,673,256,125,574,525,864,339,232,225,191,559,521,931,612,501,267,447,856,
802,433,963,991,399,193,461,812,827,989,884,950,293,859,919,292,202,872,742,
881,228,837,151,078,767,034,653,672,549,071,487,787,637,011,555,529,202,757,
028,984,467,943,966,525,832,570,744,458,618,276,744,799,772,856,428,310,171,
082,954,504,277,169,555,743,800,399,832,623,203,627,354,264,794,349,665,692,
252,963,237,138,415,357,924,137,799,494,785,104,533,291,225,284,624,669,278,
684,938,166,657,660,885,540,681,676,478,705,876,088,898,834,111,503,066,401,
985,921,745,770,075,833,392,115,687,807,571,810,986,436,288,792,517,249,619,
715,369,018,827,292,725,577,173,316,677,781,758,604,717,659,066,047,550,407,
115,878,283,382,685,909,415,761,756,847,573,560,269,086,238,090,069,376,751,
127,156,410,193,818,816,520,584,134,163,740,388,928,652,113,459,011,669,784,
698,228,763,069,866,755,064,179,935,748,155,363,223,033,889,079,237,588,613,
073,401,142,108,525,934,207,758,917,056,526,333,393,041,110,819,878,726,041,
312,216,165,732,703,590,466,837,885,877,075,209,451,955,000,259,327,775,382,
303,434,318,564,010,327,303,674,697,818,851,343,793,490,769,180,062,168,545,
068,976,881,016,613,765,584,702,253,567,918,656,553,965,712,009,515,912,759,
191,607,805,165,596,576,744,681,960,498,283,279,778,523,063,274,706,658,951,
974,600,910,195,809,457,769,757,164,745,659,330,665,519,527,000,115,858,878,
952,494,786,008,800,642,826,627,680,633,983,643,567,052,929,548,903,535,250,
768,856,999,929,717,349,287,464,926,218,711,413,629,548,643,363,201,325,633,
555,729,176,211,691,572,552,524,649,132,521,995,538,521,983,677,713,766,711,
034,550,954,428,928,773,397,788,962,513,566,541,249,807,383,731,205,517,659,
617,172,166,145,845,616,726,988,768,188,468,686,382,982,913,996,839,656,692,
362,587,746,131,173,539,695,692,099,943,035,590,299,928,999,594,354,766,731,
480,566,272,064,869,982,903,838,492,747,602,098,876,099,024,203,923,951,914,
047,547,911,793,546,072,854,622,543,298,493,788,013,072,328,316,339,316,497,
362,769,012,444,021,948,275,290,018,703,770,863,798,864,734,339,687,227,089,
916,298,065,061,544,902,476,870,900,130,390,157,311,592,204,359,906,554,124,
138,315,448,519,859,141,527,571,080,688,472,493,985,664,300,387,979,545,417,
789,776,230,557,622,432,673,328,035,794,663,061,771,966,978,558,462,508,856,
717,849,556,406,237,641,724,647,716,489,670,294,853,354,521,212,528,045,624,
707,626,909,659,947,420,616,298,153,663,434,652,057,272,423,042,537,333,177,
731,517,967,688,665,097,141,042,242,682,225,168,112,403,768,768,252,252,529,
709,186,202,466,486,226,751,307,816,278,709,048,248,748,941,085,183,302,069,
516,168,927,893,353,650,542,757,436,626,582,308,960,066,400,528,362,003,904,
521,488,667,594,892,335,562,883,791,307,586,404,304,064,064,194,721,595,754,
269,792,499,400,329,756,875,840,240,062,398,757,309,008,806,682,368,938,242,
733,000,823,653,252,901,117,081,915,862,000,012,234,321,572,824,848,893,814,
998,558,090,673,851,237,568,661,907,711,291,804,716,977,015,764,699,278,292,
426,935,962,672,978,265,533,016,337,569,165,165,317,141,405,526,398,979,853,
169,957,354,789,243,226,213,811,928,526,940,315,845,809,237,273,714,531,408,
972,537,389,148,597,757,837,154,493,121,304,830,945,183,954,891,942,506,370,
497,546,804,458,030,541,351,053,208,506,861,095,825,352,000,040,671,448,301,
819,243,019,455,011,098,597,265,340,602,642,768,266,773,061,760,834,759,614,
318,720,672,470,142,289,977,282,365,666,706,540,674,122,496,261,703,585,564,
055,910,930,397,923,503,962,381,203,530,883,910,465,210,487,182,028,286,507,
035,346,693,565,548,762,117,429,403,276,187,156,618,881,410,824,622,961,973,
788,801,598,052,808,732,582,333,548,542,953,808,445,957,380,333,672,429,695,
503,836,119,098,744,268,667,529,939,988,414,113,421,393,349,697,346,057,987,
044,484,793,189,692,572,019,518,569,567,500,022,619,196,043,012,420,970,666,
225,349,633,680,004,725,048,375,190,427,737,147,040,253,667,592,287,983,381,
242,540,920,974,623,686,515,789,308,461,425,338,857,813,598,446,144,792,868,
098,060,605,035,577,411,095,502,729,033,002,930,325,364,004,277,681,991,138,
373,506,371,795,811,184,436,038,645,027,459,611,352,884,054,885,432,532,851,
883,151,967,461,413,073,162,844,357,093,618,626,245,642,028,091,201,854,465,
016,739,216,929,427,209,227,931,900,449,992,546,412,495,279,570,545,618,368,
137,060,929,701,583,061,535,417,519,325,725,915,662,574,153,618,822,413,811,
306,472,383,691,220,522,150,176,691,613,211,854,841,291,212,368,390,870,998,
370,946,336,871,384,324,146,332,063,520,174,455,604,502,075,619,713,684,165,
126,928,367,446,836,612,327,865,538,247,110,901,824,301,295,605,515,829,266,
928,947,035,947,994,328,924,945,236,270,324,236,713,807,485,858,998,055,919,
693,709,905,963,704,050,414,260,853,480,542,343,136,595,798,552,851,473,188,
347,342,730,128,257,847,070,267,439,029,192,616,741,637,483,809,351,611,578,
798,840,362,404,701,148,314,505,234,052,342,750,177,516,216,124,613,467,401,
980,038,644,607,666,385,701,828,625,215,798,955,923,106,252,264,691,307,813,
531,122,866,200,904,028,193,539,752,493,932,922,435,342,275,394,657,761,863,
879,127,073,782,319,015,609,149,225,867,044,065,812,386,695,764,071,531,240,
324,418,893,278,906,624,150,102,667,804,973,841,966,578,770,037,971,593,661,
606,725,282,137,214,839,953,255,950,139,335,875,031,825,413,529,466,563,460,
146,526,273,369,099,400,985,450,317,939,059,189,941,011,482,627,850,842,282,
768,449,698,327,477,292,703,201,791,389,830,644,545,438,642,817,200,903,537,
977,661,243,105,021,651,201,989,508,456,737,873,959,786,247,173,036,606,106,
093,699,172,819,238,545,897,475,356,575,944,647,484,929,438,223,946,439,930,
532,776,494,379,154,842,844,431,231,870,996,342,227,187,531,580,905,774,092,
801,703,580,308,065,879,529,434,291,711,213,651,188,897,792,611,968,254,243,
462,630,885,204,962,644,383,719,396,857,051,299,055,082,562,660,003,993,820,
002,462,990,300,090,691,090,106,404,529,936,544,146,245,345,141,319,776,070,
807,161,821,923,541,298,050,767,099,664,208,078,559,793,171,797,388,024,844,
530,272,229,921,176,909,327,131,079,453,668,821,035,083,655,502,184,104,225,
244,322,895,352,602,099,633,030,292,047,975,277,628,276,053,376,915,836,880,
544,052,405,368,153,523,454,824,162,998,366,478,956,038,051,414,426,743,053,
079,878,624,254,800,181,486,787,257,029,043,772,035,622,897,839,103,869,077,
752,361,244,619,733,993,305,328,149,725,991,876,500,118,346,511,218,145,633,
252,628,189,556,347,509,056,622,235,871,471,039,124,589,644,867,119,468,986,
318,605,638,601,939,473,436,006,310,657,510,510,215,579,943,499,271,686,131,
265,626,560,571,968,087,139,238,231,790,692,738,633,026,182,303,751,524,191,
488,287,081,051,415,043,985,349,240,667,821,018,593,907,213,390,658,378,850,
904,520,110,602,518,247,147,738,056,103,054,907,491,336,816,336,470,053,830,
468,347,605,557,898,470,042,660,705,962,860,423,285,419,952,506,758,387,689,
181,031,079,943,006,091,655,020,308,539,108,029,866,235,447,194,369,938,223,
124,561,262,667,187,023,393,673,576,402,633,172,590,550,036,190,554,237,199,
941,949,010,112,683,099,708,682,297,138,728,352,879,281,770,113,451,017,909,
444,203,751,482,603,172,478,247,122,521,136,228,471,127,238,751,271,458,521,
290,161,748,361,111,654,459,828,066,581,696,527,622,930,520,488,174,227,781,
531,162,427,566,625,392,863,550,933,205,675,262,986,568,754,986,871,041,779,
769,689,631,367,259,270,924,588,117,097,846,196,073,885,314,679,467,127,940,
523,326,816,566,132,784,324,007,869,894,439,595,579,452,543,466,997,230,899,
099,811,286,730,942,981,454,983,208,883,386,027,818,919,580,429,175,588,603,
980,851,330,699,062,579,983,371,080,142,280,465,600,561,360,961,213,342,020,
201,157,462,178,149,829,842,664,416,391,261,089,198,983,743,812,360,559,102,
691,531,462,943,899,503,833,884,430,709,712,488,805,570,829,599,906,993,549,
066,260,686,699,688,672,717,399,284,065,094,193,373,295,694,851,431,595,296,
372,067,610,924,964,079,175,686,302,622,585,073,823,054,381,852,034,544,638,
798,654,602,530,610,284,210,000,511,043,827,969,918,494,015,414,386,414,085,
000,289,412,857,360,682,382,111,963,565,356,851,641,658,103,015,388,422,169,
282,037,675,954,281,401,043,358,616,248,667,864,476,492,600,185,442,353,944,
643,040,740,438,090,427,950,829,025,876,174,098,158,715,772,229,408,637,828,
643,479,665,987,700,598,351,276,105,433,956,104,373,657,092,854,082,548,890,
123,542,942,602,221,223,066,542,564,512,748,349,932,212,507,333,062,881,648,
950,693,056,037,451,422,994,573,554,606,569,090,545,235,263,950,314,416,758,
702,015,742,255,454,672,973,652,232,817,773,315,081,962,040,952,121,731,812,
440,847,104,864,549,240,577,762,793,758,855,645,183,769,593,503,961,822,162,
987,385,706,846,260,946,364,871,994,525,010,638,127,767,771,674,657,232,682,
846,291,432,399,759,246,949,909,576,562,728,705,014,646,055,509,124,840,646,
313,718,674,962,520,456,691,896,111,650,282,329,627,192,446,024,996,994,319,
878,700,548,098,177,407,049,002,193,644,718,516,884,051,930,289,320,399,249,
588,441,973,132,756,562,133,819,154,599,108,024,074,092,202,623,080,411,126,
778,936,522,126,367,517,663,264,357,695,797,048,116,884,231,896,498,831,580,
573,030,792,671,160,680,201,423,128,537,831,738,202,459,583,689,638,906,261,
330,593,180,112,944,093,636,006,963,432,546,374,909,967,217,433,018,091,599,
671,166,020,878,099,952,914,730,893,514,348,595,537,844,298,245,726,623,123,
287,758,907,243,134,017,950,355,824,551,232,895,831,282,020,367,520,265,547,
999,995,241,738,845,179,151,802,793,904,350,056,581,761,861,873,076,921,235,
967,024,993,642,952,137,461,067,185,329,021,402,711,466,383,354,850,190,805,
012,110,438,478,089,643,905,110,058,915,062,278,499,310,045,351,395,480,278,
378,173,604,175,669,133,748,049,151,508,416,172,709,386,615,747,113,713,209,
703,423,969,114,743,116,206,971,015,278,583,577,208,463,470,630,859,834,915,
857,076,316,153,553,297,974,433,968,038,711,987,069,547,940,767,760,489,066,
826,637,679,346,343,516,092,660,543,610,904,244,486,461,089,413,731,533,344,
625,545,799,207,354,555,174,341,593,947,121,886,043,540,832,576,436,230,597,
856,487,822,056,467,561,469,378,319,596,616,600,905,038,265,403,444,745,397,
106,314,399,027,571,788,430,788,555,136,728,491,231,198,074,211,400,004,532,
750,961,434,523,834,753,163,204,568,840,611,842,265,346,700,580,651,957,371,
540,845,639,554,383,857,547,353,137,091,145,077,900,455,191,377,294,228,356,
321,366,658,491,344,053,758,683,857,496,589,074,277,797,882,429,619,618,128,
802,150,313,533,519,010,275,795,570,966,188,019,745,564,099,931,594,277,860,
317,300,878,235,778,520,928,922,225,855,941,909,130,120,575,586,238,337,064,
100,690,174,497,701,142,946,842,844,162,058,876,641,294,473,900,943,166,352,
198,924,864,548,628,870,199,139,126,349,331,495,072,310,195,071,786,591,960,
399,383,325,918,761,470,956,311,891,762,275,807,190,655,400,555,432,210,888,
028,173,128,200,979,014,207,645,263,066,296,598,899,420,462,098,128,401,513,
337,432,679,058,266,006,001,661,945,565,783,806,855,872,307,570,249,296,664,
638,644,304,474,794,324,190,229,690,950,174,374,682,759,767,742,311,449,107,
674,350,435,141,992,518,721,219,752,318,216,383,397,456,123,543,258,075,530,
846,079,196,266,735,968,426,779,046,161,827,705,234,929,066,464,471,081,145,
878,893,622,312,463,701,987,342,381,910,331,220,876,867,247,190,229,399,930,
373,927,565,439,084,746,467,531,765,933,136,773,623,186,958,513,934,324,063,
107,852,986,205,372,043,540,593,013,488,765,184,412,006,110,936,040,559,404,
080,072,497,225,900,634,568,823,965,576,184,625,303,830,308,840,541,101,265,
761,755,774,121,520,173,105,623,156,180,515,451,859,831,946,118,108,153,507,
519,091,556,676,176,661,586,945,733,213,733,302,400,631,162,181,242,893,354,
890,560,946,375,268,577,737,690,157,298,176,525,873,912,934,707,849,610,231,
059,708,607,568,766,433,505,398,735,770,467,407,656,721,539,490,493,146,821,
702,338,631,191,474,134,349,373,060,542,928,047,415,081,670,323,001,407,534,
519,439,096,955,927,973,131,189,041,144,564,412,619,722,989,979,218,576,325,
157,432,057,454,806,093,897,802,730,892,508,075,878,683,454,582,112,417,440,
574,464,668,375,711,425,918,209,440,753,900,362,781,989,260,470,187,010,456,
472,825,151,870,260,400,930,971,830,049,072,460,220,847,672,395,520,854,269,
772,177,423,020,727,905,887,821,990,831,329,823,501,568,356,548,959,133,054,
190,916,304,921,389,380,830,157,423,555,801,070,957,578,283,272,465,358,562,
837,309,677,467,493,420,649,086,561,768,114,838,503,822,846,950,072,762,381,
682,220,865,797,535,113,830,243,899,729,827,555,816,804,366,435,209,659,872,
038,889,359,855,803,201,466,170,707,179,473,650,176,631,572,699,045,902,134,
348,301,907,405,806,284,999,800,950,387,604,773,627,049,141,677,721,356,337,
260,846,566,174,138,244,899,219,055,678,089,229,308,389,786,552,946,858,168,
664,013,254,652,521,328,002,848,683,059,303,626,391,801,243,839,112,846,927,
144,305,751,652,729,074,125,129,439,923,184,049,590,371,321,849,854,247,784,
394,691,910,137,486,557,056,646,704,004,844,040,839,657,051,640,481,291,968,
601,815,070,660,092,313,765,532,417,550,374,577,972,955,123,839,329,253,718,
948,639,788,811,611,383,816,412,656,705,045,842,611,392,554,696,727,054,498,
604,808,322,373,111,535,118,344,278,629,455,484,115,298,161,238,196,598,705,
564,572,236,079,276,008,601,172,299,035,144,275,896,460,885,747,181,471,555,
855,827,572,407,670,879,493,800,638,223,016,119,612,257,491,947,996,739,043,
867,640,676,841,763,869,051,162,546,624,001,996,585,755,026,907,528,211,091,
094,711,060,606,718,679,988,344,851,438,875,719,633,952,490,889,210,306,584,
364,758,718,700,361,800,287,507,619,834,576,069,081,020,808,647,349,105,295,
057,194,272,203,468,088,525,637,685,592,642,869,944,593,948,747,989,112,509,
575,641,297,869,192,719,824,128,179,038,019,867,362,738,438,558,850,883,430,
525,202,334,650,145,647,699,692,500,886,262,460,665,166,639,245,160,306,478,
497,700,313,825,053,380,170,480,630,115,951,215,949,133,330,493,131,412,940,
235,404,248,397,470,929,053,179,848,074,287,049,173,040,796,595,615,909,948,
958,503,184,230,348,240,727,240,117,952,644,181,237,775,093,083,433,530,666,
294,915,614,228,266,853,212,839,602,868,004,093,054,228,734,576,615,149,764,
764,367,734,943,213,006,345,566,111,799,745,979,237,702,790,303,632,318,165,
393,943,761,773,926,741,328,802,391,059,992,120,241,969,437,951,347,359,005,
758,200,810,752,741,641,018,323,321,823,038,715,156,136,249,052,839,495,907,
803,895,528,164,439,521,578,129,767,192,657,801,194,742,090,259,225,355,677,
246,214,327,562,863,967,113,665,459,605,424,852,789,097,403,080,599,352,036,
638,732,362,071,753,571,967,645,561,919,476,306,069,461,873,561,511,729,134,
918,950,879,403,176,921,550,281,423,280,502,600,271,821,629,327,221,594,703,
074,605,776,478,456,004,642,345,447,139,757,978,463,997,809,221,560,637,486,
075,697,309,118,591,217,732,345,053,535,692,609,258,661,380,428,599,570,719,
562,348,404,971,350,629,017,564,394,542,431,477,700,004,466,597,197,908,098,
567,892,445,558,163,808,543,859,148,678,810,266,124,446,677,940,610,954,785,
061,774,918,316,376,164,820,857,540,795,750,934,391,728,653,666,782,310,989,
757,859,428,128,087,797,903,853,279,687,314,536,788,025,381,653,215,518,812,
338,165,308,186,899,997,918,921,929,726,105,268,076,726,982,985,281,456,548,
495,296,309,250,785,063,210,365,529,111,841,629,705,428,761,956,166,968,137,
420,832,442,302,647,193,847,628,824,169,583,237,164,542,633,595,433,454,219,
958,573,868,168,628,059,430,004,084,488,837,382,206,969,379,464,616,967,615,
594,492,384,074,582,300,493,087,202,866,731,047,046,553,605,157,809,061,887,
897,400,868,258,383,776,278,756,961,480,101,914,605,551,667,121,167,868,825,
224,783,791,574,042,815,209,326,326,275,489,474,039,797,437,667,257,153,349,
686,255,335,094,271,912,722,328,120,407,688,657,212,675,425,311,915,910,433,
106,908,659,057,782,117,420,375,631,778,475,622,451,362,470,018,929,198,770,
947,236,560,721,324,445,001,882,661,655,470,438,435,057,944,882,143,518,420,
564,819,335,230,726,355,508,591,592,653,112,669,535,483,267,239,116,884,367,
950,098,812,536,915,979,540,053,810,812,517,494,733,582,398,011,147,058,429,
646,987,520,440,840,170,714,936,971,847,996,913,810,765,975,416,069,501,008,
580,738,883,589,204,905,670,538,976,927,836,954,939,094,712,727,946,954,941,
853,513,038,824,890,527,098,103,490,989,822,797,172,461,000,584,394,360,563,
862,946,023,971,695,657,430,863,487,593,171,235,179,862,521,063,726,249,484,
446,464,711,744,147,093,217,795,407,435,755,080,330,515,069,063,071,998,187,
987,018,149,870,551,824,561,270,172,033,382,439,513,290,116,917,377,736,341,
755,383,401,482,576,747,973,345,839,795,718,761,959,636,693,746,643,232,245,
775,915,457,883,342,096,343,908,889,452,077,842,637,105,194,065,401,383,920,
591,826,673,448,085,337,263,082,189,917,553,176,475,404,586,572,027,367,062,
625,886,811,583,969,565,616,589,513,114,155,298,150,399,034,690,824,114,473,
689,538,802,750,250,265,807,192,171,028,123,933,114,722,014,039,757,366,020,
270,903,616,983,025,034,819,359,575,086,480,349,332,135,075,778,842,081,556,
054,935,560,836,133,331,983,254,166,433,362,445,119,707,900,501,403,704,411,
439,948,610,508,620,613,835,983,399,102,664,417,857,761,774,161,537,548,462,
220,457,253,681,441,981,861,734,537,809,050,722,019,306,237,277,195,595,925,
895,655,009,414,060,748,947,765,208,110,176,469,250,528,290,046,986,584,567,
831,262,128,732,581,872,859,925,030,878,205,720,447,877,805,477,976,173,445,
497,037,663,467,731,213,108,851,523,503,122,652,256,203,269,486,283,559,065,
662,750,192,252,065,800,810,789,059,328,209,877,543,487,267,883,954,973,715,
163,818,342,717,346,326,512,716,755,110,059,345,100,686,950,755,496,880,923,
792,829,687,295,816,279,638,036,805,933,865,695,117,284,058,240,222,811,866,
889,885,819,357,721,339,201,221,392,515,325,333,856,542,036,503,321,527,932,
162,057,106,912,408,151,580,597,792,216,133,528,088,635,206,065,134,112,893,
829,673,855,447,301,350,061,365,668,213,166,578,761,670,218,948,841,981,865,
730,866,370,688,317,603,823,831,451,353,673,989,904,399,638,562,108,053,246,
905,035,568,436,144,642,313,549,196,193,479,485,357,031,199,052,387,626,750,
840,357,022,381,607,590,764,602,100,504,804,989,305,792,269,194,489,352,912,
601,856,535,703,243,504,454,036,831,829,305,951,405,198,695,458,929,769,511,
165,352,784,499,074,764,076,888,017,473,092,747,847,055,263,887,553,166,063,
231,755,004,977,576,813,556,309,845,715,212,914,207,489,044,405,315,668,727,
064,015,094,765,345,896,560,565,493,524,830,080,287,850,178,838,121,572,368,
793,948,490,891,430,550,476,594,166,473,021,446,564,142,496,279,049,111,279,
735,516,112,261,195,705,380,073,739,010,540,963,420,037,041,184,808,546,647,
676,603,371,901,394,729,965,120,476,348,642,762,466,456,177,803,020,042,962,
343,895,623,330,373,132,721,031,776,036,236,037,838,016,697,138,087,298,220,
232,547,710,536,924,040,919,587,623,374,065,822,099,057,635,796,560,335,704,
529,102,083,047,615,898,147,887,580,136,608,232,129,389,390,837,397,214,921,
627,557,793,220,115,359,310,845,672,793,268,266,041,140,756,562,382,285,592,
136,739,646,925,574,077,888,239,307,336,521,872,543,839,979,276,992,766,159,
347,370,191,080,758,783,212,994,203,422,627,283,602,248,350,435,551,980,840,
420,534,733,247,649,632,569,025,713,060,356,259,889,237,656,351,197,908,309,
317,161,215,916,838,042,268,830,123,987,708,030,529,678,793,230,656,354,797,
512,109,591,507,615,821,717,915,461,488,654,621,791,396,349,195,901,425,132,
957,507,434,872,445,140,298,969,429,290,617,200,606,294,217,311,718,972,031,
730,558,378,153,320,679,452,581,522,125,803,311,158,984,571,641,668,425,130,
411,406,260,724,022,688,616,328,138,448,158,959,359,907,253,974,246,332,058,
969,422,450,034,173,720,538,571,140,314,377,788,106,851,531,051,671,769,061,
619,075,015,696,202,061,842,598,572,998,825,735,642,282,140,185,706,866,133,
076,172,196,521,406,279,154,149,627,657,039,048,960,506,922,124,135,043,272,
834,619,217,531,644,533,968,810,085,371,375,729,669,114,070,238,075,865,200,
478,879,342,055,181,639,820,056,443,353,152,784,468,736,156,364,197,779,007,
235,940,440,947,602,254,663,882,413,247,729,553,419,314,794,129,978,770,122,
437,948,644,901,467,271,453,293,274,175,626,307,527,975,122,154,350,913,639,
866,049,773,114,496,583,966,948,453,298,785,496,202,714,813,388,722,271,641,
212,152,074,697,670,878,676,432,346,341,818,675,675,017,502,031,025,997,580,
926,148,400,173,295,963,890,307,775,744,950,591,752,023,443,311,743,530,737,
704,328,839,853,854,748,861,814,571,974,984,687,117,829,525,779,883,406,558,
789,235,228,352,880,354,649,513,104,226,298,083,955,673,036,724,302,684,757,
905,208,833,229,210,265,938,740,907,160,220,583,312,624,359,875,382,657,269,
865,232,592,492,047,001,354,141,741,585,229,908,818,647,921,585,579,674,537,
459,850,871,827,002,036,940,900,627,111,134,034,205,795,072,386,682,989,826,
425,120,416,767,602,917,206,011,649,139,707,673,652,385,784,860,556,967,372,
514,600,182,303,626,122,484,231,406,385,117,659,632,814,231,315,089,697,831,
630,341,002,785,263,869,616,031,602,364,375,838,107,995,517,239,454,439,393,
770,456,823,117,147,978,244,391,226,580,057,455,672,254,985,321,232,994,295,
531,972,745,030,029,987,927,986,242,873,615,095,372,175,859,668,038,798,715,
548,495,960,087,044,543,959,047,618,617,781,236,237,291,843,367,177,900,084,
650,653,922,089,099,345,557,962,391,140,720,892,651,818,924,840,356,904,573,
610,431,071,182,543,629,084,989,341,461,340,656,342,817,841,498,058,333,656,
664,063,579,340,714,370,009,264,558,007,901,890,040,466,631,893,711,088,330,
738,283,716,515,287,561,052,720,812,747,444,244,547,272,478,877,762,876,839,
396,442,396,015,579,740,227,673,683,764,579,875,653,989,616,360,135,038,286,
186,637,870,627,334,513,488,256,466,006,495,988,950,805,325,533,074,812,942,
576,314,078,596,664,274,495,265,497,740,450,726,794,231,289,898,449,683,459,
325,604,019,917,583,133,417,251,577,979,674,861,809,567,872,284,256,998,030,
670,974,871,969,456,531,585,257,665,449,366,709,303,114,700,987,181,800,328,
055,603,877,998,020,518,299,270,748,700,910,496,938,362,522,799,648,744,419,
752,928,716,521,022,724,027,581,437,128,156,570,676,210,307,101,977,750,317,
979,722,120,459,141,652,924,961,178,007,167,161,587,798,086,203,531,650,105,
335,760,422,149,432,597,970,416,210,309,490,316,526,883,018,360,267,962,486,
603,877,345,044,443,878,666,809,693,432,070,817,855,176,238,441,482,411,409,
710,931,390,668,513,138,048,127,457,161,976,813,020,076,579,647,927,996,438,
334,326,320,457,194,986,741,977,602,485,091,216,763,310,188,586,370,719,784,
306,630,931,096,844,255,793,102,159,420,598,845,167,957,987,574,192,176,922,
790,650,053,259,442,819,287,136,943,274,450,544,222,661,171,178,645,680,290,
237,506,361,612,609,637,478,772,350,957,868,743,710,504,678,702,279,445,559,
555,070,944,984,268,782,514,331,723,689,087,412,334,514,674,100,835,983,576,
840,801,670,110,216,419,885,829,696,156,507,616,414,384,557,500,377,065,104,
224,357,280,438,797,897,478,572,845,007,739,005,441,242,676,564,875,469,356,
584,764,901,031,694,997,670,754,113,099,135,790,600,287,516,828,948,059,182,
636,210,652,990,013,265,188,280,590,868,241,081,202,416,490,361,062,344,475,
357,848,910,357,722,601,516,146,482,757,955,328,480,952,240,779,273,276,685,
093,638,984,087,428,240,731,691,873,890,710,354,492,822,001,673,201,703,513,
028,568,068,426,732,931,420,142,165,307,344,413,822,762,004,477,788,218,180,
185,060,821,734,428,213,519,931,314,949,533,915,438,145,701,179,918,930,346,
646,478,563,167,132,491,366,753,309,986,558,048,569,157,026,332,809,718,998,
792,628,228,945,601,382,748,290,750,703,516,701,312,417,898,541,822,687,216,
961,657,652,340,961,242,535,031,588,957,104,735,009,361,497,156,926,391,522,
150,020,816,794,031,280,926,627,527,414,870,613,661,774,781,513,378,046,792,
426,435,115,347,264,515,102,141,670,148,634,683,046,942,729,717,028,856,109,
265,036,496,492,048,718,522,283,650,965,292,752,210,675,613,061,689,885,880,
792,434,739,681,975,531,164,844,399,919,543,245,310,574,773,738,640,628,160,
384,317,012,770,686,673,927,633,838,084,807,713,313,843,555,079,998,068,790,
678,087,995,063,231,781,138,564,874,517,670,235,482,936,422,612,905,581,871,
270,385,652,441,069,570,204,812,973,806,574,377,789,163,604,503,675,882,006,
562,247,312,880,020,810,194,894,057,748,951,644,783,086,863,352,990,356,016,
328,585,196,780,823,295,979,510,490,429,966,217,165,302,425,847,548,036,572,
780,151,853,812,150,579,825,123,566,612,949,025,815,370,972,121,966,176,316,
662,173,026,923,422,465,428,898,232,320,477,449,707,919,117,705,611,666,818,
827,070,761,132,066,941,881,777,716,144,930,192,855,501,720,336,375,405,383,
294,471,408,593,198,999,465,973,232,486,142,556,411,332,804,878,519,959,766,
240,349,201,335,242,703,188,029,924,220,463,384,408,666,184,475,109,621,461,
967,853,880,633,222,239,914,772,461,491,443,391,730,181,289,933,065,574,868,
253,321,144,284,116,059,217,974,877,953,415,164,659,017,685,610,832,976,261,
485,131,569,421,777,343,431,806,307,512,373,716,518,004,499,711,198,629,690,
851,533,893,435,436,040,801,210,164,613,281,615,013,247,424,289,826,447,490,
206,699,111,133,560,377,220,242,840,468,691,211,828,505,200,755,736,068,238,
240,285,022,735,097,452,556,478,438,178,475,824,716,313,115,477,623,036,567,
590,034,705,828,675,699,046,396,679,861,021,069,701,899,774,980,271,385,161,
332,142,352,083,762,536,943,509,026,866,719,361,382,005,165,953,375,558,891,
256,669,131,151,813,150,408,873,140,740,198,636,210,155,460,094,184,335,892,
872,520,660,708,029,331,201,157,153,485,568,987,088,675,797,940,616,763,985,
079,908,497,914,202,569,173,359,445,080,894,014,105,986,055,962,394,282,839,
404,385,842,515,568,432,263,994,388,066,287,456,788,073,462,201,615,506,721,
809,230,663,971,177,507,083,518,420,649,634,681,129,632,911,822,825,376,144,
001,915,054,470,530,293,639,917,913,980,238,033,947,970,414,665,998,072,433,
709,121,682,163,465,257,748,982,693,339,532,704,081,281,430,866,583,472,642,
635,213,209,354,378,178,207,555,304,727,953,771,521,646,160,840,451,896,303,
646,192,121,200,337,205,898,959,921,960,357,015,486,783,948,063,738,347,081,
974,961,551,771,622,303,485,873,633,394,669,335,066,911,925,151,517,385,284,
483,515,533,107,757,230,215,191,815,852,934,719,841,022,719,909,449,924,599,
521,010,572,803,121,195,770,991,503,290,094,922,593,487,507,388,620,027,938,
970,871,072,920,574,377,134,055,353,647,979,955,421,457,709,088,271,873,759,
626,838,510,450,352,317,637,892,917,914,899,392,984,723,506,915,970,141,393,
457,752,831,918,254,166,403,759,218,615,554,537,023,321,489,601,427,075,422,
180,834,115,766,802,082,089,050,794,883,228,764,575,397,229,758,455,282,715,
437,735,053,978,077,733,434,965,277,769,751,425,386,344,782,282,107,357,430,
328,548,230,667,972,670,943,638,876,773,037,730,539,643,018,165,171,348,283,
374,452,857,521,163,615,170,679,799,000,274,237,057,084,995,280,978,601,317,
572,728,372,408,113,517,236,582,258,587,523,721,179,109,024,488,641,840,200,
373,883,926,876,309,776,156,581,146,725,779,982,225,629,366,013,183,685,719,
385,986,377,990,325,493,380,332,523,738,458,966,945,579,926,808,317,808,176,
197,905,255,734,242,691,772,200,285,365,900,792,429,541,204,118,203,787,224,
865,462,755,340,953,858,372,232,827,590,398,614,533,882,028,288,407,164,038,
410,466,450,697,961,168,856,329,198,925,454,548,856,106,894,950,197,616,842,
098,427,162,085,557,243,311,132,967,213,777,589,062,033,960,256,113,627,149,
385,765,131,134,641,793,635,349,636,463,547,078,362,012,759,698,713,266,525,
252,007,062,199,256,100,111,994,642,349,315,907,891,463,584,801,649,656,606,
823,100,787,197,011,250,972,016,917,005,149,263,976,031,809,150,908,092,077,
468,653,118,128,507,589,001,634,880,229,156,991,638,483,679,471,210,762,833,
905,327,660,201,841,893,037,204,119,074,010,868,335,166,478,258,671,827,312,
687,168,459,725,457,587,990,664,363,229,562,168,967,569,651,717,376,804,043,
659,245,279,597,040,510,792,272,915,346,552,330,784,753,147,404,718,314,352,
453,337,453,463,125,837,621,941,613,234,523,456,857,070,616,667,431,684,333,
440,548,538,176,066,683,613,052,231,751,807,277,195,153,052,085,502,873,921,
881,154,803,383,962,938,330,866,781,264,521,491,119,428,192,055,046,147,375,
404,509,364,019,873,959,900,070,066,650,466,251,090,899,820,806,059,044,018,
999,023,656,599,610,022,239,141,775,431,887,637,792,722,345,532,025,416,643,
990,281,802,126,683,365,157,280,883,467,052,508,760,523,592,117,622,955,463,
465,856,105,877,765,622,875,356,093,902,462,901,582,604,166,159,147,711,454,
942,251,014,411,252,941,509,424,728,486,518,261,107,008,452,296,947,428,475,
150,173,543,036,044,419,728,618,087,745,631,389,604,072,880,900,989,668,249,
794,022,774,723,758,737,909,172,081,646,872,139,450,664,260,556,699,856,283,
560,684,252,814,381,814,183,091,109,873,696,250,539,635,338,823,785,379,184,
826,103,246,711,312,129,702,265,744,672,039,584,343,037,678,088,162,459,332,
135,050,575,736,094,687,440,894,244,631,958,074,600,200,018,930,315,017,392,
651,826,860,103,516,746,310,999,202,724,955,968,067,485,311,384,154,044,977,
549,363,134,906,509,372,993,534,548,941,659,792,047,123,837,357,775,606,812,
767,240,241,150,834,852,168,113,389,056,262,471,544,704,166,600,477,375,033,
487,360,903,621,061,677,978,586,037,041,404,584,203,764,555,500,109,904,733,
002,314,300,479,482,152,739,974,253,507,575,306,381,171,091,165,625,157,504,
247,438,991,329,212,527,980,441,925,892,231,930,193,350,292,124,975,633,582,
702,925,394,903,483,237,025,845,579,042,253,747,320,100,137,327,899,114,390,
868,265,202,121,313,972,583,608,095,729,513,889,394,529,713,668,498,084,601,
293,454,897,578,705,339,723,368,285,952,827,140,612,557,410,981,670,602,311,
298,896,388,862,984,044,573,899,623,353,322,449,637,697,214,242,069,070,156,
982,996,901,481,355,902,465,541,755,285,029,220,792,792,056,452,932,438,854,
616,921,744,492,457,087,599,533,883,478,423,497,301,130,525,858,526,670,650,
714,421,774,092,224,188,530,623,374,922,558,186,462,632,035,356,052,425,330,
650,767,364,281,243,193,187,835,857,901,577,892,820,914,905,904,516,902,905,
381,024,167,207,356,806,888,023,497,792,248,441,122,053,247,350,916,939,988,
382,038,230,301,166,281,619,347,909,506,628,432,351,747,206,710,235,227,816,
494,605,329,318,617,249,837,342,217,534,348,786,631,077,536,135,545,652,487,
141,200,983,689,455,718,185,227,577,058,839,002,055,221,931,281,070,752,831,
611,049,225,537,015,074,026,641,743,716,550,169,222,780,015,776,235,569,244,
607,582,664,303,740,936,054,128,812,915,438,086,053,609,247,012,482,299,323,
235,782,149,823,754,437,946,878,733,364,709,140,747,275,526,647,670,376,425,
540,470,424,524,934,895,537,195,925,872,346,859,932,221,293,191,942,961,231,
601,890,040,804,972,220,546,750,614,601,789,559,538,388,625,692,410,013,113,
869,843,325,722,989,677,885,340,762,701,141,050,032,748,188,415,280,357,045,
568,094,535,143,153,116,791,433,660,608,774,954,158,342,048,080,470,888,091,
522,744,113,838,141,335,484,428,268,122,434,495,558,840,366,051,136,865,860,
852,609,767,382,572,478,383,322,646,068,622,660,988,261,059,346,169,427,071,
624,698,567,032,431,649,884,347,619,343,363,239,532,057,369,627,573,826,488,
208,896,033,004,252,208,027,584,535,880,821,779,141,141,146,751,544,733,117,
512,982,319,407,983,009,301,814,636,674,066,039,154,973,552,815,943,874,601,
497,306,012,455,075,523,373,615,579,713,741,590,698,045,601,112,952,865,492,
357,115,879,878,041,265,625,783,829,063,538,787,051,767,955,120,103,907,888,
795,989,680,290,248,194,156,610,398,956,377,783,541,487,796,263,065,064,860,
298,956,577,453,805,626,667,658,759,179,421,435,704,172,441,925,263,606,742,
890,501,431,850,967,941,626,857,004,433,362,177,468,285,949,288,359,844,681,
400,264,842,261,021,201,298,936,613,171,081,137,467,735,440,034,826,472,761,
609,716,401,018,425,912,323,052,152,733,230,327,588,449,453,949,470,333,117,
132,055,166,342,838,219,082,244,881,010,824,005,141,368,232,964,110,254,728,
034,771,949,192,368,654,478,118,939,405,156,947,856,283,068,934,819,205,076,
118,571,219,614,341,361,477,231,846,977,014,718,974,603,325,013,725,522,907,
930,588,792,877,636,962,423,354,055,902,023,478,566,276,836,207,906,351,149,
048,469,298,238,607,949,872,162,598,526,994,816,167,937,895,336,587,114,878,
741,061,587,667,374,125,327,283,778,106,347,173,852,909,296,881,785,922,050,
358,048,785,540,764,522,222,027,609,244,104,682,615,734,987,748,969,126,341,
635,726,991,064,054,106,951,510,737,265,360,457,368,952,154,886,183,615,061,
603,397,847,586,326,081,886,387,383,972,790,153,305,424,242,530,868,787,012,
972,747,175,546,723,711,626,542,896,996,970,818,769,800,123,509,012,505,552,
121,919,717,756,538,830,426,039,764,520,121,823,542,723,219,273,322,144,628,
829,442,318,323,932,134,339,897,827,955,974,515,669,799,493,296,463,616,832,
940,077,301,657,651,977,307,605,825,760,645,772,598,909,033,297,016,506,411,
503,660,789,512,120,748,539,254,828,461,709,469,456,187,945,838,226,993,632,
037,838,448,790,032,855,994,262,539,593,399,004,253,142,669,253,598,980,095,
261,092,400,213,947,803,381,728,826,261,506,667,075,267,863,779,396,381,064,
033,014,358,140,122,796,116,531,765,943,935,086,136,864,911,279,819,436,225,
964,704,109,139,698,011,503,519,661,708,793,420,054,637,088,110,953,492,579,
706,526,515,717,405,394,421,773,144,009,027,616,961,423,737,217,667,775,331,
139,701,652,235,702,876,636,753,566,039,254,730,319,501,265,411,100,664,996,
770,782,158,779,665,643,077,002,669,662,488,334,066,226,256,831,141,621,809,
058,645,223,408,889,103,926,698,971,943,462,513,062,820,036,970,846,904,577,
580,031,863,762,303,389,167,262,451,381,498,384,541,890,041,404,474,962,582,
291,113,372,598,943,284,604,657,065,541,533,925,475,525,402,434,635,065,855,
640,903,105,402,416,420,317,731,939,982,390,293,970,808,490,895,135,559,383,
461,990,805,696,883,922,503,061,082,309,632,414,086,258,037,213,520,573,474,
819,467,328,065,553,564,741,916,444,661,806,940,103,446,069,966,924,568,512,
952,923,850,907,174,924,439,625,964,071,353,724,426,514,740,136,059,497,574,
974,406,869,788,461,467,033,346,882,289,640,004,250,497,434,703,743,722,592,
925,651,960,982,603,166,218,602,075,913,922,013,497,328,536,367,218,805,965,
911,983,465,296,943,769,222,843,834,384,199,328,043,686,615,010,938,321,978,
132,993,508,944,169,046,258,149,279,987,193,048,239,582,789,655,528,235,490,
073,158,098,611,892,908,516,483,418,067,598,629,037,273,787,051,838,862,563,
037,813,065,175,541,894,326,054,001,448,284,413,830,612,149,892,555,722,725,
869,197,544,989,032,719,965,947,261,088,365,982,685,004,986,043,606,054,711,
498,994,359,461,085,628,318,496,891,822,119,812,216,374,930,683,386,752,620,
237,407,545,392,292,674,485,712,945,850,720,036,566,956,520,691,150,738,274,
196,850,951,643,653,405,114,637,510,115,986,023,864,521,434,146,540,509,637,
383,627,104,806,121,241,139,375,133,430,368,880,139,192,925,623,268,671,733,
519,931,154,722,212,930,755,152,552,489,497,501,385,192,524,783,703,480,380,
596,205,644,219,060,251,143,155,742,251,926,306,362,858,764,038,493,962,222,
326,419,291,500,565,101,436,262,414,129,401,430,966,240,696,453,872,745,452,
531,876,867,184,634,250,733,957,610,624,853,699,892,610,075,805,593,497,015,
590,181,596,167,008,430,152,784,763,476,593,296,863,520,347,431,196,124,466,
246,744,505,750,613,450,152,727,064,751,437,884,526,265,029,876,964,677,176,
858,869,028,728,912,740,859,514,839,065,214,704,096,409,040,371,882,456,653,
703,982,181,513,502,529,465,924,259,347,203,758,396,833,401,288,498,669,783,
285,334,044,300,183,457,669,842,628,305,913,389,773,791,463,321,810,946,044,
244,189,265,435,069,159,811,492,740,187,393,799,468,183,803,356,876,943,729,
757,616,086,639,596,959,752,519,882,276,192,407,755,322,330,337,169,167,112,
538,374,122,585,916,353,992,809,504,674,456,898,409,545,616,305,477,711,644,
928,827,300,204,748,953,414,275,142,046,736,057,797,277,489,833,326,446,413,
225,676,402,251,309,984,172,608,657,449,592,971,163,756,431,281,153,586,599,
203,290,845,223,328,708,916,249,662,939,918,528,328,900,060,602,775,643,843,
833,094,556,776,774,554,828,749,284,061,072,993,479,499,819,801,165,046,657,
396,801,645,110,359,955,339,993,287,998,348,333,227,923,584,346,324,410,696,
040,365,869,450,898,164,181,556,585,127,594,901,200,035,063,059,703,174,617,
107,466,519,933,756,710,439,521,434,120,833,784,268,794,153,216,943,738,038,
704,855,554,917,897,623,537,726,813,115,848,942,539,353,431,612,004,083,143,
949,671,413,758,484,402,472,160,477,640,791,531,156,811,959,945,995,935,879,
724,677,823,477,058,547,923,967,558,323,707,243,814,215,133,388,217,662,878,
287,092,608,175,754,384,518,802,543,734,687,977,474,304,608,311,561,970,130,
695,522,739,387,384,283,279,590,428,046,010,111,372,861,958,371,114,054,719,
542,547,018,679,409,919,268,368,302,121,946,206,417,941,305,041,417,776,406,
740,173,287,607,280,383,408,265,760,396,898,623,577,342,137,291,726,687,743,
450,593,584,905,739,799,393,902,944,487,472,536,333,831,921,670,251,379,492,
753,069,710,229,849,542,386,892,829,024,106,496,082,915,333,275,422,822,305,
462,758,656,167,333,783,059,252,634,591,649,199,271,708,475,946,068,321,489,
208,924,007,923,524,662,772,522,504,892,237,021,357,459,509,151,898,074,502,
195,939,788,421,800,659,687,581,272,057,403,591,704,527,167,749,844,279,767,
366,949,149,208,237,833,518,222,136,055,980,184,184,260,243,653,926,154,572,
966,239,069,068,095,275,253,306,619,948,691,575,567,227,593,853,358,308,574,
104,062,884,530,496,747,229,673,197,772,025,540,839,552,031,662,205,156,383,
263,319,926,882,264,655,632,462,288,002,011,267,980,174,296,216,438,244,547,
065,677,098,545,086,662,457,318,423,622,177,706,373,403,494,038,585,989,614,
250,825,941,146,901,257,587,087,462,744,042,761,033,723,040,168,595,907,535,
294,571,925,142,774,508,566,257,241,910,943,279,274,805,293,549,219,207,735,
856,230,736,320,235,723,257,027,717,138,184,523,192,213,889,034,324,468,659,
694,847,279,796,956,711,801,514,440,785,243,395,856,205,416,041,869,767,873,
579,852,904,956,095,746,295,205,131,908,460,523,432,775,807,375,285,647,286,
053,995,096,785,454,699,442,731,669,716,799,607,959,413,818,935,802,200,405,
663,913,180,006,566,993,814,443,980,294,082,622,986,570,643,890,713,939,144,
170,178,982,071,671,603,571,254,641,666,495,685,916,059,961,073,114,154,915,
526,752,965,859,394,388,506,003,137,865,140,658,475,745,981,099,836,635,523,
742,509,412,291,621,073,745,872,889,988,919,689,932,637,342,668,789,766,109,
620,560,264,099,113,307,889,799,344,217,082,972,752,808,086,756,734,485,917,
655,504,891,921,601,998,412,364,714,622,503,081,537,681,780,438,446,674,809,
105,757,211,420,302,082,438,529,343,290,359,205,819,823,408,168,338,180,417,
097,426,401,217,372,612,049,204,017,799,715,242,989,204,470,888,773,297,361,
847,647,790,805,411,026,779,131,996,833,517,920,038,234,910,855,861,557,172,
574,395,081,222,970,431,144,179,212,942,306,150,132,642,731,588,650,117,734,
243,969,763,527,939,082,069,516,905,911,050,594,204,391,717,448,658,695,883,
595,782,413,361,615,907,073,023,192,751,324,928,843,980,078,397,413,937,749,
316,607,506,206,951,385,498,007,558,714,177,693,492,169,669,942,183,938,029,
733,294,460,129,817,713,513,747,085,663,710,534,895,088,994,595,818,178,457,
233,542,363,201,329,367,801,307,441,663,910,423,609,207,158,238,478,483,700,
349,155,604,622,166,401,951,770,749,714,165,763,631,858,475,431,599,791,354,
764,746,379,719,726,831,024,632,935,463,455,810,749,237,530,069,675,882,390,
941,640,641,517,880,013,963,737,316,820,696,138,450,052,028,925,411,410,660,
002,213,966,771,997,775,360,762,851,057,424,052,696,349,506,907,579,160,576,
764,114,567,228,196,670,465,652,747,453,133,922,803,522,585,407,478,722,454,
784,877,071,625,577,871,467,235,190,730,845,389,650,874,090,210,815,252,674,
762,322,153,660,476,521,847,172,454,415,626,610,445,701,443,531,971,613,164,
705,564,113,443,473,202,846,940,220,615,133,921,003,750,234,206,810,823,558,
450,073,830,892,808,267,811,543,194,645,975,213,231,299,993,996,797,118,081,
140,790,949,650,105,108,258,521,766,360,337,927,549,225,548,326,132,375,583,
597,348,418,315,653,585,424,098,476,565,857,601,702,584,708,036,338,267,692,
913,046,594,437,756,766,986,814,651,111,913,893,673,495,009,252,596,578,241,
462,022,872,437,630,487,933,417,551,383,780,914,499,575,154,712,841,752,496,
305,698,289,464,692,981,884,853,633,778,804,916,984,124,839,835,359,311,325,
039,006,408,282,158,771,867,455,286,454,602,068,510,836,678,768,767,788,685,
905,890,446,088,783,699,031,587,486,381,223,459,575,842,164,433,305,268,227,
748,782,196,655,846,613,221,130,638,397,604,420,722,315,180,410,197,881,412,
286,485,653,032,071,711,091,833,114,727,553,046,083,289,514,794,781,634,149,
664,217,008,590,105,025,863,843,336,899,017,077,317,720,258,531,044,232,067,
437,346,587,574,851,873,288,117,498,935,156,322,821,435,055,399,087,676,075,
325,033,940,901,725,233,553,508,408,350,149,350,152,326,483,213,222,931,677,
110,155,119,005,055,460,078,268,454,424,692,937,605,700,227,252,186,063,032,
564,188,629,802,040,472,284,289,900,123,576,957,430,732,324,736,005,743,689,
106,550,591,807,730,193,948,086,947,462,858,050,120,914,797,496,259,302,685,
740,788,323,307,773,638,438,662,586,573,908,540,729,745,495,713,934,739,623,
081,004,000,771,289,824,575,500,182,002,303,342,468,217,078,313,679,949,185,
747,435,317,578,388,202,205,930,175,047,218,679,409,939,458,857,522,070,330,
668,852,424,826,383,385,130,576,806,851,534,766,651,091,918,949,966,615,332,
388,009,717,603,653,630,352,140,966,068,053,975,050,373,173,941,524,169,940,
968,692,761,935,703,870,526,090,258,715,320,626,505,844,409,219,654,469,769,
372,693,339,988,664,028,878,140,142,433,882,664,540,733,952,430,153,543,371,
304,958,475,743,555,466,556,903,998,161,829,808,026,557,185,377,321,858,411,
997,201,400,316,613,416,658,708,874,750,852,510,379,854,149,381,932,771,592,
243,979,955,634,455,856,297,149,698,538,741,293,860,863,968,607,334,355,750,
735,496,850,520,451,745,630,839,927,946,628,718,399,815,526,779,020,808,422,
787,080,523,176,835,401,542,181,155,283,948,260,750,178,541,913,754,090,661,
827,512,185,077,436,110,046,770,954,159,879,609,738,578,034,495,624,820,461,
175,278,175,197,663,806,384,871,676,086,028,729,630,542,928,790,486,984,516,
237,274,700,504,906,990,868,137,803,455,898,859,472,755,322,459,992,056,186,
057,029,197,975,147,742,251,298,112,692,695,374,683,215,650,264,580,619,279,
997,725,904,012,000,886,826,545,923,699,716,148,646,246,369,255,987,922,998,
055,283,829,169,666,474,534,081,167,651,498,191,084,169,906,241,354,019,719,
839,681,198,018,698,528,322,459,942,928,433,821,870,897,995,553,417,312,974,
808,389,127,152,159,510,499,919,108,996,734,175,879,720,759,223,542,296,668,
569,753,424,798,789,099,746,323,741,470,365,424,702,398,950,044,277,475,119,
898,193,823,873,821,009,772,003,406,109,013,081,070,297,034,407,974,358,265,
490,475,718,844,549,935,337,886,347,615,830,914,980,155,053,192,657,950,240,
751,482,763,499,714,123,398,401,839,195,621,135,305,855,592,202,104,925,091,
301,486,186,493,857,433,683,288,021,663,222,094,632,954,304,112,698,014,809,
321,720,887,063,919,282,446,439,805,000,857,212,769,428,242,273,137,562,525,
339,431,066,608,253,185,454,795,524,984,823,529,981,137,768,469,673,571,381,
326,595,349,775,206,451,909,503,487,485,631,892,029,351,621,006,914,749,990,
691,019,850,907,773,754,960,225,254,943,556,624,507,344,475,281,974,345,395,
244,265,716,439,499,667,126,226,266,986,059,332,645,506,808,016,880,819,709,
860,034,778,475,424,821,648,748,115,948,666,326,417,780,037,695,525,161,726,
511,009,386,245,275,700,030,740,389,603,889,311,596,465,529,891,575,393,614,
975,285,036,122,485,862,845,718,663,508,596,363,489,980,469,525,687,182,398,
676,320,793,270,849,982,608,771,014,946,257,364,374,623,624,530,672,542,609,
172,202,957,048,263,712,245,715,218,827,305,201,334,806,221,714,701,543,669,
242,439,895,595,113,494,770,246,900,131,574,057,259,803,992,428,292,715,559,
424,302,996,038,374,563,598,422,585,013,168,458,466,992,778,942,019,615,459,
120,081,048,635,787,725,971,360,944,128,666,750,718,006,369,151,637,500,659,
800,657,605,569,928,749,604,547,723,146,806,339,185,137,195,721,773,791,670,
571,358,559,419,009,411,156,437,725,461,067,986,072,797,776,815,354,098,754,
913,928,644,656,866,321,571,156,128,769,995,411,258,496,875,715,792,836,210,
067,404,429,332,936,302,631,604,511,318,652,388,008,912,071,635,320,251,379,
530,279,792,862,252,593,664,131,886,994,959,533,352,028,651,706,427,492,601,
739,053,738,080,035,675,887,329,299,678,567,790,875,881,893,268,312,016,314,
297,569,315,235,082,316,173,961,058,743,726,392,232,510,353,404,479,337,462,
137,351,857,078,450,310,559,085,408,519,527,422,429,267,397,490,120,391,215,
025,950,108,605,881,980,463,530,761,726,552,994,580,762,291,971,921,152,901,
980,233,884,259,913,291,632,453,837,830,589,406,910,224,211,112,631,512,818,
734,308,197,300,584,407,828,411,616,134,832,907,550,702,795,294,160,034,203,
971,021,593,148,588,263,224,380,131,202,858,538,708,066,537,866,825,943,593,
136,391,483,025,635,751,410,117,379,556,317,144,997,328,408,195,849,662,222,
519,152,036,167,923,196,209,642,667,618,468,488,901,536,677,604,814,892,165,
830,211,499,823,135,982,200,622,764,774,931,195,405,684,829,149,712,546,320,
715,864,933,617,633,729,668,818,347,023,565,826,262,000,868,290,406,323,627,
801,443,767,107,862,495,960,404,986,805,134,225,364,075,772,470,895,309,567,
029,377,516,022,764,083,224,301,589,130,561,462,181,980,348,866,329,307,738,
542,963,812,170,927,828,613,191,706,400,554,882,654,259,201,677,424,989,839,
326,860,678,525,360,715,875,186,117,620,877,847,955,197,139,394,395,163,329,
027,667,754,035,579,376,259,009,964,034,496,138,286,809,895,039,978,069,678,
822,110,536,196,969,042,937,580,435,218,918,259,278,141,241,207,329,990,369,
680,288,482,284,570,624,062,706,819,930,223,555,155,160,603,084,460,226,222,
568,604,341,124,817,093,793,800,519,493,184,811,020,027,838,707,650,825,382,
600,292,623,412,102,693,631,684,109,053,637,444,109,636,579,258,943,688,389,
093,038,159,929,382,675,646,957,191,344,336,853,080,696,088,558,083,707,142,
705,093,817,914,013,964,997,673,873,882,183,903,477,502,811,860,896,038,478,
576,587,464,614,529,385,831,949,094,317,030,432,411,399,033,269,139,383,370,
857,328,781,797,094,743,256,584,529,176,390,509,449,208,455,895,336,560,675,
803,921,299,047,756,938,989,850,047,871,191,149,919,078,345,993,123,813,647,
573,149,319,839,833,807,923,006,625,345,358,710,042,751,689,757,296,993,617,
781,589,362,388,900,238,872,555,618,082,937,295,291,398,924,838,496,499,905,
999,617,204,141,172,290,955,530,549,487,478,431,876,637,418,298,144,648,644,
996,473,489,224,983,819,320,862,390,005,609,853,515,397,829,944,641,630,888,
066,887,914,749,153,636,360,459,394,057,546,456,577,677,168,506,876,180,844,
195,591,021,836,349,416,876,629,285,468,304,615,768,813,546,754,472,241,867,
928,292,513,475,162,898,035,463,001,963,606,387,333,415,234,236,041,244,757,
506,109,568,625,608,123,060,340,879,201,462,633,078,916,062,384,515,456,102,
471,829,172,553,293,316,721,785,520,458,909,192,620,046,983,289,617,652,634,
608,037,042,560,581,826,017,408,170,878,713,871,704,710,224,217,761,586,919,
735,044,023,941,701,087,375,513,838,009,020,077,911,036,337,340,591,582,773,
109,723,593,603,415,109,614,236,013,018,126,517,741,048,280,008,865,377,531,
376,948,497,294,970,317,104,183,074,244,521,508,449,678,165,031,848,401,182,
723,606,283,901,354,785,298,241,647,425,152,576,397,748,689,069,599,875,654,
930,678,247,176,694,261,294,360,446,174,550,709,292,757,417,124,067,873,043,
656,398,996,367,841,845,680,226,673,362,147,193,508,773,335,942,748,514,285,
918,847,533,870,084,254,057,589,454,689,322,824,951,691,843,605,132,574,266,
894,800,523,095,399,738,406,891,344,101,364,669,827,519,134,473,745,778,920,
558,014,352,169,398,313,152,722,553,632,514,468,613,276,221,225,570,557,053,
995,602,591,137,170,254,327,478,842,749,905,971,264,109,908,657,121,655,185,
119,393,142,439,316,530,704,083,388,644,337,077,688,449,949,538,488,573,872,
391,825,278,275,729,069,571,038,973,974,862,037,321,267,359,222,571,938,432,
098,067,265,815,651,898,573,130,938,242,021,818,988,934,816,023,199,679,873,
124,965,643,178,396,448,633,719,801,148,198,826,424,161,616,532,594,043,276,
263,458,738,116,272,277,248,928,856,244,178,826,837,103,903,301,163,945,241,
952,890,285,953,276,096,354,865,438,137,382,836,206,485,696,298,546,754,910,
144,890,204,953,280,991,430,502,778,988,377,834,585,772,113,166,792,515,850,
926,740,571,525,205,346,382,286,851,503,929,721,909,241,939,703,064,065,608,
066,299,580,400,076,900,535,051,122,116,928,706,331,829,355,015,595,397,861,
915,660,272,015,059,979,617,756,966,555,011,286,785,140,433,372,799,323,328,
624,990,528,919,387,803,108,093,908,900,125,321,935,916,477,154,373,145,003,
916,418,710,451,668,225,849,071,558,957,612,020,854,019,943,050,500,047,766,
154,102,167,808,795,858,557,667,057,080,599,612,085,162,401,202,135,601,652,
827,810,102,694,621,514,691,947,519,008,288,834,478,955,303,028,093,894,351,
155,144,023,111,050,883,022,528,851,662,898,436,595,154,691,147,609,788,935,
558,603,589,804,256,694,710,400,665,310,982,063,106,415,212,138,899,577,322,
682,108,612,417,855,873,834,465,689,166,803,719,963,994,353,134,727,480,037,
405,733,286,841,843,659,179,100,016,501,375,343,008,758,897,213,613,937,635,
447,010,310,138,842,137,832,823,544,372,159,475,780,976,197,104,922,131,485,
312,518,395,661,947,170,154,325,439,520,829,581,429,857,726,714,041,088,809,
414,858,255,231,452,620,090,090,506,170,369,855,718,494,571,819,070,918,421,
752,212,942,000,648,047,255,432,229,795,627,008,242,825,753,713,053,293,583,
737,716,896,606,210,812,510,378,406,671,549,809,442,258,713,147,082,520,099,
945,565,678,350,191,357,660,275,877,194,312,891,807,925,615,044,553,623,743,
657,184,727,800,849,637,285,462,875,544,100,431,502,141,373,454,417,378,298,
854,105,220,128,237,340,597,140,658,339,673,727,825,941,934,502,504,928,501,
444,592,277,152,281,008,428,423,110,320,574,354,904,453,639,675,341,406,088,
581,769,498,500,002,619,834,058,450,516,390,977,813,362,421,727,540,485,573,
693,069,778,592,961,535,030,447,151,057,101,621,417,908,057,290,042,304,302,
141,903,704,075,350,773,610,392,141,839,819,138,710,372,357,081,301,059,122,
922,984,298,603,032,620,043,691,793,066,941,066,865,318,411,944,918,334,788,
431,085,117,452,052,793,022,019,892,835,682,426,759,224,504,631,769,494,552,
893,931,693,189,056,098,249,756,099,209,510,764,455,457,266,091,052,197,436,
214,022,566,607,665,230,905,879,416,319,516,361,197,028,987,104,894,449,307,
013,973,180,559,807,301,226,694,281,489,068,064,108,339,070,938,785,252,573,
831,286,456,727,948,874,068,942,504,630,514,743,145,708,606,955,434,480,798,
011,228,009,353,580,228,301,020,959,446,966,481,342,911,936,034,493,950,933,
733,912,853,974,121,946,943,473,715,036,096,632,743,336,327,488,424,850,506,
598,752,885,660,888,021,589,604,369,790,107,242,624,875,712,719,303,272,874,
655,388,564,378,497,983,589,935,235,387,655,326,935,778,454,798,519,271,334,
540,386,478,508,498,016,078,396,840,541,492,523,402,509,304,953,540,306,382,
524,844,167,019,768,763,098,352,357,707,561,387,381,205,381,269,743,726,274,
605,288,240,397,223,885,752,667,658,775,669,277,725,855,284,192,725,004,258,
960,960,934,114,830,051,794,251,044,420,941,304,883,196,157,237,663,597,039,
698,640,876,766,690,965,666,720,426,261,190,264,305,413,005,991,520,640,200,
621,074,323,790,693,162,703,697,843,706,682,868,533,647,021,648,076,568,114,
970,609,991,573,080,133,131,723,757,144,127,383,145,897,098,888,021,681,074,
558,758,903,009,575,988,206,196,049,395,969,264,245,571,035,224,588,807,365,
962,946,194,579,130,303,104,410,244,964,163,400,606,001,519,456,422,580,380,
484,962,278,387,411,957,642,972,541,212,811,665,724,298,697,260,417,867,643,
564,145,552,230,665,700,893,163,707,943,718,968,673,401,952,630,517,049,475,
408,937,040,700,597,713,144,014,041,974,319,588,473,379,086,723,189,075,968,
531,029,130,265,327,650,338,224,911,380,820,429,105,058,722,601,148,967,897,
924,949,946,505,659,838,414,804,445,794,534,394,325,800,399,294,049,363,800,
109,670,960,925,622,724,522,150,156,329,563,724,914,179,246,013,812,365,984,
032,239,970,414,162,187,105,414,567,014,847,556,068,073,406,896,471,951,664,
932,983,965,102,188,525,989,028,383,951,726,343,340,037,742,467,765,161,518,
211,549,889,846,609,406,773,257,740,070,352,935,122,821,552,605,960,393,264,
734,741,430,529,226,013,002,801,220,824,049,210,370,213,887,967,535,052,873,
949,865,211,676,487,736,192,203,408,570,520,419,235,169,818,413,339,908,777,
007,978,694,465,299,462,328,473,200,122,126,317,051,392,207,121,084,068,977,
375,769,040,885,417,985,085,461,409,127,740,639,600,905,032,935,844,315,050,
659,343,701,490,490,493,067,389,049,357,291,358,309,777,265,541,427,341,293,
103,553,175,515,198,034,088,524,358,562,431,285,973,180,363,287,682,330,904,
544,182,072,652,697,260,992,379,611,308,549,201,367,964,514,015,617,795,585,
255,454,073,396,014,824,731,251,586,409,728,582,404,344,797,408,090,636,674,
140,271,015,633,425,020,062,082,817,578,807,451,451,680,080,619,347,603,602,
573,502,895,650,425,491,211,219,612,308,250,030,220,222,487,253,705,048,171,
141,858,610,552,777,905,276,799,713,280,128,492,075,378,591,121,744,891,344,
962,008,714,366,481,154,040,221,714,738,199,645,524,701,064,828,945,078,892,
588,932,212,691,558,326,262,411,955,847,746,414,803,530,468,464,090,857,857,
175,398,373,257,892,997,611,764,852,573,237,836,777,386,358,894,706,902,028,
091,480,001,599,570,322,996,271,941,782,228,458,341,765,451,755,315,490,992,
552,230,320,544,744,807,820,951,744,526,539,667,579,070,320,690,462,793,184,
165,751,474,934,182,982,898,323,711,211,984,039,280,727,364,495,366,043,246,
091,263,619,658,129,601,327,491,347,347,444,979,007,889,990,548,618,912,864,
850,403,602,545,532,332,739,949,988,320,028,071,487,890,088,434,276,659,300,
201,134,658,427,697,996,108,355,186,272,330,700,338,995,273,108,327,083,488,
547,098,699,841,389,349,728,771,476,781,953,278,865,764,241,550,849,834,819,
721,366,343,502,200,570,544,510,228,886,478,080,930,972,371,100,691,539,785,
847,260,442,986,292,450,859,992,605,483,326,232,851,296,367,974,761,288,032,
914,958,197,273,700,660,748,450,429,067,036,291,786,352,689,768,190,590,938,
694,680,721,838,384,999,675,094,589,851,690,398,124,191,577,285,582,033,365,
819,190,174,668,631,398,243,442,566,899,401,841,458,628,577,050,400,962,055,
707,595,096,612,675,055,844,339,283,354,634,494,611,084,775,205,655,123,905,
828,114,547,328,627,891,046,994,352,382,775,179,601,964,158,421,900,130,420,
334,156,520,866,662,898,595,121,624,297,472,703,350,739,343,441,721,503,853,
738,292,086,267,744,426,965,409,391,379,196,415,332,821,535,835,401,336,195,
857,141,683,401,795,053,688,840,052,961,949,966,999,408,419,922,107,347,855,
456,043,278,425,674,186,985,037,303,777,763,371,745,900,293,163,343,177,021,
297,805,713,273,633,369,954,531,373,248,171,878,937,522,189,366,347,006,458,
633,295,016,276,651,759,338,891,972,673,872,743,994,318,932,710,005,112,373,
458,622,397,567,650,768,035,610,802,741,552,236,185,082,612,455,423,821,524,
713,890,672,472,391,166,678,213,423,070,462,648,209,309,698,122,864,633,482,
417,928,078,387,100,908,952,827,621,467,517,718,070,033,226,664,178,350,784,
797,264,160,170,829,761,171,254,290,972,284,017,026,779,229,431,861,668,386,
587,133,055,007,565,988,443,406,672,887,304,753,697,652,832,540,338,120,050,
773,745,485,456,892,232,346,236,861,092,357,448,351,241,241,446,122,226,132,
423,121,084,182,727,797,689,833,959,707,090,107,204,118,341,659,550,136,568,
456,300,598,648,453,935,500,235,786,751,452,330,159,493,333,506,678,505,592,
659,144,647,108,307,474,511,113,851,540,515,007,961,366,353,779,343,750,340,
278,614,899,964,220,891,299,890,198,804,044,938,519,997,043,519,702,747,392,
635,346,383,669,841,964,009,375,558,603,144,063,736,736,472,210,047,704,898,
272,340,347,211,714,333,554,765,239,808,127,432,697,809,196,208,848,297,436,
557,716,346,131,240,443,409,425,041,815,205,248,209,270,999,497,220,733,162,
301,799,602,878,985,928,689,196,070,054,463,923,511,597,223,901,308,000,387,
648,182,737,225,063,606,017,575,342,000,419,012,293,409,219,062,413,274,328,
287,286,901,906,064,877,152,807,544,854,787,040,603,241,494,857,028,620,747,
808,834,602,064,248,481,942,160,817,901,569,065,796,318,579,432,231,586,791,
022,518,925,753,847,875,804,017,322,479,519,661,291,486,844,106,039,282,881,
135,022,967,597,118,757,465,132,292,624,108,626,636,536,744,543,651,099,845,
435,658,765,193,056,220,749,459,672,335,355,637,356,952,391,894,235,817,696,
919,387,111,088,856,311,459,265,196,993,593,558,369,364,894,000,448,261,847,
906,729,668,931,161,515,338,013,746,001,468,648,643,832,433,045,712,292,296,
297,155,322,009,594,085,815,917,318,600,787,758,140,408,748,624,619,344,351,
235,222,836,340,744,881,469,837,624,387,191,174,130,286,280,111,017,091,505,
794,026,745,338,585,134,266,459,870,679,445,175,076,188,993,124,885,952,104,
506,646,202,642,601,519,923,282,526,284,711,081,924,136,891,930,067,127,787,
478,950,581,088,621,344,616,573,162,612,936,187,205,978,685,412,962,911,148,
822,720,694,003,751,089,466,389,734,008,113,583,487,035,348,867,752,530,255,
861,162,172,145,713,946,029,560,095,898,319,969,880,656,653,430,310,807,315,
426,699,052,368,525,263,332,833,102,870,972,031,984,435,637,532,346,671,771,
749,672,655,812,350,096,198,015,233,230,829,559,502,126,146,818,180,287,215,
989,758,484,864,365,191,950,397,454,677,264,807,451,923,808,548,369,850,024,
955,667,259,794,674,906,916,654,839,401,701,216,944,767,906,549,651,933,862,
069,192,835,798,465,133,022,334,828,494,386,260,677,498,751,763,493,672,928,
612,794,287,536,028,791,488,967,604,328,480,927,433,519,662,610,209,784,716,
956,350,394,797,103,378,916,931,804,182,281,044,183,130,717,632,915,920,621,
089,613,699,619,620,700,896,502,046,510,434,936,286,552,774,966,736,606,338,
192,347,509,546,794,008,100,094,972,429,621,001,872,578,794,111,672,447,562,
286,950,095,776,415,419,913,346,138,832,531,466,880,042,012,622,469,578,919,
777,666,087,466,647,973,964,739,808,205,393,795,918,084,061,491,597,434,199,
838,634,201,100,622,438,874,648,601,067,771,224,675,472,205,975,722,756,399,
065,337,408,703,255,160,859,162,269,593,670,073,351,351,284,687,887,368,506,
820,786,806,749,074,515,271,062,540,958,069,564,940,731,562,148,290,475,497,
446,732,253,899,269,920,656,664,352,004,400,804,016,657,796,998,078,524,188,
506,071,377,796,750,389,565,021,302,993,096,934,803,792,279,224,556,007,428,
407,180,656,531,210,201,731,587,636,448,065,253,961,205,149,037,101,497,002,
363,318,172,438,930,864,666,548,615,338,163,426,241,381,809,594,110,729,267,
013,947,347,014,113,432,592,056,328,413,771,351,133,158,622,839,815,811,106,
869,672,610,206,495,428,070,468,383,650,396,745,424,606,251,243,257,709,311,
121,198,092,377,293,166,820,761,108,100,043,165,971,318,576,932,324,602,447,
112,465,845,585,673,249,679,906,023,343,877,563,223,532,586,712,604,851,521,
354,073,947,672,175,478,065,574,504,411,849,169,179,487,922,137,561,804,257,
329,365,137,515,984,866,887,514,147,894,065,841,954,017,876,651,624,474,965,
341,157,340,289,301,012,773,341,830,286,371,433,532,444,792,685,979,298,113,
082,002,090,312,226,991,886,286,329,702,240,318,401,303,849,309,965,436,141,
261,744,074,074,321,576,995,475,586,924,915,438,997,106,506,282,829,357,296,
700,793,725,150,656,570,267,086,273,968,900,481,041,820,097,112,412,808,644,
590,653,227,433,358,298,738,758,945,675,124,107,096,471,476,111,155,887,630,
352,431,955,091,709,080,006,730,333,593,160,325,988,384,218,152,846,551,323,
743,959,709,910,840,146,117,321,512,801,506,907,240,359,167,881,562,816,046,
204,957,861,909,873,960,716,837,219,711,072,379,355,867,866,554,679,330,029,
873,548,922,241,309,766,162,675,719,206,196,907,212,825,990,688,898,690,588,
307,078,859,317,210,466,076,423,164,770,723,798,117,840,810,760,404,199,437,
944,448,826,732,170,529,190,605,212,016,555,263,357,385,701,898,991,554,458,
606,653,360,645,505,194,869,910,823,199,300,957,161,309,266,144,779,547,950,
307,730,245,509,317,993,019,281,925,156,434,133,176,555,308,760,350,884,849,
647,807,150,559,202,868,798,661,379,114,082,941,535,713,285,896,512,700,526,
405,462,037,562,767,447,996,818,861,284,447,724,805,182,501,872,638,024,717,
124,487,951,389,962,120,470,569,884,100,560,949,357,204,122,736,616,316,201,
548,109,691,013,190,112,869,383,667,858,936,267,385,096,904,523,209,720,598,
936,264,637,344,108,768,820,545,138,610,401,961,127,432,640,440,002,567,897,
526,210,804,027,105,212,304,415,224,706,968,237,534,248,179,798,629,971,030,
770,056,002,400,731,262,826,770,496,773,582,335,909,497,277,919,727,229,881,
499,330,641,894,083,007,514,056,395,429,167,464,282,450,026,696,514,461,880,
952,585,766,411,085,624,516,164,145,937,372,353,145,473,657,238,481,096,959,
083,362,710,480,557,506,555,375,576,281,161,737,187,374,986,165,267,044,475,
726,162,581,254,956,378,466,733,717,907,679,647,278,907,452,493,902,721,763,
132,648,216,519,064,632,464,956,596,211,193,473,537,726,142,650,100,632,271,
058,216,373,608,662,389,197,410,705,902,921,087,196,251,584,039,399,199,900,
676,226,130,176,995,429,845,304,619,566,188,604,637,052,150,074,364,967,155,
365,567,114,338,281,108,056,414,626,168,929,671,540,722,764,555,972,706,162,
420,821,585,740,693,549,846,979,549,646,525,374,692,091,908,534,990,798,835,
193,163,661,527,047,740,675,438,462,776,452,998,773,109,982,635,020,982,733,
471,427,343,341,966,944,167,310,992,796,109,517,858,384,557,502,915,344,198,
519,460,560,810,509,973,952,267,291,634,727,503,024,111,950,545,279,120,152,
997,456,926,408,958,107,926,062,545,781,092,734,571,918,519,513,583,292,689,
835,689,164,080,476,865,017,556,010,531,837,563,776,776,552,626,607,044,090,
056,453,616,400,907,850,630,816,378,365,134,939,685,142,910,759,223,084,984,
995,908,369,264,338,253,932,144,865,799,637,096,690,911,801,745,901,926,110,
083,135,380,752,168,209,882,932,921,848,200,513,279,369,774,911,881,831,268,
088,176,780,161,539,812,269,381,863,941,972,678,346,079,105,011,148,774,522,
659,111,558,665,449,522,384,001,494,219,700,024,386,908,897,802,482,546,346,
911,608,177,347,710,477,442,044,189,587,474,882,698,394,449,164,467,585,751,
904,189,888,421,798,401,522,712,630,408,171,782,752,949,470,184,959,263,336,
511,497,567,545,559,636,621,140,344,349,736,522,164,045,338,468,940,726,440,
691,915,864,390,427,319,875,057,359,889,038,791,690,599,029,959,132,441,938,
123,744,056,283,296,366,084,810,145,443,864,894,523,905,403,255,660,154,381,
889,717,138,739,642,254,629,087,309,460,829,488,670,028,529,074,072,569,681,
949,364,529,735,846,341,700,072,155,937,514,999,124,307,656,256,765,739,443,
776,310,582,369,797,273,541,291,282,009,251,454,789,684,445,398,067,395,902,
154,608,654,420,204,064,549,649,229,156,029,447,278,815,802,934,069,684,989,
223,366,573,125,540,908,026,867,235,744,280,157,349,456,658,164,184,209,005,
829,219,652,351,535,099,246,508,782,611,239,309,495,471,504,211,021,542,789,
721,955,446,769,946,589,033,263,844,169,811,968,268,902,634,722,210,015,561,
282,676,958,517,551,982,094,022,161,731,644,902,382,953,628,528,314,351,251,
667,943,731,413,610,874,318,776,293,440,243,651,289,428,100,852,404,406,102,
556,257,782,121,508,028,199,523,803,077,256,473,959,175,279,529,169,972,427,
636,446,506,723,115,009,717,207,443,969,540,857,711,632,736,398,872,096,269,
248,035,632,567,436,419,012,123,232,515,862,872,934,762,773,485,378,527,717,
496,527,788,461,506,025,307,302,943,761,409,379,590,848,994,578,843,893,701,
502,839,557,213,626,163,672,812,149,891,256,539,770,817,117,211,658,554,029,
412,593,215,900,641,602,263,582,774,828,845,531,954,122,485,698,082,729,517,
603,226,560,414,967,925,316,308,230,449,519,104,270,996,418,989,643,694,795,
576,230,337,488,845,386,203,684,600,428,502,619,986,260,158,781,870,595,323,
410,514,984,455,643,661,028,154,203,472,040,197,563,796,156,285,499,080,295,
615,034,139,913,188,343,883,322,104,930,042,459,092,104,164,187,545,718,130,
286,654,318,967,078,971,431,629,238,522,806,480,388,943,605,887,512,711,773,
322,187,560,133,970,513,074,853,737,315,808,781,788,800,865,891,920,833,643,
088,737,544,228,513,350,712,459,646,459,847,199,376,173,605,101,457,615,271,
426,926,812,565,507,558,485,720,561,221,484,900,638,890,056,659,322,995,412,
544,179,986,141,569,389,024,851,978,652,264,289,943,053,032,515,216,039,956,
777,486,905,416,349,808,259,760,378,390,975,094,002,637,473,156,954,705,261,
658,554,414,382,908,791,822,954,938,187,409,528,207,673,030,576,907,837,856,
753,139,890,786,816,413,023,986,969,608,364,564,765,854,704,288,521,110,959,
692,836,142,305,989,069,034,889,652,985,323,044,274,054,592,800,576,892,588,
206,369,523,679,712,507,511,569,486,430,517,302,324,869,527,871,724,290,847,
832,754,133,683,321,959,419,984,172,141,654,628,375,399,218,732,508,225,240,
231,481,254,200,366,674,219,985,169,819,430,212,364,157,230,666,533,204,796,
909,917,754,232,947,070,866,895,695,438,992,562,011,825,142,683,473,807,141,
941,645,071,148,441,679,985,355,968,523,682,959,725,445,464,280,615,265,953,
691,398,564,054,130,342,219,467,224,679,349,885,410,078,173,877,412,281,884,
175,708,837,657,644,940,528,095,761,057,848,284,155,259,994,030,194,824,296,
184,809,373,039,236,265,370,339,104,505,241,657,815,284,277,343,741,505,023,
208,908,909,382,703,763,140,110,004,979,824,156,759,413,926,531,176,884,936,
527,930,040,654,481,173,309,013,185,099,108,213,847,388,816,406,516,341,802,
073,851,512,574,242,361,078,299,643,508,438,680,394,320,784,864,857,573,139,
090,027,204,773,404,934,654,805,929,799,440,479,166,629,165,205,374,466,521,
499,801,735,162,913,785,074,340,788,167,800,376,766,143,944,392,782,074,948,
927,928,029,706,702,832,058,246,209,860,444,093,651,210,190,764,310,396,657,
512,479,677,133,458,609,852,220,040,721,995,223,695,963,814,980,924,366,442,
420,864,794,301,412,837,105,403,493,314,498,906,095,306,015,732,480,915,797,
452,917,095,000,505,513,467,020,746,338,966,297,702,072,383,323,928,924,502,
605,578,091,516,906,440,222,355,114,451,832,497,850,626,633,837,741,688,771,
656,853,316,631,606,514,735,677,509,745,559,406,764,417,479,549,418,605,850,
409,341,520,188,241,193,713,584,528,018,180,940,066,070,947,135,814,954,621,
830,025,576,315,364,426,614,918,088,917,882,429,849,320,340,181,906,435,014,
879,464,083,355,797,916,234,986,704,488,976,151,732,656,687,302,952,513,954,
330,051,412,971,277,751,532,682,502,033,304,039,320,179,332,829,772,396,120,
383,566,572,939,381,630,588,615,453,137,927,986,260,716,565,052,049,105,968,
293,071,392,854,430,969,282,741,507,592,508,411,664,919,445,900,596,530,318,
794,393,963,219,594,155,140,072,074,013,326,625,755,677,710,800,188,777,998,
092,817,415,892,031,177,461,572,074,786,283,357,506,630,039,772,810,206,361,
157,936,289,478,699,459,797,547,763,194,954,054,361,468,545,068,350,793,056,
784,175,006,784,513,069,619,139,881,104,321,206,370,959,369,685,550,328,050,
319,332,543,591,480,757,315,245,739,980,605,389,092,826,738,395,330,069,552,
469,175,483,226,195,103,182,099,318,915,115,939,007,111,321,488,740,141,083,
183,226,421,844,765,182,229,494,301,867,473,699,260,478,814,153,370,595,759,
593,724,687,238,013,450,166,217,287,582,554,743,416,447,882,748,800,112,741,
893,400,748,684,285,280,441,268,450,150,746,011,994,592,777,706,335,007,675,
998,993,906,110,156,954,390,648,106,283,177,371,631,040,834,063,415,766,062,
522,265,452,196,160,314,162,118,562,998,663,097,543,126,444,971,790,430,217,
818,408,757,823,651,081,686,492,707,533,349,724,556,567,335,310,808,689,869,
611,613,676,751,191,126,915,008,578,154,037,391,052,819,785,583,000,230,259,
741,512,444,986,819,983,312,408,961,920,171,334,983,053,686,035,426,037,169,
116,261,741,226,952,429,864,096,432,317,433,605,924,987,223,710,412,169,073,
451,156,629,170,106,837,900,897,472,216,771,334,620,163,979,746,929,115,438,
695,896,716,347,502,798,809,417,002,515,024,679,824,007,912,562,830,019,738,
826,618,429,454,632,583,862,916,745,324,510,071,061,204,783,455,091,480,403,
638,948,611,911,201,619,758,511,297,133,336,715,401,636,493,492,975,316,596,
760,232,461,701,769,046,864,246,714,483,830,845,799,068,403,647,757,127,910,
280,981,649,727,674,010,250,811,934,124,305,751,172,860,768,377,400,520,407,
741,093,687,082,814,853,425,929,951,568,500,790,101,029,587,287,872,338,469,
982,532,008,481,723,878,090,425,917,702,432,402,599,783,475,353,295,733,334,
301,455,394,048,517,176,247,525,316,696,800,144,785,050,910,560,365,007,056,
028,381,320,697,816,070,779,197,307,332,727,961,288,219,923,841,695,115,285,
288,510,518,635,200,714,094,890,821,341,232,220,017,555,982,828,106,585,083,
631,792,470,797,921,344,478,732,345,256,612,074,563,875,850,018,107,037,836,
071,102,772,457,837,145,530,172,458,873,415,386,165,243,308,266,231,242,653,
613,294,899,289,586,211,378,539,605,825,763,776,178,467,079,297,442,477,830,
779,114,702,598,497,863,136,215,474,148,553,661,327,957,664,003,458,446,327,
764,771,683,852,360,093,461,729,893,073,469,338,116,201,729,478,225,087,350,
095,913,128,431,022,370,899,665,632,935,731,159,379,954,041,121,205,942,148,
084,381,063,416,557,175,501,481,099,168,411,035,485,195,025,608,411,929,602,
799,461,617,883,911,294,416,493,158,791,006,909,098,968,802,674,584,414,669,
013,473,822,910,427,781,499,378,060,122,762,649,509,190,786,528,040,254,180,
104,814,504,415,307,900,449,091,505,322,170,010,824,013,247,377,929,609,171,
953,298,784,397,472,247,892,693,961,808,502,643,185,133,015,717,529,951,827,
333,271,118,384,802,969,758,403,214,838,328,586,231,029,336,563,057,275,570,
551,369,584,522,172,382,060,712,659,278,575,489,529,844,676,315,810,711,185,
117,423,124,957,556,845,422,322,137,046,769,366,565,870,556,512,067,798,962,
325,996,552,133,407,227,272,096,340,248,068,678,390,935,772,778,405,394,729,
454,624,970,324,326,129,915,363,503,523,293,339,924,201,609,288,530,857,730,
001,411,061,361,477,631,692,637,612,122,216,341,138,676,654,579,575,658,168,
301,611,626,397,452,381,814,323,357,808,222,478,992,872,650,806,618,170,030,
495,613,047,048,376,678,869,151,550,677,002,302,805,593,192,465,538,987,207,
336,380,641,171,542,987,626,204,086,260,756,390,509,245,133,892,340,325,056,
490,882,999,905,198,175,302,011,991,027,094,896,428,682,554,471,758,125,821,
146,198,143,567,164,012,206,843,838,598,794,599,642,667,284,591,915,885,990,
228,579,489,397,752,132,071,354,889,702,148,106,357,370,691,893,900,271,233,
807,870,355,926,458,860,514,043,852,305,631,250,084,090,258,662,667,281,833,
002,779,257,525,985,839,633,051,466,667,219,494,439,874,639,758,149,188,877,
588,900,682,722,202,997,987,762,293,029,391,673,582,440,586,471,215,927,531,
318,244,780,683,345,450,151,049,116,120,925,873,840,714,959,753,831,152,813,
477,027,146,563,621,169,855,068,126,879,708,965,744,426,171,693,659,508,115,
978,658,150,209,985,574,517,450,553,356,322,890,453,011,542,118,256,500,202,
430,424,369,942,115,017,921,730,248,400,515,804,392,120,152,430,145,208,661,
185,635,995,516,045,849,515,382,710,048,227,356,958,901,012,643,712,551,699,
228,771,540,095,202,778,174,433,282,020,303,183,604,974,766,920,306,197,308,
474,937,690,881,940,894,156,031,985,362,761,198,369,170,446,882,488,240,759,
396,495,061,473,998,470,853,976,531,367,477,426,750,884,493,723,593,219,529,
821,520,234,067,786,774,053,347,944,470,518,326,174,396,871,546,348,421,954,
284,388,015,493,551,402,076,332,252,087,284,492,806,106,672,956,591,747,658,
776,938,176,891,043,057,735,134,746,935,547,331,869,118,191,722,496,760,415,
040,647,563,061,162,686,173,997,159,590,071,075,902,807,908,701,725,815,040,
829,496,262,738,172,277,967,075,167,432,876,377,640,954,324,433,861,716,764,
934,399,379,560,197,184,681,022,931,536,925,494,853,442,979,844,276,140,140,
362,050,090,962,324,430,164,534,483,119,421,232,935,471,954,774,550,508,904,
233,890,329,739,349,152,524,594,787,470,568,402,744,202,193,323,300,354,993,
047,718,191,655,493,273,328,469,625,068,793,399,374,445,091,946,120,025,797,
008,947,350,027,076,347,295,258,086,420,057,926,983,247,251,276,169,178,133,
977,070,301,006,466,018,735,742,363,642,584,738,340,765,262,187,181,244,977,
723,888,277,239,188,574,773,336,547,424,114,895,335,968,591,502,510,549,999,
986,005,058,455,405,344,985,907,328,234,014,026,509,993,445,719,885,020,459,
494,911,755,207,879,940,373,651,045,065,218,383,524,382,801,807,656,119,077,
567,209,341,124,705,923,521,417,848,399,774,361,488,635,700,137,123,876,669,
181,876,274,667,756,317,104,937,717,398,391,391,611,209,833,717,979,461,662,
695,471,823,101,703,080,826,297,501,470,502,963,817,393,600,766,362,864,098,
667,141,559,691,236,929,319,247,697,393,292,290,646,447,408,528,225,450,259,
421,406,608,818,316,556,749,854,777,684,488,802,340,621,063,923,847,479,837,
280,173,381,039,564,004,622,650,113,846,830,346,396,324,161,659,203,736,072,
872,707,166,712,087,450,077,604,098,842,359,466,806,829,130,953,347,212,571,
503,658,202,862,828,175,538,239,168,582,156,132,688,738,066,837,532,879,947,
355,388,207,299,248,094,480,874,673,432,104,421,064,111,328,981,710,114,610,
893,260,131,129,843,977,828,335,487,037,529,354,626,611,142,397,812,288,751,
558,357,342,705,612,811,514,012,851,015,093,097,340,624,487,261,684,956,887,
291,343,956,209,331,132,657,383,409,545,622,663,474,252,570,940,824,545,850,
133,471,342,418,638,252,541,476,954,647,995,896,648,898,499,584,138,862,504,
607,253,546,982,283,975,660,601,351,928,296,554,770,774,393,269,593,236,953,
926,769,066,154,510,574,347,913,718,701,025,664,948,887,984,885,424,889,510,
412,024,869,548,926,358,352,510,301,888,590,879,240,264,987,870,845,957,357,
018,347,663,278,447,850,322,865,266,611,562,167,417,523,795,285,054,106,004,
855,524,587,269,854,734,013,200,290,334,444,968,257,982,332,929,357,521,643,
164,652,861,175,471,619,777,541,851,998,943,890,013,728,096,380,664,857,371,
010,986,071,994,036,996,059,321,049,082,505,096,647,828,992,230,109,462,370,
663,965,096,450,403,755,690,445,781,587,847,097,419,993,006,583,622,474,594,
173,126,906,053,908,021,082,045,994,873,749,978,601,220,910,061,473,914,628,
854,531,092,500,573,851,054,329,949,793,493,666,908,193,621,742,573,161,900,
368,221,919,382,075,908,062,539,276,005,969,277,476,325,446,735,486,771,811,
488,552,651,755,225,365,297,568,310,224,897,030,690,872,303,118,478,279,937,
965,208,991,325,760,625,167,368,929,951,907,926,449,904,392,759,198,992,685,
086,207,557,149,029,293,456,278,499,302,383,416,586,644,990,619,640,843,069,
566,898,347,657,295,398,928,451,563,481,164,160,940,899,470,107,236,986,415,
337,317,265,177,507,320,786,504,439,886,621,756,761,035,861,963,227,933,064,
071,286,928,742,951,002,774,456,252,285,432,979,070,411,893,122,501,369,360,
491,944,449,828,821,079,142,535,270,906,138,194,037,863,198,961,291,713,449,
805,323,491,288,552,824,945,374,300,299,071,883,092,046,003,490,670,322,478,
128,599,820,210,650,422,670,748,484,750,239,477,048,748,836,264,010,279,133,
907,768,919,848,876,392,164,982,727,279,044,695,372,708,844,362,237,863,104,
442,576,416,759,831,621,033,848,938,531,652,882,947,219,576,037,393,020,016,
719,473,796,530,341,231,393,630,349,092,224,500,229,180,777,251,215,734,458,
489,212,924,549,281,035,069,309,284,843,881,822,661,355,237,368,772,382,120,
898,360,290,211,339,258,441,439,111,200,783,886,606,179,080,887,349,892,500,
831,969,421,967,121,597,951,040,511,992,419,028,520,230,287,581,289,925,244,
051,545,944,862,274,642,994,985,891,778,906,829,269,087,721,252,410,271,435,
686,823,022,075,584,016,808,627,762,568,820,327,781,702,381,174,330,954,711,
363,702,562,645,918,399,170,045,168,573,393,153,549,794,172,266,603,259,441,
613,823,401,212,447,505,759,229,807,066,839,005,234,797,936,581,061,983,225,
105,716,827,349,246,797,281,057,442,256,688,002,286,741,915,836,475,286,067,
497,785,399,386,900,798,578,327,892,535,238,982,366,098,723,570,713,185,472,
176,467,551,910,413,968,739,512,442,074,084,536,893,258,833,099,097,941,849,
559,052,987,905,453,704,851,648,329,636,191,696,893,615,363,211,160,293,950,
799,979,554,315,860,546,826,420,275,142,456,263,165,687,549,052,258,306,528,
421,114,984,015,526,994,929,643,276,588,942,781,072,132,947,690,115,405,086,
288,765,377,894,262,963,817,370,967,320,113,649,030,148,378,496,791,489,591,
137,514,858,619,282,577,462,838,336,014,555,763,297,011,386,708,070,409,986,
403,771,073,732,395,604,174,582,869,876,471,784,614,289,977,799,186,675,186,
747,404,976,425,432,053,434,060,773,793,126,795,588,732,656,662,103,755,882,
503,499,720,698,025,306,710,722,698,591,862,894,404,831,123,705,036,623,941,
924,923,672,337,681,890,243,355,693,683,348,585,917,685,495,419,682,368,532,
506,633,793,267,645,650,587,878,250,624,679,557,930,868,198,395,367,494,615,
418,938,865,570,758,750,029,107,753,012,971,405,088,786,615,945,210,403,026,
016,908,783,983,328,450,755,408,339,680,528,542,013,148,431,844,093,007,647,
820,644,139,271,507,724,243,489,426,141,118,519,275,911,345,005,996,375,679,
704,513,377,373,397,924,417,898,171,464,343,984,711,577,930,559,859,418,736,
836,819,559,253,960,560,548,682,449,967,948,615,511,866,168,492,012,634,011,
267,925,063,807,211,643,059,584,234,897,442,498,323,935,003,804,283,835,985,
149,822,715,707,746,897,383,014,395,179,084,186,989,037,519,676,885,435,884,
351,167,889,431,267,173,045,080,802,917,105,423,962,840,371,300,106,996,929,
744,086,831,908,580,499,539,974,609,030,564,506,384,848,736,346,911,337,041,
318,697,334,809,000,066,583,073,073,757,852,531,661,340,418,466,837,670,150,
482,877,347,205,745,861,837,758,421,740,733,813,302,171,798,752,042,722,148,
195,621,852,359,327,281,853,760,439,231,494,608,666,677,479,552,686,547,034,
923,825,308,031,820,934,681,044,360,977,100,065,510,780,787,411,818,456,158,
332,303,890,897,307,729,872,133,457,055,300,392,485,550,790,904,913,674,415,
441,110,408,873,674,181,434,936,262,463,487,563,990,316,507,728,985,045,020,
179,563,400,233,342,031,761,715,163,689,130,973,898,901,666,606,625,734,016,
385,935,989,164,032,306,817,114,636,482,950,179,735,436,954,373,777,098,463,
747,167,277,731,371,530,125,785,634,792,068,202,283,211,191,535,368,885,288,
704,596,901,331,790,521,404,084,501,244,878,660,487,465,268,956,650,765,854,
231,711,093,293,835,912,897,127,449,511,410,562,391,962,090,975,170,274,742,
185,698,191,991,182,106,579,829,672,488,952,759,692,465,524,318,663,904,184,
760,386,667,067,583,065,992,992,145,277,974,731,179,209,559,901,579,418,353,
539,043,243,341,425,169,364,094,051,771,274,117,814,411,736,850,957,842,528,
737,275,732,977,014,523,608,427,263,410,110,715,431,013,059,529,497,037,788,
653,769,845,752,091,599,340,085,913,371,752,785,987,899,552,308,143,489,123,
086,425,148,198,527,411,902,478,943,893,098,753,416,469,797,111,535,306,457,
822,576,929,082,722,229,391,110,776,323,837,309,051,829,661,458,354,889,612,
380,388,144,926,729,451,696,205,269,428,711,851,336,296,275,069,047,194,101,
358,776,086,227,579,519,934,790,870,796,791,306,745,525,827,392,189,535,444,
206,269,262,900,590,066,003,399,169,880,840,804,856,288,909,065,479,992,348,
581,020,702,935,805,162,007,822,672,930,372,133,889,473,366,653,821,064,879,
220,726,601,011,300,389,843,492,170,689,970,816,112,072,894,814,110,140,782,
185,833,171,200,174,336,280,120,387,843,992,476,000,928,196,820,984,818,796,
204,427,788,514,745,187,092,783,344,570,229,645,087,862,258,615,190,257,834,
783,644,171,821,579,374,919,444,466,145,719,544,155,033,362,237,517,922,350,
045,061,296,997,640,425,131,153,773,249,531,451,186,255,482,324,053,531,048,
291,461,034,468,039,697,033,951,283,821,533,833,730,929,326,565,246,358,770,
049,187,581,324,169,079,105,723,129,778,698,234,204,840,510,341,990,754,112,
180,366,220,458,231,538,398,302,208,906,420,368,182,367,301,634,750,607,169,
810,320,208,444,343,735,652,992,665,957,956,820,826,255,259,835,701,779,494,
323,334,974,890,102,081,324,258,130,735,810,965,275,978,222,707,010,813,938,
553,763,050,114,193,942,891,657,047,408,654,781,830,340,996,700,715,098,493,
027,230,236,896,740,290,941,469,002,434,903,929,971,586,430,558,491,192,519,
390,737,588,528,050,078,640,612,195,674,344,700,863,904,995,660,998,249,006,
244,643,159,709,207,763,562,000,788,581,074,913,789,671,331,164,370,806,665,
991,784,164,960,388,004,209,172,203,969,607,217,862,525,074,634,288,731,087,
004,689,033,333,240,694,948,688,726,791,523,222,843,095,238,314,434,182,410,
060,757,495,785,820,511,174,325,915,901,481,367,620,287,746,211,456,959,334,
426,001,782,328,448,906,312,333,397,544,347,476,478,314,045,877,461,704,004,
563,825,054,969,871,030,836,120,220,860,286,439,547,941,926,351,423,644,769,
994,490,964,057,786,605,388,754,149,244,249,561,584,088,327,415,036,791,190,
296,279,888,037,628,432,445,393,423,838,356,219,013,793,623,038,174,241,123,
130,680,776,593,727,212,030,480,963,454,252,014,495,525,834,495,647,046,662,
681,841,149,824,744,616,888,631,548,900,964,094,725,516,132,710,451,078,611,
123,510,851,308,026,366,300,407,762,818,309,453,419,418,885,921,942,056,538,
298,328,789,406,736,083,587,745,138,299,914,322,751,204,498,646,968,497,107,
035,459,063,506,617,516,496,626,041,247,778,962,953,891,089,801,761,021,645,
076,230,464,019,566,953,355,923,436,639,205,199,007,594,836,276,175,729,118,
605,659,788,568,885,324,926,869,908,598,757,630,485,337,770,863,539,474,022,
208,640,248,826,686,933,688,895,733,991,847,464,296,659,121,971,185,945,683,
341,680,223,821,753,067,191,513,760,368,261,637,976,275,173,312,574,771,203,
726,957,200,146,540,866,373,841,404,057,141,788,405,279,105,715,472,210,881,
662,973,570,670,712,430,031,521,142,851,861,198,502,163,099,887,475,387,455,
661,562,096,333,927,050,029,772,564,143,226,454,458,219,869,935,843,772,340,
577,310,253,078,698,232,879,911,967,816,090,071,826,013,241,267,961,613,196,
610,340,293,865,962,295,580,762,988,856,039,232,714,969,615,888,727,208,048,
557,192,356,646,975,050,722,726,653,207,341,151,079,918,173,910,218,309,177,
221,133,768,715,265,159,745,092,390,616,236,293,468,455,059,286,168,300,019,
068,664,614,884,865,546,306,282,459,426,393,981,346,949,890,291,739,622,105,
040,563,561,493,085,820,579,298,298,040,804,110,428,265,573,924,195,879,869,
437,289,001,012,978,146,931,064,763,404,493,326,731,858,795,349,400,073,445,
596,071,540,896,032,464,234,377,084,254,990,216,317,886,967,789,629,963,050,
566,158,705,957,799,064,676,241,060,892,544,257,608,625,164,564,793,195,918,
477,402,856,012,717,960,308,815,819,989,292,022,838,826,212,369,444,481,730,
108,445,411,931,441,518,244,182,748,344,509,855,757,687,462,304,305,463,303,
856,698,304,156,509,610,838,759,431,778,773,714,237,143,425,502,447,895,870,
262,118,633,042,735,109,322,259,077,470,792,205,418,166,454,618,700,620,299,
000,109,374,506,118,382,781,800,713,347,582,212,130,653,581,112,551,405,537,
223,237,953,909,997,336,211,320,789,572,312,985,659,265,390,464,982,622,076,
168,058,566,397,309,664,149,767,413,087,397,540,142,559,937,523,043,250,529,
998,919,977,097,794,737,065,100,375,259,691,103,048,208,116,948,463,379,386,
994,192,687,933,090,176,237,061,549,208,055,461,260,393,436,202,661,299,330,
045,554,642,238,131,597,538,040,004,223,621,984,864,828,564,937,409,461,956,
214,563,011,503,264,658,405,548,657,643,883,468,283,293,049,913,083,392,930,
577,385,004,540,786,135,426,519,834,929,778,394,828,158,188,302,815,353,141,
583,271,933,048,999,396,996,669,862,927,680,363,357,813,035,644,160,700,387,
464,822,575,010,132,259,165,158,803,147,904,139,666,942,274,360,069,915,121,
471,528,412,408,837,691,832,648,963,754,628,588,845,909,683,480,220,679,787,
686,942,320,774,139,801,026,605,312,109,451,930,027,546,126,351,396,955,258,
504,942,842,371,993,321,403,030,278,835,543,909,304,230,368,511,268,496,089,
509,546,762,153,490,765,591,928,921,039,383,511,986,569,262,085,047,936,728,
344,953,585,081,179,354,646,883,708,523,251,255,954,433,917,221,620,883,060,
368,456,381,380,612,705,778,434,424,854,651,724,215,142,965,030,778,169,849,
327,829,401,364,165,696,136,750,714,779,326,287,188,776,317,036,899,184,090,
525,830,190,755,652,653,455,159,650,868,405,977,336,772,873,329,490,013,682,
385,051,668,444,859,443,605,043,904,742,968,538,885,747,953,291,675,235,719,
320,995,184,407,911,761,489,883,424,821,459,218,682,814,668,986,417,295,247,
327,979,788,535,860,525,252,696,596,977,895,676,401,432,775,772,204,714,234,
125,814,905,470,927,416,189,148,992,715,124,436,062,232,104,656,024,563,016,
420,065,025,810,794,020,599,954,111,069,427,200,565,513,585,134,350,127,138,
035,598,985,415,713,499,933,880,039,071,303,919,400,173,316,083,070,098,283,
867,316,629,003,500,237,767,229,514,314,198,159,352,373,095,664,243,548,304,
371,081,619,683,306,388,877,869,923,470,905,989,091,143,876,647,603,334,516,
826,224,264,451,012,965,284,741,484,023,620,603,255,487,539,633,756,768,124,
824,676,874,518,396,193,292,964,156,650,357,052,208,908,171,835,951,264,389,
665,765,837,597,962,737,379,982,192,905,659,322,186,613,318,919,584,769,379,
805,383,365,456,995,456,960,986,840,137,283,585,184,472,858,692,293,562,405,
148,868,535,540,383,523,854,355,766,100,105,519,303,936,486,603,786,268,633,
782,543,895,106,512,546,611,206,025,016,453,163,462,606,368,923,983,706,526,
216,387,717,609,572,184,051,086,158,660,500,519,603,209,194,274,888,404,454,
519,720,171,936,594,651,073,039,244,528,025,397,802,090,190,399,407,028,130,
720,336,113,131,821,163,135,928,666,274,704,787,278,491,891,298,856,614,976,
631,479,216,802,475,928,040,882,965,128,657,961,592,567,177,756,160,078,532,
374,130,913,842,877,356,548,796,923,228,976,414,284,583,944,941,723,285,356,
572,598,936,340,937,947,466,496,980,982,932,735,585,486,103,270,336,106,083,
674,841,352,192,172,787,342,616,262,276,907,279,696,996,473,999,763,275,836,
171,737,481,006,027,230,853,792,106,866,419,881,255,188,583,578,152,807,207,
700,366,262,536,019,136,763,656,803,833,814,822,989,597,246,818,939,328,562,
999,395,377,807,713,120,856,618,790,624,799,944,821,313,251,802,144,737,117,
477,292,477,835,988,428,506,477,574,494,424,587,449,672,736,174,332,243,943,
456,502,486,993,998,554,634,402,617,898,594,850,455,692,369,712,672,487,620,
930,307,896,241,593,017,482,056,520,496,423,897,135,158,227,260,574,942,269,
082,092,098,687,019,333,135,636,361,156,100,152,428,314,144,084,136,564,475,
910,360,957,338,440,995,458,606,438,695,696,595,015,952,926,773,400,316,327,
598,241,340,628,324,631,250,253,238,060,816,055,959,509,464,334,423,732,543,
276,974,890,643,149,347,875,777,438,564,134,331,770,262,061,695,401,961,165,
539,065,560,368,970,838,022,667,146,261,361,276,336,492,377,932,008,088,832,
179,957,524,122,054,300,226,987,033,890,066,542,261,672,677,235,245,620,470,
582,262,318,932,955,247,777,035,098,386,220,685,538,886,416,644,595,695,456,
057,396,715,597,650,988,960,317,388,874,615,403,152,318,989,571,296,525,957,
853,285,472,274,731,078,654,459,670,462,068,224,599,419,500,158,219,947,884,
271,221,507,009,836,311,401,072,105,801,914,811,969,920,858,757,700,536,496,
733,393,782,427,391,536,602,164,684,384,741,333,775,697,552,897,360,771,331,
627,382,156,968,374,498,856,598,426,940,822,948,034,169,888,885,023,798,130,
690,226,124,325,029,987,062,290,946,838,024,724,553,221,231,578,108,739,877,
435,721,929,580,582,318,371,237,881,592,649,087,057,489,515,995,619,788,504,
434,781,134,986,113,963,732,361,831,100,584,702,095,125,103,676,119,446,832,
659,998,863,508,619,341,134,327,942,585,159,648,114,272,459,056,933,912,324,
372,373,609,394,631,923,473,419,075,328,561,274,479,794,747,911,971,586,631,
514,119,271,830,259,585,843,578,807,441,114,305,385,487,838,864,565,189,368,
065,817,372,709,084,703,944,909,843,537,823,359,015,333,723,253,612,804,580,
254,756,004,213,756,677,859,129,917,775,259,922,570,966,828,202,314,951,579,
826,366,347,010,646,973,414,995,875,751,792,733,524,973,047,016,811,305,128,
312,200,390,588,201,643,584,041,938,447,183,865,049,792,048,533,217,439,559,
936,550,258,513,721,679,753,068,707,720,144,264,736,591,604,374,300,260,224,
618,615,165,661,226,576,623,493,324,197,370,293,595,650,041,260,963,906,464,
603,825,539,402,626,251,699,583,031,898,178,040,965,803,293,072,572,156,220,
066,863,662,484,401,742,178,385,020,966,005,840,363,236,493,261,273,376,454,
045,297,163,207,528,421,090,357,823,167,300,081,426,719,735,207,377,372,757,
781,357,527,896,988,823,419,605,320,600,132,182,175,257,805,048,988,283,837,
678,390,838,706,269,386,659,168,914,640,702,251,740,665,008,317,127,424,827,
913,504,021,775,144,621,887,225,147,623,098,102,932,115,056,094,070,250,983,
430,434,786,320,878,443,542,778,073,146,340,885,582,159,719,085,601,609,488,
707,080,941,174,439,294,121,594,810,624,632,459,422,847,090,270,013,274,516,
111,185,403,891,116,128,966,400,437,688,749,462,727,498,757,689,677,728,927,
226,562,404,352,883,875,732,879,040,523,246,667,605,968,293,751,887,344,562,
062,429,040,005,849,249,955,927,002,664,229,653,787,452,186,783,492,139,591,
238,078,029,471,711,530,183,421,155,549,805,592,409,959,963,352,931,131,346,
129,991,211,550,528,510,744,830,898,778,654,131,164,353,679,529,448,041,444,
435,242,715,694,090,001,560,072,200,009,848,640,215,749,433,530,635,103,472,
902,762,730,333,241,807,856,147,608,668,799,330,505,659,866,917,801,673,779,
016,137,775,887,241,075,403,110,599,068,618,877,167,395,356,227,600,436,398,
343,391,246,749,747,914,813,455,790,282,754,739,966,205,584,691,789,572,287,
648,196,491,478,740,575,641,524,505,328,672,185,862,198,348,525,412,969,546,
804,380,537,415,477,453,124,317,066,588,411,869,060,647,760,751,888,631,398,
189,117,254,169,938,895,325,064,725,148,133,021,022,336,750,548,550,734,918,
182,704,991,910,336,077,348,073,544,405,168,960,378,658,610,594,097,668,063,
094,412,023,487,180,667,953,799,220,476,144,678,869,789,235,723,074,307,383,
477,426,255,846,834,005,132,633,144,401,681,552,435,673,097,668,890,495,722,
006,248,688,567,474,347,194,625,871,217,991,549,352,390,675,370,286,156,957,
131,996,040,106,508,710,836,387,964,987,625,127,104,779,472,557,240,499,354,
174,013,629,233,949,616,030,834,814,863,154,772,974,968,983,688,676,653,605,
368,035,555,024,503,421,320,068,266,717,882,412,683,459,650,682,378,399,927,
797,202,048,636,438,243,272,944,692,107,125,953,833,945,612,837,206,526,408,
245,347,525,854,584,813,065,991,687,965,741,771,840,619,579,784,643,921,610,
145,089,318,043,106,961,333,647,020,287,683,653,998,469,489,321,647,002,618,
722,286,049,316,455,434,255,423,084,746,580,099,674,827,888,821,793,539,039,
042,536,497,542,694,010,279,608,584,487,492,242,899,509,329,116,602,896,289,
086,033,084,899,999,442,462,708,509,168,723,965,089,435,678,229,727,804,627,
209,226,227,663,177,664,572,789,575,122,125,589,094,039,561,519,571,016,385,
055,539,819,334,642,024,884,880,243,019,915,835,199,778,093,695,739,468,811,
214,645,602,825,001,796,416,265,430,209,706,294,858,410,724,472,261,289,868,
575,478,345,961,263,834,725,148,862,628,360,340,729,249,584,659,240,901,667,
920,531,834,844,522,918,783,767,823,572,028,744,048,246,184,688,413,489,072,
304,747,443,546,444,267,883,968,221,662,543,695,139,094,444,772,306,276,336,
538,078,706,609,898,179,499,674,831,624,150,907,222,220,990,181,552,457,433,
275,710,661,852,979,810,236,519,487,958,153,937,198,005,505,884,643,964,841,
187,066,120,875,906,815,555,719,297,328,674,201,970,249,562,908,473,562,556,
760,235,229,545,728,923,372,313,528,788,963,921,752,117,473,836,204,489,852,
872,759,131,621,465,155,657,181,609,635,730,485,093,139,341,908,145,256,216,
964,878,436,557,533,627,750,684,932,923,037,704,297,279,797,758,026,725,168,
917,677,109,112,479,214,992,346,422,863,312,340,468,860,394,582,270,668,529,
634,135,488,315,387,226,093,821,905,336,022,067,670,966,489,776,971,903,354,
561,134,337,649,430,309,953,308,667,004,491,729,370,116,748,177,669,055,886,
166,225,184,507,101,853,000,715,516,226,085,156,971,394,478,328,104,698,812,
989,182,655,968,336,578,174,298,249,790,713,026,235,811,959,306,509,597,320,
366,839,877,442,982,270,232,194,522,895,436,803,060,301,100,993,968,546,177,
173,063,962,528,199,042,762,892,720,176,136,232,712,056,383,798,887,221,832,
689,847,179,062,911,624,545,050,916,088,307,478,527,321,383,392,239,260,333,
776,112,426,275,011,610,283,820,249,949,667,691,034,494,453,330,246,386,549,
266,146,630,081,495,418,080,001,843,467,190,813,528,688,472,644,236,248,057,
734,783,400,636,294,100,483,784,363,526,495,558,707,188,439,213,908,201,324,
423,705,107,318,231,039,120,299,493,251,637,398,710,617,936,022,617,297,785,
738,471,526,194,873,779,939,895,433,464,303,295,142,292,635,433,648,557,599,
850,057,112,067,711,327,791,769,680,334,943,741,012,956,721,826,715,886,861,
265,241,085,495,891,564,394,613,201,896,551,126,706,585,676,499,724,329,982,
712,669,474,212,779,516,353,835,323,574,576,648,200,697,046,534,366,242,854,
781,908,788,674,399,607,023,561,803,096,760,899,748,720,540,597,327,652,275,
987,008,467,302,467,550,114,270,118,609,570,292,115,732,012,077,385,675,224,
853,561,032,144,619,387,655,312,409,613,695,991,035,282,705,376,747,288,463,
607,088,649,278,910,252,834,036,153,553,081,559,199,546,405,578,760,457,475,
002,694,808,285,922,681,553,919,546,077,041,013,503,078,510,835,322,955,998,
195,787,355,404,208,631,281,670,282,360,941,646,873,637,101,765,854,481,317,
268,085,873,938,918,897,029,528,102,767,092,784,765,931,240,695,220,475,988,
704,945,068,767,154,606,965,542,040,147,209,919,170,673,890,425,748,790,799,
222,989,294,855,403,287,184,246,489,130,307,272,476,634,248,036,094,083,312,
352,465,471,189,486,084,143,192,878,927,686,340,653,198,323,352,189,126,420,
111,372,976,276,451,225,487,255,725,597,002,103,597,711,112,423,035,572,981,
139,969,358,530,168,547,027,790,270,837,351,819,834,743,779,066,856,212,689,
209,783,967,492,698,173,265,618,496,490,067,507,756,511,960,088,949,655,871,
966,053,384,279,134,596,147,252,194,265,998,386,848,092,056,769,714,449,158,
537,901,221,015,959,254,177,235,345,321,039,299,468,921,822,556,660,247,095,
896,061,536,832,510,340,146,923,766,989,298,956,940,353,938,590,066,926,006,
959,874,049,582,224,045,167,438,028,332,412,945,368,227,740,290,638,426,218,
606,281,521,710,031,459,279,614,073,276,770,004,231,267,959,108,193,469,805,
273,282,648,318,993,043,799,348,406,538,886,768,613,027,543,864,354,897,806,
885,582,802,954,831,229,152,731,806,087,973,991,851,475,866,048,306,150,452,
716,362,295,694,380,497,980,510,736,999,026,323,999,479,847,610,085,815,937,
854,943,171,254,840,653,710,739,312,057,987,381,456,794,087,555,461,915,779,
994,222,845,144,133,304,171,272,051,848,733,254,399,915,315,345,592,498,438,
499,946,897,538,712,700,541,709,158,014,864,234,542,624,893,314,742,995,566,
166,930,239,837,692,482,915,527,878,735,481,963,682,580,159,781,415,002,443,
403,742,602,920,548,653,869,705,250,287,244,286,722,540,467,930,148,900,844,
992,216,900,590,807,367,996,961,257,245,493,097,478,570,786,547,017,397,734,
358,230,035,225,936,619,046,168,716,328,485,855,411,538,186,580,201,293,883,
692,926,810,937,977,035,568,959,289,048,506,757,462,445,477,341,832,063,565,
899,721,808,688,442,056,426,223,653,999,100,934,145,337,241,043,036,284,164,
607,052,550,397,343,105,595,542,808,814,861,881,697,589,764,780,717,586,781,
199,433,937,219,000,618,785,071,217,392,642,682,238,247,749,514,994,094,359,
592,069,849,255,693,954,407,060,986,224,821,480,751,385,953,844,404,959,356,
522,167,235,144,560,107,755,988,727,373,260,973,643,084,547,986,181,327,242,
119,288,300,566,223,531,191,800,841,005,277,178,246,957,105,679,416,345,984,
666,443,515,920,212,802,325,465,816,601,623,259,889,188,597,405,518,655,544,
253,796,807,491,139,524,642,580,028,426,840,123,679,544,147,199,956,517,571,
119,275,307,866,927,450,689,315,552,905,615,467,253,333,555,533,679,088,404,
716,511,700,346,276,661,042,803,653,259,899,660,562,175,718,500,096,661,545,
958,688,607,734,871,060,723,563,573,819,615,607,892,196,872,345,014,787,475,
650,681,461,417,594,574,294,387,776,690,713,691,882,517,498,807,977,381,460,
323,445,788,843,155,226,057,270,978,042,402,523,237,481,736,395,816,147,372,
613,822,716,663,533,575,826,588,870,187,641,008,538,697,720,379,099,880,450,
992,950,893,718,777,889,077,214,462,624,240,220,647,826,856,316,297,920,084,
122,923,814,668,902,132,950,887,519,422,636,045,221,018,407,502,478,788,032,
610,611,180,621,298,511,107,539,370,082,246,619,374,426,612,511,910,516,734,
401,176,203,273,217,836,310,426,532,448,362,026,100,743,680,948,854,356,769,
643,048,602,918,168,352,876,373,459,676,675,046,504,247,519,539,286,615,326,
547,574,818,915,505,600,641,141,135,356,902,488,055,811,824,646,385,458,915,
712,505,701,681,047,321,230,302,456,116,812,276,283,084,595,696,868,248,994,
938,766,733,338,688,383,234,715,972,115,953,283,372,273,256,992,482,667,102,
239,063,847,121,656,019,953,046,130,028,445,594,288,994,622,041,465,444,503,
421,450,820,273,106,534,180,466,781,289,099,180,265,132,374,954,775,121,625,
717,227,580,750,079,083,821,785,443,012,779,797,239,556,050,350,618,769,085,
087,848,233,767,050,700,286,962,416,879,500,426,648,488,124,658,207,909,077,
442,203,765,785,227,557,161,732,848,529,944,178,235,902,864,653,098,539,625,
892,121,765,859,894,024,463,127,574,344,414,537,573,144,577,010,385,769,794,
670,939,330,935,758,494,063,623,719,605,756,395,093,682,577,689,399,093,811,
390,913,574,088,137,481,038,109,679,114,530,974,568,082,726,157,226,627,098,
098,311,512,787,186,903,427,577,833,261,726,302,329,195,829,809,912,495,479,
831,971,625,711,712,545,568,237,815,808,899,113,980,394,314,355,984,722,612,
150,461,781,068,143,244,828,024,189,798,429,853,986,401,859,459,188,896,119,
036,917,073,913,124,438,276,669,193,445,330,428,424,596,593,909,893,622,587,
260,047,643,947,059,473,257,609,900,315,409,865,771,080,482,083,753,102,530,
132,766,336,836,970,315,891,824,458,822,427,060,013,220,084,074,510,883,019,
061,552,543,565,535,555,642,707,587,060,834,724,191,595,682,155,586,548,909,
017,296,425,740,260,929,937,058,644,928,684,853,944,955,980,205,796,477,322,
899,231,900,651,718,998,461,060,758,551,009,919,222,915,028,504,088,106,997,
341,658,120,724,034,848,282,078,760,985,307,877,020,347,786,995,555,729,801,
770,655,853,756,420,215,257,091,464,316,387,994,520,647,937,240,998,266,721,
485,985,359,737,470,750,133,735,964,232,570,537,113,620,483,395,643,757,037,
730,057,089,404,844,869,964,821,865,270,854,551,302,680,596,533,159,123,502,
368,582,303,693,035,697,410,076,070,514,081,949,627,327,083,273,272,581,339,
409,391,739,733,130,870,632,946,469,332,953,373,209,652,417,728,757,693,829,
524,580,852,527,670,022,590,084,360,312,661,434,690,792,885,347,550,712,043,
440,986,441,229,653,700,752,939,127,657,676,245,049,696,189,728,171,758,409,
943,690,244,113,776,961,389,844,989,816,061,765,761,710,033,771,752,479,743,
462,487,822,505,134,611,668,828,383,340,286,554,502,945,650,972,785,877,468,
034,531,139,558,568,224,022,393,864,057,340,249,165,784,078,604,648,345,632,
353,322,693,274,095,220,532,705,661,048,208,838,060,907,348,894,724,706,337,
476,070,410,613,780,377,708,209,975,187,630,281,574,269,630,868,867,473,431,
082,460,959,426,121,059,679,828,234,076,950,331,800,762,996,880,830,385,309,
647,947,122,843,220,993,602,845,048,562,831,989,284,371,053,098,569,736,727,
127,842,325,436,241,184,090,654,974,323,033,973,450,246,994,044,124,884,855,
977,993,463,428,063,887,473,145,284,417,904,908,513,435,495,773,827,778,027,
157,888,751,757,130,689,877,667,355,635,882,021,412,560,334,188,385,358,693,
399,954,586,808,146,025,176,528,419,986,988,880,908,790,423,009,268,305,102,
706,704,106,499,368,900,237,043,947,474,783,665,417,034,648,179,169,953,668,
926,844,496,372,974,004,004,038,441,684,400,878,173,607,782,907,492,325,174,
132,346,229,275,642,217,904,777,902,561,724,272,642,501,152,908,244,084,117,
332,494,157,630,297,118,937,093,317,115,025,029,532,840,642,345,038,898,484,
494,547,423,605,660,100,085,351,826,605,900,180,324,807,147,938,344,284,211,
807,194,291,120,267,562,854,013,085,653,423,008,450,492,073,502,840,764,297,
439,339,325,137,827,603,250,418,707,092,387,176,474,634,050,063,185,283,927,
835,078,444,668,680,599,704,960,268,517,249,299,284,664,487,446,462,249,129,
431,345,570,787,529,305,359,035,775,018,328,115,803,666,935,766,051,024,488,
177,644,044,909,502,086,092,434,730,233,479,496,341,298,076,327,597,368,818,
323,223,929,241,797,885,575,382,799,469,721,525,906,144,383,403,624,913,719,
635,360,599,617,765,411,202,301,848,945,307,474,229,179,108,293,715,287,347,
781,750,085,450,938,330,907,912,393,905,797,973,018,976,102,701,201,020,863,
387,585,062,853,532,817,424,058,573,786,333,173,627,606,300,631,642,676,680,
268,310,857,892,452,751,282,457,707,404,100,198,799,355,579,586,399,065,366,
269,669,045,777,056,880,606,604,908,098,655,033,794,355,555,746,681,468,464,
009,643,972,693,869,825,489,574,568,909,099,752,403,583,020,308,805,255,759,
721,911,603,101,969,668,539,138,987,439,815,832,260,447,221,183,430,022,453,
459,778,644,597,199,036,325,280,759,383,183,488,179,459,092,685,246,338,224,
340,888,395,182,796,653,959,168,360,810,881,731,958,687,044,434,821,427,151,
020,342,210,441,785,174,598,263,880,721,423,007,665,239,950,762,494,825,610,
279,518,984,603,714,927,921,097,651,898,937,886,909,739,780,707,635,283,329,
865,004,410,284,360,364,705,539,607,188,890,583,695,203,255,989,029,249,007,
443,825,486,190,851,534,238,796,080,926,595,677,535,008,416,121,277,358,566,
918,663,222,329,431,536,034,221,387,711,769,649,284,386,583,626,362,870,656,
993,830,644,005,490,552,441,267,295,423,006,678,652,802,283,576,009,487,025,
988,858,359,972,207,296,247,693,796,709,799,288,922,836,359,965,739,847,541,
529,170,323,324,319,398,030,507,785,174,087,899,144,094,187,501,409,538,731,
019,162,424,440,763,981,207,628,128,302,721,140,666,193,912,751,879,157,189,
186,122,337,896,267,125,437,178,975,224,138,051,536,342,772,230,467,870,742,
057,120,996,191,373,059,322,613,394,532,618,604,787,819,502,307,369,573,606,
448,304,342,642,434,040,765,347,091,512,580,917,663,645,995,912,410,783,330,
584,501,533,280,083,545,983,827,947,859,309,751,779,915,989,437,957,564,473,
241,443,065,883,168,401,767,561,614,069,931,730,640,245,844,009,058,386,086,
771,535,216,266,403,586,903,860,574,242,545,378,346,031,327,442,116,375,957,
775,983,295,535,405,728,770,001,941,667,553,801,468,280,631,783,342,185,997,
536,565,383,811,791,061,328,158,825,303,754,163,308,846,867,138,555,157,357,
565,107,824,440,179,055,885,738,034,702,899,105,580,627,862,124,883,188,537,
705,675,580,444,440,996,120,919,976,505,118,384,458,911,401,027,591,839,289,
626,257,078,982,026,236,748,603,349,240,549,733,169,466,800,238,482,057,841,
204,273,624,791,996,349,641,995,323,634,847,172,485,153,902,400,341,048,543,
806,130,115,705,844,506,978,341,100,782,536,937,580,252,725,933,931,373,971,
523,172,364,225,049,879,272,673,073,385,254,567,087,445,255,678,415,691,429,
073,488,703,615,889,324,978,395,071,461,123,350,609,427,192,036,203,841,732,
266,041,580,314,664,850,647,869,607,823,392,554,622,872,105,651,946,221,235,
548,677,543,173,849,811,241,129,322,009,582,916,475,275,049,956,685,557,617,
483,476,666,093,443,177,435,262,458,762,072,389,578,235,173,874,788,748,677,
671,384,305,463,873,163,544,786,666,176,664,630,178,403,451,772,845,755,463,
970,360,010,493,624,964,543,767,004,300,787,362,515,027,104,523,866,363,735,
767,918,475,459,971,121,966,050,168,688,952,500,159,644,446,702,542,627,849,
354,326,559,044,865,262,280,888,846,168,717,600,820,893,788,658,402,379,001,
513,988,982,940,283,743,529,195,944,566,519,137,844,353,269,701,347,882,866,
085,949,622,979,729,906,670,480,466,258,682,496,485,950,925,845,790,840,174,
328,456,974,290,409,326,385,690,983,377,438,969,222,766,726,367,562,747,986,
461,960,728,883,783,432,839,035,787,211,421,018,120,701,102,112,768,856,567,
525,250,497,041,323,839,100,378,821,712,142,754,557,085,157,725,722,896,761,
004,213,598,762,006,883,198,387,427,282,891,164,109,407,738,451,068,695,528,
776,213,791,922,013,551,010,194,040,307,463,718,936,145,196,373,397,012,602,
054,268,386,132,029,441,143,100,933,976,383,734,565,782,274,653,207,628,134,
566,373,218,068,090,236,170,949,874,639,108,416,000,975,986,794,082,334,673,
664,416,970,528,463,355,789,632,008,054,921,995,532,791,920,281,676,975,131,
858,397,608,703,058,023,139,481,960,562,984,240,374,678,213,185,033,705,101,
903,032,588,788,852,872,128,966,384,078,116,084,218,555,138,456,012,138,736,
283,003,207,983,713,271,509,889,240,947,595,789,635,105,559,815,604,977,379,
015,569,045,941,927,113,425,441,236,269,369,161,052,190,129,678,532,659,483,
965,327,205,702,518,181,742,733,938,040,448,886,170,750,226,061,165,094,416,
987,442,036,491,788,781,020,498,391,860,391,009,097,045,737,613,722,220,802,
589,102,688,841,572,155,313,453,829,634,807,333,723,836,482,025,416,365,429,
018,777,388,116,428,983,290,274,200,890,856,927,185,039,854,885,681,855,537,
292,008,823,898,548,271,579,611,487,532,104,086,686,034,268,698,459,978,965,
822,680,722,859,297,672,130,341,279,448,651,836,541,957,511,782,524,417,237,
757,682,638,876,730,605,846,547,421,853,907,620,612,874,609,064,683,441,068,
743,134,057,520,338,717,409,211,668,400,637,778,628,112,075,378,835,833,145,
760,320,475,165,938,174,150,061,785,881,448,940,271,216,082,016,606,661,925,
105,399,922,787,581,414,111,557,752,387,115,165,491,162,361,787,957,156,706,
737,511,514,567,047,522,100,377,095,100,204,769,936,735,639,145,349,271,843,
999,714,053,604,966,433,817,375,965,606,121,440,008,189,138,972,003,256,892,
186,560,035,024,069,565,193,397,453,456,877,044,780,599,555,846,309,617,999,
972,085,924,365,955,509,647,573,830,893,806,150,834,809,158,168,892,015,220,
165,213,869,668,750,647,871,927,857,673,106,475,808,418,958,821,679,384,117,
193,825,901,549,632,370,614,573,380,268,020,541,428,004,307,164,519,644,525,
413,193,805,792,710,953,846,518,515,488,841,189,014,115,895,579,080,964,519,
461,046,960,053,002,858,003,927,399,230,904,489,061,842,518,954,967,033,608,
874,290,927,180,191,140,562,210,590,835,187,289,771,742,965,004,357,195,904,
585,109,652,814,172,425,974,918,934,044,680,456,224,312,995,656,353,160,988,
507,025,998,422,189,870,347,861,860,617,548,950,712,860,092,201,178,400,645,
048,079,990,900,103,864,666,384,787,280,309,843,358,650,682,768,176,369,626,
297,677,061,419,057,934,999,158,006,931,256,436,095,456,680,558,466,307,268,
174,969,255,068,792,024,935,189,460,663,460,467,568,738,186,801,945,373,928,
759,335,921,752,683,110,020,804,039,691,680,507,702,091,204,510,031,439,220,
839,732,937,552,642,227,094,530,781,533,787,579,860,169,990,264,590,009,889,
336,895,627,640,492,616,457,582,256,095,839,507,938,678,313,986,400,964,022,
677,366,972,992,263,409,874,578,024,017,897,624,678,301,016,302,918,714,395,
205,233,866,634,447,690,417,155,953,874,769,445,267,248,294,487,494,023,386,
516,045,662,314,204,665,795,797,314,514,271,410,882,007,519,540,900,224,755,
825,249,481,474,902,702,062,784,234,093,248,215,985,607,858,258,650,763,001,
164,063,993,280,520,452,157,942,369,278,367,655,759,205,259,442,440,648,779,
966,892,692,518,555,636,914,332,103,624,652,725,860,359,287,609,341,444,045,
628,383,106,844,704,609,735,781,754,413,283,656,769,638,010,511,545,239,684,
812,842,478,307,240,585,364,794,696,231,519,467,720,939,986,458,604,405,553,
724,069,702,653,494,560,859,580,731,660,961,334,678,779,271,236,774,671,149,
638,804,513,026,885,365,632,594,095,964,478,833,809,699,054,709,056,534,111,
322,161,540,095,403,493,419,720,636,207,202,330,666,083,317,194,649,101,638,
300,402,927,654,424,327,572,506,017,570,298,228,729,989,284,259,067,579,820,
675,519,500,663,667,881,874,490,948,632,174,555,365,102,694,297,683,448,463,
026,336,453,216,739,238,535,880,256,546,117,949,611,516,215,895,210,286,915,
271,508,595,103,282,959,318,418,283,188,340,044,544,044,769,960,040,383,015,
889,718,632,513,921,448,074,665,384,097,104,699,546,906,600,968,524,274,166,
308,706,261,210,602,297,277,885,975,131,721,586,537,421,084,478,532,927,100,
370,231,449,595,714,046,033,977,844,050,092,032,501,404,027,184,537,690,317,
597,755,580,084,425,224,382,867,210,560,603,842,636,572,247,218,344,403,478,
220,939,266,739,717,117,326,949,135,493,516,291,383,497,369,881,452,849,289,
535,147,371,757,491,959,468,677,400,003,013,268,781,119,088,500,610,139,453,
454,071,863,601,954,589,788,623,316,578,412,947,782,226,606,740,559,034,869,
920,021,236,955,750,381,329,445,649,051,689,945,985,328,276,418,135,065,669,
796,278,713,639,932,626,891,512,024,500,895,633,738,866,574,981,403,683,284,
067,523,105,998,027,132,584,786,394,107,201,121,682,767,390,263,089,566,816,
984,314,294,112,603,589,898,775,313,989,368,656,842,058,709,289,773,148,442,
125,836,367,986,073,487,137,585,637,693,181,878,219,978,088,011,979,243,573,
181,775,861,881,764,792,730,067,156,221,593,148,778,731,961,500,803,455,278,
720,724,925,413,323,385,319,104,311,813,929,676,934,504,103,359,738,052,609,
451,205,429,741,311,603,784,207,779,967,236,997,175,906,127,756,283,154,149,
798,435,752,825,633,089,200,977,221,345,678,810,364,963,277,102,981,431,575,
514,062,050,642,820,185,458,607,956,366,760,811,067,089,639,772,064,686,753,
494,993,824,309,955,865,336,717,041,226,472,845,651,479,371,661,627,413,590,
854,455,140,445,803,632,141,677,538,620,768,889,973,242,315,256,936,046,414,
430,066,424,903,034,661,000,368,855,402,700,483,157,641,876,990,348,299,951,
491,735,222,059,369,596,789,460,070,450,564,270,717,846,996,733,020,176,091,
465,390,268,031,575,914,765,759,040,289,901,017,783,516,892,899,754,800,469,
748,380,685,071,006,738,962,183,052,013,657,657,762,681,356,197,178,358,329,
586,402,230,453,058,398,156,824,010,697,420,895,286,225,068,546,735,708,751,
984,492,862,838,418,601,423,490,937,560,087,658,672,507,890,292,871,568,505,
227,787,366,670,979,719,626,847,074,902,979,081,618,871,816,984,175,141,865,
362,854,970,091,411,035,780,788,830,902,685,641,964,251,337,814,273,144,790,
225,303,658,661,583,070,520,958,421,022,233,667,341,909,669,617,809,082,684,
856,461,562,007,848,138,860,975,959,474,377,542,628,343,589,396,766,593,181,
340,080,743,781,510,453,884,277,493,686,091,827,509,298,172,899,502,736,809,
483,270,162,154,070,624,292,788,756,619,789,455,259,141,451,805,257,484,149,
146,051,463,468,553,566,676,347,199,560,143,526,697,367,684,355,862,530,506,
664,610,153,774,562,289,019,533,284,960,160,438,880,673,936,034,320,139,516,
681,850,021,840,206,606,600,650,455,170,270,372,744,723,363,261,587,120,094,
359,868,941,367,437,262,734,260,170,794,026,519,807,021,131,572,476,916,190,
057,266,882,351,542,822,967,664,979,537,599,720,238,444,092,419,638,602,751,
590,490,190,072,397,826,090,764,527,997,266,528,509,859,933,787,308,213,508,
140,259,954,340,396,642,425,755,637,942,891,116,358,097,083,797,269,330,196,
367,048,816,619,838,239,773,376,877,344,692,421,843,989,120,180,081,331,972,
908,683,917,593,723,225,443,566,595,613,049,385,510,977,368,888,408,523,266,
165,075,815,266,530,962,869,534,876,569,311,839,763,887,827,404,630,104,113,
021,667,620,567,694,155,804,487,042,264,606,440,331,250,868,150,531,160,732,
790,952,785,955,618,380,766,688,410,831,249,796,714,935,155,796,109,027,987,
757,366,441,895,510,924,663,965,433,496,512,423,628,510,017,662,933,199,603,
642,372,214,103,009,083,840,527,300,993,764,400,960,658,413,701,445,450,933,
674,154,959,278,351,710,957,707,783,567,440,499,569,535,049,222,645,321,015,
599,827,373,453,396,775,183,922,449,156,962,928,444,689,093,056,788,055,898,
064,657,838,349,086,890,472,483,987,589,297,573,575,261,497,629,449,313,876,
918,405,559,132,716,400,340,964,310,478,250,056,453,506,881,328,329,457,492,
771,737,668,800,982,502,972,283,835,265,072,487,386,445,163,892,174,708,286,
504,440,229,350,967,026,986,630,579,293,362,084,385,996,300,252,171,552,382,
724,868,701,863,900,364,800,428,840,969,159,972,893,948,776,771,417,300,175,
314,412,386,495,949,529,503,784,006,179,059,637,031,809,452,219,539,355,248,
024,698,071,508,942,467,774,556,845,175,164,685,610,382,856,746,240,759,366,
169,977,696,796,573,113,192,079,570,811,600,274,109,304,955,470,041,583,842,
077,451,296,460,360,082,242,718,481,950,172,268,527,124,940,272,502,114,005,
151,805,374,611,590,089,605,762,461,669,630,873,973,620,361,164,676,841,538,
671,928,933,084,263,714,605,387,189,323,557,112,049,893,832,413,240,876,354,
004,574,640,903,407,769,979,976,879,606,542,929,185,210,523,637,564,259,869,
381,608,377,957,412,900,258,450,120,419,795,412,123,976,847,501,482,522,213,
771,881,165,823,781,495,025,326,968,610,108,004,909,531,727,161,321,409,182,
267,389,084,858,802,518,305,827,362,506,791,698,001,336,251,958,594,608,948,
828,355,182,351,738,346,591,819,125,214,179,409,566,569,216,387,134,341,924,
722,020,231,916,461,443,600,032,364,092,100,383,490,464,104,220,625,164,394,
694,187,933,473,057,139,715,752,758,224,127,345,406,860,548,471,968,852,039,
067,876,794,822,969,625,515,962,702,841,693,911,224,959,451,290,349,893,389,
751,593,724,847,387,519,185,417,761,680,255,910,164,587,791,574,374,801,514,
821,601,614,185,883,048,776,846,627,987,906,625,433,109,367,594,641,235,376,
258,739,629,380,104,659,162,423,515,513,265,695,435,365,572,901,262,141,297,
418,295,614,735,443,894,281,923,787,320,065,700,742,126,829,328,655,949,476,
738,860,066,479,870,603,460,340,203,505,982,832,927,844,692,110,357,075,938,
480,763,839,005,304,312,766,034,564,734,828,993,471,189,976,597,579,945,633,
596,343,481,751,631,837,997,600,944,941,872,000,996,000,163,724,683,143,049,
312,359,300,998,442,175,755,741,534,483,414,678,308,601,780,213,508,917,654,
725,794,830,331,141,718,877,528,618,833,077,913,800,708,186,640,045,946,021,
617,726,973,601,092,520,054,427,045,748,078,330,575,859,210,719,844,341,124,
789,785,380,220,164,454,975,051,393,382,225,689,604,630,337,780,562,099,953,
835,185,252,984,170,304,099,454,705,596,264,739,834,176,668,909,265,276,207,
135,556,019,241,822,413,487,383,399,940,041,083,638,704,162,367,212,620,585,
176,529,921,261,206,150,049,373,848,019,652,205,165,770,051,565,160,264,848,
255,120,852,052,821,019,807,591,071,340,102,199,549,804,349,502,145,500,694,
831,724,423,334,997,809,278,869,286,497,310,522,255,721,107,037,343,436,442,
713,565,856,500,581,778,518,207,989,071,756,527,999,968,738,317,363,315,424,
494,673,455,874,816,604,841,476,745,046,535,588,662,905,591,967,500,642,597,
590,571,993,642,046,086,500,532,366,197,600,071,702,792,646,943,083,687,870,
189,552,722,823,183,632,421,986,911,975,637,037,881,030,665,446,844,148,730,
124,331,784,060,436,894,707,268,529,704,842,905,014,301,300,014,954,104,150,
686,168,752,906,614,482,709,228,846,022,590,604,496,867,748,218,980,462,551,
832,548,385,476,818,540,617,995,465,561,649,945,882,380,763,077,456,971,255,
425,625,267,511,572,882,114,262,516,112,838,026,056,210,762,637,687,763,591,
585,621,595,815,708,060,866,284,180,945,513,030,227,423,980,152,346,265,467,
227,292,260,798,581,034,299,784,367,727,763,967,276,328,543,964,354,042,741,
273,958,709,248,054,921,593,860,431,078,332,393,802,177,973,627,721,208,586,
817,567,504,746,846,682,461,813,832,133,710,473,146,970,362,854,616,298,641,
145,755,014,186,358,385,608,970,980,573,238,086,983,548,685,358,766,579,229,
187,304,658,152,993,660,624,974,000,528,245,988,838,924,454,400,395,605,687,
792,433,431,318,999,413,330,448,829,131,423,451,011,594,631,628,038,406,400,
917,946,743,059,204,850,158,375,130,076,778,735,600,980,118,574,117,442,138,
679,255,514,756,307,032,901,749,895,247,688,711,848,733,722,217,136,122,338,
259,182,602,362,574,439,061,259,131,611,691,657,405,633,673,708,922,264,164,
654,099,118,961,411,301,451,178,745,469,729,815,178,352,111,035,983,988,225,
146,827,695,397,933,650,554,869,343,380,237,505,100,002,207,451,932,472,996,
500,418,616,648,646,401,189,291,201,879,091,513,174,603,441,392,885,565,604,
186,407,056,848,316,315,956,917,387,287,834,575,329,820,984,751,346,022,766,
739,952,490,994,305,369,470,983,733,924,992,604,900,518,337,109,628,364,725,
476,274,890,393,902,446,660,373,505,487,713,479,405,528,971,870,712,865,530,
172,963,419,903,295,097,146,734,755,011,268,397,293,426,606,626,460,476,943,
124,387,409,019,720,404,116,191,661,716,087,566,496,039,050,785,215,333,736,
764,394,455,793,665,858,010,560,040,946,352,487,666,716,975,164,323,900,388,
728,407,214,198,066,975,501,520,923,280,826,731,368,709,729,694,653,433,026,
833,091,818,427,451,680,480,108,145,322,398,176,144,327,434,705,060,917,429,
713,214,631,812,136,700,396,405,830,122,835,105,594,386,924,138,348,963,385,
346,728,331,756,145,554,543,703,122,630,192,067,258,532,513,686,626,506,325,
055,207,171,749,809,520,444,512,715,710,057,611,154,332,960,616,341,235,846,
632,562,742,603,059,539,848,181,506,210,404,285,727,504,212,733,974,718,074,
539,985,738,044,114,510,325,830,559,473,187,175,960,686,464,960,231,889,124,
287,243,655,068,516,220,592,170,718,903,634,764,659,529,849,406,261,527,579,
649,599,158,927,845,741,464,270,190,394,403,235,580,145,273,527,657,162,700,
023,737,317,272,443,630,804,339,557,771,548,660,447,585,510,490,675,056,892,
999,995,169,114,046,736,761,893,255,513,637,824,656,281,036,937,324,998,159,
854,318,710,284,989,762,143,517,481,017,480,164,215,277,997,339,305,525,999,
193,689,073,132,601,372,770,751,336,412,704,805,601,558,819,062,064,693,890,
501,508,557,021,215,421,755,373,069,673,520,732,410,890,144,301,339,033,160,
173,733,158,627,457,235,878,372,453,037,735,025,101,766,403,937,736,426,273,
776,310,512,373,653,778,256,733,423,739,929,164,477,562,727,022,579,175,291,
704,445,378,967,458,880,974,190,605,136,061,145,582,867,821,565,522,360,361,
465,346,152,062,817,612,259,195,174,958,045,742,967,935,621,369,054,615,915,
220,081,978,386,395,467,759,492,507,588,275,284,916,764,108,915,791,595,337,
338,227,920,788,533,523,135,025,616,268,951,337,252,577,019,225,088,463,852,
186,333,929,849,373,600,803,035,692,875,920,410,755,470,227,883,906,205,594,
205,257,183,290,923,940,563,393,543,170,295,952,080,060,147,865,442,421,682,
823,553,199,255,824,670,959,528,545,937,344,487,200,326,930,604,246,480,457,
055,106,083,824,954,330,290,748,686,960,563,793,495,620,127,660,093,297,965,
009,673,356,362,532,159,572,015,927,492,075,401,866,336,135,787,334,293,100,
115,629,247,113,826,856,968,960,786,650,886,999,960,763,280,173,725,661,218,
890,064,650,384,132,395,488,822,962,019,872,448,467,067,664,505,814,954,033,
679,151,273,356,705,363,852,993,270,876,722,793,445,453,372,436,694,957,345,
228,843,164,103,438,563,763,023,066,696,039,958,878,299,701,639,006,031,630,
944,223,466,379,235,258,110,651,082,376,455,495,867,410,616,207,725,623,650,
967,467,372,710,637,067,259,641,263,975,764,975,548,115,213,012,936,535,190,
459,036,644,964,749,096,480,571,644,375,127,195,187,825,034,546,397,402,641,
372,471,875,133,985,562,374,555,274,755,465,769,889,279,387,586,252,274,528,
564,398,701,539,134,028,324,540,397,686,201,492,100,948,546,689,715,704,505,
359,900,694,011,228,245,070,146,821,366,572,089,444,968,081,717,984,633,737,
119,806,880,471,954,777,752,255,522,010,463,910,727,764,208,169,580,257,310,
278,957,300,329,117,737,663,808,252,612,307,452,560,256,515,432,668,003,035,
196,167,564,972,452,432,458,540,321,269,836,199,498,621,955,710,955,518,959,
665,993,958,092,744,436,322,621,583,694,415,037,215,890,047,108,115,099,174,
344,468,458,115,727,025,348,806,931,776,390,376,062,694,889,262,193,407,839,
597,870,691,286,428,961,173,527,043,323,533,500,704,312,126,767,122,385,674,
965,731,519,474,532,131,704,428,232,479,264,233,564,918,583,096,798,210,409,
820,692,940,562,458,864,130,629,956,109,352,846,302,600,028,946,753,880,997,
446,915,887,414,699,045,514,467,505,762,859,781,498,042,106,763,575,327,325,
498,904,667,302,431,318,807,514,737,975,835,344,946,339,098,820,463,638,857,
051,389,882,275,776,494,176,285,067,767,634,387,944,159,555,541,734,600,874,
362,855,798,312,873,245,289,344,375,344,942,121,048,256,760,839,526,154,886,
788,763,017,010,233,625,822,996,164,893,494,344,881,294,665,043,315,659,300,
943,010,642,973,130,980,736,047,540,230,805,028,401,394,016,733,180,658,152,
038,464,674,535,768,478,241,668,625,478,806,514,901,850,948,258,014,540,363,
848,621,443,109,180,937,193,888,984,349,652,924,577,483,683,089,293,604,704,
934,897,653,847,254,213,095,892,066,110,313,864,429,815,796,679,202,551,453,
192,243,949,394,279,056,061,632,763,617,798,084,776,716,350,081,030,596,240,
490,229,395,919,363,218,286,677,903,230,355,226,571,422,808,731,949,816,427,
292,165,382,115,795,283,695,578,293,644,173,376,374,968,463,638,342,459,999,
202,487,674,045,093,780,493,717,960,839,958,354,733,307,083,969,716,717,105,
779,073,743,447,352,604,477,833,067,907,542,813,533,902,925,611,700,362,697,
173,673,481,481,174,369,933,402,729,670,835,306,798,595,695,392,268,027,629,
621,167,299,759,686,648,205,304,886,300,012,157,370,809,864,737,575,955,592,
296,883,307,545,106,229,429,400,539,790,441,341,023,726,585,999,969,027,900,
368,085,954,573,258,233,735,750,753,465,016,857,184,855,275,576,188,619,079,
466,532,483,515,492,383,289,393,617,437,461,849,305,713,326,345,197,347,454,
772,767,710,512,042,461,332,846,758,541,663,175,022,772,736,376,669,750,316,
066,381,624,401,183,982,294,850,833,839,428,420,504,167,871,895,121,181,716,
041,246,812,764,816,565,435,060,230,443,390,950,751,709,986,839,122,991,113,
194,442,926,122,416,997,180,136,791,138,412,926,965,271,777,180,410,048,240,
905,077,289,605,416,764,708,883,432,170,495,017,916,797,037,279,008,267,957,
584,577,108,995,780,033,100,650,604,074,373,036,844,753,449,429,453,559,670,
036,314,079,087,224,632,724,976,695,933,019,809,600,457,796,519,311,876,191,
168,707,257,140,450,232,992,156,897,732,747,729,737,515,352,046,182,959,456,
418,079,936,960,714,709,844,269,398,947,547,299,596,443,135,059,141,635,395,
922,475,772,357,944,118,972,455,333,104,121,804,181,519,252,288,464,014,062,
493,631,160,495,082,566,613,268,774,579,343,530,278,061,912,423,451,432,014,
334,948,811,915,732,442,961,011,013,548,415,097,560,030,731,384,814,330,243,
454,223,182,945,710,024,406,780,094,015,552,802,745,369,711,491,621,201,640,
044,266,310,553,793,083,787,098,273,388,224,844,497,413,090,807,778,968,978,
011,002,760,463,255,358,417,917,420,860,383,469,079,026,617,271,504,476,375,
529,114,099,585,263,639,227,553,608,964,314,869,328,442,213,349,954,692,064,
519,907,083,224,389,876,533,499,452,469,366,606,124,190,179,471,642,345,549,
679,043,135,294,898,195,854,815,394,672,880,048,596,137,316,172,202,786,662,
802,847,378,767,345,244,872,424,389,985,689,095,317,408,739,003,733,552,125,
777,641,839,584,915,778,208,313,393,985,301,900,713,280,286,603,684,743,154,
447,027,723,517,543,329,087,851,238,441,226,962,046,451,894,643,599,869,874,
973,718,501,626,089,964,847,962,877,889,847,699,072,333,616,449,014,958,621,
869,181,290,212,275,790,900,658,477,901,559,296,065,479,910,501,850,582,376,
876,686,984,221,972,761,642,446,839,479,956,886,212,650,818,837,110,666,119,
414,419,402,282,466,652,806,410,402,821,102,616,471,559,485,229,007,145,460,
116,134,717,921,207,886,014,801,173,244,280,368,650,763,847,393,831,452,905,
234,939,730,915,922,136,793,908,251,439,988,481,833,520,786,825,787,931,809,
690,570,671,120,366,499,343,600,774,922,236,719,450,211,780,520,144,009,043,
074,216,803,224,310,714,791,737,446,590,787,856,534,684,101,767,807,142,249,
157,428,710,051,191,462,146,924,109,557,230,295,955,606,921,801,574,977,465,
931,585,062,784,698,097,071,948,573,107,052,547,868,977,916,239,364,836,141,
057,869,103,871,203,409,643,641,480,099,354,545,105,659,500,981,652,419,317,
195,023,141,558,905,719,686,349,146,715,373,616,692,986,459,298,702,481,044,
174,477,647,108,198,095,778,999,254,212,582,950,336,947,947,962,218,021,127,
920,974,398,193,724,732,889,762,875,224,032,222,528,742,224,660,276,592,473,
165,079,338,315,271,077,836,219,839,044,743,011,590,979,549,940,097,035,784,
082,665,271,736,878,583,006,186,635,417,316,698,398,390,603,092,128,801,073,
157,070,531,187,442,376,329,632,814,858,967,238,024,396,858,996,915,634,721,
700,136,421,174,450,510,524,041,130,523,955,140,486,939,230,970,218,911,275,
961,110,822,067,027,722,058,318,312,730,132,590,809,239,717,813,334,752,641,
932,787,690,976,900,088,020,203,462,810,685,062,994,863,332,008,712,500,957,
127,292,538,131,317,710,569,332,569,342,267,044,603,858,445,923,410,071,396,
502,609,053,341,439,225,096,701,060,540,866,705,526,734,056,346,663,626,318,
373,673,321,219,743,261,391,789,475,405,726,746,813,616,899,318,081,759,957,
024,922,222,505,399,875,880,728,225,085,246,410,225,661,915,731,599,082,014,
572,108,616,572,121,254,773,791,250,892,773,821,570,511,503,781,423,933,288,
297,913,143,037,198,590,859,221,014,634,370,923,920,329,597,663,465,676,203,
838,671,178,821,773,184,628,938,826,032,211,676,146,333,429,938,675,277,890,
560,600,941,479,770,995,134,494,118,275,285,819,986,902,341,961,114,086,955,
391,278,255,581,192,418,620,347,392,708,255,763,971,413,148,460,454,084,124,
601,887,662,841,060,482,517,417,402,731,385,652,502,890,372,865,329,614,884,
139,616,871,107,257,152,875,394,112,634,859,456,299,991,727,280,976,728,522,
148,155,569,786,146,132,306,847,416,618,676,188,425,866,220,254,505,903,968,
585,616,269,301,830,292,557,500,235,084,661,565,791,508,459,593,899,610,320,
044,431,388,052,201,317,267,750,664,166,095,340,455,919,866,369,481,095,727,
966,128,759,559,945,741,793,078,127,197,542,723,461,658,585,400,221,070,365,
121,565,566,689,370,971,855,754,099,900,034,174,748,276,975,453,535,983,236,
881,953,862,296,760,483,504,596,217,005,922,410,537,798,181,886,633,839,015,
305,223,967,616,940,893,892,062,147,654,412,886,066,045,027,321,284,614,187,
425,639,699,758,634,332,119,048,842,956,141,155,826,908,049,058,311,320,458,
217,164,656,247,431,666,379,200,947,891,542,067,526,372,898,822,228,759,620,
204,271,868,431,389,574,046,773,830,531,750,888,318,217,444,164,434,796,321,
369,422,908,561,002,531,575,918,418,576,949,579,940,693,825,751,272,246,174,
274,126,485,603,638,855,154,200,079,180,270,072,399,425,439,944,670,756,826,
552,475,048,590,479,200,557,364,182,992,491,617,605,571,785,581,334,271,091,
205,008,454,878,137,174,733,770,158,517,911,227,845,429,417,486,126,655,693,
903,465,642,328,892,417,969,436,767,592,016,009,781,431,762,306,541,762,386,
989,452,070,634,053,535,305,522,610,969,654,149,809,786,545,488,980,991,707,
347,226,258,142,445,718,096,208,048,060,047,450,291,477,374,057,658,965,742,
598,996,454,460,355,025,127,945,811,610,111,637,819,848,632,360,426,209,193,
144,305,651,300,913,491,764,513,667,958,655,735,319,148,689,099,189,931,179,
892,686,262,203,431,172,914,572,520,763,946,124,010,504,195,592,103,823,728,
099,589,180,847,862,924,161,344,158,751,756,600,546,996,950,176,650,889,860,
848,265,138,328,253,875,999,359,011,789,967,877,704,010,182,677,153,365,995,
106,896,124,558,418,003,384,247,733,057,685,125,964,176,545,441,429,668,483,
402,115,331,059,757,793,890,139,307,511,519,558,409,413,856,049,373,661,619,
819,604,287,521,711,692,211,413,980,831,898,377,068,405,012,505,119,750,453,
252,728,974,980,703,107,890,930,423,433,225,663,396,464,890,462,340,037,074,
098,228,503,420,064,491,160,221,840,464,132,117,223,249,823,179,770,640,493,
297,851,186,606,276,270,656,551,654,942,761,164,813,753,567,036,200,093,679,
787,711,751,160,296,892,604,977,033,306,804,853,250,816,336,161,085,186,747,
072,448,563,965,612,281,206,014,574,935,765,845,526,753,080,878,801,817,116,
572,194,309,077,549,050,660,834,111,341,339,428,611,527,852,937,805,086,197,
738,304,586,237,811,718,096,271,215,840,392,494,176,831,440,087,495,343,688,
861,877,514,985,442,504,661,954,390,052,951,638,168,839,306,415,738,606,389,
699,412,314,846,925,049,538,564,638,918,189,805,565,374,789,652,242,581,706,
266,163,705,751,539,344,471,054,485,024,324,437,230,028,096,969,234,247,008,
074,525,838,887,370,324,344,065,226,849,428,910,727,310,095,026,960,314,374,
758,047,306,901,980,756,625,150,895,058,566,588,649,530,001,513,606,356,457,
478,579,275,086,753,302,809,644,073,425,758,193,422,139,972,555,382,253,854,
746,480,139,926,082,820,120,837,961,586,862,192,443,179,632,174,215,428,852,
404,856,840,340,161,653,656,634,108,217,123,098,377,613,023,002,647,506,459,
370,909,869,503,714,719,466,779,503,216,112,425,874,227,161,319,166,830,419,
413,673,070,671,836,876,736,847,744,396,328,758,916,303,377,882,413,025,368,
414,328,504,723,069,533,105,066,105,483,391,590,611,984,557,142,793,373,060,
169,323,078,373,537,644,294,097,588,572,091,185,446,940,125,385,774,697,316,
626,246,631,423,267,068,564,899,467,438,869,939,493,546,016,238,194,755,704,
614,004,904,158,546,997,694,533,476,343,356,880,748,082,835,865,393,410,511,
600,006,615,501,312,006,043,363,777,303,186,815,193,771,098,966,266,490,750,
958,025,396,988,129,347,413,012,612,324,078,292,285,719,053,502,679,390,847,
981,760,310,626,513,502,680,693,273,202,659,559,565,591,881,097,008,758,163,
271,835,469,718,977,178,751,457,275,553,753,496,799,198,397,306,027,686,199,
028,266,548,696,571,531,698,918,285,247,993,795,141,666,102,944,689,839,024,
799,131,233,058,024,638,646,943,296,800,668,131,540,419,824,260,138,989,510,
291,012,460,384,433,185,030,565,172,124,697,848,617,927,804,048,819,528,188,
426,565,692,604,147,486,103,195,810,851,619,997,434,583,558,760,877,898,475,
090,731,911,766,428,397,636,656,026,946,898,595,424,803,888,747,752,847,165,
501,509,992,846,598,746,184,011,083,109,695,516,996,269,923,468,694,082,175,
441,459,626,602,880,760,178,324,214,677,943,164,846,103,627,152,733,362,290,
071,373,407,678,122,256,971,813,146,342,917,657,414,323,616,804,482,233,285,
849,722,838,684,881,573,786,152,804,791,220,429,043,528,313,403,235,457,286,
168,253,644,298,881,732,887,308,712,261,412,756,351,218,840,574,457,901,686,
224,058,338,615,402,860,802,745,099,739,199,053,647,676,451,281,127,265,011,
925,820,409,879,147,401,248,593,994,051,908,183,659,833,856,367,802,178,033,
978,447,426,524,490,887,615,676,810,170,108,706,400,324,846,237,709,374,084,
186,240,823,886,161,315,175,243,988,866,419,834,335,659,915,025,601,114,276,
309,110,168,910,187,080,753,854,606,931,916,080,545,143,851,237,047,184,649,
395,087,110,299,392,380,033,381,098,675,576,444,386,647,076,084,445,420,212,
443,374,841,304,888,927,754,506,785,227,817,827,918,966,724,326,135,579,685,
489,660,917,636,243,972,852,320,890,154,903,267,514,697,575,059,055,754,781,
801,686,835,104,868,087,898,408,127,763,195,652,501,719,678,492,982,514,403,
397,849,332,411,957,535,861,138,852,096,440,449,771,168,957,138,969,596,499,
171,933,910,789,482,408,726,062,948,547,101,503,378,101,588,795,703,913,369,
086,253,924,910,248,316,050,073,002,308,617,656,637,341,557,919,423,144,768,
030,142,369,904,544,877,756,761,194,248,808,893,627,584,779,578,885,476,893,
103,213,829,254,373,410,245,524,199,573,226,858,089,305,654,583,127,667,551,
694,514,444,279,531,769,481,130,850,532,190,520,216,936,866,788,293,171,384,
663,793,401,234,876,425,015,865,955,225,023,357,215,734,413,515,898,844,980,
083,746,642,126,492,476,851,917,936,684,399,991,282,564,814,067,473,588,290,
525,570,754,060,627,555,879,036,628,254,591,463,941,300,225,356,021,245,983,
322,365,542,590,809,725,405,580,428,092,764,432,060,008,766,182,610,872,093,
740,979,395,377,265,796,481,249,450,821,586,839,603,094,154,866,041,153,876,
082,711,944,735,282,809,103,640,522,224,644,490,439,196,413,186,261,855,821,
358,992,636,927,984,060,852,128,571,907,575,077,157,441,355,381,760,670,175,
132,362,400,322,324,254,238,590,241,238,768,911,303,120,930,628,629,606,017,
471,292,118,066,362,735,774,868,598,332,608,441,027,725,976,223,808,019,297,
659,187,531,951,252,822,289,731,664,866,121,929,828,584,998,406,745,741,531,
430,362,045,604,896,378,623,325,204,592,885,908,825,019,977,356,065,242,718,
824,549,170,001,665,259,415,797,580,483,641,018,821,142,541,008,869,343,323,
744,978,260,013,455,700,696,748,630,119,246,843,272,972,170,134,696,047,845,
230,704,289,349,035,062,856,523,337,499,588,228,041,588,974,294,068,684,867,
747,865,793,519,236,548,569,984,999,087,214,250,481,596,646,752,441,757,599,
558,539,426,474,249,261,590,785,263,625,790,487,079,889,168,815,512,808,990,
025,459,259,619,531,723,630,403,472,607,496,901,981,521,596,225,589,407,349,
730,633,441,249,851,254,322,457,094,754,684,256,677,488,937,904,900,912,966,
730,107,660,349,348,970,564,677,020,833,199,148,456,593,398,789,363,319,353,
896,264,966,064,418,718,408,245,777,584,694,479,533,923,390,131,937,168,672,
983,627,427,755,512,195,163,319,015,353,068,320,830,818,510,590,739,473,534,
331,499,318,472,776,856,262,451,630,363,666,772,929,607,097,956,236,434,480,
291,301,454,016,050,978,324,776,018,425,047,409,739,768,603,993,197,517,893,
405,711,565,370,811,241,308,985,223,868,637,222,670,639,520,304,364,296,725,
733,187,228,855,107,076,460,485,839,319,030,771,671,412,737,007,810,045,311,
137,349,204,670,120,052,960,289,335,574,939,133,821,346,170,955,988,247,684,
644,307,703,415,977,460,020,156,154,162,104,582,357,241,436,880,045,854,189,
119,994,149,209,084,050,674,359,461,983,796,482,877,780,734,343,272,749,108,
131,208,144,860,833,934,324,084,594,363,946,139,070,451,281,617,889,710,958,
682,085,929,853,792,597,441,741,926,224,295,610,755,924,023,798,948,978,768,
900,402,650,435,297,664,044,016,387,877,221,338,096,736,805,306,756,873,624,
867,541,504,881,182,103,516,092,377,591,426,818,194,680,685,419,498,067,004,
425,503,900,691,417,341,676,078,009,437,099,493,755,956,656,674,484,332,134,
120,483,072,044,035,708,375,682,081,063,507,295,134,183,672,893,850,866,658,
523,402,154,866,002,881,279,000,539,945,379,672,996,651,253,552,277,194,218,
860,955,221,843,068,262,614,321,614,551,987,898,784,167,186,089,800,500,070,
593,470,272,159,312,136,598,783,724,920,855,075,027,842,982,709,044,864,547,
761,581,847,185,685,911,228,322,966,631,878,294,907,016,858,220,835,677,331,
115,395,577,901,311,482,758,385,244,461,637,423,618,422,875,748,863,487,695,
041,184,963,774,277,804,679,435,367,433,417,780,064,866,078,436,382,651,288,
494,655,667,588,369,007,666,768,104,462,580,057,175,301,530,738,849,952,161,
635,701,590,500,221,728,534,060,200,782,013,897,291,441,115,615,043,800,643,
275,520,679,475,881,604,278,937,618,630,863,023,178,413,523,389,224,686,007,
615,112,226,115,771,561,121,623,176,167,652,753,766,393,476,003,282,198,480,
774,351,227,704,953,904,830,673,716,999,877,494,321,834,063,303,998,447,065,
659,683,263,922,596,603,244,200,034,162,235,903,802,485,959,207,241,899,759,
759,168,794,221,141,842,638,469,584,421,101,242,609,160,681,846,415,459,297,
225,919,064,642,331,697,045,529,987,030,539,842,571,869,915,809,293,201,248,
199,516,010,231,191,365,163,016,912,380,839,954,049,448,435,335,343,705,552,
132,704,139,404,836,432,812,976,249,830,539,865,036,789,968,324,569,230,762,
279,171,432,409,792,334,496,498,775,842,494,526,797,745,345,731,740,590,150,
284,687,896,280,262,872,731,916,782,704,634,660,242,773,855,261,530,950,238,
679,040,007,465,611,868,688,667,823,366,270,273,365,197,243,450,497,110,200,
949,812,567,550,946,594,072,065,613,058,961,553,912,104,364,475,693,803,580,
974,739,829,959,115,470,952,670,080,287,552,042,477,834,900,734,588,469,108,
208,467,100,933,995,746,338,579,445,604,225,735,900,567,114,112,412,103,457,
317,697,929,511,533,760,828,011,341,720,029,791,380,875,091,746,239,550,921,
273,551,706,379,299,039,673,105,102,265,645,671,428,640,273,850,730,965,051,
596,348,197,864,816,699,554,319,025,021,300,588,561,361,466,208,118,059,919,
864,669,868,046,817,333,997,315,211,564,181,312,510,484,780,830,183,405,795,
898,819,172,428,495,168,507,344,976,388,845,117,127,386,251,434,608,326,739,
156,712,274,612,710,731,996,900,767,736,618,162,235,890,812,289,629,527,825,
015,419,413,261,776,693,246,891,544,540,927,329,346,678,925,013,225,016,546,
492,785,101,755,893,482,998,700,428,951,890,848,065,924,913,537,284,963,432,
302,927,238,107,928,754,268,501,399,764,265,122,355,442,952,754,588,886,743,
119,214,504,314,030,078,612,266,629,030,711,567,696,212,621,666,632,508,759,
878,258,674,902,459,261,790,284,711,612,730,284,429,596,875,434,307,585,064,
270,340,839,857,831,843,071,653,441,666,258,910,661,399,010,662,797,087,512,
811,802,393,460,507,037,690,787,093,001,891,763,978,385,552,260,158,247,103,
844,036,854,638,806,786,922,792,850,230,877,170,316,288,299,078,898,709,829,
767,609,315,962,175,963,383,183,801,639,846,425,928,121,292,209,036,848,573,
806,465,297,809,554,308,626,530,648,526,957,411,635,157,932,564,460,622,945,
880,608,618,801,144,768,646,792,584,019,887,509,599,759,197,084,657,057,539,
144,296,393,802,670,753,123,528,001,640,656,915,758,085,937,487,629,049,647,
605,906,501,336,134,045,921,134,330,293,401,633,408,319,599,617,829,108,361,
770,037,551,864,098,149,102,092,276,391,914,405,636,578,923,447,820,695,021,
562,561,639,194,136,450,838,079,260,895,088,012,108,188,346,248,916,127,528,
554,005,144,818,963,429,436,296,978,552,308,543,181,568,655,769,876,346,037,
859,215,524,309,706,970,982,888,195,082,364,117,934,122,407,452,107,935,054,
101,002,289,191,653,970,631,199,838,585,915,817,073,244,906,843,877,398,264,
332,463,268,236,654,856,102,981,623,996,269,214,596,564,577,856,000,151,679,
859,000,195,578,313,669,166,482,679,297,471,165,108,809,315,335,887,800,735,
495,047,162,916,413,670,213,779,603,518,941,788,760,640,666,679,344,676,092,
061,907,346,862,929,326,526,993,739,042,131,356,505,712,383,829,387,696,833,
101,951,938,822,614,689,983,759,547,354,660,514,200,647,628,181,651,299,584,
312,823,091,532,423,751,018,517,276,408,922,120,166,566,402,564,610,251,435,
803,792,787,980,117,550,076,516,586,029,893,300,588,214,789,037,194,468,151,
698,396,205,646,330,834,048,002,001,232,656,451,945,044,031,407,806,482,626,
356,537,663,295,941,601,592,414,271,449,296,467,741,542,144,903,171,520,846,
164,371,040,911,425,513,140,769,582,735,492,335,671,812,340,927,470,474,897,
033,631,319,502,700,636,199,729,844,747,477,086,046,550,870,983,230,161,772,
768,009,041,522,616,488,549,900,692,256,810,140,402,057,458,440,927,863,705,
297,361,355,548,844,886,734,130,570,474,208,199,635,925,606,301,030,160,014,
644,036,564,206,718,111,732,942,291,494,212,623,831,287,858,950,561,433,643,
382,859,863,563,632,457,530,426,455,725,740,052,967,913,278,895,972,857,645,
374,811,458,567,154,928,553,052,919,217,381,473,666,931,461,761,336,419,280,
180,394,767,779,206,435,736,259,332,917,034,873,737,841,736,181,281,156,061,
321,178,327,284,416,932,314,056,821,784,394,648,426,151,106,122,284,245,427,
168,806,947,642,067,056,275,128,969,507,816,838,014,681,974,136,382,208,462,
989,995,968,568,852,119,047,847,771,271,116,017,035,229,991,537,568,000,139,
782,198,199,531,429,073,858,173,355,656,736,209,339,234,305,304,289,539,023,
066,068,683,901,916,376,762,446,206,289,860,183,545,349,316,111,329,525,212,
989,494,404,240,417,143,320,605,541,453,710,999,580,637,058,841,504,715,429,
652,458,501,123,149,506,639,591,028,436,948,422,543,158,443,986,677,177,731,
832,273,315,272,629,125,009,064,343,805,689,199,864,860,505,603,259,010,442,
926,679,932,302,607,422,969,165,967,299,056,025,122,468,337,496,585,148,242,
717,757,033,866,988,743,377,291,047,846,234,760,977,311,192,889,151,548,898,
681,557,141,590,983,670,873,566,556,753,879,727,127,506,810,542,810,422,897,
135,918,415,696,568,662,229,476,339,952,601,483,354,107,354,976,317,179,581,
698,347,511,738,981,275,648,933,759,926,062,516,846,146,735,164,861,393,498,
616,446,891,804,901,071,980,770,130,011,977,304,639,529,150,128,449,584,122,
540,014,362,770,353,481,691,384,203,390,024,909,957,885,277,956,059,002,897,
546,635,110,797,425,487,764,526,838,781,021,275,628,093,291,591,343,482,694,
425,144,543,268,154,992,499,756,900,888,524,481,935,526,701,563,479,958,644,
264,099,801,001,834,566,640,629,361,169,017,261,597,470,713,682,155,822,873,
715,821,304,296,784,093,100,764,507,036,828,020,610,751,977,666,634,663,913,
653,321,596,527,873,456,768,683,484,258,906,314,395,038,473,544,126,976,196,
897,256,496,343,722,501,273,854,872,768,579,236,676,598,939,914,952,979,343,
995,286,704,152,076,790,972,679,915,542,287,873,318,301,518,903,332,317,180,
558,742,266,277,229,601,176,395,463,360,520,483,302,414,989,224,625,362,119,
524,245,930,299,460,417,838,859,808,352,331,598,245,693,869,329,641,620,955,
627,436,793,533,930,429,590,804,453,545,081,555,378,897,320,875,614,803,092,
350,828,436,339,049,614,341,898,619,937,606,097,348,179,484,490,230,889,157,
360,073,180,623,728,871,758,696,605,039,319,232,626,742,857,177,960,761,027,
846,107,016,314,203,248,047,704,872,483,983,335,102,860,655,699,511,295,628,
161,332,980,345,117,691,033,967,505,207,142,872,235,248,366,782,716,838,478,
588,347,107,462,711,103,453,569,202,474,488,704,883,064,492,148,220,501,066,
555,958,836,900,858,736,833,378,080,390,455,992,060,655,377,922,298,775,560,
185,810,573,712,911,357,837,747,883,978,739,263,007,308,469,150,277,023,756,
663,354,015,743,290,245,434,226,127,667,627,519,516,498,829,048,695,927,496,
957,863,802,568,962,118,462,315,140,280,010,370,001,651,664,145,664,752,850,
113,843,664,396,728,753,694,427,551,652,056,620,672,467,913,289,959,523,068,
913,392,114,208,120,520,601,974,620,668,142,743,814,520,815,337,700,314,349,
715,987,291,978,833,497,675,259,867,595,973,852,525,807,108,571,434,316,979,
284,829,794,302,710,528,445,481,841,341,761,416,644,065,192,676,605,685,518,
780,667,261,471,949,371,871,623,602,280,460,778,460,045,172,802,564,334,034,
192,516,993,722,861,816,538,085,421,059,798,781,934,410,299,145,808,935,860,
134,347,962,549,176,990,926,712,886,426,828,870,416,826,386,390,771,761,372,
623,801,838,055,848,133,583,168,516,463,095,906,903,568,143,121,699,711,454,
346,974,808,952,122,456,654,926,835,011,219,760,412,228,515,845,350,793,988,
270,966,082,980,893,546,447,629,146,842,363,716,037,596,802,071,367,299,569,
413,110,076,697,794,787,775,059,535,002,695,137,380,481,911,710,174,820,459,
130,828,893,127,268,275,453,572,986,746,219,491,866,020,492,392,296,878,822,
161,718,699,896,379,338,310,428,763,304,195,334,682,473,142,890,561,700,375,
809,690,287,332,308,451,302,263,566,635,855,512,665,125,175,655,432,953,952,
519,217,663,157,465,097,240,372,359,229,554,672,006,581,563,188,349,297,617,
104,393,777,216,845,283,945,415,298,881,642,027,615,904,880,054,366,266,234,
119,061,380,678,557,410,875,496,031,881,408,801,266,716,251,978,022,327,278,
910,172,420,763,210,976,643,475,420,988,061,001,904,656,325,632,073,356,234,
936,830,654,662,417,526,139,940,944,650,960,968,276,942,565,429,042,002,337,
547,319,645,947,701,364,306,094,931,762,678,193,571,455,133,944,363,569,867,
568,986,571,382,022,415,288,020,454,477,028,711,411,094,614,476,991,864,836,
191,181,568,181,138,171,777,840,603,174,594,838,489,198,945,864,870,838,490,
073,019,890,317,496,960,369,486,249,153,277,202,123,404,481,361,405,450,668,
854,391,105,673,982,413,061,078,137,869,638,580,642,572,978,693,810,459,860,
410,161,829,431,539,524,603,715,565,109,524,086,122,650,480,416,309,466,156,
629,963,986,833,852,518,950,712,428,868,009,164,419,970,592,967,582,798,688,
728,067,586,772,900,475,393,484,959,570,464,218,892,939,772,249,421,741,607,
297,347,250,555,068,405,607,329,200,151,737,020,658,534,303,840,372,573,805,
578,209,493,565,139,353,324,528,730,155,317,041,983,725,030,879,810,638,278,
172,940,266,505,868,887,992,885,160,672,803,924,363,163,117,822,825,837,713,
407,526,717,055,156,777,912,886,905,884,598,941,703,219,215,757,762,827,238,
864,546,111,624,120,019,912,171,709,734,403,232,775,436,482,893,486,339,292,
383,704,790,514,078,427,162,723,964,909,849,908,311,720,568,386,989,835,857,
989,989,104,825,973,229,805,419,881,863,246,136,024,827,526,819,431,447,191,
739,967,338,132,667,162,336,763,767,008,084,959,821,028,069,405,070,175,938,
688,117,889,520,973,013,578,160,969,860,034,154,662,858,887,543,290,204,491,
522,205,387,008,462,105,281,768,527,143,807,852,111,876,848,966,230,596,278,
988,468,060,193,255,879,787,313,681,420,941,902,763,437,723,027,583,421,366,
762,574,685,167,049,570,906,022,675,184,006,158,773,641,846,487,513,827,438,
442,960,985,347,551,561,732,364,343,678,445,326,367,663,361,474,712,242,158,
657,230,264,712,668,627,654,798,369,106,324,857,115,062,444,301,465,918,566,
567,944,159,414,988,667,503,581,842,155,233,276,973,560,949,227,599,409,688,
351,010,054,949,762,297,498,555,180,150,343,727,280,425,366,794,958,545,105,
832,518,576,663,417,597,742,383,253,638,086,903,029,176,472,747,508,340,664,
841,420,189,988,327,480,788,295,868,581,640,721,011,774,078,782,041,594,873,
267,861,640,813,283,720,334,175,954,959,930,802,394,107,116,572,899,118,352,
490,895,070,777,178,552,926,797,239,844,361,354,847,376,289,811,531,496,944,
968,309,388,742,302,273,320,487,723,397,878,616,765,408,949,708,992,002,437,
610,122,280,294,044,874,049,215,365,994,507,210,004,930,170,225,399,628,119,
401,359,811,116,089,996,142,649,674,243,851,623,076,226,167,074,587,531,626,
268,086,572,992,455,485,237,467,271,712,656,359,830,279,538,619,787,730,689,
135,597,870,329,289,762,239,763,500,375,070,233,438,689,467,487,825,343,334,
516,411,300,511,765,168,429,722,696,204,607,478,650,695,927,405,893,673,117,
653,081,996,091,047,688,222,606,335,763,697,286,260,194,783,098,618,740,686,
980,189,107,077,774,296,256,049,321,231,403,338,154,551,231,566,329,285,176,
420,383,803,557,535,858,046,446,627,778,720,128,552,577,475,846,319,836,174,
184,555,783,029,133,809,178,684,345,008,207,804,789,792,100,396,139,106,327,
347,577,795,513,157,035,326,847,865,549,366,526,942,955,163,028,601,101,976,
243,756,100,072,640,563,405,114,924,901,184,148,596,625,720,660,193,208,232,
589,207,120,934,307,687,867,225,329,070,956,231,323,834,589,274,068,954,940,
144,406,498,070,305,520,016,322,433,208,975,694,541,305,108,640,259,419,575,
753,663,134,541,595,272,390,332,731,024,186,825,475,171,736,550,771,418,313,
201,113,424,587,269,250,327,856,033,409,241,653,161,915,966,055,791,823,689,
559,660,698,124,238,087,312,201,192,599,184,289,119,591,109,240,789,725,061,
630,123,190,878,686,179,052,555,232,467,715,458,554,093,683,293,133,438,746,
585,608,876,222,860,259,063,833,380,340,754,676,023,660,444,215,140,296,802,
998,228,202,186,369,568,646,276,242,363,039,426,326,449,845,169,961,883,102,
595,392,280,160,827,757,084,788,862,898,425,780,298,665,523,895,187,052,624,
062,415,741,826,937,037,827,078,744,984,498,168,590,217,723,469,419,703,865,
207,458,528,967,966,311,897,073,927,615,238,031,492,001,593,276,463,168,135,
228,172,687,450,210,582,478,396,716,996,075,834,879,552,928,594,507,545,305,
072,498,840,973,503,856,654,482,570,528,741,165,795,049,595,809,777,934,819,
742,143,040,215,097,848,616,041,492,578,346,984,719,353,609,274,741,400,601,
455,253,450,115,840,583,351,081,724,943,099,160,880,949,011,941,937,672,564,
085,559,328,135,069,886,009,982,817,468,193,332,441,230,844,805,479,231,532,
495,367,323,171,318,944,924,113,482,946,880,471,874,010,075,095,667,889,024,
665,388,799,534,821,680,770,916,315,564,927,439,170,621,700,039,322,515,151,
951,394,782,913,785,750,698,531,506,332,561,588,084,835,949,400,047,775,191,
486,878,219,945,912,087,693,538,280,778,495,721,483,891,401,010,099,188,028,
320,752,250,252,986,874,386,505,081,649,213,738,870,903,322,881,038,300,480,
727,886,479,831,970,649,969,030,403,448,400,640,260,170,114,583,170,237,950,
544,588,993,318,455,164,680,659,542,601,956,582,494,928,932,462,893,903,044,
345,869,395,961,244,354,826,339,585,447,426,256,364,354,359,821,734,778,639,
718,032,134,894,508,642,762,666,425,507,167,443,976,110,691,288,887,661,502,
072,010,716,209,575,430,090,131,006,633,350,982,382,456,341,411,807,574,249,
177,583,555,504,920,655,386,858,525,364,455,951,332,273,989,239,914,686,502,
525,567,115,875,136,622,435,349,910,835,618,787,144,162,452,998,664,118,103,
043,712,969,934,727,369,756,869,166,609,340,274,757,767,883,902,359,892,493,
804,553,195,223,466,919,953,849,119,619,823,073,378,678,699,969,986,684,578,
209,210,466,992,529,309,436,676,005,202,082,172,979,310,863,837,869,697,732,
937,791,047,034,164,802,016,519,386,534,788,822,214,567,955,542,003,060,711,
399,138,999,072,682,249,807,513,149,264,571,671,814,912,136,501,833,790,367,
895,286,956,437,480,039,728,067,627,087,716,403,569,928,384,618,512,633,386,
725,606,513,724,271,362,809,750,227,088,191,181,881,903,643,402,843,880,565,
929,814,168,976,089,946,452,648,551,366,845,242,594,907,261,606,901,968,954,
509,808,997,245,666,015,671,100,416,522,819,681,085,754,517,776,350,939,412,
674,976,352,900,514,214,745,427,284,717,071,062,800,998,510,797,067,027,418,
953,717,549,364,010,748,731,986,007,096,877,587,447,369,198,239,654,811,361,
666,357,099,445,871,532,528,600,928,236,654,251,743,347,157,530,800,810,978,
786,887,600,243,529,223,847,384,254,818,909,352,872,676,806,578,738,670,636,
256,502,689,687,234,109,886,365,961,631,004,957,189,293,918,979,733,527,946,
577,940,445,539,969,244,076,079,140,551,620,318,736,050,380,700,598,391,459,
347,167,537,868,233,367,985,410,950,523,361,375,735,285,466,768,743,466,533,
609,253,780,824,757,581,549,720,339,147,572,195,260,087,371,133,564,284,525,
446,234,355,573,543,747,077,800,307,775,787,609,077,795,644,103,511,063,150,
981,901,287,234,235,924,331,607,160,711,310,620,062,346,022,157,463,466,788,
627,056,562,418,367,168,248,236,143,204,427,301,117,443,090,477,472,925,465,
246,269,698,003,386,700,410,684,362,137,280,610,121,006,819,015,532,675,299,
534,504,552,238,132,247,811,373,088,851,039,224,117,536,325,623,404,316,877,
330,737,767,990,834,392,153,773,973,031,041,820,548,828,423,330,759,016,963,
825,531,570,968,300,030,786,612,010,472,822,718,707,216,250,857,178,984,810,
036,826,535,398,151,025,019,513,237,048,843,906,582,659,049,605,356,094,072,
735,614,260,282,103,846,749,086,389,204,687,139,497,943,585,463,410,373,914,
997,633,124,988,478,350,343,468,206,735,388,667,947,993,250,862,393,707,699,
195,888,233,355,645,204,380,131,205,475,145,336,988,949,885,145,296,295,918,
588,472,164,568,159,064,015,211,145,430,155,531,941,836,104,657,222,824,858,
565,877,770,496,794,680,905,485,366,343,320,735,304,014,042,247,700,490,132,
364,616,940,385,522,102,597,816,872,721,016,264,031,661,434,921,750,885,170,
242,112,433,910,389,267,891,283,318,319,104,297,009,421,175,823,740,976,867,
538,989,470,153,268,597,289,508,350,951,109,699,875,600,166,912,872,158,771,
228,865,379,349,150,039,789,402,993,319,485,249,886,280,201,514,082,286,600,
583,967,181,791,237,096,902,470,272,020,853,862,986,105,658,883,807,873,593,
179,416,766,230,133,376,898,462,991,626,731,336,592,425,936,915,006,523,896,
072,183,160,285,058,404,049,880,174,499,399,295,167,949,614,466,322,020,390,
994,433,073,513,014,514,282,550,665,415,662,971,076,042,969,183,121,273,598,
229,275,644,745,565,889,524,160,560,246,574,018,033,624,869,920,914,963,994,
315,533,403,996,996,719,822,308,145,276,994,582,607,180,022,794,405,961,232,
452,222,866,815,054,355,319,928,717,709,379,743,549,127,596,923,697,029,864,
479,774,426,351,113,146,326,547,976,095,745,479,852,553,385,807,520,541,692,
938,703,738,120,646,694,908,065,083,384,027,190,792,225,555,150,219,649,392,
173,894,235,143,134,273,274,052,839,668,722,355,973,869,821,042,747,298,765,
784,325,251,018,847,158,907,754,264,065,084,655,255,069,279,170,305,917,292,
802,176,468,854,739,825,903,955,242,476,865,651,028,547,120,338,652,596,952,
237,905,759,707,731,905,738,446,973,339,779,766,645,886,388,809,035,799,651,
163,204,374,437,024,195,873,136,569,867,571,195,858,154,872,011,449,122,492,
910,032,983,100,942,360,358,197,183,291,811,081,218,547,647,043,106,436,402,
781,658,742,232,877,506,897,507,363,151,418,621,034,191,823,816,009,029,556,
069,473,639,071,378,092,843,244,079,824,817,762,370,508,027,795,057,505,494,
180,643,998,542,896,648,492,426,152,932,395,338,895,320,948,292,644,586,251,
682,943,359,298,877,078,035,765,722,931,832,209,101,251,939,262,467,615,857,
307,793,570,532,221,955,244,243,129,624,496,205,451,387,190,654,854,162,514,
072,691,379,440,319,913,734,110,201,945,723,825,073,525,978,153,171,451,607,
359,971,508,657,887,107,282,505,757,178,143,107,561,824,523,736,814,348,533,
566,573,641,099,357,243,683,043,580,585,694,659,593,868,594,255,154,891,229,
503,070,497,016,564,918,271,459,156,486,988,213,382,214,420,085,379,144,606,
714,062,617,384,715,225,563,505,135,410,955,613,948,427,114,005,660,034,661,
915,921,876,759,723,075,854,508,673,550,547,896,394,889,469,137,254,365,161,
588,383,459,289,887,750,437,653,634,970,675,165,578,930,381,444,772,457,439,
325,511,772,835,004,854,987,829,767,798,871,088,376,996,567,863,383,284,463,
996,096,133,818,545,915,301,510,853,880,157,269,163,642,827,623,543,888,213,
873,783,747,897,110,294,626,863,571,033,578,040,109,350,049,532,914,160,180,
638,610,416,331,103,846,545,127,136,570,926,779,344,408,564,910,368,370,416,
029,859,920,528,492,226,925,182,609,502,788,514,922,453,327,135,222,776,613,
683,872,156,487,944,595,109,679,735,282,358,405,789,847,427,360,462,468,434,
995,369,476,625,313,637,022,185,603,684,148,673,900,636,797,634,093,465,731,
249,446,216,407,873,987,785,376,515,806,275,528,753,023,344,471,844,257,198,
144,635,502,543,822,367,636,105,296,589,411,622,489,544,773,587,689,184,698,
740,082,043,051,331,662,624,195,185,716,730,871,063,561,660,571,102,109,112,
518,297,127,444,756,585,131,576,596,846,701,297,033,650,244,976,812,325,851,
106,709,576,352,022,184,783,172,090,377,532,944,257,053,887,128,225,957,960,
026,316,998,540,658,061,966,412,702,845,341,844,593,888,712,195,249,269,681,
807,821,700,364,769,705,339,254,012,303,542,917,376,672,691,118,492,352,317,
993,831,780,265,485,332,055,355,702,141,738,508,836,447,749,344,331,395,171,
924,062,736,997,185,321,586,917,083,943,565,237,636,065,689,672,065,865,254,
240,934,544,065,712,087,193,583,667,554,358,914,400,293,312,762,695,399,462,
812,302,614,371,045,254,933,824,172,937,213,885,022,942,767,606,749,207,573,
095,422,152,850,550,363,154,969,589,396,541,889,661,045,807,992,613,190,868,
941,134,901,786,006,871,135,512,255,868,609,137,969,049,731,759,938,883,698,
391,728,849,988,705,965,034,924,421,093,748,357,156,465,131,516,182,172,337,
659,470,277,310,857,172,603,063,858,195,787,848,722,104,663,293,441,614,059,
232,030,257,393,193,710,514,195,138,804,709,548,692,346,173,656,909,651,319,
929,948,794,424,424,567,125,227,097,997,151,574,111,294,353,343,397,617,625,
816,951,709,421,895,644,315,339,094,117,330,182,938,760,808,759,266,364,382,
355,401,983,927,390,511,780,424,745,241,518,839,458,630,235,695,331,322,113,
910,438,841,505,845,367,778,024,505,987,367,188,016,524,933,366,367,810,159,
214,576,630,114,343,944,892,063,374,965,997,367,852,811,248,220,005,250,371,
091,940,121,979,261,226,148,196,499,464,101,141,868,317,962,095,473,366,771,
596,303,688,262,827,636,118,440,911,329,571,351,671,388,831,420,189,389,606,
635,627,932,635,970,563,447,454,888,660,468,542,687,535,358,173,406,121,057,
797,479,981,060,348,584,880,876,708,192,238,802,460,984,674,013,293,267,718,
814,065,916,556,134,887,510,124,353,742,419,549,462,459,953,752,137,123,433,
021,671,588,165,458,245,364,167,294,371,475,034,796,375,128,421,961,755,957,
661,010,452,897,242,432,928,033,180,915,341,853,678,072,719,895,970,965,116,
462,946,537,969,576,636,393,385,129,517,714,374,934,730,725,219,717,327,266,
819,963,527,481,773,634,921,466,652,215,790,510,444,010,050,459,009,703,030,
851,172,150,004,418,307,170,947,386,676,829,240,827,940,786,168,731,984,585,
126,298,920,514,672,167,518,753,739,128,125,315,640,776,668,333,208,827,145,
278,702,472,838,932,265,390,985,095,297,952,500,156,869,447,665,885,860,162,
909,134,756,020,497,357,333,963,249,957,163,024,258,192,866,457,949,027,581,
638,025,847,333,400,931,709,085,849,157,620,028,101,037,723,019,337,661,445,
535,958,868,345,739,920,982,728,768,163,570,526,824,646,781,304,218,311,176,
946,131,880,247,654,405,393,514,084,765,820,197,958,091,659,290,113,618,643,
634,684,421,450,949,196,250,419,580,929,587,520,214,484,199,889,634,078,718,
968,092,066,212,560,074,563,805,686,574,205,769,003,214,380,087,079,126,773,
532,760,533,493,442,540,705,367,186,810,928,230,758,771,903,795,068,964,101,
742,451,035,489,151,256,378,102,723,106,351,024,037,561,066,013,607,754,114,
513,826,226,818,657,488,603,587,470,921,155,751,705,985,099,849,631,919,024,
773,979,887,623,512,488,210,512,583,076,903,080,852,598,235,315,444,675,195,
791,632,754,791,543,218,722,326,429,608,763,989,393,346,725,438,618,710,729,
781,465,333,770,307,879,558,337,370,283,079,931,185,252,350,393,887,432,592,
686,123,501,632,308,535,798,423,896,225,725,608,670,730,514,982,313,460,524,
563,370,415,581,266,857,264,220,913,436,024,135,094,470,085,686,433,718,972,
739,422,272,581,898,614,432,294,649,372,633,795,300,202,691,417,673,747,664,
629,157,587,889,040,843,828,250,214,635,126,696,152,023,519,560,237,853,171,
167,444,769,176,394,547,429,037,164,264,091,389,376,832,403,749,123,475,871,
587,848,376,595,089,736,566,700,553,596,726,137,970,516,933,589,249,118,989,
435,605,791,459,416,891,748,367,962,277,642,886,231,666,244,411,294,784,334,
559,447,028,444,269,187,337,679,399,763,097,569,171,927,740,980,651,107,895,
591,257,747,209,942,347,634,911,024,249,150,342,543,649,677,657,312,383,533,
462,305,579,780,508,737,870,241,224,155,778,371,994,833,952,831,814,286,569,
727,858,593,192,282,250,173,208,985,029,340,034,650,016,464,853,381,388,846,
470,536,878,839,405,859,697,572,103,650,098,440,914,084,201,243,699,352,835,
475,910,438,615,808,512,072,513,423,968,861,326,928,581,453,254,911,272,520,
858,436,951,402,473,188,709,955,678,021,585,074,093,573,176,089,539,304,215,
382,581,534,216,204,288,056,085,107,631,494,994,486,539,402,094,587,881,618,
948,199,349,500,009,961,907,961,823,534,964,414,701,034,154,148,618,016,401,
847,192,060,028,370,871,220,077,188,792,525,176,878,523,420,599,201,972,593,
068,889,230,460,290,541,429,825,218,514,830,957,919,099,684,591,007,341,525,
798,836,494,235,139,204,218,834,465,415,464,889,210,018,291,422,321,549,958,
140,586,323,423,172,630,759,634,783,577,690,906,444,245,456,101,233,374,544,
553,585,679,170,365,103,583,059,068,775,150,578,002,149,689,814,115,126,533,
613,318,211,418,460,837,850,304,926,540,319,924,246,801,764,684,205,440,965,
096,446,817,368,756,266,763,873,948,004,268,931,990,504,273,257,421,474,182,
435,743,740,368,285,244,446,986,003,719,254,589,884,939,269,063,213,280,467,
473,031,907,447,843,069,183,119,908,898,073,930,631,912,758,719,258,778,277,
768,117,037,118,973,956,639,084,038,675,844,204,106,187,587,308,094,411,640,
694,096,088,857,382,618,555,071,093,071,395,803,173,505,458,543,452,732,802,
908,682,017,538,718,590,651,999,608,534,651,392,969,996,831,368,990,065,785,
890,162,524,087,174,144,548,221,930,158,227,261,436,931,723,874,174,520,191,
236,815,857,729,498,361,836,286,629,476,632,155,797,367,855,837,272,528,412,
737,063,139,478,972,776,536,696,774,881,264,666,438,612,056,022,883,529,694,
209,738,615,211,758,609,360,498,894,137,245,939,779,586,217,200,678,250,019,
500,155,195,996,454,269,876,980,362,478,850,166,856,997,298,130,924,820,579,
591,250,882,535,753,168,441,331,410,803,269,451,539,769,375,970,972,242,994,
093,965,557,263,698,034,798,039,470,933,545,593,400,307,254,370,004,691,215,
191,736,486,188,692,312,787,380,559,158,821,413,602,259,855,455,192,055,760,
585,451,103,825,839,229,998,982,789,606,687,856,612,011,199,007,075,834,517,
520,097,780,833,939,584,047,504,317,496,233,680,411,022,520,603,867,743,978,
105,154,592,867,372,800,427,516,845,033,498,274,884,650,570,718,499,688,523,
040,500,505,933,956,402,392,852,936,700,997,169,033,532,066,437,932,871,546,
214,233,293,313,371,493,537,418,376,333,629,788,767,487,035,196,975,096,957,
085,999,517,903,242,248,284,698,238,980,645,651,591,164,340,154,758,008,467,
273,043,046,510,723,795,283,084,409,644,365,830,073,774,626,654,452,110,051,
139,165,121,746,543,324,467,232,875,347,681,623,769,791,858,950,937,090,481,
884,574,200,313,130,760,209,067,091,248,672,902,187,729,428,977,223,476,189,
836,358,000,759,711,528,628,920,605,379,963,227,292,486,969,392,564,080,161,
366,443,668,869,721,338,507,584,989,949,292,135,116,471,977,910,389,583,681,
768,226,053,784,545,355,377,434,752,266,647,083,833,150,162,698,048,684,063,
998,113,720,799,872,486,656,982,497,749,754,177,881,930,926,316,973,413,305,
908,894,076,713,722,898,657,015,404,017,417,060,214,127,490,348,174,374,515,
270,187,014,828,390,254,472,097,957,068,572,093,893,732,153,122,084,943,351,
159,903,577,050,778,433,866,199,924,497,865,364,639,944,855,607,093,776,341,
023,675,434,789,869,333,664,693,586,511,988,396,067,204,109,107,701,431,338,
325,307,179,015,575,584,779,292,430,383,251,975,615,517,207,554,526,823,848,
507,284,021,832,341,827,627,516,598,299,808,460,441,762,313,559,216,848,993,
067,688,052,627,360,438,030,453,678,193,112,036,228,905,733,880,628,727,091,
870,846,818,055,934,406,878,341,906,329,826,750,642,749,728,602,394,769,395,
919,845,198,671,103,854,809,860,118,335,895,478,864,165,357,819,606,484,719,
445,506,231,524,325,769,571,394,073,606,006,227,706,496,298,366,681,760,377,
181,562,300,219,392,163,433,545,733,221,591,555,720,854,926,561,257,224,388,
563,820,327,234,944,952,174,657,680,158,251,937,617,579,498,965,716,394,206,
519,257,858,842,683,689,247,384,338,988,557,299,062,725,232,817,081,347,793,
349,185,712,962,997,292,140,992,488,394,015,028,473,606,220,634,138,242,216,
052,673,794,654,393,968,424,155,503,225,745,951,617,170,858,035,572,960,877,
381,632,077,991,974,459,050,372,098,483,750,579,258,865,623,455,934,008,903,
956,233,362,144,241,460,862,201,663,976,661,818,050,580,870,643,591,896,457,
373,552,199,510,985,101,972,777,159,402,127,408,339,056,234,919,132,750,696,
991,911,283,020,605,213,184,838,975,884,081,481,298,033,143,385,424,948,623,
369,374,748,679,521,596,050,614,735,411,722,576,873,048,286,832,334,488,062,
063,986,952,113,023,931,418,674,389,991,370,982,462,942,160,071,504,212,348,
071,936,745,025,424,519,146,415,605,084,314,831,580,916,328,815,529,885,937,
226,692,066,713,144,372,003,937,161,389,741,546,861,305,723,216,788,643,070,
494,776,688,482,807,952,983,698,394,006,113,101,485,129,340,230,178,831,276,
954,043,034,333,846,349,166,106,064,784,939,620,981,914,319,752,158,225,338,
008,338,054,754,267,418,719,671,918,517,984,872,117,366,210,999,189,810,386,
796,564,115,466,285,099,341,877,555,906,848,460,503,036,513,875,096,123,869,
929,377,429,482,508,462,947,609,367,884,419,526,030,484,345,971,817,204,024,
997,386,932,434,350,352,362,926,273,531,138,972,153,202,935,738,037,542,426,
052,522,889,364,932,800,172,349,099,592,224,012,123,709,168,502,467,492,169,
314,539,740,453,546,384,354,144,081,505,692,550,344,226,675,941,427,285,804,
332,902,207,195,416,893,979,260,534,717,387,656,985,708,785,627,793,626,195,
317,774,240,173,384,286,734,083,541,134,814,824,491,827,544,144,290,994,595,
559,607,208,508,558,211,615,530,910,272,309,378,653,943,902,275,307,544,817,
558,073,706,286,829,724,415,249,695,855,205,540,302,551,257,731,215,503,730,
821,676,484,079,928,974,421,176,804,715,451,507,737,598,474,484,115,003,939,
257,402,084,079,922,536,165,243,047,013,699,717,825,297,501,848,325,107,407,
140,295,052,947,828,903,922,893,022,689,310,896,300,544,388,460,084,887,292,
710,230,318,372,317,935,316,266,737,006,630,339,910,080,418,607,631,138,172,
308,030,399,427,088,311,714,819,245,344,462,577,387,288,805,907,313,076,489,
153,505,987,171,440,270,854,973,514,958,204,761,625,164,504,422,645,433,423,
188,535,240,909,944,638,366,359,976,267,148,773,253,094,068,439,200,439,139,
072,255,324,636,461,736,273,400,074,790,036,962,550,058,126,784,292,818,893,
940,703,327,717,489,149,324,950,317,839,204,600,090,186,367,939,619,830,185,
082,597,168,083,935,726,415,481,352,888,275,232,928,057,903,557,173,470,674,
603,836,235,902,258,529,099,897,780,121,687,920,891,146,038,657,451,140,876,
608,049,093,778,187,048,380,575,054,155,516,671,387,776,171,195,118,649,174,
383,475,228,752,438,683,570,210,353,470,650,184,688,973,290,467,500,319,562,
677,956,658,446,315,220,027,590,111,989,837,050,651,529,055,154,701,096,931,
680,959,028,256,314,337,388,714,642,553,502,939,868,202,107,487,403,176,592,
762,014,466,498,696,720,927,940,111,120,876,250,217,149,818,381,670,017,391,
934,026,068,245,966,963,918,835,671,453,723,121,357,166,265,197,686,211,520,
912,411,793,531,014,089,448,659,948,587,050,647,741,943,800,069,598,244,348,
055,588,363,634,949,772,115,108,063,393,453,588,735,157,077,798,465,566,133,
625,654,064,641,961,673,115,066,983,583,446,731,496,473,318,227,991,261,957,
363,821,476,592,117,095,823,803,740,917,694,868,801,340,580,481,471,022,331,
508,158,673,339,000,944,221,309,454,236,657,190,045,499,944,320,516,577,526,
289,327,145,288,830,492,997,516,759,426,242,377,899,628,384,121,675,494,618,
260,542,588,597,841,813,472,849,653,142,473,061,036,296,959,234,371,083,332,
599,793,340,448,449,977,708,900,004,718,796,990,070,570,345,025,787,783,826,
722,255,187,509,924,459,764,117,576,843,684,182,308,741,261,289,166,962,109,
032,583,488,195,331,281,007,549,523,464,765,306,084,538,159,956,110,372,244,
596,921,608,525,658,839,395,949,939,143,524,762,093,383,042,676,787,656,727,
931,129,279,187,253,404,957,908,504,457,239,500,762,773,965,252,537,519,610,
960,376,550,150,266,942,178,459,344,587,715,267,852,892,816,222,085,258,838,
269,016,955,790,932,442,931,296,616,478,581,667,513,871,774,382,808,213,289,
051,181,752,497,753,404,658,386,021,734,688,020,969,261,895,858,816,193,779,
068,594,990,860,404,720,267,887,791,567,597,145,134,533,550,523,974,008,883,
750,037,047,582,868,907,559,070,045,469,457,320,687,499,027,183,182,691,569,
271,678,144,324,440,909,264,643,584,059,036,020,002,621,112,697,768,396,370,
373,280,029,028,331,088,367,281,405,901,161,293,871,898,469,584,110,070,307,
672,094,657,242,955,499,505,990,721,373,634,793,954,080,558,383,242,317,705,
351,855,407,926,657,852,566,842,820,943,225,336,204,114,065,247,789,746,181,
746,412,456,350,259,018,530,468,536,591,085,369,932,987,228,180,906,585,295,
881,096,722,778,872,771,512,006,657,495,031,664,533,971,743,025,865,939,490,
135,939,932,354,697,279,284,051,411,132,957,569,944,959,464,170,169,410,705,
010,147,110,703,657,134,314,427,257,621,480,421,009,831,729,482,027,246,761,
232,616,043,594,238,095,687,853,710,670,280,166,622,747,693,936,829,434,711,
081,018,500,639,483,942,272,895,498,348,377,745,881,089,892,092,597,872,276,
848,679,676,948,187,641,594,730,861,414,047,906,270,926,300,390,946,137,676,
334,108,345,875,723,235,151,167,419,244,042,223,495,520,279,503,743,994,638,
019,774,513,295,709,386,983,962,748,530,705,019,144,279,445,881,522,816,078,
252,142,749,985,455,001,640,456,728,070,253,865,862,920,235,052,409,181,214,
596,559,283,944,843,117,207,010,887,579,626,773,293,059,590,013,372,847,454,
077,855,978,740,397,202,739,322,578,689,853,918,317,250,559,862,134,357,560,
719,375,147,342,198,901,640,350,607,806,340,453,264,033,646,989,572,110,443,
781,277,105,790,818,745,314,480,166,635,326,823,234,148,325,362,088,146,384,
993,591,693,788,407,469,142,547,281,284,031,816,003,718,745,428,814,162,451,
014,161,474,791,885,480,741,210,579,020,830,156,602,546,195,729,211,182,440,
892,743,506,725,582,401,194,677,584,317,518,517,933,556,227,214,622,643,984,
825,159,330,592,414,249,439,664,570,543,314,712,823,945,091,419,370,960,188,
330,098,252,458,716,184,235,648,412,666,282,249,095,581,935,643,039,712,959,
931,038,301,590,799,693,532,876,378,416,593,003,813,158,165,451,497,438,415,
556,790,145,651,904,672,521,125,323,031,195,706,414,454,492,028,319,356,885,
608,635,691,804,718,282,901,366,623,127,550,234,284,792,280,755,521,341,111,
178,782,106,483,901,825,267,489,976,736,499,907,312,871,447,150,783,059,813,
957,327,437,030,973,510,241,014,610,439,668,820,359,350,586,264,418,802,489,
950,931,551,355,009,529,060,281,629,781,829,075,993,634,793,858,818,468,312,
329,469,687,593,781,029,417,603,599,384,104,243,846,857,651,948,530,374,510,
426,647,370,728,737,142,084,613,605,459,562,153,149,417,550,318,000,123,234,
475,516,342,498,747,940,118,891,024,266,746,214,127,645,859,083,359,388,021,
400,900,668,281,142,835,517,452,525,983,831,526,122,943,255,870,166,232,324,
873,092,199,514,800,384,041,080,289,404,191,925,479,610,047,186,622,601,886,
969,491,303,812,374,746,518,669,381,229,246,927,497,152,769,590,685,739,920,
491,206,343,860,600,222,435,068,838,901,912,786,268,191,701,963,803,812,663,
880,766,123,625,505,305,509,197,285,149,327,915,493,649,032,753,121,365,388,
228,005,983,430,898,015,074,789,654,832,649,235,974,832,016,743,474,810,064,
003,360,789,743,112,238,740,477,619,256,793,914,906,843,219,440,568,526,523,
976,140,839,701,280,501,966,463,260,489,140,229,545,699,737,695,517,351,216,
021,167,430,756,568,639,341,645,642,567,382,222,518,192,751,851,722,001,052,
673,006,553,477,135,856,691,616,956,561,066,555,423,427,062,513,881,833,598,
284,391,460,403,429,263,396,470,071,680,020,414,378,545,138,617,149,423,683,
984,082,010,449,796,068,561,080,951,400,435,576,777,218,148,146,926,505,405,
794,904,701,474,811,694,508,502,737,393,044,971,013,562,855,115,881,885,214,
639,515,060,708,535,340,877,709,225,497,569,133,448,466,051,726,682,585,249,
929,786,856,070,146,466,835,901,329,842,543,732,280,384,819,214,679,410,997,
780,500,937,116,443,424,434,478,959,115,415,662,533,449,462,070,081,753,921,
036,497,047,076,741,771,446,523,319,846,618,805,073,978,772,512,065,296,622,
582,608,470,762,853,402,910,284,714,500,341,947,344,569,419,128,760,214,926,
520,071,236,181,001,723,463,915,320,928,784,728,495,660,698,048,950,421,185,
795,682,153,394,785,500,654,500,092,715,780,125,829,236,089,663,085,466,702,
551,585,303,059,020,007,388,029,802,091,095,932,780,079,501,973,578,839,418,
306,233,275,137,092,256,864,064,333,564,674,439,996,870,294,979,031,307,107,
579,186,663,621,334,577,360,560,565,907,927,063,286,944,467,246,318,432,711,
064,903,767,199,135,647,913,504,650,282,005,986,377,455,623,730,284,355,875,
400,728,792,419,378,435,404,954,656,496,510,344,674,794,278,605,982,799,411,
950,372,138,266,000,970,394,238,109,368,752,073,778,861,858,491,862,967,040,
560,101,514,837,951,441,722,526,572,984,414,212,692,919,924,618,238,268,162,
048,766,692,274,810,578,904,946,169,972,387,508,868,138,537,543,647,025,476,
830,188,157,874,703,898,640,916,957,072,738,504,686,418,253,573,186,818,348,
360,963,632,048,612,487,555,125,368,929,737,205,368,472,482,391,335,294,233,
659,809,286,531,839,955,272,019,955,674,265,750,621,678,066,745,356,501,091,
387,979,155,380,366,316,083,175,909,459,476,178,306,662,721,959,932,493,541,
675,614,366,342,805,124,569,283,012,368,638,895,299,440,567,109,986,336,887,
451,058,945,690,722,283,079,786,639,267,643,459,404,086,887,668,623,642,028,
772,974,746,598,776,543,783,365,096,754,184,143,501,691,279,591,394,378,078,
151,443,965,345,285,621,127,145,402,347,962,170,571,849,913,208,008,318,311,
471,160,436,988,580,277,202,461,011,270,432,659,489,997,668,662,819,888,414,
121,815,303,922,894,148,382,818,057,607,783,396,567,036,084,813,232,937,987,
930,737,543,794,322,333,369,564,431,694,647,611,400,968,030,607,731,756,948,
458,200,371,230,884,894,106,185,189,370,506,880,981,851,821,685,276,195,983,
700,961,332,718,625,929,197,597,052,457,167,126,470,216,126,046,205,860,739,
624,133,472,070,594,285,243,878,985,147,169,294,415,714,795,885,093,733,603,
195,258,305,680,031,000,949,420,038,676,770,012,980,352,771,993,210,744,182,
839,754,856,290,886,893,877,863,286,615,195,561,371,632,594,772,207,756,480,
661,753,314,351,944,685,426,560,654,124,713,942,679,295,683,123,814,325,397,
714,335,192,623,433,170,241,701,327,513,719,092,685,644,856,936,499,572,967,
152,512,378,884,300,666,961,447,002,537,209,285,252,638,524,132,826,438,123,
438,480,187,602,923,700,169,906,380,634,643,324,076,788,685,574,742,832,271,
557,769,723,176,892,363,736,244,571,718,939,415,796,299,189,020,236,071,677,
235,418,628,941,674,886,167,112,238,165,989,198,555,485,307,503,475,460,931,
216,471,005,032,928,191,499,872,107,142,915,452,048,936,748,274,344,612,668,
885,757,463,781,923,043,923,022,913,203,664,208,676,347,192,328,667,798,427,
611,838,323,663,967,828,747,662,036,990,954,769,044,079,032,688,763,972,814,
240,885,596,387,410,555,015,679,071,835,264,594,271,617,884,622,093,749,512,
672,462,140,990,978,196,951,103,333,747,346,669,040,101,091,135,768,526,990,
064,331,964,280,245,294,187,093,129,212,403,751,514,070,178,446,579,158,164,
845,312,002,248,769,789,237,465,571,432,374,372,791,273,274,813,701,476,477,
141,291,356,821,160,678,960,522,904,997,789,895,696,454,108,310,334,840,301,
350,179,457,991,142,425,224,602,424,509,877,319,034,596,063,436,665,333,934,
581,360,813,885,468,906,783,318,936,083,132,925,292,450,282,680,080,526,780,
237,880,564,279,206,838,887,721,815,896,059,899,515,440,033,805,235,532,870,
278,212,316,847,991,839,684,653,816,702,148,073,050,762,208,504,615,590,214,
421,555,569,982,969,055,191,831,710,544,984,792,550,639,808,353,539,296,621,
771,122,725,163,032,193,930,324,937,019,161,676,459,267,306,393,036,388,458,
249,477,545,003,803,920,881,963,700,363,838,964,459,076,493,058,767,220,227,
458,462,759,764,229,759,551,400,716,970,632,092,825,473,270,557,026,295,234,
515,180,256,147,138,200,779,374,049,488,438,047,483,178,758,306,465,431,080,
404,725,819,325,277,363,329,107,102,573,739,753,518,365,356,067,824,524,246,
961,998,222,955,298,526,052,190,414,357,059,981,283,508,705,529,375,517,647,
703,269,304,663,317,952,948,335,497,922,617,051,030,364,430,694,282,533,865,
541,829,707,206,636,200,481,567,489,586,222,992,537,670,873,181,312,716,136,
129,736,520,724,209,328,345,778,357,330,192,253,842,127,841,181,777,809,324,
654,268,704,854,213,444,300,483,808,796,855,647,398,155,990,300,906,021,601,
326,232,206,873,135,235,182,048,117,778,552,610,023,585,294,134,249,939,015,
157,237,605,525,956,297,283,045,210,956,878,748,564,838,973,410,627,166,910,
764,638,461,628,741,680,219,281,831,906,807,770,962,287,587,626,718,634,850,
376,636,105,263,893,163,514,889,644,083,689,913,901,956,979,430,679,035,522,
803,340,114,548,815,844,656,835,786,634,976,501,509,033,009,432,302,685,014,
740,776,424,565,299,632,029,146,192,288,481,420,955,953,021,071,158,614,047,
750,691,222,179,224,536,509,137,090,154,053,923,704,090,956,738,856,387,419,
382,947,214,903,671,748,661,989,971,232,342,505,241,300,332,033,427,621,789,
992,714,457,501,979,963,804,388,988,790,983,040,360,981,827,435,299,299,020,
917,778,338,436,123,020,268,264,048,873,375,547,435,001,680,849,243,082,947,
108,228,786,319,527,314,099,470,887,224,869,526,088,369,499,410,898,672,133,
870,149,859,812,638,089,668,380,794,848,969,103,611,375,248,384,794,514,599,
154,573,269,490,678,060,355,640,142,867,650,135,972,840,109,728,718,670,542,
340,825,561,510,378,675,046,785,388,567,766,087,038,472,467,940,013,849,363,
327,837,424,613,639,661,781,816,674,981,611,457,540,975,628,888,893,481,369,
067,431,177,313,688,843,392,937,403,942,797,836,500,671,372,161,401,702,964,
538,063,043,845,658,302,157,285,390,543,044,854,374,432,864,093,636,108,237,
792,097,393,681,698,386,898,359,178,123,477,140,672,329,747,227,077,177,675,
428,055,870,874,149,839,484,206,488,777,300,206,757,789,278,594,963,235,182,
827,111,513,525,330,565,872,670,395,909,697,048,234,536,838,753,682,746,675,
253,262,534,247,466,750,391,659,269,638,222,824,039,349,162,994,530,476,801,
790,838,792,168,577,451,075,146,956,421,983,503,911,439,454,053,531,053,788,
013,926,768,806,350,781,809,330,733,849,386,470,860,596,460,891,224,343,827,
565,250,325,472,772,815,867,017,792,881,466,393,207,445,262,575,938,778,336,
437,164,021,590,955,913,115,454,581,713,203,333,221,153,099,522,982,242,226,
746,584,723,814,638,344,697,348,944,942,380,567,307,426,979,418,933,106,822,
469,836,222,546,918,379,904,466,546,890,385,591,074,229,915,157,758,956,348,
095,479,258,069,804,158,487,022,751,783,692,109,574,616,970,076,025,922,639,
511,164,564,209,484,261,403,479,633,974,694,676,876,214,835,550,369,886,765,
080,141,533,511,612,707,464,774,212,667,233,063,727,978,917,837,830,052,849,
306,369,447,544,474,249,055,529,105,121,149,502,856,184,894,607,597,527,950,
926,557,694,270,206,621,749,672,253,864,598,862,392,147,302,997,275,959,287,
008,552,071,034,528,399,219,987,519,285,200,088,113,602,524,371,079,584,069,
209,007,988,721,494,311,719,237,452,836,487,032,617,387,697,961,846,017,591,
545,179,054,695,371,243,933,689,730,718,554,899,170,890,485,118,150,206,114,
670,018,532,922,796,637,253,496,293,129,568,556,020,671,624,287,268,488,627,
332,067,223,345,082,673,482,751,857,867,274,771,880,956,608,348,196,865,417,
394,151,079,732,350,558,623,038,079,221,248,436,633,284,904,368,898,703,472,
895,220,371,943,585,358,394,121,515,549,129,122,438,475,376,495,339,870,396,
919,136,801,211,791,878,199,867,749,034,595,248,041,894,383,322,523,226,491,
869,988,618,787,735,563,236,400,999,416,384,578,398,497,292,632,524,427,083,
125,111,116,709,832,252,484,012,673,920,351,242,415,443,073,341,862,487,745,
549,036,320,923,939,063,815,381,802,534,207,460,321,090,453,767,002,337,067,
472,322,911,396,286,665,991,238,971,147,258,143,730,750,193,917,221,008,099,
128,112,944,884,198,476,291,800,229,702,737,532,726,581,045,077,003,321,429,
647,150,877,695,910,716,904,561,316,448,807,280,652,347,909,657,537,893,774,
763,170,897,264,198,291,412,262,189,242,440,303,718,971,288,159,818,029,234,
082,992,616,465,616,988,139,558,375,301,995,846,246,269,345,418,028,879,330,
239,148,405,660,754,070,850,322,766,737,388,393,637,016,015,727,875,548,050,
700,043,058,558,984,302,566,995,358,887,257,836,519,705,036,207,212,417,255,
964,433,237,455,581,252,862,279,024,586,859,940,926,059,539,998,058,945,387,
127,943,756,913,240,047,987,730,608,773,759,638,377,333,322,828,859,516,083,
599,938,593,469,891,272,820,513,035,000,087,005,233,923,333,193,233,872,997,
613,268,669,964,830,049,274,800,541,379,990,011,037,131,585,312,256,698,635,
436,847,354,899,182,315,445,514,768,152,492,629,799,201,090,146,784,891,774,
614,632,169,461,768,148,837,639,609,680,599,719,577,484,555,140,230,629,989,
595,127,662,711,367,693,423,571,958,538,470,653,225,745,623,849,307,254,911,
589,575,045,983,559,750,110,022,361,769,802,923,183,512,745,325,267,936,673,
617,249,242,519,683,119,588,710,573,466,798,244,010,060,686,701,228,631,144,
621,861,832,116,509,290,872,951,116,551,714,967,814,792,588,300,613,501,046,
228,703,136,126,056,084,319,532,967,734,442,123,555,286,553,845,964,327,319,
334,352,672,563,154,120,909,349,508,899,796,738,037,966,301,540,180,745,022,
649,111,421,110,749,670,596,821,019,033,538,854,007,847,857,734,873,599,928,
637,319,959,339,619,288,207,772,579,855,579,824,876,852,740,813,647,258,307,
852,585,443,759,031,401,910,050,179,977,105,393,811,951,808,987,395,811,540,
998,927,304,441,287,092,507,822,823,165,281,271,861,067,910,184,737,572,347,
821,362,821,346,205,500,948,509,142,223,366,428,786,216,134,757,026,165,712,
141,537,733,356,841,469,765,987,131,956,948,315,707,453,828,152,760,242,493,
924,789,186,637,371,245,200,259,368,848,974,565,976,400,037,115,369,878,490,
536,614,821,412,827,009,916,266,722,426,907,679,008,515,118,088,297,432,074,
290,857,576,717,539,807,166,205,015,411,096,563,615,767,285,268,646,911,521,
022,034,861,274,486,046,691,048,354,548,112,319,992,528,825,165,834,501,206,
082,822,791,196,275,870,497,407,100,851,578,247,317,684,774,761,255,630,244,
667,029,690,511,353,738,982,063,503,392,480,374,848,392,609,693,006,640,959,
896,477,267,590,120,344,978,168,329,995,863,940,800,444,271,925,050,665,120,
575,986,043,459,111,274,685,496,077,963,494,532,705,327,587,970,726,930,905,
970,193,443,030,523,068,695,981,005,392,782,028,099,933,195,835,860,080,323,
095,187,340,372,420,213,833,034,859,194,237,320,544,920,474,698,611,341,571,
642,872,872,010,753,057,484,810,680,376,468,457,364,824,859,429,767,543,506,
305,593,399,151,652,357,880,419,000,802,595,544,780,782,830,846,905,995,031,
348,348,464,960,646,200,659,657,046,609,644,482,361,612,376,156,879,641,909,
957,902,654,533,928,676,245,926,727,934,925,020,658,904,112,505,087,857,837,
691,669,570,182,113,832,342,614,343,081,064,051,930,485,595,443,056,042,327,
563,384,195,005,434,207,810,694,671,912,799,984,396,166,313,882,913,544,465,
371,472,862,353,901,769,194,263,889,412,718,075,014,270,588,125,893,120,917,
092,268,656,024,174,704,137,127,451,581,581,890,445,419,559,953,080,791,577,
356,042,155,937,899,214,046,440,366,440,167,139,159,214,192,342,099,252,742,
501,686,491,079,311,370,178,695,932,365,488,442,926,889,039,388,520,293,828,
168,505,203,761,792,164,422,250,947,817,073,067,138,220,701,885,827,601,513,
725,989,801,171,669,765,183,776,644,831,910,993,285,923,608,073,293,806,941,
648,881,992,956,465,883,797,404,864,704,286,488,959,885,907,327,068,826,822,
368,506,984,038,905,882,979,317,759,363,986,755,157,837,124,607,056,608,205,
370,807,560,527,371,074,858,714,417,621,343,330,209,709,416,389,453,683,428,
749,000,799,320,210,237,624,669,010,856,006,512,840,234,130,889,004,772,090,
068,505,254,191,169,322,842,810,747,803,895,490,530,473,564,483,488,765,004,
888,995,871,288,015,944,350,634,155,318,915,554,827,076,040,699,156,734,348,
804,666,516,056,129,372,096,417,393,438,430,286,207,599,446,021,024,812,048,
106,273,607,560,124,413,898,898,344,234,110,957,635,217,239,701,327,321,666,
722,526,590,178,510,098,591,740,264,814,918,906,093,274,147,217,562,300,155,
362,607,719,620,283,397,343,306,950,586,186,464,932,287,492,425,831,628,882,
961,704,675,808,744,881,318,692,798,587,548,278,208,925,063,381,881,347,611,
878,546,521,333,899,342,706,425,987,370,667,783,149,406,340,380,571,350,761,
763,237,386,444,936,992,701,654,832,661,883,178,902,284,496,677,132,219,556,
854,573,481,891,213,446,613,911,289,423,488,627,158,577,556,972,398,346,331,
900,932,250,358,782,898,051,107,663,954,696,967,670,853,061,346,140,078,414,
634,026,285,704,389,659,820,388,906,123,237,262,439,035,931,912,590,722,857,
305,151,883,260,978,754,960,928,291,048,990,440,789,483,865,391,639,086,812,
809,294,615,853,838,832,545,175,356,803,834,658,737,619,279,564,060,505,443,
013,866,247,239,580,439,892,630,177,148,017,348,765,858,226,916,162,421,948,
861,144,663,026,503,903,228,835,442,325,642,246,715,689,349,141,331,951,257,
779,175,231,826,081,282,059,009,850,064,827,823,035,219,566,463,111,726,090,
294,342,752,826,786,274,718,382,424,170,513,150,053,139,066,570,926,618,093,
960,914,087,223,640,451,335,510,353,860,608,135,084,966,580,105,363,496,657,
815,248,727,966,679,911,305,835,324,942,884,876,619,674,618,140,691,446,543,
938,423,164,183,758,244,247,461,541,744,360,143,353,241,841,334,724,373,436,
644,955,202,850,030,897,412,471,977,242,392,103,117,135,520,944,266,349,696,
567,303,544,613,139,960,978,045,102,404,047,606,024,409,390,672,804,441,742,
541,309,648,993,139,062,034,958,064,234,415,101,548,555,052,882,255,397,666,
652,636,123,950,612,384,962,444,183,739,459,669,021,981,493,206,726,018,767,
911,456,123,424,362,897,335,288,249,250,309,303,177,711,219,521,834,332,641,
135,828,119,626,119,703,996,306,454,809,098,012,398,327,012,357,090,500,913,
219,017,371,469,844,770,824,901,238,108,419,940,270,047,511,868,827,837,640,
662,366,690,091,067,302,020,037,602,754,606,955,237,075,929,850,943,951,213,
584,864,847,521,227,165,409,417,662,128,712,782,607,566,008,054,115,786,919,
538,246,949,446,585,874,788,860,431,800,171,751,615,055,613,331,635,742,497,
120,891,905,288,478,074,442,901,368,627,913,555,899,251,970,943,193,933,058,
497,158,034,692,545,072,581,661,178,263,564,808,510,403,735,227,135,990,942,
529,686,257,868,132,828,462,707,592,081,822,791,287,148,033,831,489,844,960,
117,243,959,964,474,516,405,148,715,651,519,084,018,778,070,353,068,467,872,
532,008,751,999,665,255,714,245,128,211,782,417,908,431,180,712,236,645,308,
965,525,067,370,608,435,195,998,308,565,583,359,449,444,480,074,942,806,711,
879,475,282,601,058,585,066,977,031,842,334,379,118,611,724,023,758,856,768,
809,902,694,672,401,641,020,347,236,298,269,605,350,832,103,006,795,111,021,
576,349,185,353,917,408,986,758,350,953,820,938,398,200,969,478,237,415,753,
501,278,063,326,399,545,569,479,963,013,106,891,106,305,693,773,097,326,217,
271,440,350,415,566,470,152,924,779,330,268,213,043,217,962,621,672,770,268,
562,774,594,811,434,134,360,086,984,982,929,772,116,045,370,902,958,623,935,
213,093,946,232,328,862,946,785,774,961,691,684,128,740,613,427,166,814,084,
721,336,749,477,598,792,190,277,847,069,746,799,759,264,879,926,573,664,921,
710,961,852,813,958,073,706,040,461,268,904,301,933,285,726,684,638,864,369,
015,013,364,764,291,416,496,554,438,067,101,011,864,512,021,646,662,938,223,
170,347,614,782,033,658,406,192,780,859,835,257,128,854,398,040,488,626,051,
900,847,516,672,496,764,996,661,786,543,320,247,242,872,159,922,529,105,014,
756,197,842,373,275,072,803,814,320,213,758,021,108,163,662,620,777,116,008,
179,028,007,754,312,744,549,378,874,321,656,432,003,596,283,176,154,766,009,
150,386,104,389,749,576,065,792,836,389,038,052,328,262,620,510,918,573,861,
588,738,657,686,838,127,111,904,975,468,301,548,196,243,213,318,222,959,848,
658,189,830,841,960,543,479,372,517,177,593,746,847,695,769,403,734,150,650,
497,629,272,962,884,541,564,287,626,454,081,776,983,464,976,181,267,146,219,
584,016,681,223,564,374,961,651,216,531,824,605,602,396,313,690,229,933,159,
397,232,972,827,062,430,165,326,060,996,049,665,450,371,465,477,251,666,722,
261,841,488,110,939,829,806,561,554,464,861,373,815,537,388,717,625,376,293,
455,902,511,121,470,423,304,485,257,576,178,426,881,529,808,089,899,579,037,
598,513,388,384,970,511,439,657,337,911,489,360,100,943,491,071,475,588,181,
814,487,340,297,341,376,573,587,873,233,011,837,196,556,049,359,055,189,679,
299,622,544,340,916,391,519,000,583,899,989,565,183,598,760,237,506,931,341,
000,389,585,464,958,957,823,025,831,616,431,067,254,692,423,718,441,210,610,
850,376,026,736,872,308,660,487,566,220,772,736,450,912,827,170,184,681,127,
307,795,946,419,760,266,349,796,258,443,902,405,023,253,768,742,616,643,755,
660,033,457,290,135,251,787,108,240,338,025,094,555,587,273,702,236,235,745,
998,751,994,246,146,263,462,730,469,505,322,627,036,824,551,247,339,550,226,
422,976,889,220,383,392,094,890,245,105,606,873,680,486,564,722,613,263,261,
490,771,355,043,442,389,859,765,148,766,796,374,174,627,993,952,514,155,763,
380,239,572,702,285,732,801,635,907,907,937,922,653,389,968,512,924,938,068,
523,554,507,243,465,850,696,162,896,439,066,779,222,687,544,467,976,226,397,
128,294,678,085,981,211,008,259,759,276,513,405,743,650,311,769,135,878,304,
174,441,811,830,566,960,360,623,926,419,504,199,953,237,409,459,138,124,790,
261,781,441,196,460,780,572,871,977,707,050,496,169,048,121,198,615,446,869,
033,373,207,010,638,623,474,948,578,418,783,568,283,382,820,399,584,264,068,
878,056,519,479,294,763,185,456,094,676,733,386,764,718,609,087,458,064,522,
974,624,548,477,483,026,185,757,716,602,702,772,012,751,942,356,218,186,731,
528,140,385,368,288,104,562,120,695,711,098,507,289,427,165,137,655,240,689,
832,524,095,966,096,794,317,551,395,138,754,229,611,536,133,425,263,720,592,
036,081,840,592,476,180,240,366,492,075,520,064,689,520,054,703,481,242,575,
639,903,326,781,476,526,291,548,166,183,048,222,849,995,746,867,517,974,072,
825,486,365,986,014,268,515,661,637,974,355,218,233,057,418,462,671,864,220,
972,190,658,403,266,294,385,446,175,054,178,696,877,640,626,450,082,790,610,
465,314,868,790,641,928,771,181,831,957,540,215,236,845,933,992,893,508,488,
694,442,324,694,323,484,415,342,464,039,300,485,534,004,136,764,112,393,140,
352,672,343,572,574,188,473,716,544,575,139,881,067,679,597,965,427,850,260,
646,597,920,726,541,672,454,636,641,846,057,600,428,714,478,101,611,435,687,
117,808,150,865,234,573,108,219,089,054,047,490,228,539,424,136,218,859,923,
891,999,653,145,245,699,790,075,631,230,207,444,396,380,039,658,835,365,632,
500,827,242,122,299,696,932,623,828,245,675,064,227,135,914,677,188,327,308,
970,901,527,266,657,397,664,430,745,911,183,124,715,498,667,822,376,500,338,
381,781,766,758,690,376,946,660,047,417,650,058,162,978,738,715,047,042,888,
278,662,547,212,663,903,161,793,771,733,474,878,737,518,361,660,695,360,149,
714,233,967,032,807,669,083,358,596,720,030,173,992,301,134,696,644,369,488,
541,880,993,835,513,779,278,028,212,362,599,819,819,433,438,717,950,351,525,
970,202,058,692,412,694,957,970,122,564,470,444,737,134,171,994,676,459,925,
559,784,649,122,990,147,453,161,945,054,291,348,873,109,995,766,359,391,972,
070,127,271,990,056,256,535,718,562,573,859,660,247,327,774,864,843,382,782,
992,663,646,839,429,517,601,626,423,780,701,629,529,410,424,013,545,894,700,
578,542,074,969,622,522,956,307,817,455,940,652,916,169,189,397,745,714,348,
065,351,952,856,039,855,273,927,892,407,464,802,222,102,000,267,209,006,977,
995,994,065,567,128,744,069,804,242,847,784,860,770,720,878,325,866,067,424,
156,464,121,834,894,992,184,390,711,588,307,855,566,777,302,655,751,353,476,
825,505,685,678,473,800,721,768,425,091,144,862,050,046,986,165,345,128,779,
304,991,424,418,100,910,380,994,681,883,076,791,865,056,683,995,282,413,056,
201,498,954,250,961,374,524,351,842,214,585,927,696,153,772,153,428,187,046,
110,351,618,401,775,671,385,601,958,806,352,442,471,907,972,843,245,847,330,
273,956,414,031,626,821,257,751,068,965,336,494,693,575,361,759,331,078,152,
570,620,878,004,150,152,067,426,699,082,523,604,325,168,470,419,425,864,083,
150,107,662,938,908,914,116,871,251,753,254,489,806,560,249,276,076,873,111,
615,925,573,433,697,165,781,450,856,876,426,578,619,026,892,537,897,891,785,
613,152,485,256,170,575,276,162,067,666,343,676,162,140,004,428,595,206,349,
273,748,867,434,817,021,492,534,831,033,494,382,987,146,651,755,769,654,908,
257,108,544,793,554,114,126,190,929,691,495,160,457,338,443,728,593,642,090,
374,724,270,430,587,371,668,438,354,675,703,536,728,759,090,513,697,107,245,
652,570,718,310,383,504,146,658,170,239,645,925,888,319,862,930,765,032,890,
203,685,686,967,296,662,395,913,908,695,822,458,288,259,470,422,222,490,125,
939,958,233,030,994,729,195,444,876,636,470,606,195,671,057,187,551,832,071,
579,524,554,531,884,679,385,804,020,149,552,204,170,441,658,312,763,599,738,
837,396,540,586,135,498,406,550,352,474,857,650,861,908,832,837,673,298,882,
030,964,551,786,448,501,585,680,438,258,174,477,898,748,151,692,860,544,969,
084,032,785,710,522,460,338,042,340,805,036,998,803,949,916,390,990,854,434,
477,449,903,762,307,696,616,695,867,275,606,167,139,989,292,898,759,972,474,
655,568,061,593,943,110,483,620,104,870,353,230,461,227,365,320,545,003,424,
980,897,139,484,464,850,862,877,486,184,130,480,688,806,313,643,620,430,488,
373,082,505,333,258,517,706,012,458,188,680,566,002,351,750,160,428,979,938,
306,987,128,376,625,975,223,617,308,742,037,270,123,537,227,124,545,589,458,
941,136,550,917,093,528,018,908,625,614,793,769,413,556,084,551,236,387,398,
066,340,206,437,287,728,641,263,752,479,355,223,335,363,717,302,138,914,456,
927,548,229,380,634,895,151,177,414,154,377,662,280,650,564,918,007,187,773,
127,238,476,600,083,726,344,762,363,080,033,971,058,216,377,645,452,105,881,
493,401,087,594,455,683,360,117,449,890,749,556,121,363,963,629,942,335,821,
398,240,561,613,502,635,250,355,046,015,649,904,169,005,290,444,823,199,370,
537,584,330,016,183,864,988,191,834,734,330,035,390,702,065,313,516,635,933,
246,794,115,430,935,001,985,705,362,789,337,160,241,245,329,886,782,740,114,
425,053,429,656,265,171,356,738,204,874,297,635,702,742,654,120,502,137,535,
849,029,704,747,413,468,633,199,585,112,045,432,602,972,419,363,703,830,811,
488,045,057,540,794,284,672,048,458,614,530,814,439,009,601,293,392,919,487,
574,489,298,417,372,810,250,082,095,430,376,129,117,373,301,484,071,781,065,
919,878,902,855,678,847,322,846,836,992,492,067,428,921,148,848,325,342,592,
856,279,379,480,899,028,684,945,803,589,722,869,832,348,153,984,810,704,384,
117,510,787,221,426,960,024,052,021,797,004,814,139,783,774,657,562,829,887,
316,969,232,267,816,037,806,422,008,986,524,578,701,412,258,312,656,866,307,
198,245,585,642,789,578,774,633,550,047,567,590,978,671,417,037,044,341,164,
576,350,964,409,376,384,332,628,294,096,862,920,185,873,696,312,225,672,796,
957,882,040,253,572,842,685,117,448,703,468,248,103,487,677,928,268,842,496,
617,468,166,906,931,962,110,014,528,459,540,797,102,719,630,083,296,910,450,
987,189,332,272,895,900,624,961,325,006,005,980,242,405,998,345,271,050,992,
209,422,416,208,306,797,927,936,666,245,559,212,645,617,777,495,554,994,174,
165,237,680,967,483,341,308,795,820,503,756,249,190,382,838,009,217,609,042,
300,817,439,774,297,612,609,905,789,001,347,313,836,641,307,557,802,979,600,
099,453,631,057,153,459,137,066,793,956,792,542,799,187,670,873,995,665,151,
426,771,225,761,506,247,586,340,441,155,722,409,195,622,566,044,826,202,619,
220,523,794,757,378,730,141,491,334,646,515,940,877,603,220,073,316,268,768,
433,987,022,806,838,312,146,158,711,561,556,395,159,430,775,396,807,423,881,
034,250,361,224,982,643,557,826,857,671,075,919,789,171,101,289,164,329,898,
145,016,632,223,978,442,506,985,133,736,111,159,140,440,671,716,800,305,078,
106,721,102,763,100,011,518,769,625,955,497,831,411,957,545,919,530,969,166,
618,414,252,981,875,469,372,875,404,287,195,799,430,216,639,983,022,052,084,
944,962,774,576,818,852,581,327,360,431,712,255,220,365,627,893,056,313,676,
467,386,375,369,990,646,727,984,736,562,543,854,595,269,461,348,997,420,415,
627,298,854,197,571,071,950,524,278,147,581,269,637,506,896,085,168,496,584,
730,881,289,188,829,315,648,385,858,674,799,759,902,820,247,279,205,883,825,
741,586,535,581,857,121,158,696,111,405,354,647,725,551,326,937,536,304,178,
041,033,551,496,587,350,624,705,838,510,168,670,198,739,021,975,806,471,954,
837,707,967,601,048,555,373,662,458,449,726,853,163,471,293,720,458,244,765,
055,232,800,565,359,557,069,226,435,237,619,101,776,530,572,218,886,648,100,
599,826,705,053,362,543,670,986,794,978,832,107,247,246,006,424,179,506,289,
323,135,975,915,140,153,954,978,212,437,379,465,089,016,683,086,462,940,959,
537,580,928,898,827,715,914,132,352,545,059,046,347,978,917,764,346,833,653,
349,204,720,901,124,928,887,903,267,004,452,264,719,109,886,209,751,066,057,
202,843,478,591,512,119,556,419,942,317,134,411,582,237,038,748,307,695,763,
768,046,289,791,811,419,470,070,876,671,330,636,855,994,807,592,430,537,199,
361,399,348,182,552,874,787,746,110,530,330,595,097,263,476,904,085,931,621,
442,766,746,541,095,840,918,868,606,496,557,336,093,687,884,695,301,318,958,
267,285,305,230,722,286,286,918,530,944,604,111,372,576,542,401,858,374,737,
438,582,181,865,950,426,977,631,813,492,579,321,634,010,106,612,326,338,491,
174,580,418,446,257,457,512,547,728,183,196,404,828,803,886,875,539,813,253,
801,622,769,817,484,486,673,873,725,488,805,330,002,965,671,369,150,019,362,
676,447,005,229,873,069,564,386,605,006,854,489,190,760,203,889,540,436,647,
696,868,180,668,454,528,938,143,161,368,522,534,503,042,174,835,084,593,885,
056,054,838,036,312,009,637,295,639,997,361,990,168,152,141,566,391,915,791,
230,157,294,613,349,320,339,886,753,416,077,527,236,688,247,540,749,402,696,
318,332,275,576,831,596,567,366,054,045,275,251,046,448,882,658,632,024,758,
747,891,803,043,106,647,880,711,278,658,850,237,511,401,500,987,280,332,204,
944,182,617,203,812,946,946,357,773,512,524,771,422,743,171,585,128,118,930,
383,341,436,170,325,604,915,389,111,036,901,817,950,158,868,455,638,807,199,
313,722,641,980,101,842,907,431,430,286,931,958,742,351,156,784,635,695,249,
946,513,587,091,367,369,933,482,143,579,315,793,820,934,452,975,609,210,308,
404,269,361,730,912,520,260,814,134,930,813,128,913,275,806,802,094,181,965,
718,579,407,139,966,081,081,060,697,996,654,690,647,329,527,530,352,342,999,
448,711,384,461,745,009,663,267,114,523,524,518,588,812,126,707,950,276,387,
789,232,563,052,882,116,164,394,406,901,295,934,663,116,226,247,673,849,635,
239,611,975,023,363,554,233,189,833,623,326,610,393,497,888,052,276,681,820,
456,572,132,266,834,252,900,738,803,022,374,260,349,598,192,679,850,674,218,
149,484,245,623,343,287,118,263,405,800,505,501,334,400,801,412,545,552,753,
669,505,852,883,776,321,546,384,682,419,829,252,229,066,380,514,264,055,904,
772,697,974,614,506,533,384,832,837,385,501,222,775,083,352,811,540,728,055,
637,282,705,390,907,301,554,051,103,144,315,270,230,273,298,915,053,717,890,
752,225,571,016,309,644,859,624,234,182,204,031,336,946,553,208,357,498,781,
564,126,361,042,766,532,676,534,403,426,333,859,963,638,357,899,555,090,378,
931,153,682,677,217,313,346,834,771,382,770,389,525,060,427,973,988,117,300,
821,322,415,103,191,871,533,883,591,362,745,110,176,748,825,641,323,200,472,
312,796,379,261,812,016,636,695,426,089,403,492,099,665,628,254,436,964,908,
280,481,617,257,065,212,142,294,281,094,497,588,792,131,932,732,837,864,055,
556,544,086,737,418,719,478,830,761,243,788,551,129,189,493,279,753,453,658,
145,636,375,197,682,767,491,252,157,437,394,402,782,673,608,710,971,634,761,
332,200,758,313,338,169,535,284,478,533,476,321,818,645,897,608,662,968,606,
461,852,296,167,652,361,293,823,395,444,967,135,585,248,296,569,520,561,709,
509,581,933,234,088,011,968,082,943,547,302,304,833,217,459,771,050,096,927,
949,960,822,995,276,831,656,922,306,887,355,238,074,450,455,386,116,552,340,
388,203,183,456,304,650,061,976,481,569,584,094,270,421,304,044,985,747,511,
223,434,601,985,202,845,881,189,518,342,910,347,950,785,627,467,453,382,468,
402,603,827,073,380,620,001,670,711,740,592,826,139,294,002,078,801,491,145,
323,101,563,888,011,421,161,139,168,525,171,963,593,729,950,547,035,599,193,
469,295,200,223,714,108,315,462,603,086,271,159,478,791,302,866,962,046,942,
132,032,734,632,814,754,792,906,460,412,378,483,815,259,202,130,673,324,542,
820,477,027,424,192,945,386,045,163,943,431,696,960,006,625,785,305,746,539,
066,439,125,072,883,799,825,503,262,456,873,202,337,764,429,290,021,582,168,
486,413,729,450,835,646,654,183,016,518,912,779,838,008,446,016,871,190,215,
864,178,536,951,108,967,119,219,014,168,690,437,408,880,850,746,882,407,464,
178,043,821,991,292,630,038,850,820,281,508,848,051,030,847,334,251,468,101,
048,245,436,116,804,115,209,244,653,870,074,685,432,861,180,485,857,774,710,
681,643,342,288,344,823,224,809,683,596,083,946,069,839,920,769,103,159,682,
439,157,224,985,414,726,905,238,856,988,343,281,037,996,495,592,094,967,148,
449,449,328,101,539,739,766,429,307,152,588,219,005,550,121,026,785,066,997,
280,350,165,038,978,375,501,064,564,881,842,938,852,011,267,382,999,008,579,
044,193,894,341,663,904,958,793,558,055,948,067,776,666,640,339,622,457,619,
447,704,345,620,297,778,701,908,862,514,582,583,667,913,142,063,392,656,219,
600,652,870,076,378,064,054,045,639,191,380,955,642,079,358,479,118,746,246,
932,315,744,335,110,971,224,249,421,099,535,321,506,111,155,039,274,298,749,
750,413,535,623,982,549,407,317,954,282,246,355,470,370,394,365,856,517,320,
461,931,007,824,962,099,670,640,859,429,570,735,979,104,637,915,730,546,447,
759,554,136,453,376,799,765,623,872,186,395,661,230,041,485,716,956,996,896,
716,092,008,985,278,790,125,259,727,348,056,420,677,182,820,517,269,065,011,
988,773,551,331,950,010,342,001,765,461,154,445,241,586,445,468,525,967,954,
543,199,654,106,417,420,944,024,480,396,663,965,228,727,128,626,992,698,104,
509,055,505,281,386,612,540,626,833,496,882,930,110,541,753,987,331,087,240,
847,302,611,729,772,956,745,217,466,698,486,796,329,307,432,260,509,849,981,
419,186,436,215,018,339,526,688,315,815,037,702,705,829,250,084,801,221,451,
041,494,576,026,326,888,769,349,235,493,897,203,282,203,598,354,696,562,185,
509,731,265,953,717,636,742,646,465,555,130,886,108,294,264,697,578,239,852,
728,890,256,236,743,521,661,079,477,621,293,707,088,146,206,215,618,811,844,
684,848,289,049,043,932,602,991,082,304,690,697,630,904,617,535,649,712,803,
566,953,247,207,555,996,710,721,667,744,701,676,477,555,680,007,855,048,553,
779,010,602,392,380,518,753,841,044,468,035,004,740,816,228,115,177,489,043,
722,224,645,325,893,811,373,176,906,635,647,743,929,756,278,364,852,868,333,
483,196,273,958,104,082,130,445,634,089,928,727,643,026,512,777,844,519,704,
219,498,472,622,915,823,576,816,607,036,518,820,689,173,816,894,304,987,393,
891,580,793,132,468,165,039,205,523,856,073,255,033,772,034,201,209,940,295,
097,009,714,818,410,907,367,558,770,999,117,642,015,749,769,148,062,509,775,
597,506,189,712,397,006,699,159,484,645,239,095,224,581,254,124,488,435,013,
008,888,120,909,534,748,201,382,236,888,932,630,529,301,871,521,908,138,502,
337,257,993,307,694,899,297,966,755,872,216,842,164,341,460,147,235,102,835,
533,327,003,210,438,004,206,262,866,784,967,998,219,834,556,307,273,360,982,
861,195,735,840,277,782,539,782,411,962,977,043,302,003,982,404,286,167,495,
633,065,527,747,533,381,283,271,298,756,365,962,198,162,368,672,553,758,141,
525,360,661,375,312,271,203,153,787,293,522,033,234,087,270,946,563,316,411,
795,865,425,768,992,190,776,134,198,246,210,432,727,384,666,146,094,075,814,
223,196,739,773,717,976,477,836,045,801,709,040,232,915,679,043,910,404,716,
697,724,920,164,789,606,870,050,875,561,978,323,246,748,362,981,230,560,362,
994,926,323,348,295,093,659,120,872,687,082,209,919,729,857,873,079,075,360,
320,427,018,368,052,578,501,423,651,032,821,457,300,188,718,444,964,597,467,
060,756,287,129,530,486,502,614,440,640,080,961,400,896,738,998,894,833,895,
983,325,255,132,309,647,017,488,285,426,636,634,261,727,025,835,656,060,845,
250,166,729,815,035,398,717,496,506,262,512,592,719,975,026,555,489,628,750,
981,968,369,094,175,193,374,710,586,208,169,600,336,732,935,057,624,780,697,
780,785,493,585,961,052,457,830,567,975,574,120,778,346,134,888,136,577,322,
071,695,265,986,984,650,941,058,416,391,011,617,270,432,118,312,839,297,372,
048,852,255,962,346,720,274,880,160,958,780,236,877,688,611,698,058,222,049,
867,130,027,935,986,241,667,930,689,255,833,158,154,663,314,876,049,278,283,
679,374,975,864,057,120,025,416,342,008,162,085,837,628,275,106,680,075,233,
608,101,594,069,308,025,078,281,867,672,486,599,478,707,858,647,251,566,666,
688,481,053,273,844,848,069,184,632,207,573,416,670,558,040,966,623,881,036,
925,181,944,256,444,493,311,269,923,796,232,825,666,318,593,572,569,400,138,
221,986,450,183,226,771,476,258,994,740,571,062,439,590,795,167,142,381,038,
690,062,427,526,974,656,411,634,863,663,433,482,460,873,886,179,174,274,228,
752,427,563,405,491,993,928,973,192,709,079,251,960,322,348,372,759,601,214,
587,216,441,534,386,713,419,978,264,647,830,471,114,605,136,732,215,330,188,
262,476,122,426,659,019,353,596,680,908,371,883,806,530,769,620,431,570,239,
482,741,388,569,558,584,145,873,874,452,084,702,288,462,276,700,027,968,407,
993,083,498,654,750,133,492,242,156,892,094,225,317,508,548,448,895,436,244,
213,871,586,969,805,206,807,948,682,868,801,840,917,828,272,846,901,067,165,
749,014,606,871,233,706,709,404,858,918,092,805,654,295,487,342,888,812,725,
706,168,965,225,588,448,603,212,621,588,009,104,684,129,336,912,566,459,415,
861,427,490,663,326,164,150,360,295,840,072,729,562,332,007,579,777,755,786,
969,560,662,649,668,900,131,950,257,508,610,141,857,793,718,492,027,858,091,
942,658,666,124,721,544,428,376,573,444,021,084,949,852,676,861,540,406,523,
777,117,842,483,943,332,873,033,953,955,347,569,609,505,314,064,532,195,679,
430,374,304,282,700,253,517,224,215,680,422,396,697,490,953,872,312,028,465,
131,846,608,297,488,045,337,919,964,402,942,624,067,104,283,466,667,487,804,
020,051,881,739,765,634,146,277,762,096,575,629,470,598,052,460,134,595,774,
050,116,145,597,506,270,816,346,543,478,377,124,881,888,834,614,322,449,674,
473,732,249,826,341,901,751,931,975,095,458,563,817,006,872,909,362,413,377,
781,946,661,951,532,996,743,975,674,851,752,268,993,963,288,463,476,187,094,
725,968,154,325,994,760,487,224,959,005,101,320,233,525,545,659,308,921,072,
626,808,830,210,421,811,696,865,791,698,508,942,109,389,089,287,516,841,868,
528,770,649,406,809,984,889,891,715,762,611,729,962,119,218,330,576,250,447,
609,536,549,684,669,952,137,820,720,211,100,872,058,261,573,026,016,761,643,
803,054,713,999,543,184,614,182,949,452,171,214,474,694,449,452,367,400,394,
654,676,703,599,929,362,385,299,782,872,617,047,213,531,918,988,092,641,219,
105,225,683,934,151,745,728,482,275,203,986,476,019,338,209,542,896,806,264,
990,872,040,672,604,003,959,736,521,245,063,145,183,244,304,670,953,892,460,
735,146,816,127,872,085,451,231,638,851,159,406,963,510,030,119,433,641,705,
777,079,186,712,088,149,418,703,002,493,857,781,014,328,462,841,852,903,055,
899,763,728,294,682,425,591,674,851,733,691,822,644,230,560,422,530,022,856,
656,192,746,941,223,055,967,160,479,626,799,852,213,994,033,466,340,103,262,
875,987,013,780,690,082,849,285,422,319,961,141,503,512,215,731,726,309,490,
971,631,709,547,525,958,990,616,577,115,897,955,249,733,188,429,224,017,570,
016,495,964,854,667,571,790,856,119,325,627,505,260,786,350,045,670,929,244,
738,895,682,756,896,635,439,495,977,126,252,512,674,222,084,896,269,452,879,
297,866,376,043,263,010,567,279,942,033,976,064,471,197,062,272,522,550,064,
417,518,084,237,985,047,813,336,826,687,402,666,756,598,218,859,951,403,138,
089,482,325,323,821,532,608,912,560,182,579,483,603,067,282,381,532,946,534,
936,979,621,795,645,698,602,999,522,916,208,044,139,154,445,985,827,499,661,
639,082,437,551,332,404,363,679,932,734,410,922,225,332,207,149,257,470,070,
542,958,366,392,445,220,079,229,244,166,944,519,652,586,722,509,793,823,918,
831,001,774,377,189,804,536,573,787,860,584,153,632,971,381,938,633,037,512,
599,785,931,162,625,278,333,172,599,740,769,440,565,750,551,425,039,249,688,
178,655,995,628,583,077,190,583,149,680,339,485,881,501,185,762,382,710,568,
344,133,376,676,778,401,220,880,855,946,391,222,871,157,165,518,520,150,279,
436,163,882,246,652,500,290,490,647,460,937,479,713,312,731,608,198,745,188,
889,031,349,858,905,731,549,662,098,327,934,794,955,857,798,809,386,826,361,
986,023,828,464,749,776,882,265,323,873,396,184,221,418,940,844,418,868,121,
093,701,397,000,480,916,613,817,168,111,489,223,869,637,007,440,717,613,994,
757,172,275,220,281,584,983,446,149,377,394,581,845,276,244,090,952,066,973,
236,043,284,826,776,325,689,958,104,072,422,332,188,315,992,989,877,522,420,
306,322,764,913,251,114,829,532,855,437,432,189,385,161,448,283,245,839,891,
800,367,325,585,231,757,920,838,376,658,418,326,664,309,742,648,906,638,097,
021,820,542,716,660,156,224,865,151,053,718,471,647,091,944,629,133,630,214,
789,450,374,083,023,061,594,185,512,252,886,034,507,489,127,655,607,399,359,
091,028,679,691,285,488,862,076,335,274,369,954,481,494,844,822,452,358,005,
096,793,882,211,841,717,159,831,305,779,407,273,019,359,438,712,302,984,822,
431,305,505,158,438,225,947,353,762,504,527,601,111,663,705,609,846,019,580,
817,139,710,496,381,614,645,854,927,649,376,722,918,437,124,521,094,592,831,
689,988,869,905,688,557,590,606,849,775,542,741,074,773,694,877,147,829,420,
607,532,595,068,092,079,135,854,258,623,985,488,577,598,214,573,969,313,677,
043,824,833,203,180,167,449,362,632,011,055,469,240,567,350,518,496,091,639,
537,012,159,542,219,705,040,006,983,937,841,537,400,908,608,571,768,078,430,
698,198,052,341,916,596,120,107,266,087,517,699,856,191,744,106,217,567,405,
161,258,292,458,150,156,271,004,218,301,622,153,148,863,194,721,153,826,206,
460,883,861,841,650,237,398,115,712,513,086,602,949,195,606,675,178,447,722,
221,159,385,500,881,157,272,391,902,507,986,510,960,721,450,815,401,004,084,
574,429,652,218,301,217,725,589,620,282,629,920,251,683,542,643,781,830,505,
762,700,864,449,940,174,802,232,413,508,668,353,913,330,293,034,300,027,700,
264,658,470,119,489,553,535,442,187,102,850,591,830,100,676,224,135,861,345,
702,447,771,110,334,523,850,135,396,071,221,449,469,108,262,976,024,796,701,
552,527,667,806,618,794,255,191,959,903,039,680,660,207,936,459,708,215,018,
728,701,762,667,513,613,521,105,144,049,349,197,670,104,230,786,171,195,430,
779,448,112,844,619,715,527,121,560,059,547,934,366,474,427,688,866,088,036,
065,089,410,172,311,749,836,529,068,167,869,789,430,243,293,309,975,560,167,
872,700,608,371,147,776,986,387,381,212,620,192,562,768,899,382,228,681,483,
505,529,497,688,935,653,463,131,197,247,341,659,117,629,905,550,749,817,041,
635,336,122,442,003,417,782,248,104,918,432,272,572,019,105,695,136,289,447,
596,433,261,166,367,576,715,357,097,882,535,802,771,106,087,763,717,577,034,
516,430,652,099,730,159,318,468,871,276,321,641,555,177,071,264,627,655,805,
003,300,381,007,603,211,196,208,410,897,621,510,934,035,801,199,091,680,706,
549,346,623,005,819,395,204,051,169,292,949,885,013,015,189,618,474,495,794,
351,135,433,566,287,507,572,983,164,190,995,613,415,789,195,193,965,838,243,
291,015,837,353,832,181,994,563,931,593,528,443,306,826,249,765,166,461,104,
950,216,893,181,715,014,022,682,528,988,708,706,932,168,137,715,945,918,073,
141,256,464,323,374,634,464,822,197,290,600,051,318,521,822,066,735,804,581,
151,776,214,610,309,599,156,544,013,965,172,389,999,034,654,567,372,298,031,
637,202,580,810,268,090,902,332,730,001,574,835,280,767,068,344,124,823,008,
483,133,382,861,498,693,414,430,491,542,838,612,645,364,385,701,784,034,127,
684,907,844,037,929,668,515,668,864,498,902,927,393,394,804,505,467,451,772,
923,490,378,956,445,126,206,571,423,894,369,159,155,060,579,212,547,483,893,
607,151,915,991,991,363,449,549,254,017,913,643,756,084,892,497,413,590,924,
427,296,962,988,744,760,974,312,060,711,922,235,942,229,542,937,316,061,391,
116,518,568,919,478,283,328,219,564,679,497,327,265,174,637,290,074,714,127,
301,249,454,705,821,239,336,740,252,117,862,693,957,222,591,636,207,444,072,
634,966,955,283,918,865,713,714,686,436,348,055,038,388,872,836,261,423,771,
186,368,799,011,168,886,576,082,429,523,746,493,338,702,388,389,393,909,580,
406,157,770,637,891,930,172,106,502,064,646,225,241,935,097,761,813,067,343,
943,958,587,650,919,249,917,203,749,500,809,963,935,998,683,136,675,042,169,
683,089,811,490,778,018,702,502,313,773,095,931,919,044,790,465,907,021,986,
592,616,937,697,660,314,575,004,384,193,006,767,909,126,643,156,336,039,727,
930,578,916,605,863,906,460,219,987,768,716,356,661,414,341,424,819,855,774,
564,532,160,666,506,930,311,883,186,174,862,637,697,539,858,965,957,386,312,
215,870,050,837,417,255,269,352,942,896,994,496,853,526,290,098,657,064,769,
793,804,010,796,299,192,153,000,348,586,642,999,506,871,562,966,816,666,341,
843,939,292,820,151,195,925,567,590,835,326,985,169,426,758,256,021,793,336,
139,962,646,016,046,377,070,553,052,525,429,875,988,443,934,646,743,600,528,
910,161,462,545,314,998,134,525,408,307,536,953,245,742,549,289,425,512,235,
292,737,904,795,931,976,144,591,039,990,254,099,682,557,405,022,397,168,529,
693,851,182,484,965,531,191,150,078,905,567,268,577,958,313,884,165,799,485,
385,300,687,067,881,610,395,033,584,369,192,416,041,617,821,939,296,844,472,
393,872,543,370,778,374,169,601,724,213,816,833,359,793,822,476,723,802,418,
353,252,470,988,836,443,340,798,874,807,192,076,211,241,306,780,245,505,269,
606,787,144,577,002,098,700,828,655,048,279,697,302,684,269,757,284,864,286,
711,256,839,918,514,138,259,867,943,309,045,172,021,736,341,272,686,846,973,
091,405,053,186,355,850,187,575,752,214,468,859,228,096,186,829,440,028,663,
317,747,386,858,665,399,795,114,322,338,637,418,319,587,795,585,534,965,847,
963,037,420,211,118,090,847,607,781,269,345,159,448,406,047,491,986,839,812,
919,448,975,354,423,464,121,235,740,944,852,534,083,105,618,284,199,323,125,
428,197,356,407,874,801,057,765,903,309,745,092,060,664,374,722,033,231,096,
868,540,936,752,917,973,190,329,698,863,175,072,559,061,189,373,593,610,148,
090,699,247,588,597,286,295,346,970,155,833,636,033,760,270,893,301,899,074,
371,582,677,023,800,014,577,418,699,769,583,416,023,068,494,386,033,804,573,
095,437,947,069,440,091,460,622,329,881,362,892,551,204,291,483,064,101,403,
465,014,639,205,912,485,435,314,577,499,646,682,455,857,616,698,038,758,280,
629,794,152,266,379,499,302,338,503,860,793,404,854,997,330,952,038,836,629,
473,081,883,650,213,705,659,226,522,183,572,431,462,285,054,263,829,175,875,
359,788,141,629,348,637,946,221,991,234,903,460,196,275,252,811,174,908,090,
784,590,031,175,461,116,877,884,522,728,102,564,018,324,864,588,228,479,083,
908,721,969,685,384,465,485,817,472,995,789,929,944,174,788,750,000,166,694,
582,691,789,478,499,150,624,307,164,930,286,544,217,375,262,914,267,020,229,
322,991,309,461,087,480,499,254,611,384,464,729,271,601,684,390,957,204,941,
911,538,788,683,743,248,917,564,378,513,997,194,042,320,564,921,572,642,934,
439,818,081,279,215,691,410,525,285,107,656,789,492,598,750,998,286,886,069,
264,562,321,653,808,022,638,130,504,305,209,130,971,570,896,552,830,499,081,
023,916,672,768,863,887,566,483,432,308,227,674,751,095,704,090,449,542,668,
285,071,768,600,362,231,121,772,552,785,094,394,878,393,876,894,267,778,492,
614,868,582,224,632,639,111,219,246,957,101,670,246,651,614,730,360,005,132,
899,307,043,895,593,050,271,477,708,436,334,577,386,303,917,335,540,368,763,
775,486,354,150,009,699,795,287,899,735,946,321,388,732,622,144,945,767,357,
738,065,508,481,725,629,099,479,927,173,923,486,575,832,688,321,802,330,075,
794,416,488,065,850,866,951,475,237,686,913,917,555,532,971,250,594,020,240,
118,255,313,355,636,890,256,941,491,996,320,413,448,369,004,856,469,584,642,
753,468,885,888,967,266,922,611,250,286,081,114,819,790,325,949,013,733,482,
605,984,666,453,087,481,549,283,662,313,969,194,950,776,519,454,803,491,556,
214,515,072,774,221,118,812,450,727,071,315,924,542,565,288,895,235,918,765,
101,314,764,747,530,749,668,247,595,495,111,161,471,477,522,962,495,598,475,
067,946,476,871,776,150,806,498,648,118,735,258,891,572,817,377,460,123,293,
566,182,365,036,858,606,448,682,923,294,112,764,835,085,442,888,495,907,663,
965,979,178,078,099,411,576,560,796,086,306,596,486,319,895,668,854,040,488,
314,075,636,469,510,708,301,991,303,849,919,517,935,242,025,086,045,526,171,
908,634,709,655,005,655,265,833,026,679,335,734,148,711,388,349,531,090,635,
586,554,734,525,124,715,116,698,152,678,981,971,568,793,385,867,951,361,722,
521,176,949,178,090,819,366,263,275,243,756,562,311,922,284,580,209,298,568,
286,429,288,744,196,088,793,076,315,105,132,477,441,335,751,154,476,045,873,
341,232,191,838,175,084,995,896,083,484,381,859,605,938,302,746,917,723,024,
073,215,502,493,811,215,021,427,411,722,532,479,503,233,259,183,167,918,321,
522,140,879,269,955,189,613,785,798,931,489,779,870,815,587,128,812,753,677,
394,284,308,299,361,627,885,459,285,307,315,386,546,975,312,380,192,734,906,
996,745,369,484,728,904,281,290,186,762,691,560,448,754,239,969,586,230,288,
558,727,751,057,935,000,562,760,772,111,867,240,209,428,926,473,053,862,339,
456,388,760,588,832,688,941,968,041,510,649,558,012,050,200,960,834,189,928,
936,671,565,611,442,013,136,745,262,407,349,891,814,764,443,448,224,576,773,
271,133,146,509,507,043,287,124,131,882,813,932,734,644,612,727,601,599,445,
131,144,095,205,828,932,827,976,739,523,659,885,682,607,081,536,797,438,091,
012,685,039,827,513,938,690,931,147,018,467,614,951,823,884,514,273,764,370,
010,333,692,968,869,696,214,869,011,480,472,111,104,935,088,513,141,266,276,
009,719,673,432,326,543,993,173,366,760,394,271,298,722,003,427,055,329,328,
149,830,539,718,058,604,352,307,541,660,809,900,867,746,472,775,778,990,714,
413,146,281,125,150,764,526,996,656,126,448,787,505,152,936,664,763,180,492,
282,615,974,617,888,691,291,603,371,755,110,160,507,310,738,326,071,758,019,
421,095,318,990,541,790,016,700,357,823,156,982,644,438,201,819,663,600,159,
469,990,033,188,015,592,333,167,635,632,401,142,676,211,341,076,887,211,851,
472,779,315,172,248,429,294,360,281,377,200,000,692,660,254,154,834,406,776,
890,690,736,902,471,316,946,570,813,621,209,500,277,663,260,568,767,619,317,
577,978,288,597,329,345,576,161,389,830,447,592,089,575,841,160,479,260,220,
874,385,329,489,812,566,825,815,994,862,819,943,202,441,970,175,216,897,495,
941,373,377,495,668,460,503,471,484,455,947,168,149,403,517,785,968,379,479,
059,269,258,623,101,551,902,275,703,855,754,177,565,951,206,868,417,155,745,
885,621,087,842,849,040,130,327,894,387,815,034,611,752,719,151,674,199,198,
050,069,724,056,205,311,042,285,614,100,497,481,899,766,000,437,338,909,474,
663,531,072,142,315,640,167,620,980,154,916,147,281,275,657,771,218,278,661,
220,014,608,772,929,244,638,579,860,041,629,563,678,015,961,159,165,138,469,
921,708,414,683,082,680,750,076,125,254,599,720,261,361,519,094,403,209,154,
831,867,336,817,586,707,138,617,217,195,821,170,360,253,480,707,225,380,047,
683,172,546,416,302,115,494,600,559,836,216,319,509,593,641,696,646,859,174,
971,302,398,944,272,277,846,835,076,775,749,565,373,969,683,926,507,457,962,
705,102,119,803,720,636,151,385,353,276,718,253,477,079,860,051,364,785,921,
869,638,128,209,793,662,742,312,443,101,143,402,234,593,255,382,504,729,569,
917,706,569,062,717,290,609,905,903,996,774,666,152,057,143,496,190,230,861,
876,296,703,289,889,927,048,023,577,478,024,938,486,789,318,599,475,723,728,
490,702,635,336,828,617,777,473,289,081,857,666,583,432,743,850,732,486,393,
345,823,767,306,289,762,307,763,775,981,495,274,681,609,431,169,674,991,407,
539,196,125,179,436,779,694,917,319,798,575,194,708,329,792,756,751,405,025,
325,624,205,594,748,570,744,949,633,105,743,137,987,064,687,674,419,708,067,
281,091,232,580,686,582,281,044,035,952,156,609,010,379,283,261,611,255,591,
981,402,627,458,777,582,315,595,821,794,312,766,393,548,373,697,939,624,915,
973,544,589,787,647,531,883,287,621,594,308,225,242,552,884,103,657,805,492,
795,011,028,509,415,873,706,640,862,902,519,646,246,147,687,672,806,773,692,
512,420,082,684,836,767,333,285,762,584,526,579,336,249,891,966,126,205,898,
253,234,615,455,488,324,946,877,788,322,183,862,009,044,884,516,264,990,721,
006,574,235,724,059,837,935,588,989,679,674,855,367,438,471,311,968,002,497,
949,579,220,216,515,859,574,052,689,023,579,439,110,089,947,082,071,576,395,
331,495,567,017,380,544,392,536,338,733,926,592,519,329,339,217,522,177,405,
892,005,801,539,020,176,415,999,934,605,449,518,077,113,416,622,185,067,697,
771,661,688,689,675,754,119,570,553,164,598,919,612,004,543,645,739,064,228,
416,516,885,567,580,203,325,308,938,718,378,953,622,616,921,405,776,974,332,
294,224,915,664,495,995,446,923,002,641,915,779,549,179,312,600,504,869,874,
944,031,833,044,002,380,789,812,046,679,552,552,785,148,697,165,020,300,885,
234,986,721,383,610,645,272,993,962,170,673,148,232,023,767,556,658,119,930,
807,322,930,465,153,040,674,054,376,705,262,974,193,977,930,848,929,228,448,
801,825,602,813,442,953,989,026,093,853,308,337,632,153,445,337,896,547,649,
680,828,021,101,518,455,184,435,895,182,919,274,400,122,557,104,181,597,746,
794,858,941,940,716,619,852,411,867,158,232,660,382,393,078,065,457,165,242,
190,895,892,992,630,355,024,775,662,921,046,738,943,982,747,716,218,341,151,
547,189,354,464,211,153,658,291,206,008,107,228,639,320,434,121,997,172,275,
673,708,168,818,033,581,236,448,820,670,350,331,318,713,704,574,286,986,290,
822,533,183,691,693,050,728,273,545,307,092,638,802,482,725,639,316,555,736,
013,200,458,349,260,947,253,502,600,369,597,231,380,115,407,243,575,217,632,
183,683,314,840,349,937,950,691,459,708,190,256,450,929,387,149,902,959,244,
105,766,895,652,072,488,086,701,262,400,231,501,244,530,217,936,297,491,183,
536,380,093,065,997,785,298,577,729,931,969,942,965,629,745,108,380,433,340,
657,029,036,340,574,270,513,743,889,288,208,592,679,176,761,922,516,335,539,
944,776,633,026,988,393,264,624,869,123,615,845,249,056,234,366,381,091,841,
716,668,504,117,599,465,097,668,392,046,094,307,185,122,081,154,520,034,304,
551,274,736,814,924,705,742,535,889,501,220,873,606,605,710,450,803,929,846,
340,131,300,305,187,889,082,275,941,228,820,400,360,511,891,506,590,876,189,
048,149,626,937,600,159,067,082,533,737,410,098,965,285,546,979,436,916,094,
583,112,464,615,844,169,703,698,803,270,748,918,171,063,235,658,897,222,763,
054,914,336,402,515,794,604,132,260,259,991,719,470,272,277,209,239,988,256,
709,523,841,238,100,110,536,673,619,017,706,110,853,079,118,395,566,482,609,
892,074,257,384,436,724,311,784,553,363,906,308,440,900,230,826,676,618,368,
173,167,749,702,020,436,391,969,566,222,772,883,760,652,597,322,894,574,524,
931,515,417,084,776,213,000,998,217,221,028,386,431,328,792,185,285,965,908,
442,789,741,106,088,950,081,273,106,860,323,662,091,535,670,394,500,475,158,
698,985,517,858,781,127,642,515,338,453,622,496,547,523,168,804,887,353,175,
398,371,802,515,326,428,288,273,539,468,854,875,141,451,045,322,706,020,380,
744,624,574,406,664,068,831,507,900,453,939,064,718,980,392,730,832,289,506,
489,319,409,639,534,520,876,073,618,293,163,841,850,866,677,588,311,724,432,
030,028,125,982,748,139,795,966,062,739,745,867,044,952,788,002,451,917,797,
459,526,618,557,206,573,052,562,013,626,619,955,028,697,597,080,547,383,435,
098,769,754,354,164,541,142,599,994,262,247,400,417,379,356,056,884,701,840,
701,590,649,495,260,752,290,558,356,001,624,974,798,786,175,979,475,935,466,
223,658,803,928,894,459,360,757,531,704,753,858,007,071,856,809,500,961,506,
672,201,138,680,419,049,987,185,341,444,386,743,919,903,139,713,206,273,326,
260,689,094,181,638,494,851,302,829,309,848,902,983,386,818,608,074,718,386,
480,102,176,882,357,098,073,296,672,454,412,996,062,599,956,523,712,865,452,
643,085,482,434,250,544,190,850,229,860,779,865,051,409,696,690,331,202,806,
298,400,109,040,888,926,032,888,013,208,480,756,085,626,695,183,329,894,611,
346,236,587,669,143,772,032,250,770,401,494,111,673,948,278,228,241,989,767,
413,990,956,870,055,976,937,146,147,517,366,628,706,778,550,595,248,261,758,
299,535,217,551,637,918,017,368,379,912,352,299,657,904,604,904,214,589,453,
866,393,467,063,853,144,099,339,033,763,196,689,360,804,084,186,176,001,245,
936,054,258,271,635,461,388,535,723,896,048,192,107,049,072,944,215,923,895,
798,632,389,920,694,668,520,903,193,034,142,469,767,430,795,783,609,717,044,
476,221,909,547,093,078,906,602,906,237,113,192,021,293,336,500,526,118,944,
338,611,004,436,751,736,648,741,932,928,146,775,622,344,297,126,859,572,544,
598,963,680,716,534,074,853,270,841,383,615,273,456,197,298,146,731,019,503,
525,184,453,349,384,746,918,050,039,169,181,909,136,788,043,754,908,968,277,
726,835,022,104,416,596,915,976,354,810,499,080,683,741,101,182,184,374,258,
601,779,430,993,578,119,564,605,262,654,802,112,350,996,012,323,773,997,782,
131,810,486,760,979,899,480,489,410,028,507,353,795,914,917,926,207,432,755,
180,169,590,532,926,585,749,109,268,227,414,758,491,239,181,519,602,344,572,
393,144,338,543,321,323,096,263,203,531,631,303,771,813,376,992,944,180,586,
771,582,327,855,471,831,929,355,910,126,180,223,620,832,080,654,496,203,309,
520,758,425,587,256,727,228,602,734,140,289,904,451,192,483,296,530,033,713,
767,459,325,180,936,691,119,787,111,417,822,485,863,394,006,871,677,999,085,
767,660,979,232,861,426,545,068,586,406,018,902,563,310,238,143,204,377,960,
670,660,330,346,285,134,102,207,844,572,448,439,850,492,465,739,922,828,311,
877,694,033,046,199,535,253,835,016,154,566,810,801,886,933,313,787,561,062,
950,553,540,919,553,298,611,537,902,439,099,559,385,582,389,909,353,731,132,
913,867,388,979,188,040,780,289,825,790,357,396,496,809,240,078,295,847,495,
407,619,362,322,012,023,846,434,372,186,595,368,303,046,433,012,028,256,331,
910,967,991,597,423,314,988,203,739,904,642,357,207,862,336,950,236,422,843,
764,223,532,616,079,171,320,180,773,803,210,609,299,437,585,547,734,137,866,
106,571,027,557,068,879,744,246,393,577,681,679,357,050,610,766,407,184,142,
452,642,024,174,830,693,874,250,233,572,611,347,332,953,974,361,757,333,215,
116,196,601,030,235,006,601,687,475,108,618,663,772,383,154,307,087,118,819,
372,605,086,296,250,888,107,696,184,672,801,300,222,901,885,192,806,927,578,
158,523,605,310,746,231,979,612,797,454,107,777,370,232,603,584,950,650,296,
573,427,820,475,868,168,053,212,557,069,536,698,642,318,054,886,928,083,895,
248,336,526,124,029,452,461,132,215,609,154,639,206,023,819,719,762,226,397,
023,259,589,936,754,728,133,153,889,436,282,104,863,877,687,633,506,962,621,
165,388,207,741,463,194,469,582,249,087,154,005,591,709,957,639,261,180,576,
916,565,646,599,890,543,761,929,600,100,432,442,821,537,333,802,482,757,300,
521,535,988,221,416,175,990,999,771,833,774,061,251,685,261,967,220,288,365,
417,293,350,984,184,034,679,340,570,257,814,921,341,498,790,930,367,722,475,
068,244,646,206,535,860,520,855,631,370,001,028,746,241,440,044,966,832,152,
865,446,076,494,891,957,922,116,611,608,759,936,779,323,093,726,119,294,516,
235,052,106,709,005,812,558,134,920,148,251,617,869,581,204,322,844,785,812,
722,318,932,498,387,529,558,663,631,213,363,346,582,647,404,842,169,180,934,
689,962,205,689,243,912,724,871,629,560,780,035,167,136,749,490,350,589,658,
024,736,122,414,171,065,139,002,431,510,796,767,102,309,706,682,007,492,458,
531,486,346,027,572,568,911,965,845,437,673,633,259,562,472,660,899,995,282,
196,561,051,874,463,275,853,601,957,759,570,568,005,904,947,469,224,006,728,
235,856,552,955,473,473,379,115,237,163,563,450,761,344,070,319,347,946,119,
066,349,497,111,353,580,631,298,567,623,647,044,429,554,407,541,708,136,228,
291,394,433,351,973,589,727,279,746,220,771,294,150,313,754,721,919,957,764,
676,156,865,143,078,563,306,572,459,531,569,546,370,194,718,400,826,848,517,
171,103,487,186,784,260,179,882,282,844,860,333,719,547,505,733,352,568,413,
816,061,586,502,348,318,305,879,773,025,842,194,295,233,877,048,957,532,404,
434,845,208,465,857,091,664,682,673,683,437,222,914,231,683,901,261,922,640,
836,060,819,469,125,029,470,853,868,840,044,846,145,283,150,114,383,913,356,
728,754,429,207,750,452,452,015,415,071,794,412,285,270,387,117,591,087,099,
311,523,075,913,008,857,862,033,048,247,742,084,228,286,492,515,573,431,767,
586,898,532,749,345,941,567,626,449,603,992,066,078,892,306,313,230,625,197,
817,379,069,081,249,345,530,036,595,163,416,922,155,503,082,095,905,673,040,
614,727,333,561,437,982,651,130,530,543,122,571,722,130,272,213,980,933,684,
437,499,371,995,138,928,042,363,554,658,260,142,045,657,433,643,820,806,935,
877,928,466,119,363,805,323,889,422,646,419,714,209,333,470,557,681,351,829,
268,480,676,736,984,848,385,494,891,645,980,726,480,281,755,286,021,990,566,
757,376,569,301,203,336,805,531,282,481,223,360,139,875,304,570,188,088,429,
995,717,308,938,654,508,945,053,971,968,554,340,087,205,326,751,687,540,890,
516,187,181,060,654,679,662,059,995,481,412,514,540,364,208,814,856,274,482,
015,648,178,353,896,578,402,060,163,824,217,856,678,026,692,159,208,077,761,
207,149,262,531,454,343,347,036,566,469,501,813,323,220,888,458,549,516,143,
514,237,286,416,358,604,176,555,332,019,720,879,640,421,434,464,681,324,294,
004,472,076,430,818,157,328,203,461,019,599,334,330,693,146,744,247,926,603,
430,638,010,991,586,698,547,418,722,982,587,112,391,896,721,543,083,201,666,
146,815,154,426,480,857,647,326,746,254,919,473,769,080,462,060,598,277,343,
328,403,051,438,847,594,318,487,767,960,598,751,555,893,574,232,192,363,683,
378,693,519,038,800,408,237,932,019,944,091,417,507,785,133,574,913,520,735,
577,051,712,983,406,789,231,724,868,310,469,093,330,357,956,592,255,977,767,
914,218,634,877,841,293,211,501,349,225,145,619,217,301,937,548,893,360,867,
872,432,045,569,589,886,035,813,965,938,435,581,048,575,132,799,136,681,645,
981,846,145,678,002,306,270,875,260,554,527,312,789,448,971,977,787,061,681,
295,101,275,462,652,619,462,596,645,167,636,602,234,674,767,182,644,078,158,
936,593,438,599,529,536,302,210,954,801,459,857,444,373,578,227,073,578,480,
204,736,572,252,547,335,152,779,439,841,222,928,837,367,056,925,814,037,066,
610,617,290,586,884,618,802,332,365,937,182,535,620,001,309,343,421,947,280,
010,034,472,905,967,184,784,899,397,448,197,344,579,070,027,955,524,643,992,
582,474,841,564,351,496,488,530,602,842,625,961,731,957,216,777,876,067,953,
999,727,620,828,955,016,569,142,192,389,735,901,447,397,120,693,593,970,152,
960,577,567,835,411,694,561,165,355,053,763,292,406,218,707,710,559,554,347,
812,536,777,620,603,503,697,116,902,209,165,033,043,207,442,887,031,982,036,
823,931,769,922,699,117,600,329,847,043,986,114,316,709,180,422,626,202,606,
961,778,201,915,889,351,531,441,520,227,929,927,787,400,733,723,417,052,682,
584,765,206,979,652,360,819,951,976,785,156,156,944,607,508,383,173,078,415,
660,666,843,908,761,330,751,917,044,779,611,422,117,412,762,928,472,714,229,
571,970,026,394,763,521,127,205,167,056,994,557,307,105,518,138,602,578,627,
600,461,689,020,734,727,051,252,453,020,964,745,947,503,287,745,001,855,368,
838,243,856,822,006,437,037,432,480,673,498,998,938,987,833,376,906,468,095,
405,952,467,528,871,033,084,304,831,083,094,993,553,875,657,189,760,010,650,
518,406,089,599,060,845,535,542,900,562,307,891,256,109,673,760,451,955,813,
323,041,652,700,310,378,478,244,001,481,336,152,992,509,591,398,000,581,495,
147,872,731,836,613,237,151,040,444,967,138,957,860,812,069,899,513,682,989,
959,050,260,326,452,406,736,082,546,505,657,889,880,902,338,938,945,568,197,
367,228,266,265,228,055,361,697,092,231,908,205,252,496,113,593,376,343,707,
357,350,222,410,094,403,883,013,198,994,299,304,075,017,578,991,894,510,118,
065,730,499,071,499,878,313,102,848,099,162,006,658,590,612,056,807,936,768,
451,455,767,714,821,684,087,947,024,691,547,986,750,947,608,798,338,338,537,
938,332,912,768,842,205,527,642,329,283,021,851,639,520,730,238,920,509,639,
262,849,789,274,485,150,723,902,800,208,834,342,623,568,647,971,103,917,837,
660,008,345,522,169,703,002,333,933,304,820,094,436,231,475,473,778,254,094,
213,433,264,227,651,464,322,698,244,441,895,569,558,632,844,545,214,007,305,
316,648,583,286,069,206,109,932,370,648,609,591,265,803,683,988,223,962,251,
620,470,786,774,245,100,500,398,732,521,040,265,689,590,580,030,620,052,615,
148,117,491,958,773,742,131,242,904,051,238,069,070,167,632,100,549,370,740,
069,104,339,454,353,799,031,437,460,156,510,069,322,918,145,641,764,706,559,
774,329,331,776,030,539,559,461,094,325,755,127,474,067,170,484,864,955,531,
188,654,504,851,625,833,424,328,703,989,632,662,501,462,028,448,902,960,337,
914,535,773,571,803,583,252,228,781,409,360,975,795,072,605,826,871,365,274,
121,436,743,203,810,828,086,490,281,818,962,714,332,409,975,940,522,120,655,
812,611,351,465,871,950,864,900,843,109,196,860,814,857,443,784,756,576,076,
499,120,364,990,502,688,724,045,561,217,245,389,048,352,117,612,180,812,057,
504,145,842,073,446,401,589,650,158,761,321,296,719,760,951,218,816,367,918,
458,285,422,389,977,302,779,310,616,772,744,377,945,904,275,173,033,613,206,
763,934,215,015,970,517,795,991,378,228,371,899,989,732,424,659,865,246,141,
305,759,995,214,101,871,704,447,722,835,346,022,529,731,537,736,612,812,300,
679,242,335,055,796,137,288,633,821,450,627,443,677,558,657,333,101,813,365,
016,665,041,812,832,260,343,487,289,500,762,691,741,713,637,554,400,555,436,
434,525,071,461,700,793,637,456,068,107,898,170,591,588,537,316,283,974,756,
639,047,478,099,491,748,145,841,817,829,554,886,098,611,874,599,501,621,438,
244,967,846,912,181,558,647,381,780,594,100,838,409,504,750,494,142,560,162,
375,990,724,891,258,704,563,403,966,798,517,050,949,383,880,076,245,002,363,
485,117,539,750,758,918,886,856,073,096,074,379,242,920,478,124,766,875,012,
279,801,257,850,130,062,999,509,919,893,930,552,524,847,102,371,214,482,981,
463,452,773,061,195,113,162,128,421,139,143,606,665,647,535,497,619,352,490,
249,539,655,689,785,176,090,303,727,618,820,116,061,012,985,111,635,395,690,
815,601,410,367,782,636,390,513,454,951,392,851,622,669,170,108,975,968,182,
122,201,498,006,163,249,529,656,609,984,631,816,149,881,563,553,240,303,847,
992,714,039,611,718,512,724,975,101,473,975,967,934,914,145,114,077,644,819,
496,097,377,000,110,884,082,669,275,226,860,804,636,864,875,073,950,025,125,
029,366,077,533,580,100,350,162,091,359,570,552,185,459,206,789,422,606,720,
944,182,330,689,785,544,439,370,037,670,248,258,127,325,115,862,183,758,536,
663,806,923,254,236,494,871,100,494,503,050,195,849,700,946,811,494,260,919,
989,308,826,125,237,130,780,001,421,571,857,874,800,904,114,338,753,180,980,
146,930,132,167,003,042,734,645,170,452,730,623,653,399,411,648,747,418,866,
988,501,832,905,468,651,663,062,155,119,528,767,864,067,490,444,194,941,460,
647,714,034,108,867,968,142,549,768,186,101,178,776,328,615,784,364,709,983,
245,194,070,996,006,374,819,017,593,629,700,818,842,743,093,882,132,276,673,
974,856,710,847,883,089,886,975,056,145,724,415,789,592,300,628,150,903,851,
784,335,906,114,910,415,018,028,531,046,943,527,975,387,980,868,026,230,911,
116,962,792,336,421,240,408,697,783,297,253,946,650,343,831,623,966,050,529,
311,661,215,711,074,952,970,434,818,214,242,452,755,645,944,243,370,404,786,
172,769,628,066,084,967,014,182,338,256,447,789,446,317,465,966,674,840,124,
230,162,256,612,597,447,128,932,991,278,304,861,484,549,780,566,007,494,866,
643,244,847,360,679,476,386,180,929,317,351,119,816,484,246,308,723,197,889,
359,575,581,806,950,278,498,420,129,607,210,457,047,196,660,198,985,784,621,
916,562,661,314,318,469,646,806,595,157,742,772,926,192,767,737,922,625,176,
452,977,141,706,763,469,225,669,500,414,149,681,745,071,863,339,692,376,097,
838,348,441,745,361,050,837,402,651,486,018,724,997,184,125,623,449,017,591,
966,592,302,843,232,724,762,473,335,865,044,173,773,695,076,871,127,334,779,
536,382,986,530,094,980,298,661,385,853,679,612,433,196,988,274,938,663,896,
984,515,170,013,033,689,615,650,724,817,950,513,673,537,733,565,952,475,706,
934,544,203,792,186,128,092,979,381,357,134,403,425,048,134,300,728,484,855,
004,914,822,113,852,511,752,967,153,590,917,711,999,127,952,207,615,838,666,
177,169,289,690,817,041,854,960,946,659,510,693,761,081,060,514,900,010,779,
367,527,198,424,492,505,421,413,157,394,829,959,684,658,238,388,249,395,614,
774,882,916,942,235,614,156,137,601,571,164,900,550,854,084,324,907,699,522,
750,147,584,742,241,015,309,992,945,961,195,914,124,740,773,632,598,329,017,
584,425,977,563,388,179,096,143,560,035,967,606,358,797,167,194,946,084,344,
208,379,252,711,947,573,024,866,192,345,210,555,850,004,004,994,285,494,704,
722,740,003,379,914,977,723,226,613,245,831,830,073,621,204,555,677,602,989,
872,029,673,911,098,967,048,003,949,862,490,243,098,445,478,735,833,398,335,
838,077,041,680,812,214,994,028,023,181,202,644,240,331,768,653,298,379,216,
495,084,638,493,467,775,627,909,361,905,069,928,874,431,053,546,540,474,070,
782,195,326,176,474,762,858,517,201,031,265,903,505,902,083,675,791,322,978,
959,135,184,642,467,657,087,955,179,208,104,907,266,445,667,169,535,074,039,
850,247,639,583,370,893,754,284,614,432,112,807,862,542,996,199,483,436,136,
635,211,313,997,832,391,447,075,358,393,480,215,907,575,698,390,719,653,959,
431,589,989,770,890,881,982,546,687,291,856,744,341,037,394,218,215,159,806,
041,805,772,142,259,800,428,848,661,011,116,522,711,553,416,557,183,164,544,
937,863,889,108,081,462,778,787,155,368,964,134,430,450,989,576,520,861,647,
670,758,077,471,583,956,442,906,045,242,130,833,969,957,116,185,644,848,490,
302,152,458,032,974,648,143,099,290,508,408,543,758,295,097,198,626,436,136,
156,529,603,905,860,071,765,556,278,432,492,226,331,267,115,313,866,523,355,
837,864,136,043,327,761,258,866,848,133,785,826,526,616,360,144,029,323,929,
377,802,715,595,703,325,529,060,790,335,518,561,410,469,525,077,314,442,459,
725,511,184,460,798,327,297,596,156,970,185,814,951,788,543,949,230,335,352,
008,307,867,976,932,129,898,354,902,259,358,779,013,004,011,210,510,375,896,
712,914,656,285,935,662,518,546,913,368,086,095,340,356,430,332,134,436,633,
673,044,443,339,524,582,905,839,089,021,724,444,066,081,033,124,038,110,895,
446,046,110,584,151,599,981,377,005,002,213,065,238,305,216,617,440,544,498,
932,425,378,173,806,453,551,634,678,164,955,007,367,654,921,325,817,836,814,
515,107,679,217,132,571,453,942,388,089,714,757,607,846,437,817,874,689,315,
997,753,296,649,900,337,411,400,948,989,690,845,882,328,547,997,974,183,936,
587,494,885,938,239,440,002,911,018,769,097,882,573,707,963,871,329,389,943,
497,621,513,710,377,395,868,255,388,710,362,539,456,800,333,987,191,818,675,
129,467,585,757,629,582,140,183,559,702,828,768,016,224,791,226,084,634,198,
190,083,531,264,137,289,352,655,495,599,820,626,690,857,433,540,143,511,464,
786,171,072,519,748,216,787,335,873,544,539,898,777,685,565,115,576,884,987,
868,292,373,354,164,430,021,495,652,454,649,065,388,568,013,842,781,781,435,
595,491,086,907,628,951,768,713,088,615,767,326,834,491,689,150,328,118,283,
751,228,199,811,739,657,990,558,428,172,765,393,546,452,653,039,445,207,856,
047,369,868,493,963,911,245,444,654,747,538,661,641,229,124,035,800,889,627,
116,711,219,682,601,704,674,248,149,145,249,942,771,186,378,576,157,384,923,
744,566,942,092,190,253,413,773,703,678,722,120,594,082,999,136,407,978,559,
947,737,891,301,591,364,960,489,598,927,645,187,155,561,936,913,095,354,915,
749,750,230,416,888,385,204,925,041,380,243,808,178,697,730,474,073,373,412,
387,753,558,976,426,560,559,793,148,771,025,301,968,934,552,893,688,748,468,
790,445,110,355,684,311,274,336,180,085,294,038,949,357,204,429,542,386,298,
150,444,117,793,958,347,691,528,252,396,069,954,409,426,963,754,632,203,888,
590,296,092,068,116,574,402,226,129,531,258,902,952,659,604,953,207,827,415,
487,736,057,809,931,557,947,236,968,095,535,175,542,982,838,150,316,021,128,
179,986,771,008,010,397,565,586,546,649,441,982,793,630,287,962,645,352,284,
623,879,901,236,572,806,151,581,701,148,689,105,821,174,074,453,720,981,618,
184,850,272,125,100,874,921,554,137,019,352,078,102,013,260,694,064,728,352,
116,002,905,014,585,224,153,279,261,680,955,904,417,845,249,577,587,713,739,
503,422,195,268,126,550,141,505,092,476,071,651,427,552,327,987,513,875,603,
203,165,105,185,801,991,353,967,019,272,702,602,029,227,721,965,316,777,822,
178,189,078,110,450,600,209,521,068,249,959,014,518,703,215,969,051,552,743,
681,000,985,174,788,956,631,233,243,536,108,774,730,352,747,200,501,323,269,
499,505,378,138,554,478,860,032,032,984,430,159,903,711,977,245,728,960,178,
309,250,532,748,872,309,769,437,920,327,985,830,830,115,250,691,233,016,421,
620,107,741,539,020,276,214,371,486,877,723,370,634,939,087,151,430,458,385,
555,053,741,151,399,144,419,002,345,119,604,562,967,293,041,457,429,207,092,
208,753,630,845,444,268,409,207,152,323,202,995,511,130,015,034,448,407,350,
027,034,196,109,671,750,566,944,383,721,844,166,190,173,662,180,618,802,279,
142,880,535,465,821,680,227,143,479,296,367,736,800,733,430,888,144,174,128,
859,523,992,477,751,505,222,255,245,250,910,921,575,028,195,640,975,749,971,
251,637,249,036,473,406,992,719,943,083,814,167,180,391,630,624,648,836,640,
725,436,580,680,253,303,678,188,164,594,446,369,866,059,946,889,513,345,620,
823,166,503,092,376,791,683,439,397,550,443,786,944,510,394,789,825,087,918,
177,756,014,459,866,011,411,130,858,796,080,212,639,625,086,844,778,320,462,
542,710,728,534,257,874,240,739,838,572,750,895,713,634,539,348,976,933,351,
271,432,681,992,175,864,442,350,798,651,818,989,831,984,723,497,543,260,806,
315,885,483,877,294,496,164,831,245,120,199,701,125,424,955,305,294,422,638,
441,021,597,545,412,237,634,385,373,892,964,952,956,143,283,998,361,900,587,
032,662,826,772,144,946,956,489,820,055,563,742,144,049,225,672,459,643,627,
738,251,029,196,793,578,070,535,401,375,707,677,416,055,855,942,536,493,429,
727,579,421,961,605,186,113,129,108,717,103,134,637,919,031,997,108,806,666,
931,146,815,221,574,794,343,692,464,614,784,279,429,389,399,022,278,878,534,
756,891,168,934,946,102,656,700,008,146,834,306,798,583,248,067,450,629,105,
793,380,648,643,605,496,593,362,392,522,036,415,268,062,296,505,623,317,587,
534,858,897,422,725,914,743,430,770,860,421,421,362,313,939,686,235,574,532,
358,919,390,826,102,731,405,263,012,505,065,245,218,354,473,099,163,711,038,
628,964,597,604,088,116,587,144,147,616,113,455,510,556,657,601,748,489,934,
654,883,053,342,691,379,935,333,638,249,104,018,208,261,575,822,055,036,454,
067,084,554,502,338,228,623,706,700,696,002,444,639,352,063,806,223,105,825,
024,604,461,872,899,448,242,692,940,203,342,385,995,670,426,696,534,673,658,
959,149,472,430,292,698,751,122,728,539,164,076,005,298,591,814,649,866,068,
230,442,076,553,672,341,445,048,919,778,693,108,860,411,284,830,047,080,372,
364,047,928,190,333,161,747,184,680,999,042,815,552,320,118,365,475,251,568,
219,046,060,017,184,185,860,588,078,017,366,279,893,771,807,704,745,417,759,
598,998,358,584,748,506,467,292,845,465,687,230,518,138,415,147,328,211,226,
982,390,376,014,349,922,118,797,500,478,830,669,859,824,236,746,538,761,434,
187,400,279,765,507,750,905,133,018,751,624,834,214,530,512,937,040,738,480,
334,027,112,469,140,522,608,102,545,668,334,728,546,942,863,724,922,766,710,
933,947,937,749,131,653,150,652,163,857,290,647,814,967,282,505,292,215,095,
418,334,913,668,936,538,472,495,653,109,359,415,371,263,725,940,690,698,162,
074,231,014,254,848,589,361,587,306,186,385,729,071,159,410,444,803,294,621,
238,411,881,865,692,485,571,525,853,247,386,435,646,034,039,141,904,576,393,
585,855,738,809,327,600,979,291,661,678,142,827,308,890,308,471,837,403,619,
372,919,639,009,662,449,447,659,450,063,979,107,975,840,430,263,912,070,810,
449,883,201,858,918,838,337,546,598,558,626,932,424,663,645,210,091,553,915,
436,136,664,567,418,853,747,647,458,855,389,672,362,516,193,426,406,599,318,
285,339,797,624,265,927,842,474,911,528,379,640,862,492,250,219,293,045,811,
368,084,666,841,843,930,428,112,670,334,249,859,325,503,160,405,520,524,408,
276,509,382,834,140,228,124,124,131,132,011,786,128,873,547,639,512,907,904,
851,669,141,069,993,702,800,930,088,800,693,225,158,888,946,628,652,094,874,
946,915,312,989,609,566,616,705,421,766,742,133,903,739,067,130,271,203,059,
619,782,430,098,272,186,758,077,887,383,925,937,385,869,187,804,281,784,116,
901,406,536,814,431,289,827,343,684,223,958,632,045,183,151,159,769,834,291,
968,543,223,065,883,102,166,442,956,385,476,294,841,253,155,088,278,373,731,
250,269,155,091,675,739,839,348,079,566,643,388,337,175,429,354,857,176,653,
446,585,475,464,139,642,550,406,728,711,191,989,503,537,282,206,463,932,135,
562,249,181,054,289,433,788,616,830,999,422,485,297,230,518,479,871,358,176,
468,475,102,253,332,276,986,012,199,618,715,523,095,007,069,381,378,613,868,
518,916,627,492,554,093,172,763,382,684,248,027,423,162,607,656,643,142,545,
714,761,852,989,229,773,878,009,096,349,489,423,533,525,812,261,825,662,621,
165,993,232,862,405,863,908,876,434,858,727,756,536,087,589,262,508,478,411,
328,517,632,766,152,848,828,794,701,764,418,734,876,265,793,421,609,709,415,
336,713,195,926,149,508,424,397,330,254,776,527,875,409,109,328,692,865,800,
225,107,045,461,989,046,921,311,498,167,083,484,788,219,344,285,940,350,342,
926,075,133,840,947,441,661,976,673,013,762,727,115,738,350,012,087,171,808,
785,047,316,075,467,591,631,051,880,881,716,315,698,262,505,733,650,352,985,
806,164,110,777,795,108,407,747,936,478,116,411,557,633,609,223,183,321,525,
759,187,579,229,874,953,060,176,258,495,938,100,639,227,279,102,622,968,667,
016,330,760,329,579,038,038,854,762,198,265,696,444,651,179,874,923,320,677,
529,896,694,116,323,868,180,266,506,498,708,650,654,228,569,227,327,620,358,
425,855,416,623,683,030,628,649,126,720,903,521,832,307,262,368,324,752,099,
760,161,974,968,505,083,746,082,732,993,265,012,382,319,894,473,393,084,506,
646,361,800,358,359,386,130,543,305,027,027,933,862,625,930,323,863,930,698,
985,768,730,812,056,000,431,708,066,347,008,185,835,365,421,089,652,356,997,
153,428,799,985,681,992,401,299,487,848,265,675,372,006,555,054,669,786,549,
469,601,099,129,943,651,206,125,932,599,799,636,072,201,574,479,304,308,985,
082,882,585,874,563,415,739,678,758,382,354,553,038,657,895,802,153,956,832,
012,539,344,419,597,430,320,265,775,488,101,194,007,471,080,659,254,806,082,
168,113,191,672,645,617,830,631,733,288,179,989,095,807,610,981,891,603,980,
492,340,463,905,930,140,669,601,593,274,030,721,223,538,364,247,474,901,914,
114,005,479,113,588,011,607,181,853,210,014,653,826,750,290,322,106,571,977,
935,011,879,035,579,113,115,202,984,902,005,499,949,983,236,254,536,451,057,
750,279,511,251,440,228,640,781,634,283,649,221,770,495,819,010,858,026,749,
161,487,660,627,682,470,357,426,484,509,840,041,378,379,649,758,448,079,920,
739,398,544,251,693,399,865,392,061,130,542,243,779,311,395,993,740,132,806,
229,287,451,651,961,758,241,707,785,996,822,141,854,902,394,870,407,603,068,
215,736,874,503,479,162,010,685,064,439,640,705,758,997,249,494,977,638,880,
342,970,833,729,264,808,626,658,951,268,665,456,381,161,692,560,271,617,706,
460,596,281,850,364,061,537,517,099,236,334,157,658,830,324,599,393,343,321,
837,881,578,234,924,692,840,306,138,294,915,775,717,961,111,866,410,234,136,
784,754,746,057,470,881,987,483,577,939,804,945,997,585,576,755,647,639,159,
138,661,711,738,161,003,404,911,200,110,199,551,229,588,287,124,329,453,012,
298,641,129,767,664,663,834,490,220,007,476,492,438,758,162,382,495,921,967,
656,944,476,221,620,562,093,656,495,248,573,201,492,946,073,695,583,545,544,
185,528,039,076,036,532,856,198,140,528,114,392,658,809,423,151,108,440,786,
990,492,019,376,938,783,609,473,656,381,888,524,248,392,404,526,940,728,586,
856,028,217,242,613,325,812,645,787,957,468,831,774,683,996,228,692,882,335,
472,823,767,449,868,753,134,630,256,042,324,760,133,509,197,336,161,961,789,
407,441,962,951,515,256,180,771,455,935,722,794,623,357,836,587,588,158,809,
843,800,832,489,084,613,795,550,038,536,801,399,076,397,963,166,595,279,606,
793,278,929,102,547,176,820,726,288,937,538,089,865,198,867,482,881,770,158,
551,023,426,004,500,287,476,025,944,544,487,743,924,097,121,361,003,155,546,
823,096,859,426,881,592,609,055,790,050,310,098,642,082,778,017,328,778,653,
850,174,796,186,652,043,109,759,205,097,078,526,843,490,348,722,560,510,136,
156,401,836,528,291,499,752,612,880,494,989,394,954,531,091,985,157,878,734,
836,492,511,357,800,768,785,100,904,771,358,817,083,437,146,214,850,906,362,
729,904,967,786,766,490,579,688,602,360,863,623,747,660,729,431,659,632,323,
282,390,030,621,398,032,648,862,150,708,387,442,076,126,007,537,927,714,608,
214,282,125,313,675,082,750,596,195,368,978,990,039,712,528,929,039,147,252,
250,486,308,158,810,848,170,315,341,881,276,435,383,198,056,341,558,546,620,
672,892,015,399,015,031,301,926,526,462,228,557,201,671,905,389,685,788,053,
904,086,138,525,098,826,043,575,617,006,262,823,713,143,620,320,830,506,690,
386,427,198,549,379,516,687,510,911,335,959,354,395,993,476,049,812,919,511,
315,173,826,608,245,660,628,390,079,633,227,622,274,920,525,436,297,269,426,
587,798,361,284,509,804,839,521,971,433,889,729,614,629,934,085,240,177,333,
135,556,030,470,753,742,027,445,381,720,971,998,937,199,823,575,895,980,415,
832,053,499,282,659,317,086,730,008,093,282,002,011,242,319,489,187,192,878,
039,810,836,081,080,097,134,460,321,555,576,410,723,362,047,699,635,809,181,
489,250,030,383,029,021,985,161,270,789,227,584,500,891,413,029,858,303,680,
806,938,927,024,367,071,840,301,901,833,957,613,201,501,437,649,850,904,644,
491,738,873,019,128,597,870,595,880,346,743,117,853,423,622,747,488,067,932,
986,825,852,833,733,356,707,920,630,899,293,510,567,479,784,315,906,513,135,
568,164,506,024,573,038,846,699,904,871,954,352,708,030,832,555,250,802,817,
059,517,510,077,578,651,383,050,816,506,727,303,377,982,255,898,142,320,838,
871,159,605,189,840,038,266,256,149,809,212,259,414,870,170,280,769,570,197,
680,070,977,702,786,833,760,518,593,544,846,992,759,343,297,097,788,739,311,
381,442,251,381,649,488,291,077,012,973,568,604,741,226,397,650,517,995,579,
979,646,422,682,088,138,040,278,745,889,013,302,834,560,304,918,904,569,238,
777,678,957,032,663,362,673,528,808,628,081,727,242,553,286,218,221,979,282,
964,399,083,942,198,199,295,481,917,149,196,148,333,152,047,235,116,087,385,
582,380,330,967,769,621,441,154,208,808,136,096,752,795,563,344,476,542,798,
243,438,273,301,360,711,058,737,077,975,877,144,163,073,710,542,381,383,300,
825,483,007,272,251,650,796,809,257,691,391,509,260,698,534,583,392,264,540,
000,945,510,173,735,797,820,424,114,536,987,929,315,941,073,392,927,945,567,
812,617,978,907,487,471,175,496,281,117,136,561,608,890,091,971,954,046,263,
009,278,337,145,237,493,220,632,212,179,224,853,559,711,892,476,618,168,819,
852,469,223,267,242,432,118,255,448,933,840,177,081,440,551,414,802,640,409,
486,203,843,755,699,514,899,319,750,433,359,720,901,636,917,633,526,404,356,
741,479,488,683,132,852,184,372,486,541,059,530,656,163,563,787,629,256,982,
052,265,960,621,405,479,482,355,060,568,187,191,207,525,140,932,789,057,805,
849,113,695,929,788,688,442,913,044,013,586,662,419,044,264,984,336,103,827,
845,490,345,622,135,030,206,823,443,189,902,342,366,629,610,141,176,820,343,
531,050,224,367,767,319,574,222,640,113,025,064,220,912,566,057,503,116,788,
970,898,394,961,581,126,466,258,560,314,666,879,302,679,692,886,120,169,227,
069,655,427,015,337,375,983,440,941,265,816,719,575,315,738,571,423,397,152,
272,599,037,832,362,483,711,800,782,520,570,905,018,569,781,371,756,212,336,
520,012,958,310,166,800,008,351,612,242,721,871,817,634,377,123,550,744,873,
677,244,306,000,238,847,597,457,937,122,096,250,681,947,935,835,306,269,776,
069,115,838,524,641,189,060,028,001,726,951,285,275,016,685,157,334,704,754,
643,690,788,303,076,022,558,841,789,857,633,343,739,443,186,923,984,295,663,
934,752,745,046,259,745,883,323,279,967,837,793,754,018,609,135,104,945,365,
382,368,609,429,155,469,353,405,124,610,284,868,255,982,211,342,222,208,885,
671,238,860,767,342,788,669,286,942,538,421,327,758,787,194,350,651,002,627,
570,238,544,586,144,854,738,585,412,098,194,556,728,946,994,034,008,046,210,
051,696,490,247,556,861,232,238,407,360,509,493,855,540,462,823,823,774,732,
996,604,499,571,411,063,479,890,750,601,138,696,838,273,158,280,289,034,949,
104,628,338,839,538,414,103,652,105,495,705,758,803,113,050,578,434,498,345,
730,580,714,301,496,117,086,219,414,027,938,475,320,876,874,621,785,424,403,
333,425,597,243,257,841,326,036,401,919,043,486,234,733,078,479,692,380,858,
146,447,406,729,262,751,295,096,308,035,362,688,737,138,068,192,434,834,540,
114,809,370,452,666,864,909,178,862,293,703,075,443,757,264,750,780,858,009,
170,768,502,496,659,015,767,547,680,795,774,049,882,465,390,738,096,565,431,
237,446,021,888,260,470,440,800,367,834,476,361,849,470,741,792,293,123,800,
435,548,812,593,476,308,629,680,840,734,830,617,606,517,172,386,570,048,052,
855,997,390,878,230,064,206,531,529,606,958,048,938,859,869,437,654,660,481,
931,458,881,221,122,486,473,006,690,018,019,019,172,279,062,141,738,597,567,
104,121,369,021,132,763,182,602,080,614,299,848,475,223,350,023,876,073,201,
120,161,794,497,119,327,744,322,329,264,056,794,617,847,645,131,502,917,668,
102,694,408,815,239,853,553,373,052,507,086,581,407,105,223,490,035,088,548,
850,258,540,941,663,563,920,168,842,234,664,120,870,367,221,872,962,961,840,
268,327,307,822,013,105,898,447,657,304,281,832,415,156,268,055,525,735,869,
074,147,800,957,058,027,019,744,054,759,631,120,165,608,056,502,790,306,126,
539,511,513,013,145,092,072,066,169,664,539,613,517,335,806,965,375,430,861,
107,487,247,902,747,597,088,432,636,955,005,299,521,653,545,082,946,408,798,
215,119,725,594,229,132,910,828,499,187,692,294,623,846,331,364,302,825,051,
006,252,144,362,338,851,959,797,354,882,181,489,447,833,949,964,239,041,573,
600,381,093,222,976,515,924,637,765,736,589,199,217,539,307,542,579,309,257,
269,638,424,982,259,671,876,936,661,662,271,579,772,188,908,644,921,298,251,
640,273,614,250,857,500,870,826,576,790,685,878,176,332,656,680,192,350,779,
447,961,210,428,370,865,941,742,627,072,405,203,834,960,569,616,986,266,459,
786,575,742,098,953,054,037,352,005,148,720,240,240,633,456,349,392,177,171,
132,762,321,357,614,916,492,681,350,553,111,677,765,992,532,185,595,392,653,
928,828,904,521,193,775,583,358,237,025,197,212,590,240,704,074,563,392,418,
372,780,245,327,370,804,390,036,955,200,023,491,767,793,575,994,631,750,940,
606,860,673,319,500,341,321,879,430,159,394,048,814,911,763,239,096,497,650,
192,370,722,318,396,835,215,760,431,393,817,519,478,514,230,136,099,327,562,
166,807,964,015,916,651,634,577,857,574,988,043,863,418,894,762,426,059,403,
022,541,484,508,059,706,213,223,699,677,901,344,699,394,904,940,626,278,128,
327,042,079,817,354,363,306,612,560,457,454,292,158,270,998,456,335,833,954,
800,094,321,360,450,280,234,556,730,815,916,952,336,202,627,905,519,983,776,
843,121,707,695,320,571,003,381,822,943,383,174,818,270,938,436,160,167,757,
300,369,336,367,459,621,225,674,561,451,649,957,505,817,497,293,119,521,603,
881,382,467,204,030,112,978,169,271,120,894,588,057,884,322,519,459,006,754,
508,864,619,485,784,295,874,740,426,981,626,939,917,715,317,082,181,444,624,
061,259,441,554,544,150,329,728,448,369,195,803,882,356,614,583,617,403,469,
621,995,691,902,812,560,368,311,979,408,951,354,603,228,120,443,067,470,680,
324,325,555,749,112,274,364,615,948,507,006,377,131,863,457,494,829,235,442,
021,793,423,324,195,078,031,966,693,892,760,655,933,713,440,053,980,685,799,
013,972,456,495,179,513,033,024,888,037,575,371,551,367,682,193,262,317,746,
417,227,602,523,097,092,713,774,990,273,699,479,341,112,070,299,723,407,771,
643,863,007,645,573,127,789,237,197,576,263,180,541,775,222,804,139,703,606,
333,022,735,103,133,415,401,782,239,261,366,399,249,609,664,197,185,546,816,
300,880,276,515,234,166,098,720,655,893,359,176,870,438,847,170,131,033,985,
865,364,523,475,655,936,839,606,434,009,604,653,203,100,931,953,096,229,145,
651,472,184,539,918,224,897,887,142,813,909,410,292,392,924,245,442,084,464,
370,978,972,198,170,008,458,162,568,690,920,725,237,077,532,161,005,233,691,
589,963,954,992,938,664,753,722,130,957,326,721,222,183,275,473,971,257,422,
237,773,695,550,214,128,413,371,162,767,722,741,998,863,152,575,276,202,741,
934,206,068,188,019,422,955,559,938,027,749,711,216,495,926,711,826,747,891,
686,587,199,713,690,085,590,393,782,930,324,684,762,901,868,698,924,589,384,
547,553,056,531,481,024,943,993,322,918,447,303,743,938,901,735,871,488,835,
222,510,619,036,695,261,846,219,231,788,244,568,314,567,815,062,235,612,618,
741,168,880,955,286,461,466,785,503,752,519,757,239,843,264,015,073,453,905,
415,705,397,789,114,911,413,498,532,634,419,565,331,831,343,845,842,478,960,
780,598,380,191,810,514,256,016,778,937,421,173,426,835,091,885,546,842,013,
478,121,274,663,130,983,771,838,687,022,895,176,156,050,716,488,503,859,829,
471,408,749,625,595,327,008,336,969,179,181,586,303,661,103,712,995,890,511,
203,581,330,083,994,727,770,455,789,906,952,359,235,751,565,994,965,102,155,
449,631,341,169,722,249,607,366,670,267,208,185,126,539,860,449,121,177,249,
418,673,331,055,575,756,434,721,708,473,129,315,461,670,628,567,988,792,415,
616,955,169,786,879,264,212,952,532,221,458,421,999,367,837,946,767,753,780,
964,685,746,870,536,678,266,144,399,293,388,588,468,333,410,418,644,213,154,
509,970,503,394,474,016,074,515,093,800,756,368,007,601,451,822,012,042,743,
727,854,607,395,333,029,350,802,409,759,464,582,467,915,977,108,521,123,012,
890,497,782,691,686,241,787,370,891,975,701,773,864,144,746,469,794,147,496,
494,083,147,957,008,506,725,665,035,380,572,127,798,625,256,057,905,473,214,
717,150,782,864,323,685,835,251,280,616,067,687,502,311,182,054,018,690,278,
548,697,863,164,847,146,328,258,652,232,927,392,163,327,293,159,778,855,912,
634,277,870,623,360,786,463,993,367,692,313,338,487,361,139,362,036,513,659,
652,191,808,347,880,192,315,788,491,727,420,162,199,420,064,157,035,427,182,
224,850,990,082,532,424,051,568,616,945,778,182,190,893,558,773,459,726,579,
288,856,029,640,586,168,756,516,146,209,348,700,138,698,654,532,161,324,526,
983,504,938,505,227,052,016,512,575,024,315,797,680,417,950,326,291,787,510,
124,715,471,633,148,338,969,482,892,056,310,182,631,859,168,881,473,223,063,
354,614,194,225,472,937,725,484,242,294,515,605,052,427,360,513,764,112,946,
769,748,131,724,673,880,749,068,820,249,632,594,938,577,591,191,521,565,729,
910,019,883,689,328,967,156,302,347,996,072,687,192,036,293,140,303,183,007,
864,235,641,056,488,806,346,968,437,342,531,939,981,511,617,706,757,966,523,
351,718,930,919,836,112,937,449,715,254,654,000,656,840,761,037,650,585,184,
086,826,441,571,161,250,350,631,189,826,850,830,873,175,919,593,693,666,729,
699,680,534,974,764,732,300,819,748,071,264,253,943,818,730,790,306,569,446,
267,816,254,954,542,099,839,062,128,861,364,690,210,771,334,922,553,166,671,
190,617,704,646,518,822,728,803,709,533,036,193,531,958,556,709,331,881,904,
172,240,326,001,064,475,878,995,906,409,521,745,690,573,276,639,108,523,842,
694,796,529,889,845,222,833,893,690,385,154,178,555,917,952,834,950,988,046,
855,182,080,417,234,480,597,307,867,041,795,453,503,626,981,084,780,227,480,
878,075,464,341,699,497,925,569,234,691,651,606,699,822,398,356,014,939,604,
868,548,400,129,685,236,547,766,692,723,800,395,626,102,882,622,102,559,648,
186,149,064,385,842,145,402,732,571,587,349,254,473,849,025,433,527,954,739,
807,999,491,517,155,751,897,956,395,304,202,344,667,123,849,164,458,875,326,
062,176,032,294,699,886,059,559,224,989,348,078,437,841,812,814,277,949,494,
380,102,807,281,879,510,234,475,084,948,878,342,703,589,606,540,656,406,766,
129,288,316,211,930,115,864,002,908,541,829,297,266,575,478,920,535,981,807,
907,436,767,306,320,692,207,471,356,331,862,751,028,736,207,120,786,867,194,
010,171,246,186,144,815,577,248,850,104,592,997,486,901,228,623,241,128,017,
495,281,414,876,742,950,839,830,845,242,340,676,677,634,418,369,919,957,193,
977,796,853,295,551,938,861,235,183,667,213,903,428,167,698,101,937,245,117,
268,485,399,895,586,979,890,327,441,843,735,963,581,639,884,780,569,321,166,
354,437,010,660,050,933,033,298,941,988,915,747,128,551,623,288,337,896,264,
755,755,010,578,087,735,891,544,777,603,885,160,375,798,112,266,624,441,133,
222,694,392,123,763,606,292,035,058,574,675,991,761,694,334,189,068,479,945,
565,348,694,838,218,321,425,636,104,901,084,591,215,857,072,120,637,016,130,
234,709,441,157,509,168,606,034,269,900,054,124,557,875,603,078,042,760,859,
377,004,213,233,203,595,400,477,805,013,981,574,670,103,667,448,733,285,013,
536,188,177,597,974,156,753,128,221,643,519,943,728,428,298,505,368,790,634,
129,243,843,695,579,368,435,012,648,984,279,129,581,898,902,038,483,744,451,
815,577,115,989,743,024,247,399,361,061,228,243,712,527,204,468,841,062,445,
222,795,885,955,608,199,317,318,403,826,819,720,171,106,209,456,247,023,595,
399,179,167,710,600,594,534,410,946,681,807,478,139,646,446,584,092,725,961,
639,895,524,539,100,471,994,814,123,157,760,501,845,002,395,429,258,853,835,
088,559,126,430,839,983,915,479,141,720,099,587,163,569,206,764,678,568,461,
958,249,147,982,801,657,112,003,733,081,450,680,576,318,584,960,884,426,382,
076,959,380,198,389,688,342,265,172,680,378,003,708,130,675,526,129,893,078,
951,149,692,784,323,531,689,968,667,379,304,182,630,757,107,870,457,589,548,
343,373,389,484,150,761,471,424,608,092,053,540,887,935,748,719,903,394,479,
160,511,020,342,053,122,924,403,616,118,453,768,462,090,970,158,738,188,457,
355,989,832,963,410,080,294,105,255,090,425,369,405,504,858,132,329,076,954,
184,543,861,992,177,580,557,191,196,384,723,996,086,309,289,397,476,696,874,
798,850,062,657,355,572,190,043,496,182,262,058,989,761,430,223,587,849,109,
482,263,765,684,741,910,442,582,453,313,976,964,490,402,024,163,497,676,628,
597,967,099,129,453,176,982,070,016,934,347,387,739,421,995,603,502,864,779,
120,087,001,546,469,777,377,161,804,020,876,501,724,344,222,816,189,784,511,
352,576,816,310,670,128,516,971,829,780,591,605,166,584,089,301,121,175,329,
821,217,115,341,484,786,034,157,432,865,092,738,097,745,327,990,581,096,949,
282,909,548,681,959,748,245,220,825,488,950,726,414,015,783,016,608,122,386,
710,493,764,547,461,380,679,879,424,557,545,432,275,748,453,454,652,438,398,
088,756,964,159,645,418,527,138,632,480,162,529,421,051,758,352,680,932,658,
151,016,422,310,293,633,705,821,700,447,067,588,708,101,493,152,696,587,397,
402,432,094,746,847,311,738,612,825,858,444,225,275,485,887,700,488,451,044,
580,617,848,618,160,830,396,905,428,854,519,652,576,149,661,285,051,401,911,
592,671,998,724,090,436,148,633,723,188,359,102,874,534,213,225,747,315,491,
160,705,707,062,409,252,054,831,531,647,542,628,557,148,990,188,954,882,151,
484,137,740,360,124,970,048,123,591,671,906,910,340,792,794,741,946,537,317,
587,772,802,538,915,849,439,822,915,698,724,506,775,403,935,988,350,125,617,
530,200,499,898,950,348,686,548,365,322,216,121,899,727,036,246,737,586,735,
346,147,753,479,025,283,748,305,172,792,366,843,537,627,102,574,698,906,068,
614,643,929,854,286,765,592,143,070,637,198,791,044,044,243,177,783,606,469,
533,135,142,862,465,919,016,368,306,381,715,878,499,558,050,754,941,670,420,
605,663,762,249,523,162,617,025,355,641,453,852,934,897,701,047,967,019,675,
775,948,663,387,775,962,110,659,971,901,569,530,488,962,915,250,249,100,782,
529,075,928,082,053,485,088,206,921,051,528,848,069,188,490,514,477,042,140,
016,858,935,139,358,944,096,192,395,790,242,384,806,699,846,918,109,410,345,
306,377,022,939,803,699,444,828,040,448,915,736,792,568,245,643,153,680,466,
395,136,030,980,876,180,764,742,837,583,843,248,743,798,385,394,513,864,560,
362,274,135,407,511,360,946,888,901,477,616,877,052,253,202,110,771,947,851,
876,081,247,935,315,854,169,878,100,247,170,152,528,651,486,057,357,369,785,
488,785,309,656,217,020,253,256,152,493,212,015,156,636,557,995,169,510,480,
412,410,547,014,387,351,955,824,990,674,212,930,087,137,513,715,933,411,057,
026,617,014,006,011,945,363,166,230,367,692,922,509,978,585,727,389,063,086,
859,567,062,837,158,714,197,167,033,158,082,687,697,448,546,868,920,315,481,
947,337,291,727,389,881,750,938,546,010,968,309,528,554,100,097,902,746,207,
966,758,019,098,769,614,212,452,602,435,329,815,334,116,468,591,328,434,387,
293,631,255,986,909,037,361,729,482,650,457,908,948,018,191,876,033,721,138,
381,183,141,692,665,264,371,790,159,581,065,986,105,282,353,825,081,056,435,
531,657,209,198,525,684,367,384,649,085,515,384,568,402,244,726,893,438,595,
778,237,452,701,406,229,905,609,367,447,291,858,060,028,614,946,541,335,850,
301,739,515,978,631,686,999,320,201,559,596,150,600,130,025,910,374,508,514,
804,043,110,627,213,055,047,117,038,521,372,600,850,273,678,422,051,377,182,
397,816,181,483,558,614,807,788,764,601,946,094,062,116,131,568,907,763,300,
497,539,928,962,705,503,702,790,875,279,262,730,897,912,287,862,803,532,025,
519,614,398,336,531,886,492,414,661,708,993,498,119,904,040,978,262,489,122,
173,518,559,853,267,430,168,731,139,570,124,034,678,721,489,924,932,836,655,
055,730,570,968,047,222,454,040,719,337,208,308,936,728,563,033,716,599,784,
497,882,958,493,269,165,691,914,036,278,811,307,334,735,954,738,421,805,649,
221,935,503,711,024,840,637,407,862,408,146,066,226,372,945,655,387,867,645,
717,423,820,979,813,493,065,617,606,940,197,867,541,758,995,223,408,380,449,
711,715,292,570,428,903,888,344,347,427,611,114,338,533,987,811,163,662,187,
670,113,644,270,384,085,530,580,404,892,169,886,950,322,968,591,559,882,365,
460,666,194,729,390,067,762,194,333,453,164,836,147,580,232,964,600,947,258,
489,180,305,536,114,593,247,554,913,446,176,891,879,063,310,981,666,197,739,
926,755,239,290,017,099,144,855,761,899,711,384,276,435,263,222,312,938,708,
106,154,339,935,550,541,448,102,743,477,159,591,819,111,920,336,633,658,123,
771,581,918,798,852,270,982,068,018,660,086,715,842,098,570,157,394,367,048,
853,002,044,203,313,588,899,968,429,154,261,026,086,787,476,003,925,937,005,
346,338,074,981,675,310,704,980,469,436,188,410,017,451,623,044,899,197,115,
440,599,245,534,680,075,922,043,473,713,697,978,782,102,606,297,605,962,669,
803,057,172,674,212,102,492,188,705,425,323,048,869,159,669,323,212,933,796,
889,601,503,589,195,585,817,274,536,157,864,034,947,375,689,694,762,191,340,
499,083,609,819,550,076,493,781,632,746,249,303,117,470,050,911,844,847,692,
187,696,742,486,512,698,734,502,685,667,408,381,587,380,840,445,800,929,812,
771,061,491,090,140,040,609,318,111,656,154,063,858,342,885,347,985,163,396,
421,586,183,952,032,321,645,509,870,076,902,507,023,182,727,535,246,982,524,
109,367,528,720,613,315,068,898,680,349,175,279,661,287,855,899,788,870,372,
795,420,616,721,951,020,324,393,109,541,529,916,710,176,619,026,952,976,490,
781,810,899,730,331,953,799,310,413,777,528,213,755,784,505,377,975,186,123,
740,556,788,938,787,709,816,746,754,185,177,222,147,821,265,454,698,831,014,
890,509,134,675,825,437,535,164,125,452,437,083,000,812,833,523,802,872,844,
494,326,654,386,676,749,685,599,963,466,420,182,488,862,925,656,403,010,506,
481,939,322,953,912,014,667,473,298,644,974,122,616,968,041,447,080,899,207,
266,758,856,890,328,678,255,104,073,291,034,022,070,792,723,948,798,381,008,
803,141,444,174,070,484,261,076,876,832,055,014,699,327,182,100,094,785,603,
145,932,816,699,280,733,882,588,370,485,693,902,409,752,764,726,346,790,169,
044,676,891,454,774,771,284,648,115,135,732,502,909,172,873,407,171,472,106,
443,990,101,052,947,878,010,170,970,013,891,682,502,248,338,596,634,029,240,
500,270,239,210,908,770,703,802,036,673,053,339,376,611,650,949,423,193,396,
893,367,537,257,785,587,874,856,116,649,929,588,201,589,982,620,420,245,532,
624,343,578,263,704,580,244,695,362,838,722,004,903,973,938,889,111,021,278,
578,345,903,776,875,197,164,672,262,465,856,584,991,880,679,477,513,430,422,
524,999,893,446,843,434,909,844,379,509,497,442,539,602,255,170,043,475,367,
124,008,542,721,344,889,673,532,639,698,350,694,341,204,906,757,306,261,251,
504,027,064,645,225,445,152,651,934,826,363,171,524,028,059,192,282,193,080,
934,892,066,123,288,822,884,821,999,616,780,524,379,289,980,282,139,312,144,
656,203,312,728,459,791,680,130,595,544,004,837,940,202,300,419,436,501,243,
996,049,521,745,877,469,069,916,661,997,333,879,327,054,817,833,607,480,011,
460,001,756,974,333,300,247,767,978,101,166,216,184,884,296,357,550,997,613,
806,149,253,976,706,683,783,928,106,632,781,738,845,777,614,111,164,303,548,
574,613,972,535,241,791,206,484,564,464,746,951,340,305,397,172,181,760,734,
645,272,762,732,705,934,650,161,242,435,902,742,037,878,756,668,938,337,100,
597,851,887,291,947,367,684,486,748,452,851,740,628,424,394,374,865,738,282,
355,573,726,399,060,918,555,497,205,252,555,639,757,385,853,160,637,579,055,
075,288,128,713,620,028,438,794,109,144,118,204,943,431,813,935,161,836,239,
520,750,093,855,297,584,607,759,666,599,938,048,637,312,876,147,695,824,635,
332,480,073,259,139,908,896,701,503,609,499,543,556,925,995,814,344,450,993,
501,782,547,549,413,258,236,528,747,836,722,374,581,226,894,951,645,474,681,
585,565,479,894,845,067,639,019,485,139,512,794,155,668,940,112,854,607,390,
827,939,044,498,406,282,915,422,549,360,874,069,446,697,715,535,010,701,783,
353,388,608,124,283,735,724,987,296,743,031,916,341,261,394,923,976,955,220,
405,926,874,428,288,842,230,196,737,018,272,174,449,031,483,693,293,498,984,
335,155,937,289,063,721,512,256,203,339,862,401,320,264,883,693,576,317,776,
842,706,977,066,427,612,708,690,411,426,294,076,003,480,235,071,807,987,966,
256,434,498,256,896,540,446,066,027,017,637,193,085,593,278,954,246,565,080,
633,573,328,605,473,657,397,689,201,525,781,129,021,611,068,523,931,258,911,
182,764,327,505,138,851,732,074,517,279,545,355,351,410,896,780,063,477,520,
719,580,170,216,980,065,501,821,422,182,394,759,551,072,226,932,132,757,690,
303,730,192,141,188,985,732,186,779,107,363,818,213,861,247,493,250,153,792,
723,153,937,726,878,849,217,235,760,583,460,893,339,060,346,040,928,815,043,
162,222,381,391,730,618,419,546,105,583,872,462,884,941,428,745,995,343,008,
552,097,936,585,341,848,653,555,366,042,785,061,253,157,688,573,801,150,394,
642,900,075,331,866,500,885,955,529,725,800,956,716,882,542,936,593,731,403,
626,812,233,499,283,145,968,706,577,953,122,093,617,560,200,857,615,144,253,
803,268,015,526,743,301,735,528,139,046,533,277,729,671,845,549,698,912,267,
970,971,317,983,690,654,916,696,246,512,731,750,196,045,354,679,015,094,667,
879,935,844,876,601,951,612,547,411,509,358,539,633,410,673,959,467,572,680,
122,202,541,949,396,569,625,296,808,966,060,041,831,143,820,665,510,197,384,
608,331,304,876,867,905,728,604,770,675,856,714,706,114,838,027,940,453,037,
046,699,271,938,429,075,620,243,837,944,660,405,038,358,212,413,351,503,879,
893,140,311,423,761,916,152,824,195,030,717,960,822,052,035,810,877,425,691,
605,129,773,042,465,079,346,633,983,199,439,263,073,801,140,255,493,347,850,
983,903,527,486,211,940,727,076,335,248,886,845,925,053,190,646,966,631,771,
123,678,443,663,414,579,853,881,425,513,768,610,721,385,968,963,738,485,969,
387,985,555,466,434,640,561,132,759,109,620,181,342,706,922,206,979,569,412,
817,772,447,272,111,531,250,043,059,980,527,786,133,652,289,740,848,866,602,
636,563,480,143,656,335,340,600,130,287,626,083,954,788,103,466,482,403,759,
241,013,835,759,030,495,093,847,944,680,996,857,749,596,345,901,571,614,025,
919,455,605,498,110,291,855,147,967,846,550,081,629,552,915,522,810,289,622,
830,434,781,265,451,178,888,344,848,180,919,515,521,104,914,623,657,055,976,
340,045,041,435,183,268,071,233,986,371,742,533,615,675,734,409,284,899,321,
166,165,231,873,673,223,466,995,979,309,000,235,813,514,747,807,554,765,598,
022,160,205,075,514,358,686,717,570,636,127,806,753,457,759,830,264,898,426,
228,254,223,621,806,938,795,182,220,073,170,025,603,368,425,708,938,858,151,
358,932,566,323,949,982,973,213,383,504,082,742,162,188,066,342,335,529,965,
596,058,165,789,952,997,528,263,199,229,265,899,593,595,729,621,468,200,214,
109,834,404,885,860,144,760,393,326,119,880,507,533,861,452,359,994,019,062,
786,635,715,885,090,669,092,826,300,320,080,473,687,928,156,769,861,952,395,
734,953,429,036,441,088,644,539,754,300,350,689,946,865,388,878,512,930,397,
371,527,418,730,296,979,633,335,937,888,527,565,739,649,583,585,609,189,152,
486,371,041,790,069,579,321,616,720,196,058,044,043,553,626,052,265,298,448,
275,176,491,660,313,725,351,902,382,878,836,959,240,879,841,828,768,926,175,
000,180,600,675,319,672,089,829,467,993,087,671,085,467,100,484,322,465,595,
063,887,479,931,489,999,370,453,297,594,405,071,794,641,555,564,497,097,142,
518,494,011,068,660,481,737,237,980,266,711,649,485,729,478,397,172,698,446,
255,938,574,373,597,149,866,295,101,176,799,907,838,636,232,843,419,379,885,
274,481,794,060,115,102,954,617,703,329,286,737,220,664,449,611,559,597,671,
723,778,900,734,670,421,239,335,986,715,368,035,865,031,961,279,940,433,898,
676,457,780,602,067,857,823,536,624,289,307,183,043,841,860,682,975,314,440,
770,556,011,419,822,045,922,534,215,602,444,679,593,240,981,044,771,808,734,
164,036,300,585,294,235,389,000,057,330,615,708,076,205,119,907,282,810,378,
247,311,182,450,809,692,870,370,355,720,482,885,276,714,260,086,211,473,388,
496,998,188,195,400,583,155,528,865,240,484,917,413,046,950,284,294,211,070,
642,264,718,601,279,276,204,998,425,402,517,278,029,547,127,219,380,847,128,
004,132,674,009,344,351,494,643,427,287,631,892,469,072,585,570,062,808,928,
923,758,941,812,148,497,940,276,919,213,906,232,382,925,245,165,218,639,456,
779,659,756,841,282,766,439,445,945,873,482,156,255,008,124,226,135,956,746,
093,647,338,928,694,793,903,764,352,626,392,212,238,911,271,521,453,002,206,
807,311,349,279,021,045,012,417,108,608,876,451,251,039,669,157,543,408,406,
069,985,516,011,702,264,611,824,825,654,792,063,608,685,750,280,932,502,405,
378,939,640,940,066,786,486,444,887,702,067,476,260,095,263,736,911,642,488,
747,792,270,640,100,878,078,034,974,858,247,107,636,551,240,813,098,022,824,
207,952,914,914,427,577,168,001,140,701,242,781,247,158,446,829,347,260,095,
663,201,604,105,325,011,907,304,823,091,303,119,021,112,833,054,698,196,624,
392,240,652,727,081,078,395,614,419,295,802,264,791,408,396,191,070,763,235,
331,635,537,286,000,247,311,822,445,168,566,894,244,108,452,089,653,148,412,
839,123,133,922,561,072,454,792,263,087,061,567,523,162,894,548,210,648,567,
134,579,368,556,123,751,393,872,637,025,440,366,107,384,362,890,690,541,916,
449,885,309,413,368,680,085,146,592,453,355,075,377,078,746,248,875,788,654,
245,724,678,880,187,172,168,922,062,079,713,856,848,295,769,442,295,763,407,
051,036,753,178,885,533,069,004,907,101,487,275,192,504,903,269,276,831,375,
946,017,915,264,621,700,503,778,057,388,119,204,000,909,003,757,642,342,478,
315,324,367,495,958,809,660,945,566,373,019,134,562,013,934,619,130,160,030,
182,886,576,641,373,466,135,043,761,699,788,328,805,175,710,743,365,935,962,
435,315,362,452,701,614,246,454,796,426,379,910,477,003,819,403,117,821,099,
217,498,091,099,926,292,756,345,704,391,746,391,562,067,858,147,375,995,769,
148,582,490,191,500,695,482,467,515,129,641,535,586,678,096,225,331,373,963,
695,534,749,248,970,373,793,465,182,613,479,866,005,921,058,460,531,089,110,
095,895,770,508,191,745,098,802,802,296,674,929,210,429,914,767,775,424,773,
936,781,440,483,827,155,704,131,004,180,909,367,211,213,277,416,126,738,392,
059,351,474,950,408,298,097,485,071,289,192,523,907,592,797,563,573,949,562,
532,529,101,915,728,326,757,636,256,557,545,210,786,729,031,158,791,401,144,
834,862,243,082,421,808,866,000,407,176,668,890,426,948,213,542,428,730,157,
918,869,541,625,126,717,014,008,433,965,207,532,465,041,484,641,217,696,310,
073,216,576,397,638,431,759,528,645,200,731,022,634,979,268,354,235,859,092,
097,037,128,055,710,660,093,493,310,885,246,609,682,752,130,504,533,969,395,
208,984,545,642,360,381,721,495,400,358,935,732,764,246,163,011,892,101,833,
999,173,551,796,841,402,987,471,247,508,063,618,796,796,186,576,713,997,868,
416,079,172,412,605,803,351,967,136,969,200,577,451,611,263,849,278,982,914,
701,816,931,117,103,658,580,213,888,664,001,287,279,234,821,101,116,820,145,
321,114,215,901,216,528,948,319,247,146,634,073,387,354,977,207,015,179,369,
641,726,472,768,832,108,856,466,191,103,364,372,377,263,939,255,858,208,110,
309,077,740,973,393,619,833,642,427,893,545,240,193,898,814,791,574,892,932,
204,187,464,869,727,631,886,432,303,110,667,937,134,415,455,556,871,138,425,
458,084,846,028,950,106,592,600,650,772,280,250,664,021,271,711,054,965,748,
071,346,490,701,345,959,030,351,112,533,531,908,837,528,031,128,063,920,354,
926,417,455,108,142,503,454,475,664,744,077,675,237,605,928,315,089,276,147,
646,456,739,385,378,361,033,676,851,475,081,676,858,987,951,306,988,187,573,
441,533,011,293,907,902,705,768,728,103,969,965,102,693,485,462,664,330,201,
214,194,270,142,663,034,411,651,404,985,278,053,343,684,656,663,396,113,405,
873,307,216,336,151,403,712,222,943,567,017,565,851,499,563,774,124,257,489,
642,345,588,130,140,343,325,307,787,831,659,212,907,519,061,972,020,839,981,
044,638,704,597,909,405,421,268,439,308,167,614,329,742,752,156,915,458,710,
318,783,034,806,349,507,911,187,940,365,660,915,398,506,286,080,772,679,616,
642,330,495,861,381,868,867,378,289,502,782,663,089,245,024,715,172,780,202,
068,255,556,613,874,294,555,169,501,329,640,001,458,537,045,059,611,206,220,
496,416,853,423,024,661,567,341,043,350,538,747,437,773,018,018,731,623,052,
920,572,843,776,918,970,171,763,928,161,742,305,644,531,346,327,214,756,867,
021,428,435,455,891,649,057,186,823,485,781,384,961,322,347,756,484,550,152,
358,497,344,593,734,013,114,718,528,918,382,257,545,742,045,927,987,785,682,
135,399,445,492,254,552,024,876,503,627,322,867,559,672,555,768,701,957,222,
271,816,803,820,141,944,670,937,122,774,494,824,573,133,120,058,014,719,574,
958,418,661,692,204,945,148,998,757,571,092,009,175,677,397,776,564,865,554,
110,186,159,541,872,413,271,336,051,987,318,019,005,407,074,473,021,475,672,
485,395,442,461,950,406,600,031,477,052,648,117,525,326,633,675,289,561,205,
559,578,113,276,867,557,888,540,787,720,597,864,491,755,663,565,637,799,682,
075,174,001,022,054,719,449,183,400,283,995,107,000,742,426,890,810,060,046,
773,505,430,472,316,222,502,689,572,622,953,707,124,723,938,479,027,180,767,
237,138,606,717,506,173,604,301,614,426,639,165,725,195,024,346,441,171,815,
421,282,227,765,128,956,592,899,204,732,135,635,470,520,431,544,727,865,564,
158,974,230,700,306,776,855,467,489,899,816,451,026,700,143,891,010,601,649,
189,920,386,872,198,487,301,503,219,731,803,273,398,889,482,824,959,296,672,
285,837,473,215,219,560,414,599,308,390,230,337,085,874,867,817,210,736,801,
817,156,300,761,484,752,162,210,087,601,834,163,975,393,021,367,646,327,760,
184,718,666,174,477,888,699,800,436,640,310,881,147,740,888,171,036,229,233,
468,186,845,922,738,498,695,253,346,795,725,263,847,071,767,805,894,136,451,
724,250,152,456,451,457,200,118,957,959,190,606,047,762,204,991,633,929,858,
407,260,269,801,751,369,025,016,019,811,031,363,958,001,208,448,124,171,637,
570,023,162,799,414,151,253,174,473,352,637,766,810,546,608,165,759,788,954,
203,103,462,096,471,278,753,652,349,697,922,616,711,793,166,757,752,988,913,
460,809,132,581,324,555,559,075,702,122,854,259,365,359,454,370,428,285,771,
007,642,597,564,032,135,889,606,879,826,719,826,576,205,123,757,717,970,325,
838,822,208,431,361,009,609,800,661,093,824,549,797,860,092,711,237,757,747,
771,444,247,842,477,549,120,382,611,765,571,355,587,456,461,139,191,764,499,
101,786,846,170,831,927,034,771,705,600,353,263,522,310,300,716,052,643,159,
477,367,277,191,862,914,791,623,187,032,001,235,476,833,222,171,040,904,218,
603,635,277,103,550,221,940,204,976,947,850,135,775,786,027,022,636,113,524,
460,183,845,862,951,701,403,388,445,194,358,638,465,978,769,319,787,103,838,
022,942,095,537,240,442,133,093,314,991,376,854,523,463,743,418,773,444,015,
581,931,239,122,853,993,312,390,345,923,074,308,138,130,139,300,007,975,699,
178,175,673,907,595,879,493,843,378,916,570,416,895,571,330,236,211,889,631,
267,847,419,130,242,276,349,578,604,289,913,812,978,027,230,022,112,689,443,
766,928,739,131,111,424,828,967,420,521,413,397,904,991,957,875,460,167,736,
400,485,188,083,419,945,570,609,427,607,395,121,045,697,618,499,490,625,051,
671,847,664,754,347,576,848,294,800,377,266,116,103,953,028,575,745,495,217,
249,561,081,264,195,150,331,207,554,890,176,639,052,364,206,168,412,010,600,
199,158,771,090,976,670,797,061,588,548,802,767,296,095,858,378,331,362,568,
971,661,549,301,949,612,380,448,248,945,263,611,043,465,794,755,911,626,286,
312,045,058,983,057,655,531,013,032,828,633,065,928,477,700,015,851,062,507,
144,612,883,147,743,546,459,592,054,016,453,578,314,593,468,862,963,223,371,
116,432,502,635,275,451,036,136,494,070,566,198,908,404,303,267,416,251,093,
078,598,970,414,865,296,940,420,994,473,900,406,108,589,713,572,911,459,637,
860,429,619,718,379,791,013,052,003,486,640,923,865,016,461,090,116,759,483,
219,072,197,786,304,007,268,125,744,470,247,992,408,403,454,034,940,375,962,
863,240,806,023,791,060,942,903,635,597,282,290,165,324,703,420,428,963,112,
862,294,438,820,265,756,925,383,023,799,305,753,388,882,141,417,173,872,463,
082,282,220,271,275,049,569,018,757,439,373,069,292,688,191,025,843,640,097,
378,140,382,300,839,889,329,696,048,751,802,992,669,878,902,852,664,462,705,
855,196,379,629,320,882,051,655,628,059,941,967,559,505,074,687,477,905,064,
676,256,355,531,668,077,521,928,718,902,864,591,434,137,747,234,109,222,346,
666,341,667,027,023,179,183,784,342,725,820,881,448,306,216,187,716,697,846,
896,622,445,436,088,302,267,145,400,626,886,950,417,535,924,587,353,737,587,
253,420,885,649,008,248,043,209,696,317,991,370,491,997,991,272,616,362,070,
326,290,772,197,279,021,333,944,276,016,667,381,232,094,180,472,155,620,974,
489,872,370,954,652,854,622,539,300,492,711,316,316,729,891,424,504,371,397,
709,069,405,194,555,313,503,196,382,276,953,829,902,740,215,774,667,367,235,
928,175,099,061,058,521,308,743,087,853,913,917,828,654,023,748,043,187,112,
225,095,948,387,841,054,355,656,050,867,812,905,055,641,736,873,241,252,105,
755,263,078,080,943,277,817,020,576,210,545,004,098,392,543,710,559,991,549,
541,568,824,427,080,740,735,643,504,676,126,872,397,659,310,260,151,197,732,
127,212,692,405,155,236,315,255,522,944,876,907,075,010,013,160,776,853,886,
738,624,117,649,461,986,062,213,132,088,202,797,964,447,625,747,745,976,014,
695,837,991,174,298,412,602,717,515,512,712,536,476,674,359,956,118,003,794,
866,976,697,827,591,960,260,837,465,032,332,877,533,498,453,666,273,478,703,
886,327,761,967,766,461,943,240,424,325,886,244,200,863,409,624,036,577,203,
622,690,163,369,977,183,750,313,937,580,227,282,520,528,668,168,589,376,649,
906,499,846,810,914,930,949,617,699,906,211,534,939,357,845,668,356,933,726,
897,616,886,135,159,820,064,467,641,230,000,943,234,689,574,922,694,357,396,
611,158,103,768,854,211,411,540,844,931,487,657,651,526,926,750,457,232,524,
924,147,964,852,063,391,153,584,464,921,302,114,540,273,792,015,755,576,819,
626,956,160,776,402,003,113,584,538,016,425,759,390,436,190,093,755,106,203,
192,607,906,101,604,755,195,461,674,464,517,022,597,641,644,817,757,409,933,
385,547,136,792,629,269,083,579,432,205,930,826,127,808,897,097,765,447,406,
915,252,475,707,477,101,947,458,375,162,662,711,990,331,043,201,967,198,116,
276,900,257,242,201,398,888,136,968,780,167,302,603,811,897,594,066,267,657,
553,279,084,310,887,037,540,334,426,588,286,415,966,384,581,724,302,927,556,
976,288,060,011,925,346,450,622,452,936,928,047,758,844,995,784,610,312,831,
390,714,009,497,819,408,596,356,595,560,074,840,691,059,304,477,290,546,034,
776,313,654,261,728,378,815,472,642,551,532,037,101,798,855,462,436,345,626,
071,856,618,869,982,007,894,243,895,970,058,669,636,895,187,041,063,280,030,
538,923,942,520,664,642,919,732,044,143,840,335,488,352,916,461,600,326,949,
016,667,264,636,232,803,524,281,296,358,475,903,168,011,748,033,054,258,775,
028,398,874,247,084,877,646,050,734,681,933,851,538,762,390,185,710,256,597,
262,260,059,177,402,941,188,643,935,667,840,021,332,087,123,134,548,699,874,
003,536,654,064,171,611,180,986,902,139,815,251,098,815,046,539,983,419,833,
742,673,816,139,764,146,244,807,790,994,428,766,964,285,378,669,012,434,476,
635,441,682,550,886,984,482,606,296,187,794,029,659,910,542,055,271,969,432,
913,147,494,467,183,403,830,544,005,582,150,714,878,958,720,368,451,695,128,
767,065,335,153,643,899,246,685,577,384,424,757,951,590,737,347,160,870,689,
125,100,361,467,870,069,065,423,615,144,848,873,575,787,844,175,600,670,035,
082,977,482,755,842,113,143,612,787,115,487,669,795,931,992,737,351,128,014,
641,876,289,458,087,881,424,130,310,841,791,297,339,231,314,165,961,505,509,
383,720,915,143,421,820,222,547,061,812,574,343,226,967,601,008,759,721,643,
933,503,907,958,999,838,393,591,304,866,319,056,846,962,441,610,471,911,896,
556,469,939,704,526,378,810,476,619,089,062,174,468,428,353,772,723,045,751,
777,859,701,458,832,414,314,204,992,913,478,799,010,699,825,336,376,430,820,
633,108,413,626,833,020,679,034,943,992,727,548,365,226,073,901,153,157,358,
870,366,332,137,241,094,006,509,504,969,020,602,416,768,955,998,567,522,842,
041,664,228,488,231,039,586,957,349,062,911,991,069,623,094,076,032,943,643,
299,667,428,893,013,319,819,441,701,621,291,974,389,912,794,283,323,364,840,
866,023,947,642,489,405,478,640,547,775,356,395,077,085,124,170,696,936,685,
659,067,679,622,249,240,633,903,808,766,750,282,638,900,166,235,442,705,382,
397,350,775,221,590,319,603,101,759,797,673,111,799,655,154,289,349,942,127,
906,532,890,023,473,241,681,220,899,726,155,478,095,293,073,805,241,808,487,
497,231,109,832,301,437,658,099,688,502,908,997,798,611,662,261,387,480,330,
173,627,782,852,487,136,476,095,267,295,230,144,851,603,642,056,872,236,959,
643,041,317,933,709,811,969,359,680,899,933,293,562,079,128,128,793,360,427,
888,659,180,159,201,015,562,221,919,673,935,588,179,606,113,315,875,702,533,
176,205,727,078,055,508,672,238,832,993,161,737,928,113,790,136,310,315,334,
108,750,013,076,106,244,033,733,199,859,514,234,100,458,144,121,220,720,117,
343,451,044,720,741,072,326,265,705,288,486,084,822,962,627,232,714,050,776,
219,287,909,676,515,632,794,593,406,757,021,633,342,705,296,866,330,218,803,
708,147,906,016,206,705,087,260,733,894,595,206,223,591,939,591,014,274,949,
476,641,034,231,819,981,520,622,273,455,316,758,257,626,969,495,191,941,726,
273,020,620,487,038,412,452,904,462,136,375,978,855,842,114,533,460,655,440,
655,572,500,374,668,282,456,953,157,778,373,964,958,039,898,657,108,186,813,
984,592,433,325,121,237,858,098,437,166,930,939,851,138,703,099,676,962,552,
646,219,403,413,210,698,895,267,069,492,784,043,693,488,908,271,485,419,277,
402,097,235,568,299,239,459,960,512,689,390,482,469,140,225,284,160,746,216,
571,291,237,932,168,886,902,323,570,067,395,897,737,013,560,395,497,192,105,
010,065,707,384,010,855,843,414,563,503,029,785,386,542,663,068,659,927,076,
604,075,946,127,869,200,726,699,595,011,324,882,569,102,126,780,066,874,059,
391,959,765,514,961,548,824,118,114,212,940,536,680,956,145,258,333,414,528,
363,373,219,622,186,146,238,417,460,155,539,647,464,240,066,211,440,370,406,
435,440,101,713,241,450,968,020,683,440,939,398,975,474,549,167,608,696,243,
640,355,872,787,692,373,753,644,478,327,223,880,321,588,270,740,951,082,802,
145,162,961,482,423,303,123,515,671,365,822,756,154,682,122,027,286,077,984,
321,046,670,860,592,270,014,854,090,337,370,009,330,130,459,871,203,766,909,
484,490,236,510,907,898,423,933,781,790,785,187,482,139,746,977,751,354,956,
960,164,105,458,000,992,231,514,429,376,724,348,353,761,270,854,427,076,840,
987,348,419,123,532,169,623,301,474,417,802,420,640,898,233,471,414,040,464,
671,885,831,811,595,598,291,807,242,288,134,400,923,712,481,568,978,206,197,
622,167,784,111,742,808,673,421,314,825,407,930,644,908,340,130,896,966,258,
251,626,739,985,372,640,226,903,997,428,626,542,333,190,712,217,635,227,364,
641,861,278,743,243,626,976,217,454,214,879,054,328,745,939,989,245,155,968,
529,617,924,209,930,621,298,669,646,274,784,536,277,456,571,851,564,109,591,
000,892,658,379,743,959,105,856,414,530,695,876,820,180,306,465,267,772,071,
848,464,691,054,953,528,542,568,548,189,209,430,714,442,124,364,484,584,689,
629,223,196,070,942,125,315,777,266,426,407,653,336,459,674,896,516,755,184,
516,488,864,664,944,778,167,488,410,195,625,191,837,920,176,390,589,772,355,
064,745,814,066,251,096,976,597,344,689,844,838,036,736,736,258,436,382,398,
090,492,961,017,672,473,806,716,857,641,970,062,448,520,646,752,156,382,878,
188,936,598,793,380,199,272,961,641,734,521,943,274,504,688,475,416,849,932,
373,852,336,537,958,420,636,384,191,032,863,106,121,252,759,278,187,720,931,
258,520,558,126,149,927,958,524,006,092,510,834,308,762,504,899,769,850,307,
134,948,870,102,643,899,546,479,920,577,030,258,738,015,452,286,165,068,403,
784,452,819,045,193,239,467,244,258,400,386,297,469,992,618,662,287,048,525,
647,586,327,850,554,880,736,718,475,322,375,455,317,451,001,222,794,648,473,
974,330,305,244,560,298,373,908,222,313,329,489,667,220,233,190,084,219,210,
812,200,330,559,707,578,611,879,071,345,780,396,533,859,479,584,381,577,533,
572,734,285,032,796,591,284,167,550,571,888,676,223,006,190,695,056,189,434,
663,914,293,127,457,847,770,987,071,989,327,753,771,007,669,824,411,808,740,
961,499,486,137,977,114,628,101,439,191,982,128,431,576,434,661,350,083,302,
377,825,270,959,986,821,276,364,190,320,464,671,721,668,235,217,240,956,298,
241,759,245,765,151,646,906,031,992,749,066,256,128,188,758,127,351,770,763,
563,115,335,278,953,686,973,199,151,868,374,613,965,617,126,048,543,384,158,
369,296,507,399,101,722,060,786,885,291,322,325,385,108,204,497,058,287,595,
054,286,471,013,202,553,650,537,621,221,605,442,019,974,481,640,556,494,740,
755,694,297,480,007,433,833,711,887,800,750,885,199,387,974,417,535,692,284,
424,287,427,953,597,688,534,500,790,889,866,268,532,590,800,180,873,340,114,
250,902,154,037,113,707,359,328,165,648,769,799,103,750,810,589,955,327,632,
841,880,505,722,165,905,113,683,136,855,235,884,949,223,769,638,566,732,384,
657,262,391,619,889,865,815,983,103,449,034,535,399,462,418,704,491,926,322,
857,300,792,763,488,750,580,483,729,171,143,228,582,943,668,118,730,112,336,
774,489,570,905,009,816,147,783,433,620,041,143,598,467,308,069,141,187,335,
072,626,768,918,462,582,706,127,170,889,447,379,606,079,574,453,219,756,847,
005,964,476,744,730,008,508,810,465,473,897,857,880,717,667,865,581,290,774,
473,405,531,635,069,227,685,513,100,418,845,454,418,961,147,985,688,357,951,
542,612,261,675,208,334,550,044,443,729,534,056,108,463,862,507,847,998,932,
394,632,944,275,105,212,286,398,800,308,395,429,333,350,177,056,642,815,008,
162,767,486,890,831,607,256,934,063,506,939,438,034,456,661,327,030,912,402,
462,874,203,569,693,491,398,460,334,411,987,671,286,077,082,904,184,866,758,
892,866,368,489,946,076,865,193,839,619,970,708,315,238,506,314,709,829,659,
218,601,300,786,861,871,557,864,671,014,812,308,399,117,948,455,421,830,215,
395,099,233,490,075,628,605,696,657,806,316,295,646,982,329,223,357,208,184,
990,747,055,946,833,469,947,136,274,294,440,012,596,250,973,102,202,810,460,
313,121,179,252,996,002,372,341,480,699,413,430,716,147,978,859,859,253,234,
338,975,766,108,321,346,863,154,200,245,569,101,473,901,122,191,148,721,426,
835,410,004,409,467,983,184,330,586,657,388,943,164,506,662,454,913,818,811,
208,213,152,549,008,682,479,552,698,720,592,202,214,764,531,636,305,933,144,
475,745,997,926,673,397,079,868,356,448,207,411,140,604,709,683,039,121,351,
670,661,772,601,976,101,464,103,962,178,184,474,686,862,061,575,542,490,079,
149,195,749,373,069,336,145,772,871,577,904,491,461,664,673,676,442,578,914,
558,961,264,315,204,267,665,670,551,728,065,736,915,964,191,543,062,930,725,
601,690,150,695,433,341,552,464,287,338,732,925,884,202,693,544,060,973,769,
967,230,683,730,370,584,329,300,851,375,915,214,550,462,659,638,649,417,894,
411,329,345,247,364,944,618,589,065,255,481,904,584,226,035,249,228,000,601,
444,306,840,689,528,953,225,766,397,087,000,483,591,068,757,281,111,846,651,
700,491,243,970,104,861,773,173,410,055,840,702,324,906,864,203,001,205,692,
587,501,362,860,713,796,149,372,842,073,790,619,783,329,948,034,020,846,810,
868,115,933,747,044,404,899,167,569,106,628,060,058,834,052,631,042,008,523,
082,799,317,096,785,231,718,790,864,242,651,747,698,045,230,436,569,707,174,
722,107,997,934,450,804,062,242,441,494,010,602,159,981,165,671,146,906,506,
083,758,909,170,032,142,692,156,042,885,900,023,354,581,681,835,485,410,953,
136,007,098,785,544,071,098,101,319,119,455,002,148,720,235,098,072,180,833,
103,186,215,562,379,678,426,551,117,879,630,715,455,434,122,537,615,177,784,
509,629,250,780,562,491,428,762,042,081,143,591,619,975,262,551,141,897,275,
192,037,822,204,890,538,585,070,455,036,556,829,630,916,305,150,858,770,046,
334,095,064,278,980,570,699,785,469,075,627,922,744,622,120,827,902,127,906,
508,917,667,075,425,183,071,118,142,361,385,040,714,032,444,286,268,748,965,
396,605,581,141,702,696,016,964,458,574,357,559,880,579,738,924,709,068,296,
702,627,827,238,499,950,811,377,120,387,346,776,901,727,594,332,721,707,877,
880,940,532,879,813,123,633,588,613,940,242,862,792,415,959,570,030,620,559,
992,877,896,953,830,498,467,512,068,949,959,653,079,227,208,903,875,960,739,
061,967,926,385,496,338,965,306,298,213,145,835,278,796,421,318,799,617,636,
986,029,358,717,380,230,180,203,830,657,959,847,810,249,047,574,946,060,342,
761,392,729,865,494,316,719,174,844,145,068,347,425,231,509,190,660,390,107,
141,099,242,625,740,740,651,243,689,531,160,112,108,839,703,351,093,757,226,
741,415,338,634,743,559,728,255,693,364,624,560,118,010,121,608,964,050,623,
981,688,451,827,741,312,564,742,777,004,143,019,484,508,867,492,328,160,790,
635,904,156,343,917,850,216,020,679,126,800,028,972,324,583,872,259,370,396,
317,232,896,667,791,202,322,041,032,183,388,227,539,850,132,792,605,643,532,
472,009,044,181,639,335,137,360,495,831,497,503,301,433,029,615,985,403,808,
861,793,803,792,483,066,025,528,768,723,927,990,332,578,216,391,630,777,757,
961,639,292,856,070,779,676,523,716,388,229,027,931,886,397,194,494,795,503,
068,450,227,635,421,213,751,180,375,608,212,337,713,537,673,919,595,768,537,
289,504,384,708,995,279,487,554,260,327,976,781,898,181,294,018,430,445,721,
707,958,690,520,715,851,234,587,754,104,706,365,847,261,732,088,880,225,402,
603,511,901,064,516,571,792,982,060,548,151,541,276,171,614,261,590,425,921,
935,200,752,196,598,656,757,370,578,283,579,823,167,370,869,428,582,458,371,
864,240,047,641,858,795,949,927,763,685,049,894,144,601,806,932,530,894,132,
330,646,749,799,107,377,968,761,158,852,566,003,317,076,686,736,802,715,731,
097,862,764,349,231,211,860,504,155,332,855,252,442,432,292,834,238,207,178,
790,385,840,069,310,320,174,735,541,702,885,321,406,571,078,017,866,493,862,
033,516,539,437,913,644,721,572,573,201,152,373,301,397,571,423,100,530,597,
294,324,268,047,347,171,142,297,599,774,983,443,407,448,365,493,996,032,021,
153,597,304,617,468,610,449,291,308,869,088,816,398,391,416,155,650,505,321,
164,144,861,708,157,980,876,879,830,240,333,107,934,240,120,199,314,537,580,
603,164,591,742,589,047,525,232,600,360,540,653,461,029,787,666,029,128,411,
539,010,531,978,899,380,511,215,100,287,955,271,970,081,378,335,347,133,227,
438,910,581,812,905,538,511,734,616,725,254,528,635,754,245,191,631,468,413,
181,756,147,264,993,284,672,447,885,124,848,205,803,482,678,656,789,052,670,
286,006,410,887,711,662,289,263,097,260,766,158,494,032,663,798,009,173,196,
581,859,085,117,778,961,617,836,852,163,057,416,759,234,724,813,616,198,321,
289,022,314,625,579,291,555,321,450,714,179,193,222,047,912,573,698,403,284,
690,626,716,986,027,452,658,555,050,774,893,614,481,243,378,415,047,713,872,
216,349,339,371,661,119,153,265,460,033,974,153,910,811,849,929,417,534,864,
152,940,047,987,688,648,264,520,887,163,212,619,271,044,567,999,327,764,528,
645,272,272,779,099,329,942,179,794,438,970,907,189,186,063,626,980,127,776,
557,048,346,787,553,465,083,127,560,532,854,024,525,813,855,990,583,364,989,
010,765,835,284,173,168,320,327,432,552,400,670,535,285,278,987,593,578,489,
213,932,322,713,677,255,525,333,246,967,868,870,679,300,614,201,078,582,105,
388,813,351,353,995,795,214,338,471,569,355,631,560,549,919,109,742,884,480,
617,294,166,716,949,268,789,517,401,321,510,640,656,284,952,456,831,734,501,
965,237,681,255,249,679,175,215,067,268,497,554,937,052,607,217,376,730,455,
829,054,653,148,908,424,126,097,801,071,480,586,744,952,379,971,354,336,832,
417,108,532,147,528,660,378,585,258,429,909,841,276,706,956,447,478,752,573,
126,472,312,688,257,610,275,653,473,640,679,584,472,908,696,432,087,739,714,
500,097,698,972,111,544,638,099,522,763,808,915,621,427,437,814,147,256,461,
271,096,688,548,823,582,377,074,446,030,182,646,046,136,398,038,818,101,429,
572,585,024,401,902,094,627,606,402,216,848,919,819,702,665,187,778,947,667,
919,790,109,238,856,161,925,105,373,039,620,707,326,952,336,615,918,674,650,
504,771,333,440,021,497,543,752,663,129,984,273,746,107,785,916,940,492,480,
252,104,843,747,811,626,103,305,537,531,010,700,399,369,509,284,877,564,610,
342,233,896,225,157,326,137,370,522,556,955,222,599,499,696,620,586,408,139,
087,752,343,390,546,544,356,581,492,576,340,068,700,071,446,933,602,846,877,
262,014,510,382,010,433,612,395,436,582,096,764,364,126,523,955,736,712,472,
751,306,782,283,104,135,916,978,079,605,003,835,218,427,309,738,032,010,458,
743,072,142,395,410,492,266,149,068,734,646,647,046,657,257,986,853,412,073,
359,745,218,552,118,171,671,175,363,335,680,695,890,421,925,201,548,993,686,
527,900,714,596,128,094,359,738,435,118,586,082,609,297,761,260,043,377,317,
837,090,992,850,163,823,589,559,036,287,625,704,222,192,093,649,796,495,388,
182,460,222,690,406,587,630,488,092,362,904,376,640,062,731,114,054,658,093,
168,832,906,093,121,030,154,008,390,925,838,441,969,592,186,715,306,643,040,
318,134,063,502,926,841,558,014,102,354,405,122,951,662,286,438,552,408,665,
657,179,574,984,368,782,174,869,328,224,235,517,374,747,307,535,362,598,618,
330,367,536,655,808,578,017,047,237,586,877,581,887,504,156,027,466,796,103,
701,364,791,332,323,658,359,256,675,729,300,868,317,791,306,423,304,484,995,
212,545,963,895,067,196,813,354,474,978,537,209,126,393,777,310,507,730,277,
735,366,071,162,435,006,455,729,519,801,704,131,558,729,128,881,540,366,686,
794,860,551,943,311,582,064,780,353,673,084,681,605,976,909,238,430,655,219,
616,858,636,760,053,834,040,608,775,788,937,377,329,305,663,349,592,186,630,
878,072,688,061,961,654,452,785,946,198,529,518,549,480,837,316,237,610,702,
017,451,252,936,184,181,816,205,930,938,231,833,522,073,703,377,054,913,144,
024,171,642,199,303,115,691,047,853,528,766,661,260,752,751,236,020,067,111,
811,451,526,338,701,517,099,773,199,316,039,567,301,358,358,905,561,059,685,
758,934,211,913,739,215,029,590,601,565,409,276,839,326,728,738,843,370,527,
950,305,983,073,888,227,298,840,627,760,396,342,858,488,245,996,357,011,859,
732,141,880,203,098,484,180,284,449,975,633,755,435,386,779,651,639,540,212,
480,801,539,881,548,990,160,367,157,291,894,329,802,434,048,599,951,492,763,
666,908,369,776,858,756,831,591,233,739,293,464,755,754,891,331,896,767,761,
308,947,824,826,921,040,951,049,142,072,202,285,229,375,346,997,249,128,434,
382,487,307,073,223,301,955,867,524,621,265,360,218,382,411,304,079,107,018,
693,720,803,184,447,230,540,497,015,923,504,346,298,641,062,213,494,546,615,
057,046,142,419,896,450,992,223,301,594,798,674,471,811,413,348,664,415,697,
574,893,424,180,553,097,796,774,305,613,102,843,611,052,776,108,683,754,780,
725,626,643,780,558,450,737,219,986,586,871,087,924,913,586,955,365,769,029,
651,492,787,149,745,469,906,267,755,588,273,645,239,560,081,453,619,553,971,
425,095,401,641,355,482,018,395,990,134,395,481,741,334,248,935,582,728,031,
375,451,888,888,210,641,069,341,316,655,851,197,923,153,006,513,266,451,010,
554,337,325,272,422,635,727,242,053,864,113,170,581,522,572,467,951,004,970,
566,279,545,337,174,208,196,306,921,909,011,683,511,945,161,027,209,781,917,
372,876,690,122,694,740,203,808,513,121,021,766,169,545,339,917,975,414,150,
970,619,840,021,029,329,183,687,393,485,922,268,392,763,357,275,529,704,859,
064,950,939,494,222,045,799,529,685,595,582,905,642,675,047,649,099,736,707,
902,833,595,329,938,423,971,786,841,087,821,152,938,608,514,695,516,421,699,
151,050,623,866,296,620,145,982,039,420,092,611,679,365,032,301,194,600,022,
018,244,387,459,930,031,742,102,500,668,309,127,931,988,086,852,572,140,787,
949,023,175,786,058,648,846,839,270,873,715,954,852,811,190,840,152,026,503,
642,378,269,221,206,804,951,117,152,807,807,144,474,768,018,964,149,915,365,
158,141,250,546,876,568,852,977,122,802,857,598,324,304,015,283,986,996,371,
314,639,496,353,925,549,173,461,890,419,263,485,193,948,196,968,660,461,892,
132,505,840,407,625,853,180,071,397,832,110,578,379,880,691,311,244,105,634,
465,645,063,381,630,049,523,174,396,873,762,946,321,856,014,716,869,658,683,
929,757,072,972,456,574,962,939,332,157,474,682,071,284,437,627,803,571,532,
005,005,824,785,673,783,428,616,905,631,828,704,922,004,646,785,900,854,340,
839,503,118,930,711,154,944,975,947,543,857,306,149,304,480,982,457,554,037,
305,079,873,064,315,512,081,607,643,170,662,930,108,421,566,111,913,804,632,
589,854,438,140,465,903,250,652,446,006,105,830,642,973,012,559,601,804,425,
218,152,319,653,774,831,761,163,975,832,927,052,019,513,224,313,576,584,638,
564,221,565,075,819,022,922,367,290,102,620,500,983,240,394,734,115,373,461,
809,632,902,239,295,721,329,689,292,314,854,409,616,440,929,315,244,679,120,
911,435,291,952,807,561,055,348,137,545,305,831,988,380,961,614,219,959,664,
956,337,956,003,848,321,157,754,190,885,227,912,991,881,232,063,932,310,910,
158,504,328,640,077,576,644,671,767,249,244,331,999,368,574,902,297,866,356,
840,935,002,443,358,771,342,378,172,839,559,007,810,846,844,267,178,332,824,
930,917,903,507,597,234,747,098,284,161,592,911,773,402,007,728,897,174,101,
535,564,130,982,494,328,591,793,497,787,407,464,711,779,662,114,681,784,742,
549,199,849,467,808,651,861,804,691,075,707,577,749,413,566,697,491,954,145,
589,225,207,013,406,374,126,055,193,195,836,508,937,960,040,637,640,340,148,
674,867,712,765,387,799,601,848,965,840,607,331,112,807,696,470,523,791,705,
730,287,983,856,433,086,126,540,173,595,499,350,442,155,709,514,517,760,879,
156,969,359,011,956,443,790,037,694,831,946,177,645,144,503,261,418,628,085,
639,914,997,247,358,357,485,076,382,955,066,981,254,873,533,839,733,137,913,
188,308,580,430,039,182,570,730,533,805,951,697,349,173,135,772,782,571,152,
493,642,868,884,487,079,378,598,703,778,219,184,683,924,738,145,070,448,517,
867,896,815,959,572,916,039,605,995,819,439,915,096,312,887,114,651,821,182,
313,222,728,153,110,912,166,020,720,302,161,367,063,045,727,499,040,986,816,
730,617,244,084,756,812,508,685,071,992,773,985,024,771,500,096,384,250,603,
153,140,464,083,192,298,531,678,981,532,027,725,757,337,117,402,521,698,507,
599,231,458,179,800,234,824,456,520,196,914,306,280,088,547,159,780,598,167,
987,137,117,888,772,320,277,274,066,259,259,868,157,087,970,576,874,526,325,
507,891,084,911,980,582,288,607,226,514,983,215,671,242,586,632,605,068,273,
706,232,401,947,146,263,591,690,414,941,338,279,613,186,120,945,949,241,421,
878,739,504,471,794,867,778,694,383,382,151,437,456,969,554,567,320,269,803,
198,987,232,415,524,266,329,084,318,367,521,330,928,653,685,426,888,249,191,
891,875,339,377,817,654,911,418,225,059,824,444,665,266,144,774,964,870,472,
302,888,498,603,075,504,354,181,736,076,357,221,941,146,343,604,549,806,963,
839,195,857,646,635,009,598,621,926,674,942,701,109,688,249,062,768,357,725,
680,163,849,617,414,048,329,688,714,929,657,424,920,558,375,719,008,066,125,
043,797,876,633,794,114,061,010,091,768,857,643,389,496,479,480,888,260,679,
071,078,404,400,311,086,522,643,211,880,731,981,019,419,016,230,590,607,458,
349,335,346,556,983,626,347,516,539,760,043,554,598,395,301,200,884,206,342,
596,854,216,824,973,393,822,364,518,178,732,645,771,509,183,400,126,412,247,
034,634,621,448,696,806,477,689,636,395,800,345,683,276,221,740,881,934,481,
833,061,554,174,428,479,463,991,834,312,546,024,708,997,487,989,996,193,287,
428,158,676,450,157,409,126,040,174,513,436,959,300,194,015,863,041,972,101,
012,979,949,811,331,618,657,414,059,496,864,455,784,157,873,447,149,719,166,
973,382,687,580,814,854,406,191,730,620,143,999,202,434,953,025,632,628,691,
332,063,719,590,954,090,593,340,773,907,464,319,037,918,377,789,678,225,528,
816,488,863,778,700,739,817,534,216,964,042,874,392,240,957,422,866,827,469,
560,832,515,112,409,630,398,965,739,926,499,390,981,755,857,421,735,191,979,
466,675,158,681,996,620,332,032,476,153,473,021,715,141,160,421,033,338,090,
255,581,978,468,342,674,969,738,757,886,106,754,069,840,378,611,802,587,464,
459,998,797,552,547,962,190,786,403,042,910,653,740,982,407,911,148,781,916,
314,378,598,146,255,611,344,294,514,686,842,853,075,127,432,672,716,688,535,
740,659,518,332,700,562,440,231,135,643,674,309,572,250,710,043,231,063,106,
658,441,596,663,902,174,396,563,425,567,394,503,520,477,222,685,974,481,935,
951,650,734,468,469,156,223,583,549,123,418,144,167,075,777,466,903,232,550,
708,874,989,037,750,123,954,318,409,602,817,568,760,890,922,223,650,009,913,
882,316,211,756,562,531,477,360,445,141,083,080,713,245,677,560,402,676,687,
780,125,112,429,097,867,585,981,607,493,225,938,837,743,091,681,858,268,248,
204,811,726,977,533,831,695,218,604,504,868,758,784,942,529,084,878,941,257,
872,155,185,397,573,869,183,750,277,323,080,470,564,550,088,606,240,737,624,
158,068,869,590,749,579,469,472,056,520,771,777,834,407,737,375,986,769,293,
041,068,599,142,770,934,209,112,784,997,421,734,893,265,804,712,522,321,536,
881,108,025,301,982,353,720,630,377,073,708,645,199,775,937,500,450,352,740,
420,827,571,409,577,267,300,196,598,023,866,960,411,349,143,901,896,296,792,
954,668,079,244,183,174,281,269,083,887,601,853,261,460,223,839,554,413,531,
977,269,407,939,383,758,235,993,586,378,036,523,668,193,090,974,343,076,759,
788,226,267,050,102,414,920,958,475,883,598,123,519,914,248,973,439,839,751,
800,230,688,830,096,141,700,878,748,320,853,895,555,430,620,023,173,379,478,
698,944,909,914,974,439,585,796,888,624,444,465,335,548,802,657,936,618,247,
957,492,089,142,132,674,502,811,736,658,993,927,251,460,500,023,372,088,105,
261,870,963,744,080,922,890,809,023,711,169,688,736,870,587,451,563,396,144,
758,767,611,215,446,906,414,148,795,638,358,379,919,102,687,141,502,818,583,
536,458,957,424,230,894,684,261,802,503,904,886,686,453,136,918,898,985,783,
773,789,110,884,127,170,802,563,663,224,653,913,467,828,094,535,969,742,601,
624,890,624,422,445,323,160,788,335,586,086,754,634,381,602,298,589,527,047,
138,779,687,489,102,742,023,853,011,963,145,038,939,374,429,895,174,948,217,
131,487,449,056,737,555,265,892,217,832,735,626,654,420,209,677,842,026,119,
630,730,614,198,305,163,375,382,463,191,443,170,380,426,817,032,606,549,259,
925,319,636,418,563,457,164,916,980,121,927,545,663,365,412,313,875,292,564,
418,003,268,290,746,924,293,415,593,520,967,305,793,750,669,060,516,164,123,
439,077,932,400,098,655,138,259,214,675,677,711,978,735,691,012,839,851,780,
294,357,606,103,459,438,654,452,796,210,065,631,831,091,902,776,333,263,936,
030,172,225,474,042,058,543,346,768,138,472,109,425,929,053,251,585,557,995,
118,483,145,978,785,185,599,686,665,594,329,086,001,309,731,470,819,666,128,
324,679,208,097,793,364,526,826,047,748,423,649,998,776,898,513,214,167,832,
256,897,354,454,439,270,491,872,679,815,246,563,517,869,908,582,723,537,338,
587,304,973,722,859,984,345,224,483,214,491,645,106,260,064,329,948,074,303,
832,200,837,580,851,491,244,017,004,499,108,640,114,476,136,976,012,572,268,
172,883,816,316,903,421,769,161,778,857,725,721,401,695,448,806,531,622,579,
622,780,203,778,505,073,594,077,558,598,457,975,538,527,659,862,386,029,482,
636,487,731,617,089,200,720,864,987,827,588,748,601,138,384,066,950,326,231,
789,440,802,754,537,283,803,507,795,957,097,318,733,474,891,286,248,448,604,
510,839,709,150,925,288,938,524,170,136,697,394,851,020,032,249,648,206,228,
734,563,793,917,394,991,644,875,782,746,964,611,388,527,324,718,932,729,389,
437,803,698,578,827,317,191,305,061,552,238,977,656,160,031,479,012,569,415,
527,376,027,405,359,295,995,368,297,512,364,706,229,093,515,535,222,483,376,
923,477,878,289,640,531,809,111,748,384,614,056,290,445,992,034,950,105,616,
632,200,343,867,576,169,891,342,996,644,975,374,547,321,600,340,482,814,681,
188,616,609,875,729,929,709,591,754,900,459,623,449,850,257,814,792,498,331,
775,766,941,578,955,698,303,519,638,461,338,021,420,812,659,227,348,494,529,
914,308,895,954,357,094,142,853,773,576,865,156,305,475,782,359,073,461,210,
113,329,861,108,873,820,747,487,944,871,938,583,195,265,737,541,898,580,201,
867,752,492,254,161,598,513,744,402,892,562,099,337,024,576,481,185,909,152,
690,886,187,048,957,414,617,242,145,005,280,598,727,616,006,742,489,684,303,
603,135,728,148,564,662,210,477,603,706,182,549,351,766,607,010,307,226,249,
094,794,013,835,958,511,782,555,137,483,334,274,824,893,297,528,009,127,733,
633,034,044,044,034,979,213,172,420,788,435,207,575,772,218,204,461,447,816,
364,792,180,258,191,915,916,705,472,515,311,658,486,180,710,027,413,393,631,
320,437,078,821,447,766,744,686,517,247,089,050,617,652,378,547,712,128,597,
446,367,617,849,978,205,603,261,556,693,704,839,569,153,908,437,803,559,553,
244,950,338,662,623,271,194,661,204,223,899,726,615,938,391,441,389,669,483,
829,815,338,253,340,317,087,794,124,499,799,000,138,976,920,426,882,272,759,
705,839,690,976,071,249,623,298,854,826,909,064,551,726,545,640,982,906,246,
880,513,507,364,889,975,435,592,903,769,091,623,726,176,526,474,170,332,383,
272,721,378,623,458,671,159,673,756,220,998,782,620,565,408,863,689,035,893,
326,687,304,304,225,891,296,177,283,854,044,091,158,567,413,698,861,613,846,
257,381,146,035,651,569,760,245,462,787,683,562,935,898,835,429,045,302,613,
126,721,614,616,375,178,960,040,927,539,078,377,774,590,243,494,508,768,236,
470,227,600,844,047,467,111,883,541,371,705,302,180,535,814,599,109,712,484,
287,387,452,859,837,736,203,038,988,147,445,816,828,876,576,164,756,467,127,
361,168,562,160,901,233,538,650,864,174,054,529,862,303,089,331,635,527,486,
335,401,276,579,053,430,092,858,170,737,679,591,559,238,275,550,744,761,656,
716,755,718,845,412,275,551,821,718,401,117,019,926,811,452,126,954,085,510,
005,850,358,814,006,982,449,001,253,017,705,569,392,409,748,157,291,406,948,
299,109,676,833,615,878,447,437,429,193,519,310,565,481,785,975,811,554,057,
581,548,584,159,487,210,905,115,389,918,231,647,126,020,961,489,814,052,994,
881,544,794,128,105,746,452,709,850,707,572,207,521,448,745,860,750,167,068,
818,336,275,399,437,075,403,074,333,672,672,698,927,768,614,812,194,739,064,
208,846,295,537,228,498,682,341,769,248,062,687,415,631,836,959,027,229,623,
965,463,458,771,966,972,439,737,979,291,265,500,420,626,947,742,633,338,188,
819,049,177,697,102,827,342,088,069,412,166,978,196,584,766,184,402,243,392,
186,574,922,982,915,942,418,923,761,082,659,452,532,069,053,837,468,047,657,
372,442,453,039,705,313,380,592,912,277,390,121,696,992,245,264,696,254,854,
339,240,928,130,288,392,020,249,675,122,055,137,424,001,967,315,961,836,656,
613,086,295,567,320,632,506,863,783,100,441,150,106,363,305,510,107,224,731,
726,415,902,234,067,272,809,898,416,408,059,987,441,156,724,716,863,361,463,
931,643,001,373,590,192,615,007,152,797,994,765,963,198,606,039,069,735,565,
435,047,726,671,631,814,895,652,619,964,678,188,888,824,398,377,875,319,601,
293,864,787,446,473,253,150,443,086,050,181,242,542,529,381,475,471,275,067,
094,591,299,129,008,290,381,942,223,490,913,644,572,140,022,638,762,382,785,
600,426,125,688,558,860,377,294,380,453,705,333,279,787,125,093,491,431,399,
476,572,193,399,013,961,749,729,410,696,303,864,547,053,685,567,497,491,744,
354,469,323,347,275,305,955,858,171,314,694,456,698,065,827,221,984,364,340,
361,623,303,750,629,162,301,926,168,235,677,095,132,677,686,928,523,854,317,
465,952,165,419,476,238,083,646,249,820,172,001,524,174,505,247,087,904,861,
905,552,938,384,013,455,465,555,308,939,491,585,152,503,448,608,400,970,295,
004,570,769,937,345,969,831,983,875,862,058,517,876,288,446,888,757,372,471,
439,593,199,906,694,233,189,245,360,978,666,561,987,265,774,075,784,135,660,
546,412,441,743,295,526,494,630,813,977,665,917,809,076,359,630,273,309,309,
776,100,973,375,136,100,910,992,286,545,292,666,737,296,827,783,886,354,620,
162,856,453,153,608,129,135,410,836,302,653,175,223,918,195,573,887,611,717,
230,580,069,814,574,623,122,992,858,160,602,457,848,707,223,681,909,731,622,
257,599,598,066,188,994,891,023,747,545,518,989,654,275,734,767,249,645,432,
584,729,085,909,299,013,652,845,549,719,171,618,281,432,134,675,179,162,201,
949,670,019,811,476,789,636,454,465,719,809,813,236,317,515,020,985,720,174,
344,771,060,872,164,301,105,539,203,045,666,149,627,722,821,455,293,300,197,
860,968,459,664,252,713,958,497,168,582,419,656,317,170,628,840,290,473,887,
154,466,465,284,111,947,515,957,977,253,235,474,530,854,573,371,173,480,526,
081,286,362,493,598,163,483,260,528,060,898,545,720,234,085,427,805,288,560,
540,780,129,391,763,034,294,196,278,005,645,954,095,174,617,957,779,246,366,
275,332,237,357,851,279,629,416,631,625,455,757,219,080,641,820,919,080,490,
871,902,185,305,936,125,365,225,687,675,713,697,555,492,115,783,507,668,424,
731,844,841,086,603,821,345,210,615,100,774,642,215,234,132,117,537,466,612,
071,192,664,525,435,360,071,747,373,603,465,728,948,293,467,780,797,912,376,
977,043,224,630,861,008,199,337,141,455,535,935,515,208,871,233,996,326,394,
913,061,871,335,067,555,915,077,261,160,792,501,363,044,443,852,680,118,018,
930,070,781,276,297,110,126,511,929,496,215,365,243,208,228,474,012,486,043,
620,403,464,232,168,445,204,467,115,639,750,213,905,880,698,896,282,551,883,
164,403,004,073,685,218,521,305,653,260,854,989,553,441,468,929,126,580,252,
569,996,873,899,758,103,883,592,151,392,029,812,270,407,107,910,187,944,079,
861,356,833,919,916,268,333,486,566,345,128,909,977,768,112,187,351,455,729,
931,718,091,131,764,169,358,625,770,858,425,945,342,218,483,184,538,685,668,
569,083,485,306,688,067,316,143,878,848,270,763,748,653,289,358,294,067,899,
442,278,083,899,837,606,289,736,255,919,485,834,221,354,501,415,677,319,134,
946,060,498,072,535,970,542,585,497,919,483,873,570,244,227,535,786,450,473,
280,968,336,575,517,523,786,183,236,884,220,154,700,010,478,838,570,811,368,
460,368,947,212,552,171,755,903,742,204,079,103,435,709,279,345,790,834,317,
759,553,955,712,788,429,069,156,819,979,845,076,847,768,116,254,879,752,104,
472,202,069,158,658,040,432,114,818,283,517,969,851,056,064,251,430,501,847,
415,730,282,706,713,057,681,386,260,096,439,420,919,354,740,437,636,939,583,
045,797,679,823,932,150,994,347,545,382,981,593,616,935,168,842,160,877,094,
071,322,467,598,404,973,282,149,087,052,037,548,766,267,972,683,077,987,619,
116,085,165,382,296,945,100,337,241,156,734,185,131,345,527,396,265,723,880,
202,129,800,639,883,349,642,256,471,245,527,131,462,177,850,411,482,949,194,
985,887,499,516,955,307,484,216,964,749,807,050,525,072,593,079,053,222,057,
695,963,205,601,491,215,441,917,039,544,580,546,639,679,976,631,645,514,618,
417,720,071,052,073,356,180,884,421,507,188,362,706,517,865,637,800,818,084,
106,030,288,753,043,896,893,995,375,607,302,825,363,649,938,153,353,402,616,
228,227,655,429,369,986,389,922,913,076,415,271,548,928,791,182,066,752,724,
984,110,784,750,119,631,778,470,880,017,756,858,147,586,449,782,134,904,076,
859,756,168,234,788,174,754,425,212,958,804,734,130,298,109,271,282,281,959,
242,031,314,283,856,411,458,225,671,765,445,691,129,014,247,471,886,356,439,
027,473,806,511,719,485,802,046,894,723,583,407,003,670,888,785,634,296,549,
207,304,233,630,873,013,878,902,194,274,417,695,727,948,032,181,408,571,179,
756,499,991,946,377,209,566,279,896,760,832,478,320,655,993,570,872,767,679,
434,510,112,947,296,591,040,312,538,448,998,472,952,136,470,951,826,887,336,
963,458,526,646,629,393,524,027,550,825,209,506,315,295,408,192,231,367,884,
179,062,473,672,881,282,503,537,403,881,528,412,176,576,923,819,606,823,657,
121,855,499,537,845,027,851,190,144,564,998,223,904,702,718,569,311,040,577,
332,008,730,237,218,463,032,871,992,087,129,404,313,891,513,714,780,247,611,
674,462,017,702,173,187,728,349,512,347,531,384,482,676,984,845,770,793,110,
380,500,674,227,343,217,795,508,261,040,825,439,296,418,682,351,129,148,652,
610,219,128,219,841,546,865,242,114,006,128,677,995,593,243,902,027,903,205,
220,838,028,179,656,780,639,164,235,281,706,484,352,239,016,848,939,557,473,
812,406,214,076,114,853,255,278,657,398,067,732,346,005,928,540,441,740,739,
867,744,420,563,839,762,468,099,582,037,165,567,503,877,032,054,911,695,120,
560,381,885,692,917,158,927,397,804,265,615,951,986,586,605,301,055,722,950,
379,149,100,714,838,933,614,131,778,744,230,946,861,122,554,312,704,319,313,
699,907,448,343,830,013,278,181,502,391,103,340,862,093,020,818,402,039,933,
595,664,615,547,429,100,026,179,921,555,337,544,705,423,535,986,848,904,948,
865,561,250,483,794,050,533,558,425,383,144,634,968,032,800,289,197,686,150,
155,342,432,642,655,747,443,678,126,589,962,083,455,028,095,521,077,202,481,
037,174,534,854,783,127,659,840,891,148,308,771,378,761,925,918,200,188,586,
278,476,835,697,779,208,511,728,847,720,130,966,910,963,043,117,780,549,595,
763,540,969,573,942,309,404,967,694,077,978,006,005,081,842,252,012,600,135,
724,306,299,363,705,082,836,168,076,024,331,027,868,530,229,672,981,174,774,
594,872,269,333,652,352,337,810,867,411,597,706,380,654,296,991,319,149,246,
777,083,606,138,010,514,874,991,135,164,537,429,638,548,532,814,102,858,203,
350,040,170,144,541,942,313,367,528,619,775,703,908,218,891,358,874,399,920,
793,330,587,806,424,920,194,643,675,781,820,900,394,352,022,800,590,816,455,
882,529,952,069,372,457,545,014,316,109,351,175,344,202,898,447,465,902,191,
225,554,767,486,633,601,841,829,853,500,354,350,112,172,902,934,559,017,635,
994,750,270,833,084,716,108,392,516,064,381,602,024,361,500,363,863,528,752,
895,481,501,461,228,034,273,026,523,238,392,920,405,412,521,804,747,808,839,
293,723,694,792,661,928,203,643,374,825,143,245,513,690,802,671,177,701,301,
262,932,352,355,508,719,475,066,162,292,303,537,155,463,063,894,200,062,813,
257,141,520,138,328,653,698,658,191,193,677,281,075,652,338,690,166,083,926,
685,628,330,682,782,438,270,356,103,220,125,330,952,973,891,790,823,755,900,
258,808,580,971,706,205,090,405,081,089,427,895,534,918,543,600,838,913,921,
473,451,771,917,152,539,685,759,329,530,049,969,902,027,264,007,459,327,928,
405,236,418,604,075,827,693,162,351,286,327,541,091,627,988,935,809,880,037,
438,478,462,047,170,332,201,573,301,387,791,899,634,467,585,571,891,503,680,
463,588,629,252,997,169,428,512,055,467,407,484,788,133,526,592,584,383,031,
141,675,539,194,362,712,331,488,854,705,211,038,590,067,757,013,541,637,634,
736,600,455,399,245,560,426,314,552,526,379,987,133,623,912,488,630,825,922,
882,973,303,903,252,858,782,405,651,678,341,716,689,632,650,883,083,394,376,
633,369,502,243,005,229,275,472,996,083,683,140,320,675,147,044,159,818,056,
689,422,242,487,819,515,359,835,411,314,154,226,944,898,063,887,803,311,894,
439,830,008,738,230,230,132,197,202,566,948,715,907,157,562,367,402,016,393,
398,435,196,544,367,576,766,242,605,790,731,403,847,249,240,257,069,529,154,
148,293,889,750,975,114,628,646,174,473,502,964,045,576,479,578,002,734,006,
875,505,259,006,847,913,759,596,703,102,774,532,769,212,428,223,600,486,653,
136,213,361,862,538,690,804,159,165,539,564,095,471,202,799,217,567,481,364,
294,608,397,202,224,892,795,870,581,481,908,774,294,391,216,351,426,816,013,
558,252,793,502,146,312,765,103,106,339,884,696,610,961,730,963,244,748,801,
270,077,808,935,240,580,731,787,042,169,017,662,763,982,818,617,763,078,722,
027,241,005,807,917,509,928,591,767,876,904,512,841,813,976,969,381,766,103,
984,886,022,560,536,552,286,155,911,913,109,059,084,934,097,617,051,605,436,
010,717,168,503,129,458,209,426,020,900,609,122,173,443,754,591,400,994,123,
094,326,988,221,963,041,648,848,764,059,807,794,098,919,234,728,470,237,174,
846,689,954,903,299,519,883,219,130,121,263,132,531,818,551,679,700,806,698,
666,558,256,285,492,376,374,425,374,805,741,444,731,866,076,491,024,582,432,
563,311,146,350,160,852,403,288,175,488,871,420,133,708,473,662,102,821,853,
041,297,048,789,083,833,145,565,888,766,479,785,331,679,800,946,275,365,949,
796,087,116,621,149,142,110,524,822,613,664,673,792,058,112,026,055,853,867,
135,798,071,710,214,944,464,597,498,985,469,182,858,678,057,676,191,903,753,
861,511,448,226,404,883,877,137,507,967,574,977,209,104,411,591,188,287,240,
741,375,723,036,454,762,000,650,580,719,281,973,736,642,604,530,762,907,436,
525,868,224,010,696,481,744,722,515,405,587,300,789,210,412,978,880,997,846,
749,938,801,975,587,046,177,318,000,094,316,604,546,559,755,028,012,280,328,
423,429,026,566,524,527,161,988,874,152,654,684,095,429,014,991,962,913,903,
174,979,176,537,010,588,074,011,731,011,363,008,972,343,855,098,381,139,256,
955,365,780,928,104,056,275,139,130,568,029,456,021,904,273,303,147,266,752,
948,377,349,341,235,686,905,118,732,944,335,792,049,811,703,425,437,032,320,
273,985,577,528,217,647,363,664,551,838,315,297,410,422,852,413,663,274,089,
370,078,119,755,584,912,916,397,349,044,695,242,277,360,112,836,332,590,862,
848,341,846,434,412,107,640,953,746,902,019,609,291,453,870,489,077,545,205,
655,133,816,953,170,258,916,327,327,514,759,878,438,707,460,800,312,623,654,
932,207,599,854,927,943,557,594,238,442,157,111,254,519,464,923,272,634,613,
556,207,676,336,332,217,427,733,646,824,049,351,416,410,764,546,190,195,423,
791,683,400,353,134,729,941,114,537,787,479,259,918,576,771,127,487,340,106,
832,370,597,438,263,131,262,932,774,440,069,005,592,387,181,581,596,672,915,
541,710,904,173,862,638,068,453,286,762,955,898,817,526,234,748,854,045,111,
915,953,097,220,074,890,773,806,432,804,377,552,796,772,138,859,714,815,320,
045,323,237,523,347,125,510,598,490,828,355,454,432,240,498,855,991,855,667,
932,328,927,016,230,003,515,219,765,323,569,798,850,380,202,998,653,283,065,
136,160,954,333,453,583,510,581,649,480,053,352,194,168,154,545,595,546,536,
023,775,031,901,925,139,007,103,765,287,586,172,715,012,693,331,266,083,381,
616,230,656,309,870,675,146,700,406,122,142,241,391,967,984,362,832,140,788,
736,062,059,849,288,089,492,977,417,939,440,337,275,917,685,842,915,985,862,
776,951,061,312,536,113,504,231,305,583,463,185,911,763,654,505,089,948,690,
563,283,661,565,364,343,609,470,710,396,421,640,055,678,832,147,255,237,925,
041,638,800,446,102,993,796,308,559,373,549,375,236,701,555,521,529,553,475,
301,224,806,607,933,510,680,586,020,865,479,740,624,922,786,108,150,990,718,
556,214,983,948,975,449,664,401,956,120,362,035,898,124,413,224,314,776,828,
346,516,547,987,533,176,631,950,335,883,592,183,341,535,308,973,168,474,753,
559,011,071,049,135,564,060,641,668,683,349,509,326,634,495,879,617,594,368,
307,017,203,529,893,287,418,004,925,599,160,279,142,718,802,275,010,125,367,
056,515,289,993,749,462,478,551,596,185,013,078,818,944,626,943,379,903,775,
701,051,999,405,697,030,982,941,770,778,208,519,487,704,232,905,624,862,567,
039,443,368,181,466,157,076,687,461,259,338,508,272,909,063,726,156,325,567,
998,142,612,202,931,540,673,133,026,277,676,930,431,985,972,331,143,347,355,
586,436,403,991,727,601,494,010,327,814,052,810,382,625,515,041,662,041,916,
058,607,488,521,048,596,762,940,752,516,575,601,437,110,519,176,503,546,788,
080,939,388,386,382,829,659,112,200,388,772,573,543,421,469,283,044,093,421,
421,117,751,094,781,215,448,240,448,915,059,964,275,235,496,909,937,689,794,
467,879,494,183,037,884,283,289,018,727,266,553,555,740,770,722,782,939,423,
691,272,856,693,998,532,021,660,833,487,375,252,886,760,103,107,986,994,387,
760,338,057,640,909,969,855,864,641,966,100,225,400,595,414,932,327,821,411,
140,384,417,366,940,530,588,894,967,734,026,351,983,758,349,592,733,497,491,
604,597,345,567,042,719,307,475,447,075,596,513,820,835,040,532,286,145,540,
962,809,492,884,397,478,246,182,544,740,413,766,624,502,150,443,170,027,270,
971,584,035,124,110,265,753,316,437,525,398,694,228,514,735,387,693,452,804,
073,139,196,426,213,574,768,605,095,529,785,588,367,184,968,502,432,245,378,
599,994,744,135,165,116,065,529,339,118,640,076,451,352,709,077,753,572,680,
429,236,329,354,683,509,958,464,800,794,674,119,758,975,288,641,200,508,514,
432,437,826,985,608,578,149,423,900,543,520,836,061,176,073,500,965,353,156,
119,780,042,560,603,268,931,950,507,322,298,883,972,057,352,397,364,094,844,
382,526,563,714,659,719,577,523,523,311,409,673,976,157,365,281,008,796,934,
880,112,084,392,721,071,734,595,078,731,716,402,593,452,598,441,205,620,701,
108,922,387,459,840,712,658,761,470,931,863,644,577,656,571,870,613,464,347,
211,607,852,668,811,424,509,098,880,106,494,609,925,698,569,303,236,969,070,
140,855,626,042,748,297,868,557,845,908,356,997,848,816,725,116,868,681,500,
171,969,895,308,790,323,850,911,355,976,594,676,950,417,882,658,949,170,339,
335,909,170,435,671,884,072,352,473,095,739,048,531,141,519,631,411,501,153,
104,001,807,114,582,246,590,028,300,344,720,876,370,877,348,487,446,118,359,
650,928,621,398,630,220,374,738,850,556,631,113,425,376,437,301,538,532,640,
209,275,217,454,472,323,352,577,653,234,802,568,065,682,829,709,343,118,948,
508,910,741,441,335,335,335,548,937,880,796,409,228,456,401,950,340,075,186,
985,599,068,704,482,180,519,508,426,186,141,570,680,791,976,115,833,939,671,
729,189,678,304,668,755,539,700,084,195,161,613,443,130,125,961,187,477,546,
088,479,219,089,217,232,525,216,282,749,021,450,570,462,113,117,703,444,439,
631,768,631,005,339,340,999,079,772,374,664,370,852,127,520,890,350,995,270,
246,077,158,266,523,712,520,073,149,973,583,864,594,319,043,327,797,479,840,
459,157,838,859,945,984,725,943,039,775,401,282,320,295,539,509,753,168,293,
416,583,895,859,083,827,349,578,984,568,525,146,480,916,857,181,937,119,742,
591,659,913,354,352,452,444,922,393,295,512,637,852,793,104,567,794,266,675,
925,584,222,084,805,903,363,873,715,659,792,871,312,200,571,195,333,762,356,
680,405,535,939,633,029,083,733,811,857,481,437,458,382,232,232,688,768,526,
104,412,837,164,157,313,961,855,415,829,018,888,407,110,179,592,315,057,278,
055,357,717,412,086,879,520,285,906,416,512,378,321,769,217,810,185,074,114,
972,702,217,573,246,065,352,500,208,792,018,856,644,631,458,162,108,580,878,
805,181,036,151,817,198,478,081,465,995,044,755,989,352,232,569,441,764,619,
484,986,414,270,422,283,287,599,254,120,874,015,727,829,371,341,989,181,800,
188,884,159,580,997,752,549,684,417,405,214,083,865,538,688,797,034,018,412,
641,408,054,598,531,859,062,746,598,626,091,992,554,709,990,955,624,414,822,
667,917,394,524,545,013,181,880,003,452,876,387,700,030,437,867,234,946,913,
849,860,123,282,163,640,744,579,980,064,864,799,425,392,892,652,131,429,184,
883,004,348,332,567,080,654,224,940,068,050,987,921,141,502,966,503,193,378,
270,332,443,260,281,144,684,145,922,861,776,557,039,068,945,190,229,085,576,
698,126,867,643,267,295,818,584,123,135,874,534,598,264,610,045,282,517,064,
040,222,154,533,397,303,121,492,704,868,307,859,479,490,418,236,698,331,081,
965,339,384,369,688,889,342,375,067,087,794,170,702,026,147,277,955,860,181,
192,912,123,850,174,177,174,046,980,545,577,484,613,080,213,689,357,681,068,
406,986,769,607,695,840,991,799,994,304,469,042,506,620,213,423,866,550,646,
339,491,450,484,365,847,347,155,925,355,409,707,248,579,919,292,879,237,052,
290,925,427,529,937,126,852,600,708,140,698,453,809,916,868,661,320,930,016,
275,156,394,374,905,169,852,191,706,998,703,392,533,567,298,732,267,012,549,
664,288,015,139,859,541,620,683,788,988,681,386,319,543,361,014,713,885,535,
619,677,832,097,393,503,459,946,600,564,004,434,919,921,054,462,233,823,259,
961,918,680,264,717,442,764,488,920,070,910,430,612,819,164,185,136,794,084,
468,511,206,841,979,717,903,812,353,431,148,273,528,331,897,365,225,785,511,
080,837,148,842,071,399,057,111,973,057,766,128,934,691,271,581,100,031,252,
378,465,830,953,007,098,948,530,859,929,534,716,269,921,874,009,214,392,467,
573,765,738,828,306,682,903,869,584,231,174,572,072,755,912,886,015,343,255,
336,943,346,667,681,893,009,781,789,925,223,526,827,404,562,465,209,581,438,
657,048,089,137,407,135,929,772,029,499,190,812,519,129,981,386,409,985,893,
169,394,785,683,501,368,189,949,093,469,265,546,439,421,289,163,985,487,910,
281,630,081,399,362,856,594,104,973,818,891,751,200,981,350,791,271,611,834,
254,845,395,792,721,285,815,183,056,800,627,236,989,477,505,084,033,917,147,
563,703,058,550,223,973,687,018,028,657,417,309,618,479,195,204,453,723,771,
786,504,362,214,445,950,170,890,578,226,345,782,526,460,087,330,292,730,472,
452,494,669,874,928,927,254,750,021,939,743,535,703,668,759,612,936,961,709,
340,561,477,381,225,935,282,399,448,500,641,678,838,817,749,728,956,985,876,
605,781,854,711,801,931,857,540,423,946,745,181,828,982,696,218,527,339,147,
994,828,235,880,571,357,864,588,050,424,109,957,700,232,992,353,354,079,245,
570,278,373,195,724,425,421,748,622,834,573,099,809,883,053,976,886,809,993,
849,816,070,747,158,676,706,600,501,182,533,232,922,886,493,786,812,592,328,
965,531,516,387,284,330,901,229,412,351,060,764,717,247,178,055,529,885,335,
934,619,970,388,746,297,742,896,199,186,625,338,944,241,162,015,231,635,217,
648,001,829,951,689,105,140,129,012,969,929,235,367,546,931,804,694,265,118,
696,734,780,648,537,823,665,182,210,455,377,538,522,590,112,914,106,259,097,
258,385,289,967,867,517,652,708,728,348,520,011,798,361,099,749,877,476,685,
963,911,458,671,211,689,767,940,747,717,441,478,626,717,860,148,720,755,803,
230,626,477,031,280,831,328,966,120,968,179,860,539,138,876,531,561,145,523,
344,586,690,408,091,886,689,202,093,816,770,912,494,655,324,257,982,006,572,
635,782,386,306,484,950,393,428,895,463,892,348,903,815,245,701,859,888,957,
654,806,203,854,739,788,822,102,499,987,660,519,662,881,222,680,244,314,124,
901,279,972,316,679,151,753,013,053,330,432,218,044,774,557,346,060,184,535,
066,692,919,535,724,446,334,989,583,391,222,648,226,036,069,890,454,735,363,
865,556,208,486,629,934,755,961,336,508,758,932,366,114,695,089,764,708,232,
590,477,074,777,106,118,644,184,618,889,136,383,510,717,523,202,585,943,889,
525,019,180,481,359,284,587,105,120,052,486,990,184,770,758,504,630,279,307,
605,336,300,195,836,740,409,983,670,869,406,689,802,053,960,248,917,024,444,
209,091,012,615,508,324,762,924,640,179,053,115,636,551,947,770,097,799,902,
621,826,885,912,132,225,649,300,756,438,252,976,708,204,366,231,045,035,324,
787,609,794,811,344,873,518,580,356,089,439,623,312,046,430,608,964,121,888,
478,524,134,471,279,470,289,968,635,548,062,834,189,822,935,374,628,643,489,
496,567,115,734,707,807,943,006,654,729,176,502,844,165,928,218,444,111,749,
919,149,315,377,504,881,342,971,962,093,744,707,946,347,869,106,478,303,112,
346,154,036,990,606,641,630,620,264,128,150,903,051,412,159,816,840,315,414,
447,399,809,084,424,002,566,624,848,233,641,486,454,019,581,241,073,604,806,
575,681,868,217,847,430,578,116,920,770,296,011,885,053,857,759,801,693,785,
460,185,764,257,963,199,692,534,738,854,599,978,351,285,322,955,474,711,521,
442,214,719,127,141,836,650,777,984,243,402,026,084,256,682,977,637,495,937,
191,013,548,306,485,915,127,539,928,151,725,358,076,132,163,676,325,875,658,
327,362,939,293,224,494,050,317,574,323,943,629,291,307,740,900,530,274,934,
674,720,096,660,383,145,217,388,580,355,536,768,747,888,842,745,554,598,000,
812,868,063,454,909,604,970,420,744,275,799,399,058,240,694,483,004,810,183,
366,271,866,969,746,674,979,846,242,231,758,820,518,441,164,119,890,273,749,
582,462,014,008,310,135,798,797,346,522,805,622,665,392,704,776,007,838,931,
248,960,224,531,927,071,501,560,320,906,155,348,172,869,389,681,355,848,770,
088,450,577,962,597,932,735,437,555,847,144,608,527,576,214,217,173,780,742,
305,437,982,495,127,194,049,380,727,517,266,940,849,053,838,037,911,803,510,
609,361,146,717,127,385,484,328,285,700,808,148,729,882,922,910,060,508,729,
274,092,393,987,798,976,631,680,550,454,721,676,899,418,947,116,215,930,560,
831,790,439,691,325,780,813,949,985,858,963,791,873,800,217,283,781,895,660,
409,584,325,614,793,205,585,746,967,634,045,770,481,516,311,940,672,918,599,
512,975,992,659,067,842,140,145,498,283,228,160,622,615,249,783,919,272,798,
087,002,299,379,495,448,014,582,867,205,420,945,414,625,628,855,457,493,227,
184,787,299,706,274,510,444,638,476,526,939,539,067,443,904,616,401,282,505,
389,362,950,147,676,631,064,051,576,233,000,254,126,763,692,308,198,082,060,
620,438,916,490,517,959,381,984,839,328,140,722,428,509,676,920,163,060,564,
548,895,683,840,302,118,515,654,589,231,765,802,906,408,291,336,643,638,637,
178,518,521,574,964,519,189,138,125,470,353,561,346,936,219,731,194,519,687,
557,189,366,641,448,938,373,300,822,621,554,360,427,083,787,401,186,005,203,
098,125,611,732,229,968,524,128,604,496,235,514,302,542,528,681,201,097,716,
050,620,036,932,982,761,418,451,886,550,435,703,958,801,403,475,006,329,620,
643,538,933,847,985,636,500,237,973,948,852,002,147,494,392,877,865,328,677,
168,930,128,591,468,887,480,967,312,242,319,708,674,960,723,119,917,839,899,
513,129,206,093,251,652,615,743,433,810,178,232,919,910,559,041,411,605,472,
500,804,821,656,747,852,712,726,232,535,664,485,141,621,507,291,585,847,871,
836,862,489,310,274,053,825,691,864,209,015,103,478,027,087,994,956,218,316,
125,340,971,041,430,190,489,299,642,283,328,543,584,289,239,974,965,147,910,
107,374,006,306,228,421,624,257,172,336,471,077,259,976,976,487,955,794,359,
403,017,145,657,797,007,120,763,325,431,281,127,136,535,731,806,919,243,698,
656,593,635,496,934,236,792,726,458,366,572,385,983,266,787,693,557,024,113,
693,064,756,834,140,700,500,742,547,647,693,333,713,561,997,620,081,464,709,
570,291,375,206,860,487,255,039,589,481,290,469,903,439,837,617,558,066,605,
419,066,460,319,183,733,951,697,345,727,649,060,773,548,239,140,953,602,404,
964,565,245,640,541,947,287,430,929,326,560,770,800,502,285,800,574,044,048,
851,973,752,249,743,810,070,699,637,582,918,345,124,190,040,370,796,271,548,
987,457,958,132,365,577,508,280,656,471,881,195,263,070,690,517,733,056,074,
259,442,634,667,171,916,318,772,706,239,728,210,330,767,111,945,216,196,677,
041,468,935,905,603,311,498,302,548,392,533,412,684,938,318,193,592,861,847,
645,442,271,330,111,646,258,998,390,247,833,833,422,386,677,159,084,944,685,
144,669,505,844,351,974,953,061,246,642,289,970,151,115,432,731,940,787,621,
750,074,520,693,509,056,045,503,099,111,232,218,484,583,516,925,210,759,616,
233,758,390,494,724,717,488,495,221,458,495,188,816,034,513,517,355,338,869,
834,431,393,945,193,154,653,261,295,964,826,299,149,637,525,145,605,060,240,
569,057,081,016,992,414,077,740,038,499,517,065,953,818,483,868,390,484,890,
923,250,633,075,985,484,002,675,462,651,673,836,702,939,011,748,032,395,359,
763,373,138,198,104,366,865,321,148,537,400,530,526,101,078,073,393,598,774,
595,275,693,012,352,171,902,284,844,208,219,116,258,215,591,422,829,497,997,
511,172,780,414,954,948,571,333,162,032,290,741,676,325,696,512,347,596,708,
860,392,299,439,955,361,325,709,313,346,451,557,620,878,816,485,870,589,790,
370,589,310,600,623,614,448,340,135,059,598,937,226,675,843,575,848,816,716,
642,792,282,332,103,140,638,238,531,271,025,254,687,877,111,888,651,516,204,
786,611,888,183,147,499,627,987,613,417,861,864,981,643,378,214,318,366,341,
609,792,277,508,753,495,801,610,602,475,425,251,332,235,430,412,304,946,836,
288,516,324,862,475,958,148,387,928,306,307,022,347,569,372,165,395,371,228,
474,378,127,978,730,988,035,629,831,536,351,786,284,308,942,416,166,400,778,
739,193,624,799,322,704,121,792,404,178,823,130,298,470,234,902,688,110,360,
266,932,806,195,278,291,436,475,887,478,407,067,435,172,817,517,813,308,688,
704,702,225,149,932,392,617,928,412,426,591,393,997,202,389,422,002,625,265,
715,263,991,341,330,924,973,080,951,716,407,747,477,050,840,273,457,092,401,
435,060,830,889,444,982,150,798,889,496,950,203,551,872,698,824,204,351,885,
063,571,654,384,595,510,164,113,860,328,245,352,314,184,522,948,864,052,531,
005,834,916,698,462,688,478,195,056,884,257,704,988,582,098,310,358,938,472,
099,322,316,740,253,200,069,887,636,447,563,580,662,869,737,017,398,385,233,
447,057,751,499,582,551,724,285,324,340,619,212,631,262,882,394,260,774,898,
232,735,182,576,415,388,838,801,131,095,505,040,538,004,957,210,268,262,147,
072,543,355,631,969,207,042,403,754,787,095,900,917,075,011,872,224,881,978,
213,361,206,717,078,314,135,659,094,170,520,822,448,230,429,347,597,179,690,
070,446,006,629,801,998,752,969,812,324,375,188,639,181,544,164,510,656,201,
761,376,443,210,128,534,940,206,671,213,259,778,946,102,611,205,610,408,290,
563,592,229,804,508,393,757,041,615,844,272,732,311,585,433,913,802,895,588,
622,092,419,964,536,493,891,528,374,704,138,723,189,676,449,581,394,966,797,
990,596,424,018,928,691,361,547,308,137,414,705,967,655,873,698,668,163,161,
098,348,032,466,735,265,010,106,944,097,672,812,425,241,715,172,187,186,154,
662,345,452,813,286,715,500,695,702,833,092,658,827,669,244,638,407,289,877,
850,294,416,701,951,268,916,295,664,084,510,819,988,333,297,913,687,727,147,
548,997,557,174,418,344,972,568,200,221,535,041,379,806,467,892,926,452,374,
763,686,663,682,085,381,617,035,663,495,426,824,012,763,269,303,233,750,481,
538,561,774,653,511,344,281,369,415,016,447,412,848,744,046,908,329,740,292,
481,481,776,609,848,066,536,650,645,124,879,185,523,143,162,966,327,355,835,
438,831,057,123,659,001,432,270,925,048,199,226,134,983,781,912,190,683,504,
452,077,904,789,358,686,989,788,044,487,956,091,900,291,368,235,533,726,514,
606,108,647,871,066,186,959,912,970,696,416,699,162,070,179,792,138,091,198,
365,390,972,926,574,047,187,575,548,906,472,823,103,582,316,910,184,231,339,
399,166,581,116,843,232,656,281,880,434,863,305,813,064,736,335,899,934,519,
217,409,307,683,165,871,417,663,538,721,613,329,346,043,803,729,145,842,386,
699,315,715,123,418,823,396,218,308,490,863,497,181,388,126,685,763,717,491,
412,497,575,271,910,547,269,353,638,260,553,869,663,757,923,692,478,545,549,
958,052,807,363,372,875,444,607,719,233,190,089,044,279,338,328,821,297,375,
335,189,275,772,820,636,912,578,248,285,855,608,089,450,901,277,315,658,402,
829,287,177,878,508,388,507,624,593,778,215,863,572,309,731,514,795,482,741,
397,479,101,031,347,008,289,016,062,283,427,977,118,766,102,854,991,939,407,
969,729,031,877,132,256,632,892,636,690,441,068,679,623,083,342,361,822,414,
019,507,351,638,389,296,697,984,068,748,489,424,311,424,682,031,406,504,089,
032,918,150,101,767,328,350,267,875,834,230,868,932,898,700,285,191,667,413,
552,067,870,451,874,775,894,083,224,891,369,371,972,127,770,793,994,748,275,
774,028,526,495,119,960,560,897,243,924,731,878,994,637,347,120,642,450,774,
859,742,667,957,858,539,315,157,173,664,149,373,738,199,214,453,966,753,399,
404,558,634,884,450,894,940,458,832,186,359,347,204,117,298,691,034,988,757,
935,429,484,585,614,191,662,036,951,869,964,665,991,674,404,432,724,340,820,
195,810,941,874,041,072,796,860,259,421,499,960,085,892,452,261,467,950,104,
692,008,153,243,056,618,296,677,728,258,687,999,040,401,020,178,809,635,065,
440,993,379,881,932,439,380,766,527,943,790,204,803,670,292,495,634,148,360,
371,617,042,540,500,602,505,079,863,550,084,429,191,885,106,443,713,174,947,
958,683,403,039,195,516,564,452,082,462,412,113,787,549,201,095,625,612,802,
614,151,581,652,418,983,696,480,089,188,363,428,607,283,597,703,776,291,679,
893,946,969,475,648,649,451,036,765,504,998,942,515,652,811,606,899,061,797,
265,249,976,761,475,195,648,389,685,176,035,626,669,093,019,614,588,230,683,
145,552,822,929,118,875,732,789,863,748,380,068,641,315,361,925,448,217,098,
225,493,174,581,912,890,849,417,574,255,885,653,550,250,968,515,908,037,555,
257,826,677,623,539,843,541,535,194,520,962,199,938,992,169,131,606,067,579,
746,319,478,666,246,487,923,831,290,716,629,941,935,102,937,741,242,571,021,
451,224,508,660,096,976,961,933,880,585,280,809,054,064,972,334,968,956,244,
669,643,595,165,458,526,468,084,499,598,651,399,895,079,142,460,690,657,950,
580,370,946,201,666,351,868,072,857,500,564,297,690,709,414,646,246,950,806,
370,806,774,868,875,728,743,618,655,416,775,498,294,082,225,413,591,598,062,
666,683,868,335,796,915,345,897,948,074,514,892,120,418,688,350,510,777,728,
949,841,117,636,722,628,008,886,724,280,087,503,292,474,907,648,570,817,870,
419,062,459,685,418,234,610,979,082,416,007,856,514,538,799,672,984,105,189,
066,076,504,573,210,693,556,772,189,794,995,571,275,756,518,048,078,349,181,
662,985,196,776,763,272,358,620,683,042,077,561,148,872,552,948,663,465,599,
203,593,470,913,310,125,693,437,886,744,624,650,968,688,709,697,091,541,935,
904,207,847,545,715,392,275,506,224,632,242,427,457,434,268,004,495,969,335,
919,293,765,613,656,498,201,452,131,558,447,297,613,015,095,504,103,916,497,
879,678,806,354,548,232,342,953,279,369,366,338,070,308,382,608,639,175,139,
071,229,191,454,838,982,350,237,548,472,165,210,408,482,964,414,565,092,390,
885,145,324,950,082,765,967,023,921,924,234,073,063,761,195,302,945,268,340,
444,034,527,997,487,979,894,353,693,108,371,727,613,121,822,979,888,575,847,
559,558,473,826,180,665,473,595,427,253,902,856,598,751,052,235,270,320,192,
355,472,461,303,687,044,473,752,596,705,563,773,225,931,373,907,836,584,790,
792,059,124,472,757,235,214,784,661,336,625,638,462,167,873,420,391,252,508,
749,852,750,750,716,671,067,489,509,351,422,420,357,198,384,316,564,556,475,
703,809,071,957,040,912,564,695,849,523,936,940,956,974,800,429,172,222,264,
963,558,425,133,085,076,331,602,423,798,922,259,409,852,903,774,980,548,982,
139,917,743,562,489,041,038,376,110,917,625,292,690,394,384,579,588,114,275,
730,153,254,089,563,774,378,624,570,103,565,276,157,973,110,661,967,767,456,
595,956,443,219,876,996,199,731,265,513,882,869,966,594,943,563,408,675,854,
840,763,912,827,484,481,049,694,224,760,203,706,784,459,457,955,410,438,622,
736,878,220,522,668,378,255,351,335,777,960,145,615,911,457,453,020,606,960,
729,643,376,058,757,056,262,873,965,021,861,484,356,990,075,757,131,031,266,
368,332,098,970,658,182,245,287,389,718,416,483,237,079,813,618,677,677,782,
830,997,918,139,685,862,344,297,890,307,714,436,613,686,651,806,358,313,974,
211,049,803,474,595,163,435,733,643,182,167,262,113,819,411,290,471,674,039,
888,460,634,769,042,213,553,479,419,015,870,570,071,010,722,082,658,321,177,
696,220,466,010,956,924,337,254,423,815,894,054,578,440,795,621,907,277,113,
810,140,880,033,247,663,603,976,522,740,311,131,335,623,921,651,272,990,624,
076,830,315,207,556,652,402,150,052,053,610,811,494,150,432,459,289,466,628,
842,409,166,952,754,674,658,213,570,127,509,888,786,324,053,295,673,792,401,
684,946,947,767,178,106,806,438,507,943,401,638,413,552,829,709,624,870,266,
884,890,375,174,015,892,622,406,363,671,319,025,812,724,674,207,441,034,276,
185,476,544,439,085,453,104,633,970,982,575,446,722,669,969,039,308,941,398,
145,877,217,792,578,061,752,623,295,845,090,914,652,527,413,083,029,028,783,
208,904,153,067,074,589,123,481,722,285,865,570,244,765,713,016,552,910,810,
614,832,320,529,467,498,522,370,600,752,531,212,984,707,962,115,855,167,607,
112,833,272,232,782,506,159,396,184,198,512,013,060,659,909,964,936,632,846,
308,780,584,633,826,586,899,352,930,598,412,034,569,475,235,432,671,371,611,
951,506,182,256,817,679,870,262,474,430,420,165,415,187,271,063,235,251,290,
265,663,256,702,064,048,039,596,046,153,876,245,705,144,332,547,899,819,913,
841,120,995,089,109,816,596,910,420,380,177,002,138,699,083,782,203,934,312,
805,683,971,490,560,898,114,953,398,338,778,370,040,268,990,251,070,547,134,
140,859,890,952,656,903,505,465,432,648,110,261,045,692,497,614,690,236,812,
567,144,392,065,957,204,358,731,000,492,991,542,902,788,959,900,853,162,109,
332,289,672,933,609,094,665,193,118,598,194,699,649,490,470,490,274,901,167,
654,435,777,498,546,645,106,725,562,197,554,069,534,274,705,247,735,574,569,
906,939,658,246,102,985,934,908,853,955,833,874,193,720,664,481,830,013,628,
988,889,407,550,376,503,836,185,880,827,130,892,000,181,427,500,780,986,864,
523,082,133,541,067,010,077,382,359,366,375,737,033,672,837,146,558,305,457,
654,014,166,355,206,692,632,812,633,194,748,677,948,882,461,572,641,125,735,
203,734,707,022,416,627,351,933,379,611,635,979,222,805,669,378,681,440,755,
628,768,313,147,480,101,137,268,184,830,514,541,692,472,847,273,778,803,974,
666,324,676,411,900,606,682,122,397,845,355,309,516,808,364,511,792,291,284,
411,465,242,839,917,302,382,515,548,982,924,071,836,322,760,970,585,371,104,
130,898,363,538,525,873,911,774,060,074,313,981,360,738,773,462,438,536,304,
512,451,175,921,689,142,574,791,735,913,098,539,120,353,433,212,882,645,131,
127,948,499,553,589,429,192,683,136,269,722,046,437,429,335,042,084,944,199,
316,382,842,074,958,946,163,833,934,164,066,022,916,987,083,020,910,218,583,
033,248,784,547,691,604,861,192,348,413,708,103,544,493,099,544,713,528,972,
737,919,932,824,068,050,019,817,166,572,874,450,687,313,271,186,235,489,496,
681,806,084,778,534,372,306,148,706,707,450,116,182,532,889,871,594,745,354,
406,530,016,562,310,580,816,550,375,029,261,265,063,364,412,837,105,068,691,
713,646,181,300,127,109,104,820,864,881,475,373,417,921,147,148,361,911,385,
729,587,459,786,727,828,801,690,997,517,071,542,236,236,637,256,732,257,075,
562,469,753,528,026,459,996,277,825,670,265,050,644,519,067,316,183,541,065,
669,742,314,787,398,812,343,381,795,932,317,652,297,525,646,864,337,605,733,
911,393,626,558,277,317,255,771,198,326,046,290,084,227,476,665,869,673,974,
846,374,113,695,277,971,363,909,195,382,764,072,692,449,346,135,635,113,118,
869,328,208,155,290,467,484,592,732,743,875,440,377,507,398,870,409,059,779,
816,698,363,521,309,098,650,415,135,297,254,172,366,560,556,899,651,323,532,
832,990,384,495,035,276,199,497,656,797,151,299,757,182,139,208,694,791,882,
865,724,573,419,708,863,459,236,662,455,832,906,669,578,476,615,531,375,959,
416,692,729,848,339,762,360,542,423,639,628,979,492,320,348,168,303,591,023,
750,917,049,182,265,128,032,414,072,427,452,797,668,043,781,766,004,919,102,
873,823,699,300,096,474,854,448,189,513,913,018,890,532,236,649,359,239,691,
041,883,189,651,810,395,033,624,833,461,104,560,977,499,699,117,695,401,409,
772,134,915,038,313,059,071,748,279,817,917,690,824,637,725,073,583,787,525,
831,474,801,015,725,760,402,210,540,261,620,783,779,286,072,998,350,806,803,
706,233,839,861,740,981,481,525,765,116,930,190,030,172,698,388,692,462,266,
541,924,500,438,458,279,341,894,037,669,838,583,635,362,302,602,758,143,460,
492,732,404,663,662,113,408,350,095,894,249,187,190,450,702,671,305,474,899,
571,587,981,796,764,038,016,848,751,792,104,574,663,343,802,026,985,376,572,
663,408,262,247,974,836,353,065,379,126,365,252,472,337,495,925,741,856,580,
997,859,048,987,830,280,638,208,179,031,989,185,470,164,770,967,216,978,956,
337,383,950,269,972,216,420,008,426,851,033,949,673,351,841,814,985,660,906,
617,739,570,376,873,449,525,525,788,569,967,501,568,134,253,608,122,044,409,
511,862,580,436,987,543,915,995,277,254,033,846,895,590,548,767,225,707,220,
035,061,777,545,785,404,205,356,621,578,450,540,044,933,370,841,899,012,157,
668,144,437,358,881,926,257,694,012,101,349,985,975,389,703,825,010,353,951,
136,091,003,103,030,509,462,688,520,548,374,708,636,483,534,581,111,428,064,
009,925,297,016,984,157,809,708,837,150,757,643,530,104,587,289,110,606,943,
826,362,919,257,339,477,721,549,923,215,404,537,328,943,117,646,988,061,403,
570,385,543,217,546,837,748,420,537,761,346,515,143,314,995,375,730,541,892,
541,338,568,105,098,392,949,564,403,031,886,950,266,424,333,809,661,819,992,
978,509,951,648,833,444,491,244,747,310,353,504,696,959,190,655,864,219,648,
822,039,793,662,630,362,873,098,958,966,027,137,574,377,037,625,068,884,738,
741,635,585,880,154,419,391,876,466,974,346,504,799,699,901,631,791,808,789,
363,176,931,139,360,596,511,797,505,305,638,003,144,615,768,151,731,188,509,
142,840,625,752,211,160,826,727,364,572,777,190,027,992,238,946,594,075,383,
548,127,881,204,619,939,172,944,435,899,136,059,580,201,874,524,641,150,733,
220,407,153,414,678,048,476,555,411,199,898,245,412,972,218,809,186,418,338,
074,418,702,102,020,638,380,947,798,806,306,396,046,376,157,489,402,200,977,
513,016,987,441,860,463,374,320,043,041,226,939,600,520,530,557,862,595,737,
109,839,104,552,132,897,320,067,432,396,728,501,994,023,810,002,833,618,305,
309,943,850,688,858,187,279,151,898,202,711,378,203,572,572,440,539,016,556,
708,609,254,000,719,911,293,871,861,001,530,371,202,820,365,426,954,851,517,
656,268,668,922,653,512,423,276,415,768,273,388,122,517,311,109,876,933,384,
358,527,568,775,114,666,758,760,113,388,743,128,354,458,301,690,908,631,477,
257,496,088,869,538,692,358,741,194,198,416,896,814,599,871,470,626,733,808,
287,416,915,409,224,836,938,855,651,443,471,457,092,941,813,450,060,863,668,
658,351,770,123,052,575,751,886,301,197,002,222,947,827,051,572,812,210,554,
604,078,983,228,490,960,560,594,740,271,605,194,698,043,116,090,843,523,252,
709,843,732,986,263,177,674,362,007,378,992,195,109,859,285,097,536,224,518,
188,406,482,815,485,857,136,423,249,328,089,210,020,630,166,606,632,772,249,
509,405,785,541,557,558,209,684,123,375,916,810,857,855,629,812,535,333,475,
772,011,853,455,257,326,928,337,706,603,497,286,767,251,642,053,140,126,918,
126,123,177,949,154,476,956,407,410,393,813,368,168,353,312,971,069,971,931,
104,660,046,582,497,076,983,369,676,689,525,787,664,366,340,725,929,825,615,
102,651,653,293,313,962,091,080,063,565,539,381,334,596,186,815,602,990,133,
498,911,882,761,565,747,423,313,912,173,358,276,251,253,114,350,900,597,572,
493,211,286,856,892,011,230,667,594,553,082,192,749,301,055,942,078,118,354,
337,772,364,912,153,138,925,775,375,396,116,425,638,632,012,852,777,878,323,
008,452,222,599,147,599,671,939,653,937,260,204,555,355,378,168,689,459,000,
111,269,520,306,581,433,788,838,753,006,711,437,869,384,505,379,888,421,983,
055,429,726,657,013,044,509,739,729,224,613,861,042,378,747,699,248,186,447,
067,142,744,549,964,873,593,953,404,432,736,946,655,952,630,935,886,191,064,
345,297,913,215,256,412,784,744,768,157,817,027,679,758,266,200,212,587,178,
314,427,020,558,598,150,066,121,706,368,578,958,301,922,560,489,437,823,375,
692,468,024,871,465,750,754,359,319,450,570,045,478,431,898,834,920,587,336,
709,667,191,339,442,108,203,673,802,162,009,875,596,951,903,571,667,629,751,
462,956,392,799,950,597,740,638,456,457,806,301,034,853,728,722,799,011,018,
980,339,993,995,059,960,119,505,208,414,289,900,634,290,447,458,090,429,010,
039,336,337,551,300,532,397,683,894,447,656,421,656,038,977,580,619,043,063,
546,940,340,391,375,779,017,635,787,348,350,031,833,071,257,225,920,955,610,
867,982,873,747,267,247,371,725,066,024,153,777,818,660,184,924,405,889,895,
143,620,839,610,116,890,325,338,303,842,148,357,551,719,699,343,605,700,286,
525,762,205,240,714,367,656,443,503,940,306,258,330,322,061,322,926,439,317,
320,973,337,607,916,648,921,845,303,614,665,596,643,967,351,995,961,322,013,
756,071,325,713,018,514,833,311,876,323,108,145,114,797,486,222,223,648,325,
324,447,541,822,821,883,223,536,630,577,187,888,175,279,708,502,690,173,670,
527,558,587,784,440,556,983,128,186,413,146,686,526,061,364,583,803,564,561,
561,255,186,939,501,474,758,188,483,833,298,178,882,512,252,366,436,245,395,
432,660,484,251,893,500,852,057,934,879,867,780,534,925,650,507,453,478,978,
865,577,588,331,875,695,408,195,156,859,023,528,041,801,052,301,013,994,657,
553,451,901,331,101,041,876,584,191,462,174,902,745,616,571,875,906,362,286,
794,704,992,703,335,117,164,219,881,221,008,837,895,692,589,798,651,656,264,
311,678,239,218,601,417,003,286,682,690,428,729,408,486,374,653,877,799,911,
623,913,166,853,303,914,083,814,791,040,268,744,808,226,308,051,823,206,627,
582,836,070,132,940,612,320,351,674,269,768,104,853,645,329,914,625,504,738,
277,282,123,427,102,138,975,411,909,261,564,764,133,946,733,971,639,139,354,
759,597,459,275,603,631,562,711,745,052,476,130,976,519,820,304,205,907,163,
048,423,661,810,732,625,183,808,036,459,758,204,317,477,680,921,868,928,253,
723,499,004,203,582,704,299,143,302,224,305,070,137,662,908,824,322,388,799,
868,565,911,045,382,164,872,117,770,367,485,105,356,021,784,983,622,423,511,
375,832,160,286,996,810,635,745,228,764,602,266,894,392,466,985,400,266,808,
890,073,246,727,149,737,793,150,623,920,167,874,640,977,542,370,409,565,458,
075,054,938,044,477,605,130,351,197,978,146,274,879,583,983,574,040,316,426,
459,887,544,766,342,813,489,289,448,439,166,567,939,870,827,777,490,312,944,
822,400,463,359,195,993,174,995,408,262,503,238,658,219,691,655,148,746,482,
147,021,589,171,631,598,610,368,978,987,599,131,047,651,387,740,966,635,533,
832,242,321,337,339,882,830,325,735,699,736,000,864,809,404,061,506,492,500,
744,324,817,535,469,166,336,334,086,462,977,787,238,876,764,956,541,967,347,
818,354,913,760,817,054,869,150,201,513,730,813,721,625,863,239,351,045,395,
152,834,708,097,487,355,949,355,402,044,685,852,544,872,708,174,018,829,097,
024,272,371,250,516,349,779,053,142,947,440,125,169,086,118,167,409,176,678,
209,798,653,139,587,169,913,625,046,410,977,337,684,932,969,969,903,831,564,
722,663,683,155,944,875,882,501,272,769,878,419,085,456,095,217,940,515,842,
498,076,775,689,803,755,225,762,851,893,823,235,521,926,939,561,098,607,246,
551,476,151,915,466,293,053,144,230,655,051,189,694,533,769,349,387,005,499,
653,732,235,646,561,499,402,401,003,256,597,975,104,728,403,131,763,839,776,
479,042,757,101,862,984,738,470,976,881,477,250,665,718,689,515,604,578,932,
413,160,730,291,747,607,296,448,570,735,408,382,354,242,185,657,765,678,048,
156,811,271,944,413,829,422,447,812,464,897,961,968,757,194,006,577,402,165,
769,710,452,252,127,580,049,944,092,609,882,632,005,204,474,972,539,298,782,
497,042,944,322,485,501,143,503,191,759,652,907,526,664,010,904,322,886,041,
929,894,199,067,958,911,820,771,734,207,670,693,918,974,415,200,229,217,011,
771,498,700,938,162,075,782,096,077,745,791,446,682,149,173,544,778,433,291,
514,884,921,086,002,786,476,350,715,459,503,566,675,901,014,173,231,222,049,
350,721,116,099,299,788,643,682,560,722,420,241,840,515,729,842,922,875,200,
238,877,447,398,817,054,697,268,502,991,067,312,857,932,075,956,640,167,203,
219,091,838,199,215,705,713,026,005,711,576,301,713,943,566,712,808,371,307,
512,388,994,659,588,586,360,761,716,637,311,718,339,500,106,273,375,909,764,
043,421,239,310,257,923,783,196,931,326,508,908,693,288,445,687,888,205,104,
063,671,065,592,446,591,652,651,937,282,130,944,645,331,774,355,262,433,807,
235,077,064,367,425,219,270,105,736,070,808,113,838,304,096,162,491,353,944,
504,782,576,387,147,152,059,260,699,040,986,492,990,507,441,644,724,130,855,
643,996,416,947,224,139,911,335,542,986,572,531,842,180,940,700,937,606,645,
602,941,241,906,842,493,645,408,259,985,284,189,576,306,215,554,434,298,625,
302,172,818,801,720,102,199,873,369,856,951,788,392,849,147,382,766,706,293,
299,615,653,720,807,457,373,106,756,090,076,931,625,541,314,860,694,914,025,
989,319,281,907,166,583,962,447,185,431,897,794,953,507,811,904,829,333,604,
881,467,488,816,325,752,949,696,661,516,447,636,861,224,002,463,954,599,995,
983,157,545,908,503,754,616,510,478,372,234,054,597,183,739,463,429,868,913,
127,046,120,871,582,380,631,640,597,536,185,954,061,697,497,197,185,406,798,
178,554,744,017,090,787,779,386,454,541,014,385,578,783,739,057,746,135,763,
396,586,497,235,438,797,613,218,434,746,479,994,430,999,651,064,842,123,670,
925,587,703,346,840,879,583,846,845,921,448,194,179,935,577,451,598,225,234,
487,078,263,879,989,847,854,518,563,808,554,355,890,820,174,864,615,648,438,
885,393,757,077,665,675,599,773,628,791,657,577,439,920,826,810,354,338,247,
923,290,453,937,448,833,949,765,738,595,354,913,691,323,120,537,889,032,335,
828,710,496,700,583,798,933,761,692,373,500,857,587,339,398,126,183,857,809,
941,017,726,733,812,875,720,788,717,895,569,794,544,141,485,503,392,978,530,
210,290,538,822,993,019,212,610,450,200,379,517,519,893,177,028,258,305,491,
865,199,753,407,968,371,748,658,119,316,476,085,456,393,054,842,741,182,087,
830,293,628,335,829,030,356,608,237,671,039,245,589,924,191,284,767,354,949,
582,002,599,221,407,762,282,224,309,669,683,246,428,072,227,252,358,795,513,
474,535,208,331,767,376,370,833,509,058,668,444,430,216,818,678,155,177,071,
569,368,249,594,974,996,689,160,815,021,752,277,957,985,998,141,307,756,130,
848,533,546,048,462,042,109,663,326,235,216,203,334,102,491,160,228,013,508,
896,872,352,353,588,576,882,802,699,726,239,816,108,164,863,559,675,790,349,
245,407,903,996,208,697,731,925,123,506,908,488,517,697,634,514,858,064,632,
590,473,016,039,719,379,770,256,242,114,235,709,035,629,657,018,946,522,050,
426,052,925,053,389,780,363,768,341,441,301,287,715,011,631,855,945,961,486,
822,862,093,149,138,173,544,754,305,903,926,526,671,598,071,144,158,839,421,
078,463,812,968,595,565,013,201,908,638,006,479,834,940,330,686,124,731,086,
025,150,491,032,408,513,772,651,994,885,141,450,491,076,295,208,320,403,710,
387,543,554,475,180,251,774,330,145,398,959,063,401,682,467,366,224,837,423,
284,158,191,838,546,673,965,261,879,808,689,820,081,745,048,575,015,790,499,
407,896,758,569,218,578,804,309,749,959,230,488,822,993,432,020,149,668,026,
451,756,558,477,956,485,640,089,437,148,410,516,771,220,038,442,478,393,721,
050,863,849,161,679,750,182,087,090,482,630,906,488,599,732,462,319,548,147,
626,412,662,297,908,417,774,270,271,950,083,151,919,234,772,699,527,902,465,
443,404,868,063,572,750,346,853,972,350,914,482,442,538,602,909,861,687,077,
272,571,429,973,609,490,493,308,820,247,961,841,523,573,514,189,643,171,070,
349,414,875,648,960,473,051,920,580,873,743,733,624,507,750,460,421,976,916,
937,135,224,391,654,622,668,765,483,362,827,297,865,156,179,902,450,656,920,
338,994,863,755,108,245,711,668,596,852,499,945,864,961,854,238,849,542,943,
476,533,077,085,420,102,202,734,478,875,079,965,573,931,772,224,957,729,930,
642,571,994,564,565,079,095,060,567,781,479,366,781,354,922,971,397,112,555,
634,669,619,947,551,827,554,436,036,903,883,898,725,209,809,582,422,053,367,
503,589,226,418,304,109,540,057,245,089,178,863,316,570,391,580,373,125,234,
638,969,397,721,232,964,476,905,140,560,189,601,769,505,626,492,456,278,184,
587,963,742,629,920,339,671,560,272,293,695,471,410,361,602,546,657,839,735,
111,018,580,196,031,087,906,625,895,799,026,773,959,372,993,527,683,295,510,
030,282,260,322,151,891,297,576,235,132,050,072,793,496,203,794,524,342,620,
573,005,127,352,956,312,584,109,310,359,409,641,044,199,205,171,107,185,902,
444,639,352,974,875,322,334,908,984,305,634,635,717,202,906,016,013,743,550,
688,838,515,524,860,932,524,078,260,239,229,098,653,358,398,037,244,648,150,
538,715,047,232,729,550,393,351,245,624,054,378,180,037,617,502,738,624,305,
746,838,434,417,704,930,526,204,088,146,754,011,603,054,998,338,423,825,607,
430,537,698,580,886,490,093,642,057,108,430,580,149,727,104,526,140,464,621,
960,349,571,544,259,012,662,204,291,566,897,097,394,634,904,326,273,275,792,
919,001,273,489,710,179,696,855,482,177,249,717,632,387,158,403,418,869,601,
556,435,313,531,022,873,615,726,913,733,870,455,605,283,362,913,683,038,803,
641,749,327,964,889,817,075,686,781,281,986,209,945,028,621,382,605,312,803,
741,928,190,822,609,072,996,491,820,672,143,440,665,945,005,160,940,384,316,
264,556,861,334,035,731,544,427,908,695,322,677,334,062,857,972,422,987,143,
723,904,093,005,368,718,141,999,588,016,034,740,517,896,022,872,519,490,684,
648,685,889,088,700,733,672,013,359,037,238,178,419,624,194,437,505,112,115,
641,203,016,879,764,039,441,230,608,914,387,294,405,503,888,402,893,677,598,
894,695,066,202,224,852,245,358,866,254,513,814,646,809,272,740,786,218,897,
205,310,318,176,634,426,380,218,489,989,895,765,999,509,756,283,331,425,051,
781,244,215,123,056,861,244,666,234,338,003,499,011,871,258,783,420,149,035,
318,377,843,256,950,053,739,391,515,691,488,859,566,287,965,921,595,162,059,
386,185,975,672,680,764,171,352,365,147,815,512,060,703,558,653,346,172,723,
715,758,055,101,852,246,387,187,921,495,282,290,798,659,983,946,505,354,172,
529,492,981,029,210,574,094,899,916,089,065,787,437,110,355,834,934,056,149,
868,450,932,437,790,376,091,399,051,856,836,308,311,980,090,111,758,879,606,
032,376,459,033,319,748,160,211,592,894,185,930,021,880,684,437,026,458,257,
126,398,700,005,669,173,777,788,085,237,695,047,865,729,906,366,233,693,917,
684,686,538,361,967,252,506,727,402,931,091,391,174,966,700,164,058,218,904,
788,055,420,150,648,914,505,277,186,238,933,997,433,640,214,477,225,818,969,
504,330,273,638,813,893,567,266,745,241,127,658,395,328,721,336,717,498,499,
241,055,516,556,127,778,815,514,971,994,707,547,195,888,039,904,919,973,187,
606,126,704,294,187,979,405,594,175,243,071,566,057,463,112,213,777,878,350,
602,390,767,873,520,664,350,056,237,636,854,985,779,791,917,049,248,822,551,
386,771,688,140,321,577,818,008,729,096,987,154,898,312,030,528,611,934,510,
786,979,406,045,831,987,436,525,058,543,177,445,565,679,171,477,501,710,521,
179,544,228,798,448,409,306,582,855,626,457,496,655,745,146,359,308,279,775,
377,872,669,666,222,198,949,518,235,441,301,266,192,774,512,615,878,860,520,
841,400,509,825,266,480,056,465,629,459,314,803,260,720,607,840,038,397,533,
203,415,046,954,700,035,177,897,491,653,882,496,364,511,742,466,076,433,808,
015,576,912,286,950,962,178,400,060,582,821,203,588,402,595,282,559,347,098,
702,286,529,642,751,271,369,553,064,618,927,975,841,524,162,564,638,185,456,
995,884,212,551,673,666,331,550,829,704,038,046,335,720,096,791,015,538,814,
084,125,984,928,822,116,779,016,913,699,705,764,764,871,593,665,825,410,726,
166,185,860,266,770,576,903,430,188,435,642,141,736,512,057,726,081,411,054,
133,837,333,455,705,339,047,992,818,920,192,563,453,183,668,632,876,558,796,
902,771,052,353,953,164,649,815,856,565,423,871,874,966,832,409,947,186,225,
022,865,142,698,373,433,869,086,891,833,458,114,656,806,254,375,090,003,651,
526,935,906,055,204,034,564,146,918,541,171,837,234,118,098,674,169,533,450,
674,500,785,402,561,182,933,970,863,972,419,985,061,787,177,031,188,735,113,
823,189,087,246,958,515,798,501,484,596,322,918,501,926,058,656,763,143,976,
317,324,201,135,745,131,362,658,528,834,734,424,512,237,049,679,347,551,389,
892,573,590,008,435,925,428,272,195,759,804,373,702,740,500,835,778,739,728,
161,372,843,864,978,968,370,630,512,446,117,691,778,089,693,463,720,317,727,
407,708,686,833,323,623,066,754,847,073,266,877,731,590,999,057,265,870,272,
446,857,177,214,825,247,197,653,594,761,180,534,092,151,772,652,525,432,908,
099,791,564,814,269,051,670,653,806,851,371,016,236,568,832,140,337,984,331,
313,640,188,302,515,333,996,695,680,088,456,873,479,309,786,008,511,639,437,
588,241,589,687,081,072,626,641,656,444,766,407,626,686,645,788,317,958,993,
148,985,637,388,074,242,476,621,676,581,347,012,571,497,784,313,367,787,996,
326,151,678,149,379,550,088,799,370,743,787,871,538,095,908,266,945,707,361,
848,502,396,380,705,916,479,333,410,058,064,419,504,734,294,688,549,368,471,
902,908,896,156,009,880,714,394,730,992,025,537,081,104,174,455,817,795,492,
229,606,212,511,060,093,537,869,002,443,833,948,235,740,346,012,385,840,394,
454,168,444,171,030,448,172,231,513,530,690,175,326,455,211,691,462,193,292,
049,281,383,710,377,975,780,035,402,987,692,303,602,174,469,255,778,663,998,
254,897,987,484,352,035,643,813,703,887,935,663,689,971,254,676,802,580,072,
857,389,474,364,770,407,832,331,364,750,435,557,049,753,613,767,885,117,052,
009,688,301,223,707,854,462,388,684,757,039,127,682,770,855,917,001,230,650,
360,680,614,190,330,208,718,617,462,045,767,607,904,111,466,751,086,517,183,
921,455,058,504,940,923,449,136,038,587,338,809,778,349,356,097,621,705,759,
646,137,024,321,165,119,787,690,061,048,368,292,396,933,100,409,013,370,673,
567,430,916,423,470,692,078,322,312,534,939,367,034,950,130,046,990,692,796,
173,899,336,777,494,930,450,794,564,573,942,529,188,737,548,632,490,750,628,
348,695,317,984,643,245,613,351,309,535,072,799,501,577,007,838,754,764,663,
893,068,255,078,301,995,364,694,822,276,549,333,898,669,394,316,852,753,212,
739,093,180,298,089,878,115,168,639,914,711,023,654,922,314,478,848,521,907,
842,949,932,504,910,471,412,276,230,073,885,178,932,704,286,144,680,576,684,
666,906,510,590,192,725,689,412,416,400,615,832,052,759,043,108,433,213,801,
808,564,662,080,231,519,695,623,721,579,224,517,406,663,739,394,444,976,360,
099,506,973,958,952,044,548,124,735,219,088,897,508,796,665,767,942,356,211,
717,475,376,120,728,831,727,720,511,000,443,852,790,329,199,028,239,639,065,
578,028,882,330,713,624,419,734,215,594,469,149,741,602,774,029,145,288,793,
388,681,411,634,253,707,306,728,709,718,050,218,212,467,983,049,975,899,899,
411,519,594,449,913,339,062,460,121,538,883,039,393,725,965,684,010,399,689,
201,887,683,311,686,262,591,652,366,031,282,960,843,656,107,607,426,946,811,
567,802,747,011,034,779,572,356,685,120,630,835,655,908,503,861,157,603,408,
157,493,229,827,064,838,969,833,224,921,762,683,285,129,481,332,025,488,050,
875,672,714,092,056,719,474,346,176,238,685,787,361,702,553,891,913,660,824,
485,776,000,428,659,954,109,217,114,775,530,724,786,414,392,162,665,998,423,
721,082,824,215,764,920,598,654,906,979,801,575,972,581,501,008,361,895,588,
549,910,502,558,500,812,822,570,881,743,637,115,353,399,639,570,774,728,300,
862,662,858,998,707,246,105,741,353,144,337,590,975,855,016,185,258,207,478,
954,803,498,641,642,312,806,093,245,566,874,529,437,786,470,372,778,199,705,
387,777,799,447,384,946,894,388,558,130,160,622,398,735,909,013,305,016,099,
557,100,743,679,591,142,775,880,006,180,663,359,941,526,795,020,876,124,893,
734,532,635,916,103,799,404,300,626,007,780,822,495,255,249,100,965,167,586,
761,148,477,898,334,621,030,884,738,278,838,449,323,053,593,716,153,477,709,
498,113,074,488,760,421,297,843,071,381,244,708,312,841,847,862,730,814,087,
178,327,225,683,248,192,077,082,437,043,587,605,860,655,086,556,310,846,774,
210,388,537,988,672,988,515,850,956,698,636,163,680,734,456,954,361,775,489,
044,110,968,638,236,454,738,775,801,854,128,348,254,002,174,331,013,092,222,
312,498,010,262,764,805,610,817,448,924,263,298,376,591,484,977,382,589,439,
518,421,664,747,464,661,953,052,239,545,169,613,286,143,794,279,220,144,966,
045,515,982,801,290,669,650,400,747,108,714,813,913,871,785,859,930,735,662,
954,603,774,223,046,703,701,685,676,806,715,153,706,510,942,557,863,325,847,
589,896,544,368,193,909,726,502,651,404,601,674,446,596,924,802,274,158,033,
030,257,858,121,432,121,514,586,458,355,264,432,083,410,030,223,070,169,557,
042,726,518,926,704,613,851,656,674,057,902,881,681,522,615,216,268,482,374,
869,316,037,814,116,973,793,789,392,708,536,858,817,224,755,431,054,914,873,
883,582,518,995,047,626,513,568,397,191,568,024,339,993,154,988,194,322,983,
511,371,958,824,596,226,736,342,065,385,655,405,389,345,054,468,724,766,771,
894,159,496,135,630,455,291,734,647,176,345,078,708,720,550,257,454,910,732,
520,662,466,077,179,439,449,809,822,747,849,365,791,011,711,708,631,006,847,
324,270,452,290,993,188,175,932,948,168,474,094,596,804,860,059,166,132,254,
400,464,902,665,496,360,016,226,893,747,750,579,561,897,789,710,188,421,169,
496,447,132,811,761,394,620,952,847,993,661,691,957,617,244,807,879,321,823,
422,830,513,096,664,515,284,153,464,500,868,542,153,778,605,215,501,763,845,
461,851,021,056,157,876,118,260,221,022,955,703,856,589,471,123,118,399,991,
820,562,916,645,463,968,215,351,700,292,713,642,445,751,905,087,194,300,513,
397,276,136,256,426,375,052,692,356,595,829,018,789,326,610,847,447,063,497,
842,842,477,781,495,578,094,678,497,584,832,818,239,117,365,400,026,605,682,
525,116,657,655,231,671,857,703,422,910,892,718,594,616,067,749,218,224,139,
207,602,447,163,246,863,085,252,544,446,960,684,042,044,759,649,750,240,127,
825,008,331,890,195,144,485,308,224,923,073,711,023,594,272,148,817,336,249,
375,168,505,498,468,324,908,862,578,114,519,406,428,649,796,111,167,708,466,
842,161,712,945,223,510,287,854,791,791,254,363,434,220,416,062,011,466,072,
562,860,747,627,404,222,638,113,403,686,386,423,717,190,273,603,559,826,108,
027,476,395,137,704,384,877,036,062,555,948,166,856,783,168,561,893,458,909,
770,088,050,355,422,562,391,761,206,906,655,054,688,116,211,315,639,775,807,
491,116,515,158,792,699,195,634,537,712,439,366,819,307,387,202,527,244,119,
584,019,350,380,717,265,458,520,303,814,090,186,151,831,490,853,276,551,064,
869,097,215,438,436,617,731,800,585,610,839,816,331,265,477,523,616,819,670,
736,677,549,073,508,800,360,896,361,305,645,880,208,312,470,092,942,383,628,
094,866,774,022,871,733,572,293,344,276,516,667,340,154,568,533,996,439,481,
741,685,774,837,853,743,799,550,217,103,514,437,286,504,232,497,050,405,201,
490,158,298,321,344,216,713,347,492,970,391,315,269,437,256,051,780,919,857,
963,623,343,645,292,731,100,295,426,050,126,166,967,031,216,496,858,296,050,
453,057,946,246,372,854,877,084,389,893,592,469,730,631,915,655,206,900,457,
238,575,536,924,971,707,942,665,897,664,063,110,201,690,673,207,727,618,379,
872,915,291,335,727,709,223,861,704,067,054,595,450,775,537,222,682,000,000,
000,984,592,897,714,734,017,949,314,558,613,238,362,849,243,108,265,774,031,
590,120,799,380,135,695,968,958,391,534,879,746,488,138,924,952,884,399,947,
140,891,970,006,308,405,156,697,727,243,484,267,049,359,938,347,912,081,072,
113,886,310,189,024,615,468,457,118,410,037,716,728,232,307,759,949,699,110,
080,845,158,943,225,903,941,505,054,176,138,631,506,544,582,348,335,937,398,
646,526,872,607,693,747,625,209,279,202,036,882,389,432,792,889,509,443,915,
659,015,498,200,252,316,464,016,359,374,844,976,780,860,099,474,485,181,449,
049,019,489,092,555,838,928,281,184,616,169,249,336,081,515,197,422,342,298,
047,361,832,298,804,337,000,868,829,801,544,827,421,103,516,265,050,754,554,
696,335,823,737,530,749,690,172,410,075,931,053,440,870,625,894,565,536,806,
002,687,187,344,555,172,827,873,250,510,126,661,373,026,268,680,504,821,435,
363,527,043,758,663,209,248,850,558,761,481,887,354,458,159,094,184,019,494,
177,620,488,498,151,137,478,138,670,688,540,847,974,789,023,072,011,995,630,
791,850,142,568,923,954,866,039,977,806,377,892,885,500,770,787,593,064,113,
354,096,299,665,405,992,976,985,928,438,737,215,438,896,085,357,806,838,019,
248,351,615,472,637,918,806,525,833,234,317,497,192,223,346,289,006,899,995,
895,383,483,163,525,868,404,990,064,561,366,711,470,273,869,080,723,979,677,
031,890,376,388,186,575,145,377,508,370,072,028,261,674,220,858,527,081,255,
458,102,886,616,417,606,953,855,900,283,982,482,308,653,113,094,761,462,098,
090,276,873,013,203,114,046,645,749,482,404,871,263,769,229,025,796,577,918,
171,391,358,275,193,001,287,384,666,358,044,121,971,069,539,644,516,992,018,
071,735,823,690,703,696,811,497,468,569,781,415,566,874,421,424,869,996,428,
367,005,497,308,450,115,617,964,670,595,055,373,499,967,932,633,110,356,595,
339,659,021,747,149,969,102,270,320,971,286,646,683,293,825,010,358,834,829,
811,165,616,599,250,066,201,988,623,145,477,962,604,832,785,410,251,669,432,
088,743,774,633,395,181,802,838,534,827,705,967,225,684,797,547,638,307,501,
922,419,093,077,089,332,208,440,863,184,291,618,381,295,838,993,576,445,849,
992,377,772,787,001,785,389,859,790,042,296,821,941,254,533,648,619,920,176,
199,512,386,395,334,308,583,236,475,855,838,467,476,368,324,613,429,387,496,
581,296,523,353,216,235,352,340,140,293,445,383,707,370,919,806,352,498,981,
255,471,542,590,773,527,619,466,782,779,415,417,368,574,034,392,111,469,659,
986,186,689,459,311,744,884,230,133,997,565,321,705,975,983,755,733,631,319,
450,531,114,103,720,538,850,079,274,027,841,999,435,863,343,320,435,146,971,
332,545,203,533,670,359,993,973,681,970,026,918,379,734,663,954,930,494,890,
195,841,286,734,436,158,762,796,610,326,481,094,446,927,778,999,202,206,820,
687,475,134,463,818,718,922,405,952,439,294,842,057,637,140,384,321,116,631,
634,156,212,323,772,600,682,479,629,111,725,245,744,613,882,734,615,191,283,
514,670,589,903,546,872,983,235,316,024,178,820,146,900,997,176,419,215,477,
304,696,050,127,900,589,708,081,795,444,678,465,415,207,906,837,303,101,574,
326,397,112,259,038,868,158,449,286,027,695,712,099,848,568,184,647,959,942,
948,093,504,210,033,591,277,211,086,897,438,682,941,289,354,950,777,156,032,
833,565,643,371,817,927,560,590,266,778,105,001,597,893,264,365,315,575,656,
749,587,275,586,191,955,015,277,145,168,450,233,537,037,507,959,950,604,139,
567,794,715,238,937,935,052,895,380,280,896,918,255,023,682,630,573,979,490,
132,865,831,186,306,017,870,341,581,160,164,009,678,313,345,214,826,629,421,
123,153,248,261,348,718,535,651,937,546,580,547,893,211,866,977,434,465,346,
948,094,009,840,362,846,002,473,194,449,110,599,391,660,957,672,211,533,978,
948,038,532,397,788,798,003,925,282,955,775,290,442,860,181,015,165,974,196,
337,265,927,987,985,991,327,592,684,709,213,027,138,248,282,061,705,046,934,
517,023,832,686,070,103,159,641,029,163,380,161,097,425,069,906,650,275,223,
499,105,694,095,151,498,072,280,303,321,636,594,732,279,061,838,488,259,181,
391,906,125,870,698,022,011,337,170,021,944,933,849,681,251,534,548,254,602,
794,328,633,871,116,662,175,237,285,138,590,447,238,447,214,507,574,963,912,
964,815,279,897,760,694,593,147,820,579,599,759,883,845,124,372,093,850,079,
845,911,258,853,242,187,992,193,592,546,607,903,840,595,653,084,430,218,801,
515,914,062,015,543,471,173,713,722,586,384,556,292,499,089,361,076,017,905,
807,157,570,801,544,984,177,540,704,635,491,170,892,778,351,558,247,730,097,
872,507,947,232,032,156,390,197,713,313,598,296,152,168,597,768,154,278,377,
713,059,606,858,683,262,593,122,551,477,042,851,152,047,595,349,626,184,042,
146,218,081,037,387,061,773,856,240,021,435,308,348,142,216,987,474,740,528,
408,475,441,867,491,192,484,236,273,010,923,544,883,155,483,416,964,634,764,
415,319,755,111,600,191,713,287,480,424,685,785,776,912,713,469,862,887,338,
445,054,608,626,346,046,323,686,503,234,952,866,696,394,427,059,839,479,348,
922,157,106,604,537,839,186,513,295,588,634,085,647,107,773,007,557,668,615,
595,565,849,585,460,102,413,575,611,679,241,196,185,794,876,005,002,326,443,
463,983,652,121,061,230,623,669,502,379,123,952,113,746,267,074,491,148,069,
583,167,026,553,176,100,293,984,836,092,981,583,195,820,691,326,850,510,400,
228,134,882,366,433,860,693,470,712,008,653,914,724,744,627,561,525,628,286,
519,118,374,453,152,123,352,894,476,632,667,250,174,830,146,032,923,901,529,
502,848,473,361,917,949,384,009,951,640,840,318,386,956,665,204,278,600,859,
309,201,432,962,571,406,786,371,191,798,509,378,668,790,960,424,639,437,376,
776,504,464,544,527,628,267,947,111,367,040,282,899,694,356,116,748,866,908,
614,838,706,238,234,885,278,527,727,047,455,788,146,551,054,377,335,676,652,
844,825,308,474,440,004,392,180,837,829,627,959,449,601,576,319,451,378,689,
727,338,661,397,980,894,054,139,899,532,183,770,475,441,194,228,009,750,567,
213,855,068,469,392,541,970,030,714,282,442,236,577,553,739,045,054,741,813,
423,975,998,298,488,131,950,756,079,913,955,759,087,155,337,061,834,439,042,
077,841,930,838,177,217,275,974,356,448,942,399,424,906,334,271,980,345,925,
020,845,169,042,658,652,052,845,108,106,240,943,358,126,853,180,906,065,463,
608,099,166,881,249,788,753,655,440,359,766,113,132,403,704,349,567,594,074,
949,787,793,870,764,839,381,421,636,519,439,311,818,507,098,317,096,910,813,
182,705,524,162,737,674,468,270,037,766,157,800,500,019,219,222,183,370,283,
399,642,449,514,566,551,102,565,345,809,056,860,207,120,675,074,418,172,782,
407,258,147,000,912,109,149,372,155,264,950,349,280,468,565,287,506,393,501,
706,724,054,793,535,023,652,424,469,780,313,019,374,931,019,523,999,906,073,
761,385,549,899,911,958,483,814,740,856,333,938,357,443,432,471,943,079,233,
028,388,388,802,335,847,939,192,720,876,945,173,544,971,677,535,051,390,019,
194,252,649,743,838,690,146,974,846,910,235,294,941,737,754,787,813,128,477,
609,122,273,463,290,221,945,669,325,560,340,131,806,509,382,988,175,112,330,
948,093,350,002,291,506,887,241,211,702,072,537,540,657,193,172,059,739,680,
482,783,959,915,962,037,266,892,823,629,618,592,856,768,887,800,083,997,034,
695,631,128,747,669,924,598,186,446,647,142,755,595,061,873,078,262,382,879,
102,682,217,192,747,386,785,277,641,554,026,042,209,865,100,276,949,981,134,
758,606,906,751,974,845,070,985,367,616,791,800,107,685,547,917,134,420,163,
356,184,132,740,409,122,546,942,237,121,546,062,557,010,513,910,575,093,372,
447,859,174,880,886,454,627,260,845,413,328,252,776,051,274,535,015,753,020,
949,839,137,031,320,853,425,790,685,046,958,255,666,753,019,645,065,404,573,
251,822,147,053,508,992,372,219,956,603,822,145,414,638,565,356,406,165,640,
486,219,393,225,766,750,941,251,505,378,813,926,906,675,385,935,384,113,607,
735,349,396,132,996,284,409,510,499,068,604,197,815,764,668,146,285,813,063,
153,493,122,220,698,402,777,686,221,271,686,990,408,226,347,607,504,206,062,
450,647,823,479,843,409,332,239,167,894,492,290,542,981,384,649,521,632,599,
785,074,439,532,660,625,960,508,531,497,866,307,997,289,122,286,008,578,716,
259,437,161,329,346,649,830,598,874,386,506,143,989,601,955,612,638,981,199,
055,227,409,915,188,420,075,745,610,819,574,835,152,750,215,362,729,119,240,
578,815,531,754,278,094,453,158,490,714,293,801,387,316,276,176,357,981,649,
606,808,528,972,253,882,890,795,611,108,494,687,379,515,151,905,313,831,661,
057,119,082,436,461,406,171,862,635,878,539,457,834,152,179,629,365,950,166,
307,071,670,776,127,300,520,786,757,793,906,601,931,475,019,403,326,025,764,
510,831,222,525,336,638,318,780,729,625,984,776,401,942,188,968,200,895,666,
690,425,859,718,157,543,809,858,731,468,689,224,209,811,730,265,461,784,019,
797,709,342,775,989,233,459,191,454,127,624,585,725,153,584,779,692,124,592,
809,713,970,059,898,133,317,071,750,793,156,812,404,102,864,840,688,940,605,
349,829,680,880,090,516,774,575,053,356,010,398,816,299,125,072,332,068,516,
768,526,095,093,894,270,735,970,692,849,399,410,459,181,889,735,752,043,293,
349,479,947,604,420,889,547,137,204,530,909,138,821,844,982,638,212,881,314,
934,579,793,897,858,279,482,561,667,021,929,887,357,281,308,846,668,012,515,
379,586,655,979,539,417,381,895,325,765,375,904,167,285,557,089,842,927,829,
605,429,969,850,638,235,827,642,591,525,516,019,964,079,857,300,533,692,541,
407,568,886,364,430,896,009,541,274,145,165,239,351,629,200,909,614,461,847,
653,110,463,468,183,361,998,969,602,644,240,956,101,851,150,342,081,735,757,
598,571,682,807,172,690,265,031,645,877,592,295,035,744,823,547,748,427,945,
731,517,755,709,622,661,419,344,405,623,585,624,713,081,470,731,895,808,245,
314,578,764,005,255,081,500,953,388,253,944,829,951,180,233,576,418,570,469,
472,311,594,688,825,958,004,633,420,030,698,082,927,450,944,829,949,265,411,
889,703,525,654,923,664,739,325,379,615,382,743,085,634,992,375,467,495,754,
090,714,115,808,558,585,705,940,990,882,598,992,602,866,256,489,157,795,267,
870,336,564,920,463,099,077,615,445,487,581,741,505,052,529,068,751,673,048,
347,176,218,352,127,896,562,714,378,292,020,529,284,220,514,337,054,810,292,
525,587,712,112,225,431,152,638,802,417,782,067,952,626,878,124,426,354,501,
113,585,979,626,894,156,531,160,093,156,528,009,268,289,722,167,727,046,446,
686,665,088,685,715,674,395,964,672,259,497,637,276,388,779,316,235,548,896,
785,566,710,339,913,840,911,829,771,558,224,997,596,530,831,782,069,984,878,
192,777,201,300,875,422,077,136,003,617,416,788,722,168,765,962,424,579,406,
438,687,813,307,028,399,992,607,517,854,026,298,294,037,995,569,587,438,246,
444,368,742,921,994,485,093,823,353,727,385,807,068,517,572,551,835,572,542,
120,871,438,758,398,332,512,816,439,516,918,099,326,432,885,438,615,688,660,
435,051,700,429,089,184,633,737,663,364,862,414,048,747,045,553,212,709,399,
331,898,575,642,676,367,466,282,738,028,640,881,062,378,443,555,906,976,286,
663,809,718,488,895,722,437,432,423,520,690,131,744,959,437,944,452,193,711,
224,661,083,176,924,520,622,341,896,534,343,581,971,637,471,373,158,923,475,
842,663,855,944,284,989,081,545,774,294,410,008,609,740,490,764,609,498,304,
667,789,168,837,847,072,501,514,273,192,596,733,099,419,956,364,833,738,723,
259,418,855,840,287,386,233,478,271,280,444,692,255,945,209,881,449,733,562,
237,368,951,249,369,098,756,410,214,976,752,749,652,746,984,260,240,509,879,
772,916,938,836,896,383,265,308,063,419,750,572,870,602,778,252,273,962,679,
882,315,209,482,574,158,237,425,706,614,375,928,051,822,099,864,989,943,665,
558,152,134,603,033,916,406,153,165,184,124,279,192,855,702,979,067,768,754,
331,375,040,853,106,846,927,538,363,074,810,160,992,528,870,834,086,786,763,
742,964,512,828,261,877,302,053,923,399,905,797,824,091,034,813,017,243,569,
320,995,940,864,231,609,161,484,561,941,873,841,430,518,847,142,516,222,066,
774,122,310,895,591,542,517,876,755,201,162,348,476,287,570,629,082,687,453,
500,039,018,221,323,595,536,204,885,835,267,450,545,141,400,907,547,478,754,
150,537,440,088,267,193,362,743,235,662,833,964,075,696,330,915,364,907,431,
321,324,179,656,729,653,551,900,904,206,567,043,272,922,044,580,234,306,378,
142,986,251,643,387,298,421,093,951,458,864,987,515,705,055,135,972,981,413,
710,476,042,680,782,842,462,686,865,738,110,167,008,664,304,073,578,619,898,
985,502,668,964,828,114,619,643,906,618,041,125,108,640,997,980,565,538,910,
594,453,519,560,352,587,977,770,625,975,533,033,273,095,679,065,520,390,227,
366,250,121,622,864,965,499,969,739,657,360,527,858,259,849,322,179,767,381,
131,973,567,951,303,211,002,591,522,586,358,619,392,112,490,382,877,755,798,
704,283,555,980,290,072,581,804,841,114,491,592,342,961,310,183,742,010,765,
502,566,851,534,036,657,846,151,306,895,755,461,514,288,401,339,004,220,723,
938,559,690,423,329,295,343,483,302,959,031,560,588,499,229,553,814,232,176,
931,976,120,230,984,055,512,732,016,206,624,672,693,423,943,985,142,451,945,
925,769,429,831,030,385,524,774,359,677,164,286,852,238,027,916,660,057,633,
882,038,467,557,542,160,543,656,592,203,591,774,934,457,189,013,047,939,192,
543,450,062,881,420,113,838,790,139,448,212,834,089,293,730,053,678,376,784,
985,885,716,290,978,369,473,652,917,398,998,404,423,963,291,010,883,844,342,
892,823,624,203,698,718,705,983,223,570,840,914,230,157,203,518,191,710,669,
971,547,741,754,492,013,127,777,368,639,771,206,242,908,720,394,025,497,308,
803,506,840,250,130,051,222,242,007,820,461,437,472,338,935,893,645,980,487,
908,334,603,728,369,428,051,384,474,815,344,019,560,492,912,428,550,405,990,
905,161,376,405,905,425,888,799,073,282,271,595,583,427,042,972,970,022,557,
668,924,565,914,350,590,846,129,127,426,830,602,543,578,138,192,064,880,522,
054,930,043,663,442,797,300,704,608,184,806,199,606,095,070,505,731,810,371,
302,811,737,797,336,007,952,153,934,078,776,346,620,331,877,495,693,287,039,
509,351,878,542,168,283,263,292,031,468,671,561,855,967,949,147,618,165,796,
400,413,717,801,782,450,996,199,502,671,515,043,175,986,447,505,412,088,880,
619,569,268,740,729,498,443,839,018,453,709,586,069,748,791,606,745,935,867,
249,219,970,732,072,305,778,866,421,231,178,179,636,467,317,374,669,482,496,
622,186,737,513,047,364,382,018,479,568,394,492,673,777,010,366,776,765,449,
877,885,057,696,330,293,271,438,441,448,180,598,075,469,319,216,211,650,466,
636,607,178,661,279,720,957,431,504,522,190,124,565,534,827,878,966,155,381,
211,564,302,444,351,439,037,459,929,655,087,679,969,648,584,324,259,659,841,
932,843,928,478,885,044,478,938,304,033,144,232,450,499,331,662,500,600,037,
282,064,586,181,222,461,675,776,626,153,489,700,114,084,438,690,549,522,111,
723,034,481,560,840,089,923,892,411,107,140,607,440,415,492,235,209,073,244,
439,941,888,130,463,797,703,173,668,323,308,275,761,040,132,809,917,142,518,
035,158,260,124,742,078,941,979,021,742,597,955,449,794,680,038,887,666,973,
920,940,702,361,618,720,431,382,136,205,504,819,029,273,576,805,162,789,477,
104,511,587,642,393,415,345,333,950,834,960,307,764,468,728,052,428,880,104,
235,665,709,248,436,959,845,138,533,339,779,620,846,558,593,955,171,715,983,
481,386,098,435,628,217,807,960,900,164,140,590,173,281,200,408,921,505,635,
260,185,054,021,189,250,316,808,805,705,317,257,526,959,562,219,796,420,228,
537,315,214,759,434,147,020,650,433,831,182,580,345,264,176,741,345,987,926,
826,972,262,962,859,054,051,251,554,199,984,847,969,803,366,773,578,292,270,
331,487,338,604,089,989,033,872,608,899,584,611,287,604,867,697,017,108,346,
175,865,410,278,846,895,467,547,132,908,612,029,002,616,414,972,653,208,861,
120,980,151,409,468,896,377,846,898,385,120,204,191,622,247,619,300,040,083,
667,586,786,136,952,093,279,658,269,299,320,047,683,617,825,070,877,349,970,
449,359,680,483,217,237,338,347,862,835,707,665,496,520,731,340,270,302,245,
045,630,958,984,839,304,640,433,582,042,418,176,286,389,866,514,244,246,745,
780,934,161,213,257,281,068,515,611,060,203,259,371,280,232,540,733,398,805,
373,636,948,585,138,615,226,991,392,683,933,223,021,447,850,729,432,571,953,
200,223,770,041,340,760,883,083,441,431,125,534,689,675,045,134,406,289,898,
384,820,118,806,326,333,562,861,078,937,166,965,243,767,502,192,260,445,440,
505,142,932,766,328,946,916,387,607,528,337,803,519,433,495,294,796,475,379,
834,257,456,111,835,967,069,252,394,196,216,305,302,873,918,061,022,706,953,
625,016,392,118,896,958,863,274,888,119,350,635,291,379,606,150,841,776,690,
754,987,253,038,908,605,421,856,293,669,238,759,891,872,189,721,865,178,717,
669,915,339,013,546,953,980,083,869,603,933,891,460,664,560,593,715,160,989,
951,373,941,945,752,746,102,067,842,935,054,772,062,426,446,854,327,815,728,
680,082,063,848,730,970,303,102,007,729,185,759,936,994,940,722,411,521,898,
159,168,920,847,082,057,527,053,475,848,977,359,849,519,679,346,990,764,512,
862,257,832,278,045,556,157,752,063,071,617,143,581,641,273,268,923,083,585,
877,381,866,336,342,456,991,150,746,279,883,010,599,841,357,767,342,519,652,
477,337,565,654,340,221,661,447,313,327,463,911,420,562,066,745,509,170,928,
529,115,575,467,688,488,348,003,412,593,379,512,567,119,347,199,813,973,030,
009,669,107,294,047,274,600,057,952,953,728,805,668,747,355,538,453,605,964,
791,063,199,115,151,238,542,042,703,251,467,267,139,303,372,112,866,005,073,
052,564,125,194,478,988,283,415,777,910,353,736,934,706,146,239,138,770,654,
593,216,279,174,591,502,516,142,496,368,486,703,022,055,203,312,692,144,799,
436,673,553,814,000,242,128,428,419,284,646,177,925,620,889,439,001,762,517,
973,371,733,919,252,085,602,286,168,613,014,272,442,318,996,568,186,569,304,
061,042,309,336,008,431,410,621,833,974,311,133,173,334,347,577,707,985,493,
788,652,456,417,498,118,388,902,291,728,230,635,640,101,869,742,209,706,606,
703,174,877,805,192,489,361,312,541,645,267,786,677,429,885,243,884,717,842,
829,625,870,134,088,321,559,746,543,044,131,899,966,319,320,472,211,027,584,
177,016,266,248,765,830,255,913,408,954,155,977,516,914,784,355,099,442,767,
014,941,083,356,304,439,239,803,192,112,152,586,436,877,793,363,007,222,997,
493,071,894,010,898,497,911,022,966,094,070,178,510,263,538,719,440,507,340,
735,888,071,570,224,630,227,496,513,347,912,726,035,793,464,942,319,867,904,
017,544,079,588,535,505,898,590,475,111,017,575,630,012,900,987,434,073,089,
334,247,023,289,101,841,904,525,785,656,150,732,202,639,765,555,367,002,863,
519,103,223,939,133,137,296,764,684,415,148,038,994,405,791,025,321,613,889,
592,522,910,117,143,724,085,856,025,926,880,129,986,501,384,892,763,649,333,
994,388,681,175,180,256,223,353,161,939,774,306,767,342,865,877,584,012,583,
754,616,234,787,051,921,124,536,934,593,090,597,983,778,826,930,757,859,170,
699,514,052,947,500,952,955,781,828,678,243,069,166,701,163,913,653,573,060,
860,044,247,589,910,278,780,020,191,481,631,350,368,308,462,610,554,485,131,
333,067,029,286,254,770,537,010,638,903,677,686,842,412,155,060,075,929,273,
129,250,063,434,943,334,999,520,665,871,071,455,049,062,035,436,209,688,264,
433,203,409,699,669,931,014,515,844,025,100,784,628,138,872,868,325,109,040,
195,243,584,290,117,407,422,020,685,105,367,134,107,515,602,110,597,626,128,
845,888,948,276,162,227,455,169,428,485,227,247,287,046,792,237,319,151,399,
554,917,539,920,521,682,197,219,016,473,131,390,718,311,594,428,914,551,968,
205,333,941,899,321,940,570,074,856,479,083,774,660,588,383,396,351,814,950,
005,803,227,441,145,599,078,394,019,640,424,953,741,822,991,250,493,343,948,
620,946,677,507,612,468,742,260,766,169,771,369,529,138,006,339,202,069,875,
943,806,584,726,659,180,619,602,245,154,927,427,457,911,622,987,424,715,131,
951,457,568,208,932,818,449,407,982,081,869,627,422,246,842,079,878,880,943,
052,849,658,418,006,688,358,231,639,569,194,729,672,089,241,757,229,054,094,
841,011,387,329,163,705,741,669,498,838,604,340,838,716,451,190,924,340,208,
515,860,794,120,951,770,622,075,748,592,082,200,120,595,129,030,883,352,316,
911,902,825,034,085,853,504,510,886,455,393,543,483,995,565,668,458,131,406,
759,673,187,284,748,130,973,652,486,107,606,108,461,659,009,723,970,083,132,
103,313,378,854,841,009,925,465,622,178,471,317,646,505,463,668,104,972,791,
284,540,998,621,395,814,836,895,120,128,105,030,871,964,657,202,054,525,351,
369,127,327,177,669,101,138,467,589,775,211,479,212,180,657,012,136,921,249,
811,617,571,039,561,730,251,118,110,803,058,160,973,151,477,608,834,142,886,
819,484,902,056,753,885,385,268,441,834,224,154,373,562,813,959,638,435,509,
244,568,743,996,471,449,159,462,762,587,609,555,525,983,044,004,029,255,924,
040,953,558,976,381,366,954,783,824,316,648,671,166,154,911,789,141,825,344,
918,150,515,010,856,511,434,546,185,459,163,150,594,943,657,435,719,208,414,
520,855,449,514,077,266,083,381,193,387,872,080,998,442,022,467,645,822,253,
509,440,308,488,219,326,752,348,042,666,557,925,403,899,290,717,111,486,922,
057,795,004,801,205,152,409,540,257,441,155,376,684,578,814,834,460,278,999,
902,500,254,981,724,276,558,381,712,518,872,708,590,925,160,735,085,737,694,
478,478,626,476,842,800,458,555,686,478,543,340,664,738,630,791,641,918,887,
840,130,289,222,803,713,801,337,079,936,583,505,071,412,661,003,314,843,019,
641,571,093,253,435,421,646,966,807,766,066,756,235,788,587,162,129,487,587,
590,275,154,652,747,983,235,017,334,879,692,012,313,572,648,242,778,433,415,
245,985,566,130,012,697,141,881,403,462,519,982,756,830,734,692,191,818,069,
674,451,647,681,511,856,188,520,146,071,858,586,873,261,159,720,712,629,072,
296,269,207,404,796,571,869,781,809,571,404,574,419,976,317,191,864,882,501,
343,004,114,831,880,471,163,305,961,290,534,567,333,285,459,494,800,897,705,
813,891,500,073,142,908,983,816,566,293,698,443,640,227,443,757,295,102,296,
499,954,627,274,264,136,256,587,233,588,503,816,745,520,968,531,098,277,063,
589,038,083,630,059,081,338,768,404,213,025,695,666,737,713,887,432,846,399,
191,414,234,008,292,604,088,326,936,405,939,019,101,146,122,170,089,479,613,
363,855,914,540,162,014,514,163,593,561,182,103,317,560,655,093,696,961,874,
483,526,663,138,484,308,436,140,238,748,236,093,308,149,216,540,556,168,336,
711,963,458,476,835,796,551,817,379,940,576,434,760,427,215,950,406,567,513,
185,668,764,044,068,640,153,523,486,011,629,512,781,767,708,204,980,039,687,
038,014,468,634,940,705,217,092,505,610,542,876,131,797,275,632,356,871,117,
036,169,594,010,364,066,288,738,659,518,659,423,031,332,610,046,885,200,751,
761,641,066,359,125,019,705,114,959,241,730,678,799,652,519,277,946,368,229,
522,239,118,710,904,351,634,649,622,383,582,977,197,956,861,103,250,117,622,
620,097,617,947,220,629,516,344,026,381,418,542,068,576,983,884,481,319,966,
057,768,091,269,247,908,100,287,074,355,526,882,901,976,331,636,122,355,077,
043,686,210,118,819,524,907,325,437,507,702,016,820,008,620,057,685,085,846,
358,483,042,113,317,435,055,653,174,682,846,821,640,477,591,852,749,221,982,
864,985,050,202,704,641,429,381,034,034,880,393,738,279,379,135,800,494,534,
331,967,673,949,036,494,530,797,385,340,154,124,772,436,029,523,978,363,953,
916,945,349,208,089,319,812,279,149,248,220,340,065,698,780,632,336,800,795,
800,802,118,803,032,020,422,355,644,859,983,365,849,551,764,363,999,609,185,
140,237,719,724,209,266,498,158,899,375,508,047,664,702,108,408,060,788,535,
728,329,543,048,056,957,183,333,669,030,012,373,773,130,962,106,337,947,585,
092,593,526,429,047,330,797,607,045,307,006,596,149,087,117,969,233,314,639,
220,414,954,178,528,105,153,157,920,271,315,176,113,841,402,938,325,121,961,
578,378,925,830,399,241,853,232,821,746,246,924,003,578,918,840,026,810,668,
024,220,325,101,134,260,410,627,291,998,319,832,673,134,517,109,487,826,015,
456,084,409,431,566,247,451,127,607,542,128,416,077,242,513,777,859,438,451,
825,229,499,018,731,041,971,774,876,214,537,899,680,435,738,383,747,272,049,
208,778,267,061,007,688,070,764,723,881,393,345,643,286,599,744,973,883,402,
847,652,229,636,939,160,983,329,632,844,659,350,995,793,546,608,858,273,461,
523,066,421,330,835,879,745,785,455,376,454,766,043,104,448,106,677,609,195,
231,009,689,883,711,564,848,642,885,043,068,176,925,802,710,183,010,682,065,
129,252,688,606,483,054,926,676,256,502,138,369,994,994,018,747,161,867,014,
212,318,718,881,864,710,598,042,343,214,457,367,512,283,540,180,420,807,309,
057,403,768,380,638,284,755,105,109,914,845,424,754,881,972,307,827,921,819,
006,468,239,426,476,973,853,912,254,630,470,525,057,457,901,402,297,364,995,
396,423,848,167,998,977,757,889,087,841,739,317,826,106,498,938,875,576,941,
759,395,935,181,949,971,303,690,003,479,072,202,377,138,044,798,056,865,264,
815,232,985,166,641,388,657,919,162,042,305,931,562,538,683,695,390,616,194,
389,297,155,429,755,442,164,192,656,238,375,868,723,317,318,216,580,352,620,
776,268,455,302,160,555,707,977,476,841,641,620,504,302,480,386,087,422,229,
107,272,750,361,316,838,407,181,762,582,592,460,013,321,271,532,018,736,027,
229,082,518,219,514,603,767,611,969,953,237,568,110,330,284,625,612,257,875,
831,994,128,867,093,118,974,121,358,406,387,593,514,875,912,687,658,438,808,
641,180,124,849,407,850,329,327,247,118,839,702,940,106,172,347,522,857,636,
538,433,293,302,534,517,768,108,951,128,090,754,665,760,918,586,951,644,852,
097,079,644,159,732,159,987,951,127,642,271,103,357,516,426,143,862,971,279,
860,497,961,580,747,023,898,778,431,800,647,319,399,390,854,916,955,552,257,
277,519,599,450,633,253,190,354,211,996,935,282,688,512,837,957,591,603,938,
223,947,215,038,915,191,404,118,563,796,572,289,094,289,896,983,202,709,508,
161,909,473,195,484,206,737,156,556,922,366,595,435,465,764,442,184,152,792,
232,660,957,490,603,502,155,618,763,207,382,757,080,338,789,240,569,883,706,
183,283,475,359,379,687,177,501,708,014,201,685,883,390,196,851,360,274,020,
392,168,416,398,494,100,382,791,948,199,775,315,809,872,758,964,511,621,760,
961,545,230,385,739,938,767,153,261,340,894,605,642,677,423,858,130,375,139,
132,896,823,397,697,345,399,618,854,308,555,946,150,251,883,362,544,393,780,
323,811,681,192,546,444,923,866,612,932,958,960,173,551,357,709,605,016,247,
987,854,855,213,593,078,089,430,858,928,247,084,904,548,420,334,328,600,719,
302,070,591,516,824,843,254,159,448,272,680,786,368,383,255,267,059,937,999,
059,875,019,085,497,565,143,546,956,623,072,508,051,630,422,868,063,171,704,
966,387,968,465,791,123,819,343,003,665,966,717,581,879,072,177,022,276,126,
756,776,089,628,851,037,502,520,126,558,041,636,358,172,538,345,354,906,283,
917,571,103,158,778,393,270,538,317,024,183,905,206,694,378,121,845,903,685,
424,837,438,111,000,116,133,546,783,157,905,231,032,927,431,277,976,391,713,
544,019,457,557,844,026,361,257,628,741,967,061,436,084,335,263,301,371,444,
339,742,178,279,803,797,853,098,224,012,665,954,911,028,926,228,016,165,498,
668,648,830,418,555,596,541,849,721,790,885,948,015,206,224,163,816,347,159,
806,188,740,508,803,095,183,903,746,057,912,421,207,277,832,473,624,027,111,
477,761,251,996,449,067,211,018,975,676,982,702,123,044,582,597,239,800,212,
192,855,415,431,698,091,469,172,044,336,228,687,269,436,751,169,724,807,377,
800,022,655,954,638,110,620,983,785,399,893,375,911,148,926,081,977,227,308,
260,660,857,191,797,824,961,762,668,670,318,234,778,522,982,806,965,898,806,
720,723,913,925,390,043,404,405,820,603,288,768,480,934,884,790,594,174,534,
408,170,856,665,965,364,279,899,076,864,521,228,892,006,402,345,719,783,865,
717,734,641,723,088,496,784,095,990,719,075,254,313,598,857,048,829,231,674,
314,373,770,008,066,908,310,273,380,936,649,391,849,125,963,969,599,495,697,
710,955,440,814,643,706,688,291,210,305,100,960,109,044,189,565,669,310,764,
237,744,359,585,641,877,842,441,160,944,477,086,005,134,905,133,772,176,970,
291,494,171,440,206,118,257,898,273,222,690,301,290,653,864,086,838,852,303,
209,607,804,659,235,419,851,518,620,368,527,186,772,109,289,675,309,046,697,
393,179,093,299,410,346,929,955,589,567,386,423,567,112,287,397,412,688,047,
563,622,545,849,083,305,641,256,273,033,639,549,196,178,257,413,217,633,199,
798,767,013,549,270,212,308,850,012,905,126,068,983,982,506,381,189,421,689,
036,251,786,851,661,177,155,283,698,086,857,495,773,751,892,692,206,090,405,
984,931,911,873,851,892,425,974,748,693,300,949,932,370,554,332,345,371,162,
920,935,830,119,991,729,773,914,460,316,212,265,923,850,456,939,437,378,694,
597,385,970,943,748,833,680,745,088,065,407,142,248,430,557,760,443,883,797,
540,355,280,703,318,721,794,916,642,281,306,347,970,813,150,435,236,875,705,
685,691,503,183,291,820,199,766,071,499,656,292,904,498,925,183,828,607,563,
941,797,668,908,834,082,772,655,876,069,237,555,083,836,225,452,902,001,144,
350,510,578,434,118,918,801,203,939,910,232,797,385,041,567,436,730,784,745,
401,926,591,684,627,518,585,620,408,583,163,679,599,009,056,209,588,745,258,
419,480,972,642,955,806,920,107,005,124,520,431,429,305,961,463,197,107,355,
308,410,730,040,843,097,471,218,877,929,910,370,451,002,835,867,573,628,710,
164,186,829,346,785,348,514,431,403,711,565,524,997,159,101,997,537,585,529,
519,650,156,451,420,612,417,858,428,455,857,908,576,481,387,875,385,259,975,
755,438,152,509,298,945,994,951,759,380,852,683,670,741,268,358,005,952,176,
060,113,455,538,144,769,900,450,998,770,471,597,204,815,315,102,098,920,035,
702,432,939,350,811,832,776,140,017,199,349,314,182,465,418,685,093,532,756,
289,281,968,771,884,570,849,489,720,971,589,791,554,865,295,871,624,510,632,
002,490,883,680,519,170,530,049,294,125,323,962,546,530,657,077,590,297,490,
214,052,678,760,785,196,415,771,566,323,327,339,523,975,130,333,126,679,522,
949,677,564,559,262,222,076,624,930,575,000,597,769,851,439,207,150,950,034,
937,040,019,618,362,607,336,662,378,537,598,515,603,725,667,173,063,208,339,
956,357,043,223,641,537,954,672,771,175,642,111,576,621,594,317,684,167,884,
437,783,035,666,008,613,533,075,520,207,940,113,803,805,674,788,312,411,968,
602,876,593,887,971,512,421,830,949,446,924,835,402,865,684,114,103,880,378,
034,450,984,250,825,472,414,990,386,238,549,422,480,526,077,123,610,049,142,
597,074,339,051,886,220,005,989,841,699,455,238,374,146,497,831,091,317,183,
246,748,424,954,255,328,120,475,018,625,127,931,760,779,212,820,547,892,149,
401,348,981,481,801,089,214,912,302,390,899,821,636,789,780,828,388,441,719,
066,917,466,160,382,807,946,376,934,728,933,603,031,475,303,788,722,786,667,
138,753,817,805,029,504,454,633,291,301,560,897,792,278,945,920,767,509,932,
302,867,056,552,129,565,875,970,764,765,232,533,080,860,786,352,100,734,704,
189,785,274,140,976,976,919,450,938,745,083,948,241,696,614,131,819,456,710,
878,734,717,773,459,701,303,469,959,675,982,252,096,191,970,695,649,565,587,
131,775,273,435,177,547,970,367,461,520,481,762,180,513,187,752,466,552,786,
853,998,204,923,421,475,195,698,923,221,779,045,432,751,965,784,271,489,056,
674,533,188,648,130,438,186,879,366,221,566,360,911,112,063,923,131,109,295,
879,194,302,888,228,921,559,677,437,206,178,840,914,128,348,409,885,761,045,
234,142,943,094,085,588,635,055,167,577,806,568,652,102,143,371,984,690,802,
100,735,166,838,374,278,993,214,411,510,004,644,551,692,591,784,517,158,984,
173,882,150,619,579,863,725,586,934,629,439,688,690,747,213,431,064,205,499,
454,468,274,980,502,593,828,322,463,209,023,513,865,435,558,644,319,760,140,
596,275,593,293,447,458,947,885,403,167,342,508,339,489,889,919,262,318,415,
057,185,391,980,404,529,846,549,284,459,965,106,221,006,955,714,653,425,202,
572,241,446,650,529,751,566,120,474,721,552,179,365,987,233,070,252,174,640,
858,765,049,699,246,768,614,791,753,656,971,133,843,444,908,676,656,194,248,
884,546,001,024,800,270,201,302,246,986,105,362,255,586,084,517,528,382,374,
364,454,196,696,492,434,132,887,209,604,213,917,283,109,586,654,166,544,605,
965,343,191,090,508,589,350,472,410,294,994,044,713,013,085,787,794,305,995,
968,959,567,049,380,098,780,324,575,297,702,133,676,974,942,506,047,133,877,
104,618,407,911,056,547,814,023,115,982,901,120,227,102,275,928,311,662,286,
285,391,683,906,887,178,125,939,817,179,739,025,974,466,972,191,780,060,028,
212,791,983,556,435,827,932,928,291,963,312,407,843,061,550,542,295,055,544,
833,164,113,478,939,407,265,727,000,618,391,394,089,819,713,195,730,530,265,
438,967,579,552,395,998,405,918,799,059,089,186,482,164,959,481,847,261,582,
401,162,456,419,000,251,051,498,042,493,080,457,203,733,175,975,873,310,811,
339,469,221,024,145,738,909,450,973,197,624,385,371,296,506,326,565,399,775,
737,035,335,695,273,590,997,238,444,164,985,027,421,164,160,454,947,766,989,
474,116,863,103,757,889,651,952,193,800,026,564,280,450,150,589,664,598,045,
335,677,570,381,830,180,676,476,921,764,372,159,523,587,219,555,880,358,344,
187,564,054,855,733,689,919,902,535,038,638,410,891,675,916,503,002,263,495,
735,336,697,587,260,896,395,642,272,561,458,974,289,007,920,767,032,535,565,
811,289,650,698,479,522,795,821,208,880,041,456,101,779,388,653,994,844,299,
449,121,971,759,540,785,405,670,291,793,157,938,734,092,631,020,147,695,868,
201,880,504,805,117,389,052,689,612,655,239,914,518,422,310,640,902,475,615,
403,235,181,899,857,872,449,851,692,081,369,776,332,371,858,778,694,325,702,
869,970,836,236,540,348,427,980,475,380,969,026,942,164,149,362,549,427,984,
109,476,140,004,123,119,742,995,166,770,168,427,822,512,317,773,681,013,458,
419,683,965,964,382,915,249,247,964,968,234,527,191,809,172,807,735,952,640,
875,445,382,272,239,292,238,614,787,981,397,588,599,537,289,168,516,625,340,
802,853,996,368,973,104,051,502,002,952,548,173,107,586,501,851,867,249,354,
173,219,402,799,888,725,730,671,037,317,149,990,214,860,330,427,109,379,337,
492,522,852,876,931,533,524,633,984,385,834,090,656,200,893,158,804,237,700,
200,777,894,480,442,735,871,337,635,508,690,322,177,339,265,363,069,153,792,
291,911,793,372,020,753,306,435,729,433,091,439,074,140,047,937,562,335,653,
586,680,065,816,634,751,434,667,866,242,096,006,811,257,838,135,204,782,008,
277,259,668,420,327,502,247,310,944,511,748,342,096,086,790,895,635,043,362,
792,064,744,607,988,290,715,465,514,870,980,264,804,605,208,237,901,068,545,
256,514,778,187,878,772,786,545,598,070,532,232,401,493,848,708,343,792,572,
334,014,454,417,802,863,143,695,355,634,804,859,429,492,584,091,044,320,784,
769,863,672,789,513,314,223,033,361,036,511,202,515,687,734,640,545,278,839,
923,655,160,817,400,766,674,613,571,244,099,529,294,349,371,057,018,011,943,
413,065,682,302,920,159,268,794,158,342,014,137,511,671,033,504,894,494,565,
625,868,903,345,518,790,064,457,990,505,281,000,156,149,576,717,807,592,740,
797,418,247,611,493,991,645,506,331,941,265,803,312,787,134,327,494,719,019,
214,803,973,001,468,695,680,060,376,867,730,538,975,477,730,700,289,001,495,
898,181,703,201,112,335,676,417,639,781,179,359,244,392,077,379,079,876,172,
179,315,283,470,608,736,247,146,680,273,713,671,785,466,403,178,290,183,690,
516,817,614,845,487,716,177,701,917,485,406,795,496,449,091,989,490,522,496,
649,281,019,447,862,918,659,445,617,120,686,728,925,758,491,926,320,334,681,
878,713,332,958,128,157,427,236,189,395,576,099,319,244,032,037,565,913,791,
538,044,598,867,290,223,336,328,210,118,909,002,607,288,220,925,563,065,806,
641,965,026,119,165,592,073,476,074,362,927,545,549,272,955,558,200,816,500,
449,665,244,051,426,714,309,584,934,887,684,786,564,841,036,650,373,646,827,
535,309,048,789,195,953,530,723,863,999,068,814,690,400,864,949,445,462,929,
820,495,531,989,646,521,492,228,205,497,479,432,702,004,885,078,978,482,432,
224,613,930,453,011,701,664,969,267,483,277,432,110,485,027,391,394,581,419,
243,869,140,280,561,955,138,434,928,526,177,120,377,401,959,300,351,301,383,
894,651,141,893,485,055,497,010,401,141,633,786,271,121,021,479,322,794,297,
315,021,321,295,592,401,497,999,901,690,793,141,772,726,498,326,505,056,733,
887,429,975,266,344,250,081,869,779,324,097,808,503,758,220,532,083,854,893,
924,071,103,116,022,543,561,973,998,432,287,610,017,680,981,041,584,454,296,
992,063,501,413,922,903,829,245,862,570,628,985,165,413,585,186,783,353,320,
157,419,234,813,142,572,396,449,318,959,486,213,723,789,054,443,625,338,398,
608,841,262,788,516,421,189,689,400,157,147,645,785,431,426,329,420,543,870,
337,078,342,904,001,239,645,005,225,355,433,965,516,498,024,173,041,115,853,
388,013,613,683,746,118,170,720,629,519,041,052,553,549,053,272,944,809,405,
957,492,286,267,293,080,024,508,310,100,000,458,316,212,356,330,475,980,733,
886,826,647,329,448,068,174,588,289,847,464,110,883,465,126,655,651,063,654,
137,998,074,341,798,525,351,462,046,187,800,050,284,766,180,820,159,669,426,
142,180,950,077,243,336,925,806,125,707,036,779,682,016,933,499,878,213,395,
927,483,928,491,757,426,600,106,080,722,485,850,621,481,660,403,553,602,871,
955,994,575,120,001,302,188,451,656,972,990,366,736,964,252,606,771,839,370,
518,219,885,443,688,167,245,555,988,126,385,099,426,280,096,796,878,183,159,
268,236,903,428,463,901,210,994,750,201,783,143,649,822,178,806,285,181,928,
692,578,762,893,069,612,556,050,097,524,126,086,869,840,903,965,843,111,605,
321,596,444,502,286,180,502,701,342,487,463,791,498,395,602,642,480,520,369,
146,111,603,049,030,656,981,783,700,635,197,753,572,356,601,731,433,800,065,
332,048,134,651,170,688,644,249,848,467,156,616,981,381,848,968,057,760,243,
317,671,383,141,090,374,815,469,053,306,330,466,134,458,329,947,410,036,264,
178,361,492,787,798,223,887,412,173,107,699,993,484,219,149,752,372,164,119,
788,511,876,047,281,516,968,202,405,456,859,769,637,445,266,425,260,336,315,
257,122,798,593,012,777,570,487,221,725,718,336,025,299,305,629,989,497,103,
511,655,636,613,991,636,218,272,120,024,122,752,835,374,046,025,220,158,752,
639,100,452,074,889,604,154,137,839,676,994,962,173,737,841,173,062,066,157,
082,420,791,127,532,180,419,505,985,038,057,472,025,105,531,709,334,107,197,
739,897,153,112,235,664,644,375,338,346,679,195,654,884,891,518,975,627,114,
167,692,824,607,546,059,414,156,720,977,919,178,708,933,379,419,793,051,772,
109,238,277,771,161,962,490,558,677,929,813,129,387,861,145,292,733,202,982,
414,538,454,938,275,979,237,387,050,173,991,462,508,307,004,911,060,424,650,
495,187,046,194,517,685,884,368,788,812,618,525,208,218,103,062,833,675,299,
174,808,565,284,967,813,783,197,027,221,719,922,285,999,962,134,739,583,075,
110,567,907,929,872,478,421,000,309,956,554,655,823,928,404,983,362,513,746,
478,479,628,118,718,877,827,586,847,753,897,288,334,275,558,533,246,432,042,
487,345,976,741,333,724,252,646,785,544,367,839,590,284,154,779,441,547,056,
249,954,763,572,685,869,058,955,345,682,558,456,998,667,321,148,499,996,697,
588,990,811,228,118,899,426,329,207,304,858,431,080,752,802,812,856,375,648,
843,344,521,335,828,448,516,111,541,717,234,551,507,732,206,985,312,083,348,
670,904,938,507,830,803,790,595,285,233,471,647,069,296,973,265,009,803,117,
919,382,158,976,388,827,987,066,160,791,957,487,519,093,043,891,583,991,162,
428,112,781,013,424,781,692,591,171,790,051,906,139,718,201,486,896,196,137,
978,350,746,253,078,780,063,402,500,109,482,111,414,614,494,820,460,809,202,
487,425,704,334,643,872,448,417,566,319,657,685,017,273,671,457,548,780,190,
556,239,589,463,585,849,560,982,874,117,717,203,146,367,142,514,737,834,241,
268,944,776,936,602,729,028,336,203,334,154,123,461,124,612,416,202,155,245,
731,491,451,580,876,913,897,901,314,697,676,396,890,828,807,688,300,809,675,
133,926,412,645,778,048,485,032,786,321,764,881,543,283,963,790,930,655,067,
752,186,538,653,898,948,602,229,524,350,923,613,832,176,572,105,700,832,542,
670,885,534,274,475,832,976,360,100,302,348,161,624,803,441,274,165,107,988,
896,100,871,665,217,794,775,300,509,696,048,372,702,274,279,660,153,859,661,
535,466,235,848,171,923,771,154,188,194,092,324,925,010,765,037,217,596,658,
529,433,708,026,584,122,935,632,978,540,370,017,342,497,673,635,993,296,680,
752,588,802,647,257,349,825,907,673,831,651,124,803,779,413,785,833,393,860,
571,490,321,214,225,618,605,781,773,479,388,594,603,070,853,296,251,494,565,
549,872,960,444,046,894,067,812,016,926,172,591,626,368,501,711,651,228,898,
015,777,982,116,319,782,268,741,814,098,964,663,968,949,988,614,236,723,724,
840,281,279,354,448,280,379,509,315,930,982,242,199,506,025,975,194,662,712,
956,298,564,790,696,608,097,391,579,824,873,630,699,210,126,808,119,417,845,
360,637,857,705,046,185,632,824,683,584,853,883,114,213,071,421,149,572,840,
635,853,960,040,565,641,947,090,411,553,851,376,034,425,579,928,951,558,242,
231,851,724,543,023,010,518,382,349,365,947,394,941,931,092,586,230,373,969,
695,667,599,649,498,434,694,463,643,581,049,895,350,119,740,779,549,913,373,
820,444,908,006,223,677,156,514,010,847,026,564,737,736,821,068,971,394,301,
827,168,732,429,007,689,742,127,911,041,297,543,908,496,957,833,812,742,224,
582,899,122,952,247,731,124,432,777,087,310,532,443,773,192,002,216,342,967,
325,520,300,227,669,233,747,281,011,706,190,184,377,712,571,733,311,408,247,
305,350,121,246,261,368,959,041,613,141,899,213,118,617,193,785,147,713,588,
950,494,787,461,769,862,136,435,281,898,925,391,755,808,487,854,201,167,737,
702,186,262,103,597,816,615,436,470,466,835,576,732,565,304,896,785,794,552,
759,581,202,656,217,832,595,165,788,326,659,358,150,570,322,904,175,428,246,
676,788,203,434,379,314,580,716,124,483,208,833,636,401,439,865,303,721,545,
414,851,921,807,267,873,419,806,261,612,153,060,048,822,550,986,826,283,241,
693,177,312,745,739,128,052,827,012,509,845,996,068,611,672,840,467,968,170,
971,982,377,311,139,798,846,642,798,872,721,023,399,295,365,029,125,423,981,
665,942,501,101,154,570,884,514,263,191,245,824,119,371,191,344,141,483,877,
699,749,778,079,090,926,693,691,335,112,670,852,726,585,611,444,566,797,657,
518,673,440,867,758,429,499,097,576,642,759,326,998,927,528,060,254,298,900,
996,404,108,564,998,743,327,196,816,657,853,872,776,889,550,727,258,540,971,
640,543,756,762,844,807,934,285,601,770,076,489,687,523,377,457,652,637,731,
708,529,064,856,336,502,845,019,386,842,158,914,708,554,603,095,980,988,954,
073,401,586,179,820,109,610,569,388,468,941,313,738,654,513,805,768,993,090,
600,894,729,543,951,921,342,234,890,077,547,984,343,282,052,842,004,275,413,
542,900,195,405,256,676,328,455,798,477,376,911,207,705,483,214,302,881,057,
532,739,521,830,729,085,380,566,764,675,331,783,245,119,615,818,322,308,948,
165,983,391,390,869,210,430,259,880,702,088,296,338,157,220,197,451,074,290,
202,429,082,113,972,870,258,617,157,920,138,646,399,838,165,597,687,499,674,
103,890,599,786,141,314,051,708,462,258,849,960,500,063,931,945,139,702,631,
782,524,601,583,805,645,049,184,762,576,273,292,482,351,074,495,769,491,460,
708,080,945,747,930,361,628,751,545,464,523,267,749,238,695,428,325,479,410,
148,289,291,569,789,907,558,088,912,762,507,259,956,477,114,233,006,897,780,
905,614,501,161,853,507,490,721,239,194,504,971,053,999,458,702,129,976,070,
188,584,505,534,855,952,766,710,918,576,364,982,686,458,711,694,075,795,766,
253,179,330,981,104,102,195,158,035,488,495,990,850,616,108,529,852,522,954,
609,865,787,222,758,088,895,891,057,324,134,068,544,973,668,292,210,281,895,
714,611,494,084,958,846,222,214,276,719,656,982,571,086,667,580,231,517,912,
919,260,102,147,562,257,578,934,540,483,998,840,373,174,748,679,789,018,983,
763,179,976,568,477,185,411,859,999,701,905,383,776,984,814,616,840,390,634,
022,672,575,015,820,091,521,790,804,839,659,413,716,434,509,471,306,672,861,
050,986,072,144,770,948,187,167,757,223,121,953,147,599,602,027,932,427,608,
705,242,665,301,714,236,520,850,621,544,180,283,004,263,587,047,124,154,102,
933,517,368,104,004,195,993,651,518,230,917,888,533,066,613,560,180,599,112,
541,280,587,131,484,110,108,543,717,467,129,157,615,378,090,331,624,687,945,
732,845,785,819,933,302,055,568,886,648,875,496,456,543,009,215,712,059,168,
190,201,682,122,962,571,726,854,225,387,246,999,808,741,403,812,357,761,381,
973,743,741,286,991,317,856,451,016,943,716,325,444,368,534,097,007,864,698,
537,555,760,541,249,414,471,848,582,289,439,172,851,271,188,730,240,995,558,
532,481,072,012,830,648,851,923,934,793,490,482,986,774,728,844,045,311,000,
054,713,611,403,073,157,796,985,640,515,165,637,601,229,601,352,390,067,256,
042,686,153,501,011,386,273,228,816,755,444,537,895,848,994,662,131,919,992,
667,923,987,122,867,814,283,557,583,148,336,139,498,146,550,427,097,240,158,
044,756,821,980,807,108,709,709,635,433,108,429,238,480,649,118,214,178,427,
662,866,694,236,754,283,488,765,791,750,010,576,176,682,607,348,818,536,852,
171,888,773,124,985,238,589,336,322,849,751,064,242,370,377,639,765,336,419,
794,863,336,372,810,480,563,918,007,869,866,311,239,094,903,156,591,403,456,
191,403,105,164,676,933,812,853,418,537,681,213,754,257,714,809,750,657,492,
423,335,725,766,793,637,269,753,717,498,239,320,394,326,636,094,121,955,255,
907,741,405,073,119,102,160,523,339,658,708,395,452,349,094,068,291,511,393,
417,956,721,728,154,775,089,701,094,803,228,423,997,717,471,563,965,390,574,
523,964,734,047,968,970,895,946,918,387,573,683,035,070,603,126,401,164,650,
494,369,475,546,727,688,630,405,235,568,433,345,308,006,461,255,113,071,965,
019,178,067,184,476,003,857,870,002,774,378,447,742,025,934,653,501,045,254,
912,527,008,431,479,591,589,943,169,257,324,815,307,702,686,261,010,603,662,
199,746,563,757,643,574,599,634,896,393,724,134,514,397,461,644,063,076,805,
029,094,190,594,832,839,076,362,306,458,171,505,817,104,658,050,157,848,941,
834,569,064,806,742,787,790,738,415,934,343,761,234,369,314,185,028,320,722,
684,355,022,120,127,650,769,811,643,384,548,419,928,428,483,868,436,699,037,
796,801,544,186,652,107,578,351,656,767,571,159,313,930,661,076,095,637,625,
448,455,365,995,652,941,690,682,880,410,963,386,221,087,573,683,957,739,657,
814,602,171,104,999,585,478,199,681,885,868,230,895,718,222,355,651,840,463,
927,863,866,532,095,379,546,397,676,854,211,131,892,035,049,144,770,474,294,
774,192,076,321,599,743,984,136,937,472,106,831,622,648,542,854,667,563,819,
636,193,434,611,032,750,528,274,621,005,356,123,916,436,154,892,901,104,562,
374,154,133,769,247,564,060,520,866,359,323,981,467,583,528,022,766,661,206,
245,483,454,286,580,753,582,522,174,958,331,692,788,226,485,989,617,161,959,
538,034,152,689,290,244,810,596,203,234,710,563,529,893,241,324,209,617,300,
715,924,618,256,477,423,814,391,993,333,076,016,774,178,244,344,475,519,350,
604,186,638,762,315,654,051,600,165,117,729,570,988,547,872,072,585,239,564,
207,766,732,870,883,568,245,044,287,333,060,308,424,737,621,007,659,741,060,
792,825,537,109,025,593,806,816,239,756,792,837,606,463,680,446,175,888,606,
057,862,365,612,408,631,158,091,813,985,084,061,220,697,993,612,596,100,161,
345,700,888,724,199,425,750,118,689,692,345,224,407,456,830,391,795,013,579,
149,740,759,736,034,311,190,176,969,499,904,715,262,330,026,370,213,261,220,
878,895,747,022,250,868,609,107,844,891,830,447,141,442,985,883,660,371,374,
752,037,323,792,634,987,095,134,457,172,548,571,087,826,551,391,833,374,767,
689,223,145,695,905,832,997,094,359,025,603,489,662,155,079,792,264,991,454,
472,511,349,277,676,631,654,270,686,814,031,765,134,702,203,602,257,929,114,
640,827,770,418,321,714,864,115,967,225,389,370,026,902,263,941,227,151,253,
537,542,778,351,694,234,887,008,260,205,647,562,542,137,105,209,675,974,677,
879,213,544,724,395,946,710,660,401,530,720,400,425,152,323,895,873,813,238,
268,957,488,758,233,422,886,689,544,260,994,211,756,586,449,030,611,156,700,
805,142,688,557,551,006,675,672,801,121,538,944,424,825,525,490,317,472,431,
533,474,236,227,037,813,664,391,434,526,334,214,157,464,772,227,139,054,966,
993,630,672,564,685,703,344,340,593,293,080,353,511,647,962,614,048,655,951,
509,431,553,217,513,360,406,789,627,020,116,836,239,848,024,714,201,818,260,
321,270,353,887,960,859,388,953,048,263,222,067,151,985,841,109,725,340,738,
438,253,650,429,493,252,847,331,638,500,497,183,299,982,390,318,309,518,829,
503,732,491,661,958,676,370,996,621,893,109,505,260,054,500,332,286,804,743,
832,742,732,898,089,097,466,738,777,142,623,020,306,477,648,158,816,235,701,
920,941,525,569,052,963,882,143,726,253,032,227,377,183,372,014,027,196,394,
106,486,994,648,951,670,837,109,389,021,604,800,739,185,021,653,620,130,249,
593,116,176,281,952,596,107,723,407,141,897,283,018,107,459,435,428,920,542,
174,043,910,670,567,048,102,599,550,617,452,044,274,633,160,513,029,386,072,
883,126,586,557,979,795,819,314,703,151,088,956,723,274,247,771,090,598,963,
038,588,985,886,668,235,985,792,535,254,996,539,887,882,265,922,546,690,023,
364,528,047,996,561,838,571,694,939,191,547,986,402,219,305,244,921,354,030,
298,789,146,675,514,087,242,691,190,183,355,937,595,507,324,591,055,199,260,
565,870,125,704,116,346,726,125,189,499,400,089,729,035,259,892,907,811,079,
009,701,021,019,692,892,196,071,548,712,712,245,532,241,206,134,758,080,073,
548,076,559,127,402,676,662,309,118,801,596,917,845,192,865,392,893,282,570,
385,679,302,562,788,042,902,403,150,670,260,999,369,417,539,478,154,460,992,
091,017,998,742,368,849,906,476,056,249,763,832,660,686,183,086,349,995,964,
045,697,585,994,609,272,072,445,031,309,005,239,712,497,344,894,490,243,045,
827,109,955,316,407,244,799,849,258,129,412,986,964,087,186,164,898,436,101,
603,475,873,253,367,057,392,893,039,241,396,054,086,649,198,705,344,464,415,
336,097,947,122,479,073,153,132,144,267,460,971,622,305,832,008,798,577,363,
946,507,024,130,402,623,642,461,665,530,512,009,901,416,276,470,765,690,904,
273,615,608,147,354,736,142,851,224,775,928,904,406,079,046,374,669,292,278,
687,784,327,093,841,215,690,163,812,021,717,361,073,466,338,871,072,929,201,
944,544,804,558,057,310,710,593,757,751,821,732,727,170,080,725,757,165,991,
271,406,571,220,007,337,132,899,467,999,645,243,933,598,331,852,274,374,453,
661,716,848,129,419,646,183,199,560,183,401,739,279,646,438,289,775,539,073,
563,821,319,986,724,962,235,589,195,176,254,707,206,296,416,196,284,457,878,
527,624,987,721,517,809,118,092,346,008,641,403,835,814,170,278,824,693,962,
649,222,730,524,896,963,856,984,293,762,433,392,341,777,641,434,493,560,174,
860,204,396,924,005,280,381,760,537,596,940,501,102,599,572,171,328,285,128,
753,828,969,769,360,351,254,175,516,741,573,338,567,126,086,615,560,670,535,
547,738,432,297,821,072,889,078,844,328,824,333,273,359,518,945,087,360,420,
194,823,405,434,954,760,371,645,055,681,108,640,242,948,049,931,757,209,442,
437,433,714,749,104,797,745,751,254,911,155,481,967,519,500,954,486,672,034,
206,695,109,079,572,423,308,461,146,368,497,183,774,390,223,711,889,166,031,
939,650,337,243,705,520,545,967,811,925,087,911,341,650,229,144,509,314,636,
598,245,575,979,046,871,215,148,484,931,370,175,363,487,394,817,920,869,220,
811,453,753,356,429,965,104,336,003,011,231,501,559,260,831,142,295,768,465,
492,207,354,144,315,030,522,194,291,025,904,349,851,202,794,534,327,110,147,
166,846,383,691,164,299,832,744,167,811,372,274,485,543,288,917,922,840,662,
956,593,648,600,131,890,224,539,316,446,846,408,068,607,954,328,440,454,560,
562,481,929,883,083,909,881,622,887,870,002,050,978,550,016,093,008,612,172,
630,299,259,508,001,712,211,794,546,177,838,538,048,413,096,720,798,265,311,
816,640,322,938,646,447,056,902,642,111,054,476,604,867,291,814,533,592,750,
997,067,800,401,692,297,649,167,392,481,607,637,674,576,158,366,237,258,072,
321,741,361,247,552,120,649,534,319,365,045,653,667,468,973,352,289,815,284,
472,949,545,235,918,916,752,019,274,880,309,082,917,145,569,718,833,560,390,
232,583,463,457,964,864,031,833,121,492,761,072,419,127,709,165,219,731,905,
829,118,997,624,999,113,339,669,919,278,389,356,997,656,787,554,135,382,642,
505,642,410,329,379,941,187,038,886,514,110,805,280,890,977,021,550,432,095,
827,669,609,679,803,268,962,759,254,693,612,740,258,616,144,924,134,013,754,
861,015,475,943,685,890,357,273,973,591,076,091,530,750,196,071,673,598,483,
512,195,810,678,216,624,389,199,311,037,665,065,033,161,539,219,420,541,022,
290,464,594,562,605,959,104,525,202,375,783,061,504,913,614,276,562,986,714,
027,594,782,595,930,949,206,728,867,745,107,276,036,854,776,917,191,008,074,
890,964,968,443,286,062,698,851,753,510,810,637,643,736,847,224,529,405,180,
907,688,082,477,904,365,272,649,408,203,312,464,953,820,301,654,442,984,333,
985,655,755,849,701,642,422,773,471,045,285,909,632,250,457,560,916,312,908,
446,375,400,843,238,774,579,258,236,377,011,307,308,426,696,748,273,838,341,
127,553,144,880,481,106,905,680,424,958,853,906,737,597,452,422,083,169,022,
471,996,048,737,894,430,781,787,178,836,198,387,350,154,327,691,298,799,374,
402,799,896,982,801,154,704,431,080,905,274,665,909,640,434,471,179,421,890,
739,128,361,177,410,767,679,305,373,460,834,845,295,035,700,703,906,901,046,
533,767,487,339,403,989,547,965,538,589,025,424,775,095,903,272,808,020,980,
907,870,103,787,003,774,346,971,414,569,812,111,991,138,031,151,098,283,953,
561,619,862,729,355,022,802,713,486,821,370,956,405,040,615,283,579,892,073,
271,300,973,763,764,702,017,501,940,480,610,220,065,798,211,782,511,791,835,
129,782,508,697,948,662,993,415,979,861,716,865,026,967,041,439,584,574,274,
298,834,237,720,697,978,085,663,367,783,807,503,052,597,554,318,512,523,042,
321,444,109,476,756,881,892,143,357,319,899,737,070,214,936,932,902,632,613,
233,597,661,431,863,462,298,156,456,040,726,268,850,017,058,369,960,371,913,
919,348,605,651,077,618,049,457,261,427,309,823,207,472,815,451,982,540,625,
111,952,075,650,480,324,134,398,958,865,767,980,786,408,212,457,515,240,789,
668,540,067,937,057,118,170,471,481,917,096,518,702,847,207,841,667,338,486,
686,931,758,367,688,809,018,668,853,201,208,414,716,439,755,279,854,072,276,
089,365,149,281,120,949,107,144,206,295,534,497,378,851,567,300,579,486,373,
522,429,687,900,119,934,704,422,755,730,925,705,565,635,025,710,571,966,873,
643,355,730,943,292,707,016,231,003,172,198,429,366,635,146,271,991,399,780,
912,600,276,327,479,500,893,607,829,365,421,739,192,171,047,769,239,655,776,
450,138,368,842,446,051,302,484,811,480,077,762,452,829,814,186,927,450,763,
145,120,991,031,322,708,569,306,813,279,486,845,683,032,627,310,238,864,701,
013,532,022,350,688,818,900,557,661,076,603,953,434,515,546,815,069,955,370,
328,273,269,424,644,426,887,231,901,970,504,886,790,140,618,177,234,539,958,
144,474,553,585,444,468,296,406,154,883,647,198,994,511,717,242,879,973,903,
768,054,135,105,400,411,261,612,749,864,803,009,011,984,843,859,481,887,799,
458,274,635,591,525,988,203,717,454,357,079,526,381,691,205,445,469,081,434,
580,599,642,095,628,273,466,528,861,655,645,600,550,535,861,892,387,993,193,
064,982,801,413,433,533,543,499,070,953,856,364,325,986,148,060,099,572,783,
884,285,855,748,088,559,126,671,900,991,805,932,502,603,430,320,040,552,407,
915,972,625,711,881,656,801,689,675,498,252,330,659,000,810,706,308,420,395,
245,228,845,280,568,457,431,474,266,252,579,134,348,003,251,889,312,290,830,
109,868,994,047,211,268,998,758,089,584,506,154,116,204,201,094,450,189,315,
805,878,597,976,997,200,600,469,527,580,345,195,783,150,984,957,919,194,457,
434,352,182,394,777,636,583,178,478,632,341,487,324,627,065,791,550,594,020,
275,115,292,174,642,964,431,574,629,259,326,842,141,197,620,466,433,720,086,
914,603,344,223,929,772,186,245,707,353,662,096,591,260,734,579,734,682,287,
438,262,167,903,071,218,948,936,827,174,244,228,319,138,696,254,137,952,062,
120,401,120,097,279,244,028,882,689,322,519,117,747,878,282,514,628,791,353,
914,937,385,333,378,364,414,021,508,363,747,949,289,736,048,849,719,610,656,
019,050,392,515,731,223,573,212,294,724,611,071,094,466,574,231,833,396,685,
716,411,781,675,884,078,650,309,358,515,921,700,052,079,023,912,928,187,604,
197,819,201,773,909,577,023,682,534,218,595,397,601,185,718,229,623,965,629,
458,446,578,272,784,841,823,587,248,879,461,803,460,846,789,765,959,847,937,
437,657,713,391,147,320,668,201,901,882,516,438,511,877,058,606,776,186,968,
437,404,299,022,873,758,645,723,853,734,916,786,502,871,049,071,443,073,136,
420,846,236,246,401,394,086,711,867,339,025,077,047,008,210,359,290,971,139,
976,735,471,851,333,072,572,756,434,745,483,115,240,604,171,340,161,281,237,
450,811,537,714,241,145,500,103,247,972,937,938,619,587,544,600,581,684,155,
357,889,419,204,042,869,790,184,452,037,399,819,634,872,541,234,053,422,368,
602,280,180,079,472,812,743,098,817,915,636,034,113,171,492,072,346,297,102,
707,555,560,772,759,719,154,065,264,018,682,263,278,431,578,575,572,142,107,
461,879,101,008,711,345,645,918,945,574,691,131,609,184,484,783,503,210,543,
610,248,650,052,568,666,251,865,669,700,923,937,908,433,444,782,091,141,599,
911,560,336,489,004,349,952,240,159,279,406,844,302,960,582,826,343,724,644,
626,727,108,412,783,407,770,570,794,072,671,936,885,937,228,591,469,115,403,
613,540,733,210,218,093,544,772,327,902,998,963,997,045,883,037,222,045,708,
451,352,109,822,683,150,909,229,041,619,772,865,563,822,792,959,036,251,198,
162,094,095,031,479,000,422,650,460,388,525,270,969,697,049,906,114,434,695,
164,311,893,766,332,866,482,668,545,881,982,743,284,588,481,940,647,339,379,
291,165,442,812,633,728,596,598,597,362,561,728,949,046,192,301,391,791,013,
065,564,503,770,166,034,152,786,784,060,239,814,163,175,195,259,377,953,182,
109,263,546,575,198,333,116,695,681,638,255,357,321,294,331,106,146,019,291,
997,145,440,768,065,957,906,718,381,704,153,382,072,200,910,091,562,388,381,
254,417,558,722,285,729,807,746,698,443,489,820,811,766,193,205,427,671,472,
408,992,289,377,733,456,098,064,959,741,257,366,286,609,108,728,946,624,696,
340,241,664,675,416,779,648,065,176,035,149,963,986,377,815,438,902,272,965,
552,036,191,929,746,103,949,374,425,203,325,310,918,019,639,025,853,047,653,
917,116,980,729,910,517,226,282,891,207,303,047,389,485,961,982,729,674,725,
945,055,585,114,325,516,417,841,952,975,925,445,370,326,288,678,656,684,500,
549,019,846,410,955,415,981,144,754,069,856,971,628,064,616,764,597,298,165,
814,127,896,237,044,099,598,180,394,532,714,527,795,885,063,097,240,029,573,
368,548,191,000,686,641,330,545,628,118,156,621,226,449,189,935,856,954,610,
661,404,930,055,990,537,468,893,203,009,492,569,089,955,101,261,120,143,365,
869,443,586,932,955,998,208,733,268,959,914,335,987,731,055,751,403,449,247,
991,563,130,121,816,186,743,561,007,579,007,625,897,828,125,116,677,817,185,
389,551,692,268,284,299,217,971,548,263,533,084,613,381,705,388,843,941,632,
461,523,341,032,971,559,735,267,152,535,829,180,146,111,164,882,436,379,854,
323,755,870,986,824,006,858,547,440,760,663,403,833,041,739,554,049,501,370,
291,127,888,451,949,534,956,272,534,082,772,795,086,375,169,643,044,922,093,
306,041,644,738,807,695,855,851,646,333,415,227,051,061,584,479,814,509,664,
464,968,523,830,132,390,340,250,226,770,684,291,053,835,176,440,106,788,617,
632,886,441,671,838,644,525,622,271,605,873,613,091,672,919,168,360,658,061,
755,828,702,109,180,157,754,347,240,553,337,775,200,146,767,744,404,798,555,
853,575,643,179,107,275,712,706,322,341,481,354,779,048,990,510,039,922,759,
280,052,563,370,398,379,740,970,657,767,804,529,058,988,598,344,648,164,508,
168,889,244,351,689,533,656,697,058,542,038,918,001,684,642,543,704,790,954,
928,090,820,852,511,922,759,870,809,859,470,050,520,678,509,399,868,628,615,
284,423,737,922,144,369,173,845,419,448,654,359,342,433,187,340,403,551,377,
353,747,959,829,374,871,076,456,507,387,496,492,131,231,511,009,054,823,742,
734,056,482,437,304,091,333,478,423,149,012,423,526,283,968,091,745,241,052,
356,197,250,640,203,154,990,298,404,359,996,377,927,427,927,068,080,760,593,
543,314,352,612,217,813,814,449,684,150,054,698,972,381,138,406,730,226,127,
314,555,376,276,352,947,976,043,705,638,480,258,634,864,942,457,350,535,715,
416,868,926,464,053,278,395,870,550,548,016,715,046,046,157,963,542,661,839,
229,459,725,268,233,849,146,426,001,783,716,587,539,903,057,097,960,608,215,
529,109,955,401,398,301,711,831,150,964,778,624,127,845,683,749,135,625,893,
145,168,929,002,160,512,120,633,301,263,825,140,267,639,758,543,198,126,306,
347,001,155,496,056,184,005,862,195,214,102,792,005,135,998,295,097,622,881,
420,457,444,926,977,701,629,847,418,143,272,330,563,429,763,291,376,350,360,
418,836,242,351,957,581,075,406,581,987,270,057,329,632,144,348,914,922,276,
259,490,181,174,259,209,151,268,565,370,046,264,155,417,785,205,016,792,042,
927,368,865,589,659,329,825,423,084,201,593,921,297,045,459,962,587,862,658,
516,125,172,542,811,872,596,923,348,347,724,276,720,175,080,125,272,429,530,
355,847,155,130,258,956,935,628,100,644,945,401,233,860,421,178,690,334,815,
376,575,474,082,673,663,581,975,866,191,864,722,512,908,083,491,234,457,553,
536,517,403,036,423,546,895,005,909,800,106,877,687,309,566,329,049,458,059,
920,318,229,293,903,607,629,055,497,189,713,733,904,954,566,560,293,927,234,
495,600,639,168,145,136,040,699,428,970,804,691,198,616,779,390,794,958,260,
570,326,729,835,168,890,120,218,502,706,241,952,701,668,506,325,185,902,728,
131,593,611,484,843,731,864,954,163,684,770,903,147,973,915,402,103,056,917,
219,278,927,818,586,801,804,831,485,862,329,119,419,568,222,158,134,645,881,
028,678,108,086,834,338,628,769,192,664,536,240,002,440,353,541,550,108,847,
215,426,544,711,074,821,816,522,061,146,669,483,798,010,318,606,694,146,951,
090,203,057,041,989,415,069,753,876,525,981,616,751,773,335,040,237,018,219,
853,363,926,737,049,508,068,153,141,460,467,627,303,639,057,542,324,712,234,
267,791,357,821,226,589,264,932,250,968,984,775,157,666,573,592,223,318,390,
662,880,016,686,796,069,805,190,345,365,749,388,440,812,357,065,053,020,195,
120,442,325,085,024,852,767,666,145,381,310,783,431,417,102,723,328,801,303,
949,146,563,998,162,267,594,203,933,347,078,242,209,559,798,648,846,461,639,
896,422,317,078,955,797,228,447,479,239,005,735,597,124,042,837,690,259,862,
998,583,470,860,111,095,677,243,418,370,976,704,893,027,543,827,294,274,152,
703,001,314,709,322,221,339,918,978,150,437,028,406,275,244,779,582,755,942,
648,342,743,908,994,952,216,660,815,501,192,322,668,363,474,516,159,290,444,
802,807,807,920,558,464,399,338,438,841,271,614,203,202,724,186,430,774,730,
008,401,940,576,427,098,836,947,497,942,277,688,439,682,885,928,575,265,154,
464,311,200,111,191,061,472,257,821,453,068,907,857,392,821,366,910,613,253,
250,210,161,933,648,242,319,915,101,457,490,588,262,902,764,946,364,281,330,
965,677,851,941,475,771,925,933,043,068,747,400,604,665,618,126,763,389,950,
593,173,979,822,965,848,568,812,486,433,314,134,553,553,485,967,148,453,501,
931,644,516,860,978,891,086,081,887,249,376,107,375,031,827,722,476,835,212,
719,785,557,939,751,713,930,229,913,489,539,501,872,349,250,486,158,251,823,
642,149,717,043,969,949,199,412,408,447,612,842,587,509,277,191,663,878,990,
267,484,239,908,351,413,512,267,567,768,037,557,612,778,177,032,381,421,139,
666,641,402,002,628,620,371,936,106,025,555,560,175,893,708,849,338,846,656,
077,046,467,945,278,922,946,082,274,268,027,458,581,568,274,447,965,366,644,
402,498,575,009,472,101,141,469,337,835,001,005,573,137,159,319,296,725,851,
014,781,067,979,052,203,175,966,036,676,231,033,646,614,195,110,581,733,433,
680,572,184,611,645,775,759,383,810,577,598,762,417,323,520,158,847,772,136,
247,541,542,659,806,379,246,377,518,751,333,897,068,880,220,948,142,762,856,
510,679,516,947,604,575,882,715,093,913,825,609,821,984,963,763,458,875,248,
300,984,906,587,862,006,922,569,499,052,903,308,512,828,020,271,013,948,175,
425,294,853,619,377,542,638,057,321,798,444,068,936,001,539,252,189,967,285,
340,119,044,795,018,323,048,318,262,997,677,368,980,703,197,307,948,298,060,
279,681,098,967,490,252,352,899,096,390,817,231,957,148,111,032,497,623,781,
569,167,644,472,955,762,174,670,072,158,559,486,225,941,709,199,170,685,148,
412,052,398,620,729,436,775,435,948,853,456,812,470,803,410,627,421,933,655,
170,777,058,943,855,166,335,329,075,652,602,325,108,442,352,211,422,743,286,
227,760,821,865,096,294,585,800,735,421,729,856,000,334,988,674,421,582,395,
796,074,170,850,763,492,831,804,154,387,008,808,212,559,647,956,216,268,106,
961,953,062,192,298,055,199,268,848,987,555,255,788,164,521,774,443,632,299,
446,958,254,717,196,789,726,519,856,906,148,161,856,724,861,652,015,106,679,
923,271,269,086,086,241,052,291,755,392,184,778,788,647,582,246,724,682,026,
639,408,274,452,372,860,303,055,567,875,064,651,071,481,159,036,278,870,548,
232,910,321,915,534,183,647,127,905,551,677,984,003,819,257,868,587,721,940,
015,212,263,943,099,165,363,180,480,119,632,887,969,144,898,968,476,439,551,
765,306,544,286,607,049,861,547,971,696,446,682,269,885,975,685,633,204,980,
640,284,941,037,348,492,714,452,329,178,914,290,238,807,796,691,064,221,011,
578,605,967,327,706,393,373,872,893,533,677,405,379,369,359,133,001,620,095,
648,920,333,367,218,673,845,596,482,242,333,020,823,221,299,753,930,566,944,
778,310,340,855,200,088,097,494,433,913,459,290,520,290,045,171,304,124,780,
535,151,674,911,301,534,530,792,985,072,593,773,359,624,228,989,627,652,637,
023,072,846,909,752,663,408,797,141,247,554,382,143,794,594,205,830,378,471,
633,087,701,423,238,624,411,856,138,687,037,991,705,386,703,433,000,910,057,
472,612,912,625,750,971,283,016,762,103,639,286,812,432,237,797,267,948,246,
014,709,648,990,348,398,324,948,294,945,082,768,492,659,431,945,953,172,006,
551,389,753,258,459,427,077,475,494,722,694,326,759,187,724,908,735,112,733,
510,615,192,655,297,190,493,173,833,822,016,305,963,638,785,024,254,847,760,
013,111,281,661,708,547,401,872,857,112,999,892,225,860,338,151,059,150,351,
848,407,899,125,107,570,110,714,832,352,381,724,278,691,094,694,762,325,593,
063,042,226,147,549,081,811,539,770,853,607,879,530,215,379,718,068,760,091,
858,247,595,657,523,263,791,531,211,397,585,043,483,055,577,003,814,713,951,
336,253,794,990,463,716,801,582,569,513,667,883,315,674,790,295,185,880,311,
026,897,439,251,137,607,636,030,257,996,718,687,203,727,266,197,035,714,098,
449,252,057,322,672,873,837,911,766,158,026,288,804,353,874,043,754,892,431,
845,218,009,948,135,951,096,443,484,402,365,545,596,466,065,159,907,302,171,
717,719,130,839,840,397,923,492,576,480,952,233,072,873,421,068,338,000,990,
374,181,554,288,266,686,080,127,715,166,248,222,093,455,259,181,380,782,112,
207,470,826,192,481,448,225,404,827,269,891,004,881,656,368,012,026,520,906,
928,938,842,977,195,931,980,259,619,383,339,979,893,409,987,732,601,969,255,
180,531,331,333,376,422,262,705,489,954,153,026,801,949,622,658,364,203,131,
689,548,872,990,972,026,532,184,380,997,075,659,300,266,694,458,730,625,993,
186,130,593,793,814,904,610,966,055,235,660,278,331,046,050,515,508,102,452,
190,602,627,320,569,692,251,711,886,143,107,390,201,639,258,811,376,220,151,
039,721,868,773,349,951,157,419,616,847,764,666,098,657,466,232,560,535,902,
871,899,078,711,801,483,511,917,732,006,515,450,298,756,478,558,591,433,640,
507,664,130,472,205,523,118,326,195,974,284,072,942,222,577,412,721,060,095,
995,422,210,786,391,568,808,317,603,960,319,560,733,146,497,459,199,807,043,
765,469,168,120,427,325,035,544,906,024,899,820,098,425,018,740,406,578,125,
738,488,892,353,879,409,683,105,297,190,514,208,930,423,345,582,633,772,204,
827,872,029,531,497,717,303,454,865,121,075,268,021,007,931,868,393,795,748,
025,419,540,865,945,119,767,352,603,278,035,168,091,340,095,334,219,326,255,
583,444,825,635,357,839,939,545,405,030,877,739,961,538,566,035,012,727,998,
209,193,926,467,636,508,137,703,995,936,636,259,488,653,413,658,349,095,884,
659,996,263,810,331,331,838,103,634,399,008,478,879,392,153,613,362,415,007,
023,669,385,031,379,764,957,951,156,821,595,758,330,909,468,435,530,968,987,
480,129,435,824,766,585,390,587,371,768,784,449,718,259,005,845,939,694,756,
226,527,804,479,317,949,641,704,305,902,378,496,957,082,907,042,404,525,703,
412,384,141,634,009,444,436,735,739,901,862,100,198,982,494,756,941,959,603,
040,442,449,153,619,397,629,586,488,518,478,082,360,456,541,961,283,716,530,
242,048,475,131,623,514,190,444,590,439,097,055,140,851,493,579,575,946,340,
773,558,544,972,107,704,032,517,869,810,342,136,509,995,214,650,010,100,979,
823,446,792,396,842,884,218,707,058,921,344,321,257,096,671,335,735,083,594,
886,036,202,442,204,452,476,237,130,689,154,955,954,313,820,940,565,416,660,
395,331,838,544,953,038,723,056,194,573,790,724,375,428,754,646,414,571,836,
900,692,862,757,534,887,614,601,234,371,883,805,914,731,066,219,899,389,217,
396,438,086,003,542,847,101,562,105,157,844,426,868,050,369,489,942,969,846,
421,194,387,782,046,936,047,450,685,025,061,121,015,696,599,378,738,123,488,
520,291,025,675,395,839,781,337,432,467,166,715,547,577,859,932,499,326,591,
568,634,497,547,871,679,866,108,295,681,943,218,639,273,227,654,874,359,691,
465,015,743,961,983,850,808,924,939,039,479,057,747,410,142,118,835,805,273,
484,506,138,165,336,347,866,762,565,455,180,458,043,827,753,548,717,829,043,
827,054,251,131,433,977,386,790,933,030,975,542,736,065,972,222,035,246,026,
959,922,257,868,334,506,631,874,082,300,671,200,860,006,977,154,864,791,755,
782,468,663,516,781,224,903,332,859,019,604,544,544,050,372,400,972,613,987,
585,760,674,944,385,673,947,309,685,329,672,210,430,171,648,698,444,208,794,
600,818,634,266,556,908,629,636,873,225,316,731,900,418,002,690,478,993,501,
696,956,382,861,811,058,242,332,936,216,939,805,072,411,924,972,168,263,109,
473,376,359,976,516,110,435,273,443,248,071,101,639,059,979,521,388,322,225,
712,904,401,782,232,330,033,891,591,227,281,538,533,755,836,589,159,528,364,
938,358,359,867,058,259,447,450,717,389,510,680,274,485,238,105,728,176,757,
878,695,406,264,115,829,524,168,156,522,785,197,273,238,256,612,084,516,019,
240,144,592,085,513,241,238,919,902,753,107,604,456,682,360,071,303,140,411,
801,633,090,096,042,805,941,673,195,444,211,978,293,710,629,164,869,569,554,
249,305,892,998,789,303,125,724,383,242,523,702,592,975,182,600,844,822,025,
910,149,016,859,612,602,640,142,235,096,272,899,711,938,658,365,458,706,656,
923,678,947,552,678,281,745,659,179,858,058,598,340,767,813,807,769,441,173,
383,685,442,703,070,321,121,756,383,271,850,637,133,150,934,604,070,003,387,
003,747,100,186,112,201,614,240,463,784,759,310,575,712,694,884,899,539,252,
517,346,584,766,518,135,238,015,710,862,199,932,607,837,553,178,524,796,488,
558,725,575,170,451,307,387,478,319,699,808,940,170,384,411,324,377,523,572,
067,065,462,279,992,769,124,566,932,536,976,100,210,406,402,171,768,772,137,
819,233,313,789,668,203,476,006,315,626,699,798,742,211,189,993,136,520,396,
302,971,764,129,440,648,864,581,912,724,868,190,746,120,226,985,934,424,999,
538,277,624,914,879,551,989,814,639,810,071,192,137,307,616,576,616,718,033,
659,632,963,175,738,487,388,085,144,266,474,359,015,277,747,295,055,818,247,
733,418,555,710,356,951,973,349,829,955,170,759,356,903,762,388,558,628,233,
168,533,158,140,922,738,843,752,688,669,045,097,142,990,395,656,425,767,439,
612,236,370,494,779,904,850,714,150,547,982,153,406,992,104,876,647,398,865,
972,158,195,779,353,328,926,240,079,687,081,861,242,612,395,964,602,561,019,
980,812,388,102,453,842,237,625,454,361,037,922,808,709,870,563,334,802,395,
322,256,634,876,829,973,224,155,158,922,585,344,477,813,712,879,639,465,199,
102,787,045,305,242,116,557,123,287,430,744,795,966,150,574,523,036,092,488,
794,495,723,949,474,128,553,801,587,535,313,618,841,198,795,465,278,436,680,
541,816,032,292,551,221,087,651,295,742,688,585,835,646,527,335,321,049,677,
598,919,389,272,694,369,992,529,038,390,084,672,214,308,234,010,978,508,447,
306,429,971,236,366,679,448,351,062,472,935,951,060,381,615,913,395,421,001,
121,737,672,044,024,442,127,028,895,384,780,564,961,002,706,197,155,803,333,
967,438,407,733,832,301,691,276,436,187,825,902,258,044,937,201,696,843,003,
467,617,172,543,208,001,058,722,579,980,803,619,507,333,415,717,828,785,093,
372,885,324,370,024,389,397,176,170,012,590,515,379,065,616,034,242,312,377,
338,595,159,841,342,569,632,542,000,885,050,348,688,074,697,470,326,919,036,
273,811,412,674,169,603,810,758,287,227,811,953,327,181,170,076,884,589,517,
107,261,975,102,103,649,902,816,121,900,397,445,300,709,498,816,910,198,990,
882,908,778,387,281,394,321,439,362,810,582,966,568,723,758,899,452,835,799,
857,435,850,359,188,226,010,430,101,050,982,908,449,103,082,152,512,401,089,
435,622,321,676,700,723,341,404,728,269,515,480,006,039,575,106,788,091,996,
560,009,102,948,977,290,009,784,590,035,388,650,079,149,061,912,605,147,545,
057,718,536,736,578,767,924,677,064,781,915,548,727,392,265,191,621,017,289,
123,846,177,996,850,655,978,059,809,204,787,028,575,769,313,741,211,922,676,
100,812,758,478,594,868,933,045,800,795,190,957,698,130,632,002,719,981,490,
765,385,239,293,071,348,518,908,484,662,586,340,884,289,286,440,021,935,182,
088,856,765,965,020,089,899,771,285,912,691,437,597,664,223,592,044,177,821,
332,962,561,980,567,539,558,926,369,836,205,988,131,009,767,639,117,208,999,
772,388,574,708,460,284,031,603,522,987,281,397,403,469,225,270,054,930,663,
007,259,891,153,375,590,175,740,905,667,849,810,536,144,790,304,455,000,548,
371,063,705,824,916,598,275,838,831,762,052,554,169,339,230,295,884,010,296,
704,827,515,509,300,880,964,656,755,741,643,807,576,694,207,604,476,930,799,
535,683,895,950,256,434,518,242,202,628,219,279,901,835,258,264,948,269,769,
176,847,567,094,970,879,725,107,203,532,415,677,268,486,624,836,404,360,161,
599,397,083,847,257,577,200,740,411,507,371,508,536,548,099,169,223,514,645,
263,242,602,138,034,411,278,763,365,554,217,404,368,618,919,336,443,113,463,
204,398,596,680,416,572,593,647,169,733,635,100,821,709,005,091,357,988,569,
366,821,663,537,479,381,342,290,258,118,420,738,968,180,707,152,222,268,590,
689,979,557,254,590,475,734,489,111,859,234,516,964,978,593,099,502,722,804,
440,337,655,318,199,774,257,504,498,260,299,724,009,769,691,055,993,800,377,
717,694,668,923,519,199,288,229,824,886,123,929,577,390,059,124,520,213,317,
375,603,180,745,236,638,541,450,338,198,894,084,424,141,431,751,650,949,648,
786,642,175,177,978,316,728,243,117,610,466,212,692,936,405,334,270,497,521,
901,604,456,923,029,532,367,176,549,586,963,658,263,682,951,954,767,622,076,
152,354,960,680,519,270,175,840,771,598,595,060,205,727,384,823,803,390,041,
890,298,257,718,960,851,341,739,841,658,555,312,439,685,443,446,247,376,821,
689,102,940,186,287,075,717,092,235,917,761,257,645,810,446,772,651,886,510,
192,145,534,741,494,807,695,483,059,614,393,616,107,196,537,811,961,434,264,
899,818,709,087,050,752,729,978,955,144,466,977,534,312,597,326,729,671,365,
700,982,893,195,591,470,141,522,736,567,859,842,834,269,322,540,029,950,306,
337,740,557,974,140,441,535,136,034,751,601,034,639,447,829,135,237,929,680,
225,290,275,959,520,760,999,331,013,356,500,903,426,384,440,035,840,153,939,
420,254,841,192,523,481,463,295,825,009,725,541,567,698,183,914,684,642,707,
375,421,456,676,404,005,513,558,402,813,492,061,488,593,767,967,998,700,187,
604,863,955,127,127,190,309,195,083,652,605,696,623,334,960,620,615,437,527,
161,628,077,505,213,878,165,115,153,592,952,549,314,861,976,435,882,293,755,
312,885,277,653,202,503,257,475,910,591,870,624,970,044,536,426,895,339,152,
985,548,981,488,586,454,286,248,269,175,426,411,648,815,662,689,442,831,591,
235,127,565,218,503,000,840,912,860,616,237,694,677,801,587,366,752,603,477,
022,541,879,658,677,775,339,264,199,737,577,622,124,560,215,858,147,346,742,
079,029,035,798,924,787,166,078,261,320,147,837,352,608,802,722,146,191,082,
018,687,270,822,714,399,843,297,274,248,471,511,874,909,166,583,590,263,278,
747,944,319,929,580,493,640,794,022,139,160,750,053,299,662,567,439,156,378,
390,619,284,728,853,563,106,833,577,747,852,625,546,158,146,135,204,975,284,
932,438,779,171,276,064,815,531,772,860,015,565,457,238,819,500,640,980,389,
515,230,971,182,659,274,069,816,089,089,749,759,796,136,974,008,928,154,228,
985,582,583,773,945,297,387,254,844,439,745,499,517,721,537,025,947,731,429,
916,558,452,700,781,676,679,747,170,404,619,610,877,092,461,680,605,602,637,
219,075,624,708,044,205,233,437,912,059,439,374,255,701,554,952,428,422,506,
527,911,115,770,628,135,463,663,938,623,267,565,743,342,033,980,526,636,367,
662,563,738,634,407,194,427,913,502,160,487,963,186,102,077,438,150,207,498,
413,090,534,812,724,787,722,291,776,172,063,516,839,182,227,796,412,887,739,
166,518,109,500,283,303,699,159,436,706,220,956,581,985,756,229,855,510,998,
856,801,859,572,008,401,867,555,531,593,892,001,660,845,154,995,323,794,082,
722,028,410,797,137,105,172,605,693,912,747,980,201,699,610,953,014,879,574,
041,236,923,013,417,201,321,520,800,910,126,502,534,834,829,601,850,318,012,
298,479,680,517,945,465,467,432,699,835,889,012,028,147,678,195,565,288,750,
594,751,680,525,466,970,502,134,659,248,164,639,613,633,597,017,152,077,053,
893,966,621,693,499,912,301,732,453,254,224,394,342,499,562,803,012,077,499,
694,671,803,881,782,303,942,795,168,821,915,907,119,724,955,275,959,854,381,
540,331,930,588,113,990,172,042,684,803,255,500,724,415,650,133,457,845,560,
834,463,594,125,147,998,628,486,263,376,862,936,701,261,515,128,945,174,011,
496,730,083,640,561,123,530,105,310,690,637,443,005,769,434,377,890,217,506,
864,939,396,201,688,608,644,035,537,032,074,804,424,349,550,980,198,154,004,
693,013,470,002,305,705,401,532,054,815,866,690,339,111,897,221,350,905,560,
053,694,517,996,195,007,395,612,655,672,863,228,333,939,596,285,215,561,706,
691,759,678,991,599,991,005,149,134,834,695,058,060,615,217,666,797,600,136,
693,757,711,481,332,090,636,212,201,618,986,717,367,918,542,373,317,191,664,
768,467,066,896,991,349,514,540,485,990,076,086,821,947,168,054,281,053,466,
429,044,297,326,149,098,738,929,380,753,290,375,669,162,892,931,559,121,340,
752,940,501,270,042,042,411,894,924,286,696,113,352,206,290,705,905,979,125,
905,226,660,656,473,016,676,625,108,680,754,496,942,824,467,494,041,169,726,
432,365,740,272,220,220,834,949,768,507,407,286,650,592,153,660,598,997,298,
921,730,136,037,544,699,445,267,232,319,276,240,411,116,872,871,353,192,966,
792,796,875,981,094,016,310,267,422,139,941,189,981,784,324,240,847,284,240,
443,784,644,621,480,732,502,779,613,228,073,178,168,176,842,429,674,284,600,
157,285,811,734,045,065,913,619,212,146,496,327,634,257,210,915,324,945,738,
401,129,894,113,943,946,429,304,377,664,933,637,821,497,643,052,115,797,198,
632,343,069,792,752,147,559,295,960,535,141,909,142,213,036,650,739,218,398,
943,081,048,390,725,699,342,006,742,847,647,972,962,919,285,945,103,056,655,
338,547,399,598,660,680,258,276,615,723,067,191,456,248,011,859,366,224,396,
220,080,913,125,999,659,001,940,897,476,520,173,487,097,054,884,400,686,608,
147,026,221,402,962,135,369,784,684,965,390,777,313,226,992,339,809,447,712,
122,934,240,805,969,533,065,414,184,330,797,695,289,465,616,096,772,882,906,
132,635,634,210,172,953,040,401,702,333,036,836,869,642,284,859,767,196,711,
149,694,071,765,059,337,924,948,867,196,494,668,801,958,809,068,581,577,770,
698,789,104,337,236,691,096,628,302,606,083,389,391,574,777,382,094,438,222,
093,853,013,786,062,199,579,103,975,698,263,079,167,034,145,527,679,767,523,
582,555,742,313,930,098,811,341,357,404,152,459,871,534,886,057,548,769,590,
856,018,489,311,969,068,100,692,293,154,381,954,842,991,155,625,950,806,210,
124,009,920,209,243,662,991,139,490,342,366,590,911,828,750,425,537,657,236,
908,400,398,342,832,998,237,332,556,713,463,704,730,699,170,837,620,506,681,
808,507,389,114,704,838,672,404,915,360,979,294,465,456,319,920,031,531,430,
874,556,869,464,916,280,218,784,901,340,012,961,921,907,838,782,417,247,956,
510,102,971,555,779,998,377,314,625,634,242,774,370,887,268,875,389,220,081,
027,755,523,483,912,923,256,226,372,279,992,684,139,277,866,947,250,677,895,
435,978,782,317,068,788,733,439,096,560,333,441,446,168,844,809,288,826,017,
044,932,150,085,035,971,787,584,946,799,054,122,144,586,350,956,861,843,880,
207,816,367,877,310,610,151,427,006,326,340,644,078,599,566,357,617,458,521,
268,571,580,800,025,392,859,860,899,251,726,282,066,272,218,343,011,605,238,
731,503,741,586,941,662,537,180,494,768,312,119,293,824,321,976,151,119,914,
492,657,270,384,886,812,049,512,210,184,065,632,666,188,058,764,953,671,243,
500,554,487,207,539,849,341,227,698,024,007,527,605,583,144,915,197,925,696,
186,667,553,297,695,176,855,077,009,150,244,870,073,802,315,636,417,084,186,
179,479,057,365,019,021,430,363,724,921,940,948,774,788,334,611,136,561,437,
398,768,991,481,752,661,899,113,663,342,468,536,537,112,247,869,695,984,688,
093,544,467,214,359,500,292,169,327,693,367,305,947,692,998,387,583,194,641,
098,799,445,762,938,875,291,723,556,006,772,939,853,854,895,958,114,827,665,
217,936,731,610,099,667,729,083,043,062,397,253,671,448,820,919,024,604,463,
043,953,217,810,208,303,105,438,170,453,406,011,605,298,689,451,032,053,137,
925,653,993,662,257,811,955,501,940,032,713,040,488,263,878,572,507,314,809,
611,111,200,469,435,822,105,780,115,487,091,901,126,420,731,730,555,739,262,
857,913,247,508,595,975,009,187,692,613,984,051,061,932,747,083,917,592,019,
307,859,425,220,255,522,709,910,555,320,145,787,690,606,153,038,905,456,895,
966,884,126,747,743,324,300,681,559,467,799,341,184,245,654,670,811,441,240,
522,027,037,509,384,456,260,418,650,235,061,403,703,165,712,207,488,155,803,
376,990,493,622,056,598,412,374,933,597,932,245,595,313,113,317,757,323,078,
631,320,600,925,287,277,091,907,382,671,260,471,963,511,077,049,878,933,576,
328,152,295,783,277,625,705,003,669,406,709,558,758,677,157,872,704,759,226,
804,768,729,324,307,293,460,669,682,647,957,069,269,599,954,393,906,313,988,
095,658,308,369,196,838,103,134,228,861,079,841,772,803,060,852,309,975,115,
315,359,332,777,470,650,425,023,141,275,253,185,318,453,444,370,566,559,157,
669,990,200,347,737,181,866,079,900,583,252,200,676,038,714,169,453,302,881,
085,218,695,928,363,860,275,028,470,862,867,152,751,148,527,472,381,842,096,
947,213,256,554,990,689,033,134,452,778,908,198,802,224,784,146,183,598,600,
941,983,877,382,481,265,674,829,552,679,868,928,639,249,296,460,379,417,202,
710,467,093,925,231,319,907,728,150,613,503,246,406,885,378,454,221,165,936,
997,663,275,344,289,846,327,129,333,215,495,432,328,886,061,191,777,350,595,
765,407,959,421,624,933,310,107,810,937,805,204,501,921,357,107,910,667,339,
008,904,184,017,504,729,532,895,086,973,549,475,238,873,946,109,406,786,495,
098,719,160,705,428,624,854,004,213,521,793,804,445,446,280,349,767,542,093,
817,204,443,623,387,502,805,137,295,752,681,263,718,961,946,592,589,198,987,
153,345,504,943,820,302,540,996,952,963,661,144,957,642,832,883,154,195,180,
105,620,802,910,802,631,087,746,285,220,224,946,289,589,029,898,862,808,349,
327,293,640,366,858,399,421,863,418,333,339,108,115,410,299,155,023,385,279,
249,817,897,773,401,698,898,180,999,237,407,070,688,837,806,927,717,998,384,
006,327,046,007,243,815,276,715,751,275,772,539,156,741,743,869,199,681,087,
208,257,760,378,700,815,537,309,454,194,591,716,727,547,790,806,327,397,059,
535,593,791,525,645,548,002,328,823,531,911,621,067,668,330,954,120,980,366,
529,610,531,329,567,557,176,127,482,356,707,546,561,140,035,776,306,779,109,
707,947,808,276,091,695,294,703,177,068,828,103,713,544,659,973,013,201,896,
454,400,695,365,897,833,935,846,049,824,129,291,789,703,825,993,307,306,201,
262,022,328,849,970,834,054,876,137,572,475,432,875,569,663,955,006,677,467,
059,890,218,313,295,584,634,214,709,808,741,739,881,765,917,640,626,998,665,
177,256,050,424,354,668,043,146,251,602,890,836,612,806,550,954,312,423,344,
969,220,696,187,174,828,065,291,743,807,290,374,852,508,829,814,253,230,031,
273,939,162,904,574,988,444,364,973,748,449,742,637,000,850,280,870,855,909,
430,979,961,814,752,745,980,980,445,771,162,903,431,904,404,703,574,084,337,
555,291,956,292,685,589,046,290,141,339,453,132,771,747,090,393,616,546,669,
642,360,472,485,452,313,473,232,364,033,216,841,993,932,718,766,041,795,962,
995,552,675,826,364,989,509,539,489,040,419,486,494,529,858,147,340,167,366,
983,980,502,696,035,539,990,427,624,307,939,711,233,506,693,433,644,768,338,
275,599,737,635,918,335,860,345,166,586,862,228,910,043,042,827,373,118,966,
668,722,559,872,091,196,047,637,406,767,338,640,661,949,206,899,755,859,648,
327,074,551,585,134,225,918,782,128,511,531,065,414,432,908,258,457,586,097,
786,157,626,943,528,532,425,529,129,068,569,452,404,596,059,781,466,635,523,
497,319,176,891,230,086,759,748,948,610,990,945,952,054,315,649,444,060,193,
035,440,827,667,883,473,661,790,981,991,138,584,140,081,560,496,002,609,911,
623,240,679,881,380,703,498,078,579,632,261,373,603,076,350,363,165,325,654,
922,738,793,460,864,576,994,633,003,170,006,021,299,659,494,761,641,136,589,
403,076,045,685,889,420,746,357,969,844,250,830,741,733,712,907,959,421,280,
153,512,120,058,209,750,372,753,333,227,984,752,100,627,559,634,481,539,830,
519,496,330,194,141,081,239,389,062,961,816,866,509,760,307,528,873,619,550,
868,535,036,055,691,652,657,657,231,357,443,605,008,071,373,818,713,299,661,
415,062,749,339,903,192,149,343,281,587,408,967,473,951,252,692,127,727,164,
309,789,618,078,675,939,051,758,673,381,872,801,016,602,234,871,902,262,290,
502,443,057,234,463,290,706,759,987,053,020,856,167,937,454,888,714,586,100,
518,877,716,814,079,573,127,443,473,281,024,755,170,019,245,504,536,761,214,
832,944,825,028,809,843,820,729,929,769,534,952,746,269,677,570,670,362,350,
550,575,483,430,512,433,347,130,990,843,684,826,200,130,254,745,179,478,641,
765,654,753,625,606,402,278,938,985,492,238,063,149,627,649,639,359,189,484,
743,372,461,324,485,087,575,539,849,693,637,237,481,705,625,537,495,241,642,
837,070,960,856,685,971,104,883,147,115,737,445,305,984,264,428,793,503,342,
961,962,400,508,614,140,827,815,737,319,303,016,479,826,696,257,286,338,701,
016,271,793,509,981,611,101,277,438,954,956,331,125,290,814,917,324,616,476,
683,968,796,500,153,064,144,121,512,883,575,676,816,367,647,099,901,943,964,
247,322,708,866,054,902,912,368,665,210,061,010,424,975,809,241,001,928,824,
090,481,410,300,304,179,830,834,455,482,029,011,758,662,792,479,360,261,377,
591,780,737,505,286,537,018,309,261,974,308,648,276,619,856,437,442,941,018,
555,320,291,625,428,790,256,651,014,399,164,240,673,689,420,188,765,216,671,
678,976,356,925,289,005,439,314,358,140,088,936,123,354,968,426,576,457,047,
158,188,365,260,224,965,734,556,065,222,902,879,105,019,674,633,248,447,904,
613,836,122,969,934,041,958,878,134,366,841,157,729,875,224,516,236,694,318,
705,378,385,090,172,000,138,807,154,819,295,746,576,770,966,445,405,842,559,
293,907,909,535,539,161,107,967,626,200,883,662,804,188,695,873,629,033,500,
118,735,419,308,061,233,137,918,387,131,694,358,071,923,904,602,538,546,015,
872,317,820,674,368,710,057,317,591,919,782,964,485,603,155,650,419,085,619,
364,580,896,542,220,462,939,333,478,403,431,305,094,497,961,365,933,541,120,
858,325,562,709,115,035,963,529,225,431,489,391,947,125,326,401,555,656,864,
745,512,566,230,271,006,617,159,183,445,527,534,304,255,319,875,258,884,200,
901,303,849,712,744,510,033,674,412,125,065,060,646,428,698,982,182,770,388,
444,867,383,635,733,047,667,853,217,557,911,135,273,314,009,665,075,203,609,
100,659,523,569,750,572,333,356,360,198,528,063,753,776,310,962,600,186,984,
600,155,407,428,062,779,695,792,266,756,143,767,584,536,171,086,955,281,803,
408,600,683,574,740,684,339,087,945,909,940,907,712,083,451,270,800,327,963,
431,125,304,263,849,571,662,456,448,097,442,247,428,784,971,468,609,286,992,
006,892,785,073,117,968,413,561,009,656,001,743,493,738,389,797,157,974,215,
660,681,211,689,988,853,722,566,782,674,674,358,208,291,693,808,272,883,716,
238,240,494,925,326,634,059,377,920,775,380,295,970,703,135,134,425,369,893,
349,885,848,243,995,348,200,763,359,585,235,177,609,867,643,717,315,264,301,
947,688,197,209,604,995,579,144,704,069,606,804,852,827,765,221,878,280,239,
308,677,424,568,842,632,485,700,119,852,314,764,120,203,749,495,202,390,254,
125,837,705,656,767,663,627,160,156,208,056,737,207,797,183,128,062,014,082,
833,204,031,342,190,009,907,555,525,378,606,595,200,111,106,461,838,152,864,
909,267,009,563,788,143,631,049,445,779,431,935,415,454,551,634,219,840,912,
531,131,466,325,751,933,887,443,785,551,681,032,642,703,233,551,452,483,501,
153,260,844,392,580,961,783,405,042,568,238,098,792,249,574,876,095,311,457,
059,251,054,022,646,952,319,154,259,477,094,151,764,306,094,469,500,872,399,
201,473,212,994,174,283,921,694,892,745,662,744,914,731,454,202,292,710,464,
354,066,736,507,157,442,876,958,824,186,786,949,285,326,487,764,117,088,785,
925,759,510,045,849,266,537,154,061,754,441,319,084,620,111,024,878,070,793,
492,834,728,429,156,833,972,906,617,742,116,421,149,790,515,417,618,324,289,
771,647,362,253,365,514,750,566,314,535,595,383,743,721,044,306,532,929,746,
709,623,743,687,713,763,028,825,631,133,670,523,450,088,702,161,869,103,108,
690,097,594,512,250,809,567,120,256,396,352,392,628,846,644,872,966,433,666,
125,212,671,086,084,292,550,132,878,555,896,364,767,190,084,658,850,003,819,
930,156,267,689,678,268,104,024,487,373,472,010,645,258,543,646,224,080,782,
469,831,471,514,512,544,408,824,986,455,314,420,121,344,546,388,465,682,617,
810,679,981,953,244,648,667,575,583,099,809,883,712,365,051,018,033,063,219,
847,372,698,503,028,275,202,310,047,485,291,563,772,020,958,816,713,048,646,
772,071,321,784,325,499,097,171,689,539,599,457,650,444,226,600,373,818,871,
860,413,931,576,743,186,919,283,603,317,637,845,467,099,338,422,969,844,638,
839,722,731,674,217,945,493,355,028,343,813,548,301,039,972,005,648,399,793,
946,494,255,621,678,327,681,606,002,078,041,287,552,311,640,275,882,998,008,
806,823,329,664,428,229,397,086,665,948,599,670,815,624,581,815,783,678,700,
418,185,481,541,445,465,561,280,184,512,034,265,309,752,874,521,358,549,866,
561,275,660,977,530,339,463,081,995,052,247,012,517,187,888,895,047,389,276,
391,927,108,947,038,497,083,414,712,597,375,361,895,508,183,175,564,646,065,
884,140,500,381,054,019,196,952,449,063,286,240,444,997,967,112,262,077,806,
232,010,698,439,848,828,036,730,156,408,678,534,733,846,035,678,914,136,076,
807,013,926,296,137,502,813,259,898,296,983,661,384,523,256,733,117,306,113,
948,829,836,299,769,679,210,013,360,698,972,835,214,220,227,064,724,189,645,
930,880,880,868,142,320,422,403,788,743,194,497,399,942,705,467,100,532,629,
603,244,659,500,918,198,772,122,574,804,660,705,046,599,177,745,571,262,889,
477,332,629,184,236,581,356,593,592,829,953,221,485,007,018,267,259,063,775,
756,067,741,894,348,454,372,100,702,596,910,442,694,492,352,183,258,147,207,
498,107,871,953,565,451,453,335,938,615,456,865,295,113,453,253,731,991,557,
386,209,573,464,935,181,643,836,307,083,156,836,348,452,346,583,025,324,978,
718,798,117,493,717,847,264,007,528,733,360,172,160,069,286,157,413,596,855,
128,816,864,398,935,997,791,385,750,549,455,315,157,276,866,118,209,700,151,
826,263,718,158,003,912,418,990,781,028,904,630,984,682,330,463,962,198,940,
557,432,197,838,326,633,757,268,540,803,617,577,105,901,476,071,260,711,004,
054,825,127,602,736,767,811,407,919,313,305,614,354,060,602,061,715,735,488,
260,030,669,920,188,103,806,171,675,206,026,159,919,090,221,966,582,255,240,
785,675,391,252,909,318,459,539,033,719,879,653,690,327,716,255,461,240,928,
415,911,621,398,057,043,616,976,396,256,880,878,224,482,738,609,208,268,000,
492,005,460,153,751,379,928,857,206,628,629,263,642,097,600,737,874,480,833,
766,468,946,230,011,042,225,160,200,937,014,319,508,412,943,602,448,652,710,
389,891,240,451,505,156,297,858,096,419,203,066,706,097,176,308,530,300,376,
624,594,432,895,205,564,966,010,380,555,442,243,533,626,437,373,010,875,371,
941,305,585,386,695,238,509,144,299,867,233,864,153,638,161,549,359,848,378,
233,682,705,430,856,294,844,005,850,173,516,000,042,011,091,973,660,716,768,
236,818,915,567,868,532,022,463,824,790,443,637,209,320,793,905,177,842,107,
075,251,051,722,300,854,052,830,618,516,471,839,499,433,515,997,751,664,306,
425,038,435,376,357,051,877,434,718,379,878,899,701,277,185,855,184,652,669,
942,559,896,752,942,593,507,109,619,700,865,571,424,868,465,300,056,422,990,
023,096,635,334,131,949,803,508,974,074,661,675,467,098,009,355,721,258,944,
259,984,283,946,194,022,889,339,577,679,422,839,255,363,052,920,851,209,630,
214,618,970,833,853,432,352,861,615,359,222,626,958,093,720,137,090,905,807,
844,569,307,455,483,615,884,931,849,878,017,047,048,805,735,865,463,628,745,
793,698,891,301,072,576,053,194,035,226,452,762,333,713,052,415,756,677,852,
277,408,074,228,241,724,164,402,839,823,607,377,842,260,067,303,351,542,416,
214,567,374,939,197,963,440,671,444,023,206,354,077,459,575,789,549,327,770,
891,762,290,821,666,154,036,608,752,343,071,920,146,372,151,926,557,889,807,
181,698,688,015,733,487,725,627,871,953,041,156,199,987,752,655,699,855,366,
281,797,985,693,515,795,714,126,166,700,693,042,050,658,309,808,739,813,699,
392,497,591,839,374,253,071,213,119,498,851,512,449,610,589,913,814,685,225,
439,359,885,567,275,114,998,423,034,055,610,986,150,523,107,237,102,380,150,
095,998,277,969,837,232,582,474,060,759,577,553,250,250,012,479,059,685,422,
690,774,558,410,394,055,473,790,140,746,944,116,459,004,652,195,744,132,666,
529,329,777,385,722,569,660,066,888,391,302,826,953,421,214,873,717,626,753,
600,468,718,743,712,155,411,928,128,398,047,179,568,742,282,815,631,158,457,
009,600,806,375,482,291,415,468,303,777,962,720,377,542,104,922,051,175,056,
604,887,053,488,350,709,183,109,714,858,127,606,784,781,288,728,177,268,823,
140,942,875,097,222,455,031,627,093,426,044,162,130,880,629,613,998,462,183,
060,401,525,826,777,364,982,775,943,233,017,027,804,815,435,568,855,670,458,
036,183,443,885,932,676,769,049,391,171,625,308,626,779,498,115,047,231,419,
262,914,772,732,486,899,183,386,596,586,992,698,170,316,249,106,524,403,824,
385,532,611,823,555,492,650,368,922,887,267,192,083,433,150,344,041,514,606,
012,055,080,427,635,431,222,520,260,186,672,639,869,629,395,128,512,938,230,
125,206,329,941,014,698,964,470,031,541,763,074,296,143,892,521,867,510,596,
882,646,471,085,123,322,389,241,062,655,943,942,451,868,973,016,741,232,974,
219,987,612,540,951,756,273,421,501,107,275,398,944,058,833,337,472,158,815,
847,828,321,299,605,149,789,390,784,041,348,266,421,702,751,356,056,176,063,
838,756,873,098,546,609,157,575,542,639,686,445,010,392,206,227,759,313,309,
221,542,801,367,642,833,858,104,432,175,316,579,180,589,922,830,335,415,835,
808,890,359,645,788,509,210,090,190,616,121,188,791,114,781,348,979,950,526,
709,499,533,778,206,472,332,677,313,022,757,274,310,886,927,960,042,395,505,
175,830,047,323,383,646,429,323,043,786,184,288,308,958,213,216,842,807,439,
714,492,478,133,157,398,838,139,890,694,609,410,538,255,595,369,324,429,330,
592,314,036,335,631,389,400,086,747,526,271,733,217,924,815,421,881,046,083,
196,858,319,333,274,938,658,171,847,237,840,148,805,003,162,543,208,345,261,
010,039,010,319,350,768,581,604,719,643,110,782,461,683,687,254,794,535,523,
846,993,798,434,841,061,156,514,030,524,290,476,244,064,721,464,703,980,736,
069,550,760,316,526,921,028,851,044,888,621,528,838,902,656,171,816,490,525,
237,133,733,788,339,270,361,852,164,442,373,616,500,665,471,845,691,729,468,
170,691,557,572,706,082,441,691,099,084,669,909,018,541,493,901,485,952,860,
581,924,918,974,717,825,954,649,000,321,569,996,852,339,605,349,956,812,173,
542,968,497,046,447,557,184,677,059,928,137,231,179,959,378,736,055,877,207,
799,393,813,302,917,749,852,070,049,876,625,296,265,686,563,446,992,382,318,
628,504,322,701,742,036,981,208,093,890,158,796,187,486,851,096,422,952,349,
504,882,732,838,558,574,678,666,602,824,382,814,300,189,699,830,863,493,583,
092,546,005,530,957,366,299,076,042,560,426,756,516,195,774,426,918,519,884,
789,497,950,732,744,082,708,464,311,878,923,322,969,285,884,893,090,833,620,
659,780,905,870,574,958,523,216,714,042,503,163,215,115,537,402,079,779,852,
595,383,913,144,566,918,329,174,629,272,462,006,969,479,413,773,089,750,089,
941,567,459,927,588,123,793,419,524,311,134,506,370,046,282,457,050,121,323,
022,824,546,452,383,831,039,299,453,117,697,586,628,825,970,101,932,803,389,
881,779,358,248,943,161,021,385,071,925,967,812,892,932,300,611,878,463,481,
501,787,142,724,315,523,128,191,118,588,111,234,452,159,105,810,568,452,594,
076,883,223,419,150,711,167,449,724,579,413,024,887,572,631,208,116,370,350,
079,019,635,218,229,698,422,406,785,009,422,821,231,377,821,379,475,095,569,
530,384,875,666,131,598,281,718,790,736,899,860,904,204,100,509,737,251,355,
548,873,211,749,704,555,575,650,834,850,257,644,854,331,573,880,140,818,364,
402,511,321,981,733,501,852,590,031,193,766,339,004,307,782,165,289,323,076,
994,474,746,503,841,274,291,237,060,077,710,201,041,593,484,899,170,924,115,
526,418,758,640,776,466,716,778,375,283,821,886,219,365,752,653,315,122,498,
286,724,379,012,982,231,699,754,917,857,448,538,948,899,788,948,412,685,980,
498,874,687,490,479,506,741,513,479,594,224,547,195,416,939,136,426,880,293,
320,466,593,056,677,048,095,530,672,053,370,623,016,126,588,072,328,106,997,
530,378,750,083,892,777,623,055,769,883,559,276,992,115,777,712,636,064,119,
830,451,916,760,070,034,702,483,344,238,559,828,178,457,152,668,653,900,381,
565,948,718,033,090,521,502,645,063,615,147,823,862,948,597,423,248,577,505,
057,719,141,545,189,450,924,453,581,068,306,790,696,870,805,748,669,554,099,
331,166,605,321,005,475,093,800,113,693,306,539,383,294,336,498,783,184,238,
220,277,728,384,980,785,377,065,310,833,029,087,030,157,504,096,561,671,810,
449,994,549,053,949,581,679,101,055,813,035,066,476,378,727,547,213,493,537,
333,549,819,743,887,339,506,347,775,762,533,871,282,984,535,526,113,465,676,
013,292,546,267,116,057,674,849,434,118,729,863,693,656,827,029,204,130,153,
799,415,704,072,351,328,888,157,839,177,267,159,028,276,253,121,315,583,355,
679,579,865,131,441,408,553,646,342,864,017,923,176,448,285,490,445,940,784,
477,410,285,214,487,362,473,144,729,281,998,969,870,897,740,554,069,943,877,
589,308,006,578,904,107,835,844,042,189,748,420,398,451,239,824,469,080,741,
820,317,596,493,713,880,955,799,169,658,500,142,745,288,745,370,773,229,280,
677,041,275,034,335,920,830,606,372,385,592,469,938,455,861,081,601,540,688,
421,425,437,825,684,832,826,019,203,921,159,390,207,109,809,832,219,785,077,
021,734,240,145,122,560,004,402,622,129,645,709,539,312,353,792,226,362,130,
048,762,770,429,531,075,231,019,256,407,876,389,529,686,117,761,619,878,283,
244,576,691,509,651,566,153,487,056,057,010,052,220,600,734,003,057,041,675,
085,357,654,096,718,515,786,522,403,982,194,935,791,648,316,427,827,267,463,
483,906,160,137,660,723,708,617,362,916,527,799,366,812,012,566,491,202,646,
028,444,816,773,718,557,575,773,502,320,682,248,989,072,129,249,475,719,574,
377,340,399,382,557,042,089,380,917,804,996,006,051,846,564,553,485,135,311,
820,954,388,446,137,877,091,956,583,794,241,898,973,502,602,311,227,507,282,
521,622,592,862,799,384,027,689,887,735,757,191,951,785,667,534,902,555,072,
732,293,181,838,211,249,491,458,205,772,954,605,926,085,046,244,028,537,203,
203,576,524,391,342,106,732,522,091,097,714,104,975,242,434,910,927,676,618,
909,550,038,882,350,986,604,012,310,795,775,089,936,022,096,888,453,344,716,
962,490,195,336,877,244,816,137,997,029,649,935,710,863,243,503,507,921,869,
198,412,074,240,314,117,748,884,678,819,983,468,885,406,901,935,738,352,127,
166,955,105,552,809,787,951,605,600,995,428,969,450,349,197,157,212,653,116,
053,040,697,968,382,411,641,709,473,121,126,928,704,251,504,286,140,615,666,
288,880,412,651,089,806,104,666,376,545,278,702,638,314,375,559,311,164,285,
762,724,906,681,362,760,157,930,103,462,507,347,845,923,774,019,102,310,507,
876,140,619,879,521,025,499,971,437,738,295,478,813,395,909,925,299,596,252,
129,550,002,426,797,677,758,209,239,370,371,333,395,371,288,903,749,395,620,
966,826,159,847,420,098,976,903,425,886,293,544,724,203,667,853,930,002,292,
570,706,413,940,300,252,662,388,022,740,034,494,317,330,005,558,112,125,793,
672,356,262,905,788,986,095,043,946,894,406,447,361,704,563,871,659,684,440,
400,164,098,354,885,233,867,948,301,606,430,519,306,038,020,880,476,688,692,
881,108,047,931,610,999,345,688,072,895,265,044,839,920,820,523,646,776,748,
997,086,371,300,697,164,102,788,769,215,014,842,528,100,355,104,944,885,373,
848,833,858,726,821,782,597,193,280,466,725,060,777,015,995,360,862,450,574,
986,905,588,272,403,904,652,887,487,622,806,105,938,308,318,579,340,065,925,
457,943,793,021,769,624,437,926,885,987,329,362,446,792,352,302,162,434,474,
646,609,170,465,136,445,596,823,816,130,231,594,140,267,443,869,303,119,892,
205,830,203,354,105,833,272,573,915,888,673,956,077,211,606,272,201,185,041,
366,213,688,655,040,190,517,028,406,946,537,944,238,067,270,057,828,179,290,
845,337,333,066,670,029,077,652,606,666,794,076,795,126,006,153,839,513,037,
390,757,648,419,923,144,297,798,236,856,697,344,285,557,794,709,117,884,667,
106,460,217,337,920,497,787,065,066,859,275,909,178,573,858,956,166,773,972,
116,894,557,472,806,445,907,659,650,053,589,833,839,530,645,253,352,688,184,
377,616,081,973,259,298,571,432,215,397,338,814,636,073,028,500,168,716,483,
486,279,495,095,535,080,740,462,488,917,392,007,359,608,756,035,867,879,540,
588,861,552,036,368,450,087,213,483,592,663,167,698,894,265,550,088,428,489,
534,272,591,511,128,095,602,253,757,637,235,100,273,178,093,941,059,951,335,
453,486,300,952,341,758,563,139,036,902,914,545,027,971,172,733,615,886,615,
769,948,289,744,383,187,112,499,839,061,376,493,917,344,438,805,048,822,844,
078,071,708,890,905,684,525,669,828,834,141,886,598,742,791,000,665,905,886,
120,152,866,361,524,159,628,678,326,696,285,694,373,897,052,149,555,337,348,
771,114,176,250,816,756,336,412,617,930,759,838,630,219,584,534,004,024,535,
468,715,304,835,225,272,652,515,911,658,295,162,101,260,983,320,585,859,022,
209,451,785,765,135,160,322,260,003,015,177,596,271,782,761,015,691,675,359,
253,400,083,475,795,075,515,816,829,892,747,087,902,596,881,344,638,101,126,
019,357,737,510,993,115,036,175,058,859,458,156,066,441,170,531,026,313,014,
127,517,335,444,992,480,255,322,204,727,600,715,903,966,207,671,444,171,229,
139,183,775,313,249,416,514,065,637,721,985,457,783,942,524,284,902,924,546,
072,832,192,685,963,555,084,955,246,159,218,532,353,499,302,167,945,544,200,
543,095,164,755,102,734,628,076,479,645,632,281,014,692,719,302,480,821,976,
847,792,159,894,731,089,885,316,596,112,730,674,380,279,697,745,120,771,792,
370,344,514,964,281,705,288,577,260,227,751,917,483,344,242,915,454,432,843,
906,907,610,244,708,113,199,433,639,485,758,475,708,178,136,206,503,333,635,
863,710,363,269,341,609,172,085,280,729,171,251,480,930,725,906,556,084,406,
329,219,464,812,121,327,624,600,240,179,719,939,588,829,954,773,637,556,288,
701,136,242,075,326,750,365,408,036,395,469,547,354,531,316,612,249,051,746,
182,781,427,010,581,815,042,279,847,580,121,346,939,313,125,954,846,148,732,
585,388,573,465,873,741,990,595,127,374,126,409,110,644,713,652,940,740,000,
482,581,414,044,303,195,439,407,001,529,188,880,220,032,215,006,666,566,571,
186,484,838,658,581,732,924,316,432,411,957,713,072,668,198,395,835,903,618,
253,390,057,453,016,651,191,365,947,068,878,478,744,347,297,856,221,228,460,
312,879,625,194,291,202,266,524,864,399,241,609,243,017,223,642,655,398,945,
163,051,062,223,238,329,984,444,521,334,554,961,897,155,408,647,960,079,655,
706,324,061,978,718,874,642,937,627,436,418,357,148,563,175,861,472,837,184,
233,920,131,707,594,952,726,129,231,116,050,268,465,486,284,165,684,977,895,
472,465,729,446,568,384,949,286,553,358,599,488,770,860,135,134,495,302,872,
615,543,709,511,069,653,786,574,532,285,349,674,262,801,797,095,520,414,004,
618,148,892,505,870,236,418,641,965,733,646,165,018,581,752,087,983,063,501,
535,878,454,938,042,203,111,585,722,975,770,479,403,370,060,517,958,347,510,
652,904,897,877,453,232,164,183,182,317,482,928,369,774,176,356,768,171,860,
670,348,431,246,029,180,500,042,297,826,220,875,846,376,436,294,388,472,756,
738,118,631,063,471,321,629,429,423,097,974,160,088,628,803,931,992,593,926,
835,486,978,426,133,444,936,410,095,517,295,122,499,101,116,764,358,653,642,
319,759,178,313,691,770,408,112,618,978,687,357,760,863,582,983,052,305,803,
446,292,063,500,298,703,930,885,074,983,668,681,592,120,112,698,125,358,902,
186,168,159,305,600,410,209,831,911,561,753,824,652,147,347,921,257,434,842,
774,731,164,761,614,919,781,318,159,479,808,106,669,740,964,678,619,964,074,
359,241,624,752,531,375,287,025,225,966,127,682,062,380,380,255,759,836,220,
618,653,206,935,294,290,840,948,520,532,940,125,119,788,291,891,912,084,039,
072,847,066,739,357,543,574,811,928,539,871,008,455,505,967,696,028,767,807,
077,055,518,252,505,681,357,554,958,831,307,056,785,971,729,295,761,906,392,
031,094,844,294,810,730,626,301,863,104,328,872,087,678,013,302,297,275,600,
619,148,083,774,061,428,330,273,057,414,687,518,280,729,437,109,220,916,113,
489,538,994,972,365,059,064,270,044,343,896,861,117,209,358,944,076,396,124,
504,410,035,449,018,034,346,065,199,200,627,882,492,558,522,959,427,139,490,
787,030,669,983,823,089,094,481,869,956,019,353,267,218,363,280,096,455,044,
551,252,574,033,445,725,803,106,154,716,410,752,819,454,857,508,048,599,407,
280,778,845,749,222,651,577,685,050,697,626,464,355,990,498,590,683,558,530,
177,448,518,905,575,386,850,427,438,131,973,260,434,373,844,298,220,957,409,
400,893,749,496,672,016,287,223,096,097,226,219,445,785,404,265,188,345,413,
363,164,667,142,401,746,036,223,925,354,908,032,403,805,704,012,536,003,860,
665,458,572,780,161,339,392,118,819,382,414,351,640,728,251,627,651,525,706,
757,241,107,051,540,229,695,502,637,915,577,562,681,658,761,624,685,818,152,
050,055,731,015,850,614,975,420,798,960,478,621,945,012,901,376,208,170,708,
134,111,942,236,422,859,550,458,834,537,213,359,622,266,993,325,768,723,882,
547,140,522,778,010,578,468,619,756,951,402,053,329,761,287,419,526,129,956,
470,557,427,279,369,844,121,333,794,487,936,861,933,875,465,705,438,845,175,
850,021,542,465,175,531,313,540,419,788,602,320,121,545,867,179,290,597,038,
386,576,701,996,659,503,430,605,441,665,679,876,059,083,168,159,515,017,954,
523,024,758,728,088,130,787,837,883,840,081,788,483,343,685,106,580,171,229,
713,791,633,408,513,810,092,338,940,130,036,859,975,677,297,176,351,409,845,
847,952,823,919,961,670,698,118,445,077,582,236,523,046,020,864,103,053,039,
045,214,170,169,188,700,185,329,564,325,971,036,169,969,984,310,513,166,788,
915,520,933,201,592,160,337,540,199,510,262,946,153,229,109,228,821,402,603,
601,720,626,839,183,190,004,395,575,712,254,248,915,061,807,104,663,709,716,
499,238,995,826,476,571,816,903,900,913,095,474,753,704,953,831,065,444,515,
254,437,276,692,545,074,031,565,933,291,625,051,271,604,227,553,580,074,259,
783,890,565,401,982,492,719,946,790,076,864,567,112,044,160,635,423,842,699,
701,320,218,264,837,322,509,812,264,418,969,371,301,456,981,211,908,432,260,
989,907,843,138,477,400,192,954,172,372,621,089,209,458,222,962,777,927,988,
013,862,445,277,062,842,198,728,881,393,019,364,653,517,629,123,617,015,593,
420,023,418,093,110,075,627,792,274,856,788,886,491,354,225,533,719,599,020,
455,945,954,758,767,121,418,370,297,316,507,563,439,677,318,222,543,863,967,
705,298,176,027,586,964,079,867,999,560,752,995,350,756,972,106,203,209,566,
230,125,967,841,803,495,710,249,914,809,815,277,166,228,463,069,410,196,406,
025,657,721,016,589,651,074,324,093,674,577,348,803,726,409,047,956,728,758,
769,590,657,090,158,289,629,759,213,963,417,889,062,820,669,609,465,697,541,
240,106,582,279,469,183,814,474,586,416,868,137,516,851,032,231,683,988,276,
522,303,354,925,080,148,330,767,706,189,579,495,464,082,920,626,298,134,199,
249,605,769,499,741,362,529,312,493,767,626,886,816,266,021,582,453,723,354,
657,939,138,917,044,144,039,351,114,973,341,497,241,622,205,334,683,004,843,
465,365,921,731,835,995,417,547,596,677,070,110,403,170,259,684,286,930,444,
122,377,226,486,936,184,970,607,800,598,549,888,383,121,287,688,920,321,653,
688,767,364,155,418,220,179,635,594,210,849,865,300,052,030,494,183,581,140,
462,714,134,681,087,364,723,687,987,945,836,578,170,089,763,343,953,543,813,
025,967,787,461,116,118,148,256,387,101,694,806,981,829,227,827,500,537,761,
446,845,494,317,960,356,847,454,306,802,696,196,057,093,591,025,638,529,188,
608,615,822,629,834,758,519,734,158,755,241,253,413,254,583,158,145,917,159,
713,426,313,938,245,977,624,073,730,647,108,230,924,753,626,304,527,475,748,
731,143,081,261,264,408,534,178,887,864,835,000,809,172,024,341,043,753,945,
022,365,314,163,826,646,409,658,134,522,793,259,361,349,554,995,345,652,812,
884,381,520,731,207,526,667,004,823,983,696,094,007,678,829,461,321,650,599,
596,619,766,692,934,488,005,620,016,151,141,652,033,053,209,900,633,319,628,
493,436,123,085,353,128,618,579,281,946,971,768,601,282,561,943,781,525,265,
561,230,013,060,983,155,937,163,367,434,203,919,361,611,331,279,490,286,846,
668,230,064,008,086,008,911,224,284,432,447,473,531,336,340,644,814,198,117,
768,952,072,851,116,952,567,933,943,958,463,219,474,746,212,217,897,986,849,
571,349,973,865,550,279,416,152,206,685,624,739,309,741,057,860,102,774,035,
017,226,103,467,140,929,106,018,574,883,087,011,675,746,731,048,015,118,951,
387,328,730,315,745,407,234,020,052,827,310,995,829,507,175,716,140,079,520,
259,533,845,111,943,906,885,024,084,316,440,096,038,954,759,210,615,243,776,
783,258,672,570,393,894,207,961,851,953,550,001,220,344,349,529,712,077,953,
139,392,185,835,419,336,881,485,990,051,890,217,907,132,010,308,176,796,168,
302,835,352,069,173,603,579,187,662,011,785,386,289,116,863,288,514,875,420,
473,738,430,702,735,070,882,326,990,879,621,051,915,942,327,666,051,265,375,
715,940,904,604,344,958,523,468,056,742,288,922,343,186,758,933,108,514,778,
800,089,235,539,257,222,751,994,668,888,653,390,518,244,144,355,935,399,042,
095,242,685,733,086,386,277,346,392,354,937,073,628,572,155,642,982,096,404,
603,124,753,019,338,714,443,013,043,898,829,374,385,778,435,306,191,353,911,
500,926,094,813,672,241,765,355,601,845,360,076,834,742,441,182,826,061,989,
527,580,906,748,400,102,968,905,278,992,144,631,718,238,211,124,701,084,087,
267,170,155,173,052,486,755,026,744,670,361,592,115,229,628,798,370,501,401,
643,612,010,403,432,464,746,871,921,793,536,800,997,316,680,665,561,851,428,
167,010,114,010,888,338,676,693,381,786,388,039,316,574,426,288,214,955,951,
291,013,951,890,894,443,526,833,149,307,482,415,007,387,803,961,384,891,922,
636,608,128,918,810,079,667,920,243,856,841,892,176,289,537,217,091,683,339,
423,329,063,180,636,739,241,069,814,270,160,829,299,499,543,937,310,388,141,
049,379,698,658,592,184,736,931,534,983,384,464,801,153,187,742,302,578,102,
527,422,637,887,731,436,388,084,234,305,539,684,979,880,343,130,911,523,779,
204,870,368,287,232,104,335,647,544,626,799,276,962,286,838,391,733,959,573,
528,236,553,563,344,877,925,887,530,481,071,948,917,406,963,656,030,394,952,
823,805,813,064,164,095,572,000,553,487,318,383,577,137,622,569,700,958,125,
376,546,322,520,847,369,356,667,214,998,456,351,318,120,376,920,243,596,114,
381,175,304,746,434,505,501,723,739,704,026,183,564,660,215,593,891,900,666,
585,568,033,379,856,165,549,710,811,075,520,450,978,461,246,618,023,167,177,
976,711,667,512,352,960,916,936,534,751,965,787,862,827,658,064,745,740,374,
139,078,155,681,278,925,403,720,540,015,220,021,160,187,183,947,077,622,006,
034,381,193,808,621,939,202,700,015,925,278,665,943,997,856,784,818,779,638,
490,038,867,514,950,318,739,758,479,031,653,379,943,847,517,183,311,242,870,
455,500,172,434,503,432,116,353,646,217,376,896,885,644,153,057,321,432,506,
844,173,642,931,735,274,595,124,096,036,556,252,650,945,327,841,310,274,300,
842,192,501,826,245,789,594,844,398,509,444,978,791,956,798,053,702,894,228,
968,035,420,821,152,778,805,280,059,253,729,647,429,543,310,916,539,846,481,
341,122,969,631,009,329,572,614,544,495,913,494,028,382,632,654,263,233,433,
049,481,366,923,368,721,043,111,896,828,744,310,458,839,066,489,141,428,767,
345,667,974,635,138,201,954,492,479,341,383,953,970,669,394,193,523,484,048,
819,040,924,819,135,878,710,748,893,072,852,154,433,252,228,059,697,922,700,
444,724,407,232,610,507,202,680,267,298,942,126,922,696,876,995,840,720,472,
975,507,604,718,208,086,183,665,476,716,633,121,420,323,426,785,902,557,002,
480,396,746,276,038,758,117,960,953,184,031,941,934,337,204,402,874,172,322,
877,123,274,947,461,027,211,114,139,000,698,268,870,854,256,392,249,624,003,
496,706,286,599,551,732,979,062,612,144,705,444,583,272,519,912,196,639,908,
893,574,211,960,619,582,188,019,527,683,883,653,402,242,618,660,400,965,360,
010,428,886,317,203,931,935,088,668,729,389,572,791,323,201,680,044,461,384,
759,251,133,403,068,988,178,735,486,200,842,766,336,590,552,216,557,525,357,
623,919,625,257,207,335,451,579,399,174,565,455,402,016,944,197,783,863,304,
935,402,110,685,601,154,613,855,830,438,480,420,156,235,048,850,064,828,190,
007,005,902,023,682,359,613,375,061,040,469,468,465,773,892,340,850,525,567,
037,314,713,866,025,238,195,037,352,700,901,538,675,146,046,303,093,823,402,
754,496,242,020,182,953,476,210,238,965,465,045,775,814,806,313,317,151,448,
573,162,471,491,977,412,285,757,457,671,873,344,691,972,792,578,281,799,335,
225,714,655,120,102,256,412,021,738,275,910,016,303,048,345,318,268,939,591,
828,960,706,837,512,554,795,696,921,114,769,467,251,804,592,224,121,587,505,
029,420,000,080,349,376,552,180,921,258,239,239,057,777,978,866,414,103,210,
823,887,773,303,314,702,994,373,041,897,713,557,759,389,696,312,626,863,550,
810,274,075,790,229,447,860,812,069,460,433,016,901,177,764,005,346,270,415,
016,881,101,787,361,762,862,999,065,100,275,053,954,583,617,767,495,344,801,
269,576,980,255,578,548,571,326,381,482,784,006,699,653,444,765,224,663,825,
008,995,790,230,055,358,621,396,685,074,029,071,987,339,978,528,706,928,461,
814,364,536,310,952,434,647,158,423,808,635,271,637,133,783,214,204,891,103,
625,127,346,356,906,984,344,922,562,524,319,407,615,726,689,536,744,106,015,
087,441,085,119,345,260,849,955,556,069,491,766,119,186,214,215,210,095,838,
523,344,137,157,581,728,387,527,043,787,722,408,490,799,233,649,060,808,827,
216,321,402,049,697,818,624,957,062,230,702,085,064,387,168,283,122,483,560,
156,523,308,465,768,192,429,917,033,465,904,773,590,452,364,603,733,090,850,
355,709,293,403,308,088,929,466,919,721,640,681,699,147,758,439,818,249,627,
059,408,492,023,967,663,521,521,774,796,225,855,596,310,782,851,870,658,590,
179,749,806,680,644,151,138,037,635,810,317,182,437,552,122,560,077,437,758,
927,282,720,852,481,724,954,425,160,166,098,909,277,706,718,433,867,961,464,
674,643,820,667,909,213,347,610,041,231,867,495,554,795,694,851,925,418,086,
705,376,293,147,353,171,716,124,683,868,698,497,302,761,433,308,320,885,146,
791,270,153,578,963,028,283,057,144,739,012,005,670,678,779,994,619,130,937,
656,031,865,627,077,688,828,280,166,146,914,345,754,557,150,737,051,593,536,
620,125,157,291,673,155,543,680,702,295,832,998,877,881,799,052,622,358,462,
238,029,546,699,677,517,357,361,078,273,784,250,012,475,076,850,483,025,799,
425,237,830,639,695,986,256,087,062,811,213,420,956,736,026,389,041,944,721,
958,289,956,688,091,572,826,126,055,536,524,593,619,280,219,109,375,740,762,
101,410,959,989,807,124,847,847,997,510,502,969,878,591,945,719,469,827,186,
339,376,851,813,425,952,658,550,242,580,119,414,653,602,238,844,954,598,536,
684,997,670,722,922,254,977,998,990,162,056,184,434,773,949,968,167,015,771,
228,798,333,590,249,385,504,322,520,292,019,517,903,067,699,071,959,777,557,
305,187,414,900,435,318,496,597,045,893,447,121,583,565,247,941,757,148,919,
738,387,271,961,895,974,093,634,208,565,995,798,227,711,400,510,895,648,987,
175,959,280,892,205,731,786,850,051,086,516,648,423,530,926,723,208,058,422,
613,551,575,390,418,771,603,093,364,376,538,446,358,350,036,313,114,068,675,
378,712,868,895,418,882,386,578,067,902,602,572,062,298,309,991,842,098,027,
401,787,946,784,796,817,383,900,915,995,106,222,098,190,679,861,914,989,025,
938,617,312,905,185,557,908,276,781,708,960,358,450,316,713,685,231,021,758,
038,215,692,502,076,849,192,027,631,520,768,726,419,444,180,803,567,037,850,
982,487,060,663,414,673,029,191,347,066,153,543,378,207,665,797,863,797,228,
605,422,257,814,236,211,428,781,679,523,254,065,620,461,600,465,983,787,695,
983,852,410,804,239,096,763,405,197,032,757,996,766,319,681,241,732,902,152,
127,986,797,147,160,661,027,853,023,156,771,299,304,856,782,029,725,074,793,
076,081,024,111,788,630,200,370,975,759,402,461,388,816,320,104,837,063,575,
278,134,533,039,844,872,117,027,305,283,605,055,469,128,554,815,285,189,186,
755,474,430,596,935,148,773,850,188,391,859,538,440,937,483,382,927,447,436,
918,182,899,123,703,724,308,553,021,982,729,911,376,623,895,666,280,960,657,
391,846,528,954,371,481,254,291,915,693,662,708,663,725,719,104,816,366,821,
329,151,183,793,766,260,369,422,352,110,920,353,833,655,422,428,125,817,507,
712,600,154,487,772,991,911,157,434,731,425,959,571,576,673,264,309,247,579,
486,026,853,378,051,570,694,234,471,643,787,493,337,059,170,428,369,045,072,
661,621,797,211,230,274,720,692,330,556,440,717,087,882,523,568,412,377,014,
591,921,916,248,720,446,177,897,221,886,700,628,425,492,732,847,245,730,869,
967,017,839,389,925,971,093,564,919,597,903,309,017,230,308,152,921,383,918,
262,595,213,891,704,414,580,464,751,232,816,353,498,911,855,868,943,792,371,
542,848,124,290,163,381,993,895,167,766,253,933,047,675,231,501,410,524,927,
542,613,447,221,638,985,678,041,813,121,233,848,480,416,691,004,136,128,320,
513,966,934,814,528,216,432,815,607,299,147,113,505,792,479,329,318,164,425,
979,273,253,667,555,221,992,971,944,376,898,499,017,726,744,223,979,674,075,
713,526,239,883,640,530,623,825,532,783,188,229,136,246,682,554,162,893,535,
454,682,903,808,389,002,418,457,146,371,932,414,590,199,193,445,984,054,418,
490,750,277,579,175,448,025,779,153,184,482,400,297,973,873,925,485,953,622,
029,885,313,913,582,081,689,927,610,405,668,622,726,288,685,987,505,574,950,
599,511,456,806,987,222,564,959,195,996,482,777,816,902,109,853,909,365,771,
466,526,921,879,503,729,312,841,600,194,168,092,234,619,308,643,094,906,729,
376,147,232,452,965,036,091,161,240,588,749,717,152,915,296,334,355,475,233,
071,929,353,114,005,543,907,583,016,447,095,602,434,850,726,435,764,696,025,
665,165,530,147,060,265,875,782,353,384,238,360,911,032,533,384,477,551,942,
880,704,876,841,080,364,125,640,106,561,347,010,350,889,127,768,969,791,854,
681,338,613,286,951,045,641,791,469,618,675,720,595,850,702,403,898,289,488,
650,339,478,287,078,497,088,059,719,606,060,564,040,940,104,952,888,220,713,
401,827,019,546,156,562,917,058,370,931,418,531,027,555,415,755,705,379,497,
599,783,900,756,307,561,160,105,164,819,577,233,038,921,691,634,332,950,915,
589,058,431,049,011,486,091,274,853,206,627,017,992,717,121,678,730,259,730,
506,140,264,316,470,092,264,372,423,793,187,971,953,688,237,116,044,812,713,
112,507,119,842,676,337,722,524,902,593,363,854,249,954,681,924,837,762,378,
896,621,906,902,569,117,388,852,443,311,439,181,290,522,966,232,841,511,257,
714,081,825,488,643,596,207,937,552,999,863,618,145,104,809,275,488,942,346,
804,799,635,876,996,176,358,515,331,407,424,770,489,607,667,836,077,814,631,
689,632,686,751,888,417,544,646,345,567,411,809,971,501,254,050,572,107,788,
232,575,316,686,843,847,509,250,644,860,128,430,447,098,223,538,573,244,314,
099,763,400,329,866,589,130,763,216,187,774,050,228,740,397,008,392,371,958,
487,328,550,786,760,110,273,319,641,140,789,545,531,509,405,765,442,346,565,
072,356,069,261,452,278,882,243,035,249,608,963,164,545,610,497,558,042,679,
077,064,273,694,490,037,071,581,699,828,772,904,279,739,252,723,597,750,272,
337,603,099,474,071,545,917,157,933,599,458,583,366,352,113,493,572,268,468,
185,226,453,151,779,546,171,790,780,144,063,294,318,892,153,340,174,883,721,
704,592,437,098,605,859,837,993,782,567,622,970,525,232,651,198,253,714,886,
763,040,720,888,216,942,544,559,555,657,806,167,651,743,167,049,949,623,879,
040,679,802,820,192,919,257,624,586,758,633,875,380,845,646,897,849,068,657,
308,058,481,311,367,040,358,024,602,357,762,904,634,202,637,810,008,288,224,
034,964,185,745,265,457,955,042,351,668,750,673,053,833,491,974,475,959,891,
261,541,454,070,021,352,722,772,156,154,306,847,305,595,367,956,927,900,323,
334,174,491,227,302,677,195,846,801,056,812,480,301,737,419,393,804,516,492,
315,507,928,204,604,441,566,865,893,779,798,945,426,843,409,745,417,555,831,
334,588,927,619,785,987,260,939,116,490,459,595,509,485,407,801,493,038,812,
588,232,377,807,500,811,544,441,827,894,717,907,189,273,007,027,769,016,347,
218,254,173,559,666,967,361,777,363,719,525,625,688,545,316,268,993,576,375,
785,132,170,819,796,752,091,797,085,163,820,135,947,471,306,646,733,845,983,
794,874,827,385,031,896,520,526,170,045,133,364,120,253,158,259,050,569,356,
350,515,284,844,435,736,737,632,987,664,913,213,968,419,949,573,618,813,546,
421,590,211,697,125,231,478,218,026,741,578,816,523,661,518,517,944,557,531,
227,437,929,301,750,869,805,170,570,054,611,359,216,742,175,124,208,481,143,
790,477,357,244,098,182,771,768,300,035,963,821,973,058,569,053,728,859,881,
670,999,658,828,419,424,242,427,637,494,610,741,093,101,225,901,766,793,615,
350,136,761,584,106,414,524,663,509,334,855,749,408,855,546,597,199,858,104,
400,414,509,138,589,046,679,203,424,319,340,713,308,571,585,702,975,043,505,
445,801,788,085,816,998,494,827,166,575,304,554,346,940,126,664,348,706,095,
095,603,121,709,882,629,617,542,271,286,678,678,754,383,890,613,359,420,493,
216,422,945,758,678,972,329,232,431,833,409,086,500,094,056,832,415,366,436,
098,402,008,588,162,358,397,433,157,674,724,603,235,027,721,345,061,574,398,
613,138,754,618,084,049,564,958,379,180,966,136,553,305,294,562,904,231,786,
429,674,146,224,041,958,925,770,853,680,435,806,711,019,652,572,375,290,485,
958,498,300,846,842,158,966,280,022,141,079,130,945,099,113,823,544,214,207,
081,192,020,261,189,564,138,465,184,035,280,905,551,470,477,586,938,165,425,
149,998,437,097,339,389,040,435,864,039,720,879,932,576,071,829,958,919,479,
086,212,015,856,198,387,951,006,890,722,919,432,036,115,203,443,881,334,929,
312,449,869,784,418,876,523,912,753,470,752,435,906,226,142,168,094,530,227,
990,705,867,847,338,636,982,229,870,795,257,858,366,420,493,837,180,698,298,
740,157,894,329,306,657,715,734,717,947,713,788,969,797,770,022,620,990,791,
648,737,279,858,472,361,193,226,381,346,607,041,985,683,518,314,065,043,167,
336,557,983,623,878,738,336,669,649,351,384,900,536,708,268,456,079,153,948,
583,145,626,055,685,774,312,166,735,410,345,379,080,083,162,248,314,129,335,
940,568,237,769,821,439,480,515,341,305,492,916,006,855,300,551,102,552,432,
153,629,713,645,553,745,199,608,734,397,793,367,306,368,522,334,915,637,395,
748,285,663,070,082,839,676,473,762,437,747,086,422,829,809,057,719,662,896,
155,760,355,269,432,015,518,844,580,766,384,675,998,806,498,630,177,034,546,
421,614,244,969,212,801,341,857,945,244,749,018,360,904,964,168,757,450,722,
485,089,882,060,503,026,343,001,633,238,389,447,275,221,752,825,763,856,993,
953,455,643,301,718,673,223,404,566,399,205,407,965,571,955,398,933,438,183,
696,432,304,053,682,317,746,818,328,843,037,959,631,456,249,354,751,332,508,
641,263,752,523,078,896,678,887,451,386,034,940,523,351,577,201,467,758,491,
006,517,689,965,665,355,879,181,431,091,183,661,462,336,110,227,228,853,735,
394,715,933,060,616,024,413,363,716,707,618,370,460,708,574,151,438,799,166,
752,699,369,212,996,023,467,152,717,301,241,110,400,862,461,268,021,570,174,
171,041,535,083,040,787,237,362,578,858,851,914,666,312,374,033,601,102,371,
983,356,819,279,022,104,640,919,535,472,249,879,767,781,497,126,758,358,566,
032,528,023,249,715,090,205,554,775,241,384,471,805,369,534,891,821,458,682,
609,200,663,988,909,903,376,944,174,028,664,984,271,259,904,389,176,315,077,
110,338,939,198,459,371,910,559,635,827,418,852,068,865,475,300,168,680,395,
965,491,563,021,421,961,376,298,062,376,443,502,910,759,371,493,867,295,352,
185,954,242,334,236,491,810,035,924,086,508,894,271,103,640,527,747,908,403,
587,064,883,177,286,699,633,201,572,756,397,143,699,212,520,099,877,516,047,
583,732,113,552,203,120,685,865,163,863,512,693,672,425,232,307,700,314,874,
497,177,148,190,609,585,991,122,252,958,182,945,650,376,552,721,275,683,058,
375,392,408,710,076,949,623,397,321,772,771,531,438,408,920,583,435,759,903,
166,222,864,407,705,362,785,226,906,368,080,438,948,444,176,818,611,389,465,
040,974,196,491,732,791,870,752,169,684,488,326,960,949,156,029,162,747,585,
516,792,600,584,272,878,487,412,314,520,546,492,507,994,680,536,347,688,762,
038,091,608,204,544,137,314,679,638,575,069,611,134,752,922,957,901,497,411,
644,219,912,905,627,036,598,494,399,963,988,957,084,875,805,918,984,890,576,
826,695,595,798,797,506,553,998,877,610,117,070,421,697,888,996,147,904,340,
704,845,501,994,727,262,753,162,765,522,591,867,530,610,723,292,498,728,247,
716,885,242,894,648,363,508,352,990,420,971,683,899,685,401,609,911,216,987,
151,103,366,904,714,410,494,389,785,406,994,272,530,544,546,703,424,184,593,
309,352,673,386,279,946,188,799,858,453,764,856,748,174,322,487,941,168,928,
429,730,209,283,395,989,836,559,899,431,444,963,824,454,013,399,131,867,941,
921,894,325,299,516,097,774,816,398,281,676,785,885,315,522,060,211,713,520,
828,765,810,163,717,544,337,686,865,134,931,825,627,733,774,121,548,457,001,
777,448,805,374,758,194,146,726,704,259,127,773,626,028,339,773,407,527,912,
676,700,338,631,036,988,670,084,433,230,217,938,124,314,756,572,542,112,525,
265,401,617,274,062,133,404,786,947,531,749,570,479,209,960,718,595,315,234,
323,989,923,981,848,800,966,505,849,801,477,674,904,262,058,318,396,787,949,
773,955,386,229,650,818,551,157,515,875,267,991,523,814,179,187,286,371,614,
569,284,711,048,132,013,784,524,195,233,469,504,433,370,032,761,650,915,338,
061,993,134,051,072,520,041,883,938,186,248,780,018,768,822,751,759,252,302,
155,111,700,039,549,044,403,829,588,545,332,765,567,014,185,090,961,904,035,
488,037,438,752,621,026,104,484,048,120,246,660,496,076,697,373,988,470,485,
902,684,913,429,642,994,298,104,435,767,268,346,954,131,981,717,690,865,281,
027,445,869,755,571,760,113,541,277,135,085,195,696,482,438,183,245,343,537,
892,177,226,288,723,815,420,616,088,750,187,699,243,452,929,009,520,773,895,
443,047,927,234,720,785,811,665,854,386,560,220,974,651,424,943,432,411,752,
482,555,800,831,847,196,495,174,999,004,622,177,720,451,624,971,352,408,769,
621,596,829,658,610,295,109,437,508,978,202,372,497,036,419,680,050,719,352,
136,742,728,076,229,267,987,317,197,210,098,984,473,235,883,721,316,711,185,
028,694,363,955,089,393,669,459,861,545,223,557,332,335,184,847,823,321,876,
553,928,652,182,538,526,862,986,648,782,536,590,143,954,013,910,471,565,566,
790,731,651,386,855,786,250,101,780,214,375,475,537,396,248,638,862,361,714,
239,409,253,970,239,157,975,701,482,193,006,787,513,587,179,499,876,179,244,
512,595,940,988,916,269,006,641,824,895,443,268,285,981,521,238,997,156,696,
225,853,636,619,045,011,964,916,451,163,443,946,000,320,755,824,201,127,652,
050,727,797,519,338,343,395,345,440,601,856,324,904,003,207,668,681,043,619,
954,813,208,483,650,356,813,472,018,822,263,883,166,055,187,281,263,875,252,
900,797,001,536,768,909,268,069,523,916,810,549,972,977,512,039,914,296,664,
175,456,506,059,008,873,478,079,332,422,676,679,434,620,344,952,425,029,781,
380,862,698,757,555,645,180,305,844,515,140,457,433,535,153,838,326,845,299,
531,228,896,470,134,863,538,850,977,662,956,310,431,892,740,059,619,953,334,
573,126,095,117,023,385,706,052,495,946,022,600,528,923,871,289,585,449,376,
441,433,209,378,881,497,964,859,110,654,555,734,208,669,930,995,578,966,259,
362,385,611,691,746,222,750,898,423,885,117,152,322,700,906,778,675,681,493,
172,552,446,728,800,203,055,419,565,214,132,733,690,028,072,317,546,185,127,
360,337,268,212,704,820,182,401,391,946,814,483,995,524,689,644,518,092,378,
481,435,946,440,209,132,437,887,486,211,214,124,085,400,199,749,711,567,061,
898,699,491,064,142,227,979,056,551,311,041,770,949,729,760,385,102,350,488,
000,805,572,052,422,786,581,356,481,631,217,164,486,583,659,403,896,200,003,
366,211,532,048,014,387,450,874,929,738,000,720,889,589,543,328,928,348,324,
080,476,683,624,962,556,805,863,271,261,707,568,494,130,702,743,248,437,672,
912,404,252,211,757,451,512,659,910,822,035,384,345,456,189,468,178,721,574,
657,771,868,438,918,771,227,115,967,353,767,553,545,507,644,569,981,794,914,
282,001,041,933,728,232,566,048,003,485,543,884,954,462,766,394,053,413,983,
737,777,591,328,314,892,944,461,115,056,685,493,465,219,417,988,066,780,656,
025,798,638,589,691,981,637,452,999,546,567,237,466,651,106,210,997,286,289,
277,344,329,759,387,277,595,161,077,471,086,324,325,021,553,608,322,936,375,
513,184,162,725,878,946,226,172,170,524,792,528,448,444,898,797,383,830,366,
467,098,648,152,762,603,932,772,464,620,011,594,890,938,538,117,047,839,934,
395,516,766,599,327,468,721,422,442,275,549,036,561,144,637,027,047,596,052,
386,119,525,826,971,988,630,508,758,091,190,978,132,387,540,959,274,286,194,
786,310,040,546,002,801,554,720,016,671,713,626,379,330,057,294,531,869,638,
407,341,085,932,881,141,376,685,894,720,906,956,046,901,477,029,032,923,382,
068,677,002,140,991,667,457,489,482,641,721,479,321,453,308,944,635,187,298,
085,332,109,324,162,975,361,397,355,371,867,072,086,786,664,659,744,317,101,
981,436,433,067,625,102,482,728,073,718,295,328,527,071,655,654,854,477,421,
376,169,812,950,185,169,418,235,214,752,088,337,497,819,942,791,785,957,154,
276,503,029,791,173,940,635,857,485,679,895,652,440,687,003,772,488,335,072,
880,294,685,903,598,624,787,636,046,121,305,132,485,378,147,297,320,106,140,
939,626,438,730,336,065,792,324,157,638,922,134,029,161,573,971,565,450,648,
457,705,662,615,409,417,233,582,116,342,706,150,995,752,048,542,633,798,682,
845,096,615,432,441,221,622,224,398,330,673,226,766,891,868,985,174,906,696,
515,000,763,274,311,167,061,515,336,273,451,739,612,644,775,552,377,551,027,
438,070,703,344,931,191,766,669,125,804,288,575,730,662,559,906,180,936,342,
406,405,152,122,028,212,222,373,293,283,899,365,848,826,503,236,857,143,180,
676,658,650,089,557,528,815,558,440,054,875,168,709,033,164,309,187,546,522,
248,078,250,080,409,390,122,354,875,743,274,772,760,000,485,406,823,384,592,
085,918,865,959,829,777,728,765,362,136,977,422,755,063,775,940,848,911,262,
931,466,674,339,375,514,952,417,723,029,173,481,222,996,731,678,462,835,727,
688,881,636,725,749,894,482,804,348,211,589,976,444,659,140,783,057,064,975,
490,944,895,078,637,004,797,921,387,737,958,547,999,038,962,037,215,192,673,
876,470,503,313,878,023,958,650,826,513,509,532,832,002,573,490,805,676,661,
006,279,090,486,054,042,710,876,567,774,168,194,013,488,124,457,059,420,798,
303,904,351,700,497,510,167,717,840,042,281,460,656,109,041,790,809,513,673,
003,374,323,055,907,979,217,914,390,632,733,842,296,792,050,776,331,314,964,
858,314,399,446,161,620,264,194,623,396,493,548,902,629,804,399,531,709,992,
129,232,940,175,405,210,193,965,972,546,427,031,301,433,183,942,613,469,343,
718,446,350,103,278,641,862,856,535,182,380,207,524,871,371,258,166,822,712,
617,824,477,179,397,701,991,545,179,983,475,725,571,051,587,630,746,398,898,
917,809,963,999,560,776,733,610,789,910,010,349,527,769,557,441,113,842,351,
917,103,551,495,518,434,586,743,256,932,806,629,284,833,167,905,516,695,665,
538,097,052,482,067,400,698,267,704,741,363,458,953,254,119,863,496,500,571,
572,199,044,224,557,884,693,109,218,456,707,442,023,131,546,258,918,802,083,
498,909,673,254,777,503,552,671,251,580,155,390,343,609,852,605,361,234,623,
467,716,071,596,158,444,045,395,164,340,926,647,870,527,293,792,061,208,113,
499,507,768,063,806,634,899,809,671,872,620,125,705,147,233,702,022,353,973,
377,486,086,963,832,628,340,402,445,203,377,428,615,272,699,193,836,303,848,
705,519,375,322,965,348,483,180,810,113,309,053,051,122,383,822,377,068,639,
503,844,931,275,676,317,868,924,321,686,220,992,221,019,190,244,459,636,017,
846,248,222,820,721,967,883,225,689,186,025,732,966,652,174,670,472,116,060,
071,713,763,760,633,224,575,121,160,460,915,548,397,590,733,454,679,531,022,
353,404,220,840,354,216,319,788,090,923,157,517,012,582,256,201,977,785,072,
814,505,716,938,222,899,771,241,885,521,258,141,469,890,914,358,751,298,484,
329,357,171,915,311,992,110,769,909,554,576,574,802,204,196,660,845,484,606,
038,737,115,279,298,286,870,084,329,603,279,182,013,962,041,785,577,472,311,
868,019,391,748,288,335,845,460,512,395,297,473,607,736,399,952,639,359,664,
946,043,205,337,655,616,789,945,974,305,888,924,828,277,736,339,225,227,019,
370,246,774,753,083,042,769,439,365,875,105,327,654,642,617,033,434,221,735,
942,605,571,893,437,352,825,276,649,897,789,523,946,758,796,018,136,838,433,
183,364,774,259,327,261,967,480,217,096,486,014,520,906,192,448,504,903,632,
341,245,190,033,923,610,767,582,250,587,843,503,476,096,752,784,524,321,314,
213,554,044,860,336,215,967,823,801,468,323,800,353,940,108,200,077,700,771,
928,269,379,393,260,325,685,831,520,817,828,397,025,129,776,890,018,975,760,
153,921,007,001,356,301,747,628,985,409,268,166,914,962,126,395,771,849,737,
701,072,620,778,146,518,913,455,956,020,608,314,888,481,834,561,634,927,554,
569,627,255,753,227,372,270,632,010,569,899,105,630,832,243,679,878,718,894,
507,942,150,381,530,215,478,020,135,953,184,840,361,060,317,525,232,938,887,
103,713,822,627,297,132,665,427,042,806,648,277,930,715,964,705,137,650,038,
905,113,405,442,874,898,776,390,374,279,335,518,962,083,514,726,508,825,722,
560,339,312,771,857,034,270,112,115,809,717,996,558,924,063,980,057,663,262,
720,379,299,233,164,015,650,482,205,943,745,064,967,013,488,432,230,213,320,
831,190,548,897,781,700,232,238,901,816,357,585,275,838,755,171,768,460,343,
709,784,260,035,160,547,054,626,586,481,887,107,214,989,874,705,244,483,985,
661,836,118,856,037,811,361,308,977,431,312,607,208,118,917,950,854,477,479,
374,820,532,085,685,901,123,421,590,452,427,001,091,977,371,636,726,826,488,
682,361,069,313,580,698,540,729,640,896,392,447,620,078,426,888,425,376,164,
921,957,277,677,177,872,132,323,812,456,296,730,626,040,109,406,549,469,703,
619,992,050,541,807,537,766,245,851,477,223,235,254,035,276,454,983,978,469,
801,551,829,839,636,877,642,258,611,487,952,868,995,546,662,022,418,047,878,
964,164,048,624,333,052,670,507,680,989,715,749,933,715,145,544,786,975,407,
829,536,157,293,662,976,493,759,950,397,187,902,825,578,881,894,087,664,391,
805,662,438,299,909,439,769,765,550,807,436,942,689,838,609,356,133,808,913,
205,223,379,346,176,125,811,427,475,632,289,545,985,478,841,763,130,768,341,
337,346,139,864,175,319,718,550,897,187,209,424,863,465,220,569,810,326,100,
395,716,155,938,793,199,317,404,896,327,090,712,545,047,551,224,150,735,812,
866,109,118,346,937,318,749,633,368,255,288,555,626,963,267,688,062,558,637,
122,469,475,734,728,149,231,741,739,766,556,365,330,304,020,209,744,173,301,
369,528,211,955,976,305,879,399,224,547,682,974,559,178,441,811,480,074,288,
405,189,300,386,002,826,166,571,120,123,077,454,113,026,350,505,398,019,479,
385,439,577,769,178,789,452,033,412,230,181,812,011,171,700,343,510,701,705,
405,803,243,921,547,234,395,829,883,716,474,968,127,339,088,821,931,799,000,
808,119,531,705,915,103,450,562,947,513,068,662,133,938,345,234,235,385,427,
415,033,524,069,580,606,663,212,101,202,201,207,669,555,884,064,606,861,630,
900,514,939,490,046,458,969,629,635,146,240,616,217,858,176,584,912,575,944,
828,085,864,170,683,393,019,970,662,102,463,308,757,230,742,803,340,341,383,
313,468,305,415,764,478,626,512,308,586,732,992,749,022,158,238,253,650,582,
444,686,186,212,331,016,424,764,701,700,351,889,522,435,369,060,375,980,098,
745,709,422,574,657,640,203,252,423,070,106,464,162,296,192,205,283,687,248,
386,154,841,867,782,570,898,003,702,616,589,022,286,857,006,383,628,675,460,
092,907,078,419,305,571,430,486,723,950,315,919,172,236,059,441,773,865,860,
198,247,057,222,863,248,026,471,030,571,131,290,310,711,061,743,401,368,909,
697,178,411,579,847,738,324,941,042,999,356,522,204,276,941,039,768,071,906,
398,078,216,250,063,501,622,616,671,651,279,228,935,377,923,401,214,975,564,
657,440,165,490,425,451,714,487,209,401,910,243,201,825,697,846,887,820,285,
273,833,381,278,098,871,983,162,237,413,684,057,330,778,036,008,320,587,799,
007,509,636,274,969,585,225,121,156,569,100,204,179,924,816,416,994,573,524,
606,580,562,790,704,061,307,906,241,169,206,097,762,136,730,100,039,607,580,
314,168,305,031,498,202,569,252,858,132,485,555,052,985,450,708,921,589,897,
993,658,735,588,518,659,195,012,708,466,767,470,824,526,305,303,752,026,542,
512,443,949,808,205,637,867,141,422,826,027,014,318,042,204,652,185,573,933,
000,463,599,761,979,902,547,143,331,366,546,438,546,114,199,393,483,341,989,
832,816,102,480,298,589,640,688,234,844,528,387,432,857,789,686,904,111,682,
806,971,484,198,667,446,706,024,284,770,259,728,126,136,118,179,945,456,963,
716,209,369,792,203,548,960,888,394,796,329,567,912,485,736,615,933,816,178,
797,068,328,463,313,643,672,295,689,156,713,836,243,581,083,345,262,856,976,
720,161,418,487,838,496,779,933,829,052,362,401,809,947,115,044,633,250,421,
472,681,084,520,035,551,520,770,208,904,948,618,997,250,875,298,000,355,289,
209,860,826,476,770,161,874,720,947,237,257,104,941,800,987,014,059,045,310,
600,768,155,262,579,943,521,601,320,621,524,009,755,574,925,148,214,151,033,
658,313,578,695,442,448,751,428,368,174,872,628,157,958,025,697,927,694,930,
284,198,018,094,978,848,821,191,307,027,673,004,124,959,760,875,230,846,257,
072,153,671,979,930,612,596,260,328,045,971,810,499,258,046,258,113,276,879,
748,938,208,920,520,870,113,343,324,802,413,978,726,101,841,911,556,141,064,
381,933,958,739,505,605,412,332,949,927,489,490,370,938,491,474,545,731,702,
937,705,235,732,724,837,317,022,308,363,766,958,320,290,902,636,257,644,086,
062,221,379,005,571,917,754,531,531,393,232,715,688,201,102,130,896,742,303,
798,880,889,327,268,236,000,627,227,417,636,860,839,636,740,344,666,908,449,
591,966,549,426,302,900,740,705,084,035,288,636,629,017,798,462,911,530,639,
003,876,705,427,183,754,582,903,272,878,082,953,061,157,795,807,650,079,371,
075,408,422,629,587,327,749,783,784,830,930,029,537,728,031,390,297,428,391,
315,854,496,778,181,676,677,424,136,004,585,574,826,334,321,994,572,301,593,
190,354,617,431,432,934,452,289,473,617,474,821,541,107,701,685,050,429,012,
496,266,989,369,000,933,744,431,838,576,499,452,916,781,560,638,809,932,966,
060,226,634,197,551,786,079,953,624,866,205,135,913,174,459,797,624,518,727,
244,118,611,102,877,350,225,712,988,942,841,499,937,077,497,811,328,410,188,
721,401,353,236,328,333,753,242,509,732,473,897,602,087,223,397,868,105,488,
087,415,357,648,511,098,464,456,046,071,662,992,162,205,342,936,322,142,127,
668,405,829,108,290,934,291,667,124,164,225,050,663,512,846,418,530,247,544,
763,707,711,361,743,852,934,000,083,918,243,077,930,138,158,144,209,266,618,
315,948,726,621,019,897,377,305,452,709,162,071,968,481,213,247,457,011,356,
120,690,846,007,761,347,339,300,427,581,099,463,318,860,913,598,151,482,081,
255,337,967,116,179,075,754,101,665,617,378,667,590,044,650,036,912,576,428,
767,443,873,546,326,838,357,494,366,407,951,991,088,316,863,932,954,874,995,
978,624,306,379,500,506,227,268,830,851,516,836,236,497,357,952,835,440,560,
966,753,540,624,546,422,349,563,110,075,278,507,205,342,534,166,161,744,953,
158,977,881,422,652,965,039,616,033,094,143,688,108,188,350,311,830,508,975,
036,732,314,483,746,132,441,291,253,351,971,239,785,918,454,176,642,658,740,
179,980,551,316,591,748,626,342,783,635,339,033,598,504,187,920,951,019,866,
769,921,470,564,528,687,397,969,036,738,470,052,195,700,326,959,085,106,002,
885,617,772,210,579,355,325,104,150,102,301,424,652,364,978,598,449,539,738,
021,999,931,964,557,644,083,958,294,751,545,670,676,419,720,325,776,706,764,
049,890,516,782,484,506,541,702,488,001,977,473,585,810,360,040,766,378,698,
176,426,086,085,072,238,658,504,492,806,047,950,940,425,616,411,078,742,789,
931,236,370,012,319,513,929,238,556,663,941,553,952,872,618,167,406,119,983,
559,573,353,536,230,057,481,470,288,590,698,031,881,758,244,558,960,549,644,
735,113,414,625,665,337,945,108,042,678,550,058,841,680,572,100,514,062,980,
018,019,363,477,205,907,867,208,999,765,712,473,750,588,364,346,500,322,798,
474,418,085,675,523,106,567,801,547,921,247,428,964,840,808,023,106,499,732,
350,049,921,691,887,554,404,147,633,327,816,696,261,391,639,356,610,731,802,
890,367,878,900,449,698,196,963,771,249,921,294,175,547,842,429,981,438,825,
725,898,583,438,361,633,572,171,630,976,293,409,744,001,240,515,195,693,642,
483,740,786,330,508,548,431,815,482,095,997,965,172,882,489,292,798,576,636,
709,365,585,066,270,353,140,768,247,164,115,899,744,670,593,926,840,762,593,
515,498,165,734,344,597,761,075,595,054,717,581,189,399,578,225,953,980,935,
722,251,574,576,299,284,642,490,776,846,776,893,984,204,136,886,704,107,309,
878,465,773,540,957,716,105,246,906,548,855,045,567,803,601,432,966,171,448,
900,609,041,589,223,516,501,203,078,196,745,868,913,545,399,106,579,163,110,
180,765,359,459,735,944,522,287,494,853,888,942,460,231,262,908,825,733,334,
463,995,260,592,816,760,359,087,625,110,289,126,937,212,817,823,655,739,528,
351,758,281,781,490,490,984,405,957,316,636,710,042,543,006,059,327,754,693,
042,338,190,783,757,533,841,853,126,627,239,306,053,125,660,105,039,704,373,
699,989,314,962,890,310,842,388,362,590,711,812,869,996,377,056,557,866,097,
763,245,353,034,612,224,870,860,586,494,941,392,935,434,138,436,213,427,243,
621,269,606,176,417,692,781,105,308,845,189,070,511,095,106,911,450,269,784,
829,969,445,730,030,533,940,242,023,545,993,012,059,509,775,119,429,064,489,
377,918,074,230,029,059,411,579,425,513,353,279,425,368,229,562,703,720,488,
410,599,452,748,727,382,643,194,862,178,704,594,435,383,116,949,620,539,253,
697,203,952,558,901,167,263,654,419,068,047,781,491,324,409,553,048,561,572,
346,632,529,241,759,755,078,825,290,275,755,429,529,324,350,163,759,036,202,
273,324,338,299,560,513,643,937,326,687,413,485,225,528,650,979,984,618,002,
604,332,132,292,573,452,222,472,876,223,564,173,900,070,402,561,869,862,930,
183,216,441,619,470,387,883,890,689,630,949,323,949,727,520,449,290,850,701,
880,084,397,666,663,326,337,248,261,195,304,508,667,011,967,482,290,768,367,
317,417,309,329,134,789,312,629,952,867,311,865,250,845,324,378,936,457,310,
354,997,729,370,501,944,553,968,505,188,204,320,330,285,836,911,544,239,615,
869,748,842,956,200,186,981,440,644,084,166,103,101,527,012,978,003,220,864,
328,612,412,263,193,190,023,302,474,538,514,203,801,645,839,638,423,688,853,
492,693,937,575,121,904,336,557,736,292,427,699,936,075,279,871,862,218,102,
180,000,645,179,998,646,534,034,188,381,019,977,783,881,230,898,362,162,403,
261,313,105,057,099,395,486,276,292,733,286,851,775,553,112,897,714,644,321,
191,592,078,471,017,530,851,278,689,356,890,572,074,780,015,412,556,627,485,
687,392,204,323,842,530,790,548,913,871,812,016,365,934,561,455,294,743,382,
165,304,371,808,359,268,784,818,463,083,262,294,417,810,137,632,800,434,294,
652,620,977,107,150,505,998,063,867,008,976,613,166,775,439,611,919,497,810,
094,213,548,072,354,712,613,436,282,368,034,177,409,613,943,586,253,840,372,
873,153,171,582,998,748,547,153,072,277,338,249,449,287,185,635,091,051,322,
989,909,438,048,081,886,168,076,824,625,200,686,964,254,800,914,273,053,736,
773,783,368,116,217,489,051,460,656,977,205,870,565,024,415,331,209,255,437,
471,134,496,439,227,008,542,653,654,294,485,104,594,022,216,676,379,603,947,
343,768,350,568,439,033,117,997,684,396,963,656,784,999,848,765,378,429,722,
872,611,827,380,315,396,153,337,498,840,516,444,352,527,147,868,657,340,947,
414,645,487,662,246,479,769,972,637,019,926,660,175,985,655,529,046,326,669,
501,025,092,741,553,042,921,898,758,280,922,632,087,773,688,485,110,465,782,
257,904,427,265,976,159,769,402,942,826,835,998,068,460,961,836,946,785,549,
965,391,449,826,155,284,617,301,185,519,439,610,988,874,928,306,466,895,036,
779,766,550,408,695,745,429,898,964,266,173,911,169,988,064,673,148,101,818,
746,530,489,510,844,709,155,322,605,070,764,627,493,849,393,522,688,110,007,
442,309,522,567,860,394,694,970,830,269,287,452,764,667,225,671,442,516,081,
769,489,015,451,398,740,870,693,435,800,353,555,381,586,813,882,477,945,686,
656,335,878,825,238,758,511,566,600,068,975,102,286,113,057,512,382,206,633,
766,917,886,850,709,381,016,763,260,126,481,431,450,353,516,467,585,130,883,
857,233,892,068,742,806,294,023,173,380,835,590,188,335,097,840,512,867,200,
131,115,892,493,423,828,299,407,584,183,581,281,213,071,817,908,828,750,526,
414,802,033,457,396,396,680,929,244,845,784,114,714,882,537,162,354,897,878,
638,782,819,728,870,941,815,302,884,139,580,621,645,593,772,539,664,150,983,
169,946,086,349,468,082,095,651,440,115,213,855,410,941,468,778,358,620,537,
536,241,029,580,534,348,919,386,400,264,322,804,867,092,101,719,081,777,881,
278,653,461,638,654,288,378,649,597,792,612,415,839,119,157,004,041,738,382,
043,721,982,736,147,758,209,821,748,863,144,092,579,817,440,917,733,849,186,
443,701,357,278,819,826,418,183,094,151,530,574,457,751,958,705,079,121,731,
424,564,574,537,989,448,116,058,000,256,490,922,103,077,234,741,003,462,548,
384,954,778,957,509,968,378,476,841,264,425,030,214,888,917,013,955,808,275,
734,577,457,982,596,064,015,811,044,734,092,332,884,657,172,088,038,056,108,
219,705,213,036,000,885,214,816,715,557,982,267,772,728,480,599,449,306,055,
557,667,414,071,439,926,452,777,575,674,216,139,059,945,355,330,745,448,280,
832,383,631,831,790,876,316,698,947,750,151,022,035,006,579,169,001,832,543,
051,375,785,117,652,668,004,517,141,508,261,385,075,142,049,765,918,795,370,
060,390,682,141,812,291,252,934,565,096,814,233,884,140,034,039,466,651,230,
340,888,448,555,265,975,523,853,969,546,591,130,131,060,854,363,844,238,438,
423,538,779,970,291,833,572,536,490,537,306,054,382,567,765,144,211,430,312,
207,653,814,585,315,418,088,906,309,892,237,848,848,515,560,490,949,339,811,
024,457,865,165,632,951,328,353,071,475,993,830,737,940,538,625,350,967,394,
439,766,427,824,673,359,692,145,422,482,718,294,168,226,899,192,755,728,149,
635,080,002,565,022,483,224,943,383,637,775,980,630,367,518,847,217,334,195,
262,544,388,244,028,333,092,513,018,015,138,420,146,410,580,756,062,659,588,
247,450,437,416,841,373,090,855,159,410,873,823,014,074,314,496,979,280,248,
505,225,746,703,934,975,766,782,692,980,190,651,076,938,623,735,809,951,735,
891,522,194,889,530,576,471,929,732,398,650,151,855,545,135,267,602,294,400,
300,072,895,142,585,949,206,830,393,941,940,861,330,460,109,263,854,761,684,
998,890,144,636,517,062,125,002,938,688,580,121,530,235,455,623,406,714,892,
591,496,570,989,176,261,242,528,532,204,247,031,911,279,151,047,884,856,086,
768,706,468,517,333,474,125,101,556,356,289,104,521,502,357,752,591,121,453,
440,569,952,481,745,704,210,618,022,589,633,408,720,128,276,650,155,452,985,
792,876,688,097,996,931,825,009,357,242,798,484,646,920,983,531,952,592,366,
969,015,502,917,332,389,699,567,749,540,539,520,176,405,626,655,988,475,195,
840,774,741,662,486,987,123,550,298,142,682,979,246,160,629,398,147,669,411,
826,718,941,106,733,437,950,043,633,406,342,726,528,902,508,458,469,839,839,
332,286,715,969,279,589,418,388,714,721,785,165,653,756,261,586,943,891,614,
808,978,959,101,639,375,688,829,092,173,454,753,734,349,263,153,793,565,425,
981,438,601,785,602,051,047,943,442,188,409,020,671,223,784,843,430,807,728,
459,336,777,661,737,120,702,004,710,756,575,934,358,976,103,139,420,639,052,
353,011,524,691,797,107,862,221,655,105,523,032,373,989,264,770,870,109,702,
871,729,819,345,166,067,178,316,380,413,247,086,588,669,139,756,758,804,082,
983,232,821,706,811,011,484,725,715,616,948,331,836,449,600,878,453,909,288,
270,833,215,103,528,768,967,492,059,857,472,153,424,339,834,423,909,231,189,
356,218,483,678,674,094,821,064,713,415,463,111,782,237,189,547,703,254,393,
205,958,195,799,799,315,491,120,450,452,608,832,769,400,088,247,744,691,930,
903,083,201,297,044,868,269,001,287,234,333,559,257,295,803,617,275,463,850,
965,076,890,446,932,483,559,210,829,193,414,149,974,707,387,447,068,740,961,
703,963,669,335,259,673,919,324,338,299,864,235,798,320,991,554,016,293,113,
753,856,003,706,328,050,652,061,620,524,792,147,983,834,570,978,315,635,672,
629,076,571,907,244,914,725,724,679,666,953,457,060,788,793,320,737,887,014,
226,794,522,010,891,159,803,138,764,847,370,401,439,920,400,632,006,571,494,
385,778,789,465,263,387,676,616,456,186,861,449,275,386,080,362,023,162,764,
776,036,078,745,935,340,210,126,727,451,064,687,947,764,083,245,966,742,128,
570,758,945,871,333,178,135,876,429,021,019,746,111,186,358,820,280,451,789,
825,682,780,081,099,087,344,838,049,506,832,127,880,872,124,464,934,013,550,
734,708,549,401,730,145,558,725,309,680,608,821,111,654,793,454,236,816,155,
149,675,270,011,427,993,913,485,786,204,057,091,418,993,409,168,666,983,740,
914,627,117,203,242,777,510,991,506,757,241,065,776,533,901,396,951,369,880,
368,187,428,034,133,952,004,432,149,761,483,891,508,394,344,407,473,674,705,
611,001,219,497,287,570,713,358,319,916,176,378,454,880,381,386,387,101,779,
315,941,503,599,261,363,558,978,244,574,043,973,672,539,664,985,723,273,721,
150,316,171,294,625,788,981,204,636,886,908,715,571,180,058,197,025,129,347,
910,496,457,612,208,716,907,368,322,649,076,079,927,596,001,255,456,258,956,
345,893,502,273,401,471,249,301,038,041,964,146,163,809,269,961,931,869,810,
448,368,231,181,823,129,986,043,943,887,833,601,781,652,438,204,180,966,638,
005,366,216,590,770,840,222,963,818,317,942,187,791,121,480,266,881,802,399,
888,546,340,787,845,159,504,360,429,582,972,695,481,212,183,343,255,504,247,
297,696,013,139,057,199,645,607,484,191,973,145,517,531,135,743,355,525,775,
296,985,205,003,239,186,551,339,776,821,758,714,566,715,635,168,843,028,861,
553,337,146,123,919,093,444,363,632,202,512,886,683,227,830,130,910,042,544,
266,827,572,304,148,237,477,422,148,546,768,135,320,615,608,997,124,911,054,
679,841,927,321,054,308,414,412,185,105,705,090,028,198,193,918,852,676,672,
836,381,228,096,043,878,953,825,198,597,900,500,203,029,455,562,549,812,026,
774,083,224,249,941,237,133,129,185,985,975,415,142,853,088,013,125,688,221,
675,264,377,374,851,913,760,991,553,256,969,509,877,541,594,698,462,834,336,
718,632,209,416,724,524,631,393,253,079,081,804,740,259,542,034,947,742,400,
998,670,278,069,352,798,765,766,416,080,270,517,987,628,144,706,374,432,104,
179,973,089,110,326,618,949,854,353,061,086,255,148,071,918,502,241,334,268,
074,490,125,212,301,123,515,547,306,785,245,622,698,608,921,775,693,251,407,
160,490,426,196,106,629,439,553,340,274,852,590,797,468,762,057,125,075,302,
374,277,230,675,918,239,330,976,810,954,947,403,976,933,275,717,751,665,865,
499,234,766,387,715,278,486,221,361,413,722,817,705,602,777,681,273,294,178,
986,391,854,283,664,739,590,401,061,941,043,609,532,463,737,715,102,895,218,
642,344,682,267,501,034,047,518,774,183,466,010,929,769,554,838,308,273,257,
825,311,539,235,345,322,875,699,592,001,432,859,950,706,203,469,361,795,478,
704,773,405,001,469,116,655,943,445,540,097,822,741,826,821,397,016,053,073,
122,305,142,995,376,434,548,609,167,348,097,733,216,055,955,486,972,238,970,
848,347,000,502,285,090,689,760,602,245,072,674,152,646,325,487,608,069,820,
278,227,128,564,702,329,893,560,027,114,809,019,512,534,145,529,779,097,672,
379,512,280,378,379,938,940,678,275,500,349,629,369,403,446,783,395,431,648,
964,269,218,068,742,792,639,101,552,017,302,299,608,195,784,287,977,312,958,
876,929,175,501,858,921,900,622,063,431,826,707,235,990,219,988,805,838,063,
051,560,888,215,047,366,508,436,169,002,902,962,663,417,619,418,801,353,321,
254,858,901,313,827,560,392,283,003,760,262,002,005,512,594,195,795,120,502,
879,598,735,239,532,400,816,980,254,362,592,884,242,203,507,950,611,337,679,
003,831,425,073,242,379,262,079,587,733,153,859,728,122,193,133,154,205,209,
942,211,652,165,540,441,364,146,987,598,349,989,732,964,442,750,941,333,313,
076,068,167,748,900,009,308,630,318,563,187,195,216,888,414,759,875,086,973,
490,698,599,112,665,532,026,318,862,003,654,420,482,939,779,204,131,623,646,
624,798,910,144,209,733,794,688,033,036,999,337,613,522,250,332,146,201,779,
912,442,268,308,812,470,649,029,264,152,468,934,253,028,007,045,664,331,597,
613,457,963,419,785,590,635,119,898,370,964,963,419,799,920,512,862,777,873,
997,952,816,863,609,798,545,075,956,371,333,649,279,358,139,752,038,066,859,
908,304,066,801,059,172,305,356,438,803,413,878,829,701,274,910,903,507,364,
265,500,486,771,969,503,364,225,830,119,786,764,362,399,775,027,730,413,558,
275,700,947,940,016,748,712,737,245,635,631,830,388,623,751,178,152,539,230,
347,572,951,881,315,976,710,318,826,617,644,972,543,411,205,583,468,730,254,
038,307,740,922,247,798,311,911,607,946,903,491,728,151,415,831,171,083,253,
356,596,223,704,029,002,904,759,816,197,398,511,895,049,156,900,929,631,129,
965,039,085,891,848,125,579,689,299,291,181,622,367,772,197,783,988,006,601,
014,923,697,984,111,279,160,824,802,831,027,537,089,035,774,013,644,101,055,
479,050,149,333,958,718,571,922,024,042,886,174,804,101,610,746,738,493,052,
187,689,338,830,670,137,617,558,977,391,517,597,278,344,118,461,799,198,182,
842,874,255,646,012,055,542,580,388,568,911,865,245,126,484,395,073,425,427,
997,462,674,060,274,148,880,645,135,668,501,766,428,212,129,111,153,066,650,
256,547,361,321,936,983,180,299,737,262,233,850,353,842,576,910,947,808,827,
262,297,979,738,571,878,420,153,316,395,755,700,854,759,617,989,581,718,392,
484,614,946,035,831,755,585,349,216,457,380,172,115,730,228,011,594,573,997,
924,462,521,965,352,268,942,281,499,029,140,102,673,921,348,924,072,025,674,
344,828,664,377,858,093,962,828,307,577,940,700,255,610,302,855,629,373,506,
699,848,051,209,935,785,395,869,706,739,242,676,766,820,134,102,455,565,009,
044,772,544,650,675,736,549,523,231,094,032,582,907,241,771,519,101,951,752,
430,890,844,910,324,812,290,527,066,499,544,592,067,295,504,340,029,719,706,
904,510,078,365,900,253,391,863,862,127,073,576,068,585,165,296,319,146,102,
064,380,502,595,975,445,897,477,773,973,388,853,285,987,214,735,231,717,941,
399,445,499,661,891,277,551,177,646,668,046,361,327,946,571,962,678,815,597,
212,434,878,069,691,537,180,933,500,799,271,055,438,642,254,075,439,702,874,
456,755,392,160,417,453,266,162,870,108,042,975,247,079,609,449,183,179,595,
245,353,348,375,595,288,703,408,620,139,623,262,329,087,877,777,098,045,689,
304,956,894,413,630,799,260,907,538,762,350,195,742,736,683,674,322,545,145,
380,900,371,395,828,841,179,645,866,281,886,406,990,917,625,817,630,384,181,
501,520,477,951,503,139,915,159,769,093,750,871,378,050,494,728,576,497,846,
271,869,562,132,153,325,286,457,660,538,881,290,651,948,318,564,141,512,076,
019,730,866,424,892,828,491,710,359,100,671,808,462,842,592,058,617,769,465,
257,891,366,875,682,663,924,029,452,917,008,237,992,381,072,067,438,739,737,
971,096,074,715,918,633,292,814,926,160,539,523,680,534,672,623,271,581,214,
301,856,225,452,845,084,945,438,259,649,487,744,654,490,620,503,263,463,809,
131,115,749,778,179,962,379,048,126,613,449,691,448,812,021,674,875,058,248,
944,499,230,200,505,173,412,530,986,869,140,065,127,327,456,398,163,389,567,
086,709,867,489,976,947,591,189,148,821,669,693,321,378,546,586,500,642,476,
928,517,079,450,619,075,103,493,988,572,730,608,793,233,402,085,178,416,505,
820,122,870,683,015,086,880,536,731,605,870,189,211,196,094,799,660,414,987,
193,040,608,632,355,836,414,837,776,530,709,648,658,914,118,886,095,925,060,
150,708,382,040,014,773,859,555,863,525,409,801,351,250,989,770,102,908,641,
352,224,804,913,526,444,647,906,085,013,313,246,118,665,175,367,723,434,690,
100,551,202,591,366,264,585,732,369,021,035,116,584,421,305,958,555,831,750,
581,437,830,057,461,997,715,017,221,791,963,644,921,890,317,159,125,191,637,
600,938,306,602,427,457,089,646,921,791,208,901,566,254,881,049,208,387,431,
289,507,382,473,049,161,615,569,208,023,614,826,262,990,248,385,232,900,377,
822,487,239,837,980,146,214,509,929,191,009,398,670,167,768,407,759,326,574,
010,742,223,247,553,747,716,859,499,194,199,244,037,365,425,366,474,045,331,
406,885,492,817,799,548,995,440,759,110,119,648,850,985,153,456,702,923,348,
435,939,246,528,743,127,748,616,305,263,018,155,073,406,444,829,083,330,548,
791,965,591,283,697,619,016,192,615,216,185,717,068,997,619,152,201,774,494,
161,261,811,485,118,395,846,070,506,644,703,898,683,912,252,238,152,827,114,
459,354,093,910,680,693,624,670,172,772,889,798,949,147,586,708,994,222,981,
972,521,833,420,564,956,969,815,316,864,215,398,558,979,721,372,601,261,757,
068,484,873,536,126,095,505,778,170,629,091,441,174,544,468,908,587,949,195,
358,073,310,233,851,047,091,266,617,434,152,781,470,260,665,535,760,542,968,
528,970,072,731,957,275,258,182,355,507,586,281,692,276,919,444,606,565,328,
156,682,636,795,528,718,870,902,403,092,902,641,690,375,632,869,889,787,699,
210,240,924,303,239,006,820,100,209,734,396,346,997,673,509,523,779,536,030,
543,675,117,100,085,595,720,022,304,041,394,710,578,415,613,949,321,897,950,
726,827,206,444,571,550,662,335,092,291,522,148,095,863,422,472,131,914,958,
600,472,814,788,783,101,467,110,447,199,918,393,553,967,726,444,031,169,382,
176,328,660,989,897,478,895,501,923,107,530,794,696,655,557,805,019,900,821,
052,719,189,514,387,461,282,659,926,776,703,930,094,690,473,856,871,719,011,
521,358,308,823,240,381,898,306,543,856,381,130,711,379,450,967,102,611,595,
942,952,946,195,631,314,137,863,819,426,144,382,142,904,619,525,038,064,603,
650,702,811,751,003,724,603,589,187,993,040,771,335,108,885,182,708,305,811,
988,981,231,412,984,397,847,848,004,496,960,440,965,306,589,614,898,368,251,
234,977,638,232,963,290,210,256,684,278,156,627,444,322,185,390,258,234,368,
239,345,200,487,529,992,987,652,162,948,840,248,692,230,167,532,729,673,427,
156,278,109,311,474,233,175,164,275,245,650,047,576,553,918,490,408,100,209,
696,278,238,339,030,731,730,837,997,443,684,782,941,738,451,799,531,907,459,
949,758,617,736,569,976,750,187,291,361,664,631,698,459,857,322,454,733,977,
918,012,028,053,420,990,898,327,414,069,282,857,759,333,192,440,191,827,440,
643,773,258,630,014,788,655,153,073,513,845,891,855,404,687,893,919,482,623,
747,193,227,291,816,989,687,487,479,368,123,296,481,891,001,575,699,873,980,
445,548,441,031,684,197,453,553,354,342,677,452,724,265,870,445,912,439,804,
910,677,468,994,651,138,477,452,832,849,913,002,357,089,230,863,255,419,107,
507,543,945,947,051,248,610,481,405,739,384,916,520,648,970,841,064,852,976,
576,903,639,202,948,068,526,933,699,376,021,826,787,662,771,052,221,842,782,
951,772,591,630,116,620,319,648,929,762,086,436,222,006,656,834,644,556,835,
036,186,293,955,960,004,573,118,164,505,220,496,160,255,436,102,788,173,052,
050,945,674,382,053,160,295,662,281,308,288,957,629,575,120,371,548,808,940,
047,026,525,341,204,957,038,876,798,849,688,729,363,647,343,251,302,260,834,
118,994,698,056,880,363,698,481,129,240,106,836,210,157,091,584,400,524,802,
369,077,194,571,838,981,969,056,830,943,600,629,763,879,473,358,439,547,730,
849,498,924,685,064,794,083,625,899,769,108,390,759,450,679,633,628,918,981,
296,285,371,051,491,377,504,093,730,495,867,249,975,076,379,847,675,387,535,
479,169,588,073,884,638,240,287,935,265,719,719,529,539,392,130,761,454,115,
975,487,763,999,202,130,265,305,850,835,020,472,405,370,478,524,248,522,371,
961,216,630,809,429,261,820,419,742,311,529,483,930,741,720,150,264,207,797,
660,459,614,743,994,150,180,950,110,706,403,027,520,971,774,279,719,783,735,
224,237,714,383,553,836,431,715,800,437,108,851,994,500,411,153,886,860,678,
063,849,025,146,577,422,384,418,661,244,689,124,891,914,886,763,086,454,611,
556,701,340,574,951,550,143,787,601,781,322,160,426,897,144,398,882,266,588,
699,764,858,922,498,007,870,746,073,279,654,140,473,490,791,897,638,551,714,
663,319,926,836,563,458,072,645,619,586,881,703,113,714,036,969,141,998,705,
450,482,268,868,952,087,438,451,279,903,923,364,591,782,632,539,458,082,816,
540,337,143,136,504,657,322,635,231,888,215,832,684,007,870,254,149,286,819,
769,915,472,241,374,597,812,238,245,566,877,802,137,749,864,092,480,696,773,
182,005,143,400,891,285,573,270,017,765,394,841,626,851,224,751,060,681,925,
222,224,056,750,319,364,059,503,644,439,200,505,756,186,215,321,221,864,596,
843,903,404,892,292,771,050,803,146,344,671,721,225,745,959,035,599,595,901,
839,226,381,325,960,577,041,716,763,171,112,791,451,111,645,154,249,482,995,
022,490,117,220,339,791,659,998,818,390,810,669,122,484,579,691,471,872,042,
861,690,368,352,956,022,102,021,605,815,325,298,124,527,268,669,112,934,299,
648,941,496,011,074,264,272,617,653,010,775,883,040,586,923,353,236,048,183,
084,650,122,630,671,932,623,743,358,456,727,528,268,345,832,313,308,299,504,
930,436,492,599,547,781,532,301,108,473,591,023,758,971,097,232,163,130,484,
962,747,747,742,654,709,726,152,660,719,500,360,982,973,368,904,784,785,413,
708,334,426,346,488,713,186,916,939,986,000,703,887,079,907,503,993,993,707,
735,175,669,517,179,082,495,458,065,795,841,127,175,071,990,532,686,103,959,
780,114,184,770,084,758,506,325,370,067,678,357,507,275,192,617,429,766,289,
355,031,242,764,265,275,245,667,396,821,472,729,040,872,068,624,220,319,782,
384,315,497,836,723,508,100,301,282,843,567,376,766,966,004,512,837,378,563,
638,470,267,024,879,078,322,148,908,993,391,445,314,899,473,928,137,402,671,
244,890,588,414,781,289,937,838,351,849,927,400,506,970,637,749,722,015,645,
757,687,784,126,514,878,914,500,938,582,260,653,112,778,362,295,502,924,545,
888,772,295,261,143,234,222,766,333,420,884,076,808,717,809,278,549,976,495,
892,137,496,892,912,792,781,716,096,400,336,185,241,576,165,962,700,804,022,
342,628,698,662,996,359,207,878,052,578,050,150,466,400,756,216,841,075,086,
983,633,964,744,946,639,049,391,017,438,062,390,286,937,759,889,517,331,130,
071,515,799,164,156,620,056,944,276,286,153,527,847,664,297,499,860,624,617,
937,249,660,745,083,075,587,518,940,595,434,193,190,208,426,100,237,097,837,
558,482,834,914,419,010,617,400,362,841,595,221,613,337,830,000,729,381,136,
812,276,869,320,126,908,713,427,944,014,942,833,052,004,240,668,284,910,166,
659,110,889,701,941,677,165,537,492,879,683,931,855,718,485,807,419,096,896,
095,982,014,841,450,953,890,573,212,191,610,131,946,037,710,158,192,354,421,
631,317,246,786,977,917,986,195,461,104,883,523,746,753,154,271,509,718,925,
317,296,562,309,757,166,418,610,912,813,351,602,244,776,960,938,135,032,483,
029,602,894,173,982,873,859,763,415,314,299,318,520,292,648,297,244,973,005,
828,025,742,428,393,332,833,996,859,256,580,267,336,712,288,975,380,969,198,
505,534,335,723,088,236,891,304,144,013,502,667,547,506,475,242,808,578,745,
172,102,937,308,193,060,346,063,805,974,939,291,188,008,668,757,257,077,206,
247,524,675,910,785,064,898,042,428,706,010,977,734,357,087,648,655,483,610,
560,132,394,533,292,475,791,150,134,458,979,013,690,056,479,820,213,400,364,
202,105,440,734,902,540,131,704,220,428,126,052,474,374,471,784,439,258,638,
211,117,439,714,983,667,615,564,650,224,607,671,371,953,203,782,829,267,473,
630,892,953,906,668,863,800,573,031,839,312,366,936,408,498,924,638,323,096,
553,945,076,237,343,851,806,500,822,990,405,240,630,824,241,488,645,045,490,
964,470,372,524,650,578,246,244,761,333,356,012,349,327,153,954,335,631,311,
728,946,855,006,708,100,390,766,883,007,798,317,390,865,279,648,510,082,759,
957,082,520,144,130,449,120,289,848,945,154,324,606,446,902,758,531,980,839,
434,299,278,156,698,612,254,526,630,089,320,515,183,948,170,786,097,947,548,
704,173,633,856,502,295,950,864,810,585,860,910,488,035,380,726,183,903,828,
021,373,119,964,982,902,714,383,711,806,818,324,947,839,232,281,525,143,408,
992,983,101,878,494,196,697,703,751,032,905,343,596,212,066,777,770,722,547,
241,290,221,813,919,379,067,257,066,080,258,247,811,453,470,927,295,184,763,
135,182,823,118,128,533,317,151,440,209,358,484,761,182,856,253,370,896,730,
264,439,569,863,361,382,593,875,135,886,989,788,802,991,284,143,049,579,262,
339,933,489,288,412,952,262,328,527,401,562,369,474,348,907,120,700,504,972,
788,000,545,616,558,085,818,068,724,130,533,373,755,856,133,967,147,033,379,
615,990,698,745,400,370,966,165,491,976,670,449,858,738,893,924,283,564,557,
900,716,750,574,503,357,744,435,624,943,291,178,724,991,964,406,452,298,955,
191,970,641,301,186,748,432,330,663,653,973,203,869,279,027,387,665,445,182,
884,832,766,377,377,427,736,148,894,579,606,141,333,648,695,558,169,536,698,
171,539,926,307,502,467,042,475,234,311,026,193,821,982,496,575,631,049,018,
650,641,172,043,104,870,806,357,766,281,543,693,066,090,138,645,328,492,120,
979,745,864,422,152,661,674,242,559,331,260,313,567,666,909,036,924,752,155,
528,336,174,984,357,807,371,538,286,794,218,009,300,114,317,457,758,346,678,
170,134,127,359,772,434,605,999,979,952,089,136,299,953,695,887,307,791,015,
458,553,036,037,705,744,310,000,906,750,747,544,721,573,789,222,371,004,074,
443,250,264,289,926,580,776,136,194,042,696,132,559,286,279,246,784,444,900,
611,199,117,151,121,400,586,296,505,657,020,548,820,031,999,229,381,543,631,
713,650,655,569,872,926,270,299,612,193,471,773,147,646,533,485,412,565,422,
798,517,849,343,064,945,777,431,502,370,511,482,108,634,468,366,576,179,931,
848,267,373,181,906,334,525,723,091,193,452,865,825,775,355,571,425,224,098,
552,083,962,982,680,180,163,353,703,074,064,553,992,510,278,856,239,012,311,
551,718,209,781,423,289,850,002,521,745,962,751,894,478,904,152,719,885,761,
777,305,689,341,277,445,327,782,892,644,026,485,580,431,639,204,305,988,815,
982,456,720,672,258,716,672,044,797,292,705,726,328,369,848,152,404,246,167,
839,178,451,745,463,090,406,619,478,688,236,652,107,352,206,197,405,618,692,
170,290,035,348,032,670,373,723,282,166,688,092,563,447,172,274,842,259,101,
077,089,101,259,586,722,991,831,389,710,821,884,397,873,711,854,854,823,566,
709,561,470,138,286,673,824,602,240,880,193,644,804,279,287,981,641,034,001,
887,680,986,584,786,927,512,713,974,067,816,512,215,679,208,583,245,548,283,
946,570,986,601,416,010,583,324,057,698,897,194,838,568,995,078,307,789,127,
890,385,311,406,112,656,160,029,444,887,802,491,064,499,518,172,956,254,092,
947,713,407,625,626,268,945,837,297,799,819,725,339,319,453,046,446,503,040,
005,263,788,705,074,148,760,244,088,039,770,505,207,542,297,154,252,469,495,
037,184,197,934,558,249,127,401,460,426,559,659,107,789,118,967,820,954,893,
098,594,583,793,243,270,510,408,462,485,013,630,432,428,870,560,399,316,929,
989,554,841,309,853,492,590,640,703,410,861,468,348,264,166,482,771,918,384,
652,857,210,845,573,505,263,437,145,913,491,177,261,422,392,631,558,075,295,
088,145,629,727,404,327,645,886,170,133,065,851,967,492,051,369,815,732,999,
641,523,359,775,208,777,170,478,641,797,836,879,292,683,939,557,197,979,325,
006,579,684,535,278,553,264,432,572,355,966,192,837,796,346,100,005,322,349,
853,243,104,122,606,657,711,062,829,464,927,493,868,445,833,224,976,100,116,
110,298,140,541,686,437,478,252,478,957,448,943,708,877,299,460,778,612,705,
865,281,239,330,956,015,685,285,588,823,875,690,278,680,646,516,375,860,126,
804,894,615,749,191,050,913,434,530,099,259,423,577,552,801,757,739,452,082,
192,986,068,914,378,037,174,208,860,000,181,410,368,333,367,623,269,490,206,
636,292,323,355,445,001,370,778,474,298,017,967,882,935,161,007,257,245,596,
128,785,285,056,343,270,820,912,820,778,415,968,386,946,392,064,591,426,320,
531,519,950,158,008,694,630,384,846,430,580,712,851,222,181,961,954,466,661,
836,932,920,587,958,093,575,636,769,332,361,563,958,534,293,071,878,436,263,
822,839,913,655,381,076,555,752,543,812,146,715,364,456,177,209,238,447,077,
308,238,921,176,564,906,611,361,250,082,382,399,724,522,460,163,406,962,621,
433,172,077,842,856,831,503,255,256,844,673,024,869,041,084,154,539,188,998,
871,981,204,219,819,252,259,037,305,260,531,074,375,209,573,230,580,163,528,
790,007,866,788,458,529,738,544,098,406,087,883,051,986,767,906,374,937,512,
604,796,122,208,498,589,605,299,084,232,287,353,552,927,745,208,351,199,607,
055,360,087,648,128,046,408,247,056,620,113,845,869,691,958,810,311,670,188,
832,900,857,407,207,924,035,899,463,549,140,464,952,568,643,336,219,907,995,
698,978,640,063,307,877,001,841,839,149,556,923,011,231,721,831,456,038,334,
768,633,446,849,275,221,138,093,914,203,699,311,753,522,479,013,872,123,417,
078,624,040,632,983,546,121,466,242,247,396,915,010,022,573,425,855,645,955,
773,859,311,619,507,869,298,026,710,805,877,219,403,242,923,546,523,359,965,
912,446,953,663,988,388,510,210,494,480,745,969,879,850,169,627,893,476,818,
129,653,136,165,984,790,335,728,296,429,184,445,696,131,346,656,101,382,115,
606,061,509,403,861,539,546,418,863,227,873,452,795,015,937,908,917,956,960,
402,039,414,169,521,686,862,437,675,686,733,249,145,446,883,723,759,954,525,
543,603,376,562,925,864,029,942,434,950,181,793,319,031,802,140,567,002,406,
056,910,656,932,231,680,531,322,127,746,559,815,135,174,276,741,752,629,000,
509,813,040,702,040,382,225,229,279,202,248,676,553,617,251,293,580,700,589,
220,587,370,552,877,663,135,087,581,530,008,714,455,981,326,213,705,842,145,
634,622,993,264,132,548,155,373,680,263,818,810,762,372,370,716,479,323,175,
993,377,399,313,192,982,315,424,585,751,817,182,447,786,921,639,332,219,325,
461,177,433,017,810,671,450,684,542,091,769,531,425,884,992,572,066,129,121,
929,254,457,449,878,047,998,231,480,923,031,515,922,622,093,887,112,479,754,
849,615,171,566,712,175,554,492,828,922,041,363,340,909,487,316,382,947,497,
907,001,650,914,932,347,220,976,277,785,094,928,956,049,056,561,771,497,647,
986,057,074,047,091,880,830,358,534,006,164,267,824,066,902,976,405,266,650,
579,137,497,635,305,822,096,373,097,770,274,956,778,268,654,872,003,301,830,
077,571,483,267,607,189,337,527,156,094,626,193,345,773,241,903,082,021,793,
109,710,601,169,773,095,915,095,129,648,585,808,072,364,406,230,423,203,624,
489,680,403,318,817,722,234,682,177,599,463,185,091,893,440,218,711,113,837,
873,513,051,288,364,759,519,623,758,018,957,499,245,456,894,128,804,339,062,
095,252,299,311,302,605,885,344,023,165,779,191,050,621,094,523,888,253,994,
759,484,895,862,567,544,340,511,929,788,747,439,474,371,551,454,256,286,893,
320,713,459,480,046,711,204,556,748,662,594,204,350,768,749,183,354,383,860,
519,085,442,647,289,727,292,419,129,615,797,256,370,400,742,578,939,281,119,
401,726,553,414,973,225,022,639,272,981,862,389,254,299,439,509,360,217,476,
982,949,893,468,932,726,033,351,223,353,021,113,770,865,698,931,827,344,635,
779,693,805,824,834,517,055,020,070,813,798,157,188,813,679,597,865,900,220,
064,406,138,327,862,127,332,281,018,562,625,573,071,027,019,961,398,465,302,
624,739,444,472,124,339,514,131,283,529,740,993,257,275,089,247,372,876,140,
719,592,558,916,183,660,609,053,939,915,047,413,863,125,297,073,038,977,673,
662,473,361,224,573,656,991,390,504,408,615,306,443,828,751,180,496,667,127,
846,138,776,688,268,781,971,793,843,210,863,078,440,916,054,233,671,332,667,
162,037,252,923,749,887,188,750,731,515,411,699,797,691,255,312,488,259,640,
536,170,581,276,760,325,236,022,167,672,254,016,098,927,538,984,252,984,057,
110,786,300,420,050,652,481,339,168,405,674,867,287,014,437,873,811,672,904,
275,734,936,248,819,078,065,609,413,959,088,938,824,090,251,996,341,223,554,
579,085,591,840,762,738,417,032,488,572,925,375,420,623,226,864,183,281,405,
796,137,567,115,865,868,569,326,029,295,029,182,899,661,659,078,631,786,827,
940,050,169,008,159,096,508,653,198,990,112,880,971,761,566,448,647,977,123,
768,736,377,327,189,686,091,251,593,025,357,935,939,472,740,223,163,370,697,
148,250,415,784,115,972,122,850,698,586,653,677,455,742,378,983,177,545,188,
784,410,531,857,264,631,261,398,113,605,516,703,755,936,273,308,091,224,282,
221,204,202,022,567,911,642,812,956,491,188,607,890,050,041,356,803,003,418,
287,085,915,815,429,295,953,559,255,957,381,471,153,879,778,057,186,367,170,
780,572,499,009,617,821,566,053,236,396,079,891,886,228,069,281,639,724,705,
925,264,499,396,795,864,211,053,179,125,135,124,307,653,660,539,560,865,640,
581,091,901,231,051,894,187,508,109,536,351,122,914,965,615,380,875,124,470,
142,037,846,432,800,589,901,551,170,226,363,510,032,601,957,678,303,129,929,
594,151,177,794,794,684,584,177,080,879,495,501,368,889,817,472,686,301,510,
956,495,126,055,257,902,770,232,643,323,529,287,320,234,898,515,460,437,206,
620,868,383,991,878,568,463,849,070,061,650,674,804,478,587,102,385,606,189,
518,365,259,439,247,029,385,302,858,286,929,326,449,057,471,020,629,639,215,
906,984,011,343,541,710,983,833,799,317,415,759,919,876,276,540,104,400,002,
099,249,775,195,093,736,588,789,886,694,855,861,307,751,069,365,771,053,787,
300,547,723,589,953,014,831,995,404,895,715,422,783,785,348,670,686,283,362,
343,109,785,840,559,980,189,732,053,495,054,663,212,094,221,288,034,886,971,
454,783,271,528,480,922,246,580,589,965,592,979,402,581,862,621,675,846,015,
315,885,839,189,842,157,655,805,628,012,639,667,031,905,390,498,636,558,844,
627,224,899,709,359,662,440,202,168,817,742,665,306,134,129,884,368,897,438,
340,976,928,642,032,151,294,641,994,081,998,725,792,365,411,858,595,945,736,
697,976,145,841,033,271,191,142,856,852,643,260,389,662,853,334,915,319,163,
580,936,892,298,757,959,971,332,892,306,856,780,074,597,280,210,374,579,965,
508,502,588,115,129,659,461,844,990,269,842,452,582,281,429,329,092,098,625,
351,738,809,667,623,159,195,554,196,512,999,809,818,377,543,618,188,571,792,
193,410,964,413,343,932,935,731,861,170,415,631,614,258,066,339,624,279,434,
525,306,349,212,870,040,012,618,614,543,050,685,793,344,805,736,999,099,084,
677,526,923,930,365,470,212,916,686,358,354,898,395,690,899,466,898,440,457,
291,269,001,320,197,197,870,240,355,103,464,153,332,126,723,997,745,585,392,
951,945,588,651,911,114,357,247,047,348,485,879,654,817,137,144,538,245,537,
101,359,288,616,738,942,434,007,780,109,223,495,209,185,103,297,146,863,200,
721,565,891,893,831,729,920,209,089,440,332,281,557,826,998,101,404,387,343,
372,359,811,005,548,838,700,016,266,844,064,106,531,016,930,825,179,095,051,
942,236,904,215,214,261,094,262,320,639,158,666,673,024,989,413,273,998,287,
456,363,295,058,917,995,025,084,859,663,992,682,887,093,464,873,434,389,855,
614,190,969,958,004,362,540,393,330,665,115,014,138,351,151,308,114,085,444,
551,117,015,441,061,025,489,957,425,727,526,445,066,158,576,519,018,020,133,
793,864,667,033,081,521,969,371,389,001,021,249,382,618,879,754,813,397,699,
582,651,091,629,833,699,738,255,724,070,957,215,693,421,707,227,900,842,061,
791,725,986,395,708,193,977,850,368,335,586,556,824,529,297,129,922,166,651,
880,279,138,384,163,915,676,996,137,887,305,582,621,978,551,886,081,117,005,
536,157,842,288,464,039,616,081,146,116,173,712,967,326,797,360,169,146,784,
883,987,524,376,367,745,664,270,634,615,404,433,248,016,801,854,984,804,650,
393,423,698,059,137,993,228,147,620,521,935,391,842,517,799,347,828,820,567,
295,458,278,046,861,912,665,190,310,799,622,101,954,205,750,052,474,234,616,
684,794,664,901,103,883,725,623,562,745,257,079,139,879,086,844,137,127,388,
556,197,014,724,945,317,273,747,596,417,341,906,384,557,670,902,051,742,409,
018,480,661,993,466,091,767,981,993,934,110,847,027,029,879,003,790,393,857,
971,981,231,698,758,154,492,504,825,616,761,838,708,248,752,127,768,385,768,
289,161,336,813,578,120,423,345,870,226,099,667,820,871,550,389,439,286,790,
523,968,158,624,684,655,695,964,357,722,154,448,543,163,404,606,393,951,775,
849,998,094,961,919,398,110,613,438,645,573,242,106,712,179,121,889,998,038,
650,690,754,179,141,342,964,353,337,322,872,599,577,540,976,453,518,421,625,
932,453,640,493,973,008,844,739,944,677,164,220,982,201,025,158,047,201,308,
695,329,413,673,448,192,985,039,410,675,086,985,157,431,389,922,047,167,820,
033,536,891,578,205,290,664,254,663,841,141,940,504,968,646,230,303,758,063,
073,087,785,012,384,009,013,337,708,444,450,503,939,261,130,718,573,415,362,
293,332,671,808,274,798,364,345,580,734,723,125,756,084,554,496,684,011,587,
322,935,667,792,758,419,922,056,612,597,063,528,957,902,745,093,512,476,785,
228,812,379,184,719,938,098,928,788,547,283,259,437,252,918,176,419,617,546,
112,509,111,621,190,008,182,939,078,865,595,908,766,021,484,532,110,740,873,
233,792,576,050,123,548,916,992,487,137,773,753,822,665,095,024,618,614,262,
849,455,566,279,067,763,908,111,191,963,501,041,566,709,376,144,011,052,260,
419,970,254,482,597,665,330,843,715,227,488,284,492,781,557,307,494,334,205,
680,711,623,182,265,403,924,574,757,147,276,038,963,614,058,658,671,701,934,
541,533,711,390,979,765,583,029,045,628,594,251,168,844,586,174,418,488,809,
295,118,440,654,965,215,606,043,415,892,285,909,193,533,159,091,889,352,718,
358,198,359,458,789,460,204,635,434,257,139,309,645,763,912,672,851,508,597,
039,140,619,178,125,340,848,426,958,317,252,469,065,492,320,554,642,315,575,
461,228,707,667,057,907,389,359,602,220,514,037,393,973,699,663,862,473,588,
335,484,298,118,938,898,053,922,928,032,423,805,351,804,333,587,450,218,828,
247,442,706,677,906,884,488,200,899,000,632,959,847,255,309,922,560,324,173,
542,367,178,390,162,201,840,425,172,773,378,582,463,456,108,996,620,366,000,
032,905,756,992,080,656,505,783,855,196,636,705,261,431,146,938,191,050,766,
658,896,540,092,016,386,463,686,729,901,824,124,087,180,521,022,092,983,569,
498,827,182,295,049,273,666,820,661,123,649,844,194,865,259,213,485,721,173,
772,873,551,827,597,903,776,760,531,111,366,802,937,910,659,197,422,484,068,
565,477,335,840,206,752,958,023,097,774,698,871,110,196,953,330,911,015,471,
741,237,228,507,358,771,995,800,986,168,873,863,321,726,879,172,783,449,423,
669,716,371,103,138,929,863,856,431,917,948,956,879,701,179,630,151,313,423,
427,450,814,569,808,834,012,571,573,449,488,586,954,256,112,623,512,113,559,
823,196,984,208,844,348,734,693,450,558,246,433,373,764,030,803,854,883,376,
038,625,825,096,047,384,245,413,021,423,936,855,051,170,224,314,961,679,951,
018,245,688,963,689,661,210,815,302,506,638,948,186,201,838,331,685,985,772,
360,928,839,441,407,265,171,902,721,126,391,909,312,849,398,749,015,088,900,
379,036,580,740,447,156,638,422,837,401,394,645,939,006,933,853,194,451,239,
380,866,786,735,749,863,831,869,508,124,064,686,835,918,656,921,883,689,511,
169,959,013,190,576,169,606,951,327,407,235,092,361,387,658,781,113,852,880,
308,511,621,935,422,545,799,416,362,471,510,885,664,952,434,822,889,214,147,
271,559,166,595,601,266,433,695,669,382,457,910,029,211,097,809,765,664,746,
030,187,362,957,564,467,490,180,527,795,804,450,691,374,609,567,814,361,978,
457,912,297,926,241,465,615,131,527,799,694,088,939,998,317,154,483,759,235,
627,212,808,764,243,218,838,699,013,803,895,820,174,703,780,394,750,798,929,
306,997,921,498,799,359,375,616,242,744,329,955,127,465,974,228,151,982,867,
200,160,067,036,006,518,405,188,883,450,732,611,815,244,987,786,838,041,962,
066,559,815,118,740,317,247,051,088,758,078,511,347,866,189,208,594,637,524,
697,095,152,763,412,681,626,275,762,126,069,862,925,547,486,355,340,733,802,
555,239,021,855,035,484,777,902,262,996,616,917,507,313,045,941,221,500,931,
728,780,291,416,695,901,113,113,058,720,628,864,379,976,607,069,832,350,943,
654,044,957,577,621,208,313,602,816,007,493,203,649,764,081,084,297,028,266,
829,909,901,740,013,577,458,321,455,786,895,563,707,063,940,758,526,243,139,
937,613,621,516,894,027,118,055,004,051,971,565,916,627,291,011,383,763,705,
788,655,838,116,176,191,938,906,471,884,048,971,525,451,548,535,047,412,594,
114,825,582,608,438,311,478,878,772,658,731,447,588,116,970,063,726,017,153,
379,251,081,276,971,611,635,722,653,797,140,537,770,983,256,897,877,712,522,
323,498,644,684,402,553,751,220,102,986,099,123,788,980,365,165,233,693,988,
689,715,491,849,153,870,846,054,095,929,193,105,707,399,359,832,470,082,135,
193,406,784,790,446,029,940,062,315,625,608,358,785,855,651,695,975,094,963,
688,635,900,335,861,211,898,455,038,080,285,843,367,089,342,338,727,279,052,
948,084,053,192,338,960,597,508,192,209,951,029,286,777,883,703,597,355,445,
801,187,531,914,262,821,256,904,510,790,707,573,000,078,250,910,467,165,627,
827,916,760,323,512,526,860,905,444,166,221,183,718,517,893,733,700,694,521,
158,547,050,147,741,857,057,745,882,187,279,509,690,613,319,913,983,427,534,
781,063,147,592,991,424,810,181,280,335,641,965,934,155,700,927,951,309,742,
063,595,040,193,364,174,961,377,790,024,598,539,809,780,546,728,475,626,041,
789,666,944,544,799,013,341,120,860,728,520,680,365,036,294,521,688,853,153,
810,269,031,384,747,936,263,094,235,609,865,694,883,595,093,249,067,179,768,
615,148,695,963,658,734,347,042,296,079,868,894,844,697,761,795,655,402,007,
935,208,526,167,615,713,474,259,519,372,922,942,138,690,745,598,988,882,988,
883,325,591,286,970,921,836,219,218,787,093,215,984,492,481,344,976,484,406,
523,640,300,052,143,322,978,340,394,404,294,084,237,758,982,998,282,134,329,
573,065,409,280,329,215,932,444,321,330,407,191,142,314,600,905,521,640,835,
702,414,895,459,843,022,088,957,466,454,005,563,571,974,809,743,182,913,233,
211,522,391,918,917,607,597,625,691,243,005,303,466,913,552,768,229,085,072,
779,443,814,844,098,606,916,326,748,631,088,132,192,268,958,714,623,144,562,
298,653,790,673,718,813,148,746,733,794,485,263,913,763,084,044,600,096,744,
773,957,179,992,865,460,946,050,294,366,311,286,641,017,203,389,894,575,226,
849,890,601,295,717,700,398,976,659,363,381,337,584,749,329,940,528,068,669,
438,080,068,488,037,128,516,265,886,600,766,603,958,924,106,860,614,319,344,
397,699,514,422,631,448,062,926,192,095,503,520,625,519,337,765,055,385,576,
818,673,524,438,302,248,301,759,211,980,908,272,224,072,317,582,836,648,614,
362,057,562,492,417,862,919,610,916,952,203,844,843,433,412,174,429,715,852,
195,384,482,570,400,962,692,191,454,803,507,941,807,006,091,456,787,785,310,
472,952,452,592,592,919,933,449,221,686,941,075,283,211,885,492,379,398,466,
325,384,055,619,602,126,227,215,724,749,497,054,179,169,804,977,590,656,484,
445,272,971,449,686,842,001,322,486,101,064,335,507,623,247,094,349,548,416,
196,622,688,986,355,612,248,108,207,538,047,128,344,456,469,250,611,318,782,
971,962,447,041,951,677,277,357,400,739,648,752,072,773,683,345,720,796,934,
994,320,645,070,302,737,822,031,072,644,617,913,889,958,954,220,126,204,637,
926,004,441,269,262,952,946,590,823,674,350,013,865,294,860,506,410,831,620,
766,102,787,661,106,671,223,782,921,974,251,898,848,469,940,055,694,543,359,
553,871,107,443,411,605,873,936,404,622,508,801,409,130,761,065,842,245,902,
461,761,159,062,359,933,419,027,712,045,060,110,644,453,563,764,015,762,498,
764,298,679,220,902,088,447,176,912,543,964,478,693,154,389,525,223,238,660,
809,768,655,485,019,043,104,710,961,914,184,906,293,945,879,448,071,973,615,
972,433,726,616,232,600,525,542,526,924,787,499,454,581,640,386,492,089,221,
053,700,711,762,362,100,913,149,132,625,753,740,971,437,255,084,463,433,770,
977,167,276,312,579,728,145,078,061,834,143,754,974,512,540,963,744,772,130,
009,973,157,889,935,953,315,440,152,925,685,581,192,577,909,955,093,908,582,
129,732,660,150,765,962,174,601,923,657,738,721,803,575,983,273,039,015,646,
809,033,154,239,646,191,847,726,580,773,014,069,856,981,140,794,654,184,324,
527,080,304,808,441,980,081,678,702,575,322,091,399,103,062,083,215,236,120,
888,384,836,932,193,488,358,638,754,163,266,319,553,429,715,455,273,580,385,
400,007,140,637,553,475,811,767,180,346,091,175,307,646,609,246,406,041,018,
152,704,513,356,874,652,819,791,939,467,802,104,740,423,293,306,503,477,112,
932,853,172,696,546,593,189,243,122,782,789,450,919,494,077,629,266,798,618,
174,621,383,153,274,041,994,901,210,984,341,068,618,094,078,553,197,739,441,
460,421,374,349,975,726,674,845,773,871,707,427,717,871,840,182,736,107,819,
235,319,492,603,093,505,285,661,822,299,348,480,640,518,112,795,518,250,129,
423,557,217,757,142,595,458,900,539,445,811,264,024,810,738,039,054,635,874,
249,831,529,680,610,586,006,451,856,929,598,259,557,881,962,086,084,596,379,
527,827,290,306,299,222,838,790,924,734,633,603,273,279,689,336,429,643,814,
585,606,248,806,261,318,850,255,711,530,157,100,044,579,593,172,367,296,268,
691,646,833,525,812,035,936,999,622,282,714,194,786,809,296,867,926,737,124,
307,830,823,741,703,151,090,977,277,743,929,613,207,207,768,774,683,307,317,
987,229,920,230,728,850,458,082,671,686,879,384,423,093,109,762,107,364,122,
959,896,113,283,098,934,248,530,848,435,800,648,913,589,586,002,149,340,945,
631,284,888,267,150,017,277,391,495,885,446,882,405,694,303,028,647,473,668,
239,046,846,321,716,017,993,258,373,020,919,515,575,473,549,000,026,707,569,
526,986,475,194,648,327,234,161,272,415,458,409,190,898,142,503,358,793,276,
320,103,131,160,296,103,461,328,002,717,287,917,715,526,826,884,948,893,330,
768,603,702,418,952,883,501,572,908,887,643,432,401,460,036,153,030,864,719,
358,338,171,522,665,998,182,059,163,920,332,621,663,671,509,334,516,575,228,
860,403,032,727,221,916,530,901,260,331,206,862,465,444,745,452,780,439,517,
970,136,463,632,588,276,289,515,246,622,112,773,425,462,179,255,000,867,959,
521,348,624,855,981,133,823,988,351,681,827,329,509,457,199,673,722,798,613,
668,013,921,380,104,603,729,245,924,151,465,402,015,204,789,489,554,342,248,
343,244,999,172,721,818,532,623,275,208,694,946,492,794,907,556,205,038,754,
845,932,521,393,889,421,863,310,134,176,753,133,118,385,334,519,011,609,147,
092,184,672,977,578,441,918,644,644,322,383,204,911,839,913,576,363,554,932,
660,971,680,512,456,113,375,231,927,635,923,908,950,392,265,134,798,894,139,
137,208,940,791,941,766,841,454,484,962,010,593,081,123,167,993,590,664,724,
813,512,745,282,986,690,194,577,239,703,555,364,662,172,203,636,718,840,600,
795,901,960,151,020,208,285,999,720,483,195,326,582,545,197,071,623,331,470,
231,882,160,356,189,383,080,386,759,732,091,244,214,376,447,061,551,994,622,
677,067,177,661,752,895,291,946,051,840,928,454,639,949,165,125,077,899,921,
179,051,463,297,263,808,691,178,806,821,428,692,864,992,550,741,623,344,030,
735,142,066,073,783,367,592,094,849,431,809,469,687,198,501,075,972,141,725,
497,071,410,690,360,053,081,033,638,462,734,691,753,384,748,436,840,375,778,
540,352,052,745,131,743,841,393,741,317,318,900,636,200,710,381,490,629,251,
323,777,075,605,719,436,789,465,825,821,035,414,397,637,691,945,502,429,111,
172,598,898,637,588,913,824,250,782,947,406,127,057,875,327,602,682,679,577,
179,272,947,609,564,751,009,627,640,342,917,093,188,035,154,570,725,049,378,
065,024,988,776,316,219,035,968,049,086,882,938,500,045,947,260,932,385,393,
295,354,452,309,774,060,564,065,227,655,574,853,485,695,998,258,758,109,996,
464,146,415,130,436,597,428,327,616,157,184,253,852,627,647,876,940,634,291,
859,140,983,109,105,087,599,721,646,162,871,455,884,708,683,770,699,846,119,
919,874,387,541,103,190,506,575,024,739,331,337,897,043,365,251,916,975,251,
220,385,845,497,869,770,845,582,052,958,527,682,438,876,340,567,136,842,275,
657,405,737,539,554,582,342,518,949,736,495,713,552,658,047,365,718,285,189,
133,006,359,629,371,945,456,812,998,360,535,338,209,376,089,740,523,968,176,
613,753,652,796,579,901,236,065,451,053,952,471,537,264,183,258,733,282,365,
953,356,362,232,145,131,812,423,241,931,699,596,771,743,555,671,684,591,301,
975,690,237,604,852,473,426,317,521,977,283,315,690,692,585,801,917,206,118,
745,973,806,553,628,993,144,608,366,314,806,123,284,154,982,102,034,934,478,
916,015,712,389,981,130,015,294,673,009,591,063,400,907,273,570,100,472,849,
111,045,126,896,337,268,868,622,899,207,377,268,672,227,096,868,944,192,272,
564,111,828,476,464,079,714,798,997,536,654,120,176,178,220,591,681,627,379,
646,434,528,693,864,857,482,155,022,213,441,628,209,544,080,351,097,103,713,
274,937,334,858,290,783,214,973,535,893,264,060,509,344,895,956,549,945,441,
068,616,242,570,246,434,012,813,220,882,073,954,708,738,847,931,064,364,510,
509,904,028,721,907,326,325,371,351,300,357,449,288,759,211,953,893,723,315,
938,079,424,549,389,799,246,617,111,263,207,930,944,714,008,873,208,094,111,
260,813,959,720,015,300,564,497,758,863,607,300,839,922,412,776,866,005,708,
580,335,691,114,142,319,770,646,839,148,071,502,814,896,282,366,391,190,069,
076,532,112,192,941,755,801,592,408,353,111,351,586,374,892,091,896,244,650,
013,341,770,447,733,841,434,811,719,671,110,711,090,295,345,014,226,019,613,
656,845,745,438,982,034,849,513,248,165,101,192,409,317,464,871,820,630,455,
077,763,355,635,655,184,086,414,346,684,413,933,693,222,795,904,072,960,567,
890,759,883,166,827,445,552,125,658,287,022,671,862,843,501,014,806,551,461,
033,408,823,794,117,342,352,791,689,599,398,742,946,125,493,676,185,875,544,
909,254,961,558,193,927,032,530,263,907,019,785,715,619,551,229,946,881,060,
215,820,964,927,948,770,162,689,600,120,914,085,486,789,023,964,087,540,976,
255,549,841,372,589,274,217,796,592,231,100,248,021,101,507,395,508,631,171,
576,778,123,123,943,200,928,534,353,921,559,281,726,883,397,067,042,571,232,
587,119,092,150,518,568,522,660,330,270,801,545,455,969,314,312,173,281,869,
464,224,275,016,143,902,494,572,736,965,676,308,092,953,906,776,638,648,431,
643,564,082,309,772,809,010,571,491,393,172,544,132,898,290,738,433,875,772,
184,687,366,110,642,961,772,256,961,288,653,412,549,187,185,368,387,037,960,
921,279,034,771,986,903,213,111,409,849,090,381,430,429,554,653,383,300,731,
816,803,242,543,906,647,059,603,842,511,903,779,976,653,153,990,001,762,387,
772,516,740,509,369,063,582,369,388,893,266,060,060,420,835,314,186,533,847,
378,232,425,785,852,905,322,419,902,309,747,529,960,830,539,635,616,305,914,
158,859,628,796,645,987,280,964,862,135,795,968,950,441,738,354,719,126,069,
005,343,339,867,392,454,818,081,905,397,189,444,928,888,491,172,655,188,984,
977,959,651,737,758,952,720,825,182,570,214,386,388,175,446,622,990,824,965,
227,915,569,488,730,887,044,804,315,430,107,582,659,387,062,442,906,549,025,
936,600,931,770,611,297,622,104,722,975,397,519,702,894,915,054,314,687,040,
002,346,624,942,115,136,434,061,063,820,931,686,528,736,300,883,766,711,440,
443,028,573,025,918,078,522,644,099,687,103,494,801,211,842,568,456,475,209,
988,126,562,631,273,755,021,787,156,624,328,516,067,353,384,303,181,159,639,
878,014,357,100,873,501,760,948,218,227,467,382,982,345,533,501,075,282,819,
402,852,456,848,320,257,742,454,144,897,226,993,849,899,897,930,839,992,146,
772,795,887,002,097,528,143,295,663,420,994,944,948,328,835,437,848,219,411,
456,999,698,926,995,062,742,576,082,992,603,109,051,426,311,426,910,807,847,
547,425,789,616,453,235,736,872,384,253,505,518,788,569,238,607,716,502,816,
644,081,628,364,688,427,740,548,747,292,534,911,775,387,810,194,450,582,157,
327,308,538,855,976,294,624,423,465,125,408,324,484,380,435,243,786,772,414,
423,228,463,787,770,432,765,165,794,879,598,755,051,456,400,191,115,511,918,
989,546,179,635,112,518,849,251,081,925,629,405,670,904,041,177,663,444,204,
944,107,147,244,395,387,278,696,187,339,967,677,161,038,354,466,758,086,034,
583,350,169,181,548,173,091,084,449,206,057,505,663,769,458,042,003,862,860,
143,928,125,643,377,678,632,353,102,158,687,645,631,297,606,839,317,536,891,
380,407,487,538,940,762,094,092,862,729,785,768,491,787,007,954,711,513,241,
934,620,838,738,721,297,215,568,845,887,758,019,578,683,418,350,793,024,326,
443,622,702,979,901,680,849,522,757,197,008,909,409,703,139,207,426,178,185,
289,917,271,486,921,049,845,327,233,684,661,849,736,710,427,661,850,884,926,
279,603,285,283,736,883,582,458,234,158,315,045,284,475,407,528,598,094,532,
791,578,166,401,419,259,351,521,683,205,529,022,149,606,913,455,010,461,358,
281,485,659,053,028,231,584,629,230,526,336,178,384,303,610,715,220,244,050,
885,903,728,563,362,964,246,740,527,423,090,886,152,264,937,135,006,721,830,
988,182,756,757,661,104,891,067,809,612,378,278,969,072,303,160,280,013,619,
391,490,844,665,733,819,116,463,966,113,803,197,185,828,313,647,382,916,686,
393,631,820,361,236,232,343,900,233,000,869,235,554,463,623,141,991,131,213,
288,710,019,960,236,016,018,198,644,052,572,893,015,143,808,366,080,217,490,
715,896,032,854,533,541,826,479,473,677,296,651,032,557,422,388,630,768,054,
559,130,190,023,809,255,551,870,694,069,103,416,443,002,318,697,538,289,237,
498,495,368,675,510,805,190,955,087,032,331,547,383,820,288,466,648,340,812,
006,645,006,673,323,287,607,353,922,681,285,316,220,421,408,160,806,709,354,
327,644,481,473,512,627,266,418,746,628,768,912,978,479,002,654,659,202,601,
300,946,550,363,011,706,353,741,102,448,416,439,976,469,378,667,140,271,388,
442,372,422,724,335,439,506,557,188,897,618,413,249,613,914,227,007,403,097,
118,100,487,548,374,616,718,164,100,065,365,068,445,063,020,539,257,650,322,
501,207,956,831,778,925,230,110,424,443,107,241,095,063,312,863,351,775,819,
672,418,704,280,320,004,997,047,184,887,000,250,841,561,097,754,622,673,843,
236,907,834,068,007,315,441,895,675,911,926,189,045,516,900,806,739,947,119,
056,351,759,087,222,040,909,033,261,063,228,889,299,436,290,546,773,560,715,
995,007,209,562,525,057,679,618,496,762,797,790,010,849,840,828,053,694,249,
969,775,754,585,961,102,087,147,958,654,551,096,710,863,964,636,988,341,946,
434,093,134,930,244,455,209,025,363,206,967,089,035,101,684,261,635,945,924,
646,822,517,054,956,112,032,626,542,394,685,783,659,917,939,875,072,736,702,
007,007,790,990,022,716,651,917,648,113,353,771,951,667,752,466,717,328,624,
622,695,613,356,289,663,772,336,115,604,466,407,129,225,198,102,245,589,697,
495,687,766,698,814,661,237,610,457,387,156,709,928,860,430,408,660,161,950,
900,478,443,154,296,618,215,347,451,218,133,274,220,305,944,647,055,230,531,
387,186,670,767,564,418,045,469,215,447,852,265,084,115,220,696,921,287,449,
908,767,274,664,818,677,849,610,250,437,260,086,781,956,831,313,326,097,630,
915,279,310,317,711,431,340,440,843,571,385,228,230,048,088,606,955,734,703,
206,958,429,268,186,345,848,141,521,551,813,149,319,078,384,951,233,698,177,
689,035,471,847,857,419,394,131,395,019,940,371,962,857,311,493,087,384,679,
634,061,268,358,925,242,453,184,611,577,192,315,426,606,092,825,824,436,278,
200,182,401,683,831,924,587,386,627,982,270,664,527,062,451,030,037,600,456,
890,981,026,553,758,750,541,203,900,212,931,238,306,439,484,480,609,687,045,
458,304,096,147,061,954,760,275,731,891,310,278,210,090,630,447,498,623,325,
909,924,772,468,260,406,007,995,038,447,948,850,443,370,575,056,429,090,671,
927,293,593,572,715,570,138,262,463,126,133,553,449,022,982,503,293,724,604,
557,469,962,216,858,960,566,634,952,076,298,656,571,138,696,485,125,350,286,
747,844,444,523,018,238,468,769,576,985,031,871,534,663,534,802,093,983,762,
094,309,758,003,468,812,041,378,343,723,405,247,065,585,964,596,147,413,145,
979,207,763,903,483,512,920,334,780,780,176,334,106,343,800,716,957,314,293,
954,641,219,754,658,338,661,006,855,854,812,651,277,945,959,205,200,830,181,
429,558,887,491,783,864,319,471,845,977,712,860,291,468,396,954,366,608,632,
302,029,266,663,930,091,709,194,590,944,583,620,339,678,495,185,312,694,226,
371,445,033,440,674,965,834,789,272,321,415,604,877,849,270,662,177,824,793,
168,697,470,875,321,548,671,787,899,158,318,586,850,004,986,965,141,045,535,
253,847,595,367,773,966,912,193,587,213,357,324,604,439,646,278,258,476,057,
174,171,162,464,278,942,717,702,571,724,311,582,209,213,445,356,391,093,908,
507,424,522,255,532,824,473,624,751,229,365,117,500,378,537,818,102,759,423,
894,930,621,488,905,499,747,124,617,625,381,376,728,411,325,133,425,881,489,
319,442,562,982,486,756,938,013,213,048,581,701,161,286,526,326,784,559,802,
569,729,476,966,586,337,201,145,659,340,969,504,063,077,612,715,933,714,225,
301,609,418,749,189,964,561,200,083,753,423,032,244,927,953,871,719,396,010,
683,217,858,353,255,153,693,187,310,621,530,666,928,809,116,454,558,285,723,
056,419,376,781,048,874,572,212,314,622,406,153,772,574,009,387,513,300,882,
218,396,825,792,234,405,230,697,516,908,485,567,866,017,465,268,284,618,986,
989,300,588,263,123,417,758,014,599,506,581,283,813,452,854,753,401,071,255,
531,731,077,909,934,251,094,910,747,463,699,202,456,582,663,303,334,884,012,
030,488,498,895,397,290,837,346,934,283,234,123,377,093,629,617,461,689,197,
564,785,249,537,833,749,182,469,902,277,793,427,070,137,159,176,307,572,930,
644,550,753,689,554,923,198,828,585,938,468,959,822,368,608,534,926,505,759,
474,629,375,724,274,939,193,502,974,920,222,792,993,429,716,995,844,355,541,
023,017,642,372,891,373,485,298,251,223,560,668,107,163,333,722,284,302,583,
974,618,971,542,203,894,183,140,993,611,153,074,063,945,358,101,163,986,442,
058,493,336,009,964,313,336,304,030,880,461,657,001,662,169,254,089,139,907,
568,598,988,325,876,495,838,942,604,227,344,512,605,454,764,999,640,521,308,
825,808,315,632,315,264,517,547,039,083,583,716,917,507,066,316,529,112,305,
185,427,079,931,833,339,979,636,718,126,400,056,466,901,446,104,316,899,942,
811,091,210,819,129,649,658,180,872,201,239,665,563,244,010,479,769,332,939,
055,190,750,457,276,894,426,160,994,140,068,082,485,715,623,304,058,691,821,
900,882,410,404,742,580,634,793,133,721,249,681,960,058,909,753,076,512,652,
538,155,561,266,203,155,412,952,264,372,185,565,798,758,497,910,579,064,163,
548,966,881,686,015,406,740,255,116,358,640,378,075,042,416,886,477,010,258,
745,930,282,716,337,723,172,670,777,439,162,486,461,931,213,218,895,562,482,
514,736,820,738,613,959,025,314,173,173,785,590,491,417,102,670,075,345,271,
605,980,275,152,843,430,970,158,255,722,537,498,505,897,123,914,089,301,853,
839,061,070,282,372,323,560,133,166,105,256,718,819,486,391,631,313,690,052,
662,611,562,745,781,373,221,136,275,019,271,036,919,242,998,950,043,648,748,
959,427,374,073,928,842,770,666,039,769,225,806,629,165,329,193,341,456,481,
821,389,617,080,829,448,993,363,654,274,578,352,966,312,415,287,086,863,427,
303,292,808,322,008,394,691,709,880,055,075,137,399,568,900,476,735,087,289,
643,104,836,176,923,669,590,736,228,560,001,885,771,745,498,236,434,788,532,
499,184,777,984,250,380,194,520,548,944,478,444,619,462,176,635,626,118,027,
261,024,802,192,449,383,786,938,245,151,321,670,181,625,269,807,556,233,019,
180,591,690,113,070,490,245,245,471,293,825,025,111,051,249,850,904,461,198,
038,057,403,591,817,806,858,080,117,254,498,155,416,654,573,604,819,314,476,
511,630,678,263,133,251,914,310,194,513,396,020,077,835,247,895,993,160,914,
575,248,842,214,869,457,074,082,541,888,365,561,217,170,062,242,788,469,303,
667,815,627,076,360,564,071,510,100,082,109,039,987,213,654,516,852,251,814,
719,787,285,883,777,411,834,988,603,612,488,372,203,654,824,953,919,798,000,
202,994,278,892,138,154,089,117,967,409,926,905,861,055,929,518,646,431,634,
710,511,503,742,351,522,412,816,841,148,372,515,311,504,444,385,489,946,334,
946,189,080,472,936,527,165,301,428,395,555,203,008,093,373,917,948,705,731,
363,608,772,427,792,318,108,511,470,770,432,894,445,839,205,009,490,915,631,
314,526,879,436,113,328,165,615,950,707,649,691,421,648,359,306,797,072,194,
455,587,780,579,827,972,384,249,388,039,148,910,571,730,635,839,279,508,487,
626,972,612,177,731,292,924,321,959,037,029,621,757,735,256,763,137,991,752,
758,345,161,392,481,442,068,831,561,860,269,556,015,701,413,917,172,203,355,
579,808,991,720,308,555,245,335,776,843,122,985,296,119,614,725,471,842,170,
553,199,144,834,242,071,183,907,492,955,380,931,254,451,904,094,055,026,218,
515,274,941,056,247,632,707,728,171,896,326,785,623,017,807,093,539,268,767,
296,112,465,599,125,627,178,089,672,550,945,837,333,919,972,416,826,938,394,
542,968,937,584,701,540,045,171,915,467,497,136,695,421,008,299,062,826,474,
092,452,433,698,045,221,384,297,471,777,101,973,496,561,203,911,090,101,426,
089,383,779,248,729,218,085,593,587,095,347,715,618,371,851,104,342,950,910,
597,790,092,867,557,222,646,901,470,194,564,078,875,406,686,317,332,029,492,
935,672,333,303,714,133,573,369,221,044,995,047,170,466,101,574,435,056,288,
178,445,809,103,476,915,679,123,336,115,303,161,378,081,662,160,292,612,696,
154,883,155,299,617,163,375,283,747,241,406,626,110,149,033,823,258,723,273,
651,739,059,634,209,750,927,375,226,221,866,031,119,362,532,558,092,121,665,
240,735,619,612,335,665,627,258,470,603,373,074,910,688,934,720,479,178,761,
090,285,371,517,577,835,586,556,105,946,959,300,100,167,854,533,849,429,746,
474,241,646,169,261,673,874,323,756,408,413,071,880,423,777,357,614,117,274,
828,538,505,154,536,437,430,580,077,926,526,834,530,229,232,198,392,570,828,
569,632,111,399,161,574,986,483,496,474,750,304,082,895,872,994,383,395,193,
232,099,302,617,180,007,169,927,102,379,598,121,174,807,787,909,023,148,623,
751,865,223,582,221,859,114,488,880,256,077,886,025,042,475,204,863,656,502,
586,204,433,460,234,944,664,425,591,618,975,443,656,174,270,218,965,811,432,
495,774,758,525,635,669,506,198,803,687,496,908,790,681,908,296,486,058,479,
885,019,170,757,733,354,305,795,288,305,559,844,425,816,046,469,763,819,690,
979,464,403,309,514,832,311,309,169,633,451,770,862,158,690,051,032,914,990,
492,854,503,138,543,449,540,735,610,158,319,582,117,097,796,157,261,156,226,
562,881,783,508,956,265,307,453,984,915,533,918,842,441,383,395,259,713,119,
022,654,955,863,521,088,469,887,542,531,326,536,256,436,865,322,666,217,860,
700,437,433,162,276,952,869,764,427,863,624,603,722,006,033,508,713,839,176,
933,856,744,804,113,872,035,638,338,723,027,602,603,341,314,730,731,102,968,
901,137,874,268,955,478,095,617,035,029,809,562,592,205,144,698,198,701,393,
931,197,837,273,671,625,309,927,427,689,139,942,504,143,225,344,680,394,014,
627,689,362,064,032,303,188,901,240,410,333,485,837,522,659,319,204,230,675,
935,979,603,326,797,222,339,165,864,105,426,533,342,245,282,272,504,569,606,
716,754,302,312,307,911,763,492,023,825,424,660,043,707,300,768,127,646,332,
168,320,840,292,461,616,831,428,033,084,602,200,434,184,414,778,064,867,844,
742,785,751,064,918,617,665,755,012,184,117,560,581,561,136,818,066,971,516,
037,119,278,367,972,654,232,662,272,183,927,931,430,418,223,367,024,467,689,
504,825,954,889,370,278,244,546,819,428,432,218,331,799,574,274,317,733,429,
715,789,191,701,980,867,067,575,395,534,167,021,624,482,009,354,506,172,159,
439,961,992,688,512,188,039,314,308,281,908,870,860,978,579,249,515,672,433,
101,024,238,017,615,077,253,528,903,486,429,637,911,052,476,299,748,180,620,
855,910,735,606,636,586,853,911,738,597,091,423,675,525,812,895,472,938,064,
385,297,971,334,646,306,179,292,467,183,348,362,413,229,598,955,913,657,400,
076,166,023,061,506,011,566,793,542,111,937,985,728,566,138,478,547,902,286,
832,661,962,833,011,366,119,494,061,037,584,217,969,556,269,253,373,578,074,
011,113,302,151,502,704,797,800,052,787,463,812,796,985,692,995,601,486,861,
582,465,125,025,373,141,362,381,480,653,660,953,235,982,099,243,648,898,848,
705,797,877,359,397,923,996,558,814,035,651,814,436,074,555,043,315,843,810,
646,905,952,689,708,150,498,100,723,437,403,206,177,068,972,330,399,488,890,
393,796,648,889,986,462,137,123,449,501,379,195,656,083,416,351,744,318,104,
159,003,786,186,050,182,786,038,400,547,088,803,267,336,475,433,917,192,816,
227,280,702,721,610,536,094,139,869,830,553,361,878,473,190,954,754,170,792,
844,254,252,482,906,515,480,637,741,025,726,957,790,943,795,049,001,207,913,
386,860,752,144,868,895,359,421,820,529,333,671,690,038,749,267,290,619,119,
999,123,579,627,656,808,441,213,588,297,981,673,671,726,101,445,225,520,645,
463,766,246,887,461,160,555,206,255,756,711,849,734,309,875,122,251,381,186,
242,234,698,113,017,379,133,340,242,624,921,153,174,368,115,386,900,547,460,
581,219,684,098,333,581,473,983,592,654,440,485,793,456,072,689,486,719,739,
054,913,871,252,663,708,607,462,406,262,044,608,681,308,417,940,328,487,257,
824,111,608,047,092,445,939,781,597,190,765,753,043,416,237,579,535,115,042,
436,019,495,990,513,760,384,165,827,257,353,784,763,732,588,432,997,700,339,
492,039,263,187,556,168,111,499,063,446,760,306,114,984,187,320,161,795,342,
217,554,326,883,091,694,659,748,690,302,537,372,653,585,028,870,601,610,911,
558,149,380,031,724,089,882,662,110,023,232,483,226,426,370,241,015,155,405,
115,507,151,441,115,483,748,783,874,269,215,248,137,111,620,636,331,633,615,
236,498,571,517,527,059,999,832,029,999,382,866,410,703,926,623,252,416,106,
514,251,208,293,179,332,650,244,256,429,591,572,776,249,210,885,603,831,032,
063,323,570,503,838,017,929,422,508,358,738,287,296,046,560,740,030,185,987,
706,486,585,392,844,324,393,417,637,409,188,926,632,884,007,644,529,641,607,
896,912,666,768,174,457,639,310,427,120,533,298,291,039,739,873,079,028,237,
699,446,938,741,831,893,853,550,633,284,308,277,232,770,279,661,468,880,487,
016,968,066,736,985,392,674,903,297,011,586,511,692,886,687,945,994,890,557,
006,636,416,734,618,218,882,105,441,365,742,553,355,940,532,266,342,268,954,
957,047,968,692,608,925,111,102,312,307,509,827,619,396,475,543,059,792,127,
039,385,899,794,652,904,435,266,196,528,490,089,135,174,213,177,114,779,072,
874,524,201,612,961,434,336,022,689,310,576,176,457,286,720,338,266,978,464,
783,237,877,915,774,766,210,845,314,545,614,846,636,928,978,263,024,179,857,
979,121,174,569,847,650,300,797,974,411,399,901,898,703,196,778,258,195,744,
038,701,159,714,065,871,814,163,136,237,134,910,893,757,761,169,140,907,767,
237,590,601,901,167,811,499,612,947,505,690,261,281,952,169,580,807,837,205,
718,540,533,343,306,315,193,088,333,985,146,288,450,652,819,418,602,883,806,
492,780,477,925,247,498,629,098,362,689,853,258,429,345,806,517,392,356,748,
698,250,706,973,753,882,999,306,773,552,007,942,899,300,266,723,295,263,701,
916,542,110,872,585,064,358,064,474,129,792,064,717,003,637,003,527,519,485,
011,563,043,192,694,884,327,470,592,378,739,086,088,150,508,751,966,284,912,
380,130,413,672,428,816,896,736,906,514,615,278,811,660,577,168,481,181,780,
556,157,781,888,258,056,994,734,848,711,308,726,097,523,800,872,194,586,321,
015,274,465,212,881,664,461,326,603,318,173,786,603,015,947,726,664,379,858,
661,606,629,997,959,010,501,819,595,571,137,413,384,382,534,155,424,246,888,
355,488,310,218,805,962,886,642,891,274,310,226,607,994,197,568,884,074,638,
271,200,930,360,800,178,572,461,343,149,574,511,649,593,193,459,325,345,620,
341,211,255,939,912,677,638,759,192,042,769,740,199,048,511,700,217,050,012,
838,990,881,595,724,461,557,601,746,658,041,326,053,132,420,528,154,726,284,
737,058,589,539,019,693,215,244,991,238,784,155,358,730,349,691,813,610,350,
984,606,173,071,640,190,592,475,748,258,345,980,039,355,945,620,223,733,860,
608,522,583,260,630,590,941,577,482,135,535,661,750,587,027,474,139,028,876,
958,129,358,818,364,304,040,684,382,392,807,925,950,179,248,500,889,893,937,
696,405,461,034,101,606,642,141,240,880,323,602,020,078,014,277,314,106,003,
434,711,372,625,504,428,494,219,968,744,287,419,016,472,812,240,157,799,898,
575,203,362,463,530,315,678,631,999,597,048,653,556,366,539,336,495,546,147,
304,428,477,752,353,851,296,596,710,322,295,324,132,598,103,898,246,416,651,
620,008,481,329,079,227,013,354,215,727,344,125,029,126,677,841,638,152,061,
851,536,469,902,162,798,539,659,847,188,798,138,054,432,977,622,858,306,839,
070,943,674,028,091,492,028,845,782,722,288,438,936,316,633,085,557,001,050,
040,164,084,136,254,231,934,206,610,121,169,814,576,964,578,071,289,387,909,
465,572,264,819,683,628,751,140,329,848,819,485,358,125,092,285,473,596,753,
011,810,481,580,664,349,873,933,642,817,864,718,761,053,344,408,255,897,578,
826,160,685,610,776,948,759,934,315,166,878,127,708,570,022,809,387,172,524,
318,944,111,367,462,360,548,724,645,709,275,300,197,051,534,821,248,927,160,
948,167,245,318,261,366,226,984,467,841,979,106,882,967,803,185,253,964,201,
040,041,952,763,225,861,103,297,768,366,680,999,719,061,768,898,313,349,751,
222,297,777,599,919,192,280,436,943,490,465,525,017,957,776,077,072,846,244,
919,683,253,622,235,378,417,669,723,454,584,430,516,921,844,262,703,023,151,
045,511,728,435,760,590,838,667,491,614,878,996,531,377,432,178,021,874,249,
959,719,740,621,211,084,256,700,109,375,935,213,577,878,340,832,450,115,478,
819,743,643,039,719,390,494,831,787,963,486,690,934,149,079,937,954,549,894,
790,861,668,349,297,791,554,686,017,817,798,711,388,506,981,158,897,466,181,
543,054,625,627,392,493,242,357,782,989,212,190,124,218,657,684,491,648,338,
063,198,599,343,987,637,690,066,128,341,428,537,984,095,591,269,362,110,674,
838,971,867,266,240,631,537,057,421,361,580,311,916,537,535,888,752,899,468,
914,365,459,526,851,860,792,891,001,992,106,241,451,218,315,696,995,586,451,
313,762,094,149,935,907,754,334,204,786,930,201,122,323,946,522,782,360,946,
094,036,541,737,717,880,856,874,112,188,712,368,005,048,075,836,985,108,507,
763,831,677,648,751,848,575,489,656,997,034,781,453,874,936,272,643,694,719,
834,928,740,565,707,590,883,590,620,517,200,142,846,887,032,504,005,440,919,
918,018,999,545,394,591,760,836,327,608,584,116,808,466,894,695,599,989,875,
901,017,575,482,477,140,423,553,403,002,731,992,771,303,285,950,982,852,420,
425,262,813,181,071,632,075,708,747,881,415,812,094,395,680,464,939,699,054,
154,680,888,966,630,352,751,314,064,923,174,540,099,725,122,920,853,380,381,
221,524,645,547,534,432,215,203,784,782,813,587,332,651,346,506,658,196,408,
943,902,981,536,552,920,820,236,282,724,036,603,420,073,794,823,981,165,676,
492,565,832,073,181,537,445,798,987,227,322,433,546,322,290,939,902,401,520,
810,295,535,916,268,184,522,309,391,550,882,525,422,361,595,452,290,302,871,
741,245,040,370,569,375,927,112,827,325,063,346,728,391,104,428,107,849,636,
105,141,824,683,266,782,905,082,556,092,081,792,448,648,929,743,857,735,230,
270,192,569,451,257,159,558,184,696,289,431,619,338,257,481,693,124,009,211,
778,227,841,879,888,581,040,501,045,528,769,762,743,026,040,958,126,558,641,
922,488,650,903,336,852,805,759,964,920,683,340,319,813,197,791,356,224,262,
702,432,409,270,991,365,475,847,033,701,068,059,639,254,945,316,430,592,315,
042,360,408,062,339,142,188,368,271,649,737,225,740,754,042,062,240,328,215,
918,491,718,133,167,946,271,027,699,035,304,366,604,132,125,767,996,870,250,
025,970,149,836,854,897,257,811,305,852,662,034,837,532,024,404,563,174,578,
733,131,184,564,741,013,133,976,280,296,941,835,116,696,020,036,255,718,449,
200,376,928,879,917,208,468,161,703,781,718,678,883,731,389,627,815,383,875,
850,478,715,446,574,459,394,247,293,407,616,301,603,806,365,838,523,662,099,
615,996,326,336,356,519,251,475,971,927,980,556,846,452,284,570,569,450,341,
469,567,887,918,170,264,315,240,015,673,179,934,809,064,633,303,141,420,205,
853,977,196,681,280,767,092,499,286,992,841,358,839,874,060,939,998,471,711,
382,701,062,488,427,625,888,628,034,064,212,339,989,780,307,357,864,633,348,
350,332,199,266,668,191,056,294,316,292,704,680,248,098,712,035,581,040,907,
603,507,658,091,974,947,614,082,146,729,925,128,452,019,046,342,184,713,746,
455,010,876,937,817,789,392,086,275,730,670,905,845,560,325,520,575,321,373,
529,052,411,781,761,601,636,136,034,410,392,501,960,197,237,115,624,292,292,
307,091,747,519,471,672,305,510,695,706,054,819,676,446,505,452,054,639,228,
872,803,515,902,299,559,003,758,067,657,117,168,745,202,251,515,062,070,274,
840,960,255,435,622,444,789,475,423,025,341,259,356,696,207,714,436,381,128,
881,797,668,790,522,906,995,210,347,100,772,494,543,625,533,338,436,986,097,
707,483,289,931,362,590,999,737,766,222,704,396,477,210,054,209,832,482,919,
233,804,206,634,507,028,122,333,203,149,718,315,910,622,517,655,763,252,672,
326,450,368,547,123,031,211,788,645,386,044,122,850,513,432,478,670,634,339,
632,179,815,946,644,330,893,088,520,396,127,913,534,474,559,130,424,319,975,
865,287,247,112,142,148,630,773,412,892,462,771,118,789,395,622,704,952,171,
530,397,215,970,855,420,028,915,750,154,322,402,964,927,813,108,604,301,610,
163,418,475,763,203,632,728,821,041,130,524,108,690,395,331,754,861,964,143,
676,882,767,386,415,011,074,536,622,538,702,635,586,316,046,457,618,152,830,
281,235,218,935,972,428,451,810,181,524,313,760,972,190,520,520,072,008,255,
306,543,143,552,794,306,568,862,731,219,722,329,579,191,035,794,852,236,877,
085,923,525,518,638,912,781,017,596,663,328,121,819,224,541,838,140,417,430,
203,769,581,364,567,618,304,601,758,503,584,966,215,070,236,346,170,945,423,
865,836,251,691,872,273,273,974,408,269,363,602,969,549,558,559,732,208,922,
104,581,748,717,158,215,572,164,974,669,749,591,900,224,310,572,522,823,188,
734,601,016,065,252,954,131,945,425,218,817,474,498,360,503,383,995,817,935,
883,246,984,120,594,133,486,941,909,575,057,537,950,866,159,528,215,373,699,
829,950,028,333,075,733,794,324,524,902,785,369,179,443,244,929,016,921,395,
769,938,811,468,020,693,622,268,327,705,331,941,564,851,233,934,157,785,854,
285,987,696,264,023,905,074,545,811,636,529,138,225,374,092,473,335,845,695,
489,567,402,384,243,525,374,135,713,639,965,138,842,177,619,741,004,345,763,
027,253,776,124,010,748,741,976,131,448,557,529,273,158,169,088,867,702,758,
184,638,915,788,638,288,554,181,004,001,905,683,468,926,142,387,577,189,070,
929,124,750,234,919,044,355,645,413,072,781,851,574,269,521,380,282,541,804,
050,039,635,509,776,427,796,989,707,659,401,881,708,920,574,124,493,634,204,
231,122,748,523,737,619,554,143,112,212,227,770,655,176,187,377,506,960,543,
042,080,413,477,067,950,782,107,261,588,530,856,003,088,870,974,133,531,767,
303,771,588,702,733,039,906,421,725,707,155,155,873,415,937,298,990,444,384,
722,021,766,094,375,084,142,460,400,666,760,636,775,546,247,484,333,767,342,
285,322,442,349,848,809,871,694,376,993,583,166,000,400,795,182,228,206,460,
852,618,258,924,961,082,284,037,900,668,024,428,663,541,651,308,337,170,495,
281,884,422,182,985,690,106,000,377,774,181,689,893,779,648,586,209,077,668,
835,517,913,880,639,881,049,490,126,545,983,454,891,624,355,658,523,670,887,
976,014,726,475,685,262,681,420,947,180,935,460,178,264,173,323,982,222,836,
894,316,146,395,132,042,214,939,602,511,383,175,374,447,802,877,802,435,160,
039,207,246,983,518,033,578,658,171,474,176,660,235,843,918,553,708,106,674,
723,911,069,101,353,109,343,952,386,631,312,591,854,026,221,453,221,811,362,
796,871,806,129,287,089,137,071,272,180,552,144,641,684,341,985,543,291,753,
406,569,320,878,691,954,524,036,393,400,144,078,783,644,045,210,246,697,856,
517,048,921,762,091,731,562,538,493,233,449,705,212,308,421,296,748,695,892,
230,881,604,259,006,089,221,486,446,290,031,239,600,007,139,566,019,693,228,
483,529,410,191,371,968,942,570,300,003,087,612,464,137,391,577,063,378,572,
395,634,674,456,850,239,023,226,493,099,270,278,221,987,370,295,328,400,768,
181,591,155,888,790,536,747,979,925,668,078,896,931,404,325,127,867,951,173,
454,046,110,044,399,386,343,010,624,866,266,633,577,452,025,594,329,175,908,
206,861,518,755,027,016,353,646,267,214,566,536,677,283,628,058,758,254,917,
964,594,927,409,268,227,613,836,546,725,729,706,965,160,148,334,961,091,408,
157,558,236,819,521,024,377,637,276,134,653,444,808,373,432,005,839,449,734,
691,534,295,145,480,722,666,876,094,081,692,973,185,103,887,932,062,130,354,
898,875,060,922,111,959,245,860,328,349,395,886,428,250,140,383,228,799,234,
521,965,304,976,175,344,719,414,951,574,485,618,668,267,070,948,274,495,862,
860,878,783,931,636,153,153,625,711,377,887,919,829,524,457,971,549,057,286,
338,974,953,673,194,077,630,190,115,243,831,681,860,679,619,365,500,048,350,
138,453,249,677,284,432,945,597,444,767,610,816,849,052,125,007,489,003,243,
046,702,710,586,741,740,414,819,401,248,567,469,826,944,168,638,635,849,986,
194,486,848,269,740,302,535,737,656,494,352,623,309,592,005,616,360,201,318,
219,486,981,216,320,018,294,755,903,799,362,432,426,085,148,726,820,191,937,
281,311,945,888,042,548,819,588,470,354,986,416,818,280,615,073,280,825,837,
664,522,082,607,026,023,269,141,028,213,928,901,677,457,612,898,890,963,430,
890,539,341,928,758,170,977,409,760,363,129,641,672,945,756,949,503,578,526,
098,065,160,448,466,046,801,632,861,529,437,804,380,394,242,065,483,118,123,
231,025,705,853,416,706,165,750,263,009,768,144,981,866,008,036,168,108,761,
465,578,847,265,294,014,365,863,880,012,393,635,251,934,145,945,256,067,425,
217,719,778,919,450,798,690,975,493,452,888,096,421,202,607,519,168,669,139,
760,274,207,292,548,113,216,887,068,965,569,590,843,487,885,374,936,892,764,
616,727,991,458,983,652,753,762,146,798,070,987,461,555,250,578,455,416,953,
225,964,696,663,471,940,383,673,821,884,189,958,622,830,530,408,984,883,793,
665,332,897,807,308,899,202,299,813,329,379,874,370,183,008,393,769,821,499,
077,271,279,047,781,561,035,847,787,449,832,903,121,613,064,411,372,388,136,
631,605,816,092,544,157,274,479,992,548,610,764,204,854,263,576,728,332,013,
852,470,900,607,132,856,908,318,066,760,951,821,690,076,326,016,679,881,513,
604,554,132,982,756,955,763,202,402,115,215,407,187,916,541,204,490,438,726,
458,920,173,535,116,448,480,850,698,324,623,315,456,910,340,882,214,789,387,
904,933,851,398,965,854,870,938,929,181,745,687,140,884,174,761,090,066,599,
996,469,533,201,945,305,189,626,836,129,130,049,795,024,108,713,826,170,757,
243,499,558,484,815,682,342,828,458,979,884,729,449,151,466,362,619,942,046,
198,382,848,745,695,685,732,653,147,116,774,373,182,551,638,496,606,142,488,
716,124,125,108,710,728,548,924,481,194,070,200,107,655,511,290,898,917,218,
114,238,954,897,564,883,488,172,065,375,299,050,833,413,010,486,640,549,525,
897,692,811,197,968,500,294,562,010,348,364,122,696,114,627,606,628,248,465,
568,328,449,622,262,943,376,549,547,465,634,444,243,669,856,767,187,851,615,
906,442,133,097,418,538,854,305,730,641,609,521,510,286,248,713,766,115,119,
546,140,736,199,566,213,576,416,537,408,683,848,919,275,066,201,734,764,113,
340,268,349,201,978,776,862,629,299,100,816,300,137,716,944,948,188,304,253,
735,642,978,787,098,169,436,253,967,082,420,031,547,800,977,434,800,770,360,
525,904,414,590,870,335,787,790,592,817,023,185,247,680,164,560,258,094,708,
740,834,921,106,415,081,368,202,809,305,706,318,854,065,744,525,008,977,821,
101,852,430,474,373,077,355,192,184,309,513,869,571,107,060,216,868,168,406,
950,410,661,886,201,800,538,723,237,607,064,311,221,237,391,383,962,396,928,
534,231,189,241,521,721,201,686,017,760,116,046,176,532,731,426,994,288,803,
946,637,622,334,633,102,162,190,550,847,001,189,706,083,075,202,482,797,855,
870,671,912,224,515,081,255,694,033,433,697,752,424,608,816,693,457,252,656,
440,786,115,955,449,019,431,991,506,969,230,761,322,227,646,664,771,911,527,
790,042,679,466,465,724,022,346,167,443,734,072,871,536,699,752,636,151,536,
431,234,261,553,167,940,075,579,859,815,514,162,813,970,638,356,270,677,381,
908,465,862,976,335,224,745,522,299,960,075,162,392,812,743,860,734,320,549,
507,311,697,507,710,651,759,940,694,417,946,272,322,249,413,966,738,278,013,
021,939,916,729,414,475,775,749,819,788,896,020,608,740,519,309,316,378,444,
089,669,918,466,905,675,726,323,356,172,334,246,628,742,774,638,125,742,468,
609,643,807,634,202,249,077,125,688,682,003,914,287,328,538,671,277,421,332,
823,612,844,631,539,992,933,549,627,300,209,433,813,572,959,127,957,881,852,
390,853,017,869,677,147,646,180,509,778,079,168,999,815,385,484,652,178,880,
983,338,661,379,106,006,477,541,925,053,846,583,623,870,146,374,481,076,440,
326,510,926,403,917,800,568,721,960,082,432,881,878,045,985,766,873,124,423,
293,178,784,054,708,587,809,792,815,039,903,482,702,274,487,115,493,072,867,
632,088,326,925,160,146,122,303,315,625,469,008,086,542,728,007,918,935,843,
327,723,806,014,909,731,251,960,630,799,943,885,288,510,059,774,091,697,222,
263,227,884,925,588,180,527,460,008,128,729,422,075,247,992,141,982,596,968,
156,111,191,058,656,306,901,336,181,438,571,910,540,286,256,842,327,233,570,
555,584,856,410,580,432,349,687,612,992,809,027,899,285,907,083,617,533,627,
104,578,906,384,250,900,900,196,444,542,420,865,580,546,845,897,011,405,057,
396,175,551,269,726,368,757,563,206,985,532,779,794,371,142,946,804,717,587,
593,188,024,161,395,452,340,320,157,079,577,521,622,952,632,096,854,563,179,
062,970,218,286,472,948,338,920,665,068,079,992,679,018,189,227,462,094,769,
959,266,199,149,958,119,961,654,523,998,282,915,460,493,359,804,230,023,483,
505,548,739,574,968,217,638,855,344,755,940,268,806,153,257,153,782,408,054,
034,477,199,068,657,774,015,943,086,840,544,440,069,177,751,029,500,443,295,
911,654,825,507,557,072,135,606,250,356,812,709,285,467,070,618,418,481,768,
480,458,485,689,087,455,724,126,711,063,380,890,140,883,599,040,397,218,278,
472,327,481,316,156,942,781,730,387,981,983,183,962,297,035,062,852,883,572,
424,957,109,853,425,060,980,317,355,833,864,234,961,352,886,564,866,759,772,
566,835,017,808,544,982,417,175,180,360,932,136,895,908,303,292,900,406,204,
686,907,671,190,405,529,344,007,175,441,738,191,004,682,443,945,039,988,551,
613,382,668,209,397,387,411,505,771,500,286,256,332,539,776,691,957,744,165,
916,648,031,319,541,696,565,036,964,725,818,472,324,430,389,013,733,976,440,
188,735,448,904,443,880,360,086,395,172,552,284,265,957,410,136,641,408,778,
454,269,267,079,465,511,509,406,617,333,061,248,497,518,247,515,807,223,291,
106,390,482,001,418,200,511,360,064,930,719,349,825,713,978,650,188,970,465,
063,151,001,104,279,502,720,683,911,254,016,459,128,468,202,971,213,933,067,
324,329,565,772,500,362,863,039,621,874,281,996,887,293,811,617,861,551,482,
354,328,382,708,800,979,413,877,530,405,975,164,114,948,351,898,271,176,663,
600,397,740,709,917,457,630,421,322,817,301,926,551,361,950,191,904,998,347,
542,535,917,336,630,136,519,833,372,741,645,644,796,070,670,459,684,677,026,
133,444,968,735,874,778,738,930,804,570,981,137,749,345,215,090,916,712,832,
699,865,343,952,420,054,729,293,597,580,928,901,757,430,722,173,238,490,066,
093,101,660,236,927,348,541,819,083,179,234,076,214,802,507,310,551,669,615,
759,179,829,045,732,737,048,765,745,774,055,066,040,170,332,188,670,882,283,
155,444,906,929,765,294,796,528,563,183,265,609,081,489,508,750,557,595,671,
400,505,645,500,246,564,286,202,658,545,714,041,238,720,977,718,352,503,172,
039,045,088,030,258,014,297,139,153,995,680,650,311,333,639,051,012,339,384,
268,574,459,881,186,551,703,832,802,537,226,312,206,643,337,749,602,638,889,
181,418,093,522,398,371,528,691,806,146,601,491,334,320,227,027,159,564,275,
666,627,873,433,830,360,281,320,279,553,754,084,974,041,208,682,402,864,806,
468,597,410,611,234,025,962,531,330,809,492,464,680,386,417,027,846,348,458,
395,849,576,318,619,196,768,934,781,105,893,908,047,690,368,913,579,192,509,
446,487,741,176,742,378,855,449,106,606,404,556,738,167,872,167,115,416,324,
476,302,963,429,969,113,972,076,569,378,921,044,970,619,994,386,910,375,019,
637,153,491,563,219,751,083,421,074,239,423,673,090,779,636,439,324,365,130,
571,074,295,279,528,226,258,826,894,620,248,935,688,409,630,400,344,914,228,
269,291,992,187,340,587,647,149,645,493,428,224,236,702,693,884,266,568,896,
328,132,743,951,091,247,330,560,293,813,684,955,274,570,931,393,741,639,944,
946,836,693,337,141,581,561,275,528,136,427,639,633,489,093,380,996,893,897,
742,817,785,664,712,372,863,843,044,870,967,913,591,679,367,510,300,107,407,
881,635,439,081,605,295,655,124,808,305,929,158,939,060,073,200,783,496,474,
081,324,160,659,573,721,107,180,831,016,161,990,973,754,756,878,795,701,216,
810,449,168,311,774,782,091,961,548,097,014,038,507,014,064,362,140,713,437,
805,768,239,940,556,105,721,463,972,909,558,533,621,208,409,222,354,051,468,
660,242,382,738,215,538,186,694,345,822,761,011,202,230,787,621,044,562,962,
036,601,386,769,561,831,333,182,067,403,644,650,278,093,804,646,733,847,325,
378,052,398,764,656,346,077,720,500,582,724,730,710,147,087,184,233,946,738,
496,264,083,008,766,257,886,984,426,765,708,750,222,882,236,674,505,227,816,
561,909,924,092,318,581,282,186,079,601,985,262,082,536,932,674,120,393,356,
263,136,549,005,505,998,288,336,142,417,108,121,959,378,380,125,649,257,791,
161,281,472,926,751,313,915,422,458,034,791,200,282,821,737,295,899,149,884,
011,326,947,787,960,571,134,895,252,364,506,702,693,179,014,593,141,765,636,
111,814,221,258,174,192,609,509,702,044,617,756,893,441,270,487,761,096,201,
464,558,474,715,494,216,944,177,693,981,364,833,285,409,637,945,822,319,946,
308,861,664,317,511,449,454,309,584,073,827,411,364,065,324,858,470,327,915,
348,241,201,565,292,319,795,852,782,815,760,905,838,160,435,771,650,765,776,
383,248,394,175,367,708,723,059,350,145,785,134,576,687,221,226,944,940,704,
030,928,889,497,794,539,378,878,822,892,901,484,273,069,628,339,115,634,275,
307,144,116,476,582,157,461,093,965,449,438,502,246,213,860,049,130,869,048,
605,371,079,155,596,316,963,943,056,732,743,630,389,432,572,063,002,049,620,
191,994,079,571,347,054,716,884,005,855,139,972,876,245,685,896,321,628,724,
166,111,677,735,768,363,488,430,587,234,815,685,671,170,673,168,219,395,100,
712,933,606,636,509,573,140,178,198,317,721,001,383,103,036,419,121,160,229,
918,648,976,761,160,477,093,506,736,862,004,880,923,125,788,090,109,640,254,
377,206,953,412,180,853,743,783,357,543,877,147,936,528,652,510,419,135,905,
269,937,619,147,835,355,635,467,473,502,161,425,809,941,031,046,432,542,613,
307,994,686,752,714,531,987,889,689,865,951,557,591,535,812,717,351,857,377,
960,815,216,930,504,586,123,418,957,131,768,897,563,972,206,371,109,438,519,
830,949,154,745,008,643,346,388,227,641,957,053,530,847,484,432,075,271,223,
032,341,610,669,605,042,184,883,318,671,427,675,632,876,706,605,992,852,230,
178,379,195,867,825,706,087,690,616,384,111,543,541,619,754,840,146,124,197,
245,754,597,053,435,302,819,860,847,952,056,279,708,800,632,914,217,291,859,
998,110,215,725,303,065,518,975,024,119,172,827,025,568,206,565,664,154,772,
823,728,628,178,859,132,045,538,553,748,131,911,374,189,066,770,795,244,038,
622,331,002,930,807,319,022,916,577,599,135,680,045,983,939,791,514,554,250,
454,491,023,172,149,164,039,950,801,137,879,399,010,015,628,033,553,782,166,
261,372,785,824,410,003,461,285,319,504,056,523,813,042,500,053,359,728,591,
803,398,576,498,391,104,212,529,158,209,635,446,626,889,850,981,459,634,863,
164,324,505,653,680,127,367,622,489,066,010,057,930,880,913,766,340,676,459,
891,049,836,972,737,932,128,240,640,484,927,054,698,857,292,444,203,432,892,
142,536,532,358,652,107,473,360,423,127,019,117,119,237,632,429,076,984,506,
073,896,254,807,964,386,892,291,656,928,704,155,838,531,148,740,060,259,194,
693,958,838,053,516,181,241,730,473,694,247,503,766,469,020,080,929,945,321,
512,599,922,719,898,984,579,093,452,579,047,139,905,049,100,795,154,379,005,
791,524,198,836,671,367,692,772,312,408,438,769,854,521,821,386,037,247,385,
323,279,655,645,255,459,372,445,436,752,934,146,457,969,112,791,601,879,349,
373,166,354,654,080,387,518,598,899,201,984,944,116,524,704,196,885,928,335,
822,720,568,521,267,978,558,378,655,537,289,293,134,320,291,771,171,260,062,
924,661,270,529,594,457,693,983,946,087,222,856,803,401,111,645,583,492,080,
815,424,420,549,831,870,473,800,358,228,973,418,174,271,637,414,610,486,520,
744,474,791,341,538,551,171,990,838,564,577,948,386,001,289,809,624,324,008,
605,035,290,047,894,138,602,041,696,951,504,614,937,266,188,871,986,852,862,
986,914,100,384,464,246,020,631,120,297,248,500,973,600,171,688,261,702,285,
672,800,103,466,621,660,108,348,567,506,460,916,003,782,707,174,985,943,468,
656,493,642,235,831,788,412,581,073,214,462,977,313,084,980,896,256,304,904,
415,365,010,095,770,823,835,285,830,590,401,983,104,524,549,892,966,625,202,
290,066,667,052,300,366,864,787,305,860,027,449,047,217,950,994,946,018,284,
455,078,317,163,827,415,495,043,805,356,868,928,569,192,171,010,904,005,173,
723,485,385,856,082,553,462,323,254,617,973,368,997,228,797,240,876,008,569,
408,851,763,737,499,979,663,290,414,283,343,596,066,930,239,412,925,354,592,
214,521,640,665,343,833,397,359,253,522,029,866,978,578,298,241,130,485,992,
525,224,520,546,002,056,836,013,743,605,114,109,281,814,943,112,451,038,333,
279,877,412,803,441,270,775,962,664,494,332,557,879,082,478,055,792,032,811,
810,680,346,301,673,935,895,932,826,087,803,414,467,955,211,403,451,256,086,
886,214,993,194,485,175,701,483,054,609,139,816,233,452,376,531,953,616,175,
922,122,316,678,796,561,268,021,868,341,164,376,397,776,933,187,704,040,751,
998,954,571,297,686,106,213,025,278,268,337,368,570,308,070,888,400,655,762,
830,058,754,198,770,030,670,781,421,917,724,359,808,497,870,703,163,202,715,
537,213,692,980,100,843,046,584,739,610,323,333,018,326,261,944,248,085,385,
363,148,419,736,647,993,779,085,399,371,610,820,577,635,152,982,360,706,638,
677,029,381,940,201,521,535,347,415,133,671,649,136,993,719,910,068,645,429,
020,657,358,595,064,615,203,509,440,577,788,075,046,604,304,634,829,304,062,
264,497,060,069,298,480,661,032,397,540,327,257,021,585,261,051,788,514,294,
256,095,351,140,113,237,159,727,771,242,625,280,998,059,198,979,853,215,873,
741,618,711,597,131,857,034,584,082,215,495,170,676,325,753,038,468,334,732,
720,096,418,754,894,912,913,194,473,562,745,788,612,218,445,638,497,739,910,
751,801,077,379,030,803,487,741,943,122,780,583,914,314,531,930,718,906,136,
698,144,553,995,667,540,264,606,741,547,653,227,024,771,109,867,977,651,652,
620,958,293,395,917,031,794,881,931,980,814,378,481,965,046,693,418,422,246,
815,511,129,016,827,345,469,065,130,656,280,575,062,066,321,787,748,340,122,
415,035,398,751,427,159,740,845,837,477,776,686,326,459,337,012,495,234,786,
867,575,668,944,025,540,150,523,180,538,318,649,311,303,951,971,216,244,257,
331,180,287,109,014,881,431,036,507,035,698,389,107,114,669,121,918,326,130,
711,399,022,174,274,201,696,761,801,221,577,980,326,081,330,181,630,125,865,
611,649,132,480,537,265,814,044,245,634,257,729,254,374,129,532,347,242,080,
758,084,167,208,728,363,299,024,923,433,959,637,350,927,137,506,977,389,499,
608,481,895,330,173,979,628,930,096,932,045,483,155,781,805,787,474,375,329,
585,955,400,602,508,734,818,784,977,107,447,604,233,657,247,760,454,865,399,
791,141,578,426,265,329,060,320,906,534,644,885,739,775,183,619,141,276,882,
413,106,623,621,285,775,270,371,030,734,514,632,603,920,043,237,238,577,179,
458,653,975,181,016,940,720,747,631,039,166,018,797,099,627,249,553,026,755,
802,539,959,050,293,188,675,625,837,241,914,329,043,171,279,267,758,324,106,
919,485,905,501,325,671,930,015,673,544,847,451,151,220,894,796,726,877,428,
306,815,600,555,319,699,796,259,036,444,291,839,159,120,672,202,206,455,874,
021,010,535,588,322,990,630,715,179,495,468,654,196,517,663,353,974,625,511,
111,356,749,100,923,303,921,560,282,638,637,662,109,864,649,798,339,642,430,
733,688,291,455,066,005,836,714,039,399,634,073,677,828,306,277,090,295,755,
475,567,135,398,522,377,358,315,043,675,113,356,228,387,312,890,715,871,075,
802,999,499,955,200,967,075,510,499,772,832,740,157,934,716,189,786,005,069,
003,736,263,539,334,973,875,776,613,022,657,539,805,455,082,201,071,984,003,
174,675,210,353,459,013,578,958,547,487,769,706,438,372,708,763,844,433,605,
258,962,867,986,014,055,584,947,329,565,938,170,192,279,810,688,303,524,395,
052,173,863,855,826,238,412,797,129,675,896,654,505,786,942,705,021,025,296,
751,815,095,555,482,185,806,010,262,098,983,077,123,890,223,900,721,498,565,
515,703,358,161,935,232,901,956,182,180,466,956,549,814,982,320,594,004,552,
890,289,180,122,519,848,463,033,265,459,113,983,420,847,650,711,427,217,715,
304,130,225,167,675,515,439,097,854,289,659,080,967,313,378,895,566,723,132,
356,513,384,497,610,480,418,552,749,096,110,376,219,789,722,745,082,079,558,
672,527,635,025,779,478,665,156,075,181,660,168,169,083,996,306,021,403,168,
521,712,365,604,042,097,191,474,783,009,579,775,944,964,429,068,674,314,587,
704,243,409,714,034,791,103,591,130,993,119,168,610,151,934,468,586,133,555,
317,849,211,320,247,859,007,136,501,893,674,768,144,273,487,725,275,766,525,
776,658,378,211,636,016,803,139,947,661,373,924,995,901,599,215,342,284,285,
138,113,866,557,364,629,855,672,972,704,223,543,006,821,515,867,846,753,869,
778,538,611,056,960,028,490,069,047,972,492,180,688,709,610,095,242,066,516,
742,700,822,274,237,387,157,469,467,891,083,903,299,713,898,825,530,550,773,
841,365,598,808,620,400,172,013,177,155,483,221,929,265,415,103,056,660,870,
290,866,271,350,904,432,532,814,496,783,137,545,126,979,505,756,793,226,450,
863,328,809,494,769,281,557,117,409,264,774,431,931,692,296,797,358,026,490,
791,583,245,893,477,147,100,140,680,447,694,034,395,897,868,447,815,438,784,
330,579,094,139,272,786,026,416,752,507,533,649,825,085,711,900,333,923,074,
104,823,787,032,569,928,630,627,522,174,574,828,800,896,478,663,745,128,290,
535,933,144,305,702,241,675,482,365,445,666,164,494,160,761,589,244,815,769,
156,985,040,588,826,566,852,896,412,293,836,754,009,544,134,114,014,689,537,
549,170,982,393,509,116,111,877,347,353,568,956,379,812,212,415,394,356,177,
549,727,647,245,055,743,201,866,755,378,936,777,431,035,017,385,891,975,660,
201,287,963,343,151,720,114,124,250,351,565,829,356,540,731,631,495,977,612,
086,720,178,695,540,443,499,706,924,362,046,749,350,858,065,740,327,377,545,
886,444,160,475,561,369,355,490,995,016,608,781,475,569,088,182,960,655,032,
780,219,934,779,817,088,048,708,306,432,354,246,217,800,488,345,768,193,050,
475,479,956,557,865,935,236,525,815,939,129,262,730,269,978,879,025,230,588,
719,941,396,581,581,804,276,858,330,027,629,860,083,707,779,845,390,521,562,
555,393,331,014,681,927,956,138,904,568,012,133,794,377,607,083,572,740,912,
027,065,164,966,815,164,571,896,174,934,155,979,876,855,374,818,594,440,093,
825,663,854,318,154,236,774,705,493,768,231,912,305,304,704,403,179,239,400,
864,420,852,429,575,818,061,403,935,260,978,700,643,827,732,496,993,299,321,
740,605,441,492,698,424,479,729,980,034,555,278,714,045,074,207,951,974,376,
086,961,170,958,218,411,787,356,633,907,853,945,890,789,267,473,736,103,253,
275,510,240,947,023,415,061,627,210,332,154,227,788,538,855,335,190,357,032,
144,939,069,160,883,374,992,342,523,932,357,408,852,803,118,970,124,661,192,
713,268,402,394,562,953,665,637,892,483,502,781,466,061,135,872,120,536,888,
139,220,561,153,601,624,676,283,290,394,940,088,305,611,940,688,676,303,102,
755,102,296,879,741,053,890,374,614,794,621,808,131,191,669,135,747,407,464,
397,289,455,295,824,752,687,149,179,331,481,562,874,110,656,329,032,450,257,
025,836,076,436,608,810,118,458,374,303,034,742,567,003,659,958,084,612,952,
661,186,419,153,013,044,366,178,697,876,172,723,024,712,881,486,522,282,828,
582,708,844,965,194,050,940,116,818,332,491,237,062,638,577,417,268,285,408,
129,218,198,391,915,086,223,219,186,270,822,032,141,090,347,658,104,771,017,
291,700,432,183,231,536,303,652,864,564,969,655,484,270,446,796,671,317,056,
467,373,496,382,273,672,504,709,099,686,887,179,471,010,533,189,098,941,293,
412,731,446,974,051,579,682,391,344,507,594,853,813,845,205,972,789,797,403,
307,501,656,929,969,508,982,234,868,888,512,812,361,458,561,381,122,146,447,
085,140,699,196,239,337,573,757,849,879,278,991,444,027,630,773,533,355,503,
176,681,737,173,354,790,574,433,420,571,146,460,580,019,796,429,026,552,170,
866,235,405,544,033,408,295,931,693,314,755,888,344,300,276,055,190,653,352,
993,580,620,945,466,659,666,141,079,729,972,236,690,548,027,793,286,553,379,
953,278,461,916,180,721,122,999,940,417,297,804,467,917,595,312,805,524,988,
104,535,074,773,556,057,591,644,141,614,889,961,388,955,405,129,185,346,939,
509,394,489,186,914,415,076,326,054,453,700,239,292,818,892,189,922,153,701,
458,308,373,242,964,897,884,632,628,570,766,437,991,091,372,359,006,816,449,
328,310,869,362,527,059,511,067,783,896,055,911,191,637,450,218,960,971,388,
975,631,114,839,389,942,882,042,056,123,567,712,441,322,340,748,533,303,470,
621,443,090,515,933,466,307,403,656,356,579,893,711,185,118,446,190,548,790,
903,860,217,107,641,004,790,463,642,513,368,355,913,514,043,854,441,984,648,
234,133,014,719,684,009,961,864,076,375,127,948,267,447,605,818,003,358,758,
130,964,667,889,882,186,965,203,940,230,491,875,455,986,829,528,369,862,266,
861,011,828,241,259,335,535,913,099,737,785,141,074,186,209,204,823,545,295,
034,125,520,584,721,227,455,892,330,131,489,205,319,917,447,575,760,395,209,
927,828,881,630,663,881,385,339,269,471,764,308,824,455,232,355,536,171,705,
509,161,808,432,806,816,056,503,537,475,226,292,646,950,646,103,521,345,928,
124,708,862,188,034,826,396,607,990,667,751,353,513,058,971,782,076,856,567,
661,149,495,457,521,428,421,282,079,774,316,624,100,101,370,118,549,955,636,
422,717,125,311,223,454,009,305,244,090,206,448,389,685,832,401,520,136,047,
999,146,450,483,129,475,673,744,765,725,289,464,130,456,633,947,225,857,089,
645,759,858,196,885,150,524,096,204,653,064,101,426,449,379,745,762,576,664,
493,222,447,870,953,105,962,911,281,858,989,912,483,748,545,127,900,136,284,
005,430,025,282,608,012,962,259,932,985,880,266,741,186,583,352,178,154,607,
944,263,531,900,409,056,151,106,544,652,003,855,303,767,577,480,806,059,628,
102,764,637,962,919,497,379,859,285,784,200,739,895,891,636,920,124,505,353,
688,139,327,739,483,265,459,652,906,400,877,427,566,432,959,005,984,073,577,
790,227,494,010,602,235,110,632,762,986,814,669,000,307,071,732,297,487,220,
842,433,140,360,953,521,923,926,406,495,434,754,639,570,290,497,663,747,217,
065,187,196,142,995,986,106,093,993,749,025,409,731,405,991,980,420,494,692,
111,157,267,069,158,493,497,515,353,962,253,238,070,268,641,942,572,528,492,
236,192,810,676,437,647,058,842,984,006,148,034,698,459,567,684,383,710,506,
315,553,933,392,785,317,019,456,340,983,676,738,746,368,966,676,708,788,356,
443,455,727,647,986,693,228,799,471,070,439,432,850,923,738,270,736,655,462,
397,906,225,019,099,490,467,502,830,834,034,145,455,824,835,522,879,817,279,
627,951,215,211,241,521,927,919,822,977,981,153,481,060,001,215,362,014,592,
848,345,559,992,773,564,381,325,497,906,801,210,181,314,508,864,693,536,470,
207,551,398,989,725,728,257,589,240,813,831,843,990,035,397,804,684,121,128,
398,808,760,267,099,830,227,892,336,563,703,511,960,730,722,620,300,025,563,
765,813,294,452,214,948,605,953,934,471,158,193,296,587,044,301,066,728,478,
434,186,579,744,066,553,920,733,677,664,498,557,172,430,603,744,797,293,091,
501,222,180,685,521,007,150,862,644,612,021,824,244,235,115,981,994,475,196,
590,865,710,113,049,255,438,435,868,283,003,033,644,114,682,988,041,443,237,
558,358,140,503,682,366,282,138,739,397,507,323,498,145,730,142,973,107,195,
302,274,427,338,356,138,439,478,379,635,151,440,058,066,294,434,956,819,473,
055,393,483,939,804,552,593,979,006,320,662,235,655,893,552,224,880,786,057,
940,061,296,569,202,575,656,839,391,235,037,256,578,494,030,952,272,246,968,
665,809,489,882,864,504,355,529,046,878,136,155,991,809,413,492,171,976,257,
387,783,040,645,661,875,926,917,175,414,103,866,686,995,455,316,386,162,441,
682,003,026,956,506,170,793,863,772,824,832,579,025,409,162,940,902,496,485,
142,419,684,738,405,095,413,601,231,993,935,005,042,859,616,402,627,620,188,
290,277,883,831,169,839,404,815,517,557,853,259,295,179,567,847,202,879,224,
013,925,993,698,830,202,310,877,594,237,629,624,667,585,596,046,205,263,868,
888,359,453,210,295,079,487,793,525,295,421,243,978,361,595,962,303,174,039,
047,663,247,063,467,118,148,904,373,131,007,867,814,165,523,344,978,631,642,
373,304,632,438,487,134,311,098,893,666,410,673,744,994,798,982,780,750,760,
900,975,815,730,896,069,501,515,190,626,297,418,481,421,007,822,776,163,434,
427,107,489,429,507,973,208,944,870,989,435,948,988,093,279,234,421,674,921,
568,915,813,945,253,541,550,836,587,757,072,459,586,300,397,913,621,420,387,
417,817,165,819,874,158,734,398,356,118,885,511,729,739,761,923,991,448,645,
037,326,919,037,994,020,376,890,453,471,038,903,152,569,006,832,665,499,309,
386,160,390,358,106,842,471,090,264,116,615,072,355,324,019,240,541,166,793,
589,173,507,639,841,167,805,943,950,411,678,176,947,350,703,653,544,632,999,
038,174,107,663,794,237,961,007,985,781,135,889,849,495,423,906,893,312,688,
819,511,412,204,129,020,371,671,046,211,072,075,675,595,192,963,380,141,375,
315,110,045,716,069,325,943,454,749,661,315,180,664,349,748,181,127,365,137,
078,700,202,055,182,604,732,704,354,055,800,282,855,561,127,558,520,838,826,
585,436,693,354,190,776,310,947,029,252,448,063,109,198,617,017,949,491,399,
272,679,186,249,747,661,515,237,005,824,446,897,391,730,427,287,606,838,973,
111,232,407,903,344,458,470,925,917,081,585,383,532,317,783,265,850,589,717,
855,234,052,610,923,092,197,304,776,583,374,396,060,157,676,795,169,592,232,
097,696,001,300,986,667,735,435,452,253,178,922,707,505,922,674,630,855,045,
911,605,685,364,214,545,329,937,051,348,938,300,316,228,192,525,500,093,923,
217,075,223,565,081,016,156,475,604,064,462,798,746,359,277,583,385,453,095,
568,318,068,197,732,293,069,470,603,671,795,753,726,729,723,303,228,063,763,
511,761,403,650,253,596,200,611,083,590,091,155,220,458,915,266,262,687,461,
365,184,969,585,422,452,505,051,854,523,769,555,051,775,795,922,861,913,930,
100,405,392,856,248,928,403,448,857,618,421,714,269,990,772,397,168,353,795,
549,418,789,760,878,976,826,856,024,349,367,635,879,643,703,127,755,502,117,
320,775,857,477,319,117,113,705,689,132,184,947,542,694,548,504,306,236,563,
547,925,814,349,736,958,597,379,548,083,617,724,525,827,093,286,402,511,823,
503,728,433,349,193,703,742,994,052,123,509,519,449,362,297,159,737,066,629,
460,184,421,237,790,484,619,723,520,001,313,300,113,798,243,912,986,363,470,
916,262,534,028,279,056,008,664,988,970,500,120,604,288,048,755,813,549,893,
732,207,465,271,499,488,210,648,016,514,848,450,455,910,539,260,320,671,563,
523,660,830,627,637,780,124,476,229,024,226,579,590,894,819,707,065,308,529,
838,910,159,134,453,093,999,290,663,559,906,462,432,674,974,167,100,800,119,
558,543,450,642,726,121,202,806,561,297,759,034,978,364,776,711,533,592,790,
703,090,798,444,102,827,318,682,590,176,141,942,350,977,087,036,367,132,533,
122,256,791,576,736,065,690,673,497,695,590,564,809,274,423,284,929,564,764,
132,045,250,020,174,235,801,999,949,624,047,908,347,712,657,246,544,944,724,
571,097,249,340,313,154,907,849,697,127,324,503,676,349,181,522,061,237,579,
674,139,375,724,852,427,776,249,437,698,371,120,375,228,680,454,237,463,513,
414,277,429,100,343,886,596,036,177,041,507,882,429,644,201,796,123,607,339,
208,852,242,267,745,300,034,657,659,314,877,119,412,983,534,997,250,221,664,
939,719,317,365,821,439,642,233,560,386,337,416,181,533,318,008,446,699,736,
951,220,099,815,790,511,969,312,076,090,789,872,995,739,168,618,992,933,731,
001,381,588,534,393,009,679,046,632,965,493,277,854,603,440,001,212,187,258,
380,504,169,908,072,974,660,981,496,743,781,390,359,408,568,367,342,978,676,
354,225,154,263,048,400,188,853,219,075,359,686,097,196,691,765,609,170,431,
955,769,928,317,701,270,455,508,376,318,343,043,984,807,006,150,812,609,975,
889,948,920,048,318,082,690,998,115,245,487,229,955,127,353,748,738,817,149,
020,513,609,825,394,308,891,603,053,583,850,854,589,993,622,255,972,262,812,
416,937,322,462,285,147,356,130,712,954,684,056,207,271,247,297,112,005,197,
996,548,727,633,333,432,383,235,888,574,626,727,792,264,960,558,932,615,331,
147,204,791,718,907,319,585,774,982,244,074,217,787,857,636,678,865,775,177,
404,904,717,308,809,501,240,448,497,829,062,168,259,360,788,376,448,898,094,
347,281,406,065,080,672,272,347,655,993,520,716,875,482,243,984,592,092,505,
347,072,919,427,636,437,756,510,647,713,075,957,751,390,990,163,068,532,124,
549,162,104,727,651,455,738,954,478,618,102,870,840,917,507,938,239,410,389,
712,014,231,145,264,273,133,134,383,070,717,845,215,221,919,979,356,794,952,
169,263,220,825,870,489,435,019,794,033,535,613,160,282,521,007,595,229,163,
091,593,092,722,296,731,993,139,970,779,026,121,067,541,156,257,316,908,550,
312,400,189,409,548,861,889,296,202,439,066,898,309,673,961,078,618,513,870,
214,030,734,709,334,920,374,072,967,709,375,294,834,916,057,872,597,562,437,
695,236,184,024,270,522,294,971,547,635,843,788,851,602,074,418,332,272,821,
393,840,628,947,587,492,205,877,958,624,006,529,933,543,337,174,366,871,499,
953,009,476,338,124,354,520,885,685,193,740,774,406,521,875,164,257,618,672,
768,138,899,151,676,929,315,750,153,373,654,913,185,169,213,378,329,510,077,
182,739,306,274,741,921,174,862,108,971,972,931,879,033,228,065,161,517,906,
839,128,299,027,869,392,672,418,040,047,174,375,217,897,717,570,435,843,122,
019,773,934,560,592,804,657,242,719,074,302,538,544,219,085,148,147,147,067,
891,107,542,755,119,874,192,947,064,321,390,473,995,849,280,399,706,204,811,
904,828,908,068,942,620,607,391,229,946,146,679,280,738,824,400,414,280,363,
959,687,491,298,485,713,077,956,679,715,329,315,766,842,743,817,953,990,353,
797,497,101,179,505,155,742,978,809,608,019,456,287,516,126,826,263,187,784,
154,754,424,650,288,548,093,127,486,695,778,493,820,475,180,731,755,137,032,
238,007,007,622,701,653,299,479,681,981,977,017,239,941,026,467,663,691,253,
136,997,341,219,952,277,905,062,300,576,241,472,302,082,395,467,857,006,165,
680,812,544,397,362,049,168,403,287,589,070,757,143,903,521,692,560,045,804,
594,981,021,544,596,400,984,478,654,690,340,715,836,518,317,481,725,692,147,
867,952,664,568,948,855,163,297,635,286,050,507,875,705,115,090,714,871,912,
543,965,748,438,647,175,793,557,568,810,451,981,371,601,176,254,458,753,136,
948,738,021,777,763,508,050,370,255,548,370,511,550,445,462,266,530,738,297,
595,090,884,649,529,691,286,247,153,332,597,746,619,858,709,941,119,055,233,
690,098,717,954,262,008,384,944,317,754,955,456,060,388,321,581,674,032,486,
643,574,998,497,830,011,328,563,681,891,103,243,621,847,990,908,470,651,200,
504,756,137,439,968,264,747,664,860,825,252,594,763,676,073,864,239,490,733,
937,714,647,611,210,934,127,985,351,234,629,191,818,889,031,041,518,423,051,
139,046,617,075,696,933,136,344,640,445,689,274,756,283,547,756,815,991,192,
230,616,420,099,382,829,944,790,056,572,737,229,784,591,168,352,878,134,315,
374,993,410,045,470,633,999,470,504,140,125,131,188,025,196,556,718,028,050,
818,198,193,837,149,532,398,153,789,310,201,411,227,392,335,425,251,615,397,
012,424,248,113,911,536,278,607,553,890,902,369,284,979,775,857,539,170,027,
860,701,679,606,311,095,216,558,589,154,118,238,802,854,665,051,406,131,416,
183,599,117,378,146,005,970,331,917,762,673,352,375,104,784,439,720,189,666,
879,690,763,875,331,360,193,406,939,863,417,178,990,848,540,244,273,766,853,
564,722,568,043,994,625,223,836,565,198,163,088,390,693,464,952,523,189,674,
080,905,593,707,503,147,743,253,445,814,876,873,498,760,666,952,536,387,697,
468,066,278,159,011,246,548,788,624,418,964,226,556,729,347,561,856,922,892,
684,256,493,748,131,891,114,585,935,213,853,935,766,113,312,827,759,613,855,
251,056,187,185,317,128,572,262,807,509,546,220,967,771,677,393,715,562,309,
824,746,492,414,196,281,326,027,952,940,017,011,476,845,240,681,721,913,092,
445,407,891,975,192,272,935,278,772,132,447,071,820,431,819,942,878,435,030,
713,270,016,233,766,790,908,210,788,549,463,723,016,081,223,348,413,365,954,
359,947,354,323,186,528,656,195,884,497,845,104,462,852,256,308,289,873,625,
282,624,292,786,640,406,390,762,749,779,500,204,217,954,005,746,050,686,100,
752,895,332,672,260,329,450,940,760,601,211,035,647,622,146,103,703,726,665,
439,155,055,302,337,585,659,153,936,176,272,344,600,316,438,552,097,706,188,
092,554,105,890,811,023,231,485,849,217,724,569,260,316,831,674,015,188,716,
961,033,936,953,927,985,460,482,015,991,844,730,009,189,332,348,429,369,639,
691,035,747,584,259,533,191,359,653,721,614,718,214,700,878,607,392,743,658,
367,436,442,036,177,665,793,999,934,417,109,571,698,788,351,499,138,452,705,
771,171,625,211,404,497,346,973,472,908,145,466,324,670,651,792,179,881,760,
334,583,461,691,154,869,737,323,006,554,049,746,723,881,094,622,387,899,432,
520,008,717,504,565,037,033,644,642,363,377,800,532,517,734,432,490,426,398,
597,254,529,130,198,439,094,533,670,695,187,787,780,966,962,455,220,939,993,
252,478,664,020,417,960,025,688,330,850,145,349,575,872,212,590,847,795,620,
525,340,644,954,136,258,323,077,337,168,987,627,840,251,021,207,509,725,112,
494,449,980,314,955,110,540,319,171,840,844,106,559,428,500,071,817,316,535,
845,754,080,458,285,817,799,318,068,687,291,957,685,773,838,182,392,006,900,
858,631,947,281,469,521,579,239,484,658,670,459,701,449,831,199,030,952,750,
838,341,376,186,674,280,279,660,641,902,059,664,576,789,593,482,101,200,083,
002,050,598,221,067,748,621,630,161,569,447,423,580,632,690,577,120,563,269,
003,124,042,117,974,536,880,123,928,019,028,217,902,956,456,795,949,777,945,
196,060,837,810,669,679,648,672,587,547,382,664,562,241,171,339,448,028,832,
319,855,510,104,289,086,351,624,616,031,204,895,828,369,474,960,372,962,758,
906,073,960,713,896,510,328,792,386,412,557,015,851,639,489,173,345,288,327,
541,080,085,798,992,725,933,893,496,598,932,942,702,884,399,230,728,683,316,
479,060,831,329,239,268,427,048,034,876,494,157,567,964,779,797,617,502,626,
586,142,081,587,824,476,404,483,150,900,255,021,883,905,417,289,920,817,305,
525,566,989,898,754,200,576,911,596,032,040,586,719,675,904,456,709,164,849,
292,005,289,134,754,397,951,878,572,485,152,536,074,816,366,487,287,834,187,
191,813,588,120,354,880,553,888,588,399,782,027,873,608,526,818,201,860,673,
558,136,037,027,485,084,278,263,021,364,626,110,476,609,464,935,140,170,551,
308,274,838,597,477,505,087,714,407,197,166,131,934,689,895,070,517,066,053,
673,386,713,298,415,570,325,213,570,342,554,135,315,601,605,331,610,015,120,
365,559,826,039,488,255,508,271,089,048,807,405,627,010,480,120,079,943,692,
692,134,357,614,817,248,745,359,974,169,545,374,856,532,381,602,013,828,743,
805,571,100,087,658,444,887,011,680,226,096,192,446,577,505,464,916,082,934,
134,755,736,043,751,012,685,019,925,125,242,342,247,481,567,732,451,721,973,
837,806,852,456,665,264,545,694,008,424,198,797,302,013,469,452,316,112,079,
335,854,445,178,626,452,286,534,663,066,206,892,809,213,577,900,254,287,268,
620,430,159,448,389,716,585,570,703,285,889,922,328,773,098,217,255,981,854,
752,136,016,957,145,302,815,481,003,224,383,680,251,129,214,817,371,521,306,
314,630,181,580,026,260,315,114,802,805,093,952,901,540,869,859,798,546,421,
264,273,686,508,618,589,985,583,552,830,226,619,464,622,228,545,471,570,042,
275,678,781,524,368,425,979,480,678,669,090,411,003,418,589,876,189,000,701,
725,863,143,005,073,051,612,263,676,905,253,201,558,205,672,236,665,856,513,
647,887,501,859,502,682,991,167,638,354,426,336,396,691,136,068,545,954,417,
753,214,316,181,319,688,064,459,817,380,382,295,466,798,700,189,155,900,803,
363,938,302,012,246,387,865,093,177,079,698,185,478,966,389,775,129,012,639,
495,140,207,898,545,056,901,035,510,262,944,495,954,472,063,028,550,662,436,
227,433,617,279,439,675,440,132,381,486,893,431,794,135,636,872,684,202,426,
782,779,084,713,586,594,163,292,032,432,999,948,741,815,700,961,093,710,282,
073,516,460,376,106,483,821,374,087,527,433,676,856,749,276,039,819,170,163,
345,536,662,814,160,326,264,180,968,980,956,976,421,866,051,643,689,910,040,
070,336,882,935,962,092,622,722,295,452,846,658,734,182,821,510,881,735,086,
857,250,084,388,035,499,708,818,068,747,112,695,250,028,514,431,711,201,804,
361,603,219,651,927,777,945,622,897,898,827,132,967,158,667,910,515,631,560,
777,844,931,646,678,755,155,457,908,798,180,304,436,205,062,237,182,048,556,
770,572,425,389,446,108,060,270,205,398,135,753,872,119,597,841,001,384,003,
224,329,631,397,799,195,007,073,265,589,933,016,181,981,896,241,371,083,056,
427,980,728,385,809,474,820,696,961,204,353,827,131,761,896,604,557,160,407,
714,450,678,240,587,773,591,047,893,703,140,816,075,339,868,527,623,855,879,
787,905,806,718,650,712,960,050,989,450,670,609,807,723,031,719,205,611,345,
476,987,045,721,890,174,106,095,093,380,518,463,533,584,920,876,998,008,531,
685,810,081,028,928,502,287,589,234,974,203,699,841,662,874,144,018,180,985,
745,287,347,281,650,607,731,467,171,102,117,576,673,291,395,062,782,443,906,
109,384,598,741,146,651,261,038,428,337,732,152,292,819,537,041,126,057,976,
498,816,087,772,607,671,121,376,094,884,804,830,593,371,658,613,291,400,768,
775,175,900,528,760,696,113,004,237,326,711,658,734,482,631,565,962,652,898,
877,281,780,011,570,925,783,835,847,792,639,145,987,112,741,637,340,816,937,
211,997,165,733,234,948,766,644,053,014,465,959,759,046,451,704,086,913,134,
654,562,720,031,433,088,381,220,077,000,406,980,436,427,768,186,394,932,316,
767,951,374,776,064,318,769,127,472,550,329,192,019,851,463,048,640,143,005,
314,494,773,423,067,986,204,993,102,362,154,243,846,086,654,576,675,678,994,
789,021,708,586,930,009,312,453,575,591,242,552,915,183,913,486,189,255,319,
295,831,111,762,250,713,490,805,391,135,080,208,264,670,567,956,200,845,094,
156,113,174,610,269,403,413,911,937,861,866,942,531,170,197,223,794,048,136,
908,367,758,924,623,331,893,954,663,964,272,864,219,938,772,881,435,749,774,
382,639,909,253,197,128,603,496,186,749,873,876,301,428,198,299,564,191,650,
329,663,713,968,636,122,460,455,554,919,078,818,815,699,594,771,742,177,684,
711,884,043,590,307,752,819,132,543,662,280,195,065,118,373,286,347,368,707,
008,126,433,305,220,229,217,011,246,611,802,374,015,749,407,670,389,278,132,
542,523,863,004,476,462,065,768,517,514,146,596,471,942,173,197,808,413,598,
419,419,781,147,605,778,489,224,908,168,666,530,867,657,242,152,062,276,719,
346,057,142,213,155,553,801,624,355,343,390,531,916,647,244,486,372,935,130,
338,571,961,283,193,558,920,335,742,448,100,123,916,076,180,541,411,190,221,
654,043,448,419,428,717,821,614,652,269,557,489,160,727,170,779,464,739,867,
929,678,977,387,195,358,305,676,671,367,725,242,806,664,014,456,212,647,327,
194,791,236,952,797,858,027,831,903,775,133,310,741,660,182,499,828,803,746,
724,822,635,865,787,968,595,199,947,936,626,336,877,882,694,203,276,700,048,
372,896,897,852,288,756,289,589,957,078,343,326,385,541,839,054,705,992,349,
848,435,110,976,339,877,720,085,499,580,179,036,307,816,853,890,233,319,693,
009,298,304,578,161,584,694,381,665,984,137,969,849,065,984,361,185,230,309,
476,136,352,669,073,465,932,889,318,987,369,285,810,288,904,577,319,886,536,
252,482,317,754,713,642,952,510,280,264,652,262,369,070,642,532,527,961,569,
817,422,975,782,962,147,993,733,600,041,096,825,197,843,891,940,817,060,078,
738,750,925,640,930,159,052,111,822,061,831,979,778,477,077,968,268,330,559,
616,585,835,243,943,951,334,547,372,362,671,671,541,748,818,496,503,966,562,
696,783,997,392,766,706,094,906,913,007,105,501,922,871,165,892,295,845,318,
899,530,908,359,381,762,956,352,515,217,109,127,845,381,789,013,704,334,864,
019,720,844,996,727,003,880,911,672,966,066,822,575,157,575,875,136,779,950,
295,592,720,970,129,990,338,191,791,013,117,563,067,410,976,972,343,291,444,
516,264,571,582,234,448,071,167,386,316,035,602,289,695,048,367,223,397,743,
721,322,713,520,177,503,081,682,850,034,989,508,207,484,358,921,368,787,064,
623,779,987,025,452,716,577,673,188,840,993,675,570,771,883,103,450,361,453,
492,493,837,855,613,609,602,483,038,816,321,229,986,560,748,961,948,219,815,
990,365,599,650,998,228,170,868,696,220,375,478,229,327,624,171,892,551,068,
120,540,827,801,664,854,161,680,695,376,698,814,546,491,085,171,009,765,285,
881,267,550,267,290,605,141,655,545,955,306,708,478,552,641,516,944,622,054,
209,514,184,267,149,932,891,777,518,446,568,010,388,127,757,784,543,168,474,
033,682,082,129,640,087,254,643,881,250,666,110,156,598,281,578,658,632,569,
926,366,101,544,212,835,223,922,422,865,983,884,222,204,513,934,370,159,075,
028,932,894,548,629,090,704,006,154,803,227,389,302,786,945,088,764,532,464,
668,707,365,182,929,349,671,515,510,813,708,116,126,961,424,887,576,931,400,
554,440,383,130,518,091,915,293,942,899,949,771,990,887,217,947,838,499,565,
869,778,610,548,920,937,330,781,473,641,262,792,432,982,106,588,704,792,523,
776,033,035,907,826,219,832,434,064,924,161,954,966,764,448,878,363,088,660,
080,530,253,498,166,613,585,706,940,908,550,675,171,723,550,872,669,220,097,
982,259,825,824,151,055,648,439,326,327,335,404,408,947,791,735,761,711,664,
944,685,851,021,299,110,596,186,135,023,651,077,667,441,660,493,650,702,001,
256,437,710,494,873,425,538,646,313,162,186,572,139,978,803,852,444,066,577,
654,493,468,252,393,602,120,006,749,141,466,407,498,814,541,174,494,067,132,
083,902,582,554,795,116,946,075,068,022,368,586,767,786,160,026,828,781,549,
388,423,668,138,112,228,726,374,524,698,219,055,362,532,063,272,472,278,742,
183,708,860,983,598,303,346,258,353,132,506,676,948,882,265,463,601,634,799,
742,852,565,044,544,230,685,294,596,678,025,803,990,214,026,806,617,996,997,
347,745,255,670,506,096,636,949,511,051,204,276,058,923,950,898,224,212,558,
399,960,076,345,601,834,982,676,999,253,287,003,975,837,423,239,357,562,397,
604,417,130,586,541,641,100,812,278,981,639,796,613,384,879,277,613,254,029,
342,930,085,265,959,404,031,826,811,765,512,244,764,449,803,314,904,211,351,
530,406,910,464,694,440,110,467,233,940,204,126,008,806,840,832,146,158,173,
111,236,676,324,345,300,140,509,062,150,064,757,448,837,612,926,562,936,778,
845,328,577,802,422,160,638,410,597,264,106,849,562,883,381,025,725,209,448,
855,824,279,890,777,353,593,067,986,142,652,737,330,527,090,695,860,016,514,
285,458,510,103,518,780,360,068,821,513,951,601,249,342,332,997,788,409,211,
764,972,088,805,396,735,252,563,298,988,981,162,564,829,893,147,857,687,449,
008,483,951,042,213,938,242,626,733,245,528,369,219,295,234,680,963,750,124,
222,588,931,026,997,537,651,753,357,530,974,623,118,050,995,477,613,577,066,
630,764,835,217,778,089,654,204,383,959,739,884,240,213,024,023,045,997,340,
975,180,457,191,178,968,530,709,915,287,343,859,328,058,083,963,322,155,538,
815,789,226,149,721,482,831,368,343,642,498,922,635,348,150,055,690,487,032,
085,622,105,501,996,749,710,644,746,167,778,674,229,731,653,061,524,964,026,
491,663,427,893,640,743,254,021,236,807,129,572,753,821,490,065,373,144,858,
341,755,445,650,454,449,709,750,488,244,842,341,687,117,470,914,786,280,899,
878,351,884,046,424,222,153,503,441,871,683,128,526,613,671,487,831,714,603,
375,872,486,132,719,728,365,792,738,176,151,174,025,277,141,538,786,704,124,
566,460,886,424,146,625,829,367,395,022,783,722,521,486,966,050,807,324,031,
218,163,538,286,544,463,333,235,706,651,822,252,939,296,701,047,649,968,563,
069,248,237,742,611,153,428,116,952,305,366,732,965,501,874,123,461,119,464,
486,654,634,002,049,860,154,552,201,380,221,017,003,327,163,633,658,945,629,
807,919,730,162,027,092,530,184,512,511,674,479,353,249,465,191,956,437,663,
063,579,937,372,702,116,129,696,294,677,936,700,301,033,536,612,021,700,957,
175,306,399,474,844,003,816,164,135,980,238,218,193,100,303,644,176,580,370,
363,098,480,710,527,195,064,230,902,792,251,002,873,385,703,347,173,270,375,
258,668,133,927,912,089,030,927,511,306,663,561,419,066,366,244,227,601,878,
379,662,289,046,246,396,542,073,233,829,935,350,634,006,188,142,857,887,268,
312,711,507,642,557,894,426,393,857,167,020,412,331,262,454,020,375,517,279,
922,716,568,251,459,747,529,633,688,693,142,455,396,444,374,330,119,228,643,
335,925,794,421,726,357,469,490,207,759,385,249,665,598,492,507,306,012,357,
423,190,131,037,412,219,953,733,566,962,748,896,401,900,197,427,166,549,799,
418,879,069,399,799,307,396,848,372,970,687,420,984,132,150,541,281,760,666,
980,911,464,514,578,823,733,874,919,440,828,743,863,088,020,909,416,681,546,
587,170,716,568,872,511,470,699,192,877,587,635,622,987,471,144,728,302,320,
044,396,183,454,848,666,325,443,261,034,483,994,645,818,675,846,776,329,991,
697,018,017,800,003,909,759,123,659,901,384,720,554,988,798,582,162,462,670,
614,227,583,608,528,915,036,633,416,069,253,070,753,624,222,889,531,596,339,
839,170,236,769,336,312,280,019,624,608,721,863,140,259,039,929,441,414,391,
703,319,395,252,493,086,887,664,540,767,113,279,313,126,867,522,486,500,732,
896,721,482,397,545,080,902,718,314,260,098,202,562,390,270,160,663,454,487,
059,666,734,447,798,794,164,290,295,288,039,880,197,718,916,547,646,680,289,
591,864,958,955,476,455,534,207,896,337,283,617,715,425,850,699,240,184,413,
530,139,350,892,910,018,814,196,327,361,975,755,138,081,722,020,884,046,989,
242,915,856,112,677,951,081,418,864,138,196,154,495,022,094,493,343,981,727,
162,276,444,081,191,847,845,804,442,827,576,620,699,683,642,409,883,023,593,
927,564,481,031,881,274,456,227,274,664,056,997,504,635,676,199,610,936,887,
470,556,863,918,261,076,754,666,330,754,445,385,115,696,399,637,365,364,339,
496,374,968,175,708,107,512,399,971,011,296,745,808,893,591,309,876,654,058,
899,201,994,498,427,068,690,942,007,970,653,943,081,856,488,704,382,449,141,
723,224,251,527,984,888,698,962,982,920,485,473,916,158,172,035,323,774,568,
088,439,850,547,025,035,749,312,567,288,942,277,759,290,350,280,764,970,541,
541,546,032,133,707,145,990,058,239,073,937,675,306,961,414,808,952,902,986,
582,385,697,369,348,387,976,197,126,628,348,868,640,272,217,443,979,222,604,
583,266,683,737,348,792,767,098,501,254,314,819,410,252,115,775,301,327,193,
986,781,147,481,503,033,010,245,475,436,837,282,790,753,633,943,591,744,641,
257,742,529,953,614,256,338,310,749,248,502,490,459,905,932,355,667,512,645,
893,542,239,331,677,164,433,508,419,169,784,717,681,322,801,688,913,080,052,
103,286,175,826,346,850,665,820,092,187,129,422,130,757,549,748,058,009,375,
609,544,363,918,213,824,588,187,959,218,135,118,464,222,110,049,991,776,004,
278,061,867,154,532,554,995,313,382,242,284,895,303,496,195,701,103,571,976,
903,907,892,684,143,240,910,059,901,021,365,675,724,366,646,952,516,851,893,
755,410,173,260,137,386,872,704,414,613,468,406,150,147,487,873,521,498,244,
377,833,309,950,579,375,963,635,399,894,258,075,047,614,945,716,743,079,504,
105,775,844,554,800,348,111,283,864,798,603,453,972,544,548,196,298,592,646,
850,009,139,236,416,044,268,885,252,347,130,884,042,606,881,216,959,285,275,
138,262,354,981,150,939,477,107,406,544,609,314,342,724,516,714,001,447,582,
803,981,858,631,814,810,913,763,594,499,830,251,694,646,347,513,525,450,631,
618,847,871,083,229,167,281,194,013,035,233,909,357,666,762,288,421,999,625,
061,519,474,835,837,651,793,549,775,889,831,006,778,279,811,170,828,289,823,
254,058,826,375,682,501,489,779,633,165,583,584,803,951,523,847,238,140,712,
956,336,440,038,539,440,458,927,293,998,122,286,782,394,264,965,182,813,897,
131,855,642,929,733,894,853,049,456,866,968,228,665,448,678,575,710,194,779,
077,280,266,687,214,612,404,814,922,329,392,780,452,231,581,651,570,333,317,
311,333,141,168,665,099,491,017,097,047,248,221,925,141,077,546,847,717,720,
652,339,649,478,960,750,977,995,854,025,856,716,186,983,017,720,685,212,117,
015,157,054,784,323,779,573,624,716,108,572,615,235,779,301,249,133,892,795,
578,549,214,473,920,364,055,004,675,788,718,392,117,156,978,202,311,673,712,
922,014,179,857,314,277,637,180,177,454,123,152,517,579,098,578,588,124,691,
063,809,160,405,100,132,239,931,189,560,038,329,468,288,561,632,298,322,350,
544,912,528,064,288,346,295,562,768,062,890,405,594,732,806,558,784,530,991,
346,110,328,215,547,173,758,576,746,564,527,637,462,913,263,054,934,196,500,
747,003,369,872,294,000,515,005,920,186,623,003,575,345,301,524,212,939,178,
857,650,231,117,349,345,211,113,679,192,506,615,215,308,228,133,304,115,118,
848,843,847,989,142,187,755,142,639,243,021,750,239,142,719,217,412,509,012,
079,893,652,550,059,500,397,752,936,158,811,954,687,838,319,628,091,041,437,
359,820,628,623,706,404,380,859,885,199,765,442,220,091,504,235,092,659,394,
777,009,005,326,915,738,334,888,816,652,719,443,741,061,826,325,624,174,707,
360,109,771,492,723,604,444,308,116,905,106,266,805,860,331,183,917,565,118,
874,095,833,363,414,373,616,343,141,770,610,372,278,647,158,832,661,950,442,
907,612,539,173,223,030,520,909,534,565,177,333,930,841,578,256,392,053,538,
658,305,524,315,625,997,024,632,300,861,943,658,054,208,132,165,338,896,321,
508,924,514,804,028,159,691,651,076,972,422,965,778,953,119,810,370,314,412,
621,456,261,314,955,783,229,518,613,800,765,413,861,043,644,474,824,302,412,
431,566,136,626,421,597,111,957,439,182,598,926,504,177,356,344,920,055,205,
059,494,133,729,961,198,394,706,734,415,359,482,905,675,608,460,871,804,578,
038,995,530,667,166,137,124,317,556,196,759,380,368,066,052,723,397,524,739,
009,366,173,206,637,692,138,675,241,010,650,470,529,048,403,527,217,541,211,
439,659,944,963,569,816,531,109,709,192,838,081,873,457,752,577,749,979,780,
366,765,190,645,122,170,743,336,928,355,671,095,497,741,906,137,289,734,135,
654,893,347,284,812,893,131,141,017,361,685,719,459,654,182,211,449,932,911,
834,230,963,794,287,675,535,094,196,931,458,254,138,557,305,595,548,411,677,
959,052,562,562,098,613,279,137,092,098,189,222,749,491,020,279,834,386,758,
816,609,018,208,831,730,577,462,687,334,097,859,205,296,212,291,378,216,077,
229,155,345,324,215,647,785,067,125,575,803,035,716,802,050,521,593,717,121,
066,150,678,196,029,440,329,753,953,248,109,810,724,015,199,515,042,864,663,
854,858,342,834,169,183,345,302,801,958,480,680,016,639,160,603,403,952,070,
265,332,253,476,359,589,387,154,259,333,506,444,568,610,759,712,468,223,304,
311,113,362,658,846,771,357,833,540,194,299,278,171,681,796,723,254,695,805,
763,076,709,404,656,691,849,981,645,382,501,388,759,509,481,938,796,010,626,
719,773,478,719,873,605,961,234,631,816,824,005,970,270,570,652,335,567,579,
014,597,179,490,144,282,802,470,296,715,166,501,261,215,764,828,416,886,773,
381,075,897,010,774,373,242,564,449,819,546,391,819,056,907,130,613,329,476,
502,527,631,742,616,931,582,029,523,179,919,423,604,806,474,659,324,953,667,
012,281,709,150,823,430,530,118,325,052,173,797,860,240,197,500,523,066,352,
329,659,630,965,364,475,390,438,403,213,758,099,041,870,109,613,922,836,428,
145,788,366,057,036,313,281,733,672,809,444,596,310,884,120,864,696,437,476,
485,329,208,110,279,461,792,466,051,743,042,416,673,535,519,461,194,393,419,
561,123,783,667,786,264,728,901,612,785,681,516,317,444,861,329,383,709,183,
726,637,275,223,647,359,063,747,900,904,704,283,832,933,216,905,539,835,209,
275,357,377,289,037,122,785,403,103,022,076,507,301,492,057,601,140,267,635,
970,363,154,241,089,160,045,688,165,444,625,752,400,941,274,280,500,082,080,
555,736,529,643,836,850,839,095,741,906,374,579,191,537,186,985,255,347,793,
507,398,279,057,163,272,902,466,457,564,209,306,710,279,806,817,153,704,894,
510,848,311,556,606,044,002,444,190,275,848,617,577,975,319,776,431,502,984,
525,178,589,535,698,169,688,372,015,937,463,048,957,251,296,743,988,894,964,
527,522,700,721,845,591,111,974,964,482,223,573,399,814,908,175,160,529,200,
728,968,133,674,101,430,823,423,328,779,271,775,334,782,273,681,812,955,196,
900,785,370,379,328,282,812,988,903,897,784,119,143,009,483,249,917,667,841,
399,638,774,762,078,808,555,616,727,466,968,281,275,378,125,702,983,643,863,
938,085,578,603,087,788,873,577,231,086,428,099,282,099,114,335,379,448,788,
306,672,308,251,649,534,989,563,316,393,183,039,304,217,097,547,118,696,499,
551,326,152,627,960,005,038,091,151,332,612,394,954,993,641,002,168,913,570,
811,924,216,093,137,075,318,868,373,595,874,201,714,393,944,987,394,713,834,
092,145,415,288,399,046,095,084,229,297,111,364,432,392,714,730,275,158,680,
856,673,261,046,451,305,374,018,145,360,307,319,687,115,775,562,192,097,230,
366,006,001,818,758,846,566,496,796,900,651,647,404,359,213,473,033,729,670,
434,331,186,099,379,275,000,793,244,650,784,185,363,890,402,244,871,782,909,
583,503,268,304,545,533,218,087,280,152,778,493,767,862,913,860,894,864,347,
028,098,209,351,668,600,524,318,560,235,960,146,961,897,860,738,935,375,820,
091,661,418,214,372,369,020,903,023,582,667,539,203,181,482,013,738,601,526,
893,686,344,537,986,026,093,546,182,555,881,580,646,219,748,395,866,685,977,
055,975,356,916,515,497,892,731,662,816,663,401,794,898,410,709,633,311,209,
675,066,419,695,192,064,604,961,039,508,979,074,003,680,540,081,723,336,995,
158,558,570,137,203,860,896,168,873,223,986,749,390,087,185,958,036,406,994,
815,054,808,978,607,610,290,016,075,372,803,972,078,946,022,491,418,408,590,
477,672,494,800,680,056,299,874,325,591,495,634,931,551,615,319,274,218,984,
251,213,122,116,893,582,694,090,609,827,088,333,939,456,356,170,140,917,226,
972,529,921,151,238,847,064,273,985,108,247,203,054,740,635,528,793,836,921,
969,623,524,186,405,548,807,635,100,377,948,594,773,908,557,650,972,877,590,
601,110,896,442,534,912,245,062,308,310,248,816,671,535,606,640,307,502,249,
040,155,930,117,780,179,280,578,009,342,391,419,834,841,941,155,635,400,248,
060,033,888,543,193,635,900,074,943,305,330,175,358,318,956,525,267,922,924,
181,386,767,406,847,265,654,540,067,808,409,867,952,777,266,513,879,857,565,
871,658,059,200,779,704,439,939,524,539,645,511,780,217,515,191,553,112,661,
369,586,972,140,385,834,151,908,046,098,701,698,975,038,894,521,967,464,307,
998,280,497,551,634,956,588,370,443,569,326,093,409,924,616,187,903,259,291,
112,313,889,201,829,206,386,652,688,266,753,181,716,828,925,410,314,657,385,
237,469,807,843,419,430,542,205,627,903,276,743,561,846,383,331,765,188,858,
099,399,812,434,194,979,414,864,499,220,386,772,746,702,602,942,051,367,129,
859,554,751,838,511,051,963,883,462,306,700,349,531,445,217,401,691,621,220,
665,093,541,833,011,864,116,064,592,986,012,439,978,705,736,370,800,820,555,
904,613,366,606,552,602,650,159,435,166,453,400,748,029,364,379,265,123,297,
205,536,556,839,485,432,898,251,653,633,603,178,505,707,304,039,468,934,492,
373,483,052,219,785,265,210,457,002,348,864,109,409,548,948,381,772,200,223,
929,899,616,495,697,671,063,653,621,965,403,527,402,358,733,484,421,767,456,
959,658,726,951,745,479,704,389,900,144,594,943,239,893,791,183,388,448,649,
427,459,035,694,206,036,776,379,371,569,983,849,066,973,250,306,031,216,067,
534,758,263,186,126,297,583,520,388,478,131,158,983,464,649,024,434,475,449,
871,748,631,530,946,166,192,390,494,039,253,330,014,244,686,963,337,692,555,
223,530,029,487,882,869,544,592,589,083,317,202,984,688,225,271,435,423,336,
169,081,936,838,606,699,572,409,725,556,792,358,517,975,254,219,305,729,774,
533,278,545,860,075,806,035,551,548,451,225,599,371,254,188,238,047,539,175,
471,090,033,466,459,241,793,810,366,845,328,079,318,430,814,308,806,497,102,
711,324,729,744,427,777,694,185,302,388,489,576,328,127,589,951,242,542,439,
414,767,289,335,600,655,673,023,988,768,648,529,204,931,169,877,964,244,075,
688,109,375,390,700,251,988,217,717,369,277,553,461,500,143,889,957,015,910,
789,702,348,387,864,216,832,156,316,884,955,421,622,425,219,114,277,815,544,
753,588,859,501,402,938,370,446,056,497,798,090,267,922,558,673,886,492,804,
548,384,900,452,961,489,546,086,053,270,840,429,950,439,386,838,551,349,673,
135,160,400,277,928,233,182,143,144,276,408,810,418,711,522,541,902,534,881,
555,539,276,646,095,642,730,492,016,646,837,249,044,070,082,486,345,694,392,
497,140,125,193,168,243,071,193,366,250,339,391,924,723,408,564,484,749,086,
286,674,800,890,386,074,243,110,604,949,334,283,280,529,923,252,876,716,512,
786,577,287,845,964,085,722,654,951,957,044,598,323,259,350,267,739,810,272,
722,800,199,515,257,597,258,383,751,769,956,722,543,751,917,005,422,217,253,
122,677,236,475,660,329,595,738,609,826,781,765,588,267,861,471,621,453,320,
661,444,822,340,391,350,982,663,312,626,451,926,271,562,456,914,714,148,013,
804,494,284,658,195,071,015,456,948,370,048,170,271,341,887,157,140,312,763,
097,403,797,298,076,966,531,292,897,338,623,488,378,671,020,908,368,565,767,
894,665,880,972,320,067,497,929,881,328,477,649,527,749,214,802,586,549,970,
715,040,498,842,296,841,330,714,257,470,304,573,223,185,205,531,997,970,412,
402,261,466,788,663,774,442,898,487,677,944,297,610,175,760,249,857,654,202,
622,499,233,911,333,862,108,679,359,862,474,705,763,975,210,768,375,192,246,
946,883,402,216,896,295,758,837,652,537,411,834,287,121,098,445,840,242,069,
517,983,549,950,589,537,916,168,217,130,434,467,240,407,592,454,855,375,430,
912,777,173,199,026,792,277,040,847,752,496,974,992,824,870,066,460,761,846,
890,148,844,781,036,904,254,381,855,553,482,283,303,511,092,938,728,596,224,
765,674,688,799,269,261,825,364,155,388,948,260,484,340,804,042,101,421,210,
379,979,560,424,735,991,152,352,170,313,434,122,476,648,573,589,355,189,179,
364,718,471,077,976,164,568,443,428,622,526,433,047,524,224,996,152,750,561,
750,792,409,021,375,235,060,892,658,109,300,887,765,470,701,656,834,923,232,
488,807,506,517,351,491,475,785,741,097,820,126,348,408,309,418,485,352,146,
470,118,557,899,085,638,744,505,735,371,347,463,080,083,807,905,062,773,692,
794,375,754,366,933,958,841,128,234,916,549,075,977,815,559,555,184,158,967,
730,175,854,656,781,318,714,023,714,047,296,725,612,904,289,293,887,089,618,
517,033,233,983,697,013,158,335,542,017,859,205,874,432,516,259,386,644,493,
227,994,954,712,048,209,215,794,907,039,907,951,027,856,062,864,349,076,300,
768,677,372,908,692,768,756,073,751,979,082,256,779,846,402,898,766,973,921,
054,381,824,251,603,626,570,766,710,238,977,405,935,586,852,842,788,713,706,
634,012,856,693,717,542,179,277,683,678,181,691,219,022,826,744,609,568,457,
214,117,632,775,643,470,258,130,995,410,769,927,067,434,477,984,680,619,618,
256,188,899,140,607,240,611,778,627,026,154,752,530,808,253,149,851,871,709,
592,633,817,925,001,412,268,139,578,597,099,011,981,338,138,024,830,305,610,
129,314,307,626,453,216,023,130,879,828,104,182,977,588,003,711,687,649,414,
405,264,919,097,441,464,716,639,808,193,772,160,602,790,207,955,929,524,911,
804,814,365,313,974,640,167,432,938,141,829,976,871,656,937,974,128,744,735,
847,623,745,946,912,931,694,754,422,062,613,062,917,154,281,563,343,969,438,
277,248,800,475,730,378,858,493,030,192,783,543,745,849,028,599,038,169,600,
063,316,570,352,666,928,826,625,200,276,452,582,850,338,484,503,125,905,507,
095,337,631,230,551,703,745,573,441,370,901,524,193,197,794,810,113,956,889,
423,164,143,512,633,995,100,261,670,273,728,268,988,446,498,117,427,548,819,
722,317,617,577,726,598,639,119,911,821,380,526,459,967,913,776,390,375,958,
306,457,799,748,822,644,241,027,952,915,590,476,598,830,910,733,864,029,150,
620,799,832,097,501,432,820,308,154,615,730,484,518,219,436,866,724,698,522,
207,563,079,326,986,787,489,150,947,797,410,122,553,029,042,191,112,579,743,
316,832,044,317,879,885,253,587,030,102,022,865,631,702,371,889,180,914,500,
677,711,642,569,545,470,300,487,131,710,282,091,155,389,578,317,328,470,241,
313,103,728,276,757,165,839,393,404,991,929,194,377,285,098,533,476,981,427,
218,167,527,789,940,464,481,436,419,068,163,407,267,918,137,133,212,512,874,
616,174,885,695,428,885,933,302,286,697,764,272,230,732,422,788,712,484,877,
506,144,651,894,718,880,436,378,746,409,203,262,864,807,013,522,634,882,616,
626,262,124,410,557,115,575,731,557,420,872,478,858,827,116,115,996,269,462,
482,321,860,150,779,701,934,218,168,726,272,255,878,699,952,467,070,162,303,
546,558,291,309,366,237,251,657,628,241,269,819,065,854,466,446,495,992,583,
618,583,886,028,168,628,643,157,065,030,892,424,343,145,375,425,127,852,389,
160,445,245,365,349,731,839,406,326,819,672,885,610,216,697,061,387,907,891,
809,831,156,393,680,180,810,897,813,766,114,701,472,815,786,536,998,972,470,
708,436,274,842,852,609,804,701,385,484,613,817,403,702,130,434,238,398,888,
126,462,798,580,993,590,595,266,246,771,889,585,053,169,062,832,794,512,623,
315,267,655,597,338,100,385,493,177,655,413,185,121,923,134,546,502,888,574,
743,700,213,499,916,480,415,499,122,944,721,963,150,929,248,036,665,648,621,
748,821,416,864,134,867,635,006,031,992,123,508,841,731,736,754,214,193,082,
488,999,518,275,066,520,935,984,353,360,203,403,885,066,966,264,513,040,209,
260,220,913,840,433,321,541,735,531,774,384,625,899,421,521,457,137,237,554,
580,755,848,898,036,760,678,498,149,705,592,984,623,498,343,692,150,295,579,
492,790,619,092,359,527,234,618,929,972,474,686,172,066,713,061,784,631,623,
073,775,467,925,993,432,094,478,457,323,008,862,901,124,359,796,658,656,931,
576,207,882,602,943,367,239,358,678,003,553,082,206,702,574,775,909,348,259,
707,561,626,595,358,309,201,098,174,266,399,327,935,498,219,401,155,633,967,
180,404,364,760,887,720,443,279,990,455,049,339,728,170,822,026,365,904,459,
241,968,815,536,977,457,817,840,119,840,348,347,655,538,048,268,055,720,333,
422,656,263,718,382,464,058,143,217,960,335,230,708,022,430,919,882,824,264,
043,744,078,962,589,261,757,741,418,399,085,728,355,077,714,568,379,040,433,
058,757,690,452,086,234,825,974,573,631,097,174,905,224,985,601,274,615,177,
934,421,969,392,088,445,455,329,449,259,172,415,783,150,897,010,856,116,025,
535,559,299,561,389,301,028,076,187,145,337,280,320,524,635,248,468,739,024,
355,753,625,305,918,331,574,507,447,755,369,647,461,903,757,869,925,214,073,
540,474,653,035,208,379,283,340,980,769,050,836,106,809,737,074,305,969,414,
238,767,436,788,935,325,998,909,239,597,790,363,416,939,973,296,714,983,299,
249,799,497,093,411,590,782,101,074,058,858,042,101,051,552,287,728,860,182,
879,490,966,482,643,761,433,427,770,710,188,451,560,780,917,575,877,705,914,
839,064,928,951,022,524,219,537,685,378,202,779,574,716,912,050,435,089,197,
971,339,366,045,533,931,657,834,697,808,388,449,111,666,966,400,807,871,317,
897,619,336,556,586,255,797,289,193,736,280,265,918,220,959,249,707,479,995,
694,152,195,754,037,271,587,178,945,698,467,830,314,588,515,242,426,398,207,
799,939,269,522,978,015,455,842,223,514,943,183,422,082,886,557,681,793,244,
884,343,574,062,709,860,228,856,973,778,065,311,584,829,843,933,561,085,428,
654,368,345,772,476,740,445,837,258,481,886,841,586,057,784,342,569,288,638,
363,536,631,647,838,649,011,644,507,451,001,257,134,543,663,703,170,166,254,
126,828,585,611,230,639,880,376,957,482,123,034,532,842,816,453,020,711,777,
956,185,864,119,442,671,834,751,172,572,000,264,420,119,978,610,814,626,968,
170,062,725,211,512,090,109,839,623,150,788,635,179,058,900,842,363,271,772,
086,589,329,439,501,134,326,251,157,431,068,506,969,885,135,662,755,569,689,
181,765,246,367,789,342,591,834,849,470,597,831,900,411,287,215,768,903,785,
401,145,741,850,571,215,745,268,031,824,940,567,915,737,618,301,646,927,907,
159,193,432,384,557,836,437,572,767,020,963,723,308,059,129,975,403,911,831,
046,851,275,959,902,502,040,017,234,078,059,775,017,546,650,708,604,430,871,
512,023,381,779,079,886,500,304,822,049,695,793,051,077,950,836,275,155,911,
737,470,073,245,138,375,225,203,882,751,534,903,613,427,816,511,277,015,007,
696,162,781,643,414,017,473,679,808,128,282,278,368,060,613,494,234,709,743,
733,558,356,557,810,965,848,997,275,666,583,567,540,426,710,262,828,256,922,
721,274,814,428,912,355,351,767,608,583,267,665,034,963,132,560,496,805,956,
796,611,707,668,600,464,270,975,110,118,850,325,017,002,581,077,724,369,648,
343,002,310,122,775,921,558,371,300,461,832,930,549,228,553,287,023,331,820,
889,516,313,030,061,425,214,586,685,869,127,649,317,707,284,206,279,827,277,
202,858,061,475,493,303,759,867,547,566,161,798,855,098,336,049,730,996,389,
886,054,904,470,182,621,517,956,472,400,643,117,298,003,438,326,416,103,901,
923,934,768,792,321,151,331,656,480,851,214,214,526,392,968,594,707,369,050,
346,633,596,224,934,292,133,775,249,096,300,209,440,146,526,484,541,183,599,
435,957,916,823,461,685,834,634,178,294,832,779,480,093,665,068,917,042,144,
635,656,074,986,583,637,721,598,382,150,215,017,607,561,133,683,443,072,089,
056,913,075,395,671,571,217,178,995,930,154,993,114,210,018,346,072,027,361,
793,718,819,324,861,539,857,640,723,926,463,054,582,204,024,416,245,184,814,
470,471,088,196,031,392,679,251,016,321,602,238,422,405,809,164,280,817,437,
075,601,887,540,116,891,676,894,955,798,807,005,463,617,620,642,083,762,055,
382,504,923,995,931,054,201,339,989,470,159,742,799,966,137,668,774,054,752,
234,234,494,697,746,767,792,480,875,838,483,655,387,607,605,580,608,874,025,
444,355,392,624,584,402,328,827,488,890,182,579,260,771,455,239,336,141,865,
092,002,981,835,985,891,314,053,329,346,040,973,359,876,257,091,785,754,655,
197,732,355,902,745,645,217,625,503,922,624,799,970,882,946,938,979,646,895,
960,545,579,760,035,829,606,339,364,539,981,277,330,086,986,266,512,711,110,
216,511,001,196,391,571,216,730,389,487,724,077,031,928,497,026,885,028,230,
103,039,344,141,492,914,356,707,381,203,079,160,948,746,449,804,176,419,449,
430,483,499,954,592,844,046,045,025,560,943,177,854,130,210,027,586,069,766,
978,394,412,066,645,908,886,508,695,439,500,008,569,473,005,555,241,856,972,
851,545,231,195,261,989,872,349,573,492,412,109,030,051,944,456,194,188,602,
981,906,314,185,641,554,632,385,662,743,481,813,057,539,151,046,940,099,504,
290,915,276,599,573,807,925,798,443,745,625,073,389,647,588,574,665,361,509,
214,562,379,829,094,722,358,905,958,823,423,425,702,179,721,720,712,563,966,
915,779,136,734,205,370,438,580,158,191,505,571,750,600,498,959,183,579,803,
504,861,497,323,342,765,755,601,456,789,375,646,869,677,696,119,457,047,247,
587,375,930,760,111,740,198,216,137,032,665,538,721,107,282,610,641,882,660,
190,785,183,839,649,889,470,086,030,562,530,107,720,954,409,260,751,717,138,
378,005,198,522,319,943,790,897,696,820,645,689,027,738,318,794,975,685,248,
251,920,940,505,203,435,962,547,863,621,943,490,234,683,299,450,679,544,600,
074,370,255,324,059,403,119,750,582,042,514,229,236,793,643,236,126,145,884,
439,133,087,165,092,945,856,860,382,533,697,559,751,256,109,991,748,206,519,
335,157,379,815,083,955,370,879,537,946,381,823,589,012,192,663,438,845,708,
038,485,513,863,779,846,588,756,261,412,784,272,316,620,935,462,011,711,759,
211,736,841,220,894,448,080,194,878,616,167,947,915,005,728,073,779,715,595,
565,846,845,956,000,915,610,689,593,542,931,945,862,275,431,837,887,516,573,
458,839,163,980,988,949,887,545,924,163,790,943,363,225,572,026,754,594,038,
310,115,917,879,441,467,481,116,516,141,167,492,303,329,745,898,254,763,006,
918,992,596,982,517,348,389,998,708,034,474,931,624,040,660,973,246,698,301,
763,997,183,344,357,010,818,329,460,758,057,292,569,384,203,644,838,941,735,
911,340,892,187,630,647,762,873,639,989,768,265,635,248,580,874,054,475,220,
183,384,441,638,869,925,051,923,876,591,491,393,939,607,120,152,434,143,947,
337,622,598,379,831,493,422,700,577,997,816,339,548,652,967,458,156,380,090,
985,524,854,236,150,294,943,372,200,482,139,956,286,951,502,717,170,796,683,
431,441,522,297,600,316,953,357,586,954,199,305,665,710,144,625,388,967,889,
824,324,873,600,294,138,948,965,502,804,963,187,238,970,608,716,131,716,561,
484,290,477,955,549,346,732,983,005,985,261,968,134,998,223,131,182,632,760,
142,158,837,563,625,368,926,674,719,800,571,136,475,648,330,088,309,501,217,
141,308,928,472,062,265,377,938,389,837,139,728,931,293,564,408,971,076,385,
970,693,671,209,399,066,928,882,615,864,793,261,357,464,072,333,709,635,364,
559,439,671,858,971,005,309,018,308,049,014,697,436,940,713,109,004,051,551,
373,401,930,174,352,372,745,361,942,557,131,178,447,731,678,364,534,293,655,
478,517,511,683,717,448,186,373,898,154,223,901,985,860,485,995,462,720,710,
103,500,094,136,395,359,627,745,047,311,317,201,054,317,917,308,585,050,638,
972,593,807,813,199,103,734,658,954,870,994,882,101,311,322,342,931,909,928,
841,066,530,223,570,287,640,072,114,627,728,597,206,897,830,551,103,052,804,
557,956,474,571,139,118,181,621,822,080,524,437,803,343,367,666,164,259,367,
629,541,003,498,501,811,033,986,205,786,779,271,628,075,915,692,034,731,276,
587,468,217,356,027,159,398,651,294,398,331,361,445,073,961,160,672,044,528,
023,717,230,921,063,373,003,876,803,192,586,664,751,672,726,319,752,017,306,
245,741,763,889,667,469,171,481,088,940,075,021,058,652,758,301,313,074,824,
918,844,950,211,278,343,897,874,781,847,492,304,320,690,165,401,709,956,149,
574,504,391,687,189,607,354,508,872,130,672,021,122,909,520,083,072,827,421,
657,248,054,592,331,123,085,494,216,513,642,449,371,921,511,386,157,605,995,
710,149,537,643,619,602,755,230,124,040,664,226,753,953,149,007,904,222,424,
110,093,575,288,513,045,911,738,596,321,607,606,277,958,459,905,321,510,245,
278,985,241,324,197,213,294,619,893,058,919,477,757,371,664,864,236,684,713,
947,713,469,878,510,191,727,890,659,753,814,412,958,925,296,251,151,116,122,
419,741,320,059,309,291,230,635,162,883,095,407,268,790,533,802,789,597,657,
942,346,189,087,692,331,261,042,666,866,046,260,520,144,657,526,933,957,552,
798,426,516,366,535,942,325,970,739,612,705,307,402,626,951,711,967,336,915,
172,914,271,757,336,107,985,573,421,659,767,913,320,962,245,896,155,873,442,
789,728,701,642,543,353,404,389,428,832,584,574,263,240,430,985,160,200,690,
878,216,561,043,900,365,402,175,825,825,174,548,376,656,272,302,561,838,252,
431,057,412,149,661,100,093,132,096,902,413,566,131,533,263,521,079,936,264,
599,653,484,970,554,689,155,582,453,415,924,719,717,091,096,174,528,333,940,
639,997,795,450,916,021,586,281,083,365,793,744,930,643,722,791,441,371,854,
420,958,093,350,225,271,330,505,532,299,652,846,542,499,125,105,701,415,100,
732,440,446,309,952,349,800,344,375,016,231,419,363,773,130,386,650,215,530,
312,099,678,104,843,811,637,687,567,459,695,631,835,569,587,534,624,359,863,
568,063,742,237,027,608,906,300,889,420,455,314,102,986,572,182,573,269,940,
035,442,828,183,441,088,687,200,326,173,917,822,903,112,390,847,979,262,906,
528,879,513,723,510,368,197,658,291,047,648,109,074,363,488,236,169,381,458,
169,103,930,821,755,861,424,452,072,363,146,596,622,945,554,327,419,408,211,
719,069,337,214,893,950,083,598,846,717,246,766,576,991,826,201,831,282,747,
738,919,243,577,584,826,498,858,313,500,555,909,146,912,032,805,019,227,844,
008,990,724,656,855,769,101,412,253,515,133,828,827,828,498,283,890,923,157,
820,071,739,779,495,742,969,893,860,613,559,616,609,928,541,352,025,172,993,
217,352,912,074,422,720,118,875,472,888,030,539,085,150,604,851,829,439,592,
332,044,558,093,950,949,981,886,093,740,821,286,651,931,794,047,546,204,382,
271,987,578,546,496,618,952,011,196,978,401,254,188,532,054,727,819,403,766,
664,224,386,018,053,122,460,142,404,891,120,338,771,882,290,631,727,296,552,
461,846,491,951,792,930,384,679,048,851,363,669,673,248,308,257,340,060,218,
669,465,933,598,253,607,630,037,404,057,568,676,365,981,331,925,376,185,845,
321,464,533,450,881,487,978,061,312,314,494,879,630,287,968,440,901,200,093,
925,587,623,481,547,145,087,684,769,751,967,753,952,627,824,327,247,318,298,
483,162,251,005,443,980,779,403,432,598,141,280,902,409,719,756,868,094,905,
806,030,871,638,970,344,197,218,146,387,827,761,557,069,724,658,806,661,677,
336,411,301,224,263,195,830,686,927,737,309,884,048,554,021,689,419,834,094,
579,136,484,869,032,102,508,348,646,705,155,466,021,117,410,174,321,319,107,
196,611,747,452,337,730,906,350,453,272,480,000,394,454,982,985,643,163,653,
292,526,811,452,016,627,363,785,461,724,146,731,895,306,362,584,281,988,182,
965,952,105,666,299,372,975,741,670,289,421,178,031,707,387,141,658,589,650,
051,489,173,894,603,383,314,690,023,381,722,794,204,679,834,613,326,697,661,
288,899,210,755,817,250,745,407,468,503,512,814,738,669,538,488,230,690,946,
575,932,705,799,220,945,633,695,580,836,328,663,874,799,657,071,040,473,051,
397,526,233,723,325,569,821,877,483,216,219,735,277,705,353,467,839,292,435,
374,073,391,545,193,323,121,405,820,701,412,922,284,252,315,284,190,024,276,
833,065,251,603,975,899,542,274,565,890,552,689,125,078,612,212,610,247,232,
391,391,769,626,713,441,860,095,120,834,312,344,011,488,693,744,204,737,440,
448,987,522,671,969,616,358,351,802,093,576,425,643,910,240,228,397,738,649,
280,961,849,998,412,822,055,339,511,567,173,649,541,323,512,259,085,580,784,
423,045,608,915,681,044,316,208,968,357,281,445,772,182,268,048,345,592,318,
270,957,956,359,054,943,937,493,852,227,736,318,745,660,866,774,097,196,711,
197,467,469,763,408,857,116,362,393,318,294,890,349,917,532,820,324,989,711,
703,714,554,544,422,081,449,652,943,289,740,764,431,924,478,700,228,541,941,
399,943,664,335,606,015,587,367,062,076,832,068,215,608,409,767,354,997,345,
535,000,752,429,676,054,376,043,757,949,948,933,706,661,678,704,799,141,899,
392,749,371,379,972,941,938,395,643,510,305,227,420,381,032,454,582,904,799,
938,433,672,109,221,246,586,193,325,960,701,988,747,480,395,940,310,587,448,
760,489,920,532,227,055,162,832,593,550,754,719,362,836,335,319,499,804,518,
754,861,736,504,381,300,515,050,766,901,771,741,506,348,687,412,466,295,544,
864,736,662,300,110,064,394,830,061,602,973,668,809,551,038,832,543,190,312,
542,389,361,801,074,943,778,109,386,901,261,445,716,886,520,796,964,925,629,
998,884,005,297,523,374,359,426,789,114,726,328,149,848,580,888,691,136,704,
537,724,188,328,709,512,829,321,625,487,486,941,504,840,568,983,969,816,819,
872,515,364,853,013,181,423,160,931,089,877,606,500,928,557,222,068,074,605,
298,885,761,274,506,105,377,497,177,592,486,350,639,344,666,546,103,007,809,
137,090,245,235,586,996,132,119,481,203,479,479,492,710,027,892,051,160,500,
465,412,010,948,105,530,534,813,151,236,568,461,054,307,567,683,572,068,667,
398,245,359,164,531,658,164,299,820,615,039,811,299,841,961,334,775,449,513,
071,573,197,624,179,394,066,617,722,844,181,566,246,972,468,525,484,918,403,
569,737,969,689,492,117,346,962,600,615,601,073,171,374,937,964,761,348,297,
885,627,195,282,170,489,974,259,878,787,549,917,886,509,385,200,438,190,099,
096,335,022,059,279,167,305,678,233,460,041,601,994,217,834,856,324,638,443,
165,051,402,860,749,312,584,278,539,220,508,899,011,362,537,128,532,473,021,
513,010,899,798,377,801,804,031,880,765,349,808,384,890,753,659,115,292,001,
072,990,365,642,964,113,889,903,288,809,149,445,551,999,974,266,401,931,317,
706,991,198,378,032,614,834,140,860,298,273,746,700,207,728,610,376,040,461,
146,027,827,562,602,346,745,858,386,780,942,222,292,985,785,362,135,549,925,
783,962,668,923,042,435,157,096,698,264,599,041,519,257,124,827,172,682,951,
105,634,572,100,315,153,226,113,356,620,891,178,740,320,851,354,651,682,181,
149,922,333,202,231,966,007,936,282,886,029,771,769,430,802,820,576,200,143,
728,737,148,483,237,470,532,415,106,426,634,520,045,217,832,430,194,812,111,
652,848,213,999,962,585,663,736,005,893,996,389,307,414,598,631,202,917,926,
412,092,738,040,264,247,559,089,697,378,775,355,933,984,019,287,816,120,918,
628,233,070,320,790,734,851,347,216,229,684,235,213,004,729,013,372,308,814,
261,934,727,631,542,429,390,934,843,086,367,084,128,721,162,513,095,391,901,
642,920,797,449,292,457,783,049,670,600,299,609,748,634,135,827,049,537,026,
077,064,623,713,311,308,227,008,376,679,754,379,098,546,410,444,888,988,208,
016,360,777,809,068,894,877,169,744,488,140,436,382,421,668,605,049,457,635,
930,661,848,208,790,690,770,960,639,859,659,412,686,062,488,269,727,654,353,
369,556,218,932,218,543,852,666,025,064,297,426,558,092,951,800,322,100,596,
547,194,053,384,829,190,221,631,199,506,645,555,854,521,788,536,087,580,061,
658,726,423,599,925,692,115,622,579,605,759,669,001,146,107,351,015,728,437,
020,870,465,104,693,944,053,931,811,414,564,484,299,729,686,227,956,137,041,
395,718,528,100,915,526,501,792,839,307,391,994,991,677,124,605,151,155,182,
573,281,886,704,305,392,677,781,285,853,198,385,565,613,512,026,166,064,453,
856,944,340,537,404,447,817,973,658,011,719,049,621,842,795,953,634,230,168,
993,519,795,895,904,151,498,960,696,130,293,865,877,888,737,035,213,814,117,
371,132,105,830,610,385,101,062,166,029,910,326,872,407,416,137,983,041,866,
596,302,519,673,804,726,238,416,465,514,623,347,140,447,174,672,588,150,722,
366,975,692,842,399,892,141,774,727,118,552,493,496,455,742,656,915,632,856,
545,577,741,278,854,368,099,287,092,667,530,802,256,570,415,552,897,552,062,
879,118,370,819,220,751,353,400,841,325,756,648,985,507,227,168,835,643,797,
596,779,279,941,113,298,310,261,710,427,761,754,667,571,875,593,442,855,857,
301,078,738,853,374,896,411,470,234,150,350,162,221,225,717,556,127,903,997,
715,658,127,315,707,451,225,029,469,967,789,172,697,108,629,675,818,267,848,
329,258,079,035,981,999,401,771,148,498,946,999,645,407,359,050,268,528,005,
226,593,244,960,704,870,280,034,450,846,376,546,944,705,344,632,103,441,801,
483,838,648,165,323,044,436,205,370,631,966,046,941,140,819,934,319,553,467,
578,651,522,528,669,069,561,843,573,061,904,073,738,591,679,758,060,786,110,
522,134,088,248,296,914,674,735,694,593,900,125,085,697,152,420,914,827,741,
115,359,793,798,258,041,797,519,227,056,225,291,163,651,508,091,533,640,292,
266,216,962,954,966,424,196,568,842,161,610,729,414,902,047,115,316,057,951,
690,779,512,770,958,317,082,339,374,774,152,157,422,225,007,244,463,792,872,
080,069,245,971,462,018,879,867,281,236,073,771,071,379,003,711,198,251,228,
792,944,074,923,941,748,299,231,371,167,835,413,659,539,093,221,988,590,902,
365,714,134,067,776,645,063,598,981,483,643,654,743,409,594,004,848,219,267,
797,375,847,270,083,413,851,922,411,234,444,330,453,541,372,775,032,732,802,
537,046,279,421,275,498,034,549,101,069,858,728,752,428,701,646,864,305,143,
090,177,047,778,821,847,870,601,586,708,043,512,961,642,813,817,632,014,296,
250,364,070,973,907,335,834,217,153,219,656,691,442,527,506,576,044,646,042,
021,019,047,204,929,287,876,767,096,033,587,262,213,000,836,923,353,921,547,
061,583,866,612,515,991,444,446,873,864,245,999,936,707,130,203,831,916,459,
309,362,135,245,118,279,744,192,028,414,433,019,579,807,912,398,399,299,461,
133,052,474,818,882,409,190,094,183,222,250,948,914,948,103,511,972,695,752,
109,824,784,760,534,339,442,745,127,833,108,223,337,879,820,041,701,983,564,
922,177,665,629,238,010,283,681,804,011,741,241,399,277,227,475,434,281,626,
540,585,531,864,026,967,588,205,016,540,004,119,514,316,152,442,355,387,542,
428,563,667,032,820,383,789,231,740,198,593,189,474,846,892,118,951,341,305,
317,732,800,704,279,892,353,612,706,697,777,549,888,229,415,161,618,266,689,
142,384,765,618,475,825,108,481,597,052,805,526,177,549,999,340,424,429,074,
416,545,507,746,814,408,800,814,256,824,938,183,259,862,945,412,797,525,145,
409,950,656,251,789,400,451,245,310,181,912,880,985,338,811,689,356,409,647,
904,678,517,044,778,024,420,437,856,670,543,765,448,227,807,921,092,519,196,
994,559,932,775,055,893,242,615,537,068,200,834,640,990,436,432,013,122,949,
948,598,700,948,196,945,140,271,708,738,958,917,790,004,936,915,150,841,538,
814,722,746,402,629,627,932,708,483,663,513,225,684,927,258,871,120,873,255,
323,705,724,004,033,580,853,641,979,863,459,843,771,222,081,854,467,814,978,
538,690,465,490,807,283,834,757,524,513,195,642,969,826,853,863,335,678,455,
903,173,135,846,056,248,244,457,115,776,740,897,061,319,018,548,569,754,801,
750,878,032,657,740,056,558,641,869,798,383,645,738,698,693,860,936,201,957,
822,932,482,831,064,422,698,331,508,120,145,558,501,791,028,021,704,658,266,
088,955,168,187,705,362,865,685,659,622,828,675,068,618,879,377,123,252,245,
331,886,411,132,358,956,926,537,625,909,801,500,816,905,107,143,292,392,441,
256,131,603,448,880,149,073,701,524,480,904,531,469,804,916,961,605,174,401,
365,945,367,013,856,865,897,387,207,157,010,949,292,807,101,171,717,305,812,
054,064,653,067,844,612,425,412,495,921,386,272,353,147,911,148,759,204,553,
050,665,244,319,168,008,454,960,279,225,281,912,133,134,907,175,108,018,327,
104,378,452,033,490,349,674,074,610,375,189,768,161,979,960,277,145,441,592,
330,367,156,456,855,925,569,427,503,073,187,085,441,724,776,810,945,801,530,
252,027,241,947,468,759,250,724,288,973,163,548,925,568,254,554,233,945,908,
348,380,047,114,805,364,013,319,504,843,072,441,410,027,633,937,053,048,652,
159,940,157,071,523,903,987,995,939,056,877,206,387,403,873,505,380,539,732,
445,225,065,087,203,352,487,585,852,046,575,588,524,195,064,058,528,148,072,
195,311,290,045,958,746,022,392,888,262,733,850,685,229,511,404,757,754,061,
591,112,734,412,289,095,786,911,515,547,948,013,969,560,982,668,485,179,841,
835,962,538,510,356,647,434,626,763,129,607,722,687,764,929,424,140,310,553,
294,433,903,793,298,388,461,194,683,791,714,449,247,114,265,962,112,577,287,
432,537,702,454,093,838,769,833,345,141,746,267,075,553,523,680,741,752,065,
683,754,215,442,811,775,063,766,853,096,123,766,634,029,705,676,289,832,421,
490,577,844,706,662,964,061,895,140,929,430,465,503,531,841,895,554,357,151,
906,729,596,641,260,300,960,271,084,563,151,341,680,273,384,061,211,379,262,
252,980,422,208,800,630,056,726,461,536,325,178,588,174,263,655,296,091,061,
753,844,583,188,492,975,348,989,882,064,872,550,233,575,236,148,039,657,413,
092,538,672,635,095,603,834,682,406,622,671,954,307,708,103,751,241,173,693,
904,339,176,676,738,429,180,347,983,011,077,043,351,717,058,321,359,053,128,
747,144,111,157,061,953,196,451,943,985,879,046,870,804,457,974,463,848,385,
207,830,120,514,383,001,811,369,246,326,375,664,329,397,949,084,670,713,597,
312,653,511,862,139,675,546,351,660,615,123,850,304,974,391,462,717,008,252,
405,103,937,753,334,673,137,801,347,646,741,215,293,033,786,937,133,929,757,
974,721,104,502,060,119,732,873,435,591,107,919,404,260,232,471,216,092,629,
267,959,368,925,663,981,419,928,407,834,753,160,517,912,406,517,713,288,144,
064,449,892,781,636,250,597,672,673,196,438,484,069,804,219,190,679,326,969,
974,857,805,579,597,316,930,434,859,216,106,007,188,584,382,898,935,105,009,
923,909,774,935,836,797,501,973,454,853,005,859,965,736,706,207,172,680,849,
944,575,072,680,956,221,595,720,571,776,983,771,385,597,287,701,313,829,711,
800,075,982,144,047,605,695,877,888,538,792,492,944,118,714,057,655,235,839,
111,813,599,756,749,251,150,801,700,494,278,803,199,797,989,976,829,508,048,
578,744,437,546,207,168,141,888,671,862,769,989,087,031,640,360,686,333,460,
087,969,426,221,693,896,271,218,944,910,653,744,192,877,275,105,556,236,574,
518,714,253,151,245,441,161,899,219,373,200,655,166,868,094,266,535,890,280,
767,250,698,964,505,396,064,838,148,563,246,993,686,303,434,655,600,882,080,
774,359,736,204,148,575,334,862,394,462,105,139,819,591,597,322,580,106,384,
397,433,189,167,340,547,831,149,600,015,278,157,925,661,544,228,329,774,051,
357,756,480,827,347,820,871,269,808,688,724,941,047,102,034,813,340,184,108,
736,949,988,941,304,650,401,397,584,325,026,194,843,989,609,063,700,655,617,
877,325,452,546,943,456,426,997,613,709,152,397,920,968,573,067,539,809,927,
476,691,918,607,912,223,374,093,546,449,171,329,582,318,567,705,953,172,784,
993,073,181,238,156,249,000,563,775,467,270,685,324,707,717,424,077,605,196,
761,734,913,222,926,731,433,492,587,811,158,291,633,039,659,072,081,460,535,
704,365,792,429,885,341,191,004,591,236,588,068,606,477,557,709,866,010,820,
710,730,078,413,312,068,315,484,554,377,714,222,855,773,353,516,186,181,913,
024,631,469,581,945,330,322,265,944,731,182,232,174,825,763,844,817,296,045,
897,530,160,526,033,639,741,472,333,119,772,198,435,610,173,145,477,997,747,
244,885,168,293,058,904,186,557,235,090,524,037,650,056,004,969,684,982,660,
517,810,065,357,635,437,859,752,501,063,599,692,168,478,360,817,004,201,878,
389,536,432,732,648,292,543,526,186,729,929,281,266,533,742,976,615,970,697,
134,980,767,863,073,178,831,614,860,855,070,640,490,350,148,505,845,475,042,
703,182,482,893,761,026,605,535,602,991,511,893,473,553,194,557,977,382,379,
431,199,031,798,930,523,971,533,904,033,003,457,030,750,118,992,621,217,023,
552,877,646,851,022,764,130,408,475,348,025,839,806,544,386,231,472,845,996,
781,713,685,163,402,428,592,219,327,501,434,364,725,802,416,117,818,309,653,
650,945,470,461,012,970,058,013,048,370,104,980,897,179,782,716,506,243,023,
995,214,185,300,372,195,533,438,865,014,387,069,016,834,998,209,573,578,743,
149,540,219,680,852,440,012,787,556,382,262,600,775,690,040,849,957,466,194,
444,365,618,849,021,403,190,180,884,926,665,225,410,743,580,271,192,631,289,
932,547,185,955,928,482,727,299,758,418,930,376,343,211,172,989,678,234,089,
663,280,512,656,115,415,741,716,404,791,165,505,704,674,839,481,649,398,553,
755,919,394,227,501,559,579,352,391,771,640,507,402,491,118,798,801,157,912,
770,317,854,884,989,952,537,119,257,627,800,058,928,205,979,194,351,768,160,
602,575,433,249,873,645,988,691,720,850,844,203,199,970,864,827,408,911,279,
935,842,140,519,921,708,376,524,376,787,337,651,340,951,055,611,792,287,892,
135,534,881,406,979,948,054,582,504,032,220,297,568,109,325,298,522,132,933,
686,516,368,354,883,401,252,988,233,656,852,485,913,199,230,407,130,305,808,
107,307,859,376,849,617,172,502,735,445,357,213,514,798,819,453,349,188,542,
116,805,779,552,859,066,489,192,473,108,863,819,278,092,778,594,313,965,496,
405,760,639,619,375,381,370,394,258,846,399,979,325,076,253,601,864,174,657,
648,183,188,890,913,106,006,804,344,024,445,982,694,615,742,120,610,274,493,
738,971,397,553,994,665,698,968,697,550,291,195,271,395,549,600,641,799,375,
150,286,428,888,269,348,927,815,956,740,517,068,437,349,323,967,146,698,060,
731,163,498,428,739,237,550,347,569,269,112,151,231,712,561,965,420,377,331,
546,378,601,754,103,764,696,280,270,296,648,554,970,480,876,171,684,918,947,
631,337,023,392,314,628,466,108,143,753,432,561,440,578,787,940,336,504,967,
880,780,116,854,400,290,258,125,736,411,734,083,891,403,289,228,575,300,829,
481,049,699,873,931,494,723,073,975,241,350,850,456,598,218,847,418,835,964,
888,722,105,764,794,053,361,240,962,169,256,252,933,900,498,445,383,077,029,
423,132,005,554,284,547,097,171,365,447,958,076,470,063,827,654,210,265,798,
197,714,624,797,759,469,161,438,530,060,908,921,292,874,260,645,313,639,297,
493,146,754,800,485,004,648,020,521,028,567,046,533,924,542,448,436,569,039,
135,223,597,506,213,144,471,146,312,834,437,085,340,126,467,085,125,184,419,
607,332,992,644,102,299,263,969,885,845,967,484,597,865,526,239,182,693,852,
521,057,773,411,392,242,776,507,583,345,405,731,948,886,811,839,276,612,676,
770,237,649,050,942,412,857,863,708,743,365,193,076,892,395,690,188,039,223,
838,756,411,361,543,862,878,899,373,365,410,006,221,856,934,142,191,722,036,
270,660,846,373,943,490,409,665,891,820,313,892,888,839,572,230,143,995,020,
352,703,933,973,009,524,641,054,997,105,355,828,677,383,492,120,318,089,847,
681,277,123,710,658,816,492,034,609,446,485,433,332,665,816,388,289,979,070,
788,230,261,009,915,753,977,924,099,907,756,525,414,596,428,005,415,089,118,
742,812,896,716,503,839,726,302,804,795,115,499,215,831,356,726,394,380,060,
089,677,405,515,717,485,251,811,900,061,183,102,778,518,915,310,540,367,556,
331,992,200,783,984,952,115,472,478,475,589,098,232,004,755,361,530,074,265,
220,632,607,212,837,037,619,400,707,173,016,093,305,066,847,696,301,588,815,
332,514,345,733,548,316,688,233,621,651,254,423,491,153,462,871,537,112,905,
349,412,275,699,044,967,938,683,052,894,730,819,802,335,756,159,565,194,112,
987,942,596,048,869,132,538,651,243,932,692,076,820,935,366,467,423,375,440,
501,866,980,018,277,975,389,776,461,610,281,420,694,041,378,654,371,161,684,
229,426,040,099,121,816,361,917,030,046,602,463,390,673,916,569,111,477,153,
733,637,328,327,838,724,028,539,866,525,748,051,639,163,272,162,677,422,663,
016,889,740,668,263,392,102,336,645,171,503,918,158,143,508,218,630,651,944,
213,977,577,620,776,580,619,092,622,390,031,951,666,656,733,456,868,503,418,
193,382,520,626,335,061,527,596,805,013,177,272,799,826,385,440,677,113,679,
438,268,580,845,138,422,450,235,223,376,315,386,163,162,217,213,370,716,867,
874,111,111,045,740,326,759,635,052,005,088,393,439,455,330,622,482,066,827,
542,922,846,118,167,763,466,970,902,235,669,651,078,592,407,180,120,301,563,
151,912,716,860,827,944,035,565,380,456,709,380,197,080,691,609,739,021,540,
459,513,781,430,352,713,867,551,954,597,152,899,890,479,837,199,172,275,232,
941,546,390,637,766,805,441,692,465,907,854,039,651,332,915,537,814,548,464,
405,888,246,342,189,250,584,509,959,085,067,364,408,834,155,206,157,914,022,
758,057,672,346,332,971,653,916,534,063,190,137,921,474,138,580,623,497,338,
949,832,479,206,388,309,136,808,185,429,006,599,241,503,603,820,910,205,580,
606,367,012,716,187,368,878,056,537,847,368,405,634,957,860,951,827,756,820,
883,955,461,341,728,071,945,427,835,215,934,097,318,844,624,965,104,455,766,
293,875,254,324,519,757,597,364,982,748,267,100,785,857,893,484,106,606,863,
794,245,895,201,060,498,392,666,914,737,813,450,848,912,945,119,540,273,111,
755,331,108,210,863,708,766,055,632,274,374,654,279,078,987,558,929,113,944,
748,090,722,555,009,087,182,168,666,118,958,040,935,250,855,097,408,228,362,
971,622,373,975,746,069,248,978,628,254,079,912,927,265,379,364,174,129,591,
775,947,024,329,444,211,300,183,556,799,458,972,458,436,410,174,983,899,601,
167,292,977,491,074,702,814,648,349,063,360,658,273,451,980,934,333,307,862,
377,627,228,530,461,454,453,273,211,226,633,688,068,117,310,036,308,180,159,
563,560,649,997,533,593,446,517,947,111,195,207,005,130,142,145,047,112,346,
257,320,481,369,848,644,780,937,337,649,613,859,960,314,875,939,870,526,494,
072,255,229,561,765,000,817,213,004,654,633,080,453,483,373,177,187,790,929,
125,799,245,443,955,142,534,712,291,744,914,765,115,264,346,314,497,921,746,
617,854,132,305,609,700,767,495,028,121,207,257,883,210,661,505,461,041,638,
317,523,709,991,161,213,669,675,490,484,205,288,989,910,180,396,163,564,184,
343,281,992,247,505,292,311,165,467,798,394,686,996,378,375,840,245,579,503,
704,516,041,434,829,633,561,494,145,764,269,231,810,707,700,654,286,664,293,
948,221,946,013,913,752,720,849,776,621,757,960,838,633,590,200,626,858,449,
380,780,793,988,704,226,844,288,598,826,573,739,741,525,481,496,558,572,486,
902,221,062,008,383,167,966,266,273,839,772,847,326,211,995,048,835,471,635,
582,955,411,928,336,577,515,853,083,292,651,930,604,018,567,863,122,395,949,
217,534,090,398,021,673,106,324,113,307,693,479,325,741,857,271,279,708,181,
148,787,889,517,593,755,257,701,938,559,336,261,022,394,035,696,974,448,535,
101,768,854,077,397,611,397,556,114,203,433,261,028,350,848,269,058,320,499,
049,627,142,004,458,509,368,046,591,539,809,456,559,236,812,634,739,685,521,
969,226,532,526,208,851,134,178,318,929,346,090,965,138,942,995,632,077,426,
521,539,388,522,898,038,368,826,981,176,747,822,815,883,532,174,049,253,928,
016,124,884,699,003,390,837,365,074,070,623,233,186,526,923,973,200,936,691,
748,608,123,531,097,043,044,810,219,872,005,395,398,675,084,095,480,180,864,
051,567,663,626,390,364,635,434,602,234,290,446,984,243,666,717,688,746,075,
450,892,805,127,889,684,951,728,160,390,608,089,423,370,883,025,265,227,200,
508,870,367,480,894,434,604,155,039,106,464,885,232,717,784,262,653,266,853,
095,597,384,699,121,367,060,282,593,173,043,514,958,280,233,235,882,334,987,
772,210,164,343,565,939,053,070,932,474,925,219,844,215,611,180,874,895,212,
709,320,611,153,634,760,444,167,727,981,057,923,460,196,874,329,562,315,012,
143,829,489,494,417,160,954,573,645,916,373,885,271,689,326,856,679,678,011,
029,333,769,065,964,863,155,823,310,259,670,138,100,481,968,557,154,527,541,
863,944,753,944,357,280,932,673,996,033,223,855,461,205,288,108,031,102,959,
692,317,526,641,498,313,755,638,463,510,784,093,770,710,267,237,917,269,069,
355,950,053,907,689,454,019,998,420,713,562,800,442,046,319,213,446,145,129,
167,626,496,501,289,525,268,870,315,895,719,449,055,632,102,164,131,336,234,
685,580,653,366,335,630,108,944,998,290,735,752,468,230,710,465,827,434,438,
121,064,023,510,773,259,886,038,789,425,898,294,808,912,774,556,355,915,573,
570,708,168,080,889,304,643,350,796,305,027,151,230,504,502,736,808,308,581,
581,233,173,720,779,557,238,851,708,475,973,205,621,006,375,149,041,206,788,
484,860,162,410,176,059,115,967,874,852,778,889,432,128,902,639,506,987,367,
824,684,530,614,321,794,348,496,085,757,844,463,202,243,723,844,450,393,625,
321,623,979,776,085,460,868,599,645,906,000,744,278,606,366,447,267,966,989,
347,200,029,758,340,349,730,586,246,025,982,439,803,028,799,533,830,518,413,
078,952,214,119,669,967,068,989,797,589,705,385,270,429,694,701,206,806,298,
879,656,157,754,355,454,895,547,151,490,447,408,245,062,034,304,635,005,448,
170,341,250,167,796,736,896,952,175,093,589,881,596,444,092,467,644,923,147,
012,776,926,189,577,226,618,830,643,013,565,170,825,277,936,027,920,688,143,
200,245,226,753,478,815,456,989,783,402,122,585,024,147,244,387,014,535,577,
416,397,194,813,247,642,249,887,046,393,588,668,493,214,288,791,976,985,453,
182,374,647,307,752,760,788,337,086,369,288,146,964,711,584,693,035,995,126,
233,323,093,917,283,977,091,280,684,137,102,200,511,105,464,948,484,843,276,
128,465,191,662,492,359,083,146,241,785,334,610,608,754,525,072,372,612,981,
837,092,413,812,946,726,029,250,424,812,283,415,609,623,087,766,503,674,644,
596,157,529,816,826,158,046,567,235,721,715,783,572,280,114,271,498,815,091,
026,078,679,309,519,281,912,583,908,615,635,054,773,064,359,058,745,312,118,
007,347,550,524,209,981,490,627,288,624,939,809,203,620,249,237,028,297,486,
555,147,369,210,703,383,759,907,725,303,509,520,205,571,461,040,922,777,964,
813,538,593,383,493,215,608,463,747,581,618,583,964,048,439,932,999,153,292,
875,940,349,083,096,544,616,275,297,608,470,803,021,257,714,349,830,316,889,
353,468,254,555,306,782,176,804,067,673,501,880,110,438,160,048,511,647,636,
378,505,417,669,347,424,652,171,022,979,699,339,907,112,605,602,937,143,288,
888,538,518,960,615,121,586,669,485,403,147,991,165,853,733,075,151,707,034,
632,610,892,478,475,124,050,354,389,192,548,057,486,511,165,177,460,781,945,
854,318,727,625,605,825,121,615,529,978,564,781,353,938,409,777,063,251,617,
192,904,731,221,285,675,453,750,670,174,855,467,053,837,386,455,729,875,929,
657,068,366,828,294,812,147,249,606,105,199,810,512,094,286,759,346,909,734,
134,550,776,058,494,632,248,322,190,816,488,395,884,999,768,839,973,212,900,
294,657,323,397,285,358,373,486,782,599,612,828,380,579,106,850,428,127,686,
039,703,871,284,934,471,869,413,643,429,774,998,305,121,993,685,647,312,636,
337,118,848,635,037,107,042,345,692,515,838,648,570,979,761,513,356,325,300,
361,027,575,542,101,296,416,278,893,815,658,602,360,642,342,484,382,233,492,
354,842,201,845,024,186,727,596,285,086,159,943,258,617,912,492,762,991,583,
561,975,836,001,599,151,818,391,535,150,648,569,393,951,423,866,049,336,233,
065,018,532,023,360,069,496,108,624,739,258,924,019,523,154,556,754,732,497,
662,139,206,221,350,305,929,176,884,604,550,001,073,248,296,314,184,493,928,
331,891,081,638,060,140,226,573,060,257,688,401,130,394,720,349,168,045,491,
138,354,734,433,748,711,086,443,878,471,025,838,871,072,251,583,923,488,450,
554,767,823,550,790,113,721,117,947,056,425,416,700,793,805,577,491,261,222,
014,052,953,665,657,000,599,111,957,750,622,388,487,093,923,000,806,007,089,
568,954,513,276,461,702,603,396,662,921,655,904,374,205,619,674,488,804,075,
377,479,227,163,350,370,008,629,968,812,160,252,965,277,791,602,260,883,516,
241,231,175,009,173,305,067,024,459,022,509,010,517,006,616,798,661,543,598,
668,241,839,925,141,923,807,493,839,605,321,621,753,953,622,938,325,060,853,
639,678,476,893,732,465,111,823,523,952,610,323,853,886,009,130,575,585,825,
814,467,863,367,169,225,407,330,556,548,588,099,581,870,256,327,314,259,604,
093,663,009,088,437,210,606,784,768,398,136,699,880,890,442,937,974,688,580,
279,898,147,941,318,561,139,544,597,662,795,989,582,921,846,782,150,394,025,
233,887,045,104,641,478,498,254,809,251,658,018,094,654,916,295,360,348,322,
886,849,721,411,091,383,088,920,292,952,287,409,610,641,662,463,813,981,176,
592,693,886,596,313,838,485,328,467,693,251,841,855,365,876,269,298,108,562,
873,122,518,836,701,572,618,755,587,764,736,450,965,428,000,819,969,890,403,
491,674,526,734,738,056,090,938,299,222,950,355,554,049,808,111,647,853,322,
662,519,474,675,070,775,788,158,635,636,321,523,106,166,828,958,244,787,660,
585,923,878,506,678,036,731,070,570,507,543,801,045,531,395,477,048,282,712,
574,287,650,343,138,782,877,559,888,718,927,157,519,132,149,517,926,117,288,
972,109,914,179,436,908,614,992,122,035,499,412,119,828,910,339,732,175,948,
688,324,809,509,206,664,755,234,385,137,901,747,807,290,407,848,468,463,058,
664,621,849,463,254,428,309,871,021,319,532,382,396,021,238,531,273,758,590,
884,507,820,061,197,227,312,151,810,086,998,874,137,843,211,401,915,764,983,
169,442,099,804,578,762,114,431,262,217,018,972,637,238,455,493,326,538,620,
638,071,254,285,707,135,535,873,816,068,128,907,850,946,204,746,521,865,611,
220,394,934,243,987,790,361,223,041,281,303,970,583,073,839,356,558,564,355,
530,420,085,465,601,213,925,538,004,271,018,893,565,588,446,117,762,288,252,
348,009,595,929,266,221,015,264,095,873,247,167,142,504,079,701,842,493,481,
371,913,607,106,504,535,900,761,925,206,030,817,877,099,833,476,523,866,360,
963,669,346,885,585,016,709,839,331,212,279,069,927,693,738,264,354,625,899,
391,857,356,755,180,960,809,406,079,523,802,041,667,085,274,730,303,796,826,
365,954,972,975,736,734,602,052,154,822,090,711,239,365,695,747,362,377,100,
148,852,492,737,542,437,590,228,538,353,317,561,483,314,912,165,517,480,514,
385,334,652,509,946,042,180,591,914,685,486,693,114,714,540,352,465,747,881,
071,343,504,695,940,475,946,347,329,923,208,867,242,888,902,940,930,364,257,
731,090,690,410,955,095,579,917,760,418,956,600,640,860,167,869,042,629,325,
137,733,544,722,444,120,184,028,605,372,321,432,142,607,159,219,046,528,416,
817,118,867,741,158,639,203,312,175,303,111,653,008,636,484,501,414,714,332,
057,907,466,493,471,260,285,776,507,135,880,115,292,461,601,696,244,692,141,
603,216,621,402,965,644,248,685,827,324,012,396,946,211,164,462,340,875,629,
339,474,975,865,258,945,487,797,752,872,247,332,900,214,776,132,429,854,790,
181,897,946,088,165,535,277,188,938,588,565,784,137,933,389,049,866,126,108,
720,473,816,355,110,358,970,802,710,460,914,607,180,033,547,793,525,696,138,
446,138,191,121,863,126,333,752,563,440,668,751,125,111,679,113,543,510,479,
556,274,154,324,819,230,478,641,777,191,253,058,886,990,638,975,703,942,893,
005,187,148,733,068,256,361,327,048,019,557,789,469,168,734,412,414,960,563,
514,900,671,594,508,682,304,743,708,762,050,294,976,099,835,223,186,806,963,
740,771,000,369,782,822,746,614,432,587,928,326,710,392,977,410,104,268,528,
239,145,253,640,900,692,803,271,692,891,352,233,918,292,480,104,267,076,565,
522,698,828,777,696,325,019,498,858,272,747,681,526,241,479,704,591,422,791,
073,883,250,318,845,221,693,746,685,568,131,086,628,975,482,970,978,555,911,
690,014,886,291,923,488,322,019,476,927,323,711,906,383,947,835,109,162,625,
789,000,769,700,433,656,650,013,655,404,356,655,993,852,667,789,274,144,749,
650,021,859,860,821,819,604,515,924,553,836,479,379,716,594,183,796,653,217,
017,098,997,121,067,165,256,651,310,697,124,325,810,099,993,210,749,804,795,
663,803,101,524,872,663,680,830,964,404,935,096,688,224,467,873,339,835,835,
358,900,779,027,935,051,732,229,405,026,986,942,262,133,534,377,034,586,052,
597,517,611,335,988,751,428,986,798,139,271,006,792,573,466,703,185,517,841,
021,451,757,589,079,909,967,459,007,931,975,687,735,151,788,772,467,539,000,
171,644,155,552,497,845,027,187,004,461,971,387,480,396,023,703,457,536,881,
417,096,670,570,193,437,393,705,398,908,905,697,322,515,948,533,070,758,998,
693,344,159,886,428,943,712,230,799,461,774,893,346,234,537,988,837,945,922,
090,149,416,098,734,634,759,936,876,072,638,959,360,045,656,687,390,492,427,
335,962,643,978,330,529,777,181,346,334,659,804,931,915,397,918,609,010,531,
383,643,966,830,322,438,572,809,703,610,801,858,433,246,196,708,000,750,489,
566,885,852,220,985,175,918,976,176,521,454,311,245,302,183,812,657,924,590,
952,027,414,334,592,213,581,559,614,995,835,420,205,821,608,917,026,873,140,
324,315,281,823,194,176,873,501,266,171,778,067,181,728,152,582,738,496,510,
336,177,463,822,060,351,521,695,121,901,921,544,472,537,867,369,204,233,268,
201,966,389,115,084,423,187,649,840,519,223,466,136,011,699,109,978,996,201,
592,364,182,800,253,590,412,259,755,521,130,913,066,442,664,674,606,438,044,
076,741,559,995,159,799,369,832,072,975,581,069,218,351,300,154,690,743,004,
958,472,073,719,486,871,525,968,681,569,865,380,300,580,788,235,682,861,760,
215,655,054,400,022,927,289,717,528,623,469,235,316,079,007,615,237,602,977,
327,251,850,504,180,962,957,441,833,574,232,122,346,743,094,033,724,541,067,
894,850,879,207,967,160,014,585,683,189,444,762,660,960,286,785,621,515,173,
361,327,325,526,995,732,507,727,111,459,935,210,266,849,082,031,965,764,061,
131,489,928,596,581,365,595,258,542,967,365,891,224,422,052,811,425,301,470,
479,459,096,829,343,803,066,763,717,996,842,591,012,339,483,453,218,002,812,
229,405,615,728,480,538,805,080,861,230,888,254,206,812,397,585,025,704,292,
158,250,256,497,734,268,324,042,013,419,439,728,856,131,948,261,434,709,436,
590,584,730,963,273,170,503,263,878,676,064,597,064,310,079,313,569,229,919,
398,005,124,241,136,706,701,754,282,714,660,876,759,079,595,922,932,228,777,
420,737,675,231,449,644,335,649,690,796,820,341,803,816,081,012,615,871,514,
131,180,730,181,353,312,156,359,590,642,300,329,040,216,564,809,318,262,918,
751,969,741,447,818,968,423,125,438,743,244,919,070,306,573,917,999,179,409,
728,056,439,350,647,596,451,613,234,130,240,048,055,672,964,413,128,351,381,
688,242,898,187,276,407,072,927,378,416,473,426,555,255,272,856,430,703,886,
759,835,345,549,702,432,426,805,485,793,172,467,282,705,152,583,037,390,318,
407,942,965,288,250,746,294,239,107,848,186,128,306,727,691,443,672,788,130,
257,612,746,156,537,227,847,307,533,044,096,293,218,325,098,096,472,322,945,
679,611,994,775,594,992,633,127,215,791,712,805,080,274,020,746,658,100,709,
642,235,268,320,858,903,404,990,729,926,188,017,871,730,018,778,600,867,072,
733,635,440,126,606,373,582,553,490,874,466,633,098,448,630,486,801,379,006,
100,707,507,772,460,359,924,104,350,285,575,311,796,066,594,199,697,367,993,
477,656,282,908,733,537,329,481,282,712,701,755,569,649,885,140,766,709,365,
195,891,669,928,735,088,530,416,038,866,892,429,271,082,934,060,818,484,371,
856,909,286,642,018,513,670,380,839,206,025,696,335,355,271,681,057,552,561,
853,152,952,884,587,143,915,398,028,566,422,022,577,772,089,226,256,460,353,
455,268,497,801,783,448,724,981,166,387,537,909,401,478,345,453,444,086,638,
123,000,194,644,000,663,285,618,524,759,576,663,485,092,968,041,299,747,344,
849,175,604,414,354,425,221,146,387,929,369,006,127,118,824,392,138,743,612,
989,752,173,637,733,375,165,328,823,238,635,085,046,837,762,030,070,450,566,
567,068,814,535,752,527,315,550,200,605,207,125,619,879,734,482,988,961,065,
846,365,008,215,349,771,292,608,320,141,769,997,394,081,882,405,153,155,563,
663,223,454,756,345,924,218,713,925,987,775,009,415,591,596,845,100,905,880,
727,760,712,077,545,692,297,631,660,971,520,763,583,748,204,220,992,067,712,
049,418,109,830,746,666,871,141,032,297,354,743,031,183,356,589,367,649,965,
539,156,266,104,061,954,533,183,432,343,605,565,672,293,456,498,442,145,584,
055,717,468,379,557,707,501,615,417,877,283,060,282,002,309,260,488,097,409,
036,734,080,572,020,717,396,208,268,797,735,526,075,979,056,317,254,716,225,
210,414,492,227,984,378,086,740,677,849,508,506,985,470,432,923,715,234,833,
752,744,659,485,750,737,955,511,472,099,588,218,592,180,908,395,830,859,020,
711,789,468,409,709,167,583,462,207,758,046,227,683,577,767,825,367,097,024,
256,329,497,803,877,119,328,422,935,955,506,245,414,344,886,124,558,133,523,
280,445,301,999,533,346,802,532,323,891,358,243,778,290,411,501,746,257,126,
041,259,536,638,662,079,482,348,579,745,465,348,040,364,555,706,287,679,384,
282,276,041,516,062,884,534,729,678,517,437,329,023,610,804,410,374,564,919,
594,940,519,274,720,949,282,377,898,293,495,036,079,872,550,547,198,109,473,
590,933,817,907,179,169,179,502,135,796,690,953,539,066,869,983,703,372,542,
570,001,393,160,331,085,504,279,580,594,273,144,803,195,787,229,777,674,801,
947,217,474,640,229,696,412,108,387,187,794,285,509,117,512,741,991,791,777,
199,758,573,148,323,459,525,346,454,248,363,550,409,459,983,012,864,429,710,
265,035,379,333,671,056,244,512,011,723,246,607,455,838,681,641,123,077,166,
288,892,039,316,186,291,481,359,325,433,101,966,591,127,428,875,667,853,873,
340,076,661,035,313,546,703,649,715,247,327,455,254,188,025,859,504,662,278,
554,845,764,127,886,309,722,612,875,129,199,241,400,145,355,229,123,986,312,
709,583,285,010,460,130,901,972,755,752,372,873,804,453,576,218,918,402,579,
020,181,841,541,725,250,350,385,554,252,955,719,264,188,000,256,422,747,695,
438,546,277,608,474,471,688,570,178,739,353,776,607,692,188,653,167,865,143,
702,155,937,166,088,780,509,024,755,175,185,569,783,053,293,639,809,007,952,
628,055,695,479,088,391,671,063,810,762,581,624,977,929,609,182,589,099,618,
130,640,563,148,260,051,842,993,295,809,578,863,351,577,842,452,009,535,845,
002,180,957,470,110,780,523,222,117,883,966,822,700,505,446,189,578,043,259,
266,479,729,023,914,064,537,505,194,431,124,000,107,163,355,919,661,729,794,
481,815,678,367,874,857,101,304,433,586,922,650,622,243,757,999,441,048,781,
790,956,390,834,236,622,319,521,892,186,293,401,294,550,445,074,194,003,513,
572,259,225,432,950,177,785,962,513,153,363,739,888,863,802,711,316,900,181,
806,110,606,214,886,750,779,824,529,605,366,311,890,186,756,248,342,132,016,
148,993,161,891,072,568,261,736,802,155,149,453,995,105,092,642,927,822,561,
288,566,861,398,597,226,490,109,875,520,263,073,421,314,991,555,193,633,766,
014,749,747,615,032,027,606,594,447,440,117,376,221,648,237,372,257,397,394,
427,155,312,090,317,092,477,782,800,758,890,917,530,177,081,055,174,256,331,
738,748,532,076,834,694,358,452,039,143,822,952,526,657,873,548,756,367,225,
141,366,736,212,145,641,887,481,969,171,785,820,880,091,956,715,748,664,899,
143,642,290,981,382,738,206,941,769,637,166,525,839,242,650,038,454,983,762,
006,278,122,235,092,749,779,203,430,998,258,939,351,867,351,449,990,865,360,
686,471,087,079,442,224,379,065,636,541,354,488,078,457,614,737,526,952,291,
351,522,626,571,605,038,431,429,217,733,067,052,585,582,999,240,924,247,733,
304,618,631,036,721,621,383,996,782,589,631,645,575,638,258,709,281,359,323,
570,952,806,553,895,624,580,527,984,095,875,703,024,237,520,125,359,880,715,
891,373,670,652,830,171,218,897,835,189,812,239,850,613,538,129,644,307,536,
530,865,397,853,416,382,927,905,161,362,801,222,945,388,404,866,873,575,319,
452,002,568,407,898,927,275,748,018,667,239,093,883,500,534,444,769,282,510,
793,093,129,534,240,587,563,119,699,065,343,481,157,012,741,708,699,510,383,
769,031,664,068,574,688,951,467,119,284,353,917,658,442,114,152,187,563,150,
177,834,982,383,905,366,639,690,463,647,548,683,645,605,323,507,151,701,618,
838,808,944,161,006,238,677,657,269,758,281,029,819,901,935,132,672,074,534,
002,867,804,563,533,721,496,021,122,735,291,591,070,061,943,527,074,083,659,
803,567,025,812,476,891,286,491,315,441,098,347,068,677,410,598,008,715,939,
323,172,270,515,798,483,504,504,422,030,375,295,639,169,301,646,375,007,518,
918,659,084,116,964,630,064,157,557,214,769,797,334,574,198,505,748,520,021,
561,409,430,649,896,601,711,060,275,577,423,524,335,697,847,554,748,487,447,
061,587,749,113,439,739,934,422,063,074,901,126,022,539,047,365,439,859,782,
090,956,702,030,486,271,205,813,508,122,578,426,747,416,865,368,350,768,547,
390,997,486,643,424,869,810,076,861,795,752,687,686,765,692,656,875,326,989,
609,182,907,576,353,560,744,904,130,659,067,134,346,815,128,962,172,813,077,
735,111,205,721,302,450,435,622,052,434,540,583,570,446,327,750,395,419,795,
267,940,972,417,371,110,840,436,346,007,473,344,971,968,541,914,511,057,245,
089,143,044,340,832,386,706,930,978,243,368,439,708,320,029,084,522,670,167,
609,012,842,936,878,637,204,242,247,524,810,209,429,825,412,085,195,291,983,
944,959,369,643,838,666,999,327,205,818,697,026,294,776,555,525,769,973,388,
962,890,681,142,735,742,458,723,905,556,133,364,210,973,703,993,188,742,186,
035,747,759,990,850,137,511,199,150,939,619,571,599,733,486,258,304,098,736,
617,422,859,924,383,834,175,363,822,443,555,892,118,913,926,936,156,214,470,
257,498,222,538,139,806,103,333,779,346,091,455,181,768,333,003,105,587,340,
941,915,358,115,620,757,675,391,723,279,881,090,457,437,263,119,254,033,499,
482,991,103,310,564,843,302,808,964,458,971,244,317,029,510,695,208,665,191,
449,787,509,385,062,252,796,066,777,548,837,045,755,477,939,689,979,160,697,
249,746,856,844,377,417,179,450,081,196,971,303,319,663,536,108,455,987,327,
375,467,339,545,416,474,170,822,119,130,434,770,730,230,711,331,687,034,020,
511,865,567,287,659,151,535,336,893,758,747,084,597,854,616,993,396,617,555,
950,721,141,274,851,921,209,668,878,057,510,991,486,501,523,910,005,168,863,
704,742,129,951,439,359,730,522,156,546,166,423,735,175,251,606,249,473,358,
769,110,414,652,740,369,896,759,400,400,734,075,615,850,969,196,144,113,109,
600,169,553,493,767,302,358,019,988,964,821,819,703,909,550,458,213,455,912,
991,692,880,794,870,564,980,745,299,393,551,258,558,693,890,853,520,064,302,
018,514,400,883,182,467,478,203,058,738,440,750,292,837,868,440,371,547,195,
367,906,990,563,839,078,167,366,995,472,074,105,246,422,565,674,528,147,978,
671,943,021,214,596,086,406,015,932,028,602,741,078,927,033,578,849,133,150,
987,455,669,165,627,960,243,560,275,993,584,164,039,979,926,641,390,892,496,
537,614,585,959,991,142,462,957,281,744,660,437,164,878,149,705,485,299,907,
632,185,153,902,251,329,206,752,873,721,049,913,517,395,275,849,706,386,282,
336,473,758,464,597,958,607,917,715,482,518,797,931,048,333,470,844,406,650,
269,879,180,142,071,315,668,039,057,434,429,474,662,506,563,317,525,859,301,
254,176,413,088,554,498,432,654,312,995,003,394,409,506,179,461,484,531,370,
163,841,746,687,135,132,975,150,396,802,459,688,179,067,848,713,173,359,048,
785,090,474,672,358,155,604,459,258,123,112,214,246,444,810,921,556,562,563,
153,969,263,045,024,655,483,888,334,472,966,104,963,141,333,610,000,208,312,
601,515,569,767,250,925,864,526,794,680,067,753,352,671,736,313,651,828,510,
735,243,330,749,030,768,753,093,529,435,751,772,812,928,013,644,986,293,420,
255,303,571,545,838,782,629,655,777,242,576,301,390,521,920,073,972,760,875,
015,728,706,328,652,427,268,041,024,771,694,203,962,046,631,417,676,989,570,
983,231,025,364,270,028,747,547,858,497,903,993,203,312,775,371,928,688,805,
657,684,794,344,441,960,433,856,092,697,997,105,469,722,678,019,482,896,269,
028,936,140,411,477,932,971,635,883,288,467,852,713,184,687,485,468,663,901,
740,975,507,620,160,601,301,478,037,186,400,861,604,880,543,056,907,078,624,
222,494,312,583,124,343,017,575,465,457,822,776,639,916,449,418,064,720,640,
248,279,158,313,572,527,099,292,097,239,811,811,302,344,576,794,469,108,349,
338,513,906,094,191,549,651,819,631,206,814,941,333,153,176,562,394,827,019,
095,894,679,061,692,477,374,693,147,351,350,000,831,287,471,544,964,959,682,
443,457,255,047,502,269,948,946,425,104,571,270,629,165,171,797,406,774,477,
862,484,754,254,167,040,011,254,329,526,510,087,667,181,525,520,107,292,370,
333,582,544,288,440,570,004,211,201,956,928,651,940,691,772,860,407,434,179,
352,293,853,863,854,306,060,680,851,656,871,339,180,627,741,037,113,169,787,
585,651,190,769,473,462,682,825,956,206,265,707,636,170,939,509,522,520,250,
852,915,752,511,412,978,228,760,030,472,185,423,097,247,541,245,100,897,783,
402,985,622,581,075,067,237,785,982,468,280,432,526,490,120,051,689,010,280,
326,929,271,249,741,998,245,874,885,072,333,201,012,225,295,316,026,936,848,
923,017,559,761,520,405,753,802,593,485,927,917,172,511,792,985,217,827,248,
033,986,413,215,808,436,578,714,961,197,876,527,412,223,630,749,829,438,112,
492,688,179,954,771,834,272,220,790,604,002,905,853,209,401,034,845,843,713,
453,555,585,809,034,857,647,101,435,044,090,943,531,238,044,768,647,094,555,
479,414,839,111,832,989,664,846,243,302,672,302,088,538,110,686,208,214,371,
444,586,033,765,924,712,396,999,517,448,444,903,255,558,720,422,151,758,103,
649,130,996,926,197,787,662,685,413,083,262,637,766,466,584,884,245,522,063,
691,321,293,773,042,455,069,039,870,897,589,266,375,718,830,659,935,303,215,
306,698,299,829,155,481,360,269,066,133,613,512,285,207,967,574,207,416,263,
745,770,939,296,055,294,243,531,612,733,241,195,804,134,645,545,260,364,548,
608,704,955,123,146,224,860,866,289,621,477,981,756,753,741,663,045,389,890,
948,340,185,664,411,516,425,421,606,146,297,906,909,690,546,134,488,740,769,
441,580,432,472,956,950,027,997,446,361,785,319,849,208,212,936,015,452,405,
581,564,855,943,125,598,711,254,867,938,821,301,738,123,338,343,542,224,325,
975,701,018,308,911,558,715,516,791,739,110,742,321,427,912,666,677,250,578,
039,858,658,373,769,118,063,729,406,770,079,817,112,811,893,965,658,700,092,
436,378,178,879,490,211,425,528,197,569,682,063,269,466,072,653,896,497,193,
179,286,122,945,396,410,548,595,348,866,038,948,143,010,562,872,392,652,832,
850,753,581,852,829,612,234,064,024,810,835,185,223,703,827,709,917,428,881,
888,885,974,693,860,488,108,728,058,551,728,680,594,727,766,979,683,610,643,
501,976,709,061,852,539,883,038,037,081,539,286,417,846,258,679,090,794,009,
803,489,921,884,102,630,829,843,480,365,693,070,260,812,418,917,954,981,161,
815,994,681,835,673,819,156,135,421,399,827,955,777,327,265,078,383,568,598,
276,009,520,115,013,686,060,187,277,488,304,001,276,631,957,097,933,857,817,
311,524,754,090,134,731,714,742,867,009,545,595,298,269,381,383,515,073,987,
121,382,862,756,685,738,279,741,417,976,626,130,607,543,264,553,539,528,162,
711,144,137,793,025,883,140,386,886,042,774,750,364,340,591,779,394,369,196,
260,072,369,071,664,114,913,427,880,160,740,427,939,146,658,571,653,381,356,
620,925,885,315,307,733,484,015,663,229,580,920,507,387,618,862,353,233,609,
314,854,819,008,333,283,781,473,882,967,145,320,983,887,793,711,592,198,309,
082,625,521,736,841,085,911,900,115,078,493,678,108,261,486,868,845,512,412,
996,963,859,131,436,902,490,849,396,242,287,076,379,476,640,319,645,114,182,
013,114,102,399,748,511,291,443,871,404,180,795,242,615,114,110,794,885,440,
492,718,264,521,332,523,778,512,823,903,110,573,320,706,575,724,773,050,606,
689,709,276,939,285,286,451,189,326,601,102,503,103,851,323,847,694,111,635,
531,700,942,609,896,613,680,619,574,666,159,624,181,595,316,010,392,549,889,
580,663,964,662,483,196,710,283,409,209,118,875,244,954,904,294,744,286,661,
364,509,448,489,714,222,804,791,784,274,645,587,734,730,577,733,450,768,597,
387,336,852,172,884,263,065,730,310,795,631,673,993,221,538,682,414,802,892,
627,587,427,567,083,182,544,756,426,376,459,682,555,928,673,251,203,395,639,
194,445,089,903,119,339,806,651,533,894,588,714,802,966,598,771,100,900,789,
359,081,634,102,050,874,941,877,131,932,807,581,578,673,303,062,639,114,934,
314,920,357,329,150,165,809,281,372,030,443,756,235,623,199,535,395,200,630,
110,488,873,205,893,570,109,288,196,844,065,439,488,323,857,460,883,497,149,
055,885,595,184,214,747,055,396,183,164,922,926,554,673,109,159,718,857,394,
929,599,577,422,944,432,273,606,190,514,656,321,641,593,506,097,393,679,376,
194,343,373,357,794,216,474,451,031,774,691,977,748,287,157,928,556,729,584,
820,467,612,271,980,143,319,330,989,811,063,018,490,615,350,436,201,625,727,
965,319,765,829,654,298,288,384,126,907,074,302,440,136,612,973,834,970,121,
840,878,791,630,450,784,655,240,323,254,709,711,644,386,082,873,521,960,843,
533,389,563,410,654,108,421,468,351,218,139,699,369,846,250,680,273,647,623,
203,310,559,487,838,839,802,209,131,721,585,064,263,571,282,478,349,640,960,
689,043,319,890,570,703,878,732,752,403,879,784,141,761,473,000,346,448,965,
217,403,091,973,779,208,963,511,648,931,170,057,176,449,230,679,381,626,434,
730,842,645,295,977,867,329,418,731,468,282,833,927,886,486,842,688,013,256,
597,128,833,447,776,202,959,800,987,139,631,231,646,380,539,372,333,573,220,
603,316,347,313,314,734,278,752,542,493,485,770,218,335,424,730,991,173,327,
468,900,022,181,190,293,118,850,218,178,183,708,647,416,526,152,126,589,257,
176,802,081,202,627,168,722,497,583,579,513,924,435,310,104,822,733,285,958,
702,191,548,070,287,547,221,960,090,223,731,834,733,954,843,221,736,260,271,
506,897,072,287,414,566,789,333,750,291,966,727,687,870,587,835,184,200,464,
365,797,682,484,979,701,207,699,729,870,959,835,559,444,645,569,624,387,940,
797,355,621,879,699,182,542,560,150,332,765,133,296,601,800,421,570,994,426,
444,442,249,135,877,881,693,791,823,788,331,142,604,735,902,612,374,946,435,
978,982,518,184,289,707,510,841,902,510,783,347,574,067,426,419,572,303,963,
108,374,333,753,033,940,021,446,128,747,092,683,195,512,994,180,311,866,208,
473,471,669,039,396,695,838,159,789,640,188,399,685,897,371,476,015,202,306,
294,385,778,576,655,753,769,385,464,400,812,751,595,778,083,593,081,685,382,
085,641,791,848,082,088,822,205,951,945,281,255,823,443,807,809,268,918,489,
552,060,672,514,291,044,356,498,645,131,421,455,720,148,831,815,385,450,916,
600,072,266,477,275,979,779,097,788,433,540,996,381,279,129,050,598,374,356,
517,045,637,764,744,699,314,283,174,776,578,981,736,658,652,457,821,992,874,
466,160,876,326,245,742,460,931,869,350,317,796,581,443,067,782,777,729,084,
708,553,311,742,717,970,468,169,501,948,377,692,362,220,151,769,561,119,314,
251,519,583,289,278,477,546,277,581,075,863,791,137,318,138,858,529,178,479,
700,501,245,016,522,884,330,971,543,791,086,351,429,790,444,747,613,632,915,
843,823,021,205,109,302,569,849,642,294,468,901,474,500,084,713,062,002,051,
626,473,269,235,015,260,804,511,419,709,432,991,286,388,450,752,274,412,172,
885,504,081,247,704,210,924,799,072,730,307,927,976,741,056,363,705,695,065,
185,666,239,711,586,224,910,658,797,125,507,744,508,524,233,026,596,829,638,
135,192,361,868,918,796,287,992,532,369,633,159,321,309,181,985,473,713,593,
352,902,326,175,813,489,648,471,871,281,517,296,281,226,245,528,420,637,748,
521,035,215,160,438,961,423,705,838,500,789,485,631,337,313,201,784,533,403,
174,842,160,723,014,638,619,380,199,832,130,307,514,328,291,631,200,525,927,
809,218,955,239,050,135,713,981,233,391,671,016,602,283,173,368,343,780,260,
083,730,571,465,603,224,299,080,251,876,141,663,433,332,563,922,140,916,338,
581,243,604,711,161,959,875,500,779,542,208,429,529,872,603,098,736,239,795,
364,084,258,397,685,925,958,749,630,572,171,156,069,911,424,735,980,695,112,
017,110,760,617,354,167,509,937,806,705,099,687,867,223,959,748,306,701,105,
898,040,444,797,651,626,666,546,020,673,239,069,190,538,644,870,311,314,067,
190,294,360,541,609,371,327,985,741,484,798,511,206,428,509,713,938,156,812,
773,961,737,404,739,244,230,191,778,897,564,063,638,810,015,981,426,479,548,
503,195,623,970,518,734,409,479,965,273,727,956,209,328,758,001,675,585,921,
138,023,253,380,852,428,861,807,862,214,313,061,799,642,957,388,760,504,519,
582,446,689,629,019,767,214,897,253,780,768,111,824,997,274,770,295,204,973,
205,975,176,605,239,761,964,902,303,038,014,671,290,077,695,088,138,606,304,
840,200,521,705,634,562,905,478,732,480,772,405,259,766,023,255,225,648,859,
802,387,582,702,439,808,978,501,179,985,592,918,446,548,052,163,104,376,132,
826,908,919,719,524,513,647,532,149,434,929,448,161,859,744,767,718,894,680,
959,397,542,584,574,422,452,208,515,591,666,022,370,970,551,243,394,987,388,
135,960,150,719,539,572,756,013,867,566,521,902,524,269,575,091,566,940,997,
426,949,416,693,277,424,463,949,123,984,302,306,169,595,204,307,878,384,847,
100,226,985,951,775,157,772,192,115,645,057,908,486,633,903,265,332,328,485,
984,261,714,050,183,712,666,337,752,985,189,442,591,756,274,065,789,852,858,
915,617,442,711,084,825,474,218,007,150,214,821,298,504,591,305,936,272,518,
949,214,187,207,446,392,258,330,970,722,375,072,891,061,259,893,514,982,157,
874,248,371,211,441,181,378,170,141,943,331,029,228,176,722,574,201,642,354,
222,859,635,142,931,949,241,112,517,396,493,736,711,253,643,912,871,499,496,
416,770,673,346,564,712,543,239,772,515,810,535,140,248,779,071,782,057,595,
584,514,492,340,989,276,791,895,692,535,225,202,545,211,576,116,080,862,316,
110,066,860,744,461,874,232,089,067,890,210,121,044,699,358,989,594,993,627,
812,269,277,655,136,859,098,241,604,261,486,703,847,947,666,732,033,856,470,
768,902,547,029,703,445,245,907,555,825,257,888,367,560,793,636,930,909,459,
811,009,881,493,941,237,276,414,886,185,901,536,497,522,815,322,061,027,151,
312,149,573,079,445,468,732,663,581,327,230,512,374,781,945,164,675,398,220,
931,841,072,535,456,284,222,685,030,752,342,774,956,801,989,579,424,442,677,
880,612,600,781,262,030,442,287,650,262,830,361,710,863,450,159,786,580,904,
008,117,937,239,558,388,957,092,484,922,466,138,663,438,689,899,050,968,307,
946,062,394,896,426,360,195,353,819,504,454,114,898,218,410,739,252,356,070,
195,066,455,952,220,719,760,353,473,156,885,102,086,241,643,361,529,388,622,
715,294,055,853,612,907,720,201,837,175,975,316,601,865,890,194,178,182,701,
895,316,613,543,152,459,719,342,009,238,826,777,748,616,277,064,072,112,082,
666,848,725,753,854,226,778,770,297,796,772,524,759,344,940,635,871,773,088,
518,629,357,033,606,265,664,483,658,766,094,685,671,296,313,204,130,217,781,
217,457,075,054,913,247,030,719,702,721,982,214,966,651,311,115,045,722,916,
286,787,621,761,903,598,996,655,733,886,201,141,301,461,201,126,780,177,146,
758,575,630,568,366,026,502,223,636,528,704,115,800,130,472,822,387,711,949,
826,337,355,584,638,928,016,110,492,012,086,817,748,024,535,690,411,774,384,
590,178,836,325,290,110,165,015,914,450,665,386,014,658,900,976,709,739,222,
382,810,072,449,260,817,081,333,432,893,310,272,474,779,255,798,232,433,947,
724,636,244,214,521,436,520,414,126,469,686,785,241,806,306,916,058,983,957,
433,699,944,484,973,887,547,832,186,877,606,484,840,384,929,874,648,691,420,
002,199,219,118,365,436,664,868,571,730,914,599,559,849,461,815,192,831,846,
718,260,489,462,248,114,774,909,900,444,849,581,756,433,444,256,064,430,953,
028,751,320,939,244,707,291,778,310,737,524,009,487,416,108,804,271,496,405,
932,840,909,448,820,657,403,944,049,461,866,942,320,501,563,219,710,345,630,
885,150,078,098,561,963,711,184,441,953,292,670,110,982,908,274,838,656,937,
415,796,445,350,238,219,845,510,381,434,274,572,250,432,566,343,744,241,357,
922,879,392,965,176,406,849,652,909,360,580,420,679,126,575,668,876,670,398,
043,385,685,432,416,958,978,714,482,602,660,049,221,954,444,498,027,203,834,
476,850,777,677,398,550,181,813,827,987,782,029,044,935,129,837,014,308,102,
992,800,244,178,150,657,398,707,673,005,591,373,469,154,807,265,125,324,783,
981,927,225,490,447,521,840,125,710,422,541,016,286,351,531,814,218,984,672,
342,818,557,522,682,689,881,927,860,206,989,394,902,945,144,673,158,255,125,
488,832,782,214,876,287,002,874,426,737,948,662,921,507,606,348,075,945,598,
590,406,806,766,304,928,658,067,839,106,339,392,469,333,593,709,871,548,339,
628,396,331,694,810,552,912,280,517,449,139,544,360,357,232,368,907,751,656,
436,054,205,715,182,239,439,755,095,319,393,802,973,907,357,789,997,546,809,
482,150,386,819,037,240,008,751,944,356,962,064,429,277,743,445,277,744,455,
801,724,927,632,435,404,971,604,832,834,717,179,504,012,343,616,766,688,889,
230,838,116,576,019,568,391,808,282,335,980,030,777,900,138,165,554,121,229,
937,197,188,212,721,648,553,830,209,275,587,238,484,373,504,724,152,221,249,
267,955,870,219,652,238,278,664,414,492,162,811,384,423,329,589,831,008,657,
010,431,477,484,952,954,633,890,199,161,334,910,477,456,756,332,191,256,910,
070,991,034,969,042,010,780,682,046,124,835,154,356,231,968,798,558,659,191,
187,770,904,936,589,503,094,876,704,800,174,350,166,216,694,991,082,935,424,
220,297,569,699,487,835,052,572,592,699,436,463,908,709,196,065,824,867,742,
073,252,674,254,760,980,768,867,489,970,830,293,966,376,906,909,753,374,954,
026,112,339,919,080,430,178,578,328,966,061,075,333,320,638,581,754,160,750,
653,002,299,432,121,342,833,556,004,679,953,742,537,793,349,261,298,899,371,
520,891,106,237,593,639,840,289,341,597,177,830,256,815,692,873,342,206,942,
230,475,980,776,994,606,301,040,353,870,284,997,200,906,508,529,876,579,762,
966,236,864,517,897,620,304,896,321,514,530,518,152,473,185,660,392,355,579,
031,290,556,526,840,326,006,059,627,113,564,715,772,587,514,712,452,400,669,
475,424,824,400,259,092,418,501,037,893,596,471,552,905,801,649,025,584,506,
591,471,375,606,757,964,662,802,693,677,137,439,227,923,249,017,370,180,434,
454,806,099,337,835,165,143,059,195,747,594,152,927,422,556,154,663,202,122,
014,492,608,899,429,261,849,159,641,941,733,471,276,934,577,888,186,383,707,
368,856,580,920,359,909,748,030,910,853,537,907,432,703,067,618,998,891,504,
128,694,033,568,868,912,476,953,485,921,424,406,821,147,088,341,457,379,266,
061,405,172,329,683,635,004,625,055,301,612,664,363,902,227,414,506,085,936,
184,405,570,799,715,440,695,219,446,018,151,011,311,205,024,806,897,859,061,
316,854,578,706,827,221,606,944,652,783,525,794,132,277,642,952,311,085,810,
287,513,258,285,573,236,189,640,395,930,746,001,065,031,171,862,033,383,440,
982,452,629,592,499,925,081,316,786,394,769,273,764,383,314,499,667,506,205,
174,153,784,950,242,770,820,249,622,681,649,711,613,832,603,531,970,334,500,
630,493,671,184,292,285,717,993,444,917,967,854,343,549,422,812,349,771,981,
168,686,129,923,783,519,130,840,216,855,527,688,923,762,158,998,225,690,108,
356,588,121,373,329,975,989,319,612,852,685,478,209,361,117,929,073,850,566,
716,531,689,511,057,398,653,980,294,692,828,361,439,060,103,965,734,641,702,
365,374,112,601,909,881,492,250,621,591,851,473,125,240,503,880,266,511,383,
257,659,517,361,101,517,322,383,201,675,719,058,793,752,907,386,864,904,434,
227,391,871,539,040,209,317,004,602,890,140,501,980,277,096,401,758,857,784,
249,421,769,991,061,219,761,296,826,696,987,106,013,953,385,518,109,247,054,
391,448,107,221,110,594,199,558,578,621,207,447,264,729,390,272,181,416,871,
024,829,406,488,695,558,005,334,452,843,092,015,107,654,676,732,955,871,896,
663,138,064,076,520,249,625,910,710,902,443,280,931,750,266,040,980,677,916,
319,637,874,407,639,828,506,726,144,061,569,175,775,063,069,272,785,263,266,
465,725,009,603,899,593,808,286,492,804,055,932,186,868,192,891,106,249,029,
783,520,750,956,122,178,155,069,239,404,778,802,021,439,349,697,735,788,463,
087,142,939,855,022,122,180,602,920,633,224,682,928,101,352,669,258,361,278,
335,138,356,247,438,632,501,800,831,217,833,505,194,929,681,184,324,863,928,
192,650,801,523,915,903,723,593,411,630,213,154,544,639,040,835,175,914,885,
481,944,995,653,298,779,684,100,256,721,646,922,869,448,173,948,946,254,312,
560,956,068,745,068,298,790,582,072,505,061,427,084,951,394,246,272,832,567,
350,531,577,902,177,795,444,118,244,337,314,938,468,602,130,170,015,199,040,
129,975,253,102,617,239,041,015,955,889,754,077,633,242,063,046,200,973,184,
412,284,347,980,674,546,259,573,123,773,126,153,190,685,217,237,835,170,581,
101,666,154,796,996,089,233,964,287,490,439,907,269,513,249,544,693,054,616,
604,230,310,752,456,319,662,507,862,766,606,419,888,320,494,079,832,205,959,
608,886,395,083,096,611,223,509,468,176,858,059,659,216,595,287,267,781,336,
691,874,932,806,008,671,076,392,495,372,584,658,461,918,984,057,717,034,927,
771,523,501,108,071,980,295,581,653,538,531,320,760,851,174,117,016,106,927,
552,138,456,775,283,905,101,146,030,696,757,037,465,688,537,061,246,237,488,
551,353,266,097,030,469,138,623,171,984,859,385,673,748,340,393,049,335,118,
609,008,046,852,500,649,507,481,544,350,586,401,383,133,603,451,618,520,953,
838,199,024,889,970,126,245,782,682,556,999,788,106,794,417,681,363,915,434,
771,246,987,402,501,029,717,856,478,027,042,900,576,473,677,579,442,319,261,
556,403,844,367,804,294,167,130,611,590,809,154,279,701,491,895,479,845,319,
002,836,508,359,870,169,650,840,591,554,680,753,256,936,472,756,104,170,251,
987,591,727,763,332,998,445,036,255,617,668,603,465,665,810,496,166,088,494,
314,343,215,962,881,278,532,030,026,563,473,040,152,864,370,361,835,821,438,
163,541,077,800,941,110,612,071,066,940,248,316,653,736,270,795,799,441,965,
829,510,029,669,151,796,586,811,071,921,913,285,195,580,066,013,152,281,179,
014,685,874,978,260,871,834,627,638,692,302,144,966,565,161,768,989,614,765,
407,466,890,464,197,953,328,132,767,961,862,396,445,510,232,738,577,977,490,
479,270,438,220,227,205,592,563,386,158,597,022,500,836,481,135,507,636,279,
719,926,369,568,401,978,633,106,464,880,634,641,592,280,333,960,975,223,269,
765,716,645,494,144,633,159,953,568,186,140,306,179,590,414,696,878,663,314,
997,230,812,697,720,215,453,177,065,792,464,824,635,623,606,563,551,078,277,
102,184,774,822,453,155,351,787,971,006,169,056,375,227,399,497,179,796,604,
022,756,542,427,443,474,030,090,993,342,747,125,363,868,604,133,568,720,575,
610,634,403,627,663,275,856,495,804,503,012,418,742,706,188,173,694,424,894,
548,381,882,905,023,064,249,969,782,975,852,809,787,933,549,260,742,171,275,
934,290,027,247,231,525,694,104,299,244,672,145,106,800,938,702,037,509,419,
412,265,681,869,711,631,854,157,486,318,595,851,294,071,468,782,436,347,216,
798,087,546,997,267,428,182,237,628,760,326,097,770,355,285,686,310,605,507,
633,034,771,546,805,086,237,878,408,305,530,830,880,824,381,652,638,096,596,
687,278,069,451,768,579,666,921,630,674,565,633,617,974,917,016,196,078,251,
102,731,117,256,349,954,153,761,139,017,378,504,579,740,135,755,950,583,541,
710,594,441,187,575,841,341,567,724,646,388,396,564,261,392,245,165,328,002,
431,411,521,368,614,602,280,929,545,535,949,106,433,812,416,533,362,746,349,
400,440,791,579,024,021,624,931,572,809,881,875,126,060,817,171,094,719,359,
908,842,735,275,683,126,088,572,735,884,104,808,577,162,866,345,176,151,194,
354,866,413,839,656,005,546,415,087,322,056,966,225,165,620,461,773,347,062,
672,483,282,593,897,261,364,972,739,700,296,531,004,899,128,203,868,121,421,
526,317,709,726,027,072,003,000,405,128,509,059,816,150,604,232,068,584,704,
586,297,758,976,933,866,404,552,915,300,784,879,580,451,631,505,772,639,444,
482,726,701,869,646,435,407,172,950,165,644,481,454,899,087,472,463,699,878,
500,075,810,116,479,358,587,762,254,164,927,446,169,818,425,467,918,419,484,
465,312,190,965,532,126,660,834,979,810,276,389,173,172,602,357,275,844,408,
887,013,474,741,772,676,599,367,012,895,045,290,610,310,486,485,188,969,074,
072,291,116,526,076,548,166,265,196,124,991,932,482,079,347,991,140,841,054,
016,158,609,020,578,783,182,055,493,131,714,811,563,042,695,333,123,316,148,
696,409,847,021,948,841,069,893,001,540,750,499,715,500,209,144,947,509,092,
436,756,042,490,495,100,088,559,292,728,926,937,344,814,740,455,492,786,192,
803,028,026,208,759,138,671,885,528,510,256,588,297,722,364,416,118,726,667,
533,727,046,888,798,364,784,122,818,975,566,489,123,685,788,531,839,124,771,
260,599,796,376,955,128,748,281,790,465,473,617,346,160,181,270,360,663,301,
341,381,605,591,386,688,815,094,344,518,769,040,101,996,942,315,951,548,434,
755,461,839,738,850,286,886,032,487,872,466,289,736,276,193,616,873,949,842,
615,110,692,328,427,473,733,412,631,477,917,319,503,719,175,783,232,125,633,
187,981,822,008,358,108,475,677,639,337,600,713,538,920,325,440,196,602,664,
014,516,443,267,733,296,958,300,911,580,800,378,323,623,755,206,709,116,753,
874,038,080,034,139,602,982,940,412,645,290,728,746,178,478,107,260,094,922,
143,070,842,817,096,273,351,317,973,985,993,317,798,846,679,390,407,042,222,
339,736,428,896,899,022,472,045,191,225,865,945,652,817,279,191,771,744,614,
483,294,055,523,989,955,136,530,207,623,296,119,678,603,378,170,686,396,851,
261,839,735,755,452,657,157,697,957,721,993,813,609,537,168,598,624,746,834,
645,054,911,322,323,716,576,846,018,969,339,126,916,742,224,864,761,161,712,
052,779,187,056,169,798,652,579,941,009,458,548,999,493,870,628,213,704,946,
897,807,218,281,339,476,686,542,936,245,969,552,538,507,923,954,244,430,410,
247,783,289,758,352,088,307,690,242,763,390,607,535,632,090,458,553,860,370,
133,407,286,991,027,524,400,763,329,335,617,831,671,389,979,585,541,455,736,
208,509,448,139,474,757,677,255,178,368,879,938,985,569,596,475,085,976,199,
725,317,126,785,459,440,716,211,724,229,735,645,882,997,753,458,200,670,725,
151,583,792,995,404,284,503,609,031,879,280,999,039,446,772,471,771,617,797,
976,980,936,092,478,710,754,662,712,528,716,849,871,481,175,337,044,474,910,
858,769,536,103,564,050,547,169,403,338,253,736,455,309,408,718,362,399,718,
786,815,107,152,430,199,222,766,288,998,268,696,333,905,634,048,308,899,591,
640,210,237,684,946,606,017,369,891,450,998,294,026,306,424,119,698,961,134,
263,645,946,291,643,483,098,398,994,640,916,257,063,790,757,300,772,565,242,
448,335,972,449,095,514,758,353,846,065,151,359,006,760,372,175,216,956,633,
008,725,645,785,368,232,890,765,324,579,100,181,350,411,867,142,947,919,308,
280,313,374,486,034,242,501,538,427,692,871,310,100,422,631,150,207,314,134,
668,202,563,992,886,896,775,314,448,340,905,383,156,405,199,854,555,036,518,
673,966,171,343,553,638,659,524,691,900,237,345,243,423,825,609,315,326,233,
795,074,154,872,192,825,429,655,670,249,318,840,476,430,221,621,054,333,353,
669,370,094,866,100,779,660,176,320,085,398,833,444,764,261,022,059,276,310,
503,243,379,785,746,609,795,906,429,393,546,777,893,943,419,661,680,234,572,
048,314,709,006,513,946,752,794,276,008,386,748,956,266,938,732,385,007,146,
993,167,458,355,985,469,954,780,001,548,803,051,410,664,207,305,102,980,561,
260,240,221,957,673,573,434,378,032,388,837,861,436,510,110,467,895,738,858,
451,291,814,818,949,932,947,419,211,353,096,079,752,601,957,099,945,657,657,
203,044,711,587,969,510,167,396,345,982,218,390,037,789,660,923,237,753,764,
411,849,869,857,369,179,901,311,121,353,823,897,025,160,826,891,634,156,178,
688,844,439,106,052,431,644,458,857,049,142,079,395,490,456,382,005,531,980,
633,868,199,329,444,645,629,288,043,820,982,365,256,521,149,737,711,472,485,
061,302,980,654,845,126,646,734,819,115,165,085,592,553,186,839,216,228,613,
958,989,126,405,247,098,519,215,690,433,266,679,498,894,544,471,639,525,111,
598,382,272,611,659,461,623,072,107,720,614,434,194,904,480,155,013,217,953,
907,901,210,096,043,808,403,251,528,715,119,645,087,073,852,842,814,874,575,
359,775,442,003,745,506,314,294,434,312,985,390,922,514,654,232,590,436,421,
194,220,921,794,081,669,172,750,464,907,148,539,903,258,785,415,343,333,266,
869,970,244,004,614,081,407,275,559,607,443,823,375,028,648,280,361,200,027,
273,458,521,311,753,916,305,887,537,038,730,158,902,934,618,773,686,496,082,
519,755,121,819,332,085,158,009,498,389,028,324,642,180,756,651,215,094,078,
984,754,744,102,190,431,393,050,978,559,588,000,820,596,613,821,570,042,615,
008,454,644,854,680,243,116,121,585,491,513,527,194,524,467,476,742,265,710,
184,522,572,555,541,109,898,663,166,678,737,216,486,072,798,940,186,086,880,
078,217,803,974,568,235,072,199,726,856,872,847,072,266,335,491,115,755,503,
523,041,020,106,397,545,992,784,255,521,010,859,446,801,980,212,935,131,137,
961,774,974,777,505,337,019,561,462,443,132,004,945,260,630,008,341,693,631,
779,914,835,373,906,338,296,246,943,502,506,242,538,286,652,815,702,413,317,
213,258,374,228,133,155,075,422,596,743,465,137,835,498,082,583,990,124,848,
909,006,713,130,261,133,401,533,199,414,613,207,216,905,260,993,932,536,319,
706,134,223,276,321,872,788,344,134,311,875,265,628,120,402,509,584,594,731,
795,968,494,896,848,614,482,212,608,969,875,703,050,274,814,010,055,955,835,
482,866,563,488,862,545,958,875,393,464,045,883,473,480,929,760,143,014,549,
455,501,045,393,747,048,084,933,302,917,367,316,115,493,210,878,800,804,207,
923,081,537,164,239,812,859,270,392,808,770,412,695,912,554,937,648,084,261,
877,515,207,330,915,121,318,326,429,628,875,835,660,070,030,845,235,364,130,
611,512,591,609,010,119,513,687,777,754,089,032,242,709,565,276,826,175,989,
664,332,921,193,417,378,686,388,848,204,094,252,313,272,490,169,125,656,680,
264,411,441,975,977,490,069,382,393,836,091,027,972,715,404,518,837,129,908,
983,890,591,801,341,371,711,565,750,923,660,210,248,086,149,334,712,146,934,
915,783,457,374,495,698,158,797,352,291,359,888,206,786,995,893,549,684,495,
605,431,552,716,814,046,402,195,024,403,426,624,718,655,757,434,842,201,021,
531,851,879,333,738,790,433,187,348,357,113,441,825,632,932,332,249,155,661,
135,796,548,823,693,236,622,085,506,403,330,166,940,566,597,700,192,008,727,
909,310,629,966,446,882,296,789,489,887,680,843,411,739,774,791,770,690,612,
295,924,964,992,057,252,674,815,080,547,094,695,496,856,375,033,815,479,360,
507,318,058,910,206,335,554,507,193,429,649,774,688,893,386,907,874,030,072,
084,351,881,532,604,986,742,093,423,022,732,969,077,709,676,807,480,511,706,
534,656,813,410,907,826,027,440,577,721,859,131,753,843,559,448,941,424,637,
954,321,360,843,270,784,666,542,847,712,637,785,594,813,160,410,481,086,761,
893,024,808,629,982,920,639,612,150,418,133,246,033,517,632,584,771,804,134,
992,214,222,331,296,397,221,575,842,974,614,482,259,368,195,020,636,259,719,
069,797,123,455,305,561,480,305,073,859,471,795,053,548,642,470,738,283,215,
013,100,042,853,047,650,647,251,051,823,256,517,301,608,226,281,833,565,993,
440,498,664,832,815,739,757,241,369,820,704,306,951,880,646,032,726,532,742,
328,954,704,940,426,200,137,630,256,454,269,163,400,777,362,742,466,955,582,
324,549,330,761,281,025,617,030,854,929,658,792,678,989,655,633,483,964,659,
457,046,514,393,488,436,924,634,551,504,309,816,755,767,820,179,012,895,655,
744,614,700,133,286,408,708,328,158,380,444,925,217,196,583,772,978,701,767,
099,714,735,689,082,177,655,683,986,025,954,732,790,400,365,881,050,173,244,
224,473,441,454,590,942,683,619,588,945,598,603,994,511,099,556,322,042,752,
255,825,986,909,043,147,903,352,352,860,441,913,850,324,541,554,403,455,717,
293,191,252,380,033,137,055,262,996,751,333,395,294,333,879,235,763,994,291,
392,581,509,806,076,408,778,595,996,562,658,498,190,732,028,875,683,906,854,
742,218,378,687,965,097,490,451,664,444,010,444,011,193,878,367,912,784,049,
732,776,335,920,394,268,677,790,652,827,194,029,986,465,115,142,039,240,784,
568,943,656,041,657,237,891,521,032,285,020,386,484,101,180,851,284,683,030,
237,447,457,537,691,109,072,297,942,387,321,276,036,699,911,143,722,743,657,
569,320,034,299,020,992,086,125,340,951,331,534,786,434,127,841,702,565,647,
316,952,839,762,892,004,303,112,562,915,047,424,971,866,671,550,850,515,700,
639,730,218,574,341,244,804,170,718,992,361,492,856,325,684,318,924,897,035,
534,656,816,874,443,731,766,944,390,908,049,826,911,965,356,476,981,617,639,
538,865,749,721,391,665,343,979,780,074,682,706,780,646,540,466,362,789,525,
733,322,194,882,543,074,333,886,717,714,147,556,652,240,195,495,215,639,725,
630,943,824,024,877,104,249,100,971,030,779,862,185,188,605,709,091,984,600,
690,981,541,799,020,241,787,855,167,880,932,081,048,877,421,392,419,333,705,
739,197,983,967,147,489,655,195,037,773,709,638,715,428,199,664,869,222,235,
593,540,923,983,065,345,614,186,284,689,743,132,448,353,445,962,881,860,986,
908,220,961,300,280,607,708,090,337,264,685,166,510,830,628,351,527,032,392,
873,266,056,544,895,705,233,727,267,846,006,573,156,996,076,174,439,559,819,
471,413,511,739,423,965,420,150,813,778,674,353,030,893,364,788,017,803,200,
002,934,714,621,570,643,949,978,985,533,860,257,858,264,420,889,378,196,894,
515,010,755,434,546,483,004,095,142,824,950,339,043,138,700,464,370,379,243,
997,282,992,249,813,055,799,549,173,899,273,574,985,774,118,972,178,217,645,
760,703,066,528,023,004,928,809,228,382,895,046,370,497,238,608,676,678,854,
224,300,042,807,516,960,643,262,667,360,400,939,930,566,262,070,408,454,903,
359,499,987,827,499,239,490,364,397,786,970,158,149,168,949,271,225,736,365,
079,754,115,933,313,451,077,788,392,506,621,849,213,326,063,211,813,065,534,
473,684,159,192,315,081,126,756,865,490,957,513,573,820,325,065,645,926,546,
267,816,506,771,016,604,135,951,338,093,275,849,839,258,426,170,811,975,245,
816,176,060,982,631,589,516,355,834,058,103,962,941,267,897,578,604,725,967,
541,633,711,533,079,280,839,474,303,402,024,634,338,884,226,965,140,281,413,
580,952,563,326,574,914,294,267,346,422,141,307,386,980,797,000,090,865,284,
578,272,784,297,345,719,117,537,315,241,729,737,669,661,671,634,913,519,330,
789,865,862,381,781,502,226,743,797,144,967,765,652,751,863,398,504,976,889,
818,589,410,637,713,704,428,083,294,749,647,453,575,883,683,832,711,804,561,
991,343,559,307,526,899,464,916,140,641,392,565,625,546,124,319,501,124,085,
697,159,321,572,444,313,723,699,840,463,042,744,451,425,844,607,372,932,904,
400,098,745,024,018,286,159,355,919,643,547,874,553,559,393,076,451,701,132,
496,719,548,415,931,864,342,591,490,966,213,644,840,799,939,732,228,154,426,
669,994,640,532,165,672,844,913,036,718,792,690,992,038,342,200,941,659,246,
366,752,267,285,864,388,453,119,157,619,243,508,999,037,741,648,053,691,711,
831,480,680,852,551,203,406,642,871,776,180,720,396,838,874,110,839,499,861,
548,045,315,782,267,012,816,747,018,172,789,099,879,703,606,061,388,424,331,
983,196,721,051,728,755,535,115,518,370,503,692,502,960,674,720,257,121,518,
939,371,226,768,464,438,635,783,727,393,276,270,712,517,741,384,416,437,840,
704,993,182,110,573,836,530,864,045,943,575,949,190,468,772,058,486,678,600,
513,156,758,165,433,183,062,570,838,627,398,729,883,424,855,988,332,657,751,
901,887,709,177,183,908,066,848,910,285,429,646,315,525,869,280,967,407,547,
283,893,871,344,391,378,096,537,267,054,110,560,487,886,138,816,018,467,593,
767,421,677,807,535,896,360,695,313,949,177,170,136,322,526,838,342,552,128,
397,877,000,664,846,900,336,726,248,874,648,482,396,467,652,095,725,011,754,
187,653,368,795,982,163,491,737,990,493,020,589,954,875,702,422,541,406,716,
711,208,514,331,850,359,882,853,533,637,323,952,229,610,592,548,241,128,167,
194,338,637,724,846,276,595,156,862,817,655,087,888,405,398,723,051,706,040,
154,778,649,094,240,836,430,906,381,885,884,417,506,051,970,035,469,900,494,
174,877,805,354,632,558,832,705,961,477,244,448,724,482,369,692,475,463,543,
486,233,449,013,982,185,927,321,189,063,678,267,979,320,497,300,640,173,268,
964,045,011,829,836,174,064,115,682,766,546,033,800,637,291,811,494,407,463,
393,690,324,650,117,321,983,513,530,270,270,793,061,908,357,634,256,306,952,
766,679,484,539,764,349,228,504,423,685,122,234,251,029,566,749,959,787,784,
264,695,602,257,226,531,424,674,192,001,600,029,439,454,354,212,134,950,087,
529,800,035,665,925,091,527,862,197,435,639,841,914,749,252,989,698,526,221,
313,612,803,675,673,554,583,811,899,337,131,863,880,350,847,707,437,325,182,
009,745,704,265,205,951,451,148,890,922,327,010,644,970,566,548,549,234,029,
810,713,311,389,889,297,726,510,196,913,382,056,365,363,081,803,276,260,836,
125,770,504,910,937,193,872,297,483,079,342,986,407,203,030,521,164,363,869,
203,512,743,077,392,901,079,406,229,107,965,327,409,676,604,293,675,699,131,
610,861,360,668,558,915,908,887,748,595,575,016,669,057,729,235,961,555,658,
029,799,536,951,099,698,021,282,443,140,786,190,712,228,513,638,844,003,492,
808,254,023,427,008,512,174,914,083,108,841,348,164,496,243,054,219,277,714,
135,110,093,259,774,216,628,130,034,407,867,944,694,712,431,104,551,628,868,
546,149,762,266,737,264,462,905,103,355,288,817,632,265,702,441,329,457,537,
812,162,266,651,704,743,856,556,547,650,051,258,383,378,846,848,222,014,620,
671,044,601,441,028,787,134,029,022,602,287,887,033,466,503,812,458,142,818,
079,758,197,680,314,318,969,463,993,940,450,215,357,794,938,044,723,720,826,
124,301,720,522,553,024,408,021,010,046,545,085,053,444,311,835,671,133,770,
628,869,453,972,075,256,973,615,968,728,809,375,184,273,954,171,826,389,437,
723,974,763,063,875,781,324,337,865,604,336,458,160,554,996,325,275,373,032,
341,798,041,382,643,527,054,864,084,475,566,255,424,942,841,589,983,099,185,
193,712,422,743,117,302,553,687,041,015,552,939,270,871,158,340,852,617,454,
553,390,466,408,318,874,471,710,313,189,720,056,709,185,997,535,156,528,795,
586,930,635,749,101,950,433,543,242,991,799,063,515,985,380,621,806,730,370,
085,406,910,974,367,309,013,472,770,292,654,285,944,401,287,961,625,729,715,
018,439,373,084,886,627,295,592,259,391,533,409,890,785,709,118,509,361,265,
810,864,685,386,510,254,066,804,989,062,414,439,194,739,834,126,934,790,188,
360,953,003,222,080,239,865,082,181,644,840,447,149,274,173,321,799,951,053,
683,610,138,025,493,826,775,727,688,854,874,777,409,348,340,742,478,060,829,
312,271,572,142,236,465,969,664,825,040,430,154,741,384,864,937,888,754,594,
292,764,884,163,196,939,471,290,396,632,896,133,587,728,152,808,191,569,526,
760,390,738,861,212,060,082,730,275,366,870,519,270,344,969,026,196,844,324,
056,162,953,607,527,819,924,914,997,908,399,740,345,357,652,374,822,471,275,
943,875,875,356,124,294,708,053,541,959,290,002,003,601,120,965,165,192,098,
735,856,723,125,484,047,715,832,000,611,028,177,962,334,791,670,289,700,866,
420,143,342,819,804,850,104,466,670,384,935,186,737,302,487,951,819,633,001,
225,475,508,978,346,144,235,378,130,551,293,595,950,673,424,002,262,771,461,
625,545,722,292,612,876,422,459,751,601,182,133,092,691,705,816,179,524,989,
168,708,571,411,136,722,567,176,191,049,736,556,926,881,826,324,488,224,510,
542,085,320,462,315,220,809,127,547,515,367,893,995,869,524,912,767,857,963,
907,217,556,928,492,081,663,971,201,248,637,576,030,311,341,621,919,551,455,
365,745,899,350,350,500,568,087,289,073,804,027,778,286,456,085,019,041,587,
964,924,555,772,487,416,029,112,847,395,459,591,142,143,407,461,812,092,298,
608,504,379,078,619,571,040,141,759,112,273,585,753,665,850,825,454,220,753,
497,344,363,727,466,675,996,474,111,163,815,612,904,702,809,702,608,187,860,
935,999,241,493,688,827,035,079,341,547,234,601,710,071,949,078,003,926,214,
373,136,695,998,348,445,987,792,633,510,482,243,256,613,128,006,390,363,465,
726,475,201,318,960,530,588,879,031,341,284,998,554,428,421,086,619,256,214,
227,174,186,976,698,056,302,734,059,965,122,132,817,312,538,441,566,701,473,
268,314,379,863,232,576,159,969,536,724,167,959,587,946,574,537,660,499,295,
402,822,534,769,364,692,104,409,741,808,603,070,888,005,886,611,127,473,665,
117,036,285,432,218,089,106,607,965,325,373,392,352,050,234,660,928,085,999,
949,995,243,123,783,234,025,426,828,267,320,792,587,159,465,764,344,343,990,
810,734,000,164,447,718,788,432,075,713,546,940,836,596,266,936,788,954,328,
730,889,142,958,179,374,747,783,198,105,527,596,695,056,204,758,904,901,082,
620,734,443,661,106,383,513,590,596,924,824,696,941,733,626,245,140,171,519,
540,878,350,917,419,881,178,291,545,325,222,703,195,268,476,167,577,189,489,
479,182,212,519,724,063,911,905,466,387,153,693,122,215,388,690,853,015,186,
131,453,527,286,908,159,632,197,998,604,035,200,238,009,801,888,999,641,345,
876,902,524,952,575,433,979,722,321,597,740,477,939,736,403,842,134,264,215,
369,191,495,772,546,696,966,388,207,791,455,277,850,029,495,972,978,435,280,
929,582,231,275,649,754,865,063,105,953,212,940,880,080,105,744,226,344,956,
449,724,118,621,860,636,618,208,984,413,901,413,170,571,615,128,407,306,369,
801,208,634,656,056,088,003,325,351,738,454,760,973,950,283,118,440,810,122,
795,980,334,074,926,983,266,434,706,302,388,905,421,547,414,740,269,514,999,
688,408,366,784,295,442,945,592,141,720,899,249,432,466,792,714,578,680,590,
861,280,454,320,879,433,320,886,003,448,594,722,606,208,404,894,895,004,672,
282,828,074,528,157,870,015,252,207,818,676,794,281,431,124,664,513,476,363,
445,644,717,058,505,735,984,641,997,661,714,452,826,988,203,717,680,714,075,
113,592,570,749,380,194,468,936,181,509,264,426,337,077,762,571,043,693,612,
123,334,515,675,633,872,572,717,197,692,338,775,923,576,439,724,701,421,049,
141,123,391,507,136,129,090,026,552,087,350,644,438,789,241,809,599,341,097,
662,970,369,258,305,080,411,056,329,842,775,281,587,185,355,977,142,780,635,
017,573,557,947,492,621,525,617,786,219,372,309,226,517,579,078,681,225,121,
947,058,959,896,434,735,821,135,867,708,797,306,285,876,365,683,861,642,149,
034,059,038,940,966,856,673,944,549,755,527,864,863,827,864,496,305,668,924,
131,551,606,268,612,451,096,282,451,211,542,739,604,092,090,279,435,198,494,
088,199,569,810,334,626,895,191,217,618,824,316,220,809,901,308,623,226,562,
896,805,896,570,177,714,199,445,790,470,736,479,974,820,201,084,966,969,998,
381,875,871,062,027,992,782,512,255,066,858,337,027,420,738,509,695,845,155,
537,181,291,957,639,167,693,392,125,030,795,900,072,793,990,635,483,014,931,
728,886,756,513,630,515,281,244,946,898,512,184,953,106,653,026,532,839,252,
630,630,775,179,904,426,533,825,681,935,808,458,941,653,056,533,285,977,882,
249,882,077,095,437,272,645,886,945,137,742,581,028,658,585,481,598,381,605,
892,988,881,538,173,930,448,711,658,579,223,833,514,311,523,438,303,525,426,
292,132,677,571,742,391,505,574,134,844,376,232,882,326,202,886,149,459,423,
888,259,089,559,550,062,571,214,322,792,293,584,296,966,545,655,549,399,739,
716,804,704,203,850,106,705,801,976,877,298,888,099,098,587,858,600,767,750,
884,642,266,550,209,593,248,318,683,491,594,486,025,383,531,915,971,187,769,
064,654,577,753,950,678,741,407,711,618,051,035,188,587,576,727,193,226,676,
188,234,521,636,792,078,562,758,287,260,239,207,122,298,250,009,459,024,164,
253,671,768,312,824,357,213,696,283,132,986,219,466,986,758,290,815,008,744,
851,741,792,761,218,183,114,154,523,713,849,117,343,484,034,737,581,106,497,
513,837,975,373,657,549,772,581,399,429,170,123,276,840,426,458,448,762,288,
523,138,415,846,228,789,201,145,078,267,558,354,682,902,650,705,992,490,193,
855,597,485,291,111,610,509,948,861,180,121,847,099,003,610,224,339,765,637,
845,139,919,744,906,840,509,589,265,852,534,548,139,955,281,247,339,401,245,
503,279,878,456,214,659,964,547,577,765,340,075,572,576,033,805,124,623,019,
081,707,713,475,818,750,654,071,885,638,769,731,885,412,013,426,111,798,121,
077,530,840,683,902,414,745,964,573,040,320,786,663,509,155,713,432,384,608,
984,377,397,145,981,024,603,175,388,093,700,316,916,102,207,062,764,631,981,
975,995,374,978,028,227,087,327,883,759,063,133,056,996,761,459,620,922,513,
574,678,981,786,480,254,618,318,877,312,809,539,136,246,953,090,692,908,844,
445,523,155,208,203,456,337,022,364,923,695,712,810,303,157,381,855,414,690,
075,720,133,867,131,953,575,201,778,175,413,066,818,793,291,284,295,932,915,
260,330,448,575,841,629,703,450,625,543,544,069,576,429,212,775,212,584,340,
927,792,877,716,469,295,398,560,163,760,636,290,269,872,119,072,226,128,649,
698,800,356,944,015,815,938,974,591,195,420,197,416,918,151,965,789,413,823,
176,647,547,624,463,487,504,364,674,666,840,122,547,479,311,204,655,172,802,
502,290,786,033,981,498,422,507,409,410,920,433,719,867,442,600,627,151,516,
625,558,973,762,210,740,289,901,689,652,730,393,078,314,040,354,364,234,858,
004,228,552,425,663,582,862,755,199,395,054,380,753,481,334,827,172,464,294,
488,259,466,263,046,953,834,783,828,457,378,098,475,901,328,800,824,553,874,
720,008,347,086,965,414,009,232,265,434,697,346,065,722,258,249,289,357,775,
641,460,550,873,090,995,739,171,876,422,994,816,380,869,327,820,727,926,436,
130,237,789,863,512,017,838,292,977,326,475,921,602,091,728,992,974,366,134,
631,395,350,609,801,557,393,948,393,838,970,694,210,412,843,814,696,424,493,
243,918,772,424,655,185,921,655,556,392,130,818,405,610,966,019,020,639,042,
492,490,577,556,215,777,193,524,115,003,508,966,219,492,438,826,416,831,246,
532,805,801,141,699,537,674,457,027,661,101,095,023,110,031,945,623,282,613,
663,576,416,056,560,109,773,346,185,964,254,089,092,342,296,242,456,929,235,
068,358,097,011,276,076,956,263,899,188,632,351,186,769,063,970,659,130,704,
904,260,223,264,330,102,708,038,556,637,152,353,021,246,850,323,937,181,290,
415,831,971,483,598,096,247,688,318,165,241,741,115,880,652,747,433,647,957,
328,514,282,170,447,654,078,488,921,936,593,592,861,475,300,838,775,268,179,
101,055,565,409,431,990,011,456,193,282,010,023,045,536,161,736,525,471,706,
687,271,105,049,732,485,906,921,042,633,915,662,084,449,599,493,149,189,415,
849,175,807,806,118,847,185,743,576,568,116,798,298,096,616,573,125,611,292,
309,517,013,780,215,336,682,845,757,204,414,210,844,764,855,730,115,043,713,
117,846,808,689,538,684,723,589,630,121,526,406,359,494,204,649,564,858,031,
607,496,120,132,284,375,162,372,305,283,330,269,736,960,545,369,898,175,410,
155,287,227,185,169,182,002,664,130,725,016,377,217,736,068,485,628,149,813,
663,039,148,633,946,554,115,110,623,934,662,591,242,782,662,665,158,742,756,
927,352,698,035,381,504,438,775,474,210,587,933,303,907,181,670,965,486,815,
383,612,396,389,909,542,500,562,703,183,178,100,972,697,455,052,464,970,061,
235,197,540,175,207,716,633,633,528,481,678,600,220,197,040,502,450,712,979,
821,368,936,743,131,730,319,992,225,098,146,568,791,496,296,886,033,319,294,
050,969,358,835,014,965,424,677,360,970,871,456,284,862,614,471,278,103,576,
927,323,953,665,701,454,418,928,817,819,689,304,226,021,353,074,531,360,526,
914,583,852,102,734,856,809,866,734,794,659,043,600,017,533,802,369,867,337,
976,331,332,697,882,156,614,674,854,610,813,409,901,582,437,630,593,356,974,
799,995,415,192,477,450,023,315,919,602,183,084,382,768,814,287,584,575,893,
028,083,058,311,455,477,942,669,492,343,938,559,369,057,346,695,884,915,890,
266,476,586,899,194,229,028,071,995,014,520,259,229,857,824,851,165,410,021,
169,310,207,026,404,377,758,697,929,291,344,728,974,405,284,605,492,073,376,
112,632,169,198,072,546,720,953,352,738,104,488,729,368,801,773,830,839,005,
079,625,228,663,687,880,814,274,312,512,525,214,173,222,432,444,463,860,420,
351,016,978,905,323,806,499,733,102,319,761,524,043,520,331,396,909,487,815,
661,649,830,823,265,786,204,600,473,742,464,556,123,085,086,041,782,681,175,
842,463,010,373,369,604,968,728,706,483,894,370,298,546,978,663,542,221,162,
975,241,512,136,339,299,381,553,066,535,076,184,649,362,155,383,322,360,159,
623,638,460,838,672,110,178,844,567,601,442,880,964,051,608,090,156,015,987,
182,562,575,752,853,526,379,897,468,552,609,424,493,216,740,660,342,261,568,
774,607,248,544,379,227,944,855,666,587,377,379,102,299,062,005,549,307,520,
873,753,628,595,707,827,314,985,752,821,257,940,989,166,672,832,227,287,833,
951,890,227,767,018,608,333,782,930,077,508,415,429,222,004,728,540,951,088,
193,241,723,379,769,409,495,209,876,505,675,724,272,758,049,203,130,254,394,
249,450,931,369,025,219,045,019,287,964,683,116,849,869,432,486,073,219,702,
908,844,100,307,753,763,690,274,707,451,314,014,913,796,697,658,958,887,829,
778,471,791,023,189,799,624,245,277,795,118,081,951,174,233,140,620,945,369,
848,547,615,405,900,754,069,340,874,602,670,357,784,720,325,272,221,250,875,
269,872,737,975,721,232,424,556,601,471,507,715,612,165,952,578,845,747,773,
332,601,173,796,911,698,063,479,680,032,715,345,201,632,263,312,720,974,895,
385,054,175,282,418,529,925,326,105,566,192,433,789,392,225,384,219,506,521,
007,911,678,889,615,497,477,077,980,978,799,561,632,377,558,681,522,851,283,
177,749,144,326,986,072,211,990,384,341,290,530,045,548,356,244,303,069,558,
470,818,237,393,440,338,027,686,114,441,051,675,866,545,179,133,862,870,053,
652,126,589,309,995,862,833,878,767,415,809,290,170,194,289,329,349,704,140,
505,922,761,715,336,020,987,748,662,160,609,163,552,409,806,818,197,057,961,
458,832,349,115,883,666,879,339,221,106,394,844,166,351,323,452,855,166,237,
942,358,666,846,778,453,510,955,212,078,782,315,014,789,397,830,095,104,902,
032,360,283,078,488,798,722,710,545,747,193,784,097,743,252,191,223,323,809,
841,281,657,945,417,989,845,983,730,568,738,139,409,091,903,460,874,232,896,
353,533,829,727,249,656,146,555,587,934,674,757,619,949,249,655,306,321,205,
645,962,268,408,932,125,967,852,013,082,054,609,772,171,976,911,104,612,372,
788,668,131,551,481,375,106,201,302,238,711,612,489,004,934,396,304,808,003,
428,409,236,674,640,762,720,246,000,306,791,517,146,378,371,778,583,936,439,
084,367,407,279,208,387,407,566,118,351,846,951,047,603,523,348,219,975,102,
702,306,123,116,227,450,066,594,354,464,682,630,546,708,484,141,206,704,451,
289,761,075,891,936,149,306,746,095,511,885,219,850,281,676,854,357,866,155,
253,436,325,582,520,386,844,224,401,556,535,326,033,999,511,120,090,189,549,
945,075,960,867,284,250,112,346,454,591,406,687,179,333,885,509,759,934,373,
914,287,280,549,522,299,651,348,540,055,982,648,952,586,613,843,314,979,809,
842,905,142,521,719,562,125,597,528,813,181,993,547,212,768,560,876,732,790,
415,454,086,526,221,096,850,607,482,777,588,308,691,671,803,641,602,610,107,
189,083,474,199,738,309,412,903,192,541,324,797,166,772,131,575,227,586,219,
272,480,040,793,013,423,066,420,654,880,008,223,826,336,355,717,417,222,622,
721,821,591,121,304,900,961,015,465,978,804,819,566,465,557,045,952,556,122,
388,528,161,766,056,463,752,131,149,129,985,601,086,030,062,864,012,319,804,
634,369,790,788,461,719,477,149,150,286,387,397,875,507,196,681,078,131,836,
110,525,053,369,321,136,289,453,781,009,004,556,053,731,987,471,964,640,136,
963,428,920,149,972,490,589,696,709,305,397,354,206,213,736,556,536,605,315,
545,353,115,156,094,629,739,313,801,904,202,333,471,601,996,651,349,597,744,
792,384,313,890,921,026,451,794,753,018,715,094,179,178,866,058,733,206,397,
112,479,085,935,136,437,899,053,653,349,211,195,511,183,218,719,760,850,547,
078,583,458,057,178,253,575,650,529,208,494,774,413,969,288,298,506,834,384,
936,984,791,367,630,224,730,864,175,737,575,804,859,972,486,552,383,808,487,
169,429,984,448,434,319,758,030,013,602,065,468,251,732,975,831,130,926,277,
539,205,230,500,981,770,460,659,880,112,810,162,886,949,951,042,945,213,292,
478,762,784,472,511,523,841,219,248,693,300,264,638,258,290,400,251,132,556,
192,936,821,062,523,965,285,437,699,764,821,365,672,487,149,729,441,574,751,
486,580,072,689,712,545,780,137,001,096,885,924,859,426,601,656,149,487,174,
559,109,139,952,382,103,363,994,328,101,403,729,449,258,806,755,884,980,290,
898,416,580,728,507,385,526,750,417,187,335,722,036,154,022,595,820,604,883,
545,950,054,716,464,460,314,164,500,912,604,996,349,672,156,744,000,725,218,
467,317,881,741,294,088,309,900,099,143,865,410,154,486,900,171,388,056,594,
848,345,388,492,971,514,669,029,782,887,455,530,360,656,619,140,002,334,485,
302,603,817,280,008,006,012,897,850,948,038,109,421,459,979,436,410,539,229,
018,144,421,336,578,156,305,490,761,181,519,841,767,289,291,454,540,112,188,
221,937,769,692,141,451,408,478,356,059,133,734,347,067,335,972,028,291,565,
591,823,778,750,830,414,704,842,080,723,389,532,733,201,289,539,810,417,100,
612,853,608,197,408,183,232,599,195,985,493,978,998,040,311,427,685,451,841,
428,400,706,901,432,714,294,600,981,672,002,637,465,080,944,960,512,143,697,
837,053,150,749,455,974,178,640,819,524,352,927,608,533,623,728,803,574,707,
617,357,375,773,990,768,395,857,867,945,814,433,115,129,311,940,048,751,164,
557,809,545,746,106,910,831,933,570,239,938,831,101,686,812,555,051,747,952,
949,232,111,054,419,716,932,864,837,216,533,395,704,707,317,781,619,341,056,
766,411,026,920,785,240,356,420,080,476,539,385,068,474,277,448,343,062,786,
452,047,095,417,037,311,296,018,432,449,817,423,518,254,468,379,104,078,114,
897,074,467,642,622,684,835,258,245,673,449,064,817,918,611,344,372,466,915,
094,025,995,960,187,466,227,692,659,094,816,042,585,541,014,907,377,821,463,
772,349,343,243,817,959,026,624,758,645,149,413,515,935,616,162,722,046,127,
423,579,634,998,926,511,639,551,663,187,906,388,292,563,248,288,776,952,344,
430,891,262,538,517,746,357,104,361,426,291,130,545,507,117,159,897,435,144,
420,327,553,303,963,487,372,382,769,062,113,241,396,755,992,197,962,599,789,
378,977,304,290,010,639,554,562,554,136,859,125,177,590,542,079,215,614,690,
070,049,564,494,179,641,502,727,285,120,583,294,145,733,820,769,182,124,927,
482,831,866,941,171,431,709,188,183,832,787,924,818,800,934,202,088,744,430,
799,114,495,268,975,201,104,290,863,068,880,330,536,278,173,719,607,563,609,
191,218,373,874,499,015,807,588,800,524,778,631,244,006,596,385,214,222,953,
668,062,050,231,968,364,491,114,885,813,012,563,214,796,113,123,516,849,484,
889,850,435,148,428,575,556,852,849,545,804,175,046,563,479,385,204,260,692,
121,659,410,624,280,200,883,509,442,856,277,106,952,128,390,042,918,485,045,
622,401,202,736,343,563,057,068,116,362,847,992,881,451,950,926,106,945,638,
476,200,851,842,378,830,127,883,466,696,243,474,975,649,052,751,652,983,106,
783,605,185,505,135,543,060,948,045,812,683,208,690,781,631,606,816,743,729,
179,215,894,355,309,931,786,789,353,351,617,314,065,248,122,149,220,776,689,
924,536,974,723,424,459,511,290,202,083,492,350,883,272,623,920,731,507,039,
557,610,926,050,708,031,922,326,653,617,772,973,749,718,476,662,675,103,349,
600,138,955,784,800,239,024,111,595,222,659,608,502,327,235,634,466,286,989,
213,117,326,220,777,412,783,799,239,477,376,325,771,600,371,840,692,675,494,
785,486,079,521,104,198,183,715,565,636,699,530,824,323,913,478,492,990,309,
019,021,482,754,159,532,553,011,827,707,465,493,846,636,856,478,340,952,101,
645,493,453,362,741,291,142,154,539,810,463,896,916,877,251,977,350,119,106,
409,072,765,901,761,440,238,520,003,439,027,930,302,290,102,450,959,065,960,
960,602,282,003,506,421,424,551,511,503,116,058,836,867,323,953,513,047,999,
926,266,124,788,860,858,065,819,556,860,649,747,800,363,924,208,004,277,155,
045,455,100,923,632,387,632,434,755,085,482,247,332,642,527,142,617,476,479,
309,213,593,515,650,142,210,579,930,872,927,518,566,931,963,208,035,850,811,
648,572,654,948,620,153,724,647,914,968,855,961,421,873,072,879,575,894,522,
673,798,382,860,231,469,825,359,513,433,622,869,164,939,253,848,555,650,942,
590,844,587,900,275,101,021,588,684,145,921,991,246,203,394,025,619,806,513,
829,003,974,022,586,282,875,055,090,532,883,216,242,291,842,005,347,516,861,
118,535,934,072,988,312,567,533,760,347,773,463,790,060,900,448,290,676,023,
412,613,914,244,840,179,721,879,650,112,196,552,348,252,796,916,361,875,318,
414,933,798,531,706,396,539,949,870,471,851,899,970,837,079,186,455,569,802,
165,906,009,210,326,734,619,537,285,184,983,449,377,413,518,702,625,933,101,
846,616,367,712,774,216,937,766,398,327,442,411,592,170,354,306,697,307,063,
349,750,705,234,004,459,455,345,337,382,692,051,680,733,655,973,049,659,577,
405,257,909,237,563,271,233,784,648,538,758,124,673,393,512,657,463,997,246,
278,431,166,803,105,221,373,410,521,023,762,173,248,038,724,145,546,118,175,
530,532,289,698,460,210,594,334,721,325,267,807,591,635,520,353,144,894,042,
994,945,540,083,896,346,485,426,227,496,681,378,860,479,470,454,476,948,645,
181,732,954,064,802,168,348,362,450,650,349,212,116,212,015,744,107,950,092,
926,798,296,947,381,897,886,525,341,078,036,629,245,967,003,200,213,095,061,
826,298,908,574,442,325,932,332,162,985,256,626,822,170,825,896,177,290,745,
828,554,384,025,296,610,291,897,145,570,260,119,255,051,022,621,032,681,859,
291,492,674,594,360,952,747,338,738,756,530,329,000,868,732,374,158,410,130,
060,619,395,378,228,602,051,642,040,335,980,210,327,694,266,369,584,639,087,
720,448,203,599,920,662,364,180,979,461,382,128,085,233,519,523,912,928,316,
821,038,327,370,881,471,009,387,461,240,381,882,736,024,248,655,381,956,086,
840,326,075,711,360,208,224,095,360,404,912,194,022,062,886,050,138,434,866,
934,685,697,595,287,173,103,515,918,079,309,273,531,973,026,587,700,450,154,
176,794,514,662,471,076,123,032,048,688,972,293,703,137,070,497,019,628,557,
994,068,034,805,366,533,646,925,757,157,168,537,241,775,017,017,173,716,974,
059,313,704,088,576,733,299,174,563,423,255,040,362,721,513,678,174,573,510,
390,798,994,340,930,161,719,285,894,333,256,344,937,597,717,205,282,626,588,
758,689,029,597,400,088,293,893,319,833,305,832,411,308,222,567,119,811,364,
288,580,723,790,649,184,717,920,389,291,577,478,120,875,747,626,717,004,489,
296,528,456,208,430,608,907,016,756,494,046,913,308,833,829,489,895,199,823,
424,826,410,947,514,607,252,179,406,160,103,943,058,779,440,435,786,068,101,
165,856,614,313,303,326,086,401,358,717,406,319,279,811,585,791,218,766,403,
498,655,509,124,503,897,307,884,058,589,658,528,560,871,033,703,010,050,463,
788,112,864,036,912,732,859,256,954,235,191,665,732,776,912,741,297,062,921,
388,676,762,537,716,828,947,454,361,783,584,617,137,547,025,589,392,973,916,
469,011,321,032,602,474,082,822,638,093,868,640,914,312,578,241,429,779,656,
649,531,828,784,868,332,614,298,811,545,326,087,248,512,707,388,873,174,711,
758,002,178,223,092,606,202,337,108,033,037,045,421,386,407,975,116,144,032,
814,114,030,966,806,606,838,460,030,822,606,841,296,934,582,334,481,336,002,
950,570,298,194,473,092,611,001,724,404,461,482,959,668,334,802,338,703,608,
357,533,874,853,644,255,951,249,526,055,833,620,933,320,420,820,441,080,261,
389,879,542,073,568,677,823,989,465,944,080,943,076,106,717,383,856,858,750,
318,654,305,858,714,460,372,092,934,450,702,478,138,458,589,547,002,334,631,
151,816,242,297,933,998,260,339,293,760,732,703,996,540,860,141,095,002,136,
061,681,888,593,247,364,280,732,996,754,281,000,443,180,744,344,509,574,563,
140,086,728,395,100,089,591,848,268,485,035,547,297,898,776,206,665,518,391,
289,252,332,190,990,652,534,429,889,026,407,872,642,309,613,728,981,956,429,
425,889,488,918,907,321,158,210,112,235,639,581,192,364,871,725,142,532,324,
960,089,855,304,044,410,455,930,544,720,660,640,544,237,400,581,570,585,789,
710,124,691,519,436,303,766,257,032,821,241,395,304,922,496,823,623,852,244,
647,819,607,111,285,286,390,776,934,833,943,293,176,162,673,394,999,356,519,
608,127,397,446,202,589,279,296,282,399,402,508,234,561,399,540,036,933,802,
052,190,710,888,188,412,828,702,642,770,351,222,831,163,627,318,867,852,900,
800,601,648,676,498,675,044,380,892,564,987,041,565,254,993,289,417,400,534,
564,146,801,392,248,619,177,342,299,883,548,234,210,464,123,076,224,342,153,
453,872,994,465,367,013,204,263,692,143,330,544,138,982,237,809,661,455,848,
585,321,016,937,289,442,321,958,409,883,799,749,826,009,041,781,374,121,964,
721,091,460,947,519,409,632,581,228,772,905,405,108,696,834,837,116,705,014,
687,899,905,376,322,343,063,234,351,130,702,089,491,148,462,828,667,068,827,
660,566,036,507,882,061,827,029,810,254,696,229,820,441,224,101,369,370,087,
368,132,241,910,864,512,169,353,132,224,433,838,589,114,764,529,766,070,597,
307,640,617,411,896,340,273,196,830,668,942,386,881,815,445,817,009,264,275,
803,808,972,725,954,005,766,540,941,390,495,828,847,541,322,773,246,045,363,
816,282,208,510,725,742,183,656,047,749,879,799,033,642,510,421,832,947,329,
138,648,853,181,892,586,390,163,940,563,638,421,397,866,817,037,646,452,084,
250,727,051,795,682,052,896,345,974,488,266,308,175,325,324,091,331,037,572,
321,527,499,967,159,797,003,477,084,892,206,989,142,627,765,803,300,974,076,
185,879,610,106,698,302,237,427,442,413,127,522,645,379,696,100,648,849,317,
720,111,082,034,085,955,066,045,530,673,437,145,951,948,495,531,029,723,417,
125,534,745,161,265,165,710,811,151,518,657,679,396,438,621,790,930,933,960,
576,530,616,763,888,291,857,480,416,660,587,660,230,607,543,836,664,510,107,
563,114,406,003,060,140,262,872,842,841,578,368,600,604,321,720,019,261,240,
447,978,623,096,968,612,143,431,339,256,819,565,774,767,166,771,260,675,768,
150,448,807,412,287,898,880,070,625,359,974,312,800,763,881,214,302,052,037,
596,861,272,571,932,284,728,459,112,991,645,115,165,542,838,388,157,015,006,
262,192,502,885,770,429,677,264,978,202,144,715,338,875,233,551,769,081,951,
350,299,310,759,104,183,151,864,381,491,306,940,737,003,930,802,890,753,540,
984,455,104,613,990,181,238,086,409,401,125,880,406,349,869,656,340,415,176,
530,164,631,273,769,836,791,500,102,275,333,329,088,893,897,865,332,587,233,
708,123,886,741,877,549,671,118,354,816,640,276,728,980,940,579,393,694,897,
377,448,396,287,121,143,053,200,137,208,069,270,611,954,674,144,245,356,973,
477,601,364,555,883,744,948,737,173,968,668,887,943,185,945,140,822,671,292,
179,434,704,199,311,787,512,826,404,426,752,791,242,475,722,665,575,010,400,
877,698,684,071,039,626,493,268,005,672,431,068,418,552,933,084,980,812,301,
968,824,699,471,906,230,863,038,725,084,304,195,092,934,267,165,705,645,295,
777,862,556,635,537,985,238,743,198,286,993,208,507,686,124,975,671,080,832,
818,481,614,804,978,825,618,288,041,622,041,854,189,864,105,656,356,384,909,
881,732,270,129,966,430,379,867,715,443,856,798,218,002,884,421,577,772,356,
103,350,806,028,793,720,428,683,350,532,224,484,660,210,568,134,737,227,477,
643,938,314,120,639,228,425,532,753,636,571,330,262,622,105,889,810,924,339,
587,266,068,280,934,649,000,347,934,269,385,605,812,642,302,121,845,676,722,
200,843,044,422,211,543,776,038,343,838,395,984,965,737,655,775,598,582,847,
541,968,107,242,476,082,024,052,985,451,367,746,667,224,286,954,298,181,060,
861,498,419,600,651,934,462,267,596,616,568,637,391,671,798,434,472,694,214,
686,580,738,579,270,863,927,496,812,399,975,028,779,804,678,985,536,471,416,
498,234,850,416,652,375,024,185,723,102,672,567,413,869,897,384,481,781,205,
196,186,846,703,686,110,717,681,673,376,946,830,948,879,379,962,654,994,190,
305,116,025,953,333,869,903,791,334,482,360,721,432,553,398,772,425,807,435,
695,496,970,298,221,109,267,505,153,334,107,957,928,457,465,369,296,593,034,
217,674,177,427,734,954,310,783,591,096,978,113,225,346,261,739,872,067,146,
608,796,404,753,130,507,911,780,887,564,748,553,683,954,379,950,383,061,615,
638,566,186,862,861,955,119,305,618,225,064,013,897,450,139,757,334,712,960,
532,724,092,167,305,029,879,425,045,358,938,163,483,378,159,222,471,156,983,
932,897,395,451,893,245,445,209,815,360,477,912,598,363,653,534,349,335,646,
328,651,470,990,234,773,729,469,374,590,624,294,344,727,136,813,976,898,772,
930,309,316,299,920,645,723,266,947,860,835,690,986,679,381,035,367,296,538,
197,493,530,247,160,732,416,259,036,125,268,320,609,973,104,324,988,050,239,
410,324,640,678,355,627,663,520,963,093,723,541,327,571,001,417,997,790,341,
092,338,407,150,098,005,558,592,611,688,274,951,620,149,418,896,232,678,449,
212,822,175,719,950,362,929,476,170,851,910,479,796,907,895,527,588,560,928,
620,437,147,419,134,375,690,880,898,868,574,831,049,015,221,416,056,231,373,
394,430,123,864,144,024,719,551,280,792,185,547,718,246,572,948,800,574,231,
416,912,145,674,803,233,486,901,885,681,491,885,555,621,215,522,434,682,795,
883,425,440,223,787,236,201,147,165,243,512,604,416,241,345,366,404,337,731,
613,703,865,766,018,296,312,554,625,137,927,024,590,860,870,218,352,271,395,
066,472,066,633,881,266,725,751,683,354,164,828,771,826,940,478,186,178,508,
034,575,952,155,690,172,611,360,486,431,751,899,601,855,356,972,376,959,973,
531,943,547,915,657,490,667,595,850,409,756,864,836,845,636,958,708,768,785,
333,514,823,633,116,288,982,383,928,751,415,289,488,016,114,309,017,094,319,
985,831,985,801,252,625,557,006,991,074,935,009,439,067,812,052,834,160,153,
698,033,177,641,650,149,644,370,493,603,584,050,786,711,574,670,734,441,659,
818,245,553,559,155,084,910,897,163,558,619,474,800,031,376,144,401,454,215,
430,593,345,990,901,203,926,460,277,035,349,953,030,035,708,504,899,286,618,
883,792,984,486,671,290,216,139,844,753,292,479,177,294,093,575,347,286,113,
423,225,861,829,833,316,622,467,484,165,674,556,711,206,653,717,143,058,540,
754,363,830,650,653,048,682,553,938,641,301,857,668,025,958,900,138,719,861,
695,922,191,392,712,144,016,600,721,555,017,207,177,553,231,223,734,590,784,
978,445,842,557,862,881,835,037,250,296,205,253,937,945,973,302,278,699,396,
616,418,692,393,097,956,049,387,917,045,781,857,834,161,676,736,137,684,561,
192,900,706,134,301,682,852,582,705,801,734,130,290,285,401,207,649,161,358,
317,486,871,231,123,900,280,483,226,581,532,905,356,018,660,446,971,250,634,
717,145,875,872,853,393,940,449,118,232,972,111,416,264,847,248,863,618,014,
581,265,529,850,847,689,668,985,334,654,901,541,994,650,565,986,242,166,446,
292,277,202,530,094,068,468,446,228,573,915,044,920,115,357,251,877,323,822,
362,316,920,788,015,111,558,560,893,960,628,133,950,600,846,512,994,677,090,
068,212,262,858,003,050,120,433,865,203,594,132,005,800,927,005,748,534,431,
870,538,478,432,109,817,219,972,570,821,475,295,980,695,274,294,839,393,715,
290,561,730,251,576,930,446,342,047,912,477,145,922,233,555,464,212,620,960,
731,330,651,338,730,439,303,149,448,104,154,947,183,126,583,455,237,071,437,
588,478,974,254,281,465,008,227,029,225,544,340,353,705,148,425,934,001,106,
663,571,770,550,108,044,456,997,791,446,287,864,353,470,764,008,160,919,326,
254,591,467,142,637,601,054,690,459,795,765,573,380,827,686,673,423,021,102,
165,492,266,662,274,549,321,594,449,533,151,768,734,474,753,558,138,352,937,
887,878,087,607,461,304,374,272,653,548,232,019,883,591,648,134,726,761,668,
463,932,510,100,596,245,972,377,838,651,471,704,012,449,824,785,366,311,819,
688,077,235,750,153,766,555,414,512,095,918,492,783,653,659,423,532,542,542,
807,245,446,712,768,108,499,289,244,102,690,701,569,230,475,413,977,044,094,
202,206,048,276,948,278,499,590,116,315,417,318,876,335,319,636,693,809,208,
344,174,413,547,212,102,464,165,594,327,939,375,710,517,091,503,635,789,522,
479,323,275,405,330,932,940,503,923,699,473,715,724,036,624,167,685,335,806,
848,111,589,528,988,039,577,190,154,426,958,206,368,489,035,075,918,607,622,
656,004,669,751,631,845,638,737,584,922,277,339,356,781,203,697,738,403,421,
260,685,095,913,918,863,767,585,889,143,808,089,396,217,466,669,370,537,605,
745,587,553,515,627,618,770,325,670,364,760,479,170,998,394,933,843,175,363,
382,575,792,155,705,382,946,457,218,409,052,257,450,777,011,920,589,406,707,
223,440,698,692,727,193,605,235,238,069,344,221,820,688,800,809,899,769,459,
184,417,216,499,953,386,371,608,279,372,880,494,991,597,032,447,639,093,593,
582,117,419,154,275,582,260,103,657,904,732,721,662,363,758,819,505,916,112,
218,269,986,460,617,617,363,356,811,746,676,803,468,806,784,914,469,234,399,
822,436,787,733,110,026,874,652,217,931,660,889,971,260,526,614,265,022,538,
061,507,615,047,780,241,199,575,048,924,464,293,011,844,058,786,488,156,490,
763,712,101,612,727,659,485,206,053,849,296,905,038,720,990,570,960,267,504,
718,699,585,069,935,584,300,672,005,345,029,731,592,212,412,988,832,007,416,
571,438,654,884,582,667,513,244,786,578,188,703,611,618,819,620,994,157,503,
431,556,777,171,393,925,839,568,104,864,107,102,944,901,354,648,539,029,891,
348,426,742,006,908,799,431,099,379,327,726,253,805,499,885,630,685,161,762,
295,422,780,172,058,446,617,969,361,070,374,042,506,917,323,945,417,454,700,
263,137,812,022,276,915,756,607,718,319,903,228,493,378,431,997,774,303,451,
688,460,478,281,093,650,032,552,156,794,900,984,014,267,663,016,585,391,070,
728,268,759,374,880,465,448,887,161,653,571,644,706,468,511,670,309,926,445,
842,617,759,239,602,342,511,823,946,314,882,157,341,869,868,384,312,567,066,
490,832,150,669,417,377,001,437,646,454,631,430,684,596,034,191,670,711,713,
624,362,619,177,758,007,098,950,072,891,991,656,268,482,489,514,322,904,627,
822,476,068,875,446,056,836,318,529,391,513,591,027,547,190,982,128,649,618,
766,281,491,416,820,781,262,705,169,649,104,849,886,680,933,237,463,251,755,
253,686,079,144,616,789,321,402,821,449,139,530,530,645,165,011,337,239,672,
980,852,713,391,057,321,135,012,586,631,822,595,383,653,452,779,610,310,770,
755,123,115,445,904,009,991,549,762,904,407,950,766,922,354,339,900,625,011,
700,881,940,827,755,809,122,600,478,392,249,953,227,055,192,431,448,388,801,
233,333,968,711,844,824,860,371,047,132,488,585,300,045,675,056,665,337,510,
579,871,439,371,099,803,011,103,916,452,432,318,476,197,940,554,828,242,553,
059,423,575,295,655,981,345,792,368,016,049,381,558,622,524,161,659,872,264,
366,115,779,158,807,447,853,486,330,286,177,668,552,500,245,469,507,613,153,
793,193,997,392,843,250,315,069,321,787,310,922,927,385,100,810,765,892,563,
505,431,733,621,767,370,669,837,543,467,664,301,893,557,024,839,753,899,824,
945,449,381,347,133,224,734,379,686,889,152,091,043,451,439,261,735,939,557,
515,657,711,502,353,548,828,245,643,631,899,240,292,300,914,137,753,212,923,
180,792,231,991,710,774,678,566,812,211,943,955,027,639,359,974,914,013,462,
587,102,919,576,931,729,031,098,591,595,585,230,039,472,164,941,329,861,938,
477,196,657,254,999,336,843,603,687,956,574,799,686,886,199,336,924,538,415,
193,384,483,047,573,876,311,037,460,235,820,595,944,914,708,974,796,350,118,
854,547,147,561,255,995,290,243,192,621,731,521,651,025,239,211,702,657,075,
198,883,318,629,855,806,037,670,392,562,723,178,364,284,809,582,432,952,985,
042,128,659,617,964,707,349,437,512,025,019,452,205,308,912,560,197,950,474,
684,758,265,763,266,958,402,488,110,803,814,643,251,680,514,156,525,632,251,
033,824,380,595,922,587,423,617,653,870,130,965,491,143,154,704,235,390,264,
022,072,364,648,237,242,886,662,670,333,528,145,727,326,936,084,622,286,638,
122,910,421,565,319,298,518,627,672,528,870,531,942,981,680,537,428,617,077,
130,701,383,567,431,412,992,140,240,499,374,664,640,010,767,892,444,713,494,
982,041,252,446,409,463,857,875,227,472,446,132,370,746,061,885,494,141,569,
269,184,819,002,338,125,546,190,092,961,091,776,394,489,584,614,732,390,657,
406,587,280,432,353,773,282,401,192,965,418,300,175,036,445,693,631,458,217,
692,145,737,555,819,788,217,008,453,714,355,013,766,928,269,060,227,276,067,
683,291,353,326,457,562,989,733,233,636,478,340,055,431,850,737,887,102,713,
288,334,946,930,479,133,792,157,164,691,890,633,667,727,624,119,654,539,452,
192,783,989,328,215,111,387,911,459,072,324,090,129,521,658,407,848,179,862,
491,694,005,616,882,915,198,929,737,824,160,723,036,815,003,180,764,780,010,
815,014,438,454,471,280,869,152,528,182,454,556,348,154,681,943,215,796,988,
943,864,332,305,318,863,544,151,166,912,388,512,914,668,729,206,379,313,367,
897,966,985,699,267,012,074,452,079,569,445,871,495,156,202,262,022,242,553,
935,626,534,160,743,140,712,445,004,224,617,040,505,090,587,728,022,831,634,
028,144,306,232,404,948,327,930,059,073,041,590,486,344,298,291,214,800,200,
843,429,643,064,635,770,492,182,935,789,295,997,385,566,073,865,710,344,003,
333,972,531,331,543,884,505,307,501,856,530,021,331,861,922,467,243,749,739,
596,870,083,560,245,610,998,012,489,945,428,710,711,626,890,028,082,858,353,
215,053,946,417,558,230,596,420,637,890,093,472,350,032,809,753,607,657,701,
786,628,549,076,147,928,749,135,146,413,721,162,376,754,137,666,386,931,306,
268,037,859,118,264,955,913,451,500,023,685,979,187,801,170,651,300,355,088,
379,167,930,058,118,861,755,581,169,783,485,289,351,798,891,902,336,864,709,
440,327,539,344,614,831,789,970,125,083,472,184,060,421,979,838,211,946,480,
527,390,371,104,799,400,341,096,719,624,967,194,773,750,109,776,468,727,002,
426,982,004,020,805,699,250,540,326,673,809,350,757,743,063,585,622,876,364,
554,380,641,791,864,709,461,474,382,151,395,855,769,729,850,201,628,361,135,
024,197,267,203,380,995,045,276,379,691,461,944,460,784,505,599,891,595,154,
271,742,971,855,274,027,890,830,569,117,968,904,512,249,997,510,686,695,278,
136,478,654,666,881,916,317,624,659,796,187,414,769,444,310,292,666,037,112,
950,961,224,152,481,896,404,266,563,844,310,834,283,018,471,792,897,494,179,
239,892,993,691,824,084,758,743,994,069,662,530,148,660,654,447,633,387,312,
369,019,590,342,096,774,664,695,863,418,951,659,404,914,797,337,007,133,658,
812,671,941,552,704,106,069,508,004,718,502,376,847,574,648,487,719,871,649,
939,886,667,068,404,449,195,622,242,695,619,700,228,885,551,744,849,071,084,
346,839,141,451,878,682,458,757,596,281,071,548,081,977,995,286,679,677,121,
266,129,553,911,172,959,038,593,923,762,676,732,239,138,918,250,266,244,556,
890,519,832,430,995,924,901,803,912,019,840,506,604,016,323,715,662,954,807,
516,651,971,836,988,383,463,086,752,479,830,149,580,266,046,246,459,994,653,
920,973,314,270,369,817,791,540,337,548,983,488,840,709,614,066,950,810,447,
129,881,358,710,416,589,580,688,455,623,788,717,387,588,084,849,165,597,734,
998,303,545,027,392,896,507,214,460,527,290,971,124,674,043,366,566,242,383,
712,153,504,065,131,351,051,253,804,561,805,601,323,462,927,989,487,651,525,
301,859,947,483,350,617,462,849,326,847,269,570,383,784,025,312,287,785,326,
526,985,609,336,038,079,957,444,845,544,938,964,391,170,814,043,233,271,999,
709,110,608,334,590,086,387,355,061,739,518,630,760,214,050,696,951,336,720,
676,342,804,187,932,458,916,446,984,541,626,226,818,313,976,594,565,261,576,
534,309,897,235,097,022,768,321,901,437,180,868,958,497,437,751,332,848,009,
175,137,591,988,316,425,899,266,737,892,608,784,052,729,153,171,271,713,221,
377,314,127,001,618,578,909,549,066,655,077,764,063,392,639,517,946,690,420,
518,024,338,408,195,150,963,014,280,722,746,970,797,036,503,605,907,770,065,
083,922,042,599,288,877,912,610,257,215,287,139,456,711,391,087,036,849,939,
152,843,489,667,350,799,117,855,121,555,912,152,873,653,894,962,390,243,073,
530,761,308,044,804,783,691,315,177,492,819,060,553,719,416,110,133,353,388,
024,582,260,023,691,927,427,947,186,020,693,389,589,163,676,485,089,956,460,
867,310,760,347,261,438,214,980,616,715,183,984,158,253,885,394,687,577,015,
581,922,117,482,106,130,633,107,203,718,569,581,533,523,804,792,388,724,121,
939,781,281,905,031,144,078,578,307,521,539,568,858,693,097,851,611,260,257,
274,506,062,387,484,483,986,753,862,093,356,115,902,870,836,733,025,251,430,
441,762,660,938,471,119,402,878,456,970,905,094,404,526,134,516,641,585,230,
001,974,490,943,554,983,379,597,646,844,917,962,571,083,673,637,718,119,851,
931,749,869,140,107,458,944,734,978,110,351,489,337,678,034,268,407,196,589,
016,452,817,695,408,317,417,795,640,001,765,064,236,761,529,582,821,290,053,
025,535,785,875,827,160,656,933,081,890,400,568,256,981,308,492,895,401,700,
151,234,565,412,128,751,815,731,451,448,092,397,061,818,037,673,906,967,692,
967,131,668,277,350,565,948,158,777,814,003,416,704,846,172,589,970,062,720,
955,693,543,727,651,273,504,436,351,778,644,802,065,301,920,462,196,621,115,
237,106,988,414,463,574,159,068,687,782,240,582,003,188,250,196,416,449,971,
652,977,141,921,609,504,072,220,935,374,628,802,808,457,556,046,322,934,112,
640,553,362,533,933,172,640,279,574,537,094,146,028,008,681,512,106,898,776,
202,012,979,654,162,149,151,287,794,875,287,004,339,832,433,913,136,325,673,
530,126,019,174,621,615,312,938,701,348,812,758,510,954,238,551,263,760,612,
886,720,037,554,222,575,679,440,605,172,262,325,681,003,191,940,219,749,060,
280,355,654,645,845,226,730,432,809,400,352,468,863,836,813,669,881,478,659,
484,600,753,216,325,837,900,700,982,956,847,032,180,620,854,720,859,698,308,
440,085,885,005,924,505,498,031,535,966,619,338,313,146,159,187,135,823,800,
444,237,773,061,018,867,458,377,265,734,713,858,418,572,929,568,049,387,727,
414,816,617,819,003,726,975,132,885,282,537,622,706,327,557,411,422,672,808,
135,570,665,254,470,527,037,090,611,191,165,965,209,435,342,877,557,165,937,
889,559,240,435,064,692,139,013,534,469,491,722,189,852,372,624,436,088,298,
276,026,226,842,079,742,730,529,131,479,109,049,190,109,054,971,059,930,043,
894,671,494,227,413,577,216,333,027,075,659,991,378,318,755,600,232,335,846,
371,339,278,545,805,440,692,306,896,654,930,074,575,257,529,046,747,601,939,
578,683,531,963,175,811,507,709,283,420,786,751,298,850,291,106,359,468,914,
982,488,060,114,532,277,325,526,268,272,305,518,835,940,576,934,793,238,483,
465,929,421,049,149,598,931,409,235,600,228,445,285,066,931,761,614,387,629,
031,642,443,633,985,748,839,972,694,761,795,949,685,365,799,713,831,108,197,
496,517,053,829,173,560,348,371,981,574,842,954,510,260,430,851,827,394,800,
869,791,094,459,999,995,661,100,424,674,974,945,296,798,327,989,783,185,581,
176,912,154,525,894,379,954,872,097,759,820,082,379,612,990,854,922,715,438,
856,565,850,655,666,071,387,119,691,446,316,294,687,292,783,644,527,032,232,
194,771,976,990,864,097,679,401,989,092,387,488,282,952,001,228,759,825,054,
016,017,509,934,827,201,108,800,640,157,998,378,489,289,563,966,378,983,233,
371,257,497,616,072,831,536,658,187,652,124,721,039,530,588,307,590,046,299,
676,221,511,667,389,623,128,518,068,136,584,826,180,890,486,851,105,284,433,
680,461,141,838,181,282,943,813,978,379,720,161,752,295,140,496,570,780,616,
411,816,002,052,866,759,546,982,237,928,903,401,872,717,182,176,062,476,643,
496,542,406,014,630,573,848,692,738,403,463,151,364,248,898,428,853,907,186,
627,856,948,144,865,534,869,014,384,852,485,758,226,908,379,703,292,988,243,
808,433,182,725,141,715,846,690,883,250,203,552,636,776,637,087,638,405,653,
766,871,244,089,752,070,156,799,049,460,703,416,248,646,748,688,222,833,829,
791,562,117,763,499,060,694,225,039,669,252,564,832,994,813,303,739,185,348,
568,012,133,351,869,563,682,160,855,146,066,859,179,977,908,085,671,427,420,
952,453,691,543,949,659,179,182,892,868,663,987,589,165,118,004,394,196,657,
247,469,850,592,433,966,028,341,528,331,473,172,995,082,071,602,298,755,971,
366,209,363,396,840,173,249,924,712,739,942,356,469,732,469,482,676,588,656,
275,264,117,135,506,484,261,380,547,241,072,345,423,119,103,339,707,288,890,
765,282,977,189,795,623,280,768,151,112,244,924,700,822,044,631,282,550,951,
815,375,808,655,852,570,438,471,753,801,922,266,243,893,356,621,928,370,300,
679,570,388,406,676,991,176,745,219,208,897,911,887,517,717,769,057,030,015,
251,029,970,370,842,328,897,715,979,717,006,726,319,423,815,389,308,867,955,
173,359,442,499,901,641,302,066,560,505,642,497,847,100,475,425,073,429,353,
898,524,897,207,525,373,313,810,695,390,294,088,191,352,507,885,034,720,169,
004,152,907,685,494,418,548,582,009,002,352,366,129,559,225,217,204,370,825,
208,934,923,149,163,140,473,979,596,556,606,066,597,612,045,671,652,471,955,
000,349,400,523,183,564,216,900,192,961,257,448,416,067,858,586,575,711,023,
414,263,110,784,952,802,034,688,008,085,544,612,352,379,429,458,933,193,383,
276,913,524,491,830,860,769,488,895,237,210,411,580,340,323,848,440,937,461,
938,943,749,133,577,261,599,062,670,794,549,242,251,424,241,952,985,840,100,
691,716,221,647,592,417,200,967,762,607,285,352,517,935,923,530,481,020,407,
338,567,629,275,579,999,924,489,745,107,679,567,430,393,878,397,437,180,026,
068,330,790,809,972,433,893,463,161,862,718,967,990,534,660,397,269,974,658,
050,014,303,170,867,579,596,789,884,272,663,388,035,566,550,289,382,416,344,
250,991,301,375,339,936,625,993,948,436,431,456,782,790,220,377,939,099,342,
122,160,383,426,899,344,942,107,328,611,032,268,995,414,048,734,013,346,951,
703,586,376,884,591,680,619,301,778,346,711,583,150,154,074,219,065,742,784,
839,639,530,816,147,147,296,678,814,873,178,910,964,064,501,536,293,361,956,
868,878,465,871,560,311,606,075,723,143,490,159,544,098,679,946,820,338,997,
645,296,101,412,946,280,915,815,668,406,293,599,586,155,478,431,298,254,307,
346,952,055,896,121,183,466,489,000,161,795,940,854,922,749,893,296,735,764,
179,940,863,701,844,203,585,608,979,632,121,531,931,993,578,070,326,989,252,
460,235,974,753,065,339,941,822,257,186,821,731,837,695,498,395,243,229,905,
897,790,743,190,314,005,832,908,194,812,621,189,868,851,426,279,640,586,880,
030,599,810,340,394,126,937,158,510,720,852,254,264,376,913,350,661,345,421,
477,757,243,032,470,340,757,975,545,511,443,705,567,688,415,438,321,758,440,
415,949,877,501,506,765,846,522,191,542,716,623,563,077,256,318,677,841,235,
343,561,830,729,630,418,224,908,621,894,775,982,926,914,710,891,764,908,118,
818,703,412,983,265,211,684,429,170,970,568,170,791,404,703,684,616,004,974,
685,929,773,909,188,717,344,482,947,766,002,157,386,370,836,116,715,322,693,
194,323,638,342,577,428,374,093,905,129,807,878,937,849,789,434,205,156,327,
969,176,702,047,448,604,368,430,511,261,145,677,364,120,617,867,844,522,210,
156,203,519,525,558,029,321,420,662,193,566,541,391,857,246,169,973,146,445,
922,740,046,890,573,750,912,580,794,278,330,080,865,962,684,698,507,210,909,
782,804,773,281,035,782,237,365,016,053,507,055,907,108,513,214,672,016,847,
856,579,535,645,531,737,280,312,550,601,477,977,568,170,022,720,837,945,632,
361,424,715,696,413,624,982,504,910,813,325,249,312,658,287,637,846,368,223,
836,295,888,392,959,114,201,765,574,190,660,975,555,815,795,567,346,239,912,
471,643,280,919,833,475,494,030,587,311,684,308,406,888,505,599,618,424,627,
153,498,690,781,755,958,319,201,628,789,424,458,773,133,707,837,380,992,294,
457,616,026,408,812,412,157,178,932,626,172,267,070,734,325,780,325,372,696,
485,832,737,391,804,113,379,223,629,219,900,406,128,799,041,705,352,214,287,
102,472,531,739,816,222,800,768,507,378,922,977,592,023,487,176,470,286,578,
129,843,846,400,919,166,439,282,879,060,233,569,164,235,511,703,114,257,981,
428,499,591,877,925,605,135,323,570,623,377,934,862,525,941,704,428,213,442,
292,285,109,280,534,658,891,601,449,129,600,497,998,845,102,991,718,699,389,
184,336,341,389,483,782,793,289,210,402,960,728,852,290,486,181,328,870,632,
169,831,184,609,526,982,915,710,374,155,822,821,344,208,222,279,815,106,963,
014,320,604,163,634,337,418,905,518,922,057,448,508,245,306,247,065,385,477,
290,634,140,540,218,563,990,459,497,389,166,005,150,087,951,861,362,675,135,
592,727,964,441,361,623,363,982,364,707,041,596,539,035,455,692,871,596,557,
044,901,143,560,909,950,988,677,973,231,676,741,831,947,583,200,359,191,332,
720,160,216,969,943,792,965,188,651,474,575,209,341,679,187,683,807,760,722,
980,671,419,938,480,878,372,496,199,547,967,296,792,139,782,121,470,731,531,
504,762,766,206,549,913,048,874,901,696,183,975,141,870,701,533,471,753,009,
993,334,438,945,795,027,024,260,578,194,193,260,306,018,288,189,116,854,112,
045,696,340,182,170,994,627,672,143,263,715,441,924,443,382,799,144,044,677,
572,119,004,330,966,261,539,142,880,025,929,643,632,724,930,355,401,885,076,
160,682,210,738,049,952,351,821,965,271,042,266,337,350,432,018,842,923,692,
051,010,262,463,416,183,299,086,684,234,058,574,907,194,106,947,746,133,861,
106,461,174,544,219,919,828,010,487,476,112,498,974,398,935,234,861,178,717,
979,733,642,802,391,015,571,048,590,672,152,865,925,618,832,237,398,794,399,
095,350,963,308,555,214,475,945,624,394,680,985,960,701,020,062,273,742,685,
535,409,824,622,405,006,869,553,134,341,911,902,345,335,450,455,417,332,401,
177,775,984,569,591,507,064,046,250,820,598,829,416,289,666,354,263,249,577,
334,275,008,460,194,984,056,880,021,069,461,944,653,165,816,101,982,158,643,
400,278,359,265,272,444,106,351,880,825,435,534,378,833,807,349,857,028,278,
795,536,538,949,641,863,664,024,809,539,964,746,471,114,179,576,825,320,989,
367,430,894,407,498,131,403,704,524,539,885,239,519,555,612,504,536,911,292,
409,387,165,975,652,107,268,004,317,140,211,121,080,750,748,744,978,618,628,
019,903,680,007,842,021,299,684,306,615,791,744,845,688,610,563,180,847,530,
510,700,834,266,572,458,512,869,966,126,898,910,695,341,794,041,718,711,247,
434,544,184,856,906,871,766,866,645,760,283,079,553,341,227,668,510,625,200,
049,871,735,056,921,774,593,604,102,904,267,662,752,043,958,237,010,756,786,
090,282,020,420,617,027,509,660,340,713,321,896,283,779,238,939,683,226,293,
879,442,415,019,537,695,561,454,417,249,950,984,208,326,873,842,910,461,477,
457,565,720,331,981,869,953,934,309,765,697,231,811,502,605,529,836,788,241,
869,182,584,729,433,256,420,691,082,888,656,926,803,754,931,501,960,633,251,
455,391,280,638,016,961,148,503,716,297,969,540,832,993,428,059,352,373,775,
490,253,482,205,851,911,246,343,626,724,310,687,641,264,078,831,012,254,049,
680,878,254,944,011,424,800,740,275,191,517,062,635,239,235,308,711,146,678,
843,069,957,657,417,896,131,375,532,231,706,913,757,738,803,801,268,386,417,
346,351,050,593,418,650,792,819,033,280,992,885,084,921,998,084,994,407,434,
289,974,707,255,283,658,874,906,066,954,438,605,509,531,013,630,913,945,755,
330,432,434,937,861,732,184,791,912,274,038,312,111,031,129,023,039,535,021,
076,477,665,193,529,803,726,421,298,251,365,096,199,712,610,661,288,771,597,
822,284,032,829,542,371,563,595,678,976,222,693,473,981,451,488,111,225,043,
913,891,478,144,506,863,374,223,724,273,541,210,976,006,651,838,863,598,356,
809,586,424,225,854,947,538,868,836,573,720,460,094,175,418,502,292,933,564,
159,102,594,955,441,127,220,832,226,234,395,873,619,678,129,766,549,195,731,
455,798,714,800,571,615,862,782,513,664,509,609,633,326,750,848,593,012,218,
933,277,523,130,228,786,233,434,029,060,488,157,600,401,865,325,533,999,869,
471,994,879,513,091,367,273,905,382,064,207,210,868,900,665,597,502,298,569,
387,232,042,050,710,814,308,769,179,663,429,196,800,791,430,677,287,662,324,
447,302,065,393,524,793,591,735,559,705,174,262,164,509,495,864,530,986,057,
780,436,968,371,875,156,962,792,901,534,805,777,851,565,434,934,775,212,903,
290,416,972,730,380,306,384,777,127,636,274,684,520,059,760,710,479,598,760,
814,730,506,346,409,172,086,859,658,017,991,229,825,595,176,165,452,483,742,
583,982,955,835,028,524,880,924,277,266,249,534,220,381,230,506,993,435,175,
554,145,077,612,988,366,510,905,643,812,354,274,465,014,008,978,420,841,333,
880,572,523,910,907,214,443,121,110,724,851,236,488,783,713,836,257,061,613,
846,307,748,744,757,767,232,548,542,135,430,443,260,961,725,237,051,627,283,
418,778,011,042,473,602,839,916,880,406,782,414,375,234,354,407,519,042,585,
733,011,709,112,026,933,481,032,387,387,909,154,720,815,583,894,927,121,747,
783,622,037,842,089,354,855,926,856,327,759,465,061,808,127,669,880,279,525,
962,542,739,472,740,778,780,220,161,100,614,792,685,236,769,776,696,597,540,
030,405,232,324,211,654,127,357,059,335,710,803,615,621,123,289,698,704,749,
962,620,146,681,573,119,986,764,792,999,861,031,351,926,873,818,849,767,601,
779,173,455,795,174,241,575,796,338,140,373,716,961,294,681,433,228,656,100,
804,850,802,121,757,677,944,735,238,418,336,943,799,002,712,320,804,364,492,
315,027,615,623,051,081,123,813,149,482,591,852,868,908,516,024,250,778,650,
781,726,922,467,947,314,391,049,193,065,258,824,268,011,552,933,539,661,577,
689,024,325,085,699,047,570,160,679,420,620,581,721,743,840,221,717,351,897,
705,445,843,562,163,846,060,853,887,031,200,117,714,915,452,760,226,754,774,
927,534,171,913,566,038,139,280,489,883,318,442,290,428,766,155,955,686,357,
570,237,352,648,992,114,581,907,981,492,067,833,485,113,386,751,309,737,200,
800,224,914,029,391,883,556,672,092,656,584,784,259,823,930,939,536,394,382,
695,937,791,250,968,891,719,718,830,260,114,900,985,059,751,419,527,461,430,
223,414,929,913,982,344,029,502,713,891,621,404,616,047,003,788,951,927,756,
004,442,102,398,587,292,428,212,555,836,169,850,263,064,356,785,896,458,362,
076,748,797,831,938,056,145,626,697,239,643,811,046,848,429,785,666,920,899,
804,060,379,387,579,362,187,958,250,811,194,945,101,248,887,080,582,161,238,
832,728,559,144,824,347,300,340,682,386,090,265,171,363,192,798,503,567,289,
927,056,359,295,702,240,957,613,202,127,861,400,173,140,513,061,123,586,068,
329,159,062,367,418,754,071,625,060,029,821,116,212,291,327,414,195,088,612,
131,811,852,875,998,652,939,071,646,722,145,561,253,810,457,771,314,518,885,
169,541,754,130,786,177,079,671,096,048,144,599,536,214,231,362,709,078,632,
747,138,892,681,415,507,119,564,493,759,254,259,586,953,880,207,314,727,766,
888,889,093,585,730,997,515,997,696,778,072,296,912,949,691,766,708,307,699,
086,639,680,569,418,726,506,360,769,885,749,175,352,844,228,515,137,968,605,
804,923,300,326,816,388,267,099,689,923,328,487,421,948,344,658,586,587,916,
627,526,554,839,955,646,425,772,499,850,893,632,809,160,223,216,323,059,143,
122,035,491,651,726,988,632,559,811,232,895,224,971,444,624,490,153,982,267,
477,388,579,640,728,152,642,750,433,681,710,081,975,235,523,380,672,864,114,
172,716,111,347,595,812,315,671,851,590,105,438,126,422,842,662,855,629,951,
968,615,163,543,206,881,342,784,902,992,480,982,899,013,560,041,532,608,452,
197,023,019,525,180,223,749,243,459,573,300,370,070,876,743,252,571,113,255,
722,836,709,013,881,992,288,464,086,072,589,328,262,069,189,941,757,292,413,
921,983,980,627,307,779,248,762,149,629,190,560,130,369,601,500,854,679,686,
905,109,547,533,172,247,628,519,510,966,127,588,509,981,635,441,531,972,853,
294,548,226,655,273,470,552,923,493,212,536,908,038,635,819,087,393,975,756,
448,830,518,689,077,555,136,288,363,352,954,796,454,827,215,028,730,041,135,
916,042,921,853,712,166,311,244,566,380,448,686,678,227,878,657,771,729,226,
266,172,434,692,487,247,838,633,497,474,172,942,416,278,897,508,617,659,256,
806,201,673,586,595,605,949,481,905,243,809,448,402,752,298,977,162,443,849,
915,529,904,624,977,962,793,077,275,333,403,986,260,329,201,236,316,756,061,
592,111,641,371,955,445,417,674,596,760,639,124,787,776,811,204,608,357,333,
966,382,807,411,731,061,738,336,220,907,311,332,154,434,610,585,996,477,340,
091,820,741,953,653,572,188,321,999,169,073,183,457,245,838,383,004,140,105,
890,187,405,540,679,757,443,355,238,813,177,123,161,642,327,187,244,387,133,
908,519,394,486,310,091,122,294,478,055,923,139,866,061,835,252,494,127,943,
517,844,180,953,878,939,392,416,051,484,501,816,929,753,012,120,345,861,416,
869,625,082,347,956,881,498,618,085,928,917,835,091,749,565,908,566,654,537,
060,964,856,174,494,340,386,468,300,155,837,146,320,892,007,548,130,322,898,
016,704,581,452,987,845,616,962,643,875,066,588,309,189,259,566,305,727,488,
940,916,620,271,855,904,454,399,538,759,358,683,716,374,213,830,739,220,365,
726,863,205,669,051,859,433,357,011,129,686,995,985,173,807,187,825,884,251,
284,707,968,948,972,807,131,101,433,273,510,154,421,071,418,486,018,192,536,
461,260,030,933,124,492,494,025,588,614,186,603,557,144,177,399,387,531,563,
878,490,625,935,626,309,432,265,782,775,045,902,159,748,189,710,022,367,188,
631,976,319,150,398,951,149,730,076,186,579,096,069,327,862,293,158,834,274,
820,428,797,139,793,778,333,185,376,340,128,650,194,658,650,729,370,560,338,
958,871,499,615,434,058,760,412,536,221,155,542,017,794,707,399,029,273,537,
315,737,256,228,673,046,444,251,824,245,131,754,602,094,627,424,552,742,352,
491,098,024,246,259,478,235,347,199,927,379,257,966,672,706,951,471,928,357,
629,972,514,610,646,394,231,264,370,599,240,988,372,908,884,019,449,148,937,
020,527,787,100,985,765,212,772,520,585,156,787,889,332,457,729,450,192,533,
327,094,369,923,658,133,187,183,949,418,810,455,574,004,722,621,031,929,749,
679,126,279,195,688,457,945,614,697,782,886,117,678,251,448,698,276,795,822,
427,676,480,208,173,274,610,787,731,229,159,816,075,479,507,459,756,057,962,
710,329,097,530,804,589,809,913,341,374,557,390,767,016,119,502,971,677,166,
963,283,456,559,122,705,586,282,673,523,216,966,722,963,305,017,640,219,712,
927,957,751,612,530,882,199,618,261,537,289,496,610,984,052,778,237,019,904,
220,229,366,915,832,069,113,437,236,056,981,006,699,402,577,858,082,656,779,
226,964,623,716,443,882,246,675,002,572,842,038,900,526,694,407,815,191,416,
273,899,005,270,182,599,090,101,600,768,733,792,818,554,986,557,861,843,480,
297,199,163,616,764,316,802,066,164,164,089,026,644,768,668,521,040,876,966,
987,134,619,070,672,805,723,919,988,794,913,378,024,474,933,834,682,574,830,
466,458,343,712,875,623,482,493,895,828,021,733,587,456,498,083,557,744,961,
865,658,028,151,766,038,577,141,854,190,558,890,029,520,063,584,853,003,068,
907,139,707,947,143,251,608,952,196,502,526,815,538,329,205,366,558,133,379,
297,769,826,499,597,043,614,360,952,172,873,927,174,034,873,733,865,463,989,
024,915,431,582,369,685,437,187,540,298,288,895,347,708,072,998,895,614,246,
059,553,423,783,466,360,541,202,804,369,486,170,808,270,452,523,111,873,943,
019,335,177,951,781,707,660,869,342,049,965,870,546,243,372,380,341,783,329,
596,063,523,149,752,157,335,629,479,147,242,027,087,023,709,276,088,431,648,
899,797,757,746,669,189,112,278,336,841,644,478,202,048,401,738,802,628,634,
124,138,946,385,009,927,260,600,218,910,043,212,231,999,562,836,854,758,118,
191,483,685,295,077,261,216,235,620,811,501,309,864,041,817,641,474,638,659,
561,255,438,015,665,008,846,620,494,356,802,982,699,468,568,755,977,692,878,
537,848,877,076,304,904,678,943,542,832,623,865,527,381,876,948,310,714,481,
057,307,269,792,863,162,306,889,867,792,090,550,102,908,337,183,348,584,466,
231,927,414,587,802,506,366,661,361,139,396,918,755,787,380,496,347,636,917,
327,644,037,618,221,056,220,817,608,361,428,243,057,442,849,817,239,692,814,
070,141,035,719,045,812,684,167,618,367,221,954,478,276,254,259,356,859,961,
117,498,973,879,424,354,522,438,197,900,886,295,775,057,156,329,351,718,395,
875,401,598,986,897,642,888,616,923,766,368,486,837,323,386,930,526,293,894,
283,520,081,956,157,896,477,418,496,165,630,796,232,718,404,992,508,523,152,
980,597,263,548,675,104,658,257,497,370,054,714,087,544,816,707,076,411,731,
557,565,098,655,364,453,934,332,377,247,090,015,595,652,030,994,248,525,999,
512,949,725,991,403,318,726,509,699,065,732,655,263,380,505,315,941,024,431,
803,035,152,745,152,852,128,230,678,990,038,545,764,416,181,060,414,406,574,
752,688,825,005,714,511,143,262,417,169,721,337,689,941,884,271,906,984,075,
246,109,880,690,314,639,736,340,148,376,852,880,804,003,619,786,510,726,891,
397,155,084,293,413,658,092,207,959,461,851,868,014,207,152,086,220,465,579,
104,431,455,674,644,893,497,847,173,710,938,064,892,187,138,516,547,659,683,
174,762,672,679,562,123,999,774,539,064,927,899,417,531,458,133,717,970,819,
080,797,562,054,790,259,651,851,992,567,784,070,935,699,661,473,460,937,202,
917,069,500,283,123,978,650,293,972,689,547,418,092,587,760,245,833,815,604,
153,689,171,205,508,283,342,042,475,522,388,354,961,329,321,922,346,678,235,
227,752,754,039,820,605,987,876,576,427,965,060,044,781,060,196,520,662,021,
790,234,943,682,036,558,516,222,896,897,436,319,814,861,362,782,752,269,825,
600,253,309,260,629,935,571,479,585,802,622,423,763,399,678,273,319,164,113,
167,128,297,160,910,585,553,009,384,420,247,470,462,793,849,374,384,821,608,
227,249,248,902,470,665,768,994,619,401,719,019,671,121,092,211,968,199,310,
890,880,329,927,135,549,380,630,325,360,641,103,911,122,296,375,093,614,146,
872,743,253,563,645,488,316,149,333,161,752,139,372,309,409,720,848,594,713,
002,254,579,491,903,973,992,053,980,658,626,841,302,670,984,327,736,785,425,
895,320,321,978,575,818,628,421,421,384,478,618,381,334,376,593,941,436,907,
651,326,082,870,388,284,001,502,524,901,238,461,475,956,255,608,481,977,617,
734,090,058,665,314,240,882,272,332,383,649,416,945,135,225,186,894,729,110,
692,887,809,985,855,858,388,194,595,413,110,480,954,515,108,775,893,517,003,
478,599,726,114,544,208,257,271,528,492,790,589,764,362,446,153,044,539,156,
713,617,054,569,902,741,147,138,271,210,408,806,855,217,162,777,510,105,253,
152,127,390,852,118,050,728,293,522,289,339,117,410,790,479,618,074,465,409,
562,531,454,667,652,262,336,202,953,089,516,241,027,879,075,217,252,444,071,
224,683,793,663,074,676,506,595,088,641,943,562,549,533,483,334,790,117,644,
448,400,418,038,038,877,201,139,983,377,612,992,070,871,193,912,583,814,395,
624,847,451,810,959,804,990,628,168,308,251,629,619,894,655,875,713,565,512,
359,883,030,731,060,867,394,362,126,534,538,863,357,398,860,029,203,401,606,
045,042,115,574,871,094,062,845,441,199,450,751,042,192,179,794,813,319,841,
672,582,876,120,155,638,322,867,124,611,526,874,036,593,198,530,456,355,274,
155,374,668,956,871,954,248,946,912,823,239,085,770,242,310,979,395,390,392,
701,491,918,979,791,487,510,380,194,835,756,407,982,170,738,311,965,261,564,
692,201,117,660,228,530,838,212,220,058,709,579,090,756,585,257,443,038,394,
677,250,753,459,410,148,653,689,800,609,796,531,324,405,540,823,602,275,709,
422,910,517,318,212,778,930,577,509,376,692,665,582,931,097,492,880,051,748,
667,178,509,804,507,301,861,036,348,515,929,642,451,139,373,709,807,839,771,
828,138,139,212,029,442,987,096,433,436,562,779,445,387,317,087,873,532,333,
120,563,803,364,304,414,468,896,494,571,790,100,103,203,907,021,293,723,777,
805,028,593,489,683,688,117,748,573,208,163,920,561,690,065,929,175,666,887,
888,436,735,970,922,059,100,411,829,293,635,555,096,660,126,700,856,496,452,
753,737,606,641,569,188,325,838,761,286,830,970,524,216,008,872,194,561,743,
243,681,683,583,984,128,448,448,624,363,094,254,827,075,149,108,764,217,603,
560,439,084,184,644,090,059,595,484,546,494,372,407,013,185,804,372,943,898,
737,876,238,413,996,687,979,522,358,125,669,205,344,940,402,452,527,146,622,
383,084,716,774,280,871,312,515,309,089,599,999,222,328,001,894,626,895,513,
727,226,433,656,947,118,129,713,438,001,524,593,705,161,880,440,388,463,341,
494,389,274,857,499,423,810,107,591,667,159,697,544,431,302,678,759,758,188,
099,638,257,342,229,487,587,164,568,963,852,247,345,063,574,801,401,090,363,
387,922,487,254,136,513,458,521,355,370,717,829,927,097,739,724,878,978,837,
515,214,636,260,380,010,818,604,789,701,088,135,236,320,453,932,538,182,038,
022,233,389,764,812,285,553,179,685,815,399,099,266,116,455,190,331,681,433,
448,416,957,656,437,666,096,599,133,613,587,552,287,785,208,144,067,883,977,
712,409,679,512,375,486,766,779,826,053,612,896,682,010,001,289,897,055,087,
017,199,000,226,236,632,171,985,375,441,047,919,108,386,815,770,186,736,326,
829,468,707,946,653,658,236,635,635,629,735,733,742,235,973,003,476,782,308,
725,389,527,947,346,522,741,374,719,475,662,324,467,880,937,020,696,322,359,
682,481,431,380,880,921,373,471,910,543,237,890,135,987,765,076,743,257,147,
421,322,470,884,349,600,813,282,967,755,499,356,580,429,983,380,828,609,079,
010,394,060,361,051,319,308,797,268,868,596,133,807,927,066,101,472,519,637,
061,035,173,487,907,516,469,794,865,557,816,395,099,313,100,089,848,661,550,
542,335,733,529,163,070,326,610,378,057,232,111,185,209,430,707,208,763,312,
899,629,159,072,859,422,662,896,574,078,572,405,520,504,734,211,897,021,233,
826,896,718,054,943,134,507,019,791,370,387,036,498,072,001,491,697,578,315,
919,357,672,204,552,802,837,681,917,224,361,854,640,688,220,112,153,179,103,
314,624,278,176,302,201,339,275,991,261,923,968,379,442,983,035,418,575,868,
525,757,561,475,328,625,436,466,461,417,784,120,030,843,715,338,759,071,965,
913,460,384,274,433,636,169,647,303,865,027,701,083,029,488,056,232,137,139,
740,777,586,887,371,412,565,778,107,822,608,127,880,462,396,758,007,338,073,
941,949,464,154,433,873,497,304,956,495,295,047,397,543,442,620,831,017,230,
311,398,885,768,907,787,514,597,100,480,692,041,790,519,468,256,775,231,877,
451,934,280,533,463,439,725,036,207,579,209,684,411,064,890,948,222,326,786,
599,055,398,306,966,390,132,943,196,462,690,278,499,191,722,647,622,526,078,
416,462,994,389,613,416,016,862,910,847,470,760,868,342,828,213,966,152,956,
592,322,324,721,092,077,917,447,099,850,657,681,277,303,184,590,729,463,718,
472,089,198,919,479,110,029,812,453,211,093,671,992,739,554,382,366,448,898,
899,951,626,944,367,908,787,726,796,313,375,904,847,328,465,612,429,196,263,
973,067,136,085,074,756,168,953,675,060,179,057,674,133,566,076,173,967,992,
802,575,506,202,591,724,791,099,854,323,631,208,659,797,401,311,314,478,019,
609,993,116,453,003,118,369,519,591,425,648,467,911,351,710,788,009,025,111,
696,113,436,823,126,799,120,167,566,068,459,942,234,811,506,441,995,125,616,
793,005,696,967,172,862,189,440,143,464,896,682,535,086,119,862,026,767,988,
023,028,942,719,212,536,434,556,496,568,725,050,878,142,872,588,512,628,683,
975,567,876,435,320,812,215,084,996,531,164,010,007,222,582,742,888,650,724,
495,368,009,659,218,820,270,692,884,694,245,311,697,685,354,235,286,433,944,
160,557,474,099,092,204,997,077,522,176,270,932,454,881,868,411,685,788,888,
974,249,286,390,005,075,549,289,964,441,279,314,577,284,039,984,394,082,410,
973,892,054,900,779,323,196,209,630,829,450,750,874,236,096,589,460,962,880,
920,322,713,166,835,853,389,586,396,832,855,549,769,796,989,945,765,149,353,
735,428,752,627,916,034,765,082,300,443,526,343,008,411,755,428,057,239,702,
935,616,611,847,138,585,527,698,316,768,649,793,901,052,186,816,476,514,178,
068,716,716,790,515,838,725,103,904,582,051,814,517,444,180,293,397,783,807,
564,866,929,682,751,423,051,295,158,599,253,104,882,882,329,998,268,413,066,
522,992,990,013,261,034,224,424,181,151,554,804,533,266,555,860,013,840,851,
434,236,563,884,454,731,836,200,357,564,015,747,812,934,103,760,629,800,242,
211,956,794,941,484,759,513,978,265,782,083,694,510,001,835,109,700,309,803,
690,475,998,294,472,293,292,629,396,664,003,787,339,763,673,231,767,006,069,
153,144,364,482,219,931,444,794,172,897,778,848,256,677,855,388,989,025,681,
861,360,867,129,193,012,694,068,972,694,485,803,003,148,767,899,748,232,561,
141,598,265,982,996,215,915,527,882,708,130,702,415,610,830,552,686,459,567,
156,746,076,982,950,403,993,388,913,343,186,778,511,223,000,792,888,995,378,
261,680,681,340,322,938,532,729,584,643,860,280,143,842,861,917,444,359,790,
503,170,759,287,599,314,509,375,312,621,182,946,175,858,750,542,860,913,196,
704,642,551,757,852,188,618,128,414,735,482,950,993,496,129,053,073,154,799,
281,518,224,162,046,375,412,253,310,516,608,985,658,680,152,767,801,701,249,
238,570,896,770,139,449,445,538,677,939,432,532,652,935,417,786,676,055,562,
166,152,283,195,423,940,485,091,258,571,280,007,317,839,896,367,493,662,393,
075,181,391,248,693,621,140,375,363,989,060,411,636,286,889,126,831,657,733,
182,127,454,507,485,541,900,522,502,882,624,268,480,282,829,288,228,489,630,
309,929,355,526,543,840,644,053,679,647,761,137,720,200,734,059,942,918,284,
141,762,542,700,035,139,765,579,206,643,055,464,714,113,279,581,249,669,057,
048,122,162,458,222,971,847,170,458,283,533,813,126,790,784,495,723,713,350,
219,335,750,227,805,178,473,694,036,289,555,088,386,992,414,176,025,365,726,
807,101,469,227,504,195,016,500,717,821,744,963,863,328,924,637,438,153,416,
828,567,642,447,912,294,542,503,837,968,341,310,024,817,050,677,623,491,570,
278,240,470,813,715,968,015,186,762,109,450,248,155,297,913,202,557,463,931,
682,240,533,869,599,038,561,494,489,621,344,488,949,956,132,302,347,947,727,
667,085,419,223,407,355,049,085,170,532,539,127,009,982,760,048,241,998,553,
418,741,643,091,258,820,166,149,424,085,441,660,517,924,042,357,446,801,375,
738,160,027,646,340,609,774,380,894,347,703,710,199,683,190,049,530,323,720,
790,458,509,014,927,914,355,609,289,846,596,818,246,876,263,168,302,711,202,
591,896,185,304,017,415,909,950,468,817,839,945,458,532,971,552,290,057,411,
893,811,665,212,372,131,724,558,620,514,686,667,071,440,272,882,665,390,229,
827,272,639,822,601,598,893,003,762,773,153,096,064,856,683,559,234,263,894,
307,579,996,874,582,813,437,405,619,966,943,834,635,602,566,201,209,514,377,
682,212,608,177,490,460,638,872,696,187,764,593,568,936,670,241,880,446,457,
731,076,608,757,571,227,118,116,081,241,281,714,768,612,383,173,239,302,539,
728,546,718,207,384,690,339,395,538,963,942,767,046,119,120,687,272,374,369,
117,341,047,073,001,582,285,497,701,344,381,171,020,220,144,932,602,910,989,
199,033,245,613,563,232,616,753,379,692,794,797,143,117,929,721,830,776,682,
491,732,324,036,780,885,057,681,669,235,496,656,832,144,471,074,828,102,425,
335,971,135,532,697,847,788,512,881,918,225,951,400,535,935,618,057,706,576,
493,033,448,168,828,455,617,802,813,673,218,381,400,194,528,072,384,739,004,
063,312,308,018,853,148,771,943,090,742,757,191,764,253,515,103,925,837,367,
917,301,448,660,258,738,621,741,470,199,042,808,052,764,755,457,465,620,166,
149,755,664,297,711,840,245,256,630,090,704,275,893,817,388,054,049,388,493,
634,304,831,466,372,294,261,062,077,415,329,388,128,073,672,621,613,426,737,
880,078,386,498,598,894,251,429,892,070,537,485,552,047,942,791,334,932,197,
185,601,703,313,685,332,549,803,469,197,783,576,341,464,004,124,459,181,034,
453,680,464,003,292,477,533,402,367,244,361,057,299,435,765,435,780,425,077,
700,896,767,594,297,289,485,708,444,236,075,151,909,809,965,732,870,222,455,
326,430,060,249,764,050,912,148,942,434,524,978,084,999,565,438,113,209,215,
953,980,894,121,232,156,921,957,300,276,181,826,568,850,047,807,872,622,501,
975,420,587,661,150,318,274,454,680,130,717,623,825,183,884,004,348,009,398,
847,669,205,312,870,700,654,025,519,174,338,621,297,429,693,912,298,484,291,
866,264,127,485,232,116,668,987,963,838,904,714,951,187,684,092,049,973,964,
401,060,412,282,351,500,554,467,436,624,002,541,965,311,321,995,739,124,170,
335,794,084,392,880,924,277,818,019,083,714,331,364,231,495,916,727,978,492,
506,836,652,350,485,591,803,524,783,785,905,212,198,621,360,419,448,602,327,
770,710,409,667,299,329,233,433,135,032,887,119,649,283,733,642,397,088,054,
745,016,569,674,256,717,884,253,220,882,589,475,544,104,480,447,899,688,155,
991,542,113,118,310,030,908,217,723,814,421,784,482,310,914,876,332,856,919,
055,261,276,500,811,260,662,806,738,984,260,323,360,525,051,927,170,037,667,
744,875,424,108,640,995,412,759,065,070,483,568,248,083,445,701,474,299,682,
236,072,176,748,910,427,090,472,871,694,786,302,220,923,699,652,753,579,141,
195,424,172,979,086,520,736,213,871,804,243,622,043,435,116,992,472,737,701,
805,251,492,257,278,996,619,488,343,942,193,295,888,864,996,884,217,840,587,
370,931,224,897,081,606,043,944,120,748,841,464,560,858,923,099,806,093,437,
720,455,697,295,719,867,106,483,522,481,568,050,095,773,919,829,802,339,436,
292,060,465,600,483,913,776,261,073,050,088,234,332,195,602,197,203,892,181,
761,520,615,036,005,827,392,357,834,429,247,019,875,176,699,550,373,817,272,
567,843,044,545,033,070,208,250,497,827,875,062,651,258,688,068,882,660,423,
532,204,529,369,841,677,623,141,857,857,886,823,892,574,449,999,889,124,797,
354,669,086,191,786,131,330,465,298,237,124,370,260,664,443,770,480,481,754,
499,884,709,559,901,411,132,841,675,913,804,570,865,974,879,895,022,839,535,
352,613,038,140,644,863,514,410,913,517,065,615,916,268,635,936,371,162,591,
868,073,221,608,652,206,978,581,834,996,232,191,733,267,987,482,720,423,240,
974,741,796,380,089,803,023,175,594,573,239,461,076,162,616,991,703,430,066,
440,391,768,603,200,666,178,843,799,539,956,325,757,934,995,318,998,322,385,
227,315,487,284,292,910,902,984,836,323,453,774,733,934,560,022,457,083,292,
008,281,038,800,521,422,926,901,666,750,183,074,287,068,355,130,904,407,905,
744,426,169,041,083,668,347,144,628,241,542,158,724,030,918,531,740,995,240,
008,466,077,680,541,269,083,559,204,615,171,353,138,579,643,603,296,383,953,
621,107,544,349,742,675,189,792,549,062,301,626,013,913,820,722,752,206,351,
383,501,911,904,183,244,318,178,864,150,013,879,606,929,585,327,880,301,181,
488,062,872,149,632,273,976,202,552,261,444,681,986,914,207,050,268,142,359,
762,618,073,840,873,421,411,119,570,087,483,225,439,633,211,699,988,018,007,
772,798,684,975,698,905,541,219,606,260,593,125,319,199,029,280,990,617,923,
740,264,302,667,785,121,434,599,978,631,706,271,624,805,394,467,054,199,109,
211,818,476,093,859,280,427,717,229,652,164,954,865,666,826,869,064,740,423,
470,594,089,576,667,913,103,602,587,651,812,182,866,063,204,343,754,945,637,
291,049,006,405,322,286,216,911,070,548,004,199,017,434,258,782,816,135,983,
273,190,589,985,282,565,571,251,432,450,132,899,429,551,199,516,524,389,196,
678,511,012,379,429,638,032,233,308,875,161,451,780,208,120,119,574,788,400,
086,382,222,512,230,202,625,252,626,163,837,094,480,135,493,321,247,791,117,
941,963,128,473,904,251,909,255,428,981,672,548,669,339,599,180,628,104,601,
286,071,617,934,610,071,798,549,327,010,665,700,997,995,797,896,958,368,784,
707,366,663,476,303,314,402,146,418,503,206,792,521,591,958,193,517,266,414,
061,022,211,206,646,000,201,950,048,782,576,345,319,304,394,281,355,887,964,
607,468,643,933,597,864,073,836,068,687,496,493,107,343,500,981,029,422,640,
594,844,830,521,709,748,069,679,683,045,338,512,774,546,197,259,739,066,863,
759,397,983,647,887,518,137,236,009,742,287,311,407,982,185,166,500,633,932,
276,418,227,268,304,270,913,813,588,356,068,191,328,705,134,264,965,733,014,
812,214,218,071,874,286,327,841,502,409,742,676,871,431,102,456,811,302,791,
094,362,066,895,787,669,633,429,996,392,699,625,828,277,936,216,125,896,957,
407,398,487,109,850,656,315,245,238,957,974,935,997,407,658,034,933,125,826,
435,431,329,830,099,283,860,305,776,550,269,182,819,043,627,875,856,522,765,
643,369,606,639,816,555,991,214,940,988,040,498,544,518,793,389,575,737,545,
415,232,851,809,704,696,547,449,399,267,851,416,797,568,575,897,571,588,048,
041,232,836,622,448,691,998,374,967,907,371,001,832,707,038,994,411,754,601,
573,115,843,449,448,190,815,072,857,317,421,378,331,860,594,391,017,922,514,
879,038,687,077,987,417,404,354,214,031,447,202,229,762,101,062,813,499,728,
517,125,553,989,243,436,429,246,222,108,170,185,745,795,586,585,725,876,630,
851,474,345,357,300,710,744,074,775,876,676,300,634,179,706,746,680,885,780,
781,511,158,957,180,326,408,234,504,901,633,666,764,776,020,669,273,938,303,
016,995,314,663,132,347,010,496,142,045,022,607,437,459,253,660,562,199,632,
388,175,409,826,070,933,367,202,358,435,682,875,821,307,536,344,148,429,519,
057,043,733,752,999,008,050,356,058,978,929,732,255,217,543,102,452,155,389,
072,084,998,154,944,069,435,325,044,059,900,300,342,042,246,313,577,786,115,
750,246,287,371,428,330,825,772,303,106,972,391,986,835,286,829,873,568,938,
681,728,473,487,930,203,666,361,464,183,362,127,517,870,026,946,902,959,267,
669,196,692,168,641,216,086,163,257,783,206,605,016,383,201,147,923,719,260,
136,537,860,327,737,967,268,041,877,718,798,386,378,666,570,351,310,046,520,
303,473,299,242,462,220,087,588,555,607,823,034,531,938,487,452,328,057,468,
835,286,458,027,277,555,108,829,049,167,017,106,664,827,326,728,689,966,267,
499,282,616,890,820,530,985,266,899,618,388,479,623,147,973,185,392,087,373,
706,988,151,275,788,095,199,701,601,205,385,866,022,583,499,942,072,687,136,
807,908,438,046,721,141,896,080,329,730,901,302,445,352,622,000,524,369,921,
919,743,745,062,114,200,235,450,642,654,157,811,606,065,507,260,247,404,829,
154,286,081,731,296,865,387,862,361,788,155,174,911,612,066,614,028,928,491,
451,447,473,221,332,433,284,581,956,823,656,182,177,729,339,574,824,342,614,
303,220,922,231,531,702,717,123,042,620,971,931,030,515,910,338,492,840,528,
025,679,088,453,820,792,689,046,452,625,071,369,561,079,783,795,717,040,975,
986,285,569,527,733,341,144,703,796,320,121,552,424,232,750,169,878,009,440,
420,529,098,328,846,465,074,884,294,069,494,536,285,062,878,423,601,093,231,
074,895,383,883,600,723,831,746,435,296,540,160,960,792,811,152,767,409,713,
651,335,203,307,864,109,307,515,863,752,266,581,786,875,142,851,845,108,317,
249,752,616,125,441,455,933,732,364,667,092,646,394,087,214,370,487,670,833,
128,411,092,303,937,334,365,165,584,595,114,100,182,583,892,750,648,516,662,
941,167,323,016,124,113,556,893,333,560,154,958,870,192,353,696,233,872,073,
690,789,565,323,196,677,494,230,667,960,860,491,843,466,645,133,751,390,107,
842,144,001,782,435,913,174,522,013,130,316,278,675,592,722,404,797,072,038,
915,995,782,950,300,792,295,791,225,267,581,922,057,350,649,574,230,343,885,
194,621,527,835,139,141,677,466,338,762,409,990,564,777,433,594,943,533,464,
422,565,464,127,717,096,651,336,530,096,205,989,664,644,187,564,068,198,743,
935,663,582,565,269,976,581,977,688,939,228,340,758,906,588,299,119,433,525,
948,228,952,807,599,003,401,650,153,501,588,649,023,243,912,095,922,345,913,
253,722,956,117,037,793,968,036,098,943,139,978,962,412,769,880,255,535,132,
711,867,790,723,357,393,152,794,204,858,655,227,274,078,659,743,013,973,215,
405,339,027,358,758,633,664,897,421,211,228,430,389,106,679,954,418,893,867,
738,994,692,320,282,587,543,379,266,011,210,313,862,849,236,149,857,961,851,
687,846,812,307,982,076,538,342,887,908,845,785,819,912,548,548,711,223,454,
994,679,936,646,311,405,003,230,338,222,303,564,976,530,559,927,674,777,299,
250,526,920,647,712,514,581,988,189,118,441,722,726,845,340,646,720,962,167,
308,110,038,075,419,176,831,930,932,336,482,848,075,453,559,816,573,595,833,
264,822,503,812,838,939,234,096,458,226,744,998,231,728,746,709,268,476,286,
131,499,536,831,354,782,680,057,299,711,401,814,030,643,855,469,941,537,409,
428,273,743,651,410,973,245,158,445,616,968,096,681,219,320,918,913,572,633,
084,023,005,125,159,599,234,568,148,530,570,082,311,321,459,682,374,782,670,
163,362,656,852,639,805,692,856,110,449,690,739,244,526,941,269,386,337,369,
278,094,887,956,597,748,328,852,420,353,491,473,516,809,113,115,209,811,626,
118,747,043,193,238,285,284,331,183,587,577,200,821,335,804,258,653,947,073,
482,347,431,357,508,376,509,515,114,744,120,189,921,081,710,256,906,970,559,
791,921,970,054,759,326,815,901,756,415,072,797,620,422,079,731,490,596,745,
207,551,176,749,825,373,452,901,661,893,705,904,835,633,238,247,968,549,584,
916,462,252,095,042,767,186,756,454,651,311,845,720,902,362,042,682,278,753,
832,890,541,823,452,355,408,665,164,024,149,890,164,999,027,761,842,386,758,
765,824,375,422,993,107,648,748,185,169,125,715,388,599,854,461,625,354,347,
912,483,007,076,548,784,153,891,946,993,328,276,847,077,373,146,258,230,881,
359,768,112,652,994,577,598,417,088,272,198,560,353,159,211,761,967,639,157,
774,702,412,104,723,953,476,278,795,348,131,901,450,197,685,274,294,394,944,
417,542,030,682,644,882,873,807,795,450,288,602,483,675,013,023,403,062,133,
832,684,998,355,326,595,048,320,032,040,926,598,439,999,408,825,384,337,061,
809,770,866,311,355,635,505,038,333,452,974,618,237,162,158,348,377,180,036,
318,342,691,755,644,932,741,196,044,461,565,177,023,108,859,897,971,414,209,
864,003,037,099,342,189,876,154,847,599,687,198,394,270,736,737,742,261,108,
068,315,739,914,729,557,822,660,414,104,802,925,735,167,854,407,850,962,886,
303,343,944,873,355,772,355,114,018,956,562,411,366,914,835,217,139,451,225,
670,216,637,504,628,639,301,476,448,733,216,070,479,894,826,942,850,748,477,
696,489,674,065,140,251,938,959,329,099,508,034,395,417,521,722,615,545,819,
683,809,905,232,141,658,102,183,314,841,028,929,123,238,934,210,198,039,433,
182,489,788,706,123,743,684,575,346,483,660,093,077,812,786,239,271,177,003,
446,622,336,102,168,570,403,385,600,119,885,631,002,800,908,430,095,882,157,
174,500,204,201,348,815,575,715,487,082,601,891,235,230,229,308,538,327,347,
721,195,129,601,833,626,322,694,918,095,462,241,167,370,673,891,371,637,520,
424,558,853,691,022,925,685,438,444,663,369,742,726,759,644,932,285,931,248,
538,513,414,594,575,845,630,027,652,898,618,908,924,666,147,013,506,893,485,
059,612,075,515,436,213,411,739,408,978,139,091,268,946,639,530,204,915,209,
302,535,993,959,772,932,098,325,734,819,568,575,282,030,562,370,912,601,527,
881,938,290,017,498,558,423,277,216,870,487,247,736,539,952,824,274,304,924,
498,876,559,242,853,897,984,654,375,498,731,874,106,504,694,901,756,365,135,
753,455,921,422,763,076,826,431,667,237,870,521,223,070,824,303,935,839,124,
234,477,497,652,929,203,216,807,431,541,302,228,211,155,533,430,854,038,542,
132,828,215,156,431,481,403,432,035,216,235,430,932,836,790,866,131,626,608,
018,952,633,173,136,410,130,872,391,784,510,319,707,732,735,915,941,202,747,
340,060,158,831,275,210,338,463,134,754,935,685,772,615,640,670,294,699,632,
719,843,834,869,324,243,739,524,421,013,919,768,053,793,473,340,007,361,737,
512,313,646,919,755,091,627,217,919,427,859,502,776,827,309,363,966,637,959,
197,999,736,603,043,454,209,156,141,046,499,790,536,562,222,959,575,914,436,
925,505,136,739,903,643,487,269,415,482,145,168,687,716,117,046,355,706,435,
358,102,447,354,819,758,903,221,993,683,273,535,085,978,228,573,054,249,366,
351,693,967,201,353,332,201,497,625,844,433,761,696,193,813,694,819,126,931,
465,984,336,985,799,271,358,119,780,817,124,993,056,947,714,142,640,756,694,
484,730,317,601,826,156,131,223,128,543,912,195,321,977,436,239,080,969,375,
889,860,790,385,279,953,780,529,907,042,411,647,315,466,451,770,909,147,012,
557,152,079,808,108,103,524,722,897,035,869,749,660,906,418,913,081,424,044,
507,137,183,306,126,713,489,363,267,983,451,611,804,340,785,135,101,376,011,
831,597,725,928,571,038,962,313,543,663,868,182,802,421,053,033,723,791,927,
940,207,338,406,476,286,327,747,079,757,594,378,482,280,600,652,118,717,587,
401,813,219,810,700,007,553,674,570,024,525,495,020,352,709,850,304,691,720,
889,432,759,803,215,236,562,838,794,032,516,168,037,522,615,596,926,580,481,
849,046,236,783,419,166,859,359,495,912,943,416,274,061,379,188,564,697,357,
687,119,180,444,778,468,836,786,711,465,616,283,822,949,761,981,877,236,349,
736,971,733,630,774,060,292,556,461,646,810,436,448,434,374,166,578,711,243,
448,871,966,129,668,606,928,056,681,639,454,024,168,093,552,590,274,967,597,
269,177,021,337,482,814,522,985,620,738,129,216,847,306,126,675,724,898,364,
349,763,821,154,398,896,927,360,120,929,696,724,009,001,721,295,637,116,914,
551,813,935,662,174,251,378,288,310,000,864,078,433,201,679,121,578,886,765,
918,076,256,281,316,924,328,938,715,543,128,983,576,422,092,636,350,342,906,
498,318,396,165,522,698,933,989,448,790,730,076,074,474,266,048,867,838,215,
168,249,492,405,870,307,461,260,221,652,222,175,890,116,058,207,567,091,710,
258,862,177,186,711,614,825,017,014,942,480,790,684,085,313,219,406,726,532,
558,477,568,747,182,310,622,542,038,570,588,665,777,007,100,505,683,609,708,
193,149,821,951,664,286,178,014,132,118,828,484,493,302,041,659,583,191,972,
827,937,706,368,408,480,334,646,147,049,586,232,585,762,411,558,720,397,648,
922,674,623,894,855,879,780,189,823,852,766,759,897,598,210,197,571,409,613,
141,694,258,222,723,840,447,733,326,516,355,034,018,789,824,415,232,305,338,
665,267,307,081,260,636,095,988,097,366,106,777,208,188,791,648,010,673,854,
025,526,764,068,161,612,680,724,663,648,519,190,765,553,325,625,023,390,764,
475,590,368,705,779,416,018,374,471,381,805,118,723,754,936,058,600,166,422,
889,048,650,331,002,245,802,647,325,821,481,618,389,482,163,649,885,861,641,
059,676,552,951,694,274,452,148,854,652,077,774,487,763,326,061,140,456,632,
444,148,446,093,739,613,323,137,090,018,299,868,753,801,043,950,981,091,428,
313,914,597,893,014,797,703,995,387,881,938,355,511,836,588,188,492,857,614,
474,381,336,149,720,351,612,762,978,009,342,724,054,144,474,062,186,611,554,
916,788,324,425,298,327,797,850,474,282,299,582,491,005,616,955,196,538,373,
086,487,955,542,648,791,380,444,420,011,939,316,669,059,598,466,547,994,608,
785,342,805,311,958,315,640,569,249,543,508,569,468,451,548,840,009,230,473,
806,495,774,273,126,949,617,999,428,736,607,815,308,770,925,873,203,269,387,
496,854,871,604,120,902,221,646,955,226,939,006,278,319,042,388,038,516,290,
632,995,842,987,743,311,800,309,627,551,238,992,885,325,458,646,942,924,086,
784,514,980,712,886,832,481,363,853,589,665,617,890,226,081,974,117,206,168,
504,610,955,226,854,186,791,292,547,948,600,720,879,707,774,104,226,494,323,
158,434,156,629,514,818,883,793,005,062,671,912,938,440,639,161,105,602,894,
925,093,235,388,396,940,370,840,323,206,898,426,294,941,192,901,935,757,800,
081,627,750,484,785,486,922,983,664,978,571,932,280,289,103,246,931,340,572,
947,010,828,009,720,697,225,138,207,425,161,893,815,057,888,351,898,256,047,
289,726,870,042,696,182,739,817,079,720,640,607,051,358,659,105,841,764,713,
519,196,567,333,851,383,617,911,345,630,821,045,711,327,402,825,847,804,224,
477,058,623,158,761,908,601,030,513,068,347,145,049,754,013,284,723,195,540,
649,292,338,431,093,035,013,763,610,802,190,582,062,153,290,813,014,335,065,
303,633,805,272,637,358,985,068,290,776,353,466,060,932,576,056,078,736,415,
995,284,769,096,882,941,212,418,151,559,493,291,791,854,119,448,435,735,332,
936,406,206,599,886,190,431,355,132,665,140,492,742,859,329,807,623,668,952,
372,815,248,505,865,583,563,182,187,163,568,404,985,991,166,193,866,313,220,
358,671,813,422,113,038,901,087,480,716,687,862,858,285,472,300,865,837,966,
826,298,162,080,516,821,380,813,754,992,080,961,982,033,153,532,467,038,098,
880,711,537,991,499,554,871,310,760,082,880,567,001,878,308,164,917,939,599,
538,985,460,990,284,968,232,346,989,755,606,796,008,116,386,551,979,760,814,
238,326,768,904,316,706,169,816,797,533,159,262,020,392,264,419,504,271,114,
154,298,910,199,165,983,023,813,503,029,936,635,563,164,411,332,554,504,281,
306,084,976,471,682,008,804,755,337,554,492,098,240,083,308,818,604,985,372,
649,680,430,971,237,870,279,557,609,269,028,886,782,035,105,320,347,377,633,
443,249,753,968,788,844,736,050,987,334,939,466,787,242,936,615,027,786,983,
442,294,014,923,739,045,994,284,041,827,648,945,132,004,651,877,707,217,078,
469,522,541,549,754,408,111,631,139,614,935,537,021,128,421,807,923,015,447,
317,020,566,408,293,314,320,235,915,376,716,034,697,087,782,870,670,401,777,
323,223,082,388,770,870,270,274,480,875,743,422,636,437,637,011,531,110,670,
551,863,398,284,108,736,589,693,275,040,189,945,417,619,119,061,301,194,364,
798,364,954,231,795,917,697,221,050,779,952,318,308,869,565,580,841,160,628,
049,102,353,728,777,386,233,553,767,140,426,284,757,555,228,507,727,391,355,
067,954,984,650,248,385,561,061,634,881,726,115,515,315,058,861,409,409,651,
708,483,309,381,410,492,845,102,020,523,574,995,854,076,973,230,505,638,327,
293,970,476,647,438,612,972,047,991,851,114,248,477,195,123,493,477,198,616,
023,339,551,119,871,413,490,397,274,677,333,381,699,425,327,067,729,880,575,
104,116,709,953,043,842,150,029,002,925,421,474,923,699,522,541,793,286,009,
871,454,280,387,645,641,240,736,560,232,397,408,293,414,392,272,218,551,051,
392,132,101,044,011,176,411,986,047,994,138,347,268,117,168,968,629,750,037,
347,045,047,217,360,366,340,555,717,795,371,774,108,365,222,924,385,746,659,
191,900,053,955,488,260,213,331,740,089,762,797,293,022,031,535,974,319,617,
439,907,104,049,212,482,737,514,606,418,106,792,348,003,884,958,193,366,370,
294,915,655,873,987,929,164,298,627,470,929,094,569,211,427,090,767,498,432,
561,967,660,677,763,661,289,313,820,498,110,347,751,489,841,865,998,753,369,
344,976,492,634,034,733,976,617,981,086,315,915,618,788,594,361,235,201,179,
171,977,990,897,864,743,061,527,128,891,975,832,090,516,079,693,824,826,452,
634,100,321,659,957,062,776,352,377,419,631,063,600,819,584,833,262,941,046,
028,394,339,985,436,953,466,978,909,361,888,962,282,638,070,803,686,434,989,
797,760,627,252,290,130,212,203,759,578,451,571,953,137,836,688,870,181,621,
787,801,578,374,806,946,712,549,666,849,947,430,830,751,674,471,076,205,812,
844,787,262,338,491,483,719,772,811,601,023,679,614,136,720,161,621,327,260,
601,952,784,979,503,049,787,299,724,443,727,560,663,575,493,607,178,973,895,
252,792,979,825,506,373,586,448,580,635,632,124,703,796,280,130,048,534,775,
478,980,548,692,309,039,413,203,973,215,206,327,108,007,289,318,999,108,528,
137,466,864,039,963,454,308,023,018,041,020,811,652,267,064,388,454,061,588,
608,330,096,922,202,347,166,617,103,728,084,629,300,986,637,090,900,390,075,
799,191,776,158,864,940,319,419,236,891,424,563,035,689,311,751,692,330,327,
642,923,917,923,222,408,207,993,912,903,075,965,499,287,161,103,279,397,893,
553,729,458,058,397,253,155,318,191,796,792,565,949,150,792,222,544,259,647,
047,355,692,524,029,897,584,791,211,475,919,729,793,821,674,320,033,401,179,
035,342,153,862,688,487,726,384,404,380,821,038,912,968,507,586,354,334,186,
342,254,025,022,930,482,876,704,118,667,046,293,870,031,613,399,413,451,303,
906,185,810,586,903,527,984,145,057,744,144,826,435,219,709,599,290,226,583,
088,483,691,412,260,319,892,454,070,243,317,560,939,215,363,072,866,865,726,
336,932,415,051,798,101,598,169,658,533,629,389,809,377,068,246,832,285,232,
078,693,963,045,204,059,416,854,512,311,707,181,960,761,544,305,529,246,989,
429,697,334,039,678,675,542,631,972,008,109,364,980,290,495,443,719,603,907,
731,263,287,093,883,464,571,633,307,804,867,243,021,360,598,339,151,791,707,
205,590,638,793,384,311,148,147,684,750,881,617,318,582,463,310,292,222,350,
322,756,388,665,007,453,162,415,664,155,220,594,078,779,126,154,773,378,654,
085,261,021,692,519,726,643,161,151,849,185,288,883,180,532,109,103,859,752,
800,154,270,366,269,791,702,605,675,913,093,759,896,717,832,465,456,361,138,
957,764,902,636,240,259,361,444,962,357,138,030,899,678,659,328,342,881,651,
527,554,324,826,720,343,416,438,511,848,589,651,554,137,045,172,163,305,547,
180,365,355,981,914,566,806,375,196,729,075,055,392,918,699,923,704,814,795,
919,625,331,702,560,682,116,553,477,753,921,377,909,132,093,171,127,372,631,
127,903,451,830,113,611,693,611,244,210,010,052,067,473,773,128,303,562,790,
906,758,385,505,843,067,444,501,923,926,346,877,882,131,302,667,898,818,417,
492,966,035,423,842,660,777,269,256,990,307,488,311,064,993,938,127,134,025,
527,936,040,565,244,714,127,853,881,182,374,261,171,181,822,722,910,096,212,
073,516,695,582,621,576,240,526,581,797,482,773,212,212,212,649,811,287,077,
080,610,845,464,322,977,370,674,721,775,520,566,235,319,187,702,166,943,018,
905,222,917,932,743,335,164,168,131,983,263,907,141,438,250,996,919,409,439,
592,327,221,519,865,169,558,258,148,754,339,760,688,274,686,019,403,407,054,
003,140,298,849,213,557,165,737,228,329,827,169,197,426,181,546,317,924,488,
103,392,824,076,464,736,760,186,576,575,103,913,111,619,185,737,798,674,042,
959,925,119,740,320,850,862,321,113,344,788,110,517,415,149,314,880,256,623,
664,117,464,263,096,342,846,164,547,160,237,359,422,582,006,148,087,384,590,
379,796,686,456,209,578,529,674,564,432,754,393,039,151,377,825,798,209,176,
614,165,943,619,025,251,251,747,784,711,557,305,835,740,588,004,339,152,642,
670,315,707,606,256,356,461,269,938,627,027,755,487,454,991,252,384,342,100,
965,588,551,637,297,106,645,611,970,752,181,439,222,627,279,775,658,611,767,
493,816,727,691,512,451,133,973,792,015,118,032,244,127,566,933,711,763,426,
867,169,444,818,022,560,737,916,146,457,046,037,799,679,799,214,960,754,917,
390,152,581,304,031,822,073,958,404,460,947,777,177,520,725,079,726,818,180,
949,914,465,478,264,895,836,637,797,655,625,237,925,453,134,311,705,298,437,
720,509,890,361,552,731,155,129,377,087,223,871,091,360,671,235,033,998,043,
202,835,927,789,804,158,467,719,282,670,204,555,779,970,474,395,907,960,617,
157,753,831,794,047,144,486,689,403,834,882,513,798,967,598,985,926,737,043,
359,531,980,078,554,779,961,705,371,396,997,957,055,327,108,319,020,717,252,
486,989,929,250,475,924,506,246,829,095,525,609,566,509,787,263,559,273,884,
758,883,381,435,497,421,620,118,515,390,263,974,446,395,600,049,338,079,217,
634,206,732,825,015,529,989,552,937,432,514,108,067,511,500,242,787,396,677,
931,873,242,348,076,358,256,100,734,318,482,291,477,324,848,248,081,469,065,
130,791,024,492,677,285,159,650,076,741,338,814,264,978,946,384,168,064,788,
234,603,893,918,523,143,917,611,412,042,478,668,073,094,525,692,653,878,683,
659,690,894,889,203,357,180,324,689,317,047,934,355,112,768,501,852,591,880,
738,803,351,816,994,677,436,594,960,137,908,892,661,689,069,499,694,933,220,
494,996,048,842,450,416,127,350,780,110,157,221,456,231,409,732,153,550,979,
614,138,957,815,248,552,011,612,650,247,558,002,358,775,630,224,662,046,772,
736,711,312,179,502,682,399,175,993,393,900,774,341,905,352,614,658,066,690,
367,689,544,715,226,440,746,241,049,439,290,234,879,126,923,314,061,194,373,
232,253,482,136,340,778,362,073,502,217,729,651,614,239,787,575,674,187,957,
950,254,618,657,989,197,026,458,338,072,636,280,695,190,845,414,902,193,191,
778,751,293,190,179,648,114,472,353,081,120,592,262,760,144,190,524,988,088,
144,928,757,475,524,878,441,780,209,295,466,055,480,886,270,777,976,499,490,
112,960,979,826,170,882,459,064,681,712,549,994,041,619,515,415,384,957,560,
697,931,400,402,629,031,250,486,428,943,818,808,971,368,663,038,311,448,656,
874,402,760,520,992,902,811,558,133,053,651,474,677,590,829,299,956,943,525,
270,294,213,810,140,165,855,496,246,416,094,689,408,074,668,298,499,362,303,
235,829,409,344,949,346,691,201,375,973,718,683,962,588,871,810,384,666,771,
663,747,154,278,330,465,317,227,723,806,482,035,483,861,982,210,618,441,198,
741,103,699,772,281,420,593,105,613,810,761,575,684,829,337,241,884,442,148,
421,254,919,317,998,929,686,881,063,714,526,191,508,491,514,251,912,416,169,
695,972,369,785,799,087,090,376,666,781,091,445,502,632,458,222,262,231,061,
293,232,270,272,632,986,722,889,237,668,432,891,838,408,752,606,060,817,902,
495,947,855,786,397,459,536,507,147,529,466,197,491,077,629,190,943,065,546,
032,708,144,805,489,016,114,486,165,950,856,132,137,021,643,441,050,692,947,
888,928,542,911,438,704,473,654,562,402,099,942,900,667,175,326,347,162,710,
210,948,890,941,553,391,969,099,880,936,879,716,348,822,150,499,877,360,454,
280,691,658,049,337,693,247,184,867,291,550,012,224,206,902,185,492,760,875,
420,378,619,843,549,455,848,453,401,882,912,938,233,347,644,705,286,620,919,
800,028,854,542,073,106,926,116,485,793,655,299,407,659,296,445,554,735,644,
878,978,541,937,147,744,538,263,031,881,437,198,436,430,973,782,655,121,285,
199,796,160,749,003,550,822,644,412,833,677,682,193,081,090,740,575,543,060,
364,320,983,498,226,057,372,811,085,156,389,819,925,959,890,415,127,915,551,
118,118,386,258,949,138,950,193,478,678,074,282,474,778,397,692,247,175,778,
891,320,857,160,962,890,122,131,158,240,052,772,185,662,370,123,423,380,611,
527,380,744,039,486,661,707,913,744,953,134,867,731,093,388,132,421,836,687,
759,726,459,992,568,170,275,908,458,435,372,730,225,224,889,566,583,775,052,
769,492,014,320,431,931,676,295,464,450,928,117,430,232,717,263,073,060,167,
220,073,524,057,195,322,826,464,996,640,647,821,012,448,727,174,272,434,070,
678,144,686,612,249,821,325,593,054,897,579,941,975,187,803,563,421,187,795,
094,478,268,308,142,028,982,952,578,501,702,459,665,813,255,464,734,791,879,
886,753,043,764,640,940,995,001,589,281,139,792,764,275,682,680,192,485,105,
797,156,296,195,992,751,549,195,585,080,205,812,130,447,219,517,927,951,353,
139,463,250,579,271,877,891,519,428,011,009,560,345,512,702,260,826,156,112,
789,277,297,983,206,929,718,995,359,617,102,171,466,825,572,775,364,092,160,
605,576,597,280,883,998,043,921,392,325,852,640,814,424,662,868,214,472,557,
021,812,543,368,975,076,471,242,501,796,840,934,886,958,907,157,559,363,060,
573,349,750,392,692,478,984,319,109,882,439,002,555,811,217,764,541,646,748,
039,071,420,834,599,070,204,893,338,017,940,860,347,649,233,013,744,997,995,
482,290,899,066,925,150,572,299,510,067,213,619,218,188,753,871,524,212,659,
743,310,341,897,706,995,095,725,061,653,474,867,378,844,001,665,791,040,703,
941,627,285,386,398,686,888,977,737,470,844,269,968,124,523,197,787,270,311,
762,745,452,839,612,432,611,250,907,122,484,142,096,637,836,266,613,192,719,
150,875,258,557,888,389,672,351,984,467,456,177,912,045,400,133,772,432,610,
557,362,160,026,240,972,232,784,809,345,642,350,814,055,372,655,200,493,474,
379,015,859,778,623,720,332,296,475,356,150,028,034,548,015,557,884,835,170,
889,692,625,271,292,944,441,680,393,152,322,324,882,780,031,447,700,521,096,
074,054,053,638,547,717,298,436,973,950,801,803,714,496,816,825,133,204,723,
175,977,914,247,282,001,488,440,839,286,885,539,975,147,245,211,773,338,274,
547,711,687,031,518,875,036,345,612,151,582,287,460,793,026,040,460,653,070,
038,262,113,383,381,086,250,998,743,191,968,052,217,908,441,765,639,363,571,
937,055,601,012,669,728,711,092,494,486,271,374,509,200,391,111,372,278,916,
229,915,352,359,995,775,646,634,775,473,113,678,714,431,158,028,506,752,693,
154,894,605,682,703,604,523,895,734,679,997,357,803,084,704,148,650,709,945,
534,397,136,451,227,337,570,752,478,926,309,625,392,866,058,101,369,458,661,
709,423,902,767,512,436,840,448,741,929,404,644,864,217,880,691,327,302,907,
975,848,619,942,914,209,688,488,929,810,638,799,635,781,519,796,468,791,182,
546,472,973,602,429,692,508,464,258,369,703,163,909,125,538,072,794,588,493,
576,114,680,509,666,568,767,387,937,065,441,478,390,553,130,272,561,731,517,
344,760,062,273,187,498,561,349,328,704,397,532,007,101,417,527,882,315,227,
547,577,255,429,893,938,969,085,741,188,021,974,436,891,969,505,388,068,218,
319,417,239,441,172,086,005,789,127,237,970,296,435,382,199,766,214,224,355,
948,662,946,810,860,710,904,290,162,364,661,684,511,700,117,212,605,472,785,
831,845,536,913,177,092,205,132,685,087,788,796,328,995,185,501,070,081,344,
942,699,826,929,585,807,506,254,160,490,534,507,510,767,168,483,138,231,441,
888,727,745,134,159,287,965,291,958,297,044,963,886,767,404,638,599,573,600,
495,349,559,198,408,124,025,409,852,196,579,537,377,606,917,071,911,308,313,
237,327,607,626,078,057,352,192,265,679,179,409,743,959,338,416,640,631,380,
764,889,586,200,957,847,016,539,318,981,544,189,871,739,677,036,116,257,431,
411,731,678,480,870,435,923,960,056,833,199,319,214,313,732,134,093,513,915,
042,002,337,475,143,786,084,722,360,206,434,462,745,365,524,987,720,342,745,
340,913,649,616,798,970,369,393,462,379,997,951,780,495,041,120,867,839,249,
419,250,302,112,219,693,411,496,460,795,546,125,815,281,842,366,169,492,947,
017,474,570,057,109,462,398,604,720,101,407,370,520,733,728,378,334,184,637,
408,450,698,306,887,713,173,381,860,891,562,685,055,505,053,613,214,038,370,
088,353,437,244,711,659,123,534,584,006,371,377,365,492,403,580,879,407,836,
847,253,692,733,141,434,529,599,241,322,552,274,623,014,137,617,860,214,457,
768,567,556,285,527,650,536,296,180,491,639,090,444,009,575,600,115,917,635,
895,972,479,384,734,553,698,424,447,189,548,955,285,428,616,943,029,877,920,
895,421,051,495,055,077,547,802,000,163,544,408,513,990,256,748,222,120,708,
658,048,748,524,546,734,763,946,463,485,533,845,721,230,084,839,371,171,871,
051,724,634,417,784,387,019,828,027,643,704,798,339,408,016,887,495,941,723,
208,954,999,896,527,357,991,959,177,388,777,978,979,431,217,833,926,154,062,
106,468,505,317,389,889,861,429,504,359,479,410,921,272,422,305,144,865,612,
110,201,955,440,397,696,356,073,387,667,172,029,730,655,169,997,343,239,287,
361,796,296,189,979,223,861,822,191,515,290,785,566,361,435,769,621,667,420,
573,173,043,215,229,263,661,429,746,096,835,359,195,133,185,634,177,416,586,
392,808,302,250,475,198,394,043,203,590,774,943,693,719,703,174,452,051,579,
750,312,155,746,152,837,727,969,510,253,870,091,998,897,203,213,497,582,479,
407,573,685,209,854,705,413,025,692,841,097,726,247,120,428,953,893,117,406,
354,084,562,805,284,804,446,909,450,075,968,736,134,668,767,500,647,304,335,
013,492,387,726,017,802,700,148,010,242,586,741,664,854,794,690,593,235,146,
562,972,189,090,640,175,832,529,638,378,283,341,379,069,327,878,036,409,814,
628,012,810,734,868,871,090,216,572,287,158,516,308,303,667,222,361,821,107,
892,623,530,130,894,647,074,478,460,174,907,536,443,977,640,998,099,741,509,
627,292,865,538,806,373,269,640,080,375,071,253,567,528,224,061,851,168,009,
112,779,882,498,588,022,380,043,875,127,857,430,036,499,727,261,313,566,924,
209,620,446,072,579,455,814,755,118,349,937,457,930,074,978,831,958,724,125,
854,935,062,765,304,537,211,964,937,954,699,088,502,128,484,634,038,966,286,
818,231,747,901,295,863,024,891,386,785,654,093,004,997,192,667,751,303,949,
558,088,905,841,705,695,015,022,598,667,115,212,975,791,233,399,025,855,412,
447,256,157,059,285,567,309,583,463,525,194,103,374,646,461,059,651,613,744,
616,255,914,214,635,301,408,467,358,459,895,281,433,107,021,160,269,271,689,
156,899,333,825,025,544,266,528,540,316,972,675,987,878,633,116,773,847,097,
681,737,010,429,806,518,617,741,386,848,748,986,421,413,617,780,155,593,010,
037,590,798,638,377,373,548,880,645,242,165,798,328,192,028,913,290,530,988,
486,169,832,563,898,100,584,412,806,306,350,956,101,038,863,640,655,978,331,
865,044,002,750,093,795,773,398,160,859,045,362,650,050,536,065,105,296,418,
400,381,444,514,070,254,020,629,998,311,379,357,566,592,475,007,566,343,055,
593,212,142,475,075,870,634,047,004,746,247,673,541,094,448,584,354,527,085,
384,739,555,349,613,801,355,063,095,920,874,125,228,543,573,503,061,565,918,
100,288,912,656,755,368,393,113,848,583,953,016,053,346,209,367,834,774,216,
276,284,838,222,162,311,112,856,438,364,062,756,166,587,332,655,904,609,930,
470,659,613,728,607,441,897,980,339,368,119,799,999,383,508,142,474,577,718,
101,227,860,604,758,572,607,722,817,050,686,347,291,327,824,675,133,172,177,
465,514,004,386,324,127,708,708,419,723,264,342,701,099,429,515,316,312,467,
749,156,585,845,649,861,519,736,635,497,381,215,138,221,904,684,266,547,569,
016,692,231,929,123,248,615,146,348,644,254,775,811,441,130,560,120,827,235,
699,205,152,486,190,493,626,937,783,946,305,492,080,970,628,621,753,928,293,
199,053,157,576,667,671,130,121,396,393,798,744,158,418,569,563,637,192,942,
518,232,226,648,335,998,076,842,597,785,028,261,707,968,473,658,753,756,123,
486,432,039,016,475,866,576,755,302,451,778,769,793,010,986,639,792,899,597,
983,164,797,953,340,989,211,291,438,209,275,550,432,105,113,870,123,917,598,
710,460,147,144,586,811,259,199,438,386,049,514,178,282,970,963,755,330,125,
668,855,831,763,469,251,122,959,513,293,300,834,774,407,887,569,324,455,369,
879,153,141,686,093,833,484,758,989,017,931,608,932,442,123,180,636,156,732,
430,549,141,090,380,425,082,885,415,987,679,299,012,096,069,138,513,224,073,
833,144,209,421,279,505,049,106,860,749,588,652,778,282,344,016,929,333,201,
050,320,756,531,868,780,568,396,979,524,326,079,252,852,783,051,870,639,848,
376,829,304,456,770,102,932,910,374,450,868,050,869,093,899,369,543,771,673,
211,845,736,712,138,254,908,220,546,113,730,811,673,636,112,787,632,203,122,
172,885,008,710,946,409,456,743,742,643,959,906,002,228,213,974,710,494,661,
189,642,463,654,355,607,324,665,840,725,889,301,362,101,414,485,081,206,961,
583,288,370,194,160,965,171,173,171,349,662,232,126,989,333,300,171,782,259,
330,909,818,179,265,413,968,915,980,879,095,154,512,267,909,743,393,962,246,
379,332,615,047,306,496,385,562,693,711,631,602,178,193,519,980,678,874,796,
552,623,646,200,230,523,640,752,113,409,652,511,520,908,374,218,586,682,180,
879,707,879,821,225,459,659,747,665,821,232,535,274,932,411,313,530,998,952,
619,713,592,435,311,668,049,513,959,398,678,714,343,525,043,748,035,225,559,
061,068,200,482,056,299,661,431,669,542,660,224,880,740,988,470,824,976,103,
044,610,820,394,617,147,360,140,632,609,669,846,016,290,809,689,910,485,352,
141,958,507,545,816,349,930,248,587,280,109,915,279,798,943,124,016,753,066,
681,079,163,711,865,061,138,426,117,970,769,459,280,082,509,782,555,842,835,
573,926,564,295,196,398,662,874,720,969,678,737,616,498,784,800,781,439,685,
659,636,762,594,321,543,038,342,160,511,560,186,973,851,826,880,802,379,351,
184,185,317,995,571,310,190,167,605,918,900,631,286,224,836,247,700,160,914,
050,775,940,588,738,223,534,311,009,445,483,063,624,372,134,661,131,617,726,
953,182,142,147,593,383,729,811,587,768,044,480,224,326,260,525,225,502,289,
448,050,096,638,422,267,915,966,631,086,181,634,971,645,308,390,787,050,788,
971,100,409,631,164,419,195,454,073,838,563,937,438,715,107,312,992,907,820,
845,057,736,624,562,332,401,957,741,235,762,462,730,493,968,286,948,108,974,
926,271,440,924,929,267,205,733,642,800,702,331,786,658,098,876,544,849,283,
492,537,375,456,009,696,699,301,021,505,876,472,041,588,599,444,316,728,553,
912,364,474,637,525,674,160,408,957,300,784,963,965,130,932,940,853,803,794,
723,509,212,691,677,283,186,519,380,051,468,344,111,214,126,438,971,229,072,
754,626,947,001,399,236,037,547,594,201,244,380,900,643,402,458,383,729,193,
599,043,073,209,917,950,843,366,696,450,153,389,516,510,819,223,102,952,195,
320,019,101,841,760,085,893,667,308,237,022,066,250,456,331,099,575,489,130,
124,769,669,940,859,743,698,192,304,891,179,184,233,060,508,615,440,442,254,
509,648,603,452,951,936,150,698,284,241,068,539,561,045,823,651,154,549,867,
576,377,157,611,413,374,430,179,493,026,845,225,868,924,353,235,928,500,125,
569,458,535,309,317,897,427,948,892,918,357,303,750,335,939,946,725,039,999,
386,361,745,675,393,108,905,284,889,204,810,983,432,265,788,658,236,584,507,
921,647,855,329,314,596,860,974,768,085,330,305,854,547,258,746,743,158,692,
454,496,520,857,578,159,821,692,114,571,057,645,935,709,244,382,320,111,460,
920,009,139,522,526,254,530,241,271,929,342,821,033,147,187,303,901,012,036,
127,961,876,939,154,572,897,025,547,414,559,932,693,468,092,137,742,720,408,
523,474,947,715,789,509,468,818,344,621,558,697,908,025,666,253,420,944,835,
286,213,752,275,860,594,376,939,640,771,156,685,324,386,314,714,276,241,014,
362,282,459,675,872,121,183,119,063,310,596,266,276,071,017,174,640,822,250,
429,624,252,492,327,980,399,480,712,147,974,462,279,053,443,100,034,547,248,
957,198,786,827,902,450,110,947,320,063,191,107,564,292,098,588,715,356,179,
390,903,145,538,503,605,808,250,917,418,780,809,309,316,219,927,052,774,062,
162,510,215,729,491,032,677,076,301,422,487,734,030,768,624,252,839,841,689,
192,792,922,868,742,837,011,261,276,934,595,776,043,608,069,042,705,126,186,
727,431,375,426,969,267,079,790,415,682,396,315,224,792,989,519,712,779,462,
196,304,514,715,090,597,129,369,968,329,183,413,309,090,834,117,680,514,284,
817,235,128,080,701,158,773,669,778,433,092,629,577,161,270,585,677,727,014,
411,926,187,964,430,357,613,959,165,057,662,871,686,738,662,505,952,926,908,
354,835,312,185,133,931,042,543,868,689,614,828,177,890,969,939,157,016,354,
433,571,122,980,488,425,334,709,242,351,290,726,617,278,811,320,321,133,040,
706,534,097,307,188,623,386,188,685,186,611,824,088,727,827,588,595,001,360,
225,764,811,533,537,822,171,123,992,128,054,011,435,005,128,934,436,360,106,
670,338,938,001,020,061,566,551,579,910,804,045,109,683,946,359,384,416,940,
414,804,924,807,358,782,366,159,611,054,903,049,428,484,794,483,722,570,093,
787,166,218,918,161,199,346,578,324,015,223,193,173,405,531,340,095,552,510,
846,303,231,103,823,841,483,471,115,606,008,329,401,841,437,903,453,861,817,
018,226,307,121,668,303,071,268,231,060,238,501,794,156,524,851,972,106,858,
171,786,264,640,681,131,239,581,550,138,446,621,056,492,264,725,381,195,514,
020,805,251,789,368,724,577,153,376,562,492,075,448,353,418,587,189,087,131,
831,001,757,808,020,337,517,459,767,503,638,655,454,199,605,688,237,385,981,
444,161,230,418,614,992,499,689,027,241,981,124,509,608,749,756,042,964,086,
714,583,594,563,610,641,904,709,983,169,154,179,030,643,919,299,317,842,080,
166,149,724,273,768,823,740,636,550,162,114,189,947,486,951,455,363,820,201,
002,660,939,934,458,775,772,690,918,343,172,817,596,188,804,953,629,590,455,
323,882,546,108,092,886,495,812,857,697,914,786,787,986,311,813,943,378,200,
528,888,944,070,642,804,217,665,782,296,622,092,971,271,930,799,314,659,967,
275,575,036,648,046,470,829,255,318,889,696,839,493,722,138,026,952,819,117,
262,605,621,515,638,835,520,115,401,448,874,149,020,125,421,944,352,602,874,
062,611,298,761,528,626,122,183,788,834,766,999,335,391,675,508,034,777,276,
418,996,172,671,343,389,608,226,053,060,101,870,636,860,167,722,560,233,441,
043,311,842,661,743,689,741,912,810,474,511,646,176,754,192,766,103,146,431,
301,665,529,686,885,818,613,780,726,515,112,570,331,120,858,062,317,897,111,
189,881,929,925,447,808,731,742,898,302,964,960,329,650,876,787,290,674,939,
676,790,207,714,245,067,325,678,535,597,185,871,609,355,663,860,451,025,419,
720,246,105,108,765,115,595,251,047,842,033,337,860,795,602,679,566,884,445,
639,839,332,127,762,917,529,952,377,447,775,756,791,206,293,372,912,313,383,
195,711,097,274,362,797,792,952,175,328,487,452,509,822,829,973,992,161,145,
313,669,944,248,468,459,438,100,813,348,459,468,673,220,192,590,662,641,280,
825,746,732,620,231,805,159,199,438,696,110,430,441,885,908,898,677,289,104,
894,306,231,046,288,961,907,759,843,009,531,077,327,289,289,453,342,697,983,
572,079,359,496,209,523,374,635,833,974,029,639,532,024,148,264,389,073,429,
307,249,361,805,201,814,368,799,735,075,967,262,406,026,148,704,401,351,965,
435,781,869,258,991,691,020,655,111,953,759,604,552,042,230,474,341,388,408,
437,450,287,119,183,583,461,492,405,345,451,174,081,366,303,640,319,143,211,
421,638,219,655,373,129,406,254,929,878,899,186,693,258,284,395,486,041,206,
608,629,162,169,256,798,217,480,627,576,410,951,091,696,130,286,188,644,131,
430,859,943,017,263,496,995,003,064,431,710,097,012,081,501,527,641,230,587,
956,599,531,254,056,614,206,028,911,043,688,481,695,662,133,264,229,054,989,
930,346,683,936,052,121,604,396,348,720,361,989,232,082,846,978,087,927,453,
177,160,576,937,597,998,069,341,605,851,333,375,989,145,082,173,552,997,468,
185,429,226,937,927,039,633,080,257,984,077,198,565,783,386,702,812,041,945,
515,983,921,144,885,886,330,312,464,538,574,970,655,463,233,884,263,052,815,
858,252,504,688,584,847,640,553,729,630,240,313,476,761,741,706,007,565,495,
198,473,411,557,648,404,641,346,239,824,516,421,613,885,668,139,941,582,453,
632,091,641,153,303,497,115,983,315,904,061,413,629,888,016,757,526,560,216,
637,869,348,094,298,544,745,033,261,755,887,038,834,850,237,037,927,049,864,
766,978,857,545,730,574,535,386,858,791,703,346,869,203,631,414,424,036,056,
280,719,149,697,617,231,357,056,376,504,586,068,497,549,907,584,733,703,485,
685,812,030,766,572,153,313,035,003,733,685,841,178,385,628,797,513,718,998,
010,337,933,853,259,275,801,943,679,464,223,140,043,679,264,104,525,287,173,
118,610,527,129,754,367,644,780,481,252,822,204,158,426,293,595,863,718,461,
507,798,503,296,279,513,580,327,483,733,451,168,402,888,149,820,769,519,335,
266,347,279,968,767,331,645,913,612,212,564,217,396,063,793,952,132,821,063,
766,682,642,832,694,945,951,510,981,381,695,528,202,425,401,864,936,818,096,
332,786,621,689,508,472,981,911,368,983,544,836,472,207,596,639,623,362,938,
158,815,583,822,050,087,686,513,966,591,037,538,703,809,010,147,891,327,901,
379,243,100,568,134,523,901,564,265,276,837,417,896,359,098,212,571,770,741,
267,184,505,848,935,728,890,486,817,782,080,978,740,594,007,044,619,228,338,
570,034,500,911,020,527,653,916,042,775,127,984,364,192,043,292,263,870,662,
542,033,611,747,550,309,714,946,342,356,549,877,688,112,345,667,077,415,330,
882,869,033,714,994,307,109,026,968,238,038,639,050,240,427,604,073,760,502,
926,585,562,255,528,585,296,729,279,515,188,496,741,401,832,907,557,650,902,
923,763,570,314,752,954,512,394,930,820,852,608,719,633,731,567,672,362,532,
735,095,558,444,191,135,679,896,504,486,615,488,213,630,737,616,655,705,755,
067,529,173,117,857,155,861,891,736,988,756,364,307,278,125,431,664,142,741,
760,799,408,119,819,927,810,942,031,937,800,920,569,253,236,888,025,849,981,
580,534,390,427,371,731,446,759,932,624,926,823,923,349,548,106,124,806,900,
973,998,623,198,703,633,691,088,271,168,611,083,600,906,971,923,078,501,915,
453,859,282,410,416,405,724,944,004,120,112,109,924,172,551,790,489,398,116,
381,900,732,860,145,652,235,860,961,530,108,857,585,223,300,663,658,259,534,
096,110,589,129,985,691,366,344,975,933,439,875,024,903,087,377,626,143,395,
367,625,256,811,222,295,169,662,802,470,293,181,658,646,258,519,600,228,120,
476,368,926,743,904,020,645,268,237,402,393,049,678,360,716,303,373,208,193,
344,388,849,790,733,629,631,178,380,767,965,588,650,116,081,592,727,366,973,
826,090,711,799,443,730,233,379,913,620,140,248,550,514,620,788,075,992,785,
923,816,904,741,638,444,644,036,271,254,996,252,368,411,749,669,307,280,434,
077,551,836,287,941,657,800,524,081,196,457,278,075,692,772,423,125,875,837,
969,160,679,309,024,263,738,951,528,696,618,760,686,479,816,547,495,846,528,
699,666,662,006,690,876,151,337,477,991,695,285,243,682,469,158,859,996,972,
161,056,141,442,653,719,852,103,002,443,194,075,720,517,663,658,831,352,473,
864,640,471,932,139,879,943,890,243,268,335,479,303,030,771,513,731,503,373,
434,234,030,328,474,729,970,630,368,909,892,998,072,016,226,828,944,726,666,
588,330,132,438,861,043,062,667,626,346,802,079,984,242,816,723,652,794,237,
903,864,243,777,016,824,989,875,447,270,710,103,098,667,922,873,054,206,526,
478,704,634,085,018,767,791,626,559,101,817,498,716,978,057,308,313,486,992,
831,691,127,947,276,275,745,748,003,081,204,972,042,262,804,492,047,983,892,
007,958,761,816,193,595,081,500,944,374,614,668,233,813,644,675,558,401,080,
413,694,932,890,849,931,192,740,512,149,566,236,362,420,212,385,909,621,228,
508,033,832,659,689,302,080,268,133,025,302,550,837,442,890,362,116,261,459,
069,981,741,288,997,937,877,240,331,453,526,341,573,387,770,774,884,495,946,
191,432,607,148,154,536,062,372,985,653,434,190,829,573,312,764,997,208,604,
640,402,097,009,046,510,983,050,133,832,519,044,225,944,472,102,272,283,143,
839,665,055,003,310,082,769,227,435,885,881,169,917,447,381,334,591,591,896,
546,696,420,412,147,537,758,472,410,377,579,861,649,877,171,406,406,335,028,
535,882,571,773,798,921,488,108,984,681,056,644,787,163,142,913,184,447,882,
167,816,130,037,533,076,424,458,573,746,708,227,985,853,946,560,030,644,914,
931,930,258,178,208,270,504,968,114,439,717,350,850,250,432,678,933,907,368,
184,786,915,278,449,985,324,210,704,633,296,020,643,846,791,456,194,634,672,
120,810,390,559,752,142,527,136,812,839,023,813,755,534,376,893,555,096,907,
411,523,562,003,564,261,713,632,985,864,292,963,131,519,858,678,979,258,558,
700,144,208,425,503,993,012,253,185,711,311,711,334,359,689,292,365,141,760,
000,964,129,599,303,248,419,046,044,675,604,949,629,665,200,016,115,650,093,
916,325,483,524,644,238,693,069,815,542,673,272,247,556,548,370,779,939,705,
816,337,885,441,415,463,834,433,907,796,278,223,091,337,302,529,268,107,931,
062,819,929,513,481,815,103,599,631,409,698,137,888,384,145,433,264,285,538,
360,925,415,899,397,879,024,386,495,962,009,796,537,690,621,776,672,973,198,
950,300,102,140,934,882,134,101,699,097,066,209,624,991,643,990,227,129,140,
664,788,257,246,594,322,932,232,090,678,469,171,111,814,689,003,799,913,061,
149,883,468,542,541,715,392,426,400,146,970,696,176,315,389,815,653,935,605,
881,933,825,100,625,280,397,831,210,327,496,024,977,644,581,762,444,573,484,
235,047,146,662,842,391,661,178,113,594,423,048,150,888,802,098,959,018,378,
205,857,650,749,429,317,244,194,940,677,716,295,847,881,718,444,617,748,020,
944,408,076,950,096,685,763,869,407,208,015,285,902,950,776,807,780,776,195,
368,226,368,706,175,582,072,932,150,381,558,415,170,814,698,681,685,730,403,
608,315,027,962,562,427,216,104,605,102,693,571,183,786,865,240,360,281,066,
810,725,572,845,049,097,838,272,152,954,561,275,241,079,347,031,007,160,322,
464,274,258,545,810,300,968,951,681,849,048,915,525,943,884,357,123,513,422,
468,276,277,820,530,983,745,283,809,209,049,116,026,098,194,174,338,339,720,
293,295,504,267,173,417,605,671,116,510,203,842,654,881,682,721,807,974,892,
119,223,891,718,765,600,604,204,357,127,498,241,222,890,189,165,150,117,703,
908,616,260,073,608,850,041,569,461,220,917,984,469,431,331,248,892,598,786,
717,611,931,997,790,147,764,298,667,508,712,384,397,363,011,324,663,096,002,
636,144,552,484,628,550,603,118,675,171,934,607,854,990,607,078,000,514,535,
487,557,759,929,574,702,524,984,030,392,488,440,136,793,314,952,117,212,611,
280,969,982,897,839,211,820,503,334,016,727,158,628,589,902,584,852,055,605,
632,977,252,560,947,650,328,191,641,373,551,095,208,111,153,263,677,333,135,
292,907,859,390,401,732,603,519,051,998,385,577,388,966,377,124,670,004,394,
626,607,273,876,757,682,151,216,929,580,539,693,526,053,575,791,230,748,197,
182,846,137,836,476,363,437,147,143,528,275,434,051,030,854,815,132,007,271,
033,425,029,042,013,307,323,704,738,653,919,109,202,943,602,461,611,810,981,
518,586,141,693,477,294,075,681,601,259,430,435,042,170,463,519,641,292,940,
725,217,970,967,700,509,005,548,849,458,273,262,578,330,730,352,848,670,672,
976,086,527,741,066,352,775,963,237,863,193,336,607,228,730,658,674,313,978,
053,306,114,520,030,348,655,090,074,989,160,547,596,179,956,799,783,445,910,
126,443,360,361,392,757,546,739,707,648,793,957,774,907,565,890,378,684,298,
451,875,001,114,019,039,424,458,342,278,643,811,414,873,952,627,169,422,012,
413,167,275,586,945,775,306,317,059,120,927,712,373,125,627,878,272,219,207,
838,953,439,275,640,691,916,064,298,779,862,040,253,161,090,935,467,270,262,
689,539,218,529,631,346,316,036,522,755,663,911,122,820,405,834,161,889,181,
448,620,391,624,637,022,096,784,394,811,167,607,403,199,591,869,997,938,140,
631,821,358,655,643,924,009,791,849,468,312,594,018,500,027,878,561,368,047,
831,104,000,851,264,006,128,455,999,498,497,008,629,098,556,130,102,753,765,
304,403,328,672,390,026,311,331,542,189,025,321,738,111,034,077,924,694,157,
253,117,148,500,705,562,076,691,902,898,508,862,533,990,518,265,735,705,477,
137,594,807,622,891,466,915,124,180,688,714,749,264,752,977,251,824,059,051,
494,398,643,916,642,833,654,748,468,980,012,388,320,948,395,558,435,621,442,
121,026,477,289,263,426,003,165,670,156,510,582,067,932,406,397,588,501,172,
363,201,426,223,288,193,948,669,946,927,796,407,699,615,355,718,388,491,909,
338,263,510,399,700,529,095,605,631,962,779,267,954,138,363,882,104,530,761,
352,927,421,909,602,735,587,277,400,310,546,466,188,968,946,336,916,895,662,
607,620,590,195,683,120,865,147,511,374,615,022,203,997,036,467,040,188,413,
145,954,735,993,189,753,461,543,245,043,033,615,002,185,229,350,476,849,394,
751,946,632,738,529,089,850,240,893,902,799,752,981,480,517,668,205,700,296,
330,519,648,770,038,839,903,683,329,250,927,018,108,998,914,462,255,712,081,
239,136,352,615,425,301,297,177,891,771,180,581,569,570,262,407,200,077,062,
072,418,981,694,656,693,318,834,009,894,208,606,140,147,421,098,096,867,113,
869,717,438,063,321,761,896,550,875,233,035,136,768,979,789,451,624,526,623,
324,763,089,658,935,642,554,303,348,749,343,950,822,909,462,754,088,706,624,
074,328,380,122,644,512,282,058,893,271,076,868,170,734,009,578,163,894,171,
512,517,758,942,924,710,017,864,258,160,754,054,286,026,937,969,788,280,027,
946,999,212,660,727,511,361,782,541,172,652,929,489,675,020,171,277,920,778,
391,252,398,255,409,582,744,776,807,331,988,423,484,455,895,287,753,412,793,
102,050,567,627,529,923,319,892,333,559,782,142,427,997,566,693,517,618,871,
312,092,339,574,958,534,954,759,265,074,300,535,378,912,769,505,636,294,359,
668,639,832,186,267,105,411,457,440,554,590,709,614,243,952,692,458,286,296,
049,526,941,015,964,053,159,485,278,810,971,564,910,418,733,730,018,818,086,
408,745,463,232,622,122,366,502,350,732,680,552,594,037,524,745,215,897,151,
128,114,623,675,356,222,815,259,565,347,004,976,341,414,897,983,799,334,131,
436,456,976,585,076,091,788,455,186,039,967,016,968,237,885,527,308,628,831,
502,843,953,005,397,910,874,995,068,492,867,511,951,292,670,620,296,230,499,
703,563,099,973,777,321,520,251,010,743,149,117,071,448,856,002,051,496,470,
569,870,615,092,818,324,514,200,418,755,386,980,338,048,965,199,945,643,502,
076,222,045,677,772,582,388,335,036,775,464,605,866,991,850,175,137,242,873,
488,610,204,303,157,910,269,371,710,573,162,673,199,934,753,891,416,497,928,
029,929,175,647,437,393,793,258,094,365,500,450,577,975,973,130,921,192,470,
438,048,962,577,313,258,435,599,812,214,609,844,296,377,538,632,312,281,087,
452,345,330,390,679,940,547,631,010,567,293,906,777,582,873,809,494,114,287,
343,602,294,535,714,009,665,294,096,944,714,759,410,422,646,937,100,521,019,
771,629,486,193,448,862,597,209,484,181,357,297,050,396,515,658,678,909,679,
001,827,124,194,932,483,394,848,340,307,359,945,038,852,368,781,426,545,979,
334,878,565,855,512,382,283,420,758,389,010,291,503,325,304,643,082,349,615,
183,922,277,254,284,605,052,451,895,475,890,677,619,397,817,569,766,084,473,
226,518,190,309,424,456,869,262,412,387,365,101,912,548,810,914,658,882,746,
033,509,593,639,246,514,479,422,976,864,239,887,404,098,577,742,629,961,474,
889,975,197,115,038,112,334,748,239,119,468,955,888,817,019,777,068,274,337,
080,233,885,586,470,311,504,776,994,873,055,832,281,832,746,766,299,841,936,
672,982,887,798,088,263,763,569,857,502,354,553,052,417,166,614,932,677,589,
202,727,715,683,968,131,843,388,396,200,597,102,770,684,730,472,728,828,476,
296,353,734,179,956,447,513,263,341,112,211,237,145,076,745,681,842,609,704,
308,047,251,375,882,031,264,864,266,734,670,950,400,339,073,437,021,952,775,
345,817,567,465,140,523,264,272,979,572,860,734,979,399,437,912,596,143,584,
033,615,942,493,188,245,209,343,773,290,437,369,458,249,687,323,978,551,783,
097,969,806,153,753,954,267,301,321,481,471,158,655,973,099,398,861,495,521,
874,291,265,550,377,850,873,287,239,780,003,698,180,551,260,048,946,204,992,
158,613,271,029,762,978,803,861,902,863,283,602,121,326,986,698,273,331,384,
054,036,697,118,178,354,800,270,458,305,295,617,130,519,468,300,838,272,060,
468,226,831,294,799,081,561,511,450,602,476,372,647,132,778,341,899,673,865,
389,101,799,468,541,072,453,042,824,172,187,189,925,921,958,455,900,265,762,
787,120,615,372,301,044,427,744,406,574,544,097,166,901,422,085,914,948,892,
383,604,513,014,253,617,791,936,926,891,114,507,851,025,834,837,828,647,672,
988,827,884,490,353,628,484,662,675,602,306,661,848,681,886,949,473,743,492,
205,402,600,596,128,544,266,262,789,029,767,170,486,554,922,777,010,644,551,
795,148,779,299,439,237,673,567,679,116,023,146,742,786,734,537,704,063,441,
479,881,915,869,238,920,767,778,369,797,636,362,948,495,074,097,895,874,555,
880,699,101,826,578,958,064,529,960,185,606,756,550,235,920,741,463,606,403,
266,658,585,784,616,855,189,659,604,568,776,470,196,878,112,847,751,020,298,
278,456,895,376,963,731,121,931,855,425,494,936,018,897,394,540,089,354,883,
643,657,023,015,086,155,115,843,804,700,397,168,191,015,439,203,798,721,354,
934,236,903,663,775,380,445,686,397,459,468,102,704,324,839,541,906,968,425,
683,667,228,943,627,486,418,833,700,552,281,620,663,651,407,688,569,587,668,
944,909,155,491,359,595,657,094,939,756,028,123,170,154,624,471,775,999,510,
869,708,983,778,800,821,198,906,914,959,237,049,168,750,420,784,350,494,819,
413,779,256,216,297,225,046,398,158,877,550,303,185,599,384,770,616,025,616,
338,476,592,333,218,283,668,624,707,642,411,587,159,516,650,353,595,978,719,
866,584,421,901,916,207,640,643,072,182,345,081,111,135,530,680,453,892,563,
841,027,929,567,500,430,924,580,581,087,914,671,799,869,188,843,597,599,339,
546,070,349,097,133,717,213,774,358,151,432,776,603,764,491,015,777,023,943,
161,379,778,882,440,983,416,150,130,695,355,584,647,799,808,409,933,199,732,
089,778,700,246,229,914,773,195,957,245,890,203,926,722,521,536,838,466,322,
104,118,295,361,808,854,279,983,448,169,044,609,058,979,275,156,163,684,299,
173,307,542,123,192,457,703,622,362,498,245,395,534,132,312,118,213,684,882,
481,321,264,013,253,533,777,195,286,108,725,321,782,088,171,735,606,547,283,
118,310,361,472,518,385,976,393,957,346,004,034,328,139,352,500,803,465,656,
606,454,729,000,354,952,375,682,525,664,628,968,782,122,809,818,901,021,436,
974,770,773,140,693,303,739,752,108,123,731,383,200,589,640,847,278,614,382,
974,863,629,783,855,352,588,772,417,050,052,768,784,164,676,318,842,687,553,
204,430,577,704,827,276,021,593,137,184,164,017,789,768,136,701,989,195,977,
071,232,337,137,019,810,703,437,480,271,793,788,732,671,959,452,092,558,028,
021,064,801,229,420,450,894,678,662,804,805,466,054,542,026,852,363,620,590,
815,420,742,835,324,884,630,667,768,219,379,740,377,350,926,121,899,368,505,
659,405,680,935,540,194,482,477,691,905,867,000,492,415,755,116,252,930,814,
266,501,557,400,483,804,723,506,297,633,874,120,816,097,645,829,979,105,868,
777,193,404,063,275,512,927,178,528,868,344,156,743,724,304,788,153,477,818,
537,220,142,832,942,251,337,423,663,616,753,488,762,033,601,612,351,882,320,
349,191,284,571,193,855,257,025,969,654,421,568,344,816,438,139,063,536,816,
922,567,929,709,153,674,123,303,284,899,244,405,002,168,406,367,288,806,515,
593,793,253,165,369,669,736,158,642,207,642,898,397,054,117,056,768,493,896,
205,318,215,451,474,738,074,030,367,033,665,597,545,268,244,554,995,666,834,
752,821,230,451,171,770,529,602,929,382,515,146,939,973,719,941,098,096,426,
503,351,703,231,827,799,605,594,620,163,456,720,074,423,595,163,157,986,986,
347,201,245,354,622,227,133,956,515,801,196,955,432,282,754,168,970,305,998,
109,446,476,625,301,179,426,631,859,098,090,695,338,419,368,004,042,415,088,
336,893,649,665,032,205,326,077,728,242,973,725,796,694,665,026,335,513,101,
556,060,387,545,293,529,496,168,446,710,573,221,587,298,537,880,010,767,814,
007,308,352,782,924,797,921,710,411,546,005,075,889,968,220,439,762,551,666,
775,243,179,350,231,298,423,242,547,892,837,087,644,373,421,989,481,715,955,
796,293,046,715,976,709,328,683,924,272,533,556,173,478,434,519,458,921,858,
562,533,410,363,844,263,236,985,102,068,393,991,826,198,095,691,476,596,467,
184,921,451,277,547,614,165,734,532,260,930,914,839,304,918,733,998,369,040,
307,560,591,820,326,995,554,244,961,781,554,993,852,161,437,713,004,468,042,
846,348,930,142,871,971,314,694,487,198,833,424,654,629,477,928,651,821,850,
540,027,310,919,537,008,836,604,692,472,285,790,987,091,157,997,991,779,620,
419,925,781,611,650,107,761,659,003,801,932,871,080,550,149,156,928,017,565,
240,376,902,178,521,388,450,394,445,558,507,838,141,225,821,507,391,741,769,
147,177,506,357,348,031,772,146,490,140,677,375,958,876,163,460,077,646,326,
099,804,928,408,945,786,520,770,274,576,292,393,674,258,686,716,046,181,467,
633,755,774,338,691,248,226,286,039,818,502,609,133,968,268,468,773,134,150,
780,440,335,339,774,110,739,655,861,253,842,556,143,822,344,928,906,897,348,
929,421,848,309,650,575,048,481,191,701,505,282,717,328,922,547,311,984,407,
767,159,787,238,474,231,523,879,370,919,562,822,727,842,622,037,997,572,461,
011,188,507,790,902,624,941,481,322,403,399,573,861,829,591,111,514,674,445,
498,009,979,825,767,764,015,256,271,570,020,545,496,460,910,495,277,889,892,
095,707,006,673,213,163,213,402,491,594,106,578,645,681,322,408,533,430,265,
459,291,175,209,107,974,972,753,672,372,622,684,550,177,708,332,513,452,907,
075,070,796,529,883,657,645,933,258,958,155,526,069,399,247,829,255,514,696,
397,879,859,585,270,736,618,934,214,957,807,282,095,204,310,018,411,786,437,
640,858,217,856,315,284,205,597,559,487,633,992,545,052,109,940,026,033,690,
724,610,121,923,782,918,297,103,519,284,831,323,363,631,300,164,250,866,831,
185,165,816,982,457,391,523,218,488,191,072,405,277,264,192,243,843,322,543,
368,893,299,111,307,312,895,541,135,428,688,383,101,121,823,816,773,929,034,
435,921,735,491,607,234,311,395,743,483,624,803,900,736,538,988,064,389,801,
223,213,397,321,415,851,160,532,419,811,798,896,395,144,591,444,347,671,884,
652,233,585,902,462,538,862,274,573,457,044,670,355,956,763,154,803,719,514,
201,374,957,347,019,132,792,945,192,156,884,501,138,143,041,754,167,884,497,
652,875,229,331,822,544,168,461,226,276,184,244,769,005,526,430,017,344,666,
411,135,299,146,626,054,384,805,184,889,237,702,232,464,186,051,401,373,968,
425,321,817,514,216,348,307,447,315,635,562,391,092,288,310,361,113,167,227,
564,342,159,833,977,360,530,860,081,351,417,659,187,460,018,419,415,660,545,
150,001,733,204,699,522,721,532,212,622,082,701,057,178,800,780,335,563,171,
347,052,286,845,381,353,111,703,815,060,512,236,552,808,750,572,754,155,470,
658,500,867,989,437,798,689,461,891,904,796,076,551,297,108,365,416,300,643,
595,644,820,640,553,855,570,129,069,842,010,638,949,031,046,931,286,537,705,
154,760,203,070,925,323,878,205,297,828,478,750,738,677,775,510,209,338,535,
909,224,035,106,949,889,902,305,030,619,270,294,236,864,578,131,664,889,602,
988,465,578,385,821,958,172,403,968,022,923,591,954,115,017,417,325,699,413,
237,321,672,018,439,538,620,702,583,756,553,097,072,441,829,642,622,724,339,
927,856,195,532,288,826,215,345,122,115,049,123,990,054,183,732,462,428,856,
997,899,826,993,868,779,477,401,926,086,725,719,438,377,582,782,859,635,945,
881,281,866,720,788,565,413,113,735,657,743,961,603,600,473,944,789,651,488,
260,972,532,920,132,876,973,280,992,031,721,152,391,350,625,230,553,833,193,
071,054,253,958,971,844,353,615,581,093,504,727,316,069,686,907,791,137,733,
028,310,255,456,063,346,403,799,945,175,337,360,413,033,158,989,335,747,090,
519,601,309,972,454,676,822,334,868,275,605,646,540,229,480,035,217,560,735,
936,511,093,819,488,648,895,929,637,214,246,721,681,087,932,476,644,791,271,
430,038,471,641,453,940,032,939,034,258,924,408,587,974,658,924,288,677,590,
789,877,399,856,035,785,543,653,837,227,397,339,368,395,913,892,942,629,396,
932,045,008,945,532,273,283,308,292,304,017,396,464,200,174,463,093,562,320,
227,283,145,436,192,007,004,345,784,262,564,680,050,671,377,567,930,273,038,
394,002,402,115,268,082,487,852,705,398,446,063,077,170,452,562,070,163,937,
490,846,569,228,757,687,810,188,819,222,253,875,183,878,103,968,269,601,215,
732,050,132,696,592,177,183,385,455,779,277,303,903,442,571,420,080,282,660,
254,402,539,113,592,449,621,800,111,486,188,115,549,364,995,482,735,050,664,
544,152,141,163,627,664,726,245,216,683,877,896,048,639,091,945,173,916,675,
963,211,000,861,767,561,964,379,916,030,451,687,881,795,982,377,293,807,556,
112,246,408,711,454,195,702,157,145,689,562,810,635,039,196,811,888,325,252,
940,248,723,043,952,774,745,147,342,357,786,796,779,310,506,802,151,161,665,
913,390,562,865,193,663,195,653,612,417,379,462,074,265,940,304,201,989,655,
493,646,691,552,702,324,395,970,565,958,961,072,554,496,033,225,853,016,054,
040,655,963,633,876,602,872,843,913,669,371,481,881,416,239,061,287,067,995,
394,657,298,647,233,111,392,106,713,811,323,264,558,570,182,651,972,394,016,
785,649,942,401,666,573,421,950,631,631,744,224,819,919,466,966,781,854,311,
587,126,065,861,744,567,428,895,667,494,938,927,491,070,447,085,833,217,937,
452,445,356,122,953,528,075,315,932,046,812,733,937,587,148,366,229,835,995,
355,654,687,481,091,501,320,026,723,173,984,878,297,336,310,692,611,168,321,
628,956,016,990,497,737,594,780,535,813,771,469,606,751,534,014,204,464,494,
398,958,211,407,160,240,801,285,815,666,229,228,103,852,078,904,977,249,185,
892,585,504,323,207,126,025,773,686,942,553,357,656,314,633,532,978,585,658,
208,648,264,906,315,207,859,857,988,926,868,793,465,290,562,686,664,691,237,
944,576,504,330,839,175,108,679,431,865,041,059,912,420,112,949,018,979,917,
742,664,737,291,852,565,557,232,563,271,067,378,879,682,409,205,220,615,003,
568,170,077,798,876,530,960,728,477,118,489,953,408,522,749,613,375,821,881,
851,136,019,149,575,898,940,625,454,789,742,974,932,637,045,395,969,869,098,
235,095,576,398,968,470,470,726,857,563,771,286,886,627,770,040,149,695,259,
250,113,157,606,777,076,485,107,242,845,885,583,152,872,666,169,787,580,667,
625,495,937,310,961,562,904,596,307,274,236,318,381,318,859,265,378,531,779,
518,465,556,275,177,731,301,127,763,292,982,210,843,170,443,458,525,246,986,
583,657,838,003,709,653,290,827,381,105,740,383,291,938,934,717,517,037,939,
086,557,086,370,100,752,057,032,599,374,561,317,802,343,864,230,032,466,775,
146,321,094,768,093,212,614,177,121,894,001,835,761,094,709,717,434,403,857,
250,121,306,876,266,841,176,681,120,511,157,353,578,271,651,173,279,010,993,
592,684,985,248,340,514,255,695,090,741,328,665,453,622,752,248,873,302,211,
492,881,403,753,351,181,872,454,356,258,824,116,065,913,529,334,183,369,732,
102,929,373,709,448,743,942,420,271,556,971,084,884,270,505,562,973,245,500,
065,267,335,804,304,041,755,775,979,239,534,068,222,490,635,084,479,275,070,
436,010,975,666,094,687,224,926,680,083,311,723,430,333,573,404,995,339,428,
357,699,058,685,936,950,538,621,581,546,078,141,447,709,892,699,608,915,408,
485,749,553,558,131,280,850,944,919,608,030,644,057,946,346,569,661,101,421,
257,417,097,791,655,470,864,322,820,112,190,837,516,339,980,174,608,220,295,
315,328,411,141,573,390,104,479,090,121,686,122,561,879,518,604,440,285,717,
190,429,008,715,212,877,251,364,576,910,360,254,834,228,044,765,292,504,028,
199,669,434,246,729,701,199,614,194,384,196,692,073,262,110,645,473,314,467,
723,081,604,658,576,326,017,422,489,970,850,572,338,623,283,836,276,810,373,
330,132,659,230,579,774,687,387,834,894,653,217,873,015,171,967,575,611,260,
421,165,372,956,232,743,354,523,389,726,787,465,435,938,460,551,193,864,667,
846,010,661,576,793,121,312,768,034,344,459,071,328,731,332,223,292,445,407,
283,495,556,960,801,305,340,776,003,297,862,834,257,113,196,867,024,463,053,
276,620,470,988,887,268,346,445,970,858,287,255,965,628,938,567,171,776,332,
875,134,938,684,728,781,484,427,842,264,403,470,479,522,471,363,042,494,017,
247,091,180,861,816,239,918,069,775,538,783,835,743,054,271,043,134,648,928,
698,557,322,382,738,889,507,344,641,240,064,672,538,135,889,872,472,526,182,
655,249,497,810,164,726,444,633,073,865,148,679,293,476,846,366,172,601,808,
834,906,831,851,466,267,364,417,166,728,306,056,937,903,839,107,143,444,758,
660,847,103,162,328,443,385,887,716,468,506,376,006,945,903,894,998,770,651,
511,491,333,709,730,417,563,646,685,873,677,379,144,198,597,971,658,502,891,
672,255,453,629,241,254,578,789,166,006,325,797,860,513,028,629,658,127,183,
493,716,391,539,623,509,137,076,637,916,942,055,893,385,754,013,454,613,061,
287,167,847,578,591,795,906,848,407,747,435,624,398,527,262,455,983,577,920,
235,234,083,032,434,970,382,617,383,133,109,889,654,142,630,323,213,895,069,
818,678,594,843,289,423,936,069,674,603,860,520,318,963,715,592,871,949,530,
652,947,964,022,967,403,621,979,571,104,831,229,709,447,919,540,197,043,245,
176,307,195,961,625,267,167,550,280,739,003,907,227,386,343,302,689,433,754,
645,689,549,244,348,150,916,981,124,841,045,198,237,309,776,176,882,492,351,
554,591,993,873,586,949,372,291,452,794,333,949,328,383,839,967,588,190,347,
017,090,402,757,968,121,742,433,982,966,505,666,745,556,986,768,015,855,554,
439,662,444,118,531,285,361,130,457,348,387,587,093,722,565,791,552,032,430,
740,249,700,206,483,040,913,421,986,770,502,717,152,054,558,400,329,680,915,
910,353,493,124,314,205,093,717,473,568,661,711,085,213,607,819,421,164,511,
032,198,331,787,568,785,201,017,821,992,797,028,790,455,703,135,128,860,197,
683,076,172,949,945,557,196,514,751,540,519,795,874,413,044,321,532,131,756,
204,297,374,838,173,857,216,964,684,510,994,021,955,939,200,933,623,642,330,
906,344,963,208,614,078,174,982,402,187,259,922,084,193,177,527,764,320,004,
084,809,722,984,610,573,337,134,668,586,087,564,139,859,674,302,016,138,111,
227,419,530,119,735,296,956,417,135,723,472,699,501,092,740,470,771,986,644,
356,140,494,820,929,663,541,347,459,585,336,388,519,707,918,483,789,445,025,
676,779,586,493,892,979,840,361,404,956,005,559,410,703,168,775,125,318,771,
067,372,287,906,410,454,497,976,663,690,031,430,683,378,439,975,261,459,342,
922,298,910,902,906,095,428,813,688,873,326,933,977,841,992,007,983,649,091,
804,262,906,400,072,391,366,389,648,189,733,992,016,022,877,167,008,913,127,
240,600,521,559,974,867,867,658,941,386,306,927,462,724,000,452,449,196,016,
898,552,937,074,057,976,057,552,723,917,715,841,227,068,680,293,021,730,164,
758,663,426,309,811,708,209,069,290,381,940,712,398,440,070,194,700,314,507,
304,013,863,843,048,119,368,424,935,734,772,929,086,270,000,821,228,571,150,
305,819,904,611,164,875,421,752,814,560,953,005,724,673,798,428,542,436,552,
791,250,269,412,457,710,012,054,944,270,487,861,301,385,111,523,433,827,964,
946,337,787,285,957,997,288,759,700,100,492,646,137,282,361,834,177,013,744,
963,216,165,142,567,271,603,217,774,388,223,777,468,500,341,430,800,965,132,
297,016,225,160,913,237,329,338,786,039,828,325,821,101,772,909,424,607,353,
398,595,807,681,770,817,813,150,872,114,788,707,087,767,192,148,330,125,936,
859,559,222,043,183,972,409,690,454,992,990,725,732,150,643,774,448,256,491,
834,502,710,380,611,589,174,136,061,314,666,924,821,042,885,642,692,458,955,
652,957,564,938,810,761,937,481,759,193,885,674,403,910,446,384,553,747,437,
548,858,142,545,236,106,839,668,690,960,293,086,330,376,692,281,492,339,858,
211,752,389,080,034,402,727,705,462,007,635,847,506,237,495,867,514,099,702,
918,695,629,146,454,998,482,745,315,326,473,587,818,629,868,272,555,037,132,
189,522,856,913,131,127,825,146,190,849,159,326,268,186,758,135,054,211,171,
976,767,283,597,020,932,042,033,027,375,336,990,785,073,025,381,729,905,390,
588,375,447,130,039,673,984,227,679,509,255,310,252,588,766,663,016,836,268,
648,666,460,674,500,711,033,904,443,217,735,943,223,866,792,257,958,733,343,
741,006,264,395,366,775,045,798,902,464,050,892,507,127,834,828,001,705,934,
198,717,612,090,428,417,315,774,295,047,217,029,873,878,964,191,567,923,343,
526,298,673,121,470,954,457,863,739,085,209,631,329,719,331,108,550,545,275,
438,067,933,019,415,754,915,004,780,036,034,422,690,239,368,424,539,480,350,
974,713,071,676,326,789,018,292,479,475,417,256,456,569,405,814,769,493,996,
098,669,579,381,699,348,770,358,990,360,083,403,875,191,953,475,634,971,695,
696,659,260,699,026,260,164,073,896,769,498,067,193,196,218,146,313,097,668,
550,238,504,617,639,473,006,912,863,784,521,014,896,581,723,485,143,950,248,
079,868,292,275,433,241,888,580,267,831,241,051,540,047,540,671,843,750,582,
025,701,199,278,269,878,726,825,373,115,441,888,172,351,508,350,138,950,148,
919,247,257,060,268,647,906,646,287,960,676,703,730,567,543,215,552,431,064,
468,462,812,870,455,650,727,389,724,720,430,659,196,423,771,000,449,994,878,
067,262,298,531,779,915,318,164,389,038,855,260,606,350,388,476,452,763,862,
387,454,386,945,417,333,252,987,537,836,926,801,115,717,165,275,973,654,380,
201,337,389,187,460,421,227,651,529,838,176,721,894,300,207,468,567,598,017,
276,519,954,276,082,283,281,505,378,324,336,063,710,543,563,016,005,692,844,
948,746,057,688,392,953,537,265,119,455,102,674,977,027,471,316,319,539,825,
182,290,831,900,861,478,707,776,639,747,260,189,674,140,328,812,338,443,622,
407,350,798,047,222,941,527,296,525,126,724,247,009,171,948,475,034,750,919,
723,377,164,763,110,874,974,834,051,159,157,499,623,473,937,390,548,764,451,
323,485,204,779,857,209,318,120,620,056,151,766,426,327,325,083,533,101,038,
754,034,497,667,632,393,382,840,211,625,206,789,567,178,944,906,572,369,897,
279,860,377,474,336,285,518,892,020,613,803,732,529,012,731,962,324,414,105,
744,638,594,984,959,703,495,013,223,677,152,235,091,122,077,591,076,842,702,
106,956,170,583,078,286,246,887,843,614,302,481,622,376,776,985,666,093,387,
072,004,194,382,544,911,280,139,006,014,609,548,802,991,640,222,763,243,740,
017,957,705,886,277,317,830,252,582,963,086,357,342,615,364,663,470,880,951,
666,630,117,995,814,864,332,280,887,216,981,566,453,296,475,316,347,238,762,
970,144,102,377,410,383,834,089,745,074,443,936,006,186,273,215,144,288,164,
681,238,820,132,253,322,713,057,176,705,889,890,367,750,403,931,431,753,147,
514,072,757,167,158,677,019,165,832,801,147,097,152,989,427,184,674,890,944,
034,485,660,602,954,441,748,008,216,855,646,046,964,107,905,422,666,947,909,
067,261,366,431,246,340,000,617,037,554,538,266,722,972,458,057,684,803,262,
809,953,865,526,369,660,656,479,898,889,123,691,051,987,878,083,031,835,022,
420,732,921,477,832,072,522,396,670,634,612,985,902,730,985,067,173,981,306,
857,274,852,104,027,342,252,774,814,562,250,247,258,987,174,023,488,718,080,
742,091,515,179,179,142,823,605,762,235,870,195,477,479,211,313,933,101,637,
901,549,490,914,865,123,284,930,310,418,273,743,160,602,782,427,073,189,687,
994,852,224,951,379,824,962,774,444,543,352,985,111,300,287,906,957,425,127,
017,079,509,672,833,164,238,580,990,136,333,014,373,786,158,937,997,730,056,
183,323,561,066,165,924,048,802,800,099,748,903,727,236,506,003,077,973,765,
069,071,076,077,139,543,504,071,814,936,742,131,568,226,316,128,637,590,787,
208,390,244,715,774,827,483,129,386,900,966,966,289,273,182,714,065,829,635,
645,855,499,901,125,693,706,564,987,320,837,257,480,938,491,220,477,037,595,
203,903,172,018,751,033,040,902,005,598,801,674,573,252,565,846,629,857,382,
968,177,448,666,981,136,212,632,743,689,523,605,432,489,318,310,237,630,851,
476,017,723,028,584,011,836,631,391,337,863,158,812,946,037,482,635,031,296,
242,642,478,265,840,316,442,740,858,372,615,426,878,478,788,073,163,215,038,
039,375,243,848,457,645,587,467,055,434,422,958,490,686,474,394,999,581,841,
331,874,492,768,976,430,043,084,879,189,691,155,660,120,901,589,384,273,384,
776,611,513,427,471,570,464,814,672,841,551,719,116,350,776,110,837,497,405,
903,593,992,751,974,819,472,839,227,176,606,092,862,970,973,906,216,432,155,
064,895,661,379,115,472,707,257,145,677,102,668,340,935,732,852,287,306,126,
424,387,335,697,944,615,954,083,348,669,692,209,002,317,379,763,356,586,454,
812,762,380,392,997,436,937,349,186,302,657,503,906,962,930,735,657,650,646,
354,785,168,582,404,315,689,842,601,270,163,710,715,392,263,019,899,513,348,
981,523,374,257,644,773,225,331,951,669,175,501,696,967,112,795,065,283,468,
018,854,858,488,973,405,032,938,503,999,254,339,605,361,621,772,026,080,927,
323,057,218,672,251,667,291,683,748,268,196,474,391,617,885,846,476,162,561,
017,924,684,832,105,699,430,304,756,208,722,441,019,035,553,911,270,561,320,
015,089,799,948,428,204,101,261,765,497,194,155,185,623,886,371,416,011,406,
029,985,500,830,354,620,316,147,611,926,454,054,272,180,397,117,699,775,328,
217,749,339,925,250,665,376,140,169,155,438,233,331,756,139,806,114,914,809,
645,789,636,504,567,627,973,936,131,502,279,893,593,956,784,296,344,867,417,
931,577,082,108,564,427,921,356,406,726,553,834,261,543,646,930,014,443,513,
390,507,376,154,427,628,863,450,900,472,757,431,262,823,058,468,064,888,089,
609,185,742,798,404,656,332,569,820,643,039,195,842,374,715,369,702,803,803,
905,893,854,021,205,323,327,210,102,819,855,608,129,297,843,244,318,568,970,
033,843,435,477,530,302,354,428,241,675,858,239,612,452,932,317,163,142,993,
351,621,490,831,749,867,349,784,746,528,258,618,596,622,988,800,552,064,053,
239,632,510,467,885,946,341,146,474,108,911,860,987,469,158,851,572,602,347,
815,578,125,623,215,222,971,147,257,600,689,695,245,951,745,771,941,806,472,
372,133,557,791,797,789,313,965,605,867,336,673,767,621,741,934,932,832,016,
021,723,958,134,523,791,124,942,267,965,583,383,940,425,819,708,824,267,955,
383,198,101,134,100,478,015,914,728,723,846,769,205,151,144,019,692,521,995,
907,133,417,709,400,890,842,556,218,642,686,096,171,843,742,488,601,511,845,
579,764,220,617,873,739,473,203,223,984,324,786,054,278,666,610,223,633,997,
106,989,304,174,979,810,331,750,133,601,310,129,397,944,602,013,938,078,491,
671,831,561,919,448,789,987,507,391,488,894,790,770,092,885,828,128,175,441,
107,189,074,084,716,068,617,226,097,590,774,433,295,998,793,900,650,390,226,
528,741,107,786,656,234,369,181,732,269,810,270,745,462,250,021,929,872,642,
195,763,622,512,511,537,510,220,160,588,453,627,605,711,288,146,192,675,159,
649,804,008,289,597,789,741,993,271,574,768,323,941,687,224,869,216,333,551,
265,621,953,818,278,955,558,848,078,150,547,948,063,965,000,233,663,937,227,
900,874,153,187,013,194,820,608,957,303,554,708,798,850,522,033,415,984,563,
790,857,968,459,347,905,078,303,094,552,872,582,894,635,043,980,217,559,184,
289,348,362,681,660,227,046,021,963,702,410,847,848,398,650,710,098,332,448,
672,516,370,017,750,003,672,794,569,108,384,241,270,500,141,344,695,209,417,
752,172,254,942,977,058,727,838,288,144,853,645,690,591,310,007,073,266,100,
820,958,746,336,099,732,934,356,819,923,471,285,698,136,360,224,142,506,835,
556,186,121,697,143,927,379,233,858,218,311,752,810,828,078,681,743,587,363,
456,944,502,021,852,740,211,420,915,827,666,183,469,858,056,166,608,483,428,
645,914,081,595,602,045,186,406,593,229,973,985,891,816,857,816,110,713,855,
672,481,816,075,220,687,031,240,393,573,971,611,333,390,831,733,072,376,260,
280,782,589,206,551,582,522,753,757,646,544,119,451,482,823,081,267,983,324,
374,044,146,910,318,944,410,848,692,279,304,988,295,005,469,898,317,317,834,
050,579,298,449,662,691,656,920,526,243,141,781,350,384,761,569,878,116,877,
112,377,481,421,884,668,944,637,158,366,111,391,684,638,476,607,238,144,160,
113,674,264,423,226,838,242,619,209,765,322,897,359,716,063,961,831,705,796,
205,202,601,654,926,264,430,422,168,339,605,287,948,209,649,984,268,189,735,
066,211,699,867,054,863,753,694,264,348,093,286,268,953,883,285,140,098,103,
718,675,509,460,963,120,951,748,987,190,118,434,938,168,628,142,512,833,124,
221,792,949,053,540,726,962,246,404,273,204,051,228,302,506,026,839,451,044,
844,372,863,389,645,694,859,036,890,588,976,478,875,924,648,077,080,909,625,
939,547,744,119,702,147,967,710,609,228,826,621,054,809,838,500,063,334,389,
282,051,924,402,999,248,554,432,009,668,590,784,290,322,754,510,233,207,774,
826,059,181,610,194,365,620,280,071,209,344,187,352,364,275,538,685,327,746,
654,243,209,995,357,635,681,684,505,159,273,347,700,760,522,947,258,155,611,
143,240,968,231,290,697,190,387,417,839,370,082,382,870,072,276,628,719,529,
417,752,370,904,399,042,626,357,653,594,751,136,212,125,647,563,544,925,968,
706,988,288,072,010,337,879,741,555,554,077,834,570,680,644,505,672,568,993,
695,942,521,606,751,601,966,434,957,219,959,548,270,178,759,770,400,035,937,
642,145,535,625,694,085,737,366,815,238,616,967,582,968,220,964,110,872,215,
928,137,292,417,415,543,578,845,402,296,893,016,111,287,300,088,395,594,394,
233,309,766,837,358,632,610,124,917,709,684,053,309,639,703,184,528,122,378,
640,821,953,376,920,470,705,563,608,332,724,668,458,782,931,491,254,832,384,
074,370,018,721,418,869,725,317,362,509,369,713,350,970,390,867,495,526,224,
199,614,447,991,074,738,361,108,936,014,890,285,337,864,239,050,728,263,361,
649,954,721,001,309,836,266,580,080,237,488,508,587,788,323,400,480,637,287,
020,385,877,795,763,703,533,044,611,739,664,135,797,834,971,834,277,814,400,
760,170,378,563,742,602,658,474,926,624,263,940,354,290,577,627,570,703,478,
591,412,471,833,641,807,944,317,974,461,179,263,845,078,402,529,215,001,519,
606,637,513,228,642,021,974,405,377,161,654,972,567,200,125,222,944,855,065,
518,693,105,294,411,782,090,028,607,705,599,848,506,349,284,655,383,852,616,
003,977,270,541,624,379,312,634,816,834,034,522,895,202,069,789,059,627,767,
844,812,551,355,785,867,538,854,097,421,298,246,274,481,189,621,556,443,082,
778,705,514,038,697,475,820,329,216,017,409,363,910,703,499,264,267,745,570,
412,794,161,940,026,957,012,084,049,009,314,100,538,305,476,350,034,300,246,
091,712,869,566,669,809,894,581,695,148,751,866,043,714,645,264,656,566,909,
655,690,757,479,352,686,042,450,887,089,584,034,322,650,123,753,105,751,946,
789,371,388,735,932,941,007,346,499,054,447,736,160,759,211,847,867,878,051,
032,520,145,937,650,453,132,445,781,933,484,372,892,141,306,256,565,477,838,
953,956,538,875,445,721,914,271,803,321,046,144,570,739,132,196,990,639,277,
890,636,585,209,792,130,625,569,289,668,080,260,486,252,696,857,500,800,084,
983,537,214,282,801,321,322,992,798,753,860,812,528,459,092,016,846,226,145,
141,081,157,333,453,709,410,607,227,064,039,663,056,538,027,613,164,528,212,
254,050,298,344,443,661,996,271,621,059,275,209,411,516,320,135,916,695,280,
960,648,106,271,100,561,562,586,571,477,016,923,897,644,565,990,495,754,417,
858,242,105,897,185,992,687,389,066,916,679,840,423,428,929,757,220,642,765,
892,129,397,128,679,820,561,032,867,337,780,301,368,836,618,843,680,078,774,
769,619,235,766,862,202,286,502,978,160,748,042,185,588,483,815,849,920,967,
094,342,090,701,740,698,675,704,110,320,579,165,821,816,812,438,270,013,498,
590,137,728,605,310,524,692,562,834,123,299,872,908,496,068,901,338,758,222,
685,952,813,592,963,582,183,180,963,201,104,260,450,377,922,318,790,905,312,
218,442,121,059,651,066,597,344,232,016,304,112,590,692,909,379,189,691,634,
055,295,065,929,569,565,021,781,699,060,988,767,068,733,459,563,525,321,096,
893,957,224,289,985,845,804,376,040,441,933,415,680,413,052,418,985,718,950,
089,461,286,641,840,762,253,438,176,393,399,545,659,540,979,319,854,917,819,
729,784,423,539,729,519,829,165,315,529,049,643,802,844,081,653,540,391,110,
776,347,365,673,953,235,371,891,161,762,548,508,833,570,503,104,321,250,786,
769,535,161,919,179,084,317,801,478,087,932,017,397,647,720,888,345,919,739,
289,022,593,422,173,351,724,869,903,547,241,648,206,267,020,835,782,041,625,
511,880,329,928,777,726,393,185,920,772,830,275,407,601,294,078,308,730,580,
596,389,024,769,482,455,862,214,015,841,676,505,774,130,313,692,301,273,506,
398,538,043,134,915,414,042,336,636,756,762,063,672,689,196,670,540,751,020,
218,186,044,519,663,381,700,597,905,915,051,261,198,655,368,646,879,481,547,
018,775,690,799,307,085,191,913,224,271,718,640,691,320,970,167,420,853,540,
741,347,035,627,936,428,828,415,671,879,255,272,306,562,550,384,720,391,984,
558,876,026,836,385,634,031,137,060,540,431,939,123,886,945,625,169,261,495,
805,815,593,935,446,370,476,472,294,155,944,315,587,616,506,766,776,080,150,
686,969,391,510,688,185,619,853,226,911,669,326,218,420,988,519,096,829,564,
981,938,128,933,293,728,652,112,242,998,603,731,499,693,156,175,290,072,683,
317,027,664,347,232,592,654,525,719,454,448,738,618,267,700,496,336,212,863,
604,050,290,305,188,529,836,633,385,615,799,526,011,715,778,719,987,306,641,
244,272,685,349,485,175,980,097,946,210,769,952,896,772,081,855,628,164,087,
439,058,195,417,124,085,070,716,510,176,637,278,618,715,326,581,791,156,072,
484,897,537,866,072,943,643,975,539,711,206,977,817,871,754,665,125,605,196,
711,377,004,547,021,895,210,642,223,382,886,650,039,915,730,440,975,064,797,
270,885,657,799,603,715,873,261,136,142,945,483,986,368,006,106,265,695,600,
905,923,265,457,679,196,595,972,006,971,672,031,549,694,670,157,304,314,471,
077,100,715,266,653,709,016,601,674,135,290,925,099,119,993,602,239,466,915,
321,677,726,997,207,933,554,100,996,277,494,565,415,584,397,629,096,947,493,
346,549,127,865,437,377,891,036,970,274,902,068,330,123,606,578,926,759,144,
021,290,485,345,938,311,247,660,181,976,946,479,653,852,717,519,719,804,560,
435,864,875,253,457,134,597,146,518,961,979,992,703,965,665,984,872,485,619,
230,212,634,798,782,644,907,900,028,725,091,492,660,254,455,649,604,290,556,
242,583,233,324,702,303,629,979,873,625,246,650,802,868,333,486,889,595,384,
167,401,794,037,124,883,679,871,359,968,519,928,243,619,879,735,106,801,253,
480,266,318,641,752,707,938,397,717,035,832,875,525,227,531,269,479,501,161,
978,026,293,329,090,536,365,370,226,721,459,340,488,326,484,145,618,452,671,
422,123,896,466,908,885,829,758,154,574,746,366,700,471,353,742,296,545,791,
233,416,853,303,456,246,056,035,916,870,992,099,786,876,377,700,942,857,340,
620,133,142,905,575,043,963,868,348,645,722,086,379,831,774,270,800,799,778,
241,487,364,728,154,631,848,461,415,403,493,315,001,483,374,031,577,155,843,
517,763,833,489,281,990,515,778,506,762,835,377,777,760,000,416,720,987,289,
364,900,547,022,614,259,757,561,945,379,488,400,748,350,917,363,300,076,375,
944,263,309,197,409,707,151,668,617,241,583,345,535,021,142,958,805,017,157,
199,246,846,554,217,096,346,409,340,523,237,465,852,198,750,206,171,247,216,
153,841,624,040,315,518,184,273,654,585,108,066,407,845,549,037,144,315,818,
718,462,980,244,654,945,198,292,177,245,729,334,083,889,116,816,898,319,967,
109,697,993,255,438,248,047,653,653,573,835,771,094,271,510,077,599,060,006,
560,450,463,040,211,459,039,301,568,592,522,031,825,251,499,165,522,477,831,
803,194,294,503,244,557,991,058,121,228,436,474,566,049,745,188,896,855,875,
839,425,752,627,333,488,263,682,651,880,677,633,088,177,836,462,353,408,334,
134,085,539,272,447,228,275,778,588,828,603,485,135,115,400,393,474,788,426,
107,200,196,082,852,686,725,891,578,510,526,594,478,387,663,003,888,271,137,
132,798,336,690,727,241,703,226,648,254,551,674,879,059,106,779,228,351,381,
623,922,142,672,694,010,557,050,033,705,357,430,020,001,403,704,558,199,911,
684,435,446,050,493,199,024,983,847,111,870,177,422,812,755,061,016,806,964,
193,328,972,165,140,375,147,873,328,737,722,201,326,467,801,694,136,174,562,
090,651,677,457,848,378,706,744,626,861,911,416,917,667,683,829,960,034,625,
479,039,290,757,609,393,514,803,708,956,018,771,192,031,295,056,102,311,594,
682,853,503,821,165,118,881,559,728,655,627,723,991,008,302,987,647,461,818,
482,235,151,780,552,224,246,577,496,821,634,800,257,612,537,374,541,923,037,
168,906,213,099,398,988,599,395,609,351,693,323,532,314,156,353,069,109,795,
986,927,986,796,905,829,160,892,088,066,866,059,558,270,811,830,013,223,283,
152,591,721,578,056,316,604,029,846,647,259,196,967,660,978,079,229,519,646,
134,150,057,049,663,297,337,424,945,384,695,604,737,128,081,527,203,572,278,
844,397,289,976,171,363,653,928,124,489,960,057,249,463,495,844,011,598,226,
916,302,843,545,585,354,367,049,516,573,560,463,401,633,952,130,215,985,446,
903,186,082,676,887,812,995,015,027,969,828,068,683,404,914,431,719,497,464,
470,275,280,906,290,380,855,820,768,924,222,883,269,529,217,185,823,486,072,
536,716,601,873,876,520,551,208,675,432,674,505,652,654,085,490,052,559,568,
168,121,457,577,205,325,256,260,224,373,948,935,148,810,482,368,948,047,272,
953,440,384,510,225,295,936,876,887,455,616,357,251,837,976,309,072,310,058,
148,579,625,445,865,005,883,062,224,567,033,400,826,230,220,652,060,948,848,
133,810,934,775,612,882,328,101,188,259,419,668,472,233,046,903,155,139,060,
202,343,278,594,723,278,340,494,745,421,760,583,457,621,824,151,720,232,363,
411,820,199,766,403,015,645,027,761,801,818,693,626,897,218,750,183,955,978,
111,131,359,648,566,741,383,578,802,308,538,993,519,206,382,584,754,330,300,
662,879,514,286,058,503,073,565,295,081,214,926,056,603,280,549,649,694,575,
957,904,722,422,119,025,482,412,583,238,997,430,877,054,514,254,028,344,295,
191,194,997,074,058,644,629,487,199,029,468,581,711,319,153,844,468,104,840,
011,244,649,728,428,452,857,070,320,070,920,435,232,138,368,767,855,465,577,
157,148,436,408,829,638,537,959,155,936,224,293,260,761,797,694,733,665,504,
276,695,126,989,234,633,821,553,364,957,610,433,433,455,477,331,874,142,439,
137,462,970,805,254,486,539,976,830,081,456,678,829,078,488,922,806,290,365,
378,739,093,036,980,478,584,291,466,171,714,123,699,981,660,139,361,015,285,
518,978,965,459,967,388,717,192,712,248,526,319,627,944,299,174,302,127,075,
952,850,750,935,428,051,096,724,654,998,135,110,480,877,049,913,473,980,665,
532,531,069,864,020,012,035,084,717,090,287,914,157,910,553,830,665,518,965,
749,798,744,061,851,595,542,366,380,826,149,014,946,512,949,986,377,571,549,
841,320,631,039,303,626,948,001,647,125,351,082,831,295,959,120,371,730,739,
505,134,617,243,610,147,944,040,362,564,961,649,870,436,092,999,683,166,345,
978,785,807,411,278,185,935,469,385,634,716,320,937,473,639,707,990,903,193,
533,976,489,686,480,606,776,396,077,352,150,846,865,856,179,308,911,369,161,
119,703,394,750,904,097,578,155,938,689,753,965,026,111,854,215,472,392,090,
347,393,866,866,094,171,995,666,221,611,560,729,718,048,257,185,992,706,139,
276,645,960,551,484,737,824,777,129,298,999,327,778,827,497,515,514,473,036,
962,463,439,338,101,088,652,877,667,161,641,427,032,695,417,618,144,016,509,
428,813,064,664,161,569,118,189,009,381,974,683,676,291,142,790,589,362,450,
383,038,570,249,072,625,436,903,719,533,646,163,939,141,316,387,478,456,887,
956,730,875,670,754,863,785,062,869,702,667,751,174,179,715,465,660,564,359,
649,241,600,845,334,820,218,846,726,804,851,066,186,435,887,807,667,903,714,
209,406,938,525,007,798,309,481,342,190,140,628,062,485,151,154,065,749,734,
449,809,453,817,985,897,649,395,184,514,999,772,451,752,496,255,004,465,991,
197,210,477,404,930,101,790,350,937,600,410,637,540,075,648,557,004,243,424,
005,225,792,085,531,707,634,752,363,477,554,192,959,797,841,842,634,863,573,
665,485,948,456,552,799,890,839,147,185,445,124,267,572,178,356,625,661,313,
120,251,480,015,630,959,724,041,153,364,635,217,948,800,816,125,102,581,655,
632,587,045,463,459,783,323,481,912,980,091,608,809,811,096,302,879,967,336,
723,586,934,145,871,382,486,570,556,734,740,482,344,746,344,717,681,617,660,
969,347,307,821,937,304,970,653,518,958,765,863,290,889,047,542,396,439,516,
565,818,701,214,348,923,269,274,366,941,248,820,452,644,535,901,129,758,276,
563,637,129,968,126,256,951,015,813,108,579,658,536,818,333,802,672,206,249,
803,700,940,392,524,614,717,079,281,604,906,388,053,893,230,019,407,540,925,
390,017,515,765,836,403,680,247,524,812,152,546,571,615,230,148,154,926,036,
922,203,283,640,818,498,287,052,008,801,674,812,386,939,035,419,511,442,621,
794,552,945,633,833,264,049,128,245,980,154,378,857,649,606,936,160,301,965,
473,198,308,887,895,987,695,967,164,900,331,330,406,007,084,158,677,386,778,
975,239,730,725,225,555,966,941,248,025,867,755,770,154,006,212,665,315,586,
596,833,682,218,785,465,750,827,162,333,893,286,469,371,032,200,376,289,390,
651,622,688,218,757,827,361,856,707,530,794,604,056,565,970,134,703,675,294,
160,651,593,191,198,816,232,779,434,645,567,471,343,684,102,767,289,575,662,
277,520,565,646,531,621,078,481,280,861,952,018,468,776,469,788,538,939,440,
604,673,366,884,389,393,844,578,753,475,226,160,796,362,840,451,597,760,662,
403,755,505,728,027,909,037,775,909,884,324,967,498,538,947,600,650,007,994,
786,056,072,365,149,054,189,985,985,585,150,339,983,229,736,691,739,023,669,
908,371,699,044,253,509,591,234,996,597,727,724,723,342,369,225,825,882,316,
252,281,782,570,636,131,833,100,093,811,476,403,718,128,274,628,867,329,343,
091,853,676,794,288,925,167,379,516,863,438,528,882,796,822,498,623,400,143,
057,083,580,392,842,709,706,498,807,260,190,929,318,320,531,927,273,036,357,
173,597,204,624,063,133,642,630,801,021,907,217,584,248,411,799,870,261,124,
542,563,331,222,469,615,817,583,045,340,404,045,319,679,457,721,780,814,959,
025,218,145,434,441,473,855,666,860,391,032,311,328,797,945,007,528,266,059,
152,810,957,633,034,533,496,684,435,603,777,063,188,740,132,458,739,114,053,
163,255,703,765,307,293,518,943,924,912,055,560,304,599,925,344,225,478,168,
036,619,725,034,374,939,491,260,508,942,776,719,785,258,463,639,545,905,576,
417,110,235,046,494,928,670,182,518,117,929,207,717,383,665,547,731,007,574,
351,026,854,336,752,696,291,895,028,745,259,461,507,527,369,850,383,725,381,
319,006,842,789,991,498,762,691,173,605,020,961,209,395,155,747,171,164,269,
789,795,280,407,850,616,720,916,739,186,111,906,133,534,983,355,391,674,453,
295,675,344,240,060,242,114,107,406,431,788,468,924,970,804,603,873,470,650,
904,756,341,732,363,472,294,952,722,354,857,409,062,709,197,506,259,430,821,
100,539,271,371,584,767,008,716,258,699,831,046,825,900,836,066,991,883,728,
603,926,505,652,956,983,731,881,701,503,578,172,757,040,964,801,872,685,399,
879,522,021,589,457,307,629,161,275,343,007,092,907,658,222,500,173,340,432,
650,411,867,875,534,289,521,907,006,060,025,102,644,241,785,495,945,261,643,
466,900,993,354,308,411,924,200,750,217,451,318,043,490,413,162,446,319,300,
649,723,424,629,409,077,952,304,760,780,317,461,990,115,847,565,105,127,912,
282,502,532,770,991,883,731,258,421,137,263,166,276,122,499,207,115,416,769,
111,305,923,717,213,145,671,959,367,455,308,940,065,673,001,796,554,457,599,
573,917,684,999,473,251,321,528,274,472,558,574,695,292,442,173,242,142,432,
825,414,957,186,007,074,666,629,923,088,719,157,193,356,677,022,675,157,821,
212,519,055,897,274,710,135,231,801,271,270,039,334,406,060,955,680,027,518,
972,085,048,336,312,555,083,699,263,547,642,527,970,474,637,041,588,787,567,
069,970,350,885,490,896,388,004,938,277,323,899,613,154,487,938,103,336,498,
926,888,319,456,591,288,758,482,611,909,599,694,138,689,833,927,761,897,915,
114,194,031,985,020,663,445,155,656,847,875,968,535,287,793,926,317,586,310,
747,655,332,888,786,659,298,336,988,260,744,214,148,048,571,778,395,299,184,
675,609,152,197,795,441,627,974,488,187,737,601,624,458,962,403,330,960,180,
943,449,507,835,970,449,865,390,615,283,763,617,577,879,322,304,219,127,036,
709,238,028,008,582,666,306,435,343,931,638,582,110,662,615,690,383,671,907,
733,711,290,660,409,162,252,021,328,929,856,050,558,149,765,293,459,728,820,
477,200,089,154,271,748,459,999,194,827,213,420,821,936,096,534,694,939,308,
724,904,202,778,995,168,825,924,981,153,858,200,479,845,404,605,302,822,916,
612,827,745,866,674,660,431,503,188,546,222,514,610,570,368,362,823,690,323,
574,580,235,444,062,231,813,455,300,038,885,129,586,270,974,713,304,885,789,
145,802,948,363,406,386,958,393,500,962,267,400,965,295,479,877,613,007,449,
326,614,539,943,920,252,454,261,978,650,064,476,868,950,689,590,967,784,468,
766,607,944,442,065,953,957,776,718,915,290,802,489,896,456,501,406,881,683,
659,711,326,202,233,863,974,469,675,198,207,829,103,908,218,842,870,636,764,
473,491,606,971,913,430,371,374,967,308,442,660,506,753,378,262,162,936,167,
318,179,518,772,692,538,160,862,502,258,550,888,191,965,802,411,668,668,562,
143,491,323,430,561,054,246,187,778,420,041,001,922,421,411,546,862,541,050,
592,653,022,848,944,224,620,707,373,620,367,121,457,103,024,140,421,956,690,
757,112,323,372,394,056,402,856,781,759,009,807,583,118,142,334,602,507,584,
512,994,886,078,847,903,914,313,396,679,232,216,561,703,380,310,003,904,171,
045,579,855,778,778,954,193,628,834,530,739,075,079,384,707,422,227,140,322,
438,616,894,498,740,000,691,271,602,098,467,381,995,925,354,859,461,103,742,
711,893,958,242,976,425,499,076,518,068,724,839,527,631,860,717,132,168,061,
250,914,546,917,566,284,572,639,486,583,207,978,567,313,886,951,979,194,086,
765,620,321,382,170,547,420,164,508,647,532,241,599,888,017,151,471,369,277,
927,018,029,615,468,520,441,728,663,565,208,595,616,493,317,122,359,604,832,
626,836,824,896,038,051,963,980,538,790,991,640,687,591,331,878,298,428,530,
477,419,102,700,712,010,375,450,970,193,436,989,946,875,700,203,691,482,861,
347,770,330,582,332,726,713,475,967,853,308,180,758,907,625,019,021,782,802,
888,604,247,759,028,315,716,486,814,276,508,519,769,833,694,370,718,057,490,
457,019,351,517,506,820,162,921,214,195,053,352,792,410,785,688,604,569,558,
027,060,999,645,799,644,298,129,113,804,572,868,215,442,580,190,194,567,376,
346,656,662,909,253,675,844,229,831,091,822,347,462,964,431,978,357,426,636,
832,706,260,231,988,151,332,172,610,536,768,678,345,838,398,634,487,817,467,
517,569,556,624,653,835,318,062,459,381,598,491,405,121,511,195,431,908,984,
375,747,320,259,742,705,311,309,005,587,115,108,097,110,289,172,928,993,446,
918,562,105,489,101,024,764,360,789,010,536,410,404,756,890,112,974,956,344,
765,877,233,512,455,867,744,371,915,167,665,743,809,434,341,473,078,425,855,
792,131,285,053,419,388,334,531,572,722,146,360,215,207,260,027,960,900,649,
255,117,320,496,691,201,378,189,597,412,476,364,386,315,325,202,062,788,423,
408,200,916,678,695,123,190,634,206,419,667,877,395,830,186,785,581,910,911,
612,631,569,839,596,538,969,660,663,382,059,648,096,021,340,494,044,169,090,
159,568,835,287,601,205,597,351,853,399,356,685,219,902,807,535,989,122,152,
000,471,147,654,176,431,788,704,654,465,339,980,204,171,194,390,741,010,832,
546,674,241,198,988,263,046,360,514,854,164,535,587,777,040,123,981,585,211,
482,581,063,956,313,142,154,838,488,406,748,951,554,147,072,495,126,470,340,
197,963,589,633,830,212,402,979,081,751,982,222,543,520,826,601,918,419,909,
805,352,331,617,297,781,986,546,514,695,658,401,834,742,322,861,164,972,382,
988,962,722,774,591,340,229,132,461,363,449,204,828,079,176,015,983,782,400,
558,802,897,455,956,077,547,557,731,505,398,453,055,006,222,819,622,579,994,
277,891,487,024,620,053,453,899,643,754,118,587,639,396,251,223,837,400,512,
553,209,644,646,166,070,551,986,361,320,385,546,472,876,760,432,464,909,401,
957,005,266,069,211,172,745,749,966,501,219,947,399,391,821,901,898,810,602,
765,976,052,239,413,985,769,854,766,149,464,094,711,022,041,433,011,485,174,
061,928,728,639,473,654,642,938,887,361,622,646,377,468,805,587,961,267,448,
894,171,194,539,909,618,303,029,639,848,279,531,369,621,069,154,562,280,553,
263,340,081,180,802,076,479,384,590,622,767,916,528,577,828,762,050,336,781,
958,905,077,178,445,182,162,303,776,932,489,287,608,475,890,762,798,682,931,
998,037,144,003,695,539,779,331,202,100,530,850,654,561,620,089,827,872,923,
851,391,639,674,851,952,726,787,029,608,044,884,249,581,881,243,585,520,043,
808,804,652,397,466,860,108,779,859,476,337,538,164,286,874,704,109,452,755,
980,911,728,184,298,191,672,540,181,691,938,687,211,216,279,846,609,856,951,
530,195,910,975,119,449,124,842,122,886,450,403,438,241,293,121,662,259,295,
036,836,904,364,562,521,580,999,083,224,986,150,291,737,049,147,379,664,564,
981,838,747,792,470,493,992,771,264,298,015,151,822,589,443,454,294,196,338,
198,110,189,162,788,963,879,909,834,642,321,793,835,225,197,958,466,313,030,
945,428,239,451,220,470,269,171,839,950,691,776,819,779,564,636,857,175,933,
205,959,689,264,719,429,611,188,779,339,455,443,002,445,092,346,051,464,121,
004,241,508,483,685,008,164,320,074,167,654,116,003,562,578,621,398,717,719,
426,925,363,315,736,930,688,218,707,132,363,959,767,874,832,507,409,974,043,
214,454,418,077,256,616,005,739,115,115,901,814,446,051,320,165,672,237,822,
358,708,214,060,192,478,486,662,807,484,722,426,038,598,199,742,190,553,567,
242,407,161,085,404,701,866,826,730,876,187,936,346,453,207,051,889,835,277,
854,706,499,033,512,109,051,576,664,067,894,075,986,579,248,794,489,919,076,
561,777,606,076,042,437,616,473,146,955,533,263,416,991,068,958,146,709,721,
073,244,324,217,011,497,874,622,547,330,994,844,790,161,000,256,658,344,690,
041,920,989,292,985,359,614,247,305,175,742,961,995,422,871,961,306,679,796,
451,860,848,186,368,379,572,478,560,619,723,537,163,395,805,821,610,568,472,
345,036,848,673,477,142,256,355,803,923,998,629,876,099,192,690,246,176,691,
417,917,215,818,637,588,336,933,060,634,433,226,805,129,913,198,095,061,167,
083,957,121,919,938,824,797,554,164,763,364,289,125,810,531,870,140,202,857,
357,143,446,544,648,102,665,002,744,975,002,641,658,363,454,032,528,510,419,
592,794,381,399,080,874,514,712,556,485,432,576,794,308,926,004,546,225,021,
289,220,720,494,923,726,380,542,009,104,404,795,533,103,476,786,803,955,040,
448,336,156,097,430,461,807,901,379,908,201,264,522,269,653,336,729,911,865,
700,886,507,341,152,818,033,429,426,218,533,988,576,797,680,080,264,333,907,
829,909,654,655,481,661,846,314,206,738,828,924,883,647,287,273,825,756,485,
081,374,335,203,855,382,556,405,796,477,064,298,217,366,265,073,850,615,972,
793,555,445,008,209,806,385,623,005,874,976,426,714,807,576,482,936,847,754,
521,526,488,595,528,194,592,454,389,992,212,983,018,793,522,257,542,028,383,
431,844,780,643,257,444,394,927,009,746,094,824,938,340,628,845,425,593,675,
158,414,434,878,021,304,571,296,259,582,067,872,949,772,124,980,635,088,772,
629,732,554,405,594,470,038,557,205,575,611,628,819,972,817,306,645,009,270,
098,574,926,261,175,437,451,021,078,313,915,266,167,884,149,131,495,331,547,
889,403,284,425,020,830,955,383,974,882,346,884,572,473,683,237,303,123,717,
296,579,506,107,985,215,878,805,443,319,689,677,548,038,251,571,117,424,588,
270,228,796,659,641,861,863,228,231,159,617,248,600,837,901,614,361,901,186,
351,357,083,240,762,488,267,440,964,320,735,280,148,017,627,147,972,460,943,
519,407,524,923,651,514,383,909,657,867,121,678,754,770,437,387,002,861,173,
674,301,989,936,007,292,836,538,027,701,894,982,114,027,225,234,314,515,925,
489,923,960,059,037,792,881,305,385,231,234,448,067,029,368,562,010,150,682,
711,888,196,374,642,949,173,284,595,231,303,128,405,090,877,799,690,078,208,
504,786,640,234,443,823,860,925,064,336,539,251,283,900,934,599,523,524,671,
020,790,451,385,981,467,835,682,187,764,499,735,937,819,116,336,675,461,781,
102,366,951,394,889,198,369,608,839,154,176,622,793,889,535,228,910,814,573,
480,688,753,436,359,526,989,422,384,393,329,620,127,378,141,684,619,622,209,
970,943,894,601,902,633,820,606,577,976,851,302,026,862,683,499,701,590,689,
110,902,387,582,892,186,964,127,606,540,290,200,730,041,196,846,629,962,101,
836,922,327,237,658,682,026,529,316,310,363,209,691,469,624,038,882,331,352,
825,315,591,706,731,347,391,282,789,961,773,298,173,344,770,573,879,405,406,
294,683,792,870,064,998,498,645,699,200,124,920,206,836,721,406,242,370,311,
352,628,711,090,284,752,521,065,848,073,415,558,757,936,485,887,953,773,033,
896,851,201,043,672,471,012,670,428,009,138,763,283,098,040,557,257,339,311,
611,202,895,116,987,952,515,261,470,255,144,962,841,364,153,286,885,914,282,
402,341,946,726,256,821,673,655,565,979,977,581,215,635,360,878,619,048,117,
526,338,362,705,725,761,477,541,573,783,757,548,241,728,858,958,628,611,358,
220,830,148,341,003,020,785,011,688,070,326,836,731,098,456,560,076,491,259,
162,535,613,144,633,937,426,853,333,139,824,026,385,996,092,461,915,757,311,
863,860,520,861,322,074,250,088,161,364,900,015,571,657,219,067,661,756,290,
778,074,486,429,850,606,925,878,677,036,314,578,104,775,915,285,677,283,599,
403,371,984,914,578,956,293,209,243,286,837,913,402,852,075,778,383,674,034,
256,371,050,492,537,717,669,183,343,386,915,686,796,976,628,041,587,793,398,
396,769,793,122,383,374,402,974,134,315,274,612,714,979,605,661,594,901,552,
694,569,303,146,666,024,056,764,042,320,527,997,990,273,862,591,029,349,600,
965,605,634,841,781,093,347,598,244,526,214,666,338,804,032,992,988,232,926,
128,372,920,091,568,780,275,225,922,668,042,841,932,244,265,982,938,970,917,
342,346,763,958,452,273,834,478,915,688,330,935,096,428,903,664,200,835,435,
789,222,540,325,284,670,718,574,117,100,130,746,519,091,919,304,254,063,842,
598,316,784,121,696,917,403,274,270,459,969,666,378,014,541,466,775,579,483,
611,225,596,566,578,010,937,801,197,574,024,876,774,761,231,342,942,740,879,
591,884,609,210,845,037,245,778,050,089,829,583,994,471,169,353,633,557,020,
064,803,363,348,119,299,705,207,104,931,320,353,041,386,038,499,150,468,312,
167,474,800,321,249,863,483,149,492,007,865,706,564,542,980,115,860,011,975,
404,250,698,514,312,857,909,641,993,660,526,971,540,576,591,626,895,358,156,
717,331,532,762,057,609,519,482,739,646,735,728,614,551,888,242,395,153,687,
150,190,736,335,720,335,014,574,539,240,187,594,770,743,230,319,776,833,818,
961,269,053,799,067,544,370,694,800,512,753,729,095,604,799,886,890,662,336,
840,716,328,622,864,646,749,253,304,162,797,720,093,694,142,353,586,634,574,
770,788,342,385,089,907,544,774,543,303,145,324,480,128,806,210,791,677,958,
618,923,934,128,073,071,899,109,258,954,084,366,096,073,397,951,212,807,439,
364,866,835,623,639,192,056,725,018,580,122,804,070,880,533,758,494,231,666,
293,191,623,763,170,823,471,733,149,428,985,507,596,205,498,997,262,086,425,
293,776,779,881,565,841,424,167,143,663,082,599,424,169,911,995,556,864,793,
784,533,731,135,269,133,249,081,263,340,128,684,813,183,732,214,282,400,606,
609,162,033,488,805,720,402,768,771,630,395,583,247,620,223,554,096,054,106,
232,870,126,162,637,966,973,327,186,631,435,818,469,323,591,308,014,542,770,
077,881,520,760,369,971,019,102,744,123,106,422,022,894,419,299,457,639,722,
287,574,159,193,427,747,491,642,680,038,684,588,484,743,639,185,620,400,874,
020,160,372,592,517,576,848,759,426,569,304,566,607,017,192,614,547,760,311,
694,581,504,682,244,298,036,809,398,368,759,204,167,989,856,438,677,822,969,
557,013,824,080,252,423,848,543,388,788,852,573,183,730,308,661,894,092,384,
866,340,637,008,635,541,524,903,798,852,316,120,477,183,329,686,893,050,012,
453,720,730,869,257,450,487,914,367,102,591,233,209,932,990,764,355,033,430,
168,979,672,535,949,897,615,650,429,762,329,921,290,841,284,873,857,023,856,
011,732,243,533,366,412,529,181,615,828,039,970,718,479,464,255,121,380,423,
467,329,606,833,523,957,295,749,494,524,212,631,512,396,734,986,437,624,137,
587,075,619,491,665,878,130,801,896,279,306,173,817,121,392,263,812,433,269,
051,709,514,406,686,065,384,066,834,951,596,068,382,759,138,103,580,322,565,
112,615,144,139,996,944,313,590,600,262,593,561,043,283,062,546,228,864,986,
115,007,613,002,370,664,932,148,375,127,178,154,629,911,893,730,750,019,298,
884,727,984,527,174,766,234,113,326,124,961,361,966,865,408,475,029,029,379,
832,877,151,908,805,630,579,716,027,476,067,602,218,443,618,018,758,194,471,
759,516,325,700,917,008,478,438,567,660,322,946,787,940,199,533,020,926,224,
079,708,441,468,551,803,574,610,484,038,888,374,820,477,238,565,866,359,661,
898,442,607,889,814,896,093,742,961,750,603,484,951,123,581,944,181,908,645,
040,149,805,202,944,885,299,378,479,829,974,403,790,833,460,096,122,604,242,
948,602,350,569,155,283,426,977,244,373,942,064,935,620,791,957,584,640,813,
775,134,210,415,989,621,582,254,917,768,052,112,593,059,465,058,888,160,606,
094,246,893,708,422,297,033,683,126,511,498,281,719,774,338,741,809,678,079,
606,757,285,347,188,353,627,764,611,190,302,851,672,765,931,870,678,423,165,
393,392,166,890,239,117,017,432,637,112,553,930,891,455,537,545,567,089,034,
977,566,367,782,081,117,865,317,811,880,983,457,912,783,710,347,783,438,859,
915,693,815,671,156,367,146,438,891,243,652,836,693,611,765,343,123,815,057,
435,139,324,693,160,019,749,277,448,826,549,271,942,105,092,153,189,994,666,
951,485,984,120,667,758,786,654,984,396,954,935,140,801,113,308,721,666,492,
659,989,906,766,276,606,806,683,580,605,994,356,879,870,446,413,655,152,818,
645,605,319,008,779,677,944,009,339,198,393,927,787,860,414,755,686,151,596,
495,224,844,869,939,556,535,665,675,916,431,539,567,967,166,988,799,554,393,
163,325,063,722,652,861,833,773,121,895,648,911,503,512,835,543,085,767,494,
894,300,073,708,801,529,112,991,031,033,706,237,577,252,953,553,012,808,087,
812,818,223,969,782,113,114,956,667,038,429,143,754,815,044,106,036,549,078,
318,070,055,085,553,382,557,758,239,333,822,125,458,204,304,578,577,103,842,
704,543,806,874,036,186,392,240,876,933,944,782,075,736,116,033,394,786,332,
580,609,664,543,810,230,687,369,245,512,928,095,287,985,784,818,197,530,465,
918,611,136,417,894,578,264,885,004,006,292,309,442,757,512,586,444,049,821,
338,002,576,696,281,806,618,104,459,219,582,744,452,761,700,573,816,848,319,
917,298,719,902,827,940,538,753,198,601,783,750,154,121,520,235,731,605,413,
373,891,962,822,260,170,314,093,885,253,158,239,559,265,259,576,022,795,405,
598,250,625,491,993,834,843,947,293,293,970,634,987,741,822,483,551,182,533,
596,897,038,498,794,793,023,011,768,580,639,838,000,680,275,683,725,149,288,
245,954,438,664,366,835,158,082,609,563,592,993,588,550,465,851,932,486,560,
440,122,630,881,869,049,269,265,941,877,562,223,673,623,107,521,406,441,711,
894,790,339,182,421,911,236,989,783,084,818,181,122,007,862,179,286,782,907,
466,739,604,012,019,723,969,575,055,878,903,719,548,856,570,815,758,490,578,
508,027,652,709,213,882,835,570,371,553,799,765,123,839,133,411,610,179,535,
679,063,122,167,200,368,493,020,574,458,758,533,726,142,557,981,294,203,917,
693,392,962,343,997,605,967,408,165,250,440,426,240,629,767,766,883,699,389,
873,084,633,788,114,464,697,296,118,141,696,304,768,940,780,016,087,658,570,
911,000,782,891,355,963,413,863,503,332,083,534,255,360,988,121,599,874,010,
798,287,976,290,632,937,578,477,991,663,086,524,009,641,006,242,685,924,681,
091,845,148,228,255,789,496,910,731,199,965,057,312,266,428,071,922,739,490,
646,333,949,880,404,702,367,099,804,325,240,787,713,890,286,598,380,939,415,
731,437,854,740,168,162,026,951,841,062,977,986,566,431,503,333,025,404,286,
734,682,744,297,578,409,374,300,574,755,520,932,243,143,646,553,441,675,804,
366,387,599,445,495,479,168,133,529,683,672,350,766,980,622,039,659,270,305,
193,619,312,533,109,735,472,913,208,737,875,073,791,296,989,463,995,223,045,
914,269,055,647,749,869,173,942,653,571,099,442,162,710,446,701,200,633,073,
895,157,930,477,179,449,636,469,946,784,648,166,894,989,028,327,600,978,486,
400,433,211,929,354,760,267,609,821,061,296,946,722,630,353,080,284,082,721,
355,602,179,428,100,167,711,719,932,795,467,142,452,155,018,060,960,122,820,
456,868,975,845,664,512,178,218,185,423,467,769,338,258,878,286,973,890,325,
918,978,931,740,936,147,134,599,288,288,871,408,672,460,427,127,695,579,130,
594,811,443,539,981,395,465,443,663,709,843,114,481,893,011,071,950,282,674,
210,560,709,206,328,790,085,992,386,665,362,619,742,056,783,411,062,997,209,
301,166,085,345,477,629,401,000,126,146,169,125,468,925,224,412,776,486,588,
048,662,600,634,137,523,639,150,223,565,876,692,038,688,341,679,134,832,848,
324,409,096,626,811,294,094,803,557,048,439,837,100,355,070,927,232,722,199,
245,563,533,664,036,432,498,464,168,762,828,700,284,593,424,577,180,113,437,
494,472,002,743,235,712,602,836,614,009,537,265,247,722,133,726,795,330,356,
132,888,648,542,441,269,713,023,351,473,211,471,358,498,868,735,337,279,789,
497,169,537,366,832,050,150,764,767,885,836,902,067,495,056,821,352,494,961,
226,255,170,765,377,405,064,508,961,823,952,193,017,243,182,086,136,012,835,
203,982,589,040,666,173,138,131,565,055,567,843,606,801,409,520,783,337,045,
632,079,645,596,714,821,775,978,404,167,089,120,741,382,157,753,524,264,859,
158,941,505,338,481,971,478,769,014,527,346,880,389,559,679,350,509,202,493,
256,301,213,898,979,909,672,159,767,517,473,881,678,329,205,107,667,456,093,
730,595,755,163,801,884,705,190,914,639,777,167,231,456,490,429,462,625,646,
818,038,785,236,981,935,187,175,769,811,443,017,216,841,751,321,162,027,178,
620,056,084,106,308,336,240,766,888,244,537,596,102,340,912,601,932,877,791,
930,606,165,145,561,620,385,071,116,382,612,590,244,414,814,280,486,203,980,
798,169,217,905,912,437,156,390,141,006,639,299,380,655,540,354,672,355,504,
521,382,747,129,447,768,439,967,292,711,088,420,828,879,112,276,004,579,161,
256,696,464,929,698,298,578,530,150,391,517,122,343,972,955,650,871,763,504,
001,191,346,702,148,309,602,747,913,408,410,802,720,863,742,293,892,173,832,
436,687,282,918,948,307,168,204,784,978,909,027,757,925,160,157,415,890,694,
599,995,380,293,488,490,016,316,788,682,603,210,768,219,240,755,944,902,078,
047,060,302,786,349,854,190,453,087,865,991,754,052,306,156,372,674,155,271,
149,706,628,061,220,385,264,813,882,734,896,103,381,646,728,563,732,685,917,
712,366,982,554,219,187,088,235,610,665,526,372,513,989,586,330,183,104,884,
080,651,897,586,776,792,839,464,547,308,421,246,778,883,631,183,509,342,743,
507,104,836,460,651,239,333,790,637,234,913,556,767,273,898,935,156,403,098,
827,034,471,546,703,428,425,695,983,977,040,873,619,668,008,319,909,385,014,
648,647,220,642,677,386,184,384,297,612,827,630,636,011,491,947,423,969,274,
409,212,167,447,977,024,280,949,255,479,763,967,648,547,205,077,671,786,143,
537,947,658,721,536,604,036,135,521,146,141,133,616,361,363,337,363,665,529,
741,352,888,102,381,723,370,058,078,312,745,671,304,833,435,478,483,092,539,
839,503,682,010,689,659,397,716,080,456,342,347,486,928,505,264,680,628,555,
212,740,010,565,629,631,511,392,951,784,764,664,483,028,476,355,995,230,074,
117,113,327,921,648,431,149,481,472,068,754,599,857,173,594,741,574,924,817,
143,577,150,605,138,462,587,951,360,409,450,525,371,387,041,396,735,620,345,
764,654,807,479,019,987,065,023,641,187,196,482,781,166,107,480,518,275,931,
497,529,812,917,407,788,965,891,361,515,589,442,299,560,994,748,523,018,721,
520,423,841,642,156,539,104,871,519,817,410,691,773,533,086,764,264,162,788,
420,340,291,829,223,988,509,553,853,837,150,941,892,341,289,927,073,711,442,
951,220,506,510,870,594,894,432,734,100,066,635,570,001,618,762,195,034,120,
620,196,433,873,870,779,555,512,677,868,724,931,284,417,261,911,145,510,170,
431,076,772,556,435,543,080,823,016,998,492,338,793,541,654,010,857,242,523,
335,958,193,648,797,911,854,511,196,498,240,520,840,704,466,152,932,011,043,
220,818,493,182,051,465,723,675,915,641,916,848,439,911,907,897,800,889,021,
439,583,779,971,851,020,569,022,378,126,869,036,986,379,451,460,739,796,952,
656,487,958,804,056,458,892,011,897,412,714,922,600,582,658,234,802,502,112,
740,202,710,781,138,725,989,042,852,184,268,288,542,395,137,410,163,173,240,
260,465,100,061,050,686,582,507,674,077,994,352,913,522,945,546,490,305,016,
114,074,476,101,996,328,031,850,174,989,242,139,540,372,465,694,236,094,305,
153,135,354,266,730,364,930,165,161,809,013,193,857,424,169,318,520,679,353,
016,470,173,794,865,994,115,972,892,060,301,961,346,163,190,947,715,947,805,
297,239,416,393,459,794,463,698,885,328,109,192,452,941,865,598,577,729,510,
604,809,973,372,970,563,051,779,409,804,489,481,386,215,074,772,918,371,223,
033,374,747,987,301,305,883,983,009,357,514,794,543,698,996,422,311,656,763,
608,022,340,396,304,144,974,233,545,164,431,338,527,870,752,011,960,449,402,
650,784,350,499,383,770,726,934,091,829,769,587,630,210,169,177,774,314,837,
756,374,369,364,902,213,319,077,695,883,889,103,964,218,114,779,293,494,582,
174,458,077,059,369,572,112,394,469,090,510,355,434,805,641,888,368,318,211,
195,641,298,762,723,865,369,360,877,313,478,760,458,219,564,158,170,346,363,
766,830,384,974,804,205,478,101,133,844,752,982,489,434,974,571,460,602,878,
027,367,087,495,545,720,212,558,795,014,552,717,569,059,279,901,652,031,632,
543,877,891,144,333,395,235,433,900,181,005,799,988,510,807,968,617,191,782,
437,357,450,997,818,307,769,202,211,060,462,777,889,247,783,569,228,238,544,
338,428,295,919,405,196,965,744,007,923,891,427,106,896,028,970,177,884,297,
460,891,190,849,135,940,309,733,744,006,244,977,012,137,263,826,628,255,895,
596,291,093,277,650,990,336,613,716,984,120,703,148,243,942,837,067,612,953,
653,401,285,373,308,851,122,158,250,075,319,219,731,514,585,900,167,650,135,
558,272,822,513,407,169,825,701,410,505,862,131,902,372,835,110,368,105,523,
150,815,870,398,234,211,341,752,600,347,492,753,137,347,857,882,254,129,845,
599,441,114,709,984,032,054,082,858,980,822,506,280,150,752,657,599,672,661,
661,348,557,097,086,952,725,504,538,255,788,699,693,476,526,456,226,593,205,
709,710,299,086,214,434,138,402,517,255,245,264,579,558,617,927,045,465,465,
060,541,857,035,182,697,448,549,033,064,782,773,887,315,328,883,757,294,025,
072,118,996,314,568,722,985,503,668,865,369,099,685,632,980,982,286,204,425,
452,561,910,499,344,495,439,464,503,577,206,136,238,491,281,485,516,297,345,
142,259,306,872,915,426,717,187,981,326,254,928,674,487,540,210,107,142,113,
572,145,599,145,909,444,505,574,743,563,813,370,005,310,508,711,687,442,697,
928,073,403,601,885,334,616,505,035,365,224,448,316,192,062,800,875,458,264,
092,487,438,726,168,036,153,257,575,615,900,579,901,959,063,528,804,602,491,
529,449,998,556,731,509,988,523,555,380,374,545,272,360,850,010,625,586,549,
775,399,838,935,841,410,883,494,228,061,287,679,253,432,159,074,028,920,377,
011,200,385,972,175,760,394,615,144,645,230,799,470,000,083,750,040,945,314,
658,986,738,603,968,482,323,685,264,604,481,710,175,397,692,437,622,741,561,
917,737,234,837,479,291,852,038,974,061,610,017,731,669,701,741,267,101,728,
423,565,846,846,150,114,439,374,873,983,408,014,380,265,775,054,693,331,206,
001,409,068,188,542,372,469,072,750,607,117,471,197,883,478,875,878,224,735,
935,812,259,616,228,212,488,365,212,375,111,046,724,513,354,675,984,729,767,
871,726,108,077,048,111,190,541,569,789,463,344,075,707,630,415,263,076,057,
908,401,151,992,443,044,302,167,738,769,799,581,532,025,798,904,065,223,449,
331,822,315,576,451,340,566,733,897,715,131,390,769,052,459,613,772,827,378,
288,532,845,614,446,149,692,610,127,037,994,417,226,536,785,500,424,180,795,
393,959,730,166,805,403,229,814,247,426,383,585,088,150,736,024,963,237,274,
579,070,102,457,317,030,403,367,917,463,948,196,477,074,192,542,466,398,464,
735,630,067,078,388,421,188,483,704,064,109,053,658,238,997,625,279,566,296,
226,210,584,006,533,364,336,203,159,187,161,172,477,637,973,050,488,182,549,
588,850,517,020,258,306,070,276,655,558,774,567,937,259,771,741,313,100,067,
049,304,037,983,348,922,902,030,534,385,079,204,388,003,392,955,624,527,373,
996,458,567,652,770,841,559,913,353,175,758,571,463,032,589,814,143,807,598,
041,714,210,553,636,230,040,697,084,056,767,809,214,483,158,461,168,004,434,
234,362,736,708,252,009,363,340,450,503,911,222,075,253,279,370,672,291,140,
029,335,478,948,199,823,361,476,077,965,900,602,220,986,545,185,147,329,672,
363,819,724,906,878,298,574,848,348,069,535,760,770,540,632,244,050,624,077,
184,105,278,297,915,443,244,231,248,461,825,577,437,207,449,396,719,479,809,
873,161,279,563,354,620,203,067,367,067,948,496,433,711,453,277,855,150,841,
661,915,722,228,008,047,179,561,707,620,286,248,759,390,526,358,462,305,430,
868,920,095,527,968,745,706,615,651,529,374,448,582,034,167,247,987,263,958,
921,749,606,441,871,752,939,517,742,870,449,762,793,348,884,469,987,969,190,
230,420,568,348,191,917,970,642,523,249,816,704,168,181,747,464,922,358,495,
901,963,194,482,414,475,660,309,993,883,474,727,636,392,140,935,519,805,408,
255,222,413,161,684,752,289,001,769,765,988,646,114,048,506,990,013,554,513,
720,995,069,184,153,227,911,955,433,070,015,012,002,460,675,888,560,436,358,
168,912,115,667,640,324,813,009,943,882,793,151,275,766,168,028,862,627,210,
419,596,928,240,652,979,280,381,284,501,926,769,662,155,377,491,242,885,073,
742,790,670,402,175,603,167,160,614,617,454,115,961,919,262,673,913,497,890,
900,863,278,425,281,479,738,057,922,011,302,940,912,613,156,215,318,530,784,
897,021,028,808,269,467,059,295,431,820,931,882,731,500,370,972,522,924,780,
139,486,892,219,828,855,619,123,022,408,972,886,448,513,136,928,974,203,622,
573,628,957,650,236,306,826,424,405,704,481,591,077,220,435,110,086,056,027,
637,350,963,611,730,683,734,044,644,699,000,919,656,371,533,780,233,098,235,
659,162,881,555,683,480,016,575,934,318,207,495,990,712,659,797,456,868,600,
984,202,784,369,090,631,800,837,020,018,737,088,755,739,670,149,985,811,964,
527,311,995,346,287,844,225,392,427,720,089,340,312,036,727,437,292,715,118,
392,958,486,957,666,434,729,609,265,099,270,895,824,286,100,106,225,819,519,
159,449,152,914,240,756,022,900,421,869,399,849,111,255,012,150,235,047,648,
033,122,697,307,080,465,930,212,498,236,421,116,436,482,535,346,164,683,857,
173,806,697,277,890,404,770,103,425,110,186,593,777,235,172,897,917,020,343,
180,962,085,181,387,033,592,406,046,412,063,684,183,444,217,594,601,956,323,
083,520,681,191,233,185,077,116,514,627,121,734,320,355,692,276,355,720,549,
334,309,814,721,699,537,250,890,058,552,025,901,972,020,394,704,422,495,961,
724,614,354,499,045,207,192,774,617,394,233,596,580,943,007,639,670,881,932,
153,865,493,635,827,184,415,108,229,530,948,001,462,814,138,532,381,121,662,
422,158,609,456,888,298,937,307,175,816,756,829,637,531,558,714,367,179,512,
585,236,229,247,834,845,114,540,316,736,733,887,988,933,463,499,510,639,205,
476,235,701,893,168,289,935,924,757,389,811,453,407,134,583,870,483,203,415,
762,903,332,280,656,506,085,758,587,310,765,220,146,459,667,400,689,361,052,
908,041,898,084,928,160,576,637,967,913,960,627,003,646,004,053,477,953,827,
448,054,234,410,488,381,888,088,332,948,168,639,192,246,075,859,619,694,790,
355,873,752,413,482,036,601,196,219,064,587,479,582,637,171,310,006,550,713,
170,424,004,788,091,249,350,346,784,951,132,803,452,509,494,681,440,937,165,
714,996,335,950,594,096,694,083,610,078,873,158,824,038,261,122,128,498,274,
893,726,940,760,865,310,786,328,355,372,735,949,750,214,526,288,927,508,357,
782,645,762,491,139,513,659,993,471,235,246,170,318,923,255,906,535,430,426,
620,099,243,334,005,592,128,609,542,268,035,362,564,382,968,426,461,714,402,
740,958,348,374,297,532,453,416,618,269,068,150,016,113,988,494,820,378,015,
743,381,119,271,153,276,844,719,030,662,345,744,817,706,632,753,341,094,287,
182,754,908,088,916,907,518,735,422,130,974,288,571,319,001,330,995,803,847,
767,371,654,222,066,359,477,649,772,031,351,362,904,175,348,362,656,627,572,
603,107,457,437,842,647,760,407,092,097,457,955,770,124,208,376,189,007,729,
904,475,527,556,178,095,360,139,689,512,362,411,288,776,094,227,774,101,376,
044,913,513,242,244,866,763,162,761,262,007,683,860,703,142,584,909,381,907,
416,183,901,951,557,618,444,376,698,898,672,509,451,268,794,262,281,154,607,
065,495,224,843,332,640,800,936,538,817,410,569,527,582,137,788,901,810,815,
967,269,609,704,928,220,942,365,800,026,127,320,676,876,841,207,529,420,235,
708,382,643,315,572,777,066,421,737,580,675,102,145,992,783,097,443,662,638,
033,879,633,558,061,719,364,468,830,718,796,046,110,954,832,961,635,866,721,
614,717,597,399,677,463,166,550,218,136,432,711,852,264,762,901,284,304,919,
920,685,234,081,092,620,626,288,868,993,837,334,676,275,785,230,721,702,121,
966,020,869,602,154,662,647,111,187,330,065,215,371,888,354,708,676,360,267,
366,053,948,321,065,947,672,848,169,465,864,034,662,250,289,834,543,347,104,
085,567,230,578,071,217,670,583,684,523,677,137,467,893,996,271,519,784,511,
880,923,475,960,110,846,792,984,486,533,368,632,296,965,118,787,557,617,349,
226,312,202,724,766,310,588,958,728,417,746,740,545,575,449,385,312,485,912,
524,700,643,579,245,134,621,558,726,154,471,272,086,263,899,044,740,459,526,
483,809,158,564,232,649,862,879,683,473,509,023,173,597,708,819,239,366,584,
629,496,940,437,366,907,789,564,856,487,424,544,422,537,480,944,541,160,523,
812,144,909,499,294,279,554,331,129,170,447,149,625,765,749,072,923,232,143,
825,176,734,142,107,475,553,152,274,168,831,167,439,304,126,402,826,895,756,
532,927,651,054,584,190,116,826,153,290,246,500,535,472,554,608,566,235,824,
416,989,393,097,442,528,869,173,289,498,271,107,018,603,451,674,408,236,217,
066,797,816,646,805,982,232,987,131,641,084,213,386,833,711,672,850,500,851,
714,595,159,180,954,927,073,348,330,418,414,621,378,566,858,973,972,869,249,
682,582,566,476,891,009,291,638,245,074,992,071,746,798,381,529,478,023,339,
896,463,546,573,202,710,670,000,197,018,588,880,442,504,082,378,412,136,475,
801,718,545,316,247,741,178,043,507,134,672,012,780,697,775,583,255,781,102,
272,987,799,432,025,102,491,761,705,176,464,822,151,775,880,695,977,729,842,
824,573,481,838,742,374,489,430,540,963,231,301,162,100,059,695,341,841,802,
465,424,880,538,295,551,712,796,496,531,891,122,444,594,301,874,976,188,749,
287,615,012,560,111,329,091,229,751,002,960,288,758,713,818,866,394,696,646,
130,966,459,321,726,061,378,164,508,716,446,895,354,449,651,946,724,428,793,
802,820,147,154,003,176,762,918,057,472,739,512,642,750,302,286,276,459,736,
977,799,132,404,730,496,579,231,741,956,129,213,055,968,693,031,197,165,440,
088,737,935,946,221,997,482,867,150,707,923,826,571,803,861,962,828,785,043,
572,769,877,729,221,058,570,165,158,718,412,508,856,746,120,922,610,802,893,
607,453,284,556,110,677,067,665,583,090,942,070,174,311,677,845,953,305,171,
980,033,777,283,604,155,345,540,588,745,394,064,794,269,529,971,271,964,346,
259,721,010,741,734,881,256,396,006,347,072,651,704,026,106,851,418,831,056,
362,991,008,912,654,561,640,958,143,841,670,479,840,881,759,921,985,544,792,
304,416,987,570,598,977,271,373,333,560,535,792,073,678,439,642,991,373,246,
103,156,906,236,435,403,348,854,706,067,124,485,815,216,149,976,788,430,835,
586,098,813,203,978,459,815,848,544,013,865,996,922,305,528,334,680,128,167,
229,573,242,170,079,500,224,836,987,100,167,204,119,409,759,140,588,244,163,
703,975,781,398,344,181,346,781,966,618,756,724,563,747,555,354,673,817,889,
076,474,043,496,475,791,266,092,823,335,021,761,360,726,339,173,207,840,569,
503,259,415,816,167,555,288,300,429,781,164,369,755,877,600,161,180,068,378,
687,758,091,357,805,719,296,079,367,180,007,478,042,577,421,550,127,445,588,
798,165,774,098,819,753,412,060,193,151,715,827,282,714,707,182,632,372,472,
608,183,275,406,192,239,103,423,149,970,123,315,876,494,180,460,947,162,264,
927,140,777,691,212,654,009,562,871,434,593,657,378,208,963,242,612,230,341,
770,953,898,844,205,432,412,107,219,190,685,417,004,754,681,593,178,457,867,
846,149,559,166,001,833,974,296,252,561,403,813,521,560,471,474,145,996,036,
964,180,595,583,947,351,304,646,057,067,037,361,320,370,904,931,108,337,761,
833,928,143,408,208,900,943,485,160,731,153,843,808,055,629,928,251,795,292,
454,134,210,688,595,577,379,311,413,071,969,685,687,970,910,692,892,129,045,
604,142,380,894,840,988,307,927,056,050,462,271,961,892,997,968,952,011,933,
142,084,432,695,826,022,034,912,460,147,196,804,586,285,089,769,552,212,391,
971,381,897,501,667,732,023,193,036,500,476,328,176,986,890,197,134,076,084,
211,929,639,914,394,228,770,115,434,353,245,210,175,452,156,491,594,944,136,
333,965,876,351,243,835,401,360,035,099,770,909,346,531,852,709,337,844,617,
105,175,401,817,341,608,343,881,787,018,356,859,431,784,950,535,580,686,878,
171,652,023,367,162,376,803,038,116,266,960,043,376,424,107,636,696,965,266,
776,936,664,768,226,856,304,156,025,156,622,144,160,747,114,136,013,366,546,
542,897,696,255,439,238,504,113,411,989,086,126,198,317,266,984,157,572,486,
414,945,355,086,906,940,012,174,470,940,534,093,889,783,456,592,781,593,403,
375,664,496,914,148,226,005,271,287,590,548,836,688,449,528,623,598,157,099,
011,438,116,174,569,545,326,158,527,427,185,602,984,492,076,339,188,635,373,
534,976,958,737,124,117,779,924,460,325,294,499,351,671,330,365,183,484,595,
355,825,116,425,405,479,475,124,541,587,708,329,074,675,461,212,305,076,996,
542,498,616,345,227,473,327,589,608,629,251,782,606,730,523,877,789,630,654,
624,737,278,940,698,298,137,161,915,937,426,459,876,103,008,252,903,774,013,
775,095,099,041,935,691,954,890,878,706,939,872,044,988,923,685,273,363,529,
504,934,224,253,135,116,489,934,349,519,309,659,490,774,873,615,801,826,123,
458,999,153,450,436,364,486,496,911,954,023,938,650,175,221,090,822,139,130,
718,915,754,487,156,405,703,955,756,216,300,287,377,988,694,966,749,711,437,
585,737,404,987,413,722,746,416,579,056,583,439,849,820,134,569,233,162,402,
622,008,392,913,115,504,614,745,495,729,749,587,085,301,981,008,528,881,608,
230,172,980,973,098,433,902,368,935,130,447,997,252,319,468,540,202,657,100,
922,800,544,577,735,997,398,740,447,180,552,099,980,560,928,422,398,473,739,
522,635,840,937,086,981,953,445,402,641,657,456,314,377,027,361,337,534,354,
535,616,919,037,212,977,423,546,964,995,099,356,810,718,369,231,136,993,925,
968,265,576,972,107,451,607,102,915,127,839,028,978,665,861,849,220,437,559,
998,666,098,706,135,193,775,050,969,971,470,332,469,963,339,990,153,160,123,
169,080,943,204,742,421,509,577,765,422,546,191,886,770,490,463,124,075,237,
644,598,823,687,844,054,773,351,073,324,511,653,726,843,561,773,559,407,889,
173,520,274,507,497,941,925,730,390,778,111,092,458,346,599,562,124,715,376,
305,223,114,158,085,650,065,998,799,732,013,273,903,494,305,489,287,033,840,
176,627,366,981,605,591,294,597,666,637,497,388,064,893,919,784,099,048,446,
821,003,234,519,756,997,588,417,647,579,676,244,887,449,212,822,467,288,579,
093,113,439,117,732,260,173,382,789,211,260,227,823,754,946,281,544,051,314,
952,142,213,459,553,796,253,691,034,076,529,649,261,275,480,548,842,347,411,
479,366,785,497,351,542,280,935,633,539,256,849,082,303,576,049,132,329,455,
249,511,211,644,581,882,485,176,139,823,761,376,981,469,477,595,264,488,167,
343,940,323,757,696,291,909,915,130,706,303,470,778,482,052,215,086,437,819,
375,146,829,768,647,618,065,158,711,991,531,773,032,102,798,683,264,605,339,
925,279,300,830,271,170,430,381,769,713,621,125,310,202,303,247,208,976,641,
429,285,177,340,912,280,260,215,737,641,466,994,023,957,646,626,722,789,777,
544,217,178,873,706,226,493,568,257,536,472,270,626,511,954,387,598,739,686,
891,384,922,780,508,616,403,231,921,449,312,494,063,008,592,678,595,661,734,
899,170,758,561,434,648,427,242,129,807,066,476,986,630,161,775,177,301,881,
774,903,695,526,628,689,276,105,152,062,529,425,997,922,654,938,881,010,223,
729,347,437,963,042,530,062,440,974,358,950,251,881,153,417,242,413,584,318,
820,997,482,446,394,285,710,708,038,437,034,308,050,295,078,824,615,521,573,
266,363,112,474,965,041,097,090,145,635,743,791,964,980,326,517,623,661,850,
695,703,515,153,011,424,683,658,854,720,481,611,034,218,227,940,720,135,982,
311,619,408,278,849,367,471,880,407,226,582,303,184,894,115,495,933,425,717,
022,931,921,411,483,792,648,019,595,694,847,935,539,500,307,346,143,604,153,
442,534,221,148,442,815,161,212,618,119,671,770,943,115,012,670,449,870,113,
836,766,153,912,932,557,829,327,869,014,360,040,894,057,352,793,750,250,188,
790,260,924,346,138,993,152,864,681,244,813,785,713,796,402,876,792,762,937,
685,982,063,091,457,318,500,736,785,130,153,519,616,031,555,128,520,241,974,
298,819,250,690,728,648,497,181,179,691,692,335,446,484,307,794,224,819,457,
981,148,271,541,174,121,634,925,534,926,166,600,012,055,529,355,969,796,042,
439,186,584,007,091,629,058,619,229,759,607,869,014,201,871,358,380,692,390,
999,185,095,102,853,628,032,233,110,858,144,592,711,658,971,859,932,093,484,
698,612,645,421,251,004,315,148,456,351,180,907,075,510,078,118,919,813,299,
879,915,351,981,672,652,528,321,093,350,081,153,227,346,674,396,115,269,771,
592,379,105,338,272,975,371,890,426,044,037,444,773,548,750,060,127,870,889,
108,250,651,477,001,548,194,271,654,176,453,344,265,193,424,073,992,531,394,
421,073,933,385,241,930,518,801,415,234,759,293,653,312,943,305,191,735,021,
656,129,507,865,599,114,233,803,211,323,614,182,752,272,836,254,671,580,070,
363,466,108,231,901,716,817,847,984,452,176,934,486,609,944,139,839,524,668,
063,505,829,479,345,653,668,948,216,481,573,390,179,427,496,373,855,808,901,
320,601,157,694,631,387,588,041,633,397,298,248,350,669,911,222,647,023,017,
887,219,287,769,703,328,120,274,672,985,288,258,635,809,133,000,168,123,631,
183,651,483,127,609,015,643,748,563,578,275,080,263,753,440,000,067,382,581,
092,783,037,317,967,854,820,921,198,537,659,644,245,528,053,583,148,514,092,
536,261,763,618,895,020,429,344,255,323,676,050,743,739,222,223,927,818,886,
313,887,876,179,501,910,075,608,993,851,081,420,176,861,136,752,151,200,131,
215,525,529,994,611,764,566,031,989,752,667,787,144,228,374,149,582,800,412,
249,416,991,812,001,811,160,407,519,861,328,084,996,651,897,531,237,102,054,
001,765,267,149,396,679,703,391,237,008,583,867,576,794,886,226,941,476,382,
851,398,360,674,537,883,675,251,999,837,380,610,534,386,721,464,651,150,788,
137,052,297,299,063,431,849,054,562,608,793,226,813,281,534,943,384,892,037,
946,460,517,750,901,514,398,667,612,420,747,039,907,038,679,793,829,041,928,
749,429,020,057,660,295,630,289,112,163,183,698,457,996,250,418,854,109,573,
403,526,731,590,389,047,135,350,555,451,297,245,144,047,828,299,440,408,502,
876,784,116,600,408,673,504,898,472,692,429,391,787,344,685,328,997,480,546,
473,272,959,431,380,559,264,751,107,840,221,090,187,840,439,371,179,024,862,
712,586,808,406,853,359,411,376,915,235,015,468,139,838,692,076,358,797,104,
574,797,866,396,440,502,374,715,419,622,086,552,686,232,935,485,486,120,248,
914,986,579,193,247,542,772,929,933,514,898,257,338,962,888,612,915,708,717,
511,238,508,379,763,466,542,450,685,746,596,265,955,873,886,551,282,466,889,
288,930,189,824,438,987,796,829,426,814,104,487,510,056,796,337,745,454,390,
744,192,398,078,297,961,619,143,026,075,315,566,726,272,745,342,955,446,707,
799,886,123,806,742,669,894,823,938,878,583,547,992,385,700,960,116,837,486,
340,603,211,777,260,327,539,474,350,520,868,697,336,292,168,212,658,761,084,
512,728,558,267,244,915,440,874,498,997,071,426,910,235,438,189,782,523,452,
110,855,899,996,055,566,547,018,535,217,894,627,428,502,108,960,611,992,260,
635,745,186,223,516,828,892,402,454,745,434,210,452,126,244,774,976,771,635,
415,137,361,021,789,863,719,808,379,015,867,120,659,178,241,729,411,812,694,
055,887,775,986,702,873,684,030,710,799,216,116,380,013,030,003,969,206,093,
508,306,924,384,523,891,416,611,019,436,316,433,276,220,297,483,243,260,580,
566,763,257,140,900,535,795,312,559,805,413,065,275,599,584,619,182,036,399,
040,940,095,638,546,728,646,067,108,959,470,933,526,604,125,424,518,578,477,
201,359,592,185,940,100,940,947,638,283,364,453,077,145,538,558,614,865,715,
398,338,804,795,889,939,347,434,765,707,975,295,531,250,949,978,094,510,738,
442,386,140,806,170,765,660,822,524,787,300,028,717,681,867,223,619,186,712,
573,491,786,417,172,123,989,048,947,063,631,571,701,444,932,785,110,152,269,
631,428,973,209,569,423,094,840,587,789,763,565,792,053,128,643,074,860,983,
708,748,659,020,943,201,966,739,857,305,619,338,920,776,483,322,107,354,039,
206,692,477,889,352,468,906,074,868,418,867,465,867,234,562,653,812,799,473,
630,918,812,170,926,098,781,641,958,218,612,515,732,997,380,827,886,725,000,
018,886,296,416,305,441,785,796,591,674,686,484,680,358,078,410,640,389,930,
275,705,148,235,994,243,829,013,290,690,697,262,561,156,993,583,566,585,640,
262,227,430,933,695,885,454,231,356,826,393,608,761,709,235,916,448,022,065,
991,644,243,318,914,131,612,277,761,978,624,294,360,440,592,670,138,964,841,
725,571,716,702,141,697,474,681,981,610,557,525,905,095,665,172,596,351,234,
264,312,022,144,327,408,942,445,958,948,839,622,122,759,681,976,091,721,116,
491,367,725,387,351,437,217,355,451,774,682,293,127,656,547,764,935,359,858,
931,483,906,958,732,838,807,570,023,730,775,498,967,243,150,578,869,858,824,
062,792,533,930,945,306,073,431,372,294,149,178,470,425,482,825,242,557,053,
301,432,533,044,446,631,231,372,444,508,822,352,032,622,275,711,604,306,662,
319,379,744,159,609,224,116,651,224,825,722,612,035,436,556,848,792,968,591,
190,569,640,204,110,596,012,551,344,765,468,837,944,307,823,001,654,505,249,
873,055,491,207,971,707,616,845,474,988,471,066,666,364,921,853,389,039,468,
433,889,406,925,478,051,390,088,492,968,588,800,008,911,500,770,917,344,805,
365,409,772,074,371,043,856,469,639,176,083,971,895,864,036,070,581,414,020,
916,473,717,787,109,966,120,670,718,378,456,973,911,331,423,130,070,860,140,
933,434,575,948,035,733,034,844,467,393,410,072,281,909,116,071,221,643,485,
890,912,296,280,201,299,517,185,718,552,599,079,551,151,870,381,447,726,065,
924,182,295,844,779,071,152,212,945,913,976,245,884,381,158,633,179,119,368,
588,297,276,057,416,690,461,576,040,783,251,815,324,532,271,936,348,211,750,
563,685,261,160,568,562,325,218,986,214,254,330,829,583,811,690,486,682,683,
075,836,311,627,993,181,365,738,634,951,104,754,777,367,453,136,177,009,593,
855,503,182,589,825,377,642,039,187,575,757,563,238,232,352,380,508,360,656,
968,870,914,232,554,180,274,541,853,902,275,995,057,806,493,708,030,827,883,
909,860,337,514,921,853,814,778,270,160,762,831,462,134,957,553,084,740,834,
872,522,052,992,325,435,908,484,212,597,761,116,702,819,033,024,060,417,493,
607,427,581,733,130,152,538,995,930,534,941,410,427,605,608,942,506,529,472,
192,387,586,995,485,094,275,814,718,089,059,386,500,415,667,641,321,588,595,
374,916,118,206,129,097,070,500,269,432,399,110,588,015,883,868,977,171,007,
237,604,569,978,478,472,032,283,546,733,730,575,920,808,624,768,311,935,003,
135,251,623,951,514,363,052,443,132,993,883,186,462,011,378,723,981,839,890,
045,697,089,396,958,751,014,651,649,990,527,768,634,874,150,676,200,615,674,
900,659,005,108,305,537,174,018,456,553,139,563,771,042,969,787,852,063,778,
556,624,721,273,663,253,369,477,274,327,555,236,502,379,538,484,941,978,454,
113,721,771,866,919,038,500,301,454,183,844,687,707,824,607,702,543,446,170,
905,658,047,973,959,388,019,267,164,085,488,197,296,722,433,416,328,330,219,
929,772,480,797,755,232,939,380,170,335,767,882,832,342,161,044,467,615,479,
406,371,773,449,785,834,268,089,284,997,081,955,594,270,208,570,571,677,580,
075,725,108,899,031,354,888,529,114,659,251,208,564,665,072,903,085,431,330,
013,355,657,515,029,375,617,997,530,254,517,206,622,880,946,438,239,993,656,
325,782,635,418,983,490,613,341,201,383,340,652,529,598,330,636,623,738,868,
872,150,162,731,241,507,263,079,584,141,627,913,436,237,809,181,203,401,289,
910,262,686,051,530,728,018,427,764,735,562,900,702,352,452,220,303,545,412,
202,471,583,165,312,969,371,485,445,666,004,599,918,555,931,449,497,040,822,
727,255,676,440,765,844,769,340,510,689,854,058,346,077,809,918,522,200,234,
867,989,223,590,084,187,104,131,450,475,001,815,741,525,862,941,241,884,266,
201,829,781,965,610,283,943,749,005,573,699,245,430,994,085,249,396,384,114,
290,780,433,985,555,236,132,835,614,150,476,908,412,371,016,887,258,853,577,
208,338,429,897,825,406,224,073,571,668,709,662,682,225,704,232,788,978,297,
320,746,749,563,930,731,797,127,302,034,838,435,978,011,629,043,917,809,576,
831,245,185,026,380,927,091,002,144,920,162,607,430,419,909,649,397,813,955,
434,668,080,719,072,202,317,910,116,752,079,054,874,241,426,745,761,367,016,
109,026,912,248,869,737,568,249,273,619,431,733,529,795,389,972,960,826,640,
252,864,381,622,817,559,449,768,004,479,185,264,711,115,707,101,952,242,269,
493,140,729,982,418,080,154,833,314,643,920,654,660,368,515,316,193,432,062,
827,844,507,452,793,520,613,862,133,698,910,084,267,391,815,595,319,709,762,
411,158,556,287,807,526,334,803,611,033,103,437,289,427,671,289,083,701,114,
013,338,817,356,725,233,112,957,065,626,551,617,344,086,493,135,483,429,870,
671,751,114,416,721,362,320,211,124,582,779,578,837,042,022,941,760,634,530,
559,692,989,731,316,730,874,258,740,882,129,762,389,322,060,338,034,489,519,
590,562,068,602,420,829,585,038,273,083,177,537,721,474,900,560,569,507,128,
659,221,458,866,604,705,372,580,159,399,644,900,344,796,654,778,975,985,117,
763,159,381,808,227,677,293,600,617,090,111,744,397,340,178,332,859,580,834,
268,924,222,155,744,297,147,523,922,180,846,029,022,209,373,543,137,634,144,
211,957,959,101,002,363,788,923,671,732,810,326,326,472,061,729,480,185,785,
845,509,021,076,921,268,860,896,228,214,524,020,590,687,298,613,760,405,539,
252,414,037,535,841,354,745,806,284,489,282,554,972,794,777,434,831,639,179,
293,544,925,275,498,778,097,629,342,010,696,102,624,032,717,428,028,215,834,
312,609,906,955,915,180,989,042,749,813,254,636,231,937,637,065,100,331,133,
090,049,448,175,137,822,714,555,492,966,084,471,971,110,019,258,717,211,562,
371,975,054,806,279,007,629,521,565,789,254,954,542,697,924,357,838,937,408,
858,647,726,549,891,107,473,445,706,487,641,359,070,107,614,577,514,185,435,
587,604,522,883,002,859,691,452,331,041,077,756,672,832,869,644,307,388,206,
137,617,497,566,794,066,620,695,836,416,583,187,090,287,310,506,020,303,948,
047,064,267,910,402,290,509,506,852,529,909,198,380,885,023,307,820,473,702,
575,024,628,516,902,525,686,098,615,261,711,499,269,758,079,291,368,427,383,
587,636,185,625,987,443,793,767,614,959,832,026,322,406,582,120,860,063,590,
478,271,104,287,998,868,795,577,191,457,311,912,905,882,877,415,728,988,508,
549,664,077,509,767,289,836,568,866,372,212,348,843,754,904,637,149,003,271,
974,922,534,346,421,520,570,397,975,486,520,201,977,002,386,087,420,025,382,
669,602,061,388,105,294,367,992,656,905,430,254,237,030,087,358,695,509,576,
865,561,846,897,150,424,220,073,952,970,062,544,251,886,376,183,754,209,087,
353,979,190,391,335,960,155,327,964,723,498,297,542,915,629,690,593,866,578,
523,874,023,369,004,278,766,145,193,967,434,307,034,368,564,192,045,317,839,
505,867,407,070,645,723,538,297,638,405,165,331,479,619,789,847,433,635,699,
915,578,837,717,509,171,597,058,146,794,993,769,050,570,526,492,044,500,325,
636,549,420,908,092,344,535,348,554,932,929,135,860,889,490,876,812,515,474,
419,795,278,582,704,336,609,091,221,327,868,311,867,362,366,529,921,110,211,
451,529,460,159,850,306,578,959,854,445,833,452,627,105,802,336,756,569,316,
322,694,951,058,785,499,956,160,980,221,189,557,440,932,832,959,894,080,768,
855,264,923,719,904,028,554,620,496,346,560,465,342,726,754,697,896,788,286,
834,034,264,991,850,648,761,409,893,867,188,111,467,421,819,847,536,024,772,
596,104,642,575,601,187,583,316,378,667,975,888,585,267,712,245,818,972,049,
939,489,834,635,598,868,234,822,790,082,486,178,435,974,598,209,421,697,022,
553,790,046,333,450,107,174,788,628,899,845,661,144,692,115,426,769,870,458,
797,587,873,749,700,559,583,641,948,870,499,497,293,945,044,792,488,621,846,
076,605,312,487,967,364,674,743,449,685,340,068,177,510,348,015,768,972,598,
459,223,543,552,786,945,936,653,225,742,443,481,113,669,719,080,380,978,116,
220,696,189,641,731,790,182,907,082,545,478,190,718,949,054,920,716,541,908,
300,922,790,831,556,716,639,532,670,815,529,497,442,376,048,581,496,469,922,
278,640,983,558,409,027,865,086,667,320,478,244,334,727,368,739,669,085,628,
657,398,747,938,548,446,131,305,526,640,171,992,733,154,466,419,547,517,092,
103,634,044,850,102,060,801,384,674,098,243,496,305,095,156,598,176,722,573,
357,065,561,886,871,937,357,925,049,737,797,848,029,701,192,201,363,818,621,
402,153,276,050,141,401,695,343,104,821,986,727,183,492,095,365,750,280,375,
449,948,255,661,486,460,554,912,852,435,525,257,616,594,023,100,412,261,294,
571,707,738,177,544,697,227,102,042,020,653,416,607,191,414,867,961,912,496,
676,167,105,955,850,826,594,541,490,105,070,563,737,830,801,688,853,506,603,
247,637,075,227,272,348,629,535,705,442,174,669,168,231,676,824,455,945,944,
943,026,270,179,442,864,337,349,429,470,048,867,757,440,690,264,417,540,103,
623,320,441,282,559,233,545,889,911,984,770,479,257,940,019,526,260,441,862,
430,532,878,509,125,976,074,890,863,967,092,237,234,818,370,472,222,257,214,
521,944,499,484,680,106,878,815,207,320,211,189,795,681,376,659,557,494,442,
356,434,196,235,937,868,978,723,690,580,501,661,844,549,856,369,188,659,068,
770,171,199,872,105,656,764,050,305,034,021,002,942,069,206,311,839,296,047,
099,693,381,295,007,538,405,076,886,158,742,864,762,820,660,182,403,161,760,
948,058,580,932,985,928,584,572,962,932,207,090,756,547,667,860,362,132,622,
938,591,490,154,933,226,038,802,198,943,650,817,052,020,079,116,092,622,486,
793,770,497,902,688,524,315,370,507,179,281,793,295,695,177,954,017,254,538,
596,351,116,820,286,853,733,019,418,468,020,303,326,638,056,964,964,101,721,
728,237,834,027,295,428,047,316,747,258,348,327,364,124,668,074,227,334,032,
276,040,952,154,712,203,103,532,765,541,624,837,127,857,154,983,541,113,883,
956,658,943,575,946,768,086,810,261,563,154,049,468,553,494,596,516,246,158,
627,434,359,195,483,082,477,514,146,058,375,106,336,645,009,952,658,619,613,
715,108,134,371,527,739,081,774,652,094,753,576,343,124,735,039,327,087,869,
041,376,353,403,378,088,848,247,602,137,431,946,806,330,634,986,434,227,351,
576,967,898,252,183,516,688,685,885,015,275,543,001,351,225,364,808,905,232,
393,972,705,962,951,094,207,466,572,439,627,993,252,776,056,541,737,172,348,
286,102,680,351,170,355,944,051,953,589,104,438,337,394,682,866,418,360,933,
876,575,399,206,264,439,073,022,641,509,237,797,770,350,633,456,304,755,979,
375,031,628,466,142,884,608,357,695,984,848,722,677,038,601,621,872,114,073,
285,252,270,970,390,061,515,094,058,101,005,682,033,832,075,517,638,290,316,
507,623,193,115,622,170,080,121,022,100,610,449,016,705,101,779,767,502,203,
380,440,156,425,674,245,022,135,855,911,345,296,906,427,820,662,023,222,080,
283,045,518,505,317,834,568,878,643,799,980,493,981,984,541,253,842,849,800,
447,138,496,965,895,381,681,236,512,873,216,127,103,279,162,443,690,182,664,
920,920,446,681,103,763,625,563,087,110,110,560,903,023,308,313,101,137,492,
584,161,734,358,850,029,978,585,540,648,112,952,397,933,903,006,784,796,871,
687,999,848,088,945,147,866,041,987,136,337,305,561,607,745,356,680,776,420,
799,357,585,189,148,046,778,238,026,406,569,154,123,255,257,141,196,800,419,
455,135,468,604,594,709,458,832,651,443,225,114,166,732,643,929,826,912,444,
322,999,596,047,841,202,567,452,853,969,832,917,079,283,776,864,327,796,815,
802,789,875,097,747,782,611,910,220,925,687,783,366,338,143,566,149,058,892,
161,566,237,635,636,492,505,662,635,107,638,443,297,802,331,000,964,408,902,
395,801,545,382,909,892,684,058,807,920,116,119,507,155,974,626,811,743,999,
414,026,484,333,030,262,906,151,702,052,630,007,522,608,404,386,376,870,511,
724,356,296,708,915,417,093,769,609,570,894,158,861,761,434,913,677,442,715,
527,256,112,798,473,541,501,510,430,347,042,185,804,196,918,888,512,181,314,
294,916,317,065,288,819,897,936,640,878,201,930,549,212,230,457,214,212,785,
138,302,147,593,072,776,472,429,109,639,707,413,711,827,346,053,292,113,409,
774,446,357,541,515,089,654,277,655,765,068,322,743,708,041,307,878,835,900,
786,377,401,697,102,190,242,876,369,283,268,006,701,733,189,750,386,064,497,
557,953,048,299,779,029,207,600,618,231,086,511,957,886,996,074,803,973,730,
276,545,313,488,559,888,757,309,989,489,191,505,749,259,650,088,885,240,489,
017,898,925,580,829,648,604,249,811,308,623,179,197,662,819,870,736,273,117,
800,004,912,287,021,601,884,278,485,630,840,010,729,842,839,218,133,248,585,
413,904,883,728,726,226,917,640,269,982,779,393,303,579,023,986,798,289,080,
798,094,080,839,042,311,638,508,040,571,044,687,784,325,984,383,183,507,733,
091,966,421,693,512,291,446,952,871,049,936,293,511,956,949,070,078,293,377,
398,659,957,759,969,106,619,861,771,583,899,726,412,731,226,613,590,931,653,
108,781,079,398,232,816,471,807,939,063,777,090,571,062,771,128,045,233,628,
015,544,520,783,434,363,296,416,974,072,245,399,916,487,488,663,086,001,772,
132,645,363,754,706,517,832,327,781,627,717,696,455,962,219,950,907,129,270,
789,790,743,710,399,524,917,225,522,902,557,649,760,790,016,229,345,109,162,
334,881,626,208,818,818,063,775,267,265,652,408,069,832,022,849,812,036,111,
409,308,713,590,218,437,375,135,065,754,806,157,528,129,517,604,925,521,586,
231,659,833,070,854,613,937,712,823,310,670,526,053,546,248,785,368,083,350,
244,996,934,865,712,140,249,343,207,950,709,494,039,578,092,974,570,412,102,
893,751,505,921,688,347,726,957,405,145,956,799,087,533,192,649,642,714,094,
277,274,689,009,218,883,479,599,475,516,677,258,957,878,502,087,546,916,176,
558,453,964,919,244,257,084,378,336,337,666,493,990,265,372,074,344,609,691,
198,508,976,991,375,995,076,597,243,558,960,351,847,969,328,161,381,754,384,
146,336,317,126,690,227,369,962,221,835,410,371,645,512,695,696,886,843,298,
359,818,321,551,430,804,166,705,425,315,134,973,193,537,118,488,377,852,758,
798,017,158,400,304,329,371,560,656,842,138,532,161,383,359,207,898,496,572,
288,719,279,973,799,035,060,985,724,534,455,165,381,315,004,058,979,356,707,
423,242,495,917,453,817,491,967,205,060,257,694,061,718,328,424,126,512,827,
829,465,450,140,728,507,522,652,675,390,201,441,894,169,224,205,442,134,890,
605,478,569,920,682,973,807,630,935,737,116,128,808,862,736,036,857,655,634,
805,158,978,749,382,730,379,995,892,091,425,321,598,193,950,298,235,227,254,
417,610,548,135,414,683,481,417,267,915,336,259,944,061,175,590,372,131,388,
823,706,458,623,961,768,741,023,669,365,454,491,959,912,812,925,017,661,989,
854,357,364,507,236,398,161,518,594,936,522,371,888,695,582,095,973,209,569,
873,370,564,225,735,372,605,237,351,869,416,176,242,328,014,517,940,461,578,
728,978,585,856,089,697,451,921,341,088,358,022,281,055,887,218,233,403,199,
123,413,433,635,755,836,113,418,929,455,428,870,884,998,870,767,913,136,549,
294,984,136,730,640,256,843,878,761,822,096,389,349,928,273,525,052,861,037,
956,376,120,891,002,412,628,602,390,751,165,132,650,254,818,091,255,461,986,
449,084,797,750,942,849,635,130,073,880,334,711,116,402,450,462,980,413,228,
817,007,778,373,846,700,414,674,397,320,689,612,552,515,186,868,341,610,823,
640,736,987,560,146,722,239,799,489,279,312,588,405,601,814,416,692,682,331,
971,440,929,504,291,180,445,892,071,687,392,189,514,444,140,262,228,289,574,
433,964,164,636,706,324,200,635,154,354,081,259,434,527,935,117,706,898,142,
969,178,087,948,189,141,409,831,219,347,898,861,053,244,675,272,579,019,820,
824,204,691,071,161,842,683,332,449,618,275,387,793,194,115,877,015,218,897,
079,550,548,172,602,148,401,903,063,010,143,107,594,030,298,620,176,200,971,
840,433,282,853,970,003,519,717,999,063,550,679,649,355,976,530,937,668,477,
787,517,045,617,238,759,228,832,501,811,994,274,348,534,362,560,571,341,767,
137,755,299,619,868,363,834,972,856,198,637,537,898,608,017,226,662,002,862,
572,832,325,383,439,964,509,159,573,276,173,947,109,357,909,157,688,307,467,
056,012,523,085,095,188,014,982,035,798,802,970,390,334,494,046,081,557,811,
702,932,805,213,569,839,297,346,724,808,993,269,970,977,421,931,465,137,497,
736,874,678,605,395,939,451,233,029,553,925,663,287,404,372,941,431,814,367,
710,900,129,206,238,719,253,746,530,264,469,378,606,408,830,845,513,035,944,
549,898,320,141,337,797,587,465,943,613,102,935,327,503,699,253,883,800,076,
251,735,854,724,107,565,029,235,243,189,542,025,227,504,720,068,911,804,505,
600,884,395,761,832,934,963,200,121,445,741,583,723,266,966,266,368,568,062,
116,242,149,021,863,922,424,951,108,191,983,539,785,329,500,526,037,186,246,
437,093,844,172,503,712,924,786,782,405,886,000,774,976,646,862,440,817,979,
681,387,785,887,089,526,300,938,539,847,122,844,540,064,521,837,402,042,777,
470,728,841,580,608,250,520,391,528,997,923,320,341,436,038,799,829,975,345,
527,211,432,227,733,340,178,642,453,701,354,306,341,685,618,820,232,012,279,
812,937,463,667,324,460,283,459,719,678,435,315,338,192,519,390,899,127,078,
184,263,325,744,773,019,113,207,873,641,402,705,828,171,620,916,688,171,965,
361,593,413,103,165,251,163,456,070,428,596,929,168,086,097,657,804,928,733,
707,471,535,134,043,843,438,371,793,761,115,579,355,197,133,684,564,294,643,
144,435,750,547,955,865,218,425,517,100,270,805,232,516,553,288,833,137,089,
264,782,199,251,185,522,592,425,988,460,858,918,497,058,723,961,598,740,541,
997,242,399,263,032,378,315,263,120,028,476,338,101,770,952,333,194,500,859,
377,910,896,585,964,201,542,548,363,768,161,489,225,673,640,677,359,118,372,
615,753,586,705,293,397,932,011,662,440,902,503,127,834,784,471,507,458,376,
069,478,195,972,965,637,546,161,947,295,857,853,119,627,923,423,554,198,677,
298,587,369,680,343,155,565,997,195,828,826,036,682,557,977,467,821,554,069,
372,775,022,343,532,426,746,358,308,327,326,990,140,792,994,255,560,628,769,
966,491,945,116,439,129,173,124,675,068,751,555,973,533,273,823,206,501,312,
007,927,210,689,794,546,648,295,526,914,684,758,966,995,566,795,881,691,136,
633,961,845,176,004,535,841,355,865,392,997,647,915,577,154,096,634,723,630,
414,392,790,798,490,349,674,512,983,577,555,008,133,121,351,828,321,160,919,
743,961,811,039,603,324,434,807,645,658,292,370,763,132,377,120,822,345,641,
007,177,338,794,447,153,636,550,319,595,330,566,637,014,008,009,559,053,252,
605,780,390,235,461,794,770,969,107,176,022,677,707,889,430,798,942,888,598,
938,691,367,761,077,710,857,525,718,216,710,773,542,305,334,113,507,941,010,
560,816,783,308,078,346,874,157,577,800,212,254,366,625,227,496,413,438,179,
019,070,249,479,334,580,468,212,650,660,159,345,925,006,003,898,118,737,109,
646,106,611,510,309,676,062,386,526,280,070,822,705,216,983,953,954,508,695,
288,011,274,691,554,345,829,413,515,840,858,314,580,851,584,332,754,631,491,
130,116,677,980,342,378,638,109,202,095,557,104,402,027,014,567,419,458,586,
735,009,339,375,731,846,920,365,072,903,928,715,735,286,995,830,253,303,481,
349,657,994,285,856,806,749,881,376,905,943,061,341,785,243,732,040,438,414,
624,594,394,178,886,615,974,985,982,672,724,116,363,011,412,328,079,207,187,
617,039,517,904,171,207,086,093,177,541,982,816,253,844,731,759,965,104,177,
467,743,321,838,417,375,267,722,687,486,609,768,756,030,899,960,908,967,742,
829,349,734,458,536,502,827,698,708,964,927,659,757,387,990,763,001,950,876,
071,717,762,721,370,395,669,049,301,720,192,558,929,163,882,530,127,874,117,
026,817,239,414,328,433,217,048,492,448,054,990,329,778,559,099,823,378,741,
745,561,917,231,228,296,654,165,601,645,059,016,466,820,332,692,320,378,238,
129,421,135,328,281,043,928,620,286,294,856,687,837,011,350,635,079,463,191,
619,660,061,170,706,070,255,964,811,782,993,461,223,131,187,984,308,524,038,
030,186,040,734,879,412,810,514,660,332,580,824,457,938,723,531,431,478,902,
496,104,220,813,520,175,253,085,554,392,698,224,481,416,219,863,268,319,540,
042,842,446,393,993,380,931,671,424,685,162,907,009,116,063,993,465,101,842,
813,111,801,759,235,479,413,270,548,193,617,844,285,091,139,772,592,434,597,
716,716,483,872,463,019,407,621,394,059,617,069,824,843,314,161,353,564,807,
642,550,439,468,382,630,416,388,703,972,600,976,350,371,807,816,039,091,881,
875,493,577,486,118,751,669,829,164,957,574,297,179,398,406,566,943,160,849,
775,256,649,154,712,482,430,549,378,856,857,389,485,222,837,464,005,453,866,
869,690,063,427,406,392,412,156,983,401,714,619,000,893,686,651,328,577,209,
342,859,571,502,005,441,633,176,429,604,457,177,702,555,143,723,052,424,938,
154,145,010,584,927,911,152,103,190,067,053,994,998,126,299,338,965,552,224,
414,124,591,074,619,896,883,118,533,775,737,156,150,753,234,958,025,291,317,
148,166,332,087,531,261,101,791,766,425,482,245,928,353,418,976,634,563,229,
846,479,867,018,394,772,989,007,385,627,958,429,580,797,093,673,026,222,699,
511,062,376,946,203,753,562,436,990,630,640,449,879,196,666,824,208,646,513,
933,725,319,359,641,832,442,581,212,370,110,595,746,901,342,803,560,234,260,
908,787,668,579,039,970,869,488,465,858,757,319,287,284,332,530,674,187,039,
576,955,979,857,785,078,885,749,060,966,944,734,177,238,553,806,739,602,315,
679,699,871,341,575,601,420,982,705,363,670,767,964,877,600,606,557,188,415,
472,364,476,448,246,441,043,734,696,300,952,994,037,208,442,425,230,483,715,
349,625,626,449,262,372,731,822,704,118,299,450,375,513,270,226,677,852,358,
789,896,052,849,283,997,410,135,889,606,320,508,414,647,155,667,227,078,719,
689,547,971,213,033,056,117,367,177,484,779,567,298,611,344,934,897,190,441,
076,871,597,351,007,244,590,306,737,873,564,171,885,506,519,673,555,283,055,
928,357,501,014,837,059,264,966,969,010,324,501,978,467,954,819,604,056,629,
582,636,584,349,933,654,085,921,696,442,214,076,879,476,792,016,822,349,980,
159,330,262,984,076,903,342,702,601,021,066,943,412,030,690,630,151,879,585,
670,250,779,176,524,285,927,849,475,493,579,929,917,176,251,462,147,661,693,
628,128,777,077,544,065,379,617,654,978,206,368,268,832,645,973,635,993,340,
334,012,968,039,937,492,391,949,306,977,453,074,663,900,984,110,757,680,503,
464,387,516,498,410,812,032,661,103,386,284,728,114,654,248,986,473,956,797,
793,348,190,243,322,748,328,569,964,705,994,578,695,581,494,308,643,262,824,
927,013,861,491,807,798,539,217,778,684,933,921,316,914,158,800,185,878,779,
838,848,276,661,094,022,519,996,898,548,791,266,371,234,397,872,248,495,507,
450,622,748,812,782,876,830,438,220,806,538,835,313,629,067,527,250,318,338,
111,027,578,506,668,380,963,239,987,694,426,443,676,636,014,445,564,756,151,
032,921,253,769,157,820,976,406,606,223,243,059,616,343,164,235,109,960,925,
602,917,174,532,123,988,498,152,253,443,801,409,663,661,563,581,404,397,104,
259,043,848,504,417,227,892,981,710,273,366,168,192,499,335,210,126,035,964,
608,289,993,138,964,890,700,831,795,490,008,313,393,539,312,323,784,359,132,
561,688,916,181,044,586,148,250,253,593,757,277,463,156,711,550,277,925,687,
264,476,658,663,441,396,530,656,536,673,054,436,358,194,295,741,263,587,543,
906,837,534,361,145,097,210,003,756,093,892,227,988,267,824,671,431,619,018,
943,655,542,688,307,857,425,355,271,332,433,062,845,387,697,658,212,067,573,
443,870,640,319,528,665,242,124,174,943,477,253,203,897,299,491,340,737,466,
758,291,196,779,874,475,491,766,704,205,993,005,017,997,975,015,952,835,555,
672,488,647,925,884,419,889,560,253,418,658,905,409,418,982,574,845,292,114,
664,465,648,415,620,376,729,079,494,706,153,180,405,352,103,440,615,975,445,
377,339,913,871,972,688,034,399,211,516,493,023,980,131,604,139,206,304,514,
758,862,248,870,496,743,072,807,097,136,198,154,550,678,542,947,594,398,909,
974,803,987,599,445,420,697,781,000,872,388,996,955,977,732,882,140,465,693,
949,822,587,021,860,179,971,003,786,293,113,101,447,781,989,377,545,753,496,
554,116,824,603,144,999,813,148,232,172,077,482,181,770,344,159,224,137,522,
255,368,537,375,463,013,352,618,226,014,807,588,913,440,882,586,798,906,842,
968,127,052,131,730,379,324,574,689,420,511,959,737,818,598,103,328,241,333,
183,426,244,683,157,525,705,176,252,266,566,238,811,962,382,577,460,486,456,
203,469,848,524,890,906,824,778,113,753,083,517,568,824,525,788,224,184,537,
299,765,136,388,189,956,479,280,190,313,063,334,068,335,723,868,088,608,275,
909,844,044,254,776,775,903,396,440,342,787,573,696,047,461,773,345,375,272,
120,138,204,597,198,101,395,440,913,987,612,144,198,825,393,143,696,977,376,
805,170,397,950,311,822,982,274,602,638,929,375,454,998,152,912,526,258,590,
058,367,702,483,051,218,611,321,808,103,778,906,205,309,472,169,312,588,104,
730,059,285,464,087,359,829,617,029,677,677,226,948,065,685,193,714,184,128,
492,594,434,082,157,387,936,561,865,018,692,837,359,438,955,162,718,047,414,
464,644,741,464,169,852,304,296,858,233,612,223,932,612,070,988,208,104,943,
999,588,768,022,713,020,852,246,696,028,374,640,491,242,754,575,489,711,026,
995,333,315,143,790,420,253,475,371,436,220,245,392,788,726,118,092,405,850,
219,888,243,292,147,406,813,757,113,437,793,917,066,215,995,542,058,748,776,
177,717,021,921,230,722,690,483,033,829,293,515,419,533,517,592,779,106,230,
433,972,160,528,206,185,490,563,829,512,586,631,627,634,300,056,261,691,852,
876,040,932,017,534,697,392,583,420,917,327,691,362,321,884,569,780,202,859,
375,758,075,979,762,906,492,268,226,068,933,607,083,257,373,208,058,769,636,
192,080,811,751,262,207,765,032,121,988,054,400,384,170,458,294,304,648,281,
742,329,883,883,921,892,407,880,406,352,753,756,097,915,793,895,049,918,470,
970,141,577,981,867,828,534,834,480,018,612,252,684,050,528,532,055,459,264,
905,172,517,148,546,191,948,410,150,020,767,314,566,564,675,871,896,299,757,
757,735,597,981,691,251,999,000,312,826,246,292,549,164,650,225,701,208,659,
278,450,779,373,342,480,726,922,939,286,224,636,218,718,726,118,120,058,652,
301,994,535,478,538,194,431,110,437,069,468,239,169,101,569,799,889,046,803,
712,684,506,954,215,320,992,785,298,690,400,462,239,795,765,415,837,827,346,
702,742,386,705,846,968,596,839,998,162,726,871,767,598,003,298,200,787,933,
160,691,223,127,317,774,282,454,187,927,373,310,832,251,156,636,141,294,358,
839,607,239,522,087,926,031,287,938,695,715,067,645,820,002,175,650,520,375,
433,748,587,735,487,407,587,250,181,357,530,109,130,088,780,928,112,961,357,
476,613,025,365,242,001,744,318,940,729,657,933,377,464,935,985,258,555,238,
824,411,301,080,279,629,352,863,044,122,035,585,201,067,649,869,683,165,957,
455,263,763,396,300,692,955,442,968,756,725,070,806,914,385,049,407,872,147,
806,114,280,174,855,807,463,166,539,907,897,607,347,398,083,139,091,044,092,
095,054,335,842,087,732,750,339,686,334,448,509,643,366,383,069,267,735,810,
391,722,395,137,347,373,768,694,487,150,719,128,591,584,568,056,790,836,336,
700,372,097,424,684,162,726,557,822,299,021,587,533,535,535,895,648,914,218,
636,006,729,564,367,759,067,249,824,007,029,862,173,095,495,540,708,179,802,
481,038,984,381,712,357,008,299,241,755,979,497,746,602,389,830,774,399,790,
445,241,765,065,798,788,867,497,595,432,526,418,471,566,584,206,771,293,127,
738,113,338,624,473,582,161,810,677,835,304,382,008,194,392,581,670,595,214,
493,284,266,256,160,247,515,492,383,245,803,750,681,957,616,332,751,900,903,
784,802,788,859,868,215,273,374,792,441,521,073,889,773,609,561,949,117,499,
208,229,384,308,149,582,649,967,358,180,750,605,437,085,455,203,053,783,534,
071,571,736,025,406,701,155,427,253,136,125,062,821,912,405,028,583,550,463,
653,800,148,508,090,397,000,980,431,884,609,945,023,458,885,228,264,929,962,
172,073,615,005,754,994,055,372,007,513,456,917,369,177,069,182,709,637,176,
454,040,318,404,697,332,216,498,058,976,972,177,569,298,945,208,298,419,410,
871,004,882,731,903,505,963,578,439,328,926,941,665,435,424,775,493,189,707,
865,588,725,049,880,352,875,941,551,292,999,739,573,518,434,965,128,652,395,
108,276,577,452,379,219,426,526,462,383,609,549,429,148,443,739,986,106,991,
636,696,653,509,165,363,538,288,721,670,564,916,796,426,886,155,409,770,447,
828,499,965,225,994,736,848,039,278,004,376,458,855,979,159,920,192,739,095,
629,821,608,962,349,338,426,018,966,243,419,174,959,580,445,994,541,499,536,
714,186,081,570,795,553,393,011,256,185,663,759,366,184,770,161,539,696,635,
087,271,509,440,695,366,015,452,986,949,528,465,351,794,673,188,596,657,985,
473,986,521,168,088,431,444,352,937,034,967,323,164,874,253,442,296,696,932,
039,134,321,565,274,519,737,940,492,516,249,984,748,603,840,337,987,589,298,
800,736,219,672,193,239,948,127,688,328,819,854,064,960,222,369,748,842,915,
059,637,306,596,953,741,794,452,286,110,706,356,205,664,793,180,095,156,765,
948,919,106,494,366,046,685,430,122,267,091,333,369,132,850,837,674,554,200,
318,176,258,868,861,577,272,912,053,103,480,405,311,897,758,638,492,917,358,
601,425,568,936,474,756,829,249,562,212,888,274,578,559,860,237,078,469,313,
774,726,213,866,082,455,973,982,644,991,341,757,463,131,695,438,025,033,284,
859,652,832,014,645,538,729,919,294,687,736,909,483,152,948,849,337,634,098,
491,910,925,560,953,521,175,061,094,878,031,646,956,954,460,260,960,579,206,
115,856,777,726,592,069,300,387,038,817,644,090,769,683,297,438,931,328,190,
539,785,898,785,128,421,860,173,488,967,834,314,322,019,967,466,664,399,493,
129,608,178,613,904,397,581,566,396,850,303,652,464,835,006,121,588,042,712,
846,038,911,936,913,848,970,722,732,609,299,248,089,050,774,399,706,360,693,
969,261,972,358,355,420,324,904,007,264,691,466,453,045,870,182,398,572,042,
423,552,171,882,152,888,229,331,105,920,965,139,573,128,382,251,698,844,532,
129,051,302,828,827,005,955,475,269,421,124,944,014,860,388,465,562,817,866,
700,322,907,489,178,366,183,990,262,074,213,732,672,933,281,552,353,063,546,
471,621,976,383,426,500,002,423,763,206,016,409,506,771,611,831,403,838,992,
936,359,135,358,299,637,514,843,118,368,807,613,781,100,144,498,090,765,520,
282,224,199,491,469,567,424,644,608,254,588,501,061,359,134,072,353,302,497,
928,410,476,716,859,934,508,413,183,889,314,380,611,770,291,883,954,952,662,
132,117,680,402,483,032,373,864,920,037,086,179,481,339,516,715,441,535,289,
103,897,604,881,946,529,958,102,387,891,568,588,758,188,930,668,081,244,832,
151,216,779,772,281,201,475,058,045,115,745,736,251,681,629,930,515,711,597,
937,931,462,840,757,485,417,872,604,231,745,219,504,096,198,398,367,675,406,
845,440,894,662,682,767,721,456,882,846,385,130,466,676,660,533,376,021,832,
326,196,892,592,200,699,372,200,094,460,852,941,173,886,381,342,062,272,001,
339,081,287,457,784,175,195,869,757,351,183,424,099,103,239,271,049,488,568,
304,808,176,726,435,667,234,749,677,892,969,130,237,780,416,151,452,063,334,
404,486,213,571,664,952,354,795,404,119,148,084,784,760,359,938,752,132,078,
849,104,990,526,674,860,004,938,861,627,464,186,833,336,898,712,157,106,239,
982,594,578,990,768,724,969,823,065,972,767,834,363,061,883,525,131,218,892,
037,117,827,979,311,587,465,356,408,179,135,591,606,588,389,956,465,283,028,
233,474,545,718,116,116,950,262,197,355,126,469,001,236,109,760,457,486,122,
695,524,539,732,632,334,053,287,168,677,711,553,985,018,402,234,663,608,954,
549,636,405,805,835,765,083,664,555,401,901,780,930,481,302,209,525,621,294,
044,501,437,892,899,091,067,397,007,012,197,561,773,788,203,941,197,529,625,
744,920,192,728,553,828,901,599,681,008,929,341,750,677,723,504,727,367,011,
533,146,141,512,803,159,425,556,715,986,714,170,603,573,004,171,013,863,600,
586,304,645,701,036,504,565,560,974,859,379,018,741,399,002,667,996,075,982,
788,540,293,741,038,969,747,228,968,444,865,017,671,324,673,604,021,828,838,
863,802,467,131,855,223,728,274,557,671,432,854,997,446,257,995,237,672,540,
732,177,465,947,274,222,587,466,677,422,112,186,971,904,547,202,489,950,842,
953,851,158,782,438,885,333,498,936,572,002,182,551,663,565,717,963,429,074,
385,877,464,300,617,615,972,990,819,935,826,989,891,971,963,027,151,809,729,
862,553,544,068,884,276,945,617,691,654,712,410,777,068,569,002,639,097,943,
919,624,114,624,608,199,404,804,372,509,191,401,195,337,749,555,203,943,304,
476,148,606,640,688,091,897,263,536,392,952,679,736,193,473,853,227,844,190,
908,775,181,753,013,511,084,463,236,200,649,889,753,324,282,280,940,483,892,
954,358,652,851,514,938,027,038,198,597,510,489,102,221,437,122,276,004,887,
046,152,011,640,680,953,307,316,554,537,323,254,468,690,664,061,239,589,621,
347,944,872,834,703,792,946,214,568,722,296,905,090,423,061,106,677,631,059,
384,099,780,107,114,295,537,395,314,223,586,289,046,905,061,772,774,574,184,
661,735,433,495,189,819,430,618,579,253,278,258,471,853,620,142,264,734,531,
917,063,113,663,668,614,044,966,060,593,295,588,230,707,757,710,385,015,107,
100,801,435,944,214,628,373,545,180,069,778,955,088,065,949,775,369,995,078,
002,310,549,052,072,330,293,059,032,456,808,239,218,224,008,060,462,132,281,
230,202,604,179,516,808,750,296,790,095,034,620,370,818,256,688,570,216,763,
446,340,735,271,584,306,356,932,648,743,265,628,336,737,286,956,880,360,330,
940,625,152,201,354,709,632,588,954,863,671,086,640,586,728,271,005,826,522,
179,794,572,021,968,200,734,503,500,123,330,993,369,224,039,357,916,685,290,
731,717,617,889,353,430,530,382,041,085,141,419,754,126,639,586,764,491,754,
578,701,386,431,257,716,414,687,725,875,313,516,013,672,683,069,668,094,876,
748,349,571,164,942,855,157,758,538,506,491,751,082,166,122,337,671,407,175,
800,095,785,888,419,086,433,737,052,100,215,118,887,003,211,951,969,464,752,
763,409,235,964,518,099,996,191,350,455,786,690,991,182,894,303,756,176,590,
891,075,303,095,396,735,169,477,090,858,066,147,164,559,317,005,068,892,938,
856,583,188,055,112,668,070,631,351,259,266,485,962,690,622,338,504,472,084,
170,717,373,929,404,215,245,629,036,284,077,821,092,578,031,013,463,959,953,
296,274,973,184,523,021,644,119,164,677,424,657,340,214,344,206,869,814,261,
270,302,443,316,731,312,766,905,856,184,558,138,629,540,011,937,765,574,436,
120,286,603,310,722,587,223,294,539,180,208,249,916,786,725,865,928,939,933,
486,171,220,571,166,158,600,376,120,332,297,637,829,011,295,082,913,048,709,
326,535,667,158,419,986,330,096,886,520,210,195,396,211,931,384,600,959,158,
609,307,284,318,321,715,086,045,392,688,335,775,324,353,688,321,240,132,719,
929,173,984,465,608,089,690,266,841,381,268,159,839,559,022,034,397,927,266,
133,835,833,695,024,087,454,815,752,465,527,250,276,234,675,748,632,632,173,
429,733,917,702,815,724,993,537,850,400,270,039,342,904,969,900,592,417,097,
384,206,426,571,987,052,815,055,139,314,126,110,042,339,951,543,221,196,172,
097,335,865,585,698,856,391,279,123,637,554,888,907,900,700,636,709,771,830,
791,142,102,069,274,464,789,149,908,316,041,608,207,831,790,542,460,339,800,
978,627,965,590,670,299,935,529,867,608,538,092,825,431,467,251,400,982,687,
285,262,085,513,291,378,629,893,390,213,274,466,530,418,213,975,580,691,045,
089,251,383,636,168,927,147,115,650,766,848,370,464,688,816,245,172,596,308,
201,579,550,525,603,393,166,484,194,259,881,321,757,384,571,298,939,847,601,
424,422,958,472,262,294,382,506,431,506,151,787,567,054,946,046,900,602,256,
847,433,100,087,659,877,835,121,309,211,328,270,788,712,624,919,469,912,491,
082,348,639,892,125,538,612,422,343,487,777,289,844,970,127,122,059,344,175,
316,890,106,066,844,430,045,869,481,422,881,901,330,497,280,028,441,917,609,
765,011,694,995,627,491,445,042,437,268,289,562,643,363,180,054,517,650,825,
393,186,622,994,893,116,668,054,493,232,548,377,490,437,138,499,396,756,976,
315,811,566,014,214,963,331,810,573,236,686,726,812,561,838,645,038,504,785,
665,430,516,083,851,593,478,915,084,475,660,735,716,971,075,694,526,614,415,
429,300,261,500,430,025,451,398,080,943,620,685,773,077,267,301,402,541,647,
395,312,419,855,054,271,649,870,227,974,085,915,162,136,499,675,822,384,567,
164,178,032,120,999,089,626,209,599,245,909,654,772,126,494,021,859,572,953,
282,744,502,599,720,031,220,726,488,286,503,465,007,103,147,904,400,994,199,
381,122,390,108,683,649,506,267,928,592,143,197,166,315,109,542,848,461,159,
888,518,422,237,439,507,757,523,455,338,183,040,278,576,801,530,043,571,720,
877,048,759,502,093,220,294,184,293,062,580,678,246,865,587,898,784,220,989,
130,825,003,570,100,556,700,635,748,804,702,561,187,725,465,222,976,782,519,
836,284,966,333,384,012,782,793,396,243,334,468,018,562,698,624,351,054,602,
136,194,608,828,794,266,845,734,626,081,264,249,318,095,352,018,148,788,168,
127,211,389,058,804,560,454,616,113,840,175,646,796,603,921,520,220,476,686,
815,873,034,410,150,377,029,274,632,327,805,683,949,266,394,573,897,045,815,
258,842,608,886,345,625,651,958,698,535,204,223,464,782,937,745,934,355,079,
006,136,453,765,098,809,990,435,633,720,728,016,869,004,460,283,492,496,048,
832,714,458,426,489,774,907,308,011,407,090,149,096,502,568,126,855,233,843,
255,985,054,527,840,231,232,414,689,185,467,145,160,068,800,635,650,123,409,
487,098,929,559,599,021,014,227,425,994,539,802,198,583,674,038,091,107,018,
670,120,871,958,479,909,979,691,151,508,153,530,946,701,793,860,992,802,444,
429,021,677,928,749,451,916,289,340,799,605,054,686,561,149,151,767,904,710,
944,527,342,698,081,881,597,766,178,418,452,566,380,103,045,157,311,665,473,
682,595,814,918,602,575,692,083,464,981,642,819,814,226,290,633,470,941,886,
560,174,147,672,734,547,754,821,308,974,624,943,392,764,894,784,419,567,915,
608,511,033,551,732,438,255,664,893,051,180,781,246,801,743,086,017,047,964,
595,846,065,545,631,690,616,156,431,505,421,045,381,662,846,025,140,613,970,
356,863,489,135,003,552,113,489,676,023,489,409,102,908,550,209,096,047,219,
164,578,015,732,539,032,691,581,491,931,253,848,928,246,736,521,540,707,169,
318,861,846,077,369,869,333,151,113,021,510,021,971,956,311,367,982,890,241,
738,542,146,980,949,220,645,702,525,024,982,396,076,459,008,394,922,369,703,
413,759,042,517,930,453,482,024,227,319,479,286,367,270,408,524,536,617,142,
335,888,885,526,639,113,777,696,516,906,272,424,590,122,925,058,572,016,233,
649,514,496,469,323,617,782,875,599,915,108,138,729,034,472,869,034,055,765,
874,901,271,693,367,562,168,730,761,334,078,441,065,084,312,777,100,753,892,
783,569,859,896,218,600,784,182,691,346,398,976,464,538,219,788,311,021,952,
015,301,946,430,753,154,396,658,592,608,348,786,973,695,238,966,043,748,583,
557,253,931,061,553,109,677,991,081,062,648,259,202,028,694,385,243,247,157,
080,832,296,440,357,488,699,647,371,136,662,526,032,952,514,169,107,504,969,
964,225,643,557,771,209,862,561,174,378,145,347,055,295,844,135,479,700,103,
474,830,681,704,276,916,564,093,854,429,701,683,381,638,194,045,570,823,944,
143,726,790,356,821,659,209,897,683,965,208,848,897,119,308,714,546,652,082,
718,540,195,370,110,202,581,611,954,248,692,876,906,243,837,794,182,787,564,
308,854,255,547,706,395,787,664,987,525,655,418,323,379,693,503,377,915,917,
247,875,758,136,550,337,783,817,566,654,185,337,984,837,410,452,251,744,873,
346,505,462,637,758,052,457,749,376,355,836,951,929,061,216,063,508,739,812,
221,805,936,161,485,145,957,089,839,892,486,281,607,393,132,867,532,912,829,
022,094,305,725,866,645,188,470,980,778,204,279,208,820,602,713,681,087,251,
916,483,469,861,967,890,438,331,596,835,393,956,589,844,985,547,048,754,898,
638,682,517,106,768,465,465,360,556,995,116,167,150,648,341,583,336,261,484,
464,008,366,057,151,722,176,200,551,786,394,625,406,342,366,523,815,654,913,
029,916,281,030,071,790,975,818,259,695,698,634,504,974,487,474,749,661,604,
713,059,624,620,741,424,088,135,403,429,207,036,980,952,127,276,865,007,204,
073,828,939,580,088,893,756,242,290,513,929,300,149,826,964,700,667,042,657,
736,004,655,640,827,166,658,940,717,970,494,319,148,299,356,896,473,124,003,
918,028,654,812,784,782,032,536,933,583,551,053,129,906,263,826,285,285,227,
754,911,814,004,723,669,257,809,796,994,900,169,489,776,192,213,660,262,017,
953,559,551,647,108,304,474,358,094,754,863,333,186,267,668,926,981,109,013,
184,496,315,107,301,053,102,581,199,691,160,277,854,489,219,372,873,269,725,
675,171,963,794,814,599,543,073,144,551,632,824,453,616,062,143,907,987,958,
053,894,249,284,104,204,124,649,706,473,713,701,638,756,713,713,742,138,116,
252,203,341,633,163,471,894,497,189,934,347,430,243,889,285,607,596,151,647,
697,750,023,325,338,162,900,980,811,513,921,451,274,786,189,823,144,598,045,
331,815,925,904,919,212,144,444,894,655,167,716,058,283,097,788,436,127,837,
819,711,522,856,688,215,818,754,908,537,841,047,540,486,682,336,588,005,815,
084,628,259,146,695,407,518,724,353,624,649,988,140,791,914,240,185,574,848,
638,324,679,425,723,472,781,272,577,287,219,638,604,400,543,151,354,797,147,
275,068,792,198,369,496,067,422,358,602,906,904,299,205,918,746,174,342,418,
703,219,016,063,966,913,982,103,097,190,994,735,125,915,679,605,899,081,531,
826,664,345,628,708,449,088,455,968,852,438,086,953,387,474,346,151,173,789,
259,498,667,104,421,756,451,765,305,728,950,634,206,019,294,137,241,636,816,
900,026,977,763,388,837,120,711,926,727,363,672,101,451,742,398,737,575,041,
268,639,801,914,248,810,250,130,156,048,062,913,988,162,043,776,975,985,182,
787,997,046,187,015,457,844,143,478,922,790,355,416,754,145,676,380,314,531,
075,189,328,698,915,798,216,444,499,092,434,877,199,007,654,787,359,836,161,
727,578,556,910,064,534,575,179,305,501,798,694,691,285,179,899,808,155,845,
214,205,077,423,116,975,991,696,203,857,482,645,364,524,883,050,682,266,421,
886,119,730,753,648,337,014,023,932,606,415,085,696,524,707,354,119,109,574,
137,595,956,631,289,520,450,376,893,927,653,687,850,632,882,867,508,235,420,
273,728,677,268,863,263,207,385,176,481,260,990,913,987,209,202,777,954,623,
056,114,323,596,545,412,700,142,019,254,597,051,783,169,101,243,626,194,302,
595,872,620,917,692,566,265,815,776,223,463,120,624,468,385,153,854,406,335,
121,058,952,893,297,958,082,306,752,330,471,867,389,340,805,607,825,400,777,
409,766,716,244,744,782,168,987,274,717,600,883,659,904,431,109,475,571,056,
167,858,046,839,206,331,771,650,472,766,230,980,412,893,913,754,546,340,451,
073,977,492,094,629,220,929,562,035,984,276,911,609,080,510,606,526,991,625,
374,971,254,926,447,963,780,302,659,645,594,709,865,609,853,548,340,777,821,
174,664,784,443,874,929,533,847,422,898,186,688,182,949,633,900,727,034,251,
141,204,640,383,401,408,766,314,690,809,506,096,170,194,411,624,075,968,038,
683,950,535,793,599,814,066,055,584,631,227,111,291,508,879,593,568,462,895,
050,011,801,443,091,280,440,319,267,389,072,631,998,277,732,124,821,429,666,
006,421,478,244,182,052,327,137,087,604,334,113,492,161,338,713,899,377,244,
503,253,970,355,167,275,635,721,142,975,181,259,450,581,531,140,197,624,277,
366,883,258,899,497,437,139,779,166,686,984,536,956,159,701,807,637,085,993,
766,393,843,408,778,574,607,039,438,296,834,938,015,309,505,299,177,333,152,
187,824,764,015,048,784,220,934,849,822,470,774,212,002,067,780,406,990,887,
811,667,996,558,992,223,038,237,121,121,852,578,814,419,265,669,949,564,517,
841,137,436,397,731,814,091,008,359,215,852,160,849,786,332,275,377,882,633,
141,407,719,700,118,663,570,591,628,840,455,124,713,496,145,478,486,971,789,
036,691,831,780,092,204,390,893,803,531,833,486,756,427,140,629,140,826,090,
712,378,918,781,817,935,946,825,950,502,039,288,082,683,267,308,138,539,874,
623,986,541,594,846,361,535,319,884,677,477,450,384,066,666,012,235,291,257,
486,601,827,674,518,112,547,655,557,883,728,315,674,305,340,692,252,248,266,
492,791,772,537,767,095,226,503,465,116,164,898,086,328,676,296,995,887,258,
954,996,022,823,024,362,708,677,730,472,262,683,995,272,442,348,822,611,906,
796,663,418,407,627,383,418,663,103,081,302,914,078,693,589,404,957,791,390,
436,348,615,394,402,415,768,246,562,671,253,187,515,671,741,671,250,891,847,
470,515,156,467,187,067,640,209,221,693,957,753,784,592,902,627,105,099,247,
050,067,246,581,498,491,217,837,147,129,228,406,341,079,543,929,274,363,736,
609,729,325,250,426,382,175,023,533,955,678,501,825,361,553,487,517,942,724,
717,826,129,627,553,332,135,502,716,190,473,050,422,296,146,827,286,356,014,
502,083,799,916,434,227,231,375,810,589,180,330,892,205,833,845,344,104,976,
217,852,851,738,352,995,597,526,417,091,813,381,339,065,588,988,008,367,950,
104,185,984,583,487,637,885,736,215,269,861,921,816,999,647,588,178,770,928,
247,673,345,448,654,623,988,006,378,263,820,263,415,104,884,512,204,131,053,
641,272,418,932,170,627,483,135,056,323,477,128,021,961,819,121,551,068,423,
597,822,069,225,228,927,363,312,128,381,102,518,193,184,520,573,874,277,871,
867,600,075,541,553,890,522,831,458,180,700,273,023,302,883,911,748,813,473,
311,140,877,514,363,525,531,425,115,042,924,905,441,824,034,087,024,634,791,
297,637,614,323,871,826,834,398,008,610,852,106,822,121,029,161,283,625,134,
277,519,201,991,117,354,425,615,534,777,581,298,385,882,749,034,934,757,513,
992,007,995,817,497,259,128,152,967,061,586,392,013,385,592,735,565,013,879,
171,789,581,878,758,359,741,543,140,881,143,202,380,464,241,037,125,562,768,
758,946,450,547,555,949,580,959,220,646,991,727,450,806,803,492,994,274,983,
270,796,384,696,119,872,095,882,113,119,666,151,727,241,780,532,169,276,601,
653,141,993,180,546,265,601,277,666,218,280,198,411,958,019,801,141,396,968,
294,204,809,775,983,550,919,911,842,057,038,661,278,772,820,570,424,863,526,
861,455,272,598,382,464,872,644,336,859,046,187,220,437,322,211,416,464,328,
064,270,333,625,722,729,440,938,392,622,590,871,826,254,288,765,544,019,794,
977,321,662,629,330,317,177,188,212,741,310,416,944,725,434,190,400,768,617,
974,177,933,059,093,781,175,114,362,947,454,018,859,981,771,668,540,748,844,
531,381,619,017,123,740,565,314,917,662,269,299,928,758,323,064,810,876,287,
054,565,768,543,128,052,780,449,882,295,020,166,265,059,473,809,261,787,732,
170,878,224,099,163,417,790,850,621,250,568,892,240,924,949,256,244,825,807,
221,585,355,047,765,087,087,475,770,728,166,992,421,918,128,429,090,019,936,
886,568,367,545,874,653,786,640,854,889,238,343,190,272,327,718,717,838,329,
870,306,823,579,873,438,924,594,241,060,809,965,193,257,499,125,859,438,976,
583,111,389,064,763,021,063,725,950,851,413,425,861,201,032,368,511,627,297,
661,584,501,942,267,492,520,590,945,282,138,515,632,476,206,529,043,098,849,
112,654,900,476,777,992,403,906,789,623,389,555,626,075,650,788,921,905,136,
699,157,716,882,363,815,406,658,182,634,741,807,323,319,602,228,026,101,560,
104,628,763,747,103,723,588,769,965,060,638,692,917,309,533,934,871,643,563,
867,428,472,231,164,495,227,942,789,886,727,163,303,293,235,575,123,071,810,
208,625,956,961,814,964,300,120,598,092,174,593,386,489,098,025,315,710,203,
653,572,136,289,661,783,195,029,022,635,924,702,856,346,539,175,879,347,943,
308,065,825,594,913,412,014,471,018,316,183,958,604,357,322,999,887,762,094,
573,562,074,443,338,027,859,231,048,023,575,997,736,224,195,364,461,605,037,
167,481,313,207,103,532,272,589,587,093,294,423,992,448,969,112,582,498,987,
857,800,780,731,391,303,995,218,217,653,249,644,564,437,122,819,210,251,352,
396,021,771,067,894,146,956,727,823,573,195,594,793,541,085,647,929,795,655,
772,177,754,700,013,989,444,115,482,669,709,777,973,613,766,288,956,202,905,
023,568,265,905,516,605,969,132,889,193,688,452,260,383,668,661,150,992,111,
449,752,122,610,356,097,084,608,715,551,910,951,548,881,685,645,010,690,051,
344,441,066,504,871,429,164,776,246,131,742,643,875,745,501,258,197,365,551,
352,190,243,856,654,900,353,112,239,044,712,887,149,416,703,492,995,830,705,
626,900,160,429,832,773,320,180,051,824,543,109,559,660,245,598,245,646,910,
148,401,408,624,900,542,324,671,089,213,421,786,034,490,953,363,199,532,717,
256,284,948,579,038,742,562,363,779,837,467,953,225,847,981,695,333,369,452,
853,079,009,173,152,274,077,925,585,730,373,596,726,922,975,793,179,437,263,
951,322,282,768,958,653,897,358,312,488,877,851,360,118,549,222,797,421,659,
715,080,256,481,666,471,180,335,677,601,013,930,413,757,693,894,486,232,133,
887,351,127,516,812,021,669,711,431,643,930,502,706,048,593,090,467,256,467,
742,745,242,175,230,777,564,052,460,095,920,135,826,814,070,992,975,602,234,
261,062,982,676,290,391,384,297,972,936,408,414,533,443,443,623,319,049,509,
202,318,793,011,018,674,411,934,202,105,340,370,046,167,288,548,686,000,587,
792,941,756,498,562,207,515,513,691,095,939,555,174,320,387,138,568,147,159,
282,951,203,277,945,531,360,830,381,256,358,695,783,876,883,735,354,971,049,
020,735,193,674,028,590,864,925,358,181,516,331,418,039,336,200,911,991,933,
580,582,000,283,631,499,153,203,010,204,078,474,065,940,177,292,907,699,928,
208,574,257,127,640,503,183,539,232,509,866,915,316,476,993,458,030,702,384,
127,092,023,183,880,936,423,865,676,807,645,064,487,286,545,945,777,094,099,
463,533,409,060,987,425,683,355,987,475,039,892,934,382,142,678,069,179,800,
862,271,596,600,551,082,423,120,474,687,835,417,747,756,451,065,511,609,965,
053,704,199,575,244,430,569,039,737,182,013,377,719,520,202,508,761,948,607,
641,758,156,841,925,909,653,779,882,184,075,489,411,198,049,875,918,763,360,
320,715,305,908,525,509,659,279,298,884,234,061,884,401,154,159,402,099,269,
152,904,814,281,173,942,060,699,727,668,479,483,746,193,277,863,892,771,816,
807,794,808,034,633,617,975,506,014,509,785,483,991,974,956,982,860,082,102,
331,639,624,441,697,086,550,732,927,825,471,903,596,260,613,603,607,675,960,
848,702,078,299,272,355,480,834,723,152,308,013,481,598,648,273,736,487,186,
546,819,768,234,745,459,790,800,376,758,798,284,834,595,148,627,280,871,014,
329,342,611,878,065,308,642,362,145,193,270,758,769,083,741,279,200,562,818,
493,743,655,572,502,854,868,133,672,629,228,459,687,290,180,853,317,157,711,
810,376,332,099,078,753,153,956,990,159,241,724,037,697,690,470,351,303,779,
790,286,469,813,663,225,837,115,309,859,221,928,730,085,550,853,588,719,957,
796,441,308,928,401,401,717,662,919,097,385,200,413,912,498,926,513,282,091,
561,750,433,879,526,769,638,928,590,163,120,818,730,882,423,487,565,579,574,
295,427,779,633,236,901,242,794,970,608,929,434,155,551,075,579,558,485,524,
750,622,981,418,827,922,282,604,995,290,256,135,771,053,699,276,170,480,595,
830,704,685,287,889,870,578,714,397,706,447,599,708,873,239,463,874,691,017,
895,225,230,803,577,259,935,265,558,719,468,630,893,397,303,802,883,495,625,
728,250,583,748,480,762,852,995,049,775,131,106,360,570,826,082,465,640,090,
900,124,589,820,347,601,276,485,377,553,569,707,488,074,860,521,343,031,449,
828,040,361,930,158,695,277,022,646,999,896,731,129,161,375,818,364,999,452,
431,463,762,235,294,417,548,270,045,657,746,213,741,273,136,960,122,143,448,
020,207,236,530,683,769,839,828,712,322,940,901,055,283,108,843,915,885,934,
859,081,695,334,378,939,760,403,505,383,446,888,462,018,060,350,581,931,011,
756,773,247,858,230,480,111,608,580,758,762,587,673,931,535,360,466,572,804,
281,096,522,327,630,129,353,995,873,224,526,822,876,653,006,751,240,060,938,
725,196,972,570,039,210,781,948,824,214,327,828,214,334,950,927,649,520,282,
317,232,655,077,328,594,641,626,364,838,216,178,981,209,610,495,720,828,652,
082,353,857,177,421,228,381,542,668,032,844,035,253,460,982,889,431,417,158,
189,463,634,000,352,082,825,149,327,412,319,725,370,621,433,333,666,320,763,
016,270,355,674,560,593,052,123,158,092,639,664,703,151,218,703,569,480,982,
290,399,279,339,245,427,226,279,825,550,593,802,273,535,279,316,871,119,762,
409,584,713,650,781,696,254,330,190,957,940,090,943,073,363,602,697,503,494,
938,661,946,597,654,178,066,682,892,490,714,472,654,668,009,495,747,985,152,
533,169,164,308,378,195,964,409,434,153,041,087,264,483,990,270,730,202,862,
806,056,848,939,746,808,228,711,365,548,178,322,946,882,538,535,693,579,720,
380,788,228,912,152,689,218,042,239,558,329,306,053,950,028,200,226,420,513,
030,681,731,910,247,085,948,976,007,614,099,190,111,141,034,119,978,522,332,
385,964,269,830,144,478,622,119,005,744,535,415,333,529,625,530,702,451,333,
934,359,681,987,647,454,351,668,751,910,414,566,654,114,085,490,526,023,446,
877,419,997,502,011,228,453,978,073,705,383,219,687,345,258,367,160,801,360,
078,279,882,215,806,750,199,684,473,428,422,260,011,993,927,966,717,799,897,
647,253,683,725,240,724,844,087,918,127,298,563,364,037,114,742,630,130,714,
073,311,255,270,752,299,658,045,621,739,504,914,568,313,249,886,584,483,556,
451,898,129,847,659,866,427,801,267,017,275,849,208,912,215,850,192,605,420,
193,886,768,300,018,095,985,488,003,120,753,731,885,206,050,730,702,647,912,
906,509,837,403,547,631,307,115,620,287,039,031,343,425,474,022,446,050,209,
454,019,850,209,154,951,390,870,828,533,842,538,460,981,061,457,903,345,623,
470,346,469,717,824,649,677,791,308,622,485,455,178,406,317,951,500,975,144,
330,580,732,296,015,571,131,832,066,715,152,969,844,695,414,118,019,835,043,
415,900,385,229,629,488,647,782,038,551,776,285,050,272,653,547,945,274,284,
774,225,884,188,883,690,893,134,832,981,994,389,354,205,112,357,201,345,188,
655,474,839,767,092,293,671,987,208,238,073,087,345,170,440,915,628,573,133,
205,835,592,469,276,401,702,286,091,267,097,100,305,420,909,847,760,478,437,
610,579,609,486,878,380,376,851,830,375,633,901,247,312,722,520,770,029,051,
970,793,665,241,824,014,160,050,484,127,377,925,819,241,698,401,014,393,461,
726,527,540,758,616,900,588,266,923,249,168,186,939,411,483,840,550,266,704,
225,813,799,153,025,522,285,262,665,093,151,985,729,471,899,310,791,334,896,
859,993,433,218,896,042,722,386,647,323,631,368,167,175,746,357,262,863,780,
482,457,079,113,945,025,786,273,037,033,213,506,385,530,720,178,305,204,149,
496,088,336,599,394,055,585,623,223,848,244,849,954,116,110,022,807,567,966,
075,024,148,154,995,806,837,333,122,113,202,734,330,657,911,055,384,558,491,
184,299,475,856,284,926,384,820,360,990,599,487,355,999,116,922,560,819,451,
057,477,599,595,528,391,819,702,891,913,982,092,296,901,075,869,530,400,296,
399,287,634,834,185,744,519,978,481,079,483,082,648,167,336,205,458,435,611,
289,077,669,731,872,704,688,021,821,315,879,047,256,854,613,515,430,321,689,
120,866,017,119,323,212,357,849,321,083,100,870,066,544,830,554,111,520,671,
977,219,532,202,477,006,213,274,573,345,164,260,371,604,525,392,711,846,770,
218,994,502,442,538,416,282,548,083,325,105,740,021,897,556,229,720,047,855,
272,372,803,633,620,078,434,697,241,041,877,705,621,328,813,267,801,144,851,
054,844,185,281,959,039,308,249,120,016,044,991,094,114,721,064,249,505,207,
953,410,856,574,684,017,514,355,164,182,920,150,347,643,211,275,518,361,568,
791,537,948,646,870,306,726,674,718,633,695,257,171,137,034,699,537,922,332,
579,432,927,541,455,004,341,907,827,215,436,976,992,396,909,211,299,527,215,
466,270,696,357,955,241,772,810,054,563,510,236,561,297,916,131,442,400,226,
113,365,015,181,336,385,337,067,338,637,467,404,260,260,742,456,642,214,458,
842,134,194,183,129,887,173,222,346,119,787,522,910,045,643,090,536,907,148,
963,855,627,338,376,145,369,498,466,871,085,309,433,713,235,672,943,944,341,
061,868,541,769,695,522,700,178,258,077,788,110,677,276,517,182,725,503,483,
852,817,675,012,315,199,520,657,447,008,624,255,886,035,486,935,660,894,588,
256,540,123,148,122,095,395,484,218,773,010,652,850,595,413,015,312,095,094,
595,092,419,959,456,151,168,686,367,189,267,577,968,852,943,189,867,015,074,
519,585,774,013,944,624,027,192,481,767,928,821,160,489,802,090,022,540,242,
528,837,233,873,813,088,899,124,713,309,588,630,055,372,970,214,485,256,689,
546,796,879,155,741,360,222,766,870,077,969,139,175,303,084,865,024,007,651,
405,709,221,057,623,808,109,577,134,042,010,716,610,160,669,175,710,084,628,
349,179,343,993,567,335,338,238,043,649,118,044,646,533,951,869,842,911,915,
125,428,896,118,532,155,522,982,512,578,870,270,592,658,179,766,798,851,769,
749,367,230,420,206,924,329,573,838,286,838,163,853,040,792,587,042,250,807,
146,981,338,160,060,724,757,385,364,835,953,405,459,216,254,816,003,702,802,
516,472,484,834,152,448,552,188,818,832,196,766,032,682,416,840,720,002,920,
486,619,543,254,549,557,388,918,497,410,494,358,379,176,564,861,474,854,138,
243,056,713,573,913,192,405,795,252,092,575,304,417,022,811,056,227,993,158,
160,609,847,392,014,984,721,675,928,145,214,503,355,413,740,032,653,112,073,
287,301,524,387,820,031,670,051,147,970,414,433,831,006,174,705,998,358,721,
902,734,888,776,983,676,738,575,295,617,786,437,629,170,538,508,145,502,599,
450,986,506,723,901,261,738,038,854,150,648,170,143,908,417,485,050,769,353,
509,857,091,739,109,667,214,221,565,932,346,778,152,693,623,324,423,665,070,
196,326,923,614,559,681,287,443,853,342,821,486,288,361,988,639,871,023,903,
544,185,762,510,733,955,809,177,535,103,871,459,818,576,132,461,299,541,099,
116,787,353,063,895,729,687,851,529,549,670,305,030,357,640,555,098,888,553,
665,286,430,781,308,495,064,960,051,940,847,739,756,311,970,286,141,566,478,
403,542,286,081,441,180,043,825,469,434,990,866,004,542,771,941,843,501,914,
581,192,458,391,419,586,640,323,496,954,200,200,337,410,646,954,612,946,714,
528,840,194,185,282,342,133,087,525,289,698,303,254,534,257,136,920,535,356,
625,508,906,345,572,007,592,957,285,811,008,521,702,833,353,719,515,863,991,
823,806,482,772,500,387,908,535,995,456,693,355,832,024,157,920,196,208,253,
115,574,326,936,024,843,624,656,596,397,682,712,599,118,089,995,355,621,141,
345,367,664,371,294,538,881,485,301,825,899,702,192,313,639,306,761,500,271,
059,161,007,060,024,128,051,319,876,982,309,253,975,637,387,514,377,968,601,
328,322,822,753,277,295,886,197,898,101,065,903,341,539,294,220,199,235,699,
652,513,455,782,382,451,487,473,154,423,981,011,723,780,129,040,422,556,316,
037,968,691,170,896,086,094,443,247,863,166,758,135,658,968,353,700,660,563,
612,864,833,247,960,126,903,922,884,537,061,365,902,022,841,214,699,181,008,
435,269,563,896,417,827,906,995,768,106,291,199,165,931,200,056,463,221,849,
843,427,222,050,018,505,404,033,729,596,649,287,555,749,538,705,637,178,009,
035,276,483,774,134,130,471,382,973,804,086,408,952,317,431,104,643,380,773,
796,029,751,062,080,833,548,590,174,356,318,173,909,435,279,596,207,477,101,
786,859,907,456,644,810,902,099,581,745,671,639,588,607,831,110,153,236,912,
050,377,857,809,769,797,014,624,028,716,562,044,911,819,246,392,873,421,130,
958,932,314,274,327,380,253,476,634,413,627,605,466,319,594,456,081,564,282,
124,185,344,647,823,692,648,528,487,549,574,962,891,257,875,350,038,419,559,
123,805,133,359,019,451,233,116,474,268,645,234,580,445,881,038,586,264,188,
551,897,682,411,763,552,819,308,415,626,739,448,347,388,188,765,588,005,033,
122,337,683,132,849,528,245,431,717,727,172,189,036,201,372,481,024,854,896,
407,918,911,673,663,632,085,638,051,207,542,987,937,935,762,544,916,800,987,
905,383,015,315,845,112,689,193,561,494,866,770,330,932,095,369,478,545,431,
298,274,013,685,008,697,797,051,582,067,199,210,233,049,270,902,440,533,063,
187,194,590,897,910,044,304,808,533,202,704,139,627,629,631,681,171,220,970,
854,462,850,799,947,656,745,760,423,407,905,754,470,518,372,887,010,996,806,
195,692,185,509,028,374,883,112,995,110,294,597,220,684,124,345,777,891,873,
318,541,024,674,732,585,715,341,563,440,763,281,376,710,288,337,421,797,876,
134,208,402,678,027,745,984,162,890,246,583,148,950,643,313,252,523,789,233,
771,193,346,375,419,867,875,909,676,848,465,457,742,623,387,072,830,615,006,
153,996,178,987,632,897,960,863,821,815,008,615,350,448,583,075,788,137,229,
416,746,884,727,374,260,332,480,704,306,299,886,211,448,224,619,654,564,312,
906,426,871,694,838,865,362,082,344,814,763,504,294,919,928,816,437,998,040,
991,689,248,543,830,323,948,170,466,612,310,629,029,272,133,591,107,321,279,
135,970,371,175,766,993,245,870,153,439,635,808,920,408,278,977,799,758,677,
356,123,322,475,979,491,332,958,197,965,286,484,086,553,917,661,032,690,679,
943,923,099,666,731,801,474,886,322,501,062,093,521,300,005,731,256,470,349,
365,067,788,262,548,465,005,198,302,073,894,175,414,360,863,835,800,197,630,
635,189,933,756,081,247,880,375,644,325,249,075,064,698,706,958,216,252,154,
143,767,088,692,483,443,148,792,967,338,808,119,381,991,214,223,151,252,974,
239,642,990,626,115,627,991,357,202,970,597,342,797,984,140,107,428,337,611,
752,248,339,846,872,093,332,085,243,201,941,172,332,484,072,028,221,127,994,
581,758,014,245,854,510,172,622,223,334,734,620,746,542,562,465,504,851,109,
680,287,601,621,069,995,590,008,474,221,343,075,940,949,521,775,859,270,721,
282,866,545,755,319,389,434,479,548,956,594,722,307,959,332,238,376,693,760,
832,243,190,048,915,969,967,885,608,457,537,068,896,349,562,710,772,277,688,
080,192,400,709,003,818,068,112,524,791,437,077,265,995,001,391,385,260,055,
361,801,869,916,980,818,939,340,044,218,892,279,915,737,506,862,958,101,910,
229,928,580,553,303,145,470,591,285,807,182,363,707,012,069,103,979,637,549,
277,495,338,257,065,085,666,552,725,583,119,098,288,934,831,859,170,475,401,
505,729,871,890,794,291,583,237,860,772,038,670,030,124,788,308,629,092,624,
370,889,685,405,008,629,749,775,208,300,660,833,877,996,223,920,355,600,520,
845,379,235,734,056,309,451,256,258,354,169,687,865,451,669,376,306,089,230,
413,436,511,766,175,990,294,807,141,461,535,335,518,361,601,615,449,847,402,
225,415,397,094,478,001,550,624,450,216,579,891,984,423,063,104,974,626,354,
752,074,239,946,510,450,578,524,952,910,268,214,778,714,503,074,693,919,122,
975,996,816,359,783,032,749,856,329,360,038,868,536,145,590,580,630,035,423,
929,622,871,388,952,422,864,477,051,125,130,626,701,295,660,755,798,711,434,
227,163,580,906,039,438,988,144,978,255,643,722,299,480,670,327,081,207,228,
085,036,502,068,698,442,649,336,640,309,965,116,079,896,494,394,858,894,602,
820,239,449,380,807,890,355,132,874,562,347,802,432,347,177,672,617,387,243,
436,846,778,536,677,611,243,219,616,788,392,272,385,613,838,054,072,627,549,
175,931,558,873,665,153,948,104,804,524,390,850,439,677,621,338,754,084,315,
014,857,508,992,516,554,378,278,313,271,445,379,248,682,446,481,748,171,735,
232,355,044,960,310,115,073,173,480,904,357,551,307,768,318,199,564,624,608,
343,126,515,239,475,739,593,699,616,033,861,411,042,656,066,796,274,714,584,
427,092,306,341,581,020,336,089,827,200,027,776,259,191,242,516,586,774,517,
581,819,629,034,943,335,541,916,240,230,349,578,141,887,594,704,134,256,708,
906,401,124,815,431,320,728,553,610,942,818,076,156,446,750,694,898,666,560,
352,531,463,325,098,958,339,025,050,916,803,106,861,330,724,061,210,693,434,
304,808,306,615,034,132,321,758,643,420,644,432,829,045,397,349,915,065,184,
830,148,530,402,451,432,937,673,947,089,273,338,648,062,330,813,106,793,366,
387,842,142,385,777,437,424,959,963,024,331,800,348,488,589,234,503,227,882,
798,974,284,390,153,926,480,914,512,661,574,604,673,190,442,709,666,013,202,
405,455,097,820,471,231,927,401,941,583,385,998,088,974,141,458,509,465,934,
637,059,034,704,940,528,081,918,855,072,409,122,356,581,942,681,218,420,672,
853,633,417,863,264,731,558,423,346,183,178,441,334,776,688,138,606,072,871,
818,944,844,765,002,345,322,246,702,934,287,659,513,402,627,224,329,639,524,
512,227,779,344,769,820,406,684,968,542,381,513,374,289,611,426,162,516,695,
614,894,634,256,206,180,467,297,678,754,655,098,554,963,615,815,487,515,797,
900,878,238,056,697,559,649,854,329,220,284,490,532,552,943,577,933,990,425,
945,639,674,591,376,478,307,108,858,357,780,747,303,191,375,403,630,954,613,
875,327,734,479,769,499,284,921,630,947,055,865,746,288,655,235,384,372,207,
590,329,683,292,267,577,118,855,778,424,892,943,321,310,611,197,925,440,838,
165,548,778,809,169,515,494,857,497,823,087,939,815,750,775,732,685,078,195,
407,335,917,163,990,954,598,777,400,214,229,573,875,035,957,060,763,091,768,
764,857,630,704,621,276,626,503,883,373,745,467,510,159,043,707,907,469,975,
500,104,549,836,836,744,092,986,648,792,932,289,077,928,803,127,156,134,396,
057,718,859,860,558,086,567,712,722,714,010,977,481,731,499,724,382,791,779,
515,647,638,782,273,310,673,533,810,763,459,758,664,511,112,039,833,022,969,
019,681,505,468,992,294,700,272,129,953,339,565,392,457,064,997,676,545,050,
863,382,765,462,865,629,463,448,607,107,553,445,936,740,818,666,882,281,058,
255,526,507,184,613,746,001,611,684,130,650,480,957,246,633,031,355,505,048,
529,437,409,871,166,471,394,834,971,374,438,228,003,740,155,239,748,522,125,
597,565,304,685,234,114,312,138,397,814,146,276,000,909,637,211,185,820,589,
578,611,790,078,407,105,260,927,283,263,754,407,857,279,287,955,966,496,989,
437,178,197,921,370,714,915,790,492,491,460,744,707,125,292,461,207,155,331,
171,935,231,830,340,696,105,564,007,041,010,019,352,439,808,104,683,963,029,
673,721,278,742,910,195,005,833,351,756,809,478,136,958,130,188,178,310,591,
714,889,289,845,402,236,653,547,393,197,449,056,447,779,336,798,960,455,625,
308,543,192,698,171,201,084,081,976,290,891,233,449,838,400,424,719,230,986,
352,870,593,223,669,262,341,221,236,573,146,805,337,488,399,216,702,789,692,
940,352,866,980,248,423,509,135,087,654,269,611,046,966,007,390,811,054,321,
762,053,729,920,539,298,563,257,481,948,596,681,438,711,419,809,543,111,268,
438,745,764,889,723,728,266,691,984,991,389,569,612,976,618,521,568,100,938,
541,459,957,561,294,377,926,276,504,389,982,881,446,460,249,208,988,559,475,
334,104,248,179,410,016,457,530,023,938,349,154,390,967,280,790,712,011,499,
347,070,359,444,907,688,553,163,966,035,389,657,342,707,337,549,575,256,493,
623,087,420,125,670,844,316,949,690,070,492,137,768,599,287,866,400,869,982,
864,906,512,085,232,328,374,564,985,190,414,191,220,490,128,448,862,746,158,
828,362,773,892,481,106,859,224,938,308,195,759,873,639,160,097,943,706,474,
584,590,014,337,415,770,125,868,821,281,141,083,844,722,231,453,437,832,932,
794,377,592,906,321,573,299,367,091,854,836,477,089,909,722,843,001,643,408,
390,204,290,362,089,133,639,014,515,603,844,390,451,159,673,697,346,327,953,
271,105,877,921,327,748,326,951,790,461,030,969,925,467,285,938,428,384,800,
326,017,438,163,589,139,845,973,702,190,361,775,406,150,716,695,660,135,013,
929,239,256,804,018,713,760,649,972,817,460,223,181,196,327,908,575,856,316,
019,665,043,442,528,431,171,774,748,607,240,462,188,361,523,187,211,243,870,
534,744,824,647,416,956,159,046,627,493,041,560,581,223,721,854,581,608,334,
291,010,937,721,409,506,828,156,098,071,414,896,342,694,028,943,975,988,789,
692,596,898,714,012,706,245,054,526,410,987,142,738,278,677,396,235,046,399,
122,063,546,600,090,904,002,431,698,806,676,648,769,114,311,498,066,123,515,
142,225,094,191,266,895,415,682,713,432,280,154,867,564,959,404,387,756,046,
851,902,536,625,061,941,510,186,477,830,751,626,968,103,362,790,838,482,493,
801,273,498,379,984,270,103,224,880,891,411,821,499,425,744,847,867,918,842,
222,413,931,665,288,748,956,862,248,534,502,980,362,521,413,938,002,525,971,
087,331,423,682,355,218,857,640,666,900,161,093,406,283,179,706,600,634,840,
761,448,971,193,724,006,640,599,255,629,754,292,473,814,296,200,737,980,565,
805,225,277,287,075,856,270,541,054,551,538,553,786,829,780,164,366,035,966,
264,967,257,104,052,461,962,646,147,485,833,868,517,007,739,096,388,701,325,
095,197,168,646,761,158,278,333,801,069,839,810,063,125,066,129,335,688,623,
524,144,497,497,340,047,377,763,305,286,756,852,246,951,621,384,896,293,899,
323,946,254,617,429,757,118,298,093,785,916,905,434,975,551,840,666,558,194,
120,391,214,280,729,324,493,914,932,565,688,197,096,202,052,331,664,493,799,
559,276,130,587,960,858,225,740,600,693,748,439,338,140,020,699,450,866,866,
144,729,535,621,539,631,616,444,636,017,650,435,835,973,985,753,545,219,608,
553,319,250,508,421,042,807,292,524,324,982,011,228,867,219,499,778,201,885,
029,798,205,576,304,532,243,355,048,277,747,280,042,903,841,477,851,690,163,
715,509,835,317,890,073,172,217,429,351,135,181,149,728,116,298,971,224,030,
317,746,492,835,181,524,470,487,918,826,155,003,799,828,935,203,882,150,801,
971,355,536,206,650,062,693,459,628,049,366,563,852,945,643,965,399,246,751,
303,292,253,337,877,734,841,308,451,234,679,930,464,532,413,099,895,604,350,
518,366,175,280,384,972,217,308,110,521,907,107,204,646,278,167,306,837,539,
788,319,524,410,764,278,953,582,693,079,123,164,513,577,448,876,601,553,646,
683,190,530,336,436,609,337,529,510,006,044,458,066,056,226,717,031,574,516,
286,952,399,472,309,935,057,032,807,487,377,409,115,975,374,344,930,438,276,
796,870,331,390,070,148,396,117,605,201,723,128,049,721,478,278,417,061,427,
412,714,688,317,999,677,145,203,740,909,527,630,392,115,167,053,620,948,364,
769,395,402,066,549,927,800,046,686,973,819,813,448,149,988,526,954,414,813,
915,293,130,252,002,473,176,307,523,809,267,841,147,932,260,558,055,538,246,
611,569,357,304,129,496,856,921,757,765,162,673,607,871,467,822,952,905,219,
504,947,673,456,472,344,810,078,380,006,260,024,912,528,190,242,617,366,140,
038,139,206,596,147,179,913,446,091,513,790,152,026,811,477,087,143,947,368,
928,613,195,517,294,192,973,615,396,266,456,773,093,820,013,438,005,991,793,
885,489,087,125,841,058,778,366,601,962,525,248,600,084,665,911,585,275,361,
295,103,016,295,848,470,150,618,915,915,224,556,218,026,942,723,854,682,488,
410,839,508,441,646,056,484,935,094,767,774,031,339,362,312,986,078,983,828,
673,804,269,378,815,249,696,930,647,526,780,943,584,517,586,410,359,349,145,
504,950,517,167,969,297,079,662,215,199,288,888,131,489,925,777,265,006,957,
848,718,219,949,065,349,230,275,041,560,576,273,687,937,424,825,424,497,746,
246,838,437,706,605,663,558,560,650,404,657,709,861,713,788,954,554,492,118,
670,948,810,208,616,723,216,496,650,442,446,182,024,646,680,180,830,315,690,
362,767,129,454,681,835,520,127,693,427,305,693,433,858,404,211,436,861,600,
738,186,311,725,172,804,520,399,699,868,831,705,665,362,929,941,729,864,518,
266,452,400,404,889,410,234,894,242,863,046,302,466,805,986,905,610,410,433,
014,775,947,379,257,675,269,561,328,695,036,005,920,408,685,817,877,032,859,
773,612,738,195,694,326,119,379,069,209,094,972,060,439,134,364,794,307,684,
118,817,952,520,893,104,790,195,722,005,660,318,610,396,631,998,121,467,939,
311,525,157,211,626,594,148,143,847,079,163,761,881,558,394,694,053,026,317,
883,688,540,759,475,166,914,474,113,278,390,258,065,759,594,579,376,826,939,
068,905,764,455,484,272,374,195,379,871,995,083,849,547,920,720,225,946,131,
717,364,623,477,155,052,916,319,014,151,254,725,145,103,957,879,187,168,947,
387,530,329,753,093,613,812,195,777,061,277,280,479,940,533,979,834,646,975,
077,735,953,833,929,396,655,956,911,268,305,855,527,990,383,218,397,201,846,
167,072,668,418,661,419,457,965,994,545,000,976,319,176,799,608,201,120,137,
475,742,851,548,000,823,205,676,097,981,189,291,887,359,789,301,153,307,284,
192,321,876,038,372,323,837,685,717,804,452,361,426,768,865,587,860,754,572,
629,903,265,010,537,849,576,687,959,946,724,511,852,917,502,187,186,639,821,
039,881,145,136,399,357,741,412,978,525,044,438,250,944,385,760,668,182,625,
204,503,205,288,421,515,651,393,974,765,245,652,886,414,969,749,562,068,860,
074,396,451,949,497,543,129,253,139,436,131,301,033,355,562,051,479,240,042,
134,687,650,259,749,668,296,142,021,386,340,091,166,739,784,358,396,654,583,
434,640,840,759,153,789,201,970,689,775,034,484,422,191,011,681,846,424,784,
690,731,696,171,968,527,843,570,274,557,940,182,664,200,805,440,416,832,245,
146,332,858,800,739,722,713,264,211,641,564,113,318,507,027,767,616,475,691,
358,071,857,654,045,563,328,663,006,217,009,931,387,850,054,845,339,199,543,
992,872,844,108,305,515,748,284,378,344,619,652,808,016,379,840,978,144,581,
839,177,965,751,867,793,300,842,177,624,895,446,210,642,283,849,154,415,168,
219,573,929,738,338,445,208,807,865,215,641,718,953,516,265,629,285,178,227,
083,693,842,253,379,321,998,136,851,772,172,453,590,538,194,524,762,907,925,
609,804,546,080,435,382,741,330,424,087,702,910,905,699,442,851,332,966,089,
618,389,055,921,289,437,475,669,873,351,939,397,211,778,576,993,199,879,720,
735,855,239,729,757,253,858,229,718,841,768,724,008,682,370,840,233,971,760,
500,750,922,622,698,475,242,702,884,097,189,431,867,085,905,983,996,209,486,
555,329,218,350,485,049,875,109,272,587,155,579,470,479,969,382,504,889,173,
734,695,340,788,411,149,182,996,587,450,130,106,466,797,073,734,122,303,651,
806,939,261,102,275,282,946,990,051,908,024,177,895,719,991,224,230,329,401,
345,320,039,361,479,906,149,582,637,904,337,399,053,864,899,897,539,928,741,
293,433,925,733,282,530,176,332,657,106,431,301,843,685,627,912,077,615,407,
674,444,602,477,057,961,523,986,106,345,187,714,975,039,684,139,642,575,176,
286,291,905,885,883,035,112,459,748,141,195,298,120,871,227,823,953,103,224,
722,675,631,945,763,473,000,844,775,616,346,891,671,192,556,306,275,607,853,
898,788,251,240,952,427,956,488,711,169,458,813,366,905,475,168,992,392,467,
417,548,850,282,246,491,757,171,848,357,542,981,181,392,853,992,811,790,707,
127,066,451,459,837,457,706,728,860,750,753,216,446,281,793,264,684,064,159,
296,692,422,215,644,839,560,635,253,548,621,877,223,122,323,701,373,619,505,
067,144,966,131,090,614,670,537,151,841,044,503,092,551,061,303,407,897,877,
916,911,833,129,964,007,556,938,707,076,131,140,288,932,614,593,194,057,731,
446,589,506,796,644,394,769,937,369,245,934,868,278,102,349,134,469,656,484,
618,099,003,823,110,350,119,935,456,749,777,131,731,304,092,468,918,044,551,
975,075,215,179,033,048,498,150,431,062,092,552,132,811,637,833,804,728,981,
984,834,506,784,277,859,522,886,817,609,903,863,860,965,972,610,756,405,072,
986,167,615,059,959,650,345,328,305,322,729,814,213,235,441,835,745,097,412,
627,965,175,014,344,173,493,053,275,650,218,869,271,684,480,329,908,758,603,
937,018,277,199,656,044,244,143,644,209,555,123,403,256,214,580,732,218,510,
197,681,126,764,214,580,001,698,338,755,038,559,952,151,955,635,441,969,859,
851,110,414,407,055,013,887,335,361,372,823,493,017,453,890,240,000,138,849,
650,353,373,230,784,927,378,857,475,303,312,772,102,225,089,855,992,180,490,
622,220,045,867,319,543,164,437,657,206,998,480,656,218,325,381,659,902,356,
393,499,141,866,857,690,089,215,671,941,344,772,538,392,551,631,613,154,109,
313,938,247,435,843,532,280,207,447,418,231,108,843,668,694,229,100,121,679,
767,884,756,804,575,622,941,433,050,949,013,227,163,299,503,135,301,488,974,
735,295,160,412,049,579,596,101,599,797,458,557,214,847,648,953,898,517,984,
608,920,806,155,462,885,240,093,256,157,871,168,386,180,854,938,706,852,422,
679,269,627,862,343,548,665,638,336,872,610,351,917,764,055,951,786,088,754,
463,227,348,996,275,082,078,092,619,804,839,343,939,041,993,838,792,380,998,
079,375,612,473,286,332,131,157,890,057,326,279,999,195,592,364,412,607,659,
603,024,601,848,877,721,134,048,002,984,676,681,220,003,905,345,857,870,520,
378,023,758,195,584,505,192,454,848,236,792,156,577,316,883,535,554,175,354,
863,493,628,457,661,696,381,819,417,889,340,384,460,174,289,130,459,634,079,
001,296,089,984,409,322,548,018,941,367,490,716,745,204,887,604,016,534,175,
078,746,820,326,097,730,581,208,642,178,619,327,385,434,927,546,452,701,999,
029,416,388,812,941,479,573,408,098,409,110,056,912,157,415,028,582,789,943,
484,946,373,371,366,048,356,676,854,455,644,593,114,560,787,963,067,724,904,
858,154,345,044,639,793,246,363,313,029,469,305,858,882,990,074,049,799,727,
692,992,871,099,374,365,235,478,286,387,853,148,086,412,327,681,817,904,118,
965,679,098,425,921,705,532,484,791,129,411,882,023,001,974,183,809,698,055,
575,690,632,395,105,744,364,202,098,883,056,131,471,000,734,344,440,123,663,
371,506,095,387,347,435,903,896,161,646,030,615,834,022,295,207,474,126,521,
330,735,625,236,205,436,707,270,031,251,405,516,406,510,736,643,104,220,923,
844,465,243,642,399,125,087,509,656,405,332,972,147,463,612,218,261,249,422,
171,795,520,279,712,576,981,540,289,311,493,123,654,815,273,080,835,821,493,
693,664,362,135,673,657,721,718,616,480,563,270,627,784,714,962,593,058,734,
813,187,367,856,248,257,649,298,879,959,990,038,722,560,109,816,277,761,803,
739,225,407,710,356,223,641,596,169,148,314,834,409,500,905,572,584,544,688,
084,981,204,642,332,773,172,313,040,433,825,686,497,876,802,427,388,019,622,
160,080,196,090,181,459,885,225,942,546,028,896,792,923,361,480,905,304,456,
625,807,427,690,708,215,298,208,670,316,686,122,919,318,857,779,174,762,237,
106,141,888,808,424,533,813,537,482,719,743,293,631,718,067,558,310,335,510,
506,962,917,473,892,971,689,321,014,126,013,938,343,225,577,331,108,505,464,
848,665,018,116,925,077,158,495,403,482,550,055,213,786,963,068,941,784,847,
748,131,781,614,110,299,485,903,165,284,421,886,513,024,392,385,659,236,595,
385,111,771,757,926,228,136,035,139,420,536,933,071,336,585,616,267,174,265,
733,335,762,777,906,660,092,187,764,607,725,424,484,785,856,754,743,083,054,
588,708,157,290,644,813,229,674,151,915,122,487,610,358,242,188,950,415,953,
344,546,936,587,917,913,596,177,847,857,992,776,266,535,086,191,143,630,865,
946,577,443,030,453,159,162,236,061,404,634,748,979,195,035,539,351,444,462,
227,903,260,282,405,374,643,977,305,901,407,080,899,412,145,011,051,581,682,
911,837,358,945,074,191,552,036,197,669,866,814,978,393,997,924,415,559,825,
014,691,323,334,539,042,412,130,408,438,711,395,967,714,538,020,329,402,744,
334,029,209,230,335,295,295,393,708,460,196,145,708,479,105,287,527,154,525,
463,338,547,513,144,239,562,415,699,963,451,598,965,936,376,001,906,787,332,
182,448,854,801,262,535,912,624,223,725,822,836,645,861,931,870,545,295,656,
481,654,451,577,071,277,163,594,063,152,537,720,765,960,184,586,696,793,855,
385,516,030,766,672,589,364,868,480,687,644,234,173,377,002,961,212,925,702,
578,412,642,918,580,472,270,611,410,316,372,107,111,609,041,812,569,135,013,
139,649,144,198,550,325,152,095,097,063,478,352,822,754,668,368,898,025,210,
120,561,542,872,546,239,747,467,644,438,860,187,195,668,838,070,165,118,551,
957,528,545,256,147,296,631,179,892,881,251,537,346,314,522,560,580,136,886,
673,092,760,916,066,184,811,188,752,038,730,050,076,134,007,212,173,256,638,
111,406,060,222,038,252,003,571,456,848,058,623,096,309,508,675,319,647,462,
842,871,305,808,269,058,500,754,061,542,990,194,400,905,285,476,504,478,378,
634,438,039,643,928,788,755,490,450,547,355,706,782,085,155,229,252,125,001,
081,483,644,340,289,104,866,757,755,593,850,596,624,379,794,738,384,636,712,
276,167,826,613,426,806,584,408,511,637,120,966,618,947,072,302,307,190,273,
253,492,817,638,687,554,191,924,218,175,856,230,755,598,038,759,342,344,053,
238,152,341,606,587,150,852,999,092,166,888,800,471,900,468,481,786,851,718,
954,001,582,799,662,675,274,749,303,894,944,196,518,917,318,590,572,432,335,
888,924,687,797,908,432,071,131,552,963,860,275,394,930,463,176,254,135,168,
929,300,800,007,758,249,354,184,198,317,655,223,123,415,200,918,255,787,478,
529,559,022,713,237,604,844,274,353,144,287,696,121,832,165,263,179,096,927,
760,362,119,461,094,763,640,420,860,825,076,189,118,386,362,483,851,153,846,
926,415,751,351,898,518,087,078,785,027,708,251,700,548,373,991,178,903,867,
392,181,929,668,802,982,117,029,710,936,073,462,053,324,263,890,788,108,042,
794,997,959,611,819,812,251,510,062,206,465,859,596,427,218,170,124,488,818,
128,021,421,353,643,895,593,287,792,505,366,490,528,475,883,612,243,066,779,
894,335,798,309,310,745,994,499,981,608,613,719,888,645,090,325,541,577,243,
988,851,033,841,053,514,026,185,986,485,329,823,804,032,636,100,823,376,204,
391,919,950,660,318,828,570,890,972,745,479,924,914,398,527,792,987,666,388,
609,419,855,894,064,145,931,984,334,603,324,134,880,895,076,881,521,049,795,
458,378,620,995,951,518,545,301,121,708,946,229,387,192,498,533,121,663,341,
248,019,055,008,637,103,801,381,748,153,092,126,708,693,866,344,070,640,881,
134,839,758,727,830,314,539,699,189,271,607,761,844,110,662,238,205,318,959,
388,651,081,999,382,909,872,086,131,362,143,813,615,467,668,106,817,221,260,
704,746,635,302,291,902,966,574,262,677,075,507,845,879,926,231,494,745,512,
082,016,718,824,726,186,215,030,479,166,936,089,325,144,875,122,898,226,692,
257,374,116,810,204,898,333,818,590,125,518,150,283,239,261,110,081,801,361,
929,679,093,026,105,844,775,935,171,904,235,136,194,117,923,319,869,471,454,
946,630,050,579,135,057,934,063,965,069,467,258,209,120,579,261,484,531,388,
969,791,445,010,111,743,994,391,739,215,565,445,466,451,461,695,294,424,606,
076,430,661,637,340,081,858,584,545,093,223,721,445,571,534,099,971,692,638,
608,369,196,890,585,418,208,250,022,088,102,064,398,671,199,409,229,331,864,
250,191,923,215,587,544,003,791,398,254,187,051,086,648,522,043,267,437,312,
627,022,874,400,232,013,471,442,099,085,245,838,814,320,939,390,772,435,437,
514,060,457,137,572,514,408,416,395,323,074,240,464,175,386,208,603,866,645,
414,537,759,863,628,556,442,066,244,952,515,837,798,571,926,547,903,356,973,
720,580,738,501,897,687,166,117,310,995,295,653,427,816,378,014,739,594,035,
386,645,244,947,173,407,856,976,735,421,254,837,863,735,316,284,741,188,324,
698,742,681,359,437,679,166,896,060,846,272,477,699,771,239,606,730,866,959,
111,477,899,316,551,927,423,760,464,044,891,658,273,899,490,597,117,826,457,
849,830,824,806,027,199,809,623,565,828,179,054,371,079,484,006,292,240,057,
343,267,270,373,363,508,673,237,557,193,394,487,813,720,274,710,184,403,366,
398,229,275,086,083,135,588,452,866,991,568,622,601,235,948,894,803,976,776,
994,720,341,948,696,123,721,199,746,574,504,096,590,950,698,007,857,374,161,
242,150,689,235,619,523,211,448,101,111,723,024,112,390,500,494,541,847,372,
199,840,022,138,953,904,879,098,153,200,166,883,977,365,161,839,664,696,355,
617,952,733,114,812,823,283,434,880,863,233,107,397,858,988,911,743,543,523,
645,633,442,583,132,175,736,594,643,244,949,785,302,737,199,893,485,906,687,
898,156,712,759,868,889,860,349,920,024,247,513,981,597,322,695,121,714,995,
655,737,970,394,665,996,913,878,747,337,049,610,209,084,511,478,205,198,555,
355,554,035,470,566,100,597,880,509,411,471,500,576,143,900,394,821,903,923,
856,601,737,180,728,374,354,630,792,380,402,718,382,638,164,897,228,946,441,
056,731,815,098,368,140,600,966,652,078,424,182,764,963,983,249,078,661,387,
767,889,844,137,742,719,421,422,185,713,567,401,382,125,796,594,342,420,047,
104,412,050,506,391,301,410,498,079,641,538,997,194,040,361,072,929,675,771,
096,540,205,678,159,804,125,396,347,423,463,401,492,870,611,784,819,976,825,
331,333,608,716,080,543,519,170,864,954,061,247,373,130,887,993,790,736,521,
751,203,430,478,945,288,731,772,660,494,023,919,923,166,385,888,881,907,283,
414,296,149,628,021,732,790,837,351,033,627,062,279,022,974,963,703,022,654,
134,123,426,785,665,856,521,315,093,081,619,750,415,419,909,381,234,932,572,
193,007,811,049,161,259,834,172,295,181,020,419,092,806,555,860,534,899,413,
645,502,137,805,790,153,123,521,623,132,683,851,057,147,616,737,537,031,798,
134,372,727,134,275,509,086,156,402,417,894,514,092,543,277,922,266,587,472,
116,001,277,190,175,636,156,360,154,872,608,276,021,045,452,252,891,772,212,
150,729,595,154,470,305,931,808,245,472,965,271,200,877,708,635,298,480,636,
157,905,096,244,882,176,469,883,475,932,811,414,241,483,703,979,366,583,662,
519,681,618,491,945,585,841,269,254,234,670,411,836,809,507,672,425,088,574,
944,929,115,790,595,488,864,421,861,650,267,178,272,834,329,006,923,812,841,
463,062,857,789,268,763,321,288,296,519,300,964,591,333,029,371,751,376,029,
089,634,788,506,244,055,781,422,415,185,390,619,521,782,309,335,117,209,035,
113,704,642,282,843,016,005,802,737,422,541,871,763,397,618,418,667,972,645,
576,944,218,170,560,168,796,943,174,588,555,292,517,730,916,855,848,468,536,
873,442,095,600,350,957,521,092,346,511,120,066,380,906,814,895,632,137,277,
778,796,069,402,899,805,748,349,184,600,356,574,586,992,911,080,236,306,958,
250,153,836,767,700,143,439,786,100,276,816,609,313,759,482,056,793,091,825,
340,756,390,733,026,387,096,228,358,931,762,097,228,406,749,639,903,671,228,
441,660,298,169,033,655,526,302,539,563,113,712,441,870,389,786,522,278,814,
243,416,384,427,721,034,270,497,801,350,240,364,693,609,329,568,731,141,902,
579,326,721,480,822,675,976,169,318,956,561,966,315,778,816,932,641,103,546,
835,142,827,507,910,700,185,829,644,086,269,336,174,554,257,667,121,258,889,
576,709,052,906,277,107,631,638,270,168,137,261,892,646,002,616,392,662,386,
007,125,377,175,901,958,101,014,807,561,383,400,062,521,530,984,727,739,816,
632,963,823,523,246,784,681,293,995,838,808,810,740,162,214,219,929,153,164,
335,385,623,074,775,281,349,982,560,108,074,348,900,645,694,804,004,208,646,
544,787,890,334,830,090,663,711,634,117,103,025,916,697,238,135,496,328,671,
292,955,215,887,505,876,354,502,481,875,344,840,837,197,439,031,566,738,236,
886,448,470,782,550,171,144,184,908,243,038,740,575,464,067,041,982,038,008,
526,839,090,911,990,434,066,064,635,671,314,131,047,509,154,236,515,027,361,
124,851,968,363,285,091,612,502,197,376,280,468,037,873,295,430,673,867,815,
637,192,810,571,916,498,472,647,543,725,142,428,874,453,066,515,072,508,049,
365,697,493,656,826,806,725,600,770,979,431,511,777,681,756,633,079,090,381,
163,866,016,771,564,475,752,434,797,908,387,378,810,131,959,179,929,328,827,
235,301,881,006,870,870,836,258,768,224,809,453,031,725,412,902,177,513,277,
756,734,614,751,313,258,597,158,241,752,442,415,185,178,033,548,063,904,174,
810,106,681,594,179,610,607,899,113,197,554,481,558,529,758,309,451,335,283,
686,758,063,494,587,466,714,318,727,438,152,983,565,546,964,993,531,683,423,
186,094,894,674,267,709,604,108,609,234,087,136,945,519,937,559,177,989,807,
208,230,095,039,186,367,140,051,863,502,279,181,943,336,642,124,100,855,552,
566,343,389,144,648,996,072,003,043,037,517,303,842,722,945,956,807,617,937,
899,162,955,951,432,685,737,578,687,988,151,480,759,336,017,696,191,761,863,
596,536,510,565,117,254,899,163,622,655,653,725,725,691,420,618,176,977,824,
512,014,667,595,902,536,678,350,040,006,888,721,952,717,821,748,086,916,787,
773,500,116,180,012,010,062,302,163,159,017,522,310,699,440,631,444,797,898,
428,039,628,888,058,566,494,969,604,357,470,412,440,514,751,538,927,447,900,
346,292,883,755,709,052,214,803,699,794,613,304,340,152,518,957,715,986,830,
105,561,960,285,599,157,936,769,411,861,491,995,862,202,729,374,928,062,242,
869,888,742,152,613,295,250,314,704,542,403,551,433,173,538,002,047,769,679,
074,544,164,444,495,534,838,606,731,822,763,847,611,036,331,449,064,582,260,
684,917,103,215,562,669,663,935,228,882,197,425,955,331,525,823,016,547,074,
393,418,782,406,135,561,898,325,482,724,777,208,158,198,783,343,964,127,159,
195,019,603,316,116,255,293,132,686,637,154,833,749,627,829,725,587,834,246,
470,946,619,808,240,362,918,893,787,433,613,930,996,382,037,701,771,207,002,
219,354,885,693,931,461,728,928,300,241,443,987,325,429,693,322,234,931,164,
388,805,509,599,485,077,953,929,202,414,897,640,252,336,040,742,368,342,459,
701,069,120,891,274,839,953,840,000,028,933,438,887,878,437,651,304,666,049,
258,774,883,892,902,525,439,345,294,893,483,514,391,814,697,346,411,991,117,
019,285,061,181,778,665,089,830,088,062,843,903,107,918,296,444,417,326,350,
414,290,656,506,558,333,057,455,253,746,765,655,059,886,338,039,114,829,975,
660,498,244,662,555,615,225,058,848,610,063,923,358,225,551,985,740,051,495,
752,903,585,320,526,572,463,440,326,533,178,587,194,683,478,526,872,481,578,
553,269,384,915,213,583,945,270,196,952,958,174,471,457,974,704,831,787,461,
753,636,544,992,563,730,621,034,259,306,699,586,728,440,009,312,004,643,075,
798,406,088,062,226,918,426,727,952,217,140,209,399,246,427,770,920,876,704,
484,202,202,004,169,047,799,950,543,286,475,072,549,980,653,634,561,201,504,
338,567,912,677,406,974,203,572,370,079,230,401,676,189,971,197,905,899,889,
391,097,403,104,616,117,943,685,841,330,018,606,375,164,964,114,106,667,184,
457,228,977,200,936,328,450,084,680,684,650,065,786,293,548,650,346,140,279,
582,835,510,814,464,724,816,612,954,431,273,257,664,432,456,566,319,220,119,
786,915,856,453,167,623,377,116,166,564,705,012,318,105,541,350,088,435,972,
765,616,338,656,435,892,892,521,893,036,999,766,679,594,251,712,163,418,845,
133,994,960,088,341,808,159,110,903,008,797,639,501,659,718,927,429,489,780,
688,051,250,993,685,788,171,724,557,675,959,863,985,280,203,449,573,972,614,
411,221,674,276,565,047,752,101,180,665,266,322,690,828,978,627,398,792,309,
039,971,055,459,999,000,261,907,182,450,226,404,616,054,048,505,893,892,583,
868,670,469,322,400,042,237,277,540,271,783,777,810,470,545,311,601,782,213,
935,381,247,436,202,012,514,647,975,505,404,191,203,058,437,695,835,597,586,
855,714,653,923,444,235,891,628,879,029,096,546,123,731,262,017,569,423,715,
572,749,902,709,175,861,744,758,094,831,907,693,468,862,497,225,482,285,878,
180,781,264,562,497,969,061,278,311,945,446,366,616,245,949,670,661,335,720,
417,670,236,585,812,754,594,763,337,149,520,848,280,147,632,236,585,773,161,
186,531,488,834,827,920,089,187,617,590,490,626,992,964,151,963,819,127,544,
031,768,186,406,904,596,697,764,783,819,903,334,224,521,525,717,990,194,640,
161,972,776,896,893,019,492,092,314,289,687,769,511,297,179,010,089,285,564,
694,017,053,928,048,113,450,405,987,487,981,555,415,001,949,440,915,260,796,
761,376,638,008,911,781,722,154,526,377,809,918,954,897,119,080,771,244,094,
758,277,985,860,542,640,755,786,398,034,764,950,537,895,868,451,084,902,221,
786,927,739,514,519,033,516,858,634,389,712,725,522,595,399,574,232,993,216,
649,556,545,805,881,083,565,857,665,346,123,653,525,355,848,957,623,587,014,
307,552,225,535,441,781,619,280,133,264,252,096,356,568,981,044,424,203,995,
386,813,197,576,749,167,909,145,085,601,542,218,912,875,810,025,632,088,179,
893,150,987,357,011,752,713,681,656,411,360,387,658,641,286,296,812,223,688,
116,958,181,320,801,747,417,816,957,932,596,792,389,392,563,783,696,774,080,
531,480,060,146,584,210,689,683,136,593,249,271,370,340,531,829,073,575,111,
240,316,043,472,339,142,318,946,537,477,098,888,396,235,975,137,161,099,178,
277,239,452,058,397,308,723,638,550,307,469,271,768,203,144,674,649,583,202,
480,882,273,789,896,464,306,226,259,299,105,414,478,205,002,396,786,438,201,
440,106,947,153,313,422,524,286,687,018,808,983,402,624,026,439,926,076,437,
300,416,620,941,265,239,998,994,692,277,558,905,998,318,223,602,846,780,121,
835,138,271,424,239,704,071,104,051,911,961,875,149,374,219,506,995,533,613,
895,172,251,540,133,432,783,672,109,657,479,623,920,191,199,655,039,323,202,
206,614,465,087,986,603,315,247,344,668,039,914,760,560,380,600,286,309,055,
734,407,528,671,088,986,973,974,246,191,931,165,906,512,412,786,241,905,588,
458,496,901,638,108,100,340,888,837,001,141,294,698,596,260,533,656,434,767,
078,960,761,889,120,559,882,478,371,386,067,782,308,780,281,033,497,723,169,
769,310,928,098,016,805,123,147,778,587,235,265,441,107,495,326,962,933,863,
932,717,225,187,510,757,220,695,905,356,697,746,902,726,220,300,820,731,561,
683,527,794,382,815,154,757,696,432,516,713,644,715,476,966,945,210,519,697,
656,638,831,522,611,439,803,064,746,839,162,031,246,697,971,598,772,066,764,
818,007,283,717,387,164,644,542,638,188,289,007,944,239,385,434,657,622,449,
230,184,371,954,050,739,908,950,449,996,162,848,408,766,416,257,432,060,737,
331,524,715,051,267,988,728,866,827,471,353,848,489,139,543,260,642,202,826,
471,211,377,532,455,468,992,546,897,681,461,167,683,526,279,272,432,816,952,
495,893,501,375,791,913,892,560,863,640,359,239,406,068,369,782,061,965,156,
874,121,775,954,530,765,415,444,967,685,899,653,906,292,913,641,697,642,623,
977,489,694,243,728,026,579,059,826,962,762,540,153,702,750,941,269,867,263,
704,632,201,102,990,723,976,110,746,882,636,707,815,710,492,144,648,954,710,
008,566,209,799,069,150,632,189,214,030,300,567,230,815,532,674,681,600,419,
903,335,835,142,388,266,449,904,957,801,109,568,418,113,108,866,424,251,574,
584,311,088,769,369,691,884,215,074,530,194,302,978,412,477,702,232,068,869,
305,929,473,618,117,202,511,591,238,233,373,753,132,890,542,982,193,301,955,
667,524,792,158,244,811,754,147,461,988,861,568,491,038,481,705,271,680,925,
668,477,552,368,598,769,010,672,949,308,594,561,313,353,240,566,645,874,453,
865,541,654,457,707,385,630,967,809,235,622,608,292,667,505,726,530,298,067,
802,246,184,713,404,695,221,698,801,159,518,008,805,108,358,571,216,126,835,
672,650,211,210,175,918,990,322,973,664,784,053,740,855,214,496,137,479,206,
805,778,255,709,099,302,224,699,989,691,188,897,999,544,245,108,784,161,382,
815,375,744,117,423,045,888,466,137,140,940,084,777,806,172,081,397,051,101,
440,647,388,183,990,887,993,447,517,315,409,856,370,614,811,671,457,376,785,
838,705,381,266,183,436,279,880,721,830,133,799,210,120,595,998,529,691,187,
192,821,154,012,803,714,662,136,136,207,752,359,124,244,205,841,203,805,400,
639,364,867,528,247,820,598,991,745,027,835,172,444,499,469,882,835,702,822,
759,327,409,921,455,951,605,712,043,328,089,997,801,291,262,218,131,890,282,
246,391,681,377,281,317,494,771,129,864,347,992,912,030,694,400,044,044,672,
581,430,820,157,097,539,380,898,614,246,520,438,820,461,172,078,114,637,659,
328,370,992,352,829,982,149,580,685,441,213,572,170,569,723,311,684,004,591,
121,353,403,696,953,188,148,541,262,203,372,641,458,317,666,270,912,033,721,
581,763,859,657,049,685,795,987,802,506,340,371,975,018,992,893,930,906,683,
644,383,576,300,165,486,283,055,723,701,115,134,267,064,262,450,226,327,090,
074,372,665,337,496,564,481,567,432,647,006,828,606,246,648,838,767,874,108,
516,913,549,925,852,531,855,885,279,752,176,792,045,825,490,717,283,545,115,
373,031,441,568,147,021,183,474,072,885,638,943,815,185,866,545,476,635,576,
422,142,511,846,946,236,660,167,730,913,056,063,980,751,906,620,598,903,576,
006,795,538,068,414,601,276,275,562,571,973,480,716,921,646,772,743,718,508,
814,106,939,903,945,377,494,704,857,889,225,246,012,421,593,560,360,078,545,
841,736,241,284,449,243,695,385,808,414,448,344,688,768,376,641,584,750,659,
674,732,285,871,280,293,119,797,245,180,867,201,283,715,803,873,433,866,573,
679,141,619,472,653,270,149,628,277,584,119,404,213,952,306,496,924,226,981,
068,407,271,167,906,017,272,434,479,770,613,459,542,427,277,820,178,498,032,
473,636,581,443,882,565,682,879,630,335,622,099,622,935,301,227,763,309,657,
608,663,174,996,560,644,423,476,025,622,296,830,179,009,327,271,530,777,441,
764,148,035,138,788,728,295,052,494,891,697,423,985,667,978,321,137,262,010,
025,390,232,464,948,486,454,942,148,127,178,360,555,718,240,945,243,293,445,
854,356,471,849,593,349,733,151,439,437,526,292,443,237,313,428,817,973,261,
912,665,153,022,573,206,472,901,964,937,047,954,995,739,982,169,386,874,239,
748,398,462,714,843,402,424,593,783,570,038,082,745,443,081,442,976,660,198,
273,261,952,085,947,439,068,808,916,767,391,250,671,004,488,488,688,010,016,
247,085,125,614,460,851,876,993,008,329,394,404,002,121,662,076,972,138,146,
877,328,559,840,884,284,914,753,663,905,040,225,798,787,392,404,861,064,391,
935,378,677,158,604,302,247,618,853,585,446,055,171,891,269,217,630,002,727,
038,574,491,084,275,371,127,408,414,722,119,579,510,518,651,120,592,670,839,
409,272,786,794,850,418,690,042,837,781,389,020,566,956,055,904,097,648,570,
262,539,156,998,002,107,900,184,828,463,423,559,478,885,913,085,513,040,095,
660,284,079,345,430,193,926,534,071,654,818,512,034,062,154,961,622,930,619,
810,571,987,751,564,078,836,338,481,661,372,222,035,530,892,643,856,074,464,
563,343,686,504,550,529,844,028,160,775,193,676,475,066,122,559,790,822,344,
457,064,424,318,487,904,462,655,101,768,706,011,766,309,468,512,747,074,940,
026,415,359,019,439,726,918,737,566,791,188,041,952,410,987,683,305,320,252,
321,627,407,664,626,953,266,735,317,437,769,632,497,287,041,285,695,500,317,
347,250,998,962,858,470,177,727,631,203,327,706,392,534,210,149,372,043,373,
360,137,924,339,380,076,607,743,852,424,742,240,654,022,363,586,391,875,400,
257,397,748,672,079,242,924,318,901,569,200,156,462,872,152,648,710,226,081,
202,471,837,015,434,257,821,981,742,073,279,018,321,665,095,636,583,522,358,
754,439,035,136,688,588,002,193,513,422,106,010,787,216,271,540,415,352,544,
918,722,735,753,104,071,269,230,053,674,768,873,014,207,872,138,982,565,744,
654,902,652,910,649,516,872,300,561,667,973,518,794,640,727,665,489,134,126,
666,818,068,255,080,673,149,945,517,155,544,648,167,540,561,476,606,721,775,
416,444,931,596,512,935,433,759,675,901,890,435,137,887,734,592,953,623,724,
473,462,184,756,904,748,351,582,548,402,647,654,314,909,390,024,911,010,707,
234,194,786,968,726,932,816,386,440,261,492,233,660,341,627,104,073,787,355,
724,785,253,038,508,242,693,119,422,832,457,160,565,372,408,575,186,346,000,
613,997,041,498,259,572,717,341,191,118,761,508,725,368,534,844,634,230,699,
920,305,798,906,899,388,591,358,451,737,803,223,799,826,137,415,516,123,405,
304,851,357,100,916,768,251,634,612,060,069,091,470,202,289,977,453,677,136,
787,941,240,448,014,728,782,933,453,079,237,851,959,950,259,773,575,546,134,
448,815,839,626,430,587,439,289,344,584,508,271,110,693,908,387,915,131,849,
612,150,245,060,031,517,934,378,658,891,832,364,351,897,551,164,181,100,856,
460,302,679,206,011,327,362,733,679,224,943,278,902,151,172,059,159,270,374,
189,329,133,794,465,634,006,518,755,808,186,235,777,837,080,471,492,957,414,
560,576,742,062,307,524,773,464,702,946,530,888,676,423,042,805,932,176,137,
820,163,038,627,895,321,239,056,119,700,460,189,844,213,415,332,071,060,616,
796,034,632,561,334,662,139,309,549,860,723,638,438,020,303,079,714,336,362,
766,171,165,830,695,630,627,018,013,477,807,304,785,354,407,734,110,504,619,
740,540,021,327,192,884,062,774,349,627,661,597,428,681,891,588,243,284,294,
748,779,732,730,511,934,845,658,235,432,633,121,590,411,534,189,936,128,961,
477,278,989,593,616,340,269,445,461,078,291,311,477,697,613,718,997,811,733,
202,907,321,566,362,303,868,903,530,520,640,751,070,876,451,304,488,512,348,
543,021,331,378,364,726,111,482,286,553,164,829,299,799,133,679,935,908,292,
255,436,414,892,320,365,718,374,444,737,891,895,475,038,204,314,937,394,819,
254,286,739,311,168,050,993,666,585,616,579,045,088,230,463,653,613,270,744,
567,823,887,761,552,204,072,159,214,841,454,678,504,812,129,376,244,923,959,
574,788,373,701,193,822,534,537,459,039,486,863,127,679,294,605,177,823,240,
843,679,558,354,294,017,864,078,720,958,315,831,935,625,603,698,686,197,987,
859,192,949,256,345,027,351,621,368,545,550,465,807,793,167,798,616,521,509,
931,498,544,672,822,794,133,764,082,747,551,620,397,423,180,230,051,422,991,
472,053,056,518,781,289,387,901,728,050,278,600,342,690,210,379,251,685,276,
028,244,440,042,250,617,301,060,564,723,839,874,501,891,696,653,615,493,358,
191,099,993,139,076,383,050,898,156,703,282,805,173,735,811,219,219,822,537,
057,001,673,827,434,553,244,879,281,699,360,820,733,172,846,365,559,858,679,
108,817,559,553,250,852,587,405,493,673,789,766,799,215,687,355,851,019,675,
322,172,357,677,434,075,949,320,071,327,620,352,867,683,539,878,453,251,316,
007,161,133,273,889,298,678,689,850,392,433,171,217,536,346,174,714,659,529,
695,798,776,357,806,473,321,988,057,440,079,732,705,869,677,631,308,649,566,
239,258,192,572,659,630,492,567,782,552,354,517,380,939,844,939,503,848,704,
262,094,395,201,521,076,356,606,691,429,147,037,852,438,672,941,957,079,637,
366,129,762,353,958,709,380,160,757,490,368,348,194,163,681,915,159,006,604,
093,591,766,247,820,373,005,426,766,654,668,239,889,369,371,514,264,545,560,
649,769,322,392,137,799,375,525,147,151,840,371,038,991,999,214,363,768,303,
345,319,519,065,059,926,043,720,981,465,022,651,159,215,619,907,038,057,643,
843,658,578,295,264,058,481,483,558,999,063,091,362,383,056,318,958,875,807,
131,746,714,935,880,906,482,040,985,631,349,214,683,417,229,617,482,116,195,
272,755,717,947,350,628,767,507,423,657,427,866,835,214,398,522,691,496,166,
841,520,724,969,323,007,905,921,135,376,342,405,113,443,884,354,738,309,399,
745,184,774,358,069,244,989,914,729,984,372,359,297,138,339,657,066,427,310,
618,886,078,815,401,255,330,074,502,320,465,633,303,113,036,030,167,547,853,
388,262,910,852,576,475,158,019,712,785,878,621,557,462,806,880,348,549,929,
923,621,780,736,969,483,409,063,382,139,114,022,375,347,429,455,853,036,959,
525,722,443,225,560,293,462,091,344,173,870,223,058,504,771,221,596,949,988,
141,107,720,252,563,126,120,410,429,609,363,078,456,768,177,301,858,059,246,
575,675,734,753,511,234,098,416,145,823,981,103,575,279,142,087,542,206,745,
097,549,332,242,631,064,257,195,091,967,399,077,754,684,989,532,011,402,085,
547,593,295,914,770,796,547,361,780,682,593,439,605,225,551,076,727,872,180,
230,294,228,357,222,800,867,817,320,243,276,975,875,587,330,585,761,875,047,
731,242,079,743,253,638,135,191,931,527,743,310,670,192,743,376,132,531,488,
908,353,086,303,443,122,081,432,583,955,164,785,938,752,140,322,529,687,373,
247,844,396,721,496,612,336,166,607,460,265,333,312,621,331,918,932,132,122,
707,501,131,993,257,013,259,762,174,520,561,850,931,777,086,133,691,383,884,
440,756,879,532,367,816,596,264,474,769,800,923,307,049,554,500,367,124,823,
711,117,348,236,811,842,846,503,494,681,671,108,162,596,256,212,777,444,118,
404,872,575,080,520,435,969,871,277,379,053,975,140,136,087,983,130,040,259,
272,054,031,357,059,461,405,955,424,157,989,626,300,282,284,344,455,180,257,
029,120,118,199,209,187,582,525,200,486,633,109,778,549,388,259,832,186,742,
102,971,517,184,577,189,569,081,497,134,338,384,979,473,147,751,093,290,125,
547,567,731,347,683,303,497,985,170,923,946,439,312,146,180,186,387,272,261,
982,415,840,225,364,966,508,801,491,436,618,389,468,809,526,705,045,474,279,
324,683,633,025,538,111,220,275,737,085,534,544,394,056,813,153,070,443,657,
937,210,956,812,299,703,104,747,346,932,604,239,035,572,068,455,970,480,884,
587,259,486,993,236,441,257,491,979,381,234,330,668,606,163,483,629,925,599,
820,267,355,938,345,994,846,031,491,142,860,485,832,706,979,563,838,452,996,
109,000,271,772,385,666,465,455,509,257,033,350,108,598,243,378,895,322,064,
401,775,101,065,280,326,321,431,270,864,281,542,612,965,418,864,325,857,266,
822,527,114,537,405,251,973,133,016,060,195,802,303,688,834,782,584,641,732,
270,332,031,704,417,274,922,711,246,716,918,933,781,850,986,135,659,080,847,
940,305,349,341,759,912,273,838,857,196,023,928,658,145,065,599,966,467,033,
760,275,384,891,574,648,840,537,881,165,103,256,627,061,929,144,879,179,105,
300,893,002,746,043,918,588,496,107,354,665,874,895,575,361,850,667,518,050,
721,473,674,896,707,907,221,972,898,634,624,190,141,562,862,762,521,594,409,
865,116,135,344,941,954,646,875,250,623,833,851,237,660,130,279,830,239,841,
575,510,240,989,739,472,827,384,779,571,503,310,842,322,300,785,489,266,008,
623,160,277,774,413,182,176,385,747,663,431,614,434,589,616,973,586,025,246,
797,905,570,760,570,852,240,551,667,224,847,164,152,197,246,090,215,835,758,
017,711,152,919,717,175,356,745,911,415,751,826,420,236,320,009,057,987,242,
421,524,700,148,221,142,126,954,063,652,441,866,537,389,051,589,842,673,386,
648,036,362,187,611,703,887,106,364,170,105,356,366,852,278,423,972,169,834,
912,245,948,964,765,565,209,490,847,933,927,048,305,022,453,412,831,593,162,
858,899,394,581,338,026,261,571,959,117,364,308,153,698,734,080,429,342,743,
978,328,153,803,336,688,325,562,115,941,642,411,588,033,049,278,892,545,344,
080,967,271,950,636,864,409,136,368,950,287,380,696,475,588,611,457,205,796,
309,443,292,133,206,397,653,321,383,210,752,605,699,140,027,177,522,987,104,
414,590,256,596,642,969,063,404,708,985,137,651,157,850,058,454,402,765,461,
282,656,811,796,313,294,146,749,993,323,377,370,228,920,325,913,045,679,768,
980,811,259,327,745,327,364,041,396,330,437,193,666,304,307,299,108,305,828,
759,989,745,839,187,320,163,098,846,982,797,299,932,716,992,056,557,739,464,
666,752,951,722,156,157,929,269,170,167,140,695,165,059,891,101,799,497,766,
528,319,448,841,472,015,083,024,505,982,841,959,263,359,516,364,884,486,644,
507,865,957,562,378,118,052,123,675,248,957,747,794,845,303,562,312,386,553,
599,316,590,803,735,062,679,777,108,081,429,452,323,046,460,303,135,664,929,
786,253,597,688,678,272,495,757,779,024,453,808,731,397,390,573,398,858,611,
397,060,802,365,724,607,488,649,186,852,575,774,271,457,971,504,272,139,510,
429,256,703,679,940,438,066,546,131,152,891,185,218,245,963,118,696,616,041,
374,405,412,118,577,652,766,367,408,633,382,121,042,206,730,010,213,565,555,
778,365,742,562,732,768,854,949,339,200,241,613,794,175,778,995,538,386,799,
379,835,855,712,174,338,165,259,903,448,175,283,262,232,471,947,298,173,928,
034,043,315,271,672,374,615,371,288,562,783,150,967,886,766,778,545,847,910,
948,913,056,998,469,930,848,583,506,933,016,854,353,890,975,779,398,937,866,
109,789,048,657,598,185,891,668,043,898,052,003,386,802,184,702,584,686,617,
526,903,625,087,762,350,861,934,518,408,367,278,825,050,627,933,597,088,295,
874,117,827,349,922,227,611,129,003,210,749,912,611,190,578,817,257,226,211,
921,375,664,995,671,191,486,932,930,688,052,416,598,256,525,356,653,652,869,
466,628,235,129,277,814,411,583,069,886,270,158,013,084,944,414,454,209,491,
227,815,492,497,605,000,807,595,941,050,936,572,058,397,365,618,060,421,077,
052,586,294,436,209,776,818,053,839,790,038,457,401,889,089,285,552,511,531,
125,472,799,139,467,017,290,813,889,242,393,892,481,089,990,254,798,796,028,
021,876,036,340,900,359,901,464,153,062,258,710,389,257,892,995,935,012,028,
419,410,805,199,234,395,496,877,851,202,138,460,021,305,812,674,106,869,639,
474,187,612,537,841,181,979,624,682,687,478,145,399,942,152,042,479,694,956,
266,871,272,870,889,401,816,495,997,151,783,667,717,034,538,733,362,399,354,
241,382,959,717,794,162,422,403,669,801,270,475,255,193,634,975,453,047,511,
321,282,331,715,275,244,443,400,575,505,530,864,594,436,240,323,160,970,714,
197,134,634,673,004,954,648,203,405,212,015,846,700,670,561,794,714,097,014,
807,652,375,407,422,331,765,113,359,934,027,497,699,462,691,526,993,425,948,
509,089,296,790,661,145,183,427,357,184,029,022,625,692,267,216,536,344,533,
979,355,026,531,240,191,414,656,356,488,835,518,325,310,679,633,073,440,641,
092,461,559,568,422,698,107,213,679,314,260,417,200,889,693,302,845,947,236,
466,255,870,005,346,504,922,996,939,452,918,535,238,951,884,641,431,845,679,
628,725,099,124,919,983,560,686,164,816,985,841,593,267,012,969,625,987,981,
567,488,087,816,902,257,792,955,325,222,282,775,285,501,904,287,005,292,297,
111,228,156,246,149,335,579,527,915,484,284,438,824,590,686,206,844,980,951,
240,506,046,826,374,806,335,217,722,335,721,571,422,475,787,393,239,009,625,
059,774,574,208,590,751,574,657,571,684,870,697,386,012,403,764,532,825,074,
206,868,707,728,489,475,150,010,209,926,651,930,780,728,079,596,277,372,436,
489,192,312,636,300,783,930,084,702,962,058,832,118,446,663,803,464,011,873,
272,566,529,288,817,176,743,891,436,670,285,196,912,503,169,047,372,844,444,
936,340,896,336,922,025,349,597,178,198,976,995,672,646,455,504,308,770,584,
249,678,991,344,770,335,829,227,742,206,169,387,980,374,616,608,672,939,157,
864,136,186,333,558,364,905,223,578,836,029,514,705,422,508,425,135,088,133,
492,431,389,478,057,478,532,555,281,584,027,036,567,864,218,442,386,086,639,
476,569,661,567,692,778,107,575,637,047,838,308,282,875,458,727,971,363,371,
375,212,272,757,499,645,007,955,636,450,505,069,220,753,051,545,607,870,362,
382,819,540,763,470,227,684,473,515,086,414,420,169,064,421,524,207,162,052,
458,833,692,971,623,636,843,290,051,353,460,038,791,382,217,842,857,183,626,
480,590,458,212,057,432,162,758,257,216,204,009,647,092,527,566,652,910,282,
250,133,173,502,188,584,656,920,694,189,170,446,965,038,181,649,041,327,431,
041,082,802,550,884,052,560,959,501,394,052,195,423,174,945,764,420,003,572,
363,885,449,547,945,831,552,461,138,178,812,685,807,837,237,250,707,058,773,
357,322,183,621,042,574,076,318,201,057,616,450,775,781,292,550,030,822,508,
148,834,581,784,998,081,154,309,809,120,606,642,963,735,797,922,239,449,475,
338,253,974,823,989,398,619,153,614,997,519,502,661,774,496,891,071,524,394,
674,968,270,130,237,828,208,082,038,255,345,196,210,812,575,744,934,105,413,
464,940,322,038,055,800,123,602,181,895,604,319,198,016,391,037,080,497,809,
840,359,591,504,500,087,317,622,393,589,166,865,606,303,440,661,233,612,322,
516,827,178,886,005,749,447,873,489,420,574,216,523,873,523,789,530,792,652,
757,686,494,996,242,455,069,987,526,050,972,360,518,450,331,074,715,668,876,
905,312,980,910,486,903,210,666,989,924,504,600,165,966,629,188,409,340,830,
812,438,070,301,850,141,705,735,647,835,549,932,152,479,123,305,341,472,089,
126,767,832,492,669,932,243,733,963,815,175,793,473,550,136,527,308,336,085,
613,626,263,351,280,624,271,678,640,578,888,889,651,842,293,928,003,137,854,
831,834,884,386,944,471,666,581,982,369,655,277,936,786,956,880,142,976,015,
579,975,473,568,703,552,668,779,301,329,277,240,034,458,833,045,840,274,146,
630,567,830,844,917,441,828,205,620,923,587,776,459,418,614,144,173,932,218,
737,333,515,217,794,820,510,522,379,026,836,000,083,395,215,296,572,497,793,
161,221,062,895,395,431,693,721,375,497,466,595,160,036,769,947,944,500,742,
665,530,124,894,860,692,653,884,969,071,830,390,259,297,441,760,654,179,489,
938,008,875,872,136,940,223,088,161,811,513,719,842,611,685,257,309,288,348,
278,449,336,374,218,450,482,684,069,823,180,194,816,920,663,727,023,411,145,
874,530,480,224,719,702,814,041,218,924,203,709,167,740,690,483,222,787,917,
215,875,770,169,607,284,249,379,542,155,525,249,450,238,102,634,412,070,453,
609,424,840,265,424,550,652,539,094,638,582,573,530,789,098,690,435,519,352,
842,396,193,046,625,920,829,296,049,560,203,361,008,193,256,536,275,722,394,
872,687,866,335,694,897,273,278,701,749,605,172,589,500,402,731,886,018,571,
993,655,014,479,593,573,718,536,211,699,298,345,494,841,136,713,037,496,799,
875,883,885,595,208,895,466,180,627,443,171,230,300,103,601,839,068,689,068,
076,832,356,421,323,216,032,535,661,622,031,311,292,477,161,901,665,675,579,
195,425,932,300,863,374,160,139,806,631,635,397,777,820,154,463,784,838,954,
230,863,870,504,022,845,861,176,176,753,446,485,322,205,892,251,840,402,533,
535,321,104,343,766,454,804,122,753,470,165,585,291,663,633,781,648,133,600,
829,237,736,372,126,141,401,185,957,974,265,523,254,735,469,609,231,738,300,
848,534,015,005,525,057,297,706,492,953,043,689,199,562,534,061,713,506,996,
505,404,752,178,913,562,969,115,674,341,067,642,024,986,893,859,959,374,679,
057,484,654,021,522,886,525,718,577,239,843,170,153,339,948,585,701,483,161,
770,109,725,939,159,059,880,470,786,079,353,192,669,388,860,068,047,939,120,
921,757,193,110,833,785,423,117,694,022,485,542,787,911,463,943,637,928,749,
959,270,556,596,706,341,791,990,029,222,339,421,087,216,064,752,704,267,371,
071,763,652,693,148,495,779,841,798,905,284,679,052,241,911,902,055,970,546,
498,282,887,086,345,716,831,239,568,170,032,045,612,395,222,129,332,289,882,
240,331,681,643,535,933,210,205,264,975,542,549,631,889,286,981,372,369,015,
631,271,770,599,761,598,377,759,439,540,867,696,374,076,832,800,737,807,879,
129,504,501,268,214,031,038,386,248,688,918,930,224,373,056,490,491,967,681,
358,532,310,524,617,747,897,458,543,094,387,886,847,892,470,709,962,993,155,
769,744,382,205,916,540,208,598,199,591,386,846,361,705,557,399,303,810,487,
476,014,999,997,299,598,201,658,330,471,801,130,732,120,175,264,030,453,777,
751,335,129,662,495,131,826,861,688,340,150,573,727,828,418,980,687,934,526,
543,526,381,983,896,139,021,740,556,260,654,064,950,873,629,079,324,830,015,
100,414,387,614,792,593,758,583,192,594,918,126,657,609,308,166,460,201,840,
402,969,699,586,962,264,185,484,075,555,358,540,750,813,259,040,946,212,626,
376,139,275,942,275,268,247,600,832,145,830,246,735,450,742,308,755,456,966,
802,310,930,814,442,039,758,599,610,563,023,630,080,277,264,721,587,247,332,
345,068,172,634,576,292,413,128,244,759,647,181,774,154,587,397,453,469,889,
720,605,432,375,442,833,024,941,622,644,313,906,822,321,693,671,014,582,390,
716,256,246,780,107,683,158,446,733,815,444,088,708,867,007,215,269,615,307,
060,305,171,704,478,981,426,796,720,882,440,486,698,277,322,629,592,170,950,
804,655,505,481,280,688,553,082,083,673,586,464,875,964,279,007,371,023,317,
498,944,529,581,815,833,267,720,247,338,193,994,052,010,210,559,638,521,135,
632,466,897,565,558,418,182,901,474,243,419,686,941,087,504,581,340,797,492,
453,745,842,875,933,169,964,283,717,173,334,717,728,228,185,185,999,196,527,
628,100,517,034,960,645,494,817,955,286,569,205,045,332,599,258,710,792,344,
398,099,066,961,357,214,457,180,999,241,954,922,491,372,169,981,429,526,634,
052,831,643,966,453,048,826,004,718,610,919,657,510,015,715,751,196,663,539,
290,969,796,685,543,594,249,173,808,487,533,653,270,983,358,809,734,464,489,
001,676,548,309,813,754,288,600,030,085,333,351,227,171,495,450,009,208,479,
405,513,935,194,757,606,707,884,085,897,818,401,555,579,755,086,675,603,105,
915,954,272,983,513,400,055,632,193,162,491,368,413,997,454,472,029,333,128,
275,341,717,261,441,861,156,910,761,642,482,938,840,726,506,058,484,984,444,
802,488,256,174,145,944,991,217,272,030,739,819,683,728,323,482,475,368,109,
770,934,845,880,798,748,687,230,632,900,585,177,166,479,790,759,436,135,099,
481,013,467,022,841,331,409,331,215,594,571,123,215,400,745,172,534,838,227,
839,596,845,029,983,747,857,673,113,001,045,264,512,974,702,927,609,861,457,
860,715,097,899,749,106,029,557,339,328,994,988,092,152,054,690,967,551,068,
776,016,980,082,644,232,635,181,745,535,958,736,011,284,581,280,266,027,020,
913,074,455,052,901,639,522,324,296,024,816,243,160,450,231,956,999,750,634,
453,534,890,205,168,695,219,409,235,909,085,593,209,617,470,292,762,569,922,
637,590,856,668,672,125,204,037,399,493,734,997,963,049,326,031,531,990,985,
224,898,633,427,842,087,836,783,191,286,225,035,864,751,474,125,368,643,394,
582,009,133,398,332,854,602,110,251,926,089,143,152,230,924,353,055,446,582,
834,400,333,501,892,108,535,897,869,656,840,486,592,099,615,229,807,527,440,
265,207,298,668,629,855,098,618,043,919,021,454,443,164,973,245,708,727,688,
244,143,070,850,115,821,156,069,597,431,781,919,672,223,273,467,997,639,155,
207,618,386,564,178,269,955,238,349,971,560,743,244,911,710,148,208,659,376,
510,555,560,698,869,819,954,603,918,271,017,949,300,372,853,820,126,869,221,
209,574,813,591,448,319,508,782,067,768,358,543,641,465,624,670,295,948,676,
356,190,062,530,178,628,000,341,874,880,151,352,838,475,138,075,433,208,350,
588,072,838,645,282,344,334,830,269,774,647,193,341,253,881,395,271,651,150,
249,355,191,211,702,815,628,195,171,764,825,938,912,514,092,453,376,752,149,
365,446,671,781,947,358,702,274,715,650,274,138,653,084,338,062,462,689,145,
717,647,617,175,756,737,075,207,498,477,713,859,619,281,749,902,740,648,624,
369,490,329,848,519,129,569,761,527,923,940,458,294,770,833,699,934,308,935,
220,976,659,945,711,112,828,373,174,381,438,208,639,707,053,268,074,317,477,
328,870,432,644,244,780,602,077,044,365,513,478,045,163,560,251,949,109,069,
871,637,854,065,053,744,643,812,938,371,451,044,478,516,594,674,175,734,322,
098,573,321,423,881,994,648,290,911,450,022,261,848,744,652,541,167,653,673,
781,392,758,829,451,667,396,220,757,781,770,894,781,739,619,635,886,393,078,
277,759,965,880,123,252,837,753,028,751,583,855,666,727,896,889,129,342,707,
359,479,678,324,621,109,558,042,649,250,132,525,992,503,891,066,582,460,002,
856,235,273,106,506,509,531,714,567,274,313,091,754,746,067,495,683,700,911,
456,262,090,965,982,822,100,250,963,149,788,995,295,049,394,481,337,863,116,
067,820,724,389,481,638,319,931,456,463,320,084,203,313,801,914,346,688,283,
381,780,488,828,980,586,171,749,883,608,052,366,053,976,203,055,264,972,589,
099,327,044,114,244,758,088,574,298,796,557,867,171,954,322,792,030,577,695,
950,658,393,479,927,893,883,641,141,365,956,401,880,299,279,548,863,402,056,
635,315,738,759,376,073,154,200,225,981,567,385,063,586,087,734,698,349,597,
292,552,515,818,836,075,269,118,101,231,873,427,794,310,701,989,629,773,619,
707,723,917,433,739,406,281,393,450,944,441,965,506,926,352,703,104,958,199,
097,538,147,577,203,088,301,971,773,437,596,274,043,138,110,873,475,040,769,
838,655,542,866,305,847,351,417,352,846,091,461,888,706,484,720,716,534,955,
312,812,763,715,841,915,521,386,610,382,375,635,237,023,351,732,240,257,807,
036,337,619,545,326,907,222,924,403,685,099,754,445,381,811,979,313,771,007,
149,421,297,729,449,901,973,357,137,182,934,026,946,649,194,084,539,966,349,
634,619,823,251,825,750,295,434,780,019,899,513,739,071,686,029,942,461,890,
448,458,625,761,444,405,561,194,575,377,465,832,562,510,154,442,923,187,359,
621,613,442,383,363,860,101,093,748,849,533,535,060,991,881,371,103,504,046,
639,256,199,062,438,371,340,878,442,010,869,261,169,819,432,479,639,166,987,
276,607,095,452,115,964,924,025,827,501,439,667,536,311,143,461,490,590,152,
822,828,851,162,707,357,472,735,550,707,696,814,263,822,298,755,701,935,751,
595,789,599,881,541,828,307,594,483,318,788,554,431,341,654,378,808,458,280,
757,882,677,902,551,479,354,403,767,457,231,611,681,650,970,377,969,818,853,
195,366,186,901,111,924,543,015,151,450,703,023,342,189,391,197,282,251,715,
640,865,552,755,495,694,940,866,809,003,134,588,964,297,800,580,890,035,282,
392,565,186,198,008,519,121,809,633,000,892,416,423,270,587,967,485,117,680,
524,124,414,951,548,549,115,338,167,302,551,385,245,760,975,751,366,082,330,
537,335,330,374,788,326,991,409,755,668,699,555,918,831,411,728,583,007,749,
168,691,757,975,635,641,504,026,148,834,102,382,243,198,254,243,778,200,561,
284,702,610,206,906,251,061,111,609,896,899,929,153,449,753,721,425,590,758,
575,777,976,086,869,482,956,409,378,289,025,407,035,341,728,204,643,612,732,
075,330,631,199,210,995,083,658,344,003,147,201,705,601,864,884,792,196,598,
197,469,088,641,169,055,347,145,205,217,247,833,387,501,229,650,473,979,861,
906,136,937,600,877,876,433,375,916,986,698,475,801,352,536,824,640,560,003,
546,949,462,677,322,336,729,256,276,574,317,733,172,241,619,080,692,601,209,
612,521,184,124,289,354,612,709,323,592,925,651,730,291,232,712,040,029,534,
032,109,950,553,706,930,987,408,426,428,184,132,643,960,097,728,811,665,458,
524,026,575,533,312,742,442,681,649,701,958,136,620,831,166,711,552,203,962,
252,062,627,688,107,487,104,869,491,111,276,900,970,946,291,543,117,015,249,
397,003,838,565,693,255,088,422,440,937,109,755,242,422,282,690,153,407,972,
650,643,865,896,187,419,539,536,062,810,269,164,601,966,040,591,495,857,425,
739,058,331,006,616,573,216,195,353,458,132,156,150,768,026,921,569,092,677,
210,269,429,624,262,614,689,395,632,419,871,730,526,088,650,162,451,145,179,
784,644,667,972,277,435,047,375,299,016,162,470,004,941,915,164,025,329,344,
787,343,226,511,640,402,873,866,638,410,564,901,519,791,229,624,654,143,222,
163,822,129,673,628,367,988,997,379,363,765,840,556,767,662,950,344,241,821,
532,933,439,747,342,987,750,451,917,979,265,389,029,601,042,467,008,781,719,
676,011,311,781,083,943,315,684,326,277,200,961,117,446,382,776,924,548,735,
790,050,600,343,577,594,425,873,559,817,583,924,573,230,785,543,786,303,860,
172,395,197,923,814,641,486,094,907,247,230,952,393,221,689,945,352,737,592,
127,560,342,064,395,504,831,806,120,382,569,272,719,931,307,615,309,709,003,
478,295,291,229,461,916,447,936,174,380,153,577,491,563,550,519,022,641,286,
426,143,700,544,917,848,836,266,789,659,309,122,512,304,346,463,415,957,474,
472,604,198,835,859,162,917,505,118,452,170,886,815,728,688,057,552,953,051,
075,360,120,980,118,752,846,249,076,384,762,727,469,012,668,545,407,533,160,
689,200,267,619,464,573,894,769,540,671,632,118,469,572,551,265,558,674,198,
435,286,124,999,206,975,842,732,597,543,758,554,004,039,503,175,032,846,189,
062,593,148,589,753,678,840,793,754,328,730,594,511,287,421,136,513,949,321,
826,441,493,396,773,331,358,906,101,626,703,628,665,256,279,814,986,056,830,
539,651,388,799,850,885,911,821,571,237,664,280,836,482,511,032,117,182,076,
588,792,546,481,204,570,014,360,108,909,065,602,291,988,812,745,186,237,198,
866,645,070,050,036,087,806,746,895,691,369,926,636,370,538,829,163,576,830,
057,008,091,531,393,741,217,038,806,036,995,692,473,000,048,014,941,087,736,
313,806,932,494,892,074,690,910,123,820,121,473,336,550,227,041,518,434,423,
527,029,958,654,661,668,257,572,312,417,392,559,369,912,829,153,371,771,287,
884,004,631,708,312,531,179,602,948,541,159,831,048,474,726,649,508,145,814,
958,822,795,898,601,499,275,854,778,058,205,296,184,514,718,138,776,364,363,
116,885,827,453,892,901,464,669,986,668,587,587,056,214,669,931,363,933,838,
762,294,099,684,462,887,038,335,854,395,962,753,634,601,891,012,269,024,532,
225,902,991,116,428,321,302,888,540,701,395,968,336,696,464,530,077,559,567,
380,737,129,271,832,857,489,415,910,093,485,769,308,604,929,045,991,082,782,
304,493,765,872,957,894,972,818,628,521,221,542,326,776,019,235,001,530,941,
659,556,386,611,439,677,579,835,088,733,934,972,056,143,732,957,156,019,391,
945,401,094,992,127,766,510,951,696,294,392,223,039,278,019,082,355,021,236,
275,431,093,222,251,100,724,408,409,373,566,362,237,810,260,139,444,459,884,
849,138,594,101,783,734,170,348,580,166,944,043,960,822,767,437,992,344,263,
784,490,601,430,226,185,540,715,117,194,434,616,742,441,896,424,587,048,333,
928,923,425,659,343,335,651,474,661,283,777,339,268,439,843,800,251,657,692,
945,062,260,041,076,997,553,440,061,329,856,994,261,261,636,571,349,205,768,
273,398,970,309,445,022,133,384,340,667,827,476,122,166,060,150,928,425,780,
152,394,000,956,932,331,895,283,322,602,465,069,333,633,526,160,989,503,412,
065,201,634,548,229,086,315,514,579,639,751,353,783,299,437,575,527,447,626,
852,206,972,709,527,014,281,022,239,009,773,318,246,414,931,927,550,811,246,
911,856,263,117,469,214,145,320,656,413,612,953,371,727,113,075,868,406,864,
386,263,180,503,454,244,585,354,971,700,348,831,812,902,211,555,350,039,958,
203,622,130,593,756,287,936,230,870,182,088,257,408,182,668,760,696,686,213,
117,683,108,876,951,012,624,222,535,702,110,239,093,255,380,116,892,212,894,
915,396,586,661,125,780,659,254,244,666,909,510,838,222,563,641,233,411,793,
827,081,434,854,198,646,924,628,671,761,863,884,294,211,474,348,544,736,628,
160,015,780,728,127,372,477,363,960,023,784,375,544,593,139,377,819,483,427,
028,893,769,090,970,007,412,616,485,076,590,689,924,573,023,710,731,421,527,
852,000,238,706,854,013,588,341,393,019,899,393,609,006,937,114,646,948,447,
395,214,603,718,947,950,569,426,955,348,287,783,822,687,998,750,514,877,375,
347,140,006,580,976,925,639,146,850,255,521,084,736,362,497,157,475,139,741,
329,749,252,678,833,179,108,714,259,211,025,365,982,132,465,151,913,974,519,
251,674,799,661,654,276,020,761,247,863,375,104,107,387,636,738,247,485,987,
119,510,312,249,637,784,753,772,852,506,208,062,988,053,568,204,845,104,261,
016,299,561,779,846,229,449,764,544,669,748,100,301,542,781,121,348,412,839,
832,961,830,267,351,904,711,768,748,354,849,041,511,553,462,316,958,393,584,
135,460,799,942,337,465,078,974,645,761,858,125,159,335,979,514,352,891,697,
303,763,382,202,992,277,634,057,126,906,981,662,535,033,642,420,827,673,131,
936,227,436,969,088,549,660,484,802,476,446,208,009,093,207,558,951,319,417,
073,925,802,881,448,114,337,981,918,121,662,392,424,885,012,803,969,162,728,
016,455,984,523,892,677,903,549,219,969,556,971,950,651,742,897,620,924,438,
507,399,396,091,551,529,939,418,151,552,597,517,837,972,773,380,465,179,788,
713,521,897,756,179,494,118,967,564,590,886,222,056,963,959,610,126,309,183,
480,164,769,338,960,700,312,293,132,145,150,088,543,997,793,332,626,923,184,
837,822,331,566,803,362,128,356,465,876,770,986,100,463,451,562,314,669,702,
972,003,380,574,572,209,460,651,271,377,715,525,032,816,051,810,720,652,066,
080,820,944,691,347,297,621,756,349,012,109,196,358,404,800,477,324,968,422,
334,054,381,216,011,302,447,853,800,185,254,711,527,929,147,961,303,184,082,
215,473,588,152,394,595,852,711,656,951,154,905,974,502,215,423,940,782,087,
104,825,797,550,869,668,609,338,091,360,632,994,489,081,064,319,705,602,575,
448,751,125,750,777,264,203,731,414,872,165,827,767,995,197,487,107,185,313,
795,769,451,983,648,291,704,507,783,031,279,144,976,310,434,775,041,444,556,
616,221,349,941,443,353,876,458,079,806,010,705,907,785,716,208,048,574,506,
337,206,171,478,087,697,527,625,165,984,673,668,528,075,946,470,450,511,996,
660,625,131,505,997,348,579,796,344,308,218,822,302,618,135,275,795,422,138,
273,067,203,624,340,800,431,075,272,374,887,854,421,983,715,594,159,402,659,
135,856,880,525,349,516,126,384,778,494,066,822,481,495,662,678,178,697,022,
667,204,283,354,157,225,691,054,486,060,664,582,930,368,722,604,037,028,105,
884,784,097,177,128,283,564,245,550,602,489,312,712,273,092,223,844,608,709,
253,275,368,131,219,324,789,155,238,049,740,061,102,575,274,128,198,277,416,
339,992,235,842,661,455,448,595,196,982,609,328,562,051,774,472,683,014,095,
826,028,993,098,242,308,301,541,077,360,798,370,633,211,179,514,250,940,376,
580,979,515,057,497,430,924,999,235,931,703,332,982,370,493,418,921,987,750,
186,270,479,016,226,328,742,465,502,218,411,894,475,202,318,637,682,686,315,
090,222,529,869,733,504,160,531,238,751,893,596,634,889,887,374,178,626,165,
237,962,430,566,011,394,386,428,725,417,656,224,411,952,447,737,324,158,542,
891,951,957,391,899,795,914,863,885,971,477,460,446,371,710,284,340,290,619,
518,258,125,057,899,935,630,641,326,291,621,354,754,938,380,284,560,285,619,
010,201,963,114,972,789,442,922,515,676,773,957,172,892,639,815,122,437,219,
610,297,810,690,596,141,727,092,116,437,792,416,792,210,672,838,747,755,832,
711,064,417,945,551,163,037,400,396,640,391,048,907,134,806,063,995,085,461,
544,890,395,261,333,774,528,620,643,024,645,971,495,223,792,311,929,830,125,
337,062,491,934,439,446,322,323,833,036,793,408,097,380,221,701,631,719,009,
058,989,411,188,736,863,604,318,742,816,344,989,750,928,221,982,433,194,480,
370,425,889,798,632,560,865,170,572,453,360,567,285,662,402,559,482,964,631,
070,546,943,939,278,469,138,785,023,850,706,357,759,719,358,671,533,820,502,
101,928,274,626,091,241,443,558,321,067,271,677,207,543,569,062,769,277,800,
635,793,089,811,465,903,623,314,168,135,266,248,412,314,002,702,499,072,250,
713,971,122,268,821,755,649,084,275,226,993,425,156,506,387,647,722,736,123,
647,841,343,814,082,925,066,652,064,039,906,201,547,878,389,480,082,425,751,
558,131,961,499,965,543,806,564,199,352,869,652,587,411,281,227,229,631,765,
982,405,543,507,450,093,335,123,728,029,300,659,636,972,784,869,745,860,479,
954,676,651,384,378,639,243,837,120,477,913,235,757,229,722,038,519,607,860,
344,911,165,665,144,966,087,567,580,061,948,886,855,419,355,404,860,483,868,
868,419,533,646,839,110,120,662,947,549,310,338,628,816,044,172,429,095,857,
785,760,757,813,092,180,045,684,618,291,253,710,971,521,798,310,453,186,191,
791,286,864,648,341,790,092,040,060,218,061,223,745,761,970,417,110,661,157,
553,743,972,687,938,557,348,463,225,913,858,480,344,270,659,023,918,651,450,
078,901,852,402,783,392,561,669,768,010,581,496,681,535,503,215,356,026,764,
618,564,961,289,449,220,664,729,698,393,807,345,021,843,776,325,248,137,788,
326,394,946,205,628,041,370,438,040,732,702,660,551,114,607,537,904,211,361,
111,795,109,031,160,966,896,684,036,170,955,624,553,433,770,549,103,947,991,
179,784,478,034,914,677,026,183,587,082,827,531,801,516,622,823,555,538,668,
413,793,998,118,833,114,376,812,946,476,789,441,377,781,722,201,725,293,135,
074,892,827,117,020,125,541,051,973,013,897,909,248,601,579,076,906,806,256,
828,094,629,499,681,935,689,204,585,624,463,576,036,989,092,140,384,208,291,
118,495,369,313,283,711,973,412,033,455,424,930,388,777,801,066,285,311,746,
663,610,354,203,958,373,435,655,140,329,704,332,881,333,669,600,706,637,055,
437,256,197,177,825,187,836,461,358,889,452,846,478,165,646,997,685,684,132,
612,858,990,480,536,695,391,863,084,532,902,328,250,974,635,905,418,066,293,
983,142,870,577,810,966,658,417,510,058,501,914,359,698,909,057,940,472,025,
177,173,564,198,707,342,939,693,360,362,523,286,864,919,269,024,412,214,937,
445,494,632,633,721,034,339,557,933,817,906,127,564,346,116,152,275,165,181,
773,109,075,827,397,782,132,575,954,420,929,643,698,310,363,054,861,866,345,
886,594,151,435,296,166,715,131,990,506,693,806,989,921,823,046,030,819,544,
242,892,985,962,341,632,952,106,739,598,710,073,793,070,533,719,615,655,611,
850,820,733,233,913,275,974,940,379,550,080,662,921,214,871,423,664,907,568,
130,872,883,911,200,614,116,410,877,962,859,928,347,095,650,567,547,894,815,
508,859,527,694,106,552,979,305,848,453,474,983,043,865,767,822,302,665,830,
843,844,148,517,927,051,109,986,259,623,489,266,911,203,547,513,446,649,657,
788,086,135,563,907,761,337,081,327,399,119,219,708,588,409,767,876,331,374,
725,082,853,430,097,356,659,769,652,559,219,569,157,860,187,841,452,113,459,
467,559,397,552,730,568,390,777,395,447,384,841,408,469,117,238,053,261,367,
438,981,801,705,920,168,355,622,554,229,543,988,686,082,637,199,155,574,677,
785,225,176,627,059,562,346,196,488,812,430,902,995,245,584,474,832,465,862,
425,859,259,198,062,779,219,946,074,720,935,989,953,029,338,327,072,424,375,
742,113,794,081,556,684,669,842,585,579,328,431,507,208,589,387,355,911,861,
504,008,799,977,712,142,704,301,901,484,130,453,073,395,232,698,568,417,409,
834,854,090,017,557,954,322,678,922,659,176,733,616,325,825,534,990,122,552,
355,190,887,098,069,804,314,556,705,438,785,547,751,225,957,609,943,580,222,
609,981,531,521,699,545,510,140,122,460,026,467,650,390,565,935,121,202,889,
935,959,187,474,691,581,955,368,210,004,452,372,426,387,140,361,360,561,885,
864,110,909,559,638,567,415,315,995,092,425,734,432,606,803,468,293,539,461,
282,981,580,274,819,112,364,030,435,777,048,775,973,139,633,350,657,394,378,
116,591,665,852,840,639,609,784,437,197,767,832,014,838,165,534,105,105,768,
838,510,843,269,457,144,126,821,316,557,534,412,216,110,801,005,062,196,441,
777,395,439,203,737,432,308,837,008,841,683,525,136,916,567,756,296,397,061,
682,271,961,613,666,516,973,340,807,687,779,337,509,415,528,663,217,797,637,
983,248,501,660,913,294,178,288,024,619,272,881,508,693,317,317,356,476,498,
808,268,732,418,657,616,736,075,237,803,839,073,742,723,615,408,735,172,237,
284,268,944,694,067,433,097,069,085,118,080,859,214,225,755,529,365,324,539,
461,298,364,618,641,598,966,109,487,772,208,751,012,335,196,384,435,433,957,
115,002,266,029,676,416,209,396,167,484,627,086,085,594,596,149,619,694,159,
644,686,182,859,449,360,303,814,052,307,185,768,475,772,545,667,976,290,773,
645,745,574,309,919,885,564,137,233,445,430,203,300,452,808,136,326,434,145,
878,547,787,202,580,173,498,972,744,904,411,828,730,431,412,322,544,030,915,
985,601,661,493,319,154,925,393,522,019,475,407,908,190,343,807,597,880,081,
162,179,821,737,864,714,567,892,276,109,410,788,328,202,209,268,656,407,407,
452,143,616,006,707,134,370,721,761,930,433,311,482,321,640,943,700,448,564,
113,497,994,254,643,818,340,883,764,272,912,585,335,045,780,619,052,540,355,
449,512,207,168,719,329,243,770,452,193,793,639,682,344,908,699,134,904,055,
101,376,341,007,201,425,415,228,843,099,584,544,464,342,666,711,168,104,145,
095,542,669,553,718,592,273,941,160,526,406,131,165,309,080,806,765,028,138,
324,960,688,316,068,236,116,925,839,663,497,006,435,643,445,476,205,850,640,
438,865,515,325,535,426,624,283,287,012,956,744,456,651,459,968,579,021,747,
834,244,554,573,997,786,419,192,484,832,750,082,199,390,887,501,330,546,326,
653,234,776,958,255,914,971,199,377,700,407,162,615,787,859,483,705,666,080,
659,429,904,728,186,550,776,834,960,981,115,808,035,118,500,543,894,832,126,
823,101,900,946,059,991,417,618,806,478,324,110,785,139,044,513,824,287,506,
391,599,131,354,515,392,877,886,004,980,047,705,752,562,757,013,402,487,059,
164,611,607,734,385,267,437,384,576,134,269,517,154,617,762,077,758,201,611,
931,270,093,169,325,043,431,402,322,499,797,056,838,776,927,165,119,933,914,
406,186,471,699,704,145,930,490,046,636,008,312,944,158,102,652,019,699,336,
962,728,119,988,794,204,588,547,648,951,325,327,729,141,570,309,434,924,823,
823,590,892,550,076,696,052,587,712,050,019,473,533,381,919,853,588,680,231,
027,793,665,118,046,692,225,793,358,183,720,811,877,273,423,401,676,505,851,
796,579,986,444,217,338,721,489,782,537,560,316,563,154,369,258,844,825,132,
336,527,354,687,793,394,979,467,270,369,881,562,964,342,948,019,205,765,929,
153,577,077,811,733,204,578,929,531,414,923,793,923,620,804,053,977,189,681,
504,963,832,719,735,696,613,930,045,255,948,729,765,220,134,777,101,699,148,
128,788,863,092,281,582,053,221,070,605,488,555,228,210,190,693,409,420,801,
656,944,390,458,899,437,430,834,167,973,115,705,546,547,252,635,665,543,147,
512,216,167,254,043,769,841,949,456,488,584,356,586,095,399,704,735,104,362,
828,675,780,467,251,764,901,164,812,750,942,326,124,384,498,579,092,418,848,
681,295,790,583,359,505,102,263,013,750,943,292,051,480,667,852,452,850,943,
823,468,510,140,002,843,156,087,727,330,205,844,045,352,652,229,859,532,063,
469,917,476,255,548,477,462,985,261,325,754,951,180,403,483,168,253,444,229,
879,662,623,467,902,837,680,810,697,704,900,318,420,874,155,543,385,939,617,
833,660,119,023,839,169,858,780,592,811,480,908,318,642,317,644,995,523,907,
076,295,418,439,995,579,162,043,307,410,605,000,367,088,221,073,376,196,542,
437,276,495,782,198,322,215,802,278,012,918,321,935,323,185,853,477,103,376,
698,759,300,025,098,476,326,107,196,968,822,403,738,987,728,055,675,903,294,
093,538,549,934,193,526,617,601,411,698,880,076,759,771,156,085,476,558,498,
026,721,062,361,830,949,614,062,127,957,635,272,661,642,718,707,709,588,777,
443,813,306,592,678,661,076,635,050,374,570,345,460,141,096,861,720,334,142,
112,078,892,001,058,934,895,811,114,555,777,897,693,364,452,463,311,679,295,
194,955,924,907,840,497,583,710,641,819,588,006,735,866,186,925,640,436,832,
759,609,651,682,132,804,156,654,934,728,085,744,346,688,981,342,592,042,131,
828,041,838,126,344,115,185,375,838,039,553,407,724,707,946,370,849,152,507,
156,681,681,275,001,000,685,937,601,244,961,634,408,244,795,311,310,851,169,
611,144,027,129,095,178,077,046,409,682,679,338,718,574,660,518,704,187,310,
889,838,255,078,613,859,058,865,165,640,988,282,962,541,853,328,524,477,190,
716,684,468,474,297,033,444,392,628,699,007,367,740,704,188,705,156,620,802,
355,847,217,567,895,974,908,608,021,473,050,954,739,717,217,027,657,111,956,
869,387,576,222,217,390,588,263,208,344,467,804,485,938,366,437,193,955,155,
507,996,559,110,524,917,682,493,063,818,680,393,709,369,157,883,791,944,639,
839,291,928,605,618,040,724,309,194,076,146,995,945,192,162,137,140,405,118,
831,903,149,732,483,499,852,047,868,874,279,621,757,839,078,485,441,684,164,
569,326,933,875,317,646,024,412,551,069,826,312,550,050,506,155,800,699,768,
642,366,664,638,576,862,045,200,746,813,703,204,410,631,962,711,835,590,820,
457,563,039,046,625,147,126,861,636,335,028,686,392,287,006,383,076,062,557,
005,003,750,266,684,448,250,321,409,672,445,410,585,724,606,256,601,093,093,
003,914,582,816,994,325,621,706,038,486,265,132,632,660,968,412,222,327,250,
102,083,809,690,702,124,161,617,421,367,952,187,725,834,548,273,572,923,108,
434,232,001,749,107,673,780,702,097,700,803,326,668,993,889,146,615,048,053,
331,992,656,088,690,172,368,662,418,550,082,562,776,256,369,274,049,447,823,
201,159,464,345,201,761,834,586,879,523,251,956,983,426,445,288,083,610,454,
821,874,690,989,484,896,384,747,538,387,380,353,647,746,474,956,843,638,617,
776,897,350,617,523,210,914,973,735,970,088,260,990,301,967,013,953,246,268,
775,708,048,650,423,449,038,124,879,324,179,803,496,682,172,355,284,607,117,
146,302,571,886,083,456,429,814,064,364,963,757,227,471,159,770,842,806,873,
022,731,039,425,112,540,675,353,730,037,712,852,664,459,906,039,142,563,110,
459,942,611,972,485,526,708,605,837,367,475,079,135,534,085,074,996,177,359,
015,350,337,635,636,387,617,057,980,237,864,559,249,928,915,477,707,188,861,
602,368,122,590,886,488,664,793,381,748,420,827,189,022,562,109,552,220,139,
339,771,945,743,801,267,063,024,802,129,341,945,704,426,098,751,002,736,992,
972,513,148,556,495,064,865,738,132,691,030,916,271,573,544,150,788,838,681,
761,271,478,995,804,382,196,539,473,611,393,235,467,562,100,808,494,047,219,
593,788,223,706,911,671,341,569,077,277,734,848,990,131,242,956,408,249,646,
428,571,668,687,966,286,530,906,844,985,383,142,163,716,134,596,965,319,881,
093,653,551,697,519,122,865,347,267,286,733,199,561,774,872,878,101,699,166,
431,603,109,681,953,962,548,611,028,099,041,053,521,788,327,547,824,303,854,
863,312,888,668,446,064,676,046,507,705,421,054,170,491,748,552,417,048,644,
428,052,877,574,271,877,976,284,644,613,660,169,687,288,803,231,110,726,732,
301,230,865,452,961,589,609,970,237,880,731,997,607,974,226,308,485,640,262,
778,135,507,835,368,989,129,591,244,970,019,533,766,749,442,137,238,886,337,
629,484,457,178,885,161,015,132,689,434,152,874,689,586,040,017,229,053,596,
381,227,552,756,770,917,911,546,054,377,590,341,481,599,981,143,026,620,935,
626,404,171,720,089,545,290,674,886,665,088,367,099,558,748,329,158,524,455,
641,215,449,863,990,656,515,762,551,805,698,900,319,476,385,049,157,635,294,
729,740,279,255,359,890,215,868,640,063,126,643,442,409,135,869,081,159,298,
944,190,145,135,006,344,655,127,972,942,828,882,964,758,351,754,899,131,735,
748,589,179,026,990,720,898,244,908,078,770,036,396,625,632,504,467,917,620,
874,482,976,934,955,616,895,923,827,653,799,243,484,317,293,771,579,115,468,
641,295,076,830,011,045,568,001,159,990,222,949,736,356,318,301,282,219,412,
858,128,210,773,184,407,218,387,781,855,563,084,306,628,451,575,461,803,833,
477,671,343,153,904,276,327,345,836,222,836,141,293,096,024,145,865,970,596,
052,461,127,879,412,609,206,666,626,860,160,472,198,109,339,947,512,394,111,
893,800,586,235,147,310,017,738,217,498,760,561,614,115,430,497,901,300,403,
147,682,324,954,834,552,772,838,001,222,749,917,061,917,942,524,363,837,377,
254,450,972,954,797,312,441,098,959,392,984,434,335,393,924,801,505,156,281,
852,066,448,851,260,231,226,530,121,159,302,000,489,733,425,741,806,071,260,
664,625,825,785,551,212,143,325,827,899,541,484,238,204,774,052,639,830,997,
694,566,540,883,067,778,880,390,286,616,425,566,360,188,040,954,477,474,347,
217,971,188,158,126,242,343,201,718,598,496,235,609,903,884,743,973,155,251,
879,279,268,375,971,584,247,268,304,164,651,919,214,890,640,274,912,971,541,
102,955,561,169,590,648,060,318,100,345,086,846,225,068,585,150,321,735,755,
562,297,352,080,942,630,816,497,586,426,008,235,200,459,379,773,607,746,586,
869,829,898,043,526,189,521,287,246,648,634,288,273,634,504,276,092,141,663,
914,605,563,212,544,402,377,767,349,604,588,787,437,522,448,066,342,872,259,
401,200,136,154,467,992,808,825,240,490,310,068,229,818,284,103,248,411,066,
978,604,506,007,609,370,972,281,673,152,454,916,851,536,611,671,828,622,667,
311,282,062,912,486,052,695,744,786,426,509,410,429,264,621,206,471,974,688,
978,838,084,805,080,918,544,282,203,480,354,940,515,636,132,451,569,413,349,
478,646,047,944,307,973,353,747,442,307,876,104,765,553,846,110,338,798,607,
038,266,753,205,389,955,651,194,174,213,520,874,510,994,397,859,000,713,478,
922,314,106,049,415,213,432,328,786,699,382,996,551,148,810,060,552,888,407,
353,918,736,428,753,044,826,727,284,294,114,848,398,417,339,145,946,616,856,
411,716,387,542,337,631,193,574,124,017,613,065,119,103,179,231,201,683,956,
377,342,294,513,550,200,416,609,262,568,052,814,305,669,122,616,879,042,617,
148,402,416,760,766,304,618,955,267,504,571,475,106,174,374,690,882,737,826,
226,917,994,778,471,726,838,211,015,375,583,031,208,018,295,030,209,214,062,
417,222,028,004,731,237,786,400,162,056,376,979,215,700,967,717,247,772,430,
039,207,483,824,470,031,334,571,263,478,517,525,748,782,544,025,813,414,906,
552,977,643,142,754,776,948,628,953,750,848,317,711,466,169,245,720,111,823,
908,837,408,502,021,103,847,021,679,300,213,021,564,125,957,391,100,473,822,
521,380,621,620,043,362,272,136,768,140,695,416,860,660,279,851,417,090,723,
798,595,473,525,084,028,598,400,775,342,861,780,684,551,509,352,154,907,637,
352,041,894,256,112,933,018,656,805,277,892,112,328,865,208,432,979,535,890,
629,647,849,712,048,087,459,264,037,952,185,228,331,208,431,453,419,695,595,
047,066,217,061,254,994,230,396,929,890,926,006,832,201,258,077,898,411,660,
146,974,561,927,573,416,271,686,258,904,715,408,806,546,650,553,428,458,820,
011,427,601,562,894,166,649,016,599,214,224,700,390,156,285,172,818,073,673,
448,187,204,869,332,699,127,395,176,995,809,132,040,653,713,931,881,914,869,
129,097,184,751,863,503,482,459,222,954,314,307,311,204,795,379,027,439,882,
712,577,533,896,534,863,954,044,411,166,325,459,114,157,022,090,094,715,405,
387,073,591,223,686,212,898,051,951,529,756,936,009,696,894,283,574,848,067,
971,266,596,000,361,958,002,692,980,214,636,857,095,367,112,388,706,932,792,
369,937,604,935,025,640,139,014,929,168,866,693,731,420,155,425,310,636,442,
592,867,615,626,237,221,887,146,348,652,528,569,673,755,817,783,652,948,281,
805,162,330,435,882,698,994,658,303,347,359,940,710,870,647,464,472,163,233,
766,173,440,633,703,825,442,233,166,352,888,386,558,283,517,415,039,276,618,
512,056,361,648,712,985,011,842,121,163,191,758,292,002,409,028,575,500,152,
068,566,595,901,249,791,004,838,028,523,177,441,082,563,201,598,141,745,481,
996,456,015,252,281,281,511,042,281,943,384,382,416,839,429,697,462,102,685,
804,778,661,565,763,766,536,891,852,656,085,010,998,996,516,640,057,364,398,
994,275,556,784,504,506,924,887,758,553,946,056,252,655,427,155,944,833,309,
193,024,205,937,441,089,193,171,666,309,261,628,771,935,893,704,110,323,702,
703,533,427,025,730,585,944,885,993,715,758,207,346,237,771,064,090,128,107,
886,742,515,320,662,084,910,828,162,998,026,693,246,755,956,185,007,568,344,
315,902,306,681,801,920,128,233,783,458,007,490,970,080,456,557,195,964,942,
251,234,359,683,991,049,404,631,430,673,857,843,511,126,777,359,634,231,239,
051,727,041,886,773,721,840,652,740,920,838,083,009,451,430,982,566,945,727,
170,729,110,769,123,453,380,612,772,046,749,456,029,804,469,708,136,610,836,
332,487,795,621,941,505,679,753,335,894,749,529,443,775,545,733,233,945,756,
892,911,571,743,005,553,742,458,939,748,097,163,809,512,486,225,394,691,746,
031,509,329,009,037,782,122,262,854,148,194,898,770,874,136,007,837,433,687,
922,469,572,322,831,033,472,322,564,926,362,175,049,820,120,515,995,126,379,
110,573,073,053,551,109,114,984,377,839,758,121,965,618,023,698,323,430,808,
523,899,353,432,833,007,232,096,206,713,962,618,352,993,786,021,378,250,731,
048,375,024,174,171,061,540,863,145,531,411,352,143,344,711,645,032,106,123,
362,375,147,095,818,247,679,432,931,590,122,589,681,204,612,917,879,146,615,
265,587,702,561,909,341,826,944,823,238,328,067,488,587,223,141,021,669,472,
591,581,068,715,437,915,099,836,443,740,869,257,942,139,106,878,466,427,808,
689,605,459,017,637,099,015,283,846,786,397,266,816,500,285,783,427,365,412,
032,050,325,756,441,724,667,266,565,688,975,942,663,778,008,441,526,282,203,
055,211,512,154,856,793,662,341,568,200,020,750,322,436,963,979,209,315,045,
184,975,346,367,476,270,992,161,614,682,883,445,514,421,005,456,190,562,061,
358,674,791,446,914,481,845,702,257,600,059,100,270,406,520,646,901,111,194,
444,362,543,718,030,452,790,904,198,364,841,605,101,674,012,472,523,412,756,
096,610,016,754,093,840,544,577,203,484,227,168,183,673,155,097,533,079,616,
002,169,047,802,214,686,784,300,083,142,756,569,391,804,876,930,699,490,159,
176,162,334,803,090,418,619,159,667,205,548,678,461,272,055,527,663,885,122,
376,724,933,500,103,789,769,992,485,816,027,728,220,167,668,317,403,868,322,
045,170,322,766,589,352,950,574,207,454,465,757,835,810,001,812,300,615,051,
064,313,079,166,485,495,520,472,759,075,635,511,268,257,137,253,952,083,462,
891,227,223,746,880,451,131,683,906,027,179,790,112,105,462,160,657,883,223,
976,095,042,100,041,708,130,397,800,009,587,552,092,270,087,753,933,627,488,
033,446,757,493,262,556,901,311,638,169,552,472,932,361,452,465,548,393,558,
852,675,393,718,770,072,971,346,953,336,186,252,384,265,213,242,029,346,190,
453,141,465,996,548,061,013,931,552,763,706,829,520,915,741,879,836,546,109,
069,659,483,539,895,542,877,025,697,224,868,111,892,464,325,590,902,295,643,
389,375,304,532,873,769,582,499,453,446,573,446,439,082,811,752,331,248,507,
330,825,825,798,285,981,223,575,777,387,121,346,035,269,608,509,517,164,312,
653,300,123,939,331,018,735,378,314,021,476,352,544,848,041,771,994,277,933,
365,919,850,539,826,134,316,079,796,343,609,173,913,660,624,696,944,084,224,
282,119,275,342,235,577,980,316,172,707,106,404,613,233,320,174,907,217,707,
391,107,145,505,500,583,558,127,087,647,033,672,589,952,370,196,963,579,638,
699,187,717,768,892,092,948,430,894,354,726,586,282,089,273,712,787,313,408,
563,079,592,828,852,511,976,326,710,571,021,788,619,833,239,490,797,300,950,
615,343,139,246,361,074,754,636,034,208,567,460,214,389,715,866,186,221,684,
188,298,515,992,316,876,835,290,333,732,827,852,381,690,442,431,347,632,136,
366,188,496,085,636,444,221,881,712,445,529,067,503,226,331,492,097,690,131,
720,634,048,718,537,106,956,331,665,518,531,873,534,023,568,895,607,985,039,
258,731,305,310,902,972,586,956,377,563,295,258,953,397,630,811,603,902,206,
495,998,782,937,001,600,219,205,091,015,715,909,733,396,330,020,272,743,788,
938,009,595,393,791,414,447,109,962,680,488,244,316,394,581,019,693,823,115,
551,099,106,301,850,945,307,185,727,303,872,405,252,294,724,941,332,938,970,
119,693,592,737,984,827,064,080,293,902,872,608,625,017,655,715,407,122,739,
983,647,395,714,648,123,161,887,849,212,030,493,838,622,768,162,874,228,546,
729,591,516,305,939,574,132,542,191,885,329,227,776,209,708,394,075,247,961,
441,639,127,943,501,130,140,883,310,857,109,133,621,347,733,190,040,408,226,
737,611,584,972,565,988,244,356,689,509,038,592,157,284,644,055,174,938,871,
025,822,794,286,541,071,709,551,943,871,758,369,324,147,020,895,409,172,502,
738,541,723,482,899,928,596,831,582,087,506,579,396,250,221,392,794,917,773,
590,783,116,075,581,938,864,929,760,234,684,880,158,412,107,544,205,028,984,
034,942,395,175,049,726,137,517,975,174,299,271,881,552,025,285,805,353,353,
408,641,912,607,032,382,285,402,027,314,145,486,303,044,180,091,362,632,197,
074,560,721,365,992,521,457,681,117,299,230,693,320,191,645,551,329,245,484,
857,828,527,910,300,306,535,871,110,259,629,210,246,244,922,207,233,960,037,
455,271,736,576,053,602,773,244,190,580,954,780,418,092,882,643,459,758,831,
693,482,353,292,488,755,757,441,818,168,410,996,957,876,020,240,757,253,127,
572,768,601,238,502,311,456,985,504,712,436,606,684,129,687,821,568,610,759,
790,829,801,763,557,562,866,931,734,357,746,572,499,790,636,430,092,866,475,
942,199,881,880,113,382,820,058,872,181,773,420,695,736,677,286,421,806,101,
757,041,052,169,651,966,205,055,288,867,650,503,933,721,131,847,270,800,255,
401,320,708,945,239,068,061,383,912,886,338,052,431,380,424,612,206,895,761,
043,836,911,259,031,732,713,822,377,694,695,209,611,681,724,273,859,986,262,
540,631,420,742,203,710,515,295,415,620,957,456,701,147,697,716,270,068,164,
677,980,863,510,575,519,998,808,084,947,156,759,604,414,442,256,387,268,306,
428,211,167,577,151,435,458,183,237,589,727,949,897,485,332,725,319,516,140,
624,745,553,008,480,435,933,355,347,801,731,209,300,900,855,692,871,460,212,
029,754,365,017,470,170,870,743,792,179,078,294,588,603,532,053,436,389,430,
215,871,593,266,567,592,031,273,559,383,301,009,887,435,464,162,491,326,054,
644,194,645,465,154,836,081,729,303,164,832,510,723,699,547,747,296,831,251,
972,727,709,948,884,859,935,853,184,427,747,929,784,132,610,229,072,387,796,
471,263,407,151,533,288,926,641,649,383,103,441,170,823,895,626,376,797,880,
395,415,644,550,024,707,562,665,739,058,994,630,340,037,937,842,430,155,312,
051,149,077,922,519,779,194,940,547,179,070,048,083,690,904,869,882,977,813,
059,472,754,484,801,997,206,935,735,367,576,235,820,317,365,594,581,245,081,
261,580,188,252,275,417,120,846,145,355,446,538,750,642,793,894,269,739,996,
141,588,661,599,575,751,510,289,567,220,344,178,918,745,329,405,432,766,292,
517,456,920,285,879,422,609,820,555,491,127,445,054,693,454,287,895,499,825,
125,976,056,743,840,394,374,374,894,411,943,002,027,451,199,801,801,712,696,
027,599,947,208,318,027,073,844,049,735,687,698,392,209,326,586,285,570,411,
518,768,078,415,839,998,314,635,204,337,447,753,840,129,475,552,902,881,445,
688,498,318,140,754,622,712,670,203,022,032,007,226,183,501,950,480,694,296,
743,756,593,882,078,608,139,327,280,345,726,999,682,270,014,412,602,375,591,
789,305,950,861,287,091,132,940,260,073,744,417,017,483,050,762,218,192,261,
449,506,913,808,464,865,720,671,843,645,737,395,819,176,409,027,544,399,251,
561,435,112,865,674,808,570,855,878,828,410,135,910,267,681,677,841,233,645,
834,425,250,082,637,066,640,751,023,360,966,847,754,589,917,071,968,075,122,
229,176,824,332,242,698,990,800,426,800,615,244,666,263,593,148,628,792,101,
322,332,254,503,022,756,111,195,409,181,274,670,887,110,031,198,952,211,550,
459,192,131,154,857,627,708,685,132,979,139,329,827,423,864,767,270,935,452,
737,008,203,060,037,820,290,695,908,478,403,737,990,931,857,559,507,565,188,
526,498,440,252,296,033,006,465,891,536,355,656,205,974,727,272,212,525,692,
223,129,443,513,234,638,579,949,932,824,000,406,429,342,984,523,844,887,551,
249,421,153,395,922,376,276,464,112,208,968,522,275,914,252,413,809,407,758,
963,972,140,834,449,744,522,424,833,523,518,806,539,932,245,715,689,430,648,
518,440,187,473,506,202,892,642,729,932,737,550,607,293,700,709,904,357,908,
267,024,879,571,855,407,542,331,063,280,583,537,666,295,115,693,572,751,460,
524,646,996,211,292,355,915,312,280,264,430,227,311,667,847,591,283,900,931,
450,770,222,647,446,350,568,135,868,402,691,928,311,828,064,885,960,434,481,
474,071,195,543,155,226,492,843,803,415,612,010,662,812,244,832,571,383,164,
794,140,996,840,391,208,102,581,523,775,959,358,902,164,404,958,626,812,065,
283,841,886,789,388,380,871,298,523,529,838,427,603,769,383,723,178,629,413,
783,736,788,838,349,011,842,529,102,955,436,637,471,943,668,955,741,586,181,
129,200,200,362,715,473,142,340,336,379,845,361,642,198,176,285,133,170,086,
563,253,277,625,244,204,359,064,938,210,742,433,994,238,511,560,398,618,637,
739,224,889,855,932,870,617,224,979,054,029,885,269,971,685,663,409,765,670,
889,453,107,589,071,603,469,081,749,622,202,485,009,497,595,889,829,936,939,
461,863,237,759,390,930,026,307,865,617,817,742,675,970,907,404,618,389,132,
922,352,932,425,468,153,534,463,568,368,530,180,982,917,261,683,815,744,903,
708,792,148,109,691,769,882,798,734,531,732,958,196,787,217,049,088,126,430,
841,140,374,787,064,001,410,131,973,173,237,169,235,473,714,333,805,247,276,
332,333,018,614,412,987,973,310,405,701,711,410,109,534,576,694,762,415,996,
171,293,606,940,209,579,681,761,558,358,485,868,555,384,565,019,150,877,442,
706,842,047,536,613,000,078,052,339,780,543,449,189,972,759,419,282,102,333,
733,037,447,251,264,611,765,918,281,822,121,256,496,047,609,706,638,544,618,
146,074,145,785,161,672,368,018,634,921,106,187,723,025,950,580,481,199,689,
248,801,424,008,921,297,978,444,193,517,519,623,498,730,781,752,639,121,687,
359,820,700,602,939,933,524,021,341,218,732,156,592,590,611,354,760,348,527,
152,247,909,472,554,726,429,688,928,124,167,670,123,808,061,783,221,254,694,
068,261,539,517,119,931,097,433,768,257,177,551,908,102,851,520,389,630,706,
781,462,801,398,257,409,165,892,553,107,958,761,444,686,413,338,868,413,630,
037,921,046,531,416,148,096,318,113,165,801,108,514,377,481,954,887,222,760,
978,414,556,265,267,439,919,999,132,538,318,693,685,400,428,479,728,186,558,
938,281,294,496,799,051,978,849,170,118,691,096,500,959,570,047,542,567,923,
669,731,048,746,556,120,217,196,883,974,400,919,818,537,365,480,892,453,602,
702,352,154,317,659,214,945,038,618,013,236,801,176,631,725,098,973,383,168,
910,402,827,358,564,110,970,534,780,107,868,288,565,679,230,113,706,293,920,
621,644,455,137,124,305,962,130,336,640,517,525,184,891,797,549,274,909,396,
904,274,422,009,191,303,696,319,076,940,955,726,104,237,026,993,559,635,067,
372,888,322,304,458,777,702,139,135,000,375,097,372,346,962,667,455,578,674,
736,933,192,271,952,106,412,836,264,382,309,172,530,804,339,003,224,004,570,
938,405,807,862,422,731,455,557,788,933,274,750,175,197,045,019,606,409,674,
766,492,046,036,395,681,949,636,892,805,026,134,965,352,231,502,259,569,894,
121,315,510,766,256,163,444,381,576,976,413,642,630,132,415,515,902,494,177,
910,173,969,722,416,049,431,748,837,935,866,790,354,504,314,573,908,046,772,
448,298,281,315,360,084,476,958,907,818,980,506,609,223,151,138,765,787,626,
404,888,210,233,986,525,647,476,530,574,392,994,895,957,584,467,862,024,255,
981,369,491,811,533,495,451,440,628,516,685,126,502,581,030,862,176,671,726,
038,874,865,021,820,372,719,715,244,428,485,676,992,178,816,552,188,585,537,
852,873,292,246,235,930,684,414,247,051,572,461,477,464,360,207,815,700,237,
892,592,990,045,477,392,608,442,329,648,098,382,784,661,232,776,509,631,922,
182,594,342,509,237,030,969,548,925,682,771,267,120,181,812,644,184,704,566,
499,405,555,237,478,921,684,204,479,061,831,450,379,249,154,520,097,126,273,
349,552,675,484,781,856,608,480,893,856,838,171,098,228,527,678,833,103,128,
103,453,665,690,466,553,202,510,800,851,470,565,120,882,474,583,904,487,729,
453,452,564,889,374,493,456,891,790,180,380,560,108,901,961,585,495,702,773,
049,701,021,647,387,458,515,990,099,258,898,243,922,708,443,248,893,254,134,
886,742,812,741,658,323,334,560,821,469,290,707,859,826,465,310,080,072,149,
983,150,172,493,543,847,911,212,076,673,155,387,187,434,929,095,264,562,410,
063,698,099,156,179,426,255,473,744,107,328,137,792,970,857,384,981,985,455,
001,699,780,765,194,922,169,292,685,068,126,055,783,885,135,052,008,886,943,
352,864,891,731,047,270,929,177,182,721,859,418,936,967,767,187,764,339,748,
348,234,187,010,122,134,917,002,337,247,692,063,215,413,618,613,628,976,201,
791,693,286,031,207,148,229,769,721,307,648,680,803,006,445,538,590,914,999,
547,699,812,669,683,988,029,046,522,404,328,344,879,826,788,877,149,500,523,
247,087,181,697,574,496,411,952,012,023,487,762,716,850,468,811,263,463,694,
033,779,915,919,801,346,911,078,734,149,530,937,639,267,793,309,731,742,150,
977,560,775,982,024,648,526,785,395,816,760,046,627,789,071,295,148,647,465,
979,085,886,816,646,956,809,825,215,408,536,582,183,325,398,028,007,339,937,
936,492,445,470,364,208,416,572,500,364,854,313,429,016,538,470,380,659,248,
227,353,217,690,296,071,129,393,027,983,297,912,842,111,657,432,639,821,831,
155,885,606,313,994,922,030,861,495,355,252,078,181,554,477,963,240,584,527,
386,532,556,325,870,424,554,501,615,115,579,590,978,686,113,536,445,507,796,
281,845,939,550,813,363,289,820,618,075,490,450,625,420,224,919,070,342,600,
121,097,168,210,493,048,478,968,233,373,261,192,983,151,534,760,692,710,474,
593,744,448,548,022,283,753,139,871,410,039,409,697,839,600,460,792,528,080,
799,337,019,300,915,014,577,744,569,851,530,906,340,342,472,764,830,062,954,
678,930,299,482,931,358,287,543,647,310,047,225,186,151,157,436,782,424,428,
744,873,799,289,237,513,167,778,572,033,779,204,007,973,948,895,436,475,108,
628,990,469,644,910,125,026,801,152,484,507,351,322,372,113,755,205,270,349,
964,306,953,901,064,213,746,601,935,475,193,650,934,201,618,740,406,476,289,
352,975,967,867,146,644,786,044,541,478,047,482,639,609,265,740,095,126,209,
611,686,652,762,585,504,053,164,238,935,210,721,599,636,736,877,507,746,407,
199,747,827,978,333,234,411,128,916,741,817,057,198,387,679,150,220,966,749,
706,118,704,825,583,954,146,193,321,502,635,082,349,403,051,700,265,467,056,
296,150,916,254,770,613,543,205,539,215,690,150,681,474,005,465,569,378,775,
203,046,088,653,680,840,413,481,403,366,271,767,890,594,512,572,968,636,317,
600,079,697,448,530,421,737,544,467,955,595,973,464,969,955,855,760,138,221,
900,026,238,679,269,299,659,842,076,555,053,535,382,874,802,107,446,987,106,
136,018,750,917,975,031,175,181,267,176,243,043,929,905,000,729,413,665,207,
785,366,528,994,763,563,534,314,000,213,802,252,185,708,563,526,505,659,853,
744,362,004,266,856,610,568,232,062,871,215,650,353,499,815,166,789,447,964,
427,483,340,874,048,566,912,728,619,527,828,704,184,737,649,617,838,157,971,
520,588,153,812,340,556,806,213,118,193,377,863,356,359,449,796,414,986,962,
572,641,765,389,948,557,640,690,824,791,991,738,782,180,326,980,532,947,878,
507,954,080,610,223,338,035,722,245,196,887,353,908,463,023,284,341,519,505,
271,429,323,968,784,419,760,063,420,508,211,144,959,678,414,970,828,883,519,
729,681,345,052,979,793,392,716,649,391,727,813,977,395,308,094,580,186,621,
059,867,595,721,137,836,754,354,380,531,008,964,428,876,527,396,384,845,665,
942,481,056,173,214,860,448,668,206,219,432,891,463,322,136,218,598,182,444,
949,891,623,295,740,257,438,530,607,452,152,588,476,676,291,414,638,802,229,
747,014,936,727,096,350,247,374,542,395,579,204,579,088,948,189,403,181,203,
267,180,119,719,171,864,779,574,223,697,658,481,408,516,259,874,779,036,114,
093,293,828,375,978,673,506,613,870,982,971,237,998,790,296,855,959,544,031,
256,750,697,262,737,265,836,777,283,265,454,934,675,559,245,109,674,609,490,
849,073,224,481,409,724,933,325,942,106,840,290,827,507,588,983,204,812,019,
907,710,197,426,197,597,816,650,774,077,212,461,368,328,777,864,978,441,643,
384,590,155,650,732,842,792,757,687,301,131,942,984,717,033,333,217,951,563,
462,296,228,974,401,137,234,153,047,942,430,111,718,603,335,361,839,267,496,
525,622,621,118,004,780,568,241,080,428,623,659,429,524,730,754,943,736,062,
989,300,864,791,201,425,394,380,042,016,006,211,608,482,516,807,672,327,611,
842,184,798,328,483,263,175,998,222,314,648,788,177,533,996,399,929,071,673,
378,938,035,951,693,644,678,362,087,446,222,120,802,901,497,494,057,314,363,
089,105,148,473,062,080,276,328,448,040,918,698,607,999,690,738,692,577,605,
576,535,749,217,227,009,729,069,864,540,745,424,917,533,458,021,110,347,920,
588,275,245,125,939,378,454,449,163,845,559,202,730,367,271,085,803,789,720,
701,160,066,189,475,582,739,798,301,456,393,183,010,433,505,277,558,060,893,
514,933,310,359,805,766,338,623,709,525,006,393,409,534,965,068,356,699,472,
327,240,536,171,270,878,458,408,739,841,518,097,597,387,726,221,591,433,745,
008,339,882,137,942,334,345,412,032,114,378,617,877,535,767,018,770,044,068,
488,160,817,892,451,576,305,798,164,361,195,794,843,654,414,551,535,354,101,
852,907,364,784,251,605,359,897,977,607,244,842,659,038,491,513,741,513,104,
522,484,862,636,150,286,598,790,121,078,323,488,926,733,747,396,797,397,921,
196,313,316,827,501,743,714,618,862,023,745,416,303,461,646,452,110,980,025,
208,796,712,449,288,187,134,998,929,589,080,040,759,804,158,696,006,921,545,
007,664,073,998,947,765,054,705,933,897,260,734,106,985,696,565,136,615,442,
439,436,709,328,490,868,728,890,593,411,150,442,788,265,878,620,196,168,682,
638,278,095,083,030,975,171,258,928,623,015,617,053,506,854,831,476,166,158,
146,570,097,902,008,043,506,938,469,249,687,274,797,667,137,829,796,737,136,
771,792,582,479,922,832,328,450,752,432,066,322,781,613,811,970,774,566,435,
847,448,378,504,097,275,699,274,293,415,964,163,617,647,883,024,633,910,529,
187,700,803,395,490,942,998,502,080,312,737,694,062,266,564,315,819,087,934,
269,861,042,605,562,676,203,591,602,282,884,851,617,078,073,742,563,377,763,
098,469,989,706,770,378,047,556,261,240,513,715,536,289,000,327,081,054,134,
342,916,243,016,987,813,003,071,011,752,297,684,953,928,872,506,684,512,944,
876,335,242,083,066,202,727,226,623,831,900,824,064,352,716,084,682,265,847,
777,241,315,313,237,461,687,896,239,826,263,123,134,484,142,103,192,319,624,
886,848,235,931,851,629,805,944,615,700,094,703,888,007,393,027,124,909,788,
761,502,500,744,077,181,074,883,504,144,858,013,369,313,261,891,285,831,487,
011,215,720,235,218,031,914,772,220,891,084,359,367,060,790,222,806,824,617,
955,497,540,507,306,270,537,120,112,607,773,036,906,007,979,265,806,761,695,
547,731,277,755,501,942,739,643,002,141,265,572,512,343,570,849,128,817,193,
623,695,325,661,406,579,019,248,693,701,379,404,407,655,530,268,362,584,360,
311,867,789,436,055,329,782,467,664,317,595,027,695,659,359,537,100,119,415,
804,759,796,825,692,596,771,426,287,897,745,847,801,100,031,349,186,767,020,
429,793,172,204,451,406,805,852,994,365,646,231,631,857,381,674,670,602,721,
439,791,737,867,570,168,709,429,923,687,804,478,688,254,721,499,831,805,624,
706,749,325,624,681,961,293,528,758,866,905,525,402,186,117,395,986,413,219,
611,327,637,788,636,239,441,152,589,212,871,808,836,819,365,073,488,262,453,
719,551,067,137,327,364,399,968,750,968,698,944,599,296,942,140,046,392,389,
195,257,129,381,972,877,631,816,605,894,610,614,856,658,204,014,537,503,995,
883,531,824,142,558,201,025,847,395,564,011,412,584,559,237,462,974,815,471,
253,686,502,828,451,217,845,048,704,921,409,945,166,764,710,484,412,854,956,
086,909,470,286,225,722,729,328,240,203,143,901,352,859,206,347,707,676,436,
859,282,556,953,541,845,970,213,765,900,903,338,473,134,879,150,110,678,369,
072,537,737,726,863,449,657,813,797,775,331,873,594,962,898,600,848,707,742,
799,461,609,315,672,510,138,573,619,688,226,738,529,563,959,852,014,119,521,
886,846,868,214,114,807,287,639,420,963,486,246,376,553,544,271,572,567,712,
270,419,276,085,231,428,673,162,041,254,695,049,935,815,599,019,887,472,849,
018,169,001,974,186,010,172,557,494,842,979,700,315,903,154,676,048,751,402,
046,093,570,023,610,394,171,905,806,974,428,448,779,824,496,476,209,410,662,
066,275,230,060,859,455,258,295,115,250,228,531,197,715,153,548,105,813,176,
024,594,307,938,755,281,323,986,827,470,719,334,171,839,036,056,673,886,716,
965,610,715,437,512,647,743,382,652,281,499,800,987,035,031,837,358,734,250,
933,576,074,683,704,524,720,949,153,474,872,806,883,242,688,745,869,426,314,
889,076,219,437,322,033,933,683,448,351,526,738,819,989,493,649,761,901,482,
441,068,279,049,367,049,514,844,144,362,191,149,315,998,661,950,457,628,544,
774,099,597,120,184,813,996,857,034,358,812,438,957,311,591,087,751,333,343,
113,912,070,898,949,971,669,179,827,793,713,811,378,776,661,048,674,294,895,
319,992,562,577,886,540,907,382,325,131,458,733,998,103,386,496,359,932,263,
555,115,247,560,116,510,681,119,411,698,058,821,361,865,477,639,436,169,879,
370,849,031,158,534,111,029,231,304,550,930,848,900,002,785,272,337,743,657,
104,208,760,153,765,889,690,131,738,499,719,966,616,652,966,777,283,754,833,
452,204,066,521,181,347,539,691,021,524,829,649,972,682,500,485,367,626,613,
195,907,916,883,614,027,469,106,750,870,553,570,464,511,530,674,265,432,424,
776,521,308,587,023,183,916,512,064,525,538,769,842,702,213,860,135,279,910,
462,131,654,003,668,575,210,544,923,390,212,287,393,475,937,774,427,891,243,
436,219,638,449,451,780,155,212,527,026,917,041,055,193,667,796,038,408,967,
856,449,833,822,143,864,627,944,994,096,568,229,262,063,616,687,259,387,145,
226,339,237,790,091,883,359,003,393,382,439,587,237,633,631,054,598,086,705,
866,088,784,471,329,994,903,532,150,074,507,269,491,915,979,659,967,735,991,
114,112,570,978,417,451,478,948,819,871,064,880,716,951,473,933,644,237,796,
433,864,131,912,202,527,436,113,209,114,767,018,890,495,059,360,595,084,843,
031,056,349,176,482,841,039,878,296,690,820,326,047,370,833,500,497,337,075,
180,345,504,326,436,375,308,496,992,766,238,094,993,106,748,802,795,675,005,
370,858,836,004,877,870,583,262,295,700,736,339,126,779,445,501,842,220,990,
293,685,900,543,117,369,812,661,982,166,618,651,746,393,788,318,795,007,531,
992,101,201,076,274,783,068,637,973,748,304,316,340,857,347,777,675,910,802,
981,401,665,027,169,824,425,149,365,850,079,871,962,304,252,794,788,028,502,
319,739,376,198,637,239,381,254,218,526,417,421,919,446,761,441,284,789,212,
346,043,412,960,263,952,580,757,431,029,419,801,905,628,356,679,874,860,640,
672,594,423,597,486,739,263,563,629,673,673,862,691,816,388,339,707,364,438,
337,781,565,294,218,093,637,803,684,103,250,295,139,704,410,834,207,762,273,
180,679,945,462,692,131,359,308,668,722,589,846,684,986,522,694,606,554,163,
396,972,765,138,985,352,272,842,657,401,572,982,511,810,056,134,735,356,258,
784,531,962,869,418,082,638,417,298,200,372,532,630,600,967,870,145,381,413,
832,196,652,323,417,092,461,974,387,356,093,272,120,304,597,347,512,392,832,
555,748,479,423,684,601,010,401,665,274,698,315,515,441,339,615,864,829,069,
036,241,051,037,331,500,454,879,602,348,327,396,278,419,793,640,302,168,567,
537,467,921,903,517,850,616,749,731,579,848,678,734,715,228,814,762,022,378,
542,541,545,961,964,162,989,622,419,453,275,744,347,297,202,656,472,403,577,
266,093,025,123,197,232,707,319,397,417,444,781,633,319,837,154,815,224,463,
416,534,079,224,520,156,460,746,508,398,700,990,082,733,705,705,143,125,099,
288,496,111,343,203,002,798,864,244,924,761,289,974,011,402,650,799,799,803,
865,310,666,685,083,103,788,082,001,550,992,040,856,501,998,889,004,046,760,
419,399,035,862,839,079,468,830,335,124,034,156,635,085,228,252,929,498,031,
361,035,803,862,526,273,465,739,878,580,240,621,043,278,616,145,132,590,072,
979,818,722,427,349,976,465,826,279,515,586,398,622,685,165,040,364,395,427,
938,246,386,813,798,471,547,286,995,124,454,383,411,186,866,544,671,780,411,
982,129,408,077,666,967,670,649,319,166,911,446,311,929,643,950,109,406,614,
347,565,338,916,271,299,048,414,973,820,975,774,348,381,970,468,449,921,315,
304,377,352,068,424,651,832,270,753,094,111,257,220,380,032,592,529,751,920,
051,220,150,389,489,456,282,602,584,653,423,896,931,789,196,024,526,241,851,
828,104,563,480,792,637,714,803,078,671,746,172,214,559,928,865,737,936,115,
819,039,093,873,981,557,270,359,771,935,675,109,445,559,439,993,824,017,688,
975,983,487,054,028,666,341,251,908,333,624,987,458,942,247,721,756,546,898,
396,868,966,127,689,592,924,059,125,723,170,307,630,322,923,056,388,211,454,
746,989,885,474,072,581,893,631,531,224,819,876,247,712,047,011,708,040,833,
020,393,530,224,577,830,013,673,223,612,883,324,883,468,684,056,186,829,452,
037,169,016,059,793,133,207,187,454,893,120,393,616,349,871,255,180,889,554,
152,269,874,186,349,694,585,243,359,482,131,588,549,496,122,123,941,176,266,
284,303,423,389,869,013,192,216,177,628,916,808,068,626,301,240,463,905,253,
830,218,915,478,853,494,615,226,267,965,306,604,845,497,121,421,944,992,477,
762,086,445,330,354,805,516,312,497,638,538,628,818,545,728,060,542,540,243,
702,046,561,776,403,399,386,643,823,946,982,792,407,551,160,742,822,811,304,
889,712,300,973,433,513,169,912,617,485,225,016,127,925,963,868,365,437,254,
703,797,202,820,908,787,599,568,825,967,204,569,770,970,984,989,200,216,565,
513,244,025,993,281,569,401,528,034,424,254,593,220,038,064,481,180,905,408,
620,210,196,460,263,705,312,337,137,361,456,938,493,661,863,948,276,515,618,
142,775,977,309,825,386,715,533,222,639,377,521,772,295,218,708,396,531,179,
765,198,762,025,521,154,031,304,606,822,817,039,389,694,275,078,812,759,020,
354,099,818,704,924,967,737,189,250,069,003,716,870,873,517,086,966,286,259,
381,073,388,630,756,637,176,840,291,534,412,650,084,205,211,692,741,332,205,
051,503,710,652,276,782,908,644,006,935,750,376,101,968,759,857,773,160,569,
814,194,372,552,197,173,855,075,666,820,325,539,104,013,794,652,303,174,456,
777,723,243,154,370,714,531,364,058,526,615,156,166,572,372,423,026,861,498,
190,879,521,059,984,767,432,764,381,671,643,567,473,762,597,403,140,409,796,
819,878,403,137,366,044,128,111,856,941,057,671,841,278,069,740,635,995,001,
531,041,873,294,501,674,028,538,527,979,410,109,310,449,758,737,733,072,964,
474,874,141,341,889,566,588,943,815,103,199,040,417,404,422,536,659,263,860,
147,653,031,406,460,115,464,351,354,212,404,163,936,762,675,752,296,729,770,
568,020,128,696,938,672,992,653,898,946,157,199,953,371,397,470,299,960,250,
739,876,636,549,235,975,583,706,455,932,777,245,548,114,215,878,096,545,459,
235,017,731,601,176,564,474,682,615,719,855,174,135,171,043,810,632,244,239,
234,285,888,076,401,584,058,890,666,470,073,804,992,585,174,491,373,540,417,
079,254,406,287,695,244,124,572,758,916,613,079,303,175,019,486,622,718,276,
165,689,768,834,052,401,554,731,722,099,286,805,155,787,503,047,713,983,546,
058,738,024,799,111,503,544,489,614,234,361,731,375,893,478,060,906,838,697,
793,026,689,908,305,341,437,287,805,547,015,080,768,675,290,919,862,903,131,
525,592,061,632,841,658,336,817,657,252,470,183,169,329,522,800,518,565,641,
535,142,145,381,722,589,446,354,072,228,203,258,284,880,164,551,924,689,411,
601,989,892,945,484,310,902,249,299,494,432,556,959,420,508,176,365,152,570,
223,865,196,635,438,805,546,625,864,694,480,145,493,193,157,185,413,251,809,
074,324,808,853,182,400,369,599,802,003,827,200,964,782,822,063,245,476,291,
623,264,085,486,934,042,510,996,913,784,414,547,744,872,738,763,303,207,588,
666,583,305,312,020,620,874,466,723,284,928,279,107,474,336,981,701,090,280,
202,791,384,306,084,467,094,868,920,345,091,999,784,084,787,809,422,348,699,
305,712,887,036,127,411,606,860,815,472,041,802,594,863,459,034,762,180,991,
446,451,525,667,228,295,919,039,609,521,861,463,840,488,841,835,718,241,396,
487,681,703,770,396,691,247,754,877,525,411,664,895,480,945,980,681,419,660,
359,356,921,888,656,489,246,949,060,511,109,156,739,556,065,837,812,798,542,
442,470,711,110,158,452,626,078,713,752,129,961,726,945,164,977,790,219,686,
657,058,890,633,151,018,468,200,242,150,203,326,358,789,713,306,626,280,972,
712,185,188,489,165,519,789,915,519,444,244,133,459,843,869,378,220,280,891,
872,678,480,917,183,030,213,841,117,089,286,445,434,571,982,486,804,339,545,
822,752,493,082,667,919,191,075,779,060,969,473,621,770,010,755,950,802,201,
908,530,428,567,636,606,934,112,604,150,024,914,956,803,821,441,278,185,732,
448,541,665,667,742,523,297,903,902,188,117,628,111,018,286,654,999,482,252,
221,475,978,819,640,012,855,253,195,352,851,492,699,843,826,727,067,638,599,
671,648,321,893,593,171,341,553,392,714,662,582,074,026,884,349,788,875,596,
537,580,856,414,586,948,623,349,731,168,642,397,419,270,471,171,429,712,674,
241,619,049,213,724,331,951,155,592,107,700,363,890,780,985,360,838,789,173,
984,232,964,030,368,074,419,501,491,382,272,479,637,124,402,985,516,929,131,
066,345,545,054,022,353,246,031,259,686,549,524,558,706,572,685,095,400,714,
787,449,242,543,147,151,774,056,711,476,887,562,071,341,748,069,595,820,562,
183,976,736,573,323,538,998,097,308,797,719,523,131,901,683,683,273,856,069,
944,751,863,013,188,385,179,249,746,029,437,757,932,245,669,259,725,652,080,
212,184,832,489,289,047,248,421,899,075,308,362,088,838,517,235,498,743,194,
865,917,648,382,350,538,617,627,582,433,069,016,886,060,685,613,280,482,151,
917,951,450,907,618,475,261,896,900,443,862,231,520,327,245,711,215,866,688,
231,752,238,094,765,000,912,280,096,041,520,137,298,676,605,924,340,219,365,
085,678,326,366,884,868,275,187,657,114,649,784,629,064,326,414,893,672,513,
549,164,224,248,057,921,269,075,906,516,194,142,111,532,172,254,675,187,350,
343,137,590,901,390,052,062,543,861,555,623,387,431,384,945,551,391,607,128,
185,297,738,640,065,595,307,422,367,978,851,386,753,222,858,980,347,776,070,
846,599,997,453,118,133,997,271,880,469,249,442,424,976,659,145,572,362,616,
226,532,045,374,080,689,525,650,188,573,122,574,172,226,118,374,477,636,773,
974,264,608,526,504,351,957,876,031,092,181,459,417,979,838,329,675,199,856,
844,041,570,192,821,920,509,420,109,529,072,419,504,449,755,528,275,458,631,
102,381,086,605,877,868,880,046,493,185,353,901,267,975,024,884,611,918,023,
739,346,899,858,530,979,017,607,202,128,897,192,447,299,643,978,706,098,669,
647,838,596,290,964,606,267,417,370,031,495,601,858,248,479,238,320,690,048,
377,235,400,456,041,462,901,834,550,110,845,386,176,742,758,111,406,848,589,
723,200,050,397,855,018,200,584,633,633,405,347,933,390,318,930,067,344,968,
225,917,798,457,629,882,976,784,167,314,651,458,707,194,407,912,290,580,702,
395,973,254,311,977,330,049,168,447,505,129,482,729,881,908,427,768,562,963,
236,605,752,300,007,263,444,575,111,671,035,391,736,169,344,077,939,082,196,
319,267,135,481,172,583,235,338,760,731,417,501,314,963,250,390,621,507,313,
314,690,894,544,632,231,825,946,992,298,380,645,920,047,715,581,031,437,225,
865,651,567,346,940,083,193,952,338,282,059,170,141,410,933,302,378,666,077,
113,014,859,652,515,089,903,018,292,128,869,080,503,437,712,607,105,928,943,
126,929,694,410,252,623,762,204,136,683,777,599,987,368,829,830,772,236,708,
697,185,920,443,354,501,522,991,811,315,053,328,156,864,803,287,674,975,673,
545,773,001,555,083,114,162,919,337,276,635,865,514,317,292,565,295,941,864,
439,274,564,238,114,283,386,542,574,978,691,692,682,710,543,067,226,006,258,
932,430,265,553,755,866,941,576,033,246,161,236,322,741,700,185,743,073,969,
587,788,034,085,394,993,785,812,889,112,417,471,735,248,171,601,895,229,777,
360,799,866,476,308,713,048,838,977,783,684,640,295,405,357,589,962,173,382,
727,683,626,327,265,364,316,307,077,725,353,805,207,242,995,857,178,471,921,
352,707,670,983,497,023,900,652,483,313,509,585,961,533,149,932,571,668,062,
085,901,759,514,391,882,959,727,894,317,826,053,360,347,116,975,850,379,824,
274,376,011,466,970,284,874,711,090,262,433,787,752,800,560,331,379,632,436,
760,091,071,360,465,376,489,175,167,201,404,388,581,996,437,945,639,781,206,
492,975,502,565,286,880,973,830,247,241,674,932,568,717,619,626,686,651,158,
336,293,429,639,668,179,136,344,370,680,179,582,065,232,792,619,950,272,951,
878,401,109,957,464,082,418,949,035,898,877,680,152,504,128,933,379,472,906,
203,526,431,364,511,565,009,141,964,114,230,303,633,008,486,826,710,024,041,
014,867,263,300,540,564,912,632,220,794,827,816,471,012,641,030,371,795,328,
422,758,813,189,097,960,029,663,454,670,957,783,292,822,304,115,649,680,660,
372,281,934,071,264,957,594,290,806,020,803,202,033,505,401,083,587,836,544,
467,386,640,030,218,468,964,814,802,715,049,200,050,844,351,694,285,356,199,
350,827,168,889,887,956,443,408,430,167,553,264,149,341,675,288,725,201,902,
886,322,603,771,488,929,554,430,278,442,329,772,334,506,288,546,850,495,106,
950,571,992,998,921,307,750,248,403,855,770,806,207,293,850,454,000,423,279,
561,033,545,007,144,097,246,939,690,828,311,189,363,570,502,466,708,186,893,
198,008,772,644,610,072,423,836,119,611,018,208,402,537,573,444,568,322,162,
028,755,216,919,226,866,101,163,907,203,558,734,112,416,928,771,026,845,984,
222,952,987,883,696,743,153,019,785,180,187,294,241,500,122,545,325,948,569,
366,695,208,892,935,642,242,079,408,570,157,103,716,210,754,229,660,771,228,
036,717,648,922,751,729,340,008,208,216,791,754,994,919,621,552,917,560,542,
339,525,888,536,661,264,511,960,331,911,560,640,795,423,899,929,609,459,978,
729,039,170,327,732,518,492,045,879,013,186,988,975,924,218,509,133,023,281,
493,105,065,217,550,049,596,798,065,158,582,598,402,968,609,229,966,931,388,
795,060,283,013,311,756,746,446,642,554,336,775,448,231,073,874,653,444,859,
052,374,174,987,909,514,911,106,908,170,562,753,581,598,950,256,758,723,430,
573,103,478,417,297,671,163,405,454,488,256,953,497,733,083,195,597,234,897,
648,056,509,918,116,028,302,317,947,994,512,483,215,289,739,692,062,069,191,
129,972,146,424,333,197,502,133,830,655,141,392,278,450,604,659,066,269,654,
296,005,180,197,079,292,180,616,073,450,637,252,333,628,371,595,314,738,250,
851,106,944,829,120,804,883,715,741,443,408,378,554,519,611,971,479,733,693,
457,203,365,953,566,879,540,399,951,314,439,255,435,048,754,477,123,930,712,
176,268,967,347,506,311,919,144,994,111,500,430,306,539,956,478,124,295,788,
189,286,252,776,225,335,738,965,231,923,611,394,188,841,705,615,079,744,632,
530,661,853,240,693,896,995,215,995,593,469,838,048,921,717,662,336,167,928,
058,486,777,989,007,153,727,048,174,335,769,951,361,645,108,194,523,593,288,
712,835,789,341,426,397,598,478,539,229,748,109,639,147,506,222,808,537,688,
604,000,667,125,046,390,186,366,822,433,808,722,780,985,855,466,385,452,267,
816,048,486,573,820,215,688,320,426,470,260,446,471,509,233,391,815,534,901,
652,350,298,992,788,268,383,574,077,268,266,393,962,229,337,593,459,319,538,
413,687,610,573,341,672,022,735,468,575,959,952,103,999,440,229,185,196,368,
690,368,124,495,994,085,341,182,223,334,533,513,277,797,489,204,740,064,922,
547,410,928,426,586,935,352,994,952,828,980,268,070,838,816,346,394,089,286,
296,831,611,433,927,067,658,348,752,348,485,235,485,599,037,610,813,016,336,
424,508,528,881,608,304,974,524,721,875,145,587,395,022,531,145,595,352,361,
781,015,418,576,701,628,598,402,768,070,159,835,660,136,792,459,363,950,193,
407,207,124,087,894,520,508,046,371,102,905,922,052,678,313,906,987,267,664,
285,933,806,582,800,599,090,747,053,931,458,840,785,406,214,425,550,376,065,
635,720,292,238,822,048,338,913,630,708,943,687,463,876,979,790,916,295,578,
585,796,534,143,327,233,870,903,185,979,493,647,013,553,410,589,376,962,134,
255,751,949,157,245,630,495,647,772,197,930,129,544,264,566,779,272,502,399,
012,959,338,003,066,412,407,844,563,694,673,427,562,695,885,185,540,957,381,
434,889,314,934,225,978,333,378,082,434,558,137,835,395,023,445,952,216,268,
833,785,394,797,818,830,068,995,519,778,632,280,279,709,455,111,058,525,366,
218,717,095,865,147,067,975,149,569,561,492,672,257,175,177,831,692,734,851,
770,054,703,615,007,621,215,466,244,682,907,695,334,701,349,445,556,066,273,
794,974,794,350,749,310,715,200,696,550,465,510,678,286,561,977,257,715,638,
109,418,215,975,351,668,026,312,127,609,696,634,527,302,521,940,940,468,694,
721,600,215,186,397,773,149,960,983,204,723,292,577,156,103,684,129,050,995,
041,556,179,609,246,404,153,466,846,682,355,035,380,326,188,156,749,608,721,
213,611,841,083,117,990,018,770,537,967,665,726,134,279,129,231,003,912,209,
041,049,335,990,124,034,583,428,165,367,035,896,453,409,200,188,049,069,908,
769,125,103,773,701,230,535,536,128,234,393,093,442,630,487,156,375,170,295,
496,104,300,705,139,773,230,645,039,209,057,340,187,717,811,804,800,951,352,
884,901,502,632,290,113,396,682,775,848,635,454,246,351,038,031,970,523,344,
897,067,877,431,897,476,631,276,781,800,990,940,425,125,493,749,665,296,349,
421,969,829,173,716,861,884,524,033,669,486,184,299,122,424,419,056,203,012,
513,969,447,629,838,944,513,655,929,329,237,789,265,634,875,398,870,421,649,
323,540,772,725,999,521,521,996,688,824,670,525,448,908,002,434,093,304,530,
963,142,860,090,014,028,983,935,620,216,724,272,725,048,344,334,080,163,346,
266,928,951,720,280,717,474,563,008,967,378,890,781,975,765,517,730,133,410,
060,271,364,314,374,972,614,439,082,108,880,109,778,094,293,605,885,714,884,
782,850,659,317,802,032,979,203,967,221,683,067,972,833,138,768,961,844,463,
609,671,272,858,194,135,506,081,112,109,972,542,341,062,924,811,642,426,464,
976,929,083,041,732,156,510,798,552,200,509,754,358,744,390,509,866,553,681,
906,117,195,226,256,112,801,309,558,581,927,062,397,609,080,816,660,486,455,
479,115,419,294,190,523,522,510,435,639,775,523,732,893,473,506,580,492,170,
882,311,629,736,901,413,899,231,910,018,119,161,159,187,352,506,096,419,563,
736,303,691,874,974,870,685,605,004,081,401,460,535,982,839,763,767,544,073,
889,587,999,392,265,693,471,326,543,747,963,655,998,320,286,179,426,975,733,
658,679,243,213,506,583,144,577,461,972,065,884,929,467,286,558,171,584,762,
613,378,185,767,683,637,495,040,558,568,357,609,450,905,977,173,968,589,991,
922,072,692,175,534,186,211,433,700,216,587,995,429,462,404,173,416,059,200,
943,036,453,464,335,625,955,135,361,824,775,443,605,154,511,339,509,256,839,
960,330,830,198,604,851,149,403,947,428,076,595,245,197,720,657,168,580,156,
230,227,714,409,020,026,576,667,567,325,450,874,569,546,374,814,004,927,663,
417,682,316,242,298,630,497,703,671,898,534,047,149,351,569,295,316,233,103,
781,558,099,819,198,328,499,790,395,941,742,975,574,473,294,447,173,718,055,
026,348,931,756,150,901,155,977,932,872,769,884,251,252,106,976,746,006,356,
998,653,330,656,591,066,755,877,702,863,792,587,793,380,838,983,354,951,480,
525,676,487,015,917,424,493,868,928,508,374,897,834,342,418,485,292,686,078,
684,488,966,505,802,985,180,266,383,138,719,866,942,946,434,125,122,036,941,
723,231,992,089,318,510,861,265,919,494,298,759,210,401,249,644,272,034,007,
647,930,488,707,639,250,208,587,224,388,860,511,145,634,167,067,171,073,560,
605,667,844,812,939,087,939,655,431,113,111,909,212,417,301,335,028,980,125,
362,059,801,756,499,747,819,763,452,170,473,914,049,246,794,583,994,634,059,
058,695,326,750,850,748,338,838,534,529,763,466,250,252,950,593,200,865,156,
108,390,948,322,042,997,649,476,145,288,143,553,205,970,665,735,472,170,896,
879,410,430,813,001,565,682,027,920,021,919,682,958,542,010,665,609,448,479,
254,080,335,842,283,237,171,343,551,070,571,634,997,697,148,263,960,344,718,
785,692,806,826,854,817,885,443,825,739,447,066,495,457,193,926,446,588,615,
025,957,436,118,686,481,923,986,339,844,579,410,987,535,613,579,561,052,761,
998,685,430,660,523,950,435,409,065,053,749,435,401,480,532,132,511,156,394,
540,012,693,825,854,259,426,269,933,278,499,297,484,095,263,223,118,747,716,
121,337,919,300,191,693,742,861,773,388,491,189,131,674,865,120,324,177,916,
743,128,399,094,121,504,040,366,129,654,171,728,091,819,866,019,317,094,416,
186,209,814,842,804,645,379,301,980,861,618,682,736,769,699,455,672,449,201,
344,593,609,285,648,911,998,275,200,138,901,097,050,316,229,529,530,465,066,
508,277,058,136,005,580,416,008,194,581,693,614,113,282,434,379,658,507,815,
025,388,857,861,905,745,288,105,335,029,281,761,939,071,109,005,221,995,059,
631,605,012,823,776,503,710,452,868,759,299,306,880,008,637,214,661,339,869,
814,320,722,580,046,184,692,720,244,175,013,435,989,882,611,559,580,241,299,
739,830,713,248,430,990,363,791,465,460,677,883,414,983,090,069,294,349,679,
767,548,680,524,291,403,015,731,739,189,347,597,999,826,786,534,686,736,985,
135,341,282,820,684,964,392,994,062,836,831,462,632,391,599,268,825,111,885,
637,972,442,734,071,335,531,182,699,254,725,717,445,255,409,927,982,764,006,
287,693,843,024,843,714,052,111,529,624,418,349,001,090,079,201,441,870,248,
260,833,155,450,693,386,397,579,823,400,629,996,722,385,903,144,746,420,991,
262,521,447,951,425,052,887,798,681,310,018,607,235,526,192,765,136,689,486,
172,999,690,030,183,400,683,246,493,883,952,673,252,144,384,021,501,204,982,
391,314,777,998,717,087,441,977,789,878,624,530,577,128,748,258,790,042,158,
300,293,908,088,888,862,540,744,015,886,418,917,856,617,944,381,909,980,092,
179,858,378,290,537,853,457,291,100,800,975,004,587,457,656,512,986,817,190,
597,160,970,125,275,169,447,021,237,461,523,465,347,411,126,892,979,744,836,
718,611,136,336,426,749,218,196,961,229,900,849,057,562,384,068,184,596,242,
876,413,386,147,905,071,048,723,925,075,667,728,398,517,875,428,804,284,749,
848,830,033,282,257,728,522,639,807,633,234,671,606,097,750,774,330,129,237,
679,741,545,431,753,952,484,939,024,297,809,308,107,557,024,374,570,535,864,
919,348,234,852,166,809,717,565,607,238,523,797,860,206,967,908,838,162,488,
992,070,074,184,224,380,864,441,354,610,462,893,328,389,330,070,638,814,551,
280,740,256,472,882,657,660,103,518,381,609,830,847,344,042,804,163,855,380,
473,012,833,029,345,975,908,489,984,887,333,451,174,787,630,580,687,217,554,
143,230,245,093,264,418,384,963,569,404,622,012,052,185,158,966,015,566,731,
713,150,464,608,437,069,161,168,696,129,581,941,591,534,324,915,456,008,124,
756,203,226,534,917,574,825,982,036,141,688,926,948,008,274,201,950,471,602,
901,060,853,451,389,282,463,653,964,905,110,880,741,152,068,775,063,519,764,
260,334,504,413,456,259,519,702,057,611,736,897,366,569,248,758,094,491,535,
235,222,726,758,303,962,166,829,194,320,548,364,686,179,119,277,192,648,355,
035,039,740,585,055,640,709,799,325,300,758,423,037,420,391,227,617,523,257,
196,636,876,565,860,856,105,213,929,140,203,600,231,771,742,412,527,384,416,
917,567,350,027,324,241,820,005,770,928,135,096,238,415,347,241,177,031,949,
356,708,324,229,053,892,231,479,745,601,801,094,434,081,131,003,906,837,201,
050,310,087,213,820,160,679,110,424,654,564,356,766,287,614,297,030,997,665,
399,666,249,716,954,072,505,691,605,950,757,791,901,942,401,696,650,914,894,
693,997,706,953,899,201,146,409,820,885,358,716,680,269,971,508,404,935,648,
295,932,970,597,313,094,053,042,521,957,220,754,897,208,997,730,647,631,118,
138,672,378,265,138,414,914,525,470,164,525,063,984,568,235,697,324,650,108,
660,140,953,612,329,450,270,700,315,091,931,877,560,300,925,399,604,422,526,
439,345,257,676,096,359,045,119,252,632,503,021,921,537,024,817,110,836,971,
824,519,965,755,610,823,050,404,149,671,955,700,450,718,025,129,838,395,753,
908,675,621,721,032,627,862,719,836,325,278,712,489,524,127,234,986,649,539,
618,910,858,974,243,982,085,377,876,445,916,782,741,657,095,952,157,185,803,
142,139,844,970,604,252,789,839,305,467,008,103,694,019,859,157,948,486,260,
896,521,719,135,398,199,647,032,270,906,937,681,976,228,824,843,844,890,039,
419,559,904,043,991,374,449,701,683,871,120,534,391,040,279,016,971,658,924,
484,809,976,608,472,897,544,508,615,903,784,244,196,003,326,830,542,126,707,
653,149,231,795,124,047,486,722,599,840,169,648,313,884,807,200,084,195,939,
498,104,947,830,413,854,384,219,623,479,473,311,623,778,346,748,227,335,318,
937,298,785,771,401,077,108,942,923,605,121,127,628,721,506,327,357,574,496,
038,349,716,852,428,789,466,235,183,212,488,737,735,026,862,775,183,824,886,
954,019,829,352,001,547,121,438,939,915,069,188,238,306,584,429,800,571,358,
470,774,807,114,497,537,011,978,240,366,840,573,396,506,488,939,884,781,251,
707,922,361,588,402,181,141,784,929,741,257,327,306,375,513,588,190,352,502,
648,800,041,183,971,075,977,208,763,204,623,953,664,735,940,065,740,305,820,
100,578,781,924,665,385,461,429,591,822,813,475,097,335,253,291,154,157,745,
644,097,747,773,957,929,330,491,092,734,725,687,649,715,563,868,952,045,494,
765,277,929,985,276,800,711,277,226,243,103,252,416,708,054,844,578,633,189,
924,584,465,812,037,336,254,008,369,559,052,114,022,030,475,144,366,830,387,
554,485,082,247,967,844,627,883,909,669,209,733,911,402,104,937,354,582,921,
686,890,494,456,710,710,783,343,014,228,226,745,692,541,064,751,500,152,703,
476,749,413,620,618,864,956,428,814,376,195,005,357,010,309,662,586,889,777,
923,159,065,795,047,762,466,171,990,741,289,436,658,544,564,911,278,828,353,
318,959,465,572,893,934,059,140,511,690,298,963,732,872,485,202,750,397,044,
660,992,102,991,523,583,066,993,936,135,437,037,676,654,881,500,079,047,353,
732,292,145,978,402,568,288,352,407,075,210,624,911,472,609,211,657,114,313,
127,391,121,942,911,043,723,140,437,420,551,558,240,889,719,809,258,896,765,
103,528,413,204,547,076,553,073,295,788,078,832,774,845,921,690,888,510,010,
771,879,903,505,247,083,797,587,346,453,642,770,180,251,199,609,251,748,147,
984,205,495,468,743,104,706,337,641,960,232,401,617,114,292,849,596,276,678,
401,633,578,976,272,081,984,145,508,173,066,296,810,087,177,603,444,283,593,
090,367,894,301,940,756,972,913,313,050,435,644,957,161,549,658,429,287,613,
357,246,091,767,706,366,714,651,189,511,255,761,137,670,800,714,880,584,829,
797,449,021,229,722,183,070,290,355,855,275,360,950,340,495,234,303,800,705,
414,556,310,481,488,443,267,502,111,464,896,445,933,416,715,640,816,188,913,
451,029,055,148,243,224,360,621,637,586,029,926,758,635,218,944,471,692,650,
736,865,367,233,138,347,621,042,282,596,889,395,121,258,802,257,063,249,589,
566,583,323,252,475,403,351,725,365,927,003,534,944,887,904,179,621,769,927,
574,943,971,993,770,285,218,419,714,359,418,057,317,396,191,131,102,459,155,
604,384,203,807,733,184,045,036,295,439,715,285,489,800,376,281,414,552,434,
168,459,579,338,662,636,359,762,551,068,560,426,903,854,623,186,794,958,819,
747,615,402,552,951,983,239,062,735,686,847,353,700,308,414,184,583,269,175,
501,921,953,369,356,857,638,914,547,698,230,590,195,843,794,317,230,977,110,
154,832,630,364,764,739,452,822,112,472,116,304,533,779,322,086,266,190,451,
883,433,685,315,993,372,237,071,594,764,760,245,122,173,428,184,001,374,517,
135,442,651,884,228,693,283,824,392,981,972,852,540,637,513,482,305,160,768,
073,686,710,944,394,789,243,892,597,671,918,980,555,536,398,911,899,968,471,
984,045,367,604,109,544,341,341,675,086,568,801,352,543,064,071,353,073,303,
763,040,827,514,316,476,725,060,455,222,369,791,477,197,747,107,783,150,116,
271,319,278,049,834,876,496,040,026,697,812,432,522,359,358,724,386,795,606,
583,551,994,476,886,410,813,861,683,140,516,977,081,038,054,970,750,431,341,
464,684,589,607,772,712,879,803,478,047,162,555,298,526,071,086,501,499,884,
738,151,152,888,425,697,603,830,724,821,402,106,928,804,866,354,311,492,502,
710,905,897,242,261,785,785,155,161,740,809,531,653,272,927,620,957,517,484,
280,203,164,901,665,304,350,093,441,869,108,933,699,179,091,454,170,328,848,
528,069,861,375,393,040,444,002,563,333,872,971,537,422,178,627,552,405,347,
673,901,055,192,942,775,556,030,808,352,664,142,636,922,713,849,237,339,077,
162,229,147,953,313,271,534,373,393,145,255,792,935,774,052,626,461,623,634,
944,001,177,745,461,810,836,508,183,510,648,571,387,796,095,632,996,815,477,
339,446,555,429,126,382,151,759,429,862,007,900,184,542,632,587,383,375,192,
741,221,673,247,667,371,549,782,364,872,342,745,601,603,437,586,542,171,651,
466,524,679,522,910,346,529,195,872,616,704,023,120,572,894,874,963,330,263,
790,781,591,232,302,432,715,533,185,849,035,786,815,886,198,599,441,447,715,
900,322,286,416,792,320,734,613,124,980,783,679,331,384,176,673,586,739,327,
242,853,883,108,904,226,067,063,820,137,770,223,277,305,488,892,764,432,968,
709,593,370,407,770,812,366,436,999,659,109,042,532,370,037,131,379,299,187,
382,575,585,266,528,132,503,191,104,471,034,993,979,293,956,248,225,495,867,
532,713,658,494,902,697,408,656,341,900,254,153,446,379,069,316,906,518,419,
515,113,333,085,784,840,494,265,745,432,329,514,465,369,718,508,901,314,777,
002,629,539,141,837,398,048,836,294,369,927,933,278,193,518,961,265,910,012,
291,665,716,501,457,452,067,812,258,962,329,733,077,331,577,074,429,134,643,
905,063,966,052,054,078,028,760,816,004,649,290,551,224,912,112,673,601,064,
301,342,080,952,872,598,732,628,495,808,691,376,130,461,670,863,293,968,912,
711,143,841,409,789,435,816,114,135,980,604,952,098,805,614,066,677,920,160,
865,438,622,593,799,712,717,470,501,350,361,260,982,282,415,701,101,957,187,
345,114,754,701,340,231,537,998,796,440,281,737,489,038,882,688,377,968,969,
042,652,842,615,337,936,672,385,285,479,653,663,540,367,623,868,532,917,037,
731,437,654,360,043,009,971,758,008,941,456,021,259,109,875,463,233,539,281,
288,821,324,074,576,469,360,302,328,280,809,374,632,178,123,734,084,359,419,
884,665,470,816,016,829,636,180,378,685,258,440,357,164,762,917,242,343,300,
441,210,642,972,897,936,957,477,081,899,020,068,541,924,140,996,623,147,744,
992,047,538,543,135,874,223,554,418,647,814,048,752,541,581,287,895,584,384,
306,231,678,134,416,086,966,760,406,724,546,885,347,146,809,313,846,938,777,
583,795,452,761,242,199,631,319,348,740,546,635,207,993,658,915,431,977,563,
171,514,943,540,915,604,035,581,103,264,875,038,045,297,873,301,212,418,571,
645,257,906,663,571,643,615,596,769,297,642,569,599,925,329,197,024,932,005,
395,271,222,527,135,680,001,401,709,187,928,349,708,296,082,887,121,558,564,
216,843,353,220,099,784,904,543,880,528,293,043,228,608,112,731,652,339,594,
072,965,089,619,676,301,187,244,924,636,965,792,599,379,510,272,954,149,410,
734,460,296,759,600,959,224,387,860,151,099,272,414,527,545,132,080,273,862,
003,826,854,702,280,873,081,749,742,401,041,599,031,197,048,082,739,068,041,
144,325,964,833,743,016,883,546,953,110,984,577,616,552,272,096,991,572,898,
699,556,975,782,383,637,503,035,384,913,100,058,537,048,236,026,052,987,747,
635,704,127,534,888,872,367,148,025,341,987,241,214,395,118,580,452,259,261,
584,348,679,660,701,591,475,306,500,623,772,684,588,680,781,238,448,957,230,
683,552,146,070,092,607,651,621,298,315,171,441,982,742,687,733,764,913,887,
740,381,695,946,089,193,591,914,506,681,330,255,247,461,459,138,061,879,805,
736,184,653,368,147,142,388,938,802,756,996,842,406,758,423,401,235,938,727,
208,400,607,622,748,773,147,642,941,995,129,081,306,439,884,035,950,687,809,
894,995,577,789,699,396,175,492,728,211,265,158,355,007,928,593,308,567,127,
856,621,904,192,663,290,654,642,206,767,040,047,024,221,968,466,252,921,832,
548,885,775,361,220,845,140,965,700,303,912,671,317,706,076,247,192,932,643,
004,902,721,296,202,795,231,059,126,691,244,254,081,389,280,676,250,350,047,
326,889,762,721,462,556,337,579,077,369,404,876,540,011,962,102,487,533,573,
595,163,271,990,833,774,006,525,121,703,390,605,822,824,716,077,221,259,522,
992,310,958,497,728,261,475,006,058,737,868,374,409,068,845,332,724,942,447,
598,385,328,613,405,382,028,340,222,233,230,637,453,373,592,878,498,537,067,
415,057,093,669,843,786,584,906,648,735,876,293,592,197,336,597,999,236,300,
874,843,340,821,091,740,829,838,054,915,383,638,726,842,635,322,890,352,406,
196,236,876,952,730,505,414,763,055,225,043,181,471,191,920,829,000,739,552,
623,996,584,790,896,265,907,750,581,348,124,810,077,184,639,900,587,714,397,
865,916,146,063,562,742,848,589,798,467,957,526,899,287,523,954,023,546,124,
543,472,328,205,128,129,211,533,178,571,231,875,173,301,347,765,369,288,002,
389,759,422,992,778,282,367,508,785,359,097,129,969,294,799,726,086,035,599,
973,791,540,548,258,380,810,071,840,920,764,159,888,846,537,332,055,071,928,
117,852,790,556,072,046,296,225,398,538,232,297,554,726,431,155,564,861,568,
544,418,942,599,474,875,017,318,612,466,314,580,267,300,534,039,917,215,473,
291,805,188,851,643,925,445,535,244,124,272,997,008,889,439,083,760,429,996,
744,411,777,307,332,421,898,782,740,450,327,658,664,414,425,238,124,184,264,
087,854,341,306,808,875,244,827,221,180,295,868,914,619,900,596,082,780,565,
958,803,173,407,044,090,319,781,517,869,236,052,203,306,697,616,773,077,503,
356,349,919,808,925,684,900,554,954,688,511,921,367,834,254,220,492,379,096,
539,765,899,731,573,266,015,365,136,330,877,835,492,942,826,687,424,028,967,
454,694,094,702,407,071,348,526,628,507,307,886,848,363,202,426,839,599,056,
419,863,900,120,564,892,036,918,804,608,664,522,599,400,684,998,563,899,014,
543,301,074,677,039,257,868,382,164,920,617,710,449,728,338,283,616,512,072,
255,694,948,311,461,313,373,176,319,094,274,063,990,774,268,718,447,116,097,
894,082,258,707,163,031,491,891,979,833,451,483,597,596,202,729,658,217,913,
483,922,161,257,308,669,853,264,389,069,889,440,202,324,792,082,005,927,130,
430,701,198,423,176,058,507,588,343,110,573,430,663,822,928,804,163,779,510,
148,327,851,769,445,096,760,519,513,841,787,594,547,761,480,997,554,881,699,
066,102,611,612,398,471,443,745,196,944,087,842,507,441,333,050,348,410,200,
432,130,697,795,120,024,977,249,517,210,963,527,230,803,504,930,190,008,348,
252,327,227,589,192,471,997,565,948,028,480,068,636,136,871,559,742,118,376,
336,405,487,744,766,859,357,639,437,344,556,693,761,365,199,462,858,805,455,
248,314,248,910,837,494,601,544,107,978,830,121,942,577,747,549,082,008,794,
947,447,140,541,223,270,030,334,540,139,019,935,399,388,143,093,792,037,425,
378,382,115,625,406,081,302,281,855,177,269,574,892,163,253,355,924,106,619,
058,590,624,991,496,961,531,777,590,901,350,063,923,562,384,099,199,032,443,
656,002,209,909,679,193,198,464,669,516,760,316,207,367,620,306,917,071,181,
907,714,610,282,284,089,127,863,993,438,941,416,181,168,029,533,242,264,821,
042,034,172,680,797,091,148,042,209,583,643,416,025,211,423,627,034,153,261,
141,909,404,027,750,642,998,051,429,716,244,790,377,363,537,772,332,668,851,
533,275,225,087,230,185,730,490,567,601,164,715,674,850,022,759,128,899,875,
445,556,602,014,941,705,690,406,774,391,985,151,842,716,487,461,728,025,703,
381,493,100,140,098,180,786,889,189,906,125,467,090,039,871,280,776,138,867,
199,982,495,630,607,826,379,167,803,671,338,113,711,480,890,607,130,670,782,
514,652,894,110,417,604,038,821,870,922,727,388,846,714,718,809,807,141,707,
228,697,567,050,748,788,850,112,857,520,598,904,737,960,221,730,832,300,862,
054,173,596,814,163,152,420,778,590,343,971,186,106,143,894,462,566,498,271,
139,881,114,410,515,882,014,573,985,663,044,545,050,105,048,717,761,216,985,
568,116,539,931,043,423,360,761,390,415,638,914,725,168,393,263,723,744,305,
459,068,593,037,925,421,915,342,204,654,881,360,201,504,227,276,156,077,794,
883,332,762,154,308,841,466,217,937,450,396,362,393,973,735,335,075,001,235,
994,568,621,183,897,408,274,270,379,411,456,867,721,681,234,234,277,086,007,
494,057,743,060,093,658,805,499,015,900,547,791,387,092,600,946,544,795,454,
416,832,847,160,079,725,758,818,171,478,820,263,665,548,348,267,287,879,478,
484,086,846,030,174,672,707,272,076,975,941,704,653,183,849,457,141,114,668,
837,672,835,466,663,995,098,740,818,651,274,884,854,143,634,916,510,992,313,
732,459,449,414,592,424,291,469,337,641,214,265,925,005,638,340,071,701,746,
215,131,825,778,102,316,509,447,509,464,863,086,527,793,731,868,786,090,234,
381,327,015,376,496,026,281,724,904,379,297,956,861,843,045,775,736,527,496,
678,222,251,958,978,371,752,578,022,291,460,283,782,861,337,492,843,102,617,
100,099,854,823,095,301,743,468,418,481,928,924,264,997,193,309,268,963,467,
997,203,484,541,407,518,317,678,814,965,462,266,132,186,166,790,255,052,467,
992,001,010,188,818,720,356,450,385,652,943,956,479,168,853,473,673,388,024,
448,091,598,462,012,046,418,243,685,958,947,152,813,907,863,778,672,587,996,
788,603,746,446,409,630,027,423,169,102,376,922,269,760,943,507,681,874,702,
631,569,112,010,369,593,651,754,127,111,289,469,902,279,837,345,277,584,120,
853,104,109,326,673,745,188,835,734,031,034,303,735,505,825,091,858,309,325,
842,522,534,607,704,719,292,521,899,477,103,000,578,267,539,260,020,074,311,
365,048,877,450,980,825,980,480,289,746,644,244,743,310,650,069,774,789,108,
660,586,774,356,389,515,456,310,094,192,740,073,163,799,555,417,787,926,310,
952,423,951,217,750,998,878,566,763,015,582,171,480,343,487,346,729,470,803,
728,843,539,811,812,728,811,224,390,905,685,552,783,686,848,574,121,702,562,
125,750,780,467,577,113,751,319,220,076,596,648,557,631,225,254,147,975,404,
810,161,108,611,130,245,321,243,070,527,421,098,830,486,670,882,143,054,607,
615,060,175,116,228,755,458,597,615,665,669,066,007,604,618,105,012,864,333,
950,112,729,197,691,129,543,723,977,959,261,042,137,447,782,891,079,280,962,
791,557,012,944,120,032,123,613,122,769,900,366,798,381,705,210,697,399,707,
269,768,201,139,072,236,395,406,856,617,975,654,325,986,558,386,141,281,672,
357,170,653,399,284,655,413,270,800,813,112,289,364,658,688,978,521,879,838,
470,949,983,261,775,141,833,904,080,532,334,435,575,212,352,689,358,250,739,
098,921,621,739,964,386,261,262,230,293,731,593,750,418,288,298,461,525,031,
344,155,491,176,627,668,807,782,272,891,785,407,428,488,828,365,005,171,719,
794,496,571,724,413,672,325,211,442,787,621,161,543,601,545,660,114,658,528,
502,994,702,347,020,909,055,375,124,680,660,971,927,666,128,876,703,764,159,
102,214,439,266,555,941,168,981,111,987,534,088,988,190,526,206,003,589,767,
997,597,020,880,254,255,670,914,975,511,525,911,037,750,101,252,058,139,166,
616,521,245,376,652,425,026,130,254,222,994,969,934,639,943,707,475,903,766,
047,365,174,044,944,912,668,590,468,399,218,396,865,834,755,976,557,604,822,
429,277,654,079,566,874,405,668,586,707,826,583,327,811,184,207,581,958,687,
750,003,059,557,385,733,414,631,946,757,999,940,951,901,866,846,817,489,557,
740,085,271,797,560,537,996,172,578,182,528,715,294,716,031,295,174,814,270,
850,542,180,434,785,432,027,851,335,398,024,784,443,166,400,744,017,415,207,
046,728,416,088,809,150,580,814,432,958,734,952,736,062,333,730,748,011,222,
455,672,670,717,747,100,374,719,060,762,707,023,093,610,208,520,769,254,573,
477,986,271,566,716,192,152,707,718,640,337,812,206,943,659,041,665,330,895,
398,789,339,985,978,859,351,849,332,530,627,693,055,445,453,742,494,686,325,
769,860,371,605,157,063,472,680,640,120,850,419,326,536,548,213,068,013,390,
866,529,134,317,946,396,321,953,276,552,633,385,654,506,814,955,072,709,421,
171,714,686,935,039,319,879,763,613,322,280,256,322,127,659,249,285,727,019,
642,475,461,180,267,572,644,281,922,000,307,592,267,677,814,387,230,484,950,
897,190,578,779,201,519,608,983,737,280,014,119,475,349,023,315,744,467,882,
238,732,145,645,457,355,316,108,334,802,210,411,575,192,331,735,666,248,685,
169,008,600,031,423,265,350,908,750,653,734,392,342,715,765,857,624,019,119,
592,434,640,533,885,597,982,784,146,496,457,440,016,654,285,442,671,329,719,
946,861,935,133,500,658,398,354,775,871,984,555,065,925,819,530,757,002,349,
486,198,096,520,537,683,937,502,160,498,097,584,907,685,117,019,140,444,486,
296,843,636,062,987,045,475,243,800,773,166,109,640,592,598,870,925,804,924,
003,704,345,697,371,489,239,678,060,002,140,338,968,134,966,005,190,811,184,
937,744,422,186,621,811,895,440,826,598,469,636,124,273,098,711,200,757,865,
472,125,855,289,992,712,406,258,375,599,587,617,340,239,679,683,606,835,727,
756,960,411,451,298,022,729,228,806,082,405,012,307,475,044,918,574,617,918,
558,209,818,767,466,313,581,577,314,041,393,669,411,094,264,772,768,378,553,
682,666,387,789,244,722,383,363,609,229,362,063,825,039,266,949,083,886,160,
361,895,587,240,354,902,696,182,605,259,616,973,315,716,912,894,643,955,823,
969,417,519,861,505,696,153,637,521,184,052,707,248,511,311,946,660,661,202,
649,370,678,895,132,419,873,973,530,279,243,924,098,883,449,861,518,007,601,
641,821,828,568,631,841,667,497,304,395,636,138,285,873,652,980,118,045,175,
395,639,534,694,661,562,650,385,304,735,817,398,884,281,728,211,054,231,623,
238,154,634,569,519,155,032,103,226,879,773,242,226,954,696,320,380,835,564,
772,732,542,778,701,650,551,822,778,746,564,887,498,573,771,947,578,781,763,
581,358,006,366,990,035,566,032,987,135,560,982,785,044,406,406,934,373,270,
176,387,121,022,329,805,574,559,229,021,161,306,883,708,798,758,185,426,848,
581,336,938,913,094,612,971,052,272,600,935,452,058,048,458,766,739,721,786,
640,878,328,586,728,277,033,532,717,775,327,031,909,824,847,781,294,823,336,
267,541,246,453,938,554,165,440,078,085,214,846,344,393,800,906,745,008,484,
869,855,583,265,567,517,555,729,141,300,395,527,389,931,735,052,443,157,519,
004,073,787,748,948,045,917,998,996,545,475,019,480,326,270,527,845,463,468,
700,416,381,723,875,322,425,685,427,127,067,277,652,056,270,860,359,816,573,
940,841,655,766,271,357,407,158,162,615,625,570,338,429,545,801,712,318,569,
505,349,317,121,534,042,301,929,816,353,476,261,066,313,977,864,689,470,234,
478,348,688,475,046,344,058,839,632,631,417,998,165,782,534,528,288,130,265,
782,943,897,148,833,613,068,536,126,462,002,255,963,804,541,669,852,538,939,
009,418,405,705,211,547,402,512,556,954,578,298,517,924,712,852,765,765,173,
709,209,315,993,064,527,671,621,849,115,611,015,183,245,352,138,388,148,843,
134,318,449,934,450,292,758,786,203,842,596,210,448,342,083,074,105,221,932,
515,336,133,629,445,355,529,266,753,849,354,324,846,362,474,742,956,089,797,
021,785,107,185,691,354,324,310,336,624,771,122,125,991,330,827,274,492,126,
788,583,500,549,451,959,710,897,431,899,996,904,616,490,976,873,975,812,907,
241,579,397,506,905,318,486,764,375,114,330,310,849,965,620,897,977,690,005,
286,555,143,101,822,683,129,009,128,026,461,499,010,356,050,228,750,948,296,
660,528,644,113,221,097,529,043,136,991,383,620,516,220,956,464,439,762,891,
461,997,916,094,897,021,994,716,811,499,904,834,064,915,617,070,366,611,127,
580,076,010,131,569,637,251,524,821,532,386,722,309,880,910,087,753,175,941,
606,354,542,775,292,055,664,352,725,729,483,965,241,794,765,743,773,186,315,
213,915,356,452,326,026,055,360,621,000,271,766,320,233,443,893,895,427,171,
226,814,541,424,813,007,805,997,023,438,507,312,023,142,190,624,750,465,766,
213,819,416,437,158,843,020,484,138,981,672,603,779,913,257,687,686,598,043,
453,785,997,319,099,561,486,528,625,737,056,440,426,446,913,337,399,685,916,
466,603,648,061,880,828,849,855,536,347,266,700,068,324,566,927,414,008,760,
607,109,768,756,587,684,599,282,520,880,601,371,840,432,421,597,675,979,419,
905,255,481,952,351,837,928,309,121,534,264,054,366,504,471,412,773,262,636,
690,254,412,750,453,480,385,019,571,287,724,155,924,400,807,410,708,650,548,
488,551,921,493,511,019,506,378,189,686,132,489,885,072,532,323,444,786,624,
681,649,108,687,985,675,608,845,037,731,758,121,471,712,912,921,772,362,992,
591,143,849,507,912,348,621,092,450,549,545,878,226,256,461,306,013,211,044,
754,958,185,339,128,254,611,482,954,107,818,513,935,106,798,066,200,267,359,
415,658,924,307,041,096,035,476,261,737,872,566,199,754,410,813,070,784,182,
792,338,746,113,681,561,294,248,407,431,018,080,744,745,070,711,991,783,330,
882,918,398,420,039,633,473,507,254,597,775,539,996,334,503,782,222,658,762,
969,287,088,749,864,908,149,163,589,019,301,430,316,509,454,881,980,909,386,
745,674,102,193,262,311,316,662,441,579,716,079,646,735,523,799,375,601,421,
285,311,503,536,186,315,970,664,157,051,202,223,479,190,231,361,411,624,851,
478,183,555,228,994,718,807,026,116,955,197,483,880,692,119,084,192,603,086,
260,191,788,440,032,021,674,282,389,336,399,834,958,542,902,140,825,599,360,
397,001,632,545,254,257,577,823,783,671,109,048,972,282,575,711,364,872,101,
360,553,120,223,473,331,497,285,784,944,537,910,442,121,363,172,780,831,444,
738,416,429,646,984,077,148,954,708,850,511,434,210,527,582,649,214,091,278,
218,848,747,947,760,531,114,959,765,969,508,585,015,857,603,753,339,874,814,
055,247,282,239,743,343,696,437,709,844,405,314,065,856,546,385,129,743,740,
576,655,772,635,801,363,189,263,673,288,274,667,940,046,510,848,647,754,360,
015,352,011,516,389,770,874,665,278,456,806,153,595,685,077,997,234,883,821,
268,987,754,815,287,255,555,732,034,480,297,581,972,909,619,433,965,231,404,
382,916,490,375,679,424,452,411,382,978,839,023,984,317,047,349,103,162,079,
805,709,340,036,989,205,503,173,337,962,706,757,695,050,849,706,517,283,993,
009,012,393,549,099,746,050,722,326,890,124,913,144,109,407,899,314,638,363,
530,831,722,329,111,539,643,345,069,394,953,131,473,081,929,181,667,390,176,
954,924,603,895,023,768,572,339,958,984,096,809,340,283,723,713,880,854,300,
283,834,145,450,497,824,944,795,751,863,442,166,240,450,796,817,479,608,459,
547,055,998,263,634,134,762,723,003,060,995,909,394,959,886,652,269,571,774,
570,489,058,398,393,072,155,237,635,359,330,683,741,764,365,608,571,517,347,
870,824,734,103,149,188,556,707,557,808,557,505,521,248,938,182,265,288,047,
292,761,965,029,063,036,640,150,910,737,101,092,046,906,954,831,071,728,434,
207,591,112,545,891,675,336,732,374,906,441,388,568,586,719,869,950,490,058,
968,920,530,343,837,122,323,585,519,182,456,321,091,275,676,617,133,168,522,
745,025,653,374,578,054,410,880,634,971,701,301,376,440,507,962,829,709,284,
616,621,888,619,096,287,634,414,853,447,172,898,874,713,606,515,059,780,096,
021,263,425,977,914,607,846,853,658,518,311,315,765,447,137,367,910,292,015,
074,013,813,751,967,265,419,152,973,691,203,498,165,493,754,492,587,444,163,
345,174,956,053,601,930,164,566,178,767,661,526,136,763,390,595,964,121,135,
247,665,201,842,566,331,165,262,207,816,168,865,816,986,509,467,747,759,810,
763,075,752,335,058,644,941,320,511,798,089,157,956,558,958,853,106,174,499,
229,514,666,940,776,093,139,965,211,026,532,124,120,711,984,137,649,294,908,
159,043,357,742,154,587,148,127,837,969,705,238,870,622,646,103,606,196,315,
396,356,161,561,367,279,703,583,687,255,359,563,930,099,271,153,239,293,111,
133,197,075,530,117,176,344,987,653,155,442,673,582,375,067,691,028,887,881,
972,146,579,735,819,725,312,258,863,549,266,097,915,718,106,200,934,377,687,
139,764,869,928,932,193,813,266,876,005,512,246,783,949,551,951,961,581,716,
266,222,118,667,647,015,897,928,140,148,391,595,301,725,613,248,643,976,153,
377,875,773,843,308,212,447,039,645,761,122,535,548,400,446,636,795,804,304,
142,847,977,826,606,267,839,086,765,277,064,534,533,637,322,167,327,206,761,
147,631,970,982,495,403,236,821,743,424,142,560,432,882,254,461,643,813,013,
861,795,180,268,185,876,272,138,656,592,314,576,774,994,834,795,763,225,241,
313,264,541,170,807,420,226,808,520,441,573,078,179,554,341,415,064,314,862,
096,971,214,771,016,449,811,657,144,561,163,073,236,295,731,994,919,384,858,
456,699,932,459,047,566,232,629,700,484,079,920,858,633,155,805,439,046,329,
876,285,609,107,632,174,791,578,260,046,334,783,094,230,017,664,533,385,844,
858,237,155,782,701,895,536,476,957,778,800,188,889,804,023,666,466,491,776,
628,420,821,603,515,073,630,333,711,984,431,544,439,371,118,510,187,152,172,
166,391,603,757,773,891,747,628,990,608,329,004,839,132,670,293,601,622,666,
017,057,323,226,204,489,577,334,722,586,654,518,699,418,001,203,421,825,813,
214,840,467,643,018,249,632,437,048,512,472,898,257,737,350,652,953,798,578,
173,969,756,380,573,964,779,298,670,202,607,455,825,822,959,039,319,146,426,
074,100,545,448,969,104,476,261,635,497,156,428,036,153,811,830,269,948,488,
978,435,090,573,201,785,301,800,068,768,084,654,684,181,696,566,694,025,820,
887,247,578,711,870,851,106,712,750,299,008,176,877,187,857,858,231,686,492,
599,380,288,188,373,275,159,653,236,517,096,945,326,941,067,119,595,908,993,
524,033,376,155,652,558,542,930,635,148,011,188,799,314,888,850,419,605,398,
726,327,370,249,665,388,632,310,585,495,409,795,295,351,664,150,153,470,578,
793,873,004,784,207,316,135,662,680,659,603,680,213,455,627,548,340,470,628,
896,607,547,113,869,921,213,940,771,635,992,609,810,410,560,863,923,669,506,
168,726,203,340,276,004,024,583,143,979,895,582,320,203,110,210,816,446,581,
691,646,754,696,507,092,692,492,776,112,742,137,011,261,437,426,890,331,847,
316,304,155,716,906,758,334,844,875,216,204,835,967,027,768,989,823,439,345,
429,811,120,525,276,342,805,810,094,143,434,675,902,858,601,109,718,749,620,
874,788,699,280,376,202,178,978,151,025,777,771,224,457,445,170,921,305,696,
783,822,620,557,950,548,396,187,252,490,656,243,412,896,026,502,554,712,002,
093,782,419,733,876,691,866,203,572,692,812,224,213,380,153,117,543,396,057,
284,290,178,460,150,131,586,562,219,299,175,205,983,861,667,638,205,916,197,
710,408,373,622,280,548,690,185,219,934,716,249,799,575,373,517,782,336,289,
431,757,698,775,806,542,921,764,716,579,415,852,627,985,853,718,705,521,771,
632,198,218,961,573,828,944,554,636,416,543,783,182,512,724,060,266,480,479,
017,468,705,941,099,443,399,993,777,937,649,259,997,759,605,772,547,206,189,
716,199,080,758,353,595,369,750,523,479,821,630,759,867,440,532,675,930,613,
051,253,243,916,399,827,476,959,550,864,871,366,784,107,402,320,370,508,411,
598,496,178,854,812,854,574,919,503,863,945,114,411,431,309,058,749,066,160,
519,573,934,046,897,893,239,212,811,982,143,295,884,867,475,208,251,979,350,
182,448,090,405,761,184,745,104,908,731,070,672,380,052,559,449,917,830,359,
310,331,084,920,562,577,372,034,303,178,268,885,707,192,808,904,336,783,700,
114,956,735,757,211,642,128,762,067,404,215,997,518,089,194,660,546,965,577,
037,653,196,626,480,029,849,779,926,468,451,212,085,477,299,474,398,410,149,
998,469,683,929,313,521,088,385,370,168,328,787,310,977,895,136,827,787,217,
001,469,551,563,602,263,088,391,094,314,064,862,492,979,591,145,935,434,475,
172,539,568,767,738,900,552,504,135,149,022,606,257,235,369,832,151,130,535,
318,379,190,169,952,060,361,602,379,713,748,817,142,653,286,335,790,669,224,
545,905,990,708,559,232,380,241,621,071,191,817,914,513,403,177,265,133,053,
298,592,747,553,856,924,817,795,735,933,981,510,337,190,299,558,100,761,129,
667,281,408,166,190,721,694,792,216,119,711,597,650,559,980,129,915,879,478,
013,371,896,430,122,133,622,727,705,601,505,010,058,382,537,050,541,223,903,
990,582,841,905,258,788,543,639,795,112,360,073,233,380,866,530,058,445,010,
221,721,545,134,229,932,641,653,098,520,271,696,471,336,940,293,589,083,355,
533,451,973,958,832,427,137,443,365,766,365,019,817,239,303,819,605,269,005,
756,362,677,219,264,336,482,441,335,335,061,659,840,732,717,201,552,167,579,
434,714,715,715,022,496,319,443,304,635,551,786,051,590,652,031,379,731,984,
731,711,122,916,892,339,391,297,982,218,752,350,774,371,760,873,219,351,256,
009,894,489,788,939,947,397,200,697,561,965,638,441,022,750,768,523,680,161,
436,152,476,246,409,344,758,662,200,610,653,039,624,697,081,969,450,684,099,
992,270,057,561,802,131,558,712,684,995,952,421,265,673,393,611,197,210,694,
075,534,938,322,550,575,670,156,500,731,859,172,295,438,638,519,663,103,304,
836,814,096,288,962,859,596,555,270,928,033,456,531,177,447,613,781,984,124,
575,993,137,511,393,301,703,039,665,050,817,502,900,076,302,612,079,685,516,
863,917,652,234,462,725,122,221,730,038,116,803,596,352,051,900,947,467,940,
459,414,879,964,883,714,654,193,442,815,942,724,582,789,788,294,699,325,252,
648,386,607,441,774,865,152,952,898,713,654,587,151,159,537,740,826,169,610,
819,568,732,495,025,909,314,779,859,325,527,491,016,568,344,575,483,728,216,
851,464,377,424,151,979,428,866,090,658,770,110,340,483,091,794,563,601,135,
713,731,996,294,450,975,971,963,710,731,695,591,236,089,274,676,036,558,820,
895,017,737,585,925,931,229,528,877,596,181,602,570,284,187,482,727,871,725,
365,332,897,510,053,766,167,406,997,078,585,987,801,478,009,331,135,519,044,
394,400,255,972,154,950,896,269,537,635,793,876,083,703,270,023,915,434,889,
208,281,235,372,995,966,777,800,133,530,912,643,990,785,347,335,708,213,877,
404,351,405,675,783,319,942,651,395,830,424,389,363,324,580,558,926,965,874,
831,260,179,817,317,394,459,077,986,801,528,575,658,025,380,631,016,123,234,
945,960,273,056,087,426,330,290,383,557,981,118,890,415,614,448,353,933,280,
663,913,198,010,924,796,302,255,209,987,223,734,029,975,782,713,461,625,446,
611,605,266,383,822,210,165,800,607,154,499,492,961,253,422,428,096,756,896,
702,451,416,462,912,858,203,049,976,863,951,677,530,987,245,938,692,547,122,
078,528,338,487,796,117,999,171,420,299,287,569,622,022,225,266,752,426,558,
834,119,406,876,495,529,673,894,832,861,710,185,316,437,929,715,892,875,163,
523,234,259,233,900,748,748,408,170,338,063,498,744,091,772,597,934,263,598,
790,168,116,209,087,207,689,932,366,562,393,056,084,156,860,107,881,149,451,
830,580,321,416,244,079,384,362,956,474,288,766,995,621,645,965,768,852,698,
815,960,330,687,501,485,730,050,869,100,273,541,893,415,525,813,637,600,880,
015,154,358,893,798,732,089,893,317,963,013,896,317,956,082,947,656,130,106,
835,486,124,200,537,740,521,863,323,786,333,776,367,987,959,192,567,447,880,
988,729,997,916,011,079,271,042,078,941,110,187,947,888,435,201,207,695,144,
685,594,424,170,659,979,652,945,580,005,045,904,620,680,633,251,202,484,255,
424,026,052,165,750,504,725,486,599,982,347,933,341,899,395,219,953,379,545,
971,862,627,364,186,409,518,891,009,094,536,202,648,818,222,357,513,846,186,
723,437,426,712,686,174,501,963,438,250,477,619,978,538,684,807,545,729,783,
664,442,369,798,180,071,914,464,177,048,217,463,632,223,149,638,156,644,155,
168,913,292,470,383,033,921,505,382,472,649,309,487,623,968,452,522,764,063,
382,530,619,908,680,403,458,321,292,878,125,578,377,217,243,088,173,559,884,
654,243,792,609,376,380,908,837,654,230,451,781,057,294,346,501,844,808,334,
274,437,974,077,985,838,889,366,199,838,841,968,871,479,392,455,084,077,348,
178,495,223,916,072,164,885,061,725,853,942,536,531,772,703,252,810,128,694,
367,017,168,458,314,867,681,976,807,545,408,503,109,020,290,826,712,667,485,
820,697,456,811,718,067,629,941,022,958,540,003,457,338,349,819,400,591,565,
022,384,861,720,395,709,306,475,887,359,997,740,083,851,617,266,221,875,207,
109,982,552,981,792,010,947,515,658,656,171,855,618,753,068,404,147,660,509,
885,290,859,170,047,613,502,170,534,090,355,134,278,820,190,328,552,581,656,
891,233,153,123,482,258,940,778,242,110,991,870,829,800,859,376,672,819,567,
513,837,977,523,535,499,876,806,817,018,322,547,559,763,029,593,988,020,582,
554,666,566,642,367,111,112,446,490,012,367,284,435,242,745,495,308,430,027,
117,184,394,114,511,663,459,502,321,478,565,539,312,015,299,732,141,201,705,
250,515,590,514,524,653,599,613,505,318,426,457,073,792,440,807,283,618,758,
441,163,212,544,361,807,730,491,663,912,295,545,665,874,514,448,060,760,670,
391,618,710,143,122,483,606,510,893,728,850,699,815,647,159,377,927,539,182,
915,072,455,338,719,429,126,052,386,053,802,748,049,505,772,840,148,156,115,
026,515,607,019,877,560,363,799,419,546,449,245,174,347,210,756,903,144,976,
703,081,311,268,698,682,262,175,447,681,999,033,921,640,987,819,430,965,837,
190,545,484,325,897,960,292,294,832,891,112,910,853,451,249,913,197,139,117,
075,057,632,675,418,611,630,372,407,226,434,608,218,429,362,251,748,269,378,
657,163,787,034,749,970,879,079,212,976,199,567,504,282,213,614,471,618,648,
810,811,302,648,151,954,446,156,847,540,994,681,373,259,277,363,552,930,104,
316,237,240,452,958,875,722,282,815,020,338,902,276,606,318,418,544,060,599,
953,470,675,237,049,868,347,187,870,186,128,038,106,245,850,901,572,508,077,
719,695,848,908,011,480,138,732,643,698,942,630,043,172,294,368,038,855,285,
652,859,034,102,669,015,168,340,302,402,226,622,355,783,996,121,800,952,530,
711,065,287,849,947,931,517,089,422,424,658,710,345,339,786,515,742,296,526,
254,152,625,386,933,958,594,876,528,205,866,081,279,495,307,002,004,799,438,
846,957,877,533,094,783,159,474,833,884,732,449,769,424,054,457,854,133,863,
982,009,545,472,249,098,656,943,301,514,511,532,448,038,635,458,488,711,592,
976,474,960,097,362,632,710,798,139,366,483,312,890,287,255,068,526,245,463,
822,061,521,077,171,583,644,158,374,516,962,818,891,610,058,739,378,265,669,
582,168,416,653,369,930,862,796,840,714,926,065,316,306,033,744,280,477,102,
670,473,884,820,977,068,261,987,706,287,947,418,637,185,456,441,283,296,974,
809,821,959,895,868,758,057,622,092,069,098,505,874,559,000,349,437,356,492,
348,397,553,796,533,096,685,635,050,926,158,649,340,113,392,486,580,035,747,
254,519,558,269,509,828,407,020,191,440,295,879,944,054,060,337,614,183,334,
557,879,893,527,920,965,035,507,797,995,248,369,125,997,744,094,002,441,552,
726,179,207,599,181,481,540,454,046,498,846,469,037,879,599,649,492,890,532,
708,658,885,821,202,107,982,540,738,062,216,739,280,087,431,563,793,878,320,
711,650,168,591,169,557,142,622,149,405,520,035,237,858,447,919,186,299,430,
787,817,227,751,151,344,202,218,926,662,673,446,559,041,899,119,068,758,928,
303,498,473,364,584,190,032,278,474,839,887,528,335,549,438,146,256,120,329,
055,272,979,620,661,426,731,625,499,964,852,571,264,871,122,259,659,496,066,
034,679,667,257,600,406,066,476,655,126,886,189,676,001,104,359,653,101,434,
585,228,163,177,851,251,150,748,696,220,240,092,657,781,555,332,244,597,384,
982,264,055,105,221,673,576,104,921,221,580,187,022,574,480,190,834,004,879,
230,991,402,026,614,096,160,762,916,557,459,331,299,921,345,673,993,972,332,
270,126,374,115,855,331,702,253,002,653,248,698,530,012,443,766,166,763,337,
627,026,346,895,753,856,220,169,523,493,694,160,732,962,716,045,039,122,164,
958,160,870,492,101,819,049,471,140,888,855,752,124,241,880,660,020,847,729,
294,636,427,798,389,512,474,381,486,394,666,976,193,951,443,641,645,884,828,
539,403,514,090,828,169,063,202,844,760,289,918,807,075,662,024,140,758,745,
804,722,885,427,987,991,028,802,150,216,884,595,836,708,944,256,937,326,848,
208,551,434,763,645,729,237,004,055,116,874,292,473,379,500,976,746,838,731,
878,257,006,400,657,468,047,034,985,271,980,890,526,438,837,896,703,851,533,
399,362,225,492,445,704,675,627,667,778,206,907,258,432,927,497,976,239,462,
896,415,811,891,305,380,505,720,345,327,737,245,650,432,315,058,807,165,553,
538,723,642,257,123,274,312,331,689,724,360,033,432,872,846,321,097,110,349,
594,353,316,783,289,123,276,989,621,785,949,975,578,297,867,305,855,604,401,
531,021,517,985,877,472,880,004,144,075,024,807,103,709,551,446,063,187,932,
826,917,652,799,590,804,651,644,729,136,411,475,289,886,926,748,266,543,564,
231,660,511,198,323,157,278,004,061,326,055,854,213,613,594,185,627,308,182,
915,071,110,109,132,579,190,060,452,030,848,283,815,967,162,328,666,739,041,
000,801,597,837,142,410,988,730,121,616,300,887,427,348,887,591,262,474,760,
400,806,968,327,248,588,976,483,070,930,939,299,471,643,140,495,221,535,942,
947,623,434,189,082,624,423,764,938,392,817,577,327,141,265,492,382,406,296,
470,399,217,646,043,626,501,604,555,126,197,108,082,866,447,253,449,762,358,
343,253,728,999,624,479,431,524,580,807,790,203,641,212,953,476,699,096,637,
120,520,208,629,047,333,019,228,094,140,489,144,012,670,205,299,079,553,529,
365,988,525,463,685,337,322,124,890,284,183,230,687,255,807,262,786,591,130,
169,429,595,718,801,358,052,441,581,372,578,765,184,605,655,694,036,074,080,
936,082,318,363,475,119,819,180,223,190,840,377,472,828,050,900,505,414,211,
854,460,447,283,351,809,355,489,725,897,742,121,947,595,839,780,339,688,448,
160,745,291,735,059,570,235,577,446,362,405,994,382,540,521,057,214,097,970,
669,396,011,059,515,780,434,406,922,757,878,472,026,338,287,998,316,856,472,
893,663,707,465,448,808,793,534,097,890,326,081,444,011,000,086,315,836,276,
707,810,294,637,466,471,696,595,922,210,971,547,489,652,220,234,909,359,592,
377,915,885,882,568,335,513,701,617,261,520,877,171,511,837,133,945,531,794,
978,624,502,301,054,503,874,032,614,016,346,822,637,973,050,491,629,629,081,
363,583,537,176,100,797,333,342,740,131,719,143,093,544,877,596,612,267,834,
126,121,486,027,033,521,737,665,358,565,033,722,172,401,612,184,325,808,568,
132,629,784,572,799,918,156,000,638,393,941,316,240,862,947,310,393,272,802,
314,663,833,387,405,116,248,918,713,479,050,730,504,232,982,582,377,961,228,
272,196,140,957,361,433,175,333,367,800,800,333,396,588,589,133,990,497,431,
160,091,606,318,917,235,486,171,374,681,323,798,263,119,318,170,382,826,263,
185,910,538,441,790,885,116,338,220,398,697,562,065,634,777,465,913,620,874,
538,521,527,867,882,573,816,177,262,703,154,654,550,680,733,205,076,851,270,
087,666,456,342,542,952,163,818,362,089,491,957,116,374,389,487,496,711,275,
762,566,723,233,304,909,181,818,426,122,499,357,844,598,251,889,107,380,700,
075,245,743,358,925,702,769,092,282,058,525,060,066,174,348,449,169,463,459,
023,169,081,327,166,098,494,666,208,621,090,947,225,636,581,806,293,535,586,
525,932,856,651,749,835,225,817,020,921,952,021,148,223,729,921,009,431,295,
528,995,588,849,961,032,467,587,391,428,359,804,373,612,300,978,612,635,533,
422,496,219,102,904,069,921,157,896,134,975,561,874,127,481,581,316,441,214,
614,875,516,955,660,147,003,475,703,512,896,639,376,143,815,656,073,220,126,
620,166,875,776,795,911,979,658,442,304,151,066,890,795,256,429,172,694,647,
709,857,718,819,658,963,410,371,874,799,832,628,895,511,804,667,336,296,942,
100,894,734,622,782,028,934,119,026,172,474,231,151,012,450,208,790,376,735,
633,563,136,033,498,136,019,402,313,635,019,760,834,188,103,620,735,203,967,
914,023,745,247,430,276,475,649,586,692,474,087,640,080,067,513,701,494,746,
090,272,048,258,319,604,409,445,998,925,049,779,282,018,758,140,281,132,183,
963,499,347,675,954,099,988,100,638,239,492,641,651,535,695,391,296,337,017,
357,441,174,742,986,995,543,177,684,294,275,123,322,422,566,886,913,187,250,
878,052,731,312,706,800,014,733,123,523,458,325,637,059,107,171,082,159,325,
759,281,166,647,620,898,522,089,106,772,575,507,689,358,394,874,151,872,095,
387,494,784,481,243,299,384,283,250,259,819,627,155,200,457,894,911,006,470,
244,241,723,122,427,987,391,063,020,149,112,138,357,035,991,696,850,389,608,
339,045,948,577,535,739,336,696,933,580,999,772,259,520,362,337,611,085,676,
395,537,144,518,178,265,895,566,364,746,954,311,203,050,253,289,270,404,891,
587,008,447,125,819,191,373,987,237,644,008,603,499,277,191,159,883,028,905,
138,538,768,022,783,736,666,899,547,081,486,258,503,719,606,752,121,015,199,
931,643,292,752,451,004,445,099,798,134,364,916,944,873,090,823,696,054,937,
873,564,174,896,034,236,443,549,741,032,617,588,074,511,787,704,316,248,237,
226,488,384,476,273,929,289,955,092,828,971,841,287,147,654,722,377,436,092,
510,861,131,200,293,598,058,430,052,337,056,321,334,103,583,558,987,367,694,
941,404,624,607,974,430,162,213,617,955,645,768,639,911,910,728,149,900,915,
082,906,456,378,688,166,367,785,808,971,888,364,511,199,653,093,232,421,626,
990,485,583,022,218,266,549,031,832,505,165,930,762,951,560,470,336,238,332,
053,811,513,898,135,855,013,472,083,384,380,817,743,046,125,106,488,080,976,
073,321,017,147,124,428,737,473,649,000,344,716,071,901,495,239,459,713,335,
415,806,495,894,029,565,720,253,383,703,286,005,442,229,416,764,833,444,841,
049,701,036,680,693,225,219,959,048,965,649,915,873,337,436,785,083,315,096,
062,617,017,968,630,295,796,774,148,658,921,608,862,055,105,236,882,865,340,
702,890,511,980,063,162,703,654,112,279,240,030,603,542,529,364,335,220,215,
270,970,632,854,503,828,465,414,896,380,272,397,333,436,734,342,371,590,467,
117,675,228,713,313,413,043,226,517,391,616,267,985,314,033,542,063,199,783,
908,987,651,085,341,163,173,015,153,032,551,498,731,117,082,480,140,515,387,
543,475,718,182,756,117,717,563,892,822,316,308,038,952,955,944,779,286,862,
387,735,962,677,946,992,870,643,218,426,336,385,810,743,794,187,830,596,054,
981,205,434,248,758,055,689,601,268,916,780,381,206,601,947,063,062,091,021,
561,629,173,264,124,476,918,082,109,768,076,485,095,476,776,990,621,630,118,
655,374,900,748,642,244,122,454,812,717,910,956,546,132,900,872,038,675,434,
349,982,896,191,073,291,833,303,739,646,630,678,209,227,951,126,648,187,554,
698,332,158,689,688,290,160,944,276,667,362,901,730,156,194,891,519,919,741,
836,315,323,367,761,271,222,253,199,703,227,487,735,998,485,583,103,658,120,
355,822,056,282,328,232,871,865,541,652,803,168,919,726,542,105,957,622,068,
343,446,398,405,518,241,087,348,170,045,485,634,808,583,162,011,959,057,009,
242,930,972,015,522,661,296,526,761,087,555,470,847,636,997,001,723,273,947,
183,889,455,569,804,243,590,325,583,926,667,232,569,494,289,554,869,937,849,
178,381,361,930,186,397,423,178,815,240,897,240,685,018,968,156,125,678,089,
088,740,098,098,329,367,085,304,031,894,878,344,867,537,889,175,120,889,532,
976,079,889,480,786,291,289,535,956,923,209,122,381,007,802,512,732,304,086,
664,693,848,941,633,250,292,729,847,816,372,036,692,754,591,388,715,520,206,
437,336,061,825,751,769,432,699,746,140,953,590,914,734,626,559,286,923,431,
440,665,574,791,148,982,621,820,797,152,825,715,393,021,763,756,630,251,278,
308,872,229,114,282,804,033,612,448,719,189,291,692,840,399,989,332,680,748,
243,725,043,292,638,872,092,815,932,139,158,738,398,292,495,351,849,853,767,
556,381,357,964,130,824,128,922,712,512,950,855,022,446,570,270,482,353,381,
080,569,893,933,249,965,265,312,259,154,080,956,545,047,421,994,976,390,901,
661,329,553,058,949,933,102,837,339,020,668,000,057,660,097,284,488,506,281,
527,314,619,916,608,929,581,917,637,592,985,364,785,801,702,824,352,248,954,
759,732,113,176,794,822,166,374,548,804,569,637,471,591,783,711,041,196,368,
571,484,883,500,826,335,941,000,491,596,408,974,492,769,474,630,674,116,236,
770,390,736,256,276,608,188,977,359,742,397,939,600,286,456,496,936,305,451,
036,212,040,172,162,192,088,711,981,786,216,850,892,099,664,931,529,475,874,
886,892,479,781,970,576,663,596,364,332,758,189,836,060,115,398,971,448,310,
635,415,894,406,954,177,119,763,046,947,341,985,133,543,143,828,476,727,822,
000,646,283,753,531,615,199,830,852,098,343,570,704,482,686,722,095,843,625,
060,520,561,626,452,963,955,241,637,035,691,174,553,851,025,645,872,550,418,
414,497,306,024,230,961,416,151,141,923,814,420,011,872,029,262,591,212,472,
467,212,870,245,301,215,660,799,570,308,465,494,923,595,522,342,499,910,660,
849,879,853,631,006,653,200,834,601,895,168,719,833,073,360,394,216,604,618,
556,327,859,413,306,252,543,570,453,046,261,574,460,327,722,091,787,656,149,
949,525,786,678,345,429,233,558,479,576,544,799,969,266,790,005,907,666,223,
197,150,715,939,209,326,995,417,709,906,826,236,613,385,396,745,514,232,245,
730,184,440,326,115,188,159,716,989,761,441,820,088,770,748,786,333,766,391,
403,767,429,273,619,096,214,107,067,873,495,921,852,099,452,480,009,847,487,
837,385,892,617,656,090,279,170,054,916,962,583,460,228,853,966,097,741,788,
444,890,724,652,951,961,073,866,784,672,320,167,965,210,115,937,768,402,972,
586,557,490,618,820,450,310,383,804,345,479,012,274,472,957,720,306,085,528,
925,912,441,476,671,815,179,745,257,160,562,292,204,604,545,161,204,474,294,
384,260,778,262,892,681,237,194,636,876,875,084,208,454,294,714,086,094,840,
001,312,044,552,793,830,334,165,491,373,251,394,978,800,722,301,488,639,696,
926,080,628,453,567,571,942,097,556,303,968,869,867,904,029,880,068,802,188,
366,381,674,719,451,509,871,277,821,867,642,778,309,410,134,296,713,505,594,
121,761,212,866,257,931,735,957,191,410,774,700,954,449,576,114,783,149,514,
630,930,134,238,443,345,937,484,176,177,481,479,373,723,792,397,390,471,074,
901,170,991,737,674,548,818,437,488,063,607,623,149,849,019,387,571,582,748,
334,493,680,131,753,009,772,925,131,201,472,983,072,002,589,055,714,909,023,
592,259,311,333,475,968,598,658,295,086,799,068,760,964,134,198,883,229,472,
532,241,313,971,581,164,008,059,783,634,726,435,012,647,539,769,205,734,126,
681,552,938,046,271,264,928,084,009,254,174,113,618,617,713,914,823,941,045,
499,117,893,411,005,911,640,793,078,949,452,895,372,266,348,811,280,462,359,
267,517,252,699,366,927,177,438,030,473,502,392,295,279,679,745,563,193,035,
145,696,396,484,039,889,018,979,396,775,434,566,265,001,948,916,898,613,839,
628,624,624,839,427,339,722,954,731,977,829,950,249,393,011,415,175,118,356,
972,854,104,861,380,950,490,328,000,448,469,222,378,114,455,066,187,337,176,
628,265,656,463,257,311,671,750,465,707,482,325,698,687,910,660,872,814,473,
779,882,521,818,072,382,269,496,756,430,679,567,020,914,072,948,427,792,628,
710,651,605,440,858,426,358,267,107,951,793,358,318,099,182,597,795,414,499,
758,982,096,948,874,105,227,804,776,018,457,946,075,971,983,774,546,942,772,
738,763,088,415,360,977,409,669,780,911,399,018,241,583,799,892,966,674,754,
906,141,217,256,492,049,103,931,401,278,820,008,586,286,113,738,867,785,693,
914,618,724,293,343,599,527,378,397,939,758,535,166,871,823,012,627,417,474,
692,275,181,979,807,336,798,870,055,599,652,672,745,434,460,868,673,604,900,
603,020,604,338,897,412,620,999,454,019,195,684,449,364,298,268,196,581,121,
485,448,677,190,057,555,026,059,813,287,280,820,171,442,085,812,288,493,840,
072,056,506,469,702,240,111,744,982,204,276,109,158,087,396,240,057,407,547,
007,118,047,148,593,361,070,591,290,548,234,700,479,116,931,049,320,043,848,
561,713,800,766,653,509,748,325,366,232,154,685,364,926,581,296,415,991,668,
411,316,179,215,534,022,070,023,578,574,452,968,005,190,157,513,543,295,942,
160,521,695,569,600,535,531,543,560,378,877,574,382,075,607,702,353,868,473,
835,936,995,964,784,157,975,711,937,661,309,985,865,066,425,670,398,866,258,
605,261,765,464,393,166,050,779,243,633,874,798,031,705,330,435,210,071,953,
638,852,086,905,707,481,752,293,554,503,746,058,746,073,349,568,003,949,718,
499,764,223,137,907,515,252,349,343,433,327,988,238,429,573,085,181,959,724,
869,612,772,778,747,703,930,663,408,581,682,559,119,813,763,718,038,057,647,
972,717,343,235,040,245,323,425,652,208,639,941,918,223,233,102,792,111,530,
677,247,594,321,320,068,408,785,117,705,229,759,494,783,791,863,174,657,690,
293,782,502,487,212,506,041,096,415,248,240,759,238,158,091,907,641,486,848,
651,178,945,446,317,574,222,408,296,820,337,997,311,257,909,980,674,748,464,
110,082,899,481,310,364,427,255,256,989,981,677,564,438,136,112,021,569,728,
563,118,132,383,020,029,149,162,804,141,928,789,353,972,237,422,926,355,399,
997,445,122,548,609,081,521,591,170,044,974,666,176,552,782,716,410,727,992,
279,261,565,975,883,376,560,278,403,112,244,775,690,533,067,182,428,692,017,
017,227,530,256,759,455,907,886,590,499,989,321,629,343,506,702,647,770,059,
164,187,908,178,206,665,169,445,440,633,291,463,826,674,339,242,619,579,510,
165,134,475,885,895,482,379,094,549,496,335,399,178,315,713,587,508,814,401,
359,634,469,721,375,631,589,522,074,967,483,153,189,726,741,381,521,528,497,
792,663,308,958,802,384,431,288,083,668,499,694,923,586,106,643,631,678,007,
335,542,720,154,279,738,080,538,855,510,945,620,630,315,555,447,692,116,114,
989,799,343,590,592,899,611,319,061,267,960,033,981,047,533,302,330,721,773,
391,422,256,853,159,063,550,163,727,862,470,737,330,772,055,955,743,315,532,
323,342,063,158,902,976,171,074,586,160,004,679,233,538,512,195,805,552,601,
632,185,421,111,607,335,862,856,435,838,812,158,841,469,305,385,372,395,709,
590,114,877,167,752,932,052,250,228,635,160,136,715,855,091,070,641,425,332,
642,093,228,118,875,620,120,266,972,566,794,597,540,662,859,134,569,709,010,
382,906,569,478,425,136,138,874,434,563,876,008,211,895,939,702,944,357,882,
335,356,800,099,265,797,199,290,477,122,543,240,413,470,573,116,081,778,050,
244,393,802,379,392,053,584,846,731,579,223,701,041,802,456,063,625,506,713,
343,155,593,106,005,452,848,908,028,863,666,850,222,687,551,403,125,072,219,
579,761,633,932,417,482,748,673,755,923,342,542,346,815,272,938,858,801,314,
216,847,623,771,827,727,012,625,869,983,221,876,488,065,996,953,589,299,486,
824,221,638,113,633,395,099,085,619,341,449,662,129,605,684,815,248,383,653,
490,701,296,779,423,314,703,776,936,654,991,132,685,046,014,020,329,105,108,
626,488,217,379,612,246,400,761,504,462,406,922,737,908,098,074,689,003,183,
585,115,175,483,675,616,611,204,209,489,577,194,503,346,279,106,217,990,532,
168,088,927,239,839,389,190,208,931,263,012,373,793,980,727,637,556,432,627,
612,239,671,751,450,630,388,327,265,710,480,784,254,347,487,290,038,178,174,
769,047,076,385,680,189,510,978,404,941,811,890,003,092,248,950,288,014,190,
546,991,219,463,357,815,239,357,960,145,863,040,120,094,670,287,295,234,960,
693,799,588,016,303,781,400,634,026,857,184,630,466,000,911,975,228,694,214,
018,952,496,188,233,642,025,287,971,350,562,889,317,020,061,541,487,280,746,
920,053,172,266,766,801,367,683,606,984,369,781,653,399,434,245,654,015,278,
349,667,311,850,140,117,382,020,141,580,045,667,112,878,988,933,453,780,586,
291,176,309,571,702,564,894,184,742,990,501,239,089,709,217,622,111,221,502,
943,179,317,080,623,772,858,984,273,787,453,082,343,557,338,041,883,158,693,
955,120,124,475,742,308,854,842,524,575,995,678,042,849,716,041,617,191,684,
074,314,155,249,548,991,358,906,450,140,313,750,413,360,635,739,390,737,372,
375,266,889,041,032,744,610,672,414,291,362,951,456,357,008,707,354,339,556,
776,943,198,771,987,359,534,599,988,997,959,875,389,672,024,716,919,624,077,
078,520,324,581,102,384,472,051,816,527,510,659,559,270,137,363,878,072,147,
530,905,777,142,671,299,562,824,093,837,833,060,607,273,083,411,824,079,416,
332,993,576,475,468,722,918,314,873,124,137,296,571,129,107,113,218,227,646,
457,813,863,363,331,107,126,436,692,869,814,876,896,288,330,909,649,612,777,
398,500,115,699,625,390,339,374,710,986,912,455,433,600,415,137,267,736,187,
960,293,198,049,043,522,560,682,047,197,991,011,247,240,757,951,317,813,347,
780,531,375,019,870,337,692,067,838,590,749,322,335,854,958,086,129,157,040,
070,027,135,956,299,039,125,178,439,885,524,077,293,255,580,384,460,167,561,
633,818,496,516,206,234,698,737,503,326,524,260,717,327,896,661,988,977,285,
603,740,748,661,147,615,701,851,495,376,538,049,614,530,333,852,422,907,790,
956,314,917,958,339,733,173,753,414,091,372,325,137,010,747,295,084,221,084,
249,838,124,943,664,457,412,259,349,330,691,863,637,918,668,221,680,829,294,
209,418,887,028,367,384,758,870,969,433,173,260,988,632,789,235,491,715,050,
070,406,581,190,333,540,457,040,473,595,673,750,855,345,182,910,692,134,352,
132,631,493,104,449,043,393,587,230,842,106,292,063,008,614,483,144,841,468,
853,018,286,011,328,597,883,763,964,877,528,749,374,605,035,683,784,422,765,
781,551,317,578,975,008,899,911,174,204,359,678,326,802,692,544,062,602,631,
843,268,184,103,315,540,424,215,510,370,235,196,068,466,928,840,248,481,625,
900,346,956,246,203,287,534,167,428,205,280,883,413,384,265,669,869,751,770,
933,162,510,317,663,100,962,794,929,841,412,297,616,609,857,536,914,999,747,
764,661,510,057,289,074,940,597,537,598,080,001,541,050,320,734,444,864,610,
361,269,446,921,886,668,576,958,808,186,186,546,206,979,298,635,098,502,604,
241,750,848,083,592,476,994,747,672,162,570,592,482,507,824,116,071,252,217,
150,522,205,921,630,097,756,572,915,121,910,706,320,354,828,852,730,092,111,
053,795,284,681,503,320,394,644,273,474,806,077,903,555,171,855,841,995,670,
374,405,108,141,299,845,479,671,138,806,329,541,338,819,155,879,670,532,171,
234,667,547,832,515,149,387,024,629,172,409,309,521,993,861,111,682,950,553,
943,025,495,044,989,721,879,857,007,760,521,885,398,133,265,013,317,421,622,
113,709,238,486,114,746,176,789,286,900,151,949,237,546,462,600,013,036,858,
974,887,998,481,861,554,245,827,438,880,112,502,925,159,745,787,006,621,806,
741,905,962,186,241,243,829,577,794,797,430,374,910,512,463,882,415,297,011,
424,764,525,123,361,064,434,794,067,956,450,858,947,336,292,634,454,318,640,
756,112,340,420,473,999,526,505,953,701,170,987,195,590,668,294,063,595,195,
560,631,021,177,250,292,618,572,860,084,412,275,540,775,352,469,748,208,647,
481,384,722,664,534,852,138,931,260,056,453,266,703,783,645,249,814,899,324,
378,058,127,161,181,529,247,998,702,164,590,787,178,365,020,393,586,504,581,
302,559,058,032,742,069,918,801,963,827,483,548,283,156,031,330,811,969,996,
055,605,422,859,440,527,677,621,861,498,098,066,975,002,281,032,793,560,851,
304,376,767,395,067,572,811,727,205,853,477,795,727,979,182,065,086,794,678,
844,615,376,800,149,904,989,751,332,030,438,535,376,572,060,608,682,585,209,
092,585,975,175,522,972,703,552,580,266,756,662,949,394,078,711,858,568,948,
497,812,718,932,825,676,729,790,454,726,493,302,362,048,582,595,385,926,266,
116,780,945,313,116,891,626,765,863,578,305,867,168,117,714,588,695,114,727,
541,820,864,354,516,535,263,930,213,502,714,071,589,975,832,407,222,038,989,
726,129,311,231,835,060,030,397,200,024,318,578,674,830,104,484,306,129,719,
510,766,429,376,617,493,775,139,597,012,887,921,804,341,058,527,838,660,338,
451,690,793,566,789,103,035,310,286,807,259,232,298,245,038,712,302,677,176,
009,788,502,994,942,408,341,552,135,137,406,150,863,087,511,087,908,060,060,
933,998,300,417,850,655,918,375,643,954,254,213,501,990,410,942,433,096,423,
066,003,430,514,190,803,594,933,982,119,964,718,070,108,946,878,155,042,214,
961,538,920,761,005,987,767,504,464,906,205,412,950,600,057,182,728,072,411,
875,343,030,451,079,517,203,709,090,147,258,400,908,407,626,547,308,897,969,
183,018,101,423,720,263,480,014,912,632,747,076,578,579,730,977,249,722,726,
660,065,180,302,971,146,097,854,228,889,026,313,397,399,667,125,587,805,818,
933,546,884,931,189,185,583,390,724,890,518,003,953,249,727,009,304,564,544,
106,389,427,323,826,550,887,893,421,371,482,933,823,964,325,571,294,342,692,
220,443,018,348,937,536,185,691,917,597,342,334,285,229,059,352,659,574,671,
940,778,408,803,963,763,430,223,063,688,946,135,507,831,654,992,357,854,371,
762,584,557,786,001,088,535,529,177,534,710,698,905,931,097,697,033,799,296,
637,220,805,851,299,007,638,398,503,845,958,228,702,533,379,354,820,539,676,
025,971,114,934,325,105,243,992,763,178,892,452,286,922,411,191,659,607,564,
175,624,463,802,212,266,319,994,931,735,261,069,968,697,486,880,240,567,470,
629,277,093,468,682,212,792,652,921,144,455,051,110,544,008,121,419,235,100,
016,157,312,323,243,767,083,943,458,660,221,162,433,785,087,391,728,025,132,
515,955,254,182,708,562,994,250,835,696,743,924,878,004,278,031,632,508,044,
519,289,978,463,937,295,819,589,389,056,632,904,766,709,082,300,108,565,781,
574,276,387,605,777,733,196,413,799,615,990,825,595,436,076,281,412,970,136,
316,750,637,133,542,111,615,840,528,857,489,842,017,166,890,800,804,162,865,
912,818,310,831,307,771,489,133,207,520,010,042,700,403,423,477,221,863,653,
447,482,844,343,833,718,306,205,695,547,159,316,259,681,324,531,177,552,213,
400,089,890,857,799,106,365,382,784,888,904,025,258,052,099,819,183,677,398,
869,750,985,861,833,545,641,389,647,041,324,799,001,334,325,531,257,613,262,
230,923,615,352,259,349,676,475,496,719,705,287,007,594,478,162,885,537,032,
148,381,318,506,828,020,328,164,609,784,317,864,283,887,286,830,020,863,467,
739,867,982,433,259,442,347,824,555,518,723,823,089,866,253,035,782,706,393,
474,423,064,585,966,309,556,716,841,459,871,614,509,618,437,238,025,364,381,
195,418,769,264,652,368,042,585,269,192,056,328,418,332,338,835,904,581,967,
150,957,484,104,547,265,279,742,744,400,654,218,601,547,585,345,063,815,421,
256,256,720,353,420,606,012,656,466,603,502,802,874,905,392,876,748,050,472,
612,909,533,145,482,238,384,612,553,412,839,946,383,367,459,550,959,925,867,
431,258,067,011,133,751,674,317,752,763,106,132,456,453,675,380,565,665,472,
210,873,165,610,432,327,689,013,611,473,943,008,193,445,434,769,530,289,811,
565,368,712,983,928,596,125,628,484,751,688,113,779,635,746,883,058,447,932,
960,624,600,160,476,231,085,953,862,534,074,413,299,120,184,232,141,612,504,
776,546,840,062,215,863,732,996,491,035,093,746,873,248,087,571,980,452,088,
439,284,957,510,996,909,177,239,453,551,647,720,786,003,558,974,659,579,237,
483,662,723,497,298,511,727,048,840,871,680,686,060,441,586,516,523,677,220,
633,114,124,609,602,502,976,360,636,430,131,002,931,976,752,764,425,968,685,
309,357,156,534,669,055,961,757,825,407,843,831,478,975,152,084,247,517,316,
980,965,413,835,074,926,095,923,574,787,673,496,092,195,792,360,956,183,059,
218,273,260,743,199,191,821,950,787,235,532,033,171,708,795,072,435,589,712,
952,661,478,536,911,383,037,526,631,774,636,936,008,139,938,820,825,679,914,
076,329,164,543,805,702,014,158,067,059,214,067,565,210,938,699,957,872,546,
855,470,791,664,550,231,096,503,051,673,904,124,337,459,810,084,288,438,978,
201,655,157,856,578,050,574,290,028,204,543,769,597,643,489,937,912,544,895,
715,936,301,341,069,635,380,214,972,455,216,267,687,819,768,631,848,986,428,
246,428,449,373,188,657,244,426,383,747,733,774,796,122,265,323,306,895,634,
947,651,923,263,733,821,301,623,924,054,640,753,557,539,467,552,891,703,136,
843,498,494,831,263,457,030,433,190,504,824,982,565,363,724,204,190,135,772,
684,722,749,023,947,671,919,463,253,088,921,288,419,636,114,196,031,381,448,
907,089,789,374,687,019,543,960,355,706,790,451,441,514,530,495,397,590,993,
829,588,906,329,200,047,925,023,795,811,935,350,790,047,346,233,320,167,093,
364,400,701,431,643,240,180,693,586,349,105,969,308,919,482,175,107,209,194,
549,256,448,921,248,176,345,383,857,327,303,004,795,511,063,203,813,173,561,
138,619,282,905,939,215,890,341,511,014,166,726,214,377,380,345,406,013,860,
066,914,391,584,477,103,146,518,640,527,585,149,260,469,836,232,616,594,540,
001,529,249,379,604,623,605,291,497,629,776,190,272,226,137,176,435,221,813,
280,629,568,441,810,996,199,526,450,790,947,852,747,088,463,301,170,115,422,
576,032,844,190,100,150,738,296,585,578,559,195,515,705,841,171,538,112,353,
494,316,310,984,699,330,448,225,690,928,435,767,171,936,126,857,654,008,182,
761,057,493,195,795,014,112,839,812,198,479,956,800,117,070,072,741,342,787,
561,501,564,373,713,097,499,816,168,029,281,426,588,200,641,843,456,610,884,
384,313,731,350,013,569,316,076,158,752,004,767,186,691,002,154,164,348,336,
541,899,596,156,338,078,792,452,157,539,785,023,111,361,718,718,216,911,060,
558,686,042,861,438,997,151,442,622,968,840,927,162,456,124,775,900,706,680,
181,483,114,802,594,856,202,786,771,950,652,663,621,260,294,103,323,451,257,
610,271,774,120,708,486,709,636,479,124,091,244,163,998,012,989,512,335,255,
000,835,623,412,828,625,368,376,206,764,783,434,387,807,490,521,371,680,281,
252,132,196,964,122,445,458,523,678,355,217,952,763,382,034,219,169,464,269,
870,583,977,553,517,578,905,784,520,471,386,666,562,972,016,746,692,300,340,
881,870,256,697,939,469,025,923,493,846,989,877,473,455,760,216,176,621,570,
775,469,347,780,700,179,814,321,746,805,075,125,159,872,203,231,890,311,985,
987,305,821,377,892,621,039,801,916,367,604,102,081,321,994,890,089,868,582,
863,428,778,860,816,079,182,524,368,403,808,809,044,532,551,569,960,335,125,
631,493,896,752,963,212,105,972,658,927,905,480,606,986,407,936,135,563,693,
901,867,709,499,792,163,209,728,167,232,071,736,112,919,186,874,858,411,797,
509,266,892,085,233,324,204,199,181,340,350,320,976,727,282,867,459,698,721,
383,545,000,502,863,223,014,459,342,260,070,772,183,809,051,816,234,822,141,
111,953,960,287,013,305,350,130,113,789,891,320,758,355,771,071,775,955,257,
072,501,984,067,930,928,966,446,405,755,107,057,064,475,176,216,845,061,193,
528,475,864,442,494,813,994,706,104,660,677,478,846,963,478,642,073,577,413,
870,089,903,109,956,244,024,046,815,578,833,382,040,414,224,707,020,128,345,
956,294,808,728,689,967,886,663,306,690,210,171,839,776,094,426,522,808,400,
954,920,994,305,983,205,653,841,460,781,790,905,170,764,863,828,778,122,311,
171,900,581,225,576,902,273,267,689,735,377,010,533,592,178,199,204,962,885,
429,968,351,677,432,795,675,022,881,062,627,317,038,764,742,614,888,135,835,
664,087,897,658,470,360,334,047,041,059,042,797,723,351,022,309,910,462,942,
241,504,900,061,199,420,354,763,558,472,638,779,746,165,741,293,306,703,974,
084,175,111,803,756,073,726,040,883,150,734,789,343,244,772,774,439,801,949,
972,912,269,814,051,983,356,323,298,671,448,627,513,748,528,149,342,891,803,
216,073,388,803,445,140,704,429,927,774,742,139,307,307,098,933,955,990,427,
795,301,884,122,914,574,715,020,264,564,130,389,663,177,506,107,312,786,365,
258,492,503,278,816,245,475,622,302,781,668,528,709,440,276,565,455,940,403,
418,805,464,614,837,010,725,618,054,543,391,637,318,542,231,268,512,485,295,
167,960,115,370,327,843,840,928,753,589,584,309,650,210,489,419,581,989,492,
727,026,788,678,970,335,366,438,425,632,819,130,076,577,914,168,849,574,326,
337,295,426,906,771,052,929,184,394,737,818,802,389,373,343,786,470,812,277,
383,268,739,120,020,500,073,365,715,372,474,405,433,962,930,914,415,630,689,
324,431,326,549,807,512,190,561,067,818,542,679,488,241,601,664,690,833,212,
614,662,476,099,993,049,322,732,511,707,741,520,179,245,884,430,021,682,548,
021,828,025,439,662,299,877,349,172,969,388,005,554,220,210,929,157,277,254,
916,649,659,759,145,179,998,480,576,753,583,408,709,335,613,400,940,402,831,
134,293,257,750,216,087,827,855,845,017,481,701,835,347,236,329,774,333,173,
159,014,668,849,008,031,310,162,530,344,511,505,352,633,598,116,352,860,398,
998,997,174,544,804,268,556,447,626,709,652,666,959,330,000,623,312,101,054,
164,517,215,830,860,798,465,991,893,700,890,350,282,895,281,705,143,801,225,
692,788,008,175,346,184,121,593,144,395,640,088,326,269,865,475,520,678,188,
625,728,904,952,464,144,779,901,478,265,886,271,594,550,197,738,366,982,142,
729,264,925,940,591,351,668,773,635,067,389,594,303,953,794,092,511,200,874,
169,274,201,105,655,142,646,286,664,677,021,983,923,420,126,769,172,799,138,
218,755,901,485,204,106,713,017,175,146,676,466,019,939,604,462,034,473,606,
460,016,390,966,943,918,967,997,567,935,766,724,119,147,550,968,475,516,797,
755,285,853,512,954,855,687,675,450,138,689,281,282,436,967,894,977,607,862,
776,022,595,039,257,968,533,637,683,292,198,451,193,412,701,655,821,710,913,
950,863,940,163,400,456,991,401,956,392,850,813,012,320,536,546,645,386,871,
130,172,743,989,596,204,018,185,017,681,716,839,740,169,591,408,632,120,871,
751,688,244,755,131,253,738,581,973,645,504,919,925,249,699,796,018,880,982,
113,844,590,630,702,759,978,820,395,183,177,319,201,436,667,735,193,414,452,
873,866,855,280,533,895,105,789,458,595,330,388,089,435,156,760,155,147,689,
843,298,247,109,381,549,121,786,087,242,569,010,206,841,778,263,978,553,727,
390,356,750,934,119,638,004,745,860,598,088,284,799,523,249,733,941,900,832,
793,417,639,987,342,061,314,890,040,766,500,816,494,341,812,026,306,310,348,
153,717,669,515,967,295,254,803,887,864,117,871,874,410,406,864,398,002,235,
217,339,257,620,974,020,586,705,443,772,440,827,253,095,959,849,885,725,994,
019,440,887,429,920,969,849,532,576,655,599,166,037,408,711,293,482,168,592,
883,078,451,486,301,593,970,298,469,141,938,614,568,459,183,148,250,752,378,
074,007,371,911,089,776,860,814,990,481,253,021,688,120,396,414,994,194,502,
953,138,263,637,049,007,171,137,874,294,843,739,875,479,251,883,357,602,294,
008,515,531,470,285,039,961,766,525,271,718,522,419,581,685,204,235,989,942,
335,643,209,519,953,515,101,531,888,023,554,714,262,206,577,214,709,928,290,
692,939,356,933,053,890,134,711,601,247,224,075,132,286,573,942,582,289,367,
374,377,612,993,963,164,227,734,378,338,074,854,400,727,612,535,425,552,384,
142,676,533,654,228,004,850,333,712,442,979,200,562,694,197,481,559,555,704,
841,226,451,373,290,480,563,279,123,363,208,854,246,968,877,136,333,338,847,
718,960,174,957,259,723,741,639,068,275,718,527,924,839,453,910,663,422,595,
707,257,802,704,359,139,227,402,719,291,004,852,692,866,725,817,709,065,073,
270,512,908,516,000,431,332,517,641,413,680,312,717,731,720,400,578,592,907,
936,409,932,602,034,051,906,749,275,644,391,281,300,399,252,751,344,837,855,
705,271,424,601,577,517,584,487,254,027,702,159,733,657,806,430,950,175,940,
981,506,236,966,246,786,421,588,053,805,946,612,870,045,996,154,284,973,579,
080,443,415,198,183,470,063,615,762,562,197,440,947,194,253,785,982,026,985,
363,886,964,515,778,761,284,596,293,672,533,405,728,450,372,395,719,103,214,
563,710,323,738,913,106,760,007,145,606,916,243,504,540,648,931,817,488,259,
487,669,779,565,831,731,550,410,677,610,758,703,407,342,721,449,835,470,293,
774,143,052,408,530,658,677,746,553,924,473,350,145,789,664,491,017,283,590,
697,674,897,595,942,310,013,156,893,949,839,673,280,558,994,204,388,375,186,
575,492,803,964,872,479,692,757,582,164,818,302,091,694,505,150,458,830,911,
451,270,303,002,432,737,595,224,518,210,941,417,891,265,702,959,094,246,479,
914,050,269,325,074,451,747,471,209,458,364,626,339,693,664,242,654,479,507,
840,362,560,794,008,323,020,570,588,743,236,924,239,664,645,292,879,336,052,
908,313,885,657,762,095,046,142,323,344,521,182,100,185,046,253,725,336,435,
607,545,905,574,682,281,683,550,441,025,535,874,942,721,593,728,550,882,843,
658,389,002,656,007,002,380,959,308,994,915,907,343,283,219,339,901,230,301,
291,960,327,753,270,642,253,482,177,879,591,321,262,763,622,939,316,810,655,
372,676,369,613,711,883,478,576,401,015,322,947,829,904,583,536,097,665,257,
451,194,243,244,064,056,784,941,730,804,638,491,432,915,609,488,602,292,865,
797,630,216,518,650,710,284,696,436,861,601,828,569,155,378,449,035,805,544,
562,499,071,194,150,391,151,137,737,689,565,226,090,322,296,281,163,593,835,
331,506,506,801,327,427,803,287,317,035,163,857,733,292,477,999,866,805,838,
143,205,719,714,671,276,208,521,328,016,888,202,389,859,925,071,513,897,698,
362,361,475,539,534,695,294,389,647,495,238,407,984,994,646,088,759,981,187,
885,906,472,929,757,979,616,749,015,939,839,668,615,986,976,376,688,713,726,
651,766,460,699,854,959,656,558,183,809,677,027,522,427,679,396,461,824,587,
693,220,641,761,001,982,639,640,221,545,950,171,066,192,435,403,737,524,596,
828,226,272,199,716,949,296,222,560,789,322,249,389,204,634,234,513,166,567,
404,610,560,050,723,553,955,086,335,350,279,565,863,481,566,543,539,034,960,
095,202,178,844,861,138,385,665,853,029,739,274,058,266,351,136,907,954,606,
587,620,877,824,509,418,204,754,536,953,926,889,213,465,405,588,397,707,564,
930,162,860,483,532,477,813,528,047,073,927,450,746,853,230,912,366,384,632,
886,293,889,170,346,276,219,595,918,738,170,020,610,545,481,030,672,848,108,
767,435,298,337,483,528,217,264,838,712,252,536,224,169,867,012,343,177,026,
216,398,008,525,552,012,351,604,876,544,042,342,567,295,338,489,394,531,020,
713,506,423,383,549,939,423,141,188,473,579,709,493,389,582,025,121,780,308,
011,816,121,701,266,599,768,688,247,602,841,858,500,422,149,672,873,823,638,
945,208,514,001,660,402,592,747,509,643,951,084,025,286,567,085,453,901,166,
849,350,757,897,774,103,199,686,780,310,406,132,589,661,202,641,051,359,380,
299,346,690,624,196,648,419,809,004,197,700,318,504,944,914,880,019,935,619,
501,057,807,080,798,526,172,359,116,277,554,618,566,175,072,104,518,357,519,
957,261,948,756,087,430,536,564,968,839,516,809,794,533,726,402,458,919,946,
985,698,564,144,774,588,967,076,595,627,060,080,829,736,771,924,758,441,419,
397,133,639,669,297,284,308,468,586,805,011,034,027,987,411,666,611,848,198,
393,251,345,630,196,077,524,573,452,500,522,161,720,676,598,529,090,448,155,
309,644,997,455,024,939,331,256,128,615,842,065,430,941,910,884,374,579,789,
915,084,614,697,668,165,087,395,360,035,619,752,783,901,746,991,991,616,121,
494,841,618,076,374,238,733,530,986,362,488,254,260,695,880,683,020,907,297,
654,933,560,757,791,624,018,760,355,041,878,481,758,454,864,245,491,475,461,
546,238,948,173,583,045,330,952,844,091,032,593,786,831,034,324,206,084,024,
618,726,593,527,562,056,459,964,224,979,760,466,729,750,948,109,401,185,107,
349,732,425,034,422,606,330,697,903,727,441,064,672,037,136,246,742,998,410,
208,570,075,066,022,003,922,753,112,657,228,104,162,442,376,004,105,827,380,
856,585,033,608,250,421,009,646,189,531,133,738,978,954,013,392,084,822,994,
547,394,178,653,084,006,231,243,706,325,197,456,284,104,675,741,945,074,159,
518,595,168,256,073,856,997,114,017,113,421,339,760,869,094,790,348,034,841,
953,503,304,036,801,613,143,230,353,036,708,673,750,473,464,966,395,482,473,
249,307,948,292,021,013,369,755,859,865,254,618,104,893,824,961,294,678,409,
043,268,675,095,914,529,685,594,538,492,882,612,887,298,929,378,233,036,494,
573,118,446,030,779,070,013,588,714,866,534,611,632,407,389,319,310,093,044,
755,764,839,634,181,385,297,172,614,737,333,977,790,782,150,367,705,504,947,
436,166,926,944,764,221,382,906,299,091,463,545,938,986,961,002,667,723,932,
575,209,049,123,517,577,854,059,777,188,753,105,690,278,775,057,280,623,903,
455,667,928,593,795,767,423,735,284,996,291,795,293,811,529,508,607,771,540,
508,972,826,348,891,262,891,825,251,146,676,509,315,365,240,920,752,098,567,
063,511,566,078,348,666,589,323,549,505,661,799,742,545,687,542,278,301,488,
540,926,277,127,324,237,886,820,572,822,529,138,433,338,913,044,754,535,161,
165,038,406,943,829,777,296,933,980,827,007,773,389,669,047,094,016,558,053,
011,193,418,556,731,616,311,613,201,734,113,031,481,278,896,812,892,513,190,
451,437,509,074,744,823,529,196,634,800,755,718,455,360,588,290,305,016,145,
365,282,490,024,781,711,606,215,193,712,652,190,265,319,617,749,471,135,770,
340,170,293,370,534,135,283,719,222,539,733,524,063,755,698,336,718,798,674,
014,146,359,978,060,583,181,453,251,345,651,381,897,234,313,643,135,464,512,
629,821,684,069,002,864,967,344,437,480,879,668,779,385,207,708,258,694,265,
251,967,704,671,027,888,626,820,117,636,316,122,999,307,917,119,839,576,124,
000,100,499,684,299,344,694,487,647,579,973,953,495,406,355,431,775,572,143,
864,636,086,618,836,651,037,636,839,060,564,949,589,432,356,451,181,751,035,
018,489,391,667,448,262,588,490,997,172,533,444,845,489,894,050,857,004,909,
421,242,016,178,825,329,167,449,448,571,555,206,041,576,701,543,244,999,927,
728,158,705,191,818,523,110,701,828,871,259,680,248,735,913,033,659,678,774,
990,820,652,002,476,818,752,995,889,937,815,082,323,978,385,610,560,434,422,
691,065,265,100,762,520,361,671,665,674,016,757,836,955,413,308,946,683,594,
208,492,870,774,805,780,789,412,300,957,163,322,501,309,084,774,038,358,405,
404,558,699,986,425,196,635,531,841,236,328,878,337,277,219,625,577,200,493,
139,322,040,825,575,256,841,541,248,467,564,717,644,600,635,591,565,184,322,
344,658,184,508,082,073,513,586,495,453,590,007,242,390,098,864,377,700,146,
017,044,932,886,561,027,156,190,527,753,632,840,182,989,346,521,651,835,770,
463,101,864,257,895,373,797,540,938,018,588,755,283,884,490,990,383,041,137,
402,335,966,084,445,187,058,766,925,264,529,449,923,741,818,527,594,508,631,
725,458,572,403,318,631,196,341,394,344,852,266,544,109,632,930,466,806,070,
044,600,636,792,578,203,695,042,652,003,902,148,099,027,132,224,795,689,296,
846,022,008,094,417,000,269,232,801,334,226,968,072,004,784,330,372,755,622,
873,905,223,736,806,646,363,100,273,965,448,236,672,690,909,379,807,805,272,
690,337,253,567,106,481,151,324,079,697,959,253,178,963,375,467,018,513,951,
698,052,411,218,152,683,008,989,298,050,234,375,961,520,386,704,145,539,242,
007,038,196,282,171,222,029,723,265,302,922,580,589,482,406,745,133,511,998,
956,224,297,122,022,310,347,168,151,593,054,380,032,069,400,879,397,055,099,
498,068,865,053,714,962,053,938,903,399,371,359,583,776,290,580,327,056,560,
749,985,636,710,821,908,334,917,920,592,920,139,463,937,847,049,850,429,414,
575,485,790,469,046,897,588,037,589,848,266,720,151,154,641,015,286,760,815,
763,413,736,596,644,592,028,017,753,055,552,482,308,875,264,059,917,408,306,
302,649,288,724,765,518,598,328,770,117,664,550,607,723,035,828,192,363,604,
731,968,343,640,189,257,782,855,463,642,932,136,395,917,772,991,077,770,901,
247,548,157,484,706,958,647,972,106,962,445,070,366,090,813,636,972,851,929,
891,469,820,279,293,000,612,488,184,928,393,900,336,544,623,209,346,603,610,
163,784,433,566,507,961,371,649,321,418,859,282,422,269,391,551,309,021,729,
931,672,032,247,595,108,772,283,848,839,257,998,415,373,454,743,731,913,806,
784,681,113,964,491,328,799,830,664,484,613,785,542,358,874,666,141,133,547,
409,932,241,072,834,422,624,605,448,868,982,829,023,049,717,590,312,645,715,
399,910,390,069,842,636,631,310,614,454,764,529,513,823,833,521,001,533,138,
203,726,457,807,147,534,259,779,485,035,943,918,188,650,758,695,471,717,618,
212,207,613,892,199,685,396,049,149,933,309,798,165,254,167,980,750,300,376,
993,556,272,308,983,760,329,960,580,850,382,862,192,639,493,238,576,429,918,
209,950,046,550,660,515,796,019,660,531,850,069,380,414,888,247,488,619,719,
949,104,368,030,862,552,480,774,341,790,663,084,210,387,415,947,362,424,817,
751,037,011,721,600,904,648,480,978,214,464,289,554,612,547,936,374,138,410,
609,300,285,239,282,957,394,081,553,881,949,174,928,251,212,092,136,240,934,
975,135,996,270,176,787,005,141,268,351,989,400,949,348,112,322,737,727,052,
686,832,479,862,975,790,679,230,369,791,135,839,536,936,479,718,700,625,741,
139,527,799,457,369,528,043,433,197,907,819,380,008,132,314,888,923,482,373,
994,936,368,040,506,340,422,244,701,446,561,199,507,041,430,135,269,688,663,
136,387,568,191,122,207,380,024,553,291,654,564,882,172,426,750,399,302,674,
747,858,457,931,002,891,134,141,667,700,003,656,791,021,454,730,183,853,705,
721,967,617,731,878,717,078,714,150,126,541,817,088,297,253,318,761,789,907,
371,130,963,446,162,576,591,972,664,687,785,554,116,790,164,540,143,892,168,
775,415,981,165,003,327,069,364,983,378,102,385,284,281,230,246,567,724,743,
609,486,139,228,691,187,763,952,036,533,509,481,050,675,849,617,682,279,557,
750,080,643,590,482,478,058,839,476,396,033,692,640,725,206,904,373,647,603,
710,524,095,253,777,460,179,974,254,493,671,059,228,505,259,210,367,464,084,
752,106,932,547,261,394,588,905,771,076,124,225,276,860,848,162,991,234,116,
152,727,692,957,542,912,585,169,040,322,658,097,636,670,530,086,946,645,511,
260,235,788,005,943,185,235,375,417,827,865,535,573,413,685,219,541,509,417,
719,608,808,296,529,873,233,724,227,982,521,904,505,861,294,924,978,020,822,
302,401,833,294,364,050,515,316,561,204,462,284,955,078,308,967,124,353,656,
032,709,904,543,235,820,935,621,146,586,893,695,277,558,513,302,624,657,932,
368,659,923,395,180,127,614,393,853,413,466,789,459,331,659,405,229,501,787,
535,590,060,143,881,271,784,188,341,256,870,114,898,739,900,825,177,493,742,
236,175,256,374,864,952,819,546,019,693,806,177,739,492,058,854,105,193,117,
704,590,997,729,174,413,878,166,910,598,183,682,207,772,618,913,913,159,231,
573,864,359,883,520,335,094,247,350,776,021,206,959,669,667,439,159,611,113,
337,166,546,509,629,619,720,909,398,574,691,202,668,757,918,403,098,525,668,
293,987,894,516,109,342,717,207,838,637,920,914,208,778,477,125,607,262,537,
162,182,135,367,856,353,270,891,593,971,585,401,121,608,946,604,543,596,154,
097,980,149,806,072,191,973,416,346,414,582,436,306,681,916,661,328,795,594,
520,190,284,937,673,459,625,537,753,886,425,206,337,248,282,336,883,985,978,
625,643,184,152,856,057,216,543,200,569,957,913,898,036,306,783,510,263,627,
205,267,001,623,784,395,969,971,044,358,256,713,495,877,447,727,781,916,501,
933,473,613,597,407,452,959,581,684,118,508,129,809,410,364,051,936,980,932,
788,000,136,747,989,585,372,592,921,472,382,176,479,806,153,165,162,251,221,
360,150,938,707,527,050,838,696,567,121,578,549,402,573,092,401,822,781,861,
356,635,274,903,267,631,046,242,398,516,137,317,621,909,337,477,430,925,883,
559,300,234,866,962,301,530,439,219,811,967,757,300,278,019,435,094,852,505,
269,639,217,175,656,702,982,099,173,604,242,855,492,569,713,285,436,909,771,
347,721,978,231,570,915,415,189,933,429,886,302,014,442,109,235,867,574,014,
958,992,217,732,784,391,523,172,962,563,109,214,499,032,808,373,986,430,683,
988,923,894,279,502,312,887,921,818,179,676,783,289,094,538,209,128,289,619,
198,622,866,663,495,306,617,923,646,865,327,048,232,895,855,802,833,406,280,
654,110,590,312,014,411,776,683,099,884,404,575,901,815,943,605,312,896,199,
142,811,913,132,895,100,298,792,764,677,419,326,241,738,197,133,717,677,069,
234,327,078,323,510,447,851,526,615,450,022,138,346,382,719,580,420,248,519,
718,605,667,035,219,738,103,289,559,377,877,907,958,290,958,774,036,376,381,
132,307,490,587,786,733,008,537,618,233,308,425,465,287,602,797,725,653,645,
986,137,938,030,582,951,316,299,240,911,497,767,945,915,276,355,441,342,392,
865,448,438,317,122,902,796,645,389,428,448,313,078,432,357,411,906,409,864,
433,936,679,585,735,652,678,544,821,591,871,019,268,164,266,266,998,567,768,
358,994,365,243,788,742,645,079,463,974,902,158,678,320,510,198,216,257,438,
511,394,114,598,644,505,235,079,005,464,906,135,123,885,341,989,214,686,653,
085,488,732,554,919,190,418,778,405,691,630,264,669,325,680,223,282,833,869,
972,748,015,199,922,975,090,105,517,696,670,348,454,697,845,252,020,593,751,
976,682,302,005,986,586,978,626,402,423,205,371,148,932,005,787,483,483,340,
641,572,773,933,585,360,680,526,467,063,942,157,136,403,364,541,202,716,051,
191,471,276,899,632,597,048,298,629,406,593,810,468,428,774,868,159,460,244,
417,402,865,872,569,779,031,253,191,620,936,660,003,971,975,362,222,121,085,
531,394,987,116,173,723,627,016,326,932,330,876,476,414,971,904,149,405,199,
865,491,665,551,316,365,806,124,534,645,222,966,855,954,264,457,616,540,865,
172,472,218,995,660,249,598,615,100,685,894,454,594,328,745,386,595,887,503,
399,508,198,547,285,788,699,664,635,772,216,490,945,219,679,324,418,305,349,
216,624,171,019,079,618,077,765,459,811,250,737,292,410,211,490,231,607,991,
039,522,993,914,246,978,175,358,760,540,079,526,870,582,645,680,277,381,039,
221,815,433,914,068,199,245,606,523,509,491,446,343,756,831,136,929,457,690,
957,182,063,707,605,004,195,868,885,075,289,766,188,202,530,326,173,819,644,
163,878,644,662,616,929,749,401,688,606,806,116,950,275,144,972,433,442,395,
879,709,605,119,571,796,949,455,272,767,297,534,621,566,352,007,263,024,879,
983,051,173,394,874,725,334,347,051,212,032,714,987,249,752,259,632,363,841,
243,059,198,968,771,500,785,817,643,844,816,992,557,912,391,119,341,738,762,
736,079,584,550,827,250,951,348,227,316,736,941,840,440,633,096,096,180,990,
328,001,880,049,640,574,709,771,491,157,230,021,347,307,468,530,058,998,435,
008,476,328,201,139,781,245,697,477,247,830,380,948,917,220,366,732,685,539,
108,614,456,171,488,350,807,627,036,706,245,020,697,176,692,166,065,724,294,
443,296,372,830,831,629,893,555,324,594,800,304,448,612,628,921,817,337,092,
320,799,146,878,465,953,461,824,132,382,718,120,400,683,289,810,755,146,728,
258,725,817,866,655,011,533,986,708,507,390,087,464,851,319,331,431,202,954,
703,066,603,179,813,603,770,432,434,525,991,759,215,830,125,310,696,090,405,
373,619,696,822,802,885,503,261,390,788,733,531,750,981,327,608,718,513,990,
343,615,906,330,121,789,196,852,203,349,913,000,884,506,663,488,683,759,994,
724,602,196,940,576,610,868,529,000,068,649,895,182,831,942,159,678,531,361,
613,935,606,586,625,447,598,518,194,890,172,063,940,785,432,072,307,054,811,
446,413,313,739,855,482,491,077,005,075,139,241,318,196,594,822,499,096,014,
947,401,207,908,870,469,361,388,449,725,186,886,179,940,845,280,637,588,191,
923,836,457,301,497,666,499,768,050,632,027,005,754,842,422,869,714,383,864,
397,563,151,575,161,750,489,105,853,965,737,563,802,456,327,404,481,115,063,
409,026,104,169,173,657,354,745,408,931,817,111,293,422,989,836,962,528,444,
646,502,340,436,595,855,601,154,907,101,471,402,158,623,532,930,753,577,295,
219,555,490,639,949,706,719,147,953,695,197,730,559,795,162,091,395,236,517,
633,067,803,978,698,399,370,259,044,538,789,888,340,234,816,186,497,605,664,
261,356,704,209,802,632,994,522,823,378,746,266,486,432,385,450,743,962,289,
330,391,605,455,093,191,028,920,267,813,989,468,042,243,811,411,812,120,599,
704,424,216,107,576,780,977,330,554,067,250,468,157,193,289,299,276,229,954,
048,068,616,856,048,636,731,763,411,067,566,568,760,848,454,634,435,075,283,
081,162,891,566,806,672,811,531,403,182,190,680,866,397,926,392,555,998,100,
075,387,358,901,887,403,207,537,237,762,665,575,984,848,869,996,592,953,966,
269,511,090,168,896,922,449,014,706,406,373,990,905,259,246,901,595,063,809,
821,356,003,342,820,070,505,801,700,697,300,446,709,298,520,300,763,070,823,
095,520,059,225,170,100,425,886,486,782,571,528,835,246,277,301,299,623,395,
492,920,555,911,442,938,114,368,522,377,165,250,260,727,327,674,961,288,064,
960,198,719,829,557,275,929,280,465,431,429,384,687,272,137,114,975,864,683,
563,068,498,368,062,955,781,954,243,236,584,947,453,579,460,978,572,226,656,
787,543,287,487,552,345,336,309,998,113,200,653,000,343,803,027,739,005,801,
456,744,080,627,703,478,216,057,857,573,020,374,807,401,892,938,103,525,152,
980,544,615,430,416,138,524,231,782,146,525,363,127,805,164,806,542,512,845,
431,317,236,068,226,128,159,858,372,582,590,655,991,423,128,924,887,420,008,
696,221,793,008,092,521,328,177,712,058,590,537,657,359,377,074,782,977,731,
238,873,219,744,802,490,480,536,441,923,468,306,101,445,406,110,270,412,510,
349,144,680,130,523,235,904,246,252,279,701,238,316,646,017,523,905,206,033,
467,707,736,741,481,144,895,494,176,457,025,918,370,797,789,785,379,190,956,
755,463,506,672,051,903,277,335,672,852,090,052,966,284,072,895,116,141,885,
895,059,286,602,760,477,707,351,354,968,887,112,371,610,703,936,803,711,474,
605,110,212,931,994,357,171,846,444,364,451,638,063,844,300,369,313,082,818,
945,850,328,789,871,740,289,610,415,460,440,414,039,509,904,959,918,251,784,
704,806,347,300,555,564,033,764,328,063,901,415,905,280,537,238,535,092,657,
130,239,644,563,516,260,371,481,862,315,580,532,574,097,148,298,699,131,723,
113,385,342,874,917,071,883,105,098,179,523,001,361,569,330,492,071,241,366,
621,469,960,911,485,730,525,031,351,347,131,209,645,171,677,623,608,534,400,
961,911,316,732,217,637,358,676,567,775,606,902,603,404,725,328,018,575,580,
599,260,256,025,781,909,994,922,080,966,850,149,777,239,312,503,905,295,202,
735,075,511,776,819,725,148,668,534,368,572,908,395,393,157,816,757,322,118,
940,202,911,194,764,706,531,509,782,361,070,805,741,019,346,162,238,250,725,
739,919,127,819,378,507,304,983,846,892,704,091,746,811,508,479,337,260,816,
624,920,870,740,761,463,637,556,026,082,468,217,063,640,794,250,217,027,207,
763,810,719,174,505,188,719,783,227,063,744,494,925,733,412,474,059,134,437,
616,778,899,009,078,414,561,023,141,997,505,804,627,222,584,131,917,908,606,
244,073,700,114,214,683,383,529,302,372,241,417,771,780,561,279,110,420,862,
489,848,288,128,490,963,321,138,877,908,000,066,792,580,496,245,634,342,360,
654,223,696,209,382,462,771,969,588,134,229,091,370,667,207,110,648,084,437,
039,639,218,791,420,045,423,811,205,603,333,668,654,313,674,183,421,380,928,
187,169,887,050,745,991,480,862,144,883,210,938,909,322,177,814,948,743,075,
716,543,350,885,502,068,275,895,810,106,996,489,573,752,560,056,866,588,237,
602,668,724,742,229,133,167,841,582,555,359,073,479,941,345,512,784,234,870,
245,581,588,274,750,220,459,563,168,012,548,751,788,842,402,151,900,438,686,
917,608,270,166,314,434,553,994,488,022,265,033,525,895,252,914,649,694,497,
354,368,399,897,781,677,199,845,579,447,058,275,075,203,402,208,499,424,748,
708,907,988,731,066,525,778,641,718,485,828,312,313,322,806,659,664,277,661,
442,220,173,827,523,296,509,196,226,004,191,810,160,805,597,713,007,923,502,
191,891,775,521,024,085,559,226,142,900,588,419,791,103,062,558,374,722,588,
132,480,299,627,058,117,626,242,048,979,062,514,080,725,603,124,868,541,229,
444,953,827,706,977,888,723,619,187,837,568,769,813,864,081,124,634,943,175,
408,164,112,320,628,109,369,627,749,646,035,210,865,038,617,658,574,990,987,
942,675,679,773,414,450,627,361,525,157,123,880,464,271,035,973,491,603,089,
370,046,584,801,692,305,502,203,865,403,332,742,606,077,798,762,722,330,744,
811,635,762,417,930,143,389,849,150,920,283,567,067,932,186,287,594,597,850,
236,056,222,906,529,205,058,346,395,415,018,915,097,110,227,740,920,658,415,
472,094,141,650,015,283,534,164,200,508,531,942,654,198,397,569,778,945,870,
409,798,517,167,732,220,601,354,523,952,508,893,625,911,762,425,510,614,494,
601,261,233,435,146,027,686,033,088,513,401,937,423,385,918,801,449,318,388,
372,447,233,496,672,498,338,357,456,439,802,002,289,487,416,748,928,368,137,
894,699,036,358,329,374,907,267,811,062,882,048,136,764,586,716,178,852,585,
425,952,116,150,435,772,199,201,121,509,947,239,151,691,219,840,744,502,292,
222,941,714,216,195,372,371,538,960,579,709,110,665,922,077,271,579,365,974,
896,322,864,260,105,596,374,359,825,026,338,372,282,021,726,743,650,992,273,
418,754,202,986,849,440,205,659,813,765,141,562,532,064,663,518,599,219,342,
896,047,777,154,897,990,354,458,976,924,760,217,875,947,095,715,718,627,793,
655,575,735,207,658,904,322,579,370,284,767,293,233,883,972,447,374,501,289,
015,046,596,994,105,642,801,602,809,310,313,837,960,041,872,656,574,987,659,
239,075,207,297,759,092,108,037,514,153,865,858,910,646,712,059,622,227,996,
501,150,905,182,098,539,956,957,468,876,472,226,365,294,761,789,581,169,989,
463,592,123,822,714,735,138,455,296,816,331,066,052,003,483,165,326,686,770,
868,497,003,298,103,530,446,250,739,374,892,366,914,947,044,477,165,174,078,
267,865,594,668,668,523,677,676,921,648,326,899,983,396,060,758,467,122,879,
478,900,533,628,351,094,010,438,181,756,147,457,780,069,420,245,809,175,697,
552,461,575,407,220,604,013,493,112,310,872,289,290,164,018,871,743,842,592,
356,698,360,222,577,925,413,232,833,708,886,772,879,418,192,956,008,250,176,
776,553,668,485,256,268,573,574,272,521,696,430,894,289,394,722,816,914,294,
016,031,269,941,318,270,339,205,131,430,890,146,751,621,394,797,317,279,133,
228,305,494,064,123,784,748,926,235,591,429,511,659,277,580,255,637,788,740,
491,163,941,170,687,309,177,297,804,543,218,941,096,465,041,131,831,803,430,
317,335,855,477,775,803,431,930,050,066,307,767,305,204,526,371,221,794,392,
083,065,497,744,309,352,543,671,224,984,958,496,467,273,954,967,744,828,951,
279,517,064,610,771,515,095,994,090,439,040,091,277,376,590,815,473,426,487,
837,600,662,462,690,948,824,250,215,182,339,990,196,513,613,981,511,473,099,
000,935,693,616,254,681,333,839,049,354,145,873,428,196,071,984,610,035,610,
310,901,282,065,381,130,186,883,533,153,634,849,897,052,573,711,677,462,993,
042,630,792,854,372,036,776,684,992,280,953,253,926,900,245,560,632,167,004,
770,335,523,609,935,336,037,427,468,473,639,975,571,214,411,324,025,203,714,
412,553,750,531,689,550,155,110,062,711,926,907,876,137,734,883,269,576,562,
002,605,005,123,753,237,940,174,721,200,093,275,161,009,850,026,963,094,388,
925,492,575,752,064,060,641,541,110,638,386,389,422,598,742,708,543,826,157,
741,982,046,982,371,842,166,128,255,110,659,244,696,957,549,992,485,464,851,
184,820,687,846,522,916,170,485,934,216,437,950,954,422,767,263,065,962,813,
364,614,019,685,420,495,517,902,000,814,127,070,147,610,754,766,725,549,864,
940,567,274,343,481,341,301,328,000,779,016,167,634,813,329,458,663,015,925,
144,246,019,515,050,043,021,638,613,410,916,550,722,572,117,167,945,228,998,
080,747,438,094,040,612,214,853,487,189,054,756,782,055,922,233,932,255,794,
521,160,643,737,803,748,409,471,800,304,706,036,945,942,334,672,811,001,147,
987,823,328,374,102,574,664,646,001,086,760,068,823,321,731,639,958,820,298,
314,957,641,724,598,077,276,790,753,046,843,579,054,848,345,393,395,149,921,
179,442,673,260,109,502,446,789,819,187,267,927,213,957,626,989,292,791,261,
279,939,516,488,329,984,162,989,054,284,008,649,815,378,198,952,788,316,336,
730,943,275,316,085,078,584,217,535,977,493,784,685,774,075,879,414,082,096,
734,854,563,318,071,707,498,965,805,619,058,044,755,686,057,227,877,292,172,
348,239,939,473,138,376,451,097,584,233,155,137,002,527,111,440,467,495,479,
961,300,536,977,037,230,009,056,252,039,817,897,519,194,595,071,579,651,301,
903,471,270,340,628,713,482,921,736,252,685,600,573,579,937,779,170,111,177,
893,812,230,816,033,862,628,145,324,709,721,648,219,589,113,303,780,758,085,
541,533,641,275,419,397,200,264,540,497,713,581,767,632,300,800,459,771,155,
909,806,001,675,402,232,244,589,187,955,416,852,552,589,024,578,185,691,651,
957,397,239,152,422,885,820,459,689,873,567,038,387,018,092,199,818,991,123,
592,677,798,342,456,154,147,650,287,947,924,822,110,397,259,743,161,283,160,
831,484,901,225,164,455,317,573,249,875,607,722,980,203,740,084,035,280,853,
252,877,485,295,324,925,403,683,527,384,588,099,744,800,183,061,380,540,411,
812,906,951,545,840,602,226,757,528,844,245,860,913,237,129,191,971,357,296,
364,698,929,833,218,426,813,060,113,044,256,008,471,805,789,935,785,737,275,
396,548,731,499,702,201,881,711,917,419,336,102,837,853,593,776,554,992,360,
363,771,145,557,660,252,708,055,810,101,103,715,732,555,136,908,798,068,781,
264,579,809,005,060,040,577,338,941,392,887,679,560,999,849,709,565,434,714,
502,411,727,202,156,304,099,036,887,960,377,919,865,445,878,870,237,749,926,
020,770,947,075,744,981,152,062,719,468,403,009,066,660,046,655,079,060,408,
441,228,943,855,043,314,528,306,845,647,049,008,569,437,988,807,659,431,966,
827,653,887,849,968,497,598,627,817,158,944,924,379,112,142,887,312,740,144,
992,760,209,972,490,441,210,444,901,574,262,350,585,572,438,965,328,248,797,
731,057,547,799,200,325,529,470,932,487,827,773,098,447,270,757,903,486,124,
256,449,100,755,081,775,754,309,292,279,403,296,164,179,669,360,995,039,282,
979,789,350,305,893,567,028,099,200,725,073,563,674,333,044,830,301,258,355,
299,745,433,525,981,314,924,747,005,300,722,135,093,085,232,996,597,690,779,
933,760,025,431,669,467,294,090,953,856,601,146,032,861,127,818,251,363,975,
938,879,854,225,651,302,023,888,157,753,452,950,395,304,991,250,238,637,533,
948,875,216,501,657,874,305,715,556,462,431,492,501,073,128,285,356,099,569,
352,394,384,476,727,844,451,235,758,275,711,032,733,413,043,239,432,602,480,
204,012,584,681,687,088,865,910,188,909,354,424,098,367,035,202,198,388,369,
570,617,090,377,264,885,367,030,828,156,322,646,978,360,867,695,483,356,193,
193,339,892,220,591,225,667,766,664,299,822,595,428,987,446,082,357,333,148,
925,463,469,273,569,790,693,981,866,461,868,093,284,369,416,332,138,446,586,
989,881,461,105,458,607,721,457,186,604,314,348,728,212,016,950,551,393,162,
885,762,378,387,879,571,893,291,268,081,197,554,950,548,906,788,983,100,851,
464,930,450,621,766,452,677,452,248,052,201,345,822,019,732,667,571,242,335,
853,909,898,504,046,098,309,276,805,106,386,200,618,486,466,053,643,392,839,
350,116,653,218,660,185,943,698,678,568,876,942,457,886,333,950,362,967,170,
864,478,893,432,991,833,357,007,768,287,254,546,637,836,634,531,979,749,153,
640,772,804,551,519,050,322,842,750,554,869,026,471,838,187,734,836,107,846,
899,121,649,614,632,928,277,623,290,912,710,580,271,186,229,661,908,368,857,
100,451,103,212,667,494,573,151,496,355,632,357,903,192,212,026,661,495,929,
826,933,501,886,369,076,107,983,549,965,867,595,012,404,267,994,836,932,902,
021,407,645,968,889,290,445,568,606,053,653,238,775,165,541,265,889,436,459,
303,431,714,424,130,391,907,754,554,127,304,462,631,330,368,156,011,852,862,
545,004,729,298,752,100,438,595,742,016,963,610,224,732,023,386,236,362,440,
002,717,756,823,831,677,863,132,178,525,691,494,613,756,520,434,633,888,128,
099,794,393,125,217,059,446,400,441,246,735,581,125,205,991,182,626,868,091,
179,479,948,957,279,303,860,129,237,810,822,230,043,689,826,043,598,617,714,
162,156,361,382,622,213,884,069,291,518,156,198,620,992,161,627,222,001,199,
606,654,855,011,164,650,539,690,768,349,750,027,618,905,316,987,464,381,268,
718,167,171,247,830,484,228,121,794,718,998,684,180,140,967,852,647,051,298,
603,529,197,004,936,905,875,481,695,387,268,715,970,768,701,644,616,760,295,
731,792,417,506,207,348,517,154,516,723,658,815,295,579,951,436,996,631,252,
410,166,369,790,060,105,198,050,551,303,668,924,894,246,305,503,310,097,780,
026,581,255,234,760,368,560,173,381,210,649,322,115,458,290,161,230,838,007,
885,327,683,231,974,126,657,024,531,679,520,173,068,260,779,907,210,745,220,
305,516,694,180,273,344,092,939,714,525,810,727,267,348,923,540,331,187,395,
185,646,542,275,642,710,735,669,805,903,973,823,424,535,019,934,983,880,127,
579,855,187,803,952,985,122,900,349,343,130,995,727,673,913,911,936,697,582,
135,869,588,929,007,355,789,216,994,577,285,978,672,927,405,108,169,207,359,
504,179,294,601,443,878,483,791,536,305,732,215,560,077,238,623,372,684,564,
673,879,283,157,669,106,807,184,501,210,305,426,202,119,781,716,592,700,150,
159,103,171,540,352,367,529,375,535,374,881,091,984,137,239,154,297,356,611,
604,692,237,748,257,422,207,908,300,209,891,000,251,647,476,117,572,795,607,
898,976,621,105,428,218,386,607,493,266,183,587,347,872,035,771,553,114,764,
870,487,176,999,500,079,634,093,208,173,761,707,439,404,509,664,080,523,077,
144,404,883,283,571,649,216,632,041,729,695,201,053,673,931,406,225,568,584,
070,998,568,163,066,354,757,777,504,317,515,485,326,749,449,599,187,844,022,
905,923,232,336,519,216,439,624,235,395,411,040,089,115,215,149,615,516,061,
192,588,370,391,040,121,815,935,583,177,129,346,098,869,158,762,385,376,901,
696,011,603,967,078,123,736,592,811,985,416,933,724,459,300,297,523,272,503,
857,314,491,050,402,379,376,384,906,087,629,665,921,947,941,002,716,578,081,
637,123,103,367,750,588,777,265,475,505,763,575,358,435,250,317,819,721,486,
922,874,173,283,521,068,671,440,644,117,626,422,642,383,063,118,604,050,429,
839,049,249,803,691,835,182,451,422,653,161,612,036,645,534,697,005,147,268,
694,771,475,444,784,001,795,842,602,901,169,998,876,682,588,319,543,329,452,
207,770,482,801,506,304,385,982,125,039,832,552,232,670,930,430,430,788,175,
985,696,746,420,972,181,061,600,719,856,833,526,908,016,986,632,714,691,846,
008,536,087,101,732,608,210,147,157,436,822,452,894,262,251,612,860,315,586,
979,894,738,417,181,183,928,294,788,300,505,529,179,530,469,664,901,724,213,
011,009,989,799,335,248,890,598,136,487,828,297,153,787,648,511,288,578,100,
557,269,577,462,125,589,427,465,831,038,602,742,493,128,236,038,284,153,477,
713,716,535,733,928,882,174,634,109,500,077,756,728,120,221,863,628,187,471,
088,950,962,214,879,957,786,475,711,788,719,422,088,894,124,084,149,924,116,
447,015,689,935,720,202,629,918,527,575,681,910,462,487,970,759,150,410,360,
657,852,634,098,799,498,178,045,666,077,603,591,098,761,611,548,082,104,811,
361,049,127,230,531,720,368,894,432,470,198,199,212,103,707,314,375,202,760,
613,576,834,067,856,455,715,806,592,625,152,116,822,425,168,452,001,583,007,
420,951,524,777,992,669,389,736,204,656,689,751,262,402,105,095,405,066,046,
284,752,018,603,955,029,451,370,915,775,116,416,217,316,433,889,861,004,677,
171,035,401,970,216,579,537,727,942,662,250,406,839,890,252,674,656,902,306,
131,668,926,504,201,554,469,679,284,471,443,056,921,220,670,195,061,205,074,
813,951,225,592,734,887,200,932,687,349,987,861,923,056,049,190,955,764,563,
714,457,976,989,843,886,723,068,335,708,159,265,819,457,764,929,951,115,923,
653,839,768,372,064,245,261,770,323,621,828,910,583,367,448,531,641,662,605,
531,728,808,028,127,057,710,418,841,079,517,672,781,103,424,116,549,568,225,
839,860,991,959,354,944,613,521,768,775,336,370,709,934,812,540,673,823,572,
921,037,378,969,885,542,082,399,462,518,754,466,752,285,566,279,623,198,656,
676,372,610,233,000,962,625,763,701,630,402,103,821,282,253,705,364,248,674,
678,220,853,512,959,187,960,446,280,664,706,028,837,066,342,456,232,346,229,
444,066,040,863,111,490,742,116,695,099,370,005,652,505,602,293,700,779,842,
518,190,143,513,742,776,724,491,185,971,955,670,275,295,559,065,746,938,273,
701,842,954,672,516,973,342,889,481,183,305,497,562,855,835,865,971,841,402,
602,240,794,627,717,219,736,816,975,400,806,907,828,723,719,616,471,833,623,
852,295,581,495,697,876,563,596,085,037,915,286,401,539,096,100,034,302,044,
260,327,476,446,770,496,699,389,029,387,939,030,400,158,534,238,260,690,772,
736,257,366,963,653,735,608,281,921,242,336,789,689,347,662,703,358,780,989,
059,357,028,198,845,306,815,751,783,256,520,876,476,321,136,954,127,835,801,
575,115,191,177,295,570,514,866,465,509,183,882,122,619,371,068,188,919,825,
954,508,526,612,152,555,726,518,353,161,470,738,313,376,075,293,925,380,620,
322,100,744,468,748,003,777,757,864,028,220,293,971,951,557,082,213,830,931,
588,891,315,807,210,814,132,634,051,799,717,207,760,167,968,966,682,722,405,
797,575,617,405,496,041,682,631,241,226,582,285,088,885,053,645,177,141,470,
850,121,912,628,450,439,613,484,309,007,315,015,238,714,439,104,409,134,310,
461,457,237,982,787,098,995,804,757,189,159,892,579,042,590,154,438,576,135,
116,971,281,992,084,149,855,148,325,859,815,150,873,799,825,709,743,324,936,
577,436,873,744,386,139,775,141,489,285,936,715,542,201,012,669,371,088,111,
425,257,536,316,284,471,729,401,958,265,578,718,582,765,448,718,370,267,779,
079,799,226,272,517,257,685,266,696,340,933,238,730,860,017,705,030,928,597,
259,347,862,632,654,233,649,973,984,827,140,825,863,993,112,851,051,817,644,
211,623,410,923,750,033,584,286,705,223,730,083,441,463,562,976,076,522,114,
556,899,584,233,907,503,977,471,693,019,288,931,835,069,264,462,951,221,294,
634,355,464,658,850,537,582,199,883,836,651,297,436,371,315,648,995,007,062,
173,299,501,672,724,961,191,008,337,023,547,695,799,662,624,973,992,362,024,
773,912,040,254,562,729,061,864,730,589,853,490,827,986,445,798,475,658,804,
910,405,401,063,829,112,984,309,857,060,597,351,289,257,293,814,223,470,726,
425,850,102,863,236,513,292,104,682,720,256,985,515,244,270,319,580,830,613,
311,060,219,944,871,404,174,198,484,716,738,597,224,325,171,424,713,584,208,
120,139,049,201,782,092,121,176,671,459,883,252,756,984,823,575,666,886,353,
302,986,663,065,743,872,660,846,385,566,694,922,955,375,947,096,099,854,462,
329,740,079,328,218,689,906,897,924,397,489,627,563,922,129,463,930,410,714,
450,205,342,814,925,645,437,254,256,008,644,404,524,087,863,592,714,776,766,
660,652,283,246,876,239,993,722,257,676,539,681,434,944,244,621,396,124,073,
010,572,562,465,759,650,912,441,766,610,573,590,572,077,231,971,017,828,807,
222,535,006,275,916,201,423,747,727,670,761,138,808,583,835,412,386,216,851,
742,403,517,449,042,722,322,490,433,139,965,945,143,917,348,108,876,533,756,
314,046,740,990,038,986,719,971,261,656,322,589,025,102,590,978,960,948,242,
562,083,076,243,394,966,131,613,173,345,707,344,862,781,032,716,142,468,726,
702,832,672,074,744,330,956,292,786,724,257,253,005,304,409,954,745,714,946,
244,672,503,633,197,550,339,795,458,469,595,276,467,114,032,841,765,371,130,
322,478,414,709,788,187,115,586,630,745,484,967,823,013,708,895,712,505,056,
581,693,893,235,783,069,644,024,626,588,384,120,431,766,671,362,484,406,982,
348,809,546,753,288,651,668,303,458,374,741,240,356,759,197,343,365,988,577,
622,339,646,084,394,094,721,006,991,197,897,121,380,067,946,902,226,117,340,
430,116,068,917,184,524,754,083,448,223,498,283,928,633,989,297,680,219,529,
093,992,063,128,958,874,440,737,966,803,634,039,808,826,111,260,527,062,469,
316,132,606,803,795,969,292,826,611,342,672,869,054,386,038,770,698,667,500,
498,569,361,822,228,524,330,581,878,198,013,444,216,095,469,075,107,917,265,
804,082,154,088,971,967,387,131,092,069,679,873,344,039,713,744,756,086,592,
807,609,103,894,665,990,607,974,174,153,137,646,808,568,761,050,079,890,986,
575,000,174,474,120,693,762,654,700,608,528,210,900,968,340,680,867,992,342,
306,760,182,811,714,955,335,370,736,686,743,126,323,322,418,051,979,356,867,
842,613,727,842,461,216,451,786,279,961,504,760,731,029,590,345,916,337,513,
778,476,430,076,357,811,625,857,623,741,790,245,959,400,554,859,455,918,900,
581,698,447,790,224,684,467,872,080,697,838,129,080,670,777,186,607,094,714,
150,195,997,696,124,438,996,767,275,516,925,791,423,186,952,825,715,951,359,
907,577,261,452,993,147,082,629,372,996,134,568,064,197,275,696,241,153,104,
413,713,831,131,384,494,564,001,053,336,575,083,704,614,573,491,587,573,875,
887,871,733,577,043,247,987,829,502,508,530,446,214,709,839,980,508,035,762,
828,815,540,091,691,690,701,333,212,302,611,927,371,743,890,198,807,735,615,
701,159,101,385,964,218,531,330,559,887,212,622,266,390,741,527,371,257,589,
718,378,336,779,088,539,051,915,270,906,153,390,629,014,675,048,841,013,055,
731,663,001,436,430,142,550,161,058,273,689,374,292,793,925,360,500,641,606,
747,084,440,769,821,134,146,290,061,986,054,872,555,530,324,976,926,596,912,
684,602,143,241,127,300,952,213,297,366,477,500,303,902,609,350,795,525,484,
956,944,648,135,838,516,632,171,165,064,164,282,401,518,137,014,819,763,663,
529,029,784,583,596,476,100,313,507,720,383,674,182,214,111,178,329,370,351,
450,476,396,304,553,827,655,281,465,250,542,945,581,924,145,649,891,958,001,
541,749,091,610,245,841,021,481,814,843,195,607,970,763,008,620,471,582,646,
778,709,275,724,065,429,134,810,892,263,258,547,578,872,382,666,408,491,942,
880,904,070,019,166,037,835,667,967,990,886,579,899,987,077,863,331,380,327,
140,735,357,846,889,131,946,238,120,603,072,207,025,985,987,995,414,161,768,
919,448,207,348,702,327,937,341,225,038,521,053,750,667,033,883,514,295,238,
707,876,072,605,028,821,428,686,873,230,876,347,926,199,755,108,189,721,646,
171,687,067,361,926,646,174,297,557,758,482,917,864,043,371,862,898,430,640,
453,782,275,478,785,398,494,318,059,553,459,759,558,031,147,842,757,644,383,
710,085,107,271,316,212,455,472,377,179,205,744,635,306,496,302,180,648,621,
154,262,299,450,703,049,757,607,693,050,555,647,467,155,048,773,409,288,837,
339,251,682,301,472,322,319,043,709,145,348,637,028,901,482,471,048,685,563,
199,922,483,781,296,457,579,665,836,195,129,287,356,300,576,531,450,538,051,
150,779,961,459,767,548,589,565,933,217,291,951,473,253,798,867,334,047,889,
836,067,104,966,485,293,067,505,926,832,111,131,766,425,976,558,849,548,247,
174,783,625,761,083,340,007,697,201,161,921,892,353,393,976,437,361,255,048,
138,820,486,831,612,272,334,471,926,218,442,377,848,189,580,383,660,649,821,
839,730,441,953,630,877,491,756,506,908,597,685,104,769,634,935,096,865,280,
751,813,726,657,589,237,953,620,833,768,174,975,824,265,197,731,340,673,565,
316,655,843,624,414,023,342,149,935,687,836,665,316,510,227,212,383,345,380,
030,638,350,447,697,163,362,862,036,413,969,215,482,751,022,247,845,436,223,
448,547,457,618,155,052,914,589,833,520,506,384,034,639,317,984,565,422,949,
777,037,783,871,290,361,896,575,469,390,943,019,340,095,823,944,055,235,599,
398,064,057,089,149,499,646,407,825,485,069,377,678,187,752,722,013,829,066,
086,711,794,733,831,855,787,541,566,450,323,654,065,737,873,255,982,554,089,
041,626,936,814,355,669,594,572,736,848,556,820,948,390,478,043,430,389,367,
719,306,823,719,032,592,814,310,505,979,380,811,363,485,108,253,885,675,774,
918,026,071,126,833,140,073,618,866,039,293,094,189,021,758,388,216,469,590,
550,534,097,668,963,272,577,389,048,391,033,056,349,576,985,000,071,827,862,
317,786,366,486,080,924,999,939,357,061,652,577,764,610,970,620,611,422,276,
309,918,599,018,508,370,135,713,386,737,434,917,898,366,943,030,436,331,150,
237,472,705,383,859,590,997,721,894,680,356,059,265,430,539,951,019,551,575,
658,907,756,871,141,436,354,558,505,166,633,065,492,044,209,775,039,378,913,
594,184,246,184,883,077,550,937,497,327,028,152,498,083,060,917,838,850,628,
924,371,849,259,495,122,580,827,728,832,699,400,581,053,930,131,563,471,881,
830,269,702,843,924,719,294,359,220,670,526,890,042,336,038,640,908,378,628,
952,354,024,780,839,574,059,761,491,295,040,306,781,643,954,011,693,269,512,
199,684,447,127,070,415,150,523,946,412,721,815,603,513,763,511,124,947,238,
995,853,321,118,356,023,863,055,504,660,544,833,132,360,324,055,990,339,658,
268,266,959,322,306,381,511,747,360,923,705,998,675,018,386,704,049,713,297,
748,693,910,026,997,107,751,451,523,785,809,357,942,103,179,521,466,035,325,
613,939,946,259,001,550,590,104,468,319,121,385,404,956,873,144,838,808,745,
771,832,286,275,034,812,130,433,983,627,352,570,184,197,757,054,248,086,846,
798,654,519,970,447,416,958,624,751,883,767,903,114,948,410,835,923,693,382,
410,495,978,228,597,250,030,661,807,764,311,963,269,271,442,526,047,901,452,
967,940,081,129,778,937,710,754,812,407,814,939,471,145,061,545,069,333,555,
003,764,423,356,792,494,209,377,516,622,735,730,553,472,039,739,134,335,066,
262,526,852,236,356,269,359,929,266,301,506,137,829,489,296,706,816,849,598,
557,142,371,602,707,725,999,519,059,146,106,137,783,855,161,160,540,902,344,
996,406,943,693,996,753,903,239,063,676,453,965,478,377,860,608,065,924,417,
716,908,891,343,106,535,275,538,019,292,851,349,646,719,454,712,266,001,332,
502,841,172,117,573,095,096,696,607,903,529,763,170,365,177,842,967,694,508,
074,827,839,493,975,440,436,449,858,185,264,043,412,980,250,976,449,504,675,
570,646,834,409,189,072,296,886,023,122,114,321,834,825,670,531,744,970,922,
289,747,509,964,346,731,242,233,031,982,826,512,369,162,714,424,379,011,176,
288,328,137,711,099,105,469,134,958,136,953,175,882,372,600,007,296,387,766,
928,233,477,082,149,723,663,627,891,515,408,940,411,807,791,869,427,279,172,
635,176,493,254,062,995,675,419,692,231,014,064,625,785,817,930,211,120,812,
826,539,070,298,795,939,691,965,449,244,023,586,874,074,179,308,400,869,219,
926,429,381,360,595,927,765,383,900,774,323,774,071,578,818,985,329,779,164,
009,499,239,259,869,667,294,907,910,461,583,513,133,125,999,825,438,404,468,
198,134,643,790,647,089,550,489,992,534,080,045,713,453,475,604,886,366,597,
724,122,623,543,802,530,552,796,406,311,233,206,602,494,396,824,497,526,327,
438,752,528,257,598,232,153,769,406,717,871,466,793,942,432,796,038,739,506,
667,855,475,834,856,249,093,687,537,628,731,351,983,748,836,132,730,291,795,
881,314,673,863,076,760,379,544,425,467,112,668,302,645,705,220,068,586,052,
811,360,906,817,062,726,150,798,889,824,486,694,789,099,217,109,091,109,937,
504,638,796,055,844,612,733,696,869,823,454,375,805,256,375,393,680,058,330,
212,459,946,229,892,961,246,902,483,594,430,825,837,402,963,222,736,367,661,
868,448,709,743,555,996,706,993,155,022,650,464,794,615,833,832,653,761,800,
224,969,798,072,214,930,544,743,593,583,319,506,806,881,419,521,270,403,536,
108,550,700,209,913,046,925,239,093,305,587,293,568,532,904,361,784,731,907,
991,669,859,689,722,064,958,446,925,903,877,849,989,501,311,269,787,953,326,
220,960,544,341,792,838,196,437,802,209,902,434,396,471,934,687,843,583,535,
391,931,025,084,320,046,724,226,879,597,539,187,385,558,122,236,277,149,716,
058,274,928,895,012,706,753,432,917,494,095,720,415,935,720,386,015,785,775,
638,145,648,040,843,222,285,557,306,359,141,819,038,668,233,393,055,361,716,
330,162,467,074,364,168,803,500,249,874,620,894,930,314,163,252,508,044,309,
818,737,569,440,055,554,781,045,439,036,841,516,197,524,122,424,434,931,468,
600,583,541,289,816,150,401,774,696,124,966,898,271,478,489,998,424,706,389,
491,968,445,314,027,030,759,044,308,667,897,607,503,071,318,539,868,239,684,
574,950,832,731,736,751,740,478,297,190,353,348,329,619,144,066,950,197,463,
648,128,499,840,575,920,875,949,879,787,732,218,383,824,055,658,047,744,535,
144,115,696,626,084,377,912,268,797,332,730,243,429,245,479,061,763,347,859,
467,050,181,678,874,489,041,896,940,461,872,607,326,151,981,512,670,436,857,
908,224,157,802,758,622,961,294,221,478,708,516,694,287,522,476,058,438,235,
143,426,502,944,636,569,039,572,462,553,448,666,001,640,596,515,511,603,520,
764,537,118,984,704,405,372,400,513,886,875,572,484,883,143,907,933,056,231,
878,809,349,580,879,723,264,922,956,772,327,178,384,002,080,717,051,356,824,
356,530,217,340,647,443,322,098,274,616,086,586,216,532,637,218,675,894,427,
591,383,108,889,009,825,345,832,708,196,951,792,794,268,488,399,657,796,414,
330,099,717,985,679,337,536,519,087,378,721,946,218,127,921,009,758,335,069,
691,051,606,238,596,207,836,368,298,061,570,170,838,679,929,260,277,797,131,
575,994,210,253,169,347,813,752,161,643,082,086,856,553,581,260,755,824,032,
779,903,006,093,660,727,725,587,624,316,139,525,366,063,274,741,390,239,376,
919,141,981,366,738,470,095,060,213,439,312,576,704,768,325,809,915,884,786,
115,401,384,816,774,850,067,506,649,454,937,024,262,101,145,859,974,303,709,
349,935,325,792,992,893,478,215,817,605,725,951,108,147,329,505,005,249,998,
380,495,619,928,248,405,398,550,942,799,326,968,078,817,091,773,008,128,987,
092,878,814,106,292,176,948,557,891,659,183,309,930,273,342,187,552,540,795,
707,340,445,640,281,924,921,194,217,171,692,052,819,940,860,877,252,377,570,
504,792,252,372,442,794,180,608,144,313,096,020,896,846,857,287,612,437,399,
626,269,334,733,263,818,801,259,356,625,874,996,653,468,138,146,595,141,696,
324,713,685,402,858,945,436,609,802,986,411,006,057,491,398,135,532,215,426,
933,737,457,932,647,122,858,705,807,795,618,800,640,097,926,276,522,943,271,
774,578,641,520,960,768,598,990,076,812,040,105,975,779,351,926,911,520,177,
198,480,476,582,028,992,370,329,651,344,334,200,619,512,123,727,687,395,730,
248,873,433,355,214,202,894,302,296,839,814,837,490,567,971,002,016,566,424,
303,727,553,103,629,023,942,309,115,095,186,662,108,979,788,915,977,098,321,
656,234,388,247,974,600,173,668,605,777,117,099,487,817,221,441,479,365,855,
761,021,139,471,366,512,870,166,307,086,780,918,103,577,371,853,241,046,668,
234,825,425,201,168,411,313,839,896,231,337,031,271,849,621,366,902,525,071,
843,329,361,146,487,846,167,737,171,829,243,761,730,545,095,011,210,692,089,
540,858,666,347,648,547,074,080,765,082,864,474,011,640,452,112,898,772,441,
784,368,191,794,345,868,628,178,793,504,528,769,337,664,288,232,904,802,127,
030,845,156,414,758,898,337,463,351,745,931,605,189,058,079,898,303,512,930,
275,125,863,901,035,601,459,567,517,664,801,543,535,112,708,859,380,786,811,
784,403,641,735,546,168,385,151,695,334,058,599,869,509,364,365,120,984,232,
771,839,727,686,714,101,877,872,492,673,890,291,032,170,271,177,013,094,099,
691,272,088,061,037,283,958,636,317,042,456,746,149,081,054,245,543,599,443,
251,969,890,406,529,191,140,684,075,930,916,890,299,931,213,151,354,174,793,
132,583,613,035,820,544,597,630,174,345,154,550,015,090,282,318,935,077,084,
542,077,761,878,756,546,400,928,440,448,591,870,177,155,401,602,912,877,372,
844,793,762,716,823,601,599,564,216,358,296,667,267,687,129,887,863,768,953,
514,933,577,270,959,910,012,049,839,235,030,641,697,439,157,301,521,295,081,
909,294,850,381,743,567,854,939,263,662,558,425,184,251,444,613,702,391,435,
909,724,520,019,216,825,468,952,747,396,151,261,237,145,913,088,807,390,458,
358,349,655,677,983,900,890,820,003,720,695,838,924,313,344,086,022,224,877,
504,486,124,250,714,246,499,186,121,481,886,363,032,961,377,124,149,569,835,
676,761,156,625,277,297,645,735,602,404,949,420,664,034,569,601,029,745,318,
250,339,578,107,037,427,917,441,851,094,382,256,160,233,914,452,100,565,059,
208,187,842,581,052,837,377,982,653,633,367,662,210,006,098,943,823,179,458,
748,154,100,701,260,100,972,904,221,263,419,867,006,234,870,535,835,066,743,
947,987,663,055,090,081,794,485,843,200,778,084,233,183,162,062,218,052,218,
149,945,205,118,456,486,622,991,466,641,041,458,379,971,344,772,530,728,180,
827,771,869,044,138,565,212,213,782,690,767,554,880,181,219,094,741,605,317,
700,176,063,521,461,105,748,666,795,397,475,613,669,984,683,790,920,870,208,
362,032,814,014,595,690,340,985,788,019,087,970,571,913,383,753,753,463,062,
472,203,071,066,922,869,654,402,933,850,316,814,946,748,068,118,365,546,484,
630,315,559,547,628,896,207,380,531,942,914,818,237,207,294,938,164,382,623,
627,776,552,297,902,832,212,247,954,695,158,271,657,146,514,733,491,895,571,
115,470,752,130,276,637,733,909,429,345,599,603,456,151,551,085,806,660,599,
794,817,755,111,126,312,394,379,716,262,779,663,520,421,643,044,592,104,286,
298,727,796,131,105,236,872,026,229,020,743,421,333,009,741,841,937,016,749,
050,098,694,470,652,450,759,422,833,868,546,036,495,493,845,349,138,130,681,
491,714,400,917,740,351,624,783,435,475,690,375,897,294,115,507,163,491,675,
423,038,963,096,278,360,848,213,059,222,311,438,173,718,636,782,485,651,490,
420,477,650,948,185,477,364,243,802,040,396,322,017,381,626,449,016,657,164,
476,204,716,859,578,049,877,861,897,828,956,601,169,813,944,286,210,378,260,
062,947,276,312,840,890,089,688,829,627,132,251,260,057,044,943,542,763,175,
930,621,600,718,988,511,196,100,943,365,643,244,891,294,812,337,078,385,982,
078,501,277,205,857,460,771,291,956,756,462,557,042,117,745,478,872,080,056,
532,519,686,764,481,661,431,563,427,135,216,273,870,474,814,902,315,830,968,
441,375,091,180,291,011,629,465,896,506,388,448,461,353,397,314,362,589,853,
981,855,266,182,942,089,302,958,917,274,058,244,098,426,548,028,971,565,676,
671,355,849,498,698,656,252,241,411,925,669,804,990,531,964,000,165,264,004,
189,257,458,834,741,480,026,561,176,695,911,023,724,468,392,216,642,057,595,
640,753,150,903,824,933,494,236,123,442,940,077,787,643,822,903,361,713,723,
344,767,911,769,605,947,621,696,690,613,735,355,017,671,106,525,677,051,287,
623,048,293,807,555,013,928,774,114,417,694,521,523,292,010,400,940,719,884,
776,512,613,850,626,474,848,319,942,126,915,246,132,484,440,758,871,570,986,
107,062,900,711,743,509,277,446,946,059,712,198,342,519,615,136,475,614,664,
311,079,844,122,123,763,157,192,801,752,151,236,782,216,141,850,693,849,687,
159,827,491,759,886,419,946,184,577,058,842,314,178,542,285,597,453,273,866,
086,106,645,678,913,840,776,556,970,869,267,689,096,533,081,354,261,238,902,
465,568,722,063,558,838,771,669,072,014,531,963,080,913,082,823,123,097,660,
348,542,953,220,714,363,589,911,241,980,076,069,909,387,423,679,617,291,857,
843,423,898,792,977,289,074,816,423,340,054,132,819,555,618,966,914,250,128,
203,989,695,543,032,119,237,327,112,217,653,836,957,292,702,717,909,674,984,
954,896,877,018,045,602,201,732,701,095,826,484,099,894,400,750,901,759,500,
218,899,121,030,377,387,046,131,997,978,240,331,132,127,911,651,718,622,800,
788,435,470,065,544,162,880,821,421,326,120,609,658,510,301,644,342,390,116,
454,646,544,381,670,821,345,826,621,257,489,199,741,504,880,225,225,992,058,
507,593,716,366,351,595,641,626,846,865,737,876,158,600,445,346,094,065,148,
686,759,438,725,337,463,388,694,666,833,019,015,101,459,961,427,816,719,790,
578,528,109,752,667,673,141,345,042,348,350,178,786,941,083,477,603,900,688,
210,666,151,597,589,804,016,161,445,162,079,737,932,829,949,523,192,483,092,
770,488,366,394,665,457,808,426,076,637,574,656,590,368,013,305,104,935,510,
069,148,611,986,639,042,425,099,608,362,470,701,010,190,747,203,206,202,022,
412,645,895,731,858,637,426,145,912,275,684,109,370,127,657,778,180,014,424,
978,098,228,257,620,689,150,766,749,335,218,493,257,800,172,526,451,872,367,
042,809,475,489,936,829,273,005,719,297,381,269,135,131,924,153,009,022,234,
001,694,859,375,491,263,832,541,844,482,048,677,833,081,273,539,120,144,765,
341,333,280,499,886,891,949,947,741,684,616,998,944,912,490,254,464,839,791,
969,960,818,792,963,202,864,650,144,723,429,588,023,305,887,057,024,957,840,
030,332,767,604,781,064,155,150,177,994,162,407,357,112,860,870,433,411,059,
064,048,867,127,046,149,042,940,433,312,513,399,213,791,462,059,571,912,072,
918,103,865,791,832,581,683,512,061,883,981,401,784,713,477,113,630,546,464,
772,852,147,904,922,452,022,857,529,265,639,896,802,709,098,649,020,411,627,
095,410,865,115,391,797,335,739,903,090,169,052,738,190,774,817,795,985,267,
599,745,909,040,478,064,132,482,630,806,722,562,309,804,932,873,653,185,696,
104,352,016,425,773,248,609,912,381,175,946,737,758,340,063,454,004,891,804,
350,252,586,609,020,705,891,603,285,814,625,833,102,211,661,859,668,227,319,
500,351,272,268,128,934,409,572,748,379,416,910,657,317,558,748,007,085,264,
402,041,856,815,777,851,390,469,710,899,076,499,968,980,697,987,278,361,407,
548,470,312,105,303,505,801,651,702,324,142,785,359,585,424,034,122,923,733,
660,263,874,519,345,675,008,999,642,222,458,781,133,358,769,878,819,594,466,
307,969,134,775,863,426,231,445,471,545,407,549,886,655,309,719,920,257,450,
371,592,200,393,274,982,310,433,846,683,868,035,273,414,749,918,940,253,425,
057,527,873,950,677,486,518,984,610,691,063,468,880,111,691,800,009,524,950,
865,563,522,263,290,595,324,462,532,964,368,034,832,126,015,470,689,530,745,
159,393,896,266,033,414,074,927,704,235,585,072,300,164,696,150,032,629,617,
603,510,234,091,218,581,448,638,601,786,234,121,525,110,543,034,578,252,724,
863,447,585,943,000,880,203,555,975,515,798,273,661,467,578,901,334,415,799,
910,242,616,415,909,354,795,612,053,869,855,857,937,223,726,096,866,778,481,
182,390,838,714,781,947,259,798,807,635,819,793,655,408,717,717,146,391,028,
830,866,195,997,952,381,297,535,918,226,622,912,120,036,969,558,140,758,720,
673,276,894,916,242,087,036,990,820,291,962,114,457,139,450,617,095,963,100,
490,327,549,200,258,286,105,682,146,372,775,303,839,830,315,126,629,796,084,
221,427,151,441,441,656,453,056,039,309,347,753,819,530,051,900,183,063,429,
308,022,807,687,214,375,576,129,444,591,794,574,079,430,775,627,504,608,892,
278,310,765,484,762,644,113,442,366,994,597,295,896,595,010,455,884,424,679,
228,600,519,010,315,366,021,809,464,999,282,610,051,409,245,703,133,096,300,
847,070,748,355,912,685,008,132,426,424,994,707,966,240,729,280,301,244,336,
489,093,234,152,588,147,174,148,503,717,628,413,464,902,763,054,442,086,970,
165,015,413,479,466,053,416,828,512,983,733,145,823,210,006,553,892,160,585,
915,149,180,121,208,334,340,362,744,880,202,130,964,041,393,166,953,407,948,
304,954,033,174,729,771,663,698,263,068,109,169,096,742,339,208,550,277,233,
152,854,521,080,986,122,576,911,513,315,491,022,548,328,138,975,801,947,713,
919,090,855,286,409,824,719,295,774,720,848,496,931,136,437,414,112,034,695,
791,014,931,888,531,101,601,361,903,222,081,434,633,650,282,025,464,680,631,
899,474,627,380,920,385,822,642,549,613,471,849,494,930,182,964,737,204,993,
245,159,218,557,020,156,215,696,380,383,083,241,225,113,951,653,411,799,482,
156,159,913,468,158,027,857,738,904,845,218,172,474,820,846,728,492,596,848,
303,606,116,832,358,125,839,013,129,769,348,325,495,625,975,402,716,024,292,
650,460,215,183,204,705,558,680,121,153,375,798,750,261,225,542,399,687,116,
580,330,145,438,907,446,990,991,335,216,605,336,424,194,096,261,299,069,415,
809,927,618,439,560,779,320,603,060,670,369,338,021,343,205,752,933,838,525,
040,037,446,099,901,005,736,619,432,246,729,787,906,839,754,590,902,482,743,
178,780,535,974,965,795,907,312,316,201,746,604,237,996,458,215,092,118,627,
777,098,515,917,468,538,593,159,088,555,048,417,951,501,683,877,558,819,254,
274,474,226,204,485,188,165,862,948,253,173,749,933,105,213,876,438,544,053,
164,705,222,044,096,040,968,264,030,383,888,470,669,102,297,395,111,011,492,
699,561,617,160,568,532,832,151,509,768,390,992,467,009,443,698,633,329,765,
234,562,750,625,700,862,006,746,415,516,162,352,804,013,886,230,518,866,385,
450,875,064,132,423,497,600,863,013,089,491,365,421,572,168,534,146,760,236,
944,538,992,464,475,312,273,554,018,699,800,141,329,733,444,819,298,557,551,
010,093,997,977,683,380,445,908,426,759,306,197,597,317,686,661,130,581,271,
752,320,928,726,751,907,411,337,853,384,964,772,097,125,881,425,124,762,073,
635,223,061,436,013,133,441,945,480,335,026,117,229,949,847,927,162,325,245,
493,057,142,901,631,906,262,540,927,376,530,574,222,908,460,536,019,579,485,
667,379,769,871,951,973,394,848,967,910,806,806,669,486,666,381,611,846,912,
204,388,737,840,707,169,166,058,864,923,134,568,877,612,981,759,414,394,007,
370,490,721,455,011,986,506,899,546,543,506,514,927,654,157,684,814,750,714,
289,373,320,095,026,463,458,252,323,299,996,757,780,299,626,152,288,457,202,
447,149,470,717,203,125,479,384,085,910,764,447,069,917,095,613,695,302,372,
773,590,719,708,263,350,912,912,884,308,704,466,427,556,864,842,791,437,055,
766,180,393,578,940,061,767,499,874,540,987,049,076,093,308,415,344,701,645,
898,084,885,009,454,095,313,339,783,399,892,982,564,247,561,839,329,581,885,
694,124,949,080,318,460,730,259,128,392,016,824,387,752,443,663,960,129,427,
752,874,256,451,269,767,092,734,050,972,506,363,948,139,726,802,556,349,681,
688,298,704,512,976,600,579,642,565,952,840,977,072,522,341,950,845,004,949,
656,096,587,895,169,344,287,584,304,193,760,857,852,705,187,904,533,312,020,
429,612,680,186,329,387,738,160,977,373,978,970,738,693,691,685,987,222,039,
672,705,415,344,541,620,615,070,019,027,693,909,216,035,601,131,404,970,508,
532,335,460,076,318,545,920,153,825,619,783,348,701,657,604,532,705,599,387,
521,385,746,422,851,051,337,971,177,948,965,470,158,984,542,023,802,462,464,
873,543,096,589,622,626,276,283,015,135,343,929,729,599,798,696,410,130,769,
911,896,917,043,769,058,045,277,647,406,589,147,294,579,364,426,481,443,431,
908,290,011,169,795,401,415,637,726,229,697,871,316,253,433,880,503,496,485,
999,234,572,326,024,542,945,487,693,697,721,349,901,539,484,557,589,802,460,
365,598,811,068,707,264,142,777,924,151,522,650,258,134,727,435,337,812,751,
629,686,747,831,375,272,028,468,005,094,725,304,359,267,500,849,774,180,569,
147,982,397,609,068,823,646,241,744,147,746,680,982,375,710,535,877,413,891,
755,590,861,143,535,517,900,072,990,751,598,381,980,975,696,068,930,251,743,
343,326,755,690,862,112,184,200,081,263,480,126,359,181,786,304,094,859,443,
915,859,862,247,638,641,555,583,044,690,620,677,179,492,487,135,456,438,427,
805,906,321,638,711,219,176,552,383,444,516,755,569,979,802,985,493,915,124,
426,947,140,932,824,384,690,417,838,084,269,252,755,921,107,297,024,383,358,
432,411,233,522,305,420,954,286,650,335,074,560,175,588,982,698,760,340,396,
837,683,545,956,448,282,714,238,852,290,428,969,259,645,521,443,798,121,566,
014,289,736,039,257,408,721,571,329,581,443,363,994,971,336,906,233,911,962,
308,067,405,950,459,882,657,081,826,185,767,268,255,240,231,290,823,245,311,
470,157,945,457,196,263,865,657,380,959,812,859,135,289,059,570,630,273,902,
475,574,148,180,714,709,042,421,668,105,393,567,488,703,420,170,715,061,837,
032,491,086,030,544,303,940,942,579,663,237,461,645,731,786,119,660,247,962,
709,094,714,821,193,925,848,406,686,006,361,236,091,384,145,535,912,701,223,
186,900,708,835,325,414,276,844,071,604,397,208,534,187,627,970,936,144,359,
284,288,688,609,519,354,963,456,838,023,279,240,575,103,390,996,251,060,916,
713,340,739,966,318,720,007,699,036,862,721,576,627,670,419,818,647,342,564,
814,393,434,270,218,232,719,961,235,448,241,839,872,507,432,256,394,642,259,
607,692,913,215,575,695,086,273,647,079,592,227,605,011,631,386,451,849,004,
805,807,164,464,022,316,925,780,896,151,261,844,735,068,720,191,971,073,968,
191,161,953,618,370,786,207,341,950,036,277,723,652,659,673,371,514,347,677,
188,913,799,605,587,579,150,193,347,657,653,272,116,290,524,298,116,634,016,
370,747,224,037,176,737,165,941,472,687,757,031,960,725,629,828,446,272,227,
464,461,761,206,201,215,018,815,153,069,976,675,201,928,545,653,101,823,524,
239,080,002,173,447,386,803,222,734,292,682,525,766,785,848,466,482,576,970,
382,939,834,191,365,498,516,723,029,582,496,954,007,267,594,771,829,502,595,
284,705,031,197,800,542,705,187,436,060,498,657,319,575,778,590,745,433,467,
447,050,092,159,425,574,568,250,588,550,370,560,291,501,588,189,616,469,390,
553,020,318,752,391,832,827,488,735,021,210,703,174,552,786,057,994,293,421,
490,281,249,697,985,454,110,153,287,220,038,066,325,015,503,808,716,469,983,
908,287,898,944,700,300,435,148,346,023,908,157,786,161,783,416,356,011,993,
037,968,517,991,437,276,014,913,184,821,917,143,824,931,572,204,756,894,445,
849,661,195,649,900,662,232,076,074,129,440,707,880,731,608,412,391,832,251,
071,687,720,334,408,408,812,309,733,147,095,551,013,034,858,828,848,947,991,
094,955,731,661,243,737,757,668,777,823,395,640,052,881,710,584,115,720,066,
704,148,579,827,803,584,539,134,677,996,731,088,656,271,457,202,039,707,609,
167,374,747,181,272,432,987,898,272,662,920,046,758,184,041,963,002,410,545,
205,412,407,405,645,252,922,169,920,956,690,804,076,232,179,558,345,714,305,
617,264,132,405,375,516,082,569,900,261,272,061,084,583,283,167,792,180,073,
789,887,335,129,104,118,631,138,641,317,312,142,307,810,704,093,436,196,436,
378,619,357,675,647,109,433,200,460,330,942,007,877,757,588,144,115,827,387,
008,729,605,610,988,525,803,697,290,420,971,635,683,945,333,686,628,088,099,
471,628,003,633,762,865,438,811,604,976,499,248,801,139,388,138,373,688,575,
879,272,853,360,529,673,081,063,754,130,451,922,885,834,228,207,800,956,415,
212,039,225,700,310,401,100,344,041,324,678,425,271,022,821,325,090,768,796,
419,929,087,835,977,740,501,775,446,355,892,642,336,968,025,861,088,285,277,
603,763,199,232,970,271,285,418,223,460,612,497,529,418,756,826,165,787,079,
489,602,853,855,970,296,340,089,292,398,872,231,926,769,463,582,413,178,095,
262,017,896,532,774,972,106,762,148,953,258,940,114,475,118,538,720,166,017,
653,361,859,716,360,487,209,777,562,325,569,317,764,543,177,873,958,060,480,
280,826,544,798,073,247,741,664,182,464,357,774,342,798,283,102,616,266,465,
970,660,083,929,494,386,074,049,423,408,024,004,750,497,248,113,941,234,851,
291,331,057,604,144,306,993,195,986,976,191,518,365,680,524,750,329,667,274,
408,010,921,519,260,591,101,758,913,861,761,740,052,751,332,852,238,723,726,
039,017,377,928,253,345,357,831,491,630,966,420,387,444,652,195,391,415,266,
797,696,747,442,797,095,528,787,141,372,338,901,638,310,264,119,981,283,997,
594,129,469,772,700,188,454,412,583,515,927,303,918,216,230,721,820,121,742,
085,944,125,429,716,351,161,368,692,205,712,034,158,470,572,980,467,144,465,
291,633,241,799,489,835,492,401,535,280,523,166,108,402,700,400,552,682,642,
074,131,921,025,910,468,125,723,644,890,940,940,268,857,325,188,751,601,423,
057,314,350,363,103,660,013,751,725,536,855,951,224,446,323,766,167,371,292,
037,286,813,384,611,172,324,223,075,223,887,094,319,199,101,681,180,473,230,
752,200,684,041,160,802,346,725,252,717,588,788,165,807,907,892,966,173,700,
273,660,129,065,337,860,922,730,779,511,376,583,587,815,452,622,129,893,551,
161,925,080,934,684,493,261,399,753,365,309,773,915,508,396,693,750,646,303,
461,557,457,047,485,838,596,234,173,958,860,390,046,865,236,334,747,344,934,
198,321,845,317,679,180,990,583,059,264,587,226,751,059,042,682,113,154,472,
071,559,566,766,550,450,262,998,330,938,972,428,555,241,666,971,655,330,672,
908,152,912,211,817,758,189,559,605,137,022,315,870,786,164,773,537,460,790,
562,983,490,227,867,489,304,057,992,632,807,245,655,267,608,467,285,273,343,
435,275,924,639,234,807,909,030,438,310,429,019,051,383,749,654,631,742,139,
856,501,575,106,209,419,191,504,205,769,711,223,692,771,563,765,006,409,889,
912,277,185,166,101,161,278,301,861,552,528,227,259,792,042,614,245,256,599,
584,074,335,913,118,831,242,968,588,584,802,990,540,569,047,858,749,878,622,
503,865,246,766,339,385,820,363,158,868,247,844,169,085,118,592,550,540,228,
189,991,816,192,211,050,762,582,982,466,360,337,594,032,816,979,345,912,839,
711,855,536,941,023,319,845,136,392,695,007,188,435,940,292,230,636,719,901,
125,602,494,565,459,957,608,545,787,525,888,081,469,523,788,010,854,727,114,
828,682,492,534,683,013,347,061,670,994,998,567,479,127,982,506,513,967,543,
990,546,510,669,634,357,187,209,506,458,658,847,601,713,965,843,554,348,409,
597,052,648,688,665,324,564,153,749,723,183,255,090,919,417,885,725,901,267,
204,387,640,099,414,767,136,164,397,629,688,533,273,963,083,592,607,289,245,
106,781,151,153,632,622,604,312,429,024,025,912,487,386,783,258,065,751,324,
027,013,574,182,811,843,997,323,827,661,780,821,537,163,464,546,107,015,778,
217,845,758,582,389,425,141,627,793,405,133,528,886,174,191,556,707,169,894,
833,947,972,289,985,947,011,772,581,323,926,447,957,239,982,318,645,909,400,
346,898,098,443,329,400,525,294,528,937,053,020,193,970,311,591,209,407,541,
248,581,468,501,951,631,895,134,408,819,046,475,909,542,970,544,771,654,504,
646,821,733,253,352,922,715,845,900,684,355,865,414,040,548,694,691,187,838,
154,417,052,867,532,002,512,351,092,315,131,711,402,161,803,133,521,692,593,
672,391,510,983,621,884,749,609,331,760,526,259,415,028,543,451,284,281,624,
920,044,043,502,140,998,460,654,051,991,077,480,660,776,265,817,592,161,455,
293,465,442,529,442,295,730,492,939,378,494,610,940,044,268,731,487,685,253,
187,351,463,329,606,744,435,282,333,448,254,675,346,622,613,022,079,431,623,
586,928,006,842,589,985,647,369,668,454,549,287,124,850,442,476,146,923,109,
939,567,237,060,799,269,845,175,057,639,858,125,049,211,656,282,417,973,656,
768,270,210,976,377,717,538,474,054,041,090,825,751,917,840,869,168,371,797,
565,730,722,290,702,303,761,991,443,816,480,374,072,904,124,066,534,762,533,
185,294,349,017,636,118,188,124,561,502,506,993,050,337,223,703,314,891,372,
340,515,262,075,933,537,093,879,148,057,226,702,971,651,571,653,028,249,273,
974,659,990,941,639,080,587,382,901,558,344,881,419,073,776,613,034,838,709,
690,845,098,667,191,133,893,282,975,989,167,808,312,962,160,758,653,977,365,
476,182,727,009,730,152,905,892,641,166,133,118,109,562,237,357,473,534,345,
157,517,792,539,237,234,220,081,333,444,388,363,974,890,093,620,221,313,069,
461,765,462,188,546,373,907,780,282,506,396,271,007,991,023,035,453,684,817,
428,998,068,747,718,418,554,055,268,222,841,565,098,937,709,020,522,112,118,
441,055,485,957,281,982,846,404,939,803,823,377,025,363,881,013,196,628,382,
223,506,761,633,013,433,354,112,726,659,044,114,252,145,601,107,712,467,145,
440,616,249,907,019,374,736,064,078,354,166,504,604,476,775,376,604,202,260,
363,614,203,877,826,625,442,444,145,376,310,131,588,763,138,313,862,771,032,
062,006,341,744,915,710,061,356,397,541,441,409,142,427,777,566,269,231,789,
478,740,828,681,901,110,472,842,904,720,797,212,602,199,984,443,889,910,700,
451,382,761,996,381,808,267,368,643,439,819,607,946,153,418,165,647,768,565,
607,863,524,758,133,260,710,641,012,771,834,182,627,442,027,327,361,102,770,
417,289,569,949,960,481,981,273,160,680,222,728,112,613,397,668,672,017,530,
261,389,562,703,361,318,349,014,091,504,915,719,462,874,877,044,577,990,420,
116,530,814,947,588,166,365,418,015,034,735,486,200,209,337,713,217,113,695,
342,644,889,264,830,793,339,211,502,797,504,762,455,566,124,450,670,191,742,
409,513,518,130,868,856,291,979,099,896,064,789,670,901,858,899,954,584,227,
857,643,749,278,070,281,441,897,683,077,270,463,592,300,403,851,174,313,135,
313,475,537,629,633,722,931,011,770,310,442,232,453,698,648,473,386,658,974,
295,909,741,230,239,240,871,498,621,918,720,535,165,284,008,353,635,816,697,
771,142,765,431,383,306,282,404,912,348,081,075,851,270,905,104,968,071,001,
879,098,483,703,092,999,584,638,046,751,650,813,119,612,359,220,113,715,835,
116,707,932,632,130,368,915,901,839,299,761,271,926,239,297,611,310,865,265,
287,262,369,938,041,850,617,901,324,551,838,481,183,615,708,158,284,108,296,
560,123,239,611,425,051,109,943,200,094,010,113,861,382,799,283,593,615,152,
832,241,447,786,132,731,889,158,658,713,422,374,245,889,146,380,630,860,444,
009,810,407,047,757,637,168,609,419,028,436,162,702,752,212,480,954,099,356,
273,434,092,778,890,614,024,834,123,105,308,254,980,886,438,310,415,376,473,
776,369,241,527,928,022,095,239,282,734,758,889,697,659,302,856,226,360,353,
395,497,713,835,438,248,236,790,101,634,056,680,929,493,379,540,690,462,565,
450,356,495,497,425,184,437,893,642,962,158,246,516,390,962,286,197,687,856,
807,136,691,418,135,861,958,569,405,419,804,856,345,238,804,132,642,043,743,
254,741,655,007,482,725,142,856,621,037,454,044,470,497,036,502,547,786,092,
406,230,489,823,101,905,251,245,674,579,904,059,042,227,368,726,446,704,305,
500,615,746,317,759,262,713,318,263,761,969,731,583,746,602,483,211,946,464,
221,009,230,971,311,185,015,260,452,621,324,573,206,174,974,346,961,939,989,
287,210,217,764,618,153,966,813,690,582,832,530,231,515,186,684,464,257,521,
222,160,487,219,373,446,911,544,851,926,614,978,983,467,516,079,185,668,238,
043,699,681,430,043,397,133,928,785,924,242,782,290,542,234,568,142,819,628,
318,491,008,525,641,815,551,665,364,452,699,176,920,931,966,060,994,171,831,
722,032,321,737,225,700,127,857,256,728,950,384,532,717,994,045,296,742,243,
564,347,606,033,903,973,158,785,896,681,556,448,775,095,557,214,632,753,727,
086,842,739,784,100,537,410,802,906,845,178,651,669,138,761,962,026,162,395,
497,149,571,969,558,782,686,939,752,099,390,593,336,057,908,100,128,300,969,
530,627,622,949,330,546,188,998,426,648,450,679,099,272,690,151,172,994,397,
030,097,964,014,232,863,702,009,556,518,342,813,843,759,215,000,762,367,233,
185,166,202,891,050,179,045,111,359,799,858,819,429,030,681,959,381,649,440,
490,815,064,704,280,061,678,747,778,632,234,276,499,809,267,547,351,548,992,
246,948,184,938,317,279,485,750,764,716,215,384,128,083,403,464,828,556,085,
278,924,297,746,161,021,691,068,429,534,846,268,587,856,265,330,053,881,071,
806,781,599,985,132,729,992,750,548,867,967,049,808,742,324,936,776,049,937,
687,300,649,413,835,264,100,775,102,475,008,470,273,574,796,238,939,805,540,
310,717,196,510,410,724,642,973,310,522,491,372,599,413,138,313,934,926,260,
213,461,896,169,943,635,815,137,159,350,048,805,047,130,347,959,125,523,591,
036,873,416,595,577,534,299,072,184,709,871,623,111,534,758,653,886,889,295,
464,487,741,733,677,342,808,224,678,585,051,167,031,140,096,961,962,011,754,
635,464,834,608,478,694,774,433,522,871,756,726,196,518,525,646,029,899,654,
385,822,083,480,434,435,668,633,615,203,116,711,456,962,662,158,295,272,940,
287,786,350,092,733,768,311,257,022,660,687,617,501,224,001,847,831,071,605,
378,793,243,814,009,173,341,725,653,794,723,287,361,851,615,382,501,723,761,
287,250,876,819,259,719,733,857,859,038,760,413,627,047,522,081,626,940,236,
727,586,388,881,558,221,273,949,743,411,895,772,797,703,493,805,039,416,172,
116,968,497,581,368,806,569,415,486,862,165,390,187,335,606,090,295,309,317,
215,737,416,002,330,350,409,710,474,454,085,811,656,308,256,100,940,052,536,
495,438,154,740,982,203,698,280,666,154,251,460,696,378,680,126,776,556,225,
416,788,088,746,962,514,378,423,368,261,541,847,140,231,288,139,631,041,926,
139,698,993,941,639,776,573,641,338,426,788,506,440,308,745,367,768,973,764,
868,198,312,797,032,885,064,642,228,690,295,001,458,899,048,882,545,231,181,
696,144,037,192,541,238,411,007,873,920,069,924,684,320,975,802,468,722,774,
088,224,455,555,552,142,216,792,732,913,032,166,956,124,548,598,718,732,791,
637,203,536,198,922,525,748,597,123,489,102,177,051,606,698,517,976,100,103,
312,584,861,277,601,083,886,376,431,773,485,346,869,779,630,993,433,999,810,
256,875,543,666,784,542,354,422,276,071,553,813,179,968,919,013,425,358,560,
201,256,442,212,428,467,453,086,149,973,219,715,581,565,030,967,255,044,029,
035,134,214,468,742,039,547,742,501,939,020,172,553,005,450,589,838,810,832,
006,375,337,888,577,759,955,291,661,480,758,048,803,967,670,746,365,251,033,
053,653,336,944,774,300,691,221,536,118,902,452,677,643,536,494,331,185,721,
656,734,361,353,499,913,246,826,268,794,518,991,154,138,294,100,991,984,086,
653,306,788,871,488,512,833,658,231,997,685,286,605,317,912,963,880,709,512,
787,171,666,803,754,550,902,350,831,461,683,972,000,996,804,419,998,549,662,
013,848,998,886,817,180,484,396,609,216,995,031,070,749,255,594,094,932,247,
162,216,616,946,257,408,743,888,349,106,691,523,651,563,544,528,330,220,664,
821,904,299,848,025,857,192,348,111,734,562,279,847,511,250,170,922,078,362,
929,070,902,595,321,903,787,072,076,833,024,373,736,345,874,514,439,050,382,
644,508,166,099,027,226,629,752,124,696,468,222,508,137,559,688,991,864,831,
385,345,726,054,732,234,261,201,668,886,374,648,583,606,007,323,719,433,011,
867,014,775,249,564,430,988,111,283,087,525,654,795,925,341,305,433,908,800,
886,919,901,476,020,961,644,616,582,566,823,941,820,117,083,444,816,466,418,
204,031,018,100,080,863,396,406,192,244,364,952,379,156,594,720,326,374,945,
053,652,327,142,492,347,806,948,671,668,669,655,016,372,678,904,183,102,182,
462,539,954,382,152,586,656,906,447,236,848,423,626,679,435,302,196,257,459,
846,046,069,891,483,759,475,477,116,179,751,096,636,727,796,916,605,748,532,
208,771,571,651,778,890,661,804,922,218,486,177,341,742,898,651,346,753,020,
145,626,654,155,304,680,110,155,148,868,940,496,575,829,625,424,540,480,197,
812,902,979,774,756,520,969,021,135,733,519,769,384,977,646,869,397,420,852,
257,509,559,812,034,820,505,570,001,201,104,582,612,878,546,179,772,509,120,
846,543,712,327,209,759,656,725,999,331,190,053,387,837,870,391,434,006,807,
710,021,156,627,759,886,962,332,972,346,491,057,227,808,408,610,843,779,728,
349,704,609,729,244,945,925,394,804,256,298,652,877,865,226,073,597,516,631,
521,890,054,039,447,186,985,792,875,650,463,041,540,500,878,190,509,639,555,
269,204,780,152,509,012,491,129,445,019,554,744,161,125,594,165,362,192,237,
304,288,311,853,013,043,686,615,739,129,202,055,102,776,066,182,410,107,057,
057,995,940,247,946,874,161,855,795,674,563,584,019,466,507,106,139,929,883,
048,337,502,682,562,100,877,007,700,952,836,285,790,954,324,562,360,270,240,
930,262,145,898,408,461,964,525,952,703,073,977,923,432,550,145,990,297,802,
264,660,783,607,910,061,293,445,706,248,053,308,427,252,700,628,336,431,025,
601,947,025,676,390,903,688,175,245,732,350,833,701,853,096,420,001,429,789,
267,797,801,170,149,820,514,400,711,155,853,407,873,801,425,150,440,950,803,
563,011,616,812,558,030,451,747,790,492,775,129,275,784,220,325,780,179,875,
221,058,277,851,063,409,926,976,979,468,820,708,029,688,422,383,691,927,267,
646,883,494,039,811,165,320,335,940,756,984,430,656,634,688,009,022,667,950,
129,049,435,159,827,882,802,508,861,070,734,733,499,124,006,788,177,099,390,
302,838,676,349,992,243,129,757,501,253,258,205,761,702,711,228,742,966,555,
141,034,565,226,829,582,630,796,477,782,204,010,227,022,722,542,695,832,640,
212,998,493,038,785,634,024,016,431,212,831,271,709,812,978,102,201,665,208,
843,723,739,006,510,172,439,155,232,168,759,704,624,473,602,292,645,364,735,
713,533,475,462,404,702,039,064,670,605,223,335,799,870,336,349,541,839,812,
939,696,072,299,162,785,884,163,354,158,532,817,445,117,516,272,609,749,798,
187,516,435,643,190,013,679,365,392,573,127,169,262,311,369,769,468,934,989,
151,927,072,999,515,142,445,673,350,832,886,419,823,122,719,950,182,698,576,
814,521,287,778,975,768,210,184,806,484,953,978,152,867,262,978,396,683,369,
170,684,825,612,427,051,760,840,631,995,474,574,675,746,730,288,973,386,553,
586,918,346,209,022,344,054,718,406,396,335,633,946,307,073,751,062,018,058,
893,247,607,414,843,803,177,114,419,673,999,093,267,535,855,017,514,464,451,
693,872,244,102,578,556,855,863,052,939,405,793,440,048,325,858,830,840,912,
885,244,009,166,001,880,700,524,741,770,610,033,014,779,493,694,229,107,705,
794,722,150,031,554,169,595,971,519,406,430,128,675,315,773,560,862,763,694,
689,815,549,334,443,963,024,179,632,262,469,848,308,890,971,492,408,885,930,
354,030,400,074,821,004,788,015,138,498,199,914,869,876,200,735,027,289,134,
390,714,170,098,851,696,164,105,173,532,226,177,679,665,019,776,391,454,885,
375,914,020,191,863,588,103,608,240,052,021,546,108,203,804,873,862,570,410,
904,709,837,017,474,087,502,358,857,599,476,828,455,954,606,082,092,738,807,
251,399,918,048,348,549,616,341,679,325,303,438,999,430,409,578,435,040,723,
081,892,518,067,151,337,662,222,893,540,712,772,805,795,061,714,937,640,745,
112,589,253,620,598,510,362,572,722,872,024,596,079,788,313,526,940,182,199,
808,441,714,030,326,544,278,959,726,210,185,557,929,045,146,591,592,887,365,
699,614,294,547,501,083,592,841,016,177,353,972,696,551,193,654,193,364,666,
606,942,335,719,756,545,976,754,169,143,776,251,211,355,016,565,582,479,169,
809,025,881,327,647,054,414,535,861,968,891,693,134,626,781,062,588,390,536,
628,695,932,960,891,519,213,951,028,481,720,584,707,526,646,792,055,689,744,
895,812,514,806,471,934,932,774,859,107,448,359,974,522,547,580,507,702,080,
099,414,547,077,841,501,258,813,260,755,336,995,787,807,270,777,090,113,075,
679,570,409,096,924,593,551,582,900,152,853,137,981,315,789,164,877,104,765,
806,260,813,461,979,452,329,810,230,527,649,349,926,514,447,395,695,756,572,
614,937,305,873,093,361,285,888,335,397,929,010,599,361,772,586,031,498,092,
564,202,318,294,547,190,358,062,836,167,841,898,687,413,635,818,691,305,973,
702,884,714,461,964,217,463,965,177,754,460,581,220,627,017,594,322,995,845,
735,292,988,040,649,457,937,874,179,357,737,842,553,779,716,994,556,569,396,
230,868,895,325,675,216,300,213,590,588,209,790,393,215,650,389,086,059,589,
431,395,280,127,220,237,809,337,345,551,775,037,657,818,503,850,793,859,259,
517,167,232,375,146,733,172,590,994,407,932,943,400,018,150,747,667,201,231,
288,780,820,809,519,282,069,064,152,664,411,387,157,116,331,236,188,613,991,
215,649,086,360,482,240,160,945,743,061,531,527,700,327,791,924,284,740,410,
547,227,494,579,599,236,095,196,150,080,486,548,412,815,218,094,724,258,869,
300,663,552,222,994,700,978,129,059,220,568,499,739,038,017,248,101,407,758,
303,665,621,672,316,898,123,525,161,279,407,350,752,210,140,900,356,526,628,
626,230,701,946,384,760,444,526,084,717,274,385,750,830,480,290,941,555,832,
661,848,724,258,120,313,920,236,134,857,339,748,864,724,607,926,566,214,960,
311,202,445,846,002,221,780,753,425,033,789,109,990,134,550,937,330,965,727,
928,622,255,891,218,404,556,266,121,831,118,174,432,944,427,461,453,128,651,
557,261,891,550,943,854,266,080,850,268,274,543,104,824,396,790,057,462,194,
261,095,396,962,372,643,350,851,000,716,936,186,761,033,083,985,963,940,619,
479,303,587,515,620,687,616,226,142,916,775,576,847,527,396,323,198,746,499,
313,222,938,624,330,048,251,001,221,071,069,145,813,699,903,146,448,155,972,
330,555,791,567,479,854,379,113,034,502,044,525,336,508,427,740,176,411,287,
978,110,031,821,475,529,468,596,078,197,352,659,121,316,302,594,516,653,861,
076,824,388,271,677,068,257,874,678,081,858,145,817,464,205,938,736,806,900,
719,308,031,375,365,712,109,067,849,783,810,099,786,393,189,416,655,832,915,
925,362,084,903,825,848,881,796,777,344,506,180,040,262,841,663,985,335,088,
972,574,894,359,435,286,259,297,829,231,723,911,014,971,033,318,856,983,211,
180,204,393,234,480,050,970,991,089,567,014,127,358,246,904,127,749,328,854,
172,002,874,349,363,434,399,084,775,040,367,015,226,181,372,666,370,266,366,
300,072,607,469,185,654,741,486,833,807,369,327,780,453,058,513,435,082,994,
169,554,338,061,060,722,569,262,708,164,465,425,150,349,288,495,396,267,131,
002,498,457,855,319,452,943,081,992,771,350,199,137,091,650,769,446,732,529,
169,062,941,345,736,733,679,199,735,853,289,560,520,594,662,385,640,747,367,
209,650,179,687,072,298,473,355,466,680,757,198,940,604,253,809,962,956,246,
906,449,074,518,714,739,927,948,351,757,814,539,395,683,765,797,501,706,771,
420,855,595,398,822,036,921,197,001,853,447,411,397,630,865,885,522,439,293,
668,722,558,278,023,772,977,840,578,021,272,954,333,309,991,603,504,619,100,
792,838,354,281,841,265,003,763,080,208,457,670,847,583,511,673,541,330,852,
305,058,224,275,059,578,001,674,581,662,329,944,641,105,126,747,401,690,258,
765,508,971,258,153,721,911,258,626,973,033,696,482,649,360,191,114,208,428,
712,759,846,730,922,178,809,724,613,155,716,180,859,097,478,921,331,681,032,
365,427,327,508,511,233,178,710,516,792,970,433,037,870,084,043,177,044,728,
948,796,472,242,928,867,685,689,822,436,222,485,222,193,969,686,216,018,632,
654,298,411,849,758,402,799,189,882,087,096,468,922,385,966,539,882,810,793,
047,093,401,907,830,302,195,403,853,251,915,114,750,849,544,550,729,469,875,
215,678,988,723,703,984,421,431,089,656,423,207,882,689,634,621,222,790,603,
522,704,940,709,813,134,135,995,051,773,249,290,349,110,842,242,065,664,713,
121,636,738,978,199,011,689,175,883,773,655,760,726,543,706,307,215,751,183,
567,083,230,824,052,913,788,922,391,645,287,797,891,730,152,430,851,349,231,
769,299,098,819,045,261,698,671,636,413,389,061,778,211,418,952,628,626,943,
353,288,477,298,315,500,487,709,996,269,107,474,465,576,685,119,694,370,213,
696,404,715,569,271,646,014,942,156,289,013,410,663,457,787,727,546,931,928,
356,205,224,564,498,522,449,187,472,753,047,783,571,165,882,516,686,472,285,
064,895,217,089,799,654,449,389,455,214,056,926,198,395,553,216,663,184,383,
150,797,476,368,361,647,533,349,732,830,843,679,747,216,895,250,394,296,625,
682,853,067,643,679,260,694,423,169,162,453,388,613,809,017,525,442,028,676,
931,376,771,088,218,173,434,027,426,034,240,529,997,552,719,029,299,753,534,
170,722,786,003,821,402,821,722,810,124,826,204,316,864,769,440,941,030,213,
770,154,201,810,911,752,687,788,964,868,438,156,883,765,886,832,269,600,365,
340,462,235,821,445,446,031,430,478,720,949,550,193,667,202,567,343,417,847,
576,596,102,170,691,241,025,524,763,569,758,391,435,572,123,605,194,278,788,
810,914,442,451,929,769,545,754,830,473,554,515,634,298,195,922,257,598,266,
161,364,800,120,074,712,804,287,455,674,943,580,923,138,758,669,348,781,776,
476,889,496,884,449,541,937,071,083,464,071,173,594,812,156,767,627,253,945,
365,980,448,522,927,148,638,364,199,452,052,227,012,014,418,993,281,087,615,
861,694,883,187,707,588,115,601,695,623,658,580,534,990,462,790,077,440,497,
166,666,204,535,302,693,287,023,108,050,385,214,581,986,401,257,627,901,513,
285,616,738,253,140,317,937,001,832,004,565,626,506,103,057,144,990,810,314,
298,971,192,902,608,358,080,850,815,897,460,990,580,692,248,227,877,423,494,
711,202,183,067,830,198,914,996,092,134,793,219,223,163,412,265,264,106,021,
806,279,886,568,388,888,507,575,813,230,761,795,964,640,356,836,824,236,341,
639,763,294,082,703,403,705,240,506,360,347,720,757,056,956,985,028,899,406,
748,736,413,288,596,278,263,949,059,580,781,528,774,244,561,915,513,710,000,
743,844,654,359,716,911,234,229,749,169,507,063,692,798,371,292,440,358,200,
347,251,767,681,324,060,149,934,533,440,798,840,027,358,795,232,195,786,368,
420,975,366,853,518,790,055,878,053,069,213,244,887,542,058,098,139,356,071,
356,923,335,366,312,620,304,235,644,979,944,276,690,947,927,722,605,331,170,
156,007,418,707,663,465,466,893,708,591,341,914,530,368,837,940,246,282,212,
015,275,508,149,273,162,747,178,743,086,925,948,962,775,187,858,046,204,006,
164,674,192,318,792,395,822,429,177,509,215,521,308,113,948,678,061,667,890,
862,411,321,443,189,755,678,692,015,375,331,211,220,052,407,486,089,403,692,
519,056,873,062,243,266,253,305,922,245,957,708,106,625,217,067,017,892,110,
717,402,518,940,335,494,120,663,571,252,545,660,761,486,136,736,183,374,659,
435,706,196,957,650,634,008,126,254,414,044,265,964,197,238,889,437,065,770,
631,944,738,440,187,328,536,983,105,500,921,649,030,149,025,538,076,125,589,
782,041,303,657,948,878,322,626,001,016,889,732,140,512,121,154,592,217,001,
510,502,858,943,820,261,759,746,788,155,977,699,280,926,661,519,900,435,183,
960,637,713,716,184,720,440,483,436,399,151,599,150,780,446,460,290,697,177,
170,663,311,248,130,190,494,352,605,649,145,573,026,724,841,879,422,876,923,
506,262,174,850,448,863,322,758,991,520,608,021,552,837,546,710,385,861,709,
367,071,269,353,141,280,082,056,936,159,779,981,557,323,099,807,721,510,071,
463,622,468,837,500,397,880,035,634,186,808,955,777,082,446,172,107,994,270,
594,028,413,277,458,775,787,505,993,114,645,362,135,414,178,253,594,636,681,
878,174,946,378,204,485,119,091,169,315,230,692,342,931,348,299,032,152,829,
094,139,649,184,213,778,472,276,018,039,362,953,536,784,253,754,655,636,623,
637,044,928,862,660,458,101,798,656,791,982,188,309,129,673,620,594,361,137,
506,824,701,061,917,857,890,302,503,638,501,319,824,884,749,147,038,336,412,
792,583,904,507,092,986,946,182,863,609,986,096,603,175,105,486,528,795,595,
009,408,569,409,030,277,351,618,029,400,728,781,320,211,834,045,438,149,786,
840,346,334,707,276,319,273,772,393,785,867,652,075,547,617,407,459,951,945,
276,838,723,099,032,793,079,165,392,069,726,445,020,667,046,328,487,582,683,
412,358,402,121,867,600,373,237,363,568,280,983,220,504,961,469,601,801,076,
619,128,029,209,990,098,700,651,456,524,841,415,595,892,172,654,260,815,891,
401,222,071,326,361,523,309,075,006,232,278,078,666,867,159,289,114,597,030,
245,368,046,054,824,096,569,862,545,816,376,031,349,311,848,202,349,607,742,
427,155,566,089,220,410,816,968,765,455,722,873,670,879,697,744,433,758,022,
541,712,313,598,323,744,801,691,294,967,831,484,272,666,162,852,087,535,528,
132,824,356,793,836,943,180,647,374,420,058,696,093,259,557,970,205,147,849,
380,833,176,068,581,937,550,392,341,467,925,401,876,514,381,316,238,422,322,
456,183,386,924,029,007,148,564,630,521,219,516,975,643,137,763,057,968,603,
424,831,921,095,616,446,185,031,331,846,031,135,972,159,928,351,298,098,854,
878,559,833,189,837,981,924,001,775,154,871,367,736,641,387,090,670,432,117,
757,955,204,056,161,143,525,057,141,607,299,252,779,308,348,952,895,872,134,
211,483,526,889,102,553,782,853,219,829,941,565,409,138,240,590,219,022,989,
523,746,015,571,481,570,904,239,997,402,208,981,370,295,366,406,123,304,912,
312,348,050,322,741,441,164,024,068,339,431,901,598,467,781,910,312,261,928,
455,726,950,725,474,117,880,550,065,784,705,620,456,951,914,466,179,080,868,
758,810,045,943,357,610,065,872,713,514,770,159,522,975,675,631,090,318,411,
621,562,487,294,914,086,905,599,278,972,383,862,623,114,473,834,627,899,392,
162,619,236,152,541,863,173,702,948,466,112,868,358,102,484,214,314,228,382,
498,026,427,615,133,384,956,107,451,909,638,934,271,871,168,514,251,584,801,
393,319,573,430,295,628,139,757,283,129,753,451,557,668,922,373,349,211,460,
016,926,190,285,666,814,864,589,618,647,069,274,512,996,726,074,179,506,883,
040,326,802,042,804,970,744,730,441,645,273,782,020,475,962,457,738,111,035,
116,925,369,698,625,996,022,814,027,091,740,226,072,105,394,106,609,395,244,
387,207,096,981,333,952,348,314,388,775,754,509,243,712,619,206,190,949,628,
854,147,863,433,793,103,753,872,946,174,778,851,402,855,783,513,003,692,869,
299,426,461,157,074,829,520,374,239,275,140,872,862,504,335,269,852,135,726,
100,835,072,930,961,160,231,327,740,520,862,110,135,101,152,239,187,689,920,
739,587,824,721,300,913,932,308,349,238,573,449,666,695,229,722,442,240,102,
839,500,000,898,980,578,854,100,763,940,791,987,838,400,311,462,803,382,620,
836,264,852,428,168,297,355,640,887,073,420,935,631,186,855,413,083,743,032,
529,495,300,311,386,077,135,789,927,901,858,525,743,480,858,862,019,287,027,
316,009,892,035,421,753,815,609,088,834,645,838,820,807,979,510,520,003,979,
052,256,588,391,278,029,115,410,209,843,411,525,025,481,822,783,290,369,245,
377,100,046,378,817,914,034,509,572,396,871,841,463,445,872,692,399,980,201,
686,493,117,242,827,900,641,085,656,461,325,508,335,681,766,215,938,963,968,
249,962,740,593,299,342,585,748,528,663,014,185,226,146,566,332,823,462,867,
019,013,060,163,414,321,937,155,432,925,660,772,572,942,111,170,450,669,558,
976,965,251,359,090,581,867,122,841,305,972,642,609,775,440,813,833,225,601,
357,060,498,921,664,690,561,755,857,624,780,160,911,389,003,925,386,297,217,
664,596,544,631,314,168,158,536,314,556,619,304,776,850,991,610,458,302,166,
732,920,995,184,312,118,110,560,280,099,590,605,666,466,158,248,259,087,688,
522,773,354,509,652,191,335,389,061,410,198,729,774,521,796,126,611,931,365,
399,551,196,450,664,379,012,817,982,911,366,097,262,420,471,333,442,469,230,
109,724,181,929,995,490,906,244,719,209,766,713,803,614,225,812,539,265,272,
894,191,757,137,162,087,940,381,471,230,576,308,892,351,591,730,129,081,422,
575,054,154,070,790,867,042,203,831,594,654,565,242,287,889,990,975,318,697,
388,732,165,288,294,539,125,964,780,040,156,421,381,430,271,134,320,060,089,
280,595,108,419,558,069,406,903,118,905,923,749,021,901,762,930,994,055,741,
696,787,673,221,673,818,220,560,496,030,152,277,960,333,445,199,833,427,115,
574,655,396,411,698,050,700,618,442,807,058,924,850,065,661,320,068,417,536,
357,449,391,701,582,367,149,806,026,877,331,552,972,761,620,035,146,035,711,
929,582,257,676,364,035,480,133,346,483,935,234,628,058,002,652,659,216,951,
724,941,665,839,337,907,810,186,330,808,443,473,689,310,205,866,987,361,337,
667,340,012,966,371,951,774,018,260,200,337,334,625,859,459,143,069,921,840,
474,198,209,462,114,645,594,831,199,492,410,078,447,017,646,368,551,319,116,
325,273,134,364,308,074,492,841,675,552,212,401,548,895,031,594,908,334,526,
649,238,968,573,107,604,090,208,839,144,013,177,360,387,304,570,909,233,101,
814,361,202,777,117,160,749,428,836,422,398,969,060,091,838,559,576,588,981,
562,337,218,449,135,676,564,189,851,686,201,331,957,305,512,243,303,413,120,
336,326,832,832,395,637,445,934,673,299,306,484,708,170,013,706,028,160,771,
578,377,998,020,770,712,002,054,985,268,195,885,637,569,818,397,416,851,813,
169,970,990,706,486,859,191,470,627,363,757,608,344,274,201,432,207,767,907,
191,128,132,011,721,081,707,506,925,445,117,920,673,882,737,911,106,286,961,
165,764,733,831,232,429,400,616,583,414,570,266,665,020,130,200,418,181,615,
698,192,739,075,565,082,208,605,316,074,616,850,269,827,278,137,848,132,368,
493,539,288,307,052,688,145,953,026,550,264,692,789,009,057,887,044,745,443,
690,544,186,093,124,633,111,462,090,229,173,517,028,430,661,481,944,438,044,
894,106,236,355,056,152,231,408,848,261,928,894,396,483,180,334,580,649,473,
097,470,712,283,581,727,641,343,466,150,666,477,603,432,135,065,226,340,025,
848,574,768,132,641,132,436,494,420,180,353,525,165,009,167,693,023,873,074,
070,622,914,990,303,871,557,218,727,955,007,528,708,551,306,272,140,012,504,
313,628,471,260,749,585,826,414,199,085,360,326,366,211,470,837,690,709,409,
410,839,777,059,772,685,975,260,880,110,208,902,162,607,554,454,700,144,987,
395,111,683,637,910,711,759,209,332,945,650,045,576,019,680,545,115,464,070,
629,667,695,110,785,394,763,309,264,313,068,503,326,521,071,245,186,958,356,
358,332,360,595,144,580,540,560,150,115,091,869,406,429,070,028,363,264,544,
677,498,480,842,261,701,529,841,208,356,446,695,132,550,526,987,408,697,662,
744,843,861,907,982,278,675,220,212,958,068,604,492,940,483,168,424,224,088,
077,699,489,374,502,487,732,313,137,492,968,769,664,163,555,830,013,076,908,
486,102,504,056,293,581,806,790,887,612,860,505,870,452,715,599,890,476,713,
369,866,572,963,783,971,865,035,041,440,136,387,924,867,083,104,971,677,215,
539,040,229,018,204,056,810,031,589,876,902,241,070,160,558,823,839,740,088,
715,637,606,595,916,444,966,443,140,957,711,491,536,564,947,463,874,097,697,
461,475,883,387,459,740,675,226,144,864,851,700,063,560,176,935,369,686,556,
957,171,400,751,967,396,912,154,107,241,384,788,796,895,236,586,941,855,043,
521,626,941,499,876,231,146,967,620,005,448,236,050,086,954,126,066,756,827,
151,019,636,419,006,347,644,263,597,525,555,594,662,928,506,097,497,660,749,
080,491,477,408,351,721,088,842,870,435,767,586,575,081,613,254,184,717,793,
598,120,140,933,534,705,448,496,043,246,470,746,431,495,749,439,949,712,330,
643,743,035,504,995,079,933,151,127,706,492,231,329,869,309,023,689,366,485,
527,196,039,861,662,949,691,524,252,374,330,045,160,412,826,851,041,675,273,
273,546,407,886,545,246,673,130,749,558,627,762,516,547,033,958,237,968,888,
887,160,586,104,700,263,827,727,397,380,041,275,873,840,941,901,208,016,602,
972,997,070,118,772,258,938,213,077,007,452,350,576,378,720,213,499,819,529,
835,709,948,191,367,752,892,038,076,455,957,139,116,510,675,698,893,991,956,
386,166,300,567,898,594,775,928,543,516,523,325,058,531,353,523,608,303,341,
542,772,882,085,599,142,497,381,281,115,840,177,791,262,490,525,861,963,757,
110,906,527,181,405,883,846,723,604,176,415,155,079,865,809,688,490,879,623,
562,883,400,887,471,499,888,996,941,722,418,819,681,228,004,964,394,121,075,
283,853,086,333,462,210,125,749,630,077,949,520,686,108,793,206,377,648,373,
686,489,761,863,888,416,396,875,006,254,579,704,339,601,422,504,462,513,867,
969,774,269,869,102,231,132,685,229,053,176,085,611,208,713,724,128,586,145,
259,156,943,624,003,658,588,869,272,995,040,698,775,641,309,534,611,859,013,
518,415,356,746,155,707,373,431,885,833,797,227,116,407,787,021,279,962,439,
810,321,361,318,330,469,489,523,434,567,982,350,548,006,316,501,158,986,868,
405,791,718,631,350,619,597,964,081,035,361,937,414,357,361,328,815,549,820,
389,543,281,769,479,569,442,008,622,746,294,916,560,094,473,800,237,962,369,
140,348,523,870,155,377,399,437,866,560,123,165,104,611,313,721,917,307,442,
151,281,088,878,329,631,742,042,153,987,913,243,886,792,457,413,103,301,836,
952,404,391,908,314,815,505,159,365,301,533,466,057,360,374,353,153,951,719,
977,548,652,218,371,834,023,749,792,526,662,906,289,816,702,314,922,821,654,
300,879,250,840,302,028,587,412,200,789,978,499,733,052,226,603,552,584,122,
121,970,017,197,686,429,730,353,502,679,953,239,420,800,725,603,685,312,289,
161,711,988,365,787,973,700,727,103,635,048,124,098,371,391,207,434,604,015,
027,079,522,474,483,941,813,849,776,150,987,286,731,197,842,687,981,141,986,
259,439,259,603,676,493,889,737,921,614,419,727,437,392,581,793,351,035,577,
798,496,106,757,421,476,692,742,382,460,657,566,206,449,929,959,728,823,099,
114,501,055,688,390,398,309,393,101,420,384,343,786,030,138,962,546,042,815,
233,840,688,866,723,499,700,601,759,908,920,508,127,711,237,318,988,657,333,
511,932,457,473,729,200,344,527,882,633,776,449,856,708,377,277,279,789,073,
927,050,882,144,208,212,606,651,037,569,093,003,294,371,176,241,290,407,983,
923,994,786,643,292,526,692,666,685,795,944,771,027,481,807,817,506,911,654,
522,692,313,972,946,051,033,949,439,401,999,418,476,348,207,071,212,646,979,
355,363,522,580,125,619,503,917,896,077,543,894,501,378,370,461,326,248,931,
383,085,330,034,002,611,969,017,406,647,264,760,863,181,773,881,119,149,596,
296,226,640,718,152,507,351,107,862,778,148,397,196,088,694,648,713,699,227,
145,489,386,542,009,388,535,869,093,237,516,306,226,921,786,878,415,736,929,
086,434,430,493,825,537,299,670,196,373,540,227,444,417,048,743,280,521,377,
444,874,206,894,571,176,244,711,601,926,830,963,306,226,977,284,478,551,681,
276,686,997,670,321,202,897,055,498,951,069,685,470,177,305,507,150,594,478,
100,071,069,362,893,173,437,423,366,825,618,685,405,086,938,074,820,291,794,
582,293,761,265,828,431,044,858,849,164,171,942,924,628,131,998,388,296,127,
702,479,557,971,027,183,917,070,112,787,766,610,733,675,547,738,412,951,618,
626,786,612,734,250,475,461,872,398,679,160,084,431,951,292,700,133,372,285,
330,996,321,445,739,667,999,158,885,663,602,794,651,142,009,309,982,925,236,
457,342,414,546,263,289,021,803,806,604,213,301,432,561,729,088,859,558,821,
709,151,347,215,194,229,907,783,925,337,194,808,688,550,092,546,743,652,350,
856,315,769,810,289,524,356,432,567,761,977,979,618,891,955,154,380,592,149,
137,191,622,878,671,312,401,679,797,379,108,553,322,168,046,889,007,249,551,
533,616,998,550,307,834,424,765,156,091,538,310,962,180,423,802,607,961,079,
965,918,140,088,396,157,100,186,363,666,122,840,482,169,119,570,760,067,369,
858,985,096,381,072,278,135,883,485,352,826,621,127,190,495,266,015,067,519,
167,288,726,822,304,233,701,255,527,111,912,991,834,160,748,163,934,290,553,
799,816,749,330,609,358,606,380,962,432,081,025,464,615,759,642,307,574,753,
780,434,557,137,637,900,546,920,530,869,401,757,407,081,168,721,042,451,770,
118,508,016,828,856,016,842,767,436,395,344,483,703,198,466,710,288,038,856,
145,432,916,889,883,262,219,658,984,255,463,651,301,821,830,459,774,678,221,
006,065,846,277,455,410,411,821,232,526,265,809,765,117,966,759,685,050,223,
041,018,605,671,724,091,525,249,852,325,194,476,789,421,020,033,379,456,417,
896,179,072,894,727,284,338,464,703,295,091,564,244,532,865,893,677,759,689,
469,981,955,688,915,020,717,136,671,590,583,141,418,309,089,312,447,821,011,
976,338,533,922,379,676,644,620,237,652,848,553,510,914,376,199,551,007,328,
524,765,163,229,476,842,563,665,804,538,487,535,415,022,043,063,061,989,917,
196,399,854,827,238,052,474,969,345,839,810,635,516,758,680,155,282,186,942,
644,622,921,123,026,660,554,462,873,102,340,180,473,749,684,442,000,273,528,
259,803,073,005,635,347,880,890,700,575,654,882,291,619,398,792,375,533,712,
759,982,680,386,326,483,976,368,635,528,496,315,513,331,929,789,180,984,613,
467,476,865,796,750,154,464,479,511,605,306,462,613,665,296,127,498,350,928,
025,946,539,186,093,148,891,406,377,786,714,523,110,237,832,931,823,332,330,
068,816,542,692,596,376,612,673,922,075,939,391,837,274,128,502,953,806,369,
692,892,169,664,597,230,452,494,927,121,959,999,271,034,625,548,067,014,010,
090,670,234,290,798,805,755,200,325,431,583,576,301,847,501,495,358,229,723,
708,291,466,342,915,470,061,559,919,495,368,943,171,239,979,227,707,849,905,
134,416,226,676,651,519,601,930,253,001,530,025,772,542,129,055,557,722,286,
111,713,059,669,515,586,638,796,670,443,048,198,424,028,126,758,659,974,963,
095,077,253,578,768,573,394,324,585,476,629,870,222,118,354,616,613,233,986,
723,703,032,980,699,118,041,218,674,753,405,830,545,340,096,868,344,653,006,
213,600,730,929,819,376,572,886,285,146,501,422,228,235,918,810,607,628,717,
254,260,627,878,603,690,459,122,192,970,981,218,864,108,642,404,651,820,228,
699,927,440,117,808,429,129,426,062,313,938,468,938,465,169,356,810,388,418,
212,968,282,022,515,186,618,847,557,658,257,957,892,395,301,668,588,862,345,
491,452,008,012,836,892,427,344,801,033,358,412,166,677,383,221,993,606,747,
719,441,260,164,883,794,357,293,804,117,411,808,717,443,959,571,488,641,841,
181,980,517,305,874,022,283,982,494,312,610,876,481,935,776,220,258,029,982,
426,463,692,228,466,424,753,140,497,101,539,123,149,111,763,451,930,479,878,
977,016,731,010,203,718,745,278,172,127,307,232,895,411,677,261,390,708,354,
598,880,357,802,160,636,847,134,758,704,754,435,521,680,602,893,583,629,095,
652,873,409,136,512,649,353,739,059,794,708,271,594,090,683,695,000,325,505,
718,308,232,992,883,929,585,964,162,075,180,901,459,969,834,470,112,627,934,
688,098,360,595,951,202,947,027,837,924,666,531,176,194,789,590,569,233,701,
664,768,818,476,713,124,461,129,421,494,446,585,282,935,207,677,230,666,691,
355,837,726,138,672,397,726,436,044,077,474,132,291,217,501,866,657,525,888,
979,719,773,731,687,624,635,012,448,597,330,479,936,222,400,053,038,621,719,
144,334,101,029,517,490,912,777,997,895,400,409,494,216,630,467,496,443,219,
856,465,386,585,774,383,125,100,274,712,930,607,416,879,980,677,358,927,817,
479,699,478,615,916,072,908,400,475,897,856,517,695,990,671,273,793,814,591,
390,737,284,641,435,428,166,506,896,238,216,141,062,842,806,715,917,896,329,
513,868,850,143,557,005,976,280,205,120,237,016,687,418,675,476,056,895,493,
789,181,141,820,688,929,159,738,092,717,278,263,115,198,829,811,324,782,346,
272,788,786,446,283,443,331,316,514,999,271,560,540,648,753,576,839,797,866,
465,283,888,276,338,023,644,542,981,592,018,901,192,186,822,171,823,990,779,
870,730,079,304,485,319,596,595,467,118,880,621,157,965,679,347,581,686,583,
564,037,820,230,200,080,582,828,809,477,163,063,003,899,024,490,266,839,395,
258,964,639,152,194,087,303,224,870,060,698,126,330,833,777,137,889,432,511,
129,686,221,323,806,665,732,746,847,440,815,080,070,847,352,944,495,707,025,
642,826,933,600,281,610,699,924,641,488,338,338,500,293,938,245,637,473,600,
760,591,008,475,061,406,721,811,742,458,819,518,307,349,510,810,998,518,870,
175,179,532,159,026,485,369,286,849,204,429,757,936,701,860,232,846,398,250,
335,697,697,607,162,007,629,846,476,798,338,820,008,113,170,120,141,006,624,
064,010,510,413,541,507,234,653,994,195,920,259,153,540,430,649,440,379,932,
930,763,722,374,083,589,019,564,704,944,490,013,191,777,423,977,467,526,548,
066,142,602,767,382,007,659,954,426,674,874,523,475,523,765,699,547,585,459,
599,250,271,612,259,160,573,387,453,248,881,447,748,933,638,633,952,058,977,
748,168,088,104,802,127,771,923,225,418,666,600,256,187,668,434,604,129,259,
249,217,058,055,655,627,130,438,765,675,453,715,007,616,924,317,897,941,564,
437,392,441,529,368,338,400,987,996,287,705,657,431,399,465,160,212,479,909,
683,613,741,851,027,967,725,035,912,476,292,422,900,134,691,829,969,337,795,
970,459,263,348,120,504,338,396,243,975,219,572,784,212,378,481,050,916,028,
491,413,005,564,902,954,748,572,215,299,693,038,617,966,636,148,384,766,856,
005,704,052,548,260,859,869,156,354,804,044,661,315,958,899,821,567,869,328,
922,829,517,357,118,971,864,765,933,292,523,014,113,917,532,177,891,524,714,
292,529,081,091,397,080,158,094,709,289,053,322,526,363,662,120,712,517,199,
314,711,030,051,206,853,410,519,857,012,740,879,860,639,170,755,123,447,049,
889,816,308,657,800,143,850,378,409,725,611,248,187,111,473,425,335,858,840,
608,197,693,998,995,306,607,541,850,306,087,005,497,681,471,705,739,996,017,
716,557,049,896,120,282,900,687,041,077,931,908,864,006,879,035,065,127,287,
779,811,279,798,054,189,062,025,781,275,500,976,288,836,669,825,491,512,197,
710,034,535,554,231,856,944,035,583,575,671,250,028,204,804,604,974,232,571,
175,254,898,677,298,628,426,645,956,016,340,460,715,902,925,180,372,088,811,
069,819,612,652,739,086,376,302,173,908,419,256,850,773,166,483,808,009,842,
879,690,713,159,717,050,753,751,180,375,919,475,109,538,845,952,961,588,763,
017,705,265,419,876,639,725,136,822,395,336,654,842,473,560,946,362,829,304,
665,889,372,509,710,975,106,912,790,922,550,657,700,952,737,924,310,086,596,
363,079,242,235,075,497,311,395,156,095,332,784,457,610,103,820,344,964,660,
571,644,860,168,796,457,974,685,353,041,413,699,411,563,969,618,474,636,289,
118,030,200,988,369,485,741,414,504,233,936,253,576,655,763,600,466,374,539,
500,942,439,782,819,234,840,832,143,931,514,630,362,001,704,024,914,299,770,
221,871,672,051,156,273,774,433,978,801,722,074,223,542,442,803,067,102,226,
839,556,999,849,907,989,284,752,805,764,919,153,842,018,753,627,867,025,367,
261,848,452,696,910,599,301,990,971,194,105,522,165,488,987,589,144,021,702,
665,726,224,391,176,040,331,113,496,509,381,875,153,515,023,367,888,295,115,
539,747,772,745,127,148,364,587,766,403,098,114,616,378,768,775,459,477,405,
103,046,538,417,486,842,037,314,013,194,317,667,222,511,451,073,316,761,992,
907,260,018,375,113,377,326,928,414,906,982,700,235,193,219,326,761,067,084,
327,456,702,597,756,770,783,102,482,578,935,311,664,558,256,353,450,620,111,
032,104,975,611,799,430,508,237,925,785,673,642,912,762,424,597,469,054,818,
000,925,896,080,820,116,595,658,524,706,054,195,093,191,896,343,950,456,575,
281,452,847,072,320,637,569,578,009,570,702,624,987,313,754,799,861,431,614,
322,918,143,781,316,052,269,934,133,556,081,772,228,317,932,755,117,597,641,
222,376,218,301,153,815,492,689,612,965,889,993,795,284,879,752,814,165,504,
774,451,875,628,202,965,866,233,010,687,069,780,909,966,380,760,126,514,539,
394,980,136,332,401,537,011,231,246,086,166,801,548,775,461,000,959,195,684,
429,534,997,228,751,386,506,502,174,572,773,827,817,248,832,857,753,268,400,
341,298,754,972,980,461,709,586,008,113,312,986,960,439,227,481,317,543,677,
694,563,669,474,139,424,841,763,815,807,674,133,601,605,235,604,882,244,958,
663,806,102,132,140,589,632,770,148,869,788,692,241,341,111,884,568,375,248,
785,197,777,277,249,443,477,490,807,129,046,046,186,485,351,848,731,708,143,
601,038,384,323,058,285,300,664,758,577,500,574,402,672,827,265,840,346,176,
857,296,195,666,709,761,984,893,071,628,169,895,059,908,870,189,342,192,390,
291,815,447,588,594,450,407,669,847,660,637,122,313,439,245,141,053,184,124,
907,837,470,990,470,725,192,367,407,595,943,392,995,113,765,600,234,990,536,
189,549,600,430,628,581,524,703,066,937,888,687,667,647,114,060,367,918,196,
577,932,635,038,694,851,522,875,975,744,675,899,918,332,661,106,891,181,513,
684,070,828,185,091,878,322,524,826,896,713,267,284,715,431,161,999,200,934,
273,322,976,686,802,252,478,370,265,202,539,460,737,775,474,860,611,153,107,
809,957,534,641,149,809,418,585,700,112,432,913,096,720,914,163,117,440,920,
649,515,511,339,749,307,945,547,121,524,305,289,002,497,796,375,203,698,303,
305,254,126,453,030,629,437,413,410,689,150,210,157,935,466,986,195,496,563,
188,988,021,734,129,466,365,811,732,060,853,248,825,666,262,130,858,094,241,
774,212,548,230,125,197,557,138,003,230,577,041,192,166,115,074,293,678,310,
557,336,987,295,629,317,523,064,455,892,952,945,424,193,098,899,313,674,740,
234,588,296,339,344,887,989,828,177,710,804,544,626,327,252,842,238,319,550,
830,872,173,650,202,489,703,755,577,382,930,528,391,033,477,588,453,477,774,
485,619,412,001,699,202,672,314,741,771,343,623,812,715,467,725,661,534,907,
870,375,366,236,736,067,876,357,475,732,681,567,923,248,354,473,746,183,380,
101,531,783,954,387,800,996,103,460,191,019,253,603,800,816,399,989,240,531,
137,371,000,673,193,651,476,525,214,989,720,822,714,978,205,612,383,101,183,
486,461,385,887,836,069,151,542,354,024,408,364,070,329,792,889,484,886,538,
058,041,227,999,586,827,663,691,145,506,895,659,412,526,554,364,840,688,754,
028,563,286,876,021,269,264,056,212,286,091,189,731,177,815,109,994,176,037,
086,944,948,691,748,402,641,709,651,119,043,109,324,738,613,705,955,563,167,
650,205,581,001,438,633,012,466,090,540,076,620,035,288,365,265,620,030,746,
909,834,880,964,417,823,663,746,672,518,462,787,966,726,168,356,799,953,747,
876,730,942,060,180,981,636,928,271,894,425,040,439,943,311,884,464,982,588,
508,927,007,587,210,084,204,750,326,306,583,408,067,678,840,177,542,866,817,
506,367,819,927,190,404,942,904,689,417,979,746,096,522,128,490,940,017,495,
687,922,623,988,256,695,792,001,070,250,331,661,408,096,729,843,193,223,624,
309,855,531,366,274,589,161,509,245,905,563,274,665,723,913,928,419,271,528,
955,656,567,449,245,978,266,853,740,444,566,147,608,238,127,704,545,893,808,
018,528,760,657,083,457,472,463,448,042,191,349,228,845,178,102,322,859,063,
261,628,955,015,435,701,584,777,866,050,273,990,342,572,554,863,458,206,234,
760,741,387,113,919,004,473,302,307,254,757,255,758,715,966,895,153,895,787,
689,199,596,737,257,691,733,612,953,790,098,788,005,405,210,297,340,122,008,
003,253,035,481,012,840,524,223,753,668,408,529,510,884,873,651,027,624,894,
487,432,660,523,662,829,366,343,897,795,753,070,796,277,223,494,803,705,156,
620,041,309,041,119,484,404,256,285,346,147,015,283,514,923,825,983,236,030,
482,144,053,311,373,448,137,057,037,711,852,296,003,562,137,882,827,455,556,
664,413,579,693,898,097,489,071,716,421,278,170,710,881,336,086,987,523,359,
610,272,601,499,409,260,211,774,681,433,601,541,793,366,189,474,843,112,016,
657,749,500,791,380,047,903,893,415,028,413,821,817,451,266,052,640,898,718,
482,554,547,253,247,101,710,615,423,503,217,806,062,345,819,816,472,481,094,
887,134,818,059,194,112,306,354,204,788,627,225,114,098,816,618,424,304,202,
831,863,552,130,380,959,000,068,278,446,847,347,991,767,146,228,070,712,681,
806,236,644,024,696,030,145,107,737,987,762,977,488,648,702,158,690,786,094,
354,554,806,712,146,568,253,444,535,258,488,706,345,417,903,623,859,869,734,
698,320,180,686,821,541,543,922,542,848,466,986,776,583,120,722,359,509,263,
896,803,361,046,232,670,922,983,808,394,709,327,520,235,224,710,882,088,127,
120,821,178,589,063,183,486,780,098,942,775,994,648,977,705,058,742,733,101,
116,784,539,510,339,796,149,580,614,667,984,552,602,698,390,786,469,074,269,
870,338,088,516,482,458,096,281,789,630,999,617,687,386,138,911,202,920,971,
093,762,647,557,212,724,984,232,973,316,205,485,650,609,528,395,914,629,810,
649,252,875,555,727,110,899,880,990,654,654,361,810,414,933,973,975,746,593,
159,300,774,914,530,057,702,167,300,052,130,705,483,944,405,848,992,873,519,
300,798,360,768,532,098,493,543,002,075,664,634,757,689,355,538,028,492,564,
249,123,352,265,506,073,799,673,285,868,813,300,817,966,839,953,080,062,655,
526,848,724,273,478,438,056,722,926,740,561,266,787,748,795,374,218,552,658,
019,316,805,115,067,727,424,875,134,746,479,543,336,076,071,373,937,338,827,
170,012,349,390,033,591,885,714,397,954,454,825,569,355,026,315,188,741,301,
021,580,199,120,491,417,620,918,155,269,652,057,246,513,067,529,208,297,051,
388,977,884,460,427,342,935,638,286,526,203,994,896,276,299,331,847,766,218,
334,455,314,782,873,377,157,363,154,996,349,629,042,757,659,062,227,138,263,
186,987,734,738,945,362,732,666,509,828,667,616,978,360,883,660,225,351,367,
621,980,595,885,286,421,745,273,368,833,621,338,117,904,013,136,771,758,141,
058,439,736,527,550,804,741,405,555,054,182,400,443,669,328,619,046,486,639,
775,785,358,355,847,623,601,152,011,244,124,495,165,493,350,320,285,519,411,
669,263,219,191,989,463,280,726,483,081,485,620,466,805,224,809,469,615,721,
102,266,966,729,552,198,803,929,456,786,486,291,978,895,524,188,624,533,386,
212,774,352,306,923,101,071,447,600,184,852,634,329,657,384,727,510,900,629,
561,584,680,599,269,655,533,026,525,179,493,692,357,922,316,102,457,706,288,
355,077,412,322,890,338,619,265,909,047,266,416,938,835,874,021,764,529,298,
648,694,764,347,025,512,896,221,197,617,112,761,144,292,218,824,329,482,693,
855,485,156,644,540,702,184,369,188,297,349,677,578,288,530,544,775,865,930,
865,090,956,359,000,056,975,437,810,320,383,882,459,935,899,152,224,045,581,
133,087,313,603,434,493,461,379,482,978,466,806,100,101,964,990,512,088,676,
277,021,208,846,482,357,443,999,394,364,699,726,296,216,202,322,043,082,615,
996,936,094,076,768,389,484,389,730,165,291,340,596,531,902,737,355,816,480,
698,939,825,038,700,545,009,213,461,625,542,648,400,640,117,424,655,922,422,
461,592,250,186,601,587,295,966,095,547,479,400,681,013,683,524,911,530,744,
070,644,002,621,010,149,043,674,270,619,154,105,417,040,867,337,111,110,710,
338,741,207,309,976,972,190,735,330,025,227,488,200,364,655,397,264,874,595,
027,382,383,565,345,942,447,230,285,665,339,575,900,069,550,306,069,024,142,
899,959,933,624,751,899,539,004,772,332,117,707,948,243,580,259,884,650,721,
143,866,529,656,282,991,216,742,224,459,603,615,754,624,935,989,964,407,239,
979,138,688,114,330,424,258,187,312,681,011,929,324,128,976,516,931,499,918,
445,478,124,240,645,062,111,336,493,662,368,805,623,306,799,819,452,700,707,
404,886,448,446,181,602,465,799,054,335,410,431,078,250,665,676,974,927,110,
967,804,757,967,912,220,526,660,395,501,285,229,646,728,253,954,024,677,427,
458,847,399,064,242,921,409,883,047,811,284,015,128,487,972,348,522,227,008,
345,484,155,686,505,230,097,863,386,972,190,078,384,860,956,471,866,147,174,
703,076,156,517,788,726,358,197,078,640,746,986,253,158,079,763,363,111,784,
656,634,949,862,218,057,269,672,458,064,826,757,123,498,625,903,900,854,394,
548,538,794,851,865,420,966,752,591,072,550,801,151,364,582,903,039,898,133,
131,706,799,681,856,751,556,637,704,582,094,523,054,971,877,802,183,493,858,
237,168,421,268,706,983,883,566,850,462,169,510,701,575,589,082,621,629,698,
308,729,179,742,583,224,617,041,072,050,019,473,821,719,449,015,307,912,301,
346,861,312,601,602,720,291,163,060,820,500,572,442,880,991,760,109,055,939,
276,744,483,547,056,616,274,092,275,041,612,263,803,721,709,643,872,323,191,
557,306,597,936,369,250,028,385,262,100,305,010,983,332,693,313,486,658,879,
773,972,354,229,307,401,843,867,552,062,464,131,179,678,708,930,150,181,952,
711,337,462,705,601,745,388,676,390,182,689,341,177,352,478,764,854,044,145,
188,488,362,672,550,941,861,410,953,287,899,954,325,247,579,677,573,487,008,
481,029,530,648,805,157,688,069,664,910,085,514,612,278,908,657,515,114,043,
520,547,240,806,959,439,232,141,260,290,438,184,184,134,119,655,180,709,942,
913,790,470,979,904,662,631,340,928,368,236,215,199,410,492,888,062,849,839,
831,890,385,429,152,475,907,300,399,271,795,626,727,716,781,822,853,327,815,
739,923,838,521,710,984,040,410,970,406,378,962,058,589,848,463,536,550,103,
650,642,020,476,476,095,746,215,778,467,938,914,687,984,899,751,919,098,490,
833,380,431,271,099,716,679,185,104,622,908,705,885,947,426,692,092,055,469,
312,169,642,159,565,389,558,028,339,639,641,591,767,324,688,521,951,209,030,
300,766,227,034,063,955,255,424,482,667,720,617,080,886,873,507,428,143,926,
570,660,119,761,088,163,333,715,675,356,708,356,758,556,037,665,119,346,808,
238,487,002,403,744,574,296,509,713,005,825,740,066,042,909,249,884,122,454,
332,777,044,437,623,094,134,926,886,281,779,174,809,628,217,735,080,810,871,
881,870,367,195,594,980,467,530,349,236,330,975,196,901,684,267,566,552,639,
394,359,771,748,900,543,558,302,453,502,673,996,409,565,109,497,207,179,846,
292,280,374,943,580,693,726,565,900,975,634,603,643,004,236,704,370,629,721,
508,939,781,083,193,789,309,338,676,225,366,560,759,511,167,925,121,443,321,
181,737,725,329,191,324,381,685,853,488,368,326,088,038,272,872,355,662,771,
216,353,569,998,750,851,824,965,792,935,944,906,247,527,954,314,856,622,437,
421,796,663,587,524,324,307,687,904,228,399,744,434,551,067,956,929,183,526,
210,461,709,559,939,307,087,650,735,682,662,193,062,880,810,948,895,106,704,
660,758,832,485,447,504,280,325,931,020,377,187,552,829,748,460,445,430,871,
559,914,130,615,333,769,338,837,667,855,905,197,878,987,401,755,134,614,831,
760,018,201,924,967,440,260,254,605,075,351,132,498,973,406,007,425,455,230,
624,874,298,672,671,439,447,307,886,200,957,276,366,692,315,042,910,077,871,
951,375,507,822,696,535,911,514,084,927,030,399,266,779,976,800,608,595,710,
391,590,864,598,481,117,683,198,956,529,149,509,139,422,931,673,140,463,152,
969,813,041,048,018,067,569,730,013,332,122,100,410,278,516,750,446,836,394,
975,876,530,450,557,485,432,757,123,996,441,045,039,610,304,418,438,750,736,
001,515,031,153,910,566,397,782,035,815,636,573,747,132,401,480,640,840,492,
416,960,303,141,261,821,975,431,888,941,166,464,384,382,063,796,493,543,772,
658,509,586,117,064,865,504,711,120,905,203,973,254,518,334,058,451,782,393,
073,024,216,297,834,446,785,526,504,035,582,917,545,199,276,824,860,428,850,
423,668,034,876,030,066,103,245,478,270,884,757,425,669,399,211,077,109,342,
915,460,617,104,619,410,588,782,996,103,886,984,785,050,210,521,013,695,610,
550,802,675,625,168,986,445,459,779,570,758,260,330,867,321,105,870,675,490,
940,496,742,687,054,629,199,445,876,306,114,098,136,894,622,171,273,868,198,
978,640,565,184,938,156,877,324,835,827,443,950,435,892,311,245,408,407,975,
885,422,090,651,855,099,409,132,585,440,857,110,677,165,546,092,807,087,329,
505,129,072,454,112,095,671,421,448,878,645,538,154,287,310,461,233,987,338,
264,001,451,510,210,941,725,971,562,562,802,060,591,058,250,508,390,409,971,
336,014,256,850,089,973,490,367,332,323,401,106,087,576,129,598,335,620,910,
177,416,527,892,088,084,289,997,346,337,799,951,780,315,759,265,467,417,693,
842,739,720,249,962,492,622,702,690,727,986,558,612,878,651,500,435,492,439,
017,958,054,331,127,290,692,732,298,324,289,051,685,917,699,375,272,279,225,
160,514,784,290,628,160,133,534,809,997,648,236,193,280,845,387,598,442,738,
792,678,998,468,361,867,695,571,750,892,773,973,248,099,267,578,066,877,804,
874,098,350,984,011,979,668,937,825,994,493,894,463,857,292,198,897,104,340,
849,955,693,235,056,231,293,919,693,124,102,727,642,136,348,514,154,017,824,
384,973,209,140,707,051,561,745,000,389,860,502,761,394,413,401,125,687,304,
309,068,544,805,782,911,191,747,930,338,974,713,598,799,254,525,537,441,262,
614,489,873,757,060,645,176,477,178,864,989,341,467,566,603,162,254,691,008,
833,541,057,479,557,857,252,390,426,651,800,962,744,139,214,162,229,378,544,
523,395,539,698,147,216,727,031,104,786,536,440,676,769,317,586,131,133,017,
816,632,170,230,627,376,187,247,220,407,048,178,921,721,325,395,130,000,567,
243,996,707,733,457,338,912,247,290,736,007,877,550,484,087,446,865,962,544,
899,882,233,723,606,497,543,603,323,691,762,353,754,646,575,202,448,929,119,
776,827,827,844,525,043,630,939,876,777,198,911,661,205,577,624,798,544,634,
154,656,824,746,621,251,543,327,773,168,388,815,764,645,038,563,176,019,213,
822,178,089,241,875,766,519,428,666,896,901,746,082,792,621,628,062,179,487,
542,222,058,204,607,616,103,900,947,091,593,833,645,763,405,671,919,885,350,
335,521,000,697,453,968,831,726,869,131,288,923,958,257,987,827,771,618,596,
536,949,943,420,548,944,445,329,872,875,262,955,702,828,031,744,671,608,007,
625,134,610,278,769,325,801,737,396,664,635,593,301,553,281,878,297,974,061,
197,843,279,155,715,143,685,030,053,037,480,757,557,829,057,152,472,646,034,
856,706,800,838,085,472,784,607,113,939,518,870,101,282,282,254,349,140,074,
627,612,302,674,521,304,843,217,252,218,944,150,313,311,064,499,763,539,112,
158,428,283,653,878,517,671,563,872,053,303,172,469,259,124,927,249,660,774,
816,640,396,539,659,736,746,431,940,123,759,367,891,535,886,008,343,796,548,
139,783,804,754,224,056,869,299,177,085,059,622,096,005,535,246,282,191,142,
283,022,901,475,565,903,957,883,191,876,853,712,619,135,457,364,117,051,607,
143,532,089,977,778,681,118,122,075,183,125,578,474,987,477,383,126,054,312,
877,553,012,947,642,712,076,940,115,296,160,259,728,412,532,192,560,583,314,
797,729,953,526,178,622,432,098,585,929,697,433,825,081,286,411,621,505,777,
495,524,053,836,516,793,567,095,283,143,377,413,487,688,692,385,752,710,905,
319,345,198,930,289,274,872,981,870,055,099,728,807,614,387,366,972,898,002,
284,643,280,403,986,920,593,791,884,577,519,299,857,716,353,483,647,486,765,
866,603,440,114,080,975,817,442,586,944,259,597,234,475,527,486,830,913,891,
070,094,876,193,469,266,007,088,987,333,383,499,640,983,533,342,547,136,532,
507,500,251,889,005,689,149,580,136,648,037,052,047,400,346,411,355,808,842,
402,192,520,657,803,215,657,059,887,934,424,867,185,864,271,705,213,933,856,
297,934,052,005,997,010,576,678,211,699,068,559,871,773,446,213,573,830,555,
468,031,305,701,670,442,109,457,776,413,852,857,783,556,622,671,853,746,638,
899,149,955,115,863,965,277,540,723,445,817,669,795,734,730,301,272,975,705,
930,097,218,942,707,244,872,167,493,617,949,281,560,540,519,027,854,840,589,
492,286,826,428,572,575,260,015,433,392,669,650,209,886,779,223,414,650,727,
188,712,083,384,531,792,583,160,032,300,127,099,752,117,798,827,865,173,687,
472,097,370,691,271,737,459,236,553,159,890,035,489,345,996,126,455,018,749,
483,502,130,360,862,272,041,257,993,419,764,522,023,931,938,311,536,532,012,
067,783,138,212,728,154,861,304,243,961,043,544,458,275,325,195,328,592,829,
858,131,864,022,189,019,896,013,903,461,594,052,870,084,404,873,997,985,690,
483,986,522,060,991,308,903,952,001,599,234,131,554,659,170,278,077,529,552,
438,140,560,274,844,246,102,017,026,770,588,426,451,205,809,633,832,340,662,
801,197,307,372,660,980,195,939,421,940,197,995,970,449,652,631,442,312,591,
146,681,775,485,758,772,771,544,540,329,630,225,462,562,182,919,368,915,771,
546,982,079,766,242,184,165,141,400,122,393,078,350,598,618,735,174,118,254,
900,260,090,891,192,879,113,392,864,934,379,614,953,883,519,438,784,362,683,
487,486,134,318,868,420,445,898,490,945,040,058,759,802,530,666,602,236,735,
270,566,002,174,452,365,071,038,843,693,867,956,879,296,654,739,691,847,931,
582,987,827,324,257,118,427,545,949,981,778,276,244,709,383,970,948,077,503,
698,414,361,816,973,558,124,932,548,885,161,070,303,779,067,924,933,748,519,
610,805,733,878,952,773,475,315,486,591,420,912,686,117,008,998,297,655,167,
994,711,945,754,966,139,128,661,052,938,477,926,803,057,374,081,031,228,135,
262,641,920,022,405,080,553,364,791,525,972,521,538,831,750,635,411,605,683,
290,412,577,608,082,517,659,864,814,736,879,797,883,091,459,187,441,956,621,
421,583,361,304,784,885,633,550,703,284,771,489,684,709,024,847,306,513,033,
202,388,591,922,000,501,496,115,841,520,677,110,594,813,809,289,808,844,765,
529,382,235,998,434,866,222,153,669,263,951,513,268,939,082,152,733,517,855,
996,477,535,537,201,037,441,747,559,919,622,344,757,771,448,168,287,927,334,
968,558,709,143,688,032,171,133,769,753,925,863,463,664,394,091,451,282,536,
517,510,822,766,977,782,340,312,643,653,636,274,862,818,970,080,761,598,301,
916,817,984,091,653,035,145,386,419,197,433,169,967,708,776,651,326,735,388,
946,000,627,565,325,415,311,843,619,311,749,403,970,682,144,731,165,424,916,
212,613,171,649,843,241,649,806,556,721,776,197,779,912,653,880,553,180,373,
335,568,134,485,564,233,971,352,484,570,241,029,840,434,632,048,160,322,076,
413,956,078,356,654,944,901,396,107,676,298,702,349,255,675,657,011,486,506,
040,467,405,489,522,691,858,487,949,577,849,783,315,477,215,749,339,323,791,
970,487,693,581,895,807,135,514,666,297,877,907,252,246,695,702,766,696,357,
225,275,545,237,775,460,561,117,080,632,399,033,341,761,036,909,044,002,963,
438,131,420,504,146,849,778,211,463,407,230,823,396,747,731,571,988,255,379,
453,224,842,410,969,343,007,330,074,039,496,460,699,462,556,897,473,033,160,
869,417,043,317,972,713,266,516,634,377,183,171,589,429,156,225,891,830,762,
718,920,380,519,151,749,518,670,845,551,422,616,048,494,923,380,675,924,539,
526,742,819,641,300,546,908,629,242,016,862,643,429,292,988,455,204,522,708,
405,723,679,338,737,342,519,400,806,176,011,428,867,461,818,253,389,514,487,
122,563,010,911,463,024,212,331,725,636,520,052,744,849,352,322,244,830,877,
041,934,662,414,891,377,582,848,151,302,275,299,131,069,100,571,142,280,536,
099,636,625,346,154,783,285,472,435,275,496,236,422,340,324,265,465,485,273,
654,470,735,393,279,155,310,660,783,174,072,409,258,736,434,008,386,454,731,
263,668,301,210,390,501,299,954,584,343,938,875,510,043,185,770,027,419,753,
960,673,732,272,690,880,081,578,732,703,476,225,918,768,490,913,211,717,595,
199,327,052,688,092,386,120,106,491,590,937,289,569,699,342,976,573,949,697,
985,397,058,342,293,501,099,860,271,994,202,990,862,659,241,277,656,102,866,
244,849,816,340,316,344,348,212,564,151,255,460,433,315,373,619,892,025,180,
084,901,699,798,020,633,063,100,771,795,085,207,921,670,848,044,283,249,056,
672,798,873,652,262,611,379,144,397,813,028,185,520,927,422,070,633,992,356,
729,732,609,437,822,258,963,466,984,284,770,879,965,418,529,030,825,938,856,
608,345,017,968,311,174,891,841,282,766,368,610,044,256,961,884,653,574,404,
281,296,546,689,726,180,631,281,816,473,074,626,722,748,303,730,899,234,887,
999,187,063,067,561,998,876,424,770,155,670,275,560,462,216,282,203,906,618,
550,633,273,107,087,718,064,066,833,277,328,930,530,677,408,741,384,205,933,
858,333,023,936,223,405,672,701,850,685,648,941,736,482,788,505,065,928,633,
731,664,395,628,794,209,523,297,732,747,969,021,365,343,178,892,500,146,089,
501,476,425,395,095,999,624,981,049,509,865,272,245,356,714,101,806,117,786,
536,455,639,041,924,996,669,174,405,935,514,035,062,196,405,999,196,473,966,
992,628,278,997,643,891,365,112,945,126,798,190,474,923,826,885,253,860,396,
750,537,324,281,439,603,292,194,157,063,681,046,085,069,689,945,981,835,639,
219,032,734,505,946,064,880,184,949,787,676,951,881,200,569,183,749,556,472,
745,486,854,886,515,791,245,123,250,883,788,128,643,907,286,127,092,507,657,
133,681,750,980,229,754,091,229,170,411,038,537,103,261,217,399,946,335,261,
368,555,043,582,564,376,444,665,580,036,001,885,360,887,966,128,677,107,883,
941,349,942,694,676,844,164,012,018,819,511,005,910,163,875,086,693,456,970,
494,960,929,784,445,623,636,179,281,193,965,775,456,595,948,459,471,940,081,
116,522,592,277,612,375,528,655,688,179,342,706,949,065,274,516,403,264,271,
280,675,324,167,280,928,387,153,869,937,743,602,273,093,528,771,798,167,084,
963,233,630,290,987,622,006,316,928,933,651,967,893,640,584,414,053,305,176,
824,832,745,275,267,749,228,536,725,738,955,980,493,456,662,001,901,360,481,
526,820,502,294,895,317,354,674,975,829,412,162,760,805,375,455,143,840,914,
226,508,269,149,717,272,504,432,607,319,854,044,077,761,889,691,053,912,017,
253,296,876,317,184,327,964,561,139,211,788,145,830,049,518,251,495,841,175,
974,478,849,331,428,472,348,684,424,356,431,941,670,594,259,314,341,550,340,
736,330,849,355,329,670,298,535,224,265,308,724,589,528,375,082,054,372,339,
673,661,460,471,485,973,862,845,311,354,603,052,366,786,680,837,821,935,224,
356,120,893,837,479,280,822,689,879,234,743,150,779,947,517,085,987,232,085,
530,565,640,783,029,366,952,140,160,652,302,064,878,101,565,444,972,969,189,
719,839,483,339,451,824,965,458,623,583,108,034,070,466,459,226,564,898,879,
883,137,630,029,397,641,348,759,487,357,332,161,953,960,118,040,955,881,425,
871,320,571,278,142,951,742,212,054,899,959,865,239,710,194,220,473,032,458,
067,508,976,467,442,468,161,494,567,972,053,499,881,945,510,187,718,766,059,
696,022,978,176,609,581,814,127,546,336,677,545,266,629,389,216,750,565,819,
988,550,728,136,282,637,051,275,557,942,679,602,212,619,806,225,562,051,662,
289,002,853,150,938,556,973,945,111,600,025,413,153,500,047,967,791,307,950,
085,252,650,474,664,675,701,487,419,580,296,016,863,449,077,249,948,500,687,
071,259,742,845,407,859,776,441,702,425,015,227,249,118,253,352,767,229,522,
506,195,853,217,068,589,509,727,426,837,751,730,661,463,553,896,804,694,948,
396,480,238,410,407,703,537,759,951,743,589,207,497,222,253,163,615,920,193,
220,506,978,785,779,056,085,273,167,333,780,298,888,612,622,296,150,034,204,
632,618,472,923,198,022,802,821,951,867,815,280,564,006,064,931,191,314,040,
931,568,228,865,365,573,881,333,213,037,353,552,398,015,205,092,852,186,551,
142,120,944,764,645,140,490,267,157,013,958,029,143,931,172,039,540,095,512,
403,481,080,765,102,477,013,618,130,661,327,302,836,492,188,810,822,380,307,
114,743,646,823,023,108,884,278,483,120,052,557,673,065,461,646,934,973,572,
918,668,246,158,717,697,401,856,522,930,126,134,888,868,687,901,652,579,358,
193,779,701,007,628,810,315,229,791,610,942,577,575,095,629,830,574,171,228,
886,492,388,051,933,895,394,751,796,767,627,211,871,197,210,741,983,194,895,
911,307,267,370,723,218,370,987,937,128,811,404,289,628,744,727,588,188,733,
653,361,246,821,665,508,499,230,244,787,409,829,969,792,841,484,547,798,782,
543,130,687,301,994,143,299,437,599,747,223,975,656,474,947,139,600,335,779,
324,417,420,338,381,258,127,783,676,076,279,465,132,524,407,185,420,731,122,
471,132,759,583,307,233,500,629,144,695,752,528,460,181,479,510,794,809,532,
883,541,685,586,824,403,198,834,826,002,854,926,921,759,805,350,083,924,578,
172,006,665,702,955,319,916,119,332,625,066,579,495,422,689,896,396,621,205,
325,456,035,238,401,568,342,074,059,164,625,033,759,130,252,674,113,147,127,
468,906,493,512,742,097,735,313,080,558,851,606,050,645,447,723,182,014,070,
648,625,060,974,250,706,206,737,760,715,642,827,230,691,233,929,045,483,139,
722,896,918,794,455,523,819,873,800,195,394,201,002,129,783,639,002,458,210,
493,176,775,861,458,634,413,485,746,894,548,641,233,251,964,233,433,012,162,
644,562,172,116,170,180,972,562,477,713,427,795,791,176,357,618,514,474,355,
918,787,260,554,710,198,638,613,638,526,882,172,910,613,404,002,170,010,116,
773,775,358,175,912,256,582,915,855,715,682,327,106,054,595,419,580,107,913,
882,939,803,869,180,396,938,331,314,686,291,255,060,469,590,993,901,501,765,
370,304,251,421,012,079,949,453,464,046,461,123,986,748,180,908,806,218,478,
269,371,087,536,762,184,290,747,558,708,279,876,085,489,672,482,518,640,443,
908,142,450,328,238,477,118,575,566,872,588,954,371,019,696,652,756,976,204,
419,922,102,518,523,376,106,606,805,851,469,520,309,130,306,576,206,094,623,
297,969,090,082,076,946,840,698,409,005,756,220,950,573,829,065,204,682,192,
369,700,523,611,925,726,751,776,765,735,813,609,825,262,659,429,776,819,560,
743,752,565,412,807,454,433,930,197,140,647,822,911,728,109,260,333,472,701,
344,675,871,177,767,893,278,513,905,984,936,760,581,596,635,837,748,437,216,
028,367,948,972,257,463,002,641,206,325,287,710,954,809,821,135,635,078,264,
616,064,531,861,482,701,830,206,490,566,356,435,017,994,416,939,190,133,472,
332,010,280,170,529,925,217,355,216,458,092,895,926,780,366,158,421,582,716,
323,448,071,491,774,052,855,462,894,487,311,496,527,218,411,558,572,471,211,
102,757,099,327,687,558,338,436,386,334,414,071,655,708,748,132,402,549,865,
308,911,398,238,204,312,208,926,196,836,739,302,810,152,111,828,137,066,997,
482,361,678,033,967,594,723,862,547,105,620,493,074,237,033,282,670,731,799,
165,272,964,498,699,545,145,393,276,498,834,121,979,916,374,349,288,538,399,
077,135,903,490,675,978,574,199,641,742,777,123,815,435,939,322,161,547,261,
263,064,865,856,931,081,737,752,933,966,463,249,481,817,966,699,633,416,638,
832,699,764,314,989,363,123,763,891,336,638,381,808,941,916,227,601,156,515,
216,996,728,573,962,861,557,156,774,274,276,440,473,603,848,023,788,421,186,
512,013,352,515,279,715,152,079,216,737,858,371,867,482,817,107,947,836,107,
810,016,526,785,627,379,296,992,237,712,447,695,115,349,445,711,879,466,450,
423,462,797,476,879,223,885,060,549,276,294,449,025,964,738,058,936,506,452,
969,190,111,441,480,515,447,371,781,846,461,216,259,242,828,522,093,580,007,
367,983,361,715,676,946,385,959,282,370,738,160,856,672,489,105,869,412,611,
942,389,719,956,297,178,551,378,418,421,507,268,883,324,929,027,526,908,573,
511,885,412,636,419,744,404,407,138,008,265,501,534,524,958,808,701,030,986,
379,278,300,717,765,653,091,347,164,565,193,806,409,482,062,634,046,785,353,
207,925,850,926,174,850,925,694,976,882,318,606,805,163,831,273,235,595,042,
851,008,552,824,220,464,822,621,600,484,149,938,792,064,635,139,764,233,821,
283,136,286,101,764,232,969,964,938,060,259,047,760,157,690,563,440,135,717,
368,016,075,398,734,030,704,981,438,937,891,876,288,507,074,330,006,729,316,
124,045,170,191,130,092,958,009,415,752,277,535,862,167,297,274,741,214,179,
068,168,118,402,468,896,852,665,112,158,610,025,611,001,206,957,629,321,711,
241,468,777,348,828,963,998,694,448,368,890,112,560,833,045,783,517,653,254,
255,823,702,359,940,969,096,392,777,392,258,456,294,590,701,408,420,485,700,
463,884,648,059,031,437,662,155,576,161,642,763,778,995,073,889,651,030,023,
358,063,452,689,922,825,705,847,521,639,266,755,197,624,341,749,867,522,688,
687,262,402,804,051,072,114,430,284,828,141,775,282,354,178,804,567,467,958,
890,245,640,182,448,048,666,343,282,624,414,727,201,389,092,736,685,041,266,
341,647,515,112,518,866,302,588,691,881,075,571,057,094,774,647,055,125,493,
414,694,676,345,557,447,451,848,215,302,827,014,358,702,285,863,659,012,238,
485,290,205,820,657,504,522,218,764,132,538,576,275,257,718,244,582,302,969,
365,029,887,484,804,446,063,122,955,426,011,842,151,739,110,977,135,011,001,
162,656,323,002,497,095,112,915,427,332,681,158,650,347,303,575,975,100,390,
080,867,036,876,794,957,721,196,135,576,659,003,598,551,792,332,927,915,390,
052,507,800,903,605,130,320,882,893,927,989,806,627,332,650,769,815,069,209,
507,013,812,536,526,654,086,662,388,234,278,723,625,441,045,996,911,748,778,
581,085,001,534,162,311,801,900,578,570,451,309,655,258,847,453,461,579,559,
739,284,227,098,197,287,713,578,644,600,363,616,364,802,274,012,372,981,513,
912,513,015,171,182,299,476,682,401,248,796,582,219,698,281,858,797,677,414,
527,619,474,702,179,204,072,253,886,583,208,218,744,853,808,546,995,163,281,
727,588,302,540,141,046,802,770,349,209,020,265,499,329,614,727,990,669,368,
425,310,675,271,402,751,937,117,806,941,408,327,952,574,032,876,002,913,985,
496,226,063,236,659,383,127,597,037,471,403,968,574,233,357,711,865,389,131,
650,648,382,330,754,070,908,914,940,543,073,234,597,848,447,720,780,017,566,
662,985,330,469,264,747,069,963,588,093,713,405,376,371,817,970,615,386,151,
880,034,322,731,810,280,505,894,552,372,242,611,796,766,038,214,486,941,051,
084,647,961,738,186,081,784,164,589,565,753,588,434,406,077,991,322,526,893,
159,194,794,017,911,122,135,305,792,837,503,886,779,961,145,104,846,493,986,
583,207,954,066,168,236,395,297,815,451,841,308,541,626,062,988,171,203,837,
375,569,914,172,531,191,682,236,446,593,811,083,105,884,568,698,569,091,526,
868,402,238,413,924,541,853,512,636,920,012,707,432,083,729,614,001,674,720,
619,216,404,957,823,246,298,439,936,017,019,422,088,677,203,293,813,583,188,
878,893,797,788,784,902,674,317,174,264,883,164,369,849,045,021,908,149,777,
197,424,749,191,964,083,615,811,733,250,074,119,818,494,811,043,500,847,306,
661,539,391,288,153,169,912,384,230,693,201,085,796,469,552,260,788,601,332,
850,403,876,739,339,308,121,929,469,423,088,581,786,234,649,432,385,893,955,
240,589,976,100,604,270,833,247,542,060,840,861,366,803,256,181,428,215,277,
112,680,753,320,048,622,214,557,985,139,351,290,427,340,514,918,261,037,335,
298,888,987,464,256,680,036,056,823,739,382,542,350,921,159,948,843,916,358,
412,148,175,413,928,073,158,488,429,744,230,566,198,008,629,166,997,460,966,
649,143,757,783,534,755,436,414,503,904,206,283,146,520,987,014,590,006,081,
635,004,441,864,214,337,690,088,237,779,750,931,823,822,789,954,400,086,365,
266,444,218,944,379,216,472,829,367,649,255,319,580,800,745,354,538,626,464,
968,478,379,664,240,207,894,629,624,984,388,633,787,043,632,076,767,839,224,
998,958,554,810,088,586,723,920,755,618,268,296,177,787,370,889,964,232,315,
039,488,743,425,498,216,538,951,924,636,962,447,715,804,389,628,166,041,921,
568,690,617,463,334,907,191,819,057,592,989,087,996,797,828,283,635,660,927,
840,653,550,542,422,476,749,947,092,740,207,725,519,403,363,189,934,287,964,
625,696,907,805,102,439,670,347,701,827,398,442,317,940,618,781,931,855,419,
854,446,159,144,443,822,454,760,657,360,829,550,656,091,524,391,303,856,680,
786,779,807,494,717,702,571,873,947,331,526,031,698,371,495,521,592,913,398,
994,226,993,553,511,860,548,101,625,798,239,978,306,306,615,363,669,085,305,
693,129,785,843,710,449,953,393,597,396,482,230,349,041,352,555,638,420,383,
314,093,429,234,694,628,293,686,874,849,345,593,634,132,129,640,287,771,949,
823,304,964,501,095,903,815,322,811,157,603,292,823,454,562,050,123,684,786,
567,094,652,361,744,415,600,619,967,871,810,388,858,716,807,345,473,733,564,
669,201,784,659,537,177,343,647,768,007,071,720,796,412,687,696,112,882,800,
940,160,247,697,740,216,679,439,234,871,059,928,032,433,041,737,867,210,655,
767,187,878,061,229,681,423,829,587,263,235,988,785,311,731,266,521,623,077,
216,216,360,477,688,595,570,270,355,073,389,816,314,889,619,910,982,666,791,
120,377,311,673,556,623,296,650,697,164,369,342,276,385,173,661,798,330,833,
600,261,230,701,526,322,735,444,196,596,734,727,115,258,264,352,518,099,284,
231,337,414,727,618,106,133,473,568,924,130,257,959,750,181,037,741,274,775,
414,835,240,803,044,293,188,745,462,744,225,190,324,230,871,573,805,805,526,
042,340,727,239,849,823,277,214,713,066,936,326,753,897,831,709,493,198,532,
827,122,903,258,079,371,956,629,630,217,270,638,913,042,603,806,929,109,641,
133,113,305,376,848,428,540,970,203,119,991,813,952,589,418,412,996,595,682,
415,434,923,865,788,764,550,640,483,593,340,791,450,758,302,170,358,070,441,
453,463,537,828,088,416,041,060,662,941,601,847,038,811,660,363,757,236,591,
228,612,627,527,923,020,181,595,264,278,020,241,136,137,405,803,197,601,498,
006,141,855,775,440,462,453,544,624,761,052,702,916,431,296,846,519,493,134,
939,911,826,574,477,717,177,283,631,961,379,388,953,940,043,309,607,946,475,
902,836,400,246,100,995,294,997,167,992,706,876,902,664,125,101,550,310,782,
999,488,716,249,303,030,725,243,752,375,240,056,242,177,454,608,591,893,602,
668,500,633,015,994,640,286,328,706,084,259,001,011,065,945,739,550,828,377,
112,605,450,974,077,217,965,753,808,821,926,169,896,444,895,742,683,625,119,
758,548,956,877,072,243,974,162,076,121,137,105,729,346,736,787,219,336,440,
199,727,484,081,831,774,486,497,620,229,815,508,748,569,282,168,081,116,106,
936,047,371,460,718,831,774,091,285,332,210,426,019,545,672,017,102,667,859,
438,087,494,664,289,093,880,257,976,392,067,195,879,753,361,613,617,785,003,
682,832,452,649,392,152,245,915,172,466,887,618,016,511,018,329,958,108,805,
738,407,426,473,459,929,157,255,228,726,373,826,819,246,083,797,716,621,955,
673,383,808,213,080,483,688,327,006,177,260,456,963,291,000,077,868,701,787,
301,010,454,899,538,990,066,324,467,562,570,394,804,215,402,750,706,168,069,
404,620,894,405,740,822,434,002,490,718,078,462,743,215,691,691,229,551,542,
463,662,188,109,195,591,608,327,636,381,205,797,541,444,975,668,023,153,145,
079,452,186,609,394,464,438,470,535,555,475,095,130,450,749,174,368,488,562,
943,428,882,874,205,598,108,683,606,472,679,034,363,959,550,663,075,482,262,
990,848,579,879,456,016,509,611,296,379,841,602,626,711,457,154,156,485,837,
739,228,643,690,396,466,382,871,676,544,933,038,314,438,918,666,817,563,720,
045,909,716,981,779,783,392,841,793,754,189,639,549,564,491,472,127,798,455,
236,611,599,404,130,636,281,598,455,994,989,428,502,154,820,684,266,115,833,
530,302,441,121,164,749,317,611,631,070,962,845,591,705,626,872,154,729,370,
091,905,611,843,522,147,031,247,738,500,934,849,585,883,325,616,231,261,511,
045,538,679,775,149,867,146,414,896,510,792,275,028,392,022,145,425,815,704,
398,700,447,780,708,804,121,911,877,815,422,470,399,991,669,194,270,471,896,
629,260,917,910,004,116,088,120,771,330,542,629,741,430,270,890,301,743,268,
582,457,407,248,453,610,250,598,279,232,102,935,651,378,856,178,005,369,699,
484,582,814,237,338,305,949,348,019,369,145,140,596,786,076,107,939,896,754,
636,027,759,434,985,713,633,775,242,352,814,293,077,840,460,279,128,410,103,
075,561,238,265,312,712,188,753,746,011,023,911,538,162,605,984,857,100,829,
337,922,545,193,149,543,671,643,336,498,062,977,898,572,785,515,360,556,100,
043,832,894,872,049,222,778,285,153,552,706,186,621,299,458,787,165,819,017,
735,303,056,642,310,010,196,510,538,352,609,793,890,563,872,983,509,767,695,
104,792,835,500,459,827,658,411,364,473,772,408,169,148,486,351,092,913,831,
849,795,710,712,986,121,797,507,862,990,943,447,004,588,964,272,364,870,043,
200,222,583,169,676,127,628,782,583,196,464,787,683,014,827,506,163,972,226,
742,627,050,645,862,267,976,063,065,845,676,065,774,214,583,592,043,724,199,
959,957,500,205,132,119,402,205,636,235,084,945,942,782,965,576,573,473,903,
400,444,192,600,258,644,455,911,111,333,500,576,270,584,720,788,450,278,551,
090,701,048,957,547,038,592,563,872,938,278,939,976,904,633,392,943,878,824,
022,572,283,882,505,861,421,887,499,384,724,556,647,488,318,573,138,421,896,
600,124,989,378,346,687,590,158,357,810,188,642,287,417,069,086,777,963,826,
487,520,149,474,108,596,880,003,460,965,716,291,728,291,805,548,697,203,817,
385,129,122,784,722,725,251,425,811,644,923,032,830,082,683,422,563,924,907,
294,724,712,817,997,432,037,810,844,424,410,753,778,705,231,671,214,792,371,
589,759,725,670,053,671,837,875,910,785,315,739,579,023,616,540,594,164,141,
477,084,236,200,640,421,569,355,705,476,994,292,734,465,775,824,127,198,261,
490,670,673,714,453,413,380,263,694,928,473,321,933,409,898,173,866,542,377,
922,947,562,697,375,959,134,564,440,138,550,648,858,112,147,475,150,209,919,
107,411,659,321,073,494,837,658,057,965,035,977,128,417,566,689,406,149,348,
797,940,635,542,740,859,239,261,141,056,239,487,658,731,305,305,827,363,032,
606,822,224,524,935,793,766,843,208,995,078,023,577,001,725,241,080,344,717,
859,801,713,563,404,330,611,749,620,668,134,883,196,687,633,335,700,954,177,
216,317,055,623,178,537,987,228,083,929,120,969,204,133,083,732,119,599,153,
273,166,157,847,981,640,954,722,868,305,921,801,941,917,478,924,505,737,997,
512,272,070,999,016,044,621,498,609,421,538,277,079,307,361,383,446,508,067,
265,606,603,931,452,204,861,231,408,979,328,880,748,451,275,442,369,342,574,
177,199,358,774,820,740,972,164,111,711,132,924,295,210,785,776,875,140,082,
165,879,734,792,695,860,052,651,257,260,454,062,419,926,643,621,644,036,709,
089,273,934,832,187,336,834,610,203,382,952,670,481,317,745,846,538,400,062,
227,939,173,961,775,132,778,209,304,804,142,529,841,970,971,029,094,858,448,
565,961,158,110,785,541,847,138,737,949,295,950,560,089,396,981,895,553,620,
426,275,633,076,487,668,562,246,837,321,212,366,882,500,886,763,542,066,941,
578,348,069,499,585,765,429,996,742,135,649,681,146,539,014,479,874,631,621,
793,013,877,738,306,477,531,705,150,640,061,518,686,654,957,253,559,921,808,
757,290,075,239,814,872,604,683,381,245,552,093,521,230,562,886,968,927,855,
286,362,470,954,109,791,810,727,327,834,435,406,277,131,212,975,681,494,932,
558,356,449,671,124,051,898,583,605,005,617,111,740,614,032,534,191,970,142,
693,739,876,814,086,653,897,147,101,839,704,154,212,043,919,870,721,517,068,
611,195,785,235,365,252,719,646,428,053,765,025,384,444,726,928,872,145,492,
611,021,597,209,727,453,349,029,668,793,558,460,381,955,102,680,198,428,724,
340,321,148,533,143,836,970,318,124,390,934,984,774,436,076,442,097,269,475,
134,856,973,823,477,661,610,991,460,104,307,492,385,937,747,921,629,805,918,
590,137,667,066,854,756,644,905,903,770,276,476,274,950,506,216,560,256,581,
679,269,755,490,149,192,631,962,291,317,593,074,090,656,280,875,492,280,459,
177,908,657,456,287,563,418,981,620,874,164,591,052,937,914,525,533,822,869,
136,377,516,917,703,220,947,156,614,609,596,505,574,405,722,355,185,207,967,
662,669,620,913,135,343,367,101,089,155,957,193,896,761,579,021,239,410,855,
902,037,765,678,122,951,254,065,020,496,931,239,799,804,095,973,463,332,889,
819,699,503,396,657,542,780,358,923,561,949,255,141,575,727,810,948,329,992,
743,041,392,956,178,173,691,319,576,414,189,885,106,517,413,554,963,660,731,
115,641,761,587,891,020,438,570,050,421,443,790,767,673,677,834,197,984,214,
881,584,110,445,733,485,233,864,514,194,163,601,613,917,496,838,828,501,542,
349,654,828,973,433,432,009,622,705,720,699,196,485,148,335,303,177,606,820,
383,426,548,360,457,341,654,214,125,827,758,120,217,795,659,567,927,858,759,
248,467,623,815,470,191,801,855,729,295,734,687,270,026,559,270,421,271,417,
208,964,844,452,086,345,649,275,678,543,511,805,310,652,902,126,996,926,860,
908,653,559,716,504,397,159,442,399,286,828,875,814,782,772,271,541,362,618,
103,895,912,247,429,551,612,738,011,995,091,362,568,435,265,898,970,690,513,
931,939,743,479,336,633,044,272,802,450,845,546,370,834,908,788,001,467,091,
932,254,281,775,467,405,481,218,421,428,418,875,860,015,455,505,581,841,641,
928,694,520,632,152,235,037,297,706,722,330,994,650,885,888,615,421,965,406,
135,490,782,029,536,828,961,582,832,077,091,175,906,068,101,065,226,428,859,
055,297,097,756,205,787,023,451,934,678,538,125,716,947,986,647,433,842,776,
839,788,838,218,138,410,047,486,858,301,709,241,195,878,579,517,651,037,422,
978,524,171,367,268,019,359,798,083,462,540,536,453,544,475,715,490,267,043,
843,527,429,289,455,281,424,583,963,591,498,745,748,782,431,665,165,900,061,
314,151,221,351,564,431,158,317,248,327,788,679,812,851,186,371,745,657,416,
198,661,169,847,436,793,254,832,577,460,405,985,649,007,667,095,888,682,406,
462,196,861,760,749,213,156,446,820,596,538,193,208,114,308,489,065,503,411,
298,039,226,894,444,358,373,556,509,314,403,885,779,665,047,514,193,500,371,
293,860,659,976,004,395,092,998,342,357,837,819,148,402,830,934,528,741,289,
564,823,806,472,823,216,606,820,664,844,509,164,632,228,502,098,181,106,064,
432,454,966,086,577,825,543,556,916,876,748,063,590,369,216,047,901,446,703,
107,733,279,204,388,303,036,551,702,301,648,159,172,066,462,864,628,234,508,
261,762,708,814,941,048,794,973,977,416,901,763,090,473,195,347,362,724,299,
415,863,714,514,997,391,282,028,917,254,866,639,146,898,618,725,089,140,848,
369,250,052,647,969,186,351,069,239,579,416,841,579,542,615,032,419,332,112,
553,510,425,264,497,366,103,418,630,004,515,327,780,859,386,125,142,930,517,
367,447,608,059,090,687,925,674,838,534,253,584,653,444,816,675,465,857,309,
667,717,980,641,974,623,868,771,129,568,010,029,404,961,051,309,546,507,533,
180,623,427,325,619,778,067,700,338,450,675,859,702,128,602,641,091,176,430,
606,550,872,124,265,095,061,654,627,271,701,205,157,170,217,527,790,134,707,
482,677,984,305,293,169,987,306,569,800,780,822,757,592,280,205,900,028,530,
280,743,797,836,059,354,401,282,573,758,611,872,279,246,207,609,242,082,171,
667,158,283,602,925,702,897,988,299,319,884,726,541,575,684,974,501,934,292,
257,936,355,543,102,348,603,468,458,242,244,230,331,898,056,549,006,980,986,
413,400,623,643,671,579,654,215,637,092,772,746,753,582,366,507,275,511,340,
956,887,623,911,084,255,901,943,428,124,438,875,679,741,201,620,742,743,327,
173,838,202,017,482,070,512,588,539,463,801,005,491,731,637,187,932,552,871,
593,285,485,015,613,070,146,476,530,818,477,814,709,895,202,818,988,651,227,
068,422,731,996,343,132,989,557,580,583,822,804,997,551,849,670,522,462,545,
801,968,216,544,071,168,581,196,892,535,576,966,829,319,410,110,567,652,033,
074,023,343,086,506,250,804,684,317,508,530,148,503,664,273,838,168,391,527,
926,677,287,282,882,484,848,232,416,721,112,144,396,864,509,237,022,174,129,
474,808,514,296,873,071,637,769,969,312,849,332,570,457,412,400,812,555,551,
837,418,866,469,743,005,522,287,738,425,278,181,551,987,024,092,084,824,236,
094,256,814,302,164,578,178,917,804,349,982,371,458,863,464,733,407,615,505,
853,221,113,103,399,416,350,366,380,289,770,674,991,090,227,802,538,732,714,
174,297,795,178,103,494,238,873,287,085,660,407,818,605,243,873,774,123,595,
774,761,570,538,827,325,436,934,122,474,791,486,044,759,274,898,411,758,749,
691,739,904,979,344,337,078,416,116,452,042,916,219,171,380,771,328,273,974,
870,171,893,310,285,999,581,849,493,937,166,915,562,293,993,263,226,038,482,
542,854,879,942,405,781,249,850,688,492,851,217,785,500,994,513,850,901,232,
535,356,280,922,861,778,137,309,602,025,926,871,065,111,333,183,741,409,931,
531,269,055,327,881,995,310,517,112,803,071,478,002,763,668,319,121,419,629,
449,151,670,754,296,678,907,100,218,601,104,406,116,100,072,165,930,625,521,
619,307,219,968,190,597,172,346,802,801,390,784,065,804,970,273,081,233,777,
660,233,262,526,178,536,534,871,146,636,955,812,732,246,074,892,196,745,235,
797,402,835,764,894,444,773,096,760,370,082,883,355,895,065,455,274,058,797,
768,024,625,168,150,304,842,450,768,515,272,034,302,675,994,675,467,766,590,
028,433,670,877,903,651,606,800,196,721,236,080,029,353,476,027,395,199,353,
739,931,001,040,262,796,639,583,054,371,041,242,860,783,261,441,011,185,212,
538,966,148,064,174,108,896,844,244,669,737,517,647,962,956,979,307,601,524,
468,529,553,025,347,339,607,793,658,284,273,998,013,432,444,036,586,424,725,
247,832,628,745,360,303,387,727,231,572,998,766,982,603,153,168,944,594,753,
540,862,728,983,172,074,997,293,574,466,871,095,109,200,951,863,325,716,630,
351,078,720,142,477,214,793,991,368,706,374,535,541,448,306,272,814,948,116,
540,614,213,965,990,333,558,304,977,012,406,583,434,731,888,280,168,042,807,
818,732,981,560,948,266,586,717,060,535,437,745,085,275,774,464,304,335,351,
351,381,745,927,567,451,492,494,865,280,447,488,807,776,442,274,443,636,447,
835,610,750,169,253,312,174,394,024,118,832,346,930,862,845,382,494,182,968,
711,845,025,185,254,602,057,006,785,640,567,389,174,297,489,572,955,921,283,
394,764,294,802,848,092,411,162,472,211,509,645,124,037,626,725,678,197,749,
576,754,244,654,623,192,574,836,224,979,163,536,769,540,359,305,508,226,044,
469,772,589,169,989,160,342,952,264,239,293,777,735,190,941,136,204,887,669,
461,090,285,681,891,222,687,508,254,952,913,955,168,115,252,911,252,146,769,
879,655,005,266,270,876,600,050,650,000,655,305,816,510,537,786,624,947,640,
871,544,867,580,566,938,374,954,988,091,149,223,210,396,172,788,425,764,984,
137,969,987,811,282,685,657,908,825,047,607,234,619,246,010,692,661,050,865,
601,896,464,938,066,036,788,323,479,381,550,868,111,007,867,381,315,071,666,
438,200,979,495,488,670,963,399,967,555,085,313,971,026,335,706,199,787,407,
575,894,609,031,214,248,270,324,249,030,577,078,927,039,338,017,519,254,633,
254,261,338,827,594,924,501,565,457,090,361,516,170,235,647,990,929,939,924,
042,043,210,652,843,467,369,323,982,971,088,257,337,184,074,933,913,142,672,
645,681,211,682,689,228,995,682,823,504,408,673,369,239,753,484,334,436,474,
739,091,096,513,425,610,505,739,800,979,221,118,631,940,355,829,031,921,704,
859,235,213,679,008,705,707,595,075,378,714,202,720,519,916,793,127,071,595,
797,809,481,670,175,249,114,016,229,444,884,099,370,260,322,693,720,246,627,
220,478,430,783,808,585,064,750,672,237,672,508,384,364,375,203,071,019,704,
345,532,955,118,835,275,339,839,188,623,216,959,588,408,811,455,857,756,676,
493,283,604,991,469,332,627,108,492,963,501,852,068,668,071,351,121,135,908,
556,015,391,225,316,721,734,940,372,852,459,144,187,321,018,595,667,636,565,
441,587,877,033,530,767,296,688,267,876,000,518,537,312,994,080,447,741,840,
892,688,016,748,234,383,075,785,648,409,983,800,223,167,639,714,370,634,297,
302,201,698,636,314,668,365,754,128,508,105,200,690,534,811,436,445,847,820,
392,977,308,414,375,525,549,744,530,090,280,782,082,714,356,533,077,313,793,
657,552,235,180,485,546,242,805,402,261,077,370,018,919,885,527,848,023,963,
346,292,859,238,125,145,561,172,354,806,999,172,900,962,719,870,454,295,393,
780,600,176,960,348,009,404,341,046,036,628,269,725,920,524,078,474,993,447,
761,837,619,788,120,503,824,176,751,440,758,118,202,569,172,487,759,696,033,
389,153,738,828,483,209,616,212,943,760,024,944,380,907,096,326,457,918,757,
348,247,516,075,613,249,296,988,023,082,624,642,682,342,886,090,027,833,075,
900,522,573,396,797,832,472,322,902,463,735,848,260,194,885,541,068,219,823,
136,657,982,069,989,591,727,736,018,039,946,010,009,923,953,887,671,324,356,
260,855,590,805,503,905,850,217,118,199,224,873,825,044,183,785,324,234,824,
541,672,688,861,673,465,790,029,793,136,253,265,943,830,021,177,678,125,544,
710,211,643,502,532,538,430,775,841,393,718,340,384,813,223,417,955,895,668,
929,188,687,353,779,195,919,970,732,879,544,998,347,918,016,448,388,233,487,
460,116,899,092,457,234,714,544,154,542,845,633,975,214,669,106,812,840,888,
056,951,657,545,799,346,814,760,442,804,347,736,467,085,063,336,612,458,251,
107,928,006,671,613,704,724,657,382,203,814,534,046,216,015,919,094,400,168,
384,102,196,409,778,382,637,690,575,195,741,441,669,942,272,841,362,667,954,
675,741,949,397,922,134,391,131,070,361,586,247,582,354,086,671,296,000,529,
364,468,373,800,317,344,035,498,174,502,081,250,703,771,657,892,848,170,627,
739,467,252,743,314,610,738,448,053,304,536,899,808,148,880,858,575,895,389,
564,106,557,295,803,642,783,985,002,868,920,634,773,484,406,564,922,779,538,
343,780,982,350,587,090,045,526,394,832,299,323,656,094,899,329,886,663,712,
714,007,882,910,923,799,793,510,945,847,570,990,758,281,731,358,584,346,400,
383,704,127,174,639,960,011,804,961,761,408,923,918,501,829,148,324,036,194,
575,914,939,140,587,567,254,520,608,920,843,956,240,397,333,010,275,550,472,
274,885,010,636,949,013,069,646,672,645,038,737,013,573,592,066,408,435,993,
210,094,505,462,076,727,984,624,122,097,068,094,282,079,995,526,662,508,808,
888,320,254,466,928,453,534,088,667,506,059,070,665,677,013,577,597,790,334,
012,413,749,102,473,832,696,458,938,366,455,446,565,895,063,378,693,380,894,
322,451,255,567,228,884,793,242,524,876,073,213,763,660,087,885,586,490,125,
389,645,505,320,287,880,816,888,649,047,667,766,553,419,421,747,448,334,668,
066,302,367,836,893,306,586,201,769,881,707,586,230,299,533,860,628,806,481,
778,372,172,787,633,219,710,954,378,303,231,606,724,329,211,218,352,430,042,
535,994,406,240,955,641,166,413,127,184,506,301,332,529,826,793,945,334,989,
795,711,152,383,647,845,993,736,530,317,818,256,807,867,914,355,821,947,765,
769,216,594,058,355,709,011,998,493,940,945,927,947,774,380,053,910,749,766,
075,401,045,780,750,592,377,060,718,419,777,721,242,292,490,304,738,778,590,
205,734,462,914,055,679,248,682,177,625,474,208,503,480,660,599,881,022,181,
009,884,037,016,091,113,032,540,119,195,449,290,279,867,410,330,218,109,441,
406,033,058,891,557,382,563,008,999,784,755,368,422,667,152,294,685,540,947,
004,973,439,771,317,701,575,655,080,574,400,415,343,861,358,042,733,282,328,
519,497,032,545,793,229,635,370,540,114,399,863,643,041,723,135,569,531,793,
599,437,695,023,407,123,588,898,932,943,429,984,967,859,915,497,267,289,963,
056,833,578,859,381,374,833,462,168,594,018,522,154,123,348,738,623,291,911,
221,271,536,252,507,207,324,681,721,484,385,896,603,644,286,126,171,497,800,
770,087,975,523,650,076,417,784,199,588,105,484,573,100,389,812,449,960,094,
632,419,415,717,974,151,756,341,816,696,609,229,248,099,619,703,707,989,049,
980,749,381,017,074,698,480,385,439,399,703,696,843,702,990,454,797,542,381,
539,512,339,157,730,077,882,859,953,798,913,900,880,061,771,201,282,946,369,
787,413,192,161,448,531,447,147,491,199,262,828,184,476,382,456,801,553,450,
294,126,876,210,670,104,950,393,203,728,930,870,465,174,562,361,864,998,957,
473,797,303,715,887,525,292,160,957,153,480,391,371,870,551,962,775,739,362,
334,272,671,001,391,457,051,917,552,539,916,747,153,958,585,937,660,426,765,
418,082,016,658,007,277,249,424,076,503,650,625,891,405,780,674,539,147,254,
685,283,482,126,399,405,242,490,875,437,914,114,604,130,824,026,614,138,992,
225,752,115,250,421,533,082,491,841,809,694,728,356,948,833,476,253,492,876,
011,100,868,547,534,957,751,569,261,861,913,809,962,846,509,089,415,106,931,
023,135,753,791,003,523,655,086,734,060,855,049,174,417,211,801,472,526,642,
715,688,632,743,220,214,436,797,887,924,856,457,470,741,704,514,416,334,105,
370,603,946,961,962,903,486,244,162,037,096,682,089,479,080,903,924,993,275,
155,288,978,417,143,571,356,333,348,936,536,846,733,127,424,243,235,111,315,
792,530,793,396,297,177,383,182,513,055,124,393,192,533,042,163,889,820,777,
931,911,861,219,767,687,058,992,091,850,132,821,382,964,467,987,994,123,594,
268,191,483,339,461,885,259,653,294,773,910,269,748,103,845,991,694,139,881,
061,508,295,415,928,409,347,442,623,439,466,715,036,710,922,653,394,905,619,
917,173,137,292,156,759,880,756,476,806,044,512,393,404,011,533,823,198,894,
013,346,963,344,255,261,397,852,075,371,985,692,980,215,063,805,252,638,274,
934,304,869,312,587,894,435,194,776,672,886,852,778,123,624,484,039,211,474,
333,592,115,995,821,866,864,588,835,338,689,669,576,087,917,185,390,210,219,
969,870,249,503,571,339,758,016,309,961,111,310,864,365,295,376,534,801,405,
163,934,171,663,587,625,886,659,275,034,460,174,826,034,016,323,900,545,721,
587,249,908,667,631,605,889,971,896,254,139,097,833,975,707,586,575,524,313,
108,353,244,130,277,888,690,812,664,109,137,405,971,929,586,226,791,950,379,
319,634,265,548,544,271,209,895,837,579,453,228,880,208,778,160,236,839,535,
990,008,462,336,679,009,969,897,601,603,365,961,864,437,968,281,467,355,990,
005,800,046,637,989,016,026,243,475,483,258,614,542,241,025,269,941,356,746,
215,478,130,357,055,279,782,547,537,752,052,665,586,489,913,009,781,188,225,
763,473,925,464,278,858,469,442,071,362,582,967,526,390,729,224,382,726,671,
170,849,189,308,760,485,359,318,348,529,757,418,553,342,063,067,473,678,713,
998,038,404,383,489,809,836,140,171,061,971,173,630,199,674,644,714,050,472,
079,282,855,966,977,101,573,798,964,786,108,771,498,833,106,319,670,671,203,
867,910,026,635,777,909,335,673,891,326,414,407,782,163,834,862,007,421,092,
526,861,824,409,623,211,520,706,780,284,729,896,289,953,216,962,606,482,710,
681,021,339,436,640,932,265,708,882,549,246,348,727,779,551,779,510,590,966,
842,177,422,626,745,255,312,597,768,862,432,852,122,188,844,685,529,867,674,
668,903,011,362,720,234,346,508,994,159,892,284,704,343,037,126,527,555,278,
293,434,140,559,180,849,933,199,677,095,289,333,210,015,165,891,821,469,847,
361,466,907,495,818,780,954,985,423,703,993,505,565,999,797,009,113,021,841,
948,582,382,189,049,586,455,704,108,052,332,979,592,419,099,854,725,602,171,
690,519,123,787,032,815,264,918,422,219,816,674,001,056,686,456,534,660,514,
519,545,403,028,107,569,518,551,805,203,902,007,595,600,677,236,362,759,689,
672,194,288,370,082,771,306,991,250,217,759,220,976,008,109,068,281,917,510,
440,278,853,919,381,271,613,289,872,304,951,801,166,120,877,084,732,520,873,
540,380,922,357,791,491,719,741,196,569,696,282,682,547,612,930,938,774,248,
633,974,270,553,031,753,509,906,859,485,911,790,008,053,932,857,601,708,962,
361,596,578,171,666,583,607,677,820,534,636,473,188,491,287,199,842,127,311,
419,195,500,837,153,053,276,622,523,723,347,954,086,896,290,514,031,105,391,
152,804,689,612,671,913,165,240,079,321,987,638,148,353,575,111,428,739,304,
099,318,700,611,544,108,400,358,207,796,578,782,078,068,458,788,087,185,842,
952,226,779,437,224,721,822,023,051,781,784,349,976,950,529,428,667,649,793,
116,328,424,430,408,357,022,076,489,125,040,079,939,215,488,337,664,435,162,
119,034,880,966,287,719,166,906,534,039,146,972,824,880,966,149,972,749,351,
395,875,248,714,010,486,744,651,634,185,832,939,203,569,875,562,038,136,949,
249,354,345,305,486,239,890,116,531,438,658,734,225,849,240,571,361,703,819,
146,797,393,726,200,017,717,964,869,032,074,036,822,825,187,576,554,372,892,
468,876,875,474,025,820,422,253,439,835,884,469,185,030,404,798,425,608,472,
035,782,527,239,431,211,175,862,782,192,348,329,598,499,427,962,002,535,068,
412,644,063,851,086,621,237,029,932,220,286,508,546,829,030,015,005,723,653,
852,832,898,044,065,757,224,496,245,237,934,027,389,721,089,078,874,567,180,
949,519,415,628,597,389,191,277,250,956,614,553,240,293,840,333,851,593,638,
266,246,787,237,030,197,320,387,480,360,101,762,180,870,592,892,909,776,281,
549,974,338,115,285,983,789,826,995,793,265,380,799,273,726,409,500,471,694,
201,024,613,074,517,995,585,382,790,107,154,383,501,530,292,728,791,424,195,
509,872,097,117,542,968,043,422,515,654,317,618,265,141,719,471,266,666,595,
056,633,257,677,242,111,947,506,849,420,633,780,048,171,684,609,337,995,221,
473,302,315,256,066,520,280,900,862,054,119,555,025,403,075,631,134,385,746,
391,198,486,411,581,867,045,067,165,742,374,560,325,170,952,708,105,154,611,
379,833,300,681,818,205,651,790,968,569,575,087,121,538,232,568,821,952,846,
364,067,470,564,952,738,129,419,797,041,943,735,179,363,228,632,282,451,266,
713,794,078,527,157,423,811,921,658,750,162,414,698,646,623,912,649,829,946,
863,190,016,771,934,207,580,215,480,803,162,501,540,385,647,250,630,657,679,
757,456,681,958,102,462,162,987,715,058,016,484,724,001,766,404,949,209,301,
597,357,480,191,629,366,066,235,346,962,693,234,139,907,114,500,867,144,029,
704,034,694,078,379,020,742,337,128,265,073,577,902,957,799,804,274,708,745,
174,779,936,652,876,397,337,711,236,559,525,561,921,019,471,872,189,775,727,
556,341,651,659,675,224,960,584,575,822,625,552,465,486,283,896,144,837,587,
894,516,641,161,642,832,319,460,266,515,124,721,843,024,293,010,613,606,697,
847,360,977,652,219,618,829,841,285,344,598,623,588,412,897,032,529,705,148,
060,942,299,928,828,135,859,925,027,269,001,438,297,018,374,692,890,872,104,
905,018,251,989,939,117,744,759,292,847,978,104,109,588,687,333,092,665,881,
501,366,995,780,211,660,614,285,342,717,989,290,864,211,713,652,675,676,709,
631,143,579,053,481,420,128,136,456,677,769,323,110,066,858,249,309,445,297,
635,498,359,254,429,580,267,340,460,222,505,355,172,675,977,005,542,950,418,
963,220,079,444,861,965,487,896,875,474,452,050,296,610,384,607,730,349,674,
037,619,497,771,616,992,047,335,119,344,190,239,089,235,849,925,152,299,058,
199,698,627,503,956,683,099,229,494,616,577,379,476,506,665,530,250,733,233,
029,815,211,159,826,966,581,812,114,703,784,906,558,083,090,317,979,350,869,
720,917,778,309,978,458,842,645,245,545,724,995,328,541,304,953,148,730,678,
274,192,804,639,818,674,758,883,738,874,016,970,043,981,998,911,207,293,139,
921,275,704,328,288,656,370,547,160,621,004,837,662,625,452,534,536,473,686,
932,339,337,068,513,480,095,702,202,064,068,127,804,221,381,890,596,546,327,
323,549,144,778,325,622,031,554,442,048,149,785,708,394,385,883,962,813,563,
166,840,898,220,050,688,533,923,187,479,105,191,522,218,589,052,796,796,299,
111,430,874,302,827,392,207,026,054,663,042,118,780,048,236,910,720,601,241,
933,364,187,624,080,167,823,109,329,457,960,841,199,425,019,135,274,512,489,
574,461,511,278,795,243,839,886,731,465,573,130,178,287,153,625,532,129,027,
673,892,065,229,154,396,721,425,753,238,705,218,266,810,936,649,682,283,687,
947,793,829,656,874,246,709,056,201,667,277,629,498,926,896,000,756,646,971,
713,933,860,761,767,102,579,943,433,894,240,813,101,507,857,744,180,042,131,
422,207,713,141,897,234,132,943,911,980,972,181,200,168,631,488,198,849,611,
543,589,561,256,678,804,007,369,585,365,183,228,205,259,235,697,100,997,875,
895,797,866,615,893,587,148,917,068,652,461,128,806,274,006,485,617,374,323,
079,300,997,787,645,631,985,189,372,282,301,462,079,859,652,399,708,779,127,
233,601,561,433,597,758,203,746,657,888,400,522,042,142,778,746,865,845,918,
801,031,091,263,295,892,833,285,066,849,858,049,955,261,053,105,048,083,714,
402,124,230,493,278,816,655,092,181,320,526,131,842,398,327,777,451,045,393,
144,903,616,717,911,141,366,072,883,200,853,902,269,715,011,116,659,815,095,
778,843,794,259,121,558,762,636,416,375,701,322,673,683,188,835,642,870,782,
500,483,128,379,347,190,888,355,498,083,662,165,976,208,191,426,432,561,063,
404,721,575,408,217,296,907,104,897,026,683,459,530,272,509,557,259,720,085,
228,442,375,877,878,547,289,465,824,468,638,612,812,957,137,606,796,501,105,
899,253,549,696,876,308,268,086,042,652,645,402,846,705,712,460,384,540,112,
459,069,415,504,064,872,881,236,426,693,818,507,969,361,913,731,355,310,970,
967,662,219,315,229,274,269,024,197,070,109,054,223,916,938,106,812,632,074,
666,071,635,568,856,306,446,206,684,329,988,411,050,206,848,980,810,572,736,
072,610,945,258,569,166,161,238,502,056,265,802,392,083,272,184,963,789,154,
574,300,654,910,033,297,991,561,692,835,068,957,953,646,486,064,632,478,082,
882,701,016,518,903,784,254,251,908,092,344,213,983,328,283,837,516,267,375,
275,639,257,773,278,372,197,271,116,621,487,157,329,136,599,894,283,567,830,
606,777,081,022,439,783,185,723,736,045,479,501,380,523,177,080,961,459,180,
343,542,142,239,424,045,138,231,744,418,845,098,819,234,196,203,330,152,170,
720,258,090,834,079,838,548,591,504,825,879,172,474,000,232,965,820,467,360,
347,089,719,208,188,582,646,137,907,077,105,775,534,246,059,304,658,026,350,
268,986,925,857,190,715,738,149,241,236,146,500,870,342,127,061,911,209,326,
877,746,218,578,680,777,760,828,294,501,521,350,191,182,846,784,840,222,416,
820,176,512,611,884,522,554,695,387,963,665,914,524,198,709,557,614,762,276,
962,096,428,607,152,114,533,661,697,675,792,307,928,694,587,137,887,252,133,
164,628,642,147,515,856,629,128,506,488,711,553,653,599,051,905,155,972,092,
227,311,945,483,609,652,908,906,176,432,399,087,651,949,105,262,696,368,418,
184,754,779,094,074,325,271,360,838,526,166,150,315,767,725,319,552,096,408,
668,350,920,285,824,597,343,575,699,050,249,561,904,316,814,687,804,288,853,
564,451,672,601,343,782,493,878,060,912,686,978,182,110,289,044,022,527,167,
448,999,276,688,891,260,474,617,565,462,869,448,638,391,623,935,985,383,294,
155,519,179,095,282,459,064,684,571,396,217,088,564,585,922,026,316,481,609,
695,181,318,558,338,643,430,297,698,216,229,306,244,944,912,807,996,702,910,
855,901,601,171,107,970,899,076,349,271,743,119,796,370,852,194,356,084,800,
302,637,608,285,539,444,324,912,665,910,080,706,989,438,084,031,240,594,672,
681,182,311,868,614,544,525,805,225,805,254,273,485,211,438,111,696,431,395,
620,529,786,149,663,531,764,725,019,807,961,400,549,469,141,124,040,085,823,
432,450,838,270,311,000,510,945,837,029,831,396,375,463,080,199,933,710,608,
072,816,268,041,671,545,045,363,863,753,664,919,607,533,008,118,051,503,767,
615,931,237,307,540,734,633,560,474,460,841,006,282,767,586,548,167,172,278,
642,876,170,421,580,394,960,701,937,436,419,441,468,064,044,003,595,005,037,
515,064,031,326,077,729,409,026,643,692,820,405,758,046,115,079,845,816,804,
330,445,106,204,976,653,434,230,322,057,921,877,473,003,216,836,850,561,168,
773,782,246,587,118,321,150,516,186,693,298,827,636,401,056,970,950,231,607,
294,800,168,605,038,426,934,932,131,536,287,029,396,549,514,219,061,141,011,
469,291,459,529,343,431,487,741,040,859,658,772,489,672,758,626,813,681,437,
856,958,576,221,714,191,861,053,406,414,277,440,580,702,248,611,380,619,527,
710,483,352,794,467,478,080,215,815,802,354,265,737,699,693,373,509,633,386,
233,928,127,978,381,865,167,177,337,357,343,596,297,503,236,382,977,390,685,
671,531,801,233,061,430,122,783,878,345,329,042,262,044,333,881,885,009,381,
419,047,348,764,399,225,313,961,778,784,535,335,170,347,273,906,161,928,063,
117,251,870,925,274,259,799,184,209,671,303,181,597,049,044,677,005,543,472,
959,736,386,618,682,458,451,068,971,520,336,216,993,046,318,330,419,183,545,
595,114,715,310,460,337,547,713,744,730,711,376,503,114,493,047,093,898,333,
246,312,271,813,069,853,197,197,232,360,436,567,601,237,667,549,227,745,299,
382,898,376,534,801,280,650,887,190,574,584,535,778,368,873,633,371,618,831,
876,827,158,420,550,760,051,886,408,244,289,627,295,268,676,545,424,434,530,
130,289,213,909,081,767,784,865,601,303,916,976,307,587,831,754,571,836,160,
197,445,365,646,993,784,539,195,593,524,039,014,865,929,994,333,984,640,064,
723,352,052,598,437,717,737,860,444,450,455,828,494,222,080,591,009,578,666,
472,305,851,529,708,788,894,362,362,317,723,808,187,966,933,685,669,746,882,
623,057,600,803,227,595,908,166,705,356,568,563,591,346,893,400,115,098,469,
564,983,529,901,733,848,613,597,883,293,805,226,758,408,038,522,430,894,127,
645,408,146,239,292,147,706,939,278,427,491,633,868,953,170,071,969,029,400,
942,704,787,580,552,416,790,167,404,099,826,686,731,104,658,606,710,383,159,
786,731,651,919,465,454,805,945,271,558,137,299,030,259,502,975,160,149,295,
701,163,505,697,399,005,356,000,165,230,167,214,997,579,683,539,765,837,752,
871,368,749,011,407,194,386,317,997,581,501,185,187,250,507,165,979,551,906,
678,563,428,379,485,762,841,588,797,725,819,947,990,813,642,290,282,698,806,
939,998,182,620,125,275,837,983,693,089,250,234,173,395,624,161,195,830,138,
485,284,154,718,506,107,532,356,591,704,471,652,868,628,196,818,867,950,548,
298,138,229,062,713,897,147,741,963,517,394,459,975,942,779,076,492,922,848,
804,039,033,216,973,971,472,730,731,090,959,190,130,917,407,312,780,632,933,
134,354,236,807,797,720,731,371,829,789,988,365,083,013,441,350,656,370,248,
745,546,659,161,309,875,611,179,444,386,080,100,363,334,822,113,615,003,161,
603,942,950,078,757,486,063,844,518,401,903,142,947,324,091,270,672,487,811,
304,287,063,510,091,031,898,118,713,588,804,635,494,247,106,956,812,345,728,
684,993,141,913,181,559,950,813,003,466,931,742,960,457,488,220,890,520,006,
742,557,994,429,149,591,359,279,596,997,201,384,729,899,278,325,300,723,433,
490,099,265,841,268,255,601,479,441,017,229,025,976,698,442,137,751,718,481,
416,947,331,860,810,142,349,621,528,134,225,147,663,859,340,286,165,822,792,
668,447,813,778,546,322,820,940,080,677,607,296,154,647,412,311,407,144,957,
737,554,276,564,683,623,302,875,172,447,662,245,305,645,148,584,575,829,839,
739,602,257,252,691,064,943,806,846,599,289,691,770,694,071,496,955,282,199,
058,493,849,416,848,387,880,558,634,235,071,850,313,109,584,030,742,735,846,
033,564,291,713,248,091,129,107,820,295,459,829,409,978,330,834,332,494,673,
999,067,232,148,696,733,552,433,400,430,430,013,022,153,905,339,165,616,436,
584,700,910,455,542,946,525,954,299,428,554,512,894,946,336,527,706,065,971,
929,029,325,071,292,730,476,585,144,495,950,892,497,022,903,053,199,481,978,
922,113,571,142,662,308,389,568,142,507,656,666,044,404,539,327,619,873,384,
109,282,219,646,048,947,232,845,703,389,144,609,588,238,538,954,810,792,212,
548,921,627,323,329,200,119,149,028,620,378,682,794,515,749,193,895,338,100,
566,633,846,145,141,165,636,849,058,413,924,909,716,414,394,393,628,135,041,
566,177,533,782,649,763,442,134,806,307,875,212,105,154,376,839,575,529,041,
054,191,278,118,586,283,205,066,106,337,084,924,198,534,123,849,712,554,147,
893,841,328,878,494,974,554,609,410,518,619,754,253,702,803,768,616,682,092,
423,704,431,084,716,288,095,911,500,663,605,624,595,652,716,693,944,604,636,
213,407,079,828,724,584,195,563,293,022,454,373,235,079,424,279,378,786,848,
355,372,064,193,705,910,314,913,188,746,210,247,313,471,615,827,063,164,932,
334,849,327,190,049,881,192,232,240,297,706,513,608,637,172,023,821,153,639,
054,014,648,201,149,793,274,393,339,421,135,253,054,255,492,932,364,019,189,
453,785,824,752,886,075,513,717,011,609,388,971,426,648,841,041,631,638,411,
667,967,784,658,608,464,458,750,472,822,369,321,646,689,872,140,211,393,506,
233,895,231,143,196,635,594,101,582,878,100,775,374,985,164,769,001,012,032,
330,205,369,476,310,139,861,722,032,694,092,776,794,800,349,411,184,776,615,
627,320,795,350,478,168,745,707,205,323,510,302,089,646,786,927,016,768,078,
874,798,110,529,243,741,792,757,748,056,092,276,272,543,248,643,221,791,643,
001,131,733,079,291,364,926,220,824,583,383,639,895,958,487,558,678,266,570,
438,324,400,406,116,751,379,788,441,945,799,925,953,347,389,855,084,586,927,
494,476,120,667,597,859,286,952,627,031,254,315,482,990,569,448,188,950,141,
743,340,996,545,081,522,657,872,381,760,532,334,389,573,457,987,924,404,209,
940,536,379,406,820,250,332,188,856,000,032,836,031,219,691,710,348,763,359,
630,731,233,565,000,723,447,203,448,614,158,931,909,480,622,397,151,693,329,
984,875,272,856,551,499,637,457,169,530,752,859,606,775,076,693,535,152,976,
926,274,770,330,563,392,371,741,940,854,203,785,315,165,339,517,982,850,621,
901,577,055,543,521,386,698,516,036,449,877,802,358,722,792,101,763,060,027,
616,006,629,970,413,120,546,381,035,384,786,575,661,989,600,562,819,281,358,
925,741,021,935,246,643,120,316,095,945,485,690,045,917,930,950,240,419,805,
106,648,951,972,526,346,506,076,492,473,393,165,810,479,997,758,616,204,624,
308,759,614,344,552,940,095,145,707,259,849,336,121,328,462,614,417,984,715,
818,772,024,929,374,687,282,827,521,952,110,910,177,114,318,315,217,060,162,
465,692,079,000,527,313,663,566,412,745,005,221,097,620,297,425,325,278,447,
998,481,157,733,316,914,838,545,469,913,407,812,506,994,834,560,738,714,471,
974,644,115,053,792,359,316,351,971,857,471,412,425,237,619,290,730,071,765,
032,129,253,937,763,947,056,982,740,450,266,267,894,649,576,810,117,989,996,
219,066,597,220,349,128,043,009,362,558,575,621,148,574,185,035,376,899,242,
807,354,970,626,166,045,440,531,085,533,113,216,411,545,207,400,477,012,523,
840,007,119,886,626,027,855,260,030,494,374,180,635,185,772,633,177,625,035,
044,076,053,671,477,212,100,188,080,111,987,044,956,603,748,981,346,433,316,
407,375,132,635,959,121,453,914,556,650,330,583,484,552,286,283,931,133,022,
530,555,748,993,733,556,749,777,442,234,712,547,016,598,317,139,921,983,521,
960,865,534,116,381,457,078,390,171,505,519,080,619,602,134,672,162,141,021,
300,538,500,086,962,474,999,225,420,571,471,281,115,822,600,797,399,592,554,
721,622,083,179,279,989,484,919,699,957,603,676,774,545,102,661,856,691,212,
549,558,024,024,485,333,161,526,538,543,965,479,218,373,627,304,805,007,230,
439,883,625,810,157,358,398,085,982,448,483,033,817,314,816,767,801,877,565,
967,768,491,836,669,006,083,326,594,234,990,753,941,819,349,026,556,023,342,
737,244,880,365,064,746,014,236,903,398,292,178,968,409,778,548,064,927,196,
724,893,873,541,731,068,866,230,576,173,596,873,223,418,771,622,406,735,056,
501,281,423,093,299,269,722,584,664,461,061,173,583,814,219,796,074,873,311,
388,013,522,368,313,225,551,725,334,656,902,225,328,187,988,543,525,599,026,
169,111,548,889,320,255,525,653,104,579,586,500,163,896,722,837,401,760,904,
307,652,283,874,228,613,947,340,874,572,521,190,567,124,617,832,511,656,032,
276,352,646,097,710,802,611,385,373,496,108,448,127,515,408,422,458,410,138,
236,494,753,251,127,601,243,743,437,579,243,039,467,252,212,680,055,302,043,
275,726,248,516,317,033,520,623,356,823,285,925,937,267,118,403,694,203,286,
949,316,105,910,570,708,434,340,099,952,327,270,105,606,652,775,587,303,310,
882,833,523,905,862,353,196,855,300,063,394,849,289,482,534,559,532,089,366,
749,160,589,358,289,603,840,498,158,665,819,978,462,606,519,992,296,590,661,
903,151,428,531,626,961,438,867,765,236,624,323,141,967,968,629,453,392,121,
547,112,577,192,582,486,876,195,996,254,869,825,722,391,389,944,070,782,430,
269,785,373,439,392,915,166,734,315,093,809,975,793,128,242,111,574,184,380,
911,797,730,902,834,524,913,457,772,295,819,923,134,531,407,203,978,879,244,
190,914,740,489,770,798,610,299,193,152,732,653,571,078,742,857,768,597,315,
990,975,739,170,669,018,187,077,888,879,087,782,615,484,359,468,186,015,635,
766,321,239,280,866,801,755,156,859,637,936,146,019,243,876,635,149,226,763,
847,204,348,394,471,258,490,201,785,834,176,326,382,936,452,573,767,410,689,
743,801,029,731,833,859,337,947,811,090,286,678,776,310,990,685,594,736,611,
366,806,250,857,312,126,761,006,136,556,386,443,829,360,340,700,318,817,829,
987,490,041,777,331,852,889,520,560,599,829,203,537,340,628,767,406,257,342,
271,405,055,670,057,137,209,964,639,078,685,606,020,911,858,149,797,929,070,
266,264,230,812,399,208,009,905,022,528,992,098,529,202,707,850,908,113,880,
575,112,862,778,855,564,991,393,034,532,400,304,901,809,095,782,107,402,697,
494,912,982,606,197,523,911,073,548,559,432,763,980,244,089,311,104,596,327,
909,034,433,657,179,723,582,026,388,337,408,409,448,281,359,750,602,975,812,
152,881,383,430,978,508,858,846,168,142,183,335,114,832,774,937,846,319,440,
993,015,485,681,334,142,741,713,496,787,251,995,146,322,757,634,816,641,173,
352,247,951,759,488,727,474,474,836,550,995,610,141,551,664,923,913,541,350,
353,236,406,430,930,324,412,353,929,889,210,863,261,394,208,166,982,500,935,
119,811,668,110,484,583,154,914,684,244,998,878,857,919,078,730,877,334,372,
373,761,745,297,030,556,972,048,215,080,948,725,486,256,586,969,526,035,371,
926,338,242,922,177,426,788,417,643,448,799,472,161,066,106,819,467,643,915,
008,875,679,289,838,642,647,424,003,151,441,306,456,635,124,327,086,125,866,
285,950,672,820,814,258,670,065,618,607,479,673,753,355,591,793,223,556,426,
925,977,882,782,632,699,601,814,266,351,153,714,168,637,983,822,439,058,817,
870,912,849,461,585,743,752,555,969,587,666,641,032,232,079,734,363,248,823,
449,696,646,030,703,966,792,551,704,432,295,984,474,300,464,064,652,367,513,
362,709,066,758,896,997,071,050,196,366,569,034,669,546,509,460,324,991,430,
483,812,976,392,209,367,047,407,820,843,943,241,012,357,605,481,360,535,996,
367,169,269,293,935,268,934,857,804,319,842,324,773,107,468,275,651,626,903,
370,750,886,172,222,072,790,952,441,889,178,356,644,193,449,949,510,867,755,
373,126,005,273,866,361,415,500,585,232,311,299,152,908,203,142,271,749,202,
120,883,010,824,108,004,292,573,837,057,216,537,535,008,261,822,921,271,429,
452,251,898,100,340,289,009,273,085,996,802,760,231,727,839,052,891,763,121,
408,038,159,108,930,467,389,259,867,983,670,644,945,644,705,270,364,253,790,
347,667,728,652,883,384,561,512,243,279,403,420,348,803,687,187,291,262,003,
672,355,950,698,459,400,727,775,701,125,671,071,753,165,782,957,708,998,494,
024,906,866,493,680,640,370,839,657,849,370,375,970,609,026,196,609,334,474,
272,280,842,198,037,618,306,980,528,976,277,092,536,691,608,164,563,703,373,
863,860,165,216,735,397,662,253,250,605,974,713,077,581,439,700,279,193,365,
242,759,271,964,578,342,056,924,673,909,112,553,390,158,194,873,900,028,984,
792,698,000,395,227,086,502,177,445,723,348,293,108,778,419,811,018,794,469,
296,386,474,588,811,128,330,793,813,599,028,680,739,820,931,307,977,364,386,
054,695,990,012,330,064,834,056,697,113,266,411,837,091,434,373,533,178,440,
416,584,186,375,213,967,656,916,254,147,511,697,931,686,513,139,716,615,308,
879,069,105,151,315,782,696,196,829,555,819,280,460,444,182,285,636,021,537,
848,547,653,507,507,976,217,138,647,706,402,467,933,225,298,857,755,971,550,
416,135,907,091,780,065,589,165,731,012,993,155,416,425,116,759,675,004,332,
272,770,892,888,035,631,023,034,833,460,084,840,234,813,645,529,161,913,448,
625,623,971,497,105,639,741,251,687,492,015,534,104,030,313,498,800,361,137,
495,212,064,578,055,319,296,731,277,337,282,576,605,181,837,891,670,912,123,
736,406,346,340,657,383,154,991,710,793,249,516,478,726,376,526,478,438,219,
254,327,167,394,958,005,246,357,518,935,713,948,992,728,537,259,989,746,460,
040,647,248,224,469,674,946,327,243,751,115,924,521,381,748,739,994,024,906,
961,878,201,432,718,589,083,225,469,379,881,779,923,550,218,331,675,136,143,
444,536,569,851,904,165,526,963,963,466,689,233,669,484,634,343,439,266,565,
021,186,367,605,510,105,621,183,228,863,463,472,112,253,868,507,784,908,356,
193,580,315,337,929,664,980,904,876,515,200,377,189,175,314,728,159,839,934,
954,680,393,920,061,082,061,355,269,679,003,981,984,685,120,291,641,962,185,
552,601,068,486,068,905,641,988,918,101,536,590,997,874,653,204,501,843,919,
935,347,353,734,240,613,114,245,974,552,619,782,787,453,588,377,848,409,172,
510,439,735,746,326,221,961,527,361,872,619,416,640,179,098,993,399,037,589,
792,598,174,552,680,072,222,165,681,034,208,559,041,721,721,422,407,973,208,
572,078,944,828,006,824,133,291,733,205,922,374,536,619,721,817,306,844,354,
764,307,910,090,476,243,919,480,386,647,979,111,154,942,460,571,354,857,011,
716,999,448,841,894,310,295,957,291,962,517,620,606,283,679,430,114,024,396,
074,698,821,988,683,795,492,788,078,135,413,734,314,782,449,030,331,203,613,
180,871,035,105,436,169,546,461,978,105,711,322,054,567,793,604,020,498,270,
484,894,456,143,651,735,759,816,711,534,559,173,862,490,851,454,186,291,368,
270,034,424,010,381,928,815,310,004,890,162,058,655,321,157,515,366,862,833,
071,148,945,196,399,093,678,098,458,561,318,499,316,651,650,068,139,140,585,
339,339,538,250,147,773,430,425,814,025,081,366,923,464,265,323,498,062,288,
427,641,789,954,947,795,490,856,798,826,457,777,983,473,648,948,201,004,911,
041,415,187,770,224,493,231,397,111,526,339,673,977,041,433,578,861,315,100,
792,720,950,957,967,464,117,528,941,846,727,166,355,619,762,495,779,241,738,
661,174,920,113,279,269,240,762,214,631,313,522,953,061,379,708,085,961,984,
349,051,762,930,092,882,205,471,063,270,857,913,034,272,225,301,926,272,127,
930,217,752,832,607,945,644,901,224,169,034,012,788,187,798,227,723,299,254,
942,736,123,223,409,139,431,917,356,169,453,805,182,674,908,887,995,982,543,
527,407,501,662,692,552,585,846,874,382,255,738,344,469,904,926,328,507,487,
825,601,822,715,133,710,291,129,302,366,464,820,302,641,422,212,558,810,063,
427,854,052,295,374,000,571,344,094,207,345,198,505,226,514,557,574,857,511,
385,736,218,482,882,577,697,288,293,195,699,240,326,420,735,443,494,718,766,
186,059,905,257,303,880,047,785,843,188,802,390,838,975,686,569,869,579,672,
842,712,497,802,135,462,717,423,911,262,801,944,907,316,797,820,896,681,895,
864,856,032,445,678,526,694,586,085,941,357,247,398,857,588,370,593,216,163,
010,423,111,710,297,312,261,081,860,674,395,022,104,553,660,555,198,860,054,
957,975,878,193,638,309,349,828,398,708,123,564,884,837,772,957,849,953,504,
179,722,515,276,335,694,798,990,752,911,081,823,082,040,708,681,483,890,488,
671,293,085,555,863,145,936,454,388,535,164,061,226,033,904,650,440,078,773,
350,163,248,415,765,218,200,261,219,271,856,294,283,114,411,510,896,272,086,
130,789,878,346,037,752,404,108,356,259,724,865,316,210,461,091,673,910,331,
003,369,392,692,724,560,274,278,890,692,361,087,163,770,098,042,231,515,113,
533,642,743,688,891,484,278,839,406,838,750,370,404,710,047,393,579,711,816,
365,037,769,282,807,471,751,867,413,942,328,660,169,352,754,325,814,068,602,
199,805,035,182,083,393,652,112,877,528,334,186,688,654,105,924,147,839,865,
435,233,444,560,054,642,519,931,788,931,527,649,400,260,298,868,951,400,250,
385,386,534,252,493,800,052,133,844,693,932,041,480,489,500,377,737,873,450,
817,296,365,429,201,013,307,714,062,389,717,617,081,258,623,319,453,698,335,
091,902,501,440,379,625,200,711,744,764,534,233,512,308,794,722,432,702,518,
072,996,377,569,205,814,377,676,107,455,312,350,297,887,739,482,426,763,875,
992,937,230,961,244,081,343,506,292,738,565,669,340,701,520,467,601,113,013,
924,709,977,783,786,146,785,323,048,345,650,656,814,824,925,745,660,454,973,
225,021,074,486,854,992,456,234,381,791,312,070,720,358,996,413,743,202,788,
414,867,587,158,357,688,384,262,599,720,034,508,616,322,232,403,555,811,728,
244,726,219,380,369,312,098,986,667,223,405,206,496,262,781,505,504,797,715,
635,480,767,942,896,909,635,056,126,560,912,980,774,717,040,929,168,589,514,
643,520,288,947,173,923,690,459,502,851,922,188,436,663,038,808,975,595,809,
184,350,769,952,530,819,541,109,572,445,852,998,711,312,393,961,668,264,129,
390,756,689,356,852,285,545,554,280,983,457,696,534,876,094,979,556,771,938,
516,845,626,635,902,015,315,248,199,407,937,145,911,657,019,994,111,187,149,
583,809,022,281,095,889,485,944,765,870,325,407,880,157,577,954,517,761,626,
731,797,081,421,633,157,987,534,699,473,724,162,878,453,067,317,432,120,576,
288,043,408,013,731,399,395,324,203,488,145,158,615,641,844,294,956,916,480,
461,542,623,525,281,992,374,493,066,149,408,228,522,230,536,516,181,164,203,
865,074,990,170,592,071,528,214,401,088,736,098,138,650,290,511,756,754,075,
480,824,628,391,216,338,994,297,279,127,804,568,864,560,781,168,850,965,520,
058,632,284,717,598,957,924,932,976,608,283,645,291,781,069,935,265,656,597,
152,573,266,371,134,646,095,781,690,232,054,768,743,423,305,809,376,141,091,
570,139,951,990,607,562,449,349,656,739,271,562,647,679,127,379,162,619,896,
480,202,849,842,626,422,651,669,886,657,311,148,623,050,536,409,859,610,860,
442,312,874,264,852,379,877,009,325,499,826,378,379,621,620,599,766,372,187,
592,197,002,040,074,494,332,132,745,411,462,205,112,360,528,517,358,664,823,
215,291,771,854,955,423,052,429,743,075,334,751,988,242,795,803,743,580,333,
853,103,339,520,969,432,943,621,499,473,571,447,778,641,027,806,039,272,163,
730,146,069,844,731,259,924,019,102,533,662,378,742,609,258,599,805,056,248,
044,554,902,210,813,930,192,749,480,871,207,233,308,343,580,851,983,648,267,
817,124,277,905,968,539,944,161,235,533,844,425,475,842,037,092,428,353,197,
343,242,139,347,298,032,754,028,165,198,924,457,258,354,025,318,129,534,606,
347,604,866,058,698,100,592,958,466,729,767,917,691,474,783,028,603,948,747,
347,998,869,281,958,757,716,656,687,139,147,858,553,392,424,071,828,142,085,
190,092,434,561,238,838,386,813,723,101,665,161,612,905,909,552,239,177,297,
869,368,486,676,472,559,407,217,769,921,335,866,758,599,464,607,702,906,691,
597,315,038,639,692,118,264,806,959,075,789,150,269,106,791,812,129,603,809,
092,513,629,583,886,557,457,643,976,048,502,187,831,068,666,739,093,541,420,
929,852,606,251,005,818,254,711,572,950,151,244,060,131,461,069,835,693,610,
579,439,181,138,021,180,663,009,624,915,957,845,695,497,767,862,319,275,889,
074,298,360,600,379,723,655,865,960,882,037,933,256,624,876,656,884,514,320,
775,433,591,317,362,133,677,995,258,424,310,833,697,207,627,414,995,996,643,
230,880,144,061,322,063,746,905,898,299,904,591,512,268,183,592,177,678,810,
168,137,238,319,721,696,456,228,846,274,283,319,117,497,740,925,163,237,972,
981,616,874,601,948,729,544,533,498,317,567,321,480,962,997,921,467,174,475,
450,479,849,665,573,196,497,449,304,465,757,000,564,570,487,321,146,529,129,
051,181,170,706,951,709,453,394,963,413,034,714,562,332,997,488,036,976,847,
314,410,000,280,833,535,659,595,323,081,201,109,896,202,912,740,675,945,978,
657,460,619,431,809,252,224,358,449,524,234,710,607,931,146,975,204,555,584,
293,243,828,426,062,095,238,990,325,759,531,419,010,866,380,169,467,382,558,
102,667,561,277,370,470,055,222,765,730,065,198,895,228,677,062,034,768,366,
168,517,085,978,049,810,911,339,030,538,930,615,721,480,778,437,802,745,944,
515,025,908,971,681,609,262,612,507,281,594,454,138,958,013,466,067,458,599,
112,801,851,477,829,712,158,169,078,104,379,763,646,025,841,734,636,063,647,
175,936,876,327,634,596,789,826,884,486,762,844,892,857,619,777,838,546,206,
093,225,926,122,076,060,079,006,673,838,935,109,365,659,215,509,088,631,367,
549,053,885,478,522,561,227,958,596,630,088,679,165,729,218,422,424,920,651,
804,734,181,073,914,676,581,958,674,435,307,435,325,975,653,799,504,531,483,
044,199,574,704,189,415,850,506,439,051,756,610,796,687,456,361,846,495,809,
827,292,034,005,450,744,941,090,393,330,682,188,386,902,556,913,069,302,027,
407,265,253,021,112,240,073,777,871,881,390,003,505,322,164,653,825,676,071,
547,293,689,239,745,997,179,470,481,925,420,209,197,053,160,293,869,444,000,
968,776,911,646,195,819,927,126,439,973,176,597,678,732,095,369,386,061,069,
342,675,487,556,743,246,774,333,632,512,751,523,746,459,930,632,403,593,168,
932,821,192,271,411,397,247,782,674,246,369,888,006,139,808,784,534,391,801,
139,267,124,812,887,045,546,827,267,828,648,187,406,167,697,818,205,663,216,
615,729,730,455,051,596,202,118,359,882,850,468,170,115,017,689,573,846,227,
063,136,155,886,895,929,601,154,577,463,781,148,671,139,285,554,234,296,643,
496,036,714,563,541,872,551,891,384,845,433,892,285,859,664,650,072,726,695,
274,191,885,997,020,785,490,565,548,875,394,344,209,392,691,601,346,268,209,
890,020,895,827,370,684,956,611,681,361,220,959,050,701,780,690,651,183,077,
299,101,495,221,631,497,257,122,947,209,988,001,180,345,928,790,132,271,696,
405,825,684,119,526,305,550,530,086,939,896,099,191,963,553,093,104,874,990,
872,088,614,836,547,436,891,069,196,345,692,761,781,831,375,508,904,681,877,
419,129,322,501,689,779,939,146,447,470,691,325,473,853,943,737,185,096,520,
398,173,166,852,407,000,715,084,707,370,260,409,189,953,455,457,225,094,394,
945,096,880,216,745,813,400,100,459,203,724,759,830,823,828,958,528,365,560,
344,298,489,157,477,167,437,612,126,187,376,197,026,964,345,681,149,090,086,
123,662,442,156,165,614,094,366,097,765,065,101,373,185,591,175,882,993,989,
190,649,549,004,692,343,615,832,908,549,591,351,349,569,746,033,594,478,982,
155,167,293,963,766,513,304,029,384,357,081,427,373,544,246,856,697,137,892,
508,336,686,807,587,287,111,844,622,099,348,718,929,238,989,285,429,153,799,
322,627,498,461,587,320,237,712,760,499,193,444,121,777,943,917,230,975,073,
047,901,110,439,738,811,279,591,757,737,975,420,343,488,235,086,228,604,227,
451,945,822,185,729,169,370,923,707,654,252,568,205,612,740,045,601,995,210,
379,305,061,514,488,974,986,216,988,009,272,897,570,382,216,268,464,287,059,
955,446,187,269,618,407,840,303,419,345,495,772,485,424,658,367,623,026,403,
545,214,144,253,605,716,847,636,375,115,901,031,528,658,488,278,359,244,298,
877,654,653,336,069,800,934,219,291,507,973,707,743,369,359,484,307,567,213,
427,338,575,325,712,068,301,363,236,196,074,821,370,921,353,443,573,064,957,
187,377,273,851,204,992,549,801,516,167,142,553,996,642,351,900,466,802,966,
324,264,918,609,190,165,489,186,215,548,273,004,272,898,663,074,595,955,966,
131,919,709,993,181,207,956,559,348,038,657,545,788,766,336,708,201,750,894,
714,676,658,373,307,225,191,309,556,579,964,325,994,401,611,609,358,069,111,
666,498,649,274,014,698,461,936,438,791,767,408,739,930,233,067,535,160,495,
512,384,043,232,897,754,997,968,749,066,477,605,130,642,868,548,128,193,477,
303,862,527,505,386,174,646,332,301,415,677,011,584,677,629,747,350,680,298,
068,278,348,534,360,124,220,272,088,405,737,991,680,725,838,549,970,984,308,
405,913,266,039,733,937,634,262,975,293,559,160,665,429,942,250,605,542,438,
906,947,881,109,147,498,898,757,325,944,104,410,637,005,922,574,215,805,340,
083,945,261,670,241,637,886,837,802,009,431,681,912,507,650,314,691,510,602,
631,444,484,649,995,080,251,505,809,918,628,717,987,022,400,572,315,493,686,
357,357,647,491,081,168,787,227,688,086,057,866,298,150,890,267,734,469,569,
309,135,149,451,276,862,101,325,939,537,551,026,853,294,088,273,007,659,528,
424,767,888,713,376,886,849,324,645,778,475,156,822,840,048,325,723,961,235,
450,994,099,542,141,591,203,401,907,712,870,895,261,201,218,938,741,234,164,
551,352,222,277,753,061,316,581,870,094,735,561,684,494,549,161,275,963,157,
881,693,171,897,347,070,070,583,893,935,817,856,192,028,139,995,855,672,783,
292,810,307,555,431,267,614,350,850,808,860,716,137,474,255,630,983,659,921,
124,550,568,841,845,198,659,984,442,020,649,873,467,860,796,665,912,414,857,
507,302,021,045,629,571,535,419,393,709,021,247,809,962,678,359,625,229,010,
440,473,140,879,260,875,835,620,826,694,612,964,452,909,291,587,661,092,266,
843,136,555,168,218,455,403,888,282,404,761,311,569,856,301,410,507,166,939,
090,487,492,549,358,174,226,310,479,451,679,082,838,424,269,886,943,937,320,
065,943,389,878,462,266,159,912,185,037,770,344,034,067,905,311,410,483,227,
078,508,361,632,801,783,073,151,994,253,178,584,469,613,022,355,366,287,959,
467,025,053,137,655,515,235,043,112,827,445,967,843,987,344,428,165,343,556,
883,138,905,372,754,744,589,111,662,155,249,980,984,196,222,739,433,873,334,
140,415,170,776,754,872,912,984,918,541,286,218,779,605,536,687,569,668,591,
809,973,242,018,925,064,199,467,054,208,846,289,103,630,722,588,987,061,351,
861,305,731,732,557,643,365,349,759,496,623,335,674,807,343,968,183,196,882,
890,683,999,151,963,579,440,446,940,671,079,658,217,617,629,428,919,607,891,
727,743,438,015,984,873,171,277,956,812,564,230,992,248,382,528,042,473,135,
714,582,752,765,949,375,801,148,686,257,757,392,713,367,301,456,162,820,287,
816,625,130,831,976,616,034,516,165,877,686,664,213,641,934,511,723,312,962,
125,455,642,236,888,148,977,295,239,687,817,811,654,275,071,720,830,683,055,
400,768,702,685,236,861,433,386,959,427,435,391,754,444,315,409,935,725,254,
369,560,281,911,834,941,337,858,951,699,578,789,208,662,387,519,407,783,454,
905,234,047,098,841,235,407,748,292,695,838,498,910,303,063,235,707,316,552,
931,124,666,368,205,097,966,149,840,436,280,200,901,483,445,219,405,724,123,
275,023,016,331,050,103,916,200,853,287,377,381,297,528,010,504,774,484,918,
635,272,413,046,556,961,514,506,149,073,281,934,303,221,569,187,596,129,471,
674,278,786,047,398,960,549,133,482,153,202,279,530,302,402,437,186,421,232,
866,426,113,311,219,731,561,083,623,419,656,683,340,463,380,399,111,006,062,
610,724,920,577,360,207,815,263,858,486,398,377,296,180,019,508,196,123,984,
946,756,835,212,680,106,159,537,696,477,852,077,062,570,452,906,489,963,934,
160,778,409,649,411,421,790,671,195,043,001,916,750,801,464,222,746,873,284,
505,603,584,501,029,129,625,756,137,245,769,247,126,016,719,659,483,493,280,
837,179,556,372,914,362,127,007,058,094,069,856,583,682,785,440,154,740,901,
540,216,127,018,678,634,724,501,050,728,748,025,226,586,479,435,763,784,692,
409,831,882,490,100,473,349,082,993,413,240,712,557,483,717,154,826,536,065,
452,891,956,280,225,062,433,191,962,434,852,040,822,642,296,046,076,745,147,
294,589,194,684,226,024,431,045,660,354,086,352,415,112,169,903,814,080,434,
570,022,263,663,662,194,105,890,131,334,892,230,261,542,332,430,756,721,008,
305,888,846,622,996,172,493,430,601,956,404,470,051,525,363,559,475,329,699,
528,734,142,875,874,492,010,569,131,975,099,689,319,392,406,380,147,645,311,
012,963,304,161,058,130,940,740,138,724,191,735,369,661,716,304,738,007,048,
955,013,604,309,275,334,710,530,531,804,065,335,862,633,221,854,412,219,843,
064,057,415,981,956,526,288,161,246,563,038,613,817,494,463,748,867,615,128,
398,991,250,702,839,281,772,564,116,573,673,195,156,765,280,133,523,504,306,
052,998,966,144,972,805,379,754,471,468,823,807,569,748,460,412,729,453,825,
549,502,730,398,734,993,728,230,989,958,599,359,676,249,304,650,406,873,435,
780,938,443,473,509,222,167,592,560,553,352,367,886,166,953,726,826,441,632,
821,519,939,906,177,283,618,559,560,088,564,049,130,940,531,923,626,512,156,
477,699,494,474,572,445,188,257,543,177,392,811,907,414,190,642,445,668,749,
556,283,555,127,556,437,923,710,663,311,989,164,249,890,088,066,906,969,921,
648,330,725,160,250,281,223,752,783,667,989,506,093,366,354,946,457,243,224,
778,420,500,286,753,249,955,552,127,119,245,324,465,421,695,842,822,777,521,
536,222,457,510,205,558,891,307,135,627,572,246,599,698,955,189,446,014,132,
510,837,033,936,690,202,506,737,325,386,271,995,291,370,268,908,361,393,492,
167,700,391,981,770,648,188,374,357,039,815,806,917,670,396,711,577,444,317,
638,166,052,950,188,671,633,885,611,550,571,843,702,751,710,015,894,780,739,
148,220,892,150,647,250,587,246,954,288,909,042,750,308,213,761,576,449,229,
091,784,772,070,323,847,462,489,118,166,759,826,258,958,096,703,236,002,348,
701,720,718,726,719,350,042,298,354,972,071,815,040,555,854,034,215,264,578,
573,840,563,610,340,336,242,592,728,830,697,606,740,828,556,882,532,497,692,
181,566,830,099,139,628,621,054,291,055,445,362,640,641,610,200,754,289,732,
494,337,501,049,859,718,894,707,256,733,695,254,042,068,718,651,025,237,847,
741,320,475,085,548,925,027,306,418,993,814,154,995,373,365,478,422,606,896,
934,033,070,490,765,151,695,086,677,815,745,093,474,879,267,208,094,406,612,
205,810,856,701,301,636,197,659,975,079,246,520,348,343,057,822,326,829,420,
535,060,874,808,734,278,922,958,953,662,827,032,615,647,667,314,487,221,976,
894,136,608,238,510,804,627,433,048,560,580,035,017,814,112,662,730,993,098,
895,507,685,985,948,535,470,765,357,167,905,275,293,110,058,342,306,441,981,
557,916,796,829,291,917,924,891,482,799,643,209,430,620,580,088,401,694,785,
653,781,293,287,224,959,430,841,347,276,016,839,737,880,646,052,417,226,396,
769,498,683,363,878,800,389,449,756,564,349,034,059,735,525,158,721,867,465,
143,774,191,300,264,330,425,618,788,286,234,508,013,744,178,829,232,798,973,
626,465,987,907,852,015,936,944,399,740,371,116,806,319,729,950,980,427,812,
207,677,566,578,068,872,932,862,885,488,495,787,496,055,948,001,938,591,296,
660,514,288,149,784,216,959,650,281,997,562,865,986,505,403,896,432,091,365,
286,371,229,204,023,013,250,598,506,920,449,245,797,537,651,631,521,295,628,
966,926,424,988,637,486,840,731,337,310,397,816,156,049,000,134,924,759,566,
870,653,875,641,006,312,886,377,071,674,851,087,726,023,559,174,281,304,551,
620,072,502,938,982,234,874,854,502,590,400,387,930,215,109,665,330,106,881,
481,769,572,727,963,703,845,876,930,756,377,921,170,591,298,159,461,470,326,
348,746,109,283,256,263,143,301,474,140,756,441,716,046,594,445,445,981,588,
150,651,514,574,946,157,687,054,729,407,029,627,366,143,548,398,759,951,200,
947,006,134,353,248,513,985,210,226,838,692,226,258,424,644,963,933,410,263,
233,588,858,050,390,766,712,200,189,069,435,221,487,759,850,001,530,235,104,
397,455,296,264,878,717,114,607,810,265,082,510,406,625,899,118,991,728,679,
634,897,570,803,239,164,312,574,331,394,091,696,646,434,104,894,675,239,491,
944,127,866,344,357,637,802,766,402,392,275,687,026,924,662,243,515,923,995,
505,222,680,840,691,453,192,319,234,259,782,957,710,140,945,312,935,532,405,
151,528,567,143,341,061,705,672,447,256,356,901,941,701,830,543,651,146,651,
697,133,561,190,414,466,155,757,416,382,472,211,195,860,254,761,822,098,037,
962,251,544,896,818,198,744,536,225,943,677,700,826,079,113,579,900,099,026,
209,874,534,075,454,290,197,533,232,663,835,842,845,697,642,350,675,351,875,
555,175,499,440,701,627,295,186,068,369,146,792,377,491,373,952,976,728,354,
986,646,298,817,198,991,487,274,206,323,250,687,649,220,306,027,015,283,983,
411,521,522,846,415,403,010,443,435,009,907,032,477,658,528,609,192,268,234,
020,159,790,000,718,311,462,388,219,045,351,822,360,770,585,525,747,764,688,
927,878,516,304,618,545,713,335,332,033,208,717,872,881,244,804,253,942,412,
630,746,411,323,374,329,883,272,025,666,695,619,758,076,191,591,027,028,989,
832,439,748,946,994,686,923,030,002,011,648,529,087,182,945,988,242,398,448,
068,916,321,295,295,173,964,710,397,216,384,337,949,413,481,064,199,873,328,
607,595,364,609,894,113,889,901,908,348,530,768,949,958,539,177,485,068,847,
267,351,706,815,617,368,992,823,772,110,462,223,724,557,236,646,383,464,840,
983,377,328,918,110,463,484,207,044,832,316,806,156,877,440,987,457,349,129,
858,254,660,814,069,229,410,814,407,706,338,142,886,682,358,150,931,354,091,
486,836,133,401,813,534,818,095,113,798,839,812,720,633,969,393,781,092,112,
765,512,833,459,292,796,146,605,997,599,777,438,858,306,090,988,425,255,948,
291,407,490,505,323,908,890,393,366,625,363,340,177,757,133,501,325,193,786,
216,371,038,776,654,573,283,363,476,408,422,770,676,143,430,096,461,422,813,
695,067,992,439,995,597,878,462,588,721,961,253,993,296,836,932,459,261,742,
295,963,755,829,492,681,661,980,388,290,249,089,130,836,032,240,078,380,626,
127,357,592,622,442,107,504,244,847,910,437,751,244,141,534,525,308,409,851,
104,479,912,177,720,346,258,658,350,405,626,934,384,542,644,664,007,073,457,
664,275,657,136,923,871,117,052,688,728,580,931,554,990,895,861,690,744,165,
438,938,541,068,352,886,686,925,991,162,399,259,067,311,172,085,642,195,882,
932,961,965,632,950,756,796,154,862,413,329,141,434,098,736,607,689,714,490,
106,351,345,767,323,008,919,121,496,064,035,264,178,106,317,121,781,659,726,
737,647,602,117,706,512,369,058,971,652,552,045,646,379,824,291,290,026,560,
364,364,000,828,730,073,652,421,020,960,353,096,020,050,013,550,075,380,192,
793,581,103,754,507,999,322,481,717,606,560,591,494,172,001,618,031,409,721,
885,370,721,886,992,335,474,211,622,347,262,614,144,591,889,924,013,369,304,
770,534,102,301,747,995,102,624,431,722,096,071,587,988,083,894,160,561,551,
615,821,376,386,917,462,045,056,405,238,969,371,653,621,927,416,170,215,949,
202,758,856,280,979,993,157,992,518,110,949,771,800,540,913,951,252,374,557,
090,508,903,417,763,338,370,954,289,528,072,704,507,954,648,454,741,399,436,
846,082,443,198,762,350,162,427,117,529,944,676,736,274,262,669,200,701,256,
352,361,542,067,783,361,061,888,949,614,222,757,040,791,357,637,173,231,618,
524,853,005,638,372,559,741,988,687,311,036,192,937,253,697,740,347,309,324,
802,314,868,098,987,680,200,067,239,061,705,123,312,344,466,896,297,810,098,
443,113,234,084,359,063,247,550,386,938,489,664,376,119,546,527,965,001,958,
593,548,467,416,707,465,868,309,365,148,530,879,525,914,962,183,421,389,512,
410,452,972,346,433,015,190,023,596,173,682,814,962,755,310,441,992,958,075,
913,744,807,736,793,691,240,221,978,186,970,324,875,489,170,559,130,505,738,
999,558,545,606,348,234,079,345,583,086,568,049,769,042,971,316,792,142,914,
968,382,841,475,835,472,709,039,743,033,553,340,843,219,326,458,941,999,845,
542,513,100,443,135,299,577,987,165,924,070,152,088,053,122,632,086,167,896,
371,400,462,220,842,446,582,305,313,014,085,314,873,759,135,687,488,534,118,
117,203,406,874,413,938,805,954,669,837,106,384,084,975,179,084,694,655,780,
952,723,766,846,268,326,918,287,337,422,485,977,580,922,131,511,120,960,431,
351,701,009,574,564,850,099,897,058,138,420,064,015,670,248,372,338,625,291,
431,339,823,939,576,881,001,087,200,450,924,809,897,945,022,198,434,211,719,
273,716,379,184,125,441,179,041,796,824,209,704,324,041,923,725,154,859,657,
931,517,636,308,821,649,294,376,230,044,518,103,270,797,390,610,881,962,417,
390,405,049,392,630,813,429,097,744,366,894,690,015,430,745,446,436,089,844,
615,754,379,665,712,634,645,295,629,262,051,110,781,793,729,954,065,010,930,
946,337,635,480,786,958,667,460,939,054,030,300,315,444,380,282,731,670,898,
882,568,688,190,225,001,439,332,596,681,980,088,612,112,619,490,851,842,517,
661,012,696,921,386,281,702,496,044,005,470,178,241,307,855,524,074,857,869,
485,169,041,209,128,718,419,726,128,426,918,828,694,065,804,348,138,131,065,
530,924,029,361,136,470,428,699,082,987,680,113,532,489,013,215,061,739,596,
609,683,677,440,522,684,745,841,217,638,443,572,604,021,947,539,828,562,171,
212,238,604,909,631,549,949,726,842,002,840,371,791,066,937,629,552,337,148,
222,741,300,690,457,430,681,712,487,873,440,701,982,408,949,482,513,467,354,
567,623,077,852,265,636,767,372,045,489,664,149,854,461,856,109,986,483,084,
448,551,258,909,760,201,471,647,142,484,819,523,331,562,138,328,647,615,195,
980,991,977,199,854,312,611,479,559,548,063,148,224,433,361,473,994,497,150,
266,552,574,716,555,664,717,614,989,408,181,021,232,806,730,901,398,120,122,
825,839,662,286,387,672,885,825,764,823,385,494,792,153,675,337,924,209,175,
817,332,705,075,485,390,137,709,260,344,678,045,720,656,841,640,940,867,997,
364,113,301,530,425,275,093,119,595,158,248,126,725,497,599,764,189,921,385,
012,095,586,844,627,030,703,578,835,123,519,494,702,522,392,288,719,311,521,
750,724,724,580,997,513,226,088,005,184,293,599,741,174,091,448,437,974,850,
189,131,013,667,075,877,119,669,064,387,422,009,530,162,534,831,256,847,160,
772,947,280,791,904,209,321,287,198,543,963,861,805,645,767,834,583,324,621,
897,681,407,909,072,849,678,215,729,591,311,955,878,528,171,196,704,578,908,
231,015,314,642,892,059,584,905,699,726,229,137,812,928,442,713,192,452,941,
816,652,739,143,066,866,969,035,448,065,030,778,391,888,650,785,965,060,436,
111,807,250,143,904,846,884,023,157,990,931,636,874,196,646,864,810,179,089,
806,913,280,984,199,829,687,835,784,840,496,102,006,032,621,045,322,523,298,
383,830,502,701,274,164,486,826,335,318,374,061,619,433,295,742,574,001,971,
483,744,801,413,298,678,355,179,079,107,720,000,483,736,721,409,494,002,240,
341,695,686,822,655,522,996,504,529,065,399,013,773,606,758,594,459,752,924,
962,337,488,592,689,105,294,496,924,826,517,706,206,195,007,842,917,057,290,
482,795,364,732,525,765,095,902,222,611,174,361,876,105,732,920,342,231,612,
088,102,479,652,115,964,504,328,151,099,407,315,338,502,934,420,540,757,115,
560,853,823,123,734,538,389,474,576,540,417,644,633,583,402,572,987,465,411,
938,147,741,184,996,729,380,679,670,840,311,090,677,237,764,937,172,291,950,
137,116,094,271,890,492,156,358,417,321,817,547,546,347,641,843,708,779,429,
516,615,320,780,916,256,835,139,290,803,430,095,072,729,665,737,576,234,345,
120,067,494,435,073,508,116,535,292,848,882,277,653,014,792,591,849,988,231,
444,102,242,222,281,941,293,594,432,087,772,808,190,450,119,348,133,098,217,
068,802,611,130,186,421,192,624,944,081,323,466,952,924,720,241,032,370,466,
572,451,305,374,257,561,209,600,549,691,603,381,229,252,236,531,613,553,669,
849,665,119,395,682,466,793,273,087,774,561,125,144,435,095,104,596,903,319,
390,210,908,255,601,890,346,107,614,922,248,643,087,067,620,540,170,806,648,
137,959,923,348,183,948,731,728,044,854,014,155,409,809,209,580,144,636,169,
167,839,328,370,795,140,835,495,764,103,133,919,373,368,411,587,541,539,475,
097,533,245,254,153,221,847,361,130,492,872,156,626,628,224,996,864,259,190,
285,826,172,486,588,555,678,249,221,360,719,249,210,493,583,201,491,617,194,
330,067,731,556,323,642,363,762,044,829,627,755,157,009,019,813,835,094,249,
531,156,541,429,250,590,802,597,542,325,859,784,953,651,175,608,604,030,584,
753,336,655,007,032,575,866,272,668,803,840,424,637,681,579,001,132,498,398,
849,917,838,860,370,256,726,787,499,569,480,691,399,124,140,158,828,936,765,
996,145,104,744,237,244,079,130,160,475,304,925,819,947,272,308,888,525,780,
192,106,993,962,353,060,678,753,264,824,187,486,744,529,682,775,381,236,510,
739,050,883,133,737,649,831,278,663,954,364,264,278,816,978,181,664,988,526,
056,793,883,759,127,574,513,499,675,271,075,808,026,664,169,650,893,809,338,
023,590,515,309,212,642,351,006,228,056,229,122,910,539,869,657,547,672,204,
019,342,870,467,096,390,240,511,452,850,140,991,372,827,463,771,820,853,121,
655,199,460,266,859,213,159,676,033,036,306,870,169,587,678,852,142,563,139,
114,867,391,460,058,401,973,838,999,022,107,899,951,841,105,697,583,974,436,
306,524,934,588,063,564,073,992,007,227,315,266,288,170,036,689,777,587,842,
770,715,848,672,292,378,015,671,405,336,136,681,166,031,044,680,194,045,391,
798,539,037,886,790,095,679,540,354,273,802,401,671,872,271,839,584,724,514,
178,777,073,802,445,467,415,039,266,858,223,526,606,755,489,598,421,255,373,
501,857,884,243,984,043,621,181,729,386,363,492,119,659,748,624,189,101,162,
937,586,699,084,428,955,443,282,373,724,010,167,648,534,133,608,954,022,763,
685,404,365,182,071,036,644,303,109,855,316,748,478,347,036,793,612,095,040,
434,062,426,313,468,860,623,632,230,657,450,108,047,650,316,066,331,836,678,
550,321,843,037,801,747,767,976,873,748,189,054,700,353,928,763,808,271,838,
056,556,336,509,030,759,732,198,924,748,973,121,436,252,663,406,559,600,465,
271,445,891,748,982,100,414,784,343,905,033,100,240,190,038,484,105,694,285,
663,822,565,916,265,090,447,461,931,913,978,606,403,740,116,426,778,059,472,
364,275,316,940,003,881,675,120,745,185,044,117,308,857,913,236,385,537,388,
694,594,232,180,254,867,430,241,379,982,373,388,557,519,131,354,555,308,328,
836,981,768,507,181,679,100,471,124,896,278,445,274,798,560,111,438,081,045,
941,668,462,731,941,517,323,507,371,175,003,557,913,357,348,036,336,800,960,
639,057,044,752,979,232,264,674,461,788,399,357,631,573,018,046,301,322,488,
864,171,818,275,379,989,967,526,442,390,839,720,342,301,121,967,136,835,812,
390,776,724,067,118,815,892,144,463,503,601,174,317,438,349,315,131,574,574,
180,224,565,965,290,495,874,118,623,044,811,758,331,955,071,957,156,005,539,
552,711,213,418,776,628,878,574,910,173,939,390,495,018,496,269,957,390,289,
083,557,044,831,427,846,316,373,191,117,900,766,491,776,706,041,953,759,807,
709,753,255,271,448,927,356,768,305,395,916,786,940,905,212,498,879,438,107,
294,671,578,896,702,238,824,171,357,509,044,246,577,778,895,959,093,807,377,
626,773,389,508,341,631,171,326,953,640,757,757,703,168,562,459,486,463,035,
304,045,511,128,031,667,185,148,841,405,354,187,068,217,075,003,382,099,604,
149,588,648,469,796,234,756,871,272,752,738,426,899,668,374,132,638,380,217,
056,483,289,443,008,386,298,133,711,449,277,484,072,368,308,892,320,210,542,
501,456,486,781,266,583,752,956,649,239,049,423,395,418,159,125,811,917,642,
324,461,541,298,837,783,641,975,355,308,895,687,999,255,328,727,161,802,625,
675,202,464,709,449,456,261,642,870,166,142,277,906,416,306,788,928,894,767,
222,248,996,978,561,557,882,416,330,955,767,029,378,017,950,801,600,396,382,
809,234,802,039,566,899,597,726,870,830,128,703,937,274,088,400,496,698,153,
245,174,246,495,501,889,604,712,748,166,787,957,758,534,487,155,520,070,823,
295,503,849,142,223,441,697,078,914,702,730,986,246,578,463,234,511,078,695,
817,661,452,925,153,489,848,958,240,923,394,202,876,752,507,951,826,281,674,
349,827,879,136,054,096,013,328,754,069,462,956,565,343,589,906,901,751,772,
888,502,129,609,487,293,010,119,722,154,372,733,751,748,307,532,317,175,364,
941,037,987,797,134,452,179,997,517,651,608,279,725,237,383,692,963,004,567,
594,869,433,514,448,276,569,428,204,944,998,819,291,976,765,700,059,948,618,
174,064,942,926,954,719,535,975,228,573,902,587,524,287,097,652,865,201,448,
289,010,037,706,675,899,560,452,413,988,934,405,118,162,450,123,305,605,963,
728,468,600,953,191,358,885,198,960,400,221,641,557,421,232,845,023,489,956,
451,504,714,346,101,064,091,241,609,687,231,616,991,335,835,773,423,868,292,
857,332,522,630,134,175,120,498,160,934,879,530,748,649,904,640,495,103,096,
461,785,137,655,941,003,217,112,808,431,302,191,396,841,480,675,940,490,567,
697,041,191,564,686,909,285,187,046,119,118,459,772,107,981,964,779,581,577,
299,071,599,380,363,164,001,101,547,181,214,982,307,916,527,331,900,101,818,
801,790,999,146,161,148,243,299,460,086,074,905,925,216,302,793,788,013,427,
077,507,183,123,242,492,763,890,266,117,193,189,896,726,235,302,506,678,559,
502,371,561,222,601,712,629,830,358,208,942,064,552,333,264,181,342,359,753,
473,380,045,018,045,661,476,628,198,471,026,547,157,244,868,629,040,052,497,
741,401,512,984,550,639,497,614,191,940,992,618,390,283,347,037,427,009,197,
428,265,862,123,763,678,933,251,032,357,376,543,558,269,487,930,736,041,702,
464,980,102,236,955,773,779,535,016,913,274,875,931,594,353,335,194,551,843,
582,889,022,444,969,502,178,012,814,897,551,130,654,474,061,816,725,127,570,
888,930,110,794,988,312,687,089,816,922,182,908,456,019,445,409,288,615,494,
146,523,297,947,517,457,886,691,927,767,844,758,407,841,712,702,130,344,038,
985,190,079,837,578,922,118,829,664,355,685,596,219,531,313,316,249,617,111,
515,925,015,241,526,032,189,618,093,653,815,324,857,337,105,910,072,435,972,
074,228,657,468,736,346,368,973,201,053,198,302,305,302,598,900,080,613,137,
924,626,317,478,619,844,541,378,924,036,002,750,439,094,415,342,536,378,367,
876,917,148,642,368,657,454,354,761,001,111,114,703,750,003,991,430,574,298,
068,429,934,368,192,908,453,844,656,313,234,718,271,277,674,185,799,198,545,
339,618,760,798,998,106,875,748,233,812,625,524,966,537,265,973,191,169,460,
424,298,249,073,799,242,792,368,146,244,753,810,184,231,948,819,044,642,450,
043,649,396,566,682,787,776,972,045,809,839,795,019,533,222,139,163,902,652,
532,110,038,359,911,960,780,232,811,054,962,322,951,586,030,414,607,966,773,
998,409,504,357,168,688,634,830,496,037,302,701,997,134,399,726,430,851,549,
190,745,205,141,811,162,884,105,897,957,417,050,613,449,634,849,937,414,161,
897,676,147,611,827,575,851,604,352,121,170,231,832,804,654,692,964,741,235,
883,684,401,059,949,523,094,774,935,473,011,600,414,024,674,858,670,087,480,
401,203,047,405,734,138,473,896,231,636,006,788,859,722,821,024,016,195,920,
175,554,354,089,615,842,293,503,764,401,052,597,006,231,767,001,010,934,585,
405,761,357,262,856,685,238,404,149,257,460,657,959,343,901,740,726,439,023,
502,176,065,626,014,578,240,125,974,892,035,159,689,280,149,888,300,943,257,
628,907,550,393,814,338,460,607,801,190,581,875,945,769,536,014,774,691,988,
144,417,633,323,334,298,209,477,535,850,832,855,141,013,033,779,422,876,500,
670,384,925,937,924,909,073,487,345,595,434,414,747,531,071,740,834,583,659,
188,527,179,185,627,903,060,528,562,134,814,146,930,224,620,526,273,658,135,
917,815,965,481,389,925,310,362,642,280,518,112,529,423,657,160,199,068,583,
733,312,943,885,023,595,590,757,449,841,298,606,791,609,818,738,530,322,955,
435,150,479,452,121,508,585,674,511,768,693,150,591,037,144,507,176,502,032,
617,701,778,269,664,608,978,444,177,607,082,616,125,460,971,549,175,487,317,
884,625,318,824,930,155,747,378,362,121,088,560,869,328,167,793,573,898,847,
928,001,027,213,503,381,100,652,528,160,473,869,839,239,010,347,211,928,883,
016,545,026,770,047,493,611,882,527,382,648,150,990,282,731,897,341,818,597,
306,438,215,924,571,816,740,773,378,253,699,696,035,541,928,478,343,304,327,
695,647,808,846,280,779,002,102,472,064,770,158,524,639,862,413,400,452,626,
329,600,175,340,383,171,257,881,396,938,248,720,267,248,339,707,482,215,130,
484,093,479,239,180,665,322,440,107,187,385,037,871,818,019,725,775,474,680,
232,502,377,701,030,653,452,830,333,636,097,472,486,773,229,404,854,956,198,
698,761,860,125,724,860,106,495,002,438,989,298,592,996,009,317,295,534,433,
507,724,447,989,285,758,174,726,449,579,019,306,997,645,897,373,388,832,027,
798,117,673,477,171,094,501,779,998,127,104,132,968,431,683,503,115,343,236,
522,553,218,739,739,339,802,507,007,587,848,334,664,481,942,698,540,082,172,
167,160,192,772,929,750,019,234,265,457,328,498,288,625,296,767,253,334,294,
880,269,614,954,954,769,912,406,584,774,545,067,189,284,538,345,959,195,601,
954,823,574,114,346,187,492,564,450,848,001,778,610,004,414,060,474,012,323,
471,966,237,701,480,908,984,425,254,589,456,481,550,499,521,511,702,393,352,
025,616,352,718,119,309,635,594,767,191,547,810,262,529,569,123,559,018,526,
215,114,713,067,940,489,841,196,701,266,339,894,554,082,669,070,784,390,866,
353,978,048,561,368,464,704,507,559,569,798,006,468,221,974,044,208,783,230,
772,108,281,887,111,989,412,359,939,668,635,119,947,958,429,793,876,043,752,
539,057,364,373,238,305,502,436,827,666,070,795,660,015,991,178,230,111,057,
879,353,300,381,680,632,669,821,564,443,163,431,327,742,575,295,635,199,986,
687,020,217,667,462,970,519,571,450,741,673,715,532,425,256,092,042,198,176,
271,817,646,070,822,783,282,524,182,803,595,730,918,255,169,749,140,090,375,
584,940,749,289,742,864,085,461,263,781,683,844,620,454,113,064,115,522,524,
308,110,769,976,938,211,012,636,726,661,963,751,693,394,910,576,884,055,983,
028,537,025,121,905,356,720,437,077,762,772,553,763,672,046,685,913,531,237,
610,292,155,086,837,058,961,766,984,888,071,902,276,083,565,741,605,852,576,
075,991,559,067,993,561,612,965,789,399,978,957,802,321,867,050,944,597,589,
249,690,377,353,588,313,219,968,721,314,482,588,741,150,670,847,403,907,943,
840,476,245,989,417,467,747,012,040,407,488,407,268,599,483,782,742,098,687,
701,740,122,278,424,932,527,200,950,028,175,406,076,373,657,858,595,896,374,
126,716,456,738,231,497,705,138,559,751,668,209,034,246,675,694,793,060,361,
955,880,863,947,013,851,912,645,722,053,977,940,022,244,768,218,702,042,687,
194,560,066,121,612,264,977,700,573,265,744,449,370,284,094,821,609,287,246,
048,622,460,448,560,655,430,308,749,970,074,713,486,117,311,548,611,784,817,
446,762,386,593,919,181,957,423,669,480,612,860,661,574,537,346,022,100,470,
148,455,310,402,005,754,240,986,386,239,763,974,780,725,061,648,973,841,079,
508,918,049,449,279,918,494,074,928,199,534,554,524,947,642,083,704,457,694,
987,974,296,955,790,084,944,262,445,126,812,636,487,146,727,376,480,072,008,
562,950,179,747,220,271,611,924,393,581,056,865,537,935,366,069,917,329,276,
520,239,218,970,299,847,796,587,562,038,685,563,830,100,215,327,238,149,700,
820,496,571,683,997,119,454,090,781,272,648,737,798,220,121,976,121,962,637,
209,900,213,376,921,825,709,905,288,191,495,628,038,615,664,403,157,897,873,
933,385,424,227,510,750,481,212,983,716,873,841,103,092,480,203,873,522,879,
643,724,769,706,249,951,225,643,246,633,483,687,784,257,917,838,318,881,345,
863,304,646,737,112,433,971,330,159,860,563,086,161,655,594,694,677,688,355,
244,580,336,778,283,554,877,417,717,863,216,987,264,082,683,136,684,887,832,
502,198,375,696,598,863,057,723,810,715,040,610,961,304,841,118,537,705,494,
285,628,395,048,514,697,732,344,230,663,007,598,641,438,872,552,082,020,112,
157,371,860,828,269,786,831,785,799,765,953,727,168,464,015,079,896,323,464,
369,052,749,489,692,670,916,420,852,294,290,370,436,735,468,011,711,647,686,
651,646,991,865,498,086,060,410,945,297,943,048,723,865,975,219,118,273,776,
193,668,963,091,300,378,946,359,545,593,456,297,236,383,281,008,342,772,323,
505,894,142,881,440,999,896,271,781,014,267,375,983,799,676,815,378,124,745,
417,596,809,485,997,661,218,911,317,150,372,863,274,580,409,021,070,144,323,
680,344,798,855,723,931,067,997,661,258,804,207,424,014,359,895,483,792,944,
097,738,098,843,001,059,461,480,768,556,272,374,283,103,143,288,632,250,337,
270,214,222,850,453,356,753,497,299,523,666,031,021,433,899,398,175,771,446,
364,689,239,320,670,009,032,647,072,731,163,324,436,617,433,971,933,437,931,
120,115,070,398,436,002,342,709,759,345,351,519,835,823,284,165,210,209,986,
946,431,807,397,774,467,162,312,453,831,517,056,745,328,675,723,295,191,242,
487,466,212,655,225,928,612,594,880,380,218,827,317,482,312,975,457,321,740,
029,461,141,172,998,857,275,150,451,427,024,594,293,239,067,870,009,170,738,
031,134,695,283,462,463,038,651,961,945,268,269,988,047,137,008,528,363,869,
092,704,593,950,234,802,568,110,267,982,227,430,045,080,468,726,099,539,364,
365,877,807,959,355,608,568,378,719,951,287,260,488,789,677,891,135,121,043,
168,776,458,886,286,978,276,926,106,412,007,784,375,404,835,672,595,416,555,
413,786,678,232,246,798,902,508,671,125,996,187,641,315,840,727,853,891,037,
022,366,212,809,740,760,102,336,480,519,738,685,580,751,999,759,444,989,434,
316,664,937,389,772,775,641,224,453,274,154,964,148,920,251,736,263,247,769,
184,160,552,071,263,995,532,714,469,812,968,653,978,268,234,061,220,821,063,
170,682,375,599,281,224,927,234,313,322,217,024,117,866,836,133,243,182,432,
639,947,781,497,698,125,584,468,888,732,158,150,719,275,581,141,024,759,611,
753,183,101,617,177,364,649,062,642,139,361,283,712,986,099,291,103,232,400,
494,971,232,409,774,233,669,573,560,445,030,800,078,496,388,023,272,810,047,
988,550,559,990,424,033,528,542,812,344,662,503,451,603,939,234,395,048,713,
588,422,114,214,786,002,829,643,181,362,970,997,010,202,096,884,112,679,382,
882,625,270,438,929,441,998,124,193,029,184,625,387,938,607,318,226,031,755,
900,007,452,659,715,130,163,026,883,054,386,392,088,408,928,342,128,483,998,
242,900,371,011,138,300,711,235,598,089,013,084,661,190,989,496,670,642,177,
276,066,483,343,146,502,403,594,729,264,560,910,410,449,349,673,893,109,354,
139,400,663,583,848,421,453,034,597,809,840,245,699,813,840,655,538,811,184,
893,821,521,081,479,890,357,156,236,783,653,818,945,957,487,776,756,857,966,
656,343,213,869,851,658,353,284,730,673,021,167,287,611,990,667,765,919,155,
559,606,491,331,912,558,265,242,561,373,621,027,637,097,667,922,785,457,799,
276,061,450,066,095,952,740,257,693,878,533,479,408,823,775,126,279,987,614,
923,783,392,781,891,227,389,819,556,833,912,836,186,875,337,495,490,037,731,
734,030,839,154,919,960,188,238,019,831,643,763,218,817,565,247,427,559,094,
359,057,009,328,526,971,615,324,945,022,354,069,666,481,821,540,716,778,776,
798,859,605,582,487,936,944,918,502,201,720,566,140,804,113,272,301,116,314,
484,082,448,353,276,541,029,580,896,953,832,146,732,967,959,032,066,695,005,
574,013,779,264,537,533,024,103,007,735,288,708,209,496,612,062,977,610,412,
382,287,923,007,883,879,204,769,505,801,070,833,141,540,016,594,836,526,113,
835,769,927,886,048,370,366,797,120,380,842,657,375,139,427,209,403,356,275,
182,905,832,393,968,750,573,374,724,525,383,141,389,342,898,130,513,181,509,
758,749,383,792,810,606,421,006,921,017,106,349,470,220,366,622,193,927,067,
436,633,619,178,255,032,183,728,113,985,109,963,035,729,311,637,148,002,410,
381,576,086,048,337,733,519,917,645,847,175,365,930,929,342,705,253,889,273,
414,885,141,398,023,088,158,438,119,885,756,493,772,593,306,052,915,011,932,
464,097,814,326,486,590,968,951,775,133,522,976,278,348,335,168,082,929,397,
863,870,323,309,218,023,058,650,301,188,565,364,870,421,861,213,006,321,523,
282,043,089,955,233,486,961,964,686,029,617,715,630,800,213,192,799,418,850,
811,746,148,442,105,261,383,497,454,058,427,164,868,941,772,202,744,536,808,
169,125,194,093,119,344,385,948,479,058,539,570,917,985,106,869,954,706,659,
394,676,943,403,813,386,033,524,698,547,917,932,751,561,612,695,276,847,352,
038,992,564,674,791,186,096,022,959,604,292,436,347,772,299,032,068,897,275,
662,795,734,861,033,789,724,455,603,688,464,276,115,173,960,832,003,344,591,
955,711,683,736,157,394,269,509,897,842,873,559,470,986,417,244,442,696,040,
803,954,672,466,650,928,477,787,898,243,785,966,518,058,790,102,426,186,576,
350,023,702,335,013,687,460,792,300,928,792,570,515,962,514,429,906,811,063,
916,318,893,218,381,064,487,188,805,090,221,478,175,783,910,530,944,317,891,
953,698,291,434,216,791,119,035,225,084,563,502,072,168,080,739,847,577,076,
074,008,934,549,291,155,996,668,396,712,807,557,125,200,055,079,320,905,619,
490,014,441,873,141,854,547,107,411,445,878,428,565,843,895,560,760,095,766,
199,698,228,916,138,132,252,038,087,191,837,793,832,462,666,391,706,531,314,
927,661,948,625,800,207,184,122,257,437,887,181,053,714,681,728,467,527,197,
074,828,076,499,931,533,373,841,771,614,603,596,360,950,973,783,444,362,618,
047,047,114,863,813,874,014,957,920,569,479,832,102,656,512,379,569,123,381,
302,822,599,635,635,810,489,727,376,087,494,544,690,644,603,270,400,954,298,
216,305,930,010,493,563,363,819,536,469,916,446,787,516,667,950,002,556,525,
320,804,722,805,855,984,738,321,130,239,666,481,093,032,409,840,085,505,775,
814,807,812,549,276,057,679,618,622,052,341,361,632,104,155,434,809,944,806,
747,320,255,446,359,852,714,197,566,459,096,474,306,827,151,159,854,980,490,
723,761,414,896,952,707,572,035,018,630,754,893,308,937,845,330,987,677,455,
382,779,261,243,610,457,830,138,702,335,469,671,922,412,548,283,944,746,201,
060,515,194,838,148,976,066,928,189,584,616,185,601,407,159,260,807,672,093,
925,608,655,819,116,214,682,198,376,771,980,428,155,285,744,585,893,693,484,
201,810,540,510,430,195,275,927,086,107,050,778,670,254,277,550,993,998,085,
627,105,610,629,427,492,477,167,354,611,516,283,882,028,855,390,752,267,642,
669,400,137,592,611,530,779,062,339,449,224,706,441,821,597,147,227,784,349,
768,361,128,710,843,460,483,875,501,070,896,691,249,309,693,374,345,933,128,
845,338,110,903,794,353,487,071,463,535,341,322,262,012,116,833,403,549,380,
859,009,969,875,176,290,239,352,086,947,047,732,907,185,119,124,716,495,324,
548,609,670,935,734,650,964,056,002,180,025,603,041,546,985,364,338,199,822,
697,873,757,020,306,160,385,630,159,910,877,777,654,118,239,033,604,136,115,
902,729,454,077,117,358,981,357,366,004,487,072,505,428,065,946,137,884,580,
668,146,491,735,512,766,227,388,445,855,193,345,977,747,867,560,766,625,584,
819,741,805,923,211,043,677,981,881,833,535,867,964,243,359,963,295,614,790,
433,260,228,815,034,040,209,437,620,519,240,346,938,584,771,767,727,504,306,
774,228,647,376,344,979,956,205,839,004,650,476,526,190,517,338,018,068,636,
558,101,166,255,480,167,278,204,614,105,041,585,429,709,447,387,748,541,041,
247,274,440,511,673,762,281,684,584,606,468,313,641,948,106,815,698,736,191,
741,640,924,149,599,720,463,031,445,990,617,998,610,707,465,164,029,442,038,
015,294,244,931,211,929,096,564,180,207,274,435,929,056,413,658,931,986,228,
906,304,326,795,620,690,888,660,669,773,683,882,575,270,476,693,848,579,905,
792,980,773,229,836,719,729,483,408,133,535,510,953,305,662,704,244,616,173,
696,990,478,646,535,586,445,543,701,140,065,624,147,525,416,459,452,021,166,
702,185,010,654,734,738,690,921,762,357,343,566,320,975,777,654,902,468,798,
600,045,789,803,599,015,528,800,519,202,544,981,103,231,367,174,961,694,864,
040,965,260,179,715,729,405,220,118,707,627,008,042,292,528,319,196,611,947,
047,472,511,877,497,640,447,686,317,936,117,283,324,673,147,965,841,531,434,
977,373,433,898,744,570,920,465,555,320,658,303,383,728,887,193,486,228,186,
054,339,302,211,975,222,268,738,368,892,887,863,777,298,232,243,972,518,088,
961,616,356,217,096,618,261,188,878,229,967,192,074,020,378,771,327,263,192,
471,269,316,171,946,822,400,156,197,657,497,854,200,151,998,072,587,494,114,
735,318,960,073,747,693,449,254,966,155,465,791,164,505,980,831,662,951,860,
116,039,797,287,735,321,290,773,651,341,864,850,087,130,536,593,847,302,559,
691,600,184,336,647,431,836,616,712,715,497,965,444,816,058,019,914,996,348,
608,807,134,748,677,676,515,691,902,275,294,151,137,223,650,986,310,583,581,
771,439,051,507,361,249,447,598,025,241,827,427,094,928,179,750,492,478,191,
571,322,181,050,512,208,279,991,980,194,548,644,053,251,586,142,039,557,985,
496,170,856,475,164,600,585,179,961,281,855,123,815,409,486,284,717,885,482,
179,752,683,334,095,835,018,817,972,917,372,440,815,905,845,223,531,739,853,
410,969,427,889,806,669,826,848,380,091,621,471,626,815,609,726,362,625,422,
805,522,914,384,933,405,806,926,502,748,822,230,416,828,070,507,805,687,448,
685,342,918,657,302,003,029,319,774,694,592,076,914,972,546,910,123,323,209,
992,259,515,958,219,745,391,707,242,751,972,353,764,229,272,383,568,356,159,
442,687,460,151,928,937,607,921,622,745,707,143,560,486,626,771,720,523,104,
720,798,031,005,016,783,479,917,312,102,270,334,061,798,066,046,330,294,280,
247,942,971,403,948,253,507,573,546,257,460,752,642,688,136,465,634,225,168,
419,019,394,092,621,205,403,064,729,003,530,541,626,928,402,203,153,208,991,
662,828,610,809,788,071,218,468,104,227,549,667,473,772,112,173,100,599,929,
695,219,570,665,753,683,270,244,304,043,784,320,495,577,205,134,793,183,638,
119,765,902,724,188,385,549,664,998,106,610,111,122,481,963,477,692,934,371,
317,303,520,443,715,537,918,172,090,785,471,382,028,255,204,544,671,053,260,
008,207,414,166,090,687,482,061,367,481,100,925,674,001,530,782,855,341,695,
168,089,155,997,820,836,047,339,553,124,654,798,074,809,750,424,271,725,520,
040,273,805,906,577,659,416,440,102,577,675,215,028,107,772,584,770,719,701,
158,656,825,221,899,922,078,819,192,553,867,252,518,655,084,263,370,241,432,
420,047,054,473,533,976,458,040,478,890,899,672,007,490,330,087,886,534,595,
208,305,971,521,218,585,166,094,478,519,164,507,022,074,581,050,798,109,310,
395,729,034,315,983,019,538,208,439,526,225,835,928,650,312,748,078,758,217,
887,639,529,778,972,778,722,178,551,595,554,168,342,079,414,070,862,792,312,
411,464,530,496,513,327,486,577,904,976,391,167,022,398,463,427,666,519,282,
025,702,743,737,922,550,516,376,716,468,634,118,281,825,059,546,464,069,502,
642,998,729,749,244,607,470,248,950,106,194,332,953,496,591,577,382,801,486,
926,879,741,761,859,108,785,094,097,109,940,088,744,914,382,099,137,549,691,
206,965,106,828,696,896,611,862,966,327,610,232,999,933,510,668,514,582,390,
802,407,845,782,253,724,144,428,767,728,888,842,796,853,332,757,932,215,304,
714,171,525,340,713,200,557,630,269,409,596,632,368,963,048,338,439,423,294,
472,280,092,453,861,527,171,829,833,105,004,266,034,768,008,128,424,415,724,
386,658,377,924,642,041,450,089,538,203,738,719,142,226,482,197,139,120,386,
820,826,159,558,652,300,566,877,263,366,583,334,585,274,155,048,796,396,718,
294,583,998,016,816,792,692,817,572,498,238,895,597,443,270,177,455,244,358,
322,836,962,361,185,047,840,515,377,023,148,907,461,270,601,555,416,177,729,
422,911,534,420,206,180,783,174,214,941,683,619,483,641,488,051,931,182,378,
884,168,161,504,190,889,815,509,299,647,917,227,760,532,485,551,914,170,422,
166,516,136,320,992,404,143,386,038,668,335,567,379,860,325,929,982,747,056,
729,062,649,333,216,985,168,713,917,393,940,745,092,186,194,670,849,142,057,
043,414,932,409,113,341,884,060,406,863,573,553,878,544,046,495,666,022,264,
522,133,843,904,210,344,570,936,208,159,618,231,133,445,865,382,980,398,706,
790,076,275,819,431,538,020,765,351,842,967,772,249,998,078,742,673,631,353,
357,752,016,589,415,757,276,944,850,321,868,686,891,383,567,497,705,970,867,
258,545,747,999,262,613,131,187,728,519,595,853,661,910,772,041,829,992,176,
778,243,892,727,191,566,049,263,221,764,748,612,428,134,265,512,693,191,440,
210,518,776,694,531,619,265,378,754,035,411,220,913,194,164,909,863,046,621,
426,896,214,158,501,529,286,709,504,844,911,667,201,307,995,786,098,501,507,
129,764,565,505,271,901,310,765,109,938,192,797,656,896,213,434,588,951,197,
440,207,608,575,913,846,199,130,827,827,307,796,284,504,167,818,756,313,934,
293,453,893,783,281,924,867,051,831,240,425,586,038,575,607,520,302,668,614,
715,198,316,532,257,502,202,768,211,052,377,497,268,518,513,983,563,573,486,
401,732,020,415,776,856,833,458,680,234,314,749,459,356,943,329,570,265,019,
308,689,875,604,257,500,008,327,937,010,874,958,562,948,433,373,176,396,369,
969,948,687,820,676,017,911,425,056,209,123,424,458,474,057,375,826,452,825,
562,444,287,607,654,376,749,299,260,428,847,439,741,387,064,024,649,993,594,
660,322,439,874,733,369,336,264,601,376,780,246,587,063,870,183,514,719,600,
592,271,996,229,382,684,396,519,392,746,180,991,968,461,191,501,584,861,991,
751,497,425,662,155,841,745,883,903,389,382,727,654,768,550,807,777,365,054,
422,884,397,692,633,623,392,589,843,126,320,316,519,779,319,237,339,334,274,
650,369,125,155,008,512,572,304,047,442,525,415,924,757,514,333,594,556,574,
523,174,979,390,265,276,939,773,608,524,773,375,842,711,570,953,541,293,652,
743,791,750,255,609,825,720,750,579,504,248,668,102,100,933,235,764,064,064,
145,690,127,007,889,806,933,606,715,418,059,190,029,786,499,052,235,711,919,
194,951,871,196,331,679,985,469,844,158,694,316,981,231,217,731,484,479,806,
152,956,847,259,089,102,497,559,343,175,305,019,174,340,529,922,372,389,447,
139,985,515,163,898,341,975,109,666,275,553,381,259,190,725,016,584,222,755,
877,918,458,604,210,897,590,158,546,678,290,958,779,550,347,850,235,371,583,
578,374,745,167,830,729,711,105,983,402,380,332,534,253,917,946,380,953,722,
070,047,670,286,803,187,868,400,423,994,721,050,657,744,647,200,701,386,549,
928,839,105,409,941,424,217,402,270,690,519,911,033,581,042,264,641,156,779,
322,041,533,771,974,944,789,018,377,092,083,572,704,164,941,451,480,292,892,
173,761,703,518,044,485,435,590,066,943,972,898,020,945,763,220,787,049,922,
363,338,698,960,383,350,960,519,875,128,282,045,405,551,024,673,456,448,633,
138,348,314,936,877,650,097,894,206,326,610,544,020,445,162,681,139,349,202,
055,239,120,660,559,457,066,500,665,104,112,874,658,333,580,364,378,245,595,
341,205,427,061,516,021,478,845,830,318,691,807,633,074,409,257,778,539,115,
265,202,947,684,920,619,878,996,233,410,330,860,640,548,403,188,633,395,492,
025,163,300,633,036,994,487,631,799,862,068,152,603,698,281,715,180,304,932,
255,467,354,214,948,439,454,900,268,001,652,305,033,081,208,980,153,259,132,
649,564,321,375,845,591,821,245,285,235,288,070,391,880,431,430,559,528,080,
357,603,697,019,640,368,877,586,116,113,637,364,849,588,742,360,265,131,476,
468,273,654,769,893,833,969,307,581,318,798,331,524,572,484,170,320,336,615,
964,837,785,781,495,913,981,972,713,947,324,048,447,121,926,012,504,577,279,
749,715,385,088,143,851,511,752,241,010,388,933,166,859,031,980,213,814,475,
515,705,384,708,800,953,931,927,485,970,517,329,624,182,773,498,381,707,605,
196,718,737,254,079,528,511,987,114,399,612,622,163,599,320,856,510,386,933,
832,158,188,795,753,198,067,381,169,920,865,534,144,112,830,008,970,154,766,
689,762,758,538,023,158,583,525,128,533,860,313,605,646,379,183,052,279,049,
031,578,497,785,905,318,755,911,175,036,530,766,273,101,088,545,639,568,884,
175,307,308,580,933,829,684,281,352,848,747,271,325,312,636,419,647,293,374,
290,989,229,754,839,243,575,546,317,998,852,145,390,483,753,030,104,041,908,
524,790,578,683,521,643,158,825,241,791,841,988,221,434,204,396,209,885,708,
837,165,279,766,034,325,228,365,136,102,930,158,947,836,677,885,007,493,720,
277,350,389,590,080,594,772,436,690,263,041,746,325,169,130,765,764,402,187,
246,726,975,450,967,183,776,533,879,554,414,055,132,561,500,439,670,879,813,
729,864,560,760,318,884,745,606,577,606,431,956,467,173,304,937,369,072,394,
155,168,269,144,638,290,709,423,432,855,882,970,113,771,671,456,503,959,686,
192,323,243,351,260,084,736,899,520,713,596,318,616,212,882,910,693,486,564,
459,454,230,766,700,563,188,194,026,221,681,730,070,353,616,631,006,599,612,
115,674,809,699,508,634,105,961,011,535,962,385,882,488,645,942,618,421,730,
854,393,769,596,613,053,787,678,135,063,258,160,808,955,397,072,540,496,617,
563,770,152,498,762,467,620,485,899,292,411,970,582,050,349,215,384,186,834,
917,460,860,176,119,989,579,294,199,866,261,505,160,278,739,715,152,457,352,
297,951,801,937,963,434,634,868,475,732,619,176,063,372,626,264,323,878,637,
602,587,951,526,584,591,228,822,607,118,446,644,211,652,540,504,062,649,180,
752,939,068,024,054,496,897,446,114,763,022,881,066,335,309,467,709,165,242,
591,815,988,241,677,640,974,386,403,660,120,071,740,431,920,283,051,026,544,
956,359,363,570,247,816,271,316,701,008,049,279,770,998,519,471,046,089,113,
526,395,222,945,439,454,748,525,325,133,214,615,816,862,125,805,706,564,344,
999,920,718,395,789,767,338,877,373,987,923,142,023,251,971,159,724,254,099,
166,312,763,112,496,801,736,615,891,931,612,497,037,907,620,643,762,145,039,
089,581,626,866,533,372,214,255,015,309,824,112,196,214,633,454,359,933,749,
680,352,462,482,259,004,692,026,220,266,810,178,454,281,733,344,567,172,379,
236,589,073,992,691,359,234,112,291,650,402,614,987,420,884,445,648,339,816,
293,989,864,272,071,348,104,412,957,710,362,105,326,300,569,680,071,406,977,
598,720,215,925,661,026,140,870,933,663,869,886,277,072,349,062,207,653,793,
372,362,868,204,027,751,593,372,846,116,464,378,765,744,355,506,820,913,906,
615,810,672,788,652,421,727,257,847,885,546,415,372,850,339,929,553,984,567,
207,972,439,159,728,777,289,176,687,384,810,110,497,619,342,371,713,491,611,
604,096,749,642,640,384,170,286,458,449,010,396,622,295,835,933,098,818,045,
523,032,138,774,650,206,163,927,766,415,089,201,811,425,091,641,380,710,544,
278,336,726,274,662,744,486,471,013,359,383,153,686,043,442,524,629,517,327,
824,169,176,511,935,486,071,046,776,802,085,284,359,577,080,319,900,421,049,
613,523,730,489,290,309,715,736,327,755,900,429,139,524,380,805,342,829,624,
583,477,344,096,052,336,128,699,415,225,972,954,536,603,797,403,868,660,287,
406,396,584,796,511,064,251,214,680,323,777,487,253,983,547,482,229,326,104,
096,331,879,565,566,022,639,356,669,596,307,047,311,674,309,719,459,918,405,
108,982,690,625,010,329,115,738,304,857,983,141,663,708,735,543,425,674,274,
375,130,324,994,544,650,878,993,145,668,367,366,081,769,747,146,336,384,863,
114,845,659,851,145,277,106,629,222,476,883,397,443,335,778,391,430,108,742,
810,112,644,136,252,438,164,705,711,231,730,159,055,136,124,962,763,943,638,
492,306,224,676,647,661,235,185,140,418,302,401,379,159,344,008,776,841,328,
698,880,279,420,160,365,807,618,986,644,693,425,435,928,532,239,624,868,614,
073,951,665,392,852,659,080,311,247,133,579,234,578,356,131,865,443,193,113,
042,390,901,401,264,296,622,798,317,809,563,608,952,441,157,754,526,533,397,
557,377,389,077,540,321,666,227,154,212,187,335,438,346,520,872,722,150,159,
899,885,746,109,683,937,041,336,390,713,581,352,166,296,099,178,688,756,066,
007,831,665,237,779,863,929,962,927,167,842,196,337,703,411,383,974,023,234,
792,512,603,886,220,192,760,675,555,892,224,460,547,839,939,211,671,039,697,
061,073,606,630,494,344,921,795,730,798,755,521,167,935,987,671,665,980,246,
612,996,618,870,135,251,321,819,036,944,165,129,344,823,597,272,153,438,513,
197,382,309,804,903,077,456,986,666,573,502,874,728,651,165,372,962,923,338,
807,718,306,199,918,157,208,616,130,286,030,379,368,161,544,287,529,523,252,
839,068,914,698,140,273,204,073,161,659,855,735,718,222,061,318,582,758,799,
585,894,927,913,723,782,149,776,899,386,956,264,775,140,653,180,649,959,705,
683,069,648,956,733,935,066,843,750,427,773,255,789,883,131,695,806,339,477,
520,008,240,360,068,602,998,645,677,505,302,225,467,087,207,059,159,975,575,
720,744,373,362,569,262,289,411,855,985,774,543,982,924,067,974,432,942,741,
612,939,604,854,561,943,811,238,613,832,549,450,403,749,483,406,754,969,674,
019,056,451,037,033,498,086,555,593,613,797,758,223,581,611,485,371,033,373,
574,769,183,515,405,533,247,614,024,155,335,961,870,520,948,188,685,675,070,
593,225,524,594,194,567,499,136,314,924,581,526,911,847,433,772,811,019,013,
240,672,725,473,996,358,840,617,585,668,709,036,509,272,907,264,109,134,807,
756,022,048,419,384,128,625,605,104,801,336,792,896,206,498,554,366,011,728,
997,795,554,347,482,677,033,663,321,431,862,662,101,398,850,876,424,904,485,
964,099,470,929,300,744,453,048,850,636,544,932,505,682,555,193,272,679,080,
470,067,681,360,225,729,830,472,620,290,223,977,589,452,244,252,594,652,912,
971,043,512,249,155,340,668,467,088,481,221,801,131,672,351,837,549,131,096,
548,475,475,785,375,349,491,654,396,071,675,048,171,773,494,046,851,363,656,
368,994,527,525,873,344,296,231,392,214,443,002,329,087,191,191,731,103,850,
163,342,560,513,263,315,637,963,500,389,284,506,535,177,504,911,085,980,250,
691,025,790,002,917,219,946,550,320,403,485,518,733,093,719,529,810,661,722,
534,539,696,725,878,235,747,561,155,147,673,042,173,056,329,863,327,008,849,
571,335,217,354,521,876,072,233,437,142,770,332,489,341,865,426,094,300,059,
642,325,197,984,422,553,073,288,743,180,174,389,322,108,691,219,267,078,736,
622,637,599,358,848,322,706,744,819,502,804,810,825,225,571,547,319,198,314,
065,806,194,907,018,787,097,452,246,823,411,891,563,885,459,697,780,302,780,
782,060,664,961,390,844,114,732,095,861,562,099,125,813,691,150,777,844,253,
559,074,043,389,935,967,054,411,084,203,904,895,003,778,178,781,987,186,977,
927,381,406,045,230,913,809,689,582,471,686,813,659,676,455,651,643,391,632,
785,346,614,476,493,666,044,310,381,023,286,131,233,259,012,135,694,052,465,
698,840,974,529,404,316,610,386,141,869,463,901,300,115,904,747,776,382,026,
553,551,003,175,192,097,887,023,842,238,747,340,925,449,130,298,782,517,080,
255,746,828,624,558,906,213,252,842,790,522,081,543,307,562,447,065,749,930,
674,076,097,673,146,794,770,724,136,449,591,422,213,272,177,166,995,756,997,
645,382,232,711,553,985,000,189,415,485,778,370,402,495,841,895,948,874,865,
675,014,415,660,305,005,733,210,756,977,293,629,515,832,146,534,516,971,265,
942,480,986,473,612,614,777,748,215,562,516,708,445,983,242,594,032,249,841,
583,757,665,926,358,457,186,712,296,566,320,125,123,852,439,623,748,276,630,
787,479,452,396,813,422,094,570,125,217,822,811,121,079,877,261,104,107,639,
079,328,089,737,488,889,938,718,314,762,927,402,637,702,842,981,515,390,524,
208,488,365,375,899,190,024,542,709,251,234,304,587,999,346,402,511,658,010,
458,162,735,861,928,002,131,448,774,779,407,776,800,298,428,251,667,123,531,
277,025,066,200,518,938,412,425,048,192,092,773,049,938,383,712,120,709,600,
730,465,044,756,873,116,770,399,828,518,763,120,936,514,003,535,501,938,276,
350,949,769,832,527,483,909,863,585,944,064,779,807,035,643,802,886,226,523,
547,139,867,113,290,703,902,253,892,293,186,101,190,192,836,951,872,871,435,
525,915,228,261,459,324,699,362,299,246,854,004,125,857,414,192,674,003,680,
287,289,627,978,863,062,548,244,191,947,909,678,148,324,111,526,955,960,040,
550,345,825,479,955,492,685,539,022,401,653,688,971,166,115,794,467,853,033,
206,300,264,131,508,916,816,299,585,535,848,494,430,790,484,581,901,081,776,
489,754,627,274,647,547,529,698,160,723,519,267,330,660,852,634,508,688,307,
552,229,468,206,705,757,929,077,007,691,592,766,740,987,682,999,693,029,590,
385,739,411,872,447,177,643,967,545,864,645,474,111,815,936,028,899,444,567,
935,366,152,844,923,972,935,411,649,926,067,591,984,008,162,306,616,969,356,
249,209,002,897,324,813,898,375,848,048,098,676,982,267,279,494,316,709,892,
612,807,128,469,062,018,464,283,000,497,645,904,201,429,633,831,063,700,171,
156,652,782,038,768,650,958,137,849,271,670,797,174,747,242,135,739,327,211,
658,993,003,313,761,112,315,329,308,827,914,344,656,307,065,432,220,951,451,
784,476,252,575,320,350,405,759,818,706,212,658,815,894,965,769,592,964,535,
842,663,760,704,819,574,659,482,426,404,422,071,046,414,267,853,457,037,003,
866,650,234,518,612,926,460,367,932,639,962,569,481,460,481,296,345,061,140,
608,831,666,143,494,741,375,203,860,886,522,316,022,882,113,597,746,791,846,
814,154,610,192,622,497,123,668,511,949,408,670,540,690,151,624,919,701,366,
212,572,910,852,372,101,572,266,825,721,643,413,745,806,096,125,880,176,391,
956,102,095,943,254,398,618,865,397,323,555,048,084,785,425,688,713,829,069,
732,765,163,042,585,359,794,934,444,187,088,952,439,323,986,454,593,037,344,
476,414,243,475,898,092,939,040,952,093,207,631,969,342,604,230,318,425,393,
593,654,419,064,067,503,603,349,200,726,799,409,880,796,309,565,833,718,874,
639,110,638,944,319,459,710,361,448,758,980,785,731,165,393,599,883,244,669,
080,373,234,547,532,237,996,993,163,671,692,247,218,640,461,101,745,671,348,
474,299,908,211,427,620,875,669,859,735,877,524,091,660,106,622,029,982,185,
510,679,669,198,405,147,589,586,438,235,738,331,746,015,373,892,845,206,754,
270,993,195,640,990,140,826,254,755,810,072,902,253,799,986,953,393,306,172,
968,736,897,045,545,836,724,242,176,571,127,964,354,984,697,527,388,430,819,
768,801,719,693,726,449,157,519,772,100,313,227,888,517,855,162,464,893,437,
818,993,661,602,470,897,502,405,236,496,858,678,843,297,004,780,938,598,589,
962,926,723,203,036,806,812,969,754,040,714,079,239,388,208,340,049,816,966,
785,931,811,406,334,902,119,183,584,777,668,562,548,115,195,168,236,440,094,
518,249,809,209,764,388,555,767,251,850,715,266,731,358,632,022,153,480,230,
360,917,290,615,768,941,183,133,970,297,641,227,682,509,324,421,048,300,630,
810,482,764,501,029,328,299,885,298,505,473,189,625,489,137,466,137,549,556,
864,656,160,497,330,261,079,531,400,862,257,897,536,943,156,229,348,169,414,
231,272,733,903,066,086,613,963,365,625,349,106,810,609,061,260,298,001,022,
495,659,636,567,788,119,454,953,578,192,374,369,032,679,636,636,711,109,751,
861,142,162,379,388,101,989,486,781,363,349,950,993,569,883,476,915,551,671,
416,917,698,700,465,759,607,704,499,909,744,464,870,034,610,977,414,320,805,
857,548,602,767,033,072,213,670,109,689,916,943,095,966,441,947,317,462,564,
520,246,013,434,603,211,182,185,164,095,644,534,292,947,396,033,018,203,778,
926,184,207,133,107,308,616,737,161,304,468,976,217,497,092,231,336,293,506,
199,567,332,384,184,603,866,163,441,810,936,891,455,375,400,114,860,987,657,
225,514,653,731,882,742,076,649,621,501,187,845,629,380,079,296,066,285,274,
141,474,280,701,406,908,399,695,901,703,577,981,551,928,800,539,157,510,901,
002,027,581,646,772,456,393,902,647,952,665,788,483,064,146,697,433,711,743,
831,540,350,748,297,371,851,210,481,412,983,168,843,371,835,948,987,657,859,
806,960,176,688,066,204,749,212,951,479,932,137,337,030,448,724,175,744,764,
363,168,872,210,625,731,342,435,933,424,427,799,382,874,012,622,229,715,242,
540,965,113,544,776,938,748,862,532,535,487,802,191,525,382,600,810,608,003,
951,274,667,550,586,944,330,633,429,478,805,181,128,447,784,914,171,982,565,
309,111,483,389,920,800,959,265,884,029,141,193,852,060,754,815,093,197,491,
496,615,390,910,502,355,170,447,809,551,605,550,000,774,082,643,727,102,131,
361,732,755,352,049,498,185,346,826,330,169,022,142,206,917,729,194,782,391,
087,122,185,511,148,189,229,848,579,828,946,786,548,754,421,241,652,611,631,
281,417,472,352,420,955,796,249,002,756,732,016,280,102,477,628,218,677,472,
724,731,151,365,083,365,439,133,307,162,488,337,694,828,676,993,111,888,971,
719,151,163,655,939,823,412,475,976,025,077,937,776,647,941,404,292,801,999,
212,633,662,992,210,789,362,584,255,027,208,811,090,956,461,265,319,376,100,
734,411,607,849,261,217,426,474,273,241,723,851,073,310,609,372,733,039,204,
631,194,609,103,511,868,508,675,691,842,408,353,816,813,023,736,741,229,852,
253,307,006,370,467,735,140,115,276,073,853,672,611,901,534,534,042,373,342,
484,714,211,315,509,814,295,200,238,823,321,767,201,475,852,811,892,505,044,
008,347,916,409,062,357,590,935,183,907,556,586,964,280,277,127,985,041,916,
306,272,199,589,038,119,248,080,264,926,867,317,970,461,977,228,017,485,409,
275,447,821,827,536,900,700,002,711,667,358,044,666,385,369,516,518,013,382,
257,031,268,840,338,943,340,504,259,146,266,424,924,378,451,410,892,768,129,
811,539,045,403,128,167,341,621,951,531,974,862,948,482,755,009,640,595,338,
105,234,387,542,894,751,705,771,183,600,937,523,811,566,556,917,872,366,835,
700,011,616,419,362,406,779,461,795,057,273,237,937,059,493,078,362,892,526,
640,921,675,705,204,345,201,615,282,314,898,213,448,994,105,872,335,371,234,
470,244,170,951,186,653,920,938,406,321,038,867,932,083,029,645,646,290,253,
413,556,540,903,686,591,606,330,942,348,669,661,249,806,598,539,543,524,533,
985,915,352,001,654,178,786,809,807,416,975,222,854,686,256,249,586,143,977,
695,249,248,223,854,726,417,645,661,027,234,925,248,475,905,914,148,973,148,
183,501,646,201,997,409,836,328,848,970,353,439,271,682,843,593,138,739,978,
015,785,953,750,609,393,058,165,857,131,742,447,661,702,053,696,371,449,658,
698,672,256,491,517,365,738,310,915,883,579,610,510,133,940,867,293,591,009,
914,913,819,050,777,843,616,048,903,087,911,407,849,970,847,405,955,580,978,
210,803,933,464,261,890,304,476,509,235,878,188,025,570,333,833,321,220,337,
668,386,219,339,686,881,538,532,194,437,313,423,889,386,779,218,378,939,024,
520,405,241,275,573,778,437,968,549,602,477,490,125,890,294,003,349,758,853,
925,451,412,809,862,544,732,583,344,231,606,880,203,704,997,839,253,156,896,
859,813,199,979,049,707,465,043,285,812,320,042,722,924,506,291,027,893,190,
925,965,875,106,195,995,165,881,262,556,344,533,579,399,300,841,006,074,353,
499,574,907,066,382,896,610,997,767,277,001,392,405,364,078,164,795,221,827,
960,596,891,136,245,897,693,163,356,926,067,168,644,766,425,905,832,637,705,
431,613,416,060,421,515,064,570,651,014,992,631,674,098,537,912,481,161,322,
547,925,120,354,390,834,887,680,618,749,514,102,695,997,167,884,551,843,385,
879,759,573,706,265,344,567,214,271,310,035,787,886,950,854,988,532,237,163,
573,369,738,733,900,838,358,800,620,648,254,255,413,014,682,906,012,986,992,
409,179,316,736,453,924,479,418,998,367,392,876,748,775,090,248,412,316,130,
330,310,856,645,575,928,171,814,175,458,953,418,738,305,637,429,963,955,179,
087,068,385,548,285,730,931,248,453,344,980,056,491,342,276,853,859,343,255,
216,524,687,997,472,196,504,577,405,018,469,150,949,984,886,492,605,819,000,
037,163,209,450,354,660,305,366,306,574,146,020,615,011,658,765,157,999,070,
450,470,137,098,401,042,386,809,326,766,240,403,467,538,567,485,732,363,745,
223,180,018,358,708,956,702,825,355,909,871,850,728,588,799,002,066,822,098,
052,810,474,308,898,558,126,508,817,792,397,976,304,579,320,696,690,141,183,
591,095,374,985,743,999,298,353,413,027,186,165,462,922,879,371,879,856,769,
587,440,834,639,031,693,121,336,630,464,952,615,002,038,260,401,253,546,065,
771,238,005,635,117,114,713,684,639,103,176,270,180,247,620,656,836,284,999,
511,956,269,820,649,584,149,857,237,242,715,777,352,003,603,791,360,976,382,
477,281,203,554,044,345,799,535,517,465,489,059,225,553,620,184,547,711,411,
307,374,159,497,120,422,811,426,534,138,084,798,556,168,796,108,329,798,513,
295,294,481,295,710,590,253,660,075,611,154,133,862,186,420,989,847,889,991,
876,637,598,967,466,629,708,280,400,332,777,945,408,058,519,792,566,231,414,
119,718,344,934,930,252,153,132,844,228,993,931,071,260,943,853,969,274,227,
756,394,281,731,092,974,495,323,314,350,768,954,884,667,936,407,383,924,207,
172,178,696,050,953,749,929,350,048,018,469,435,321,776,988,954,310,931,361,
278,149,445,395,382,634,465,064,951,608,648,950,221,971,798,376,882,345,678,
925,835,788,559,665,883,004,027,209,700,690,445,853,689,465,855,607,194,617,
780,194,374,472,365,848,670,824,572,234,247,475,789,563,377,315,255,017,349,
212,791,035,569,083,745,182,226,332,652,153,995,225,640,259,762,226,066,597,
489,177,740,669,297,757,790,564,339,006,340,010,963,286,650,705,421,576,323,
835,353,769,380,604,521,808,917,772,917,585,651,341,508,871,222,557,721,004,
896,851,110,072,500,645,710,143,465,177,108,530,448,798,729,064,710,325,893,
014,432,700,327,868,489,096,677,378,636,291,643,609,615,765,093,306,988,708,
713,196,235,589,071,552,499,665,003,938,823,733,668,243,996,732,106,861,202,
528,459,943,340,597,268,170,941,359,440,962,115,752,103,145,757,220,731,397,
705,360,541,832,440,057,069,524,887,695,271,281,657,495,277,496,474,472,736,
943,312,802,097,868,879,755,963,892,460,954,132,701,587,022,017,475,956,271,
467,973,919,856,206,365,331,181,264,835,765,570,761,814,461,753,090,586,086,
730,533,949,438,332,812,223,992,654,492,502,358,282,589,570,106,166,074,881,
507,481,116,922,746,828,002,446,019,793,772,963,978,438,812,721,247,733,939,
941,426,034,685,314,351,707,659,266,291,558,547,161,313,596,882,099,700,969,
438,489,608,349,442,340,762,738,121,972,522,393,517,483,761,972,940,147,025,
575,700,583,745,562,120,179,279,774,190,443,882,162,654,942,771,275,194,613,
655,374,997,348,620,136,317,135,066,722,990,606,387,874,913,346,034,413,528,
832,022,383,721,776,641,577,462,041,831,167,866,027,423,996,297,069,425,719,
257,618,531,840,827,523,778,025,680,981,885,802,162,933,064,490,753,962,980,
660,597,159,920,563,953,261,841,689,805,871,635,733,344,207,961,849,948,726,
273,409,628,490,692,569,613,719,777,616,591,445,042,510,468,008,075,864,693,
859,353,688,474,887,145,885,073,877,472,925,287,997,753,545,619,983,873,642,
109,615,080,632,957,169,727,215,638,213,151,713,805,698,366,554,159,721,941,
260,198,635,771,041,888,242,267,112,656,602,675,730,610,899,679,719,904,356,
652,241,870,820,187,792,064,923,572,497,844,616,672,191,333,796,837,400,793,
552,777,574,556,398,519,104,715,021,096,099,330,253,849,139,073,081,649,714,
571,585,550,748,502,464,612,747,424,494,880,543,925,926,729,544,529,915,500,
657,333,222,048,989,047,959,085,538,012,837,144,973,409,439,059,594,934,343,
168,318,911,356,179,761,967,304,433,954,803,351,128,650,889,593,741,744,172,
682,073,616,560,009,053,862,013,554,146,448,006,227,243,791,550,781,706,965,
300,731,127,125,327,082,356,607,283,750,623,114,664,120,399,989,253,549,787,
029,957,371,758,735,026,342,545,428,806,392,307,252,588,537,382,131,016,608,
096,845,372,399,028,540,025,953,988,657,607,842,692,147,124,368,649,830,122,
930,477,322,213,534,113,459,431,056,720,735,640,262,728,966,444,393,451,923,
997,937,991,657,308,176,589,529,329,242,571,493,320,802,760,924,620,152,112,
660,613,852,099,348,116,874,861,984,653,152,583,155,089,614,106,439,145,509,
230,332,003,973,174,905,101,402,429,878,670,824,499,123,409,741,737,986,000,
102,715,245,146,207,547,086,362,638,938,148,220,426,367,312,302,690,396,193,
566,459,961,627,799,165,712,200,470,592,080,202,332,316,863,541,004,031,501,
376,512,963,659,038,816,713,112,046,355,078,330,900,903,664,108,025,659,572,
814,325,909,812,781,249,318,622,778,605,276,251,784,115,694,408,640,288,257,
792,477,836,201,868,093,380,426,235,515,620,142,361,522,833,032,489,578,437,
869,145,994,231,044,591,583,991,800,188,112,562,860,120,440,543,436,156,944,
633,969,429,612,054,798,420,239,641,911,360,922,123,261,118,839,964,852,838,
327,902,646,512,834,609,598,155,056,123,651,679,306,505,610,004,175,210,111,
512,362,836,757,762,773,339,692,288,220,128,952,910,446,815,595,576,883,190,
353,530,598,688,853,132,958,576,887,244,779,713,578,425,364,516,321,416,716,
014,009,111,152,679,219,313,993,103,890,737,659,663,544,414,349,800,945,354,
663,019,576,814,604,976,116,260,772,123,005,122,466,361,777,588,449,053,290,
323,166,619,320,784,934,290,499,690,302,008,669,280,193,428,577,416,280,138,
371,293,972,347,595,510,767,277,027,693,809,129,355,159,251,095,492,668,262,
634,832,269,039,603,783,791,199,436,070,100,915,580,496,033,026,236,070,838,
311,487,445,587,364,296,715,118,193,224,745,582,719,336,443,152,735,274,728,
045,327,726,068,133,027,991,881,015,313,698,650,502,413,516,813,284,206,235,
350,221,175,972,791,459,968,765,996,297,133,243,898,379,815,248,216,741,962,
844,117,747,736,232,912,342,245,330,428,849,122,032,967,816,480,622,349,771,
451,344,204,697,498,009,981,576,391,793,303,243,638,736,853,779,508,801,934,
939,975,245,605,988,989,977,406,962,059,045,612,405,670,283,802,252,573,333,
726,289,373,167,924,531,971,101,367,787,832,082,331,104,734,829,406,179,524,
515,372,880,543,588,323,676,651,661,548,807,766,741,527,663,673,375,894,215,
580,552,402,587,324,416,195,662,328,799,377,668,979,391,250,601,061,500,747,
636,938,191,848,412,368,805,380,872,585,516,463,729,054,118,508,355,994,526,
624,239,727,537,057,982,460,079,317,845,447,962,066,363,209,546,411,704,800,
022,699,892,993,540,609,517,657,092,585,964,754,306,517,656,514,671,995,354,
508,270,811,120,150,134,205,524,314,181,897,171,210,408,702,292,864,247,287,
189,143,062,846,596,792,697,000,962,242,160,983,522,372,806,985,715,188,383,
665,961,569,837,486,982,251,207,609,037,406,887,653,619,417,855,492,230,134,
237,233,757,562,410,027,865,067,339,753,693,137,784,316,890,443,274,594,786,
226,402,101,794,392,711,554,875,723,475,730,696,154,264,821,496,311,717,545,
318,211,918,765,569,892,211,217,210,861,011,190,004,063,903,918,763,628,932,
831,304,689,076,909,286,167,750,136,014,551,336,939,763,345,419,063,385,175,
296,594,060,707,865,114,573,972,744,837,836,124,116,614,683,009,069,130,996,
896,768,338,363,328,859,880,622,235,714,049,854,872,184,876,562,547,152,949,
307,312,663,099,523,121,066,974,092,618,307,820,868,561,133,591,516,345,158,
987,440,699,701,413,228,770,738,549,591,468,559,266,339,797,651,369,734,350,
875,982,634,422,467,691,000,942,130,448,935,079,149,221,027,903,401,545,789,
996,603,605,985,712,360,824,785,088,565,138,378,681,834,153,273,932,001,821,
246,005,872,879,830,458,516,424,607,553,983,775,022,505,051,640,033,950,066,
283,095,562,414,462,627,540,322,535,969,631,819,887,403,081,764,300,049,605,
885,701,357,155,389,883,908,445,341,709,284,548,023,650,618,456,216,366,475,
426,460,157,431,982,675,828,172,158,254,589,465,105,212,880,874,941,982,567,
008,901,524,477,074,675,158,727,322,268,396,594,956,627,142,100,772,384,173,
285,309,438,331,315,139,380,549,730,895,265,683,112,604,679,269,939,716,323,
801,860,111,563,039,106,550,433,063,427,960,493,671,351,030,096,615,024,996,
219,329,277,340,236,467,674,330,180,042,083,245,041,122,742,044,185,869,387,
679,448,033,003,516,134,206,053,967,489,200,137,018,341,376,546,798,092,043,
820,308,828,188,114,315,894,058,641,986,359,520,490,181,688,864,966,887,564,
844,495,488,690,653,314,704,727,695,035,796,684,441,206,835,279,062,907,938,
115,050,435,554,887,059,753,953,862,626,448,397,450,876,837,702,281,343,944,
528,528,219,137,974,749,656,355,099,518,111,455,084,070,823,247,126,567,733,
749,761,682,716,520,128,312,858,192,967,393,354,028,445,941,156,873,306,224,
896,929,074,615,128,857,611,831,058,477,829,238,642,096,981,329,074,506,343,
658,787,976,453,395,249,647,963,701,643,606,429,388,722,492,290,073,485,118,
882,108,548,218,034,285,941,182,196,188,477,312,726,478,785,951,957,000,679,
934,493,067,150,841,584,367,533,764,539,342,157,087,712,117,345,189,158,364,
530,360,048,738,804,496,706,492,182,899,521,697,149,709,990,297,159,293,434,
276,058,934,630,848,121,756,071,847,029,060,923,817,993,883,841,902,954,911,
826,842,133,680,794,254,160,600,240,494,554,692,619,722,857,876,503,742,860,
128,067,159,511,033,873,676,980,229,553,486,627,489,858,739,576,730,064,276,
047,533,343,645,414,929,732,348,061,401,577,109,992,461,007,575,153,581,722,
447,599,623,440,688,820,831,694,658,640,713,698,952,903,043,717,824,464,547,
128,600,548,101,436,470,435,094,082,045,835,918,715,600,134,458,165,952,442,
080,863,849,940,594,508,392,404,538,681,944,928,139,978,628,828,634,418,647,
165,948,926,097,989,768,653,941,383,392,212,480,730,510,856,321,288,191,412,
283,288,819,044,256,319,082,388,667,558,009,946,579,796,173,161,957,678,407,
839,750,106,904,169,405,884,255,653,174,249,944,028,240,595,017,823,612,439,
478,352,822,025,012,668,739,075,408,256,671,549,445,813,540,967,347,439,682,
434,503,365,307,268,057,947,090,615,220,459,264,042,229,122,006,785,475,910,
245,967,397,994,468,187,067,640,370,186,173,889,785,306,031,934,859,329,888,
303,417,180,366,780,022,831,806,052,879,060,632,515,520,779,477,455,616,458,
422,852,295,234,267,723,094,770,579,444,249,452,828,447,639,807,889,524,560,
166,973,001,933,328,765,497,398,386,070,188,490,776,481,367,813,216,415,412,
747,868,975,678,081,476,796,877,929,363,621,786,793,933,329,736,673,880,360,
542,176,332,965,544,597,343,900,139,770,504,918,617,113,721,111,223,057,236,
295,883,910,503,142,129,341,328,398,042,801,653,572,975,465,150,597,355,929,
629,555,019,959,510,144,627,040,494,305,458,476,106,771,551,831,480,620,259,
021,052,734,105,565,293,316,144,222,771,186,710,693,702,075,019,389,922,311,
485,683,459,888,206,305,714,285,309,851,197,162,793,790,252,434,742,149,929,
135,886,583,082,414,089,143,183,726,345,059,511,626,040,780,742,045,264,676,
009,098,541,530,677,532,988,513,911,176,321,099,573,100,860,404,043,389,760,
148,984,877,475,951,908,440,080,131,312,962,962,533,384,858,301,599,595,911,
249,958,923,735,397,434,514,652,676,660,397,308,184,699,724,934,312,043,009,
695,356,392,049,592,822,825,395,063,651,052,246,174,385,059,689,402,111,801,
940,621,728,703,683,592,814,574,303,152,298,495,830,181,409,914,366,369,911,
240,384,109,479,274,001,857,200,299,400,987,659,336,069,333,791,751,680,075,
894,027,984,512,801,248,621,010,398,981,607,565,039,268,207,925,846,346,780,
296,105,264,567,742,558,356,514,440,873,717,337,248,107,971,085,202,949,098,
549,763,889,065,613,135,316,716,374,387,245,089,026,596,318,341,958,616,282,
808,058,702,002,720,545,128,302,804,955,324,180,777,288,638,064,750,842,390,
271,449,554,851,352,286,933,267,291,959,352,212,859,993,811,707,264,577,723,
941,516,262,672,500,185,906,899,223,700,514,873,436,874,353,798,945,200,006,
093,079,581,879,860,524,889,980,694,426,614,555,922,721,040,214,915,784,949,
613,212,490,538,807,836,617,239,930,717,948,385,465,286,487,347,841,408,480,
130,655,880,802,274,025,821,234,991,167,628,849,884,460,057,597,013,071,468,
417,671,996,709,780,194,242,198,775,505,566,180,432,456,537,043,574,522,362,
088,945,257,939,285,864,767,033,894,955,860,241,701,231,272,667,827,145,879,
631,856,570,567,460,537,563,455,005,233,670,975,054,015,319,996,569,544,180,
291,702,080,693,033,338,804,198,561,949,450,883,088,300,328,723,937,876,501,
088,942,149,939,680,366,323,562,761,504,298,746,301,492,188,410,804,657,982,
384,505,266,287,293,104,489,894,074,214,857,155,146,142,779,493,818,038,166,
793,819,622,704,117,018,184,212,396,204,920,148,008,901,884,190,919,857,464,
906,528,596,409,247,644,183,132,976,063,330,225,183,641,463,663,631,605,204,
416,914,072,812,940,650,705,966,992,595,265,280,840,805,283,506,047,469,295,
504,093,745,512,368,434,834,368,833,939,071,563,689,612,525,003,759,064,488,
847,580,013,073,996,110,970,666,240,335,441,968,533,538,882,867,355,280,496,
168,422,990,046,021,037,463,656,793,487,633,979,468,231,735,884,263,042,991,
897,270,705,747,045,544,466,610,228,928,338,756,448,556,627,371,578,910,659,
234,656,676,463,338,258,816,565,637,985,377,911,497,380,232,795,906,625,203,
421,608,619,061,815,880,113,090,176,213,439,257,121,406,925,032,315,693,920,
918,782,911,269,375,370,017,660,650,521,056,263,791,077,852,489,384,964,672,
786,129,636,987,727,126,347,619,403,516,611,832,733,457,521,709,437,060,258,
873,490,725,856,054,642,304,039,630,265,071,343,326,245,653,540,901,709,668,
533,373,039,929,325,236,924,353,995,479,856,120,003,307,920,464,701,427,902,
569,413,124,788,420,692,146,862,092,319,135,648,295,741,261,299,385,755,527,
717,407,795,850,651,622,947,349,267,588,188,083,893,149,540,730,006,471,234,
795,166,916,374,529,275,727,218,297,166,026,880,684,563,960,323,004,766,061,
650,156,631,698,671,611,304,940,428,575,544,302,013,561,294,897,272,846,456,
312,871,325,952,902,509,663,536,988,228,645,945,553,225,291,567,582,034,751,
025,432,342,923,117,402,923,378,211,494,851,970,307,161,386,759,398,880,826,
979,435,843,070,704,326,313,293,574,103,211,317,775,500,326,239,383,947,277,
400,239,452,779,800,323,077,464,344,413,715,107,728,272,978,838,090,053,482,
275,057,588,962,816,143,631,814,780,120,274,381,053,765,172,331,736,879,451,
286,581,713,326,376,776,518,718,831,904,689,717,431,644,017,661,128,202,164,
057,729,323,183,649,094,047,704,316,151,623,628,341,178,475,469,199,370,516,
360,306,512,946,438,197,945,186,421,163,969,354,234,543,587,155,803,532,963,
793,553,298,787,538,528,254,980,738,818,119,938,299,971,372,721,053,964,197,
030,284,727,279,844,596,116,150,364,182,562,797,851,071,140,598,557,658,413,
846,934,067,982,671,020,178,216,958,163,562,220,490,172,539,548,155,946,671,
281,494,184,733,095,385,322,364,555,403,559,712,037,507,406,534,421,341,229,
963,074,141,204,979,135,398,183,417,963,866,387,764,247,259,525,807,752,659,
865,117,378,476,719,935,064,629,944,370,243,693,467,613,496,223,595,821,992,
488,975,302,859,745,418,659,139,358,105,699,651,024,649,553,358,868,501,527,
308,828,712,652,821,568,419,946,460,747,313,917,531,652,026,504,891,813,795,
981,140,680,088,282,024,694,399,633,654,475,174,639,354,624,250,024,280,636,
273,964,606,595,315,419,722,816,524,394,542,109,849,898,177,797,121,171,298,
502,723,175,011,690,042,205,175,737,944,081,985,313,073,738,772,620,520,447,
998,804,533,784,570,006,577,529,196,963,900,301,492,860,018,376,064,624,424,
157,249,752,229,043,497,940,066,470,794,382,647,043,003,221,774,067,837,329,
753,422,750,950,929,187,765,436,751,244,728,408,472,587,076,850,891,643,448,
144,059,373,419,581,364,144,803,050,129,139,559,871,724,268,732,637,491,982,
868,335,894,363,608,851,647,569,023,307,789,372,650,411,449,618,999,668,564,
387,316,639,171,666,018,765,258,890,638,284,393,906,080,161,285,088,416,429,
544,171,305,169,623,980,134,944,842,766,836,652,335,251,909,426,401,988,100,
605,320,985,614,182,467,901,928,177,894,279,591,697,252,760,479,814,156,606,
996,537,357,420,485,800,891,607,099,670,098,195,230,155,769,555,610,176,074,
923,002,113,391,868,219,988,326,403,855,521,821,733,203,933,763,287,810,275,
288,656,438,658,446,890,560,629,732,162,782,065,400,608,464,044,865,719,393,
560,462,808,244,768,012,467,334,654,398,940,057,766,510,842,495,758,629,889,
030,475,525,425,338,634,726,211,205,913,992,657,942,737,705,487,497,716,972,
164,710,449,156,624,614,525,847,381,591,617,506,148,220,214,575,608,710,144,
280,537,396,213,839,229,770,890,482,129,744,056,266,180,036,619,155,534,270,
052,370,863,776,049,372,755,120,342,455,910,221,529,217,337,082,949,499,563,
851,394,734,947,401,396,293,745,008,039,568,124,758,605,230,015,993,115,143,
676,229,239,442,093,919,947,341,491,817,906,230,967,011,699,850,969,205,026,
033,074,561,986,841,508,477,704,197,923,053,881,856,532,633,818,780,515,225,
718,713,687,110,368,611,954,262,381,410,699,574,452,971,517,182,466,405,705,
311,805,895,224,602,240,292,431,757,336,794,517,599,501,201,280,666,198,720,
364,582,099,400,391,065,863,198,457,422,817,333,329,896,380,194,115,386,316,
264,082,593,997,215,920,588,659,901,036,866,617,397,416,282,797,266,096,384,
800,103,207,672,378,293,545,585,425,531,185,878,330,644,705,092,233,986,074,
733,202,044,591,433,387,558,530,830,214,997,778,136,107,449,096,217,032,560,
880,547,704,465,223,306,941,463,964,137,067,736,625,522,083,361,876,152,626,
712,547,891,293,946,098,767,393,724,062,543,063,430,214,862,312,666,612,989,
392,851,018,830,656,883,300,531,535,045,756,480,175,770,649,066,621,146,598,
184,262,054,106,219,816,151,218,593,952,217,274,397,576,653,178,137,177,551,
730,627,007,762,355,709,098,033,151,578,658,023,078,399,268,848,891,804,905,
579,354,954,378,095,479,468,795,307,346,715,608,360,748,387,678,289,032,710,
648,343,061,482,515,425,216,961,694,501,040,547,123,314,388,473,552,107,555,
283,304,056,635,166,107,240,332,698,825,031,330,002,379,970,992,287,914,974,
158,885,506,419,324,704,960,710,687,039,999,481,470,672,736,075,827,803,801,
279,795,650,067,089,058,407,902,425,462,722,530,999,849,212,024,819,717,622,
726,705,121,259,677,155,536,471,924,346,675,497,561,821,151,605,824,564,423,
031,502,987,764,714,882,808,184,420,745,453,933,705,862,222,428,071,270,766,
859,624,328,078,408,447,203,514,937,465,977,865,418,186,580,827,385,813,497,
494,622,780,824,192,704,858,475,176,820,332,478,253,388,388,190,341,371,416,
906,516,188,323,531,108,229,191,505,656,098,984,212,239,051,453,344,693,718,
974,344,392,418,041,949,500,393,742,502,310,169,429,006,154,346,299,483,292,
614,379,478,823,108,431,841,017,316,061,283,727,685,038,979,712,054,033,631,
576,843,394,104,940,634,377,925,490,950,721,088,678,882,051,025,572,435,192,
255,702,621,910,115,522,766,206,831,244,642,045,181,009,778,123,713,203,343,
716,162,395,619,615,265,590,034,328,656,473,948,692,913,250,824,720,273,966,
003,438,574,577,931,895,889,574,325,013,835,868,092,786,266,426,443,325,565,
831,862,136,074,295,708,838,928,041,405,868,077,676,138,699,014,073,629,733,
913,199,085,849,738,792,788,114,281,038,500,573,874,764,624,640,899,661,568,
262,911,080,909,694,436,619,908,231,621,429,283,567,332,814,381,577,453,832,
112,448,988,585,626,808,826,098,168,145,699,127,427,502,982,064,207,845,388,
498,307,485,417,123,475,572,381,609,991,503,291,523,008,054,761,607,721,040,
947,629,432,319,064,397,290,629,099,010,324,928,821,819,129,676,560,856,914,
969,127,361,112,868,055,050,642,127,909,136,919,724,619,410,008,814,403,499,
969,607,124,819,486,770,197,775,647,801,343,264,550,503,543,823,444,765,759,
483,657,655,730,473,947,695,894,297,570,380,188,168,550,028,251,418,072,057,
222,505,010,145,393,885,501,852,952,790,236,807,661,769,733,738,254,777,056,
422,394,783,961,915,720,846,492,828,895,927,261,105,947,410,732,658,141,785,
373,386,133,718,643,294,672,747,753,261,576,908,770,957,748,981,066,914,107,
682,422,454,475,324,040,684,492,240,149,700,299,489,458,090,472,327,192,046,
986,926,174,506,964,167,325,544,072,884,573,173,238,516,530,144,995,664,493,
345,246,506,110,646,582,191,269,359,173,507,213,253,715,866,430,829,479,919,
903,833,707,243,447,898,921,007,197,660,453,673,200,828,470,876,885,075,400,
876,926,571,805,256,391,413,496,100,111,540,022,278,945,500,789,724,166,520,
154,654,558,359,904,784,488,866,325,550,271,740,650,583,606,326,708,630,458,
893,027,236,145,584,310,187,992,873,411,136,692,961,342,933,644,314,426,191,
448,845,156,090,331,864,091,638,326,664,058,804,970,869,079,570,298,597,578,
010,539,829,517,936,342,551,392,655,209,408,784,089,505,379,572,603,026,181,
706,505,338,000,653,913,359,595,437,052,193,055,370,665,689,674,040,773,827,
143,573,613,646,644,479,231,668,991,058,131,678,116,447,257,777,227,141,421,
590,676,056,172,420,896,025,502,184,228,390,875,016,758,075,623,481,477,537,
466,888,099,538,549,247,034,360,988,016,723,536,624,974,647,142,026,107,884,
230,401,149,854,050,116,104,570,805,076,735,959,386,287,844,522,589,335,774,
089,276,210,830,746,157,420,319,762,742,320,688,201,708,658,860,204,651,792,
413,826,971,967,467,948,063,646,495,628,002,971,991,614,302,125,304,831,032,
034,803,641,398,827,636,590,546,048,670,533,370,348,515,913,212,626,363,606,
691,600,641,336,214,418,722,802,664,134,598,565,119,786,668,670,412,320,277,
538,700,474,016,588,272,154,634,840,398,098,825,601,205,820,963,890,710,368,
780,366,846,008,858,327,165,512,535,747,476,800,766,776,222,784,305,930,937,
191,539,970,155,899,999,679,213,737,283,665,969,639,936,484,806,586,611,153,
218,951,831,144,961,321,791,953,132,134,885,334,999,774,171,616,111,554,597,
024,819,741,085,446,251,135,135,200,333,116,347,233,655,301,766,784,734,670,
927,230,085,882,643,029,887,710,254,110,151,227,807,560,773,736,873,991,485,
976,507,116,623,288,049,082,443,608,510,212,369,455,753,571,981,147,381,803,
269,424,681,413,307,419,182,375,209,568,019,211,138,816,317,977,383,244,293,
133,068,636,543,546,231,118,747,063,841,312,462,275,260,442,429,760,076,240,
481,115,492,570,307,134,892,952,747,348,266,255,729,271,978,434,055,060,016,
371,064,894,048,358,928,966,699,323,824,563,838,719,914,789,069,671,429,611,
691,782,020,638,651,930,439,450,625,418,743,627,365,127,186,275,513,256,029,
430,807,185,472,439,401,801,409,315,497,489,116,609,973,329,224,269,258,723,
580,144,817,656,542,879,385,172,184,304,109,173,828,129,133,853,797,705,159,
627,350,813,586,928,864,602,334,435,620,534,092,672,559,657,912,558,949,096,
307,887,776,768,191,526,795,040,166,856,979,268,608,119,310,572,919,020,702,
911,276,598,561,942,015,794,906,288,033,756,837,721,490,393,871,871,204,936,
326,065,698,852,719,810,623,650,082,321,150,877,730,598,058,266,594,006,485,
943,622,879,567,258,799,720,799,955,186,529,005,920,221,084,117,694,234,498,
745,741,390,891,296,350,181,043,873,076,268,213,974,670,385,627,017,347,513,
618,202,277,761,424,441,610,261,119,572,008,317,756,402,156,145,862,438,037,
870,355,974,261,949,423,343,435,936,991,308,726,437,327,835,761,084,606,241,
476,942,137,756,938,384,189,267,898,748,319,648,309,970,691,381,867,000,135,
214,727,976,907,581,749,399,025,957,668,933,796,714,941,400,586,953,065,605,
061,002,000,165,640,021,199,319,437,598,729,643,165,867,811,611,044,932,679,
104,494,800,477,843,643,507,807,428,017,204,555,702,217,913,698,546,815,273,
238,213,450,844,342,771,914,814,495,737,072,313,602,045,085,408,057,155,312,
687,013,978,332,318,321,052,803,536,462,878,533,583,558,193,319,576,137,334,
868,247,143,542,319,251,066,224,418,746,021,445,513,394,838,016,455,539,633,
482,741,894,582,137,470,303,053,551,788,169,906,605,061,092,718,361,318,788,
623,349,429,662,209,902,374,594,767,580,666,026,802,470,965,897,138,495,078,
711,158,023,021,181,602,628,784,128,625,574,459,974,296,559,655,791,724,530,
522,740,563,862,945,454,303,178,252,121,488,232,573,349,870,472,663,107,974,
360,140,954,908,653,546,642,689,870,124,326,771,843,346,260,579,697,504,282,
074,096,940,496,161,889,250,468,357,251,750,882,336,677,621,880,416,973,325,
113,627,432,397,790,726,590,764,321,524,917,779,829,465,157,586,829,129,872,
651,202,580,058,645,171,042,075,511,889,882,769,021,357,272,858,270,590,614,
921,467,504,714,076,306,413,905,304,564,871,267,427,154,517,196,517,939,536,
036,662,629,126,767,744,784,325,345,330,923,207,541,592,982,513,734,337,235,
512,454,633,368,308,489,938,147,596,638,606,711,429,514,605,663,067,329,907,
894,033,234,608,254,894,364,588,559,686,259,536,411,633,443,703,409,839,389,
505,187,330,366,633,420,903,934,921,889,371,494,366,420,084,817,997,923,393,
383,627,991,351,708,137,690,058,389,704,385,859,193,252,456,064,274,474,108,
098,242,939,222,234,953,974,137,263,421,685,730,316,808,670,895,648,666,569,
011,063,112,608,260,371,860,476,942,716,696,831,915,470,161,430,105,088,804,
037,838,222,013,962,917,784,470,448,566,704,405,210,410,275,313,416,044,469,
246,411,984,585,669,646,410,123,481,298,691,727,588,708,371,584,111,753,088,
955,556,105,557,266,983,330,298,464,289,122,154,270,475,001,268,706,555,770,
139,925,872,790,014,791,573,875,341,107,467,735,756,490,254,123,619,179,517,
653,495,095,463,606,348,654,341,539,202,314,289,223,916,015,750,451,897,521,
141,437,563,386,223,827,790,636,446,059,538,983,295,024,156,387,400,823,734,
386,428,506,172,944,785,981,929,213,633,740,525,523,884,835,668,675,685,052,
591,292,584,351,108,281,640,786,932,890,770,008,600,820,261,767,231,785,444,
125,446,031,322,739,575,091,467,300,668,437,745,496,644,852,918,168,748,643,
778,692,536,444,618,949,635,937,865,616,631,193,374,339,039,410,741,774,288,
191,122,770,477,935,741,632,615,229,836,146,419,440,037,854,955,897,591,421,
644,023,368,721,512,592,395,288,868,324,781,845,491,846,151,432,813,818,767,
708,709,369,109,052,238,763,402,455,650,891,151,961,134,019,749,922,060,165,
233,896,105,592,846,172,643,923,462,404,421,145,403,438,669,997,823,438,807,
161,911,597,918,956,129,072,161,866,066,070,200,672,169,138,644,929,410,747,
286,196,850,469,141,304,044,550,681,060,357,183,944,463,440,351,165,219,909,
406,161,395,113,088,994,891,521,847,237,982,250,403,520,471,444,064,314,307,
362,899,669,825,740,325,815,235,456,226,353,659,716,311,098,063,286,418,835,
984,807,431,492,833,351,130,352,285,963,737,646,762,834,014,072,801,476,195,
999,353,436,836,158,502,470,483,869,265,865,431,391,374,245,043,136,489,983,
981,839,368,078,807,934,260,535,131,056,219,633,446,604,195,940,191,465,573,
884,637,395,592,840,279,057,129,358,506,934,227,624,793,229,187,227,179,738,
005,908,938,595,944,747,019,154,921,064,784,057,683,302,786,164,490,897,819,
364,501,628,639,458,356,532,302,995,451,485,511,105,312,738,221,332,935,323,
151,522,246,051,926,781,064,496,088,026,161,429,472,671,488,591,677,639,287,
885,019,134,525,940,057,033,353,157,371,642,279,497,684,841,709,152,295,492,
375,177,211,259,487,801,425,061,040,417,135,096,903,599,456,090,452,089,209,
727,881,778,669,318,640,644,645,264,832,993,555,485,402,802,456,878,556,885,
251,411,047,125,345,093,280,306,817,152,849,828,627,494,575,869,408,838,063,
925,569,004,538,330,831,654,252,631,704,944,621,004,912,532,331,233,341,237,
724,537,859,106,331,197,029,142,172,093,443,357,779,641,362,617,819,553,008,
394,054,475,383,688,514,780,148,336,357,893,720,628,260,687,716,839,460,668,
462,625,629,191,517,857,880,571,636,604,896,562,881,326,146,720,100,493,344,
217,621,752,918,241,270,651,331,090,305,130,491,260,707,603,811,202,600,840,
875,095,607,713,676,635,807,788,862,778,931,554,653,546,052,367,242,388,021,
290,716,681,203,366,930,718,085,695,057,050,027,524,398,438,870,723,769,482,
723,615,939,299,104,694,080,944,260,655,486,658,657,402,672,909,724,187,561,
417,132,222,435,376,850,989,173,765,870,880,794,978,324,111,412,557,666,448,
640,192,464,842,760,130,504,521,437,800,825,289,945,069,062,466,824,305,842,
502,657,582,336,179,330,401,228,458,128,065,770,184,597,824,444,862,463,598,
658,233,726,755,245,135,642,038,913,136,142,140,574,733,735,193,003,047,728,
923,802,288,506,904,732,050,005,732,468,716,148,640,529,489,659,663,140,202,
381,490,123,337,907,941,730,502,567,770,280,534,678,351,353,637,264,495,057,
753,173,211,407,916,839,840,042,432,938,164,350,253,744,146,962,796,513,595,
916,161,431,877,115,521,421,455,225,258,895,274,489,548,939,462,633,558,677,
869,289,912,474,024,498,793,468,125,056,244,566,280,779,681,431,650,873,121,
816,011,761,310,526,152,023,378,172,432,876,810,608,818,131,555,449,541,906,
127,777,507,893,255,651,474,375,812,991,433,122,724,623,899,911,462,999,111,
308,890,858,122,871,267,479,599,401,532,795,888,665,543,694,221,408,769,574,
169,991,846,559,731,551,411,814,757,911,307,778,019,125,205,360,771,658,165,
377,052,873,285,535,913,815,871,142,126,289,511,824,687,060,850,225,833,461,
906,064,129,177,789,926,339,231,414,434,857,318,618,507,559,761,736,843,083,
535,791,071,150,225,556,352,286,505,574,142,889,474,378,955,528,140,151,288,
273,312,920,400,299,713,802,730,692,356,294,145,791,985,533,009,327,945,603,
204,490,999,992,675,672,971,099,469,178,554,664,807,194,794,011,601,859,029,
128,765,204,949,536,865,096,664,439,328,385,860,385,614,384,124,864,719,362,
116,646,978,075,174,953,345,840,543,615,137,098,262,465,219,108,871,327,937,
724,714,361,986,052,069,806,564,926,568,463,391,383,782,657,400,583,187,433,
426,727,608,053,999,946,267,617,802,042,167,416,178,712,815,710,864,964,741,
348,468,558,501,399,089,600,657,021,105,520,880,977,829,913,614,618,421,643,
248,161,561,615,088,523,971,896,730,794,104,545,295,587,587,690,918,064,548,
895,552,027,669,389,906,423,315,465,708,612,445,031,913,764,170,618,407,555,
375,863,029,993,712,344,286,114,977,739,810,392,128,604,132,622,092,092,120,
965,487,864,515,009,221,012,239,054,062,715,918,610,397,634,376,280,095,129,
958,348,438,915,434,763,627,749,339,977,818,796,947,147,335,902,602,562,509,
213,693,767,295,562,807,396,151,381,556,487,636,699,378,798,598,542,010,867,
851,207,085,235,809,970,341,488,777,605,880,271,905,476,881,706,383,787,938,
970,433,906,231,798,406,932,629,722,455,521,186,878,430,745,864,043,525,545,
551,480,641,599,124,427,768,792,468,493,370,940,725,056,643,375,066,621,038,
188,360,221,680,205,981,703,469,061,467,002,445,786,077,186,743,300,635,662,
572,309,372,310,674,060,419,519,222,847,388,822,193,391,922,307,254,715,475,
434,718,763,995,437,401,309,408,725,958,881,252,064,120,510,160,827,991,901,
725,883,991,998,775,462,498,758,894,264,881,840,504,869,193,241,879,289,913,
195,002,263,254,957,544,511,837,401,388,948,617,920,408,846,968,920,928,460,
481,137,097,419,054,906,685,066,694,826,094,986,848,832,414,478,482,985,519,
341,836,507,201,573,398,229,492,647,125,523,443,264,722,983,728,632,679,546,
056,277,906,388,659,177,920,371,010,421,491,287,178,167,758,473,355,396,903,
850,259,713,209,138,388,890,301,826,778,538,772,119,916,998,712,434,379,524,
482,273,338,562,389,720,399,903,505,489,617,092,683,669,992,023,939,863,564,
238,997,611,535,424,926,529,229,612,457,899,385,111,620,146,522,247,041,102,
010,813,583,034,833,199,498,133,855,333,939,569,808,857,263,572,922,989,508,
730,407,110,957,114,788,600,950,114,410,074,370,489,519,406,765,008,714,028,
770,372,201,857,516,369,113,390,802,407,737,071,392,530,502,863,912,352,884,
273,306,392,051,053,378,185,797,253,788,807,501,741,405,312,452,326,489,445,
988,163,541,853,048,692,333,618,093,210,153,408,133,705,452,863,230,769,088,
510,984,224,696,588,651,366,246,551,913,870,901,960,602,922,261,082,965,913,
013,368,336,228,958,550,278,657,084,022,975,431,254,797,637,588,644,321,162,
295,684,100,020,875,762,337,594,810,222,144,288,985,416,925,158,319,498,591,
203,987,034,415,126,543,545,179,006,425,979,889,581,007,174,685,099,262,386,
894,503,089,541,673,386,602,572,476,521,615,508,848,625,315,757,831,585,500,
818,815,083,412,357,944,913,188,167,252,872,635,202,826,990,065,563,430,742,
526,578,115,376,748,937,543,980,359,876,758,519,808,413,500,389,670,463,090,
604,050,118,241,455,771,691,320,773,053,930,539,700,641,617,610,411,295,960,
221,034,085,417,136,120,427,152,418,768,589,752,051,477,314,600,433,206,580,
692,490,697,515,988,944,328,735,213,522,874,613,552,110,230,670,358,276,624,
825,450,406,947,822,568,622,889,004,846,602,949,867,378,172,719,005,056,984,
039,986,057,153,127,717,094,091,063,198,496,551,411,435,249,337,178,987,385,
787,327,569,954,624,869,406,309,946,855,079,927,465,545,622,021,102,968,271,
612,102,215,408,668,091,895,800,512,349,795,074,855,158,120,615,288,826,292,
087,259,607,859,074,822,406,399,470,615,086,322,426,029,098,845,508,881,648,
925,893,774,030,085,732,649,654,383,296,568,778,843,341,791,395,573,012,741,
397,613,310,168,295,944,005,669,547,627,342,370,786,786,803,799,610,794,058,
054,970,309,882,778,140,821,157,031,102,302,689,542,388,775,403,673,407,034,
433,473,537,324,655,116,740,384,328,697,596,405,648,255,205,320,698,064,934,
265,418,037,231,901,099,694,781,772,753,070,104,586,862,402,159,498,143,105,
705,089,988,169,675,659,389,087,538,162,040,582,019,477,329,062,014,571,007,
598,047,525,634,026,777,715,520,255,833,296,419,717,827,010,818,891,253,360,
755,703,124,887,203,959,592,951,606,160,482,451,357,934,645,091,433,239,494,
821,036,290,896,372,078,440,996,206,096,077,036,109,399,316,431,438,556,864,
669,003,678,585,170,756,213,822,194,701,813,573,233,496,359,359,276,973,024,
587,433,303,509,325,795,474,335,341,857,408,145,986,081,852,650,524,109,685,
779,637,497,158,416,773,117,343,252,836,583,192,659,316,974,980,728,583,801,
285,757,115,310,287,156,645,836,176,879,470,990,775,691,915,972,545,414,924,
021,676,709,220,072,129,968,634,821,215,739,858,502,914,076,470,358,666,870,
657,152,524,391,438,359,752,997,888,884,395,741,535,977,484,128,019,048,347,
538,645,823,131,301,489,640,988,478,254,441,546,502,348,970,770,669,573,896,
028,372,171,445,274,324,480,759,298,956,088,569,638,983,925,332,385,786,802,
511,313,571,554,243,315,040,268,634,081,775,831,699,938,330,158,882,421,033,
696,167,480,110,896,036,983,686,312,505,907,075,691,988,785,835,161,951,755,
241,274,425,376,270,548,606,613,455,913,842,044,184,525,075,894,017,361,769,
877,044,892,066,745,910,912,779,130,064,874,736,868,476,575,386,663,613,721,
810,337,539,323,063,351,300,403,531,720,067,255,000,910,085,979,525,527,254,
054,580,283,889,957,633,061,706,886,141,143,697,367,451,055,530,635,179,634,
387,810,034,175,920,328,248,667,018,883,392,439,771,674,340,631,036,360,902,
673,131,941,174,276,660,072,144,276,682,579,604,119,813,403,166,990,592,084,
017,378,305,054,430,668,900,055,238,924,036,347,564,584,636,227,743,354,227,
390,680,490,335,935,470,662,021,140,420,279,974,033,518,676,337,986,716,656,
424,090,212,813,328,689,316,191,342,928,308,586,031,973,640,880,480,353,177,
240,995,737,011,992,770,532,355,233,780,708,445,181,598,364,689,481,791,246,
983,274,964,504,738,123,517,380,110,698,387,660,530,516,618,457,684,417,042,
098,756,282,829,766,610,108,659,103,924,703,730,864,110,121,710,098,926,443,
733,370,234,656,640,116,001,169,484,664,268,429,379,924,611,208,826,363,350,
660,393,563,744,676,093,453,369,277,733,165,611,753,887,433,645,611,091,165,
481,785,058,123,395,703,317,533,613,084,567,071,654,026,059,436,049,898,325,
771,195,356,653,172,294,141,761,446,277,043,892,002,266,328,838,638,934,926,
617,703,416,123,544,361,709,509,779,201,537,525,739,397,284,372,754,424,211,
396,518,139,423,587,526,642,843,305,687,676,678,319,603,137,154,351,926,884,
179,346,368,263,340,036,211,634,239,100,002,593,237,726,121,855,258,106,649,
318,717,265,164,221,464,383,865,959,535,951,693,343,126,245,125,601,864,775,
229,982,880,598,720,848,257,902,507,013,539,638,824,713,340,698,374,691,739,
233,289,953,930,013,067,002,086,503,802,016,561,057,374,823,584,712,721,707,
325,012,903,832,523,554,679,593,317,842,733,349,526,552,394,455,954,232,734,
428,073,148,851,424,361,977,221,437,244,782,866,664,997,057,918,812,707,838,
535,913,631,045,174,399,484,756,704,762,373,548,765,441,939,978,212,569,811,
490,755,006,039,059,131,078,610,396,743,808,879,036,407,091,689,336,638,432,
768,469,156,435,586,981,046,823,718,478,042,808,350,817,411,758,194,535,122,
283,681,346,641,282,670,225,127,288,823,174,882,640,719,095,949,700,530,337,
373,827,988,048,719,257,901,747,074,631,565,573,881,698,310,724,538,411,571,
308,783,158,816,464,716,698,229,649,857,047,240,883,793,356,146,604,849,575,
935,959,134,495,693,358,276,234,094,496,024,417,279,400,593,147,279,912,090,
887,976,881,044,441,057,197,037,905,694,059,445,212,113,067,650,342,931,406,
401,102,099,497,537,867,417,046,915,370,510,344,004,864,101,028,843,619,940,
368,829,154,528,212,962,484,483,664,414,633,398,840,517,283,122,518,247,784,
888,513,326,105,758,173,267,570,468,310,859,077,802,551,209,563,399,261,863,
755,862,313,687,235,098,920,160,120,908,320,155,753,648,011,354,588,829,339,
228,265,644,602,904,069,356,421,947,422,905,345,978,751,513,391,725,187,265,
243,972,760,245,948,675,001,373,969,023,216,790,123,510,491,570,675,374,483,
476,569,268,466,245,909,161,602,886,545,839,209,601,250,393,018,411,513,412,
053,941,899,121,240,897,290,389,726,963,539,390,025,571,968,099,181,537,336,
408,588,510,056,344,729,133,231,696,282,831,596,910,205,781,083,085,143,201,
374,178,563,316,024,976,482,656,209,437,293,422,381,661,667,140,799,358,832,
632,569,943,546,479,694,397,331,102,671,964,532,694,438,693,733,699,704,362,
227,576,576,105,155,946,986,871,829,079,769,910,075,777,510,625,322,885,062,
179,613,122,826,797,027,913,220,625,004,677,633,171,756,364,781,082,200,054,
563,044,909,914,546,604,814,760,833,373,129,338,548,020,572,079,580,236,752,
770,738,042,339,678,378,517,227,605,546,456,630,926,641,564,167,011,860,083,
504,470,855,257,939,251,950,442,040,916,995,506,727,044,506,081,857,907,368,
615,855,059,239,888,216,438,385,910,367,824,097,859,262,303,215,312,228,000,
186,329,979,415,231,935,336,845,410,673,693,198,365,727,509,525,031,818,198,
788,589,623,718,567,007,194,473,904,932,769,994,837,003,606,604,991,545,080,
096,524,610,212,346,397,117,105,817,535,042,979,794,579,543,277,634,124,749,
709,389,476,598,983,002,478,298,457,301,558,391,137,598,210,793,157,634,833,
444,396,920,541,115,237,394,939,699,373,191,608,748,042,850,058,730,931,242,
714,410,354,475,317,912,405,726,406,869,163,065,895,804,044,715,129,951,999,
203,752,815,344,273,837,496,595,279,776,732,914,446,051,617,755,289,183,958,
048,791,011,987,586,888,808,698,922,457,078,439,242,006,971,314,090,067,848,
825,880,424,591,632,887,632,026,979,191,374,907,261,625,297,721,436,013,609,
802,103,474,246,593,765,495,011,080,864,818,332,298,394,713,766,615,816,006,
044,072,596,757,902,617,488,120,062,702,600,181,258,428,690,016,598,403,105,
254,293,922,795,772,694,939,179,952,679,462,349,298,550,506,909,407,245,222,
750,258,581,804,744,621,803,623,714,529,389,673,853,088,773,002,298,729,393,
350,590,462,866,590,979,019,971,883,046,008,314,202,827,748,046,731,137,179,
049,889,636,614,673,549,014,375,617,749,035,357,294,737,341,397,035,507,363,
525,875,740,535,046,783,549,740,938,400,054,433,470,381,833,858,418,119,199,
430,720,845,843,182,134,579,242,204,966,109,661,313,261,289,306,766,892,116,
306,289,697,490,497,076,880,984,515,921,071,664,865,999,912,344,436,507,098,
951,210,416,588,913,234,119,780,882,706,677,603,805,790,517,615,858,706,181,
416,387,009,930,280,275,286,887,868,498,505,065,418,868,074,703,053,445,044,
871,291,091,543,111,551,185,190,882,098,636,066,230,275,615,363,319,584,330,
502,949,074,115,436,642,654,125,742,750,941,902,935,719,393,486,954,014,578,
538,303,992,198,467,155,526,771,336,287,600,445,948,723,274,712,213,325,106,
080,856,384,873,557,165,297,082,964,306,537,863,690,104,087,396,525,953,775,
985,221,102,605,407,272,435,668,672,947,199,233,806,752,836,856,274,011,177,
522,143,800,778,808,581,895,956,142,450,507,828,429,054,948,657,117,324,773,
014,744,848,367,222,440,706,812,546,980,420,621,169,109,879,732,045,745,875,
013,221,955,649,224,209,453,187,195,945,031,473,565,721,485,465,270,824,178,
607,509,545,429,565,243,435,126,196,542,542,898,660,744,348,759,314,780,395,
826,616,379,619,930,575,601,618,333,896,562,997,534,755,000,887,955,509,806,
846,956,901,924,519,176,537,895,970,333,407,242,094,341,207,892,991,404,306,
679,146,219,467,377,545,534,499,434,004,151,038,601,367,949,031,844,328,604,
772,802,842,254,831,259,227,545,407,553,635,480,177,639,938,016,827,322,318,
981,344,894,409,862,103,595,863,335,453,621,524,078,864,684,058,334,875,860,
798,577,201,466,707,981,650,706,447,256,209,375,967,450,371,130,211,983,248,
027,077,566,343,490,685,246,636,807,766,209,279,066,513,953,945,648,398,954,
896,338,582,541,347,342,450,669,513,019,604,322,964,506,263,635,991,060,740,
537,798,025,007,457,238,500,304,181,987,237,178,604,665,656,168,108,962,159,
113,826,411,079,615,331,747,942,098,295,058,576,255,519,540,940,834,803,923,
836,592,857,162,767,276,269,479,112,437,954,399,996,614,045,836,950,449,852,
125,121,667,756,145,890,050,902,013,730,413,368,044,889,143,174,320,365,844,
392,102,571,133,191,234,009,249,887,260,449,239,507,469,480,991,265,165,883,
207,562,095,915,811,884,992,020,014,083,102,298,013,383,505,189,005,313,644,
717,390,323,098,069,929,006,360,128,287,609,808,597,549,197,636,917,596,857,
732,888,359,358,741,190,056,552,700,153,879,025,915,118,927,248,579,812,764,
406,436,576,394,421,032,501,253,481,475,704,665,530,031,504,911,896,300,278,
058,062,143,819,310,523,158,740,016,701,497,827,374,535,295,168,594,231,258,
409,971,017,836,382,106,378,318,880,368,640,426,160,455,957,794,830,953,839,
369,930,800,466,510,657,468,547,230,989,301,399,067,161,411,010,708,196,547,
995,988,388,047,698,250,755,009,515,224,146,311,529,649,932,050,163,164,577,
141,169,396,298,909,382,510,618,452,639,756,034,603,761,281,199,231,598,793,
626,457,144,472,019,637,541,020,373,019,069,124,712,207,830,045,141,396,476,
462,268,301,404,953,488,791,594,413,834,941,074,143,976,975,325,363,007,642,
867,551,879,097,001,215,858,082,291,282,941,760,267,680,441,834,383,567,482,
660,586,898,468,788,921,767,641,775,938,953,951,568,519,304,729,407,154,889,
277,749,438,903,940,292,138,592,916,418,452,666,117,936,506,682,251,715,571,
421,100,512,461,879,919,308,003,305,177,930,502,726,199,456,404,717,739,008,
716,954,134,705,844,432,306,049,484,718,427,049,765,679,212,380,756,306,598,
603,795,495,694,416,130,645,417,922,872,080,538,952,755,702,085,196,098,420,
106,110,401,325,250,660,673,490,593,735,005,647,931,815,252,033,314,615,801,
254,626,951,175,019,088,725,498,510,660,949,641,541,505,686,895,634,346,872,
851,902,874,995,344,921,463,483,561,921,518,033,466,041,605,842,072,422,113,
751,575,060,079,573,452,228,152,377,266,348,590,912,238,865,465,060,692,041,
145,835,026,546,901,204,471,286,121,642,177,569,791,939,429,994,560,555,469,
232,886,349,162,876,609,840,107,211,206,860,296,014,457,105,100,567,303,082,
757,154,276,610,022,767,481,587,539,959,402,007,859,828,534,484,672,125,280,
996,218,039,602,931,649,526,470,354,180,785,457,704,153,853,322,416,086,213,
809,203,079,499,362,998,765,950,026,952,983,873,945,539,408,876,384,467,386,
584,682,897,013,052,637,092,708,912,446,783,263,709,002,355,314,156,866,943,
613,657,848,610,953,353,257,421,222,229,553,506,984,830,518,294,676,165,020,
792,878,573,591,052,999,359,826,183,737,517,726,240,858,984,893,959,131,162,
339,270,679,522,598,023,686,002,393,509,655,411,119,761,686,697,423,042,772,
107,724,741,565,279,260,589,359,013,281,861,652,051,193,944,258,211,391,702,
563,572,154,158,257,420,796,468,145,516,000,043,163,019,068,746,501,779,659,
400,389,151,949,305,507,815,659,678,111,963,754,584,593,552,430,135,647,485,
270,044,108,736,858,009,654,019,495,095,994,818,880,401,796,797,971,006,252,
137,853,207,693,153,788,883,486,025,093,269,765,218,563,305,070,832,730,729,
472,602,052,359,908,604,784,845,142,085,978,069,291,694,067,423,115,016,329,
535,546,713,578,143,986,790,107,510,694,084,975,302,536,943,144,136,730,496,
978,053,682,703,169,921,959,534,714,593,701,704,649,278,277,559,544,073,382,
178,191,008,753,384,640,292,717,026,390,467,750,219,697,435,358,043,511,623,
074,434,593,382,903,699,387,372,352,159,524,367,724,680,835,707,483,781,440,
271,846,449,775,466,235,414,219,796,760,163,049,103,502,524,949,772,755,128,
839,986,103,050,552,639,530,566,424,999,584,051,750,181,058,059,766,028,402,
752,250,495,170,244,339,886,698,395,306,094,732,743,949,019,371,996,874,755,
507,524,547,553,163,589,320,699,264,854,754,710,646,603,343,396,304,956,363,
307,321,007,940,199,224,358,549,743,706,685,346,552,532,406,045,672,808,924,
169,473,438,579,018,278,930,322,929,025,503,472,424,358,992,611,794,202,776,
953,767,353,862,721,930,461,862,684,137,248,478,264,123,787,149,469,873,624,
418,847,059,461,006,783,687,151,106,719,043,605,606,124,296,651,955,925,497,
533,885,764,230,461,561,095,441,152,016,220,657,244,172,452,336,904,075,215,
205,971,250,322,319,454,213,387,874,264,412,418,492,517,551,465,762,080,122,
102,866,546,328,056,799,880,704,069,077,287,006,069,113,108,638,223,119,277,
576,738,821,822,955,191,338,222,903,687,080,217,467,447,119,190,316,999,878,
041,697,502,706,536,718,122,416,847,000,692,191,956,124,044,708,856,847,527,
140,277,263,101,623,165,338,205,177,526,915,226,287,648,565,130,516,552,200,
177,395,182,147,532,277,339,978,556,381,800,791,322,329,301,271,510,202,165,
890,518,138,636,385,648,168,918,684,718,377,285,861,676,587,977,530,876,225,
146,906,043,641,273,335,985,354,739,791,681,598,121,425,848,134,310,674,886,
542,109,432,367,534,278,786,759,297,090,325,480,126,504,711,908,936,092,633,
671,980,121,645,545,010,187,351,557,065,243,722,189,217,597,421,877,792,996,
371,521,538,824,457,764,297,988,476,722,689,002,335,342,530,092,112,513,191,
083,755,018,962,664,489,069,804,379,901,534,034,823,951,616,655,262,593,869,
875,420,791,356,485,402,324,070,916,694,181,194,316,454,234,689,630,131,482,
935,881,313,777,212,428,437,716,560,676,535,862,005,827,236,356,218,231,933,
070,313,104,411,341,528,252,298,730,222,251,193,132,376,268,793,445,202,225,
105,734,091,212,347,807,777,507,733,722,534,687,748,064,187,078,715,582,427,
320,969,809,523,772,023,935,905,282,310,870,181,943,151,766,176,635,711,744,
944,460,948,575,603,095,435,507,573,144,236,714,249,288,243,335,886,424,565,
614,358,595,904,742,686,824,826,087,691,022,598,245,943,565,133,274,890,518,
965,033,288,402,700,764,003,112,502,647,103,869,332,424,369,390,293,602,149,
661,534,818,409,782,181,327,842,644,643,605,898,455,243,569,146,951,663,262,
352,410,438,527,965,816,515,364,264,902,303,924,404,859,992,359,829,854,195,
678,882,639,113,506,790,986,168,361,006,862,268,149,180,059,222,884,908,075,
495,599,905,727,348,029,150,580,407,853,461,417,897,166,761,655,492,833,435,
265,587,495,006,670,465,595,797,113,044,169,177,521,566,365,309,811,380,058,
064,662,032,542,586,829,457,554,045,941,708,643,712,593,394,526,238,105,979,
628,578,716,167,455,625,814,862,025,310,988,085,500,394,915,245,979,857,850,
562,212,052,338,120,754,280,028,057,365,231,396,450,710,302,865,371,795,380,
990,146,830,399,886,819,505,618,078,771,018,404,893,094,111,568,280,210,690,
375,354,205,337,852,721,027,373,303,302,625,329,543,486,069,946,757,732,809,
334,485,123,352,742,681,421,229,814,439,269,478,142,894,697,458,360,645,919,
092,180,819,994,881,683,136,496,639,966,359,476,892,333,722,341,994,083,096,
465,458,268,866,114,651,077,172,550,922,480,894,753,261,788,818,547,171,934,
294,787,700,437,375,937,620,811,825,915,286,117,923,133,952,012,433,977,024,
488,994,286,128,807,024,390,116,066,235,859,468,921,437,736,360,648,108,927,
894,911,349,449,303,667,027,590,368,169,300,939,231,612,692,817,904,379,854,
273,914,575,094,148,119,848,278,556,628,902,211,531,503,758,694,034,347,306,
020,278,654,504,988,221,112,596,914,875,021,485,789,808,312,794,030,066,082,
069,608,923,166,003,445,834,077,528,323,164,271,490,097,460,316,003,593,632,
000,474,655,436,268,080,188,307,647,709,060,774,951,670,182,049,589,344,562,
986,763,620,817,933,848,866,182,597,967,675,773,646,867,211,424,130,157,992,
515,080,693,583,746,535,663,644,637,266,101,475,005,964,372,758,177,916,085,
465,640,915,904,703,263,157,676,463,463,265,248,654,454,673,070,274,915,351,
075,690,257,482,092,457,814,292,427,877,191,440,707,503,374,345,375,210,263,
758,733,674,722,187,940,425,595,907,116,520,792,024,761,924,164,753,833,060,
372,870,821,228,710,666,625,694,930,218,133,693,639,411,830,800,592,613,476,
210,119,939,684,604,630,406,382,787,442,013,174,034,945,069,936,240,690,572,
276,383,944,312,984,169,834,291,285,664,954,484,295,734,570,867,289,044,098,
472,318,495,950,853,186,250,618,500,841,742,391,110,062,902,287,913,331,483,
212,295,672,694,612,225,224,269,764,894,290,020,353,893,144,064,889,319,719,
686,359,894,725,840,920,426,590,149,916,799,352,719,186,644,987,833,766,347,
354,444,612,447,241,999,691,911,941,667,722,631,562,766,412,749,253,606,494,
920,604,661,749,368,788,825,535,605,953,519,408,772,523,622,706,437,693,979,
657,478,842,421,417,579,836,699,487,122,865,618,535,799,116,105,300,973,315,
961,944,824,877,814,799,557,705,128,125,289,289,095,557,217,689,629,249,772,
257,693,421,663,244,780,073,697,817,613,773,559,964,467,124,464,801,462,150,
220,738,960,358,198,031,213,503,527,903,249,931,798,784,175,141,574,619,611,
104,885,429,645,374,532,062,665,093,685,604,887,564,899,061,296,191,910,474,
342,327,608,083,452,168,354,965,435,379,494,263,638,915,304,502,506,555,698,
666,252,361,460,994,543,739,112,163,429,908,865,340,266,922,099,814,952,273,
315,086,899,934,312,220,036,166,970,313,208,297,173,436,079,173,621,961,237,
304,202,383,566,434,076,449,896,516,435,155,249,604,442,903,531,485,124,195,
680,113,545,021,065,204,121,784,327,505,304,064,555,099,041,965,611,693,525,
873,737,513,918,863,971,262,969,744,464,339,339,487,019,186,156,282,602,487,
139,473,137,248,042,535,676,942,210,943,365,740,895,100,295,486,060,253,536,
044,870,396,061,656,208,928,891,772,159,218,821,672,089,591,953,964,392,625,
102,984,338,016,299,480,029,697,691,030,215,364,502,928,696,338,663,128,942,
002,466,430,019,328,857,813,365,857,844,014,938,425,283,550,740,119,565,730,
884,709,334,223,230,791,596,401,943,462,280,687,041,949,801,974,781,566,973,
481,856,754,237,587,681,078,500,448,493,032,093,083,864,533,963,380,509,458,
132,970,532,370,306,659,656,803,382,816,947,067,455,402,592,947,319,838,262,
980,077,950,219,874,810,311,011,200,363,954,429,805,365,948,224,652,399,176,
803,895,967,195,510,713,131,643,387,148,429,253,535,763,013,657,837,201,071,
155,196,069,832,370,458,348,321,948,275,997,422,961,375,193,341,109,995,830,
288,003,011,376,733,562,877,526,929,325,283,103,939,323,298,357,673,027,860,
563,487,058,356,317,173,809,815,058,498,759,316,004,480,452,365,216,585,746,
849,014,936,303,521,144,651,193,334,852,348,224,212,905,359,469,640,881,923,
772,922,367,414,790,373,922,924,407,111,219,485,118,260,945,905,147,635,947,
936,343,195,589,998,700,069,069,285,017,538,168,901,872,566,044,955,163,082,
696,856,794,064,545,805,762,402,515,438,919,028,964,682,640,653,383,889,304,
163,883,932,337,304,020,302,044,500,544,743,225,462,783,893,730,249,503,065,
942,332,467,241,150,523,488,807,867,974,980,707,062,753,827,899,690,761,490,
894,950,907,873,207,194,945,366,685,923,826,151,789,726,027,100,849,242,634,
872,303,098,573,289,795,741,595,179,045,739,961,521,281,189,209,108,713,201,
624,994,549,314,440,582,302,915,752,639,566,476,836,129,806,626,011,994,357,
765,228,435,135,863,690,906,097,093,478,401,076,161,805,233,592,736,042,726,
311,303,420,749,116,868,743,467,338,556,529,089,825,969,876,473,437,403,774,
683,836,686,590,459,224,299,715,127,027,848,800,498,990,173,305,525,282,847,
771,365,206,325,901,508,617,428,256,248,372,872,373,797,612,421,670,688,005,
409,875,634,639,677,359,075,371,360,973,942,431,026,765,181,221,033,888,218,
129,577,702,555,918,861,291,587,156,177,809,765,376,860,475,571,536,728,283,
783,299,409,795,989,380,744,986,411,816,139,716,842,803,902,241,692,033,781,
638,713,146,429,908,692,915,207,106,934,196,469,363,535,043,517,548,775,784,
156,989,759,279,581,434,854,244,422,810,670,276,915,339,641,781,849,024,778,
427,517,388,120,114,652,060,448,654,246,661,311,910,070,486,668,974,390,218,
970,252,571,348,355,804,558,572,507,015,328,740,278,704,307,373,009,925,858,
856,824,889,391,541,686,119,208,390,146,576,384,184,365,923,960,955,181,698,
680,688,841,284,257,559,276,530,437,945,117,928,123,658,238,454,453,287,748,
790,492,619,836,142,482,891,493,219,292,798,821,482,236,610,074,972,689,316,
794,662,007,346,460,146,049,858,972,127,864,121,457,425,927,802,725,300,417,
916,140,389,457,527,815,505,186,913,267,568,733,497,994,492,734,557,468,615,
648,265,835,668,954,299,659,994,940,411,870,765,574,876,072,028,857,886,184,
898,093,276,294,005,668,694,453,703,335,160,944,001,079,763,653,346,561,584,
712,903,840,438,438,635,274,802,120,504,171,402,561,933,805,153,015,794,622,
336,653,711,173,652,645,167,072,968,163,756,994,232,324,437,391,098,286,028,
081,305,226,007,486,316,511,530,227,406,147,533,278,410,390,476,983,655,247,
087,409,774,524,807,004,152,691,492,427,259,661,686,096,567,795,114,260,745,
954,952,736,971,212,052,790,794,154,893,748,420,131,410,527,358,750,009,329,
438,544,223,032,136,722,928,556,998,150,032,289,363,086,385,794,988,612,316,
619,864,998,787,699,995,185,122,539,208,590,327,402,711,011,106,945,357,951,
842,265,563,576,428,186,510,239,897,474,263,704,139,271,671,899,846,303,855,
464,486,444,755,408,910,125,274,378,254,822,088,332,689,676,682,170,060,543,
548,020,772,504,300,213,270,290,917,704,757,941,152,993,346,477,140,961,426,
530,291,326,878,684,163,922,509,519,633,551,562,889,244,893,877,918,207,692,
528,077,910,284,108,991,139,273,617,088,308,374,183,599,808,658,999,130,543,
872,195,685,999,581,982,442,049,679,704,721,937,829,923,077,906,020,597,943,
934,374,622,802,093,676,282,431,012,586,171,691,008,981,923,902,338,322,847,
061,698,443,112,289,210,100,800,060,043,397,595,785,189,775,450,741,294,866,
674,357,435,522,440,585,249,452,278,475,528,586,833,122,135,590,217,429,595,
184,751,600,846,594,201,787,303,140,307,587,374,618,272,812,939,702,976,371,
189,377,898,490,908,634,873,929,122,379,745,795,646,959,508,230,980,386,412,
534,626,912,935,258,112,796,284,421,482,461,205,985,025,749,144,751,993,875,
618,046,790,688,362,849,405,147,781,146,988,952,682,640,570,515,757,590,022,
096,171,581,126,506,438,287,468,735,161,241,485,050,756,074,947,830,082,609,
821,342,477,860,944,744,627,394,176,727,329,861,347,246,852,205,430,662,590,
531,861,339,069,614,483,511,271,589,429,011,071,554,946,512,242,892,143,718,
330,299,644,082,739,827,256,380,488,997,999,942,260,285,320,090,872,335,316,
125,753,495,410,927,944,953,271,463,788,604,590,660,407,727,575,266,414,148,
573,072,515,045,788,629,251,602,977,199,118,476,979,620,347,097,909,322,555,
368,350,925,252,235,006,296,207,994,139,091,694,999,914,712,047,148,767,641,
295,951,916,650,153,392,771,605,948,528,114,794,433,944,951,646,384,783,979,
925,583,666,947,863,510,690,598,178,707,668,677,476,513,934,844,082,109,450,
655,229,021,314,342,586,177,589,807,510,736,147,463,176,458,384,147,311,609,
887,487,398,565,927,413,685,470,149,992,647,339,999,418,414,287,765,759,188,
894,291,923,148,947,590,046,462,265,820,154,278,385,979,169,171,367,572,571,
858,779,948,397,370,692,157,584,318,411,853,886,255,711,232,049,814,346,056,
253,777,087,456,516,340,225,143,437,059,051,215,146,235,182,490,659,507,857,
308,772,275,845,505,474,150,090,941,547,930,191,007,869,123,932,547,911,048,
756,721,158,267,458,940,550,474,964,516,847,030,525,853,776,275,490,862,733,
676,611,983,212,117,973,775,588,791,060,071,868,616,763,451,635,725,544,395,
369,587,629,778,820,649,356,906,255,191,930,989,214,089,117,209,653,133,519,
262,562,189,864,476,400,368,267,208,212,053,443,727,271,196,280,251,790,167,
778,768,408,137,159,267,094,623,705,472,343,168,064,677,278,998,393,647,556,
765,419,214,985,769,167,534,599,468,848,602,029,349,668,830,242,350,421,106,
792,300,035,077,826,266,927,011,211,479,723,303,604,715,657,669,051,191,358,
990,793,140,591,714,048,250,462,701,060,998,442,958,625,913,102,513,486,189,
251,307,077,343,418,555,200,692,860,231,742,148,843,772,611,461,719,553,624,
029,295,338,249,465,046,780,314,591,448,596,782,495,091,470,445,458,603,535,
827,148,211,989,286,306,966,462,764,361,411,966,020,910,699,378,242,995,426,
206,110,110,275,541,066,415,519,124,377,720,299,525,241,629,013,413,164,633,
043,299,619,680,866,267,248,143,375,310,544,389,601,122,858,076,077,941,777,
502,149,936,687,896,389,203,279,145,631,048,988,533,906,752,749,185,346,235,
630,095,276,831,475,568,899,370,249,864,787,334,228,273,769,731,077,718,219,
861,635,913,384,094,831,646,138,617,780,843,508,445,478,063,971,053,842,922,
156,052,682,848,792,928,052,972,952,263,001,740,270,172,788,601,705,077,273,
716,794,604,796,963,473,047,021,161,272,470,864,555,565,732,702,772,777,880,
153,908,502,815,033,006,725,801,328,119,948,491,852,554,596,284,633,125,084,
073,059,425,306,615,260,924,946,321,831,398,989,248,126,359,734,135,062,614,
798,739,281,363,901,746,166,751,242,049,868,458,996,299,408,037,909,106,334,
806,744,305,739,108,920,508,505,248,413,465,599,818,091,599,521,033,677,100,
794,779,734,997,101,279,797,963,969,477,816,527,324,782,977,287,471,887,835,
279,537,558,894,584,807,048,992,720,236,528,762,603,803,108,123,554,932,555,
921,717,000,637,757,652,045,193,365,638,512,704,563,992,122,095,809,754,860,
619,457,676,680,354,483,373,290,644,793,526,251,135,364,620,440,550,793,114,
589,696,530,307,841,729,608,643,093,225,458,004,019,874,097,712,022,245,651,
380,955,238,863,887,236,172,865,866,202,629,893,806,387,830,604,507,051,369,
711,501,086,422,582,705,950,012,947,539,649,683,547,707,850,967,559,026,723,
985,254,107,464,064,021,755,579,726,650,293,083,096,565,967,278,372,478,554,
495,899,814,060,005,767,930,778,158,971,517,322,836,702,901,944,757,463,994,
116,804,329,892,429,558,161,105,558,724,791,583,531,636,062,282,902,085,848,
361,508,846,671,872,472,684,764,379,651,824,737,769,367,664,572,127,991,048,
495,042,712,556,643,114,677,877,926,489,851,461,833,845,103,514,015,047,914,
628,079,401,695,009,103,617,650,067,968,611,144,985,079,560,275,856,941,699,
643,021,126,403,544,099,534,513,132,353,101,395,079,578,313,306,341,669,288,
617,176,455,091,643,133,858,454,714,854,817,826,446,669,614,505,783,858,191,
832,021,942,777,712,591,821,544,794,714,666,773,586,174,579,439,195,336,087,
738,421,437,917,241,837,160,405,846,701,242,835,921,314,714,470,490,833,935,
480,839,839,146,983,489,894,457,004,063,341,475,700,193,189,334,047,922,224,
935,225,985,258,539,132,120,727,485,526,787,577,177,156,816,165,956,846,767,
336,411,476,189,056,937,549,520,020,996,265,628,073,391,152,808,934,709,797,
929,052,696,573,299,164,313,475,727,267,833,143,790,977,448,618,743,756,251,
989,082,014,659,120,072,871,353,273,822,647,522,333,015,960,628,703,423,532,
597,675,149,291,095,855,104,984,963,962,567,534,902,690,423,487,541,039,159,
641,129,357,535,914,216,671,134,115,882,892,093,433,773,027,519,860,444,548,
178,293,061,917,832,914,563,540,774,190,458,143,901,388,310,328,832,236,877,
116,194,972,250,838,823,599,499,974,227,488,627,621,016,068,972,444,296,345,
801,450,242,524,653,725,272,416,900,504,509,826,372,295,247,855,557,322,204,
952,675,486,807,091,958,600,234,748,530,101,572,271,469,774,668,227,828,358,
373,294,859,053,395,969,550,216,583,970,747,252,498,310,154,850,674,628,791,
679,301,485,310,151,736,513,378,452,259,325,959,815,416,401,029,019,444,293,
621,706,436,760,603,800,367,878,089,178,890,256,646,523,413,000,142,741,614,
674,145,000,047,867,832,289,077,995,798,153,551,263,347,132,088,353,460,619,
404,533,972,036,048,287,199,355,983,303,107,472,982,677,139,117,685,682,626,
569,515,066,246,832,991,142,486,982,850,141,188,482,500,169,005,975,327,001,
138,866,226,826,926,181,225,906,013,156,403,252,222,431,504,657,471,294,429,
578,268,310,870,664,532,542,910,515,774,507,474,216,915,295,747,486,455,548,
957,673,049,945,119,857,961,107,778,949,656,668,334,479,602,186,249,002,808,
647,917,411,194,731,007,665,310,030,131,828,737,759,827,146,979,369,149,735,
793,728,817,258,077,670,766,498,042,402,276,132,245,316,163,563,475,067,674,
267,919,527,083,612,230,060,431,222,999,137,907,304,781,236,784,317,544,338,
503,483,518,859,062,325,913,465,805,922,233,147,697,907,484,839,378,225,451,
761,339,246,733,860,704,811,939,153,922,339,175,223,249,635,543,845,375,162,
561,230,271,787,249,411,821,153,569,660,894,492,539,854,304,036,706,076,947,
620,592,603,226,322,756,986,654,700,698,206,310,172,832,100,144,113,189,150,
659,319,450,180,216,464,106,752,330,896,732,560,735,131,923,659,090,691,838,
546,446,639,528,466,652,694,511,539,744,047,746,609,057,028,611,517,887,314,
795,249,352,524,120,122,701,607,853,928,474,521,849,201,583,282,294,409,644,
727,148,475,435,987,721,995,642,069,617,571,746,699,960,883,778,279,813,344,
029,700,309,386,153,777,154,653,103,898,093,451,062,865,193,461,431,791,250,
039,625,210,046,106,478,200,817,706,773,235,436,671,539,516,448,220,629,083,
069,322,561,389,124,483,203,858,482,166,409,303,400,793,947,403,089,635,110,
976,595,500,195,431,394,670,587,181,846,459,230,468,391,398,647,518,871,081,
422,166,006,869,662,795,425,413,038,876,626,504,555,431,613,809,850,300,127,
982,666,051,408,772,961,952,871,929,482,576,215,555,469,977,953,284,650,349,
912,332,043,005,082,708,774,825,247,186,374,977,649,157,090,236,732,676,289,
600,373,392,937,245,601,815,462,624,925,257,946,364,028,196,250,255,235,855,
148,395,888,546,669,724,320,935,213,162,230,798,796,266,093,266,128,254,748,
168,007,767,038,958,246,399,013,618,198,461,152,130,870,359,673,500,074,713,
217,256,076,519,820,850,463,759,839,616,799,675,996,490,197,305,169,145,885,
551,557,934,773,138,047,419,184,885,371,347,718,399,568,152,984,674,087,051,
524,503,175,537,202,516,628,293,443,432,060,673,112,470,830,267,136,171,408,
006,437,039,303,116,664,428,877,935,804,577,051,482,852,025,438,731,462,828,
303,788,740,048,948,463,306,268,187,799,107,371,441,670,893,213,201,950,911,
799,549,785,135,748,205,900,148,731,669,367,216,088,111,404,222,205,832,508,
572,237,635,603,960,431,249,681,108,477,997,185,657,582,753,261,544,221,086,
982,400,243,864,772,213,700,709,568,765,266,318,234,799,557,070,991,845,750,
591,889,536,609,728,763,470,205,742,833,098,870,730,940,764,279,872,685,798,
231,143,031,193,118,361,101,646,078,980,846,068,979,222,930,557,260,173,358,
175,985,713,824,152,437,517,779,278,665,958,827,610,347,469,848,499,024,743,
203,115,181,603,874,114,656,684,899,639,381,261,210,308,227,284,131,033,397,
164,654,141,848,051,150,469,871,056,861,516,596,227,867,480,695,824,426,148,
188,365,097,146,911,873,588,407,555,580,689,140,436,237,544,167,784,464,506,
895,807,741,231,608,319,134,433,914,064,211,143,026,664,053,718,409,318,764,
025,305,070,917,910,827,556,579,776,053,409,184,313,055,520,473,584,005,451,
251,126,624,680,417,006,991,438,677,240,790,113,376,924,777,467,787,127,229,
622,107,570,124,913,402,681,986,342,945,814,787,276,842,728,650,391,581,590,
947,548,473,622,632,681,627,597,868,882,424,372,491,773,325,100,023,391,102,
281,711,255,670,950,284,391,509,564,321,580,664,006,735,561,298,175,404,740,
859,300,608,411,604,664,205,479,554,740,188,329,782,166,730,245,101,893,535,
811,584,664,399,928,379,720,322,847,679,020,779,995,406,546,984,564,666,148,
225,046,892,426,951,096,340,126,773,283,049,989,071,945,351,152,881,210,241,
532,257,790,328,380,195,676,816,817,086,980,884,611,720,147,970,830,593,588,
959,390,899,439,962,553,833,303,315,547,848,268,132,828,686,292,327,897,382,
104,450,675,651,569,210,011,240,092,585,174,695,844,347,876,267,154,465,954,
611,928,134,958,940,813,849,092,236,743,609,700,671,000,043,491,098,352,156,
370,640,374,267,707,513,733,253,097,552,735,454,770,712,894,286,372,443,916,
021,959,638,497,289,305,276,573,202,196,413,959,296,215,269,836,596,647,047,
591,359,764,225,985,817,989,336,860,186,326,755,287,323,564,142,575,050,750,
519,683,997,122,488,547,236,717,635,969,268,264,431,684,820,547,319,586,073,
413,165,646,425,622,456,752,398,777,187,504,649,285,912,228,383,505,785,304,
177,719,257,431,680,199,493,230,051,119,100,827,900,790,988,399,087,654,821,
956,632,491,859,920,042,336,162,719,343,252,380,728,292,499,121,007,351,701,
768,484,698,356,720,424,764,498,738,454,845,666,404,989,219,332,397,111,725,
994,511,029,044,149,805,894,933,541,391,976,138,769,895,876,058,081,438,714,
121,995,984,656,129,808,522,369,489,932,220,331,330,985,877,639,696,170,750,
236,220,147,578,355,578,567,179,314,498,436,716,840,969,705,257,163,853,527,
666,787,797,137,083,084,630,151,458,256,218,698,590,590,500,811,138,085,751,
080,957,457,994,943,379,945,810,819,906,450,355,087,207,746,705,108,366,150,
727,982,387,983,210,531,300,726,997,251,924,870,118,225,603,430,552,729,328,
868,619,757,321,729,675,060,007,190,168,125,251,896,630,334,281,616,409,534,
979,597,163,332,314,568,169,654,407,815,474,722,691,310,242,384,832,382,108,
496,350,290,468,630,972,162,393,448,904,188,319,680,921,986,175,409,179,021,
672,970,635,811,069,412,305,374,489,482,727,664,651,958,277,867,529,753,260,
665,859,302,584,742,022,157,075,715,087,911,945,846,710,182,923,325,438,990,
292,636,517,331,234,556,097,202,746,827,541,410,866,547,961,184,112,188,350,
332,608,514,290,224,789,592,125,706,262,665,399,520,194,883,355,766,991,282,
192,819,127,188,482,161,594,826,661,639,361,838,492,738,971,972,136,776,668,
293,670,637,172,955,330,122,478,672,239,390,270,614,678,973,529,413,107,925,
497,127,172,755,953,871,828,939,168,808,402,575,990,925,613,367,752,701,062,
230,047,286,946,402,638,880,233,832,240,178,944,594,241,452,888,392,769,794,
243,319,141,513,792,214,846,738,430,833,324,774,154,715,887,647,015,894,663,
398,323,928,484,926,649,601,218,730,075,667,825,226,345,022,525,766,088,509,
467,652,090,973,267,807,632,709,343,840,605,793,688,487,815,387,759,599,291,
161,636,447,979,163,723,128,717,563,620,950,875,765,526,885,133,351,169,641,
149,064,905,089,528,419,351,519,280,217,540,919,649,379,915,654,101,513,863,
697,564,677,856,645,140,627,118,346,646,392,154,336,472,566,940,282,952,133,
174,749,983,651,556,749,684,028,969,526,658,511,927,441,272,527,806,478,566,
612,620,035,788,521,554,184,838,113,058,426,664,606,820,333,531,193,005,430,
295,059,109,904,515,697,605,203,797,623,155,650,110,954,312,916,791,642,955,
874,708,774,210,155,407,024,823,204,043,250,400,436,034,481,403,089,761,302,
942,568,948,104,639,612,847,392,678,572,475,006,374,796,495,418,570,561,048,
972,667,131,591,577,420,955,802,367,945,371,737,222,533,725,391,780,046,384,
616,251,683,756,230,849,411,517,743,752,629,556,459,025,704,779,639,119,808,
618,635,351,391,355,911,928,597,918,996,720,949,639,533,161,922,810,181,245,
761,868,867,827,645,390,823,735,767,434,070,004,706,456,160,601,662,443,894,
459,010,620,647,781,182,513,521,669,534,681,838,099,900,255,035,031,076,853,
554,494,452,953,341,931,583,189,489,552,212,447,375,547,547,657,998,021,914,
115,911,208,295,682,002,893,797,877,181,454,370,574,053,291,289,022,662,403,
008,959,966,120,307,237,067,963,710,916,906,731,227,385,818,080,619,055,804,
390,692,140,362,839,593,049,006,897,255,637,308,590,366,815,703,402,445,113,
357,622,840,035,875,925,769,131,174,591,247,193,246,662,530,908,185,682,017,
002,977,855,139,433,822,510,887,639,558,200,528,732,696,307,401,772,209,917,
896,962,763,603,970,554,594,536,405,566,862,107,073,308,573,427,066,684,374,
727,011,006,228,462,663,225,218,552,048,545,391,873,636,685,883,954,151,624,
749,673,244,612,788,570,988,195,011,730,931,709,241,814,661,132,318,603,565,
395,411,866,720,149,432,961,904,104,686,284,471,701,610,044,826,145,036,254,
641,833,135,785,638,091,525,187,510,234,394,572,680,966,084,120,744,610,673,
482,172,147,518,829,668,738,191,667,336,071,086,362,072,509,369,366,680,781,
647,982,977,933,118,040,907,835,411,795,087,528,550,153,423,407,929,772,965,
499,435,805,843,738,904,891,067,685,436,484,813,989,869,820,816,129,900,049,
508,314,209,583,488,669,831,199,485,327,495,435,208,705,093,643,874,487,285,
154,055,277,856,314,478,223,473,606,366,374,816,773,581,882,874,313,171,344,
698,978,425,211,117,423,828,143,174,190,489,282,758,952,954,038,556,669,913,
058,579,664,132,265,736,555,728,214,986,596,614,041,035,169,993,431,825,581,
632,038,541,781,996,219,611,765,661,401,789,279,384,307,180,644,318,665,761,
826,016,236,475,839,352,890,319,935,220,641,012,817,972,963,207,092,983,133,
148,865,484,611,099,459,455,189,581,619,861,870,249,892,286,801,078,572,780,
245,820,100,884,339,637,635,400,628,981,630,700,949,338,651,173,855,826,103,
852,309,768,641,402,776,405,995,667,508,784,812,506,216,435,885,199,448,156,
467,361,439,356,182,825,005,346,980,054,293,636,693,976,936,729,749,839,840,
868,797,581,825,151,003,785,195,211,072,648,850,009,156,945,411,845,601,721,
600,907,729,979,959,477,248,403,102,770,170,201,111,986,148,818,122,106,647,
876,548,332,817,634,727,914,797,930,024,446,152,877,147,402,248,950,691,918,
646,354,289,381,749,691,461,589,389,522,853,391,522,650,468,914,431,091,880,
155,778,574,868,065,686,048,977,874,741,343,892,707,968,508,796,584,559,628,
962,243,657,311,701,931,176,657,484,891,705,002,087,363,501,076,758,082,775,
070,619,752,425,813,858,026,883,701,986,319,245,822,387,037,466,423,125,322,
435,022,157,750,873,500,902,042,846,820,533,529,171,696,787,415,695,609,654,
999,931,536,621,516,299,459,319,239,397,536,688,448,492,098,832,702,771,801,
059,001,264,701,367,405,830,210,125,940,165,701,907,105,416,318,831,496,982,
235,301,481,098,429,250,832,828,905,041,002,776,162,886,452,762,943,460,237,
199,202,944,663,314,856,229,358,085,879,513,401,866,611,513,989,510,818,935,
002,208,987,813,247,197,981,782,036,039,443,227,636,930,027,848,550,314,066,
406,987,341,419,939,338,823,791,293,668,892,640,373,395,862,044,058,345,690,
886,870,744,211,062,958,911,765,570,277,632,817,737,604,129,793,295,159,624,
612,645,480,101,600,666,880,065,000,126,323,940,516,780,160,163,783,203,946,
085,507,544,730,338,558,682,521,059,425,548,718,367,759,523,869,870,882,963,
912,128,862,951,033,419,766,912,148,425,149,577,057,706,157,274,835,815,626,
926,133,019,181,055,596,724,450,093,143,425,221,233,485,084,086,655,527,121,
718,889,724,754,099,334,649,596,018,475,814,262,565,785,511,783,851,443,266,
833,750,427,105,810,176,544,495,970,019,003,908,407,475,036,815,743,844,063,
251,020,238,037,821,708,905,918,289,741,928,905,531,984,651,927,361,100,733,
390,683,192,676,711,367,776,856,836,232,442,671,379,262,633,822,088,413,847,
060,903,756,827,686,474,223,505,178,441,829,333,406,025,302,593,640,299,430,
819,391,167,714,999,135,945,826,587,692,955,544,516,226,718,655,582,176,676,
859,084,391,858,475,324,150,693,492,161,635,326,075,118,217,278,373,096,140,
668,630,322,817,885,760,127,991,684,902,757,089,184,050,674,008,359,773,436,
813,470,422,446,739,025,126,826,239,078,651,069,826,337,765,742,286,284,619,
329,240,884,166,848,144,857,784,509,485,136,763,208,040,734,841,784,925,064,
515,299,818,920,709,173,489,193,127,028,088,299,376,645,499,086,588,428,644,
663,034,464,960,885,826,151,804,400,469,612,107,929,041,036,954,189,016,837,
202,759,731,937,241,732,008,800,691,375,750,950,502,322,303,815,797,155,734,
292,423,552,786,289,887,450,400,578,183,422,368,647,506,781,599,224,049,613,
527,490,240,010,702,273,135,495,929,694,246,763,282,855,003,566,353,307,858,
714,284,037,843,763,349,666,386,368,063,151,321,049,709,302,953,026,319,836,
296,166,933,947,153,743,846,231,980,624,363,278,727,176,639,952,538,742,589,
434,370,281,960,519,165,015,297,178,006,776,889,196,787,717,593,221,786,175,
034,464,365,634,587,375,575,824,237,137,372,214,376,686,929,709,083,255,382,
292,859,193,809,416,649,130,149,083,675,360,771,632,631,030,257,944,978,531,
741,555,964,287,002,580,018,673,501,693,533,520,657,238,451,824,343,836,952,
006,709,840,913,814,001,987,102,271,163,174,544,042,273,243,793,078,707,373,
484,253,948,305,033,776,222,827,137,696,682,683,200,564,692,710,581,485,413,
429,900,368,943,567,522,922,501,965,808,210,299,573,684,712,220,076,526,096,
000,411,358,802,666,466,360,853,615,417,795,399,230,789,669,329,546,580,939,
347,504,532,768,305,204,763,006,512,551,960,918,306,384,435,359,527,683,550,
493,891,697,749,284,216,789,674,857,472,358,847,017,433,453,683,754,487,467,
485,993,744,346,236,234,467,894,654,973,990,910,584,757,305,279,222,636,407,
521,890,101,098,035,318,960,491,195,205,196,202,049,240,675,642,650,993,673,
368,034,065,277,047,736,311,502,591,887,938,180,356,029,362,457,331,259,202,
094,884,134,454,577,201,994,647,186,727,550,287,200,631,489,844,809,670,945,
179,474,775,015,379,318,764,571,419,859,422,942,151,699,660,977,366,949,694,
351,113,583,663,933,663,263,794,057,212,932,323,145,844,088,651,302,892,853,
928,047,745,930,641,678,337,052,490,907,451,186,883,623,369,334,740,280,959,
003,678,142,139,343,455,935,182,626,151,892,876,740,110,053,136,880,566,873,
353,010,954,599,747,975,172,893,662,174,934,715,603,828,800,749,560,669,369,
708,208,670,434,809,451,311,561,151,546,727,507,247,993,038,841,372,016,095,
266,371,898,438,379,281,416,736,030,076,672,615,052,540,611,951,515,063,993,
740,633,374,423,362,448,745,733,542,144,840,713,941,892,998,912,125,821,772,
412,390,484,391,004,662,107,813,569,211,262,806,589,498,061,332,956,556,843,
669,556,816,169,334,791,841,148,411,576,807,535,556,485,046,467,730,610,325,
110,916,486,123,765,799,888,673,575,379,964,982,827,694,283,037,698,200,092,
753,554,492,345,780,156,947,803,054,137,528,766,841,383,851,573,244,266,448,
110,157,211,296,225,924,020,076,407,363,492,927,075,801,714,827,988,346,696,
977,281,939,021,622,775,914,309,907,489,405,048,997,806,042,739,332,205,814,
702,845,997,622,414,652,144,530,587,646,515,545,021,118,096,868,249,251,809,
869,098,333,482,084,312,241,993,025,947,457,030,301,246,864,479,134,817,732,
347,016,723,785,073,436,205,400,287,752,732,914,810,066,299,754,202,417,988,
496,014,156,903,683,531,907,882,395,018,945,333,119,475,985,951,170,432,114,
687,884,154,286,908,742,174,757,862,855,200,977,212,442,756,178,316,678,316,
543,819,794,914,108,275,958,172,486,363,597,844,213,118,010,432,049,809,351,
971,396,572,555,314,780,933,318,941,752,504,369,596,007,950,143,058,722,508,
624,273,547,819,796,361,748,284,333,400,394,276,673,795,494,383,262,403,604,
860,297,816,758,614,663,385,998,826,637,117,856,396,470,432,087,083,318,045,
390,002,675,624,787,533,414,458,111,583,105,404,794,730,494,062,606,693,530,
086,470,842,897,193,132,541,695,513,456,680,729,030,849,212,586,300,063,521,
806,623,930,016,190,653,205,313,177,511,695,061,025,641,483,033,167,351,049,
785,456,559,841,819,627,947,194,513,690,586,922,263,528,951,767,474,288,709,
066,762,751,599,455,955,144,707,470,035,133,745,711,519,805,512,350,883,348,
660,710,989,035,024,225,495,438,212,586,706,841,459,877,365,322,826,592,311,
155,252,184,034,891,264,977,174,069,102,263,636,171,096,959,553,460,411,400,
900,129,620,007,582,721,674,295,841,758,864,769,237,298,866,947,883,928,634,
277,897,747,561,438,345,766,139,294,134,560,063,398,296,202,349,208,469,130,
768,773,271,987,033,163,403,295,034,393,103,427,402,697,299,242,152,152,889,
651,412,169,519,575,054,811,946,189,966,436,410,434,154,149,806,543,774,228,
377,411,525,675,338,759,957,742,887,937,661,877,924,670,757,662,095,638,773,
891,103,905,177,947,876,301,842,704,992,954,111,906,105,558,125,767,568,526,
173,841,274,939,335,101,825,721,204,011,328,650,162,729,458,101,904,371,082,
971,915,968,312,976,691,944,917,381,262,674,145,771,574,675,820,005,246,031,
825,118,076,163,175,132,128,048,687,352,060,121,746,390,398,922,482,592,110,
896,767,830,355,039,213,129,894,682,027,055,026,618,835,854,065,906,615,705,
050,357,677,817,342,107,095,068,061,452,811,415,666,194,142,415,480,478,716,
501,377,506,965,456,952,398,493,800,561,282,103,042,168,899,067,225,801,088,
494,870,408,900,467,227,107,816,047,950,415,629,759,794,541,642,564,689,572,
038,933,701,076,840,039,738,098,050,849,269,402,380,073,043,633,082,949,369,
235,163,803,656,232,996,737,345,075,975,728,731,322,606,653,690,912,653,764,
904,490,494,426,615,669,095,765,568,761,020,222,584,261,570,107,368,464,292,
257,815,320,478,415,959,796,680,464,265,625,444,718,523,648,179,678,911,373,
757,628,242,800,409,410,637,133,778,694,559,677,899,687,570,281,627,175,374,
052,670,709,222,368,105,179,538,292,898,976,183,777,938,089,374,594,718,217,
450,407,894,421,165,765,951,162,914,452,384,514,622,278,689,204,948,344,274,
785,080,494,591,026,560,757,878,225,108,650,956,308,962,853,092,870,046,766,
171,699,250,532,042,529,443,254,091,330,156,937,505,020,980,883,685,278,911,
073,576,499,861,472,554,690,643,322,094,623,046,843,897,793,293,325,243,466,
167,724,162,115,524,226,080,576,605,170,574,474,625,563,674,222,248,463,518,
157,628,936,101,136,148,522,793,991,351,802,455,940,074,295,272,878,787,522,
575,278,580,010,617,042,791,553,135,978,568,492,790,580,303,733,893,559,325,
262,390,084,284,580,294,681,520,570,480,580,217,590,591,289,438,846,648,425,
218,360,995,442,098,918,573,299,537,345,932,411,750,555,797,780,513,315,856,
145,582,460,906,883,057,538,656,416,594,119,229,064,103,981,025,172,292,277,
173,715,332,479,706,320,502,299,207,826,683,993,598,387,253,827,485,718,282,
820,881,003,312,143,516,967,596,628,386,352,963,189,856,805,264,587,222,570,
247,544,077,899,593,214,605,071,398,294,173,278,928,135,019,307,854,882,296,
025,253,059,295,362,680,568,058,150,785,511,176,395,546,939,742,204,031,749,
613,609,769,145,075,952,730,370,411,255,173,748,307,274,405,214,663,528,938,
177,982,873,380,439,474,792,593,809,842,759,114,171,742,795,749,556,858,612,
133,512,282,094,958,807,296,952,932,278,264,997,944,981,254,537,459,153,160,
106,219,895,183,979,635,671,600,545,478,481,292,103,449,982,617,940,447,375,
263,027,200,023,901,654,638,778,844,197,818,466,400,270,214,835,470,346,212,
884,051,329,003,144,045,080,057,498,633,381,839,920,113,713,180,606,425,939,
069,496,960,537,348,505,703,390,757,033,766,902,759,107,520,030,974,452,138,
204,933,361,136,314,890,783,284,326,970,019,651,705,446,149,548,791,193,812,
398,247,915,379,177,497,784,938,103,123,853,236,133,251,880,292,576,411,244,
925,120,086,656,788,911,918,695,458,305,110,343,814,365,767,474,811,857,194,
667,964,842,189,411,455,845,959,338,720,613,894,813,163,256,561,758,894,891,
286,954,919,600,848,544,789,480,910,381,049,187,084,547,136,351,314,867,352,
389,303,073,615,347,771,699,418,519,240,970,551,425,986,281,602,570,795,728,
910,785,587,334,926,473,276,609,015,988,841,489,364,777,834,763,250,904,243,
071,235,398,830,630,204,246,622,284,720,536,591,014,011,214,040,464,475,159,
472,156,902,254,724,120,058,376,866,326,768,617,480,444,627,562,323,340,840,
495,577,352,735,353,584,002,934,308,470,859,987,267,743,894,858,556,398,890,
705,406,802,568,854,315,036,925,706,646,776,802,989,674,926,159,975,137,475,
500,227,445,172,979,465,488,445,995,843,106,031,299,300,093,455,673,811,957,
352,229,964,492,218,399,154,899,933,620,389,626,581,440,331,958,057,484,626,
449,724,213,436,284,651,600,277,171,850,391,145,285,183,207,789,562,203,248,
927,866,690,002,602,324,238,955,652,200,748,387,441,900,144,348,042,124,788,
285,976,748,087,880,402,533,877,684,986,700,808,293,384,411,973,730,675,263,
288,200,083,385,344,158,750,479,718,436,128,335,162,734,377,481,606,384,154,
723,522,534,878,969,196,631,542,239,211,986,745,683,694,422,352,695,375,494,
710,998,106,088,343,072,630,073,740,222,969,355,516,473,411,164,340,868,085,
304,628,612,706,695,269,251,717,491,910,982,811,878,765,667,494,084,707,423,
580,188,546,838,663,029,695,123,295,758,966,150,055,191,917,744,312,100,554,
485,708,995,738,719,003,341,931,803,078,831,449,698,836,896,115,330,405,843,
730,359,705,364,469,786,215,232,139,737,386,446,748,548,930,253,786,353,255,
392,199,405,994,988,140,833,158,858,622,478,944,409,289,208,280,821,773,937,
617,852,791,236,803,862,442,193,931,322,516,989,566,079,638,838,568,700,004,
929,137,475,342,010,049,780,848,636,192,717,825,154,997,327,637,813,632,801,
730,073,460,836,179,674,934,618,831,604,469,837,083,129,969,533,154,055,564,
480,056,639,070,147,640,939,353,235,599,343,036,462,152,327,232,839,313,692,
262,750,818,763,340,611,331,400,233,515,000,272,409,428,676,689,343,007,338,
687,742,109,455,361,220,456,685,427,794,379,405,221,236,269,257,240,373,700,
145,972,391,536,814,790,465,101,330,326,119,793,673,410,043,776,814,520,768,
156,744,309,615,425,747,944,453,953,684,704,784,177,577,858,720,589,966,239,
855,000,593,014,912,664,338,399,182,447,668,407,619,021,824,766,829,397,122,
718,898,036,721,054,749,565,408,163,991,268,915,360,739,915,132,603,079,594,
297,847,493,597,116,788,641,102,915,349,895,398,486,918,416,224,335,178,533,
124,424,075,126,580,248,438,694,723,543,978,823,733,467,593,492,384,323,283,
248,556,316,211,970,143,600,391,027,124,039,279,918,420,070,313,241,381,087,
327,488,054,454,445,465,048,566,228,647,237,134,469,026,895,038,941,486,636,
963,122,943,217,738,269,470,846,050,807,863,010,056,226,411,694,723,420,108,
206,945,399,262,410,983,572,785,167,649,011,762,938,914,574,672,605,027,619,
439,814,175,185,606,588,252,150,147,332,852,172,431,001,155,307,825,371,256,
422,135,697,612,873,357,481,007,642,041,683,669,544,532,601,288,509,317,437,
444,832,659,706,179,623,832,422,909,133,508,601,003,704,844,470,477,666,085,
745,110,729,325,657,843,843,144,148,459,745,858,828,671,633,673,778,323,205,
274,567,490,744,906,434,018,701,121,698,586,721,131,926,369,525,748,432,223,
464,761,772,978,193,063,269,772,944,785,447,006,612,359,008,810,090,587,378,
357,713,780,112,791,858,800,879,677,247,895,862,368,204,824,558,533,375,489,
659,128,225,950,741,495,505,182,237,082,416,047,252,740,613,516,798,296,984,
902,356,602,368,428,354,613,399,733,553,409,492,428,405,760,643,973,298,561,
626,963,471,102,965,211,124,423,016,889,081,780,624,437,791,035,554,099,611,
686,328,463,076,467,115,529,959,436,826,136,337,237,931,686,132,040,893,902,
576,514,200,043,053,213,092,354,620,662,763,311,880,908,322,826,438,482,152,
724,568,834,024,050,223,588,404,816,529,045,744,720,167,367,928,239,989,591,
197,497,074,181,848,380,758,908,145,104,667,325,038,449,528,483,095,326,904,
491,475,511,138,421,262,141,334,704,855,878,500,647,770,030,441,843,477,970,
986,623,797,259,403,019,347,332,083,827,281,312,500,507,231,985,080,718,315,
423,395,288,702,954,936,490,719,930,532,125,058,086,956,800,489,770,144,828,
525,233,672,875,614,180,534,697,638,586,039,218,880,462,022,799,019,425,988,
335,638,351,849,239,931,142,377,431,803,188,383,936,506,336,971,589,435,635,
421,515,020,661,577,834,740,279,806,936,120,698,707,384,157,221,797,116,546,
653,284,165,426,343,418,572,996,989,871,536,097,103,804,964,401,032,696,958,
616,487,724,047,709,410,762,814,668,895,434,986,601,347,455,519,219,145,344,
418,167,661,629,402,355,316,038,507,551,709,472,491,730,074,063,589,484,356,
176,053,227,207,570,811,663,703,833,306,994,997,479,865,948,686,419,577,510,
567,616,497,551,379,483,000,746,239,820,272,437,838,011,961,453,043,371,092,
765,994,889,774,136,767,679,107,781,642,993,158,673,114,490,006,307,800,874,
850,499,614,965,110,262,254,933,078,653,041,247,547,174,209,226,050,511,754,
235,762,146,102,275,553,886,422,389,019,111,612,388,519,014,621,946,070,157,
401,522,118,169,698,671,524,209,623,447,276,690,319,254,647,634,519,118,560,
126,150,400,547,978,405,647,475,686,260,957,835,982,628,319,596,062,693,567,
060,649,317,780,836,995,407,320,522,639,800,550,103,218,748,679,047,700,353,
880,782,525,546,014,778,848,943,613,160,318,593,510,667,036,435,382,611,997,
251,590,794,469,375,665,142,852,470,488,136,724,595,611,852,130,370,561,625,
931,204,785,558,726,625,313,024,835,250,139,543,971,008,253,900,912,247,746,
313,483,023,849,657,393,321,438,678,329,044,917,417,568,154,347,816,525,005,
528,332,419,736,695,858,951,480,794,918,716,556,779,962,135,440,177,604,756,
698,407,709,568,947,498,607,189,555,815,100,064,551,629,662,058,159,032,444,
684,079,309,649,496,917,283,160,964,162,356,056,915,029,937,082,188,073,584,
180,042,870,528,011,079,132,002,876,952,517,577,579,245,078,470,514,565,955,
117,692,400,034,334,234,704,683,511,722,481,363,538,953,968,309,569,138,855,
242,586,694,304,153,613,249,940,682,221,540,799,980,561,146,338,742,722,490,
631,854,849,734,842,107,919,306,541,890,589,487,726,000,576,409,469,676,856,
465,403,660,161,992,546,729,620,621,417,634,162,597,018,346,866,281,889,083,
311,359,368,592,312,186,305,614,411,613,523,233,192,087,816,698,663,126,013,
759,794,541,766,310,506,242,043,110,489,715,298,155,264,837,819,960,244,603,
278,414,067,497,008,534,176,015,025,628,370,958,899,170,847,859,598,571,864,
255,312,605,559,597,732,973,100,728,123,907,802,900,534,264,524,662,580,057,
191,461,747,089,158,402,618,207,164,360,594,453,039,182,621,839,465,683,618,
755,449,102,318,821,020,196,440,775,260,191,449,216,428,748,343,060,476,568,
452,463,694,266,438,299,389,882,584,409,065,314,761,734,008,957,493,135,359,
702,456,494,700,846,797,274,111,548,836,406,395,049,524,916,023,056,164,860,
265,618,705,215,235,152,648,318,860,518,888,228,574,886,385,383,952,481,681,
953,865,377,646,157,306,660,496,732,032,050,332,243,375,495,455,658,786,999,
281,756,907,309,143,741,186,317,403,829,220,644,141,368,653,222,305,788,561,
257,867,340,759,815,860,613,801,907,093,866,426,749,737,916,089,343,054,610,
646,425,986,795,190,327,855,784,801,330,723,952,755,682,757,277,048,796,370,
769,817,822,368,991,060,344,682,196,676,836,294,422,401,810,201,170,994,246,
028,488,805,408,855,581,389,304,743,791,923,778,765,198,959,430,819,261,113,
449,108,991,787,458,162,927,777,933,757,305,933,406,138,576,267,138,944,811,
524,734,259,384,155,173,787,994,920,664,746,125,598,236,871,262,808,820,156,
347,809,572,249,933,580,856,035,575,694,196,473,147,445,688,323,786,080,966,
484,046,773,179,349,915,727,763,183,884,481,853,151,382,941,259,770,033,001,
468,504,721,768,943,901,764,520,988,239,723,656,505,348,404,625,385,180,624,
881,789,945,226,549,594,636,975,153,892,438,648,704,828,884,019,978,900,236,
338,337,540,019,045,704,993,809,715,173,496,891,571,785,213,276,147,114,687,
094,556,289,923,061,749,416,410,303,449,491,178,067,242,793,621,493,526,834,
362,347,084,015,472,663,279,481,500,494,745,429,189,762,258,822,975,449,053,
017,439,041,518,598,256,408,484,685,801,017,496,723,505,053,599,616,746,612,
755,101,880,222,906,580,947,546,300,288,829,955,618,005,032,303,041,770,584,
899,977,332,021,791,794,962,507,642,852,948,802,286,382,071,989,443,319,482,
610,807,134,938,991,801,547,975,883,447,543,886,669,805,828,292,574,104,351,
963,427,554,541,147,817,032,894,819,339,702,344,623,706,094,213,107,017,098,
400,240,146,770,642,459,776,504,571,649,342,889,182,805,982,225,530,769,725,
147,159,708,832,400,831,042,661,318,797,602,788,598,822,754,338,017,587,448,
993,982,593,257,940,976,501,177,101,975,753,873,977,886,827,298,878,131,390,
542,684,921,338,425,547,699,722,407,130,957,381,673,347,690,463,191,161,074,
547,802,985,893,791,195,338,319,023,272,092,604,270,159,157,695,494,702,525,
901,467,255,022,177,165,916,667,200,062,458,032,390,084,024,298,424,868,251,
237,635,848,137,729,887,001,445,597,141,556,983,906,418,795,564,776,060,960,
177,089,226,544,652,225,822,426,939,917,236,467,703,681,169,075,055,940,946,
430,043,598,984,975,264,378,037,338,352,440,518,410,896,757,640,586,712,041,
627,789,197,499,001,377,990,543,340,940,193,939,269,029,627,159,870,385,920,
252,998,745,874,549,270,342,347,520,012,119,263,463,563,410,752,036,567,369,
389,226,143,107,964,546,413,450,345,586,136,444,957,434,167,124,953,615,652,
816,562,702,494,738,196,972,348,232,591,148,828,048,819,010,929,819,164,566,
832,261,711,960,825,258,359,231,121,044,395,768,553,751,789,571,165,233,730,
402,492,393,107,938,194,072,792,731,234,515,178,420,582,710,169,140,768,325,
368,409,560,407,475,478,177,399,189,993,867,784,984,088,006,337,286,537,599,
011,958,749,964,061,848,805,972,279,293,639,760,872,292,462,378,699,052,406,
243,549,173,804,944,939,780,998,050,797,952,821,739,246,814,307,448,903,935,
058,192,856,658,466,976,390,178,149,754,309,720,083,349,315,308,539,294,056,
009,634,203,342,740,039,354,500,888,111,462,611,339,833,099,867,729,559,600,
340,625,340,298,312,423,096,469,709,706,030,447,558,219,212,764,939,888,944,
888,114,184,513,138,026,223,021,127,975,953,375,984,331,319,302,044,806,884,
491,514,817,619,376,125,804,120,835,349,032,438,006,821,131,457,678,787,166,
214,362,417,425,703,827,838,528,215,759,238,951,827,817,439,623,885,446,225,
359,425,511,673,912,836,236,864,403,335,377,951,991,213,349,819,480,709,527,
065,753,226,795,419,711,773,973,093,290,751,881,991,933,812,492,522,913,983,
228,852,579,934,585,158,201,753,288,864,096,874,254,460,919,124,426,961,100,
058,318,388,491,803,661,616,900,607,993,438,539,936,986,727,945,095,302,495,
355,815,409,322,588,979,796,219,382,878,514,652,133,500,501,491,887,623,746,
071,177,172,923,636,421,716,938,840,348,502,444,696,580,546,868,452,406,229,
626,018,662,534,926,391,939,420,928,230,210,413,694,443,065,834,104,502,496,
150,280,842,406,206,383,276,983,228,357,062,746,554,344,655,003,788,327,508,
579,121,826,491,022,611,335,405,660,834,726,528,211,440,573,407,206,337,744,
089,921,986,295,861,702,931,621,222,888,980,610,319,850,714,449,456,973,658,
940,585,764,854,639,794,406,156,413,869,927,296,034,525,973,679,801,911,377,
790,645,853,500,919,921,761,684,290,189,024,200,718,932,600,006,382,695,526,
457,313,551,664,944,127,339,151,751,813,728,996,040,151,547,016,612,904,877,
107,212,092,390,908,613,660,295,184,631,291,316,506,938,712,529,283,375,321,
379,277,295,807,778,297,032,061,499,403,879,548,220,607,585,074,889,674,261,
669,287,448,408,312,308,584,806,454,904,198,169,117,442,669,949,280,326,084,
768,263,564,286,617,918,315,707,113,733,241,365,637,446,144,244,209,862,808,
204,481,880,069,512,241,858,759,473,226,720,774,068,781,874,069,740,648,533,
239,063,621,781,075,309,014,688,853,056,094,875,022,574,189,333,192,031,706,
835,066,194,007,425,328,183,937,148,390,742,969,837,551,466,391,943,869,641,
283,313,301,426,575,030,550,502,578,455,073,161,791,431,939,529,255,715,752,
663,726,914,017,212,134,002,725,813,878,831,884,818,205,483,752,266,170,357,
100,757,904,842,021,257,466,338,965,401,926,803,025,498,191,768,494,968,636,
950,888,969,149,141,130,612,677,640,924,058,848,558,726,790,725,654,998,173,
369,420,310,550,825,817,394,629,976,498,449,495,828,077,531,338,167,881,698,
080,279,352,901,409,250,067,237,871,739,274,447,175,115,541,364,723,555,745,
641,429,629,682,720,306,387,729,864,909,745,577,627,094,818,980,921,810,367,
677,964,618,368,475,337,349,760,951,915,954,118,073,852,673,369,622,178,958,
165,133,552,165,872,201,601,543,467,428,246,950,260,022,237,412,265,345,044,
125,644,584,669,504,598,823,725,714,448,567,284,804,697,576,344,471,784,569,
064,190,062,304,679,524,857,585,130,509,952,111,221,868,589,794,280,037,686,
175,569,079,643,630,382,246,310,247,627,240,072,786,363,886,697,631,034,816,
961,944,942,741,899,558,862,028,894,879,513,267,705,167,508,787,805,425,815,
360,312,556,012,920,371,917,617,445,584,359,692,033,772,121,428,612,044,557,
561,341,847,703,561,657,744,318,556,046,393,210,217,750,045,559,397,355,718,
427,132,467,666,707,217,091,731,258,405,491,176,837,483,264,400,988,596,531,
436,908,917,300,908,677,996,896,584,950,658,161,123,059,825,616,348,335,021,
315,944,605,819,048,680,583,870,013,140,645,683,573,763,445,517,944,084,000,
917,490,539,694,453,386,866,068,135,907,773,789,494,458,909,937,575,080,955,
412,334,494,686,475,454,959,593,823,544,624,781,855,572,696,315,154,117,687,
239,075,551,405,159,965,357,240,094,551,485,190,867,069,747,962,812,979,518,
479,550,943,876,782,808,408,087,195,667,718,776,069,817,016,097,315,313,661,
488,632,219,059,696,743,075,796,958,484,929,725,213,844,117,475,749,798,149,
765,612,334,141,904,482,333,045,775,800,293,871,418,728,823,266,369,465,903,
559,203,219,463,047,878,193,708,492,312,299,583,723,789,229,101,033,861,175,
207,332,389,897,303,148,499,998,847,897,516,104,641,488,642,400,223,599,249,
174,107,909,076,602,519,986,551,556,408,015,211,336,266,407,380,975,786,098,
123,147,314,844,718,922,089,523,943,429,021,523,485,181,634,393,158,008,613,
574,508,740,097,855,662,345,680,390,115,034,233,657,774,776,600,872,824,266,
625,510,021,770,659,239,331,328,425,637,235,091,287,834,448,062,847,645,415,
574,178,504,889,262,359,090,669,523,136,371,070,482,865,929,294,843,854,400,
023,187,424,328,222,246,258,451,615,709,050,160,768,426,282,898,880,042,572,
178,822,607,108,598,612,343,909,350,795,441,002,094,060,806,979,685,464,662,
242,562,737,636,367,596,429,708,817,105,784,243,120,191,649,687,433,375,597,
748,268,849,346,358,991,435,577,637,426,705,769,149,611,271,474,993,156,490,
421,157,578,482,853,940,812,094,181,175,903,399,257,380,743,094,752,108,636,
510,956,090,850,378,799,245,705,498,726,460,326,568,101,609,147,520,961,010,
274,804,869,532,215,226,707,929,348,837,746,266,695,432,763,740,637,950,408,
680,308,638,290,349,603,736,421,603,974,443,946,433,233,513,693,737,212,280,
411,639,768,324,289,749,982,393,238,082,003,143,891,437,701,505,505,627,497,
331,188,015,960,481,196,727,229,564,291,247,179,615,619,450,509,678,627,658,
228,323,226,936,239,984,998,931,748,405,421,918,907,220,662,887,768,317,212,
095,965,402,982,903,190,861,322,209,270,858,164,338,533,345,062,121,883,216,
214,468,420,715,252,060,078,636,729,661,378,189,911,357,569,856,027,836,632,
523,211,247,866,441,758,124,691,360,181,968,988,269,257,733,027,772,004,525,
154,037,924,516,619,125,797,868,867,747,155,877,293,319,504,072,465,092,632,
134,406,098,539,062,839,758,986,422,929,503,958,106,826,705,552,637,549,847,
459,875,739,082,079,547,145,429,426,266,694,953,588,679,705,472,663,828,469,
186,083,683,697,389,411,497,736,763,966,756,692,975,060,112,791,790,318,659,
394,194,376,567,152,558,828,550,597,475,721,074,529,612,325,112,654,649,366,
789,849,070,598,686,347,951,905,867,961,897,320,323,641,022,718,320,275,809,
439,838,410,184,261,998,658,654,366,756,304,342,382,961,719,225,732,430,884,
283,400,741,393,216,746,732,443,999,325,836,141,317,765,104,041,264,391,392,
091,505,814,335,288,041,894,238,565,724,102,489,168,957,072,980,148,860,653,
521,051,283,381,883,741,344,502,335,565,514,986,023,108,231,992,334,141,928,
336,183,462,560,128,857,150,396,649,081,675,699,620,037,899,593,483,010,871,
497,520,263,985,248,195,162,277,169,787,835,040,768,247,280,629,938,238,698,
528,110,549,438,554,300,104,720,658,849,988,302,791,819,703,718,487,820,210,
719,145,145,289,846,870,770,092,034,007,631,376,239,964,456,811,263,622,517,
256,324,982,414,816,973,316,930,561,644,977,115,559,907,664,176,796,901,228,
566,869,692,803,608,695,915,508,907,232,843,003,435,295,156,612,246,637,376,
322,611,549,843,967,128,862,419,664,234,914,275,412,959,618,827,661,296,155,
011,966,117,765,074,344,344,964,039,665,151,376,040,956,042,045,372,455,754,
694,974,337,305,264,265,174,719,924,213,367,951,247,550,653,971,616,895,254,
033,262,637,096,425,454,954,626,468,907,293,875,280,027,121,064,075,380,486,
206,534,357,247,962,509,884,488,109,382,837,667,041,505,089,816,306,675,513,
161,215,520,181,454,222,938,974,995,430,495,623,447,493,499,463,445,611,783,
577,767,804,197,513,435,513,891,780,124,765,882,029,581,968,731,733,000,944,
201,701,506,020,020,263,947,383,722,101,719,080,812,286,874,601,856,112,303,
293,336,027,510,558,933,782,679,570,362,948,596,750,589,493,552,619,089,154,
731,973,074,840,884,859,449,599,226,396,209,610,632,545,904,236,111,692,694,
268,040,911,916,523,023,064,997,235,284,986,948,418,934,378,524,494,487,839,
586,163,670,438,225,256,127,194,041,251,700,179,600,171,204,159,759,927,277,
499,353,880,431,553,488,302,603,037,576,565,947,329,840,092,962,509,761,993,
574,766,298,501,830,773,111,088,464,005,250,524,763,728,175,887,223,610,716,
382,113,130,882,885,980,205,668,069,433,388,658,248,887,360,460,475,481,376,
224,057,392,893,413,240,552,998,934,329,030,408,929,741,996,369,410,409,669,
096,791,138,581,311,056,426,489,467,102,543,857,207,913,472,250,427,777,845,
053,956,073,460,504,509,118,205,517,099,873,602,323,361,454,440,768,774,182,
304,802,477,682,112,624,741,550,669,172,321,634,287,071,941,480,468,718,392,
687,991,069,229,941,502,604,303,966,428,913,540,193,573,741,999,998,679,587,
396,182,594,036,170,492,366,917,736,657,510,632,695,253,812,558,285,430,348,
653,959,460,696,868,710,883,288,808,067,399,852,011,781,284,389,438,834,982,
937,400,775,191,974,824,669,984,035,364,473,534,413,660,374,437,600,711,105,
426,428,433,243,242,413,463,209,986,992,285,193,583,089,449,836,298,596,845,
676,324,592,849,411,954,864,718,961,286,877,659,221,503,473,574,238,982,261,
544,398,371,239,265,756,218,012,464,762,590,423,324,138,272,142,019,052,881,
746,481,004,351,103,442,704,660,941,570,044,282,852,716,234,442,703,121,695,
021,410,697,430,983,711,322,325,358,470,111,681,284,266,522,115,715,161,343,
910,490,466,204,905,452,743,565,988,045,598,966,511,098,482,488,635,562,576,
669,464,484,990,353,503,694,994,107,374,791,469,655,284,347,197,035,962,105,
711,090,289,919,877,155,338,210,997,511,774,163,439,182,093,896,607,836,291,
993,522,312,089,902,743,654,937,928,920,320,243,814,753,395,305,885,361,830,
325,544,347,523,670,713,343,740,036,718,179,892,248,680,371,163,147,229,103,
941,771,508,974,386,019,349,841,313,935,023,480,222,963,237,406,429,923,134,
266,259,834,706,209,817,227,549,439,258,828,602,535,105,156,975,086,687,753,
116,221,405,032,213,904,828,005,378,215,484,057,479,470,854,128,597,400,776,
687,756,646,571,745,125,003,305,276,512,061,289,782,466,177,133,635,612,469,
703,964,676,254,401,293,618,173,894,343,295,120,982,914,925,259,742,945,474,
904,018,920,973,750,658,360,309,452,066,289,562,984,079,272,230,581,444,288,
761,810,685,423,284,321,280,769,408,689,765,365,377,872,625,420,099,438,051,
430,067,146,130,459,377,980,599,030,178,381,059,267,225,602,938,508,306,138,
837,430,596,482,818,577,091,402,195,607,264,115,171,476,602,457,189,946,387,
690,442,630,200,915,083,248,404,951,743,390,374,638,560,911,955,958,331,858,
515,777,182,653,422,920,338,130,442,006,381,857,708,542,024,503,357,200,355,
826,549,395,834,930,216,634,987,438,568,952,577,003,979,990,958,659,427,240,
003,105,292,926,836,271,061,818,576,482,572,716,584,408,538,694,315,701,103,
073,576,292,803,966,787,627,184,164,559,614,399,499,189,125,037,736,681,660,
011,467,088,842,875,896,852,013,271,478,814,208,557,582,571,461,687,959,991,
727,840,695,565,145,936,221,485,005,381,050,333,868,571,795,445,875,705,276,
487,847,570,104,350,876,072,721,404,590,880,266,468,965,832,665,634,155,291,
644,138,897,354,763,872,257,407,057,100,454,224,046,557,705,683,138,275,415,
678,421,184,930,901,686,641,929,263,770,958,399,123,281,341,350,707,573,646,
798,335,419,650,742,620,224,928,436,894,801,360,361,647,306,033,224,201,626,
767,271,112,773,644,908,785,071,496,105,969,640,101,239,398,726,685,590,639,
953,601,143,200,405,969,987,229,848,434,138,770,012,597,166,199,726,631,120,
086,792,830,903,804,070,736,333,408,335,201,982,922,030,363,873,931,543,879,
917,111,218,809,360,537,427,250,060,002,417,209,149,729,221,802,948,466,465,
183,080,865,229,852,021,793,958,937,007,116,333,557,026,763,908,066,517,507,
417,120,819,125,550,747,751,589,639,706,153,939,087,210,016,278,476,801,478,
273,244,561,828,159,030,216,464,266,041,956,608,908,691,826,740,796,401,191,
007,724,419,541,855,742,655,501,571,361,417,630,876,665,288,098,468,657,941,
284,737,166,661,982,145,235,328,597,942,666,928,673,895,323,659,382,470,234,
239,116,560,993,502,077,716,860,336,309,330,853,640,762,817,814,207,369,568,
699,572,571,553,267,418,265,786,623,003,566,318,311,562,361,086,165,333,890,
397,928,179,289,862,548,875,839,421,590,485,654,042,923,492,273,282,535,367,
342,014,239,412,969,790,539,234,747,562,210,024,623,987,160,192,294,091,397,
344,323,550,753,632,400,602,681,735,195,465,453,011,782,235,832,984,043,578,
367,630,616,685,518,091,715,647,564,901,937,630,425,025,150,621,344,891,345,
869,540,532,039,164,485,656,723,817,776,097,596,444,013,075,367,465,129,126,
009,169,377,521,428,038,675,933,801,829,216,970,305,437,485,806,762,883,507,
912,012,930,318,678,417,133,220,915,589,469,223,730,040,746,850,096,686,836,
908,554,057,424,593,882,599,157,410,798,615,382,723,361,239,089,913,462,285,
976,161,643,429,391,672,313,104,538,712,556,979,559,623,429,785,226,197,104,
378,774,995,295,479,089,617,066,379,075,286,507,591,079,444,416,117,285,062,
134,255,261,583,869,112,445,906,563,952,071,354,677,650,587,650,976,707,946,
808,463,461,263,241,946,990,713,892,284,417,580,142,446,129,373,804,342,423,
778,491,156,438,987,598,271,203,831,340,993,768,529,868,225,305,620,702,446,
008,825,329,642,588,262,871,988,864,218,855,529,849,504,905,370,976,905,625,
796,704,525,078,087,978,424,934,794,425,000,481,818,034,162,216,797,407,174,
807,566,301,016,632,938,696,202,025,093,104,029,921,411,935,175,852,026,178,
592,558,103,532,703,426,938,616,205,584,026,887,089,706,025,210,566,049,859,
358,603,562,872,577,047,290,202,345,242,574,804,246,856,421,720,995,270,315,
277,357,443,873,420,390,871,047,075,093,184,849,824,276,607,530,705,334,195,
778,892,725,473,560,765,805,645,108,526,175,968,808,845,167,163,215,335,857,
149,447,617,523,972,313,123,257,451,569,056,836,475,124,316,262,908,557,833,
944,910,312,091,935,013,889,177,166,941,445,485,115,469,162,133,212,653,024,
698,318,646,737,973,748,180,427,322,536,819,117,380,726,072,281,490,610,688,
873,394,345,098,188,966,161,315,150,958,804,122,292,029,179,191,283,553,909,
339,141,233,630,328,955,508,203,340,635,238,559,200,491,920,665,285,677,009,
465,916,403,223,008,129,540,578,422,333,464,758,348,954,079,361,125,015,881,
481,761,531,040,515,285,925,427,886,935,110,295,597,224,599,671,567,380,710,
047,675,165,637,474,776,188,111,311,531,654,608,952,789,275,964,822,255,776,
124,021,401,582,130,179,896,537,623,103,236,880,478,552,930,830,660,471,061,
751,669,047,982,537,954,117,229,208,002,380,185,644,272,083,521,873,768,139,
352,032,622,814,636,987,936,883,996,057,152,563,448,744,941,499,765,565,602,
708,462,824,388,607,186,682,810,862,531,355,854,033,190,924,353,133,113,574,
758,576,725,764,239,276,755,547,199,952,649,983,565,362,919,279,491,384,177,
923,321,702,336,814,012,952,956,536,024,759,598,555,814,725,380,121,980,696,
177,719,659,120,462,916,460,958,921,730,759,889,537,581,001,320,848,166,856,
121,647,430,767,994,485,506,095,676,094,738,468,237,944,546,222,269,663,196,
896,155,986,601,530,356,949,131,222,856,994,059,525,436,285,876,089,455,755,
807,944,471,849,748,681,457,794,776,101,874,051,749,691,131,095,979,736,548,
080,811,094,712,768,679,866,499,943,370,694,265,095,477,311,708,619,667,043,
238,288,995,636,951,098,788,104,627,526,691,605,657,771,724,883,109,703,547,
473,083,755,691,078,782,754,200,537,137,417,992,514,794,150,848,544,578,897,
073,969,611,101,024,942,924,597,577,553,778,162,968,259,692,526,980,293,137,
484,587,375,724,024,188,364,678,587,872,128,459,580,322,084,352,042,726,131,
069,189,041,687,961,175,035,006,963,930,568,384,715,016,423,292,334,617,955,
993,957,122,801,242,157,110,563,981,252,615,521,765,655,004,929,012,158,913,
474,992,506,813,819,574,460,703,599,788,588,763,005,579,661,399,929,051,435,
582,753,684,398,536,561,319,781,245,110,903,474,797,397,193,305,092,649,299,
952,652,626,333,545,192,225,372,271,925,451,593,678,659,971,539,661,017,075,
119,449,343,302,729,195,477,961,408,483,032,333,388,303,507,318,019,030,983,
516,807,409,375,370,867,896,619,057,847,492,037,415,826,445,115,695,594,300,
799,881,789,862,740,845,951,002,869,493,014,270,891,917,708,323,270,175,113,
611,115,515,799,392,330,208,064,527,584,982,784,019,497,402,090,041,215,975,
882,942,584,926,045,479,248,570,474,843,387,438,746,165,621,004,012,581,786,
649,745,194,434,098,456,960,054,459,153,857,911,773,515,415,279,455,048,341,
742,251,018,936,314,392,699,205,184,224,521,003,326,104,213,661,133,272,642,
913,833,685,770,276,828,151,057,962,040,236,297,477,733,036,768,798,003,123,
959,602,013,345,886,854,111,866,026,684,906,544,339,889,642,846,114,049,306,
260,819,825,064,388,129,529,489,610,352,566,683,944,001,002,434,805,768,738,
288,058,273,449,245,245,750,212,068,875,512,592,359,212,151,100,772,248,483,
914,637,182,771,551,550,252,546,065,911,309,270,796,517,522,808,065,015,111,
748,702,525,085,932,246,215,232,949,212,186,337,061,591,812,756,214,372,558,
970,338,666,004,198,931,437,914,153,024,458,763,905,642,017,611,481,552,487,
134,003,776,954,084,733,218,404,435,570,071,331,786,762,250,657,260,183,942,
018,492,666,626,595,156,693,805,049,670,983,154,670,861,091,851,074,415,914,
772,972,883,913,749,252,572,653,653,219,835,915,161,598,575,546,838,795,766,
688,619,229,442,160,513,989,152,273,740,259,805,471,892,220,265,096,090,187,
549,611,425,149,903,645,004,583,220,727,021,519,574,454,532,464,494,476,679,
510,108,910,023,355,270,997,286,094,359,361,048,943,240,364,706,060,475,094,
064,599,481,601,486,936,250,760,227,658,357,186,536,805,407,468,641,135,035,
638,537,301,532,317,919,660,524,936,386,695,225,521,621,503,291,140,691,270,
655,478,602,336,178,788,816,990,434,459,636,818,261,558,433,448,564,992,181,
458,640,049,875,763,069,779,421,986,491,640,769,645,580,758,925,809,459,497,
436,953,129,217,620,447,592,302,445,830,920,183,868,382,792,344,964,953,612,
429,099,349,399,173,854,301,940,328,639,709,748,317,320,373,571,385,038,031,
315,746,903,191,595,813,979,982,131,343,996,582,335,919,028,498,628,197,579,
855,928,708,787,105,939,311,728,266,653,416,010,724,970,193,044,714,740,213,
312,433,073,485,913,334,923,073,129,570,006,361,610,303,994,863,515,367,905,
478,771,115,457,560,569,035,285,976,106,770,947,617,757,770,396,767,406,494,
340,406,652,507,118,802,411,035,677,681,215,493,668,903,811,450,322,838,703,
323,582,450,155,020,029,370,327,944,342,720,959,627,795,170,798,175,364,405,
373,063,494,374,566,051,685,025,359,532,166,801,403,547,116,354,480,793,204,
848,109,607,716,998,054,143,556,857,103,135,616,049,791,621,696,032,068,839,
258,478,446,450,163,194,028,471,786,186,677,377,987,081,229,101,929,207,847,
557,055,343,350,827,717,128,632,346,263,990,893,391,877,541,973,374,317,205,
914,736,664,277,051,481,528,290,087,981,015,241,152,971,236,506,960,252,669,
434,583,735,413,640,596,252,651,732,013,174,406,241,657,506,380,919,217,272,
803,705,717,054,146,510,926,110,948,113,988,710,198,543,554,495,369,953,204,
327,653,882,329,228,814,559,314,193,064,447,535,328,062,340,955,481,621,507,
322,560,692,672,119,645,246,697,642,674,157,786,075,409,171,356,724,915,753,
794,862,251,908,023,879,472,163,336,758,850,727,719,289,042,834,181,186,881,
692,814,379,740,966,558,369,461,314,815,759,024,021,950,538,460,896,307,442,
022,432,719,741,857,577,209,945,336,000,263,546,319,877,887,693,030,942,558,
071,798,286,242,904,863,681,358,415,683,862,773,588,594,730,260,668,218,665,
964,963,989,569,778,343,126,513,167,697,794,323,112,968,777,464,950,792,124,
350,409,973,362,350,392,110,319,097,072,700,487,193,238,868,664,563,482,788,
938,452,275,281,532,356,495,459,478,486,771,410,553,127,937,038,398,925,082,
203,487,606,749,917,399,889,004,411,490,820,950,174,448,960,568,271,010,816,
502,139,549,598,951,503,732,283,830,418,990,363,065,152,039,363,997,470,440,
142,312,778,627,663,075,703,124,461,564,203,172,004,366,283,997,497,517,853,
779,893,564,440,901,798,993,103,640,562,946,433,393,407,317,113,647,830,219,
953,149,330,439,126,468,705,531,343,039,649,569,098,865,306,461,539,200,861,
195,370,311,978,190,698,597,323,034,364,502,210,885,779,191,711,374,797,648,
497,164,206,284,396,223,650,485,726,483,410,236,346,589,702,997,306,603,317,
453,674,387,311,265,074,915,790,598,864,709,747,435,211,769,882,231,288,688,
579,635,463,974,329,019,692,276,991,312,001,991,548,260,976,576,712,040,787,
193,945,646,393,072,173,973,812,672,430,023,049,743,244,904,787,700,756,138,
630,741,674,678,344,460,869,274,071,102,467,939,936,008,693,567,025,285,646,
811,475,852,380,496,484,994,558,834,324,186,517,275,235,734,147,514,777,308,
236,983,263,141,307,406,842,435,389,777,388,204,018,145,487,717,128,238,150,
752,757,208,840,229,583,032,807,831,770,628,947,005,792,343,571,985,933,212,
593,564,049,248,946,505,655,933,268,969,916,830,710,460,690,517,014,755,470,
266,026,886,038,020,433,839,520,694,499,222,425,957,862,643,840,343,134,985,
562,631,555,713,384,673,757,669,468,414,474,029,412,265,469,289,632,718,670,
063,291,534,857,738,800,204,976,862,065,411,997,381,476,788,509,852,676,368,
653,151,421,869,410,772,849,166,004,718,513,771,759,879,869,172,367,042,250,
283,304,745,785,194,925,902,965,386,961,396,203,925,939,157,351,940,066,862,
096,464,074,683,526,299,703,521,875,944,304,392,360,655,327,023,594,841,685,
511,219,142,106,002,159,438,942,272,772,657,520,950,199,031,578,625,253,463,
414,700,314,534,205,726,084,056,439,578,462,767,740,935,045,260,942,324,427,
745,560,334,329,270,879,121,907,854,609,162,459,277,572,021,073,302,009,401,
308,183,793,905,108,914,429,613,148,699,555,825,988,240,509,774,093,025,905,
823,048,329,161,162,118,458,358,661,635,172,424,522,587,471,797,354,883,260,
876,063,326,337,424,420,377,468,199,547,438,214,073,433,167,914,622,267,899,
839,002,732,094,894,429,714,475,103,940,554,443,905,325,339,557,371,391,607,
872,011,788,787,050,166,820,048,518,507,547,947,705,589,430,848,232,086,591,
382,948,422,435,644,875,665,919,441,174,787,807,127,355,921,976,850,643,805,
432,638,428,215,514,940,116,357,975,865,826,170,509,188,888,075,237,445,188,
121,083,327,080,003,467,975,319,485,568,015,727,338,052,621,923,150,101,649,
960,055,649,940,708,946,016,534,032,161,652,386,064,961,922,910,308,882,424,
583,576,295,637,916,733,217,177,255,206,170,761,506,644,483,339,686,708,528,
234,440,665,830,656,936,144,713,348,480,896,980,692,867,595,165,474,741,629,
584,013,166,722,251,022,608,036,456,861,117,710,722,344,613,886,291,219,663,
911,006,349,809,152,859,927,937,957,933,557,898,328,471,425,667,800,057,394,
825,426,272,823,320,753,033,957,208,029,046,104,803,387,712,555,163,676,135,
321,578,388,126,247,495,840,731,375,558,168,922,823,759,717,322,827,406,185,
185,505,426,550,947,377,474,710,781,389,641,847,959,150,833,421,350,778,923,
941,772,710,578,367,404,044,641,692,660,032,965,073,651,415,048,904,392,692,
671,282,877,303,875,760,596,510,596,678,654,424,374,113,329,790,179,540,991,
728,597,152,651,629,763,054,166,847,129,072,063,365,275,181,412,487,545,976,
142,362,078,671,367,781,308,202,044,054,749,341,173,491,027,673,497,652,633,
794,407,135,853,465,745,886,803,660,278,330,876,910,963,203,645,082,623,892,
969,047,989,787,967,588,452,793,161,738,125,415,639,730,462,331,054,857,418,
633,413,076,932,405,538,731,361,312,505,097,525,297,396,492,528,020,620,521,
558,562,138,185,623,668,907,129,194,605,500,646,880,013,423,463,114,939,685,
876,685,657,159,517,010,490,971,697,721,307,083,836,016,473,568,452,604,552,
075,600,050,359,786,949,749,816,071,248,628,900,539,892,226,586,685,583,084,
649,861,458,792,451,367,657,687,142,729,956,775,728,129,966,707,594,080,573,
023,259,386,673,517,017,173,047,805,594,943,125,770,409,060,274,938,608,606,
568,063,225,244,318,561,990,395,131,656,987,441,729,139,849,658,124,088,265,
398,305,435,404,119,134,849,717,789,605,659,214,642,886,087,768,165,089,158,
472,690,692,612,711,013,479,102,938,415,120,908,090,269,177,825,327,460,426,
226,530,457,119,985,000,367,982,716,957,390,871,128,102,276,459,432,068,804,
191,725,692,564,490,014,378,140,475,610,651,680,948,779,756,322,239,452,491,
355,547,483,053,022,595,600,974,012,796,582,623,598,778,280,088,208,388,090,
576,391,784,357,577,715,207,596,027,228,179,139,569,892,875,611,325,944,054,
708,918,601,887,259,518,647,686,336,441,134,195,911,618,413,305,512,425,810,
540,693,737,435,136,797,885,267,069,325,113,591,043,659,206,063,273,724,708,
774,398,800,496,571,486,619,528,522,516,704,914,488,404,073,268,140,923,833,
998,818,109,938,437,558,252,379,063,743,381,671,064,968,787,646,260,457,581,
843,174,901,787,437,247,467,468,444,114,879,801,124,088,377,381,658,604,137,
631,687,868,611,832,126,112,639,246,233,705,335,949,556,099,175,934,571,013,
089,189,447,835,717,207,214,907,197,985,516,940,396,555,878,274,657,017,985,
105,526,605,591,500,818,662,762,471,147,255,973,845,934,750,405,584,550,902,
078,241,478,021,643,243,367,025,073,922,664,161,304,183,639,860,911,266,412,
538,595,489,363,288,552,774,270,065,781,114,868,213,204,330,377,104,387,547,
074,583,077,954,498,253,526,124,086,747,171,939,594,846,656,338,255,726,809,
786,271,504,327,444,058,258,752,742,577,459,328,962,257,506,878,785,413,286,
273,480,282,224,982,268,095,069,524,077,374,893,697,382,715,288,635,308,500,
017,087,117,894,512,216,037,806,221,224,980,322,734,281,845,582,547,614,800,
489,606,627,340,472,072,734,962,638,536,395,109,999,643,649,370,640,553,080,
942,858,267,544,309,883,127,669,438,157,852,679,100,512,976,463,718,716,368,
415,434,275,745,962,926,818,633,982,878,544,292,254,614,418,169,333,323,377,
730,264,098,273,575,570,546,565,986,875,828,714,442,235,964,160,527,151,208,
179,664,879,381,144,846,079,311,355,462,070,338,969,872,206,042,265,309,570,
653,091,605,538,436,722,505,790,114,920,115,614,342,210,783,576,045,217,002,
715,731,291,324,302,447,767,620,987,820,391,456,573,499,826,681,844,983,538,
563,686,781,856,095,107,109,133,683,431,596,172,097,393,754,423,309,044,712,
483,299,892,291,256,943,892,254,259,117,657,107,266,310,564,714,403,138,788,
210,399,690,298,137,668,050,932,261,813,728,818,399,490,167,546,345,451,325,
140,571,778,513,207,634,733,327,121,096,347,765,512,868,131,747,271,865,168,
942,519,082,288,777,056,987,129,518,327,898,172,608,803,718,115,843,128,162,
743,786,540,147,036,388,240,055,959,741,577,748,492,831,573,848,241,868,847,
996,978,262,648,458,534,224,813,511,910,118,576,944,910,376,471,892,226,804,
898,245,106,647,286,259,774,473,002,720,096,112,588,930,033,924,092,787,771,
847,986,141,568,440,016,540,225,963,728,675,349,087,944,268,195,008,189,888,
303,033,565,187,223,772,100,823,802,767,668,436,170,890,806,607,449,873,170,
813,064,982,578,484,660,143,740,168,791,311,841,523,156,905,118,130,197,094,
398,125,162,932,806,759,994,635,503,522,034,622,145,253,618,948,522,926,162,
219,104,425,326,330,512,306,248,532,308,115,221,240,880,682,643,860,437,053,
532,176,923,690,255,657,357,915,929,686,777,420,817,799,618,758,658,544,375,
961,839,366,736,827,739,530,188,900,732,407,200,848,324,417,465,744,016,920,
056,077,824,739,372,500,888,411,167,339,358,712,246,773,212,702,532,326,960,
199,706,104,263,172,845,100,012,064,293,592,014,756,911,970,558,276,556,949,
683,487,329,584,948,814,986,749,664,278,321,061,343,355,184,490,493,916,127,
265,589,605,296,798,188,447,238,342,995,578,901,668,003,163,923,795,431,548,
913,402,744,919,700,481,653,735,278,328,048,807,877,964,114,212,245,227,889,
417,366,475,092,903,340,259,798,833,676,080,861,023,382,350,040,497,772,670,
261,313,082,229,928,854,305,715,492,267,704,222,101,098,219,016,692,314,557,
134,214,814,245,407,121,012,954,855,194,222,574,390,068,934,284,223,606,995,
199,354,930,487,721,776,270,922,944,329,657,918,954,254,050,909,664,161,575,
063,124,088,230,795,983,901,468,367,793,413,710,907,314,931,074,269,498,613,
557,465,093,866,027,663,536,892,663,288,544,163,200,388,212,709,740,239,586,
233,355,540,614,932,694,865,578,871,383,953,914,868,837,106,485,488,597,121,
413,798,299,291,238,295,498,827,966,478,977,532,440,510,873,804,291,705,514,
453,452,498,702,667,941,455,100,254,260,615,162,374,303,911,580,245,889,199,
508,685,226,145,715,306,926,699,906,528,332,613,938,571,779,260,603,105,484,
538,877,826,924,647,254,386,848,198,557,784,404,716,516,522,514,469,666,808,
134,361,412,301,919,869,323,280,239,095,753,944,866,759,179,086,339,890,831,
146,191,574,055,644,790,490,274,772,848,566,633,544,853,432,274,377,597,401,
394,588,249,553,743,775,540,792,458,199,914,061,724,457,686,359,557,678,801,
920,633,505,761,294,790,173,210,678,326,432,770,798,936,022,743,812,359,809,
103,935,746,535,600,517,361,638,843,567,576,035,793,935,609,524,711,469,114,
981,504,773,919,333,160,960,553,751,645,308,820,492,224,910,147,163,267,434,
239,786,959,173,759,386,309,047,267,247,576,371,374,873,834,485,610,608,463,
609,175,992,096,130,838,848,180,729,083,001,286,095,159,541,086,998,754,959,
996,894,197,225,566,415,833,388,870,398,123,126,088,205,459,116,212,503,671,
354,719,905,726,960,138,851,454,029,464,901,699,612,326,525,735,733,796,299,
422,301,682,635,381,193,641,579,029,658,392,649,354,041,119,023,009,697,266,
690,649,131,200,883,719,406,045,410,960,108,172,046,458,583,525,760,313,686,
568,576,289,713,553,020,743,179,302,305,834,142,657,173,683,902,437,234,663,
050,448,294,238,218,751,869,104,006,007,427,609,250,921,365,674,471,692,392,
541,408,651,860,217,775,080,102,328,224,149,467,043,232,489,919,394,961,479,
652,531,492,872,781,707,225,145,943,815,770,653,456,567,176,464,938,031,294,
253,342,123,002,391,099,859,932,250,734,357,379,554,721,070,715,206,282,081,
024,402,061,315,995,740,318,117,698,489,699,872,159,579,555,450,720,105,880,
923,649,968,559,489,410,699,011,173,339,763,535,807,762,226,199,332,817,462,
536,431,848,393,314,808,892,317,521,780,954,904,378,996,247,113,329,604,727,
035,697,371,674,130,487,974,841,148,381,489,985,077,938,797,409,812,748,135,
845,133,865,626,438,085,216,681,814,885,530,217,346,362,863,219,589,129,421,
468,858,615,545,716,745,521,129,379,358,240,400,406,027,607,848,089,007,290,
164,584,041,515,220,876,343,357,573,912,631,133,860,497,161,955,858,198,174,
081,414,856,725,597,360,960,238,961,840,049,241,211,326,618,976,657,266,414,
388,515,228,021,283,626,506,125,630,907,927,958,217,684,382,332,858,846,394,
052,896,204,128,228,935,734,579,764,829,907,443,060,451,258,857,505,636,975,
475,064,473,497,869,058,168,171,765,262,750,393,982,677,642,395,778,332,466,
348,928,993,765,491,100,521,445,815,718,147,079,043,387,928,301,847,890,157,
953,026,816,430,760,825,889,173,926,103,206,215,023,956,126,714,890,306,242,
990,182,362,977,028,467,689,994,015,094,310,579,187,304,584,055,653,221,825,
306,744,989,135,894,319,475,096,080,730,650,223,659,795,109,414,258,290,385,
082,513,203,864,238,842,251,797,805,445,992,367,689,427,420,692,741,113,478,
481,666,023,363,105,187,204,104,269,001,772,501,035,057,600,974,100,249,334,
666,909,021,789,568,857,450,943,846,049,169,214,207,327,128,488,815,034,068,
339,403,921,114,043,246,067,496,535,220,493,264,769,696,478,683,057,831,106,
688,229,092,192,483,365,538,514,939,650,002,268,041,448,119,282,905,551,179,
642,984,701,483,531,418,031,140,884,896,914,406,274,476,942,227,648,358,247,
895,734,484,384,472,871,891,925,254,704,656,110,174,386,487,441,520,688,707,
638,143,266,005,930,475,311,633,822,584,878,299,614,885,952,730,428,509,126,
841,687,720,461,338,610,019,162,725,724,065,803,383,873,543,924,275,824,023,
276,210,453,523,775,760,683,705,812,994,573,506,764,231,983,958,139,667,777,
011,262,841,816,025,042,598,257,652,657,618,013,671,083,639,335,372,731,709,
696,118,549,808,329,919,940,751,990,145,153,574,602,798,149,889,049,896,804,
794,454,521,056,949,955,060,000,361,248,427,492,384,376,690,349,283,861,517,
191,279,075,637,655,310,949,887,410,307,649,614,237,317,770,097,872,481,588,
485,978,619,665,035,400,827,846,209,196,624,815,904,107,730,189,307,452,123,
091,498,295,938,751,056,839,422,134,569,934,942,559,693,902,193,920,153,840,
952,896,716,802,838,649,518,265,054,744,223,396,092,320,976,435,188,645,737,
475,340,720,081,884,697,651,233,230,786,442,019,269,407,652,380,252,258,898,
922,304,698,593,961,633,781,521,474,094,317,445,732,379,776,260,961,361,361,
074,932,581,334,188,198,304,480,745,040,471,382,811,882,153,548,422,120,532,
345,481,260,125,754,693,208,892,031,057,197,058,605,303,516,357,222,826,636,
688,312,070,242,324,210,430,943,001,780,696,961,540,801,064,728,893,431,946,
421,731,229,107,689,376,610,022,320,360,803,700,732,281,177,679,618,960,922,
701,235,013,111,110,546,085,811,900,050,678,516,959,999,284,047,281,810,584,
662,816,511,997,582,678,659,429,061,139,046,700,945,169,414,294,867,102,328,
148,245,266,346,568,092,097,740,154,468,223,286,216,239,374,819,563,120,509,
704,796,253,516,375,786,342,392,677,653,638,609,082,742,878,310,073,982,287,
900,997,231,098,846,425,955,034,591,272,394,069,768,164,715,950,720,652,652,
029,252,418,529,506,210,103,503,903,054,001,242,763,615,833,995,098,049,586,
566,058,912,456,834,405,699,234,808,354,487,220,755,055,205,913,819,559,398,
740,778,273,532,141,103,798,266,851,988,340,504,972,258,807,599,779,303,153,
100,564,933,011,898,653,085,797,906,135,609,385,054,898,359,242,524,918,171,
862,212,741,680,157,878,130,581,150,180,025,267,162,561,218,877,927,539,217,
620,200,302,456,929,002,296,580,833,870,317,058,029,481,729,848,643,927,583,
536,256,691,975,391,876,902,169,967,682,440,047,573,294,405,398,503,906,184,
895,439,434,486,785,662,969,154,484,552,988,602,320,391,682,540,203,915,672,
539,356,512,545,636,968,652,254,805,339,197,711,375,432,525,983,515,268,953,
892,812,183,023,189,516,897,494,357,289,899,925,644,149,801,561,115,195,670,
339,775,507,020,399,141,719,181,803,062,388,237,333,021,361,436,079,807,911,
769,572,858,683,193,612,834,202,533,629,566,537,912,046,607,062,371,458,580,
876,161,484,397,268,379,754,452,329,834,886,024,774,243,131,310,439,388,446,
687,966,812,125,952,523,825,283,720,216,042,510,842,158,303,304,469,888,255,
693,257,413,021,530,891,186,441,533,903,691,703,190,497,634,552,881,340,299,
181,631,238,244,469,402,186,774,353,430,308,994,187,507,134,305,237,782,542,
055,226,664,353,975,240,625,647,934,114,068,391,665,153,120,893,469,497,317,
529,875,762,725,368,357,224,929,765,156,348,002,130,156,928,344,378,924,328,
831,284,755,544,656,385,726,530,700,835,433,056,332,563,916,280,572,535,973,
609,121,631,695,222,685,932,096,277,971,988,295,186,933,373,846,560,547,965,
594,158,736,148,915,516,359,551,563,994,343,940,039,100,375,432,988,034,956,
249,072,603,345,427,046,014,279,174,802,529,383,582,870,903,746,381,876,135,
342,550,625,400,650,629,528,947,327,080,461,294,998,874,151,490,502,927,093,
278,359,892,443,168,511,474,597,803,808,843,782,210,810,896,289,369,634,880,
893,836,532,792,520,326,453,346,117,263,591,471,259,676,011,385,324,066,588,
640,815,926,932,946,495,209,569,862,917,382,570,339,264,010,373,540,130,188,
856,468,329,347,789,195,889,279,457,175,051,182,001,806,232,266,907,411,026,
222,032,538,648,419,451,184,254,960,902,077,920,534,993,746,695,797,749,850,
384,204,666,335,749,317,905,915,216,537,206,525,014,698,770,102,716,901,246,
017,545,084,230,270,925,811,441,908,146,577,004,965,611,913,796,838,596,086,
197,679,178,792,203,682,931,300,554,945,908,681,982,281,206,236,335,672,082,
133,629,098,923,536,861,738,233,654,552,416,184,664,628,016,797,960,536,228,
196,184,261,492,550,932,812,272,983,864,749,663,325,555,773,773,080,607,503,
457,069,927,095,022,338,436,698,132,028,705,361,998,582,625,749,349,734,869,
832,350,857,960,510,163,103,181,411,882,454,945,389,583,412,150,801,620,307,
660,147,803,663,841,317,781,361,395,761,706,375,890,770,124,541,812,954,347,
915,617,975,714,871,025,767,419,876,809,931,261,710,719,116,144,022,152,997,
202,203,919,793,310,129,326,339,144,781,075,293,613,071,947,144,594,013,527,
058,874,727,430,618,484,793,707,099,924,833,391,541,778,275,345,832,069,516,
769,593,583,782,646,768,231,529,108,097,940,138,928,379,212,097,231,072,518,
507,708,932,892,285,015,728,992,459,240,384,710,689,847,148,478,720,578,075,
861,740,708,550,303,326,069,979,302,937,162,715,032,244,855,176,853,137,481,
735,505,296,375,688,327,970,278,305,518,210,935,820,500,140,812,392,132,673,
696,855,399,838,185,095,154,433,235,264,054,153,582,372,310,643,518,081,569,
147,868,834,166,813,430,306,940,851,252,179,700,884,159,689,792,129,375,717,
002,651,620,193,522,594,335,313,513,251,405,007,897,687,921,851,370,569,305,
908,393,017,844,750,230,013,291,053,770,744,492,356,772,437,382,979,768,362,
705,602,920,223,820,894,565,427,825,777,167,093,572,004,412,194,265,285,554,
447,961,774,017,041,900,763,135,144,406,665,491,440,809,819,385,168,997,442,
648,408,933,785,743,977,067,027,358,709,990,326,528,780,777,205,479,043,871,
649,874,690,860,869,643,346,586,774,606,384,319,773,920,344,049,009,641,392,
961,301,051,751,074,304,078,164,944,522,148,985,854,886,198,468,464,552,834,
177,368,818,583,110,225,864,260,414,704,786,013,202,550,264,576,851,102,664,
468,269,194,656,553,873,889,042,476,298,088,563,938,984,888,810,438,051,391,
203,863,533,571,616,734,572,257,567,126,410,941,175,973,450,090,400,049,541,
236,134,702,260,771,452,405,739,081,476,439,921,364,690,315,176,481,260,788,
862,624,020,723,290,379,926,300,868,420,128,562,449,588,925,076,133,613,254,
258,246,584,436,912,257,123,458,057,903,019,139,000,628,642,380,887,432,976,
201,940,986,868,376,400,471,186,499,544,181,026,940,896,000,727,612,758,542,
415,958,555,649,880,030,906,398,968,895,733,286,773,867,781,721,420,415,866,
110,381,479,529,930,036,246,422,282,203,279,778,335,533,205,365,870,999,569,
845,608,894,292,174,579,570,231,459,027,180,895,533,129,187,838,345,440,397,
849,643,561,744,109,888,835,301,524,162,771,095,119,399,680,941,789,748,857,
890,798,951,692,604,936,214,870,601,753,142,434,053,293,184,748,925,737,929,
629,385,706,206,737,971,628,508,712,795,402,865,961,641,369,447,405,786,788,
064,043,095,070,674,853,615,825,563,614,770,226,047,789,682,364,893,333,181,
242,616,713,117,539,373,651,242,397,794,876,428,647,708,429,017,142,974,338,
448,047,403,937,421,174,282,249,247,423,594,681,159,659,032,658,763,249,099,
829,295,119,238,661,442,494,398,577,197,570,219,297,718,358,223,049,435,947,
774,704,134,968,859,377,123,532,611,692,882,194,448,917,427,721,268,732,133,
434,189,209,402,047,170,011,842,386,598,877,128,867,852,048,585,889,557,805,
528,723,688,819,739,530,544,080,827,496,773,529,202,151,512,018,751,178,737,
012,812,198,893,961,368,003,148,204,792,293,461,474,278,546,661,796,850,108,
091,645,901,932,379,069,035,253,128,574,306,014,317,086,719,231,791,733,913,
177,022,135,476,177,716,853,947,344,180,054,756,168,936,265,337,336,951,792,
389,053,367,644,987,705,638,510,674,951,422,476,111,754,043,249,523,921,931,
733,291,359,169,571,856,776,283,991,406,095,248,695,091,159,012,336,789,836,
114,189,957,691,305,971,340,721,503,307,181,665,594,396,875,932,693,141,434,
594,482,600,032,844,226,252,659,884,620,841,011,831,955,216,740,699,064,363,
948,648,919,466,922,626,014,059,185,551,074,778,852,926,374,088,702,804,059,
905,431,451,403,042,526,180,777,361,555,200,036,966,983,646,786,165,869,541,
481,118,463,049,586,971,004,230,797,108,157,576,272,634,918,982,862,830,573,
403,180,765,159,737,994,725,883,147,431,789,981,106,385,445,689,025,715,992,
547,266,647,664,559,860,055,672,654,253,708,825,001,366,306,350,701,143,031,
193,252,740,902,324,150,873,182,304,229,089,373,422,330,631,658,808,442,767,
194,892,087,544,069,430,393,866,183,127,036,204,306,074,030,655,951,834,772,
822,775,578,204,091,617,709,586,419,805,260,501,517,937,086,534,751,715,295,
320,802,002,695,702,168,702,983,405,205,233,327,165,035,793,072,359,412,495,
187,692,800,354,536,442,370,803,085,803,722,607,606,552,761,589,445,372,756,
035,920,400,137,293,732,337,652,404,068,640,667,227,307,025,965,617,583,774,
299,074,246,537,998,006,658,256,166,015,290,964,765,679,944,570,927,693,530,
423,099,605,531,217,003,543,163,530,261,712,738,347,929,108,852,932,700,004,
541,403,742,854,601,419,573,072,126,366,875,486,777,744,255,496,437,451,410,
347,720,765,461,648,006,446,101,646,632,713,465,310,220,441,112,883,332,697,
115,362,270,987,806,399,837,419,451,196,839,399,226,342,951,276,720,526,277,
561,863,902,071,720,122,603,597,037,858,321,184,582,619,655,429,745,173,720,
964,990,421,362,477,332,391,982,338,899,860,103,559,041,611,189,628,056,650,
170,077,517,788,525,431,982,393,873,898,240,974,534,802,434,851,475,167,487,
163,665,210,549,086,010,617,256,075,985,852,667,663,533,836,142,145,178,202,
242,287,675,811,432,871,307,417,044,344,227,512,002,580,621,529,741,204,931,
449,407,976,180,403,842,536,476,966,549,787,828,602,975,852,930,859,828,964,
738,539,838,912,372,813,493,970,147,215,906,704,267,091,302,055,231,516,490,
380,764,934,773,274,880,379,137,282,455,514,748,209,486,955,875,219,914,421,
378,399,466,476,214,042,314,474,892,305,496,928,907,101,501,172,600,555,295,
921,772,556,545,023,420,113,646,971,524,493,818,192,890,385,542,475,121,636,
656,916,218,494,337,787,267,557,801,306,704,926,807,619,954,958,681,197,810,
896,076,115,805,924,876,384,313,170,965,129,996,050,146,732,932,680,310,955,
754,222,475,110,112,535,613,349,991,991,647,047,214,074,773,962,894,469,631,
822,274,302,996,019,631,632,382,878,580,019,456,709,288,583,160,255,924,379,
894,906,633,173,642,907,418,318,342,683,173,611,033,933,000,494,187,948,012,
772,081,803,518,015,648,067,061,055,409,049,179,600,451,181,760,348,289,952,
136,987,270,558,047,102,438,339,419,820,006,239,923,847,050,017,366,546,457,
711,110,526,796,595,923,420,684,865,396,013,517,098,412,181,365,270,497,740,
081,368,297,134,044,752,718,162,577,466,339,016,774,942,266,184,995,185,034,
885,988,954,612,360,892,602,365,979,295,889,212,872,749,680,901,369,685,320,
741,635,873,478,086,884,680,813,310,767,654,497,783,880,214,818,877,290,998,
044,153,993,200,467,278,579,856,021,077,803,694,033,487,170,963,350,227,003,
632,732,135,460,988,276,090,820,901,318,680,493,935,727,448,749,728,553,369,
542,067,218,024,848,392,496,292,893,135,056,489,868,813,795,118,401,821,196,
077,188,899,192,727,615,622,259,883,366,822,697,381,886,869,462,455,489,401,
308,873,860,102,122,644,401,138,556,676,022,408,748,973,730,660,414,824,647,
474,657,053,082,395,268,165,040,545,772,518,320,280,681,280,315,134,686,655,
288,610,094,224,644,148,518,272,639,636,852,036,772,787,161,450,717,537,168,
939,699,912,357,694,336,235,643,486,287,789,863,480,022,197,487,087,441,485,
721,825,169,552,335,025,716,139,949,554,186,096,723,244,895,400,735,755,192,
168,159,658,458,930,782,950,581,487,856,326,528,070,065,103,995,711,645,728,
161,607,603,689,880,458,281,527,371,823,502,215,076,082,716,438,685,539,972,
848,438,619,517,300,824,533,730,139,411,910,649,031,293,418,814,016,979,618,
789,009,488,250,342,304,464,908,980,448,189,833,514,648,981,168,769,583,349,
990,627,687,858,116,141,548,826,772,938,203,592,240,790,843,118,045,386,326,
182,533,453,198,301,560,064,165,651,189,057,938,230,378,675,141,670,592,400,
015,751,016,393,654,138,226,441,420,433,567,468,282,881,529,498,168,104,214,
148,799,211,534,268,849,786,297,641,318,222,126,404,302,768,053,513,473,882,
781,705,188,061,089,031,286,068,566,706,693,986,485,251,699,881,406,813,582,
807,940,030,666,016,080,789,370,287,373,211,544,628,759,672,466,502,532,884,
698,028,127,894,821,330,550,416,554,998,506,425,292,056,720,448,547,012,589,
527,659,572,063,316,611,100,110,038,326,976,667,728,044,171,979,419,128,451,
612,003,633,820,382,290,699,102,913,044,702,291,729,509,632,988,756,469,509,
071,041,807,191,206,837,899,218,923,610,856,762,287,327,110,028,900,537,947,
607,952,026,163,826,175,146,668,301,942,003,409,919,519,550,487,119,420,521,
308,692,376,619,064,306,467,974,574,068,449,424,969,411,162,073,087,340,018,
262,017,330,458,536,914,605,391,283,008,095,880,697,143,806,555,723,483,750,
262,710,583,765,355,405,465,060,710,362,244,521,540,601,930,198,011,979,941,
486,123,840,064,248,381,494,854,636,239,538,692,876,138,379,329,657,180,299,
888,599,743,728,639,129,107,127,378,084,344,792,577,537,990,665,303,715,956,
402,482,926,803,173,507,211,755,578,988,414,973,049,757,966,528,857,911,724,
112,300,792,889,183,437,497,631,502,750,672,051,544,941,891,420,289,465,705,
891,637,212,362,216,944,961,625,961,968,108,114,316,996,200,959,965,791,912,
671,738,155,300,702,720,196,831,413,471,022,497,569,032,051,346,540,312,774,
006,338,437,044,612,667,099,695,247,124,233,389,210,357,671,918,970,657,797,
296,115,663,444,147,245,803,431,937,596,028,400,035,304,334,317,703,255,056,
253,585,371,980,959,572,771,122,000,763,288,001,446,962,262,898,535,845,104,
913,619,647,615,118,526,993,267,304,346,460,503,679,690,450,245,770,470,925,
047,593,484,653,766,109,769,706,157,081,030,182,706,239,692,755,689,246,890,
633,117,424,136,787,361,253,189,575,992,681,210,803,173,183,703,470,170,150,
736,482,475,011,478,825,653,662,839,020,810,337,807,069,803,534,732,784,544,
751,245,189,466,627,169,137,181,820,875,773,523,640,811,539,321,383,704,653,
043,975,706,711,922,960,699,381,618,114,560,913,547,621,354,751,124,687,240,
409,558,592,200,091,014,904,616,272,837,929,828,096,620,337,087,814,107,967,
153,046,236,305,820,783,828,517,257,582,960,948,896,211,890,074,314,281,986,
182,599,138,281,170,834,819,273,826,763,422,869,309,579,736,084,852,692,262,
741,213,602,343,575,270,342,288,988,873,417,242,888,180,950,875,513,053,406,
464,835,202,957,943,142,485,108,529,718,339,255,789,906,028,880,451,008,757,
716,359,331,232,714,181,831,255,119,413,920,338,976,984,747,050,632,014,023,
385,028,072,528,542,287,587,140,290,173,717,513,826,715,486,892,924,933,349,
421,062,964,538,678,858,640,981,502,439,555,756,919,968,060,919,615,007,923,
703,799,330,414,026,178,839,882,943,921,222,002,974,596,935,090,959,026,313,
225,203,666,543,189,300,054,197,104,358,985,795,164,268,034,894,616,578,673,
012,081,506,208,922,411,681,214,385,212,445,437,199,029,989,943,507,199,425,
510,649,004,812,592,580,935,322,096,394,517,058,049,385,925,887,095,838,765,
741,733,733,453,769,471,095,217,675,847,195,272,042,302,405,409,188,511,964,
389,330,113,929,729,204,342,692,164,161,133,148,653,267,664,379,233,780,300,
428,244,740,623,234,015,250,619,894,067,446,772,324,416,192,654,661,405,896,
343,417,500,018,035,059,044,508,989,296,277,598,404,906,444,352,115,672,879,
628,370,892,560,297,734,122,280,723,191,852,711,208,840,964,185,694,763,094,
677,772,733,564,048,954,303,845,979,322,564,011,736,695,821,532,597,186,285,
798,138,729,698,070,229,228,406,267,085,446,091,219,024,233,510,851,057,181,
879,480,810,279,543,777,277,537,707,072,332,574,633,546,874,274,720,836,492,
499,412,792,894,111,980,826,080,681,398,433,279,353,819,654,511,887,215,588,
042,374,960,467,416,741,262,224,329,106,889,320,996,736,871,238,017,925,647,
676,236,559,575,418,899,366,152,315,115,343,985,212,754,313,677,457,801,941,
630,036,143,359,068,217,176,307,762,394,253,841,390,730,723,762,692,215,831,
776,464,533,790,039,413,322,610,744,060,096,060,741,341,763,965,071,041,822,
312,086,584,361,840,169,935,365,977,396,237,383,238,210,423,727,432,644,963,
320,134,358,585,677,114,999,810,157,323,652,932,684,696,756,255,734,178,600,
426,721,994,165,252,079,984,039,903,219,178,407,305,894,373,271,432,912,260,
436,439,315,558,153,451,574,538,542,885,171,140,486,194,620,129,373,742,516,
599,543,903,218,776,125,414,619,105,046,798,248,995,462,016,276,423,058,251,
695,896,422,254,807,701,433,511,660,317,193,699,416,559,299,158,382,039,499,
583,071,037,308,422,852,528,773,015,715,439,200,740,889,945,787,428,523,458,
330,290,672,090,527,193,455,355,089,179,800,004,302,448,820,270,867,397,578,
700,269,740,515,661,413,444,482,196,598,182,750,453,200,672,194,293,405,431,
912,970,835,048,173,413,889,038,807,687,702,374,298,852,053,126,339,833,506,
794,442,421,768,719,555,189,275,563,241,912,296,281,260,402,587,284,725,222,
929,868,772,021,506,978,669,599,519,458,208,426,536,013,434,993,333,421,773,
636,658,967,532,751,221,831,802,159,096,317,769,811,596,200,185,742,991,569,
540,771,896,772,479,330,687,572,072,521,522,072,020,498,284,338,823,973,460,
181,621,861,264,157,702,316,113,250,224,997,282,571,085,592,114,343,522,995,
159,548,959,996,244,615,611,129,371,154,175,841,703,242,847,187,339,210,754,
281,782,506,324,492,513,769,562,988,820,355,935,335,961,804,523,368,394,824,
520,809,968,714,808,105,958,243,003,135,443,963,065,302,329,820,071,943,753,
991,975,479,137,668,527,330,357,346,842,952,588,755,819,514,891,239,530,180,
276,052,003,401,440,057,966,404,918,336,898,617,369,283,826,866,139,822,818,
030,733,886,902,146,008,216,696,137,369,920,712,428,593,430,602,166,125,069,
921,892,641,256,507,593,807,060,876,484,180,799,846,935,968,451,526,577,859,
745,155,360,121,948,849,690,761,192,257,307,571,437,272,650,345,297,575,131,
663,793,819,678,691,380,221,304,377,014,562,557,026,361,711,769,768,858,306,
770,850,102,592,356,238,924,065,352,963,667,944,702,791,634,892,428,331,801,
546,513,316,249,353,094,748,124,816,738,308,071,780,064,266,004,330,467,458,
053,094,700,434,456,554,945,962,932,701,823,239,300,410,372,637,543,553,013,
893,574,062,967,625,133,096,689,107,027,517,593,606,983,621,437,926,242,578,
256,845,945,888,920,767,678,539,597,838,249,628,594,369,552,330,108,393,888,
244,627,275,932,915,199,740,526,059,705,973,926,905,070,057,800,877,862,236,
922,986,389,244,696,108,120,862,690,921,355,380,458,915,108,700,059,708,435,
625,818,730,333,276,949,201,488,894,387,836,334,690,835,476,209,064,248,952,
591,176,144,510,960,291,411,680,476,459,840,240,142,939,252,792,057,182,631,
837,632,442,482,917,038,677,299,569,453,465,189,519,559,687,396,108,917,728,
639,939,214,104,686,265,177,979,942,016,967,396,652,158,858,052,555,896,930,
538,334,573,074,827,412,070,203,338,623,593,649,766,685,692,051,344,714,071,
735,967,967,177,507,091,958,983,091,832,428,116,171,928,008,387,069,642,366,
906,997,750,225,739,934,949,807,797,634,752,161,769,823,711,823,209,351,437,
888,389,234,423,320,600,728,231,405,157,439,842,512,626,969,794,408,042,710,
449,868,075,481,246,631,760,029,127,309,410,343,490,675,607,428,342,839,892,
115,248,431,307,265,398,262,826,903,175,777,824,148,335,755,893,202,574,481,
542,414,206,623,851,966,278,336,612,114,104,069,949,784,684,774,227,185,718,
672,175,190,346,980,052,978,656,087,892,490,027,871,466,675,787,814,179,571,
980,877,442,509,613,831,715,498,175,009,271,222,697,877,969,507,831,221,879,
560,137,990,129,241,581,292,881,958,977,816,858,647,331,826,914,120,374,251,
059,822,611,384,406,382,373,782,093,865,469,830,124,816,325,942,036,991,371,
053,745,040,873,905,529,493,844,858,352,261,637,535,154,391,763,797,166,564,
728,231,643,327,851,070,245,567,652,317,542,484,242,478,344,346,354,918,788,
141,767,788,196,034,138,157,029,585,155,944,132,510,202,199,988,459,094,956,
728,975,223,389,320,921,597,034,018,324,554,169,240,828,212,648,359,814,836,
371,424,947,400,606,582,421,471,352,979,204,870,057,071,049,477,173,971,429,
971,004,887,282,764,709,239,493,085,202,776,083,483,058,459,210,136,351,776,
572,641,856,160,507,147,940,365,123,248,860,974,386,057,080,808,727,515,278,
812,357,690,077,007,267,189,184,773,683,810,176,683,570,211,508,321,701,653,
624,130,832,421,211,418,882,351,737,830,086,961,752,346,856,835,833,919,198,
681,323,092,960,729,513,519,351,645,114,346,218,996,412,769,570,667,226,422,
468,468,076,282,305,282,211,834,440,879,528,676,592,029,985,583,050,261,598,
466,089,387,273,578,127,692,501,152,023,028,926,663,719,585,758,010,149,561,
619,619,703,981,178,247,630,638,411,750,982,953,229,399,281,326,014,881,245,
820,932,341,859,221,813,819,395,891,647,508,946,961,610,771,237,911,239,347,
332,208,590,358,394,283,730,742,675,390,774,957,727,392,583,245,378,884,534,
407,303,319,633,059,729,534,910,974,704,810,959,978,625,626,704,277,031,077,
674,955,865,627,578,714,959,941,716,631,730,306,266,610,919,568,471,633,283,
898,931,428,001,478,828,656,786,654,178,338,379,703,171,034,838,929,427,127,
895,788,825,939,695,117,273,885,207,069,711,228,371,574,955,170,933,410,976,
369,795,974,001,863,008,448,827,687,863,701,944,288,216,667,640,471,130,564,
731,730,403,410,581,001,029,938,364,557,664,329,998,029,678,748,163,808,591,
404,696,331,727,249,169,283,091,882,650,561,244,016,807,786,842,885,705,619,
453,306,501,721,443,791,748,403,248,114,155,683,939,356,661,321,805,228,412,
179,095,730,644,654,608,667,941,854,383,628,051,226,595,366,289,321,524,781,
934,749,487,297,550,597,168,960,153,413,576,645,960,205,897,275,751,505,564,
199,534,296,761,541,805,486,669,544,045,388,922,437,132,576,629,905,024,542,
775,993,619,253,051,099,858,756,865,007,141,400,010,884,915,928,559,135,377,
351,464,359,215,351,204,852,854,615,060,948,417,577,092,202,803,981,418,138,
304,818,754,216,457,793,753,711,832,510,162,273,875,042,104,965,267,808,511,
753,550,500,153,664,537,676,945,013,613,226,805,274,952,634,240,416,504,386,
786,877,375,034,940,218,929,358,843,271,142,357,402,515,847,069,754,364,880,
957,779,077,198,199,948,753,182,261,732,150,306,489,146,853,241,577,346,392,
414,492,079,973,741,258,774,365,772,761,601,433,223,078,612,483,230,011,378,
480,090,332,428,729,154,570,432,220,616,072,007,015,866,958,806,530,591,147,
471,290,294,312,969,295,981,130,963,334,678,336,009,349,041,385,610,809,810,
127,797,484,617,153,418,875,612,159,897,446,863,946,188,801,939,939,563,326,
751,958,666,151,039,113,143,789,437,445,948,565,503,400,352,829,578,373,370,
351,328,300,127,764,182,199,725,789,760,466,992,307,608,851,265,293,428,993,
429,603,704,779,039,055,306,778,844,532,373,447,523,273,762,445,887,882,574,
199,606,023,265,028,140,700,224,053,058,576,874,822,810,387,538,204,969,592,
593,297,479,559,684,831,976,662,503,208,759,355,599,501,004,007,326,656,382,
523,338,139,344,804,900,018,803,372,908,944,590,991,696,009,365,653,176,895,
982,282,186,948,036,640,637,400,428,191,158,156,564,430,164,770,345,789,570,
823,287,842,142,849,686,342,987,277,746,837,617,012,042,052,422,032,739,131,
937,987,095,673,711,380,382,902,625,215,519,749,829,228,980,189,354,752,527,
598,974,290,656,899,786,751,132,862,036,084,910,328,574,619,351,359,272,127,
980,354,827,129,328,327,449,959,640,871,536,240,715,554,146,800,168,875,666,
783,396,481,245,273,891,131,935,010,950,337,423,186,767,459,757,647,337,283,
189,270,227,230,235,686,803,040,357,555,233,800,130,242,308,632,603,231,599,
857,321,534,903,961,616,225,988,705,539,912,144,513,503,121,258,306,069,812,
211,143,667,107,624,608,521,124,066,884,553,263,462,076,197,910,896,517,582,
082,233,353,781,346,595,751,562,480,751,041,462,663,006,509,368,276,668,505,
716,179,779,462,671,375,410,193,890,832,122,229,468,560,162,229,242,254,202,
127,036,483,691,977,326,538,338,852,035,244,079,964,298,657,188,072,460,181,
366,884,966,956,004,053,767,521,073,318,278,867,198,046,670,387,641,641,952,
843,813,135,986,345,407,050,462,307,816,707,367,086,525,064,291,439,273,179,
986,922,767,104,015,085,218,355,100,514,890,554,947,931,600,974,116,899,706,
260,751,669,584,103,739,469,795,090,945,720,378,743,415,432,448,346,953,919,
970,788,846,140,212,403,723,115,152,378,360,846,661,630,412,311,899,431,545,
308,355,931,425,362,382,813,828,130,978,503,280,724,278,279,459,092,193,413,
757,241,276,278,054,031,965,327,039,748,291,342,396,733,466,865,092,554,696,
301,681,738,183,069,279,613,568,071,754,548,909,972,289,733,908,443,467,279,
501,992,084,966,253,804,707,377,876,682,458,492,951,973,364,635,288,910,822,
705,396,585,841,752,480,631,445,642,928,393,233,091,092,777,161,754,709,020,
914,483,106,418,764,441,662,357,360,157,481,092,523,053,815,276,949,720,502,
595,447,203,268,203,717,761,087,741,911,011,098,586,881,248,448,437,131,348,
508,674,345,753,051,808,098,992,879,528,392,893,153,070,519,486,590,105,289,
405,757,598,370,199,765,921,730,356,749,043,778,677,928,556,759,274,294,403,
995,798,532,946,488,428,697,449,564,702,994,477,282,924,457,243,176,640,464,
237,638,013,202,916,413,963,385,631,621,721,529,254,379,706,160,237,753,826,
037,520,186,555,436,698,069,874,350,552,454,153,297,964,933,660,561,355,677,
039,728,914,932,004,162,575,100,943,523,854,495,223,715,284,548,318,177,148,
925,497,558,497,584,417,123,894,989,847,633,731,351,453,488,743,496,057,111,
408,369,409,395,854,260,055,549,849,880,999,685,248,419,702,438,046,672,419,
506,744,537,614,341,800,621,002,407,912,056,184,699,139,002,116,462,207,259,
847,658,219,568,515,499,851,380,175,825,401,336,774,657,759,321,004,117,070,
621,277,124,572,201,963,295,869,168,779,374,525,829,093,799,145,323,070,323,
030,553,847,353,989,311,091,274,379,311,752,313,204,888,046,631,214,951,536,
215,399,233,838,472,519,500,690,935,443,585,048,576,740,578,263,816,499,639,
156,099,484,328,585,035,921,115,775,090,476,081,104,903,777,464,788,843,263,
814,011,660,424,361,241,874,746,826,276,081,443,263,861,987,711,584,468,757,
144,133,888,508,242,271,615,384,385,703,017,887,689,794,249,435,853,869,001,
395,898,945,225,660,851,794,024,816,936,177,058,925,155,722,338,663,750,627,
747,976,283,368,791,330,709,260,742,888,383,445,909,467,520,736,259,742,560,
091,301,708,295,197,220,939,543,008,152,814,256,638,706,928,735,662,443,786,
899,808,774,596,149,813,806,747,097,370,789,489,424,228,281,736,435,520,129,
155,741,123,877,036,207,236,418,220,709,757,199,540,834,085,613,551,857,335,
308,463,827,686,787,357,297,526,279,114,187,346,843,491,465,835,432,336,311,
598,961,223,591,368,715,819,294,185,223,393,786,923,216,374,522,851,852,420,
855,217,657,315,904,997,062,527,638,599,858,073,356,555,547,121,363,010,587,
280,356,311,224,026,895,956,133,874,264,851,718,175,648,545,774,842,825,432,
080,631,817,030,174,379,593,788,727,480,143,834,253,721,473,772,454,385,106,
188,899,710,786,758,167,687,217,908,637,793,152,115,301,225,922,188,517,221,
159,435,360,868,395,075,337,250,572,931,171,672,701,969,923,045,538,968,934,
135,636,268,610,956,522,282,535,604,770,815,715,179,523,859,561,356,361,254,
442,615,441,730,982,562,543,285,436,491,698,883,795,387,026,615,556,596,874,
921,250,318,961,783,757,779,568,998,830,535,681,003,937,397,416,455,019,633,
879,938,823,926,838,393,106,712,289,476,879,141,515,953,854,169,860,335,675,
401,170,380,199,798,449,043,946,659,136,938,656,435,404,727,796,925,843,991,
289,267,719,492,064,553,691,085,621,619,246,774,304,596,338,450,664,764,120,
282,470,358,106,208,702,853,946,805,583,085,025,883,478,226,639,028,287,395,
266,105,214,843,776,191,607,654,520,340,208,045,276,469,858,052,827,942,816,
140,215,416,745,621,422,627,265,077,074,637,784,656,961,586,805,180,149,181,
838,221,170,089,989,506,637,294,171,339,248,090,850,118,031,961,416,689,059,
858,951,653,577,157,151,110,742,451,470,082,835,166,915,367,882,875,286,982,
751,603,172,153,408,380,562,117,471,737,681,626,473,785,513,788,196,519,336,
979,137,619,613,511,990,388,874,212,937,337,959,769,737,446,041,514,608,495,
282,292,886,160,774,873,824,434,924,059,800,973,598,293,589,509,809,815,391,
033,082,676,503,347,541,549,046,031,973,202,827,415,604,533,617,607,737,102,
709,658,618,881,863,541,112,793,737,105,204,987,112,598,482,396,201,770,758,
554,458,570,528,546,371,063,587,863,262,909,096,087,386,601,210,707,978,417,
766,739,550,577,296,488,278,471,187,143,232,025,569,087,626,941,692,129,553,
162,223,240,608,237,672,280,618,720,065,527,047,180,808,261,700,413,726,800,
578,112,037,934,917,927,416,580,146,994,943,592,306,465,632,311,731,518,217,
414,040,719,125,957,364,074,623,029,912,563,139,317,379,848,445,427,605,346,
015,008,742,751,495,625,981,702,387,191,363,935,748,592,797,068,143,721,141,
656,459,728,537,637,525,320,508,841,021,997,300,076,415,833,876,341,746,377,
474,037,742,572,759,889,334,533,587,905,159,927,319,611,115,883,421,931,813,
362,321,253,627,470,801,318,838,392,707,116,477,207,498,274,681,844,582,480,
401,576,748,701,785,794,959,966,757,478,331,282,930,936,525,011,696,032,482,
408,361,156,266,150,313,063,151,516,663,157,375,701,255,447,012,343,762,596,
407,405,812,319,814,472,034,058,803,401,690,282,630,692,167,294,471,025,154,
177,254,980,915,773,639,283,760,006,306,408,684,893,148,576,956,231,535,080,
302,769,762,982,526,794,404,609,924,634,978,702,033,059,580,901,926,946,585,
040,810,046,079,724,106,969,968,392,648,327,009,444,341,209,953,849,679,746,
687,593,891,057,415,585,529,702,809,424,932,770,078,355,768,782,056,563,300,
156,653,071,201,218,302,593,555,683,602,767,488,005,412,414,859,868,015,507,
764,116,843,459,473,999,366,764,390,625,380,086,278,034,685,447,749,439,091,
412,108,463,033,108,236,563,156,246,990,366,091,749,005,347,007,970,949,631,
162,862,511,969,143,285,850,886,238,899,569,001,930,156,836,537,836,495,470,
963,303,419,700,672,701,608,290,513,485,934,943,200,495,296,872,935,821,097,
308,217,627,489,983,826,672,548,354,848,303,511,043,316,629,258,234,129,600,
952,122,861,069,956,159,857,160,422,699,843,607,760,247,923,540,421,090,500,
301,055,970,244,709,229,572,838,231,860,518,794,979,984,938,073,258,262,355,
087,826,944,459,683,476,786,298,510,077,941,866,594,597,598,817,898,213,174,
295,064,659,557,581,992,297,420,828,209,234,613,835,181,496,487,910,885,224,
163,276,713,487,691,390,777,002,074,915,012,018,069,287,595,733,163,902,098,
861,425,168,051,010,961,068,098,632,221,061,823,349,551,304,959,417,785,702,
215,193,535,523,031,339,998,258,029,263,180,135,226,228,394,963,516,410,416,
751,105,556,949,298,691,612,846,731,917,706,618,129,607,797,246,411,195,378,
902,508,529,315,435,494,748,815,828,986,730,217,259,350,675,527,726,276,063,
088,770,334,850,303,239,724,817,445,053,491,879,616,088,279,619,368,014,927,
435,861,469,049,329,349,120,355,031,420,014,392,338,183,124,894,183,617,842,
758,518,625,221,624,011,563,921,921,402,766,712,929,997,977,623,170,196,005,
828,353,257,651,610,913,264,402,302,386,146,148,526,055,116,109,609,280,508,
055,192,916,697,606,516,736,870,062,020,038,328,714,443,557,023,822,347,963,
701,296,841,451,806,544,516,562,656,297,842,935,129,440,478,987,798,389,484,
510,288,109,109,403,375,785,938,933,301,773,699,930,605,965,156,680,883,931,
536,877,167,845,303,147,730,550,685,253,503,936,436,812,338,309,364,089,489,
345,527,181,229,249,301,854,785,976,300,089,888,482,931,668,761,819,263,112,
566,683,627,087,797,735,467,806,023,503,837,525,447,147,265,965,286,540,245,
441,338,394,659,939,202,483,356,743,948,331,375,433,789,302,778,812,676,744,
799,297,513,253,034,122,940,877,364,694,237,508,354,111,783,630,472,841,712,
049,532,358,677,607,502,562,859,774,333,736,508,528,605,595,543,840,054,192,
320,003,832,711,580,780,683,560,803,332,793,974,306,729,005,413,160,844,356,
434,359,208,350,953,765,575,322,595,053,063,159,188,213,581,604,571,646,188,
144,828,457,567,503,291,562,848,262,731,467,512,068,943,355,794,894,782,689,
250,572,490,124,787,606,805,851,724,989,493,942,615,334,120,409,814,455,782,
102,517,440,093,651,800,064,689,073,994,641,508,974,058,106,562,481,989,679,
714,356,119,733,723,929,092,450,312,948,150,328,814,463,201,955,611,058,597,
697,904,985,827,915,496,262,906,004,492,482,528,735,048,751,256,605,601,817,
026,326,928,597,611,294,456,916,270,110,297,916,702,054,527,314,581,238,012,
260,494,706,846,069,903,613,240,739,428,609,847,895,487,949,393,219,568,316,
988,169,365,834,297,486,541,376,846,142,215,984,079,895,609,169,310,434,376,
475,352,171,998,692,782,881,216,463,794,455,659,176,689,121,342,199,464,881,
448,991,568,430,661,143,133,650,900,171,839,661,635,531,249,860,895,399,660,
404,844,582,358,003,282,947,109,774,436,285,416,167,803,965,243,926,786,160,
232,742,177,736,110,313,224,081,662,417,194,703,003,968,149,956,280,698,309,
502,999,653,610,140,246,808,316,993,251,258,927,896,219,429,292,642,302,117,
294,536,765,662,623,706,076,536,413,087,413,804,032,856,932,272,684,474,936,
343,676,507,198,075,409,888,308,914,806,407,990,666,527,923,184,181,823,160,
701,586,880,607,466,292,442,836,336,849,645,537,729,881,374,237,390,713,130,
640,855,195,826,490,569,562,910,655,121,454,823,490,387,019,685,792,178,978,
515,910,922,440,347,222,370,290,302,256,466,839,588,490,278,574,096,124,320,
525,198,844,758,982,944,153,824,968,591,425,357,907,272,742,946,669,954,015,
862,797,125,870,398,784,442,326,881,927,654,896,849,942,036,949,479,362,921,
644,600,841,081,456,230,714,186,743,462,658,941,598,779,377,007,421,521,451,
526,412,078,007,356,286,765,348,688,510,780,359,497,461,868,345,265,184,130,
751,349,442,685,790,531,096,282,909,418,001,034,942,801,904,957,336,721,358,
621,979,501,611,807,071,883,191,946,382,039,576,443,255,915,139,336,894,501,
215,616,976,955,890,808,226,711,138,820,465,858,776,775,706,798,505,167,348,
711,481,728,032,390,223,729,201,524,288,809,661,812,358,098,935,022,159,112,
672,107,979,175,440,642,667,549,603,285,697,421,823,631,596,848,877,484,834,
472,683,020,733,030,319,806,960,355,366,502,348,481,358,371,055,660,641,139,
079,757,826,927,107,606,918,863,153,601,668,518,631,101,893,497,526,701,007,
342,122,434,862,651,461,762,110,277,032,037,066,005,288,518,526,735,938,409,
773,062,715,396,492,041,289,299,789,196,570,946,942,749,503,094,620,266,558,
547,214,789,596,993,243,529,633,349,508,378,631,749,730,419,025,998,630,472,
139,098,882,172,296,706,304,960,277,544,642,573,398,796,044,314,536,767,494,
026,911,169,452,684,938,460,852,010,974,071,033,824,936,572,749,918,847,844,
261,595,453,722,334,143,214,284,424,469,733,226,493,640,796,823,829,910,370,
897,347,901,895,559,482,469,936,392,769,105,410,331,297,155,219,742,649,859,
414,036,635,552,929,640,116,084,137,825,934,243,716,502,635,286,162,512,463,
461,748,882,130,803,304,354,822,390,196,287,085,417,605,073,820,581,368,138,
463,567,618,669,016,918,498,671,081,578,449,810,711,802,817,499,412,049,052,
206,589,573,217,541,050,075,492,793,580,184,404,737,372,926,571,674,180,518,
980,956,712,902,470,815,723,219,256,010,517,301,684,742,812,451,340,969,990,
933,254,217,640,929,186,919,863,161,664,563,580,964,391,352,148,993,943,354,
606,006,038,055,516,998,387,207,340,345,693,257,253,667,674,804,519,689,130,
356,412,253,585,155,738,229,763,767,594,809,336,319,558,757,485,464,151,737,
739,183,136,291,921,600,371,418,611,746,825,075,655,217,915,789,984,518,623,
477,819,666,299,905,112,369,988,777,018,111,642,343,940,061,733,575,718,440,
759,260,377,117,279,458,763,781,142,793,136,281,393,936,328,972,819,167,329,
355,300,979,792,860,929,870,860,647,126,243,627,412,365,217,099,751,300,139,
419,974,473,604,010,794,582,705,833,769,119,055,355,907,318,213,510,415,790,
727,028,361,117,198,078,849,805,791,490,795,794,631,896,129,701,768,639,694,
555,786,897,635,252,673,731,428,008,769,175,663,447,539,394,640,183,414,420,
430,823,886,648,864,027,024,387,589,669,998,735,415,242,930,593,205,462,472,
532,808,046,469,654,609,516,042,869,434,246,935,639,734,984,561,572,543,862,
183,276,450,250,078,883,195,354,081,551,834,368,788,451,784,303,514,670,304,
946,784,791,482,962,792,089,838,720,844,803,638,230,518,865,948,866,545,855,
862,590,175,473,263,578,860,238,069,519,929,081,893,960,900,619,169,412,464,
375,518,991,776,332,312,310,088,941,989,341,098,495,568,283,836,074,833,098,
535,509,903,638,245,779,561,182,167,441,680,517,194,798,768,714,031,037,204,
740,662,689,947,173,470,296,154,046,817,931,415,089,773,523,704,183,721,255,
630,415,408,854,228,472,556,772,812,403,746,185,726,301,822,181,637,243,283,
082,934,224,655,488,990,954,430,107,410,789,217,664,958,852,846,174,819,132,
422,432,520,166,618,731,619,198,375,754,201,371,875,161,738,058,100,374,598,
479,831,979,978,024,839,314,228,523,617,211,934,519,639,510,085,988,548,407,
165,318,325,955,215,143,736,410,306,942,720,230,436,664,901,219,817,697,872,
507,809,216,655,121,417,006,449,763,122,975,002,108,455,257,370,433,513,717,
684,934,902,414,925,911,669,938,147,108,017,751,267,748,589,524,216,285,903,
786,667,885,861,854,550,815,070,504,385,926,298,039,826,856,415,851,216,923,
662,205,142,837,244,328,598,417,043,322,059,570,168,517,269,840,288,541,287,
611,323,192,187,154,961,281,783,672,161,806,695,259,862,892,554,694,656,116,
624,532,101,346,876,648,805,077,029,437,248,162,915,010,906,684,092,238,827,
340,758,216,755,074,074,695,266,116,073,625,948,979,001,756,730,391,323,406,
073,959,458,543,856,401,894,784,477,208,189,387,661,089,579,735,807,934,593,
296,999,150,597,301,913,413,266,989,274,650,015,360,649,722,115,262,677,026,
743,746,768,832,721,292,526,519,668,191,198,794,358,844,112,587,788,525,632,
567,377,476,828,327,729,544,034,809,910,926,613,345,621,905,137,026,942,422,
294,270,337,007,548,037,952,011,515,708,745,169,160,492,197,777,112,396,444,
373,505,773,136,397,731,313,410,076,367,658,015,586,949,640,491,695,920,396,
932,235,259,236,520,619,169,677,353,493,881,728,121,064,645,336,698,068,680,
594,820,828,888,256,851,639,914,031,761,318,682,111,967,300,914,973,769,507,
714,825,695,298,340,019,076,741,575,651,597,161,927,610,919,575,456,306,518,
349,422,707,878,562,431,036,068,947,497,827,420,198,333,561,608,888,807,881,
284,139,797,357,877,429,842,477,317,870,855,190,961,058,375,461,409,954,048,
978,828,429,861,890,454,495,694,027,193,792,889,333,615,577,654,171,783,681,
784,100,134,238,608,155,316,070,396,434,290,154,008,195,663,152,553,984,454,
184,460,275,560,536,897,586,082,434,551,190,788,318,531,452,731,609,302,568,
410,472,439,880,157,306,543,197,040,302,989,703,159,471,752,499,667,304,887,
274,263,488,009,999,462,956,321,982,168,463,512,018,726,617,147,476,429,218,
251,038,950,471,859,757,587,277,092,877,393,309,020,036,700,445,820,752,466,
377,256,377,713,523,863,698,347,088,806,492,130,039,984,450,672,447,671,834,
773,390,668,759,952,817,282,887,726,574,273,763,714,948,667,531,106,879,497,
788,758,262,082,766,415,950,911,281,901,006,197,929,286,481,849,831,539,483,
478,062,750,160,735,500,575,126,336,794,471,202,473,617,404,700,097,148,966,
173,073,059,127,505,072,265,801,218,029,366,087,349,067,986,592,182,540,609,
791,660,338,145,099,128,940,381,026,116,796,304,000,857,650,170,281,360,032,
513,003,512,033,559,084,394,056,509,488,598,918,609,909,732,534,905,365,201,
014,519,878,846,137,376,752,722,081,172,060,612,827,091,154,119,130,252,894,
291,513,922,475,446,099,490,501,085,276,556,112,182,350,839,715,411,305,654,
058,289,927,493,692,136,309,880,656,507,148,049,969,144,106,222,039,894,181,
912,059,173,421,494,242,720,787,541,536,806,397,520,216,631,314,915,185,963,
713,799,978,983,555,864,083,970,430,867,860,414,099,377,709,839,764,026,175,
506,630,820,162,059,383,354,319,521,135,956,560,585,932,165,964,498,156,098,
586,218,523,809,014,127,926,567,023,556,151,986,153,818,994,408,290,853,094,
470,583,817,049,205,897,395,098,219,985,965,590,705,189,875,060,451,415,389,
907,593,630,112,143,826,745,864,728,712,240,372,559,097,026,319,701,163,221,
598,911,023,107,093,029,887,187,666,940,329,614,680,978,574,401,984,885,622,
830,515,807,420,659,186,089,241,082,320,444,431,388,068,034,645,544,304,183,
272,700,008,573,435,016,986,116,567,591,884,110,059,146,504,490,829,166,119,
137,656,168,013,302,729,861,940,871,305,414,858,418,417,914,337,697,107,437,
485,604,899,087,269,317,588,310,381,906,875,647,793,835,208,199,340,344,865,
145,039,798,037,061,839,179,998,063,562,086,490,449,809,683,099,938,347,043,
603,060,309,564,983,776,637,497,971,504,351,233,838,243,538,300,456,655,412,
367,490,954,675,215,901,507,993,236,946,614,922,968,252,664,781,199,966,310,
057,771,727,570,694,625,785,466,513,612,707,887,284,029,958,486,838,244,831,
167,881,696,372,635,611,928,271,532,637,457,730,041,302,954,869,166,662,458,
279,075,646,447,870,330,992,834,050,693,623,307,565,761,870,058,459,740,399,
857,938,757,047,354,780,248,611,265,010,201,710,203,495,353,094,095,675,838,
406,632,952,366,919,619,933,515,135,950,588,249,453,450,639,584,779,260,836,
105,864,228,045,211,483,783,481,329,790,948,557,066,631,851,916,465,595,384,
422,453,230,673,489,957,221,436,139,061,262,720,952,439,815,053,524,659,419,
923,433,468,794,337,550,109,721,482,539,786,123,020,621,265,393,642,086,162,
209,824,040,943,665,648,301,648,108,135,618,606,408,650,985,679,552,397,980,
098,766,476,081,138,934,897,345,244,430,652,280,753,339,529,399,102,347,575,
114,510,153,421,794,958,455,578,072,593,301,487,691,626,918,710,548,468,760,
958,034,096,133,281,503,877,975,136,326,064,251,533,370,265,429,572,844,604,
734,060,234,524,871,047,881,079,097,531,321,747,285,709,512,900,068,956,390,
198,337,127,669,609,734,773,898,189,655,311,999,225,481,786,116,850,345,214,
205,387,892,089,112,817,108,366,826,469,828,877,468,558,526,855,437,878,558,
993,386,347,231,797,882,485,962,510,848,339,135,104,013,119,625,735,021,768,
445,424,742,837,003,611,345,052,783,437,684,274,230,471,087,245,817,640,796,
859,985,219,016,422,164,892,800,508,287,593,994,015,771,260,238,063,922,024,
311,656,094,985,623,792,227,113,870,279,963,428,475,632,102,374,478,441,680,
735,563,383,572,503,316,643,546,675,013,095,254,923,643,556,621,338,961,756,
080,284,215,042,179,324,256,794,650,779,225,843,412,042,278,159,286,948,317,
861,581,280,441,703,212,807,760,648,019,350,296,996,423,853,802,449,788,639,
056,701,086,620,800,882,660,761,750,489,036,501,680,073,722,725,914,108,850,
140,900,670,333,007,167,886,428,680,418,019,809,695,179,699,016,922,819,373,
987,045,306,138,304,417,662,702,427,309,147,192,590,366,202,475,831,010,115,
821,631,759,723,570,689,017,175,384,828,114,962,872,157,482,914,128,103,406,
021,794,479,446,166,338,917,238,818,373,951,865,150,935,357,080,426,097,799,
163,942,243,500,705,175,253,328,161,334,932,926,883,152,036,246,484,239,215,
637,525,601,564,738,489,791,790,012,006,050,505,353,328,220,241,053,964,590,
596,845,904,480,430,599,322,786,798,215,607,445,046,170,764,009,387,851,325,
693,259,861,725,431,204,084,099,242,237,133,496,558,657,620,837,147,327,029,
922,742,405,036,476,438,021,247,169,308,909,226,876,250,616,136,314,739,924,
589,991,426,669,591,995,207,206,446,031,217,721,530,442,738,092,752,625,191,
255,563,898,150,646,227,009,851,277,749,176,218,115,845,990,213,941,923,723,
339,011,041,244,267,858,015,356,161,965,865,460,207,843,425,914,972,368,571,
215,445,552,574,208,540,024,484,481,302,430,362,735,779,612,876,468,560,566,
031,092,585,231,120,546,004,091,346,087,783,497,360,424,591,897,620,602,446,
981,134,665,382,640,157,695,793,095,771,536,155,705,067,867,163,868,078,947,
424,731,347,003,360,557,854,396,870,502,495,408,060,059,908,136,120,389,521,
457,154,076,488,798,917,046,185,975,599,211,939,173,392,959,437,024,836,530,
477,109,176,890,898,335,704,208,077,984,390,955,489,724,298,281,713,276,217,
034,044,181,878,452,613,222,016,640,883,937,385,473,957,461,221,788,776,102,
939,829,129,894,343,879,234,133,395,680,985,515,350,011,445,330,464,320,494,
927,214,425,251,784,834,653,004,785,474,211,701,495,955,102,326,882,263,525,
201,212,137,250,790,735,897,551,743,926,614,478,467,788,476,140,265,920,906,
993,145,111,741,687,462,036,780,171,742,482,832,472,041,802,951,472,465,226,
756,699,284,057,888,829,553,723,985,992,083,333,480,307,763,574,072,771,275,
103,290,810,834,098,837,109,881,188,761,888,204,796,654,387,725,729,980,755,
677,972,928,652,992,476,744,245,450,784,277,783,309,365,082,665,028,034,592,
182,703,511,314,464,712,086,693,691,826,555,753,578,863,054,832,315,957,516,
603,438,013,129,915,461,858,957,713,671,330,311,880,078,311,365,358,259,844,
073,135,401,387,877,121,923,519,548,316,661,575,135,050,301,403,894,713,082,
854,680,243,684,734,667,280,829,198,345,711,230,250,684,456,176,697,756,846,
824,802,416,938,855,183,022,130,996,146,145,711,146,450,561,320,473,554,168,
135,832,282,540,994,649,280,121,990,237,714,070,638,519,027,884,141,433,862,
509,256,041,489,855,941,960,428,947,483,855,937,027,168,195,631,778,346,373,
761,076,519,339,201,057,223,371,641,123,878,179,584,574,036,889,691,685,598,
724,074,081,429,442,600,576,718,474,758,329,808,185,803,678,612,232,475,666,
538,856,225,866,675,643,861,440,413,322,753,195,447,028,117,601,611,748,883,
527,865,048,554,455,657,900,509,943,646,836,235,642,169,935,369,000,271,049,
871,136,308,781,156,608,530,776,424,649,880,401,788,359,996,717,544,439,588,
829,233,306,414,333,648,382,151,967,578,866,513,647,902,169,935,997,879,221,
159,867,280,230,467,756,553,389,404,632,835,414,246,910,105,445,763,908,796,
859,882,199,166,239,050,934,664,730,904,290,743,679,122,652,391,618,019,420,
904,904,058,473,182,756,451,539,976,246,452,238,589,248,785,559,359,898,741,
989,293,218,425,770,661,250,655,379,289,549,108,410,683,524,376,368,611,995,
440,678,624,411,016,841,992,575,179,681,861,336,875,879,284,503,301,833,245,
825,486,453,553,055,329,032,547,356,583,571,059,410,650,332,341,066,079,711,
832,034,880,084,344,249,068,582,302,224,745,651,020,916,154,172,371,885,004,
611,400,305,506,224,476,712,879,620,818,300,936,621,631,422,074,661,061,809,
190,066,333,976,352,165,819,228,761,235,658,274,686,364,645,402,920,732,842,
344,097,297,864,470,221,172,041,188,241,141,205,537,273,560,122,175,084,563,
043,795,544,024,791,306,824,035,331,683,571,998,780,492,614,125,342,835,063,
494,334,491,424,862,159,316,932,190,335,393,506,844,767,941,650,204,179,107,
757,121,629,810,520,911,534,738,156,787,348,473,151,756,863,523,682,583,512,
021,211,224,300,915,096,576,670,694,212,276,292,756,649,856,163,142,262,924,
191,347,793,061,736,113,622,896,258,351,189,022,470,238,954,065,116,330,192,
822,277,248,792,423,344,825,587,459,724,235,161,767,031,994,586,539,832,295,
632,093,058,906,428,463,873,184,869,743,674,080,046,174,155,964,557,036,290,
217,658,879,471,042,222,280,595,433,404,067,870,488,771,277,265,508,495,936,
647,657,122,517,337,462,061,619,729,763,902,031,267,712,109,267,885,275,280,
314,246,822,371,285,585,730,706,228,776,524,300,598,251,557,851,075,462,321,
541,699,378,590,887,392,226,414,430,461,763,950,673,870,214,470,692,013,562,
308,350,539,493,978,235,199,123,147,993,685,515,154,834,192,706,673,631,559,
352,569,787,784,677,043,845,353,169,210,775,370,372,405,515,534,436,733,973,
803,440,174,871,928,550,896,561,642,342,090,686,063,171,528,801,929,951,612,
791,523,070,879,314,579,187,799,293,892,514,543,812,935,408,328,631,785,714,
193,986,548,271,431,103,708,475,197,358,598,631,665,599,270,701,972,609,610,
239,762,323,730,765,112,411,473,064,134,957,170,962,155,272,232,564,378,857,
219,710,663,379,931,859,840,228,414,701,248,492,937,494,468,636,604,683,131,
423,395,254,061,894,524,810,022,044,513,792,083,401,963,375,861,880,477,663,
856,568,885,748,169,838,268,754,534,128,425,276,210,841,274,029,972,555,432,
856,969,969,237,163,162,221,947,295,482,957,455,692,693,702,042,894,841,925,
241,466,095,090,243,941,225,508,612,577,381,611,736,389,609,017,730,432,998,
949,593,947,668,906,276,701,895,377,878,613,237,266,095,461,555,153,949,361,
472,409,956,226,569,554,608,911,001,500,384,057,497,222,360,889,844,706,948,
931,045,683,824,458,160,385,965,546,434,165,822,758,367,814,349,567,913,657,
286,376,428,282,444,565,424,985,023,625,474,861,775,075,419,326,796,927,595,
342,207,306,234,987,073,993,337,321,256,280,009,250,916,819,033,263,003,868,
534,052,173,863,998,829,072,478,420,391,710,552,959,464,884,614,296,790,802,
757,186,465,486,113,919,875,606,866,466,295,455,328,787,059,972,579,761,225,
582,968,030,625,887,601,360,008,432,872,618,758,450,395,563,556,480,660,461,
202,971,327,929,736,388,802,792,725,978,698,297,268,093,156,027,244,180,834,
390,074,193,171,361,100,105,590,618,549,121,859,087,644,261,972,439,699,350,
126,919,167,452,760,200,499,854,438,967,867,795,172,541,369,698,429,336,860,
787,620,599,969,885,737,320,006,194,080,903,575,658,563,203,931,075,420,688,
285,128,858,594,334,841,961,810,087,489,557,333,491,529,334,747,852,602,182,
196,554,117,397,633,342,033,132,210,195,803,053,564,276,683,439,371,774,094,
285,080,427,292,279,294,625,750,781,389,437,529,898,554,312,546,071,394,976,
515,707,843,439,266,083,351,835,403,766,312,470,519,425,211,243,676,560,983,
700,010,371,427,641,019,577,277,787,571,895,313,883,515,024,173,627,205,166,
526,795,627,769,103,119,893,820,957,053,971,042,200,937,089,905,210,986,523,
211,689,629,131,728,939,004,990,788,998,168,851,821,482,346,234,779,465,825,
709,091,791,513,023,941,561,170,971,019,190,997,121,941,047,457,685,731,935,
799,290,354,596,115,821,197,466,844,498,920,097,021,569,777,964,130,371,390,
786,677,254,813,122,902,334,839,358,767,584,860,715,510,236,452,618,584,922,
534,780,658,992,025,221,340,202,228,147,605,314,069,162,790,242,929,056,253,
539,102,263,545,234,302,442,573,918,488,386,142,625,565,225,863,911,869,809,
202,012,185,929,922,933,764,668,602,739,677,765,384,933,832,139,139,196,914,
100,159,804,857,100,345,376,070,652,931,119,694,314,549,197,555,705,262,900,
087,215,804,228,739,213,011,381,531,009,286,389,340,779,130,679,881,848,850,
888,087,354,600,106,717,283,964,331,385,535,110,395,916,492,869,182,473,711,
338,690,805,404,535,697,855,960,606,559,128,492,634,396,252,896,914,712,785,
860,112,329,856,635,919,789,691,283,627,007,712,851,289,635,643,960,595,625,
553,503,933,411,819,959,204,237,688,580,556,520,086,429,308,455,550,630,060,
796,436,259,836,439,135,243,379,433,941,726,032,320,191,903,753,980,803,531,
812,949,962,530,621,284,980,381,909,373,804,647,914,012,352,281,185,706,322,
741,960,949,299,265,962,699,367,204,458,432,536,107,491,325,843,077,894,949,
100,978,291,172,315,537,700,910,762,001,409,903,039,979,748,601,470,445,907,
458,003,724,838,754,626,799,222,086,111,061,279,842,783,605,351,394,012,522,
649,383,908,782,090,148,114,922,099,312,542,154,695,875,144,338,139,626,065,
719,943,452,164,207,520,284,887,156,604,737,174,762,168,952,664,237,161,611,
389,925,856,768,081,593,115,872,326,290,823,257,660,716,178,368,150,517,832,
750,381,693,495,296,302,769,664,666,580,751,791,718,935,377,945,344,461,735,
889,126,728,787,597,610,945,050,339,019,102,317,497,672,734,902,245,488,348,
593,807,975,198,307,698,296,445,482,624,448,237,777,026,630,702,625,797,049,
675,615,829,532,593,885,054,289,359,225,487,161,743,282,644,240,189,565,578,
917,825,487,988,787,845,082,065,229,368,410,859,029,212,386,310,663,592,835,
204,144,044,006,157,318,211,303,845,197,581,075,055,206,777,091,419,871,352,
271,069,629,624,281,361,826,399,500,704,975,623,756,561,256,032,994,062,229,
308,765,223,103,840,127,063,515,706,767,098,132,723,969,191,139,737,199,149,
644,271,623,438,400,019,446,221,634,214,569,114,732,575,080,817,518,094,115,
957,123,250,162,418,732,420,854,724,006,340,251,584,672,373,704,907,142,661,
316,107,924,869,827,787,507,311,338,221,475,086,267,589,891,611,853,545,097,
350,357,353,600,856,277,135,303,265,133,208,050,763,282,003,487,152,073,700,
151,501,102,560,667,721,625,906,338,992,135,223,569,770,144,674,922,266,948,
938,443,454,980,500,001,810,947,690,366,114,998,018,894,219,266,807,909,068,
996,382,219,903,967,324,282,322,248,203,632,720,227,876,934,595,813,455,577,
096,081,017,516,196,473,009,530,805,464,667,343,952,089,296,149,210,141,135,
742,567,644,812,852,958,682,126,268,435,501,993,899,197,521,356,598,347,974,
180,071,715,256,308,689,815,680,319,574,615,650,679,733,772,760,686,288,588,
679,069,777,348,001,954,177,594,760,867,181,842,500,926,456,006,930,684,222,
366,527,787,789,862,521,294,064,861,553,138,812,473,008,024,568,821,391,980,
660,442,917,621,278,398,013,608,745,961,898,465,962,239,050,019,160,629,186,
459,819,404,458,429,287,539,691,984,607,716,858,999,666,382,727,881,554,358,
509,195,916,918,926,327,148,202,964,703,386,756,071,969,867,420,830,335,113,
895,332,182,174,228,614,893,120,675,623,834,605,547,724,816,783,316,779,441,
733,047,404,117,810,941,103,456,877,586,463,080,381,657,977,028,745,496,003,
447,931,403,682,290,886,446,066,123,032,515,212,552,995,185,736,921,062,823,
060,610,418,728,483,508,812,218,964,810,675,890,222,031,348,467,007,964,940,
747,997,461,184,322,332,742,982,183,171,830,947,207,499,997,903,241,200,346,
255,973,144,808,583,730,911,846,541,798,800,412,639,400,819,240,924,912,872,
823,183,918,758,600,305,131,369,252,080,425,579,892,750,212,294,493,672,408,
201,560,680,323,872,944,764,093,439,679,092,503,523,000,137,147,655,897,243,
722,918,194,698,684,091,136,272,891,532,726,711,755,028,247,366,171,034,500,
816,631,264,361,882,387,444,252,146,427,085,922,422,779,078,565,055,865,499,
587,558,119,279,764,437,252,669,692,149,567,773,385,567,967,042,293,776,112,
298,931,971,057,750,951,248,023,598,558,172,120,612,264,322,996,382,918,458,
645,854,858,244,102,427,624,756,371,802,099,403,705,989,361,650,205,983,416,
122,256,356,717,962,468,478,342,665,520,974,188,887,733,625,834,698,602,088,
855,783,607,492,276,718,830,564,375,827,380,266,707,459,090,923,684,963,081,
775,441,859,594,522,379,701,819,476,346,146,619,922,363,330,530,164,623,300,
207,759,280,417,261,374,539,361,808,300,779,747,693,678,006,605,292,343,148,
568,628,133,208,098,553,664,878,761,508,420,601,553,244,797,075,340,897,695,
146,798,107,328,041,223,177,782,193,727,091,600,558,599,636,141,528,859,866,
176,633,086,765,530,941,854,230,589,225,405,888,051,388,180,862,134,175,931,
493,765,043,280,483,341,428,610,105,882,206,366,411,945,092,037,652,506,759,
313,301,926,729,744,734,217,916,512,720,994,075,025,461,372,759,911,998,923,
162,348,504,201,090,635,712,940,461,909,585,899,771,864,154,605,330,169,103,
790,384,374,609,923,907,802,466,078,726,889,542,568,606,597,045,824,736,299,
751,406,685,849,505,047,168,612,580,227,031,639,895,273,219,950,402,709,025,
797,122,504,012,424,205,783,297,925,341,711,403,327,061,166,306,560,152,562,
437,281,669,673,623,715,828,086,899,941,666,243,053,075,235,211,222,860,373,
646,834,580,458,781,483,737,169,762,917,848,640,166,620,442,962,962,487,839,
686,959,447,256,121,256,202,630,194,313,325,738,197,587,878,420,018,899,368,
793,782,191,980,427,169,565,169,349,495,010,135,058,016,507,438,207,860,806,
190,010,782,460,501,269,809,417,797,286,226,306,835,039,096,713,169,248,197,
282,774,965,641,891,021,153,459,454,819,733,568,197,237,375,540,402,094,858,
319,057,591,992,550,558,897,184,868,128,106,485,251,585,932,657,372,005,040,
842,706,187,287,536,852,308,155,533,328,838,412,283,717,744,513,477,221,955,
491,069,707,172,629,759,046,078,861,773,892,313,617,713,278,212,618,090,132,
575,367,947,195,081,030,457,850,905,138,422,132,253,481,259,276,631,736,782,
045,553,214,217,362,003,763,590,579,788,120,969,004,239,895,421,799,454,188,
241,478,088,041,216,659,015,170,569,279,726,716,718,423,541,464,780,572,945,
368,214,994,492,330,025,588,606,003,698,866,421,348,957,988,145,894,077,465,
362,788,248,994,860,278,842,774,039,707,872,422,126,107,864,469,403,805,187,
688,562,292,804,204,306,633,773,837,450,822,536,792,565,690,872,322,220,795,
688,032,081,899,525,512,688,843,798,334,898,503,354,052,103,702,008,297,526,
285,260,621,306,309,554,737,064,660,944,998,266,548,742,234,784,301,875,419,
846,357,778,289,931,746,561,179,071,623,382,780,352,686,282,569,156,128,419,
723,571,479,868,337,643,876,423,089,839,691,024,089,266,952,462,517,231,548,
990,786,372,469,065,241,235,703,712,789,667,766,802,223,996,314,979,633,833,
942,283,484,831,403,364,972,275,712,374,740,362,598,649,855,588,123,094,449,
945,012,692,512,634,554,850,044,038,616,900,743,945,359,484,100,478,907,429,
028,566,146,583,672,147,477,461,626,783,009,381,075,307,620,562,357,578,218,
281,886,021,951,117,539,125,567,378,573,787,344,779,817,894,557,964,498,994,
082,246,062,230,420,267,562,967,446,318,379,037,196,832,186,115,047,221,740,
004,244,524,212,037,473,971,819,314,278,935,819,397,559,461,143,299,617,697,
386,952,080,407,963,278,580,194,827,686,417,599,966,235,444,496,426,389,552,
323,890,001,276,395,155,772,880,576,487,557,361,088,422,524,374,018,353,325,
395,904,792,879,988,061,255,046,528,495,328,313,894,803,219,157,957,476,002,
447,054,262,364,000,599,436,961,679,685,940,242,266,674,934,607,459,561,871,
865,779,842,688,650,994,578,306,814,637,996,166,051,862,017,251,032,532,457,
111,312,793,274,428,765,794,365,468,922,281,619,790,706,841,556,532,761,391,
061,326,285,392,296,628,450,821,036,868,711,598,784,457,824,003,977,237,269,
643,329,367,624,449,328,170,728,904,673,920,637,004,673,075,877,079,586,065,
655,418,476,862,583,332,308,595,876,914,743,035,173,814,930,888,536,853,643,
582,816,725,637,187,291,408,101,804,602,557,816,233,957,188,768,578,059,989,
092,269,545,974,622,307,181,713,136,772,383,966,480,469,736,106,458,870,846,
095,220,751,159,994,368,362,436,095,793,053,779,948,243,649,699,208,654,521,
857,960,807,552,255,930,168,566,157,103,900,417,925,811,578,890,751,489,756,
919,978,482,264,637,627,902,006,388,644,367,501,668,835,117,996,168,842,934,
273,853,749,102,288,920,395,741,495,645,769,502,767,716,025,500,224,539,530,
357,548,986,252,014,661,660,650,525,621,387,330,847,051,579,688,193,794,157,
637,363,894,973,502,086,094,056,073,947,487,253,264,161,884,574,000,203,000,
663,524,523,172,622,628,257,202,375,169,482,003,657,924,952,120,895,168,959,
450,874,107,887,189,998,342,449,505,427,815,758,315,982,204,254,278,913,299,
215,482,696,618,538,117,435,311,742,589,585,641,986,657,992,059,823,305,215,
443,850,956,865,709,383,627,689,816,514,704,376,815,472,544,219,146,317,995,
314,019,925,084,797,781,156,916,730,923,277,082,736,481,299,837,580,931,715,
477,399,208,865,548,623,058,217,228,954,883,652,206,079,416,428,799,203,521,
274,747,759,271,863,529,121,524,236,912,599,076,685,531,628,081,385,947,684,
816,107,909,564,191,405,750,220,455,062,216,922,637,920,484,340,052,534,297,
118,413,923,312,047,674,288,413,776,558,255,028,311,033,522,409,624,941,690,
421,567,363,073,157,532,604,745,070,624,481,450,730,702,969,505,163,528,903,
610,011,533,147,939,729,904,535,649,777,010,041,860,992,327,847,699,796,230,
491,311,077,341,859,992,708,120,252,315,080,306,783,972,374,155,039,222,355,
546,420,063,302,830,160,885,130,371,865,913,141,859,971,840,516,688,426,967,
072,699,525,665,070,804,286,364,270,955,657,094,214,239,960,421,075,723,006,
053,033,025,267,795,387,579,656,206,598,401,918,615,718,836,764,106,144,869,
232,802,229,477,354,311,273,650,582,432,087,604,103,178,526,866,296,892,960,
608,042,610,747,575,108,421,157,951,668,993,119,823,903,859,526,454,943,304,
870,984,970,452,358,820,280,008,217,732,419,497,868,992,032,366,637,848,538,
084,284,853,009,686,852,236,175,570,046,756,932,229,845,461,969,377,012,792,
170,930,079,154,529,101,127,132,855,743,516,065,276,156,573,740,381,504,647,
181,422,771,986,240,364,754,768,678,797,683,853,054,630,352,520,480,658,101,
295,783,589,736,761,555,491,186,456,106,333,206,306,018,600,324,446,259,926,
106,078,723,356,463,436,481,319,512,305,182,239,027,055,958,087,007,684,998,
367,077,367,312,388,690,290,512,438,203,358,756,847,600,567,052,789,338,453,
646,762,823,137,213,662,970,001,683,707,466,297,929,077,400,665,329,350,647,
949,460,861,996,111,203,711,103,461,427,954,561,712,698,539,597,993,816,402,
546,022,761,039,538,692,453,138,993,931,346,321,590,894,848,474,991,554,660,
815,540,297,727,138,268,577,748,940,682,598,312,724,007,898,136,790,277,401,
197,443,746,807,413,787,883,143,071,789,568,460,286,398,769,233,959,882,455,
385,513,026,142,924,407,369,289,041,219,775,068,369,119,657,714,626,893,184,
462,871,072,339,030,406,577,431,184,175,702,311,876,535,763,165,642,746,252,
433,103,100,343,168,410,776,883,179,674,143,191,290,306,758,311,572,286,505,
622,828,443,577,505,785,836,916,637,804,414,522,031,092,512,168,769,605,276,
502,814,041,830,174,627,857,589,470,505,329,073,198,497,276,225,716,322,530,
155,686,119,095,458,698,088,425,712,302,743,170,110,627,187,773,994,705,881,
032,491,018,025,312,967,903,623,562,820,026,490,955,034,896,178,454,969,598,
427,575,189,762,669,778,953,078,766,102,602,515,409,781,865,380,665,800,297,
389,663,362,934,711,901,582,702,478,240,272,106,513,223,771,298,903,367,388,
702,047,328,219,261,383,942,661,243,580,982,253,776,146,420,452,205,260,349,
732,217,015,434,021,394,669,169,517,100,910,547,574,501,579,444,759,937,914,
514,675,408,718,921,083,209,457,794,063,246,453,688,248,084,649,396,794,109,
750,383,706,241,742,721,117,031,570,173,515,736,462,708,384,031,981,877,177,
529,046,883,859,708,209,350,595,220,281,136,725,895,048,101,285,109,315,104,
502,262,319,132,125,410,500,455,966,570,457,339,065,301,295,576,874,965,784,
837,109,666,685,614,295,721,443,596,911,975,998,616,733,850,537,099,742,486,
373,289,664,418,463,249,684,272,734,129,601,652,952,726,212,117,279,605,732,
668,386,646,256,002,186,808,487,107,913,892,279,537,156,328,171,539,084,385,
318,614,749,213,912,346,252,848,406,473,843,056,613,265,043,745,834,701,803,
355,446,879,565,035,398,482,089,040,939,493,160,250,554,662,591,888,265,028,
453,307,034,359,929,914,219,677,059,307,045,352,079,578,649,473,208,403,380,
089,606,590,862,553,016,977,890,251,912,430,914,707,210,418,137,666,693,942,
846,303,620,005,416,934,441,753,977,355,096,087,272,566,127,401,219,428,039,
176,846,967,076,363,496,636,942,580,805,778,160,722,519,883,442,437,660,499,
840,810,790,170,160,279,722,799,590,381,733,151,484,267,868,311,898,798,223,
392,407,077,019,863,704,895,294,729,925,297,969,843,824,720,921,007,379,932,
908,581,619,931,674,353,890,183,031,794,759,513,929,421,168,034,625,040,278,
685,862,914,004,891,461,875,438,951,290,936,956,681,069,744,190,597,528,759,
144,356,659,080,686,782,396,061,637,210,544,775,191,717,692,403,626,191,996,
994,820,721,452,582,913,998,721,639,779,355,402,898,874,394,534,098,679,162,
852,133,139,435,039,976,535,872,533,398,221,537,074,946,571,413,362,790,594,
436,687,133,360,717,123,656,745,028,126,286,713,873,873,999,592,924,357,112,
007,089,746,047,261,479,320,548,094,222,886,952,827,190,509,470,670,081,791,
107,833,861,490,473,135,736,626,251,930,240,841,730,175,499,073,304,980,026,
955,673,834,036,630,704,420,146,003,867,205,684,152,146,801,530,971,580,978,
141,998,979,007,034,901,442,075,408,215,035,499,468,021,717,027,649,946,099,
674,066,822,185,279,829,859,219,734,563,739,401,313,507,230,290,582,670,495,
875,341,277,670,157,598,424,192,652,530,116,370,488,842,450,695,785,793,994,
594,032,038,206,012,926,915,156,502,736,386,103,634,064,677,955,221,304,823,
967,069,173,920,424,700,403,647,598,199,152,307,646,350,101,391,720,806,274,
376,923,899,674,854,170,250,867,081,612,421,872,250,881,022,566,629,028,839,
892,808,416,877,733,956,683,495,373,646,150,461,099,956,333,076,481,152,492,
157,079,227,366,936,944,510,356,715,559,037,049,606,229,175,119,695,485,174,
328,159,109,913,511,923,499,001,868,908,186,971,268,209,644,155,374,565,540,
057,711,625,544,034,925,934,686,098,969,359,536,153,822,208,373,597,125,818,
389,595,712,412,280,176,423,611,238,436,090,596,104,376,120,832,944,410,988,
987,776,890,248,540,464,645,505,545,304,151,124,138,123,193,686,246,898,592,
380,152,926,438,556,547,404,682,057,817,929,432,979,433,592,895,412,026,347,
782,535,656,674,302,884,152,800,167,494,629,019,632,967,835,405,942,946,799,
537,987,077,225,269,227,271,939,987,711,415,443,746,086,899,373,089,193,515,
265,656,025,472,035,199,355,400,775,046,308,851,065,643,665,890,529,779,701,
541,374,218,481,077,000,077,296,639,805,913,456,871,610,613,742,605,543,909,
307,849,558,061,081,800,762,043,475,684,294,976,085,164,392,397,192,759,343,
342,526,283,976,958,998,660,468,131,204,140,736,902,350,358,089,182,286,559,
495,450,692,688,813,370,939,837,930,435,204,959,283,648,893,688,649,021,223,
849,946,427,688,313,483,238,545,407,518,927,774,123,588,641,774,706,300,853,
695,091,996,477,954,382,799,966,049,885,698,289,733,798,413,464,006,927,419,
636,465,074,745,845,211,167,283,745,423,426,364,084,599,548,875,162,794,229,
765,398,731,918,255,808,115,688,702,912,441,198,169,588,540,484,525,688,708,
311,738,195,340,596,242,014,265,024,995,909,085,113,910,901,905,521,616,531,
676,241,731,392,855,519,972,036,129,830,638,900,328,838,784,831,614,843,674,
189,085,951,526,939,321,438,207,362,895,509,259,096,600,236,123,778,595,212,
281,493,879,007,235,409,483,883,695,326,401,160,857,074,557,560,650,396,086,
884,893,926,242,490,839,037,025,374,426,220,422,005,099,804,793,947,973,764,
348,984,381,183,415,727,998,340,453,950,602,502,843,862,503,986,982,362,044,
812,103,517,326,113,349,089,224,093,750,969,737,852,400,703,451,179,504,803,
077,644,111,471,309,518,643,821,931,676,409,189,595,655,536,257,563,871,484,
759,813,204,986,570,083,526,892,431,694,094,889,509,749,430,986,800,585,954,
780,596,042,703,596,593,552,485,795,925,499,370,338,368,072,330,184,872,167,
788,781,123,110,325,856,646,215,768,804,661,888,915,809,002,942,085,997,757,
162,880,204,761,245,920,898,645,804,239,065,765,624,205,352,928,860,973,932,
311,479,731,268,793,584,984,021,061,241,379,553,844,529,266,691,419,494,119,
141,511,084,339,701,165,257,825,101,831,490,201,471,003,794,573,623,036,502,
951,270,356,962,339,165,103,309,893,317,842,436,320,685,172,509,712,043,179,
745,644,522,403,335,972,352,589,553,615,953,111,933,363,779,959,003,927,435,
607,227,179,728,290,880,306,047,253,784,721,387,367,847,837,678,699,589,482,
105,858,336,066,915,296,819,084,983,544,710,821,328,649,768,931,804,978,991,
048,664,263,135,496,804,207,091,568,927,159,637,098,457,660,388,516,927,262,
719,697,495,736,657,965,104,248,292,266,221,874,654,682,558,949,077,700,892,
523,977,322,447,293,161,031,473,529,672,286,387,835,947,292,129,030,334,139,
856,453,408,607,894,897,225,835,036,727,256,128,585,486,236,926,179,954,064,
649,179,006,992,558,429,562,474,066,326,858,034,083,327,704,478,524,238,316,
590,105,995,928,836,816,723,222,345,892,120,272,297,755,329,237,853,206,512,
452,709,664,725,298,078,528,016,011,226,698,737,216,403,791,275,816,560,332,
905,538,570,855,555,855,917,153,536,026,356,887,755,941,822,205,919,878,394,
580,178,459,432,138,297,331,299,722,565,423,830,185,418,994,916,183,723,254,
127,925,171,601,800,877,173,739,135,125,551,278,078,881,868,981,725,602,156,
843,581,790,565,494,988,697,664,282,539,916,824,691,986,340,832,307,532,844,
168,598,737,282,573,350,375,360,863,553,730,884,752,628,886,066,622,495,993,
339,760,890,217,299,818,003,502,582,022,649,503,524,508,977,082,188,834,121,
966,503,171,013,158,966,422,984,362,054,786,315,285,580,114,133,432,490,676,
364,897,873,710,013,993,345,155,047,425,622,586,880,439,969,836,811,325,825,
900,555,679,985,483,878,203,368,062,179,450,555,944,603,592,112,283,339,600,
750,926,333,847,896,402,525,499,168,273,257,582,859,291,656,368,223,181,224,
226,783,559,942,801,255,525,833,458,415,730,858,246,133,271,640,772,976,614,
716,658,995,734,418,067,840,721,445,671,983,869,830,724,237,296,073,436,809,
595,203,820,379,129,204,934,603,827,877,220,198,763,024,038,032,764,378,941,
663,338,981,514,777,086,838,726,188,450,264,533,002,029,160,579,081,559,832,
928,205,360,542,684,517,928,865,226,417,613,659,597,346,586,003,082,305,257,
399,544,890,650,884,877,487,682,715,772,975,817,541,644,320,399,062,819,157,
008,623,254,707,568,027,683,952,194,286,007,085,626,192,446,065,739,566,536,
070,267,471,284,627,858,091,270,143,171,744,751,206,353,261,372,953,983,064,
236,815,136,294,999,418,407,849,618,916,204,844,446,100,786,589,803,168,767,
891,296,559,752,378,952,552,184,168,777,548,788,214,336,400,698,709,638,662,
091,234,688,356,872,301,051,727,443,635,823,428,495,826,597,601,179,427,354,
709,931,431,250,170,678,420,282,658,500,839,617,204,465,702,956,682,094,761,
855,860,150,014,281,938,349,576,674,684,081,019,239,142,907,799,412,837,031,
563,351,353,242,131,063,253,429,783,332,484,394,466,868,700,569,506,765,469,
561,926,396,965,868,976,791,725,584,817,385,010,252,049,110,497,532,623,708,
215,203,531,524,535,867,721,617,019,930,104,724,449,790,597,530,939,055,487,
518,591,003,779,576,672,590,476,976,298,028,104,965,115,259,676,883,803,105,
364,390,068,139,834,836,685,548,051,471,486,339,723,270,871,867,635,478,396,
829,874,145,407,060,928,260,566,052,428,041,012,735,109,734,634,607,971,615,
696,138,736,239,340,231,079,249,296,423,490,927,836,534,584,252,781,885,718,
330,514,777,194,103,552,049,817,049,566,992,205,429,889,326,140,919,441,293,
559,036,895,069,701,816,398,713,569,881,424,612,845,720,201,758,404,476,251,
799,331,962,579,107,549,342,111,224,773,857,699,728,309,355,774,817,035,487,
727,143,322,335,636,874,507,665,745,728,710,785,484,034,543,204,291,586,299,
355,664,294,197,086,912,069,340,139,280,048,193,310,412,194,058,207,754,936,
952,785,164,366,982,044,270,581,853,810,871,968,812,391,834,808,192,437,458,
858,267,197,918,836,636,650,530,768,395,461,040,622,873,997,850,138,491,532,
899,981,782,547,218,761,039,523,938,440,840,634,462,016,844,685,824,397,408,
831,067,763,309,969,351,089,020,266,471,308,344,090,660,130,851,232,788,802,
074,100,844,227,440,907,217,124,726,865,287,592,422,087,136,735,522,137,320,
708,050,570,927,586,589,995,799,070,591,535,736,738,794,786,992,355,052,441,
408,703,878,285,512,923,099,630,104,417,932,769,650,447,244,027,394,166,940,
723,922,238,927,581,556,071,931,732,851,757,838,246,282,807,616,211,830,777,
442,526,299,794,537,234,417,998,782,746,302,665,235,066,715,232,636,311,119,
657,799,798,011,817,610,144,923,126,170,459,681,424,226,115,316,975,291,606,
875,159,544,982,341,412,573,315,543,548,183,934,471,217,292,432,783,730,435,
002,440,516,206,132,163,278,910,337,858,639,534,975,065,508,847,574,954,869,
067,213,712,925,114,682,425,289,854,959,649,378,558,579,450,888,144,012,014,
584,951,844,162,787,848,499,709,441,622,266,159,890,939,590,168,741,662,247,
891,982,476,005,740,913,226,752,560,902,428,985,307,875,689,343,657,981,592,
347,155,578,747,413,866,552,078,447,472,037,179,709,966,600,750,365,736,387,
866,209,849,330,662,956,802,883,304,349,027,755,429,162,513,319,425,455,068,
093,742,606,307,513,577,964,526,461,108,386,406,376,191,327,985,069,428,458,
215,516,259,469,841,724,523,606,314,018,348,154,888,535,416,003,320,260,490,
863,205,160,042,320,346,367,287,166,550,959,141,038,234,650,505,058,787,969,
161,031,592,027,080,357,550,491,128,798,316,495,561,410,986,581,859,313,737,
612,690,444,492,098,905,059,435,506,330,252,732,785,008,721,187,085,445,896,
545,495,185,834,486,228,501,119,914,171,207,680,261,648,654,961,881,525,973,
906,456,540,370,057,533,099,644,060,778,219,619,926,253,304,838,626,652,443,
100,909,719,292,851,890,357,906,761,055,865,545,605,056,822,271,509,500,249,
084,177,996,716,567,111,448,598,929,949,754,647,553,358,158,678,016,788,547,
496,869,835,806,054,249,634,795,776,258,503,505,417,564,799,485,239,738,774,
592,838,663,132,377,588,750,467,119,684,950,055,373,186,270,106,325,567,605,
108,989,417,850,550,960,757,920,325,633,380,930,409,952,374,800,956,874,750,
709,419,492,802,661,754,114,962,617,083,602,387,909,723,189,393,682,259,192,
081,244,436,325,392,181,896,837,800,254,378,496,972,400,952,793,638,418,882,
467,399,935,787,858,484,115,175,817,603,778,700,014,151,476,366,284,439,668,
294,738,297,169,346,636,551,814,395,181,120,611,224,785,544,677,939,571,981,
214,404,827,450,989,282,488,160,233,878,317,371,400,470,085,888,691,276,253,
449,749,278,824,136,460,824,788,325,936,157,443,642,244,720,879,957,370,028,
726,576,370,606,195,680,780,546,831,067,459,820,842,909,681,793,339,504,370,
943,276,927,779,049,619,687,995,638,156,596,889,817,296,859,410,645,177,268,
401,099,982,828,308,542,271,139,758,681,985,844,979,913,316,566,386,640,228,
635,783,163,255,490,561,463,106,987,336,585,725,976,177,198,813,465,139,635,
627,056,070,049,719,740,177,930,977,403,258,133,914,896,990,339,417,395,841,
056,278,877,188,583,685,953,686,723,099,898,745,841,590,536,998,076,559,323,
352,332,920,744,615,665,043,113,813,414,740,564,289,890,922,548,942,156,488,
572,091,267,219,761,056,432,773,453,854,032,701,123,038,445,882,340,097,669,
488,391,517,071,059,191,508,624,336,186,801,325,449,767,216,184,668,554,248,
699,629,176,659,555,124,097,975,640,187,377,905,518,575,228,425,529,476,942,
502,439,914,464,037,859,168,090,599,673,244,755,063,868,083,707,716,890,130,
024,351,089,988,444,755,089,384,273,181,890,404,090,870,082,476,740,167,499,
924,676,456,804,548,618,765,050,583,949,049,064,036,232,475,215,748,135,430,
250,875,849,953,864,618,885,911,690,348,190,392,755,352,891,702,389,921,536,
772,479,846,430,103,873,625,222,529,242,858,862,619,510,265,365,934,366,636,
100,977,167,699,362,787,627,186,673,570,311,498,085,060,783,130,148,502,394,
452,200,445,858,675,009,197,437,497,033,615,813,165,590,440,808,476,377,238,
525,484,634,569,330,174,104,730,662,256,955,963,807,653,835,919,226,546,945,
512,767,745,561,820,640,393,133,094,576,757,416,300,313,024,615,234,815,210,
628,782,319,422,013,521,622,598,743,348,861,225,457,248,313,870,282,278,202,
412,582,602,664,622,001,171,329,095,613,244,722,104,248,878,348,376,513,265,
508,987,200,121,462,693,327,007,349,042,904,956,141,371,543,702,377,242,983,
853,190,387,572,439,070,887,261,521,410,249,776,663,486,815,826,310,213,498,
630,977,720,199,642,180,135,111,250,246,149,080,822,676,004,744,689,636,770,
563,626,240,228,453,232,394,922,133,894,819,128,840,932,044,947,272,632,063,
082,719,540,944,542,632,532,075,771,775,714,264,700,758,253,040,191,065,984,
897,840,714,063,635,836,660,521,703,697,084,479,686,834,912,666,654,309,167,
395,330,739,936,785,972,931,989,979,233,061,154,396,118,168,837,440,953,772,
121,856,505,310,880,430,927,267,651,630,612,811,923,332,195,916,524,481,195,
147,541,497,050,742,102,303,952,545,422,916,366,213,773,670,275,074,289,327,
882,019,102,596,406,203,357,729,862,776,719,387,630,839,737,000,211,872,797,
749,635,202,012,103,744,461,553,411,301,213,625,145,831,186,155,977,812,275,
711,531,404,641,446,353,585,728,286,389,373,257,736,411,554,901,940,816,632,
357,650,425,482,269,626,375,478,253,592,344,171,657,399,488,773,766,271,280,
990,867,910,531,513,869,093,320,692,768,787,697,813,681,279,427,483,717,270,
158,105,840,434,037,408,492,375,892,618,777,722,076,240,408,551,026,850,704,
808,751,412,511,441,073,530,372,007,220,836,787,463,438,756,376,937,231,865,
218,992,132,862,007,049,866,507,802,784,458,540,855,423,783,033,753,652,847,
750,729,042,836,078,785,939,235,087,017,839,965,502,963,674,306,123,396,805,
152,720,947,050,164,818,405,579,118,180,598,592,309,360,354,536,030,536,221,
973,341,521,662,501,961,109,694,502,169,841,950,713,097,847,170,236,792,096,
477,157,719,388,781,581,145,579,657,308,310,716,726,590,415,378,549,064,667,
010,835,277,943,655,731,820,121,491,725,516,674,592,436,343,147,524,935,522,
037,443,549,381,120,810,015,416,399,620,519,441,238,258,495,228,780,632,502,
069,052,538,858,723,962,388,695,463,861,444,242,070,681,548,422,679,666,865,
407,254,354,400,614,160,246,267,007,446,024,078,109,182,070,466,623,474,873,
747,282,170,459,167,495,529,975,004,729,821,456,252,277,329,863,858,146,268,
262,362,955,790,630,554,352,766,753,661,332,863,315,930,019,290,783,553,988,
535,144,314,912,561,700,500,370,818,639,518,819,695,599,473,614,182,408,438,
216,508,612,417,367,171,562,994,983,283,265,531,015,878,632,905,792,684,344,
554,716,950,282,990,972,376,751,973,067,242,933,985,335,290,077,619,852,524,
473,699,613,305,022,070,246,748,696,784,846,765,369,825,790,261,508,828,572,
308,259,287,651,507,868,739,506,634,711,447,096,486,095,061,974,923,384,265,
592,984,004,690,509,517,011,445,500,139,205,407,566,708,553,242,994,579,409,
322,414,355,623,611,909,707,140,826,026,030,736,858,523,252,171,898,832,775,
031,112,617,781,326,128,430,823,994,197,195,670,118,899,607,514,855,579,242,
991,496,716,590,694,454,161,193,560,381,304,879,698,125,548,224,663,050,278,
903,010,680,120,609,080,214,529,261,074,008,071,232,590,461,694,770,419,771,
338,918,023,855,803,010,770,732,739,854,826,671,237,793,023,918,262,453,365,
526,993,344,171,746,398,762,943,637,410,570,250,944,219,264,964,696,337,163,
327,595,378,793,236,952,919,571,153,547,116,862,585,665,535,415,471,405,478,
457,031,065,846,418,961,804,022,357,898,179,822,861,605,755,471,372,142,536,
344,903,859,038,198,072,308,201,456,397,596,595,585,387,269,415,982,432,964,
925,534,517,247,348,968,474,334,746,343,190,161,138,300,346,203,707,777,122,
550,695,271,441,273,405,749,324,100,110,278,329,387,473,383,081,684,699,699,
900,332,882,023,476,068,687,840,522,413,924,747,639,718,242,037,025,303,769,
245,289,643,207,128,851,193,671,652,326,787,694,984,694,892,020,121,834,279,
849,916,385,447,481,774,789,284,071,217,911,400,547,759,142,531,839,476,654,
378,547,444,580,887,349,005,673,699,244,052,631,102,421,223,998,917,869,906,
179,908,798,168,087,539,390,757,838,625,937,848,984,818,306,315,726,964,079,
524,983,606,588,986,387,656,045,740,376,680,935,523,673,192,254,688,003,892,
617,283,522,723,637,024,544,250,985,483,288,832,659,979,236,962,592,553,954,
010,241,388,769,563,095,024,980,087,457,781,725,989,774,875,905,324,973,936,
311,813,564,905,265,169,836,471,325,853,692,641,933,146,334,787,177,995,952,
948,268,929,745,929,984,212,988,534,713,346,849,484,695,084,322,322,758,820,
446,579,126,154,318,179,505,713,521,605,147,422,133,454,871,052,326,041,981,
734,717,376,226,771,283,848,052,628,651,353,391,546,206,747,591,024,787,247,
443,085,305,037,996,539,779,778,036,885,146,355,222,885,875,590,369,413,906,
413,938,190,609,622,909,349,235,521,006,861,628,486,314,239,919,081,522,564,
868,171,424,168,256,605,036,747,440,159,478,850,615,050,486,835,424,574,087,
570,667,500,286,481,543,651,128,510,690,774,288,687,408,548,962,992,008,009,
869,093,784,653,870,259,435,588,117,580,607,129,977,633,201,844,920,218,251,
280,924,778,314,538,743,354,650,463,389,366,295,445,583,197,569,502,143,103,
549,050,529,600,298,178,750,947,184,762,602,064,113,016,237,577,692,310,435,
881,845,989,529,008,140,081,242,164,992,528,774,113,458,141,270,432,635,964,
240,997,482,623,818,836,047,299,493,036,321,325,571,631,229,683,533,215,172,
265,978,102,743,595,467,106,122,510,276,177,389,907,780,352,452,218,462,789,
188,418,325,692,221,282,128,605,721,762,413,691,834,394,656,219,390,414,402,
514,841,587,600,808,773,296,698,842,271,056,505,079,889,591,185,490,214,572,
447,353,824,776,102,002,279,140,844,530,927,403,962,090,659,434,250,989,126,
698,819,579,716,230,030,554,739,259,201,089,159,250,688,339,937,183,581,935,
145,244,986,543,327,018,655,814,081,271,444,227,599,568,347,080,659,327,622,
169,935,867,495,324,277,347,595,514,689,980,667,359,112,868,285,898,534,309,
246,731,845,411,604,474,540,791,162,951,236,498,213,255,216,830,847,575,122,
895,508,372,868,189,771,868,555,227,546,737,077,429,574,216,718,439,541,494,
344,150,005,949,005,018,445,109,350,660,545,897,844,470,698,461,768,734,359,
981,042,506,756,175,485,223,649,219,788,688,115,114,590,215,486,233,204,748,
947,678,524,272,422,028,332,275,970,347,943,697,117,757,044,906,905,994,976,
398,469,003,793,285,991,255,376,350,824,262,291,609,998,569,993,162,439,605,
468,973,030,905,677,653,988,381,210,494,053,032,585,345,990,562,579,620,432,
459,884,827,127,699,811,322,890,108,257,703,196,900,195,710,352,138,004,948,
070,506,735,501,420,096,784,280,381,314,024,304,115,926,404,171,410,148,308,
541,037,705,208,608,517,622,621,899,299,209,957,038,909,130,334,937,573,243,
710,657,036,369,650,889,172,951,755,515,114,856,770,349,292,004,160,899,726,
007,815,268,257,016,778,176,455,041,815,727,929,331,098,910,394,150,525,181,
611,275,514,958,838,421,757,481,188,781,453,592,391,686,747,586,324,711,430,
895,324,134,416,316,574,585,429,904,713,467,594,799,587,125,880,663,244,010,
658,931,450,314,630,379,683,372,574,089,225,217,521,508,589,239,134,168,443,
530,656,344,125,211,600,815,265,588,041,732,745,331,317,513,236,837,898,202,
901,867,598,337,515,808,628,671,394,895,481,528,140,661,292,000,892,988,288,
874,610,565,508,390,596,968,148,268,803,648,926,715,487,729,427,316,394,850,
009,159,209,515,253,743,224,186,908,661,329,444,247,098,506,051,986,608,675,
863,812,836,339,247,026,531,394,339,882,442,077,969,431,920,108,134,202,349,
482,679,093,005,048,578,902,049,212,291,578,617,008,619,392,947,163,441,251,
117,616,974,937,644,903,221,199,816,002,596,853,298,582,498,424,468,206,035,
090,373,268,096,023,389,230,419,700,215,715,518,214,423,079,099,088,844,155,
472,682,069,123,268,641,050,841,450,329,280,898,383,829,404,910,465,488,932,
602,034,273,549,090,560,181,890,032,376,476,688,460,204,239,667,286,282,501,
386,010,727,170,213,903,214,170,011,503,129,626,691,502,676,563,522,037,032,
606,297,639,151,481,780,400,569,590,005,874,009,218,339,277,535,714,052,424,
874,553,663,650,508,099,672,215,130,791,834,309,191,042,890,117,554,017,389,
249,842,271,912,315,484,451,502,676,245,283,480,735,773,473,287,930,648,882,
521,105,520,262,009,584,613,912,520,052,914,949,127,210,080,288,339,927,577,
522,851,228,685,615,779,919,188,946,796,180,527,970,425,618,026,512,626,538,
413,196,387,642,160,034,457,626,038,261,335,736,771,399,669,029,015,464,623,
076,499,667,097,404,592,552,682,704,949,752,272,619,858,146,760,653,719,442,
748,991,878,287,354,783,194,766,958,463,514,294,553,360,725,750,070,736,432,
187,439,333,618,170,115,082,145,510,628,034,142,557,269,586,505,121,739,126,
020,836,175,396,197,130,349,976,062,184,684,845,441,573,812,674,065,638,746,
170,382,111,003,315,844,964,872,927,980,349,767,227,312,358,778,998,149,974,
636,721,136,847,880,217,176,136,301,614,595,373,531,026,041,451,488,832,946,
181,752,309,866,594,884,393,271,153,933,542,181,349,696,579,808,048,714,007,
912,285,866,280,660,631,053,039,422,217,298,575,507,592,640,159,622,884,890,
817,946,431,683,770,601,576,757,955,600,725,801,015,416,699,910,651,754,923,
804,086,313,095,736,123,258,042,678,405,286,993,283,179,846,695,338,258,607,
071,500,434,493,706,880,028,988,866,640,143,141,695,796,200,554,447,096,122,
165,053,545,674,375,471,909,968,072,785,552,204,905,306,539,861,046,116,000,
361,886,114,697,487,313,403,108,125,533,221,571,138,826,961,349,474,464,399,
701,002,139,420,140,706,694,677,199,963,288,972,608,635,640,605,673,248,732,
035,094,347,487,347,267,212,494,787,191,276,567,793,801,297,592,349,441,334,
014,374,616,169,025,331,129,500,706,855,731,289,935,351,846,001,207,713,912,
752,031,242,880,190,094,849,773,528,973,782,711,186,879,550,763,351,378,475,
204,994,091,064,764,128,694,871,909,782,533,961,670,162,972,254,983,248,208,
752,517,870,626,123,994,666,991,414,505,303,401,984,314,428,003,098,914,804,
290,821,465,074,242,909,965,662,279,678,234,554,915,945,596,752,251,397,823,
185,918,191,426,219,394,696,148,200,344,343,658,210,331,140,271,633,492,158,
404,743,403,019,594,431,365,156,811,171,934,308,191,139,790,669,825,717,764,
775,101,084,962,188,037,305,713,639,689,622,741,941,204,331,717,586,066,999,
971,340,661,184,121,156,697,027,256,608,045,688,545,519,951,400,624,657,966,
499,964,499,634,340,913,941,276,264,396,886,668,786,193,583,333,970,497,002,
257,584,028,256,889,785,713,977,422,996,007,259,092,544,569,689,733,578,847,
618,461,503,514,749,320,889,047,499,853,845,616,408,911,437,923,133,292,885,
235,232,348,884,547,694,508,876,998,780,513,858,747,885,678,276,906,201,465,
553,640,931,724,645,165,566,774,966,649,542,693,891,187,154,814,669,229,291,
104,004,844,204,548,754,324,616,436,166,865,371,592,300,726,139,476,936,827,
933,593,251,167,441,963,230,733,397,391,995,447,095,147,762,154,207,840,484,
419,328,254,036,291,799,953,039,722,225,999,277,186,753,933,326,456,890,095,
153,422,524,166,171,774,455,908,389,423,792,347,410,254,847,286,765,132,945,
618,710,105,242,802,738,581,793,717,402,788,867,422,653,391,365,110,707,060,
179,420,516,084,934,810,161,895,408,125,656,719,532,050,107,690,707,075,412,
370,284,596,600,909,543,210,379,834,786,990,649,205,009,196,300,608,211,692,
021,111,286,447,544,419,857,188,430,922,119,712,580,376,819,954,767,805,232,
750,091,903,625,295,030,596,854,701,203,325,120,920,330,690,028,493,224,553,
724,811,592,701,398,075,864,890,141,081,338,572,640,720,804,380,346,740,653,
507,410,640,182,618,218,031,510,361,815,859,964,700,919,767,040,318,326,998,
564,129,755,577,538,559,909,295,260,252,161,287,534,888,590,964,465,877,293,
186,032,711,100,186,853,871,641,730,737,743,328,933,694,823,334,131,775,508,
975,310,147,342,672,071,483,774,653,426,304,881,152,913,787,749,813,893,423,
497,288,185,120,616,924,017,296,022,965,448,681,901,584,682,243,274,228,341,
940,972,412,442,043,222,766,724,402,231,386,645,015,647,665,654,709,062,699,
189,993,225,077,842,492,448,853,958,339,671,575,417,697,751,526,202,058,405,
883,620,944,537,463,169,640,886,492,308,912,840,162,986,908,487,022,115,298,
968,242,691,808,314,398,576,205,030,689,590,262,515,320,888,417,404,766,613,
391,087,620,493,731,705,567,329,563,082,588,281,500,978,800,119,828,417,999,
609,583,465,899,199,699,995,696,178,631,806,669,736,721,646,779,771,279,091,
065,244,962,224,896,851,494,001,136,556,601,675,233,202,346,137,650,427,279,
406,584,975,628,918,882,687,540,825,661,123,442,029,192,392,175,111,316,546,
470,399,826,135,362,579,493,400,415,391,696,890,209,661,947,808,704,460,532,
678,168,335,845,005,488,715,970,221,870,753,085,939,834,543,563,260,930,205,
119,422,602,670,628,076,717,275,888,079,450,858,614,353,412,676,092,140,177,
436,186,465,122,112,233,729,639,171,797,410,984,085,953,370,052,188,808,088,
381,798,640,389,222,509,167,484,770,750,845,985,113,320,180,740,771,273,612,
663,331,240,994,905,086,667,054,656,533,126,397,841,662,358,586,845,621,764,
595,085,820,405,017,061,705,187,697,542,717,606,133,978,772,325,557,356,256,
240,966,521,293,785,853,055,399,587,831,424,962,641,081,828,967,420,820,857,
937,498,417,559,275,657,498,231,650,414,558,018,804,901,380,823,275,569,772,
811,799,242,401,644,180,161,682,245,456,376,316,929,838,298,441,537,987,910,
825,677,649,357,127,901,065,535,591,722,462,194,027,636,131,084,452,464,090,
817,781,114,148,636,416,397,508,532,744,990,772,334,092,650,241,100,902,238,
647,268,587,398,950,471,064,051,295,999,776,746,675,468,350,987,195,063,343,
229,326,123,220,108,288,088,248,645,432,450,845,975,191,071,459,393,494,540,
026,889,293,496,365,425,593,053,238,709,260,357,559,266,986,702,308,706,815,
353,119,461,076,565,224,379,138,702,299,929,074,553,010,523,252,682,019,062,
370,528,864,897,762,404,204,510,231,879,376,578,057,441,398,991,156,525,840,
644,568,650,052,723,573,975,022,368,311,814,083,786,338,153,351,515,968,983,
464,167,277,751,986,061,072,947,496,541,659,010,240,480,064,005,264,975,177,
185,444,982,940,285,220,044,638,011,894,357,812,121,444,405,624,292,428,436,
022,364,006,852,427,706,410,526,577,339,862,714,366,112,795,373,624,277,524,
974,190,909,708,880,066,697,524,796,897,622,417,107,923,200,626,409,417,733,
134,073,355,546,859,336,132,555,142,846,920,754,744,915,051,408,996,193,617,
444,475,520,913,311,802,732,619,038,131,678,637,484,288,699,474,890,534,665,
832,382,501,037,231,261,581,293,847,728,198,636,999,105,098,972,722,896,012,
893,970,492,945,926,685,081,214,823,271,773,398,767,517,234,333,478,445,755,
216,099,654,241,755,328,996,818,605,528,567,535,693,057,289,413,198,863,687,
759,201,239,631,568,114,321,126,471,684,060,113,833,967,578,360,583,352,335,
575,515,207,492,582,151,092,903,934,648,210,059,896,878,281,546,690,398,356,
646,743,370,782,588,359,818,177,525,396,241,496,990,715,926,496,563,685,226,
204,869,124,111,878,989,430,318,067,657,112,773,042,687,449,553,594,607,718,
620,957,067,119,935,693,492,735,744,603,144,313,456,196,008,240,071,416,037,
094,705,155,802,136,094,611,963,368,386,369,697,753,219,847,595,432,814,310,
128,491,408,858,137,550,387,573,817,269,230,287,518,053,962,264,935,798,438,
027,770,521,093,515,306,566,396,614,526,900,936,248,864,116,268,902,831,757,
181,306,153,324,840,411,472,606,588,252,953,151,716,628,810,418,215,900,474,
961,033,555,587,964,357,573,767,244,234,281,473,891,618,811,402,999,202,355,
160,822,970,694,728,083,469,402,326,458,314,779,127,614,707,744,651,275,161,
739,817,669,337,517,252,867,963,746,975,018,109,134,577,635,958,588,232,011,
999,880,880,625,031,246,972,965,353,687,668,275,972,225,863,703,140,721,646,
408,553,712,323,316,564,248,958,659,147,390,729,237,738,943,742,374,975,022,
147,040,129,973,065,809,330,686,044,124,386,509,213,799,408,867,873,767,885,
905,651,058,803,502,038,913,519,686,309,003,345,502,589,205,522,819,851,532,
366,587,785,935,242,380,888,574,627,519,261,372,674,445,359,021,081,131,809,
214,638,308,279,041,167,149,943,605,452,810,354,280,528,289,351,655,541,537,
538,108,483,433,945,730,649,379,112,689,615,962,126,772,255,017,597,148,023,
887,985,994,237,485,647,856,378,219,164,530,798,017,476,600,171,210,648,379,
930,811,963,726,099,786,276,118,879,087,933,725,235,825,902,471,983,860,529,
549,687,086,664,647,620,477,846,936,727,172,282,257,936,802,211,953,275,746,
043,866,479,509,407,215,621,597,027,260,765,293,075,330,166,254,792,257,957,
176,012,260,825,034,177,077,609,672,055,929,745,383,721,140,542,479,212,446,
913,851,496,149,670,024,245,516,199,475,134,801,280,284,743,564,176,544,114,
573,641,738,048,540,291,225,682,919,500,278,333,107,374,872,079,109,121,828,
422,077,130,401,276,632,685,105,955,854,678,023,809,818,925,439,355,207,097,
212,451,390,579,901,976,423,954,334,859,493,956,252,021,691,331,647,720,300,
159,832,305,731,612,632,276,475,836,641,275,126,335,247,243,355,422,355,777,
076,695,275,100,598,772,491,914,619,820,610,351,996,841,686,394,788,275,085,
812,345,387,903,536,941,323,105,983,194,651,390,334,210,863,749,433,231,835,
707,977,298,728,610,423,866,380,492,442,583,286,304,695,571,233,527,840,775,
760,070,212,311,454,731,655,014,088,735,167,165,980,421,628,571,702,791,295,
554,813,298,751,325,240,936,781,591,386,253,985,955,697,238,417,516,567,499,
894,395,199,524,258,460,173,282,391,900,228,293,430,416,188,770,241,978,169,
664,074,733,732,103,751,840,645,186,536,756,415,072,064,225,866,624,120,444,
039,822,416,460,668,509,860,667,046,896,858,860,297,354,963,175,488,642,926,
167,096,980,951,355,842,863,271,968,728,721,151,845,061,930,002,759,114,092,
897,822,472,133,168,749,820,756,374,713,174,790,274,194,360,415,193,890,186,
684,796,600,534,851,045,113,103,194,039,578,388,060,787,298,323,098,037,544,
652,698,754,347,313,984,937,683,522,565,228,876,257,061,487,787,752,851,997,
275,405,078,458,685,090,134,347,718,465,288,336,623,305,988,424,801,346,056,
853,145,906,596,158,526,515,876,821,370,785,604,715,070,184,010,563,210,285,
046,921,764,490,284,438,193,369,789,122,717,348,858,781,664,753,540,162,208,
377,026,639,077,247,212,848,045,670,166,757,189,286,252,181,379,762,433,997,
671,553,430,049,548,031,762,527,513,839,289,068,651,607,199,120,144,383,912,
063,629,139,058,769,185,481,842,721,578,286,810,494,508,088,049,597,876,982,
946,052,430,695,209,221,512,383,063,611,066,535,157,154,857,312,317,465,992,
934,061,495,382,949,870,867,346,753,911,798,763,270,538,758,622,353,163,941,
100,311,833,306,448,828,024,246,126,487,640,356,869,372,120,493,698,898,978,
158,548,570,693,872,957,030,949,585,923,835,508,861,017,282,546,299,517,514,
946,747,896,619,360,487,569,807,709,518,261,962,565,732,882,773,493,331,233,
247,376,564,138,341,322,988,203,914,397,674,969,200,895,142,233,225,079,698,
847,633,562,445,032,698,169,683,103,332,137,439,097,894,939,289,875,138,960,
478,527,461,570,162,547,226,351,691,853,202,185,857,028,642,146,761,784,247,
642,996,201,270,203,192,536,107,443,484,638,381,056,430,856,004,992,741,252,
763,031,051,238,437,977,266,536,091,179,002,559,041,702,221,363,998,972,750,
091,606,553,173,538,116,987,663,123,055,590,424,329,582,938,533,151,416,832,
284,540,953,505,073,211,733,298,366,527,045,937,314,443,239,066,676,941,843,
186,991,437,079,747,864,933,410,704,367,707,731,444,053,601,164,155,052,072,
811,068,930,147,203,135,055,022,769,838,402,339,744,182,380,020,003,580,028,
820,616,657,580,333,695,704,966,509,854,244,726,335,380,282,201,623,092,674,
358,416,579,993,063,607,647,677,357,873,319,711,144,182,397,360,851,976,459,
594,428,386,848,390,945,817,132,500,048,054,333,208,858,379,508,819,947,295,
845,062,568,837,648,458,717,167,941,034,249,756,973,656,455,489,879,856,151,
419,192,129,863,339,047,961,870,261,778,706,831,093,641,787,931,341,563,440,
461,577,000,594,534,899,044,007,484,128,134,846,416,671,679,584,430,931,290,
402,537,699,710,673,253,899,327,254,921,170,924,835,403,095,695,119,419,762,
626,886,766,840,664,026,218,468,645,073,732,373,287,778,942,847,259,132,131,
200,892,313,551,974,456,579,499,295,163,857,621,734,894,549,042,697,679,399,
343,952,037,304,629,439,998,949,747,992,641,257,129,821,450,337,701,963,603,
163,984,506,753,486,138,428,188,668,718,797,682,058,146,411,393,094,878,784,
282,428,194,228,896,543,630,548,432,803,725,226,019,998,137,809,331,161,123,
555,305,625,458,287,992,313,496,521,018,651,829,333,718,074,268,639,391,566,
807,376,193,997,397,475,388,654,906,413,756,031,119,587,971,601,702,117,048,
384,498,838,515,479,367,964,769,253,820,482,356,629,152,052,343,105,820,247,
796,916,167,979,078,314,934,628,346,752,533,627,099,188,393,009,203,148,636,
432,014,746,311,389,813,146,398,165,991,506,287,586,615,000,941,690,617,753,
701,258,537,022,889,470,695,514,879,771,930,426,949,678,948,466,421,558,283,
949,824,235,603,969,889,702,252,106,994,428,237,266,745,267,673,574,775,231,
955,000,215,809,961,642,251,536,276,400,654,476,325,101,554,238,415,195,144,
719,661,993,935,091,069,425,487,454,752,159,505,255,013,977,380,606,118,191,
101,119,064,264,409,676,186,490,214,661,341,223,498,955,471,539,139,311,554,
819,156,141,173,206,357,304,659,216,230,238,774,700,999,408,314,395,752,151,
901,372,854,451,215,052,134,663,553,622,383,957,481,902,515,919,727,573,994,
654,472,595,643,167,108,152,494,652,094,307,195,956,599,559,384,132,444,001,
084,156,464,156,063,274,943,599,626,155,455,486,271,454,204,212,227,730,206,
145,560,998,898,046,020,297,923,738,247,651,228,426,721,981,091,748,189,733,
731,030,065,053,997,672,171,826,181,399,765,288,249,818,161,059,092,931,819,
697,145,600,643,356,767,207,245,034,969,294,157,448,692,131,930,151,719,448,
472,180,104,807,036,650,003,554,193,471,915,650,981,416,398,272,722,677,498,
428,412,189,254,643,825,300,037,692,171,059,999,466,610,743,903,570,955,888,
616,986,865,875,823,711,656,254,417,742,293,941,781,314,663,421,591,249,636,
212,111,761,289,136,763,752,182,791,761,470,422,296,469,449,402,994,083,932,
804,921,313,419,616,465,974,283,350,055,115,597,833,406,900,691,558,233,481,
884,683,852,349,647,810,747,208,438,159,042,615,675,147,952,668,989,088,463,
914,663,086,312,044,766,358,416,531,803,458,624,711,877,424,680,913,863,321,
391,037,285,443,335,364,168,514,825,571,893,031,868,081,137,827,956,371,266,
638,078,795,224,576,167,246,098,816,627,166,719,593,714,872,236,328,731,699,
579,160,115,577,715,220,207,465,881,374,768,581,994,268,339,707,085,795,546,
259,199,016,919,894,365,792,429,384,838,271,668,606,309,066,221,978,119,670,
104,306,037,562,731,672,114,162,574,931,462,013,552,823,045,933,286,959,689,
823,314,032,106,264,034,151,470,851,756,265,206,292,105,015,471,114,045,252,
218,849,423,017,593,225,817,778,475,890,174,212,696,767,439,346,628,211,023,
897,646,681,128,064,186,625,809,723,005,928,577,664,510,897,594,944,391,824,
151,748,735,537,114,510,680,140,324,254,939,536,023,609,093,429,917,674,297,
563,019,694,498,929,184,070,830,915,464,293,874,480,104,598,985,037,310,714,
144,575,445,109,354,960,360,663,044,477,723,516,648,287,658,859,373,806,797,
185,595,190,748,482,196,455,721,406,662,974,395,139,422,022,692,839,160,405,
235,769,144,708,721,141,668,716,472,296,660,518,395,708,806,778,052,881,942,
590,130,867,343,543,574,798,276,458,447,097,839,772,185,714,483,772,972,265,
394,185,326,422,745,128,897,359,764,746,805,752,005,634,322,585,465,990,475,
619,172,044,377,509,134,822,758,810,205,811,336,962,897,547,475,891,282,740,
077,061,519,015,909,598,510,231,208,017,953,733,418,487,154,822,794,754,389,
285,106,502,953,599,297,451,861,243,904,727,811,107,347,357,766,821,295,205,
535,987,162,873,251,684,028,558,391,443,160,020,773,340,438,898,440,734,964,
675,183,431,648,358,686,669,763,090,745,830,213,001,664,180,143,051,570,718,
444,322,567,928,329,981,681,861,807,016,351,888,777,784,547,334,471,668,447,
181,683,421,119,755,118,469,319,325,834,756,999,033,484,900,200,421,513,873,
324,131,176,686,156,812,207,764,099,800,105,035,410,190,276,997,158,649,433,
940,392,669,216,742,625,314,329,669,856,400,926,781,855,378,874,633,393,059,
006,068,628,033,965,014,399,290,841,292,751,681,435,851,771,104,391,379,022,
413,870,318,434,410,661,233,266,155,856,309,823,515,414,984,584,361,846,561,
220,996,256,559,395,028,697,596,642,738,930,448,742,943,578,249,664,794,990,
377,841,319,470,985,240,051,595,842,133,949,793,776,578,006,077,455,000,318,
622,006,873,378,314,885,497,964,303,347,809,962,367,356,395,519,677,108,996,
753,995,904,761,221,849,906,523,521,622,236,160,619,497,618,603,951,623,494,
326,427,337,035,141,107,179,137,678,966,485,122,258,806,342,096,675,174,458,
107,746,761,871,452,190,353,613,610,949,456,184,280,497,867,721,996,043,829,
295,227,490,829,432,060,252,347,979,704,001,851,540,911,366,607,406,820,119,
124,324,114,747,711,455,607,185,487,295,224,142,649,986,533,048,659,232,027,
877,332,729,574,901,615,395,974,003,750,238,028,138,262,254,948,704,937,901,
488,585,735,244,239,613,686,675,913,700,690,981,033,454,345,050,841,321,258,
257,572,644,237,557,019,274,949,189,172,183,043,146,502,322,321,377,273,603,
148,303,390,806,371,543,496,073,590,629,291,103,307,225,227,066,592,398,901,
729,023,752,347,911,243,490,456,951,869,901,336,481,267,349,017,539,648,319,
487,291,692,356,572,332,797,016,576,722,099,284,920,565,695,571,785,392,723,
734,195,493,492,271,968,115,593,590,121,719,803,999,329,961,147,485,243,665,
909,826,494,204,384,390,472,154,066,629,267,062,771,890,937,520,805,473,873,
426,078,851,441,943,164,156,277,351,532,104,305,468,454,199,036,600,924,778,
200,602,156,881,874,103,647,183,054,826,840,593,807,309,947,886,147,656,303,
443,194,912,236,463,921,983,911,570,316,239,479,247,385,637,384,596,975,584,
596,282,060,233,674,668,002,973,503,698,143,809,764,066,192,707,330,447,365,
897,987,545,262,997,781,231,203,388,939,575,033,483,800,714,069,197,760,743,
401,449,323,098,120,879,117,048,898,701,338,746,108,050,796,864,139,782,418,
746,361,178,444,847,246,410,810,539,028,916,909,480,786,558,268,923,840,203,
028,032,194,785,030,746,682,325,710,000,402,246,935,722,066,018,475,692,927,
230,042,292,337,601,041,227,820,476,631,524,024,974,422,985,369,595,874,631,
626,889,449,890,783,048,116,635,103,922,907,116,213,580,021,720,325,712,190,
175,943,504,780,444,002,794,322,514,724,755,577,961,763,052,660,339,741,710,
219,173,737,945,361,571,944,972,853,774,650,452,115,235,071,020,640,415,020,
988,539,979,228,246,553,186,379,186,610,194,456,828,792,465,012,733,849,839,
869,416,070,989,118,884,828,337,798,066,605,576,932,620,505,672,828,762,673,
745,111,218,997,213,565,832,180,048,362,755,218,133,316,084,423,338,746,341,
631,840,153,381,521,962,788,637,953,718,415,900,316,057,616,409,413,052,870,
014,105,182,050,856,802,171,924,894,188,824,447,523,682,571,614,998,346,523,
566,893,941,637,461,716,544,081,086,935,155,635,440,286,534,637,873,769,507,
952,942,493,796,678,674,677,121,099,653,784,047,322,222,028,163,844,419,672,
647,472,752,939,714,809,186,269,284,603,418,058,489,640,112,573,430,734,894,
557,312,086,041,419,167,408,929,821,654,392,177,856,343,197,226,794,425,836,
320,273,324,009,166,300,153,745,434,959,129,900,693,557,298,187,740,735,526,
071,872,618,376,176,861,386,491,670,781,067,480,144,306,879,067,832,465,452,
069,186,587,151,009,048,072,859,509,048,242,390,935,076,714,295,287,335,713,
888,171,043,750,242,258,580,943,642,317,022,185,591,725,884,621,575,140,521,
333,883,241,528,294,181,348,476,678,744,117,864,164,463,551,479,973,697,505,
683,848,164,654,523,672,860,317,306,362,730,850,470,963,011,983,840,999,418,
308,764,783,028,879,615,818,492,433,160,496,997,029,384,943,779,964,650,565,
333,544,541,236,160,178,292,012,994,965,749,076,143,301,663,111,375,988,014,
753,156,594,513,096,183,568,268,778,206,777,826,984,792,569,504,441,944,451,
735,002,567,257,644,028,647,895,245,348,118,946,410,319,142,678,080,129,335,
608,567,605,079,751,664,830,418,279,350,902,819,520,950,543,460,169,232,195,
553,186,793,757,574,682,276,415,578,422,015,078,102,137,562,593,718,254,944,
223,229,634,946,121,987,353,667,279,888,096,303,739,203,559,011,346,134,712,
096,082,958,819,729,092,999,239,351,659,235,126,295,996,749,357,283,302,419,
792,626,649,458,866,236,938,447,400,197,419,223,940,644,749,822,311,939,395,
051,722,706,382,059,753,951,597,204,271,801,154,773,872,681,086,795,408,249,
191,968,336,578,661,910,731,843,680,808,018,586,339,793,945,886,140,299,898,
897,289,427,174,298,601,435,988,122,700,298,982,773,140,827,032,133,684,983,
832,069,032,410,702,052,777,128,257,067,947,629,826,898,029,836,624,495,285,
244,623,649,792,165,588,453,823,803,860,353,069,537,008,036,570,235,355,546,
875,838,185,505,176,925,660,540,953,437,749,966,591,150,583,938,296,964,399,
766,366,950,791,582,211,703,719,981,573,911,550,496,618,948,027,699,984,978,
839,226,910,755,127,381,865,142,046,228,874,336,828,193,664,182,637,583,255,
057,625,696,501,227,547,518,054,588,404,960,729,583,665,008,322,057,034,111,
230,077,691,654,672,064,037,506,530,921,514,591,672,707,606,908,397,108,327,
145,625,938,754,966,092,995,148,439,504,456,519,303,037,196,557,598,176,347,
638,521,838,673,661,710,692,369,154,413,275,747,672,059,526,690,451,678,562,
112,005,642,743,558,679,800,219,030,981,191,950,533,650,674,017,438,420,075,
240,268,943,800,152,616,349,180,524,924,144,755,262,464,719,359,491,657,610,
983,628,176,452,335,674,321,214,029,477,949,727,079,110,746,601,579,001,653,
456,031,557,035,103,426,219,103,651,926,199,327,053,752,747,004,099,059,149,
062,134,050,297,714,976,107,442,008,111,009,985,486,512,038,301,713,792,584,
789,013,453,866,964,170,174,865,595,513,719,396,380,881,211,862,988,440,202,
718,168,598,680,612,077,387,231,880,933,286,569,372,706,155,210,313,750,855,
881,295,642,874,811,751,473,501,437,334,207,556,823,035,753,113,081,403,384,
522,144,539,906,048,719,338,389,462,107,097,772,723,792,743,771,829,552,539,
145,261,588,177,987,634,842,048,164,133,753,818,468,939,708,286,101,166,594,
020,260,735,142,236,006,398,855,248,859,438,039,920,363,765,256,442,725,536,
832,852,405,299,999,188,427,298,927,676,212,478,507,894,529,909,093,452,373,
883,111,943,443,423,428,063,309,802,690,856,636,382,683,239,551,367,700,455,
970,776,944,670,893,383,319,641,938,360,782,797,158,661,347,874,447,928,419,
641,001,827,812,652,914,071,451,132,589,292,785,517,019,475,675,769,418,369,
662,617,801,527,025,388,245,890,236,786,579,288,206,414,867,117,434,534,353,
190,692,859,274,181,954,891,777,170,782,839,967,101,555,247,706,981,632,159,
313,141,139,959,226,078,198,868,338,906,430,571,119,474,264,056,735,611,056,
150,829,809,573,197,090,583,265,889,240,253,269,653,771,020,758,611,749,376,
711,130,906,772,866,875,607,547,225,669,437,240,382,447,617,821,892,065,112,
427,569,203,004,723,183,560,338,997,100,470,624,998,384,373,134,380,788,280,
771,613,858,283,206,086,708,785,129,643,101,274,952,143,820,309,104,917,819,
937,796,002,057,756,572,138,503,083,706,276,352,988,677,709,994,496,163,927,
446,396,740,439,731,192,427,298,395,564,020,268,923,550,459,988,679,802,893,
746,371,005,246,500,999,789,466,249,082,630,019,993,501,799,202,069,012,996,
998,703,504,964,722,650,461,668,935,678,008,985,189,354,413,939,996,429,780,
505,859,468,920,202,927,758,471,426,529,941,267,430,896,474,243,564,378,887,
851,349,737,486,357,585,115,060,551,945,762,304,637,216,760,825,919,227,086,
120,384,360,053,720,257,899,683,278,759,111,801,046,382,476,691,599,958,470,
808,137,695,550,194,057,826,665,073,206,255,490,244,334,701,493,137,131,163,
709,654,777,167,848,720,243,969,969,241,616,275,845,542,924,743,137,988,855,
081,778,883,287,173,743,138,353,730,867,632,857,123,902,102,800,944,431,819,
354,107,747,212,032,437,541,711,164,488,118,116,303,709,369,464,989,118,567,
477,568,483,171,819,879,362,980,213,454,148,290,556,925,531,508,671,425,999,
405,112,685,685,569,742,211,736,383,658,195,684,908,933,410,513,639,242,424,
587,215,925,697,648,972,385,843,477,792,685,160,086,096,819,888,531,935,587,
533,829,309,875,933,738,937,581,164,726,501,919,324,484,971,343,202,654,161,
954,857,005,807,345,623,705,869,704,707,460,527,300,980,764,171,723,490,962,
727,735,725,141,488,878,104,037,543,375,352,520,551,547,442,677,903,257,204,
764,338,658,852,283,016,358,698,680,151,546,038,373,527,663,895,721,083,447,
846,210,064,871,675,607,070,673,300,169,720,665,856,699,926,589,021,985,356,
838,598,378,188,610,362,642,361,477,730,967,227,626,916,159,631,498,272,182,
589,849,848,607,478,519,717,983,268,119,494,777,767,269,790,460,549,599,589,
195,453,921,058,268,374,548,071,430,294,389,254,472,500,431,706,999,572,127,
833,302,721,763,753,127,390,789,266,134,887,028,713,401,279,575,371,566,230,
275,201,405,143,255,907,170,297,889,552,514,434,061,403,909,491,801,616,432,
380,258,953,257,457,902,013,967,477,707,747,528,051,822,550,204,236,331,533,
088,380,932,464,684,256,952,868,529,162,420,223,353,755,213,410,827,553,701,
066,221,407,039,020,968,611,330,073,094,893,707,548,956,278,188,251,814,749,
337,430,234,516,948,474,587,468,324,757,631,908,480,718,277,405,194,417,564,
372,748,613,690,707,599,912,215,663,799,007,412,727,523,190,854,379,281,623,
018,176,135,945,035,443,398,572,355,782,794,796,053,749,611,088,422,742,696,
309,791,794,601,361,405,689,345,191,535,125,020,045,985,942,297,269,186,407,
726,745,866,708,106,037,540,399,121,948,323,663,759,986,493,168,347,786,288,
498,153,916,612,238,140,112,434,056,368,796,638,797,251,248,352,406,946,415,
876,032,545,372,640,521,160,846,516,357,109,699,423,229,217,777,525,684,887,
845,125,999,338,338,316,155,894,039,236,301,559,991,525,785,960,117,280,318,
852,871,572,685,997,792,857,497,974,886,545,727,296,466,883,681,812,806,673,
662,154,486,206,107,038,610,702,647,410,236,727,370,812,013,683,252,026,106,
857,741,823,108,495,671,316,737,224,057,909,360,245,194,943,962,112,039,334,
343,379,351,078,515,707,838,066,619,141,280,494,955,136,814,635,108,925,184,
299,973,437,710,312,979,579,355,112,568,994,100,824,110,094,321,380,169,156,
510,990,176,223,517,636,891,583,685,880,421,125,573,478,077,090,498,984,845,
514,099,509,624,133,161,889,487,298,726,534,683,103,907,264,206,220,702,352,
528,302,307,021,333,205,846,370,838,548,943,783,690,271,544,116,639,769,730,
827,864,324,794,050,577,328,006,166,528,613,666,171,761,730,296,203,785,003,
395,950,209,681,271,751,176,955,795,868,195,816,304,043,547,181,928,823,821,
405,320,064,538,019,805,933,575,226,278,289,459,945,847,129,240,453,532,556,
328,600,171,367,923,637,042,038,139,917,226,743,959,422,082,313,128,543,279,
159,897,598,367,186,259,639,182,401,841,710,507,028,775,771,648,436,893,325,
405,838,815,461,439,481,135,514,060,848,398,545,967,513,935,999,533,153,745,
070,483,211,643,595,181,307,950,399,693,353,076,973,216,192,595,355,242,212,
813,880,545,872,802,122,365,375,918,083,085,522,208,224,566,408,821,590,285,
142,113,703,432,684,092,684,211,650,058,071,243,431,601,824,539,405,636,437,
471,582,329,481,165,496,446,957,255,891,859,309,882,665,360,843,848,059,612,
622,322,221,424,810,722,565,318,817,569,534,378,533,968,101,473,643,715,302,
328,219,752,190,824,059,183,825,358,634,808,061,666,527,742,912,645,626,030,
503,305,727,432,911,953,180,224,259,590,932,857,292,026,627,028,061,671,798,
460,128,412,391,761,483,763,454,264,579,213,174,794,657,249,942,986,533,548,
732,140,357,987,749,933,698,049,336,995,065,150,068,236,729,581,169,853,979,
703,812,077,163,493,162,724,171,593,256,176,501,627,968,969,126,590,149,034,
533,978,556,609,632,488,134,755,080,290,700,087,874,271,194,070,639,428,102,
971,024,010,990,587,175,572,202,401,853,809,415,627,407,807,537,493,220,852,
123,049,340,083,431,172,107,882,940,380,210,245,719,017,292,972,504,422,355,
496,615,432,851,196,735,173,095,440,806,876,492,398,227,289,009,426,671,484,
080,117,615,368,740,935,369,522,390,713,753,283,061,255,708,128,704,128,913,
577,681,278,289,391,590,599,763,429,659,402,729,064,249,675,219,817,594,725,
945,133,356,319,085,877,270,137,196,930,926,985,284,489,588,248,578,794,667,
621,917,738,640,923,174,492,217,272,039,613,190,730,885,502,796,289,049,712,
375,950,625,417,662,338,042,603,128,748,651,171,843,121,153,565,652,046,760,
473,532,358,532,956,422,896,055,895,221,222,978,595,365,838,301,205,803,819,
787,617,546,678,567,597,225,137,440,234,636,745,409,858,170,188,372,495,800,
678,865,042,993,334,344,683,079,803,640,472,054,314,086,203,785,282,692,655,
417,745,597,911,711,377,381,993,852,532,514,194,223,955,322,430,161,933,385,
823,941,390,690,065,613,497,390,076,391,745,263,415,878,611,930,386,326,431,
643,067,763,794,403,020,385,433,833,288,532,843,907,624,137,028,115,461,261,
465,197,848,801,023,108,171,687,201,200,045,369,518,298,907,688,806,478,332,
594,195,739,369,289,791,272,937,652,600,632,029,522,418,152,214,855,490,037,
306,849,696,339,214,897,664,973,497,442,087,171,474,023,260,833,335,888,534,
593,948,387,255,911,381,381,592,829,806,659,355,690,614,800,292,964,407,387,
870,302,048,761,789,320,187,491,148,368,705,587,214,333,419,614,613,483,457,
279,161,628,826,605,632,223,360,018,302,274,701,042,170,742,075,319,285,858,
089,082,807,277,915,458,787,980,822,146,036,633,699,331,741,107,037,393,735,
551,140,636,960,747,677,441,201,457,600,887,810,708,246,157,442,466,742,871,
352,810,317,192,344,243,927,346,993,502,309,624,512,810,562,822,919,876,825,
562,016,643,553,104,914,518,258,228,600,999,170,406,340,535,130,716,235,037,
160,305,964,648,587,863,773,628,353,632,907,956,568,436,360,506,921,158,162,
150,446,417,668,877,574,177,031,445,918,833,201,960,939,244,695,406,798,440,
232,405,710,769,252,280,569,817,033,813,880,740,634,487,682,170,050,244,254,
383,231,657,040,991,136,422,394,779,311,559,325,306,394,396,959,384,255,240,
122,520,120,296,947,106,537,615,373,693,424,608,145,356,022,967,822,335,718,
445,105,105,908,816,148,690,948,975,754,725,568,340,384,315,513,093,290,209,
217,475,771,284,577,469,249,881,216,519,630,293,797,970,896,957,922,727,692,
069,000,776,186,210,304,552,765,470,000,271,201,349,132,728,404,958,740,320,
661,068,463,733,054,041,574,126,791,259,149,214,332,416,199,384,908,195,446,
673,904,855,978,518,683,269,056,252,477,347,810,123,671,781,510,293,225,946,
650,585,597,965,257,291,188,950,199,690,549,628,846,693,269,560,707,730,527,
417,089,774,788,143,235,250,940,026,805,353,590,308,356,692,940,459,625,396,
356,317,038,369,582,170,192,138,631,670,098,896,903,767,989,352,008,783,713,
070,338,989,093,813,619,854,008,106,030,248,519,506,273,356,704,337,228,952,
022,933,456,745,093,358,988,904,878,568,665,626,330,779,497,663,638,521,170,
801,041,586,657,619,674,928,739,623,724,974,328,563,655,049,775,542,292,858,
465,623,734,888,992,554,064,679,470,856,213,151,483,890,447,683,243,181,529,
034,418,750,651,989,127,742,135,384,722,731,774,309,112,902,285,820,094,086,
815,978,877,414,105,275,661,705,210,675,292,866,881,167,570,450,476,407,160,
044,652,587,355,449,542,998,956,528,868,972,719,463,353,976,148,854,540,400,
942,500,381,771,281,524,611,424,869,275,267,388,684,508,533,205,985,888,656,
738,193,306,338,418,636,208,898,345,326,033,550,398,367,575,230,602,342,272,
387,316,236,304,973,999,208,783,348,678,899,866,477,971,426,236,437,067,704,
071,368,664,943,239,625,692,311,245,163,892,659,781,982,877,995,723,210,820,
867,301,812,060,550,786,628,837,445,407,747,823,866,918,975,366,701,936,104,
459,493,433,928,301,235,375,485,363,588,512,300,033,275,240,177,099,277,809,
755,217,990,508,292,011,925,075,943,018,226,187,530,485,898,497,499,435,648,
246,229,617,640,695,324,393,390,600,118,382,535,702,465,305,583,352,551,801,
139,457,963,034,110,430,682,421,893,313,763,135,208,989,240,586,012,124,499,
143,792,749,059,848,962,414,202,411,984,125,442,600,660,155,717,063,020,253,
927,090,023,163,587,665,100,721,345,821,576,238,083,610,693,539,939,819,985,
415,099,633,936,920,274,162,100,631,084,624,467,707,750,333,299,658,943,008,
295,623,521,057,752,586,787,777,522,898,920,855,397,300,743,379,307,153,636,
698,557,338,371,244,665,581,011,228,648,047,514,276,868,783,723,438,756,090,
104,777,539,825,207,177,256,012,505,876,763,279,472,983,089,487,161,840,037,
931,646,575,513,207,686,312,835,450,877,675,803,927,707,157,882,160,776,409,
353,273,205,198,606,614,757,670,016,558,299,417,377,931,792,310,710,337,542,
725,980,298,354,271,826,783,448,755,640,719,578,345,639,101,248,259,549,877,
204,406,355,669,607,909,115,142,631,818,744,729,504,612,465,176,481,311,989,
598,695,511,236,458,476,004,242,506,146,406,475,536,737,660,044,000,516,871,
271,031,240,021,023,828,296,555,192,137,298,070,997,988,690,983,908,314,304,
131,375,699,588,594,501,211,433,791,316,687,487,896,617,659,468,999,213,272,
571,834,121,522,754,276,823,700,659,066,918,791,384,536,651,274,679,958,577,
846,503,562,278,347,924,377,761,972,177,662,330,593,012,151,095,869,058,235,
810,312,088,137,152,045,049,648,315,892,335,626,210,417,373,503,709,401,483,
021,274,391,351,161,739,723,897,244,062,453,130,494,776,431,035,597,633,184,
835,853,073,561,612,693,127,186,300,786,227,590,425,742,699,020,776,060,301,
496,170,377,101,755,817,146,171,131,345,098,150,141,923,857,105,493,504,898,
543,318,958,651,197,457,999,990,475,460,594,730,354,844,529,254,630,264,496,
314,130,467,570,135,623,647,864,574,037,251,334,045,378,113,053,205,323,317,
233,534,353,737,720,178,172,075,536,738,359,374,390,072,410,224,441,809,644,
045,005,681,795,327,898,468,421,395,142,082,307,934,176,190,600,280,969,590,
436,564,422,847,937,608,924,030,453,524,926,764,988,632,960,607,335,737,406,
262,927,762,388,454,890,380,889,643,952,452,777,928,669,991,527,291,198,647,
951,436,678,646,508,919,814,373,424,120,110,291,003,907,297,756,080,354,640,
935,706,142,345,007,260,430,205,645,295,001,879,580,778,167,173,983,973,482,
193,124,805,290,940,146,765,970,941,974,133,573,329,832,259,048,587,512,103,
636,023,482,885,279,334,975,737,518,210,316,363,200,005,706,408,000,961,147,
196,982,043,926,277,758,599,924,145,487,122,661,601,127,578,629,888,854,914,
944,935,994,632,859,697,674,237,551,285,734,765,179,636,436,599,233,074,110,
250,865,565,073,974,272,281,927,774,945,839,322,883,909,798,043,615,576,371,
672,629,288,679,616,678,696,012,532,218,230,016,135,137,778,480,619,538,946,
696,126,242,523,155,646,548,664,197,827,217,003,380,098,180,028,088,440,907,
890,398,526,424,739,841,740,514,643,219,513,153,788,949,387,686,480,677,996,
448,582,576,554,176,387,231,915,730,939,884,401,737,106,765,659,930,887,406,
123,595,051,779,534,352,649,710,730,058,697,846,690,282,895,403,046,913,761,
553,280,495,443,361,479,627,894,630,089,223,747,255,014,734,633,096,521,479,
682,949,565,444,910,767,107,595,529,505,252,988,347,108,581,642,762,795,477,
445,888,317,357,858,783,979,787,556,911,849,449,088,373,262,772,485,586,517,
201,746,048,954,301,482,208,731,128,737,423,893,939,472,338,992,359,465,624,
732,586,078,002,906,801,845,017,006,389,682,655,160,035,076,744,020,290,873,
147,508,066,642,025,306,904,482,206,360,590,277,313,700,577,014,492,250,913,
273,890,473,242,928,977,007,322,270,075,473,877,627,063,959,233,892,273,731,
181,625,293,627,873,643,591,374,488,211,347,922,249,146,306,935,234,513,450,
208,423,765,570,732,663,790,498,619,355,867,388,000,374,465,546,088,406,657,
968,469,548,389,947,963,751,536,046,384,241,598,800,036,146,204,904,020,296,
463,634,353,554,046,341,256,856,819,230,893,539,802,861,360,721,493,258,066,
593,834,689,598,642,316,481,917,658,266,164,418,029,995,450,896,915,014,286,
924,977,014,028,330,708,972,145,259,152,752,488,393,503,649,629,092,747,003,
838,517,442,709,217,669,751,263,920,119,607,663,548,542,635,317,934,677,951,
495,107,822,983,982,933,957,959,231,115,189,632,651,547,340,758,099,106,814,
732,269,615,836,742,911,759,807,823,468,937,444,351,145,514,430,983,431,428,
319,150,130,668,386,191,061,597,699,264,904,680,706,199,517,258,927,111,198,
149,841,072,850,996,922,951,102,561,043,102,399,656,520,032,441,929,653,325,
788,518,436,094,094,863,048,953,069,664,114,946,161,806,747,005,789,360,463,
569,084,544,879,257,649,589,899,382,463,778,332,265,181,099,007,951,368,505,
773,922,837,282,605,680,223,250,920,855,727,501,325,663,582,746,681,782,799,
522,154,550,331,587,277,558,267,261,445,801,670,380,405,392,744,714,765,156,
840,144,495,840,273,283,376,161,490,411,661,610,566,188,494,101,444,604,372,
634,359,139,919,950,758,248,369,876,101,906,266,135,091,119,459,919,205,099,
286,480,258,415,258,625,457,069,519,753,254,226,347,370,499,161,917,133,907,
646,735,223,978,795,475,015,820,134,476,098,937,489,815,218,026,836,067,063,
745,649,141,484,670,338,960,140,078,782,901,008,324,079,216,275,840,858,362,
193,172,677,601,663,387,845,028,115,341,727,056,151,071,933,585,220,164,497,
861,851,140,613,519,002,803,152,584,914,391,415,157,624,314,899,844,002,053,
954,092,695,298,399,296,334,554,996,725,173,318,517,164,376,645,730,243,858,
445,945,203,644,418,473,338,666,742,811,900,598,023,836,154,728,636,629,626,
257,883,608,786,939,393,146,718,842,839,840,280,088,328,992,784,619,226,875,
319,520,884,915,335,071,179,435,067,847,554,714,307,107,981,729,024,744,044,
594,431,387,198,143,360,934,786,078,036,490,712,984,465,453,175,033,621,032,
194,941,171,286,248,593,937,936,475,624,396,039,081,222,735,082,322,375,315,
219,591,211,222,965,457,167,927,412,979,041,689,841,101,494,773,140,156,600,
419,754,845,981,268,674,367,274,826,005,923,135,340,691,904,439,325,050,342,
322,548,878,974,776,316,009,309,334,050,769,540,827,302,168,575,271,918,158,
024,754,490,640,919,801,735,112,925,376,837,800,145,063,159,128,354,274,346,
063,263,372,089,917,899,307,484,354,097,525,914,524,308,691,386,160,038,819,
196,096,927,486,332,244,125,199,347,027,736,328,972,745,404,304,494,556,312,
319,280,681,753,560,875,086,066,228,596,879,569,529,807,076,595,282,490,864,
446,338,234,868,875,683,120,730,811,461,788,099,418,857,317,142,827,056,217,
865,173,123,010,402,940,513,968,719,983,599,730,645,611,341,856,666,733,374,
352,248,624,098,513,362,521,381,403,518,235,055,692,316,834,236,526,988,476,
484,677,974,639,997,605,805,281,096,196,472,931,155,108,026,915,140,202,259,
865,585,735,548,141,438,174,945,602,251,793,150,562,291,761,355,018,627,624,
502,684,535,205,839,311,978,159,450,278,274,510,033,714,390,706,762,791,652,
442,897,387,467,505,426,440,926,904,519,473,914,002,142,832,560,610,759,906,
171,346,272,988,287,341,543,072,568,085,616,027,903,206,061,015,025,729,650,
099,555,006,125,653,285,162,843,897,701,864,440,932,537,825,107,637,162,528,
238,674,933,173,055,682,969,954,267,512,349,371,476,048,260,762,044,560,650,
004,213,964,379,797,826,061,107,374,375,101,075,025,142,560,497,059,358,865,
539,794,946,172,806,935,407,001,237,285,466,626,857,156,681,141,869,121,220,
505,242,934,484,937,325,601,139,484,449,458,268,379,500,953,304,891,440,821,
303,704,368,525,199,549,196,503,297,279,563,721,181,455,757,438,544,241,862,
250,657,207,308,079,909,902,058,858,156,359,703,628,454,027,280,920,108,025,
719,891,540,650,008,174,523,208,386,246,879,222,478,430,135,272,313,711,642,
725,669,627,642,658,199,648,556,278,532,254,474,197,772,472,035,621,476,929,
481,678,631,260,726,048,447,538,744,371,811,990,560,466,404,841,444,727,940,
219,327,082,797,599,629,778,215,297,714,957,618,665,920,824,822,851,975,399,
124,938,816,401,539,152,780,060,986,745,572,045,951,324,303,323,367,950,814,
668,950,242,217,562,447,386,426,129,974,300,855,923,776,154,648,523,371,900,
277,795,613,065,720,643,011,294,318,441,832,616,958,838,894,519,273,387,087,
085,066,813,963,823,496,886,581,299,030,703,313,517,745,173,541,612,194,919,
565,479,946,265,191,975,022,805,256,002,932,386,250,792,933,427,914,345,726,
463,981,161,005,391,760,131,044,445,412,841,239,521,192,391,893,895,867,435,
901,379,871,107,524,120,557,204,689,865,447,722,352,597,968,150,518,245,855,
703,622,080,403,146,825,210,275,895,151,793,370,862,085,128,741,200,926,744,
525,754,661,365,235,515,247,130,371,302,370,106,278,765,456,459,868,158,360,
719,893,636,802,607,484,477,646,539,011,858,221,797,486,659,582,985,190,954,
935,161,189,706,147,565,165,730,280,596,193,832,993,023,531,346,099,182,621,
601,423,825,051,475,142,004,803,688,054,048,002,081,496,184,505,216,429,877,
861,283,107,328,737,029,886,412,163,508,206,558,962,795,133,896,122,861,200,
083,641,235,711,764,939,887,556,859,060,599,923,339,598,450,435,124,483,269,
896,965,646,624,479,852,857,406,316,680,739,175,727,750,605,866,998,831,411,
799,527,059,864,211,315,730,499,859,655,026,684,186,882,434,863,726,023,439,
650,908,302,679,529,341,169,801,449,414,120,093,068,204,863,639,271,244,054,
886,616,734,174,607,582,090,061,489,370,588,180,567,560,100,854,434,944,021,
276,761,640,237,379,698,627,563,434,608,266,850,355,017,686,757,795,921,195,
052,468,651,185,649,462,834,589,543,458,800,029,093,917,348,804,297,292,826,
936,366,258,411,785,713,207,403,426,948,559,344,789,534,295,947,640,425,993,
175,108,526,448,884,412,830,148,224,138,879,391,387,104,663,795,947,938,359,
613,685,733,665,486,388,855,429,872,838,884,054,954,886,113,334,284,063,875,
153,435,485,449,993,677,519,141,667,074,660,098,067,196,153,306,452,484,642,
157,815,302,459,080,787,331,744,756,419,921,311,227,884,659,890,856,451,240,
859,575,020,950,712,174,913,024,024,408,297,169,161,437,345,897,683,062,668,
847,112,437,324,562,547,803,046,377,617,204,034,520,182,972,320,890,512,307,
741,204,622,678,619,167,353,648,917,955,061,607,907,742,787,973,053,569,121,
360,611,971,936,569,993,399,291,304,598,827,428,313,376,360,621,230,805,999,
819,464,534,832,460,578,759,517,456,339,746,340,302,616,327,780,362,389,256,
179,312,123,572,991,476,239,633,629,773,144,139,271,670,008,222,074,783,662,
301,931,587,507,684,309,421,775,409,122,525,440,520,175,100,039,875,365,101,
299,832,321,787,822,106,645,193,904,860,174,045,295,667,079,036,452,626,627,
423,649,816,331,981,559,093,433,935,416,186,008,407,193,856,917,500,231,712,
523,794,692,675,595,939,922,305,842,520,011,781,643,305,160,788,337,944,799,
007,958,717,520,635,098,251,972,323,534,641,114,089,074,017,848,321,897,281,
213,017,016,840,112,289,200,103,212,299,236,328,039,879,255,068,243,621,129,
540,933,856,364,991,448,744,423,744,002,116,853,902,281,605,686,640,388,948,
333,820,331,294,731,811,179,309,133,869,984,128,228,707,580,470,389,841,478,
062,733,996,649,469,797,897,122,714,940,192,596,903,178,035,507,365,024,890,
649,677,895,490,489,240,581,795,448,775,893,362,684,877,766,729,032,928,698,
040,616,908,710,092,803,182,362,482,773,532,840,786,404,232,806,021,763,916,
924,306,245,131,056,401,749,748,675,840,430,093,843,340,545,264,849,617,671,
010,969,626,003,063,390,075,449,943,266,015,230,258,226,734,912,992,854,692,
014,186,421,575,953,745,020,250,266,187,506,969,226,552,730,380,975,333,772,
564,813,835,922,734,641,557,675,094,586,613,102,826,535,232,215,238,389,119,
597,981,007,579,777,516,181,616,134,891,607,971,408,950,578,128,992,555,065,
601,036,320,728,377,085,939,670,930,098,570,160,612,353,346,411,858,774,348,
151,355,255,214,234,175,866,336,773,617,840,396,189,402,107,714,994,317,106,
092,457,549,266,923,124,372,573,900,173,923,772,633,628,222,179,081,927,275,
497,564,954,777,365,969,960,169,936,663,220,926,054,889,366,902,765,258,028,
466,138,561,280,401,650,973,254,862,434,115,953,718,467,748,383,372,336,424,
095,549,551,014,184,721,156,588,621,039,123,896,707,358,377,903,656,478,229,
617,197,471,169,717,707,766,828,566,310,407,784,788,099,037,733,448,470,879,
428,067,372,340,599,119,737,625,597,919,668,760,616,775,168,121,817,723,835,
787,232,810,079,299,100,862,041,047,506,018,833,213,207,338,774,137,839,407,
481,206,009,627,763,622,281,077,612,850,699,059,456,028,812,842,089,592,780,
406,482,869,017,186,076,830,487,067,161,483,963,848,916,415,161,094,661,343,
455,670,885,466,553,022,928,013,145,825,680,399,910,344,192,395,075,481,991,
235,780,200,089,412,249,140,086,825,901,975,511,904,737,418,990,101,648,102,
952,658,856,426,135,297,181,328,275,413,859,199,630,930,372,461,058,016,774,
586,867,700,854,031,321,876,026,362,128,953,851,112,148,845,239,526,415,502,
253,330,647,126,413,488,262,039,780,914,496,088,999,005,327,688,432,634,849,
585,441,195,599,065,283,660,732,715,267,586,105,147,663,941,801,267,059,314,
535,284,763,935,007,017,620,778,622,324,216,070,716,188,897,977,959,582,411,
545,929,214,949,861,463,827,149,017,387,063,391,793,990,930,760,057,376,680,
281,520,247,372,078,332,064,619,899,923,531,103,406,677,972,859,820,424,876,
652,489,362,777,594,276,076,509,859,976,953,080,021,769,359,216,731,103,244,
771,365,107,847,245,161,437,331,891,732,301,467,960,657,443,400,278,505,295,
277,396,296,362,284,566,126,623,340,837,072,404,835,821,255,069,456,224,982,
400,587,475,880,241,775,031,334,268,400,825,708,352,416,661,642,981,938,386,
174,448,208,208,391,381,287,618,807,302,132,492,602,416,149,776,497,761,573,
298,909,899,649,476,176,502,347,778,907,357,951,346,216,072,959,609,538,526,
502,289,703,955,923,574,613,854,912,474,902,011,040,492,877,666,118,688,285,
022,133,755,778,983,345,926,630,845,246,133,542,277,440,701,331,810,717,215,
631,103,535,495,229,199,297,880,015,123,562,725,211,590,021,965,239,147,942,
480,936,310,418,004,573,281,974,680,073,106,760,914,650,710,441,492,489,871,
877,327,331,866,100,795,484,429,988,689,088,000,827,968,494,870,417,734,060,
076,337,173,232,439,424,093,131,318,345,544,513,453,039,769,228,615,082,271,
635,423,544,177,489,764,558,447,359,908,861,042,302,351,738,863,489,233,084,
176,968,679,790,823,849,084,927,324,842,052,785,891,097,520,678,754,547,870,
801,181,025,322,361,305,713,579,898,251,146,104,724,056,805,242,222,709,392,
633,152,200,125,219,336,905,056,979,222,969,330,703,841,684,541,537,763,900,
658,234,103,918,658,116,039,419,374,750,460,257,455,932,454,377,866,486,181,
658,670,960,424,951,213,876,059,302,033,857,946,923,728,647,634,986,173,832,
541,061,229,044,064,342,476,328,028,115,487,989,057,327,447,316,031,697,524,
229,377,257,429,782,343,152,518,383,500,447,069,779,683,785,531,168,800,995,
575,118,203,653,920,398,115,556,060,512,510,396,997,895,685,359,273,818,181,
809,399,752,372,717,604,138,491,252,624,174,156,734,341,883,003,099,605,492,
900,711,220,923,348,472,868,796,455,526,796,602,704,410,548,167,678,296,686,
949,097,883,372,383,891,395,839,040,749,435,428,858,127,244,332,791,525,400,
745,193,498,533,032,374,142,333,668,506,815,051,685,842,900,547,859,441,645,
726,704,548,822,348,601,099,864,572,055,303,418,614,293,825,439,136,449,199,
549,974,726,958,774,184,587,727,873,745,582,883,813,018,674,769,077,323,618,
285,991,293,716,953,679,333,582,226,903,064,271,225,395,186,407,645,256,059,
112,413,979,713,746,469,080,612,852,041,092,556,861,653,655,912,308,429,690,
284,351,538,615,473,251,965,882,588,619,187,713,670,333,820,097,983,118,391,
966,606,145,681,556,858,663,066,258,738,765,132,798,266,545,993,107,368,519,
800,639,482,388,080,312,586,675,848,495,441,558,820,177,905,234,766,575,372,
264,589,714,419,572,776,465,649,509,042,516,640,052,782,851,547,505,928,418,
624,960,466,111,445,170,918,355,900,826,466,388,229,316,009,836,216,158,614,
577,358,335,593,504,107,902,331,557,677,413,865,930,816,178,252,606,252,834,
136,908,285,011,153,313,445,126,146,363,989,274,816,082,302,004,030,062,461,
944,511,933,481,955,736,948,368,114,186,571,357,288,991,001,851,715,914,685,
492,597,687,285,533,216,306,867,745,575,553,101,138,909,693,666,654,071,300,
311,813,449,629,134,037,837,321,245,169,243,445,371,596,079,226,850,791,409,
258,927,789,340,915,074,931,583,534,779,537,064,629,631,076,175,706,315,285,
830,247,592,282,425,712,669,403,125,962,282,044,237,116,486,751,611,933,780,
026,118,617,173,933,282,568,085,196,080,110,987,840,683,239,817,590,958,167,
419,369,324,518,443,951,245,204,569,964,944,898,388,912,058,500,797,205,829,
605,796,093,663,363,242,694,069,449,639,248,383,407,847,022,835,811,886,696,
644,435,273,402,879,943,406,117,302,292,144,796,132,560,703,892,821,156,173,
311,141,626,992,125,157,072,980,695,009,526,632,860,142,282,622,155,653,675,
019,161,687,654,744,062,902,118,525,454,053,000,557,143,696,886,783,238,022,
669,224,219,306,742,082,768,166,102,029,070,027,958,827,179,343,273,165,098,
915,982,958,733,942,013,345,927,526,966,283,090,013,464,851,315,448,964,019,
879,508,274,003,652,336,227,627,395,915,836,380,831,401,882,964,446,925,276,
909,330,084,967,542,873,174,483,375,388,565,158,081,558,456,153,772,145,075,
824,103,641,809,078,017,532,229,804,591,709,135,508,029,377,259,901,238,296,
704,890,133,252,596,327,315,864,548,197,636,845,463,694,032,181,231,248,481,
431,109,927,476,290,583,581,990,856,452,124,783,046,626,738,089,350,536,883,
869,974,410,296,773,129,524,865,069,767,692,385,960,098,295,370,919,448,465,
125,205,677,385,756,775,798,394,146,515,005,015,873,127,534,231,586,118,634,
683,587,891,477,617,546,038,574,855,063,350,727,734,588,457,297,167,557,138,
251,688,838,860,424,625,311,086,584,829,283,517,147,883,422,730,667,436,128,
295,531,119,354,859,558,442,362,304,571,795,422,539,421,236,062,737,495,199,
426,826,831,274,635,156,654,310,443,679,933,044,172,410,977,397,414,282,274,
865,194,624,732,221,379,104,393,035,994,736,502,815,917,391,622,585,123,708,
938,225,574,067,070,066,507,135,416,179,310,031,952,118,947,225,439,668,563,
625,020,749,713,918,559,188,097,128,824,387,911,251,708,446,743,822,960,745,
892,764,945,218,269,872,263,945,304,298,318,316,824,013,923,876,507,109,191,
624,978,135,684,247,601,644,927,627,858,247,200,093,682,733,059,150,537,041,
882,889,468,953,611,653,461,939,251,828,336,936,249,873,402,555,330,712,199,
972,455,193,643,167,709,654,177,262,356,677,822,380,195,861,098,385,601,441,
364,646,937,576,211,765,987,329,752,238,567,347,054,816,436,694,324,889,269,
929,566,734,456,619,472,635,926,432,085,615,175,904,595,974,423,794,759,197,
291,758,136,302,046,946,312,829,410,777,616,218,361,156,575,064,982,588,428,
366,355,771,807,951,364,775,056,028,373,008,882,209,928,697,472,373,403,741,
493,695,001,147,263,861,632,203,319,750,591,279,243,482,983,235,630,979,407,
053,905,305,898,951,043,894,697,425,122,954,176,765,658,516,411,084,582,235,
008,684,834,384,165,888,140,682,389,591,480,581,597,013,114,556,149,069,119,
677,842,747,944,861,888,271,375,322,296,516,786,829,823,198,463,688,010,075,
011,309,189,508,437,901,040,962,931,078,412,955,032,887,780,912,334,550,049,
355,557,990,329,253,384,985,366,099,093,793,904,162,876,200,568,620,318,757,
874,317,888,559,955,160,076,452,611,843,789,001,447,266,913,697,210,558,626,
359,342,305,750,293,537,754,545,150,697,414,151,113,301,816,009,527,779,146,
648,489,759,725,264,317,546,946,765,530,102,086,218,262,056,594,082,799,779,
896,742,148,962,707,547,732,712,220,322,295,503,994,630,109,494,049,242,506,
677,548,405,515,458,901,154,455,400,928,179,500,743,875,757,869,710,410,110,
955,113,413,282,878,696,014,295,379,741,529,264,647,251,465,444,092,087,641,
044,958,344,634,104,914,128,293,704,227,618,530,132,947,987,534,310,022,935,
379,307,296,300,996,380,456,756,873,423,873,496,457,065,724,981,346,377,450,
383,063,440,892,651,946,591,778,731,532,048,003,274,745,647,142,359,689,444,
605,995,088,410,561,085,653,240,191,939,107,854,219,037,189,864,378,042,957,
826,306,868,807,404,109,599,638,970,962,981,143,968,154,996,282,630,820,378,
222,450,685,093,167,315,898,357,122,043,791,109,307,276,808,456,794,942,587,
040,945,526,138,593,722,071,396,255,126,481,760,480,208,013,009,654,524,423,
709,864,391,625,714,921,962,718,970,972,041,653,233,603,121,734,766,005,316,
867,574,872,584,433,581,267,002,649,822,049,865,263,582,698,066,124,826,608,
802,800,787,824,381,303,067,780,618,830,363,517,792,949,507,061,210,501,161,
183,711,388,334,047,984,906,686,521,954,973,030,022,575,506,175,210,713,965,
569,103,159,244,380,329,083,482,133,643,969,204,571,314,496,760,060,783,307,
735,136,314,102,001,851,972,578,321,586,943,209,270,505,159,016,073,658,897,
546,894,312,607,289,318,254,812,434,553,066,164,568,673,866,915,514,938,065,
612,347,258,922,649,473,257,478,870,639,562,199,539,086,419,014,394,402,702,
215,124,297,492,418,658,804,199,928,044,761,693,232,401,881,154,568,452,474,
954,108,269,954,689,889,517,454,722,738,314,526,361,214,655,934,779,156,974,
374,241,903,985,435,582,918,125,182,330,333,911,616,745,226,796,732,166,659,
574,980,583,768,996,523,033,667,794,166,004,323,456,631,172,321,870,790,288,
438,085,454,052,851,024,095,597,478,118,510,054,201,268,035,505,484,740,774,
878,666,196,645,073,749,216,660,444,045,495,873,406,461,799,985,919,973,337,
657,813,991,895,656,586,503,245,025,478,990,316,259,906,131,091,642,014,516,
868,326,880,122,178,250,968,084,114,375,964,447,601,541,074,233,773,366,416,
062,991,176,634,040,036,592,666,722,909,244,977,090,646,935,051,379,064,061,
410,382,074,903,519,753,906,448,901,564,062,866,002,653,106,915,174,364,026,
216,484,693,010,167,220,167,006,769,829,145,058,688,182,478,388,414,774,261,
732,615,727,864,581,798,461,508,870,998,943,602,041,779,948,015,923,260,085,
486,911,128,860,347,806,349,474,184,989,321,788,024,664,143,379,839,144,929,
365,263,610,335,578,196,991,926,157,880,604,825,897,009,488,020,249,799,729,
338,258,186,012,917,471,366,378,930,851,678,227,200,989,249,348,078,678,275,
911,748,984,147,113,634,917,997,042,295,929,487,160,715,688,668,969,749,132,
669,794,301,637,340,993,067,469,257,152,033,864,739,020,789,394,710,848,329,
044,425,512,425,324,407,974,155,727,644,677,119,044,172,625,352,244,506,166,
538,859,151,272,383,538,275,143,754,895,236,154,305,705,889,768,630,360,640,
883,412,491,038,318,791,834,442,949,651,713,182,149,293,678,493,419,825,225,
663,996,065,113,572,453,174,293,557,698,989,756,415,743,911,296,255,561,982,
505,021,038,753,098,555,720,634,909,504,751,846,728,979,076,706,470,274,942,
648,301,844,182,327,063,035,242,667,490,280,986,881,309,764,478,579,188,967,
730,653,875,236,194,599,747,789,388,015,202,554,731,117,076,407,166,893,064,
781,490,832,615,566,136,071,300,550,916,649,327,309,754,692,057,190,599,365,
954,991,687,756,383,813,637,781,699,293,788,318,117,058,878,020,650,707,531,
391,295,139,887,800,090,777,210,130,287,366,620,372,644,963,065,453,031,464,
990,242,459,998,758,785,902,468,672,328,774,723,305,289,761,200,812,898,112,
809,598,171,619,623,132,475,880,057,225,679,523,640,296,127,741,169,617,473,
531,597,755,424,233,296,834,624,572,201,841,407,293,266,864,497,868,844,620,
865,304,307,306,372,907,513,993,846,627,894,876,340,261,778,001,152,821,074,
464,993,009,142,603,897,494,880,493,045,823,885,335,584,047,242,764,715,615,
681,405,993,098,645,843,158,973,547,729,203,998,201,558,619,720,498,917,866,
591,598,776,001,040,423,054,361,998,584,188,554,176,979,068,713,807,291,101,
710,330,524,761,621,209,516,118,310,742,600,329,910,262,334,532,264,182,151,
890,659,764,330,634,037,535,000,828,096,669,291,525,254,207,247,332,283,469,
559,271,933,408,014,811,572,813,703,995,283,956,752,400,939,070,879,520,814,
306,050,504,803,128,687,468,191,896,170,324,947,628,981,632,620,280,918,056,
443,340,932,332,193,222,084,251,636,120,221,565,740,771,264,638,507,105,868,
817,659,840,296,319,506,624,596,624,760,642,801,333,740,223,418,283,931,732,
981,884,895,594,128,299,767,177,917,696,021,264,308,193,375,057,863,946,546,
491,107,624,458,060,856,041,102,331,197,025,688,385,185,576,276,937,807,206,
777,628,313,503,901,462,295,193,067,012,558,152,628,025,736,601,092,998,088,
305,559,271,514,788,078,303,655,698,952,864,721,048,978,448,761,411,694,704,
065,489,976,370,674,736,992,635,443,606,714,169,332,782,702,196,808,957,537,
483,442,479,935,837,410,731,652,690,882,237,782,394,618,440,976,300,326,692,
943,566,719,878,359,395,742,481,377,632,258,712,554,387,048,333,106,198,453,
795,887,702,924,850,074,210,843,382,979,012,801,514,058,979,522,912,471,856,
694,043,702,572,949,599,697,567,696,236,156,940,578,499,334,417,584,307,296,
272,875,099,770,934,172,752,916,949,711,091,947,859,649,404,136,011,484,880,
498,539,122,160,790,643,921,584,089,004,101,944,010,676,337,317,488,523,020,
972,847,746,255,956,792,667,636,248,613,869,617,347,656,149,797,680,146,671,
048,629,669,897,197,448,140,231,940,055,961,103,970,438,251,796,819,212,847,
090,947,330,356,165,677,817,152,482,025,164,539,820,994,347,633,533,070,063,
836,061,164,728,821,180,721,522,465,316,642,627,284,580,236,544,401,489,396,
945,065,675,429,192,791,108,499,209,418,876,898,350,978,877,749,286,683,808,
151,981,680,679,759,430,972,768,344,375,123,529,188,543,063,455,158,615,408,
260,048,074,875,179,149,819,657,995,592,898,790,519,464,039,279,540,928,174,
262,421,539,699,635,124,314,185,283,422,031,328,154,649,962,466,357,798,036,
874,530,436,499,052,179,919,378,395,990,333,187,015,075,048,871,680,714,508,
088,220,920,402,431,480,268,043,910,572,394,412,407,409,488,024,589,431,389,
929,253,411,113,951,581,279,920,103,290,922,837,279,643,598,203,932,561,672,
876,199,471,500,131,816,068,270,960,279,193,055,432,527,636,776,476,983,442,
009,706,294,807,113,350,831,222,276,487,058,270,062,796,741,617,414,243,068,
418,431,236,497,647,255,444,811,717,114,536,237,115,578,178,172,657,362,985,
707,478,396,178,502,453,672,183,238,368,117,750,051,954,637,822,982,240,222,
412,826,277,780,217,338,207,793,358,427,340,760,735,667,865,211,253,112,453,
003,630,626,944,450,361,546,684,232,659,358,076,069,748,885,182,242,034,948,
935,843,999,988,118,280,164,549,232,009,133,553,608,148,674,723,528,919,399,
389,117,943,210,762,751,814,012,399,202,680,318,467,481,233,722,884,110,161,
974,951,664,232,818,134,734,593,502,494,426,563,013,922,118,409,724,155,403,
960,336,655,355,429,458,085,413,499,899,501,683,364,757,912,606,271,743,827,
921,489,371,572,374,499,004,624,712,798,003,883,029,483,205,808,240,921,132,
156,952,662,991,569,512,412,881,207,426,322,240,211,244,752,315,726,190,221,
451,116,309,300,363,480,323,111,756,279,596,333,625,286,222,803,888,524,253,
192,225,230,862,246,821,417,982,019,799,957,075,971,162,501,435,575,701,370,
862,072,140,666,378,867,806,350,870,312,572,398,160,873,923,594,674,659,650,
869,336,049,649,820,631,700,729,960,668,805,227,835,507,267,630,632,197,360,
129,552,917,833,922,397,472,890,014,038,088,313,414,981,681,499,792,217,349,
642,252,406,092,712,327,569,424,985,388,548,980,561,935,840,315,837,500,428,
363,263,127,761,954,138,886,498,237,006,970,145,321,441,452,066,923,104,994,
980,158,627,681,991,290,934,219,922,570,239,251,003,774,729,401,619,828,281,
470,603,330,436,914,994,141,750,881,640,018,595,706,966,820,268,243,015,611,
237,642,913,503,466,103,112,112,828,512,510,179,947,494,710,333,718,599,261,
105,299,923,316,757,544,857,674,328,996,581,206,372,596,361,344,595,668,041,
249,638,629,427,134,472,569,826,089,529,966,761,582,507,471,018,224,939,482,
197,157,103,409,838,081,765,186,799,137,872,661,300,783,502,167,295,606,043,
239,828,689,481,529,033,342,657,964,159,028,718,154,095,955,137,428,121,883,
675,294,656,085,597,691,498,182,583,729,315,666,913,422,844,717,929,435,022,
285,187,578,956,883,828,584,011,498,678,711,285,114,492,142,862,873,598,095,
805,690,666,894,889,786,143,927,938,930,230,448,270,961,804,725,381,979,666,
435,216,026,335,628,504,228,121,260,778,170,482,023,252,327,796,286,691,765,
438,397,563,929,173,855,801,882,211,875,626,229,209,845,450,833,844,311,334,
526,879,541,419,540,195,344,452,119,597,447,376,581,890,511,347,767,525,502,
701,998,277,156,003,035,611,617,338,713,223,055,810,761,188,331,272,238,649,
314,397,283,132,100,666,752,197,112,155,581,345,296,587,583,734,343,831,489,
289,607,286,839,084,213,073,896,630,198,487,117,851,907,316,790,218,598,405,
758,147,619,810,962,165,498,892,683,404,770,438,309,089,282,361,335,741,488,
072,946,523,355,699,965,815,377,072,056,743,622,599,722,056,994,796,337,583,
251,947,517,763,205,830,730,120,848,505,836,833,006,799,476,704,885,598,307,
789,894,751,151,063,199,514,128,914,976,173,534,788,718,025,919,491,527,515,
895,332,996,083,407,476,380,644,568,313,500,758,355,569,837,267,747,311,247,
809,553,135,056,088,857,035,948,438,156,284,974,243,900,774,975,662,219,043,
605,252,124,139,872,969,274,806,237,065,366,882,226,331,102,272,774,843,512,
758,527,765,997,073,271,981,104,599,749,364,747,881,347,620,595,355,077,970,
318,768,495,009,627,870,980,830,704,879,637,853,457,615,524,522,614,924,076,
703,428,146,482,030,389,870,971,006,345,476,458,261,937,517,792,576,125,760,
857,396,479,933,380,387,450,769,868,077,937,039,915,537,270,379,032,871,839,
455,504,264,944,325,226,670,374,426,660,743,075,347,235,905,650,167,978,389,
889,525,936,349,897,798,776,292,378,755,702,185,677,087,049,061,547,366,042,
509,917,212,000,036,419,208,205,497,563,892,635,972,604,756,809,083,097,309,
014,246,653,835,282,571,763,332,519,213,465,129,466,581,051,376,932,489,648,
543,555,280,501,210,280,311,111,955,614,613,032,058,716,213,041,964,272,990,
752,819,857,541,050,929,838,908,328,211,244,617,330,394,667,319,744,048,397,
149,535,328,772,920,562,619,449,876,685,603,740,642,481,587,444,981,058,662,
928,010,663,113,878,239,601,245,078,595,231,380,943,810,245,805,130,936,704,
696,939,668,454,589,503,459,672,007,395,738,994,792,471,756,287,626,897,163,
080,901,140,075,910,440,093,181,337,256,398,715,139,880,260,623,142,746,109,
242,012,977,120,414,615,159,671,385,136,755,335,864,280,959,151,084,949,351,
187,015,286,279,485,412,700,347,937,764,853,778,583,246,159,363,287,292,866,
790,012,620,758,425,558,793,977,163,704,220,448,291,033,554,799,775,011,196,
419,883,046,502,601,754,016,995,149,076,759,660,096,664,880,812,619,915,729,
469,598,153,205,489,984,573,535,219,611,892,493,172,213,579,347,677,469,780,
763,320,491,158,150,054,130,237,902,394,665,941,802,218,523,339,448,831,252,
943,186,754,971,028,824,071,447,069,227,450,891,257,029,256,020,532,774,710,
659,956,507,018,541,484,338,305,302,399,735,281,855,144,829,824,225,920,294,
673,973,645,227,303,989,088,235,997,479,518,645,214,815,894,169,869,266,289,
644,570,039,608,804,791,501,512,334,986,423,865,772,577,212,496,297,848,874,
887,140,008,055,705,169,198,849,825,265,697,993,039,776,302,427,566,239,935,
507,391,326,413,590,554,647,925,856,707,332,921,117,428,770,817,556,587,403,
427,640,842,702,285,250,716,645,635,501,959,923,582,043,344,700,506,151,307,
671,609,979,039,377,994,254,786,841,162,199,066,334,196,107,204,380,208,523,
628,814,963,928,222,967,725,064,436,829,420,827,606,602,632,155,103,517,560,
350,171,982,721,976,332,979,099,979,440,252,832,034,960,797,090,156,809,930,
843,795,870,596,938,462,055,630,612,309,293,512,830,193,866,001,454,080,785,
069,573,264,457,719,347,531,348,359,982,324,636,173,485,457,881,996,890,806,
793,706,973,316,503,712,565,596,935,762,827,800,260,710,416,554,174,057,969,
239,588,183,353,689,162,459,516,127,725,794,508,490,424,036,214,862,409,860,
606,387,260,436,321,387,669,677,103,034,266,131,925,260,248,206,270,416,914,
125,022,074,950,693,546,996,823,909,982,497,617,165,638,355,110,453,834,103,
466,275,236,325,265,580,703,141,898,155,600,423,316,692,693,948,012,878,370,
377,726,737,034,063,737,165,593,706,657,381,684,088,013,654,006,691,360,414,
793,281,205,400,401,403,347,980,932,886,691,259,359,326,582,035,338,281,571,
989,153,069,649,904,887,216,367,403,203,580,137,144,281,440,939,240,601,993,
038,933,114,509,680,424,094,290,701,338,943,360,166,436,179,804,415,309,228,
266,377,649,679,912,651,054,302,538,845,772,498,309,813,569,152,852,103,880,
196,392,499,576,617,701,241,895,376,012,328,272,198,524,083,535,689,079,094,
301,855,995,238,903,198,863,126,464,374,849,252,519,424,851,866,971,219,740,
362,302,929,735,220,967,900,140,025,444,070,258,217,052,445,759,690,610,116,
266,446,758,059,928,749,308,506,896,981,732,714,388,235,148,961,931,938,044,
004,745,878,757,841,272,165,586,313,013,887,020,015,593,917,204,704,811,798,
310,313,282,512,666,073,406,098,181,785,209,392,540,556,580,279,938,467,385,
822,067,660,138,535,184,053,181,631,141,801,404,384,940,602,038,326,528,681,
172,112,221,450,348,429,784,558,459,370,041,711,926,100,189,962,983,319,020,
032,963,378,562,668,769,194,820,477,479,354,331,467,725,414,532,537,318,142,
092,586,136,900,562,619,287,763,369,625,543,755,353,027,674,948,719,537,141,
596,961,157,933,958,924,165,748,636,079,408,620,480,929,433,499,742,375,168,
306,241,230,380,603,676,112,878,890,159,538,713,025,556,300,933,118,777,514,
817,690,068,193,049,747,458,165,721,997,524,625,666,465,074,201,178,830,833,
605,490,011,763,173,911,729,284,169,173,434,115,847,763,056,106,226,511,581,
569,012,329,925,774,103,055,484,907,248,821,074,064,851,090,742,651,609,767,
084,899,172,045,653,255,561,848,041,226,567,141,970,709,952,878,145,877,582,
872,414,262,023,453,649,504,542,905,576,950,153,194,696,690,570,503,192,014,
361,910,612,066,189,931,100,371,872,282,152,210,957,575,234,090,408,420,632,
778,487,498,056,196,018,363,504,099,539,956,669,520,113,758,886,722,597,320,
411,591,292,880,325,433,846,152,064,435,150,057,620,779,257,733,393,362,118,
080,969,075,934,750,187,652,976,376,022,513,273,203,352,157,567,579,144,965,
806,834,829,396,694,251,296,672,574,760,020,178,420,190,104,122,375,006,116,
192,286,308,832,119,514,942,524,254,059,765,310,082,807,007,352,910,550,464,
834,223,459,256,865,880,374,399,828,358,900,957,140,893,268,240,166,175,104,
376,932,832,232,821,807,025,352,004,814,214,467,979,870,699,598,417,518,665,
533,604,963,147,698,858,692,768,106,965,572,172,751,675,511,871,995,084,988,
623,921,500,232,843,029,547,922,853,392,651,647,288,573,452,377,323,934,113,
416,052,634,293,677,824,390,449,067,080,708,327,094,420,843,155,138,276,875,
609,607,451,990,385,208,190,583,065,160,975,237,446,721,375,735,371,183,230,
420,465,029,773,529,950,945,572,374,895,481,470,038,473,174,135,985,411,228,
374,247,767,051,549,517,958,537,323,165,080,581,793,009,363,588,993,890,855,
559,351,944,466,081,620,222,046,024,078,167,273,105,163,061,989,377,886,858,
878,742,154,527,184,970,206,124,764,259,017,932,002,631,195,074,727,643,581,
126,026,948,868,021,379,731,149,469,322,793,602,865,697,312,878,933,032,910,
739,121,398,077,315,294,285,307,832,519,272,371,995,322,700,079,929,950,287,
987,267,958,699,529,032,303,432,734,207,242,061,572,180,761,904,402,897,182,
776,775,435,461,172,472,759,897,186,043,469,339,027,911,623,061,889,144,316,
194,057,422,237,740,534,562,275,500,979,745,022,383,347,433,621,861,684,810,
602,679,698,030,598,294,441,446,668,260,956,048,751,228,961,180,975,627,453,
143,841,583,694,552,130,646,523,785,278,104,246,270,474,528,868,779,798,863,
466,245,314,192,440,721,269,793,931,984,829,582,498,211,821,149,280,313,916,
674,228,482,664,871,315,143,118,917,435,244,361,096,259,222,118,722,047,882,
068,407,983,746,034,286,199,355,715,660,470,990,632,184,117,786,471,782,240,
973,132,807,185,171,695,493,718,214,365,656,786,873,431,591,093,221,471,987,
400,042,626,255,481,712,764,657,986,594,139,131,029,402,196,793,005,225,572,
505,618,615,586,309,907,804,658,387,276,169,176,237,147,533,354,571,204,737,
474,102,181,951,745,498,095,131,950,892,564,192,661,977,682,570,277,708,558,
771,301,121,750,165,141,363,602,366,251,423,338,565,014,939,718,406,303,934,
136,480,838,540,864,552,840,714,293,263,513,967,786,258,815,316,680,772,743,
081,694,242,473,857,872,153,504,745,733,768,843,632,619,868,832,468,540,787,
647,173,846,426,783,991,509,242,610,874,106,158,390,357,935,768,211,488,627,
593,679,443,159,357,842,482,504,615,396,263,744,716,575,339,982,344,521,797,
633,667,830,923,627,689,746,370,928,353,527,775,632,449,588,362,867,964,162,
394,035,481,955,310,820,873,589,860,072,521,763,818,208,072,565,873,784,653,
666,876,506,310,123,355,462,307,890,246,617,717,033,847,671,266,609,382,300,
112,874,626,698,387,506,045,989,616,729,606,950,121,126,252,155,921,124,936,
086,078,648,458,813,446,120,556,044,951,941,257,688,668,390,212,294,008,195,
674,025,102,344,475,544,498,804,552,914,746,429,864,436,719,612,600,187,652,
622,286,302,742,315,134,252,184,511,537,670,410,893,321,864,396,743,606,810,
863,108,105,263,223,941,949,569,796,498,513,841,759,384,483,291,182,183,649,
769,971,622,121,856,874,601,744,182,309,165,630,387,220,092,956,331,291,574,
198,588,758,613,077,471,635,393,705,356,424,320,784,310,693,596,283,288,080,
861,691,874,061,527,987,989,199,356,443,842,679,750,232,806,696,617,515,491,
319,438,779,281,919,341,663,270,835,604,070,452,494,802,828,132,113,871,840,
108,843,065,679,784,768,795,744,327,661,909,285,921,511,602,727,634,293,142,
792,087,710,158,394,182,692,079,431,390,630,704,467,245,394,265,909,548,302,
842,689,284,840,013,874,483,503,489,478,158,198,480,850,843,482,749,879,159,
333,905,128,887,066,584,543,731,719,088,380,820,363,983,680,433,305,597,971,
711,850,784,996,916,359,053,934,700,346,872,674,387,123,776,031,241,793,871,
518,156,831,690,375,873,387,114,199,318,286,772,721,048,338,792,212,719,601,
303,094,719,169,119,288,073,892,690,340,951,125,715,759,890,833,898,296,753,
961,426,338,092,276,200,965,030,434,303,409,331,041,823,512,752,213,367,695,
417,923,071,882,913,433,250,485,008,307,726,693,964,250,391,953,140,946,825,
238,380,125,285,230,467,627,264,155,859,958,175,140,731,339,364,374,806,392,
234,375,655,661,310,973,980,055,270,294,743,037,547,463,083,584,391,653,253,
276,364,137,407,592,180,843,412,056,608,047,396,675,997,520,747,123,151,659,
422,364,120,662,191,073,428,571,440,219,958,902,205,304,435,889,288,680,622,
860,696,357,092,928,204,160,666,604,521,044,796,092,497,290,544,213,991,985,
145,266,760,446,447,139,639,137,319,133,260,275,290,009,612,828,128,654,088,
865,220,318,162,522,759,672,530,539,802,396,460,162,885,453,622,774,889,540,
436,688,439,150,333,963,689,988,899,722,560,757,451,570,273,740,741,046,124,
054,636,995,107,407,185,093,970,974,676,377,711,824,897,320,245,249,257,451,
431,453,476,266,750,887,741,775,669,122,529,108,908,276,561,730,009,873,123,
516,779,231,190,605,051,390,328,829,719,387,367,225,828,387,262,938,866,198,
064,742,200,233,218,805,365,977,041,903,446,738,249,319,926,174,120,012,146,
463,518,435,979,778,579,656,616,788,028,433,439,729,134,344,138,598,797,538,
987,696,137,335,714,221,827,791,347,120,637,958,975,716,179,465,128,086,832,
678,601,284,893,401,516,771,003,423,975,371,974,136,438,684,286,528,072,561,
165,440,227,794,099,216,192,876,654,886,381,141,019,694,530,961,768,556,077,
290,122,019,540,169,723,923,035,095,072,039,982,913,522,497,265,783,073,801,
717,583,141,524,267,868,190,132,646,922,921,183,215,821,265,022,034,508,566,
879,333,151,537,548,160,166,166,379,219,945,126,365,883,112,402,433,823,819,
722,280,128,947,054,187,081,687,328,052,269,448,902,749,859,264,423,020,449,
979,587,946,433,706,234,003,701,498,632,500,973,026,590,448,734,222,571,168,
026,282,292,642,209,572,857,316,557,361,356,854,491,237,632,912,161,181,310,
702,277,328,662,543,816,480,792,639,034,125,254,711,081,571,646,046,057,734,
867,666,866,941,789,267,527,647,657,613,202,160,050,314,562,107,781,192,767,
875,349,441,019,728,069,363,374,145,310,806,224,621,656,898,345,492,123,311,
951,360,315,076,848,660,184,643,601,882,870,233,854,156,747,331,823,756,935,
203,025,874,303,770,500,743,662,388,031,727,093,444,821,437,636,248,822,018,
855,983,502,086,670,866,213,309,383,396,759,790,323,792,051,572,458,168,554,
603,102,283,223,342,716,539,341,372,442,722,946,125,284,943,651,444,415,698,
870,423,399,056,126,189,400,092,414,486,553,659,277,908,656,755,300,213,674,
284,027,626,196,731,794,222,834,347,294,459,499,804,479,749,271,544,902,182,
217,227,908,807,497,958,368,919,220,638,771,768,904,119,568,332,898,218,217,
152,386,962,025,583,890,342,944,700,787,463,763,458,447,970,323,055,854,646,
056,144,186,410,858,264,809,287,619,521,144,656,076,243,204,800,309,915,361,
672,895,229,776,586,198,365,378,539,178,589,514,150,757,147,797,497,838,001,
633,250,865,480,161,854,667,860,708,059,443,403,935,025,755,687,339,043,481,
804,842,131,710,889,375,420,750,188,049,846,470,183,645,220,707,096,563,678,
928,075,318,283,962,421,564,353,434,587,636,571,031,980,254,627,791,546,099,
851,292,093,089,494,657,420,612,028,872,410,629,863,406,915,992,970,977,767,
463,038,358,721,779,030,031,196,630,969,297,145,860,585,432,552,447,426,520,
749,732,410,735,700,174,307,447,102,140,959,852,776,593,343,025,400,931,226,
272,019,966,631,425,766,918,519,330,328,346,977,624,107,120,953,059,873,493,
204,815,587,977,736,217,766,237,721,290,327,838,236,209,353,024,448,315,595,
231,723,290,187,917,721,561,132,390,887,450,061,582,054,861,803,385,455,674,
656,521,411,717,984,197,761,393,322,832,210,365,293,257,612,439,337,720,165,
316,557,880,554,308,835,384,921,257,812,746,591,335,361,273,578,172,484,105,
200,427,797,436,899,813,467,192,501,451,921,463,236,115,914,407,575,964,246,
785,342,013,608,975,300,001,778,931,083,000,240,424,341,445,611,479,371,763,
996,954,526,894,225,926,987,968,244,175,143,053,734,010,464,662,003,988,647,
201,934,545,502,738,125,340,144,376,625,607,976,215,113,915,215,846,030,655,
998,516,301,241,001,154,548,060,223,621,153,410,734,231,212,267,852,590,943,
129,920,825,530,603,729,845,491,252,570,318,856,186,553,691,251,828,379,061,
622,721,816,835,807,637,108,295,533,694,682,223,485,852,647,603,528,044,977,
297,762,483,147,164,142,521,028,067,328,331,243,338,128,906,542,002,598,817,
270,092,172,953,591,449,519,412,092,997,117,128,151,408,469,551,054,783,667,
715,181,035,016,953,763,942,065,292,433,304,843,659,045,206,356,307,397,467,
675,366,748,628,044,957,592,318,049,531,123,475,209,280,812,939,658,678,709,
564,769,426,378,790,708,217,433,404,604,376,092,176,019,794,150,925,414,526,
078,238,366,720,426,055,911,848,591,132,798,266,150,056,872,033,479,623,971,
078,882,477,188,524,470,232,496,936,474,273,234,053,006,740,702,162,265,115,
222,699,922,737,463,380,803,123,245,263,404,956,226,386,839,892,533,400,961,
876,907,973,422,646,839,573,796,860,708,517,265,154,527,643,482,030,881,986,
120,297,240,893,636,097,368,660,900,893,482,396,124,778,471,939,478,152,695,
803,196,817,426,501,091,806,733,524,910,141,781,066,028,721,092,091,932,209,
743,988,023,880,228,143,250,844,554,936,946,481,103,017,559,928,303,331,443,
630,325,010,144,094,190,885,769,512,537,792,751,445,542,911,621,509,873,596,
320,539,877,114,335,499,251,450,853,960,789,307,828,796,861,022,828,576,558,
688,043,901,535,405,700,999,573,249,535,450,015,591,899,021,189,632,564,353,
941,357,657,328,759,028,360,245,995,209,978,259,038,253,071,823,012,944,815,
544,375,265,969,866,309,377,517,806,091,831,263,289,395,596,766,155,766,340,
109,365,684,958,312,664,262,337,104,481,986,625,079,572,643,807,181,485,855,
198,510,764,933,720,040,470,421,951,641,223,268,282,544,183,642,066,532,596,
349,682,332,564,934,450,086,158,999,042,383,802,154,264,122,486,424,896,782,
123,325,847,564,928,233,186,295,644,141,130,287,910,941,823,921,073,012,136,
782,688,540,227,609,145,902,304,009,432,203,154,541,225,681,302,870,753,445,
069,017,130,116,922,529,689,597,704,793,046,020,052,798,407,823,807,510,551,
534,086,065,029,250,608,805,063,219,785,659,575,507,585,660,289,886,868,856,
528,404,278,969,611,493,975,469,646,714,701,701,408,030,181,677,556,311,026,
515,621,457,929,549,386,446,986,841,324,416,441,290,407,502,689,217,145,501,
605,075,435,851,258,693,701,143,824,094,923,390,774,511,661,040,069,975,538,
914,803,218,492,579,378,641,716,791,793,152,677,287,419,455,611,990,298,006,
883,722,566,722,290,840,325,615,035,941,377,094,418,160,707,387,351,094,374,
318,364,195,809,255,205,308,396,423,451,646,005,740,330,153,457,934,861,515,
545,787,973,763,448,856,269,203,170,861,250,029,861,149,110,886,870,589,603,
332,872,530,091,873,547,545,496,082,489,951,194,115,753,881,878,945,601,785,
324,661,236,164,096,309,259,571,423,007,418,546,792,240,043,233,287,632,105,
025,754,567,354,674,211,090,702,527,676,570,105,401,995,275,912,060,353,307,
637,239,956,391,102,409,662,296,440,027,897,429,940,127,471,247,280,172,963,
105,438,518,830,178,763,006,850,675,455,691,487,009,798,388,812,032,833,622,
069,549,913,405,512,328,993,861,763,217,579,003,506,136,624,909,208,653,816,
791,415,365,842,022,184,164,628,810,561,415,183,917,946,865,233,331,069,322,
051,594,155,252,369,842,455,240,679,684,584,380,207,322,834,011,331,436,039,
208,925,762,504,597,957,779,479,929,634,278,549,372,828,072,866,748,332,084,
160,756,622,568,785,561,146,495,405,718,248,072,965,463,391,501,531,431,737,
373,144,362,417,609,579,351,471,865,338,472,530,022,198,538,737,892,712,551,
368,960,134,586,458,323,886,857,400,284,277,655,005,614,207,534,424,355,499,
436,498,388,754,374,221,876,120,220,278,290,399,742,515,493,515,941,142,042,
733,521,908,435,045,703,902,273,260,230,909,004,937,589,142,370,242,850,478,
357,393,151,208,681,292,777,980,115,087,118,112,639,829,349,336,046,750,029,
897,748,878,079,622,148,770,122,614,598,532,936,927,311,300,727,483,466,233,
022,392,247,122,426,815,503,514,180,694,687,782,715,544,712,692,495,969,153,
732,634,407,929,145,442,017,893,742,429,984,159,725,855,891,937,663,185,781,
656,449,978,316,600,241,355,760,299,177,057,470,430,082,852,635,606,047,112,
945,935,353,684,891,344,237,969,222,178,090,966,657,937,050,503,484,360,976,
396,102,850,133,245,638,967,328,661,638,333,465,656,914,885,132,358,124,458,
866,704,691,268,518,594,006,783,367,627,616,474,459,043,143,585,106,765,438,
113,129,403,640,692,402,699,366,776,929,482,754,113,130,720,013,066,532,601,
511,954,328,996,659,545,944,692,745,184,116,029,669,571,079,497,219,945,120,
503,210,005,644,811,766,982,361,163,445,928,818,511,709,679,658,849,853,212,
315,953,220,484,552,769,645,314,334,419,476,717,748,612,222,959,964,850,113,
516,635,427,203,189,946,085,983,156,914,089,533,228,922,029,854,915,899,162,
638,555,661,264,990,539,725,436,153,445,133,016,066,497,723,940,628,077,901,
650,531,140,922,649,034,297,478,368,156,799,406,144,056,120,387,148,455,481,
187,459,412,771,271,760,615,925,999,693,263,775,147,612,469,210,849,479,359,
248,108,812,600,768,360,449,770,442,899,105,932,547,625,239,715,460,332,504,
438,950,720,932,388,208,849,119,697,722,744,595,636,234,173,218,695,527,800,
097,025,307,997,737,469,093,128,156,418,480,390,364,902,508,447,987,396,543,
790,628,746,036,417,946,061,950,328,328,151,906,824,993,557,155,592,535,708,
112,976,377,245,638,896,008,385,383,273,416,310,560,841,082,652,636,811,034,
332,510,987,654,132,359,640,097,942,339,754,707,451,224,073,100,752,494,802,
026,985,506,402,446,852,974,560,539,365,974,330,929,541,962,159,603,514,405,
742,131,312,235,687,852,529,301,959,134,842,229,795,321,490,291,078,686,470,
448,610,690,423,067,298,729,859,199,244,808,333,595,911,083,747,400,832,172,
444,497,644,525,401,909,998,636,299,588,781,677,272,048,189,168,775,397,893,
399,173,186,110,630,536,491,050,310,064,091,802,638,227,867,662,176,939,734,
577,529,880,507,396,665,556,251,334,455,278,675,937,276,448,865,552,993,438,
640,790,029,940,039,905,173,779,670,925,874,935,431,366,862,134,420,606,745,
801,025,713,496,859,020,277,191,868,700,943,027,581,733,491,801,595,844,782,
023,844,222,678,040,338,183,812,006,320,500,722,280,191,303,815,011,814,824,
501,278,094,262,872,306,513,714,874,760,328,669,057,964,319,770,279,559,431,
971,937,675,282,340,644,330,194,427,010,889,400,771,438,459,505,876,239,934,
317,884,701,156,082,016,352,154,175,026,068,098,779,525,382,479,165,047,598,
111,449,434,430,982,957,942,924,013,477,004,953,348,703,303,853,878,525,371,
257,322,224,067,711,227,213,242,590,273,844,216,942,272,710,585,051,790,082,
812,813,323,189,430,778,606,570,743,061,937,196,476,251,474,933,213,912,233,
532,352,708,020,398,152,584,332,553,109,199,865,251,813,018,715,481,356,543,
004,929,100,249,013,892,455,241,838,752,520,082,505,027,646,606,361,313,163,
913,552,048,327,788,629,025,766,252,056,673,042,357,016,864,225,717,707,166,
774,250,024,108,019,680,437,818,642,192,226,204,223,137,843,844,139,729,870,
207,138,272,793,663,825,724,180,767,819,419,683,845,818,822,021,646,450,786,
623,880,439,103,780,563,132,719,808,484,378,035,581,491,970,303,679,046,456,
022,169,767,937,066,631,250,919,458,894,206,212,715,568,788,537,410,342,859,
872,321,999,554,255,732,530,636,515,054,162,343,134,213,932,627,315,356,228,
045,526,768,609,261,491,517,487,681,525,759,834,414,024,038,729,468,968,878,
430,027,772,003,871,926,147,529,641,947,506,546,279,035,437,377,685,983,358,
809,044,548,788,352,419,445,694,233,686,402,860,448,773,703,169,545,888,814,
937,195,378,844,663,520,266,829,565,219,570,825,632,085,141,677,862,711,520,
460,905,695,547,961,331,420,845,458,200,234,884,523,087,259,925,425,433,688,
462,199,455,659,059,203,171,208,901,475,707,470,537,395,957,691,777,208,059,
708,885,760,205,744,428,799,753,240,817,650,352,598,174,112,386,839,260,033,
298,179,522,167,146,422,261,033,203,545,081,559,693,997,166,364,365,064,676,
280,564,318,425,496,799,681,399,833,520,624,140,228,329,915,340,684,698,560,
880,238,968,095,445,554,918,301,262,157,165,118,396,505,502,067,671,251,056,
508,722,827,808,855,597,697,134,821,400,393,152,281,849,094,235,352,807,536,
978,888,001,722,783,150,761,668,894,916,656,167,595,938,744,983,706,790,259,
804,414,709,695,870,534,122,767,854,053,325,899,831,267,377,819,180,251,950,
607,062,053,260,773,487,336,477,932,967,071,622,911,978,130,175,241,250,528,
225,353,154,516,005,646,841,033,536,869,788,652,346,824,598,601,421,620,622,
724,834,159,352,656,859,834,422,927,165,782,254,708,408,224,349,566,726,066,
428,923,553,536,500,120,242,923,855,788,754,924,654,255,389,423,405,907,928,
720,461,832,870,605,098,076,671,311,899,295,566,752,915,001,651,449,239,330,
472,713,636,770,961,767,084,004,214,617,452,078,537,819,257,027,284,762,973,
181,562,941,676,977,271,684,374,023,231,894,421,114,726,200,226,945,956,809,
048,569,312,795,020,817,505,337,948,883,904,511,403,934,770,946,052,061,054,
531,620,348,367,732,570,616,423,006,359,200,440,150,378,982,419,440,953,018,
491,536,515,310,560,027,471,322,539,598,587,119,021,117,075,923,030,153,951,
911,542,413,908,904,220,534,905,177,498,291,794,661,032,849,435,830,969,871,
117,517,841,101,545,322,858,878,504,374,728,171,789,188,282,941,136,842,065,
461,519,867,578,105,663,846,420,174,518,227,950,437,696,287,268,896,297,069,
002,971,516,933,399,643,836,548,404,335,250,920,180,608,345,370,976,828,356,
847,708,060,960,967,647,589,650,927,513,714,602,517,096,947,485,629,282,277,
539,539,380,128,850,519,091,237,472,152,880,553,582,231,016,916,333,925,526,
393,816,459,018,522,572,095,688,492,731,249,123,440,468,740,401,041,650,487,
815,206,972,920,790,083,055,921,197,717,771,416,344,698,863,442,100,229,486,
042,118,270,747,615,811,787,348,307,535,837,147,358,590,584,383,275,011,768,
511,119,493,386,331,549,317,201,160,035,300,781,549,009,438,180,548,175,313,
065,638,479,402,519,730,588,583,634,975,374,059,622,247,412,601,663,259,833,
735,843,290,490,812,909,799,608,377,797,096,187,280,654,334,124,295,261,911,
795,975,479,837,488,915,245,938,332,532,115,680,732,731,717,744,816,790,032,
050,907,256,376,159,633,630,739,801,864,951,418,334,117,185,059,277,896,413,
074,607,284,515,665,473,241,956,410,123,659,402,399,470,279,133,111,209,582,
810,775,317,489,634,235,796,217,694,654,077,453,880,893,242,425,306,871,115,
600,456,704,370,741,163,750,360,890,017,103,333,314,304,305,055,375,412,682,
625,465,431,961,427,976,075,446,572,105,353,678,720,199,027,084,336,777,029,
565,232,941,706,549,820,960,657,000,745,139,079,515,556,329,942,630,424,128,
544,811,500,570,461,404,031,680,950,597,748,952,670,792,502,137,992,337,484,
787,462,280,714,814,891,656,522,397,978,027,178,138,107,768,843,803,311,555,
670,983,448,191,170,991,119,094,767,855,818,507,134,969,229,569,014,668,279,
175,957,725,122,531,476,806,220,998,841,952,238,441,180,209,587,948,133,132,
055,309,119,732,392,616,672,713,913,361,770,615,298,362,914,872,732,194,733,
973,555,357,491,439,133,332,208,782,513,124,366,219,069,860,530,972,998,554,
807,545,636,466,360,516,058,027,303,335,441,371,645,095,878,124,447,872,630,
584,890,968,927,287,398,345,720,972,029,025,652,892,865,949,666,600,572,117,
795,455,743,934,130,899,366,023,208,294,025,042,355,934,646,530,244,010,509,
192,987,856,220,772,496,528,005,022,669,609,179,502,034,483,627,684,636,175,
736,026,528,554,325,850,668,493,003,467,871,813,603,914,655,544,727,915,412,
200,816,901,216,670,837,714,347,348,306,864,702,961,978,088,509,880,729,984,
669,203,036,406,005,335,366,629,390,142,198,278,708,045,380,448,722,728,568,
280,340,552,705,978,450,939,782,353,273,613,241,422,409,700,156,071,040,320,
106,821,691,107,722,417,985,983,892,807,042,640,903,702,871,519,250,624,890,
334,284,734,636,183,067,191,277,811,549,092,576,940,432,140,545,900,512,399,
102,304,317,810,200,571,951,671,666,215,461,786,839,151,770,001,722,848,459,
960,151,640,961,736,334,776,391,176,273,143,416,163,444,651,735,290,872,963,
906,985,532,650,652,260,263,994,294,169,922,154,465,201,860,787,468,344,117,
738,150,266,686,360,666,583,961,906,589,071,926,020,629,264,966,143,344,033,
483,200,112,274,937,205,741,297,985,321,690,991,572,827,280,999,199,347,738,
810,429,632,320,534,295,165,274,687,827,830,511,604,210,952,309,623,046,776,
990,875,801,100,084,851,355,825,740,447,105,669,472,871,518,107,801,580,396,
484,534,286,205,286,371,201,531,444,226,579,185,426,593,335,998,172,434,036,
373,539,001,391,112,028,445,541,548,585,726,070,989,791,748,824,286,117,804,
672,323,957,827,566,755,336,848,892,666,103,556,359,383,697,757,329,141,583,
035,616,717,057,431,966,587,108,180,522,827,061,185,299,482,068,684,630,294,
840,721,663,825,462,666,827,980,425,337,938,023,649,689,526,012,147,464,668,
786,835,104,599,206,905,925,115,544,290,432,966,358,042,079,049,198,197,344,
227,546,777,269,150,225,814,758,757,448,757,661,422,639,301,376,665,825,087,
353,456,093,428,934,565,763,625,119,182,712,184,340,263,406,143,504,308,874,
873,635,647,219,297,048,662,222,806,913,232,432,005,188,590,451,622,233,847,
527,174,744,868,408,051,345,579,442,117,690,195,104,277,037,846,700,564,415,
120,652,743,289,618,162,957,706,921,784,665,375,380,338,306,543,638,964,848,
607,958,338,065,438,765,108,052,032,389,304,233,394,411,462,185,255,686,631,
687,598,868,288,810,964,087,553,364,996,003,344,396,371,237,674,046,917,400,
280,753,473,253,903,067,435,557,348,417,701,447,020,773,682,249,388,767,508,
535,921,380,891,788,446,274,274,014,146,843,329,687,755,020,054,071,028,897,
831,755,526,269,818,033,348,250,493,382,385,458,025,797,451,873,223,309,286,
027,287,821,740,114,028,266,433,727,402,324,539,697,603,657,079,472,801,805,
632,813,531,513,721,246,364,466,726,870,825,843,135,020,495,980,322,445,059,
753,319,495,503,726,849,132,131,158,120,416,872,696,840,105,209,621,946,772,
180,334,250,652,235,545,934,274,230,073,638,978,456,083,698,121,687,050,173,
614,762,178,904,766,084,268,764,222,383,291,198,092,939,424,330,850,581,291,
307,885,253,796,806,297,677,662,150,095,699,245,389,846,433,556,441,653,487,
113,691,918,662,609,812,820,960,093,751,683,312,858,730,512,175,344,602,270,
809,614,380,292,154,955,798,144,766,767,843,533,726,387,311,808,954,606,788,
501,812,149,942,328,998,094,475,045,130,018,273,454,279,024,338,580,780,743,
610,924,591,685,562,806,798,985,126,141,917,969,290,468,717,543,783,120,689,
641,174,624,704,983,599,414,412,921,875,295,160,417,917,385,795,228,323,635,
737,277,028,005,800,084,780,991,840,096,985,243,475,642,614,173,105,424,265,
518,518,551,230,982,737,478,894,917,354,396,404,641,562,536,835,703,257,120,
065,671,171,763,898,625,791,190,160,912,408,460,169,618,082,207,267,317,808,
556,902,845,484,487,310,741,354,624,657,860,123,403,426,153,387,462,735,326,
155,765,449,884,790,046,638,862,808,082,707,349,630,134,138,258,769,316,257,
809,119,150,782,015,015,264,554,578,602,801,136,249,904,249,058,776,519,485,
960,392,043,025,243,539,801,291,614,720,356,392,043,373,796,975,606,439,692,
609,502,515,439,244,452,134,889,999,815,206,858,349,824,963,332,599,226,596,
034,005,888,525,563,178,000,779,755,936,762,266,386,750,784,289,166,446,838,
684,153,617,418,298,974,224,758,758,811,091,661,915,227,294,617,298,299,993,
443,150,023,699,605,759,180,527,074,418,896,702,701,554,973,944,372,979,886,
679,994,245,280,113,905,480,587,262,200,897,163,357,246,924,849,012,134,388,
413,131,002,424,084,325,103,885,542,518,702,586,210,085,714,502,625,288,188,
859,279,063,246,041,883,680,427,151,297,604,769,833,372,183,199,522,765,051,
407,859,365,237,009,611,281,037,517,483,939,039,214,292,754,964,798,066,498,
869,349,074,723,706,923,835,460,033,463,018,115,990,666,278,074,318,982,205,
174,961,894,863,865,251,945,722,207,948,016,807,925,102,113,100,432,359,567,
649,825,021,415,680,079,940,447,020,218,800,071,693,670,326,339,315,282,913,
988,163,974,299,567,691,977,069,105,173,343,007,916,342,456,568,336,533,886,
393,613,082,036,197,257,346,334,551,593,974,551,041,942,766,524,920,000,339,
306,535,324,536,966,883,449,926,205,035,085,851,199,769,015,141,160,408,019,
463,305,645,037,498,105,049,268,196,299,056,426,460,897,645,991,929,069,443,
364,221,653,124,599,821,354,757,633,756,022,607,566,223,473,107,711,010,804,
010,476,746,322,885,952,550,854,715,484,136,367,412,519,565,057,678,321,026,
546,753,426,175,604,321,479,908,003,175,976,176,026,012,462,463,982,666,450,
120,478,438,331,685,902,528,190,593,646,467,689,931,475,885,795,847,267,038,
779,402,352,528,534,113,197,956,132,260,089,951,015,225,743,547,117,492,424,
219,960,890,852,659,940,830,710,586,876,052,018,845,946,247,518,808,012,474,
601,194,672,327,464,486,036,008,287,514,150,676,655,730,088,604,885,883,304,
665,604,753,768,329,040,719,356,403,690,102,660,658,028,670,158,634,420,807,
164,058,324,225,936,367,891,773,997,171,420,085,118,647,785,407,346,960,298,
753,278,576,370,397,740,801,128,315,431,519,629,697,716,549,169,099,612,880,
304,014,664,951,552,891,726,685,973,263,460,288,009,631,166,077,539,354,735,
960,174,126,977,400,733,593,995,173,599,430,757,196,441,465,628,269,378,335,
060,415,249,166,827,575,817,121,816,846,206,322,638,750,353,509,862,990,795,
299,942,758,066,349,240,950,330,721,411,149,514,276,632,806,889,563,861,898,
213,226,772,238,124,116,875,933,834,736,026,327,686,725,711,781,350,802,041,
485,141,379,468,245,105,906,079,548,971,293,729,758,954,653,363,751,813,266,
748,238,689,681,457,451,081,063,332,602,845,496,711,660,526,343,618,562,313,
810,257,946,461,014,153,494,209,790,241,787,540,682,183,495,423,250,070,736,
812,047,861,299,350,299,985,406,217,891,486,623,895,011,900,455,588,445,023,
791,799,192,408,900,621,046,464,497,436,294,637,150,262,796,089,577,182,385,
774,075,620,786,290,146,521,526,505,257,051,345,074,327,619,024,307,421,529,
605,652,314,891,405,992,838,346,274,456,967,278,126,740,799,826,853,055,308,
936,638,542,250,353,462,720,454,974,395,027,096,064,104,498,208,671,754,976,
123,017,544,178,231,849,722,051,554,935,998,915,833,221,448,108,885,463,571,
966,914,257,641,285,442,663,835,919,058,280,565,748,617,969,962,543,059,941,
759,164,061,227,118,404,137,088,234,326,010,374,363,219,573,870,439,241,414,
054,564,225,015,907,714,759,007,262,258,097,013,751,920,806,331,765,165,629,
942,305,492,370,995,191,511,875,363,038,988,104,205,641,321,071,484,483,009,
384,978,863,146,291,867,877,646,760,642,282,629,651,665,396,999,867,110,858,
770,516,542,742,075,847,360,500,214,996,140,779,012,347,304,345,451,237,242,
077,592,656,219,223,479,262,910,160,782,071,050,502,707,728,929,362,101,447,
798,536,682,248,042,323,023,520,996,286,978,998,221,934,168,096,999,478,037,
960,610,956,004,021,105,144,061,126,546,847,064,913,813,031,649,133,612,784,
661,423,066,732,989,399,646,797,339,101,531,194,418,606,250,857,227,887,602,
979,443,899,646,144,696,137,643,016,222,449,461,148,753,416,840,090,659,485,
776,590,974,181,508,354,209,493,994,213,890,080,386,921,061,213,151,216,589,
624,098,305,999,462,130,837,487,386,836,377,284,929,808,040,833,720,474,607,
035,342,024,607,317,320,631,315,241,030,068,990,899,120,356,941,949,949,554,
271,687,685,381,439,890,089,211,680,664,972,230,101,671,619,433,981,394,604,
404,631,823,832,047,960,074,480,848,452,181,760,139,811,422,874,260,194,451,
508,871,845,580,827,627,459,045,680,919,631,582,178,225,888,318,956,429,712,
953,858,209,122,406,640,077,312,325,776,574,175,601,266,261,570,440,000,919,
114,085,392,426,828,942,812,260,506,811,018,693,288,451,285,474,219,526,786,
549,558,123,008,207,708,131,004,902,195,813,127,760,341,950,669,572,273,941,
736,667,686,541,473,135,271,862,940,411,867,794,480,135,121,486,645,514,089,
873,867,535,847,301,776,347,334,437,902,218,902,208,038,314,631,330,311,115,
053,873,646,947,810,051,180,699,489,677,859,395,464,016,020,862,031,521,110,
564,498,799,632,684,480,651,754,114,231,715,680,001,533,457,631,542,311,853,
670,074,988,146,208,719,479,997,938,239,522,528,291,490,814,813,880,442,413,
338,883,125,849,950,485,225,718,213,765,214,979,525,632,615,678,890,732,882,
715,620,577,026,666,047,383,927,438,072,493,925,760,297,790,647,007,746,270,
027,912,291,159,382,426,908,540,803,661,877,675,340,873,280,808,691,498,375,
777,805,570,896,754,878,070,725,523,638,024,784,327,711,874,295,351,940,325,
234,074,490,524,215,501,982,375,665,762,489,924,206,646,288,873,268,151,009,
323,208,570,302,158,877,639,593,133,883,701,587,360,740,901,542,729,756,175,
026,958,121,451,557,284,029,562,603,606,556,272,818,825,748,927,054,567,515,
154,017,587,600,772,956,761,201,822,578,859,483,434,740,465,013,170,338,365,
745,735,565,824,124,108,112,669,606,295,221,472,667,837,574,055,974,547,100,
162,278,093,649,749,453,766,512,580,480,140,581,117,370,168,200,653,682,739,
513,248,360,577,960,781,841,926,919,399,367,769,325,389,096,957,493,459,044,
396,309,391,957,737,258,318,724,047,891,557,136,323,733,940,598,844,801,720,
986,297,354,448,276,769,900,070,922,638,221,698,960,361,117,489,179,149,447,
686,530,957,369,090,863,205,833,700,660,621,808,334,419,168,713,762,374,977,
959,587,553,580,213,502,625,230,371,528,778,136,534,766,339,382,242,427,002,
571,579,434,539,688,588,334,089,325,632,872,773,781,319,200,208,019,698,325,
323,676,088,351,460,699,176,812,661,783,907,550,442,191,460,999,138,757,316,
252,928,214,308,501,599,161,683,286,594,153,439,020,914,776,802,535,310,641,
972,076,699,367,966,128,528,712,620,342,375,256,769,287,368,500,868,089,896,
891,849,276,264,896,947,195,757,824,252,075,423,381,035,951,855,601,198,165,
721,183,089,636,600,808,478,689,161,643,745,075,382,431,355,988,167,280,071,
879,025,626,302,907,456,843,899,685,391,995,359,363,146,668,488,389,694,235,
090,287,329,824,028,823,327,252,659,868,093,339,068,129,022,770,992,096,833,
897,365,481,820,131,229,105,608,119,365,321,180,138,675,292,586,932,035,253,
940,032,988,257,744,057,408,654,665,608,185,082,550,526,520,718,442,185,044,
908,462,470,182,540,753,654,159,278,189,923,354,893,847,328,794,791,431,186,
489,754,368,790,183,317,846,240,686,945,670,235,268,416,096,057,996,079,360,
905,108,296,835,092,888,884,116,476,630,608,716,122,305,196,325,406,407,380,
701,027,972,649,322,948,419,313,867,801,348,724,594,349,958,431,634,252,822,
278,818,398,508,666,536,739,569,307,038,765,366,111,509,227,468,824,616,847,
309,761,580,830,419,187,334,481,287,809,436,051,049,906,278,407,173,037,651,
147,233,452,426,028,648,478,996,873,822,466,266,076,630,849,499,832,109,129,
836,818,945,701,949,236,877,752,590,317,797,895,890,456,446,657,989,499,533,
375,742,958,561,602,988,747,167,692,971,061,662,910,021,260,205,893,684,342,
204,296,362,985,090,875,526,591,889,288,464,701,257,462,111,578,500,009,605,
048,933,987,075,853,620,431,907,839,475,759,151,888,778,530,071,232,911,226,
879,230,811,272,713,762,537,202,500,387,024,446,080,065,874,947,241,567,374,
371,797,295,535,142,785,357,361,998,668,445,751,736,178,465,479,868,101,936,
039,560,675,391,696,419,787,117,380,665,027,249,272,593,241,371,805,398,303,
547,804,218,713,793,374,438,882,591,440,312,740,963,339,854,326,083,069,562,
961,202,548,057,810,905,579,805,193,535,117,648,131,926,363,784,809,214,143,
142,468,137,879,042,489,977,644,169,134,739,922,251,913,905,339,333,423,244,
473,424,588,571,446,799,104,867,417,483,784,561,028,849,989,139,866,697,237,
204,145,456,662,597,204,030,088,167,459,385,189,007,023,831,907,172,062,690,
981,810,051,515,714,971,906,430,220,822,060,008,052,568,639,813,542,598,423,
700,892,190,826,165,215,816,953,939,089,433,043,797,280,020,255,794,213,662,
813,144,913,701,537,284,127,157,557,235,324,963,758,587,579,481,860,622,800,
322,661,386,609,014,499,790,011,398,391,668,024,861,076,253,287,031,217,596,
840,141,243,001,621,822,525,003,243,742,409,246,633,119,294,577,832,545,028,
331,211,568,558,936,891,280,353,918,284,805,551,533,658,097,320,649,859,921,
865,252,927,561,696,307,231,722,174,300,943,612,790,314,540,362,084,605,321,
583,162,618,219,593,601,678,479,685,753,243,841,504,632,509,181,399,873,305,
483,971,209,367,685,158,182,385,806,516,251,434,683,586,024,573,034,956,618,
864,999,636,160,753,917,131,523,051,369,803,475,635,133,930,205,246,564,292,
079,818,605,553,666,151,956,264,021,442,930,381,218,234,039,340,246,945,942,
264,957,851,744,179,494,226,467,816,107,155,593,343,249,161,927,727,051,315,
484,208,474,380,025,676,315,708,689,091,181,513,706,238,284,825,395,825,485,
423,052,962,013,247,934,380,552,226,552,313,071,586,901,307,417,247,470,761,
997,857,770,478,632,567,720,537,422,318,173,798,209,821,814,125,355,662,103,
643,967,592,641,592,642,787,133,761,274,433,345,689,739,765,133,891,597,605,
706,474,568,160,429,219,585,363,537,726,218,486,969,449,163,593,976,592,474,
302,101,042,407,059,557,240,246,385,361,639,808,701,585,881,531,293,743,118,
109,737,756,066,493,065,036,489,220,146,648,381,473,500,961,270,337,419,824,
109,556,503,901,061,144,553,531,913,534,774,723,927,202,769,849,196,342,494,
936,977,189,958,361,759,260,873,753,805,153,891,461,745,374,387,887,846,356,
151,184,062,079,874,734,681,689,264,276,958,284,531,801,237,376,620,195,212,
498,205,002,952,955,537,327,472,139,254,105,518,792,242,129,557,910,872,388,
872,848,413,138,109,203,541,706,960,467,730,645,174,220,440,770,871,117,874,
644,512,010,534,699,784,505,831,006,587,496,609,278,058,470,573,685,334,422,
197,513,841,514,541,318,710,612,239,095,993,156,793,502,669,687,953,353,396,
101,947,691,040,433,372,638,701,601,620,953,808,431,642,918,169,985,810,261,
664,641,559,850,906,666,877,543,077,040,994,883,856,255,723,127,489,532,890,
132,574,230,897,715,389,127,233,440,915,339,636,296,815,407,621,607,815,463,
018,201,209,229,695,228,925,189,406,635,953,205,573,832,975,042,998,202,866,
225,255,816,123,596,930,443,553,121,368,221,627,770,965,065,214,827,784,379,
560,693,659,729,721,689,492,161,496,544,604,706,742,468,108,964,953,371,214,
435,201,465,248,041,869,817,033,118,963,292,279,049,811,654,296,000,813,305,
914,039,354,323,905,778,796,687,784,511,426,733,392,756,269,440,586,730,562,
179,290,026,310,991,448,100,111,436,296,453,017,594,473,125,900,866,431,416,
855,218,581,069,474,704,000,299,350,001,646,057,132,804,736,555,935,545,118,
768,646,763,572,509,754,547,428,805,711,926,395,200,247,439,800,139,251,919,
957,563,055,476,861,961,864,420,069,637,003,481,032,718,622,745,559,226,195,
964,445,297,179,966,972,460,327,924,899,140,984,413,404,071,756,858,092,019,
774,920,727,977,680,012,774,802,897,750,318,448,330,795,578,528,786,146,209,
168,366,977,902,368,279,919,378,689,409,161,803,384,609,095,884,603,980,192,
218,901,927,066,900,754,347,883,473,580,972,106,361,299,746,301,318,756,445,
745,699,840,290,584,064,629,463,772,162,963,489,048,941,288,043,836,000,849,
046,297,437,501,915,338,093,522,307,611,731,113,422,960,776,316,295,416,495,
275,331,237,141,534,599,302,483,001,615,604,418,665,507,029,374,771,312,980,
508,471,398,517,401,685,965,566,570,305,119,916,370,974,119,866,361,149,853,
111,258,635,746,168,658,870,781,791,970,671,668,334,708,645,418,112,149,243,
503,702,739,756,350,740,274,338,136,969,478,144,763,457,184,085,425,728,245,
895,416,621,273,289,997,011,288,475,299,287,570,539,299,442,225,013,945,798,
873,929,152,920,177,285,606,983,253,224,143,928,916,693,333,127,553,366,093,
011,541,577,813,468,093,321,456,288,638,956,523,670,277,242,095,252,455,676,
196,062,439,819,155,102,732,608,721,578,308,542,209,996,757,203,521,354,057,
833,075,624,335,051,135,174,041,515,004,001,349,858,116,151,986,132,366,901,
839,778,768,830,115,081,182,422,225,087,036,000,672,559,224,195,837,201,534,
365,889,645,163,074,619,551,564,522,784,499,710,920,577,337,038,434,111,948,
583,774,197,189,451,239,818,028,116,257,567,183,756,672,803,630,579,312,327,
353,183,981,610,506,774,550,907,969,753,409,401,874,249,032,231,732,099,169,
754,418,127,472,901,945,831,146,945,319,306,006,159,623,074,536,132,904,097,
798,539,424,688,260,894,399,208,879,381,643,742,253,413,723,914,280,806,070,
190,375,260,328,017,584,448,504,488,663,605,903,706,331,966,426,986,649,175,
253,188,010,754,773,675,785,202,874,927,185,859,571,024,456,267,291,710,768,
296,685,289,733,603,430,646,221,214,550,714,008,276,897,705,641,548,070,907,
311,687,839,814,715,338,292,260,875,885,400,272,489,153,459,537,294,919,129,
314,899,932,976,376,642,527,961,874,127,165,053,277,682,602,690,974,529,010,
884,545,283,148,762,974,660,857,169,294,079,700,274,532,381,274,221,581,206,
900,154,918,815,347,403,190,023,254,969,108,016,303,693,689,629,038,686,374,
055,284,762,268,312,469,269,141,456,853,186,422,643,517,797,761,037,277,468,
917,458,497,729,944,453,115,867,848,362,079,562,015,472,717,458,082,661,262,
925,517,890,335,585,426,664,922,213,096,300,142,704,820,205,905,221,494,841,
261,823,690,307,490,778,331,054,220,157,662,677,838,051,943,705,849,582,373,
425,935,795,278,387,170,100,315,466,027,447,312,851,416,028,247,344,102,508,
935,421,393,408,869,301,505,026,757,845,448,828,247,975,408,777,369,230,896,
105,513,907,416,707,954,007,954,908,382,938,302,763,892,965,759,971,989,507,
550,780,578,457,522,202,980,657,015,251,281,477,162,821,290,971,703,352,265,
306,968,355,057,121,654,976,141,442,834,656,643,954,688,818,939,845,615,102,
616,729,389,593,905,431,752,896,499,248,742,343,121,502,911,557,009,411,137,
067,337,979,718,700,552,027,096,801,060,693,769,107,595,788,354,998,512,970,
360,844,541,571,307,291,765,682,046,315,083,231,173,549,493,572,764,227,100,
781,141,402,677,197,481,368,144,764,225,695,644,703,104,190,873,377,192,418,
056,612,070,502,944,393,072,526,210,436,311,274,491,209,095,014,443,589,598,
530,562,545,647,992,596,847,049,114,970,486,517,076,206,487,069,867,552,085,
787,636,160,303,290,322,338,673,334,001,708,979,324,404,421,744,030,899,762,
176,649,609,955,909,490,085,110,385,358,694,992,810,988,833,160,269,786,926,
805,054,140,238,988,105,041,131,428,035,925,918,989,062,700,832,774,038,009,
560,265,335,991,077,132,744,474,762,059,873,750,226,261,562,175,862,302,817,
015,330,117,134,137,782,590,161,582,934,074,145,248,457,912,689,429,266,833,
144,450,843,573,198,486,378,324,229,563,597,391,047,482,011,249,515,804,962,
379,299,705,343,176,302,132,213,656,832,271,551,826,885,723,639,854,125,335,
005,331,937,814,845,601,599,182,483,855,172,103,695,972,928,340,595,659,874,
849,190,261,207,215,418,180,758,227,119,320,784,853,740,560,451,194,890,586,
215,402,657,242,852,184,604,354,801,732,760,273,392,538,775,023,331,068,102,
044,589,165,169,291,976,790,426,831,437,977,617,568,658,971,570,376,268,865,
251,477,822,362,460,594,162,844,292,194,175,642,871,849,567,914,141,532,524,
492,525,115,709,245,167,303,047,387,600,986,700,204,765,243,645,406,030,662,
833,174,873,311,025,959,396,233,499,292,719,651,128,761,466,792,551,647,952,
904,557,955,742,617,439,441,223,293,550,590,399,988,415,497,451,886,648,095,
486,278,156,228,675,975,055,166,107,513,617,262,684,955,958,015,974,906,307,
988,846,048,656,182,306,674,740,949,549,628,259,064,560,315,768,461,620,880,
457,079,919,352,465,451,446,130,172,879,495,817,347,607,289,047,705,636,682,
764,176,422,803,254,527,361,895,394,668,954,786,161,095,726,473,955,179,511,
871,310,890,549,838,511,866,890,689,704,682,054,118,061,995,708,195,403,001,
331,552,452,043,405,519,540,906,615,423,767,367,092,828,311,529,260,010,869,
783,941,651,682,463,277,508,836,035,457,534,341,737,060,727,567,003,302,916,
553,894,044,495,986,520,012,706,205,046,483,153,320,898,410,464,676,828,449,
095,238,962,171,289,148,471,168,168,018,373,198,170,830,548,291,602,752,440,
952,048,926,104,156,523,303,620,326,362,739,093,625,622,021,489,658,228,499,
503,457,663,644,541,593,555,323,038,928,171,527,731,847,155,254,401,158,352,
386,057,840,927,222,605,000,416,973,635,918,659,415,298,933,954,766,558,487,
721,826,824,379,764,618,804,248,346,069,513,328,940,763,004,011,668,037,948,
280,504,880,740,951,939,510,278,343,370,785,022,298,259,340,316,031,746,515,
572,844,967,648,019,025,733,445,174,984,188,452,137,669,566,833,149,784,515,
872,891,732,036,892,879,649,491,729,778,446,612,093,216,590,906,683,813,031,
869,435,520,997,343,778,045,381,094,387,738,619,647,792,263,439,126,078,433,
727,481,126,286,031,826,285,054,255,948,052,422,026,247,553,204,795,639,486,
384,852,694,367,309,764,149,283,495,487,961,951,954,918,085,212,471,223,809,
970,132,909,483,770,628,586,424,457,012,609,500,011,595,122,043,494,430,949,
651,397,952,965,749,337,250,452,832,615,982,623,132,471,454,239,776,818,582,
395,855,722,037,040,485,427,422,258,997,631,925,121,044,881,318,714,250,290,
448,670,692,757,889,460,438,838,205,473,603,296,707,656,588,406,601,681,628,
150,706,853,941,116,389,696,815,840,576,444,913,829,149,931,059,984,558,011,
964,343,362,033,144,047,280,146,057,800,210,877,321,836,889,209,589,456,716,
719,762,890,380,492,622,381,604,791,471,419,673,321,919,315,140,567,647,810,
293,996,682,258,839,076,756,469,434,657,307,631,607,406,081,799,811,881,491,
086,602,192,756,345,010,853,255,099,808,744,646,402,324,827,564,451,280,360,
912,087,626,176,039,112,992,148,414,361,503,415,453,401,532,912,693,480,972,
445,413,800,813,650,321,120,611,070,280,583,760,174,068,249,683,401,409,408,
279,953,988,470,108,637,222,358,959,440,044,237,433,706,837,511,161,166,354,
274,369,540,543,013,740,081,192,883,322,453,859,892,332,169,851,499,981,691,
216,106,651,669,168,670,165,575,812,765,452,608,627,026,790,406,133,202,141,
559,594,094,704,780,030,124,451,938,651,943,823,735,659,903,750,174,810,458,
281,466,746,549,503,583,460,130,151,857,346,954,384,693,280,300,659,835,199,
745,283,737,477,463,344,977,040,835,447,994,427,303,824,480,193,868,082,765,
471,687,563,377,974,699,788,220,826,995,695,810,519,416,638,099,975,922,071,
732,592,753,445,133,889,532,042,849,008,580,153,019,490,897,684,132,328,623,
473,549,990,210,592,537,310,272,199,782,456,514,650,207,784,830,795,689,094,
836,284,445,417,919,156,441,006,189,937,662,101,439,828,612,804,291,764,551,
143,119,023,409,757,745,980,145,387,678,910,068,704,883,295,037,085,958,949,
569,177,224,416,698,669,303,696,781,915,016,615,425,661,791,615,025,592,857,
717,985,632,430,931,249,122,661,913,601,944,525,134,074,404,346,962,250,740,
707,709,338,528,778,546,185,732,054,251,929,225,577,737,512,430,427,932,621,
935,121,431,213,005,628,818,418,587,091,071,864,447,559,598,370,470,786,105,
334,150,500,847,440,753,816,613,811,853,202,328,354,272,473,859,155,504,671,
133,242,846,683,889,022,720,874,730,227,384,153,496,491,626,427,627,795,975,
737,118,876,014,851,714,892,494,138,060,967,526,374,877,946,043,275,637,962,
635,600,516,378,541,735,293,284,804,503,427,288,902,125,205,428,490,116,253,
941,448,542,088,931,341,544,617,526,260,877,066,468,385,471,619,013,153,273,
966,646,633,860,986,416,063,870,150,022,376,192,968,459,779,725,050,555,827,
226,699,428,275,893,921,424,780,746,831,955,107,089,264,711,990,654,756,448,
444,469,568,736,488,469,311,000,077,186,416,199,879,108,776,380,578,816,242,
138,220,516,465,644,868,544,762,130,487,540,992,944,768,710,325,122,959,165,
150,513,820,289,642,039,789,978,924,317,669,208,963,643,639,563,133,622,362,
213,769,165,918,824,204,757,559,959,364,735,420,800,271,730,123,881,189,271,
980,069,794,059,642,336,551,334,365,410,936,705,708,229,445,367,965,900,122,
567,444,049,267,678,337,693,085,186,949,342,802,883,661,616,512,125,995,037,
323,702,999,259,038,889,096,408,468,331,899,128,565,837,358,928,228,724,257,
103,817,551,505,902,511,061,488,368,837,105,097,169,099,412,396,058,811,902,
772,430,940,940,431,406,560,248,294,274,822,498,579,713,511,484,476,649,364,
323,265,579,215,703,002,055,167,850,032,937,601,823,393,867,344,686,544,820,
498,558,411,061,329,290,980,224,897,505,014,405,225,848,722,034,072,502,237,
460,030,894,690,325,400,135,042,140,294,448,565,333,947,558,148,413,849,835,
745,324,150,119,037,002,126,534,985,603,549,690,601,646,210,503,587,326,642,
853,059,107,229,449,302,945,962,779,666,132,046,470,807,754,592,172,329,849,
486,422,268,600,282,717,127,907,932,093,212,844,622,456,994,230,315,953,930,
475,151,506,625,152,818,852,267,907,516,277,060,950,729,242,517,834,842,261,
946,260,056,182,244,255,960,236,490,733,477,840,740,069,954,633,895,865,945,
871,871,170,554,813,480,143,858,485,260,362,551,208,174,413,357,361,712,396,
058,698,983,241,746,363,103,005,082,290,400,691,893,362,927,340,751,627,822,
424,371,174,041,890,760,925,327,864,876,759,345,435,858,346,773,918,503,004,
722,806,192,170,757,715,568,323,230,178,358,450,039,661,330,573,152,231,964,
348,192,306,952,246,057,000,433,161,700,857,152,466,116,141,060,735,675,606,
082,068,497,744,825,184,628,027,474,719,232,017,002,365,312,226,732,373,064,
740,105,119,529,104,957,821,840,694,264,042,979,945,456,267,386,154,403,521,
322,116,628,224,653,968,807,580,982,333,875,213,821,731,045,028,355,973,197,
486,447,443,129,658,598,229,413,480,958,872,909,708,834,837,889,918,350,360,
495,517,787,140,055,136,239,856,298,890,128,530,637,819,567,150,295,742,390,
220,931,126,326,035,917,191,418,307,604,947,818,725,215,917,046,574,997,013,
878,611,932,519,240,154,764,351,174,163,157,268,551,399,514,750,965,388,254,
334,745,749,017,593,037,279,896,749,659,297,753,347,757,264,766,203,630,388,
964,013,876,438,143,738,423,785,163,690,306,391,843,890,769,741,191,689,813,
474,630,060,059,560,454,713,944,961,845,841,657,548,497,073,449,288,388,735,
992,078,603,767,872,508,773,212,582,400,159,572,103,508,513,866,756,657,805,
566,033,665,526,361,097,999,484,098,140,863,689,258,061,425,697,740,949,045,
990,433,126,784,190,804,216,211,305,621,784,506,351,721,656,739,949,196,528,
797,534,869,153,676,284,922,432,095,898,773,337,326,056,573,098,503,953,819,
386,897,975,406,336,486,417,974,020,002,050,110,157,194,910,930,874,905,880,
537,250,081,530,193,375,391,308,513,637,323,221,122,677,628,828,349,795,125,
607,526,889,833,208,388,660,609,839,360,855,391,521,417,824,063,363,566,188,
279,640,698,330,136,275,149,221,564,964,863,727,815,780,295,972,517,014,080,
045,923,070,022,000,905,125,971,512,658,597,286,364,884,063,868,599,045,487,
926,028,031,148,582,413,495,384,309,752,727,154,475,360,290,929,341,115,491,
506,320,888,806,522,959,170,953,127,395,090,651,106,047,746,649,081,255,889,
263,435,665,584,236,690,338,929,289,375,079,401,633,792,497,073,186,501,412,
070,095,564,496,149,527,044,714,976,333,861,257,003,318,964,855,675,721,673,
644,181,885,520,707,757,640,748,289,089,365,489,794,079,294,594,482,231,097,
451,148,413,376,764,807,375,230,538,894,388,941,289,178,311,153,410,423,702,
907,088,342,934,315,347,817,384,073,592,930,849,682,524,255,068,588,579,045,
027,964,598,272,950,883,779,324,593,402,305,061,970,817,126,160,707,779,624,
863,386,954,441,574,598,311,734,705,800,763,174,226,029,654,869,577,379,596,
580,089,601,730,149,619,967,660,944,524,794,429,878,618,469,227,757,671,536,
243,341,504,165,123,201,244,980,903,514,346,847,787,490,189,582,280,713,155,
638,303,875,012,922,177,840,156,413,891,124,081,060,391,761,163,188,413,372,
395,192,002,793,117,392,112,959,563,136,104,292,453,001,447,075,843,241,624,
609,898,340,275,466,779,300,720,119,723,196,481,068,538,496,491,643,020,679,
755,567,709,566,938,723,942,131,512,969,441,438,939,937,084,705,009,722,102,
268,418,339,514,111,583,554,934,532,906,480,049,250,805,010,173,811,280,789,
020,524,412,185,249,628,413,824,348,627,977,233,669,493,792,139,842,392,825,
659,040,965,365,778,894,284,452,842,690,153,659,396,287,451,385,115,860,977,
414,574,327,160,472,653,200,935,735,517,539,903,541,938,810,502,012,164,133,
959,045,498,064,563,867,078,650,600,830,574,131,057,770,508,371,329,437,037,
170,573,641,733,161,404,080,070,485,982,328,122,771,987,041,994,133,534,344,
660,407,681,395,189,184,743,182,460,840,812,022,591,506,617,454,134,969,264,
660,611,377,023,307,617,771,330,373,396,164,243,179,122,793,540,477,827,996,
565,960,365,774,846,697,545,451,710,926,061,841,752,192,617,573,416,621,113,
782,663,128,662,708,434,000,449,319,417,731,426,240,053,367,535,790,320,370,
856,447,765,199,988,435,242,779,556,243,130,951,783,317,882,008,083,488,005,
666,799,110,276,640,320,800,596,565,619,674,432,992,936,071,172,138,401,087,
456,964,708,535,658,436,615,287,415,408,099,394,846,990,650,711,902,202,266,
681,113,863,084,229,942,169,237,022,822,134,073,313,645,708,864,409,181,890,
280,809,367,582,392,056,028,417,199,507,086,125,212,549,268,492,811,687,954,
617,805,586,573,944,358,938,434,774,953,464,458,233,947,576,264,757,832,197,
984,525,018,510,477,494,966,476,391,334,622,532,604,013,515,032,792,726,018,
460,784,129,769,029,496,828,271,311,293,969,292,122,177,062,950,769,481,969,
809,354,491,713,101,734,583,961,896,738,630,052,061,182,790,876,942,071,018,
688,620,422,685,806,126,239,024,158,136,873,161,885,204,266,657,167,927,372,
048,137,581,801,740,220,817,262,635,287,077,506,063,734,030,546,344,804,096,
429,284,455,255,349,956,075,734,583,860,888,033,482,875,916,294,495,071,316,
317,898,846,524,132,131,398,315,098,893,292,235,651,854,304,177,586,810,134,
056,237,380,936,340,568,815,304,402,310,498,667,424,869,911,542,639,463,789,
919,517,888,828,333,450,933,959,851,810,848,035,156,721,426,805,997,652,321,
896,609,546,644,873,721,157,904,781,938,784,534,439,496,144,249,106,377,161,
132,572,521,113,808,112,216,561,120,454,506,120,434,411,068,996,970,467,334,
815,211,994,767,543,174,875,799,615,528,599,216,071,027,870,891,263,216,840,
602,119,366,406,311,698,154,997,298,924,601,189,615,802,493,715,570,712,436,
436,896,301,708,833,297,840,903,617,346,151,808,988,767,686,329,962,585,436,
733,246,048,098,240,157,048,550,093,227,565,396,624,446,374,035,297,352,960,
063,725,926,686,058,885,605,163,667,406,784,852,131,434,317,479,972,004,812,
372,358,618,320,350,689,872,122,993,834,136,722,807,096,036,325,862,674,718,
780,402,827,293,582,682,976,541,078,607,008,101,331,749,364,690,087,328,146,
892,083,227,149,905,568,238,271,496,850,552,803,602,375,456,430,135,650,747,
836,964,142,270,749,392,190,517,973,273,225,247,899,110,078,553,878,490,408,
719,945,657,845,373,067,595,271,626,518,634,570,116,727,077,784,531,296,702,
137,794,008,894,366,202,668,705,659,025,247,554,451,480,907,504,392,954,805,
336,421,755,775,150,520,953,982,585,559,875,347,768,367,220,020,232,207,753,
123,565,347,312,323,823,884,958,216,970,675,230,764,186,837,777,081,095,902,
156,372,824,821,825,504,517,902,088,901,764,102,409,743,036,002,403,651,155,
909,037,451,290,985,594,671,225,852,411,108,807,552,770,487,256,288,678,616,
129,361,983,643,134,742,763,236,310,811,576,405,264,119,472,006,998,978,403,
427,585,885,244,003,771,527,025,642,460,073,659,579,213,570,281,468,706,604,
024,100,390,949,573,481,297,843,383,597,529,642,559,764,050,731,579,781,676,
772,724,435,863,892,970,343,972,169,320,432,964,321,992,482,577,054,391,183,
643,551,668,209,333,293,409,925,036,122,628,109,200,532,795,946,318,017,906,
338,503,877,463,277,616,123,020,362,806,880,740,297,533,728,959,468,488,325,
286,324,248,836,446,142,239,961,547,892,976,460,805,919,230,134,047,104,557,
234,621,289,116,450,286,154,471,400,668,209,459,142,990,744,063,943,332,941,
116,095,741,092,199,039,004,897,324,476,129,597,243,487,832,421,885,637,896,
375,276,119,810,478,197,085,183,948,410,624,250,094,561,120,738,170,263,210,
210,429,372,035,938,987,280,794,723,768,155,273,387,679,761,173,927,324,765,
834,699,889,297,739,038,568,688,263,141,139,315,733,497,411,807,498,138,481,
036,609,789,089,835,569,157,656,153,557,358,702,506,797,658,832,080,995,523,
476,503,792,399,544,863,131,819,570,690,118,777,917,479,297,787,218,967,372,
651,527,045,372,732,213,090,668,909,121,123,731,987,887,609,884,680,039,329,
343,873,505,953,824,575,589,025,362,038,399,328,536,139,950,236,781,212,293,
148,230,267,796,444,162,743,071,138,560,853,365,959,380,140,406,629,000,189,
713,876,818,447,022,017,861,832,319,373,162,621,908,750,623,620,983,784,801,
213,854,114,575,080,914,086,545,500,569,299,647,476,949,180,683,750,048,257,
227,500,753,196,059,057,527,535,052,960,397,197,650,680,071,313,279,456,645,
256,154,356,063,383,091,138,388,434,052,828,890,269,175,748,564,810,613,025,
904,666,865,186,002,035,710,176,296,133,533,114,547,788,835,704,214,607,932,
330,988,286,248,397,174,210,342,865,566,639,591,967,073,414,867,349,164,124,
014,957,153,948,915,842,935,921,966,982,393,910,208,250,458,753,530,006,955,
524,486,235,426,539,560,610,746,951,531,683,282,664,463,403,582,305,679,008,
937,588,566,746,842,685,628,112,068,691,077,465,672,470,638,324,744,956,230,
462,929,406,440,610,671,943,070,076,054,377,439,325,849,392,321,240,533,321,
335,529,621,807,885,933,908,595,356,338,336,329,478,704,012,429,266,080,707,
307,791,287,920,047,993,992,881,729,954,667,274,577,592,949,064,795,702,511,
753,415,382,832,167,659,185,078,877,097,622,926,477,099,739,885,027,442,591,
993,517,939,943,874,419,791,702,574,703,617,303,067,242,124,593,427,199,398,
408,533,923,140,237,444,012,732,346,036,840,492,204,228,348,535,002,679,661,
738,815,247,585,579,396,605,437,789,587,230,325,242,086,862,125,077,689,588,
553,417,183,300,257,127,853,392,586,579,696,655,278,159,293,013,866,745,365,
211,448,235,013,843,897,749,090,091,766,833,311,873,648,341,929,802,807,611,
725,756,583,027,146,873,734,930,687,602,508,534,637,777,168,764,356,385,846,
644,823,460,407,114,554,095,063,956,246,557,628,062,064,488,337,667,730,291,
894,916,430,748,043,715,786,755,699,511,087,845,852,278,694,208,804,404,064,
897,966,678,949,323,813,568,761,047,547,766,471,138,376,990,347,583,838,300,
990,000,318,123,081,939,017,597,070,815,226,816,124,570,856,439,109,486,502,
490,598,005,342,822,073,348,492,948,099,951,575,867,741,859,614,975,654,259,
846,813,348,513,239,003,583,487,152,826,661,391,262,402,826,842,704,314,843,
890,292,263,447,620,436,525,070,121,315,496,292,521,219,332,313,803,057,483,
281,667,036,823,174,979,712,216,237,434,485,650,017,913,729,452,446,271,601,
019,145,533,386,955,253,391,345,039,611,052,919,482,969,632,420,948,341,863,
643,041,595,937,306,071,532,263,747,100,705,731,792,628,111,210,851,662,417,
737,295,053,371,860,356,143,452,343,984,910,047,552,916,013,713,996,993,035,
957,292,907,038,096,920,256,258,943,849,560,698,816,042,780,173,300,246,234,
494,140,045,418,533,882,138,478,829,466,244,729,373,210,291,115,460,420,053,
576,488,883,757,693,783,671,185,980,570,527,157,520,032,092,349,909,074,417,
799,138,867,634,773,252,851,264,106,558,903,778,847,762,058,089,743,913,553,
938,503,046,930,596,625,641,432,189,876,258,211,057,462,281,070,609,815,323,
608,110,113,374,011,482,026,712,339,075,241,302,227,196,799,037,712,957,188,
499,824,856,344,412,450,037,889,854,057,044,602,947,854,839,759,435,864,066,
264,555,607,232,273,935,480,602,838,414,987,131,953,315,611,081,524,214,198,
794,151,876,503,487,678,705,064,251,863,842,980,266,350,226,523,910,930,970,
390,514,925,048,485,320,353,823,386,201,338,401,115,386,776,367,766,641,531,
148,291,862,027,357,983,677,193,846,519,858,089,517,521,793,001,307,687,751,
026,214,062,479,868,069,026,877,436,685,936,609,540,116,196,716,948,496,889,
618,591,290,014,637,689,247,463,730,729,524,289,291,307,237,532,489,297,956,
306,195,135,319,973,562,874,522,946,683,773,121,274,497,266,764,288,309,969,
158,654,684,621,572,740,283,497,645,087,757,288,242,630,575,183,465,301,046,
303,903,696,719,389,801,122,608,942,105,705,101,819,600,563,214,236,714,540,
916,979,929,443,622,794,368,002,209,269,823,194,904,084,189,489,637,329,219,
808,204,019,420,686,681,898,596,198,716,951,256,577,929,803,578,380,670,211,
739,810,257,644,039,208,738,367,145,114,265,072,006,431,364,146,354,502,687,
635,867,203,785,683,905,756,944,021,410,615,955,920,927,794,847,354,829,871,
582,501,742,277,799,995,471,215,762,681,170,871,058,532,546,251,411,087,050,
123,238,353,758,610,607,655,737,699,102,521,539,556,735,258,253,405,826,837,
702,387,440,750,540,474,571,549,692,183,995,018,136,525,714,192,460,764,510,
870,993,499,941,972,951,870,050,013,730,796,932,396,911,384,181,408,495,919,
334,132,113,488,940,377,587,817,808,104,080,089,365,123,775,120,297,728,141,
709,525,009,719,150,266,376,296,418,240,548,340,472,302,453,540,504,479,650,
548,537,823,582,761,575,854,168,144,870,568,320,339,278,426,373,060,503,873,
130,837,684,291,499,899,927,583,798,184,472,370,254,598,764,529,866,362,414,
868,370,682,546,112,256,530,360,824,941,653,464,112,392,300,663,242,753,496,
967,738,407,112,072,972,255,123,437,443,923,892,774,147,262,316,933,147,437,
973,268,668,110,511,853,400,225,774,757,191,158,436,193,509,282,200,084,001,
402,780,888,122,614,758,002,987,649,300,221,896,291,727,630,607,253,107,761,
187,048,313,794,961,147,711,814,874,033,766,915,521,381,224,558,146,336,050,
086,315,855,214,680,086,135,091,169,447,543,434,610,886,047,549,532,825,966,
547,408,974,615,197,673,435,611,371,880,616,480,168,000,699,081,509,382,177,
923,913,295,376,186,316,975,209,743,747,886,847,836,012,092,773,724,649,492,
353,191,713,760,520,624,815,418,991,788,972,540,496,247,842,874,808,945,131,
633,185,474,027,957,152,235,797,669,412,288,348,116,844,119,430,669,365,433,
674,352,548,560,312,519,157,054,679,565,358,700,727,587,887,791,260,174,851,
943,620,108,577,358,069,914,266,714,513,188,093,192,566,136,378,935,277,866,
068,409,283,728,609,800,983,232,428,759,488,262,102,317,126,915,793,711,138,
913,409,848,960,092,363,708,286,094,611,993,149,582,642,867,435,143,474,341,
500,676,654,177,000,028,832,070,282,575,526,375,404,716,709,988,874,980,447,
398,381,564,626,475,239,714,924,622,664,478,468,961,295,122,719,685,575,711,
677,616,294,806,671,951,930,902,622,893,651,831,635,923,310,428,263,085,515,
865,824,325,765,907,044,239,728,101,247,190,106,384,745,388,935,332,276,866,
735,144,565,252,761,546,265,833,645,348,803,207,907,560,574,134,366,894,389,
746,329,632,111,760,370,287,021,781,861,643,064,537,314,941,838,675,337,163,
603,159,843,537,015,481,381,338,492,826,938,634,945,109,427,484,782,333,586,
197,495,777,218,328,268,269,032,036,871,913,484,632,706,295,134,065,386,184,
191,660,358,142,989,577,572,923,139,031,856,943,912,186,851,116,779,190,983,
491,314,177,973,368,788,262,193,278,228,474,587,638,364,903,645,545,103,527,
664,137,948,397,423,195,555,655,653,585,533,626,397,138,790,049,463,751,682,
401,360,632,609,837,544,071,223,387,667,687,278,623,495,272,384,102,261,973,
280,866,907,581,842,663,869,604,683,425,173,952,628,493,893,246,895,500,516,
870,745,597,611,031,743,422,421,392,099,788,079,769,771,675,982,801,284,619,
079,943,159,147,118,184,706,924,748,106,993,778,357,039,918,469,699,108,720,
050,176,410,710,036,817,017,206,773,001,621,348,546,987,189,138,437,854,677,
773,900,849,498,334,073,129,811,549,123,630,769,988,078,955,293,797,957,904,
606,838,105,190,893,238,534,978,789,998,260,543,247,965,783,077,722,474,852,
077,297,168,011,483,455,071,914,288,242,060,973,118,680,032,033,792,721,695,
713,575,591,479,756,053,738,554,800,296,562,003,941,516,300,943,332,790,148,
205,141,066,353,576,491,367,344,315,091,185,380,965,618,400,058,270,513,486,
261,612,895,645,972,520,071,966,087,753,465,844,794,339,840,103,597,212,850,
640,057,009,787,686,454,159,130,977,693,182,274,737,400,367,156,004,393,964,
636,056,697,577,149,927,421,577,421,013,161,182,691,739,968,823,755,029,203,
924,705,300,194,176,743,743,500,974,961,063,052,655,962,217,333,548,008,089,
610,643,836,083,187,134,616,325,988,326,133,382,424,104,413,928,121,505,075,
666,336,178,882,838,710,982,484,627,245,216,954,436,669,027,122,345,707,985,
719,270,328,883,572,343,521,985,168,754,064,194,586,450,477,811,155,441,330,
212,640,522,349,904,857,940,017,017,765,972,597,761,267,886,459,778,527,483,
127,082,631,545,357,066,751,015,689,325,280,630,509,237,067,485,611,744,038,
992,897,902,110,510,870,369,751,741,071,244,454,477,856,310,867,513,143,687,
584,354,175,993,642,146,811,529,812,910,924,853,936,374,043,004,312,341,991,
284,340,686,864,311,632,560,263,519,826,875,660,690,580,290,549,738,121,075,
606,088,615,759,981,292,228,578,554,941,259,912,633,675,749,423,718,113,581,
157,104,561,215,691,685,421,390,578,447,532,512,129,591,001,355,374,409,514,
510,972,612,436,391,002,035,062,208,095,423,128,341,292,158,390,962,204,052,
551,336,222,028,610,391,072,067,307,715,238,205,341,250,950,327,639,134,172,
305,885,647,231,112,056,817,392,912,497,539,452,818,145,881,113,586,722,607,
750,681,319,396,037,295,133,943,198,968,349,379,434,146,372,810,159,138,335,
369,618,161,529,885,221,740,484,998,483,243,049,679,756,696,427,491,539,883,
207,494,276,137,448,394,000,232,287,184,220,359,827,259,205,126,674,986,599,
690,077,248,638,850,765,034,946,308,718,092,986,179,701,788,815,711,868,677,
895,304,739,959,761,210,258,207,631,868,816,728,234,088,178,727,019,520,302,
830,769,324,529,097,117,000,809,883,754,757,253,994,120,994,048,803,398,965,
689,968,886,765,524,171,488,594,065,688,050,359,362,600,944,488,601,242,450,
303,732,271,006,875,631,646,789,919,609,409,634,409,824,935,948,052,628,117,
614,830,248,091,490,446,490,510,731,124,581,957,333,228,768,971,195,872,839,
272,836,721,094,765,496,265,122,520,432,405,531,828,565,229,751,539,909,295,
649,499,280,738,303,297,194,555,915,137,612,164,001,136,830,253,788,174,216,
566,313,701,829,557,506,102,150,285,202,114,767,604,968,752,868,203,463,286,
248,650,891,764,925,637,568,041,981,822,572,960,527,316,246,994,033,724,147,
198,368,310,675,794,843,901,315,674,940,002,006,909,169,290,378,061,267,757,
719,278,729,085,506,398,132,913,029,299,114,054,403,815,513,855,773,453,335,
434,109,276,745,542,212,166,122,758,224,417,203,958,154,609,161,845,102,329,
076,360,922,775,022,075,515,859,297,128,769,024,197,302,531,302,830,519,850,
268,928,892,674,252,939,046,761,885,018,705,670,417,485,116,272,534,261,065,
791,998,229,747,401,257,470,866,155,469,490,054,977,305,059,429,091,272,312,
535,370,741,543,258,991,619,278,984,286,632,233,307,875,340,198,603,775,504,
954,454,519,189,845,080,274,179,389,304,590,796,750,211,028,357,478,496,178,
622,096,597,860,533,948,077,163,207,835,930,490,451,406,571,726,978,576,562,
820,300,623,000,973,346,424,266,472,087,332,846,570,921,019,638,732,654,796,
901,040,796,638,492,662,800,050,907,128,956,808,910,989,369,476,393,328,061,
587,549,342,873,948,523,411,794,743,740,777,965,813,851,284,014,006,214,329,
776,227,155,549,208,000,771,202,472,175,265,925,377,306,113,001,040,870,371,
090,948,508,499,265,097,572,186,401,538,251,197,928,755,965,368,209,432,965,
640,649,443,045,469,353,020,887,608,591,294,576,055,168,456,984,076,883,666,
519,427,179,037,417,139,192,763,089,976,298,284,260,531,506,709,532,299,877,
783,574,291,950,401,571,696,506,799,579,620,551,756,026,235,959,496,492,933,
903,102,624,249,431,507,632,103,076,005,191,135,937,373,659,506,956,961,050,
842,864,803,103,541,047,036,651,179,655,619,244,364,733,317,631,865,543,743,
763,515,396,665,733,883,862,809,407,725,823,660,789,971,478,408,291,318,412,
328,109,727,776,342,632,555,957,564,553,355,513,813,822,090,402,300,621,549,
772,206,298,240,315,806,884,541,802,479,402,654,302,357,903,050,602,249,652,
398,078,137,402,905,918,174,961,796,106,677,787,565,683,715,440,045,593,984,
504,947,398,100,962,220,241,851,143,735,920,802,334,771,818,604,044,776,748,
336,438,096,813,659,510,297,855,563,712,906,467,124,556,227,941,112,583,706,
282,201,922,159,189,874,325,866,307,645,715,179,648,824,859,957,252,449,024,
546,465,438,349,978,988,166,388,725,491,442,196,336,000,770,037,116,760,848,
032,802,269,187,573,824,679,343,309,404,439,549,305,479,967,023,680,823,468,
970,724,556,594,577,590,520,510,272,971,878,004,812,365,832,886,469,859,142,
217,821,849,956,644,596,392,905,157,416,699,625,738,399,042,259,693,472,425,
016,666,172,520,916,250,887,630,769,992,890,645,518,778,083,622,405,896,552,
957,843,801,094,687,976,696,791,143,638,040,047,200,230,979,577,081,861,333,
942,349,101,563,053,898,365,474,014,399,767,303,146,717,239,270,487,597,914,
331,863,056,681,952,737,118,007,391,035,948,807,031,395,481,270,077,069,835,
702,357,475,538,145,533,387,821,673,398,551,443,304,397,391,011,186,621,630,
934,501,599,745,759,671,276,493,445,951,805,366,060,297,787,935,075,093,672,
476,874,704,717,086,222,135,421,602,207,027,396,925,790,607,095,439,654,170,
805,844,905,199,471,775,938,684,439,210,449,332,883,044,994,007,431,337,582,
817,998,257,599,487,682,775,772,524,240,050,035,557,208,961,126,398,792,412,
735,969,869,095,027,997,309,513,362,937,456,777,581,518,684,247,863,291,528,
704,154,627,719,489,842,332,150,845,495,346,415,477,015,549,156,330,623,294,
624,436,232,540,901,524,126,546,395,244,347,429,527,266,497,086,332,138,875,
830,630,736,590,791,423,906,723,695,985,739,308,300,669,973,569,047,814,436,
882,816,332,279,035,318,403,949,013,330,296,945,602,710,920,771,686,659,561,
266,178,748,026,807,815,900,565,188,925,216,964,546,264,357,837,033,438,003,
092,453,178,968,354,538,170,908,522,130,541,842,401,748,311,103,035,599,830,
992,770,141,684,826,227,929,013,130,989,140,972,240,986,300,116,497,810,192,
877,862,733,651,478,481,426,264,996,631,599,132,963,485,828,604,930,781,243,
502,485,149,191,900,199,608,982,099,565,536,750,792,832,303,733,800,003,549,
192,151,580,118,347,725,203,396,362,153,119,503,277,741,301,567,062,126,075,
556,789,737,806,542,342,316,195,132,733,660,804,534,810,298,026,181,751,173,
673,906,640,045,699,321,550,146,679,809,450,132,556,558,793,199,111,847,251,
802,167,014,663,656,118,158,250,495,858,403,773,418,263,129,840,910,717,481,
616,076,192,561,521,995,354,003,671,403,803,730,606,882,135,825,961,911,493,
396,871,879,606,665,430,113,142,861,691,385,342,201,840,995,813,911,054,584,
862,996,278,863,589,893,699,561,697,585,198,697,892,868,949,027,133,916,384,
092,500,138,245,666,284,005,567,819,835,036,419,766,792,483,572,437,998,095,
398,851,198,602,239,796,082,329,406,372,824,531,930,206,664,379,001,955,512,
167,988,428,642,493,287,609,371,851,864,378,218,375,179,685,812,339,006,704,
129,948,157,479,643,864,115,500,726,851,969,065,413,981,844,131,910,526,190,
401,572,758,722,714,997,885,128,746,861,740,229,388,867,596,616,896,184,037,
409,616,329,514,294,351,867,735,589,327,643,158,607,774,758,378,530,717,762,
648,194,025,241,740,709,161,555,502,898,905,036,672,743,800,404,689,563,135,
367,775,363,920,480,949,757,314,023,792,746,415,032,810,946,732,786,761,296,
760,102,916,053,676,955,028,459,581,607,458,752,606,595,572,843,073,422,364,
666,299,910,889,455,561,071,570,548,335,818,112,877,015,167,200,027,557,649,
779,784,514,351,873,867,714,661,808,520,076,082,383,935,011,627,511,506,518,
506,410,371,247,340,405,625,936,889,596,493,826,373,296,994,367,192,845,998,
413,517,855,950,021,126,307,213,964,274,860,917,139,853,747,046,604,806,071,
796,481,855,794,950,162,781,691,479,991,950,378,733,755,908,612,956,879,020,
112,831,543,458,765,943,053,968,052,910,572,349,534,934,268,424,699,145,402,
459,395,784,289,941,932,424,341,584,030,450,371,876,033,928,851,326,873,393,
223,657,595,345,766,890,409,986,935,340,453,601,637,026,134,837,989,644,469,
699,222,541,139,329,743,068,511,731,872,010,961,039,454,278,214,986,172,913,
897,528,394,334,679,611,901,529,390,304,947,372,541,393,535,033,335,331,493,
981,341,740,784,422,997,149,456,601,815,896,722,956,687,057,082,549,318,271,
820,395,526,663,336,823,593,698,415,710,454,885,098,905,207,165,036,641,904,
741,436,404,560,633,840,251,775,011,775,130,139,675,010,006,913,647,611,931,
862,488,253,157,341,088,101,301,739,944,788,242,952,970,469,270,793,485,212,
818,490,491,379,017,592,231,474,851,445,977,763,103,774,742,490,159,113,450,
201,999,225,878,879,936,065,387,562,363,392,377,287,555,592,138,956,744,722,
256,557,530,877,309,943,786,360,333,677,752,533,475,325,462,857,126,832,634,
179,230,163,054,609,324,129,558,196,431,041,434,327,461,161,212,182,591,477,
210,655,817,179,039,707,218,857,178,535,717,085,400,825,432,983,303,066,735,
494,101,511,052,945,110,207,650,446,499,653,587,194,330,258,109,739,446,556,
199,679,356,950,546,027,313,965,364,757,711,009,828,929,014,246,408,142,124,
659,238,814,260,108,509,056,019,330,374,481,352,357,315,556,910,725,651,554,
681,326,956,847,661,594,869,943,437,490,641,527,996,874,815,696,060,707,125,
234,525,772,367,716,965,171,349,847,429,539,722,681,273,950,791,961,630,927,
171,805,113,242,910,060,351,683,992,870,780,021,994,120,963,579,199,291,062,
749,836,083,803,733,372,122,313,505,218,396,104,899,977,084,626,065,553,025,
731,015,244,970,561,461,162,553,613,231,727,961,825,466,018,724,507,478,469,
297,707,145,306,782,023,527,686,634,217,658,431,437,269,193,101,696,237,841,
808,556,822,182,069,492,490,576,725,239,272,389,821,727,846,214,596,867,721,
306,488,887,674,706,196,296,432,277,034,325,808,742,349,893,204,655,460,908,
672,948,877,770,358,363,398,352,222,573,636,877,516,374,508,654,817,961,054,
675,856,628,311,889,038,312,134,700,619,415,118,665,611,387,230,392,793,292,
950,327,126,296,820,620,492,879,427,122,158,651,018,660,007,022,612,237,447,
859,351,161,436,881,311,892,152,005,769,745,793,721,261,885,335,368,518,940,
793,199,510,849,939,937,865,340,495,665,003,788,382,462,856,033,123,234,224,
748,654,766,449,642,909,110,794,278,617,770,689,541,419,360,541,836,145,599,
231,848,805,714,210,931,530,663,718,493,577,299,447,660,486,541,915,143,960,
630,827,254,349,765,672,135,168,331,323,860,020,547,072,701,736,650,750,091,
501,613,340,143,513,759,963,632,596,663,368,659,948,832,935,152,654,645,612,
168,174,211,754,536,730,161,119,231,646,110,371,139,650,701,266,353,500,291,
663,834,377,537,715,112,213,311,143,670,277,288,274,950,435,189,265,942,625,
665,883,378,437,403,492,535,291,869,971,721,280,159,894,108,633,807,610,052,
038,377,035,806,210,030,378,945,212,720,050,302,792,855,878,433,980,201,929,
308,335,808,134,857,630,329,393,872,975,266,048,182,132,539,449,545,488,277,
919,831,160,968,012,922,664,050,744,030,674,683,198,593,571,367,583,913,275,
880,838,484,215,644,926,283,203,624,715,564,718,036,109,080,485,446,541,289,
601,201,231,294,185,077,239,008,886,931,955,999,825,081,679,829,519,048,202,
430,704,873,545,799,163,648,069,252,622,138,416,530,574,004,317,788,346,562,
876,485,576,870,982,284,581,719,955,905,772,503,001,345,519,815,138,828,762,
247,864,549,563,378,774,077,216,315,955,298,444,205,975,779,255,286,092,699,
799,784,396,908,603,433,913,295,669,870,097,536,782,816,351,485,680,041,960,
591,157,706,159,775,324,514,560,419,793,577,855,388,338,681,291,458,999,408,
686,998,626,708,695,065,183,865,410,278,180,809,130,593,759,366,256,217,555,
904,172,390,263,096,216,395,513,302,632,939,218,374,997,864,149,946,358,404,
371,500,555,174,206,937,445,296,816,921,890,097,717,024,359,094,372,396,420,
135,982,498,447,153,925,859,335,475,508,705,601,797,891,543,034,515,024,627,
761,488,172,783,900,978,425,444,412,361,558,003,258,994,864,075,772,212,971,
400,716,483,798,935,869,109,714,593,831,927,850,536,009,569,284,498,772,299,
808,150,865,576,722,001,832,306,331,241,597,842,134,527,722,861,742,839,582,
561,096,571,417,527,224,975,548,500,609,275,105,997,290,325,038,130,196,933,
576,421,807,679,520,849,432,262,236,134,721,659,907,541,738,495,523,000,879,
698,931,629,848,974,945,312,198,702,920,905,392,772,412,133,989,449,720,953,
465,577,304,223,159,349,532,058,107,730,671,712,130,306,509,983,229,736,294,
686,504,733,844,907,128,030,042,541,036,239,856,281,018,861,665,622,333,079,
799,786,866,521,678,563,151,290,382,338,003,282,895,071,773,630,791,440,163,
188,855,479,808,155,464,623,891,371,024,715,271,019,082,025,671,824,575,326,
680,901,686,862,025,789,573,606,251,694,675,681,324,517,653,623,966,393,711,
954,986,984,935,586,243,454,439,045,117,347,168,456,191,380,851,248,431,684,
700,181,499,966,630,199,708,795,406,150,563,009,288,104,134,696,677,266,045,
021,933,741,887,514,379,892,754,117,516,426,052,333,299,793,401,239,969,731,
917,856,096,452,791,007,759,208,144,627,518,689,780,727,447,250,525,913,504,
402,252,031,760,436,477,934,249,101,702,433,352,862,228,817,963,457,732,918,
431,555,504,466,661,165,690,920,243,573,299,440,077,641,555,047,435,449,418,
981,268,816,855,929,900,920,355,039,078,027,123,191,976,401,639,299,047,393,
891,187,047,944,167,571,316,404,735,616,299,997,534,699,837,297,025,762,021,
095,615,094,034,651,757,951,419,803,643,676,925,067,193,674,480,507,801,320,
361,801,735,646,184,151,406,782,549,223,733,184,872,633,674,437,241,787,822,
529,441,594,693,858,582,186,319,476,535,640,567,661,930,666,151,304,308,880,
381,765,055,439,424,222,087,577,295,860,224,331,079,254,140,324,876,834,908,
005,623,430,292,459,565,757,186,470,569,295,738,152,861,245,382,699,075,512,
644,192,488,910,126,498,792,757,014,643,176,762,473,112,807,110,736,326,553,
227,002,406,104,971,367,409,297,150,836,885,783,191,700,855,640,734,705,591,
664,131,295,503,818,712,455,746,198,594,157,526,905,988,468,851,819,330,343,
282,315,166,641,125,125,592,021,525,155,992,366,619,591,558,126,669,721,831,
780,888,840,063,638,673,788,671,955,812,663,888,809,328,989,477,109,107,663,
353,239,415,919,665,363,802,153,481,908,879,603,718,026,912,276,429,931,797,
091,316,979,144,842,098,949,905,680,278,290,444,750,793,082,863,616,048,235,
312,970,627,381,845,839,329,962,156,117,315,512,251,928,625,326,500,577,643,
875,810,815,222,903,518,089,726,115,378,586,879,046,504,572,120,853,527,661,
527,675,866,861,973,117,554,539,856,668,216,690,568,822,104,988,182,098,463,
625,254,170,138,705,481,289,529,384,280,585,683,515,400,343,089,552,727,694,
647,848,912,777,006,268,229,228,310,218,959,389,983,532,112,275,614,169,355,
934,723,033,296,844,472,221,206,904,574,145,672,258,416,470,961,288,530,183,
045,554,646,539,090,315,887,550,486,162,439,631,220,760,655,534,122,201,486,
251,723,111,708,566,615,468,130,083,620,613,041,339,397,446,752,811,861,790,
148,871,732,123,437,777,592,553,603,537,366,304,092,863,860,183,360,844,438,
164,013,091,278,607,392,037,357,399,481,289,287,651,736,316,551,394,870,627,
996,229,018,952,159,060,820,544,475,553,017,240,561,796,240,152,490,130,985,
499,439,691,443,804,235,007,174,454,737,645,479,998,870,357,181,117,297,126,
860,606,991,072,395,732,363,116,097,537,989,875,384,340,865,504,517,852,959,
893,255,682,165,492,198,789,359,458,644,337,953,921,137,888,216,333,619,532,
791,541,893,328,488,827,359,258,639,558,801,483,462,264,982,202,507,940,085,
694,502,468,931,131,858,223,661,397,640,750,304,387,648,632,333,378,416,053,
096,372,610,650,881,648,770,334,420,490,255,103,628,905,701,070,051,945,873,
726,509,536,052,963,871,787,996,387,373,624,052,376,598,041,575,490,545,421,
498,635,325,432,582,680,491,008,452,624,497,460,968,452,493,181,755,278,415,
448,490,203,237,479,882,544,127,236,175,649,109,246,247,841,361,425,421,299,
626,490,009,775,545,676,409,777,305,999,689,729,975,888,436,475,882,372,410,
035,868,832,614,450,410,102,376,715,913,761,140,157,495,908,905,047,947,948,
032,743,572,641,239,790,100,994,389,416,302,399,036,990,661,466,375,072,413,
993,988,838,541,049,183,116,072,019,637,833,403,858,245,672,386,688,702,289,
315,199,754,861,896,126,363,009,638,803,618,129,533,002,813,521,319,172,387,
666,892,696,989,262,997,459,743,929,377,615,980,531,538,146,543,530,768,848,
011,220,111,912,085,025,186,338,425,569,268,762,921,975,260,415,442,722,654,
612,059,709,409,861,541,805,224,720,300,379,840,820,558,485,873,113,717,291,
255,432,794,702,216,332,405,206,447,527,278,359,310,978,095,494,529,312,795,
792,380,883,249,054,006,755,383,435,287,555,180,288,945,706,443,728,719,681,
322,273,887,460,302,113,426,841,807,560,728,418,057,705,466,057,512,768,809,
808,014,703,689,521,212,793,003,213,114,095,475,451,519,705,351,265,368,541,
986,657,317,561,964,416,006,530,249,339,955,481,533,204,266,118,152,803,972,
194,955,526,424,407,329,271,624,252,002,865,061,367,897,383,626,035,497,471,
298,568,065,685,768,800,754,952,455,301,563,774,957,883,748,272,505,140,989,
342,765,645,246,694,641,646,405,718,039,362,114,507,930,773,359,482,621,284,
211,243,012,167,808,680,212,103,618,567,128,331,022,654,544,217,650,895,454,
250,933,736,189,544,395,026,740,585,032,099,639,510,353,646,593,658,251,461,
764,564,157,475,372,226,462,935,452,686,033,188,060,092,287,868,599,207,443,
965,157,081,725,619,664,065,124,539,831,188,407,358,815,931,855,589,792,477,
066,626,763,562,189,980,070,002,793,214,924,744,427,790,821,759,491,904,466,
400,188,773,296,433,382,147,313,916,661,500,958,793,268,315,261,895,607,763,
245,429,026,953,193,347,679,115,611,039,770,235,964,897,016,650,694,922,733,
220,041,488,300,530,528,442,486,267,351,422,897,353,911,039,629,316,763,615,
284,763,065,353,867,500,101,665,072,686,758,875,679,167,770,872,808,077,179,
384,845,828,767,453,087,999,074,438,318,274,485,342,995,906,827,278,267,810,
882,216,601,064,071,151,148,304,717,101,617,226,095,651,633,528,968,156,011,
827,224,444,584,559,911,268,382,453,256,357,673,133,147,579,863,368,022,513,
521,237,615,774,332,678,651,941,730,691,746,531,216,909,787,040,814,702,549,
306,550,206,245,422,235,844,658,696,560,260,340,308,548,671,828,307,076,164,
369,222,362,072,911,899,857,481,599,778,900,218,977,358,149,493,953,052,832,
686,877,646,888,788,654,924,766,849,705,545,974,246,809,799,833,131,210,710,
918,187,413,243,992,272,755,455,069,306,731,127,157,316,066,195,222,675,127,
751,620,274,755,124,550,031,306,175,748,474,137,079,895,538,893,736,794,175,
193,219,886,869,752,981,368,954,981,977,581,699,444,494,442,069,170,321,512,
462,950,528,787,136,099,082,430,208,563,076,086,547,077,458,792,999,123,691,
135,437,633,598,484,869,844,641,405,827,714,357,861,992,662,922,269,880,365,
463,038,753,014,334,827,025,859,896,591,283,667,500,546,217,359,142,723,424,
948,426,383,841,037,333,829,425,575,051,396,898,382,417,284,206,431,547,303,
621,283,325,880,079,880,049,657,933,321,161,415,503,807,209,673,501,956,889,
637,831,990,918,548,073,724,714,760,918,866,094,280,606,722,946,111,769,221,
246,155,794,101,272,432,080,484,790,237,576,041,830,057,295,519,506,843,565,
049,791,461,206,324,966,212,404,780,057,289,044,455,144,369,336,121,550,436,
319,174,109,951,636,810,574,121,425,789,298,400,206,501,222,151,057,304,872,
008,310,552,695,500,067,027,339,197,748,490,754,262,481,099,576,756,701,437,
312,823,043,520,042,503,206,710,136,126,116,201,333,167,600,533,017,766,727,
581,494,716,252,497,882,761,454,931,126,533,535,235,173,833,873,960,058,178,
968,659,982,106,180,262,237,721,073,604,651,135,573,647,314,471,899,925,636,
731,230,791,897,434,327,452,278,226,929,798,699,633,895,815,063,395,065,675,
414,226,250,693,828,410,029,943,879,912,554,152,302,319,421,884,600,834,428,
401,659,176,032,119,272,513,380,425,827,539,216,300,604,442,215,657,106,081,
981,477,992,780,482,049,423,708,718,831,005,923,547,612,465,357,986,396,729,
580,593,460,988,571,364,226,098,060,073,520,965,836,289,641,210,971,825,473,
169,561,599,043,700,790,728,386,725,647,413,765,890,250,881,449,846,809,680,
426,193,342,540,670,623,498,389,225,671,201,294,903,948,739,548,862,964,903,
957,444,047,774,725,722,245,968,053,104,585,089,543,698,330,684,498,325,148,
545,061,938,067,738,051,698,450,218,533,924,155,084,257,133,707,148,054,026,
987,969,260,709,437,512,162,610,502,388,505,510,077,056,109,433,350,742,975,
691,051,873,309,387,131,859,125,955,937,169,593,130,729,526,828,147,574,537,
951,782,786,702,433,026,744,627,416,090,643,702,556,641,973,538,179,738,773,
298,803,433,709,442,002,959,411,087,130,474,447,866,830,730,700,778,226,420,
324,152,577,086,756,794,299,017,322,295,405,162,181,254,647,998,179,939,845,
645,129,214,724,130,207,369,291,740,509,522,523,288,680,951,404,902,744,344,
127,970,948,411,155,862,927,753,452,065,191,683,729,503,339,481,764,258,774,
431,041,184,458,305,614,483,760,306,349,608,427,829,597,677,515,860,970,410,
849,201,610,462,857,035,671,113,768,671,697,404,297,383,542,531,814,069,353,
143,753,216,536,539,103,611,282,358,283,861,515,230,657,633,588,728,772,058,
776,731,211,365,271,066,772,997,519,877,796,290,465,829,749,755,913,507,212,
672,541,263,630,036,207,139,236,899,299,238,766,650,569,259,662,084,084,379,
093,781,342,599,226,096,793,955,493,577,033,646,775,492,761,698,142,620,654,
336,087,076,075,491,379,997,510,982,593,817,110,974,709,003,964,319,009,188,
286,819,877,451,812,359,027,295,538,357,807,063,863,776,932,061,071,423,358,
113,533,016,740,467,042,649,760,969,136,678,118,009,715,656,000,682,120,084,
129,319,849,829,704,802,393,724,621,157,994,553,391,266,719,894,247,985,824,
930,550,427,263,177,187,133,609,653,284,643,060,020,974,880,447,639,973,574,
985,627,271,373,750,534,785,114,296,281,865,673,600,878,981,373,010,981,182,
191,798,230,530,277,836,657,298,181,005,735,377,729,469,173,751,420,183,433,
077,111,434,507,496,124,320,580,776,865,804,251,461,877,160,353,599,318,598,
567,101,320,130,863,425,564,808,561,185,972,162,895,263,974,154,897,198,753,
247,954,140,591,905,427,763,476,799,042,116,137,588,013,072,206,678,236,853,
851,021,597,584,007,138,850,326,777,097,036,804,354,693,050,672,258,657,900,
663,163,221,231,301,013,298,465,014,504,748,307,475,701,968,199,353,463,969,
094,874,097,279,186,571,832,808,093,188,186,306,549,892,241,795,673,308,010,
846,844,763,705,900,832,702,886,042,290,665,284,658,478,382,908,595,757,358,
958,589,154,748,803,893,956,265,462,783,241,635,148,477,507,559,520,533,753,
006,200,396,783,464,190,551,495,299,203,086,404,175,975,597,528,145,579,438,
706,429,234,603,029,290,283,553,394,691,284,678,869,337,646,682,289,363,202,
409,304,055,917,139,520,988,598,825,299,554,029,557,363,746,176,223,314,454,
058,055,857,185,285,496,441,434,620,218,218,867,514,963,878,627,525,737,587,
746,150,752,948,994,146,045,499,235,147,917,220,543,603,335,978,070,950,067,
579,597,485,761,094,417,348,892,720,649,081,811,838,959,597,326,925,890,508,
075,953,238,103,256,631,829,428,439,051,796,538,727,892,138,474,642,423,427,
146,796,269,786,137,123,066,361,621,793,245,130,333,190,271,909,635,525,389,
320,614,654,630,084,508,097,393,478,468,839,740,676,282,836,184,550,456,041,
939,010,448,613,548,157,690,320,793,395,896,880,313,805,266,989,926,225,422,
100,743,398,488,646,382,684,044,760,221,664,376,808,191,243,584,515,401,828,
177,852,656,898,616,179,072,270,358,087,791,388,429,238,229,587,544,537,452,
381,256,554,428,739,309,637,899,468,596,992,593,077,229,123,991,032,943,617,
069,465,010,625,100,287,560,949,968,897,558,124,418,219,186,051,200,823,459,
645,854,376,905,644,059,173,077,173,909,322,017,379,994,008,575,763,363,517,
016,472,335,260,578,596,643,994,141,278,375,477,082,945,382,898,782,175,795,
211,890,236,588,116,324,436,980,021,872,589,015,636,513,994,350,411,354,128,
983,085,379,913,011,290,035,126,535,117,018,638,395,753,190,137,308,438,478,
930,654,550,475,026,124,385,361,831,158,637,533,172,655,546,624,451,616,539,
544,164,097,138,231,260,859,899,707,306,655,613,009,970,422,357,763,437,603,
475,610,648,017,625,920,381,100,676,248,960,907,637,089,016,017,777,492,377,
263,415,040,134,095,443,328,479,221,464,428,539,237,183,337,704,172,475,840,
217,217,716,001,153,635,599,409,257,501,872,719,678,620,192,597,684,624,224,
393,648,349,014,678,785,501,372,852,237,795,372,807,072,364,101,092,309,539,
672,029,081,834,063,450,597,447,187,936,696,908,635,214,030,744,888,899,032,
797,082,486,183,966,696,298,801,590,888,020,832,853,207,272,967,804,388,449,
387,710,115,566,180,898,586,548,749,898,443,273,966,963,480,125,462,967,558,
298,854,659,925,074,728,559,616,994,718,034,911,427,328,981,815,104,531,744,
158,330,569,210,778,459,637,249,942,005,587,781,463,910,391,097,372,685,968,
330,392,155,888,283,816,856,415,582,652,746,344,410,687,726,640,294,819,671,
000,772,213,920,073,417,781,302,468,153,526,235,674,858,122,539,502,468,279,
031,238,436,398,744,909,396,077,314,424,281,719,431,528,412,221,176,170,349,
371,198,176,772,364,107,800,645,909,126,969,749,520,717,745,689,698,241,668,
998,705,599,847,981,213,244,016,505,234,383,531,435,744,368,995,528,541,436,
550,026,265,687,632,898,437,532,888,503,804,801,735,181,907,251,211,045,766,
034,207,869,148,926,934,793,272,563,062,159,081,217,455,028,578,717,808,151,
026,637,920,259,272,695,334,686,243,479,495,818,547,358,328,297,999,666,800,
250,583,436,343,485,068,858,586,599,184,022,208,073,592,341,307,691,145,792,
908,969,529,555,203,628,614,707,884,829,754,964,519,129,408,365,367,625,040,
779,135,387,139,264,612,868,065,481,511,214,968,800,184,175,177,811,778,404,
999,766,165,695,124,524,918,483,740,300,171,675,224,939,374,250,051,804,114,
570,033,072,615,329,859,158,887,110,354,818,117,778,245,888,203,277,180,582,
738,724,607,463,075,134,149,916,180,329,088,159,418,124,922,687,152,485,855,
841,248,075,995,037,794,399,484,089,810,411,176,161,016,888,854,246,008,535,
660,125,351,956,536,606,105,901,554,580,067,608,832,489,475,123,763,645,003,
625,824,189,185,375,852,893,402,949,162,347,416,842,594,150,273,343,048,200,
002,985,859,683,472,969,921,113,102,786,049,069,074,184,052,457,125,330,448,
845,148,555,766,053,801,764,408,981,135,146,774,035,627,192,602,713,621,874,
884,848,117,724,886,572,190,339,433,116,914,510,644,611,235,109,467,518,344,
338,751,529,962,454,476,090,062,431,604,587,765,394,922,045,672,963,773,508,
881,131,523,342,580,858,222,523,490,881,816,678,221,296,211,422,585,398,134,
342,743,364,219,746,652,292,446,766,369,737,210,269,274,224,862,088,481,312,
256,700,219,240,732,710,897,395,750,247,342,827,607,236,715,584,592,482,964,
976,679,863,173,595,656,336,974,866,319,685,920,631,474,758,778,806,480,017,
498,656,103,697,490,197,620,637,648,452,710,421,008,015,849,149,303,040,204,
995,756,964,491,316,755,940,244,792,955,479,481,813,297,199,888,784,033,963,
880,625,903,334,330,153,416,829,300,938,923,687,486,825,590,268,291,644,545,
221,033,992,960,565,167,363,294,180,160,818,429,550,024,132,769,145,452,065,
023,073,828,985,731,116,036,577,933,916,767,034,328,913,720,889,913,789,268,
782,967,701,612,970,796,598,805,221,948,255,759,199,947,798,873,500,353,861,
070,320,059,992,745,918,301,388,098,792,251,032,619,451,532,269,187,546,679,
487,332,141,352,078,428,649,340,535,392,366,108,104,347,878,891,665,544,205,
745,844,069,331,550,727,690,844,042,920,753,856,322,999,465,200,098,284,859,
819,697,334,981,815,495,080,697,912,601,937,483,296,090,975,615,450,705,006,
985,077,851,363,574,459,517,716,584,695,633,929,284,592,546,096,047,400,139,
319,950,951,004,432,251,989,327,876,171,212,901,610,946,713,460,301,323,555,
624,515,942,925,291,373,786,825,272,323,810,644,573,000,695,355,445,661,438,
275,947,820,387,400,159,034,799,407,732,557,588,290,010,862,082,907,846,898,
200,430,331,761,407,814,942,626,088,882,606,848,412,827,165,051,284,925,537,
367,459,672,524,412,436,997,514,243,776,981,944,335,344,834,259,610,071,659,
565,695,454,058,826,595,073,127,422,005,968,292,022,043,678,984,667,838,308,
405,247,382,619,846,113,566,346,391,498,562,420,168,424,947,644,961,170,361,
288,516,662,312,178,121,721,711,442,956,717,147,178,412,690,900,560,732,454,
949,250,705,464,008,443,642,400,449,544,871,932,460,458,390,052,418,908,411,
726,454,654,572,888,323,406,815,097,247,471,397,824,683,059,312,715,160,248,
304,122,897,182,963,056,124,204,778,813,555,236,445,683,535,148,312,174,198,
871,683,174,655,998,976,396,078,955,130,145,510,107,949,064,617,315,325,428,
498,313,766,963,953,554,892,280,452,702,031,030,444,912,772,287,573,672,925,
288,604,026,088,615,148,460,842,385,285,115,503,516,671,773,640,220,267,514,
193,913,952,646,991,837,837,649,135,363,077,838,538,247,298,841,863,369,762,
740,616,063,336,069,609,079,739,360,616,055,631,535,774,153,689,677,597,994,
309,078,279,864,719,708,876,350,786,185,620,112,689,693,772,002,755,090,389,
730,071,257,510,357,234,999,752,300,027,178,920,599,687,337,875,780,675,231,
814,967,824,712,262,793,290,932,444,297,913,424,318,963,945,233,300,947,005,
715,617,706,116,433,141,102,638,210,498,039,204,387,326,884,024,095,559,210,
054,554,542,707,481,557,065,967,234,407,610,430,713,724,628,102,938,785,325,
590,148,722,218,935,749,331,056,639,418,458,244,782,059,999,165,739,261,603,
564,039,081,650,960,481,425,251,250,302,921,539,936,687,366,492,919,642,402,
600,078,536,911,644,588,950,427,225,152,903,404,211,325,250,716,554,810,581,
828,775,064,085,202,287,395,005,165,172,799,358,156,740,626,264,986,168,736,
103,553,463,906,228,394,670,931,945,157,699,531,889,766,364,248,557,070,529,
477,100,719,683,498,699,327,094,807,206,816,699,250,098,380,601,167,918,420,
392,811,716,007,964,225,669,745,992,622,336,391,248,968,601,350,949,965,211,
287,675,606,740,794,889,623,733,965,965,545,556,894,331,295,013,372,153,470,
794,045,062,832,251,004,985,255,658,299,538,871,621,896,670,906,687,039,952,
382,636,090,602,506,806,521,444,576,037,765,335,343,227,235,794,007,772,280,
479,027,386,829,548,098,131,138,180,749,942,726,547,889,850,778,204,992,759,
522,812,469,251,575,790,489,650,099,274,086,932,199,004,766,220,338,814,956,
879,829,140,846,096,811,766,843,995,919,260,908,185,298,757,274,325,906,736,
683,123,819,447,080,455,391,537,556,428,567,043,948,432,344,643,104,375,788,
074,162,801,251,361,420,774,433,718,346,623,287,752,309,701,028,048,552,079,
381,564,705,164,662,687,422,559,982,315,194,793,882,900,848,932,725,903,148,
728,118,211,581,945,715,354,957,368,209,230,792,643,308,436,111,617,654,293,
871,064,884,738,984,099,258,171,483,340,642,992,043,776,187,316,059,995,297,
189,622,733,190,391,994,060,503,404,635,613,137,999,695,761,265,862,923,657,
767,428,994,316,261,918,299,384,069,826,890,790,858,482,675,745,998,806,040,
724,278,443,751,936,427,147,490,769,987,457,379,534,095,707,610,003,260,749,
463,669,748,617,266,268,559,930,546,547,812,633,140,934,181,227,484,632,912,
599,133,898,362,645,373,450,840,009,659,410,765,821,785,687,118,957,359,665,
472,461,073,664,033,895,866,637,691,934,604,726,237,869,532,040,900,810,320,
036,376,262,697,955,582,297,855,278,001,471,241,369,311,704,589,711,418,022,
549,333,897,314,247,762,339,564,260,742,030,284,625,171,993,396,949,156,598,
531,242,903,564,639,233,244,700,391,149,994,233,267,899,584,778,924,541,237,
025,684,378,133,631,181,865,796,787,845,219,477,810,825,730,221,180,749,573,
920,058,091,662,756,897,713,504,719,056,587,779,446,536,200,693,381,076,157,
104,517,585,055,825,651,178,411,575,534,600,141,403,145,025,827,033,040,663,
283,643,830,176,339,898,158,581,107,272,748,508,282,116,542,564,183,693,688,
234,041,402,983,157,911,672,700,126,439,975,768,564,761,792,181,420,618,111,
808,923,139,329,475,845,860,579,883,048,689,742,958,675,172,618,734,384,813,
491,544,739,392,418,123,677,301,631,603,618,143,367,344,817,498,836,355,476,
932,740,901,754,653,870,454,775,088,328,388,522,773,666,452,628,907,995,970,
196,444,224,912,459,407,500,200,176,896,669,453,402,522,114,406,166,761,917,
820,631,448,481,668,170,420,373,041,478,932,295,222,815,805,197,692,336,325,
166,631,886,913,697,076,213,943,823,079,014,849,661,561,245,171,628,053,678,
238,561,226,636,879,074,071,815,609,087,554,579,380,370,863,217,793,025,086,
764,083,113,396,369,263,591,928,179,207,013,715,123,387,175,132,234,031,676,
436,639,746,893,917,263,584,925,836,582,605,806,965,103,656,928,770,411,545,
208,096,269,031,883,722,593,497,843,563,017,885,324,731,471,611,933,608,033,
125,564,988,029,092,327,861,465,791,308,192,754,051,908,578,494,082,236,617,
910,161,694,066,324,243,447,081,926,548,557,944,548,565,232,452,974,902,632,
984,403,972,246,823,512,359,793,331,175,927,493,029,362,048,430,532,250,724,
511,136,999,206,180,946,810,902,185,993,082,174,134,667,476,643,218,135,350,
801,263,999,589,223,107,432,401,540,612,479,382,943,948,875,930,993,008,245,
224,163,850,084,474,569,731,403,635,675,502,269,083,047,385,013,787,849,238,
244,595,694,055,505,464,799,923,364,677,871,616,380,063,701,178,992,950,381,
912,869,476,725,515,672,901,518,549,308,692,180,340,332,148,640,867,545,312,
622,350,704,878,935,158,312,121,499,418,764,574,333,596,577,606,105,299,737,
485,900,662,463,709,718,592,324,652,462,471,787,433,105,204,288,957,298,611,
912,038,098,094,911,100,426,353,550,120,996,090,500,419,339,995,793,226,450,
865,444,547,247,669,823,496,234,988,235,092,050,429,526,260,346,736,759,623,
005,691,225,002,137,116,369,566,210,786,959,583,735,194,435,310,828,482,512,
082,265,435,664,817,587,498,602,189,159,582,574,846,324,335,795,323,020,623,
066,802,749,113,881,565,007,923,969,361,702,503,348,404,467,541,288,050,600,
990,713,904,627,817,906,008,927,266,961,936,328,655,171,057,114,746,927,824,
437,587,522,819,929,401,000,130,026,294,852,214,336,177,070,887,408,751,618,
017,618,856,782,201,303,067,526,931,302,048,798,115,954,228,676,023,138,523,
610,295,759,038,971,518,379,299,858,676,090,557,203,267,880,024,930,694,911,
628,774,669,469,288,135,062,513,700,412,723,551,182,792,279,992,642,912,322,
413,269,007,263,865,176,651,897,231,906,763,472,074,194,477,674,365,968,663,
692,156,873,208,564,290,529,511,562,190,627,756,359,228,284,365,075,455,710,
379,503,689,426,928,854,249,193,288,401,312,914,515,936,567,699,342,482,492,
278,080,444,485,308,682,327,853,526,754,800,480,569,495,561,927,769,575,758,
426,164,652,149,999,381,110,299,346,986,699,049,150,001,241,437,503,328,891,
771,913,098,136,266,038,174,792,334,191,332,008,211,519,439,677,430,624,997,
684,410,844,596,746,782,601,892,778,038,523,851,692,092,734,374,777,967,388,
018,870,631,703,829,988,134,267,613,729,032,267,796,812,626,218,095,904,307,
382,117,660,602,337,231,505,159,776,921,077,768,511,678,743,810,275,369,642,
982,057,441,646,831,704,631,279,556,807,116,399,800,489,220,380,859,925,580,
906,541,411,757,383,851,483,869,296,015,153,462,306,482,405,278,790,570,170,
333,220,177,321,592,211,417,889,484,983,422,563,991,849,711,495,751,562,864,
835,304,218,858,476,418,140,840,870,463,968,363,569,886,054,832,773,576,925,
707,058,849,183,274,845,306,250,688,658,808,303,425,694,197,576,342,090,068,
184,964,886,984,164,431,623,473,018,324,601,303,644,348,722,460,547,462,322,
375,809,190,544,533,742,610,671,353,622,256,088,265,376,214,854,696,009,266,
640,655,113,834,338,864,303,549,174,540,516,000,932,694,426,124,198,623,473,
278,265,275,361,029,654,166,384,266,503,255,695,940,008,346,527,461,236,082,
723,853,206,204,199,844,444,806,905,273,210,423,715,426,639,026,590,177,499,
337,195,218,481,693,716,780,844,944,485,557,827,406,801,647,489,167,919,017,
251,616,738,923,125,626,194,076,656,253,211,214,317,785,972,937,637,932,562,
683,816,189,813,582,867,312,313,527,072,452,881,759,773,653,896,495,529,988,
050,732,278,555,882,311,649,392,298,047,249,078,114,303,193,820,183,514,186,
601,854,655,834,242,673,219,521,257,264,486,522,470,932,330,876,068,242,843,
564,237,422,327,735,749,855,835,206,583,628,806,188,748,749,287,867,881,652,
820,363,910,660,785,503,977,013,176,922,564,162,319,588,713,111,492,636,455,
493,419,707,389,606,414,260,751,409,728,078,348,320,840,313,418,021,836,255,
495,005,228,365,644,665,953,512,313,847,694,412,857,976,422,119,886,626,776,
103,991,804,286,036,694,447,386,922,821,514,617,339,202,242,663,314,987,560,
277,728,764,768,941,849,686,004,096,694,043,980,596,315,287,942,381,910,103,
274,386,213,892,948,845,402,805,684,084,479,172,319,844,858,011,846,029,395,
065,522,573,736,458,504,450,498,195,403,232,385,748,924,535,187,194,239,611,
955,350,069,148,789,503,461,204,948,799,053,853,220,962,318,600,117,237,542,
113,789,752,325,301,583,223,604,592,506,153,548,730,916,006,473,612,090,985,
846,503,414,422,357,846,949,146,595,127,819,807,773,868,439,017,883,112,944,
882,908,717,080,996,755,600,103,932,311,086,721,639,847,214,972,567,074,534,
494,005,920,670,232,391,320,354,926,989,588,250,520,972,988,160,051,537,219,
317,485,991,428,041,482,407,891,653,826,961,874,076,228,231,058,446,194,153,
501,155,552,774,164,615,178,018,688,463,864,470,927,349,241,006,469,926,716,
249,463,710,602,276,416,981,508,950,008,332,946,801,799,601,418,320,167,995,
376,480,539,357,785,357,883,366,594,475,546,870,914,123,811,342,619,612,193,
498,219,102,466,037,193,600,242,771,371,533,254,274,478,281,461,277,998,137,
541,931,194,034,108,791,227,371,222,704,668,929,774,417,280,651,811,242,121,
437,471,098,069,376,072,391,081,162,068,478,739,700,872,651,915,843,864,872,
879,600,679,438,827,744,560,330,544,357,201,139,028,334,291,538,578,697,220,
559,713,191,730,389,104,781,631,112,011,909,747,698,354,266,069,752,699,492,
608,870,516,607,056,176,265,517,394,736,521,429,126,557,680,557,707,897,582,
091,648,695,842,271,684,835,198,785,879,665,907,970,378,877,353,157,936,316,
127,592,648,383,640,941,923,223,649,735,124,388,258,916,426,262,306,463,304,
825,195,699,193,219,180,341,795,727,109,245,588,333,359,131,875,528,055,285,
840,459,375,140,083,380,278,546,144,446,767,692,133,647,061,442,925,627,113,
862,727,508,164,377,748,551,546,939,355,729,772,982,664,031,811,395,027,902,
158,502,178,010,249,128,798,401,682,506,501,120,603,099,170,637,989,811,939,
509,611,559,354,509,773,916,383,223,595,676,559,344,361,965,760,401,274,521,
656,957,290,931,129,308,203,183,327,145,600,905,345,529,610,681,587,299,530,
075,721,173,695,870,741,463,618,081,514,180,249,399,561,562,497,682,698,379,
484,236,833,117,425,487,353,066,650,101,244,604,006,034,662,524,046,819,694,
388,612,394,447,921,303,891,548,643,823,727,321,916,277,988,636,097,830,192,
028,300,250,979,294,688,571,061,092,170,397,401,220,434,943,021,998,651,368,
636,556,349,733,928,184,841,362,050,187,385,343,912,947,452,255,576,018,773,
673,222,347,677,617,789,130,453,568,779,757,945,195,955,730,894,165,331,226,
082,759,528,731,457,703,801,087,228,433,723,681,942,089,915,407,729,243,168,
575,280,182,872,063,724,251,519,177,176,691,220,662,299,760,612,735,526,418,
514,672,869,561,629,345,599,721,187,989,496,469,473,316,589,857,168,501,263,
207,575,032,180,641,085,731,620,384,600,672,736,135,369,814,346,213,947,331,
982,683,528,432,219,782,007,510,730,510,355,830,164,334,950,150,169,151,493,
500,486,349,177,011,663,644,058,020,047,166,761,469,188,240,437,049,686,631,
160,091,239,157,247,075,613,097,086,617,051,704,536,464,546,998,477,865,897,
556,958,029,676,486,430,744,107,695,603,523,091,643,656,989,915,442,560,635,
486,580,941,685,225,954,349,872,094,005,523,465,467,173,791,644,611,685,194,
313,837,311,382,943,582,175,594,516,660,521,840,911,513,512,806,285,254,687,
638,162,094,424,722,845,557,359,445,005,074,484,280,670,897,059,214,400,819,
789,762,272,942,743,419,043,860,344,406,918,166,990,169,116,245,036,733,964,
685,735,298,969,788,367,156,846,842,023,549,744,395,805,204,291,894,852,769,
549,112,333,367,219,729,543,212,838,840,229,783,517,761,693,534,462,975,312,
146,088,377,981,181,866,093,657,782,956,780,988,037,937,296,788,802,739,929,
405,065,511,997,016,355,789,476,212,359,085,075,663,248,239,845,067,334,322,
214,930,528,428,803,673,668,026,739,314,916,267,665,175,978,008,037,047,013,
374,610,381,759,175,180,104,845,505,715,308,097,961,322,788,989,164,564,249,
967,575,903,163,554,815,459,897,459,851,759,708,937,449,104,284,262,947,554,
905,849,916,675,977,952,014,586,947,449,650,655,100,746,534,698,264,178,270,
058,781,427,140,136,636,837,046,198,958,532,748,444,062,138,619,225,737,764,
731,570,370,599,268,798,776,642,884,929,409,086,980,555,601,271,616,529,893,
903,201,135,455,204,036,797,936,095,151,114,240,405,435,378,437,287,721,493,
172,847,601,624,713,423,605,921,478,644,933,058,440,876,903,871,457,979,118,
609,235,941,408,850,314,775,498,378,917,127,196,076,825,773,567,307,157,325,
666,235,392,616,522,417,962,393,665,572,562,148,566,236,939,349,198,382,977,
507,361,919,465,621,865,238,929,538,734,115,661,088,803,428,436,318,330,095,
409,792,788,130,998,689,359,817,551,181,734,378,471,980,958,077,640,817,561,
413,482,809,976,456,697,519,200,583,025,237,571,152,807,783,165,975,920,420,
100,421,923,705,216,399,122,868,015,579,786,533,831,857,232,259,138,309,534,
677,422,677,765,816,379,570,012,124,199,444,057,433,906,513,890,983,798,541,
119,624,864,398,233,667,518,782,369,959,162,739,640,183,077,865,629,077,428,
958,411,302,248,635,184,556,473,101,662,904,651,936,530,602,286,401,268,534,
298,585,111,415,176,632,197,093,949,227,409,452,106,238,211,571,777,016,559,
505,903,209,597,476,714,753,048,953,072,367,000,325,346,863,263,180,376,971,
563,818,020,318,420,082,239,419,404,746,204,926,420,176,051,189,709,753,215,
065,560,269,030,323,322,089,287,488,543,227,484,864,518,956,419,379,141,668,
726,123,623,729,056,704,551,837,803,702,088,366,824,592,766,170,965,986,767,
979,335,817,371,572,190,276,919,878,927,093,512,935,816,260,667,123,908,632,
818,853,173,962,617,942,498,617,572,141,605,640,399,307,108,291,751,770,124,
594,424,337,225,059,956,686,927,501,989,195,877,951,205,676,614,615,125,381,
279,120,549,455,440,661,945,482,330,908,149,516,198,647,997,032,906,228,744,
854,848,949,231,187,854,172,359,559,801,086,653,004,802,593,237,009,661,518,
908,333,916,992,129,339,019,623,060,484,432,022,836,113,874,786,888,534,139,
053,922,805,044,346,142,081,024,886,689,415,237,015,571,777,779,516,431,171,
416,984,638,426,222,068,524,329,192,696,974,887,400,712,181,031,300,052,272,
864,597,358,200,012,058,045,883,197,308,255,734,659,561,623,034,778,024,238,
922,679,313,123,158,209,828,825,818,292,108,116,048,048,831,221,508,217,311,
312,292,863,017,160,097,169,783,652,006,408,097,210,851,292,179,472,168,057,
378,610,788,135,164,022,186,982,288,074,394,569,048,637,337,039,453,503,894,
812,913,237,575,904,932,480,554,790,595,873,242,584,958,029,710,369,951,307,
378,587,908,512,954,359,932,850,594,677,578,857,310,186,837,534,460,165,640,
423,255,203,978,985,368,476,271,431,872,423,765,261,833,209,433,200,366,669,
574,483,412,278,494,012,946,281,657,488,455,760,888,112,242,096,079,868,772,
346,077,056,798,919,796,056,629,947,911,710,435,194,459,357,257,021,242,843,
550,451,326,513,693,538,892,085,654,745,145,487,632,433,542,739,016,359,408,
871,901,916,796,649,710,644,206,942,937,135,117,917,673,961,244,844,283,866,
285,975,273,806,440,930,933,775,037,343,337,553,502,088,796,990,895,293,543,
827,304,109,153,002,167,971,151,068,253,799,925,111,778,727,059,996,611,208,
306,629,886,497,937,376,890,028,099,074,802,365,756,680,652,023,458,104,007,
400,308,514,465,821,621,887,499,854,384,666,867,462,145,441,423,788,435,798,
392,274,048,673,365,780,079,523,288,592,668,406,398,769,927,153,112,900,178,
283,800,138,375,868,114,314,175,610,161,320,679,027,114,171,702,718,444,553,
603,489,841,491,671,437,992,671,457,552,033,298,427,550,598,673,269,222,001,
614,347,152,022,782,543,185,274,432,269,972,086,459,122,777,769,415,035,181,
168,164,327,451,898,581,781,579,330,293,144,228,487,075,013,935,336,476,630,
344,521,105,186,472,136,322,511,042,664,590,973,853,754,028,934,902,524,552,
747,879,650,968,504,732,201,000,018,983,862,786,595,558,089,036,825,616,729,
772,989,922,302,968,080,159,580,730,109,885,126,552,104,976,149,033,513,986,
472,457,363,775,192,424,604,639,557,072,410,803,754,647,086,964,963,203,812,
561,023,933,585,507,056,404,649,471,565,349,018,511,489,536,850,404,832,301,
041,604,653,701,652,548,960,693,884,183,183,381,735,105,292,073,018,865,755,
784,635,310,431,023,247,247,118,046,268,317,057,709,964,343,507,950,400,717,
852,949,191,999,856,213,662,627,878,727,290,902,198,416,137,078,928,089,072,
188,158,092,169,935,797,709,522,723,710,922,263,885,354,608,351,297,176,452,
869,146,074,015,450,985,222,368,992,935,606,184,887,951,736,550,189,100,050,
133,055,399,379,419,103,474,748,275,030,343,106,778,923,386,177,547,496,987,
528,887,487,701,597,922,824,877,234,643,247,345,478,805,134,019,508,546,183,
296,901,004,483,745,033,845,860,690,962,137,595,828,246,282,933,143,366,287,
190,358,388,567,858,108,160,060,075,355,081,378,323,714,592,353,070,539,917,
983,792,058,144,038,912,140,613,025,262,766,164,430,554,016,730,925,153,561,
212,699,430,885,287,248,264,262,426,389,038,495,324,872,732,666,102,497,502,
368,735,748,712,935,430,632,744,045,569,020,050,905,276,630,425,731,119,970,
118,433,827,099,221,915,953,409,393,062,443,281,711,487,022,230,873,640,391,
723,609,688,195,623,015,897,706,034,286,685,211,591,241,761,393,210,915,227,
751,524,200,334,043,308,537,248,575,719,383,952,446,755,309,848,452,535,588,
200,709,294,417,948,948,914,713,845,199,557,050,777,983,214,553,457,800,695,
835,685,696,174,630,978,211,078,284,643,864,594,160,690,565,137,266,061,849,
439,864,601,490,834,431,204,800,681,175,106,066,842,666,014,339,218,873,768,
758,871,073,457,409,544,269,277,588,623,246,015,616,850,934,511,441,433,089,
970,270,655,003,191,460,441,774,105,101,183,633,128,748,716,317,172,525,624,
356,437,800,613,809,018,812,957,199,218,476,260,592,124,149,820,093,964,549,
695,555,192,012,772,157,273,336,738,930,851,672,830,897,959,962,841,439,273,
123,793,490,235,802,155,650,705,895,842,881,845,739,460,676,620,099,804,276,
532,720,136,619,839,168,653,046,618,099,781,641,146,652,536,417,160,757,964,
864,611,775,741,621,279,948,781,601,594,579,442,687,596,391,461,347,736,707,
325,525,347,802,104,086,123,168,145,263,050,339,708,314,192,238,760,484,791,
616,353,825,065,456,515,452,901,085,741,053,285,160,071,511,485,978,791,190,
580,730,730,042,653,023,770,296,936,448,400,440,471,844,185,736,248,743,132,
115,571,118,748,205,681,838,232,265,127,193,843,882,456,612,014,041,021,110,
244,472,914,619,723,163,229,838,114,360,721,109,742,186,708,128,597,889,702,
499,041,382,470,773,766,314,371,710,126,502,805,010,028,139,959,994,935,221,
159,194,370,975,554,391,294,637,744,468,501,095,285,289,638,320,490,648,856,
590,785,820,987,741,984,227,885,573,447,727,207,429,885,023,560,073,480,826,
951,557,401,423,293,330,964,107,748,813,698,721,498,397,535,123,070,728,391,
405,641,638,072,904,846,993,283,922,698,739,211,121,153,137,863,531,250,553,
791,333,203,838,056,468,007,901,764,216,205,238,870,222,090,631,338,724,506,
503,122,763,769,800,132,509,249,122,405,589,908,918,450,591,828,048,626,762,
664,365,395,629,179,830,499,415,900,094,481,861,657,510,879,563,389,609,922,
316,303,225,632,962,722,206,139,142,616,441,698,852,819,394,150,558,738,022,
469,611,473,125,802,549,744,100,613,502,999,397,885,983,830,974,111,181,125,
262,887,729,425,432,479,464,930,833,805,711,308,258,609,742,769,469,888,861,
243,309,484,369,723,413,992,309,943,296,335,418,352,374,243,347,406,006,562,
036,752,089,037,568,828,375,629,381,829,627,319,747,432,536,001,885,153,388,
976,715,342,033,283,557,176,853,901,356,099,968,659,652,705,394,242,957,413,
874,951,184,468,682,913,602,241,622,616,976,467,086,397,162,852,781,898,884,
711,237,003,272,617,509,295,261,183,783,836,049,574,714,467,531,573,478,961,
872,572,884,658,481,314,744,396,011,646,786,477,642,251,951,314,172,730,029,
404,049,766,450,205,991,389,767,281,287,361,391,868,841,189,851,403,769,744,
006,005,026,569,102,173,226,110,690,864,127,984,026,209,758,051,262,944,617,
889,174,296,874,055,204,437,371,366,854,474,192,450,853,402,276,354,248,119,
345,633,113,234,220,489,305,161,337,988,634,167,275,196,993,201,360,968,819,
920,648,622,481,634,832,601,362,245,526,576,866,891,109,364,674,168,487,145,
679,698,736,792,520,790,315,187,388,743,972,961,815,567,228,400,971,094,605,
212,954,230,845,656,295,009,709,531,413,170,379,581,537,642,407,203,111,420,
790,097,966,415,895,066,033,055,969,712,611,919,046,511,014,921,895,441,637,
140,530,175,855,634,117,145,812,091,110,531,474,909,312,961,132,440,548,118,
066,131,080,117,197,712,215,706,383,892,874,241,425,933,334,556,913,301,425,
581,194,090,097,815,985,634,912,537,622,499,734,535,865,119,926,777,680,409,
036,146,252,524,418,630,106,005,187,426,506,919,260,049,290,125,646,170,434,
055,295,294,727,800,255,360,223,086,380,665,859,271,659,529,547,071,442,362,
716,191,300,546,073,966,721,743,249,294,372,147,690,679,101,922,365,890,476,
318,419,372,842,308,535,883,691,192,154,665,655,572,849,641,516,601,889,942,
905,266,950,899,106,142,518,361,342,824,237,179,960,242,270,518,934,564,172,
539,890,659,638,520,004,912,981,499,949,094,511,735,974,567,071,224,387,414,
540,860,648,415,855,409,340,796,080,493,678,811,745,546,604,544,852,217,694,
741,868,156,743,040,760,930,943,683,863,764,227,741,721,989,222,747,547,758,
433,006,572,719,316,227,444,083,535,904,466,532,925,197,530,610,248,012,403,
258,827,526,826,926,451,994,430,236,024,490,793,540,877,956,436,302,904,293,
566,804,140,391,369,192,594,054,975,497,043,844,899,938,706,103,339,514,779,
282,981,599,926,861,013,935,901,367,892,239,354,526,340,523,608,128,106,046,
067,216,384,596,314,673,831,249,595,005,682,711,852,020,584,679,358,181,978,
411,076,060,963,596,267,838,671,129,742,975,987,737,116,795,101,566,774,406,
222,114,834,208,332,510,498,886,703,197,433,295,562,739,614,979,675,406,293,
721,770,825,299,457,315,804,058,983,663,098,626,419,746,358,918,546,609,877,
366,998,088,762,518,078,095,640,370,409,000,498,330,976,572,898,867,654,019,
532,178,870,454,109,096,751,164,320,923,378,882,796,953,928,247,786,540,778,
124,273,339,916,176,740,195,566,784,758,548,834,751,688,382,834,645,229,872,
846,566,976,891,997,655,036,498,357,012,608,233,362,922,040,308,094,249,675,
889,817,314,717,358,417,167,088,961,591,684,848,119,707,185,116,092,635,956,
348,177,277,563,313,300,275,987,189,191,485,377,639,147,300,554,414,841,301,
126,341,116,027,124,501,789,490,905,446,067,458,646,654,255,807,206,491,965,
424,988,755,925,199,189,651,119,171,721,227,009,926,423,062,525,628,367,389,
005,188,392,721,482,561,065,018,186,598,487,236,929,481,082,972,588,045,619,
345,185,660,856,870,216,021,824,351,289,226,741,068,694,583,843,509,494,731,
647,965,107,511,641,120,718,790,885,846,062,354,373,580,907,388,145,771,831,
037,599,870,985,128,633,091,236,963,168,377,293,924,517,227,751,323,869,540,
428,045,863,948,776,226,680,010,968,117,718,513,712,153,847,083,656,837,213,
418,584,210,796,571,945,509,701,407,132,919,518,713,947,518,540,418,232,227,
533,432,265,991,413,222,067,744,219,775,993,655,950,559,358,546,098,401,745,
770,249,358,741,242,456,892,489,401,593,057,895,452,539,547,866,748,092,013,
097,074,954,901,798,162,260,601,953,470,081,400,559,012,798,067,642,443,736,
232,284,207,057,238,737,731,367,241,695,758,315,004,207,083,351,122,228,669,
922,300,520,307,007,719,050,715,676,874,912,147,648,370,549,415,485,186,861,
379,136,880,822,019,824,823,119,214,535,203,053,248,582,337,989,176,917,137,
588,348,024,450,240,593,502,551,456,285,904,766,009,760,912,925,125,126,559,
402,914,804,774,506,942,985,190,497,049,171,638,345,992,760,629,135,139,217,
880,962,109,933,671,775,829,299,357,022,081,392,851,758,024,969,939,497,960,
788,999,859,735,791,288,761,541,455,842,060,689,401,296,310,775,775,310,205,
089,671,392,369,251,257,919,742,661,194,212,845,994,170,023,799,729,546,460,
783,258,105,893,441,324,323,367,141,300,113,810,032,350,255,641,132,131,207,
646,476,751,030,727,150,445,193,220,401,883,593,858,684,890,770,375,301,510,
347,877,571,158,829,942,466,038,311,266,104,539,089,866,045,683,683,496,913,
789,926,742,673,391,693,161,950,959,843,671,098,011,126,247,692,296,902,556,
941,476,089,268,991,332,607,492,627,678,898,208,417,958,806,027,894,199,136,
475,879,027,999,961,295,478,482,356,290,433,537,199,285,481,189,615,765,257,
626,862,168,129,829,352,758,262,417,725,775,839,371,007,240,182,230,217,316,
177,251,350,921,406,918,151,050,117,458,438,861,681,675,311,631,756,064,087,
867,637,686,287,363,744,006,404,184,543,548,887,625,185,173,316,702,354,284,
679,012,990,869,763,890,664,077,927,234,073,867,586,900,914,454,618,517,445,
726,960,689,295,122,873,942,367,684,234,577,937,538,077,142,090,204,591,607,
178,141,680,153,577,065,954,693,102,724,978,526,337,871,906,230,042,843,017,
168,496,814,042,034,513,765,620,338,385,293,866,374,271,965,881,806,320,895,
324,567,529,365,349,681,327,480,909,540,954,483,511,928,297,143,714,822,518,
364,316,367,990,766,450,488,573,581,114,976,069,547,108,423,727,941,185,092,
057,832,197,326,246,165,766,546,189,993,093,857,362,310,699,126,203,758,326,
229,023,946,853,880,535,071,232,223,552,471,092,663,615,866,500,876,538,795,
119,418,914,448,951,912,361,575,095,493,516,853,675,009,575,852,148,096,013,
265,908,689,681,578,327,512,998,025,040,186,481,344,949,247,626,122,633,935,
212,044,325,952,105,754,604,883,102,335,566,021,258,423,507,641,657,743,835,
202,805,586,624,371,630,579,265,688,203,485,708,202,532,510,922,904,244,094,
008,234,046,389,045,124,920,380,669,173,546,618,929,623,341,097,430,786,040,
645,562,526,667,410,428,390,111,514,010,850,123,257,577,529,327,351,606,775,
550,247,564,673,558,971,646,014,454,667,153,586,042,350,618,760,950,037,361,
723,459,357,419,613,338,575,200,878,793,333,159,977,636,757,019,832,304,623,
145,576,249,963,786,009,571,348,175,788,920,229,468,297,571,245,610,111,389,
935,738,779,795,960,579,296,381,812,302,574,142,841,473,936,934,581,093,909,
760,221,297,124,822,353,783,267,181,491,270,150,464,392,322,796,151,046,686,
459,014,275,856,520,165,470,210,869,466,759,840,031,656,536,493,787,251,540,
502,735,271,501,207,378,846,653,551,960,525,041,013,463,544,250,713,436,335,
078,585,096,657,591,562,105,543,126,914,524,079,548,240,952,725,136,053,231,
330,237,749,633,956,513,375,917,016,277,148,838,828,935,852,973,415,875,807,
561,953,384,516,865,095,835,110,042,608,807,743,183,686,453,063,926,231,410,
907,326,973,080,314,054,683,884,569,596,191,471,791,392,276,852,272,173,993,
464,975,385,932,377,708,409,612,940,012,831,480,611,534,651,564,135,636,467,
912,376,964,112,355,083,270,477,369,254,037,888,864,113,781,797,053,522,896,
620,193,073,146,609,876,538,270,446,334,120,266,918,268,671,279,453,363,353,
262,903,268,297,529,169,649,841,303,730,691,694,298,687,818,309,159,732,394,
991,675,448,054,505,230,195,480,867,452,453,936,154,135,225,927,460,212,417,
897,697,019,716,345,469,231,740,292,833,763,495,462,212,360,945,902,981,691,
168,695,108,272,699,634,898,434,862,766,583,519,695,930,851,498,498,568,392,
985,316,317,627,477,003,101,132,792,859,311,457,382,595,159,175,879,271,159,
305,232,596,287,069,810,944,664,023,016,753,002,284,890,835,868,616,245,551,
254,380,626,520,518,434,825,463,958,165,193,242,585,411,584,560,743,340,700,
214,655,510,476,699,570,848,674,222,610,967,747,399,160,354,094,794,070,172,
596,914,549,418,899,138,818,648,129,495,525,641,921,183,528,798,124,080,689,
743,607,953,420,068,030,343,555,079,631,167,575,238,133,040,845,753,771,900,
075,425,664,353,384,914,887,384,301,000,958,151,253,711,754,206,060,663,935,
367,714,398,049,261,994,424,368,894,780,641,367,459,309,177,301,417,347,502,
170,060,191,075,479,764,902,619,742,029,139,958,234,533,806,408,971,554,035,
348,667,290,981,335,848,491,630,807,895,091,673,379,423,418,505,878,677,617,
876,776,282,625,069,668,412,109,829,817,736,596,158,048,076,040,267,629,071,
410,410,205,695,605,253,267,609,116,760,873,992,215,363,778,275,665,289,924,
175,216,466,425,896,647,811,596,226,656,928,921,016,902,770,409,896,663,460,
202,979,868,278,351,374,270,171,211,115,329,562,150,027,940,652,902,461,648,
959,319,902,858,799,007,077,549,308,684,026,002,138,365,146,044,928,566,470,
024,462,309,088,799,291,328,673,342,223,091,802,522,476,589,589,947,558,191,
898,461,388,171,683,933,391,358,731,684,189,954,855,019,839,246,901,293,211,
579,045,553,754,021,933,997,703,099,623,130,995,433,883,923,352,336,029,698,
719,930,757,933,460,657,972,663,025,737,489,246,913,693,975,839,011,767,895,
839,298,385,317,104,497,565,684,335,674,648,382,078,364,078,222,082,524,340,
085,023,119,516,418,555,214,904,338,433,503,526,516,574,160,678,900,052,369,
590,336,324,408,349,378,475,050,899,480,749,309,878,789,265,846,032,583,668,
354,560,314,287,233,215,901,507,499,631,527,206,294,418,747,906,376,351,296,
191,552,697,138,920,934,097,241,371,730,588,172,931,147,977,154,980,651,971,
903,999,455,059,263,951,282,808,681,768,520,483,945,102,680,870,908,341,996,
782,287,920,376,068,908,915,970,539,739,511,870,866,704,509,433,715,410,537,
580,049,619,850,074,795,518,741,177,011,180,993,483,375,487,746,870,373,464,
895,943,837,806,215,719,657,724,651,484,544,986,642,656,368,677,338,372,912,
582,409,239,888,241,160,897,388,000,901,186,167,914,318,149,375,585,439,734,
859,950,015,766,983,501,167,858,783,583,598,101,026,112,580,957,804,516,382,
476,000,571,480,068,872,737,033,068,159,960,597,071,749,513,541,741,316,106,
522,561,275,292,641,663,442,286,675,990,455,314,042,193,567,782,159,609,705,
960,154,158,197,995,699,745,290,625,955,189,256,167,565,968,209,413,242,404,
954,612,106,393,389,829,698,792,752,068,060,525,661,047,450,204,369,808,096,
865,211,555,154,745,428,031,979,827,037,045,144,510,984,833,705,661,568,602,
153,527,893,460,963,685,662,729,365,679,851,762,670,956,727,776,221,730,427,
513,761,905,294,741,090,986,676,735,468,423,975,637,690,673,531,171,024,016,
895,112,915,256,913,001,953,470,588,535,079,508,464,053,282,087,722,330,345,
291,284,046,933,934,081,908,856,519,639,475,988,159,227,214,221,933,521,491,
699,342,839,499,550,612,839,603,558,348,153,114,727,582,776,778,483,452,238,
948,713,247,885,468,500,179,381,798,581,184,947,005,795,706,197,247,062,109,
763,018,560,296,207,960,304,322,282,874,671,401,564,750,697,446,305,028,749,
938,188,146,689,884,662,481,684,256,990,343,606,588,127,412,461,374,844,072,
229,982,254,973,975,947,356,102,186,596,583,381,765,509,203,758,515,127,368,
618,845,473,422,074,379,388,768,321,258,762,079,566,079,419,135,412,674,400,
774,615,789,204,418,017,331,978,089,595,325,750,330,341,862,316,095,435,992,
001,275,172,540,896,534,021,210,255,242,951,183,415,044,223,567,964,181,863,
615,579,158,775,226,587,587,307,584,271,784,529,022,334,904,010,848,182,339,
192,455,019,241,941,078,134,015,889,497,235,005,000,452,324,566,580,346,262,
270,899,310,745,161,054,881,130,741,550,292,097,946,978,778,267,438,952,162,
774,897,303,841,972,662,648,504,355,803,663,460,768,295,988,025,577,557,837,
507,225,398,802,047,418,472,795,067,609,207,454,722,760,446,359,048,898,423,
388,024,424,238,141,276,665,865,589,427,115,454,328,424,041,668,800,564,834,
103,539,332,856,834,032,253,656,137,039,691,024,931,322,312,786,410,049,553,
143,467,820,716,123,174,593,644,541,510,920,214,819,645,742,268,773,284,123,
637,388,746,461,926,373,163,351,638,345,050,414,525,792,621,121,970,672,062,
295,121,273,192,251,143,710,195,796,908,789,398,800,322,617,757,216,865,464,
338,760,324,637,674,888,939,301,990,833,464,956,170,192,648,155,739,193,537,
293,761,384,481,730,540,024,534,205,377,447,019,848,131,707,678,980,515,307,
330,343,942,300,893,723,934,406,360,191,160,482,691,643,011,895,726,169,463,
932,870,336,572,637,777,447,886,143,233,459,819,054,435,187,935,931,000,790,
447,973,254,644,013,480,670,913,614,637,611,207,183,174,955,416,094,878,829,
358,415,537,093,633,195,802,268,626,989,650,922,040,406,819,041,567,751,003,
128,090,235,146,894,809,907,122,509,796,735,544,663,030,761,729,247,054,708,
299,974,622,189,129,834,232,125,176,562,269,243,398,389,666,639,977,610,831,
272,194,352,956,571,647,932,135,395,377,192,132,006,491,851,271,188,649,460,
691,296,315,570,727,918,705,285,738,502,103,782,835,309,067,147,072,672,974,
618,411,125,313,626,697,812,130,783,281,556,162,351,256,014,938,309,914,037,
201,889,297,017,542,979,184,193,049,086,745,933,666,876,086,559,802,891,782,
284,519,376,928,088,641,081,726,054,724,097,602,330,604,489,366,187,306,672,
645,219,903,513,053,683,590,414,128,533,905,713,156,812,593,921,256,981,456,
009,148,600,958,502,447,268,484,171,046,254,442,605,424,425,148,199,929,276,
619,776,042,100,856,446,089,739,427,693,627,772,536,575,945,246,869,618,823,
676,617,717,629,509,196,522,670,263,911,333,328,053,235,796,176,497,853,624,
519,419,906,633,424,833,541,856,661,452,861,196,975,148,825,567,262,901,421,
739,179,022,478,765,940,898,201,322,935,598,128,305,801,473,819,877,038,204,
245,025,713,798,149,755,579,122,926,244,945,750,515,655,939,976,019,350,840,
453,606,561,027,483,473,752,415,656,783,400,268,376,278,991,724,334,714,063,
316,548,468,591,208,336,408,677,318,059,245,969,516,810,108,361,889,225,778,
983,998,970,207,858,660,965,602,552,016,118,294,749,136,593,536,771,710,211,
301,703,003,160,394,641,068,446,046,785,321,013,541,355,825,896,649,826,810,
413,049,584,746,357,479,276,445,700,701,059,252,896,682,781,014,095,784,774,
698,798,402,721,015,028,194,915,260,440,173,086,637,424,161,342,002,821,298,
165,597,693,971,061,659,678,032,497,259,324,140,175,505,231,540,753,123,885,
682,969,829,518,460,384,738,437,084,649,731,275,553,356,170,597,448,389,618,
681,120,702,272,573,871,009,568,963,134,357,958,167,273,040,146,730,459,736,
952,563,763,960,626,884,897,799,625,744,456,258,842,976,480,555,307,011,419,
399,421,004,524,623,506,389,293,069,125,114,751,010,233,728,207,940,452,557,
814,218,205,474,506,876,089,575,587,169,319,433,968,647,439,346,112,012,236,
348,547,580,688,837,667,819,462,990,534,474,264,744,648,383,243,433,964,838,
092,928,569,336,988,185,599,273,123,265,269,702,621,114,751,897,736,248,108,
470,251,674,721,849,245,996,022,213,799,064,467,187,238,805,512,668,950,437,
022,464,299,517,846,082,711,613,646,918,484,468,594,418,345,116,251,970,339,
416,441,663,235,258,300,695,851,248,093,321,882,410,843,321,783,981,557,970,
760,559,878,305,900,459,598,931,817,701,484,406,547,383,881,374,003,544,798,
548,426,490,324,650,424,826,579,961,345,063,117,762,845,887,136,406,607,385,
761,483,339,168,505,018,034,252,854,201,580,465,350,950,402,652,253,666,816,
993,962,330,225,737,227,874,318,685,676,675,447,864,784,213,853,503,571,698,
490,671,123,172,093,021,415,538,076,142,657,459,746,722,474,177,253,181,262,
601,017,775,939,975,631,707,350,716,292,609,300,117,556,354,196,135,415,847,
277,848,453,782,431,185,320,225,402,625,672,683,964,576,279,298,378,440,950,
261,265,490,849,998,439,555,023,055,434,631,588,520,931,985,310,243,848,719,
503,080,313,784,916,651,796,061,959,947,450,317,778,584,877,832,887,366,742,
721,925,830,330,244,972,314,030,076,468,074,334,799,360,149,579,275,632,412,
692,594,469,507,512,754,327,803,927,588,540,075,507,388,850,279,931,042,615,
445,254,844,584,522,831,986,521,528,509,523,165,056,974,480,222,630,294,445,
033,410,760,010,123,093,345,847,856,347,729,413,356,720,093,205,783,947,216,
527,374,307,829,926,202,369,049,308,027,363,267,529,649,383,692,300,386,074,
824,418,851,378,884,630,662,600,542,025,807,238,352,392,989,339,508,753,422,
746,787,075,995,573,102,387,003,520,351,740,207,665,879,572,568,301,004,792,
065,407,817,979,739,004,141,987,309,939,244,598,906,969,917,118,763,655,976,
968,676,951,626,171,166,130,522,760,686,951,916,475,102,362,375,816,816,278,
725,521,906,903,256,461,984,204,047,185,031,841,696,589,289,872,784,934,829,
459,447,122,782,124,163,620,721,749,204,792,269,155,623,400,971,923,406,539,
804,296,258,055,328,952,278,970,843,649,171,064,083,998,490,626,286,130,429,
646,854,686,044,413,982,345,003,301,092,793,124,260,831,547,034,942,627,195,
306,590,771,080,709,365,824,736,715,972,300,206,120,343,704,132,888,162,002,
239,880,728,733,476,418,011,660,430,449,097,715,889,484,977,601,302,427,264,
948,873,917,759,830,380,097,987,241,287,305,339,551,653,706,553,942,271,682,
263,258,797,838,978,670,797,156,347,360,301,568,560,139,228,042,016,185,372,
343,577,377,817,430,194,177,918,152,982,560,096,306,271,934,221,920,749,682,
340,833,587,299,310,369,517,221,398,592,320,258,583,006,523,565,518,441,726,
161,508,090,437,523,923,591,536,594,910,180,654,040,748,791,460,590,504,420,
326,124,761,406,693,863,592,885,892,706,143,096,613,588,171,438,844,945,333,
976,302,419,123,744,667,122,122,064,366,542,286,925,478,683,484,751,225,162,
429,642,093,788,446,585,984,655,686,899,449,232,265,270,855,847,297,402,326,
561,670,838,726,121,397,937,806,787,052,171,745,466,949,974,472,368,422,621,
393,048,284,967,955,833,133,229,241,020,175,217,866,196,189,978,080,746,703,
240,124,573,023,211,099,158,459,352,016,663,137,908,685,848,960,805,211,878,
656,284,108,705,162,232,927,632,118,307,346,442,705,268,118,800,661,310,543,
687,640,152,792,693,641,069,082,416,681,453,108,842,006,011,897,346,962,287,
178,575,842,338,506,123,178,319,868,582,808,939,617,413,314,408,929,862,625,
161,259,214,375,882,641,764,294,700,417,779,915,610,741,498,017,935,637,749,
554,541,460,374,018,168,457,928,203,314,581,213,093,604,921,896,450,422,424,
110,966,677,693,419,531,096,654,028,963,783,412,714,879,142,191,236,844,134,
372,539,154,957,003,729,646,029,440,369,330,264,786,446,010,003,424,448,343,
765,596,169,739,383,581,455,583,067,857,495,603,113,917,265,977,840,751,157,
127,689,654,612,809,232,057,272,511,303,526,092,301,646,982,368,578,472,350,
733,862,461,791,967,579,571,655,630,536,084,245,614,912,300,411,604,989,440,
020,992,832,982,367,800,715,772,682,213,499,397,592,593,182,113,896,316,824,
721,276,457,855,485,808,918,190,286,612,573,396,929,647,928,887,953,741,913,
605,067,883,443,602,589,009,999,961,303,799,094,315,549,595,872,616,806,672,
570,826,781,307,291,244,391,474,148,703,762,370,224,782,855,198,174,698,413,
185,960,485,903,841,037,172,728,832,329,366,850,989,845,117,969,616,583,931,
862,741,243,835,918,069,654,296,850,297,177,141,379,527,804,683,684,087,274,
574,822,570,896,193,419,771,550,457,763,363,640,942,767,491,297,905,057,523,
277,040,520,597,744,588,547,528,646,317,536,163,598,023,482,847,141,274,731,
286,134,723,118,356,614,242,423,186,652,975,998,930,421,013,506,070,370,107,
033,740,291,372,738,183,119,849,745,291,188,410,192,709,559,754,979,966,398,
959,903,852,119,952,028,164,387,498,250,982,591,397,820,996,955,883,360,443,
620,935,688,088,331,050,535,280,140,871,743,372,558,771,743,019,122,559,071,
880,273,998,613,807,161,128,870,843,444,378,686,274,010,596,883,680,716,387,
121,591,474,767,017,438,695,143,183,220,474,912,433,119,648,631,223,833,145,
208,432,116,209,910,027,401,165,534,641,579,339,165,314,397,453,766,180,373,
730,040,477,190,437,503,808,176,195,924,768,149,964,928,810,471,569,524,280,
450,909,457,474,815,859,792,185,290,426,486,989,201,198,439,642,246,144,741,
525,578,282,949,497,997,513,529,022,759,586,671,270,370,905,407,034,447,916,
387,872,481,421,036,795,150,335,632,941,006,303,193,223,844,807,169,657,254,
375,268,816,374,328,725,776,654,758,010,909,262,454,962,030,321,686,786,834,
090,238,333,398,995,337,727,515,959,221,475,001,251,032,892,442,643,982,602,
899,798,981,009,194,112,798,976,779,408,288,099,555,715,062,484,251,868,113,
596,623,743,949,140,561,168,007,548,202,528,133,101,665,337,862,465,383,614,
956,194,244,788,201,365,370,099,358,946,372,569,755,942,870,439,666,222,066,
779,498,254,719,953,358,058,129,289,169,552,684,250,730,498,344,865,884,143,
543,600,120,554,609,733,225,592,802,067,549,883,834,357,213,255,056,804,389,
561,247,003,933,516,514,710,282,331,126,842,048,741,332,182,168,981,772,768,
395,691,217,312,447,646,733,317,300,106,472,696,879,781,054,329,002,418,689,
107,937,352,097,816,565,787,874,327,748,312,152,404,050,365,552,286,081,529,
462,743,198,219,544,053,639,011,117,280,815,958,753,321,108,627,381,390,483,
616,441,628,227,877,778,860,897,195,093,771,926,208,179,880,075,174,520,171,
668,768,607,844,574,796,098,380,926,976,726,101,568,840,199,593,695,192,760,
891,113,163,724,572,624,959,468,427,739,841,423,391,410,263,605,768,395,463,
494,471,181,666,188,748,456,619,853,448,421,349,469,217,998,179,682,191,647,
452,637,350,397,205,665,410,212,346,606,441,025,348,220,593,910,197,612,017,
143,147,554,372,212,457,151,311,762,045,346,459,510,037,212,339,085,945,623,
376,745,782,194,707,327,188,097,954,626,586,885,394,331,423,173,120,465,086,
141,378,669,082,157,319,593,447,686,408,024,554,072,197,426,752,197,678,041,
015,439,241,687,843,993,337,614,977,774,494,265,932,865,588,597,232,503,130,
930,576,069,145,764,418,831,574,938,341,978,422,286,072,896,947,271,061,342,
569,690,761,186,365,345,699,099,386,381,450,398,750,253,108,094,202,288,384,
568,985,221,299,855,621,863,887,107,095,377,570,065,851,148,095,491,330,881,
829,311,209,448,797,437,286,536,658,450,153,723,617,228,315,772,179,782,136,
038,877,534,755,053,742,173,422,069,505,155,084,316,133,183,985,569,346,689,
900,355,445,969,865,680,787,534,259,374,550,830,955,103,552,536,474,315,896,
686,991,118,021,095,890,038,674,192,353,343,779,683,542,918,578,670,800,163,
416,956,362,768,068,881,329,492,369,697,188,694,751,225,566,846,547,767,945,
949,829,048,663,995,437,438,007,361,864,410,912,062,964,706,231,937,181,665,
997,290,384,050,981,794,976,993,033,155,665,624,236,228,417,530,478,384,572,
159,746,877,416,315,854,127,901,265,490,320,609,378,130,135,237,198,799,269,
206,747,170,427,631,246,359,479,614,867,908,448,894,503,737,638,412,708,144,
489,138,354,379,781,366,253,905,402,391,561,363,424,003,995,972,306,443,691,
616,389,358,307,724,858,217,198,338,353,477,051,581,438,733,630,959,665,367,
902,055,481,235,857,264,923,802,716,476,645,141,872,886,022,521,000,790,846,
674,765,714,351,940,756,317,660,458,898,687,017,918,608,555,695,391,264,967,
573,038,856,523,088,162,679,524,729,003,493,600,026,486,097,307,716,230,069,
054,268,278,120,447,275,582,229,442,966,652,565,284,700,900,023,770,004,183,
947,541,393,482,111,511,949,495,862,669,075,745,109,970,852,911,600,791,747,
627,725,047,929,782,718,774,037,986,798,516,283,293,062,035,712,132,724,702,
422,938,905,514,726,965,179,574,827,706,428,171,841,595,118,585,431,444,166,
463,833,019,544,571,743,028,502,525,219,025,957,496,176,708,727,460,933,319,
728,301,191,359,972,981,432,089,651,785,380,075,614,279,967,689,036,110,067,
635,757,611,772,357,687,635,902,114,485,797,988,991,241,094,957,404,871,477,
402,089,695,238,008,085,973,199,862,696,336,648,477,463,891,257,181,797,596,
367,223,628,734,161,200,307,597,167,777,679,743,945,809,647,169,155,030,355,
097,296,363,849,848,095,801,885,284,541,113,800,881,975,340,452,048,486,937,
588,021,059,605,043,319,947,823,982,500,318,211,959,497,747,288,529,394,143,
750,735,985,522,661,275,443,578,840,193,987,647,356,821,374,609,369,623,959,
683,582,321,588,321,329,749,760,749,079,099,388,372,540,799,507,978,262,807,
151,341,980,718,645,628,186,077,433,790,710,625,213,334,061,887,923,787,125,
393,323,934,890,055,624,485,793,050,314,964,277,139,240,243,406,724,092,113,
223,847,149,761,379,725,431,468,335,929,901,660,564,341,352,648,059,787,875,
113,036,919,572,603,135,731,908,705,617,941,019,490,757,676,210,209,413,116,
956,719,462,014,854,017,724,077,918,366,650,790,490,645,634,534,221,252,851,
518,602,311,498,510,453,672,227,922,075,376,601,605,406,189,662,641,145,027,
429,940,059,136,144,178,816,833,197,313,534,473,500,065,469,454,096,044,004,
101,067,774,923,923,099,480,652,292,297,661,262,524,554,556,429,362,054,798,
574,851,887,093,362,470,857,695,181,944,951,363,589,514,703,458,795,958,644,
684,372,614,879,978,770,375,998,318,487,189,332,440,568,000,245,273,975,141,
893,824,495,993,324,192,131,596,887,011,975,016,652,634,416,272,662,846,694,
895,230,077,925,386,736,911,967,949,223,501,103,279,574,514,612,206,178,706,
040,928,103,219,155,212,429,065,059,048,016,491,398,373,004,023,911,057,389,
313,144,401,003,473,693,376,309,526,109,180,540,676,947,440,556,284,616,720,
328,638,610,441,345,793,338,713,125,610,157,069,531,142,234,958,613,432,806,
526,759,310,487,072,680,835,379,226,601,536,980,370,268,129,828,942,361,149,
187,780,265,313,038,833,305,435,467,461,827,143,430,265,950,194,202,485,368,
344,926,676,344,830,750,490,742,836,298,273,636,130,004,719,555,407,309,694,
844,036,664,053,387,882,406,797,374,345,937,225,187,753,536,331,842,571,070,
948,596,487,805,369,524,022,326,435,863,703,847,039,697,384,362,576,514,861,
581,678,673,678,840,515,827,539,788,182,251,096,950,378,650,857,619,043,187,
955,089,931,580,023,038,958,548,935,717,922,180,505,358,087,927,628,216,452,
542,649,837,913,951,031,413,811,170,215,622,079,659,276,976,593,930,749,057,
989,510,176,030,723,136,561,017,937,205,229,869,471,518,169,373,077,253,336,
812,142,199,923,961,462,146,581,495,499,113,313,052,913,626,223,875,649,550,
611,361,012,938,186,046,857,670,148,664,077,473,766,463,615,897,576,677,203,
034,427,640,233,678,524,832,354,523,516,660,350,873,929,991,451,632,019,976,
569,175,683,988,292,232,971,186,010,845,838,273,491,550,611,053,127,518,979,
378,884,583,637,317,359,774,574,688,173,012,330,684,762,170,208,707,823,432,
322,137,014,227,933,755,947,357,234,211,317,593,433,900,864,113,365,225,832,
704,281,737,464,471,858,775,653,895,045,369,717,727,328,803,528,903,333,574,
696,271,972,464,642,515,938,460,972,641,983,382,843,537,975,688,845,296,609,
986,181,507,895,091,791,237,425,884,731,668,899,956,049,277,392,646,641,785,
902,590,818,662,487,183,342,148,097,121,982,714,850,440,224,467,714,545,308,
062,451,440,259,029,838,686,367,876,586,071,382,120,345,863,228,200,595,801,
417,248,476,895,279,482,549,906,417,926,020,265,685,742,465,089,270,440,008,
277,366,772,998,571,461,214,799,897,178,855,114,911,314,945,232,581,301,691,
638,172,603,238,727,118,097,033,579,551,290,054,834,888,322,564,858,136,858,
029,676,403,484,725,881,678,054,864,362,007,778,728,872,999,834,851,322,668,
007,729,612,595,050,722,032,956,683,018,434,271,799,169,692,536,234,510,274,
943,321,112,477,832,405,593,317,262,119,053,846,411,667,719,674,845,292,403,
078,120,833,229,555,760,397,815,447,255,950,793,137,568,684,429,850,368,677,
338,330,477,159,984,971,620,276,737,617,468,959,532,120,198,233,326,725,279,
921,426,504,167,964,796,463,554,420,692,899,835,584,340,953,357,968,948,251,
997,742,317,007,570,945,057,526,803,037,593,928,985,132,684,133,819,892,179,
645,708,354,018,179,568,020,252,001,251,668,884,958,221,962,972,690,216,606,
448,883,158,940,134,040,907,811,810,616,118,152,236,518,400,993,363,061,681,
721,970,141,770,440,371,623,117,482,321,947,817,046,687,508,487,347,554,368,
462,398,765,806,624,339,894,310,606,003,551,043,724,648,978,946,272,747,126,
032,615,618,141,042,010,257,026,348,463,413,401,196,650,313,369,778,164,665,
906,564,812,481,569,159,748,056,543,445,488,533,351,180,430,210,098,676,027,
275,740,923,806,066,518,995,058,552,236,940,584,526,852,280,215,364,341,506,
670,022,994,695,669,335,335,610,142,903,495,074,934,129,154,342,408,988,661,
016,641,276,559,283,972,437,683,813,552,028,172,828,487,777,722,657,875,949,
465,170,421,198,032,244,060,176,243,312,761,210,822,791,544,148,808,950,585,
049,484,098,522,155,744,489,051,037,596,568,729,477,509,763,441,203,142,706,
328,004,327,273,604,328,393,184,059,785,583,859,026,761,832,730,811,618,299,
477,089,266,762,707,849,826,159,025,277,166,449,588,536,542,984,903,390,336,
028,385,983,570,030,752,155,881,494,660,996,356,621,203,157,814,959,354,775,
490,955,792,089,420,813,030,315,148,507,936,701,277,660,190,929,706,800,566,
198,308,420,870,145,353,234,743,703,656,725,559,685,932,233,602,407,159,069,
334,710,825,850,238,010,724,856,675,991,692,041,604,261,972,408,876,820,991,
724,336,479,607,089,829,638,472,210,262,537,981,074,171,849,754,627,262,761,
300,305,463,191,781,899,425,774,236,972,989,038,760,652,927,581,866,738,847,
088,696,504,006,104,760,285,588,029,966,271,186,344,276,022,774,203,121,866,
683,956,757,689,902,393,035,574,108,120,097,312,744,366,846,448,971,213,751,
040,388,619,220,365,288,131,240,552,511,133,754,300,828,970,820,098,598,467,
927,932,279,098,347,167,791,097,642,916,733,887,843,158,980,516,160,860,505,
161,130,595,278,033,009,660,283,429,334,710,647,880,337,176,672,358,555,150,
852,794,185,658,071,564,881,734,086,481,575,668,982,470,500,990,561,845,630,
397,264,251,650,141,355,005,960,809,818,539,225,213,568,873,954,611,833,815,
785,211,665,852,194,601,359,112,004,916,491,767,576,191,839,651,292,917,149,
801,651,427,543,383,312,605,049,076,417,859,733,372,207,120,104,342,254,545,
916,102,361,994,119,444,778,156,615,188,077,745,501,951,219,751,502,706,179,
813,989,978,285,220,203,225,053,114,788,323,171,417,037,614,738,549,904,692,
486,720,639,376,040,485,509,278,696,610,726,289,177,841,158,504,754,800,979,
783,300,550,971,030,915,828,998,348,160,656,842,627,660,273,487,983,349,554,
387,640,314,229,375,860,144,981,664,123,811,659,705,005,245,667,084,511,451,
071,168,606,814,771,728,869,504,051,324,720,577,864,590,221,668,608,837,154,
281,380,228,177,178,429,920,357,849,361,783,987,061,510,443,203,671,035,657,
643,215,775,376,075,889,052,964,423,790,515,151,965,791,933,210,109,193,815,
229,831,680,611,333,934,102,062,238,834,063,018,614,892,658,150,997,882,845,
815,568,918,119,865,798,884,574,242,224,784,950,324,688,345,847,729,978,467,
032,024,513,904,013,523,375,124,976,166,966,208,203,170,102,674,559,836,443,
697,009,053,492,819,898,095,531,714,918,833,916,019,884,754,819,474,258,264,
006,711,498,400,944,100,260,219,904,323,849,115,583,879,702,388,551,321,856,
800,489,827,360,595,166,095,811,906,165,293,939,216,591,209,258,869,553,454,
022,188,812,064,854,035,581,057,810,042,349,391,940,998,235,091,623,702,856,
156,533,522,206,736,908,460,431,642,987,923,815,439,377,764,144,388,997,449,
585,917,038,239,488,683,772,463,632,140,780,721,957,845,684,398,259,715,382,
812,461,213,475,071,503,483,425,455,693,045,015,627,377,478,901,652,054,918,
873,370,472,767,864,538,593,914,820,062,296,766,314,347,404,161,426,783,354,
987,279,729,018,436,431,188,816,046,197,162,424,530,454,668,070,701,585,384,
583,478,052,997,976,095,306,947,317,256,628,571,233,429,038,500,936,873,261,
702,523,682,251,122,449,855,747,124,135,941,736,678,612,915,788,556,153,329,
085,157,067,231,533,176,185,980,923,998,724,357,800,171,592,432,687,867,938,
216,248,716,950,189,924,456,355,421,873,815,167,623,948,020,816,059,718,538,
995,744,567,492,875,722,250,037,708,922,157,518,576,514,679,297,820,644,678,
599,538,837,297,541,912,538,849,360,662,545,408,724,707,583,472,211,058,130,
474,547,744,026,556,703,272,539,687,725,391,687,438,330,886,283,736,657,811,
479,418,365,777,246,607,757,374,869,944,615,311,425,720,289,587,176,576,957,
437,988,996,284,072,291,792,856,567,633,584,277,323,658,211,004,875,801,375,
112,818,535,626,982,917,379,746,797,862,693,168,376,891,868,070,446,378,951,
833,460,612,856,978,321,077,441,054,808,212,578,003,643,768,622,459,165,337,
052,149,786,007,855,072,809,328,920,083,586,720,233,239,858,618,302,223,781,
917,909,930,395,501,176,662,613,345,645,620,312,565,717,877,557,871,030,539,
394,632,574,910,112,000,656,202,709,183,382,761,029,330,664,929,562,494,367,
503,777,452,846,714,084,472,347,388,802,996,055,896,633,993,323,226,599,831,
677,735,969,799,575,421,344,847,042,406,748,880,774,582,226,439,201,104,160,
219,726,437,167,914,047,968,311,892,323,515,332,184,573,564,294,488,847,681,
224,400,370,169,211,407,450,968,471,880,677,201,871,614,821,976,527,843,479,
418,155,913,432,301,211,765,928,768,364,240,282,055,696,061,457,060,216,200,
307,727,861,559,091,411,417,170,376,266,143,219,678,223,324,223,283,152,809,
858,010,540,856,436,194,909,493,912,732,772,330,230,487,081,865,434,044,391,
740,985,066,993,382,518,948,185,455,084,374,845,063,031,405,311,034,165,160,
133,528,790,284,273,231,780,223,615,576,734,124,534,974,901,061,088,229,147,
682,151,275,190,402,535,964,272,555,434,119,435,702,372,065,031,546,685,846,
165,339,958,110,326,323,563,690,527,411,215,878,839,217,095,951,826,459,526,
986,254,566,133,659,132,580,587,329,142,316,591,740,644,569,268,463,019,835,
925,762,005,941,063,935,925,578,458,293,627,719,076,417,280,943,926,494,781,
236,347,208,981,485,987,802,551,042,725,719,033,105,506,685,987,711,947,161,
124,126,800,908,464,525,370,243,177,848,078,597,043,240,613,364,354,128,023,
793,508,151,771,386,249,064,410,468,215,901,893,736,423,976,704,473,772,099,
594,923,734,192,274,126,532,044,640,552,636,753,843,101,047,905,648,230,900,
104,589,186,464,190,382,347,696,148,131,323,000,840,848,486,309,310,506,353,
950,944,623,400,968,194,647,563,282,088,100,178,337,960,922,046,936,430,455,
647,001,559,481,394,440,087,757,473,899,695,180,758,744,158,058,269,900,537,
945,968,072,156,255,497,021,201,643,957,020,936,103,172,669,507,259,171,511,
178,366,227,813,769,301,765,204,888,600,171,752,151,279,629,761,156,143,810,
435,669,569,648,524,544,490,386,879,541,335,462,980,745,686,152,182,134,200,
179,145,771,503,122,502,220,701,480,943,972,311,568,156,680,954,481,087,346,
550,366,585,107,980,917,280,825,294,987,590,790,648,868,996,973,308,499,880,
030,317,645,560,649,103,394,484,531,643,505,097,029,049,372,744,312,535,758,
674,051,674,473,109,524,952,686,992,427,872,484,048,191,446,673,842,690,505,
264,412,215,930,090,503,515,061,348,958,741,706,262,010,625,980,687,875,004,
548,794,759,400,137,842,087,357,258,093,262,483,260,262,063,231,463,655,853,
770,759,933,395,923,829,084,506,565,452,408,533,146,742,668,973,192,551,497,
886,716,560,663,531,268,089,723,104,127,863,119,874,108,331,207,589,755,404,
898,807,300,734,081,809,154,471,829,552,986,858,736,462,274,040,613,799,143,
653,072,559,346,337,052,279,847,226,202,555,802,293,748,931,804,494,605,171,
930,462,717,054,403,601,559,343,601,205,092,144,026,696,887,627,670,371,111,
620,327,360,751,731,861,172,976,655,594,556,719,916,044,298,632,753,143,157,
135,603,378,591,740,878,994,555,994,861,857,545,971,830,623,455,225,222,351,
810,932,869,501,168,978,706,377,376,531,901,617,175,716,088,072,431,734,647,
514,588,037,549,955,049,075,202,392,719,455,115,518,974,541,260,500,423,762,
946,014,720,215,089,393,824,252,838,834,568,539,338,103,220,380,750,088,382,
510,452,163,774,555,142,916,704,721,022,733,994,656,307,440,630,825,078,708,
097,908,058,521,352,221,138,603,272,675,290,026,528,651,446,210,653,275,178,
514,891,834,178,028,826,043,219,711,857,778,159,082,998,266,363,252,983,142,
668,767,929,780,826,937,591,015,838,112,445,559,218,481,231,117,082,362,710,
412,551,141,157,774,923,942,683,439,269,261,724,540,345,485,731,604,690,704,
157,982,692,443,806,285,272,783,225,798,989,635,606,851,215,001,272,729,432,
869,218,842,917,046,461,813,389,420,583,713,351,014,846,703,864,517,795,716,
352,575,303,819,755,149,771,592,229,837,546,211,378,899,041,521,338,920,209,
716,951,500,678,713,959,580,389,462,367,851,888,855,240,614,471,019,713,886,
598,503,462,915,087,000,827,059,078,716,759,006,390,066,853,319,110,354,833,
624,075,774,911,462,567,706,150,612,559,724,331,180,199,581,972,148,824,741,
649,807,990,729,064,435,210,674,800,077,770,276,085,729,096,968,948,208,192,
579,235,353,209,859,676,224,791,731,372,877,251,627,775,230,518,951,514,803,
484,311,348,160,796,744,018,743,528,574,302,693,096,059,363,962,682,199,786,
133,579,812,583,234,904,816,714,931,483,833,898,710,078,727,918,952,269,237,
289,279,985,120,000,056,928,883,061,887,698,850,482,382,334,984,619,639,801,
739,359,980,211,765,273,952,839,950,596,308,547,245,832,426,775,423,211,994,
093,703,808,620,737,680,492,686,103,204,589,066,986,499,609,775,426,512,246,
525,463,629,426,395,114,797,928,984,989,981,884,762,876,474,435,835,013,282,
184,928,243,607,709,209,500,988,067,717,428,719,299,694,695,499,206,353,723,
621,841,344,442,075,609,396,606,599,800,119,732,367,043,948,720,056,740,119,
764,078,800,302,025,056,978,299,519,516,057,682,116,946,616,666,578,931,463,
233,364,581,038,217,299,160,799,361,792,486,452,108,107,099,011,979,381,195,
073,689,357,373,870,250,885,539,866,551,419,333,167,459,033,161,871,379,571,
760,560,663,647,629,689,355,888,433,690,762,626,391,108,493,833,752,779,351,
724,976,874,019,533,533,499,921,160,040,112,681,697,449,516,989,994,293,587,
198,344,925,274,887,008,863,905,157,933,934,120,563,191,578,388,851,955,660,
948,617,956,390,481,191,799,067,578,186,558,524,324,854,407,021,855,771,946,
560,704,240,656,743,732,211,149,782,467,561,688,756,367,347,569,983,833,147,
228,932,330,173,008,445,919,773,819,992,408,034,469,669,914,963,004,069,401,
226,057,854,368,366,512,906,676,435,855,519,018,143,278,278,154,201,417,326,
220,293,590,061,264,878,663,930,610,985,475,169,996,790,967,527,782,497,208,
051,569,482,751,674,880,812,002,657,695,652,687,194,017,668,121,041,786,969,
681,620,478,090,216,212,702,588,693,833,297,788,439,594,164,322,373,009,720,
422,889,968,694,692,638,574,095,788,218,981,265,972,031,085,786,187,888,975,
828,449,624,400,479,693,456,666,787,754,943,487,155,136,457,575,023,270,988,
517,270,977,438,834,980,577,779,802,908,574,484,472,231,926,447,787,731,672,
522,131,019,607,282,538,898,248,979,116,631,643,845,042,769,154,616,964,383,
388,045,525,485,072,577,499,078,282,102,755,254,291,030,670,426,164,920,003,
676,099,037,365,844,898,696,120,300,567,902,603,977,252,771,040,625,266,701,
742,992,614,081,098,153,425,039,041,661,044,434,416,412,381,370,780,923,304,
907,192,172,358,396,131,647,123,338,438,402,781,801,728,606,173,335,952,642,
474,838,559,391,787,370,414,899,439,044,143,589,825,309,996,297,080,872,519,
258,411,979,133,853,036,001,058,212,823,023,879,087,627,127,018,115,486,392,
084,432,519,290,582,872,321,038,376,982,192,077,004,829,898,461,294,818,101,
864,026,821,768,771,178,545,768,316,119,763,175,362,519,871,723,617,953,757,
752,050,349,617,408,388,669,675,222,174,205,851,263,061,453,324,063,391,345,
981,515,856,957,842,565,576,245,907,617,716,415,581,262,588,924,908,437,999,
052,134,041,334,434,929,443,514,031,317,058,274,433,842,037,184,214,452,464,
221,001,416,863,321,804,426,375,814,554,177,961,159,862,055,968,163,186,231,
399,423,460,900,848,274,130,847,657,473,744,296,315,447,261,154,847,110,549,
821,295,651,705,389,789,375,700,468,238,753,331,861,495,475,852,218,646,748,
596,114,728,580,527,796,949,343,516,739,429,230,546,850,333,961,269,690,331,
828,409,365,528,231,974,643,997,864,337,227,828,926,582,055,177,883,488,361,
365,761,023,199,734,898,265,813,194,493,808,868,085,472,154,233,008,648,165,
496,073,215,393,739,959,229,573,018,193,572,178,768,459,718,258,291,746,076,
887,408,910,475,770,380,245,695,163,174,756,694,435,334,211,473,763,983,401,
671,962,279,370,717,492,367,220,522,661,512,760,494,300,410,404,846,056,566,
472,051,715,595,604,645,693,976,328,045,146,214,439,626,814,896,015,156,230,
985,815,670,845,915,164,107,895,299,690,989,282,057,729,180,972,944,114,446,
065,096,252,161,813,988,278,587,721,423,016,449,024,588,674,232,468,183,170,
132,615,586,241,119,988,391,865,342,813,352,360,716,182,124,317,944,903,920,
367,775,056,702,544,469,536,422,729,353,824,265,089,839,107,293,203,428,338,
375,964,791,625,682,444,944,599,527,099,172,303,961,355,268,176,430,235,911,
748,019,520,114,491,678,259,078,719,845,418,931,698,842,018,759,215,276,686,
298,303,277,177,845,152,135,693,035,754,120,448,557,528,776,415,842,965,163,
103,315,214,082,777,330,524,821,342,953,184,364,503,833,460,902,914,396,718,
942,577,645,580,725,169,612,014,011,338,098,508,720,835,017,321,134,935,787,
978,318,756,530,060,201,136,263,751,564,626,465,756,820,481,524,359,096,014,
622,478,494,812,877,800,329,166,886,504,087,815,623,946,680,064,993,847,037,
106,347,452,192,972,096,920,753,774,289,519,695,257,680,345,823,407,836,399,
499,881,757,935,820,774,203,020,996,353,062,672,795,415,944,743,349,919,608,
984,558,589,662,621,483,089,797,781,614,207,252,047,584,780,568,386,305,503,
928,894,388,207,196,093,507,861,678,539,709,292,664,441,930,770,540,314,631,
198,741,873,796,637,117,497,233,022,899,604,182,149,337,645,931,516,764,925,
752,698,596,760,308,623,108,432,010,131,586,004,188,621,809,768,792,728,252,
847,642,324,932,116,854,317,661,521,026,064,088,272,116,009,476,685,552,026,
801,148,499,373,092,120,200,545,476,899,013,826,535,079,205,279,889,329,185,
900,959,304,457,204,250,270,547,244,293,777,469,281,987,922,375,700,696,090,
841,019,453,958,269,750,847,233,782,456,861,301,674,093,690,492,241,335,731,
395,351,544,432,705,487,953,157,191,452,337,639,695,575,313,044,551,089,064,
733,064,987,204,540,107,129,217,631,981,476,794,798,976,027,273,632,831,439,
348,280,317,015,980,799,098,231,162,592,237,304,764,625,674,700,940,054,470,
149,286,641,050,795,731,038,338,449,303,494,498,993,033,362,862,869,878,475,
406,964,625,387,754,019,244,925,071,747,705,510,868,495,113,440,051,592,852,
029,865,104,747,548,076,661,006,347,793,188,356,987,993,140,155,031,960,615,
086,456,305,028,525,961,229,008,770,372,037,281,457,385,917,344,936,509,944,
316,379,714,155,778,984,153,056,933,033,653,647,043,676,312,393,769,018,386,
828,432,029,459,221,064,740,743,687,915,773,131,619,064,315,524,442,431,100,
449,268,907,500,323,710,522,491,380,479,590,223,813,262,508,412,210,505,618,
594,678,621,960,600,097,486,524,041,613,763,330,594,507,526,444,920,321,239,
432,817,820,934,811,719,527,429,526,911,563,146,274,620,746,533,890,175,378,
880,553,764,941,131,937,459,015,830,250,897,466,724,643,405,184,981,863,181,
103,571,944,318,615,025,214,344,616,336,532,087,260,134,437,081,967,829,164,
996,668,163,874,407,072,698,655,864,789,460,707,954,673,824,426,181,680,479,
788,202,392,572,706,523,405,416,302,339,221,013,092,135,681,597,282,472,696,
994,500,182,774,672,696,304,770,650,685,380,563,915,042,487,078,266,325,874,
594,807,436,548,928,945,279,110,112,590,035,006,501,709,616,357,329,509,072,
159,462,932,551,949,071,847,553,483,409,399,675,267,250,693,772,086,630,608,
153,354,697,349,933,265,851,268,631,588,861,831,267,660,807,860,874,840,113,
500,250,023,018,651,025,504,093,032,198,181,564,345,030,780,895,756,320,922,
102,410,878,548,252,633,399,209,478,128,753,007,198,710,105,710,193,435,163,
907,877,605,731,601,402,955,011,861,624,869,117,133,298,303,760,500,107,632,
023,169,220,274,928,022,794,468,427,321,416,868,578,231,962,159,026,720,843,
873,636,905,722,978,494,123,422,080,685,435,080,346,977,319,411,224,870,031,
182,093,682,772,857,871,132,880,066,899,304,219,742,030,891,824,803,306,250,
997,415,054,136,287,871,544,665,525,120,690,205,065,993,145,061,088,349,920,
136,431,311,507,108,219,150,849,371,371,182,482,271,242,202,531,974,418,639,
029,975,743,774,388,502,259,252,461,920,384,948,082,947,616,200,818,938,224,
111,613,650,046,622,467,784,965,766,553,812,365,560,896,789,729,964,324,413,
112,504,888,533,531,139,858,591,489,573,922,473,489,270,906,753,631,222,376,
619,196,593,675,486,260,340,869,069,820,682,763,740,516,520,026,234,356,499,
793,398,346,845,945,971,299,615,239,243,248,185,840,323,332,476,193,218,090,
582,995,244,329,732,920,766,807,659,122,412,206,553,726,626,646,005,760,933,
881,906,623,013,978,964,721,118,045,606,572,414,884,775,587,211,758,890,108,
247,381,520,549,311,891,876,050,896,464,960,719,471,424,626,921,592,874,161,
202,893,388,386,475,291,882,229,166,736,101,053,075,978,761,345,307,303,476,
196,323,155,360,561,438,536,126,860,689,102,511,109,688,703,455,082,978,065,
694,401,718,954,685,479,332,397,955,842,297,719,737,689,779,252,440,677,853,
658,201,068,074,530,335,059,709,407,686,394,377,547,960,632,716,440,399,746,
189,317,553,068,933,069,759,642,168,420,864,289,951,991,384,553,503,714,310,
274,828,055,589,847,381,591,157,463,867,976,956,027,898,554,286,782,833,403,
312,881,247,496,815,655,259,436,396,797,773,761,335,585,770,524,180,890,756,
786,942,241,052,532,794,265,097,355,858,448,937,841,504,700,642,923,470,813,
094,736,348,736,692,350,021,115,736,408,896,051,428,803,481,727,422,296,670,
486,681,016,471,690,972,646,979,206,080,400,843,670,185,920,961,451,432,118,
223,396,293,237,926,818,371,648,486,751,244,883,623,312,438,865,114,086,809,
239,804,873,732,624,028,180,130,568,642,082,817,646,451,069,213,565,865,707,
680,915,504,998,486,897,398,785,736,952,610,331,153,380,097,894,518,599,552,
852,962,881,506,298,396,815,533,922,927,303,558,829,882,100,837,223,597,331,
471,787,238,008,161,811,019,552,854,405,531,362,860,154,460,818,592,846,702,
472,688,254,844,653,229,331,605,075,878,337,455,739,057,596,720,110,244,891,
908,537,070,244,538,852,601,143,337,139,883,849,563,505,498,178,994,383,082,
286,527,199,469,319,988,189,051,317,060,998,940,380,264,852,797,179,759,191,
704,400,040,860,200,772,608,049,023,225,324,084,913,462,949,702,702,934,072,
629,011,846,273,671,237,326,821,074,789,419,980,472,381,723,687,275,704,767,
206,860,985,155,444,208,035,846,028,424,333,789,048,480,686,822,981,264,063,
482,808,287,659,849,711,331,687,245,596,464,727,595,148,058,134,391,376,994,
791,210,768,321,216,727,856,924,122,557,144,819,740,987,996,589,817,284,068,
904,069,519,715,961,325,753,819,243,084,083,644,213,922,532,235,326,763,058,
452,864,259,214,257,644,969,051,807,934,331,189,876,382,664,926,743,162,619,
904,257,880,377,030,481,266,577,992,466,281,854,942,182,642,347,761,920,202,
980,819,903,770,730,171,239,111,289,684,451,855,914,722,859,910,460,001,836,
035,308,177,793,091,392,216,595,730,903,264,447,442,071,371,519,667,494,420,
060,816,384,401,663,429,158,839,200,709,477,347,629,495,065,692,201,265,893,
827,000,641,148,176,683,754,572,420,519,173,466,986,098,301,456,487,238,615,
555,980,004,053,762,036,203,065,607,063,078,637,336,688,981,640,596,487,520,
320,890,522,655,067,697,591,213,344,812,462,236,733,909,408,254,300,143,871,
313,677,759,107,366,519,990,025,883,130,032,679,941,582,895,371,936,014,976,
747,304,213,221,928,874,693,885,456,162,604,019,345,247,644,588,065,079,985,
552,913,256,696,410,553,859,045,596,862,887,827,928,818,800,397,472,654,463,
315,051,814,545,178,277,033,367,259,327,489,454,417,135,665,105,552,264,982,
884,276,075,924,765,065,056,108,517,038,012,172,705,295,021,313,259,163,219,
864,962,721,915,673,527,290,918,027,745,898,794,913,983,257,163,549,945,599,
924,523,508,904,841,827,020,355,175,942,616,245,229,043,066,148,796,318,924,
811,387,569,194,848,087,417,798,341,779,589,307,764,272,909,207,562,980,905,
161,444,155,874,633,565,315,898,186,407,751,212,354,784,436,345,377,415,797,
884,155,428,398,874,342,910,748,666,142,721,513,431,311,248,924,014,772,534,
620,013,350,025,970,802,082,672,824,373,774,643,663,131,254,040,084,474,423,
641,583,897,498,786,806,284,047,908,909,861,060,797,233,318,731,836,010,052,
424,168,817,724,495,187,010,843,437,862,952,616,660,591,969,807,975,346,969,
266,403,601,662,342,834,668,437,626,060,593,737,328,970,724,123,157,947,056,
155,440,937,431,326,500,290,621,602,593,191,444,056,658,361,850,735,734,050,
793,257,790,097,573,585,551,917,839,849,270,824,655,420,415,039,293,607,673,
935,035,105,570,220,179,426,825,361,324,226,118,236,356,026,050,204,960,975,
277,872,612,115,003,914,878,034,579,953,506,101,926,412,897,797,868,436,173,
206,532,889,228,571,337,179,833,326,994,480,386,363,577,728,764,228,691,398,
640,401,661,889,698,355,673,664,200,837,635,871,687,469,382,656,121,889,192,
596,943,216,574,746,287,328,184,007,218,402,665,676,104,640,961,430,898,611,
330,746,561,362,447,193,064,257,439,460,280,448,497,843,692,223,334,094,695,
000,503,650,952,649,069,373,829,871,979,562,195,808,965,110,151,975,661,690,
312,419,852,745,008,860,971,836,307,745,961,143,847,047,631,583,480,306,436,
162,489,599,921,684,394,432,492,814,859,406,800,714,863,132,564,242,752,112,
744,691,963,909,196,149,188,347,436,672,559,467,753,034,882,471,930,204,296,
912,147,881,373,946,003,916,603,308,625,831,641,030,197,187,746,726,841,332,
396,610,861,209,967,685,636,485,899,529,253,428,691,536,279,826,194,273,352,
373,054,510,034,668,996,996,927,131,026,468,607,874,060,374,068,970,253,403,
176,966,373,277,659,074,143,650,047,010,308,015,005,927,159,254,472,182,590,
835,421,236,994,655,039,235,682,838,618,151,206,569,618,255,186,335,601,032,
377,612,503,254,871,314,853,156,849,796,444,428,918,725,671,752,559,258,244,
334,344,974,842,547,350,071,015,574,320,389,957,917,637,709,990,620,871,733,
293,399,980,708,873,301,888,738,118,847,295,736,837,571,905,232,763,578,803,
817,383,450,536,978,342,647,606,832,011,695,696,113,855,840,824,581,900,823,
571,343,794,712,164,118,525,301,056,095,967,883,220,346,967,271,383,691,159,
561,756,136,945,558,723,836,132,282,305,393,930,670,630,030,872,233,266,225,
278,965,895,041,487,460,739,167,889,750,214,313,776,363,423,986,890,178,513,
794,043,882,591,000,407,537,979,940,990,786,370,383,881,011,713,755,570,706,
098,723,282,643,973,257,580,806,134,049,638,473,408,767,569,144,488,774,423,
754,826,293,258,471,439,061,424,875,151,493,345,315,666,377,206,648,086,453,
896,983,454,730,947,688,077,861,482,519,926,098,055,279,135,416,732,444,699,
543,424,403,415,264,760,474,744,849,829,587,016,764,554,186,492,592,069,393,
555,580,557,035,529,742,753,020,225,441,136,559,321,749,584,535,215,316,421,
390,663,923,751,953,316,242,143,125,879,858,543,690,184,892,348,823,081,762,
148,355,442,833,365,175,147,056,841,399,711,142,488,026,791,428,329,950,871,
252,543,706,238,255,753,855,750,095,070,645,669,507,644,684,425,290,587,482,
467,211,969,929,520,573,625,738,462,676,334,997,001,028,347,503,208,266,283,
134,634,938,408,624,782,553,917,561,790,714,886,083,075,469,075,371,345,321,
750,233,562,433,133,681,146,214,413,238,574,324,799,365,495,136,228,772,024,
710,268,310,902,163,188,450,758,846,725,488,284,578,301,170,608,233,934,148,
160,642,604,965,487,141,755,859,048,664,237,013,068,057,435,484,118,040,409,
843,240,039,572,871,672,116,143,689,556,612,578,888,713,464,455,189,016,795,
553,637,804,508,532,409,927,741,967,950,597,668,794,511,746,724,550,525,593,
814,384,434,038,290,751,776,365,825,364,768,301,081,593,277,489,765,802,049,
483,005,923,715,222,983,036,910,844,414,499,617,104,932,240,072,172,081,856,
102,963,112,599,256,989,050,641,873,055,622,459,406,192,429,421,153,258,637,
601,952,132,542,311,137,380,380,071,116,273,303,662,372,024,823,456,729,927,
718,380,315,110,322,065,920,429,498,540,073,231,728,943,152,666,061,445,030,
888,786,926,787,940,973,003,609,137,914,808,875,670,781,572,927,428,631,634,
530,421,266,934,106,475,768,563,142,703,558,046,477,646,215,801,973,402,705,
240,319,230,845,522,419,521,697,210,214,764,325,544,768,869,254,714,645,697,
288,167,405,860,666,632,022,185,218,558,383,800,142,575,370,108,306,137,438,
229,952,928,306,445,259,037,862,376,057,670,804,424,352,249,267,733,233,555,
856,060,097,367,039,002,318,749,291,463,422,582,112,377,722,482,669,446,524,
677,321,598,640,091,870,627,111,959,037,430,265,803,560,748,580,155,137,021,
173,448,568,548,010,932,711,485,790,683,080,987,044,867,699,430,950,376,210,
561,941,771,639,300,740,785,443,081,048,846,939,313,274,484,041,643,426,257,
719,764,717,117,796,164,936,564,431,470,711,022,276,659,144,224,359,913,246,
298,502,053,357,713,283,823,136,404,316,793,990,648,727,781,487,408,389,506,
912,675,526,159,261,091,103,543,921,143,086,999,743,166,860,490,740,189,075,
892,651,431,293,491,155,155,316,265,329,599,392,987,591,450,933,628,305,564,
766,315,459,846,369,110,146,362,821,708,426,678,585,163,032,406,732,572,284,
042,540,003,918,273,236,145,998,812,905,752,935,159,390,255,097,107,980,516,
977,123,188,078,260,707,523,669,935,425,765,868,422,238,329,085,180,728,451,
396,124,665,465,522,840,805,058,882,672,894,054,829,164,010,621,076,480,525,
726,010,671,142,138,701,640,161,967,635,871,167,043,619,833,339,685,433,773,
264,528,967,634,232,991,550,672,400,021,143,594,675,018,803,646,624,761,457,
527,774,862,037,301,407,799,011,262,455,945,872,746,743,954,484,203,433,677,
178,220,489,598,537,067,119,297,860,256,608,151,429,538,027,292,198,578,907,
736,603,456,937,409,920,246,679,974,707,633,226,391,730,361,783,672,543,869,
132,202,165,745,312,022,702,426,777,843,723,219,424,156,085,754,001,355,055,
776,153,203,724,418,740,284,397,473,605,798,482,467,327,772,184,546,574,132,
170,937,339,595,022,383,165,727,550,611,771,354,980,862,701,810,055,445,496,
877,604,554,900,582,341,114,666,636,078,942,897,104,034,742,768,225,209,996,
504,259,611,918,137,058,214,200,497,136,159,698,945,700,219,649,924,811,437,
492,981,455,940,827,297,880,552,830,216,865,334,719,522,666,023,403,026,680,
976,808,744,115,729,836,783,712,576,872,172,827,656,169,508,679,731,279,712,
808,098,710,431,834,343,078,091,567,945,784,237,436,042,674,180,177,473,433,
859,750,881,933,039,291,172,584,947,600,344,720,435,537,640,199,887,783,951,
872,912,513,439,145,888,153,937,744,963,738,483,368,772,270,726,907,675,493,
966,313,717,546,817,959,226,388,496,676,128,739,179,613,107,816,399,177,901,
404,449,165,814,390,909,203,769,431,486,286,615,604,513,421,467,638,092,241,
518,710,413,956,685,636,521,694,111,503,319,845,142,604,628,626,197,083,225,
534,730,633,975,517,613,257,661,647,084,817,200,095,260,541,717,993,528,048,
302,543,476,209,271,130,728,985,621,676,654,204,359,878,698,683,070,169,710,
834,187,152,346,033,096,988,762,458,705,699,611,382,910,852,602,765,612,171,
596,256,956,433,617,847,632,000,729,568,278,570,390,593,588,297,061,903,291,
229,165,783,979,686,830,156,136,931,019,383,745,858,064,325,506,391,931,006,
555,799,581,511,066,337,296,647,594,690,247,170,311,222,880,168,644,161,741,
111,965,633,487,248,991,958,697,293,660,542,257,001,156,936,350,406,561,006,
777,550,048,568,126,201,499,146,808,779,581,079,718,860,546,240,127,038,019,
240,414,232,229,453,470,657,063,626,362,432,268,384,973,766,208,689,339,075,
230,537,897,026,508,949,856,051,770,167,299,832,502,125,872,038,630,972,887,
253,208,981,658,870,205,994,671,220,923,911,747,619,972,384,030,378,438,422,
659,903,830,907,704,488,271,189,301,442,501,548,589,921,286,415,358,903,733,
898,012,921,153,585,963,514,301,005,521,368,862,202,121,272,654,216,704,632,
539,210,763,189,376,056,006,422,484,210,111,622,644,934,739,979,324,885,661,
442,940,670,634,269,829,347,650,141,909,623,760,216,845,293,011,676,090,875,
255,716,805,265,341,173,234,216,432,881,062,678,513,726,314,672,005,359,297,
348,011,475,510,486,769,155,249,494,422,634,460,669,151,425,801,096,691,812,
682,064,067,607,562,925,854,845,333,424,430,467,880,404,734,393,817,310,584,
688,359,516,503,473,531,640,623,733,975,963,306,695,643,886,266,915,978,555,
503,651,627,066,089,158,463,877,053,934,984,438,254,138,421,857,799,398,750,
426,350,915,464,551,428,905,360,660,379,179,816,020,891,622,720,174,858,408,
878,752,130,575,935,635,367,861,932,351,354,048,933,517,749,801,377,777,313,
876,951,106,291,825,940,870,878,909,463,630,026,388,899,709,135,543,052,010,
829,947,196,969,158,657,139,085,526,392,197,093,372,152,250,679,622,952,850,
488,869,095,534,288,618,406,067,374,553,723,313,351,711,678,570,035,857,166,
329,373,452,169,338,540,721,488,594,379,633,488,455,711,866,680,677,744,673,
165,841,070,460,092,158,305,364,854,411,496,795,621,107,715,351,441,165,695,
535,813,648,354,700,577,036,760,283,869,186,988,361,392,577,461,476,326,391,
765,556,383,359,671,422,422,385,712,950,255,444,116,048,900,910,488,797,633,
144,155,248,010,916,657,201,369,437,033,356,454,497,184,609,730,363,775,467,
286,181,558,224,214,085,128,291,799,855,558,123,731,964,689,038,828,153,606,
649,410,165,417,727,991,478,948,981,695,837,678,984,807,159,585,738,465,732,
155,651,182,452,093,006,153,452,200,214,257,603,451,060,852,476,958,362,340,
960,169,130,155,492,319,788,218,999,556,986,614,484,316,036,049,917,420,120,
651,070,819,266,950,923,097,763,827,213,684,833,961,329,290,466,838,865,598,
096,862,985,632,060,966,829,671,959,733,190,327,590,350,205,397,698,012,318,
339,654,751,406,007,787,309,622,774,659,618,661,798,077,845,842,261,089,573,
615,779,003,710,213,504,022,587,912,369,487,812,297,092,065,544,343,899,627,
825,196,801,601,121,568,348,373,557,550,406,566,379,279,655,731,362,875,226,
480,580,947,554,038,148,557,405,551,922,155,599,569,926,951,226,137,092,310,
913,706,474,099,790,839,967,523,352,336,015,645,445,785,362,534,918,355,269,
251,520,445,960,683,451,915,100,105,220,348,750,378,302,622,587,354,036,586,
815,456,664,640,137,841,539,854,961,856,009,475,869,187,105,151,771,283,919,
642,729,777,562,682,753,540,511,524,540,996,826,840,886,478,249,687,110,760,
669,971,178,598,157,593,759,095,964,793,516,249,349,135,436,274,064,057,384,
761,924,580,716,625,493,533,256,247,709,559,161,036,637,168,179,506,801,992,
852,083,398,012,327,008,591,495,726,399,954,708,376,475,240,101,275,317,674,
695,426,931,114,552,462,176,254,797,208,871,275,938,441,107,788,410,766,938,
461,670,526,431,325,534,133,446,081,504,847,716,666,691,192,870,313,890,503,
097,267,098,128,281,084,163,186,661,466,059,489,366,990,234,304,554,062,955,
657,452,490,657,072,952,388,988,976,255,403,799,749,322,444,494,059,082,992,
151,247,511,735,343,356,803,119,120,923,075,775,938,923,182,223,393,945,228,
475,075,623,618,787,066,606,654,301,146,725,224,082,294,584,593,806,108,286,
722,834,173,720,784,270,689,554,453,238,466,465,781,432,750,059,958,023,514,
277,293,183,869,311,834,066,317,114,927,164,152,798,454,023,966,430,822,861,
143,371,561,843,632,595,921,256,426,891,881,998,344,149,997,727,435,757,438,
186,492,484,013,000,214,286,455,749,863,426,227,934,287,072,606,758,709,889,
550,440,624,616,461,985,964,144,911,926,462,351,161,169,240,988,812,721,975,
690,275,683,109,853,983,562,580,878,656,291,321,717,976,722,617,874,007,267,
607,547,474,681,231,235,622,376,006,124,881,747,578,548,327,842,247,290,574,
393,846,922,837,276,614,031,083,910,989,940,064,809,493,579,896,936,621,388,
073,623,518,455,273,038,465,868,138,673,388,399,808,476,988,322,617,238,832,
875,239,021,815,533,326,252,347,922,853,914,957,888,288,272,611,884,974,724,
214,960,797,376,662,664,357,496,323,649,465,846,625,168,287,039,463,151,841,
129,063,449,440,277,555,098,231,789,919,633,201,630,129,936,511,995,386,779,
338,564,854,648,709,045,205,252,384,781,896,987,075,828,846,801,172,168,978,
916,649,613,781,212,911,820,929,391,747,056,208,066,918,153,947,710,702,903,
673,637,855,063,540,162,382,022,966,863,687,870,008,314,549,227,776,150,721,
385,834,929,413,186,933,800,601,992,129,046,738,015,769,765,037,970,085,496,
090,445,234,708,396,659,830,184,930,689,829,070,105,123,128,800,828,039,814,
647,667,081,682,088,818,010,045,283,898,202,011,877,638,948,193,968,245,080,
356,665,945,880,466,374,918,871,822,675,772,710,649,026,921,458,556,768,020,
036,448,183,587,887,011,329,860,828,911,031,243,157,723,183,426,509,253,999,
814,427,287,310,679,087,821,348,288,713,192,147,576,535,263,276,534,826,420,
159,589,881,540,759,746,802,753,911,708,444,013,965,408,371,072,835,276,102,
652,730,839,676,864,015,147,025,067,912,847,120,343,253,896,344,152,217,943,
374,402,535,372,054,301,433,908,690,304,256,320,701,376,389,477,727,199,521,
189,824,123,135,494,064,513,502,194,441,662,200,586,723,386,573,847,866,578,
503,304,320,371,921,826,965,886,803,418,878,752,206,804,372,745,550,188,423,
290,276,264,792,335,347,537,843,541,131,649,852,545,252,337,122,655,643,110,
443,710,234,705,904,321,736,252,212,641,401,672,687,424,543,339,978,589,359,
638,406,573,092,964,984,491,605,179,950,089,675,866,292,685,268,282,373,338,
905,314,687,843,360,807,629,238,955,150,702,205,914,885,879,772,854,553,962,
223,442,105,499,885,961,265,600,646,950,566,151,069,437,146,765,048,958,366,
532,491,434,614,155,917,841,064,432,424,870,261,512,894,218,793,032,744,451,
188,275,370,739,871,660,303,251,184,015,588,528,171,278,255,987,154,876,400,
582,024,564,623,358,913,104,483,190,458,595,077,497,613,406,112,269,265,506,
428,219,564,354,849,206,052,014,731,438,827,346,990,455,856,963,958,670,365,
673,714,971,680,123,949,189,088,082,156,642,457,780,096,532,696,491,940,239,
312,335,733,996,666,426,500,610,826,375,748,026,499,856,413,380,357,316,522,
648,838,283,611,142,686,158,179,776,855,763,118,750,429,403,280,328,427,833,
287,219,746,741,162,044,596,415,368,740,458,163,777,621,516,795,460,842,464,
343,856,008,736,612,161,787,161,793,687,948,806,908,231,618,758,269,338,976,
330,432,198,077,453,094,679,581,806,499,157,241,667,039,070,157,445,854,572,
891,358,857,544,601,982,428,483,310,988,762,382,451,100,153,644,699,571,885,
267,865,544,102,140,513,715,768,028,829,627,317,652,485,731,050,680,380,136,
070,029,633,811,181,081,840,216,020,065,350,804,319,485,486,719,222,963,686,
326,064,754,631,170,843,709,548,753,827,194,212,724,435,849,861,374,753,328,
879,346,686,040,422,281,990,596,540,408,461,103,113,385,289,596,916,797,875,
034,171,046,931,447,381,197,049,683,179,024,823,058,567,489,291,729,232,396,
008,189,993,918,761,557,651,960,695,907,691,354,621,150,657,966,779,573,952,
871,064,032,261,089,809,257,522,685,690,358,130,955,084,741,496,197,696,195,
739,458,352,160,353,595,775,033,270,318,438,416,486,953,972,336,859,105,696,
473,249,733,097,465,021,673,429,111,425,225,852,281,427,556,173,250,895,658,
142,837,062,039,826,438,466,964,047,025,152,872,684,157,222,883,976,179,113,
282,220,995,837,479,448,170,582,476,845,213,295,164,001,188,784,601,115,493,
412,666,915,026,413,162,314,454,056,952,316,828,188,619,069,010,098,099,003,
865,992,035,816,603,631,445,364,311,515,647,013,171,002,531,987,000,810,378,
204,877,155,854,071,046,087,833,273,868,092,040,209,773,518,356,701,791,086,
115,111,811,322,162,402,376,545,374,270,869,605,003,801,968,783,044,103,673,
284,349,112,957,210,545,403,198,674,600,336,361,152,395,103,067,012,206,897,
415,777,369,025,003,975,976,750,378,405,055,241,407,480,195,258,295,677,052,
417,196,333,123,228,059,230,377,115,276,587,090,642,683,867,509,324,664,983,
705,112,947,554,796,035,123,188,507,483,426,137,904,401,339,027,869,504,973,
128,409,924,957,195,829,984,312,045,737,351,639,750,260,176,837,345,124,347,
650,883,144,710,303,888,887,024,508,554,628,362,994,970,124,648,702,785,660,
266,882,688,745,111,298,617,500,319,856,900,626,313,441,900,619,833,217,358,
572,211,057,834,522,872,781,195,561,739,700,682,595,144,247,232,596,878,689,
397,888,320,597,330,240,691,272,487,543,644,998,282,228,012,943,079,589,808,
509,015,384,263,338,755,650,852,088,573,554,126,239,228,736,012,714,550,983,
597,502,019,032,582,491,660,314,286,336,453,704,484,771,699,597,479,205,057,
470,244,889,693,523,247,619,187,200,414,167,950,520,360,506,161,932,082,712,
319,514,674,826,691,266,534,668,229,940,472,748,565,805,014,121,451,319,146,
542,767,029,684,977,500,420,478,320,768,330,791,219,412,805,974,135,958,950,
205,624,803,242,472,246,144,608,959,606,188,512,978,712,568,740,730,467,980,
038,942,921,316,827,546,023,094,874,412,945,473,937,920,254,086,194,319,326,
361,778,108,193,096,653,440,548,190,804,983,083,776,603,318,076,524,933,762,
768,151,139,954,946,577,766,136,462,198,771,135,364,629,525,183,983,300,659,
937,181,856,724,215,879,574,270,121,693,417,746,693,992,293,922,778,421,583,
284,144,788,732,169,911,334,745,947,448,951,682,407,017,148,672,004,810,051,
099,823,016,536,175,709,820,827,287,862,841,070,767,322,011,409,016,625,198,
320,710,611,519,613,403,704,005,756,365,572,862,958,137,855,505,728,985,628,
093,517,635,614,242,429,919,971,873,877,353,253,608,138,151,265,640,044,437,
774,046,137,687,267,895,882,247,114,951,675,795,647,756,782,258,392,044,780,
989,138,458,842,147,760,054,220,353,456,259,700,620,837,133,599,830,781,444,
918,156,972,491,579,083,380,423,559,397,999,620,886,741,069,275,927,236,041,
937,495,415,349,140,605,215,436,383,335,016,753,898,643,620,862,012,502,620,
671,550,567,042,878,596,513,017,681,792,429,318,058,689,727,711,931,088,195,
840,285,052,517,066,626,194,863,481,032,042,141,783,623,671,997,547,447,517,
980,616,154,872,352,018,400,553,128,154,166,686,082,711,989,677,157,140,431,
152,293,435,094,915,904,061,076,608,514,380,064,221,869,942,874,053,193,875,
756,590,030,325,352,492,557,686,914,222,942,645,121,385,904,167,521,070,084,
051,895,682,301,399,848,441,007,028,046,357,571,618,958,544,503,268,117,060,
295,643,057,277,789,788,901,666,937,567,752,654,618,183,874,682,443,685,456,
410,759,733,686,433,637,437,000,773,598,047,775,064,203,185,261,171,612,118,
500,447,785,049,639,412,095,065,678,466,621,453,565,969,891,061,617,342,154,
896,069,964,358,785,493,688,262,520,402,621,633,430,048,666,934,676,580,532,
176,686,330,864,887,250,140,240,260,577,873,005,314,207,669,237,838,688,447,
113,167,666,673,352,458,063,843,154,527,379,990,515,833,643,470,129,021,835,
909,010,883,160,565,509,919,804,885,908,427,317,367,999,564,082,870,798,136,
697,260,269,575,324,384,751,422,261,156,107,203,035,053,127,640,168,102,118,
865,802,704,695,472,586,852,137,859,079,569,311,261,144,976,898,218,574,618,
594,865,031,307,149,276,805,105,245,453,632,578,961,860,961,024,568,433,324,
389,502,546,376,484,365,092,867,077,470,000,916,127,695,758,784,544,401,982,
733,737,685,691,716,071,071,823,161,801,131,904,473,622,403,711,281,385,870,
645,506,632,119,466,794,293,108,264,010,909,373,551,843,282,690,380,457,365,
010,932,135,728,929,708,648,798,988,068,905,254,471,667,774,240,957,854,933,
354,582,914,404,767,819,986,492,523,386,997,077,469,863,192,649,057,445,587,
027,786,933,262,869,115,974,064,161,452,712,540,420,987,969,578,727,874,471,
651,477,704,319,814,636,593,097,631,581,669,468,152,114,359,386,167,028,189,
534,662,331,182,399,103,901,527,270,974,906,646,101,752,035,439,633,444,549,
274,829,156,071,016,297,097,478,175,548,338,685,671,078,789,005,754,318,720,
663,375,812,656,687,845,030,357,965,020,962,682,141,421,764,017,663,716,981,
153,125,488,902,152,335,478,526,821,439,018,613,598,632,354,538,847,382,664,
539,316,837,603,493,514,291,395,929,179,240,677,104,065,052,640,508,393,325,
760,817,298,826,369,514,248,510,320,844,692,367,975,316,946,098,578,774,382,
801,525,554,430,094,429,158,071,592,757,589,214,617,220,694,773,366,351,637,
225,353,148,613,324,112,325,706,763,524,982,322,473,645,999,975,267,132,740,
053,704,308,247,826,074,223,689,384,773,318,533,076,118,967,952,294,206,257,
839,342,145,230,025,729,188,820,254,008,097,584,472,275,067,075,328,081,436,
719,514,010,608,105,533,859,938,014,580,990,813,257,493,346,147,218,905,136,
540,373,645,252,350,908,837,527,622,651,563,539,908,867,584,966,667,552,801,
069,462,884,711,084,333,818,767,618,354,339,543,133,730,855,337,305,804,123,
456,172,003,133,119,240,209,173,516,698,514,893,523,425,082,881,007,094,911,
877,680,288,045,190,603,465,058,279,450,018,755,091,670,320,043,398,477,751,
412,842,379,423,145,879,915,476,637,278,132,527,841,115,338,100,448,497,038,
169,896,022,243,081,601,451,728,408,795,839,281,624,708,433,845,434,451,338,
377,855,603,694,148,538,880,950,990,986,865,491,022,305,395,282,387,912,064,
688,014,248,371,628,309,898,049,842,622,090,977,610,154,777,741,273,271,761,
579,958,557,763,784,825,801,568,233,111,594,325,593,986,664,415,184,062,920,
708,783,212,701,502,142,319,567,568,316,347,114,297,184,929,052,050,370,674,
681,250,601,793,153,008,408,426,411,365,611,278,446,875,566,279,648,035,401,
138,657,301,647,458,627,714,680,016,444,043,122,509,917,972,385,109,553,077,
439,659,818,022,124,057,855,841,688,312,238,842,418,441,735,273,723,549,930,
286,804,341,286,356,976,802,602,058,627,762,118,477,964,909,763,497,736,453,
826,118,185,853,249,583,876,731,536,695,008,631,439,058,427,840,056,716,927,
558,670,233,899,099,802,244,717,697,483,301,841,377,631,900,493,788,458,670,
315,277,356,291,732,225,327,590,522,944,811,860,600,892,724,927,882,051,255,
172,605,381,319,453,848,041,723,611,702,340,613,519,909,655,625,793,659,076,
288,875,519,123,626,352,162,090,878,396,449,473,517,195,845,314,963,711,397,
979,749,052,573,007,371,583,334,720,373,047,169,616,323,784,669,462,718,891,
940,723,195,963,043,307,696,032,993,844,701,715,240,809,967,726,235,248,373,
396,113,296,536,229,332,760,158,694,053,032,487,194,475,235,902,762,878,674,
583,404,871,991,026,937,606,669,561,901,510,301,617,651,934,583,840,956,473,
961,665,860,660,257,479,305,168,840,126,278,200,515,976,003,682,599,992,137,
988,755,390,846,262,679,602,576,508,352,521,902,362,482,802,113,772,546,305,
566,398,853,736,669,866,185,876,093,098,595,415,660,288,404,078,200,603,903,
799,965,071,512,028,804,984,468,514,338,252,738,688,557,795,485,806,052,342,
869,115,458,220,094,869,879,085,418,022,135,204,409,650,371,932,243,307,370,
729,717,012,289,163,924,260,827,842,193,074,546,446,590,831,244,302,105,715,
076,388,927,873,432,163,852,740,456,705,496,781,820,677,597,153,063,686,141,
490,423,537,479,801,815,701,717,038,931,780,123,324,535,066,229,866,295,382,
188,473,487,203,464,452,538,207,259,746,453,090,589,987,978,552,520,090,626,
719,688,815,784,804,449,897,506,857,622,835,901,260,231,058,724,106,068,908,
149,624,685,548,401,243,625,247,438,422,539,701,785,234,684,689,952,249,936,
375,610,979,779,795,742,649,037,191,243,834,679,641,843,396,829,162,050,258,
238,130,870,697,093,091,229,412,895,835,060,198,951,429,479,754,633,336,651,
106,720,245,809,267,314,821,280,111,511,970,211,470,223,414,790,001,116,550,
068,403,782,304,178,716,350,282,603,385,477,034,719,917,220,463,610,591,151,
889,383,066,191,766,446,236,784,794,333,114,471,968,795,093,876,155,348,324,
694,565,908,984,386,939,173,937,523,648,425,053,068,989,434,568,875,797,439,
707,582,576,991,916,892,034,909,448,933,622,624,859,182,743,255,664,544,083,
001,422,741,385,368,289,344,761,175,198,984,161,014,897,448,825,689,189,667,
482,253,890,972,961,621,000,173,093,768,737,664,796,145,045,967,933,958,153,
896,215,391,083,103,396,475,843,136,310,529,574,226,538,252,495,693,655,248,
147,754,754,814,762,324,260,228,977,048,233,075,709,869,299,800,379,534,075,
844,435,774,633,568,027,817,673,785,598,412,684,219,824,946,046,506,830,037,
188,948,999,783,282,071,509,767,811,255,712,365,888,690,084,519,316,056,875,
905,646,869,033,582,610,857,965,131,656,631,938,857,823,111,170,098,952,010,
692,651,246,279,252,111,514,716,540,695,173,581,852,025,804,667,667,592,791,
619,235,666,162,987,536,061,683,402,123,129,876,661,625,258,125,061,200,412,
843,500,475,639,486,651,721,505,454,627,830,391,261,097,170,619,376,534,809,
364,986,214,416,866,427,192,316,980,425,605,914,054,433,755,600,232,365,786,
969,008,771,111,165,529,483,009,672,751,509,711,114,118,823,244,348,261,230,
217,064,253,577,761,054,741,443,725,428,284,535,456,468,136,493,826,441,772,
489,365,332,398,891,438,929,840,224,874,981,687,763,887,255,104,911,572,040,
680,639,992,729,046,117,114,457,741,446,947,582,922,646,580,776,729,475,610,
009,491,713,461,415,861,287,769,776,784,814,326,185,124,613,730,229,763,114,
987,724,420,758,684,168,819,601,181,668,187,579,864,240,087,435,665,864,473,
273,575,991,962,457,323,049,845,001,608,007,369,874,230,638,149,464,420,617,
012,487,985,129,468,903,706,431,308,197,999,884,670,436,152,287,857,004,866,
490,375,252,222,344,328,517,071,763,746,068,751,552,568,827,522,185,496,569,
250,339,903,487,444,161,707,363,769,266,359,307,972,151,180,065,279,782,528,
988,973,202,295,180,400,096,156,804,454,994,947,701,096,209,098,067,370,619,
764,147,251,003,982,311,263,224,098,005,258,955,306,863,676,864,847,676,539,
955,674,648,220,598,004,979,913,352,017,430,570,068,288,096,359,285,712,624,
301,878,775,959,035,169,224,028,175,674,616,090,270,583,830,907,678,715,280,
793,219,298,333,333,947,898,041,604,781,990,464,440,518,031,014,120,724,015,
223,890,136,332,307,945,609,531,029,613,140,929,024,427,218,262,570,943,808,
918,131,637,533,511,973,268,060,821,706,491,496,229,573,224,094,025,890,747,
955,990,881,489,796,216,870,974,738,159,952,391,704,760,799,830,362,716,579,
795,646,848,878,860,887,121,405,268,062,454,876,226,578,690,491,539,892,214,
887,360,442,662,794,979,841,558,258,230,331,179,422,376,309,455,219,913,506,
026,298,396,989,028,814,175,786,499,250,014,867,790,452,065,988,333,006,124,
292,668,189,429,091,127,387,896,981,727,515,319,186,710,375,873,388,422,541,
582,652,806,800,493,789,784,583,971,272,881,283,737,522,729,312,408,546,852,
795,815,954,573,969,160,659,810,857,016,925,079,061,835,109,266,354,531,144,
339,269,489,376,642,492,048,438,900,664,833,240,845,037,139,780,450,793,370,
121,342,843,485,373,625,518,300,837,589,484,397,326,011,257,236,095,080,190,
544,924,352,286,225,116,426,212,482,838,401,751,889,997,326,020,094,886,810,
383,369,909,214,437,135,071,174,477,237,074,133,764,672,954,758,156,072,867,
395,465,241,412,095,620,524,358,661,930,834,323,317,658,308,983,768,338,202,
152,444,871,374,549,113,496,493,073,528,629,598,963,654,265,650,470,687,978,
716,952,736,533,189,397,500,069,153,716,744,395,439,585,933,568,585,828,307,
199,399,557,128,084,122,482,946,549,652,996,723,643,609,473,692,057,083,675,
125,179,714,783,102,384,280,692,075,451,580,569,801,432,643,869,032,494,158,
153,648,377,762,886,088,909,202,167,526,921,632,960,747,570,402,767,743,961,
986,499,674,590,883,729,384,243,522,894,917,508,935,344,653,144,038,048,155,
902,170,604,850,603,617,129,559,718,633,177,702,732,196,404,714,652,457,903,
409,911,816,888,944,680,605,903,078,173,256,700,012,791,554,594,616,411,879,
930,100,096,294,280,581,298,809,114,977,486,293,355,777,049,382,284,843,714,
633,500,755,780,969,590,757,599,516,963,169,381,620,063,273,155,557,861,718,
874,905,284,747,248,863,394,393,434,044,194,305,022,675,704,575,671,746,051,
857,181,450,127,239,388,705,704,171,077,878,408,578,566,445,133,370,596,067,
974,914,213,580,408,131,086,988,524,602,861,073,913,683,564,597,685,916,862,
016,560,305,057,190,057,429,963,196,197,710,338,172,511,799,961,353,058,307,
071,290,722,262,089,250,468,160,970,417,107,079,261,877,552,384,524,314,284,
673,149,034,594,571,822,905,288,906,324,244,773,159,217,738,666,301,380,660,
369,965,032,642,007,908,800,287,546,662,421,012,629,744,420,370,072,237,164,
325,763,597,224,501,400,649,631,843,043,485,403,385,292,941,746,237,581,236,
379,970,759,533,366,060,183,538,430,192,480,618,626,820,869,227,079,537,589,
030,934,170,806,416,155,168,038,136,679,819,395,229,392,723,440,647,347,860,
540,417,498,821,025,258,936,033,013,756,460,538,517,461,379,769,003,234,818,
115,458,793,014,327,431,756,783,577,750,726,185,131,057,357,851,507,593,913,
276,772,568,692,227,656,093,959,037,773,731,829,147,911,917,351,207,142,101,
198,171,150,339,747,993,293,537,747,743,716,873,478,712,979,899,083,480,221,
922,789,064,863,316,891,921,800,518,364,004,039,970,737,722,397,019,591,145,
701,988,996,785,370,865,656,794,884,137,252,791,151,550,043,849,344,069,375,
448,559,064,663,519,768,347,821,492,898,154,883,367,212,895,285,416,545,951,
287,832,348,933,732,185,034,546,647,286,023,099,338,905,504,582,444,733,682,
346,410,408,931,911,963,687,458,447,662,293,588,295,394,306,342,092,070,166,
413,972,233,134,859,673,605,072,200,180,289,959,586,546,167,917,840,846,868,
369,141,850,147,617,706,512,846,031,007,735,054,047,015,162,159,375,445,203,
618,509,357,425,883,561,029,296,465,380,686,628,922,888,571,178,563,950,452,
655,749,449,221,943,188,862,726,106,838,879,009,097,408,937,222,659,741,973,
507,404,246,128,618,580,027,134,927,657,184,680,220,156,960,711,913,155,216,
753,006,481,990,209,374,067,285,182,517,489,131,575,680,465,925,966,501,196,
007,088,110,514,951,969,565,331,538,467,103,278,005,900,918,502,632,936,210,
074,642,087,005,468,985,796,670,815,813,697,895,810,770,395,119,498,835,637,
950,872,877,594,696,604,476,974,848,247,636,725,196,289,996,053,652,730,734,
829,513,734,977,448,410,221,949,942,879,249,420,277,332,864,204,629,898,609,
160,425,003,419,463,832,377,769,330,753,254,409,397,078,417,541,225,784,617,
623,791,929,108,843,132,201,483,717,157,174,886,060,198,822,540,604,215,950,
298,365,233,615,493,251,413,671,832,413,979,211,470,380,757,881,732,959,057,
323,719,458,331,029,375,001,732,587,991,573,292,613,667,936,245,363,040,985,
827,329,748,874,640,906,480,935,451,827,628,094,924,136,682,087,942,386,137,
545,112,571,943,368,889,174,399,098,585,162,456,338,184,883,884,038,528,848,
444,929,160,415,681,564,576,780,727,561,318,929,166,090,081,875,728,810,979,
211,862,701,703,965,330,606,752,602,182,922,194,663,697,726,115,697,654,621,
049,373,459,982,761,756,204,757,437,703,099,697,976,757,224,585,865,999,767,
694,468,927,710,898,844,298,430,361,987,925,027,106,504,113,224,483,240,704,
697,141,865,024,937,716,355,127,118,353,019,906,233,457,027,715,065,387,773,
001,673,731,785,631,142,545,123,099,056,205,070,443,623,145,707,740,104,203,
216,383,125,239,191,321,835,426,483,776,817,087,971,884,908,174,908,699,082,
551,668,957,310,478,430,619,679,927,243,943,605,955,978,453,252,934,601,899,
761,509,399,725,192,206,459,589,625,860,822,050,481,916,472,296,881,924,125,
674,718,788,904,680,419,770,318,577,419,883,293,979,535,834,744,553,164,634,
258,997,474,765,954,356,208,381,774,903,823,660,494,405,922,077,675,036,336,
416,498,588,697,837,804,866,163,392,101,594,617,125,790,122,269,096,719,314,
179,321,306,853,415,048,553,798,264,353,886,846,328,439,858,170,321,177,373,
908,464,745,878,162,762,875,973,657,013,403,612,918,175,394,530,975,839,243,
864,996,280,955,868,205,503,320,300,072,085,130,835,850,605,898,197,332,666,
005,185,001,026,129,456,018,355,332,884,595,029,223,020,360,057,688,774,315,
721,184,756,411,717,889,278,720,615,427,604,828,599,279,732,459,069,484,013,
869,833,995,209,627,975,540,333,235,439,983,903,008,789,465,529,228,501,929,
249,239,630,281,953,671,098,708,797,541,669,034,158,641,005,392,579,567,993,
237,044,307,900,277,052,429,249,186,415,129,359,235,156,938,249,038,088,645,
396,719,398,554,028,400,318,255,385,051,261,223,298,939,910,389,988,218,661,
396,748,031,343,053,710,743,441,868,093,924,057,529,979,325,580,740,834,310,
481,077,326,933,485,113,952,018,110,801,944,758,540,912,626,526,516,275,398,
551,575,932,343,312,930,868,342,080,153,092,633,110,840,834,671,306,738,111,
641,273,649,217,786,529,066,466,150,627,176,614,748,544,314,315,924,986,733,
321,906,503,750,921,978,988,571,816,080,258,451,730,486,859,995,833,710,837,
029,411,972,084,897,066,710,278,187,809,190,943,713,410,673,613,143,067,899,
327,700,963,476,430,499,819,923,465,858,650,403,527,768,852,145,101,790,394,
563,409,532,637,398,451,626,932,973,932,038,975,842,697,722,559,059,849,576,
722,694,230,037,862,523,161,039,778,305,126,136,248,282,724,833,193,264,720,
619,676,463,937,294,306,503,529,211,251,898,796,669,642,825,038,593,669,241,
999,083,250,764,122,234,909,896,395,649,222,494,650,278,221,213,789,776,162,
867,879,428,705,806,020,349,454,940,616,617,946,316,705,054,684,641,304,027,
717,554,077,993,491,554,973,336,799,551,111,482,923,304,658,345,777,727,899,
934,216,972,386,969,757,154,182,873,726,465,392,603,984,446,824,207,527,566,
029,013,367,613,893,447,991,998,518,464,348,241,103,158,722,682,967,445,954,
691,206,919,984,245,536,296,000,207,373,420,878,475,311,092,735,354,552,905,
907,758,444,904,237,529,667,470,215,128,102,240,537,388,881,209,180,984,681,
963,836,009,383,295,631,567,485,861,864,580,117,131,602,293,055,800,958,356,
049,562,530,805,885,873,288,307,199,381,626,708,447,742,011,439,245,966,430,
251,570,797,179,097,512,024,927,838,135,890,050,187,138,437,090,366,760,928,
339,163,668,310,435,406,389,831,477,152,618,987,001,088,860,704,812,799,142,
673,480,022,994,264,499,959,324,928,457,270,951,517,037,445,059,930,295,041,
679,772,183,511,236,785,436,959,740,895,554,749,793,197,155,395,321,920,446,
264,910,208,342,206,141,518,179,128,053,936,589,097,791,786,951,297,873,182,
128,843,638,045,003,821,705,659,452,058,829,041,915,196,225,511,782,203,020,
534,359,352,890,902,855,171,307,168,082,739,740,589,480,104,722,543,947,896,
990,545,765,555,244,842,008,395,973,219,135,778,761,707,826,700,501,393,705,
925,891,721,349,526,922,058,167,124,390,203,441,640,361,098,002,562,989,757,
124,983,340,959,448,612,928,140,416,251,340,303,514,685,587,097,240,099,594,
199,659,078,203,891,323,630,090,352,202,665,901,377,502,395,249,768,740,389,
079,126,665,493,573,304,627,081,461,935,863,878,402,208,054,253,331,317,248,
043,720,713,690,102,416,813,722,459,120,136,194,977,513,872,915,201,299,025,
332,412,080,059,571,332,472,650,798,084,403,179,685,769,673,874,929,413,779,
074,160,073,245,319,228,495,987,821,601,020,533,924,768,141,811,438,591,246,
877,580,780,224,891,373,443,611,687,871,171,923,981,167,272,638,407,073,205,
653,793,532,623,615,896,671,254,013,095,656,653,135,103,505,074,019,267,757,
029,636,908,666,322,925,816,444,343,927,771,130,855,299,207,543,237,684,482,
705,785,876,035,221,592,277,765,589,927,465,575,493,452,218,990,818,271,410,
538,472,181,678,397,179,766,319,675,289,091,726,720,777,953,519,847,072,298,
304,992,884,441,142,618,205,885,347,870,356,935,076,133,061,664,999,809,649,
694,647,556,927,999,763,107,722,830,233,846,617,138,643,509,116,561,942,042,
168,863,792,018,216,542,359,225,003,411,821,026,309,961,070,849,929,644,937,
217,610,626,222,720,750,411,124,659,532,235,617,442,530,614,238,194,634,950,
571,323,404,362,500,560,792,745,724,148,450,954,618,926,046,740,818,504,299,
399,413,236,477,968,358,823,473,732,737,855,311,498,441,469,076,689,685,003,
558,936,486,460,995,825,929,607,927,123,419,715,047,514,855,561,880,075,646,
591,355,371,412,747,840,736,628,210,929,094,763,536,625,263,800,512,929,298,
490,440,556,201,922,407,549,222,859,864,850,043,755,087,379,764,069,410,605,
715,949,616,775,286,379,865,913,350,826,255,020,635,806,775,356,216,327,368,
635,110,597,907,598,394,007,641,212,979,458,351,774,034,021,445,147,101,207,
087,304,649,591,620,664,320,537,128,202,450,752,374,963,737,076,361,923,733,
758,868,755,235,082,236,616,576,266,833,794,938,132,374,335,021,846,705,408,
014,581,971,538,632,102,090,891,907,633,761,596,607,716,326,102,707,811,230,
912,862,102,709,493,496,092,892,550,461,012,885,257,394,686,040,358,666,047,
413,055,206,602,543,886,706,791,602,049,332,782,753,180,912,982,993,059,741,
923,525,973,297,026,511,375,050,647,407,934,752,834,837,973,044,827,816,579,
536,644,277,766,948,476,262,349,281,678,067,512,388,481,598,012,833,052,505,
693,439,668,385,716,949,831,485,718,500,773,866,116,951,257,840,779,271,994,
538,868,949,850,500,648,085,413,654,144,079,997,223,662,005,871,150,885,889,
977,088,920,240,515,451,475,337,533,186,916,259,110,908,767,774,668,403,997,
738,370,172,495,595,076,790,408,801,850,436,039,458,080,144,717,846,091,631,
772,498,519,167,725,194,027,865,145,483,148,814,250,757,359,706,085,915,590,
856,854,240,600,692,670,176,781,085,631,980,094,068,799,036,025,394,891,960,
932,035,182,308,512,615,985,338,280,455,220,551,440,772,275,940,732,055,498,
602,943,654,906,310,735,897,663,289,179,574,777,804,409,695,464,216,095,054,
505,779,787,289,968,775,225,369,448,458,203,574,388,357,341,564,328,957,930,
762,665,801,359,188,718,122,177,691,005,083,673,825,632,581,080,157,716,511,
921,575,009,520,128,916,561,532,899,788,202,218,307,477,072,379,478,064,482,
921,409,458,572,312,161,644,778,039,205,479,714,081,494,237,676,639,345,086,
173,449,557,050,845,205,099,483,475,238,804,889,319,457,138,660,036,077,187,
799,864,045,195,004,871,049,981,813,923,575,878,392,087,806,592,196,827,487,
382,421,782,139,702,180,486,328,315,420,617,654,530,503,603,454,624,082,717,
670,858,882,892,751,929,226,825,191,644,049,466,758,211,775,863,970,379,926,
162,140,573,427,913,284,793,310,422,287,075,165,309,942,178,140,609,547,086,
210,113,776,997,669,726,503,411,087,640,264,125,207,271,981,067,953,186,288,
194,183,870,974,081,939,325,251,156,233,577,475,899,540,256,494,857,735,522,
523,703,499,321,402,849,192,407,518,802,622,855,719,387,166,006,665,231,596,
539,365,786,130,078,218,032,279,086,438,292,435,184,411,145,841,416,441,588,
894,593,150,715,420,562,693,894,496,196,219,177,466,109,629,380,373,489,002,
229,088,671,806,039,321,289,240,075,309,739,004,476,673,400,088,587,980,693,
717,286,443,858,140,257,759,529,802,787,434,553,483,740,696,435,181,552,510,
336,696,544,023,805,696,991,315,434,935,647,929,859,864,704,181,814,034,266,
526,375,820,294,681,969,851,065,162,634,020,905,871,825,808,552,928,569,435,
052,739,278,663,505,892,606,674,296,777,879,058,429,101,896,604,263,548,378,
836,715,467,838,476,191,170,040,174,099,400,124,632,675,494,773,414,288,464,
228,090,762,028,479,897,183,994,991,941,896,270,658,697,545,673,030,827,745,
671,276,009,218,517,344,165,279,024,859,325,601,588,730,917,539,881,095,439,
693,111,517,811,004,899,431,810,963,565,029,770,252,913,254,101,840,125,047,
432,680,005,015,539,253,992,916,378,995,496,710,131,701,543,387,916,309,773,
183,346,215,111,635,146,702,309,475,263,820,276,950,104,217,964,163,808,028,
820,127,049,316,626,287,360,474,414,245,080,360,991,578,041,931,038,315,197,
015,684,801,884,710,855,314,078,469,621,937,045,027,475,080,873,426,853,718,
612,633,631,853,243,860,373,654,443,630,709,564,866,441,651,912,452,921,573,
222,910,382,630,443,682,847,293,874,087,667,631,362,147,202,533,084,290,138,
101,926,371,850,168,096,388,176,384,486,463,335,069,020,862,376,530,158,425,
405,902,503,798,469,510,918,173,605,897,909,930,427,232,722,179,111,303,372,
701,469,503,359,044,077,871,565,276,971,301,716,054,408,969,141,072,801,555,
679,361,320,133,100,845,417,349,576,256,962,344,001,805,672,579,743,959,490,
704,732,517,484,134,715,046,471,969,601,528,010,965,398,385,788,468,909,460,
817,430,695,129,593,061,212,701,263,932,648,222,010,150,605,573,505,329,730,
870,811,387,889,381,895,535,715,166,464,137,980,332,836,491,393,188,486,649,
412,828,016,020,593,125,952,211,544,069,467,695,875,308,031,221,506,340,272,
924,400,634,905,251,351,672,736,548,157,924,198,689,518,244,299,359,895,491,
430,698,291,664,112,295,318,380,327,614,975,427,599,659,741,951,066,297,316,
822,287,044,678,058,012,598,694,167,164,935,739,550,417,018,291,166,636,068,
968,599,727,835,683,976,088,092,387,493,788,408,862,214,497,276,062,412,038,
281,016,661,477,457,941,362,879,865,793,196,316,915,617,862,435,155,843,493,
480,967,821,580,097,061,528,749,299,218,472,584,516,473,452,025,632,726,360,
321,797,528,970,710,484,549,433,876,035,612,993,179,127,329,814,568,024,649,
603,309,980,137,296,397,898,405,443,428,053,254,770,425,122,696,746,123,982,
288,118,210,171,282,595,707,358,931,830,157,298,984,247,652,188,430,767,531,
741,032,309,551,965,913,446,307,357,022,555,809,671,177,477,340,136,370,043,
650,217,431,218,279,769,835,669,479,509,833,957,842,807,768,216,427,712,939,
711,142,178,535,291,533,720,600,748,702,290,955,242,975,234,179,314,287,776,
544,027,858,187,879,212,277,123,708,725,381,427,998,565,384,261,766,300,070,
613,172,787,031,707,611,496,491,860,486,202,745,900,144,896,330,631,840,489,
107,352,492,969,223,521,840,618,714,429,333,814,895,752,229,887,077,041,567,
225,617,706,631,473,590,304,096,916,565,600,256,404,169,316,086,696,040,336,
483,584,032,538,771,134,298,188,536,501,670,891,935,130,862,409,382,846,167,
875,641,762,879,813,233,983,060,102,353,679,881,845,349,650,441,549,974,859,
847,552,814,821,989,389,798,411,856,611,823,213,174,640,870,129,123,559,989,
101,959,644,991,678,051,884,814,589,125,392,190,442,415,275,455,211,170,609,
004,652,698,824,735,488,846,112,287,692,475,693,337,673,376,134,973,121,373,
655,650,955,786,706,602,801,896,869,012,818,912,537,970,559,870,009,825,824,
391,687,605,712,520,216,106,861,928,193,928,809,688,858,166,319,017,387,955,
559,905,728,783,154,857,448,922,779,727,391,497,034,734,527,816,762,799,000,
790,660,262,988,664,064,063,062,342,828,647,416,689,253,242,636,645,734,488,
268,913,314,199,213,060,287,205,335,313,498,409,808,547,646,281,506,987,457,
129,968,341,993,645,246,335,168,465,999,373,522,226,607,420,774,309,827,009,
158,785,437,429,824,958,129,637,298,270,373,447,492,894,708,488,617,008,365,
185,565,091,815,321,232,639,881,265,495,725,640,319,950,856,096,501,204,449,
244,874,613,528,951,202,527,233,448,523,407,455,339,774,634,166,532,066,714,
830,590,937,306,886,600,104,444,552,088,356,956,906,243,884,469,685,939,764,
358,280,037,012,954,810,561,675,445,912,929,650,819,966,484,636,150,921,819,
408,320,139,083,784,952,435,377,695,996,734,392,671,492,825,865,508,859,895,
350,499,325,987,543,640,851,969,152,483,928,452,661,533,515,245,291,162,135,
500,681,778,770,339,192,172,851,878,023,469,198,021,580,439,004,526,272,160,
028,938,784,170,903,471,213,628,364,885,161,048,549,729,726,686,633,717,422,
610,280,414,746,294,520,434,333,709,020,761,784,882,871,087,412,236,527,754,
828,865,887,746,524,977,999,922,404,776,247,802,657,331,056,619,481,677,752,
325,316,223,360,225,684,961,891,175,704,223,896,291,572,905,265,073,536,866,
062,912,723,738,854,378,845,959,080,776,002,184,869,800,332,902,092,348,599,
966,826,675,737,714,748,401,315,124,824,558,426,564,619,665,176,295,067,541,
967,881,848,893,746,130,678,546,230,258,297,559,359,360,834,429,958,545,100,
871,001,473,612,122,647,019,362,123,711,776,660,520,169,018,571,705,045,561,
713,558,981,244,600,873,661,937,113,411,684,795,574,874,136,499,909,184,727,
657,551,210,684,670,332,167,022,980,278,674,665,558,674,372,275,077,273,159,
907,900,311,689,322,029,730,608,950,665,099,217,176,523,267,231,527,355,296,
711,264,036,847,236,182,457,218,990,022,920,124,661,820,868,479,003,612,787,
220,459,003,167,080,422,449,187,714,647,336,544,353,965,140,022,311,036,750,
478,426,151,613,706,289,339,410,817,590,417,210,056,850,623,965,203,158,708,
827,681,779,569,355,649,435,978,478,796,236,823,301,967,138,997,251,928,734,
766,789,976,058,775,791,608,313,517,095,733,970,354,744,368,637,542,153,035,
680,531,815,675,106,235,066,287,718,358,192,134,244,524,944,935,967,455,716,
612,236,316,003,989,121,349,695,159,041,251,610,083,792,954,838,883,169,958,
310,463,886,081,869,830,036,393,211,203,793,805,385,188,903,654,391,433,316,
191,989,654,593,010,667,808,774,519,748,684,680,561,765,241,663,660,816,546,
032,015,280,934,666,178,742,516,557,104,814,413,392,980,891,917,532,226,093,
501,312,665,616,240,994,444,817,417,332,676,973,248,950,927,993,651,024,596,
107,115,483,176,536,057,263,172,605,616,253,633,555,583,061,697,545,104,093,
634,265,854,140,649,012,576,633,217,415,012,754,407,126,975,010,981,809,779,
072,543,534,583,166,790,438,073,340,539,502,952,500,730,258,939,360,557,215,
287,535,106,718,676,219,323,807,442,158,962,066,925,009,614,781,236,633,444,
811,435,460,674,437,865,263,843,857,627,096,021,611,675,603,777,635,160,844,
325,659,356,148,078,170,565,070,482,093,762,782,343,363,803,389,143,312,410,
978,139,308,633,852,125,934,963,436,632,618,982,450,020,832,839,992,117,002,
283,905,631,469,467,411,244,986,909,559,783,391,969,387,874,872,625,698,183,
594,332,769,059,661,563,565,388,732,218,102,325,047,834,886,192,087,024,960,
492,576,397,512,286,748,273,610,801,854,459,556,810,767,439,167,939,269,644,
914,407,539,830,854,078,561,250,370,767,039,996,591,543,550,791,961,612,225,
687,737,476,663,070,756,729,549,945,391,356,985,681,154,380,806,241,224,542,
714,271,162,916,270,908,003,445,022,592,139,242,103,274,903,110,482,088,812,
068,769,103,001,212,865,389,207,454,431,615,683,473,932,310,972,414,800,575,
583,764,788,255,095,802,247,729,191,743,581,506,774,709,745,066,815,566,280,
557,407,815,524,120,166,500,776,325,471,844,235,183,017,296,542,059,609,393,
212,945,508,522,447,893,884,538,114,431,945,322,201,148,942,695,803,982,338,
521,914,865,633,194,888,833,851,519,202,791,159,891,724,374,745,607,070,190,
497,621,489,318,767,791,059,892,324,350,803,814,396,583,179,552,899,127,846,
174,016,642,637,771,614,727,138,488,045,559,780,255,828,704,497,331,015,248,
679,602,003,007,383,090,136,721,443,655,156,965,882,453,422,489,158,234,170,
920,877,942,071,521,078,708,958,290,986,855,737,382,541,307,757,442,398,716,
488,615,137,095,335,224,334,567,447,041,273,420,026,004,800,317,759,836,800,
256,871,814,748,126,548,766,341,109,552,304,814,685,104,264,263,117,572,415,
350,630,521,490,183,992,360,996,128,449,141,626,258,482,839,343,168,960,976,
296,249,407,880,558,955,529,423,802,173,516,372,018,476,747,287,030,346,270,
326,346,628,284,593,142,704,187,025,938,796,143,777,305,501,495,076,820,981,
073,660,358,641,591,448,109,185,250,043,054,213,287,943,303,305,274,499,431,
187,045,867,823,580,850,775,171,564,229,687,103,242,604,261,350,468,256,720,
454,507,648,280,753,092,591,700,699,939,722,244,159,751,734,176,790,644,251,
568,973,988,137,701,918,560,430,401,125,988,044,957,607,738,429,568,849,301,
770,161,111,180,798,920,005,937,522,489,698,092,871,973,650,992,602,876,698,
063,402,760,698,003,279,510,413,560,447,070,898,209,693,491,318,357,097,735,
612,697,400,039,925,083,296,903,364,454,444,765,790,466,609,006,340,700,140,
941,029,079,179,136,195,347,260,010,179,588,254,640,389,350,275,699,804,824,
647,400,655,865,784,782,826,477,275,849,600,394,397,321,679,380,425,115,359,
351,173,507,356,071,015,012,139,484,393,812,070,857,454,429,079,141,187,281,
695,126,328,019,168,008,851,186,295,363,266,196,157,817,377,333,659,605,977,
129,452,157,089,222,089,576,128,157,950,769,280,743,658,592,853,065,564,097,
842,757,314,804,508,726,113,329,921,307,966,854,071,574,952,820,894,883,827,
874,225,861,276,594,370,777,329,488,091,534,753,726,355,247,879,307,884,231,
113,018,614,083,903,605,204,381,251,918,798,886,656,719,285,575,512,767,973,
059,190,433,170,812,106,048,991,329,446,235,487,873,069,650,884,467,151,606,
569,357,010,566,453,346,120,639,062,273,389,393,013,203,235,066,349,432,285,
321,906,429,796,567,628,688,784,168,080,721,804,706,631,950,111,284,253,262,
763,262,645,611,220,953,023,063,457,789,328,584,922,840,436,947,139,845,551,
713,503,091,324,093,764,841,865,001,061,846,940,339,576,618,762,424,122,725,
980,022,378,830,903,941,779,802,727,432,771,950,821,167,117,363,420,691,418,
502,972,504,214,350,429,612,471,970,561,224,543,156,365,106,370,702,267,023,
157,338,736,560,473,343,945,450,949,209,816,627,803,841,650,418,256,380,821,
716,843,006,915,079,344,366,922,494,526,078,782,694,832,363,083,839,985,598,
164,956,809,380,496,129,358,828,312,321,990,911,850,976,190,917,640,237,563,
769,285,398,310,175,112,284,110,943,812,644,981,812,014,516,506,730,279,381,
368,310,340,738,189,928,399,068,432,092,057,377,605,753,676,994,482,123,147,
038,930,707,793,144,096,321,123,335,304,199,693,701,712,839,866,816,005,378,
542,470,046,389,409,915,030,399,965,806,917,876,454,390,862,178,854,446,460,
960,234,238,738,644,350,728,567,168,597,469,260,608,624,726,544,355,124,848,
746,841,155,443,742,563,481,679,864,683,085,089,897,199,108,885,788,287,538,
804,017,349,192,045,104,702,427,116,354,689,597,933,179,345,591,795,207,890,
893,269,883,227,709,183,159,908,270,797,463,385,462,513,400,585,417,866,144,
411,776,281,342,723,961,441,172,119,080,056,489,895,358,776,654,523,599,385,
525,719,625,336,973,742,627,647,905,417,124,344,391,728,551,408,954,820,439,
331,968,661,465,488,582,026,928,180,853,009,733,895,059,858,364,616,154,202,
552,074,963,168,835,374,100,527,469,684,257,976,119,291,381,676,031,605,021,
187,805,868,159,054,162,404,012,501,844,449,933,912,894,476,326,280,481,261,
385,155,571,390,621,825,232,712,282,856,748,531,898,182,186,038,829,084,760,
478,112,945,593,592,379,384,294,504,676,134,447,802,092,740,202,424,441,555,
268,404,605,912,713,610,926,063,448,997,618,693,013,834,654,191,292,136,615,
435,423,957,735,955,859,884,502,084,525,113,471,103,800,414,175,919,838,274,
765,792,136,272,665,343,615,929,173,049,418,654,358,766,350,296,497,969,953,
331,073,386,109,487,532,808,989,646,297,874,521,841,006,919,205,514,422,678,
664,598,536,001,978,671,300,247,677,278,841,626,257,030,017,466,725,839,910,
815,045,571,599,603,658,159,737,087,447,336,969,381,742,839,708,184,214,832,
764,176,755,901,847,203,112,586,094,176,305,068,812,283,353,759,115,936,005,
047,446,994,772,610,425,868,707,274,793,944,907,218,921,822,157,144,256,147,
139,495,596,470,763,145,645,569,948,925,457,059,217,306,949,048,039,627,896,
680,504,055,825,576,925,340,700,857,131,332,295,815,058,304,720,558,588,615,
787,349,869,729,816,367,007,283,209,440,933,459,386,611,440,700,290,575,379,
594,662,252,746,267,144,706,035,387,331,844,354,576,226,183,661,813,870,198,
313,986,018,379,962,956,859,153,078,801,401,342,508,664,010,831,498,648,760,
065,067,528,962,864,256,818,362,877,750,050,823,393,218,174,093,395,655,116,
600,067,777,434,006,734,699,655,588,206,805,997,970,431,355,640,957,068,997,
047,065,818,763,408,412,118,974,154,486,992,374,374,418,599,534,569,449,748,
009,249,816,231,010,316,875,588,614,331,265,385,640,066,902,195,447,088,402,
430,365,469,898,858,462,991,194,009,924,144,600,963,064,691,286,890,373,174,
765,782,020,115,189,710,384,411,270,649,999,975,861,761,877,218,153,912,238,
933,031,317,037,038,262,563,483,299,868,237,150,854,613,581,488,749,589,537,
519,365,612,717,109,476,389,309,140,725,375,653,907,232,162,207,199,356,706,
869,017,552,953,750,701,681,525,569,946,719,647,558,188,635,152,061,783,091,
596,519,332,553,822,998,511,709,242,163,519,017,161,370,564,704,522,963,898,
507,796,998,335,975,980,408,089,822,964,222,258,877,201,903,377,689,221,610,
306,690,610,447,949,620,055,429,772,015,934,485,633,906,451,502,031,720,624,
341,570,471,951,710,237,190,234,325,857,406,064,460,573,297,141,234,607,482,
451,540,458,077,696,250,820,044,249,489,358,378,227,249,072,477,256,736,346,
225,041,592,876,866,426,592,201,701,927,510,772,272,001,380,618,784,732,398,
637,193,713,143,453,480,624,430,886,771,821,485,191,227,134,448,465,528,294,
135,064,087,515,107,050,775,879,863,613,806,803,072,423,035,219,354,168,179,
618,372,301,571,805,790,691,915,256,594,335,597,017,151,502,318,775,556,205,
813,485,214,952,358,074,297,217,073,872,913,654,484,648,121,178,612,747,158,
667,701,723,114,768,587,706,422,747,128,747,434,941,375,901,558,137,021,181,
990,660,046,485,912,378,835,479,036,349,280,560,994,096,322,096,525,820,996,
940,571,799,512,624,270,847,830,520,184,359,254,198,115,529,590,869,598,837,
382,714,868,031,863,486,326,354,860,557,676,433,396,006,675,600,940,913,859,
079,413,011,134,840,068,120,568,532,910,421,301,918,134,318,394,076,171,289,
403,550,236,919,826,207,330,894,472,254,633,028,684,640,039,536,721,760,699,
130,535,978,005,765,208,837,578,589,717,270,521,570,414,064,182,296,756,406,
706,321,924,796,100,562,595,878,127,807,706,099,785,450,793,624,442,175,809,
754,454,187,531,480,027,875,051,409,402,998,495,720,739,734,519,159,700,791,
424,053,120,806,315,213,286,112,502,101,902,785,729,170,850,024,585,953,160,
972,526,907,244,915,768,415,127,162,438,764,508,157,462,180,456,002,103,724,
337,414,263,495,073,181,364,790,825,909,896,935,932,391,547,118,632,608,946,
866,282,251,581,951,999,348,453,897,743,766,117,822,372,500,270,538,524,933,
078,351,661,899,023,979,295,262,567,156,367,816,140,658,531,850,650,982,792,
899,787,219,705,206,933,631,240,346,445,822,361,100,023,439,309,035,111,793,
926,459,697,160,752,875,218,421,943,994,553,625,359,607,224,009,332,511,653,
322,188,518,407,007,248,368,865,067,980,333,034,592,728,204,671,183,276,538,
115,604,680,472,320,428,309,959,978,759,812,470,748,635,757,245,362,099,812,
941,989,882,591,252,731,745,648,204,746,415,170,623,289,735,582,592,463,450,
697,513,673,587,051,135,706,502,036,082,219,822,967,926,655,906,134,825,245,
471,608,893,676,532,690,735,289,631,352,466,661,787,257,807,826,615,370,892,
670,636,045,452,542,485,010,105,646,956,997,873,023,734,786,894,328,730,399,
601,361,243,118,179,959,213,853,683,776,204,530,433,669,435,500,360,511,783,
902,689,415,797,355,262,981,985,953,880,569,901,445,824,199,549,886,910,200,
782,785,124,324,042,639,236,406,266,179,826,035,150,821,371,834,387,095,328,
529,921,717,569,762,464,497,174,942,478,796,175,089,168,101,730,662,266,746,
153,863,677,229,708,742,695,464,183,568,919,270,145,620,921,427,104,166,051,
965,092,506,676,139,956,205,940,381,764,302,958,419,685,779,948,920,808,187,
919,702,074,457,773,280,414,601,324,683,834,276,206,630,188,111,168,929,239,
063,171,072,276,239,575,243,936,427,077,733,993,870,130,603,620,906,435,587,
875,797,197,066,098,946,341,683,527,341,389,746,870,074,688,397,677,310,609,
016,824,776,848,933,322,850,431,147,341,690,543,447,869,339,096,532,589,857,
489,666,323,432,729,131,165,458,041,542,444,091,590,697,420,971,724,920,463,
409,879,561,300,107,348,193,672,574,204,966,561,751,974,847,442,452,100,031,
477,101,641,171,399,584,732,330,853,748,177,838,137,062,153,514,707,886,425,
693,237,730,128,507,248,972,938,778,533,084,051,106,716,832,666,902,882,644,
153,376,801,065,686,746,679,017,016,004,104,794,149,618,028,938,945,573,194,
197,419,756,459,301,820,023,243,065,514,066,006,530,717,666,170,809,325,758,
124,182,096,209,547,844,079,117,757,544,963,172,351,413,354,775,894,717,596,
155,376,649,959,216,350,220,537,110,602,961,196,872,909,701,198,808,215,492,
778,781,644,023,073,798,077,823,065,361,741,302,671,985,378,072,577,939,182,
550,026,152,320,301,268,058,225,438,841,268,107,127,599,329,595,637,366,395,
059,322,932,224,499,565,602,144,120,463,866,612,203,268,233,926,357,058,670,
891,058,189,161,222,681,707,687,416,215,231,808,829,926,007,140,510,530,550,
724,171,296,195,058,412,942,290,502,723,748,665,612,016,590,300,002,722,500,
117,126,878,747,890,958,977,848,875,996,110,833,537,528,205,997,959,537,248,
129,573,870,835,292,509,396,128,015,091,831,262,983,482,389,659,869,590,273,
748,187,902,503,931,715,523,527,856,978,390,901,380,957,037,593,209,038,269,
501,309,209,882,456,131,814,825,008,135,756,305,742,218,582,062,862,743,160,
052,668,167,885,820,537,112,469,324,599,966,784,893,911,910,119,840,627,600,
552,367,603,970,433,008,658,437,191,097,524,328,316,301,026,554,162,024,902,
638,782,230,240,334,746,366,519,788,512,445,136,850,134,981,642,936,020,278,
360,959,621,575,261,698,272,330,029,677,116,917,076,184,952,738,757,045,377,
503,144,047,135,320,052,409,001,277,585,515,338,883,535,441,236,082,703,695,
990,186,298,489,901,471,861,236,365,629,743,759,994,371,632,423,416,285,270,
483,162,141,273,541,645,133,283,056,991,215,083,428,912,192,701,217,416,171,
045,097,478,655,278,941,364,168,597,328,470,204,453,656,626,094,351,458,649,
664,615,401,286,236,499,963,126,680,837,723,732,391,191,612,070,338,099,193,
862,809,038,952,917,659,970,294,983,109,436,838,869,551,514,424,057,870,938,
902,529,036,615,210,868,202,413,331,779,520,106,443,935,223,113,864,188,233,
943,840,558,979,881,733,369,871,539,419,090,278,385,561,346,459,818,963,845,
776,558,247,695,437,284,538,460,286,074,795,822,349,633,258,287,156,933,172,
975,440,041,814,663,588,830,860,036,317,105,714,065,584,114,953,132,567,859,
013,773,794,842,970,609,130,814,331,739,789,239,342,376,872,433,571,971,979,
466,260,532,966,193,412,080,629,582,541,699,654,433,418,998,237,204,752,190,
221,057,083,642,972,261,121,866,913,553,389,709,508,961,140,175,360,288,430,
788,824,307,690,060,614,243,072,740,367,043,053,483,499,299,970,346,638,283,
299,811,315,673,824,112,331,693,863,642,324,617,815,517,405,740,382,043,350,
605,611,523,426,453,167,474,899,619,428,927,283,053,050,823,723,716,849,680,
202,119,177,873,559,013,818,423,100,828,420,850,947,485,170,446,917,463,436,
691,231,700,916,302,671,369,022,861,433,358,882,285,713,156,133,302,687,186,
368,684,872,582,510,304,912,715,846,581,337,459,349,855,347,722,824,992,080,
073,597,877,427,566,174,806,307,163,628,827,892,554,597,310,243,292,015,335,
478,067,737,762,143,779,893,583,759,119,153,968,014,229,984,341,291,409,867,
136,805,596,851,211,399,747,546,793,060,714,074,590,009,594,844,679,378,578,
273,423,104,558,566,008,612,380,247,913,339,338,907,085,843,233,503,271,904,
858,448,898,473,237,521,546,858,333,633,540,507,664,226,489,828,061,905,098,
141,019,157,855,021,094,447,638,893,349,782,408,643,192,612,827,974,217,577,
773,435,153,068,010,183,385,569,535,107,197,177,379,211,706,589,029,643,046,
586,906,452,347,167,232,477,065,092,235,117,761,717,730,109,680,550,065,833,
189,460,521,602,647,191,236,254,609,793,629,532,809,450,062,933,048,258,422,
937,735,520,263,505,832,957,077,927,185,565,329,811,387,475,178,282,714,549,
034,067,209,281,912,286,274,578,743,751,514,298,005,277,286,456,122,027,474,
901,409,347,181,339,414,248,685,390,575,589,219,958,936,456,031,423,046,655,
752,630,887,361,661,623,380,572,598,684,618,262,280,190,571,537,347,014,545,
128,334,285,141,418,023,967,516,592,814,082,702,476,935,169,919,939,792,555,
125,521,428,602,002,025,998,784,462,927,689,157,426,033,454,285,101,316,081,
033,853,188,617,154,337,276,590,704,894,170,670,818,402,309,378,148,976,802,
255,462,858,894,272,500,489,280,003,042,045,083,681,312,021,294,539,037,209,
060,075,108,801,769,937,621,966,814,774,484,099,013,008,792,844,713,825,960,
273,923,132,124,046,012,709,184,210,689,762,702,627,319,326,732,083,385,402,
962,622,166,271,644,234,317,094,706,060,262,761,208,979,363,744,654,255,174,
837,367,301,767,987,408,402,540,145,003,929,193,393,583,303,876,085,244,043,
389,866,960,455,936,731,909,990,156,280,291,173,106,293,539,607,503,364,438,
463,877,354,048,566,230,420,355,630,935,308,992,751,550,387,902,990,473,053,
994,735,246,834,345,052,758,636,094,486,319,903,801,208,763,965,205,831,311,
240,585,540,188,292,320,822,504,987,347,904,147,616,573,583,337,636,182,463,
046,850,059,979,439,569,058,523,190,451,777,383,478,445,974,353,624,949,546,
154,480,566,241,404,277,316,503,987,416,338,016,298,646,230,452,547,738,518,
154,758,371,286,154,159,917,366,637,131,913,654,747,704,603,222,449,420,203,
092,789,391,825,285,470,045,447,940,651,294,452,519,533,173,760,931,190,973,
020,263,850,892,989,760,360,004,650,113,686,823,021,509,664,414,444,137,152,
242,931,680,219,558,187,948,297,757,877,653,337,360,674,187,361,623,583,078,
614,807,849,770,945,502,065,582,571,722,339,144,379,850,208,209,672,610,232,
484,331,834,911,368,757,992,579,231,401,532,339,315,238,488,802,666,289,310,
041,805,355,743,326,094,758,779,342,864,889,424,598,206,615,322,290,300,021,
570,502,220,800,954,940,547,938,952,123,145,093,559,554,340,322,321,349,498,
449,699,260,064,788,126,978,594,679,611,490,631,047,512,557,248,055,752,835,
551,683,777,966,155,136,250,079,092,613,315,303,004,139,796,733,053,574,248,
764,408,667,605,243,058,627,791,779,279,518,859,259,816,774,798,140,829,641,
566,387,698,993,642,622,724,764,179,846,327,929,229,244,067,669,965,894,407,
855,833,821,754,257,826,150,692,818,337,859,377,960,538,886,482,209,593,108,
585,415,254,543,979,445,850,801,568,558,111,004,608,160,738,981,535,177,671,
386,133,525,971,555,669,671,154,005,435,389,963,927,923,821,464,677,820,955,
536,984,783,314,202,231,072,993,858,335,214,066,094,609,006,993,085,018,415,
456,401,060,055,517,111,746,611,767,928,995,971,307,360,139,936,752,626,329,
623,426,674,607,285,923,305,219,944,412,697,603,889,800,266,449,093,212,023,
086,485,945,125,945,623,727,500,638,320,105,890,491,570,927,687,925,050,403,
993,474,012,376,082,861,667,643,133,650,956,341,858,748,356,989,201,407,684,
772,945,950,916,314,045,684,795,266,040,009,607,783,965,269,285,200,966,157,
512,443,893,444,985,630,162,493,317,472,310,398,946,541,972,344,176,512,181,
386,940,263,531,290,843,376,230,140,987,878,034,403,835,306,585,361,587,571,
621,222,204,090,923,882,322,955,030,287,914,297,427,390,923,210,390,053,671,
019,060,214,843,654,256,855,940,167,421,191,525,046,418,600,875,091,401,530,
488,990,899,997,290,646,493,210,593,722,389,649,844,154,118,000,955,429,005,
721,708,361,768,857,932,708,001,601,398,406,232,294,052,974,841,999,367,595,
667,625,347,585,281,671,754,212,228,369,676,968,388,864,853,111,642,075,374,
056,236,322,229,573,523,817,289,066,403,531,388,412,742,812,493,905,233,242,
627,982,942,891,796,366,245,547,803,461,975,314,723,538,608,310,313,677,050,
048,430,582,231,770,432,717,172,744,108,032,984,706,429,662,682,949,039,300,
940,898,015,825,209,598,677,099,887,863,773,325,711,302,083,849,352,048,255,
581,616,895,573,860,580,045,232,912,890,921,493,769,204,985,478,985,102,956,
860,012,855,493,907,292,710,482,330,715,238,397,011,440,864,330,962,943,084,
636,839,589,653,478,801,147,573,124,346,171,494,463,906,871,522,541,283,174,
216,107,633,701,795,570,373,070,470,497,802,592,663,450,161,521,937,505,002,
615,050,353,345,411,094,687,891,435,333,661,460,509,187,310,260,147,295,151,
679,708,368,239,151,537,617,803,448,938,416,159,109,074,319,446,425,224,318,
857,215,603,294,120,269,259,495,433,776,010,317,265,569,540,433,794,564,092,
183,949,440,834,922,732,311,836,579,529,659,224,805,093,283,857,631,461,457,
686,631,777,669,062,153,053,955,752,832,392,968,852,344,333,816,257,544,724,
433,720,550,226,567,989,541,550,564,102,378,192,647,336,917,788,685,583,214,
112,301,863,746,326,750,468,949,061,910,962,059,722,105,439,116,989,165,446,
952,554,323,519,595,159,000,966,350,023,199,199,799,332,234,956,075,151,243,
733,025,811,702,743,053,819,386,091,904,022,521,961,765,169,940,944,746,195,
601,403,255,572,906,767,361,747,093,600,361,974,395,734,008,414,815,847,749,
051,777,680,536,774,665,827,505,348,546,981,077,095,274,728,074,193,753,440,
080,329,506,995,498,873,691,186,016,156,079,005,865,601,750,868,664,917,927,
408,934,008,410,168,221,174,733,651,272,385,453,300,268,353,499,642,984,161,
697,931,524,884,541,341,738,853,771,791,752,623,219,506,394,031,040,363,020,
694,993,483,571,120,882,005,513,448,256,951,986,241,158,258,145,581,378,801,
308,621,036,236,415,703,356,166,742,722,021,545,379,140,471,113,626,159,945,
579,879,522,141,284,003,527,224,221,444,260,018,574,673,527,696,377,209,920,
537,345,452,423,391,277,246,747,532,161,328,545,669,286,004,967,156,049,232,
548,533,640,096,127,593,948,822,888,076,247,358,617,017,155,373,427,499,897,
170,412,330,879,424,090,786,722,013,425,021,511,511,761,493,550,672,625,357,
259,322,741,698,801,800,854,189,725,744,237,557,304,874,209,751,868,350,518,
790,407,561,405,087,643,847,966,016,356,503,733,106,170,994,497,618,205,363,
004,196,824,299,564,039,604,136,758,463,182,873,943,163,461,329,038,508,211,
014,735,973,823,630,694,250,154,654,941,633,071,801,865,915,797,546,008,167,
636,114,019,568,758,803,125,027,141,673,924,156,584,950,490,740,371,821,690,
605,013,760,904,944,959,654,272,622,767,979,280,648,556,548,894,539,708,577,
700,366,204,220,207,393,380,312,546,514,898,721,919,334,535,997,047,539,702,
433,050,191,900,356,005,488,554,112,164,004,777,044,481,871,612,693,946,446,
113,857,866,456,066,385,516,100,086,743,086,906,593,217,658,328,989,894,073,
591,793,738,773,648,166,575,932,993,173,273,882,665,530,299,987,801,160,728,
313,631,110,252,410,339,449,845,472,583,423,190,829,280,399,925,380,816,738,
303,090,212,893,438,276,434,058,692,444,234,754,338,017,142,498,521,825,943,
055,077,414,155,240,606,579,791,983,760,350,702,519,977,144,615,393,002,362,
464,582,829,738,242,749,692,406,816,696,785,151,813,582,519,865,538,685,857,
975,943,475,729,252,901,045,709,269,361,924,651,541,050,613,242,289,891,582,
462,526,413,074,824,427,886,963,860,574,344,811,346,273,304,152,469,857,556,
625,361,408,072,863,283,325,054,933,981,374,017,963,169,218,528,182,332,162,
520,220,841,995,977,810,213,726,476,620,586,901,887,811,545,106,763,537,610,
961,500,613,904,104,944,907,213,926,881,301,484,236,919,797,676,534,459,513,
889,230,077,437,423,321,271,837,060,458,789,230,103,935,579,685,204,032,511,
351,969,708,302,625,042,645,656,122,287,936,132,194,810,867,942,936,309,950,
951,670,324,668,218,090,317,295,622,782,332,750,851,784,453,284,355,416,760,
493,995,146,883,542,219,681,700,852,405,061,158,150,041,789,696,519,627,617,
318,213,102,262,677,417,659,314,384,872,938,804,652,141,767,187,698,286,710,
126,107,721,245,855,124,507,234,188,308,818,949,857,836,223,360,464,726,792,
099,607,740,638,519,586,721,981,934,170,474,594,397,508,880,683,278,159,075,
961,750,780,887,206,506,922,073,927,164,548,150,503,315,850,772,554,393,136,
945,665,139,150,871,715,093,809,448,777,418,527,659,804,928,983,944,190,037,
985,421,442,928,588,858,889,641,933,705,696,578,059,979,561,214,829,948,001,
369,878,760,537,928,661,402,377,199,729,978,089,792,893,611,822,093,457,775,
003,086,092,893,556,927,872,089,397,189,313,892,943,506,633,935,340,517,499,
766,691,829,774,808,769,510,230,531,916,775,814,765,044,863,164,910,127,303,
897,296,663,631,800,984,754,326,195,518,281,812,871,603,612,240,814,805,575,
330,032,795,458,211,542,377,752,181,094,698,665,752,057,162,742,902,655,432,
947,362,476,149,704,477,892,995,255,529,789,679,413,616,499,705,117,228,467,
709,003,926,415,601,556,596,073,658,047,213,724,572,193,498,857,899,641,353,
792,369,585,596,004,727,121,974,710,350,686,926,746,841,727,200,685,257,290,
136,896,667,983,991,763,835,565,875,583,842,548,157,269,504,669,344,198,739,
396,468,156,053,974,967,431,377,637,898,928,178,977,110,031,742,413,816,491,
509,229,256,014,272,929,414,807,538,735,923,275,152,951,268,979,894,050,365,
222,125,385,796,829,081,956,180,068,358,693,726,809,992,249,619,190,212,639,
968,099,643,481,066,473,333,012,765,101,702,428,816,669,282,452,867,113,894,
093,499,854,665,656,903,968,138,711,207,670,077,239,139,624,707,272,380,661,
925,599,433,517,108,905,965,448,822,555,082,009,662,736,757,413,159,121,912,
967,351,635,656,160,666,322,346,817,937,223,746,925,887,352,979,731,402,895,
912,596,317,030,959,049,979,157,976,605,710,959,243,460,204,890,207,138,392,
605,405,141,535,802,838,717,770,894,721,841,098,921,354,187,151,637,769,114,
641,282,623,048,050,977,473,618,442,546,317,253,046,736,755,954,997,650,893,
312,155,037,081,435,841,048,856,272,599,155,753,972,253,312,057,418,563,087,
561,355,413,620,995,786,332,598,582,237,055,632,776,281,902,369,746,609,418,
359,259,031,820,890,443,766,938,917,112,089,044,179,829,319,480,483,970,504,
702,100,164,099,898,442,987,340,372,594,773,609,946,993,455,836,032,176,526,
262,226,944,751,963,230,224,193,732,095,714,969,944,315,361,233,102,914,457,
140,571,558,820,427,596,908,453,618,836,819,727,569,683,907,517,150,424,514,
024,182,549,772,177,210,305,892,374,723,157,823,641,833,719,307,029,327,396,
013,878,990,230,519,510,171,027,787,613,208,309,705,355,209,070,009,416,975,
023,949,160,349,175,073,126,178,974,497,551,390,987,207,643,508,623,316,584,
933,010,320,772,785,726,048,194,198,709,156,362,661,102,189,070,962,111,633,
522,415,703,048,652,797,109,885,125,235,162,615,380,803,330,277,813,562,303,
240,078,930,847,899,966,817,751,970,803,059,393,967,936,120,524,339,588,945,
040,370,394,258,991,130,310,032,559,694,436,846,455,976,312,111,143,526,735,
404,719,642,922,103,205,644,312,691,072,406,831,853,295,654,837,396,138,919,
192,918,578,881,768,202,235,926,400,568,592,394,874,167,996,263,759,297,352,
319,530,690,995,729,035,047,428,977,869,074,546,956,670,617,124,589,859,421,
526,608,790,991,612,827,394,422,762,619,140,567,260,782,970,413,515,825,747,
190,032,992,043,930,151,789,378,572,206,459,639,728,302,147,431,774,905,212,
230,471,765,131,326,422,968,785,047,187,817,748,943,661,374,026,578,670,632,
107,466,557,639,995,107,990,732,007,521,551,012,810,864,886,252,965,784,693,
054,068,851,206,838,946,662,034,385,851,475,775,422,530,109,713,529,326,860,
462,905,408,068,364,775,358,604,836,184,930,161,207,873,726,925,083,602,749,
119,690,869,253,694,698,061,731,076,544,107,658,242,265,482,488,568,641,270,
303,602,736,709,649,878,757,032,975,539,977,948,857,353,755,444,749,010,072,
213,255,147,218,343,799,358,130,446,632,029,662,306,387,063,566,703,642,821,
666,865,313,091,665,248,292,352,446,150,841,213,036,320,422,045,018,577,480,
053,279,281,356,942,734,438,562,566,589,575,639,534,937,482,331,116,722,366,
820,138,429,359,179,921,227,898,618,175,435,967,594,564,166,445,591,810,569,
027,869,587,982,976,268,354,071,432,174,578,835,942,585,541,442,278,282,511,
796,207,678,504,253,860,537,602,944,785,474,849,263,165,002,101,056,519,459,
613,367,774,444,076,122,237,050,958,557,827,653,449,540,096,118,559,585,893,
859,315,309,184,558,545,166,194,229,575,367,634,509,212,633,077,948,643,369,
851,602,164,590,484,072,531,605,522,059,152,164,577,554,401,854,848,257,826,
149,797,606,548,500,440,529,058,872,498,410,450,911,478,153,486,290,837,751,
072,690,415,590,169,388,821,656,722,212,894,186,545,050,519,926,253,807,457,
660,226,260,757,588,522,210,358,588,728,068,992,056,995,280,616,659,972,595,
948,337,238,213,268,590,738,052,728,430,173,452,249,865,357,570,431,388,309,
938,404,075,574,028,610,038,317,914,396,211,356,052,331,791,599,700,295,159,
375,841,763,826,832,209,514,286,864,570,584,095,195,345,861,648,037,779,269,
268,845,912,251,616,681,582,547,153,049,516,570,409,610,216,374,159,671,652,
112,399,055,222,778,925,536,509,551,680,345,004,092,982,315,971,247,354,480,
676,865,308,066,400,308,423,568,479,615,567,290,156,408,095,879,859,849,732,
199,905,195,409,971,172,431,577,883,452,908,588,613,617,135,129,760,889,038,
839,308,298,057,677,459,232,721,800,481,651,414,449,452,670,896,844,371,402,
195,380,232,441,708,097,467,715,753,950,055,093,875,332,277,467,330,001,940,
454,992,244,515,366,868,866,569,941,818,125,521,554,668,676,636,214,234,482,
737,944,686,777,794,819,099,590,800,625,305,488,954,021,911,389,016,747,187,
660,902,077,064,464,015,447,650,570,421,257,985,791,566,321,544,135,140,850,
791,595,636,548,674,957,426,520,188,977,436,295,154,332,795,007,087,331,803,
935,891,314,317,186,589,443,257,581,985,489,390,568,672,850,882,449,872,756,
022,859,611,331,717,542,730,133,401,336,937,895,541,745,356,695,790,189,408,
784,930,502,045,067,042,131,616,010,055,757,727,397,264,660,980,995,126,990,
750,786,108,626,638,051,649,954,909,902,330,053,979,762,743,601,987,808,839,
224,873,134,283,608,763,999,061,725,076,605,349,785,798,374,369,310,328,518,
201,584,393,570,866,719,060,528,664,828,917,539,560,856,873,689,825,574,855,
650,815,288,742,227,599,599,686,065,704,257,919,101,326,770,503,312,265,887,
284,027,845,394,703,402,793,841,242,152,453,722,200,097,363,414,100,845,347,
100,029,375,856,385,003,561,336,347,668,198,054,971,625,466,133,499,622,516,
062,189,174,211,157,178,303,696,837,791,696,885,876,161,962,619,690,772,134,
884,682,008,233,625,443,342,719,113,688,893,315,654,900,001,952,153,514,797,
467,959,228,599,936,631,624,278,075,172,635,236,419,945,672,496,925,174,580,
846,203,986,177,796,452,228,926,508,940,546,519,280,183,385,154,992,528,049,
500,802,314,421,645,279,075,099,423,253,260,203,836,724,807,956,554,894,333,
367,143,944,606,002,850,110,777,812,586,378,342,231,773,567,333,577,493,349,
765,200,514,142,408,968,828,764,488,763,654,159,787,250,715,429,178,587,218,
818,892,561,899,796,605,893,386,542,339,329,738,537,109,755,114,102,799,954,
990,393,698,144,721,801,002,477,649,048,887,178,790,974,534,212,316,822,973,
774,307,224,041,350,451,130,413,458,146,223,789,152,934,642,544,027,230,598,
939,845,898,061,355,307,639,521,274,813,983,098,221,498,850,520,447,100,701,
296,805,045,668,620,054,276,732,446,976,036,683,168,766,767,923,077,544,735,
051,869,479,357,321,101,385,942,619,640,354,988,269,175,344,583,957,577,003,
752,721,113,034,651,429,422,053,222,787,498,254,359,475,941,961,665,587,118,
893,475,394,942,720,404,688,903,361,936,289,352,622,214,110,062,588,421,786,
926,201,343,722,741,412,483,305,698,464,599,631,166,520,637,645,539,916,847,
942,271,304,168,765,653,306,614,741,035,924,442,244,452,103,404,882,112,706,
844,437,507,417,809,406,273,580,313,346,204,220,411,874,263,341,502,504,053,
652,749,118,353,531,700,281,561,431,990,770,849,041,519,447,102,423,034,662,
844,250,803,686,736,440,284,273,772,860,299,973,352,184,339,183,061,053,896,
868,578,574,358,655,251,976,009,545,933,618,543,937,437,984,865,926,400,967,
338,071,275,051,035,838,506,356,402,630,226,035,420,493,393,565,100,181,247,
287,837,808,583,182,618,779,286,230,984,250,271,946,468,499,236,118,304,054,
404,799,409,923,486,267,765,502,828,310,536,127,427,984,881,353,883,921,789,
127,628,459,104,310,651,926,971,758,441,919,116,657,447,062,532,033,298,504,
694,075,273,887,838,382,624,669,894,848,389,077,195,236,590,674,185,071,199,
279,945,165,041,438,198,950,475,048,639,847,865,389,774,948,474,140,878,436,
055,135,512,991,383,840,565,173,058,231,680,950,437,685,971,284,626,768,351,
805,275,730,336,620,200,536,716,375,606,878,170,316,557,105,533,889,103,430,
707,347,299,165,294,192,477,464,220,671,886,157,645,371,911,272,419,857,491,
254,155,578,933,959,764,982,016,048,084,385,880,729,144,914,272,462,695,856,
035,153,878,084,374,512,072,066,573,239,677,378,472,413,876,897,703,191,688,
273,432,463,216,005,211,909,691,688,008,639,535,988,069,420,273,704,832,687,
997,690,296,938,928,182,032,135,767,087,497,182,683,906,921,672,058,402,289,
762,811,952,752,945,084,477,090,578,748,189,158,871,435,142,984,277,327,101,
407,362,483,013,604,225,008,914,154,442,522,404,776,533,496,396,537,284,462,
162,429,177,009,221,515,506,583,583,752,651,597,601,886,777,360,676,491,733,
480,482,848,105,248,053,792,472,600,952,408,413,112,972,750,945,868,680,839,
904,225,325,548,816,453,815,112,779,104,888,728,535,536,917,964,811,401,817,
846,956,711,701,521,762,037,516,936,628,586,562,271,664,107,612,248,007,615,
094,069,587,449,713,476,545,868,751,034,770,507,933,696,624,709,680,296,437,
185,415,915,313,901,982,510,134,909,427,059,680,197,362,061,291,703,334,669,
040,889,624,744,748,196,429,438,744,214,953,138,839,170,987,759,641,940,708,
542,055,702,916,277,118,089,887,055,852,849,229,230,265,458,882,510,341,778,
304,214,222,374,494,461,790,628,992,875,304,871,495,940,694,954,396,112,749,
931,112,168,845,531,872,016,628,949,337,916,628,258,710,665,600,325,221,050,
171,013,323,963,477,633,511,687,075,701,119,566,586,229,357,133,670,925,928,
187,939,283,642,994,066,547,680,919,512,763,299,909,001,546,568,305,321,069,
738,149,426,507,897,097,284,247,044,272,463,704,656,518,348,466,734,423,326,
576,401,127,312,901,796,244,612,606,077,590,201,376,975,115,935,537,156,691,
053,161,202,031,531,613,866,221,956,262,458,483,665,507,061,082,265,993,678,
886,464,041,536,327,494,452,490,250,064,392,452,092,352,555,996,385,081,593,
089,035,145,715,269,023,764,078,827,721,785,070,731,953,980,883,535,237,120,
292,709,405,677,607,114,522,381,069,024,360,977,265,613,459,266,384,524,790,
750,140,803,673,788,990,940,608,598,453,057,707,485,614,974,960,630,549,508,
162,185,632,106,867,281,704,950,902,694,522,406,958,507,473,271,081,508,931,
380,365,479,459,516,304,377,271,550,556,847,185,576,758,575,637,231,957,929,
543,671,836,351,486,613,515,282,706,377,320,543,483,428,783,434,958,704,247,
863,108,992,488,554,372,075,073,773,945,301,712,176,480,900,123,260,316,521,
914,538,697,150,961,967,562,625,111,602,845,844,475,594,161,311,533,035,744,
249,443,473,151,349,912,955,986,379,634,471,223,740,947,861,583,785,696,053,
084,891,978,741,595,542,226,062,230,854,576,891,183,102,545,845,870,297,903,
207,950,111,106,850,265,118,964,225,286,927,733,144,971,961,890,223,907,856,
414,843,662,775,371,743,131,248,438,219,249,125,130,080,983,618,525,118,130,
203,578,904,382,900,743,266,241,314,796,799,807,951,037,142,265,790,105,417,
787,013,307,044,584,139,486,745,321,313,043,411,024,130,247,717,538,450,148,
236,956,543,991,870,150,465,928,763,722,546,067,499,942,389,296,080,120,314,
429,038,335,134,581,565,923,444,173,482,018,798,652,857,230,896,562,002,374,
112,873,944,887,471,666,543,310,547,593,793,341,401,905,895,592,622,419,043,
694,747,750,696,546,053,329,464,385,237,180,943,558,759,642,145,324,643,866,
950,244,302,756,014,294,225,579,031,946,628,615,542,396,606,139,372,452,200,
236,502,724,092,120,878,178,857,319,459,880,404,356,580,652,957,222,576,378,
150,127,730,477,134,201,423,578,925,813,361,138,475,866,021,086,585,428,163,
821,517,277,942,180,276,258,453,505,646,856,457,628,553,045,089,507,115,878,
800,026,138,713,478,448,260,260,992,864,898,035,993,478,356,878,179,647,833,
910,647,637,732,407,620,554,936,188,488,200,543,152,925,493,266,849,562,601,
562,460,008,848,335,434,423,094,140,890,353,334,101,877,989,169,467,979,095,
760,418,830,553,155,113,071,432,442,978,765,001,498,062,326,892,831,210,551,
077,210,110,681,240,606,799,845,936,624,030,993,060,384,488,792,117,832,638,
446,421,344,318,623,095,983,393,509,011,026,925,266,520,167,633,962,275,106,
501,654,066,245,557,475,033,829,981,994,673,457,055,008,553,711,588,410,361,
258,445,205,457,934,415,050,732,007,236,102,501,460,059,813,084,146,508,886,
577,073,163,816,356,000,579,549,821,140,285,520,105,924,403,304,546,031,520,
652,221,360,452,040,541,177,265,850,653,014,454,807,364,654,019,852,115,610,
496,487,489,393,800,977,831,559,621,734,785,114,767,648,275,138,451,189,391,
388,116,878,595,379,137,792,806,833,485,737,477,157,205,856,344,142,939,452,
458,028,571,150,582,219,029,475,733,024,733,288,035,658,885,758,256,407,120,
043,277,205,457,995,879,921,257,140,083,200,051,255,020,644,170,304,765,004,
702,920,238,871,656,348,218,474,916,865,876,992,739,758,315,803,241,023,493,
076,730,428,283,317,197,002,101,011,269,431,768,116,431,400,819,087,926,436,
302,322,155,361,871,140,327,951,125,902,007,763,129,338,507,612,106,581,909,
695,820,012,413,604,862,511,167,398,135,982,238,475,964,730,992,141,981,539,
338,832,872,956,292,786,482,484,600,590,546,387,709,892,940,485,109,632,956,
447,632,765,810,123,247,291,034,979,894,112,112,532,152,469,762,911,449,977,
286,852,315,895,839,880,633,294,097,976,519,828,491,447,387,657,116,797,918,
888,878,305,947,221,723,073,017,033,293,337,080,092,714,975,553,262,221,812,
926,984,765,728,512,481,285,023,174,513,896,600,913,523,965,683,669,537,218,
045,528,713,302,257,994,852,661,295,334,889,999,894,047,260,831,559,147,078,
021,176,042,275,581,117,024,471,437,776,159,681,549,934,683,688,882,040,037,
980,203,874,714,076,676,102,252,386,417,428,294,107,801,319,450,586,028,648,
229,063,046,430,198,695,068,980,480,413,760,310,221,969,109,903,546,794,410,
376,849,183,872,154,407,805,750,165,995,064,120,031,512,559,124,994,048,240,
123,359,104,668,161,338,557,802,860,961,646,449,104,172,472,162,461,236,534,
989,962,149,244,184,478,716,380,498,302,171,289,538,408,813,621,826,132,156,
321,145,626,747,833,169,872,116,205,105,883,755,531,916,146,363,572,670,810,
210,513,736,016,365,571,695,353,198,537,719,361,160,503,509,846,017,785,348,
178,679,949,231,362,935,300,058,799,149,776,262,802,609,887,466,020,023,529,
215,942,762,339,676,474,194,083,152,554,703,997,020,971,066,414,162,224,400,
642,164,801,727,469,323,496,093,736,221,545,269,133,483,175,280,719,623,403,
565,926,108,518,141,068,371,426,427,573,565,133,632,443,112,360,665,767,325,
810,511,788,379,225,459,264,932,242,217,334,011,546,205,094,326,141,395,289,
038,723,298,427,907,232,540,187,807,989,523,747,980,145,260,524,013,488,160,
528,709,528,074,373,068,701,046,854,854,166,090,768,890,415,625,211,899,897,
169,941,156,348,242,266,317,780,812,506,534,808,639,723,209,275,083,034,511,
081,688,799,089,163,551,324,990,633,532,742,712,502,288,599,052,675,398,429,
928,740,801,402,284,501,018,634,932,809,248,782,670,826,423,345,912,320,574,
979,183,025,650,790,787,466,928,605,067,955,387,765,070,223,163,777,735,042,
919,904,336,410,943,227,905,224,706,655,118,495,987,188,812,191,063,427,683,
678,061,153,906,956,590,823,485,834,778,861,811,283,748,808,009,403,358,274,
276,771,595,109,879,705,515,816,983,294,358,914,811,265,732,037,376,655,288,
300,994,613,730,687,591,004,261,656,761,778,667,123,558,211,263,294,650,628,
373,154,351,713,153,347,350,609,220,137,297,672,698,484,995,119,122,047,121,
283,440,435,217,196,628,802,365,463,023,625,945,297,525,989,331,045,518,208,
894,965,756,295,286,856,662,617,117,654,667,422,270,146,508,839,283,529,095,
455,149,637,787,718,223,550,579,216,011,032,482,941,422,532,084,879,750,748,
054,057,405,448,474,598,541,346,792,519,686,938,316,474,816,655,711,418,045,
899,057,661,826,312,464,067,445,430,091,061,377,899,913,624,441,225,011,470,
231,377,638,585,739,370,840,366,369,126,032,679,423,055,036,739,695,526,710,
853,224,266,587,756,613,829,481,492,686,099,424,158,296,993,523,516,085,892,
444,402,751,178,244,000,325,891,253,746,502,946,357,890,507,777,436,857,598,
873,443,992,342,048,443,515,035,504,178,987,660,484,739,459,998,726,264,671,
620,934,183,791,262,336,705,699,443,087,966,818,416,026,360,969,389,650,730,
717,846,175,798,602,181,197,743,455,552,457,101,124,413,782,594,866,884,809,
964,065,854,158,564,668,556,916,574,762,216,169,504,411,236,599,558,820,418,
103,240,118,223,393,019,538,171,082,310,659,286,027,822,604,998,090,330,687,
899,264,234,424,222,847,991,395,863,029,817,150,457,880,522,099,019,622,920,
724,300,451,478,594,945,112,090,586,205,764,269,481,100,627,974,399,179,029,
220,483,327,518,219,395,504,661,329,739,113,679,606,265,081,557,647,709,813,
603,387,768,626,056,548,301,636,661,259,677,323,600,120,696,101,733,781,868,
830,346,648,004,907,687,576,062,510,510,997,368,848,299,147,084,559,657,021,
189,321,318,893,490,031,925,216,416,495,620,700,278,982,750,366,916,639,597,
989,296,195,315,961,450,220,592,471,791,682,770,157,317,629,172,282,756,363,
843,804,297,824,160,012,613,332,066,209,743,444,641,694,519,392,062,454,864,
931,836,445,505,795,800,485,440,896,331,451,574,697,424,593,320,475,522,541,
021,755,299,067,628,596,587,176,461,696,753,547,517,068,732,259,610,151,479,
100,146,929,612,265,018,177,218,526,341,814,629,986,569,646,338,192,758,217,
303,307,270,165,047,174,088,027,799,501,788,841,173,471,969,461,631,834,349,
462,594,768,267,852,564,491,241,300,274,047,105,417,177,404,421,569,777,347,
841,206,234,859,067,359,284,632,709,692,104,504,835,007,201,118,333,644,807,
723,858,827,612,519,449,319,213,105,887,575,220,026,914,393,069,649,242,138,
528,076,958,019,802,751,646,097,064,443,750,707,142,100,910,552,159,983,456,
427,365,633,373,337,079,093,702,106,099,299,087,971,054,943,355,852,148,516,
229,684,588,629,306,899,596,927,698,483,857,984,665,181,668,445,945,128,577,
522,095,878,042,151,977,464,759,279,785,624,925,056,039,063,282,663,085,501,
973,435,766,849,913,058,439,767,552,021,741,942,426,866,184,075,908,169,351,
597,590,391,184,627,141,825,835,981,418,812,211,223,828,614,455,395,389,513,
225,483,684,203,926,114,391,318,555,839,746,437,577,933,110,606,154,371,841,
075,452,803,699,671,776,878,693,479,736,160,323,683,332,009,948,524,759,357,
625,465,636,612,829,465,965,322,372,553,616,370,370,197,539,138,131,326,511,
505,218,255,972,838,219,061,030,596,376,658,778,722,752,071,586,506,795,879,
622,139,030,229,203,207,309,201,940,180,558,310,078,199,183,376,432,851,328,
144,022,189,113,736,152,102,824,151,449,115,516,521,982,389,860,200,821,807,
123,582,966,228,769,772,151,508,445,302,912,450,222,365,662,115,431,791,399,
544,144,579,684,151,460,715,296,169,763,251,072,437,184,693,497,893,617,201,
782,636,166,053,844,109,924,783,299,524,158,684,250,173,772,954,963,286,891,
785,179,238,535,563,508,623,591,741,752,523,898,351,088,677,872,609,970,418,
711,187,985,416,813,920,921,736,304,809,131,766,481,858,455,405,101,993,460,
578,781,841,847,182,354,594,622,976,369,415,320,820,606,275,844,174,593,559,
830,164,981,105,139,022,749,807,081,953,918,104,958,856,560,896,963,567,116,
148,327,262,143,084,538,038,424,511,804,168,860,953,202,646,692,472,649,381,
078,384,701,376,289,282,266,299,618,875,607,895,525,692,841,600,492,431,831,
913,815,373,664,713,336,032,799,871,330,837,940,736,862,294,584,725,912,050,
027,383,348,095,114,570,795,787,331,706,157,176,226,484,979,185,699,977,969,
245,829,127,152,016,449,201,425,850,585,623,868,739,200,164,914,820,754,109,
540,890,210,647,070,933,201,475,002,820,719,558,152,574,519,209,720,862,623,
531,894,442,929,955,478,897,232,941,263,216,795,439,945,244,121,483,984,168,
016,553,591,284,001,629,655,048,860,620,048,381,195,478,932,784,551,028,269,
853,081,572,382,124,725,160,767,411,906,591,919,652,824,239,440,351,285,538,
236,928,296,453,968,604,378,747,642,852,408,695,941,950,061,986,148,341,311,
535,663,043,212,541,177,375,534,911,871,674,038,631,212,667,710,543,646,433,
789,991,514,279,370,373,741,946,088,692,824,612,156,227,361,293,193,020,229,
211,914,459,079,779,845,194,548,122,686,157,664,902,576,196,822,244,645,469,
182,037,632,387,655,466,068,918,597,083,955,926,113,628,566,841,957,186,223,
508,396,511,245,690,129,782,210,737,712,017,640,427,596,882,061,370,334,443,
585,390,385,090,330,794,061,093,964,825,074,034,719,084,088,657,470,799,180,
262,065,380,582,374,474,731,104,468,967,469,587,366,204,634,576,697,532,967,
742,837,239,359,126,861,421,003,808,885,981,625,249,666,938,537,412,925,318,
740,107,287,553,962,055,319,995,840,430,915,249,403,627,963,066,995,924,234,
077,602,561,439,121,267,153,767,988,095,704,363,679,533,542,724,475,943,356,
803,069,635,614,905,970,363,975,886,363,880,990,170,257,922,770,022,530,046,
234,056,131,710,308,314,635,019,873,404,230,867,537,849,886,420,336,482,968,
606,308,378,240,493,513,198,368,186,876,659,384,040,620,410,328,558,749,067,
102,360,414,609,799,444,458,201,793,514,020,256,163,208,878,990,064,189,122,
101,945,184,282,123,032,725,219,084,089,801,410,281,463,939,610,401,778,257,
702,270,526,339,186,216,209,703,689,168,229,725,693,802,984,436,225,813,365,
947,218,290,749,560,627,059,118,252,306,040,181,701,326,575,181,300,575,058,
653,193,487,247,596,380,697,316,976,150,890,793,726,268,769,391,857,405,748,
215,675,094,550,330,509,981,593,807,397,119,161,222,778,558,969,045,993,388,
270,960,423,619,018,482,024,667,414,809,032,552,334,158,515,470,770,305,488,
411,845,613,645,867,190,125,923,203,996,630,339,016,881,589,291,684,050,686,
689,925,176,743,844,909,874,674,457,462,645,007,157,068,064,480,309,006,344,
672,294,834,597,204,931,183,371,704,894,390,793,680,900,985,995,563,179,116,
093,597,037,613,128,929,023,891,420,329,245,234,726,850,174,052,033,210,984,
330,368,817,874,054,714,625,933,710,829,439,559,190,020,792,981,723,550,749,
778,037,116,944,089,546,891,962,634,749,899,659,602,905,000,489,949,543,042,
792,425,620,389,996,113,702,256,046,058,524,376,727,529,251,591,777,812,393,
734,760,186,457,998,606,611,155,200,887,548,481,200,069,253,893,466,819,506,
365,970,459,617,218,490,607,419,835,017,437,865,984,374,486,065,064,967,120,
584,270,863,109,099,525,126,593,507,062,033,154,087,633,971,805,722,956,638,
347,606,002,624,480,297,551,694,381,054,036,023,233,291,892,553,750,791,348,
059,719,494,295,054,468,833,330,948,689,945,890,241,517,675,985,588,040,530,
916,169,364,251,558,534,038,799,157,195,216,360,325,301,931,069,313,286,688,
339,995,602,708,296,476,272,812,576,167,923,063,402,845,077,050,953,906,468,
805,308,365,910,023,635,737,521,928,264,065,870,478,869,806,120,744,888,231,
347,981,226,744,323,623,154,084,715,952,900,054,647,494,859,381,529,647,706,
143,773,402,065,645,672,641,026,350,138,836,574,093,972,380,118,783,252,615,
165,844,425,467,603,482,554,167,626,773,660,468,406,098,493,457,056,155,968,
808,598,742,486,826,847,196,564,914,111,349,577,651,414,305,999,467,248,696,
696,441,255,315,357,491,631,781,027,007,301,561,788,385,978,323,575,017,474,
727,252,807,125,670,489,502,059,800,986,326,220,530,403,422,370,085,629,889,
714,988,493,274,674,681,363,614,188,895,963,646,325,173,507,229,010,172,438,
185,180,258,028,740,663,501,886,403,351,764,006,060,598,597,446,713,118,367,
267,794,489,673,577,953,066,467,746,857,492,068,463,117,843,216,391,614,650,
675,444,925,546,190,717,160,672,879,754,235,629,280,678,448,384,400,431,460,
499,479,403,543,524,186,919,893,010,626,014,248,189,912,021,932,306,275,836,
292,142,425,726,842,283,991,125,220,086,812,919,801,570,514,870,343,440,085,
559,760,439,002,433,569,671,967,752,986,271,249,118,455,080,808,539,637,080,
267,756,693,683,690,598,115,138,706,846,454,765,667,308,148,178,658,972,906,
475,680,195,653,222,227,028,096,023,098,172,859,874,333,078,357,529,281,807,
935,076,863,334,507,277,519,081,333,152,123,383,226,320,631,926,979,640,313,
780,682,742,147,716,970,411,795,636,538,033,051,358,994,623,418,066,587,459,
433,441,160,809,829,409,051,432,938,174,207,470,452,927,190,622,162,122,987,
873,395,045,739,595,991,537,961,803,343,066,540,135,542,976,721,906,480,853,
701,670,017,558,356,709,861,989,944,099,140,505,343,590,682,809,489,093,480,
356,490,088,877,364,302,705,777,532,326,195,531,860,976,183,057,820,866,892,
013,383,788,468,410,740,191,137,798,058,767,562,652,683,441,245,540,976,148,
896,453,545,453,429,724,444,160,282,956,732,459,688,824,243,252,111,116,713,
348,511,202,094,628,317,891,407,368,005,288,214,930,392,605,078,175,088,660,
682,407,835,228,323,144,845,948,241,199,109,130,240,358,460,639,483,999,086,
705,324,649,113,091,806,121,655,728,538,169,295,983,405,069,208,771,377,482,
047,620,800,970,385,239,412,362,075,837,591,076,211,831,097,785,941,084,565,
380,082,796,144,880,735,384,752,682,795,426,172,427,163,310,998,698,381,083,
364,921,045,337,322,336,174,802,242,517,564,060,189,393,727,680,752,133,794,
948,331,815,184,709,514,945,676,373,947,214,860,867,391,121,300,628,103,554,
709,693,879,280,033,497,212,770,990,479,404,707,009,688,819,482,870,094,459,
676,879,673,804,584,439,224,323,262,134,744,586,692,586,327,526,464,821,395,
568,798,973,965,544,901,772,448,780,013,714,818,490,977,335,747,629,047,974,
848,339,424,224,398,838,091,907,711,857,087,024,776,265,436,563,244,197,133,
327,986,032,969,831,563,375,092,569,935,008,719,515,276,227,485,888,857,585,
364,926,562,283,000,904,219,166,191,706,442,340,748,306,209,054,554,834,255,
548,474,704,476,923,422,261,808,940,685,963,255,659,107,625,909,110,289,515,
607,294,177,480,286,370,143,708,940,531,496,434,449,942,871,149,683,656,195,
424,139,799,656,380,047,604,886,206,127,555,795,748,957,026,527,422,562,740,
595,150,073,381,680,327,045,792,707,009,603,414,855,806,249,581,448,399,595,
987,403,155,445,888,756,868,514,003,434,020,852,198,748,260,595,256,434,982,
404,842,738,966,755,180,986,482,635,199,886,387,435,300,291,684,736,884,454,
891,885,266,515,813,578,575,764,405,970,545,728,347,051,738,133,796,254,178,
195,616,570,285,318,216,648,153,083,666,941,134,149,415,990,649,416,917,080,
705,722,846,456,677,447,236,883,299,906,703,094,328,408,182,945,444,836,602,
676,868,497,761,824,807,985,014,384,549,155,143,772,252,556,140,299,609,003,
578,481,159,621,420,403,325,523,696,349,525,005,585,395,239,778,521,309,799,
294,853,790,236,674,113,339,448,750,422,101,381,179,570,515,600,519,042,776,
373,611,039,890,708,670,844,730,736,356,795,906,280,325,207,139,033,485,753,
477,316,241,751,001,186,696,693,464,237,928,100,795,898,245,060,054,778,709,
210,639,177,307,771,367,098,347,593,793,805,998,941,212,503,924,583,338,126,
329,795,426,711,087,319,533,277,477,668,094,539,769,226,270,055,485,014,144,
115,878,153,958,153,202,808,665,563,605,722,174,762,675,048,405,986,631,974,
282,469,526,556,661,890,346,203,589,829,375,627,405,447,394,144,173,255,147,
015,004,769,804,137,501,605,698,123,647,178,035,249,348,211,965,682,347,071,
176,545,587,907,251,520,796,316,833,329,095,481,671,014,930,703,772,435,291,
283,858,315,566,505,995,292,468,211,442,467,214,603,626,184,053,856,215,037,
419,932,967,497,776,884,554,233,978,151,070,510,511,495,560,461,162,000,661,
197,470,218,830,122,433,506,962,937,808,410,623,132,262,201,231,411,543,674,
846,445,886,640,052,410,377,049,025,617,633,785,751,949,708,469,991,956,484,
725,081,540,059,378,274,432,963,169,148,260,851,949,683,325,787,204,137,563,
864,352,505,085,408,128,737,154,054,217,534,562,759,743,115,785,647,713,586,
651,368,960,233,894,931,189,275,339,313,838,695,851,617,865,224,574,311,884,
674,074,767,181,312,696,725,405,459,260,085,244,262,139,680,009,946,359,696,
615,252,484,582,664,400,263,615,428,037,303,970,062,921,242,506,041,105,461,
625,936,695,282,577,264,914,986,749,781,481,926,445,033,850,525,928,054,879,
293,837,678,115,216,920,312,062,199,273,707,382,220,278,193,209,798,548,173,
729,391,086,567,872,999,678,481,627,222,820,437,189,776,906,098,660,194,577,
025,885,364,024,813,426,927,888,770,964,126,349,974,547,668,060,654,099,239,
477,262,777,612,593,954,003,057,035,988,052,583,036,841,003,053,869,552,690,
850,055,023,689,868,733,046,460,624,966,162,925,425,915,857,384,733,004,202,
706,657,742,570,596,226,039,085,634,786,587,794,788,466,866,347,228,033,480,
397,447,990,599,858,356,554,895,153,163,504,014,506,890,998,215,329,227,890,
291,772,706,510,448,311,923,911,685,168,685,518,106,151,753,718,122,743,048,
902,765,805,479,435,407,977,535,368,776,773,873,700,284,862,516,759,316,434,
101,763,658,540,547,508,502,616,459,849,430,172,812,276,068,284,054,150,381,
049,587,886,067,766,588,627,446,856,940,147,338,843,265,916,706,764,784,052,
835,815,600,109,725,650,982,510,362,748,449,823,966,995,394,876,585,583,020,
841,611,399,603,267,366,369,833,941,349,149,571,771,810,429,846,887,185,973,
976,548,790,768,384,172,199,665,432,865,757,252,678,157,349,926,792,169,375,
113,641,425,429,103,609,107,027,719,197,135,861,553,002,781,337,378,782,757,
321,951,292,710,523,771,571,568,440,919,287,082,852,033,193,561,048,714,598,
902,103,894,013,405,024,011,722,330,614,182,152,811,270,385,798,172,654,393,
743,751,892,558,542,205,450,223,134,662,984,550,773,065,271,516,360,077,438,
255,898,192,502,464,872,113,400,342,096,412,307,855,782,727,374,488,409,180,
835,031,608,643,149,649,031,106,971,446,239,339,931,786,965,204,453,191,034,
630,972,256,390,619,381,210,214,646,323,071,891,205,314,950,904,305,293,760,
091,205,733,473,936,773,577,198,697,050,328,494,613,658,130,890,057,336,126,
173,383,188,062,339,660,794,076,856,286,753,019,073,720,912,193,167,792,032,
578,233,855,819,852,384,196,256,492,456,102,651,039,446,637,856,111,022,351,
869,556,450,403,394,734,259,172,179,010,023,544,480,640,320,108,485,852,778,
914,309,447,505,533,124,472,225,853,762,707,158,821,245,974,859,186,114,107,
242,128,734,771,218,567,323,731,409,779,773,331,641,308,479,916,218,885,192,
563,194,760,168,412,387,702,392,127,564,227,519,806,559,941,361,974,807,580,
015,050,713,902,569,097,273,625,057,647,549,168,931,082,885,432,489,282,722,
033,180,206,886,122,529,167,447,900,404,501,391,760,514,204,540,978,312,229,
349,438,637,510,016,416,427,691,925,796,630,406,601,427,115,319,216,341,903,
992,936,199,929,774,078,314,879,628,138,031,157,231,343,626,585,923,175,024,
508,571,237,222,987,705,116,420,702,974,139,735,838,610,012,670,217,003,824,
834,116,214,486,209,366,442,634,730,210,279,146,374,342,010,389,644,230,602,
471,091,163,661,027,386,861,224,579,083,670,477,955,635,188,387,285,013,572,
676,144,224,489,025,046,700,183,535,216,206,144,714,815,163,989,593,037,056,
331,879,332,900,589,935,483,300,247,843,029,437,335,905,999,212,593,924,330,
178,648,542,746,315,338,502,450,479,933,018,217,934,764,993,658,619,393,568,
144,346,748,785,074,129,874,893,473,135,100,684,846,276,876,700,754,016,668,
212,953,409,844,605,091,513,419,817,440,130,989,903,738,990,476,773,883,001,
129,567,678,585,862,323,795,804,991,276,927,743,731,590,578,853,864,853,292,
694,379,010,894,441,317,393,426,080,826,566,234,782,023,698,525,577,987,444,
265,766,393,898,138,373,395,171,339,662,347,939,894,412,182,099,974,901,106,
603,833,453,104,843,787,332,166,591,615,931,503,122,875,052,214,531,786,023,
230,595,962,723,275,226,466,485,735,362,326,122,565,851,561,764,049,823,529,
912,016,976,439,805,340,612,625,889,758,847,858,154,961,020,333,527,127,333,
589,509,416,471,725,631,835,768,870,454,886,587,683,965,723,662,160,669,658,
940,208,243,316,169,536,890,908,348,895,545,754,589,585,746,284,760,745,899,
925,082,811,908,933,565,527,675,812,792,369,244,601,318,183,264,088,906,489,
316,171,024,726,752,412,112,373,087,749,751,420,733,227,033,982,788,424,784,
387,600,024,299,674,704,370,578,903,027,378,445,855,951,299,811,291,246,597,
396,776,884,228,261,438,193,140,578,541,842,202,152,406,025,872,642,667,774,
275,056,623,367,268,726,374,554,751,399,143,205,394,010,343,090,480,428,099,
277,164,601,605,217,077,517,205,830,697,711,512,806,357,198,432,744,288,388,
676,499,231,319,727,764,776,093,184,033,634,192,204,569,943,003,864,650,910,
548,648,310,502,209,772,749,366,186,293,559,981,479,072,781,770,753,448,690,
009,811,619,963,192,627,793,267,155,963,827,184,932,443,031,179,316,207,278,
681,758,702,704,952,142,919,888,199,540,672,251,661,978,462,349,670,098,093,
991,384,929,300,197,466,798,146,243,111,534,793,976,943,739,088,125,774,290,
206,045,967,528,076,109,936,457,689,417,744,217,199,213,292,071,213,090,382,
142,198,716,182,931,531,358,984,691,786,957,532,407,781,426,161,230,616,951,
453,262,181,319,149,814,383,508,594,502,403,730,828,406,346,000,708,636,007,
436,895,243,756,160,857,748,247,492,418,403,908,831,458,258,834,819,528,171,
015,837,997,316,185,418,681,213,614,400,803,287,472,491,778,935,913,377,004,
711,740,259,877,056,976,310,633,379,048,168,852,185,153,942,608,936,199,527,
482,079,834,348,354,364,527,602,347,626,889,872,129,698,670,699,739,003,631,
981,185,412,406,384,842,910,193,478,708,003,155,827,566,083,568,544,786,928,
326,481,419,635,682,228,197,537,650,212,329,623,940,432,034,335,298,274,600,
177,368,554,626,228,608,388,881,541,192,200,540,778,665,168,394,624,957,585,
925,247,776,444,459,848,537,155,649,630,913,758,854,839,422,470,303,745,405,
182,556,506,048,174,085,032,572,861,189,148,846,508,833,281,031,897,314,075,
173,683,320,170,151,323,586,496,216,711,495,556,596,883,221,156,550,723,937,
812,973,259,464,646,229,747,180,453,848,521,874,184,282,389,284,213,885,033,
261,510,167,904,796,917,867,032,532,153,425,320,040,800,199,824,599,600,456,
594,012,042,149,665,864,878,746,050,162,168,695,284,966,310,089,066,043,025,
226,187,667,902,881,076,569,510,036,347,017,779,894,759,865,603,759,903,091,
913,206,630,185,195,741,782,897,660,948,629,562,118,573,916,501,358,394,061,
051,702,983,438,042,253,329,692,606,091,459,308,613,113,270,723,055,218,438,
088,352,696,075,795,738,289,362,402,549,926,528,829,527,636,883,289,315,431,
741,710,435,116,987,622,991,823,889,637,870,295,620,296,252,654,695,373,176,
095,213,619,555,604,771,264,273,806,012,175,919,120,726,714,369,879,993,993,
354,120,407,510,740,143,150,266,717,253,696,000,476,473,038,955,422,971,559,
449,201,620,332,528,993,075,878,332,178,152,852,981,337,700,491,692,512,871,
554,679,097,473,450,483,190,022,690,925,141,805,503,857,819,954,681,128,007,
135,477,197,412,303,039,408,047,222,311,763,832,941,044,119,044,816,030,310,
216,169,036,813,173,590,388,133,433,110,502,372,326,404,349,562,654,684,872,
603,716,926,944,218,493,791,437,943,004,247,116,663,829,375,360,622,772,805,
734,711,103,404,251,648,721,053,531,783,139,528,753,743,154,068,510,267,226,
844,694,596,016,142,404,365,206,828,717,198,920,755,035,468,404,194,577,167,
151,774,831,625,286,589,332,202,712,359,096,373,230,729,886,044,616,198,756,
509,258,500,566,859,895,308,394,559,332,929,535,828,058,110,215,627,992,805,
400,695,810,612,219,385,564,682,116,466,691,479,152,202,592,486,656,050,789,
243,895,932,804,064,073,193,685,962,011,654,637,703,429,976,031,882,084,772,
192,198,736,299,205,795,533,734,574,917,504,760,641,862,070,602,244,810,996,
307,791,474,461,892,034,136,859,629,137,885,333,646,602,437,678,289,047,922,
677,451,257,815,094,017,950,207,861,566,183,091,370,166,905,526,696,256,646,
984,794,013,138,012,900,398,097,461,050,163,850,482,449,917,768,788,348,392,
863,054,573,130,866,397,394,523,824,512,917,394,449,791,359,688,804,552,669,
898,516,494,995,882,064,867,134,998,945,825,081,902,547,026,692,979,431,858,
578,634,913,492,149,519,180,825,220,917,000,766,955,473,844,791,774,763,796,
644,207,693,634,548,714,197,732,564,486,825,192,600,836,284,071,783,148,149,
995,995,688,874,740,956,227,811,147,809,692,861,162,650,171,219,187,881,322,
737,895,610,063,659,118,091,413,506,164,615,795,343,557,583,010,801,996,364,
562,950,321,537,554,607,811,941,581,403,979,710,530,478,407,550,586,329,891,
456,123,184,123,876,936,347,753,709,588,656,262,445,318,090,015,114,248,124,
252,783,089,478,721,550,487,831,537,114,565,216,488,260,420,327,355,785,716,
307,542,560,806,127,223,187,097,582,180,505,675,990,840,365,162,033,638,370,
631,098,686,038,158,910,370,307,896,401,525,269,146,248,209,564,138,386,633,
263,170,203,820,955,166,718,329,532,757,625,336,047,519,944,929,810,201,450,
278,511,835,619,796,808,290,743,213,189,662,810,798,140,191,903,811,929,666,
176,187,327,958,825,926,253,132,443,254,531,803,632,115,047,814,747,146,213,
949,843,350,732,459,384,035,943,069,446,545,405,315,839,084,000,334,817,426,
687,927,841,272,458,801,507,688,928,290,830,551,734,510,556,897,688,441,257,
005,520,596,007,313,348,402,405,915,570,609,831,728,414,041,067,181,032,725,
806,186,954,465,883,498,024,484,018,579,700,242,860,223,421,950,477,129,310,
060,066,288,360,780,880,100,037,544,139,683,433,432,173,719,001,626,707,205,
151,511,767,154,790,247,964,952,113,756,751,758,157,959,583,626,696,466,509,
862,789,411,370,560,184,986,120,672,844,823,111,283,310,024,832,991,038,673,
289,056,016,205,907,354,713,126,729,749,008,830,597,579,785,536,591,915,167,
424,269,540,908,384,027,226,808,244,803,348,796,765,063,951,899,528,658,842,
756,868,617,837,812,970,439,771,820,265,270,166,136,645,815,263,825,454,190,
850,820,034,628,742,498,583,878,027,165,803,025,764,253,016,039,806,425,263,
821,893,488,617,466,012,417,741,752,710,817,507,216,450,469,765,513,501,047,
187,311,574,907,988,688,732,313,910,085,744,192,674,582,995,214,106,359,483,
738,457,929,405,082,234,350,845,751,882,126,207,353,960,087,521,707,636,405,
509,611,200,856,321,353,340,696,413,278,270,049,449,131,442,438,952,192,171,
904,587,385,517,384,350,789,176,968,466,859,833,174,176,046,993,960,406,401,
783,857,603,318,433,833,915,677,688,633,508,906,106,640,590,417,016,058,087,
709,194,392,229,205,579,124,624,769,943,830,745,066,429,338,169,788,918,582,
852,846,099,348,779,122,230,116,969,831,072,929,834,308,727,183,290,719,177,
585,189,780,640,996,214,161,137,758,684,612,364,254,283,129,652,917,578,055,
180,019,034,853,389,858,299,931,574,216,252,183,607,699,305,197,043,958,490,
929,903,104,935,684,807,975,082,450,293,933,705,035,848,339,219,498,111,405,
046,365,453,734,601,126,622,180,409,868,862,936,841,470,771,447,738,529,944,
352,072,429,062,929,277,430,442,551,884,898,746,695,855,631,596,803,756,266,
760,235,793,205,854,211,516,901,050,711,680,571,733,703,783,758,063,996,304,
387,223,324,113,993,434,488,391,444,948,356,820,517,608,469,834,642,834,586,
798,325,943,116,676,279,924,372,074,957,899,730,424,553,590,119,752,364,370,
669,226,087,979,439,747,201,707,984,574,882,504,164,661,406,980,573,907,612,
195,245,174,083,460,833,291,744,300,855,274,099,625,140,346,239,300,373,896,
318,327,313,097,209,268,697,173,556,948,963,782,463,264,864,794,578,843,542,
917,984,508,764,113,817,689,599,093,546,721,970,760,885,635,359,763,998,837,
426,158,823,630,908,118,609,077,336,312,975,518,426,916,871,778,408,500,421,
585,812,741,325,811,340,599,924,941,373,799,000,591,295,254,335,109,732,232,
982,872,035,280,471,767,012,406,246,589,886,094,101,397,550,338,213,116,478,
137,223,117,308,312,661,590,532,675,328,831,948,143,515,503,997,351,953,486,
111,386,820,013,970,381,022,680,088,759,957,342,141,352,788,172,394,246,965,
192,145,222,367,889,666,315,992,564,340,695,981,476,750,871,114,243,610,889,
478,736,983,836,061,809,861,984,080,589,848,148,349,463,082,033,639,509,990,
629,342,780,052,848,661,435,683,946,742,637,925,852,250,830,953,213,017,256,
805,051,302,993,478,822,317,751,911,155,780,304,547,143,377,626,096,359,929,
659,974,683,144,650,218,586,170,405,346,717,501,282,433,651,401,780,900,228,
642,164,436,572,569,772,474,270,023,342,864,233,556,958,588,803,660,245,124,
488,709,680,070,909,428,728,178,854,733,335,450,557,823,975,469,522,568,901,
050,006,513,574,537,406,406,741,117,579,094,807,480,390,605,877,331,378,615,
280,717,477,755,811,734,762,267,874,085,407,823,015,789,942,908,655,503,943,
571,129,161,819,904,420,461,090,267,208,632,282,830,913,819,973,639,111,341,
109,103,778,141,201,557,156,077,396,577,461,968,061,837,418,403,980,006,892,
790,927,579,151,598,984,476,270,023,932,906,830,685,360,691,904,543,650,095,
521,138,000,359,065,845,989,969,592,396,973,717,290,806,270,762,176,293,360,
189,180,601,249,452,909,037,258,155,576,351,076,923,904,570,356,461,946,153,
721,231,321,228,756,411,696,043,064,398,159,889,900,134,426,501,876,245,645,
151,191,185,395,032,949,115,554,258,553,690,030,647,963,022,633,618,550,273,
825,867,608,816,544,384,178,167,171,379,652,390,794,338,706,479,643,784,295,
673,030,063,335,206,891,296,850,766,594,692,949,209,569,868,652,939,404,330,
027,588,880,837,984,851,162,797,237,761,690,696,574,596,647,977,856,745,031,
639,267,144,901,063,514,607,935,578,231,886,156,088,430,973,805,956,653,823,
153,596,355,931,034,949,729,770,290,814,616,212,142,689,666,489,184,796,522,
730,769,023,885,637,522,446,508,180,100,635,845,148,574,246,897,032,785,091,
987,177,816,753,099,680,565,982,937,291,240,245,541,196,175,951,426,447,216,
892,835,048,349,781,414,699,937,901,553,222,455,190,381,232,170,870,605,387,
183,864,560,441,207,638,637,753,882,263,007,831,021,848,722,771,050,014,873,
704,243,815,644,052,359,460,569,315,206,786,708,551,164,202,651,468,912,332,
320,933,891,377,585,738,617,994,105,572,792,441,790,686,400,080,254,071,605,
950,572,979,338,825,608,924,069,593,226,111,967,318,598,827,597,261,051,220,
788,220,307,132,593,762,279,696,750,007,946,208,691,863,202,162,052,216,785,
014,037,145,998,904,640,754,885,295,905,259,430,104,600,153,257,176,233,827,
222,186,772,556,479,682,239,617,929,045,311,210,034,031,779,795,399,193,730,
432,198,341,526,848,553,038,312,736,050,523,362,670,558,767,753,394,531,767,
700,340,855,239,772,143,976,174,549,390,840,400,176,642,899,222,286,009,803,
345,467,265,059,756,498,540,309,460,392,329,957,499,983,904,982,182,453,316,
877,014,773,804,143,950,160,717,404,674,958,030,684,564,205,568,787,788,262,
532,479,521,474,154,951,052,034,505,903,107,302,407,643,361,519,551,698,361,
966,365,899,812,065,501,501,621,504,679,603,906,153,428,185,483,350,011,322,
570,226,080,141,375,046,745,999,242,367,547,264,815,147,971,364,994,021,259,
173,099,017,822,568,172,232,086,801,009,925,046,183,552,134,544,941,367,399,
891,803,758,698,361,164,035,725,010,336,017,527,602,415,496,376,759,548,864,
898,264,963,093,534,384,483,018,069,148,705,584,084,780,000,086,290,499,800,
418,784,053,772,159,237,151,334,086,133,653,552,444,901,036,079,600,106,479,
854,096,270,501,151,729,996,886,942,047,784,190,490,393,496,072,570,815,992,
416,490,157,063,435,511,397,726,918,813,663,208,958,922,181,057,930,555,226,
002,816,165,400,782,492,892,316,206,543,427,177,051,097,621,935,505,895,411,
043,937,188,058,350,192,258,450,413,314,865,388,248,984,063,634,763,446,458,
478,038,867,968,180,359,139,621,206,520,434,971,447,789,240,035,304,131,096,
402,717,222,223,215,843,557,346,605,951,869,490,370,379,343,728,009,439,482,
211,628,261,649,589,193,147,483,825,179,117,201,982,762,500,908,657,460,468,
308,640,747,074,924,933,202,234,303,565,583,454,812,091,612,700,286,257,944,
648,537,489,340,961,971,058,804,589,376,563,250,010,839,162,331,256,460,648,
479,205,985,107,795,858,441,241,116,722,749,246,566,088,182,639,535,011,997,
974,671,116,605,713,553,213,403,628,147,320,111,501,264,392,921,054,773,397,
612,129,491,758,700,421,406,265,540,272,620,161,606,254,109,661,936,392,129,
541,039,400,051,745,766,712,339,469,553,186,065,683,850,750,196,089,280,183,
812,842,834,406,697,647,528,357,166,723,021,969,471,853,533,867,449,132,123,
354,255,497,323,227,483,635,853,064,798,030,116,246,060,220,611,556,707,055,
078,173,591,451,536,425,055,939,069,580,698,546,254,877,699,411,144,864,537,
243,333,307,382,418,200,926,620,834,478,055,598,327,693,292,216,482,880,916,
721,302,230,692,542,236,612,752,673,511,079,704,482,935,697,521,131,113,042,
003,529,928,039,764,791,396,617,462,406,797,802,032,371,848,827,047,491,235,
411,369,840,306,995,672,949,558,100,218,274,508,189,055,508,569,364,537,762,
380,611,108,204,827,339,573,402,289,470,778,397,596,126,469,868,287,740,607,
581,996,301,451,971,612,147,511,595,771,589,970,375,954,809,901,187,681,922,
875,634,772,350,677,855,877,331,644,018,029,774,525,033,180,903,199,563,013,
054,242,043,289,002,941,890,441,328,843,868,941,456,740,907,967,795,682,282,
779,536,260,458,729,156,069,610,529,317,575,441,420,898,288,615,331,262,711,
415,908,127,438,355,416,392,983,236,103,920,474,007,889,605,784,499,635,080,
566,434,718,591,367,743,488,180,977,663,715,819,156,535,931,778,779,418,185,
134,422,546,543,480,404,934,145,585,778,897,384,102,893,141,339,656,517,558,
930,517,741,748,995,446,100,777,804,818,538,798,546,761,560,018,238,772,335,
030,060,585,306,669,537,143,675,552,693,525,391,799,790,043,187,003,981,196,
326,554,825,515,437,925,624,900,324,267,536,797,074,806,296,992,822,650,779,
241,057,184,205,392,615,294,236,378,950,586,399,782,289,084,383,447,414,760,
955,542,495,277,081,719,747,704,324,501,544,897,254,167,837,403,181,808,194,
112,688,646,594,563,046,317,506,867,414,822,827,383,503,775,863,812,596,309,
703,630,216,571,703,356,612,136,607,368,722,478,273,887,406,743,980,915,636,
385,787,603,534,563,352,426,176,797,906,395,708,112,272,047,330,541,082,203,
254,670,503,902,660,735,344,263,199,782,750,596,597,410,949,145,559,307,008,
219,849,826,066,676,900,071,175,554,091,951,490,202,223,439,251,678,455,711,
504,324,234,420,588,101,746,085,764,139,116,960,301,168,228,877,634,806,005,
370,730,533,093,741,133,086,970,420,248,966,585,372,833,428,384,936,901,819,
929,799,010,804,446,383,491,678,416,989,445,356,386,589,809,931,647,889,857,
310,523,474,280,251,697,093,741,933,804,467,608,485,201,721,661,863,623,070,
955,152,229,831,045,125,376,542,849,920,391,173,139,972,844,488,233,000,726,
131,817,975,923,628,285,251,805,997,570,009,162,716,747,380,318,731,471,348,
947,923,601,620,818,902,243,469,490,385,161,655,732,831,821,220,784,919,973,
682,569,942,457,194,983,588,418,595,793,788,316,756,964,378,282,576,010,761,
293,323,798,236,278,113,547,993,081,457,839,316,524,900,628,217,571,297,723,
114,151,370,678,281,002,835,150,074,562,855,336,843,577,106,766,114,236,230,
562,532,366,496,106,051,997,691,537,658,265,827,185,540,472,068,875,172,553,
391,368,620,579,914,559,826,236,421,303,935,252,878,207,647,252,615,903,425,
747,975,162,905,399,452,069,690,077,975,905,150,873,262,086,917,650,062,560,
699,982,253,836,360,347,004,885,230,624,749,308,368,244,087,542,064,849,032,
170,947,210,732,220,829,148,198,105,372,336,833,790,953,647,787,606,518,888,
533,049,922,049,401,332,370,444,583,076,463,751,469,358,705,450,164,965,004,
012,949,446,726,431,153,961,690,633,516,535,987,194,265,059,535,469,532,036,
128,834,621,349,103,499,952,519,295,337,064,325,164,328,996,702,559,751,897,
006,903,009,596,549,259,450,136,530,046,365,318,279,885,785,284,544,618,888,
280,511,616,258,257,412,412,875,936,555,383,465,585,611,155,191,415,317,684,
735,704,260,327,014,774,039,542,384,760,686,751,429,269,869,439,105,848,702,
555,706,024,284,021,617,568,368,323,972,020,169,867,866,050,533,500,823,865,
315,495,655,209,631,317,681,732,343,387,951,775,022,909,692,188,282,023,958,
874,572,440,627,742,454,032,842,662,497,239,797,539,324,987,431,040,556,308,
499,219,812,229,925,275,010,506,456,499,014,792,075,230,334,221,743,199,450,
255,399,419,430,489,842,923,190,330,287,424,583,550,345,820,830,693,635,611,
653,685,178,364,542,770,998,837,121,552,547,608,231,134,101,330,183,447,194,
138,843,558,156,611,756,065,239,160,287,940,350,153,335,648,960,396,616,243,
219,144,951,643,515,212,375,380,126,074,151,333,733,295,664,986,713,137,372,
916,051,946,763,382,645,358,545,503,794,333,414,978,775,458,132,323,193,366,
692,161,565,403,393,580,920,118,363,544,486,255,114,359,151,899,929,803,166,
536,583,746,106,803,546,303,595,035,781,189,765,802,674,874,929,659,316,588,
481,692,872,856,926,269,914,833,402,139,968,217,869,326,066,003,127,054,146,
208,078,503,588,875,506,502,737,461,582,542,888,545,353,640,467,581,735,876,
465,522,900,949,996,107,118,137,209,204,532,723,708,301,232,850,373,106,263,
149,925,145,017,833,454,275,724,685,863,765,196,447,571,487,336,695,826,653,
046,476,673,985,280,888,185,812,652,912,553,105,730,542,468,049,402,512,627,
196,559,538,554,463,769,976,187,453,726,814,497,748,878,201,143,113,050,793,
572,466,410,503,367,401,058,159,062,535,632,879,372,036,308,695,313,580,076,
282,244,065,989,598,060,070,344,969,726,294,612,220,147,077,730,830,222,351,
461,167,730,942,179,656,034,454,645,993,051,128,297,497,098,671,683,435,488,
517,789,837,818,190,639,080,966,415,552,526,252,839,335,412,547,567,981,535,
754,846,564,641,434,876,077,513,478,057,322,285,953,489,530,573,057,242,377,
311,695,975,386,964,081,893,593,968,084,637,569,963,361,755,540,933,658,939,
024,673,265,934,640,633,350,397,482,431,906,799,677,232,362,786,224,980,232,
429,239,792,750,804,281,745,360,726,232,621,416,442,323,664,428,026,441,561,
550,841,311,164,220,171,535,480,504,242,591,024,263,530,335,116,066,722,944,
477,345,628,630,985,147,499,353,417,173,337,263,853,413,299,625,767,235,954,
831,646,803,994,279,272,983,885,249,740,646,620,017,965,200,808,993,996,744,
266,477,865,031,826,654,773,722,960,052,646,325,322,343,706,259,600,699,330,
281,050,673,272,321,519,219,596,457,573,391,038,841,163,070,865,937,036,439,
814,533,503,723,388,819,434,013,940,630,307,523,599,317,891,401,724,082,425,
606,894,940,891,653,202,400,193,405,704,817,776,505,472,834,842,800,753,530,
585,229,704,411,573,942,170,288,955,868,259,926,392,593,449,074,262,038,300,
903,499,907,232,033,155,712,702,499,097,948,192,743,049,737,548,905,360,146,
319,642,616,711,725,755,922,241,554,599,961,012,531,956,106,634,390,419,677,
102,444,310,198,033,286,624,213,197,412,568,726,537,594,288,979,948,572,993,
765,928,017,329,433,184,343,558,746,944,320,077,487,274,518,742,411,259,515,
170,027,532,807,845,114,925,516,391,351,154,695,448,681,102,051,227,354,936,
043,761,855,349,578,593,667,682,435,798,105,376,312,325,063,023,378,710,371,
426,168,339,124,476,318,856,602,026,064,343,638,061,028,951,573,160,639,252,
807,378,014,148,331,652,057,603,120,624,577,371,762,916,098,279,233,734,669,
782,501,082,299,797,371,025,359,009,874,580,900,696,213,682,716,115,737,251,
800,056,352,797,011,067,547,512,453,901,124,143,549,793,603,118,909,085,698,
079,468,621,384,707,883,938,403,028,567,369,493,483,985,841,377,132,744,261,
165,293,961,711,163,139,116,691,740,657,343,516,451,477,939,518,727,314,368,
719,321,142,121,366,791,163,955,782,215,538,380,010,331,554,906,783,176,876,
402,280,848,822,374,550,545,857,024,563,851,883,580,728,381,147,418,452,647,
681,634,891,467,412,428,546,949,504,439,013,550,854,144,404,590,940,339,050,
625,147,693,330,840,930,670,298,348,359,701,706,739,039,875,160,327,704,790,
700,554,053,824,194,781,867,028,213,239,093,898,311,322,216,600,403,921,810,
034,136,382,882,241,815,111,656,823,665,082,684,839,024,833,701,574,518,023,
186,174,109,268,268,103,235,991,427,643,798,167,006,360,581,534,459,044,056,
494,900,714,926,833,400,025,056,887,580,641,848,586,120,252,621,132,554,893,
857,163,330,965,791,016,571,301,537,881,551,181,021,707,357,879,861,951,317,
457,244,007,829,792,445,320,551,891,396,155,995,139,660,446,793,274,837,734,
500,189,735,661,414,446,428,386,516,924,707,779,009,447,841,074,865,647,205,
728,428,572,116,226,043,638,481,161,762,376,410,966,644,636,845,475,062,704,
490,085,698,762,742,988,142,991,551,494,184,601,447,012,431,343,071,416,087,
034,682,770,947,574,152,515,418,081,486,030,605,744,709,038,521,079,943,486,
043,624,786,682,094,690,316,306,496,685,961,583,834,327,323,098,643,550,347,
452,127,430,456,589,180,263,860,722,216,338,259,614,075,497,331,488,676,268,
730,887,864,289,147,420,120,163,021,329,858,049,486,973,294,594,991,872,114,
530,495,791,108,487,719,669,504,356,274,783,915,449,179,181,084,437,542,372,
691,478,933,169,657,017,433,496,997,007,623,484,316,611,184,482,791,943,254,
008,479,739,770,555,113,129,903,072,253,997,793,601,028,879,418,762,239,071,
022,953,930,843,562,683,916,702,833,561,592,726,340,283,857,781,314,893,449,
709,604,324,071,888,341,673,560,835,575,456,051,511,857,076,104,161,298,732,
418,897,439,286,527,983,970,394,393,553,180,300,220,533,608,257,493,494,717,
760,295,887,839,671,699,210,131,621,595,241,598,191,083,714,075,063,354,194,
651,570,625,807,551,489,174,311,322,856,529,556,180,145,334,577,808,944,333,
458,452,785,607,670,579,171,204,004,799,812,353,152,089,547,949,520,532,053,
703,240,555,270,770,443,804,687,342,866,223,822,999,575,695,493,053,254,177,
174,861,822,513,511,635,425,836,928,629,248,186,104,920,485,147,519,894,956,
053,421,912,728,291,437,959,117,124,253,068,899,900,581,339,835,783,254,148,
195,404,206,341,775,769,796,913,303,990,376,427,027,680,094,443,752,662,373,
292,760,356,947,914,883,896,151,670,034,083,939,948,355,628,290,293,606,849,
198,334,086,661,079,077,836,853,383,946,571,205,417,863,124,709,541,347,500,
998,239,159,197,911,689,659,715,692,525,745,690,117,467,968,004,729,025,371,
008,624,988,994,411,608,222,027,712,319,193,418,521,542,502,521,005,715,151,
269,650,664,376,433,221,386,764,636,736,131,061,933,518,289,064,042,373,819,
739,690,867,636,034,283,792,217,730,187,708,689,922,244,320,546,198,722,695,
420,958,487,556,438,685,204,847,091,622,125,138,750,842,789,645,691,449,011,
414,225,877,269,750,910,595,891,148,699,032,741,630,965,524,516,207,609,805,
214,304,897,756,116,383,876,587,355,948,248,847,342,898,978,687,576,971,787,
623,475,038,284,759,026,328,199,096,516,674,736,247,843,445,830,084,930,490,
092,703,300,275,954,189,898,418,215,172,680,171,833,227,117,115,685,919,334,
631,658,212,984,814,232,385,834,203,102,112,466,369,933,788,168,122,246,748,
673,899,484,574,965,204,983,254,452,646,872,550,224,976,787,212,116,436,175,
434,426,535,321,672,508,909,637,609,698,274,421,968,211,840,428,333,307,393,
926,211,350,357,680,069,929,297,803,104,328,805,185,413,352,378,444,433,917,
900,242,718,609,445,716,860,377,410,190,173,668,358,846,900,216,309,459,217,
282,739,733,866,368,720,495,956,599,415,528,840,330,127,087,464,356,696,604,
874,746,282,426,275,502,076,800,741,476,435,784,494,071,145,963,020,788,767,
694,531,149,750,186,944,397,621,175,423,636,273,516,959,883,525,717,457,400,
739,755,637,922,719,397,396,778,818,329,348,231,966,698,505,430,902,883,039,
823,012,730,430,012,739,062,074,735,731,200,284,435,675,555,964,804,518,726,
049,140,053,179,455,198,047,834,231,119,419,712,947,065,073,211,422,210,666,
715,389,222,047,175,303,091,751,643,695,248,900,434,468,099,504,953,747,542,
555,207,487,678,188,235,330,705,899,328,462,354,546,857,858,320,068,977,895,
872,079,348,907,272,456,195,018,193,925,888,207,244,507,987,974,606,342,298,
363,358,670,504,940,542,582,005,671,945,904,802,476,430,190,626,684,814,579,
437,660,224,001,713,941,401,109,397,124,949,243,962,061,344,247,448,493,044,
264,003,149,069,935,035,020,187,783,450,513,379,620,225,289,127,550,566,211,
219,715,075,820,737,758,187,206,345,221,285,865,828,930,587,716,362,338,049,
996,683,721,995,641,536,434,649,038,730,374,583,259,768,831,562,620,583,791,
826,604,139,950,379,806,333,731,206,782,889,159,957,090,425,508,514,165,269,
452,309,340,032,776,642,994,900,085,974,881,581,649,891,945,143,055,006,962,
373,645,938,262,978,000,589,369,710,527,328,496,595,405,652,601,184,856,092,
579,905,350,321,456,076,122,239,670,657,627,553,377,948,238,581,517,868,341,
362,797,248,779,558,829,322,491,555,759,654,462,457,730,652,559,857,901,731,
689,095,386,125,445,916,314,135,338,656,113,527,349,041,331,434,824,676,739,
600,453,701,923,078,021,979,845,567,279,786,363,885,389,216,274,890,724,203,
499,192,977,925,619,498,280,694,960,544,021,825,791,061,644,178,727,970,751,
537,299,951,772,641,114,538,156,007,568,079,389,958,566,720,361,317,242,288,
585,698,904,645,782,610,242,338,218,738,126,331,180,960,600,146,006,571,471,
734,153,044,804,667,716,104,358,766,735,466,382,245,628,948,444,544,591,191,
100,145,213,890,324,885,835,910,413,332,155,171,477,779,683,431,969,245,844,
739,679,096,626,626,329,078,724,924,010,858,741,525,325,987,468,634,480,649,
800,437,884,536,103,017,796,260,535,151,131,300,206,728,919,924,913,611,196,
915,627,864,051,011,957,428,652,360,956,030,692,487,803,083,006,534,757,319,
649,771,590,729,432,535,960,096,643,756,538,124,486,847,884,833,528,726,412,
182,717,513,054,050,602,658,788,987,203,221,947,355,948,309,338,557,183,930,
197,564,279,012,086,368,122,229,821,093,843,472,969,382,136,863,855,485,355,
799,677,914,936,460,348,466,555,401,674,395,129,028,242,543,058,340,298,064,
770,021,150,204,184,318,301,952,729,760,430,827,887,979,035,876,770,827,083,
442,391,648,263,415,677,578,183,589,846,496,729,935,182,112,999,490,031,990,
462,476,514,167,429,408,069,358,953,582,261,443,284,941,318,252,713,303,038,
085,939,546,962,651,620,790,384,874,669,120,866,844,754,873,569,280,636,746,
416,770,629,474,504,815,706,907,062,197,096,416,054,548,547,186,265,531,395,
518,568,538,282,451,618,901,192,471,140,485,083,819,027,131,631,373,065,118,
301,179,393,026,710,826,099,875,786,364,417,426,298,733,839,909,308,655,219,
055,248,265,416,878,183,800,032,186,241,645,139,766,468,272,870,377,673,394,
729,657,825,208,282,561,417,494,944,397,901,921,931,250,995,345,314,205,761,
013,421,546,846,889,109,622,943,015,291,477,764,213,506,334,064,045,444,234,
360,053,521,959,314,127,346,240,475,271,745,073,420,708,220,037,971,338,072,
856,554,879,508,299,127,924,425,986,619,404,599,460,972,339,011,983,154,191,
742,461,920,381,907,425,685,452,400,340,243,425,722,137,188,273,415,098,214,
476,335,864,181,580,662,044,333,852,676,198,997,917,834,917,870,296,103,046,
273,055,943,409,470,237,242,529,622,227,627,298,702,140,394,587,216,860,829,
168,756,832,426,862,807,230,775,121,551,768,344,259,881,718,104,704,070,555,
097,263,317,481,957,805,538,948,952,961,067,049,546,350,101,819,062,179,607,
411,459,838,783,461,379,207,105,675,306,124,716,865,107,386,972,509,630,775,
258,743,237,026,651,490,049,061,240,271,127,279,145,065,154,899,098,951,406,
479,471,610,425,092,123,982,736,628,493,209,577,411,281,424,491,856,152,916,
365,332,290,338,608,165,843,210,576,354,362,102,709,814,589,389,678,629,379,
709,878,367,140,555,681,210,265,774,919,659,718,164,895,462,239,418,310,457,
210,760,883,791,574,807,078,139,424,817,959,713,200,864,643,346,488,777,074,
501,567,887,940,076,359,724,057,755,324,466,786,616,210,013,664,806,314,080,
084,043,752,139,271,508,039,244,504,168,326,373,385,580,353,545,733,168,778,
699,531,246,666,224,653,612,477,361,758,011,578,671,912,883,125,237,363,564,
426,737,871,121,901,053,558,744,263,418,737,829,223,759,768,676,976,521,439,
438,362,100,560,869,985,485,003,165,556,384,241,101,803,527,224,168,661,639,
035,100,393,039,975,598,133,103,479,337,229,933,253,845,879,533,619,052,829,
281,702,352,146,801,251,561,973,288,111,481,422,652,950,204,449,243,777,766,
863,942,488,250,510,623,654,357,041,053,841,905,674,129,096,556,282,949,722,
739,841,440,087,990,406,715,743,304,881,984,663,702,933,796,956,154,806,293,
669,731,659,535,213,376,735,755,258,635,420,232,329,544,397,652,006,719,312,
061,575,579,554,188,007,196,717,975,215,782,376,853,656,137,140,782,963,933,
581,272,773,700,231,981,875,019,052,685,991,865,924,599,563,361,623,965,831,
966,111,467,111,600,474,911,937,967,918,990,971,527,320,591,442,641,862,222,
493,997,909,860,789,945,330,871,040,120,371,952,734,242,636,919,089,736,483,
773,866,501,948,071,549,815,268,968,952,877,966,388,440,857,657,020,727,788,
384,438,345,758,763,121,877,913,811,164,726,531,712,737,727,545,638,780,101,
067,499,808,665,710,855,261,288,920,703,302,319,596,278,991,608,193,798,103,
845,666,925,098,479,418,997,282,774,413,645,796,276,453,902,936,130,713,567,
137,909,916,710,322,878,778,538,262,578,670,587,074,252,263,431,817,640,947,
789,355,764,380,550,543,875,574,179,756,969,502,729,246,796,278,139,375,619,
166,486,437,007,287,709,813,239,819,314,922,893,605,335,748,208,722,044,524,
399,771,686,077,243,197,267,614,751,205,316,407,689,167,814,634,861,183,022,
797,141,919,518,721,873,821,439,932,908,557,020,718,371,661,458,777,308,751,
335,504,148,363,818,158,496,187,501,787,509,395,563,457,439,267,742,109,377,
077,426,944,967,920,187,976,152,266,928,401,887,231,579,983,323,547,337,251,
775,984,630,237,983,101,973,620,029,556,856,039,684,899,859,544,657,117,552,
682,179,356,689,618,525,230,698,267,768,800,354,554,771,361,709,035,993,676,
221,876,668,451,703,510,399,567,578,437,817,581,158,710,379,770,038,428,622,
940,956,222,793,570,603,581,215,884,118,524,169,897,855,499,068,105,656,714,
184,570,286,478,755,082,456,579,092,307,874,883,385,595,061,077,947,043,752,
345,788,354,638,982,361,137,791,904,060,355,395,590,192,040,742,123,396,537,
755,982,569,979,888,427,670,700,263,069,997,379,828,133,233,582,829,202,262,
759,417,182,982,599,191,920,974,303,813,790,146,356,093,807,476,305,057,516,
338,638,629,507,799,167,593,144,317,224,971,938,203,313,958,380,908,867,502,
411,284,072,722,749,441,776,937,905,753,310,243,926,078,127,026,236,316,048,
007,853,612,638,455,265,078,247,643,534,231,233,413,950,178,258,906,544,207,
259,031,807,471,697,664,576,117,830,080,083,560,978,251,758,901,573,528,405,
534,981,977,833,792,950,261,501,764,736,168,121,303,103,987,013,076,533,421,
963,842,308,441,629,098,851,843,727,129,995,598,699,456,986,610,316,129,015,
793,253,820,983,339,992,910,747,880,890,910,271,855,567,698,542,263,496,473,
063,894,455,109,854,331,113,103,683,514,601,315,589,924,472,765,518,526,580,
205,933,422,033,394,389,276,720,936,454,549,386,126,717,479,843,643,810,154,
930,296,410,427,674,496,309,661,441,820,868,743,604,514,459,474,445,349,589,
029,254,347,861,816,216,588,220,611,817,899,730,288,199,529,156,588,786,727,
294,920,251,168,460,224,217,911,470,551,739,714,006,405,386,490,202,499,518,
700,106,309,598,949,390,065,057,016,010,887,910,314,971,329,498,571,676,997,
074,565,797,701,893,897,636,601,380,979,988,040,738,057,984,241,870,256,830,
589,447,005,992,630,644,867,228,941,201,534,029,205,881,801,106,234,436,018,
551,841,950,350,883,700,515,452,015,184,611,304,394,150,747,041,191,669,902,
087,944,414,155,464,909,516,585,450,507,679,820,215,554,725,158,691,461,889,
079,006,826,728,950,128,803,851,040,910,139,176,494,110,072,254,472,943,613,
396,920,575,250,330,747,814,329,556,848,128,727,739,694,673,642,716,111,972,
333,528,647,133,097,103,224,819,832,300,401,738,869,387,127,946,495,681,758,
761,208,708,443,474,629,462,381,393,381,836,886,538,183,114,330,075,214,821,
375,614,845,742,536,556,891,943,435,134,329,155,655,806,214,897,070,877,424,
451,889,938,235,226,358,393,910,571,763,781,573,893,441,025,834,044,787,851,
233,667,202,931,262,704,081,665,456,747,167,877,147,403,040,387,251,365,378,
659,602,907,021,979,975,510,816,227,358,961,328,860,471,525,973,601,735,752,
906,650,552,917,608,631,284,298,151,037,901,606,796,860,139,034,903,816,696,
750,649,907,069,135,995,050,784,569,644,360,323,853,534,004,994,024,450,080,
613,473,982,609,336,012,301,195,433,637,130,197,175,579,224,186,744,146,743,
607,532,121,835,526,937,161,550,995,959,917,188,205,139,450,585,594,128,105,
529,308,760,267,935,355,885,945,933,883,274,873,207,893,705,631,911,517,087,
961,818,924,667,966,301,043,360,387,059,363,970,810,328,932,090,407,739,630,
963,006,277,398,382,558,376,562,517,632,889,897,992,952,907,261,278,356,010,
118,704,893,778,272,792,454,843,032,766,112,854,342,205,041,828,003,935,413,
888,912,053,228,886,701,373,285,065,010,625,847,863,853,088,234,257,582,368,
868,448,549,182,919,695,574,439,043,510,702,022,293,339,120,023,099,719,817,
660,148,767,348,637,310,479,856,353,191,444,727,739,293,762,184,089,546,359,
410,574,256,563,066,564,890,477,676,583,823,286,565,169,534,253,151,160,884,
736,952,726,815,020,742,890,884,051,167,152,788,892,264,306,172,341,267,358,
985,868,287,676,784,590,075,460,680,039,163,403,273,585,402,888,998,397,546,
591,053,744,774,396,503,651,728,588,566,181,101,899,077,509,363,480,304,379,
570,727,549,459,038,124,390,652,166,182,098,089,835,551,784,945,217,431,718,
269,035,716,284,691,642,037,032,029,419,306,644,250,057,119,238,768,772,921,
192,612,816,417,952,578,927,450,527,844,007,569,525,295,583,325,858,542,191,
204,737,267,414,200,008,167,730,979,872,086,525,700,767,024,591,019,915,771,
395,869,301,974,805,743,389,016,345,623,253,923,420,647,471,005,555,658,626,
142,750,087,584,395,663,589,701,795,102,298,616,574,165,242,466,515,981,049,
760,625,064,630,955,005,802,315,247,202,914,879,097,063,506,769,018,135,315,
152,858,481,938,080,079,050,436,506,624,581,745,928,580,366,385,966,471,676,
264,392,557,621,355,692,919,975,587,916,211,170,943,284,067,730,398,495,796,
982,543,759,399,343,848,283,932,313,443,900,370,174,222,160,482,494,738,248,
329,854,671,964,901,822,057,596,404,233,717,214,225,887,377,821,842,343,210,
388,355,133,946,693,378,598,155,337,832,781,728,767,919,259,932,644,540,637,
139,446,295,831,657,613,068,696,299,340,435,605,898,041,728,165,150,996,437,
695,986,910,998,761,560,685,019,957,801,178,845,672,693,032,399,641,667,054,
522,451,431,833,773,052,299,467,577,636,013,337,502,266,876,257,932,708,626,
314,340,272,888,808,330,752,364,970,006,647,833,849,272,210,185,166,090,359,
064,342,108,715,254,913,637,742,484,875,633,448,830,860,461,235,035,407,626,
130,226,101,858,105,538,547,662,557,273,001,637,967,777,794,796,118,013,041,
647,703,083,206,271,764,877,918,670,299,912,413,784,212,678,841,155,089,190,
628,616,058,610,959,933,374,254,114,880,584,989,931,023,656,419,238,188,297,
310,050,522,191,893,247,606,314,965,503,364,762,394,876,236,350,137,136,772,
224,713,920,677,197,151,459,185,910,892,770,109,492,598,641,750,693,440,407,
741,375,211,678,288,464,414,418,808,955,884,253,224,172,855,963,129,353,225,
173,337,876,390,527,081,464,339,450,156,723,226,688,096,400,981,181,734,083,
405,549,994,309,839,988,902,322,606,271,275,138,247,704,301,309,456,169,969,
239,593,041,488,339,269,804,502,214,330,201,529,793,915,815,968,196,357,035,
076,365,567,584,013,472,875,626,246,479,245,141,064,905,695,275,208,363,608,
644,568,527,537,534,649,237,761,360,832,456,960,641,305,755,566,505,030,614,
354,032,057,324,378,079,572,207,562,448,046,489,089,529,779,712,155,168,576,
078,125,135,715,288,615,601,585,742,858,881,527,664,886,928,132,914,037,742,
622,771,268,767,794,740,017,733,466,110,828,377,048,701,002,876,918,049,981,
160,407,371,856,982,130,312,268,808,428,175,719,077,308,998,460,854,559,330,
708,293,235,238,961,276,734,615,189,164,972,519,535,537,757,583,021,305,240,
183,880,176,508,272,915,043,815,210,957,998,456,260,897,069,429,049,187,464,
128,299,556,534,881,149,332,747,899,528,481,732,376,397,624,090,059,334,175,
610,169,414,535,356,646,850,733,149,187,679,781,672,377,845,520,801,840,876,
150,075,469,367,162,968,008,798,308,961,055,561,220,866,947,055,107,873,139,
984,689,037,883,852,443,107,452,930,861,233,971,835,329,318,624,893,111,882,
858,880,342,952,106,962,438,748,521,192,816,500,986,809,225,394,322,621,356,
518,794,109,699,751,475,505,924,643,192,498,825,822,723,339,643,918,063,485,
979,122,332,157,871,562,912,949,720,101,504,886,282,238,381,940,195,510,944,
098,306,536,786,709,925,309,049,255,985,668,661,569,019,054,895,500,391,066,
934,783,831,625,475,016,519,550,942,288,821,106,020,957,038,915,877,649,409,
004,275,925,362,329,311,824,222,557,212,511,937,697,258,476,880,550,605,947,
129,591,165,718,850,976,996,597,810,900,175,333,096,549,107,662,955,206,473,
828,426,947,887,133,612,501,900,177,995,654,744,590,973,060,096,717,624,577,
785,817,551,027,829,411,251,926,302,236,148,112,412,087,803,551,542,701,640,
134,411,723,567,641,521,187,499,331,280,143,929,446,668,306,537,970,984,499,
522,310,728,934,005,561,469,702,815,790,646,213,738,110,884,033,911,662,549,
305,543,274,686,489,733,175,957,533,075,191,710,864,153,550,266,670,618,801,
809,776,929,062,098,716,836,575,971,456,941,949,452,600,355,157,023,922,078,
513,580,410,161,101,478,095,659,585,512,120,050,765,067,222,451,937,812,489,
016,114,284,756,687,442,708,256,394,832,975,065,498,347,739,262,901,502,057,
032,116,601,133,230,581,738,634,272,179,457,206,554,990,555,969,158,050,404,
801,368,891,765,625,104,603,212,847,909,812,924,303,436,348,767,996,612,131,
544,160,444,488,629,638,919,862,717,468,830,107,924,969,836,246,260,203,794,
478,803,929,602,339,564,462,471,403,218,761,186,633,697,431,920,134,983,084,
894,418,722,460,137,411,135,739,783,553,993,123,198,461,719,898,419,998,980,
584,950,392,083,819,357,843,576,493,582,005,524,322,735,414,527,760,145,987,
181,578,510,001,122,440,211,644,440,467,406,724,652,219,703,983,377,859,692,
970,105,520,260,981,625,258,336,550,412,480,509,141,193,488,781,025,767,252,
448,977,770,814,807,136,184,131,365,289,515,794,383,820,093,877,129,270,017,
340,930,590,195,333,623,632,623,104,304,274,180,449,894,143,221,441,609,941,
184,129,768,893,229,069,388,081,505,021,113,261,060,464,973,616,370,719,821,
109,495,163,552,484,337,050,454,499,485,522,636,709,119,305,815,867,662,024,
501,880,877,568,826,812,783,130,689,785,246,054,778,303,373,366,049,341,413,
177,528,196,930,419,486,041,747,136,735,846,329,095,594,579,797,461,192,871,
204,615,135,095,941,680,877,111,670,915,888,270,091,632,964,337,398,259,800,
757,173,301,900,319,833,229,493,297,044,441,145,263,937,986,929,759,612,387,
962,999,493,342,533,844,482,069,169,217,254,577,519,847,961,485,685,439,866,
123,829,100,255,745,195,903,462,348,777,062,266,381,276,338,361,627,804,707,
625,649,656,608,431,060,428,296,351,208,881,906,490,541,994,336,371,317,898,
459,248,851,282,360,695,750,476,218,052,740,390,835,242,581,356,426,212,809,
768,332,942,645,324,915,075,425,859,107,046,458,156,719,112,345,408,763,665,
767,418,092,800,573,672,904,338,184,351,093,461,016,348,897,647,457,217,028,
372,595,757,604,410,346,456,309,546,011,765,630,075,429,158,234,544,237,724,
291,636,316,585,603,773,448,206,667,036,955,533,177,645,178,281,873,130,136,
276,224,104,940,952,766,241,419,659,628,380,875,346,742,664,888,270,620,470,
643,139,692,758,872,766,107,162,823,144,082,172,755,630,697,201,578,308,184,
087,658,452,276,232,549,123,295,574,423,439,060,899,005,683,354,432,096,926,
735,876,929,248,127,702,807,790,896,893,423,865,825,280,762,406,361,308,052,
706,950,374,977,455,476,827,795,652,284,451,955,784,552,388,982,215,003,625,
655,605,328,868,439,975,043,448,346,640,835,749,746,351,690,703,123,037,502,
359,427,644,892,635,525,647,821,739,524,443,954,763,955,641,783,508,150,942,
214,320,586,408,551,521,707,962,794,259,044,030,031,406,346,292,320,786,053,
082,769,119,225,209,433,570,468,982,738,978,578,618,493,843,570,637,719,496,
355,613,302,017,378,334,447,960,261,849,801,347,462,665,861,154,837,865,413,
005,000,292,973,581,765,557,564,777,962,925,493,286,640,665,708,036,835,483,
414,410,866,228,783,869,771,890,466,784,146,106,787,630,344,659,922,861,442,
756,669,403,581,889,669,978,143,896,323,841,128,484,795,530,621,995,930,188,
029,402,007,478,291,127,108,991,866,927,119,637,176,844,214,938,820,996,063,
401,229,110,365,301,763,782,274,030,928,602,130,811,370,773,566,389,041,064,
043,869,467,182,828,648,652,260,039,563,513,438,574,172,013,396,716,087,112,
831,383,568,961,899,858,967,299,729,609,752,438,119,164,439,218,288,927,806,
297,101,283,522,604,504,135,047,284,253,544,806,395,941,343,966,485,273,774,
924,087,617,653,781,223,166,241,735,285,583,199,393,790,673,522,410,809,655,
646,456,097,473,772,579,856,373,381,166,375,906,540,292,345,005,675,005,816,
689,917,434,734,818,868,059,485,651,316,607,159,085,901,192,824,762,578,759,
307,746,005,223,433,450,552,761,100,232,885,808,387,458,762,821,925,602,640,
201,795,763,882,002,116,632,212,193,229,301,605,413,835,518,851,253,759,725,
209,355,421,450,289,083,423,983,202,612,406,232,460,750,765,058,152,665,399,
431,907,270,518,819,323,612,579,397,323,619,240,043,341,667,886,290,430,852,
313,185,776,303,693,666,765,531,041,273,834,371,814,861,254,615,770,013,105,
547,700,635,425,745,396,472,331,260,246,391,045,076,277,245,172,294,203,084,
881,103,212,176,401,417,081,629,424,781,221,201,956,101,408,949,057,792,526,
797,964,437,747,413,995,875,342,827,967,007,591,124,555,353,760,661,094,714,
416,681,090,493,847,797,569,360,462,034,340,960,935,544,382,024,708,005,466,
418,152,110,157,606,965,459,793,629,431,291,618,554,309,456,721,550,510,075,
839,575,316,864,654,614,928,068,899,449,459,614,287,127,799,006,914,508,821,
673,608,462,857,217,569,670,966,349,862,212,779,818,929,391,970,662,513,500,
931,877,105,387,883,899,964,824,787,657,432,248,282,239,106,201,577,952,713,
930,447,162,150,146,329,089,674,306,735,950,287,798,169,564,139,795,147,543,
269,077,738,146,581,539,034,732,667,666,737,773,571,274,101,165,188,648,572,
643,438,500,032,950,190,543,173,247,068,983,114,657,474,653,099,521,237,409,
740,358,403,978,818,129,188,281,767,934,991,586,949,235,023,080,740,315,718,
383,762,110,282,587,899,156,951,656,700,192,534,774,665,779,891,188,032,421,
295,924,490,675,759,103,045,335,043,253,227,775,125,221,498,388,831,386,989,
760,732,682,264,032,479,664,348,157,567,287,547,150,832,101,043,682,797,461,
468,095,771,773,077,633,698,340,725,601,114,953,951,071,893,340,503,316,950,
507,201,859,845,159,163,514,982,272,725,126,159,671,829,130,505,203,960,426,
197,344,844,414,169,416,353,242,772,093,771,173,573,311,144,081,769,840,942,
478,560,727,765,807,982,321,043,580,038,017,152,739,122,615,233,111,952,223,
978,413,349,510,317,053,088,809,735,712,131,257,475,724,016,795,284,830,431,
645,147,352,876,890,097,183,597,411,131,133,345,652,865,048,605,306,829,067,
198,846,408,490,387,840,578,078,745,431,478,948,652,375,500,081,362,156,126,
202,114,436,073,153,610,807,869,361,222,999,942,542,123,602,614,429,131,003,
848,464,224,789,741,903,465,097,039,526,988,186,703,256,774,201,506,187,311,
037,620,939,129,842,655,964,083,406,026,905,584,489,976,503,956,814,388,946,
231,986,158,846,384,314,948,702,694,894,132,549,525,910,934,607,777,214,994,
233,788,665,166,240,967,864,539,568,027,908,437,823,905,867,586,933,580,545,
657,415,601,488,755,656,464,224,751,241,369,103,744,562,365,568,509,485,479,
901,794,808,348,456,165,867,637,159,211,491,529,968,310,612,682,795,603,153,
880,153,984,498,725,302,379,528,862,853,270,191,274,148,295,099,513,845,971,
269,460,481,274,616,939,986,372,570,233,636,641,642,895,002,003,175,991,943,
769,162,336,568,990,828,851,579,435,086,679,251,907,522,351,711,631,647,842,
816,380,026,288,157,810,081,075,478,487,831,881,617,275,784,403,364,935,160,
514,000,904,700,294,886,743,262,471,077,660,988,596,272,724,107,751,623,476,
448,714,624,446,597,188,276,432,087,348,862,466,559,837,395,767,140,967,036,
818,813,427,496,877,334,653,522,940,247,274,812,354,510,834,398,387,213,713,
075,308,793,133,489,625,744,834,703,970,369,099,138,622,582,424,770,327,800,
281,217,628,165,318,468,677,368,931,803,925,040,979,922,686,389,012,596,165,
363,609,559,444,098,454,894,039,205,300,223,194,426,018,894,603,484,750,005,
251,605,784,526,709,665,328,165,781,216,752,525,239,898,395,250,868,978,284,
997,192,388,030,016,929,712,137,412,583,500,283,044,032,211,376,610,634,435,
292,138,790,012,765,743,661,780,363,732,989,620,466,462,048,556,437,904,485,
208,556,540,965,352,286,721,364,678,973,044,323,734,447,330,600,375,408,981,
031,033,845,859,480,881,012,981,519,313,596,266,587,163,267,020,113,673,646,
346,903,760,512,209,013,402,426,567,759,993,642,747,774,112,929,973,307,479,
491,742,358,280,651,335,241,457,601,444,210,344,186,915,641,023,152,637,875,
501,835,311,884,116,101,375,806,549,989,652,908,445,679,501,664,231,153,930,
650,593,692,534,985,128,300,048,116,652,980,665,913,126,962,173,466,826,427,
686,224,051,199,050,573,395,512,244,881,287,272,918,894,079,339,973,082,977,
755,920,361,245,696,156,141,338,993,747,626,661,731,203,498,521,514,460,366,
589,219,196,729,208,327,240,213,734,382,525,449,828,068,231,623,881,825,799,
501,245,341,571,464,031,757,627,309,354,363,720,267,477,909,405,429,250,984,
850,661,119,610,323,450,900,995,594,566,250,930,986,565,259,896,258,604,704,
081,252,702,705,001,156,410,793,334,043,434,968,375,605,808,098,415,060,214,
174,369,155,764,204,239,187,501,181,113,553,412,004,932,382,383,763,814,250,
025,774,769,620,509,204,448,644,224,399,336,412,930,191,420,219,463,910,023,
617,885,555,653,509,870,488,894,754,377,872,816,043,713,265,199,502,942,889,
557,584,910,727,777,787,013,609,460,881,787,701,401,267,917,231,299,467,758,
281,314,006,291,381,566,958,739,018,900,212,079,238,771,694,942,085,832,780,
606,571,944,758,985,295,971,646,333,516,085,689,564,465,696,080,589,078,839,
249,703,035,688,181,481,147,829,295,399,168,698,020,819,530,606,569,477,540,
188,588,974,923,216,818,019,441,892,349,363,500,342,360,515,778,369,984,065,
429,187,589,080,299,872,851,511,648,784,376,567,172,312,116,241,892,940,985,
268,036,581,698,707,475,822,877,042,759,736,809,247,113,607,095,271,282,923,
846,098,603,630,128,751,593,324,286,362,064,264,212,000,524,422,396,017,754,
853,209,728,403,246,410,079,947,188,091,922,184,341,451,698,126,243,031,152,
730,688,258,062,735,844,774,716,407,395,900,993,585,559,716,540,927,138,013,
303,498,208,466,849,726,491,619,432,590,611,498,693,586,762,631,648,460,752,
254,651,005,352,446,266,781,282,780,396,009,818,925,306,713,311,779,887,752,
707,097,620,306,495,301,103,717,941,569,584,788,671,590,976,283,837,006,074,
875,959,419,351,165,857,345,115,020,949,561,463,802,034,360,562,177,517,338,
595,515,971,278,312,136,461,582,381,066,087,016,650,243,770,413,831,513,430,
793,852,167,632,908,315,063,203,896,883,566,917,409,092,718,333,533,350,306,
686,037,857,404,862,662,757,028,333,689,757,440,685,394,051,356,321,262,110,
934,380,691,058,320,225,385,310,519,193,529,613,800,360,659,715,843,040,672,
281,099,284,911,728,422,536,760,726,283,809,910,068,965,173,500,501,967,876,
396,032,844,403,775,884,708,672,015,701,265,809,286,284,266,753,733,526,603,
156,755,332,128,567,697,079,823,871,402,023,637,673,746,494,945,930,884,737,
418,492,015,238,595,601,669,676,355,099,974,022,181,892,274,011,294,010,231,
323,187,258,846,427,211,261,392,237,558,800,248,231,352,443,987,955,405,007,
480,804,768,507,848,377,791,379,095,380,289,224,639,095,221,577,921,762,494,
049,022,434,892,874,136,596,900,808,593,946,814,232,192,445,800,690,450,692,
687,668,826,438,556,998,973,341,737,141,170,905,724,601,958,421,133,058,980,
150,873,361,515,827,020,410,562,493,184,794,783,444,856,986,069,510,779,054,
135,262,016,975,001,044,309,139,785,878,294,962,395,052,595,140,613,521,187,
526,994,042,159,809,440,636,934,414,621,396,100,505,852,937,385,247,622,613,
261,514,408,021,202,033,639,704,606,091,402,348,283,802,910,240,689,260,168,
496,811,132,132,563,830,728,194,010,086,898,649,280,814,767,758,646,414,904,
890,666,372,706,531,224,053,725,265,549,170,955,098,051,356,705,266,032,618,
203,309,630,839,605,754,288,342,753,293,340,348,969,064,644,950,435,444,438,
712,246,861,979,428,742,064,155,256,965,447,355,328,720,351,407,726,972,451,
800,566,380,973,724,034,110,794,008,950,301,023,372,395,464,283,716,384,940,
035,279,159,873,174,483,692,554,379,910,087,202,649,697,313,376,800,867,342,
569,894,065,295,556,037,974,373,082,822,660,620,134,701,933,747,471,057,089,
042,720,491,246,478,883,753,831,856,072,873,619,232,699,111,558,861,089,899,
624,638,468,266,283,397,386,504,764,075,030,199,718,784,016,729,890,785,915,
373,146,885,679,475,305,141,534,367,544,412,533,476,425,030,319,782,148,684,
343,025,088,583,809,125,747,173,078,367,123,429,993,283,695,384,163,725,224,
521,252,331,486,644,992,730,085,222,026,467,630,983,888,855,258,288,521,431,
944,340,883,802,846,891,183,856,833,885,093,948,457,870,090,965,454,818,755,
149,342,713,590,889,557,880,003,681,229,813,306,720,876,077,245,963,145,969,
024,974,777,472,534,094,859,261,965,735,441,599,539,946,489,673,618,104,369,
600,808,387,626,307,056,309,475,809,571,779,461,958,955,718,561,471,486,763,
055,309,851,826,845,490,880,344,285,855,957,331,728,655,486,955,396,663,667,
237,942,479,129,343,032,432,797,692,794,146,782,218,228,205,690,243,875,190,
278,361,648,050,602,895,246,171,405,140,462,159,560,174,681,569,709,292,565,
770,430,340,435,925,893,732,969,392,423,419,806,696,720,281,102,069,317,382,
870,848,545,836,288,006,822,222,396,525,322,568,446,527,960,480,492,642,181,
704,845,502,756,797,352,639,743,832,530,224,819,575,747,593,028,257,643,116,
820,599,103,378,133,652,341,387,989,574,571,543,970,741,048,288,191,827,281,
241,597,927,730,586,239,127,241,470,286,203,811,522,662,924,952,415,601,251,
247,567,996,127,589,511,402,173,493,316,091,005,273,545,918,919,222,006,646,
851,500,943,999,817,869,945,356,431,658,631,094,895,454,955,884,821,937,232,
355,102,849,849,753,554,236,193,339,059,256,821,292,378,994,963,435,457,460,
230,814,735,641,898,409,022,335,909,072,030,563,783,971,155,587,896,815,726,
611,902,720,436,244,149,047,467,136,360,136,290,260,708,579,833,638,247,055,
976,872,037,662,228,705,833,078,715,731,306,677,084,942,773,855,256,159,028,
556,921,009,370,202,938,476,382,541,500,311,188,840,281,752,728,116,853,037,
561,043,339,347,390,483,875,945,222,162,474,436,430,233,420,137,280,668,407,
651,921,304,825,447,617,900,140,606,781,184,621,627,426,883,607,336,105,489,
363,551,919,640,130,638,877,428,206,794,045,623,081,230,275,610,355,181,959,
628,698,172,983,974,964,663,089,276,982,868,296,743,456,251,674,902,268,651,
962,510,141,864,055,526,080,614,483,720,742,900,064,206,646,655,046,803,484,
857,955,493,522,706,147,715,057,716,469,647,727,987,166,447,910,857,161,427,
414,727,276,346,028,369,490,435,932,884,296,416,127,818,031,860,239,003,885,
237,810,554,521,628,595,010,147,534,114,064,427,164,572,903,889,325,049,621,
216,491,227,528,419,953,261,298,751,881,172,922,745,531,046,688,321,269,104,
520,211,582,265,293,385,211,349,075,622,803,595,336,363,618,910,388,898,131,
191,698,217,568,671,014,143,171,540,398,351,772,696,868,249,792,038,826,518,
806,143,109,999,954,038,527,767,917,657,666,785,617,868,994,711,085,512,143,
281,687,428,711,880,502,773,929,482,081,251,813,806,554,612,218,727,748,872,
875,191,138,579,311,986,499,334,905,620,862,234,679,188,169,404,370,759,962,
893,995,853,545,985,448,581,762,875,544,772,382,595,453,966,993,824,940,836,
425,517,678,394,978,748,129,976,136,694,529,011,809,352,232,487,713,948,817,
624,625,467,373,385,587,004,815,024,206,828,475,815,168,977,411,365,027,966,
791,833,096,983,985,490,662,085,456,717,223,452,452,523,334,755,666,242,037,
808,044,505,149,394,983,083,759,250,568,265,224,463,663,396,443,704,255,525,
068,295,857,371,765,347,462,180,289,835,718,210,794,869,883,654,225,109,728,
657,887,948,821,180,926,523,791,844,060,592,463,454,099,023,727,001,628,970,
042,124,672,582,682,789,143,672,312,181,656,608,778,271,190,011,756,397,717,
248,110,546,553,900,800,989,132,468,314,050,780,619,131,624,168,698,502,620,
870,720,708,253,261,781,432,115,809,100,860,142,723,189,486,678,276,987,050,
127,347,388,805,647,857,341,742,073,802,128,680,381,145,305,925,096,634,116,
048,101,144,082,447,379,746,651,615,900,775,271,639,998,820,328,036,759,780,
166,209,531,316,499,629,857,581,143,284,340,090,651,804,815,487,005,513,415,
587,409,717,277,079,987,075,401,455,309,610,579,137,901,355,722,590,792,673,
346,951,263,977,091,514,101,055,893,868,435,875,377,859,068,504,462,639,039,
464,014,321,124,415,765,481,691,421,412,367,480,315,793,230,023,523,071,298,
746,918,180,084,896,632,828,121,853,517,598,434,642,495,911,312,044,645,295,
879,034,987,056,493,623,100,650,630,527,306,000,035,677,333,791,404,250,973,
469,227,480,887,434,429,487,661,636,728,582,953,498,336,897,590,309,796,211,
461,613,381,191,506,036,407,977,498,882,555,946,978,032,058,045,361,965,789,
566,022,960,972,494,018,820,346,507,898,333,001,440,421,612,259,734,965,018,
604,451,524,661,098,258,012,346,962,523,265,706,996,778,424,275,924,774,632,
976,895,626,669,351,995,787,485,416,967,111,689,395,580,328,983,155,662,120,
981,545,105,311,225,876,586,682,364,858,681,604,824,821,098,757,508,217,354,
380,787,280,809,681,760,995,257,011,023,967,211,655,488,849,317,246,004,648,
957,223,131,343,576,275,561,692,377,753,014,664,195,807,618,788,731,096,453,
644,723,286,775,265,218,201,391,926,347,946,675,054,843,620,976,267,702,662,
133,382,999,301,467,877,405,303,978,939,823,039,019,632,602,102,437,024,540,
942,815,869,434,047,571,572,785,645,383,849,004,721,161,721,412,364,890,660,
075,986,375,765,296,795,044,495,470,777,655,345,315,149,032,120,722,313,493,
740,224,660,312,928,547,076,563,034,860,023,227,702,108,136,448,966,948,353,
329,743,065,978,322,313,597,715,164,328,457,658,101,413,062,302,687,442,787,
801,003,769,308,955,239,369,104,943,849,756,821,665,189,526,616,601,173,614,
421,237,853,340,648,295,424,496,363,225,336,506,077,665,680,466,801,471,920,
503,649,441,143,515,810,392,514,838,031,831,171,156,095,501,170,644,847,661,
243,836,720,191,726,098,046,226,737,699,486,076,032,975,646,903,776,373,972,
266,719,696,772,279,500,597,951,135,300,202,466,564,773,937,160,798,129,766,
112,741,678,987,934,169,092,754,078,505,189,895,747,223,092,176,753,184,632,
433,057,413,599,312,316,619,775,442,049,929,091,390,356,715,085,448,877,741,
013,809,688,052,055,040,623,006,270,571,065,577,422,071,485,026,817,547,344,
892,549,152,292,971,369,888,195,083,762,271,810,790,651,051,344,259,236,539,
291,075,145,742,267,013,296,445,396,338,109,777,154,774,517,502,008,575,091,
746,910,177,351,360,041,383,721,430,065,803,255,989,154,987,291,201,903,672,
404,615,700,775,519,207,697,448,994,382,439,025,269,631,795,040,796,157,969,
317,258,702,762,191,950,586,786,965,332,236,857,441,649,279,287,129,581,586,
908,071,243,233,546,261,906,691,930,560,171,866,441,855,324,173,774,206,770,
851,817,572,840,631,907,079,507,893,260,303,463,425,114,965,286,050,870,528,
385,725,208,559,458,713,820,443,933,402,779,985,210,559,976,482,726,629,837,
803,255,049,167,702,952,367,849,003,996,177,234,822,920,553,182,661,797,709,
459,353,989,728,219,817,652,267,471,103,052,335,105,060,046,327,598,115,579,
337,704,662,477,031,520,102,466,150,530,648,750,199,064,524,209,602,170,295,
443,385,225,337,467,857,244,721,258,200,202,067,623,397,389,613,563,887,546,
299,574,704,672,021,299,598,991,961,778,908,458,874,948,490,608,552,484,346,
993,146,811,518,711,516,824,954,982,343,917,588,395,190,514,357,547,277,036,
823,567,290,780,006,719,256,839,262,750,009,729,493,025,055,534,082,659,116,
186,575,488,827,989,759,829,797,199,301,492,057,644,318,902,049,488,845,228,
875,672,272,363,994,368,014,568,351,840,683,253,980,214,485,621,601,021,635,
089,262,365,219,849,700,360,997,037,566,882,565,726,051,881,130,403,932,721,
553,550,100,957,098,406,399,843,478,800,532,809,720,478,225,220,679,558,129,
224,918,644,734,298,044,428,464,744,823,267,835,441,238,042,389,643,016,015,
715,536,606,006,942,989,595,718,905,707,312,334,512,753,213,763,421,341,769,
577,467,330,322,158,271,852,750,448,023,609,139,476,071,398,200,121,277,217,
377,752,650,793,866,349,433,898,553,149,070,055,384,725,541,180,060,857,272,
321,631,334,838,430,175,534,071,989,392,907,576,046,746,537,912,209,372,464,
081,725,910,374,099,389,409,179,238,764,900,506,488,061,443,902,123,603,860,
120,361,640,949,728,510,731,113,919,544,049,277,492,538,009,572,373,478,979,
653,991,450,834,482,537,040,375,977,567,783,335,087,065,976,899,406,354,947,
125,424,040,726,829,030,328,797,113,395,245,681,826,099,080,131,581,528,232,
100,513,681,546,864,242,811,114,613,900,988,789,159,877,718,191,272,869,631,
989,164,523,880,627,830,739,710,814,713,397,310,325,242,066,423,688,104,192,
609,009,698,536,461,235,298,541,304,913,052,768,626,418,591,759,501,993,982,
028,944,554,280,007,531,700,961,333,990,093,162,285,254,804,079,602,865,471,
209,234,591,882,347,251,927,097,743,633,446,690,507,743,043,301,988,450,477,
608,946,826,491,111,767,676,355,740,193,002,939,443,691,118,392,960,560,207,
434,052,186,116,898,371,764,622,411,267,044,949,022,290,830,473,913,895,566,
089,339,856,058,232,383,034,974,832,563,431,804,533,759,613,626,046,660,419,
561,082,170,862,077,444,177,037,598,882,205,226,266,852,925,300,199,014,255,
955,080,759,334,896,117,617,684,136,559,929,423,909,399,973,954,493,374,542,
160,689,302,171,304,509,108,827,647,153,962,117,106,859,672,629,622,517,267,
239,744,558,834,751,417,073,009,798,747,387,500,378,641,164,935,565,509,880,
776,802,937,803,475,775,705,659,439,175,804,959,172,908,329,318,951,351,328,
068,125,473,763,197,497,796,273,791,764,634,589,459,809,057,218,384,605,168,
119,106,792,118,875,514,074,242,850,893,167,981,914,249,016,697,619,119,465,
086,380,503,038,162,959,288,868,774,294,692,704,687,183,716,705,395,366,649,
344,054,560,499,500,258,106,584,385,927,450,517,521,084,230,781,317,423,354,
321,817,846,025,385,755,284,890,273,165,300,411,295,464,352,160,874,301,822,
620,009,306,496,659,289,276,062,745,890,320,954,336,002,941,029,808,698,962,
436,434,811,631,031,284,832,508,022,137,077,035,900,238,794,883,520,380,575,
046,343,461,486,583,640,549,435,499,367,366,154,603,525,371,358,683,710,113,
776,871,344,155,701,976,903,564,164,816,707,237,628,185,855,719,800,353,874,
616,743,803,545,272,872,131,142,636,844,847,077,701,020,091,396,465,023,939,
716,983,277,065,479,547,332,038,352,442,618,116,784,988,304,272,052,518,873,
214,733,765,445,771,128,135,357,546,694,054,548,340,882,050,442,717,319,023,
945,562,983,380,922,522,488,311,588,523,132,170,145,497,871,026,545,858,821,
593,026,454,598,928,942,312,636,291,748,298,548,484,428,251,191,091,891,604,
502,234,277,965,875,905,466,264,351,436,984,379,424,827,596,218,938,570,498,
523,659,217,617,944,790,046,384,338,238,185,807,962,819,610,679,726,802,800,
942,129,946,748,684,257,301,223,476,331,767,728,633,019,285,049,145,657,736,
404,393,417,055,523,730,495,877,669,004,306,223,312,764,319,902,924,866,404,
443,951,990,308,631,264,491,215,848,694,406,213,363,282,321,206,262,855,752,
551,438,046,829,669,397,751,410,572,722,428,525,883,836,441,914,985,015,123,
576,531,826,965,549,019,247,368,608,935,819,346,216,154,127,778,229,166,444,
517,300,160,832,947,898,408,263,472,359,065,038,657,514,328,244,980,255,104,
757,501,153,945,775,149,040,757,993,931,071,543,704,303,176,533,493,984,397,
598,545,608,165,189,961,057,814,996,911,415,259,233,410,844,361,197,901,413,
306,047,572,915,111,899,982,000,935,631,370,575,832,215,732,921,232,634,410,
456,014,863,531,102,503,802,157,909,557,546,594,877,882,837,282,857,494,135,
637,391,283,495,207,752,666,134,704,756,301,285,084,059,231,438,759,474,580,
285,638,475,960,528,609,339,782,883,397,181,451,553,373,231,062,340,885,103,
922,738,247,299,298,388,834,770,062,367,876,647,700,944,311,688,225,669,983,
179,496,812,512,429,093,916,806,356,164,102,186,976,092,703,217,051,241,076,
945,073,969,962,801,260,421,986,013,697,212,875,854,474,878,205,324,590,776,
110,666,190,631,595,194,745,510,192,320,762,640,876,813,842,941,860,092,001,
505,585,149,164,620,514,285,988,984,869,965,513,916,514,604,320,905,898,465,
722,129,885,324,587,487,173,907,997,401,023,429,958,188,691,273,721,452,983,
940,732,958,708,977,016,795,584,691,616,587,349,325,811,176,157,675,509,829,
984,007,662,814,587,178,252,864,138,498,312,184,271,779,417,719,885,631,705,
996,198,055,975,394,259,825,072,607,049,198,589,407,007,584,802,305,893,359,
245,650,860,291,039,313,299,818,872,548,732,514,799,265,344,562,991,396,261,
140,602,013,768,765,710,593,195,299,188,941,297,547,835,646,839,284,842,301,
448,859,573,468,647,357,934,186,871,816,094,601,011,135,392,037,552,788,192,
422,807,424,199,751,828,583,437,669,859,901,591,573,034,938,400,717,688,695,
817,786,317,036,068,730,922,616,479,385,951,560,779,256,973,150,334,369,279,
508,919,765,188,517,690,906,368,106,451,001,480,257,582,761,581,975,514,085,
645,182,969,611,944,639,254,908,848,736,873,012,080,219,759,538,485,399,899,
857,518,402,254,356,708,348,610,393,557,875,179,394,527,431,432,628,961,291,
766,287,564,979,050,424,880,534,849,311,820,226,398,799,424,854,126,289,115,
346,683,027,628,803,828,567,813,352,423,265,340,063,431,352,010,066,435,633,
096,363,630,675,374,883,834,255,445,042,723,593,258,322,652,049,347,295,722,
556,940,002,629,107,420,975,144,138,602,650,978,232,469,435,785,793,707,793,
876,234,616,614,486,258,666,104,403,007,358,761,337,152,025,812,910,181,353,
927,136,150,826,484,230,156,523,766,101,953,738,778,854,601,078,213,343,581,
505,163,506,990,870,685,165,941,871,130,444,148,764,020,403,268,910,699,502,
977,298,127,600,055,827,724,370,569,883,636,112,464,219,401,331,279,246,978,
785,416,676,372,093,489,846,314,993,390,272,421,186,119,202,641,088,542,055,
844,813,635,318,238,143,018,438,445,277,795,853,981,669,075,207,897,757,766,
816,094,571,494,149,098,570,258,825,165,228,876,540,504,877,562,709,199,504,
290,174,624,575,075,193,092,810,310,956,566,449,531,192,263,531,245,993,401,
824,531,222,961,692,648,358,445,922,854,864,935,287,630,583,582,849,611,871,
269,267,553,869,298,465,504,991,515,477,270,438,767,456,141,606,164,253,248,
332,527,013,498,579,250,810,722,071,824,655,714,687,026,529,813,924,991,428,
267,490,265,120,460,971,116,997,272,592,422,811,234,222,912,281,407,550,168,
837,162,550,353,099,994,892,037,670,565,605,073,929,309,164,868,355,505,848,
038,836,698,134,892,177,492,154,988,636,356,085,315,574,338,935,458,573,571,
147,470,616,220,826,993,723,520,307,909,544,592,959,346,199,810,595,494,783,
390,651,974,284,840,989,430,318,138,255,553,241,675,670,271,945,110,202,817,
856,482,209,581,982,827,536,227,576,241,030,037,466,542,698,532,262,537,630,
903,326,062,109,875,969,112,981,199,516,430,593,302,368,758,881,334,955,264,
295,533,853,168,580,810,084,858,506,127,056,490,642,675,598,619,506,848,714,
079,772,797,094,540,268,416,049,324,829,347,949,944,037,544,670,339,408,877,
474,176,268,916,099,715,640,450,489,216,730,777,486,493,729,010,398,269,557,
596,005,505,870,641,290,228,620,376,668,359,257,166,105,533,348,980,563,612,
218,643,468,187,287,171,403,061,323,431,684,218,606,647,298,111,777,592,860,
520,387,169,040,604,504,959,763,207,598,790,222,311,413,624,610,394,873,384,
235,121,070,148,183,432,722,445,180,518,085,442,104,469,095,098,896,947,432,
531,414,097,389,113,860,032,190,482,423,412,383,935,268,176,750,354,988,227,
403,186,033,176,744,694,857,214,868,285,987,494,987,871,069,477,493,616,119,
362,679,425,511,454,755,622,541,723,387,428,043,802,232,949,309,312,574,521,
977,525,232,675,050,482,340,887,013,202,397,484,590,412,775,753,852,293,823,
166,812,055,041,379,582,069,160,953,944,933,290,729,215,429,237,619,254,903,
657,512,434,491,665,881,053,927,238,988,548,350,113,757,538,890,899,065,734,
660,405,157,191,342,701,581,868,053,439,970,789,231,630,331,292,290,997,827,
267,462,859,665,803,391,516,807,674,135,506,716,292,239,398,939,688,900,222,
470,705,365,509,523,769,972,374,944,409,168,703,615,337,198,595,924,742,040,
757,889,958,037,362,479,551,189,180,907,210,389,971,338,399,238,479,996,873,
120,800,363,180,792,092,193,208,597,760,215,707,443,972,617,573,309,205,288,
476,170,639,366,448,113,893,409,834,570,951,033,022,818,028,146,419,084,161,
291,550,387,963,164,111,661,540,564,460,770,310,791,862,015,951,683,693,995,
700,964,654,327,919,916,052,755,334,078,181,099,169,990,264,485,401,326,446,
256,632,437,944,056,034,182,669,378,656,434,514,807,590,334,469,974,991,097,
906,359,737,218,894,788,350,509,614,446,780,397,316,600,723,884,288,492,317,
345,277,152,326,809,562,799,907,860,795,015,781,473,743,451,648,784,186,019,
619,869,117,577,598,233,982,407,783,985,033,744,820,521,804,849,832,900,226,
761,139,605,454,969,239,943,356,554,851,938,012,536,786,339,285,705,277,545,
980,329,620,259,057,310,469,454,465,072,847,959,272,840,336,724,022,872,601,
459,398,796,524,455,644,801,380,370,193,141,640,812,326,743,928,337,134,582,
802,412,460,334,506,161,329,731,425,797,277,740,405,250,084,996,874,430,759,
870,634,949,500,201,124,321,471,920,594,068,138,158,783,538,362,587,708,409,
952,924,145,704,405,205,215,655,821,551,897,124,466,853,828,395,173,160,172,
724,876,623,365,672,927,745,807,379,983,693,392,390,350,199,609,314,298,765,
887,726,424,132,954,761,280,363,849,243,687,855,142,841,202,936,623,757,391,
426,601,556,890,656,652,139,135,938,446,708,213,890,495,136,383,441,110,401,
508,200,613,625,062,086,181,751,363,000,236,917,493,756,162,449,776,631,989,
524,338,460,886,000,915,130,264,768,573,199,816,107,059,523,663,610,374,058,
808,892,520,014,395,741,325,835,699,480,563,815,119,584,160,255,148,039,232,
290,018,943,580,685,136,318,385,391,470,639,794,423,355,823,003,049,337,416,
499,972,640,285,885,774,612,456,971,562,772,731,644,333,372,858,490,161,794,
561,705,188,007,913,896,952,669,396,113,846,093,917,178,054,044,815,180,620,
016,229,287,077,305,735,826,046,689,574,885,732,006,189,700,907,372,198,008,
180,530,105,185,361,342,862,702,597,786,244,080,047,279,776,920,217,030,638,
448,056,998,802,162,775,315,043,598,542,390,815,514,975,373,149,440,348,278,
416,756,234,380,660,462,776,165,524,931,686,391,778,170,587,839,768,922,528,
941,158,931,765,467,846,337,451,178,292,237,161,138,547,794,801,838,161,770,
139,704,609,055,294,283,137,116,562,356,988,934,691,653,110,291,544,858,377,
991,057,815,324,692,392,949,214,017,041,858,589,804,584,359,471,961,280,409,
712,822,359,870,063,093,983,712,550,753,346,932,226,012,625,878,342,498,286,
755,928,844,529,907,165,663,891,573,043,033,657,357,816,260,539,211,692,764,
640,737,863,656,593,153,978,331,781,339,018,647,258,835,677,661,989,398,114,
140,492,409,296,692,043,143,425,530,289,315,715,940,670,026,078,051,649,387,
617,830,840,148,638,929,706,159,139,368,988,226,782,326,049,969,935,847,973,
079,696,354,513,836,117,149,033,212,546,733,167,455,401,193,882,003,693,212,
735,389,570,087,137,188,067,604,972,315,091,350,306,247,564,389,816,516,394,
470,002,397,600,649,347,502,490,738,565,394,942,567,581,814,943,045,274,017,
833,651,328,691,421,695,188,994,967,741,192,940,491,911,250,066,692,643,119,
088,294,643,438,470,063,498,046,183,275,991,856,922,746,959,658,231,483,604,
887,517,817,807,352,829,915,753,712,856,844,597,787,773,521,660,041,816,373,
317,019,547,202,387,008,219,116,815,237,652,430,961,191,001,863,140,214,501,
010,089,991,455,443,391,968,697,106,409,810,307,302,201,195,962,633,044,002,
322,762,045,239,265,532,880,375,607,294,876,779,195,550,427,581,797,345,562,
611,000,127,012,221,238,602,107,916,310,506,307,422,446,906,208,925,692,786,
320,009,451,423,697,600,106,246,867,395,543,322,857,037,318,794,313,810,177,
108,064,590,212,428,985,906,616,386,762,931,279,634,955,514,851,788,479,876,
244,346,556,119,367,301,118,636,522,587,946,877,825,436,394,947,340,237,336,
448,862,392,541,538,756,144,011,521,083,706,699,264,716,513,456,052,272,778,
647,182,423,717,377,203,916,725,429,581,618,633,808,954,802,700,088,323,659,
024,185,976,453,281,881,037,717,632,268,787,864,573,696,241,527,574,821,033,
551,373,468,008,523,152,364,876,382,217,806,420,271,666,556,231,455,136,128,
046,411,810,284,461,821,958,524,210,610,144,354,745,749,264,506,061,723,073,
213,311,917,000,809,310,625,039,667,620,475,240,605,855,284,319,279,056,872,
221,823,739,286,303,013,823,021,213,885,900,022,433,749,295,651,882,626,671,
405,520,248,492,956,960,278,437,363,315,773,660,474,861,244,203,140,088,899,
231,828,742,877,562,097,624,691,460,222,225,078,369,413,752,757,399,565,973,
248,283,608,703,719,465,160,761,663,104,037,283,220,780,131,013,210,107,900,
522,474,979,548,448,176,936,876,380,014,958,149,127,710,343,281,907,171,736,
917,373,783,313,765,033,277,633,663,906,476,079,030,593,917,416,298,017,841,
861,665,582,248,422,502,921,307,904,481,794,369,990,446,942,709,631,352,792,
176,554,717,475,265,501,576,156,381,540,267,419,347,392,175,264,897,333,984,
016,679,092,501,063,771,051,836,627,154,175,838,264,413,844,159,720,274,597,
423,447,541,276,307,426,663,872,929,392,842,169,327,898,935,005,502,135,381,
645,451,952,870,704,462,857,484,375,961,215,198,009,065,116,924,827,846,825,
956,876,021,688,817,520,888,375,210,517,140,397,750,787,186,524,928,252,583,
151,797,184,906,012,246,021,769,170,551,688,213,663,798,504,259,683,289,242,
297,983,081,134,163,586,601,932,722,686,787,543,571,540,442,594,116,594,180,
686,854,559,191,193,854,721,504,341,235,349,437,185,764,229,936,221,468,847,
218,235,782,256,310,302,880,323,932,833,939,569,805,471,959,411,977,058,697,
331,563,694,120,203,755,271,819,698,610,468,609,353,204,560,387,117,026,787,
322,089,817,867,183,099,878,935,897,262,737,369,847,937,653,664,610,575,232,
430,353,794,587,497,295,821,143,412,047,636,240,442,084,633,534,235,022,988,
575,145,225,780,149,611,763,552,488,656,022,532,142,938,538,753,307,285,399,
083,991,098,224,469,585,760,635,457,246,714,629,497,666,551,324,755,388,866,
971,096,483,444,670,004,245,240,420,889,883,289,147,899,502,364,433,340,929,
569,826,511,561,433,087,039,749,524,996,594,357,017,116,670,972,399,151,164,
024,629,851,962,594,654,557,405,242,289,621,291,807,111,822,106,737,115,211,
471,043,927,034,807,775,727,827,567,234,993,369,946,752,437,093,946,452,668,
552,038,074,348,871,387,677,106,397,968,917,368,176,157,669,875,336,166,297,
440,347,781,202,670,826,441,521,493,722,349,999,931,548,649,829,213,544,957,
505,987,731,148,009,476,276,584,189,092,105,214,194,061,100,925,532,291,219,
349,668,184,693,344,838,592,880,887,061,472,681,224,796,364,136,623,557,748,
581,554,574,484,345,093,559,709,509,005,195,822,486,901,648,044,318,567,288,
892,317,469,313,982,655,056,380,899,601,489,195,857,131,103,395,858,497,994,
170,616,348,164,812,668,954,924,425,752,711,272,074,552,776,843,661,461,236,
934,950,308,470,888,869,805,595,178,202,046,106,216,215,124,495,665,001,552,
770,586,701,034,689,553,411,391,741,897,116,291,622,581,227,805,864,472,798,
644,381,939,011,122,474,487,249,804,447,485,767,823,397,147,212,059,472,384,
903,111,518,668,363,116,764,366,741,396,090,181,989,080,354,659,331,111,390,
988,503,122,382,193,107,853,337,547,800,115,491,761,103,918,141,993,413,881,
983,171,269,052,665,517,278,506,749,669,199,077,062,490,273,322,193,507,730,
455,441,149,044,094,040,135,833,462,961,162,696,556,816,185,253,406,365,762,
641,008,426,961,055,595,925,259,231,994,999,206,125,690,876,612,646,108,364,
082,662,305,520,372,160,106,885,019,174,928,333,755,963,749,512,591,470,926,
372,501,231,158,955,967,259,183,772,705,205,515,435,013,351,223,413,014,566,
418,610,206,336,956,472,627,579,364,596,129,734,476,297,180,872,945,139,386,
430,576,859,677,171,380,915,443,110,036,439,978,735,307,264,844,847,952,752,
790,773,555,623,403,090,125,575,897,936,583,712,874,004,526,402,677,821,970,
858,052,756,080,569,324,234,633,023,188,145,835,164,939,696,816,193,280,427,
712,392,666,368,851,475,124,024,229,860,842,620,864,120,043,456,645,674,897,
846,507,930,723,186,264,898,007,076,408,820,368,041,717,168,032,933,965,392,
071,188,882,868,124,789,559,959,763,026,988,418,948,208,377,628,190,428,249,
834,748,340,157,676,163,297,014,513,665,562,727,925,747,743,846,181,734,672,
421,302,966,710,815,731,826,660,983,277,784,654,856,101,796,432,934,435,519,
062,720,474,306,712,101,925,405,995,735,588,739,251,871,258,833,877,448,509,
823,732,461,661,276,635,170,755,472,977,839,095,587,337,004,076,665,652,397,
382,818,332,713,996,488,867,016,420,783,671,903,704,825,687,275,109,946,935,
962,469,268,425,697,887,687,711,197,711,657,935,717,211,254,687,209,579,767,
327,385,515,203,972,341,887,885,148,237,365,585,386,986,088,670,141,163,442,
162,933,650,726,983,993,690,720,380,932,919,641,008,090,414,377,844,651,256,
138,176,490,810,841,693,222,180,390,390,711,077,152,754,571,996,199,590,006,
506,433,147,117,662,124,307,258,102,975,943,908,759,813,720,931,226,717,572,
548,601,568,789,708,786,471,253,244,224,264,042,912,185,637,825,806,110,505,
885,679,284,986,770,917,355,854,844,151,812,377,376,050,443,182,228,769,161,
828,473,730,172,782,084,942,735,736,943,649,574,078,603,706,977,328,965,004,
470,764,749,168,840,578,076,570,943,288,697,970,455,358,702,165,895,153,256,
459,808,936,405,963,209,645,836,467,770,435,913,087,560,104,705,269,592,867,
556,663,550,861,674,512,394,885,970,222,159,978,138,722,880,290,453,535,847,
268,758,830,880,565,665,696,223,339,690,833,311,430,018,991,200,788,635,072,
194,076,999,796,931,195,492,649,168,038,517,007,611,458,506,082,361,263,874,
142,916,699,940,349,035,105,607,349,096,031,737,302,743,061,040,605,282,073,
090,943,962,486,917,296,693,219,270,845,907,068,679,448,738,238,929,820,229,
064,710,808,924,852,348,516,951,435,008,354,388,140,669,254,387,428,190,757,
941,645,538,584,032,659,583,548,831,028,933,628,535,920,702,749,253,638,519,
756,455,344,818,328,450,192,942,405,841,188,324,677,883,087,818,665,470,585,
860,648,037,397,304,572,747,347,818,762,534,869,857,646,452,536,263,638,713,
844,691,576,131,184,445,632,712,460,409,029,851,617,804,464,564,876,174,695,
946,308,385,642,121,116,810,405,747,966,136,937,261,964,080,328,275,097,303,
718,583,713,085,473,319,147,295,471,455,729,579,994,683,071,727,063,166,192,
677,843,834,252,208,601,528,730,049,384,472,756,038,691,923,575,725,282,704,
426,741,568,812,050,109,513,459,503,252,137,882,442,593,752,475,486,421,581,
325,396,721,755,089,139,029,723,660,790,802,482,044,350,118,558,694,327,541,
684,994,690,532,141,448,086,536,657,147,093,326,289,443,967,844,372,822,332,
255,240,046,478,141,866,807,409,070,295,849,217,507,633,447,357,156,883,598,
339,701,739,265,461,428,533,240,377,092,899,385,787,351,436,631,124,982,482,
148,267,446,914,832,165,707,738,987,178,782,393,183,586,388,493,028,793,221,
847,107,320,660,277,801,057,475,098,515,315,574,084,504,641,567,955,288,483,
246,804,408,875,913,989,798,444,363,118,258,976,175,715,093,342,787,593,014,
566,412,147,902,811,036,843,976,768,196,175,931,993,986,146,828,964,906,148,
745,306,202,476,107,175,539,257,916,354,340,484,153,036,071,643,309,981,443,
701,768,383,608,258,906,144,010,570,446,379,724,526,859,365,258,898,909,837,
168,250,619,217,987,513,227,421,238,461,332,691,239,898,903,869,949,590,352,
720,392,558,463,344,500,413,588,934,659,922,611,697,408,540,368,623,225,324,
420,735,558,146,301,680,173,915,655,690,074,143,703,024,432,778,114,485,678,
177,131,338,911,506,805,156,654,180,239,936,654,733,773,566,422,989,049,788,
290,712,361,586,925,915,453,290,369,980,343,650,777,932,617,561,726,200,411,
838,321,158,223,787,013,826,092,759,014,419,385,521,371,813,730,050,861,696,
602,908,343,663,471,079,302,254,252,100,771,732,942,367,631,211,595,098,689,
474,782,046,798,089,182,050,076,257,044,501,579,585,407,120,463,105,180,164,
133,485,177,250,432,477,441,046,951,668,915,066,301,582,596,173,412,162,071,
498,832,722,512,635,896,487,171,537,820,798,043,582,131,317,996,509,265,770,
774,252,603,050,576,763,029,230,279,684,814,424,664,500,781,919,528,571,825,
334,559,969,926,043,721,847,130,615,212,674,779,904,148,017,659,305,521,023,
217,128,889,171,090,384,944,599,757,591,983,579,177,506,076,284,129,402,850,
768,898,906,935,928,862,912,308,778,027,089,781,494,855,133,882,234,435,260,
586,752,080,889,605,717,359,140,254,211,739,791,191,310,439,511,466,611,211,
194,112,719,504,690,450,782,023,965,004,520,596,423,595,715,098,590,748,159,
504,324,184,386,391,682,122,648,738,372,890,791,469,816,371,926,941,021,180,
247,931,241,426,538,806,554,272,675,458,808,074,033,705,148,737,051,225,509,
506,691,386,239,478,835,993,678,592,815,494,641,673,775,195,399,855,919,670,
422,684,435,575,013,663,885,989,460,635,160,016,436,060,694,878,747,616,627,
338,253,240,464,625,657,087,834,164,969,899,887,632,001,136,427,573,840,930,
520,073,872,928,827,425,837,238,311,500,707,612,247,091,055,870,761,225,367,
321,223,186,617,830,174,321,973,568,616,559,433,490,478,951,728,504,325,683,
806,411,025,567,200,597,859,910,547,613,488,361,056,219,924,822,833,461,645,
242,419,312,548,138,406,619,585,546,545,610,018,274,457,042,429,002,027,158,
554,391,198,630,347,078,247,547,169,401,560,115,292,012,950,378,808,260,249,
241,836,727,005,498,564,430,833,758,255,625,790,403,738,221,428,482,259,958,
261,137,898,117,180,047,099,401,033,891,732,091,617,494,474,007,576,434,633,
118,178,428,961,349,890,210,671,030,469,433,351,860,915,988,495,705,447,679,
380,429,756,311,981,375,249,628,849,454,806,130,866,669,988,758,399,286,493,
841,156,585,513,153,642,296,492,142,027,738,857,164,829,321,111,715,818,095,
390,931,046,546,525,721,247,985,394,085,979,909,876,866,741,812,864,808,416,
364,406,182,181,191,273,310,183,142,008,641,569,367,411,325,400,403,152,207,
033,182,430,000,805,659,014,140,844,463,026,506,397,718,188,185,706,847,554,
221,426,105,486,568,571,271,853,958,002,559,112,062,057,230,503,745,462,153,
957,278,917,816,291,036,335,800,172,266,153,079,061,591,526,977,071,276,770,
961,748,851,251,111,042,559,519,559,452,504,378,833,527,300,845,189,900,909,
897,247,687,768,204,994,629,208,200,220,696,622,765,570,404,595,321,959,228,
063,966,108,307,778,945,913,520,042,191,790,022,757,937,700,798,467,535,983,
406,571,247,953,676,108,057,818,570,403,380,236,859,453,520,632,215,820,665,
454,736,756,384,971,466,992,220,393,290,488,954,515,951,186,116,530,714,177,
327,541,598,018,040,001,977,888,284,120,175,848,086,194,035,034,878,876,519,
123,293,174,323,338,840,108,073,641,530,624,207,078,315,233,423,530,262,948,
550,074,722,905,401,399,478,346,544,358,068,655,422,251,484,193,749,648,355,
804,579,168,785,549,820,902,563,749,501,364,179,632,462,902,706,763,411,675,
124,747,592,635,491,472,194,665,604,547,470,250,485,639,041,656,953,320,547,
951,282,907,325,291,323,921,587,204,249,949,820,731,506,913,753,726,291,639,
940,291,416,916,124,827,335,173,266,440,794,344,257,897,050,467,685,579,216,
925,235,227,895,883,602,797,806,455,737,236,168,164,672,939,318,140,044,927,
828,567,353,631,748,792,315,733,356,961,607,753,892,023,070,452,576,366,057,
837,102,405,166,006,629,483,702,794,987,520,964,780,454,341,399,060,570,614,
329,293,530,501,478,735,737,413,580,583,316,710,016,578,997,710,763,931,707,
597,053,992,140,800,614,120,170,351,278,737,839,233,340,191,921,255,931,090,
677,884,938,851,404,176,142,431,317,943,615,598,203,502,974,746,584,192,409,
123,094,740,939,697,820,403,991,540,569,202,542,480,700,756,799,962,776,378,
695,860,482,581,318,734,882,132,797,425,842,654,062,750,876,656,873,285,738,
819,589,057,234,539,068,470,335,021,131,033,007,606,777,594,611,129,474,998,
515,807,695,528,960,455,241,501,855,651,373,902,831,045,248,096,925,715,272,
243,933,830,058,118,989,918,846,491,981,304,474,186,884,440,151,298,877,672,
874,875,842,073,245,484,444,942,603,717,962,405,570,443,684,085,560,295,261,
240,932,618,326,427,969,901,163,800,929,051,868,946,295,944,952,662,220,337,
168,405,248,199,796,947,420,580,618,339,602,370,133,878,277,808,763,284,613,
124,891,860,031,505,155,020,255,313,745,365,602,918,066,348,227,908,032,757,
463,684,008,891,740,928,976,049,618,425,540,002,466,850,326,584,467,978,764,
166,272,873,827,964,551,219,586,589,217,755,264,091,327,791,497,925,350,014,
934,622,085,957,727,531,400,227,589,409,065,072,697,284,143,383,321,317,471,
997,857,462,323,646,507,201,849,591,675,772,604,092,970,559,129,806,093,006,
137,937,596,952,024,808,694,940,653,599,031,853,014,616,237,850,000,505,802,
597,051,441,030,869,699,252,248,730,353,944,156,830,603,001,378,506,507,659,
528,475,328,715,543,525,248,616,865,571,746,300,478,784,337,964,927,326,380,
754,707,741,171,832,174,410,524,691,576,461,982,359,752,337,744,028,236,856,
481,350,167,411,198,853,763,293,186,599,369,153,557,748,759,628,477,017,340,
590,733,235,070,222,602,475,453,658,554,381,079,183,763,575,410,563,205,745,
938,438,841,715,405,272,339,826,869,639,053,070,275,053,194,702,002,384,995,
119,301,113,388,886,123,962,068,966,736,574,422,286,810,196,913,724,905,419,
638,199,488,860,503,999,741,976,653,747,494,073,655,532,127,540,350,794,114,
429,035,229,825,274,850,893,292,599,469,249,406,153,252,931,345,599,472,150,
108,779,343,387,017,390,943,401,678,926,099,773,659,727,525,931,066,856,029,
960,719,527,613,900,184,668,687,531,533,824,447,395,842,215,301,937,645,912,
721,455,833,550,494,486,848,805,355,158,719,604,994,655,765,835,493,687,731,
766,953,202,832,221,811,362,098,207,466,177,962,065,642,901,015,934,834,277,
157,762,484,851,837,799,665,887,899,414,548,640,021,335,873,868,409,357,908,
117,452,093,938,046,519,852,303,767,414,766,833,895,538,236,801,240,924,129,
940,400,888,598,692,882,755,161,079,146,686,300,483,562,485,985,615,669,904,
320,036,141,072,183,713,813,103,164,665,498,860,808,599,169,460,512,461,768,
709,462,630,087,875,661,646,626,695,721,774,564,277,407,277,835,760,906,504,
754,789,187,020,249,414,194,364,523,242,912,396,656,739,510,536,291,135,849,
422,864,637,124,688,185,034,352,286,501,451,000,504,520,438,137,265,417,953,
914,759,669,516,005,359,801,949,520,152,813,133,072,040,071,924,289,543,487,
904,487,112,190,762,062,466,653,535,653,393,684,926,841,285,715,654,285,632,
354,495,079,883,615,111,750,903,058,844,629,697,511,492,443,770,783,071,218,
536,830,264,825,209,569,376,947,349,693,097,251,254,198,360,274,698,413,989,
588,721,580,593,276,283,320,061,547,728,372,622,030,215,573,148,273,682,320,
474,235,666,157,248,703,210,601,510,286,979,293,299,767,068,474,298,952,306,
545,838,810,803,266,653,604,894,595,157,785,156,335,500,052,908,632,099,475,
575,536,085,396,714,597,841,323,262,174,617,689,575,450,325,688,363,856,257,
779,725,507,803,483,202,792,414,999,642,396,021,456,610,550,749,757,940,190,
190,134,604,928,031,154,690,585,045,695,937,926,313,325,655,200,249,388,594,
993,686,477,703,001,692,040,311,826,877,479,275,168,475,046,967,664,060,762,
700,167,260,480,848,096,317,835,825,862,590,236,181,734,259,510,743,759,379,
678,616,087,402,716,303,639,977,797,450,986,161,936,373,928,842,274,770,500,
385,185,383,406,072,468,852,573,397,551,593,324,180,227,285,614,089,332,969,
975,048,546,957,088,033,721,535,945,619,571,247,854,931,184,028,737,481,747,
470,425,483,488,066,755,749,732,952,397,111,853,062,080,255,447,781,261,752,
440,367,906,267,190,874,311,869,073,432,301,004,163,909,911,762,910,135,679,
528,328,825,204,389,228,604,411,195,794,315,942,240,924,525,824,081,887,291,
878,155,323,043,315,229,015,215,134,005,890,367,413,710,498,242,932,967,158,
127,485,868,874,943,405,108,752,782,187,235,564,488,476,026,754,115,426,777,
690,287,999,913,897,525,930,022,472,739,962,788,897,544,233,940,136,840,489,
544,300,786,186,148,819,464,527,446,658,272,574,458,977,874,836,907,176,927,
110,825,118,811,156,344,839,840,145,555,433,029,988,200,576,644,262,181,325,
215,208,928,006,625,503,448,716,895,782,223,668,846,193,437,987,008,401,582,
707,445,826,022,367,555,049,654,227,063,224,118,206,908,426,392,126,533,714,
892,941,204,787,193,125,563,431,127,219,005,038,177,839,047,917,922,995,417,
477,045,332,293,146,800,971,911,845,549,776,628,808,201,164,571,909,013,247,
795,913,124,812,576,918,876,407,644,810,894,075,144,014,265,224,976,580,571,
951,065,558,598,971,798,745,780,364,477,821,272,331,495,809,635,972,319,757,
927,874,072,756,991,423,322,899,124,031,997,058,092,101,447,907,485,069,397,
439,290,389,797,340,838,981,304,207,805,974,868,355,052,845,871,585,001,703,
383,468,858,694,305,329,221,694,004,462,761,263,020,105,399,601,885,403,816,
157,867,561,853,406,746,870,988,448,484,070,894,389,421,598,852,869,667,102,
761,869,137,949,281,211,257,617,662,586,730,053,063,808,182,909,924,752,881,
648,759,097,866,810,179,267,991,012,387,186,637,644,126,956,469,674,320,581,
772,224,779,767,632,656,598,139,151,303,141,422,777,715,210,370,435,025,630,
392,857,488,441,352,834,378,826,463,878,568,566,944,741,791,294,767,966,212,
663,837,887,725,783,898,173,152,831,219,181,806,513,994,417,331,042,654,588,
051,659,915,426,441,536,822,045,262,267,764,920,257,907,911,567,625,957,560,
417,765,923,816,190,364,632,692,004,364,007,743,988,051,710,032,149,723,940,
306,811,515,201,185,710,794,643,563,049,814,885,068,859,417,032,895,821,374,
555,271,137,539,806,757,391,516,153,609,736,927,747,074,951,578,038,646,494,
218,044,690,850,273,329,002,673,749,137,946,444,839,611,423,225,384,920,124,
768,350,105,092,101,662,314,558,339,418,281,286,008,060,862,450,673,475,399,
265,012,711,702,297,291,283,745,779,041,631,521,204,990,549,385,353,129,287,
623,496,630,657,030,303,598,063,620,651,788,207,505,295,027,358,213,333,916,
811,389,662,888,995,373,484,027,130,235,661,476,016,776,930,407,428,780,464,
840,671,716,974,841,360,114,054,615,079,384,821,936,673,914,576,515,442,914,
454,486,133,037,592,158,832,648,248,042,237,019,580,309,904,289,402,128,064,
216,761,620,659,167,026,748,909,288,165,434,371,817,895,485,413,217,818,609,
462,374,795,561,460,334,192,725,260,522,100,160,650,762,408,932,716,201,475,
969,821,722,541,867,274,749,991,994,951,410,407,157,867,402,899,798,413,751,
245,014,999,082,972,234,763,175,273,180,063,709,323,608,840,003,164,601,520,
175,766,595,107,046,131,004,781,359,821,451,010,323,336,798,880,750,289,407,
455,929,895,063,856,203,536,717,681,347,955,183,158,875,434,221,152,744,723,
394,603,661,264,344,288,070,473,695,698,547,385,490,245,461,855,769,092,891,
927,614,654,580,140,825,526,781,489,870,323,479,730,050,559,109,078,264,637,
169,979,211,473,247,715,264,672,543,768,163,050,902,048,110,556,286,208,384,
190,419,458,815,562,291,282,918,696,623,518,819,867,950,574,000,799,464,421,
110,371,115,482,291,845,413,357,597,449,321,245,150,929,221,697,449,241,457,
214,630,630,126,164,737,312,614,550,360,300,152,346,911,404,397,353,671,849,
185,689,806,993,549,189,038,045,026,165,716,341,279,392,073,260,926,663,223,
877,540,086,424,946,422,042,967,374,347,289,173,024,121,337,447,888,634,887,
429,845,691,214,582,366,984,800,069,506,509,158,826,044,448,537,733,674,141,
976,564,330,029,786,403,579,875,631,510,241,317,501,964,809,765,439,981,120,
777,705,797,809,018,990,918,054,818,274,312,529,784,841,027,122,655,097,783,
662,620,294,455,547,176,814,095,043,732,130,439,707,554,821,520,496,921,395,
315,219,352,825,398,698,879,981,324,323,154,954,744,366,843,737,074,808,621,
117,416,418,913,673,451,503,317,714,435,897,024,004,633,209,401,766,723,957,
092,143,578,318,444,700,810,233,328,607,182,383,483,636,349,256,853,397,206,
618,078,486,944,199,745,626,496,097,483,080,963,329,202,918,976,023,211,872,
656,301,336,226,223,768,770,206,445,823,753,949,425,869,360,617,825,336,850,
494,460,858,969,412,695,860,852,639,144,749,192,905,242,281,444,305,419,843,
345,983,466,605,011,722,870,066,050,812,395,609,004,365,926,522,143,287,833,
226,883,782,962,234,874,752,562,217,898,914,344,118,695,859,095,813,039,953,
521,642,829,355,255,674,148,517,708,760,791,589,923,872,934,867,133,829,559,
877,319,374,073,369,563,054,797,493,903,623,113,285,526,380,776,954,343,028,
320,772,784,684,278,447,711,772,809,868,679,775,095,678,192,567,720,367,405,
750,147,890,109,291,528,198,309,170,446,065,806,002,836,721,516,999,148,762,
497,006,735,119,270,127,348,891,403,410,046,472,023,906,193,248,032,777,939,
840,034,756,177,916,305,764,014,286,317,552,617,405,008,416,999,828,852,503,
952,692,299,915,528,121,100,618,570,656,268,977,244,131,714,285,052,992,418,
579,775,081,025,002,670,508,363,880,300,329,270,520,247,861,641,304,712,108,
827,006,013,023,998,286,791,436,154,682,360,120,107,995,888,262,335,942,995,
953,047,197,856,824,722,460,975,588,593,463,160,934,239,656,378,497,526,442,
264,364,484,142,769,283,904,500,072,793,463,921,721,995,375,856,238,149,855,
367,470,212,225,779,503,818,949,332,458,311,078,506,190,332,353,944,460,182,
967,329,676,689,142,169,573,148,302,049,169,211,652,366,208,071,996,236,094,
805,347,501,587,766,756,205,454,204,714,689,423,404,276,244,339,222,708,458,
043,750,270,552,227,552,422,762,788,988,784,728,654,100,206,576,133,804,943,
594,117,543,210,124,704,178,727,423,750,144,774,833,233,094,373,251,318,985,
577,267,327,212,797,407,152,677,210,808,607,039,440,157,167,027,760,518,144,
085,572,391,959,666,643,160,131,466,815,374,264,059,200,948,763,095,691,438,
435,238,846,713,307,559,622,187,751,363,925,650,412,426,369,140,805,736,752,
903,444,175,986,799,333,826,960,869,179,056,693,180,861,211,342,017,421,505,
823,321,003,706,044,804,137,680,925,901,883,731,955,685,110,115,122,963,574,
068,519,554,804,508,922,030,391,543,897,412,914,053,055,194,156,653,125,911,
226,113,284,191,947,268,862,093,462,692,211,148,044,143,456,399,654,254,623,
569,941,984,593,236,009,795,405,561,392,026,843,493,989,408,001,717,888,798,
360,849,542,161,413,088,397,276,890,286,841,192,837,854,259,459,758,205,106,
819,885,962,692,963,095,801,142,793,611,015,193,457,197,619,472,261,657,995,
849,201,462,334,791,873,857,116,006,609,696,502,878,931,422,457,600,511,264,
417,022,979,496,525,133,199,424,406,597,251,109,239,719,106,808,788,160,489,
076,663,142,986,440,727,662,651,365,788,420,787,821,315,308,570,863,731,657,
736,824,229,686,930,049,890,206,948,583,435,578,701,690,002,202,133,349,440,
569,508,081,831,401,406,078,033,957,886,881,313,090,047,880,202,806,829,389,
811,446,143,129,819,795,115,855,335,941,281,970,736,587,600,040,090,331,506,
396,500,434,866,768,143,250,914,251,742,175,515,525,210,329,048,032,197,265,
126,509,698,549,538,067,023,487,014,603,430,393,708,019,998,814,698,350,720,
522,007,185,348,083,843,126,482,896,570,702,581,319,949,366,831,534,732,847,
656,812,884,202,485,617,300,678,859,244,405,031,560,408,103,144,171,271,972,
767,237,294,533,937,312,788,302,494,067,257,084,065,963,794,736,414,366,540,
993,956,848,620,636,320,751,351,089,884,984,410,178,661,918,317,200,206,704,
280,877,327,406,778,113,873,338,311,367,385,672,119,916,923,381,295,745,333,
578,325,084,388,014,322,544,336,275,358,590,751,247,002,757,788,947,792,364,
738,537,140,033,673,632,971,056,889,066,372,450,583,196,658,605,172,983,984,
409,770,669,064,858,866,422,638,850,792,653,473,630,804,556,183,407,874,413,
496,674,054,590,411,426,407,521,909,142,039,883,380,579,263,249,018,838,281,
592,817,299,319,753,919,938,412,982,694,554,597,637,454,077,197,624,054,124,
272,776,044,404,600,061,402,723,750,433,328,740,305,987,797,397,794,546,463,
452,193,634,195,659,380,299,094,475,267,398,096,654,409,866,361,977,266,238,
047,683,013,555,975,672,900,889,733,393,498,352,762,780,588,985,529,908,712,
007,018,324,128,798,146,091,110,674,504,002,773,925,325,652,739,399,156,912,
881,899,444,875,385,596,368,136,502,014,426,566,631,753,403,356,816,719,207,
593,699,032,595,996,438,554,281,924,324,664,986,055,351,744,277,206,090,662,
621,458,842,457,948,983,550,513,324,449,034,782,976,492,792,919,078,768,411,
636,909,143,306,006,570,407,145,181,282,613,777,706,523,037,322,028,117,065,
252,638,998,591,214,793,350,543,382,310,649,088,251,829,917,400,935,130,628,
425,452,208,624,390,626,095,436,942,863,265,683,362,440,936,378,584,196,431,
013,316,288,608,818,973,227,671,467,901,274,104,704,438,165,899,516,489,767,
150,631,711,407,599,146,834,860,117,300,449,065,281,323,701,397,028,600,015,
103,920,536,079,723,159,523,641,345,544,995,852,007,881,117,754,798,847,154,
965,263,359,710,068,387,811,399,066,805,584,347,618,332,170,009,528,684,708,
276,305,882,139,066,548,794,201,279,517,389,928,893,431,629,190,528,826,964,
201,804,803,512,426,051,754,260,681,139,645,165,468,947,271,669,239,609,439,
969,126,376,715,088,132,000,825,344,934,096,623,176,605,243,265,574,324,457,
729,015,146,983,477,946,735,309,556,228,446,859,369,706,026,900,013,802,498,
182,516,358,831,541,564,595,230,952,971,132,956,589,069,862,951,175,912,738,
151,506,477,347,725,397,336,201,448,264,542,753,506,636,758,367,157,770,500,
860,842,948,165,393,319,829,892,635,728,044,482,740,885,652,346,931,924,795,
839,494,086,461,222,724,253,152,090,461,247,430,926,140,729,513,033,921,642,
419,852,168,964,160,594,075,339,675,835,939,460,980,423,335,585,939,932,447,
177,287,617,370,527,909,056,289,015,185,813,623,631,347,572,195,687,091,788,
826,008,402,212,596,073,140,990,949,131,806,126,067,255,003,924,937,310,980,
020,566,312,875,783,593,470,982,130,627,278,134,556,939,936,836,218,716,192,
249,541,671,521,362,228,290,846,987,582,554,759,338,010,335,607,160,401,886,
376,441,381,080,368,022,354,144,153,513,336,352,414,918,112,278,376,130,429,
536,762,930,179,251,853,380,383,237,014,537,997,416,981,658,814,300,946,784,
366,677,964,907,252,188,905,514,013,099,803,101,628,550,315,474,659,734,486,
987,839,625,440,895,495,562,545,639,788,452,951,497,440,128,215,192,686,260,
638,080,376,268,208,048,261,718,329,685,979,588,954,208,714,140,246,809,488,
028,890,987,917,001,825,847,240,531,331,033,125,761,988,549,334,285,895,368,
632,528,120,153,104,613,517,034,315,479,093,447,219,436,427,621,461,843,561,
726,297,173,415,945,415,117,921,198,324,350,025,436,915,922,769,935,253,788,
941,922,503,267,988,821,323,460,396,593,788,242,394,180,000,312,671,225,700,
040,729,165,794,350,430,948,634,972,841,890,017,659,742,036,671,351,371,104,
578,477,416,765,014,847,786,407,988,299,004,263,455,382,642,804,930,387,464,
293,561,978,094,679,922,544,994,359,765,530,403,059,737,240,295,871,850,642,
277,970,763,051,434,423,478,036,146,148,201,383,329,821,125,950,295,319,211,
832,235,021,687,972,244,287,629,584,997,373,046,812,621,636,129,370,415,569,
904,837,605,028,501,213,305,980,910,079,265,136,649,650,813,361,947,834,136,
096,576,794,253,833,795,454,341,405,623,220,552,738,198,761,648,638,862,271,
137,940,020,743,821,544,306,755,114,821,160,024,752,153,855,166,624,095,998,
099,210,598,340,674,251,044,707,027,090,580,987,539,200,350,859,045,936,029,
869,643,902,175,400,397,918,464,862,086,645,712,399,949,455,474,339,603,705,
392,645,598,801,635,804,568,838,013,534,902,254,849,466,093,218,248,725,182,
707,623,172,774,025,545,749,728,980,820,565,685,442,773,339,783,556,902,093,
597,054,239,330,984,607,678,701,330,489,684,811,234,093,879,634,549,819,349,
563,215,806,791,909,130,643,321,022,461,309,955,173,926,666,639,595,149,494,
919,348,960,915,495,128,662,274,226,939,503,659,039,903,813,553,474,019,330,
182,609,469,992,574,262,156,433,129,673,039,289,409,308,147,707,971,202,450,
527,794,437,195,065,699,023,822,232,245,453,847,875,505,305,474,136,573,760,
870,030,802,614,357,106,669,200,289,768,959,407,499,356,974,631,902,990,708,
644,777,141,837,949,789,428,380,474,599,739,530,152,968,238,156,224,266,292,
976,106,781,612,358,722,522,677,557,865,764,435,687,695,891,879,094,816,334,
390,748,409,616,287,386,744,066,499,557,361,370,688,311,380,344,509,537,914,
755,351,036,314,549,434,755,188,671,257,784,631,511,689,641,021,161,554,516,
469,675,109,118,483,651,199,963,812,507,825,952,047,893,538,818,020,599,095,
652,389,345,071,224,578,457,313,904,215,855,215,372,208,499,612,913,320,175,
781,949,983,241,621,016,565,122,648,331,222,496,237,437,717,918,563,017,490,
058,990,420,701,369,431,836,640,854,804,841,348,400,109,179,927,435,595,820,
939,251,820,229,387,254,601,934,577,456,037,842,091,035,184,738,251,535,599,
264,171,246,411,427,426,525,401,398,312,341,904,916,842,166,205,615,769,576,
301,135,934,508,097,329,464,226,426,446,615,521,306,312,365,312,317,428,327,
739,500,472,115,481,234,056,711,977,426,363,577,989,380,946,970,542,557,267,
134,033,843,148,140,972,869,656,662,355,601,425,975,739,922,538,021,786,043,
243,865,991,580,696,121,071,273,844,014,215,140,901,842,942,841,048,514,148,
435,526,372,890,655,342,347,662,497,963,601,155,988,655,223,457,660,813,477,
627,026,999,714,866,349,693,540,704,252,311,436,576,401,483,972,088,948,313,
395,593,889,595,147,151,463,203,035,342,678,162,228,034,187,582,686,756,246,
662,240,147,406,494,558,618,774,305,751,136,974,888,110,435,094,710,865,175,
993,786,061,426,356,539,990,440,877,197,383,131,532,088,447,233,135,591,979,
921,341,497,636,922,463,075,803,202,678,228,868,879,225,546,170,019,990,618,
627,622,853,079,528,278,694,520,916,334,101,473,206,052,485,367,888,597,583,
670,853,774,132,308,970,471,001,073,372,547,145,956,424,684,607,016,265,646,
456,905,492,738,348,132,637,263,665,809,809,569,416,554,390,056,115,773,157,
521,343,322,608,836,343,973,467,154,247,635,324,722,258,309,204,499,460,992,
349,311,279,117,456,227,015,783,417,205,776,751,619,786,649,736,242,177,274,
324,303,467,622,403,157,200,403,033,160,152,746,620,254,854,714,705,150,787,
795,328,408,811,244,134,505,354,082,237,520,915,054,648,409,961,945,361,519,
061,166,779,006,150,063,979,573,021,378,994,184,289,558,502,527,800,092,729,
590,907,809,980,746,494,435,804,456,791,099,260,785,978,148,269,810,421,329,
779,008,036,339,048,830,550,326,315,732,988,646,037,608,745,446,873,724,988,
462,520,913,668,290,073,846,637,203,692,547,808,270,359,684,157,840,672,927,
405,029,047,776,863,557,938,354,160,819,837,208,186,692,910,531,001,215,234,
156,469,113,709,225,473,585,812,546,309,451,257,869,501,979,785,246,736,439,
046,290,627,493,952,758,318,923,213,641,171,402,077,323,158,687,141,146,096,
571,939,908,026,939,247,174,883,276,351,338,926,192,341,935,036,244,548,352,
884,658,647,857,010,346,806,528,309,126,041,394,442,240,263,473,047,202,801,
809,320,316,656,182,727,932,869,875,427,019,601,266,206,485,806,040,465,986,
739,636,327,574,880,831,350,563,150,340,516,456,773,118,367,124,440,039,468,
353,048,441,627,975,707,609,847,215,530,173,693,750,146,017,732,895,246,929,
835,629,120,543,429,960,591,731,365,354,803,574,314,462,240,550,730,940,794,
082,168,854,985,487,539,165,234,123,674,542,574,072,378,755,031,730,613,345,
285,155,008,565,176,548,491,079,286,512,316,299,719,783,331,522,869,323,180,
024,172,918,370,717,969,987,286,639,267,129,372,617,556,992,980,260,518,429,
837,057,669,635,251,457,027,564,842,355,468,548,213,907,135,681,599,892,121,
766,209,413,092,389,857,258,868,507,991,684,641,511,705,334,838,844,319,804,
176,322,641,023,529,707,145,047,793,578,132,982,500,582,565,146,017,936,983,
191,480,385,004,916,581,668,561,715,594,349,819,684,169,589,563,698,145,371,
623,624,005,363,366,661,949,729,315,469,671,979,137,302,168,113,312,842,515,
613,003,774,225,788,188,961,608,876,348,401,501,673,722,777,973,685,602,349,
541,227,859,579,462,355,311,728,139,421,552,350,979,942,788,853,332,053,034,
310,894,671,313,100,269,209,714,123,150,239,556,582,299,965,014,280,401,925,
597,800,350,898,726,525,357,547,319,769,284,186,689,371,222,888,534,929,753,
835,482,839,441,869,566,459,282,326,963,888,178,987,714,550,240,030,344,064,
759,411,830,412,811,108,021,602,417,023,834,898,874,731,671,910,248,287,653,
883,544,746,436,414,418,031,112,243,305,133,900,801,867,357,251,124,024,017,
184,030,254,619,074,164,328,396,795,871,721,376,274,986,800,947,634,775,742,
013,908,269,370,486,901,427,657,596,077,351,566,921,014,035,280,032,454,982,
060,199,427,729,768,861,502,732,294,279,155,552,870,314,076,709,120,637,738,
926,549,379,402,626,073,210,375,610,102,650,025,955,529,240,292,609,636,476,
176,709,316,560,845,301,654,518,896,775,616,736,972,267,524,389,546,037,725,
660,367,981,695,185,631,819,521,513,285,029,681,100,174,220,065,015,704,984,
836,307,872,737,209,814,337,748,109,564,779,694,993,500,168,195,903,333,755,
416,239,613,464,676,193,673,820,144,948,253,037,946,379,571,650,057,368,000,
686,313,812,544,736,106,496,903,987,671,046,308,957,496,083,703,969,084,577,
147,870,107,931,577,850,148,893,267,432,942,782,696,602,108,787,037,998,619,
422,097,500,947,138,969,058,606,133,844,706,214,616,954,401,474,849,577,142,
214,463,193,766,055,161,621,230,993,502,658,890,374,189,562,535,849,985,958,
981,692,211,545,945,840,476,463,277,606,459,810,881,208,445,958,924,320,960,
705,573,295,553,873,791,089,559,142,289,801,868,098,810,225,150,987,702,693,
180,382,507,927,078,830,359,330,693,694,710,601,496,500,816,302,264,569,137,
012,836,942,700,115,186,569,567,490,923,645,759,923,978,078,259,910,896,607,
521,295,754,663,743,108,211,077,748,712,262,335,391,347,829,865,270,220,675,
893,060,673,747,660,068,635,338,282,180,457,645,856,073,635,066,676,495,770,
445,692,735,867,668,795,438,643,968,722,816,765,291,885,503,256,261,351,457,
470,890,806,804,394,560,161,252,848,780,653,297,791,247,479,962,905,835,745,
755,228,727,680,989,909,377,793,860,261,918,182,986,580,599,596,512,623,197,
956,730,482,946,951,906,673,328,136,775,891,835,880,680,343,709,238,863,076,
055,445,266,567,851,846,981,019,708,897,395,041,382,763,164,078,323,002,682,
948,549,324,691,633,847,484,478,620,987,409,906,347,739,847,145,936,310,067,
770,872,028,761,427,446,622,465,734,412,794,427,645,883,184,525,881,188,113,
994,584,856,631,570,955,362,430,172,722,628,232,674,613,806,287,299,788,718,
411,566,929,162,928,816,199,617,918,814,216,987,901,830,048,750,542,986,696,
241,433,832,927,989,779,088,660,985,450,729,157,202,427,318,892,445,322,447,
342,087,973,035,395,241,269,577,609,701,956,324,939,855,273,446,982,848,661,
726,648,924,037,185,702,130,517,415,911,082,578,288,989,961,629,787,649,847,
891,586,469,762,715,185,508,519,959,750,928,823,169,799,497,389,574,675,305,
878,196,937,936,142,197,135,827,031,240,031,921,357,378,751,780,046,133,325,
990,880,937,490,449,853,886,942,238,774,085,994,986,117,210,513,873,356,876,
917,212,690,826,557,167,085,174,607,695,388,481,864,788,395,837,836,011,274,
688,496,896,832,528,150,538,602,047,939,093,565,688,375,593,819,106,855,372,
909,558,036,410,495,280,008,469,116,555,345,502,078,208,184,802,947,904,326,
448,867,848,375,360,285,565,629,587,402,559,679,399,725,425,013,098,688,600,
220,124,586,599,671,310,006,103,731,130,937,452,212,564,607,208,257,039,416,
780,764,468,291,084,491,675,812,007,132,484,833,813,381,565,548,146,081,217,
237,580,758,425,936,716,597,183,858,082,503,722,102,118,745,787,475,171,262,
330,022,979,419,927,486,865,366,044,953,065,551,424,520,877,769,908,131,503,
339,223,604,790,752,560,319,094,522,788,236,918,773,665,964,468,765,545,898,
633,513,082,274,930,979,850,324,596,292,598,821,491,242,363,758,339,932,343,
782,565,537,196,159,138,522,913,151,448,778,416,235,272,725,098,637,278,578,
678,820,401,376,577,611,037,255,343,313,729,281,523,326,305,225,153,377,995,
903,567,093,326,263,378,989,726,287,580,976,005,221,129,900,627,421,932,698,
408,929,367,242,567,782,235,389,443,485,562,587,467,830,747,237,729,028,611,
763,994,396,090,609,158,351,087,423,147,417,461,744,816,543,946,675,734,100,
068,186,124,004,221,929,118,804,921,101,903,466,828,806,993,667,163,879,678,
352,665,083,229,099,501,315,196,521,942,024,829,216,507,174,318,051,201,388,
977,804,516,603,853,892,757,145,277,192,021,626,718,589,173,728,737,599,834,
616,672,980,175,296,537,613,436,111,228,447,058,613,535,733,397,852,577,736,
719,830,987,562,273,722,712,331,626,925,682,695,456,426,531,032,699,674,499,
910,549,244,209,439,958,532,630,384,415,538,450,350,479,055,550,925,109,632,
175,611,443,244,104,847,410,625,501,288,439,421,775,860,584,500,152,316,128,
647,274,514,330,403,193,200,726,787,375,667,619,331,657,440,250,002,364,841,
350,974,737,250,449,470,416,136,947,364,911,976,839,265,002,920,184,265,265,
281,408,143,139,193,234,261,178,089,683,927,761,807,137,406,686,813,588,792,
109,026,934,626,934,102,522,162,712,691,958,616,311,052,833,275,864,096,256,
354,031,458,225,385,331,418,624,267,984,727,791,117,125,110,377,061,305,533,
535,564,613,934,696,817,582,114,722,761,729,376,232,186,435,714,270,881,846,
732,331,722,772,142,128,692,897,513,185,490,201,170,882,396,512,656,681,963,
117,198,131,272,033,038,479,381,581,334,546,134,121,667,338,366,905,729,515,
574,897,271,960,105,198,065,258,111,698,361,024,453,050,743,111,430,597,892,
846,712,316,708,668,326,182,851,915,671,479,530,008,950,738,704,141,037,520,
377,135,082,428,960,994,123,624,544,014,469,749,825,447,044,469,972,223,243,
942,776,515,317,789,700,141,991,711,519,906,962,657,880,053,409,018,253,218,
096,063,976,836,471,089,695,817,027,226,522,541,858,708,341,829,042,370,043,
918,584,568,168,757,420,574,586,828,514,172,498,560,431,997,659,517,932,686,
157,709,201,470,186,298,973,390,226,600,942,817,277,580,891,016,213,186,140,
929,843,559,312,910,153,452,854,126,100,741,255,746,546,968,439,817,093,332,
761,780,270,852,621,627,323,347,453,533,685,414,285,896,837,427,514,643,438,
326,345,353,856,860,055,769,800,558,784,946,078,837,752,181,271,281,841,499,
811,160,609,858,803,770,870,825,837,516,879,878,975,291,160,950,578,473,324,
002,020,272,936,189,488,820,506,139,182,554,844,724,410,735,901,941,434,362,
896,921,511,102,543,336,924,086,416,597,098,061,267,876,317,498,127,875,366,
460,945,504,425,226,719,187,128,747,104,532,899,488,380,707,116,350,942,885,
571,711,724,733,954,227,441,597,255,154,770,068,655,633,280,650,384,454,210,
425,352,378,623,055,834,506,591,335,455,390,439,914,794,190,501,132,486,317,
690,831,490,519,822,330,812,590,962,794,698,881,412,422,040,282,679,511,692,
857,641,846,131,661,850,951,320,754,450,759,921,401,578,989,982,276,653,837,
332,026,457,127,606,508,570,773,436,801,051,405,714,681,211,289,837,803,340,
303,933,413,670,005,458,614,201,886,219,547,779,704,514,872,701,150,414,466,
272,572,081,130,379,271,729,926,305,460,983,479,352,306,403,196,046,432,114,
984,207,458,493,771,116,014,911,146,232,957,842,949,255,080,964,416,387,716,
851,047,786,899,687,614,975,855,882,824,590,534,545,383,210,634,759,311,272,
770,356,764,844,285,962,859,842,763,797,625,042,422,785,577,278,801,124,523,
739,320,208,045,900,583,321,578,433,316,385,294,978,013,074,271,780,364,057,
754,868,660,207,431,889,689,284,468,339,588,505,697,188,327,591,849,324,162,
392,253,510,772,904,566,489,300,920,742,222,581,598,795,741,330,281,414,263,
468,200,944,471,343,159,088,688,637,396,972,819,518,422,515,261,185,426,721,
527,629,887,093,485,358,622,922,274,871,837,053,535,880,223,441,243,826,097,
321,842,884,059,468,929,677,986,849,682,542,703,409,515,402,313,810,889,234,
221,252,706,374,798,526,728,433,878,766,189,108,499,656,508,109,520,550,561,
416,546,610,400,878,798,193,040,327,215,542,726,718,461,302,701,174,653,359,
655,220,997,383,296,708,884,035,771,955,119,933,652,104,361,301,878,882,517,
187,210,740,565,499,406,680,112,364,089,652,911,855,229,723,872,598,823,840,
102,126,566,264,039,881,700,874,245,255,345,786,784,258,954,292,276,445,707,
170,517,856,123,250,929,097,766,095,601,385,086,736,730,721,226,407,288,191,
377,670,852,605,848,709,901,188,207,121,279,244,196,549,777,831,177,711,545,
404,848,089,268,237,303,469,127,363,818,627,050,282,837,277,339,723,525,787,
407,472,659,683,420,840,590,894,415,802,025,063,900,024,367,799,178,814,557,
736,048,250,694,830,911,067,125,020,338,735,596,589,029,331,049,884,581,548,
651,858,132,797,464,944,924,016,429,194,845,057,526,284,566,447,536,883,773,
996,111,346,834,489,475,720,161,990,384,667,019,039,019,094,955,407,368,461,
798,032,110,211,742,110,209,781,370,575,567,143,551,549,543,111,256,116,554,
059,667,661,534,182,499,145,732,078,863,141,954,903,159,951,779,557,236,321,
073,552,790,736,993,217,731,323,543,713,194,974,476,994,965,094,630,179,399,
448,667,178,595,510,299,234,643,370,040,205,613,059,709,111,047,117,921,401,
693,933,688,200,541,894,954,262,011,340,997,120,980,904,593,247,122,470,050,
217,343,662,867,372,471,170,223,058,437,715,455,992,006,864,307,408,201,265,
740,208,032,100,751,485,887,983,245,480,100,080,889,186,967,108,482,862,351,
961,124,735,630,198,962,896,149,354,125,306,266,312,706,113,296,406,591,414,
519,655,775,878,773,017,759,652,458,061,008,937,164,029,626,516,781,751,310,
037,394,215,754,556,606,695,551,570,039,597,516,228,362,001,574,667,408,099,
962,962,688,524,965,222,206,749,490,357,856,721,321,872,475,402,873,953,710,
886,305,353,239,867,076,353,244,123,541,661,158,300,392,095,349,297,238,978,
949,359,398,080,847,233,249,448,833,728,806,314,541,540,763,632,057,004,286,
840,825,246,921,651,105,043,757,653,238,059,310,379,295,911,993,656,020,704,
270,824,654,064,104,548,080,467,056,653,937,055,688,133,401,292,565,351,434,
359,321,283,678,383,539,943,465,635,734,696,184,053,420,170,945,757,864,136,
372,385,082,022,670,625,172,753,552,181,806,133,294,053,831,411,964,108,005,
606,118,429,828,789,271,341,491,619,664,730,311,649,436,455,201,408,689,418,
748,284,858,685,205,511,692,518,739,338,461,415,851,437,122,116,676,326,848,
853,058,202,344,830,917,158,282,587,906,102,868,491,401,809,331,972,888,677,
959,530,345,217,945,500,520,348,626,596,740,581,966,673,447,103,143,535,381,
763,869,323,909,730,595,947,499,514,808,658,996,884,061,658,286,533,196,883,
811,658,680,932,763,459,286,913,755,610,865,399,500,133,110,922,021,706,564,
138,500,488,421,502,491,906,418,658,795,321,043,570,526,805,243,981,156,340,
495,412,280,474,157,441,834,520,552,923,320,219,776,935,691,775,087,667,300,
909,955,047,094,180,090,109,137,604,859,331,954,726,313,548,752,842,818,657,
054,046,223,203,834,969,255,818,386,873,485,627,998,394,366,141,565,546,962,
319,479,963,778,202,653,561,086,506,585,985,998,951,301,086,212,382,596,030,
586,496,795,397,667,336,130,719,568,097,645,756,010,941,995,543,051,571,702,
897,929,951,799,600,073,593,695,877,582,512,660,279,733,314,672,253,992,284,
677,148,552,918,430,713,584,895,756,636,491,873,760,192,503,783,672,974,112,
551,786,009,293,464,382,079,033,851,698,374,614,539,864,810,475,102,462,782,
741,327,003,003,778,014,787,608,887,712,209,018,366,311,093,470,128,686,890,
404,091,952,897,352,254,969,048,931,436,745,396,208,723,223,601,933,375,052,
861,152,770,082,728,856,162,699,695,715,902,350,768,583,190,807,030,193,845,
613,797,728,355,082,845,245,014,513,984,915,287,661,854,987,907,922,054,695,
508,353,437,811,702,026,353,991,630,853,085,894,381,217,585,228,526,391,186,
361,057,078,311,272,963,876,660,514,157,288,062,805,835,532,457,832,326,668,
012,030,962,093,400,341,543,394,307,082,940,976,630,121,132,311,548,534,677,
814,060,913,933,501,974,465,782,482,363,790,575,038,293,786,951,099,328,484,
832,756,565,719,144,049,967,900,879,837,528,925,852,256,199,193,889,590,668,
421,494,764,729,232,453,485,624,933,633,682,148,655,139,541,836,359,903,963,
520,957,926,489,993,725,045,327,808,099,479,161,687,794,615,678,934,465,300,
304,826,412,057,900,587,720,033,367,617,340,923,993,441,182,662,177,353,878,
963,091,057,189,488,882,534,524,147,640,562,083,281,085,841,493,443,029,942,
369,460,316,837,066,801,009,466,043,999,709,646,366,694,249,701,796,369,279,
062,202,022,941,699,100,324,845,369,010,158,929,981,840,177,791,534,785,320,
689,444,206,566,847,616,291,950,715,182,760,192,990,515,569,287,709,014,663,
643,808,581,908,196,871,752,389,691,877,863,054,100,332,161,737,756,721,797,
401,427,411,365,821,969,803,763,324,498,846,550,540,478,848,565,354,344,417,
821,754,064,640,501,306,919,697,135,967,812,152,169,439,182,724,257,499,526,
385,005,857,115,176,035,913,380,180,035,211,720,668,566,846,973,961,036,741,
980,373,133,541,227,909,518,022,648,072,924,525,000,867,404,438,388,847,621,
431,148,225,978,214,387,091,269,443,598,778,939,791,316,526,919,089,127,482,
429,765,878,589,060,407,502,684,019,476,247,229,428,044,204,687,607,078,009,
546,243,447,773,838,669,051,030,360,844,358,394,253,996,915,889,280,466,509,
297,062,097,026,696,541,240,739,561,034,933,626,713,008,183,724,209,690,429,
942,862,869,788,256,292,177,745,628,443,084,894,559,805,229,137,734,874,324,
109,642,151,587,944,648,364,122,910,326,239,065,581,535,751,307,942,558,957,
926,708,218,461,239,850,097,315,545,262,153,506,526,422,544,963,140,673,475,
431,987,641,270,897,615,022,733,803,756,195,211,733,873,239,756,196,736,584,
877,675,710,041,423,405,438,567,780,859,564,405,278,949,681,534,732,781,596,
323,308,388,659,930,884,355,152,456,391,774,249,800,147,929,532,380,669,975,
866,804,198,324,579,680,547,857,502,682,358,152,751,318,792,288,992,407,664,
825,309,253,674,254,020,327,146,177,650,849,667,256,750,570,295,520,970,317,
260,651,133,816,421,548,692,951,885,128,795,194,524,429,019,833,722,377,233,
739,642,033,623,632,095,125,119,394,127,477,498,696,107,382,316,534,263,024,
927,949,844,275,514,898,316,095,760,138,858,274,297,014,788,796,239,949,310,
839,405,511,158,768,618,626,677,086,246,183,874,035,331,275,235,206,091,409,
097,406,549,718,235,201,097,613,845,912,192,200,530,116,691,902,254,146,218,
321,287,184,302,647,705,137,485,986,879,751,977,028,826,127,535,276,837,720,
283,733,875,010,005,577,290,493,507,207,251,247,367,263,429,832,177,517,633,
881,777,455,313,462,956,405,977,068,539,646,160,644,567,885,693,431,301,663,
009,870,177,327,589,396,145,870,123,969,284,648,947,674,937,692,690,763,972,
680,465,675,342,920,356,436,682,279,550,663,494,780,566,101,403,108,299,196,
781,435,257,840,488,794,800,222,713,207,667,283,613,116,410,821,635,541,186,
119,947,007,547,993,610,869,118,047,308,463,782,236,419,566,622,986,892,794,
880,535,848,829,389,799,933,894,787,391,736,491,173,501,059,189,258,799,264,
441,718,740,543,129,290,744,096,150,216,884,517,432,092,126,007,750,242,748,
424,879,971,235,750,878,011,128,492,149,333,314,746,485,889,243,294,356,808,
388,857,171,080,499,880,347,684,746,620,412,145,088,940,875,140,541,325,006,
268,943,455,835,962,940,420,597,094,979,638,372,580,638,309,161,834,038,576,
091,006,224,518,681,738,839,401,921,971,830,918,466,948,512,230,118,871,481,
886,374,662,187,372,688,939,727,909,418,610,485,631,863,880,660,720,130,813,
333,471,384,916,094,243,508,704,212,415,901,495,591,925,039,538,985,353,877,
656,185,666,231,684,991,403,438,845,350,464,238,056,654,521,292,867,008,680,
075,986,375,364,649,817,266,932,092,542,122,543,886,168,763,966,340,148,757,
092,228,515,471,685,256,605,802,353,706,215,093,007,095,465,667,555,969,027,
711,449,371,385,198,731,373,744,447,129,778,572,999,988,445,961,751,199,696,
570,086,694,566,637,474,433,848,893,367,138,667,165,194,238,663,385,507,098,
204,356,731,207,333,125,626,303,333,524,454,838,444,174,675,206,742,733,761,
056,273,357,116,766,112,081,811,737,156,283,920,220,752,655,545,667,952,130,
869,259,587,964,454,594,493,484,957,683,386,647,951,968,119,868,559,927,605,
496,087,519,932,593,826,273,984,375,777,795,125,348,178,104,394,193,891,378,
917,954,968,150,693,122,188,128,944,994,301,962,844,664,067,310,337,552,542,
612,152,177,708,290,661,986,898,832,926,494,448,419,122,199,245,186,816,904,
460,165,771,758,280,758,774,085,226,565,647,959,253,205,490,025,708,032,037,
125,865,012,948,942,835,622,951,806,926,277,231,279,246,058,555,162,734,032,
127,502,815,617,593,720,135,305,724,923,342,464,161,803,506,630,709,323,080,
457,175,423,649,597,439,804,323,099,601,510,525,863,062,514,320,117,529,868,
128,562,206,229,593,332,928,512,092,502,137,018,784,296,695,042,845,640,774,
459,011,582,314,499,942,619,085,324,154,061,087,116,440,327,105,063,693,474,
501,729,019,675,462,902,779,170,712,479,564,904,610,234,082,990,790,400,865,
769,243,560,873,433,433,426,345,927,640,115,438,405,755,410,147,742,412,760,
766,565,486,446,875,346,215,124,020,473,750,156,054,424,635,698,676,931,356,
548,829,889,512,510,226,845,086,213,236,779,181,759,609,618,946,498,556,509,
249,615,297,757,067,557,509,787,912,976,500,311,847,873,175,577,027,367,144,
454,472,649,652,535,930,637,086,699,227,851,777,422,284,852,337,443,965,030,
878,963,922,467,390,350,415,417,430,126,342,939,615,611,934,626,155,024,810,
184,538,877,418,183,441,338,266,073,115,932,877,138,003,962,405,265,069,630,
386,559,799,983,154,688,737,331,968,546,464,786,010,437,518,566,736,425,987,
407,178,602,857,111,927,310,889,993,819,686,672,188,352,754,501,796,330,678,
429,486,271,033,894,121,520,152,963,396,052,528,770,969,335,686,384,249,802,
949,696,370,858,627,577,374,278,032,186,241,576,438,058,749,941,608,903,921,
769,490,457,071,949,830,785,535,459,422,952,775,772,001,497,528,009,555,770,
346,170,658,253,907,239,596,420,178,006,528,506,836,510,004,096,269,853,876,
809,139,917,929,080,957,353,990,425,075,986,044,817,050,281,428,236,150,789,
162,497,994,907,403,303,612,427,380,338,289,554,247,449,109,066,647,337,257,
929,245,019,060,866,664,696,333,551,810,930,161,732,126,833,007,982,482,776,
336,104,689,664,753,424,777,521,194,969,846,718,654,431,110,845,605,903,159,
647,462,121,895,767,752,618,031,719,858,931,430,805,752,229,798,208,396,781,
393,680,366,958,564,684,713,111,971,986,213,834,739,392,971,571,916,139,570,
731,899,785,464,118,243,971,156,538,345,175,055,635,579,852,226,282,513,050,
226,246,987,657,338,889,038,083,937,329,327,047,795,236,502,978,307,790,331,
955,891,946,596,011,761,155,395,438,565,274,138,303,853,101,210,087,968,016,
896,825,380,791,056,266,254,717,192,163,116,730,188,592,060,867,923,369,450,
682,815,713,687,533,252,103,600,127,385,936,023,568,656,272,582,829,854,209,
148,175,494,657,516,519,011,281,820,619,376,144,675,724,700,449,297,409,347,
548,354,997,477,404,199,834,541,444,202,342,136,372,236,389,554,244,929,848,
902,463,473,028,897,087,778,153,110,181,608,201,361,580,420,850,828,179,835,
547,089,899,502,602,882,236,886,358,199,219,101,410,104,750,053,533,382,098,
841,157,428,512,414,815,732,639,529,852,422,804,334,998,619,363,663,625,197,
996,769,166,180,080,216,592,535,598,783,168,875,841,280,892,286,258,523,821,
906,544,712,428,540,655,953,637,493,797,525,036,704,413,450,571,518,531,839,
319,658,901,031,528,468,015,822,599,702,772,143,131,504,679,462,204,757,304,
286,550,905,016,338,151,823,092,520,191,179,419,987,039,594,015,842,860,928,
827,460,919,350,560,657,271,596,492,535,945,227,911,233,970,775,847,859,980,
151,212,665,181,931,922,223,113,983,720,368,523,948,492,490,817,968,676,738,
067,620,700,589,214,247,224,873,995,092,176,727,292,195,185,851,757,438,012,
541,167,980,181,830,791,192,119,419,393,799,528,241,357,076,894,674,088,083,
640,477,221,567,103,743,571,241,839,071,227,661,726,333,351,261,548,551,283,
471,621,799,320,203,127,770,717,994,830,388,615,757,440,525,117,508,281,378,
205,688,172,845,548,119,641,116,028,935,069,595,616,320,277,678,479,087,459,
455,557,014,308,052,257,951,610,537,374,179,478,146,627,245,694,554,072,441,
303,409,330,695,547,701,187,221,504,198,557,908,213,782,498,770,905,316,645,
419,990,354,862,631,943,096,345,078,813,403,154,714,256,515,292,528,241,748,
822,614,718,771,720,736,999,242,579,145,039,456,007,031,490,555,991,002,042,
770,237,220,609,324,798,550,855,463,709,505,701,795,725,976,689,090,431,957,
681,239,601,691,562,047,634,509,752,848,987,264,154,886,087,023,767,591,319,
597,345,670,022,902,423,949,976,317,972,244,441,792,158,356,857,763,726,005,
446,349,976,245,348,141,209,928,927,169,116,744,425,258,965,770,693,305,459,
352,864,307,936,717,316,371,574,022,487,750,228,825,134,944,523,971,561,190,
782,248,607,952,026,852,745,387,201,288,380,338,707,689,317,068,564,580,601,
976,414,682,479,057,831,422,749,308,374,483,848,435,941,346,898,086,742,231,
463,571,869,576,973,983,444,109,077,534,585,879,133,305,399,142,227,004,443,
321,572,210,607,459,339,430,337,473,769,216,265,396,479,663,681,121,059,805,
635,942,386,350,799,953,820,558,522,344,804,824,393,889,033,225,506,269,467,
610,470,668,950,896,629,064,015,982,992,286,277,995,288,442,576,924,773,472,
110,967,733,748,852,986,775,162,489,142,987,840,493,152,814,789,870,706,880,
623,036,599,303,265,350,718,295,411,519,753,917,778,632,127,328,510,840,703,
666,028,015,664,094,597,636,410,743,734,821,317,889,170,909,155,748,187,118,
373,784,253,235,129,406,681,383,210,039,800,252,974,792,426,834,515,454,942,
946,654,935,566,487,811,789,875,423,450,542,803,722,809,615,382,244,128,796,
383,081,798,593,742,423,910,424,571,367,840,614,537,414,948,488,721,438,878,
582,194,927,237,685,749,049,835,431,679,536,551,080,202,686,448,090,547,723,
367,699,602,892,016,341,445,322,989,155,647,456,658,214,928,946,088,008,296,
847,993,672,720,752,614,395,138,406,356,864,368,473,912,659,822,951,072,256,
677,455,530,211,296,619,911,061,761,159,810,173,319,496,000,269,991,466,865,
079,834,211,434,981,764,863,722,607,925,061,480,242,189,683,222,883,771,901,
285,850,461,959,514,179,960,092,314,044,778,047,666,410,183,887,406,307,662,
051,884,541,388,635,212,912,260,476,780,320,680,397,387,548,677,975,428,730,
424,000,175,349,466,687,835,163,224,483,581,707,514,660,577,876,507,840,081,
124,767,973,274,075,614,078,700,774,842,549,795,070,514,415,690,255,838,630,
726,208,392,088,755,879,272,309,771,127,794,839,621,867,090,923,082,861,473,
130,253,537,801,552,104,022,747,524,031,376,252,577,272,429,746,441,120,786,
336,829,255,995,308,129,633,955,757,998,179,922,920,212,485,120,022,217,259,
910,645,533,194,946,592,227,212,686,433,962,788,543,854,138,748,534,781,184,
142,085,223,350,284,659,939,422,012,973,920,804,409,398,703,516,389,646,374,
731,595,036,302,246,443,518,759,994,623,164,267,993,179,508,935,521,091,280,
048,088,707,385,694,037,657,845,508,724,410,371,139,073,419,868,572,272,245,
730,405,113,781,557,143,284,613,830,859,389,840,136,883,940,002,046,407,150,
450,924,412,820,048,264,389,258,583,305,006,768,184,584,705,308,120,649,015,
902,909,711,954,874,041,012,047,074,996,247,117,296,394,616,795,291,801,711,
118,014,240,375,812,689,248,417,444,404,058,904,529,866,475,688,334,947,990,
132,094,870,369,166,948,128,371,799,529,184,047,956,046,142,275,563,356,271,
641,861,270,820,347,985,355,304,559,895,608,831,791,420,322,880,995,548,205,
562,252,766,572,319,890,382,451,682,731,820,066,455,756,363,395,186,879,631,
772,461,723,275,904,136,683,728,720,153,838,652,877,425,122,582,533,950,295,
381,729,273,598,052,767,295,082,290,221,233,165,415,175,054,299,503,394,004,
742,335,254,540,476,790,092,822,063,208,751,084,049,340,810,596,002,353,077,
271,359,693,589,684,846,117,167,835,327,580,749,119,682,744,613,344,226,116,
000,398,942,655,180,208,300,598,059,451,736,539,793,594,063,790,312,120,699,
638,660,866,572,131,721,095,741,699,396,823,932,444,151,500,920,409,892,852,
733,184,361,380,683,542,673,787,878,851,310,619,351,472,833,567,181,139,753,
829,263,400,641,541,247,552,362,645,824,241,398,567,541,038,516,733,799,411,
362,045,115,301,949,121,661,079,078,740,537,069,010,416,806,745,529,941,372,
332,044,892,834,117,654,698,115,903,748,211,778,268,194,871,429,938,131,560,
307,492,910,825,040,749,734,461,638,851,273,113,198,761,549,853,873,597,647,
697,289,688,156,216,897,231,396,417,656,249,306,915,511,761,495,428,951,677,
574,690,956,244,747,312,592,676,440,635,640,942,794,954,021,176,272,734,825,
423,873,203,981,001,272,233,179,090,389,178,796,369,699,314,515,377,201,671,
034,142,181,683,738,786,924,576,777,909,342,147,265,604,632,419,995,603,298,
095,281,180,882,548,376,183,268,496,537,533,968,647,562,493,217,834,214,820,
459,406,456,440,542,959,282,723,909,087,816,442,798,191,427,828,300,597,693,
431,645,848,756,014,301,308,489,285,105,518,701,641,341,307,539,209,991,880,
368,066,671,172,057,022,715,538,830,308,289,966,998,888,136,342,039,587,831,
151,760,905,198,581,083,355,863,265,780,061,956,066,174,028,603,626,777,702,
940,913,697,976,629,113,540,233,489,394,452,825,938,884,297,061,118,680,491,
159,730,598,263,246,902,816,734,563,840,092,893,614,661,646,275,411,522,265,
908,653,698,273,474,440,837,525,260,223,136,583,778,756,248,598,240,783,863,
028,514,110,100,591,987,572,458,150,903,906,432,697,816,204,147,435,528,695,
703,189,888,150,875,505,529,985,688,647,086,055,656,418,719,295,669,846,229,
356,340,907,417,326,931,630,784,699,134,146,122,509,888,385,385,624,408,630,
414,175,255,508,479,966,787,422,206,995,896,442,788,796,354,739,442,082,991,
102,036,041,640,424,011,090,689,058,678,829,184,024,306,439,205,066,715,247,
526,738,911,604,966,690,736,291,600,468,062,536,022,732,190,648,449,059,033,
378,261,629,358,918,974,139,242,679,376,513,400,359,829,278,379,228,870,171,
099,797,141,398,897,783,344,634,511,480,426,680,284,340,592,781,254,249,401,
055,122,680,052,909,696,182,431,250,578,742,322,112,221,010,178,116,562,285,
153,919,073,861,494,369,177,489,083,894,858,311,620,776,201,790,757,487,631,
239,876,918,004,934,365,744,962,460,557,691,898,250,320,670,850,958,007,103,
664,046,403,551,113,524,242,544,600,802,698,803,063,703,371,028,449,146,820,
437,061,018,452,604,126,000,988,312,830,337,802,504,344,223,667,946,278,776,
977,580,923,982,518,451,542,545,598,908,845,838,239,177,380,618,510,612,709,
907,474,041,431,074,452,709,177,163,464,680,411,601,092,989,873,990,475,853,
855,750,079,519,129,108,980,414,523,307,649,551,782,421,775,108,464,040,049,
310,871,762,021,644,142,146,837,999,087,575,047,495,116,488,564,751,824,336,
433,315,960,419,894,436,349,347,141,525,504,509,784,468,977,895,138,911,768,
501,730,994,018,225,511,992,209,694,377,048,744,241,459,787,300,605,881,910,
206,075,767,593,698,044,406,690,632,169,829,277,519,065,812,859,722,781,543,
162,560,467,747,338,210,000,052,932,048,448,054,905,260,842,648,789,529,680,
132,211,785,589,086,600,826,688,664,023,604,780,874,848,958,125,672,944,806,
704,173,780,516,391,366,621,361,494,324,305,516,236,964,029,975,223,368,527,
522,081,355,136,999,707,371,585,410,291,120,309,547,416,638,988,805,840,159,
332,141,340,772,649,953,468,539,184,987,381,562,182,187,867,465,991,304,780,
505,526,946,606,004,373,847,933,072,986,518,671,505,940,388,742,748,116,023,
084,803,891,007,422,538,960,920,105,787,585,718,990,743,105,792,644,355,048,
002,061,833,893,770,832,679,802,482,477,519,752,934,148,580,725,941,461,980,
956,734,802,708,566,600,009,340,320,180,328,120,752,595,558,764,663,580,111,
703,952,919,054,221,728,866,873,704,123,684,680,360,834,711,138,935,199,044,
605,920,920,052,919,910,841,525,827,194,933,540,237,889,335,361,724,520,636,
512,699,408,569,043,036,165,554,590,527,513,295,593,880,161,313,581,768,557,
693,004,430,989,778,244,173,868,613,414,001,660,158,771,607,443,064,274,877,
661,831,793,331,120,475,240,007,209,241,771,095,233,892,944,991,458,680,903,
682,550,232,208,170,125,966,243,442,650,353,696,439,338,708,139,785,119,007,
395,059,595,811,920,342,439,269,104,034,596,082,929,936,761,215,450,818,562,
943,057,852,214,900,569,933,400,128,596,786,108,785,643,825,700,775,009,588,
823,202,091,554,848,018,608,936,456,389,859,391,195,304,851,392,568,592,849,
973,848,495,868,589,095,217,992,773,397,713,411,278,421,220,058,395,476,125,
130,918,530,889,186,835,279,096,623,686,684,022,400,479,055,764,086,520,230,
089,337,450,394,315,090,672,174,334,897,461,919,974,039,996,850,666,021,462,
844,696,099,183,628,650,413,676,053,299,744,296,058,562,417,478,775,813,458,
814,435,353,527,485,478,256,066,108,815,674,064,319,531,460,615,979,295,356,
771,961,218,373,478,224,691,834,149,242,600,951,197,251,676,570,702,951,731,
478,306,834,970,764,172,820,874,774,076,156,182,099,971,265,746,720,615,342,
125,843,732,540,492,410,140,675,485,508,026,576,656,606,833,349,152,256,713,
310,856,704,598,870,307,318,808,300,666,374,427,540,853,228,520,904,582,781,
402,262,410,013,690,837,594,831,773,668,249,510,731,512,591,155,577,039,599,
124,022,968,487,218,821,566,324,450,471,726,580,591,637,739,594,079,768,201,
279,425,568,370,399,676,477,357,792,261,143,868,046,831,236,532,007,067,930,
950,509,376,098,103,134,616,700,740,438,356,213,780,169,118,033,988,372,277,
187,212,238,008,157,522,899,884,461,544,007,909,212,985,221,046,104,652,925,
217,984,106,888,885,899,127,750,894,297,347,397,345,592,706,114,504,977,220,
033,115,078,849,089,517,116,734,185,916,161,271,081,483,812,573,153,325,178,
266,996,776,886,340,145,608,564,605,672,294,704,089,871,867,876,807,067,255,
592,751,698,494,016,049,957,975,030,856,524,111,808,548,255,560,434,434,677,
276,456,014,301,026,257,492,672,365,362,952,434,376,666,699,659,577,424,929,
339,486,736,235,143,137,685,976,919,516,294,459,866,785,118,461,132,696,018,
039,126,233,292,655,604,044,278,728,152,132,372,388,431,904,473,493,657,373,
478,973,101,068,233,894,703,985,823,094,916,133,216,916,253,724,066,419,520,
241,882,057,818,806,004,466,850,645,255,696,605,366,839,401,207,140,598,897,
189,483,679,438,744,235,265,108,684,668,591,584,025,377,673,530,094,827,567,
763,540,200,466,664,622,590,373,353,872,122,743,311,328,999,500,044,421,084,
451,428,015,834,703,398,146,481,242,338,394,014,807,249,941,056,641,322,597,
200,632,197,265,786,374,083,401,500,095,036,488,316,924,043,478,559,125,194,
109,766,619,098,294,370,414,155,442,635,616,040,269,293,454,793,823,083,650,
059,038,428,160,954,354,689,590,905,133,140,783,075,438,477,466,848,612,135,
130,730,131,706,021,648,917,090,973,459,643,175,664,251,204,772,170,457,371,
717,455,555,416,124,771,663,271,019,119,410,295,857,938,031,918,840,578,182,
454,405,079,970,145,807,102,885,576,204,818,574,150,765,820,464,856,666,907,
974,221,687,045,120,647,723,656,697,738,178,118,375,303,391,090,209,527,939,
949,685,045,009,834,131,249,598,226,745,727,351,256,230,137,383,915,843,825,
032,744,516,179,586,300,892,112,764,669,413,144,904,237,366,222,272,516,419,
861,834,187,412,351,851,808,057,548,835,930,015,882,260,557,107,506,290,866,
117,774,129,349,279,630,925,922,056,711,636,455,427,243,334,875,105,208,502,
498,396,817,703,531,285,824,598,037,799,040,427,913,108,787,926,030,887,541,
958,809,224,621,911,900,461,055,618,657,658,347,133,237,740,280,709,425,480,
259,137,033,358,791,822,640,295,734,634,504,872,070,821,353,081,562,006,693,
515,810,013,438,670,030,069,525,826,797,626,064,626,489,895,632,946,620,052,
956,593,738,480,761,841,804,730,761,032,095,281,929,955,180,989,353,938,870,
634,733,241,271,854,791,914,824,736,956,981,264,852,912,376,901,190,322,928,
603,208,546,924,702,002,646,387,043,910,322,949,298,926,342,109,892,217,822,
003,057,183,923,334,329,898,858,465,278,662,131,251,340,174,555,901,008,917,
656,543,161,839,923,101,240,796,406,241,084,206,083,959,474,992,625,015,936,
044,629,055,940,097,646,618,165,300,014,695,857,865,483,051,377,177,703,287,
114,017,986,337,528,592,210,670,837,029,739,401,701,968,282,723,824,210,113,
290,794,180,538,864,594,656,369,462,962,474,941,832,355,940,640,744,598,619,
425,285,379,292,274,903,699,596,731,874,504,285,084,231,852,935,259,646,214,
887,886,483,656,616,451,731,956,131,621,390,304,710,451,547,011,181,457,319,
709,619,804,743,975,747,374,597,284,121,591,716,497,463,549,928,365,633,182,
640,123,299,141,416,654,831,540,981,083,104,518,843,459,238,790,500,256,033,
499,896,344,778,743,219,469,997,424,900,347,117,264,649,600,549,573,883,044,
620,657,912,457,469,360,448,657,031,914,197,261,684,150,112,550,560,866,925,
501,349,416,386,875,899,556,892,823,962,160,619,009,459,283,011,158,992,660,
153,781,884,635,417,444,082,552,961,343,590,513,969,043,371,699,580,574,852,
169,982,730,809,191,647,144,638,865,093,771,088,077,718,411,150,679,775,472,
435,743,594,759,265,540,046,460,525,092,341,417,821,216,090,799,480,585,631,
104,467,338,329,763,879,492,242,929,160,161,606,176,566,186,243,114,076,417,
318,941,572,108,169,239,717,082,745,563,765,099,046,509,742,570,093,803,946,
596,549,767,245,159,721,464,364,474,488,853,156,669,790,448,848,856,789,320,
519,051,369,215,601,379,553,968,053,363,956,796,768,644,528,782,694,673,298,
917,540,448,050,023,014,860,506,339,316,346,070,195,754,917,066,660,615,946,
951,058,311,220,854,269,045,749,570,800,520,219,074,368,830,565,701,698,862,
921,511,672,503,538,186,275,544,575,645,785,703,049,348,135,367,562,613,320,
952,999,150,130,754,034,117,553,229,549,532,460,952,223,191,404,434,959,624,
840,684,707,037,256,283,927,905,211,391,268,149,072,572,861,305,488,701,894,
873,728,632,987,772,892,785,443,398,846,107,443,740,922,165,497,893,720,771,
488,575,199,003,111,753,464,926,082,173,232,719,185,860,466,958,235,527,555,
440,479,857,872,411,790,845,481,175,446,675,293,651,437,726,841,348,486,860,
657,192,450,890,946,157,270,123,230,477,074,580,635,886,414,551,437,494,489,
854,297,236,271,201,043,942,297,054,438,819,304,752,178,150,358,115,586,317,
081,339,879,433,501,850,998,202,931,331,396,295,046,639,275,496,454,080,897,
828,550,240,477,239,754,163,511,123,448,744,517,295,067,116,994,868,970,859,
527,284,933,521,525,458,737,502,780,624,595,907,903,346,467,321,746,967,859,
794,435,400,622,757,378,567,186,829,790,448,204,003,306,909,256,561,851,070,
621,335,436,538,622,299,459,534,774,510,316,795,617,477,520,348,950,804,402,
164,763,772,243,379,980,062,666,326,599,635,835,264,589,090,457,714,898,838,
309,326,273,315,024,717,181,864,957,463,170,411,586,281,937,107,143,386,849,
499,459,829,528,458,601,746,819,581,208,611,579,358,478,762,347,501,420,635,
012,723,239,205,455,039,442,846,273,993,957,448,257,619,742,670,495,451,039,
116,728,789,796,369,966,065,859,918,505,400,051,742,139,468,496,096,431,231,
959,944,588,301,249,443,014,183,229,681,203,316,069,699,677,157,810,672,171,
633,434,171,766,004,246,674,330,662,115,788,729,346,019,308,682,852,161,239,
686,363,835,602,802,029,546,028,307,825,233,083,437,419,814,181,343,048,436,
052,503,878,921,226,872,916,084,101,762,866,240,264,390,783,125,901,840,253,
479,858,074,493,084,682,109,812,662,154,183,104,678,475,146,580,519,114,451,
908,749,373,022,907,376,676,478,849,693,441,816,460,478,110,026,881,060,108,
257,104,611,724,117,056,591,514,086,887,673,732,499,489,561,825,600,570,629,
669,774,275,590,703,919,577,535,355,722,405,930,571,838,183,538,767,549,602,
695,253,505,338,306,070,865,890,859,501,263,164,229,172,643,349,081,546,022,
121,921,445,965,178,351,967,476,230,997,332,099,761,929,199,613,117,858,472,
668,865,197,212,682,897,210,370,893,393,075,480,438,372,032,314,472,500,833,
069,451,897,188,390,587,533,619,631,557,892,221,267,146,920,376,852,876,010,
550,162,681,816,057,785,651,312,957,261,331,129,773,975,593,358,486,683,189,
700,768,869,933,505,154,763,161,349,970,344,167,088,484,133,402,329,719,626,
588,116,097,232,442,301,382,007,176,890,854,745,255,177,569,842,230,816,257,
985,215,114,476,721,320,285,927,551,237,994,796,004,940,126,893,125,576,902,
772,138,584,703,702,924,226,399,598,939,024,055,705,443,185,225,470,327,269,
828,418,133,875,798,992,543,004,826,123,695,998,540,056,293,195,870,219,712,
140,994,186,777,753,459,846,404,922,080,453,328,969,121,259,402,922,285,035,
492,933,370,534,556,273,585,343,873,516,351,692,318,157,216,915,276,533,124,
658,471,734,030,158,972,629,799,236,946,211,875,315,325,303,485,704,958,196,
767,224,895,659,119,820,940,682,626,788,288,504,618,599,322,716,142,245,369,
418,140,407,380,503,120,465,810,842,658,762,179,007,160,121,612,705,803,448,
741,142,153,164,773,806,544,897,814,227,002,499,168,253,769,550,512,434,733,
440,830,353,957,863,500,294,985,435,931,910,508,068,173,109,581,469,051,977,
744,970,614,374,811,877,471,746,344,814,005,142,604,068,202,806,163,339,647,
637,056,468,703,814,915,896,713,170,031,646,114,866,387,596,954,401,367,462,
091,178,733,132,685,760,699,936,299,799,090,975,286,351,976,461,628,501,712,
937,302,998,188,745,460,249,124,084,503,231,237,777,935,272,335,027,755,738,
227,338,246,168,741,418,420,573,116,795,286,395,414,887,041,540,012,306,165,
720,982,523,569,798,959,693,324,939,657,277,097,452,413,375,151,908,915,508,
133,570,080,263,106,176,715,651,428,583,032,928,795,994,083,061,714,742,930,
982,002,391,651,736,951,806,646,279,327,837,898,676,186,434,334,019,382,457,
703,988,008,874,187,491,742,769,560,905,631,303,261,629,322,861,020,455,587,
777,634,234,389,373,160,937,947,649,710,101,276,739,759,314,440,055,226,950,
687,911,469,831,904,938,120,190,175,078,983,728,518,664,181,792,197,425,941,
861,158,360,398,159,139,151,215,217,541,372,498,384,209,221,638,842,929,145,
042,338,761,436,705,410,249,617,200,901,178,474,873,413,935,941,353,166,442,
387,706,920,135,579,642,036,396,817,280,355,356,558,020,649,736,857,635,050,
515,377,000,439,700,983,397,957,246,175,693,329,120,398,985,657,810,449,564,
195,994,066,784,919,842,071,636,970,869,577,992,447,921,112,092,681,010,702,
330,583,286,294,415,354,484,096,513,402,704,950,249,862,353,915,415,248,350,
668,707,814,889,884,366,521,092,938,060,888,746,147,748,332,104,243,096,841,
319,620,450,130,695,700,491,884,289,050,754,816,308,801,048,725,258,199,516,
583,034,081,170,323,386,229,783,057,317,748,705,975,097,360,201,058,243,127,
870,969,768,807,673,729,779,799,699,283,082,558,835,325,091,252,638,955,102,
703,463,308,180,278,848,100,330,784,319,410,304,265,923,450,271,441,140,088,
052,522,016,831,017,035,725,748,662,591,040,481,206,987,946,478,970,157,943,
348,608,813,559,906,715,091,807,631,258,986,709,133,987,885,913,255,804,662,
650,077,049,352,347,451,860,133,875,302,183,122,740,636,617,906,845,069,945,
801,021,828,104,817,384,799,290,312,060,700,659,663,102,310,421,350,687,622,
154,475,628,803,958,971,014,465,023,505,558,032,290,232,178,342,886,485,441,
434,249,619,689,867,276,073,159,429,043,114,532,882,274,125,871,508,058,502,
654,217,840,341,543,098,455,770,636,473,995,294,167,746,998,516,407,289,112,
566,245,765,537,696,886,756,336,530,132,284,699,871,804,741,552,648,936,689,
492,628,731,160,997,349,839,509,544,202,772,391,054,799,454,974,480,242,060,
245,312,858,989,474,622,525,483,146,042,495,239,508,221,432,708,217,420,366,
080,756,974,316,647,683,488,649,474,352,170,719,833,350,917,257,795,525,438,
135,358,348,561,513,518,664,203,606,888,542,327,204,955,570,526,406,570,572,
566,298,590,812,530,373,460,550,794,963,947,744,736,896,191,149,379,881,396,
807,835,604,467,398,968,764,177,164,542,425,309,521,655,491,935,917,175,817,
498,761,341,037,612,779,773,787,322,468,395,503,689,110,763,983,499,576,052,
812,511,163,222,007,131,842,082,866,705,625,444,966,845,969,432,338,384,507,
728,295,475,748,598,817,677,107,285,350,977,869,541,156,854,121,940,449,377,
375,923,813,792,718,807,023,862,876,861,538,425,061,459,632,937,600,128,523,
448,813,882,446,332,680,034,484,936,339,269,668,938,695,493,707,058,538,776,
231,982,008,937,590,948,343,185,432,759,421,865,937,480,183,395,112,964,071,
191,692,776,252,447,812,538,157,959,386,036,424,620,120,483,291,803,295,844,
835,493,634,906,556,177,564,800,328,805,722,078,508,132,014,870,000,353,539,
257,275,273,140,638,498,918,527,757,457,697,477,674,579,037,191,422,726,149,
708,656,054,840,338,528,364,906,051,503,441,045,681,157,545,339,424,299,713,
687,626,786,068,724,387,130,928,411,821,222,749,604,012,257,500,807,027,403,
292,545,212,708,799,850,205,706,396,463,426,081,782,584,670,468,003,334,049,
600,581,933,614,721,326,742,373,404,214,220,811,084,182,772,301,455,744,775,
506,027,573,244,862,894,179,173,812,554,947,857,410,438,760,495,786,671,602,
589,149,180,045,849,263,778,717,611,960,448,693,001,296,628,336,966,532,235,
178,729,446,653,831,808,375,529,018,576,322,656,443,665,431,859,999,081,043,
909,848,155,559,576,768,838,808,930,871,283,748,186,592,277,601,038,512,939,
757,206,796,797,817,614,891,450,154,867,536,912,793,477,631,496,325,821,846,
877,891,335,299,344,562,269,537,697,834,933,831,667,634,702,308,488,475,982,
664,306,752,945,887,154,003,869,165,914,109,088,102,711,566,791,272,414,087,
795,225,231,844,923,456,735,694,856,046,626,516,377,982,139,506,188,298,121,
933,831,344,007,885,011,187,840,020,624,880,040,630,952,086,075,572,536,990,
987,715,496,924,805,928,087,150,417,052,821,355,750,049,858,698,004,726,045,
878,050,847,115,424,519,485,045,711,353,568,124,639,841,890,917,484,445,584,
164,019,868,740,780,522,244,068,095,054,742,214,949,097,993,070,985,186,581,
311,901,879,853,052,378,585,969,775,962,129,646,668,364,325,407,712,602,659,
179,034,779,292,007,478,228,412,063,165,425,982,898,148,407,278,369,133,906,
871,289,821,678,690,683,394,439,482,575,215,488,886,790,044,105,944,742,219,
994,797,840,138,528,290,403,610,282,362,854,387,192,831,495,431,151,158,062,
484,077,028,652,024,149,807,440,880,937,825,163,432,198,298,150,739,355,635,
878,276,370,287,328,836,106,822,213,891,276,358,098,994,485,281,255,761,461,
332,493,966,160,767,833,047,161,350,652,410,663,319,337,078,013,388,639,084,
340,675,839,512,604,181,128,495,126,498,822,772,757,536,816,034,059,671,224,
920,968,838,268,245,960,784,434,410,153,266,255,190,152,220,948,853,420,017,
123,462,388,180,119,239,925,043,772,690,801,582,848,072,072,636,051,790,203,
838,311,869,998,666,489,697,393,506,961,103,743,372,121,322,196,947,867,005,
881,556,875,639,984,827,533,661,475,301,120,951,933,317,740,741,689,362,461,
796,845,862,998,560,590,342,917,852,382,113,114,427,000,639,985,029,209,898,
786,194,855,887,777,965,752,669,535,148,636,969,815,426,810,614,939,680,959,
358,174,525,522,502,269,942,403,172,083,765,391,262,244,355,123,695,359,867,
729,879,088,820,947,846,295,848,314,267,095,040,559,437,299,920,351,919,858,
059,500,992,163,851,402,655,329,647,789,665,749,202,820,206,445,068,515,572,
457,522,073,360,605,030,423,404,638,411,044,830,193,954,909,692,508,077,266,
038,708,498,115,679,168,955,672,131,639,395,675,281,902,868,213,261,441,723,
541,797,640,071,898,691,636,535,755,764,578,536,273,249,008,952,471,934,102,
959,776,592,130,999,455,208,418,044,958,547,980,143,403,050,568,247,337,896,
556,307,682,675,459,837,413,719,642,512,800,668,387,494,584,000,914,228,333,
882,263,342,071,195,097,187,537,766,769,825,646,553,416,976,834,174,861,821,
800,254,361,350,644,271,898,946,621,880,601,284,214,566,934,982,762,184,423,
693,663,331,514,644,090,719,409,847,546,503,614,348,334,624,161,432,831,053,
065,638,907,806,074,966,720,989,000,013,275,879,628,315,234,942,256,099,990,
653,029,016,968,435,204,390,198,197,609,052,955,061,310,028,535,999,664,111,
979,932,698,987,825,840,255,903,233,356,150,721,983,041,611,532,339,498,221,
631,842,721,115,897,023,099,644,834,835,866,149,066,901,803,128,352,482,472,
910,307,696,983,887,905,752,143,542,689,417,128,760,927,625,863,101,771,796,
771,683,214,466,794,959,724,380,765,731,389,123,763,031,946,235,197,176,051,
240,115,901,355,828,277,709,518,257,180,375,429,362,189,371,923,059,857,670,
792,541,830,987,990,777,106,413,363,994,557,987,149,239,638,778,451,024,441,
240,261,129,426,156,878,098,547,175,590,954,802,168,461,039,858,021,246,053,
953,859,229,667,043,413,316,034,719,513,347,264,207,302,076,698,569,745,039,
257,093,149,781,533,936,566,508,376,170,468,490,163,435,068,479,887,874,204,
907,903,967,971,311,954,704,923,630,296,917,902,670,610,775,763,317,804,116,
820,181,546,868,677,836,229,678,557,299,615,308,999,879,445,424,121,920,687,
679,615,487,584,740,186,896,047,236,607,382,009,874,093,283,422,832,372,782,
655,496,920,992,134,125,723,834,983,056,961,110,441,593,899,874,171,573,683,
310,970,929,011,013,943,109,840,271,569,092,897,318,190,060,796,574,929,380,
401,531,943,141,324,720,139,624,626,743,439,257,902,474,933,687,443,012,656,
119,235,295,601,970,205,964,181,325,381,446,764,685,554,404,494,134,871,410,
350,173,349,753,323,349,932,382,286,563,470,546,706,312,924,374,171,012,333,
054,286,825,681,685,281,643,654,347,203,090,714,376,004,492,439,623,839,763,
073,943,240,839,071,214,353,604,980,982,080,780,693,225,759,476,325,950,874,
988,348,311,097,797,577,339,194,413,017,161,071,836,165,170,684,829,110,276,
363,345,965,906,373,800,986,080,358,543,426,721,258,795,438,965,718,865,124,
312,445,670,457,156,915,103,559,525,680,169,010,198,111,424,774,395,394,918,
475,818,614,224,991,595,483,194,247,602,550,465,147,308,389,859,886,274,125,
744,984,406,167,544,421,630,711,089,457,155,123,353,421,849,294,766,994,718,
182,251,646,159,578,664,145,931,204,747,876,210,682,773,111,520,345,157,094,
730,115,464,889,394,920,344,023,615,533,345,842,824,554,929,970,435,806,276,
381,987,465,762,040,161,115,276,011,583,556,783,327,341,330,218,708,892,325,
442,326,590,294,699,287,444,304,646,295,986,971,132,591,071,371,453,723,675,
661,288,387,471,539,170,493,854,240,012,516,539,716,636,685,038,304,897,610,
224,938,710,741,260,113,949,668,689,540,271,904,124,920,217,247,221,826,870,
022,599,201,840,798,380,871,313,929,164,043,244,979,609,357,650,860,497,059,
418,764,291,482,622,136,600,682,516,984,987,908,995,819,756,078,246,221,897,
957,579,415,721,730,474,978,124,372,887,811,305,871,486,000,785,984,733,983,
207,876,386,725,003,627,252,664,595,093,786,105,766,281,417,380,842,593,465,
551,196,213,888,508,079,820,570,105,136,661,226,960,122,193,039,891,686,955,
476,484,194,729,955,569,798,239,524,564,761,194,560,090,068,685,319,500,895,
778,034,774,517,893,763,573,745,541,479,329,930,400,281,106,420,808,154,622,
780,822,352,857,524,556,920,370,270,243,426,697,270,381,796,170,648,229,921,
572,317,812,809,142,306,324,149,259,235,696,032,052,353,306,984,023,178,402,
513,843,434,147,447,250,397,160,466,982,313,566,195,718,935,556,468,890,248,
770,936,830,941,729,313,595,389,667,626,623,301,914,946,653,097,984,472,194,
211,385,570,963,783,435,409,786,986,977,407,367,738,479,174,398,068,572,376,
462,826,632,511,946,792,065,183,867,799,980,947,058,403,299,463,385,641,645,
115,392,352,601,388,629,663,838,731,231,766,699,653,071,895,543,335,560,869,
404,389,888,614,274,896,649,761,445,382,788,324,137,478,332,413,562,639,092,
032,954,007,435,676,616,968,314,591,729,856,924,267,931,685,575,057,160,939,
164,198,329,986,888,627,206,796,038,369,659,561,052,919,385,329,464,012,650,
570,713,887,162,904,791,123,811,553,042,542,567,866,022,244,493,950,613,995,
468,399,171,702,760,060,512,712,301,210,150,240,133,863,065,079,701,489,262,
376,442,638,506,709,697,964,150,748,637,869,366,243,402,807,961,352,242,325,
680,089,630,516,424,557,717,185,361,730,236,131,603,346,437,136,241,202,502,
694,070,820,518,396,412,554,170,020,346,450,326,515,077,116,436,558,353,683,
023,463,917,173,445,326,692,841,542,736,412,384,236,452,767,405,648,804,543,
985,515,893,148,465,498,181,710,934,606,571,833,117,446,156,995,289,578,791,
340,676,093,980,298,008,957,582,039,348,596,871,570,243,494,779,764,118,391,
872,453,117,464,416,961,009,723,028,655,708,371,717,964,785,856,646,791,450,
662,072,442,664,206,896,379,928,591,382,135,435,950,049,638,682,913,006,961,
386,328,017,586,846,601,299,159,702,851,800,581,642,754,845,110,390,269,141,
259,754,894,805,623,993,970,385,178,133,624,151,832,682,476,400,857,595,879,
514,784,404,461,499,253,845,664,004,394,372,535,587,139,426,307,980,304,412,
310,129,885,657,106,456,162,052,935,641,198,857,232,669,999,865,581,093,649,
428,275,983,883,497,973,667,958,435,639,905,825,273,681,694,785,620,599,821,
954,554,913,280,079,481,650,299,648,534,354,665,052,832,226,385,442,735,514,
918,342,835,075,737,207,254,331,624,987,955,115,045,299,875,403,231,957,885,
173,728,008,211,176,454,906,369,091,034,708,278,723,186,253,314,979,056,215,
061,783,434,139,698,985,151,032,830,294,406,634,130,260,058,625,854,692,144,
507,476,935,865,342,142,580,656,743,775,221,882,645,522,106,117,713,927,826,
454,468,991,166,906,594,044,038,902,127,343,992,329,022,548,112,773,375,926,
871,204,560,851,280,872,295,740,627,381,312,369,663,588,368,579,555,611,529,
810,967,039,979,710,347,899,994,264,481,721,579,382,249,573,967,166,989,217,
448,327,966,399,423,725,412,706,155,604,177,873,031,870,171,898,056,333,121,
051,113,189,326,605,866,982,820,715,964,216,076,472,994,470,591,079,301,984,
000,505,897,385,458,832,219,044,202,198,383,865,053,889,043,808,363,663,228,
065,883,380,127,494,577,049,745,238,586,824,512,006,814,667,240,933,963,971,
185,242,323,467,975,339,747,264,922,454,885,828,434,562,487,585,134,932,778,
963,720,872,641,199,644,043,747,965,394,050,187,845,141,154,477,255,411,136,
556,386,087,205,547,964,471,363,520,196,603,838,368,803,954,949,687,954,274,
502,826,421,766,699,622,088,921,438,570,549,080,003,790,432,008,941,051,665,
800,043,505,799,993,933,072,203,094,882,739,556,046,076,181,094,992,302,306,
456,973,145,686,188,541,297,030,173,627,737,551,244,591,846,610,325,761,800,
180,320,863,442,483,347,385,269,920,267,312,567,739,467,546,720,394,033,115,
196,461,358,966,262,438,850,424,328,822,403,906,828,860,275,845,399,487,323,
517,446,698,884,818,980,069,526,131,653,245,663,126,439,456,826,987,338,739,
274,419,737,195,407,892,723,108,769,430,138,376,822,271,804,591,124,530,668,
606,853,560,402,495,375,426,943,956,070,380,112,897,108,547,701,378,887,570,
648,158,461,920,517,084,910,473,795,968,467,055,981,491,642,491,292,145,213,
278,754,290,979,413,961,602,556,679,047,350,263,794,673,256,571,313,148,385,
231,089,329,935,473,159,788,372,311,808,232,167,132,596,363,006,859,598,012,
359,451,044,330,545,944,667,667,392,864,674,891,419,314,999,585,067,690,371,
144,208,473,303,467,644,407,382,154,122,886,158,329,027,277,053,188,551,994,
776,995,494,593,557,726,792,002,112,818,645,372,388,499,854,669,358,939,102,
304,674,078,084,597,566,709,994,705,470,320,283,834,941,522,909,327,028,331,
744,998,027,702,709,181,756,012,538,852,399,098,654,874,187,442,877,413,640,
771,438,489,568,745,146,349,028,787,698,393,436,796,507,970,048,155,258,166,
431,872,726,067,945,415,913,473,492,301,428,708,928,172,640,049,484,662,534,
279,567,751,041,970,761,209,764,643,602,575,966,999,929,526,582,403,540,658,
916,885,139,791,039,614,504,461,557,763,324,883,600,429,121,183,192,888,472,
322,039,532,462,026,767,723,236,853,520,504,187,377,108,692,164,148,114,997,
023,054,381,951,151,205,227,880,533,628,763,400,644,242,794,064,096,886,840,
899,891,466,795,993,713,149,594,830,384,566,155,251,091,765,316,697,249,686,
083,145,394,069,387,421,377,238,792,017,407,744,475,941,066,664,408,848,173,
381,799,741,658,307,519,575,320,826,889,273,206,151,116,167,067,226,209,894,
283,061,152,931,106,993,153,498,836,996,015,150,824,463,892,895,194,779,747,
082,472,573,012,941,525,634,273,357,640,791,273,542,153,564,649,476,746,207,
837,268,027,716,639,259,708,992,488,766,779,659,204,230,523,362,080,690,088,
278,658,031,035,790,459,710,026,657,295,187,968,371,566,327,672,876,503,274,
105,488,763,722,683,209,823,635,193,898,683,141,765,156,737,646,368,513,048,
059,162,853,413,270,414,573,238,694,763,395,356,132,640,733,853,214,226,435,
130,991,007,813,143,126,172,125,988,974,875,960,942,831,800,142,810,907,985,
888,299,402,543,587,455,519,284,340,109,639,033,714,682,868,840,453,522,030,
722,205,664,336,346,490,090,909,158,317,813,048,965,190,546,186,870,790,441,
324,752,846,940,346,130,886,355,062,943,788,019,851,463,349,652,376,560,991,
717,638,559,468,655,431,292,007,977,535,278,169,363,866,555,267,155,486,062,
313,002,813,553,686,770,716,453,361,898,424,084,839,554,903,828,046,691,273,
194,461,698,672,000,567,063,325,968,533,058,586,688,954,831,696,485,775,166,
231,840,750,869,175,819,500,843,755,593,337,823,119,045,781,919,275,507,322,
428,959,793,348,932,206,108,634,753,093,837,482,860,005,755,548,823,101,898,
257,104,882,224,988,351,275,049,871,429,099,950,623,731,028,343,455,037,804,
401,877,964,010,759,315,428,265,485,285,050,487,312,845,712,574,870,750,404,
177,467,516,209,709,483,766,005,729,595,017,093,400,693,046,406,241,288,503,
918,388,269,855,815,824,325,754,136,430,775,150,645,832,003,340,758,216,166,
099,901,466,389,985,838,043,149,162,587,586,458,931,292,658,498,261,793,123,
535,349,804,274,852,817,673,179,861,164,588,791,362,272,205,028,478,592,048,
567,268,193,017,544,275,340,315,722,514,932,025,204,103,829,944,577,562,977,
865,356,858,703,798,607,294,950,839,755,085,102,565,907,585,268,671,228,005,
360,562,094,712,025,659,911,579,373,946,871,510,601,685,606,829,705,919,246,
824,279,196,228,256,404,970,455,227,567,737,249,138,608,480,559,801,322,873,
765,512,500,501,280,733,397,235,921,295,520,394,724,700,551,718,865,345,129,
195,945,548,196,831,425,573,161,189,952,910,481,532,235,953,848,370,641,774,
357,872,675,004,762,659,539,361,851,145,927,110,006,376,721,465,461,445,537,
543,093,948,810,624,423,831,807,053,413,803,648,518,408,469,848,787,797,849,
615,253,205,091,277,965,558,347,496,593,181,850,677,964,595,392,818,549,607,
346,396,358,934,734,623,311,976,314,426,244,045,904,232,300,615,706,521,495,
065,654,893,161,799,908,527,463,072,784,907,733,079,011,340,572,161,575,272,
457,041,931,579,281,121,477,237,074,923,514,894,664,977,493,609,214,479,788,
713,280,730,755,202,214,932,705,020,081,195,135,683,353,330,765,472,128,715,
831,805,344,245,525,116,592,273,750,274,626,078,012,464,985,385,096,087,429,
371,735,385,089,887,084,979,401,310,809,448,162,873,037,350,860,087,636,990,
697,998,431,708,595,948,885,527,710,000,446,774,840,021,556,668,017,561,638,
259,211,583,710,801,241,752,965,309,746,131,332,218,981,244,294,336,622,562,
140,378,598,935,823,807,681,721,764,889,629,958,314,556,522,988,567,260,034,
438,745,180,710,394,836,552,001,783,114,516,993,622,026,401,556,490,177,535,
174,861,066,003,659,177,745,348,448,050,423,476,041,436,977,618,734,598,907,
164,734,010,898,186,455,946,508,730,980,092,306,560,344,246,921,039,247,166,
270,713,241,810,291,399,126,991,551,100,537,148,224,150,060,751,359,761,919,
107,573,692,010,540,515,374,785,365,198,237,156,098,638,411,338,982,379,940,
233,249,774,306,030,071,939,779,417,213,467,485,215,875,343,502,256,642,820,
126,958,107,357,902,982,758,219,884,892,406,466,316,573,344,487,996,373,709,
140,887,193,407,637,724,498,390,043,406,329,275,921,193,376,224,069,496,141,
622,114,891,664,685,082,169,452,255,700,914,234,575,931,407,221,711,862,448,
687,740,336,736,684,814,543,098,624,067,468,131,616,206,989,419,435,523,907,
046,957,416,103,738,297,425,126,914,363,814,099,892,306,204,785,048,332,247,
945,714,426,186,855,886,739,467,677,321,649,999,229,449,075,216,829,439,412,
778,773,262,806,822,282,557,828,210,667,494,587,752,484,668,362,064,194,249,
945,627,899,453,479,626,665,437,695,953,964,066,149,425,161,347,732,683,401,
044,505,186,254,343,372,870,353,343,443,779,609,274,679,242,232,451,922,937,
995,731,923,009,640,468,533,837,175,188,046,363,039,463,284,294,022,042,161,
698,171,851,199,004,620,499,050,661,056,111,229,079,728,077,994,755,588,371,
000,215,139,867,875,819,516,435,116,850,511,687,556,295,881,147,492,691,153,
966,364,066,242,139,577,544,840,328,342,547,198,964,400,718,463,221,654,723,
516,765,125,391,646,994,708,769,290,384,026,405,117,099,481,212,871,130,110,
412,172,111,034,306,711,494,124,854,178,912,638,155,098,610,363,689,732,823,
696,356,588,048,666,720,311,207,625,630,070,054,183,455,125,566,456,722,477,
413,367,645,503,277,235,483,082,331,213,125,270,378,709,103,953,679,184,392,
249,667,308,659,516,027,318,575,101,334,093,306,866,412,599,878,506,733,909,
978,342,311,729,435,778,356,211,238,529,662,430,841,519,601,503,168,110,010,
059,685,769,833,938,351,730,151,715,131,710,301,651,064,643,135,947,214,467,
868,863,188,301,394,586,670,437,015,443,968,114,904,467,011,837,202,961,178,
958,392,548,505,114,541,578,760,323,031,431,899,345,996,657,946,994,562,350,
331,468,716,780,549,559,326,269,974,198,762,591,298,821,882,517,503,049,212,
369,519,816,771,776,319,071,736,337,589,572,138,833,642,455,143,840,723,319,
693,216,877,157,934,854,677,831,548,021,764,427,050,579,226,880,486,712,828,
739,603,465,359,701,954,858,175,002,594,672,659,402,820,918,397,626,844,158,
269,865,374,827,819,251,254,992,119,862,167,476,311,882,019,832,741,515,866,
628,915,658,689,687,762,389,838,658,904,656,134,278,774,341,512,649,918,905,
058,813,199,752,712,990,500,956,569,674,886,918,189,183,516,122,725,870,572,
498,887,320,539,968,494,752,253,478,733,457,141,191,141,055,700,473,949,106,
220,783,369,986,976,180,273,316,363,139,526,840,620,154,796,982,610,975,403,
837,623,897,256,185,302,268,862,215,150,279,847,640,810,313,794,326,664,569,
752,078,534,663,227,897,427,421,287,186,576,579,377,155,449,920,568,313,718,
162,748,406,129,490,895,910,843,335,705,269,492,394,595,759,178,602,518,188,
753,017,201,509,729,648,913,221,365,752,207,457,627,524,737,664,547,213,979,
285,001,929,740,673,703,777,470,726,911,996,373,010,962,008,648,567,865,917,
226,087,994,579,971,293,965,018,894,327,667,143,848,152,702,932,832,704,162,
956,305,945,642,032,080,423,980,922,478,733,482,794,150,305,302,368,927,272,
589,996,477,496,623,665,391,981,374,186,245,082,593,298,736,751,165,962,111,
952,516,472,777,526,694,192,290,759,915,995,331,270,871,525,880,181,946,681,
507,893,823,918,161,997,639,409,418,192,618,291,045,081,310,018,543,758,203,
890,811,180,069,170,115,335,099,884,282,203,532,874,897,383,361,865,614,177,
875,996,981,737,715,150,015,756,323,946,825,544,984,941,647,636,830,080,785,
439,880,326,168,410,297,153,012,017,985,849,578,259,934,316,255,025,784,523,
765,117,474,661,297,171,921,163,699,960,938,785,388,265,832,690,109,789,253,
865,963,527,884,989,310,513,907,897,804,643,606,276,917,545,933,563,116,982,
957,391,100,400,051,758,681,344,159,788,419,064,714,942,073,644,529,663,377,
902,731,223,935,013,763,689,870,763,873,028,364,812,785,444,372,227,062,411,
511,558,059,254,053,545,907,924,648,949,087,764,315,281,543,085,735,225,107,
448,513,591,624,331,202,326,073,865,202,314,786,446,401,466,012,791,918,228,
456,729,105,491,994,261,366,121,127,989,965,979,706,278,094,929,623,759,999,
207,422,862,684,241,036,899,437,244,470,489,023,496,364,467,606,213,793,815,
270,415,140,781,487,039,219,783,287,951,750,015,696,202,629,272,769,507,874,
772,920,250,503,839,736,588,694,848,886,753,671,812,598,309,123,850,919,482,
667,604,369,062,396,898,673,218,546,066,201,728,053,930,781,069,937,772,251,
856,123,441,781,824,116,525,753,480,945,736,378,259,189,303,595,996,610,108,
918,270,552,795,925,046,583,679,920,303,294,098,551,794,087,080,106,247,368,
325,301,649,354,191,755,661,101,912,156,290,645,519,228,309,886,062,106,468,
468,713,108,768,745,920,490,204,532,662,085,859,373,541,460,314,101,148,974,
632,157,453,805,791,163,007,426,601,348,917,641,673,436,822,185,032,942,090,
329,673,894,496,290,723,505,698,238,982,684,092,045,672,030,862,575,715,649,
599,986,747,650,336,583,868,307,824,732,011,465,439,467,133,481,996,968,705,
870,410,305,291,306,927,398,984,669,363,798,631,746,455,221,071,704,397,980,
170,819,017,190,895,539,723,791,888,451,964,884,786,579,009,457,694,847,537,
193,702,120,978,121,010,283,571,495,890,022,692,920,199,844,594,258,926,693,
289,532,852,023,210,626,243,289,955,708,850,039,847,323,134,157,535,341,283,
309,616,814,936,918,325,967,984,973,849,788,620,754,289,110,590,866,944,715,
265,987,054,443,896,981,263,515,398,071,857,039,864,439,094,512,754,236,264,
504,615,886,326,160,213,415,933,503,745,227,042,320,287,496,940,847,850,045,
886,030,725,894,906,896,869,455,841,610,819,226,893,492,352,508,013,246,463,
450,900,930,248,972,256,107,441,267,030,052,197,180,686,647,381,751,428,640,
262,778,796,794,809,552,762,870,349,401,563,757,111,287,214,791,618,726,326,
285,799,045,951,392,854,101,520,789,575,166,554,756,736,771,321,233,202,122,
186,398,945,425,201,050,501,547,653,618,198,833,804,991,427,593,859,531,453,
996,294,920,200,579,344,248,466,899,743,572,752,482,661,022,297,170,494,779,
378,301,442,077,783,006,044,596,537,948,810,944,949,666,176,440,509,387,719,
629,722,025,334,950,047,830,446,141,704,762,260,387,279,321,160,779,945,629,
942,429,510,683,836,637,069,912,658,195,275,603,753,958,504,730,352,032,533,
171,045,080,173,611,344,714,282,130,959,400,729,159,193,649,929,828,355,133,
247,176,087,754,460,447,115,031,565,269,120,798,222,998,745,375,693,977,703,
914,672,060,838,074,978,607,861,541,489,873,686,866,916,146,211,771,515,247,
568,580,704,869,025,276,154,420,385,468,527,316,259,724,063,996,928,138,212,
498,550,310,751,070,806,557,325,987,552,444,855,503,753,657,706,703,183,724,
932,945,400,281,444,545,505,730,236,928,213,173,264,744,603,771,511,499,573,
812,784,189,171,458,227,813,419,843,075,723,755,735,622,999,640,165,759,150,
763,152,633,993,264,915,707,821,690,883,728,021,560,114,249,447,277,170,172,
285,450,107,833,913,897,415,049,248,710,963,738,322,260,335,587,219,127,213,
199,975,173,183,649,858,933,812,480,367,778,831,563,295,625,936,555,338,716,
491,780,111,211,149,583,911,596,847,848,897,962,165,623,895,243,724,612,255,
279,547,630,256,842,123,847,926,140,917,273,989,599,068,069,073,924,280,367,
519,351,024,772,876,752,894,805,616,756,571,396,048,381,833,760,836,672,884,
815,301,479,753,092,953,475,684,770,040,131,591,757,622,379,630,577,747,473,
804,858,200,859,365,074,372,102,826,875,663,859,023,601,477,878,906,589,792,
514,769,622,571,873,530,799,474,360,857,682,449,773,140,432,828,656,642,127,
036,698,243,109,690,870,095,552,675,770,310,322,045,243,980,941,289,805,277,
860,661,073,422,565,279,896,166,612,811,461,685,832,244,952,857,602,562,695,
245,655,078,223,870,245,985,795,885,967,452,433,395,275,500,550,947,586,349,
859,358,964,742,182,886,689,373,425,268,363,134,633,638,093,157,138,237,382,
245,877,013,680,723,048,301,261,936,399,141,975,516,372,272,918,873,782,396,
156,312,903,053,178,340,819,810,217,151,215,210,882,838,601,305,256,880,972,
176,953,511,112,782,021,532,229,260,779,690,401,078,886,703,576,497,670,990,
465,393,838,301,646,519,760,838,480,254,813,712,350,264,671,792,476,980,585,
257,462,435,558,747,531,052,434,955,982,086,591,767,143,893,790,489,868,195,
249,097,314,590,057,530,263,661,193,147,133,080,703,520,827,627,312,179,118,
759,440,546,215,336,606,004,239,017,294,146,261,359,068,870,708,388,661,694,
926,786,269,603,075,526,682,036,617,761,697,330,331,573,458,370,116,976,588,
290,439,033,614,456,917,894,830,251,909,913,428,773,695,516,129,870,179,517,
869,710,314,053,878,286,999,782,064,079,007,561,207,716,958,008,579,626,321,
424,894,008,645,841,913,907,919,497,992,902,163,071,913,623,849,531,920,060,
908,766,998,564,143,761,871,829,996,266,762,342,314,183,306,374,861,084,901,
692,390,135,932,159,748,870,656,143,406,713,429,817,703,382,767,129,731,725,
525,993,594,882,881,973,909,002,324,125,280,138,040,870,559,812,068,470,706,
952,244,918,710,630,104,347,647,596,578,465,656,605,353,544,271,647,883,196,
145,520,977,307,245,423,607,673,588,936,198,843,194,289,886,954,872,074,269,
426,707,707,596,902,709,009,796,765,283,405,519,338,665,564,362,167,512,503,
350,242,515,974,525,534,491,433,299,246,774,174,283,499,439,551,567,289,972,
751,113,541,278,590,148,476,633,390,484,768,748,670,504,362,958,940,479,713,
783,252,268,552,490,813,493,551,073,167,767,272,887,104,859,251,544,430,720,
228,475,247,005,382,339,906,730,806,201,187,318,707,761,121,896,662,824,716,
759,778,138,114,863,477,037,101,978,771,830,027,514,716,885,711,968,229,556,
226,953,569,237,449,112,428,331,332,551,412,667,538,722,292,147,130,345,953,
236,614,654,036,423,972,843,381,930,197,374,187,260,100,271,570,494,509,004,
306,582,019,809,860,746,683,974,405,256,306,831,922,852,333,372,965,815,431,
387,026,460,609,596,537,188,920,450,103,477,809,364,550,766,959,977,708,722,
607,957,176,622,513,763,854,177,568,417,858,008,038,274,663,623,912,376,524,
893,807,302,934,115,306,281,237,832,205,417,679,680,054,657,889,455,948,701,
267,682,615,556,036,830,637,489,463,112,389,371,897,417,981,794,489,196,532,
034,560,022,527,657,350,947,444,637,164,532,358,264,234,773,855,343,564,660,
890,677,932,125,120,137,373,126,782,058,422,817,786,645,494,946,781,969,151,
656,121,471,053,297,976,499,153,220,997,823,813,638,715,427,425,013,251,289,
772,567,540,128,198,626,240,893,845,079,964,289,870,047,860,130,760,843,655,
048,743,442,265,914,504,962,578,471,645,583,201,288,158,998,391,775,925,250,
661,109,062,179,689,888,352,889,212,454,622,081,436,058,775,187,513,429,909,
334,525,960,145,626,758,934,144,073,257,560,574,004,139,816,073,345,245,009,
969,714,660,873,898,427,342,586,814,872,585,922,546,539,857,754,252,560,994,
771,476,618,306,680,650,785,639,261,015,583,315,537,793,068,877,670,332,572,
655,268,078,269,199,432,857,721,915,416,248,810,716,128,138,334,308,268,549,
319,962,356,188,654,553,906,780,256,421,076,883,289,821,608,871,103,961,969,
042,645,269,387,301,540,242,893,694,251,314,874,264,942,484,052,017,860,385,
924,326,338,319,403,612,374,468,556,422,356,418,283,178,118,206,499,217,803,
185,701,601,002,581,568,395,681,810,471,996,233,596,737,908,552,386,771,450,
024,414,916,176,899,544,278,519,617,122,594,198,394,984,085,367,317,507,935,
603,608,556,916,977,865,665,601,887,176,762,034,460,023,174,535,610,095,319,
747,140,202,125,015,278,905,205,989,134,992,807,478,052,798,270,994,567,434,
130,087,237,213,458,189,236,771,173,075,791,885,912,607,021,938,704,154,135,
514,248,203,286,278,965,065,436,886,656,353,110,418,975,805,025,134,657,680,
403,104,601,082,984,636,624,266,387,774,867,943,669,381,170,209,902,780,139,
323,379,291,708,458,073,438,417,432,432,396,440,934,335,668,559,731,090,547,
766,239,940,726,278,768,656,178,350,674,186,881,635,721,187,652,772,296,323,
924,222,360,319,794,888,404,427,370,602,365,331,999,500,408,589,283,645,597,
509,543,344,202,201,744,554,318,564,747,496,170,305,981,084,295,013,122,084,
805,059,096,299,711,848,957,858,347,038,160,431,789,089,661,247,506,296,795,
058,684,147,702,679,463,823,839,811,697,679,456,714,357,740,971,267,050,647,
596,673,975,122,784,132,902,566,685,157,342,236,478,113,902,904,638,631,979,
837,934,815,016,432,405,965,653,985,155,373,547,541,318,067,423,431,049,045,
363,575,945,965,501,675,291,556,915,068,508,318,146,394,337,559,023,730,912,
840,052,198,162,845,766,583,776,183,304,330,995,915,481,633,967,637,240,662,
268,000,250,676,004,355,633,234,743,275,998,456,528,097,794,557,207,242,848,
606,797,563,320,810,817,351,638,833,135,566,389,492,566,960,435,366,495,931,
107,479,489,571,815,173,261,597,405,407,855,421,415,449,867,082,205,914,730,
423,472,395,116,199,742,716,294,665,050,874,777,732,941,138,855,814,714,463,
483,032,970,987,190,063,338,551,943,959,092,968,976,046,069,201,868,037,403,
625,235,856,127,566,381,388,812,077,752,779,027,295,742,869,665,779,955,490,
330,754,149,559,570,425,936,213,021,516,029,505,687,025,626,591,411,983,973,
770,565,497,343,131,752,378,967,655,759,517,343,178,394,096,388,929,895,638,
384,248,844,042,880,645,817,822,044,691,409,763,030,684,505,266,553,828,903,
175,653,769,447,041,850,339,479,781,701,682,237,063,099,390,540,907,786,107,
757,224,523,091,639,542,369,709,197,404,575,855,852,985,725,806,140,636,716,
038,587,984,820,589,049,053,220,682,704,337,018,006,350,489,440,880,226,395,
431,827,039,201,124,533,717,683,039,695,174,188,381,251,406,026,793,655,382,
488,128,577,280,767,000,714,753,351,694,742,278,324,987,741,833,097,355,333,
816,397,429,363,088,750,890,614,005,825,365,314,191,853,450,850,412,850,119,
684,969,921,481,787,682,630,963,850,707,919,078,844,651,517,149,740,283,576,
186,752,641,090,373,848,713,211,252,368,980,730,176,983,402,901,538,609,147,
713,863,486,556,878,857,560,346,801,533,701,037,648,536,157,000,862,211,453,
633,213,103,185,135,314,592,413,553,987,492,457,248,324,931,041,888,998,229,
084,816,674,249,405,034,860,420,369,015,334,900,477,118,997,283,964,024,789,
565,187,087,007,816,964,572,839,307,796,977,551,220,447,970,729,774,456,857,
513,704,284,303,282,746,847,093,336,270,685,656,365,367,593,504,719,168,139,
060,373,064,102,562,646,489,038,345,546,482,849,727,657,937,949,473,279,580,
903,461,355,131,907,897,610,415,489,501,026,833,670,996,128,649,503,161,350,
606,102,208,765,059,355,046,487,382,767,075,247,498,386,756,437,166,237,106,
032,245,918,374,432,303,880,431,994,729,483,634,072,437,963,126,109,889,487,
276,813,484,121,979,300,567,600,153,977,569,696,006,563,083,569,786,091,361,
064,072,048,485,801,593,210,479,915,283,469,136,221,268,656,273,246,255,232,
214,001,396,150,564,193,753,237,580,857,462,495,472,023,656,812,450,792,688,
514,662,760,521,589,521,120,186,881,083,894,105,871,462,615,226,256,660,969,
576,753,255,749,980,251,995,745,250,961,089,119,292,533,141,829,517,846,272,
999,996,107,795,571,840,274,844,157,518,413,273,844,404,385,667,913,280,270,
572,449,389,878,902,268,305,737,898,827,723,175,349,383,142,636,834,528,605,
425,810,921,953,655,249,761,895,313,420,327,501,977,552,093,295,747,589,132,
485,978,156,462,847,740,984,913,763,414,493,335,787,123,845,960,489,826,788,
461,899,025,449,203,175,462,447,193,135,614,970,903,874,166,530,190,102,230,
415,737,554,507,277,216,339,026,997,913,736,655,710,823,473,172,451,759,216,
304,304,533,232,859,517,260,203,767,981,033,408,896,193,336,348,893,297,185,
969,091,734,651,391,064,674,813,807,098,610,648,930,741,994,721,353,875,610,
581,841,380,982,925,695,323,619,192,646,569,083,566,184,790,868,669,422,337,
355,848,573,272,234,113,787,514,578,287,085,840,555,454,077,063,275,449,519,
056,637,217,534,490,769,833,039,092,770,180,390,633,400,611,083,030,076,766,
849,381,146,858,364,826,786,406,861,907,653,453,885,383,919,925,279,402,346,
008,699,973,258,093,434,403,203,755,053,545,160,250,241,000,866,418,761,416,
582,390,649,106,329,886,314,588,170,930,058,341,839,391,234,079,706,000,427,
152,547,947,347,729,465,252,900,922,140,304,462,682,630,603,427,309,004,358,
806,672,932,333,329,164,969,837,424,574,223,675,497,887,488,505,729,358,307,
289,632,293,321,940,485,457,970,792,056,538,030,552,145,400,954,146,670,303,
916,354,411,541,224,705,268,024,849,454,254,349,538,746,308,958,689,468,569,
462,330,113,251,964,145,554,889,031,863,288,476,892,922,867,638,672,695,527,
762,192,015,399,297,075,970,355,514,231,732,472,962,914,448,430,363,347,061,
081,057,100,717,083,000,666,201,647,115,522,462,578,810,897,845,423,129,804,
706,199,664,071,922,449,716,345,125,057,570,818,871,710,150,623,186,658,278,
292,528,825,844,778,428,482,358,715,002,421,792,304,156,714,812,023,570,277,
205,690,205,925,528,787,096,698,978,542,076,827,420,503,147,935,513,330,803,
677,038,960,700,722,813,790,669,922,784,729,785,418,053,063,239,407,069,967,
647,264,494,278,654,437,948,452,107,091,453,196,654,213,301,761,751,083,355,
357,699,583,411,374,194,992,485,118,460,820,286,703,075,370,902,613,289,968,
953,824,458,596,921,721,004,027,634,620,399,704,004,335,506,074,815,234,186,
898,862,660,582,940,433,280,563,086,488,894,260,123,703,195,674,788,325,668,
508,182,279,828,600,291,244,053,060,754,662,275,319,173,268,391,189,374,731,
153,066,653,779,198,861,651,866,033,250,489,902,679,074,825,440,637,799,956,
582,277,423,935,527,207,094,254,029,052,911,294,000,558,880,839,444,650,453,
610,723,016,621,065,099,309,495,265,721,192,236,821,770,021,225,071,110,923,
038,639,447,125,269,015,508,501,443,526,789,525,190,073,482,593,128,252,699,
153,439,532,729,775,235,713,731,586,119,316,609,494,172,529,072,833,629,001,
628,270,664,882,543,554,415,204,441,539,428,510,658,342,265,250,871,336,516,
832,592,530,719,153,481,330,477,388,902,798,911,246,412,549,690,312,347,913,
184,209,429,224,765,397,748,536,822,796,331,792,675,245,431,754,908,816,728,
651,112,421,024,203,364,457,342,804,247,112,931,746,301,481,950,256,588,100,
882,953,972,516,760,837,122,338,682,852,557,188,984,817,142,678,073,169,128,
863,222,148,888,830,782,361,463,541,827,578,488,917,755,090,782,790,162,091,
549,902,279,868,065,690,150,140,980,256,519,527,112,552,600,878,551,333,394,
473,372,749,615,983,083,640,442,105,692,654,876,038,190,186,485,326,601,229,
597,449,672,579,377,325,931,899,889,432,546,761,100,275,398,351,860,168,535,
051,291,995,000,975,464,979,055,592,944,301,318,008,218,070,137,651,250,269,
288,130,093,011,061,050,626,164,340,634,633,814,841,799,494,306,935,760,175,
468,549,200,612,958,021,470,058,734,013,215,221,831,187,827,198,860,190,473,
271,285,151,022,592,854,806,420,738,705,035,714,709,370,050,480,321,770,029,
765,854,615,457,774,093,654,255,868,716,239,001,018,007,092,989,934,956,086,
911,458,497,487,120,412,359,137,593,852,269,468,531,212,498,326,549,520,608,
023,841,821,581,832,456,134,789,341,326,403,060,555,640,545,614,780,206,251,
333,620,163,794,723,721,637,737,137,432,748,428,810,709,663,588,857,160,647,
525,560,135,024,127,376,126,881,457,195,249,533,258,213,681,049,082,121,792,
981,067,306,952,725,913,612,185,763,306,996,658,645,922,700,164,260,898,678,
287,250,664,475,858,252,006,655,632,061,502,387,557,843,861,852,069,511,148,
255,249,656,498,204,325,833,881,730,650,573,942,544,278,070,658,843,638,627,
693,670,957,681,625,199,614,379,754,175,546,564,401,586,101,299,143,935,907,
990,618,523,717,562,557,251,271,295,023,813,502,672,927,987,701,382,827,206,
757,885,363,705,100,605,884,342,509,864,113,155,022,699,441,244,524,853,009,
282,048,460,184,173,355,133,316,258,264,115,923,263,606,304,976,554,886,141,
718,735,871,392,417,140,336,622,897,707,683,718,731,566,471,959,401,457,865,
753,637,065,175,057,790,713,128,222,848,832,496,488,392,609,610,416,715,627,
123,000,719,775,098,938,282,471,479,209,007,670,507,155,307,036,418,191,186,
074,554,512,932,597,915,006,398,973,612,929,069,101,253,313,192,112,981,439,
478,534,642,656,918,441,285,045,598,552,809,938,275,294,182,356,619,552,645,
142,590,664,340,348,875,678,993,743,476,496,383,075,284,990,919,994,318,485,
405,725,707,223,585,879,282,096,758,685,787,769,822,716,749,728,666,458,429,
726,560,851,171,609,517,561,121,515,374,673,828,363,548,172,526,443,593,404,
695,101,254,214,140,778,727,958,153,482,924,160,613,422,984,984,375,419,040,
286,577,244,110,637,968,077,687,238,847,707,824,957,884,724,550,979,357,742,
008,298,905,933,092,615,197,732,648,363,285,468,789,041,097,984,367,777,914,
669,683,492,877,236,063,542,745,033,397,601,009,277,050,124,280,895,879,544,
683,744,284,225,543,022,760,931,409,121,396,927,957,743,970,686,066,769,789,
669,617,160,606,820,350,591,155,220,004,179,433,482,419,582,131,720,665,642,
512,136,735,659,624,907,270,170,741,364,860,405,390,832,658,258,366,522,484,
364,601,781,838,780,995,609,364,532,245,682,196,345,512,957,213,468,259,858,
232,962,377,301,400,161,547,203,315,313,341,724,460,948,977,664,429,785,417,
631,068,158,007,142,302,384,989,302,096,806,404,807,018,720,739,537,163,351,
527,434,237,686,576,655,157,783,719,126,402,468,274,735,146,028,076,069,667,
537,230,258,769,725,129,686,614,483,251,970,351,630,965,923,665,161,207,062,
427,613,671,121,637,145,780,708,232,332,594,833,478,116,741,485,686,013,094,
433,764,857,478,967,439,347,848,490,328,259,713,608,822,232,465,905,162,541,
279,057,235,085,971,524,016,082,011,515,718,392,584,461,486,756,661,876,307,
937,532,107,011,523,597,510,424,230,104,932,637,979,265,556,175,262,867,305,
963,597,579,455,750,206,429,253,942,622,693,746,474,743,189,019,330,032,600,
156,703,870,929,124,523,162,637,659,860,307,292,737,363,351,431,782,494,471,
783,781,952,575,229,437,278,729,727,797,925,368,357,077,218,217,396,327,995,
975,265,407,639,221,534,897,588,268,696,377,056,416,624,615,967,373,400,906,
865,999,526,814,969,057,982,343,387,795,780,212,736,009,437,874,969,102,556,
757,599,132,549,362,966,527,077,328,305,472,696,409,467,008,942,371,480,441,
814,640,396,232,642,749,226,387,305,554,818,634,120,335,383,735,357,766,983,
939,035,259,929,760,974,449,083,658,289,555,892,932,189,960,559,469,833,670,
665,480,469,508,069,624,796,105,950,027,772,861,268,339,132,604,350,753,203,
651,231,077,200,234,660,047,494,129,962,739,946,664,197,413,528,540,363,549,
928,289,427,308,881,311,904,617,937,207,444,296,644,612,825,774,482,477,734,
368,728,008,932,692,708,308,874,746,943,878,192,798,122,579,922,675,927,194,
899,558,102,360,941,824,773,946,147,831,960,506,305,484,014,902,315,229,368,
413,645,209,019,646,724,911,799,163,794,382,893,376,439,276,057,732,149,555,
208,952,133,951,464,188,204,757,637,881,463,727,665,081,461,627,083,252,747,
054,776,206,244,228,832,951,663,369,542,903,171,206,157,485,034,386,162,519,
446,626,450,696,385,446,194,724,336,283,476,905,316,942,706,782,237,684,720,
564,907,117,450,358,344,942,626,341,744,226,849,968,624,574,370,108,479,080,
621,496,852,523,923,417,308,856,504,699,316,281,948,858,438,608,773,794,010,
260,143,109,326,563,154,069,841,971,849,829,534,218,580,519,066,330,717,879,
539,005,496,777,157,996,769,587,116,088,000,074,997,763,480,837,509,339,876,
505,930,629,582,929,720,543,610,169,059,109,616,365,038,361,856,630,040,055,
753,293,861,671,512,027,622,506,495,354,441,216,607,118,623,660,974,776,269,
788,089,932,820,447,074,944,171,964,712,616,613,672,528,597,845,440,029,455,
607,710,431,474,344,477,330,147,447,004,436,167,950,222,736,371,504,848,143,
057,058,075,248,671,114,678,988,569,242,167,240,511,718,254,158,292,605,110,
190,438,216,934,515,375,459,711,022,947,105,214,941,227,537,609,440,520,449,
613,543,200,301,619,002,807,323,802,899,223,731,407,377,059,122,227,662,571,
459,248,503,100,385,951,082,429,304,043,854,632,429,812,128,800,247,492,093,
153,801,737,219,132,713,666,587,425,857,078,026,138,082,833,952,272,445,710,
202,895,056,870,479,386,617,261,366,405,684,052,511,228,952,331,738,286,235,
802,765,858,863,516,442,096,156,589,293,345,822,996,698,798,716,806,287,189,
884,304,331,726,746,154,659,791,647,308,033,048,242,064,871,854,131,722,267,
457,423,788,581,808,941,073,857,649,328,623,753,162,259,570,489,751,095,679,
462,937,067,045,257,068,873,491,562,088,283,663,014,862,567,025,341,175,005,
393,248,529,119,850,905,276,038,489,414,268,410,326,977,895,975,298,800,075,
572,989,178,053,357,001,135,242,824,272,338,616,552,409,077,859,079,328,041,
164,931,603,855,270,646,638,376,855,380,138,147,425,766,691,944,112,083,172,
226,782,451,762,325,594,400,803,230,317,238,151,100,912,842,499,217,085,616,
740,516,026,389,556,562,360,102,181,563,938,461,052,419,965,850,712,456,617,
566,239,701,538,664,731,955,547,633,831,086,991,877,391,305,861,548,582,356,
401,290,768,486,602,230,578,546,262,166,785,714,693,040,181,236,078,407,961,
515,035,339,971,182,463,136,690,561,316,485,379,957,849,651,886,941,147,456,
034,148,857,656,906,739,640,092,731,495,859,001,561,759,639,935,684,533,483,
938,735,439,108,130,214,784,799,380,382,947,540,563,799,458,764,712,264,931,
921,422,510,550,603,285,116,492,747,545,006,549,240,598,877,134,340,391,228,
520,097,912,030,703,858,540,334,704,495,726,405,014,767,735,799,025,111,533,
543,685,909,968,042,467,451,033,424,971,255,929,755,812,475,667,791,046,013,
345,846,524,025,196,177,716,536,933,448,939,972,244,800,277,866,577,806,589,
677,774,722,584,052,330,774,631,190,574,871,153,290,587,555,165,444,882,904,
347,684,945,281,554,454,414,327,944,099,712,196,913,073,652,626,842,297,212,
176,988,535,969,468,733,964,836,806,087,411,867,190,574,037,350,254,840,626,
496,898,846,450,065,991,879,908,096,054,027,251,948,989,909,757,282,374,585,
926,668,090,827,221,926,926,837,111,970,154,295,693,246,899,576,334,511,182,
206,764,052,166,476,802,607,335,928,957,450,990,633,479,751,817,671,571,509,
319,068,630,689,326,189,671,405,955,615,265,048,287,158,422,810,540,095,772,
973,353,647,967,364,745,147,338,466,152,256,845,111,613,915,949,674,408,550,
782,627,565,817,622,647,191,004,258,627,799,650,419,051,534,698,230,714,913,
199,887,095,147,041,237,889,529,115,649,237,930,073,140,204,693,812,032,913,
125,296,652,595,957,139,801,407,661,774,215,980,200,460,803,567,967,459,756,
904,581,977,270,315,573,431,643,398,429,724,074,288,202,111,337,778,999,898,
619,925,799,910,907,664,885,805,803,194,502,640,615,293,220,552,649,252,198,
397,941,530,053,063,747,288,400,032,936,659,456,149,010,530,572,622,293,528,
694,559,084,818,063,766,378,749,712,128,450,463,245,317,392,784,305,770,472,
132,195,409,451,034,184,585,249,995,110,293,115,022,598,443,502,244,546,161,
778,227,168,644,324,915,049,099,747,856,976,807,187,151,879,595,861,403,624,
084,441,269,323,290,414,941,146,912,742,427,548,932,735,693,998,470,862,917,
882,675,722,678,208,118,995,527,187,171,240,220,130,967,872,036,687,267,147,
161,646,584,684,814,752,437,613,197,041,721,075,738,494,277,394,212,187,994,
686,579,183,721,596,696,269,058,415,466,632,228,848,335,770,823,395,303,662,
804,779,143,329,983,051,405,246,987,067,447,162,141,352,505,200,428,902,197,
817,117,964,561,327,620,163,330,888,157,501,638,771,357,748,297,126,339,084,
724,622,547,443,298,228,368,831,532,967,969,380,152,970,862,888,481,066,250,
216,611,537,716,690,792,089,216,066,890,941,732,113,676,747,676,364,439,203,
830,554,690,667,360,616,630,999,635,397,478,662,767,142,980,950,766,691,079,
350,477,298,558,080,772,969,699,672,344,621,309,464,045,765,285,397,962,905,
363,374,321,051,154,623,646,486,987,906,954,114,532,684,428,131,377,313,304,
356,730,563,885,050,220,564,711,834,823,116,409,948,163,319,725,846,164,283,
388,931,900,471,226,233,743,735,968,597,115,910,046,200,543,883,434,698,112,
060,521,434,331,739,399,425,527,537,213,474,863,559,431,438,359,527,323,442,
744,345,942,245,329,097,150,850,421,234,928,098,048,772,452,027,359,381,157,
667,966,118,105,606,256,338,502,240,005,295,082,313,254,235,309,452,092,159,
713,587,136,796,722,181,286,287,738,179,719,965,278,729,679,839,176,815,484,
410,019,780,878,723,177,459,637,426,868,880,444,807,596,613,757,992,805,597,
312,980,929,016,011,083,469,177,090,557,204,508,069,813,555,733,860,655,674,
452,107,906,638,384,319,978,827,080,160,757,550,282,825,161,341,637,399,986,
929,072,604,454,102,611,181,170,471,605,826,053,889,780,751,369,729,911,565,
189,613,004,787,895,701,766,912,425,312,308,547,232,013,856,177,061,268,530,
587,261,224,257,613,047,276,839,615,873,379,942,550,915,837,083,743,529,444,
148,817,986,699,212,773,847,854,226,695,411,313,683,216,879,379,554,535,927,
881,183,541,444,897,120,016,039,808,729,379,766,121,040,249,732,101,860,678,
440,596,419,696,486,700,388,885,957,255,673,333,876,382,272,279,246,134,338,
658,859,355,044,258,660,785,850,209,168,680,255,582,407,143,582,381,146,988,
770,804,726,894,511,659,630,299,178,114,026,306,908,274,838,213,268,573,097,
865,947,761,087,751,428,348,558,677,168,225,525,211,013,372,442,862,540,567,
437,876,100,268,549,158,941,791,568,601,106,661,684,672,681,612,801,855,375,
626,517,099,554,656,227,949,091,969,493,346,206,287,064,705,552,665,677,164,
026,073,195,284,068,371,676,412,742,220,624,305,693,201,256,641,352,840,799,
529,027,623,742,274,645,357,451,383,939,328,154,022,481,716,547,746,974,828,
377,059,815,221,971,914,334,116,537,015,196,294,709,100,533,238,457,826,877,
448,278,246,004,396,023,894,617,527,302,068,703,570,001,325,061,045,114,062,
455,730,041,181,889,406,575,804,209,594,855,231,261,751,539,857,947,552,767,
668,242,592,279,192,615,352,748,841,321,917,567,581,352,285,328,593,047,337,
278,466,757,625,767,780,908,691,499,382,791,281,828,451,331,819,468,308,992,
622,309,632,811,449,193,273,318,413,376,808,210,597,345,185,515,439,103,890,
371,100,175,931,812,176,225,096,846,535,978,899,012,612,378,736,706,302,434,
955,669,427,275,784,354,862,051,166,772,352,748,838,577,852,292,701,739,816,
392,812,995,666,719,980,904,839,867,361,513,678,938,615,101,527,604,026,813,
719,363,282,818,406,396,148,952,351,596,016,989,065,022,948,089,167,587,544,
110,663,811,938,180,751,055,950,096,687,916,035,173,070,064,702,911,029,555,
575,037,529,537,749,984,146,732,986,047,097,196,068,695,955,883,607,721,190,
200,722,084,994,168,388,058,785,453,971,004,857,176,056,251,527,532,022,938,
187,098,898,781,196,857,442,650,955,857,749,123,651,859,666,531,176,190,819,
692,135,627,337,662,991,092,306,440,532,876,306,777,686,438,963,445,854,558,
737,306,766,172,826,883,849,129,691,403,782,935,539,834,964,915,964,585,956,
548,208,859,550,050,061,350,777,270,085,742,457,139,548,793,471,625,205,292,
032,459,590,420,183,314,062,697,108,491,914,525,000,789,805,786,055,699,700,
342,851,711,861,497,284,593,100,312,680,238,788,154,864,603,544,031,611,702,
431,434,623,770,851,728,298,933,653,741,088,430,239,881,966,879,058,576,017,
901,221,181,080,939,112,072,683,637,993,099,918,573,856,091,567,433,549,071,
811,129,706,565,940,236,562,231,228,197,611,647,354,997,405,279,695,241,153,
370,752,435,623,530,736,217,796,466,888,188,025,740,743,146,474,338,245,520,
495,713,113,547,716,260,438,816,223,377,463,214,782,215,104,710,676,691,460,
025,113,174,920,108,124,040,887,521,527,403,980,747,750,256,664,313,499,617,
290,531,208,173,700,713,785,298,322,226,330,317,816,993,360,394,981,177,616,
958,152,157,598,726,463,205,815,261,505,683,971,434,398,967,561,572,415,777,
587,833,739,929,400,795,893,581,820,341,060,680,186,840,673,894,944,660,925,
632,205,764,691,005,913,437,207,806,664,612,272,178,851,694,172,003,420,689,
037,756,037,733,756,615,675,844,359,134,999,191,970,980,794,037,645,306,269,
644,989,633,729,459,246,458,517,814,773,709,152,903,300,372,619,669,387,325,
696,010,140,741,382,616,996,109,599,405,489,952,235,284,862,635,212,626,833,
781,868,321,900,354,982,281,450,344,347,082,499,142,098,958,939,072,558,461,
279,818,796,831,306,037,128,128,069,772,147,835,922,422,576,228,892,935,184,
445,690,409,724,114,240,214,065,924,084,235,696,358,837,337,728,614,881,622,
234,191,078,535,450,258,064,681,648,066,021,712,043,304,924,992,045,511,501,
556,932,280,037,906,107,101,092,714,562,275,862,913,498,940,368,449,231,959,
393,543,026,534,903,112,960,817,842,788,490,600,319,559,574,249,254,434,844,
710,996,822,276,244,256,084,069,014,348,327,420,083,069,134,768,234,167,837,
394,171,629,915,282,680,357,422,647,429,146,987,007,542,158,801,729,022,497,
772,749,033,019,140,307,644,191,991,011,564,353,355,604,018,592,379,775,373,
645,742,713,928,222,217,353,046,929,990,447,743,063,401,497,005,230,978,634,
140,189,628,717,630,321,953,749,667,548,716,192,725,272,825,304,048,294,942,
636,060,974,857,570,282,044,162,420,475,403,775,632,605,514,996,203,217,409,
596,937,966,920,900,639,600,195,591,468,782,177,746,131,975,724,670,061,132,
894,225,491,640,841,552,917,103,073,846,589,203,063,496,752,505,024,871,764,
991,225,306,553,351,106,458,463,686,143,466,549,847,345,071,288,826,207,863,
457,475,036,132,911,815,697,450,560,377,239,239,491,481,171,384,758,736,926,
546,165,638,388,332,276,971,047,768,487,969,379,197,889,918,539,083,748,405,
975,092,399,535,972,847,233,148,331,077,181,575,095,238,015,817,051,795,320,
183,552,826,153,263,022,044,039,250,235,397,080,190,398,916,118,850,519,815,
459,330,974,452,642,557,736,230,672,099,663,470,195,819,116,320,500,184,011,
934,739,091,948,523,159,694,653,867,116,771,056,491,584,840,074,882,393,168,
366,780,178,066,505,845,337,815,403,325,042,205,573,957,153,287,145,468,389,
125,457,154,196,243,235,548,112,004,204,097,783,072,533,319,852,965,194,859,
167,363,046,539,415,511,651,363,259,277,801,908,909,484,358,072,991,366,655,
958,500,373,669,087,081,068,674,061,358,212,933,977,807,508,018,870,451,135,
553,926,047,810,876,686,151,023,008,502,525,899,381,073,382,038,821,591,233,
114,762,254,909,711,881,454,966,434,127,817,444,660,886,616,713,423,420,233,
241,865,775,264,733,371,694,915,907,629,643,502,044,835,931,222,838,511,984,
357,668,229,081,733,161,876,451,524,142,661,415,159,017,893,207,903,754,933,
969,354,176,518,423,289,762,797,438,823,582,291,917,967,781,593,367,210,737,
054,895,958,764,123,636,469,264,323,094,706,254,414,954,354,832,893,797,405,
514,316,504,125,337,455,406,914,934,351,746,915,623,140,876,637,185,609,633,
595,683,153,223,162,038,978,810,222,460,613,391,870,195,582,361,643,247,339,
259,038,802,377,570,787,457,205,999,545,777,393,148,258,643,035,331,620,765,
323,054,132,541,950,147,793,722,431,032,899,209,505,487,717,212,738,085,282,
512,578,341,779,398,247,690,383,462,830,834,476,637,832,475,797,392,694,870,
051,045,273,101,783,071,459,668,060,691,146,269,919,064,659,922,236,985,777,
215,284,193,949,758,941,604,168,070,670,846,424,069,305,491,851,486,323,589,
935,962,513,179,609,221,112,044,449,153,423,688,338,842,332,719,944,775,104,
425,823,128,009,515,318,479,126,678,307,395,428,558,772,379,833,503,590,881,
742,223,556,667,829,571,942,509,008,221,874,799,265,915,662,907,580,237,667,
325,925,028,711,056,856,143,091,763,179,862,061,310,928,069,487,943,157,802,
160,132,408,318,345,174,209,910,114,650,752,411,631,694,639,384,804,872,292,
412,724,309,250,781,438,879,248,179,774,387,077,081,060,673,650,299,124,043,
675,251,276,920,040,156,266,361,910,140,396,639,884,122,611,687,313,030,759,
086,691,025,211,213,568,491,421,376,607,937,520,102,225,229,064,467,336,914,
539,160,469,059,316,985,018,922,471,535,297,891,958,840,812,161,708,802,414,
980,345,173,700,675,756,791,183,604,541,155,670,689,028,981,743,070,850,859,
036,306,505,989,135,678,071,025,996,798,061,528,468,021,179,261,412,219,313,
683,119,860,837,694,648,246,244,839,063,733,790,060,840,367,488,223,532,443,
633,578,687,953,956,977,394,942,163,511,063,880,962,028,874,619,964,972,522,
898,451,413,560,495,721,260,848,800,883,886,728,451,693,512,614,915,997,936,
800,893,398,834,801,299,026,019,825,399,223,911,248,517,981,670,341,556,091,
814,859,123,763,720,949,044,901,953,594,311,794,845,269,801,480,770,680,486,
413,468,368,087,217,412,157,975,978,099,431,140,582,311,768,963,905,310,609,
465,707,817,854,635,514,889,992,555,990,862,759,029,852,609,360,784,116,592,
867,866,360,122,406,584,115,447,354,359,599,661,181,043,995,348,946,063,853,
094,580,468,710,102,953,415,076,725,027,006,781,749,349,049,369,300,359,933,
957,191,311,628,732,714,117,775,683,801,543,696,844,529,374,769,093,090,320,
643,021,779,104,202,415,650,696,962,148,008,953,769,367,190,769,009,649,602,
199,768,446,842,346,592,337,087,367,870,654,653,318,199,283,357,659,309,204,
741,684,483,913,163,888,742,765,497,224,452,962,711,162,731,063,898,210,810,
733,780,433,056,413,562,774,150,476,524,142,414,602,345,075,033,790,014,656,
439,097,330,259,747,856,279,432,608,803,877,044,541,059,680,394,322,484,692,
736,996,681,012,570,634,972,590,431,344,619,146,073,709,860,585,411,098,000,
659,157,953,859,955,370,224,140,605,579,986,836,114,236,770,909,846,259,955,
091,664,243,627,602,445,904,535,369,837,664,827,325,951,233,706,901,756,336,
582,637,252,699,296,512,794,454,252,609,521,822,291,211,999,610,940,210,645,
751,168,749,035,951,765,216,511,016,585,155,649,392,236,013,842,333,505,967,
042,249,266,111,977,592,032,208,006,768,462,691,393,678,161,931,865,892,243,
035,324,665,124,979,203,606,462,299,034,026,365,263,939,778,059,245,995,375,
011,532,690,409,946,046,857,223,948,581,446,506,032,284,942,614,256,088,390,
826,449,375,549,730,734,187,412,927,432,419,367,247,044,997,433,741,669,470,
613,682,269,109,536,226,683,522,240,041,825,970,215,362,482,527,404,329,457,
969,952,518,769,732,006,140,491,432,620,440,851,712,107,678,737,226,251,999,
137,557,312,738,218,908,065,901,843,072,401,163,910,673,979,058,651,668,478,
786,459,917,871,977,395,644,492,073,951,014,612,640,632,898,773,627,375,730,
578,585,534,629,901,406,161,818,594,862,184,881,582,232,670,547,529,849,618,
424,830,465,290,811,578,319,132,726,046,438,561,873,933,579,195,836,667,797,
707,767,748,925,221,367,490,134,328,576,085,770,447,475,279,871,453,039,027,
935,416,792,212,337,603,683,159,403,902,736,882,346,215,669,360,901,903,759,
870,768,144,135,167,297,681,049,115,024,388,241,271,223,939,890,930,781,219,
279,828,304,941,561,783,960,643,535,898,483,483,654,087,101,608,178,598,812,
132,618,436,577,493,207,132,028,658,591,730,649,580,256,930,794,103,791,834,
244,758,791,724,716,138,060,437,734,227,917,025,230,120,051,375,923,592,147,
129,324,690,467,499,339,280,396,080,945,636,139,296,961,470,501,928,416,369,
775,010,854,037,565,419,862,979,177,107,830,297,038,285,010,023,795,853,096,
525,188,395,848,499,138,076,356,646,000,096,874,776,241,786,437,405,694,020,
576,794,887,797,900,529,244,660,100,543,550,064,470,545,235,890,368,698,520,
530,524,906,739,407,205,963,793,026,723,897,361,817,460,101,827,748,130,259,
971,939,301,601,832,606,858,409,436,861,138,029,930,004,647,660,150,615,690,
743,329,379,454,912,641,326,962,768,545,685,013,780,439,540,586,843,803,523,
490,290,942,749,485,722,661,889,324,371,504,678,918,094,956,216,316,511,080,
262,827,767,741,704,231,451,238,996,338,853,643,537,314,242,545,514,367,124,
134,347,343,585,206,021,946,858,511,037,182,177,117,248,228,021,420,781,079,
170,586,672,138,673,823,636,186,144,301,710,129,480,482,902,321,998,863,540,
692,093,739,682,360,149,180,686,648,443,512,717,190,721,567,183,088,848,769,
529,437,295,938,883,989,650,586,136,992,309,518,182,884,248,030,554,382,450,
764,438,029,227,512,021,064,208,696,011,524,605,941,517,931,238,671,431,035,
425,511,078,470,884,832,043,349,809,345,695,319,050,630,085,159,107,546,741,
633,281,704,273,212,353,446,149,748,851,880,333,849,866,720,276,849,737,591,
846,287,043,169,473,362,038,308,550,963,666,246,898,255,138,961,566,398,072,
710,375,923,055,715,665,012,133,901,129,964,608,775,552,470,149,801,600,566,
584,082,153,836,772,830,716,553,237,873,230,297,608,254,365,632,918,422,051,
686,915,598,487,902,709,583,619,074,509,578,646,173,566,985,016,573,752,382,
089,984,577,872,094,437,806,089,458,765,823,180,331,364,614,058,054,636,152,
874,521,599,319,122,433,417,805,076,869,434,428,266,189,905,964,582,635,802,
665,349,481,124,392,786,779,083,321,568,370,901,095,307,914,485,783,063,198,
590,872,376,595,811,171,412,447,857,390,059,089,553,577,932,079,830,398,162,
528,774,171,956,351,122,343,336,275,572,021,998,822,390,043,328,696,078,976,
039,130,261,245,192,252,721,932,011,133,204,237,229,931,113,771,042,347,858,
839,544,088,776,851,936,801,185,112,501,303,587,359,067,988,771,793,703,211,
010,975,888,652,355,636,407,623,207,744,352,067,748,423,514,078,114,435,636,
960,332,347,757,708,548,861,655,895,972,974,259,417,030,152,752,636,956,185,
029,621,652,387,340,026,764,426,388,830,900,826,426,834,103,109,095,100,170,
612,223,193,175,485,643,883,143,021,112,402,467,574,344,476,844,021,417,548,
640,111,945,109,343,945,702,216,945,539,657,714,882,887,766,366,836,501,524,
396,206,438,509,987,073,136,638,184,349,358,591,199,929,810,572,348,372,119,
576,777,239,931,072,391,373,641,878,999,838,173,219,049,204,515,757,444,639,
111,653,722,598,847,383,242,776,641,645,459,863,690,908,304,133,435,507,156,
456,515,957,140,124,711,059,284,929,353,723,396,261,141,882,135,381,785,988,
096,557,501,925,897,173,824,522,083,795,174,036,676,784,814,525,710,028,107,
599,765,964,656,888,962,390,845,443,980,511,604,210,489,921,111,031,253,821,
497,527,202,355,581,824,272,995,574,307,658,308,299,959,621,015,780,457,501,
094,129,293,781,589,063,470,340,134,949,954,308,853,598,811,155,415,935,394,
245,364,713,164,093,995,238,322,726,749,724,853,928,460,645,239,756,390,471,
451,124,332,270,713,796,135,357,525,780,884,116,553,950,820,311,679,419,162,
138,846,691,626,257,105,481,971,541,172,081,051,818,443,390,276,619,010,730,
112,527,164,750,843,122,644,768,314,894,977,219,176,902,994,264,508,778,492,
043,273,466,837,696,650,134,697,168,810,378,574,176,658,224,938,109,062,344,
512,492,036,914,725,441,245,165,319,772,592,630,056,563,090,430,525,076,458,
679,167,370,849,032,424,902,541,294,271,320,095,384,603,540,084,472,882,519,
272,681,844,842,380,528,491,866,936,181,216,020,707,084,542,754,920,206,452,
090,512,442,961,479,991,120,155,710,439,700,993,402,388,575,979,448,129,761,
092,393,357,683,758,852,260,201,050,547,695,580,399,256,630,254,485,509,140,
432,116,169,155,103,175,540,266,260,560,255,172,174,630,135,737,251,204,584,
035,472,947,798,287,288,630,302,536,338,816,959,308,239,705,117,912,467,834,
496,432,448,522,540,135,422,102,126,538,509,671,935,638,563,001,629,111,497,
336,601,930,805,867,632,339,662,408,820,050,939,437,244,284,481,194,600,006,
239,442,914,662,814,416,745,289,987,578,757,380,965,835,894,446,607,036,470,
222,368,371,778,696,028,357,290,107,206,992,427,392,453,212,128,315,625,039,
661,532,774,449,430,743,175,178,353,284,742,556,359,703,483,745,013,926,971,
610,341,504,602,330,900,526,749,282,236,087,077,444,560,042,032,094,224,020,
832,160,801,598,440,497,847,427,493,913,387,625,453,376,276,582,155,606,975,
290,701,151,606,683,211,672,508,541,621,053,621,665,139,739,540,804,527,142,
514,488,684,036,407,493,981,356,897,514,666,716,219,386,208,189,864,430,791,
918,587,666,142,223,040,277,451,682,948,091,573,358,684,732,214,562,061,043,
752,882,630,757,592,295,191,663,508,519,898,733,137,426,587,883,828,869,410,
334,184,285,331,840,733,052,694,109,339,704,259,977,019,784,896,109,900,055,
152,311,581,992,575,014,862,724,964,881,411,362,048,495,206,491,077,153,516,
325,597,345,802,773,173,305,039,363,675,913,067,370,562,924,522,994,119,427,
892,475,063,897,512,973,064,108,872,752,195,414,195,384,423,149,290,591,242,
238,738,505,313,131,807,080,673,502,270,119,019,703,909,796,936,157,827,439,
536,526,924,319,898,860,640,814,091,809,310,364,211,786,995,415,406,964,251,
999,352,643,556,745,972,935,446,943,621,193,064,380,105,170,599,623,149,167,
767,901,563,508,653,074,498,023,895,788,202,388,993,024,550,557,999,603,746,
935,401,989,567,770,056,820,782,345,471,527,306,629,710,696,575,073,589,655,
251,421,838,302,340,271,706,902,421,913,137,823,353,449,730,986,819,879,936,
320,614,530,714,895,452,591,934,220,311,255,244,819,642,266,936,517,017,050,
255,239,129,056,539,444,684,556,793,918,036,597,647,761,719,073,155,488,482,
217,455,836,342,998,463,090,329,133,064,829,914,096,384,887,629,025,025,179,
699,431,862,179,100,133,530,694,982,254,447,637,708,605,775,499,559,410,835,
633,104,542,414,307,804,356,607,187,463,851,401,292,755,278,318,055,824,934,
054,219,527,991,399,889,296,639,336,259,638,120,509,654,545,673,342,775,303,
425,605,218,296,273,194,672,960,545,282,131,682,524,868,248,930,285,611,239,
161,471,381,600,342,192,973,205,236,717,085,430,755,046,084,704,428,839,327,
419,110,439,976,464,961,095,030,423,267,962,226,793,393,801,654,049,514,006,
216,411,672,996,596,201,173,700,442,458,270,288,901,169,712,577,870,504,314,
541,390,591,552,321,737,943,190,606,837,957,875,881,014,078,571,440,869,353,
098,825,438,395,205,033,600,579,870,883,553,367,662,256,918,932,074,552,396,
971,988,894,185,124,149,516,374,029,169,110,415,813,578,068,942,923,729,843,
669,045,509,650,718,639,224,946,960,197,952,938,948,440,886,654,415,520,256,
103,015,051,736,421,258,228,301,347,015,355,156,535,704,520,958,710,050,640,
278,774,252,618,897,330,914,440,261,234,597,599,688,024,245,637,269,198,945,
849,212,331,081,402,701,767,913,689,926,798,813,954,343,998,499,467,030,085,
448,194,332,330,545,894,992,023,446,740,330,405,951,293,327,893,002,755,820,
667,684,556,167,626,303,981,157,631,288,788,076,264,232,037,549,272,320,089,
406,971,184,295,138,034,127,622,890,852,570,808,025,189,825,498,412,187,317,
185,005,781,722,654,445,986,266,123,150,925,761,315,696,682,464,144,230,546,
305,499,995,099,441,559,171,997,585,769,385,613,075,570,866,776,405,161,741,
732,313,845,851,917,774,174,272,434,594,930,664,676,079,184,582,176,515,446,
452,300,300,682,711,997,204,260,533,470,908,474,002,397,881,199,788,062,436,
778,388,605,941,153,947,553,595,676,242,926,316,267,637,397,090,390,721,144,
815,634,587,389,778,395,445,361,986,111,579,760,217,833,166,840,293,250,208,
601,755,811,164,540,884,753,777,628,282,672,321,171,499,838,622,278,128,333,
872,246,183,176,511,840,417,273,907,871,926,403,007,509,966,829,730,830,275,
573,961,504,462,772,072,245,252,998,061,551,379,293,727,801,705,678,014,613,
840,743,305,216,606,278,383,690,344,438,098,646,339,827,044,826,573,915,440,
851,057,069,471,681,357,680,366,463,483,655,880,432,889,889,916,119,093,967,
852,341,727,789,842,866,570,614,875,636,804,956,984,338,661,978,216,044,297,
348,803,431,701,068,317,512,787,367,595,388,079,323,151,963,306,086,728,739,
901,670,290,802,588,108,552,169,538,832,399,233,181,520,168,704,181,629,401,
262,526,511,241,714,561,368,274,840,692,942,069,949,215,018,749,665,440,485,
088,435,330,441,973,376,626,989,028,615,783,479,493,254,275,919,262,148,871,
118,519,023,740,741,767,052,472,035,450,769,838,493,069,560,288,042,925,557,
821,717,039,374,688,979,133,625,938,545,424,477,193,986,933,243,486,158,929,
705,659,753,263,778,734,484,660,497,038,719,609,600,943,293,565,638,122,077,
140,037,023,397,566,277,186,988,016,685,984,819,941,282,518,892,244,817,631,
055,438,545,917,862,464,238,794,735,410,190,289,192,898,940,549,719,292,711,
163,687,414,819,620,786,310,372,941,305,481,946,199,848,357,841,270,141,350,
206,625,975,710,041,339,395,593,195,696,687,882,492,350,370,418,900,430,622,
400,044,714,165,919,657,293,931,617,857,151,391,268,591,693,943,352,783,091,
765,251,496,109,776,635,709,563,727,801,639,202,169,482,054,415,297,054,925,
339,768,254,036,859,938,354,436,800,320,248,760,332,530,472,582,416,745,544,
612,512,442,444,971,549,057,501,299,254,043,839,265,422,214,108,008,244,242,
180,962,367,049,277,327,737,511,645,259,735,185,364,428,413,382,532,970,985,
873,211,489,116,879,510,502,475,720,972,287,789,475,577,279,251,598,931,898,
373,361,920,927,399,023,316,178,389,030,753,287,247,205,578,099,979,481,619,
991,052,241,625,855,185,883,667,659,250,430,418,782,813,834,922,114,082,480,
800,112,843,591,379,734,490,751,639,818,039,302,545,637,647,046,592,627,679,
852,850,440,720,785,447,507,622,916,827,458,353,426,802,194,551,449,216,912,
917,975,605,418,219,304,429,021,676,598,956,232,469,314,854,420,123,109,656,
405,047,693,448,389,598,260,056,141,184,150,580,931,843,065,064,137,645,756,
429,659,592,166,223,131,038,720,220,139,469,151,869,240,224,090,988,138,885,
317,572,837,181,995,818,474,765,429,576,320,932,316,440,191,659,133,772,557,
086,426,845,453,062,454,318,745,339,692,216,737,787,000,258,568,843,870,270,
279,763,446,701,950,119,282,749,086,537,772,194,591,369,521,044,916,135,950,
224,088,311,759,380,555,477,713,316,706,284,848,137,851,862,375,697,127,301,
097,792,274,820,408,093,306,536,272,963,241,712,000,286,110,901,134,305,881,
357,062,934,738,392,062,101,293,605,635,680,296,802,855,018,789,752,619,783,
410,048,024,676,979,454,324,899,521,461,954,287,236,655,634,285,944,752,285,
411,485,428,429,166,260,233,917,812,342,758,893,878,578,999,430,577,558,804,
512,616,121,575,390,262,228,722,843,577,468,577,718,396,302,015,374,281,260,
677,699,851,348,922,851,344,654,882,435,737,200,153,939,657,992,576,941,168,
418,505,629,509,756,329,924,009,975,703,573,633,870,965,199,148,137,357,499,
318,269,397,917,421,168,254,578,018,939,627,978,147,098,548,203,163,606,674,
065,642,904,210,675,590,877,951,147,525,144,842,022,077,646,041,027,304,782,
805,501,722,529,402,888,283,446,354,533,681,027,882,656,022,115,880,619,319,
655,163,084,996,917,997,563,316,315,723,305,741,810,113,861,945,062,648,118,
922,027,154,336,198,823,948,038,779,863,716,627,600,052,411,113,779,050,343,
878,955,864,271,042,275,280,083,909,219,079,969,021,208,943,202,884,245,701,
339,327,186,935,809,277,652,254,615,177,526,815,785,485,941,085,555,543,335,
807,827,818,343,293,409,108,407,259,741,747,968,221,146,624,681,393,204,678,
481,555,865,462,521,368,046,210,144,196,182,112,856,708,733,368,870,681,377,
740,835,264,238,539,796,125,221,959,308,978,596,412,678,580,682,193,121,625,
078,690,389,333,804,389,936,297,049,734,808,688,321,202,406,859,542,571,515,
919,012,736,683,683,972,842,999,989,439,282,108,196,040,957,399,723,530,841,
416,082,863,275,824,467,350,450,886,718,343,278,710,828,882,802,115,531,368,
512,625,251,137,545,815,732,850,965,488,799,573,676,031,125,871,936,554,294,
578,686,473,430,229,686,364,376,986,898,904,259,977,270,171,664,686,329,040,
084,444,068,964,926,500,969,943,743,745,649,602,208,209,643,740,777,708,934,
797,880,174,929,150,684,269,760,147,512,273,691,359,878,371,712,075,035,563,
091,366,304,837,900,540,774,520,360,128,224,885,443,125,313,582,135,405,770,
647,301,441,190,428,511,767,839,654,692,497,580,847,174,863,932,704,276,119,
401,053,697,361,934,262,089,583,344,272,595,121,268,920,867,436,763,504,052,
554,945,813,166,437,446,607,309,474,944,074,040,522,204,772,977,695,458,913,
333,354,552,531,924,557,582,497,059,190,127,430,640,533,811,597,538,736,443,
387,779,194,079,167,520,230,124,155,406,581,010,654,497,143,908,878,458,399,
094,783,045,254,765,351,583,482,521,138,754,104,413,302,250,148,564,282,951,
121,953,225,908,324,801,125,279,267,713,549,688,838,962,339,043,488,594,444,
372,243,086,745,432,304,293,596,067,292,695,531,162,678,160,521,168,377,360,
537,048,301,259,440,943,744,046,328,420,763,018,596,071,252,015,727,031,727,
565,655,628,607,355,313,728,773,945,965,175,016,651,358,197,030,641,442,211,
559,004,396,544,808,273,129,327,816,805,327,715,553,794,297,618,331,322,454,
911,306,826,094,951,391,943,184,128,938,129,040,340,825,782,761,146,378,212,
065,242,150,077,031,225,386,400,888,544,493,953,224,091,752,019,566,561,842,
332,368,728,938,314,041,202,388,517,835,218,484,623,886,886,775,784,752,074,
095,139,404,580,939,219,901,561,897,722,944,547,698,039,056,139,312,731,836,
665,394,639,533,255,009,213,027,667,733,813,762,763,593,693,898,705,934,424,
648,581,692,381,503,280,085,682,696,653,745,222,820,210,192,643,313,146,125,
071,610,270,607,639,242,946,341,792,330,925,292,193,870,079,757,631,999,411,
525,619,124,767,008,979,081,579,745,164,413,868,323,269,858,479,008,664,062,
203,445,455,594,504,747,147,584,228,994,289,599,323,812,329,795,471,545,630,
045,444,301,226,351,484,755,596,429,595,444,875,599,354,071,451,198,245,841,
983,242,507,526,245,169,124,676,830,286,934,857,959,656,284,262,869,400,561,
444,038,732,215,497,011,683,408,101,325,191,982,672,472,832,282,665,805,707,
520,455,085,110,705,268,041,611,214,020,252,494,382,801,135,157,009,758,253,
917,753,330,104,046,247,026,578,562,518,581,187,595,322,959,205,308,467,630,
120,239,194,880,604,977,557,868,774,500,064,882,403,628,900,035,536,579,701,
663,519,426,443,924,293,106,746,124,314,645,314,702,345,254,424,216,001,575,
112,958,915,202,619,636,478,836,071,597,724,132,510,640,614,899,461,631,979,
539,334,341,160,920,052,374,710,573,113,453,269,285,931,127,287,487,652,244,
573,995,277,175,990,360,226,163,188,204,259,956,841,089,691,587,615,076,186,
292,000,687,966,075,482,926,387,216,143,516,801,547,199,969,698,076,706,234,
367,768,160,928,395,969,603,945,046,323,399,365,343,755,072,091,267,996,778,
480,422,986,490,781,689,653,087,025,797,883,421,523,748,164,321,629,875,969,
830,292,567,171,452,485,547,646,637,532,600,441,050,744,893,227,026,070,512,
212,723,763,670,777,234,760,079,352,971,613,126,067,081,329,672,719,683,521,
347,867,739,544,662,013,015,872,497,943,013,381,869,092,323,094,288,853,057,
527,542,745,785,973,322,023,335,197,931,559,571,266,829,007,442,017,624,726,
936,330,042,401,070,088,481,220,519,801,844,463,959,564,116,043,388,112,405,
115,309,923,506,108,939,585,387,565,886,448,405,334,075,063,034,202,084,245,
934,894,521,425,535,852,370,768,252,968,228,473,579,896,074,244,201,977,381,
382,744,812,574,278,536,430,143,499,793,089,797,840,579,316,258,235,976,024,
925,504,610,863,862,006,523,313,066,752,183,391,984,141,705,840,982,823,268,
090,582,618,066,094,124,293,008,594,862,736,621,865,225,722,525,233,898,378,
175,312,716,135,854,295,277,722,991,254,904,335,534,727,481,013,785,202,415,
201,338,519,988,385,903,610,447,655,176,184,065,800,011,726,247,149,061,166,
801,154,371,343,499,946,439,753,311,371,170,697,341,230,731,275,908,520,975,
466,688,646,048,237,088,611,943,000,211,639,314,033,393,399,636,749,748,416,
651,228,827,341,092,749,830,766,249,124,955,132,194,516,713,261,537,162,677,
338,100,408,262,030,829,932,025,205,311,760,763,568,671,380,846,041,056,211,
130,643,756,106,837,370,404,726,150,508,141,610,179,697,010,995,099,275,633,
107,747,901,403,460,953,202,233,409,468,876,996,031,329,606,145,978,475,374,
235,417,403,743,799,927,351,357,354,244,473,592,068,368,925,207,506,422,360,
269,082,704,672,329,300,585,029,688,137,033,081,168,099,804,172,019,775,041,
779,219,088,276,736,151,220,681,109,913,318,361,081,351,790,524,609,185,691,
136,456,193,507,348,754,019,108,982,961,917,711,919,211,884,525,184,783,305,
917,289,383,785,858,018,125,784,650,999,249,047,359,092,376,223,071,092,872,
635,192,193,733,909,063,011,884,084,257,413,298,680,539,346,256,948,023,426,
727,814,462,527,062,536,469,800,540,019,616,978,215,813,401,444,509,101,858,
601,742,295,634,777,387,026,288,300,913,631,210,733,847,432,386,425,248,721,
721,543,946,815,318,505,540,078,845,863,766,959,745,191,408,938,692,022,024,
716,996,484,021,921,886,665,537,887,970,404,423,134,553,333,400,934,085,961,
483,220,882,191,486,875,199,308,099,723,807,491,038,643,861,506,911,917,595,
113,367,683,181,155,554,618,892,345,560,022,051,410,313,323,969,923,060,647,
292,927,401,577,764,242,858,477,253,787,177,025,322,101,974,311,901,577,784,
394,898,020,172,526,968,773,554,908,405,553,184,055,031,737,386,342,409,188,
639,076,581,052,298,358,331,211,716,650,886,273,886,002,654,156,707,467,698,
865,805,939,346,014,024,223,845,408,164,113,759,088,651,175,836,830,378,164,
016,061,571,397,337,095,914,281,451,342,133,783,458,907,406,018,192,161,960,
338,956,260,559,282,096,691,917,040,530,543,330,428,703,995,164,753,411,647,
712,283,549,829,915,711,334,070,382,263,779,627,735,766,050,284,732,721,279,
455,542,322,535,106,922,805,553,014,401,863,768,693,518,230,126,175,905,601,
382,090,666,646,818,569,048,627,273,297,826,790,100,067,796,097,051,317,873,
358,066,040,494,994,437,834,897,652,122,161,153,789,827,240,646,529,191,676,
188,076,226,660,740,959,431,619,639,994,975,285,435,685,678,654,163,256,699,
024,897,128,046,883,117,911,225,477,676,879,610,229,510,195,380,397,187,214,
450,469,508,938,791,179,011,085,844,908,566,657,767,187,683,109,517,219,810,
382,897,315,576,990,166,524,307,666,010,217,398,456,180,664,670,559,835,768,
007,107,262,621,646,343,381,775,017,336,452,351,048,146,855,097,078,309,519,
095,216,228,336,674,151,577,289,163,610,884,257,623,823,500,618,034,636,887,
622,153,717,777,289,333,616,482,494,460,140,459,394,785,989,094,528,286,798,
841,005,780,572,389,625,884,106,817,063,385,225,209,561,741,467,026,627,858,
604,552,329,922,620,186,384,771,353,583,850,426,450,619,444,748,992,344,003,
579,663,319,057,971,986,540,687,508,984,753,128,708,308,254,776,360,374,041,
875,622,661,536,312,857,304,448,141,764,293,738,414,634,524,457,983,388,210,
262,606,742,797,405,004,806,405,886,608,676,569,665,955,508,476,703,086,846,
098,581,516,325,894,683,747,019,610,583,577,045,761,796,968,578,265,067,064,
544,355,681,713,581,908,760,794,619,588,664,891,873,783,514,549,473,966,650,
649,918,266,043,491,193,045,913,794,488,602,727,763,385,397,700,244,979,700,
738,716,641,969,079,470,445,081,352,481,132,495,533,611,887,874,568,197,571,
287,782,446,661,767,535,614,892,476,809,778,212,669,496,576,187,180,261,046,
429,038,109,373,716,785,955,762,284,766,076,523,253,098,197,394,598,839,551,
274,679,494,421,689,488,438,196,771,001,358,196,885,153,235,736,503,661,632,
923,824,658,510,963,369,380,791,685,984,762,423,429,432,317,530,863,534,728,
199,251,188,252,896,171,578,446,308,019,214,857,338,654,582,794,135,231,379,
844,669,891,097,099,398,474,191,645,822,977,793,737,098,764,256,426,324,561,
322,451,469,506,785,369,015,427,371,752,966,959,185,855,223,501,995,214,439,
348,965,785,271,781,992,118,273,418,224,584,471,266,185,743,773,667,109,851,
873,277,854,750,805,242,962,082,812,875,336,734,917,836,600,567,004,129,221,
294,267,603,118,278,657,501,346,989,490,607,388,049,323,118,289,755,444,287,
817,185,671,618,047,256,629,658,497,713,950,447,521,885,175,612,470,627,505,
817,248,060,871,138,689,311,020,870,369,043,129,294,412,677,447,016,891,455,
193,888,972,359,474,606,007,323,454,280,748,812,385,611,803,676,597,024,491,
794,945,700,349,237,912,244,958,865,749,201,224,301,059,819,783,419,248,597,
141,054,789,075,760,120,789,992,701,200,783,242,022,934,318,955,306,802,160,
221,692,094,529,529,596,397,010,242,645,868,054,760,071,979,624,886,176,262,
219,102,426,784,526,097,103,252,799,533,450,655,740,271,280,532,090,519,796,
670,473,059,291,747,504,143,168,569,978,019,642,060,278,298,956,865,415,479,
619,474,948,782,522,229,741,021,254,596,578,728,074,810,215,918,186,463,269,
442,534,891,683,408,021,025,701,590,488,910,977,378,375,013,300,864,657,391,
235,078,705,665,289,500,355,656,479,247,869,942,308,851,106,521,863,572,165,
300,494,743,203,861,323,032,943,894,685,569,118,658,299,103,889,906,388,696,
206,379,474,155,750,259,214,988,273,284,643,759,323,197,061,586,981,799,728,
858,836,059,847,612,779,793,187,291,905,924,176,924,631,672,307,971,170,132,
254,010,193,102,623,660,862,450,381,328,846,785,952,635,365,458,965,213,541,
313,812,833,573,144,567,350,689,867,659,984,478,153,668,413,297,423,470,800,
025,275,086,392,090,279,090,791,690,670,663,384,623,756,116,650,302,199,238,
309,952,570,777,886,692,633,860,849,315,754,333,137,637,093,270,129,182,699,
081,769,579,846,953,142,059,730,392,682,827,351,009,011,062,587,445,513,453,
419,226,695,888,653,796,736,124,997,252,660,409,647,248,235,033,130,256,217,
185,955,680,925,140,346,021,583,727,353,609,766,502,168,720,671,278,431,627,
681,464,235,142,772,292,001,267,288,381,186,336,616,731,914,536,332,900,795,
067,918,046,281,591,371,347,307,158,052,563,599,956,260,417,101,958,893,788,
797,023,784,356,150,677,562,438,607,390,429,472,618,607,369,872,809,146,771,
625,106,968,649,388,962,896,838,250,209,902,440,629,500,861,651,622,516,129,
864,234,249,377,932,493,113,684,627,347,831,909,773,172,544,164,837,564,301,
780,686,012,359,138,105,005,129,411,554,659,626,259,944,321,492,019,372,669,
523,407,285,824,229,283,210,512,824,051,336,121,776,256,267,305,842,033,329,
407,675,356,295,087,192,534,448,921,444,854,855,872,309,145,532,889,873,638,
404,747,318,309,028,513,606,534,909,851,749,488,705,353,247,925,451,475,684,
152,664,739,674,627,471,944,589,615,617,206,860,111,590,189,107,716,801,838,
535,527,654,179,387,541,849,435,255,419,571,412,332,037,224,856,209,564,701,
451,272,473,170,027,680,814,307,836,117,596,205,605,202,706,209,023,060,761,
756,851,346,620,078,235,050,659,153,296,125,055,789,315,393,456,902,875,220,
420,998,623,199,660,914,334,182,813,202,020,299,881,168,838,098,105,167,690,
036,042,627,293,520,461,108,307,525,348,659,110,089,085,925,897,115,135,181,
598,860,485,991,219,145,776,637,050,285,343,396,460,186,669,097,140,187,877,
446,953,211,164,630,105,350,928,767,799,800,404,193,839,702,261,832,178,266,
608,022,679,121,088,058,766,444,069,824,165,856,682,913,714,241,357,462,283,
369,506,173,932,581,472,813,284,233,150,250,417,260,073,313,606,892,154,326,
638,533,205,066,044,624,028,827,649,250,924,114,884,513,933,806,242,482,212,
358,643,370,469,845,212,487,372,982,332,301,218,853,520,665,362,100,311,847,
053,966,244,812,637,466,285,508,693,624,402,703,985,902,308,643,669,066,194,
971,276,700,715,007,010,007,994,344,003,174,608,139,534,282,152,427,300,680,
371,872,749,744,975,659,952,816,716,335,271,821,680,638,622,900,923,163,042,
836,387,284,262,544,143,422,412,540,983,817,734,966,283,935,173,773,425,348,
852,640,056,306,779,890,272,174,039,511,545,884,037,686,716,559,845,284,933,
233,652,149,735,112,377,016,020,963,987,351,762,114,339,319,348,821,743,173,
936,565,435,639,590,374,326,992,476,752,083,950,874,901,043,368,899,466,535,
636,039,269,210,604,162,008,987,901,284,337,748,491,435,152,567,377,934,672,
136,103,897,542,816,559,342,654,131,509,960,543,670,949,047,499,216,667,121,
956,164,705,727,009,875,523,363,169,388,698,107,247,118,331,598,719,536,659,
062,912,282,612,802,296,855,815,046,438,762,332,882,439,205,138,375,040,742,
654,565,610,232,801,196,710,745,044,863,390,033,956,585,947,515,019,340,907,
419,748,139,285,220,959,417,146,634,556,099,072,260,625,645,221,354,933,080,
726,613,687,990,611,151,061,763,449,381,138,969,594,251,924,201,722,260,656,
656,667,948,266,793,563,752,260,943,686,378,301,234,770,743,116,809,372,537,
000,806,576,739,086,009,101,344,161,237,555,644,671,196,712,958,969,957,581,
627,393,510,847,872,337,641,880,041,208,848,469,626,530,468,241,920,290,202,
397,027,895,075,628,693,956,496,459,855,638,330,705,937,659,051,133,953,251,
994,738,809,308,582,919,632,736,902,530,835,282,984,441,122,454,241,954,568,
827,590,518,125,207,248,209,750,675,563,888,036,992,860,187,248,550,849,521,
503,879,599,480,102,137,172,432,193,953,863,978,917,040,601,429,093,895,963,
559,090,841,122,410,736,427,950,467,910,271,341,066,402,547,350,765,427,180,
660,418,994,536,347,784,043,208,843,637,745,980,262,912,482,385,363,304,660,
849,606,717,969,998,952,598,934,692,815,304,062,866,287,598,176,141,622,702,
560,057,607,132,871,225,146,214,830,209,543,179,799,651,072,089,819,302,462,
531,456,275,292,087,264,903,726,576,147,789,869,987,668,242,925,530,792,353,
123,045,355,957,007,441,284,473,468,923,300,336,328,552,805,384,701,294,672,
318,662,317,028,278,663,991,891,942,020,355,781,107,873,950,262,812,468,971,
236,601,925,598,880,375,246,812,524,215,522,585,007,974,351,047,487,467,354,
441,169,601,418,729,034,690,634,844,532,702,222,633,379,293,840,944,566,209,
857,955,961,095,451,727,625,132,651,426,973,044,590,680,710,227,754,542,907,
857,938,641,714,963,004,727,378,045,820,604,847,984,339,174,219,478,707,672,
345,792,295,245,517,892,580,204,552,777,180,472,243,148,529,501,749,638,195,
521,407,281,816,418,625,293,988,818,963,328,634,135,143,145,592,674,122,598,
244,022,600,354,955,289,790,469,268,262,446,260,594,013,283,587,952,483,742,
817,675,019,053,216,783,936,976,371,092,011,877,047,181,258,014,719,443,472,
379,407,448,839,835,325,158,384,957,529,421,868,756,501,842,940,215,014,406,
024,561,362,455,103,759,570,167,744,689,526,535,119,553,026,965,916,918,878,
937,288,925,261,852,217,077,757,473,104,647,104,723,256,495,123,351,395,128,
716,088,329,124,932,725,831,158,554,134,374,072,952,138,955,290,500,675,227,
310,885,942,668,277,001,600,031,059,980,969,496,436,988,580,777,689,883,318,
385,111,579,240,036,951,707,436,636,996,792,952,673,051,962,144,355,413,906,
093,956,533,762,074,207,354,444,287,864,266,865,159,414,263,808,752,778,069,
320,269,576,727,333,815,652,196,234,407,564,324,086,401,060,807,481,034,407,
160,332,955,876,088,110,773,136,231,441,891,027,885,150,877,939,525,402,642,
972,979,161,728,608,103,325,555,228,089,007,404,407,716,089,533,129,164,199,
045,978,904,007,041,068,279,485,687,965,941,586,475,490,824,849,900,315,560,
177,286,751,601,373,749,218,986,089,008,804,535,501,016,257,792,938,221,154,
618,229,096,229,587,910,078,947,332,165,911,764,667,179,528,280,427,990,549,
335,211,280,825,324,123,540,130,196,072,531,832,227,966,552,317,120,878,106,
115,096,950,881,729,000,616,320,339,406,413,365,023,755,989,221,783,101,444,
725,267,942,863,392,422,030,487,809,532,867,868,359,189,133,594,011,300,012,
943,888,259,145,236,526,404,497,098,357,019,912,548,891,954,245,106,541,619,
986,652,774,299,428,682,242,259,051,925,687,162,084,846,472,588,433,952,330,
457,976,483,682,038,927,407,156,673,051,723,908,522,056,868,686,422,801,977,
066,226,834,540,507,776,828,541,247,777,203,634,250,458,979,760,855,912,794,
961,848,586,534,170,819,302,909,417,360,944,810,068,410,716,378,310,069,744,
886,019,322,507,858,392,978,390,753,861,583,872,762,290,910,104,751,715,704,
931,958,669,786,012,356,515,477,257,407,787,970,227,522,692,485,803,380,760,
924,875,594,672,929,764,766,455,363,479,476,483,431,489,700,495,915,606,232,
495,366,478,417,007,840,411,840,008,907,317,873,828,742,426,120,316,246,934,
868,535,572,038,770,854,054,666,507,179,338,641,670,821,849,306,469,646,497,
291,722,613,670,470,899,356,202,027,729,174,290,475,731,221,877,593,560,641,
677,867,020,218,888,938,438,527,637,990,325,864,263,254,606,888,669,488,817,
364,880,859,668,980,596,994,866,791,728,820,396,263,285,306,447,658,646,480,
157,282,719,397,730,071,830,209,706,635,571,250,293,208,367,532,863,096,925,
073,822,146,040,717,087,800,614,569,300,334,162,373,402,002,985,183,879,634,
626,844,700,688,778,785,039,707,789,643,139,287,247,484,202,235,232,907,488,
914,100,715,588,314,662,598,700,890,513,782,340,192,693,602,418,892,120,456,
894,991,573,492,715,489,184,287,945,508,157,146,436,325,284,423,707,133,575,
970,370,340,683,591,099,628,562,827,983,673,632,075,478,167,292,704,165,058,
753,554,712,045,053,533,051,738,777,168,021,032,920,690,236,563,985,266,191,
298,634,296,417,623,361,245,616,878,748,365,220,569,052,804,162,282,507,742,
554,921,195,948,713,328,398,507,905,467,566,771,166,513,093,187,306,955,658,
965,843,833,356,302,397,232,639,078,928,277,515,079,831,945,428,750,293,353,
845,681,810,743,030,406,247,429,421,501,344,059,742,955,259,954,135,459,694,
350,772,072,215,395,869,547,319,936,518,492,519,969,164,406,290,410,998,392,
814,548,888,082,043,618,994,739,860,996,390,605,966,117,496,725,065,280,552,
570,697,241,424,120,511,412,610,017,256,006,318,952,478,368,616,394,189,505,
591,668,829,410,164,717,599,041,443,351,296,222,764,432,101,201,553,569,037,
754,667,486,553,124,794,881,317,769,053,638,086,938,040,519,302,586,908,775,
800,298,532,347,294,870,405,478,575,590,157,005,025,986,335,765,377,221,326,
068,223,402,994,065,302,844,833,656,408,443,055,886,121,235,558,221,183,321,
101,542,572,746,957,775,047,572,774,772,012,706,266,511,120,282,515,120,476,
894,618,942,384,501,196,565,698,486,815,878,316,193,073,330,833,591,339,421,
215,007,306,488,271,008,800,243,831,408,025,399,020,482,944,448,639,587,653,
048,327,321,676,333,149,625,918,570,348,157,094,890,080,282,363,306,417,572,
650,239,340,708,518,671,040,317,261,116,698,108,992,276,163,332,080,016,295,
919,594,232,198,441,668,027,361,543,443,652,345,484,786,601,319,783,267,664,
670,698,258,429,319,142,294,423,475,458,088,389,442,810,831,841,482,837,115,
514,812,023,318,093,015,945,710,256,172,003,280,834,677,078,010,331,919,336,
770,413,503,927,775,609,587,900,291,694,231,844,031,384,200,017,021,567,018,
783,100,862,287,478,550,935,917,081,789,764,458,179,151,190,893,299,925,663,
164,300,426,618,254,141,481,193,136,589,337,116,925,634,029,093,060,783,830,
165,679,963,390,965,092,880,500,500,745,071,754,770,400,328,283,490,949,840,
356,198,767,432,510,801,079,215,594,724,328,222,538,263,219,565,238,381,938,
019,761,132,871,582,915,888,175,762,720,194,672,245,025,119,309,493,805,484,
149,458,128,903,724,631,541,099,269,089,861,222,657,581,083,325,440,088,473,
947,703,148,396,358,769,987,521,897,333,314,456,741,429,253,795,739,701,442,
355,025,038,547,822,327,792,416,280,635,041,960,218,844,449,939,182,436,964,
335,078,096,912,691,308,494,446,184,131,824,665,254,157,732,901,588,512,815,
886,231,815,607,199,415,258,884,828,738,349,049,138,235,990,026,397,478,605,
887,160,543,494,670,968,211,983,805,539,126,800,059,630,964,191,467,398,406,
404,121,166,287,417,980,001,493,956,545,487,799,161,570,524,137,108,708,554,
878,401,684,526,438,038,498,322,390,833,679,489,848,471,184,318,562,485,183,
234,151,866,758,162,029,806,116,338,337,978,388,005,394,591,024,963,386,577,
775,769,956,052,095,508,065,458,057,231,180,462,387,572,438,541,239,837,129,
003,958,400,716,512,601,355,525,714,013,361,528,099,884,585,133,955,466,542,
733,808,803,946,612,303,020,291,688,727,877,706,994,386,311,123,741,618,170,
499,046,367,576,015,225,678,852,063,636,999,455,789,342,321,326,686,074,529,
851,907,494,475,116,143,903,265,607,758,156,990,370,466,047,174,932,252,604,
829,760,982,565,397,463,109,811,175,177,915,054,502,359,660,366,477,747,380,
872,023,885,511,847,111,425,922,176,644,911,259,826,068,987,468,560,927,697,
050,874,627,430,097,622,561,573,055,321,511,413,919,712,316,946,140,730,752,
308,488,000,335,285,402,990,289,174,849,270,298,281,694,111,389,152,821,535,
166,663,998,985,201,694,611,270,595,438,504,065,442,661,564,059,921,846,818,
820,746,977,343,268,018,810,707,825,856,944,084,577,275,191,962,852,985,750,
006,566,603,679,045,563,154,171,899,136,472,318,284,319,598,126,553,711,883,
622,787,398,099,030,771,065,332,289,854,946,682,052,599,301,517,903,991,424,
612,569,109,189,816,115,700,241,064,034,327,928,758,995,244,538,088,199,173,
871,745,391,436,203,268,851,275,806,383,478,473,126,048,703,839,771,549,018,
390,237,634,732,251,245,450,005,636,487,170,249,260,592,511,702,347,682,431,
617,644,107,915,468,859,853,745,546,402,751,882,739,002,505,154,347,711,310,
487,588,964,962,473,363,805,972,508,888,904,676,100,349,548,663,179,385,159,
268,823,895,337,597,176,848,205,977,981,402,828,731,727,675,076,432,520,266,
958,800,991,280,096,290,255,272,133,415,728,061,900,385,603,972,660,861,144,
406,412,514,707,792,227,040,471,072,392,499,645,052,423,324,185,170,519,797,
349,749,058,076,717,519,742,022,603,754,810,018,816,273,215,786,760,392,241,
887,957,287,067,111,208,145,231,631,305,189,515,053,118,470,368,443,179,419,
512,973,302,196,623,057,660,816,642,977,581,718,197,611,479,134,684,157,956,
908,836,285,215,384,676,840,541,216,685,987,675,069,217,587,227,195,642,707,
046,198,541,430,077,230,562,738,001,113,575,264,554,007,432,021,740,812,721,
178,781,455,720,574,244,818,096,731,102,731,662,841,293,354,079,648,409,709,
559,167,654,912,184,860,903,497,470,128,774,752,059,463,137,756,260,907,893,
102,972,323,062,530,032,094,095,156,148,552,765,551,387,781,595,103,774,285,
439,009,774,832,055,045,943,716,918,052,237,982,988,330,392,099,738,165,112,
416,105,357,292,411,387,774,498,868,441,025,818,087,729,549,085,152,318,154,
632,053,006,657,268,244,226,037,380,839,955,814,763,665,979,469,254,429,142,
694,725,313,334,318,441,435,716,901,882,728,194,631,373,265,090,483,895,945,
119,128,332,603,621,908,123,087,538,048,480,441,937,271,549,706,118,713,394,
902,694,815,039,267,045,382,839,828,585,545,319,679,370,134,152,113,880,700,
931,973,663,614,092,656,933,744,917,447,565,806,320,244,022,016,664,049,352,
902,610,487,922,647,812,385,549,673,989,155,193,773,603,792,614,977,248,522,
816,931,550,946,681,679,980,907,969,523,336,165,964,138,862,241,172,621,761,
689,756,077,749,951,889,451,174,236,422,339,087,963,769,286,665,920,536,857,
130,166,475,173,582,681,572,222,944,449,863,183,225,412,158,025,939,254,491,
499,582,781,632,491,827,857,156,103,104,467,796,987,776,398,165,820,974,803,
392,364,821,459,269,838,626,717,718,820,699,933,895,600,860,362,287,032,447,
871,817,396,829,323,105,101,647,336,011,501,441,433,973,434,612,068,876,667,
248,468,229,670,429,428,372,019,712,843,480,822,431,894,016,164,458,499,647,
767,054,070,821,826,746,011,760,203,967,344,293,702,259,088,507,398,465,548,
476,395,235,306,437,616,547,359,631,454,895,482,969,923,831,938,131,050,470,
062,241,285,137,942,672,088,022,588,276,258,225,365,673,607,320,076,234,177,
634,698,717,584,530,254,197,427,358,211,503,563,462,894,173,704,587,521,018,
233,190,106,719,970,347,970,066,936,032,583,183,888,923,999,443,647,814,223,
512,171,785,456,971,101,312,028,274,591,042,223,663,324,610,628,733,172,136,
474,307,634,355,728,369,820,194,272,288,072,480,430,916,596,719,481,183,425,
261,856,807,379,006,792,802,613,174,817,339,557,128,738,816,189,536,407,843,
563,078,581,856,850,176,860,682,172,442,408,218,342,464,919,857,133,305,009,
226,649,621,276,442,481,622,071,303,024,698,025,445,534,913,510,935,574,228,
808,071,789,586,379,786,039,184,122,434,676,026,447,271,786,726,990,924,389,
544,459,733,349,912,998,888,333,653,741,844,898,765,783,144,413,115,869,288,
523,982,938,792,252,240,877,782,357,417,452,750,389,115,400,383,716,895,874,
492,182,628,415,683,915,160,017,249,179,313,418,715,163,195,807,326,410,565,
098,328,112,258,875,340,142,050,674,201,996,731,064,249,171,488,252,524,097,
163,005,490,256,452,359,152,659,855,988,818,988,060,647,831,813,019,412,719,
481,816,672,746,631,754,414,331,821,205,937,020,097,933,063,363,830,276,158,
345,621,766,707,950,830,882,906,356,240,271,312,106,889,361,977,522,331,200,
264,553,155,638,667,179,420,249,435,818,945,333,635,149,135,375,317,537,287,
859,218,894,116,459,699,491,275,964,702,414,604,996,065,381,297,775,469,590,
365,834,051,020,832,535,169,191,973,910,700,886,940,135,914,526,040,368,462,
254,830,589,828,411,379,639,650,439,060,261,776,418,553,431,025,506,577,790,
537,961,936,626,419,370,280,108,692,502,441,693,358,481,615,641,402,843,182,
178,652,937,548,476,740,852,241,676,764,328,890,676,228,994,932,829,493,020,
101,135,562,264,485,158,529,393,439,568,614,783,652,164,485,684,740,518,478,
592,979,775,618,201,349,837,501,602,567,744,925,190,028,650,503,432,131,934,
752,095,898,711,421,546,102,425,696,736,930,843,139,769,510,952,031,767,758,
630,546,054,787,785,935,846,032,061,045,481,174,469,741,478,783,815,001,084,
076,985,233,925,582,866,058,911,441,352,313,586,607,652,346,824,315,491,082,
562,753,563,259,864,958,291,342,190,468,315,888,792,553,597,043,435,043,178,
713,680,181,850,906,402,409,239,714,527,150,589,472,699,262,518,919,708,062,
418,885,286,253,743,097,719,662,462,901,583,722,574,551,805,404,531,968,176,
062,327,750,741,262,460,122,639,529,900,199,374,899,897,783,279,852,930,516,
043,745,562,538,642,789,713,047,353,083,729,436,064,405,151,282,467,901,417,
542,783,458,856,863,660,512,374,194,281,123,956,858,814,713,940,973,489,940,
789,794,533,459,245,622,484,509,171,811,086,555,513,241,905,932,964,055,021,
055,643,898,998,753,836,408,004,077,752,200,153,024,023,119,244,658,820,077,
667,865,057,118,875,119,346,170,262,755,330,568,190,249,152,485,299,825,824,
883,432,263,384,354,430,108,639,365,367,051,893,419,077,186,082,088,498,710,
897,350,839,740,243,480,474,970,103,073,948,141,346,294,335,629,070,973,365,
309,006,413,203,796,584,386,156,320,654,803,364,677,073,432,059,780,658,915,
796,442,824,644,740,781,317,806,202,978,111,260,828,826,518,155,201,367,600,
874,228,880,055,938,480,994,130,086,920,388,657,601,164,792,634,838,102,332,
512,890,364,684,110,808,815,804,022,783,546,384,062,370,378,142,728,032,052,
911,808,221,193,179,645,733,807,941,757,288,184,467,827,832,584,309,700,190,
184,164,583,178,602,041,813,601,789,533,718,740,922,781,906,518,753,516,486,
750,292,295,620,464,645,419,986,541,670,233,761,959,055,871,894,847,878,056,
423,433,240,890,151,559,970,851,242,982,625,175,904,192,062,099,083,131,592,
143,159,154,252,943,400,303,261,297,537,443,763,660,865,173,835,278,712,889,
888,349,663,955,944,231,485,640,764,921,756,787,327,270,127,230,955,457,142,
707,878,761,666,812,940,660,427,949,164,192,372,477,823,542,120,260,754,696,
787,773,681,871,491,452,236,157,721,245,910,896,580,171,725,317,251,758,788,
492,342,148,538,325,663,962,044,321,933,148,713,398,878,658,016,070,715,826,
534,943,936,881,653,576,522,359,936,137,237,306,208,190,339,690,649,676,669,
310,306,383,814,923,022,986,277,175,505,337,865,919,677,724,366,578,983,015,
778,377,795,285,617,008,133,744,417,172,715,311,209,600,327,154,386,576,936,
891,702,246,790,987,178,042,920,322,163,984,612,750,349,521,813,572,559,543,
636,227,731,030,025,574,068,472,003,062,888,540,647,060,824,586,385,596,880,
786,286,763,067,638,996,054,471,511,451,850,750,761,061,939,425,714,526,783,
802,115,386,171,352,140,099,933,227,114,279,663,953,495,159,558,898,808,157,
832,129,866,667,063,270,057,329,431,288,389,006,234,233,578,927,411,455,509,
727,161,442,459,477,283,565,450,805,956,486,720,724,519,773,364,486,134,711,
756,810,689,987,175,205,663,061,816,515,911,753,025,297,642,994,875,755,696,
092,452,801,001,263,560,611,473,468,003,233,662,732,338,518,885,710,601,830,
786,201,200,950,429,616,690,751,972,218,399,659,507,829,947,123,270,483,628,
229,932,509,961,723,171,843,752,100,203,074,865,414,485,954,248,229,792,043,
635,620,609,985,690,842,635,427,642,037,533,873,140,532,003,047,256,921,949,
263,594,187,002,647,165,036,628,511,320,118,243,432,092,339,570,519,383,857,
750,926,583,215,487,788,608,751,900,561,263,170,032,430,055,642,090,396,614,
264,755,050,497,496,717,452,513,728,336,810,150,773,458,707,961,085,935,980,
696,617,202,705,905,562,312,261,360,724,671,935,382,274,545,891,051,277,501,
621,831,259,483,426,590,556,315,438,360,648,158,606,524,842,641,412,340,277,
703,633,660,899,912,185,553,146,182,280,315,771,344,816,407,369,544,696,590,
369,860,857,462,860,373,509,788,145,457,664,135,156,779,399,840,107,938,248,
582,678,000,187,088,643,054,457,206,993,939,918,840,546,389,067,862,260,615,
096,331,304,030,932,232,158,958,127,871,115,949,945,012,142,842,213,831,942,
446,443,475,875,401,996,339,466,102,771,215,985,667,634,473,409,648,281,574,
015,085,799,957,511,376,346,350,013,097,803,879,992,935,591,738,773,481,487,
970,058,677,767,157,992,265,425,840,151,311,988,514,841,759,996,464,556,617,
975,772,386,028,650,025,646,776,316,777,612,125,832,167,836,091,794,391,635,
111,936,322,927,084,480,325,405,304,521,055,214,182,653,067,611,919,936,849,
842,786,318,823,755,928,222,077,887,190,120,188,652,521,270,915,443,925,224,
871,677,921,239,466,068,221,151,227,987,525,586,385,678,931,698,555,795,122,
920,452,176,309,387,456,513,288,949,744,387,766,939,208,926,044,180,686,361,
639,788,847,525,181,055,072,303,320,946,037,818,424,246,504,764,279,948,590,
979,252,247,851,705,187,336,014,528,755,553,327,486,630,654,811,333,388,654,
863,908,037,384,501,598,130,316,442,575,918,999,811,353,551,453,329,155,304,
561,354,051,027,702,278,704,855,869,284,464,834,428,023,830,682,504,341,391,
253,724,298,891,110,705,074,699,202,897,356,008,700,376,132,438,660,178,829,
941,287,097,828,884,772,319,040,916,417,207,093,719,879,776,585,656,188,828,
656,062,109,624,294,993,013,886,022,029,892,464,082,719,408,625,584,145,143,
269,442,903,696,232,456,185,030,492,924,264,947,738,245,290,292,808,950,102,
344,107,751,251,796,516,181,245,740,879,667,555,474,933,192,950,456,151,890,
848,653,283,344,828,412,227,023,307,891,726,015,625,214,412,531,098,825,722,
774,803,143,420,526,856,364,654,886,643,554,530,000,538,297,334,517,380,737,
265,895,342,951,263,388,213,287,555,727,486,629,120,153,117,103,375,951,007,
343,198,054,202,504,466,495,388,043,027,778,916,769,567,221,504,223,265,832,
357,503,291,683,848,012,204,855,275,516,106,954,199,173,952,739,607,019,645,
157,909,210,281,524,988,811,333,163,841,551,319,131,921,484,252,604,043,018,
068,976,616,067,275,341,504,835,390,879,580,890,970,734,081,954,230,789,284,
501,661,417,060,078,526,526,164,016,910,909,064,756,654,202,207,831,070,861,
250,255,452,013,851,931,806,164,416,908,466,904,003,064,475,933,748,212,516,
091,068,912,610,557,228,338,537,468,830,289,247,490,886,220,393,086,710,749,
954,743,263,172,649,945,180,631,906,345,333,058,939,556,633,341,557,619,981,
564,682,949,458,891,126,594,081,435,035,293,403,002,950,751,143,449,035,189,
615,744,176,230,895,989,377,112,612,692,915,751,397,186,442,819,035,560,471,
844,031,104,563,577,628,697,489,702,969,961,726,286,894,535,897,691,427,643,
660,246,958,603,748,571,284,419,668,060,981,869,888,337,666,670,085,064,694,
777,690,938,141,102,175,580,653,477,144,087,108,375,807,908,630,767,899,634,
058,475,356,096,998,154,912,971,798,298,764,815,963,160,560,664,863,319,592,
059,468,303,983,194,382,955,722,672,510,141,859,578,192,244,041,407,972,987,
055,295,071,956,306,855,549,612,479,493,517,018,036,473,154,872,743,484,312,
221,388,374,354,749,341,618,040,680,924,511,542,723,547,401,985,180,886,785,
095,587,335,874,387,003,745,515,362,743,864,593,033,298,990,939,099,503,755,
882,431,399,223,196,871,408,364,467,065,880,813,375,573,842,136,892,211,658,
723,062,578,321,476,883,883,949,410,340,547,228,101,881,948,677,537,802,133,
755,551,438,753,422,908,241,952,832,111,635,619,801,516,184,783,053,655,339,
477,277,206,681,878,097,422,951,204,999,235,990,423,615,748,368,108,157,600,
140,538,626,386,490,337,369,775,569,153,142,262,123,604,538,710,440,086,309,
827,796,889,849,044,527,163,638,340,818,102,952,130,876,786,381,491,768,464,
238,061,816,214,365,751,217,109,091,397,884,363,136,810,641,008,512,667,841,
489,670,997,134,450,835,769,573,074,416,696,077,243,516,042,464,492,852,100,
233,516,468,073,734,863,539,091,538,444,226,203,492,825,909,895,368,346,627,
915,484,717,227,496,956,591,679,538,405,307,678,604,261,221,654,807,462,445,
947,724,466,047,191,412,323,106,129,189,305,166,793,441,857,195,099,866,924,
155,920,378,804,129,435,152,262,907,407,685,776,513,457,482,055,758,381,078,
113,846,693,134,011,378,994,200,465,163,759,386,509,870,012,027,551,544,272,
922,160,065,459,155,932,062,829,000,280,936,687,407,380,929,276,321,987,337,
947,999,310,433,819,458,229,376,825,974,506,357,053,594,401,267,608,922,671,
774,972,566,825,156,235,982,401,128,487,476,962,131,516,070,809,165,612,715,
996,052,157,519,710,461,846,895,770,266,485,489,993,274,829,846,642,875,781,
755,024,938,914,063,992,987,580,237,649,125,618,383,790,852,358,506,145,776,
776,522,399,952,818,718,733,867,245,585,142,122,305,386,641,611,807,612,894,
238,163,491,052,249,104,566,005,183,744,792,506,883,687,855,350,919,376,826,
753,502,963,220,932,284,915,547,426,814,582,141,947,690,223,588,901,714,635,
289,096,259,800,916,841,356,674,610,896,205,279,035,418,572,705,208,173,520,
981,312,170,590,189,940,030,037,526,221,519,204,745,182,123,470,190,434,138,
209,035,773,806,345,207,067,282,275,555,886,904,390,750,260,705,371,934,764,
945,280,000,376,136,287,224,978,515,864,906,241,949,200,374,788,114,493,292,
226,627,573,290,777,331,161,366,347,128,578,298,101,438,819,424,916,607,018,
982,376,888,073,744,969,712,772,911,101,516,689,038,111,381,737,527,797,957,
461,513,482,822,566,537,152,452,694,395,681,730,558,054,026,942,684,922,823,
818,669,985,461,119,861,612,628,480,849,260,826,394,964,754,455,556,429,828,
976,635,393,966,926,227,305,413,204,692,253,297,776,180,058,273,845,217,744,
442,998,776,239,950,719,368,456,903,196,432,905,749,463,212,813,702,959,952,
672,520,124,711,762,165,925,394,480,147,908,853,457,076,846,746,144,387,445,
095,612,472,085,794,743,156,923,594,506,402,813,998,651,560,229,964,403,982,
050,207,527,424,868,172,032,456,437,350,367,009,744,121,086,773,995,402,311,
427,933,767,084,996,755,767,039,011,375,917,454,306,107,990,348,546,022,692,
755,795,644,635,691,821,444,284,743,389,454,100,745,738,355,708,228,014,286,
230,582,915,575,500,743,296,982,660,501,942,205,216,871,037,689,859,701,931,
138,907,522,436,310,821,066,410,532,150,227,475,595,653,121,482,434,354,923,
403,710,238,121,443,844,558,605,417,858,180,832,011,123,083,519,990,578,513,
292,936,123,870,452,029,694,928,636,105,843,653,471,988,663,800,738,327,842,
564,817,225,856,735,922,407,701,866,272,130,884,517,705,793,726,647,345,530,
650,745,018,433,188,622,009,482,553,010,772,784,257,393,508,426,454,676,924,
270,486,590,996,494,043,653,032,285,539,070,772,883,019,021,073,434,188,649,
932,896,768,191,041,833,133,645,786,626,330,990,508,491,220,851,055,538,042,
343,026,892,263,445,214,135,778,686,867,746,297,150,528,062,881,345,971,528,
636,028,537,046,332,603,844,022,652,579,227,479,569,101,758,766,407,086,646,
028,951,838,695,984,770,186,374,988,150,214,433,945,926,463,919,989,359,485,
778,349,038,679,415,170,617,941,904,625,239,055,442,795,784,570,310,183,767,
424,183,300,220,301,528,440,566,580,616,636,168,454,658,608,281,111,282,892,
050,572,351,619,447,616,363,005,695,216,790,483,416,777,029,191,437,333,726,
845,844,699,542,164,005,229,694,131,607,538,959,212,973,745,385,951,864,227,
480,336,644,164,565,890,553,391,852,674,504,598,645,707,459,557,244,587,799,
222,019,346,098,353,211,504,677,824,311,916,229,477,445,979,093,543,399,965,
287,245,904,923,298,113,036,439,421,747,917,574,389,271,994,664,659,644,154,
790,662,516,168,374,778,166,643,938,763,631,723,714,660,150,237,333,263,278,
583,486,024,995,035,666,204,061,481,509,898,043,495,669,150,566,748,192,071,
111,792,045,237,626,695,384,131,420,312,074,106,088,009,015,211,570,032,618,
469,569,560,583,600,804,834,531,295,777,255,892,630,484,712,081,482,753,869,
434,691,968,741,996,471,576,980,136,333,187,862,814,158,344,557,738,649,731,
298,016,618,283,372,387,266,814,389,266,124,328,449,859,748,072,293,764,830,
236,102,796,661,756,370,603,060,244,501,682,834,497,658,840,653,419,362,334,
560,289,380,793,389,230,113,658,699,230,525,184,554,614,127,144,515,179,279,
428,290,406,035,871,792,258,561,246,775,842,719,610,728,251,378,256,644,191,
819,351,076,696,897,185,386,060,376,526,166,423,536,212,701,372,782,726,624,
615,880,410,693,672,905,848,221,424,181,627,316,295,038,013,559,304,123,454,
545,301,357,005,855,264,195,726,326,463,985,789,310,706,970,995,896,932,223,
744,490,821,573,164,712,566,887,428,522,270,414,710,850,774,469,878,454,047,
448,684,162,067,258,192,577,544,087,483,330,073,576,504,450,635,830,377,985,
598,059,379,555,336,465,645,681,708,356,337,407,946,565,789,277,007,629,990,
895,967,379,073,940,092,104,132,572,277,753,513,784,636,164,132,938,701,145,
425,738,961,822,674,340,038,331,795,628,690,512,779,464,588,530,915,298,396,
281,622,911,771,503,661,048,631,203,006,553,021,856,268,656,586,793,826,615,
612,530,647,881,215,626,989,032,835,529,273,704,600,175,475,686,649,422,077,
768,141,505,058,084,427,846,575,881,665,557,396,443,712,634,465,897,806,717,
810,134,539,996,890,467,600,672,466,811,663,371,069,721,706,802,274,677,222,
719,884,584,068,203,392,297,887,023,905,828,561,431,375,283,810,867,175,940,
654,760,624,918,867,407,051,688,547,687,344,760,761,338,916,438,811,637,885,
758,575,719,756,192,205,799,891,952,511,566,745,012,404,774,009,298,866,730,
046,731,488,311,279,276,058,181,739,750,489,590,726,708,721,494,815,656,011,
602,185,018,065,080,478,173,894,818,495,296,008,303,664,953,556,065,507,852,
737,693,491,459,067,949,371,173,986,961,667,189,231,398,480,387,875,409,492,
950,939,870,973,777,849,122,031,547,938,262,347,844,692,967,418,849,576,025,
478,762,278,807,862,980,245,288,186,882,994,920,107,738,037,095,083,593,767,
148,485,652,575,244,072,541,417,478,795,822,284,223,303,674,806,191,655,143,
482,542,408,656,886,357,233,351,730,182,875,273,054,555,107,225,276,638,190,
996,934,439,969,211,790,657,809,071,567,482,227,236,951,132,824,900,319,712,
311,135,211,879,518,331,285,613,221,436,028,835,918,212,443,027,211,092,085,
812,662,806,150,550,154,960,697,330,727,338,364,951,064,007,557,176,921,976,
411,429,846,050,437,134,749,883,306,820,492,154,846,301,812,484,506,239,708,
670,844,550,969,129,075,085,352,436,229,628,338,702,343,999,132,673,736,187,
454,125,035,788,981,730,361,396,623,157,599,371,894,345,778,248,434,704,099,
345,942,048,151,738,106,775,975,699,321,923,155,593,895,628,461,862,528,569,
897,604,679,636,970,616,380,881,776,981,217,570,297,956,539,482,296,495,176,
749,951,916,516,860,450,238,361,791,330,044,476,337,725,723,831,911,114,880,
273,409,869,258,662,153,649,684,793,048,903,499,574,585,111,595,996,933,697,
863,537,927,666,606,192,486,936,071,214,469,262,591,593,732,538,277,769,267,
504,327,769,205,150,015,208,973,534,549,059,731,041,789,210,500,076,138,144,
817,927,261,966,013,419,041,349,451,949,632,604,762,471,445,592,989,545,164,
049,754,146,527,018,378,639,730,259,066,857,462,606,257,905,338,762,761,076,
396,419,712,358,153,126,304,913,505,552,669,536,072,380,945,278,772,949,969,
290,517,209,321,979,516,761,309,998,955,341,926,424,734,912,003,327,741,697,
833,079,913,022,587,816,628,882,000,904,161,702,136,153,346,922,603,190,016,
722,794,109,072,178,720,167,667,720,874,388,670,334,742,259,860,630,902,647,
314,536,818,897,322,484,242,099,873,785,482,914,094,341,158,730,923,667,275,
638,295,769,449,840,074,282,260,918,465,879,644,923,518,011,934,229,556,466,
072,464,043,652,798,391,968,775,048,150,215,377,852,695,173,064,031,855,993,
449,179,448,376,243,220,832,287,316,166,157,501,987,961,210,081,289,634,612,
065,302,505,694,223,310,858,478,918,451,861,426,020,568,075,960,611,185,656,
340,969,615,705,607,559,513,420,798,299,954,058,022,438,112,509,782,330,349,
604,820,422,849,321,217,982,836,887,491,373,560,558,667,001,344,442,792,078,
087,753,989,365,525,999,297,961,825,758,813,151,928,410,774,278,337,266,438,
805,992,402,893,082,536,508,351,153,445,114,678,074,947,138,833,404,251,965,
478,522,067,470,760,373,444,630,856,647,415,796,413,596,364,260,210,993,468,
312,809,743,662,172,776,467,157,618,040,841,364,010,538,356,269,472,738,563,
471,148,362,886,812,213,097,311,848,931,154,910,465,780,159,741,982,661,913,
660,648,874,692,364,526,752,001,701,955,332,417,045,222,842,076,712,854,994,
746,950,934,877,966,414,448,242,396,070,785,953,920,713,573,822,274,665,180,
397,988,354,803,293,371,839,830,267,256,792,055,921,047,583,759,536,621,630,
356,781,690,258,340,783,767,863,882,636,970,766,963,093,972,876,208,096,362,
477,910,607,059,317,148,605,341,022,450,815,488,937,142,250,531,815,218,040,
300,455,176,599,770,745,373,854,598,033,867,716,033,260,258,855,353,467,148,
378,180,532,104,568,864,736,795,516,788,747,606,105,863,899,864,664,023,319,
769,239,186,275,396,432,607,766,244,096,926,991,124,963,033,737,501,696,605,
317,205,302,184,333,243,115,739,542,932,386,608,097,924,187,716,595,225,297,
367,717,532,713,506,448,077,722,120,083,036,233,390,590,294,061,479,180,206,
510,496,650,075,832,537,640,657,873,148,912,812,975,909,354,447,378,608,866,
141,841,001,741,743,812,052,884,783,348,368,753,055,851,569,910,410,550,712,
309,610,696,329,241,863,222,750,512,412,918,220,215,765,403,960,083,875,766,
350,190,638,645,350,455,651,493,430,240,625,396,048,106,595,337,338,817,884,
503,652,823,134,869,214,054,047,191,895,557,301,909,336,710,758,530,125,483,
005,695,873,948,169,473,299,435,754,299,166,911,169,081,539,736,546,682,797,
482,427,598,710,164,653,847,622,202,242,964,668,985,060,987,157,953,357,780,
098,766,925,746,154,867,949,790,939,108,041,630,798,557,031,370,950,183,387,
868,541,088,152,678,343,725,302,230,879,807,723,097,498,505,808,900,315,643,
326,464,471,329,795,907,534,572,021,506,038,622,304,133,850,393,727,172,179,
132,732,087,905,133,183,820,074,588,698,499,355,243,488,515,735,847,990,822,
073,207,759,079,983,601,165,570,367,959,159,980,755,077,659,336,445,679,519,
065,519,484,076,846,958,079,762,199,790,458,035,214,490,099,293,964,994,207,
798,503,583,539,667,285,871,742,659,766,740,410,890,825,266,216,828,093,677,
415,633,739,297,170,857,202,417,573,232,097,336,438,413,727,409,143,714,865,
524,899,697,988,732,840,192,243,324,773,479,278,890,504,624,199,052,066,461,
820,338,532,626,572,895,420,066,090,117,714,156,478,249,701,790,829,747,923,
078,985,551,201,817,404,350,134,779,292,960,118,499,304,738,241,637,371,663,
919,844,620,520,217,505,007,174,258,556,398,936,023,076,369,439,166,495,917,
439,107,111,192,007,664,268,258,935,608,317,128,837,380,623,524,942,323,640,
058,618,103,082,595,979,429,629,753,372,862,404,276,502,344,950,785,225,002,
835,960,849,450,595,288,427,829,578,509,729,817,079,774,880,152,352,086,680,
122,429,116,390,390,861,125,096,273,793,061,089,782,811,110,115,980,477,566,
865,810,253,455,788,051,206,607,837,082,369,700,525,862,735,892,161,076,409,
009,903,989,493,225,962,158,287,783,283,693,779,677,881,438,426,427,427,653,
908,681,283,273,562,217,642,547,525,965,539,374,910,398,356,450,431,044,046,
648,800,126,932,185,800,652,615,897,388,653,181,914,640,796,876,561,464,228,
294,528,115,540,167,553,795,605,856,464,165,797,031,602,001,529,705,497,957,
224,993,923,167,962,324,529,998,732,861,348,118,233,178,030,204,679,000,157,
446,552,649,285,699,028,749,824,113,420,193,824,098,666,669,475,606,635,606,
992,626,821,478,584,112,193,176,050,940,762,577,803,208,963,877,637,160,704,
877,065,620,072,586,655,752,441,456,773,227,763,033,283,430,640,283,494,701,
059,196,451,998,768,681,352,083,757,120,694,292,902,946,124,294,163,042,477,
281,454,734,179,549,651,841,946,096,972,660,937,624,828,631,846,697,092,082,
100,799,664,978,995,624,972,216,694,090,707,536,318,681,125,513,614,501,281,
180,270,074,315,925,372,587,404,903,682,917,393,766,716,369,448,512,595,685,
492,191,195,832,323,915,083,030,125,184,482,143,833,457,581,822,681,966,305,
384,045,752,002,613,183,121,606,718,722,299,174,750,652,584,210,318,725,702,
410,219,504,898,503,963,846,843,259,036,808,922,018,468,799,749,465,654,519,
858,949,571,892,304,344,707,482,298,642,534,380,914,163,888,943,861,732,709,
948,140,401,679,402,611,302,134,515,691,195,297,004,550,881,998,966,179,572,
277,246,702,736,186,688,461,168,101,521,108,419,968,921,189,589,543,494,879,
404,494,598,969,400,817,999,385,081,799,761,408,479,723,587,059,506,309,761,
134,581,077,850,498,146,613,082,643,843,966,219,459,768,868,902,841,725,429,
961,588,545,770,441,229,489,904,322,403,319,608,700,892,593,329,948,990,529,
237,860,742,919,239,792,626,442,848,525,163,600,372,820,644,769,357,557,002,
195,643,217,531,089,422,282,716,342,339,815,247,392,793,716,927,494,779,128,
455,458,796,211,787,305,235,327,065,193,671,819,912,514,138,903,337,224,935,
958,822,337,800,141,090,844,204,032,332,187,271,109,471,775,573,595,552,853,
986,890,194,227,390,340,156,513,653,555,529,221,244,408,565,825,001,583,978,
327,897,879,937,128,493,404,302,949,897,357,816,693,395,270,326,083,981,991,
258,747,129,032,383,762,317,828,283,671,954,862,954,392,196,351,001,442,108,
772,751,939,567,750,257,467,028,346,351,286,575,413,823,264,025,950,711,180,
358,051,339,833,342,373,396,794,397,843,826,265,022,360,934,678,653,151,475,
924,607,528,122,417,995,448,824,381,941,442,588,762,569,788,324,765,989,635,
178,795,837,974,968,907,516,161,032,930,688,710,310,771,845,731,031,863,328,
968,894,070,779,161,414,049,257,024,665,323,632,495,024,671,861,355,175,216,
821,202,501,451,883,232,076,914,417,779,810,219,278,547,352,211,239,218,246,
797,600,687,604,008,670,909,504,018,053,138,407,013,633,109,406,069,138,405,
935,207,786,865,307,756,095,140,825,847,289,822,776,467,028,350,295,139,926,
684,026,348,743,638,571,625,118,084,291,432,605,202,503,296,937,437,573,396,
619,851,923,271,426,057,707,455,104,334,735,256,981,355,386,449,967,186,422,
776,923,529,046,760,447,626,219,265,906,129,384,417,466,599,339,336,640,492,
261,757,846,590,009,904,924,536,910,316,335,541,995,291,547,908,726,757,949,
896,948,031,219,429,807,567,826,702,752,531,173,292,802,989,636,824,733,355,
518,685,751,965,165,641,230,493,376,317,881,180,643,776,039,428,370,736,775,
802,763,971,937,291,667,572,366,448,936,173,460,884,213,759,635,451,307,636,
728,067,697,828,467,186,531,935,942,380,082,692,094,719,779,760,464,016,751,
426,163,378,759,436,442,217,186,099,820,114,753,828,963,857,038,990,454,938,
118,046,160,159,123,351,818,840,888,798,465,674,374,331,909,010,812,315,243,
951,209,073,281,307,296,665,999,478,694,953,720,736,207,329,435,775,609,414,
796,586,239,625,198,575,668,967,676,634,178,308,037,168,887,030,627,919,827,
498,990,165,273,200,702,321,601,039,206,846,921,859,062,088,448,544,705,401,
607,361,592,759,947,751,568,987,351,544,959,218,475,143,863,665,080,229,789,
560,956,108,022,922,494,940,392,731,477,847,864,055,309,672,719,956,556,839,
152,437,361,854,762,151,385,055,420,592,390,825,910,102,461,827,841,351,418,
138,438,797,252,080,329,027,913,267,734,207,153,344,174,276,897,690,689,161,
201,497,219,729,674,496,037,413,215,700,764,150,961,541,389,962,812,569,029,
743,071,314,360,276,438,551,123,449,460,030,061,347,649,781,208,243,359,281,
818,197,550,885,663,339,940,573,964,038,650,993,152,529,630,085,713,599,460,
971,953,736,640,780,941,355,769,465,700,773,426,552,510,770,892,144,766,119,
226,061,503,276,049,856,668,906,473,685,767,110,830,017,060,508,025,667,598,
691,296,963,867,094,576,154,372,853,596,987,485,676,345,960,238,567,475,920,
671,555,492,219,040,237,565,047,996,635,577,600,538,826,260,594,641,623,499,
070,758,153,963,353,741,630,253,979,209,433,502,432,354,876,647,445,036,727,
998,007,540,582,368,144,441,800,331,958,430,248,526,622,063,053,987,379,513,
904,682,270,378,454,058,629,375,120,084,628,534,968,536,198,166,488,564,747,
025,411,915,092,079,741,396,763,140,314,028,004,080,261,441,036,926,326,793,
615,375,456,750,153,708,824,172,531,580,888,811,018,107,893,756,724,150,677,
341,624,183,340,846,782,706,575,080,948,725,427,301,650,738,454,475,638,143,
663,282,305,704,596,711,488,827,378,367,230,478,260,524,097,318,629,040,922,
449,859,251,845,239,423,541,173,543,459,908,750,477,419,424,778,050,640,519,
128,900,454,397,602,568,361,564,221,401,409,139,567,747,408,281,684,983,336,
638,882,472,168,994,818,853,089,913,043,163,341,702,965,308,365,101,226,585,
682,456,953,518,988,310,115,185,291,595,143,516,000,626,508,567,811,288,040,
127,122,924,381,709,543,184,935,716,427,711,708,726,465,239,871,419,918,166,
800,820,106,504,077,893,572,041,127,726,461,158,000,811,260,713,276,678,500,
513,892,985,422,415,306,944,208,504,050,372,882,454,097,988,322,066,992,734,
134,815,155,882,119,215,966,962,581,960,063,541,784,237,366,226,299,407,249,
968,163,170,586,974,068,384,501,371,946,022,390,150,596,448,206,506,103,928,
026,322,347,663,268,450,738,760,002,222,691,302,421,315,666,657,446,562,142,
862,176,192,408,360,803,469,375,254,789,811,969,820,241,681,166,145,693,621,
904,708,299,446,964,644,625,701,356,033,279,292,232,133,049,916,767,546,964,
813,266,836,700,480,330,631,358,408,298,538,293,734,591,209,471,821,958,960,
737,951,797,019,909,348,511,823,664,136,740,933,819,536,386,487,909,478,928,
546,593,553,434,012,701,683,482,957,434,685,337,834,635,898,616,548,020,060,
113,265,504,376,106,082,702,374,319,772,345,579,005,784,015,853,106,996,768,
083,711,950,920,890,248,318,949,888,597,583,918,285,106,503,053,034,965,753,
402,027,756,888,152,529,761,148,994,676,678,655,538,395,720,578,744,589,833,
290,688,645,622,811,593,540,649,266,697,520,183,034,458,553,095,845,982,294,
063,537,428,823,445,805,578,968,599,918,071,199,151,624,949,265,219,527,397,
097,485,015,508,494,102,183,978,419,115,612,219,107,531,365,452,852,208,547,
919,793,326,368,413,050,852,203,988,377,234,475,377,658,437,695,129,309,181,
958,210,569,163,412,743,800,028,675,000,891,540,961,571,273,404,545,111,097,
656,995,929,362,624,556,798,837,435,464,674,479,673,143,241,055,346,599,233,
565,576,462,967,661,046,831,122,442,076,136,674,453,830,780,959,585,516,189,
633,027,978,090,785,281,524,075,822,139,113,260,095,405,062,053,717,352,967,
820,427,795,989,907,822,928,317,026,596,444,578,239,167,885,302,417,306,328,
575,874,201,681,218,510,030,698,970,042,349,048,369,010,418,835,280,333,245,
694,026,372,177,998,473,283,586,192,317,154,085,436,311,260,603,356,079,824,
733,754,872,212,396,444,796,751,618,312,753,934,223,667,362,655,505,833,207,
766,272,790,918,646,424,775,294,634,180,996,173,747,302,930,436,095,990,778,
727,061,510,020,847,287,591,876,952,288,845,983,452,587,675,801,511,932,131,
985,948,250,159,664,648,786,760,364,734,605,598,362,469,837,440,870,820,643,
447,241,930,556,878,064,623,981,473,644,343,508,146,721,107,724,138,072,093,
133,903,646,765,313,750,489,949,436,644,015,716,231,221,418,916,486,461,249,
248,697,350,893,684,828,522,328,902,262,005,459,079,505,627,473,236,897,831,
209,245,856,089,656,537,845,106,334,622,314,235,746,730,623,776,524,051,027,
675,103,119,901,778,356,667,715,646,186,816,251,187,301,364,767,507,497,650,
670,162,818,943,396,691,644,096,006,284,965,968,828,839,572,614,545,712,313,
413,589,573,102,530,634,451,838,796,533,513,798,529,730,532,506,525,226,229,
496,433,016,508,698,363,260,913,785,861,477,928,958,428,966,270,886,829,525,
154,529,523,002,268,860,033,346,700,451,960,926,885,779,669,088,501,552,861,
114,390,846,705,023,531,124,780,688,144,015,899,548,375,520,221,572,672,356,
925,207,619,475,810,639,385,943,298,369,108,880,751,708,260,878,430,876,409,
213,697,460,769,567,435,088,960,346,203,510,936,433,704,152,365,329,142,134,
347,576,013,509,329,048,599,088,762,022,505,392,422,265,786,946,327,234,743,
992,520,619,816,897,458,224,985,125,800,988,491,858,983,565,899,092,504,246,
243,538,325,339,016,962,255,424,481,972,632,134,775,673,294,806,851,103,332,
306,678,484,572,560,354,048,008,996,065,648,901,726,355,403,954,124,678,279,
156,754,900,739,878,404,060,046,018,992,629,561,763,567,287,285,095,521,969,
341,931,438,094,440,491,157,790,029,525,447,146,181,721,594,648,597,532,167,
815,636,471,123,624,799,693,577,779,396,402,715,893,943,888,231,767,861,195,
819,967,541,723,278,465,607,469,844,883,360,954,163,003,140,041,643,675,440,
907,874,302,566,263,039,090,863,555,640,652,875,739,543,551,896,512,467,389,
500,949,008,071,830,218,544,555,647,246,099,177,637,249,881,981,827,549,197,
260,646,378,263,709,011,036,954,497,747,520,606,362,164,463,755,311,137,270,
983,631,287,515,654,232,752,042,446,196,068,016,793,021,584,747,883,239,377,
782,310,844,517,237,461,666,375,987,268,151,546,374,806,759,801,639,921,592,
376,130,413,654,901,498,534,800,609,520,821,598,840,962,916,767,811,479,748,
406,539,921,404,479,491,829,023,974,528,428,500,592,961,295,784,929,190,511,
401,345,527,394,547,995,246,114,389,138,829,494,528,968,411,994,863,413,479,
982,357,735,607,368,018,369,482,894,538,038,770,178,861,358,147,294,014,223,
780,291,145,532,194,892,614,203,828,318,343,572,099,021,413,042,158,397,912,
051,755,951,197,927,610,199,970,974,805,010,763,118,428,814,131,264,062,531,
016,520,274,825,155,117,430,584,986,482,129,477,757,504,708,027,240,006,631,
428,293,107,484,519,551,234,995,014,598,847,179,009,018,731,515,785,419,603,
717,149,309,555,290,345,693,033,984,035,382,118,554,549,804,469,164,318,215,
882,271,811,709,785,622,297,272,076,236,777,557,059,939,328,013,157,886,923,
268,585,020,791,065,733,794,395,061,655,702,441,330,796,225,633,369,162,640,
487,723,889,117,546,856,102,746,536,719,149,563,295,302,719,830,592,567,314,
514,852,184,297,360,734,744,054,173,200,900,500,188,504,839,899,471,926,289,
344,175,045,571,287,417,000,791,553,956,145,260,232,066,432,169,313,416,843,
471,346,741,841,203,600,645,804,691,474,761,750,913,071,488,674,752,987,618,
474,395,912,047,278,323,586,402,811,526,079,530,124,231,974,245,590,823,299,
207,246,137,654,252,864,545,402,290,150,362,679,559,140,601,251,986,493,718,
446,628,762,148,088,530,878,757,787,390,577,219,285,673,464,664,096,107,278,
107,639,710,935,607,826,846,787,750,610,429,957,029,065,174,732,926,354,637,
327,175,677,383,251,833,892,338,921,460,454,885,821,761,877,302,011,661,251,
210,484,679,160,794,091,194,494,438,205,255,752,324,829,127,029,196,393,908,
420,656,105,640,713,753,464,941,211,208,628,123,562,825,668,096,358,308,632,
481,674,370,122,686,250,060,148,330,597,770,703,006,719,054,979,142,620,461,
691,027,907,935,304,894,289,030,986,921,761,414,527,074,748,275,344,941,908,
163,823,938,586,791,373,269,023,692,026,083,591,315,702,069,673,096,721,827,
692,247,303,686,683,587,503,854,084,355,508,389,130,897,146,174,992,073,680,
177,795,579,721,509,892,793,515,659,296,433,475,097,718,870,338,895,096,906,
918,971,216,071,530,262,511,356,780,445,000,339,951,900,293,438,649,982,578,
680,745,833,465,707,143,692,908,509,378,923,118,791,646,333,614,862,928,054,
541,036,181,083,065,884,816,384,412,111,041,065,517,720,078,681,632,395,945,
051,320,172,362,368,101,934,531,532,693,414,420,864,082,621,630,313,265,359,
689,066,488,663,772,369,565,418,282,819,017,047,557,702,214,962,514,289,965,
218,001,411,684,675,211,730,841,401,244,955,689,390,532,109,529,490,955,054,
292,034,269,205,647,225,604,031,504,627,271,373,811,461,786,308,180,174,379,
152,412,632,559,894,329,018,172,566,743,830,719,606,087,445,411,357,744,054,
009,655,332,691,490,273,304,210,262,689,836,863,196,620,754,547,917,906,556,
322,765,751,571,187,121,957,113,357,732,690,214,059,452,070,163,252,209,147,
069,219,636,947,517,674,699,609,579,969,704,956,773,029,880,388,182,122,802,
527,939,828,932,702,406,378,942,078,073,065,697,963,503,210,163,461,037,231,
651,547,272,991,417,537,285,658,423,680,930,285,493,681,476,231,006,053,497,
559,002,664,095,675,009,931,819,827,328,792,713,481,440,772,793,075,667,348,
944,523,112,663,230,045,229,613,311,643,698,723,481,966,825,574,436,714,865,
716,083,480,518,649,733,769,828,571,227,857,854,986,394,046,425,672,403,811,
429,723,238,422,745,321,270,501,486,658,521,748,529,988,905,175,186,073,384,
611,561,849,146,189,797,781,334,518,189,420,131,150,464,480,372,960,800,380,
320,311,334,923,670,062,643,246,438,383,681,595,930,204,543,298,847,917,167,
123,692,742,102,072,107,533,370,438,484,954,538,437,764,897,679,596,248,350,
589,319,920,936,511,091,050,976,052,020,995,925,968,943,580,870,708,211,727,
604,994,846,210,546,405,225,477,363,154,726,758,843,077,312,622,770,203,989,
968,918,645,101,114,577,580,212,280,731,646,582,650,940,541,941,344,630,027,
699,147,751,787,322,865,642,726,509,165,515,544,054,395,011,736,788,572,733,
808,023,508,194,073,473,707,098,269,452,467,954,463,557,437,095,714,874,317,
785,376,908,660,945,097,494,158,774,890,247,070,848,882,695,224,220,278,190,
411,019,253,214,108,754,318,297,987,466,749,730,488,772,240,485,589,099,095,
206,486,637,459,336,606,382,536,477,474,247,358,430,748,690,610,266,288,909,
124,685,517,364,100,354,589,341,723,243,379,333,111,010,730,988,624,548,816,
092,757,170,552,056,934,187,269,201,279,806,330,984,837,798,363,488,016,014,
650,527,109,155,402,375,871,389,740,238,318,208,756,260,111,183,600,420,333,
477,253,286,992,233,153,759,334,027,662,568,984,568,155,653,506,331,130,664,
274,499,126,432,144,349,895,724,593,440,878,868,928,751,753,351,494,791,953,
229,920,176,259,599,583,121,568,499,154,655,240,176,397,468,737,656,660,333,
638,501,536,997,269,690,283,832,096,345,250,937,681,002,549,664,144,882,218,
273,207,163,849,112,362,871,320,692,858,441,749,965,162,230,564,131,313,875,
953,292,753,116,641,935,656,260,162,907,158,995,713,290,661,453,025,609,746,
586,064,326,140,775,186,756,161,605,643,741,579,113,158,402,218,642,894,280,
648,412,839,711,118,595,416,653,421,357,890,420,960,402,503,608,060,306,968,
830,553,692,295,039,084,298,862,323,033,597,088,811,248,554,419,436,981,300,
616,168,342,410,904,618,633,036,573,939,656,000,616,060,990,737,385,861,591,
361,754,318,027,320,384,683,197,399,584,287,211,888,107,905,026,237,084,409,
036,233,598,061,468,650,249,954,726,961,184,621,990,102,287,539,654,333,226,
283,209,315,732,387,066,760,396,392,245,326,978,046,020,361,029,003,567,181,
384,452,734,350,586,455,937,796,770,947,138,094,852,350,136,116,479,112,211,
058,550,144,306,878,091,979,187,565,529,904,097,586,701,750,866,417,745,087,
728,643,560,518,774,556,112,867,233,094,716,988,837,563,191,589,524,485,333,
241,481,545,925,089,886,141,608,492,238,054,976,070,782,381,998,032,321,435,
377,349,392,064,760,333,829,135,490,077,366,259,256,578,499,199,084,990,075,
963,197,435,723,947,450,739,125,642,449,686,940,552,069,820,632,088,449,925,
639,664,864,901,341,973,470,389,918,067,243,534,313,433,339,283,646,739,194,
518,983,911,397,184,090,843,855,427,874,945,720,593,651,523,566,603,010,896,
382,290,206,982,744,771,286,495,177,637,859,578,861,047,857,321,637,630,046,
338,258,423,106,197,704,186,134,299,194,698,711,761,817,876,554,898,133,349,
171,419,967,364,321,933,204,918,520,874,975,688,993,900,408,569,524,578,727,
841,915,800,689,474,275,782,407,780,679,807,657,339,485,827,670,072,459,728,
438,299,738,272,513,748,701,663,435,133,410,561,945,402,073,327,609,086,652,
744,606,739,674,491,543,103,129,202,236,504,679,297,697,744,514,781,765,218,
852,175,689,565,457,763,345,312,427,667,247,352,344,656,502,760,447,502,748,
036,385,801,113,202,949,590,393,838,617,843,057,336,846,079,216,959,687,534,
732,835,157,567,388,444,000,953,901,030,684,912,498,001,045,708,076,909,636,
559,114,644,482,290,018,688,397,515,803,069,682,599,264,861,906,115,606,597,
393,331,130,553,034,560,805,403,158,069,636,269,489,727,005,600,552,074,101,
131,455,274,737,808,303,509,835,445,078,648,195,598,056,351,538,096,406,268,
679,699,628,804,090,146,060,499,843,171,034,453,107,520,360,798,653,742,570,
805,651,367,908,727,033,939,933,115,815,521,142,738,974,304,129,023,632,959,
102,119,739,077,782,836,724,502,859,827,224,833,237,222,081,347,857,536,994,
869,546,483,393,039,725,774,551,646,871,137,570,664,146,797,365,653,314,383,
691,131,805,825,471,972,470,185,301,991,090,834,560,816,872,246,524,307,356,
288,944,658,953,542,126,550,929,874,522,831,605,430,527,075,880,763,618,566,
349,300,903,263,739,120,216,582,177,715,630,166,909,403,541,386,237,557,972,
750,292,239,956,988,637,892,150,359,785,321,521,792,935,130,545,600,331,362,
325,243,526,623,929,416,297,556,849,771,079,586,000,835,266,371,119,210,701,
429,391,465,695,224,358,891,423,960,902,953,308,878,965,995,116,500,619,906,
521,233,725,856,613,528,027,698,511,900,264,920,307,996,166,348,521,509,297,
093,400,505,229,600,207,081,269,300,289,883,087,352,199,828,285,081,629,431,
036,750,590,542,364,904,604,768,851,429,435,451,709,668,384,506,757,468,354,
933,880,869,928,639,224,675,200,474,769,768,974,243,978,624,526,894,653,174,
971,166,997,353,896,104,207,226,662,680,159,252,832,926,771,922,833,774,218,
736,030,981,369,393,010,586,045,651,699,571,898,747,976,639,928,584,562,520,
464,228,957,122,581,739,306,800,508,936,619,788,872,569,541,814,441,271,362,
681,081,140,997,640,437,665,713,425,485,540,148,791,602,420,803,736,768,748,
240,240,388,492,493,333,223,924,360,434,326,439,580,379,313,569,767,514,415,
703,390,041,806,482,161,775,575,088,580,559,935,500,583,702,026,991,264,579,
652,193,227,725,989,529,454,952,008,989,322,398,389,093,833,165,936,430,106,
498,829,493,671,061,098,157,403,872,014,731,980,300,889,236,536,403,257,253,
178,340,043,253,064,786,874,684,614,978,282,860,249,257,340,837,004,402,969,
118,853,129,351,379,654,737,548,964,255,841,315,820,010,158,305,878,090,672,
548,669,219,145,928,000,828,711,646,126,296,541,640,049,356,700,134,810,659,
106,180,494,631,577,908,379,251,221,534,166,428,167,179,037,936,050,429,730,
919,046,414,034,271,220,022,156,175,841,016,224,568,610,454,755,679,823,851,
209,030,106,323,524,105,232,410,706,349,204,342,410,889,931,371,682,410,411,
024,862,968,796,153,348,113,321,957,836,958,862,169,271,166,087,563,422,703,
392,380,923,001,546,047,850,734,215,312,425,691,094,256,901,700,870,362,066,
707,565,341,492,307,556,947,159,676,054,915,829,931,363,990,934,868,465,898,
846,144,416,373,567,436,649,973,514,965,148,221,240,773,638,933,962,746,017,
172,523,736,015,289,071,749,782,259,845,049,647,116,374,774,438,208,049,091,
798,359,397,989,213,101,155,078,641,454,788,077,193,791,437,817,517,200,491,
867,417,953,704,565,961,295,233,171,662,938,390,452,079,994,861,545,536,929,
824,482,406,188,653,483,772,931,236,697,389,737,404,963,632,196,603,673,094,
415,656,882,939,057,906,569,233,823,129,842,836,028,576,207,741,908,637,464,
886,982,918,707,226,925,688,476,674,420,440,028,223,079,007,105,752,317,542,
797,298,925,976,861,530,034,461,925,500,752,079,298,838,569,873,041,673,337,
522,338,620,072,290,575,573,893,692,521,704,590,280,043,832,257,305,058,203,
238,066,765,965,443,546,655,515,900,886,789,126,245,722,369,477,007,450,334,
706,511,253,490,825,538,868,814,166,655,149,962,877,245,929,050,937,965,930,
672,667,472,068,289,372,182,510,597,093,687,735,771,292,178,180,845,624,358,
724,736,155,481,625,145,735,017,475,552,997,469,359,066,370,680,568,137,377,
654,107,798,354,082,026,271,525,603,651,284,113,589,109,591,959,421,948,582,
094,927,868,735,961,542,509,887,437,095,431,450,787,765,772,972,586,556,056,
822,719,477,146,455,738,147,371,844,849,050,060,211,606,667,251,358,014,389,
346,819,680,161,134,007,549,255,718,014,348,555,912,267,685,434,703,409,755,
164,139,667,587,581,571,641,209,902,454,928,996,251,847,794,437,954,581,777,
290,016,466,826,658,942,146,638,924,835,097,533,392,669,211,558,273,280,519,
693,355,133,214,505,669,257,669,121,253,954,876,281,709,744,125,062,390,348,
753,771,037,463,201,918,030,229,166,261,254,246,917,945,773,671,960,150,497,
296,967,932,303,684,956,202,781,396,307,980,328,019,914,112,409,696,422,469,
410,997,551,666,965,355,992,615,648,769,614,451,187,328,589,395,192,718,098,
701,064,912,069,823,982,276,623,786,490,261,221,148,796,313,961,657,704,645,
568,835,740,000,005,019,386,587,534,703,100,312,052,079,601,546,028,995,729,
585,031,063,420,952,309,010,251,747,169,037,248,993,731,344,254,027,335,305,
569,370,394,220,990,807,306,070,353,457,725,324,120,505,470,163,164,062,117,
316,611,947,252,554,644,020,773,920,924,254,604,218,139,886,239,192,073,518,
183,526,706,135,372,100,050,910,257,349,586,216,434,773,714,772,552,013,566,
805,463,959,030,705,831,493,659,414,028,949,211,279,263,493,308,341,469,854,
404,496,375,219,848,356,337,447,662,301,629,252,485,182,808,537,122,234,256,
708,897,446,624,418,420,703,224,867,907,270,478,097,321,356,340,062,035,489,
548,292,742,596,519,084,906,738,610,066,047,610,557,586,970,756,263,426,451,
771,169,812,911,225,982,160,361,988,623,923,819,337,702,578,600,628,330,669,
922,902,242,407,278,935,737,934,413,642,547,218,021,822,420,448,024,172,334,
594,613,392,107,185,311,994,711,235,577,129,892,426,547,017,621,068,869,718,
067,758,669,124,618,765,792,196,071,018,266,408,060,746,873,923,162,855,749,
866,264,088,767,065,210,661,210,591,597,211,668,465,034,029,436,981,039,009,
560,308,462,796,658,670,279,327,872,881,842,364,039,896,240,016,582,669,602,
567,446,918,866,108,951,589,008,744,341,326,243,347,600,752,953,361,415,539,
098,934,483,805,214,985,918,821,222,545,387,325,320,686,128,348,802,404,463,
930,381,066,221,097,245,434,344,107,233,181,494,479,294,972,377,003,467,986,
817,867,999,930,764,462,898,951,567,461,041,372,754,261,685,487,378,392,791,
881,795,015,634,239,770,958,615,263,646,080,078,172,333,094,852,439,164,105,
215,131,975,456,669,501,672,411,413,466,793,339,724,134,920,249,421,002,699,
549,841,139,656,191,901,707,116,833,043,517,441,917,561,596,611,949,165,814,
210,852,474,055,142,658,221,015,920,686,705,446,927,766,118,189,382,882,454,
113,324,580,374,413,178,650,185,979,846,084,215,940,649,883,097,431,094,395,
641,088,756,021,740,970,152,560,261,355,151,131,575,454,961,309,552,292,820,
313,253,122,294,072,619,986,057,757,583,534,198,558,159,965,152,720,777,570,
291,364,342,417,070,341,342,860,660,620,124,330,445,047,408,101,905,086,960,
660,452,347,371,656,749,179,624,040,797,315,863,259,801,875,107,608,109,618,
915,871,319,506,389,283,521,932,538,242,370,972,396,582,565,552,905,915,289,
880,708,023,594,754,182,333,752,807,198,674,014,337,977,038,814,797,744,162,
842,791,387,146,188,317,876,877,805,719,346,870,252,920,268,499,401,820,091,
960,871,612,282,348,678,906,671,985,761,144,891,115,818,024,315,396,196,356,
040,221,660,884,679,826,686,456,590,138,105,850,928,106,223,481,618,628,416,
210,613,205,101,467,491,637,777,717,489,350,600,799,278,770,252,754,813,548,
557,345,504,807,573,626,516,130,190,730,160,662,909,786,552,153,385,057,196,
671,180,547,599,983,226,834,211,799,456,119,370,682,995,545,833,990,325,075,
134,505,224,641,181,818,029,601,578,943,786,351,020,400,469,868,671,940,673,
761,676,969,703,458,458,916,987,796,672,758,319,017,124,742,969,318,898,816,
357,416,340,325,289,353,927,391,338,568,074,321,547,587,961,492,371,043,170,
721,228,297,183,567,347,469,203,330,792,169,856,039,435,977,043,580,220,071,
547,067,735,902,860,094,451,994,747,830,520,156,715,669,964,797,975,210,395,
245,584,965,565,586,938,639,618,186,423,168,866,452,858,826,747,107,861,896,
578,212,961,192,006,249,094,393,445,175,262,957,064,632,173,908,675,517,761,
737,019,714,337,014,326,915,509,057,830,687,226,240,446,768,312,672,289,931,
520,609,059,207,238,177,214,524,974,135,858,560,907,853,299,447,255,288,361,
950,531,030,776,694,492,129,736,668,569,289,316,001,128,650,086,345,903,547,
875,835,635,522,967,413,989,736,018,708,021,336,638,285,176,981,138,481,087,
261,576,914,564,630,068,182,607,263,671,682,414,234,871,738,258,466,226,482,
193,500,029,293,137,015,768,460,547,762,364,726,799,796,762,379,617,937,067,
925,567,031,965,150,723,849,751,668,426,317,847,859,832,062,654,115,261,986,
774,677,242,695,458,731,241,897,590,249,460,959,287,569,926,678,294,317,268,
338,670,758,573,719,179,541,912,687,593,510,963,372,923,676,327,921,876,465,
008,932,022,855,852,478,181,260,562,479,533,796,249,527,118,878,991,698,745,
787,588,282,240,581,541,057,145,926,346,099,726,867,190,530,713,955,418,483,
594,602,702,663,676,849,601,653,185,219,048,864,645,032,053,303,541,276,261,
791,397,122,062,248,586,786,027,587,514,041,781,229,069,491,938,604,842,873,
246,696,888,728,537,181,086,164,508,830,145,367,246,556,488,073,288,305,487,
685,083,040,094,839,686,420,839,646,609,305,420,314,154,624,301,863,542,107,
405,309,721,805,847,050,684,818,594,843,839,282,722,912,891,811,516,635,375,
487,412,312,937,587,013,074,293,374,854,507,013,694,725,873,236,960,148,375,
040,296,280,779,048,013,313,838,471,388,339,545,252,296,440,165,444,746,496,
663,595,701,884,246,774,539,473,504,648,274,272,047,567,663,773,300,724,772,
623,835,185,734,904,583,766,202,410,568,938,202,334,160,988,360,110,520,354,
526,955,715,575,173,076,956,313,325,415,773,384,283,475,545,670,709,217,594,
583,793,879,562,310,869,858,858,273,746,496,078,796,129,952,485,436,690,167,
398,653,286,433,023,382,313,426,216,094,014,348,010,974,246,572,725,966,962,
395,450,948,007,665,764,733,770,098,850,665,897,367,664,439,755,235,553,009,
565,243,274,150,505,966,938,964,426,596,087,481,339,310,920,273,059,700,664,
297,933,569,127,250,348,369,880,384,157,120,772,008,308,616,490,740,522,417,
766,769,975,700,852,393,434,501,814,345,248,674,450,326,922,408,662,770,471,
749,332,746,542,335,253,388,770,318,887,542,411,755,429,238,847,866,446,829,
871,132,502,755,830,154,131,189,530,533,300,036,205,409,619,935,600,724,105,
397,064,003,176,132,912,451,544,282,429,525,337,673,417,109,130,066,941,880,
981,367,934,540,814,531,460,712,158,543,565,759,816,553,478,369,544,921,692,
095,249,157,097,387,866,543,823,121,308,195,346,963,682,198,325,431,200,716,
629,283,299,872,560,508,020,099,512,505,390,301,415,747,475,381,010,232,998,
188,298,373,921,503,532,738,361,230,377,827,618,008,329,772,138,609,995,025,
780,867,056,857,200,587,565,339,647,008,239,756,386,513,512,472,461,278,027,
777,301,479,337,248,911,290,151,524,906,291,254,405,868,292,819,544,439,682,
950,295,229,749,385,418,896,316,407,608,652,709,381,080,667,408,963,253,362,
518,379,143,024,862,686,013,258,696,617,340,205,182,157,596,824,595,811,867,
723,323,765,264,044,495,912,122,522,074,080,648,065,313,312,340,131,173,833,
835,849,108,061,447,139,361,040,368,504,819,496,582,981,215,019,666,012,602,
213,312,851,140,191,785,895,263,032,918,437,166,375,311,645,831,793,122,282,
200,360,070,465,476,774,381,414,094,183,775,618,333,960,061,480,771,024,325,
184,100,920,483,464,652,415,071,125,619,437,413,231,734,565,288,262,919,873,
905,759,313,452,388,824,469,440,455,846,878,751,191,234,854,132,526,345,303,
462,874,671,397,006,362,669,360,004,380,648,935,776,880,677,004,755,437,729,
492,695,579,176,357,536,986,291,134,461,956,347,010,665,861,148,509,275,896,
730,535,329,429,337,188,581,637,668,625,930,376,455,664,117,573,756,784,312,
805,899,258,255,608,874,692,899,164,287,498,668,116,010,503,397,950,396,278,
552,122,400,498,795,763,885,792,132,061,518,791,221,363,368,500,126,101,935,
607,590,426,205,267,618,527,288,087,036,041,420,864,397,652,056,217,853,117,
840,311,169,498,916,168,329,112,201,670,061,768,614,504,720,802,278,232,980,
690,041,607,999,256,581,238,373,175,665,292,663,020,057,424,990,603,956,832,
601,757,070,164,540,384,068,614,970,207,166,594,047,811,681,010,655,526,723,
507,260,634,414,973,691,734,965,414,487,670,835,957,707,041,648,724,766,668,
200,584,841,076,149,183,266,769,397,570,872,926,031,011,348,565,383,502,035,
972,014,689,414,967,190,959,889,622,955,244,891,632,007,728,305,608,360,445,
945,714,024,859,080,255,603,718,075,939,511,854,682,735,876,264,849,548,214,
415,732,229,476,126,495,099,817,841,612,904,867,597,082,099,495,093,195,639,
513,867,602,766,805,632,008,214,096,801,084,110,688,350,903,672,119,518,923,
410,016,537,758,230,459,083,343,122,931,347,494,303,602,585,353,302,078,527,
819,302,224,047,521,781,877,765,270,139,559,019,979,433,471,376,970,017,804,
128,233,629,791,526,146,967,071,369,919,820,486,176,961,662,160,967,035,075,
733,645,580,573,823,776,042,284,568,046,711,513,291,236,599,736,734,976,876,
203,216,379,653,194,082,650,813,592,338,170,681,967,673,631,724,008,986,560,
127,525,198,350,711,732,100,024,403,549,108,663,518,776,443,504,868,469,975,
019,408,642,319,812,115,614,363,069,261,991,273,648,744,362,523,056,900,099,
713,207,162,941,258,087,869,580,396,117,948,996,445,046,531,289,495,943,515,
645,364,340,661,173,279,804,137,948,932,823,857,612,894,208,777,284,844,154,
845,362,212,451,749,212,391,533,835,675,691,970,954,687,660,028,902,253,714,
028,508,506,855,201,672,257,039,394,726,549,727,554,798,543,199,479,321,462,
421,687,785,371,599,989,913,361,916,482,369,724,249,089,124,202,478,838,479,
374,143,332,336,194,786,325,665,542,401,343,503,838,532,271,267,898,196,608,
985,394,969,029,688,639,897,187,884,257,926,693,611,837,435,514,430,106,535,
754,849,648,856,330,250,839,970,919,490,852,174,474,754,221,226,685,505,010,
947,105,099,611,978,295,988,643,470,254,610,701,164,523,968,924,289,845,063,
041,375,021,116,120,046,810,708,966,715,327,890,176,214,196,902,944,757,491,
471,748,789,971,119,945,512,629,880,448,451,483,456,520,716,124,627,820,202,
820,599,033,803,552,160,332,038,203,062,765,440,002,224,251,103,630,549,670,
872,082,574,633,190,329,138,505,304,092,752,235,481,979,204,718,171,838,096,
377,754,868,528,818,858,357,887,015,533,154,415,904,666,264,255,967,111,282,
056,077,872,753,346,000,586,037,284,489,915,408,440,306,623,669,069,996,212,
527,502,807,262,696,225,975,060,389,596,430,946,028,906,985,244,270,157,471,
421,269,373,641,585,565,247,189,245,622,669,845,995,767,763,512,161,307,761,
858,406,534,416,249,786,071,601,093,865,498,712,789,670,869,313,246,899,278,
190,561,865,666,688,290,560,611,759,896,112,843,045,336,285,457,765,132,427,
260,180,066,287,059,963,807,688,740,592,572,167,156,261,878,927,907,487,668,
104,351,870,654,853,283,986,114,793,849,389,664,898,172,507,972,667,420,675,
921,121,477,238,853,762,999,682,317,953,087,761,978,315,024,081,433,059,571,
330,050,336,595,437,540,301,228,477,434,424,931,295,711,521,629,576,454,862,
738,235,674,314,141,189,652,068,154,066,544,380,270,165,158,409,427,684,457,
669,923,669,108,869,294,714,316,940,418,229,552,602,728,302,831,798,621,094,
662,334,388,711,466,443,195,166,200,055,806,441,914,183,034,129,621,068,838,
227,665,565,313,794,284,885,606,022,966,146,236,884,630,210,793,023,735,554,
587,135,300,401,144,528,823,446,467,278,416,223,318,010,894,508,856,574,754,
836,903,546,630,476,204,582,858,714,209,678,087,009,249,874,180,653,441,221,
293,355,774,839,995,674,151,185,257,798,338,227,007,838,203,588,744,380,435,
043,440,941,505,725,102,836,332,567,628,114,408,853,245,585,363,526,640,284,
959,987,179,769,370,174,909,691,571,589,065,756,238,119,413,347,022,821,941,
007,638,329,885,995,188,467,527,555,990,861,868,212,895,669,247,249,475,486,
469,800,434,128,572,651,964,607,441,304,251,484,996,340,380,535,365,249,856,
187,008,706,338,984,932,987,386,303,586,458,035,254,054,493,692,421,949,427,
915,125,133,191,442,676,760,459,269,783,656,139,508,888,046,357,344,849,302,
965,666,289,930,893,778,747,591,053,090,338,818,522,200,779,826,209,542,087,
165,361,952,051,203,118,611,622,257,705,702,192,957,267,587,409,403,117,349,
369,104,682,686,434,498,059,029,410,310,510,384,816,043,881,046,236,970,652,
960,532,513,924,189,798,309,281,119,845,146,247,843,979,589,450,874,212,429,
983,222,612,932,406,649,989,064,364,565,317,010,196,008,487,192,036,419,722,
816,337,345,860,057,002,065,089,269,122,641,992,337,276,194,043,708,786,867,
552,208,335,603,976,084,305,611,335,087,690,738,210,742,259,748,987,419,736,
272,801,709,168,110,362,454,556,724,924,802,610,748,701,084,010,394,104,295,
124,215,839,929,866,684,289,013,952,138,975,170,662,292,458,716,626,651,598,
150,478,519,872,141,456,515,785,068,121,316,281,080,626,844,837,134,690,355,
740,409,164,115,156,559,209,610,157,722,558,160,266,004,215,482,452,035,775,
668,155,128,624,508,026,971,063,090,105,079,093,840,869,204,444,774,890,672,
968,998,307,260,862,514,059,796,816,971,728,251,806,473,318,226,005,465,273,
224,164,167,074,177,878,512,149,244,288,639,950,308,916,613,699,907,714,447,
993,368,263,361,445,808,244,951,624,074,939,063,269,211,074,935,185,172,625,
973,896,952,021,173,286,483,892,770,043,246,640,701,119,965,308,775,726,468,
294,490,919,240,081,446,337,893,645,896,233,929,919,856,530,962,116,850,795,
710,203,934,876,737,452,713,593,312,191,792,163,383,622,304,204,565,970,912,
284,939,500,433,047,442,508,620,582,651,455,151,136,502,097,093,285,204,335,
626,161,313,735,210,005,528,020,011,138,784,378,314,730,652,080,290,098,765,
077,528,373,387,683,183,419,185,664,328,455,259,405,844,408,694,192,316,264,
791,725,779,866,941,524,338,119,159,146,678,261,951,586,414,484,685,874,233,
922,720,141,758,745,087,643,674,549,702,151,671,903,195,976,199,855,286,284,
534,163,171,741,410,755,951,559,983,730,317,863,755,252,579,943,365,627,591,
548,182,378,430,571,334,545,491,225,914,469,239,749,340,613,269,293,791,212,
628,910,975,802,611,851,992,895,593,806,440,196,623,550,773,180,302,755,733,
187,083,368,068,046,032,695,214,682,430,026,844,938,809,074,372,007,535,168,
601,418,998,684,357,765,454,175,931,518,391,542,839,629,439,568,531,222,773,
038,469,588,586,419,175,150,952,882,130,465,899,261,109,778,796,298,711,316,
904,513,391,335,071,366,550,826,090,498,008,191,200,531,149,771,360,371,826,
598,800,192,706,233,370,191,455,981,383,105,605,230,599,087,304,624,603,355,
549,424,988,354,245,572,133,453,892,513,833,434,293,440,543,482,201,183,366,
240,200,452,095,483,603,662,657,498,510,249,223,877,658,233,632,076,695,951,
079,657,586,137,300,559,495,345,129,988,041,828,684,305,440,578,914,370,660,
782,552,176,505,632,411,415,023,973,908,136,951,153,597,651,810,916,139,995,
727,845,796,535,835,283,081,465,232,457,654,878,436,893,212,484,464,849,174,
588,239,772,294,891,635,675,712,511,164,259,825,564,848,552,899,488,335,798,
282,008,730,827,484,624,484,293,327,431,526,363,506,307,613,789,329,706,590,
233,096,968,104,353,145,689,211,701,511,737,446,917,308,568,253,231,691,391,
082,559,753,845,386,366,710,561,213,836,104,607,089,486,441,138,012,610,209,
955,726,986,812,833,848,654,888,053,032,932,650,497,690,579,339,030,641,849,
404,637,495,788,042,650,945,133,091,770,398,577,900,568,857,513,051,668,368,
940,667,364,338,805,046,374,434,793,593,842,736,243,882,335,885,024,252,981,
900,067,689,458,446,583,797,211,864,831,027,865,463,880,311,040,720,359,596,
199,796,851,564,499,689,016,489,346,946,969,222,927,750,728,090,329,339,378,
163,584,751,582,406,286,277,300,886,266,200,395,734,520,973,316,003,042,847,
660,464,219,487,586,595,588,651,724,406,324,660,730,760,021,143,559,123,872,
439,302,718,458,460,017,728,109,390,578,897,880,523,558,346,562,742,574,285,
410,454,161,687,125,877,880,468,484,230,335,843,052,687,718,731,827,386,183,
638,475,555,360,908,963,714,953,664,893,284,980,037,644,966,220,266,596,884,
862,254,533,738,891,777,617,190,434,136,619,027,506,931,001,678,082,954,200,
084,676,972,539,119,185,299,058,910,442,732,747,285,881,243,406,413,349,849,
087,554,420,182,770,318,259,677,404,789,658,876,416,980,420,197,082,947,729,
886,577,866,590,532,696,442,923,298,556,661,767,773,141,786,211,672,203,458,
307,640,503,587,421,015,259,084,415,258,735,401,778,076,275,894,919,501,884,
801,078,310,512,204,139,703,050,456,952,171,500,142,386,319,833,390,743,259,
120,691,623,803,728,877,005,206,820,579,805,963,220,448,461,312,546,020,474,
343,007,298,217,880,770,312,483,339,030,129,079,091,993,632,563,459,284,740,
185,140,388,987,138,730,999,424,547,858,002,924,912,264,895,626,632,617,197,
448,232,486,693,380,608,602,348,820,829,799,895,905,824,339,668,501,169,147,
123,980,993,452,667,389,782,100,158,833,559,999,027,764,348,801,419,500,629,
809,493,814,983,552,818,832,273,347,438,560,333,691,531,733,281,042,925,931,
966,928,959,934,650,128,497,532,780,829,560,721,757,174,393,759,740,942,704,
371,821,118,939,752,008,119,794,685,276,166,287,584,549,674,506,346,765,386,
788,628,304,345,488,816,570,054,484,672,860,313,361,995,582,859,453,990,459,
954,355,321,088,598,181,469,412,321,376,149,683,154,943,686,599,682,036,788,
096,960,364,132,743,713,641,411,335,841,924,956,038,593,684,165,601,211,871,
668,643,535,269,125,358,440,268,539,211,854,617,277,686,424,814,179,734,897,
003,108,880,074,519,911,853,812,511,945,186,608,239,170,271,199,766,776,066,
259,901,745,555,089,829,468,369,221,572,066,179,552,809,129,256,444,668,541,
509,938,096,116,325,363,818,648,178,899,041,612,939,587,693,840,180,252,312,
637,842,719,530,952,249,079,695,783,394,980,616,634,551,505,929,088,147,796,
084,556,860,659,100,761,257,617,688,755,798,230,466,626,848,348,112,593,693,
803,211,290,128,624,633,643,738,472,742,385,935,218,956,396,389,243,320,815,
432,740,753,109,353,463,141,997,709,651,279,075,304,790,036,100,049,767,491,
253,840,615,894,417,057,255,236,835,199,183,731,406,544,174,244,059,226,342,
777,364,127,892,240,994,129,042,173,531,034,510,711,989,798,737,059,084,622,
149,174,588,063,281,096,306,520,267,104,714,557,995,551,182,583,701,737,750,
598,612,171,361,309,185,759,898,136,512,595,798,530,961,130,777,769,500,548,
493,694,967,892,287,382,459,499,700,951,923,228,678,443,787,747,585,903,718,
947,401,151,937,508,138,256,995,947,258,715,333,529,847,422,782,302,036,917,
115,000,105,396,921,639,658,386,704,491,652,311,976,709,400,260,704,186,488,
097,521,851,065,974,388,873,283,013,199,833,577,236,225,208,891,091,016,384,
941,454,274,913,024,387,177,859,761,120,928,669,917,439,659,709,069,989,561,
900,202,138,387,462,379,969,289,728,070,306,727,192,674,342,331,184,713,343,
265,574,748,720,704,771,228,554,697,745,667,860,053,457,105,797,278,885,593,
011,025,327,053,001,397,599,013,146,790,430,492,201,265,733,883,902,997,291,
283,144,912,353,922,723,387,719,178,992,907,733,402,431,070,022,054,725,880,
237,555,718,021,533,051,738,904,002,673,107,490,036,786,676,196,231,017,962,
004,750,551,769,817,676,102,560,205,253,427,426,091,015,556,729,345,582,076,
073,342,260,011,193,992,843,661,389,501,627,019,401,816,960,835,897,333,140,
547,515,750,261,396,366,548,349,839,652,871,635,340,693,209,408,362,192,010,
358,624,268,939,801,046,396,097,328,609,588,415,235,872,174,108,842,589,046,
511,669,042,924,619,566,859,840,615,922,684,269,247,038,155,849,551,305,889,
093,798,075,861,220,383,455,805,712,540,684,275,886,708,321,568,710,962,043,
924,348,476,798,458,786,370,105,757,519,091,638,778,919,378,067,901,963,819,
426,048,767,589,677,612,567,780,555,269,196,111,606,012,618,962,030,911,494,
128,378,217,447,491,756,017,209,564,815,632,260,165,049,939,124,893,318,402,
310,902,714,092,127,438,454,872,617,083,686,359,028,606,487,507,323,726,076,
079,080,163,266,848,693,392,663,322,527,647,110,665,875,296,355,914,730,419,
616,987,586,088,488,993,009,051,635,914,021,417,483,203,922,159,484,605,758,
278,204,346,499,505,325,257,112,183,809,226,154,334,357,660,137,231,928,397,
310,095,869,347,308,389,072,079,727,516,390,020,803,644,374,775,835,562,324,
642,030,763,315,952,008,992,526,980,507,499,967,228,279,846,671,514,292,830,
835,946,653,521,550,257,286,013,861,844,462,724,682,346,696,791,640,104,180,
749,676,653,212,448,279,760,142,429,592,923,625,782,287,758,297,186,701,647,
690,656,497,600,978,534,850,363,227,585,329,573,452,878,756,061,934,140,007,
434,655,982,507,166,427,945,691,957,830,094,580,640,135,912,615,067,737,919,
641,718,467,689,805,041,714,102,400,730,213,186,844,346,738,807,542,367,699,
187,923,651,524,280,382,278,155,774,804,498,906,966,547,391,060,077,044,122,
216,741,864,782,355,283,711,063,647,044,258,289,170,986,457,945,651,172,052,
120,767,586,599,609,165,687,999,803,973,436,774,918,210,295,080,071,373,121,
459,698,526,126,260,822,951,582,752,057,200,186,948,153,503,792,567,188,171,
211,923,670,661,870,707,410,743,204,049,155,842,014,734,702,725,121,503,405,
870,254,763,454,784,681,820,018,219,394,238,292,132,574,683,612,254,833,264,
080,595,736,975,728,075,895,282,192,998,867,483,342,453,098,089,749,435,772,
583,434,801,992,465,968,822,981,292,474,032,169,982,977,788,112,110,568,939,
423,488,006,734,367,319,897,906,822,936,668,793,127,601,443,897,691,589,410,
424,435,042,688,032,178,394,978,011,087,520,597,625,514,821,729,143,849,388,
046,086,874,874,884,516,533,875,530,682,601,691,428,635,256,188,678,765,421,
071,017,397,919,236,106,326,920,926,526,248,976,936,949,948,541,724,269,913,
046,207,732,515,694,254,342,636,519,926,677,468,180,628,429,184,678,092,151,
968,585,014,434,121,930,363,293,832,295,330,221,191,348,042,867,663,540,091,
851,500,348,559,773,515,351,573,390,992,744,997,476,090,772,937,941,057,331,
176,670,176,478,381,186,997,154,960,201,049,547,522,883,930,124,000,460,414,
291,573,554,504,936,601,842,142,818,187,117,391,729,536,152,184,996,372,675,
086,127,436,377,039,517,178,476,524,722,476,654,193,385,321,150,975,178,680,
818,971,273,953,813,683,047,066,521,544,683,791,456,661,216,788,362,115,825,
551,171,436,939,351,835,113,135,564,480,805,059,574,172,438,416,436,550,981,
791,557,349,904,584,480,830,133,218,121,310,599,941,524,178,319,969,458,920,
037,489,538,478,902,221,348,545,059,707,297,005,482,624,584,567,256,935,266,
369,282,494,231,814,859,762,665,729,345,111,928,371,936,678,542,061,714,500,
939,328,210,530,935,091,865,111,973,237,968,244,180,870,088,700,660,467,287,
800,270,438,359,658,649,497,475,664,973,879,242,175,582,853,153,032,143,227,
279,033,114,058,227,287,969,927,736,330,801,036,899,084,951,825,403,945,975,
917,590,583,369,225,665,670,652,823,495,818,836,832,510,064,222,254,352,088,
604,960,139,468,447,648,119,085,274,033,941,481,531,632,694,817,976,740,077,
427,045,285,297,418,068,524,758,045,875,534,574,296,289,018,315,503,234,715,
013,194,914,578,412,565,584,422,285,400,900,878,663,070,813,357,961,115,444,
031,933,094,812,565,575,818,043,634,553,793,042,701,144,724,661,235,403,491,
717,664,201,437,772,609,288,038,252,772,101,858,972,655,923,239,703,843,120,
258,529,671,283,151,877,299,151,075,922,317,451,405,788,696,212,765,960,937,
105,318,644,282,596,868,838,511,999,170,530,298,375,940,048,408,786,161,391,
184,522,590,171,938,377,202,918,883,953,167,127,786,611,177,433,974,397,710,
544,305,477,548,871,668,582,921,005,728,569,543,242,044,521,703,803,240,524,
053,735,579,084,711,857,514,874,476,616,631,889,172,156,417,768,678,924,303,
179,533,951,587,630,038,846,500,197,835,912,200,361,202,593,089,050,085,602,
505,514,670,370,994,203,065,825,906,806,448,877,242,998,658,989,085,329,251,
021,025,850,425,449,164,485,519,928,544,037,086,804,419,653,058,757,197,959,
365,862,890,920,849,454,804,809,518,074,770,493,380,218,246,721,009,896,293,
153,520,698,378,856,156,107,049,296,036,905,629,504,846,917,966,162,422,441,
603,803,850,711,966,257,967,573,255,104,309,720,876,758,294,431,171,246,887,
807,941,895,789,952,557,333,946,092,668,692,483,079,589,076,352,289,382,916,
492,599,772,526,837,793,401,797,751,525,291,710,858,376,992,773,066,361,509,
975,431,393,616,438,934,482,314,791,065,244,750,288,166,953,550,820,639,609,
400,657,092,701,461,290,480,623,282,980,210,743,329,583,886,621,307,429,350,
344,612,666,652,438,347,788,178,066,274,162,926,839,000,087,265,905,727,428,
690,649,327,250,450,419,500,861,200,960,064,861,915,578,814,575,276,035,563,
563,303,745,244,556,046,412,475,704,933,130,711,257,379,728,668,832,565,104,
454,481,911,612,334,438,063,985,522,679,550,441,363,877,768,645,556,732,588,
903,219,138,612,736,908,065,726,928,166,726,998,907,243,777,713,534,063,613,
410,724,492,395,010,729,418,078,336,253,123,468,657,489,748,300,263,933,634,
883,271,113,502,373,100,494,366,720,250,233,424,276,380,987,917,794,828,329,
447,830,983,036,647,612,055,960,121,279,248,243,945,066,854,782,812,171,323,
407,857,929,716,281,550,578,971,541,070,605,479,806,443,800,546,475,424,898,
163,718,620,636,961,007,236,693,617,132,454,096,441,152,919,674,124,984,848,
120,243,049,468,786,749,593,151,504,169,504,861,459,580,591,788,520,863,739,
573,048,874,927,740,209,376,394,539,389,465,866,973,671,911,458,391,755,038,
079,819,348,047,244,217,970,747,642,103,267,584,523,819,773,232,585,271,750,
638,127,634,942,164,268,597,742,695,487,687,250,721,975,579,971,617,523,900,
366,891,138,572,435,504,112,253,923,428,405,585,332,683,066,256,647,152,472,
489,740,061,391,431,912,950,285,318,835,388,388,790,855,977,582,187,081,534,
576,160,742,224,721,926,736,086,236,251,974,763,839,983,798,815,310,740,478,
971,344,929,260,491,508,190,420,022,777,220,433,942,285,748,480,468,301,491,
617,806,063,305,064,876,315,632,561,384,464,188,058,607,150,873,674,365,827,
947,777,779,292,050,933,474,393,558,927,602,189,531,249,417,437,834,904,066,
482,676,490,261,790,295,678,037,656,015,164,821,699,681,112,350,205,837,718,
486,551,004,055,802,526,778,423,631,250,305,469,860,034,699,669,182,770,418,
116,979,172,205,143,274,315,225,522,018,201,283,907,348,831,588,873,144,752,
889,787,233,159,089,072,741,608,103,321,479,197,289,344,129,576,286,094,851,
418,317,663,082,119,542,912,917,058,913,830,147,726,903,199,957,398,917,240,
694,673,024,095,111,372,995,419,975,216,658,554,293,086,474,179,561,144,426,
330,967,844,285,772,321,125,344,348,257,984,511,742,355,068,806,724,187,065,
632,553,307,223,240,082,229,548,105,371,386,773,085,038,924,715,792,672,331,
766,971,129,109,624,633,437,563,030,144,257,652,797,187,334,546,266,499,981,
537,403,494,370,815,815,899,620,759,868,954,863,440,744,373,734,578,527,444,
094,035,844,213,450,174,368,634,187,014,725,845,115,074,474,729,737,043,386,
514,969,275,023,117,676,693,816,660,087,591,491,940,947,352,308,856,874,089,
983,234,490,774,378,527,672,773,059,229,278,427,649,158,221,031,038,965,102,
101,522,648,333,599,036,916,537,107,809,354,909,424,787,299,961,472,692,288,
936,026,617,425,385,112,265,617,995,573,370,671,668,955,796,648,367,670,859,
386,567,969,480,034,218,559,052,006,877,373,424,378,350,151,458,038,147,302,
611,953,172,630,111,097,000,510,381,965,732,449,749,145,435,613,330,794,382,
649,158,624,317,976,167,787,033,565,690,783,451,876,011,574,592,812,979,371,
783,674,589,915,373,770,940,947,401,370,736,589,706,197,179,054,299,141,378,
982,345,326,800,206,291,063,980,980,727,094,243,853,657,722,226,496,709,043,
005,081,808,436,094,685,705,592,172,833,843,664,641,473,472,282,770,200,897,
869,502,194,279,412,271,047,628,786,143,425,658,642,482,299,598,629,827,666,
473,083,531,190,594,057,210,722,735,856,285,663,340,277,132,847,738,421,949,
844,585,712,902,072,559,801,908,305,114,355,252,607,180,065,895,186,701,652,
359,574,447,150,317,877,304,785,723,571,950,888,048,605,695,124,606,643,350,
120,217,296,078,856,044,119,766,087,445,186,459,655,298,542,289,553,515,972,
772,863,590,025,368,622,124,320,234,720,344,802,857,387,858,121,766,990,068,
391,784,842,902,666,585,490,578,021,143,235,090,874,855,342,084,920,916,351,
128,333,719,950,160,795,247,635,860,305,711,321,648,691,669,517,488,864,091,
591,829,005,590,669,354,062,382,022,759,383,029,649,905,189,230,305,763,090,
606,299,988,609,082,281,204,302,716,549,709,225,635,831,161,645,562,401,705,
744,563,394,113,881,464,508,953,289,711,639,599,952,467,740,511,338,792,626,
573,421,253,798,441,212,008,621,033,580,825,083,856,145,198,547,887,171,170,
682,404,212,285,145,246,674,544,704,401,528,143,711,348,031,316,429,131,887,
837,864,266,162,493,700,861,159,216,910,070,226,805,688,151,376,067,452,562,
109,858,002,683,711,699,603,989,893,036,337,414,711,090,477,344,459,204,893,
862,607,020,457,506,500,654,722,355,004,459,818,180,415,519,116,736,496,223,
791,993,709,878,091,165,057,825,041,291,446,024,170,975,223,393,654,236,938,
563,824,237,179,240,509,937,506,461,700,709,755,291,782,634,414,237,900,047,
458,386,689,829,493,842,357,378,468,040,874,933,906,954,621,951,010,295,579,
933,175,384,653,594,025,021,141,789,935,121,223,511,319,079,400,579,282,134,
259,465,000,865,741,302,176,065,041,896,117,184,694,657,940,053,272,012,468,
228,171,931,243,441,658,474,035,188,450,923,143,564,534,873,962,046,391,321,
771,803,704,515,685,394,408,433,894,566,151,422,399,241,935,613,701,941,632,
240,928,508,170,350,843,021,392,815,332,924,606,733,349,299,520,226,035,422,
904,210,457,446,361,761,295,485,426,328,918,842,960,325,045,901,394,681,826,
107,077,926,733,446,633,521,236,309,694,358,925,719,488,574,223,482,552,177,
524,564,001,310,693,363,702,075,911,929,568,816,222,244,563,012,677,704,614,
264,006,669,676,713,036,100,417,536,724,975,926,194,625,875,237,801,195,547,
968,702,035,186,213,116,225,389,085,183,929,933,282,177,674,969,090,815,382,
390,671,299,966,437,018,975,461,438,828,764,340,475,024,894,653,479,188,805,
885,791,440,490,264,496,832,391,733,105,013,749,504,017,784,903,724,640,437,
883,826,935,199,126,589,731,654,519,057,824,006,003,827,592,093,451,006,119,
319,916,253,134,729,144,705,990,935,932,462,255,493,775,474,154,136,307,824,
579,235,184,698,873,981,632,948,096,712,169,283,222,562,179,345,701,738,595,
203,023,089,981,145,163,797,797,279,554,129,258,044,025,273,287,493,334,589,
976,124,777,896,836,319,754,095,871,302,038,874,469,975,854,015,597,094,110,
341,432,541,414,612,806,142,224,384,730,653,320,956,738,862,441,661,087,080,
552,009,165,222,070,365,542,571,056,171,720,776,066,080,858,728,405,650,026,
311,437,325,178,541,460,782,040,310,276,938,771,631,385,696,368,749,272,276,
277,002,805,027,738,698,788,776,480,404,480,527,155,469,114,183,903,414,613,
494,917,380,198,531,469,653,016,227,592,441,458,212,533,950,219,335,014,264,
998,140,505,964,156,221,441,435,747,871,333,103,272,974,205,982,923,790,060,
647,941,290,545,259,449,513,830,061,439,182,168,496,063,776,623,206,209,952,
374,998,806,141,400,907,537,409,484,714,138,382,545,455,129,835,951,943,564,
884,343,110,437,706,149,646,055,737,196,318,440,438,694,243,929,916,513,648,
172,000,566,357,081,667,705,217,763,158,578,427,065,735,253,242,653,352,847,
249,849,836,194,206,028,870,315,704,439,031,509,880,488,724,689,673,956,204,
133,008,131,748,403,120,831,765,983,751,425,121,849,225,894,678,797,864,268,
070,201,322,509,923,804,675,331,949,034,597,132,259,446,525,093,733,010,962,
505,005,574,984,830,896,022,652,045,782,440,913,992,358,249,972,578,558,256,
561,749,219,375,721,242,374,267,115,760,193,846,222,745,108,146,691,138,366,
199,604,377,149,298,085,578,060,022,555,621,341,768,828,486,201,477,640,663,
814,673,418,524,190,195,844,128,942,919,836,494,858,874,426,375,162,194,539,
631,519,427,504,587,949,444,345,797,808,267,058,206,704,429,073,839,903,752,
629,561,369,392,676,096,852,639,483,290,543,177,662,318,935,727,014,319,113,
018,611,114,439,467,677,629,577,794,007,656,070,845,321,175,020,061,697,675,
350,814,403,016,241,458,003,121,555,760,784,805,698,456,367,681,333,123,518,
473,844,479,376,744,620,252,713,662,349,540,534,000,955,119,547,387,393,235,
029,086,512,974,177,419,627,357,120,652,185,370,090,219,595,053,035,765,859,
202,979,116,031,760,319,720,773,222,949,148,459,640,252,587,296,061,920,457,
308,743,554,252,049,484,716,345,444,475,315,988,490,334,025,876,876,492,776,
553,929,147,648,485,697,648,932,141,796,258,296,348,861,929,822,816,102,990,
782,580,828,385,652,260,457,019,819,994,538,841,517,998,968,418,323,984,753,
972,406,344,955,675,588,801,520,467,888,701,689,904,280,664,746,152,423,800,
625,937,402,394,850,559,199,623,960,091,154,103,871,204,247,182,808,257,255,
968,708,552,848,076,621,639,468,630,666,190,189,622,602,165,197,497,903,286,
592,341,848,497,557,618,389,645,126,515,868,446,691,774,138,504,541,577,282,
542,658,407,637,338,850,035,744,377,519,349,342,442,874,527,645,791,979,391,
512,713,081,161,416,081,287,481,523,413,702,817,255,872,907,819,784,339,471,
119,537,575,907,940,081,157,890,988,727,343,499,493,645,805,716,510,532,017,
079,434,329,636,578,498,688,345,860,421,603,711,133,688,157,749,685,533,814,
149,361,105,112,348,839,250,024,985,036,696,792,538,418,109,583,689,971,136,
272,275,383,809,725,347,467,606,679,977,346,740,580,005,830,387,819,252,334,
326,375,045,105,413,364,626,482,156,287,037,539,643,755,677,402,029,028,539,
548,788,953,649,848,367,156,031,399,997,433,389,087,119,708,153,480,237,505,
197,037,699,341,996,746,519,902,908,916,319,788,808,358,432,529,581,055,827,
955,792,976,843,427,660,719,988,478,131,319,678,172,286,578,522,363,191,598,
198,734,598,604,327,654,367,198,785,186,550,063,809,275,291,862,740,953,273,
591,208,766,185,333,707,350,455,516,497,787,827,347,984,102,765,720,634,794,
486,030,711,377,783,628,636,662,597,256,520,561,823,122,332,836,761,443,108,
323,600,891,893,710,603,688,275,958,446,002,670,504,873,263,823,318,485,990,
759,646,080,423,850,097,749,646,993,622,492,012,628,665,668,638,786,710,819,
336,296,316,100,086,525,040,312,073,588,114,976,453,412,934,493,681,107,931,
429,497,430,614,059,122,001,727,843,164,080,595,611,283,048,163,256,178,957,
077,254,479,142,538,133,539,070,752,978,211,325,757,605,072,667,284,103,123,
849,266,934,072,380,397,570,948,273,865,572,827,543,147,851,744,783,155,948,
781,607,088,787,963,473,881,773,040,178,318,291,997,522,903,521,658,012,411,
244,438,913,554,241,982,347,676,190,164,853,773,695,078,978,128,482,773,097,
441,898,402,095,922,273,488,808,293,682,344,745,171,831,707,513,030,423,947,
304,165,361,226,856,930,497,885,948,473,403,887,380,790,002,746,216,412,653,
304,928,769,920,622,893,685,948,765,079,697,342,416,250,453,840,592,712,842,
422,323,528,510,700,067,144,790,327,442,969,570,072,264,452,522,527,476,397,
748,546,512,468,863,998,824,222,091,041,487,764,083,510,797,987,108,407,704,
370,353,933,847,780,151,167,388,130,331,872,211,013,567,599,664,213,103,661,
431,838,166,709,609,651,346,561,957,145,626,363,779,828,438,961,955,754,463,
107,612,975,522,200,828,394,010,999,596,068,851,925,025,871,919,791,831,660,
997,352,175,329,041,482,246,315,249,754,868,976,393,394,775,354,730,135,656,
851,653,136,014,574,216,692,987,260,532,813,503,248,847,296,125,457,589,932,
316,909,352,091,962,046,380,205,578,259,594,620,501,460,753,986,726,453,136,
645,367,723,032,327,235,920,693,170,482,053,117,865,545,831,773,492,072,309,
962,442,671,063,199,268,544,101,654,345,944,984,696,196,492,969,560,744,419,
793,824,444,840,707,800,523,497,417,226,896,401,975,041,825,934,330,323,671,
369,384,398,765,592,339,549,798,875,545,586,409,681,794,695,888,752,696,207,
631,464,472,259,229,182,054,641,559,775,669,909,167,987,494,390,598,812,639,
920,294,988,488,971,614,655,412,425,814,666,965,933,011,950,956,536,754,444,
341,961,281,231,404,341,718,200,687,279,127,564,852,182,968,443,738,957,585,
355,470,456,525,929,227,863,898,548,189,074,796,748,304,381,195,430,596,259,
036,032,376,204,725,166,501,919,189,313,733,078,303,784,386,478,822,624,406,
406,681,213,247,570,821,667,128,835,397,940,824,762,604,525,350,697,682,202,
337,361,836,796,669,725,750,842,659,860,123,445,783,022,608,159,423,612,231,
250,813,514,302,799,769,556,898,636,834,454,110,081,513,886,784,150,894,033,
407,350,482,133,973,327,836,970,215,986,464,235,936,658,065,097,129,939,557,
188,340,784,936,225,515,197,775,846,990,058,804,247,362,366,163,004,580,156,
115,705,400,838,873,931,334,848,171,263,795,874,608,120,051,224,333,237,100,
955,399,946,594,331,353,172,088,053,250,592,811,661,864,866,360,386,783,020,
811,938,870,782,877,512,212,034,963,014,402,258,720,312,332,222,244,772,508,
615,035,603,623,397,893,514,894,403,733,804,446,075,937,627,719,524,407,420,
500,690,953,035,491,602,364,727,560,342,292,639,349,516,005,820,542,533,204,
119,994,918,626,841,433,398,780,974,551,931,662,427,764,087,463,825,522,083,
744,048,830,644,768,473,779,692,547,068,141,177,745,216,539,785,923,758,019,
703,632,262,658,114,372,790,590,810,731,423,385,202,285,250,808,269,147,858,
429,784,967,107,947,068,876,717,936,592,357,999,765,373,056,872,888,582,763,
232,507,835,724,493,183,091,889,774,083,255,247,309,717,755,253,173,262,294,
961,155,151,890,100,223,324,015,132,958,652,482,688,937,353,813,365,689,348,
742,556,402,222,760,501,670,734,332,146,150,486,582,492,701,473,843,654,482,
860,630,441,237,375,292,576,901,024,162,531,711,388,107,177,429,071,808,642,
569,376,892,124,772,741,877,584,989,113,631,459,255,707,223,033,476,160,112,
904,492,097,697,321,321,044,985,505,984,603,626,929,357,700,029,198,687,169,
427,291,240,762,152,326,671,012,296,359,926,190,415,201,506,313,212,774,588,
902,150,476,892,690,812,053,748,724,492,428,273,819,667,620,647,586,712,448,
963,792,766,662,737,901,326,950,986,678,006,368,048,250,377,378,591,139,305,
829,510,249,285,789,795,671,437,869,544,545,215,834,947,502,915,868,813,175,
435,471,454,933,265,736,733,932,698,307,381,962,518,519,458,052,442,371,104,
710,077,207,407,892,578,266,843,182,594,949,943,446,497,111,034,695,270,720,
785,064,870,616,357,692,648,389,802,384,748,040,790,133,024,300,840,276,890,
283,664,578,474,011,450,535,905,875,172,065,895,883,195,363,610,233,668,659,
583,127,659,776,218,278,779,545,585,224,966,852,080,143,147,452,394,984,277,
282,735,607,266,092,856,882,001,224,338,920,928,087,991,971,397,093,041,061,
887,563,601,419,414,308,724,588,623,648,001,859,112,170,657,063,670,407,150,
973,583,014,254,880,452,027,608,085,223,115,634,094,131,694,417,789,697,346,
164,895,120,892,428,291,728,874,978,295,091,266,841,748,526,220,997,124,834,
511,846,164,009,272,914,853,742,338,664,845,587,534,162,459,278,132,267,621,
607,123,836,550,571,558,931,233,014,873,996,449,229,604,814,358,732,800,016,
153,579,518,910,405,681,143,557,098,401,022,056,894,474,658,743,793,446,705,
877,343,681,712,013,609,244,481,263,837,008,171,261,598,665,188,508,445,280,
285,582,288,400,465,021,643,220,209,817,394,582,012,306,451,323,201,760,753,
892,636,483,159,483,342,420,146,740,055,965,106,135,126,581,008,412,432,126,
033,702,900,532,088,597,501,479,836,918,470,992,306,154,393,869,976,773,973,
185,862,697,398,147,881,386,027,083,109,810,704,765,303,118,625,155,216,745,
244,053,985,795,858,698,302,946,753,842,594,664,348,096,848,372,348,303,864,
747,161,486,694,983,955,840,916,325,243,451,355,616,728,051,928,594,191,685,
694,272,916,935,437,150,910,775,328,258,556,586,973,029,804,621,505,689,531,
782,959,566,040,588,123,992,154,813,801,504,145,966,834,429,983,834,563,861,
640,395,101,466,588,235,422,981,200,686,943,966,309,343,362,711,735,398,671,
029,196,790,012,455,294,210,024,684,036,167,847,569,134,714,369,701,779,097,
449,037,349,568,252,930,466,990,470,506,754,661,656,852,137,950,743,052,004,
887,701,654,428,037,042,855,021,320,431,414,448,971,946,427,689,423,354,421,
492,842,874,325,240,371,363,561,065,967,826,666,918,199,445,557,846,798,528,
013,985,105,065,123,520,584,728,627,895,986,285,945,062,194,206,910,887,221,
026,780,423,245,729,052,668,476,752,149,437,919,132,018,170,156,625,904,294,
667,104,106,869,382,809,341,809,778,773,156,208,816,685,093,649,373,748,173,
769,168,506,191,666,933,048,886,911,599,908,213,212,597,037,568,628,128,007,
462,350,023,362,729,871,225,582,664,391,679,918,478,525,206,243,114,748,381,
148,818,711,158,582,606,982,480,775,443,891,713,823,840,003,596,649,415,195,
102,008,640,351,734,956,702,831,942,585,957,004,292,004,987,338,988,475,851,
394,055,595,708,333,294,753,097,220,941,394,426,388,799,118,424,526,176,572,
666,058,312,474,432,216,120,188,804,075,483,131,411,914,673,252,109,452,470,
291,901,259,873,396,962,036,633,840,905,700,664,184,664,096,880,129,816,792,
956,123,580,411,280,015,277,623,479,561,648,920,257,061,372,243,198,264,819,
811,831,084,619,526,940,998,153,058,711,753,235,824,953,435,019,245,192,929,
384,549,851,796,626,262,881,085,935,935,964,053,476,744,685,275,367,098,573,
796,039,336,830,157,610,170,856,931,780,228,731,545,081,277,887,757,834,684,
299,592,617,681,186,166,762,699,982,357,673,855,769,737,574,770,852,500,114,
824,920,573,815,794,940,284,948,908,719,914,763,511,851,283,632,159,779,345,
704,668,317,224,479,686,325,363,108,916,191,598,912,698,191,948,721,771,265,
460,811,331,892,041,952,929,905,958,730,062,827,466,880,363,251,516,668,833,
648,322,711,735,995,899,064,429,266,243,448,355,918,842,661,746,372,705,195,
526,470,639,600,052,377,157,903,329,714,120,067,270,334,672,615,748,527,441,
199,511,561,161,482,724,621,117,504,000,278,415,727,669,544,804,024,932,015,
358,401,424,590,394,779,347,920,764,364,552,236,186,829,194,643,877,208,849,
382,442,565,944,794,471,577,735,079,517,246,259,046,126,284,794,728,162,925,
920,169,684,448,527,109,185,115,379,021,028,338,443,509,158,440,820,953,969,
168,252,875,690,159,959,443,823,761,225,688,140,296,648,939,767,982,982,908,
361,366,617,783,734,574,005,931,080,473,426,881,552,484,374,560,118,982,752,
146,994,787,611,366,140,234,902,637,395,481,277,403,893,155,927,110,366,842,
064,521,702,424,158,700,236,257,114,476,148,418,454,677,304,604,516,243,217,
360,014,446,183,642,707,014,619,672,000,964,439,787,857,085,283,772,105,947,
078,766,536,484,826,735,077,767,022,356,221,912,270,164,459,610,760,291,301,
133,411,625,210,436,779,279,418,738,842,743,649,290,929,751,635,811,411,594,
665,695,300,672,097,018,359,611,652,934,359,663,173,035,437,534,353,006,266,
108,442,319,224,073,045,658,823,574,538,534,104,116,317,661,569,750,987,896,
479,298,092,377,656,391,264,641,062,605,634,636,599,177,261,213,005,406,144,
131,514,332,837,842,706,872,001,591,820,222,530,072,574,553,337,733,796,076,
794,956,272,879,759,697,094,869,756,721,627,948,111,373,723,881,897,756,866,
406,426,664,996,986,506,118,276,810,115,888,493,162,578,348,532,969,758,150,
210,884,951,440,810,059,488,020,377,025,497,583,133,132,416,587,415,188,280,
044,729,341,578,984,941,275,594,889,932,658,390,148,585,489,531,072,823,900,
904,067,656,467,670,526,200,547,087,344,883,440,596,702,863,696,354,745,966,
421,848,151,009,753,473,449,549,934,944,992,274,833,064,240,876,646,901,121,
678,025,061,743,493,301,811,975,196,346,478,254,486,689,164,627,914,714,531,
957,262,275,778,647,399,579,604,442,888,385,220,720,263,221,911,266,066,879,
374,923,027,916,389,931,697,057,176,718,518,874,716,995,214,970,368,161,847,
013,577,415,106,488,179,080,223,942,957,046,926,262,512,868,340,234,197,504,
225,923,802,330,445,628,644,837,079,628,154,816,521,709,016,787,438,258,704,
709,062,169,072,887,440,385,426,226,424,046,896,204,379,649,401,177,740,361,
386,183,989,094,421,555,775,126,321,360,576,214,789,906,783,783,141,985,595,
669,850,569,323,049,366,023,393,632,849,746,285,608,062,481,695,546,615,067,
066,231,377,470,163,715,143,380,293,909,511,321,212,893,376,690,376,458,901,
250,325,638,387,087,489,085,658,623,955,198,122,540,512,773,339,892,237,997,
060,653,757,916,395,200,619,948,676,390,440,869,868,146,580,772,265,924,499,
393,920,198,032,845,089,169,631,878,361,908,385,323,014,163,690,067,746,761,
355,902,222,449,320,071,877,900,018,715,777,019,731,263,876,398,143,962,879,
792,634,402,393,772,054,546,178,779,961,428,016,499,990,973,976,291,546,816,
299,401,203,851,060,605,848,184,167,286,627,021,815,307,897,547,970,295,438,
499,435,179,760,215,002,793,091,608,604,122,010,572,702,015,549,048,841,059,
044,779,473,662,939,838,868,976,118,044,109,212,724,846,004,651,718,066,033,
711,861,397,305,812,644,979,097,947,350,913,052,154,144,720,186,136,502,057,
042,936,685,710,886,374,801,654,635,207,855,179,904,106,690,532,221,493,645,
518,418,160,476,023,057,147,307,655,168,297,029,450,622,038,603,248,458,498,
075,485,147,804,558,283,391,834,619,830,272,603,410,881,015,272,402,274,734,
474,283,083,211,284,734,534,595,275,534,101,215,258,073,380,604,158,363,738,
721,392,549,322,717,455,607,540,946,511,795,216,451,659,798,807,685,237,840,
722,148,860,288,085,366,681,071,379,980,951,535,552,270,867,373,976,959,679,
538,985,420,465,363,943,565,903,076,648,388,160,089,417,769,120,963,349,471,
129,198,865,341,838,756,088,605,796,351,228,939,368,993,711,494,259,284,122,
498,048,755,981,725,944,307,177,691,013,249,053,678,727,661,960,278,963,812,
436,533,912,296,949,561,296,042,652,630,962,360,211,391,567,217,764,515,911,
485,293,347,203,195,376,170,398,000,950,920,990,735,772,881,918,670,250,140,
176,623,474,943,068,265,614,509,318,774,916,598,355,579,614,004,135,486,148,
179,028,222,573,205,998,815,072,812,556,005,689,163,890,515,808,442,943,178,
831,021,550,325,159,554,661,231,395,507,757,957,252,946,564,745,726,438,307,
370,991,325,263,553,540,842,761,699,732,868,811,805,387,414,894,057,271,964,
078,307,702,295,342,891,380,987,346,237,967,632,770,415,752,636,186,966,977,
292,590,674,782,306,877,136,717,286,456,597,192,848,341,701,112,405,302,753,
660,199,138,056,424,517,053,864,450,076,911,035,872,838,974,355,319,234,912,
329,271,643,048,753,707,935,463,651,658,381,746,646,563,544,258,809,648,036,
276,623,422,365,940,124,331,693,432,744,020,509,457,118,471,009,184,140,188,
666,773,908,457,845,778,472,931,872,997,203,410,427,800,427,623,553,373,357,
971,058,913,388,013,233,490,255,148,474,430,255,276,056,481,033,290,742,035,
801,326,119,800,957,354,378,478,549,084,271,495,649,258,441,847,978,439,503,
545,550,020,822,124,807,729,154,596,792,232,096,696,247,282,585,481,846,510,
407,240,004,230,346,449,051,325,758,739,662,321,308,087,906,694,821,362,428,
500,085,799,114,244,170,447,237,579,480,893,776,465,543,747,040,406,281,266,
093,783,557,728,982,310,402,758,502,252,804,055,574,339,918,471,825,673,747,
721,986,200,243,055,324,422,334,336,392,574,953,388,539,966,588,726,449,890,
891,461,003,031,707,555,102,167,536,191,976,891,420,782,478,017,373,217,148,
742,582,829,294,424,508,458,503,413,796,890,200,753,767,649,067,368,361,555,
420,356,762,060,729,712,976,428,275,577,378,124,449,524,270,440,516,269,478,
567,307,114,798,660,260,406,507,427,800,002,285,845,501,633,751,046,028,319,
792,755,134,859,258,496,343,785,046,707,155,567,645,216,054,549,144,459,313,
596,167,581,590,281,428,236,778,175,676,376,780,023,992,847,195,206,572,440,
724,848,973,854,218,803,820,195,827,596,801,114,829,217,223,849,839,777,859,
580,344,880,554,182,250,292,536,079,970,022,811,502,008,347,631,910,796,975,
116,212,293,821,329,602,264,797,921,180,761,273,339,577,740,069,325,142,298,
108,871,111,897,890,717,149,696,112,881,800,479,286,267,791,832,078,622,240,
687,421,791,455,399,315,027,297,764,564,824,601,168,156,833,518,874,600,398,
333,818,775,886,559,211,885,178,867,317,752,139,331,051,652,961,613,584,156,
068,472,118,420,711,434,973,337,023,365,744,666,874,889,478,118,092,959,313,
697,815,542,475,653,255,870,612,891,042,754,265,921,030,657,839,043,998,559,
008,177,503,269,996,536,640,392,739,777,546,189,286,722,292,908,544,811,090,
343,738,627,091,666,081,933,769,005,865,136,550,222,467,094,670,426,309,805,
620,263,437,833,397,297,786,094,688,288,027,725,780,040,150,604,057,844,522,
463,854,356,971,775,284,343,951,018,552,152,423,813,874,172,592,230,564,508,
695,886,793,874,142,131,962,232,729,406,807,855,189,985,546,110,292,210,182,
252,476,726,714,424,744,949,882,031,331,669,183,572,458,376,432,109,057,176,
622,805,660,806,891,895,499,984,039,774,468,220,804,462,499,868,636,318,458,
863,134,607,343,536,917,801,906,317,777,493,154,513,131,836,644,715,324,862,
434,707,952,728,189,405,020,683,793,715,015,675,950,496,924,259,990,744,650,
360,340,521,029,598,029,089,009,723,554,574,193,130,212,699,050,687,270,896,
672,534,755,483,410,215,855,545,040,718,088,236,503,106,502,047,594,094,364,
275,204,367,779,407,741,285,021,966,673,194,144,665,050,918,807,248,825,877,
024,365,404,710,602,719,150,663,279,056,617,675,691,154,678,382,241,742,155,
820,309,550,519,536,470,728,142,120,421,404,124,263,057,457,413,845,986,246,
703,054,936,640,538,610,822,699,589,896,745,779,577,656,199,212,131,038,691,
992,176,075,948,033,504,865,739,520,926,643,504,531,287,926,354,775,044,635,
097,796,380,885,066,198,215,349,617,200,397,285,390,058,179,034,413,786,718,
462,831,268,869,727,486,653,572,683,603,312,032,309,167,177,428,150,526,211,
424,794,460,129,514,071,590,919,116,828,768,861,558,905,870,802,761,092,973,
156,551,247,171,652,900,161,931,308,366,909,380,922,501,100,992,900,460,539,
890,933,880,914,867,736,380,585,424,491,484,070,551,205,524,742,811,833,511,
001,186,465,935,464,106,042,241,910,045,720,696,102,073,313,010,876,293,310,
862,713,416,014,685,141,395,169,031,229,141,147,842,887,641,423,998,127,195,
228,786,548,829,976,810,457,421,183,964,755,120,937,488,324,356,403,923,013,
158,475,211,985,072,229,301,755,669,238,093,248,596,947,729,411,117,098,420,
362,910,367,426,979,750,726,970,704,463,849,059,113,821,702,021,100,389,606,
878,270,030,262,072,261,133,558,355,813,973,490,786,957,730,579,439,802,386,
598,665,582,630,273,720,522,380,661,030,197,836,050,424,462,933,774,692,307,
831,239,278,003,987,965,793,699,569,725,743,835,175,767,676,347,775,919,339,
452,899,514,489,311,778,823,241,686,622,919,194,278,234,073,789,546,468,916,
724,871,607,655,483,370,438,579,521,060,039,822,320,737,557,748,470,917,248,
706,271,635,909,613,914,923,456,619,605,931,990,026,575,806,151,733,274,079,
738,716,686,038,720,370,519,797,865,323,072,512,443,278,342,060,624,419,665,
535,939,854,897,912,146,311,083,526,028,657,225,341,013,842,552,872,774,714,
379,954,303,941,455,927,634,716,250,344,109,576,785,228,778,212,351,377,052,
086,098,156,849,173,000,499,092,658,902,599,155,933,490,621,835,917,826,430,
440,937,317,895,777,671,167,539,406,494,621,762,357,972,965,666,393,044,083,
283,061,915,991,592,090,121,314,259,195,376,561,359,517,292,384,330,221,441,
973,191,950,632,090,701,419,105,049,847,899,183,482,110,864,171,988,698,133,
407,663,979,754,563,173,089,238,685,335,482,568,004,301,186,755,905,332,023,
763,329,417,949,337,044,184,156,104,914,664,610,108,874,536,419,519,239,343,
696,980,046,356,830,508,196,591,734,804,985,785,445,942,836,037,921,370,785,
552,850,528,089,096,997,915,288,372,657,919,905,809,630,781,483,804,963,718,
314,752,174,668,480,250,441,824,561,772,096,174,105,616,737,168,904,319,925,
532,856,852,172,381,839,338,620,370,953,607,103,262,737,494,662,022,470,502,
027,305,482,888,810,972,524,107,645,515,647,026,876,963,398,012,125,114,998,
258,264,718,230,928,051,159,591,792,859,660,337,445,380,104,220,933,431,488,
626,442,851,902,148,147,939,389,248,638,437,283,207,975,167,429,069,535,459,
264,320,595,679,055,445,036,785,346,199,487,181,073,303,612,345,783,599,207,
270,615,916,368,170,948,701,662,159,630,772,823,219,815,542,517,231,629,281,
805,640,252,603,494,692,269,337,244,406,589,040,729,206,943,902,827,482,944,
814,437,378,514,436,680,363,157,197,098,556,943,348,968,533,559,708,536,488,
483,463,371,038,492,887,257,527,009,938,101,893,136,806,930,360,054,506,616,
406,721,381,174,905,308,498,872,255,122,376,152,801,755,206,099,844,813,840,
065,287,192,266,487,595,110,065,581,824,703,093,129,399,952,870,988,886,457,
624,844,661,406,603,541,519,800,418,882,517,703,851,354,593,088,095,320,462,
859,460,361,801,709,515,771,550,258,618,885,265,327,357,050,459,101,807,513,
232,752,696,301,344,692,746,871,123,373,407,964,036,041,461,961,971,142,658,
713,222,372,751,008,250,659,053,920,092,332,661,815,755,610,815,605,731,467,
873,486,723,617,068,880,028,003,070,665,411,384,845,427,904,428,435,978,485,
430,868,757,626,392,188,601,848,640,874,847,073,451,702,596,383,757,861,052,
967,439,405,201,469,525,732,535,729,005,049,110,490,459,450,311,048,728,516,
448,193,951,520,588,485,811,553,754,032,637,627,849,903,155,852,265,127,973,
926,929,848,589,091,206,762,936,200,849,714,842,800,060,495,298,754,743,099,
228,420,677,728,266,637,228,285,331,484,786,856,406,022,503,819,663,281,402,
606,774,639,941,645,360,944,971,248,675,335,472,517,385,560,012,438,872,768,
825,957,523,646,355,005,891,844,937,390,967,125,074,640,856,359,502,066,840,
032,370,528,391,518,631,244,585,503,061,080,328,260,549,056,892,482,995,515,
907,467,964,555,715,748,832,178,657,745,894,954,110,045,141,027,211,815,736,
109,581,109,217,385,424,776,714,657,827,014,415,929,082,650,169,373,820,587,
952,516,315,224,379,476,066,711,647,120,440,124,469,256,234,409,118,396,103,
380,271,761,286,901,951,171,647,445,968,876,836,035,184,497,866,456,624,735,
947,033,237,265,413,943,419,101,886,054,814,322,183,125,309,321,081,469,336,
745,717,770,618,531,478,360,753,351,912,369,904,507,721,713,166,218,825,390,
807,182,157,097,928,482,074,805,656,594,766,376,554,000,345,768,162,468,613,
485,380,174,542,122,895,706,938,110,633,575,080,884,170,863,165,973,981,662,
053,538,876,158,732,708,749,538,913,925,177,508,838,394,947,864,056,580,789,
120,728,100,283,710,155,438,789,926,255,109,994,660,812,332,237,398,433,886,
184,513,895,660,080,488,706,704,259,658,770,049,058,537,315,302,421,352,282,
703,352,197,292,432,971,034,193,242,095,959,612,079,480,743,268,065,587,569,
191,522,219,631,523,724,394,893,343,944,736,002,574,108,351,982,675,447,265,
488,208,602,958,350,863,006,781,753,050,946,686,599,250,790,625,377,379,781,
647,277,466,913,500,505,860,768,289,592,019,857,540,855,034,940,862,105,867,
774,050,219,142,220,678,816,277,720,956,388,269,850,019,557,303,025,730,711,
044,862,543,983,605,397,918,200,102,495,808,926,565,288,882,283,131,742,487,
348,180,891,133,152,338,277,616,264,389,320,486,267,864,170,747,421,352,244,
237,943,122,353,725,334,213,525,653,519,216,279,855,974,517,060,556,732,218,
679,083,464,402,424,730,678,732,404,129,966,639,958,606,410,762,164,625,988,
063,654,385,601,722,407,553,917,789,620,251,195,253,401,294,297,586,431,461,
710,475,439,884,547,627,838,857,504,908,521,882,603,887,249,786,056,025,938,
070,580,561,384,515,081,376,242,381,241,590,130,270,667,009,955,797,588,043,
722,605,132,800,824,464,566,546,046,434,704,175,428,290,606,039,758,065,254,
437,252,306,449,773,455,787,599,537,333,697,102,959,445,196,840,618,663,609,
267,764,020,278,168,442,333,935,462,812,967,735,937,401,460,030,372,922,074,
521,406,335,489,315,211,561,445,097,482,256,765,918,629,031,382,784,606,243,
445,698,892,431,070,598,921,616,641,429,794,947,327,673,046,423,616,383,498,
805,009,318,458,824,574,300,167,846,793,164,194,721,135,922,749,677,381,979,
807,054,773,998,740,656,737,049,306,874,824,830,662,555,389,562,902,726,178,
567,764,534,922,447,367,325,690,206,957,013,054,694,829,110,927,988,970,431,
245,100,171,655,641,236,364,627,351,089,309,494,537,099,745,930,732,375,380,
552,171,831,276,260,795,441,110,310,532,218,280,793,995,089,583,330,228,431,
715,697,558,661,249,678,878,394,887,458,592,476,421,056,769,563,698,267,345,
447,686,604,545,355,740,899,254,048,684,574,041,567,462,498,829,862,486,766,
189,234,103,626,841,390,543,641,323,011,815,156,993,711,685,559,102,625,982,
399,903,259,881,248,829,790,459,606,862,950,296,712,154,305,467,390,155,456,
943,203,698,846,323,610,286,454,439,952,688,920,214,427,913,196,072,192,475,
596,482,756,770,538,329,402,602,263,992,899,283,769,844,754,828,075,537,320,
358,423,899,608,130,140,680,767,279,772,215,949,849,137,958,456,953,370,992,
256,497,588,551,615,151,669,125,604,478,659,052,890,421,616,622,788,809,749,
059,947,627,795,043,425,812,411,064,764,524,434,201,280,939,941,741,008,315,
887,376,247,856,458,800,151,624,942,106,161,277,526,864,331,626,291,267,133,
728,280,176,520,498,137,110,966,471,965,030,205,903,024,632,738,846,010,038,
910,693,368,494,453,744,307,353,877,656,589,946,967,102,891,686,657,359,377,
693,063,593,860,205,268,556,696,598,915,280,858,203,271,036,482,770,602,709,
675,202,969,311,448,424,078,469,910,303,823,239,097,618,769,660,900,360,809,
310,796,626,103,290,618,343,685,951,082,741,763,035,700,541,914,237,467,649,
909,234,604,118,383,392,772,235,699,124,106,812,754,563,576,291,121,694,480,
191,571,158,414,546,151,915,523,326,915,653,806,221,071,085,643,341,204,438,
989,181,195,660,034,696,358,837,520,160,102,238,194,587,811,107,196,748,481,
778,232,083,978,685,622,858,385,960,409,194,726,356,753,417,629,519,433,050,
028,745,867,400,395,197,173,105,988,051,455,379,160,254,969,749,645,216,447,
437,198,649,044,793,777,748,438,107,537,004,725,015,650,915,424,267,059,534,
126,323,597,909,748,135,491,445,831,888,574,237,703,403,910,815,573,601,645,
824,366,105,238,265,022,583,424,398,771,142,496,772,152,882,089,919,526,629,
265,105,729,689,947,651,595,114,607,113,695,560,405,640,539,752,158,147,797,
148,862,943,225,192,849,633,448,792,238,608,264,083,134,658,897,633,558,079,
419,069,347,797,920,348,600,202,955,856,785,789,905,875,211,366,499,786,338,
347,541,831,345,384,880,608,746,342,068,585,318,068,468,880,083,643,000,851,
254,516,113,202,690,615,814,353,284,484,453,893,546,028,911,344,673,133,051,
314,055,271,358,342,118,227,509,146,643,114,541,455,673,043,665,015,973,957,
997,404,720,553,965,433,050,690,519,708,861,420,615,135,707,058,816,356,084,
123,030,738,615,952,728,300,597,056,532,497,197,554,762,969,825,895,962,866,
915,062,613,871,088,926,779,843,490,590,549,027,013,020,447,156,585,309,146,
107,347,585,374,572,064,777,155,687,732,319,494,113,648,220,418,725,296,385,
742,790,439,847,191,142,035,205,572,622,403,332,617,048,331,458,094,075,311,
129,219,818,619,158,180,729,110,501,565,497,358,057,316,225,213,442,341,776,
782,590,149,251,865,621,060,913,760,764,920,718,814,751,775,414,242,563,824,
129,289,353,590,480,860,528,407,190,322,846,107,900,022,345,379,101,975,066,
962,309,242,791,430,607,267,911,072,670,451,135,800,743,593,177,390,699,579,
331,238,861,606,387,821,348,917,219,263,440,927,427,340,886,557,681,203,061,
552,698,770,585,110,038,310,718,667,969,748,318,761,143,142,724,222,872,450,
986,626,469,585,767,695,084,451,486,309,721,851,282,608,498,635,804,683,493,
516,061,501,346,773,079,346,414,044,551,256,153,026,786,440,994,976,617,903,
230,413,399,783,205,868,932,693,370,007,512,665,259,076,962,868,408,880,279,
227,534,334,908,667,270,889,242,995,028,640,032,147,592,558,178,862,914,844,
863,456,219,777,696,700,355,353,370,663,404,968,210,810,669,946,675,921,249,
333,670,960,024,010,123,389,495,917,027,105,596,585,691,686,195,689,929,559,
553,635,164,386,013,800,252,801,381,487,863,024,023,412,019,153,258,787,640,
662,469,239,723,498,303,934,058,022,857,540,724,804,546,496,494,338,927,023,
846,291,509,167,094,699,675,263,794,445,591,472,461,596,834,628,576,018,492,
319,826,251,371,524,597,475,410,067,280,892,477,540,935,225,527,686,234,835,
212,907,258,130,692,571,226,870,647,065,951,570,254,133,214,624,820,811,018,
924,507,686,134,712,784,697,679,210,913,978,259,629,467,746,081,401,199,306,
082,859,898,706,750,252,911,592,389,582,508,291,093,112,843,076,145,150,566,
572,287,348,936,275,593,017,706,528,150,503,713,971,244,440,077,325,886,604,
564,319,239,127,377,926,979,771,051,773,932,044,552,120,848,955,745,420,775,
802,121,731,008,984,686,545,004,103,443,561,526,148,869,008,935,604,125,034,
816,150,352,606,296,844,044,092,943,112,940,226,430,557,467,566,066,953,054,
134,101,137,071,691,662,713,911,303,963,093,967,434,410,722,837,942,868,497,
621,226,560,847,835,439,479,783,416,909,811,196,334,501,098,473,318,829,777,
381,433,647,810,864,733,866,979,191,143,514,868,715,452,622,429,455,488,068,
881,795,063,460,390,916,365,528,105,124,994,226,290,119,766,632,956,392,446,
511,520,004,236,216,116,892,899,078,650,351,420,795,837,932,864,274,316,330,
691,959,333,984,970,777,305,313,731,794,850,318,343,531,564,561,564,467,918,
219,331,595,944,748,802,391,696,862,222,640,072,012,631,703,699,758,964,524,
187,797,581,906,169,399,737,388,690,096,402,800,423,713,999,627,044,244,947,
583,297,859,803,815,976,608,240,749,559,675,867,420,367,717,913,670,079,341,
649,320,107,916,945,101,174,062,954,908,765,371,860,916,029,973,289,877,301,
405,558,256,860,461,990,244,664,242,400,862,569,234,746,549,753,661,600,478,
062,282,155,369,024,809,887,434,379,464,647,758,105,875,162,002,062,752,675,
806,393,908,134,121,168,772,756,737,938,109,727,690,202,817,667,256,202,192,
696,859,809,885,639,508,695,415,505,806,230,136,285,186,376,253,651,923,168,
798,624,574,898,389,611,701,078,856,388,322,709,721,488,070,587,461,099,786,
567,180,807,970,969,045,416,470,228,420,838,180,288,166,391,612,841,900,587,
849,487,862,661,157,957,912,721,553,441,837,981,457,246,506,389,721,048,685,
371,162,136,348,403,481,311,241,196,153,838,130,047,892,763,472,919,698,327,
085,584,072,238,454,151,508,788,220,298,912,611,133,809,919,445,211,110,940,
829,057,409,265,025,002,019,112,740,979,444,601,317,106,671,822,097,307,395,
741,595,502,378,162,808,918,943,057,358,961,560,881,487,672,451,053,508,072,
173,209,309,504,383,065,147,766,248,729,904,361,845,755,120,245,052,382,384,
409,952,891,917,313,086,561,897,031,487,303,386,610,384,910,634,068,356,279,
715,027,842,743,347,127,920,050,282,973,107,483,818,188,461,610,692,462,790,
433,583,515,895,549,333,613,638,830,910,337,661,441,457,550,231,797,359,361,
766,165,929,662,456,361,719,694,938,132,735,948,724,554,023,161,080,000,179,
884,429,476,300,685,350,925,653,678,703,624,789,097,154,902,898,152,843,010,
750,850,854,944,052,678,615,671,238,611,684,353,586,672,782,723,531,823,533,
523,625,867,718,926,592,884,707,988,617,983,291,510,065,517,564,917,386,770,
973,519,928,699,730,002,783,222,656,686,646,707,509,294,143,310,939,520,110,
745,311,094,356,741,436,387,124,918,735,727,294,830,102,218,119,979,879,938,
183,256,186,964,497,033,089,252,489,796,535,048,324,799,000,683,233,300,082,
571,697,732,944,948,444,164,236,591,956,885,467,911,664,044,972,840,039,405,
326,956,442,954,691,544,377,326,933,132,486,800,234,041,135,320,273,224,764,
279,006,819,097,582,703,986,312,932,961,302,730,412,926,282,516,960,550,552,
690,445,486,354,098,007,231,314,806,183,619,862,693,405,837,354,440,751,679,
672,229,832,546,876,591,992,205,654,760,309,282,820,316,858,084,102,530,364,
925,054,432,953,712,363,598,464,671,418,081,863,719,133,443,133,483,239,629,
238,747,760,294,155,819,063,866,524,754,179,792,165,267,977,668,943,911,882,
096,127,355,131,028,836,300,382,389,236,978,615,063,796,021,540,326,716,443,
462,558,705,706,393,594,664,911,698,905,743,852,126,919,805,958,485,874,879,
819,125,841,550,454,699,327,540,082,928,241,608,600,443,720,554,606,080,595,
873,250,896,383,810,761,110,598,891,929,476,528,991,114,489,879,280,633,449,
933,206,614,652,498,384,845,965,678,193,501,522,686,448,904,718,928,700,350,
263,904,873,400,687,250,116,652,554,068,121,217,458,323,441,462,270,074,091,
511,897,379,497,221,876,963,595,088,183,458,024,966,141,346,389,705,912,294,
317,643,334,073,341,942,773,922,874,335,907,714,393,043,262,016,910,086,209,
964,659,856,665,996,522,906,730,973,236,042,903,960,273,529,257,270,623,352,
835,159,190,648,661,204,796,833,665,591,889,527,126,875,798,800,045,049,913,
572,756,995,862,972,590,227,062,673,104,439,058,963,927,152,233,226,209,985,
342,326,719,844,004,343,327,501,032,996,528,944,380,577,561,332,188,798,204,
443,140,126,005,832,081,528,915,544,133,243,836,314,020,637,121,087,299,120,
805,597,797,165,596,867,893,741,443,204,483,147,677,002,851,492,617,103,406,
370,888,726,524,063,513,705,436,126,054,056,193,324,487,825,684,354,938,448,
767,240,907,411,559,305,092,508,336,988,718,491,430,635,713,202,488,351,080,
174,957,376,562,324,194,791,185,602,875,356,590,725,820,910,311,126,210,687,
080,757,023,012,687,250,586,750,461,395,586,734,096,010,278,096,034,311,164,
652,746,841,240,857,293,704,854,878,305,961,263,369,607,284,541,723,659,141,
112,906,331,056,484,883,432,397,234,072,288,552,765,174,044,129,579,253,342,
006,917,914,607,425,631,429,640,909,204,429,790,198,681,897,274,932,946,210,
102,552,698,991,703,789,751,140,293,449,802,160,365,229,893,314,149,723,115,
246,461,619,185,794,089,157,336,769,807,323,546,313,730,821,869,597,351,783,
189,846,365,235,873,225,986,185,798,872,098,495,139,905,271,835,320,929,712,
026,074,309,197,604,292,882,703,662,152,272,384,233,630,480,117,496,220,627,
483,581,224,917,727,216,814,225,670,255,060,507,440,651,966,049,269,455,109,
928,512,427,086,049,396,262,882,097,435,144,853,096,971,839,125,074,411,809,
977,639,085,430,505,828,566,731,566,988,922,459,201,312,566,157,623,206,561,
175,218,505,674,294,910,629,137,088,027,206,051,736,951,972,740,097,693,608,
738,547,592,995,974,617,938,511,707,160,557,617,588,720,705,897,635,775,042,
681,314,988,387,871,911,509,682,371,272,660,933,450,027,312,537,361,562,461,
683,704,286,771,620,462,031,585,997,146,354,973,451,254,852,501,881,564,609,
228,424,116,714,365,300,397,786,348,126,748,587,329,268,593,649,272,273,661,
276,696,110,118,909,280,547,028,762,095,066,712,984,702,087,404,982,679,808,
106,871,213,249,538,978,842,943,109,509,309,258,045,003,072,433,285,364,680,
730,637,190,455,070,369,420,195,321,483,923,254,213,022,917,779,834,937,609,
149,840,016,977,409,056,499,115,680,609,334,406,075,188,461,031,651,329,338,
386,523,956,536,207,049,970,601,600,702,244,301,374,547,472,683,744,945,980,
546,494,858,893,017,335,318,552,591,165,776,250,330,906,865,758,455,305,008,
274,065,860,443,918,056,251,705,613,608,702,375,436,695,226,239,358,173,186,
805,944,055,929,639,712,086,527,604,873,891,177,917,482,721,668,593,796,280,
588,195,807,473,941,562,691,491,017,962,787,949,617,941,243,516,512,420,603,
774,156,923,972,673,404,055,661,988,848,258,869,258,985,716,632,360,835,887,
430,151,418,518,917,790,166,981,608,604,581,536,628,955,588,179,107,523,972,
937,752,183,146,919,919,301,235,162,157,833,304,249,051,304,145,009,559,721,
594,048,630,714,406,337,258,350,542,262,284,982,674,371,837,101,028,757,061,
471,180,077,093,194,048,377,545,178,345,740,703,301,980,386,038,599,825,635,
938,261,579,636,026,334,420,264,048,345,160,122,529,890,423,493,895,399,404,
148,644,983,044,295,579,798,434,332,076,541,618,187,435,003,200,855,450,338,
231,681,319,399,161,759,052,822,229,796,942,814,840,448,876,483,367,818,952,
327,557,664,569,226,525,998,927,975,816,106,115,049,257,463,921,490,261,550,
581,841,076,448,302,069,316,808,646,402,483,724,015,254,212,799,577,507,673,
870,655,187,829,664,664,725,676,395,033,330,405,799,842,232,389,104,915,850,
947,013,533,215,284,222,428,100,679,845,219,731,389,023,940,269,166,535,038,
308,175,637,884,530,686,682,544,573,950,159,558,276,989,566,386,312,903,932,
028,854,642,990,670,495,654,863,792,706,734,718,191,625,997,927,380,360,153,
322,550,702,688,923,012,450,122,996,491,074,722,885,691,401,324,251,549,832,
416,258,539,025,613,139,550,817,061,030,326,560,904,734,210,049,334,871,086,
187,146,415,682,770,272,781,528,025,580,361,004,515,610,784,500,235,050,208,
226,327,191,826,821,340,210,181,752,822,085,924,167,819,048,991,091,987,903,
580,156,615,703,608,118,281,439,603,950,945,092,506,828,661,823,320,793,367,
941,562,662,638,577,119,960,371,162,715,841,413,512,771,503,490,988,107,921,
957,298,895,728,782,374,734,918,939,814,130,665,171,532,291,437,374,205,671,
667,511,745,479,050,423,064,056,451,247,301,914,112,365,559,943,539,737,438,
480,721,896,922,827,689,910,749,495,779,717,422,350,560,049,287,276,103,768,
480,220,768,149,482,325,027,935,938,222,763,720,881,196,251,540,077,587,936,
442,826,673,662,570,888,882,906,529,802,767,823,977,708,264,075,777,953,450,
720,990,192,213,991,177,160,622,823,330,161,546,003,842,696,811,411,934,406,
076,166,038,176,291,302,503,585,797,721,998,335,935,440,401,655,432,345,533,
924,714,394,988,023,444,308,161,252,308,395,945,919,266,065,604,258,848,492,
747,351,631,508,414,162,773,004,379,787,546,169,393,949,460,494,790,543,258,
791,454,244,045,284,065,614,555,339,373,216,120,604,373,743,948,283,202,724,
274,372,339,075,652,663,552,812,428,951,495,112,268,569,402,417,065,117,248,
540,180,522,530,690,630,756,265,488,268,748,257,516,276,448,525,738,163,614,
621,711,507,634,914,959,551,460,399,839,826,660,997,679,600,885,043,424,167,
113,744,404,544,487,092,354,897,236,638,015,607,352,397,525,051,345,411,425,
509,586,530,118,103,919,450,220,602,668,476,087,087,946,422,186,380,066,303,
142,990,667,655,106,465,469,129,686,195,961,544,640,252,165,344,048,759,571,
233,665,400,017,954,864,505,438,726,978,419,311,807,440,694,893,609,951,344,
158,183,077,786,267,170,669,695,338,762,209,509,485,176,454,375,026,452,385,
800,974,871,263,763,511,688,842,773,496,959,629,864,056,482,152,838,141,420,
738,420,958,436,282,691,912,358,110,226,872,480,220,925,051,016,372,555,798,
953,118,835,386,472,088,098,729,110,649,336,774,200,788,682,974,955,117,949,
280,922,577,132,163,003,840,877,611,266,864,211,209,680,092,070,791,622,487,
757,583,757,084,599,729,512,359,079,835,646,958,609,968,424,402,088,496,810,
809,562,914,837,794,657,884,330,399,748,698,839,746,849,750,739,403,817,141,
919,744,313,522,360,237,893,825,321,903,030,426,887,856,150,797,872,481,028,
096,082,316,700,928,488,523,603,705,904,436,692,437,744,079,602,078,037,443,
021,096,497,220,739,983,899,369,884,413,729,116,806,773,998,550,026,767,181,
516,332,003,024,347,038,925,105,855,394,282,673,239,957,024,969,909,030,594,
296,592,060,020,595,979,265,245,700,842,198,067,739,042,784,827,329,204,075,
898,482,865,518,419,292,266,892,551,632,067,980,849,792,072,214,398,347,241,
930,340,145,421,476,503,273,600,840,658,312,820,490,693,479,817,150,855,195,
286,725,848,922,108,656,026,893,681,609,046,315,050,046,507,091,558,090,571,
268,751,061,363,568,631,564,522,234,045,757,594,746,762,579,419,324,174,451,
673,849,627,894,435,310,975,404,798,158,986,994,059,094,386,829,709,126,825,
485,966,734,790,977,158,495,222,610,486,847,116,398,226,564,135,376,261,765,
339,890,628,068,944,041,777,090,574,178,768,511,458,198,995,298,132,178,455,
289,086,400,058,963,665,733,387,218,011,185,730,025,235,539,356,488,576,557,
800,457,375,033,957,695,449,790,536,677,123,915,557,702,232,749,764,104,287,
360,265,126,104,765,115,089,540,261,099,211,162,705,015,031,796,272,058,981,
597,393,876,066,995,832,050,178,258,445,728,347,656,442,029,425,534,269,924,
476,247,964,418,448,160,675,933,418,020,693,999,509,927,738,068,018,153,222,
220,905,207,269,227,409,715,188,706,568,492,578,348,852,709,256,438,293,257,
027,800,869,741,926,306,355,560,340,482,325,937,995,359,247,202,576,835,440,
627,387,750,500,317,204,488,724,421,363,698,593,340,286,522,552,749,032,482,
055,448,261,806,124,431,621,164,560,494,899,826,580,416,234,161,338,540,627,
214,757,575,690,157,453,283,842,639,925,357,201,743,316,076,519,985,228,488,
503,164,041,571,614,729,027,599,546,517,549,550,282,962,976,011,797,451,361,
471,451,276,976,950,632,232,551,991,155,400,273,374,110,088,069,345,470,503,
324,489,671,201,865,949,506,054,049,189,187,532,065,714,116,780,337,726,623,
445,736,836,253,596,631,567,282,521,798,992,671,800,253,644,820,187,298,140,
343,940,391,324,123,356,590,751,976,699,349,617,392,976,788,975,407,368,896,
799,133,679,912,237,176,364,787,743,720,735,762,654,731,303,267,125,921,857,
444,204,577,370,132,072,360,618,397,306,299,158,411,001,327,285,401,052,987,
601,262,596,356,289,206,194,730,283,937,857,707,340,395,262,118,867,636,470,
147,468,767,618,326,586,130,734,999,693,095,344,142,993,641,416,131,046,754,
241,528,014,250,695,970,348,524,955,680,226,167,849,304,049,602,392,306,226,
714,715,234,053,761,312,724,359,834,981,343,950,804,299,024,586,323,107,157,
341,636,222,904,137,224,441,854,614,676,480,076,803,605,570,640,442,739,902,
566,047,092,289,025,097,685,444,518,990,601,290,946,217,242,761,055,428,044,
562,362,321,555,931,016,483,931,226,276,445,875,796,573,187,690,775,101,941,
903,119,075,509,893,716,539,084,007,951,934,360,440,710,334,145,729,258,896,
064,509,373,140,901,611,115,761,697,008,379,831,579,325,767,171,127,245,041,
960,260,424,466,218,647,355,560,809,606,798,885,001,384,146,299,374,807,788,
187,852,545,422,917,048,226,538,885,975,849,697,569,783,356,810,646,499,011,
074,332,793,539,477,133,956,498,367,372,529,025,044,074,284,670,521,755,088,
937,465,035,432,837,754,475,144,166,459,809,827,809,420,173,917,162,188,995,
795,915,795,680,871,059,076,642,723,165,783,145,650,337,723,440,060,766,943,
711,586,672,036,357,629,352,077,941,782,948,739,404,037,670,546,364,422,170,
029,782,189,563,207,819,227,606,488,228,532,094,357,516,948,455,263,734,993,
833,343,487,343,995,427,978,540,787,264,004,619,294,915,747,008,670,406,145,
921,808,631,856,150,037,820,371,571,463,699,851,665,031,746,270,693,543,143,
807,349,283,947,660,138,698,418,312,169,094,272,845,777,077,860,175,893,715,
699,935,182,357,387,850,664,517,191,294,997,039,745,738,562,820,056,136,091,
777,337,583,438,637,445,464,229,468,654,090,005,178,988,142,073,370,015,046,
446,697,254,104,888,932,808,690,041,187,659,639,967,861,856,860,207,878,621,
413,038,114,960,430,902,741,124,552,505,968,298,783,724,340,245,769,720,022,
560,435,660,475,809,980,286,401,848,406,531,572,500,301,487,495,136,451,646,
040,108,132,997,877,699,481,708,728,464,141,289,230,397,336,359,565,735,399,
710,220,812,265,630,070,495,973,928,349,789,541,609,521,022,545,535,562,540,
942,748,249,366,442,122,287,892,890,219,984,475,621,905,986,694,878,392,362,
196,738,038,462,627,949,215,408,686,465,660,798,124,885,874,692,384,593,342,
711,909,926,843,473,668,344,078,956,717,904,379,839,258,991,687,156,897,029,
454,631,052,478,606,214,796,186,118,084,959,150,608,574,384,936,654,598,047,
523,516,194,436,591,076,479,413,957,931,702,592,935,631,024,919,314,458,877,
696,682,392,648,230,232,751,804,040,988,244,270,003,253,817,139,728,544,939,
123,190,213,095,147,159,917,286,647,877,694,280,336,767,995,904,513,659,085,
764,764,063,762,502,465,934,446,059,932,378,287,025,685,637,643,449,898,430,
693,301,019,745,735,642,595,382,147,487,715,998,241,526,078,770,685,657,967,
309,948,064,855,547,295,560,246,790,163,931,755,286,631,681,131,853,980,485,
722,874,866,590,642,802,708,383,055,942,431,572,355,888,550,259,814,204,349,
813,262,781,762,333,881,913,660,842,173,439,101,715,859,330,824,753,797,241,
544,475,357,039,977,608,181,104,506,138,737,791,575,274,300,134,166,120,336,
153,500,273,746,191,139,648,001,532,613,796,438,927,880,231,450,355,505,112,
294,830,110,100,144,203,919,701,225,453,581,302,350,352,289,397,487,564,273,
251,234,007,501,174,451,332,549,892,234,327,266,398,741,298,680,647,334,288,
089,215,336,454,765,004,844,464,389,156,357,108,459,925,626,185,830,294,948,
627,964,082,570,759,535,590,871,301,463,588,175,241,302,592,867,526,215,284,
373,652,343,710,009,951,207,282,071,864,867,840,604,172,087,972,740,465,863,
267,137,946,761,230,198,716,725,573,360,347,840,386,838,894,091,616,168,602,
741,161,625,621,447,684,794,379,081,727,193,410,589,049,181,057,104,430,758,
699,452,377,282,727,066,071,690,430,932,768,999,404,529,809,291,272,108,022,
628,436,557,288,445,965,010,226,592,022,578,831,255,662,832,138,391,960,683,
415,345,333,927,087,476,307,098,305,359,573,216,413,363,662,568,771,793,287,
335,496,236,547,839,124,593,986,875,862,177,990,941,944,055,063,886,625,210,
497,631,560,113,634,002,576,593,404,542,042,513,733,177,849,385,893,412,602,
160,708,464,271,112,476,237,731,075,535,040,558,183,182,468,131,051,168,540,
342,420,242,910,269,434,683,606,717,213,801,503,991,078,093,873,641,990,247,
159,164,679,890,013,143,401,953,560,435,597,851,044,638,620,026,746,481,652,
217,974,952,442,197,921,723,569,861,795,573,377,128,483,192,604,894,952,364,
189,036,926,311,227,139,192,992,644,686,719,976,922,871,210,239,778,204,900,
961,338,848,061,617,170,596,509,759,589,052,958,192,205,921,814,496,966,204,
452,619,003,679,984,348,320,722,564,616,916,539,578,193,272,458,735,779,171,
618,777,299,024,091,521,253,631,837,719,243,669,023,997,278,023,293,100,730,
741,091,201,632,031,845,110,020,072,519,231,621,536,445,887,122,799,411,350,
982,412,506,760,907,082,365,248,385,396,471,479,619,561,056,098,787,861,212,
950,948,988,690,169,039,786,452,679,962,847,416,765,050,760,402,771,317,007,
243,488,239,917,871,372,165,609,323,319,004,371,129,193,256,255,285,004,227,
555,882,530,184,193,848,969,184,398,799,752,985,900,316,464,203,948,443,393,
343,676,687,474,369,467,565,466,996,336,359,919,439,932,285,860,895,256,642,
092,101,912,710,936,272,277,928,967,866,498,878,738,951,912,845,008,949,791,
879,639,586,212,517,775,058,944,241,363,577,443,881,765,474,695,503,750,113,
516,175,060,409,014,185,345,217,809,094,078,435,296,382,286,949,427,607,000,
933,815,443,414,207,817,527,513,405,695,497,149,130,310,367,055,775,092,940,
405,283,082,811,144,606,032,345,473,670,313,168,568,863,460,360,098,353,045,
042,846,122,568,256,380,198,340,676,011,995,308,585,175,803,611,689,568,020,
895,265,774,480,109,922,890,136,530,012,528,098,011,515,754,311,672,797,668,
601,007,384,058,547,006,514,315,426,211,577,630,036,621,813,856,254,128,918,
894,335,683,664,373,247,724,683,007,904,161,216,562,096,428,748,573,385,687,
366,513,300,623,522,047,902,602,808,868,372,046,978,732,154,324,814,129,827,
102,254,743,526,485,839,860,844,777,120,085,611,399,019,124,527,807,661,746,
728,650,793,925,782,458,048,606,755,642,926,579,642,147,238,400,872,956,974,
532,264,278,122,464,925,092,896,414,213,581,513,598,562,301,763,627,356,915,
274,856,736,646,347,775,928,876,458,385,440,270,094,125,744,938,700,244,177,
427,272,144,480,421,488,994,447,838,889,635,372,457,160,479,951,884,846,495,
277,627,949,071,376,945,280,665,795,146,365,126,961,723,546,584,078,978,198,
217,191,007,102,068,550,808,955,416,265,129,471,964,057,583,342,479,084,813,
112,081,060,199,125,918,421,656,236,622,851,454,136,343,667,335,189,501,175,
249,794,751,893,688,207,813,947,176,315,167,450,742,869,281,729,969,424,299,
919,321,818,130,333,388,104,705,490,345,398,939,512,475,457,847,960,757,379,
670,827,736,624,182,588,736,566,531,552,342,683,594,303,543,154,956,144,442,
226,472,111,592,456,162,689,402,703,277,534,364,941,475,870,741,044,371,207,
276,376,144,712,968,557,601,420,565,585,386,609,115,789,842,097,944,344,085,
848,381,826,921,420,542,668,552,897,757,263,296,305,609,200,504,154,059,210,
779,752,057,145,014,809,164,482,783,539,888,408,349,048,125,167,882,431,989,
334,024,541,376,386,526,066,407,981,625,236,850,762,762,719,943,902,850,082,
333,071,181,991,099,425,913,120,231,415,868,123,976,142,393,314,547,388,227,
118,852,985,109,262,960,482,991,332,620,431,758,389,869,313,279,038,638,735,
589,686,324,874,551,154,675,807,812,986,133,379,316,348,545,565,129,185,370,
362,978,967,103,950,503,044,303,246,722,026,787,679,562,605,616,063,758,781,
578,020,142,509,942,132,025,491,829,809,489,895,427,376,571,374,578,565,071,
348,360,998,231,534,338,667,639,250,267,607,174,085,824,910,758,959,413,416,
846,614,256,281,236,286,842,108,148,761,460,334,678,313,314,549,049,575,285,
171,742,999,420,693,458,853,473,601,742,865,219,635,469,755,926,554,406,328,
173,835,709,017,113,766,960,663,690,519,965,379,491,033,175,304,637,019,564,
471,136,001,560,492,679,145,481,643,243,486,294,565,215,307,097,680,152,658,
784,753,211,590,917,622,917,128,173,578,838,274,412,664,773,453,746,934,323,
261,535,731,128,889,963,095,797,193,158,207,783,865,560,948,632,464,405,213,
903,697,310,724,094,530,426,634,663,726,593,162,444,069,160,573,391,368,212,
243,675,753,815,045,417,234,204,042,630,113,034,267,156,517,120,705,457,614,
046,815,289,654,144,517,564,756,898,383,319,198,140,822,358,557,321,342,843,
997,057,176,948,912,881,323,870,478,679,137,169,518,269,599,457,704,999,262,
187,012,546,462,664,349,208,660,365,475,763,357,279,566,690,666,182,137,909,
322,857,804,520,923,116,465,755,893,261,616,184,733,730,834,630,375,195,285,
764,134,939,267,165,422,012,517,935,952,278,045,645,887,749,580,665,746,672,
650,435,332,263,632,281,553,343,464,710,131,740,557,738,399,549,587,201,217,
563,780,204,849,235,229,102,494,871,566,981,793,318,211,653,412,071,456,813,
311,002,870,012,243,804,977,880,623,420,814,654,908,046,944,358,537,229,378,
280,574,932,282,185,480,994,705,486,199,095,562,757,283,816,149,259,172,084,
066,359,257,819,578,740,639,468,032,284,704,004,003,928,298,803,538,482,373,
034,349,840,940,455,594,581,023,700,035,153,163,060,781,242,953,740,056,397,
873,577,239,271,455,744,503,229,519,094,384,284,906,361,073,183,766,507,624,
588,264,056,694,417,173,109,933,315,574,495,190,635,258,248,486,633,897,496,
510,644,421,314,013,122,125,410,397,217,546,778,484,963,954,740,342,941,032,
517,772,711,307,734,990,115,471,873,987,599,943,156,978,924,480,821,022,299,
060,353,940,542,622,179,707,906,575,499,520,386,498,742,307,320,041,618,256,
869,945,114,023,466,524,492,149,122,257,332,217,578,301,304,332,332,422,164,
754,277,032,822,012,652,127,971,246,214,368,886,878,394,656,663,351,265,774,
032,409,472,248,147,353,884,179,992,706,323,389,238,760,545,096,768,325,131,
140,784,369,687,850,050,086,583,679,238,817,150,974,485,418,925,414,389,625,
316,044,528,991,105,412,697,442,238,238,644,955,461,331,699,446,978,657,903,
520,793,416,831,920,352,648,440,973,741,173,829,213,833,647,624,147,149,107,
542,081,257,371,409,372,906,366,034,824,944,918,638,875,346,328,757,465,003,
860,667,700,070,167,336,978,581,594,793,421,379,831,773,462,753,505,747,123,
028,686,804,483,504,809,826,412,921,448,626,291,092,913,726,510,003,184,597,
906,228,800,319,226,430,092,313,004,579,713,770,971,851,924,607,160,551,674,
688,151,536,169,012,262,621,800,329,688,733,772,496,813,599,264,433,141,770,
488,163,556,870,935,970,077,360,326,563,119,135,094,735,639,580,436,909,161,
429,300,172,492,609,935,384,008,535,197,718,413,206,469,066,464,820,976,748,
749,216,461,724,116,646,736,585,588,879,708,842,210,954,756,486,436,110,452,
081,249,345,968,866,150,617,794,717,185,105,180,820,887,493,443,720,274,348,
170,680,438,589,993,328,977,133,929,050,817,474,832,787,260,147,226,827,044,
402,319,380,242,669,986,311,305,142,946,536,598,287,270,886,111,091,041,184,
911,545,016,953,583,076,597,709,883,138,899,738,048,367,875,314,366,507,600,
707,558,888,421,037,506,957,410,103,369,237,273,288,287,006,116,472,825,363,
828,246,941,925,793,359,050,143,474,196,500,771,085,233,558,661,496,402,999,
419,289,516,871,416,399,540,681,444,673,697,571,558,163,093,639,005,735,239,
200,592,777,290,603,925,463,332,498,994,128,495,421,550,009,464,243,265,567,
026,708,249,095,854,959,103,709,150,335,309,394,577,512,487,382,863,965,833,
086,789,379,940,026,993,503,692,369,874,558,973,999,780,542,862,275,981,167,
784,839,057,320,594,241,091,649,124,420,163,684,077,987,522,583,756,511,335,
425,917,819,707,017,390,676,238,467,188,168,386,638,933,869,843,722,904,434,
291,098,862,588,708,936,114,429,014,774,972,461,313,102,541,463,485,310,516,
733,880,131,132,301,134,788,971,744,197,536,863,542,305,508,340,407,025,168,
242,346,755,022,031,215,980,833,723,695,590,301,062,442,905,526,226,983,652,
496,578,092,719,677,582,889,317,207,799,698,754,432,066,602,796,184,373,297,
451,684,947,284,038,322,543,244,552,051,880,331,686,434,031,108,643,713,318,
370,591,949,807,967,032,484,178,316,333,343,726,912,481,713,524,880,417,515,
916,724,258,450,482,935,046,268,276,750,757,988,263,531,600,210,127,119,990,
611,781,250,389,959,758,223,442,453,662,587,343,222,605,132,513,677,215,441,
475,563,774,693,385,171,871,009,253,939,712,642,267,418,271,611,775,693,196,
513,966,734,542,139,471,120,299,022,618,573,691,003,295,773,827,798,553,534,
811,988,659,287,185,166,908,315,400,768,753,721,108,857,927,850,723,283,869,
841,153,617,072,930,112,995,686,718,804,455,150,703,100,160,545,871,944,288,
485,894,295,223,416,342,841,486,179,921,714,369,778,670,121,843,387,873,818,
697,585,717,986,862,588,537,607,413,104,018,995,822,467,628,450,359,923,897,
029,064,288,678,210,755,899,886,457,306,679,447,411,076,329,124,424,734,452,
280,584,761,600,506,689,752,746,925,347,103,886,789,836,193,616,105,880,360,
989,498,694,091,624,898,342,656,063,903,776,103,166,362,795,757,556,070,317,
468,235,435,600,559,355,446,955,111,530,034,659,099,030,673,658,256,762,168,
246,748,377,026,180,567,979,996,859,934,588,708,388,783,043,210,308,767,501,
348,876,929,839,099,264,988,758,859,340,136,213,566,678,131,102,518,442,702,
422,626,575,259,835,470,709,943,785,064,878,373,464,145,174,894,348,944,285,
770,914,449,320,607,235,385,946,886,239,878,502,993,880,386,550,508,235,968,
284,970,946,186,198,866,131,643,067,022,348,270,180,725,731,903,841,713,082,
897,528,975,511,868,164,986,476,804,282,243,280,756,906,449,443,400,104,537,
463,933,662,556,034,879,791,092,978,562,788,345,126,472,713,735,566,999,597,
765,224,367,548,797,739,330,676,969,537,059,128,823,393,748,729,938,013,497,
504,158,760,650,996,065,723,784,849,634,302,220,636,845,212,445,910,736,714,
654,515,090,906,351,301,683,345,865,211,222,068,929,501,932,034,951,755,355,
217,753,286,843,636,760,396,359,635,453,809,833,056,286,774,827,965,605,310,
695,086,542,299,391,627,880,576,926,115,299,497,348,304,920,605,792,710,974,
934,753,322,708,336,394,455,104,260,608,905,828,971,331,851,308,505,720,189,
084,534,525,201,373,979,795,364,673,976,121,352,607,534,837,806,838,110,583,
056,383,025,996,506,866,809,388,220,646,653,756,456,420,158,980,379,140,400,
250,796,651,372,463,076,277,764,144,898,689,086,313,592,171,415,746,667,324,
473,363,360,748,894,514,502,996,416,752,703,125,800,097,544,796,965,050,669,
347,951,547,277,666,890,154,432,992,981,969,558,947,911,531,810,138,124,013,
311,138,970,835,842,153,761,289,455,714,382,777,527,609,512,071,099,027,446,
472,289,620,349,215,460,589,364,483,370,668,613,261,318,185,667,760,505,680,
118,262,581,837,868,105,752,880,446,852,871,584,843,939,497,479,101,804,300,
988,125,300,995,373,291,112,245,734,887,922,402,132,837,523,081,739,112,178,
228,553,061,448,571,110,044,065,406,271,707,682,777,775,908,999,329,898,190,
082,712,537,556,860,809,038,436,070,811,859,831,856,632,356,787,930,804,129,
480,565,865,316,603,610,956,139,024,597,078,213,795,852,048,430,962,282,046,
406,320,395,213,220,317,948,286,216,343,819,817,740,936,267,996,934,378,257,
372,438,353,648,018,006,397,567,483,514,495,041,828,080,047,187,551,262,323,
444,448,524,002,487,551,604,693,125,988,265,090,935,974,543,904,770,244,335,
468,886,826,276,591,301,808,598,496,753,966,114,017,503,054,560,987,928,826,
983,129,973,471,148,331,992,511,246,071,304,680,022,997,306,626,356,303,878,
620,630,934,257,200,320,576,038,582,074,818,453,589,533,577,109,933,265,574,
756,021,624,470,843,380,170,542,998,476,874,141,542,043,763,503,157,476,258,
810,413,063,448,642,533,663,611,793,178,175,785,743,217,907,331,278,392,434,
448,151,827,970,616,474,026,627,633,889,377,878,372,807,174,431,260,490,948,
910,029,986,162,999,055,450,137,104,911,489,599,710,182,651,973,185,910,977,
093,591,284,652,039,087,331,127,957,138,032,503,729,810,117,580,353,663,280,
272,081,968,567,182,689,375,542,330,327,684,256,536,860,167,092,070,306,033,
986,547,932,510,624,118,245,030,617,413,960,206,635,534,340,850,315,500,601,
744,724,127,379,905,281,240,514,537,417,176,087,590,551,764,275,786,187,475,
641,796,460,312,850,975,568,881,409,965,967,704,385,561,129,212,116,184,451,
446,340,102,591,949,575,340,298,356,021,912,887,291,793,505,620,583,905,109,
339,382,550,467,382,168,107,622,649,144,726,371,580,400,572,641,292,943,950,
094,462,970,274,888,983,899,362,053,057,156,380,702,978,049,196,470,170,749,
836,169,579,613,591,172,246,777,990,063,586,880,069,345,168,995,059,715,116,
595,210,258,207,927,504,991,949,720,637,946,464,698,938,371,662,168,586,811,
790,822,661,322,369,993,786,284,615,521,989,039,404,898,074,050,193,808,517,
490,915,358,616,394,474,221,256,613,461,130,665,500,796,230,914,981,779,182,
638,868,152,027,378,392,807,433,006,917,602,545,710,305,920,912,213,043,300,
211,970,028,972,217,381,118,017,189,651,876,611,206,445,718,538,333,163,465,
269,263,213,609,943,029,382,437,801,013,122,201,449,402,086,240,041,706,885,
886,724,719,535,129,233,497,269,834,368,384,301,138,872,884,063,288,286,986,
382,649,892,055,636,798,233,637,258,538,899,852,951,915,066,948,872,720,870,
881,891,614,731,249,113,609,527,387,462,053,109,949,061,654,709,342,664,081,
103,759,056,386,709,686,223,124,951,830,143,491,640,751,144,253,040,197,040,
549,377,929,114,508,042,066,830,094,813,655,206,579,921,438,557,874,285,024,
667,151,576,621,440,028,566,280,203,314,192,290,040,203,775,381,064,964,672,
312,450,220,623,344,896,904,397,217,114,245,331,605,125,568,660,201,577,293,
710,894,813,326,567,856,634,358,258,613,769,145,354,060,258,441,786,745,043,
717,834,401,407,259,524,273,713,069,716,123,049,609,451,308,063,980,648,642,
927,424,505,050,130,293,671,247,244,656,321,011,210,294,259,021,154,450,640,
599,561,490,318,537,421,211,842,738,978,912,065,969,019,183,669,613,344,301,
290,095,636,926,764,308,204,448,991,316,070,043,438,435,416,930,070,649,578,
482,691,916,050,628,666,708,676,293,645,453,588,002,882,696,039,975,017,805,
926,864,283,524,496,975,894,365,196,677,121,186,498,994,154,907,063,952,225,
565,689,785,808,842,556,448,903,127,369,500,296,221,921,328,103,220,197,993,
099,221,442,970,769,804,960,435,877,045,814,121,432,234,430,347,760,187,904,
600,538,036,281,954,111,093,153,695,871,025,321,485,082,084,997,903,368,858,
723,351,975,425,778,775,655,582,594,496,569,220,058,284,857,933,629,241,876,
775,548,908,937,301,362,276,879,244,430,889,166,913,685,802,857,726,039,993,
864,478,417,413,857,503,606,279,641,588,926,332,622,437,944,249,287,922,736,
568,603,019,262,314,740,003,314,333,447,261,216,271,351,280,675,725,497,964,
010,374,237,841,475,964,397,128,213,900,008,161,058,396,919,357,855,841,674,
372,362,749,979,027,253,056,493,426,540,027,981,033,991,180,976,379,543,901,
255,974,835,901,988,355,183,002,677,006,871,006,307,720,308,976,987,318,333,
712,303,228,379,445,498,645,748,378,613,850,986,091,125,538,365,991,012,903,
866,999,524,543,384,960,435,881,077,371,311,698,144,308,588,694,989,758,027,
273,416,419,900,507,646,952,062,075,200,297,524,530,517,524,878,390,042,786,
268,632,487,631,574,750,469,770,774,995,700,567,243,431,000,632,870,482,092,
445,166,340,459,655,625,165,955,617,761,270,413,346,697,092,188,945,732,996,
590,043,837,674,814,758,129,330,313,296,942,669,118,221,206,067,452,542,505,
315,847,463,460,908,178,553,242,712,069,263,296,202,551,362,388,267,028,568,
759,305,322,591,342,918,438,899,900,665,459,644,553,662,030,403,483,604,123,
827,333,167,785,242,324,497,358,727,776,671,877,036,461,924,916,222,921,158,
397,186,017,211,411,847,826,165,915,306,795,698,118,228,595,360,961,120,920,
602,142,158,974,884,452,961,104,821,521,055,530,803,916,233,462,028,678,454,
530,831,309,229,584,647,449,946,711,278,376,123,831,696,856,170,736,922,852,
467,916,787,138,107,282,863,813,868,101,848,329,852,218,330,246,041,040,484,
199,415,073,655,566,835,014,295,669,201,660,819,249,327,058,440,382,700,958,
355,811,762,801,307,097,581,706,553,138,974,194,535,302,655,538,770,089,753,
121,772,466,528,429,012,620,407,662,814,700,426,695,708,393,890,938,632,087,
001,615,131,384,659,197,169,672,081,318,775,388,256,724,648,890,929,864,205,
684,931,809,025,247,072,582,955,143,512,205,822,993,733,632,799,453,081,158,
269,543,509,405,471,272,130,150,403,138,313,606,650,402,702,861,144,512,360,
624,573,644,773,610,903,852,808,483,359,028,496,187,885,279,458,985,354,122,
766,510,243,424,879,371,438,410,275,181,149,590,318,240,141,455,789,153,825,
781,374,771,415,509,875,300,012,444,041,354,970,974,825,538,194,348,613,222,
848,245,629,490,370,833,172,246,694,285,315,544,732,534,770,681,716,763,159,
843,305,488,523,764,923,154,602,679,533,076,360,968,193,720,703,009,973,293,
874,027,048,095,229,161,567,319,413,805,781,871,436,680,437,255,197,588,494,
777,590,218,196,363,855,769,293,161,769,827,270,275,606,926,070,378,679,955,
332,814,812,094,217,182,635,187,340,873,478,599,260,539,956,236,949,937,049,
021,212,838,795,841,165,285,541,633,763,376,379,352,452,677,253,278,385,144,
457,734,080,319,055,232,348,462,202,481,918,443,363,643,690,731,733,757,234,
768,921,721,547,531,391,900,508,059,668,573,232,724,393,364,438,483,598,806,
020,058,462,496,593,755,728,589,356,368,608,216,007,816,539,330,759,968,732,
815,335,828,282,816,686,808,399,675,014,529,535,282,215,302,553,052,727,780,
294,336,947,158,664,593,265,402,448,935,649,408,044,313,962,808,592,217,437,
673,364,746,029,671,999,373,700,466,801,623,718,960,353,285,373,591,315,241,
396,978,037,575,728,824,807,838,549,383,958,103,343,046,963,173,997,884,989,
843,907,531,313,516,540,984,689,917,103,932,956,923,598,957,050,818,147,025,
021,412,575,123,718,678,355,730,999,748,473,441,147,022,800,689,584,276,724,
696,702,481,379,103,618,474,965,449,424,376,089,504,722,826,742,906,559,715,
919,101,751,173,807,703,418,431,334,550,731,870,850,704,423,244,911,679,789,
198,424,182,644,817,047,111,882,285,194,709,701,235,082,795,643,648,755,135,
491,456,562,284,509,223,955,376,584,178,618,533,488,429,834,943,955,219,837,
450,085,129,510,404,500,680,277,048,193,722,492,075,493,233,061,958,894,595,
197,250,764,497,068,359,777,496,224,350,766,577,073,373,673,901,944,888,259,
208,030,583,358,344,463,332,282,851,691,399,847,529,929,337,446,417,626,339,
998,691,437,268,107,546,880,052,606,625,368,952,479,690,576,420,186,539,636,
052,907,881,668,826,663,889,161,647,489,910,746,197,107,547,724,001,280,971,
231,836,462,077,656,723,161,629,560,945,144,872,623,209,549,079,394,324,315,
945,794,519,487,561,081,052,076,788,756,799,664,717,811,949,242,499,619,056,
902,520,721,236,477,674,660,910,956,101,126,201,344,192,346,756,131,818,889,
661,803,451,719,223,530,040,867,934,428,197,920,504,662,785,362,052,912,150,
719,737,581,747,399,286,318,086,281,964,410,518,910,637,040,848,704,015,224,
598,425,259,868,556,072,611,864,593,777,501,866,524,869,871,458,878,670,842,
331,124,431,485,684,024,335,426,435,883,693,230,481,156,174,839,980,846,658,
989,620,335,170,668,241,566,260,500,730,694,804,257,320,901,882,790,951,341,
758,521,901,146,361,615,228,397,486,127,783,528,388,642,027,553,009,335,550,
451,636,074,332,374,129,754,134,055,780,612,320,087,280,929,312,392,274,486,
050,823,773,935,812,898,466,949,735,084,684,102,305,988,228,118,474,024,508,
924,979,522,111,435,439,558,314,846,025,888,000,436,381,195,627,615,000,649,
436,228,898,544,510,668,662,659,393,148,677,753,626,017,936,612,479,787,128,
846,356,936,329,364,258,969,072,816,598,643,463,296,569,794,737,465,959,487,
113,179,756,298,564,432,847,904,798,645,444,720,709,202,923,797,932,497,758,
598,372,795,243,236,987,729,722,593,152,092,990,485,774,094,457,543,483,686,
813,930,805,517,817,542,824,827,210,325,305,135,645,186,735,091,097,648,301,
309,478,082,634,881,999,229,135,459,710,179,237,013,185,964,090,894,429,442,
667,856,733,037,767,483,664,663,985,166,458,010,549,569,050,827,855,038,815,
533,797,268,667,148,417,435,888,313,516,050,180,390,575,449,044,258,243,816,
397,631,717,649,550,099,175,565,202,326,963,132,485,960,483,060,039,769,065,
228,057,549,680,237,592,946,043,000,691,388,142,807,596,360,990,207,803,168,
825,321,435,794,764,897,784,046,495,756,879,162,612,814,337,146,384,833,854,
845,715,714,401,599,171,283,260,441,840,437,193,207,804,079,904,367,129,034,
017,732,842,083,779,234,307,874,451,710,403,722,093,453,776,673,609,091,795,
706,850,894,667,001,957,065,450,404,330,006,200,715,614,177,772,199,523,893,
383,397,563,169,701,713,900,728,564,106,105,767,134,181,967,571,176,253,565,
378,583,820,441,542,725,665,208,258,592,736,799,218,574,985,276,061,632,097,
764,383,933,988,987,063,763,139,270,205,508,216,926,584,242,648,381,598,643,
687,205,402,511,094,469,002,996,939,809,020,602,780,228,892,980,129,605,348,
438,654,835,367,132,562,750,718,263,804,425,456,635,539,384,811,360,734,427,
013,448,698,611,868,666,285,807,843,924,257,727,463,785,264,381,900,793,058,
157,060,137,348,939,063,577,967,540,702,005,448,427,131,346,144,352,016,122,
241,195,155,928,660,757,202,296,431,759,134,504,730,934,811,739,649,092,175,
283,744,360,639,001,501,872,678,635,252,722,484,220,628,041,554,506,312,878,
842,197,173,715,542,776,240,654,339,107,906,305,794,772,275,316,073,144,589,
889,606,045,750,453,904,368,855,364,031,113,641,887,979,524,993,372,558,160,
287,123,822,739,199,546,882,708,129,196,111,020,353,795,058,271,539,584,369,
246,563,016,811,100,923,412,852,664,679,144,743,826,626,089,924,519,889,029,
348,074,067,507,662,633,146,239,743,787,450,528,274,071,320,095,787,389,181,
101,360,296,638,001,574,823,077,540,260,730,996,526,465,016,464,339,831,074,
360,717,724,614,803,734,353,802,585,151,209,949,447,342,398,411,021,387,859,
774,442,687,838,437,462,912,319,081,580,071,955,170,814,642,934,705,718,250,
428,898,541,701,958,447,640,175,281,294,204,601,820,736,498,052,771,108,019,
809,797,689,427,810,118,474,345,078,511,864,050,790,419,560,534,962,439,076,
662,212,205,976,494,183,342,066,240,077,108,725,610,384,026,801,627,631,780,
509,753,714,583,821,989,090,249,841,627,728,554,175,036,394,153,546,104,493,
362,483,715,269,185,295,310,894,153,428,322,145,844,885,953,613,693,421,093,
517,846,973,703,249,383,983,964,588,632,687,798,731,796,746,066,684,316,205,
991,510,918,608,890,172,152,049,486,815,266,190,833,477,662,490,366,157,506,
733,506,203,527,858,062,736,669,264,559,238,663,542,279,596,929,577,878,033,
479,131,980,903,816,119,445,963,036,866,977,265,479,688,876,769,819,207,436,
183,841,250,404,928,270,920,551,048,093,377,975,722,935,207,727,053,286,112,
339,834,841,643,730,715,577,784,976,928,451,747,549,590,308,747,041,206,812,
349,584,282,917,220,062,715,177,498,250,646,384,635,250,755,207,860,867,583,
071,978,055,449,345,227,532,827,634,112,705,845,409,255,111,782,974,023,778,
003,170,614,389,095,929,943,464,695,172,825,315,273,932,230,973,447,004,766,
196,425,218,739,177,363,680,821,225,482,273,166,118,930,199,590,558,450,826,
159,478,847,180,636,541,391,527,092,184,825,594,581,693,328,828,080,478,408,
044,549,521,005,523,069,655,798,081,977,126,803,145,707,950,580,860,470,179,
933,438,179,267,042,846,916,682,039,848,244,563,125,698,685,354,063,664,467,
247,452,220,814,284,295,604,517,660,301,564,459,780,292,564,193,140,225,514,
387,090,941,599,692,718,743,582,053,066,357,188,195,525,664,264,755,395,053,
427,834,203,588,488,639,344,671,712,150,190,176,448,555,294,143,773,182,551,
522,745,314,331,005,360,034,387,726,234,041,862,174,946,370,231,772,290,284,
210,192,436,464,179,241,524,345,962,926,493,416,124,825,951,209,383,282,349,
685,302,704,216,635,754,732,494,237,525,846,564,667,639,227,000,265,028,803,
831,703,138,782,290,350,716,066,292,833,384,722,011,038,906,801,432,456,220,
974,614,576,884,222,041,408,270,242,869,353,529,263,501,346,237,329,980,026,
238,806,572,464,165,938,981,837,104,596,541,691,905,590,903,400,338,852,435,
967,622,535,029,186,530,887,495,245,601,979,119,392,170,501,419,815,925,379,
246,159,683,800,677,758,895,165,519,348,717,485,141,615,831,435,038,618,977,
523,513,513,063,237,523,096,489,393,118,501,436,577,393,016,928,407,013,208,
789,177,443,390,694,101,657,453,543,204,167,734,177,228,070,567,684,734,610,
588,177,785,807,921,050,079,684,117,635,739,071,633,842,067,852,971,396,411,
618,361,188,432,040,142,886,223,933,152,755,378,643,497,887,806,872,195,157,
438,678,293,297,185,187,883,428,207,917,042,931,461,701,212,905,096,466,462,
525,153,606,692,284,231,957,688,839,895,537,705,378,454,452,296,799,018,843,
435,126,395,344,396,656,799,077,966,954,611,249,779,339,139,238,102,806,557,
308,870,009,615,400,508,043,249,963,669,152,243,583,587,003,612,892,082,476,
992,804,458,355,419,899,411,884,686,413,129,197,418,328,802,835,603,909,100,
693,973,667,884,421,194,293,277,804,373,100,789,568,829,431,930,895,984,375,
382,246,575,163,885,785,718,892,920,022,716,677,249,997,982,971,037,100,620,
768,513,504,332,005,143,735,049,284,404,868,527,308,096,675,609,977,722,134,
065,850,138,756,688,077,662,645,934,216,812,691,493,582,708,307,565,457,587,
841,542,490,530,225,044,932,874,113,361,382,384,531,397,645,710,468,736,732,
534,915,757,344,868,679,920,515,935,498,311,036,030,869,127,224,794,874,655,
301,023,985,514,654,842,398,508,063,676,315,921,498,539,604,272,086,819,536,
651,092,755,318,863,621,128,138,726,667,744,471,159,504,488,446,184,715,292,
735,794,572,808,743,445,276,845,014,114,002,401,511,238,669,952,509,243,142,
753,444,735,299,898,546,087,889,995,734,490,407,274,048,155,922,226,738,820,
030,069,558,791,566,540,967,193,307,547,329,973,015,014,792,612,016,018,619,
848,790,622,284,878,983,940,891,273,362,548,613,172,304,259,031,301,831,485,
485,735,629,786,504,931,643,877,591,712,551,081,783,023,220,414,630,692,489,
149,127,666,309,574,067,822,907,465,440,866,277,102,082,699,630,046,003,627,
962,726,583,437,268,828,292,023,119,880,634,267,428,669,477,741,967,156,058,
115,573,075,613,492,180,133,843,586,754,024,886,972,250,768,201,057,482,176,
625,649,188,432,931,705,395,220,997,561,506,230,147,115,135,108,543,792,251,
677,111,062,277,734,197,753,417,974,525,469,326,512,055,680,570,662,150,049,
373,553,303,030,456,429,249,775,299,041,966,351,044,793,379,848,509,274,012,
261,215,302,717,050,803,199,327,450,521,566,690,849,120,518,611,698,640,742,
574,829,529,018,238,247,963,096,999,658,965,690,782,551,370,184,177,840,868,
720,212,422,463,131,975,387,181,772,315,521,674,521,041,406,815,963,709,871,
294,742,699,667,771,789,933,028,072,732,470,694,087,858,657,964,555,591,422,
473,130,473,893,355,457,072,529,454,971,435,519,545,610,545,780,023,349,671,
280,828,180,462,728,932,844,394,969,921,073,607,800,460,367,619,148,702,599,
337,514,546,309,856,708,393,884,617,855,702,306,170,813,190,471,144,184,704,
453,367,797,920,419,282,226,884,721,295,351,347,842,713,048,114,529,256,361,
213,825,536,072,996,013,669,449,209,472,508,991,929,772,575,051,441,714,467,
652,706,645,848,445,287,597,670,810,093,057,269,901,178,820,732,364,085,746,
679,579,734,282,234,708,986,095,699,990,152,825,277,182,645,362,747,486,906,
062,131,902,596,107,997,738,169,771,657,709,606,535,670,545,295,338,678,745,
643,348,717,379,826,923,405,342,045,291,870,603,046,600,004,304,921,938,049,
177,925,055,885,542,626,624,505,761,801,704,598,046,556,377,071,204,298,296,
660,305,451,429,581,094,686,489,632,014,868,288,740,056,572,714,440,202,510,
157,678,518,235,965,815,042,478,397,127,994,080,477,673,171,735,545,110,889,
310,006,426,549,762,808,140,483,722,469,364,440,306,703,364,330,412,414,009,
465,191,625,115,398,601,688,605,716,602,155,106,210,043,146,328,018,762,340,
101,665,832,492,056,180,818,637,207,845,422,418,311,816,574,866,561,372,449,
588,761,584,885,564,880,846,431,369,280,748,880,659,697,942,012,888,684,618,
116,192,724,920,110,184,318,322,425,424,242,758,758,261,015,849,876,892,845,
331,632,401,250,511,577,531,481,298,194,384,189,718,841,203,024,764,354,512,
398,058,336,553,147,593,449,505,384,525,015,197,987,347,694,355,942,471,938,
536,882,266,195,022,792,052,157,447,578,140,214,018,943,856,575,587,003,154,
076,077,282,548,359,267,017,368,277,715,477,674,582,395,451,369,435,975,231,
452,433,550,594,934,827,711,840,688,351,879,546,429,895,213,205,364,496,649,
625,366,890,023,454,172,468,454,196,111,196,145,233,831,686,064,319,151,100,
443,653,473,601,257,190,115,309,218,145,496,771,512,142,950,795,315,642,792,
934,931,889,527,824,295,943,411,196,554,495,987,625,819,166,945,300,798,383,
929,728,706,373,923,869,597,838,421,253,188,658,504,734,370,003,444,942,338,
990,992,932,277,015,614,527,232,165,132,606,444,769,673,581,500,199,018,927,
140,152,592,787,320,803,115,258,162,224,871,207,356,029,183,346,236,924,048,
119,295,753,769,265,631,341,854,373,656,352,502,984,387,926,676,389,784,849,
923,613,098,184,663,862,622,760,739,158,846,401,187,647,371,499,710,610,063,
068,161,504,246,424,291,890,668,280,596,724,642,304,167,920,652,474,831,866,
776,280,391,227,863,529,083,919,409,721,014,853,376,715,514,389,680,583,374,
566,219,365,381,254,336,988,196,110,033,362,175,615,509,561,356,390,807,398,
440,674,847,379,211,364,980,277,120,952,948,685,384,509,367,881,018,073,678,
460,851,042,873,256,016,457,262,963,570,724,715,642,835,095,939,021,985,031,
552,915,031,022,510,518,296,404,417,611,641,626,323,842,532,551,802,022,086,
746,157,175,196,462,056,945,425,758,096,345,247,266,161,391,756,770,133,507,
095,361,595,502,904,480,877,977,495,781,746,090,311,739,427,585,916,026,815,
977,006,528,281,755,764,981,988,106,042,751,791,997,225,280,587,771,684,068,
806,565,025,048,410,167,159,481,410,853,907,920,307,135,199,118,711,635,872,
756,923,972,931,554,985,201,121,077,603,822,036,320,003,233,500,851,543,717,
015,100,156,724,643,610,975,084,034,385,635,709,133,106,829,966,637,519,282,
688,979,954,765,024,891,894,047,604,579,891,637,023,552,911,583,162,504,426,
272,608,869,387,645,145,864,468,670,140,179,477,209,919,677,901,272,792,547,
384,920,162,850,705,712,864,524,491,785,247,053,259,599,324,082,939,176,765,
027,550,270,235,277,036,329,094,845,606,982,594,277,288,395,091,158,403,367,
574,555,029,329,082,973,276,187,110,057,013,208,284,969,036,862,798,304,697,
645,815,803,243,840,797,304,991,571,558,651,845,350,995,269,709,105,173,562,
292,076,514,647,964,049,690,416,805,974,145,477,519,334,493,569,943,706,572,
630,385,394,503,326,506,228,927,401,355,191,358,366,125,064,098,916,090,143,
744,104,707,966,980,665,318,638,429,501,339,367,038,383,870,334,790,486,403,
761,020,782,312,069,923,312,150,284,310,945,726,180,904,780,329,838,769,709,
710,053,756,289,012,802,145,726,275,019,627,808,724,294,499,555,290,773,404,
154,264,834,527,506,605,690,734,726,099,641,888,287,946,373,822,105,518,941,
930,066,686,848,516,083,541,738,601,791,598,400,738,950,528,258,874,851,969,
524,708,937,991,077,785,054,082,778,075,005,588,435,716,987,721,455,540,720,
507,027,385,853,263,538,473,819,097,706,765,373,788,489,737,704,113,031,583,
814,209,200,908,443,818,682,738,840,671,277,459,966,492,564,187,006,807,221,
365,727,377,345,903,302,871,496,608,968,961,485,163,830,328,698,623,454,769,
896,779,803,070,816,510,383,399,098,589,951,894,172,411,607,434,591,226,125,
708,111,219,316,169,014,911,837,964,310,101,358,594,149,809,788,785,581,067,
312,016,435,379,326,086,086,715,788,171,998,892,951,872,970,926,134,857,337,
787,736,651,814,503,528,384,975,344,185,378,129,564,999,839,406,633,121,924,
084,040,721,401,817,273,449,264,297,206,437,976,618,000,259,340,062,559,689,
866,610,153,351,167,658,707,995,040,315,651,211,647,272,484,331,787,640,428,
175,599,507,150,374,094,471,066,726,115,241,862,499,105,972,596,352,706,249,
124,055,577,637,722,185,627,806,853,356,533,708,885,202,638,757,064,665,376,
504,841,357,328,697,676,325,851,339,252,720,061,782,391,338,542,788,871,271,
796,684,903,677,347,272,008,072,527,545,334,161,903,510,033,752,679,529,448,
554,666,748,136,196,039,335,076,019,754,729,182,766,536,411,441,138,133,484,
809,502,690,305,560,760,452,997,936,371,030,466,865,893,604,339,520,273,870,
924,647,566,400,864,014,789,223,940,801,851,324,840,598,952,332,524,688,825,
341,594,082,332,208,489,642,424,539,069,611,969,357,573,918,055,930,323,108,
175,541,605,285,315,911,862,953,883,104,874,868,439,640,418,862,579,672,310,
822,124,262,459,410,010,136,088,715,375,026,422,350,457,947,412,506,974,877,
424,717,722,263,037,954,067,281,760,041,876,512,167,445,898,568,817,670,372,
576,867,266,367,158,033,701,002,890,569,209,606,287,627,520,600,822,515,737,
922,932,390,606,205,370,081,398,754,352,454,484,484,679,159,306,093,206,963,
683,529,572,434,003,716,299,138,960,187,617,325,618,518,664,286,890,705,956,
682,744,569,081,190,962,039,940,642,494,969,399,321,397,021,437,736,676,388,
875,957,903,704,350,050,019,401,346,839,409,120,245,394,789,069,817,150,353,
211,349,031,803,952,930,629,790,916,591,084,706,846,806,219,863,417,902,139,
552,191,102,024,138,443,588,091,423,352,298,866,343,192,526,270,596,381,293,
183,425,438,663,934,986,464,969,941,119,460,530,664,391,117,028,922,467,189,
869,939,787,602,885,829,369,926,934,715,350,627,339,258,167,651,172,051,516,
683,351,505,007,481,284,250,057,622,485,805,968,722,546,822,530,694,007,285,
344,883,920,061,176,389,819,429,980,121,394,428,782,972,248,148,468,864,423,
138,223,383,708,537,382,738,856,277,322,635,029,026,044,545,589,885,025,859,
506,930,046,402,563,732,716,453,972,315,989,321,682,565,158,215,397,804,069,
128,977,469,755,616,456,782,972,342,520,132,378,863,015,037,685,885,597,768,
574,309,635,621,074,124,420,670,593,579,506,491,660,070,116,303,422,546,759,
012,921,037,238,809,300,854,942,271,966,903,173,822,920,805,816,093,838,695,
928,027,877,340,408,242,146,343,200,973,103,165,380,591,119,486,722,177,016,
239,390,289,155,138,041,253,198,056,092,774,784,459,560,218,580,844,764,646,
149,991,155,014,852,193,326,491,624,537,843,016,115,155,438,009,751,562,293,
793,368,749,166,632,532,254,064,510,171,926,728,781,768,524,722,778,168,435,
802,126,598,276,343,168,352,394,524,728,129,338,417,564,550,710,473,149,882,
703,546,430,757,542,306,633,453,603,823,538,596,088,086,910,201,410,061,868,
023,976,504,256,299,113,680,721,349,738,395,938,362,942,419,940,879,785,632,
043,821,513,021,236,202,337,771,057,265,439,599,898,392,121,547,959,071,449,
239,705,016,788,673,727,273,996,201,474,323,403,354,328,106,657,293,046,321,
281,137,195,300,191,435,710,567,191,586,071,363,681,368,193,210,621,294,311,
872,990,374,804,326,441,991,641,441,610,816,044,530,642,026,447,375,820,997,
083,336,221,153,477,931,949,011,826,187,318,950,478,595,113,291,427,242,968,
062,781,891,062,960,726,057,696,206,533,919,537,545,069,018,488,275,877,680,
353,204,252,743,631,357,162,628,142,561,055,295,043,991,957,338,481,030,389,
851,915,951,655,287,219,982,422,446,947,141,162,880,505,273,492,266,531,060,
781,214,820,187,136,188,199,699,051,373,794,011,477,394,987,584,203,564,530,
083,697,260,287,846,123,904,308,493,112,962,590,375,987,817,002,419,931,504,
424,596,907,683,922,895,169,275,852,988,212,117,888,226,636,784,867,134,420,
343,858,045,924,693,267,936,943,895,510,598,823,464,049,478,336,931,494,886,
449,451,622,080,186,295,243,056,648,060,042,033,468,401,909,514,863,021,331,
768,834,438,381,594,272,646,374,618,391,929,308,619,304,401,042,609,612,097,
758,178,807,816,754,073,635,385,888,255,651,826,598,867,667,714,241,173,711,
924,773,409,066,575,718,650,906,762,270,115,650,809,226,085,388,909,926,487,
816,820,612,607,129,811,386,890,430,766,098,884,882,800,211,496,678,622,017,
456,125,692,421,899,850,107,599,985,985,029,677,556,242,052,983,015,761,360,
398,193,222,184,445,543,723,877,707,906,546,211,974,412,340,516,879,047,316,
501,324,012,661,790,726,605,894,615,726,132,193,625,472,675,999,150,765,805,
072,086,425,046,464,089,184,135,483,087,473,363,005,950,423,156,395,183,418,
387,469,455,145,950,107,638,064,957,644,175,555,759,548,441,125,611,015,788,
839,852,992,484,529,334,986,154,293,160,423,372,870,545,364,608,387,273,862,
265,493,680,788,836,849,892,739,447,100,047,804,941,479,956,743,570,481,329,
482,926,976,374,409,790,305,924,350,103,002,468,022,668,535,079,254,534,520,
333,930,854,507,426,425,197,527,715,159,074,216,148,503,121,421,783,281,311,
013,889,683,538,390,249,990,990,047,836,255,294,832,950,556,357,984,608,578,
539,729,051,813,567,632,999,718,901,706,849,229,878,958,367,020,856,487,254,
792,655,416,613,724,854,943,912,358,407,661,832,995,298,811,480,845,982,043,
984,737,426,173,844,174,644,607,710,180,391,643,425,656,650,185,863,936,489,
196,118,091,079,722,925,173,720,151,097,375,854,028,603,349,605,206,775,408,
334,933,317,460,693,726,948,476,109,903,139,803,202,228,295,721,165,371,539,
812,794,271,945,486,394,943,457,006,568,687,060,642,013,274,691,878,044,404,
974,822,476,526,905,368,423,213,066,008,530,134,419,648,148,807,740,296,131,
232,269,160,193,863,537,569,032,843,034,617,913,932,855,046,184,554,187,814,
825,460,638,811,284,970,535,973,934,791,899,752,070,781,082,789,233,184,359,
562,682,465,107,251,121,085,559,827,026,034,173,363,640,051,041,593,777,714,
630,284,659,482,532,834,988,589,573,320,739,500,360,945,556,183,315,780,460,
058,943,494,989,811,978,578,273,182,151,054,885,761,431,367,558,797,751,382,
298,671,781,404,611,544,508,261,197,295,827,442,506,807,387,349,517,451,938,
453,912,002,686,665,056,873,150,292,463,257,399,968,659,188,163,185,797,512,
152,227,721,428,025,490,162,325,585,804,913,280,984,513,436,073,983,719,506,
713,395,336,088,945,501,438,192,941,292,645,144,358,260,264,363,446,891,403,
892,277,201,793,035,250,166,151,856,152,029,749,957,117,725,231,385,279,947,
652,318,010,600,159,799,819,890,892,653,052,115,413,882,806,870,144,598,615,
149,882,247,077,222,904,587,967,837,787,078,673,170,422,755,037,101,752,127,
446,130,686,712,872,495,822,828,956,028,950,552,413,980,261,826,933,233,774,
676,518,448,512,237,832,817,093,994,462,182,146,524,246,429,534,161,013,443,
329,887,585,648,472,717,092,250,470,506,954,122,488,979,267,560,938,857,073,
628,001,230,572,725,974,156,584,462,286,919,399,234,261,801,982,598,188,777,
329,152,268,255,417,012,004,854,091,382,246,422,829,254,243,686,768,316,645,
996,923,830,881,322,142,081,471,603,018,330,894,006,268,126,830,608,684,189,
826,292,351,387,743,814,045,316,542,709,842,580,398,966,117,865,574,161,509,
965,997,877,996,408,872,997,586,127,020,855,426,734,207,440,671,409,221,471,
631,607,605,526,242,003,203,919,978,881,502,110,009,518,266,069,838,091,096,
015,401,041,169,178,116,990,465,380,078,453,852,811,265,613,037,521,743,895,
700,580,501,744,205,198,024,852,973,247,756,626,918,531,814,191,724,596,968,
482,177,241,156,254,267,082,629,808,320,847,175,485,470,275,341,195,304,000,
796,769,058,859,186,493,963,322,821,875,725,487,019,160,811,433,994,064,117,
916,248,544,684,794,627,868,827,433,770,273,403,072,048,167,193,253,347,600,
992,256,496,816,764,741,893,307,479,869,414,137,926,257,137,338,623,998,085,
464,918,844,334,830,529,253,808,791,596,665,587,829,748,876,996,022,218,818,
595,588,015,290,640,776,295,269,929,382,270,031,089,005,096,948,692,969,424,
010,375,260,842,698,023,226,906,458,322,374,650,452,175,601,419,629,607,040,
993,776,659,338,392,197,189,897,428,091,492,395,494,317,919,345,902,838,376,
403,540,736,143,240,105,099,553,085,067,316,227,407,723,242,186,054,315,650,
736,745,184,132,443,408,397,908,514,685,213,569,703,209,428,738,766,463,365,
299,338,720,776,919,381,926,958,888,227,856,377,064,893,536,865,847,788,360,
245,646,943,108,451,852,596,927,662,617,529,316,862,348,866,925,091,082,216,
091,794,258,265,785,080,077,291,430,077,773,466,251,434,436,573,063,417,986,
078,278,815,246,176,282,837,168,873,520,388,706,483,070,913,921,886,041,412,
598,853,609,670,842,562,517,062,140,610,635,250,782,352,441,450,061,790,410,
494,743,496,549,973,376,299,824,950,670,659,946,972,025,993,557,386,684,740,
125,861,560,736,559,187,998,290,380,701,264,697,409,024,243,863,250,708,258,
793,284,763,549,741,176,904,580,612,150,086,468,594,636,272,132,746,068,394,
642,839,498,747,936,111,095,314,570,275,361,400,199,909,077,417,272,045,356,
913,532,113,425,320,342,925,834,172,075,132,554,659,659,973,329,812,644,715,
168,345,686,496,276,407,752,924,044,022,065,311,134,056,456,355,685,745,742,
602,369,634,900,263,750,848,177,538,205,512,451,823,752,698,303,150,188,376,
326,231,079,946,570,529,748,501,776,897,719,598,939,891,844,186,753,845,244,
284,234,885,133,865,022,226,327,883,820,248,483,120,168,554,054,893,312,053,
385,967,594,979,123,537,750,676,137,503,740,620,615,875,284,279,615,269,371,
619,024,665,747,078,115,761,054,180,182,407,517,530,149,476,402,307,717,196,
617,555,576,172,443,431,593,266,887,503,080,290,248,998,137,393,171,374,721,
409,693,867,493,413,962,251,677,637,747,619,486,634,865,166,235,252,288,704,
163,255,751,423,818,156,107,920,867,830,189,648,614,318,256,464,713,730,252,
365,680,766,267,495,546,499,449,622,227,965,668,605,036,019,107,756,750,583,
687,187,146,308,347,171,619,622,698,464,901,455,497,086,315,715,227,744,854,
307,820,814,878,431,099,321,975,970,641,495,250,464,737,724,749,335,702,891,
537,880,060,408,283,349,876,872,067,632,262,874,785,047,211,792,969,303,264,
059,739,091,198,094,708,514,787,369,565,003,721,676,973,322,639,440,517,538,
942,344,505,611,082,608,724,698,772,262,838,893,493,439,490,653,757,873,669,
496,347,375,146,650,403,552,871,177,591,608,952,260,055,646,267,345,278,886,
336,672,554,093,401,314,814,830,893,913,600,722,808,201,558,494,928,969,410,
175,216,231,675,032,448,223,967,045,326,062,794,407,050,669,885,224,269,170,
398,206,759,259,711,599,996,045,893,428,016,330,548,683,641,162,196,632,092,
627,483,100,389,885,888,486,409,614,726,714,763,492,728,306,436,019,168,430,
499,002,110,030,071,553,228,283,021,182,203,395,612,496,638,168,180,987,505,
026,496,292,211,597,149,614,127,526,418,787,665,888,828,265,099,985,326,494,
994,292,467,252,099,832,532,742,110,431,747,906,637,549,664,894,804,701,759,
321,884,317,429,959,926,922,143,369,316,583,863,948,376,581,808,293,136,184,
026,063,828,016,374,762,639,997,730,763,931,840,978,658,335,908,130,545,956,
553,106,413,853,310,513,919,162,146,893,886,251,258,228,128,443,347,336,772,
094,933,880,637,579,164,720,202,202,446,375,328,136,601,227,893,003,951,204,
212,563,191,422,852,014,329,374,928,319,408,081,342,322,125,858,944,479,003,
003,741,876,111,636,264,045,093,070,605,693,551,214,101,900,808,273,981,104,
537,127,700,231,523,443,691,593,011,662,721,705,154,187,730,988,978,788,270,
848,431,142,700,570,380,858,414,193,131,830,872,255,710,899,821,698,556,345,
162,046,847,525,585,357,591,563,354,398,742,408,364,553,755,281,746,756,981,
656,483,564,055,652,656,918,505,970,004,756,068,431,799,759,037,021,668,795,
838,252,671,254,823,686,998,820,487,773,676,703,944,433,541,922,434,613,120,
248,136,361,524,763,803,421,685,281,493,228,061,206,306,765,743,130,161,876,
016,657,105,024,102,074,036,601,917,324,291,170,564,129,180,987,029,031,902,
511,002,551,933,789,064,526,891,489,919,437,427,294,429,072,632,775,335,934,
264,769,889,803,026,202,804,359,669,218,927,869,463,810,890,180,079,751,399,
930,195,291,826,643,932,729,409,411,308,531,569,847,871,597,369,114,707,483,
704,832,766,162,704,532,508,022,154,509,941,561,158,393,217,469,566,472,145,
623,458,313,265,976,272,399,083,804,517,731,424,563,643,299,738,881,461,185,
912,155,581,669,776,050,404,354,984,275,355,466,083,703,994,077,009,131,048,
661,812,716,532,306,470,727,482,942,203,906,204,391,463,284,099,915,267,517,
591,367,901,035,676,002,642,530,289,316,132,993,472,234,987,967,840,089,154,
869,410,148,690,673,074,436,369,252,733,332,097,118,493,531,435,837,759,957,
615,492,506,225,307,662,341,186,741,673,227,357,751,255,055,139,974,373,893,
108,560,568,156,965,289,264,198,995,054,190,248,623,245,962,497,323,653,174,
201,790,151,978,951,725,594,125,659,049,973,464,669,696,946,063,687,231,661,
931,099,597,680,321,221,217,682,840,059,034,015,217,200,858,293,103,974,776,
845,153,747,155,019,610,371,681,643,862,905,190,009,201,797,441,404,760,331,
815,825,429,147,868,478,618,095,754,762,333,880,842,516,135,417,342,971,757,
395,158,464,321,570,563,920,500,673,182,322,130,658,847,119,078,093,095,437,
300,200,693,460,179,402,445,831,349,820,165,621,693,827,042,924,384,602,702,
015,410,693,994,569,186,382,194,850,029,521,853,013,689,519,455,972,218,083,
045,611,799,075,523,579,944,183,730,646,210,068,749,980,664,446,578,352,114,
856,825,860,731,730,010,668,639,517,490,298,090,024,762,148,275,171,320,954,
568,447,581,771,630,359,617,667,285,807,280,186,910,464,486,471,862,922,936,
973,333,419,136,122,392,714,278,697,866,668,612,111,253,199,515,120,032,530,
020,773,493,646,382,578,088,938,531,932,561,304,348,158,385,041,738,854,839,
154,362,324,327,280,583,223,060,747,338,945,770,623,648,646,061,533,304,843,
975,317,084,865,088,273,813,209,349,149,620,151,369,113,309,946,503,055,530,
435,601,268,845,906,128,176,691,635,837,674,412,547,257,699,328,884,441,859,
910,803,955,767,766,154,595,295,561,761,016,904,447,478,058,116,790,835,732,
789,000,505,856,204,421,777,044,958,198,808,575,331,114,339,877,196,785,012,
329,682,745,537,149,304,778,727,474,605,833,564,150,364,202,630,746,011,800,
193,651,780,790,885,805,541,567,790,911,902,811,639,010,948,351,968,517,661,
776,102,684,879,023,532,528,871,243,457,545,052,403,531,103,561,884,902,503,
101,372,377,145,848,862,244,094,204,468,243,371,964,618,785,637,875,292,908,
287,556,645,223,590,866,556,775,936,301,429,790,013,175,153,387,608,662,247,
518,806,918,345,331,623,705,332,744,461,823,375,894,584,014,177,939,723,593,
322,788,716,858,389,560,282,582,382,673,275,450,637,344,366,902,883,418,440,
735,603,957,508,741,962,288,803,062,711,647,570,603,476,903,551,570,757,879,
290,005,887,700,262,233,450,109,149,174,926,687,043,889,646,476,976,792,806,
521,526,823,932,857,410,368,233,664,193,199,976,037,619,317,336,839,313,102,
411,055,145,877,075,796,399,480,096,428,134,882,372,445,222,755,165,776,250,
375,672,456,563,283,964,332,647,467,769,932,219,868,324,241,484,956,538,586,
679,750,270,728,193,239,857,100,016,424,618,238,409,408,516,367,379,489,354,
172,993,367,047,787,918,767,587,128,295,730,672,056,904,116,332,276,006,145,
013,629,187,330,843,955,555,596,135,416,667,414,369,524,781,564,178,668,684,
318,547,578,793,676,496,395,607,824,775,246,989,853,620,249,857,765,090,029,
600,047,226,758,261,454,756,473,221,285,217,950,994,591,001,485,360,688,650,
423,563,956,059,091,291,377,850,549,431,163,565,371,060,401,545,216,922,441,
443,938,907,147,809,587,192,438,814,759,110,270,416,276,641,093,402,358,602,
457,927,969,845,746,069,866,310,147,742,737,661,316,335,788,133,593,139,571,
921,680,826,400,976,219,903,862,869,503,334,877,352,120,148,381,845,262,210,
998,285,500,436,622,142,674,987,728,603,855,896,449,471,641,385,343,010,579,
510,288,125,554,828,370,478,388,467,160,286,878,455,354,835,882,489,247,663,
304,114,210,584,125,422,420,947,346,896,958,440,944,865,400,749,692,396,965,
077,258,080,641,910,007,930,379,772,040,685,001,699,701,035,854,198,299,672,
049,444,283,080,097,087,555,351,865,488,483,986,156,275,213,146,205,437,356,
637,011,914,019,668,052,703,387,293,661,376,125,932,111,236,322,654,351,783,
731,637,180,573,799,365,405,382,870,811,354,397,440,704,853,606,029,212,646,
232,884,148,123,336,819,744,173,601,129,400,846,098,654,301,045,499,298,006,
792,829,398,218,270,048,652,872,078,693,049,055,149,060,588,879,224,125,119,
164,421,465,340,882,815,347,906,679,534,491,268,123,894,567,050,556,034,388,
868,156,780,560,548,522,175,890,770,934,711,111,994,153,784,995,398,217,726,
225,375,931,629,171,943,794,781,930,455,615,532,128,662,577,530,852,783,268,
878,125,725,747,540,350,183,531,418,833,311,907,073,404,208,554,560,917,533,
568,702,858,107,943,858,248,203,718,758,374,121,542,421,183,856,950,139,012,
950,108,592,079,547,406,597,467,959,926,822,711,699,562,849,723,539,808,515,
784,444,242,447,787,157,599,642,649,621,616,054,295,751,492,646,275,076,794,
330,124,837,723,999,669,124,325,718,720,497,227,277,584,604,475,538,088,182,
256,071,472,302,169,283,493,865,416,651,057,887,490,670,032,290,249,612,572,
624,586,707,548,676,754,539,882,034,517,571,126,638,604,498,138,349,619,027,
027,551,893,189,878,606,621,051,225,641,343,607,428,280,610,823,525,099,872,
053,209,450,209,309,294,221,258,288,546,078,054,588,472,360,347,822,405,415,
768,077,021,173,979,341,314,286,470,926,167,858,382,376,402,316,053,130,002,
841,662,293,703,099,715,062,386,423,439,799,002,903,788,863,012,824,049,999,
789,153,570,820,493,331,919,910,661,908,090,461,225,333,460,624,846,941,693,
357,727,909,464,892,454,952,373,046,882,933,280,842,412,966,925,791,724,943,
563,393,091,839,303,563,374,048,078,029,033,424,429,848,067,499,538,887,939,
166,368,226,319,020,806,248,283,789,047,413,527,424,393,842,751,780,462,058,
739,639,075,155,736,461,260,615,658,538,609,110,717,976,510,668,225,650,707,
516,058,091,405,022,771,778,331,679,862,686,719,293,689,999,869,137,952,157,
901,165,248,459,080,827,638,754,692,341,572,633,523,361,056,106,057,721,846,
186,848,376,952,707,482,438,863,308,481,709,965,815,221,299,918,910,958,223,
064,371,472,575,569,121,979,297,025,200,414,161,297,577,467,890,378,080,305,
149,104,130,407,817,274,168,124,877,484,217,321,862,698,022,072,877,723,000,
522,216,009,199,333,615,482,984,380,597,032,030,426,164,675,682,572,341,420,
999,647,911,474,036,074,706,634,665,657,125,797,090,890,229,448,934,706,788,
968,631,316,941,978,407,134,363,705,192,462,128,130,410,078,259,521,682,579,
554,756,698,900,425,543,517,130,087,683,560,509,764,775,523,401,113,845,933,
291,233,807,105,969,889,772,916,855,886,829,265,883,134,277,123,348,074,959,
063,538,716,522,118,619,884,070,196,058,664,244,776,725,015,267,441,065,623,
101,379,777,253,158,047,288,701,534,898,721,276,324,177,613,987,241,489,403,
867,875,260,942,549,541,681,175,763,829,623,162,345,694,864,540,142,744,797,
253,558,221,492,132,162,467,660,193,687,506,264,577,577,443,450,880,596,291,
173,360,065,516,747,906,565,064,302,220,019,832,560,064,050,269,534,313,764,
833,024,902,190,803,945,278,546,883,016,873,210,184,484,682,919,042,511,286,
542,573,168,132,566,642,551,136,533,489,719,439,784,962,313,609,163,280,434,
066,334,248,696,681,083,391,752,843,059,032,417,824,471,807,440,273,896,514,
884,658,950,706,662,920,679,255,566,618,667,821,839,549,052,064,308,389,107,
865,815,202,333,186,763,042,891,824,330,808,122,064,849,074,362,598,724,166,
016,681,697,650,771,028,676,356,801,342,857,712,599,296,087,491,194,398,721,
027,170,803,730,418,498,448,393,058,144,754,795,544,209,713,249,300,219,158,
337,601,424,872,475,835,486,835,879,381,864,566,211,462,547,901,023,794,021,
446,221,524,347,491,794,940,401,126,658,720,179,194,617,145,685,537,929,636,
000,950,473,348,624,273,832,752,300,416,673,599,895,211,878,575,910,360,761,
991,571,260,898,967,892,136,471,910,925,208,800,595,370,050,026,978,942,188,
488,979,014,081,558,077,747,609,643,934,937,187,033,825,300,171,223,171,714,
476,308,849,361,438,736,676,840,416,469,124,745,744,647,893,359,609,438,912,
203,442,958,948,879,686,220,601,536,758,912,069,708,501,749,040,619,638,303,
921,511,680,585,570,814,071,083,570,195,717,790,935,024,766,782,756,759,978,
933,652,109,859,452,409,627,465,223,108,973,376,935,826,721,415,979,390,817,
481,742,467,908,228,929,327,698,780,834,418,992,655,183,919,229,041,994,063,
398,594,628,636,399,232,905,409,097,886,948,616,177,101,324,036,081,367,145,
276,007,565,848,488,448,118,701,539,932,676,526,958,369,509,416,070,230,730,
133,594,145,323,208,940,788,584,450,084,669,499,791,599,433,103,909,254,830,
087,401,370,297,314,031,402,333,858,246,756,141,838,764,124,950,586,400,006,
906,085,445,439,831,996,183,411,531,321,732,223,001,967,983,289,094,012,197,
058,946,804,620,474,140,536,099,269,946,557,452,406,021,950,149,762,923,657,
508,634,536,052,586,062,005,885,918,459,836,048,387,202,680,363,557,937,461,
889,425,657,629,016,495,114,918,605,962,325,481,266,811,085,354,596,676,372,
509,949,864,816,678,239,521,856,839,810,416,654,088,480,534,228,277,962,320,
033,207,337,428,831,821,159,503,794,994,051,068,644,560,913,637,725,464,032,
219,691,049,712,008,659,815,048,292,968,133,542,254,661,974,752,677,581,133,
161,508,579,776,540,849,440,589,513,844,980,864,651,588,569,648,234,012,441,
464,145,751,289,783,787,523,928,510,610,991,499,802,373,800,314,723,053,973,
490,173,868,503,049,977,180,817,314,162,585,952,138,946,910,704,854,518,881,
760,354,521,101,070,959,955,060,144,085,375,209,284,726,914,975,322,189,604,
174,715,958,686,095,063,255,297,264,387,568,168,395,895,932,189,894,396,459,
815,605,037,693,584,892,924,483,362,865,466,830,425,707,901,743,650,413,052,
867,899,379,713,450,025,162,853,747,958,311,919,994,774,541,122,207,481,760,
636,167,858,336,643,609,985,179,718,323,360,865,287,276,548,994,915,046,906,
563,679,822,289,582,467,726,803,806,369,138,725,122,840,099,856,647,701,177,
373,673,978,138,523,183,174,136,870,378,075,357,517,183,800,864,949,541,040,
997,377,102,736,789,118,023,740,601,692,056,538,554,325,711,684,070,711,098,
651,632,928,023,257,422,806,761,680,075,144,478,988,673,485,533,488,245,106,
211,386,304,485,900,578,029,541,182,748,133,882,842,278,050,771,986,101,676,
998,944,320,906,670,208,033,127,245,688,780,475,923,793,512,801,974,882,336,
286,742,391,857,125,781,602,103,134,341,945,789,680,180,544,015,126,141,178,
482,412,821,390,688,474,675,429,744,831,864,951,857,149,514,409,690,260,347,
376,304,650,367,500,025,639,661,153,107,671,379,360,859,158,580,774,973,017,
129,437,046,735,952,721,130,471,189,857,637,086,145,884,392,331,253,199,372,
407,940,325,856,485,804,841,146,443,674,666,622,431,097,841,332,775,133,512,
419,758,250,488,293,490,538,409,126,721,995,399,998,145,485,334,796,164,823,
435,356,615,969,906,884,680,868,676,350,537,324,436,075,577,063,251,977,135,
189,422,139,267,071,552,528,516,319,622,044,714,807,615,669,948,529,216,944,
857,585,788,488,314,952,524,623,239,330,375,677,058,493,807,283,662,088,787,
521,454,379,504,472,124,402,691,219,456,560,810,060,117,085,542,444,122,431,
790,956,347,687,032,609,610,858,078,927,952,906,854,088,580,738,914,131,463,
764,710,539,679,410,291,146,649,387,904,523,804,000,147,254,827,723,685,830,
567,568,033,650,395,366,805,765,770,201,709,524,637,561,276,730,078,006,610,
469,516,536,998,070,624,574,059,971,900,938,023,876,847,126,714,028,857,419,
767,344,213,074,344,648,463,077,206,740,663,310,586,610,307,659,393,643,413,
170,620,209,637,870,726,790,508,945,925,535,643,926,874,581,915,808,552,101,
446,918,255,577,229,237,802,726,977,827,968,346,054,631,195,619,240,330,642,
336,290,612,600,708,562,329,718,924,122,723,081,201,593,451,068,163,455,400,
118,225,403,507,220,299,431,096,557,039,455,756,479,161,602,073,949,744,100,
305,801,955,312,864,196,684,575,716,062,411,025,216,470,651,533,951,922,766,
972,268,374,144,703,850,112,022,535,986,386,338,447,425,850,556,537,502,740,
655,686,746,912,471,049,777,410,646,723,411,591,316,879,396,130,863,528,827,
938,024,874,337,608,802,983,016,053,919,553,538,451,641,816,987,226,374,366,
649,644,541,282,642,975,411,817,310,755,426,515,792,370,685,125,831,092,255,
403,735,697,900,470,759,540,181,740,986,927,091,386,298,498,872,032,133,137,
606,613,121,538,269,895,083,001,877,014,252,709,269,377,716,908,923,619,327,
956,120,411,241,581,100,379,091,141,813,173,193,914,261,085,862,885,863,718,
987,993,307,385,618,937,328,342,044,258,475,121,804,961,274,590,592,383,417,
009,377,919,052,604,369,260,994,204,803,494,568,021,639,118,762,749,064,218,
387,950,294,044,848,251,112,781,667,228,216,449,229,347,036,869,571,145,963,
368,802,813,977,396,847,941,932,136,257,000,278,390,735,452,891,662,036,193,
322,957,603,396,257,383,706,833,647,817,681,195,602,095,859,936,601,117,924,
108,622,000,172,155,962,903,519,876,316,482,356,769,376,214,571,503,207,868,
033,983,285,901,717,508,288,795,604,976,503,656,168,025,738,178,227,846,406,
853,249,527,225,991,566,324,788,743,596,072,789,540,030,170,798,116,582,392,
234,211,152,800,721,820,173,268,271,306,587,666,266,937,827,375,728,979,038,
037,705,319,327,924,781,051,930,194,861,679,899,781,989,873,719,019,121,735,
515,584,992,138,565,362,516,344,820,512,633,782,652,010,855,920,584,817,719,
366,426,753,348,112,665,215,616,867,139,655,523,428,759,580,630,342,217,943,
194,355,498,178,705,548,160,252,975,696,863,652,946,966,796,397,541,438,746,
810,304,596,568,560,149,381,429,741,761,676,836,544,474,245,591,763,690,347,
850,142,701,585,400,764,259,012,578,917,832,982,214,584,108,088,363,059,132,
182,283,225,556,127,663,448,680,666,853,519,099,494,306,097,807,834,552,149,
105,502,904,273,854,652,774,175,464,584,996,157,785,934,352,541,660,927,541,
032,490,590,638,463,771,856,723,679,303,917,440,515,379,570,749,874,499,725,
314,946,419,343,215,232,513,181,582,249,711,681,274,257,736,520,106,887,904,
433,018,703,125,321,491,588,305,596,122,568,162,027,937,518,923,089,584,646,
209,442,120,210,519,016,954,866,072,172,672,862,806,429,294,568,165,296,268,
749,299,000,133,518,715,102,564,815,980,316,551,638,678,311,134,515,308,026,
119,071,995,460,148,095,271,386,569,823,020,232,865,339,935,196,957,297,264,
998,311,326,680,616,200,813,923,201,797,696,408,785,542,416,929,432,176,750,
693,799,862,178,632,282,824,443,181,070,399,214,027,264,091,865,055,278,455,
886,261,592,876,858,779,110,086,356,882,209,342,177,904,535,999,067,897,472,
313,163,055,480,589,834,577,900,622,279,515,833,862,098,981,850,351,213,674,
464,137,797,231,881,052,782,649,462,252,991,925,094,098,300,134,155,924,446,
416,005,115,681,623,094,305,532,534,487,866,829,889,665,810,392,715,011,926,
506,894,253,304,134,386,662,739,040,544,333,131,581,658,857,420,751,786,763,
054,193,753,165,973,637,220,744,493,203,991,623,398,224,586,878,704,367,521,
114,488,281,731,616,820,309,188,590,479,152,141,307,397,604,368,152,482,363,
262,687,754,124,696,980,365,510,523,327,544,484,519,033,935,455,871,652,036,
871,528,503,536,827,691,997,304,203,268,594,378,443,109,710,803,818,936,646,
827,469,298,086,977,038,427,421,975,565,841,902,067,871,754,180,480,569,652,
535,751,223,832,073,238,743,842,686,727,462,718,302,113,115,271,291,075,295,
674,423,652,905,594,707,611,120,768,769,680,345,989,819,145,733,984,604,416,
363,457,021,515,322,803,721,597,867,625,245,170,459,398,402,304,837,386,963,
933,780,448,036,852,463,270,644,229,211,186,666,569,145,207,456,801,600,037,
042,189,143,559,986,732,638,545,777,907,557,912,089,866,282,116,846,452,356,
983,235,764,463,833,924,014,797,578,111,665,058,235,773,797,392,782,105,170,
384,736,298,035,253,101,951,258,821,556,152,922,835,599,347,509,935,658,914,
659,101,084,993,550,382,192,258,422,664,303,943,882,220,816,814,508,308,050,
394,197,817,883,954,382,543,770,623,637,076,308,340,460,944,956,779,103,984,
389,640,987,105,301,038,775,829,476,140,705,017,774,428,616,435,949,510,662,
279,062,642,039,183,785,801,212,261,020,270,087,405,207,638,555,919,337,739,
410,937,342,949,096,328,196,288,175,715,297,056,650,407,326,925,362,602,351,
073,912,064,914,632,290,218,392,972,817,837,081,860,193,169,441,916,454,182,
362,966,995,961,966,403,882,439,483,248,626,106,688,220,915,625,222,186,917,
253,922,416,686,578,005,324,585,730,441,268,263,674,484,413,477,901,178,763,
445,781,111,025,862,521,364,087,730,587,790,287,330,176,651,612,405,638,728,
034,263,596,427,324,306,976,725,050,829,551,963,475,551,491,343,759,250,279,
233,866,957,195,460,361,982,747,586,639,909,296,244,315,117,762,042,266,642,
097,938,470,431,866,040,917,848,281,689,456,811,100,036,791,849,524,129,804,
070,239,578,219,622,428,945,425,778,894,679,278,828,464,447,169,349,655,825,
179,199,125,176,613,979,530,699,453,146,708,459,001,621,851,446,835,072,557,
633,450,015,093,073,684,903,691,773,734,420,137,784,823,589,957,625,409,150,
725,648,734,688,482,852,883,733,545,068,331,239,560,231,889,488,571,055,442,
059,318,981,858,220,815,976,029,601,459,968,872,225,250,007,527,405,628,049,
081,266,785,718,762,498,723,270,483,720,505,686,805,511,000,567,670,570,590,
242,409,680,642,593,901,112,991,387,639,195,546,728,207,028,703,464,517,013,
322,045,721,694,612,172,601,361,307,979,054,829,325,450,602,625,553,914,115,
821,061,854,895,324,154,365,978,305,371,013,278,135,180,315,219,433,028,338,
081,269,819,036,277,109,402,132,573,450,758,908,893,061,780,126,085,050,931,
470,282,380,127,581,504,257,795,619,080,416,171,010,769,071,775,969,768,344,
002,907,532,962,821,356,143,855,552,559,967,300,047,499,944,510,279,149,739,
183,198,008,688,287,195,012,922,824,908,312,175,301,753,071,916,662,022,483,
912,663,889,541,061,497,938,332,991,874,044,251,591,383,102,676,466,634,970,
494,797,617,273,726,336,767,282,508,376,710,923,761,018,458,312,873,754,225,
850,841,392,138,428,374,782,461,837,308,517,772,062,154,255,958,392,639,177,
355,647,264,424,006,834,879,992,298,457,814,222,822,480,458,112,811,128,137,
425,828,746,201,504,211,591,403,544,224,119,329,246,304,202,674,299,971,269,
129,134,764,746,407,988,244,321,953,545,894,402,740,559,319,689,713,449,047,
319,518,235,699,260,783,163,738,557,871,848,579,121,723,191,918,518,528,632,
075,107,798,148,160,531,012,044,297,883,771,111,870,677,850,327,420,846,990,
353,451,711,817,760,794,652,968,687,928,871,921,836,905,589,888,010,435,588,
534,186,469,723,439,723,727,263,346,320,084,087,540,701,563,369,173,426,447,
625,871,400,852,635,946,668,585,107,741,551,306,430,923,942,468,623,210,486,
453,898,590,125,363,604,081,463,009,703,530,785,163,974,742,574,843,232,497,
670,649,752,225,982,180,051,321,249,016,334,140,263,346,206,696,207,043,838,
003,101,053,564,453,653,979,116,977,466,530,168,028,646,875,858,133,164,931,
427,588,037,376,788,089,208,216,771,827,079,849,393,911,219,644,636,055,835,
872,702,283,787,324,064,917,030,365,687,349,058,056,782,654,523,637,123,339,
436,600,283,003,613,955,704,490,742,232,496,345,597,996,366,152,688,026,932,
776,979,391,856,404,058,049,644,817,865,162,564,660,244,927,158,236,770,075,
366,139,851,500,381,296,746,461,680,049,864,821,095,571,081,145,433,439,516,
461,534,785,043,087,318,305,515,854,260,975,779,128,469,531,978,058,326,079,
284,076,155,876,473,904,786,445,495,371,556,239,504,270,533,007,779,204,543,
841,766,341,885,005,312,234,317,778,972,272,667,110,546,263,489,385,583,290,
625,887,943,549,301,636,848,629,624,792,047,119,391,250,014,983,673,539,891,
823,906,277,995,210,509,183,031,998,013,101,185,134,907,421,835,890,637,660,
930,398,087,225,020,474,885,154,386,771,189,784,993,207,596,919,385,411,854,
102,215,594,348,989,322,285,311,919,632,895,233,190,085,592,271,679,969,450,
974,424,194,850,787,201,907,116,114,788,480,577,705,652,233,552,025,486,333,
732,967,023,603,000,656,224,020,385,293,987,541,023,731,624,697,788,087,806,
796,529,594,539,514,649,904,430,920,018,595,968,906,870,177,572,107,081,590,
775,265,962,174,945,666,240,982,572,116,275,303,587,044,815,424,953,895,305,
029,008,767,758,436,211,050,535,337,488,682,308,102,614,939,968,612,344,688,
991,700,993,355,234,040,207,581,974,439,159,901,119,164,764,678,419,767,461,
728,139,120,326,413,654,557,123,963,180,806,071,729,708,056,652,547,133,952,
405,919,069,735,508,235,644,456,159,456,163,021,531,909,155,652,835,548,424,
217,228,255,563,233,480,370,866,986,089,185,079,986,445,285,872,181,605,203,
024,110,687,966,538,938,552,425,038,163,847,802,943,971,201,229,444,674,588,
831,818,551,767,088,586,690,376,632,565,108,362,436,506,037,515,901,341,925,
761,860,472,109,744,803,417,387,431,589,243,865,167,055,549,287,867,678,745,
618,569,339,243,583,832,100,940,865,586,699,391,731,507,912,972,453,083,424,
401,678,797,156,145,781,717,365,989,501,870,698,512,329,853,298,076,941,697,
417,310,195,701,506,883,827,046,040,168,676,210,132,323,224,971,598,318,339,
465,246,771,126,865,762,004,851,942,113,748,247,963,318,498,034,510,847,263,
434,573,619,268,100,492,947,500,407,609,602,520,292,804,660,737,155,314,048,
222,450,494,704,046,779,310,210,880,437,577,104,631,351,610,026,769,376,074,
171,988,100,907,808,321,780,449,240,353,963,344,014,206,048,602,464,986,390,
710,256,792,289,534,588,414,760,882,320,195,709,087,106,916,978,006,085,415,
926,532,391,654,853,460,523,104,837,269,921,207,267,075,368,426,384,934,958,
539,877,943,112,940,738,927,320,038,855,149,037,733,857,586,824,105,963,896,
733,774,403,845,769,414,630,621,965,866,579,469,244,303,850,051,927,926,310,
256,058,082,647,242,112,300,330,066,868,782,694,884,143,479,506,408,735,672,
662,851,985,675,877,547,788,804,010,884,391,833,815,552,818,166,186,668,398,
311,802,656,396,946,053,034,780,298,388,650,597,193,276,963,365,277,454,565,
138,282,956,263,796,992,313,792,869,839,304,125,000,834,915,168,676,449,242,
385,474,171,757,250,904,512,065,711,211,849,670,527,167,051,160,423,733,178,
806,050,274,636,805,031,474,048,746,646,941,512,410,497,903,261,898,556,480,
311,849,774,700,161,578,576,972,828,442,680,871,520,359,583,052,027,876,085,
945,601,293,689,890,197,954,169,777,564,228,418,844,660,060,725,200,809,111,
801,700,418,398,200,462,053,678,596,615,638,075,605,147,928,892,912,827,112,
956,721,348,819,798,341,887,619,361,817,436,865,959,703,619,937,838,139,083,
336,920,632,359,204,514,270,777,780,228,924,124,191,700,013,811,645,847,709,
849,061,278,672,695,908,387,670,660,712,214,730,976,789,891,369,521,973,149,
143,157,063,847,130,529,117,354,616,988,384,769,547,798,835,004,440,580,618,
276,375,722,343,831,857,849,166,681,921,756,960,501,161,664,663,535,953,353,
989,178,533,386,184,603,253,975,793,593,248,126,298,448,726,503,000,468,088,
641,480,812,658,531,757,769,956,105,677,665,587,754,365,733,226,131,476,736,
126,803,009,674,683,781,400,715,404,558,997,033,439,969,955,061,893,863,072,
246,816,024,537,224,019,289,476,680,647,589,782,223,204,286,723,342,817,913,
942,627,551,573,525,746,915,494,791,871,621,247,703,813,767,379,993,335,138,
646,705,348,889,041,357,946,581,369,514,014,105,504,306,187,771,801,614,153,
741,960,239,291,683,315,936,573,982,742,146,377,049,226,698,927,178,421,570,
760,953,148,503,643,577,555,628,301,927,178,486,407,295,890,421,352,867,936,
123,146,567,770,763,368,122,238,626,430,475,284,849,241,642,581,823,019,113,
606,073,261,801,448,073,004,431,556,618,368,363,404,458,854,345,779,394,666,
641,494,660,684,360,123,088,800,610,226,103,195,654,828,241,146,066,813,105,
112,557,366,124,176,198,997,988,126,717,399,084,611,204,532,594,618,017,668,
784,367,153,948,745,151,704,538,838,001,216,559,833,946,723,474,688,784,456,
957,687,965,893,502,522,081,144,109,463,757,608,123,869,491,837,717,419,391,
193,504,375,802,914,293,364,797,296,666,872,589,690,442,060,770,961,087,484,
602,964,691,830,865,543,379,630,122,545,693,121,899,262,137,109,648,539,952,
234,950,185,354,644,059,232,032,566,826,467,202,801,225,488,146,745,456,028,
957,870,919,104,055,488,311,987,695,073,265,138,069,159,583,960,800,752,381,
719,605,020,536,007,715,722,881,175,672,465,415,762,263,233,595,090,614,038,
746,730,004,825,291,670,055,379,816,814,175,696,653,577,076,842,729,242,091,
630,065,613,024,323,423,401,026,980,649,062,673,150,519,941,201,889,640,236,
559,456,507,358,562,543,618,747,337,713,576,509,219,036,767,610,495,265,139,
848,527,700,583,353,832,093,076,045,844,684,922,451,637,320,712,787,797,178,
086,707,332,700,191,420,732,536,649,913,391,132,250,446,844,294,922,420,765,
246,376,722,072,929,704,852,601,263,885,109,200,018,880,702,762,474,814,497,
768,253,182,870,077,829,763,151,589,825,558,445,179,284,842,765,814,755,909,
406,325,018,581,319,277,542,853,267,169,887,013,658,908,324,775,730,668,681,
333,638,933,447,169,022,309,478,465,694,822,066,256,745,340,373,716,684,595,
350,071,078,394,197,140,344,415,222,115,015,813,848,021,840,416,377,742,985,
818,982,485,843,459,276,951,576,594,943,960,232,066,730,720,735,409,325,300,
935,718,585,013,808,345,686,650,584,780,168,692,219,709,179,781,611,776,342,
613,501,422,273,696,390,110,538,382,053,677,437,410,928,036,384,056,540,490,
690,774,213,677,273,981,281,319,548,278,504,318,885,281,305,450,176,835,144,
730,825,292,911,643,909,014,112,423,190,927,590,611,461,546,167,621,883,918,
457,342,911,342,966,151,482,784,822,195,263,846,479,337,986,620,856,647,573,
302,961,985,223,276,923,013,604,530,594,643,262,847,384,049,072,006,353,861,
805,525,438,144,786,756,087,421,338,103,525,539,912,407,116,646,461,485,308,
827,474,002,423,174,218,801,686,669,496,123,679,893,601,552,278,178,370,218,
532,604,458,126,986,489,634,916,124,568,967,754,130,401,085,844,865,874,676,
642,370,107,626,100,607,871,860,012,411,923,469,715,373,564,625,649,531,864,
621,171,686,832,643,505,665,293,272,606,620,845,729,924,445,809,727,070,124,
978,727,574,411,772,648,106,757,028,652,617,926,915,692,811,381,766,990,564,
818,140,410,206,871,871,663,693,798,381,673,144,358,086,517,873,544,897,949,
461,332,554,535,345,757,466,263,036,942,255,032,785,218,444,764,197,771,429,
704,115,324,006,086,786,426,032,806,641,714,688,232,439,318,170,259,395,692,
774,928,831,751,830,396,975,883,050,228,970,349,721,916,117,458,010,328,185,
194,189,678,434,501,112,261,099,752,359,392,559,462,188,025,458,773,280,468,
015,985,565,953,731,537,285,456,768,528,728,890,433,427,165,144,202,456,811,
273,155,669,981,629,372,366,892,156,959,267,874,323,795,899,017,312,253,693,
697,524,649,685,600,311,698,974,493,775,414,572,569,979,565,697,657,337,395,
057,011,606,729,773,313,622,462,791,463,401,879,375,509,815,037,671,532,286,
299,394,792,332,642,017,394,329,556,103,129,646,071,591,422,450,301,056,647,
352,909,256,833,167,522,643,282,459,348,121,713,956,715,310,836,775,710,449,
604,624,873,973,434,709,510,075,818,761,402,816,140,667,180,836,074,036,566,
391,777,797,915,075,028,202,074,191,753,313,069,235,106,654,102,371,925,629,
548,127,619,162,934,016,473,421,439,047,219,126,563,640,326,614,057,995,722,
092,333,700,158,826,849,243,929,923,906,260,285,876,138,742,115,186,777,580,
997,638,854,833,779,463,405,001,104,589,970,740,322,736,719,484,578,908,572,
995,793,194,147,321,869,173,965,714,405,946,325,373,777,974,821,231,972,893,
268,534,113,568,041,010,960,658,396,704,309,219,330,189,917,961,978,988,721,
425,343,983,202,581,538,497,414,739,633,473,202,807,516,204,843,858,732,975,
475,354,191,933,138,796,272,087,859,750,829,475,607,978,422,255,746,584,232,
270,831,521,340,785,192,973,892,494,238,076,021,162,856,329,288,051,059,180,
733,222,842,559,787,354,614,950,622,596,579,794,005,930,324,847,358,613,771,
984,567,764,077,421,489,427,151,602,487,187,033,883,413,843,323,845,111,580,
173,981,268,645,208,096,437,300,039,910,143,235,487,664,273,672,679,935,288,
729,965,441,188,862,043,100,836,101,499,010,345,915,236,786,163,198,541,701,
356,798,312,923,437,050,438,296,671,830,339,648,305,289,950,222,962,402,754,
888,153,978,252,737,245,799,959,898,662,649,936,873,303,252,870,484,837,442,
542,142,327,415,906,599,943,943,000,887,224,397,816,283,545,006,502,209,824,
030,230,784,618,771,696,953,964,365,091,480,490,692,878,434,668,560,353,331,
358,341,449,078,302,046,309,688,995,156,223,394,238,303,181,006,463,158,724,
875,887,642,746,646,739,525,770,970,461,608,592,781,152,121,467,598,433,610,
289,677,172,541,951,828,859,599,294,813,607,278,637,247,669,800,351,803,091,
291,211,442,242,284,839,743,415,195,101,376,089,437,161,567,652,822,603,683,
854,643,442,746,303,811,420,618,842,494,094,289,144,802,792,113,589,293,426,
151,989,915,283,597,162,216,962,282,303,726,684,016,524,297,177,084,337,269,
204,335,908,275,842,016,718,281,756,242,565,758,830,178,768,724,146,559,485,
937,152,135,371,319,249,852,375,065,231,417,074,250,357,432,777,560,203,660,
467,797,441,423,140,920,409,561,593,102,061,901,924,069,208,409,481,823,760,
639,855,587,442,632,571,799,988,886,279,200,733,000,029,177,169,566,906,972,
946,197,782,940,515,747,673,197,664,855,614,393,177,379,221,535,625,949,941,
152,309,090,717,320,287,800,880,952,530,566,929,078,615,528,410,943,134,131,
332,701,418,005,195,252,634,261,976,729,772,377,279,803,826,564,261,901,200,
387,444,481,912,424,966,992,658,381,383,790,998,915,992,424,011,131,070,403,
437,874,878,677,334,595,416,865,926,901,113,891,479,671,449,167,748,911,869,
556,711,196,872,583,446,143,623,771,490,074,968,347,274,076,036,504,156,865,
508,415,553,637,591,047,936,861,416,131,425,824,462,747,254,105,042,459,612,
240,769,582,715,599,882,876,761,065,747,618,896,309,656,527,983,046,667,490,
768,181,298,263,659,180,441,186,706,943,499,569,868,827,398,908,424,473,019,
918,063,601,050,663,724,711,658,629,443,386,992,303,963,294,831,580,437,758,
268,338,555,422,438,929,705,574,495,163,502,323,541,548,293,645,137,397,856,
537,492,273,335,140,075,312,176,439,753,298,929,585,011,420,344,298,367,747,
146,167,922,582,607,373,886,602,677,542,986,772,250,530,008,215,962,152,911,
416,195,632,648,832,495,679,244,203,546,667,580,959,673,641,696,205,183,466,
585,248,128,421,612,434,843,511,579,183,411,225,866,170,387,009,898,752,431,
980,892,331,744,569,662,797,978,298,907,776,976,427,322,694,745,510,072,017,
793,740,062,091,928,532,874,976,812,040,015,222,720,676,510,622,652,427,727,
570,117,475,296,904,129,583,750,926,965,625,734,604,503,960,784,870,402,648,
460,382,071,919,865,627,524,171,866,018,960,145,153,414,104,796,334,236,367,
034,500,549,221,324,220,173,694,665,161,380,062,045,470,085,540,720,340,517,
511,408,176,009,257,306,820,646,122,040,234,846,961,092,720,797,068,056,697,
618,245,986,567,182,287,589,163,735,870,140,025,303,143,053,078,433,676,198,
830,721,431,082,753,382,748,649,580,416,873,348,147,719,560,635,447,732,041,
315,006,451,060,247,708,587,113,722,610,720,635,605,981,521,016,739,135,972,
440,797,620,551,536,727,713,459,131,789,660,772,616,935,191,474,794,870,492,
502,264,622,905,667,717,127,546,237,775,218,357,022,593,688,793,358,763,795,
802,174,510,300,146,753,159,979,175,903,019,806,300,178,745,199,431,550,319,
811,534,055,178,993,251,134,144,807,463,626,062,450,595,662,212,496,789,264,
357,103,109,190,997,831,502,125,117,635,038,530,694,489,391,142,452,039,989,
469,434,898,828,457,518,694,237,292,732,637,488,037,201,936,343,264,766,591,
974,331,704,341,200,490,976,594,122,018,268,276,633,560,464,366,288,727,891,
886,043,320,844,930,828,616,082,801,842,479,893,793,193,067,103,230,109,722,
167,634,039,579,324,680,628,365,697,153,085,352,242,515,911,445,310,975,554,
492,214,303,553,341,809,438,121,466,974,604,111,749,504,915,379,226,820,030,
369,388,944,436,575,463,364,337,096,212,576,045,928,091,332,035,866,631,395,
352,857,540,215,808,992,464,857,616,026,763,590,158,096,690,438,703,069,307,
935,329,991,458,398,742,099,256,824,439,353,669,002,117,917,529,291,181,079,
678,937,551,670,663,552,737,990,860,758,831,321,292,014,277,408,370,212,270,
743,156,328,701,079,834,932,438,687,877,209,380,327,339,332,133,891,840,029,
225,687,913,733,260,540,061,153,784,636,213,692,015,783,051,501,943,495,072,
846,505,996,828,132,147,140,464,668,666,763,916,681,475,450,048,100,272,490,
017,196,186,673,382,965,190,147,414,372,059,616,625,768,973,807,249,735,327,
695,974,961,482,548,860,204,843,656,656,282,041,965,958,917,989,825,491,933,
930,680,177,142,336,071,299,207,520,866,050,975,185,452,422,522,493,788,005,
159,931,639,301,583,197,927,942,379,019,625,773,446,924,740,728,896,998,585,
003,389,322,417,821,136,143,954,982,733,748,147,823,269,250,602,204,785,509,
778,213,821,042,818,619,754,869,410,734,733,662,355,482,507,676,304,146,496,
984,763,610,243,224,349,339,458,285,467,770,095,718,278,944,601,448,562,847,
541,296,153,001,196,996,376,125,308,063,412,327,851,463,280,690,884,606,408,
013,287,038,540,788,287,472,978,111,555,088,143,740,059,460,399,846,177,846,
011,197,441,201,900,389,636,425,742,157,932,580,650,654,340,045,673,089,886,
301,220,498,965,884,040,861,917,020,119,566,972,055,343,904,158,446,944,660,
777,508,181,742,709,158,287,364,073,544,362,994,805,944,128,115,931,288,002,
096,606,759,251,867,598,040,875,324,040,304,777,325,881,792,098,324,735,934,
095,376,558,787,191,564,820,396,498,277,752,341,352,670,345,850,604,076,219,
007,328,718,188,665,086,787,024,352,546,459,243,261,394,661,169,871,687,577,
803,176,034,629,317,939,580,550,638,616,109,136,361,694,986,829,483,515,300,
369,479,065,521,926,348,084,502,806,679,558,620,303,490,585,550,853,520,149,
073,679,812,529,435,183,314,119,622,887,158,725,220,553,173,423,167,171,362,
853,590,754,864,986,614,382,509,252,793,440,693,967,715,096,626,981,927,919,
485,242,047,116,725,636,333,181,747,721,215,349,937,359,157,732,524,017,052,
286,621,979,054,955,598,073,875,512,632,031,352,729,239,655,162,483,188,742,
613,123,697,553,987,900,629,882,169,896,111,587,240,946,885,369,769,542,255,
741,284,099,301,052,546,816,449,862,136,352,799,553,401,315,902,552,686,658,
743,569,968,763,573,712,077,352,790,555,625,199,805,947,592,538,309,404,401,
024,556,132,090,294,875,898,952,552,148,873,596,861,832,076,068,206,449,556,
757,798,664,816,058,904,509,156,655,076,534,885,067,000,377,463,972,973,953,
165,834,032,315,961,757,110,163,321,307,565,865,449,283,459,992,458,441,497,
674,546,010,478,701,167,481,855,074,905,202,980,815,431,906,373,919,892,010,
600,957,356,309,837,571,139,304,068,222,934,431,530,770,481,789,670,089,067,
741,987,535,975,419,961,342,724,127,197,014,216,840,398,302,802,140,790,781,
759,213,890,387,174,908,248,765,946,749,648,514,288,037,556,947,677,961,478,
833,959,087,238,090,507,948,524,249,599,369,285,613,315,496,181,969,211,218,
680,264,166,194,004,772,019,379,376,617,172,911,064,423,355,107,712,153,103,
046,118,381,497,402,707,751,061,364,012,357,380,846,688,509,612,569,623,295,
615,278,074,012,841,470,002,604,625,821,871,063,292,319,801,183,154,731,160,
061,948,704,539,261,932,502,769,600,618,476,444,309,146,860,556,458,490,836,
287,681,081,834,799,216,510,307,597,280,017,900,851,356,978,183,100,782,425,
403,838,915,076,807,450,574,658,290,205,632,072,239,649,592,920,937,459,611,
687,162,900,243,683,540,005,015,477,862,872,530,077,439,285,248,272,447,782,
292,771,370,546,175,106,089,364,868,860,211,442,673,973,462,305,325,728,364,
570,162,313,275,383,759,538,109,400,059,252,189,670,303,722,709,774,987,019,
191,204,381,916,841,580,295,055,589,655,041,170,914,746,244,244,204,140,749,
992,933,444,329,310,437,277,353,471,414,787,002,280,680,324,693,227,134,321,
501,521,311,759,575,037,183,070,805,754,122,980,622,569,616,104,593,194,201,
329,982,860,185,272,975,645,755,105,688,919,460,025,058,637,662,910,647,442,
267,774,822,248,086,819,999,630,687,187,520,710,865,944,732,819,282,539,849,
159,916,768,371,540,795,391,466,116,194,071,794,843,087,411,850,628,733,172,
493,452,687,732,471,341,932,720,160,640,038,946,510,204,762,018,627,247,187,
386,998,125,251,936,984,432,753,852,903,284,844,353,478,644,501,648,237,035,
486,679,078,994,824,216,024,710,738,041,737,166,595,819,586,413,534,147,669,
027,892,979,317,026,635,974,923,123,544,430,785,122,709,876,788,213,365,779,
453,057,069,543,184,808,521,827,289,918,549,448,185,821,279,737,015,652,191,
510,052,321,249,688,872,831,092,366,098,448,622,432,289,272,193,146,117,598,
484,627,335,452,145,294,898,561,739,643,224,962,764,797,497,662,756,781,370,
279,997,684,401,319,599,185,198,958,357,485,864,954,305,970,301,169,645,420,
863,272,222,980,869,415,421,370,225,397,901,717,357,151,604,683,163,819,185,
464,059,395,041,895,916,714,189,425,759,654,408,195,464,867,478,197,133,640,
357,471,242,920,121,761,534,660,337,392,630,288,404,159,003,278,776,591,247,
338,328,906,953,565,916,692,062,796,241,860,057,149,682,589,163,502,275,205,
938,302,867,222,352,840,585,189,848,597,547,639,704,781,457,036,564,525,463,
662,664,674,191,137,403,710,065,031,367,990,105,433,506,701,338,895,293,852,
589,424,151,586,049,810,664,882,365,249,288,385,630,112,010,898,560,079,850,
654,651,997,000,560,292,012,794,609,744,308,170,259,870,273,633,110,710,493,
885,589,107,336,570,561,111,816,642,142,304,499,325,649,690,269,345,945,675,
125,255,464,820,165,775,015,531,432,943,473,242,861,100,128,059,118,695,708,
468,132,860,289,233,304,880,453,735,695,972,923,486,512,220,821,034,337,055,
689,608,253,238,440,895,167,101,520,015,552,067,760,822,673,608,698,617,305,
456,305,157,337,691,465,207,486,603,305,170,125,268,517,998,744,556,419,914,
255,336,259,289,084,986,062,314,767,277,176,660,729,464,381,215,238,254,899,
084,035,130,448,541,833,980,270,829,020,561,674,526,120,972,120,779,108,998,
423,439,976,695,850,308,529,629,861,997,899,033,932,050,568,814,074,681,958,
728,540,676,953,607,391,034,186,052,431,335,263,540,633,829,913,023,202,716,
606,459,582,000,199,513,589,502,378,141,070,182,392,220,845,777,768,144,532,
945,251,297,770,695,445,436,352,931,820,379,875,822,646,719,347,275,299,004,
485,186,098,328,626,078,481,804,005,444,543,117,919,422,090,438,653,624,936,
980,076,133,289,121,812,321,609,738,640,955,119,204,748,622,271,150,049,167,
541,414,624,226,377,982,135,742,763,918,766,851,706,961,153,089,806,522,894,
570,538,337,717,246,193,847,107,248,296,852,228,956,404,013,898,272,312,877,
974,930,760,540,868,696,011,262,784,943,147,343,902,519,718,355,028,811,354,
931,350,520,309,912,048,496,889,465,614,055,548,461,049,371,569,356,586,884,
259,520,275,104,486,579,769,439,147,857,591,723,447,497,456,707,422,990,154,
616,671,785,742,124,702,386,271,260,540,790,624,529,945,671,333,276,475,250,
524,080,835,632,562,403,174,560,879,818,118,918,753,045,283,928,316,165,809,
615,720,666,100,410,392,005,189,560,970,971,998,688,802,948,876,220,649,303,
338,354,164,933,463,796,032,401,075,193,335,292,016,628,661,690,444,706,178,
992,039,008,237,790,608,513,506,125,988,005,971,793,791,808,556,099,538,815,
853,929,640,212,992,837,338,589,003,562,227,932,064,237,668,404,420,180,770,
014,973,178,895,225,061,078,994,912,371,393,052,303,002,365,815,374,680,487,
401,497,419,579,014,622,923,916,480,153,719,402,398,198,102,768,774,483,159,
219,785,729,403,140,910,018,633,687,462,678,401,826,541,227,637,148,229,713,
568,600,144,715,605,376,385,706,804,698,221,045,807,642,640,917,412,833,142,
575,898,807,276,351,179,182,850,808,478,799,760,539,510,694,332,598,722,149,
480,666,062,174,651,463,161,996,627,993,426,187,192,789,975,004,207,870,550,
996,564,586,631,079,284,494,577,868,367,777,819,508,980,433,764,593,243,195,
315,531,060,350,175,085,722,875,919,291,061,664,145,960,337,236,244,196,896,
884,275,788,389,731,274,715,008,061,809,737,765,133,522,049,357,487,969,768,
158,495,405,410,879,731,932,560,866,389,372,985,806,106,554,730,473,133,061,
775,991,155,859,148,977,797,288,574,343,263,393,935,338,451,793,383,602,229,
317,974,259,628,487,847,646,720,679,700,971,171,075,815,540,928,856,187,282,
881,669,320,104,691,508,401,328,442,807,703,966,231,159,093,270,075,331,818,
220,466,984,886,189,319,598,396,726,969,906,168,920,029,681,430,607,383,257,
672,479,104,100,443,957,387,377,209,742,351,580,334,377,158,181,051,779,044,
783,358,570,132,116,621,979,904,793,826,477,474,180,580,974,959,180,533,933,
853,891,267,741,119,602,720,982,545,716,253,241,546,634,542,918,850,641,067,
042,196,358,987,238,115,689,651,353,519,280,562,638,796,430,153,880,750,956,
794,452,846,896,715,134,548,928,893,924,437,647,225,827,513,691,995,279,027,
283,634,235,991,553,098,526,432,464,214,775,146,840,378,793,402,941,662,655,
677,239,669,725,467,518,232,168,300,474,750,296,224,766,699,915,398,590,179,
653,150,391,554,253,909,787,339,961,726,389,714,620,344,914,803,661,735,016,
297,283,098,543,711,247,939,722,110,874,654,768,594,391,210,055,766,261,078,
089,014,347,563,888,344,045,702,711,018,002,403,647,648,780,248,262,206,287,
649,967,806,115,224,916,863,080,397,449,949,796,231,103,536,765,259,555,109,
185,751,697,863,165,976,845,667,156,799,985,384,113,269,476,034,504,339,892,
952,132,126,596,403,372,564,215,870,678,199,895,600,795,920,088,536,842,859,
403,519,058,949,081,203,427,056,088,166,784,294,090,057,299,003,639,671,225,
612,439,773,532,074,109,525,066,449,816,121,588,372,223,840,010,359,670,299,
320,070,833,005,584,217,606,091,110,154,331,756,972,523,374,034,553,212,939,
989,060,927,546,484,218,868,753,277,309,917,236,903,571,512,771,019,795,675,
671,388,661,691,967,823,878,769,065,251,452,020,873,224,287,955,194,590,443,
318,264,705,122,822,114,719,653,861,699,363,222,946,381,724,196,960,498,218,
543,410,829,690,567,371,747,328,296,291,865,108,619,998,899,671,191,475,671,
571,691,911,905,328,654,616,297,055,041,808,623,912,507,149,315,249,294,744,
253,300,576,120,329,298,398,573,363,785,378,197,548,251,476,309,669,128,454,
730,694,998,444,276,294,764,643,221,460,061,847,315,951,032,807,450,775,719,
980,865,231,906,242,768,504,259,085,021,942,968,398,066,304,571,663,121,923,
676,385,136,780,969,941,744,429,555,130,537,472,323,356,753,536,514,702,862,
425,798,886,435,326,942,746,904,889,528,812,673,761,438,602,619,250,902,684,
655,683,687,852,356,999,719,805,982,705,000,963,273,332,335,219,751,558,513,
095,644,125,056,501,657,357,747,372,929,299,135,178,279,924,787,333,383,880,
048,077,558,827,565,144,365,042,975,573,353,724,152,809,051,838,225,292,063,
795,615,328,267,334,143,324,435,073,218,670,497,959,160,596,622,293,955,841,
594,835,793,368,719,838,228,920,060,062,271,435,770,599,720,196,407,938,084,
647,645,372,077,274,955,249,709,629,288,154,621,487,346,524,765,815,854,090,
284,516,927,422,641,200,329,795,792,228,790,140,761,894,640,933,131,482,282,
350,689,162,100,758,162,348,248,897,791,729,659,526,266,029,435,626,473,571,
972,309,808,220,173,790,422,233,288,849,260,284,356,391,333,519,023,031,496,
074,303,567,405,745,017,181,949,778,517,088,483,918,094,511,927,785,341,640,
783,477,801,295,234,708,688,616,809,160,839,137,106,824,321,446,920,004,105,
292,258,283,792,902,332,629,480,578,871,084,736,087,449,440,664,471,025,521,
844,780,483,930,951,409,398,288,245,819,694,582,114,192,148,025,211,421,657,
382,783,169,318,464,718,157,098,411,611,690,150,920,939,217,523,461,279,888,
214,994,362,093,539,550,447,588,563,279,925,650,994,353,979,240,877,303,230,
658,121,109,719,200,384,145,684,298,123,600,745,803,158,378,160,347,871,848,
536,367,014,286,777,116,476,932,593,629,540,390,824,861,445,494,764,200,888,
394,685,207,323,454,182,190,970,401,363,382,441,258,525,596,510,171,776,809,
343,616,438,581,572,280,978,788,561,415,378,019,050,241,561,781,467,291,716,
763,039,745,745,992,212,832,625,985,072,709,914,606,420,468,414,906,038,579,
733,891,145,126,140,561,484,521,016,893,002,203,793,259,731,698,215,682,169,
577,289,906,610,265,791,181,931,319,899,173,528,200,031,221,189,326,478,783,
210,608,063,403,772,672,666,288,397,680,820,230,195,871,628,863,501,747,283,
889,284,567,474,350,897,563,656,075,244,268,303,835,998,804,009,583,385,531,
197,083,266,577,767,318,655,116,921,634,528,463,593,082,974,423,850,905,137,
085,692,941,737,239,846,801,088,515,221,604,273,306,255,712,636,003,465,590,
632,116,532,952,468,714,088,905,314,980,573,321,087,451,920,294,638,633,136,
828,008,113,380,147,995,883,730,546,027,811,014,887,381,324,374,326,269,991,
161,437,025,873,857,765,961,722,886,145,975,937,627,488,690,235,508,782,011,
901,788,562,827,067,304,161,207,731,810,984,933,839,670,694,172,767,589,310,
428,211,230,074,410,063,386,416,479,473,437,923,393,102,215,249,083,061,413,
962,345,177,515,130,027,953,916,661,823,361,596,253,784,334,822,567,571,758,
030,365,721,586,863,901,002,725,212,384,755,817,923,496,415,876,209,994,107,
900,051,572,474,047,347,615,083,194,116,209,033,178,625,103,765,883,277,764,
843,978,303,212,860,817,337,802,189,802,901,236,418,377,158,231,301,157,428,
033,400,672,576,611,236,893,673,059,827,379,133,618,781,315,589,771,488,432,
093,008,267,758,114,956,569,868,985,936,881,117,231,055,614,580,693,159,132,
021,053,099,375,419,337,976,061,506,163,691,861,186,769,686,691,169,767,702,
421,172,112,855,743,720,222,251,374,501,319,799,454,595,649,076,686,791,679,
600,629,646,940,263,682,561,305,625,481,204,669,035,972,467,465,305,268,772,
558,479,709,338,438,200,015,642,423,947,242,627,129,240,871,705,961,655,541,
002,384,212,660,075,035,548,922,396,965,416,718,995,404,107,326,679,587,868,
377,329,149,447,561,779,671,826,758,810,618,827,574,810,884,902,093,365,506,
009,609,160,036,819,696,076,141,583,265,268,446,474,491,788,612,993,614,868,
175,453,040,613,963,094,435,838,217,170,071,251,061,565,562,849,894,568,367,
595,330,414,509,032,733,526,111,176,337,395,343,213,285,956,898,487,939,879,
848,045,657,171,286,941,692,137,312,307,126,899,107,622,732,317,114,256,611,
016,598,972,401,585,692,763,275,086,167,056,704,160,336,036,676,724,260,025,
737,917,334,338,795,890,599,980,065,226,278,516,078,867,518,931,095,227,385,
828,599,172,080,703,703,384,249,556,246,597,436,208,401,738,468,403,200,802,
266,127,535,071,235,111,863,733,050,290,410,314,654,490,683,805,025,435,972,
758,668,100,922,395,901,335,678,936,250,201,344,644,059,299,208,578,562,314,
337,462,898,129,385,087,374,326,737,942,156,534,443,362,189,880,755,384,055,
551,386,940,990,135,554,101,791,595,836,832,805,808,859,828,291,501,032,449,
509,970,959,227,984,090,661,151,052,650,091,148,361,170,024,846,343,911,338,
525,574,208,797,915,303,985,471,667,242,620,886,655,982,771,627,976,018,657,
736,112,376,677,597,941,552,813,241,114,828,897,954,508,644,634,620,614,730,
174,573,494,611,684,969,370,861,188,303,051,422,715,812,704,601,289,436,108,
986,192,179,087,378,601,204,678,501,040,422,560,865,817,150,873,988,990,801,
296,316,587,243,914,652,722,150,259,411,016,437,690,616,228,317,651,704,214,
845,024,477,950,038,187,256,350,732,688,535,634,491,190,001,828,503,284,569,
088,855,009,523,698,578,737,473,155,280,412,338,092,991,814,148,143,790,566,
815,140,767,304,271,015,122,669,756,158,603,593,840,853,411,949,256,418,879,
705,544,435,526,491,471,965,835,189,656,940,010,156,655,551,082,770,091,916,
927,875,307,534,168,118,421,894,788,128,877,925,710,357,809,905,050,181,012,
904,132,117,614,126,895,168,435,283,442,926,079,226,862,147,693,491,662,599,
107,428,075,064,167,787,916,468,184,918,013,730,286,836,160,415,635,595,247,
079,495,102,521,569,843,196,053,000,410,914,551,024,985,962,148,690,772,798,
767,718,294,498,751,421,538,167,300,463,658,251,416,046,969,950,343,728,835,
318,732,854,304,899,805,302,987,146,346,406,100,371,994,159,176,967,325,679,
271,665,909,968,285,352,931,816,044,993,056,396,609,445,370,765,674,983,699,
617,972,491,635,428,288,630,878,491,212,306,420,781,202,589,937,226,838,978,
176,746,206,817,839,964,061,756,489,059,501,468,500,918,764,217,235,678,137,
348,938,354,048,328,838,944,840,939,710,603,328,479,368,521,363,533,327,710,
608,388,905,799,920,627,992,668,052,843,323,948,375,340,090,191,385,401,069,
799,593,550,200,616,968,614,729,635,428,122,284,650,840,414,776,405,602,177,
738,575,859,737,619,311,134,468,446,938,107,130,589,038,730,408,199,153,015,
416,345,031,872,280,490,439,296,276,335,477,325,177,113,985,663,725,453,447,
143,231,034,093,614,924,191,163,638,557,920,441,826,000,869,281,585,719,386,
113,755,572,049,212,923,532,597,490,398,373,383,961,015,971,197,556,165,870,
971,086,983,206,326,364,137,741,519,145,004,680,009,117,630,279,351,038,943,
610,229,515,462,817,754,896,770,597,169,942,258,580,263,551,923,079,310,456,
075,570,770,231,636,687,997,634,024,551,191,009,570,024,321,029,883,451,402,
549,441,335,490,636,740,816,294,298,101,487,347,272,623,984,046,182,849,102,
743,248,302,906,580,151,442,111,561,898,818,292,678,419,077,582,489,380,245,
424,680,048,925,242,125,638,273,313,920,306,864,266,680,943,082,812,592,008,
307,932,654,788,940,151,825,812,207,068,941,537,581,234,376,232,326,022,334,
440,872,907,289,652,920,094,748,390,788,784,324,889,239,066,152,815,256,291,
249,290,375,510,609,327,805,514,467,929,071,350,284,393,318,665,650,185,220,
965,318,559,338,270,658,654,410,663,952,279,380,322,010,835,969,185,652,149,
838,119,035,563,593,957,792,337,920,814,269,261,912,754,229,946,146,380,665,
475,928,165,514,586,872,157,221,178,172,242,160,989,678,246,780,920,962,784,
391,161,565,047,552,867,925,319,082,119,348,737,520,581,258,307,005,365,489,
053,076,701,364,640,583,943,129,699,388,913,211,173,076,156,141,315,317,724,
628,924,769,647,170,704,461,000,994,660,259,327,447,237,034,266,327,985,082,
418,751,795,653,549,487,721,541,194,022,104,685,082,967,992,441,845,105,399,
474,331,889,583,688,682,119,213,984,427,704,345,952,748,184,941,060,990,299,
009,079,375,471,465,412,757,774,923,338,383,810,662,866,447,674,207,349,744,
756,849,688,425,018,460,058,215,229,750,775,754,180,752,581,049,932,671,036,
048,885,237,683,445,250,638,328,395,953,074,796,717,716,756,017,679,114,360,
342,761,759,139,095,787,871,748,414,662,554,462,349,265,290,548,395,843,203,
740,263,508,787,767,972,248,041,256,023,104,559,705,039,854,419,267,499,370,
204,934,887,905,640,873,779,157,555,131,375,793,066,168,714,329,792,237,838,
531,020,958,261,572,561,329,816,092,389,053,177,589,377,882,756,613,434,826,
687,233,415,583,990,141,865,703,607,345,411,373,202,033,834,231,337,279,678,
625,337,569,084,442,360,226,676,139,231,452,143,981,939,019,871,095,168,275,
871,282,503,389,316,255,552,608,236,231,315,082,526,361,553,188,199,819,728,
326,291,237,050,616,886,783,307,486,998,021,802,597,262,508,129,297,048,872,
274,427,105,774,924,372,894,375,186,412,610,974,204,559,428,189,471,841,777,
148,390,139,186,785,719,375,321,046,088,577,654,751,370,246,933,940,531,972,
365,488,467,512,356,230,084,172,686,256,479,648,484,761,538,695,262,561,111,
878,909,686,318,620,110,550,992,758,178,494,495,632,680,302,275,798,274,710,
266,762,170,652,021,934,685,408,316,268,248,652,495,836,826,600,376,380,588,
408,285,770,602,490,457,713,881,580,856,340,726,688,900,201,721,593,235,624,
198,203,878,984,128,769,178,100,125,144,084,398,120,471,508,345,391,835,541,
232,162,096,164,491,745,252,883,733,432,655,986,980,296,595,624,832,895,445,
738,054,319,233,696,173,108,604,966,174,859,583,224,873,914,316,818,272,989,
085,179,257,260,093,938,080,521,569,768,340,934,086,803,172,832,602,521,280,
314,319,342,191,952,952,721,382,841,765,529,125,421,326,148,432,547,758,117,
659,899,264,668,512,848,307,731,062,404,478,931,148,796,990,538,712,153,812,
658,028,121,301,625,734,610,270,748,570,523,437,793,713,745,772,176,435,988,
164,409,643,600,914,210,599,345,079,184,492,092,744,096,873,326,461,704,064,
224,278,130,574,683,589,232,220,084,656,396,258,368,906,128,900,418,289,338,
363,263,710,442,507,758,691,131,934,605,979,721,930,588,142,118,260,526,440,
047,592,068,971,294,785,303,555,456,285,682,245,238,480,656,408,935,276,833,
474,001,833,963,204,509,250,446,960,242,458,477,104,135,876,630,501,198,482,
333,125,654,508,636,728,198,084,527,090,641,823,237,433,766,042,856,540,586,
135,903,219,760,351,222,041,660,909,829,925,577,774,131,749,961,372,667,360,
152,919,943,834,084,003,322,061,210,657,420,946,932,155,126,091,371,835,352,
163,636,713,203,511,471,178,221,023,940,642,409,806,092,399,527,039,085,547,
765,411,079,387,240,218,853,832,070,532,772,505,294,876,334,527,458,364,202,
803,984,041,257,441,755,793,611,648,390,747,776,447,960,479,907,927,481,568,
741,009,301,701,003,125,701,182,067,822,422,517,579,103,291,854,251,682,389,
909,895,841,838,665,978,422,500,245,065,415,337,878,405,394,809,018,282,256,
432,240,197,910,223,698,976,977,686,274,987,030,040,904,231,818,084,768,580,
786,965,884,706,542,577,476,395,432,319,952,103,548,732,136,662,478,904,111,
709,409,357,177,368,123,761,233,458,611,699,371,292,779,072,199,408,731,108,
797,375,537,366,046,475,291,395,481,379,790,850,062,072,250,301,603,790,787,
561,703,900,377,299,537,173,217,086,009,951,903,622,088,151,283,389,591,447,
421,355,917,371,975,441,146,056,249,240,563,565,489,628,242,459,018,330,811,
881,267,897,827,843,875,555,182,613,584,404,460,846,681,701,523,272,647,735,
844,143,435,015,738,772,152,643,715,762,108,670,942,657,437,286,748,092,370,
863,352,241,535,546,298,501,164,608,865,194,044,831,866,371,684,645,210,815,
612,477,221,441,013,656,834,359,441,121,238,799,470,894,686,783,907,433,327,
940,645,256,237,024,273,340,337,584,759,494,209,021,057,719,478,961,335,425,
498,426,342,163,900,748,200,419,940,417,451,961,002,910,378,998,276,372,187,
312,410,014,028,858,853,557,541,976,728,474,218,368,668,271,269,271,063,765,
387,400,368,073,328,847,409,975,021,124,443,473,013,531,209,902,004,131,794,
449,142,626,288,364,881,324,966,313,300,796,352,322,747,765,383,346,307,215,
962,382,426,647,479,141,621,276,749,171,675,610,153,770,958,296,013,266,326,
548,986,890,333,315,557,211,746,505,699,344,666,684,131,545,777,849,640,629,
510,968,280,816,900,939,172,558,146,211,925,281,650,448,313,246,717,755,097,
578,976,889,056,301,175,879,365,899,433,743,599,232,072,296,316,304,356,050,
733,947,484,683,420,760,260,146,073,714,899,014,215,792,979,958,298,716,274,
955,807,812,029,081,258,614,191,201,322,752,493,248,786,091,792,895,361,411,
648,850,267,977,620,684,664,331,488,352,807,107,295,064,953,782,326,193,778,
604,442,762,348,406,056,165,210,707,941,078,806,937,012,297,417,660,010,696,
537,516,263,768,995,981,652,847,935,352,777,932,776,639,355,910,960,650,499,
894,512,770,666,514,951,790,034,039,011,440,711,108,051,410,491,936,279,827,
877,446,548,233,571,544,502,782,056,204,909,650,849,250,356,029,294,148,197,
696,005,813,012,708,382,010,735,864,002,824,351,523,346,116,308,013,056,119,
612,557,349,329,056,511,630,532,135,404,290,951,656,415,536,546,594,863,726,
485,178,546,146,448,929,176,063,864,395,290,081,141,482,717,882,108,318,286,
844,450,966,910,624,433,874,852,148,820,461,185,915,938,079,180,091,385,163,
020,380,222,334,903,088,210,381,289,241,816,082,997,233,160,350,513,099,478,
710,933,493,133,300,834,330,946,437,242,455,510,554,928,483,094,882,223,703,
091,181,060,317,867,919,211,049,110,527,616,866,916,945,857,119,396,822,268,
343,642,682,852,651,048,816,970,798,069,542,318,766,387,490,457,838,675,545,
515,072,664,674,352,671,673,601,199,549,112,267,580,220,621,172,652,383,346,
398,401,710,221,825,551,517,667,746,972,959,520,044,660,344,786,017,221,500,
214,077,725,410,106,726,877,270,730,262,378,266,193,045,273,221,407,517,619,
509,860,918,074,206,978,057,343,920,202,016,136,438,015,092,068,679,674,077,
445,131,315,424,843,471,494,327,977,830,284,461,062,906,761,230,676,637,168,
318,855,842,169,464,749,355,582,909,766,354,379,041,518,385,049,417,065,574,
371,773,337,875,326,413,208,876,101,787,945,414,939,371,025,369,037,609,411,
769,907,997,284,746,828,277,006,316,306,344,323,448,775,418,750,789,329,631,
145,014,850,097,429,512,294,991,987,236,790,127,486,868,571,138,035,422,942,
045,549,406,656,058,192,279,284,418,814,339,000,895,915,394,384,205,163,337,
713,088,490,482,555,264,613,913,023,326,140,861,084,031,896,788,650,045,442,
598,696,239,208,111,391,651,967,214,824,862,572,069,866,574,794,737,623,636,
107,702,455,111,613,654,523,971,693,119,983,380,170,503,694,446,326,224,378,
079,485,014,654,739,480,923,318,784,984,762,037,037,462,954,065,607,672,381,
523,177,620,523,187,716,180,449,091,621,422,215,224,885,805,179,105,900,043,
556,866,326,761,842,562,868,668,856,357,825,677,864,595,425,964,705,427,478,
549,092,761,262,756,923,270,425,555,586,342,462,786,839,386,576,086,223,524,
953,121,366,875,620,071,146,018,809,716,052,723,495,572,147,246,936,601,742,
453,354,356,715,681,824,250,980,017,874,837,398,869,304,254,504,969,115,886,
024,632,949,438,940,745,160,272,411,032,748,890,654,489,794,936,406,838,421,
899,981,537,929,956,145,956,440,950,737,593,815,709,817,453,333,801,444,994,
678,935,893,957,808,874,024,683,700,129,949,642,300,464,017,937,144,054,755,
384,486,046,573,278,629,232,668,385,621,997,506,711,807,937,121,816,070,753,
025,078,541,236,011,897,502,389,969,140,115,119,433,266,968,606,461,637,918,
788,343,041,562,449,882,736,647,695,104,097,164,203,619,486,634,894,127,227,
021,811,596,331,791,212,258,577,568,780,044,774,967,764,608,136,906,739,311,
782,089,437,017,208,857,202,481,421,146,363,225,243,658,361,734,243,171,162,
719,592,147,553,827,059,876,240,128,466,183,744,854,466,021,761,559,017,461,
521,924,242,020,670,731,945,346,365,904,449,756,583,710,086,749,441,152,562,
595,241,721,635,199,849,879,010,063,684,435,734,748,994,838,628,537,056,616,
122,243,689,639,910,241,734,024,291,726,956,171,440,867,743,262,011,311,319,
152,360,605,734,126,004,958,755,298,212,748,163,930,418,423,261,928,910,379,
668,059,552,519,965,373,940,031,253,857,487,224,813,357,185,249,217,353,339,
389,548,090,851,736,225,080,642,328,278,253,648,011,839,621,862,733,084,314,
836,176,644,099,265,147,714,694,120,636,959,132,733,993,402,393,962,663,102,
943,816,057,062,888,278,311,483,593,806,514,169,900,652,504,815,216,305,666,
964,192,508,442,451,540,642,947,941,724,032,386,053,985,957,010,615,087,683,
014,740,804,912,200,412,040,167,386,163,941,643,086,616,222,911,798,649,098,
374,815,651,125,157,617,497,734,678,497,904,908,349,318,412,198,510,267,909,
760,058,509,971,965,134,281,406,841,477,062,948,196,944,056,661,228,870,552,
425,063,201,141,145,704,829,540,640,359,339,174,877,715,489,364,530,838,759,
652,207,848,797,598,677,878,020,462,276,495,410,591,513,186,898,552,699,659,
479,985,186,122,801,776,208,881,876,011,047,750,741,051,859,263,272,125,382,
076,713,405,101,187,606,055,872,793,284,589,267,419,672,914,259,820,217,386,
894,339,037,036,463,805,687,177,694,865,043,833,137,692,757,164,956,126,498,
127,208,218,458,229,434,267,031,485,242,897,056,171,537,199,759,893,398,930,
750,276,021,623,529,379,470,093,576,587,238,739,617,845,806,236,457,261,738,
978,882,164,038,712,168,887,863,867,850,224,446,181,200,982,521,466,267,247,
777,719,635,255,571,387,966,313,627,110,317,553,150,458,508,525,419,836,131,
260,003,011,797,681,536,626,368,670,046,681,620,585,423,005,455,335,991,238,
139,790,113,536,677,314,830,021,860,931,748,761,708,364,170,215,628,225,834,
318,229,695,785,006,889,914,425,508,681,238,613,139,940,485,694,353,010,031,
503,358,853,124,807,914,780,853,103,905,671,871,114,702,435,955,201,465,485,
223,876,009,965,748,138,192,646,368,183,850,205,010,921,516,038,069,192,508,
168,836,164,901,864,343,324,005,605,225,692,827,811,787,016,668,454,688,868,
731,949,338,080,623,513,167,938,082,062,223,033,679,749,881,244,385,779,840,
585,734,708,605,298,706,592,287,620,701,101,080,097,609,966,457,837,522,695,
017,517,416,706,033,563,274,419,350,069,688,835,725,063,277,056,100,151,137,
766,682,082,945,458,186,736,100,089,744,850,333,502,693,407,472,944,534,624,
290,007,259,666,854,102,200,200,771,617,282,315,996,254,255,069,259,847,598,
417,708,428,209,358,551,531,759,795,282,842,210,783,452,798,493,870,748,061,
021,110,710,843,986,101,310,198,755,618,407,496,476,601,376,321,026,719,893,
895,728,346,491,811,656,386,953,739,959,577,721,350,857,185,971,340,841,723,
082,520,249,136,485,693,331,702,987,705,426,222,663,406,067,963,830,566,431,
781,438,669,499,537,207,252,639,290,974,574,698,923,064,655,212,514,443,097,
131,932,098,821,406,290,483,953,258,996,998,442,173,938,282,451,174,030,290,
317,321,420,894,831,946,601,401,506,864,899,359,260,188,614,252,700,801,850,
453,518,460,876,880,338,940,842,905,118,423,144,409,363,803,267,005,717,200,
889,755,526,946,631,980,595,843,128,237,970,871,652,462,431,099,423,573,475,
729,675,738,867,761,396,505,313,643,302,435,970,057,495,447,519,319,874,548,
001,444,246,208,615,822,229,219,638,361,243,187,405,731,578,757,325,777,971,
511,577,351,989,013,893,102,485,738,518,239,797,313,559,740,948,680,234,629,
743,751,082,834,791,620,583,892,184,230,091,853,383,439,274,078,438,428,413,
062,789,906,084,847,680,220,725,860,173,132,046,842,687,957,931,858,438,415,
864,810,811,067,019,043,105,271,218,702,011,346,574,185,429,816,193,098,370,
297,259,871,008,423,268,361,943,701,584,038,771,538,803,689,824,490,314,081,
641,147,121,119,227,394,275,726,336,110,958,251,384,474,672,577,971,890,902,
370,257,341,409,881,164,503,806,679,294,695,301,132,971,522,914,496,968,706,
813,664,354,140,870,859,420,088,852,820,188,433,337,211,744,649,595,815,976,
404,203,488,808,914,662,890,777,574,384,069,438,873,319,153,255,578,680,388,
740,734,604,174,996,081,380,671,049,152,607,072,492,957,894,666,797,714,016,
137,799,873,512,779,329,396,831,773,860,397,309,773,987,971,044,078,420,974,
122,625,201,678,163,738,786,806,418,600,540,967,122,954,677,249,222,117,748,
087,560,237,309,611,301,561,474,432,629,308,711,176,757,867,118,053,578,942,
671,018,580,271,342,328,157,677,965,238,935,613,275,768,372,841,650,291,554,
529,115,708,583,886,649,098,434,816,354,404,269,462,222,850,756,045,840,147,
471,085,875,587,274,250,909,610,679,115,786,817,759,876,162,736,848,345,599,
498,858,726,319,638,545,725,438,265,792,742,576,252,641,743,067,155,916,521,
610,038,214,832,127,813,078,293,022,188,651,833,661,263,731,581,306,488,485,
727,924,136,661,042,439,700,034,639,171,596,604,981,227,168,528,603,759,286,
263,930,188,583,856,199,442,722,929,927,191,381,079,024,870,602,394,287,903,
730,919,845,998,816,448,128,210,671,054,403,265,911,129,154,561,724,315,773,
812,159,467,111,123,235,974,076,275,309,055,154,863,186,366,362,733,901,555,
655,115,987,271,678,038,239,040,319,941,470,706,460,469,754,242,345,570,860,
332,415,777,293,623,268,969,209,772,616,411,884,624,432,951,642,164,512,898,
463,818,994,338,098,103,799,421,372,012,548,852,387,269,496,319,650,013,321,
359,536,585,593,915,807,881,911,851,478,916,549,080,278,923,829,297,305,445,
587,021,015,224,645,175,494,565,198,857,824,891,882,504,114,723,699,862,264,
760,517,222,646,097,168,338,198,251,205,955,796,363,732,577,401,156,992,785,
164,220,915,124,978,436,545,185,474,366,964,358,834,679,141,704,367,801,523,
001,171,105,556,872,044,792,828,578,075,786,098,320,875,228,629,275,836,633,
548,656,376,536,849,767,137,424,955,076,764,696,812,194,086,589,934,572,629,
211,253,905,443,427,812,182,396,650,088,488,711,550,592,798,346,940,004,769,
703,032,084,797,371,578,742,957,721,000,251,323,965,742,343,688,993,779,917,
918,018,107,244,102,275,700,922,533,969,369,608,231,416,552,571,068,676,935,
858,180,236,942,888,833,462,364,745,832,918,958,039,013,910,749,766,210,658,
488,312,214,147,140,776,582,834,141,092,050,910,592,111,208,324,521,735,126,
005,393,539,729,091,580,216,127,831,113,362,714,328,661,694,146,700,743,493,
312,987,067,492,790,479,805,361,841,717,204,713,991,502,446,616,367,118,303,
970,311,323,960,567,336,182,491,971,247,443,270,803,242,565,235,113,820,942,
840,058,289,965,093,890,460,086,534,836,873,454,855,218,635,530,948,909,373,
791,514,541,279,072,893,360,910,004,473,712,209,740,908,640,935,617,168,634,
123,662,965,219,218,108,627,626,579,667,185,283,272,639,892,040,039,990,582,
505,884,840,909,428,269,255,346,038,923,492,591,877,939,283,956,173,153,903,
473,235,619,989,948,924,776,574,273,708,618,165,394,328,703,156,008,268,189,
128,624,599,322,500,513,093,961,292,870,651,200,564,788,413,691,985,289,207,
770,533,192,311,583,017,231,906,687,556,393,002,889,435,215,926,958,070,827,
940,252,170,629,749,381,016,523,310,395,705,314,153,476,949,102,077,958,338,
801,396,083,097,590,688,672,882,527,155,532,050,800,694,296,040,021,819,189,
777,025,446,727,013,760,102,633,825,504,306,609,538,640,034,405,028,063,101,
525,461,631,188,661,910,735,955,286,560,264,194,428,623,403,723,049,733,607,
975,143,637,800,194,236,502,692,573,034,961,771,018,054,901,081,230,905,111,
324,479,880,343,017,268,570,220,960,211,031,003,189,309,758,815,605,921,066,
322,492,115,501,568,525,972,914,858,566,730,813,823,737,950,149,820,252,430,
715,928,982,992,083,750,310,040,212,229,225,116,711,203,249,875,702,892,431,
500,507,976,010,407,292,002,563,014,310,314,587,753,956,291,138,074,726,948,
564,764,661,597,137,826,892,272,781,355,296,625,071,259,397,458,565,096,765,
817,534,041,652,136,900,265,962,848,569,534,720,613,865,409,225,789,491,154,
463,947,428,852,243,030,840,003,031,407,972,272,881,676,157,549,485,806,140,
684,006,154,093,750,331,595,370,698,877,574,552,701,582,309,460,653,580,908,
206,613,367,337,201,289,957,886,456,005,669,785,558,648,326,953,752,221,424,
392,324,184,517,373,568,943,857,147,754,134,185,918,286,834,022,641,786,124,
531,129,753,639,867,681,225,134,135,691,132,022,292,820,090,508,654,402,363,
119,646,113,186,371,276,017,608,913,902,173,964,581,450,071,975,739,708,187,
060,454,619,191,348,779,241,976,022,525,540,420,180,201,868,243,833,807,808,
825,116,732,694,287,150,042,707,528,260,418,263,045,213,781,953,012,256,484,
441,443,459,428,402,004,622,231,560,828,775,884,061,584,788,948,329,828,025,
702,844,567,364,122,555,993,259,906,833,233,876,818,915,133,131,463,485,245,
211,092,939,242,959,430,172,859,967,011,523,988,709,471,840,705,658,106,332,
550,163,020,792,244,464,608,113,939,005,300,787,469,136,226,466,181,933,674,
752,723,018,656,812,156,231,860,702,055,236,854,940,369,537,788,342,896,371,
903,763,544,736,851,163,185,055,057,508,886,903,563,487,073,138,880,738,221,
524,685,487,238,845,256,059,939,147,921,037,708,183,654,335,259,881,121,085,
462,440,880,509,942,143,199,402,103,645,815,812,389,501,460,134,494,455,930,
054,731,051,107,833,495,654,743,335,917,508,495,535,750,230,167,486,194,438,
787,811,523,238,404,800,675,697,378,949,039,855,335,303,181,134,628,567,613,
426,113,305,980,605,904,304,063,203,198,441,413,420,987,750,765,937,069,619,
319,478,446,625,892,947,046,188,124,433,890,398,538,457,199,500,894,621,953,
962,808,770,844,090,628,116,533,761,127,183,562,829,028,934,727,589,963,057,
284,220,870,589,051,391,678,730,332,709,688,845,187,453,890,512,733,574,833,
208,294,899,231,934,411,296,706,960,479,408,282,569,929,414,929,821,767,299,
985,223,891,657,956,125,229,453,356,133,661,387,005,843,445,586,402,704,717,
148,148,219,673,101,932,113,760,691,806,836,021,308,470,546,720,740,157,515,
652,277,568,818,995,166,474,152,171,423,812,821,256,478,458,622,231,335,338,
307,773,934,057,993,158,163,671,499,635,270,444,671,290,959,371,843,332,842,
971,390,110,869,125,010,836,926,357,509,239,617,968,029,195,887,686,971,532,
360,149,773,295,093,831,494,295,755,461,247,621,431,602,594,405,733,939,657,
610,318,040,191,904,763,393,048,592,819,571,364,624,390,199,559,671,081,954,
048,453,116,876,315,772,100,675,082,332,966,230,650,324,084,756,898,151,498,
005,422,015,076,267,684,987,410,036,874,578,752,062,805,447,134,008,156,564,
062,907,848,310,600,398,437,200,913,925,493,551,972,493,102,646,263,365,709,
103,132,712,050,402,955,033,831,389,224,450,782,781,532,949,084,065,172,297,
962,985,823,595,999,343,426,008,721,314,259,863,263,768,137,835,361,542,143,
964,026,112,688,790,232,953,338,892,701,508,988,715,595,840,629,784,471,645,
246,404,474,058,767,412,202,222,653,611,096,962,305,403,972,867,854,338,923,
719,165,147,715,105,077,405,429,533,393,616,566,604,476,275,531,075,050,356,
971,062,549,145,660,109,989,304,665,662,513,851,262,200,538,227,328,977,601,
566,841,629,864,891,404,116,990,999,610,487,617,109,322,324,706,120,959,672,
728,726,465,888,117,706,334,997,858,793,008,846,067,063,316,245,797,343,505,
596,260,212,996,315,847,079,097,831,747,235,038,016,487,099,184,057,529,261,
357,433,413,301,501,437,714,009,612,129,608,642,670,747,472,501,194,444,072,
638,062,935,003,821,920,559,972,363,134,917,714,119,602,210,379,861,480,606,
177,836,792,841,061,281,952,818,477,347,090,884,343,561,382,989,390,621,133,
605,176,436,920,157,652,801,892,784,451,536,199,441,691,255,406,129,736,568,
326,003,253,225,579,638,479,207,003,580,435,393,016,899,002,461,297,255,899,
877,176,930,287,534,404,436,470,585,928,131,991,171,486,785,339,553,225,265,
515,666,831,140,089,742,385,797,696,201,257,918,857,400,186,451,192,577,201,
290,941,275,466,328,992,291,275,586,203,977,923,418,920,444,628,180,765,401,
393,818,805,407,253,312,000,944,558,034,682,995,243,133,342,459,817,398,671,
002,276,782,166,010,013,632,679,434,650,148,736,958,260,833,779,247,057,678,
627,419,650,072,605,633,808,895,517,398,233,245,948,245,305,092,787,952,245,
284,477,656,229,529,335,283,653,432,240,142,550,203,671,097,385,511,100,549,
393,731,226,324,206,084,323,945,973,188,651,153,302,287,596,089,967,280,846,
807,519,804,229,845,572,706,075,168,937,751,928,087,861,520,120,998,426,561,
291,410,885,017,098,816,809,275,976,969,039,718,560,223,065,017,779,625,073,
719,525,175,416,770,874,844,009,546,398,878,970,431,957,238,359,274,342,913,
682,484,397,948,336,979,886,195,327,878,807,147,000,834,550,938,995,697,305,
414,937,156,466,650,730,554,049,639,640,008,726,165,530,844,133,870,085,785,
918,670,432,055,730,896,572,779,318,543,925,818,439,363,776,526,521,007,723,
004,220,188,546,654,116,330,170,385,205,465,341,789,441,254,279,742,457,954,
401,395,909,895,820,256,751,822,214,768,359,894,649,975,299,499,724,269,362,
632,465,916,794,048,844,667,445,073,050,161,194,837,847,469,168,056,972,036,
797,852,012,069,185,670,424,359,452,333,012,013,124,217,043,465,909,690,245,
540,391,796,815,366,570,372,889,950,837,328,864,217,786,517,826,372,472,031,
353,086,734,539,634,599,689,701,403,337,202,600,949,382,202,767,705,922,641,
207,098,242,567,090,907,263,644,417,659,234,841,247,872,947,792,398,460,261,
252,775,422,696,051,569,903,675,339,803,267,505,295,495,006,922,220,703,333,
002,198,980,358,299,673,857,532,007,453,483,267,445,279,754,504,589,424,213,
597,481,462,585,513,243,915,667,668,392,692,892,974,094,257,876,893,916,410,
541,013,678,917,254,148,479,937,041,348,008,313,459,221,088,859,964,216,522,
852,713,771,260,945,094,026,410,671,730,628,458,504,547,723,181,414,415,779,
829,162,315,664,921,564,364,043,320,998,973,508,552,180,005,059,458,018,306,
260,733,155,981,550,860,762,786,801,378,839,085,695,285,514,187,669,847,227,
926,622,311,551,402,700,763,949,946,860,175,121,840,045,826,273,066,901,663,
756,525,616,916,965,359,432,813,212,752,419,089,771,467,384,338,085,757,740,
967,311,957,957,741,908,200,340,820,589,704,741,303,984,879,500,070,725,167,
821,991,784,907,127,564,344,771,213,013,060,695,612,048,589,928,608,411,037,
864,122,556,307,625,094,696,775,698,212,957,746,185,699,164,213,040,904,030,
391,751,476,924,540,485,036,786,803,578,419,505,725,873,714,823,469,143,087,
008,135,935,527,727,657,259,655,966,380,574,047,909,885,594,109,851,180,050,
438,101,581,234,360,374,835,460,745,222,958,710,217,928,259,702,490,981,332,
963,140,667,155,992,726,346,003,872,473,681,959,364,080,456,198,053,847,496,
535,172,069,941,671,485,975,969,035,562,534,332,056,910,033,250,876,434,849,
974,517,038,402,188,282,748,970,352,510,299,698,280,871,703,230,471,795,744,
385,959,298,368,369,572,171,476,378,688,861,156,184,407,651,886,258,062,755,
242,946,218,254,162,214,299,264,733,719,426,558,117,868,784,877,386,539,124,
250,785,685,053,217,665,343,213,691,403,281,366,522,598,527,378,705,137,451,
637,283,441,889,994,722,385,588,129,760,113,349,499,655,605,497,374,117,786,
561,797,548,990,276,055,901,875,543,008,845,985,917,883,199,642,194,481,298,
496,191,592,567,133,441,761,326,048,583,703,854,076,872,011,230,198,943,406,
070,163,465,033,667,518,757,600,833,493,651,995,625,942,157,273,290,025,879,
216,441,230,431,910,706,230,742,876,949,763,442,964,309,996,209,331,759,385,
992,548,265,784,243,544,915,384,683,022,954,174,727,237,346,533,329,654,463,
367,295,880,292,690,715,068,303,964,527,429,998,617,336,594,666,174,403,568,
450,369,902,026,759,171,062,748,673,075,963,872,730,371,717,220,218,843,683,
047,466,876,855,914,435,629,844,325,389,280,526,151,865,840,344,484,116,681,
439,510,181,610,906,191,751,306,998,189,889,913,131,558,768,302,987,323,547,
675,089,731,689,784,969,809,883,161,212,548,378,898,916,852,065,307,727,386,
734,128,244,001,939,145,018,313,637,361,112,276,234,042,913,864,892,669,600,
882,976,743,455,114,991,239,492,598,577,936,435,944,849,244,131,792,168,020,
382,751,395,965,737,980,088,962,673,763,836,923,132,258,323,793,507,913,850,
969,816,892,251,774,926,800,028,805,982,487,239,444,178,959,722,045,925,525,
198,602,466,120,241,373,090,704,244,776,675,535,661,394,979,098,458,216,323,
702,411,292,203,094,721,709,335,157,082,439,040,256,813,926,444,267,222,841,
959,507,597,032,176,932,461,862,048,661,142,285,138,032,009,502,895,794,987,
758,494,371,706,670,371,616,107,101,347,465,925,068,534,787,491,531,602,321,
822,034,566,954,321,704,612,516,242,891,037,910,692,218,509,534,740,669,135,
878,521,905,500,500,035,856,850,177,396,932,929,063,948,220,822,917,049,624,
105,897,813,349,638,319,711,255,784,355,242,908,243,830,618,050,943,318,794,
094,581,277,266,173,942,422,269,576,418,310,884,642,750,481,141,800,938,051,
858,646,031,961,777,472,230,127,721,208,219,621,468,017,881,860,258,062,752,
350,268,442,413,769,010,690,630,704,913,362,830,974,887,816,782,869,818,960,
992,893,434,221,847,771,833,209,676,633,975,274,215,578,977,262,887,502,586,
126,158,097,054,107,989,428,152,887,787,127,399,976,194,691,930,717,684,288,
346,163,926,297,795,440,584,357,965,906,298,698,867,928,916,740,581,025,258,
387,568,166,031,240,186,629,102,732,687,786,529,261,148,597,430,266,672,886,
094,955,362,102,904,239,837,554,120,475,730,562,607,668,461,523,546,567,106,
334,522,207,362,313,387,918,028,959,634,855,136,826,375,707,540,519,940,025,
075,976,871,256,001,983,080,664,104,034,872,331,135,452,825,757,894,081,310,
992,123,142,951,834,124,970,298,561,168,908,407,049,715,803,551,921,882,977,
306,137,876,462,161,671,187,207,302,030,687,171,496,714,900,380,008,691,508,
930,812,794,064,712,785,697,974,758,739,824,736,671,050,646,824,472,149,308,
882,023,605,762,739,330,620,163,212,640,510,496,375,106,197,677,880,104,834,
336,872,315,712,512,354,497,150,227,174,827,024,057,607,362,138,731,490,594,
250,678,836,675,637,135,300,550,540,358,195,739,275,060,885,132,602,272,284,
965,824,281,646,974,965,952,034,926,605,551,221,896,770,086,780,487,572,539,
347,669,647,105,828,988,588,756,486,624,743,262,132,716,661,511,526,807,952,
887,606,867,232,273,996,566,727,789,031,825,544,654,517,846,434,380,660,542,
991,187,546,391,418,527,263,513,825,464,231,807,355,483,918,827,319,066,295,
834,018,092,707,518,313,946,968,163,699,415,165,218,549,222,195,299,418,267,
055,369,334,064,159,460,221,731,759,107,826,650,508,420,558,969,576,351,089,
501,436,294,412,626,664,058,429,225,537,755,129,224,582,360,705,064,515,890,
632,732,522,721,916,356,794,877,206,666,669,352,785,433,199,839,859,376,763,
719,769,594,916,723,451,585,947,830,826,920,447,901,275,744,516,527,492,685,
502,347,439,111,557,952,176,027,438,544,845,981,486,945,743,016,526,745,610,
655,960,991,899,681,269,901,889,859,046,216,157,160,629,015,937,001,232,610,
292,341,474,829,360,406,816,150,835,794,811,191,439,165,122,599,770,277,203,
619,948,587,764,095,010,986,605,323,654,958,737,910,662,278,583,513,330,852,
958,257,088,386,270,655,676,299,069,238,337,160,312,859,277,883,068,901,950,
066,586,391,833,573,390,632,224,651,702,881,583,097,307,581,829,148,973,055,
126,874,935,886,817,189,073,728,406,129,644,019,424,555,103,633,691,358,923,
885,095,515,957,813,911,323,018,056,811,770,135,573,656,282,080,339,854,887,
332,395,008,785,480,075,232,451,408,769,551,426,060,022,879,963,958,527,784,
626,936,906,926,661,683,846,841,524,808,342,927,833,138,397,018,503,479,581,
905,636,258,170,828,856,654,762,593,720,727,534,460,508,418,395,950,176,813,
318,630,173,696,286,161,016,808,990,037,477,150,696,607,929,439,363,897,156,
656,025,418,865,470,836,021,119,875,031,275,571,400,732,221,582,444,803,574,
010,676,552,233,393,635,027,798,318,972,436,719,524,380,898,642,941,308,504,
278,387,874,669,312,600,303,252,249,588,985,655,194,368,812,055,703,956,334,
244,430,345,270,074,096,118,150,221,395,991,257,406,509,376,130,322,658,338,
129,202,354,708,219,374,673,373,873,554,314,255,377,749,645,039,139,181,990,
453,560,335,613,719,666,122,441,933,114,541,416,387,802,805,608,638,602,624,
968,612,411,032,955,797,427,266,423,857,437,168,609,910,418,014,670,579,513,
683,037,054,196,295,775,500,511,301,212,205,792,747,464,722,002,059,527,982,
138,119,433,353,053,373,655,784,159,075,424,481,969,543,011,737,084,950,139,
687,453,698,678,889,435,117,091,895,341,893,955,913,758,616,263,999,413,381,
195,312,716,282,498,146,709,319,178,941,777,335,601,679,080,607,159,023,011,
961,137,013,433,623,681,894,937,166,713,077,182,187,813,484,492,012,818,541,
402,084,566,511,178,739,913,914,486,749,494,083,552,371,606,995,768,419,890,
270,828,843,802,068,436,256,744,038,136,875,975,069,678,789,243,964,010,515,
718,784,014,357,806,876,772,781,836,451,876,378,036,990,897,263,319,471,651,
288,201,565,490,493,912,986,950,487,288,213,364,832,619,720,037,957,921,523,
818,429,843,864,002,136,927,423,910,715,956,491,385,712,273,076,987,539,090,
528,177,326,090,333,574,379,861,802,795,638,521,918,363,548,726,362,168,863,
835,124,987,482,399,526,479,567,377,596,199,041,709,998,299,421,925,601,535,
350,019,745,367,035,844,504,026,977,260,791,361,427,805,313,842,947,737,672,
397,500,717,036,730,515,378,595,379,258,289,427,637,575,219,045,811,646,768,
999,337,865,632,210,115,583,220,087,817,992,080,468,798,185,566,670,621,267,
232,931,100,699,171,111,709,148,937,438,041,804,976,899,628,344,146,721,494,
780,438,173,588,899,656,221,665,789,896,753,995,377,582,360,412,383,655,998,
737,261,408,377,310,117,194,033,658,241,237,934,568,807,966,612,347,023,255,
788,954,284,001,160,756,548,839,796,312,016,080,620,136,589,106,704,741,790,
498,486,654,539,136,631,394,737,383,181,736,044,387,242,570,474,366,924,837,
186,997,095,382,010,176,750,109,808,933,620,399,557,028,430,755,855,468,033,
324,199,090,473,607,812,409,377,839,919,947,560,100,137,967,727,787,488,968,
838,344,131,941,540,963,899,011,383,440,653,068,762,390,401,350,346,183,039,
823,571,459,120,200,392,714,529,549,972,881,942,826,374,441,322,399,857,283,
791,869,815,168,984,519,871,846,248,733,949,761,546,096,641,145,042,447,781,
395,841,006,117,159,850,545,902,543,990,254,192,249,393,793,238,856,045,376,
504,070,307,840,339,711,682,822,819,006,752,708,343,746,420,058,209,145,190,
028,565,114,808,237,736,303,109,959,444,801,686,306,906,069,903,127,426,133,
981,953,040,334,983,421,318,774,451,943,275,337,785,385,481,902,716,622,290,
133,090,366,536,125,680,984,894,228,172,378,043,480,174,900,508,510,562,651,
769,778,208,915,706,679,835,154,238,153,972,935,786,841,762,992,031,023,205,
921,848,329,008,334,136,888,079,160,656,553,128,484,520,664,557,888,920,862,
888,140,845,758,217,465,247,325,635,596,626,459,955,056,908,112,492,506,448,
896,411,099,354,805,342,799,216,900,783,688,997,712,058,716,465,243,693,104,
952,532,800,192,785,448,117,321,814,484,141,087,609,485,866,826,907,257,551,
795,531,338,456,792,414,790,720,960,783,530,598,181,105,104,112,001,476,595,
964,801,906,141,979,720,054,313,577,848,753,229,026,834,238,873,738,174,038,
519,672,992,256,956,346,960,923,109,955,871,289,387,259,858,684,602,961,898,
444,209,940,769,518,686,129,197,759,408,305,540,011,089,761,359,994,342,707,
357,235,189,335,338,604,453,926,118,067,482,533,080,716,614,701,088,781,225,
121,738,862,269,128,420,440,322,188,873,482,788,973,726,514,963,863,552,726,
340,105,722,841,153,032,136,582,189,627,548,254,069,795,290,265,730,747,535,
961,171,632,975,559,920,298,508,708,820,208,840,464,857,780,636,289,364,542,
060,695,619,389,656,572,670,938,934,743,493,569,336,944,634,135,317,456,215,
254,420,373,645,293,208,050,154,617,273,122,570,993,448,244,561,770,430,846,
184,165,832,085,432,945,930,357,941,869,736,299,183,688,930,960,976,337,995,
711,974,959,380,139,782,283,653,683,393,162,795,258,310,471,180,328,861,571,
957,338,142,889,861,058,021,503,734,513,108,757,540,461,885,195,868,813,372,
512,663,489,090,264,493,833,719,177,791,431,380,603,844,526,268,192,325,512,
917,256,400,594,024,170,556,468,096,820,233,165,384,897,802,586,652,270,622,
209,417,689,022,217,807,943,530,087,072,943,571,809,050,837,454,076,477,855,
649,187,409,921,424,750,946,540,412,595,411,376,293,418,903,289,451,105,597,
836,862,669,565,204,159,368,334,872,194,102,237,346,302,005,930,237,136,046,
212,343,277,444,671,751,300,364,595,057,324,896,923,622,302,945,085,119,035,
131,197,856,003,879,786,824,018,425,388,645,619,953,052,411,946,432,810,326,
789,480,473,543,813,157,936,969,595,856,903,425,722,012,587,090,966,149,229,
009,111,612,761,326,307,743,402,314,158,026,851,307,734,452,571,627,882,530,
043,142,791,681,207,113,350,562,765,696,858,923,479,370,257,655,173,468,754,
758,992,200,510,609,511,538,149,911,969,620,699,349,932,491,863,735,135,308,
951,275,618,633,644,589,581,764,767,021,656,406,146,678,628,885,927,377,872,
431,587,018,753,671,747,800,931,017,691,806,315,732,817,581,808,478,977,919,
464,686,132,969,003,637,986,543,357,397,382,366,530,094,287,349,088,725,508,
367,902,155,615,605,351,209,675,242,618,048,460,464,098,580,273,863,362,927,
919,639,809,076,969,338,700,471,222,823,469,238,312,397,258,953,625,807,607,
943,704,282,414,823,093,217,615,579,092,283,817,036,079,222,657,990,417,830,
965,583,698,485,957,510,149,843,389,488,392,063,815,825,921,905,234,451,543,
013,243,926,685,899,660,535,850,191,953,528,990,324,543,719,936,571,483,638,
728,372,798,386,600,527,775,127,169,451,509,458,779,546,651,375,965,965,941,
363,240,502,650,826,270,690,952,080,759,833,364,599,377,291,228,819,854,271,
423,510,202,398,341,052,822,213,111,143,755,849,895,361,718,042,759,312,664,
714,818,588,252,682,289,475,910,674,865,154,494,718,371,184,394,010,411,617,
494,763,725,251,545,772,205,444,609,726,068,170,723,977,615,761,536,464,074,
337,686,916,920,967,413,072,163,959,664,280,336,111,047,389,162,778,573,297,
973,966,053,573,473,081,267,155,883,369,655,976,583,925,669,888,472,196,979,
598,809,388,705,039,462,227,285,961,024,138,748,910,570,755,601,508,113,760,
086,823,598,297,373,224,117,168,579,137,804,288,214,400,628,105,971,163,480,
705,703,873,420,302,857,148,355,268,379,981,889,608,511,925,934,152,482,902,
057,074,103,588,053,881,639,560,887,896,990,072,756,563,090,095,685,671,494,
460,585,148,733,999,294,451,596,109,550,494,642,637,390,442,769,249,096,689,
741,053,765,532,194,844,082,671,317,836,017,159,232,403,354,753,320,841,051,
984,305,953,710,121,622,389,110,438,979,738,279,270,741,942,671,096,574,560,
865,315,782,382,202,506,570,687,896,050,652,812,471,343,276,817,966,683,372,
768,092,381,969,035,993,829,375,653,454,227,804,036,906,992,158,908,473,026,
650,902,084,674,226,742,812,759,595,125,960,546,710,079,504,434,966,739,604,
338,443,345,228,339,316,516,615,685,074,583,723,528,306,892,459,711,587,057,
617,322,528,416,481,600,818,191,981,102,613,911,816,336,605,887,016,880,157,
216,884,865,200,441,927,738,640,495,031,894,070,305,636,992,278,843,615,724,
576,110,526,346,434,129,637,573,642,555,436,934,245,997,297,592,157,946,897,
143,362,885,250,720,144,987,493,128,680,445,344,967,284,988,987,184,704,440,
142,366,800,626,448,181,564,596,641,907,879,739,397,468,689,021,434,069,904,
351,368,164,972,021,623,024,565,391,385,737,591,623,497,397,472,096,140,778,
818,338,366,844,545,581,723,822,590,976,277,087,024,910,953,214,240,385,638,
091,963,147,079,843,441,500,203,852,375,225,709,465,486,357,945,145,643,110,
990,966,191,700,004,741,845,614,861,440,231,414,183,982,168,253,131,488,897,
610,049,556,137,784,131,004,046,753,354,291,085,920,599,177,014,025,812,570,
006,369,879,280,643,640,407,046,264,819,598,731,219,232,721,935,051,869,487,
680,492,572,671,092,433,609,137,785,699,612,588,079,500,077,718,254,417,530,
210,139,860,356,372,634,308,604,834,966,148,159,936,019,425,676,891,387,726,
662,890,397,749,012,036,318,852,674,396,776,576,332,818,956,558,258,529,551,
153,843,966,258,315,050,437,605,883,434,370,272,347,521,137,773,864,977,434,
896,228,949,790,982,209,126,160,934,575,178,062,656,825,877,759,045,005,389,
333,915,620,672,654,405,187,562,224,673,514,064,841,191,263,259,075,447,497,
551,577,173,277,878,969,228,910,276,127,861,763,574,040,025,248,360,189,753,
483,265,127,641,590,084,245,950,704,023,329,520,763,103,505,148,326,025,808,
678,542,792,976,885,006,764,943,031,069,949,117,425,971,871,914,567,537,678,
892,958,449,271,852,139,306,118,433,994,322,679,764,263,464,031,047,647,387,
141,343,846,025,607,859,188,830,871,966,969,478,986,105,404,111,523,556,269,
834,211,099,910,979,076,435,712,113,438,781,759,578,587,985,000,526,771,372,
704,704,281,889,350,701,036,753,547,823,848,401,549,316,020,761,733,128,416,
794,245,842,827,904,331,892,927,724,311,486,047,238,616,035,915,403,965,026,
849,937,336,687,272,807,720,686,796,679,496,479,668,846,887,282,914,024,742,
704,865,395,967,142,057,341,794,654,302,508,584,325,001,835,867,054,167,460,
565,754,468,504,832,664,266,573,790,324,239,903,421,762,294,196,631,929,474,
725,348,311,868,687,540,956,671,299,185,373,255,348,586,694,411,128,405,179,
765,351,673,362,060,744,309,145,488,097,332,923,418,110,356,577,157,189,756,
230,166,151,542,412,377,243,486,591,516,365,886,815,183,534,645,200,247,192,
911,953,283,527,073,529,635,666,267,292,853,901,888,234,638,545,461,223,225,
763,106,554,062,958,342,281,745,162,011,037,753,515,477,162,200,103,814,537,
789,268,200,466,943,392,122,163,902,945,258,264,449,122,227,117,915,834,008,
232,481,859,874,659,337,128,638,558,511,830,381,030,167,499,703,191,193,367,
051,171,919,389,766,869,717,450,265,813,959,878,425,120,289,178,838,460,116,
797,877,711,632,463,152,043,983,982,010,024,256,756,412,164,680,677,195,737,
261,392,832,596,355,626,949,421,974,742,943,217,636,108,549,338,890,622,258,
735,415,747,991,100,064,605,288,305,782,029,870,317,877,882,723,302,659,070,
943,401,452,139,359,187,524,973,597,112,717,647,499,719,547,085,589,972,055,
553,653,441,678,795,049,119,928,172,418,194,469,368,582,587,361,104,926,064,
925,612,127,216,288,288,841,719,214,518,133,749,899,724,242,597,931,827,707,
010,289,174,448,215,359,004,343,744,454,699,288,389,843,951,651,726,099,244,
879,069,355,597,497,394,027,159,293,552,052,943,121,581,085,623,083,452,900,
009,809,762,920,602,427,052,593,417,187,040,608,059,413,764,703,371,277,795,
560,689,479,786,964,147,966,600,025,088,974,173,196,333,424,341,241,299,013,
025,481,123,515,576,009,467,060,639,449,206,709,583,109,538,902,109,212,747,
846,915,803,257,954,409,326,057,285,205,993,701,662,560,677,306,461,673,365,
338,026,272,718,514,343,251,057,061,372,898,182,511,534,852,075,986,391,056,
389,397,620,023,029,584,688,424,537,854,650,613,620,012,075,879,034,077,205,
970,697,765,625,693,335,864,820,569,936,616,133,142,442,410,031,279,933,306,
018,466,255,035,808,645,518,724,698,571,105,415,283,209,454,822,050,344,324,
099,359,217,782,778,446,832,826,111,668,201,331,919,935,939,602,773,136,674,
635,877,156,612,326,589,211,295,488,358,154,541,239,034,751,315,337,236,860,
915,933,924,282,012,372,342,018,764,916,118,030,830,726,408,970,017,964,774,
651,976,858,764,798,678,703,664,490,922,372,952,407,877,410,207,700,192,852,
332,879,041,670,207,824,957,457,508,174,485,240,739,562,799,814,631,546,158,
326,346,488,484,311,020,474,369,278,390,486,470,792,114,224,010,422,029,801,
213,409,172,269,034,361,891,792,814,568,699,342,824,539,513,715,232,059,811,
417,643,685,299,529,001,443,335,613,233,343,796,085,140,846,317,828,636,323,
614,193,871,748,833,655,757,236,408,865,065,892,765,722,907,695,727,454,441,
297,127,632,189,550,759,926,971,528,502,499,415,266,333,383,319,000,334,462,
647,012,239,690,178,557,052,762,023,969,510,559,075,037,596,955,387,734,800,
611,500,388,106,197,092,946,627,288,674,994,296,003,824,432,915,939,923,040,
528,679,818,077,444,342,295,768,194,812,670,813,843,212,361,148,731,368,791,
223,191,558,009,098,145,895,421,702,341,674,204,008,346,469,294,869,403,595,
346,367,324,804,554,107,610,537,092,616,203,781,440,258,271,586,401,813,083,
527,684,319,371,593,655,521,487,595,401,051,960,575,618,029,505,993,414,985,
499,163,660,486,326,432,484,477,429,295,060,880,356,562,800,509,827,085,744,
226,848,044,570,780,168,421,150,636,203,381,071,529,684,778,333,378,562,277,
038,303,530,775,969,858,940,195,272,608,971,051,467,190,201,231,330,522,080,
670,488,774,190,471,492,035,766,225,333,086,964,418,059,210,267,904,621,118,
618,166,859,775,668,411,645,520,870,197,735,150,570,937,234,972,559,582,852,
945,535,130,404,912,739,135,528,265,817,465,107,965,302,500,079,892,084,520,
957,208,846,658,117,403,507,356,519,083,450,587,867,648,973,188,730,531,460,
548,773,571,704,039,906,839,257,059,596,907,075,793,427,113,248,659,536,105,
986,622,327,685,574,566,192,032,789,004,492,336,830,855,118,897,267,725,624,
265,485,783,382,177,416,352,034,453,410,295,321,377,736,518,119,634,366,461,
618,880,041,809,299,426,767,720,372,186,921,869,659,900,163,356,231,593,303,
214,277,726,779,082,205,882,045,610,791,602,396,793,666,640,121,351,295,755,
809,493,907,699,081,492,445,687,293,288,767,035,150,023,944,206,574,997,224,
896,645,964,140,586,050,357,450,803,495,904,216,709,792,170,855,996,881,238,
557,032,556,032,323,484,283,567,547,470,953,949,706,190,519,067,466,343,494,
129,234,488,737,939,134,079,919,438,954,081,815,567,971,971,537,131,783,654,
867,840,256,291,492,227,559,377,958,427,717,839,753,325,074,802,715,508,646,
211,937,616,483,289,208,434,968,188,247,271,727,885,309,609,092,242,890,396,
340,821,477,560,486,857,315,950,920,087,331,360,000,812,949,202,596,348,706,
789,620,375,391,453,537,343,156,758,261,748,939,909,839,470,409,038,787,942,
061,247,905,819,608,560,011,962,867,143,587,173,263,886,863,494,664,063,622,
371,898,843,035,954,788,201,099,449,499,187,023,430,609,454,526,350,641,678,
249,803,595,706,002,462,079,169,368,883,653,105,705,566,197,676,122,575,032,
446,613,166,767,912,388,686,501,128,253,198,973,810,020,795,144,294,402,469,
477,266,909,722,507,606,165,064,656,384,809,192,810,343,516,259,431,590,411,
604,156,485,039,144,529,412,106,817,638,835,503,853,020,037,786,343,612,005,
337,260,691,523,990,340,572,178,524,803,748,316,064,108,605,632,229,648,497,
720,717,356,483,104,191,500,349,464,174,354,662,125,110,015,292,739,699,387,
210,239,865,770,751,081,529,270,568,660,417,454,656,687,111,230,253,500,179,
108,063,191,510,091,976,464,025,029,172,960,170,506,489,887,979,310,875,714,
490,416,664,157,259,627,971,864,814,269,492,966,359,186,319,651,906,822,498,
537,293,285,478,940,654,847,702,029,923,203,997,140,071,123,173,551,313,613,
330,460,607,763,238,037,774,563,525,091,100,186,096,212,235,034,689,843,297,
010,227,600,518,497,451,032,896,117,327,223,876,833,780,891,186,104,419,620,
021,315,957,761,227,740,630,772,648,706,020,804,751,442,431,211,781,080,924,
504,623,398,004,078,405,850,430,286,723,663,949,444,880,533,329,127,550,833,
121,132,657,218,905,562,876,060,718,883,359,892,906,319,322,589,681,130,544,
338,748,694,909,141,215,116,414,820,108,976,409,353,988,579,041,379,425,399,
537,930,212,542,082,399,924,816,305,711,153,941,334,338,989,988,174,555,633,
005,264,261,005,041,046,686,237,765,218,373,338,762,041,171,510,626,126,742,
660,784,087,281,889,161,463,867,855,935,898,306,056,527,333,014,440,464,508,
056,471,021,922,708,776,803,829,760,945,202,538,323,039,443,582,449,200,582,
664,343,136,994,101,286,839,694,023,822,782,454,701,648,839,256,519,464,293,
622,015,442,285,200,842,937,772,158,236,631,469,786,998,853,750,534,656,619,
538,715,554,898,492,422,439,841,901,893,266,062,163,627,923,263,671,564,400,
557,555,723,534,359,255,189,507,887,650,231,030,904,634,904,057,491,252,033,
339,965,191,055,782,612,718,482,045,454,307,472,101,436,790,397,579,573,666,
739,045,435,557,160,091,040,724,485,238,731,108,004,839,977,237,661,694,916,
510,519,527,174,296,584,646,811,753,000,531,684,584,379,428,675,846,340,462,
880,074,937,002,238,645,727,730,064,190,208,350,119,462,828,749,695,480,633,
886,114,861,105,759,213,699,148,196,097,803,407,701,700,268,705,433,318,372,
909,243,431,597,544,678,294,881,266,428,952,833,222,118,663,586,301,374,562,
892,413,911,744,170,873,359,115,272,330,912,748,556,289,404,110,863,677,605,
880,616,342,635,645,690,594,490,303,501,143,136,355,930,508,141,585,590,656,
287,567,203,519,701,788,439,184,992,363,218,953,475,221,515,225,804,758,712,
026,747,872,400,211,268,594,723,740,040,238,656,989,431,940,475,962,019,490,
596,324,433,597,432,130,828,014,249,672,437,042,987,022,394,768,987,520,629,
835,071,610,825,446,731,428,780,567,077,557,264,107,996,021,038,081,549,489,
884,066,730,814,278,628,366,366,868,502,192,006,501,750,708,572,644,410,679,
600,551,598,227,899,077,441,041,003,189,248,860,425,736,680,581,262,955,750,
204,063,716,119,307,693,942,609,919,206,857,387,290,332,036,386,954,795,685,
578,748,532,049,238,383,085,894,779,293,200,644,734,127,557,681,072,073,818,
154,789,946,297,874,950,444,650,382,093,119,251,617,732,004,628,581,590,526,
731,710,497,134,355,614,157,686,193,226,653,615,999,057,670,064,082,751,747,
067,001,205,415,895,928,558,064,449,588,055,447,426,531,652,441,661,907,849,
264,760,070,919,063,111,128,103,575,596,025,315,806,011,863,681,591,513,049,
188,786,325,872,348,493,660,565,786,502,978,718,097,351,427,866,772,264,634,
389,325,567,518,974,069,223,458,344,829,739,800,281,488,047,307,097,704,729,
291,498,296,987,308,219,396,132,182,763,904,655,191,824,858,537,785,386,383,
662,207,715,625,568,923,767,625,821,565,433,252,399,418,609,606,819,609,191,
894,415,337,497,370,583,440,909,922,419,459,634,354,151,984,111,202,528,790,
705,166,991,160,886,089,391,078,934,530,669,603,166,852,465,087,488,639,998,
364,550,982,800,986,059,097,989,587,716,270,342,740,855,074,668,188,944,905,
081,240,097,879,746,876,931,053,264,355,484,888,959,641,746,359,988,330,093,
277,878,697,681,580,057,410,323,955,488,814,146,380,620,409,937,926,798,642,
567,467,204,808,570,758,859,416,217,731,260,125,421,117,128,088,126,951,506,
890,904,476,094,114,436,259,788,676,517,203,732,688,421,818,150,334,920,469,
638,168,863,181,811,200,245,297,143,951,313,878,207,363,975,289,288,119,478,
598,582,855,460,999,786,861,285,319,212,825,509,411,737,689,810,562,408,679,
794,049,883,305,056,284,672,442,338,599,788,808,320,013,405,993,078,647,094,
125,802,822,151,174,423,474,137,489,404,115,753,699,940,300,190,836,529,421,
656,962,502,255,784,320,585,886,366,122,782,532,899,611,110,727,126,014,404,
103,734,825,362,989,398,935,362,275,454,065,733,431,998,689,063,135,223,071,
433,992,765,219,418,941,712,840,597,469,277,715,290,011,633,810,083,066,526,
863,999,086,276,752,232,613,294,537,907,527,060,935,917,858,468,130,932,307,
080,950,527,482,101,230,716,931,873,101,185,461,367,388,388,629,076,691,033,
780,148,083,097,269,879,770,256,244,353,821,463,125,117,781,872,552,017,314,
103,893,322,340,813,433,323,641,566,726,184,327,166,616,167,918,533,570,623,
516,299,884,373,884,566,873,601,465,237,335,840,092,205,103,909,209,678,072,
060,341,655,131,682,895,201,372,328,511,011,304,047,537,301,163,719,680,063,
880,415,699,753,993,466,595,086,730,156,100,052,652,495,682,595,003,387,785,
289,200,832,509,957,600,105,715,711,391,803,411,674,116,159,259,207,131,422,
783,328,387,393,712,041,826,014,618,824,037,850,140,456,228,313,035,876,378,
987,732,797,831,993,072,980,639,602,339,091,554,766,821,669,537,328,831,738,
493,603,173,379,868,971,986,492,112,137,054,088,016,727,899,817,634,356,069,
624,879,929,288,681,570,166,614,157,317,949,145,065,095,681,507,560,554,545,
879,698,253,856,355,999,707,327,997,437,563,657,464,626,396,324,335,118,891,
617,089,684,795,207,988,839,762,736,111,759,499,248,406,462,533,753,242,379,
493,757,494,793,210,926,492,962,409,447,021,794,554,431,504,873,273,232,442,
994,598,684,308,196,761,769,412,886,991,602,682,018,062,670,917,672,917,434,
009,091,819,463,836,217,935,980,575,505,367,754,558,386,332,142,168,694,576,
521,448,737,742,742,327,374,370,622,223,680,818,996,907,807,996,415,713,491,
355,916,922,351,414,756,119,886,128,111,582,395,341,765,144,206,972,909,329,
180,873,296,934,221,514,349,850,199,340,686,550,891,818,216,522,097,410,729,
357,005,359,495,660,076,848,104,329,111,940,544,857,675,199,357,987,389,637,
014,924,313,968,357,108,654,498,167,251,188,316,684,199,252,943,443,903,780,
955,229,258,255,658,161,298,218,281,719,614,323,576,178,639,063,349,278,476,
442,853,010,539,008,297,136,623,397,496,126,496,797,486,813,507,633,043,181,
904,728,672,069,895,703,131,307,005,930,130,225,395,122,866,645,083,666,663,
835,085,689,179,788,860,698,220,780,774,868,416,824,259,237,198,556,398,167,
269,118,107,412,024,489,410,865,342,824,548,503,131,472,332,332,343,875,212,
635,877,572,642,305,056,565,407,659,440,872,829,068,876,174,805,388,543,967,
754,893,708,622,831,339,561,941,525,766,663,964,553,982,869,220,149,089,574,
812,973,743,855,225,141,555,602,402,439,589,453,487,111,801,188,625,051,905,
823,477,743,514,963,193,563,515,908,210,327,440,420,026,346,564,541,535,076,
092,356,769,858,523,980,128,348,046,883,942,365,214,409,312,567,080,042,739,
904,631,358,856,493,713,167,312,179,567,120,146,598,073,906,317,025,514,160,
852,624,217,187,408,753,660,031,533,053,671,058,415,580,240,694,344,237,620,
405,767,153,484,876,983,067,018,029,862,652,088,476,569,100,305,046,140,018,
890,563,022,953,834,128,931,436,197,529,584,069,195,551,913,659,422,471,673,
428,534,557,235,808,333,780,904,602,392,438,908,385,306,250,701,743,381,050,
193,576,412,429,201,995,620,085,750,167,852,093,985,265,815,177,504,224,649,
979,976,794,647,419,314,222,115,358,174,219,485,205,351,780,755,972,558,018,
614,430,657,915,403,234,359,109,087,563,422,021,974,584,532,184,342,059,790,
089,407,573,420,476,223,073,178,483,511,983,230,354,421,504,648,574,109,522,
065,602,152,898,146,198,609,647,040,370,816,106,566,123,432,892,111,472,427,
473,163,454,905,823,465,689,724,993,203,037,133,582,598,623,297,102,161,623,
511,272,127,898,885,599,668,323,636,814,040,935,168,433,167,695,105,647,436,
861,600,485,218,301,107,271,957,755,564,959,391,386,539,000,449,032,340,849,
193,716,083,464,236,736,728,520,348,077,991,182,929,716,444,666,203,485,249,
915,325,980,041,962,522,951,114,307,563,314,113,277,992,625,182,912,210,960,
013,585,834,405,823,678,844,730,131,680,466,878,745,825,406,707,681,511,904,
996,911,293,362,700,677,906,792,619,777,933,325,577,076,380,163,013,211,695,
658,601,223,985,045,807,483,921,647,291,109,702,615,411,481,227,946,996,966,
304,336,161,876,165,306,569,619,294,349,351,234,327,884,181,350,035,675,163,
947,757,402,355,712,208,533,200,228,856,687,803,355,381,639,841,338,349,591,
073,518,497,138,083,649,770,824,517,872,344,724,689,627,859,611,313,641,841,
654,872,328,604,002,380,690,171,476,159,272,916,247,544,276,787,396,876,844,
612,293,666,971,277,838,773,140,282,926,972,186,095,696,996,151,584,581,746,
488,087,079,400,938,433,540,284,144,311,542,543,838,493,315,613,029,195,699,
105,904,411,339,270,164,165,876,794,835,835,294,583,478,393,529,186,322,858,
590,771,686,180,844,059,214,009,220,029,419,465,655,619,481,394,003,648,317,
519,720,655,927,354,440,862,564,842,837,516,004,950,266,335,406,399,660,819,
253,890,011,047,444,887,957,416,216,669,498,972,632,149,607,436,805,921,100,
689,562,193,240,474,332,292,842,466,977,990,921,641,760,395,014,148,112,508,
178,990,212,612,095,107,829,205,602,307,428,217,660,037,848,263,467,958,889,
250,274,391,323,176,557,465,437,108,228,835,031,809,571,511,388,907,389,139,
539,398,175,437,053,139,753,678,601,414,973,421,047,944,976,425,913,117,597,
601,601,117,278,393,589,664,785,480,763,273,361,638,581,170,515,124,775,111,
264,397,379,093,813,805,396,916,507,910,766,204,444,338,986,719,204,328,844,
147,527,843,922,681,750,094,169,723,732,797,794,894,287,810,661,552,650,913,
204,539,898,668,993,152,425,627,290,793,876,779,573,517,189,006,067,184,895,
702,364,598,974,736,377,807,753,233,973,094,375,121,545,059,614,145,195,004,
240,141,978,716,881,891,173,727,419,317,438,145,847,265,039,799,947,234,244,
608,375,238,638,440,045,143,107,917,626,227,468,936,812,772,649,369,789,666,
855,226,406,692,301,445,042,196,562,781,336,087,333,511,019,700,588,931,798,
273,524,251,985,550,693,311,072,911,082,639,388,097,590,396,428,931,803,553,
767,577,145,746,824,180,913,672,939,035,574,608,241,813,797,654,736,605,997,
303,164,500,277,990,762,857,380,338,809,633,215,827,826,370,442,761,479,011,
475,962,765,018,000,413,914,653,279,702,303,357,882,204,299,024,928,235,514,
561,483,726,985,762,366,699,625,056,733,401,236,517,344,388,463,574,235,327,
993,143,509,204,916,144,538,139,256,165,058,249,703,228,466,771,355,264,587,
164,293,022,293,364,872,103,881,388,136,991,801,666,020,724,948,417,485,914,
272,536,076,572,632,124,547,734,278,998,641,740,902,859,800,332,689,603,409,
057,312,249,059,902,653,367,885,626,343,388,158,273,659,240,561,232,868,826,
805,879,822,138,528,996,594,899,946,757,176,818,278,782,166,034,414,945,997,
551,566,605,861,260,662,240,909,413,188,593,745,631,461,110,546,533,140,816,
318,078,686,297,618,083,738,157,708,642,726,384,488,025,203,830,123,055,438,
952,897,808,680,123,009,208,768,088,211,160,868,049,790,265,542,407,330,406,
420,197,761,339,065,193,725,253,405,074,663,475,852,472,700,930,623,560,072,
871,257,945,608,422,792,056,379,231,283,504,509,170,469,538,428,913,453,188,
130,048,390,424,661,842,954,516,009,781,398,822,212,522,810,957,119,049,940,
047,105,373,734,635,120,786,089,009,383,243,928,116,462,384,292,229,187,346,
948,379,737,734,458,701,828,295,465,786,284,055,489,025,879,838,282,601,658,
973,361,421,564,143,626,680,223,459,549,134,652,964,746,427,574,447,348,371,
575,202,628,479,218,701,464,031,668,189,133,047,569,150,569,521,096,615,387,
430,823,667,722,132,653,977,415,644,175,900,714,630,908,122,900,047,195,030,
344,853,519,974,640,926,365,026,380,593,400,456,236,185,232,539,532,217,648,
477,956,735,486,528,419,028,904,981,313,184,890,749,111,301,408,087,028,868,
638,555,646,490,889,208,756,229,372,446,786,041,645,681,979,112,131,143,040,
044,298,029,177,984,324,607,596,636,356,277,119,111,138,494,202,704,002,779,
369,334,155,545,362,761,010,541,149,984,521,902,639,524,221,968,021,033,490,
384,605,133,278,950,478,227,234,875,246,255,923,724,655,792,356,100,328,935,
978,472,290,189,535,971,842,239,777,361,660,713,831,232,385,531,590,125,033,
774,190,702,223,322,041,427,547,309,461,280,201,339,161,655,439,771,712,519,
767,911,717,999,637,453,175,221,241,338,936,753,221,212,795,545,593,401,775,
113,233,383,012,545,818,291,953,719,199,019,898,251,546,534,203,439,168,239,
855,086,099,231,257,145,771,414,792,618,079,190,517,101,662,466,929,199,666,
091,027,024,904,044,196,796,583,574,194,630,045,550,738,108,968,908,464,773,
257,740,204,026,142,942,431,460,168,071,328,610,371,291,458,520,098,548,992,
032,161,713,618,855,819,638,898,736,794,767,221,485,189,635,274,240,167,521,
871,000,735,231,122,249,347,369,583,161,450,580,441,995,429,013,118,842,781,
907,812,382,672,622,897,791,208,509,614,361,630,493,028,875,057,317,283,286,
874,447,697,613,760,257,922,638,112,870,722,056,745,721,790,166,449,739,981,
564,437,290,378,400,522,025,158,476,126,668,921,643,412,660,766,141,785,867,
827,107,228,572,518,646,288,410,740,559,618,571,877,127,630,096,159,105,408,
837,870,666,613,231,025,266,265,776,871,388,500,821,426,845,580,233,486,327,
168,482,360,673,459,812,558,114,068,967,748,330,118,082,988,915,640,081,092,
701,605,279,991,163,713,702,550,225,641,992,511,600,688,807,688,119,819,566,
523,414,117,466,063,896,849,445,412,612,234,284,983,095,361,223,568,797,970,
461,068,853,325,245,559,448,580,966,110,054,220,995,345,629,269,564,118,394,
572,365,695,952,157,562,667,970,852,258,543,716,558,877,422,003,936,109,653,
658,100,485,887,518,048,206,432,763,770,452,627,895,844,996,328,438,578,219,
089,014,831,130,369,999,452,368,517,279,983,649,968,363,049,294,326,861,354,
709,842,079,919,756,420,192,299,463,078,744,986,809,019,485,926,678,348,973,
287,845,610,953,179,406,649,899,094,366,985,048,904,708,960,287,112,826,274,
056,938,378,153,116,809,027,718,983,106,551,649,377,117,629,723,498,244,869,
942,712,115,566,290,194,915,647,897,782,267,701,596,874,991,499,965,718,669,
539,802,398,335,493,397,982,075,836,992,900,864,184,037,157,174,058,812,964,
992,483,246,154,183,921,365,844,414,704,422,205,575,319,500,429,599,616,832,
979,423,249,408,915,628,291,787,046,715,098,095,151,886,924,845,545,872,434,
840,162,457,162,495,417,660,182,386,565,412,242,387,412,500,686,569,906,214,
050,241,971,343,408,303,820,132,604,158,778,096,606,969,621,953,004,501,788,
732,922,164,378,546,822,637,639,568,912,535,346,630,872,111,688,893,835,227,
376,762,963,034,711,449,036,061,220,875,948,055,827,996,170,066,073,783,673,
787,795,383,121,820,246,101,042,612,225,295,388,330,178,477,746,762,386,963,
867,512,147,418,490,479,493,304,265,240,599,263,826,913,566,178,431,945,336,
633,964,556,963,625,040,877,439,427,331,933,888,191,272,484,802,343,755,403,
874,986,564,934,583,776,679,422,102,935,966,229,334,629,302,238,892,947,926,
264,853,287,399,302,302,837,701,726,666,285,014,057,535,770,675,290,724,631,
898,359,754,672,318,811,088,186,378,834,293,681,410,911,997,232,773,370,518,
617,679,708,657,245,445,377,017,192,556,698,224,211,150,772,175,696,428,839,
362,187,471,376,469,238,607,955,179,018,657,213,733,924,841,124,988,166,585,
924,348,392,826,816,803,628,678,092,038,968,426,159,275,967,551,083,573,088,
283,605,117,991,386,718,876,440,050,529,672,612,486,190,150,660,500,931,361,
121,135,747,459,456,306,978,104,332,190,247,203,169,455,893,606,165,863,751,
382,240,688,553,112,427,196,923,786,092,831,452,834,802,382,399,284,217,187,
625,010,259,265,573,806,170,353,246,349,729,288,557,547,960,470,726,412,820,
838,364,382,976,101,186,100,156,113,889,108,400,480,871,502,578,971,965,364,
669,366,675,175,620,338,032,494,720,814,440,012,236,660,761,133,045,133,427,
505,324,243,487,603,782,999,002,233,391,830,553,997,690,408,669,949,280,578,
918,239,507,848,976,335,298,284,470,209,337,387,251,977,713,459,960,059,475,
667,214,162,438,302,726,153,612,998,304,658,218,744,770,199,403,379,331,220,
482,539,374,226,437,959,076,312,956,570,719,956,948,858,827,423,794,483,075,
602,887,163,491,549,297,631,147,746,059,205,021,215,624,268,469,204,465,522,
000,716,158,408,114,335,481,620,573,141,650,105,524,723,792,531,062,982,826,
199,929,890,833,085,112,746,699,733,774,926,454,487,643,071,566,905,922,130,
708,858,776,883,909,037,633,004,259,470,017,365,669,362,970,898,545,346,626,
319,377,495,465,281,563,600,195,675,266,009,567,443,526,980,735,211,345,240,
784,173,593,711,241,475,611,089,777,182,998,462,218,250,871,686,765,132,805,
740,173,419,519,727,167,871,825,265,626,582,960,636,986,691,015,235,048,458,
716,463,773,848,567,339,655,492,239,501,259,458,400,534,920,432,328,936,653,
359,333,749,976,774,078,436,138,994,057,094,912,385,343,571,281,945,675,620,
489,508,961,285,834,277,523,714,108,076,991,931,484,261,331,365,959,872,681,
348,517,658,712,819,753,443,051,674,901,243,192,426,153,695,292,072,826,337,
202,294,798,448,823,275,722,631,037,221,765,958,854,513,652,939,088,214,692,
180,441,752,798,409,785,209,785,911,964,891,322,024,778,322,670,579,902,363,
592,603,312,334,239,235,682,009,215,511,282,162,209,323,016,308,366,982,020,
124,273,477,486,017,161,938,011,092,130,690,021,607,161,092,306,453,689,058,
440,097,398,816,086,868,437,136,361,090,833,283,855,377,447,804,218,545,435,
637,208,711,443,153,405,034,420,562,026,589,501,148,286,721,684,316,496,295,
483,679,466,198,128,564,233,731,439,010,420,717,064,289,473,585,626,963,281,
802,697,783,510,515,852,743,104,263,381,982,546,101,284,794,912,393,516,464,
922,062,855,892,071,106,459,272,784,673,396,647,878,617,461,068,999,665,608,
289,025,378,448,144,844,652,980,536,670,743,657,290,816,493,516,382,480,573,
930,962,610,524,093,382,838,511,309,954,421,517,217,713,006,412,711,722,129,
588,011,842,053,920,340,605,229,222,867,919,084,637,197,778,971,038,381,376,
012,046,957,966,965,534,460,311,992,302,562,224,354,568,080,809,488,877,061,
992,593,028,842,625,535,641,589,616,018,209,179,298,172,414,561,904,667,367,
772,506,406,201,400,354,759,082,155,231,842,063,111,771,497,374,805,949,957,
537,833,801,930,571,983,658,820,902,463,984,004,814,674,544,640,990,830,612,
765,322,821,094,050,918,310,865,673,578,750,288,229,874,572,007,948,779,570,
933,385,215,402,105,728,727,688,294,318,105,232,186,768,164,904,108,494,769,
001,877,019,888,745,362,684,427,408,596,430,804,579,409,496,882,077,263,048,
264,950,178,455,697,043,620,400,067,191,396,494,870,515,315,175,599,160,364,
219,396,501,506,116,345,211,686,783,462,735,954,352,880,258,489,394,122,295,
985,435,593,905,159,858,658,279,913,794,050,496,300,138,610,510,943,528,693,
596,205,829,755,735,806,354,467,696,166,454,041,747,419,219,198,400,142,728,
323,378,442,301,325,293,774,486,452,140,443,586,230,966,355,116,977,370,293,
857,336,827,125,547,530,554,504,918,981,361,749,912,901,186,706,699,249,380,
049,353,618,230,682,275,554,602,352,944,194,478,555,017,364,077,639,872,381,
474,124,617,684,332,611,770,432,443,228,225,530,718,679,904,041,426,586,660,
743,503,544,221,567,697,408,039,934,670,687,594,737,067,455,775,352,050,693,
479,062,531,116,258,465,692,041,894,028,021,943,147,763,380,740,720,215,603,
483,557,713,339,878,109,221,677,581,364,907,500,829,301,165,661,395,830,519,
683,158,205,882,857,861,396,034,610,031,861,010,880,954,589,158,387,713,912,
883,108,924,854,133,616,440,680,023,683,293,088,568,891,384,622,427,848,106,
088,347,300,619,076,806,193,831,512,125,834,416,759,286,139,818,643,964,939,
315,556,794,146,113,889,851,709,030,131,903,445,611,747,798,917,789,991,778,
092,864,449,417,896,086,032,888,305,764,524,896,942,644,378,347,297,376,702,
646,579,933,550,057,168,713,331,856,285,315,210,651,008,758,208,476,572,191,
342,963,575,316,565,544,318,907,242,972,734,404,449,921,586,612,892,644,087,
335,736,316,442,708,423,712,578,641,893,794,791,868,813,713,676,140,669,589,
758,771,173,753,244,795,684,338,036,873,141,841,781,601,424,105,724,090,642,
582,628,333,682,879,551,030,074,531,978,341,635,474,386,447,512,914,220,476,
822,782,410,515,188,207,089,053,057,919,135,433,765,679,254,534,899,189,835,
360,729,617,370,481,363,722,236,046,372,020,047,750,469,735,346,234,988,426,
746,754,475,872,107,604,613,988,367,401,120,013,420,024,861,430,787,244,434,
112,920,712,660,368,955,836,660,027,487,445,378,649,321,275,364,747,219,155,
094,139,569,719,217,159,135,949,089,593,673,390,791,735,697,813,769,930,360,
995,273,568,370,040,564,462,193,660,511,168,084,879,130,797,001,977,924,520,
511,989,142,155,581,754,429,902,783,864,559,974,144,258,239,382,451,975,497,
398,510,151,018,892,458,231,689,379,073,547,850,837,096,377,705,390,770,744,
417,308,897,306,379,623,354,797,986,248,606,694,972,718,286,012,335,908,060,
811,014,636,219,761,370,455,457,610,025,515,834,461,120,810,808,989,392,635,
574,002,092,129,048,126,076,252,394,088,453,964,780,275,907,577,107,538,519,
318,523,714,481,767,705,905,035,162,071,861,854,417,659,611,283,756,344,524,
525,022,103,778,337,406,347,790,928,010,422,878,950,062,513,233,111,988,394,
465,036,390,234,522,401,551,823,365,240,338,819,626,599,575,830,438,980,861,
993,110,290,171,199,914,761,301,426,842,669,606,171,583,131,310,776,928,345,
899,369,823,413,780,331,948,108,976,009,741,226,588,597,163,419,815,549,844,
585,120,154,719,924,233,007,573,646,561,258,003,875,125,304,487,923,324,408,
069,308,509,620,801,413,520,661,867,854,700,283,948,625,019,492,983,946,144,
431,070,524,605,200,390,467,112,260,981,133,918,066,287,389,760,298,870,919,
371,610,395,928,900,719,040,118,073,947,912,899,925,743,488,847,252,812,734,
944,402,765,628,291,421,504,526,774,391,919,462,120,389,217,876,188,134,674,
720,477,153,915,807,094,825,746,703,219,354,896,486,116,877,615,350,577,500,
474,874,125,290,907,323,436,679,101,089,894,720,142,346,978,472,504,948,361,
957,672,843,044,143,252,519,772,876,181,553,577,042,872,935,063,062,058,493,
243,401,835,070,688,148,907,487,325,800,529,167,921,482,375,090,674,763,119,
568,526,677,168,718,828,623,943,199,929,373,381,562,602,588,886,877,180,399,
989,396,677,810,392,773,703,226,737,225,695,635,632,782,625,360,789,069,802,
473,035,664,732,039,840,849,398,207,516,568,053,769,598,986,571,845,811,232,
835,859,204,097,357,967,270,906,793,381,240,814,761,898,259,865,625,746,701,
322,424,997,138,630,944,273,542,610,476,696,289,618,434,935,910,623,378,075,
160,851,625,483,043,939,903,390,963,322,014,567,500,036,918,344,505,866,586,
297,315,585,912,659,380,600,099,841,868,983,793,663,376,015,059,035,564,251,
079,725,358,581,145,525,864,768,983,549,895,797,377,661,393,445,327,548,614,
198,778,258,463,717,386,975,342,158,010,585,258,828,499,988,713,030,537,301,
907,647,343,840,427,824,614,776,916,566,836,218,711,395,752,824,274,384,971,
771,455,220,612,239,795,890,022,380,335,912,550,566,126,033,335,302,116,379,
437,117,060,140,528,065,236,456,640,085,384,718,262,583,205,786,590,722,729,
716,511,651,979,485,463,753,798,733,240,911,940,763,015,968,851,478,113,216,
936,545,740,465,596,330,114,380,570,995,274,333,349,381,193,687,251,826,105,
961,835,278,340,356,314,071,403,447,663,930,477,887,119,534,351,443,199,810,
227,197,120,883,316,606,302,174,721,401,682,986,973,652,545,973,781,340,753,
247,085,214,417,859,763,791,877,073,083,570,558,680,345,450,868,728,139,287,
997,151,829,338,033,400,822,366,899,018,134,771,894,495,846,418,926,769,175,
098,318,541,494,733,139,586,325,070,885,709,781,388,085,356,666,801,589,828,
530,242,849,508,718,722,905,820,888,749,126,564,740,946,723,817,136,385,323,
722,664,586,785,901,687,386,338,265,191,679,889,340,982,014,243,736,942,229,
820,285,880,448,678,881,446,070,014,984,111,017,410,554,766,750,873,770,988,
811,844,830,768,460,190,271,654,994,235,274,756,951,918,854,790,454,923,155,
019,082,439,534,844,234,041,964,492,828,067,100,029,306,659,935,726,233,653,
960,084,125,838,671,218,707,919,179,088,909,916,050,400,565,681,061,330,689,
546,518,553,308,819,849,571,354,072,568,428,345,454,349,287,887,634,304,491,
678,325,121,132,387,553,624,620,453,657,254,592,141,625,137,897,790,599,933,
447,599,037,190,838,563,974,372,210,742,582,211,894,977,994,416,148,129,371,
684,786,975,375,862,710,055,711,922,334,621,848,386,953,459,358,627,265,956,
387,984,009,881,529,844,565,786,383,927,441,208,645,262,173,798,383,760,739,
048,558,072,703,632,403,508,760,179,058,114,182,132,144,039,052,664,208,257,
232,341,425,816,366,205,593,576,612,607,793,653,949,082,550,668,895,900,182,
567,776,380,113,793,874,153,084,095,384,991,213,511,720,593,417,125,719,360,
106,775,331,690,334,008,116,722,300,848,133,737,450,003,811,749,856,778,322,
504,377,958,193,111,502,763,085,398,222,719,407,762,338,478,524,655,046,939,
721,610,983,326,083,853,565,119,201,538,459,545,461,758,804,348,786,339,723,
900,801,423,241,696,158,351,309,152,649,378,284,931,340,994,098,907,101,311,
947,143,179,637,754,687,652,682,455,664,191,273,998,682,318,259,038,747,942,
534,006,104,699,309,628,908,807,323,078,905,643,392,902,153,593,961,245,833,
108,927,319,103,901,225,526,615,857,537,393,241,544,892,803,840,988,701,888,
989,644,587,078,282,693,865,163,912,829,647,265,970,236,280,725,951,591,860,
453,276,987,765,009,474,338,827,685,061,488,390,587,805,571,648,811,502,656,
565,294,722,019,259,221,010,381,769,795,032,597,233,854,950,995,850,492,236,
146,417,674,226,609,689,279,109,530,479,636,492,243,161,889,444,087,467,844,
066,389,605,974,207,025,283,841,276,252,112,968,953,641,149,047,519,340,200,
714,082,817,691,222,390,489,594,701,718,781,838,621,108,553,665,451,644,202,
043,286,381,854,464,452,093,315,451,868,208,170,138,557,127,222,122,733,549,
004,306,579,269,070,839,445,094,803,036,166,783,350,063,275,680,741,364,075,
192,028,207,207,668,190,933,301,541,739,306,522,513,729,774,241,432,352,303,
109,844,192,940,188,264,372,015,454,325,319,720,078,581,977,888,669,208,905,
970,302,390,497,219,352,395,795,267,191,812,432,439,790,321,974,679,340,454,
103,449,461,210,169,567,149,821,559,103,881,859,598,857,871,404,722,237,961,
539,438,682,184,621,957,357,453,970,865,997,535,997,787,389,777,344,153,711,
002,618,695,955,783,734,389,528,801,297,926,573,365,051,854,034,985,572,610,
370,423,712,491,195,625,983,159,837,452,167,547,963,091,484,185,753,902,618,
091,596,494,307,323,196,584,523,303,089,055,090,516,118,300,767,007,238,130,
869,805,345,288,904,891,696,048,326,139,932,625,322,790,961,207,122,224,683,
895,433,271,163,284,978,566,750,978,743,054,432,052,053,474,823,744,715,638,
223,468,866,638,423,226,528,896,444,650,711,282,253,057,790,897,981,353,496,
701,002,944,723,808,715,274,658,961,703,303,022,308,615,896,423,340,956,727,
352,150,792,190,435,827,315,845,015,052,148,451,977,642,991,067,934,493,324,
554,272,811,591,837,366,559,944,474,879,636,541,528,052,585,913,769,102,601,
607,670,787,408,015,695,128,635,816,296,965,645,443,833,997,791,736,522,811,
241,154,842,686,587,892,490,221,890,233,004,839,106,821,468,745,596,547,880,
841,453,732,814,941,729,119,393,304,109,542,260,677,037,004,225,431,702,375,
440,481,791,845,186,958,374,804,529,612,744,312,838,400,389,434,221,071,492,
965,888,146,554,285,958,656,005,926,677,413,204,650,628,401,956,272,823,508,
080,544,102,769,528,364,301,934,576,569,321,653,355,654,366,787,999,909,097,
882,669,251,317,952,894,533,553,562,365,904,828,907,291,627,259,766,433,735,
660,649,333,814,748,690,074,330,389,241,393,821,831,290,847,222,535,620,680,
705,709,832,353,568,665,683,042,698,376,387,915,400,835,681,208,964,322,568,
702,217,750,195,913,372,730,225,936,292,838,591,981,759,282,952,388,412,896,
327,382,032,544,104,442,689,264,573,395,140,901,045,327,388,478,149,852,490,
500,952,206,060,502,771,211,950,525,525,273,562,231,032,764,378,038,975,377,
488,080,070,725,615,478,494,751,934,441,678,832,726,950,527,528,685,198,438,
474,143,743,804,020,879,423,150,967,015,907,051,840,703,461,748,735,258,490,
393,782,919,014,339,937,230,730,843,717,530,852,848,675,221,358,451,966,094,
847,307,794,267,425,204,396,818,291,334,950,361,664,085,924,834,488,325,235,
989,683,654,143,677,132,594,685,019,499,506,639,956,994,698,181,191,244,586,
212,800,846,537,430,507,619,628,749,475,504,805,696,207,780,860,643,207,809,
847,583,284,378,840,047,279,916,333,468,928,977,178,531,872,006,083,263,838,
900,600,519,514,201,015,964,215,770,553,495,540,985,553,109,324,542,380,040,
419,373,617,746,474,777,901,046,927,995,531,503,253,188,967,848,134,399,105,
880,299,298,204,922,308,730,529,152,694,177,222,338,795,573,564,366,413,198,
309,172,670,885,502,337,031,913,011,123,839,820,467,587,095,890,164,903,409,
142,644,556,587,561,237,994,594,576,570,772,596,039,788,088,493,107,798,683,
816,856,135,988,709,191,284,905,950,466,218,139,300,040,870,995,811,451,726,
291,668,467,064,231,770,609,791,039,503,417,503,577,961,509,573,354,267,594,
022,630,089,619,811,767,800,228,501,969,824,101,224,243,106,008,805,657,349,
377,958,314,664,725,757,069,747,298,851,256,944,041,491,224,699,071,925,274,
840,329,492,213,493,828,685,376,254,793,869,170,986,599,618,213,814,419,167,
131,297,413,316,187,078,817,721,909,814,268,955,135,873,081,301,279,298,238,
759,973,094,118,194,190,537,644,947,761,870,100,469,830,293,389,926,466,134,
893,476,334,787,321,370,194,623,399,850,439,434,967,506,668,020,758,291,287,
621,782,222,231,309,216,945,011,511,818,477,014,518,343,858,579,066,011,871,
638,008,970,994,036,770,934,506,142,089,940,573,878,927,719,271,460,542,810,
349,759,985,609,127,261,986,261,803,612,464,786,200,319,126,321,010,712,957,
785,233,818,333,714,761,513,909,781,631,998,410,439,399,342,451,688,559,330,
728,663,244,717,467,281,576,871,932,198,675,102,842,438,875,859,110,304,274,
367,714,540,696,794,570,804,582,478,756,226,233,519,663,664,413,607,869,881,
220,361,206,949,655,232,099,881,532,297,366,024,578,139,632,885,706,015,014,
543,479,249,172,997,892,065,196,896,544,719,970,038,748,573,273,438,467,409,
129,136,434,919,019,627,658,102,146,567,043,907,510,619,310,541,970,720,556,
769,049,091,450,608,283,942,878,513,369,254,950,357,472,457,402,624,792,217,
758,148,984,817,208,878,235,521,553,283,535,853,278,316,135,099,055,563,213,
276,404,463,512,438,185,576,376,286,006,502,753,118,909,672,750,340,562,501,
236,621,832,523,797,008,505,236,391,384,086,707,242,151,418,727,550,883,526,
208,186,307,612,465,160,845,761,252,529,164,301,000,030,541,758,827,291,999,
888,408,586,924,736,180,676,626,262,252,134,475,337,829,599,007,896,545,397,
519,884,602,399,363,116,229,879,050,237,656,226,178,606,257,990,204,502,950,
641,781,579,141,589,656,871,663,423,573,637,933,805,748,168,670,235,896,392,
805,853,391,000,133,661,203,087,153,426,586,551,045,191,355,984,499,175,656,
521,837,438,279,392,988,434,082,697,399,284,555,515,780,575,348,314,550,212,
375,727,533,031,408,313,106,616,254,197,647,208,692,048,799,983,244,408,953,
837,636,538,460,846,148,606,874,639,187,991,792,226,374,739,733,996,461,815,
001,662,666,702,767,630,204,436,050,375,651,044,591,629,508,856,143,281,945,
989,038,343,694,082,408,087,392,819,961,383,474,166,602,161,676,780,395,613,
737,285,913,973,943,922,368,070,896,806,536,372,193,202,947,628,213,588,929,
077,494,969,181,413,762,898,763,420,804,181,145,009,747,094,183,908,468,522,
587,106,616,315,407,149,070,780,961,167,082,583,889,337,689,318,463,082,899,
810,018,812,108,099,546,966,665,178,863,644,430,814,435,674,447,755,994,103,
713,595,251,665,467,013,072,373,830,590,260,592,801,362,977,273,117,638,464,
818,810,126,423,780,183,303,008,062,729,407,617,009,779,035,804,811,600,191,
085,849,682,561,594,154,801,867,990,755,252,335,394,813,109,899,060,429,488,
401,103,788,110,110,897,547,690,466,247,290,381,971,018,876,283,554,774,043,
576,205,477,578,483,759,275,607,129,317,802,808,166,341,343,124,475,623,847,
497,393,553,303,850,596,276,997,661,276,137,541,197,928,263,811,509,894,594,
710,643,457,138,851,547,673,288,103,567,136,967,104,897,832,973,422,992,131,
811,153,195,642,408,603,941,951,434,636,087,522,005,707,631,415,841,755,883,
332,501,210,409,393,947,981,271,081,073,308,543,090,782,830,107,526,806,474,
824,517,661,053,974,475,522,374,074,647,267,743,895,635,733,812,536,056,266,
954,757,693,912,942,424,348,432,819,376,618,692,471,853,619,998,160,695,388,
453,930,849,863,774,328,524,700,776,655,451,225,401,495,370,897,010,705,805,
426,593,033,998,166,065,838,922,130,053,004,099,986,545,603,421,692,238,491,
059,654,531,935,395,449,616,266,512,425,226,103,441,448,949,685,219,919,597,
143,807,985,371,548,629,916,312,755,299,180,096,461,530,015,840,949,481,785,
835,131,157,364,785,799,830,582,699,807,268,198,381,573,411,100,057,074,044,
572,866,679,275,174,425,395,072,307,108,209,230,334,973,644,302,899,239,020,
908,225,813,559,109,878,529,022,091,334,183,536,084,210,151,669,036,110,874,
320,231,363,288,685,855,735,229,360,774,241,961,839,143,175,956,726,123,096,
754,927,570,762,222,868,166,011,878,962,925,368,824,307,253,333,904,906,348,
230,762,303,711,908,867,212,772,748,003,350,906,842,127,336,160,882,454,797,
678,747,908,348,070,656,141,008,513,525,905,257,088,225,333,046,599,044,436,
385,559,991,678,482,161,996,930,654,766,308,129,878,775,530,913,449,794,037,
227,186,279,031,737,894,612,989,541,830,209,278,573,930,280,675,031,805,022,
189,980,690,162,536,573,174,527,226,013,074,915,866,753,918,329,481,703,170,
652,950,970,395,629,616,787,826,226,344,508,625,350,510,396,816,190,514,484,
860,427,961,531,732,356,994,970,170,572,482,840,540,472,516,747,495,195,153,
728,877,402,847,013,962,876,927,065,165,681,808,517,628,352,484,189,312,981,
007,561,290,325,358,864,621,351,238,938,592,878,643,273,062,363,527,153,506,
633,757,295,710,910,862,080,278,742,763,208,506,575,226,947,936,578,568,648,
228,114,892,934,366,988,487,799,609,208,720,632,658,876,372,574,150,547,558,
604,032,841,267,038,711,686,206,395,920,424,316,856,942,605,642,624,595,978,
819,811,884,215,019,729,930,318,001,012,748,184,742,401,686,871,719,127,566,
070,513,583,728,061,898,149,913,378,344,000,145,532,831,701,974,104,561,131,
299,633,155,366,998,224,233,767,557,507,663,198,449,602,668,501,231,421,394,
788,639,251,146,644,116,716,833,254,489,065,284,046,827,362,290,964,957,821,
197,222,121,257,283,648,753,767,859,672,374,775,016,053,002,469,981,831,596,
710,732,736,746,063,496,065,617,611,615,500,771,956,593,126,777,929,047,511,
312,252,610,653,130,254,231,121,366,209,238,316,161,463,421,206,206,457,518,
421,949,141,258,653,967,195,404,509,788,093,504,956,885,579,298,454,497,781,
722,363,367,471,596,028,019,084,967,438,814,566,430,205,558,606,396,598,074,
693,947,126,380,367,043,485,716,616,952,996,572,039,386,998,077,419,444,514,
839,502,535,826,471,576,143,296,326,001,221,493,248,190,389,956,768,523,975,
393,731,626,673,512,667,991,706,602,149,584,909,983,091,600,716,066,876,330,
713,418,860,027,192,127,825,937,104,151,771,906,100,334,304,294,570,075,375,
054,465,851,417,536,561,412,632,217,203,178,058,163,299,079,955,508,867,804,
914,422,002,271,163,031,175,979,917,404,377,874,828,345,527,278,913,484,496,
890,996,749,385,079,340,719,711,088,952,709,411,867,133,472,004,813,121,085,
499,084,205,058,011,034,733,198,641,906,320,947,819,630,739,821,284,183,308,
878,310,017,335,812,112,803,355,439,357,158,629,066,057,393,874,144,116,472,
020,869,107,050,436,940,958,334,715,880,661,991,088,077,096,000,771,872,451,
700,551,096,230,634,277,288,361,712,357,441,835,828,284,310,814,382,692,521,
154,410,163,390,580,349,173,959,364,668,052,527,721,103,017,805,326,968,009,
642,960,225,383,738,513,740,483,033,573,489,505,340,458,140,286,872,552,190,
625,759,623,986,068,959,261,032,346,635,217,570,423,844,604,098,308,305,038,
232,017,180,519,853,337,292,291,459,337,438,303,994,599,457,094,782,133,418,
932,697,106,220,951,484,479,039,361,829,043,072,919,946,094,905,644,739,382,
125,355,343,315,181,889,470,136,922,545,178,466,266,229,138,851,098,283,817,
496,013,841,273,628,327,123,337,826,415,877,625,208,355,243,951,968,161,807,
461,771,719,881,584,491,436,089,856,304,397,571,125,235,976,124,648,121,225,
752,557,364,013,820,045,039,061,440,172,957,932,381,560,500,397,902,456,522,
622,810,476,274,468,667,122,238,986,208,621,510,457,623,537,712,898,512,359,
868,812,689,717,750,630,736,657,099,184,149,360,035,377,823,703,629,177,912,
302,132,945,312,142,489,214,622,171,742,243,306,923,269,481,159,909,914,632,
779,172,835,506,774,391,212,509,352,279,837,366,748,877,742,066,678,300,087,
510,090,765,559,326,198,565,208,012,538,591,554,603,607,696,565,099,096,807,
795,102,098,113,851,009,383,746,107,410,356,533,467,310,038,263,905,409,158,
789,523,560,857,612,976,934,283,887,536,787,968,248,621,844,142,638,026,875,
837,568,714,050,595,654,923,036,827,708,510,922,542,543,895,992,400,778,818,
134,075,072,522,181,660,649,220,218,092,718,927,557,996,784,633,037,440,307,
998,242,244,312,249,485,687,578,846,305,675,533,374,710,285,326,013,393,983,
772,613,939,942,234,430,777,458,751,891,956,899,789,465,636,029,981,020,617,
415,435,313,891,116,774,042,155,728,495,921,083,784,304,687,612,291,544,291,
156,734,583,672,203,354,436,528,334,198,378,847,235,080,357,608,783,185,999,
033,425,353,461,168,291,887,360,735,500,821,963,017,400,881,156,447,157,632,
657,360,035,198,363,493,786,351,731,453,171,860,536,954,236,152,725,144,161,
245,870,509,259,453,108,602,866,361,700,836,544,711,857,170,556,234,572,742,
515,925,555,662,375,355,041,801,038,194,443,274,839,747,404,098,496,148,133,
109,231,780,425,729,070,667,176,035,626,625,796,682,954,184,916,301,313,854,
487,181,584,052,471,213,006,180,131,476,161,519,941,780,813,376,001,912,800,
427,307,693,661,380,593,038,173,035,079,980,101,751,841,927,085,177,161,666,
975,390,855,615,803,707,710,018,914,060,327,627,940,318,733,810,047,414,235,
987,964,850,854,589,012,049,436,156,044,852,696,294,503,154,274,037,661,372,
999,126,215,460,746,043,039,921,443,274,943,998,603,056,425,598,557,556,675,
032,691,117,281,888,394,295,161,758,774,671,392,900,789,189,573,155,998,389,
481,513,389,526,808,408,741,188,346,418,151,599,951,993,480,149,217,529,025,
658,510,256,249,786,334,639,471,962,591,810,305,254,877,551,350,371,567,590,
575,824,011,775,957,729,798,636,460,828,028,483,506,365,097,804,219,193,682,
767,415,077,722,967,678,371,513,620,790,257,350,324,595,468,868,573,967,382,
280,019,260,486,261,260,177,860,119,963,258,062,342,760,572,134,663,087,790,
866,489,201,006,810,022,524,636,377,261,536,658,543,461,405,542,152,298,421,
370,567,152,940,538,197,795,014,616,585,168,395,176,213,488,841,642,262,161,
106,529,478,855,313,899,267,127,229,070,800,822,436,466,926,527,550,689,422,
009,075,331,655,986,767,353,725,139,616,291,646,102,949,676,597,173,516,937,
693,229,051,441,788,951,772,645,229,108,949,631,152,819,468,770,012,260,577,
453,119,083,229,616,631,584,072,424,752,149,256,703,832,899,092,373,072,514,
596,677,542,276,824,372,384,634,894,006,251,577,564,165,428,530,109,855,334,
198,709,054,609,212,248,297,220,010,225,373,171,054,188,079,429,960,142,416,
377,780,083,526,450,979,506,232,219,278,072,861,046,874,475,002,497,425,484,
221,225,973,335,763,846,445,318,416,649,934,203,122,642,559,708,757,196,245,
730,750,014,183,776,350,082,002,993,170,552,815,811,016,644,254,803,716,654,
401,088,530,368,372,652,498,466,394,674,463,362,714,470,205,610,409,727,357,
420,560,842,900,319,462,146,602,533,331,665,958,818,657,368,631,057,014,359,
825,626,247,562,993,841,185,840,250,690,708,224,025,505,799,225,400,619,684,
457,876,789,603,540,919,721,290,073,433,668,387,347,628,057,425,180,721,893,
834,874,239,718,646,160,711,038,940,969,689,827,707,421,457,245,596,622,858,
839,869,242,557,219,555,989,994,429,929,188,595,515,269,302,412,191,662,496,
115,820,089,132,036,812,770,065,831,632,681,676,488,450,079,294,869,648,996,
859,422,008,428,642,707,833,516,443,383,942,332,023,286,199,403,596,735,512,
684,518,880,648,697,698,418,865,781,567,622,100,041,622,788,389,928,847,520,
152,162,012,871,801,148,511,895,765,025,971,314,836,200,995,025,991,544,119,
414,761,361,643,147,479,907,831,338,391,997,766,679,321,987,011,017,439,678,
964,554,276,500,782,548,783,265,421,738,626,785,505,387,830,103,667,108,537,
268,264,502,030,089,787,422,925,142,607,542,311,849,358,907,327,318,203,778,
043,510,454,793,264,258,976,058,820,957,725,453,891,559,901,694,048,122,567,
877,837,623,289,029,839,171,701,022,179,805,192,687,999,422,919,151,046,055,
288,958,496,160,446,614,607,970,923,724,304,905,714,119,445,502,044,712,552,
150,141,292,021,391,451,117,708,710,881,369,983,904,956,470,676,492,668,961,
193,903,256,822,590,409,996,880,123,953,099,637,165,159,049,186,663,038,617,
572,146,964,890,355,877,145,519,304,302,900,054,553,233,502,992,273,442,110,
558,834,203,857,471,518,275,735,713,635,862,575,161,218,457,756,037,708,799,
763,213,180,412,289,961,447,367,658,959,182,238,647,933,325,713,602,856,622,
703,157,151,666,220,841,374,684,570,067,362,389,729,450,555,342,206,112,702,
875,675,657,684,085,039,832,731,217,452,352,203,089,234,942,940,729,930,383,
373,955,386,018,656,918,792,844,551,735,899,347,195,168,275,998,430,945,083,
964,706,859,146,195,850,167,871,920,602,113,697,166,954,863,277,837,743,352,
231,659,851,458,294,464,625,177,069,872,416,543,356,236,750,373,910,527,458,
431,659,795,238,748,350,463,663,795,609,947,509,375,056,005,724,713,369,670,
773,311,470,185,582,117,946,479,608,374,328,746,833,124,502,766,578,094,752,
958,294,973,107,699,815,260,244,903,823,647,814,596,357,177,753,154,568,342,
671,936,569,199,924,668,259,275,258,867,292,261,892,675,255,430,248,847,431,
277,927,123,972,273,200,183,033,910,372,795,230,611,497,209,422,079,643,910,
578,172,081,172,229,853,777,956,972,830,150,811,037,213,852,873,864,534,345,
377,096,686,979,077,814,663,374,079,730,610,364,563,895,645,883,563,575,803,
278,523,739,192,728,652,514,996,812,375,425,421,494,891,667,753,286,953,224,
619,235,355,952,521,752,992,654,647,794,821,697,476,791,996,455,671,254,303,
500,362,286,646,370,845,992,240,179,883,402,269,874,113,705,972,630,648,578,
836,591,302,392,176,287,899,041,378,635,156,333,096,403,647,410,272,662,480,
389,539,010,540,016,710,322,055,698,188,473,341,106,565,756,926,796,910,051,
538,614,893,669,218,221,760,929,900,281,447,150,572,958,304,490,728,970,830,
426,378,774,758,036,473,076,426,074,737,383,699,696,570,361,754,355,402,202,
043,546,651,696,450,301,531,464,913,180,577,368,507,237,620,989,240,317,033,
327,295,310,024,311,523,085,191,684,717,713,775,681,558,031,201,163,294,630,
968,601,515,856,757,872,186,907,853,481,498,392,131,213,652,583,832,321,906,
649,416,620,160,805,938,773,817,896,303,070,681,102,647,840,749,785,713,022,
894,921,165,397,492,435,538,016,116,820,328,128,135,430,991,947,181,211,826,
822,654,436,267,290,336,774,151,242,435,086,568,351,093,951,695,750,391,779,
833,551,812,151,541,103,922,803,368,031,426,710,673,373,324,576,376,555,515,
313,177,239,083,298,936,391,826,211,665,799,478,765,781,071,908,128,839,764,
775,896,725,261,730,375,348,489,864,620,911,966,976,051,292,365,326,654,939,
426,824,128,990,909,276,602,892,347,308,076,006,268,067,340,673,330,382,221,
842,418,484,692,315,824,087,787,324,241,220,364,989,154,146,382,739,251,321,
925,770,279,378,445,145,332,728,515,850,351,503,306,480,807,556,907,594,848,
028,008,679,228,978,884,343,586,586,661,866,823,203,006,454,456,398,173,511,
117,205,658,151,818,624,504,825,233,315,718,513,498,551,471,079,116,153,725,
612,988,691,107,078,046,716,350,326,860,439,641,024,399,366,269,293,555,330,
044,566,836,571,876,269,028,140,392,236,677,041,788,325,446,707,938,216,467,
614,941,103,828,227,716,383,493,601,957,816,043,115,985,761,597,344,307,586,
289,105,599,197,315,271,828,453,535,406,489,153,833,605,527,290,597,031,800,
991,115,299,677,019,000,453,911,596,478,584,242,630,633,748,616,613,647,479,
246,252,884,093,073,638,502,297,151,896,400,482,714,982,913,602,133,553,466,
534,454,891,992,921,388,457,517,796,977,420,240,675,045,464,452,132,624,753,
950,046,225,289,319,044,510,109,276,724,129,829,676,276,960,376,002,797,164,
577,562,906,158,141,403,139,075,227,594,689,962,552,840,009,113,732,838,304,
095,848,419,567,238,089,551,616,010,291,766,364,111,160,909,967,035,185,372,
983,356,924,822,855,699,078,494,607,843,058,733,526,918,145,086,028,412,220,
225,430,426,352,859,286,131,877,973,793,858,327,441,447,695,006,286,716,722,
881,835,322,766,311,921,897,322,598,124,054,572,350,941,608,373,135,895,991,
847,406,927,745,307,400,281,500,930,446,127,224,632,849,193,010,719,917,938,
892,332,956,865,877,420,111,999,120,257,589,676,084,413,593,951,445,894,917,
752,219,325,223,548,871,104,444,570,980,683,931,398,209,096,848,517,547,312,
652,633,667,144,272,104,921,499,527,519,277,041,104,574,151,994,610,663,757,
162,433,019,874,400,567,840,312,894,045,850,435,052,378,191,521,254,941,723,
133,347,771,096,740,943,426,267,172,807,168,146,295,078,690,344,112,401,134,
021,600,969,897,033,112,509,778,539,052,154,672,013,676,184,688,896,251,707,
215,926,837,433,876,520,867,378,940,354,900,555,262,731,662,260,003,936,584,
610,688,433,048,160,251,631,487,687,309,929,081,056,009,092,286,273,347,279,
736,903,127,816,250,184,813,411,210,715,731,274,245,927,571,786,054,823,284,
917,872,691,505,828,613,091,435,574,721,627,423,516,593,664,827,948,120,678,
081,016,474,011,390,947,784,122,073,547,623,972,432,760,087,896,319,432,625,
517,900,840,330,121,117,823,138,200,388,433,750,123,611,112,166,346,407,157,
879,074,391,752,044,415,701,992,510,802,244,592,507,049,570,882,612,968,127,
752,731,738,451,257,579,271,671,780,470,390,453,105,352,175,103,996,712,039,
167,141,981,726,607,314,381,535,560,925,672,874,845,015,452,174,563,407,426,
699,546,445,462,271,770,810,186,400,848,091,634,381,760,096,665,376,914,678,
423,761,243,014,747,823,664,724,437,963,202,209,082,725,379,305,082,619,479,
472,918,841,559,178,270,841,703,340,161,790,833,196,280,237,178,880,981,868,
372,645,506,032,145,737,686,519,253,979,685,637,949,389,633,476,755,146,682,
569,861,210,757,286,021,993,710,630,450,480,814,693,843,026,860,853,530,156,
390,541,242,902,634,561,812,928,585,403,780,243,904,892,403,823,932,100,743,
295,951,071,328,605,665,347,924,588,882,179,568,478,010,712,413,602,579,630,
707,018,264,751,305,214,160,319,920,095,850,841,196,853,352,213,680,622,107,
519,106,516,315,556,781,538,126,112,781,500,964,220,848,008,718,516,553,991,
158,733,178,496,687,319,890,424,438,023,713,918,646,994,251,610,080,769,616,
647,866,470,053,237,329,563,345,310,837,806,301,447,141,006,660,608,069,734,
526,315,145,217,509,107,620,171,338,982,274,808,600,506,193,901,610,644,104,
174,280,774,333,566,147,732,960,718,687,048,610,417,925,785,866,874,169,076,
919,050,090,722,027,936,615,331,297,197,487,721,369,724,883,039,423,397,998,
910,629,476,930,536,028,247,901,097,408,461,058,906,871,168,194,106,965,888,
844,297,159,977,044,186,563,578,334,064,712,536,169,091,960,632,386,793,848,
657,439,589,729,208,397,532,003,421,588,382,682,013,807,032,705,819,452,811,
845,657,151,979,600,110,559,194,684,095,049,202,598,634,845,267,000,997,240,
475,232,559,543,452,777,243,633,515,896,497,546,744,622,827,359,749,809,810,
670,348,180,063,682,745,309,871,227,714,822,595,353,195,037,992,078,025,955,
838,670,557,459,863,234,613,223,214,852,978,139,497,967,633,977,607,950,544,
430,323,817,907,071,012,142,073,230,224,127,562,478,410,603,220,962,662,575,
899,061,914,707,901,494,166,659,594,987,767,398,781,630,473,993,111,576,426,
045,846,085,067,389,384,534,051,687,539,740,712,482,519,994,660,514,357,533,
469,561,751,480,478,899,309,306,594,434,209,438,170,083,976,610,557,346,558,
714,708,912,447,693,622,292,988,276,857,760,157,436,819,120,237,250,038,567,
427,448,356,777,112,731,835,924,351,118,391,737,853,335,472,893,095,802,426,
288,275,385,720,893,617,660,128,745,064,281,677,797,372,218,015,065,065,413,
260,406,788,325,074,565,050,460,173,479,468,080,367,403,194,300,646,156,019,
272,199,046,045,829,236,943,857,370,369,736,967,452,023,423,519,091,832,151,
819,710,545,188,307,741,248,977,329,659,510,130,049,270,961,098,268,864,234,
594,134,755,807,419,869,177,554,227,404,310,241,662,862,025,170,380,338,220,
493,405,562,183,734,948,538,289,346,342,375,673,945,803,107,996,177,614,976,
731,345,528,326,153,902,849,212,750,621,089,267,818,268,507,530,795,465,090,
258,375,586,026,324,703,933,199,794,474,100,946,494,961,017,320,997,757,096,
512,416,607,977,682,211,601,399,036,622,116,596,788,419,130,748,699,060,103,
791,946,109,348,457,765,131,850,003,627,594,788,668,247,986,735,567,139,064,
190,562,574,052,023,228,317,224,366,180,624,808,571,507,934,987,372,380,907,
555,790,886,421,682,384,231,648,347,251,692,818,659,771,447,052,633,331,935,
325,447,955,229,449,534,771,624,316,912,430,696,138,262,220,517,355,746,849,
530,449,533,302,860,750,086,561,977,467,880,104,574,126,460,727,120,285,951,
928,074,624,256,596,321,317,642,883,730,862,723,102,620,591,018,458,647,468,
991,389,085,002,827,485,236,366,465,954,322,108,948,458,249,422,807,170,480,
373,959,727,944,117,760,761,367,092,117,168,667,222,249,017,342,735,805,087,
298,149,269,806,091,629,680,919,328,577,565,231,399,315,944,601,349,559,372,
696,596,208,955,627,898,239,015,080,946,654,765,119,898,493,117,236,243,340,
288,909,765,408,825,379,309,761,871,855,750,523,620,705,018,649,674,112,255,
082,527,907,967,296,240,247,412,492,633,684,713,837,817,835,220,873,289,517,
706,432,817,613,313,402,424,444,283,134,635,400,995,215,860,890,087,349,152,
402,225,087,330,992,190,639,179,358,579,642,512,446,328,384,577,794,743,835,
403,077,885,150,754,646,377,773,629,263,464,857,482,870,364,561,739,759,793,
910,810,056,901,260,439,363,206,482,843,163,447,460,455,969,129,201,262,051,
772,163,366,672,415,540,396,157,141,247,206,591,336,822,672,459,641,197,192,
161,053,074,609,935,696,864,064,143,227,302,200,410,948,828,783,711,416,561,
465,606,627,608,204,997,500,939,410,218,457,631,006,669,473,620,381,680,104,
463,803,166,762,918,764,831,964,492,139,177,831,039,931,363,627,310,504,038,
076,377,821,544,165,238,742,253,969,347,730,420,233,334,950,621,206,924,568,
088,271,320,477,623,926,721,590,504,716,863,447,659,450,733,095,870,361,174,
620,852,407,609,477,019,039,038,137,044,908,523,192,346,973,106,290,078,589,
409,058,240,548,280,393,924,968,437,985,224,095,238,863,624,352,170,753,302,
711,507,523,924,982,138,229,146,948,103,886,939,212,910,109,648,903,745,464,
025,774,161,358,252,152,356,650,998,292,355,372,125,450,487,609,480,842,802,
856,429,283,673,152,412,884,096,922,735,208,514,602,582,379,547,273,591,154,
949,670,969,398,753,427,381,672,240,429,831,277,189,427,228,292,012,673,920,
881,754,514,455,642,422,151,346,660,725,755,215,198,057,269,278,745,254,709,
133,029,453,992,257,448,272,521,228,724,696,679,030,914,997,009,642,499,537,
597,408,866,752,662,859,933,362,242,402,991,730,784,521,403,513,545,249,786,
906,974,607,007,439,582,426,718,291,191,972,003,308,664,009,667,226,078,681,
030,442,317,340,283,144,216,441,547,842,012,201,890,188,618,334,686,444,817,
310,733,442,442,136,122,844,723,647,744,743,428,094,621,228,105,462,550,843,
731,353,774,720,981,378,732,308,592,267,780,897,271,896,316,995,441,579,932,
817,833,928,932,436,984,282,965,079,910,893,540,219,576,457,322,869,617,762,
048,428,099,968,051,106,817,567,693,298,178,538,493,854,131,629,774,629,529,
694,222,216,318,925,588,434,090,075,168,219,238,341,069,128,224,530,424,703,
396,968,327,613,254,981,232,024,154,572,549,863,364,336,557,637,080,790,383,
709,520,907,065,955,747,994,620,953,507,282,231,576,110,532,131,669,281,327,
450,421,063,560,613,749,558,685,608,108,875,742,524,455,037,345,446,754,149,
006,963,783,630,219,096,984,186,732,008,872,990,133,501,971,672,330,368,587,
665,722,092,560,392,618,342,263,216,132,725,409,624,591,526,949,644,776,702,
644,342,086,994,426,556,220,696,659,088,523,187,618,251,686,437,917,754,365,
550,624,894,029,189,711,918,363,385,080,503,257,317,316,002,529,382,155,684,
617,803,700,506,376,452,023,611,428,016,171,155,302,859,423,864,488,503,477,
991,316,335,578,346,588,524,818,459,224,504,716,867,653,804,985,781,336,980,
599,829,751,996,673,106,161,758,497,411,111,131,636,001,491,514,056,855,017,
401,913,119,997,692,823,239,494,066,686,192,372,475,400,049,418,050,578,056,
265,450,826,463,216,507,008,517,821,074,607,084,903,978,120,099,211,866,115,
523,655,031,335,897,935,057,558,196,103,826,731,783,437,779,425,601,242,884,
971,590,583,141,999,576,027,233,891,545,395,884,077,842,921,380,703,053,581,
287,191,705,261,363,739,195,907,591,293,138,803,655,584,989,112,978,033,974,
474,861,621,284,710,213,705,345,664,404,732,855,002,191,215,730,825,840,020,
046,880,606,391,898,824,805,042,145,105,692,892,236,273,524,054,212,733,361,
588,881,584,100,060,148,903,294,770,451,403,944,050,447,263,437,177,558,344,
932,384,325,409,872,664,009,740,713,395,301,089,769,141,197,294,872,826,638,
374,656,225,105,784,556,631,963,127,913,510,431,983,026,573,844,022,936,923,
395,713,359,649,437,848,872,472,232,610,530,856,055,693,544,403,758,397,284,
510,729,110,325,729,692,757,650,499,678,143,233,020,790,616,973,818,157,032,
979,437,344,987,055,607,739,246,737,434,790,280,810,773,200,897,045,174,122,
817,658,288,928,079,588,196,049,896,630,319,787,317,453,457,715,869,383,338,
968,624,393,827,267,299,287,828,531,358,289,276,211,185,890,851,495,461,062,
460,797,913,513,597,828,106,650,473,293,952,930,282,016,237,973,726,051,742,
065,451,080,004,896,325,715,862,075,483,466,060,364,591,110,247,909,975,516,
284,036,845,074,320,825,364,406,559,392,726,453,763,686,101,129,915,010,576,
648,496,541,580,694,545,070,932,380,985,622,828,475,842,373,997,660,387,465,
542,907,197,617,465,869,737,784,435,706,163,504,742,057,935,095,626,695,413,
767,090,257,624,003,181,898,576,215,973,685,966,442,088,306,050,284,584,538,
729,530,308,109,274,264,792,022,001,901,292,373,473,519,013,640,122,202,056,
603,522,914,204,706,849,933,705,056,307,427,471,143,778,587,385,914,555,971,
112,805,874,416,690,749,443,685,868,344,094,685,304,999,643,086,713,513,232,
387,179,753,372,180,580,394,451,219,167,654,191,308,786,144,812,262,863,618,
499,574,121,032,641,819,271,611,922,211,550,616,355,537,425,582,013,646,181,
108,668,276,437,426,485,878,232,737,416,217,231,493,986,084,198,516,394,788,
999,610,167,340,908,971,565,256,197,882,743,765,812,554,903,017,966,772,131,
418,925,965,525,156,259,660,362,345,825,080,697,335,906,217,260,435,614,704,
418,717,136,694,810,265,904,177,249,506,918,706,631,656,492,585,043,381,127,
663,289,389,756,121,899,440,180,764,881,381,323,763,294,373,124,764,917,923,
593,244,927,507,036,405,505,932,555,206,201,542,016,630,706,562,802,861,034,
524,982,634,142,299,004,346,903,042,260,731,249,238,507,828,007,404,855,907,
323,075,991,896,080,259,967,415,983,156,177,575,440,320,201,470,089,272,425,
877,753,247,329,432,615,502,331,339,171,298,748,520,443,396,101,542,303,516,
811,723,883,087,304,262,439,077,975,449,068,739,379,508,419,991,140,229,510,
895,987,777,951,978,758,631,146,900,988,648,910,039,421,782,211,305,435,559,
764,793,744,019,500,632,669,811,127,652,241,658,180,125,081,897,621,486,275,
239,979,628,534,831,522,024,493,923,046,864,480,630,439,056,677,313,479,268,
651,530,406,283,378,298,945,118,471,318,226,432,241,121,575,998,905,646,626,
075,214,871,229,904,212,460,684,246,653,468,266,862,426,031,137,479,926,926,
304,219,556,783,699,584,270,882,114,489,559,146,217,603,690,742,001,720,262,
788,982,205,710,244,148,714,544,322,741,318,021,450,550,849,936,809,335,478,
001,836,818,862,583,366,370,582,223,997,937,142,230,126,056,944,318,376,386,
343,920,121,766,201,107,130,316,566,360,170,177,781,945,409,385,947,356,642,
198,935,168,422,547,527,961,531,842,071,532,822,453,830,162,384,189,106,878,
216,272,099,171,750,799,418,237,822,754,949,708,773,439,351,172,431,899,546,
608,687,403,050,992,266,253,069,311,812,465,351,344,725,922,995,185,534,915,
063,899,585,791,008,679,892,221,499,408,026,189,276,023,031,481,136,001,992,
790,614,533,132,789,879,061,814,441,698,973,135,090,978,953,959,576,525,309,
684,425,110,039,907,706,495,433,287,773,627,346,737,142,460,071,874,740,800,
404,910,685,599,076,777,813,767,937,025,993,601,288,131,994,676,933,190,771,
181,910,411,850,468,666,718,070,189,700,164,690,845,509,379,178,682,270,913,
296,932,940,996,403,953,186,001,394,011,253,252,657,362,281,044,400,180,265,
431,685,399,004,623,658,232,490,678,615,525,529,123,191,159,333,995,480,323,
776,586,648,269,704,251,450,036,957,052,119,847,311,919,023,029,716,503,172,
952,061,735,298,507,275,292,887,691,787,254,347,990,808,018,088,210,203,783,
310,780,952,120,315,280,592,971,766,759,683,363,751,856,610,412,255,118,902,
480,069,809,402,390,781,833,169,644,030,063,962,651,011,776,407,199,236,129,
883,077,056,007,912,076,662,857,533,084,172,859,151,925,254,555,906,735,416,
341,008,249,633,443,592,377,675,981,915,614,396,196,849,365,914,172,599,854,
956,441,591,957,984,975,861,054,592,883,633,887,008,972,143,911,681,877,020,
449,686,609,975,807,824,648,715,352,596,998,899,162,094,047,095,922,938,722,
413,637,863,034,633,106,902,924,063,942,015,686,424,036,970,466,791,641,118,
168,060,029,606,181,905,999,107,075,348,060,422,690,725,346,230,498,686,102,
490,581,053,947,048,304,851,318,291,619,181,382,327,180,232,944,378,464,369,
520,002,483,447,152,311,893,791,881,021,407,210,206,022,545,373,573,463,629,
098,216,815,985,470,012,077,686,931,061,838,646,483,359,163,312,301,401,278,
060,495,151,896,614,052,379,797,289,584,254,856,545,979,128,620,711,489,815,
338,186,198,409,424,930,945,896,219,440,436,790,617,628,658,235,126,743,986,
211,754,224,319,830,022,959,449,374,694,975,062,220,634,171,649,963,585,205,
347,763,867,119,599,440,225,541,940,809,599,235,664,646,512,248,697,200,977,
818,904,715,732,862,696,252,505,217,502,173,156,633,685,333,398,390,719,098,
464,580,905,766,710,201,809,789,660,550,861,781,768,819,995,181,516,354,696,
518,720,408,131,810,630,362,312,962,915,046,576,330,532,979,430,133,321,788,
680,920,459,344,202,027,979,500,841,101,012,430,778,908,925,256,626,645,677,
635,668,932,979,506,040,825,691,317,896,717,850,683,476,805,897,852,961,961,
039,442,420,575,103,651,823,884,611,688,253,875,187,305,684,737,911,481,938,
968,496,525,790,605,577,820,605,041,576,553,507,296,249,744,303,822,995,282,
358,035,237,685,260,545,799,626,098,346,118,687,684,972,819,864,290,596,755,
333,862,443,522,081,812,974,253,952,242,840,515,454,945,644,783,986,465,424,
793,501,644,138,818,957,758,861,450,623,571,990,386,719,488,364,463,271,078,
700,255,653,996,170,086,029,237,742,574,483,314,364,207,076,940,363,895,090,
613,554,153,412,910,962,896,216,863,255,059,878,586,353,907,205,461,761,288,
639,223,885,529,230,693,062,878,213,290,693,171,463,895,633,753,120,806,269,
415,128,240,762,921,936,571,774,899,413,868,541,294,783,988,471,718,863,452,
346,448,344,692,288,635,523,056,554,334,186,914,291,000,956,244,457,234,050,
100,601,097,985,195,884,200,175,120,063,686,038,752,871,898,562,626,975,028,
356,362,461,437,038,447,657,332,742,983,546,316,467,975,982,040,233,160,913,
140,791,292,845,817,856,085,157,171,925,291,456,260,362,425,884,438,638,570,
852,341,797,323,245,763,149,148,182,613,917,973,419,716,489,294,002,569,437,
871,062,519,840,587,048,598,637,534,675,534,684,644,149,403,881,646,969,766,
870,902,789,695,323,571,061,919,875,664,502,525,855,559,191,467,166,982,852,
408,653,471,159,605,107,301,049,260,160,204,843,103,012,416,661,282,657,638,
115,078,414,858,697,758,008,229,148,316,776,669,095,834,660,179,298,005,915,
253,410,936,369,164,848,374,746,216,695,907,208,172,597,009,687,430,731,010,
080,209,853,945,198,980,075,563,341,445,253,451,411,660,501,484,363,938,462,
179,333,771,834,713,263,382,581,191,501,200,297,547,894,046,717,594,625,353,
503,078,753,210,362,300,129,966,249,358,730,969,249,070,393,330,502,914,815,
306,308,975,439,603,887,082,310,445,449,159,832,433,326,470,773,327,151,574,
764,301,136,191,852,943,435,916,898,946,449,701,561,047,834,611,580,026,905,
323,449,280,378,763,320,124,021,205,244,104,900,457,503,772,892,248,456,626,
340,055,555,085,894,662,945,576,768,644,427,361,258,003,079,311,415,271,269,
375,382,221,947,105,559,458,129,047,613,945,139,394,802,870,589,564,198,538,
410,383,709,628,034,196,629,911,825,513,853,364,565,134,716,855,485,103,671,
696,904,616,024,465,107,480,145,471,693,160,641,340,642,742,550,700,220,994,
458,355,970,940,860,554,432,704,243,508,348,225,777,896,143,010,115,008,521,
904,304,365,017,435,706,579,976,311,487,668,284,810,896,550,794,395,742,429,
302,083,965,832,873,785,750,929,771,537,545,775,856,975,639,528,406,698,847,
359,699,883,106,424,263,570,913,911,708,226,105,016,303,729,578,381,002,788,
132,337,279,382,341,564,945,907,629,405,906,559,794,260,443,800,692,380,803,
472,573,887,860,665,102,909,371,680,816,571,708,013,044,547,295,005,873,940,
752,866,811,787,713,783,490,647,563,600,588,112,269,020,029,898,969,183,061,
632,123,527,514,561,304,967,683,015,274,102,448,502,709,284,174,361,392,162,
384,822,110,710,921,579,205,874,997,757,614,835,379,081,348,150,691,807,473,
608,763,450,624,328,478,811,577,237,200,849,582,322,563,332,791,136,583,094,
452,992,624,802,679,302,921,896,611,760,631,930,223,024,076,347,239,551,745,
315,884,419,760,814,233,369,091,900,761,709,903,123,732,097,004,143,172,791,
635,790,220,726,272,923,380,897,812,378,845,099,666,024,288,864,196,610,372,
333,788,284,528,765,233,466,493,733,241,960,908,151,999,465,977,956,062,493,
462,789,448,212,046,997,928,003,581,770,745,339,657,292,739,758,085,641,055,
245,370,646,139,586,904,898,829,550,020,142,004,748,085,956,755,699,883,489,
248,539,938,600,301,331,650,606,951,981,369,049,491,289,188,728,214,119,196,
707,836,415,728,318,691,872,302,967,774,460,286,687,445,314,708,809,624,446,
317,723,583,734,180,289,632,859,898,120,582,763,735,334,350,844,229,445,464,
828,786,446,382,530,615,953,660,176,347,468,317,491,957,239,895,088,178,324,
633,546,358,188,479,353,128,418,349,863,801,227,531,782,615,614,431,768,384,
729,631,649,648,496,335,326,823,753,404,016,335,404,467,810,367,948,906,054,
569,470,169,525,568,864,249,554,391,722,699,278,086,204,578,971,812,996,415,
791,160,578,099,595,753,667,679,849,634,155,935,971,405,755,489,823,402,446,
402,815,637,656,669,003,759,584,322,901,048,613,651,637,233,143,811,988,869,
228,852,510,068,132,763,238,601,795,541,298,336,832,640,168,477,872,678,636,
408,212,851,028,125,632,677,133,613,989,198,356,320,368,579,028,199,177,261,
677,001,420,354,434,306,903,410,715,025,151,042,211,181,824,984,971,235,313,
736,455,223,792,741,809,822,390,543,263,007,574,462,454,618,042,843,743,727,
755,064,704,699,700,053,440,201,360,836,209,761,528,711,493,984,348,253,600,
144,197,453,586,977,036,069,239,372,247,786,562,499,316,689,955,069,682,705,
978,564,471,842,010,359,104,356,171,137,853,434,771,776,073,427,014,287,817,
218,530,145,878,441,977,568,458,788,547,820,201,756,229,353,372,369,287,278,
851,261,226,049,584,573,743,750,586,755,109,810,393,518,950,420,245,741,132,
908,673,532,558,849,390,293,250,976,026,251,626,982,718,983,063,709,650,268,
189,831,892,045,253,529,886,742,884,546,880,219,148,202,495,375,224,957,484,
795,095,166,100,054,803,313,096,477,072,119,589,353,983,816,717,410,411,756,
845,642,700,731,359,586,990,061,397,494,716,746,038,540,823,868,739,795,659,
233,759,197,437,192,911,588,518,462,653,358,876,714,502,847,124,368,586,794,
219,995,050,448,522,534,236,421,286,395,575,617,934,891,269,553,872,123,915,
806,177,666,273,162,615,934,196,142,815,895,196,491,245,597,616,382,795,611,
196,805,919,970,326,466,970,141,536,386,599,248,394,466,437,429,113,274,756,
228,789,656,988,039,244,598,576,389,701,399,542,289,654,977,402,888,814,467,
209,246,105,151,357,559,965,873,409,013,456,774,277,704,442,911,080,737,033,
633,675,609,593,807,947,058,088,976,053,196,995,953,609,931,598,014,967,029,
525,091,805,984,105,014,253,870,269,855,253,908,604,309,908,189,792,282,270,
700,724,459,834,521,335,739,316,608,885,267,992,559,420,902,118,711,408,616,
687,796,819,586,464,013,932,594,512,008,935,681,291,083,940,888,895,340,804,
941,161,204,270,238,993,710,665,387,378,817,827,985,997,075,633,593,308,170,
528,840,145,736,756,210,669,818,716,642,286,224,809,200,462,289,963,827,271,
184,751,063,233,192,963,165,723,627,386,298,660,929,795,988,810,214,352,306,
896,073,099,438,272,775,005,763,827,176,791,950,578,114,896,120,809,212,389,
525,618,840,507,025,217,055,743,411,820,811,362,955,521,284,591,072,028,129,
018,011,782,684,010,119,489,222,753,595,932,526,053,135,652,663,112,532,897,
415,278,606,729,015,590,064,212,958,784,082,986,764,830,144,220,611,127,814,
693,134,269,349,606,288,451,938,717,625,891,536,337,282,882,993,679,726,571,
263,713,237,544,848,756,655,708,920,649,125,257,264,059,974,549,471,043,833,
274,718,484,696,428,262,122,155,215,753,905,058,794,243,723,198,379,012,312,
842,189,186,576,729,199,549,699,385,634,718,202,752,661,607,671,857,829,350,
206,520,251,071,988,510,249,869,118,321,161,923,238,654,769,056,394,523,173,
397,363,868,278,245,978,931,286,062,996,215,684,809,410,724,262,214,571,676,
547,271,624,640,358,690,951,235,975,299,331,785,166,172,709,179,408,904,730,
848,752,902,032,558,884,351,458,473,412,117,682,179,292,098,506,148,058,960,
660,605,609,811,233,119,605,293,834,129,688,377,680,367,661,079,860,834,978,
261,671,914,504,602,628,468,481,106,930,263,420,598,307,571,990,526,607,772,
232,010,376,699,802,464,594,650,832,594,353,875,542,834,999,540,239,864,525,
712,907,700,017,033,991,587,011,957,025,915,698,499,646,759,035,579,374,387,
752,600,824,195,749,527,948,181,950,715,606,394,430,105,931,447,980,507,358,
750,899,360,033,513,799,328,205,971,721,583,965,044,248,301,003,729,571,293,
227,502,690,201,345,392,559,871,549,371,235,447,750,217,604,495,709,927,580,
465,100,074,108,652,533,293,062,860,173,313,393,000,854,956,407,896,552,504,
491,920,710,061,728,918,371,070,748,845,415,097,591,832,305,494,847,857,417,
578,706,061,917,528,897,690,321,397,469,568,794,105,672,281,890,223,685,010,
833,398,557,130,006,632,316,911,705,264,709,578,974,993,255,046,314,073,282,
545,112,718,773,578,981,239,849,744,331,706,862,683,813,246,819,710,924,226,
489,606,464,865,838,064,359,580,006,790,214,438,595,808,437,335,902,647,915,
872,349,708,473,561,584,747,475,098,495,129,507,872,970,481,002,030,695,628,
919,254,656,030,671,599,734,407,646,115,279,953,125,591,324,247,951,903,799,
881,251,134,643,733,877,713,016,268,385,883,867,803,463,470,379,799,876,253,
163,316,254,443,440,282,859,550,170,019,312,151,750,728,704,825,304,379,160,
111,402,852,491,900,868,229,750,942,143,832,452,443,881,389,171,597,495,527,
027,220,549,310,398,839,605,669,708,226,735,196,924,725,833,406,524,987,171,
928,380,378,925,534,820,176,120,633,951,808,899,738,765,459,243,489,985,007,
136,767,825,561,297,927,375,152,831,430,291,119,239,481,537,057,838,761,147,
056,083,855,554,455,733,342,507,094,296,912,446,752,046,575,756,796,472,451,
852,892,226,245,257,069,733,244,912,449,760,663,828,805,823,808,532,289,399,
513,279,560,562,417,295,122,982,816,838,933,869,717,429,062,455,231,306,559,
048,176,694,423,182,806,026,130,864,305,749,056,623,231,562,935,486,690,694,
108,722,617,817,921,595,729,200,751,519,285,307,593,400,341,174,450,723,526,
687,859,113,712,402,527,063,008,386,701,942,716,654,519,329,360,168,874,177,
155,481,907,134,233,347,480,054,136,926,192,511,553,532,274,626,231,677,525,
003,068,601,916,716,910,944,677,181,449,441,740,107,327,293,746,408,289,826,
339,307,945,292,806,384,665,056,464,008,118,190,251,580,812,582,064,429,341,
890,721,857,438,151,356,710,938,346,069,990,657,045,731,617,172,330,022,080,
723,393,571,431,737,052,499,000,543,451,200,660,183,235,144,637,019,579,662,
710,996,582,588,647,797,631,867,895,017,182,620,487,425,339,085,968,019,662,
100,204,521,778,440,309,293,359,733,718,894,321,566,888,228,510,898,975,226,
370,246,901,159,961,029,706,056,827,271,089,301,791,097,838,902,850,439,971,
663,880,711,232,096,574,552,690,431,084,123,653,427,561,410,724,656,023,983,
871,381,853,688,336,085,893,008,844,978,272,439,191,168,033,396,985,598,165,
307,604,635,893,902,515,785,945,161,538,343,697,241,581,222,718,791,987,565,
297,409,851,858,190,921,186,666,413,952,281,637,738,675,331,980,621,962,820,
721,246,497,024,994,834,548,916,850,104,850,239,603,461,714,885,650,521,618,
521,517,914,974,643,893,735,482,058,121,379,894,744,259,943,377,081,426,639,
145,336,911,232,432,565,507,303,541,107,120,897,206,939,250,481,400,494,664,
572,936,348,748,732,006,628,262,529,372,226,121,763,676,896,207,849,056,995,
211,186,181,190,472,412,725,141,477,563,194,529,105,640,562,210,050,040,639,
022,607,556,548,522,349,231,974,647,561,347,056,654,334,929,532,231,931,147,
367,482,404,326,701,659,029,329,545,687,923,160,315,021,097,689,591,661,232,
643,786,793,898,042,970,979,702,750,432,684,492,633,549,026,289,953,864,910,
015,680,850,061,430,362,862,047,619,500,731,410,127,955,304,246,251,567,230,
644,162,128,623,115,205,009,592,004,471,769,230,742,517,054,684,029,653,719,
593,724,072,035,092,629,822,356,570,467,884,549,591,068,057,648,488,676,669,
246,325,975,239,006,353,698,035,321,038,164,024,890,114,552,544,215,423,660,
515,815,607,392,370,610,772,227,718,979,984,030,217,126,023,373,102,799,797,
161,319,463,419,912,912,231,719,149,252,817,218,930,016,609,598,718,893,920,
363,403,168,594,690,068,966,011,129,359,205,484,680,158,732,715,055,058,849,
902,371,128,028,931,632,150,628,885,459,584,053,306,160,080,505,941,490,402,
662,846,690,789,877,875,328,376,064,584,092,556,188,622,837,143,980,880,842,
429,896,182,982,465,492,609,413,589,245,871,853,088,184,066,068,291,586,712,
806,706,287,014,059,414,107,350,144,123,475,081,262,596,744,875,891,194,486,
595,489,761,879,838,942,507,332,637,762,808,824,548,714,345,790,145,913,498,
201,352,814,519,121,086,571,117,187,636,141,798,539,215,197,413,740,377,058,
059,764,608,126,942,573,071,709,358,331,457,447,176,344,329,486,484,362,510,
895,241,480,012,269,617,687,452,184,674,306,516,702,020,824,494,351,764,073,
971,941,026,055,681,826,953,700,409,819,134,124,771,027,750,847,291,834,917,
988,780,697,936,354,398,337,569,266,843,171,802,213,033,890,992,864,191,750,
971,902,702,571,485,816,788,032,697,804,578,529,115,561,215,701,657,913,878,
728,600,490,915,332,281,380,017,815,274,458,519,745,111,164,969,782,717,961,
039,605,420,710,232,929,065,134,721,066,202,886,234,837,805,058,577,716,636,
733,815,280,047,399,391,035,177,068,002,174,053,632,498,560,136,428,605,859,
276,506,034,234,652,239,888,241,273,383,380,977,318,144,855,201,541,803,925,
865,305,734,755,922,308,738,122,049,418,052,710,396,627,667,981,921,602,225,
227,282,010,225,370,396,745,169,790,025,524,303,416,764,670,688,447,210,105,
266,163,814,857,733,544,396,359,103,311,708,495,435,159,036,474,893,275,339,
977,483,919,078,924,451,228,336,248,640,004,230,965,320,082,929,982,774,369,
997,919,421,364,698,443,490,105,520,651,891,781,902,514,078,187,242,136,715,
797,701,359,470,636,556,150,509,303,610,022,867,644,874,272,837,258,936,688,
767,038,807,611,008,804,302,909,014,587,248,040,630,634,186,249,625,651,824,
778,043,354,125,399,243,237,662,515,621,912,568,030,979,662,844,165,298,026,
118,562,077,178,408,567,608,917,210,606,327,324,200,994,141,955,740,069,217,
693,030,799,646,544,487,805,214,389,932,712,631,265,619,820,943,012,310,221,
204,571,717,095,910,507,593,427,084,704,392,973,316,124,366,675,012,316,372,
308,272,618,246,887,326,791,957,755,760,592,469,485,058,701,471,836,946,983,
544,669,700,995,195,455,417,911,236,623,498,021,451,320,280,560,880,013,901,
993,242,710,355,961,297,315,412,502,748,945,524,522,400,251,815,706,788,466,
160,846,668,518,449,570,129,753,663,382,388,594,097,129,193,378,216,636,769,
988,661,423,761,962,956,672,432,859,353,645,046,281,883,155,157,533,221,483,
662,833,862,621,425,000,162,579,102,319,795,895,344,905,244,164,037,052,730,
077,446,490,669,567,428,956,848,858,393,938,935,649,147,374,748,561,143,261,
703,914,199,248,469,543,208,128,999,314,645,068,651,184,955,852,376,968,855,
948,130,143,823,457,695,741,168,994,559,069,936,673,415,736,451,208,458,443,
897,822,732,430,426,046,507,135,378,152,550,463,584,787,526,514,231,324,128,
362,247,019,567,887,105,057,021,503,134,650,101,932,948,357,744,325,420,567,
875,468,047,068,337,769,257,029,515,264,975,620,734,411,440,548,637,412,023,
624,294,402,323,267,233,043,546,822,875,157,168,621,382,396,903,532,588,842,
804,646,930,533,892,983,933,630,337,815,209,641,673,003,396,108,206,355,362,
219,590,143,661,875,238,073,107,897,328,014,966,003,658,667,686,183,259,536,
334,654,675,101,718,151,181,271,598,215,248,098,363,807,793,957,891,232,867,
686,116,396,870,394,126,551,383,972,492,381,275,811,965,040,698,733,940,801,
697,351,504,873,086,238,932,700,342,569,822,347,435,887,541,843,209,052,501,
442,893,974,440,016,445,054,241,318,762,241,209,611,029,172,557,840,444,913,
464,994,696,332,362,921,608,129,514,781,387,883,135,861,081,719,265,163,426,
189,025,081,916,907,390,913,145,474,694,013,993,824,553,992,081,658,883,709,
887,180,619,945,558,640,510,649,823,437,800,717,369,171,643,881,014,536,160,
043,555,696,389,057,772,151,867,616,045,706,625,316,850,935,989,286,126,175,
436,517,379,479,332,524,250,059,576,314,363,020,880,985,969,176,442,512,277,
974,797,195,685,244,371,131,907,533,731,366,372,343,966,782,234,666,882,156,
825,740,864,105,609,036,347,544,033,545,122,507,845,596,897,747,488,319,435,
753,508,489,741,381,053,034,562,472,482,768,018,748,507,798,763,050,038,919,
947,262,653,331,834,337,267,953,668,921,789,063,347,656,508,520,700,541,986,
708,417,402,250,429,948,244,309,623,584,280,923,384,933,071,371,724,741,081,
892,588,570,067,031,720,735,188,367,519,460,311,631,132,807,873,282,339,792,
878,040,128,336,145,262,719,810,986,944,064,608,572,383,491,578,777,932,383,
041,095,788,433,335,438,274,153,658,520,270,996,333,869,029,614,666,466,998,
189,822,144,633,398,423,387,109,806,610,634,494,730,472,429,249,380,493,803,
879,125,720,171,978,006,995,985,933,834,081,178,897,735,646,854,254,682,740,
597,503,357,157,481,305,486,702,160,226,944,178,641,118,236,381,404,989,226,
202,881,951,653,568,454,366,916,942,718,464,356,642,747,741,005,252,604,461,
146,563,490,982,973,021,251,137,593,264,669,013,210,005,594,553,396,426,803,
537,741,968,504,207,298,368,541,100,815,455,509,102,972,611,320,489,225,362,
016,450,384,117,949,897,293,897,084,821,019,862,869,350,549,530,235,622,834,
955,697,486,321,463,501,805,190,320,660,380,481,149,809,210,963,758,841,894,
976,115,738,632,576,901,765,290,430,326,075,764,519,586,850,058,755,677,297,
408,213,491,562,366,518,434,078,526,867,377,275,349,682,267,059,530,759,336,
665,639,941,735,274,055,912,708,778,653,562,011,698,554,480,458,903,959,559,
251,626,576,537,396,475,053,754,368,355,956,007,102,492,128,728,563,782,751,
298,117,679,976,594,145,917,245,359,090,939,106,333,268,539,042,856,016,328,
663,639,290,607,212,866,887,276,370,785,550,704,588,193,460,350,108,361,966,
350,665,120,912,780,764,075,089,588,112,665,350,005,993,847,422,065,758,354,
396,497,907,517,266,553,745,619,372,973,726,299,553,364,047,795,707,339,654,
134,066,318,951,509,577,037,787,022,966,929,517,750,520,953,637,272,589,282,
447,035,248,410,668,013,117,545,868,213,914,278,730,395,570,546,330,750,884,
805,853,850,037,326,321,911,010,629,819,133,718,920,554,111,891,145,872,389,
038,079,475,480,935,245,472,711,003,863,358,004,784,518,401,165,122,433,006,
435,781,671,714,369,227,547,292,517,928,549,478,813,097,160,807,173,020,951,
740,212,647,160,849,637,322,767,865,143,835,486,283,852,205,694,719,323,829,
730,347,925,987,502,825,706,077,962,155,793,460,812,985,765,041,285,284,103,
667,504,487,784,438,465,785,989,741,854,807,152,224,442,547,410,436,898,509,
524,582,265,061,182,510,005,990,697,322,924,493,960,426,712,532,510,329,481,
241,745,702,945,144,056,302,523,606,036,100,740,155,558,068,055,742,876,820,
981,272,172,180,855,714,073,257,076,564,022,451,338,169,304,224,955,786,926,
185,009,299,389,937,008,421,676,933,704,461,829,188,154,147,247,349,003,221,
991,687,815,357,885,619,943,408,779,182,195,534,729,171,149,147,781,616,442,
942,033,493,944,739,799,616,713,153,432,736,903,906,271,280,913,344,923,324,
680,328,847,540,310,273,143,611,437,337,737,598,982,701,802,525,309,328,040,
138,304,472,606,330,056,960,071,362,919,399,648,700,747,483,179,862,811,643,
790,027,937,992,553,166,851,192,645,978,779,338,760,294,529,384,582,697,488,
094,101,128,542,869,474,492,392,412,151,535,706,591,407,542,873,930,536,144,
351,774,428,371,320,905,989,666,800,554,896,409,278,546,466,075,546,058,508,
584,192,771,576,693,827,636,382,039,970,204,020,003,739,592,397,247,248,739,
840,611,777,415,320,385,460,343,123,441,938,652,955,770,104,165,970,548,516,
715,930,994,435,121,512,439,370,732,460,831,423,563,502,698,556,503,718,720,
097,726,612,532,154,021,233,511,660,517,374,244,246,991,095,324,366,346,714,
163,536,921,347,298,788,044,157,889,805,490,050,643,467,064,764,003,759,129,
296,898,549,333,155,307,232,161,582,486,255,770,130,854,053,461,528,703,446,
413,155,353,984,562,266,253,015,999,985,859,241,671,145,172,170,051,277,320,
506,282,830,440,725,022,211,196,244,788,773,600,486,094,134,505,356,950,947,
071,518,442,301,945,261,647,351,041,078,118,038,747,948,836,946,279,896,133,
220,150,497,572,163,173,092,606,818,377,653,808,283,869,554,363,224,777,428,
536,564,870,565,340,845,213,203,764,013,050,432,094,395,960,339,697,688,433,
273,538,434,632,782,072,943,350,015,342,760,314,002,397,048,722,684,129,322,
566,754,559,844,448,146,544,011,336,456,081,939,172,224,582,826,635,190,444,
309,852,787,695,201,952,139,985,089,196,509,266,162,928,246,038,994,596,224,
310,805,051,283,798,554,850,835,006,888,942,009,397,335,600,714,518,457,569,
726,850,840,776,671,195,969,531,898,176,087,538,468,089,948,343,532,681,470,
107,780,876,464,652,810,714,630,417,706,384,547,136,556,833,334,431,618,147,
065,917,838,643,417,006,534,481,995,110,068,841,435,401,991,531,344,538,477,
084,791,346,655,113,957,915,993,249,834,408,786,382,660,751,896,924,985,235,
430,552,822,575,281,866,025,988,891,061,830,636,791,798,947,242,777,821,589,
431,649,764,420,700,892,054,818,824,463,788,646,744,719,010,473,318,561,969,
528,501,032,187,675,148,609,959,143,202,301,608,124,366,579,182,117,468,786,
967,722,489,936,199,236,438,559,895,685,741,831,710,485,389,288,141,009,195,
116,889,655,346,020,240,474,084,982,021,289,048,172,965,934,983,524,953,243,
724,381,781,247,860,048,898,100,127,037,256,504,968,735,455,715,434,953,766,
516,132,730,137,880,925,953,260,847,621,328,307,656,432,103,863,850,869,837,
925,251,509,865,177,605,642,730,200,721,876,874,972,238,844,666,761,964,925,
952,627,074,739,816,432,341,990,326,831,945,592,439,308,238,673,646,428,933,
460,202,156,307,660,471,368,680,351,991,180,875,688,333,459,838,596,559,561,
697,407,098,136,252,010,707,554,372,960,472,445,586,468,946,481,433,695,187,
540,737,094,199,211,281,394,095,828,117,471,449,069,715,466,740,238,326,496,
943,398,017,775,230,439,199,737,661,337,905,223,208,831,372,411,814,055,058,
105,400,973,901,414,007,356,330,630,804,649,113,217,628,570,634,434,442,823,
425,959,738,629,373,963,673,072,650,897,282,861,616,631,522,744,595,130,347,
760,112,091,498,880,829,572,866,602,916,263,295,743,972,147,151,390,077,101,
321,825,785,018,416,021,980,519,109,550,267,805,793,412,917,143,503,910,756,
948,551,606,363,955,628,514,399,176,299,988,731,373,984,512,910,002,233,810,
997,944,645,915,613,589,532,957,368,454,861,779,526,308,214,309,504,732,941,
870,490,462,568,174,864,736,536,496,555,699,661,137,492,816,759,237,388,864,
870,847,205,560,615,606,654,795,186,744,616,380,174,142,573,194,340,299,218,
265,374,366,240,158,886,213,503,387,583,633,025,888,547,781,436,442,695,064,
674,775,782,286,075,900,741,961,465,560,211,679,677,575,488,448,846,306,798,
939,424,155,464,215,461,881,174,352,173,466,920,151,984,699,164,096,230,237,
642,484,679,262,920,030,815,517,205,322,259,760,344,610,923,494,044,904,340,
270,602,999,403,472,338,510,413,746,355,657,710,678,496,820,107,494,650,920,
033,412,834,806,003,450,036,307,599,111,237,621,560,914,171,720,649,810,969,
298,499,492,770,028,513,445,891,398,950,159,726,419,890,532,537,670,396,983,
560,664,550,935,113,522,608,299,421,306,959,606,065,916,580,793,288,710,740,
373,515,180,413,756,909,761,554,474,646,021,852,079,457,709,012,716,400,312,
882,862,878,239,407,585,179,608,457,915,714,394,595,618,283,998,936,959,773,
297,385,169,268,055,511,767,820,268,888,810,717,250,235,218,194,052,914,527,
616,814,000,134,506,314,742,286,167,096,457,333,258,138,906,973,933,641,794,
128,190,992,615,497,018,304,030,186,793,094,223,672,007,086,811,951,783,840,
860,998,257,591,565,576,302,667,769,321,715,800,937,129,277,825,374,660,951,
624,078,480,560,474,272,036,709,735,683,243,016,296,545,702,778,886,341,789,
744,613,999,615,784,228,236,479,319,998,609,180,799,260,094,807,361,398,333,
565,194,993,363,075,266,942,931,090,210,289,462,903,312,950,038,008,808,080,
101,285,269,165,433,969,008,769,101,186,034,671,430,485,713,099,287,485,821,
924,420,005,860,132,071,069,690,267,332,043,870,468,384,690,530,692,994,006,
754,981,543,601,667,371,950,991,374,922,862,449,692,796,300,269,833,385,235,
465,851,970,455,262,017,455,645,161,827,391,537,729,828,967,576,441,097,032,
751,769,504,540,298,554,449,303,980,040,461,104,453,707,714,766,447,624,841,
886,251,091,522,585,810,969,801,537,350,072,161,210,168,159,348,746,229,403,
557,485,001,658,915,087,915,553,906,709,459,953,222,216,784,602,284,886,608,
024,225,320,658,755,058,175,232,625,011,514,470,864,251,438,853,470,216,655,
229,716,530,157,073,062,497,946,340,920,044,310,885,855,754,414,493,901,966,
918,356,248,727,382,409,386,615,115,531,967,431,325,341,248,233,286,597,468,
045,756,462,303,561,509,789,146,669,202,408,487,235,265,110,273,762,954,640,
695,166,581,340,051,336,975,537,194,813,314,985,917,334,817,942,918,201,288,
142,036,094,730,954,455,978,005,143,311,238,415,015,457,713,972,462,002,074,
649,255,408,173,898,433,446,012,681,532,260,308,759,099,213,165,788,496,617,
115,316,130,165,043,767,910,957,469,157,956,616,338,203,135,186,372,162,512,
081,512,930,962,829,792,131,752,166,140,250,857,797,619,697,171,739,426,499,
565,213,543,378,684,384,474,637,322,762,702,297,942,504,971,630,705,348,873,
246,796,660,549,959,970,966,061,300,987,791,199,322,333,110,809,164,368,625,
560,606,593,408,618,076,369,636,759,884,181,816,461,375,636,006,672,225,423,
518,040,110,447,987,363,924,180,579,236,649,268,911,123,316,193,160,238,203,
030,965,290,009,204,012,186,493,762,531,663,849,407,435,281,170,621,751,701,
253,626,449,848,715,771,924,006,821,884,258,538,471,352,463,585,990,236,848,
170,286,318,633,647,190,034,479,591,002,287,691,194,241,085,654,579,442,917,
420,511,369,308,743,575,829,577,187,178,496,144,421,051,780,081,236,900,333,
598,847,393,782,538,390,498,275,321,022,283,427,230,700,192,941,022,504,446,
894,752,405,860,290,625,111,289,570,776,457,261,286,976,838,603,060,812,119,
429,649,820,114,731,710,308,196,228,130,875,098,295,181,062,472,699,379,436,
577,371,615,125,964,057,034,394,174,768,703,200,115,325,050,458,017,507,047,
441,833,620,972,631,901,944,011,588,311,415,775,947,631,157,599,163,205,251,
214,054,407,704,154,371,708,321,426,905,837,655,741,580,866,874,788,017,715,
117,620,024,417,729,989,934,774,845,671,036,390,568,498,250,163,278,631,948,
121,035,435,501,575,107,565,586,337,745,596,348,295,606,571,018,938,269,606,
036,181,309,868,444,951,724,113,048,376,745,299,003,277,209,068,816,184,019,
733,947,204,901,137,595,020,549,193,692,450,079,348,315,749,513,717,341,741,
381,507,471,527,304,555,768,723,658,435,009,977,415,580,837,649,244,747,592,
054,894,708,481,342,128,766,989,752,535,936,932,852,024,389,514,601,138,055,
852,881,449,448,539,802,904,271,943,136,473,934,777,401,435,886,555,409,695,
061,841,056,327,818,702,505,429,152,282,521,925,769,048,065,780,786,671,052,
523,038,378,392,581,320,842,437,145,115,981,506,901,618,243,520,719,452,045,
484,280,019,373,222,963,884,380,381,449,578,948,175,108,703,523,698,010,406,
295,741,800,254,257,299,172,641,910,023,708,108,139,691,876,265,870,945,205,
175,007,606,090,211,803,366,388,945,606,183,941,685,467,300,397,415,053,406,
089,794,737,622,045,808,262,386,716,896,487,542,479,171,514,774,963,143,877,
417,455,588,656,631,861,768,705,123,753,043,063,126,998,226,180,543,006,649,
707,687,308,657,606,601,985,426,486,895,642,956,228,284,683,715,281,626,735,
585,464,470,362,273,217,290,989,155,941,009,029,226,572,725,881,698,243,943,
588,751,630,080,391,021,764,211,734,315,989,206,667,865,206,708,165,292,257,
672,567,147,884,868,132,127,904,617,498,200,181,234,164,367,300,826,091,115,
657,726,169,948,971,714,093,551,685,836,009,068,968,435,712,163,505,967,136,
196,406,931,605,838,373,967,602,953,914,700,869,160,043,744,458,825,164,545,
423,033,831,601,420,080,474,235,897,296,918,167,261,140,754,939,102,678,930,
092,216,160,579,759,272,957,406,977,673,173,534,028,058,625,740,972,014,540,
274,087,067,350,472,223,345,774,151,263,727,123,299,305,891,735,667,265,860,
684,327,515,168,000,224,637,231,761,261,630,278,346,591,962,833,397,802,204,
996,978,445,178,643,367,299,811,222,884,085,499,512,925,397,766,266,969,916,
767,898,515,930,562,361,089,496,189,708,486,003,490,574,234,733,422,118,034,
420,649,570,688,924,955,571,591,100,440,168,821,216,079,672,116,404,901,788,
819,236,637,422,449,467,276,934,177,370,383,867,906,077,091,031,382,586,154,
043,458,951,856,325,141,995,162,259,369,407,687,167,988,057,066,414,150,195,
153,277,901,383,848,585,139,307,599,032,282,229,904,322,677,449,339,115,018,
991,152,115,288,307,328,413,747,648,513,646,936,938,797,444,892,678,907,409,
930,754,310,752,746,294,564,533,318,515,403,332,843,767,943,146,066,744,769,
776,037,029,918,014,639,791,501,988,049,574,296,531,423,673,945,153,821,567,
222,044,011,835,707,207,241,981,694,805,206,975,125,491,241,987,766,238,696,
383,272,922,489,167,070,240,475,470,854,200,273,285,901,581,691,226,125,495,
979,385,976,164,691,644,987,398,612,925,094,291,705,992,259,316,441,548,780,
220,639,371,301,646,821,250,099,200,378,013,351,768,713,346,569,640,267,058,
041,445,911,110,237,378,350,166,349,595,200,655,625,902,688,596,003,586,425,
115,318,397,030,113,285,373,543,350,976,011,065,945,592,181,795,782,912,602,
730,840,823,147,032,614,708,288,954,391,374,324,749,313,731,495,508,993,972,
530,315,370,630,536,464,807,267,849,912,945,237,730,172,211,764,900,489,561,
234,078,070,169,451,685,195,359,047,699,250,439,410,276,418,527,826,128,736,
933,109,939,842,740,886,413,826,435,814,053,599,546,720,241,658,326,151,809,
572,465,936,083,094,138,009,831,309,994,615,097,740,767,623,504,317,788,220,
021,699,047,184,919,028,485,680,167,758,585,913,247,166,239,742,390,290,183,
221,343,340,877,174,148,907,351,928,911,625,538,812,153,418,966,531,509,452,
261,659,326,184,243,766,630,521,326,148,638,639,030,833,187,586,738,469,989,
634,334,304,369,167,693,186,470,384,463,004,405,089,811,418,179,934,802,344,
423,269,727,601,306,942,900,696,032,926,672,948,442,712,790,551,852,012,387,
167,703,663,886,451,571,233,548,980,905,807,674,334,632,166,275,404,486,448,
758,453,430,041,996,899,935,718,396,206,721,698,135,864,242,482,930,536,378,
604,077,362,093,594,595,925,633,749,757,869,866,145,145,783,559,742,864,455,
594,054,369,052,981,015,382,639,100,000,502,095,606,768,074,124,650,484,427,
685,533,431,014,917,619,026,401,263,166,624,560,688,816,876,202,369,153,242,
258,832,311,357,249,826,468,805,872,992,682,891,017,264,203,032,014,282,807,
644,473,758,804,661,188,372,046,026,115,175,524,048,643,061,371,157,913,294,
591,614,410,630,991,814,149,739,741,046,336,940,372,624,206,281,906,783,780,
896,447,805,762,934,848,650,711,935,871,536,517,900,330,649,079,757,934,232,
067,272,835,755,870,843,540,007,409,367,339,594,164,689,328,099,925,422,623,
402,214,335,197,511,772,379,900,422,773,929,125,130,322,472,250,964,258,206,
572,263,452,754,811,481,128,483,473,568,033,198,938,437,525,185,459,651,177,
543,510,956,478,112,288,655,934,729,892,284,477,050,484,782,328,756,073,214,
428,052,120,024,109,034,543,544,039,195,424,509,680,254,377,398,894,155,985,
967,992,063,590,931,030,366,293,417,790,259,572,454,371,772,311,523,907,680,
916,538,325,461,703,310,145,566,457,397,692,116,269,491,402,468,294,985,970,
982,799,405,379,121,364,982,831,432,427,286,791,862,866,216,113,876,264,303,
359,576,443,052,050,072,326,450,893,558,919,396,283,472,223,057,315,843,357,
690,613,654,134,944,973,416,956,597,419,494,628,100,158,428,811,233,501,516,
426,081,704,102,731,212,566,866,799,068,248,993,499,212,356,471,340,719,488,
635,454,048,892,765,029,997,404,722,104,278,238,539,182,546,965,195,698,348,
490,120,491,666,075,135,405,440,945,591,920,399,884,626,157,527,839,339,238,
771,460,513,735,360,724,578,355,080,918,305,784,272,381,734,960,986,705,115,
772,237,854,111,932,505,359,412,270,948,535,481,334,638,975,645,421,188,931,
971,104,555,631,811,558,457,035,266,084,963,541,886,039,141,126,759,211,013,
393,614,741,651,365,835,943,733,329,454,550,129,308,096,616,805,738,760,453,
357,377,297,488,398,652,208,249,735,106,588,326,958,869,726,061,525,109,857,
294,413,903,969,523,407,900,872,053,201,734,293,084,905,485,871,315,555,387,
023,651,786,157,901,891,272,207,125,685,708,564,773,012,818,092,411,744,574,
208,106,579,111,110,203,020,676,457,629,972,207,337,572,685,757,258,192,837,
969,321,352,671,815,774,183,367,115,076,711,065,837,513,771,954,478,144,987,
188,121,081,499,110,864,124,717,742,126,942,401,057,223,754,140,072,904,887,
887,756,355,845,703,145,176,222,965,875,026,182,870,350,846,447,071,219,478,
322,413,169,306,958,307,234,035,591,651,795,602,556,549,745,404,447,047,979,
712,985,375,830,564,153,313,716,302,361,699,106,350,140,416,010,662,272,473,
030,632,573,458,972,097,400,841,298,545,395,077,604,153,465,914,555,326,845,
515,152,212,918,750,242,379,788,906,612,935,855,923,183,104,372,795,692,220,
739,788,304,814,301,190,769,435,284,416,618,632,627,827,750,209,232,413,461,
092,331,592,064,474,122,617,493,163,709,495,198,028,471,160,268,192,131,154,
601,184,783,333,935,678,133,818,435,896,474,576,607,164,584,829,932,939,068,
249,710,703,089,957,004,907,329,130,191,214,347,797,410,091,366,949,811,258,
442,176,105,740,697,440,677,955,823,767,113,768,748,951,406,396,362,677,607,
419,902,042,044,906,985,174,445,878,083,789,216,930,762,881,659,420,394,471,
395,124,622,891,751,739,615,181,287,216,497,697,653,313,001,220,017,631,796,
542,676,761,656,215,374,815,532,647,135,967,522,660,126,452,474,841,225,747,
451,518,685,374,147,736,858,131,435,453,448,391,070,761,716,907,198,182,025,
650,431,973,930,720,790,385,050,832,956,590,809,706,985,163,582,110,981,551,
340,884,002,504,095,491,048,217,350,736,572,225,815,963,578,869,964,296,945,
875,533,745,085,575,700,953,570,518,181,682,484,414,785,705,407,154,459,723,
961,929,612,499,130,064,346,200,166,174,868,974,282,448,692,357,087,620,238,
093,582,359,473,076,075,227,870,992,229,218,405,161,444,726,674,709,360,030,
641,162,986,471,085,599,205,069,730,995,761,454,250,354,850,301,304,654,927,
514,880,220,706,936,386,562,649,324,112,379,628,420,142,671,841,581,834,856,
367,663,831,442,826,832,867,924,409,885,131,536,257,811,408,269,631,955,883,
673,519,638,208,865,458,028,627,058,993,810,093,178,312,730,376,431,614,294,
508,593,972,470,448,471,845,692,425,663,810,975,501,577,071,451,082,353,823,
027,026,182,016,130,947,279,408,706,157,417,482,599,133,765,879,229,025,253,
435,007,916,060,369,852,303,445,859,546,789,727,151,185,070,461,508,063,194,
030,750,434,577,839,955,730,427,250,702,302,225,843,663,877,434,959,031,432,
242,623,877,270,657,669,065,140,345,331,667,645,172,788,981,388,687,458,774,
052,129,274,505,924,395,673,870,755,672,996,563,256,161,135,241,157,977,310,
758,973,363,300,644,947,081,500,739,985,899,257,389,848,704,872,398,155,884,
992,722,712,012,543,951,960,168,613,693,121,461,591,038,464,449,005,347,403,
426,064,116,491,494,707,150,593,805,474,663,972,018,681,639,451,562,445,508,
318,609,623,699,996,172,962,908,750,703,572,884,267,921,567,319,828,318,824,
313,718,570,498,439,760,997,873,318,082,014,761,561,086,409,650,542,393,362,
126,054,798,018,976,934,419,062,554,840,167,088,544,075,339,779,345,969,890,
632,783,980,542,379,075,672,616,459,317,501,524,532,563,471,577,384,890,759,
838,155,274,294,953,615,215,361,794,183,860,160,261,005,674,045,739,727,909,
714,850,300,337,316,325,416,875,153,857,298,145,804,136,703,932,388,940,115,
008,418,522,889,010,543,911,767,914,012,388,925,918,290,402,829,779,779,558,
936,411,045,945,484,397,136,573,299,669,560,571,777,250,853,105,324,802,203,
068,545,373,812,163,841,643,145,854,308,782,214,950,004,923,525,356,609,146,
352,622,396,496,673,131,764,404,486,372,577,495,121,369,319,040,389,460,419,
074,699,380,312,749,683,116,715,360,884,977,444,616,395,746,054,408,737,146,
063,312,801,779,496,372,735,661,894,550,441,020,513,206,260,931,246,618,687,
536,708,510,844,497,634,116,899,471,053,339,623,048,045,008,122,317,940,061,
027,462,703,383,931,395,599,370,997,108,265,990,991,846,174,620,518,420,041,
384,276,685,212,986,970,389,522,689,079,853,728,293,357,523,963,055,273,875,
634,019,473,461,907,781,878,672,578,392,461,595,373,553,138,279,885,997,273,
924,733,279,646,157,570,928,264,820,689,536,152,000,501,740,444,968,974,177,
960,682,766,741,797,679,965,037,980,897,374,514,340,448,346,688,988,454,706,
698,473,254,436,890,058,481,430,197,500,834,138,367,223,503,182,868,154,854,
979,984,235,738,907,936,758,882,639,854,276,869,305,780,989,193,650,630,990,
848,977,154,357,427,513,149,968,135,015,658,628,190,960,480,947,670,254,948,
559,602,457,039,326,408,724,169,221,772,399,070,894,618,376,344,348,605,149,
870,206,853,565,551,788,307,703,335,097,054,092,263,497,839,023,593,467,602,
924,472,268,798,168,113,578,367,919,214,229,603,484,076,520,341,063,785,833,
311,749,506,734,874,759,959,376,170,176,894,292,487,233,560,139,267,070,769,
381,852,331,608,964,573,698,368,725,286,149,925,862,715,930,113,365,033,489,
989,690,719,162,723,743,812,808,181,633,141,281,032,068,701,514,043,521,285,
885,895,374,967,322,807,068,479,156,748,689,374,981,078,289,692,761,138,445,
963,092,043,237,421,709,363,946,601,347,879,138,456,365,500,471,819,060,294,
936,772,794,862,429,219,557,923,959,060,054,387,187,927,702,358,719,694,000,
595,697,584,955,230,955,678,864,725,924,674,395,735,667,355,116,762,557,704,
878,705,756,836,235,613,058,277,724,943,233,938,824,990,351,116,175,062,137,
150,250,520,050,451,810,800,131,041,314,495,955,391,109,992,011,825,563,446,
593,851,130,947,298,031,924,039,913,597,180,936,773,168,114,858,996,088,045,
089,220,670,174,761,903,782,802,687,832,533,152,401,120,605,396,271,684,290,
223,982,267,021,438,149,031,554,144,221,258,340,969,551,430,402,688,460,403,
888,347,231,221,731,592,824,216,210,912,337,349,820,018,454,708,144,607,888,
732,427,813,046,923,973,598,427,587,160,341,422,519,833,609,009,631,706,773,
852,226,624,553,264,641,728,593,675,598,162,018,332,468,056,953,404,135,437,
621,397,739,711,324,392,535,355,134,607,370,972,636,465,067,728,362,208,955,
507,308,452,825,055,846,294,709,800,102,624,531,437,572,893,187,150,806,529,
062,543,942,676,908,467,554,475,347,863,046,662,518,512,100,047,459,311,359,
329,619,082,975,471,401,635,538,520,615,891,769,229,059,763,368,459,352,613,
156,458,111,460,291,583,501,812,004,633,133,673,131,741,575,570,103,633,101,
283,381,175,739,607,629,196,236,548,445,040,063,772,859,931,230,902,893,932,
044,426,008,676,335,246,413,724,830,788,573,104,722,236,065,234,166,091,545,
711,888,154,508,613,077,429,307,359,644,256,887,504,368,852,941,462,850,455,
375,649,326,486,215,036,277,750,801,218,035,857,362,193,505,530,107,171,161,
704,794,228,706,589,024,391,888,074,941,191,935,820,123,804,947,017,296,198,
765,650,940,673,342,866,256,853,695,278,800,600,254,208,643,481,487,195,233,
779,005,643,400,806,777,959,822,963,664,093,552,365,487,470,113,665,160,289,
575,945,298,634,710,374,626,756,817,900,146,857,950,626,611,396,419,563,950,
284,152,145,909,098,077,775,282,174,114,088,202,393,814,329,478,304,860,061,
642,577,534,775,052,421,850,330,198,822,110,752,241,452,353,440,789,868,922,
463,630,444,513,262,626,519,790,735,509,649,063,757,110,604,997,077,594,756,
636,790,337,617,133,641,370,067,765,159,109,617,602,067,475,813,954,475,511,
068,149,740,090,764,669,117,793,705,511,278,752,961,697,053,866,225,144,974,
873,710,748,051,902,745,913,569,994,761,422,922,056,074,317,388,987,084,935,
596,050,159,889,390,916,701,230,006,616,849,912,982,412,903,951,050,899,209,
433,100,458,676,339,805,481,221,383,002,779,190,874,042,226,769,296,775,368,
587,092,184,859,054,250,143,995,801,829,129,323,415,330,151,422,522,875,970,
783,027,684,779,681,254,890,818,348,261,218,236,353,941,136,198,636,724,089,
307,410,038,755,688,398,826,617,631,807,127,320,215,105,250,089,466,067,275,
576,450,045,993,535,738,306,639,294,946,660,823,415,351,760,898,591,242,002,
105,139,400,674,171,675,525,135,697,142,519,340,856,754,375,895,732,724,480,
305,741,997,833,805,933,262,788,919,466,015,231,836,558,787,925,272,997,535,
338,974,585,444,328,482,270,403,757,682,342,110,159,094,035,936,664,599,445,
434,831,148,048,477,134,313,603,519,143,340,759,470,959,755,870,558,865,423,
445,936,122,803,215,503,886,948,007,810,802,759,466,913,394,297,768,588,756,
285,635,285,595,692,059,822,808,347,453,517,016,305,854,093,954,756,965,237,
747,286,432,273,404,266,702,703,749,791,181,501,835,846,852,690,151,575,843,
957,920,796,764,060,884,694,638,551,329,330,888,294,695,452,226,107,460,554,
912,909,116,124,324,262,296,941,740,828,945,009,616,697,209,745,565,496,710,
554,390,400,644,063,476,877,977,068,958,109,071,239,262,661,498,465,914,339,
213,866,325,285,054,395,083,764,730,044,757,436,973,105,460,482,053,238,045,
519,952,746,781,617,017,774,548,947,901,264,218,424,217,715,394,250,840,551,
754,337,957,491,067,599,624,295,551,165,851,939,827,998,134,023,318,785,429,
900,824,821,895,771,123,896,170,420,250,815,004,738,015,010,176,654,663,456,
496,186,197,556,463,859,371,133,807,191,635,739,977,289,018,067,133,589,667,
627,424,414,485,614,091,548,253,839,598,498,409,044,893,598,732,679,860,818,
124,271,633,575,070,431,625,737,410,435,395,344,167,463,589,967,439,725,327,
059,439,857,134,012,293,364,687,223,516,652,878,813,483,198,612,852,530,599,
866,838,426,323,772,690,407,542,152,791,700,487,567,615,742,712,136,542,365,
056,713,876,128,446,456,093,283,238,612,434,893,514,208,388,574,822,971,484,
864,352,264,444,020,386,146,003,378,077,111,593,565,019,964,238,140,841,604,
126,809,046,185,805,082,312,032,719,090,372,436,162,064,736,453,122,989,414,
190,033,378,129,814,046,274,627,812,067,645,469,064,984,726,061,685,270,281,
925,846,085,035,785,940,467,708,770,318,356,086,811,498,920,109,893,704,860,
387,863,219,247,080,683,146,917,919,216,335,643,009,397,701,437,212,610,656,
458,755,934,457,558,088,853,077,037,821,923,198,691,116,336,704,116,922,701,
013,597,254,166,605,685,209,633,020,573,602,827,301,161,645,236,569,362,447,
382,355,925,541,863,349,109,178,301,685,263,211,968,513,449,319,120,882,550,
949,589,815,217,223,285,214,506,269,956,871,271,610,561,049,245,854,433,030,
665,048,996,255,833,564,646,064,129,082,695,761,959,859,751,677,036,789,464,
129,954,410,101,152,820,782,002,207,395,718,024,059,977,841,900,553,128,267,
019,762,754,478,634,714,917,059,383,725,979,385,832,484,237,471,991,302,796,
967,733,268,122,723,371,336,559,651,063,515,105,527,312,092,038,103,928,037,
187,251,232,811,202,271,107,072,305,245,638,695,349,970,175,997,355,007,173,
552,859,507,016,879,232,156,549,810,545,098,242,185,186,388,421,211,830,155,
389,702,274,998,030,011,108,060,700,728,245,554,031,950,700,220,822,085,613,
619,746,408,129,936,088,047,087,406,935,050,526,948,596,683,822,679,366,337,
631,444,519,231,520,262,150,532,604,515,889,932,162,132,761,025,101,765,243,
606,184,071,440,114,393,886,186,677,049,752,195,890,944,727,954,458,316,986,
065,615,440,385,555,697,867,744,320,083,471,314,558,760,126,244,872,810,708,
036,462,498,645,650,841,754,583,363,819,913,550,215,996,360,065,259,742,759,
578,961,432,548,977,641,847,196,042,796,582,084,326,871,100,525,538,106,401,
438,312,522,447,044,916,482,424,092,536,517,289,153,836,534,858,089,707,770,
722,668,801,005,026,699,453,900,694,965,360,747,625,465,256,578,500,791,496,
262,377,939,737,411,536,164,638,680,601,636,634,074,057,122,890,066,674,498,
439,573,303,693,354,348,555,682,710,003,673,837,645,311,021,106,167,879,439,
237,465,877,444,845,779,105,441,598,782,829,649,763,245,234,821,402,742,320,
962,778,427,687,318,760,164,035,948,082,067,717,244,083,319,816,349,220,818,
031,231,582,708,300,562,709,768,112,736,765,566,564,938,800,299,247,632,075,
890,096,020,089,815,225,574,435,998,506,551,868,336,312,755,218,244,368,129,
102,798,567,010,775,868,007,392,135,716,526,931,602,308,854,640,311,186,032,
392,478,287,228,062,379,723,764,811,300,543,672,440,530,984,272,921,282,744,
993,209,420,798,147,166,596,975,911,773,262,133,302,886,823,246,951,285,004,
068,166,371,596,705,372,297,835,591,851,026,030,847,245,172,576,456,668,723,
436,052,887,810,769,131,859,786,233,750,785,042,273,461,574,038,558,638,857,
325,624,087,439,105,904,730,384,397,056,342,372,958,158,788,616,831,631,825,
799,954,465,027,254,715,319,989,958,831,802,264,919,129,145,538,597,196,470,
189,524,218,372,452,909,765,495,446,419,949,988,197,792,638,127,604,651,010,
907,648,156,651,662,366,496,858,152,953,157,595,659,679,726,630,785,644,832,
814,919,595,353,457,531,756,902,213,362,456,494,488,969,561,880,020,108,295,
323,833,345,351,836,786,182,510,689,993,674,851,521,984,110,972,495,079,005,
160,798,164,652,507,168,782,520,254,273,424,829,015,868,672,455,024,542,108,
245,250,846,870,698,627,764,238,785,711,308,074,933,295,004,880,495,931,516,
121,430,645,242,891,754,015,741,598,945,417,654,008,488,297,839,710,311,309,
739,923,661,509,962,673,074,930,136,855,882,935,625,820,079,572,955,788,894,
065,300,034,479,402,966,904,021,277,661,488,143,727,237,376,980,970,695,509,
089,540,766,366,081,188,724,320,685,019,193,082,074,578,240,174,463,713,793,
306,325,546,804,197,669,725,691,718,846,378,767,457,512,346,066,379,941,775,
937,997,950,617,195,586,627,011,302,146,505,217,599,391,976,587,413,920,138,
905,192,949,280,872,883,442,066,483,594,865,462,929,483,985,200,735,012,089,
680,696,502,520,120,495,392,961,019,048,920,474,804,319,160,267,513,631,373,
664,814,657,551,821,707,501,542,209,876,057,851,017,654,152,574,051,268,708,
731,270,207,648,733,973,752,778,280,712,905,966,152,701,894,909,981,326,689,
121,482,215,269,574,528,236,986,931,076,297,904,353,158,296,734,988,348,857,
854,608,543,724,754,247,315,899,149,751,844,118,497,195,266,722,898,382,734,
992,974,901,362,332,071,217,409,119,287,115,980,432,154,080,110,267,410,570,
115,420,176,097,147,696,604,732,971,788,949,678,927,821,258,910,107,438,451,
021,079,737,746,718,231,232,519,811,346,735,824,696,916,016,493,889,061,178,
510,415,751,716,691,351,016,539,011,823,471,789,267,840,463,346,587,099,720,
771,072,875,133,444,020,261,126,407,309,334,925,142,711,877,237,999,717,365,
769,547,090,265,227,135,708,724,957,342,487,804,467,564,170,371,000,569,578,
533,279,318,409,008,867,829,825,571,861,755,753,744,571,767,179,764,378,123,
818,098,293,372,763,998,592,418,114,934,995,995,431,561,934,956,694,209,033,
043,157,136,441,476,649,114,962,490,787,382,374,805,255,511,922,211,967,401,
275,077,530,592,890,731,804,653,440,286,943,330,811,324,925,970,041,957,404,
759,049,999,137,271,401,549,882,234,931,470,502,373,393,417,072,172,826,694,
253,216,613,583,618,849,802,062,960,969,103,012,250,120,016,244,119,034,186,
401,306,977,634,309,764,492,253,992,806,338,776,770,376,610,257,656,586,364,
631,640,127,755,643,408,644,621,976,470,232,881,285,910,477,209,695,070,563,
948,685,608,347,328,097,982,580,150,376,434,555,546,203,763,053,457,702,494,
168,713,393,164,101,079,429,232,583,595,053,748,012,397,033,338,054,477,256,
770,829,076,686,794,502,560,233,487,209,347,091,598,894,145,928,260,301,163,
922,055,473,363,208,152,239,447,027,997,019,483,130,571,480,661,093,413,839,
395,727,346,106,727,061,420,135,659,153,666,946,698,766,227,412,198,968,030,
989,418,186,427,123,303,047,046,165,271,755,628,359,097,393,884,342,654,559,
447,150,107,805,362,373,224,263,665,864,090,227,435,510,982,840,172,742,530,
342,354,041,101,854,063,621,175,600,777,214,779,439,463,373,108,726,314,744,
571,480,314,962,582,404,199,244,171,196,344,499,947,486,846,628,176,126,485,
203,062,963,107,815,905,901,788,284,595,492,285,995,133,252,879,935,903,780,
178,143,166,343,861,883,126,586,910,742,822,327,182,712,165,031,092,708,043,
768,783,057,391,407,277,137,521,799,903,097,558,844,611,780,807,372,995,568,
181,457,122,549,258,119,699,937,227,019,965,627,411,816,707,523,644,236,116,
254,245,171,645,181,100,020,476,487,138,677,650,053,409,346,748,287,431,608,
061,312,625,123,154,307,270,054,609,595,246,326,476,894,056,217,456,681,812,
196,704,609,799,543,836,396,690,344,331,592,088,897,849,749,912,228,584,724,
037,874,506,232,800,531,432,884,366,919,164,446,078,810,552,232,231,476,216,
434,184,278,447,138,605,770,329,646,756,084,255,529,442,163,972,816,515,747,
321,785,646,466,664,877,342,339,666,740,158,493,009,717,894,600,895,786,428,
602,806,406,742,742,951,462,613,958,224,175,853,213,209,677,874,971,829,021,
579,868,600,425,044,160,273,019,621,496,155,667,743,128,219,945,015,696,501,
075,356,664,853,957,047,597,290,808,568,458,220,996,082,112,388,460,956,481,
995,970,293,779,404,998,953,052,203,118,823,898,060,722,320,237,127,622,387,
309,234,993,710,213,691,346,732,132,467,639,290,051,330,343,835,313,345,242,
041,890,075,955,086,705,804,611,370,659,642,156,145,416,009,212,628,985,027,
011,391,797,460,602,426,731,339,137,076,915,508,224,375,675,402,304,567,165,
004,122,892,444,729,547,850,404,716,751,556,376,890,761,883,012,264,896,023,
628,179,439,281,096,772,325,567,871,411,888,121,435,947,422,414,747,105,015,
241,666,056,864,343,198,270,333,294,878,629,142,933,625,846,611,468,982,192,
839,464,467,180,201,533,088,502,514,093,319,600,396,613,655,936,655,453,207,
294,070,425,323,022,752,542,424,820,363,158,395,957,141,312,031,408,652,243,
733,441,900,369,493,111,177,771,760,806,907,941,414,156,673,370,647,075,042,
513,284,113,969,851,317,440,347,403,535,380,386,421,537,418,227,403,223,266,
604,687,849,228,634,030,192,638,988,331,617,150,418,700,606,832,488,403,945,
285,138,053,151,990,591,164,253,792,385,727,218,668,548,634,103,450,404,848,
529,175,681,521,546,000,978,517,761,703,143,377,055,783,426,673,399,901,337,
964,667,056,148,217,159,855,579,788,497,464,261,272,028,379,903,383,881,365,
098,226,127,442,679,216,857,200,183,457,646,387,778,070,458,658,978,536,818,
829,888,697,369,509,934,121,109,009,772,036,420,884,036,668,956,114,937,837,
239,265,938,559,819,778,973,617,150,705,791,774,646,426,352,108,890,542,554,
479,845,670,017,703,563,620,867,950,868,607,687,619,122,381,630,184,140,753,
672,783,052,112,565,040,619,761,949,263,974,878,403,903,366,972,303,293,267,
177,582,471,116,342,929,004,669,041,894,457,723,646,417,538,774,524,614,313,
244,361,220,060,112,693,585,555,598,205,338,994,110,128,079,250,321,728,368,
576,345,392,609,514,022,183,699,037,010,509,401,312,067,094,158,557,357,437,
111,906,281,084,172,311,303,678,407,216,498,220,074,744,351,254,945,685,085,
629,547,881,284,283,749,396,200,382,544,095,253,547,892,694,611,806,650,620,
089,932,338,772,280,159,658,001,848,410,439,778,475,272,175,157,079,694,571,
580,752,622,661,501,485,555,013,562,450,097,262,569,026,397,423,445,845,278,
903,863,499,278,761,505,356,775,577,867,140,885,431,598,807,122,927,499,952,
942,294,111,664,678,728,623,762,192,169,187,702,473,375,990,004,274,076,633,
759,729,924,385,490,543,241,805,123,802,149,065,912,576,258,237,794,985,549,
324,654,236,312,668,705,640,073,193,107,697,819,875,460,371,715,278,355,882,
822,262,128,660,453,754,630,946,754,151,491,845,521,617,207,322,599,462,821,
339,598,321,368,775,173,867,130,947,561,886,492,811,211,019,123,890,757,609,
404,816,419,262,805,156,974,611,963,621,803,037,060,398,455,322,575,711,303,
750,177,291,203,422,648,618,559,388,661,897,471,389,367,109,788,744,226,253,
964,585,752,689,135,632,811,969,132,560,424,759,355,721,602,762,941,851,815,
175,796,847,838,868,397,691,734,313,207,899,046,258,874,269,298,750,494,224,
066,309,283,174,014,973,235,548,348,130,682,090,053,266,933,723,679,205,286,
722,866,135,897,837,112,052,789,002,900,129,187,635,749,635,482,663,581,111,
689,823,871,680,604,562,335,411,399,127,463,978,184,174,473,479,638,658,412,
409,388,381,209,000,670,293,696,820,169,132,350,408,400,576,057,988,044,837,
111,114,228,985,882,399,798,115,730,489,029,458,498,825,021,020,590,389,439,
914,853,435,741,002,706,265,906,659,720,838,145,174,305,145,604,443,837,961,
828,934,348,405,750,236,871,841,832,164,696,356,702,368,820,584,290,237,780,
249,551,273,359,466,102,573,071,233,051,843,419,209,983,989,561,871,701,877,
931,254,390,984,933,164,266,602,962,454,849,087,412,536,284,356,775,650,813,
132,775,208,553,733,008,397,026,101,652,024,301,052,542,702,950,564,999,121,
536,400,349,135,198,784,463,938,052,621,002,256,613,926,496,037,482,942,359,
967,166,633,924,942,349,058,024,743,825,647,871,900,766,899,014,721,504,679,
002,836,921,366,858,702,780,321,097,622,103,110,083,979,312,756,523,799,765,
214,314,983,834,795,431,982,786,926,994,655,027,384,831,681,506,978,028,918,
537,048,475,555,369,398,972,731,347,549,066,814,816,449,428,850,328,478,834,
620,489,367,858,805,290,407,958,449,555,588,843,225,418,050,331,478,259,314,
181,766,639,914,579,098,340,246,988,986,495,438,051,398,217,238,208,458,446,
044,492,859,897,682,214,284,431,740,405,187,710,676,924,738,948,400,540,612,
918,699,018,077,174,734,754,270,597,667,190,702,630,355,110,077,264,014,107,
071,741,786,195,356,138,817,129,644,863,230,176,322,524,302,410,303,724,970,
629,784,017,947,255,828,754,309,129,067,385,693,957,472,417,857,236,495,122,
938,040,779,489,900,551,024,644,521,574,130,559,415,765,500,379,265,900,788,
188,075,660,286,179,752,865,495,746,184,911,284,384,265,135,354,751,356,447,
309,883,578,152,350,875,576,566,321,489,603,918,285,721,880,266,763,871,339,
654,254,545,325,933,979,064,709,096,913,076,848,387,827,413,699,063,487,551,
868,238,378,409,823,987,201,671,730,971,659,863,676,707,272,475,799,283,323,
616,542,473,036,886,063,661,537,584,758,520,386,574,292,158,043,461,843,292,
058,664,315,115,113,662,765,821,243,940,794,863,347,620,715,141,659,379,554,
822,522,679,756,452,614,036,726,865,768,704,145,959,492,495,499,300,829,747,
378,771,986,954,295,636,304,031,909,311,740,318,500,439,377,551,324,526,904,
121,811,013,121,346,013,841,344,782,906,347,630,763,024,199,492,150,919,573,
463,858,151,705,235,111,955,210,661,755,791,260,552,480,226,529,001,892,896,
463,274,341,928,366,642,240,125,089,241,709,009,278,321,335,460,072,752,257,
127,558,510,630,303,611,230,826,600,400,029,886,153,738,183,830,131,133,568,
788,811,003,238,915,410,867,055,369,944,452,530,878,944,081,935,008,753,676,
387,406,798,783,988,684,573,354,238,484,667,319,988,069,544,228,089,513,427,
420,390,079,055,795,252,950,275,310,037,829,106,367,164,293,209,359,937,889,
740,757,134,152,405,821,819,938,299,636,153,246,598,242,713,352,614,678,697,
316,438,374,276,317,486,746,778,497,590,041,082,786,582,424,057,624,954,329,
178,243,763,430,103,267,753,471,212,068,997,602,429,794,616,316,750,534,451,
617,230,732,987,143,203,292,949,701,840,459,529,052,245,266,410,646,258,406,
836,579,736,818,496,076,682,534,974,126,433,781,832,519,536,960,617,548,131,
038,486,994,078,066,985,171,249,093,769,650,549,269,401,679,602,422,755,627,
649,669,094,639,827,748,830,326,040,460,645,342,142,138,021,123,393,178,320,
538,085,057,228,807,671,825,754,118,188,862,622,064,734,727,432,133,747,366,
477,586,959,803,651,789,019,868,944,070,475,248,882,394,415,100,399,974,357,
788,037,543,999,470,433,248,548,301,420,990,048,513,945,378,426,236,340,264,
687,619,740,793,563,590,995,276,366,174,702,292,216,730,120,256,343,183,902,
174,308,734,126,112,874,026,898,910,481,861,050,776,665,468,459,617,605,159,
971,795,940,002,679,668,785,272,791,379,150,997,524,183,306,354,455,860,679,
672,275,500,441,418,865,617,812,345,251,263,736,889,976,885,316,721,574,712,
902,922,590,453,935,349,845,160,247,725,717,308,635,401,891,489,117,065,672,
548,752,683,160,779,497,457,743,647,902,914,217,859,821,422,676,947,420,336,
429,501,806,353,926,651,428,958,983,069,554,199,425,476,927,119,755,288,157,
838,649,930,538,067,998,308,465,898,994,207,327,267,482,389,095,833,143,768,
033,427,520,727,884,390,499,840,829,529,077,263,802,132,179,832,561,365,409,
771,459,870,413,514,359,327,759,542,618,164,531,005,358,352,881,905,097,721,
757,704,537,101,757,022,096,389,681,374,599,605,119,766,174,313,346,526,926,
482,408,483,566,542,071,257,857,812,002,336,434,479,366,336,555,567,073,823,
701,520,300,297,036,785,647,073,652,101,818,906,998,879,870,908,449,392,418,
940,668,792,674,991,754,409,509,776,099,861,000,813,285,044,955,254,312,988,
432,757,365,070,488,014,202,355,841,856,648,718,501,612,241,709,136,234,916,
493,690,264,973,559,088,969,890,664,285,693,921,165,475,060,907,578,537,186,
477,023,211,062,293,116,859,168,023,310,817,949,483,971,365,065,221,018,043,
438,269,704,579,092,094,251,696,548,515,782,862,130,709,129,908,130,921,987,
712,688,076,406,381,885,520,046,499,433,675,116,317,304,167,100,932,625,734,
090,289,003,098,997,962,321,907,057,410,766,541,558,678,809,306,880,146,513,
484,846,811,692,297,959,829,235,415,514,927,852,608,786,718,345,317,049,883,
429,553,875,165,796,069,747,260,175,126,805,615,886,585,379,658,876,808,403,
490,239,083,389,610,488,155,201,498,970,437,474,939,679,569,922,966,767,476,
432,434,896,753,410,708,767,257,496,825,837,641,246,019,427,576,903,087,881,
271,396,514,625,986,421,873,559,820,040,239,695,616,544,322,710,648,312,713,
118,626,061,283,535,223,358,825,869,278,005,817,474,172,322,507,961,971,216,
331,026,206,006,631,240,434,140,334,676,389,869,345,104,681,282,701,476,292,
914,601,731,037,877,199,646,162,138,088,378,516,053,603,401,420,613,338,459,
185,065,282,063,965,725,306,815,421,219,872,674,963,409,377,548,014,910,061,
467,284,096,436,908,448,183,062,074,175,289,551,213,398,908,458,443,321,116,
377,625,923,902,905,209,612,555,464,511,275,833,998,759,339,932,511,268,298,
425,499,123,632,217,770,805,283,535,938,673,119,237,993,139,901,155,756,529,
863,595,040,896,623,749,972,434,696,397,459,773,453,716,035,215,411,322,818,
498,802,472,267,678,375,038,189,732,904,728,825,050,755,118,255,307,726,775,
206,179,690,732,168,239,086,864,047,708,060,362,591,370,914,435,537,220,263,
626,068,170,723,257,040,816,304,874,648,859,256,554,813,643,588,070,984,965,
527,282,120,484,947,730,386,360,997,811,175,416,942,698,017,242,617,641,332,
622,199,456,804,257,334,353,294,846,248,379,005,398,307,619,592,991,982,747,
104,641,867,634,954,725,991,080,354,361,233,616,303,178,169,534,327,282,088,
403,091,805,485,070,896,707,452,267,889,636,923,285,083,376,344,422,003,684,
064,243,910,122,929,660,907,293,744,472,176,491,108,893,608,490,283,543,286,
612,481,897,785,289,251,611,802,982,217,424,089,999,761,064,518,299,854,787,
962,329,743,200,838,882,016,052,190,727,400,550,167,283,422,409,033,490,360,
436,331,453,891,955,085,095,013,522,639,451,696,384,524,461,368,903,667,857,
384,855,315,850,674,667,752,132,046,739,148,900,991,937,179,198,929,032,866,
625,145,055,295,425,729,481,783,248,885,046,393,282,069,980,603,506,992,445,
208,172,674,441,512,178,885,192,387,491,578,155,947,390,021,122,032,851,729,
444,312,284,462,818,224,623,549,054,817,814,673,548,685,674,139,058,605,479,
690,511,896,087,319,804,561,747,897,862,460,375,937,698,882,506,774,341,220,
107,060,926,979,782,972,228,612,906,155,384,412,901,649,362,577,644,062,846,
448,605,387,191,106,782,655,937,182,994,030,917,544,187,551,164,704,360,918,
122,384,293,879,253,810,411,041,507,145,636,877,899,435,540,640,189,707,330,
731,694,133,169,334,350,105,572,087,393,076,385,717,353,616,717,695,329,346,
459,443,261,828,108,253,397,962,069,803,580,298,182,313,261,406,135,206,150,
634,955,208,539,773,066,575,741,746,905,762,577,233,102,327,302,057,285,650,
005,104,623,756,823,240,910,097,989,994,612,303,321,496,326,167,652,037,172,
841,965,460,610,656,753,521,786,829,843,794,397,139,482,907,207,920,177,366,
130,438,337,566,317,805,036,407,291,486,116,462,519,438,119,706,493,105,493,
856,674,066,448,939,179,252,634,260,301,849,778,381,496,157,624,246,384,534,
339,758,419,668,989,295,790,678,346,847,580,242,882,585,905,346,767,245,439,
046,597,281,108,610,799,547,253,878,668,781,356,091,031,313,047,154,100,661,
775,515,946,849,480,995,568,649,108,994,631,865,534,536,811,112,359,451,466,
621,176,717,530,568,988,564,778,057,241,956,446,074,333,080,314,277,181,971,
496,695,492,446,992,397,512,673,010,182,993,310,096,271,375,668,708,601,341,
198,342,776,239,756,263,366,906,497,239,856,563,801,518,675,115,471,123,154,
763,109,112,171,931,444,709,948,861,298,711,754,576,783,941,509,842,556,309,
020,500,731,948,694,872,671,262,972,554,355,069,345,485,641,339,760,093,677,
089,166,170,336,942,094,984,275,396,276,462,719,336,133,679,853,856,340,586,
875,018,599,364,791,705,410,101,170,153,186,199,873,466,797,889,159,563,097,
746,683,311,631,296,746,623,854,498,193,538,766,083,188,317,431,861,487,405,
737,510,117,718,159,507,066,038,890,435,836,335,966,797,439,860,523,541,753,
241,816,856,857,864,788,518,447,840,177,930,739,679,593,438,943,109,904,376,
078,753,769,836,007,410,235,237,527,831,295,679,778,948,962,982,376,014,700,
091,790,812,026,492,660,538,938,178,491,557,520,845,943,238,264,205,677,438,
850,537,041,899,513,568,837,124,716,858,253,140,476,746,859,714,301,439,249,
701,094,958,580,332,440,943,407,508,832,022,033,496,105,082,307,501,829,201,
481,899,823,012,001,198,316,884,498,836,440,555,546,340,080,483,295,210,527,
896,420,916,012,792,796,714,982,525,528,255,866,671,685,240,712,292,256,116,
969,539,209,527,592,010,872,327,644,009,277,003,144,367,194,417,536,572,745,
575,684,142,206,204,320,755,703,053,789,291,340,636,070,365,772,313,317,663,
147,534,960,440,472,973,718,151,231,829,888,235,227,794,328,117,239,324,998,
611,207,419,456,634,252,630,746,162,870,155,609,201,539,386,874,894,098,587,
622,107,965,686,372,151,768,722,017,604,524,495,359,288,792,517,940,456,113,
013,817,006,192,029,451,631,208,446,563,689,390,151,567,661,755,713,891,580,
592,581,627,791,318,770,376,109,951,338,072,598,575,875,826,927,380,037,673,
663,181,096,280,708,433,580,209,120,545,623,132,882,253,341,870,053,098,311,
283,991,231,229,553,759,187,119,799,088,437,409,596,316,150,453,216,628,124,
700,582,249,336,812,313,810,595,460,055,409,804,218,131,910,726,062,523,827,
164,800,091,549,709,362,286,768,285,212,575,659,935,771,255,586,440,577,059,
503,816,002,389,663,859,173,911,249,911,080,679,361,574,451,655,226,986,746,
676,316,312,227,840,136,648,597,543,061,668,093,518,854,546,769,860,476,907,
904,173,227,665,619,326,891,622,022,752,381,146,658,262,815,090,635,302,640,
972,508,234,424,498,403,715,838,387,942,941,983,626,018,651,159,100,680,577,
553,011,829,473,525,800,183,508,104,127,170,373,869,176,330,717,795,256,042,
957,324,258,567,555,270,265,493,673,954,911,927,458,416,745,720,678,488,748,
355,637,915,531,649,425,085,005,291,179,851,696,388,474,790,311,661,989,269,
907,862,638,727,206,865,294,309,396,201,868,775,076,980,278,585,616,832,789,
153,323,161,609,477,250,624,539,413,755,001,070,456,619,064,902,774,500,767,
284,976,198,822,278,081,800,481,532,970,562,522,051,320,690,703,961,238,944,
923,363,979,199,624,239,708,305,468,077,676,205,906,391,018,403,599,371,858,
325,983,636,260,765,475,070,851,621,482,374,050,445,309,665,853,516,421,834,
546,319,806,610,470,468,470,743,019,935,333,399,929,353,772,317,536,017,108,
957,964,724,178,856,035,665,630,502,394,308,697,866,457,933,486,661,317,296,
826,851,898,318,985,471,371,080,285,776,562,384,505,646,548,948,644,250,089,
302,022,090,210,374,967,663,466,197,105,011,435,942,735,178,991,921,125,790,
116,262,976,752,358,896,615,957,284,809,308,666,700,247,780,692,109,558,723,
456,038,273,677,870,016,305,978,544,961,524,312,460,568,916,998,598,096,548,
267,292,553,346,876,835,507,980,805,492,824,081,431,593,814,071,112,914,220,
392,259,441,822,659,676,102,471,877,601,624,269,976,349,368,039,158,499,870,
050,387,144,559,739,787,102,029,966,275,179,884,778,026,497,578,776,885,383,
327,185,956,575,519,407,940,714,436,176,170,329,438,778,332,526,292,137,781,
957,062,457,837,840,843,283,594,588,296,143,261,110,248,111,581,672,382,213,
570,309,950,994,956,462,457,173,917,772,710,411,345,690,264,244,373,055,468,
362,636,181,042,912,344,552,511,749,641,141,403,815,400,695,768,421,001,346,
981,270,739,013,262,423,447,245,508,674,393,772,359,420,367,105,602,573,734,
464,492,175,256,536,255,913,959,770,371,998,285,027,858,626,150,604,012,358,
110,813,394,962,542,172,900,825,430,996,272,669,536,182,419,009,026,279,693,
884,824,787,926,536,394,414,803,810,368,905,640,021,014,698,613,027,769,302,
670,891,316,503,833,282,589,633,278,462,422,832,842,753,880,072,834,528,378,
136,683,562,542,072,014,291,402,237,783,128,106,835,141,037,716,564,771,590,
315,701,456,838,680,114,190,212,027,878,158,004,086,344,442,424,706,403,020,
374,355,226,294,402,346,144,425,585,971,797,092,069,818,671,275,879,257,823,
777,416,455,188,294,220,508,316,913,087,440,464,317,637,308,691,781,689,848,
757,319,650,307,370,895,871,604,783,799,913,356,438,346,555,550,909,162,981,
813,303,353,196,893,090,688,188,145,801,875,194,914,774,938,475,290,041,256,
928,878,668,728,722,763,795,692,067,315,179,903,237,573,403,826,084,272,407,
928,662,350,110,705,819,406,816,503,686,856,305,565,030,151,794,845,678,980,
339,144,139,540,376,061,716,029,196,352,682,087,447,038,720,916,707,671,037,
869,989,056,448,674,742,123,432,029,666,604,545,649,303,299,717,836,571,685,
989,739,287,428,525,422,976,497,582,128,496,568,368,399,538,032,096,271,841,
680,394,707,082,870,743,166,137,613,781,989,167,530,897,654,359,082,325,998,
426,188,198,925,803,080,171,641,794,148,394,155,024,989,185,822,865,380,103,
906,072,566,393,489,824,030,767,136,779,280,303,303,899,175,127,450,792,473,
320,091,092,734,485,586,395,541,291,812,340,539,739,028,490,752,694,718,195,
536,746,645,686,684,803,253,211,998,418,136,387,460,940,188,223,644,264,710,
810,416,097,806,386,331,594,293,195,379,970,880,652,867,667,985,139,010,007,
312,035,818,600,646,946,455,358,560,540,160,746,199,261,024,020,732,237,600,
444,182,801,151,684,381,440,699,615,144,287,671,414,255,848,548,261,852,216,
849,291,974,014,840,472,609,110,867,381,177,280,473,770,989,772,993,695,029,
828,666,204,622,592,313,428,477,878,163,919,807,444,930,628,074,518,419,428,
564,466,261,696,007,646,688,447,583,496,200,854,423,578,051,842,908,666,368,
920,218,134,960,628,214,028,485,128,296,307,791,815,498,324,230,174,328,037,
176,400,749,670,635,792,682,266,045,617,166,813,606,348,710,606,625,236,099,
245,584,030,878,093,310,630,714,312,785,083,665,242,547,167,429,489,535,567,
943,371,955,295,657,314,604,172,137,514,879,421,220,667,238,639,115,455,161,
428,539,105,501,411,045,973,984,806,781,482,406,757,245,641,836,417,333,576,
355,179,780,465,397,262,328,052,219,572,220,660,751,923,682,534,699,358,505,
312,960,474,001,284,607,171,909,988,480,770,967,847,692,660,165,390,105,404,
830,581,409,495,740,007,177,946,888,351,575,061,062,126,555,702,822,844,271,
588,753,702,304,073,333,594,214,226,701,288,675,250,305,238,542,898,355,542,
605,994,586,924,355,643,673,376,993,391,680,064,716,163,505,556,176,452,091,
588,721,642,052,199,716,899,891,707,682,783,478,607,124,717,163,697,020,570,
645,278,009,729,474,234,406,551,673,929,287,758,606,551,502,056,104,809,675,
572,019,436,808,232,082,537,882,829,408,785,433,737,937,529,221,279,204,236,
599,989,879,922,281,622,647,071,114,963,684,472,191,418,649,481,056,980,392,
007,470,825,273,304,993,917,352,470,509,315,211,932,480,306,357,752,396,552,
134,157,009,355,747,461,744,640,633,378,572,785,306,604,930,709,811,334,307,
167,543,506,002,432,386,020,581,084,440,623,509,136,516,638,785,633,895,961,
930,667,115,559,469,877,761,499,967,576,025,181,756,064,828,786,855,648,273,
672,272,241,930,484,781,970,577,766,683,553,166,808,125,693,107,499,258,644,
641,635,973,205,725,533,810,182,555,607,286,824,949,401,261,830,177,359,807,
358,145,861,811,895,150,511,627,270,124,930,258,918,073,939,523,203,957,944,
676,293,204,877,972,416,658,984,292,192,432,661,616,905,922,365,387,935,839,
141,387,152,098,029,675,254,691,554,446,096,809,870,659,252,370,761,533,533,
732,517,112,216,946,874,021,430,813,138,697,897,842,450,313,474,667,114,178,
922,963,300,575,178,884,967,846,151,022,590,570,223,662,646,805,736,334,825,
653,081,969,030,368,433,617,975,527,973,752,169,383,896,278,474,014,506,625,
432,450,538,473,395,046,057,358,499,477,674,648,586,697,245,043,100,470,602,
548,616,369,077,089,663,440,327,060,313,180,167,069,080,472,185,057,042,166,
836,892,248,629,141,633,007,722,707,857,603,706,967,048,369,159,672,719,707,
592,224,550,463,640,687,331,583,636,410,145,216,382,145,352,900,391,748,533,
139,258,515,584,837,792,742,882,579,258,811,429,970,298,793,659,473,877,836,
231,010,118,920,837,849,008,997,294,973,535,080,348,309,876,415,424,060,148,
008,888,385,927,575,573,261,842,895,824,338,633,115,807,465,806,389,920,878,
138,886,892,716,250,264,880,155,666,785,031,702,821,668,526,536,852,109,348,
493,091,831,275,405,426,584,791,015,486,857,693,826,238,555,678,839,213,322,
646,979,297,323,873,393,440,617,051,102,564,743,574,279,738,346,129,482,829,
904,181,819,800,341,117,802,605,895,890,482,264,580,182,123,641,047,962,359,
490,631,207,909,584,553,639,800,034,468,737,057,842,071,027,732,079,946,051,
081,096,106,752,090,426,277,309,848,167,508,843,383,956,411,721,583,830,568,
562,071,907,802,942,133,799,940,022,388,774,964,712,901,077,396,228,014,472,
792,450,085,162,736,655,582,483,599,335,374,632,773,569,856,684,689,597,277,
928,514,890,680,423,346,197,964,546,784,070,498,924,637,868,153,849,119,071,
502,967,297,961,115,159,982,522,185,220,885,869,004,458,547,721,946,673,527,
744,728,373,063,062,018,297,930,550,924,576,982,232,586,732,481,155,700,726,
408,558,498,715,256,161,775,685,592,604,098,623,965,926,871,580,468,210,099,
486,641,120,709,944,605,924,787,259,682,335,602,102,131,112,492,260,147,529,
509,078,882,060,459,492,321,204,471,692,576,912,788,233,606,693,435,874,659,
267,905,417,120,901,882,310,044,515,128,718,903,655,663,173,498,766,647,613,
497,843,666,792,482,024,643,683,442,705,943,795,133,626,499,135,890,782,758,
001,715,097,113,976,380,514,667,023,256,928,227,716,000,352,225,269,518,400,
046,424,592,921,642,157,914,680,708,321,794,168,575,143,818,893,830,117,461,
043,673,561,950,996,292,292,821,940,837,983,675,747,259,446,730,833,121,308,
162,776,497,332,462,868,131,687,277,791,521,022,489,250,644,860,272,017,852,
363,228,840,026,148,703,701,345,868,714,472,427,515,671,706,112,848,460,678,
046,936,997,347,650,554,559,114,796,596,735,934,742,870,993,921,468,083,521,
769,010,220,935,344,398,852,233,410,412,597,544,472,288,642,438,367,411,830,
265,046,804,475,224,143,668,164,080,218,975,737,609,399,746,035,155,842,579,
571,722,112,871,587,060,636,344,761,324,333,223,258,530,854,146,140,908,255,
416,222,176,888,582,322,315,425,378,336,517,781,716,922,197,921,032,691,894,
222,440,506,755,837,614,998,384,484,915,439,570,064,129,427,511,720,191,701,
332,620,334,471,506,807,119,875,160,587,746,236,031,802,272,033,314,623,368,
255,923,157,800,587,340,467,368,032,746,281,044,913,041,006,650,576,350,482,
424,380,905,439,431,536,189,880,469,899,418,028,088,494,065,707,798,885,073,
824,360,770,719,139,146,682,221,062,227,113,696,924,546,058,869,694,465,878,
232,428,800,981,052,349,120,234,575,948,506,018,961,033,074,233,186,699,168,
504,087,783,358,559,286,436,965,541,670,893,857,421,668,688,384,172,800,515,
526,103,180,354,721,733,784,907,718,055,600,269,686,527,423,414,189,928,521,
967,609,064,221,107,369,469,565,664,719,356,029,832,016,840,999,948,113,765,
766,463,180,475,452,871,667,692,492,485,123,184,093,952,409,198,670,853,157,
831,951,140,930,303,719,964,618,867,786,914,218,952,573,779,420,635,330,470,
915,827,237,301,657,122,236,414,735,044,257,394,883,635,679,745,428,921,251,
384,477,305,937,218,472,606,158,025,365,508,354,580,003,247,360,913,726,027,
590,789,103,689,497,473,526,637,374,060,094,498,945,609,296,728,942,900,270,
143,681,952,874,642,344,667,271,614,341,794,588,626,157,274,673,186,130,885,
471,938,798,313,046,025,578,739,476,430,579,928,874,494,911,997,524,845,174,
301,711,469,201,968,360,483,869,280,381,337,339,111,626,607,096,226,715,496,
291,528,417,136,394,068,733,651,532,137,980,340,661,390,510,750,601,672,331,
146,914,726,077,490,314,907,927,200,226,230,926,830,658,360,653,068,044,166,
097,774,380,305,797,975,178,356,992,974,537,291,494,113,008,748,326,632,943,
771,900,258,159,929,500,077,292,394,207,302,831,993,666,030,891,370,225,257,
791,575,618,729,039,126,741,148,557,346,169,136,599,346,776,499,791,228,329,
700,542,159,685,738,931,876,519,454,798,552,099,052,937,324,432,561,526,654,
361,480,864,558,070,792,371,789,386,119,505,527,810,976,712,853,697,524,202,
297,551,052,991,814,695,406,372,194,569,694,930,986,239,811,140,959,637,801,
691,632,422,627,048,933,244,475,992,434,499,619,610,002,804,603,963,064,348,
002,160,638,045,906,165,525,059,567,817,778,869,290,000,475,561,667,933,446,
147,848,436,500,863,658,303,263,779,072,379,077,329,767,159,068,622,186,450,
885,380,022,965,809,937,335,962,851,670,880,077,243,275,637,024,952,817,758,
144,883,679,601,307,421,491,615,798,990,827,274,752,007,455,174,342,502,029,
413,391,696,507,963,281,737,042,962,729,225,321,472,123,553,313,556,709,548,
117,546,631,011,527,331,235,691,422,656,768,424,448,453,293,264,766,226,936,
085,303,026,096,919,923,559,899,375,212,754,136,359,380,210,411,115,818,758,
140,836,123,985,852,614,008,559,282,623,653,325,874,512,671,135,325,297,563,
402,447,511,269,030,069,042,587,505,079,896,829,317,850,673,264,274,075,560,
309,456,108,610,655,373,759,290,166,578,426,390,155,768,734,826,440,430,955,
057,708,877,062,201,741,378,949,410,168,202,614,796,727,673,890,492,386,302,
782,457,945,907,722,871,730,737,309,621,234,602,629,176,711,407,996,089,609,
331,544,315,442,099,258,894,839,973,281,244,307,669,245,238,473,253,629,183,
349,848,289,503,736,654,847,465,869,056,401,952,288,535,050,978,735,552,628,
354,594,314,349,932,991,544,319,190,904,466,635,554,753,771,161,777,172,903,
920,415,742,456,882,407,920,972,001,369,890,340,106,901,392,389,187,813,627,
068,106,285,452,801,745,313,624,014,992,295,039,141,990,516,245,238,007,100,
433,478,928,407,483,557,045,992,694,657,509,352,596,322,298,049,645,804,819,
207,142,951,881,998,739,221,703,044,835,563,861,166,287,860,846,526,966,800,
336,457,362,743,216,052,988,357,233,001,680,287,555,703,677,510,825,525,886,
551,939,075,734,703,703,021,473,902,765,069,541,084,045,264,711,470,134,345,
204,726,539,707,523,599,996,218,881,098,091,151,838,140,312,956,706,220,479,
725,454,531,382,868,900,847,150,085,462,899,108,170,182,677,290,799,959,882,
894,503,381,945,641,132,509,101,332,493,373,932,392,991,780,741,109,960,459,
537,960,787,443,715,051,653,541,853,617,319,910,317,906,469,265,273,284,566,
094,845,003,879,527,842,072,455,379,602,408,333,614,468,036,392,391,289,204,
609,266,367,850,756,317,877,333,634,411,625,239,084,095,958,724,714,884,466,
045,411,144,958,144,873,583,955,822,282,722,853,043,725,164,242,237,707,321,
184,967,868,915,886,018,089,330,255,702,488,994,502,939,268,215,233,199,101,
731,258,272,427,868,297,833,657,078,969,386,518,338,515,943,915,685,346,786,
788,121,835,418,362,330,574,276,960,262,475,573,431,723,785,779,368,411,391,
922,231,471,145,954,168,606,190,058,254,981,239,525,724,283,244,278,612,304,
727,476,900,472,935,454,216,379,147,056,630,594,114,013,764,096,025,590,735,
069,730,765,692,978,818,604,450,599,576,388,645,396,442,892,672,740,402,493,
925,667,445,178,732,537,745,348,887,343,404,737,895,585,995,174,451,048,179,
529,705,450,902,892,923,372,922,126,717,601,683,149,757,249,850,189,861,834,
923,262,013,563,359,187,286,844,126,223,282,179,747,497,166,273,381,778,865,
636,903,637,898,831,996,519,810,247,148,918,258,241,855,935,569,764,008,133,
021,947,911,953,785,788,790,792,661,609,522,367,811,684,250,753,638,348,944,
122,054,875,801,118,102,164,629,147,633,820,149,887,188,353,152,868,029,617,
659,731,311,053,439,846,729,669,947,536,114,967,152,628,029,669,868,561,218,
190,962,968,893,886,095,041,044,282,916,247,053,657,970,379,085,068,256,548,
095,035,307,188,051,629,891,835,739,758,273,605,135,203,885,780,996,489,412,
498,280,791,305,857,188,932,906,541,686,190,314,964,075,319,093,490,184,207,
124,773,736,922,702,206,848,098,808,375,128,623,662,373,132,523,697,572,601,
050,995,312,754,040,423,585,709,457,430,592,186,982,801,767,863,407,615,476,
078,171,682,877,130,153,179,468,244,024,317,303,926,897,230,520,810,881,330,
289,552,160,606,985,194,749,185,394,343,561,179,368,203,904,014,142,842,814,
269,371,363,564,558,230,712,972,875,411,556,673,502,214,113,644,748,830,673,
034,160,439,233,701,343,850,172,675,341,440,312,675,242,037,600,478,131,026,
380,231,642,804,460,833,161,088,261,357,430,800,390,110,275,550,454,080,740,
543,142,799,521,150,065,238,327,525,596,889,955,775,511,388,731,950,136,859,
956,908,976,898,017,192,312,633,385,640,978,394,880,581,046,337,471,675,885,
071,608,705,797,012,421,871,074,384,557,311,953,761,477,899,125,966,083,252,
811,194,795,518,511,873,106,646,392,758,697,774,061,781,634,174,981,326,058,
748,208,678,776,016,422,028,541,766,909,822,774,953,593,909,339,492,739,532,
858,178,577,247,417,469,604,348,869,163,407,988,984,422,351,449,877,118,267,
075,741,394,813,091,976,596,456,149,090,661,659,124,070,489,327,427,572,122,
859,305,318,141,541,206,323,799,047,847,993,206,517,861,613,532,768,845,060,
453,754,116,059,556,249,454,555,719,302,381,783,154,135,064,709,452,510,184,
210,256,013,330,075,009,250,791,730,170,870,447,541,399,212,981,653,597,542,
656,202,754,736,077,484,126,197,178,194,704,968,434,758,505,890,305,447,775,
433,026,583,436,175,683,734,155,247,014,452,475,949,931,607,861,684,130,804,
452,228,962,436,138,086,651,902,002,798,898,868,474,640,312,516,227,541,806,
564,933,569,874,310,392,704,517,057,977,884,194,368,170,687,019,370,814,072,
904,152,084,528,561,474,158,318,487,102,449,192,225,765,204,139,268,207,018,
319,122,638,790,295,516,293,104,935,307,726,048,078,901,826,410,651,390,041,
363,685,363,526,923,919,531,446,195,165,291,751,730,584,310,155,710,090,528,
024,024,177,890,938,670,203,487,461,646,763,469,680,032,900,515,030,809,559,
310,274,887,230,746,556,084,342,021,261,379,998,456,972,387,724,256,414,455,
535,495,754,962,410,969,036,172,454,393,374,172,583,273,482,824,325,974,701,
084,076,902,484,494,124,485,910,802,756,924,133,460,991,769,955,966,545,183,
305,945,181,320,095,447,931,751,586,403,933,430,322,906,122,004,842,019,333,
612,050,008,831,146,347,064,551,936,775,061,579,941,993,123,149,761,053,899,
174,576,895,696,859,027,988,745,217,596,015,459,225,352,674,253,783,132,892,
428,335,815,172,054,034,287,014,702,324,971,206,823,628,316,533,443,159,282,
593,702,524,304,151,316,335,251,761,621,061,772,286,563,491,044,907,143,832,
286,011,177,164,173,376,395,489,840,789,644,870,587,384,380,879,209,783,835,
732,733,466,433,560,905,923,705,397,132,755,417,088,594,990,359,083,014,945,
087,107,966,253,631,590,222,193,928,812,008,279,387,418,715,321,734,787,793,
678,759,195,912,630,198,039,174,269,406,097,103,920,174,342,935,492,996,166,
644,626,830,076,930,356,252,578,030,049,463,716,830,439,585,991,818,404,616,
712,275,829,576,014,998,085,673,697,626,062,535,117,435,424,432,553,439,206,
981,439,867,471,974,901,580,776,655,849,051,258,298,769,879,605,218,036,512,
520,118,556,559,212,203,274,828,739,113,828,715,481,892,439,350,225,177,988,
435,816,297,726,400,981,116,722,188,519,284,844,610,787,514,895,345,703,941,
946,618,758,915,261,211,016,769,605,390,263,544,561,145,239,076,117,898,957,
716,270,376,464,015,199,776,208,358,824,865,014,689,094,654,805,099,622,588,
175,390,358,008,529,974,515,355,538,167,273,450,700,150,138,680,425,430,043,
954,272,091,005,523,523,669,311,891,490,732,951,156,264,700,472,258,659,834,
771,123,190,024,233,344,126,091,986,325,206,834,919,430,411,982,137,176,496,
503,401,052,761,004,306,602,427,576,497,902,753,188,699,844,867,857,473,683,
149,452,246,125,822,936,399,357,570,737,885,703,217,820,712,913,382,953,179,
373,709,833,281,648,001,624,998,669,871,694,266,268,446,840,124,437,187,304,
501,883,741,452,644,169,805,231,244,419,481,521,341,638,086,015,506,293,581,
091,469,832,953,427,570,482,810,945,181,486,050,544,475,182,631,503,855,479,
705,551,429,277,321,330,680,432,943,990,689,378,184,005,505,340,605,426,594,
777,617,130,881,323,704,309,214,346,141,551,941,216,812,536,195,464,913,597,
079,759,725,960,318,138,771,209,076,105,157,024,862,157,025,322,941,818,700,
244,810,566,180,137,325,676,701,127,685,416,448,974,801,302,533,240,142,169,
300,530,812,329,281,686,299,387,538,532,393,601,499,919,253,810,807,909,054,
127,000,881,917,775,884,307,203,482,722,376,875,814,876,003,629,687,397,882,
277,898,899,938,108,495,187,268,332,010,613,172,910,051,521,085,826,489,129,
559,777,073,435,817,577,809,340,994,458,415,772,584,065,546,927,552,936,644,
582,802,790,693,463,036,692,230,278,524,750,557,010,816,910,463,745,293,214,
515,891,351,119,448,304,447,966,608,379,875,756,105,959,021,839,102,693,189,
934,340,621,551,460,030,279,870,170,345,589,259,860,477,450,379,564,818,833,
673,774,684,440,473,322,726,441,111,001,790,298,453,408,151,876,577,868,830,
957,689,565,950,344,651,555,021,130,422,797,778,375,435,491,082,879,688,544,
803,965,425,073,214,400,594,345,120,351,759,012,650,821,023,152,133,054,711,
867,178,591,296,868,625,790,682,737,999,696,620,045,189,703,911,828,340,095,
878,452,505,271,138,832,727,155,573,117,614,156,047,954,805,713,936,088,786,
549,080,953,587,462,302,598,873,078,529,761,165,297,778,636,192,763,350,328,
238,756,114,097,290,265,599,918,232,979,689,842,829,032,474,867,312,325,526,
597,796,760,789,344,991,985,770,741,534,695,098,423,156,143,457,436,979,218,
422,950,306,173,900,709,653,411,180,554,882,599,748,277,909,205,239,841,128,
256,467,369,209,059,133,159,196,468,424,821,403,924,219,805,982,556,811,550,
996,808,742,186,105,398,871,271,559,106,803,811,354,546,962,177,575,374,696,
272,169,599,284,609,239,040,809,570,299,338,569,230,155,932,794,545,336,740,
492,013,874,630,882,008,232,575,290,455,396,919,735,051,975,170,340,070,784,
714,267,116,931,884,105,669,933,679,395,908,836,170,847,090,887,399,063,447,
972,486,762,511,908,291,487,947,818,978,055,727,385,263,343,865,375,201,827,
144,884,725,581,197,170,951,546,804,617,337,206,326,038,022,100,908,748,037,
421,407,933,411,098,879,073,111,302,896,371,150,160,129,718,549,634,396,600,
116,274,481,346,160,115,097,467,559,645,421,835,786,921,138,823,025,146,482,
979,148,960,983,098,926,996,569,413,518,305,183,747,598,410,333,685,660,864,
957,349,733,203,017,997,793,679,642,553,642,312,255,412,626,243,514,415,856,
254,434,333,949,868,217,574,704,503,741,616,140,133,710,240,780,628,423,357,
449,706,433,007,431,029,892,420,907,248,592,838,295,897,310,849,472,941,021,
798,564,651,351,207,177,092,922,729,844,627,337,243,829,747,758,894,903,477,
462,103,513,612,627,745,880,025,317,952,402,129,021,601,071,275,699,964,662,
161,223,957,453,224,958,712,261,115,480,126,016,878,876,510,869,828,687,918,
283,890,233,290,439,647,971,055,141,569,520,460,529,156,301,452,935,948,572,
025,275,340,233,573,699,365,623,857,216,629,381,440,700,055,510,799,723,082,
126,256,121,947,497,132,317,453,143,956,754,311,760,440,840,786,248,745,966,
168,104,799,143,669,402,739,253,489,079,815,978,647,208,087,869,647,865,531,
547,734,276,685,755,477,738,794,411,528,252,890,753,113,902,347,722,612,225,
455,540,498,817,465,651,491,029,851,953,287,643,084,328,439,136,095,353,429,
549,421,586,396,235,672,045,407,787,252,177,797,742,112,769,271,390,183,283,
534,552,948,154,781,629,647,340,372,833,941,069,558,024,232,730,474,786,078,
742,218,989,343,773,611,960,342,361,882,566,596,819,451,975,893,389,985,858,
688,259,007,286,543,739,765,926,484,390,983,185,652,456,399,139,686,329,725,
690,859,903,095,422,063,090,050,776,868,428,094,429,662,948,625,730,654,393,
461,469,644,088,270,217,702,299,860,253,944,386,054,798,373,493,320,431,081,
302,178,680,223,831,382,735,729,834,801,364,255,796,874,940,684,032,695,213,
925,057,511,050,747,474,457,372,973,094,495,022,835,330,811,135,491,777,923,
316,843,248,876,064,490,404,447,994,124,421,912,381,925,473,672,066,658,712,
121,379,345,973,559,621,036,786,637,015,156,846,902,278,523,759,626,126,109,
793,617,633,766,260,009,255,519,373,294,754,889,178,924,038,252,614,241,473,
139,560,859,993,247,697,464,194,711,704,587,379,934,967,208,701,111,359,795,
377,184,390,745,158,239,901,483,376,645,139,856,970,158,805,770,238,553,801,
348,956,286,770,964,268,423,292,593,014,265,226,198,225,184,101,478,865,291,
678,248,848,568,624,658,774,641,176,454,346,753,201,557,758,547,364,609,345,
654,070,288,638,337,920,142,299,414,301,284,766,501,308,522,674,748,908,258,
494,828,716,346,360,789,145,631,756,783,164,231,902,880,466,777,954,211,908,
255,465,238,711,713,516,986,167,551,157,414,880,406,043,672,158,828,916,831,
646,088,995,666,600,105,023,624,882,464,287,816,978,507,352,480,791,014,183,
185,212,163,088,580,703,426,948,821,684,914,795,294,494,360,541,907,612,341,
598,225,811,970,039,972,796,735,928,673,885,537,819,278,978,389,533,255,234,
476,457,480,242,164,638,288,085,068,733,766,626,414,263,010,473,010,765,868,
962,838,958,599,602,938,624,324,708,468,765,883,688,561,195,942,707,618,926,
213,369,582,178,056,278,003,684,408,055,044,649,073,225,326,378,662,065,909,
343,162,367,793,196,583,502,132,217,268,615,963,781,350,840,634,068,512,848,
075,573,636,283,332,530,787,662,841,422,657,296,001,471,160,867,583,281,991,
059,425,533,720,556,410,948,591,978,347,544,811,518,837,966,030,863,196,465,
199,708,301,040,722,693,910,330,464,362,419,502,252,597,308,652,501,520,852,
478,264,057,749,078,898,579,259,949,723,187,548,689,849,763,237,066,609,657,
704,597,178,290,880,522,261,056,513,804,540,245,896,970,664,709,805,755,956,
885,124,440,082,542,236,149,880,098,982,201,957,031,766,686,592,648,835,768,
065,615,550,917,895,656,701,730,790,469,546,773,105,107,622,839,106,447,112,
210,138,910,298,681,436,425,161,384,926,424,520,743,707,244,369,785,936,135,
513,999,186,971,109,404,165,052,041,699,273,076,286,877,252,017,323,933,924,
379,896,083,100,297,684,145,210,455,439,132,964,631,011,593,605,022,628,623,
196,302,562,370,527,070,936,262,008,383,375,030,825,664,571,524,466,737,935,
408,016,313,946,250,026,303,694,076,713,670,329,391,710,413,960,251,916,003,
527,667,531,349,034,001,107,091,478,932,134,575,710,416,987,446,882,526,778,
308,996,768,955,778,211,929,496,906,546,508,231,692,120,459,907,260,967,113,
282,472,091,746,165,477,623,379,263,646,792,654,489,360,245,362,444,576,171,
046,743,522,547,246,043,734,816,495,164,007,110,491,541,624,192,891,076,467,
352,883,520,880,714,508,762,904,453,228,987,104,350,308,159,311,743,355,935,
276,393,919,368,391,917,238,227,008,543,375,159,041,321,135,726,429,311,521,
627,558,666,745,341,665,649,827,291,777,141,574,394,897,807,866,269,130,702,
331,727,965,648,108,980,764,194,093,080,404,446,317,312,330,147,244,449,839,
437,493,523,343,489,454,239,062,124,062,481,745,574,558,533,556,151,286,541,
892,050,106,874,892,616,322,501,232,958,427,313,322,704,640,810,925,308,822,
460,751,132,375,845,269,739,036,603,221,266,264,671,635,469,209,038,705,130,
563,097,695,157,487,075,850,239,721,196,167,036,435,727,561,393,327,836,518,
034,549,513,114,995,505,996,112,248,459,263,772,432,963,522,334,443,810,250,
745,828,161,593,963,477,484,544,345,615,274,295,095,313,357,764,041,437,099,
362,574,261,235,903,567,656,105,199,116,706,048,241,510,188,828,795,783,961,
170,538,615,728,133,351,303,702,730,187,601,882,164,149,823,732,700,177,269,
809,899,049,416,293,528,023,159,609,375,565,479,150,307,958,587,856,074,965,
584,543,024,906,623,395,755,415,231,003,711,820,277,160,701,514,455,720,501,
974,341,517,348,333,079,979,784,269,512,220,086,601,261,103,175,555,999,094,
281,220,109,701,607,025,123,784,769,580,294,302,888,274,273,892,565,076,331,
145,758,963,503,435,613,116,086,676,655,913,454,545,657,233,196,557,057,186,
395,750,772,073,905,295,409,604,589,278,425,851,616,197,946,444,982,478,938,
659,748,574,580,836,104,657,205,479,753,747,358,077,203,333,600,515,879,550,
834,667,437,473,906,864,797,963,617,185,297,581,125,644,823,261,520,140,652,
743,164,308,759,478,832,611,638,359,050,766,880,581,184,118,574,190,323,394,
189,520,629,209,172,066,553,958,442,130,113,828,323,468,955,883,210,329,933,
208,653,683,445,348,973,918,834,056,515,178,807,136,717,873,831,121,464,248,
558,709,747,113,788,102,508,557,582,788,866,916,312,513,374,622,361,985,456,
348,247,882,037,654,031,843,436,260,131,992,597,494,906,395,739,654,505,149,
517,967,837,660,983,971,668,696,700,963,406,574,314,288,186,388,659,096,192,
971,131,374,639,776,128,524,499,241,616,919,685,348,288,002,850,811,274,844,
192,753,900,383,721,125,939,997,046,496,352,910,553,044,385,420,770,166,121,
215,472,431,333,148,235,988,247,851,057,591,719,877,192,439,897,471,053,417,
279,776,225,460,760,541,646,788,923,494,466,867,045,662,764,498,265,487,229,
181,861,208,946,647,641,529,247,983,778,351,160,666,305,238,021,530,127,198,
481,448,039,549,328,472,405,663,711,645,159,618,683,763,703,820,552,725,358,
799,211,931,876,524,429,836,416,079,670,816,389,285,805,092,072,584,673,778,
300,027,088,981,294,272,754,780,988,342,621,186,581,304,103,265,016,098,935,
018,208,652,837,361,256,952,145,553,575,627,915,527,150,223,877,136,028,093,
002,810,646,886,215,897,768,502,583,689,554,029,819,443,865,323,283,378,715,
901,368,210,138,820,292,117,601,355,847,588,512,784,487,611,099,433,118,511,
108,858,933,424,039,185,811,116,714,723,551,176,081,315,173,429,721,177,212,
324,943,828,697,861,669,680,493,753,589,963,783,994,752,693,225,185,196,686,
408,738,438,190,738,395,409,494,545,210,714,451,834,207,593,305,943,537,137,
071,837,340,946,187,225,256,315,922,490,217,974,521,945,550,971,296,529,480,
956,640,160,215,180,781,301,764,682,361,824,722,860,166,204,567,560,653,978,
142,255,109,273,954,091,705,962,244,399,936,858,215,351,667,750,900,367,664,
679,360,326,899,493,142,104,145,320,960,358,811,756,150,262,448,459,527,629,
798,939,910,478,585,087,116,809,601,235,684,298,266,040,736,412,624,801,771,
783,817,732,970,889,049,330,691,965,418,797,577,846,104,320,895,985,833,742,
763,879,044,724,569,423,287,376,582,741,672,119,275,233,622,110,402,073,200,
151,219,373,213,722,798,974,259,746,371,304,096,419,927,847,062,553,616,107,
088,309,527,201,216,016,734,879,654,816,146,552,043,826,585,340,327,638,429,
195,465,875,675,981,681,141,874,969,666,045,266,631,994,625,047,490,770,170,
013,237,003,165,976,236,928,781,219,991,338,416,458,218,603,170,028,468,856,
653,491,651,875,382,363,032,826,409,952,076,732,742,677,806,233,319,532,648,
638,509,878,799,609,919,513,897,783,147,123,791,104,532,339,472,076,013,357,
594,419,109,116,353,889,798,887,240,617,734,069,247,954,913,156,056,642,860,
973,739,674,382,545,016,345,661,102,170,793,835,803,801,518,959,382,650,783,
118,670,491,910,553,880,760,653,428,165,223,683,225,535,011,305,940,126,447,
310,484,113,579,847,258,519,883,862,402,106,981,045,569,034,802,769,482,254,
460,094,409,780,829,314,915,516,897,490,184,185,604,006,931,717,268,304,331,
907,829,339,238,949,430,139,616,049,672,019,744,194,277,946,838,204,652,594,
133,178,453,233,436,827,680,521,252,353,200,570,929,861,745,439,270,035,695,
914,839,678,456,903,052,804,831,972,926,465,010,351,385,192,506,901,588,330,
191,636,816,941,981,720,764,442,555,143,430,851,596,668,530,929,996,244,483,
814,249,802,420,705,969,514,813,436,092,618,666,228,818,098,666,271,897,395,
511,834,799,751,598,950,517,295,885,977,791,609,031,138,781,337,689,919,246,
630,880,800,218,686,336,526,683,504,944,447,527,635,183,515,854,657,509,427,
081,631,575,480,593,975,393,690,108,227,669,115,060,150,083,459,957,656,460,
657,502,997,750,317,056,169,650,671,918,745,061,257,617,370,532,548,639,595,
404,240,377,200,397,501,698,612,212,937,804,423,264,631,032,078,850,459,258,
198,045,093,731,810,871,726,655,042,705,229,907,114,898,543,287,091,293,867,
933,212,229,962,383,188,288,822,332,957,626,915,318,562,890,118,725,484,014,
132,975,713,332,107,867,267,940,471,010,378,147,378,210,701,955,783,675,863,
213,913,087,571,466,980,601,196,453,361,648,378,750,774,831,641,166,255,786,
806,428,586,599,970,178,270,653,591,898,646,702,810,342,240,879,812,704,594,
497,084,869,457,285,422,284,883,966,223,912,405,994,358,271,786,432,883,874,
158,611,408,663,529,002,012,079,408,924,980,327,809,641,128,723,495,564,921,
646,140,480,667,840,483,626,107,918,912,346,873,526,147,225,715,333,472,424,
852,607,666,581,252,226,191,993,676,369,758,261,602,818,585,770,012,504,695,
228,781,050,610,137,430,982,257,187,384,213,596,016,342,440,319,168,509,576,
931,492,803,620,040,625,921,776,550,168,034,456,289,394,180,789,798,219,701,
352,025,067,470,097,524,021,127,672,930,428,233,663,139,958,512,782,387,089,
916,262,618,163,257,858,057,754,886,393,604,195,802,353,944,793,501,322,331,
372,792,587,778,793,661,584,848,460,872,675,586,314,375,372,409,987,855,444,
649,385,943,697,499,816,301,692,088,279,405,495,231,495,560,284,296,595,442,
038,310,552,773,769,139,221,591,151,558,551,272,021,339,692,445,794,192,357,
669,805,503,390,614,017,146,097,923,185,433,884,990,859,588,214,597,198,662,
342,707,069,466,469,029,492,163,004,610,740,847,937,179,448,174,775,969,536,
655,832,428,702,446,660,686,714,492,843,605,691,732,502,088,098,913,934,056,
070,493,723,648,290,732,097,864,073,037,243,066,546,922,657,149,362,379,411,
169,257,595,565,805,597,162,535,655,521,027,074,781,593,338,174,293,014,382,
476,993,075,825,905,712,951,339,270,799,253,473,471,735,021,393,629,539,313,
894,582,373,227,964,347,544,733,045,890,174,741,583,276,365,277,837,596,327,
594,016,339,344,425,125,996,101,218,497,420,920,834,388,901,609,549,912,687,
691,039,298,706,914,071,981,736,867,547,812,754,220,743,240,205,088,785,709,
089,799,594,083,284,826,809,859,817,086,305,990,460,455,788,522,922,668,369,
506,831,243,397,418,525,437,263,928,634,885,145,548,128,110,596,302,689,576,
484,337,736,219,063,651,055,046,731,501,137,655,309,695,953,742,588,536,677,
047,134,507,264,118,203,963,343,648,290,226,353,365,891,531,558,949,807,807,
283,427,410,354,202,679,947,618,376,976,494,940,863,404,018,412,185,189,142,
648,775,741,103,568,100,813,614,443,792,336,942,840,042,724,170,183,909,721,
496,336,482,826,078,091,155,990,120,632,053,452,784,172,381,858,050,236,390,
886,616,872,317,204,664,817,640,900,481,551,789,174,208,024,672,385,029,669,
477,810,391,091,664,895,457,925,300,242,259,165,590,970,403,130,225,435,664,
830,333,974,861,559,011,414,256,439,463,225,645,842,629,856,593,507,005,374,
061,433,415,478,145,231,030,644,924,800,546,280,685,839,152,955,590,803,288,
885,662,636,500,128,310,482,166,744,597,971,764,329,231,197,752,371,635,512,
119,357,931,930,397,353,204,014,468,829,118,879,064,867,608,632,300,728,765,
731,426,779,902,417,638,493,447,137,522,947,352,847,840,537,007,186,695,457,
348,540,963,120,642,531,080,173,610,320,436,959,947,564,413,782,920,968,389,
703,408,696,280,726,922,409,378,929,339,544,359,840,449,590,868,156,317,191,
034,187,381,695,913,435,965,870,813,179,673,860,753,408,901,419,752,650,706,
064,331,122,239,899,961,429,900,157,788,914,700,719,538,667,721,519,649,784,
715,184,028,115,282,041,163,957,332,429,512,327,380,530,786,643,025,852,646,
320,129,897,532,392,339,497,996,646,894,687,299,437,838,301,576,502,784,041,
790,856,022,458,572,268,551,558,142,383,011,942,264,531,214,146,920,333,652,
127,663,670,314,781,053,568,168,288,933,502,107,515,753,549,908,669,080,133,
171,067,584,805,991,374,969,003,465,096,858,627,451,888,336,462,083,600,078,
167,322,648,521,685,278,288,786,959,155,003,407,224,246,962,024,295,649,627,
953,565,652,075,439,966,964,097,585,151,432,371,725,113,950,862,528,989,247,
054,313,888,040,010,375,562,484,618,297,670,140,210,682,143,778,262,534,401,
917,042,732,475,803,955,418,254,764,693,010,260,064,360,023,921,374,965,363,
932,315,720,062,743,696,958,986,173,806,095,255,169,550,195,193,379,642,567,
802,621,453,378,666,462,852,255,653,370,990,088,595,222,928,018,025,107,383,
244,931,525,964,232,010,498,976,310,284,707,403,090,065,766,554,910,092,600,
562,854,365,951,656,864,472,737,852,841,440,710,811,903,795,080,379,221,646,
007,125,898,213,866,124,099,310,381,832,884,309,468,450,146,541,644,977,614,
740,329,614,852,662,593,759,627,887,887,527,262,622,713,307,593,772,064,934,
584,312,254,274,255,821,951,955,959,424,899,398,917,272,523,316,193,191,412,
632,424,636,576,143,116,041,329,523,781,932,692,071,103,094,527,553,833,807,
743,725,590,454,283,071,014,939,101,087,023,491,579,021,244,932,417,013,525,
019,644,398,353,899,170,192,394,148,804,041,774,293,907,793,487,682,643,453,
791,083,477,216,102,651,920,047,673,712,560,585,454,124,802,007,518,626,443,
140,577,131,597,799,048,296,002,686,116,789,140,742,592,703,792,548,212,865,
287,169,049,556,072,120,274,499,400,629,738,190,829,186,977,768,561,692,308,
395,865,566,821,855,553,054,660,377,331,820,361,453,155,855,289,074,435,529,
829,862,570,837,893,044,270,857,716,867,706,195,875,548,465,736,420,739,289,
101,147,754,766,281,970,592,974,635,997,067,407,497,329,343,661,105,678,925,
695,222,242,879,711,316,807,620,028,696,916,487,821,468,336,951,568,662,561,
302,025,853,956,795,014,406,126,675,179,182,605,983,103,512,117,690,900,672,
390,223,426,502,271,894,006,072,200,260,888,321,777,600,032,726,672,641,940,
692,692,908,275,463,790,603,594,621,885,338,055,835,551,212,353,383,265,443,
161,103,576,769,725,878,489,598,504,547,694,523,827,122,245,007,762,528,723,
616,832,556,051,150,732,427,279,056,529,500,863,041,940,656,644,196,349,371,
694,490,769,389,838,728,931,548,387,341,274,538,044,405,248,275,413,108,335,
264,792,460,368,150,935,917,083,943,062,292,677,786,291,889,316,502,795,168,
150,293,577,605,463,006,243,192,121,242,368,176,577,639,690,522,683,469,556,
923,781,407,370,910,066,513,200,655,472,457,418,778,038,551,852,802,930,398,
679,292,770,132,645,513,965,509,035,873,169,275,441,709,736,551,823,946,024,
929,275,105,600,638,751,171,547,542,595,927,420,643,505,587,347,593,224,159,
881,398,131,948,973,969,922,379,868,249,937,592,218,033,974,498,613,899,368,
579,517,209,794,032,580,985,567,386,288,318,144,591,021,560,212,300,573,188,
575,138,899,268,111,211,777,996,170,073,727,175,762,179,400,069,658,127,459,
147,706,569,101,124,039,520,378,249,672,129,274,075,551,496,513,069,145,960,
069,752,504,818,637,564,612,515,391,776,704,772,809,875,260,749,180,239,495,
060,496,974,191,097,033,031,752,328,580,698,122,355,371,335,826,767,555,899,
457,658,036,952,815,301,077,912,460,687,721,655,281,059,341,022,978,307,691,
687,073,686,169,514,496,498,921,427,426,750,543,259,711,760,984,026,907,958,
506,885,687,324,298,075,788,331,049,263,518,281,204,996,082,714,829,582,613,
605,376,463,896,295,161,618,374,044,819,993,581,046,989,879,494,849,294,358,
130,926,305,738,413,662,413,959,607,130,965,527,473,464,256,096,057,822,182,
140,549,640,696,332,601,704,560,487,179,717,399,980,823,633,276,029,851,335,
882,908,260,537,103,827,847,890,453,790,040,549,100,399,830,927,588,557,022,
443,953,516,539,112,825,372,995,279,557,389,267,097,440,961,109,082,475,569,
496,889,853,570,797,323,158,135,917,711,161,888,177,394,101,701,867,371,332,
884,414,280,779,519,947,452,827,348,605,194,005,808,928,264,173,339,833,244,
867,557,748,611,398,942,805,518,323,329,963,531,867,377,601,240,733,113,767,
301,907,131,883,109,881,162,659,333,498,212,182,743,487,679,565,971,228,982,
894,005,176,264,811,167,704,556,135,791,872,957,008,503,953,905,982,290,059,
560,197,555,988,536,385,041,649,000,781,540,269,867,109,004,117,011,319,840,
664,016,311,268,553,057,713,670,210,636,621,435,828,204,601,206,481,840,070,
166,449,201,495,262,735,740,354,486,453,985,341,156,538,194,553,590,689,841,
897,683,301,186,932,673,934,126,500,468,113,403,256,761,331,198,914,922,557,
809,480,404,608,725,444,921,942,627,517,155,657,365,827,654,994,776,656,640,
985,445,105,055,393,125,123,979,552,087,868,831,739,976,340,516,441,149,601,
819,858,365,775,288,543,234,459,807,973,653,845,775,510,825,474,283,032,622,
544,345,525,630,356,416,695,236,029,552,732,171,807,877,538,796,119,256,161,
000,064,364,130,063,180,824,394,170,087,597,131,496,574,716,941,161,754,816,
231,132,213,854,909,574,017,416,550,865,814,974,682,045,607,330,442,620,917,
337,068,197,541,175,601,968,065,391,237,235,352,642,321,797,463,185,318,873,
232,664,761,068,812,572,168,703,442,270,532,633,925,898,667,303,164,781,990,
775,397,110,231,197,899,108,750,557,713,935,055,159,022,859,138,160,933,089,
500,630,294,541,895,911,847,618,515,679,857,294,318,721,240,632,030,377,289,
602,100,405,248,939,503,527,708,400,690,945,354,749,652,639,714,374,536,202,
928,270,313,095,718,330,555,069,591,712,477,722,111,831,128,513,689,629,850,
562,125,978,310,008,972,100,290,183,607,553,564,135,196,827,040,345,764,826,
863,183,750,270,862,097,738,232,226,149,610,986,750,395,916,224,552,896,212,
180,963,831,362,202,379,764,719,638,123,697,986,107,735,624,245,788,126,822,
444,324,068,186,003,406,420,708,226,389,890,402,448,115,085,107,661,153,592,
132,186,396,700,670,949,833,023,572,906,761,188,174,205,558,444,000,378,109,
580,419,422,335,859,438,293,853,599,855,603,822,382,489,185,279,435,726,896,
811,913,500,851,923,154,602,371,379,093,184,501,861,364,554,699,979,961,454,
552,430,593,278,697,779,609,076,185,618,850,815,492,774,718,833,318,168,958,
863,273,793,620,970,302,608,687,516,000,141,958,769,018,472,961,853,078,410,
800,313,647,995,947,837,938,015,282,203,256,666,291,157,687,855,942,842,679,
063,312,051,789,112,033,136,887,023,760,088,362,936,156,059,192,078,680,348,
137,819,566,603,401,229,968,721,319,920,972,520,792,632,733,208,104,548,227,
761,457,144,671,849,353,427,827,973,972,547,112,897,706,941,429,281,994,685,
981,728,947,302,140,137,396,629,259,832,185,135,002,474,014,823,202,117,077,
115,684,295,255,802,999,857,881,816,675,246,148,776,226,920,540,425,744,049,
837,587,210,611,949,780,594,676,832,531,509,570,707,933,363,272,906,158,984,
012,444,818,528,528,664,781,119,275,887,365,427,474,400,976,683,025,590,235,
886,340,802,706,350,540,900,889,962,014,875,026,947,684,624,612,305,902,805,
671,812,897,887,806,555,227,387,749,245,272,896,125,484,083,865,060,837,675,
086,943,792,827,424,151,954,886,290,062,500,855,048,302,784,828,390,957,705,
605,029,734,654,292,009,564,951,483,451,453,866,508,600,352,687,058,311,825,
659,578,975,064,245,897,551,088,514,971,469,243,548,267,624,307,953,697,332,
341,498,874,381,253,302,079,525,962,993,609,226,016,561,025,826,430,838,977,
447,007,332,085,443,946,745,754,995,023,644,950,774,974,487,204,653,190,323,
325,243,111,766,366,323,418,799,692,756,035,384,258,732,945,386,049,424,739,
972,662,591,777,176,519,633,290,515,961,956,183,421,864,757,525,270,115,923,
320,588,551,474,404,498,240,375,133,589,805,988,146,310,489,790,602,153,164,
428,806,936,130,133,254,764,295,093,396,788,339,436,219,706,271,090,505,952,
321,677,580,132,552,011,679,859,592,498,237,355,006,008,829,617,563,212,693,
097,682,539,798,007,839,942,501,089,651,926,306,054,646,642,202,474,362,634,
026,143,022,320,026,995,092,185,114,739,493,161,377,365,220,795,157,428,989,
021,169,275,954,095,721,736,120,604,821,880,059,475,939,173,184,183,814,350,
477,281,964,428,505,197,178,954,759,491,393,513,135,991,144,135,226,933,479,
952,198,508,008,087,806,484,099,818,901,499,556,443,839,464,592,075,055,406,
183,181,114,105,891,634,301,794,983,528,779,448,695,346,654,265,758,282,474,
761,097,960,785,276,148,626,162,587,393,836,431,434,998,437,459,817,973,679,
997,540,773,497,391,395,307,338,540,608,597,648,317,136,613,020,978,652,618,
085,432,047,315,971,754,490,339,018,287,724,405,822,322,066,835,634,128,028,
011,225,814,483,124,695,876,819,362,848,637,284,701,939,602,548,548,822,039,
417,195,453,059,397,413,234,029,206,873,381,604,248,557,140,891,263,167,270,
304,714,409,550,120,827,629,642,111,605,213,719,668,240,507,906,339,802,347,
846,795,863,029,511,431,539,414,574,219,621,470,696,590,522,403,118,434,998,
667,658,216,721,734,951,168,884,236,002,098,366,659,253,575,628,818,792,687,
481,474,929,211,802,599,265,307,489,911,670,439,866,917,667,949,005,868,582,
386,273,258,199,968,497,143,196,713,352,678,683,473,778,207,114,572,993,313,
410,662,649,212,642,550,502,874,889,730,237,225,474,457,526,100,026,026,087,
574,998,050,180,224,653,755,694,041,338,334,459,050,404,848,626,381,926,413,
337,871,364,956,435,050,077,209,746,312,915,711,404,894,665,089,007,128,593,
079,895,322,435,380,598,503,618,555,222,215,645,969,307,254,506,880,850,671,
765,098,718,680,371,757,256,682,010,651,754,947,434,230,094,392,364,789,865,
011,833,630,416,428,368,399,015,919,639,986,057,718,351,312,152,947,276,017,
150,377,841,921,612,519,312,291,152,502,195,297,788,876,270,131,107,454,298,
328,222,725,904,760,940,777,103,071,668,126,162,156,565,396,131,729,850,411,
960,710,161,310,491,057,950,305,453,908,302,905,263,047,835,406,009,719,110,
793,521,485,021,641,305,059,679,670,426,778,418,241,879,660,558,447,036,201,
270,096,658,014,288,038,297,658,364,854,343,124,750,567,787,167,041,512,383,
289,426,536,229,837,281,372,638,093,668,317,339,806,827,974,171,165,615,624,
317,164,175,792,225,919,325,775,162,474,267,746,968,660,226,586,097,503,336,
643,572,826,553,784,963,136,109,588,902,693,197,471,552,083,001,902,253,927,
240,229,788,613,346,165,249,740,708,000,292,631,705,505,253,067,634,707,224,
059,185,942,177,646,861,291,800,445,304,115,874,703,514,415,099,433,911,948,
907,068,299,630,682,462,173,416,845,648,380,681,680,125,245,746,293,039,669,
834,613,532,218,959,560,773,307,726,924,588,783,128,264,012,230,116,317,388,
485,732,314,598,261,182,668,814,931,229,159,783,149,308,352,423,267,174,616,
924,956,522,196,414,187,092,911,118,527,586,052,747,584,025,014,120,346,279,
702,473,751,077,684,087,334,580,619,908,940,364,772,093,392,033,155,122,070,
339,301,880,907,572,087,158,933,309,481,604,978,372,934,889,403,123,019,760,
770,809,462,777,887,224,823,410,905,097,796,050,084,931,461,342,247,709,408,
826,364,319,087,145,698,477,853,789,736,702,949,969,423,868,692,905,698,582,
848,213,176,410,534,942,934,732,467,826,305,108,986,332,410,671,547,295,998,
105,521,433,246,058,186,913,781,486,873,167,509,876,657,531,852,639,322,691,
361,569,549,553,298,296,099,500,129,462,525,254,979,061,516,243,571,495,893,
489,380,430,342,709,195,529,635,184,151,431,493,714,032,241,321,431,924,584,
009,262,184,362,466,326,810,876,420,999,045,249,632,684,776,834,789,846,151,
608,938,273,038,432,115,247,165,380,834,136,957,076,360,766,101,758,128,140,
161,745,881,736,049,593,290,690,392,037,073,420,698,489,737,450,382,326,575,
846,510,207,744,106,655,186,781,481,418,091,656,980,547,345,754,879,653,342,
768,964,731,268,097,895,116,091,987,857,813,279,462,554,313,358,196,639,547,
766,082,910,721,783,691,701,290,977,880,724,606,119,180,983,720,521,330,449,
494,775,782,000,965,258,652,161,020,042,591,640,345,994,718,341,060,123,294,
030,625,520,151,348,859,602,831,279,415,087,484,803,042,069,338,805,935,227,
075,510,137,415,757,239,834,991,271,750,181,070,871,277,761,621,092,125,436,
201,440,459,059,627,562,396,792,838,234,905,140,808,052,762,877,026,215,884,
638,992,114,740,441,070,477,241,008,398,683,074,704,990,267,158,640,731,599,
674,657,118,628,354,150,883,433,262,604,513,950,402,292,069,293,942,415,738,
603,528,361,290,530,157,586,497,003,609,280,093,072,929,645,391,093,503,041,
870,333,370,753,742,942,309,068,896,379,460,718,921,894,334,926,487,477,496,
290,885,270,768,043,194,093,961,529,432,800,176,873,329,779,045,073,469,146,
174,600,391,832,457,532,333,127,824,312,663,171,539,634,955,224,126,895,599,
964,085,103,096,700,850,268,684,992,333,217,433,324,156,555,595,595,582,693,
883,384,661,981,734,919,803,298,245,235,257,786,665,308,530,768,752,709,644,
380,958,071,319,050,740,861,758,280,470,623,293,532,924,398,012,395,564,108,
339,575,380,284,336,624,368,163,020,961,575,300,442,099,187,604,520,969,598,
975,751,971,179,793,330,891,736,761,433,201,286,859,855,974,166,340,062,496,
600,742,601,512,314,069,650,238,077,618,563,139,215,188,815,834,253,655,541,
213,530,767,993,286,239,213,142,422,725,184,828,071,966,035,580,303,712,152,
819,396,327,273,061,658,538,996,570,383,431,849,859,862,975,555,438,752,690,
095,397,016,706,000,831,854,518,796,795,923,586,144,190,208,125,714,707,636,
685,212,101,453,736,250,279,631,822,085,033,516,877,828,977,624,671,609,162,
607,787,126,296,304,189,860,192,059,557,330,369,776,804,089,089,482,531,002,
401,279,344,773,491,667,074,752,996,344,793,741,791,231,779,954,625,181,779,
193,830,525,450,817,943,739,592,346,229,298,652,310,622,513,017,391,942,031,
234,805,452,182,711,471,753,464,495,020,223,674,102,297,577,828,958,515,174,
743,375,146,258,755,254,082,539,545,459,368,594,438,945,824,681,450,500,774,
407,228,956,398,717,804,380,526,205,829,844,839,783,156,919,617,813,311,604,
244,644,736,216,554,247,079,492,395,909,648,236,103,443,305,012,886,252,894,
797,818,996,528,529,390,523,290,831,938,155,786,417,502,645,568,811,100,947,
835,266,761,981,493,229,999,932,942,640,551,734,952,363,653,063,804,275,244,
907,451,874,412,249,585,436,714,945,494,881,662,984,928,109,302,598,665,309,
007,859,483,233,610,693,151,699,563,593,546,779,349,416,430,059,446,602,642,
034,425,071,325,086,697,982,320,086,829,249,620,139,393,105,825,790,111,859,
438,554,637,254,398,929,581,132,644,370,341,048,072,982,871,700,930,725,937,
826,747,553,198,935,718,602,272,434,419,496,103,884,609,496,878,885,893,969,
843,671,440,230,126,627,290,115,433,427,694,021,236,618,807,540,919,078,621,
502,597,643,282,445,702,066,292,309,128,053,156,047,150,379,771,044,528,905,
325,685,174,870,782,921,597,468,836,061,267,036,910,915,986,684,345,817,909,
515,991,896,449,160,804,833,948,805,632,420,512,567,347,881,936,780,033,369,
170,897,637,728,301,327,677,363,892,968,576,465,182,222,586,841,189,710,842,
793,178,985,222,486,352,086,961,649,743,840,449,662,836,151,781,100,652,775,
992,849,709,998,425,313,408,027,666,925,192,132,753,122,025,752,748,517,983,
419,513,530,447,349,573,725,171,246,449,750,783,562,148,338,861,960,091,115,
879,158,215,944,923,695,550,667,601,132,787,259,578,365,087,287,816,614,143,
549,832,065,287,867,622,269,898,516,998,524,175,920,499,267,971,580,696,073,
260,613,498,477,252,969,986,046,147,050,942,640,923,266,298,002,570,933,430,
163,319,652,568,722,226,309,442,548,271,901,261,694,792,225,738,708,728,821,
512,946,379,308,537,945,906,909,529,402,460,892,380,031,475,577,827,316,324,
487,875,985,630,132,488,988,983,034,778,350,146,021,619,589,262,329,144,737,
731,241,934,756,371,980,129,221,163,960,353,846,316,986,703,491,358,102,488,
865,291,780,289,299,305,764,634,393,464,118,577,256,189,308,568,832,530,356,
270,741,476,309,849,895,391,088,073,343,523,066,704,762,212,243,790,400,311,
616,826,155,933,333,100,753,925,442,222,930,744,123,103,448,588,293,965,719,
882,711,195,638,520,834,834,215,531,990,384,942,130,072,915,758,583,470,941,
448,006,458,149,390,233,685,768,239,678,377,758,745,764,159,999,480,801,685,
561,708,422,115,071,089,252,147,424,999,960,398,954,061,887,352,770,096,627,
675,880,907,237,098,197,088,622,311,054,267,638,229,530,039,464,533,839,048,
550,250,172,613,521,681,630,791,504,828,031,453,685,623,964,123,306,496,537,
070,947,895,429,004,100,498,484,189,706,320,811,390,901,044,031,708,876,168,
562,588,201,568,369,105,746,193,332,180,504,623,287,146,453,119,372,611,779,
437,920,724,147,473,493,676,871,952,433,722,902,449,141,110,077,338,013,124,
465,352,099,948,272,279,615,866,113,850,744,491,582,641,082,401,257,088,594,
600,752,912,159,139,282,993,442,750,025,419,318,005,221,863,419,958,467,176,
270,395,670,134,985,526,513,861,230,069,226,483,389,590,866,751,284,160,183,
759,966,605,887,948,826,729,487,283,230,043,124,274,412,452,983,910,792,880,
114,673,246,042,024,567,614,025,671,564,160,571,599,592,160,167,768,972,708,
739,031,133,300,614,777,853,607,365,007,371,386,976,915,536,843,269,571,213,
490,664,887,692,580,007,003,883,889,142,680,822,196,376,008,105,415,396,886,
002,826,593,280,957,402,447,482,751,470,380,028,798,007,001,580,399,206,871,
646,357,496,824,176,615,190,716,721,482,771,784,382,925,493,401,695,327,625,
105,878,608,018,472,387,032,526,870,702,476,943,363,641,918,418,683,213,602,
758,103,302,114,528,121,021,124,361,526,030,975,408,939,054,541,409,155,117,
309,038,679,574,129,960,445,020,935,395,150,231,568,651,547,905,872,925,454,
031,007,853,694,083,505,750,711,759,642,134,966,390,428,159,824,322,674,308,
005,780,548,112,195,831,132,185,665,445,570,678,221,041,401,403,087,633,960,
493,401,975,276,704,943,823,660,445,224,925,403,848,876,118,983,286,114,840,
230,715,804,755,195,392,295,061,657,820,634,732,925,545,847,764,886,841,129,
299,289,798,398,780,201,659,765,772,115,928,136,963,947,381,477,836,450,847,
435,937,797,371,453,051,071,820,017,830,374,854,770,865,201,634,565,454,428,
629,320,001,945,537,912,136,255,465,907,604,294,327,074,833,028,839,316,882,
161,801,036,217,637,233,370,408,328,716,589,549,109,975,796,115,710,837,827,
736,492,146,999,180,520,897,506,833,403,867,744,878,933,469,914,634,768,758,
645,658,575,075,132,953,790,592,795,694,413,733,664,453,817,694,102,733,338,
403,909,005,837,356,519,296,919,384,594,205,680,898,290,956,135,151,539,884,
436,218,914,974,173,543,487,475,027,712,939,584,800,289,976,992,335,379,489,
769,732,613,326,659,967,086,808,743,592,681,856,435,360,206,633,678,402,389,
507,866,915,824,874,554,204,805,030,134,368,607,501,538,690,631,244,874,493,
928,597,250,676,867,799,262,281,708,697,794,760,031,314,022,716,553,384,515,
719,139,583,780,941,504,106,540,639,055,697,557,374,786,743,954,245,828,227,
632,289,231,128,076,829,122,874,090,671,425,283,622,427,293,738,447,603,189,
314,118,226,957,610,894,934,176,803,720,957,323,578,589,819,466,249,786,924,
911,819,696,489,395,338,562,252,902,536,857,699,256,551,211,011,037,618,721,
053,788,971,847,263,319,820,952,631,069,109,466,803,044,395,560,126,137,934,
426,992,209,810,331,851,175,588,658,797,024,891,195,181,748,410,790,681,503,
581,940,883,823,962,608,046,998,967,681,492,368,734,969,253,114,481,260,278,
744,067,142,846,153,128,827,684,607,185,578,997,700,397,212,647,965,537,768,
374,538,075,656,983,325,919,901,200,347,046,200,041,156,272,601,013,997,564,
113,884,504,332,341,554,366,484,446,327,348,438,635,836,006,478,565,190,733,
444,478,746,854,071,752,654,728,420,137,650,367,535,150,610,103,991,611,936,
912,307,296,507,863,784,609,601,837,906,722,176,126,764,801,804,356,267,687,
292,053,942,421,638,080,675,059,300,614,694,971,048,587,441,970,914,361,961,
228,727,512,211,837,229,955,079,292,920,649,338,371,338,422,273,159,380,797,
424,191,289,623,206,506,329,754,174,225,148,844,343,062,144,341,174,595,827,
586,744,402,623,060,627,070,994,243,791,652,538,437,223,281,112,838,509,475,
008,455,468,164,010,015,361,695,146,343,840,894,816,184,926,020,043,623,821,
064,326,238,424,875,129,640,600,069,213,603,927,936,357,551,222,404,146,182,
873,668,981,598,696,805,593,911,596,746,657,791,129,357,378,676,119,456,871,
182,502,044,605,007,667,206,618,427,589,444,030,441,445,368,952,044,136,781,
658,711,628,595,505,915,556,528,661,705,731,433,271,198,033,362,850,116,160,
673,632,095,934,217,245,572,688,366,024,054,245,226,487,252,013,816,724,855,
168,009,701,653,049,402,236,923,369,317,862,399,510,266,610,489,405,587,727,
828,991,965,895,572,773,136,842,601,186,771,093,877,284,520,335,904,792,660,
361,332,690,649,328,534,527,749,666,608,366,753,208,720,044,908,274,159,948,
054,910,797,745,283,121,524,125,866,043,320,906,131,998,465,085,944,695,064,
013,344,380,366,318,582,702,403,866,770,859,611,539,710,783,415,033,645,827,
685,291,728,455,393,319,095,342,041,501,480,295,990,326,069,410,781,770,304,
590,638,603,125,308,036,436,710,747,264,168,262,540,799,686,870,517,326,090,
576,620,091,290,065,999,023,696,081,884,363,081,027,399,024,322,317,491,723,
380,094,993,911,446,254,983,353,630,582,662,155,896,921,024,158,418,203,321,
543,346,298,051,831,340,985,371,329,846,742,473,741,276,703,690,714,737,790,
175,945,005,972,843,690,940,311,717,781,781,614,393,324,759,484,260,312,383,
164,218,583,058,514,581,782,119,965,145,265,023,035,995,057,892,230,333,403,
783,662,271,697,601,094,861,419,431,403,951,607,641,401,469,671,647,868,232,
313,503,421,383,600,676,607,917,560,356,573,707,793,446,922,130,725,127,168,
179,930,109,711,800,106,043,608,443,469,252,780,172,527,698,814,055,390,935,
283,021,152,231,992,252,375,975,962,055,901,917,588,128,791,288,437,234,487,
657,020,947,405,512,777,791,563,627,888,389,441,989,737,200,342,021,104,069,
139,678,186,617,679,918,505,838,045,647,840,737,282,982,078,256,758,054,844,
314,514,698,583,332,866,879,623,610,591,263,513,250,127,716,245,585,640,596,
747,444,853,726,949,684,245,656,778,765,492,079,904,792,028,150,100,211,050,
974,032,983,047,811,059,484,310,402,404,176,441,065,822,951,063,322,980,345,
270,008,794,683,642,816,478,395,882,073,644,516,899,951,779,443,557,599,281,
233,782,481,178,991,656,519,271,742,172,502,810,895,620,485,761,164,795,691,
055,069,962,531,390,255,841,293,634,771,255,980,849,885,267,836,961,375,365,
902,157,435,772,473,257,476,606,523,187,889,284,336,347,238,714,986,269,906,
605,661,448,535,374,041,731,791,067,202,271,615,359,550,221,892,210,738,771,
455,310,855,597,503,488,036,942,344,831,519,072,061,876,996,801,666,739,579,
875,443,491,812,330,897,185,969,127,083,314,855,558,982,687,429,214,680,022,
327,432,023,335,895,639,139,049,537,323,263,998,587,906,417,702,923,273,613,
166,411,452,087,835,680,341,596,674,394,938,229,082,516,099,184,037,082,788,
180,673,150,445,718,718,285,579,279,473,140,868,796,052,624,561,220,420,183,
003,892,118,529,578,078,900,179,210,041,272,051,782,050,573,279,230,588,780,
557,652,793,001,407,357,988,897,423,323,280,540,194,582,245,306,212,546,104,
195,032,236,655,579,335,482,456,935,622,937,897,723,530,332,787,755,761,886,
732,142,150,203,636,805,960,213,618,822,500,528,727,553,103,272,013,635,333,
749,909,743,851,543,067,991,843,159,060,796,094,728,760,001,358,210,563,334,
728,804,074,555,905,917,317,021,077,678,072,261,232,218,789,589,262,585,477,
405,370,069,749,811,342,554,338,803,298,169,302,445,203,878,588,335,178,474,
273,071,023,866,852,908,365,184,390,414,023,471,230,853,144,910,793,242,059,
321,475,008,143,298,312,156,358,200,231,248,606,328,890,301,836,947,457,587,
948,983,179,278,052,041,730,946,192,359,840,542,106,113,632,154,473,909,091,
438,247,476,179,524,226,106,262,339,579,513,133,211,718,994,185,572,481,137,
335,921,462,830,534,555,376,639,270,696,598,371,935,353,144,248,421,882,083,
151,250,849,861,908,180,943,696,591,473,048,369,327,645,050,704,890,396,313,
608,003,016,224,218,120,943,062,458,281,032,940,761,208,852,241,341,165,826,
209,463,332,930,696,801,810,530,855,552,751,751,532,650,466,716,460,627,623,
260,088,883,641,555,258,940,350,099,590,417,992,318,254,141,073,611,156,138,
720,477,785,629,683,831,116,628,094,024,922,036,458,078,342,015,180,610,486,
463,979,470,629,262,475,992,710,774,156,972,561,315,246,888,266,104,668,061,
287,252,030,595,087,275,693,293,643,663,916,524,218,084,060,250,572,215,355,
198,841,855,618,544,739,524,141,119,448,823,274,781,387,237,991,020,836,681,
155,715,018,708,925,684,362,887,269,191,673,282,866,879,941,771,893,601,879,
812,717,361,508,500,626,570,868,765,996,780,088,027,043,688,883,286,351,914,
663,980,722,022,222,785,254,649,423,948,548,988,261,926,102,646,566,237,247,
487,562,902,593,963,806,202,177,120,120,515,323,530,204,923,252,511,015,714,
792,078,841,635,567,356,866,809,868,264,971,661,097,697,313,327,838,822,284,
016,259,705,721,009,667,391,589,972,765,748,400,872,949,197,526,274,315,112,
001,732,056,475,192,561,506,190,844,775,802,311,205,943,996,269,936,628,771,
526,615,463,184,507,630,872,995,471,890,319,978,840,871,880,007,634,775,514,
704,329,154,693,275,638,015,190,838,474,011,350,099,765,842,759,745,747,703,
561,301,324,826,722,308,679,019,465,492,553,189,956,591,572,273,797,215,352,
001,756,679,098,393,397,339,786,917,799,049,290,508,477,817,016,001,920,251,
354,584,787,929,259,082,279,230,887,167,694,814,521,393,228,095,200,839,722,
568,731,159,824,836,522,338,241,060,549,489,618,820,684,961,436,391,521,129,
870,398,618,035,281,042,391,735,329,342,358,588,151,198,128,648,757,650,743,
084,503,518,367,976,830,452,709,416,857,844,557,592,335,288,714,781,214,454,
372,404,848,319,559,152,062,541,537,378,703,618,538,770,612,039,934,868,321,
279,404,733,356,511,739,237,254,480,401,484,535,647,457,665,065,404,026,012,
934,798,453,326,697,059,798,501,243,812,597,047,551,761,274,638,993,159,288,
288,023,244,221,635,157,666,944,379,830,401,701,557,583,156,958,180,460,588,
133,282,329,753,717,100,095,865,242,735,545,719,120,608,168,960,506,231,177,
483,293,201,868,272,056,580,310,137,916,743,472,989,509,621,864,845,251,955,
453,537,696,263,803,693,427,635,628,823,687,841,121,903,098,136,743,576,092,
705,758,140,976,510,914,194,416,113,981,567,610,369,303,014,413,605,408,822,
256,462,460,546,860,111,503,246,477,363,057,533,804,738,883,790,749,957,513,
241,124,201,148,116,233,387,636,572,494,812,601,472,938,048,745,525,089,727,
416,123,942,432,625,819,671,236,124,638,893,774,951,612,123,434,444,761,960,
053,607,489,704,231,199,610,705,117,564,773,915,551,900,024,085,324,541,029,
037,776,658,482,467,747,586,840,399,257,717,237,735,364,273,491,689,902,077,
281,592,105,406,864,180,166,271,447,222,797,129,438,581,648,202,113,040,708,
033,703,249,127,726,115,563,430,341,718,711,131,038,994,440,303,953,928,844,
369,206,338,251,570,949,957,006,643,022,087,175,934,678,910,865,197,926,389,
591,961,938,223,500,027,560,878,149,729,160,600,614,220,953,325,571,215,212,
251,079,499,973,629,202,253,590,131,924,002,838,215,585,295,119,272,017,664,
738,261,171,061,579,410,389,774,842,013,379,923,186,536,769,924,310,506,000,
750,223,063,660,599,923,128,910,588,289,863,685,407,853,865,649,938,347,829,
225,411,749,606,036,235,329,652,916,862,495,488,220,237,760,238,478,275,155,
198,516,667,751,433,809,027,161,059,917,818,402,928,891,072,286,125,452,159,
114,101,340,915,987,401,003,802,419,597,590,533,353,972,879,222,772,803,189,
112,156,999,806,348,764,610,203,246,718,113,961,264,973,611,795,357,756,862,
329,007,964,634,064,566,418,220,418,053,798,991,895,576,799,364,926,214,357,
656,319,223,131,893,809,791,114,537,243,305,694,208,747,273,258,603,638,811,
977,464,846,050,568,348,294,973,815,579,750,640,483,418,523,039,550,577,373,
511,826,641,649,836,564,235,796,342,288,926,083,732,795,693,071,571,292,276,
015,732,554,404,930,868,450,047,457,459,445,707,636,012,126,164,712,376,599,
723,464,297,442,147,815,667,379,711,135,294,681,739,493,943,611,355,909,183,
568,250,952,106,594,826,920,011,709,807,110,019,596,307,934,160,916,771,994,
335,387,630,960,043,763,438,039,022,485,532,426,560,636,223,351,495,345,451,
401,929,019,794,821,769,155,471,003,693,322,575,497,088,227,819,890,887,392,
845,201,029,585,993,556,564,697,176,479,011,834,219,614,828,997,697,724,112,
685,698,729,863,727,347,194,322,085,892,854,631,752,592,249,452,519,017,580,
346,107,841,659,963,882,991,161,348,566,672,466,774,469,723,600,071,051,599,
094,720,400,954,132,226,574,413,435,549,494,254,686,248,364,485,486,838,252,
998,631,101,199,769,431,661,993,054,889,571,329,163,282,380,065,343,438,701,
576,944,357,700,786,801,900,889,074,285,007,972,140,937,077,542,418,762,404,
135,623,952,167,684,900,254,863,537,483,171,073,471,066,067,300,846,310,365,
092,942,701,896,741,051,568,330,262,656,235,341,230,892,442,699,917,237,228,
406,263,012,660,407,265,599,662,920,878,670,137,724,195,672,088,487,516,023,
393,263,411,859,938,018,148,771,870,656,478,462,425,680,077,331,253,423,452,
040,389,375,489,476,911,681,855,165,007,686,861,512,268,513,363,172,376,866,
345,195,764,524,342,771,871,084,414,748,133,442,277,293,886,757,154,314,041,
333,643,139,670,768,730,115,512,943,412,952,685,000,684,569,312,719,342,602,
449,044,252,897,036,210,836,714,701,976,057,914,941,993,357,641,578,240,172,
972,108,909,690,743,046,769,674,909,096,264,647,147,898,777,344,556,056,295,
382,523,106,818,859,228,386,551,185,998,256,262,966,304,221,461,189,845,337,
497,849,275,700,645,697,418,681,474,838,069,087,853,165,927,287,215,460,409,
797,474,099,113,105,073,331,207,639,839,193,022,187,109,788,565,266,012,498,
695,473,785,713,338,635,646,585,394,290,478,171,259,747,505,312,029,407,900,
666,312,326,533,339,108,670,422,064,945,477,437,801,670,922,336,955,381,987,
693,949,734,450,077,007,264,434,153,470,790,763,888,986,390,987,645,585,325,
850,758,247,869,677,684,618,629,392,151,982,739,871,606,931,066,566,012,711,
837,348,161,164,771,793,053,405,052,814,395,539,476,296,873,000,193,857,960,
446,359,697,968,372,144,273,033,050,019,202,737,662,507,674,177,002,624,193,
535,862,263,422,825,105,779,044,074,631,908,911,555,530,423,960,505,714,789,
304,551,940,667,490,004,211,938,138,422,131,699,321,864,177,868,361,855,112,
517,194,462,737,220,417,113,768,205,702,817,511,936,877,492,080,762,805,657,
217,664,802,721,769,555,341,589,636,595,063,549,406,462,811,039,589,646,414,
952,164,705,838,973,356,565,472,188,710,464,738,477,090,123,838,204,254,514,
915,028,643,092,235,161,694,298,871,688,524,482,063,724,127,485,853,310,038,
307,098,169,844,493,949,747,005,413,457,801,686,594,694,314,265,830,531,285,
452,427,626,842,654,613,662,009,792,254,729,870,045,350,576,083,144,306,675,
638,922,414,781,024,313,275,804,391,588,319,804,251,893,510,680,429,790,207,
003,433,900,382,589,766,823,028,823,045,106,729,065,086,202,450,363,486,394,
722,481,618,253,041,972,926,174,109,661,729,981,574,024,252,926,409,850,047,
164,725,363,920,770,047,357,025,906,559,511,376,149,041,847,059,432,606,010,
575,755,528,849,170,238,566,347,495,354,033,756,447,193,282,908,681,560,657,
016,634,565,610,925,725,531,698,336,067,496,569,886,727,358,816,198,506,181,
231,304,524,818,635,230,922,201,434,024,144,158,197,669,357,632,049,611,919,
842,210,489,341,905,505,902,484,431,294,326,165,279,375,728,414,119,816,007,
707,986,675,547,087,742,794,375,511,390,910,378,959,594,348,789,570,181,174,
056,942,683,070,961,779,800,476,147,189,339,103,071,305,301,294,350,632,910,
420,122,633,784,435,228,112,339,112,559,316,516,427,628,836,631,066,241,617,
780,085,443,339,709,775,815,744,179,825,413,460,767,788,477,354,702,704,690,
964,389,141,575,850,871,508,570,170,599,781,511,644,645,535,752,538,893,638,
689,346,991,166,046,553,195,111,895,959,116,286,168,361,733,622,039,752,887,
807,034,701,672,029,809,158,031,438,403,136,842,962,303,710,011,408,046,101,
572,348,602,830,113,260,619,572,182,639,929,258,571,275,143,173,420,566,253,
250,940,604,533,597,126,802,677,566,581,713,445,035,036,107,894,503,276,141,
759,140,693,224,822,569,377,490,549,198,803,623,801,171,963,302,984,461,473,
058,876,691,856,436,701,152,694,858,381,640,494,909,452,450,203,028,486,020,
083,947,938,465,830,889,994,650,890,941,845,398,811,018,603,950,978,529,107,
968,105,240,504,550,473,676,619,297,459,519,350,963,645,546,714,458,398,742,
017,361,603,859,423,022,877,448,341,471,707,823,830,879,448,798,982,557,257,
123,403,795,338,649,865,519,849,096,087,822,237,243,411,590,814,969,934,053,
348,400,419,327,575,882,561,061,741,562,090,128,178,059,492,806,237,045,975,
904,399,479,566,446,267,237,477,486,092,845,570,320,659,581,564,193,568,411,
071,238,293,643,368,583,846,348,175,597,002,169,289,698,714,261,407,886,526,
125,535,441,376,988,074,985,293,726,360,584,152,190,746,551,843,185,090,033,
007,565,670,202,781,282,244,823,598,179,293,860,641,464,066,971,979,328,060,
909,105,105,424,309,751,362,443,508,694,349,958,776,764,921,775,224,409,648,
414,551,601,947,654,217,875,826,313,049,293,193,784,679,034,355,371,195,974,
343,119,348,976,453,929,194,979,157,747,495,275,941,575,416,890,375,873,399,
676,009,001,649,802,129,634,500,605,294,998,059,268,035,074,168,940,516,800,
416,615,513,069,102,613,655,662,220,871,994,886,998,572,469,424,093,271,480,
006,035,468,916,372,198,928,477,971,175,856,443,140,715,461,171,575,010,545,
016,389,600,277,101,442,338,500,603,085,066,619,895,430,518,394,139,135,674,
860,137,752,025,019,316,443,769,719,300,459,462,489,452,922,661,710,525,990,
779,990,969,579,381,872,888,637,783,557,178,482,496,887,443,158,466,027,786,
210,212,092,264,674,160,710,570,026,534,057,189,699,719,700,498,429,844,148,
026,897,615,681,110,872,024,221,402,530,066,050,738,010,595,485,884,892,945,
176,062,260,199,279,251,675,550,464,173,495,325,625,549,503,384,767,999,351,
416,338,062,664,319,070,930,738,913,659,175,572,873,591,194,794,909,135,859,
198,372,092,672,614,514,558,283,136,286,016,126,414,531,506,069,532,316,119,
384,528,289,360,026,873,422,750,005,695,377,829,578,155,965,842,528,969,830,
013,662,531,674,020,922,555,014,179,797,115,891,024,012,167,080,187,295,705,
831,025,798,537,721,105,102,146,526,880,289,404,052,743,992,593,046,861,544,
892,327,443,402,347,964,864,986,285,571,403,119,316,403,796,177,602,165,311,
861,868,495,404,643,484,781,722,420,285,821,417,151,479,350,024,479,274,416,
785,198,674,033,808,338,412,557,446,411,853,315,532,644,122,734,365,207,301,
958,705,864,437,822,682,146,095,308,449,663,359,634,229,831,639,283,270,766,
772,443,281,020,659,581,767,668,315,486,701,421,018,892,977,065,508,195,749,
925,103,373,809,762,274,298,805,872,883,383,922,236,691,286,911,924,521,126,
326,395,437,036,307,311,870,599,138,944,290,588,597,812,007,533,435,504,703,
469,722,609,536,811,081,814,309,291,888,377,135,371,610,691,175,692,428,043,
084,298,812,571,400,786,544,609,310,675,715,545,557,091,331,928,664,219,125,
342,052,069,800,822,915,235,363,881,122,869,450,512,443,915,318,830,817,309,
602,426,535,256,269,690,146,443,554,199,447,291,712,061,789,990,562,975,284,
440,605,587,738,781,792,180,654,673,821,912,964,225,982,037,418,721,222,550,
103,033,128,457,065,128,860,055,449,659,561,207,236,828,444,014,547,441,774,
480,337,423,352,151,272,200,497,330,473,589,844,845,300,092,536,509,153,737,
413,103,032,270,114,022,085,069,925,340,313,677,470,526,111,373,800,266,763,
933,707,340,494,815,183,925,901,321,016,855,287,249,697,293,488,044,846,167,
117,679,351,754,516,227,327,776,754,481,596,970,751,306,473,043,494,616,149,
432,344,532,910,239,504,859,040,059,681,074,609,554,076,852,325,966,412,960,
908,152,299,251,057,373,052,449,108,223,540,738,476,957,340,535,438,329,016,
597,783,530,429,570,137,629,679,006,229,975,666,926,090,699,998,461,359,942,
252,570,997,499,025,823,242,196,485,252,077,716,060,284,612,852,977,226,400,
141,563,514,398,668,672,648,310,818,973,391,001,604,891,190,316,886,843,270,
341,817,790,475,914,842,530,570,839,567,515,746,698,525,714,651,403,211,018,
836,775,427,031,403,938,023,954,305,007,668,773,095,218,991,935,696,271,512,
143,658,850,799,176,959,422,516,032,764,695,181,034,076,871,329,691,881,762,
966,486,154,610,758,147,360,162,300,814,952,682,494,352,163,093,687,078,627,
957,118,257,960,009,568,723,992,048,428,570,887,012,206,478,665,746,088,621,
481,201,964,641,070,651,776,721,450,815,921,120,805,451,131,464,629,516,779,
042,861,278,448,552,176,130,242,417,690,422,323,937,157,952,684,304,479,935,
779,172,963,797,740,840,748,873,380,741,590,597,253,789,192,474,723,909,599,
770,255,498,460,257,814,637,025,985,392,150,902,936,465,443,784,657,293,179,
630,347,647,285,652,775,573,213,058,498,232,123,100,640,611,194,979,153,167,
037,799,228,810,805,102,933,022,811,210,050,758,000,801,186,298,543,999,884,
164,230,157,862,930,351,979,504,972,175,967,796,938,619,886,771,280,818,853,
177,440,520,287,480,277,423,991,956,857,350,675,605,947,614,565,974,879,438,
832,915,006,765,051,629,146,316,267,644,282,033,065,738,974,444,763,993,564,
852,138,908,082,523,045,362,576,220,622,406,038,293,492,352,715,756,107,346,
500,424,931,984,854,519,109,210,420,859,432,960,405,517,830,910,316,385,075,
863,200,180,474,507,747,348,290,246,903,188,630,144,449,786,585,823,270,281,
688,873,655,490,642,244,712,974,795,448,674,216,292,577,179,485,475,690,384,
373,188,444,954,697,284,511,979,779,920,773,059,257,661,542,724,116,664,856,
416,828,826,711,890,156,708,664,183,291,781,752,241,875,824,182,435,219,366,
160,033,941,018,078,992,584,098,728,229,827,381,308,147,763,241,626,312,114,
110,525,785,456,275,144,453,693,393,638,315,182,285,735,467,865,657,507,580,
079,275,156,185,325,551,718,205,477,868,361,288,689,916,061,898,892,994,838,
534,620,052,603,881,656,660,032,420,514,634,314,667,303,020,344,114,381,721,
452,684,567,539,556,150,851,368,526,267,749,764,832,935,242,009,970,136,064,
414,666,984,821,804,311,299,725,697,453,827,134,600,727,468,740,406,695,537,
627,855,575,311,336,166,707,982,837,196,418,500,570,447,499,221,530,302,092,
632,714,149,990,140,601,744,302,905,810,456,377,233,702,221,424,163,422,358,
955,758,925,829,644,684,671,300,786,570,618,724,953,773,375,225,146,165,194,
649,467,881,614,820,491,384,637,999,729,322,044,923,315,354,027,742,719,819,
699,072,865,138,504,219,794,844,076,669,453,419,447,230,184,704,937,513,712,
426,052,229,996,372,478,583,853,068,456,145,964,743,995,978,934,023,621,977,
266,082,322,681,250,182,323,397,970,623,362,473,292,254,396,898,764,194,324,
354,142,541,327,461,666,046,396,601,619,760,599,369,707,610,015,269,792,273,
434,215,223,225,685,562,623,838,467,514,494,412,195,633,108,078,724,447,879,
902,982,527,088,445,912,272,129,561,295,750,452,938,119,912,838,182,747,265,
737,167,995,500,299,568,770,130,619,758,885,712,982,034,960,530,042,834,223,
890,192,433,896,029,113,207,763,483,469,794,518,400,455,121,786,354,189,258,
504,371,719,602,004,442,997,500,962,095,433,782,424,332,512,103,817,726,399,
782,995,391,110,896,743,095,861,465,333,105,714,549,209,632,647,220,666,997,
923,020,226,905,563,683,687,829,722,023,949,655,691,157,848,909,706,974,939,
390,275,313,274,220,155,108,707,944,798,394,926,765,485,504,041,128,806,654,
981,280,659,024,371,634,597,815,276,498,474,485,422,650,368,570,269,439,736,
471,789,301,471,896,379,974,503,451,669,496,897,206,039,667,769,851,718,512,
008,073,088,305,004,396,877,971,722,067,637,592,545,058,395,862,745,232,180,
951,498,399,814,366,357,241,815,987,621,460,469,302,798,138,151,258,159,486,
577,716,815,212,388,186,237,899,578,020,710,252,895,447,015,748,922,925,432,
586,634,995,233,753,001,637,068,633,753,446,273,524,434,610,930,626,532,257,
978,697,637,184,897,094,398,059,527,608,751,962,066,205,174,084,021,273,274,
828,089,261,222,726,960,300,918,142,774,172,115,116,697,308,234,581,404,160,
667,868,951,383,113,608,796,052,314,720,872,663,108,078,194,915,614,800,633,
972,535,185,171,101,290,734,246,274,861,243,898,410,033,861,169,698,131,924,
449,147,078,396,227,523,809,363,312,951,502,938,305,939,574,294,265,797,036,
237,729,215,149,206,993,804,603,731,716,305,525,210,176,119,298,306,628,653,
647,602,765,896,134,503,064,927,796,156,117,669,456,672,402,980,845,709,366,
546,381,407,073,660,854,347,235,058,831,603,126,129,722,192,808,650,857,155,
033,442,679,787,464,978,134,810,928,307,396,903,552,537,583,606,030,216,734,
144,776,087,559,159,241,723,806,020,872,432,030,392,243,236,372,176,968,575,
411,224,506,466,013,267,027,187,904,722,643,488,027,048,615,538,272,063,568,
065,058,173,264,880,910,194,870,506,747,769,758,844,707,312,099,328,289,617,
577,285,904,105,167,138,054,915,445,717,740,067,952,496,011,151,091,946,475,
227,021,175,067,795,942,520,919,657,392,150,627,988,316,385,712,507,039,411,
492,941,974,861,442,593,818,366,245,966,082,550,900,007,632,541,216,349,208,
844,060,574,364,998,401,335,102,418,142,076,863,817,344,102,897,041,811,322,
814,871,247,840,030,850,438,698,805,399,753,841,903,054,433,392,676,707,591,
350,259,971,697,493,081,290,321,903,236,980,493,827,580,484,527,086,005,079,
269,277,924,145,191,108,218,118,259,683,793,429,915,569,422,802,216,480,201,
675,076,567,315,118,960,014,802,349,753,739,092,172,011,462,378,565,780,523,
471,651,293,260,504,638,960,358,779,693,631,434,729,833,261,291,293,838,578,
406,148,137,063,161,687,658,441,313,958,829,576,957,971,912,496,382,265,653,
995,685,969,666,301,141,366,435,926,741,821,314,657,655,637,866,543,006,526,
052,165,134,586,006,190,943,195,818,258,412,630,462,546,283,554,625,216,466,
060,901,799,894,284,018,291,372,332,874,279,299,217,890,228,251,365,073,885,
939,511,113,955,646,715,422,450,406,956,318,402,692,683,966,042,585,214,695,
104,130,622,086,822,407,506,182,396,038,932,757,787,763,510,389,693,823,287,
236,256,587,991,554,094,261,839,010,023,587,353,703,797,238,293,022,329,722,
350,530,099,458,082,195,477,063,725,987,362,539,338,348,283,281,959,172,934,
777,197,744,643,195,487,810,602,627,762,668,113,054,916,814,000,320,593,029,
649,091,549,029,919,526,266,752,385,465,499,971,082,378,917,620,431,210,266,
641,601,001,323,451,527,605,630,772,054,014,832,853,123,004,270,944,085,377,
450,925,495,685,227,914,891,737,888,369,459,688,875,172,770,520,880,254,660,
368,337,459,634,866,290,478,796,754,741,511,039,019,516,558,565,400,829,970,
523,782,809,537,582,602,553,147,104,976,239,829,443,981,089,503,374,751,238,
277,032,323,233,377,434,852,700,316,347,229,192,853,964,742,258,642,713,639,
364,087,662,921,567,935,569,840,125,322,987,176,155,056,263,454,692,684,839,
633,139,980,945,839,330,734,418,823,112,240,519,942,779,372,207,714,141,346,
526,214,187,059,753,427,703,842,786,657,095,978,474,696,082,172,065,008,789,
821,977,005,511,899,129,848,194,458,081,358,646,083,684,835,527,004,018,695,
563,647,113,559,548,801,807,774,925,670,762,442,322,461,871,566,795,548,785,
224,574,203,190,333,788,661,870,082,333,764,455,475,507,123,947,322,319,636,
587,691,696,195,355,561,863,057,236,513,050,941,173,735,962,884,108,186,855,
211,624,322,581,929,905,861,670,783,506,471,850,446,405,565,817,445,893,241,
510,519,069,367,649,028,510,597,521,176,950,668,385,355,701,956,746,954,983,
196,892,611,728,112,651,050,072,298,831,705,073,345,609,155,855,582,235,831,
528,255,994,690,205,628,992,052,208,740,387,214,591,648,036,380,145,225,893,
078,973,719,626,040,509,662,147,388,845,398,706,949,986,968,471,529,758,538,
303,413,498,103,421,994,828,587,791,616,327,199,099,828,616,491,973,353,056,
931,880,143,280,005,058,761,640,793,865,493,327,294,612,565,290,020,510,276,
780,446,772,546,537,578,245,094,575,658,766,945,141,844,054,855,090,838,906,
619,162,370,247,030,506,779,975,617,497,903,774,790,283,079,861,257,632,529,
288,358,697,646,097,240,591,275,473,331,563,740,146,661,571,955,708,902,856,
733,360,730,703,861,882,718,978,581,854,781,363,190,971,107,084,544,537,700,
245,002,262,795,467,033,852,644,457,515,585,854,523,071,702,177,628,566,710,
577,307,604,750,426,131,561,129,410,803,583,052,540,315,827,275,908,538,363,
804,054,184,891,089,458,696,759,389,838,858,273,192,042,135,820,359,699,262,
068,541,368,243,665,593,203,136,433,602,628,272,626,987,474,296,018,080,868,
264,632,270,037,490,148,272,380,877,335,216,253,260,306,605,357,009,968,546,
976,227,917,042,622,307,902,882,573,564,910,990,286,165,561,604,347,190,123,
882,613,362,135,567,533,608,933,002,694,565,547,323,341,465,597,442,489,151,
045,131,813,649,329,169,633,189,123,250,162,351,195,217,924,678,645,088,101,
715,887,472,603,387,461,785,005,957,336,738,377,096,538,690,024,182,951,926,
024,696,542,249,900,371,608,274,349,732,413,335,134,821,291,569,285,005,656,
112,178,914,753,749,549,731,389,270,642,945,934,119,554,040,415,916,563,893,
310,989,162,708,788,045,419,197,751,416,379,641,676,832,182,155,082,907,608,
489,184,889,700,903,427,628,218,295,891,826,017,005,446,870,082,132,475,976,
589,740,941,629,572,091,693,734,579,695,152,525,770,388,633,659,297,582,099,
877,106,940,529,814,649,912,116,086,891,915,892,248,779,701,543,437,552,273,
540,513,312,212,531,810,450,958,689,650,192,499,361,664,259,584,768,996,873,
959,476,244,448,171,506,146,455,259,539,293,550,686,223,040,681,478,214,223,
192,563,189,621,681,245,521,356,860,410,232,320,279,335,213,621,611,847,261,
584,944,656,716,915,200,850,028,191,560,426,255,064,778,677,990,894,820,104,
891,364,747,454,043,734,835,209,071,777,736,738,866,022,030,627,191,118,226,
125,035,599,801,645,322,253,162,724,981,382,688,203,984,356,292,878,727,296,
528,348,744,553,705,038,678,834,073,210,898,961,661,730,177,044,402,666,258,
789,675,927,895,647,443,228,962,072,668,332,713,700,868,307,508,489,087,129,
847,384,511,159,737,475,737,362,640,523,605,812,323,165,996,014,538,313,780,
097,726,475,343,576,382,578,942,508,520,838,546,920,232,463,213,329,849,332,
517,210,637,936,037,541,599,160,292,488,062,457,829,194,386,436,340,177,029,
255,598,453,119,776,062,780,960,683,687,285,482,375,618,727,074,872,094,448,
929,375,448,038,332,273,301,060,448,043,249,458,675,363,745,880,248,740,520,
732,073,321,106,598,897,909,688,510,418,287,322,688,060,489,107,450,261,979,
492,694,477,649,884,844,478,636,296,716,748,746,834,695,744,653,458,534,969,
068,879,187,537,129,014,115,698,548,602,029,734,639,508,574,102,312,167,490,
365,019,273,680,755,348,474,185,537,924,654,768,841,141,090,124,658,815,146,
825,592,668,706,502,816,802,031,508,619,935,308,335,119,945,424,312,253,252,
848,582,057,260,959,651,287,872,926,406,485,980,046,855,904,205,715,042,897,
967,160,813,202,562,055,142,190,433,392,484,959,626,244,944,639,987,456,576,
292,443,687,227,517,644,390,696,265,988,653,880,190,190,789,253,220,064,393,
100,952,313,406,847,830,810,865,457,714,672,033,024,748,446,858,468,265,913,
784,760,285,873,741,903,322,339,964,979,981,124,064,886,818,422,412,117,483,
843,115,678,816,871,518,434,064,187,206,809,469,177,448,616,065,934,408,382,
612,539,263,785,926,786,846,768,406,104,027,406,445,579,589,537,192,634,066,
487,771,184,490,289,808,050,632,506,333,925,530,780,703,423,531,550,270,396,
998,593,759,017,011,645,192,725,201,452,701,148,060,323,600,259,164,136,260,
583,457,553,493,202,102,972,949,597,069,044,443,907,987,924,129,527,292,982,
765,507,501,224,697,719,883,667,227,377,460,563,548,004,211,523,298,505,571,
784,074,590,021,898,236,239,747,664,960,380,984,644,762,057,577,167,063,532,
255,161,697,120,098,600,804,552,743,222,743,864,862,369,345,953,479,082,539,
145,286,366,368,690,867,065,555,473,497,770,569,312,531,051,147,541,573,305,
255,905,893,611,415,975,441,100,808,480,465,308,219,544,413,751,850,858,018,
873,838,174,136,474,109,810,195,873,383,950,114,127,553,734,802,875,049,587,
286,951,353,721,130,903,397,893,694,898,429,265,245,964,856,896,121,295,039,
899,520,358,025,917,962,550,934,882,835,016,993,993,614,006,916,583,641,189,
869,511,540,936,255,400,827,483,969,345,848,431,977,968,555,608,354,555,427,
817,875,559,177,429,521,747,160,581,417,243,684,433,634,825,397,437,157,836,
094,203,512,740,110,558,500,977,771,947,899,521,213,791,712,310,354,087,386,
726,920,414,546,478,566,873,904,891,624,465,851,543,039,486,835,643,490,745,
083,107,325,066,037,247,814,167,462,370,244,428,486,100,980,614,757,186,895,
973,209,889,018,591,325,027,170,392,236,588,817,106,425,040,095,722,291,593,
444,300,783,482,391,382,771,180,947,003,194,751,625,981,870,523,262,014,607,
686,151,836,608,051,449,339,777,343,241,727,056,837,239,504,583,121,404,295,
612,085,118,801,859,855,178,421,883,674,343,681,854,515,426,513,001,395,309,
776,577,770,915,428,054,574,339,211,057,466,842,584,610,986,270,702,852,645,
464,869,115,317,116,712,543,801,595,474,939,033,944,973,865,738,580,554,609,
688,840,197,266,017,194,021,716,471,940,808,204,680,070,807,666,957,603,470,
156,350,474,164,343,539,712,167,931,696,251,584,208,271,181,494,508,161,008,
491,007,481,883,732,319,086,794,005,193,470,153,687,881,306,062,426,689,958,
480,957,914,358,727,195,140,617,193,835,183,747,853,861,817,647,313,985,106,
365,152,759,193,271,333,670,611,162,949,347,167,907,383,096,260,954,829,399,
977,648,490,733,567,851,894,218,259,848,753,681,170,244,146,750,670,777,580,
971,771,818,291,465,869,084,608,185,960,004,075,983,722,185,149,629,987,188,
411,770,736,473,615,964,270,282,402,554,869,298,906,510,655,430,235,697,400,
108,045,003,821,807,619,062,482,806,450,698,015,692,351,585,637,442,566,012,
342,421,942,739,179,288,636,791,802,675,888,077,385,627,604,650,104,532,782,
391,619,491,660,919,049,640,226,202,177,454,959,873,060,869,134,240,399,099,
913,994,057,734,033,127,365,350,918,356,943,793,444,323,012,271,974,482,037,
727,783,388,088,567,757,499,789,417,849,889,576,141,850,327,278,122,899,774,
812,365,682,401,717,253,147,674,924,179,531,006,682,479,885,053,942,316,205,
580,031,077,619,669,400,254,083,390,737,644,993,640,137,659,713,615,470,783,
249,393,258,555,052,422,429,493,564,447,181,039,815,902,165,777,978,190,977,
645,735,914,387,515,333,195,962,767,399,378,179,224,159,924,123,093,617,011,
458,588,987,892,994,421,877,320,841,778,399,362,478,428,227,217,364,766,005,
385,044,359,715,123,451,825,495,671,925,882,612,618,471,663,753,122,919,015,
466,296,027,974,263,499,224,062,410,258,842,712,664,313,384,937,945,249,853,
195,325,195,044,494,770,168,140,397,025,783,580,874,402,799,711,349,539,355,
352,703,042,995,072,699,843,272,315,269,127,529,587,405,505,691,914,892,442,
407,558,752,936,751,241,955,929,148,624,479,438,678,910,894,817,510,971,644,
572,001,224,006,203,221,744,123,229,068,472,302,731,045,905,029,999,171,806,
802,429,290,290,002,161,262,188,873,422,970,712,851,988,420,279,881,963,085,
043,481,437,396,701,382,702,140,949,560,160,451,528,034,994,350,718,137,649,
016,554,046,606,378,621,583,685,749,296,809,222,515,840,380,317,282,414,927,
060,214,780,852,540,582,753,907,674,790,944,849,722,316,662,031,547,590,366,
385,726,041,817,502,761,012,992,876,401,991,278,847,677,577,309,971,703,875,
982,761,616,100,715,857,332,299,375,057,319,920,669,540,325,490,613,140,419,
816,897,141,703,550,327,488,661,658,390,574,737,226,834,549,994,483,676,683,
680,966,748,164,690,919,952,639,716,838,560,764,264,326,307,699,033,451,500,
198,301,602,144,703,171,110,657,185,389,955,770,308,916,831,277,126,531,961,
087,374,316,502,837,387,600,591,198,024,975,489,609,609,504,985,044,807,979,
125,107,427,101,866,405,914,397,671,405,984,424,395,385,751,596,609,190,282,
329,140,391,631,740,768,438,656,814,311,057,323,696,365,830,428,821,932,194,
582,946,224,911,174,549,765,670,092,260,726,456,572,007,340,985,171,233,801,
615,832,369,335,812,531,408,352,431,113,110,267,305,312,117,079,860,692,231,
451,468,427,007,762,553,379,151,931,983,338,942,551,532,977,525,426,470,399,
949,758,487,386,026,179,512,199,019,191,066,306,818,279,370,393,567,703,432,
221,599,355,272,781,610,859,032,336,066,716,387,901,047,587,965,648,648,760,
987,971,370,311,596,048,321,947,670,796,788,046,378,584,273,935,936,421,005,
833,167,452,181,485,050,768,672,048,313,093,745,230,185,696,106,557,862,674,
811,178,705,713,202,345,854,010,844,180,008,758,088,594,949,029,873,567,962,
548,435,078,355,762,717,106,153,576,401,020,827,940,067,556,762,874,333,372,
879,335,093,188,379,042,449,120,762,670,123,058,851,411,992,109,573,246,077,
332,229,235,652,184,233,708,074,609,094,779,021,304,875,229,493,604,486,324,
313,014,761,131,761,410,134,256,767,503,078,707,116,710,864,838,306,363,814,
355,650,053,085,310,803,182,582,414,926,197,497,842,584,600,581,499,232,961,
676,095,936,219,698,572,463,392,328,329,061,415,688,815,519,103,724,028,098,
339,429,298,610,731,848,334,178,611,431,284,048,488,691,566,874,946,574,105,
669,073,820,498,991,122,356,459,938,486,465,648,159,440,699,087,226,398,732,
898,762,756,829,913,122,641,579,458,000,038,849,803,820,281,570,082,790,997,
038,092,718,575,451,133,480,886,427,552,960,230,903,080,484,708,854,835,313,
062,910,197,905,296,250,731,914,040,943,871,712,466,691,130,165,669,640,438,
857,621,006,354,033,743,515,429,932,932,635,522,012,715,962,146,521,618,364,
347,640,501,138,905,056,515,212,616,757,642,900,313,024,278,552,538,090,264,
981,603,398,857,570,439,800,323,122,929,673,160,311,851,550,941,995,656,615,
684,160,721,423,908,295,056,697,800,474,429,270,804,373,918,474,242,482,461,
312,219,212,263,293,936,113,724,211,711,484,403,917,903,754,786,179,583,257,
963,295,351,741,889,966,556,539,771,199,044,234,440,278,313,525,917,512,654,
237,804,665,314,680,642,167,759,081,340,816,542,564,165,719,382,991,612,156,
220,933,614,668,284,777,200,867,035,997,919,835,970,092,316,018,062,805,447,
679,380,134,855,716,478,291,426,184,147,013,341,371,093,959,245,002,278,269,
333,820,148,106,767,259,765,807,374,960,891,857,607,334,593,119,500,360,262,
746,612,266,097,564,525,743,387,545,476,174,997,585,152,755,022,417,227,081,
780,060,406,304,293,281,350,224,515,503,384,292,701,411,711,741,640,222,979,
673,411,339,009,242,684,648,505,054,971,928,674,055,226,110,354,587,783,680,
967,555,048,374,688,989,147,290,301,968,921,815,204,291,524,696,726,053,834,
798,849,464,603,016,578,163,234,957,480,456,352,827,283,333,429,230,076,619,
484,218,901,231,040,520,137,081,072,278,177,344,717,210,074,770,855,097,723,
199,527,448,602,107,321,103,108,535,705,908,375,121,622,393,015,772,420,541,
842,519,471,732,358,477,292,103,046,950,559,070,103,932,359,113,107,979,357,
209,757,128,948,273,093,295,861,913,771,162,998,919,932,174,329,517,542,952,
522,062,772,488,185,998,011,268,762,068,861,862,420,008,372,276,627,024,115,
315,214,395,225,682,180,167,746,434,835,682,193,172,919,804,334,176,574,767,
647,491,883,622,439,746,761,711,432,452,859,223,642,135,367,986,670,831,778,
103,993,111,818,300,619,918,687,912,581,385,006,689,616,460,769,171,557,066,
121,057,148,190,731,415,888,743,382,852,946,829,511,123,488,804,416,455,136,
138,407,585,808,843,313,901,036,305,113,717,646,198,923,149,125,601,402,241,
813,423,736,766,079,281,434,402,556,220,684,563,861,335,791,389,288,824,529,
954,334,198,860,557,593,043,665,870,552,329,855,423,154,602,345,920,935,862,
861,240,701,435,231,482,199,059,717,457,771,800,611,294,818,662,960,121,738,
999,612,955,725,636,018,686,971,721,403,678,416,992,849,122,728,324,922,733,
661,602,059,831,367,577,534,536,081,353,290,312,375,493,332,722,771,787,658,
484,001,407,661,650,422,783,652,730,777,283,185,242,312,241,555,031,407,959,
445,684,954,916,203,825,074,248,714,715,692,887,815,973,376,577,317,122,218,
995,625,415,042,872,984,899,520,896,457,290,927,753,998,692,517,915,973,733,
014,119,907,020,720,586,513,214,605,783,605,482,326,719,059,371,511,709,340,
089,827,266,493,675,377,238,670,700,180,646,144,453,436,191,565,725,535,023,
828,833,153,600,733,015,115,572,955,478,888,139,955,154,531,261,704,466,352,
819,446,155,938,702,791,591,888,732,208,867,959,992,592,335,673,677,047,438,
269,318,427,279,694,097,798,359,254,503,250,296,505,745,609,410,745,520,449,
638,459,182,144,333,263,112,720,425,805,456,312,808,380,416,426,623,467,325,
119,722,773,696,077,467,835,993,582,677,245,951,992,080,935,816,768,539,711,
729,244,547,314,789,986,589,014,354,176,606,157,181,436,018,586,390,337,680,
175,694,325,412,995,995,718,173,642,689,806,362,424,872,640,542,202,521,361,
053,721,928,715,616,283,282,920,944,237,140,149,002,159,102,486,444,282,232,
128,721,760,443,215,720,629,362,100,805,734,725,111,015,185,747,112,691,040,
890,356,400,770,092,316,827,587,708,820,898,587,404,809,012,743,641,982,580,
109,576,793,324,406,809,221,983,425,458,102,715,658,196,789,415,811,515,646,
088,858,934,285,850,915,398,854,525,236,539,720,396,028,833,812,972,239,223,
209,503,738,392,141,192,856,717,989,378,020,794,672,043,105,724,890,281,624,
651,010,627,745,252,209,246,748,114,916,773,521,679,115,691,984,003,944,120,
353,442,237,743,235,018,847,051,417,873,874,000,107,499,660,673,819,954,355,
911,022,443,218,908,377,305,192,625,977,752,452,134,206,243,641,779,527,145,
025,549,984,753,312,938,788,956,684,671,562,236,221,339,988,740,886,802,295,
326,286,741,459,155,019,509,780,666,187,216,637,367,413,992,420,047,836,893,
826,890,849,647,024,241,077,599,421,787,026,865,070,788,148,154,399,304,457,
071,826,931,462,598,619,877,095,065,696,769,929,487,552,483,398,351,504,558,
227,329,714,079,994,892,358,011,376,377,787,931,016,534,386,826,108,356,402,
052,397,199,203,623,952,524,864,226,227,398,005,152,086,087,355,101,440,963,
522,347,742,249,127,785,411,273,265,558,550,860,898,568,249,056,750,031,079,
274,199,974,296,913,368,860,635,296,795,663,104,592,469,541,114,708,560,840,
183,184,620,288,115,964,304,655,276,555,126,500,900,783,292,028,306,996,301,
852,357,344,281,128,983,278,960,678,032,370,781,987,495,284,357,478,244,440,
951,336,257,705,228,976,840,444,963,448,787,292,410,787,099,074,650,921,285,
878,746,713,608,597,868,390,365,309,741,294,167,640,098,620,639,154,420,874,
020,776,072,630,947,299,372,967,813,987,341,333,448,868,205,917,818,549,753,
560,468,029,668,138,667,804,634,244,882,570,088,878,376,805,828,686,529,286,
596,336,337,829,597,792,888,697,458,492,414,416,609,787,783,308,609,449,193,
519,828,445,031,804,632,334,991,984,217,095,501,559,081,767,521,610,530,567,
914,528,581,775,607,362,029,428,634,369,390,409,293,236,007,325,031,413,886,
286,012,568,110,853,758,674,603,725,090,105,554,117,096,253,261,250,823,725,
087,729,412,773,768,434,849,824,493,923,044,383,782,127,395,902,477,764,712,
047,250,593,223,839,080,467,900,087,475,047,837,326,964,838,249,135,658,902,
648,831,022,900,258,967,418,967,764,253,503,688,946,578,933,557,869,603,286,
924,803,237,907,819,090,059,244,587,325,638,699,424,369,051,890,812,375,387,
453,597,875,858,593,868,216,356,703,323,308,707,010,336,968,862,513,728,164,
029,284,928,636,369,296,825,751,360,684,261,201,745,985,266,363,775,194,323,
130,075,595,924,884,535,667,615,428,134,656,525,396,551,559,859,317,940,131,
501,040,700,597,031,573,420,643,675,320,668,054,932,637,825,953,210,869,405,
284,985,173,794,452,797,357,191,992,930,691,214,793,816,497,054,693,633,277,
980,751,061,255,676,755,784,883,425,752,331,866,233,996,846,055,758,246,801,
621,216,527,969,512,811,881,794,892,471,710,892,851,320,958,780,390,276,895,
772,906,166,308,458,140,740,938,867,658,912,649,823,720,914,989,335,711,678,
708,853,540,260,755,785,111,736,772,249,004,027,964,767,746,809,502,338,715,
803,318,307,464,196,856,608,964,008,326,085,518,352,337,838,010,010,836,582,
862,128,197,990,063,270,237,837,190,431,354,768,350,353,419,374,326,492,154,
289,546,714,595,554,930,670,008,029,671,510,795,431,012,663,254,571,242,055,
484,197,825,598,504,941,448,079,794,161,403,493,832,126,830,373,643,072,538,
004,028,745,767,657,013,203,008,136,208,033,285,666,916,058,083,819,997,918,
436,356,261,574,785,934,251,311,342,885,991,423,262,693,340,952,075,599,934,
409,136,303,748,649,610,169,109,953,510,462,615,244,949,108,422,142,506,917,
815,494,224,257,603,349,573,860,794,062,696,556,857,862,390,892,924,308,948,
476,547,398,829,246,379,145,653,760,498,010,076,512,382,981,548,630,677,351,
882,093,321,561,543,065,241,492,564,309,998,732,120,172,068,473,472,721,037,
021,984,005,720,896,823,725,151,729,916,200,905,480,092,573,046,370,262,174,
960,689,740,909,954,967,676,202,752,519,909,384,423,227,452,535,246,312,065,
831,757,096,729,272,694,741,932,682,013,785,213,788,087,892,065,382,660,542,
098,767,399,321,100,726,705,232,230,099,570,408,172,777,660,391,284,011,149,
276,352,242,508,660,537,657,350,859,741,518,090,945,610,525,367,706,475,183,
708,820,185,202,225,174,384,597,886,878,897,611,250,759,586,626,584,915,669,
574,267,790,116,509,985,465,837,437,854,041,242,660,812,992,092,609,446,970,
220,469,629,295,456,875,749,853,461,888,263,268,988,496,626,520,944,585,896,
741,536,315,884,973,113,392,784,554,924,076,081,345,606,604,983,521,105,478,
230,829,036,047,419,028,663,581,484,241,205,973,212,965,408,962,600,679,939,
470,891,172,592,467,758,859,172,698,925,602,474,956,834,097,035,999,620,628,
600,523,342,467,298,717,254,114,902,142,054,252,897,755,181,915,274,858,054,
783,221,752,922,110,914,786,034,353,468,275,458,882,055,386,784,530,465,771,
848,601,691,473,420,953,625,325,459,766,311,339,506,956,718,678,894,708,690,
357,502,662,713,348,022,711,470,613,227,521,739,960,663,161,157,538,279,047,
416,782,396,444,015,844,829,281,449,159,899,079,923,230,501,370,641,068,839,
105,881,013,348,971,104,327,468,929,412,189,604,292,145,998,579,990,507,197,
096,160,487,225,149,045,945,384,247,089,641,063,105,294,554,267,566,335,472,
165,986,951,186,078,352,505,827,094,724,547,346,714,523,681,580,678,016,905,
963,789,211,156,976,463,513,252,243,309,141,280,499,220,374,532,931,714,117,
211,427,579,443,525,933,542,923,005,566,171,831,838,396,776,285,751,496,617,
365,276,399,259,390,868,487,049,687,680,693,306,767,224,325,427,990,492,125,
510,714,274,508,116,012,991,805,784,786,870,886,987,034,399,745,079,289,907,
397,457,793,763,309,486,978,059,150,203,305,133,288,478,211,410,604,270,136,
080,249,768,513,009,904,884,480,011,275,420,290,666,519,575,570,239,528,242,
226,417,896,197,729,013,225,713,966,911,838,599,936,248,878,005,180,893,009,
610,471,252,759,206,881,703,129,959,242,161,954,165,839,166,396,835,000,129,
963,988,613,905,596,416,082,846,755,822,182,363,276,772,047,198,255,069,102,
090,307,747,846,532,272,364,457,477,473,802,931,954,713,524,809,188,871,362,
140,076,760,107,482,400,682,046,449,813,485,724,840,158,411,663,358,865,258,
861,575,702,480,235,156,902,842,804,028,239,977,812,738,152,575,052,222,000,
366,190,242,683,255,400,147,098,487,642,473,944,255,392,213,247,424,469,954,
944,842,632,392,355,214,358,972,826,234,864,481,643,024,113,769,932,182,520,
822,914,942,350,168,772,820,246,796,647,884,322,741,880,535,698,467,812,031,
049,892,771,689,261,264,768,749,942,262,437,095,817,982,736,420,141,420,417,
507,553,880,649,682,327,152,761,144,455,080,524,209,325,232,910,917,558,777,
306,123,472,644,349,809,178,812,980,097,717,774,562,277,903,671,769,110,012,
325,754,755,702,055,420,458,821,640,889,634,628,931,104,620,251,792,309,932,
139,115,371,571,570,901,489,171,505,658,245,416,567,886,375,269,779,049,507,
943,147,838,712,557,549,426,715,468,390,494,804,884,311,221,147,262,777,117,
497,938,800,162,665,593,255,646,403,150,712,668,541,768,102,663,470,201,558,
793,283,086,297,885,651,896,982,091,335,461,006,876,065,480,121,437,295,929,
413,314,853,976,297,388,469,435,944,511,939,959,317,350,882,183,474,490,992,
379,166,844,072,843,035,484,762,077,854,041,177,740,324,486,381,884,741,246,
569,841,355,194,155,584,838,371,107,683,777,970,293,862,403,100,358,198,288,
583,556,494,995,012,461,570,916,682,880,584,972,447,875,351,525,334,722,403,
405,515,033,756,803,611,976,903,317,146,494,689,478,900,153,128,141,942,956,
850,411,996,560,358,750,741,271,186,234,440,287,361,081,306,004,705,491,936,
437,091,417,105,682,072,596,859,302,985,413,938,610,045,987,285,899,182,524,
153,249,111,970,004,479,557,654,759,916,298,393,540,557,942,515,731,138,919,
571,908,165,671,027,965,463,549,552,659,337,123,737,319,337,897,401,227,157,
779,943,708,068,070,173,312,191,636,408,838,024,460,831,681,536,663,625,612,
217,499,986,133,798,287,461,582,728,076,869,672,317,897,567,199,685,061,644,
726,661,154,209,578,989,345,736,545,684,558,631,399,137,049,104,015,991,835,
060,010,072,813,732,824,296,320,268,232,608,668,304,565,539,080,073,080,454,
381,313,696,751,125,891,403,410,568,616,515,000,686,757,161,988,798,357,937,
299,224,564,738,019,883,381,843,010,982,322,443,830,221,723,601,526,244,712,
014,192,673,633,024,038,232,074,781,542,761,493,597,737,102,126,298,226,722,
462,947,919,916,040,820,558,048,706,753,331,498,242,472,945,073,510,416,361,
787,598,511,479,858,683,361,105,503,539,737,009,144,500,884,098,029,428,924,
754,239,300,089,035,470,982,316,097,746,368,216,810,403,874,665,612,282,519,
376,287,139,226,373,625,616,836,755,811,554,744,673,913,194,314,076,219,541,
208,160,112,895,403,185,494,049,572,834,202,850,034,430,547,859,673,700,945,
116,148,326,477,831,336,780,822,831,555,581,854,750,019,536,692,794,768,811,
392,274,209,198,363,079,840,707,983,103,855,206,760,325,420,780,984,172,249,
351,185,160,319,683,193,854,110,831,362,137,763,979,383,679,071,335,359,463,
256,660,354,170,146,254,193,805,083,309,614,578,996,866,872,144,000,351,947,
813,578,687,884,366,446,687,886,452,074,173,971,008,882,418,342,159,067,274,
828,523,474,130,113,199,309,846,335,304,437,586,226,242,986,072,599,511,671,
449,138,950,119,898,356,002,697,025,832,295,434,062,238,428,246,652,525,248,
895,594,111,209,576,031,953,918,213,557,731,104,425,927,031,732,922,742,036,
563,399,156,702,644,345,340,551,122,492,406,872,859,788,478,116,365,696,165,
047,440,582,789,125,876,759,607,972,479,473,412,931,897,946,055,389,220,729,
818,578,917,048,513,252,354,246,745,663,023,929,499,761,167,265,421,230,619,
248,873,818,329,851,387,960,949,193,445,315,551,284,383,140,737,031,571,803,
457,189,678,582,279,263,899,758,615,405,631,191,362,132,625,539,330,927,751,
240,748,409,309,912,898,297,505,888,853,347,603,909,619,441,985,209,929,946,
662,811,643,166,167,400,229,487,788,524,958,322,067,527,528,703,663,123,403,
095,002,429,351,736,755,988,884,769,791,678,876,770,194,118,203,641,565,517,
921,177,528,987,791,543,675,238,009,083,367,142,290,912,972,870,924,455,604,
882,101,581,981,069,193,064,709,672,590,004,934,583,121,205,700,453,242,495,
157,525,261,586,880,998,013,062,142,061,226,591,342,762,146,100,905,982,834,
405,867,867,243,116,477,492,554,047,581,039,568,312,744,247,255,666,966,453,
328,259,069,221,965,425,403,359,652,128,895,478,217,478,703,663,848,561,758,
536,837,127,579,121,085,127,221,469,978,159,748,992,664,411,923,409,544,693,
544,422,439,594,237,448,944,534,668,514,927,192,671,385,818,270,122,631,566,
558,802,135,830,350,301,893,398,605,600,401,498,179,424,028,804,364,572,030,
149,899,288,196,348,543,528,717,021,697,712,034,954,810,678,525,715,147,093,
669,129,985,687,854,493,886,337,831,352,515,614,392,912,649,208,299,189,520,
341,369,903,419,529,462,668,853,533,032,519,563,447,155,883,129,536,701,017,
805,212,215,900,446,596,559,681,454,201,409,386,251,005,718,437,618,374,350,
495,971,994,059,817,101,336,689,126,202,896,390,645,546,710,543,346,500,661,
430,013,509,493,463,021,855,025,972,400,311,318,877,225,043,205,740,747,787,
648,801,378,395,309,253,424,932,755,321,275,177,283,556,582,073,822,159,004,
309,315,173,142,616,991,278,748,707,781,368,501,274,746,809,286,646,912,422,
754,244,386,171,360,566,249,976,112,473,804,868,616,976,870,590,705,195,934,
969,131,718,046,771,645,852,639,313,763,893,361,253,643,422,129,903,377,755,
265,060,828,459,848,979,714,033,680,625,486,109,031,361,482,073,257,703,649,
964,202,290,352,644,454,200,697,550,891,172,021,481,658,463,942,469,604,098,
730,796,137,117,440,981,786,203,026,769,393,991,480,190,892,893,948,499,375,
075,779,832,246,476,350,177,376,566,928,574,755,868,397,256,441,669,782,571,
803,503,066,925,915,786,441,467,247,040,416,500,141,154,972,281,712,305,714,
428,151,162,952,594,668,158,627,430,065,995,145,472,142,670,550,279,706,247,
180,274,262,845,997,440,766,103,844,691,968,018,787,614,851,437,401,687,675,
266,130,292,719,890,899,014,049,978,418,363,933,403,953,618,666,875,545,409,
947,807,413,529,115,143,584,946,181,001,899,566,907,871,026,272,000,799,348,
381,108,328,207,763,035,371,758,720,759,076,659,899,647,472,274,875,693,369,
324,814,999,481,923,099,790,038,066,968,984,612,240,798,115,042,358,363,191,
547,888,972,320,296,219,602,087,754,948,666,742,370,534,159,064,415,141,221,
387,203,563,799,996,368,704,283,757,008,595,164,561,965,075,211,067,229,829,
578,182,587,917,704,207,258,573,298,076,212,036,297,695,325,029,343,982,409,
083,061,898,472,938,750,752,560,935,783,759,621,706,264,603,814,286,729,605,
923,089,376,380,621,409,499,582,829,525,674,758,170,903,662,266,166,360,303,
424,736,143,492,868,359,866,895,685,800,728,717,671,161,137,842,845,485,577,
895,196,895,321,646,802,022,277,377,781,077,628,722,752,609,328,199,456,176,
426,550,092,709,999,042,983,074,752,016,028,534,907,837,237,650,244,159,481,
459,075,392,959,897,206,942,667,218,913,593,114,598,162,204,413,007,831,766,
201,378,267,317,430,716,589,856,031,601,875,886,902,050,945,052,150,810,024,
016,188,938,100,007,393,614,409,910,450,280,008,837,340,105,100,268,914,925,
346,675,544,095,733,349,921,099,888,917,375,208,082,812,948,368,623,787,488,
932,100,773,917,158,259,205,223,434,685,275,739,826,558,591,186,502,206,630,
637,340,959,138,118,266,551,512,676,791,392,093,916,012,933,168,775,210,250,
749,662,625,356,543,906,747,827,785,223,167,383,570,095,933,075,885,958,388,
690,906,700,651,843,472,230,912,381,683,254,108,590,890,679,006,106,083,611,
195,655,922,485,348,138,526,677,564,662,702,643,941,479,806,520,743,255,860,
874,107,623,090,460,645,014,031,818,949,775,332,747,503,949,891,636,930,000,
111,979,062,276,926,509,186,605,581,314,202,290,486,564,433,722,145,686,038,
401,697,722,568,173,552,107,268,529,193,771,678,532,290,473,340,617,492,347,
611,285,011,410,878,363,325,711,619,079,461,329,216,998,678,949,712,728,682,
621,601,134,372,125,599,819,593,091,180,505,182,759,319,780,175,524,796,103,
084,699,522,263,600,550,657,593,021,470,534,867,160,383,516,847,662,741,620,
059,848,061,580,078,218,629,458,331,380,873,573,385,189,017,882,333,754,418,
124,547,015,058,877,057,522,137,113,610,261,296,721,873,545,211,010,918,655,
289,016,279,765,994,388,662,473,331,359,073,999,116,577,794,489,599,502,631,
964,798,784,848,496,224,788,812,918,355,141,717,970,322,188,050,129,048,715,
761,989,613,038,367,531,721,761,017,475,096,254,774,993,810,042,562,418,311,
713,772,999,862,073,114,341,998,705,403,381,017,946,903,931,933,898,744,257,
019,941,070,966,466,710,605,148,424,369,300,543,231,224,012,298,797,955,792,
033,310,799,294,593,295,679,132,626,003,194,397,511,705,327,596,958,431,120,
868,384,353,985,842,795,867,188,717,819,141,809,374,039,020,874,201,741,063,
122,334,958,731,318,342,864,779,647,989,824,864,072,393,243,237,430,716,977,
218,250,144,819,564,543,812,010,065,340,425,706,633,734,738,413,274,953,039,
012,036,797,364,119,321,728,564,068,315,013,584,929,444,598,179,840,177,711,
843,437,829,235,166,819,305,346,652,865,228,316,414,897,152,451,217,303,478,
543,823,103,757,720,578,236,804,467,123,848,330,546,314,896,274,674,202,375,
486,726,137,558,969,439,687,712,719,409,882,771,741,092,936,551,395,373,437,
167,298,698,246,976,371,208,569,357,538,835,658,922,722,913,289,510,777,562,
868,285,958,653,461,183,565,000,786,548,084,982,314,980,711,882,273,124,438,
961,742,943,060,809,479,902,195,878,134,164,431,218,598,651,373,690,770,250,
490,427,097,238,509,294,948,845,569,677,518,178,899,426,880,468,016,691,867,
350,618,658,091,355,735,189,375,341,633,522,799,522,173,128,659,885,382,428,
503,489,113,831,095,039,814,860,413,066,404,012,058,479,740,284,672,384,556,
915,428,164,882,157,198,728,374,963,049,965,975,913,943,190,896,571,170,211,
497,800,348,588,774,762,929,508,118,971,440,576,980,191,060,673,533,644,108,
686,254,155,685,650,476,011,315,647,733,070,057,699,780,833,961,962,253,120,
495,126,767,468,767,986,353,327,657,321,731,320,222,029,140,171,496,006,286,
054,022,788,506,750,555,227,251,527,437,360,587,072,768,435,670,355,526,134,
084,740,701,683,783,876,756,441,740,879,994,307,573,098,446,219,629,343,948,
608,517,222,958,794,298,061,199,294,771,032,454,996,786,194,827,900,873,621,
301,171,511,363,575,262,927,027,814,635,460,127,311,136,396,051,304,914,845,
963,962,407,479,367,410,934,215,564,816,336,709,712,941,207,367,742,731,211,
653,573,864,570,532,140,436,216,574,529,767,287,618,877,448,254,876,974,697,
664,315,302,953,439,801,428,075,054,153,886,178,680,780,277,385,304,892,594,
129,542,568,530,029,531,252,650,779,228,436,121,136,801,612,402,012,817,934,
694,589,941,649,065,248,056,131,225,320,382,101,595,440,592,987,299,769,038,
283,246,310,365,626,500,373,606,666,589,437,133,052,970,339,045,096,614,670,
232,355,922,021,250,200,535,459,196,431,063,679,587,307,425,613,703,888,956,
268,773,545,453,608,814,719,213,044,406,275,411,749,827,315,674,266,898,699,
566,026,518,346,953,521,227,403,258,742,026,465,643,530,992,802,922,071,781,
591,995,390,498,546,445,498,821,487,399,083,111,771,612,551,470,396,695,884,
712,704,718,518,297,230,638,290,683,243,019,091,188,316,283,165,601,781,498,
924,179,698,254,087,660,458,721,940,115,784,986,412,846,027,349,744,880,933,
805,898,533,447,760,209,900,766,889,570,206,977,447,034,551,848,979,482,948,
787,499,907,781,586,467,916,359,797,447,529,182,898,153,633,975,935,039,297,
034,895,547,012,385,197,651,210,129,109,652,533,397,342,369,263,350,523,515,
120,814,142,198,087,991,408,451,175,797,523,646,088,366,175,373,443,199,425,
240,500,250,653,824,837,460,585,994,058,049,023,158,443,605,330,541,896,538,
936,050,628,698,570,796,333,922,141,450,218,920,918,784,228,964,264,230,377,
276,462,211,688,273,888,745,889,619,810,618,418,055,904,415,518,346,532,838,
574,054,611,861,364,314,204,665,065,829,178,357,038,619,750,811,899,162,528,
453,199,790,335,371,036,489,908,484,102,804,772,800,467,422,710,603,872,686,
050,613,948,840,791,355,762,006,357,445,674,353,852,082,688,254,090,336,837,
594,615,105,184,376,294,761,295,043,045,958,697,070,531,920,403,034,974,887,
475,133,777,547,487,342,070,029,829,661,314,887,882,826,489,183,307,082,998,
219,953,329,865,622,669,947,025,692,075,495,973,618,500,013,767,895,488,023,
239,516,071,604,273,185,982,499,276,000,437,844,978,312,895,309,188,106,648,
798,596,995,148,132,336,649,901,802,701,182,223,256,182,331,226,681,316,118,
585,344,410,228,343,157,578,237,814,719,148,917,480,061,983,308,725,611,091,
207,655,642,927,837,717,510,674,945,474,604,215,622,516,703,300,971,172,212,
752,840,623,073,846,181,432,430,488,334,621,174,779,928,624,081,491,967,698,
530,395,236,932,706,317,901,149,738,752,337,650,727,624,883,193,744,001,414,
799,070,664,359,818,663,749,572,362,149,393,458,309,254,612,031,571,106,667,
103,461,272,926,126,229,188,538,639,053,015,954,171,227,664,496,344,269,488,
880,844,882,970,618,624,581,315,351,362,739,511,079,561,603,908,195,664,674,
780,484,163,905,591,204,905,866,069,574,927,730,461,287,862,938,441,807,155,
213,131,593,165,719,424,957,891,537,144,904,516,827,121,431,631,033,577,425,
420,683,063,973,416,467,223,098,281,003,689,709,013,201,237,003,385,236,091,
012,160,925,510,153,666,699,351,953,299,495,160,613,854,245,826,209,779,616,
015,347,199,048,585,307,725,036,328,977,302,541,718,351,328,614,378,986,271,
674,577,334,959,082,780,490,936,205,723,315,714,265,406,608,531,020,867,015,
968,661,512,079,510,192,328,343,158,263,727,684,155,491,495,827,878,565,281,
998,094,088,227,713,550,728,153,564,785,338,544,384,128,406,179,087,550,503,
903,255,576,815,838,263,768,021,462,707,761,937,014,675,247,126,509,429,237,
092,079,977,419,781,625,397,642,530,979,690,992,586,328,648,889,331,079,773,
168,902,062,633,775,909,898,703,271,816,375,046,555,713,634,193,915,944,363,
017,670,857,073,225,099,016,168,618,833,566,255,640,083,853,018,308,705,141,
645,318,302,910,772,006,478,860,830,513,869,684,293,324,028,953,050,276,155,
307,467,382,243,538,670,003,291,454,993,612,095,302,416,149,138,223,978,818,
625,550,158,371,806,823,387,006,603,525,591,891,227,360,723,898,849,639,209,
444,896,934,531,952,907,323,828,319,775,421,509,207,210,205,647,832,411,048,
963,093,509,396,707,318,693,914,906,748,956,655,469,615,455,054,608,185,255,
428,193,291,592,643,490,711,284,246,191,015,299,155,160,554,035,307,645,837,
510,930,715,903,278,484,036,223,990,490,645,332,948,672,569,409,090,237,321,
539,231,968,160,612,194,806,291,687,433,314,899,941,368,996,509,255,439,031,
811,698,137,300,823,946,420,101,907,078,348,529,344,749,154,446,924,278,061,
688,453,419,290,229,806,174,561,750,313,723,471,780,219,774,511,867,969,424,
042,769,374,980,184,171,951,600,924,700,073,508,019,465,942,016,159,941,017,
606,390,386,895,136,155,494,627,275,864,094,463,172,976,793,057,720,856,824,
711,924,620,727,130,433,372,779,070,589,667,591,322,412,607,334,624,391,979,
240,834,175,318,817,301,228,071,898,731,537,137,074,903,619,568,020,632,061,
981,160,602,580,524,167,458,855,556,053,301,033,213,030,747,940,306,687,912,
693,835,557,505,329,678,053,042,052,746,201,296,650,674,263,475,358,297,008,
623,594,956,630,116,423,684,716,535,228,038,475,531,259,177,921,477,100,025,
325,081,424,293,253,897,861,057,278,001,032,409,127,215,696,499,035,035,654,
673,358,321,156,339,420,044,940,301,243,191,332,845,440,352,998,907,339,069,
809,263,986,071,841,974,102,908,727,745,941,030,793,284,893,253,118,481,405,
209,733,614,489,127,911,640,942,460,757,989,114,760,792,827,279,173,539,135,
580,909,574,240,831,818,522,665,094,806,739,381,599,222,838,324,604,205,891,
092,793,376,859,327,492,157,952,853,156,510,118,321,067,855,603,198,244,207,
649,802,699,775,713,716,541,730,195,614,759,647,506,083,406,972,752,099,190,
851,257,291,214,903,972,466,344,282,181,645,140,325,544,174,048,547,437,721,
458,428,350,810,703,814,735,886,637,613,597,757,439,892,143,885,045,783,783,
354,598,540,139,838,128,094,348,954,844,368,487,121,126,379,069,915,337,543,
107,489,783,610,931,159,977,678,659,714,373,525,666,001,993,381,602,589,067,
164,785,631,735,178,393,461,048,555,968,199,014,069,097,200,022,499,188,109,
634,096,047,014,931,348,696,842,715,747,355,937,956,496,800,545,053,720,211,
876,988,064,490,502,293,668,425,410,639,164,372,983,619,152,429,772,561,636,
620,249,689,395,986,353,525,323,677,205,600,743,527,930,407,158,375,608,429,
608,235,863,392,643,609,902,291,207,105,289,435,198,305,470,786,932,555,025,
784,376,870,327,480,493,168,109,695,227,413,239,690,258,788,962,229,789,958,
398,565,972,822,306,247,972,345,922,687,632,420,849,569,539,666,609,908,900,
773,194,497,360,323,000,805,261,852,674,385,791,649,126,765,906,470,420,947,
989,467,620,510,649,854,728,440,455,398,210,622,484,142,659,955,704,948,536,
630,623,597,026,477,813,514,306,832,509,241,561,447,847,672,594,528,664,374,
262,057,740,819,429,161,532,732,319,942,190,804,571,816,244,651,252,189,613,
642,228,051,181,326,668,597,123,834,329,890,404,571,090,953,231,976,546,814,
293,426,281,109,013,174,307,846,916,870,041,975,148,279,392,811,124,965,832,
865,979,047,153,834,365,283,392,299,289,802,445,713,532,604,094,911,796,442,
355,182,089,608,959,658,560,929,107,355,992,914,964,841,394,184,687,503,096,
594,481,071,853,339,721,175,575,137,001,582,042,808,962,325,346,415,337,534,
830,838,772,004,432,268,040,646,769,866,209,407,050,808,248,863,642,633,685,
861,510,658,210,087,911,864,548,264,183,292,064,568,364,711,437,596,998,280,
371,188,376,300,842,183,404,263,825,718,493,914,912,464,048,642,922,303,714,
595,214,699,786,079,947,542,728,420,860,299,782,079,650,491,849,866,298,280,
089,604,004,546,836,594,030,031,109,002,059,035,902,174,297,967,035,968,365,
621,550,337,774,606,059,190,260,032,025,091,680,523,486,222,848,172,042,532,
689,981,113,105,231,369,302,500,655,233,657,516,820,210,841,063,010,045,744,
506,375,012,300,832,682,297,271,550,910,855,283,854,649,273,251,712,254,001,
232,239,322,215,618,903,608,893,996,359,587,687,749,131,939,403,094,411,062,
306,246,071,231,422,862,299,212,389,280,165,556,471,646,804,290,649,506,754,
164,400,871,096,593,762,918,739,655,168,864,479,468,085,560,880,342,481,543,
889,461,634,491,007,910,815,559,448,887,121,039,248,205,685,304,737,517,467,
013,467,000,321,198,131,567,934,811,297,144,857,209,186,509,269,309,967,039,
972,904,247,761,245,792,874,161,430,086,898,965,676,998,265,101,559,016,493,
373,587,978,433,696,829,286,416,378,986,068,728,960,313,722,261,380,263,169,
630,891,200,151,956,863,616,332,040,155,261,261,326,986,891,529,308,033,165,
058,054,429,137,551,922,369,495,949,466,517,532,633,416,695,404,481,655,105,
513,804,962,096,283,796,369,852,470,285,688,049,379,757,543,142,729,857,219,
020,654,923,742,093,656,520,653,262,825,298,884,739,700,125,877,338,014,876,
945,200,681,193,938,574,967,167,561,506,485,154,800,977,437,205,739,492,809,
959,368,390,251,163,252,524,913,611,127,690,870,213,905,086,346,695,763,550,
384,148,124,360,981,375,737,297,750,299,790,445,807,819,360,978,524,007,932,
844,931,822,160,377,276,944,549,294,962,793,400,060,209,550,134,018,637,967,
441,260,117,810,875,626,155,580,888,782,850,432,717,615,680,343,088,528,639,
281,320,623,594,353,001,048,608,837,746,050,853,922,203,910,258,156,878,143,
356,900,321,004,279,318,573,356,900,620,851,065,561,514,272,285,244,846,060,
890,098,423,884,114,835,434,674,591,274,762,466,927,249,848,822,460,216,230,
757,411,311,452,130,698,337,403,483,625,451,350,693,752,640,858,093,031,588,
411,290,514,689,926,318,178,610,377,301,373,752,172,358,964,548,649,284,048,
241,801,801,289,721,758,149,317,693,864,408,510,879,326,780,884,718,931,688,
376,820,852,194,869,270,119,292,908,940,527,045,759,075,604,699,025,666,108,
070,784,783,593,252,309,453,762,282,298,397,304,053,107,353,751,827,306,730,
971,231,548,909,308,252,544,430,719,846,424,497,010,622,521,350,073,169,698,
141,000,536,262,325,280,526,041,747,152,413,257,192,666,409,744,292,016,424,
075,674,659,169,215,389,912,889,953,767,348,769,988,619,100,509,130,399,210,
827,160,374,736,288,205,471,708,294,294,108,664,914,291,534,264,310,936,126,
676,003,814,298,912,011,913,114,570,701,706,286,153,429,149,154,325,147,217,
045,665,599,363,570,806,884,332,662,104,840,823,925,978,675,031,664,316,943,
083,552,330,050,248,515,994,885,755,746,831,548,837,083,625,298,158,196,627,
413,134,816,684,807,679,811,214,232,917,767,322,875,979,640,608,281,162,506,
539,851,921,446,555,172,485,642,638,835,236,824,848,057,121,502,472,905,915,
841,319,406,442,042,123,882,399,844,849,238,428,010,251,722,846,087,354,539,
009,299,019,471,021,134,838,925,392,361,645,381,493,785,686,024,388,044,201,
817,918,141,613,776,920,903,608,193,467,497,710,207,562,251,443,967,325,365,
730,760,399,429,139,616,157,529,848,886,221,658,470,183,295,703,435,896,944,
734,980,077,359,175,940,502,933,011,593,889,343,579,634,742,975,378,586,242,
575,752,027,818,395,180,440,750,602,132,559,513,994,048,729,099,157,483,486,
065,502,001,054,837,217,803,822,703,895,475,727,746,597,399,686,554,137,447,
677,118,730,944,649,358,274,192,451,639,921,135,614,287,629,223,015,211,809,
614,603,058,495,712,575,962,988,912,629,141,682,854,829,145,463,979,045,265,
597,559,136,137,546,527,550,231,389,444,631,107,975,777,964,679,624,981,766,
556,331,324,974,885,208,555,011,171,897,749,749,263,230,294,885,996,854,611,
654,037,726,542,079,744,834,937,737,919,448,794,440,611,587,391,337,390,865,
653,653,092,125,343,767,007,404,582,624,140,769,843,498,212,830,777,255,386,
447,743,264,518,979,908,501,333,053,216,348,671,119,295,661,674,484,041,335,
497,763,998,557,169,070,250,429,163,081,894,706,562,471,850,667,205,720,368,
059,765,401,196,944,751,882,618,042,033,927,231,568,699,723,300,105,938,912,
846,262,402,266,601,126,633,352,244,036,599,700,514,489,495,162,839,132,286,
118,650,451,805,957,401,810,692,410,092,619,800,204,753,870,544,751,591,219,
269,093,246,563,186,980,351,224,106,196,817,413,789,552,173,593,067,805,998,
465,755,300,082,469,644,446,288,841,554,443,794,486,816,326,050,894,240,074,
700,413,176,139,746,470,758,636,607,770,531,895,916,943,042,121,560,528,884,
233,665,923,453,959,186,059,521,267,815,896,692,210,747,745,975,400,105,691,
094,361,236,084,554,787,958,096,937,649,135,763,114,643,145,816,219,302,856,
632,636,214,517,353,924,516,597,894,657,795,431,838,066,887,654,392,972,407,
349,210,663,615,753,361,665,969,653,447,902,781,871,182,965,361,930,416,149,
022,923,774,568,760,529,336,847,267,990,445,534,971,200,292,362,284,116,816,
057,288,634,787,811,584,404,775,365,950,449,875,492,345,956,514,251,795,693,
192,685,717,766,032,929,381,738,252,143,267,513,826,046,366,041,504,197,954,
523,810,023,014,403,085,019,549,419,501,744,495,487,014,339,737,817,672,645,
260,222,798,097,908,081,644,505,233,974,423,173,893,128,279,163,688,745,540,
153,866,502,248,782,909,033,991,780,388,348,702,954,152,763,119,487,433,841,
544,401,087,241,250,961,686,466,572,295,320,035,753,803,679,456,427,214,674,
723,194,038,114,895,789,218,470,683,283,630,113,129,850,379,629,693,827,975,
877,715,037,168,843,887,191,528,088,882,869,164,851,573,010,613,583,251,639,
320,449,479,726,123,006,738,944,463,581,361,987,727,915,398,877,857,246,249,
873,614,043,229,862,346,302,091,711,445,434,897,759,830,301,023,914,794,823,
926,869,319,412,822,946,255,205,299,888,651,185,742,843,256,747,569,627,727,
209,059,394,219,161,252,374,987,895,355,407,367,432,622,451,901,807,262,514,
184,016,879,708,319,908,536,490,405,325,198,191,197,011,906,328,301,118,081,
485,034,800,146,123,325,349,463,000,657,195,376,410,760,545,195,787,178,490,
984,913,738,381,840,896,183,828,464,739,340,634,493,250,192,289,638,874,621,
155,523,067,781,051,068,654,242,156,562,885,829,217,875,951,640,863,727,038,
599,760,639,582,356,679,832,956,941,268,618,773,854,703,558,914,135,179,260,
489,095,304,086,050,782,095,834,809,233,650,052,353,795,598,082,387,732,921,
450,114,091,808,339,317,079,095,074,505,626,359,688,694,333,772,986,501,036,
395,917,265,818,614,086,726,291,710,879,284,178,193,369,112,626,574,845,993,
393,406,228,707,664,146,903,666,590,879,595,727,518,551,563,096,257,044,573,
047,069,038,170,404,532,641,420,041,375,643,605,919,895,078,622,516,747,769,
481,160,541,647,661,037,570,108,566,007,502,306,481,339,866,570,470,152,942,
660,119,136,990,533,855,119,520,543,460,591,689,242,586,144,447,926,922,968,
594,456,843,772,725,200,058,066,952,517,538,673,571,061,013,233,106,315,502,
273,080,868,749,456,274,757,487,697,177,013,803,022,783,776,803,785,235,225,
384,968,455,951,977,101,155,673,249,698,418,412,661,550,416,035,930,903,591,
702,579,605,265,157,930,863,245,887,310,231,970,181,461,868,912,225,745,967,
204,398,581,278,606,813,207,681,788,602,313,093,603,007,329,351,058,482,887,
409,093,709,073,841,846,372,955,447,937,148,345,432,578,732,398,545,287,078,
573,013,298,664,402,998,166,688,333,896,126,192,719,049,468,373,300,024,225,
495,154,539,456,191,187,380,829,588,960,502,969,498,117,163,286,339,551,321,
833,180,569,044,662,630,331,905,153,041,466,648,151,223,742,549,431,973,519,
784,099,193,274,046,148,774,846,025,297,421,059,991,416,066,810,145,367,143,
890,475,937,647,021,655,246,195,935,455,215,415,194,382,249,909,415,018,289,
829,558,710,051,498,159,746,936,452,999,031,428,091,103,766,489,163,049,204,
265,843,186,926,001,738,584,178,232,203,796,163,576,545,568,939,165,465,994,
711,249,852,895,431,095,405,501,318,235,235,809,508,742,468,082,800,214,498,
413,989,332,224,213,168,115,676,058,101,315,637,438,860,526,870,270,472,900,
914,702,466,896,007,049,056,513,864,041,880,227,951,475,708,184,863,075,962,
510,169,760,913,617,758,249,223,706,605,979,350,707,095,240,806,055,063,924,
165,220,276,819,220,149,980,579,237,917,700,602,315,568,719,992,736,501,637,
993,517,913,871,787,183,482,894,992,158,548,744,581,569,005,262,092,818,520,
850,279,313,830,912,717,967,963,974,527,810,506,599,924,016,936,852,951,073,
248,755,573,400,288,676,841,178,425,716,059,037,364,326,917,880,420,905,475,
438,539,440,906,404,720,619,373,453,055,246,082,297,689,745,056,448,668,078,
455,394,335,453,873,192,984,341,014,656,044,313,682,719,762,527,808,719,603,
108,858,935,240,320,882,178,020,858,042,294,182,928,464,510,441,361,501,922,
015,685,370,588,001,327,171,511,365,830,939,796,820,858,149,719,379,510,661,
014,005,302,325,639,552,747,949,983,751,411,584,434,130,552,173,118,932,025,
791,278,567,039,275,984,646,469,822,844,944,988,608,149,601,068,735,710,675,
677,463,400,687,629,960,050,351,557,934,282,567,137,070,776,828,938,303,125,
042,883,140,761,062,260,961,216,356,878,933,768,769,987,764,044,674,775,043,
653,986,392,293,667,487,491,362,545,250,883,667,822,325,753,516,530,935,166,
904,479,106,840,944,453,027,944,833,093,089,729,975,593,199,542,820,303,062,
162,955,299,626,967,155,719,703,674,116,100,617,996,651,167,829,503,163,552,
878,156,482,040,305,718,564,312,902,031,672,789,925,073,912,719,070,167,706,
743,130,907,172,781,226,891,356,139,633,718,771,159,118,559,814,006,675,359,
041,192,485,603,319,756,226,555,205,480,615,304,147,643,968,534,216,938,634,
460,914,920,632,066,403,901,872,855,304,968,911,015,177,841,790,129,601,339,
690,586,794,411,942,313,272,475,174,559,259,136,786,938,959,201,784,453,907,
061,552,967,687,281,625,687,207,896,150,669,997,056,728,118,665,825,635,928,
576,467,850,200,992,918,076,816,809,717,856,554,653,501,539,965,875,022,043,
303,742,599,202,898,225,165,682,860,734,629,881,381,900,605,707,177,676,939,
212,961,679,831,853,638,171,993,929,367,009,856,845,387,026,265,718,745,690,
851,950,083,578,671,848,491,265,231,834,580,563,967,315,277,640,385,257,032,
400,183,787,498,372,083,538,168,008,635,239,464,020,866,462,356,251,773,489,
438,936,389,067,092,894,079,337,107,070,486,178,943,708,617,844,914,937,599,
437,690,315,343,151,322,069,320,360,043,136,945,785,163,498,041,727,851,567,
027,573,893,772,257,407,873,928,359,320,077,051,519,577,324,367,172,660,266,
606,098,710,154,978,550,878,973,073,339,535,104,122,521,790,424,768,608,729,
734,023,953,813,799,969,204,172,176,643,338,185,403,884,734,213,247,134,440,
835,753,875,227,281,165,911,278,679,633,509,311,814,766,749,364,559,195,132,
459,087,606,832,145,119,432,179,620,623,931,037,582,339,378,018,253,645,251,
284,308,547,729,917,428,273,748,280,654,935,071,386,203,703,428,879,816,888,
857,423,298,140,367,926,173,696,267,995,513,611,740,086,716,397,509,517,675,
131,604,708,920,302,365,304,142,733,272,609,579,554,897,616,408,456,523,158,
890,696,351,987,614,549,421,880,599,652,028,322,902,341,666,677,195,656,743,
113,607,561,445,814,120,898,284,888,678,786,734,303,772,032,062,447,172,416,
872,834,698,769,226,289,175,738,789,419,424,160,327,342,387,264,548,495,586,
973,756,681,663,789,774,545,280,620,025,065,528,973,852,053,611,155,903,114,
003,307,663,926,791,770,053,686,766,150,606,520,736,777,317,019,993,413,438,
705,234,262,098,196,555,239,770,668,667,096,193,883,643,156,612,116,523,477,
882,490,903,405,474,180,403,029,842,597,429,799,100,563,675,711,643,439,966,
120,722,433,082,366,548,597,350,990,328,276,960,579,180,137,260,426,154,989,
704,543,626,506,745,969,732,372,768,962,372,436,730,769,843,498,224,017,148,
836,944,895,014,108,332,881,301,041,994,417,396,751,765,293,769,708,996,266,
181,660,438,875,595,091,848,255,691,518,501,915,585,730,359,883,589,764,147,
711,827,147,845,868,189,242,129,071,944,862,169,300,460,577,961,265,741,212,
057,991,614,991,806,224,219,873,187,883,246,956,695,686,349,613,551,250,599,
216,909,484,871,497,490,660,856,168,165,473,872,148,330,238,525,410,239,635,
905,437,019,036,856,902,558,446,471,392,194,308,005,186,270,709,512,418,692,
213,057,260,371,172,579,600,329,563,142,684,327,398,274,062,506,537,438,911,
411,900,153,955,819,087,538,791,744,417,013,310,983,697,756,412,108,008,077,
201,334,610,275,766,220,422,670,137,714,197,756,901,415,097,144,526,593,833,
260,133,410,578,632,748,651,507,143,104,822,475,628,109,100,754,888,545,817,
069,536,576,719,502,273,133,623,683,592,505,289,547,460,876,714,098,237,267,
780,061,053,853,158,567,498,906,879,714,446,425,480,461,212,107,980,815,346,
754,387,984,386,604,030,399,401,235,180,756,664,305,174,694,997,836,835,933,
164,029,956,737,639,841,560,175,766,491,894,370,730,383,417,819,266,516,466,
726,140,611,905,120,913,612,710,972,055,926,839,887,145,563,767,746,345,987,
484,469,304,745,131,871,894,596,328,863,263,051,698,912,919,959,652,582,011,
930,203,133,490,576,246,320,112,674,878,272,907,021,991,092,626,253,307,050,
615,845,011,635,517,150,235,280,255,072,383,605,055,945,763,080,940,813,803,
162,107,878,384,416,559,273,820,231,901,230,366,153,075,945,451,318,162,361,
437,269,098,392,969,873,708,252,449,550,294,577,148,482,212,339,525,494,977,
201,804,936,356,540,669,228,737,055,424,540,505,423,599,129,311,766,364,973,
566,366,075,435,952,899,514,383,969,782,724,600,783,923,103,169,969,100,859,
670,902,329,796,794,760,403,099,066,504,254,480,286,831,499,676,983,442,487,
887,377,840,770,263,830,101,442,993,833,833,214,472,886,370,549,044,750,107,
879,309,212,706,502,206,076,867,663,420,504,653,240,851,706,025,048,475,606,
678,768,988,909,547,231,027,427,164,769,410,901,304,906,788,629,878,717,993,
924,412,697,675,527,774,991,027,459,415,901,057,499,843,676,811,051,858,954,
238,562,106,603,812,487,083,660,835,373,249,239,858,503,875,541,826,115,311,
241,752,600,351,117,657,771,480,371,375,920,717,405,090,678,806,116,414,929,
347,867,373,099,790,046,254,069,863,618,914,279,598,126,083,627,303,621,296,
114,334,298,396,945,085,501,383,523,664,849,382,611,223,081,190,704,233,399,
009,600,313,722,631,461,250,917,410,319,712,019,157,928,470,528,987,399,217,
836,950,505,630,599,838,354,277,031,465,794,835,359,853,538,036,251,660,057,
567,477,284,870,753,400,528,626,639,532,549,084,977,831,784,697,155,287,749,
552,333,823,600,109,836,569,565,989,047,787,330,733,069,154,188,028,571,100,
092,695,697,726,539,996,071,796,848,688,980,399,134,256,591,176,994,386,507,
748,632,433,871,490,371,850,614,174,241,034,989,304,513,019,362,504,936,329,
219,322,103,027,056,442,029,524,987,709,882,088,947,964,675,114,100,455,200,
050,602,584,983,245,626,970,521,091,235,390,485,865,375,508,609,318,391,352,
836,782,326,878,531,000,642,088,179,017,118,067,190,946,452,712,462,676,471,
343,929,653,780,654,796,970,899,410,255,840,030,192,803,466,243,205,393,659,
825,409,322,713,091,006,119,072,921,169,740,493,364,063,452,034,374,709,354,
767,628,040,096,701,404,812,377,657,925,679,623,602,292,840,547,249,020,228,
093,853,202,545,415,160,693,230,908,566,134,748,794,435,899,200,257,677,485,
820,687,335,956,347,967,953,907,465,403,936,140,246,210,861,246,490,804,596,
230,668,068,664,900,535,813,850,158,256,218,498,931,805,224,965,915,553,988,
912,023,678,177,755,519,771,358,441,870,545,838,979,751,440,966,639,304,298,
974,881,116,958,331,358,774,553,130,066,980,628,756,401,300,707,844,123,224,
353,212,445,997,635,001,226,926,547,486,173,566,485,655,705,215,692,559,075,
186,823,299,983,131,932,922,051,850,576,706,032,627,903,985,474,365,997,131,
332,898,195,517,754,638,555,009,248,746,923,895,538,286,771,223,266,760,588,
219,820,772,242,802,475,283,516,748,897,682,047,603,624,436,163,163,217,631,
822,547,874,006,169,372,886,630,287,061,510,673,611,062,289,709,248,317,666,
452,819,363,449,617,173,987,485,393,013,671,765,531,915,296,673,823,919,211,
306,497,463,374,149,119,892,124,418,192,475,796,117,546,638,076,759,208,278,
197,665,325,378,815,851,681,358,006,073,824,315,705,550,402,469,826,277,302,
755,911,985,535,511,388,157,926,316,717,153,594,824,805,901,726,781,154,741,
968,449,164,739,925,717,390,592,897,381,816,092,898,872,943,114,157,701,025,
913,988,489,008,603,835,545,968,216,123,287,955,972,292,133,406,672,968,024,
102,800,684,818,793,441,003,541,743,646,909,410,888,761,616,472,065,687,718,
462,564,572,641,854,950,068,853,831,911,837,859,447,036,972,674,553,513,373,
165,083,714,912,990,044,764,640,290,956,798,017,942,134,933,971,027,533,592,
604,992,627,647,230,604,003,842,804,228,507,894,625,352,582,043,240,058,011,
782,531,730,684,459,254,780,971,194,920,118,439,403,505,065,651,057,537,274,
498,762,452,664,973,315,076,298,280,934,954,586,175,960,933,686,799,785,324,
293,678,857,035,735,194,061,851,629,789,363,465,465,920,635,857,955,257,365,
208,437,186,486,121,152,620,439,908,631,059,090,882,811,116,007,140,879,699,
587,236,847,648,498,854,794,531,206,458,566,247,893,601,635,299,579,365,005,
146,274,395,961,847,408,027,185,884,065,228,361,114,671,644,142,979,546,714,
682,873,121,558,199,978,853,631,269,323,962,209,159,494,656,597,849,870,236,
295,626,474,253,125,198,320,423,811,821,679,847,393,860,278,000,807,557,159,
273,287,112,819,731,451,101,358,851,208,917,818,384,338,902,678,018,227,319,
027,140,214,704,931,215,669,346,367,402,146,254,010,752,734,602,581,558,158,
571,087,216,530,677,692,416,757,169,792,899,372,529,427,917,548,926,249,296,
574,898,636,921,479,309,759,235,029,222,478,912,136,598,313,505,729,990,083,
539,733,012,564,278,428,227,777,694,203,540,042,149,830,526,050,502,848,056,
861,121,596,120,452,087,215,290,843,217,970,335,000,239,493,651,040,565,912,
579,354,290,343,988,322,937,500,356,958,295,924,766,395,227,943,332,606,211,
125,629,545,499,174,612,331,791,632,022,426,584,604,418,460,540,295,478,367,
382,575,867,682,145,141,932,384,647,630,190,248,325,015,879,288,505,341,595,
048,627,013,726,515,014,786,971,588,988,388,553,834,905,733,173,802,684,921,
341,084,392,647,945,047,763,295,827,277,892,434,353,248,282,892,607,434,748,
879,550,602,163,677,269,112,522,431,154,065,868,403,474,882,702,296,804,435,
582,613,272,260,840,194,468,157,933,400,284,858,482,714,721,154,580,993,847,
241,046,024,297,785,336,409,709,268,558,210,515,823,720,330,982,280,397,884,
684,864,532,307,658,193,898,303,889,460,714,706,157,121,601,285,142,505,832,
494,728,125,323,738,782,788,413,707,641,057,887,871,257,119,349,066,588,625,
899,133,511,915,205,729,453,936,847,949,451,724,367,764,321,155,108,345,777,
242,000,381,844,971,106,060,234,192,396,322,991,809,771,577,761,585,551,248,
124,447,665,442,822,512,954,111,202,760,073,444,393,549,769,844,556,414,245,
353,864,344,536,677,389,052,277,474,333,926,098,069,195,217,420,232,205,318,
258,250,474,092,393,472,486,879,515,305,278,153,861,765,776,301,894,608,154,
393,345,336,631,701,326,655,103,871,413,088,558,618,526,683,959,293,763,106,
464,583,409,129,827,720,571,168,885,183,041,747,308,475,194,765,571,147,468,
130,763,626,597,597,130,353,666,668,109,841,377,159,830,785,480,621,500,193,
399,297,356,998,224,011,919,201,601,360,884,586,305,446,972,596,613,845,588,
775,975,789,789,522,042,543,169,334,975,782,210,179,984,467,225,658,449,536,
714,888,461,565,860,158,042,344,889,104,360,203,787,966,597,050,348,983,174,
604,723,905,737,698,834,457,976,160,860,959,170,904,087,106,103,691,127,326,
365,428,979,822,710,312,285,263,723,880,094,264,840,320,093,399,270,421,317,
226,380,608,868,208,348,774,259,303,120,019,519,245,876,022,328,706,430,920,
190,942,318,563,964,774,658,502,212,493,100,342,074,405,811,227,551,501,977,
116,957,442,400,347,377,437,913,917,713,680,009,530,313,033,989,673,283,897,
211,646,720,128,639,932,386,725,192,096,767,103,305,152,492,657,041,236,071,
075,644,583,964,754,550,593,938,327,882,734,701,613,323,135,488,786,500,920,
545,769,367,440,840,949,770,134,087,575,985,495,235,383,531,887,039,064,982,
918,392,890,929,003,817,627,732,412,920,664,546,877,749,380,502,116,770,169,
908,615,563,510,618,947,526,500,988,304,796,310,083,904,915,836,781,245,989,
283,642,462,286,077,104,822,632,585,565,854,636,554,956,714,817,645,145,866,
286,651,170,983,172,259,317,250,451,990,068,037,223,360,966,078,229,400,908,
994,301,728,000,723,031,785,424,686,211,088,549,181,467,637,042,044,167,627,
133,782,377,588,542,699,594,811,435,808,392,440,692,091,201,971,978,581,047,
172,894,934,679,710,916,376,166,662,559,201,955,913,815,199,759,408,051,196,
510,583,770,914,112,964,415,212,744,587,963,222,953,767,349,634,242,663,282,
904,854,709,565,663,739,733,061,731,916,559,393,243,718,923,968,328,199,849,
292,495,545,708,009,812,850,116,987,313,370,870,472,938,735,749,027,985,761,
784,263,686,906,216,828,293,704,317,627,961,193,573,752,054,427,385,971,487,
727,863,190,643,290,172,151,154,178,297,136,697,953,453,899,200,402,456,877,
267,152,705,544,939,447,074,361,914,181,014,901,837,147,629,638,099,444,706,
779,391,922,034,843,757,898,023,328,199,976,819,338,004,112,001,486,688,230,
518,225,742,845,417,846,432,244,680,760,947,263,352,968,547,943,826,827,092,
160,181,048,660,987,656,284,314,406,246,128,935,964,388,364,974,967,024,326,
017,031,641,179,177,610,487,528,534,237,193,342,984,477,762,458,959,710,852,
270,284,539,974,467,786,467,143,568,915,046,192,942,970,663,844,032,299,044,
875,991,492,550,010,607,367,862,882,106,003,510,089,525,476,050,528,054,749,
292,878,859,680,698,229,234,150,517,623,301,393,890,782,453,379,099,346,895,
767,786,852,297,477,908,776,902,953,811,925,516,668,093,748,651,508,964,453,
066,966,341,099,032,490,365,769,993,693,855,411,972,865,514,492,223,480,942,
327,581,177,265,714,176,023,594,197,083,761,851,654,735,756,106,294,508,152,
559,347,836,658,505,662,881,970,796,165,165,978,135,355,681,639,576,195,159,
490,158,308,840,504,544,966,758,804,863,575,149,560,253,445,679,417,073,585,
676,903,836,307,777,891,080,153,368,953,213,265,587,136,092,376,293,534,431,
136,157,955,583,014,009,670,096,214,653,666,227,574,779,353,827,149,357,361,
800,353,661,936,850,445,652,230,616,362,112,752,295,176,706,990,801,102,264,
917,914,799,204,126,515,491,357,173,532,042,564,041,365,407,844,472,691,716,
398,268,622,652,220,329,109,670,589,892,695,429,596,137,120,328,762,306,481,
658,310,713,956,668,381,341,010,459,624,374,699,604,201,012,567,558,054,437,
460,874,236,335,127,916,846,211,586,947,820,620,928,535,321,846,233,028,538,
845,896,054,686,147,842,276,561,801,255,696,940,249,892,236,143,575,930,432,
515,401,560,209,520,079,494,277,204,746,088,810,181,759,397,531,182,871,253,
115,775,708,720,253,459,199,984,767,311,285,082,059,373,447,170,936,104,011,
181,884,221,131,255,986,038,954,346,478,872,943,648,654,138,658,912,921,323,
647,967,344,937,904,017,529,990,742,735,722,892,060,669,807,609,472,384,180,
814,694,875,231,284,310,939,023,151,884,499,317,266,985,497,546,071,809,334,
926,207,369,243,479,520,128,992,506,532,918,695,953,123,414,105,891,587,554,
904,268,736,664,381,753,351,492,941,271,121,028,577,881,633,432,749,418,370,
517,890,152,677,287,289,341,609,256,890,233,589,950,520,884,518,956,428,448,
214,636,653,235,267,778,724,858,369,632,699,380,984,772,793,553,232,919,649,
982,459,289,358,895,565,706,053,115,863,701,318,143,510,079,496,455,932,909,
241,711,756,927,501,150,299,647,406,452,637,830,791,394,810,297,126,937,359,
263,297,488,349,593,328,746,756,304,905,080,616,133,024,488,054,538,439,276,
151,608,613,068,672,761,365,424,680,792,627,655,602,501,101,183,151,394,182,
681,526,270,223,285,698,111,078,848,101,691,852,449,392,694,813,231,095,595,
984,522,069,750,703,696,594,334,052,539,879,331,847,197,430,383,398,013,108,
459,133,855,159,917,328,328,647,083,610,691,213,699,760,168,049,146,357,637,
173,714,540,885,946,359,630,684,507,119,490,136,990,260,813,033,990,232,114,
633,552,556,456,909,738,156,038,009,577,012,986,707,166,871,759,529,039,463,
410,249,931,659,918,158,461,137,004,653,164,913,264,113,590,485,110,265,559,
749,988,357,331,596,384,937,187,523,131,568,549,003,927,152,733,365,356,793,
786,943,448,276,510,968,632,528,484,201,374,662,555,485,181,918,359,448,317,
993,018,046,374,537,504,958,814,823,903,745,505,331,456,802,965,547,933,694,
763,502,731,145,818,512,616,819,394,768,751,260,603,357,269,684,576,018,290,
038,191,398,291,164,349,210,270,943,089,345,406,285,373,578,828,901,307,650,
519,867,653,414,667,548,445,715,401,327,991,979,025,257,741,058,231,860,633,
082,687,686,038,409,015,087,261,003,710,431,815,419,907,062,906,311,277,628,
160,597,607,335,053,627,495,863,206,431,535,819,861,529,556,673,731,437,822,
206,700,823,322,712,115,874,192,628,561,196,167,940,539,063,669,764,894,096,
354,190,444,191,479,190,965,888,341,401,131,255,731,067,306,187,787,234,255,
806,804,877,766,669,778,937,319,512,166,348,150,806,313,699,093,581,089,407,
914,538,818,313,316,357,809,359,077,949,135,208,562,173,875,611,212,549,159,
374,611,320,512,210,852,530,533,353,775,721,788,527,273,868,831,626,807,840,
987,567,183,510,495,791,963,285,742,420,304,965,250,209,334,311,815,032,924,
931,416,775,524,348,201,847,908,040,897,284,202,875,686,877,521,831,566,010,
089,813,169,360,986,239,354,173,511,458,376,396,637,741,752,005,481,564,811,
464,548,492,215,697,333,995,197,925,936,646,958,191,821,659,534,503,638,707,
110,417,207,754,840,036,003,489,653,398,689,706,158,355,466,350,220,411,162,
866,195,909,279,790,864,228,143,563,704,574,544,244,945,700,803,803,674,786,
601,149,524,570,792,645,370,699,400,521,160,298,374,588,071,665,591,548,434,
198,399,083,832,790,489,189,478,760,963,867,071,612,936,829,523,225,959,366,
658,517,572,682,912,319,304,493,764,169,814,606,233,769,029,118,939,058,486,
246,135,844,831,444,287,910,522,368,096,084,476,197,897,420,289,720,993,111,
359,483,176,743,750,935,681,588,659,835,836,213,090,226,490,761,873,579,144,
737,624,881,900,869,705,628,616,121,717,211,176,273,311,277,346,031,431,320,
654,797,174,986,965,446,591,695,743,753,625,714,349,658,130,883,977,530,871,
567,248,145,893,434,753,643,809,090,755,370,491,503,809,992,300,915,776,223,
840,814,847,529,976,155,949,971,057,269,919,885,745,794,443,122,647,413,553,
162,415,460,514,909,323,063,359,338,446,791,722,871,512,075,373,947,310,856,
870,219,102,449,127,670,832,617,696,798,546,745,805,278,441,939,126,671,075,
549,166,739,470,956,825,443,408,025,694,527,039,885,083,827,870,747,923,877,
075,674,730,852,023,998,010,969,168,705,093,506,039,744,539,960,824,748,389,
874,085,647,724,224,705,417,702,346,527,864,420,896,710,969,818,356,318,374,
766,345,216,598,237,692,373,446,561,108,910,544,317,216,342,170,698,023,305,
169,579,016,045,773,115,450,035,817,857,350,582,610,603,642,414,057,236,345,
876,606,514,746,542,432,669,331,671,089,872,043,645,608,399,575,639,708,078,
494,620,313,277,739,217,571,307,068,705,957,646,977,593,226,420,066,716,331,
627,866,083,693,634,751,774,319,434,125,085,473,339,066,939,298,366,359,429,
203,000,552,333,058,965,470,479,128,175,135,956,042,175,613,860,931,345,828,
496,528,267,022,676,551,587,679,745,473,429,205,833,559,668,408,941,317,377,
736,962,774,639,324,884,712,061,021,018,271,009,920,066,333,888,490,098,111,
867,106,092,540,972,327,625,863,848,944,028,159,847,568,945,913,408,736,369,
097,365,312,148,591,932,800,527,801,951,387,814,287,127,273,667,335,524,072,
842,576,558,322,757,466,445,226,976,667,815,181,241,666,336,574,013,606,562,
572,579,970,864,593,553,011,387,732,685,177,673,837,066,657,455,626,473,235,
092,215,055,364,407,558,379,289,149,065,842,485,454,991,169,995,410,227,624,
814,633,652,490,045,525,945,296,784,077,525,265,540,781,016,256,617,902,381,
272,356,142,326,351,712,516,406,643,108,688,872,278,402,578,047,383,638,066,
122,970,861,696,051,691,461,205,868,785,645,457,244,246,413,709,946,005,002,
531,811,307,200,276,781,924,612,760,633,069,464,380,622,612,567,718,967,696,
682,476,374,582,948,003,396,956,521,571,757,268,525,276,020,486,713,130,548,
837,039,015,982,150,493,925,166,569,244,549,605,805,046,078,331,969,189,230,
589,444,085,963,746,675,088,172,455,473,216,584,967,618,950,772,020,737,793,
402,635,877,171,358,405,889,885,145,997,534,037,124,506,787,849,432,461,825,
302,439,965,205,719,454,761,225,308,223,266,195,193,086,390,735,024,141,436,
370,332,542,200,709,849,939,962,128,912,449,953,311,763,290,406,389,437,150,
488,303,783,978,515,719,662,218,187,830,794,917,135,333,598,462,978,742,613,
560,478,297,150,568,783,069,628,652,809,722,875,395,424,581,778,567,006,325,
512,512,167,014,759,692,135,329,006,762,403,471,302,117,030,482,857,637,160,
871,974,587,044,148,130,008,913,547,424,193,858,274,037,406,844,754,607,636,
370,659,689,688,658,089,029,005,652,527,967,354,667,884,814,683,117,247,921,
086,233,939,189,052,966,491,162,278,747,530,526,739,382,034,913,840,219,722,
057,724,102,039,154,155,269,707,636,426,017,562,399,740,440,826,691,499,211,
605,774,215,451,624,202,834,652,027,117,692,353,561,989,907,035,093,945,547,
636,078,775,332,384,878,509,096,945,733,301,698,951,463,483,081,530,179,989,
789,163,118,700,104,757,654,827,678,884,507,733,543,315,961,793,478,283,061,
186,840,600,379,578,045,301,908,988,155,304,296,046,453,769,519,098,963,787,
786,185,852,193,112,005,859,098,073,084,948,227,182,273,479,927,529,764,688,
102,908,267,609,414,872,577,459,309,385,628,355,727,177,168,880,538,403,939,
268,302,529,150,779,925,805,751,168,673,701,830,101,074,530,834,790,921,085,
019,892,528,942,784,230,686,144,568,381,568,673,322,203,804,388,795,203,138,
754,864,364,408,398,719,769,305,204,129,396,193,704,547,196,506,399,856,111,
932,824,356,250,971,848,358,879,444,584,089,027,518,744,772,297,009,445,583,
689,893,935,612,984,204,131,202,461,758,266,678,511,948,571,681,554,533,251,
384,825,815,757,709,661,713,944,191,959,010,684,835,866,841,763,527,201,193,
504,510,577,864,449,960,641,930,439,852,564,023,677,117,291,315,890,989,997,
823,199,962,751,757,313,051,784,772,546,054,903,155,188,772,227,489,016,176,
828,145,928,829,234,699,478,065,251,254,366,036,782,516,257,536,410,474,303,
289,674,976,715,638,846,049,535,198,928,354,865,416,398,396,452,418,335,936,
236,121,406,906,105,797,836,354,624,772,099,413,681,973,230,671,015,773,297,
372,749,474,898,459,525,395,930,629,523,734,143,786,938,304,971,992,055,251,
935,504,897,156,254,384,401,201,595,950,417,333,706,000,388,047,675,668,145,
960,274,567,605,609,715,924,780,106,317,065,603,362,326,003,181,308,220,951,
176,910,060,033,282,312,227,547,751,866,778,957,913,486,763,879,753,863,191,
421,762,366,584,856,584,581,953,933,553,826,602,864,192,214,402,974,882,538,
669,111,009,296,135,006,217,602,806,465,105,968,586,286,893,830,416,713,099,
957,983,810,347,618,968,908,286,299,051,114,496,959,239,251,108,403,189,570,
132,362,430,002,342,993,313,642,617,204,733,223,125,881,269,242,113,748,656,
491,841,955,940,891,344,844,562,116,978,267,890,209,792,053,562,906,425,724,
069,936,091,220,590,884,256,852,005,829,686,841,446,379,792,679,975,229,526,
157,933,951,751,844,188,159,257,980,244,699,944,127,060,375,243,978,965,017,
498,360,472,980,531,396,196,754,748,563,279,210,039,116,799,679,839,371,181,
488,996,597,263,913,772,915,611,476,524,815,575,093,653,442,665,272,199,111,
016,052,957,990,241,084,996,796,453,578,016,974,793,596,125,143,947,603,361,
163,681,497,565,257,072,002,994,689,387,414,978,444,669,025,568,865,870,622,
697,654,031,821,315,624,104,566,382,658,662,175,890,794,345,648,262,734,095,
965,424,981,356,976,053,991,737,610,160,151,884,091,219,737,332,511,760,384,
496,122,374,805,558,390,022,178,278,933,888,271,147,964,788,192,879,572,375,
835,077,676,978,794,875,229,696,999,995,940,004,745,784,634,216,577,262,535,
127,281,748,942,891,925,758,359,379,137,271,816,122,107,837,325,205,290,631,
016,448,948,715,114,710,431,447,123,246,132,156,564,502,082,310,972,361,304,
119,923,648,249,681,881,977,970,340,871,124,683,523,409,399,444,609,582,262,
187,051,411,790,674,238,355,997,405,960,459,071,450,053,395,997,427,104,793,
812,209,018,879,103,566,387,355,441,211,799,926,647,601,206,856,002,988,023,
884,471,076,754,205,571,767,429,381,246,099,922,748,130,873,787,732,878,228,
479,474,610,363,032,503,756,610,052,916,966,709,188,099,719,617,349,823,654,
518,849,824,731,907,944,926,824,252,022,994,940,662,068,447,684,521,349,525,
538,272,514,599,624,099,024,023,415,926,689,683,499,982,407,813,271,623,953,
156,634,637,127,954,775,308,292,447,918,889,744,430,871,296,091,119,515,556,
493,610,568,873,347,957,836,560,938,613,336,598,424,392,467,997,250,486,962,
087,716,084,865,082,860,522,552,875,112,530,261,147,412,357,271,778,654,781,
556,063,420,338,039,380,199,537,600,039,580,679,936,335,795,338,007,011,435,
866,371,427,216,405,604,701,897,926,446,489,688,015,929,707,802,001,976,107,
246,236,646,481,219,959,028,927,628,503,944,089,562,013,580,087,276,239,597,
673,849,869,266,206,771,853,414,260,624,566,737,381,442,164,858,489,668,354,
916,018,342,202,818,172,595,700,211,982,670,161,078,738,244,227,398,466,984,
935,124,213,215,090,772,715,515,159,686,273,610,572,595,229,956,732,359,224,
224,417,039,687,293,646,485,175,136,831,144,817,592,646,972,456,482,019,301,
469,863,636,603,646,026,287,376,348,970,943,457,309,220,411,761,306,937,958,
206,193,678,590,225,866,870,035,733,249,250,813,489,608,137,158,413,788,908,
943,246,754,194,371,048,164,441,077,055,492,704,341,660,184,228,598,288,618,
433,369,546,210,059,495,324,875,831,060,046,992,164,639,416,483,402,838,050,
340,578,605,219,177,459,075,861,062,866,292,295,966,207,262,851,558,749,453,
080,476,712,263,822,739,848,589,423,966,566,663,316,067,166,234,684,066,576,
776,934,999,093,664,892,093,195,405,534,378,719,855,600,412,190,773,642,327,
072,740,084,705,746,539,258,073,140,658,577,787,928,202,585,494,123,955,991,
126,350,447,325,313,163,800,794,756,769,384,983,317,272,251,623,408,358,253,
202,540,530,641,558,501,269,178,073,235,246,762,551,350,169,595,909,693,643,
345,263,465,244,863,263,783,905,633,586,702,293,096,343,349,559,704,995,927,
506,237,376,649,034,881,976,905,121,804,484,501,687,706,138,192,266,353,479,
574,031,895,047,416,633,860,556,540,034,565,039,362,766,758,149,047,246,523,
183,312,406,271,486,645,380,386,135,853,067,848,590,420,336,195,836,837,312,
780,353,828,528,307,040,367,622,785,452,934,039,371,435,939,041,981,253,432,
104,141,468,781,734,537,028,788,343,385,600,445,893,932,206,463,196,335,705,
750,529,446,257,959,560,914,805,640,451,405,662,519,618,970,540,370,669,218,
453,047,404,815,770,580,809,122,172,355,969,335,051,587,610,683,717,944,245,
401,326,649,043,633,738,511,216,450,987,662,519,969,027,125,479,166,425,878,
779,971,116,220,342,112,668,601,856,582,483,848,563,933,294,615,580,731,834,
465,675,929,173,539,030,107,125,803,014,271,132,718,257,247,006,100,513,375,
183,603,191,077,849,491,764,283,543,551,817,911,128,361,501,747,411,797,436,
603,424,582,816,742,260,931,608,263,002,806,891,687,237,691,100,146,302,633,
607,432,827,105,990,186,486,749,864,711,011,421,148,885,496,765,666,710,987,
379,080,061,882,152,093,411,555,629,036,287,628,922,784,013,007,765,203,168,
744,537,635,396,924,630,234,833,504,372,015,856,673,568,840,318,186,519,381,
467,044,606,779,771,853,596,125,042,602,281,296,427,052,566,820,329,480,284,
820,390,600,980,392,065,341,777,548,804,797,237,531,038,108,391,009,515,894,
096,643,109,010,452,425,989,690,952,962,997,278,288,565,390,271,689,263,447,
353,278,037,275,912,810,507,522,816,745,246,380,023,439,423,725,033,571,145,
672,241,846,399,498,653,667,949,690,861,879,788,443,647,431,891,649,066,906,
812,326,574,440,129,150,647,016,671,963,333,557,102,568,689,668,071,875,563,
814,613,135,569,836,859,048,145,145,657,420,591,027,773,609,815,438,084,890,
027,906,068,069,698,215,375,980,003,004,057,331,145,311,021,970,524,183,671,
494,065,597,006,308,351,658,788,521,702,235,309,652,023,497,512,623,965,467,
719,119,417,235,356,374,653,499,620,545,719,127,204,047,119,911,195,863,098,
689,317,659,374,377,538,862,027,560,640,572,438,798,952,050,668,577,744,809,
613,267,247,670,836,609,627,950,969,891,616,682,242,467,553,486,551,495,522,
065,536,320,663,146,010,062,862,341,741,589,873,069,972,965,227,204,601,598,
453,667,676,965,485,049,713,284,410,519,611,718,617,480,011,906,665,066,915,
763,697,037,902,070,543,033,762,224,110,446,203,513,924,987,744,328,895,047,
859,563,155,176,106,331,286,617,205,115,167,392,541,792,095,510,589,482,473,
063,954,109,178,137,043,216,521,435,237,977,445,827,271,045,877,854,792,791,
158,491,092,723,959,819,564,779,380,831,923,921,239,137,842,388,239,791,576,
565,771,947,990,684,673,497,921,885,100,457,776,043,744,343,276,366,435,536,
351,070,790,243,557,342,276,589,571,783,515,959,311,972,099,815,167,462,884,
192,576,971,582,002,234,689,801,958,686,169,908,776,303,841,929,537,409,571,
637,928,960,045,700,383,095,633,730,248,379,217,623,142,678,494,918,076,018,
091,921,821,747,165,838,527,482,308,260,787,379,529,344,822,784,941,650,138,
092,753,951,928,133,440,051,038,385,849,269,700,734,025,638,814,239,449,911,
548,369,690,158,961,641,586,444,181,033,427,494,661,038,174,596,155,881,590,
092,865,493,200,023,486,763,016,944,334,789,192,197,212,390,788,487,041,333,
666,286,384,144,040,993,881,218,619,807,629,190,414,234,765,123,389,050,735,
932,472,298,969,635,526,141,376,613,306,560,500,812,384,646,891,586,793,760,
915,893,131,208,964,856,130,638,035,415,247,434,827,838,149,284,033,888,542,
262,614,734,148,727,438,560,344,300,601,421,271,481,811,230,881,181,872,120,
647,982,166,071,734,059,205,998,868,311,457,747,499,354,625,832,485,702,677,
639,347,096,498,933,933,857,174,103,735,519,033,002,025,236,126,786,518,653,
179,800,562,714,731,383,393,360,121,423,075,471,510,273,474,288,560,194,589,
328,163,793,072,206,837,792,829,209,660,219,126,480,949,092,977,555,594,262,
128,993,903,888,815,292,147,533,893,946,119,761,856,457,200,782,151,858,805,
032,180,429,793,007,972,742,582,094,777,920,293,135,487,786,292,088,976,102,
061,579,283,124,147,297,755,686,730,182,995,709,121,407,497,228,855,923,687,
801,795,384,634,807,535,705,920,978,049,974,624,398,102,185,185,043,952,660,
902,290,730,389,613,719,495,802,990,255,471,171,505,412,607,900,512,313,671,
684,189,948,440,031,291,284,088,159,584,673,940,345,133,945,111,745,390,462,
382,613,042,678,423,821,943,016,889,699,818,139,078,489,919,270,193,526,105,
201,941,323,303,583,582,973,342,201,884,659,280,945,027,980,056,733,539,767,
703,754,618,011,607,851,800,452,399,622,262,924,484,281,395,910,652,130,249,
065,787,709,337,548,110,000,769,738,221,494,788,838,402,847,465,462,650,050,
462,467,855,383,234,415,624,790,119,910,466,365,314,821,392,437,991,736,284,
614,143,660,909,992,289,065,835,701,925,736,263,763,070,815,136,054,716,171,
186,240,973,291,760,782,359,538,180,778,173,808,956,483,163,789,112,339,578,
612,047,154,402,907,069,995,219,946,476,130,641,684,199,963,275,385,557,657,
556,031,422,546,008,519,774,155,503,868,189,527,284,253,251,638,890,335,961,
171,518,628,905,981,045,164,751,511,057,672,914,348,741,985,775,617,175,160,
920,850,097,130,784,295,622,736,678,023,314,448,997,009,343,075,028,220,101,
639,536,279,274,793,818,588,320,837,192,629,925,322,210,426,075,423,412,398,
884,261,979,353,749,060,849,893,911,329,572,642,254,214,557,953,383,050,087,
426,121,071,550,800,436,054,014,025,606,283,686,461,221,331,911,976,661,999,
600,803,604,233,155,294,120,483,466,205,017,369,802,884,315,324,456,676,055,
080,822,209,076,930,692,751,386,364,217,076,089,802,032,900,364,530,333,542,
321,942,007,442,216,291,121,526,278,036,454,883,114,695,379,493,832,038,434,
151,334,630,791,406,894,377,309,873,524,482,107,448,423,969,767,105,802,828,
792,373,001,340,417,967,085,022,047,788,654,452,885,182,687,389,457,229,437,
572,902,987,577,208,493,177,391,714,976,490,309,487,238,050,014,423,719,085,
823,847,613,791,062,339,560,898,439,341,204,899,792,224,955,026,896,990,479,
265,185,593,673,458,819,823,459,135,388,634,020,708,381,840,018,699,058,189,
958,814,163,499,389,587,930,590,437,645,687,086,323,429,233,368,301,049,040,
262,030,805,341,541,006,268,932,426,937,197,721,263,043,093,776,053,305,599,
393,839,085,218,260,177,814,861,485,834,379,119,354,506,304,230,047,027,567,
771,381,747,389,948,363,747,975,318,827,601,621,265,502,613,063,011,348,867,
934,191,376,397,603,292,255,071,557,146,441,350,737,010,312,086,715,350,623,
140,461,887,335,923,674,977,766,876,209,630,865,514,746,919,745,149,712,207,
733,169,237,740,562,619,246,798,292,219,007,669,507,714,767,469,778,530,328,
883,660,629,984,654,736,940,916,753,759,187,917,761,511,690,008,548,448,984,
171,586,541,813,179,677,245,227,017,012,351,035,760,454,810,017,912,419,402,
625,229,496,116,294,962,965,334,380,434,678,900,796,324,119,336,309,395,391,
965,531,253,769,130,702,659,328,486,579,506,038,552,917,880,325,153,539,927,
039,443,866,257,584,869,075,800,142,448,111,750,438,169,337,304,379,180,616,
797,922,879,833,853,775,432,880,941,124,409,494,831,552,993,847,876,218,345,
107,106,159,115,584,939,340,941,369,810,326,289,174,675,751,688,531,787,805,
241,028,644,828,626,666,593,151,314,077,332,364,502,736,195,309,175,257,397,
827,286,161,301,496,952,696,777,515,263,651,619,106,681,162,323,580,481,181,
627,335,183,270,778,528,091,113,739,306,967,372,563,874,874,118,549,372,047,
525,341,866,346,722,990,196,587,000,123,018,587,933,850,156,101,162,372,474,
123,685,310,616,939,007,919,178,311,057,218,071,072,645,929,499,787,558,770,
448,210,180,502,289,616,678,050,397,717,187,690,552,600,884,998,594,361,070,
325,931,219,594,085,579,229,506,573,435,701,016,434,380,530,824,084,203,753,
645,501,048,079,476,939,633,532,533,894,831,642,650,712,534,246,925,505,126,
026,562,473,737,562,723,328,375,827,076,878,517,032,085,592,436,477,263,776,
063,178,871,255,242,674,213,005,191,801,838,987,772,798,160,928,971,172,399,
891,630,322,029,922,873,108,200,615,491,682,832,671,285,179,473,989,571,986,
680,737,782,271,725,811,578,821,448,256,451,468,442,715,006,376,047,063,143,
595,419,303,666,454,180,247,973,635,918,445,348,227,775,543,711,151,240,004,
666,253,196,281,332,074,401,638,477,755,220,804,134,506,023,788,268,042,845,
455,674,167,096,112,682,094,650,614,871,665,999,844,475,124,137,541,766,420,
792,680,530,730,011,540,011,730,527,690,910,640,815,755,993,413,627,333,678,
850,493,912,694,116,072,732,082,218,011,435,406,885,274,242,992,572,831,561,
868,776,547,787,069,093,601,514,854,239,911,109,892,833,512,810,977,249,948,
967,559,655,986,709,304,914,932,214,279,982,740,793,619,312,320,500,183,251,
987,391,896,350,464,485,334,952,451,516,902,227,134,980,525,005,772,786,247,
101,541,148,911,908,395,980,436,818,653,911,744,229,562,925,521,629,871,080,
476,533,119,791,233,699,932,748,312,859,909,596,705,932,445,071,572,357,580,
801,744,777,343,861,749,022,933,919,358,077,298,020,081,128,962,929,719,850,
582,644,407,237,319,249,046,961,379,699,525,204,483,702,099,001,757,050,140,
560,580,680,775,421,888,322,305,212,462,509,819,319,066,065,777,923,584,252,
607,917,560,009,222,718,714,550,773,553,213,098,395,418,756,050,180,118,535,
787,236,433,202,522,933,465,425,302,471,747,336,380,926,254,276,934,722,506,
787,447,942,663,662,196,020,084,426,056,817,756,049,636,859,594,557,030,579,
382,708,069,775,736,866,142,483,427,569,964,328,376,683,219,374,896,924,882,
768,056,444,962,312,949,254,206,748,004,536,843,429,660,264,838,961,801,754,
391,248,341,518,951,665,750,235,891,674,696,958,301,406,385,082,542,580,460,
102,587,452,437,456,311,670,778,053,738,019,915,534,768,925,089,201,930,769,
820,734,769,326,559,149,443,689,628,141,156,887,390,553,988,590,720,793,193,
575,369,162,229,311,739,735,709,639,801,467,313,458,877,500,200,179,739,589,
916,058,725,823,867,722,467,889,793,419,831,490,465,112,941,845,573,965,783,
081,901,155,332,739,906,174,519,090,488,812,143,188,849,906,829,536,563,806,
452,419,944,325,355,074,980,466,718,309,222,650,090,755,046,772,063,413,526,
591,995,032,789,901,836,828,375,014,370,999,405,673,725,191,446,123,462,525,
596,463,519,749,135,656,625,432,624,548,117,995,309,663,238,905,854,989,908,
163,082,199,425,233,235,189,731,913,637,343,966,491,389,642,540,233,041,492,
731,402,924,246,329,363,194,012,577,337,679,716,273,457,591,033,363,177,556,
802,062,975,053,937,650,937,707,379,977,532,696,563,406,690,887,164,146,108,
860,910,243,935,114,267,802,680,416,455,398,994,191,541,105,503,823,843,088,
363,385,915,762,384,769,154,027,951,993,888,304,890,477,361,219,916,032,788,
137,660,609,619,990,513,082,508,568,277,524,207,644,728,571,997,585,852,928,
099,470,367,044,814,045,514,096,480,712,991,836,221,370,613,297,053,631,017,
272,511,296,729,845,752,145,200,896,952,210,173,594,241,891,020,357,021,815,
507,165,917,270,974,296,021,498,153,382,891,273,965,190,165,027,802,530,115,
786,874,831,892,301,217,011,540,080,480,105,224,236,634,702,811,442,909,244,
186,955,128,018,985,299,687,606,781,073,810,854,550,783,168,911,557,044,028,
317,527,242,519,048,386,181,444,179,149,274,290,092,354,852,623,954,069,429,
966,955,066,009,122,030,204,004,614,923,914,384,354,882,006,817,941,036,631,
440,914,923,238,951,949,561,503,935,497,069,527,915,093,501,378,039,506,653,
834,796,023,439,850,792,972,915,992,218,106,890,016,235,288,053,443,341,363,
450,805,998,996,034,008,440,635,880,277,203,017,026,886,478,007,894,162,725,
536,195,456,755,845,553,830,324,992,235,552,497,711,441,807,372,514,758,715,
983,172,758,056,835,912,490,667,229,873,950,238,438,673,908,663,011,792,154,
679,391,575,143,937,689,166,703,570,803,402,170,203,023,208,916,560,203,842,
559,635,263,466,809,492,938,279,862,073,459,365,831,320,477,413,503,561,872,
396,002,563,396,983,698,644,672,462,108,531,663,005,733,199,672,629,508,970,
340,981,535,910,912,996,421,458,031,036,330,718,371,663,465,361,763,214,267,
313,773,471,215,025,591,791,623,922,894,865,263,716,660,041,940,964,708,357,
947,663,266,431,793,124,627,259,970,812,351,796,727,775,748,227,933,247,909,
938,151,357,457,287,114,073,244,147,305,877,201,215,861,449,798,807,905,036,
836,696,651,282,730,043,739,291,898,282,783,513,512,457,545,193,966,244,710,
063,341,166,250,954,983,754,854,606,226,569,672,073,596,452,674,241,577,635,
042,771,145,436,184,292,747,856,707,112,663,600,157,559,090,609,800,951,096,
451,170,604,896,876,459,184,341,760,322,416,870,683,131,068,054,282,040,461,
332,201,007,577,604,020,897,505,767,276,095,896,469,038,768,139,136,895,077,
046,464,481,089,476,346,112,774,056,858,633,900,145,016,330,987,955,945,257,
341,707,155,862,035,635,526,873,785,630,218,441,571,253,759,248,521,376,439,
984,791,321,874,863,942,061,767,334,700,503,307,699,994,873,641,987,958,317,
943,434,123,755,016,843,546,149,685,409,787,706,130,220,128,649,443,065,942,
872,758,307,007,457,250,415,996,837,700,331,911,151,294,155,257,311,510,411,
102,696,303,519,964,887,867,432,793,138,127,143,124,097,725,883,891,556,030,
412,445,159,488,916,412,569,905,363,950,409,981,603,202,331,447,856,970,565,
153,941,546,790,144,193,857,586,238,654,505,503,312,521,175,741,553,008,457,
741,607,092,740,078,640,539,941,381,884,503,358,420,670,553,243,226,570,114,
789,352,815,798,515,535,629,692,040,505,700,458,810,910,104,027,263,356,220,
588,670,577,347,549,777,468,540,288,679,443,516,530,653,011,173,704,660,079,
482,793,677,848,396,553,190,761,061,738,494,417,513,613,689,332,646,489,985,
749,369,250,010,891,108,325,768,660,343,065,345,693,760,886,029,703,396,850,
349,095,761,672,203,372,536,333,036,810,427,804,896,908,317,058,649,535,021,
500,237,008,565,075,231,357,834,246,998,585,423,221,729,613,192,128,056,012,
779,209,680,853,384,146,647,443,340,458,561,813,652,118,518,986,802,004,148,
942,201,608,832,132,430,827,236,839,513,457,306,248,997,828,783,897,335,231,
482,055,927,551,594,884,208,312,828,573,134,967,990,515,654,436,528,823,030,
073,777,177,610,073,606,474,786,098,008,778,358,233,158,276,955,986,991,959,
178,028,375,397,983,256,337,108,856,201,556,504,650,703,060,773,680,434,622,
608,086,431,434,905,240,009,737,608,942,916,879,928,536,284,641,448,507,521,
149,195,765,322,220,738,440,879,944,909,944,290,285,376,108,835,932,065,298,
265,844,120,308,456,829,631,142,360,171,578,336,678,160,013,967,918,681,770,
114,730,084,194,273,375,428,369,480,271,196,029,151,825,615,860,045,115,349,
018,280,389,706,319,113,605,004,219,157,754,136,904,502,907,581,705,589,999,
620,579,854,197,930,297,593,583,628,764,330,035,714,533,138,301,194,294,503,
383,528,840,117,176,605,394,646,037,306,004,443,763,323,160,969,899,249,471,
880,353,126,822,003,116,938,676,019,216,929,053,440,359,010,808,112,520,170,
297,993,157,501,174,271,238,165,560,081,421,113,221,705,764,650,633,917,267,
401,291,926,472,331,864,792,305,942,484,508,120,258,773,482,215,116,419,227,
809,760,332,727,338,363,332,186,462,486,451,582,359,670,640,378,725,014,868,
097,950,083,685,690,823,018,135,714,531,646,869,435,710,806,972,623,305,527,
076,940,866,594,150,783,944,029,632,098,503,685,333,971,611,092,259,806,509,
477,103,915,243,133,733,785,330,497,776,731,752,067,063,627,652,070,595,326,
026,310,352,681,015,964,028,656,173,721,893,194,394,685,089,435,864,187,074,
974,378,282,631,485,042,440,525,722,861,211,234,402,588,072,576,604,820,875,
675,179,558,905,538,366,334,251,808,030,967,010,978,820,621,746,518,525,846,
589,238,140,236,291,075,905,112,207,140,841,096,915,166,217,984,292,856,066,
848,105,703,662,968,165,387,028,635,295,762,567,840,669,352,672,607,083,621,
534,039,756,025,314,568,734,273,949,918,795,411,404,508,178,619,420,187,180,
470,827,052,620,417,846,878,223,735,761,704,366,253,884,083,714,983,473,923,
079,328,286,862,083,737,864,798,805,089,033,669,775,558,277,070,645,805,553,
182,583,920,805,456,497,747,287,995,091,886,253,977,136,197,708,760,105,176,
220,526,587,019,705,739,368,958,389,212,599,449,280,138,372,671,483,016,746,
097,872,246,821,389,975,088,402,592,536,590,638,065,194,777,427,626,597,147,
032,890,042,781,503,415,819,001,033,361,490,001,340,391,715,870,161,057,475,
135,291,338,437,287,041,788,177,487,345,720,425,734,645,418,723,939,991,617,
251,118,784,643,431,864,518,200,869,726,580,890,813,728,477,329,267,375,950,
303,985,678,876,436,875,228,574,029,721,982,967,253,591,726,926,481,165,969,
833,639,617,947,210,860,750,245,579,772,521,926,645,444,036,394,340,899,838,
874,309,449,537,317,072,278,244,634,237,690,277,635,071,983,863,302,873,104,
438,279,451,464,539,597,962,028,359,716,304,990,324,325,376,310,308,994,308,
244,562,600,104,516,786,915,242,200,082,245,347,857,486,495,730,394,248,238,
444,785,308,110,334,147,664,888,705,352,926,198,931,796,329,912,981,578,211,
993,108,262,600,967,591,844,288,314,476,940,049,713,208,025,448,197,043,314,
868,186,392,842,070,402,903,128,459,069,469,990,119,967,118,998,481,495,089,
468,268,247,054,206,285,228,367,101,906,768,953,431,401,144,341,414,647,788,
789,389,234,192,638,494,108,092,414,737,174,431,015,017,238,035,917,921,749,
340,753,685,857,587,572,939,149,497,420,016,660,825,423,949,052,042,372,372,
115,839,972,429,231,452,988,219,112,542,079,145,263,917,940,072,109,713,199,
306,113,711,768,492,982,965,766,857,132,380,209,424,232,443,469,279,967,857,
535,784,218,237,474,017,607,890,238,628,911,638,221,609,498,256,596,566,151,
675,031,638,316,439,788,120,639,468,816,152,324,722,666,360,868,205,304,786,
137,079,696,034,110,458,717,269,285,756,048,892,109,085,075,611,129,443,743,
327,567,111,344,986,028,019,990,520,578,531,731,365,438,279,245,020,464,332,
034,139,785,055,260,722,809,793,958,519,597,284,797,837,701,498,335,359,306,
658,587,621,765,267,550,401,262,779,892,204,483,155,394,286,294,896,444,580,
125,799,213,394,418,444,373,453,945,129,356,013,684,878,263,777,391,377,369,
930,332,733,890,414,595,481,100,170,342,655,952,284,058,358,070,625,500,676,
284,065,184,952,511,802,013,987,108,660,536,304,444,527,919,682,211,383,800,
039,166,314,953,047,814,204,677,266,008,821,886,669,047,323,160,331,337,657,
306,453,608,432,294,795,498,232,449,645,411,853,136,372,369,575,254,383,712,
568,870,432,764,832,178,914,512,584,047,279,030,647,992,069,081,381,541,547,
248,407,647,011,128,399,585,066,098,745,605,124,720,325,104,829,273,553,726,
194,913,842,445,786,662,294,677,084,496,104,835,063,581,151,761,601,840,592,
538,845,738,026,528,658,244,850,989,026,215,827,137,371,590,421,934,774,928,
490,637,316,214,728,471,149,321,307,622,178,510,644,401,040,318,267,391,637,
747,539,714,615,287,092,868,336,904,350,605,583,827,789,298,030,729,129,707,
048,453,897,872,432,067,266,962,534,497,892,139,806,033,246,163,425,974,626,
599,845,229,202,591,766,994,934,544,253,563,107,267,959,915,589,088,316,687,
443,124,942,983,852,823,550,263,037,410,461,159,492,184,274,541,756,136,772,
262,239,313,917,032,032,670,472,298,703,670,075,905,947,520,853,847,676,755,
616,259,522,689,680,641,971,308,387,145,325,368,396,429,711,038,334,017,465,
860,404,007,619,725,237,789,717,870,136,690,357,630,582,795,507,518,477,404,
607,129,087,554,685,581,358,005,795,993,404,538,251,307,710,640,647,596,601,
817,928,463,612,223,045,922,694,116,264,422,166,138,708,379,449,900,133,472,
223,123,456,820,172,795,832,944,490,416,171,418,239,723,739,675,748,883,790,
845,497,299,817,760,555,490,451,389,580,384,023,749,447,103,772,729,864,331,
534,032,689,037,267,679,417,621,791,061,834,114,434,383,940,764,332,207,209,
364,526,110,884,264,904,988,216,704,878,644,240,048,287,565,513,425,333,128,
528,194,849,983,169,012,522,526,199,193,579,009,839,486,519,670,888,695,624,
493,723,240,956,674,399,817,444,569,613,607,195,222,671,792,783,954,589,130,
143,485,805,339,090,519,268,804,718,787,045,313,896,201,075,021,264,763,669,
894,909,350,141,092,819,909,167,527,232,235,335,205,350,427,079,114,292,354,
591,354,037,323,266,147,208,725,838,321,773,306,685,587,372,959,514,502,219,
909,018,622,403,407,164,999,968,211,726,926,427,875,521,486,730,608,346,715,
511,466,380,964,676,567,789,338,250,763,241,634,419,736,317,530,187,124,165,
061,216,198,797,547,862,993,629,215,786,922,494,323,676,534,696,946,846,253,
430,674,569,768,988,073,225,914,318,015,761,150,672,027,504,060,981,620,592,
474,354,347,617,169,822,102,477,921,614,214,218,417,100,283,951,326,457,918,
997,912,485,053,832,852,531,196,093,285,122,888,025,944,459,372,247,586,659,
337,764,850,613,442,719,872,140,353,048,047,594,546,594,666,931,832,698,639,
213,230,989,001,058,300,817,051,886,689,949,679,325,111,337,083,309,051,539,
672,653,178,802,981,343,872,175,795,945,524,188,716,334,034,171,518,089,975,
507,740,091,893,295,082,659,763,381,104,288,851,923,206,693,804,492,721,747,
979,709,822,664,728,906,845,167,741,929,860,444,191,849,889,562,443,762,456,
046,034,477,933,977,972,471,328,018,188,710,895,022,514,004,609,644,476,647,
915,138,140,880,290,788,337,477,021,093,220,780,610,168,148,688,114,603,415,
363,551,283,038,976,362,613,454,878,624,512,642,105,460,398,576,936,094,599,
886,646,788,390,592,879,971,661,633,844,514,691,909,016,218,599,437,223,026,
962,522,528,380,458,403,516,786,083,374,214,202,821,682,789,020,516,282,364,
754,579,157,717,763,266,899,304,233,848,831,762,611,863,861,108,234,352,809,
169,848,054,230,762,026,805,255,397,892,682,246,710,392,427,168,131,425,838,
242,831,801,532,730,605,986,087,999,723,806,559,210,648,495,318,662,262,894,
642,315,745,376,195,906,179,406,968,777,823,402,132,499,008,237,994,294,947,
022,375,973,664,576,327,686,635,011,732,520,556,459,695,039,655,811,376,076,
312,179,461,473,786,257,869,167,110,192,385,676,915,842,192,288,997,618,528,
455,645,815,498,166,145,623,002,519,397,740,886,513,877,950,849,671,636,869,
135,016,501,667,425,855,118,547,732,348,696,995,842,942,514,360,239,603,250,
628,415,886,861,407,029,959,983,307,696,376,956,992,232,682,068,340,440,958,
193,032,339,266,786,711,600,839,142,762,405,636,563,231,108,258,008,148,105,
596,524,554,275,238,570,669,161,194,840,936,010,830,727,802,707,609,115,958,
625,475,248,074,938,665,404,997,087,344,211,205,361,922,906,890,815,439,605,
596,250,478,696,092,862,108,043,719,496,089,983,699,268,682,194,163,830,272,
764,916,190,778,612,439,172,268,289,904,238,665,606,156,846,271,183,856,261,
865,621,863,729,872,152,711,912,509,753,102,682,609,393,692,763,746,480,583,
074,956,088,364,609,857,420,905,304,551,331,487,794,953,920,187,976,388,772,
833,048,485,002,776,158,625,032,697,791,982,893,354,886,996,449,578,372,729,
092,800,249,982,296,231,307,196,643,714,835,152,198,159,925,902,101,485,763,
212,007,009,604,968,880,834,037,931,775,218,509,124,093,750,151,361,746,732,
240,353,271,985,202,482,845,582,257,240,869,197,030,170,318,013,991,729,219,
646,281,031,284,356,128,736,930,202,253,526,789,069,658,993,812,483,564,208,
111,179,783,008,535,412,861,568,254,672,919,781,807,342,610,511,179,560,852,
576,205,694,904,403,665,931,497,017,574,733,575,656,156,442,203,486,990,113,
926,247,422,211,167,686,602,636,941,513,888,617,804,431,682,399,538,427,189,
709,754,831,525,191,194,780,564,275,514,267,387,532,317,569,609,491,627,224,
005,531,806,370,373,819,453,423,998,441,373,463,159,329,541,799,903,490,099,
827,908,939,899,970,898,214,683,468,845,482,930,774,188,872,029,540,562,419,
975,834,546,602,337,538,577,040,508,777,518,057,521,354,842,922,178,900,048,
762,271,739,582,648,961,382,512,519,729,796,461,837,503,393,960,594,913,813,
234,983,622,608,091,234,495,284,204,848,621,794,092,660,342,242,628,096,318,
306,278,135,220,987,594,585,834,003,615,119,592,079,484,419,364,306,291,939,
077,772,515,531,947,488,239,701,052,782,009,278,146,470,357,405,665,292,711,
391,894,242,644,776,060,939,539,037,552,730,205,966,170,390,184,827,077,941,
417,457,971,663,949,512,305,655,551,104,865,726,026,567,813,917,093,797,347,
918,683,934,132,584,758,251,409,809,844,415,988,936,857,112,951,965,276,617,
809,244,870,249,360,297,183,219,777,715,040,492,015,531,883,927,830,603,265,
470,104,913,904,954,035,281,499,688,320,989,711,794,081,993,764,395,261,973,
222,497,213,092,493,499,614,443,875,023,481,748,605,529,320,383,079,450,540,
125,786,857,339,663,559,721,377,308,433,717,556,658,719,288,524,342,677,976,
596,222,272,281,849,477,279,247,599,509,107,561,511,275,464,967,893,201,221,
460,210,232,808,056,332,516,275,472,560,355,499,426,430,899,733,951,842,518,
284,898,670,865,497,564,071,615,028,680,168,241,948,052,284,681,539,759,153,
450,393,988,229,089,047,581,230,256,913,280,153,519,488,232,717,949,445,578,
780,289,728,787,013,489,497,212,599,994,738,269,640,460,218,079,884,866,765,
242,638,295,707,688,429,170,137,427,414,287,082,044,308,933,418,190,097,462,
746,009,612,919,305,066,710,926,851,743,996,001,829,557,192,786,403,509,069,
169,292,139,623,060,384,009,563,348,058,461,316,586,411,301,225,491,741,688,
985,044,249,559,540,192,867,732,665,931,051,297,568,087,613,264,226,180,507,
464,892,598,773,246,340,834,797,093,319,556,289,365,051,344,623,822,233,271,
877,376,875,440,467,531,837,317,844,842,709,903,766,091,719,721,054,813,398,
804,892,951,137,872,231,640,625,585,408,463,459,567,548,051,974,948,985,009,
277,441,438,151,743,118,857,871,184,805,677,801,338,501,753,647,038,087,381,
817,471,055,267,082,723,722,086,141,108,584,271,401,313,533,078,060,361,798,
477,507,827,559,241,633,075,795,394,732,970,573,858,987,674,834,165,905,579,
273,247,064,159,953,349,851,989,089,215,948,049,876,206,318,849,693,126,195,
045,429,998,806,847,341,007,961,908,839,507,059,835,797,023,851,947,298,548,
751,447,097,249,449,636,589,870,159,623,571,020,109,119,491,140,803,484,359,
845,135,507,976,382,314,598,048,737,801,847,937,676,989,420,910,796,441,967,
569,424,501,096,150,272,456,963,514,282,772,573,464,447,532,757,677,069,396,
783,934,319,777,217,813,730,056,364,812,430,182,894,597,406,804,247,986,082,
170,401,233,346,812,731,009,039,291,319,489,789,815,383,929,494,955,367,899,
999,113,892,932,791,665,304,998,783,997,333,565,709,880,063,136,594,282,925,
705,924,511,133,903,873,754,068,793,253,196,824,180,565,947,370,227,899,189,
473,983,130,094,797,146,256,402,204,989,196,294,798,836,606,112,912,557,708,
034,459,706,722,549,124,434,662,518,721,599,153,318,428,924,236,631,511,489,
857,537,998,153,691,638,916,313,536,044,944,805,263,316,034,087,711,629,232,
495,023,044,078,507,264,355,386,225,918,243,917,120,166,536,804,436,655,234,
414,757,138,427,673,420,951,414,197,257,579,480,570,896,833,857,057,578,585,
571,629,255,750,789,864,113,057,669,382,604,987,835,263,499,480,761,529,765,
569,569,872,286,517,557,648,680,172,019,920,757,008,983,673,504,338,656,952,
448,482,058,466,104,355,230,690,776,055,299,433,632,908,891,059,273,754,518,
917,809,253,149,004,398,645,183,179,789,318,572,223,020,129,738,786,601,997,
581,190,841,926,797,516,663,663,171,993,334,476,570,533,473,728,710,228,479,
786,611,737,867,504,236,253,907,202,190,167,956,494,561,915,533,680,751,573,
503,791,787,657,904,060,682,593,755,702,498,990,779,888,575,605,616,897,506,
733,127,429,486,137,872,159,750,907,893,371,494,679,732,291,178,635,390,698,
911,374,041,425,356,003,645,761,398,761,819,379,518,865,532,601,589,493,695,
368,573,030,343,419,198,465,937,017,694,912,624,431,585,819,351,292,639,163,
963,214,819,334,360,319,786,283,698,670,328,533,056,854,346,778,877,574,499,
904,249,731,728,173,629,783,981,458,306,340,093,957,628,772,437,711,475,665,
284,063,472,532,989,652,507,646,352,627,247,225,537,465,634,549,771,262,443,
584,693,121,836,929,649,188,504,053,952,382,931,877,878,769,506,534,385,104,
424,181,401,081,905,471,294,885,844,007,684,293,652,330,757,538,303,070,029,
213,270,791,748,140,350,175,678,641,450,825,152,718,660,736,257,787,978,711,
628,616,463,085,894,021,751,640,731,895,015,527,834,306,837,189,440,340,130,
123,791,935,864,426,253,333,262,127,162,261,192,533,371,664,854,683,472,533,
017,784,606,674,790,181,964,850,260,089,574,451,293,179,175,881,123,583,921,
454,907,976,925,159,278,332,693,759,111,919,344,620,925,066,941,793,673,775,
227,797,008,819,943,152,884,591,910,987,307,873,486,912,845,465,949,099,929,
707,937,842,616,535,450,848,118,001,915,589,528,625,417,143,099,552,171,284,
360,530,557,082,203,297,777,066,256,794,516,394,808,057,084,589,587,814,416,
195,901,649,585,506,653,849,318,760,122,298,170,085,889,984,506,447,664,948,
008,662,598,868,897,876,366,736,960,587,158,297,343,972,930,416,372,163,021,
206,177,602,369,437,610,872,783,234,636,336,007,397,892,138,664,047,399,002,
285,145,751,244,072,557,013,329,811,512,425,255,228,842,689,695,781,677,470,
391,369,668,685,179,066,833,367,569,007,657,967,923,060,394,272,018,926,343,
736,690,052,128,217,064,484,013,021,898,596,941,362,328,940,397,677,463,844,
167,179,517,756,591,301,830,234,792,345,823,927,258,199,233,120,191,867,422,
211,872,599,316,104,968,744,015,967,784,606,937,595,748,522,038,655,056,459,
695,204,520,862,414,287,023,055,203,238,619,521,298,724,200,109,202,175,448,
638,061,095,364,204,823,438,572,728,373,259,997,996,603,995,174,042,968,028,
476,259,707,054,420,057,133,614,464,060,038,967,564,891,864,531,549,084,917,
832,257,336,019,461,188,570,780,010,886,648,553,789,906,434,178,309,278,081,
867,894,182,624,166,633,406,937,449,157,916,112,833,951,742,747,134,454,137,
222,506,278,265,715,489,743,441,006,878,404,225,674,816,456,049,048,254,798,
315,643,821,661,631,221,013,766,261,793,652,816,761,892,430,868,864,062,983,
004,541,683,812,415,742,291,439,395,799,401,399,501,741,124,364,962,984,671,
739,410,303,269,014,134,392,161,231,539,270,245,436,144,793,319,078,141,957,
514,435,328,542,622,034,730,000,457,036,262,338,569,495,536,125,231,111,423,
739,242,845,815,520,527,344,002,209,845,736,267,208,738,659,277,030,513,724,
517,712,718,469,706,537,726,357,178,128,755,954,586,511,873,006,952,343,669,
898,049,304,801,717,750,657,475,927,441,116,278,249,137,446,377,131,808,652,
059,557,540,093,434,259,546,620,537,192,104,465,468,259,127,423,051,999,139,
116,915,361,408,943,297,969,210,027,808,532,946,447,853,270,629,368,836,683,
163,383,427,456,663,021,546,319,567,105,321,718,880,459,474,239,600,588,826,
533,145,209,163,622,746,366,342,492,218,426,049,151,645,954,156,882,915,979,
467,575,663,390,354,395,348,360,620,547,821,557,860,541,641,049,430,521,841,
882,181,342,563,804,005,048,039,759,592,615,917,893,128,339,987,121,576,031,
374,028,026,730,572,214,650,267,721,360,803,233,457,050,194,084,452,725,077,
792,704,915,481,550,697,789,259,923,123,306,085,668,431,922,359,226,511,822,
614,737,231,359,679,034,651,488,410,759,906,127,603,944,129,387,461,208,371,
042,811,248,244,822,788,024,606,904,744,444,595,619,998,322,518,207,743,984,
285,629,692,658,199,072,440,427,952,878,504,624,174,186,392,361,630,371,343,
539,646,152,042,298,349,104,407,935,445,277,355,840,007,653,349,473,669,471,
510,998,426,430,811,787,268,267,809,650,515,469,863,247,509,833,970,640,446,
350,360,611,907,973,350,584,021,863,278,164,002,483,193,213,524,130,584,800,
537,508,889,048,192,552,950,770,797,968,491,425,189,773,327,165,542,147,720,
100,099,805,440,516,626,201,240,999,689,815,957,998,231,442,333,404,639,455,
796,958,412,764,515,772,397,126,830,337,326,114,048,718,536,335,277,673,140,
733,369,763,124,940,106,406,888,906,566,180,688,471,251,239,420,636,326,248,
617,676,530,395,875,182,556,126,540,382,098,811,119,895,930,245,634,456,079,
113,394,105,256,324,050,953,145,716,837,641,773,606,192,859,199,827,356,198,
948,640,967,313,279,642,207,921,885,845,109,775,603,920,026,941,705,833,329,
388,215,135,575,758,265,121,113,161,554,696,567,406,717,532,464,406,943,122,
818,659,161,842,035,711,091,939,771,852,988,951,123,973,419,306,271,785,559,
186,500,529,686,795,534,171,683,729,431,412,970,369,208,315,424,306,845,497,
674,990,277,156,488,749,359,164,781,581,812,845,957,565,842,973,632,285,128,
941,914,386,322,420,774,039,251,754,160,763,514,398,774,746,581,510,760,807,
894,337,005,525,150,243,268,920,453,441,168,689,347,918,460,570,422,135,556,
653,009,462,106,296,905,956,294,365,253,951,200,473,666,549,445,015,517,548,
682,724,600,126,730,391,990,553,739,735,880,267,686,739,941,933,928,287,278,
747,713,758,918,925,390,175,807,019,845,700,912,792,277,730,162,475,742,576,
933,541,743,700,356,399,740,166,525,193,054,184,261,178,700,147,401,352,715,
115,374,821,293,482,560,056,918,811,984,330,392,173,131,824,897,654,156,612,
021,384,817,627,464,271,186,829,622,049,041,201,184,106,755,035,747,009,291,
277,626,252,297,285,199,622,503,883,713,391,216,769,111,480,827,453,511,219,
554,439,524,862,594,790,807,733,602,459,647,023,947,278,089,660,670,280,518,
601,710,805,860,168,962,300,546,239,658,473,519,391,325,777,048,381,022,662,
726,970,925,855,223,737,079,274,144,570,632,120,835,495,045,359,871,712,800,
286,825,907,256,511,739,133,412,658,288,776,782,049,771,734,102,546,873,080,
313,341,347,157,441,534,996,105,752,142,348,144,997,479,581,577,795,511,808,
458,940,287,254,514,008,388,395,646,022,170,925,831,761,839,832,850,800,153,
283,933,607,302,374,391,119,509,437,058,105,803,806,545,939,229,220,370,628,
322,824,727,211,781,984,978,308,964,721,827,343,795,734,669,685,103,417,964,
601,742,418,385,743,420,748,483,071,528,502,043,030,639,367,369,002,311,302,
775,087,759,709,564,461,683,216,673,107,661,368,258,505,345,607,003,686,376,
053,667,518,249,977,116,305,182,407,694,220,619,521,404,558,722,980,929,832,
253,105,412,906,408,779,215,779,599,522,088,842,889,337,533,148,025,091,080,
159,074,110,160,234,281,001,762,685,756,495,182,005,322,243,196,635,940,626,
971,741,453,235,945,551,169,342,090,150,928,113,494,569,039,968,941,319,804,
789,882,201,007,291,739,983,407,699,732,883,867,772,745,477,510,941,049,189,
258,717,860,247,777,366,749,778,712,710,143,273,444,246,260,285,279,646,497,
825,264,806,387,554,497,839,052,496,428,779,875,564,541,139,357,364,402,962,
168,663,229,662,132,906,906,143,643,576,962,780,453,688,219,534,587,852,574,
000,557,363,702,176,765,525,844,164,558,446,775,450,840,543,162,523,037,280,
537,243,319,943,332,410,785,014,687,143,098,051,942,431,829,610,278,201,486,
671,460,454,720,115,441,589,631,132,368,316,477,631,262,900,295,622,542,997,
287,659,534,759,314,017,080,322,152,816,034,628,168,690,891,490,001,927,462,
201,054,579,808,304,083,825,282,985,668,099,374,506,230,560,989,178,663,609,
306,172,664,942,139,345,045,682,891,914,468,640,580,915,526,748,334,639,990,
040,862,819,368,189,766,444,599,620,770,970,246,348,812,117,914,513,206,363,
359,081,380,931,066,815,425,299,861,008,188,457,374,323,991,665,743,766,277,
629,636,239,180,430,458,918,062,505,863,560,205,101,653,937,849,353,032,970,
579,876,330,588,553,320,309,212,833,720,580,964,326,025,941,738,624,535,909,
710,180,796,635,035,628,830,703,852,041,168,784,759,710,232,493,444,286,573,
342,635,388,189,342,825,899,036,194,024,311,918,299,610,181,912,014,377,182,
839,467,414,677,571,523,190,707,064,431,151,649,922,100,197,946,257,823,560,
870,618,543,569,277,750,864,920,580,144,907,019,462,275,908,144,044,430,680,
011,690,871,651,171,598,867,348,040,079,306,548,655,703,446,071,096,242,004,
147,109,120,520,245,048,327,413,688,395,805,789,205,609,139,465,243,904,880,
324,289,071,954,300,407,690,764,170,069,070,279,477,023,009,109,532,545,679,
669,930,332,623,958,074,273,734,076,683,132,522,865,833,738,809,472,681,480,
703,631,701,194,402,874,346,618,311,454,601,055,346,368,306,838,665,668,985,
308,449,974,483,387,624,716,307,823,968,921,049,824,175,824,176,806,607,621,
959,779,881,671,128,772,761,995,536,006,889,107,832,303,979,607,106,495,727,
223,085,313,921,439,251,693,738,858,779,238,859,475,767,808,890,318,216,034,
178,716,668,655,075,602,366,059,241,351,750,967,053,202,252,364,114,418,397,
535,313,048,493,306,136,433,171,841,048,196,316,661,578,897,517,991,741,356,
917,864,062,666,509,014,728,380,624,375,720,553,385,258,500,199,318,359,541,
439,417,525,509,302,955,997,258,236,338,971,625,452,426,253,184,879,057,483,
060,948,410,539,909,632,656,208,729,532,335,469,129,472,289,505,784,616,037,
722,530,006,790,018,306,001,588,217,212,880,613,515,964,710,585,950,962,875,
914,215,377,149,492,341,133,164,177,050,083,656,934,360,143,830,892,131,445,
291,239,317,081,094,906,644,885,587,681,002,358,593,454,154,982,918,427,380,
708,025,983,815,414,261,260,117,468,037,803,491,971,847,194,401,045,467,516,
048,232,700,739,808,571,121,735,108,527,534,827,096,758,334,162,080,781,539,
791,588,885,781,447,619,544,757,740,509,629,274,540,666,457,495,197,770,032,
861,557,360,154,662,637,523,719,230,375,956,164,600,014,631,173,240,246,049,
317,515,306,599,058,238,353,392,332,705,209,361,166,657,210,941,903,134,260,
981,816,906,250,303,754,199,029,308,761,577,046,057,970,659,983,324,756,915,
293,277,064,867,494,089,716,093,682,979,228,371,020,116,209,650,992,818,142,
257,149,228,512,599,227,920,489,850,365,524,754,605,847,615,303,543,812,950,
220,201,746,419,095,493,191,026,662,183,203,042,352,958,518,672,748,195,593,
459,278,211,092,090,084,719,007,494,792,343,546,778,323,789,857,950,054,324,
494,237,092,008,008,598,673,501,681,520,842,175,339,496,120,762,339,985,608,
016,132,622,289,093,074,984,097,011,241,463,988,342,950,435,030,041,594,461,
896,660,187,794,860,375,022,344,385,365,152,049,840,285,085,811,314,338,178,
093,667,130,300,571,318,690,170,003,872,981,540,275,279,061,187,416,502,454,
284,373,134,794,308,414,122,935,801,352,722,702,762,892,635,364,681,149,476,
528,161,359,521,990,863,712,170,728,842,658,226,658,835,710,803,733,109,990,
017,164,661,250,205,068,479,581,538,259,965,457,825,215,359,747,581,300,258,
508,253,300,857,649,158,204,952,033,973,312,112,668,192,649,295,572,277,110,
390,757,396,477,092,865,495,037,640,412,860,248,954,183,508,018,041,211,614,
003,582,346,887,730,358,285,196,461,648,487,382,928,655,596,491,271,180,996,
540,283,824,046,977,031,584,699,916,575,607,637,957,981,834,123,439,132,497,
090,679,371,137,694,672,696,633,054,738,297,946,254,654,361,916,601,830,258,
652,252,340,908,340,412,678,003,509,975,578,304,377,996,644,896,320,075,023,
193,847,510,510,007,915,891,027,587,735,921,774,342,374,227,675,879,844,699,
934,573,297,507,310,752,919,071,658,307,187,518,562,476,295,496,413,188,591,
214,831,128,954,696,336,781,494,429,725,183,285,050,175,388,986,307,146,651,
089,499,032,237,206,198,281,252,952,152,152,421,578,120,330,153,656,365,037,
047,396,023,138,378,793,392,290,910,654,392,985,926,025,614,871,572,371,991,
095,849,999,857,303,725,097,442,946,919,405,868,982,028,667,326,293,467,817,
415,948,325,487,054,055,834,145,875,137,028,273,596,405,639,123,882,304,366,
562,273,616,707,556,461,163,566,196,908,548,398,770,928,944,030,442,053,485,
596,645,549,516,890,191,878,679,127,031,315,291,530,187,240,586,503,595,820,
337,972,660,207,735,413,309,789,294,750,400,037,364,780,713,698,657,667,551,
105,978,616,580,306,972,983,828,265,735,130,030,717,753,214,374,965,828,750,
706,044,219,244,580,477,705,992,457,287,800,534,974,973,959,416,117,760,100,
105,083,533,872,339,156,168,506,141,141,716,104,829,220,091,975,854,658,552,
625,417,055,730,730,721,498,734,991,516,406,448,936,123,032,056,498,393,789,
500,327,568,635,082,434,615,638,601,269,641,514,083,683,635,772,978,277,981,
355,281,730,052,234,903,244,893,893,109,478,052,586,530,638,684,808,729,798,
932,668,295,623,221,482,524,765,186,891,739,028,473,231,018,885,778,238,210,
472,296,145,711,556,432,795,756,836,566,914,024,673,926,249,460,741,297,457,
217,888,388,256,473,151,555,922,736,656,631,665,824,248,799,927,744,290,900,
607,991,489,495,567,368,743,419,302,013,450,049,344,951,035,936,128,878,717,
296,642,794,544,623,497,516,061,682,522,793,611,194,897,793,935,858,040,648,
197,799,655,996,357,541,715,800,926,324,859,471,008,674,414,881,419,881,344,
313,955,807,869,445,792,926,919,610,222,026,756,255,944,776,563,637,859,105,
599,238,150,126,739,751,787,467,715,950,566,273,843,236,449,248,787,287,140,
024,910,806,246,590,102,669,989,842,453,211,768,322,583,805,008,370,190,558,
109,833,421,386,786,464,971,593,851,111,048,901,883,890,255,836,654,511,845,
632,726,648,493,050,727,318,306,956,032,627,910,981,898,026,862,990,360,020,
014,012,239,097,332,683,812,244,559,398,151,573,314,936,286,377,807,704,922,
499,945,986,830,646,833,340,042,683,057,009,118,743,902,124,651,939,828,553,
571,773,705,915,437,283,636,216,891,319,756,885,434,339,831,372,072,156,905,
608,134,926,814,313,030,576,888,999,846,320,028,081,469,999,469,072,052,047,
801,082,740,770,287,456,332,571,811,441,400,344,223,924,419,469,271,140,291,
641,586,389,350,442,761,089,565,299,806,264,191,221,641,026,711,208,142,445,
326,048,170,475,688,994,522,926,432,955,020,685,278,835,067,378,099,823,110,
151,496,635,391,334,489,033,503,872,358,735,855,539,537,416,237,643,937,768,
154,066,182,918,518,144,808,966,376,615,215,775,596,909,539,552,861,068,241,
379,136,588,113,874,959,085,523,180,302,375,804,387,163,926,174,769,687,997,
531,704,862,823,815,070,266,148,221,140,925,719,560,811,877,771,104,325,404,
916,610,199,849,940,231,494,900,754,417,902,007,943,790,023,101,151,917,965,
346,611,014,085,239,412,432,465,920,745,676,759,744,219,327,746,270,217,380,
197,747,605,774,436,226,230,979,854,377,893,439,286,887,478,817,362,963,555,
496,370,287,373,636,945,857,020,927,534,345,898,679,980,221,509,112,967,099,
700,681,279,101,590,560,594,287,447,459,295,668,135,984,476,512,379,205,175,
353,225,382,275,043,214,004,423,542,425,616,454,220,425,490,606,149,807,619,
011,714,528,521,989,135,776,285,273,251,823,996,412,049,877,970,299,947,931,
814,912,261,629,737,098,516,501,933,343,792,578,156,038,280,708,897,398,350,
484,291,816,876,807,187,584,746,393,666,892,161,478,835,769,715,837,095,766,
385,589,925,268,281,741,610,072,386,016,915,458,918,636,778,268,568,445,296,
188,458,103,806,982,167,247,787,233,052,373,466,295,170,332,680,873,348,032,
401,155,244,328,801,858,667,651,518,401,469,545,551,533,922,448,481,111,369,
422,094,471,647,482,068,192,802,595,526,244,095,052,940,545,668,131,952,276,
813,650,497,868,783,866,388,048,352,355,210,340,516,082,210,633,553,280,238,
816,884,117,507,924,352,982,285,270,174,014,737,675,323,186,414,235,475,733,
694,735,599,830,599,039,711,699,076,862,239,759,749,669,063,734,072,908,188,
373,628,326,049,918,489,552,690,720,725,963,096,955,725,292,728,518,819,703,
021,852,769,110,180,417,179,567,358,453,814,541,527,170,041,579,758,188,321,
334,604,203,685,703,539,388,481,687,569,480,355,256,222,128,625,228,179,103,
369,634,102,853,791,023,344,082,768,597,338,226,764,784,976,737,518,891,706,
468,680,518,012,206,602,674,019,694,443,301,915,136,769,960,306,841,035,384,
290,827,974,313,818,635,493,155,626,028,399,934,366,191,609,667,711,928,692,
877,428,062,974,519,193,672,649,694,944,355,106,738,307,418,410,323,128,521,
495,218,402,426,892,345,908,885,714,477,247,025,664,859,659,722,680,027,780,
453,928,797,877,862,821,092,257,889,966,056,355,660,791,983,082,647,764,650,
143,841,700,203,767,745,946,462,191,434,397,632,087,496,636,603,067,674,040,
827,072,774,624,163,938,164,666,691,420,567,242,232,218,208,175,410,308,929,
125,141,552,197,637,515,611,557,654,430,107,370,750,475,560,544,047,516,956,
650,734,288,240,651,636,110,989,014,158,049,592,569,597,133,791,705,780,613,
709,674,328,853,541,094,329,336,741,308,893,513,780,837,628,604,887,452,271,
639,148,299,195,554,303,325,270,845,300,923,870,295,013,382,563,608,239,568,
658,077,581,122,638,876,725,683,245,447,257,429,035,145,509,604,196,452,988,
707,241,977,893,042,719,680,784,977,344,619,339,516,052,251,253,370,945,176,
762,414,857,760,315,308,087,517,979,085,896,006,746,186,372,576,696,071,119,
501,716,334,481,525,103,875,770,271,273,915,518,529,746,081,017,809,516,609,
501,542,016,288,674,359,184,106,791,637,157,431,560,598,096,642,940,704,785,
433,538,989,136,672,016,412,716,141,310,554,452,974,143,609,805,991,671,183,
428,457,961,000,333,587,989,150,870,017,277,956,903,181,529,192,510,697,354,
070,498,227,057,375,394,814,139,649,914,025,102,158,216,515,442,596,778,470,
866,179,386,052,516,878,170,613,238,404,878,400,653,593,586,788,330,080,751,
622,931,189,311,283,957,969,896,507,707,760,435,863,820,558,972,374,802,867,
076,696,174,615,397,822,515,556,761,169,348,170,644,913,245,100,287,814,944,
260,926,761,273,754,197,139,340,490,156,492,174,326,133,989,682,700,528,181,
671,938,700,506,444,835,848,962,621,289,588,660,803,342,109,845,571,330,340,
050,743,244,901,049,649,804,284,575,896,501,199,962,615,291,204,098,050,650,
444,999,591,148,620,191,821,424,153,296,359,284,277,637,786,783,058,081,365,
259,079,216,535,529,347,817,138,432,252,287,010,493,083,510,821,460,246,498,
849,987,926,035,471,161,957,554,292,266,428,748,755,377,749,654,959,853,359,
690,409,310,128,525,448,191,838,769,937,228,932,791,913,911,181,656,420,076,
914,054,538,549,341,834,554,725,618,221,082,807,749,368,172,339,222,686,180,
468,881,824,686,088,453,775,874,304,341,295,345,623,442,286,451,773,979,167,
495,243,910,219,654,714,508,156,118,477,788,897,176,317,433,596,547,373,194,
243,781,007,186,759,135,443,890,973,322,305,089,680,351,804,498,480,949,704,
382,300,577,646,969,165,690,566,415,696,515,489,989,856,508,217,687,784,013,
347,290,551,064,619,236,942,955,747,186,795,977,872,335,323,117,249,976,915,
528,626,023,350,441,215,494,783,733,187,867,531,871,717,144,972,961,316,150,
905,632,375,337,849,293,182,210,386,924,675,055,523,168,973,020,951,262,688,
445,457,066,370,717,615,418,459,945,038,049,431,795,085,696,807,486,417,558,
129,797,200,465,171,578,476,455,595,651,507,665,445,607,898,518,808,576,763,
026,367,440,139,986,420,385,372,047,524,380,061,536,765,550,265,894,887,506,
289,224,574,721,415,777,286,872,771,167,112,517,776,703,814,247,565,344,255,
268,725,613,534,328,892,822,356,720,746,932,438,535,344,004,419,428,043,096,
032,499,959,300,408,894,039,589,677,585,473,182,261,513,044,041,364,703,597,
003,591,186,942,522,282,632,307,777,746,450,322,350,372,076,796,049,442,441,
900,460,700,665,392,068,195,073,296,715,616,144,665,202,899,695,746,919,075,
434,639,434,796,760,220,427,456,834,019,162,175,725,132,173,967,987,826,342,
941,182,052,783,969,295,951,929,576,552,065,428,264,521,109,561,760,666,773,
537,705,269,414,930,533,805,895,118,889,690,760,553,927,902,258,325,983,444,
491,687,377,023,036,456,285,542,500,502,982,435,847,250,363,064,088,156,164,
693,152,517,861,538,370,471,063,786,114,874,169,653,974,081,595,473,798,955,
605,035,517,996,728,311,617,860,588,165,332,534,958,205,881,982,659,904,449,
337,155,260,338,038,828,463,708,466,511,006,579,891,515,779,437,491,869,193,
359,175,475,290,564,161,265,916,680,628,702,343,776,369,931,203,475,717,263,
992,780,055,296,115,248,173,627,619,612,753,961,568,055,977,451,786,813,399,
753,343,435,835,035,254,023,760,369,252,702,880,360,986,018,906,136,220,980,
199,281,766,179,136,038,206,835,903,404,591,573,434,027,252,864,675,765,517,
532,060,219,002,623,184,722,841,492,782,541,080,376,273,453,146,036,023,092,
074,144,914,594,918,135,958,679,973,832,954,432,928,762,467,481,084,365,213,
012,960,363,923,722,926,149,273,514,313,016,372,138,779,731,341,963,048,716,
253,265,906,093,235,050,565,078,012,354,716,203,850,948,839,344,029,690,327,
671,260,695,562,523,438,501,429,702,832,862,392,702,595,275,759,871,703,716,
892,386,357,471,765,112,808,760,295,831,032,659,229,438,309,420,487,292,870,
732,867,328,926,089,804,285,866,831,599,311,605,374,564,011,985,921,284,081,
027,331,568,181,612,799,699,473,146,487,147,154,470,735,503,180,203,002,175,
449,213,964,026,606,924,996,795,714,750,815,019,889,362,600,318,819,296,053,
805,115,443,468,289,611,018,192,816,481,123,701,462,591,113,681,876,389,835,
904,139,261,991,186,762,310,002,512,981,501,239,470,441,169,406,699,356,022,
767,333,215,468,152,052,419,511,404,453,737,594,042,402,682,183,378,221,135,
026,514,163,687,957,367,196,010,329,658,973,502,248,480,402,563,116,950,154,
358,024,426,372,340,706,337,802,414,193,934,025,595,905,745,651,077,215,343,
895,346,109,504,916,016,546,868,872,264,634,929,096,243,748,767,114,735,164,
315,257,454,357,467,113,884,350,977,964,419,892,220,799,311,035,490,133,591,
694,225,617,688,780,078,529,152,268,375,458,749,964,608,693,222,265,579,721,
572,583,192,722,454,800,696,758,548,252,784,114,652,018,719,505,439,464,582,
581,149,981,400,160,521,459,415,242,108,934,811,112,683,047,179,449,639,049,
584,696,676,377,379,081,956,031,968,301,145,063,255,903,782,319,446,225,371,
515,933,524,502,789,958,844,886,331,003,410,694,411,643,731,056,584,882,576,
455,349,641,036,188,039,936,860,442,309,866,030,784,797,533,387,556,033,088,
155,944,175,001,270,482,274,071,780,747,618,797,396,973,292,147,494,143,619,
427,332,328,015,693,860,730,908,311,052,010,956,068,870,264,903,376,750,457,
507,532,523,304,171,551,457,863,613,155,850,890,387,146,537,263,288,836,087,
052,037,567,716,719,250,532,097,524,007,086,643,627,049,113,374,097,341,089,
174,427,051,641,594,076,520,273,682,283,159,424,578,588,386,596,124,842,909,
334,101,891,503,462,079,468,896,229,396,008,349,930,117,936,815,105,659,272,
449,075,228,050,626,720,558,089,347,712,843,315,860,053,252,365,320,127,444,
112,895,795,796,433,470,008,821,561,475,372,337,678,126,626,783,740,551,429,
840,763,085,937,031,534,042,678,817,111,657,561,391,527,125,837,122,693,718,
057,864,899,098,448,302,760,824,794,508,886,251,083,836,389,774,647,885,829,
966,927,502,482,150,988,150,409,756,911,729,985,352,835,394,615,100,381,172,
488,194,600,529,050,667,297,466,904,515,196,631,164,222,832,009,985,535,058,
438,252,938,670,872,006,436,911,075,651,487,244,975,530,996,667,657,475,637,
764,267,366,615,341,873,460,682,257,702,596,432,444,746,216,855,661,064,784,
295,172,055,660,690,753,055,166,819,219,126,539,703,029,651,812,988,873,971,
290,137,781,527,127,274,408,766,913,594,109,328,804,439,815,545,847,717,044,
487,845,800,399,933,284,183,391,555,333,440,776,927,250,885,255,668,724,400,
874,919,900,703,827,475,156,940,916,263,267,643,968,346,620,208,048,237,072,
367,021,758,125,863,981,660,932,464,623,686,655,349,136,799,952,571,611,513,
994,493,968,372,432,166,157,813,727,648,466,402,241,672,819,395,462,578,103,
846,446,418,446,677,905,684,839,820,994,438,628,094,954,672,834,774,180,320,
900,226,303,384,259,771,066,272,812,998,191,948,481,625,945,087,320,469,032,
452,414,100,413,547,182,643,304,492,483,006,026,045,000,239,706,586,226,217,
668,365,556,867,112,038,457,387,989,564,227,885,504,082,232,560,350,481,544,
295,195,285,895,015,495,498,777,307,304,346,481,929,204,855,632,357,246,632,
540,208,223,268,536,798,237,047,639,865,785,767,478,371,925,648,510,931,734,
103,344,138,395,591,509,079,985,265,062,331,460,975,746,549,663,043,967,357,
167,819,379,930,946,830,299,708,883,190,689,235,544,163,105,808,279,548,341,
250,433,808,683,709,557,400,884,694,053,049,409,094,460,102,911,368,361,189,
516,710,429,313,606,393,026,641,358,313,971,808,649,161,076,886,927,085,867,
994,124,439,491,913,998,491,824,664,288,188,108,014,977,425,649,897,862,450,
983,462,570,253,584,541,141,714,619,553,651,816,531,844,115,566,541,099,567,
242,351,943,253,441,769,071,709,306,101,636,866,555,645,326,091,487,445,315,
785,258,894,549,451,481,142,057,911,812,015,229,501,477,898,395,843,998,063,
602,257,465,422,124,191,628,849,192,464,827,426,111,343,978,572,935,279,232,
373,850,446,115,150,342,980,902,648,761,727,549,392,770,325,662,069,910,302,
093,184,580,995,126,582,784,502,424,635,237,287,553,809,044,154,284,981,912,
907,602,674,906,708,812,801,993,412,381,888,269,523,893,142,229,121,429,861,
178,699,148,187,174,651,351,011,616,489,728,428,138,552,233,582,030,058,612,
542,666,412,087,746,649,225,975,849,464,194,753,700,798,713,998,639,951,057,
722,413,500,628,214,838,628,632,636,529,084,281,279,832,513,386,050,654,664,
230,827,957,165,687,952,776,281,390,363,956,385,135,292,799,819,006,512,852,
788,367,971,311,979,575,294,528,385,911,879,055,683,509,219,159,507,496,232,
898,299,141,563,770,398,886,770,106,573,891,814,097,228,549,896,319,988,443,
442,762,876,048,488,937,041,405,629,147,721,476,617,770,814,205,502,311,227,
947,363,787,145,721,952,657,706,521,326,478,947,823,664,969,319,660,519,309,
032,443,260,561,273,997,333,625,379,788,610,265,870,835,093,316,946,543,397,
976,010,679,978,062,801,213,810,050,242,167,048,327,044,233,854,557,434,643,
329,669,291,262,758,038,411,006,308,243,511,494,444,249,350,940,529,249,291,
625,734,624,647,344,621,465,275,441,179,501,609,326,716,000,265,865,465,648,
988,196,553,601,326,355,974,971,285,719,572,667,965,203,353,814,179,855,406,
049,370,293,407,358,454,800,518,853,171,833,547,859,196,529,056,562,072,599,
847,168,847,867,089,273,424,450,943,661,885,204,484,261,972,061,088,932,647,
173,318,546,133,654,455,051,010,672,440,770,281,641,491,765,918,520,435,628,
441,519,411,544,762,422,007,890,703,154,106,731,661,070,451,280,584,187,380,
215,263,526,215,049,236,486,302,515,598,072,301,995,383,617,192,564,932,742,
258,274,551,702,731,892,245,418,734,810,095,402,215,438,440,733,413,861,012,
042,096,397,069,382,266,461,469,159,060,425,871,754,228,607,787,315,500,018,
873,529,432,099,942,931,815,024,784,817,574,980,925,044,913,857,851,726,906,
245,428,976,809,378,794,584,825,029,068,807,935,085,432,668,394,464,935,041,
726,251,015,305,830,227,758,805,674,234,670,809,734,273,856,914,242,413,588,
743,727,504,028,197,123,380,548,772,033,471,915,554,679,355,852,217,592,865,
075,804,652,915,322,041,189,732,452,273,306,241,886,779,749,369,382,307,179,
329,499,300,858,855,107,399,187,109,533,448,766,981,504,546,971,583,016,388,
625,994,494,027,154,053,422,642,164,024,555,315,680,566,956,256,302,983,099,
994,475,234,938,045,650,771,245,319,576,571,415,238,600,051,962,197,368,654,
661,934,628,973,234,221,763,329,069,697,957,406,366,110,792,345,724,539,744,
027,120,418,893,075,215,123,900,535,076,950,658,955,312,325,910,669,134,067,
795,490,482,452,942,760,995,881,443,071,912,851,027,365,867,929,733,095,188,
338,135,030,701,692,670,145,375,461,544,524,594,407,659,285,224,426,788,662,
951,933,559,830,073,634,564,897,497,541,762,499,167,948,327,919,318,345,894,
945,970,047,224,518,234,290,292,122,270,358,350,806,872,959,753,185,785,899,
772,590,172,218,555,512,205,006,796,852,618,360,476,313,629,942,332,702,953,
217,680,936,358,906,213,272,957,423,041,427,030,499,274,974,030,804,169,894,
041,484,825,896,059,302,299,892,449,185,468,228,374,468,002,912,418,991,989,
496,441,091,121,578,557,624,839,226,636,845,134,049,139,934,933,256,830,127,
401,946,523,389,340,476,774,028,689,000,477,784,921,961,421,891,788,415,633,
301,657,916,114,399,460,938,817,249,499,949,674,340,028,442,582,196,437,026,
600,428,573,743,263,336,437,370,148,777,807,380,817,612,748,692,573,744,279,
137,327,607,306,483,105,339,515,319,507,301,126,116,194,013,341,855,163,195,
260,522,601,607,597,141,353,486,301,390,169,265,638,443,023,296,938,113,830,
643,218,918,329,497,957,248,441,938,611,276,562,066,114,034,478,830,559,790,
049,964,533,084,452,297,515,622,799,954,994,558,456,498,932,247,651,409,113,
673,972,120,311,735,015,650,474,520,065,170,977,089,005,886,794,175,513,859,
623,878,138,257,116,575,489,778,781,623,724,105,720,810,837,586,888,624,431,
839,351,693,383,698,105,478,611,308,142,631,760,011,598,410,630,770,158,587,
637,945,423,915,341,404,920,362,658,914,968,652,890,913,816,909,415,534,592,
947,868,009,119,783,469,602,383,528,880,891,085,868,220,165,509,015,407,795,
833,502,357,649,332,372,898,652,495,997,462,630,122,200,890,312,891,058,022,
691,165,993,700,800,617,268,188,787,715,421,133,672,392,083,205,236,015,342,
593,318,420,033,650,110,727,936,079,008,092,549,545,960,701,762,677,599,423,
627,711,882,641,998,839,491,515,709,256,673,339,941,398,474,515,190,442,931,
831,438,142,915,773,781,882,376,658,427,929,064,094,544,092,463,446,684,215,
559,366,386,062,234,416,360,003,961,198,815,834,819,137,073,284,897,069,771,
462,842,345,416,851,746,637,487,992,243,758,593,884,500,065,939,337,969,838,
037,340,115,894,372,728,835,375,541,912,693,629,175,140,682,968,148,346,593,
081,009,700,179,973,087,504,305,897,939,831,751,016,399,612,599,076,046,274,
619,065,268,446,157,335,016,718,557,396,039,651,910,872,595,345,910,039,181,
638,629,602,361,655,590,541,708,792,468,884,244,841,651,416,185,274,496,119,
125,700,325,823,976,827,855,405,214,100,714,164,021,828,511,458,358,882,788,
750,505,949,976,187,194,216,214,514,097,476,255,252,201,566,755,624,013,504,
714,821,059,507,114,955,684,986,494,390,433,029,954,038,569,397,649,627,154,
480,397,496,795,154,469,559,848,919,194,696,895,044,607,987,643,470,813,680,
424,307,066,988,696,109,635,712,116,207,965,339,037,468,592,777,180,146,125,
492,854,227,492,247,100,854,707,143,271,390,811,957,070,568,253,659,264,634,
953,542,480,725,204,105,883,959,674,287,211,236,192,159,442,074,875,436,039,
979,880,167,968,577,759,948,943,142,938,383,067,835,313,284,949,355,652,782,
831,923,003,897,999,689,466,540,091,818,300,231,405,149,762,648,295,216,837,
188,992,305,107,261,413,177,720,165,752,152,145,122,926,066,543,447,941,280,
930,680,544,889,758,383,861,847,949,302,419,244,837,949,900,179,522,832,931,
402,842,443,187,478,536,926,444,795,100,893,797,380,581,789,998,825,938,692,
574,794,545,374,494,533,235,595,590,537,482,635,713,077,768,385,845,495,884,
014,790,999,037,449,695,809,784,572,424,428,112,567,534,302,229,909,828,717,
246,990,895,466,366,050,138,212,920,800,477,273,969,051,337,461,214,858,180,
822,650,615,533,375,597,405,196,041,896,957,158,612,757,259,222,685,828,910,
033,474,549,419,044,203,083,708,954,358,608,550,856,138,401,632,297,504,183,
523,297,807,021,462,516,290,048,137,964,403,801,438,353,240,482,911,719,888,
250,059,926,267,433,304,419,419,256,199,805,955,814,033,590,289,577,685,094,
428,611,255,474,321,906,452,088,157,206,233,528,562,208,502,770,578,932,625,
566,500,646,081,827,855,691,771,822,738,468,018,611,568,347,146,531,026,008,
848,770,027,958,919,647,505,885,533,558,983,178,151,036,573,235,944,524,051,
939,616,907,771,080,298,360,055,404,336,310,314,997,620,521,488,166,266,108,
630,486,235,207,307,008,507,897,324,773,652,907,411,000,225,980,011,695,666,
098,059,190,244,346,164,376,107,406,472,006,375,954,565,247,235,039,667,843,
443,115,029,870,919,678,447,842,985,620,487,761,440,583,622,648,969,412,500,
834,779,661,457,895,321,457,311,783,696,312,302,645,827,851,123,752,610,287,
043,839,556,931,861,516,375,792,901,147,678,974,420,840,353,350,789,186,551,
967,055,502,857,375,952,182,280,107,385,540,184,261,173,964,769,375,434,578,
637,990,341,592,083,424,462,316,756,149,568,237,175,434,081,693,122,822,558,
266,382,615,473,071,484,021,574,276,620,465,620,140,133,753,738,973,657,696,
810,901,735,921,766,336,042,972,236,927,885,404,843,570,252,209,920,266,859,
291,115,113,068,580,559,879,456,807,257,039,384,275,523,427,819,107,093,146,
251,266,452,206,734,593,541,422,704,505,086,211,255,062,554,464,160,908,185,
912,257,410,659,847,094,770,108,496,781,565,977,319,266,624,614,632,999,927,
487,880,246,548,793,655,928,420,687,637,344,070,021,684,413,413,528,487,845,
036,050,632,417,440,661,688,087,037,749,623,199,171,337,521,964,206,880,359,
319,049,849,462,850,297,290,389,923,083,390,801,815,274,707,623,941,265,652,
540,359,934,959,902,949,959,188,697,384,332,260,538,071,154,010,072,525,203,
309,024,210,253,411,315,523,034,015,936,865,140,328,571,428,704,733,568,995,
273,773,024,124,968,523,825,573,077,476,706,528,639,413,669,171,093,258,541,
777,114,376,097,373,764,761,941,513,367,187,413,918,391,682,993,534,167,068,
745,873,725,549,587,035,090,968,565,071,640,476,363,162,543,041,863,285,136,
458,848,688,641,771,704,924,334,720,908,145,792,008,819,570,272,813,668,886,
643,474,324,522,683,452,708,812,534,516,699,009,881,847,419,113,557,245,533,
232,229,540,099,123,945,534,754,373,446,456,148,769,087,763,456,497,233,401,
031,070,208,539,990,890,278,663,710,392,302,802,376,070,525,394,996,169,931,
440,654,386,900,772,633,732,909,977,099,859,218,969,941,736,683,214,034,705,
036,979,759,434,984,854,981,183,834,967,181,294,562,616,164,310,712,547,711,
109,201,255,190,591,404,740,991,958,758,472,515,826,417,925,269,677,291,070,
539,356,112,206,318,345,235,453,530,439,604,918,679,380,301,701,276,125,423,
099,287,784,896,726,204,945,378,612,266,841,950,745,599,324,797,103,879,821,
312,907,013,309,220,141,505,242,714,653,491,866,928,995,155,915,005,442,834,
502,211,297,327,588,876,630,565,658,586,864,109,087,296,892,312,062,182,813,
818,599,589,569,949,379,122,144,701,418,591,748,935,449,799,277,321,275,791,
854,757,077,803,761,946,132,793,987,467,927,255,282,530,811,844,511,843,337,
178,053,948,775,793,718,716,323,954,282,287,837,161,728,924,301,548,099,109,
074,645,352,144,174,900,386,582,319,178,297,335,089,184,117,061,073,027,725,
108,789,053,496,139,610,583,969,083,506,181,519,486,499,887,214,389,386,907,
717,959,151,619,385,957,824,296,684,038,242,256,938,452,097,380,673,182,035,
421,976,079,973,967,538,132,493,357,307,580,712,189,207,725,851,975,903,056,
847,695,639,841,546,034,483,868,625,106,247,445,039,573,327,479,796,458,448,
567,359,163,072,476,562,483,451,125,016,097,218,609,059,001,807,520,631,734,
730,117,690,270,317,285,316,074,019,337,472,438,724,929,285,389,212,993,112,
258,744,234,684,228,776,564,736,995,490,193,687,831,024,434,712,963,567,474,
506,195,551,528,749,242,383,236,559,905,943,528,195,264,079,537,539,557,852,
622,684,754,998,925,971,905,260,109,702,806,736,680,476,029,902,969,057,449,
268,250,467,573,618,671,187,943,972,462,105,765,154,843,875,937,746,909,308,
663,712,617,015,005,809,079,460,766,332,974,493,659,341,820,757,849,816,139,
002,976,839,412,798,197,646,148,604,812,796,350,577,830,227,736,216,646,120,
150,737,129,941,520,031,257,923,591,690,743,337,748,163,110,841,419,622,498,
894,960,316,749,264,582,248,905,879,368,005,494,532,398,306,504,957,591,751,
699,727,150,338,881,562,495,380,102,013,856,785,530,093,355,427,493,768,811,
759,537,625,626,921,198,055,256,474,739,109,527,140,223,985,844,854,980,090,
132,640,397,165,426,322,932,427,277,347,678,997,832,288,655,728,911,049,665,
388,928,464,571,238,367,099,464,708,657,162,575,852,597,697,121,370,419,717,
487,865,376,445,551,292,822,403,534,243,669,879,424,155,664,296,204,881,127,
008,375,338,955,180,249,400,182,042,447,530,343,368,974,771,702,496,763,893,
284,059,329,763,025,386,777,516,391,980,398,138,624,400,416,023,981,198,857,
404,668,141,436,620,767,321,448,556,151,629,477,216,728,525,149,076,878,437,
212,636,885,599,317,806,158,481,670,772,318,197,055,839,303,572,683,797,007,
120,436,200,592,685,031,223,560,316,863,015,224,041,400,496,567,543,774,724,
371,634,401,313,864,462,806,774,540,786,710,780,734,209,120,778,167,428,458,
285,108,763,531,992,888,716,358,529,392,261,434,173,393,975,386,847,038,337,
304,404,107,839,309,694,534,276,294,487,041,796,160,969,872,608,617,862,151,
144,095,090,395,015,037,062,224,629,305,699,088,362,520,580,047,221,964,448,
178,723,634,236,118,382,421,282,404,186,052,085,059,199,007,630,139,886,200,
472,379,158,040,787,233,660,010,099,814,739,263,923,902,805,419,497,587,972,
372,031,163,276,188,294,280,364,785,215,283,706,858,078,084,704,191,660,632,
801,643,105,202,482,233,290,272,516,705,770,647,679,689,303,448,502,318,648,
656,583,205,772,084,525,603,908,332,353,381,711,576,606,871,737,570,022,506,
525,417,814,739,937,867,107,323,807,286,004,225,950,695,866,390,509,300,285,
361,013,900,687,256,732,115,368,953,888,911,500,614,035,711,969,631,653,442,
743,069,654,070,090,181,637,442,409,421,827,126,814,994,885,288,865,822,967,
253,326,961,073,058,146,213,662,314,667,877,908,355,332,157,733,652,852,112,
129,229,998,651,080,441,019,117,740,037,472,499,664,143,417,877,516,295,214,
868,901,386,598,597,168,623,661,475,131,766,447,282,981,571,584,919,802,711,
174,712,626,124,751,993,405,626,330,524,821,842,453,022,318,746,350,067,801,
410,012,091,734,994,016,452,042,144,004,461,198,154,379,022,221,605,522,268,
622,642,685,020,872,879,362,465,533,612,743,927,714,878,112,567,731,612,135,
856,130,812,400,610,251,226,272,768,925,647,293,506,825,891,075,637,277,269,
058,408,288,614,497,717,752,243,216,445,868,880,180,190,092,993,761,251,230,
439,334,440,208,986,965,266,399,416,792,495,525,798,817,703,709,906,192,126,
277,946,443,128,676,893,067,571,475,644,976,207,528,790,005,149,254,887,950,
832,885,933,012,424,972,366,582,282,591,654,923,052,005,661,964,277,315,038,
976,866,662,213,844,893,323,161,420,301,045,252,216,643,214,112,565,094,521,
696,481,473,053,976,716,704,044,962,590,523,577,013,943,368,661,831,140,472,
052,662,062,160,923,857,000,642,589,241,569,726,621,421,326,077,783,208,644,
200,761,671,709,747,293,251,253,394,827,384,071,678,184,964,245,130,270,225,
630,552,600,062,519,577,203,106,086,479,926,830,727,720,690,469,348,321,827,
879,044,701,003,057,838,787,624,150,905,906,632,930,065,913,056,998,227,952,
141,112,746,071,020,927,783,133,808,867,986,862,079,695,391,159,641,233,604,
694,959,954,725,108,929,211,340,159,819,467,622,950,309,026,815,585,148,327,
928,718,859,141,995,851,575,960,823,852,075,035,975,992,939,719,420,336,184,
797,391,471,334,204,738,336,205,366,840,310,727,825,407,930,303,192,963,415,
777,101,438,230,972,887,605,350,414,172,737,428,412,142,270,931,895,848,892,
584,869,959,069,878,675,633,907,955,202,676,188,059,480,806,314,062,878,950,
889,750,693,102,768,862,551,865,821,093,240,593,680,307,528,294,742,537,872,
263,154,627,984,737,730,824,757,150,572,488,026,536,003,626,680,765,137,690,
965,803,500,809,212,323,090,256,218,361,272,263,547,105,700,740,308,896,073,
489,108,552,599,148,956,245,288,474,229,036,888,118,522,681,293,014,638,761,
005,955,749,624,190,863,076,346,714,763,232,232,721,079,800,867,228,369,411,
874,109,932,005,946,817,753,028,239,817,641,043,345,135,331,873,235,814,090,
288,861,822,473,617,972,111,529,676,216,356,480,237,380,234,003,384,858,421,
045,916,721,519,240,230,223,829,478,893,183,054,296,592,955,080,727,151,341,
248,141,130,752,011,267,628,625,817,448,338,397,448,534,027,728,588,776,249,
585,750,792,826,607,976,517,654,901,743,222,971,771,831,238,205,700,473,262,
292,354,182,976,729,349,451,954,540,964,369,067,069,443,730,520,784,443,713,
886,148,412,403,402,914,889,480,377,754,229,562,545,226,279,626,013,168,181,
771,618,401,106,883,464,523,090,811,813,076,794,029,917,170,261,640,047,575,
737,480,495,996,053,602,760,346,040,230,876,711,095,318,157,737,604,720,695,
263,272,307,759,853,399,353,044,902,474,457,024,813,544,935,800,464,545,457,
870,868,275,435,607,918,784,570,566,145,573,181,702,404,169,941,570,500,788,
331,596,005,662,146,107,804,877,390,751,414,531,867,161,589,397,147,799,657,
427,659,697,118,964,714,267,543,027,994,784,228,583,669,091,606,013,969,153,
827,106,290,939,243,207,969,634,157,177,186,252,219,699,490,193,809,309,698,
937,344,930,450,580,137,995,354,993,510,821,520,182,392,291,484,329,519,622,
877,089,557,052,009,140,305,727,121,097,632,607,713,303,869,341,405,922,445,
000,512,180,996,910,930,765,776,834,495,998,838,355,138,302,157,461,795,673,
112,831,106,931,469,259,778,733,003,725,270,510,129,389,736,206,715,704,583,
538,503,937,804,435,194,867,704,100,746,724,454,038,533,623,401,106,874,061,
478,886,226,436,618,297,692,133,424,067,203,912,032,575,545,620,813,844,992,
682,096,623,295,559,489,351,056,474,149,405,888,057,127,198,751,135,052,295,
493,341,751,399,243,690,079,432,398,735,940,580,005,842,942,490,315,291,257,
096,414,343,695,570,000,358,119,575,340,132,576,613,167,380,682,719,979,594,
125,862,181,476,245,233,624,844,287,967,552,244,696,956,171,652,890,057,459,
128,375,615,199,838,140,456,328,868,869,569,485,200,090,425,434,393,440,695,
973,925,647,856,547,028,324,053,837,569,459,992,082,495,095,563,311,005,972,
441,728,846,412,158,541,000,416,676,915,716,320,869,226,348,216,513,812,902,
678,766,448,068,039,145,846,498,940,763,884,247,411,802,506,443,126,389,378,
099,295,987,117,115,729,472,078,018,650,222,157,048,949,846,284,721,190,657,
577,072,989,207,233,736,093,663,036,177,687,673,349,086,358,876,999,203,488,
398,776,859,128,864,839,004,689,131,612,126,706,704,148,541,262,270,283,276,
347,688,043,694,300,092,969,276,840,502,512,525,769,188,655,566,807,087,007,
801,110,843,397,960,534,131,409,929,183,811,341,916,978,890,064,573,027,480,
899,667,161,041,731,104,016,780,130,126,675,687,794,980,080,117,488,980,902,
816,616,246,715,931,871,722,225,747,295,023,557,053,130,626,126,913,170,071,
991,008,848,185,301,148,496,652,577,834,363,432,474,760,365,599,481,893,200,
980,453,324,744,378,913,389,668,759,422,127,737,247,046,137,313,854,141,598,
695,906,820,285,938,242,279,253,806,480,314,603,811,654,044,689,849,401,465,
599,434,449,619,310,818,866,219,590,300,628,094,862,986,414,989,853,541,421,
079,349,653,614,553,817,231,779,939,111,500,148,677,604,165,327,993,208,730,
548,403,740,977,605,627,867,382,378,759,298,218,132,176,673,690,718,553,915,
356,888,102,564,638,618,188,281,779,290,218,922,387,231,381,327,766,027,501,
365,767,027,063,694,294,349,230,872,622,128,327,508,984,852,384,581,877,862,
191,333,178,922,276,990,990,068,970,729,642,467,893,463,079,135,896,845,140,
457,848,252,259,348,597,604,862,605,276,937,647,915,600,573,238,147,658,432,
794,891,229,195,051,335,378,765,208,024,401,592,709,441,524,183,780,036,167,
103,915,188,273,382,261,629,572,666,163,930,625,204,240,739,809,644,199,227,
684,910,861,125,361,043,583,943,338,688,865,884,590,882,811,210,919,626,875,
453,733,994,635,588,131,307,155,573,312,408,417,306,985,812,028,286,905,978,
626,404,295,520,104,968,297,568,230,629,423,156,621,939,882,039,174,947,039,
373,217,890,354,018,312,266,427,856,398,714,493,050,854,385,080,612,565,963,
586,153,824,967,508,194,379,147,049,856,386,926,800,977,102,059,818,751,214,
762,385,252,251,148,689,180,290,775,703,891,211,013,732,496,169,479,736,381,
638,057,952,050,459,815,518,482,688,147,535,575,175,048,687,218,721,359,769,
640,376,977,544,851,950,790,558,597,548,548,016,320,986,599,694,239,543,345,
792,497,683,695,343,365,349,543,115,578,772,531,146,620,399,274,990,784,717,
972,649,499,890,156,123,699,680,113,286,426,817,753,404,600,631,464,685,077,
926,348,280,269,336,328,349,151,875,983,119,031,298,660,954,547,677,266,527,
822,560,685,719,072,980,217,620,143,840,860,360,974,346,791,014,724,581,816,
736,425,029,565,505,851,052,649,615,478,593,193,761,924,713,908,776,766,330,
172,192,014,807,032,642,673,562,071,133,524,791,827,045,884,365,254,774,746,
603,021,803,104,635,688,365,477,643,874,817,116,202,782,126,331,423,699,210,
208,595,393,803,946,185,175,226,797,070,261,869,731,406,667,828,386,073,997,
911,419,755,683,769,388,222,224,165,196,607,515,567,957,305,240,319,081,671,
601,427,338,112,493,389,017,629,235,066,430,275,529,059,021,302,171,328,559,
323,287,050,935,457,514,991,638,001,808,820,271,091,337,581,015,561,607,806,
227,870,908,719,429,252,003,698,703,494,466,456,955,655,658,068,940,798,685,
697,244,678,681,189,805,403,824,640,079,922,081,947,585,081,213,441,064,959,
362,079,766,588,697,829,760,412,211,259,082,629,545,758,940,467,268,561,104,
081,235,473,749,955,198,992,636,730,381,470,258,167,096,448,825,460,596,421,
499,471,681,504,544,566,776,331,245,930,413,097,730,920,411,836,833,121,807,
254,772,572,630,991,558,675,708,646,815,903,836,526,647,678,103,189,632,866,
263,609,967,972,227,368,455,813,538,876,474,033,077,421,697,885,984,706,567,
337,240,805,409,259,165,308,392,401,973,606,501,915,611,408,870,303,862,530,
744,350,928,966,435,711,753,154,442,744,005,728,213,857,966,613,569,319,752,
881,774,279,145,678,013,971,385,424,394,865,292,567,054,749,571,521,354,253,
809,928,015,594,599,115,604,214,339,968,659,920,088,753,772,169,582,481,876,
052,098,809,427,050,310,419,277,924,348,409,754,887,842,508,338,510,190,479,
874,143,455,653,017,291,783,782,149,228,023,776,051,137,299,302,946,535,151,
374,510,866,927,890,541,112,402,491,719,830,539,754,714,242,117,315,460,770,
079,931,986,407,008,256,213,857,005,458,928,043,660,883,648,217,432,128,019,
802,766,350,580,809,350,288,087,629,514,399,341,271,690,014,369,548,659,833,
893,545,328,762,179,993,517,218,882,677,071,936,949,610,587,548,730,610,996,
047,987,180,649,907,689,200,888,225,253,658,274,753,292,916,974,450,117,429,
418,798,892,729,293,859,199,778,851,979,599,818,186,835,454,282,108,169,834,
943,546,539,780,460,787,860,568,617,304,375,647,522,996,634,462,410,758,211,
241,527,226,577,879,708,410,796,401,370,101,394,369,705,574,466,895,334,712,
341,227,414,023,858,911,782,740,381,730,191,125,424,493,156,266,948,064,574,
694,687,543,061,411,602,003,523,833,018,257,099,484,219,979,192,139,235,911,
473,912,043,633,378,012,456,663,947,668,776,069,568,437,634,026,752,202,724,
806,480,035,842,692,944,696,146,073,337,734,915,364,620,233,430,387,610,682,
448,150,308,577,625,261,784,651,882,704,591,055,041,742,162,268,608,945,209,
669,581,664,827,025,153,478,818,742,575,577,918,644,880,484,187,321,706,109,
800,918,201,004,270,052,505,584,500,642,819,185,678,500,013,305,581,212,864,
147,093,055,309,408,123,975,437,376,909,032,564,079,976,164,991,920,510,052,
215,671,213,136,590,116,662,710,382,703,889,169,776,042,862,942,522,316,346,
816,232,225,586,457,949,983,221,796,617,983,443,433,649,717,153,549,876,791,
410,904,911,919,190,654,390,212,643,383,853,687,694,306,969,792,584,732,921,
505,547,047,584,134,557,973,101,001,822,573,831,218,007,284,615,824,378,601,
359,406,908,106,343,246,263,835,305,823,871,871,518,528,769,713,964,062,019,
964,094,384,397,925,322,139,813,403,448,975,655,128,090,104,296,397,158,820,
481,180,080,427,374,583,203,137,532,635,544,996,931,527,333,126,398,441,493,
886,763,880,406,475,091,281,875,882,703,398,644,376,663,026,618,152,044,890,
564,780,961,977,420,188,012,423,551,555,380,438,013,753,163,384,588,378,066,
616,354,103,764,532,288,846,052,340,104,985,008,772,741,152,795,756,311,984,
092,247,555,259,086,547,986,954,602,371,538,992,418,979,228,809,737,268,412,
411,763,645,995,450,415,122,371,524,791,882,292,347,690,232,432,939,916,058,
488,697,020,193,606,170,434,408,035,512,105,509,937,293,997,950,298,908,099,
828,849,703,130,392,684,012,034,876,673,842,984,198,739,656,546,415,777,197,
467,956,453,798,169,836,251,618,973,340,147,494,921,804,132,679,278,027,562,
384,269,572,627,984,782,583,741,613,995,893,263,028,227,313,121,854,663,910,
578,647,437,378,719,879,208,556,736,759,505,695,851,674,972,305,090,886,718,
398,248,655,814,829,838,076,314,320,695,609,095,802,455,840,823,682,444,981,
612,137,412,380,575,650,104,468,915,065,110,720,188,635,321,849,688,889,637,
521,505,963,050,458,071,890,888,420,231,176,769,149,792,585,020,282,824,752,
476,906,566,859,628,843,903,086,226,104,542,807,269,748,653,325,164,943,380,
032,091,340,703,529,009,648,652,309,645,328,557,372,224,708,332,292,309,496,
361,654,678,188,205,708,250,302,396,468,544,203,703,099,641,790,646,185,522,
652,635,991,161,975,666,252,943,309,471,435,498,627,736,553,973,532,878,929,
278,097,862,755,941,480,423,157,293,352,912,448,318,601,647,863,105,431,732,
405,333,474,343,881,992,636,487,455,145,514,369,641,787,985,096,291,848,121,
502,703,341,001,813,966,050,898,568,586,709,241,574,342,677,162,893,103,547,
021,056,796,098,635,784,721,258,710,256,976,176,560,159,109,759,108,935,102,
945,180,897,802,687,935,930,365,063,160,228,750,169,735,137,009,239,444,832,
566,963,874,233,103,773,077,840,738,290,269,037,529,756,992,144,765,280,700,
730,235,805,145,197,235,932,537,543,752,897,189,186,197,622,086,762,800,610,
167,750,740,408,185,379,403,451,028,893,196,686,551,421,623,294,241,422,521,
375,179,681,134,234,945,266,234,326,929,872,306,929,631,904,462,021,398,686,
462,855,587,926,812,249,287,510,669,288,511,349,570,261,015,290,871,404,261,
034,129,464,334,814,086,480,936,115,058,759,645,902,368,390,513,170,798,214,
551,893,022,914,651,035,030,736,054,493,681,456,563,914,505,611,027,052,679,
427,897,689,962,672,248,467,248,025,950,518,956,023,419,095,947,766,783,104,
758,744,285,480,051,167,309,698,658,901,584,287,130,627,588,668,682,825,514,
192,457,099,663,085,657,835,832,025,310,069,328,064,312,929,419,734,545,925,
444,117,546,957,004,154,766,847,422,524,963,861,980,204,388,267,646,735,062,
408,383,461,475,134,911,506,403,435,190,595,344,564,730,550,314,710,789,054,
826,186,300,549,166,524,416,996,566,367,674,868,649,389,438,743,287,819,445,
406,247,752,267,761,021,933,386,585,428,519,157,652,330,832,088,172,679,121,
171,315,178,532,357,239,774,238,460,545,657,354,907,366,083,494,370,804,195,
641,186,622,143,064,890,390,122,699,499,232,445,083,392,264,968,468,845,486,
108,537,017,030,723,473,329,894,320,955,483,846,067,622,588,033,506,128,286,
246,203,969,069,029,136,323,082,460,975,983,106,126,697,787,491,390,139,063,
496,373,061,149,210,426,323,428,802,331,603,805,727,246,887,326,650,292,728,
456,104,153,434,114,860,526,350,877,057,586,921,795,279,658,936,053,173,451,
541,800,103,667,540,117,515,423,383,125,281,770,087,776,872,141,422,633,799,
961,760,120,362,191,655,612,911,112,074,336,616,469,501,807,062,424,024,125,
674,521,349,876,560,668,422,353,629,349,255,476,246,782,360,404,191,215,888,
661,309,855,256,272,826,395,393,159,897,985,210,927,993,722,793,392,388,447,
083,782,129,199,680,101,490,901,153,495,000,784,497,263,574,099,725,568,421,
264,894,923,691,235,738,762,936,826,581,974,103,026,244,808,757,620,335,748,
404,009,923,457,864,190,403,808,795,618,885,188,155,528,505,015,948,841,502,
703,289,899,881,762,895,944,858,017,444,414,728,307,851,070,917,182,590,400,
748,133,952,648,870,558,436,000,565,415,959,713,946,461,819,592,763,026,228,
904,886,036,122,487,547,799,874,515,637,997,389,870,450,178,165,745,811,160,
406,165,133,851,494,592,905,408,825,059,683,334,405,129,423,694,897,014,311,
180,318,436,041,618,952,941,143,003,764,185,698,428,170,150,793,092,071,356,
925,739,853,025,361,077,943,971,067,058,596,464,761,110,034,355,462,310,790,
715,994,070,539,251,970,101,862,015,711,274,136,733,046,702,805,458,933,897,
292,164,479,664,195,461,001,151,282,336,506,059,680,549,684,434,021,497,004,
581,701,332,018,554,975,378,463,450,967,596,838,579,070,511,367,278,872,711,
842,905,673,615,665,825,195,775,904,703,655,857,977,851,875,474,601,878,010,
693,739,739,575,604,164,892,095,032,556,557,517,185,878,689,329,532,306,110,
880,543,347,598,906,746,403,478,749,481,452,580,008,256,136,500,754,413,507,
273,328,131,533,554,404,262,371,812,645,321,447,488,189,136,297,819,666,190,
428,801,916,397,291,088,903,741,916,022,034,556,648,574,719,800,033,670,122,
134,328,432,894,011,154,345,611,354,405,538,362,632,618,026,815,051,908,221,
891,022,875,747,162,692,510,963,232,947,198,866,714,190,798,738,182,697,116,
656,586,571,955,196,856,040,903,335,728,692,438,537,844,503,996,159,372,258,
820,348,322,486,277,162,781,411,653,747,110,698,751,344,609,316,238,740,270,
817,747,670,131,462,640,527,284,022,680,537,349,377,041,862,342,082,834,832,
332,185,895,826,391,831,210,441,317,768,211,173,005,864,166,745,012,957,286,
496,052,619,970,663,491,952,422,610,646,654,300,413,718,000,796,580,242,595,
683,344,760,469,746,760,044,300,152,475,752,629,676,103,677,094,564,319,226,
063,126,934,909,677,248,920,556,008,236,348,360,259,516,332,734,312,428,351,
235,170,441,174,792,915,452,957,793,555,554,283,789,620,052,209,411,725,897,
748,008,858,258,153,275,732,336,718,441,939,669,759,042,411,635,120,873,723,
278,508,458,247,325,032,201,765,843,774,849,094,323,825,969,341,861,682,921,
493,624,720,994,341,090,051,671,528,809,222,023,180,689,674,708,325,208,733,
702,797,322,092,428,420,173,957,751,873,467,457,259,217,423,599,804,558,977,
819,652,725,996,729,714,904,615,361,186,565,437,516,063,915,573,770,853,400,
325,848,952,140,454,493,367,783,677,885,779,677,385,147,056,329,866,428,497,
501,695,378,300,588,363,287,035,794,697,836,090,226,188,941,534,151,070,738,
521,002,661,705,644,653,765,145,712,141,311,300,883,557,131,259,065,125,184,
336,892,305,346,429,842,748,067,172,675,604,800,291,686,855,327,576,570,271,
823,584,378,242,492,889,465,486,388,982,057,044,577,233,156,661,615,132,356,
936,668,604,245,662,219,976,923,623,009,087,066,745,883,293,255,771,841,427,
622,569,079,889,401,637,026,395,962,061,384,011,591,652,385,079,842,341,530,
025,545,995,118,742,533,123,328,425,696,622,236,437,171,162,869,740,156,576,
287,278,417,512,410,487,553,857,516,034,605,089,591,066,144,875,781,401,813,
298,921,621,155,688,221,647,089,545,954,162,605,628,777,987,160,489,692,250,
383,670,821,548,172,246,531,996,436,699,408,642,322,284,947,917,676,075,066,
019,872,043,390,788,889,013,499,326,819,833,098,744,074,676,790,490,819,822,
210,527,718,272,871,067,283,912,392,084,743,273,039,253,179,408,843,640,218,
976,826,534,045,964,387,782,553,204,950,233,263,480,920,025,090,332,238,136,
549,531,417,767,898,794,950,624,884,588,684,527,503,501,631,803,602,427,785,
203,547,648,001,692,964,009,489,826,900,210,720,580,182,165,580,579,066,034,
013,444,541,866,496,477,104,400,989,297,154,119,999,081,789,361,933,315,655,
880,509,978,298,418,162,106,089,841,677,488,603,502,067,955,541,801,872,818,
847,145,404,006,380,960,572,515,742,988,539,116,091,615,475,187,875,463,760,
209,629,966,687,978,956,593,786,623,651,514,935,720,260,870,960,868,302,572,
557,638,363,636,714,225,188,031,948,122,787,067,641,943,366,422,124,906,184,
095,125,397,599,121,628,091,708,572,766,846,821,751,662,253,507,643,825,362,
042,883,876,116,785,479,916,626,606,512,934,092,793,931,159,601,764,317,545,
624,816,555,925,082,064,122,773,203,414,037,890,926,898,908,534,985,561,477,
536,700,891,458,084,729,289,814,348,679,687,693,944,124,088,892,162,267,057,
695,985,485,002,027,045,771,804,584,424,034,914,455,620,715,809,858,472,699,
317,566,556,535,623,638,563,530,995,361,418,430,753,387,295,516,460,353,868,
862,610,222,938,528,261,811,253,648,350,120,401,473,706,303,664,287,511,010,
480,453,811,865,497,323,440,690,253,982,172,945,935,959,537,490,067,440,499,
171,408,538,307,590,661,100,359,869,450,375,195,670,099,992,184,478,043,375,
214,536,629,420,173,077,245,183,979,036,989,406,567,268,747,354,819,997,637,
611,115,037,982,918,111,797,150,835,038,602,578,550,796,157,937,278,172,030,
726,382,532,442,006,038,897,891,745,158,636,454,518,089,375,371,285,713,190,
775,223,597,107,300,750,632,176,146,856,165,799,805,642,862,068,912,989,593,
716,545,563,920,438,683,115,551,780,458,284,180,420,277,927,137,098,698,531,
623,507,474,461,885,920,796,755,173,828,398,058,026,887,952,736,397,269,623,
334,818,308,308,083,979,639,645,394,909,736,826,403,014,767,828,160,157,501,
787,457,639,017,477,115,405,006,538,525,411,014,211,840,139,713,065,426,451,
534,245,986,017,487,568,968,618,092,919,336,228,511,071,293,742,605,647,963,
550,201,874,270,698,422,990,228,095,668,658,934,352,756,837,823,124,081,156,
812,000,916,784,868,406,296,124,463,170,755,320,365,793,537,392,571,922,354,
027,727,941,694,066,569,207,652,230,084,375,302,283,085,095,216,378,434,490,
634,286,793,732,380,734,583,270,150,475,493,626,100,850,228,401,008,754,577,
184,562,853,865,932,610,471,481,821,149,327,831,150,649,511,202,363,293,282,
499,356,017,190,988,632,614,946,048,511,905,927,183,615,537,796,795,106,800,
968,941,975,907,924,709,015,979,021,634,723,433,616,485,800,370,127,130,411,
812,243,242,197,596,562,390,415,671,073,297,248,203,729,260,307,042,457,243,
085,160,875,803,022,795,087,274,219,740,698,742,947,515,932,007,245,362,679,
696,900,592,668,303,424,589,230,802,114,297,172,936,297,527,657,580,511,189,
056,702,813,792,889,524,507,046,492,803,544,156,753,557,003,018,677,687,399,
526,429,318,575,659,230,721,680,039,362,694,253,443,651,026,030,249,489,626,
400,000,705,534,953,023,783,013,972,182,792,147,770,964,001,011,600,997,062,
200,722,977,450,196,513,786,362,745,325,357,037,756,730,379,440,554,665,330,
889,457,273,561,402,400,448,877,913,660,681,130,172,820,596,516,189,707,568,
664,442,027,002,638,096,798,638,024,133,566,494,683,728,725,268,132,813,635,
512,444,352,255,595,967,729,363,080,180,459,321,629,495,814,347,456,223,147,
956,976,362,405,330,680,507,522,972,883,944,662,357,298,086,724,013,650,016,
033,218,178,073,971,677,873,204,643,039,646,395,001,352,016,572,509,657,716,
585,299,329,582,968,404,282,101,945,389,517,477,507,342,090,534,041,592,168,
611,258,231,934,758,927,939,167,792,375,002,113,980,679,869,670,104,557,525,
847,569,939,886,864,795,122,428,848,239,829,633,701,916,023,453,771,253,137,
718,724,774,001,369,185,560,067,505,074,546,359,744,953,037,210,606,016,548,
962,216,899,932,712,599,181,917,674,889,907,352,700,058,443,207,202,411,856,
449,753,502,457,610,393,639,797,053,516,557,729,224,589,634,616,327,434,722,
723,690,656,893,990,097,878,001,537,642,805,541,105,185,524,194,713,338,348,
154,172,231,407,102,153,678,291,459,122,003,883,167,271,414,185,764,054,539,
275,144,922,250,834,278,722,363,968,612,299,426,004,495,941,445,238,956,528,
547,704,140,421,210,653,227,400,268,788,507,081,291,376,790,156,843,037,778,
974,688,111,540,831,240,121,418,610,900,639,375,740,271,821,973,530,554,050,
343,221,099,691,130,521,350,110,430,545,799,367,154,995,065,476,529,863,792,
414,961,177,134,920,127,991,548,867,104,891,701,454,186,113,724,026,894,697,
489,303,965,250,863,508,000,110,474,786,954,126,021,643,295,050,396,799,520,
405,724,956,369,291,541,940,552,606,459,155,578,374,310,936,445,534,199,180,
677,539,937,083,830,935,071,052,411,573,590,635,760,793,742,656,698,128,279,
336,726,526,844,190,916,352,261,077,245,170,127,850,343,098,392,435,718,540,
246,970,897,325,350,619,439,090,205,915,958,811,530,201,804,300,274,970,879,
136,575,506,182,025,255,521,804,544,485,597,904,359,654,949,828,644,634,938,
004,621,712,583,376,568,127,809,109,694,382,036,256,541,047,741,218,308,546,
320,337,093,940,081,182,404,171,055,978,956,005,778,468,253,762,771,128,199,
523,548,954,476,827,365,434,597,448,277,151,776,388,841,217,135,090,617,061,
875,305,188,308,574,872,005,264,138,956,563,874,283,217,232,594,687,633,423,
834,481,024,764,402,701,204,805,809,107,164,726,577,100,973,931,736,581,151,
414,832,187,345,581,450,191,567,585,854,768,889,440,037,807,863,535,982,768,
467,269,097,334,786,583,745,741,268,073,828,075,681,064,108,925,277,877,030,
498,787,103,328,160,053,367,790,048,037,915,039,104,024,646,678,033,034,700,
756,175,527,848,853,543,116,658,290,197,180,380,196,645,757,315,764,940,095,
854,319,650,371,191,237,719,512,512,709,461,809,321,386,675,414,507,635,444,
103,743,320,170,149,486,239,411,356,976,594,280,004,904,814,353,005,042,011,
264,319,960,908,663,993,278,472,983,652,331,699,545,659,827,261,270,449,971,
411,864,168,717,145,361,793,621,038,044,604,342,886,404,271,342,656,779,782,
816,531,371,839,131,044,139,590,156,354,303,775,853,041,863,771,357,046,248,
548,664,953,695,262,239,086,908,719,544,725,665,154,976,615,171,287,828,924,
754,675,198,863,984,631,372,190,998,149,021,511,560,626,473,743,611,820,873,
171,104,515,411,301,816,598,544,231,491,558,942,354,519,896,195,456,896,066,
859,516,190,575,139,210,438,678,134,644,859,120,106,823,286,586,583,598,452,
578,957,985,057,002,835,349,867,193,688,364,537,921,359,613,905,003,189,052,
992,371,211,172,188,359,077,319,714,299,847,340,960,680,474,160,025,869,663,
362,346,144,066,768,921,855,133,816,448,435,939,845,844,574,745,352,061,749,
877,835,258,076,664,240,190,870,450,314,749,874,939,914,747,991,861,078,873,
200,996,587,045,008,480,679,246,071,967,985,983,297,447,754,841,100,963,755,
581,569,812,089,140,117,893,264,111,166,116,128,638,292,877,832,757,010,824,
897,941,780,167,311,946,554,814,277,774,161,680,068,832,767,524,775,709,019,
625,625,282,853,608,767,174,499,561,733,687,873,659,417,423,920,656,252,385,
344,744,906,315,733,745,893,540,890,387,615,191,663,627,798,932,520,161,290,
685,181,545,252,294,341,296,252,642,883,088,320,671,819,552,699,994,756,234,
444,310,175,358,158,664,540,042,672,403,772,338,746,618,746,841,005,146,602,
783,400,184,963,737,884,778,266,490,445,888,938,436,292,031,502,513,010,609,
758,711,488,486,569,923,852,539,767,919,328,544,244,351,725,964,436,494,222,
015,863,175,801,470,706,504,507,019,477,785,892,526,549,219,908,572,353,209,
821,332,820,708,189,596,279,606,526,377,757,804,992,433,773,273,153,794,468,
302,204,721,169,009,500,742,871,354,044,037,818,982,289,380,400,978,485,544,
456,032,555,176,222,106,402,310,335,424,875,038,068,071,451,460,786,487,635,
826,213,394,239,608,361,982,925,227,058,732,958,588,476,297,037,279,505,568,
952,678,321,740,296,654,206,818,386,626,358,568,311,193,672,074,485,488,101,
279,769,522,404,902,144,922,851,310,767,002,000,738,673,062,636,838,602,543,
572,664,207,677,214,184,573,839,467,560,428,889,448,836,227,872,822,600,812,
520,711,131,776,498,582,363,535,019,154,174,918,610,875,953,629,139,777,292,
373,349,981,288,847,660,667,512,959,078,965,863,052,434,315,544,897,961,795,
806,363,736,435,200,259,158,548,779,044,131,914,706,644,448,426,112,166,849,
699,882,491,854,568,747,266,964,045,358,209,915,080,518,260,651,202,279,909,
581,648,935,726,341,146,355,528,305,114,028,806,667,042,683,923,120,918,767,
998,894,294,433,813,721,731,975,131,860,171,348,926,025,140,270,186,593,938,
952,807,719,524,063,695,358,432,434,951,536,759,874,913,102,198,745,387,845,
099,817,169,925,576,116,421,403,536,552,847,916,908,339,519,258,521,575,270,
996,676,495,103,501,798,563,207,438,160,290,784,818,258,233,794,411,833,433,
975,381,450,767,462,925,992,554,597,869,215,575,852,437,882,897,777,001,427,
407,087,560,180,624,838,988,819,933,662,757,957,171,697,204,960,454,209,981,
367,048,283,225,714,690,415,978,284,964,270,805,878,675,573,548,369,712,325,
146,776,771,121,617,387,463,942,139,514,509,520,966,425,000,097,313,970,677,
358,372,168,346,479,316,185,007,857,202,309,213,050,920,273,007,913,211,784,
380,198,176,766,250,983,286,599,540,563,805,860,652,185,716,475,713,436,932,
031,577,705,998,352,227,280,456,671,030,720,876,499,272,311,885,979,336,400,
045,646,714,616,394,638,642,576,758,454,698,726,821,288,484,341,542,389,726,
346,859,648,864,332,688,247,073,052,503,258,872,289,386,277,216,022,455,289,
441,609,542,769,255,939,792,740,024,632,937,932,629,063,158,041,409,565,312,
013,291,826,712,340,669,764,145,342,669,269,860,393,379,261,328,664,295,517,
097,952,251,026,505,698,908,532,683,557,695,948,834,709,608,089,320,987,292,
130,348,733,504,953,020,647,677,320,520,000,704,847,221,603,024,234,296,480,
975,843,030,495,807,229,286,900,226,343,054,215,769,113,497,361,921,396,543,
238,288,100,748,320,495,741,970,599,867,840,536,108,631,998,626,327,637,571,
642,661,366,060,328,315,394,850,040,215,956,582,064,784,145,891,331,113,452,
717,441,747,109,815,580,371,812,481,274,106,116,413,577,487,267,067,077,035,
649,356,300,116,323,931,540,320,344,614,044,977,824,092,756,875,790,824,854,
907,725,368,363,769,908,067,114,121,423,682,749,240,095,929,839,360,218,763,
993,313,687,850,558,894,579,033,610,943,974,891,546,920,421,194,694,715,555,
769,656,524,477,345,399,316,535,763,949,704,842,770,283,845,565,909,731,911,
274,156,058,995,354,964,319,909,085,895,389,649,484,431,956,941,368,776,007,
981,794,850,097,972,202,930,467,554,876,553,377,535,337,129,426,712,560,351,
321,559,227,899,906,875,745,627,797,611,955,381,687,463,258,650,333,649,503,
371,296,845,878,876,182,253,311,358,120,289,252,249,196,972,688,427,677,985,
805,851,983,771,922,827,292,103,149,043,920,245,021,987,720,734,850,667,062,
238,981,599,201,361,744,310,794,833,533,736,566,635,533,352,008,654,383,324,
042,445,610,545,149,744,291,770,003,238,550,898,814,538,330,283,650,333,829,
305,679,637,175,142,309,275,839,769,510,963,495,778,318,918,984,269,869,978,
018,765,476,810,830,247,129,529,536,816,721,353,921,310,978,970,737,871,635,
501,719,652,373,435,041,538,785,010,249,388,337,109,853,107,558,640,697,483,
291,912,296,678,928,640,134,583,797,183,394,778,586,586,633,128,227,766,105,
457,996,286,504,136,511,720,117,885,961,989,667,448,884,142,661,334,307,880,
246,394,134,942,801,291,020,946,462,841,087,566,317,632,389,945,928,506,504,
458,480,310,836,849,160,740,550,493,579,719,937,160,970,436,996,966,269,326,
898,598,480,731,077,773,468,267,111,434,897,904,901,898,381,874,794,643,092,
513,875,018,004,140,677,607,955,750,541,715,771,937,450,231,277,254,822,025,
084,703,057,295,015,853,944,411,439,757,970,275,406,063,650,179,472,692,326,
890,508,621,174,571,946,540,464,293,641,199,707,923,292,282,582,314,302,370,
541,079,457,237,270,590,374,838,608,039,528,632,018,691,201,067,200,598,248,
065,010,623,428,711,380,243,870,448,543,093,962,377,362,863,290,057,442,983,
095,670,432,483,821,231,660,928,148,003,588,755,242,837,285,648,501,453,233,
960,150,040,429,408,260,945,389,157,640,889,515,666,763,113,537,098,659,294,
892,885,552,695,961,534,991,069,734,046,119,667,927,342,563,523,269,373,286,
646,480,416,711,326,111,140,949,306,772,801,511,228,046,998,039,125,892,688,
079,929,520,155,516,274,204,802,600,761,157,507,974,977,475,163,350,728,482,
150,222,577,307,951,913,072,596,143,362,261,603,668,326,499,387,207,985,611,
503,000,109,735,871,798,875,111,314,115,897,321,658,207,573,387,045,081,099,
393,719,280,559,490,503,712,499,416,552,542,746,643,894,769,068,136,086,286,
781,390,150,157,000,687,199,359,604,412,458,223,241,981,334,861,978,540,689,
456,663,291,963,007,902,256,511,111,882,218,835,950,770,719,692,223,330,766,
467,464,740,156,545,076,826,262,536,437,741,159,875,247,853,417,007,798,332,
447,061,461,334,123,765,363,918,777,241,832,928,316,188,033,010,832,525,764,
851,988,038,126,184,960,374,406,061,482,732,040,464,931,801,283,651,554,034,
701,766,007,934,211,421,311,647,757,975,299,766,219,647,205,582,342,975,176,
522,133,352,906,174,306,850,972,545,626,045,446,318,417,237,733,541,837,848,
039,434,953,512,255,904,525,560,579,368,080,027,843,493,061,674,458,533,101,
834,044,888,437,015,324,468,803,021,516,656,750,660,744,523,933,607,499,457,
650,721,511,626,923,773,168,781,356,299,054,209,339,331,669,533,645,481,792,
631,880,009,791,976,916,533,901,147,968,415,149,259,377,389,574,714,236,353,
133,041,439,467,176,146,994,008,499,561,899,958,425,096,105,335,093,073,713,
998,565,091,473,236,539,882,575,188,905,768,346,145,816,091,660,175,425,475,
123,989,357,159,209,604,764,212,598,823,612,572,340,959,611,990,598,634,800,
948,003,552,622,285,453,149,216,501,997,990,288,499,218,209,888,682,840,598,
620,104,110,490,274,190,110,564,920,290,324,328,903,875,414,990,916,428,032,
253,880,571,312,749,630,841,553,214,039,301,346,796,974,921,417,899,664,408,
528,668,128,659,204,991,357,862,009,541,142,230,288,718,678,697,000,188,133,
325,443,120,482,571,244,205,048,590,951,349,167,180,823,718,327,754,766,248,
589,332,926,304,500,513,976,704,999,900,029,145,843,487,731,102,090,247,220,
339,254,541,551,554,522,869,202,562,047,530,027,216,778,959,191,623,552,272,
180,906,157,880,921,568,230,953,705,805,114,616,763,445,549,677,517,538,300,
045,268,145,675,303,246,060,014,869,061,749,942,440,269,398,181,231,182,366,
045,255,699,389,171,110,749,126,310,649,102,716,854,819,424,101,312,173,737,
209,322,649,935,716,678,556,523,546,996,886,886,048,549,509,915,814,882,628,
436,587,254,488,831,054,759,240,285,554,667,523,912,706,570,467,465,956,523,
872,055,466,766,468,720,256,004,769,477,670,960,791,600,167,716,064,263,585,
092,197,591,268,210,430,999,072,704,483,678,291,480,900,592,283,025,417,276,
465,651,295,519,327,151,568,212,545,041,443,468,209,606,032,028,266,367,083,
852,446,389,549,242,316,741,717,017,023,492,232,051,878,544,285,716,860,715,
570,566,772,532,639,342,162,847,669,477,452,912,200,271,773,413,815,444,884,
812,588,338,626,251,683,305,469,922,599,854,898,756,921,377,511,124,898,197,
840,687,460,534,200,609,133,193,650,442,322,917,562,489,924,736,462,096,162,
726,134,223,952,463,613,148,234,771,186,173,646,693,820,253,462,778,077,300,
437,542,296,298,282,840,304,972,465,039,930,568,298,104,028,130,910,704,652,
883,028,815,805,327,112,473,474,091,188,517,085,465,373,626,823,802,231,568,
976,952,562,651,006,549,735,530,743,976,643,824,882,826,682,615,008,250,479,
790,426,004,267,679,547,264,951,112,509,912,641,428,726,276,907,395,122,281,
165,608,750,519,005,487,388,518,553,172,372,931,976,391,982,815,482,637,984,
019,990,839,614,043,584,100,702,074,325,893,310,373,705,966,145,557,187,993,
596,793,363,587,159,652,099,899,840,716,244,106,601,248,632,356,446,790,767,
343,707,922,789,921,551,047,035,860,063,150,395,045,604,265,718,908,771,341,
598,554,994,309,646,962,276,962,321,254,973,619,619,297,227,872,184,652,139,
722,097,141,266,947,056,053,360,094,354,372,922,679,816,653,583,360,416,705,
962,710,771,531,349,513,962,417,856,408,286,068,787,214,498,611,900,366,175,
318,184,308,204,370,413,658,397,351,923,583,573,406,379,879,473,980,736,491,
963,797,748,566,097,752,223,589,643,068,813,680,885,239,239,860,149,338,288,
937,284,702,126,555,852,476,554,865,517,754,142,693,757,995,052,508,986,615,
894,191,060,993,057,811,478,355,967,646,102,900,676,017,133,095,019,402,273,
918,729,915,444,875,700,313,874,702,288,498,184,012,746,083,571,382,194,712,
649,554,430,247,707,488,072,801,411,398,270,437,219,207,140,797,310,302,652,
793,096,952,538,322,339,757,775,838,005,579,104,078,813,734,021,504,235,092,
088,339,982,040,358,602,585,958,973,551,723,265,328,326,244,624,623,284,982,
561,783,000,556,473,333,467,982,457,890,769,823,067,333,952,151,083,047,965,
696,162,515,465,510,909,005,597,628,795,352,005,051,684,593,375,902,959,935,
557,943,350,680,375,284,665,853,944,917,805,627,046,189,009,743,012,581,442,
110,441,714,492,421,394,369,781,747,784,814,821,615,222,976,004,493,601,423,
762,354,391,328,096,053,502,750,074,379,728,146,157,552,445,525,304,003,699,
965,852,488,648,760,177,051,275,358,454,835,266,174,026,452,274,027,260,932,
342,525,758,709,836,690,136,875,249,963,274,258,606,266,122,863,227,420,894,
809,143,571,352,817,337,729,153,746,567,740,101,390,932,455,223,988,289,146,
062,784,501,961,227,068,527,314,340,493,157,528,747,972,738,315,359,809,648,
801,994,560,566,668,096,713,283,354,912,702,818,535,572,757,320,498,599,189,
340,425,889,943,361,878,602,902,485,251,241,048,927,949,805,678,709,636,977,
968,664,843,803,765,907,757,846,456,196,967,572,052,698,381,733,134,359,544,
710,989,376,593,431,789,241,942,416,209,499,294,705,252,317,032,546,889,243,
819,275,871,362,359,303,827,792,995,767,209,282,723,906,977,105,111,892,196,
560,630,227,530,057,522,568,433,128,565,576,243,275,293,529,021,555,716,456,
575,819,983,378,330,361,594,926,121,490,777,740,698,022,387,715,833,300,692,
793,449,189,532,072,261,052,238,175,796,894,670,112,717,178,000,314,817,299,
213,960,756,659,780,615,863,032,507,505,983,523,156,955,192,214,139,778,258,
421,128,880,602,141,019,835,424,409,542,265,644,054,495,792,530,650,047,880,
124,059,112,333,901,855,621,698,500,013,361,673,185,389,764,738,093,012,564,
064,836,002,482,593,354,025,613,672,566,741,237,999,463,181,752,208,944,038,
335,354,654,206,058,489,172,921,827,498,116,619,531,394,235,611,231,247,970,
740,458,683,722,762,518,322,678,674,503,247,933,904,374,027,636,424,496,670,
461,814,128,781,149,753,398,557,964,102,752,337,125,795,599,583,837,548,274,
359,368,078,516,542,923,668,374,807,779,199,945,369,783,765,863,751,766,179,
216,866,082,013,742,550,823,281,199,715,934,779,958,313,412,573,625,329,478,
650,311,834,973,115,981,724,237,910,066,238,886,283,045,998,839,446,107,595,
252,946,214,330,685,606,534,149,621,117,977,822,992,485,077,953,868,922,823,
332,003,979,150,863,630,766,308,124,576,695,392,945,922,636,367,434,539,381,
007,196,652,147,137,369,699,246,760,786,136,765,726,125,506,352,530,924,869,
868,455,664,153,518,984,094,773,619,091,663,849,071,831,711,299,176,874,487,
531,314,540,265,541,005,104,803,256,551,478,591,100,030,450,854,027,021,138,
576,447,520,184,878,146,104,185,880,421,691,611,472,621,173,698,572,176,349,
284,236,909,885,656,678,072,995,039,047,866,985,490,727,136,048,100,738,539,
364,632,294,005,429,733,997,675,703,879,041,659,586,132,365,319,409,724,313,
926,690,919,564,889,520,346,526,939,246,172,756,866,665,191,245,891,408,298,
327,815,114,767,074,671,948,086,825,392,649,109,260,145,121,670,468,788,717,
715,746,266,954,358,736,577,397,790,725,826,519,899,726,571,908,039,528,802,
540,287,793,388,867,521,035,196,695,461,443,103,303,926,512,653,529,365,317,
000,819,192,084,929,905,656,983,714,981,255,349,649,904,115,512,840,742,750,
561,434,313,702,760,148,073,015,832,339,478,365,450,102,214,794,898,029,754,
681,350,683,472,991,854,815,484,374,419,604,329,159,622,897,207,089,276,367,
053,954,256,859,120,898,500,737,151,308,207,687,773,411,343,432,155,986,116,
664,910,276,062,448,284,153,389,554,967,636,982,511,907,652,538,596,738,984,
388,062,297,015,724,432,399,851,162,267,621,659,212,311,738,993,689,680,525,
398,632,569,394,823,018,230,391,738,746,419,831,326,447,528,197,298,611,019,
645,636,052,037,845,131,595,420,178,520,340,049,092,691,683,008,628,969,095,
240,481,243,032,205,234,474,296,355,304,674,680,839,388,008,866,585,804,197,
399,192,300,729,312,118,958,155,602,175,025,818,567,427,329,755,722,910,418,
548,017,917,870,079,386,351,241,272,463,019,390,942,581,363,857,823,627,648,
841,529,541,184,923,676,259,355,952,940,459,013,136,062,631,092,936,188,488,
356,814,114,473,690,371,031,538,921,853,438,843,041,731,600,953,601,925,819,
975,445,753,118,610,041,721,630,014,755,947,621,486,187,142,067,256,228,128,
207,920,264,622,273,392,310,048,496,750,445,675,600,775,083,656,288,442,899,
937,757,838,005,064,562,354,534,057,745,569,094,756,844,841,653,685,118,731,
844,111,759,416,124,929,459,232,944,466,016,388,433,631,458,430,556,994,808,
680,243,324,302,978,607,621,504,480,518,486,177,431,000,325,713,441,822,751,
449,961,131,661,879,227,196,840,651,174,250,959,238,134,202,132,814,155,878,
263,237,460,064,246,094,927,024,684,500,727,571,247,910,026,472,011,919,851,
572,299,819,190,934,539,897,828,654,600,123,886,844,101,267,037,541,939,534,
479,062,575,456,376,978,576,702,555,930,254,779,846,682,892,155,193,451,886,
395,605,105,814,989,143,998,109,210,872,715,229,201,775,710,346,672,453,332,
709,650,246,012,011,282,660,624,304,633,457,783,516,195,153,292,560,234,371,
897,068,753,497,268,690,476,253,610,331,416,938,728,517,941,486,960,791,018,
227,623,368,705,257,759,855,938,672,891,624,768,924,584,430,100,742,333,398,
415,465,297,271,684,739,788,530,708,861,090,983,717,552,241,551,383,455,659,
751,244,572,135,761,945,797,162,646,702,164,632,328,027,293,328,043,726,053,
415,568,276,455,276,730,714,166,502,919,934,935,175,626,715,219,495,525,169,
014,311,998,387,452,643,841,236,348,898,964,549,392,344,239,757,990,390,047,
153,946,839,505,122,752,516,198,975,527,186,922,762,728,758,190,831,430,497,
802,236,277,360,921,711,803,681,584,511,177,995,251,164,262,982,774,988,834,
134,085,120,326,976,931,989,339,295,463,649,021,901,174,867,151,706,846,124,
777,502,054,893,160,555,128,720,959,552,578,544,890,514,191,670,737,788,333,
019,525,864,528,529,249,257,407,459,514,392,300,623,150,123,818,295,449,031,
538,652,716,763,382,949,278,337,829,137,445,577,063,009,926,359,029,961,005,
214,049,236,962,532,803,951,291,482,771,222,930,169,979,448,532,017,758,903,
926,924,424,027,468,761,534,264,186,630,186,525,955,068,431,303,671,788,683,
366,235,085,414,453,724,407,994,003,056,195,654,063,792,780,347,735,493,157,
316,205,623,125,480,166,499,778,631,999,186,479,422,425,513,886,395,025,036,
955,761,376,968,643,651,333,564,598,751,173,588,291,871,126,175,706,221,406,
971,286,593,045,048,446,494,458,608,065,731,519,598,431,426,188,965,578,427,
129,089,425,293,419,516,658,022,261,968,913,426,100,168,296,582,312,972,755,
088,597,116,850,203,241,476,244,679,863,201,451,054,292,675,037,662,308,122,
366,090,800,957,783,884,183,961,870,970,115,015,664,095,217,502,977,237,205,
237,218,505,981,274,707,061,083,025,267,658,204,234,761,992,824,837,759,149,
648,209,856,652,263,776,836,324,179,237,859,134,278,726,160,871,191,549,883,
937,568,039,298,701,386,227,670,456,305,931,103,956,469,440,026,064,966,651,
697,352,810,952,591,576,721,075,159,957,711,017,984,830,235,855,498,144,368,
970,929,808,551,190,953,763,933,237,670,508,526,459,577,707,453,133,481,981,
851,191,118,975,058,078,897,853,791,768,636,143,807,711,789,195,316,601,491,
793,822,085,097,218,163,443,621,611,140,562,898,210,794,690,282,956,183,332,
834,095,925,757,389,867,663,814,632,075,974,646,201,469,335,641,349,814,306,
019,334,462,973,333,353,094,158,886,691,209,191,070,283,536,725,387,906,249,
252,849,253,353,953,534,500,397,475,897,683,282,611,581,950,451,378,396,123,
340,909,309,154,871,220,027,593,810,588,554,199,113,067,148,764,475,258,041,
612,878,276,366,068,696,004,772,529,193,936,227,691,308,788,767,355,222,491,
332,385,917,481,874,890,256,456,208,521,523,894,014,484,354,720,070,939,667,
090,853,476,498,868,888,785,185,908,752,624,190,776,995,269,875,046,210,434,
823,854,335,609,583,291,494,082,207,874,580,261,952,694,726,706,010,108,527,
927,235,968,309,219,164,417,864,853,915,935,935,092,189,606,923,974,258,525,
375,012,383,828,133,339,477,741,888,400,301,977,119,781,084,880,014,884,430,
031,768,638,651,257,762,648,654,974,098,741,748,112,315,181,552,901,976,507,
256,735,829,858,332,765,981,950,655,053,601,584,406,598,073,088,163,068,850,
204,190,203,568,318,593,773,561,592,522,915,618,831,204,094,713,543,002,124,
785,182,803,161,260,207,843,665,902,735,254,743,390,440,410,487,395,053,083,
778,004,830,420,049,333,423,026,493,861,436,862,644,296,330,880,152,866,844,
212,434,579,917,506,670,861,298,227,500,686,083,082,871,263,704,431,023,248,
058,156,428,582,427,720,685,655,928,668,315,967,623,657,499,951,650,118,529,
358,259,753,350,289,577,619,766,001,496,481,516,572,739,746,629,707,983,649,
871,735,368,529,692,390,582,599,059,449,023,803,996,012,240,072,751,418,683,
696,549,417,999,077,942,122,812,538,535,038,507,556,250,990,789,255,955,496,
709,748,680,448,857,764,870,987,243,918,355,408,135,648,028,010,000,918,984,
714,740,028,243,143,820,304,825,729,948,947,692,281,100,359,760,684,803,871,
562,135,907,455,368,992,443,360,949,071,874,222,595,804,816,924,217,583,749,
070,915,485,047,316,624,810,776,413,451,745,159,120,099,496,914,854,636,322,
089,949,035,216,815,242,695,866,378,044,254,389,069,034,640,731,277,059,199,
780,312,339,272,105,210,676,783,101,016,867,150,338,837,681,614,573,800,293,
343,086,900,606,996,108,592,732,524,324,718,432,412,631,198,600,142,454,531,
612,946,648,910,080,545,390,775,696,746,015,014,156,746,147,999,157,512,766,
285,110,431,797,567,910,759,266,829,563,183,493,495,315,793,597,022,303,317,
302,797,611,366,234,482,190,973,825,488,226,290,539,051,593,136,083,231,975,
079,381,358,475,047,951,831,076,346,969,070,512,644,752,054,525,297,788,564,
087,731,676,953,485,578,707,513,734,380,054,703,783,035,512,704,960,703,199,
673,737,959,413,544,859,197,627,661,452,809,014,912,586,862,636,502,515,804,
609,176,804,022,462,113,461,290,364,240,218,436,495,919,903,613,213,936,398,
105,737,548,905,177,783,209,368,655,576,284,881,833,796,630,498,922,922,126,
971,636,600,851,981,304,251,489,101,990,281,127,194,969,048,958,183,358,275,
653,273,305,340,707,911,078,613,004,586,936,728,425,611,562,067,799,660,644,
500,343,601,331,849,482,308,934,336,130,416,046,155,520,091,756,442,534,246,
365,691,983,236,740,208,320,843,273,365,953,912,367,743,636,576,686,299,262,
439,449,909,255,537,390,368,838,978,629,748,436,925,708,253,080,233,349,694,
683,101,947,204,244,006,236,339,246,545,306,584,559,812,575,782,860,546,022,
566,559,413,367,641,700,635,142,613,133,824,928,736,716,962,808,434,254,420,
417,236,774,240,716,341,057,404,416,487,723,702,575,029,378,553,665,821,845,
849,066,123,292,840,702,253,512,994,892,371,552,398,157,545,533,057,688,130,
861,829,458,672,986,460,287,483,589,249,788,606,370,415,474,568,011,629,102,
600,601,820,296,496,369,929,014,338,276,284,331,783,269,520,332,772,707,509,
301,523,196,183,972,623,507,507,884,177,247,767,385,958,088,120,060,686,371,
868,633,548,287,271,117,847,451,220,873,794,997,703,702,618,844,935,335,093,
067,677,637,729,023,856,643,188,137,303,133,344,599,495,368,189,682,761,745,
992,739,577,574,308,573,214,536,272,002,056,818,622,375,945,955,089,215,130,
980,248,312,441,927,987,833,451,931,586,485,672,631,239,055,243,122,676,371,
342,482,494,887,738,096,312,867,223,185,839,914,756,436,224,913,191,008,747,
305,285,345,865,350,084,517,060,062,336,213,760,536,327,397,631,439,824,416,
798,285,550,738,402,657,140,341,069,277,111,134,139,057,308,105,622,853,344,
899,228,734,233,131,713,199,429,089,540,150,527,900,194,307,236,918,498,035,
112,082,311,928,839,701,408,163,333,562,542,209,778,773,564,922,367,112,924,
329,678,054,613,790,303,664,514,758,488,234,860,031,348,508,109,636,083,073,
960,200,876,278,039,473,496,175,958,026,120,959,615,655,511,219,211,684,338,
495,055,611,612,224,843,876,245,420,339,727,421,372,557,375,033,909,137,171,
975,245,594,376,769,414,857,128,516,543,135,931,874,609,181,160,692,702,141,
666,315,685,506,424,130,185,320,905,198,011,731,336,224,638,412,724,231,796,
924,306,421,751,456,638,724,909,004,367,838,156,525,565,309,891,231,263,555,
085,448,313,074,869,426,015,692,194,374,197,366,761,509,646,748,089,589,562,
730,216,884,245,749,846,613,144,738,943,628,727,036,343,442,180,247,803,630,
434,454,323,308,965,333,026,422,475,550,625,163,355,857,817,087,177,818,896,
712,427,822,040,938,890,170,843,508,622,184,895,223,505,465,003,991,815,519,
087,555,493,835,555,354,097,810,297,460,048,367,316,519,452,115,361,229,832,
771,660,110,476,370,283,116,245,439,439,381,003,286,904,034,954,011,503,033,
830,353,577,872,051,984,160,964,623,953,954,026,237,838,360,748,945,596,388,
142,346,960,763,531,985,339,823,796,500,799,597,328,095,605,014,269,927,954,
712,731,597,551,701,823,758,662,372,816,045,997,065,403,371,101,476,891,633,
579,199,911,642,587,410,322,164,654,831,994,617,141,675,665,721,328,660,196,
809,684,988,130,409,224,719,425,819,253,822,091,903,583,668,295,990,026,327,
065,447,846,113,057,052,861,493,302,607,333,451,718,322,424,243,823,661,883,
526,373,308,328,688,305,673,068,123,868,323,947,926,883,713,141,233,724,840,
683,343,299,615,379,513,316,749,127,898,772,873,006,691,999,883,386,784,905,
373,726,192,665,776,607,332,114,506,122,513,426,631,745,361,538,782,879,532,
545,976,546,506,232,572,123,889,188,835,828,706,861,325,933,613,099,509,380,
164,524,459,087,669,315,072,890,248,729,612,102,577,793,250,707,836,839,062,
471,672,172,113,196,401,163,455,648,493,947,607,338,573,008,007,325,522,292,
261,044,649,978,241,536,404,527,610,294,779,390,679,800,235,727,223,136,235,
377,321,354,219,188,592,120,812,950,862,943,647,326,358,625,528,610,053,234,
559,834,954,043,062,460,116,295,844,925,451,042,803,349,358,942,086,957,816,
475,790,888,444,639,574,932,120,460,977,006,368,496,674,526,936,502,327,783,
948,705,022,482,663,030,433,233,106,410,564,259,699,062,542,927,467,976,498,
434,082,608,956,741,172,534,857,206,033,978,201,839,246,889,766,797,116,369,
712,112,451,361,249,410,170,692,146,003,206,208,793,412,993,195,528,877,307,
643,979,456,943,305,502,341,541,947,498,662,614,223,331,580,045,270,813,866,
899,561,291,468,346,875,384,614,410,963,435,405,479,412,952,678,254,889,602,
630,139,164,698,077,316,056,556,927,733,323,797,088,272,404,807,904,910,881,
884,058,124,666,557,744,653,757,183,486,446,301,448,739,272,262,356,219,187,
734,200,822,240,302,519,816,441,658,370,336,229,114,262,275,305,655,038,249,
111,932,244,020,775,068,026,193,847,953,555,728,999,275,220,478,977,620,082,
460,361,084,805,033,851,379,219,245,124,978,181,386,354,694,183,564,235,589,
501,139,250,127,900,048,895,313,476,089,394,061,715,331,914,643,627,672,531,
832,912,246,918,833,242,495,388,741,258,706,976,186,224,789,443,302,574,287,
712,465,382,248,661,215,882,149,126,690,473,702,032,629,999,917,854,792,596,
804,078,613,519,230,532,825,409,269,120,822,408,511,201,768,231,775,041,205,
903,661,100,126,808,164,724,083,278,466,390,777,948,689,040,120,899,501,374,
380,844,864,019,220,592,509,252,386,389,864,054,397,057,844,601,231,409,997,
071,881,516,881,833,377,762,415,951,167,914,015,765,141,832,815,276,097,014,
900,659,952,552,139,849,516,436,413,556,142,764,384,301,584,811,307,055,421,
157,696,693,146,086,761,123,510,790,553,856,473,148,484,006,980,361,373,652,
869,083,081,320,316,120,588,519,096,668,321,628,639,480,014,167,207,901,598,
722,286,375,669,646,415,324,830,934,565,729,336,326,859,152,121,547,011,866,
673,537,990,534,236,225,648,843,536,907,529,883,242,190,341,066,874,253,013,
415,622,347,751,446,521,268,076,709,804,162,329,137,465,665,035,004,601,189,
126,326,437,429,186,072,882,479,583,128,390,462,017,656,816,452,379,654,840,
772,946,744,705,745,948,868,140,507,858,218,112,478,005,186,683,615,720,550,
505,753,124,204,119,009,833,432,318,503,118,644,982,249,714,179,604,419,628,
061,418,636,215,022,099,055,880,177,686,332,432,951,373,493,721,648,722,469,
600,039,393,693,750,708,385,388,882,080,591,067,562,921,153,681,121,380,281,
307,478,362,355,920,966,235,849,666,891,977,255,469,336,840,864,028,721,479,
110,367,816,288,867,277,818,158,716,067,373,698,307,700,224,848,436,794,938,
572,109,493,326,275,297,574,544,386,833,752,827,737,265,392,341,697,971,268,
841,064,804,960,077,657,722,669,756,292,061,106,381,680,619,559,688,718,761,
567,531,945,242,026,556,306,408,564,546,213,402,604,939,217,669,027,772,455,
225,908,974,176,056,171,606,603,020,798,243,647,291,047,730,400,528,563,441,
017,012,607,728,460,058,938,482,988,541,708,667,783,639,507,657,828,060,435,
656,121,246,889,567,372,602,652,177,285,763,168,873,309,631,305,747,324,854,
064,056,989,857,976,935,121,999,121,801,418,163,981,224,530,380,307,356,801,
891,695,404,621,491,352,632,494,126,209,125,994,125,825,436,485,029,410,892,
993,632,590,745,688,549,659,949,421,621,381,290,296,007,799,976,044,771,760,
610,881,362,821,229,019,311,298,694,891,542,415,473,362,430,776,452,500,420,
833,960,528,429,708,683,864,531,873,781,596,594,914,831,581,197,951,300,336,
018,899,776,620,520,684,756,569,532,186,270,868,886,942,550,067,905,964,103,
294,912,834,984,042,075,992,199,445,660,298,289,208,151,099,653,716,560,552,
193,732,003,837,919,788,422,938,184,261,342,086,307,625,679,522,763,851,182,
280,611,634,794,815,801,903,717,983,093,454,753,601,332,450,977,659,845,772,
673,684,202,904,012,125,607,904,408,461,918,721,778,734,280,085,151,469,581,
682,316,243,711,972,713,190,550,277,638,703,894,376,321,476,065,842,795,811,
066,975,803,654,125,198,212,214,744,481,747,208,496,476,620,871,174,614,844,
986,054,818,498,214,294,873,886,064,439,288,905,458,158,295,621,136,268,021,
872,255,835,660,011,252,886,866,218,976,653,237,664,440,055,381,631,532,414,
164,322,023,617,919,271,041,905,946,228,040,251,002,298,969,195,577,414,849,
587,711,201,281,425,550,768,183,897,610,971,684,781,187,955,847,868,388,472,
637,940,531,721,866,788,426,133,359,462,362,821,248,885,221,581,814,583,460,
674,630,650,939,536,969,244,265,861,118,209,456,086,077,392,695,423,809,139,
090,422,210,180,714,859,377,063,739,110,732,771,067,200,552,197,230,164,831,
161,716,285,185,533,933,654,121,795,420,411,068,808,284,005,696,840,202,837,
459,145,969,390,161,636,728,640,190,411,009,961,306,675,759,512,919,838,897,
833,183,831,839,373,415,929,374,775,410,957,177,875,330,461,777,659,545,062,
808,995,195,724,505,912,721,459,950,116,501,738,833,678,620,372,724,934,600,
360,050,419,297,275,107,118,797,079,116,006,772,578,395,930,779,235,109,384,
580,403,902,448,222,450,467,790,385,481,904,265,588,037,742,503,047,783,237,
040,298,303,328,142,276,328,178,686,169,604,920,625,846,242,196,835,224,731,
353,065,884,664,774,218,840,488,548,931,876,760,956,017,054,677,223,067,711,
527,916,363,412,855,264,133,874,016,796,090,238,247,880,567,973,111,987,830,
904,405,094,690,585,406,283,466,220,255,184,539,969,240,363,649,820,467,405,
744,550,848,064,395,333,998,911,981,182,008,239,447,281,275,153,930,129,070,
280,767,913,914,365,466,245,539,764,434,745,797,333,105,347,810,967,877,168,
012,411,381,166,094,109,409,866,237,667,069,206,538,630,769,967,066,849,820,
431,716,056,203,259,997,004,217,996,944,695,820,520,446,074,226,197,970,355,
006,286,144,102,124,511,028,115,007,677,082,610,039,777,761,461,871,009,290,
888,219,912,570,525,135,294,699,157,443,448,599,192,632,494,767,954,515,330,
097,223,099,169,416,442,108,229,647,596,164,392,308,018,131,745,704,378,596,
045,179,858,614,263,341,674,302,414,715,951,332,182,006,061,032,682,308,095,
305,132,271,236,091,889,426,416,788,583,008,428,748,285,191,427,866,793,369,
354,717,214,432,070,828,393,084,888,049,125,815,803,313,452,837,839,839,982,
082,005,402,626,749,317,078,745,649,877,132,403,463,162,986,073,044,331,862,
968,858,708,991,797,147,199,197,170,316,183,857,466,245,785,912,556,442,739,
367,513,056,720,582,015,323,787,395,958,917,208,212,121,782,215,462,118,457,
642,205,329,464,254,904,242,255,100,812,147,493,615,330,761,122,889,175,270,
032,159,910,874,256,544,044,844,350,735,586,604,994,114,177,511,156,288,316,
337,447,034,886,114,361,159,584,143,904,969,268,331,664,791,074,609,946,809,
510,221,766,832,562,616,876,446,770,473,069,934,309,013,529,555,944,970,301,
282,762,989,893,000,712,808,044,657,027,712,833,424,166,684,374,457,543,534,
044,800,862,397,194,326,571,539,973,352,052,973,629,769,866,804,994,714,005,
772,728,761,620,227,536,941,239,651,196,745,372,103,913,373,758,198,158,390,
759,398,067,948,461,794,037,963,002,589,397,467,239,221,770,490,455,508,227,
945,541,559,628,889,642,053,721,691,662,087,327,977,551,823,951,696,936,719,
432,796,789,862,844,484,385,012,773,912,049,905,787,309,664,887,303,348,196,
853,775,395,399,911,682,798,015,013,518,488,909,211,782,454,448,426,300,291,
375,286,942,025,157,961,157,151,050,621,573,115,424,046,081,877,748,208,280,
773,213,646,808,984,359,215,277,346,882,348,541,519,028,187,489,450,431,776,
872,554,441,769,020,336,051,972,455,308,770,077,964,067,213,534,168,027,876,
506,247,023,815,929,272,308,036,789,855,948,152,757,250,642,380,734,752,545,
799,286,883,639,830,662,492,620,971,395,706,087,557,059,220,866,025,932,935,
245,400,155,938,696,291,834,088,775,393,536,973,165,990,418,903,165,704,009,
557,474,720,882,396,112,074,898,243,764,306,852,268,344,454,626,519,944,551,
627,864,378,687,303,294,585,318,167,962,312,379,017,941,849,832,673,195,519,
280,958,151,560,616,287,048,516,259,300,021,848,561,271,319,512,499,291,335,
274,666,160,033,259,878,689,302,496,924,910,547,434,772,257,091,127,391,268,
202,296,235,470,999,601,129,718,787,743,800,536,799,377,456,583,205,385,045,
661,907,997,125,452,981,315,701,850,502,223,398,200,759,060,688,355,284,262,
170,908,494,336,975,016,726,586,081,156,856,423,187,477,830,864,954,325,966,
683,972,143,022,113,428,626,118,644,554,825,576,407,857,141,819,963,230,753,
500,031,404,955,374,177,100,085,547,123,598,121,902,446,433,390,551,440,418,
780,078,221,082,755,506,623,517,655,663,198,200,964,840,381,770,114,362,515,
039,499,472,391,731,479,092,949,017,676,322,601,025,444,367,635,559,197,967,
669,615,183,812,317,363,538,691,332,926,315,206,442,653,353,253,126,127,367,
484,584,853,337,681,601,584,657,161,271,027,748,124,880,544,773,437,474,025,
398,851,281,443,493,026,721,161,877,531,684,213,901,858,601,467,396,608,897,
113,255,870,618,934,589,618,012,312,196,729,566,268,856,535,414,270,982,178,
585,259,993,283,274,382,677,921,426,621,528,310,233,057,176,537,509,353,220,
609,668,589,002,142,995,631,759,843,248,432,892,640,089,069,237,505,884,129,
944,355,176,533,622,234,922,892,254,193,519,113,704,888,361,288,722,775,453,
522,831,779,163,450,557,601,780,716,330,771,301,802,994,009,333,193,476,068,
687,951,360,720,189,769,637,787,667,209,986,973,956,199,000,810,536,869,259,
898,740,062,338,884,883,805,761,943,480,430,245,918,694,329,528,596,161,132,
588,188,704,123,581,464,756,035,976,785,658,086,591,944,064,431,696,180,092,
790,163,256,229,850,883,861,851,023,208,667,478,772,989,207,670,953,226,807,
800,400,590,814,209,647,734,790,830,711,908,322,473,863,201,556,771,680,947,
136,540,763,648,819,072,408,087,692,628,438,634,752,935,327,836,011,009,924,
141,801,141,453,872,928,776,729,755,971,274,766,106,771,033,567,457,122,246,
298,215,719,068,865,473,224,322,476,443,859,571,948,125,013,773,658,558,932,
681,394,057,340,991,349,542,130,428,672,280,869,513,110,467,191,193,037,293,
905,169,614,218,303,345,639,469,655,302,232,593,516,452,260,643,871,904,881,
322,038,350,522,283,078,241,870,991,332,470,029,977,421,549,724,065,167,615,
378,849,335,113,152,453,310,836,979,603,332,085,049,124,523,625,978,109,630,
173,227,900,398,005,011,021,188,861,630,658,720,658,785,777,082,770,609,361,
580,110,888,557,081,891,584,610,079,466,986,307,851,672,581,139,832,803,540,
637,111,321,241,968,238,172,575,643,418,968,291,760,620,464,600,311,874,370,
035,045,246,352,016,409,431,392,855,896,316,710,172,961,103,616,820,448,627,
466,099,004,381,270,967,675,155,926,774,516,809,262,738,122,860,073,108,285,
437,168,594,413,538,570,212,780,140,736,143,655,162,498,333,633,044,129,675,
761,488,692,706,076,326,003,015,725,325,843,801,092,904,282,371,505,601,620,
471,604,805,018,406,030,894,410,569,728,010,479,809,009,943,977,516,948,580,
492,722,709,128,004,538,928,736,826,596,317,774,636,080,453,269,680,122,799,
610,848,995,614,237,533,011,202,224,252,041,962,943,851,669,602,451,077,154,
355,479,193,720,886,294,606,453,207,615,552,231,919,493,708,375,493,499,120,
539,611,394,789,289,495,376,041,071,412,569,886,462,259,957,213,709,581,712,
446,179,737,992,666,942,632,157,536,520,689,740,889,389,166,963,957,796,767,
824,077,010,132,749,999,737,235,725,080,030,657,709,098,748,411,874,604,053,
235,894,619,695,846,102,630,985,156,546,004,828,974,032,635,699,298,492,106,
292,601,514,553,303,097,587,934,988,442,123,719,785,236,419,766,154,058,726,
093,796,137,797,275,732,051,329,789,645,639,619,237,472,740,000,521,747,707,
616,349,366,140,440,824,774,241,334,973,402,193,982,072,643,564,321,352,942,
939,541,324,601,537,410,474,394,863,342,736,316,630,849,364,567,986,925,677,
440,059,511,573,653,769,067,580,773,316,949,731,264,129,234,936,975,560,574,
604,345,606,758,435,397,550,774,176,187,450,093,779,668,298,434,914,762,029,
110,581,014,565,816,825,396,838,594,808,464,963,054,221,399,911,668,752,070,
687,130,551,605,233,280,318,139,491,124,585,947,894,749,475,078,468,112,347,
443,168,387,930,565,569,505,871,144,772,173,800,517,494,187,566,409,893,423,
267,711,528,524,140,878,355,121,511,095,668,166,325,405,234,395,007,292,108,
105,003,055,383,210,167,396,482,647,092,563,139,940,376,335,766,838,806,081,
587,320,764,774,063,020,748,100,563,764,958,160,068,036,421,614,638,703,574,
854,287,579,665,417,802,694,216,284,735,418,609,040,245,756,274,239,901,723,
315,944,683,457,292,093,745,201,341,507,684,991,641,041,628,903,766,434,917,
222,340,648,207,991,632,762,634,097,450,289,524,099,559,157,304,218,809,145,
587,378,510,385,664,685,556,105,043,141,410,573,082,324,972,980,105,965,042,
774,434,831,924,960,725,037,783,805,467,969,675,472,035,404,847,751,144,087,
548,764,793,706,695,264,476,347,964,241,651,060,811,967,792,259,356,712,516,
762,574,118,563,950,824,708,992,578,758,201,318,250,513,361,513,645,254,287,
123,434,429,039,543,746,985,660,744,038,132,491,642,374,096,636,899,766,668,
582,267,770,903,515,890,022,657,189,308,246,919,220,666,317,429,419,391,534,
384,119,594,311,076,015,139,420,431,754,748,361,433,887,449,295,140,602,151,
953,386,367,309,597,859,987,930,833,867,976,959,405,543,405,431,609,001,208,
670,089,344,580,758,368,881,334,268,099,295,234,158,994,766,045,546,128,725,
575,129,526,393,189,643,735,019,764,853,593,570,232,315,353,733,987,294,173,
190,220,424,087,876,369,189,985,407,996,351,371,669,850,729,651,649,577,206,
505,910,811,262,798,574,071,783,129,985,734,718,819,789,695,204,765,265,888,
885,418,611,804,817,391,553,846,821,236,378,500,588,248,852,322,208,430,183,
323,268,508,248,901,467,044,213,269,998,726,559,527,954,925,680,164,855,995,
297,209,509,084,095,077,109,870,394,826,202,558,515,551,276,203,667,479,191,
894,370,493,204,268,142,512,208,209,999,451,394,856,047,869,681,042,069,706,
531,617,056,461,331,435,400,382,929,367,708,408,423,840,063,228,245,823,356,
920,537,827,073,789,851,830,698,757,504,168,513,988,914,730,745,882,607,723,
858,136,688,696,118,049,676,611,964,401,792,629,989,688,501,061,220,652,937,
498,692,571,264,187,151,070,721,273,250,789,723,595,305,328,401,766,030,337,
030,860,790,914,734,514,068,103,321,086,345,242,234,800,713,932,157,186,421,
243,866,270,731,182,269,890,843,345,244,028,437,269,780,638,700,670,807,485,
166,704,012,345,991,628,007,162,665,176,108,073,377,161,359,488,467,248,904,
985,517,617,198,777,246,338,114,254,045,689,469,919,757,146,336,599,819,612,
055,945,355,301,797,866,812,635,988,304,682,058,108,046,155,332,443,605,861,
446,610,352,324,102,484,332,726,404,089,982,224,232,916,715,989,790,121,113,
154,135,196,248,502,578,458,423,243,220,745,815,308,920,494,184,066,964,144,
007,455,594,686,696,097,780,099,691,980,201,245,282,586,210,019,179,864,364,
555,382,298,906,884,381,002,930,326,799,933,361,038,824,555,461,592,539,794,
609,765,057,781,213,143,710,701,729,481,226,308,293,373,063,518,105,086,978,
327,075,680,399,419,782,425,253,329,749,582,889,742,454,514,490,948,185,864,
792,495,920,942,187,570,349,218,109,499,500,579,296,263,251,852,028,218,317,
422,511,348,752,012,543,677,863,255,930,521,838,414,055,146,148,862,149,266,
718,357,936,213,700,044,754,806,710,731,889,337,984,924,964,960,883,437,830,
682,533,918,819,476,959,393,756,158,303,947,135,896,765,402,426,570,777,876,
351,309,098,084,268,386,591,380,037,087,528,817,725,194,417,897,830,556,655,
737,304,581,920,868,055,826,851,212,023,708,093,154,114,008,840,319,316,867,
604,871,604,460,015,275,640,871,234,837,611,185,455,543,888,398,615,699,883,
778,618,647,271,451,930,779,783,398,539,445,392,915,809,527,779,930,183,483,
264,925,366,976,893,058,386,793,216,727,597,965,868,978,418,507,578,750,509,
473,676,919,308,201,282,918,701,586,872,684,261,086,290,690,072,210,222,411,
067,159,617,229,945,040,885,216,843,408,509,095,620,287,248,414,878,996,129,
643,013,504,908,557,280,215,258,365,728,925,646,415,064,856,522,079,934,773,
387,534,101,036,872,399,011,359,808,303,182,848,287,219,622,910,324,264,468,
956,914,167,911,559,284,011,708,096,303,548,181,585,392,960,501,283,509,712,
674,414,016,837,397,823,764,414,891,619,528,772,644,333,609,619,623,847,760,
314,481,541,385,328,703,097,931,212,094,403,852,250,394,581,502,198,838,057,
910,860,128,707,651,080,743,249,050,086,968,651,772,289,510,409,667,789,389,
660,998,348,457,092,496,887,022,567,917,325,225,164,072,035,707,161,900,328,
413,898,578,821,795,446,552,888,745,668,229,208,935,131,749,575,382,776,739,
482,217,890,506,994,105,730,820,547,895,975,297,324,851,830,878,210,693,855,
386,012,752,332,890,535,470,088,904,744,955,813,222,812,494,296,408,217,489,
171,957,075,512,291,061,676,296,648,479,322,283,901,445,067,962,226,217,321,
745,432,301,904,000,869,845,642,532,444,217,254,730,703,479,455,814,755,011,
825,439,507,231,004,500,633,193,657,309,076,104,332,469,534,079,599,505,414,
757,646,376,082,655,860,097,955,802,692,351,407,374,790,487,992,770,663,860,
107,312,750,355,122,785,255,565,556,606,834,940,233,611,122,699,363,896,279,
601,866,726,965,816,800,992,126,127,990,179,339,445,761,689,100,459,740,566,
876,591,510,682,272,682,185,018,593,757,469,639,461,737,510,066,483,384,943,
282,170,784,512,461,350,274,821,590,492,646,372,619,197,860,828,816,951,218,
430,180,510,074,442,969,849,351,027,894,923,930,455,324,561,598,456,229,282,
999,359,331,382,102,436,659,273,333,099,910,633,810,377,833,245,019,559,376,
477,964,284,012,127,000,545,443,668,500,486,441,210,755,044,779,275,577,951,
824,257,300,383,857,705,724,920,709,065,541,480,929,010,258,330,095,771,855,
822,743,011,923,738,495,413,045,742,519,025,371,260,517,784,989,058,795,336,
357,375,623,904,183,924,202,052,105,317,218,284,448,268,318,951,270,366,663,
666,088,211,135,697,009,408,949,040,778,646,492,405,341,987,541,813,154,437,
590,821,419,062,905,600,438,780,336,722,029,113,907,519,196,299,900,775,886,
568,045,022,092,903,479,420,407,668,484,177,662,872,379,526,180,886,490,675,
330,622,864,448,040,752,580,164,495,967,499,066,301,669,324,762,644,699,509,
198,959,628,757,672,003,108,699,713,365,001,347,155,865,444,905,398,693,831,
666,178,496,381,190,380,811,832,321,704,608,861,969,050,086,706,772,936,253,
043,886,206,384,771,701,555,242,754,999,484,252,539,228,121,004,344,683,639,
629,035,437,276,142,297,555,952,687,530,866,499,071,818,355,325,165,358,734,
446,827,406,098,584,003,615,320,625,804,452,970,836,232,484,396,702,351,772,
301,271,463,922,129,683,524,872,343,839,365,492,660,681,758,738,060,192,148,
107,164,463,122,437,947,215,347,981,958,442,522,336,314,935,918,786,395,489,
788,061,665,974,586,128,609,808,475,498,684,596,120,465,582,997,040,085,298,
914,273,474,276,249,225,264,922,047,273,473,424,419,546,603,859,631,115,202,
469,799,865,863,626,141,279,490,038,480,684,542,367,115,100,043,921,035,666,
145,170,928,317,542,160,706,468,059,125,206,007,767,399,241,838,888,526,522,
379,847,487,631,628,501,211,022,878,592,604,740,293,833,721,864,810,982,634,
884,137,212,360,884,776,515,167,321,012,789,667,939,820,261,975,574,035,218,
892,319,029,397,273,438,954,289,856,731,147,904,093,398,858,102,340,331,199,
147,101,153,339,515,858,776,001,050,216,391,666,690,430,481,699,827,191,603,
673,949,431,676,850,548,477,901,485,854,110,657,020,177,926,759,798,386,375,
507,664,109,904,095,904,635,160,834,969,171,896,086,931,623,818,890,948,447,
213,908,266,669,874,528,659,191,314,648,499,190,907,135,056,648,032,875,905,
818,318,566,462,527,516,188,216,805,166,829,677,427,916,097,509,970,189,034,
015,078,415,010,835,664,312,086,359,582,091,520,348,750,345,489,315,412,605,
951,212,418,354,575,162,788,844,094,652,914,800,254,301,398,191,447,810,995,
691,367,028,286,224,210,537,364,039,106,726,356,748,883,036,049,901,160,039,
064,568,469,656,061,894,621,027,556,998,648,799,138,360,642,611,879,465,249,
786,079,768,293,364,773,988,286,289,133,608,357,932,995,688,040,837,431,940,
583,727,712,927,013,456,766,458,063,065,446,029,417,202,229,382,851,181,948,
980,206,771,411,478,700,531,669,384,339,715,748,101,125,118,682,466,051,213,
314,188,244,839,364,074,477,149,897,491,443,164,182,977,585,359,108,934,940,
073,953,041,003,161,298,680,102,791,812,891,047,590,873,941,894,122,411,760,
364,522,536,958,331,949,678,520,097,735,481,219,959,562,724,459,184,403,994,
038,340,740,266,353,904,420,930,387,509,273,846,022,981,374,693,220,965,713,
618,985,376,148,945,329,826,943,003,396,432,788,853,906,011,047,261,142,781,
134,966,224,087,358,375,503,495,214,971,857,010,857,902,325,136,337,530,409,
639,151,960,552,849,028,756,652,608,815,075,690,812,452,224,569,842,689,059,
242,980,586,351,595,868,015,714,245,148,580,298,060,800,930,661,726,436,083,
759,843,591,486,120,409,844,884,379,535,023,819,166,349,969,379,535,332,891,
732,053,775,484,269,488,001,906,258,033,920,194,597,864,840,413,774,530,164,
433,699,103,867,909,083,643,835,762,532,172,428,362,745,984,125,549,686,549,
026,291,813,371,481,176,263,340,350,092,062,362,312,050,028,675,799,932,001,
238,131,497,145,131,814,929,625,085,085,301,751,520,368,149,648,764,117,132,
130,961,380,672,653,043,771,443,447,646,765,821,452,599,155,984,213,730,752,
117,250,973,950,037,234,953,571,593,151,557,479,687,255,045,753,974,987,913,
046,859,326,038,220,134,040,802,198,722,170,460,748,792,069,352,337,409,388,
824,467,270,711,281,930,797,372,266,736,680,770,393,635,007,646,483,913,900,
570,640,231,471,940,217,751,035,309,935,969,419,573,937,240,002,633,526,199,
552,377,010,191,133,589,269,185,672,444,937,208,076,948,999,823,834,860,855,
831,974,415,693,108,098,711,341,761,330,051,358,653,834,657,034,048,646,027,
233,914,988,479,470,895,848,224,877,278,120,517,674,916,509,634,058,107,051,
449,336,208,048,858,305,693,146,220,737,616,210,354,198,967,246,836,463,608,
548,514,575,604,635,776,699,782,183,369,970,121,534,445,370,871,347,364,879,
301,699,878,866,533,742,848,045,429,687,771,556,507,275,418,576,147,632,756,
336,612,885,305,051,281,560,072,827,921,554,957,459,726,737,099,277,759,725,
614,427,713,242,662,235,629,310,764,123,531,664,828,936,329,252,027,602,230,
645,575,949,915,831,961,814,397,935,706,523,171,694,181,349,382,969,263,251,
072,644,687,734,538,514,679,189,501,819,658,525,914,593,117,884,776,672,973,
361,382,857,288,573,651,698,673,041,499,877,853,231,589,717,067,201,929,284,
970,368,975,744,023,143,404,259,150,220,137,461,518,664,808,794,981,225,982,
032,043,139,727,359,431,077,267,749,020,353,571,286,088,878,793,218,180,786,
444,132,473,530,423,900,513,023,687,755,307,982,060,071,110,052,245,335,663,
690,061,657,352,180,489,483,733,103,199,515,800,463,736,117,027,932,836,871,
516,877,014,638,076,322,554,763,777,740,664,175,914,813,929,998,265,128,649,
697,827,196,717,644,417,757,549,654,322,855,925,370,235,024,928,607,921,627,
106,187,394,475,259,007,526,547,369,423,476,395,254,406,894,270,775,601,500,
365,473,156,572,654,901,959,298,095,474,264,259,478,397,546,939,681,669,751,
133,015,316,756,754,556,329,570,639,230,793,941,284,491,245,648,625,564,006,
617,395,053,588,767,358,605,082,825,152,888,158,716,442,078,711,043,267,426,
822,240,366,995,675,771,176,699,519,597,502,323,654,174,499,218,716,378,234,
245,557,466,139,759,157,905,347,342,889,864,586,374,982,792,881,257,892,428,
016,379,840,340,437,962,480,887,316,743,461,935,889,039,229,858,299,988,104,
026,332,967,152,665,875,561,091,501,447,979,273,106,280,793,456,771,451,659,
632,236,970,076,168,302,779,600,487,601,006,298,688,408,554,615,083,204,927,
669,459,190,480,419,558,812,267,881,439,240,768,462,707,786,036,111,747,716,
207,681,565,683,269,659,535,600,098,056,943,312,071,114,738,695,040,173,865,
437,756,144,686,675,595,879,139,803,681,324,927,754,454,276,842,032,857,703,
410,114,642,677,467,571,862,171,702,124,997,810,250,434,504,751,214,333,992,
355,693,710,807,177,379,530,774,287,097,382,698,070,197,044,094,755,251,025,
536,198,500,145,026,344,617,125,216,167,175,851,541,287,063,618,695,442,323,
230,512,021,269,355,118,964,126,809,023,375,714,578,073,168,789,935,568,109,
554,695,633,155,389,764,127,586,849,515,276,569,042,175,208,998,595,950,817,
132,668,546,473,518,400,968,235,347,676,296,226,969,336,507,989,424,833,510,
890,815,798,346,398,553,119,195,682,699,742,892,830,176,575,920,825,245,864,
955,269,676,487,603,600,567,714,838,897,758,792,155,301,656,761,480,098,249,
483,899,416,994,708,515,451,676,006,280,207,845,699,344,371,165,535,865,504,
307,842,960,982,778,412,087,020,596,407,868,654,525,858,806,301,509,103,244,
464,819,516,359,686,432,464,888,887,020,280,714,274,372,482,190,406,559,365,
861,996,884,833,942,866,095,356,703,063,847,016,856,944,943,203,738,395,483,
498,507,417,190,542,053,172,216,512,821,228,304,592,759,608,139,578,934,697,
837,658,107,120,474,834,363,274,547,564,245,672,238,541,537,453,793,428,006,
766,739,035,946,649,275,984,148,559,214,133,361,686,045,406,476,258,757,181,
350,316,199,639,491,678,006,361,183,179,223,018,395,417,149,449,912,673,442,
063,438,544,490,186,140,562,279,671,509,250,496,399,296,532,049,775,216,164,
255,835,703,134,756,791,056,547,766,454,932,414,432,531,135,022,713,129,521,
878,183,915,434,852,655,437,378,423,191,318,404,059,939,087,881,955,897,936,
959,505,952,151,671,451,262,828,691,779,398,471,917,771,130,130,558,296,545,
773,269,290,924,584,826,395,810,523,722,413,362,366,829,348,080,889,859,237,
451,544,813,597,143,513,537,859,236,796,379,352,524,790,964,469,484,429,454,
385,587,033,372,953,998,440,896,302,217,574,330,442,625,491,867,767,544,209,
621,358,285,215,424,366,290,406,639,500,382,118,682,948,226,439,199,225,642,
136,681,993,874,843,532,275,045,277,456,823,445,151,190,816,070,136,517,908,
024,737,323,411,264,683,963,067,203,666,217,439,985,589,106,573,724,720,101,
958,725,559,422,999,600,907,795,759,870,654,727,391,981,602,026,443,200,386,
991,800,290,723,818,981,832,797,517,072,769,562,164,471,375,924,781,637,288,
840,227,723,810,304,652,351,698,057,821,934,549,784,826,300,934,897,476,328,
605,720,205,766,240,670,564,654,088,746,240,310,931,112,552,074,900,140,283,
956,745,032,682,976,879,332,423,410,918,210,653,122,812,259,096,301,767,440,
994,626,727,717,092,205,106,431,521,521,650,725,057,719,896,642,918,340,863,
317,203,806,101,585,988,011,718,313,953,003,492,940,962,660,062,287,388,920,
246,995,469,814,831,310,014,525,695,394,109,834,632,729,109,269,607,988,301,
919,243,322,745,499,488,489,691,008,623,725,011,016,575,010,195,925,085,336,
222,970,650,406,657,204,048,614,127,039,264,205,754,593,194,096,828,693,539,
654,176,223,242,445,378,240,863,085,478,778,214,691,036,755,451,596,178,964,
975,326,039,818,816,173,728,962,325,388,960,853,968,748,008,885,264,246,253,
354,104,016,461,782,138,243,967,347,739,099,996,377,268,130,895,956,411,691,
500,838,256,420,059,896,794,302,115,562,762,481,712,716,370,925,090,412,685,
893,214,408,260,075,757,912,803,719,994,730,868,794,933,411,606,052,222,557,
919,005,569,205,844,864,218,522,999,646,074,086,693,520,662,591,155,527,508,
589,929,691,595,106,337,387,366,788,127,113,333,010,815,964,811,781,136,688,
435,726,758,795,672,753,281,193,833,119,012,585,117,119,843,900,838,129,560,
541,251,997,735,448,096,716,819,465,394,306,320,425,075,736,471,574,081,878,
644,979,707,217,074,203,583,694,045,348,949,752,142,255,243,630,793,412,322,
810,727,883,478,597,083,148,209,682,346,961,938,433,232,491,503,522,000,417,
456,606,259,677,476,939,211,976,178,711,418,716,068,464,578,475,951,187,492,
807,546,572,241,561,171,524,043,371,714,788,659,620,079,659,329,420,822,279,
098,416,494,355,326,014,529,939,692,417,689,945,590,216,570,594,183,500,517,
814,521,692,974,332,191,341,000,198,728,189,590,684,674,525,461,683,842,564,
116,926,267,636,618,948,683,030,835,246,720,662,276,309,290,473,570,729,316,
907,643,842,767,004,050,413,427,399,647,133,057,280,703,605,499,944,136,289,
539,896,766,220,024,095,359,892,057,447,022,878,991,455,420,843,453,335,155,
959,392,300,278,222,471,492,825,751,350,481,551,253,446,701,735,716,095,638,
751,713,805,842,146,754,111,538,310,654,885,304,169,279,747,269,148,660,327,
602,496,101,090,955,278,254,995,691,742,311,393,921,054,432,428,560,862,656,
476,308,888,815,740,545,626,594,691,847,203,374,002,542,094,740,685,841,442,
002,459,716,074,483,957,549,324,624,664,645,483,276,666,159,869,837,634,640,
588,043,767,841,575,820,604,224,750,460,222,847,661,487,530,317,221,444,173,
955,538,370,796,077,412,870,513,001,755,126,067,143,555,348,544,614,106,638,
458,903,811,953,034,138,846,136,261,674,988,490,070,950,186,893,718,020,661,
079,429,390,055,841,487,538,744,300,033,727,140,716,918,941,047,993,983,373,
514,734,149,158,625,212,276,889,044,057,468,591,924,875,428,715,285,654,614,
595,044,586,861,463,185,600,455,602,821,697,592,389,887,618,524,380,932,625,
411,097,765,648,206,011,203,861,185,906,095,384,492,674,495,205,108,610,847,
613,567,416,347,330,729,700,721,143,348,488,060,387,607,913,956,273,375,168,
784,868,104,492,840,788,845,015,767,065,035,980,418,467,246,533,372,175,306,
496,853,750,553,531,726,689,099,311,754,173,081,788,067,301,073,639,991,293,
404,345,724,711,944,428,131,096,626,975,014,680,198,880,534,749,317,531,420,
027,179,924,245,547,762,460,952,961,781,096,530,501,925,062,621,514,239,988,
576,220,834,632,319,918,308,282,276,765,519,448,108,969,143,020,827,729,827,
719,397,883,411,097,336,024,458,239,401,765,197,613,218,999,402,852,133,958,
469,396,948,012,284,415,010,876,994,410,134,917,890,290,001,970,443,700,690,
773,955,887,694,689,422,097,551,594,324,152,189,737,352,731,781,517,760,256,
051,786,601,074,489,664,030,889,543,030,282,396,571,385,395,592,386,904,238,
540,686,845,389,812,631,577,551,012,534,515,119,180,327,887,610,723,383,835,
274,779,284,604,735,624,494,232,979,856,639,848,529,472,408,265,742,399,362,
376,713,647,432,660,259,985,176,870,758,444,362,688,533,064,603,797,047,677,
341,510,989,961,757,091,876,631,832,497,431,313,634,967,424,842,241,160,615,
188,786,869,277,288,203,386,209,645,553,175,271,405,272,794,530,493,645,900,
244,356,508,301,255,807,868,291,285,160,629,059,803,898,249,650,862,904,762,
673,146,841,164,621,592,051,042,774,893,201,462,972,297,074,678,274,516,265,
384,687,870,018,243,862,982,439,885,936,420,852,005,641,507,338,938,307,126,
890,865,281,763,972,960,594,397,871,437,618,341,988,703,140,405,389,910,455,
902,967,820,282,165,211,395,151,373,442,834,830,318,875,857,208,641,045,865,
611,083,841,183,432,917,200,078,318,343,708,641,392,404,852,370,452,775,126,
462,679,302,706,105,994,178,078,198,282,090,617,930,966,610,638,838,037,054,
232,966,487,015,719,551,583,971,503,778,380,595,857,922,126,359,607,000,250,
542,063,472,384,600,214,421,490,450,421,841,273,536,187,945,891,312,382,698,
363,330,680,513,739,915,000,845,453,397,138,181,045,808,739,756,393,377,042,
549,885,911,973,523,364,873,560,425,184,868,551,929,195,285,120,347,862,933,
642,717,766,725,041,440,426,479,406,055,139,242,590,903,604,619,196,317,200,
904,565,825,362,637,704,954,474,010,139,014,730,736,337,978,381,234,869,461,
817,260,675,487,060,473,510,890,372,175,078,104,457,894,722,892,767,361,099,
372,123,172,959,901,496,412,490,846,036,237,471,752,173,378,117,428,213,495,
886,415,964,072,193,886,839,434,723,538,121,394,521,542,523,065,101,431,160,
567,178,844,328,183,044,653,022,445,661,877,514,006,111,158,121,751,563,836,
930,486,055,035,914,869,340,551,976,232,358,299,524,365,226,707,652,950,974,
559,172,327,521,983,636,247,363,379,711,324,602,955,696,246,936,386,543,089,
716,738,386,095,960,595,870,196,708,047,674,314,810,878,893,050,202,940,724,
335,004,338,586,387,860,724,888,757,050,804,793,139,299,260,897,974,882,026,
661,821,735,700,292,061,645,843,344,294,190,317,807,341,099,558,916,089,516,
076,319,393,265,577,295,391,761,217,392,269,600,545,738,153,169,159,717,486,
359,276,816,926,178,914,981,366,631,323,923,452,171,020,459,704,305,894,410,
377,836,844,445,365,108,391,032,411,752,376,872,276,434,100,593,402,713,964,
935,707,126,494,911,377,176,068,031,196,075,386,881,643,558,146,946,558,026,
946,107,265,304,143,535,666,753,963,083,305,372,511,115,813,808,990,094,316,
221,657,265,335,682,954,703,450,673,574,740,496,647,711,204,005,106,161,451,
663,914,663,208,440,920,330,303,132,039,259,905,044,858,545,189,928,351,278,
395,712,046,139,204,892,444,679,044,495,287,342,096,405,970,058,046,880,037,
078,972,359,860,964,001,998,738,006,056,072,878,756,909,573,305,926,639,722,
729,091,041,250,370,165,586,796,411,186,381,517,699,828,619,427,342,085,249,
376,885,096,271,500,751,290,034,213,358,973,952,857,232,222,598,248,431,608,
836,521,065,847,199,256,897,211,903,957,919,614,207,567,943,061,655,486,359,
594,153,782,526,505,274,195,064,800,367,618,262,212,503,163,241,755,904,373,
413,140,728,078,226,036,947,866,181,542,111,709,794,667,405,033,079,787,531,
669,183,330,038,179,275,683,152,986,135,132,170,095,821,589,274,190,582,911,
868,307,763,521,422,449,035,814,377,337,458,891,773,560,067,234,866,734,351,
439,524,638,249,906,895,211,094,860,424,292,891,338,963,422,855,938,271,785,
497,533,866,610,722,429,848,703,536,367,986,125,720,097,594,220,265,445,938,
632,637,664,101,395,213,022,970,867,489,559,715,764,206,402,710,572,108,125,
081,967,596,082,780,064,368,365,466,931,075,263,549,845,046,923,830,071,535,
670,759,390,527,502,339,214,058,065,844,460,809,916,564,411,131,150,630,763,
671,477,958,630,001,453,962,013,309,041,353,501,196,733,825,522,078,044,673,
539,432,758,486,797,586,249,796,085,532,371,235,551,362,623,213,632,405,518,
438,149,607,037,772,541,375,666,388,290,554,250,352,575,010,401,721,860,156,
724,690,589,024,786,489,476,434,343,789,024,879,241,086,644,275,719,679,425,
045,321,733,008,226,664,434,216,239,059,724,968,870,280,071,622,009,662,381,
766,023,450,463,319,474,665,950,027,321,939,857,157,098,257,087,954,876,953,
409,480,681,837,766,845,542,683,246,766,677,744,155,842,894,540,708,707,431,
715,001,307,865,260,102,092,476,761,940,897,680,749,117,495,118,931,399,818,
741,307,614,519,837,844,786,442,948,712,318,440,079,686,455,900,066,053,601,
817,297,465,486,325,218,442,744,288,547,116,815,247,214,467,529,571,545,591,
122,986,491,111,244,222,428,625,834,607,338,897,875,515,444,588,240,602,567,
401,031,556,012,419,191,691,120,528,202,451,802,873,278,399,413,846,455,618,
028,307,582,527,430,839,417,019,432,393,240,839,043,735,321,432,815,641,169,
652,274,421,886,040,349,499,355,571,279,831,582,659,704,347,266,653,118,589,
904,790,533,351,266,689,591,791,696,889,840,597,638,535,965,283,884,877,372,
520,446,388,827,631,048,737,469,018,337,329,136,783,098,616,881,846,473,153,
091,191,203,101,485,552,964,351,427,755,411,539,001,568,018,315,427,996,190,
595,562,712,853,308,774,075,867,312,855,179,859,186,479,773,422,020,477,531,
284,439,863,943,863,665,267,136,747,028,006,125,763,041,555,664,454,495,022,
416,887,213,915,172,224,246,610,475,087,106,251,154,316,524,532,817,964,230,
916,011,017,136,867,945,424,020,321,624,171,980,533,658,309,019,639,337,497,
056,112,823,245,389,657,549,962,681,882,203,400,416,057,236,893,032,759,450,
973,170,653,729,746,647,659,036,324,766,588,658,054,564,473,157,802,775,335,
996,704,169,346,126,558,548,476,963,022,275,598,554,987,812,210,778,567,899,
168,133,710,148,894,508,368,898,325,980,622,802,344,133,695,387,723,466,229,
876,101,011,623,967,648,418,247,091,497,832,410,270,874,015,399,895,543,049,
623,316,430,166,430,243,875,055,337,688,342,729,440,181,051,909,484,707,897,
297,018,819,861,386,236,803,679,904,528,652,448,082,961,771,106,066,694,700,
352,014,423,718,677,076,974,083,057,190,096,477,886,408,674,343,269,478,313,
315,619,781,850,251,498,194,988,827,695,888,465,693,815,803,889,042,624,973,
647,510,243,997,557,864,735,225,751,357,534,208,961,091,120,682,900,743,113,
705,060,706,608,530,650,134,660,936,299,541,983,381,209,131,027,828,772,720,
441,726,745,774,367,473,106,340,316,117,514,763,159,462,777,228,191,606,150,
893,303,068,864,648,198,726,117,947,171,233,438,612,363,950,996,053,073,873,
030,142,256,713,921,334,850,888,651,596,020,604,779,410,991,028,687,978,043,
154,647,447,161,586,975,339,040,451,642,834,553,677,998,441,271,949,332,727,
894,984,638,965,535,145,474,451,391,767,777,159,848,428,254,348,818,607,193,
521,818,667,007,250,043,963,977,220,705,312,513,217,646,698,355,946,999,363,
453,106,708,195,275,264,095,036,723,316,327,246,091,923,433,647,465,232,293,
302,083,131,680,848,514,484,640,807,995,242,689,914,194,788,960,905,749,142,
721,329,565,622,442,414,383,618,076,397,796,056,525,696,740,932,220,435,276,
759,744,214,326,865,336,561,443,054,200,547,382,468,134,285,276,214,325,308,
105,782,054,171,908,868,778,878,728,586,535,104,982,002,300,673,173,677,319,
273,023,138,382,788,958,067,443,473,692,771,552,013,855,882,052,201,836,652,
839,857,966,489,982,384,822,335,651,725,297,331,976,309,586,249,339,589,588,
049,995,607,441,278,619,317,412,104,711,549,954,292,151,640,152,352,237,481,
699,574,601,760,836,127,374,804,477,974,700,979,565,053,741,695,276,095,080,
389,522,661,926,993,395,079,875,374,519,570,622,535,370,454,390,416,061,128,
374,108,833,445,187,289,478,038,333,234,652,035,478,383,060,235,885,778,655,
156,499,085,269,976,446,063,846,659,570,931,079,049,382,822,034,594,767,343,
940,110,860,619,282,502,823,115,131,799,514,257,983,135,843,138,152,906,239,
240,183,435,177,293,490,566,601,315,424,800,286,053,905,836,565,534,390,993,
617,050,671,137,618,041,083,857,314,198,996,237,282,519,193,330,244,582,210,
004,635,768,447,804,282,892,166,991,807,451,888,085,870,673,491,636,893,923,
991,002,145,007,895,247,277,553,625,115,800,534,869,790,877,168,487,910,990,
895,354,073,547,468,002,406,645,996,770,048,972,926,509,529,956,358,717,813,
336,198,021,155,290,610,029,449,774,745,025,240,581,152,039,334,445,605,772,
159,823,451,084,817,775,643,817,773,003,279,554,730,009,866,552,676,467,530,
273,184,228,755,138,972,281,850,903,325,118,913,909,329,665,881,823,382,482,
695,270,295,167,552,865,236,327,535,600,203,272,646,604,074,013,975,058,319,
521,275,728,000,900,370,129,123,607,689,256,237,113,968,744,601,772,838,103,
392,166,823,307,243,015,171,469,185,420,840,490,796,041,316,818,500,888,080,
352,972,256,337,532,900,068,853,357,392,256,067,574,100,336,589,791,442,959,
963,047,233,531,364,730,185,805,216,461,533,466,089,741,938,162,352,878,786,
222,095,421,387,208,011,275,509,649,954,838,131,915,588,818,452,345,540,371,
398,012,138,340,914,107,150,947,613,594,995,357,849,524,843,118,545,103,068,
936,019,027,904,272,898,721,767,303,025,539,818,972,958,373,606,419,009,840,
672,970,066,769,535,840,075,428,261,782,934,895,175,749,001,774,541,363,682,
617,583,432,715,663,035,471,272,562,660,858,631,828,378,060,074,243,283,242,
747,230,501,002,727,807,399,236,153,303,722,498,465,566,105,775,783,814,019,
659,096,469,595,436,341,934,523,347,019,339,385,971,082,809,602,168,833,609,
509,594,158,107,447,460,269,296,488,547,904,750,434,231,435,403,897,324,069,
721,696,348,851,224,396,337,418,555,092,102,455,500,182,638,259,752,010,096,
360,214,545,126,493,856,093,780,348,720,757,631,720,352,852,244,355,195,691,
741,466,087,129,829,290,079,713,121,972,462,356,164,830,117,213,204,964,828,
240,430,014,773,293,506,207,967,755,912,103,119,177,076,085,457,109,365,734,
721,336,295,484,750,611,347,132,854,232,773,225,345,622,388,639,275,977,827,
559,706,979,638,630,400,243,988,474,875,575,127,164,880,725,309,749,971,437,
522,042,789,185,144,891,444,843,374,936,096,092,693,942,031,537,024,431,934,
407,537,814,455,302,824,018,627,315,299,029,854,042,455,537,218,595,104,770,
353,890,542,793,795,456,460,799,619,887,381,381,871,511,411,881,441,636,928,
079,049,429,754,353,110,131,363,172,477,841,291,185,275,510,009,440,429,087,
614,370,674,585,859,584,370,277,320,066,894,810,171,221,620,957,181,985,475,
810,638,206,799,242,981,455,873,457,839,457,691,950,538,686,633,850,821,470,
386,162,894,180,602,407,330,333,965,617,364,862,085,540,073,594,067,462,940,
868,910,375,799,790,612,159,270,470,296,642,948,524,549,149,266,141,154,273,
392,981,189,172,802,280,118,395,769,378,920,561,189,980,806,012,193,654,000,
245,179,823,522,290,444,070,499,655,446,681,228,794,657,901,466,629,099,036,
551,752,229,172,750,262,995,355,685,402,662,274,149,594,852,160,251,442,078,
098,887,449,735,144,421,614,346,298,828,229,544,092,022,737,729,408,134,726,
195,291,935,701,962,935,119,634,744,340,876,996,440,018,316,367,121,781,349,
456,097,567,446,782,584,153,112,119,575,303,148,869,112,980,808,065,510,759,
030,997,393,534,064,264,928,607,028,265,223,292,547,516,142,583,119,881,280,
223,990,623,132,934,433,653,636,480,353,471,427,769,922,458,361,988,169,545,
692,132,458,823,788,689,375,536,282,933,421,443,876,912,270,369,285,656,443,
982,243,949,106,133,640,833,295,703,157,043,889,948,141,615,602,038,809,969,
293,263,305,352,866,929,402,404,540,401,110,996,062,326,617,900,979,976,306,
916,410,863,943,728,036,714,298,441,916,982,701,672,063,158,507,771,794,898,
696,211,619,190,167,724,565,531,314,429,008,185,537,760,745,177,901,515,113,
716,402,264,075,555,797,344,223,652,340,722,582,216,035,405,401,640,791,931,
328,737,702,762,865,772,938,004,154,300,184,138,544,685,018,874,856,634,717,
546,702,299,509,206,568,923,868,243,099,404,539,414,753,022,555,463,795,590,
736,334,805,518,435,729,720,901,395,851,846,613,779,742,973,529,262,085,136,
319,225,273,779,141,159,267,112,619,518,162,172,957,271,058,300,438,165,574,
551,146,035,752,152,457,536,283,221,567,655,751,977,585,887,741,434,834,760,
872,666,395,106,602,419,990,016,334,004,359,908,289,118,432,879,758,488,456,
139,800,961,772,155,757,733,887,644,241,857,803,799,632,490,750,939,050,700,
048,389,404,091,623,883,698,614,044,518,856,779,062,229,284,917,799,661,453,
807,546,867,350,578,721,575,344,099,749,717,250,857,081,047,295,898,274,268,
579,602,042,866,652,223,322,998,534,565,276,146,133,974,952,554,215,466,128,
533,485,631,225,861,572,365,612,598,232,184,983,950,254,902,638,713,420,856,
401,096,801,060,384,443,327,324,674,125,025,593,965,211,805,301,717,722,401,
492,491,515,651,343,956,749,608,835,418,955,805,796,808,324,504,021,778,158,
574,418,415,373,862,307,757,388,788,978,741,850,662,244,900,197,389,019,716,
954,847,433,336,408,363,760,061,743,146,765,741,084,695,750,196,013,944,383,
670,263,585,960,097,889,685,236,028,626,924,468,927,558,642,360,329,791,331,
851,590,727,752,587,762,575,369,516,499,853,938,974,522,644,959,515,806,722,
936,869,411,632,001,227,638,573,898,108,038,936,050,828,881,143,235,045,884,
125,493,933,476,008,511,578,278,764,052,180,188,218,608,301,974,019,755,307,
013,820,688,450,997,411,303,010,418,590,562,492,977,800,250,072,228,068,755,
527,391,332,597,795,642,251,572,491,196,541,796,679,847,138,435,512,621,861,
130,774,775,919,851,200,821,604,079,213,237,869,455,381,091,085,226,727,183,
178,403,529,179,774,317,853,164,680,107,432,344,364,160,902,007,608,296,187,
258,291,704,798,269,863,930,947,777,038,240,496,320,369,979,350,622,270,872,
716,552,969,678,023,709,104,711,517,279,773,814,789,397,211,647,428,062,275,
234,767,053,746,473,464,785,079,642,317,681,453,024,651,326,319,470,584,227,
287,722,182,445,600,365,725,452,152,869,375,942,925,478,991,429,747,972,955,
249,036,839,998,305,038,214,769,998,878,196,444,594,644,800,089,821,673,370,
820,588,347,166,048,016,671,023,628,405,031,914,699,708,782,904,491,923,068,
656,404,743,418,688,423,319,381,711,657,778,124,674,285,059,743,556,801,633,
785,667,859,296,379,978,228,964,660,793,755,132,707,434,489,642,180,898,457,
505,202,396,918,600,304,581,259,579,464,927,914,743,332,432,448,587,926,289,
104,991,336,818,423,645,751,382,871,449,297,433,493,630,328,415,849,155,115,
450,196,556,752,922,853,171,467,669,856,868,247,148,971,170,402,176,135,530,
131,231,388,513,506,932,319,461,980,084,935,058,271,731,979,373,142,104,947,
789,676,807,268,559,725,051,060,361,537,097,837,567,183,659,253,747,505,391,
990,582,750,227,339,597,838,019,511,281,743,489,060,080,519,200,085,943,345,
863,959,300,932,824,502,721,956,500,332,888,683,435,238,920,577,355,488,953,
014,080,045,179,615,522,193,288,191,601,830,505,454,772,802,866,265,778,136,
622,637,375,986,949,483,512,769,736,897,059,116,534,371,267,602,218,917,632,
816,501,244,099,348,928,390,372,840,000,691,182,199,686,058,834,216,470,173,
175,217,277,469,024,961,793,346,065,036,700,932,449,934,414,139,693,314,609,
035,574,052,219,184,577,810,634,224,449,132,360,828,014,473,594,154,706,665,
074,076,180,303,893,145,142,778,437,729,282,893,555,930,931,172,782,375,191,
739,377,619,522,372,788,825,487,447,859,605,922,711,032,150,006,059,630,193,
068,441,803,717,457,171,410,371,443,393,734,214,995,772,135,833,620,364,228,
931,048,265,952,730,835,817,725,172,769,439,830,661,155,287,926,402,545,476,
711,968,749,471,868,256,559,329,271,964,085,338,485,958,502,841,277,688,544,
177,640,659,509,765,689,277,120,766,771,019,558,170,058,289,837,346,375,291,
128,594,165,444,108,249,405,154,408,208,371,770,197,976,987,943,680,557,333,
487,406,668,149,831,753,644,666,599,931,988,449,827,388,079,897,339,784,900,
707,954,143,301,580,501,388,096,465,946,990,306,035,508,771,821,833,595,584,
477,508,441,659,671,477,761,722,183,248,245,824,950,005,902,289,125,227,218,
260,693,150,763,110,581,586,741,516,504,146,789,396,649,773,182,282,260,567,
626,266,805,459,862,785,994,238,279,500,653,719,325,592,676,864,323,241,281,
295,880,830,291,957,563,326,536,794,359,695,543,128,659,003,615,821,655,326,
805,401,469,497,317,671,080,990,237,050,386,626,492,065,165,246,102,489,513,
135,634,055,933,124,526,267,747,456,745,561,110,466,854,198,169,680,084,494,
676,192,295,840,845,059,090,941,792,273,844,807,570,125,643,832,835,567,158,
691,735,052,688,143,735,808,839,842,734,361,329,075,685,835,142,917,477,764,
220,777,124,513,453,387,173,811,382,842,921,114,010,284,856,469,642,175,294,
711,394,760,918,793,612,335,215,207,662,351,769,079,976,328,761,383,228,445,
459,552,674,720,313,155,995,809,725,189,603,157,561,902,227,909,501,542,656,
103,426,035,928,454,584,823,066,632,274,315,758,426,466,482,252,748,325,455,
500,998,248,788,364,132,120,490,609,410,238,317,178,078,267,213,821,458,736,
780,459,587,023,730,850,236,457,527,860,157,982,216,386,563,590,644,109,724,
903,211,401,903,669,238,246,939,511,399,415,791,981,826,056,330,641,376,991,
133,966,601,960,907,731,274,638,072,196,401,235,942,835,688,416,689,607,987,
385,828,582,371,661,346,464,790,268,750,786,840,071,567,663,118,568,812,746,
401,115,711,367,423,778,878,509,884,010,962,207,609,166,651,972,515,441,988,
473,755,511,991,034,597,431,177,147,465,445,084,882,700,428,614,832,422,306,
005,815,539,495,721,402,942,062,451,051,782,657,023,833,812,575,575,265,821,
331,737,458,209,617,395,749,430,768,584,316,082,793,918,442,907,660,034,940,
440,182,917,885,741,302,443,091,798,633,197,288,034,896,061,437,717,307,491,
115,559,429,096,021,296,300,097,502,293,214,705,687,858,068,460,006,829,839,
020,958,934,153,137,193,844,187,564,342,172,336,582,618,630,004,667,141,572,
768,765,664,180,780,270,623,870,374,250,433,422,867,209,576,488,084,959,442,
713,596,625,021,572,453,594,284,968,355,487,761,965,073,993,644,087,989,640,
017,436,992,824,588,013,419,147,078,125,565,855,316,403,242,919,254,501,565,
964,132,451,141,338,012,369,473,630,949,272,629,310,928,869,844,125,664,992,
379,669,761,617,628,677,032,238,386,740,815,716,289,405,907,662,975,712,140,
911,246,974,865,715,813,364,155,178,486,526,447,735,988,839,961,427,234,739,
283,199,478,058,448,695,320,194,921,645,153,188,578,374,465,820,833,842,364,
327,617,376,934,642,480,534,989,542,276,999,507,422,486,256,949,018,469,327,
068,028,024,703,538,479,705,142,107,549,307,938,763,031,027,338,814,854,286,
701,491,176,979,129,178,829,187,022,532,856,781,154,947,465,868,995,946,693,
524,961,859,465,256,211,659,130,647,303,707,789,743,905,177,454,838,254,855,
508,399,728,089,864,009,829,877,394,657,485,143,177,670,500,483,759,414,856,
833,579,657,331,355,521,604,065,034,848,350,547,547,882,392,326,305,582,417,
757,111,189,094,429,455,995,366,397,050,684,256,952,704,947,486,436,062,689,
259,663,404,528,027,155,993,075,707,415,032,205,684,771,674,888,349,475,945,
975,177,800,399,119,608,090,121,064,094,711,413,707,469,935,463,419,039,688,
383,828,070,916,723,640,455,613,244,014,409,341,017,649,566,873,668,992,524,
611,883,234,931,034,063,120,133,788,077,657,970,000,631,005,100,199,673,013,
713,110,265,873,891,661,987,400,470,506,860,373,570,089,569,444,543,253,716,
937,586,109,680,776,549,069,678,205,702,992,536,622,834,381,340,440,539,725,
698,180,436,098,218,639,001,341,594,185,873,783,151,787,286,451,028,600,780,
685,666,258,928,714,447,183,387,886,124,251,927,733,077,373,227,030,174,134,
796,350,283,732,041,242,598,235,126,915,236,012,059,946,603,467,914,036,612,
148,771,812,717,321,852,443,196,537,648,677,657,794,289,891,947,336,813,442,
058,551,178,280,941,370,282,709,634,237,800,662,534,813,403,671,105,987,998,
712,064,960,984,163,701,444,359,199,096,439,212,466,391,296,971,131,988,079,
565,895,806,491,451,319,743,627,755,450,823,810,596,935,403,417,806,716,572,
800,290,924,978,673,463,398,909,767,603,188,615,788,027,872,502,188,730,101,
155,320,179,712,409,615,208,233,308,560,640,748,435,743,605,137,922,556,567,
182,494,392,624,533,729,022,209,189,559,412,616,916,916,739,227,583,806,022,
409,800,239,544,955,447,887,549,729,962,667,734,670,601,480,327,371,368,334,
566,605,070,210,458,485,761,908,668,298,004,046,943,513,130,528,708,871,582,
480,899,136,945,520,220,646,752,640,937,316,040,050,672,692,023,364,553,550,
327,209,839,602,364,600,514,832,938,789,204,922,864,197,055,640,176,797,657,
785,970,321,433,585,020,348,045,152,274,117,381,326,713,706,933,500,638,897,
895,265,387,661,221,205,444,599,438,286,444,701,778,391,121,529,531,591,963,
607,797,835,708,625,465,534,482,578,884,145,261,252,960,129,196,532,602,238,
857,144,982,183,357,530,512,001,490,309,415,874,486,135,773,955,337,403,807,
323,557,685,989,401,641,796,564,950,153,344,983,662,355,535,029,142,900,909,
596,031,458,075,829,186,100,277,218,017,488,411,691,171,559,327,447,152,142,
954,827,418,051,626,213,549,786,563,935,004,703,700,212,463,013,869,898,964,
284,765,490,695,358,422,163,751,368,405,791,920,057,509,414,359,101,324,189,
146,026,389,437,935,760,577,934,792,541,022,761,534,567,076,147,684,833,010,
385,478,846,414,165,418,670,917,727,902,081,049,711,394,928,489,250,638,805,
276,507,927,632,556,471,219,047,201,343,347,073,164,390,810,797,652,941,093,
631,915,887,659,060,012,589,767,185,766,628,528,131,348,146,187,516,474,044,
589,489,595,879,755,990,152,301,303,462,515,232,702,586,169,093,720,747,787,
569,202,153,590,743,591,884,315,714,717,845,653,497,692,756,797,607,474,201,
390,104,492,015,336,129,851,752,815,313,692,096,270,543,610,410,866,287,220,
877,992,369,122,409,236,883,322,592,116,409,750,738,280,304,005,905,000,188,
674,339,476,734,256,870,230,439,375,833,054,909,302,773,146,790,858,016,450,
845,386,070,795,293,659,968,976,428,656,212,738,264,404,411,448,475,741,475,
070,360,915,206,146,254,465,851,054,057,092,594,552,898,140,341,361,410,537,
644,981,464,857,724,437,928,639,352,515,018,444,131,976,278,327,817,732,946,
911,930,721,572,699,273,405,103,157,048,700,181,193,444,484,173,792,246,889,
026,483,450,826,056,236,365,469,239,314,985,552,380,362,998,164,703,294,678,
666,785,094,415,029,797,573,402,392,075,536,100,242,902,943,057,730,272,778,
700,879,839,384,159,261,294,796,011,275,025,440,216,548,195,021,444,446,299,
074,877,590,178,148,815,277,905,069,932,453,229,151,614,925,716,664,568,316,
647,636,217,620,684,923,021,911,335,182,641,990,973,142,501,639,736,659,533,
810,911,885,936,640,679,339,672,229,400,517,572,775,149,946,931,993,933,865,
591,514,665,897,839,510,488,319,733,398,212,228,210,395,385,909,549,968,215,
423,083,098,826,063,496,281,610,914,174,492,237,048,450,676,525,496,699,416,
410,037,846,524,745,268,546,083,483,900,215,751,734,393,133,979,584,220,975,
360,957,465,514,091,244,823,444,357,456,771,989,791,641,346,147,207,316,599,
843,307,071,972,274,000,892,872,995,313,534,089,775,124,813,975,509,827,097,
341,288,235,827,052,335,988,748,812,874,137,088,683,994,708,249,278,469,059,
911,191,326,581,618,303,246,794,709,420,990,970,592,759,089,206,614,940,111,
921,968,535,139,246,454,696,301,147,815,157,473,610,530,996,928,640,284,572,
069,406,725,499,412,251,828,793,657,470,922,798,229,038,503,376,605,054,643,
516,627,416,564,918,810,005,331,859,294,637,615,881,428,319,001,307,527,927,
415,827,991,652,235,949,033,040,704,025,646,434,417,759,034,657,098,110,082,
965,743,395,074,260,111,401,270,884,758,926,585,959,051,094,279,662,780,487,
250,339,438,189,358,244,490,662,506,935,919,007,410,112,650,399,387,650,335,
284,336,952,304,403,851,414,551,248,363,479,308,937,420,447,589,979,430,908,
638,477,739,206,896,845,212,527,787,434,227,640,888,802,068,531,521,916,528,
106,740,884,472,800,893,518,215,254,133,483,196,686,213,922,273,748,342,294,
895,204,787,199,666,644,840,998,210,487,572,139,790,906,428,946,961,700,769,
331,616,548,529,020,039,815,488,513,777,025,595,381,590,523,698,419,731,758,
992,173,021,717,116,755,863,701,751,920,710,675,411,308,245,902,685,121,853,
086,899,131,939,509,562,065,144,559,293,506,223,992,621,356,920,762,975,842,
876,826,519,296,916,138,720,096,490,833,154,858,902,108,335,643,651,717,893,
809,058,321,878,267,660,242,721,874,635,812,664,588,362,597,509,066,110,026,
135,100,220,054,886,017,750,441,520,860,938,588,260,821,070,472,972,479,718,
790,408,526,189,314,219,792,052,117,277,610,870,744,381,675,530,174,383,025,
177,275,188,279,050,992,487,871,435,781,122,156,175,579,386,012,336,662,497,
310,800,618,136,986,494,869,710,553,798,933,965,954,440,358,778,762,671,039,
906,488,174,508,867,665,390,229,989,929,907,766,205,640,966,157,640,294,217,
683,465,051,465,348,059,023,979,272,818,355,151,363,062,703,211,314,407,026,
492,736,446,384,248,297,714,312,898,583,627,590,117,355,133,615,041,578,310,
673,412,920,803,776,651,953,902,437,897,764,382,053,139,941,393,512,760,429,
385,148,395,736,955,745,070,896,910,439,775,359,958,371,120,960,669,782,312,
894,172,200,486,027,924,402,459,008,132,532,728,115,530,291,004,325,507,129,
979,002,859,787,394,765,288,830,579,031,374,019,084,607,219,324,918,255,083,
516,822,917,209,830,421,231,825,872,909,535,400,922,470,461,937,242,842,716,
777,269,695,340,522,483,749,525,752,013,897,659,422,330,671,000,887,781,661,
189,441,316,199,683,684,045,727,050,350,324,043,276,356,162,510,435,874,508,
575,089,316,122,598,425,930,119,074,598,856,547,802,238,038,248,198,459,346,
097,921,883,905,483,351,058,367,879,612,236,120,515,708,835,137,017,116,254,
797,534,231,168,323,814,555,641,246,559,475,543,421,851,462,323,454,990,653,
475,697,685,199,370,665,490,411,221,229,943,173,358,429,067,615,386,121,994,
588,549,621,360,576,490,714,907,661,552,708,826,569,680,495,297,790,036,533,
120,208,693,386,351,518,266,367,754,966,976,773,553,727,003,588,263,120,240,
542,084,840,359,821,057,778,384,200,393,792,700,844,973,182,957,304,744,975,
501,502,958,861,538,251,029,765,342,976,388,475,319,005,385,317,746,278,677,
310,462,604,509,014,241,030,576,366,332,563,949,944,889,881,960,898,362,940,
419,424,826,635,703,958,808,080,083,603,249,698,423,799,045,846,782,429,190,
882,419,884,406,595,648,436,131,066,299,629,720,268,740,102,630,475,540,464,
721,909,888,517,257,295,250,635,574,790,207,555,784,100,855,940,665,728,293,
206,018,640,915,670,824,972,558,900,257,022,668,549,995,438,216,665,388,313,
133,355,785,613,997,110,352,321,263,749,332,642,231,947,666,843,131,991,865,
001,033,472,641,895,820,931,783,103,675,955,732,541,284,882,366,209,954,944,
331,030,019,540,515,681,834,579,657,651,434,403,951,503,056,079,746,553,128,
732,966,098,952,055,307,757,131,989,616,865,906,723,918,892,753,370,440,775,
334,581,437,191,917,119,111,554,064,929,281,239,975,405,669,832,028,921,063,
528,436,729,113,287,351,914,367,720,025,630,998,582,868,606,253,109,406,349,
650,731,911,756,680,885,689,713,772,248,717,446,726,647,951,877,781,396,072,
875,046,092,035,690,282,479,304,056,377,946,840,619,562,601,864,748,167,997,
734,364,272,352,010,501,741,818,567,368,974,343,379,218,553,185,763,877,610,
663,685,895,514,951,498,703,729,687,031,125,835,456,654,425,421,669,036,263,
476,215,472,701,880,154,222,542,091,671,094,847,002,121,902,686,976,111,942,
232,942,204,288,134,160,279,911,074,629,929,955,015,077,211,396,519,404,922,
362,269,736,857,321,887,880,915,658,177,537,909,602,422,894,885,321,407,859,
074,338,869,491,788,716,038,247,291,962,860,937,921,390,930,192,590,430,397,
028,717,489,684,767,162,773,190,067,726,896,694,633,544,872,476,118,393,776,
377,929,920,038,814,302,980,841,024,925,322,465,937,481,431,305,846,436,993,
637,689,266,485,111,986,474,983,674,823,449,956,016,604,538,871,160,672,149,
165,622,588,862,387,998,430,746,836,469,509,981,079,721,341,141,777,045,981,
228,000,776,844,415,133,113,067,991,300,864,124,563,331,658,934,064,369,180,
181,022,930,992,766,116,830,880,836,496,741,878,366,928,213,894,598,046,561,
117,652,444,052,021,791,017,282,574,531,012,285,597,363,862,778,623,628,494,
410,336,126,474,937,940,811,347,743,915,143,871,503,248,796,453,566,243,550,
588,101,360,804,885,083,679,303,213,191,146,363,054,503,089,599,029,994,541,
769,349,256,656,375,390,744,699,851,098,366,673,038,721,952,993,972,743,877,
200,157,999,162,894,367,576,941,811,177,674,597,197,894,265,689,044,753,549,
181,612,877,189,400,877,239,658,910,966,104,455,204,833,058,354,251,480,713,
637,269,872,020,842,329,345,261,470,156,833,609,544,300,760,435,535,783,394,
839,547,938,325,971,923,010,836,427,089,160,939,605,757,252,956,629,642,075,
415,005,676,043,787,650,011,557,682,087,679,208,017,155,993,692,191,687,701,
306,920,019,447,440,622,651,619,778,591,913,025,755,280,204,002,709,201,139,
019,439,283,235,091,661,385,240,793,574,863,439,206,716,080,152,482,283,978,
492,243,753,515,305,640,550,012,195,232,506,591,364,089,101,125,006,712,285,
249,102,601,256,587,602,656,248,675,760,901,626,905,383,601,201,454,243,847,
387,635,935,999,027,473,190,058,296,852,602,947,567,215,339,267,200,045,952,
914,823,982,891,218,869,232,415,908,373,287,783,452,410,996,510,130,980,606,
622,787,998,874,481,578,172,654,136,843,900,347,067,687,147,920,818,888,394,
036,115,346,606,710,551,703,842,326,227,362,994,986,319,116,156,155,011,260,
726,788,930,732,210,498,558,282,074,187,735,014,764,417,397,133,609,735,162,
753,859,875,958,943,263,302,555,398,900,591,690,495,178,658,476,029,047,025,
590,679,929,841,475,525,919,273,106,857,347,550,677,016,818,478,536,056,994,
653,572,031,086,817,139,578,248,074,549,519,278,182,269,827,559,524,853,471,
351,800,700,109,064,934,777,299,649,412,062,817,510,893,126,022,958,406,673,
797,771,654,472,628,403,388,051,484,339,735,212,791,018,181,721,006,304,695,
770,774,225,559,970,777,380,549,256,660,369,426,674,620,440,328,512,500,346,
583,516,527,420,182,681,915,097,767,957,842,499,371,117,188,114,671,150,709,
120,547,208,192,336,445,135,513,537,057,723,919,328,149,041,936,895,615,573,
202,440,088,678,139,922,191,753,817,204,988,625,650,840,199,117,323,478,742,
425,764,580,965,037,207,375,994,385,024,971,614,458,450,353,899,295,309,012,
116,869,803,089,006,159,625,414,601,765,958,179,704,696,894,891,429,723,547,
731,049,986,069,679,575,119,181,662,420,452,495,914,728,335,085,908,668,730,
425,444,036,862,274,554,771,283,234,582,426,297,959,494,621,229,087,583,997,
477,971,106,645,665,545,210,825,106,167,618,784,229,940,733,352,286,034,825,
455,772,324,955,716,972,209,286,957,967,421,998,432,833,206,673,649,041,251,
671,791,981,093,083,092,127,557,044,215,357,114,323,973,735,333,196,974,106,
494,534,268,048,196,858,211,298,016,925,156,426,780,360,765,322,106,457,436,
539,867,240,176,511,812,324,227,452,795,022,836,920,611,603,269,253,270,244,
405,271,954,058,481,238,395,411,460,124,316,108,011,017,717,500,068,430,762,
968,373,295,876,571,746,284,335,638,561,647,047,376,466,956,604,678,517,722,
513,788,101,983,309,705,955,725,377,244,505,351,079,411,408,062,887,010,219,
061,349,576,131,317,254,425,310,340,165,466,807,957,786,579,337,555,911,214,
361,668,783,882,574,150,770,095,110,869,069,543,723,482,572,026,200,758,115,
501,038,504,670,782,741,922,807,845,344,563,033,743,373,479,032,413,717,773,
375,963,659,055,166,046,219,080,030,456,672,838,481,643,551,408,782,177,739,
569,543,131,867,818,577,905,253,096,489,471,085,247,252,833,441,801,900,179,
887,797,923,788,312,137,286,870,935,848,888,072,805,180,308,139,010,113,391,
981,269,619,881,271,191,645,207,994,139,163,114,707,799,030,639,114,142,440,
649,799,238,251,295,834,429,304,752,236,666,465,064,287,765,843,016,810,786,
671,569,269,657,356,467,592,013,800,734,732,350,412,832,172,147,289,421,351,
341,782,894,212,836,605,695,292,167,809,317,171,896,496,815,410,972,064,680,
433,384,850,200,727,840,624,005,002,111,568,832,887,172,393,313,468,329,350,
934,063,588,209,902,695,416,262,936,467,781,548,529,648,995,000,494,104,352,
662,454,552,261,177,113,141,035,223,062,030,459,171,203,679,316,031,418,827,
246,980,974,116,687,840,062,037,050,137,941,699,726,803,313,544,704,007,392,
987,893,962,518,978,260,174,714,866,241,653,484,208,596,863,051,181,989,477,
392,733,288,832,210,210,208,904,252,973,324,369,882,126,375,597,227,585,355,
246,858,879,296,877,642,909,118,171,816,932,144,849,951,795,489,313,917,115,
092,029,237,659,177,482,767,073,776,424,727,220,820,920,501,724,975,220,339,
475,591,404,625,243,222,935,598,652,637,656,458,184,464,022,888,803,105,976,
043,985,270,874,334,173,828,119,975,361,882,218,734,592,208,300,859,160,897,
100,048,481,670,900,303,686,198,129,340,008,119,215,548,726,174,728,735,809,
396,083,857,681,664,099,048,517,592,420,748,857,069,742,064,951,544,962,007,
551,952,686,299,013,246,572,765,146,196,105,353,568,691,857,600,714,849,066,
698,819,968,349,846,578,752,437,191,563,922,110,655,927,490,642,380,257,066,
752,597,041,996,735,014,965,785,087,372,789,880,756,053,342,703,307,793,264,
069,222,124,794,540,606,047,568,925,660,855,700,523,767,748,115,728,953,915,
625,896,852,993,358,752,814,149,811,636,705,776,785,778,272,750,989,813,694,
088,737,460,292,711,747,842,828,131,793,028,735,222,750,013,172,309,844,296,
213,650,405,146,606,679,464,553,787,730,219,230,386,238,617,823,849,334,759,
804,700,184,841,882,255,513,366,554,232,897,306,131,977,473,600,674,707,623,
184,853,979,239,719,484,444,262,715,119,071,611,204,937,462,235,050,467,273,
172,418,426,395,216,175,779,720,547,410,371,174,578,513,680,554,556,413,016,
166,904,017,169,968,898,609,274,753,632,163,877,734,594,631,687,881,534,440,
024,609,830,624,365,602,293,610,807,032,479,744,065,335,932,003,352,810,066,
183,180,113,706,998,634,104,591,470,897,313,836,453,933,869,153,394,743,469,
251,100,119,927,919,264,371,834,035,536,797,127,417,125,421,584,910,927,234,
639,286,294,759,655,333,269,132,783,990,855,058,540,618,554,844,379,610,005,
685,958,944,206,978,132,329,051,493,855,949,140,943,493,729,004,075,440,495,
046,842,724,385,977,767,115,089,923,390,902,570,411,649,230,981,536,114,969,
570,914,339,001,324,181,703,628,543,553,406,216,448,808,601,947,791,362,165,
619,089,610,698,803,087,376,433,469,826,220,069,659,876,509,300,885,191,394,
212,723,843,262,767,850,567,148,965,748,622,021,512,042,585,778,802,084,394,
964,925,677,636,160,786,986,151,224,512,666,428,943,935,083,032,394,174,047,
753,060,228,186,524,682,289,885,666,192,880,469,557,138,331,092,170,327,918,
274,159,209,862,532,198,642,878,246,096,181,441,410,624,626,078,973,094,239,
081,993,842,024,159,953,728,278,891,303,948,329,432,620,572,012,970,371,356,
198,753,234,651,393,938,470,027,755,067,087,576,918,488,925,303,641,564,239,
805,074,798,520,260,294,194,868,641,701,648,862,312,437,690,433,948,210,738,
121,994,964,818,187,309,544,684,023,574,463,112,088,627,123,203,122,484,215,
847,704,538,201,852,040,610,088,426,286,942,860,006,469,901,306,661,106,473,
014,796,839,752,591,182,388,627,817,006,298,295,618,718,697,735,816,658,035,
691,513,724,941,159,622,527,413,918,842,742,027,023,220,396,697,323,762,210,
964,110,943,737,853,002,161,218,831,257,880,716,049,219,933,706,572,930,192,
184,762,386,245,102,344,178,539,218,610,364,715,858,366,111,372,034,717,557,
326,378,310,203,434,486,120,430,440,592,579,582,476,092,363,345,588,999,566,
634,206,288,278,331,747,183,500,953,639,959,005,029,621,211,443,601,911,339,
755,349,922,786,545,114,905,229,103,592,524,272,658,200,486,424,556,291,488,
464,943,421,743,856,905,810,691,673,226,373,008,950,838,659,225,824,510,942,
186,077,100,643,669,559,931,405,476,396,355,786,713,502,683,575,406,073,499,
657,911,163,180,915,514,926,284,422,203,440,274,867,706,090,458,727,351,366,
283,141,032,280,518,923,564,770,416,701,439,350,789,152,612,311,756,216,057,
444,417,731,267,359,560,363,779,147,855,882,478,958,290,138,851,050,081,259,
629,481,032,273,718,673,736,057,422,445,100,669,080,057,370,693,790,283,457,
976,994,165,464,796,851,913,009,327,803,277,669,541,248,761,240,958,901,257,
136,075,520,205,944,835,125,734,376,041,933,309,302,749,534,409,370,440,675,
594,904,635,270,049,617,260,658,208,457,465,591,879,321,932,830,295,776,633,
324,418,106,477,490,408,067,575,370,800,869,231,225,979,362,869,163,157,838,
327,214,339,736,417,520,597,338,224,312,994,553,144,774,207,322,825,747,594,
318,498,089,150,099,834,668,675,144,533,350,308,526,450,866,369,551,139,303,
390,214,332,000,558,680,568,343,247,980,015,394,722,850,188,340,918,787,943,
529,164,379,047,842,000,443,547,682,224,757,250,855,358,138,355,877,504,880,
903,623,534,983,947,951,135,451,613,602,567,618,408,043,893,111,059,067,375,
544,328,505,253,819,041,533,547,092,085,025,069,365,801,854,019,991,410,813,
204,204,934,537,978,551,481,307,689,329,050,640,558,915,043,453,232,681,536,
674,456,773,084,314,920,858,590,588,379,821,687,392,366,166,843,405,419,010,
050,208,329,896,628,317,545,127,093,775,208,945,103,269,344,187,161,377,927,
057,203,910,297,008,392,280,821,305,941,379,720,186,650,395,678,346,318,112,
679,128,105,672,027,491,856,969,057,423,207,292,454,644,869,057,212,852,828,
744,042,432,015,056,945,863,372,072,632,329,682,332,844,059,037,253,229,873,
073,021,266,909,829,622,462,426,134,011,589,167,475,822,447,530,901,336,312,
160,916,456,127,294,245,030,224,655,997,989,405,076,720,496,408,523,371,475,
051,158,354,629,800,854,732,505,297,811,941,066,839,172,350,157,166,660,606,
268,819,668,179,176,379,289,629,906,292,728,256,428,162,172,785,434,562,529,
094,133,522,430,694,811,439,968,874,486,430,727,166,757,919,672,705,053,756,
755,888,711,699,651,978,485,211,625,389,639,060,484,609,199,718,277,488,259,
105,338,457,420,649,372,548,457,003,542,974,847,630,414,251,590,815,051,072,
965,396,176,448,259,095,259,738,991,657,638,121,697,509,525,803,116,173,412,
616,297,687,464,203,586,660,297,900,969,119,244,071,801,938,914,741,897,871,
944,950,762,508,488,416,577,581,705,532,674,283,318,325,676,503,818,026,070,
404,071,382,456,320,341,756,683,625,034,142,766,881,552,452,493,100,016,142,
245,972,260,357,474,218,240,507,132,169,989,506,846,655,797,080,103,561,287,
042,911,591,448,033,336,030,170,601,336,705,249,250,864,482,007,031,922,390,
613,477,258,560,812,436,443,221,744,981,727,357,508,151,170,347,940,674,709,
386,594,001,595,695,111,994,113,705,544,054,793,229,486,011,232,776,273,943,
605,424,719,039,210,946,119,033,625,501,558,658,007,798,878,799,596,436,506,
610,499,413,534,814,376,393,885,753,637,594,403,457,637,472,941,419,611,623,
790,218,802,075,431,421,773,838,652,055,518,106,591,930,905,909,676,312,163,
860,741,432,157,162,184,800,608,353,172,227,517,066,470,656,085,751,598,158,
863,554,352,674,772,479,414,037,441,820,110,257,470,654,960,502,601,406,824,
877,599,218,065,938,606,713,399,099,201,095,385,644,834,811,758,462,653,135,
341,619,217,777,624,387,848,140,922,382,479,888,818,130,351,349,352,443,433,
269,043,973,738,215,667,043,781,725,899,392,056,547,076,761,512,384,756,223,
627,963,636,425,311,475,220,669,528,111,332,621,567,199,468,030,738,532,868,
808,111,646,810,647,972,510,977,318,756,201,859,555,089,392,613,729,935,663,
878,564,793,893,033,902,620,306,423,281,087,052,578,246,537,930,778,259,991,
359,215,796,887,799,066,897,191,839,028,247,497,496,285,328,647,780,303,868,
539,242,885,573,142,702,042,839,809,707,806,915,184,298,580,622,211,247,083,
752,697,529,782,704,385,228,818,344,715,756,735,423,658,548,723,886,884,480,
389,220,740,668,206,447,197,868,514,373,331,079,298,921,901,962,692,549,633,
802,782,347,234,048,163,815,783,898,851,404,539,734,862,947,539,195,038,899,
149,858,573,547,465,748,033,113,011,678,045,347,704,195,991,443,118,338,537,
533,982,227,441,146,502,100,918,392,882,750,776,020,037,302,469,308,561,261,
411,863,871,994,375,664,177,253,616,211,449,643,524,522,964,855,604,869,680,
253,645,755,182,252,745,717,464,347,179,331,852,965,509,855,981,079,390,675,
230,935,380,155,235,127,425,663,307,530,190,741,449,241,858,130,720,715,057,
271,614,303,074,188,477,865,325,052,085,645,343,295,458,671,649,878,769,267,
826,973,200,453,900,980,925,956,384,770,331,028,939,629,485,323,187,827,826,
036,587,374,987,726,902,669,213,253,965,342,270,193,626,825,847,096,827,450,
334,647,031,527,610,785,212,249,946,865,412,579,918,723,316,730,290,699,501,
223,898,347,136,349,093,566,088,289,847,542,106,693,994,043,212,179,447,643,
437,568,090,741,096,334,733,537,733,947,746,928,588,499,641,291,940,145,804,
141,667,493,913,493,141,251,612,251,880,070,528,462,187,915,257,251,029,667,
143,786,989,111,704,416,038,475,945,258,680,516,194,343,060,857,512,143,140,
477,460,474,554,065,313,467,959,644,480,937,418,587,933,725,808,592,167,312,
150,022,129,483,889,151,083,562,856,558,452,803,664,861,325,699,493,532,294,
441,172,196,909,234,918,294,051,850,452,934,914,955,578,190,406,208,380,116,
362,210,064,989,617,672,908,831,800,619,372,140,298,112,551,087,382,890,485,
069,145,526,101,780,241,675,514,771,141,486,915,688,127,544,874,136,083,818,
703,812,789,600,905,869,453,629,899,497,409,491,679,295,343,948,678,245,406,
475,485,609,443,194,682,924,063,755,442,893,783,624,769,484,929,277,092,578,
229,279,382,449,782,663,576,307,131,325,838,932,334,395,426,887,244,731,539,
435,315,804,586,363,058,802,866,286,616,994,327,987,666,146,765,191,700,099,
173,744,168,212,192,816,457,304,111,003,971,023,504,456,312,200,194,385,435,
380,306,587,740,682,125,054,931,342,405,018,054,171,922,627,615,657,370,371,
224,530,326,762,151,350,612,616,793,487,309,347,965,625,758,723,462,008,192,
776,284,889,316,817,540,391,190,825,391,405,192,289,910,480,467,842,246,978,
138,367,043,045,566,098,507,819,357,399,160,761,582,939,956,344,624,581,824,
878,903,617,699,006,996,529,863,473,050,536,432,101,870,447,991,117,459,075,
302,416,738,191,241,693,136,601,476,165,307,067,539,414,756,217,482,448,923,
900,151,588,195,014,033,680,899,394,733,802,531,857,297,491,475,023,215,167,
572,517,616,543,889,095,702,406,575,902,189,399,641,521,592,798,440,140,476,
628,676,676,611,451,360,039,702,536,033,297,313,768,456,747,728,804,760,363,
381,738,275,682,377,746,024,755,482,305,124,923,439,007,362,066,615,469,356,
844,323,669,735,417,644,856,578,256,968,683,806,047,010,984,856,569,924,860,
444,353,649,421,739,387,959,817,144,395,602,135,446,020,543,565,116,065,750,
780,653,999,479,743,975,237,889,233,277,603,241,607,840,438,744,288,777,261,
506,787,935,210,577,529,590,823,083,090,370,482,057,610,127,673,127,995,102,
079,075,470,649,554,397,630,775,059,526,108,510,203,399,587,363,742,307,876,
908,573,490,003,979,676,237,004,224,311,394,577,341,318,674,724,074,935,934,
740,921,470,487,379,034,329,034,213,634,422,465,240,474,678,821,693,578,136,
776,138,481,659,747,554,941,972,071,555,633,902,161,336,932,328,224,366,348,
913,614,990,005,573,104,768,445,782,869,509,375,603,153,086,422,812,697,614,
859,596,771,742,880,422,854,986,102,487,556,856,551,394,510,866,698,053,219,
956,459,989,565,132,972,534,094,386,006,635,794,333,669,292,471,705,171,857,
539,492,842,318,184,442,106,911,309,933,901,825,170,516,181,923,776,853,787,
349,231,659,260,183,191,969,453,802,440,366,598,283,563,494,476,248,354,262,
299,254,701,848,921,341,804,209,214,092,040,492,823,979,478,559,314,836,536,
203,145,351,985,190,700,006,864,934,007,371,085,028,549,663,989,991,764,994,
896,627,379,502,931,950,745,595,251,346,358,766,381,528,413,262,013,043,449,
890,436,381,916,181,871,305,209,124,102,209,517,370,055,522,869,423,253,873,
208,626,173,998,563,241,726,618,549,142,153,084,951,192,408,611,419,050,246,
785,788,298,935,604,866,257,042,525,440,915,324,104,245,595,337,204,392,513,
895,503,499,569,948,611,888,956,149,329,865,081,098,791,726,752,935,826,981,
728,644,967,430,848,684,233,386,316,231,409,413,985,069,950,386,559,098,910,
964,397,818,521,768,958,861,800,771,309,712,409,031,425,892,785,088,578,364,
544,316,091,299,710,524,572,724,094,844,866,393,789,493,224,777,383,213,630,
295,185,396,657,711,824,181,180,411,133,121,864,133,386,464,295,467,547,695,
475,912,969,777,052,594,138,891,163,671,595,602,907,939,158,470,579,569,694,
408,669,950,870,204,487,832,433,379,416,044,557,421,130,016,424,928,094,161,
523,259,085,099,019,604,738,658,189,793,990,544,194,368,907,752,229,865,134,
261,288,087,408,941,921,956,639,231,038,887,829,683,417,969,848,297,698,865,
935,515,663,879,795,541,563,489,426,054,056,264,352,201,096,392,060,822,508,
649,218,565,495,663,228,357,918,201,337,558,311,535,652,599,699,959,054,930,
259,228,421,824,190,461,777,987,426,024,511,184,817,119,725,923,746,581,453,
543,974,708,555,409,535,231,814,013,056,402,510,331,032,102,588,371,760,953,
588,899,259,897,562,081,414,483,673,328,186,620,657,345,321,030,866,760,046,
694,598,442,137,676,348,445,516,235,436,887,696,426,850,519,890,974,820,949,
966,262,675,422,745,577,866,320,267,424,725,204,414,382,297,744,729,339,024,
276,227,410,263,730,607,359,888,880,293,817,631,989,968,285,214,599,979,308,
932,269,932,239,259,489,167,572,004,702,647,711,042,029,777,995,567,953,659,
784,630,583,969,804,408,899,020,311,792,294,272,785,202,856,491,781,365,741,
009,424,887,858,199,230,355,681,208,872,977,329,879,853,882,743,538,849,529,
495,975,049,970,096,375,254,266,655,639,863,354,873,872,435,074,256,770,928,
653,313,761,181,951,861,454,453,569,834,534,114,584,665,826,864,542,235,219,
775,984,618,465,921,229,635,076,273,239,316,430,155,635,682,660,145,119,897,
137,301,610,870,548,310,094,547,336,547,872,881,616,499,019,876,403,343,493,
920,862,843,953,761,970,539,124,687,634,213,586,877,408,428,612,068,837,962,
831,129,199,307,173,852,064,929,205,713,302,879,626,623,772,644,683,089,311,
639,994,805,049,024,421,230,216,815,982,240,004,561,617,942,066,198,048,615,
864,453,438,768,835,773,862,155,419,623,585,764,961,425,107,789,185,341,043,
637,786,909,608,374,122,542,068,313,252,144,331,305,470,527,647,556,567,811,
317,558,747,632,900,342,566,061,962,060,550,204,856,255,241,871,712,224,693,
236,282,805,964,288,242,607,305,058,378,465,297,221,266,242,552,033,443,946,
130,828,822,334,837,335,046,772,952,573,667,138,478,191,809,010,071,057,382,
231,253,033,302,261,528,135,750,813,882,979,970,806,197,688,623,568,889,113,
046,716,088,138,104,677,174,670,356,666,880,364,935,330,449,891,405,923,335,
477,368,657,160,995,666,841,402,120,037,436,102,281,780,976,737,253,616,405,
022,100,147,925,543,093,195,954,930,887,018,744,478,083,805,676,190,392,078,
993,839,383,697,667,728,562,983,759,137,431,059,412,354,489,752,544,239,895,
842,235,182,603,998,373,701,369,876,562,584,854,930,574,446,325,553,292,598,
427,073,522,577,065,726,459,121,840,281,919,769,537,784,828,886,852,810,467,
218,334,416,198,299,582,782,293,783,089,707,457,996,255,521,119,724,090,387,
059,360,848,754,390,673,273,367,695,998,659,254,593,608,406,530,323,522,032,
997,860,059,425,973,362,843,279,085,862,488,287,380,808,468,767,181,892,639,
832,650,773,569,153,590,733,624,548,697,502,883,127,924,977,722,775,644,983,
241,888,322,920,037,052,567,959,420,699,731,606,841,410,195,020,305,122,467,
345,836,798,082,519,800,552,835,274,815,000,809,001,712,316,494,279,938,367,
567,195,097,328,199,978,551,598,945,394,641,542,888,056,937,684,593,086,191,
913,170,858,075,976,745,702,677,917,100,755,117,290,070,018,037,007,741,398,
704,273,275,113,662,007,081,523,867,252,013,200,658,568,192,738,143,544,132,
480,215,757,934,351,502,137,253,895,648,902,760,364,442,708,257,394,507,041,
157,707,819,867,178,506,977,610,007,861,280,597,029,413,026,723,329,944,622,
375,916,506,903,752,290,913,824,991,523,540,643,563,708,504,610,474,135,631,
298,097,677,922,988,340,203,976,272,057,308,014,335,240,045,774,025,309,029,
334,982,513,925,717,296,214,943,057,937,459,451,335,732,639,240,888,256,633,
095,566,222,771,621,444,661,910,143,242,014,451,050,249,705,907,709,173,609,
561,119,535,861,405,071,593,287,101,675,654,282,849,725,949,177,333,329,848,
912,826,696,852,647,891,824,208,582,286,415,820,772,812,766,014,148,658,664,
333,475,200,373,744,383,310,871,286,549,600,100,161,998,378,358,084,849,361,
387,164,762,116,797,791,096,608,177,064,120,780,474,453,678,598,531,620,962,
451,295,752,426,496,025,728,296,787,320,422,786,566,588,194,270,829,077,069,
047,232,116,566,694,777,104,756,570,762,389,436,096,831,935,255,094,042,528,
133,685,744,671,596,150,520,157,622,183,587,350,837,714,835,006,815,047,284,
179,571,546,859,301,589,012,235,450,450,157,614,029,485,288,467,596,088,469,
474,588,222,351,075,304,544,712,403,307,698,851,398,720,469,723,690,220,190,
636,078,755,056,799,869,565,096,323,892,926,224,760,721,013,493,144,593,444,
893,402,473,580,881,646,061,119,747,445,796,746,354,647,023,681,849,870,290,
308,853,236,411,894,219,221,895,853,515,290,231,828,167,379,748,538,137,231,
432,156,019,409,791,223,865,409,411,165,895,872,669,174,288,503,696,217,782,
379,219,946,658,441,943,926,743,919,008,343,264,422,545,812,824,204,147,015,
182,810,120,696,585,485,473,877,206,927,419,955,218,876,152,974,091,503,046,
803,851,948,745,903,822,189,172,710,732,496,444,094,642,103,250,640,033,184,
762,607,856,472,814,306,161,143,707,428,917,577,747,752,229,694,013,683,972,
011,537,190,630,875,853,974,256,964,140,299,084,197,397,383,997,621,886,102,
258,932,908,477,633,071,960,950,038,346,498,479,072,047,307,881,972,724,520,
222,238,281,690,783,283,696,056,792,169,591,389,595,637,930,476,443,711,020,
369,657,244,803,154,367,947,497,780,183,769,739,220,699,089,070,399,799,261,
927,791,769,100,485,406,295,631,333,067,826,865,770,732,865,722,758,140,545,
528,031,168,707,692,978,121,966,450,303,765,012,428,762,297,824,999,740,478,
120,894,269,604,952,803,972,213,241,471,416,647,023,257,082,951,548,947,726,
605,100,526,889,878,775,814,935,936,561,596,462,436,285,989,920,382,126,507,
717,001,523,351,350,029,219,183,725,975,297,028,405,616,799,288,562,907,257,
819,197,545,343,444,169,089,300,226,517,240,528,404,765,878,771,607,037,432,
971,433,377,220,750,450,958,554,780,087,002,053,775,568,809,637,097,060,497,
742,725,405,437,617,262,774,112,123,883,148,435,587,283,988,185,292,390,650,
091,922,642,361,523,994,018,930,531,792,602,086,196,214,508,476,504,999,253,
574,307,605,536,352,685,375,252,720,144,118,145,705,575,250,200,432,149,940,
733,445,252,728,633,784,778,608,630,281,172,298,949,810,268,893,672,823,600,
245,344,610,570,703,571,051,317,607,800,460,472,458,660,795,838,374,191,587,
866,587,982,708,734,618,387,841,926,558,988,749,965,619,661,076,556,797,395,
939,677,919,416,946,972,837,439,960,120,790,843,118,847,692,938,343,303,544,
869,313,666,895,756,606,380,277,266,228,005,764,885,485,198,111,568,133,048,
886,232,770,606,331,919,422,407,130,699,251,092,274,645,970,475,431,353,078,
968,692,279,036,115,989,846,851,183,781,652,680,627,924,306,459,404,097,626,
604,831,557,941,111,239,403,510,453,346,415,411,677,977,381,084,964,466,003,
363,819,433,344,316,561,848,557,039,811,585,011,234,539,812,044,973,417,871,
693,722,058,723,195,838,886,601,828,840,737,965,507,287,188,016,728,649,798,
037,364,800,972,324,090,275,340,371,547,953,864,464,370,031,854,113,862,176,
056,526,031,067,956,531,996,150,230,702,324,454,645,625,204,010,244,079,189,
418,515,159,736,960,596,860,474,197,561,849,002,729,185,344,210,746,912,673,
773,201,680,995,904,468,322,494,424,675,948,519,209,690,968,173,767,802,022,
134,193,238,953,983,612,753,563,364,951,930,139,915,826,517,703,946,877,690,
838,759,257,845,204,552,684,902,948,331,741,182,835,811,776,064,849,125,648,
805,304,793,727,531,161,627,601,777,455,162,988,982,541,180,623,259,251,756,
792,208,766,723,505,662,337,164,411,064,009,591,794,057,165,431,875,684,573,
476,111,202,142,816,799,860,317,922,437,232,305,622,105,998,320,103,024,791,
853,706,196,381,548,345,874,469,810,833,693,698,098,963,700,510,702,533,240,
695,335,415,414,115,026,952,534,806,830,282,445,364,469,881,482,875,669,112,
015,816,184,009,940,089,158,159,689,893,985,886,501,230,244,736,932,087,531,
745,095,060,860,088,882,850,387,074,240,440,438,896,372,635,099,667,214,755,
060,230,150,500,634,328,038,501,397,410,103,393,857,188,938,302,136,272,102,
373,661,679,240,710,655,241,522,096,480,859,785,228,515,245,144,581,829,185,
351,585,579,638,500,981,894,097,184,340,470,430,953,833,971,661,730,160,822,
473,968,362,143,499,570,412,758,663,165,411,610,132,734,488,907,673,447,554,
123,179,539,112,530,065,983,567,227,766,137,362,575,081,951,947,689,968,241,
209,773,959,560,119,422,821,224,728,190,304,351,696,359,784,443,528,197,127,
745,479,548,063,774,718,412,131,517,374,975,031,139,771,488,677,216,746,002,
464,397,169,300,873,161,335,847,554,854,735,929,772,229,945,739,723,112,885,
636,861,457,701,701,038,974,694,613,967,099,165,778,189,502,231,958,093,106,
045,409,327,975,822,501,411,685,159,316,874,104,175,276,349,610,438,102,546,
577,640,087,776,413,667,429,119,175,757,194,794,148,916,745,511,719,874,577,
590,993,065,013,523,234,217,973,180,532,687,299,314,878,763,446,426,964,458,
270,507,490,455,024,037,973,876,345,473,568,830,383,529,832,341,035,314,236,
596,158,936,297,234,000,341,413,005,806,223,359,011,948,500,939,172,066,339,
058,248,516,223,815,580,968,015,078,178,468,449,073,917,654,560,269,204,155,
489,013,740,521,491,957,291,865,177,726,996,071,055,892,990,554,033,950,519,
459,080,833,216,228,456,693,658,372,813,112,579,012,875,226,549,148,740,601,
734,426,397,946,624,458,879,146,326,672,967,393,108,527,382,029,859,516,607,
368,875,874,297,068,247,937,270,689,428,381,569,418,869,882,193,638,086,784,
621,067,167,283,783,806,130,956,169,546,542,780,529,536,376,514,862,098,592,
786,093,927,805,725,619,694,941,918,236,068,369,679,893,833,381,010,970,521,
865,053,934,660,316,538,674,275,725,097,282,487,765,200,055,693,918,232,134,
171,615,021,059,472,166,076,258,568,855,904,264,503,047,219,260,114,570,753,
613,400,983,854,572,464,103,448,743,638,058,974,445,129,816,127,592,344,447,
478,188,539,951,406,947,584,933,727,592,670,349,151,157,902,617,902,011,978,
522,889,942,535,716,837,764,644,473,432,815,403,492,718,546,220,741,122,526,
118,296,051,028,776,946,934,997,212,588,605,893,309,289,546,522,144,422,769,
820,072,060,489,899,697,879,447,629,108,310,334,161,855,085,999,384,896,659,
283,895,975,063,893,226,415,244,548,345,385,042,443,348,882,374,410,817,459,
963,378,239,148,396,423,391,922,534,361,744,501,073,058,139,969,861,494,947,
923,516,117,686,589,394,784,091,543,729,995,426,321,349,334,953,596,568,924,
746,048,018,811,367,012,555,346,257,085,516,372,100,610,405,549,402,835,135,
216,845,640,888,943,933,772,426,624,520,573,945,024,197,071,859,475,446,379,
607,430,573,203,651,375,108,722,704,091,480,886,477,394,118,768,184,988,173,
036,918,122,276,805,217,653,951,947,636,025,252,956,462,580,876,995,618,064,
213,461,067,114,843,005,129,802,744,573,676,720,761,656,388,136,315,221,135,
586,654,185,393,376,001,869,214,710,639,494,257,239,349,377,795,756,139,233,
439,586,615,639,461,750,375,198,640,531,332,562,746,871,997,822,726,758,165,
876,132,303,459,602,999,033,543,425,352,980,498,781,758,400,802,521,469,096,
848,730,228,201,756,414,901,101,284,316,503,858,805,209,271,649,910,370,109,
691,615,035,489,530,006,080,848,230,085,952,238,716,880,318,559,910,618,042,
333,056,729,277,668,160,257,412,620,695,812,363,607,679,789,567,756,853,994,
255,750,750,339,188,434,762,379,434,883,333,232,414,247,216,779,910,150,809,
327,211,988,249,199,960,145,359,152,386,953,912,059,783,810,273,841,984,696,
759,539,329,135,923,930,402,007,866,947,424,944,987,617,056,677,524,133,752,
033,973,939,277,570,199,304,615,842,481,928,379,410,718,616,736,729,306,518,
973,819,141,414,387,985,934,216,722,405,376,186,930,924,281,793,947,590,597,
917,593,531,469,425,347,639,485,374,942,599,812,368,034,559,154,940,450,370,
284,265,984,015,017,418,459,620,085,299,923,928,199,364,764,194,090,025,932,
286,741,707,327,505,669,568,367,290,785,374,241,637,171,431,274,801,034,737,
496,256,561,017,224,165,150,595,930,460,390,623,312,951,090,131,219,933,016,
039,057,212,932,618,081,835,610,680,023,577,619,243,280,554,397,924,118,578,
145,697,251,341,283,067,030,444,779,244,905,350,427,000,810,926,044,976,019,
085,585,750,338,664,462,360,200,496,835,879,340,871,831,041,433,755,210,983,
859,969,763,696,294,155,059,654,255,284,144,510,286,445,628,041,116,139,817,
039,624,086,212,838,381,977,315,821,858,966,178,890,323,886,331,354,892,184,
035,869,189,531,138,375,516,092,676,742,964,636,696,639,495,031,883,379,814,
145,687,809,959,877,135,935,221,172,755,317,272,306,795,185,897,239,247,626,
122,099,357,464,254,908,899,616,670,174,487,263,753,114,189,980,535,882,124,
558,998,486,127,249,238,839,333,335,974,408,677,756,149,046,539,085,088,759,
274,817,098,250,210,133,492,825,471,810,770,061,804,172,526,306,850,597,236,
899,020,334,853,651,834,059,219,716,049,590,496,690,695,190,235,793,368,505,
051,993,175,518,791,832,381,841,541,805,486,725,193,989,058,284,124,422,067,
413,392,097,765,296,247,121,712,617,817,275,698,095,623,861,174,378,939,808,
149,229,165,190,654,493,417,565,356,449,564,356,346,300,910,536,132,623,071,
723,104,171,432,245,414,217,944,004,711,961,320,696,253,443,235,842,392,812,
448,696,831,187,097,209,095,211,572,208,367,754,772,850,648,940,868,539,537,
550,593,071,472,998,009,222,826,113,610,151,266,680,004,160,672,043,954,906,
756,166,007,234,628,385,894,762,666,837,485,274,769,908,131,383,132,906,567,
305,738,289,977,794,631,428,485,335,824,821,221,982,503,569,585,459,472,075,
280,685,318,608,946,273,490,518,666,351,715,139,488,568,947,592,489,162,967,
994,708,993,877,997,959,604,361,211,247,005,158,350,027,019,419,792,454,768,
593,902,718,690,076,702,836,456,334,092,563,492,191,910,841,391,703,307,211,
691,604,084,835,861,917,983,403,169,340,276,385,445,740,981,748,735,120,283,
975,630,481,984,429,579,225,366,752,651,079,784,010,283,047,976,894,112,067,
884,675,489,351,412,997,103,862,034,463,411,770,560,741,992,267,952,415,429,
432,662,093,402,477,154,136,934,797,966,230,720,576,232,040,727,931,512,353,
797,256,963,483,078,953,626,625,644,939,128,813,549,263,347,452,549,975,773,
016,411,954,915,783,155,176,548,094,250,491,402,220,710,252,917,215,754,445,
265,413,349,526,814,202,364,626,205,126,859,948,903,495,614,538,282,398,454,
140,725,689,109,014,859,413,048,745,314,069,460,936,353,649,282,227,192,116,
645,905,192,309,095,148,213,377,919,820,455,210,691,154,997,329,870,479,999,
351,803,682,208,088,394,217,542,086,065,009,918,046,151,598,985,976,182,940,
576,702,613,486,204,485,473,180,465,415,963,907,913,848,888,468,335,472,488,
419,902,872,286,120,673,654,702,025,498,649,755,354,706,503,652,665,097,339,
569,375,848,793,929,953,427,793,429,906,806,475,921,967,602,375,900,879,117,
590,334,479,711,342,015,982,571,578,085,407,881,038,128,489,546,418,481,417,
391,095,560,282,720,743,949,687,219,404,045,355,110,725,834,161,332,612,054,
164,244,475,757,525,401,451,015,215,762,124,551,669,181,845,812,802,416,153,
760,714,580,268,895,274,494,460,988,201,561,583,292,684,039,045,713,387,498,
138,361,828,873,584,695,889,112,418,506,189,531,489,410,813,822,187,450,595,
264,750,890,019,377,498,140,180,179,047,046,805,013,141,938,242,268,277,678,
002,392,051,034,536,794,375,998,489,266,958,351,807,994,995,877,791,285,713,
385,172,672,621,569,491,700,961,645,997,113,210,357,179,873,141,607,010,351,
992,496,013,131,810,256,425,546,144,291,186,437,059,323,190,171,728,314,499,
185,537,135,051,830,171,256,767,450,800,055,599,647,948,152,750,716,595,811,
858,117,951,140,400,092,650,379,560,320,291,808,818,707,011,214,985,191,742,
284,464,398,627,131,720,851,030,138,476,285,878,655,658,781,050,682,565,429,
383,538,554,431,549,271,428,992,534,953,328,098,680,235,671,065,058,592,109,
030,578,781,541,241,859,497,952,515,505,501,898,663,414,726,765,030,974,872,
338,480,918,224,870,121,005,683,949,256,658,687,415,822,749,752,492,602,141,
365,079,614,187,207,699,986,773,872,081,430,014,172,412,395,722,430,437,248,
592,355,732,168,630,363,684,133,114,610,669,817,272,523,091,000,869,768,923,
315,416,292,259,524,074,421,921,782,911,867,383,418,470,680,829,090,153,612,
332,264,675,077,059,783,611,767,327,819,806,962,488,783,588,977,957,469,266,
270,594,885,845,404,649,435,645,706,921,743,740,731,945,227,909,448,117,116,
532,637,977,554,789,965,187,491,335,195,069,270,713,308,010,869,429,906,232,
942,546,600,091,103,156,352,698,785,130,188,459,103,532,520,899,751,829,206,
527,047,342,632,451,146,978,831,994,750,157,601,677,115,583,412,245,259,822,
759,959,852,536,856,276,416,380,298,324,888,591,795,223,202,082,366,645,335,
333,227,160,219,062,232,919,832,144,707,635,643,885,379,083,658,889,127,572,
402,647,203,021,115,310,405,763,758,787,755,399,485,890,135,252,283,931,082,
016,033,354,204,871,602,210,244,168,845,442,098,818,221,861,741,406,048,514,
889,623,379,228,754,018,737,657,983,938,089,527,638,260,412,708,112,727,028,
355,542,408,229,941,896,832,964,116,829,169,271,641,064,288,068,622,477,664,
768,901,627,838,247,028,964,633,998,611,783,351,327,390,876,034,812,464,222,
056,375,747,487,164,475,797,212,480,915,753,063,343,370,957,817,861,649,047,
141,387,181,846,967,306,322,170,278,241,197,783,633,454,077,180,301,027,943,
491,801,186,602,358,839,119,008,518,891,071,159,825,325,331,408,332,888,852,
008,258,422,119,640,799,751,393,999,815,901,020,035,393,793,518,750,865,183,
883,243,289,430,519,381,499,324,404,878,480,752,139,262,087,122,480,968,190,
155,418,571,729,288,147,004,073,461,915,866,917,371,713,907,024,322,446,284,
705,267,268,126,882,311,046,008,663,114,398,338,304,542,385,144,788,816,999,
850,671,863,730,246,384,238,232,056,524,271,756,145,467,660,691,634,753,758,
584,838,652,208,116,342,913,414,571,301,286,273,114,627,614,892,462,396,717,
801,783,957,736,248,165,396,797,863,132,003,194,817,368,427,819,279,694,938,
991,783,515,059,748,289,070,940,499,248,227,695,802,153,210,926,755,475,352,
602,762,657,997,322,324,091,542,644,276,103,338,280,402,381,012,318,334,448,
672,791,651,599,661,318,623,955,578,076,886,286,442,309,632,087,002,523,807,
715,765,833,020,523,678,345,740,945,074,777,208,317,284,308,384,996,190,289,
888,882,894,762,269,545,070,751,978,209,961,809,029,004,889,458,729,651,738,
916,865,311,015,246,491,773,662,457,585,986,602,804,654,602,134,756,828,122,
186,302,710,180,398,272,145,454,513,395,535,270,986,688,519,658,528,964,018,
512,501,941,705,932,657,356,304,669,912,929,682,262,668,149,575,533,284,238,
265,305,240,818,373,165,188,494,075,425,020,412,681,634,637,914,998,774,585,
880,385,655,556,492,352,426,793,552,572,817,062,122,354,472,319,377,844,537,
021,778,341,187,405,220,190,058,488,355,088,869,729,881,576,743,651,784,281,
731,306,146,533,291,931,236,870,342,049,051,729,239,169,782,861,036,643,996,
292,501,542,104,775,953,055,895,814,530,380,254,339,304,369,333,901,130,572,
394,627,999,094,853,351,216,478,992,678,727,693,103,716,416,682,463,211,492,
726,310,838,122,058,211,786,411,095,213,904,259,368,935,803,132,210,232,777,
565,116,591,329,780,062,096,441,936,608,472,397,224,852,235,651,091,949,484,
058,441,140,632,652,368,802,233,757,059,808,997,936,749,953,981,024,495,942,
183,536,726,783,341,657,398,856,167,148,170,888,899,793,170,889,080,755,990,
626,420,986,800,012,976,598,120,934,027,812,917,910,137,444,146,614,342,464,
806,647,709,071,278,310,664,431,505,420,250,441,693,822,171,466,958,701,200,
366,141,054,057,146,150,676,012,809,425,705,115,212,197,661,885,971,947,620,
013,163,179,814,236,194,999,054,403,428,340,017,675,372,135,527,966,314,289,
350,781,668,056,143,370,848,033,650,849,552,630,669,318,507,657,086,890,431,
813,207,297,142,041,821,124,030,670,540,123,626,542,965,153,463,774,615,596,
491,218,843,583,396,923,884,278,488,377,292,018,539,354,664,146,413,566,898,
433,128,243,482,623,478,964,514,729,497,264,979,587,415,603,367,810,395,676,
464,316,570,433,919,392,171,600,644,415,801,363,625,379,653,855,250,952,384,
521,566,783,548,743,942,917,386,976,261,249,640,743,077,696,973,791,034,373,
741,662,925,245,563,915,697,959,331,550,737,997,602,506,320,813,138,794,162,
314,757,366,979,093,319,054,679,932,331,764,444,447,815,213,339,828,524,602,
704,270,296,625,405,461,386,559,224,725,461,786,049,028,996,151,152,077,824,
031,125,761,485,096,436,404,365,528,757,979,357,808,093,999,422,562,142,997,
702,134,775,703,402,862,968,590,978,546,815,143,857,412,639,957,651,059,582,
892,059,121,244,129,014,308,236,912,014,677,858,297,524,830,948,583,081,784,
988,893,263,987,507,369,610,142,414,232,981,912,734,285,840,669,030,874,529,
577,652,981,781,931,777,595,452,984,396,896,702,693,085,023,443,673,115,257,
372,893,925,707,059,843,533,623,732,532,951,690,563,920,251,966,411,379,181,
751,612,341,929,071,444,243,950,419,829,866,533,577,183,957,606,525,009,703,
240,980,770,654,943,866,428,768,731,926,941,095,922,244,072,165,261,376,988,
169,991,748,687,590,012,880,020,942,081,323,252,128,788,820,997,892,332,334,
499,513,969,947,311,369,198,381,921,922,937,397,384,783,624,350,315,092,302,
775,260,028,933,866,248,321,438,650,715,203,417,324,346,354,682,055,593,902,
155,048,366,760,573,906,065,807,372,770,971,076,517,912,868,749,627,088,540,
843,937,668,968,165,959,598,093,655,818,563,702,756,495,812,394,532,284,432,
217,117,375,052,087,408,224,291,344,211,838,637,752,367,637,445,485,752,061,
314,718,584,790,955,381,403,605,400,768,898,077,499,614,829,684,605,014,068,
845,432,435,431,478,121,986,739,118,195,028,338,163,820,819,581,537,149,302,
519,500,678,740,239,834,435,917,944,805,954,213,369,055,023,757,630,223,694,
305,492,132,933,005,238,200,162,546,844,369,127,214,418,902,777,584,491,041,
907,685,883,492,287,268,297,722,413,714,741,024,585,149,371,900,660,099,675,
676,734,462,158,068,944,136,473,169,225,540,210,399,276,439,875,789,599,659,
289,537,861,450,858,175,912,836,792,199,687,135,053,141,642,683,780,791,146,
364,047,229,878,150,849,168,226,774,320,544,718,703,279,198,251,441,749,169,
109,343,419,339,587,564,768,233,246,835,031,020,144,490,239,273,755,772,816,
918,279,373,246,434,826,666,474,067,599,611,468,505,215,071,118,987,277,392,
779,466,075,167,147,521,652,529,955,184,321,072,543,246,767,064,140,387,341,
029,388,398,906,366,878,735,206,784,174,454,466,763,958,222,306,549,645,615,
292,090,110,214,372,991,144,948,946,616,032,988,737,386,448,990,457,101,319,
707,555,383,054,234,036,661,986,604,961,490,937,118,274,173,450,771,422,534,
837,569,877,715,742,117,209,426,705,902,522,084,800,786,117,053,809,500,755,
745,848,815,242,034,918,295,077,524,878,165,847,381,749,879,608,624,587,100,
522,788,410,476,396,993,339,735,863,937,009,530,350,915,357,050,249,119,371,
747,549,505,626,747,954,455,947,327,838,260,591,562,048,441,546,709,823,984,
409,944,260,778,616,361,392,909,849,460,143,072,327,704,982,235,759,134,427,
378,927,552,257,230,783,572,004,859,302,984,793,231,643,825,720,417,508,224,
059,557,050,289,391,647,596,685,535,247,693,855,306,630,334,361,647,089,204,
403,645,820,523,533,084,471,462,236,706,506,050,598,587,058,622,971,640,814,
282,271,710,594,856,190,388,553,211,817,740,474,695,892,877,413,650,462,615,
426,037,863,642,616,545,118,677,575,076,163,838,536,293,517,401,143,526,970,
898,957,226,580,061,356,144,547,239,178,017,364,718,585,169,187,843,377,875,
587,291,077,686,452,065,188,147,270,639,744,581,536,120,693,371,981,390,298,
863,967,865,816,758,795,002,012,357,026,322,399,063,038,328,311,013,583,871,
521,667,008,303,051,347,766,251,945,165,983,330,504,949,282,669,203,572,412,
696,444,148,191,810,265,407,203,829,323,253,363,037,505,799,730,170,555,872,
299,779,652,194,088,776,376,577,466,155,927,481,603,343,276,708,246,251,561,
374,245,276,212,818,211,824,775,148,457,838,541,568,800,578,631,631,190,221,
665,276,364,574,917,452,768,883,005,848,710,742,503,173,061,988,238,496,690,
590,688,572,240,114,479,111,179,380,639,026,855,955,559,280,587,582,001,356,
223,374,895,964,245,729,103,991,808,939,683,409,240,223,556,166,123,557,906,
210,758,408,157,254,968,293,785,659,261,299,845,679,717,640,911,146,729,700,
412,612,613,343,768,538,892,212,714,355,149,072,016,864,518,659,830,294,968,
677,955,654,234,099,633,220,447,231,350,329,142,331,698,913,252,995,016,237,
567,394,884,001,741,885,629,838,730,176,581,531,782,912,910,550,200,835,033,
761,092,387,823,424,574,400,740,440,561,693,247,285,496,439,561,553,925,634,
372,086,447,266,365,302,056,606,640,641,099,089,981,654,759,294,637,129,150,
429,369,080,904,322,418,121,932,634,394,337,463,615,385,587,220,694,862,532,
298,716,684,651,162,796,570,990,504,424,551,818,720,402,897,363,495,495,534,
416,971,385,047,926,034,173,802,118,002,893,196,010,827,340,391,973,368,409,
055,556,133,236,004,655,504,202,313,160,149,379,912,932,082,057,086,124,398,
564,416,842,735,196,445,631,499,963,762,017,231,798,310,263,828,364,735,410,
664,982,975,288,807,401,041,513,474,469,579,765,219,762,137,002,592,621,872,
148,037,532,943,039,618,857,648,767,972,546,949,233,047,629,736,156,821,634,
761,461,742,992,869,359,978,496,139,770,744,984,777,950,628,394,051,251,545,
167,471,346,148,358,869,595,096,151,260,416,283,557,726,005,237,139,068,311,
401,610,393,942,964,902,495,252,047,638,159,893,616,548,673,798,663,867,944,
600,762,719,343,785,007,457,612,196,768,216,093,124,060,897,738,104,762,870,
268,356,474,604,671,287,691,974,577,146,524,553,392,143,849,164,789,306,639,
414,735,186,972,717,847,007,435,267,985,785,981,982,978,989,694,459,417,366,
450,329,191,249,058,314,645,725,024,314,012,228,281,676,333,018,389,914,929,
840,417,492,976,981,273,417,211,657,435,826,080,158,413,455,780,941,901,693,
202,498,521,802,394,743,884,294,162,216,518,502,096,129,317,147,108,806,810,
731,269,783,233,609,634,845,129,169,587,036,504,213,483,717,380,144,145,847,
957,290,792,078,770,523,939,326,074,843,060,230,773,954,085,362,417,010,846,
062,606,139,853,658,277,232,537,641,410,722,281,589,401,994,755,340,590,645,
433,114,647,349,922,784,843,543,998,864,163,098,826,841,437,159,850,259,631,
428,996,498,603,655,412,959,126,984,353,534,477,053,958,452,418,423,936,795,
352,600,791,036,124,574,239,576,566,344,106,025,816,178,274,332,507,985,712,
395,258,239,379,000,735,571,261,619,687,575,682,090,180,595,842,174,979,386,
161,036,529,170,860,807,095,409,882,719,801,843,275,948,631,073,874,995,998,
767,476,440,655,726,685,843,574,004,097,884,178,661,058,521,528,089,723,509,
924,852,946,671,213,850,189,725,479,377,152,426,179,447,183,026,155,563,903,
853,745,651,486,392,860,829,654,470,106,727,083,598,830,212,652,215,606,890,
720,723,528,620,637,114,286,003,892,258,197,287,262,555,798,891,642,399,437,
279,513,621,995,732,342,401,373,749,861,361,438,447,124,344,458,008,606,388,
002,721,750,839,507,703,350,962,946,062,417,810,836,970,630,205,420,173,686,
088,642,167,975,203,505,438,355,343,472,820,679,943,258,734,639,858,481,219,
617,432,942,577,525,822,763,609,292,427,716,244,112,020,043,278,606,437,968,
483,956,199,290,847,173,444,230,214,614,412,692,642,566,282,908,813,679,197,
775,167,647,327,511,223,988,277,498,839,629,068,516,643,813,413,801,444,339,
889,398,445,825,237,479,044,981,522,890,685,477,868,480,985,413,823,525,320,
547,824,345,157,461,250,184,728,588,219,787,088,669,853,089,846,508,921,068,
149,570,810,708,797,286,908,491,869,574,994,354,468,946,113,917,343,310,671,
754,310,686,096,140,508,397,123,430,341,344,686,462,717,141,147,796,327,737,
279,373,674,253,621,492,648,922,589,627,195,522,479,713,947,891,633,482,105,
949,601,363,561,877,224,926,725,814,629,388,983,997,045,278,783,586,715,635,
279,643,507,319,258,984,541,639,076,864,863,564,665,598,400,777,609,448,603,
687,961,998,065,294,907,430,307,662,244,090,624,467,913,736,000,907,886,437,
054,642,010,447,117,525,385,917,526,984,635,997,739,153,192,815,171,413,625,
158,463,398,979,319,593,631,687,101,530,046,798,876,843,750,694,307,710,852,
606,382,645,570,598,801,472,413,166,678,546,849,441,419,639,294,282,135,390,
080,465,431,230,793,616,187,698,611,268,597,714,247,125,565,671,352,054,346,
773,768,854,603,722,922,967,088,922,517,027,055,122,846,373,124,214,336,584,
243,950,556,453,365,088,088,631,716,045,443,880,397,667,212,384,035,973,951,
135,284,436,988,909,605,355,214,325,426,273,145,153,349,998,338,990,370,807,
865,208,656,496,176,714,874,596,831,129,088,802,865,113,811,966,263,353,851,
398,569,184,674,986,772,495,346,708,688,144,125,939,991,967,794,957,233,078,
705,125,828,017,279,348,308,315,600,431,275,948,628,648,978,510,812,062,005,
609,894,063,177,069,615,497,861,170,895,860,870,026,035,095,085,002,416,148,
658,113,733,844,398,060,425,121,702,825,260,178,290,504,111,313,157,903,988,
262,963,477,990,039,186,662,653,254,317,418,867,488,872,381,338,971,076,697,
273,766,269,988,344,307,157,264,881,910,983,929,562,876,794,596,836,432,677,
133,649,201,416,430,907,660,948,888,067,285,836,088,129,922,953,157,852,600,
273,750,129,209,914,826,460,659,639,089,924,767,098,825,004,991,471,629,352,
886,110,643,696,169,529,272,424,099,403,723,265,852,343,748,685,625,383,789,
083,598,827,753,266,628,481,248,906,740,600,467,807,735,481,005,461,381,965,
839,741,397,115,385,662,017,714,954,835,785,466,044,901,075,114,390,404,609,
977,878,379,064,082,866,807,874,726,396,205,535,668,853,662,980,291,050,752,
866,847,355,139,520,137,344,496,686,778,269,005,856,965,498,004,849,473,124,
408,321,300,854,662,314,441,212,153,965,566,092,700,174,932,387,983,700,788,
313,092,293,451,746,246,377,484,948,922,534,641,563,617,089,108,987,119,620,
372,405,054,621,531,943,804,055,785,288,789,962,999,814,935,690,894,011,230,
429,615,103,709,171,553,431,657,810,660,723,378,101,956,464,662,119,504,386,
699,613,020,739,003,842,728,505,147,344,960,729,523,320,117,691,419,990,904,
707,479,220,660,776,318,215,942,965,434,800,761,344,347,820,650,158,115,261,
850,389,436,146,455,795,371,771,138,854,477,329,378,109,821,494,486,935,788,
990,812,445,037,832,816,939,379,680,831,904,346,275,860,289,702,945,783,006,
899,250,656,407,953,982,011,040,140,845,660,066,952,783,697,656,595,776,313,
370,322,246,538,389,719,921,833,014,556,226,381,738,494,599,807,718,386,831,
144,959,792,748,009,034,303,649,244,265,732,594,735,899,002,777,865,968,834,
541,313,543,216,871,482,069,094,132,175,866,512,711,850,287,371,760,156,258,
965,421,230,579,855,165,653,780,212,861,615,829,556,104,770,978,905,836,167,
907,001,654,864,978,199,050,172,890,637,432,711,888,072,792,656,110,653,999,
991,385,037,321,770,428,223,169,582,577,876,990,355,300,255,532,623,535,102,
216,582,889,917,579,363,383,742,825,704,591,061,576,985,449,081,968,791,121,
355,381,701,396,742,785,604,785,846,449,382,546,931,779,983,712,448,887,924,
331,496,760,915,196,502,326,750,789,982,062,155,751,689,704,185,806,404,480,
590,482,417,058,551,559,258,438,839,388,197,784,974,209,954,122,096,089,056,
048,952,562,172,079,743,163,790,953,635,434,237,172,021,945,997,426,643,320,
646,834,593,048,483,852,745,151,127,886,725,141,058,404,398,131,907,525,678,
705,788,671,520,135,687,200,186,522,304,641,366,592,333,002,656,995,554,798,
838,080,181,764,503,129,014,664,511,464,601,366,190,213,717,318,698,144,204,
368,478,993,561,379,872,621,547,970,602,448,314,386,304,699,717,560,746,262,
351,573,894,024,803,873,950,285,525,776,748,764,503,427,043,786,988,489,114,
419,636,328,919,784,299,653,776,039,004,310,170,366,799,550,267,701,293,918,
670,019,805,174,013,542,390,373,702,263,060,402,731,269,880,493,693,272,119,
080,564,410,077,598,655,031,759,703,394,376,207,732,571,265,691,270,467,571,
449,055,279,424,413,139,362,607,979,174,870,846,642,504,046,219,796,521,658,
079,506,112,598,641,839,335,778,278,252,200,710,619,525,989,557,057,118,563,
268,508,708,838,604,039,543,918,392,369,686,558,184,345,595,024,630,380,083,
631,592,712,828,995,466,252,118,631,406,902,205,536,687,806,325,322,617,842,
665,104,468,528,887,594,420,785,519,210,036,023,815,786,965,998,985,571,291,
587,114,310,411,442,229,932,587,221,216,297,878,921,146,610,208,772,736,642,
173,544,454,682,201,538,922,645,276,216,648,275,789,089,746,020,021,593,721,
255,198,430,266,339,053,654,075,056,900,636,409,169,337,524,065,795,095,116,
747,528,061,226,306,868,467,682,199,908,618,280,954,855,890,205,374,952,097,
138,739,175,822,989,758,590,236,728,624,187,428,138,651,682,698,947,586,389,
896,295,250,687,864,360,406,360,697,764,185,462,269,741,957,774,149,063,956,
224,238,901,682,458,526,286,729,760,688,276,607,330,568,156,770,005,767,868,
405,975,364,671,871,062,779,200,742,220,661,145,371,856,202,155,288,207,981,
656,194,034,378,609,980,336,179,804,317,873,896,746,705,727,409,450,178,056,
849,866,638,689,107,345,075,138,430,818,895,585,525,770,539,444,449,154,883,
111,091,984,875,919,630,700,037,137,939,450,293,355,996,670,800,608,669,896,
207,251,868,512,806,772,024,905,350,751,235,272,379,709,722,874,226,958,689,
005,491,806,436,040,177,394,009,579,042,055,258,217,044,161,989,925,956,103,
635,291,525,120,787,880,662,449,942,406,729,740,009,678,150,453,348,584,906,
397,267,475,209,238,344,941,389,813,438,737,216,611,947,513,843,013,489,856,
539,781,396,651,346,287,174,666,556,277,341,361,047,631,204,167,596,615,657,
598,594,656,245,948,203,272,263,617,519,005,675,912,504,183,143,263,992,325,
188,022,004,785,919,716,040,959,686,287,151,964,317,981,698,810,823,858,297,
092,389,485,503,625,600,230,182,007,697,715,821,325,077,834,740,306,708,032,
778,519,720,950,748,809,088,078,041,227,441,897,582,662,507,938,983,944,359,
626,381,433,083,730,482,145,748,177,396,455,574,859,797,708,270,648,630,121,
953,270,040,346,991,382,743,282,365,593,292,258,529,614,010,632,325,064,916,
020,162,172,795,595,945,093,400,023,917,619,245,644,763,715,903,931,116,587,
221,008,816,730,710,469,492,442,407,087,546,599,121,962,020,369,612,617,548,
919,896,916,588,386,351,866,157,320,340,931,311,973,966,904,926,631,617,753,
445,461,887,440,295,546,765,041,975,788,204,967,758,530,862,796,034,386,792,
547,101,880,084,064,456,000,915,670,585,596,181,813,046,052,122,653,878,801,
702,757,697,042,846,621,487,938,478,771,278,038,490,723,371,177,250,151,096,
733,442,097,110,400,296,955,265,656,044,543,449,481,425,795,608,004,744,620,
930,759,172,347,997,304,949,164,954,083,277,907,219,298,837,541,456,028,316,
491,445,147,803,628,791,212,775,532,424,800,629,525,086,642,400,153,889,159,
541,117,297,782,304,806,483,017,291,605,196,393,809,619,721,964,093,401,578,
468,938,412,018,333,116,924,886,203,304,186,503,585,322,962,609,814,581,946,
813,885,855,484,840,658,356,438,816,296,898,093,955,663,269,164,313,350,399,
248,232,429,927,902,366,528,421,038,193,617,962,105,242,742,194,639,306,548,
507,844,657,419,061,997,174,370,781,326,523,808,822,704,826,085,046,985,122,
835,848,483,859,695,941,732,039,222,960,357,668,447,147,726,817,233,104,228,
790,412,830,700,036,049,243,669,194,087,126,651,062,962,556,953,665,680,202,
868,812,277,707,506,987,013,788,552,564,488,621,790,019,788,069,789,365,200,
817,681,526,935,512,502,569,554,121,612,344,005,615,515,109,834,242,231,168,
950,868,030,792,997,078,807,441,118,209,795,103,496,776,717,846,313,296,765,
715,819,152,312,645,291,554,365,251,927,778,593,959,981,939,408,226,424,621,
497,803,032,405,046,810,981,786,959,973,017,740,558,451,251,623,772,015,132,
894,704,262,688,295,070,439,967,188,553,982,691,867,692,535,431,113,606,515,
225,785,622,723,169,150,792,518,063,757,485,122,881,640,955,294,697,935,565,
528,038,443,432,181,653,497,556,554,037,907,416,031,792,601,380,618,190,629,
496,584,491,538,812,255,627,803,774,080,989,509,140,621,023,379,463,821,959,
641,460,682,630,755,158,751,083,917,693,485,776,434,627,291,617,059,330,448,
418,714,832,780,508,071,466,892,882,272,842,552,101,699,692,422,105,349,542,
873,470,039,516,900,830,977,783,678,062,065,318,284,130,265,597,917,509,647,
917,571,708,882,614,789,361,887,151,126,771,399,733,917,065,354,636,895,673,
401,590,966,991,323,537,265,336,446,058,637,306,919,763,523,958,746,529,429,
171,564,231,783,457,415,372,279,143,363,176,495,238,818,064,536,522,337,266,
439,573,568,031,386,484,868,012,994,198,042,139,889,519,930,063,603,681,365,
623,107,528,068,252,839,830,824,672,983,999,620,008,022,938,908,487,470,571,
828,388,988,855,325,267,519,297,855,375,298,949,524,813,925,585,585,414,900,
060,571,878,369,213,163,300,906,743,924,242,213,095,816,292,642,892,842,685,
271,306,923,392,356,358,135,727,324,478,550,204,693,940,387,417,197,736,619,
772,874,823,474,587,741,886,570,310,187,363,212,583,960,984,233,284,339,170,
496,905,547,313,392,395,497,611,254,499,917,875,901,772,029,979,513,595,157,
600,120,298,903,868,627,811,142,437,468,757,266,600,522,227,770,770,638,472,
583,714,618,414,893,272,305,126,909,258,024,579,615,561,174,403,768,024,781,
647,992,225,471,727,658,542,186,672,936,023,426,498,832,784,281,168,306,112,
995,861,874,302,570,218,318,699,689,680,936,300,630,104,631,016,325,726,828,
652,579,305,860,861,851,205,609,267,369,783,039,081,611,098,987,329,183,739,
370,330,476,092,738,170,547,598,061,567,864,072,473,510,770,783,127,671,115,
662,265,091,131,329,404,809,850,079,253,728,960,360,098,534,947,939,743,200,
083,616,581,831,687,773,493,988,201,322,626,868,596,766,450,312,574,295,772,
057,077,281,328,266,585,545,547,614,080,235,560,791,089,251,112,126,539,256,
974,155,579,451,839,280,800,518,426,319,794,771,879,728,849,664,656,050,808,
586,784,847,059,466,779,836,031,311,065,550,438,729,881,300,376,740,371,349,
458,657,055,430,162,394,392,839,022,044,158,357,142,887,213,388,925,063,134,
863,236,361,050,276,725,543,145,553,346,572,551,219,981,058,930,592,093,696,
311,807,609,091,608,684,542,206,454,341,734,173,378,946,032,182,088,299,633,
192,597,753,150,884,680,511,561,821,268,109,212,184,666,025,514,843,826,663,
310,217,482,981,066,018,828,891,335,390,850,047,231,862,518,694,248,480,870,
408,736,080,314,222,431,102,814,672,603,164,578,297,349,908,390,526,866,641,
988,788,885,831,829,901,253,915,459,023,575,669,424,347,343,113,903,531,364,
366,526,065,005,282,335,966,513,083,040,302,335,229,848,334,049,340,268,282,
670,671,322,517,890,503,531,641,832,668,270,195,992,583,130,734,012,244,063,
623,370,653,326,921,107,676,152,913,374,598,982,176,262,093,561,377,160,560,
239,519,505,604,225,069,867,873,667,961,418,388,189,982,887,592,476,415,527,
351,531,735,264,049,151,818,711,336,578,949,746,268,540,638,890,415,787,951,
354,762,779,192,610,578,889,385,472,003,735,726,124,818,811,168,226,472,077,
962,067,313,463,459,744,626,027,420,117,681,638,967,653,125,050,330,049,016,
983,301,416,438,871,792,759,973,369,113,082,159,425,459,986,313,469,490,695,
089,384,322,977,816,068,728,708,999,669,323,278,335,770,395,808,854,161,079,
589,433,266,889,830,450,936,888,514,376,432,532,890,386,511,667,933,783,782,
630,714,161,761,434,140,060,361,409,407,139,776,500,596,960,751,229,279,715,
415,930,795,575,306,701,105,468,653,037,959,650,907,336,937,909,267,431,848,
215,649,030,347,284,698,906,274,919,610,932,535,564,749,650,192,100,820,818,
795,884,607,088,282,957,831,235,097,411,572,177,211,251,188,057,315,254,726,
941,154,891,078,977,639,884,700,206,751,138,441,779,980,817,160,625,060,289,
533,492,530,621,805,743,772,821,512,530,311,345,684,115,526,364,220,984,059,
919,502,507,752,444,684,600,459,184,945,885,810,112,292,014,960,955,646,755,
576,960,887,325,230,529,232,612,928,065,633,391,778,556,291,296,962,257,714,
467,096,871,911,403,995,802,702,030,517,945,678,074,082,661,976,461,985,496,
174,725,427,427,623,339,733,089,310,428,970,006,867,572,015,246,600,773,432,
366,330,770,486,798,955,737,668,005,543,112,602,391,326,821,265,012,421,875,
228,372,547,537,141,045,648,987,244,624,262,258,911,369,048,824,365,959,100,
321,297,202,007,973,270,094,193,100,741,674,136,101,049,078,950,089,268,057,
781,036,039,429,523,756,610,944,297,352,583,731,244,977,189,655,187,569,658,
962,254,972,860,676,523,491,891,905,004,434,453,777,259,190,490,779,605,676,
267,649,965,072,733,948,173,685,983,463,043,659,670,003,651,334,062,993,250,
109,862,971,328,250,427,101,747,505,815,449,399,209,519,188,706,448,854,996,
344,126,795,198,500,515,849,471,094,300,664,662,303,463,470,284,974,690,535,
268,992,659,406,612,249,629,589,444,819,375,097,254,065,267,849,837,455,868,
409,095,039,398,506,505,265,758,808,254,411,837,148,585,131,981,040,703,276,
424,575,280,961,038,845,107,412,405,472,871,142,184,815,722,504,104,611,526,
973,565,889,820,461,156,636,252,059,521,159,998,250,695,319,930,249,554,797,
201,213,552,218,471,370,483,290,717,034,390,171,726,153,797,787,341,207,889,
026,052,326,345,918,730,234,220,413,729,225,826,108,757,188,080,911,988,926,
088,691,232,271,101,296,771,006,192,913,894,705,743,127,674,371,461,878,877,
637,561,216,903,891,552,384,703,687,054,200,421,898,163,165,165,287,508,742,
292,009,624,277,138,088,686,441,451,091,496,910,187,339,175,218,288,502,694,
113,351,565,853,482,635,208,696,736,054,657,945,667,320,473,066,064,616,717,
403,403,226,185,541,069,549,530,195,430,988,025,701,944,194,577,807,367,752,
657,255,224,472,592,370,133,432,489,174,181,694,786,094,406,418,600,089,277,
833,501,904,215,361,869,466,989,912,564,231,382,181,078,001,341,559,036,588,
536,236,476,136,411,408,686,829,636,555,277,020,499,644,477,633,398,883,810,
230,876,990,739,525,052,536,790,360,336,880,864,465,876,539,033,293,847,598,
657,637,214,205,990,482,672,607,058,314,628,747,938,245,163,107,198,897,823,
744,185,629,725,089,350,801,508,129,321,438,557,431,835,169,725,027,971,650,
490,416,397,455,689,151,341,848,346,427,696,834,706,524,588,835,303,684,175,
425,332,870,597,673,782,428,743,734,408,523,505,865,756,381,405,460,856,414,
214,090,503,375,097,648,469,234,770,980,912,168,924,888,144,879,818,216,264,
045,217,729,677,905,540,778,828,078,601,255,820,319,298,217,061,551,367,440,
230,775,945,519,744,132,742,307,001,689,983,676,021,169,611,174,253,733,956,
370,407,480,159,629,630,354,112,442,792,848,462,679,743,912,914,844,066,698,
445,831,314,793,196,365,850,815,152,349,877,398,237,156,728,659,158,057,871,
430,708,045,617,194,835,311,784,384,664,946,599,394,346,660,946,039,041,688,
569,807,701,405,812,491,709,120,953,111,332,994,527,667,941,042,913,793,113,
311,676,865,714,360,659,316,666,648,260,444,619,975,645,535,696,620,774,991,
171,788,932,891,317,367,022,710,196,694,183,273,648,495,369,416,798,812,557,
542,242,092,490,513,189,567,645,428,294,656,622,814,768,760,749,159,791,543,
466,627,832,541,255,230,934,488,397,051,870,694,742,512,533,728,629,410,096,
617,997,815,159,655,801,932,772,540,761,509,123,888,490,607,340,377,862,785,
693,781,068,193,668,903,036,648,851,569,080,444,761,753,741,886,853,313,870,
894,186,501,822,995,064,399,496,978,237,277,894,748,365,479,071,922,603,174,
910,352,325,593,448,847,232,520,394,509,955,412,120,727,438,082,729,833,758,
248,615,820,207,744,093,083,876,778,533,865,055,162,027,156,044,676,685,988,
132,934,003,275,434,044,032,065,259,804,451,036,709,139,857,693,814,284,594,
950,480,809,217,751,259,883,102,863,389,492,319,223,377,628,376,084,992,334,
757,646,382,385,541,562,819,478,028,498,664,790,075,996,747,618,777,801,563,
910,239,314,947,377,588,135,248,120,206,293,642,607,939,073,315,341,492,160,
124,841,445,879,141,848,593,228,388,829,030,399,015,554,632,262,317,751,027,
251,894,377,693,309,251,473,758,175,463,751,950,466,991,003,353,682,328,197,
232,281,468,079,897,851,372,393,219,804,212,835,758,159,865,864,846,397,213,
222,429,965,391,898,369,650,765,100,904,706,395,897,263,930,825,506,386,671,
205,265,743,738,563,452,840,315,812,680,100,984,996,885,325,253,648,831,216,
766,550,210,868,478,977,362,847,474,694,876,757,282,900,899,312,215,547,760,
700,514,496,933,338,103,985,475,389,280,352,624,413,596,375,058,080,564,916,
775,962,566,515,498,626,923,652,336,749,925,856,493,988,487,758,593,437,677,
510,323,145,072,423,618,260,377,732,739,328,825,627,364,434,922,647,527,386,
306,124,183,629,497,214,307,365,067,200,335,149,623,670,941,162,068,895,275,
468,673,037,549,813,119,532,655,570,398,406,384,599,976,360,395,383,099,218,
711,281,871,549,830,454,695,847,719,389,453,490,039,790,572,782,873,222,231,
190,434,728,776,006,903,216,108,426,301,645,609,378,111,130,407,535,369,018,
071,417,511,136,200,153,442,261,078,311,523,801,955,071,508,814,602,439,821,
083,282,463,460,106,228,418,495,497,642,366,373,192,192,882,879,897,663,921,
803,267,350,984,833,572,804,821,703,930,036,129,012,965,911,813,280,876,251,
846,735,077,093,283,382,087,083,776,588,166,492,421,728,958,875,405,568,469,
485,983,655,244,338,641,204,035,532,110,804,299,507,027,840,158,014,062,934,
919,547,914,151,895,304,829,983,001,126,030,327,249,948,950,429,856,326,819,
517,635,022,225,891,322,520,428,854,703,198,703,887,842,441,807,868,821,950,
745,648,953,861,733,489,408,461,574,872,202,128,312,869,293,236,104,010,719,
106,862,585,895,599,824,756,268,728,209,572,350,278,058,791,984,718,811,674,
729,146,102,548,538,955,912,733,858,484,339,531,225,631,638,529,312,815,772,
240,706,895,574,375,654,571,875,820,801,696,851,076,102,745,643,117,979,829,
593,319,192,433,238,290,580,128,793,068,539,628,781,451,260,026,342,879,503,
770,703,376,317,447,722,332,546,580,906,867,978,943,863,052,925,716,524,061,
042,931,501,319,958,972,506,261,556,850,504,428,637,911,093,571,819,391,132,
424,202,454,849,959,460,607,020,149,157,629,986,182,324,689,540,982,256,344,
163,350,184,342,966,687,510,163,203,258,330,542,004,321,628,348,101,462,422,
385,059,603,443,793,756,089,682,500,385,102,249,834,779,419,278,446,869,410,
044,157,993,544,030,420,106,890,684,083,245,288,269,305,917,818,696,495,592,
915,086,797,909,588,605,641,267,859,338,844,081,726,602,364,080,815,382,517,
987,342,579,051,557,975,069,281,391,135,694,423,412,975,583,231,505,241,534,
786,815,988,680,889,750,956,910,848,871,408,780,278,425,317,304,871,218,566,
287,151,456,859,183,384,956,039,463,782,269,913,738,417,349,449,307,151,625,
991,367,597,754,020,569,293,483,711,528,260,021,040,903,573,049,440,186,304,
274,240,734,169,852,044,508,462,513,627,537,021,672,937,825,329,750,778,946,
168,617,827,307,995,255,874,228,713,869,234,863,757,649,370,028,855,883,756,
189,576,654,586,679,375,274,132,575,022,997,699,099,699,206,255,260,808,419,
153,138,385,663,881,120,432,944,830,173,877,949,750,267,627,334,772,373,407,
961,108,892,532,253,281,473,946,653,915,413,242,923,348,933,774,775,398,652,
769,701,631,027,532,797,209,718,358,782,296,635,432,420,721,800,813,772,392,
066,517,765,771,353,107,805,177,802,750,769,492,271,928,355,724,008,150,740,
598,337,898,875,826,035,431,758,811,032,690,483,465,503,920,989,421,015,426,
461,393,885,871,670,899,837,450,447,719,661,996,265,637,453,056,820,035,724,
747,039,075,920,788,463,527,425,591,727,897,750,796,621,215,211,261,310,097,
819,935,914,410,554,968,569,242,457,983,524,126,813,022,305,642,258,878,829,
488,538,278,019,595,395,101,154,624,026,485,595,981,219,904,801,283,601,005,
586,802,848,810,689,244,584,717,506,934,881,266,313,882,854,158,395,880,575,
141,510,505,314,725,956,548,063,264,918,079,942,360,015,565,943,615,660,363,
165,801,002,034,959,794,151,501,438,352,066,537,321,201,771,118,119,823,978,
980,186,704,879,614,669,265,105,262,221,405,580,967,294,624,198,451,900,503,
060,041,142,775,208,112,749,152,494,610,731,678,123,022,862,473,242,393,288,
167,664,156,866,129,987,102,687,691,378,085,898,771,312,609,988,673,129,384,
943,160,005,110,537,423,979,789,066,341,247,043,626,841,708,222,193,476,333,
488,204,356,859,230,190,058,581,233,218,295,419,711,342,074,142,238,045,278,
429,526,006,668,385,529,311,677,537,398,769,562,254,318,186,208,232,699,955,
848,041,716,501,789,463,002,959,490,822,877,937,549,873,206,962,337,618,964,
116,083,116,668,929,103,995,485,118,346,583,976,982,196,138,375,321,716,069,
609,781,927,426,928,895,629,813,147,537,178,513,853,608,739,812,739,673,060,
557,038,844,128,149,144,618,599,305,314,162,025,559,794,726,681,945,079,021,
985,620,000,829,789,791,081,140,145,227,525,853,045,641,471,622,226,053,770,
120,000,409,341,238,676,850,011,661,618,012,134,987,424,202,319,837,124,943,
955,045,999,070,517,985,270,688,629,228,510,114,563,191,792,771,069,015,153,
474,757,047,275,135,517,492,050,037,948,302,071,166,577,839,700,055,035,381,
707,841,249,798,890,643,925,647,117,948,977,578,691,431,154,468,183,867,880,
917,754,350,402,022,362,529,597,432,339,308,828,238,057,177,614,023,771,680,
782,779,751,172,744,418,858,675,020,466,284,007,710,039,515,796,887,369,456,
080,930,989,777,670,110,337,843,320,583,370,767,563,497,035,528,775,351,747,
784,870,404,362,631,565,546,014,527,100,514,188,174,248,131,393,887,786,146,
881,955,816,749,097,245,985,003,279,253,942,966,701,872,642,758,380,613,475,
976,495,081,811,780,086,846,484,012,141,157,420,535,834,666,822,898,599,885,
987,039,372,682,708,599,567,478,131,900,519,262,163,761,188,016,539,570,692,
474,209,142,683,443,094,687,202,218,505,797,297,794,597,793,502,316,606,124,
376,762,336,885,226,754,451,257,267,015,719,966,736,430,074,879,583,334,440,
928,154,718,804,213,910,911,972,028,443,315,971,908,581,891,981,359,148,220,
660,069,922,633,163,257,897,077,632,822,436,634,043,992,530,237,047,338,886,
209,581,137,615,851,403,292,753,989,196,227,046,387,844,319,857,063,815,033,
811,689,194,177,734,305,494,155,067,612,663,443,125,796,358,920,732,132,317,
025,678,161,504,340,601,909,513,879,716,574,896,475,721,958,917,075,200,045,
219,403,825,614,878,940,334,633,630,095,943,592,661,569,189,009,938,820,559,
949,565,107,061,622,411,767,084,573,892,720,662,379,602,127,121,688,427,795,
430,427,022,771,605,052,669,289,026,726,117,526,361,471,267,648,095,839,321,
604,747,753,821,202,259,275,473,709,212,469,893,345,809,273,993,950,159,744,
230,275,881,164,858,108,283,977,715,455,172,320,052,765,155,143,271,303,146,
139,734,802,052,354,179,595,144,688,752,902,470,233,720,443,507,634,463,493,
729,094,523,575,620,699,132,180,630,654,722,876,808,266,428,744,283,337,457,
765,119,313,571,257,395,506,004,191,656,207,184,716,171,156,556,239,978,051,
382,007,198,297,862,876,338,634,695,446,992,723,274,097,932,501,973,495,491,
654,602,361,629,519,219,639,690,529,355,459,013,072,011,206,786,260,398,909,
509,063,947,977,287,333,802,521,116,700,103,436,551,073,970,543,487,541,301,
795,421,249,662,633,840,717,328,742,168,349,353,768,806,050,678,302,335,759,
591,460,742,689,888,376,946,958,208,832,155,309,844,343,100,807,968,304,486,
426,033,410,965,166,434,300,804,023,045,252,750,456,649,339,940,013,792,537,
081,384,888,213,573,927,047,912,932,296,083,276,520,364,035,626,543,449,130,
877,626,846,875,950,952,705,872,387,788,757,313,670,398,980,066,741,630,519,
880,035,742,977,998,362,416,589,934,999,469,985,636,054,547,911,575,857,252,
237,064,381,484,703,420,444,893,102,765,998,640,014,943,847,591,387,791,688,
382,346,334,812,199,933,191,317,153,873,687,524,215,373,934,213,407,268,059,
669,899,432,260,206,528,250,742,427,578,430,808,150,294,439,410,151,255,678,
159,895,952,558,850,905,256,979,015,182,061,157,469,290,735,952,875,934,160,
459,956,342,196,874,622,555,577,013,302,162,135,863,241,835,710,612,043,817,
633,575,540,732,771,139,919,113,725,860,626,524,153,375,903,265,526,904,468,
368,666,466,263,365,792,437,608,069,541,047,805,509,987,448,388,100,466,651,
664,100,330,671,424,856,079,568,058,085,422,909,011,614,221,086,326,025,411,
285,005,581,481,169,130,263,680,919,610,354,175,481,567,748,729,497,346,736,
240,754,943,610,826,029,642,605,270,138,233,325,178,987,482,866,334,485,080,
730,820,538,943,612,286,010,743,308,764,157,896,898,806,014,967,784,779,108,
634,728,872,043,699,726,660,149,088,446,979,155,417,291,266,682,963,330,218,
695,365,565,877,623,837,966,642,061,277,718,710,264,139,727,845,455,784,590,
631,652,264,738,735,892,831,778,699,423,425,939,103,201,813,098,538,308,584,
499,296,001,031,635,454,580,994,391,653,474,997,059,742,236,449,098,536,705,
656,107,041,405,798,929,818,033,907,879,533,290,155,818,928,229,866,751,243,
902,259,232,778,831,117,591,592,867,952,922,714,532,082,932,656,239,060,410,
497,324,438,741,104,014,946,281,402,502,472,855,297,183,343,276,737,739,911,
149,818,572,338,968,926,494,874,503,823,321,090,435,935,066,474,627,525,155,
454,296,841,702,513,771,812,126,133,058,106,185,212,155,746,526,815,020,844,
459,770,302,954,907,546,970,301,457,224,879,044,651,957,510,826,199,709,782,
290,748,856,842,249,057,257,763,195,906,446,914,492,861,408,263,076,885,437,
284,098,539,114,545,141,196,980,076,115,858,121,548,317,902,020,200,612,642,
803,125,247,447,345,305,070,901,963,769,083,186,560,904,924,123,544,815,056,
830,238,051,594,783,077,369,096,773,763,264,156,408,066,712,655,468,439,365,
275,892,249,722,158,203,984,068,516,782,610,181,735,330,202,748,000,317,960,
891,867,338,025,015,423,197,508,974,985,133,092,861,193,981,845,324,210,097,
648,455,721,850,882,738,191,723,616,142,837,192,766,818,351,744,391,619,268,
778,173,258,419,603,448,828,488,973,362,064,002,591,021,839,917,639,151,756,
865,037,288,535,121,632,170,208,572,405,910,955,118,677,016,480,321,171,970,
998,150,608,309,741,234,763,641,042,575,937,219,837,785,236,228,876,745,327,
871,926,837,806,665,585,208,850,023,275,184,111,302,974,294,054,520,162,226,
101,885,813,514,556,370,105,751,002,750,765,484,367,237,851,355,810,466,478,
863,295,292,410,524,913,705,374,193,409,198,265,647,568,403,698,047,721,110,
483,353,022,235,973,785,894,744,167,966,141,977,575,564,334,938,060,234,456,
792,495,542,506,626,701,130,714,323,186,173,730,419,246,750,401,599,330,215,
662,085,919,895,078,655,365,045,007,129,000,779,916,308,742,463,924,913,462,
773,743,676,199,570,465,441,490,536,666,643,859,907,230,879,972,701,354,659,
521,553,501,576,049,887,102,262,460,887,652,061,411,340,499,734,196,858,165,
721,255,043,773,938,156,223,812,751,603,277,910,277,074,137,133,296,107,532,
233,053,755,374,687,651,923,678,300,358,346,067,873,538,241,214,006,916,220,
942,426,129,195,555,720,772,523,626,866,435,818,325,516,551,269,432,303,452,
720,261,391,146,962,863,611,903,402,825,343,529,078,769,917,091,162,713,342,
147,246,666,151,493,737,964,987,289,391,633,466,638,179,816,661,135,979,201,
571,506,907,726,469,814,263,537,176,320,766,264,517,949,448,981,530,766,561,
272,237,385,199,754,848,970,390,760,252,722,285,989,592,346,469,053,544,340,
455,270,298,621,061,384,164,208,601,861,730,555,767,858,817,271,249,080,726,
244,119,406,418,575,711,183,100,573,558,144,792,226,296,336,013,036,936,686,
305,945,076,903,460,886,109,764,616,098,176,077,896,396,567,218,800,769,992,
968,404,245,192,757,385,426,979,815,900,586,669,506,883,817,613,387,519,468,
439,400,266,778,397,544,255,947,041,016,261,258,383,095,915,812,133,807,850,
823,297,323,723,172,129,453,202,135,197,500,559,992,485,471,646,567,761,368,
361,576,898,483,574,026,521,588,103,553,745,895,647,713,702,292,682,402,691,
868,030,931,228,733,565,999,481,170,479,663,782,742,677,509,476,074,905,047,
971,845,509,352,198,562,550,451,233,567,700,414,644,421,729,602,079,281,624,
486,264,015,482,632,495,867,212,433,480,981,413,034,772,693,199,114,978,091,
427,450,054,351,711,376,811,137,894,812,727,196,109,999,873,792,529,038,702,
991,982,205,208,304,566,199,953,980,216,871,619,785,069,810,549,571,122,976,
410,811,096,620,821,191,596,021,747,893,401,520,945,711,053,255,943,760,238,
628,014,856,067,673,835,961,157,806,556,304,456,115,877,135,810,914,597,237,
521,895,254,536,988,600,264,759,535,961,714,170,279,151,627,049,535,295,592,
578,719,990,869,512,053,581,030,784,010,892,672,901,251,306,175,773,611,852,
997,775,733,787,292,900,573,562,338,206,941,084,489,635,641,885,602,609,635,
890,751,861,021,989,544,275,128,466,915,085,890,809,347,581,455,933,956,461,
671,976,350,915,796,614,302,741,696,743,831,100,001,624,074,400,665,187,685,
891,469,559,344,043,902,452,378,888,129,118,649,902,188,469,977,634,932,933,
532,055,380,006,212,881,233,355,913,164,560,542,133,103,049,520,930,170,152,
977,935,557,585,842,190,988,323,102,153,741,246,867,963,301,157,643,056,922,
927,622,410,272,178,190,489,411,494,066,768,311,521,405,472,100,299,244,388,
865,615,478,498,955,603,297,927,526,176,759,328,118,383,204,595,226,824,389,
018,068,131,323,257,533,907,997,425,757,142,414,752,501,042,264,397,831,812,
916,368,201,300,882,340,385,688,825,363,138,706,691,719,127,533,270,416,180,
793,470,901,126,637,762,491,304,534,829,982,897,402,397,828,084,508,119,413,
749,996,996,874,816,814,943,874,022,828,150,869,036,614,298,371,255,936,488,
096,314,608,407,372,532,289,603,873,652,402,575,968,110,579,995,439,538,756,
350,677,423,238,337,350,252,167,139,925,462,506,579,955,596,078,944,796,946,
440,955,899,520,115,187,301,655,708,139,411,425,602,666,936,434,398,805,521,
655,543,308,039,970,326,737,984,249,587,017,265,077,122,178,137,937,712,457,
798,725,913,858,970,104,364,632,355,957,944,082,700,439,426,648,826,180,701,
977,618,549,389,962,983,193,466,137,132,544,008,266,105,456,934,462,193,361,
429,807,982,829,819,376,992,946,220,520,215,298,508,843,548,170,326,866,795,
239,468,081,906,087,593,063,963,374,307,698,837,157,329,280,435,835,021,688,
459,472,918,117,407,013,586,636,731,595,954,299,378,925,772,757,336,733,777,
881,906,853,311,893,712,628,718,982,367,201,372,088,874,859,586,860,585,554,
565,983,902,661,658,477,365,645,076,820,545,532,903,871,729,372,370,432,101,
420,054,380,974,768,446,090,638,999,593,888,431,897,412,983,810,174,078,793,
206,065,247,243,880,495,067,304,590,551,874,733,287,241,314,281,342,908,323,
215,899,367,127,799,639,098,064,844,387,262,580,241,748,871,430,541,155,484,
869,638,445,075,809,904,379,915,077,610,741,042,214,059,613,870,488,697,204,
866,508,355,671,958,951,946,122,825,396,068,754,507,771,291,499,619,971,320,
791,553,692,551,950,165,666,151,098,650,664,416,136,701,893,109,747,982,006,
881,639,553,191,154,478,454,034,969,819,391,466,201,992,390,577,577,198,341,
316,642,942,256,718,229,628,773,671,765,148,538,733,446,842,928,270,669,716,
581,000,953,963,407,058,747,572,925,628,149,876,823,891,975,609,672,754,242,
983,417,023,173,313,952,697,869,776,418,661,186,284,250,514,907,635,145,981,
759,262,626,488,592,995,494,364,354,490,509,462,634,845,884,822,910,036,594,
777,306,772,080,073,030,458,221,778,840,380,731,446,260,933,820,761,939,574,
218,897,626,182,952,839,063,085,009,109,814,142,727,849,886,857,586,064,788,
575,106,585,644,221,381,463,988,216,266,045,068,300,011,429,842,006,722,323,
436,530,530,905,258,239,451,593,072,456,869,795,422,123,131,294,919,031,779,
799,324,230,265,337,268,142,970,305,912,784,229,893,829,439,678,421,209,493,
271,181,107,856,910,486,414,848,953,348,623,824,508,504,595,117,916,790,689,
001,646,590,683,652,859,219,981,374,364,599,739,637,750,196,833,703,369,701,
870,219,677,710,802,680,680,321,008,617,406,836,393,812,194,756,885,388,851,
331,358,979,045,015,960,925,759,016,978,201,907,337,661,562,161,847,280,479,
621,121,249,739,265,567,695,801,501,774,803,813,523,737,602,702,958,882,757,
723,986,815,261,555,097,893,213,384,213,291,922,434,557,316,524,772,258,358,
314,120,395,881,233,148,604,224,572,943,051,338,437,760,305,143,722,433,337,
071,040,713,624,547,492,974,677,676,602,497,981,303,880,935,325,803,346,977,
488,669,710,350,616,526,618,016,420,810,987,005,304,438,439,603,212,802,169,
045,773,133,480,779,759,016,221,073,143,603,837,019,142,203,982,528,082,849,
438,697,284,573,633,442,829,423,065,575,481,590,996,862,503,148,112,657,145,
912,959,937,626,770,520,667,327,731,397,386,365,721,393,083,854,449,017,566,
463,200,250,365,692,705,072,508,611,453,192,146,936,945,338,005,220,883,320,
004,240,914,189,287,255,898,566,550,148,527,168,661,255,375,248,020,365,222,
645,411,836,909,921,954,708,693,575,956,990,876,138,078,699,471,564,538,597,
690,801,172,728,461,708,944,711,480,224,332,167,562,356,509,931,934,617,575,
614,801,185,545,293,274,758,217,443,548,818,598,354,155,011,260,804,268,311,
671,857,453,901,450,130,463,273,433,569,629,325,518,305,160,234,100,342,431,
336,620,014,878,979,025,195,217,285,822,821,151,093,068,908,237,585,448,114,
292,734,019,116,150,254,698,041,264,316,451,321,630,246,588,982,348,146,330,
808,565,866,502,959,205,056,826,532,002,366,684,966,274,798,882,904,055,658,
987,539,476,247,309,217,465,702,656,296,811,953,357,766,327,564,879,338,009,
861,292,919,441,295,109,010,480,556,952,866,314,992,385,172,114,926,660,643,
371,936,987,488,477,750,389,187,033,707,351,377,640,984,163,068,814,099,207,
763,164,042,522,721,298,534,647,438,966,312,281,108,377,683,747,948,267,523,
709,122,304,369,434,105,458,601,701,321,503,296,623,251,429,806,669,586,843,
404,849,642,551,224,051,462,972,362,685,178,212,771,861,142,638,714,764,771,
177,885,508,614,023,930,513,341,919,812,273,840,313,027,351,655,464,651,547,
239,667,783,003,163,237,779,832,872,131,420,939,694,712,257,021,749,488,811,
644,397,134,441,041,216,881,502,552,723,602,767,840,190,431,327,935,367,277,
590,723,081,406,027,527,533,284,749,092,958,873,104,370,574,683,881,464,491,
696,233,416,121,709,034,208,709,905,972,162,675,826,158,093,582,468,906,990,
983,562,157,184,231,210,226,748,902,559,129,462,412,187,796,402,186,599,302,
450,591,933,389,914,701,330,318,976,797,885,528,284,420,663,216,500,534,947,
624,920,837,600,810,488,276,673,610,444,542,956,677,464,468,285,951,050,211,
915,282,502,469,723,826,062,174,372,174,311,558,306,212,708,385,229,097,826,
603,683,599,573,688,459,883,712,670,384,799,747,085,186,914,555,499,864,344,
316,652,382,616,938,758,104,274,579,202,570,559,531,593,107,114,084,203,814,
708,402,128,292,539,801,543,965,953,128,913,104,732,323,922,626,804,444,672,
143,743,524,665,927,004,016,477,459,795,557,617,670,899,259,413,522,495,779,
229,048,636,903,065,258,865,091,389,789,147,855,140,547,558,464,223,483,466,
982,660,618,720,433,534,335,791,983,508,901,339,376,986,679,099,975,307,725,
048,635,630,427,467,557,457,114,596,721,179,686,154,507,057,793,639,473,623,
705,062,040,296,196,941,699,432,880,043,292,429,416,296,853,635,942,745,584,
040,897,783,299,688,457,829,794,505,102,348,496,408,687,240,470,813,557,632,
196,448,444,330,947,671,187,423,800,979,523,776,854,189,128,565,468,758,138,
499,764,711,175,009,532,302,346,409,013,034,065,974,522,605,120,922,074,620,
187,060,607,953,638,631,616,532,503,206,146,492,732,926,772,503,612,341,216,
517,044,449,286,547,192,573,284,742,214,700,335,623,085,245,829,086,104,174,
676,841,322,657,011,062,278,733,519,539,943,429,054,590,884,082,337,530,736,
996,650,165,453,496,632,791,393,101,536,292,279,021,607,948,368,020,287,313,
284,940,219,018,496,206,071,291,999,130,065,945,534,657,687,929,674,114,987,
779,126,862,357,741,648,033,270,521,474,392,199,494,071,241,773,307,848,573,
307,509,342,000,725,559,525,823,716,105,824,668,646,273,910,936,396,124,988,
224,043,767,948,627,406,913,812,536,298,010,936,597,166,512,904,390,514,183,
647,981,397,271,865,646,533,873,587,980,187,227,572,863,532,281,052,178,043,
982,322,800,564,456,874,036,469,132,870,696,322,036,521,112,138,573,939,422,
365,443,141,286,893,912,705,780,678,500,084,105,949,829,013,313,569,932,489,
255,362,847,109,662,585,579,201,595,126,957,792,602,287,807,413,283,039,382,
145,441,104,783,165,655,145,689,422,753,594,664,944,200,554,934,833,551,896,
380,161,672,701,262,045,202,095,947,592,941,681,793,634,023,503,611,953,173,
423,206,111,924,826,465,797,729,526,233,176,698,727,640,100,552,222,924,721,
778,849,753,330,343,555,397,938,558,804,179,308,096,933,418,700,299,892,281,
114,105,735,711,134,222,954,973,851,737,909,861,490,761,250,976,427,050,695,
975,163,477,246,686,862,865,244,728,940,665,474,699,369,556,086,981,836,727,
821,124,200,089,727,405,510,757,844,438,293,607,717,462,783,548,408,258,885,
184,958,048,339,668,222,888,553,099,310,048,613,855,091,408,456,488,398,790,
687,715,884,710,930,370,158,822,443,421,348,651,274,919,820,945,577,620,815,
902,820,569,323,467,984,045,835,037,817,623,615,781,540,221,874,034,059,100,
219,937,098,791,009,109,820,805,234,812,850,090,747,916,162,782,844,022,563,
258,975,079,677,478,008,402,842,332,703,290,949,251,822,756,969,108,586,257,
746,399,664,137,481,951,981,820,181,084,428,797,368,933,086,354,012,128,408,
852,461,779,036,239,396,524,125,134,726,137,136,769,436,980,483,056,651,312,
455,224,369,082,693,534,564,749,029,796,610,835,490,653,847,383,102,497,238,
772,461,242,430,684,048,821,939,438,502,708,573,737,872,134,210,151,620,703,
404,827,834,769,844,312,090,942,720,787,091,232,808,627,949,336,750,399,920,
101,823,501,103,793,596,863,056,820,576,432,955,861,916,267,056,771,896,742,
226,948,379,397,200,138,940,129,618,991,331,596,571,717,122,645,755,580,992,
410,803,894,261,705,481,195,297,742,427,065,028,783,067,759,717,653,191,202,
191,837,920,509,912,700,950,715,294,445,825,168,261,587,350,508,551,807,688,
775,244,973,578,077,681,975,842,095,058,344,660,422,722,238,967,511,351,336,
574,169,493,234,403,898,341,033,078,166,547,264,206,762,129,683,512,340,564,
068,634,310,457,974,227,855,065,962,110,930,083,457,917,537,056,799,346,445,
789,282,847,331,715,385,242,970,577,783,487,731,340,603,525,240,779,460,038,
821,353,034,656,683,258,642,683,329,693,140,207,861,495,763,998,153,990,526,
371,769,877,834,019,438,984,958,548,822,230,154,671,916,998,858,800,527,922,
092,876,756,294,504,563,246,618,353,912,664,495,063,398,229,015,332,520,218,
975,897,874,580,467,053,541,755,653,912,537,339,724,600,080,838,226,375,024,
121,507,883,712,668,148,582,606,530,269,012,834,827,232,834,198,273,622,390,
016,932,466,365,279,929,566,850,630,836,640,024,974,864,857,084,082,442,714,
964,532,172,617,395,856,985,281,390,920,454,471,159,917,914,827,827,998,187,
216,344,805,099,078,473,854,633,395,542,582,023,850,957,533,314,997,631,567,
813,896,324,373,564,387,000,446,853,184,621,085,015,029,702,248,737,850,946,
802,613,516,110,532,505,039,161,447,560,557,642,847,833,430,376,703,335,247,
354,669,250,142,747,986,013,844,097,125,435,970,515,229,665,954,594,689,980,
702,006,683,675,997,781,669,849,559,522,809,648,127,409,989,042,482,375,634,
101,398,643,609,499,777,318,756,122,067,794,284,607,605,399,430,423,478,739,
436,186,667,003,117,044,471,800,894,591,445,263,594,946,838,342,283,536,189,
405,938,353,233,742,233,276,184,718,729,342,736,703,031,010,798,293,756,847,
397,725,248,623,372,532,639,804,779,590,150,597,249,437,521,527,122,264,361,
163,511,743,886,786,954,222,279,906,414,154,118,682,592,140,581,674,310,520,
809,539,379,925,928,140,170,536,179,954,822,973,669,775,563,866,288,713,584,
585,774,126,451,047,271,370,177,434,133,769,533,430,631,555,726,482,701,227,
513,396,261,084,579,097,952,399,917,378,188,507,098,461,113,210,586,948,995,
772,060,330,150,400,405,395,499,553,294,755,250,422,903,341,679,652,393,924,
416,784,543,456,384,371,866,006,340,332,825,044,553,446,231,801,685,930,400,
140,157,845,291,700,756,421,233,021,773,082,032,585,823,740,477,709,647,595,
498,268,480,896,680,793,420,854,116,034,689,345,909,286,830,392,639,315,665,
187,801,715,307,080,478,591,192,805,172,522,874,081,723,459,179,944,385,171,
194,412,804,754,079,513,725,882,305,199,550,042,737,022,282,323,725,760,343,
477,594,294,087,120,326,490,591,911,040,613,212,005,096,320,766,514,701,492,
591,814,802,314,751,930,125,247,617,672,677,086,086,671,189,943,322,277,786,
900,070,703,596,941,491,254,478,881,297,599,357,507,077,425,744,548,164,344,
659,559,481,838,582,454,598,100,831,897,278,803,531,883,528,684,536,946,313,
431,623,371,545,991,638,202,390,120,300,364,101,194,139,387,503,606,867,742,
259,914,188,387,714,762,948,881,830,007,762,967,190,260,131,544,420,187,720,
517,808,199,666,784,119,847,712,673,556,760,714,736,369,640,861,503,376,100,
966,005,170,046,709,885,332,490,388,275,136,218,948,418,535,774,752,358,272,
643,354,360,406,558,910,326,737,386,726,155,111,077,457,051,650,406,999,445,
171,758,076,350,066,644,446,355,657,638,813,947,920,354,528,641,360,870,911,
896,869,306,491,398,009,604,619,268,990,167,224,143,586,541,669,644,008,815,
520,669,699,064,899,314,566,676,483,180,400,479,785,238,816,612,737,632,291,
902,427,498,995,700,798,343,257,279,862,760,992,983,243,635,463,743,760,275,
262,555,382,369,528,863,620,400,923,985,546,345,113,841,157,419,601,384,431,
593,345,586,328,035,517,994,810,549,400,668,735,748,715,723,034,713,163,526,
891,840,662,082,033,655,392,454,490,667,108,279,606,460,854,131,586,381,764,
552,451,976,658,161,102,746,227,275,883,175,912,857,921,696,213,618,478,181,
576,392,281,164,438,398,370,418,618,688,936,210,125,348,006,964,385,589,661,
872,190,606,805,418,790,501,906,382,234,686,824,368,903,841,961,744,864,954,
062,938,171,330,460,428,879,793,062,197,265,837,358,791,793,324,325,222,066,
670,720,053,934,923,741,056,019,841,592,968,917,232,014,189,863,191,863,027,
482,909,946,082,163,450,497,393,899,773,100,504,634,782,941,484,038,138,243,
292,545,606,743,211,962,455,683,600,916,118,556,411,744,666,907,668,034,472,
878,062,210,479,204,594,920,575,137,454,256,399,614,293,496,037,099,047,426,
932,217,781,488,371,813,015,832,988,705,704,217,512,468,581,835,350,286,937,
671,437,268,586,932,977,083,686,561,826,441,432,153,768,405,487,638,159,119,
012,099,316,116,534,887,557,425,451,684,700,416,198,291,156,029,904,305,256,
024,973,459,910,605,295,181,853,477,893,184,503,942,190,881,246,834,594,230,
325,967,472,645,245,850,581,302,875,718,400,922,322,440,887,276,633,291,002,
665,336,422,013,269,121,340,206,057,042,247,943,574,964,860,491,530,101,884,
177,339,786,091,897,587,788,629,751,090,054,661,023,903,080,614,265,776,002,
225,899,933,057,021,059,391,832,243,667,114,150,929,978,115,952,891,677,869,
071,945,123,124,621,487,306,546,972,895,559,208,848,973,619,330,298,556,480,
705,120,591,957,652,533,810,574,861,114,761,743,802,114,257,200,798,626,748,
897,456,227,525,672,710,677,698,156,124,670,940,121,384,583,794,908,366,521,
415,550,209,846,537,030,426,937,426,875,457,937,505,607,904,983,760,535,481,
395,868,686,507,602,892,218,081,527,933,204,703,684,980,151,781,815,400,186,
836,858,619,489,017,335,110,697,821,005,399,731,945,377,623,434,731,186,844,
736,268,673,938,898,370,041,631,307,542,360,102,279,663,550,643,279,035,595,
794,743,640,403,383,893,566,610,967,291,237,511,320,247,411,445,037,890,686,
604,341,620,705,778,521,832,857,284,599,620,499,298,700,814,788,448,306,199,
563,372,082,172,943,169,966,532,433,498,904,291,226,321,284,307,565,949,336,
608,684,719,288,044,302,924,558,610,476,165,694,029,638,824,226,636,978,067,
011,891,765,567,981,333,463,713,111,870,296,191,952,558,485,502,395,722,340,
381,372,492,413,134,274,355,585,476,831,681,660,272,597,890,227,166,330,506,
611,535,836,261,273,236,168,229,374,352,367,569,857,530,710,529,904,784,004,
730,878,269,767,235,380,352,654,415,065,973,233,266,908,880,982,427,908,573,
901,384,478,228,897,651,463,816,748,257,149,741,814,741,991,952,797,040,380,
594,739,561,059,877,175,719,938,664,044,805,381,636,668,222,500,543,212,585,
770,736,030,006,980,318,653,274,299,076,114,353,412,590,749,466,567,319,950,
066,474,545,047,893,246,175,309,416,903,745,086,544,612,413,578,179,193,639,
804,994,140,289,296,671,254,258,599,628,819,466,744,078,233,964,789,760,992,
845,767,309,451,490,842,017,540,377,771,978,894,510,238,704,097,765,911,586,
133,343,764,216,307,700,985,349,401,765,088,232,595,832,447,953,517,012,670,
901,487,136,116,947,478,053,660,020,395,382,636,741,271,870,023,462,132,758,
600,487,671,993,368,419,623,682,751,448,242,209,886,979,320,308,247,999,374,
760,037,297,865,580,572,375,260,109,051,294,769,966,865,060,210,297,537,324,
243,265,009,292,999,445,075,992,206,883,489,829,951,543,353,903,068,961,549,
377,306,527,581,561,147,156,249,176,878,075,000,087,078,314,165,731,986,762,
387,723,115,647,470,682,106,255,160,521,449,335,194,836,305,813,901,837,069,
755,470,081,871,332,649,465,753,966,252,300,372,849,931,236,666,184,224,562,
263,067,754,768,918,526,318,922,362,121,852,825,479,382,779,727,931,771,555,
771,625,446,199,014,537,231,466,615,928,079,128,893,822,310,123,486,767,357,
968,033,005,570,403,429,838,389,382,384,729,351,871,636,344,349,178,712,111,
221,824,443,196,175,296,574,906,739,326,520,181,950,594,257,747,037,030,122,
114,365,353,766,220,676,020,320,747,405,237,480,340,193,082,742,438,442,424,
164,216,250,631,208,349,559,330,613,580,084,662,931,114,145,622,082,425,654,
121,486,438,731,761,393,043,487,566,379,511,280,587,433,278,361,386,145,765,
842,339,353,136,942,164,617,795,692,928,113,528,271,924,428,250,837,955,446,
594,603,363,137,143,938,363,550,616,888,757,837,333,071,807,875,955,383,109,
072,992,346,791,208,963,044,006,064,866,413,983,436,789,254,622,638,911,903,
911,759,201,312,998,644,183,931,712,830,511,389,531,406,280,563,940,606,589,
222,264,292,965,076,822,000,926,147,782,345,737,643,207,850,018,095,633,663,
521,695,262,847,923,773,534,535,808,220,475,426,030,566,341,386,862,724,632,
381,271,058,126,245,026,564,748,275,401,826,227,554,054,626,152,555,526,471,
681,334,611,260,373,876,620,451,481,444,839,429,951,603,686,309,686,761,147,
933,921,251,103,404,055,249,731,757,089,807,905,951,104,685,622,017,389,028,
526,993,776,737,526,882,748,969,606,859,392,591,896,879,392,061,861,050,156,
046,862,292,498,677,283,339,835,639,799,071,049,065,060,751,108,276,624,121,
073,701,090,743,401,421,171,697,503,043,023,289,240,685,544,324,930,833,848,
861,351,017,333,725,859,915,397,843,656,524,173,339,776,816,462,237,678,668,
307,757,788,767,303,885,874,984,277,579,810,783,866,966,884,389,257,824,262,
353,317,455,653,479,156,992,086,095,906,252,338,701,793,019,232,936,215,797,
903,205,673,249,545,985,570,708,372,614,444,536,496,001,204,036,926,902,277,
977,075,847,594,597,898,142,774,926,200,485,106,803,997,633,977,199,761,390,
479,374,638,038,677,122,199,167,373,212,009,449,364,040,798,561,751,614,674,
772,194,615,255,493,633,002,372,769,415,182,203,302,485,099,776,308,815,152,
379,932,691,795,063,863,336,047,862,260,115,574,079,326,795,396,511,049,319,
428,027,824,784,588,260,577,156,133,348,457,490,884,256,335,525,052,680,498,
175,176,373,364,109,705,991,883,770,351,821,512,192,702,696,359,649,440,794,
001,890,147,261,029,745,671,205,317,776,248,308,560,217,178,317,352,297,265,
783,177,148,036,855,515,030,707,047,321,146,673,370,247,720,685,364,316,915,
259,797,449,500,356,448,538,890,515,016,645,158,693,633,032,559,059,969,835,
450,737,070,120,317,479,059,552,399,945,987,027,847,693,130,118,519,803,696,
425,105,385,809,288,530,838,340,136,619,306,862,002,287,712,452,552,687,309,
835,621,250,263,867,077,774,816,926,696,246,399,328,508,953,482,359,450,101,
829,515,451,379,461,632,478,300,381,971,560,680,832,208,896,138,701,087,823,
651,521,693,686,271,110,153,767,861,026,756,843,050,778,822,303,158,162,799,
689,831,001,260,693,661,506,659,548,346,061,646,460,271,373,361,399,372,088,
297,153,671,248,827,924,699,852,928,214,559,112,649,453,240,965,253,490,722,
962,538,669,147,169,098,351,439,563,812,738,218,709,246,188,698,734,444,191,
976,941,159,289,988,130,826,738,812,554,991,557,003,633,264,951,821,607,295,
788,318,178,942,943,232,977,028,368,164,030,492,931,084,356,860,067,700,635,
525,365,280,763,054,493,301,680,163,837,472,439,995,165,449,551,990,647,746,
587,147,565,606,886,428,374,061,177,584,800,588,917,347,452,413,600,139,258,
154,071,315,818,818,756,500,901,147,844,219,911,174,536,646,284,991,281,778,
105,586,777,197,220,514,033,593,171,187,948,703,148,985,222,961,962,877,887,
621,481,056,690,430,744,998,625,558,099,916,216,975,064,523,029,850,450,062,
830,283,484,240,608,342,256,019,752,543,811,486,339,437,653,557,568,869,387,
788,174,462,453,315,166,899,274,901,329,916,882,832,362,907,182,362,242,268,
934,690,669,399,306,494,213,382,132,510,318,379,812,183,811,735,043,366,490,
182,577,626,633,194,458,324,123,949,542,805,257,951,193,486,997,553,401,728,
372,152,661,203,801,903,115,655,852,140,043,909,749,411,021,383,290,780,629,
493,236,218,239,804,292,954,844,483,401,919,292,205,873,222,103,742,686,234,
912,102,855,291,987,469,800,398,475,573,083,177,030,221,366,802,499,590,369,
047,702,592,474,547,044,387,980,411,608,474,732,498,762,260,907,117,099,516,
638,050,807,441,966,870,176,440,937,257,710,510,586,685,391,172,117,957,857,
245,909,499,410,205,848,816,264,146,751,843,682,579,638,191,319,732,148,650,
311,052,009,185,339,074,293,584,631,547,776,842,227,670,635,700,048,535,051,
482,263,415,393,702,307,094,257,273,921,465,155,065,427,504,945,622,837,343,
896,478,165,232,006,209,181,723,722,968,093,593,635,129,175,017,848,155,587,
124,994,722,646,485,637,363,772,135,505,292,922,822,954,129,611,838,959,667,
758,465,185,161,072,479,961,656,278,032,990,600,948,280,938,907,183,674,829,
460,531,248,433,888,977,752,747,695,946,439,599,347,666,237,866,179,745,179,
625,286,121,665,945,336,105,883,220,935,347,789,419,311,910,795,139,313,564,
343,295,160,484,715,159,504,639,306,688,109,462,221,637,446,363,066,459,141,
086,262,935,003,905,160,695,650,839,845,753,547,369,946,085,601,668,857,154,
930,097,538,787,539,670,588,229,302,511,915,402,444,130,055,799,142,558,745,
091,446,880,108,192,212,954,817,949,288,618,022,599,004,155,537,930,982,604,
006,672,472,650,115,902,080,558,078,775,226,703,253,923,548,004,692,356,346,
643,141,523,131,122,742,542,476,626,483,591,741,506,178,102,674,372,156,885,
081,887,254,723,155,366,061,147,604,861,377,030,102,034,144,195,878,744,730,
144,015,628,571,658,837,068,554,786,686,746,939,496,965,670,256,233,211,385,
852,594,637,911,879,676,012,493,188,082,051,520,760,987,790,497,354,170,417,
948,737,632,483,822,732,024,520,449,013,779,827,030,975,227,466,917,738,338,
547,613,795,468,124,932,349,012,638,679,254,433,909,991,315,734,949,958,980,
514,893,381,829,882,842,532,715,779,410,418,866,972,678,381,221,898,711,889,
139,752,309,709,070,290,651,499,212,540,611,078,868,781,310,932,738,763,429,
636,218,555,632,610,588,934,742,386,329,057,014,659,830,578,557,427,037,663,
378,680,927,060,484,864,343,683,393,407,780,206,795,629,633,929,116,839,236,
736,821,283,288,706,454,967,889,024,998,322,772,890,206,142,559,867,689,922,
895,922,437,267,493,378,709,093,015,407,874,260,190,032,529,738,931,220,382,
892,441,089,688,909,812,310,061,060,186,815,709,889,364,908,097,855,311,670,
853,207,667,867,799,665,790,099,174,644,042,728,227,770,043,267,482,896,679,
819,741,358,999,318,975,920,375,523,341,529,034,766,442,243,763,269,267,344,
044,448,502,241,688,777,778,641,877,907,697,683,700,111,282,519,750,046,215,
528,084,862,610,690,189,608,884,382,304,742,594,753,525,609,568,406,109,743,
587,695,630,815,039,162,564,569,563,473,075,772,221,914,842,372,911,167,535,
309,246,597,374,568,945,301,634,634,405,511,394,548,161,223,142,124,267,139,
107,845,339,136,743,983,808,066,787,131,044,785,862,738,997,372,263,430,648,
494,297,125,800,747,628,955,554,778,008,912,007,558,968,782,592,025,653,689,
522,503,081,891,214,855,986,791,491,779,586,730,954,233,196,548,174,573,383,
102,837,591,078,089,432,793,539,671,264,365,709,902,040,878,443,237,171,127,
326,672,227,907,359,221,009,004,169,635,891,882,309,421,012,354,265,135,264,
327,485,431,081,624,299,853,591,806,680,479,411,810,424,585,725,361,365,361,
637,087,059,257,448,418,520,731,449,008,408,758,751,069,060,586,269,853,614,
529,623,099,212,377,369,931,837,253,156,341,409,430,285,928,172,016,350,739,
542,297,454,329,596,829,897,285,887,182,019,262,580,518,291,479,017,913,942,
895,368,705,514,894,154,688,208,317,590,429,014,302,984,997,686,790,310,725,
815,779,674,008,905,993,692,222,532,385,317,348,231,837,108,370,733,049,360,
532,503,441,410,960,135,516,706,581,575,930,421,066,940,010,463,075,585,529,
950,473,086,874,195,316,664,518,773,426,294,432,708,490,923,467,259,089,454,
202,947,029,415,837,226,835,485,762,306,717,776,371,972,923,171,520,487,452,
951,418,537,799,709,990,333,826,282,132,999,689,851,225,526,072,340,804,188,
910,918,764,631,008,404,259,369,435,843,343,257,613,617,329,741,224,896,980,
460,140,039,257,962,347,457,539,156,923,775,399,060,341,486,181,675,648,296,
861,420,457,204,832,734,130,754,605,381,575,910,958,849,600,787,818,249,869,
927,053,982,477,063,185,396,140,242,321,652,271,474,095,546,444,207,077,100,
248,706,160,278,267,673,704,337,434,490,493,292,973,399,948,266,974,575,756,
119,749,011,005,336,996,430,772,930,851,547,005,711,982,056,849,673,552,535,
771,815,030,898,047,203,108,742,050,737,335,292,940,311,307,662,934,793,215,
641,613,330,719,628,104,652,495,589,665,107,291,647,826,975,140,224,155,396,
228,162,132,593,252,028,843,451,794,943,880,341,527,142,377,032,619,685,409,
574,349,997,009,572,097,995,657,675,361,917,416,814,992,459,787,771,019,511,
610,284,890,636,825,131,036,266,489,350,223,769,471,908,529,349,791,543,395,
657,543,849,188,620,786,581,448,195,464,025,209,931,838,776,790,185,236,869,
659,553,442,811,185,595,370,257,141,864,216,667,038,236,568,658,455,138,684,
377,041,419,100,284,655,519,007,982,450,929,188,278,884,041,534,517,705,137,
724,053,864,382,243,508,879,933,373,694,075,896,713,482,329,653,929,359,977,
417,013,976,296,787,012,591,966,221,263,169,214,140,044,845,415,620,281,580,
811,108,037,889,951,667,362,809,696,592,209,813,492,871,459,316,064,304,425,
498,558,112,053,227,954,698,389,835,841,604,048,024,855,921,941,655,271,015,
350,797,444,017,179,384,724,365,158,263,628,112,828,571,884,043,568,749,862,
278,344,910,702,451,642,577,928,485,731,116,847,303,626,359,924,472,354,545,
419,868,857,583,851,146,244,369,430,395,152,160,723,726,890,887,851,980,739,
167,381,352,999,589,374,033,587,940,939,328,334,392,431,649,184,451,379,333,
164,897,475,515,463,918,124,296,755,231,926,475,191,071,508,435,444,873,148,
147,665,737,126,227,234,441,079,424,399,540,559,780,666,774,590,130,277,863,
878,681,611,818,274,094,904,222,626,319,956,022,958,651,029,543,562,401,099,
341,739,335,700,914,157,986,213,282,967,465,540,536,278,978,316,632,204,398,
735,964,523,377,282,636,404,910,244,129,669,874,308,426,194,917,422,257,489,
693,339,086,408,542,790,343,800,452,510,429,768,486,481,973,826,421,860,524,
184,392,572,616,324,963,779,860,517,226,408,650,406,793,867,286,369,267,203,
200,032,754,062,368,505,573,066,238,615,233,318,449,758,453,909,132,170,641,
028,566,078,832,252,577,938,797,364,393,543,958,705,234,708,784,090,816,627,
270,854,692,462,007,213,380,383,157,528,075,468,213,247,555,130,830,987,445,
136,093,091,639,107,127,722,706,948,495,347,957,892,524,057,602,430,938,273,
746,192,777,149,183,724,442,487,133,194,298,451,743,572,658,236,167,552,021,
169,187,317,885,935,309,002,475,530,750,326,068,175,231,222,635,218,902,207,
839,715,308,617,199,739,499,152,949,986,761,446,996,588,219,722,056,641,132,
767,969,096,359,006,662,139,532,849,489,130,934,090,964,613,103,911,774,371,
259,809,399,245,493,601,139,374,875,385,650,835,692,358,592,247,143,042,048,
964,757,469,301,339,774,533,996,484,210,403,783,308,178,067,526,122,474,011,
031,721,217,734,430,184,815,362,180,509,922,590,698,614,001,650,047,485,319,
069,070,565,985,170,275,388,589,988,806,362,853,542,149,464,638,752,699,484,
623,068,192,107,522,425,641,879,479,883,991,817,147,160,696,347,472,373,303,
355,395,869,545,070,874,051,124,085,936,233,079,832,309,654,814,132,916,104,
748,937,722,871,656,343,599,788,930,355,801,927,126,846,450,523,759,468,162,
461,736,262,442,192,037,771,973,023,692,138,622,236,225,967,648,880,281,293,
888,418,660,220,530,009,388,742,829,828,776,774,241,608,337,742,598,489,953,
020,306,830,938,412,393,775,114,402,364,675,508,208,927,119,147,655,250,825,
997,176,404,831,289,171,247,478,774,421,334,754,452,873,727,815,212,162,762,
945,211,597,363,834,992,289,840,729,762,956,009,943,860,186,479,319,063,982,
500,801,159,565,876,881,467,306,653,536,600,671,487,713,152,703,414,934,460,
958,898,437,754,747,012,430,648,495,497,330,313,608,470,782,936,259,940,025,
829,709,013,161,034,254,504,161,143,677,161,545,941,943,953,418,229,257,034,
316,800,599,951,455,472,091,810,319,617,301,825,659,861,812,516,152,931,402,
968,594,135,258,594,789,436,069,728,545,529,477,027,068,829,276,382,588,692,
580,436,026,045,989,243,886,909,601,855,570,979,594,071,898,967,583,402,677,
495,407,926,090,129,771,285,889,574,226,099,768,982,490,626,429,462,612,024,
223,829,586,027,727,178,601,096,647,738,905,549,892,619,059,942,969,767,858,
695,448,651,960,784,460,340,281,575,941,603,874,753,015,174,959,969,067,522,
927,613,672,356,817,486,327,236,800,817,396,422,517,145,956,695,212,660,518,
039,552,785,736,580,987,199,569,478,273,137,727,705,519,841,230,223,935,362,
482,930,389,839,215,673,007,436,197,665,653,573,548,043,492,011,157,833,081,
537,030,374,457,210,596,268,759,526,447,148,878,726,337,247,265,877,380,297,
183,625,425,179,487,751,949,861,359,328,406,609,847,113,955,543,027,516,775,
688,166,584,307,794,383,183,066,371,062,690,043,160,402,163,747,862,877,356,
305,791,730,117,968,997,124,081,412,471,512,644,358,119,579,830,357,631,807,
583,975,256,030,525,007,126,580,219,436,096,002,429,171,630,233,575,684,589,
146,253,568,180,002,753,026,921,108,125,416,693,403,921,571,805,476,668,612,
828,866,565,098,662,402,889,762,404,766,214,702,369,565,303,448,344,198,193,
396,578,574,850,694,818,370,157,933,868,157,717,494,263,374,264,886,718,370,
476,033,159,975,700,991,020,502,058,655,584,900,490,033,040,584,139,955,773,
828,829,536,084,058,638,070,018,939,113,467,298,184,375,538,291,619,737,609,
347,152,421,706,739,838,949,381,744,731,584,243,639,962,101,978,144,780,668,
087,385,735,389,626,696,990,311,340,034,819,653,958,863,100,380,770,665,415,
337,324,127,613,028,134,275,158,870,108,372,184,174,497,828,693,754,667,846,
832,336,756,992,927,692,333,140,915,614,672,306,807,838,672,251,364,897,255,
046,533,740,632,908,526,590,901,858,410,894,845,698,369,404,610,949,300,295,
848,506,297,770,753,474,195,991,871,566,114,375,829,415,728,273,495,727,825,
130,241,022,538,549,070,353,231,523,711,222,835,661,030,983,424,219,341,154,
114,740,917,252,372,698,341,699,423,717,309,020,649,170,793,647,983,715,701,
945,279,910,295,953,944,670,019,825,873,670,662,740,997,843,197,451,095,982,
043,475,075,765,225,449,908,701,238,959,542,556,897,317,203,285,337,021,958,
198,664,208,509,528,865,618,005,470,761,785,068,781,951,196,584,140,763,369,
847,439,836,484,940,086,239,806,877,718,506,245,775,774,532,199,864,434,858,
673,170,822,117,926,440,271,358,244,992,433,727,308,289,210,558,244,282,824,
403,171,588,010,768,325,481,345,212,604,085,773,107,329,106,139,512,367,499,
239,304,179,473,717,127,936,855,861,595,955,198,400,869,434,406,823,459,172,
740,933,294,952,919,070,725,808,121,027,238,864,277,586,650,399,975,282,912,
934,008,871,662,556,117,975,304,249,591,138,835,294,482,093,139,840,473,921,
258,525,139,566,479,108,776,304,904,540,628,628,320,462,595,120,104,564,622,
381,664,040,293,063,884,154,365,467,565,363,449,339,546,301,431,008,172,151,
499,899,301,692,297,351,253,323,617,816,691,483,847,774,151,141,799,487,469,
573,334,042,949,804,320,289,935,196,754,020,065,782,750,921,357,749,982,814,
429,259,027,658,603,532,900,549,467,152,269,514,879,119,277,657,554,426,150,
962,065,562,913,588,246,351,405,099,303,558,680,131,915,078,831,902,629,343,
891,767,795,599,674,317,544,881,951,331,996,828,402,392,817,596,325,691,710,
569,906,377,080,947,545,492,626,877,064,004,215,579,313,213,295,847,038,208,
488,161,220,658,379,745,950,094,190,871,972,805,090,001,175,773,877,662,026,
860,851,801,840,152,751,576,493,936,587,419,242,203,974,210,082,275,052,667,
024,522,214,821,278,413,754,255,800,053,428,721,593,212,732,010,685,039,105,
220,342,559,323,886,401,058,392,455,689,181,115,573,513,720,956,372,225,077,
752,370,568,977,067,248,897,946,185,524,406,034,904,416,102,852,402,662,608,
776,870,434,306,967,805,037,173,762,254,729,458,486,463,320,718,042,617,800,
947,834,658,131,719,855,387,368,789,606,935,454,239,345,133,052,741,066,489,
168,602,100,304,662,501,576,442,065,649,780,434,204,958,363,003,316,019,002,
426,915,891,464,413,871,822,161,594,144,405,198,799,958,305,852,756,898,235,
498,420,995,570,821,726,878,923,313,235,964,103,546,548,672,673,769,296,502,
912,035,659,718,046,157,716,566,000,350,708,602,987,640,670,439,265,627,857,
132,115,159,444,013,712,998,510,053,303,964,634,200,222,063,829,193,284,291,
864,549,882,048,024,313,182,960,666,960,104,973,945,905,090,172,603,846,941,
576,885,769,452,447,192,516,699,317,318,922,450,039,985,099,105,032,770,821,
598,937,481,329,356,051,454,686,050,779,053,113,170,281,386,783,067,958,905,
102,643,035,419,123,260,900,102,617,678,347,335,213,689,741,768,632,437,746,
753,921,893,662,127,160,489,586,176,911,354,560,941,493,381,528,409,688,655,
817,642,730,499,897,667,851,268,554,009,804,850,182,885,518,530,977,385,826,
352,177,028,095,847,782,492,806,075,680,405,095,000,813,274,128,321,430,256,
503,709,293,766,957,454,444,488,659,360,903,242,336,531,555,675,220,621,873,
236,103,078,286,640,027,373,994,581,709,007,981,625,122,668,551,944,479,243,
399,787,557,583,796,167,583,382,819,006,110,594,958,665,897,600,162,892,310,
905,179,718,474,556,365,253,674,492,295,496,986,020,717,922,551,782,004,216,
058,136,098,263,498,339,188,197,886,045,453,224,928,014,246,897,980,941,675,
376,765,740,264,058,240,534,821,835,038,793,317,099,258,485,624,292,814,563,
788,966,441,800,582,253,111,982,005,621,652,031,172,255,249,493,618,275,831,
849,617,584,852,327,057,653,746,672,904,922,923,771,084,253,617,656,499,365,
086,257,238,383,807,287,195,625,938,417,253,728,031,611,590,196,305,969,259,
318,697,291,455,202,127,446,024,329,063,889,851,700,643,107,110,509,413,470,
412,545,080,771,924,490,249,905,259,512,443,480,949,035,294,493,495,933,492,
147,047,429,352,771,236,644,574,544,012,893,107,320,879,360,241,146,603,696,
310,008,126,651,038,160,591,351,984,329,340,346,063,908,657,691,375,520,476,
883,836,789,140,291,008,617,835,709,238,009,894,794,260,072,946,989,001,793,
418,088,663,842,522,676,128,192,439,484,706,904,707,756,108,644,812,856,513,
368,678,329,351,543,682,212,225,185,674,984,438,630,659,493,349,604,111,656,
112,551,337,817,930,457,157,266,868,343,383,778,741,673,111,714,202,730,808,
373,198,743,080,954,344,011,757,023,657,098,344,133,371,306,468,828,205,811,
806,909,817,089,771,385,107,784,992,635,395,107,018,155,799,943,092,744,531,
932,370,807,929,443,188,454,674,882,657,599,846,567,654,944,822,483,242,475,
478,194,845,261,968,287,025,445,879,114,352,563,458,734,790,431,234,546,784,
560,166,335,695,618,584,861,117,247,538,352,137,874,854,159,619,793,282,805,
204,901,566,767,419,607,116,034,964,565,296,431,386,997,669,973,540,311,438,
827,454,533,849,593,057,379,515,091,316,380,278,651,813,267,529,655,517,766,
184,319,730,322,091,191,670,157,342,701,479,093,016,892,570,966,923,605,784,
831,824,428,379,104,615,403,509,784,906,864,299,384,952,331,040,402,865,705,
242,510,528,839,400,518,807,518,634,937,642,238,101,254,612,263,892,499,506,
231,956,057,476,386,299,745,412,570,450,199,421,545,412,278,318,667,425,154,
863,208,330,128,527,334,760,154,832,374,617,087,327,379,960,856,739,880,114,
861,725,874,254,828,964,120,065,297,517,768,633,669,948,384,690,839,346,719,
407,171,809,402,927,718,898,910,609,610,153,353,592,109,775,587,144,559,888,
176,988,008,998,974,087,528,372,636,328,931,849,288,165,409,944,369,358,522,
776,865,760,180,957,158,554,571,939,142,350,405,307,839,027,208,177,082,155,
650,767,634,494,868,112,424,802,844,245,191,099,064,702,533,332,863,670,029,
331,741,877,472,322,827,073,532,116,041,626,449,358,463,846,287,886,661,410,
281,438,785,179,493,254,156,237,013,488,834,774,243,335,835,548,022,456,625,
173,072,231,624,059,349,269,079,171,260,713,405,310,998,097,193,856,350,286,
396,927,484,041,307,717,934,883,714,822,138,847,983,426,086,507,872,105,731,
972,388,501,681,984,230,460,414,574,467,641,235,484,104,276,416,685,621,382,
042,071,615,337,849,071,147,480,397,524,711,623,527,442,453,184,890,417,835,
545,879,178,599,561,307,257,236,703,083,034,966,634,312,463,631,071,051,941,
322,080,943,768,063,615,478,458,882,315,441,539,098,073,699,431,513,899,692,
514,739,088,948,134,029,146,674,300,129,177,173,498,011,245,370,574,139,408,
391,886,994,244,758,919,610,536,431,239,474,442,740,101,183,054,445,145,566,
684,541,035,888,449,525,132,746,929,828,319,759,772,589,823,779,112,698,723,
970,056,351,146,536,774,165,246,375,015,766,047,947,974,321,647,488,437,718,
112,966,743,364,783,912,436,380,290,334,278,363,614,380,240,707,524,438,516,
265,073,349,783,063,541,648,951,191,861,937,287,116,666,961,161,557,935,026,
168,964,478,164,481,038,455,116,576,785,446,453,752,708,611,336,048,643,679,
249,636,056,937,500,562,092,091,717,832,001,124,206,097,859,081,892,642,605,
097,125,562,417,162,510,578,683,877,832,736,787,184,286,293,636,469,078,456,
441,199,058,848,082,955,178,558,871,198,974,986,341,884,293,414,651,796,284,
119,705,722,091,950,338,354,861,120,128,524,026,749,706,690,355,358,405,959,
117,052,587,220,860,230,548,393,769,700,570,712,026,425,781,521,557,673,276,
347,712,529,930,793,156,551,519,710,178,536,284,420,337,402,474,024,701,123,
588,882,908,150,971,862,567,878,627,634,148,337,004,950,536,308,359,506,770,
692,350,802,944,638,469,824,931,068,603,132,277,591,865,631,787,746,596,411,
717,962,803,168,248,198,144,396,035,311,249,124,218,115,500,037,802,218,726,
815,237,304,575,035,952,753,988,535,764,127,402,790,316,616,705,744,812,615,
382,478,966,134,561,013,108,406,321,502,076,282,074,839,615,123,144,559,181,
223,180,040,383,223,029,234,298,973,712,743,840,751,560,060,362,902,259,569,
734,329,175,797,965,857,545,122,945,677,450,284,021,411,643,534,900,378,728,
096,849,060,579,470,546,674,299,759,056,620,373,912,048,144,526,295,752,125,
214,801,117,460,247,832,174,926,553,746,839,113,133,476,763,534,497,150,994,
365,099,455,475,885,672,624,970,944,514,736,878,903,318,465,965,347,499,026,
543,670,155,318,279,398,262,298,022,684,079,887,421,659,497,910,894,462,162,
708,207,810,411,434,326,698,621,157,563,233,513,588,656,500,669,971,357,539,
151,444,084,639,477,399,066,450,974,616,500,895,861,745,193,778,516,069,398,
882,511,989,879,902,781,850,129,586,869,138,138,730,680,025,756,567,079,685,
966,839,698,568,229,105,441,519,131,369,002,144,484,163,938,238,466,213,137,
856,927,222,109,532,896,405,846,350,793,072,517,551,288,032,698,195,140,004,
398,468,162,869,233,895,757,466,201,161,260,714,590,983,670,309,393,425,913,
723,121,892,047,447,749,651,333,873,281,973,905,430,486,779,866,609,436,413,
893,728,897,859,672,946,925,115,493,458,388,265,493,785,710,340,009,148,120,
983,854,427,080,015,251,922,299,794,159,852,141,228,761,993,048,789,407,417,
018,262,196,184,275,729,846,502,030,532,561,722,701,226,405,569,446,630,949,
330,029,128,863,651,637,742,062,730,625,617,372,787,486,639,881,142,340,802,
865,982,843,415,025,677,370,363,280,772,957,110,880,661,077,482,407,055,959,
857,173,317,014,123,484,553,159,501,943,583,390,881,218,283,265,580,400,327,
256,752,947,330,422,441,249,250,676,406,402,273,671,742,627,740,655,953,196,
131,597,827,562,635,082,419,069,702,307,848,596,025,043,099,236,753,137,424,
482,014,551,897,354,449,880,642,239,750,887,977,349,205,350,776,422,626,424,
632,556,093,605,212,650,741,728,354,692,963,321,554,792,972,744,873,188,163,
013,406,598,365,878,362,756,277,894,547,813,026,742,265,342,575,527,677,233,
899,639,068,667,490,633,778,370,218,936,395,317,854,238,865,739,671,210,820,
767,367,075,718,826,478,502,213,354,133,092,048,715,492,067,321,858,660,154,
659,101,380,617,698,327,549,507,101,699,319,114,487,829,801,763,126,073,552,
576,527,026,912,186,105,214,305,660,337,503,532,931,867,389,580,117,273,510,
441,755,564,395,196,291,272,111,101,747,583,203,775,304,058,576,226,469,772,
531,657,624,296,710,576,822,018,615,263,988,409,809,911,817,672,190,557,877,
509,686,859,311,882,793,116,885,644,073,413,245,552,016,427,137,853,116,898,
396,920,126,347,587,481,887,913,247,822,952,570,488,011,602,438,009,319,524,
872,363,129,137,025,898,109,321,926,956,989,151,557,212,271,943,748,765,972,
784,840,529,570,745,624,224,781,103,732,219,475,616,053,056,386,250,971,790,
787,498,612,219,920,221,589,297,065,494,432,013,013,811,965,664,638,482,721,
373,623,572,579,594,016,960,359,170,016,107,803,231,621,252,116,430,874,246,
687,429,034,787,594,675,242,318,774,510,548,543,313,521,707,509,641,005,821,
812,023,942,731,792,049,482,578,950,398,922,647,669,970,262,934,571,831,568,
568,556,149,513,528,455,027,089,575,471,889,834,385,643,209,855,021,358,199,
288,109,952,508,854,971,042,969,166,496,600,945,996,177,545,201,600,475,618,
977,117,253,027,864,432,436,362,336,520,720,636,085,987,247,989,955,108,839,
106,286,873,755,108,000,750,968,721,399,497,001,934,968,231,005,874,005,941,
455,661,225,920,799,662,247,612,531,935,204,877,150,762,834,861,668,181,541,
837,535,434,946,855,026,632,117,913,321,257,398,287,855,437,726,770,814,881,
060,594,121,817,414,357,480,359,808,275,621,796,367,544,176,274,508,034,726,
083,473,429,094,262,322,819,438,159,247,709,267,221,254,738,904,585,031,144,
820,170,081,445,734,797,441,198,616,973,334,282,421,181,663,716,956,789,000,
666,576,275,138,603,155,859,948,802,100,362,468,040,968,061,724,897,640,577,
714,206,642,286,690,184,102,667,120,599,426,205,677,093,047,189,509,100,948,
307,430,088,812,789,936,535,906,367,456,682,762,728,415,154,564,991,320,728,
311,165,201,318,228,777,580,079,357,830,243,966,224,179,116,626,464,377,285,
616,792,603,442,028,348,731,361,475,294,860,460,569,644,225,135,155,385,126,
122,697,633,685,123,181,160,552,918,317,213,376,004,696,700,365,632,948,516,
758,306,980,363,770,609,620,502,170,144,698,269,170,398,604,382,941,873,337,
453,878,468,962,151,846,839,739,172,362,080,408,691,001,285,713,018,148,113,
752,130,668,141,251,056,848,800,477,889,089,240,275,310,541,713,282,565,402,
198,560,612,916,370,242,306,006,737,865,726,666,167,290,172,751,495,364,200,
432,153,009,346,915,330,055,131,528,996,572,005,637,009,949,560,000,584,791,
001,043,302,480,633,954,177,355,573,499,941,643,460,311,475,451,896,880,411,
356,505,221,644,681,881,136,208,832,225,915,995,210,142,892,501,459,995,099,
752,231,752,507,139,035,911,402,070,563,420,299,218,745,297,999,641,262,289,
036,983,309,132,531,841,182,155,615,821,238,581,394,214,275,711,210,286,605,
445,131,191,615,113,998,143,184,721,814,495,359,140,906,453,896,896,299,945,
121,046,679,040,622,444,374,503,693,833,172,499,194,162,483,691,506,777,867,
484,315,801,237,778,166,675,296,679,346,626,192,224,407,650,724,393,199,742,
613,050,394,594,301,177,774,891,026,843,958,102,106,983,793,066,735,389,086,
118,258,167,726,527,056,009,498,406,020,418,885,129,832,656,828,036,342,591,
975,784,444,933,497,646,378,474,059,726,301,632,886,623,765,045,718,096,280,
362,669,966,762,580,254,130,241,377,198,806,206,636,168,514,555,412,181,217,
239,635,826,545,268,222,259,954,258,825,235,987,425,597,252,107,408,708,339,
995,464,040,636,277,214,982,256,833,910,477,768,085,641,298,269,736,985,135,
814,650,081,018,008,303,852,095,409,364,392,919,070,202,769,005,978,022,810,
508,807,672,523,001,652,884,570,763,418,904,581,441,895,898,481,855,372,916,
841,586,070,121,914,725,694,541,728,008,785,823,564,613,082,973,965,285,557,
588,147,195,939,842,144,945,063,682,023,285,494,899,264,310,454,474,017,974,
036,300,878,350,831,208,305,304,371,763,191,947,376,494,792,069,115,004,534,
370,243,638,694,296,978,984,161,943,657,307,778,564,847,610,725,962,238,547,
805,786,880,805,133,019,886,316,417,477,872,076,032,390,116,777,319,354,892,
652,939,233,734,566,271,078,208,127,011,962,162,937,492,673,966,274,619,100,
767,007,763,914,738,042,930,476,728,133,728,070,336,182,667,632,764,557,969,
464,428,055,367,519,580,311,054,169,298,377,947,697,502,536,198,426,218,104,
328,729,752,677,176,069,181,427,223,676,582,756,679,335,129,921,818,407,057,
623,527,129,755,221,310,695,236,863,764,742,189,699,099,209,189,078,331,592,
479,227,892,741,382,465,631,000,466,884,090,240,527,460,875,797,122,083,535,
368,715,582,827,091,454,624,875,072,113,022,867,395,664,907,338,832,797,118,
814,534,699,115,581,638,680,956,506,285,936,324,121,142,643,429,431,945,487,
387,182,829,521,436,524,981,775,665,109,756,306,766,612,350,058,359,270,398,
916,110,423,678,666,267,408,893,674,678,705,186,915,769,852,010,806,370,375,
883,155,014,908,771,407,832,125,204,596,624,010,567,298,324,064,167,675,260,
601,247,635,442,802,386,701,021,554,395,448,241,973,998,789,335,656,733,249,
494,084,526,763,017,090,628,931,577,444,355,057,773,204,538,751,656,399,746,
526,225,833,619,081,810,990,137,915,667,315,543,593,111,211,747,036,376,529,
692,576,923,046,351,283,916,264,618,439,200,247,219,404,241,454,487,706,084,
194,139,442,413,308,281,602,444,680,562,975,054,773,009,015,475,220,016,509,
713,330,226,319,087,852,921,238,411,747,144,012,496,556,375,883,283,924,271,
028,523,944,778,105,509,021,413,491,642,934,731,045,315,386,791,018,869,688,
630,227,058,650,327,315,449,274,779,342,779,442,490,904,662,659,307,186,468,
496,063,893,036,420,568,483,381,102,585,351,387,052,357,115,291,107,282,819,
862,015,128,301,243,731,468,960,931,623,244,498,259,861,707,956,361,137,106,
247,766,480,620,406,547,218,342,554,541,426,534,388,049,218,043,108,698,898,
738,166,903,016,354,568,290,127,504,380,759,053,775,824,758,703,899,002,207,
174,876,966,509,680,370,275,879,618,335,906,178,684,643,057,554,398,712,703,
462,842,459,332,868,795,572,344,812,334,461,128,980,047,173,475,412,526,002,
481,366,584,599,213,918,423,606,703,609,098,209,538,214,029,484,116,520,579,
432,503,688,960,459,459,061,924,538,988,088,247,581,130,161,914,259,795,702,
092,815,801,147,590,919,785,572,462,532,334,324,866,286,378,456,946,271,720,
795,463,137,322,286,891,306,043,066,210,718,312,642,496,880,837,925,865,243,
816,151,676,019,710,760,297,192,156,309,709,227,594,596,761,955,148,550,275,
796,613,599,218,433,649,584,087,537,730,715,631,012,903,252,844,790,414,331,
910,057,230,570,687,289,489,938,521,315,628,646,994,402,516,074,752,837,470,
774,777,596,474,161,010,897,952,918,293,025,878,192,478,056,314,106,047,284,
163,464,016,712,469,017,175,614,434,621,128,989,123,153,285,077,081,627,664,
329,688,070,473,317,496,479,644,130,140,429,082,645,189,901,143,216,091,203,
861,555,384,205,765,009,531,089,218,731,096,357,294,725,029,880,478,279,235,
686,298,564,460,738,779,463,826,188,332,850,979,798,221,904,209,699,966,201,
953,096,043,618,580,170,580,472,734,113,411,200,055,636,778,268,524,543,748,
224,153,861,649,757,353,158,383,289,187,107,475,921,664,888,429,761,745,906,
691,162,697,484,207,698,166,787,565,741,216,629,042,863,692,076,757,077,379,
557,067,826,907,280,307,596,021,937,912,584,878,458,068,323,391,411,934,669,
553,344,344,703,631,454,466,575,355,987,122,156,948,130,166,291,357,405,463,
066,504,688,052,139,670,535,306,706,964,463,261,782,953,294,645,943,364,904,
575,856,604,939,464,962,963,090,167,639,409,371,413,230,649,765,044,836,230,
050,855,043,962,678,154,317,239,382,817,390,290,897,193,672,754,797,324,805,
935,118,405,126,464,552,164,280,630,392,436,563,853,027,017,714,955,910,433,
291,113,806,584,847,468,006,193,447,628,943,726,949,405,916,826,787,938,563,
644,359,793,906,937,856,459,845,861,885,543,680,883,248,901,229,530,401,033,
477,402,119,384,474,446,464,329,021,966,794,359,609,204,701,032,755,070,935,
890,427,923,089,187,758,719,177,709,900,540,340,713,044,111,261,902,380,290,
465,175,929,825,324,190,277,352,066,661,413,112,683,968,839,198,586,031,009,
664,469,887,449,830,353,110,963,023,278,801,415,971,848,257,926,594,717,595,
774,268,307,411,926,538,092,315,171,910,426,898,519,472,036,217,879,227,593,
476,050,065,441,172,533,319,829,758,442,114,779,627,644,621,648,284,488,340,
205,870,647,496,473,291,374,318,644,098,161,823,169,015,920,105,285,531,071,
375,101,429,948,003,148,496,178,754,941,396,668,211,659,219,048,306,701,296,
069,801,004,809,616,322,227,301,081,293,683,978,375,855,129,319,761,521,294,
504,438,439,360,200,030,098,857,043,059,847,544,831,536,249,878,330,749,675,
090,295,595,494,380,863,841,293,620,626,782,714,908,616,900,988,836,524,758,
903,859,138,744,717,613,208,999,444,468,360,078,397,081,174,568,719,748,907,
905,896,508,987,695,665,760,811,496,193,493,495,179,673,752,715,092,034,195,
672,400,212,770,386,953,732,268,595,604,591,671,438,426,926,782,933,181,754,
877,774,549,069,359,726,550,978,025,945,352,553,248,730,646,056,243,321,613,
424,445,720,511,703,634,558,942,764,289,929,537,840,551,402,104,475,872,675,
443,088,472,591,096,545,386,685,133,834,132,857,308,659,978,646,286,008,391,
280,878,241,798,062,443,720,581,524,582,922,466,168,956,261,233,071,790,419,
073,199,483,519,928,301,707,372,957,332,686,535,091,514,358,866,499,564,936,
196,509,177,731,831,086,095,605,915,909,813,762,109,514,778,746,929,023,653,
745,835,403,620,070,191,062,092,280,454,422,120,147,485,392,653,017,677,345,
946,954,833,702,474,162,325,757,823,272,111,240,835,269,899,643,584,234,901,
426,159,940,903,722,195,304,583,990,987,913,961,988,740,174,227,706,776,620,
009,069,028,650,272,272,417,473,231,054,030,857,980,694,119,240,212,167,100,
829,147,500,593,787,938,078,747,289,400,265,176,270,444,399,174,713,185,204,
997,672,999,351,005,265,994,335,654,778,967,228,410,629,177,909,478,519,146,
426,544,762,603,706,670,416,255,674,568,790,163,994,750,883,307,828,904,335,
421,202,699,678,354,899,562,876,960,496,992,981,740,470,308,771,356,922,176,
433,881,338,873,694,597,640,964,381,619,097,411,470,689,142,932,849,566,108,
531,240,262,210,892,174,850,241,990,848,677,875,589,160,759,045,189,600,702,
301,785,875,789,423,791,623,722,415,276,911,800,463,525,302,325,694,480,659,
095,207,464,873,908,387,583,297,323,006,497,334,133,541,311,869,025,293,370,
926,011,030,196,674,645,655,886,745,885,760,176,262,751,704,893,702,467,860,
957,411,852,893,241,380,597,772,964,973,077,958,629,917,045,739,499,296,041,
974,152,763,641,988,917,160,155,052,905,869,420,501,452,775,905,691,596,575,
653,013,172,681,365,686,043,454,592,874,172,299,111,712,866,065,667,462,438,
545,865,257,219,817,428,958,267,380,199,853,101,702,596,883,427,616,212,110,
849,111,214,286,295,111,438,701,383,542,067,046,341,835,241,718,401,082,852,
143,431,771,975,624,561,687,960,996,014,922,576,770,493,053,862,847,146,469,
030,232,673,598,269,292,366,285,605,430,169,739,273,698,602,989,696,420,566,
730,473,595,151,761,827,148,391,634,827,971,407,241,545,994,788,582,856,253,
957,386,506,967,674,449,616,403,218,019,557,909,241,052,277,697,911,261,739,
927,984,851,058,485,161,687,536,486,030,283,608,401,966,371,741,276,417,737,
847,492,832,367,290,260,817,303,598,425,762,436,168,513,243,849,223,705,046,
155,886,916,259,927,450,912,785,600,874,283,385,113,422,902,944,657,950,610,
017,443,597,882,931,233,934,532,367,255,224,042,140,180,442,799,664,545,090,
521,762,236,065,093,549,749,739,795,737,195,828,732,111,847,076,339,258,602,
835,653,750,348,004,942,744,623,197,416,115,260,227,021,549,693,412,070,691,
960,105,212,365,626,885,196,956,231,886,305,112,851,324,750,646,151,601,747,
356,274,493,262,820,244,459,683,141,203,328,132,853,368,509,719,526,582,172,
846,856,927,483,678,586,675,786,374,074,400,909,999,999,546,798,362,182,826,
880,362,229,123,165,805,008,205,650,110,040,105,266,996,039,572,321,867,269,
380,496,843,932,119,163,779,861,666,925,698,700,118,355,842,196,514,900,794,
591,022,030,245,950,872,969,819,078,136,154,723,741,323,885,269,848,693,567,
438,275,110,796,237,923,034,241,725,481,953,112,007,915,638,795,969,135,239,
579,396,058,260,598,187,826,313,545,375,884,753,588,408,408,895,959,554,995,
307,312,277,556,911,294,700,520,576,030,836,573,641,850,431,860,737,524,079,
673,949,977,689,882,062,037,861,930,826,377,493,293,852,347,100,276,514,488,
665,334,650,769,741,925,751,133,060,346,742,028,713,912,266,436,722,046,585,
460,432,343,592,742,759,381,192,572,156,150,106,415,000,092,394,216,053,284,
694,037,611,981,725,203,708,326,059,950,063,278,527,153,308,823,079,893,325,
338,177,361,271,163,310,923,187,649,628,078,302,649,667,095,794,275,222,553,
641,492,883,176,855,622,027,210,027,637,835,106,983,583,574,035,871,282,167,
336,310,104,141,612,501,591,517,779,056,667,468,696,954,542,559,070,504,651,
333,761,130,829,831,143,489,376,627,773,834,768,947,529,171,843,006,202,166,
660,418,950,624,255,223,232,531,042,120,459,337,400,798,855,435,300,136,626,
196,313,009,380,950,558,717,020,297,821,894,229,232,376,860,134,320,435,322,
172,231,390,261,508,330,137,009,057,656,381,015,897,659,893,499,595,577,938,
007,127,516,754,983,254,405,427,266,239,681,457,615,630,208,248,889,897,326,
079,711,967,886,830,808,065,599,007,510,485,553,530,237,931,274,399,182,254,
465,651,493,246,575,609,912,050,750,776,233,338,907,087,427,117,763,963,344,
080,207,619,811,295,417,575,988,428,941,612,303,449,129,768,978,377,847,230,
272,286,655,137,676,519,641,756,843,362,564,816,755,486,641,150,138,549,056,
744,372,642,818,200,646,750,153,305,995,113,055,064,067,377,214,182,657,187,
411,189,475,049,384,687,363,379,131,142,082,761,585,547,368,962,869,448,652,
684,191,838,219,840,131,958,504,304,629,635,216,091,592,328,857,600,992,075,
713,016,022,047,960,767,030,124,834,713,590,534,075,967,904,390,737,526,706,
334,889,291,226,643,523,090,791,068,246,612,664,488,306,164,923,718,434,672,
054,053,782,214,821,706,045,402,131,005,604,820,417,329,488,824,825,103,902,
521,897,409,853,271,281,131,649,333,433,094,593,061,151,001,050,878,239,696,
299,091,388,080,820,849,127,912,352,378,647,360,805,002,356,055,908,738,142,
929,560,744,189,804,460,130,987,505,504,845,376,289,422,112,085,921,660,617,
890,046,844,477,557,266,124,526,518,745,192,524,898,878,955,927,421,214,642,
379,280,072,741,978,673,135,459,794,823,807,186,683,012,988,260,536,538,658,
157,685,895,897,884,347,643,508,544,829,365,751,020,282,280,265,178,041,768,
292,296,237,550,428,222,004,491,833,838,345,795,850,318,360,581,247,717,784,
233,863,218,676,829,771,496,651,649,598,517,640,549,222,928,251,612,795,749,
680,932,235,899,937,914,679,520,074,365,836,375,163,310,295,925,904,991,254,
547,139,274,601,632,306,483,881,648,033,610,760,064,587,938,674,662,146,206,
135,070,404,639,659,562,991,362,730,951,028,917,151,515,393,005,811,307,025,
897,542,884,268,374,120,718,779,732,545,255,650,895,301,663,594,313,493,400,
222,819,693,899,294,136,710,536,769,929,095,893,610,867,421,385,641,970,648,
806,576,076,536,974,395,726,384,430,287,534,829,723,419,992,947,602,230,374,
484,822,861,985,348,714,755,341,748,288,176,319,486,215,535,498,681,285,436,
552,059,766,032,903,158,519,525,098,639,778,871,165,221,563,256,067,874,331,
033,134,450,879,843,478,461,928,948,145,954,005,004,974,626,178,942,331,954,
209,479,339,683,063,184,188,996,860,794,967,772,626,867,431,719,614,920,905,
611,935,473,824,010,987,850,757,783,296,690,963,738,772,407,807,953,924,038,
148,260,412,927,442,710,302,288,461,707,365,580,601,020,702,526,035,883,602,
952,258,966,063,799,266,434,260,922,016,335,643,591,355,921,757,911,614,896,
234,845,845,678,821,098,134,947,160,239,611,028,356,196,059,996,699,762,588,
152,723,316,681,630,360,933,478,316,656,877,985,583,469,870,029,719,547,229,
905,646,234,045,535,903,707,355,152,138,511,022,869,196,157,819,365,147,658,
180,027,053,202,751,106,325,205,517,376,852,649,699,455,152,935,876,698,457,
380,644,600,657,791,583,967,094,793,280,902,938,500,657,841,207,339,455,465,
125,938,486,266,739,918,021,634,694,743,946,642,076,203,538,467,879,377,043,
469,523,749,944,986,284,411,127,484,276,702,740,923,659,045,156,256,410,172,
924,023,262,786,789,663,511,341,815,204,710,163,523,019,010,061,215,994,892,
653,904,489,802,520,940,579,994,675,836,995,488,810,418,066,514,066,243,780,
656,741,420,796,162,661,292,465,770,217,740,035,901,639,154,005,372,317,934,
154,617,601,575,105,426,186,100,448,663,032,352,280,391,672,942,940,550,806,
748,966,581,996,033,875,257,060,289,510,882,936,100,171,085,809,219,920,803,
385,376,716,437,800,028,549,832,304,303,167,933,878,719,445,987,672,486,076,
588,974,395,481,791,593,093,795,659,021,805,355,446,606,303,580,759,594,465,
376,600,711,058,937,342,264,539,687,688,726,199,949,319,108,945,100,596,127,
938,127,645,768,683,339,191,795,429,698,933,296,034,281,671,264,726,906,677,
863,671,948,367,308,494,383,498,658,234,672,841,135,922,606,416,067,332,165,
912,524,554,464,229,125,781,190,564,854,399,352,883,324,228,229,610,166,987,
724,794,500,468,947,393,643,396,315,753,312,915,186,336,842,554,928,904,978,
938,155,116,536,672,863,022,980,154,661,259,588,333,993,942,172,612,054,165,
400,469,036,864,779,860,439,326,934,976,377,613,275,598,327,552,774,365,478,
422,306,524,219,598,611,535,313,685,115,462,281,987,884,772,299,076,859,095,
040,762,658,915,748,051,417,627,612,500,336,307,527,107,460,698,562,178,938,
064,871,698,455,391,689,833,469,828,331,109,897,433,124,534,916,122,077,015,
930,999,498,409,597,768,126,261,829,581,868,344,902,424,982,660,831,979,871,
415,311,759,642,375,276,475,101,429,144,132,037,430,403,389,420,484,798,218,
837,409,847,453,544,558,304,241,413,681,471,643,456,980,794,540,099,203,716,
896,002,956,172,898,517,908,023,518,486,220,814,429,657,933,615,659,539,252,
452,553,119,913,704,246,048,690,889,522,059,616,970,331,791,701,494,398,030,
265,421,058,853,690,531,699,640,908,149,130,437,886,546,071,801,534,161,646,
452,253,768,623,056,451,742,198,661,580,836,387,817,402,302,083,783,117,165,
554,372,683,645,448,464,432,223,796,460,568,621,204,550,332,996,868,533,245,
095,711,996,040,339,910,182,592,592,242,545,018,518,880,152,908,073,765,363,
623,815,364,732,313,258,275,962,420,493,111,986,361,467,879,576,283,874,793,
919,685,743,863,603,870,856,855,806,806,892,123,574,924,651,599,064,608,239,
254,618,435,078,756,204,167,273,237,964,664,995,474,651,007,585,435,506,707,
810,233,492,461,682,114,863,141,175,205,108,491,363,885,107,131,651,743,674,
159,792,882,616,669,900,416,186,741,142,763,142,182,586,435,922,037,290,140,
201,627,880,926,435,060,290,289,612,115,799,474,578,264,346,178,993,563,810,
544,528,830,488,947,992,852,410,710,683,053,420,885,764,963,889,082,368,425,
689,801,587,619,549,012,261,781,277,477,165,624,652,352,066,917,025,121,382,
904,707,286,014,517,092,604,527,588,919,700,451,813,498,594,454,656,967,241,
056,124,439,878,539,948,401,656,288,586,420,914,833,987,873,912,153,014,434,
188,511,809,310,939,015,700,573,621,480,627,505,803,785,141,384,338,333,164,
236,677,471,527,198,044,198,346,894,391,987,820,206,690,388,590,686,171,930,
000,584,693,517,422,853,465,799,238,582,629,234,251,780,585,191,561,167,640,
103,246,721,963,716,617,250,929,493,636,281,444,658,137,493,586,613,237,179,
301,665,657,714,086,604,085,541,715,386,776,955,729,163,109,945,250,849,000,
962,048,491,565,620,720,480,433,566,043,871,377,079,650,191,223,788,633,185,
867,818,739,919,182,164,376,082,715,084,753,265,776,647,053,743,509,844,311,
099,402,839,417,256,497,678,596,484,737,026,195,214,489,820,338,756,024,412,
178,766,623,272,659,009,735,615,838,440,488,842,869,736,742,163,414,687,618,
525,447,053,771,545,634,196,216,619,374,458,238,395,323,749,038,017,539,673,
039,404,287,265,484,270,226,451,467,734,748,367,426,204,102,153,591,335,261,
673,681,580,343,861,710,142,562,104,338,178,331,404,106,912,616,270,423,791,
355,940,395,966,644,811,035,458,673,982,318,345,403,762,381,809,680,433,863,
004,234,405,256,708,458,380,204,116,360,359,138,907,136,889,195,367,932,913,
662,519,015,559,381,324,941,705,479,794,454,584,875,029,909,375,816,212,293,
110,279,569,035,637,994,345,482,839,370,285,004,965,390,767,744,408,723,464,
728,577,501,943,890,202,055,403,249,585,701,274,472,031,439,299,426,506,717,
812,501,334,719,637,129,020,249,491,500,218,023,519,748,524,383,908,795,936,
445,394,171,112,513,116,654,926,865,185,533,648,968,514,232,812,416,943,686,
592,384,311,746,846,465,701,716,735,208,621,718,436,202,929,656,603,924,017,
785,603,429,170,080,317,690,678,566,256,477,462,709,743,565,056,711,455,118,
604,269,880,640,457,799,135,132,178,729,462,790,827,491,846,539,675,154,674,
145,898,949,377,533,383,491,150,268,292,602,064,064,540,930,877,155,327,171,
613,390,708,120,634,367,752,959,313,300,469,501,383,134,616,974,445,899,798,
306,114,920,741,873,599,356,404,417,410,042,639,749,415,771,394,659,116,873,
278,506,802,069,827,311,198,841,036,417,135,281,327,879,363,332,040,711,886,
695,765,789,955,350,952,333,116,764,156,372,797,119,810,573,097,873,921,928,
920,342,436,667,723,938,441,479,931,757,039,456,037,227,808,250,128,041,702,
508,730,290,165,123,973,112,133,007,624,423,187,431,580,588,664,155,682,067,
969,957,226,165,063,683,890,673,557,460,885,874,965,306,352,167,983,359,972,
050,498,245,344,618,924,302,442,492,997,201,545,980,119,097,048,137,352,172,
567,789,718,153,712,459,258,976,844,568,367,850,454,689,959,508,396,205,279,
930,742,098,757,323,220,416,705,963,422,336,641,074,404,234,973,730,594,945,
831,961,159,708,970,010,117,309,976,271,838,009,109,705,835,834,795,995,439,
724,536,534,971,222,067,339,331,474,886,403,485,208,307,742,754,042,028,736,
093,664,853,090,229,796,389,790,629,125,467,444,314,258,623,202,585,313,611,
984,486,732,866,829,371,864,041,594,308,820,218,384,472,105,337,062,489,633,
588,544,217,501,990,640,093,546,766,523,913,940,388,829,970,805,827,731,853,
302,743,020,875,040,223,058,478,124,809,207,714,283,746,541,446,801,354,701,
576,576,934,284,352,987,315,355,607,701,533,571,845,233,016,498,866,379,548,
957,493,563,928,759,512,256,180,045,634,317,172,977,859,276,986,757,965,674,
817,634,204,275,224,553,187,707,279,033,148,371,173,540,067,195,646,740,389,
699,161,277,603,209,492,013,370,334,471,272,136,422,299,400,206,188,238,566,
973,247,960,249,635,172,747,815,104,672,655,760,764,733,475,762,069,787,334,
726,089,852,384,335,219,467,596,373,612,226,569,944,942,074,262,684,791,488,
027,886,536,846,077,278,183,146,904,605,972,055,123,124,399,654,276,188,442,
197,474,245,354,353,506,403,678,246,283,799,675,370,684,595,146,639,089,350,
902,654,424,446,523,107,185,022,519,273,025,092,529,484,838,648,065,961,438,
968,409,966,429,658,125,216,032,081,113,529,528,216,999,073,929,773,608,706,
186,573,718,341,969,882,467,480,952,182,255,434,274,808,832,815,036,071,550,
239,864,255,652,498,484,487,797,118,572,832,449,272,828,675,476,570,215,723,
796,346,519,592,798,164,810,787,127,840,553,429,251,549,500,382,605,023,087,
424,343,655,057,285,917,880,363,646,468,151,164,743,983,584,394,754,266,918,
878,276,730,412,114,122,173,604,327,322,024,302,536,757,499,374,215,342,482,
489,281,757,241,961,226,542,131,098,653,631,428,882,848,403,755,009,915,984,
772,151,880,155,582,111,218,079,488,725,305,146,447,112,530,172,933,389,977,
606,254,965,683,771,142,913,521,690,041,119,614,185,397,631,058,258,466,267,
728,330,098,497,983,504,869,808,088,209,695,965,616,056,077,881,436,919,565,
607,284,149,153,864,997,632,534,960,853,806,264,673,260,636,877,629,382,564,
713,057,166,098,522,059,887,534,847,127,012,252,783,964,826,428,827,033,934,
895,392,669,260,793,440,542,627,277,907,896,926,435,669,773,998,360,802,194,
127,280,763,153,889,146,459,592,726,398,874,266,629,533,058,723,701,789,480,
811,249,632,396,214,519,476,569,246,619,289,723,868,643,135,314,390,340,784,
805,195,034,850,662,050,395,037,516,831,820,032,586,237,307,786,588,099,048,
334,681,276,161,282,655,572,256,336,972,440,272,364,445,792,584,543,556,492,
036,475,099,674,827,508,016,001,014,917,968,291,188,376,733,705,332,065,100,
059,187,491,106,094,475,358,382,643,122,876,302,800,268,639,418,379,167,969,
056,166,867,873,723,175,972,401,103,367,770,868,475,201,336,805,412,161,337,
040,009,198,223,252,076,286,935,812,485,403,152,378,470,674,010,111,474,699,
184,553,863,603,807,161,737,325,580,272,940,125,941,397,396,494,471,406,008,
112,609,194,190,434,537,980,243,457,946,394,051,075,165,431,840,164,861,358,
422,825,295,843,712,280,030,727,680,603,142,722,063,386,273,418,412,847,929,
719,829,490,637,040,673,915,872,947,994,696,922,901,241,259,456,073,201,662,
694,640,760,429,603,645,760,762,270,684,637,720,728,201,502,885,357,058,522,
793,800,795,986,690,031,870,875,062,922,240,859,284,601,326,382,181,528,554,
496,145,527,870,447,086,620,438,608,566,839,898,152,483,252,203,198,135,743,
542,124,997,600,502,299,356,409,073,419,417,463,575,726,223,772,188,238,541,
656,610,167,819,696,527,440,605,414,789,251,232,776,954,468,884,657,991,121,
922,469,652,156,731,425,522,896,833,889,041,726,999,110,709,847,447,189,940,
255,469,066,284,303,189,665,075,975,632,207,778,087,707,910,864,915,195,912,
014,453,562,595,543,253,900,212,459,676,385,519,192,734,988,556,531,697,506,
150,218,169,403,543,170,373,223,000,389,291,787,345,189,135,511,735,704,027,
341,055,257,110,638,300,489,207,391,372,545,083,885,492,976,078,830,005,677,
705,431,667,786,417,849,600,089,470,529,355,198,172,246,594,400,928,703,835,
850,447,907,515,204,756,403,213,863,437,938,618,115,835,818,523,181,939,320,
305,689,676,648,656,582,301,631,819,184,435,083,382,905,319,210,487,607,813,
323,368,339,365,124,740,808,738,064,734,056,357,457,113,766,646,586,705,410,
038,907,530,202,999,828,063,830,005,259,125,660,089,327,562,363,814,627,681,
041,235,252,941,704,495,977,695,986,200,476,666,713,957,203,874,068,145,948,
892,880,122,771,759,934,672,703,307,435,646,813,066,678,108,131,631,727,360,
432,927,106,039,187,758,210,412,142,466,201,631,825,858,158,163,066,161,384,
491,281,583,527,302,615,626,344,366,667,256,090,509,424,879,707,503,901,490,
758,214,192,074,597,815,756,521,629,129,392,103,579,183,648,952,584,473,708,
595,122,176,232,931,567,075,794,843,331,924,721,410,082,795,554,935,124,111,
389,575,747,349,583,391,834,728,660,780,974,678,181,941,860,000,418,264,637,
076,884,425,186,110,657,468,006,805,367,357,463,237,842,315,935,898,215,297,
511,562,290,538,661,677,232,405,634,889,459,679,245,202,346,579,733,550,957,
841,971,442,405,621,566,956,338,540,942,120,355,006,104,413,068,407,325,777,
161,581,463,279,782,339,936,165,498,990,674,077,926,512,929,338,898,707,675,
296,066,209,047,017,238,953,185,796,051,036,292,072,764,786,101,364,997,423,
794,692,713,395,826,154,626,617,188,121,302,649,892,800,935,004,074,900,666,
793,604,846,678,500,192,629,727,985,435,025,936,536,756,222,596,895,504,312,
820,441,655,792,497,089,775,316,107,239,040,883,568,977,292,408,747,320,280,
479,156,745,496,703,292,557,992,551,789,954,564,519,782,999,437,067,116,072,
687,771,814,812,009,739,166,949,652,999,034,479,938,193,297,699,320,187,673,
743,337,014,094,950,955,592,238,371,198,013,369,605,729,802,815,311,779,939,
863,787,967,669,863,055,716,594,594,039,051,954,055,292,530,005,051,009,524,
500,014,329,568,849,459,907,464,327,678,231,660,172,014,077,914,971,343,167,
676,109,413,733,236,953,930,552,468,862,299,613,778,440,692,675,348,301,713,
357,234,275,711,978,231,892,996,296,908,893,497,237,897,948,977,173,737,734,
731,998,837,010,524,564,648,764,733,996,548,844,911,852,182,507,944,471,652,
039,193,281,335,203,646,538,308,000,651,200,600,963,873,520,543,435,097,633,
422,048,835,690,295,332,592,140,506,280,496,959,355,907,491,533,544,462,975,
867,510,235,226,034,373,668,870,265,057,688,102,790,822,446,747,917,316,581,
598,413,076,267,712,489,627,236,874,374,480,217,583,488,246,714,298,866,005,
446,321,039,815,960,136,931,055,019,857,693,550,543,385,977,731,321,018,515,
074,885,151,658,318,377,311,237,340,237,421,073,163,685,902,093,614,691,186,
339,206,319,257,243,574,228,157,663,106,152,333,696,919,453,517,915,730,402,
952,172,764,654,149,756,313,139,503,677,573,984,174,938,418,493,796,928,293,
064,527,055,288,505,407,995,972,482,498,575,923,098,677,921,567,830,500,390,
633,279,239,696,540,227,378,270,790,144,936,522,920,733,423,543,709,291,579,
991,494,857,758,044,537,017,683,219,974,536,791,248,215,434,887,408,972,236,
685,341,166,403,400,286,339,853,578,997,485,849,545,080,007,630,028,987,865,
749,776,671,112,648,367,645,858,499,105,326,515,846,958,645,754,008,146,293,
419,248,555,641,651,244,422,094,045,468,688,941,222,929,501,027,525,975,834,
541,156,780,320,802,529,906,359,870,234,786,037,323,030,164,643,076,715,961,
286,190,377,816,159,800,581,830,420,655,091,072,485,555,996,644,720,944,708,
468,216,631,976,140,831,742,569,724,199,374,799,440,000,638,217,073,486,191,
460,796,966,669,269,377,273,308,011,039,392,438,381,033,160,517,443,586,192,
574,468,058,010,917,289,435,758,256,332,709,167,189,687,795,905,316,838,316,
385,194,287,461,150,136,079,538,500,373,069,139,868,294,969,797,621,731,958,
862,143,253,084,283,047,756,171,018,823,306,992,683,777,011,642,883,211,834,
428,238,028,206,990,235,897,674,875,569,487,005,375,719,320,130,757,139,526,
097,509,720,603,186,282,750,261,040,968,665,296,918,945,874,068,071,710,911,
505,748,423,468,370,178,586,338,635,811,295,491,561,403,800,265,498,253,599,
031,699,320,879,937,437,611,020,202,878,407,700,029,534,174,498,042,901,589,
934,875,140,343,740,102,642,965,943,679,248,123,841,290,845,512,820,382,179,
306,268,978,789,569,035,776,390,831,452,250,034,387,632,779,783,021,378,208,
190,652,112,688,435,241,321,317,592,671,315,320,564,599,690,533,114,055,348,
031,970,623,286,620,290,209,527,028,428,948,923,894,984,084,954,916,579,480,
166,625,168,597,048,789,034,622,125,028,115,521,252,681,792,702,948,984,750,
035,753,127,664,910,535,347,083,661,268,169,847,722,822,107,898,720,182,629,
509,940,595,220,360,679,116,851,131,490,275,186,511,415,616,828,468,359,324,
783,603,019,260,894,026,515,987,755,913,953,991,074,257,050,767,642,258,522,
979,999,083,347,830,893,174,706,398,013,203,586,699,273,082,519,397,543,439,
663,423,977,049,593,727,347,445,832,857,531,587,979,974,584,792,446,839,763,
105,989,874,837,651,756,037,431,105,263,846,863,440,199,105,819,535,405,553,
728,349,013,097,336,965,684,231,225,787,058,868,912,854,906,443,794,808,932,
434,301,671,361,796,285,858,823,007,029,536,659,566,493,401,689,880,888,213,
866,218,122,708,983,046,081,713,876,222,897,849,426,739,415,860,749,677,132,
714,935,514,015,484,298,665,642,629,112,668,430,245,645,422,945,344,837,934,
020,632,148,075,469,449,266,637,392,482,405,866,160,998,059,825,007,485,221,
660,065,078,963,354,963,282,662,392,501,105,588,156,931,906,135,243,280,100,
139,149,719,713,493,695,970,009,241,833,245,534,559,555,957,272,156,229,950,
182,022,808,500,563,006,779,212,558,884,244,226,765,440,235,197,533,517,291,
325,027,642,645,034,361,582,731,348,087,765,697,474,944,994,955,810,245,474,
744,035,962,751,794,090,002,505,510,603,368,803,392,385,322,116,491,379,313,
995,995,679,509,080,578,847,147,018,034,155,487,385,584,765,980,080,495,468,
869,085,283,886,532,902,779,371,247,804,006,988,289,613,495,426,465,826,487,
944,387,480,705,596,820,183,924,818,233,152,458,619,041,462,209,117,232,276,
188,547,245,075,689,428,359,035,540,424,096,717,040,919,231,188,794,033,683,
540,038,492,638,874,121,934,006,791,727,301,540,017,972,384,123,831,953,513,
445,083,595,536,191,345,085,571,886,068,735,117,220,062,437,767,087,642,113,
273,365,003,400,330,166,753,025,831,388,267,384,543,717,796,703,386,062,865,
751,101,928,331,952,486,609,180,561,356,505,189,019,860,285,962,088,097,859,
280,458,976,390,672,992,359,755,117,612,118,962,277,501,798,243,494,606,987,
468,880,366,429,762,681,589,482,237,299,366,789,706,060,655,494,240,428,137,
683,501,399,286,583,463,913,630,762,076,743,805,812,953,547,352,827,927,490,
992,070,712,732,140,627,359,147,708,927,079,141,707,865,294,322,571,146,963,
378,109,104,558,030,671,844,070,414,341,648,711,853,180,599,025,284,383,672,
517,083,090,104,453,573,841,716,659,979,847,893,642,022,445,108,096,868,275,
350,249,693,600,552,189,017,196,120,617,103,785,126,091,312,921,108,018,502,
856,231,211,859,196,766,567,963,375,877,400,695,969,823,650,506,799,162,456,
947,944,135,227,219,971,229,981,825,792,211,046,621,997,858,546,975,016,272,
858,465,021,574,302,093,744,286,259,007,040,913,876,895,640,438,788,582,475,
765,487,252,958,130,767,027,578,473,361,342,562,881,237,067,856,766,046,539,
306,828,288,333,911,924,115,410,101,306,460,746,152,528,307,443,639,932,441,
277,075,570,333,979,118,004,537,724,692,119,326,004,893,077,842,281,086,661,
588,655,731,874,143,464,577,941,426,837,158,418,772,110,271,129,224,147,315,
042,885,450,514,814,176,954,798,861,437,833,370,293,010,016,537,729,028,365,
022,521,760,925,038,479,332,357,100,653,772,405,975,670,233,020,728,486,856,
660,532,228,435,116,316,202,023,692,494,350,781,263,457,866,074,478,163,740,
009,612,961,081,283,922,489,977,935,553,681,743,182,850,035,246,936,923,196,
393,910,796,344,483,992,145,257,678,818,287,106,697,394,489,047,195,884,107,
762,926,058,864,217,974,808,006,750,208,939,182,801,419,029,075,840,736,933,
557,044,119,319,169,822,526,267,202,643,970,493,250,407,064,910,112,106,215,
812,036,725,697,696,429,711,085,738,622,942,122,161,193,676,870,796,850,637,
020,454,435,815,527,996,770,354,753,327,108,991,776,376,401,009,784,847,903,
986,875,597,454,762,354,399,140,506,028,125,781,626,586,140,027,123,186,660,
677,580,284,813,922,683,839,465,160,421,532,986,063,988,671,561,879,692,507,
142,624,432,592,182,897,682,386,127,186,582,867,826,599,165,825,666,847,292,
215,003,904,852,036,415,306,327,582,046,282,160,428,572,170,597,783,041,817,
618,696,725,310,102,747,030,360,912,495,667,754,156,626,984,902,931,359,120,
872,960,188,433,775,765,132,897,844,758,168,130,407,460,056,778,772,510,179,
151,613,899,917,984,865,559,387,533,810,487,363,902,445,836,651,547,226,557,
190,046,017,824,622,176,773,930,287,572,082,337,895,725,052,147,492,657,378,
066,259,296,512,234,581,672,439,228,019,539,044,037,164,582,438,537,108,959,
842,133,042,179,866,306,671,852,160,486,323,833,968,851,215,049,602,784,165,
310,908,806,175,295,343,055,602,708,130,125,690,706,597,271,930,503,001,250,
549,164,422,328,805,653,326,110,759,179,708,070,744,664,144,281,819,030,121,
553,110,859,781,125,354,411,033,567,899,976,675,882,093,328,303,528,205,084,
906,298,845,776,203,429,828,666,627,071,428,483,855,677,143,283,672,390,957,
695,752,143,519,638,234,082,529,241,383,468,783,914,173,866,340,691,186,875,
957,129,830,969,944,932,555,849,607,236,320,428,649,527,280,721,311,220,770,
782,453,339,691,746,793,397,153,390,500,362,571,722,604,803,426,995,962,072,
871,328,926,395,577,470,652,451,592,391,284,861,969,565,275,592,112,055,896,
094,020,787,395,566,047,783,205,351,436,145,797,705,521,463,910,013,854,551,
341,354,082,993,150,544,171,615,478,054,740,978,849,493,710,519,916,517,840,
878,236,039,247,312,287,601,074,203,040,140,573,229,929,759,858,239,014,716,
371,511,230,604,056,692,499,205,971,547,053,428,210,635,681,739,400,237,686,
948,648,927,171,577,646,618,368,285,599,050,525,491,458,692,889,148,667,254,
483,312,222,787,728,808,234,700,596,781,564,461,997,295,239,541,645,616,229,
484,541,892,841,063,804,143,434,648,668,126,591,996,511,318,269,665,698,220,
155,400,805,258,562,277,093,035,325,441,202,813,367,569,408,686,549,635,553,
493,002,260,296,942,871,156,898,909,116,705,374,854,078,687,941,934,798,307,
477,226,282,822,711,778,437,773,063,809,598,970,789,890,921,582,368,258,317,
034,059,198,201,616,600,110,101,203,162,635,561,069,473,300,794,501,979,020,
257,549,940,731,239,637,358,014,864,481,089,750,994,568,987,542,516,510,521,
135,101,322,183,073,500,750,735,713,438,311,952,761,715,543,599,995,456,332,
531,558,244,882,285,422,942,577,921,427,319,152,875,418,477,749,101,222,519,
614,836,871,926,892,999,513,478,310,806,181,364,117,990,828,645,541,043,253,
879,558,764,465,910,913,440,482,894,886,572,899,677,862,522,588,372,238,573,
718,302,919,511,592,580,152,312,701,025,454,753,635,991,911,153,928,017,365,
742,906,709,556,910,136,505,914,495,092,642,249,719,208,486,778,411,654,738,
285,450,295,845,968,147,693,997,925,065,267,702,561,615,056,053,528,168,801,
581,943,318,786,066,989,279,059,725,201,975,369,772,612,693,578,781,330,788,
033,516,173,118,608,977,526,967,720,717,653,190,780,299,434,247,306,098,074,
188,339,621,828,745,970,313,792,706,767,705,668,934,966,413,929,901,361,910,
452,611,894,021,910,878,375,255,645,166,052,918,410,290,930,361,769,655,293,
304,689,860,079,182,765,988,277,856,349,284,281,646,437,263,414,729,430,380,
602,435,849,328,239,057,559,462,948,056,156,408,712,407,535,776,115,886,879,
571,842,745,639,917,361,034,249,674,269,701,650,966,957,610,244,664,894,891,
098,174,572,919,868,223,585,588,696,981,639,644,552,851,552,106,896,240,517,
720,533,767,896,743,662,851,869,817,933,569,161,653,663,928,160,239,698,321,
232,741,347,517,776,803,596,236,140,794,222,431,350,556,403,834,576,308,632,
329,143,498,220,238,485,628,645,867,453,598,200,113,002,059,349,900,106,670,
939,690,483,455,033,658,925,584,174,132,062,133,175,536,578,038,321,396,991,
105,882,989,242,305,221,128,450,101,467,563,034,788,936,763,879,503,875,496,
203,655,074,734,828,034,294,103,391,869,055,891,817,149,771,960,068,293,915,
224,972,193,010,258,014,451,970,998,079,155,160,601,250,739,844,808,180,010,
914,742,495,811,371,931,066,594,037,791,414,646,858,195,619,720,146,893,194,
140,350,184,221,592,275,729,584,295,072,414,258,322,600,158,038,418,741,004,
608,853,197,973,892,065,602,846,579,330,171,372,470,059,786,149,968,694,903,
827,455,645,420,664,538,129,595,283,315,504,712,338,973,032,844,481,042,830,
334,694,884,552,515,899,086,758,980,334,418,420,152,126,081,510,891,314,942,
605,253,466,805,569,439,810,254,982,901,581,746,245,453,837,756,690,932,107,
057,283,155,517,917,434,121,455,691,777,706,799,588,128,464,073,113,391,094,
722,752,227,367,536,740,284,649,318,514,752,109,904,968,098,156,231,806,756,
307,045,417,827,629,490,653,996,660,580,400,824,790,502,003,817,268,698,563,
012,835,585,372,331,312,424,516,268,212,562,417,272,904,690,597,500,563,047,
189,570,768,787,329,866,847,829,587,607,381,663,041,469,709,705,518,862,415,
908,623,393,526,976,453,078,423,781,396,347,342,944,618,461,305,940,379,650,
446,811,884,904,053,485,742,702,802,798,608,298,610,958,093,205,530,312,230,
107,273,196,706,389,666,926,694,618,060,504,661,572,411,661,574,286,118,970,
525,591,438,774,535,942,846,825,803,376,561,190,133,325,314,066,599,888,589,
542,855,349,393,927,816,622,283,815,483,993,686,721,474,547,800,398,729,524,
947,303,195,616,998,201,067,224,363,947,367,726,540,801,270,354,583,139,063,
231,351,480,072,671,683,707,616,259,857,657,478,325,453,858,768,104,181,102,
940,262,294,571,526,477,622,744,461,604,803,332,925,072,890,708,167,053,048,
173,833,830,137,617,998,738,153,352,893,831,430,414,311,005,221,687,970,442,
462,246,561,777,687,991,561,934,027,056,195,675,573,009,277,909,575,402,788,
073,926,088,869,266,977,902,124,337,684,999,349,922,350,260,982,188,545,548,
346,387,025,004,067,528,442,300,961,829,192,723,207,238,640,896,700,233,757,
285,689,595,804,239,458,786,478,886,202,368,971,120,037,325,372,392,548,285,
075,532,043,302,534,054,625,621,440,088,691,559,920,338,581,039,122,840,447,
541,590,610,644,230,028,944,414,236,357,098,275,256,850,893,860,660,309,374,
364,598,688,308,083,053,061,302,511,653,582,343,557,496,432,637,665,484,241,
203,569,818,405,118,248,157,574,310,585,224,084,301,643,059,480,848,183,018,
981,153,646,381,372,366,679,144,157,517,723,732,459,056,230,389,874,544,782,
183,567,281,049,578,287,858,142,347,865,294,363,980,645,279,275,508,025,755,
994,057,144,048,836,536,415,077,361,392,310,945,856,395,729,037,411,219,527,
550,258,851,368,046,105,246,803,054,838,733,767,000,936,465,283,524,305,742,
391,912,532,583,100,216,980,342,493,682,424,296,710,220,020,833,643,223,044,
728,676,590,204,648,680,492,359,341,074,735,217,695,660,549,375,967,924,198,
353,070,975,650,483,974,541,193,755,472,817,395,939,745,463,974,729,988,471,
735,299,521,711,022,944,414,159,533,586,057,327,272,767,243,496,681,946,674,
363,130,325,340,143,136,406,059,966,148,758,143,341,649,729,995,157,645,037,
263,808,768,587,304,677,932,194,967,612,823,777,045,733,774,025,114,526,055,
550,331,834,227,992,802,627,597,431,696,514,273,567,736,348,676,112,156,268,
003,057,585,070,172,775,955,579,240,937,636,188,074,897,127,825,146,252,848,
759,297,715,939,972,239,302,584,407,545,167,297,695,630,401,931,236,046,271,
696,746,308,804,878,826,402,041,104,215,237,138,362,580,990,080,701,695,486,
076,014,050,855,548,128,762,055,856,283,051,152,517,093,397,774,082,442,943,
317,266,604,922,126,616,784,970,941,922,428,398,725,147,141,498,507,986,265,
975,359,810,460,258,145,817,973,216,514,471,002,422,388,342,488,672,226,431,
823,992,423,953,427,266,701,221,361,180,717,795,854,973,967,436,817,327,402,
212,977,250,975,410,133,712,539,031,093,522,605,999,608,326,605,924,887,593,
068,230,806,281,473,046,432,329,805,811,418,317,795,290,637,024,520,672,304,
325,083,536,144,059,887,578,419,619,824,329,651,671,908,619,897,101,118,338,
671,027,861,409,383,288,931,471,812,638,032,857,568,673,743,085,860,791,966,
529,198,942,934,836,077,036,418,902,435,607,273,817,250,181,119,437,584,214,
565,394,442,448,127,747,965,757,839,288,613,562,774,776,282,703,919,199,759,
362,956,324,428,286,599,915,166,792,893,988,716,221,438,245,377,854,857,546,
042,563,484,112,338,932,618,535,439,676,175,752,287,658,372,417,775,503,476,
488,198,410,579,943,725,713,673,673,059,485,894,206,735,774,115,732,962,911,
018,845,446,797,136,174,715,601,898,430,445,273,341,561,620,276,043,293,980,
216,382,292,102,439,339,419,552,341,200,273,957,971,342,859,602,548,867,880,
413,333,666,703,695,178,700,837,001,864,400,286,239,392,362,021,289,650,071,
033,680,543,648,798,619,227,381,573,314,175,665,007,404,991,092,283,080,060,
359,239,423,652,281,080,186,116,421,314,330,637,778,999,474,917,840,139,452,
315,203,681,864,864,412,629,537,176,208,787,804,386,973,459,961,039,502,774,
234,213,437,938,704,458,984,449,688,987,243,575,500,452,422,770,658,892,196,
550,351,375,674,662,950,240,279,355,861,295,435,498,166,890,128,288,520,293,
569,140,584,577,694,934,180,922,663,605,738,474,237,992,795,882,653,308,214,
721,590,856,243,694,631,904,149,050,833,764,130,943,950,217,553,870,469,803,
987,354,822,602,937,228,257,792,259,773,058,905,265,330,160,571,969,544,853,
269,623,514,138,644,848,160,951,647,909,341,588,770,867,444,905,393,951,118,
484,219,936,608,197,534,051,773,564,786,612,048,923,871,384,946,370,338,651,
172,154,473,161,495,662,419,522,632,702,022,027,167,690,206,501,680,630,066,
371,772,837,260,700,133,905,281,719,406,189,777,081,627,746,399,445,365,794,
457,440,383,959,432,871,049,566,106,858,098,876,139,237,386,648,449,954,057,
560,136,536,012,924,698,953,609,908,242,210,357,234,643,147,441,320,880,109,
643,483,156,829,350,097,533,563,723,591,876,695,063,352,095,297,893,934,826,
344,993,066,326,958,976,193,386,119,701,951,020,567,487,547,881,357,059,911,
087,966,165,060,578,530,461,274,944,133,428,232,672,143,806,488,205,210,245,
828,906,431,260,812,904,420,440,016,486,108,986,082,249,689,255,637,908,920,
047,032,969,911,047,014,665,854,153,311,155,389,100,189,671,716,326,812,604,
929,587,799,739,386,588,751,964,197,072,762,822,704,824,618,324,859,120,251,
402,890,276,027,079,640,783,975,448,053,643,964,748,072,626,666,937,567,216,
658,587,295,285,395,461,988,622,487,863,536,452,144,377,994,309,481,374,530,
522,021,368,631,444,327,147,425,351,131,626,044,420,973,036,415,327,790,569,
270,321,045,686,745,553,350,320,389,395,490,641,181,959,485,666,694,899,797,
335,811,681,421,730,273,843,991,414,367,070,422,932,269,761,725,194,820,796,
485,481,381,297,717,915,485,236,493,572,084,758,743,478,764,078,756,188,384,
609,968,214,596,106,795,756,065,804,085,113,085,609,440,063,027,459,480,761,
236,217,093,554,495,297,348,671,860,282,931,335,244,695,207,389,596,248,366,
988,750,485,002,231,277,338,972,721,563,359,971,303,829,692,863,770,195,482,
852,461,275,287,100,390,533,357,916,635,643,582,793,360,972,045,683,840,851,
591,392,867,749,478,409,876,089,258,182,423,184,261,528,239,963,391,110,867,
470,483,635,909,915,845,710,384,782,032,527,227,085,367,486,192,216,832,366,
636,658,356,931,130,525,068,353,574,519,860,705,317,249,383,115,634,550,099,
044,782,562,624,704,371,348,929,136,372,043,140,322,881,827,223,486,078,525,
215,547,562,942,584,787,697,569,427,648,234,594,037,545,467,438,816,665,316,
389,053,063,734,319,131,821,719,306,352,559,866,059,479,787,886,509,342,884,
210,459,435,360,856,559,285,148,903,086,735,420,756,618,697,970,564,457,254,
596,003,084,131,987,203,011,409,377,889,538,961,247,988,193,448,777,931,150,
828,648,869,539,953,647,212,435,062,689,222,452,822,950,461,176,329,758,481,
293,136,552,954,782,602,637,274,830,462,149,400,002,545,130,453,298,897,371,
148,849,468,802,179,758,698,612,680,687,143,406,496,594,545,015,879,494,710,
281,628,242,092,352,360,531,849,713,190,112,753,215,590,914,908,922,475,696,
367,550,027,043,368,497,532,245,249,541,162,830,749,983,061,604,358,784,071,
131,038,881,622,544,279,175,200,878,577,188,845,237,229,104,057,161,102,935,
171,134,864,218,786,704,738,871,651,092,114,061,402,103,450,097,662,957,255,
101,899,358,475,250,176,456,621,555,557,345,234,778,477,680,728,632,500,364,
012,638,543,587,614,060,295,375,932,833,889,805,983,165,300,262,174,091,814,
270,501,933,047,814,181,951,208,651,447,574,619,733,270,046,189,136,772,404,
054,755,358,312,061,184,582,975,066,814,943,528,679,536,768,884,882,629,635,
441,996,136,413,600,978,172,346,955,126,138,303,531,241,422,783,827,712,190,
474,024,546,643,276,877,793,510,521,519,566,415,995,336,303,866,203,069,693,
449,043,067,593,569,751,457,324,060,522,245,941,578,189,366,802,728,092,604,
270,614,569,389,111,933,468,105,650,315,455,532,242,432,444,796,052,151,024,
820,153,596,008,007,218,800,037,132,385,429,185,264,592,361,192,422,975,327,
722,547,215,616,005,466,440,659,619,368,163,050,564,141,984,484,337,359,811,
425,160,096,052,615,545,326,177,061,161,112,645,542,684,685,289,244,241,759,
586,902,478,870,054,048,572,622,590,859,973,275,402,295,762,750,990,589,280,
399,998,787,777,779,770,428,855,025,752,126,478,495,482,791,776,353,622,834,
395,756,745,260,834,157,643,571,534,478,052,615,008,076,991,942,039,008,837,
719,727,731,809,255,984,815,877,180,010,487,135,228,139,460,169,690,041,923,
733,914,581,530,898,793,953,233,244,698,474,502,095,149,335,368,792,224,337,
427,482,243,823,565,096,523,835,667,549,059,966,433,861,060,266,345,903,577,
028,321,358,430,640,165,604,358,388,327,629,991,924,331,703,278,028,117,799,
855,347,680,277,385,791,625,952,240,266,958,532,713,666,825,138,305,209,701,
218,649,176,764,876,703,265,881,446,482,476,557,496,407,220,629,754,926,432,
188,745,668,867,404,660,268,531,944,582,045,532,350,516,645,471,226,934,462,
279,900,913,761,402,754,150,422,873,450,741,412,589,014,657,516,699,390,492,
436,964,821,973,392,893,832,410,503,949,819,481,322,499,659,752,528,990,379,
151,902,534,830,528,321,383,302,081,205,211,131,658,145,279,581,778,483,356,
891,158,464,818,435,372,906,267,759,376,340,872,283,019,505,448,248,496,356,
472,978,066,115,362,481,661,446,091,990,119,605,020,482,142,262,760,655,492,
260,766,969,904,737,032,641,706,702,721,292,360,006,277,801,611,294,744,924,
137,556,559,998,550,618,590,270,835,389,352,027,355,175,899,133,752,045,707,
775,165,185,820,887,331,892,346,610,640,937,985,330,446,953,395,464,438,830,
699,084,152,411,933,609,161,120,424,540,938,891,250,585,169,155,993,795,560,
752,896,128,023,466,976,504,327,986,546,590,453,225,430,878,887,464,145,264,
266,687,006,202,280,068,427,863,532,021,149,280,151,484,280,437,450,401,825,
121,760,796,763,637,636,387,778,066,323,042,898,637,281,580,021,686,144,531,
231,908,001,191,144,927,568,059,554,643,937,405,382,989,073,059,834,326,743,
133,247,824,146,043,402,633,538,591,269,282,368,308,352,514,083,539,843,600,
280,246,222,621,400,937,872,935,756,770,875,024,897,101,508,050,389,409,111,
434,242,200,060,446,803,110,714,212,374,789,062,680,765,291,755,605,726,418,
429,451,392,910,456,344,523,841,074,745,880,477,882,836,659,236,556,221,387,
379,574,011,423,735,038,112,698,962,217,580,144,107,425,750,181,879,668,328,
612,966,583,462,468,579,980,207,006,979,609,599,523,925,281,869,445,240,736,
810,366,381,845,213,408,955,258,592,230,011,763,784,683,975,249,487,186,601,
513,222,982,839,055,774,468,885,504,704,360,300,662,229,871,425,458,556,899,
989,836,809,173,016,046,528,233,983,329,136,627,974,915,180,992,796,390,218,
244,297,831,609,675,512,890,963,612,561,697,823,387,223,553,392,724,048,411,
181,071,126,485,843,330,855,094,302,823,269,571,620,790,309,037,659,177,472,
005,697,779,633,775,580,692,113,512,998,691,877,718,190,086,360,896,544,794,
048,187,094,998,075,923,377,852,043,503,413,707,420,227,940,217,949,993,518,
302,424,220,779,958,350,683,627,126,020,169,903,615,663,379,107,097,977,497,
854,176,330,775,481,043,323,693,009,483,400,672,773,986,075,534,527,144,039,
005,291,227,285,340,460,322,551,062,959,252,526,041,597,664,578,527,099,606,
306,437,962,142,043,596,134,572,408,840,910,093,259,148,041,260,164,796,623,
039,403,551,364,996,477,514,734,006,187,078,686,122,967,015,239,649,079,768,
696,627,530,720,503,353,154,094,449,353,248,513,244,265,903,112,053,599,883,
140,749,509,370,734,559,357,585,987,046,962,741,842,163,609,366,235,583,868,
822,962,594,478,758,323,333,830,801,022,651,183,011,881,914,678,889,915,226,
743,792,146,106,849,892,304,379,668,281,662,868,101,095,097,697,194,517,090,
124,493,927,195,061,167,841,188,744,776,085,055,422,566,974,272,671,138,181,
546,421,221,836,060,777,983,344,225,822,928,352,235,192,459,528,413,740,082,
470,591,551,240,596,001,714,459,371,154,616,281,884,846,962,621,200,039,784,
266,640,874,658,501,333,244,865,647,583,706,264,841,714,507,643,911,098,795,
567,147,956,880,333,025,783,946,747,846,600,777,283,117,720,365,455,137,680,
619,826,620,517,838,792,104,467,419,461,105,324,488,191,214,154,035,360,562,
732,946,473,024,947,645,206,061,902,085,146,627,839,870,124,997,956,825,661,
123,612,985,413,494,743,755,568,620,040,613,847,793,422,514,145,633,733,761,
904,967,296,721,663,153,882,829,667,589,171,646,738,709,109,006,238,807,269,
053,223,481,025,319,620,199,968,299,157,330,105,103,594,830,205,004,237,608,
310,747,032,754,065,280,466,964,390,441,252,515,944,979,373,534,387,855,575,
881,549,740,953,467,408,421,731,288,357,656,235,472,635,563,152,660,508,104,
375,183,203,100,115,133,739,982,907,040,324,579,572,796,669,935,794,026,452,
411,904,763,921,511,087,726,330,346,116,290,965,162,318,697,350,283,070,033,
784,199,706,499,774,870,621,275,448,961,184,354,372,583,777,231,855,805,779,
257,503,904,992,942,419,725,074,532,246,405,992,865,704,786,713,364,821,846,
073,183,600,709,873,188,753,168,839,350,200,058,592,628,314,621,410,025,823,
297,043,571,664,473,998,696,875,306,193,966,433,638,820,580,699,103,868,278,
544,714,120,248,340,620,267,706,228,313,580,910,653,918,441,505,164,908,395,
945,133,439,477,147,283,289,828,016,832,480,703,013,516,569,139,049,611,580,
232,660,069,516,606,652,573,205,408,105,483,598,524,194,270,533,467,548,371,
573,903,586,079,780,446,757,635,436,107,420,813,682,815,976,548,336,387,828,
931,355,842,787,487,666,052,507,583,121,728,241,084,463,055,867,697,333,051,
176,035,592,613,760,311,940,557,843,884,575,400,528,366,418,356,774,241,767,
007,191,803,454,616,440,789,844,888,506,876,872,685,098,942,758,753,167,398,
861,432,534,894,265,442,931,799,628,900,266,492,761,147,908,350,143,776,905,
296,350,314,120,436,130,579,400,972,587,593,007,106,860,684,993,945,682,902,
253,320,407,072,079,244,246,221,106,815,543,540,701,226,362,413,940,455,159,
492,874,488,661,213,403,006,080,455,480,644,278,977,775,137,204,949,207,850,
584,880,366,233,594,936,901,356,643,563,837,211,886,245,903,734,018,424,412,
887,365,289,070,210,309,612,045,724,538,234,329,086,658,456,568,274,808,515,
918,159,558,436,626,406,693,039,132,576,220,483,589,510,507,523,411,601,192,
294,215,523,599,634,989,877,487,848,765,358,598,803,685,443,962,886,485,707,
128,999,577,296,271,461,120,240,053,125,333,980,948,931,359,577,170,643,180,
289,651,867,321,109,195,614,813,689,597,862,210,291,991,211,575,612,483,326,
877,305,444,726,401,384,772,718,367,830,114,882,375,215,995,389,523,801,788,
932,953,722,003,138,320,110,092,843,254,479,515,611,785,147,081,428,468,519,
645,798,425,512,442,192,044,260,316,930,351,051,382,265,310,116,102,511,920,
518,153,552,134,291,260,404,792,398,057,768,857,086,517,763,309,544,864,561,
032,507,762,030,480,832,966,919,536,081,691,537,383,762,974,637,405,908,054,
699,325,747,579,157,890,934,139,938,711,201,653,348,954,047,401,748,718,413,
132,039,918,348,069,651,431,551,323,933,628,740,220,289,337,157,003,175,062,
972,021,592,723,148,370,841,591,862,503,699,623,223,679,592,695,448,606,678,
261,600,684,141,667,807,977,699,554,682,287,430,129,588,279,078,103,775,497,
596,532,947,939,954,813,207,833,801,984,140,666,616,693,426,863,267,718,740,
595,617,442,696,734,028,150,279,737,474,070,182,683,156,890,419,054,527,344,
088,457,358,405,822,643,293,844,835,413,741,625,637,796,488,852,932,882,038,
787,840,758,103,882,117,712,920,165,940,637,254,007,354,791,083,362,685,872,
754,357,821,123,623,543,315,931,976,023,491,017,740,575,504,022,285,313,170,
441,099,542,565,596,714,277,830,270,067,276,635,442,041,340,848,304,769,853,
030,307,144,558,030,565,168,119,907,351,355,943,438,649,840,782,868,265,026,
196,608,734,330,083,961,897,385,838,702,342,224,453,237,316,444,914,677,517,
939,012,571,469,380,521,041,457,943,418,761,738,817,765,456,354,893,188,835,
999,469,692,207,710,830,961,226,968,289,917,461,024,950,195,112,107,385,019,
144,094,654,429,714,735,031,512,878,513,401,032,959,918,535,069,124,718,349,
958,974,929,516,056,317,031,765,809,111,891,680,865,491,593,013,009,359,882,
295,476,507,705,112,458,459,135,582,250,280,548,292,802,729,322,681,583,934,
610,046,517,816,548,794,210,408,356,235,231,458,838,359,809,731,423,493,469,
294,491,062,312,691,177,361,826,857,792,426,228,386,975,553,074,216,754,975,
405,439,357,664,925,972,793,965,598,032,866,711,074,488,993,073,793,785,800,
447,634,101,269,362,763,507,406,733,237,980,473,118,431,351,747,636,427,904,
476,210,928,180,704,646,002,484,041,123,882,328,738,020,866,931,333,647,060,
280,505,081,483,873,369,166,837,944,040,110,572,525,063,657,783,197,057,646,
696,739,193,814,299,548,402,125,294,259,077,539,870,015,826,300,109,385,213,
214,154,648,038,256,816,919,710,369,682,219,906,602,651,561,624,849,854,400,
201,748,770,805,886,667,705,130,854,000,650,421,257,673,446,801,550,356,742,
011,548,386,537,451,136,198,122,595,005,275,994,135,859,365,609,748,390,779,
815,403,685,934,225,109,321,446,752,829,864,477,964,813,463,581,894,531,864,
152,182,402,146,634,485,222,234,365,701,090,274,240,267,273,422,858,711,448,
556,370,928,363,543,441,284,147,624,934,816,188,043,769,892,131,482,016,635,
144,514,929,567,920,223,677,827,836,091,820,719,766,190,322,916,991,920,869,
296,438,662,128,411,716,072,789,114,378,582,153,284,011,950,679,647,042,944,
509,011,777,902,319,796,721,183,106,072,881,685,388,257,983,614,648,903,419,
223,603,861,449,275,433,989,740,483,607,320,754,816,486,595,103,545,854,950,
784,576,461,099,525,984,555,195,639,156,015,998,194,485,975,239,205,242,873,
800,532,314,169,358,200,094,807,291,191,457,206,658,561,024,356,201,869,205,
017,277,915,621,183,998,656,140,949,147,050,732,753,603,079,518,899,690,485,
934,823,309,631,438,479,582,665,490,389,227,945,256,849,202,901,040,451,720,
660,933,125,215,295,503,848,797,876,958,540,792,017,753,976,125,390,866,465,
222,463,756,535,703,344,972,194,227,337,865,264,718,175,915,530,572,318,535,
561,716,915,092,429,357,956,528,767,275,122,039,159,411,869,429,292,241,237,
745,062,100,102,907,261,822,494,069,178,714,320,593,597,617,366,430,721,714,
291,619,852,860,056,769,601,745,798,032,691,036,794,889,546,625,007,797,419,
525,419,336,571,025,697,483,128,062,891,962,373,330,911,396,350,086,912,733,
878,579,352,989,055,257,596,901,683,672,409,815,404,926,077,437,245,262,440,
289,542,354,419,112,711,254,319,303,815,038,533,046,799,025,609,762,590,345,
556,365,430,895,229,928,963,702,701,927,141,330,292,804,109,725,579,395,882,
694,775,780,958,584,189,027,651,706,056,876,733,643,656,665,523,235,212,135,
367,749,870,104,706,548,322,608,851,935,229,763,107,945,385,087,483,537,185,
545,439,800,412,557,256,690,371,995,614,378,949,885,762,685,388,082,742,237,
690,111,510,175,386,219,619,376,814,516,789,244,419,739,247,982,558,788,881,
217,910,630,443,526,032,401,484,074,060,373,733,869,446,289,897,877,083,972,
114,228,009,363,473,511,238,779,928,177,009,584,257,040,043,419,591,893,454,
384,645,984,947,280,663,444,719,512,515,173,210,692,686,063,366,040,561,456,
441,647,377,046,456,578,695,315,808,593,150,220,106,408,729,121,883,680,879,
494,040,058,019,825,121,476,889,246,573,246,027,035,025,015,913,392,564,631,
051,211,842,850,032,972,825,421,571,170,817,654,000,065,157,170,499,075,249,
392,011,106,390,322,018,880,324,183,066,860,667,866,101,569,957,821,378,073,
068,734,961,579,378,400,080,342,783,284,423,947,289,662,183,514,190,322,204,
377,594,961,124,585,274,424,093,389,837,725,829,672,811,559,095,397,582,427,
455,430,830,943,002,515,699,125,505,205,162,666,107,971,462,034,121,142,807,
743,236,123,536,273,039,033,710,907,079,238,836,969,975,296,068,651,198,917,
903,922,900,620,111,560,815,615,478,295,726,292,615,105,652,197,988,423,636,
767,632,347,812,332,187,569,427,050,947,283,657,917,629,777,995,417,098,996,
411,456,169,431,390,097,492,300,782,657,637,303,991,949,201,447,813,422,916,
108,616,119,601,078,282,011,961,851,042,428,945,589,016,618,166,204,046,360,
777,515,490,936,893,705,493,366,734,313,186,269,623,995,450,842,110,656,065,
794,298,368,187,352,224,145,572,783,567,306,923,103,288,415,884,944,101,742,
565,775,013,999,127,149,519,352,786,281,089,830,310,016,097,973,835,511,997,
419,160,246,279,180,949,917,063,852,095,791,029,821,427,667,387,130,093,029,
685,468,765,224,622,033,342,023,354,078,787,927,067,104,458,298,244,641,700,
894,252,533,725,186,631,263,022,276,466,684,154,351,458,889,566,628,020,061,
111,444,485,524,761,532,456,868,356,774,417,732,754,984,814,308,865,680,567,
779,442,577,616,561,728,207,171,402,000,167,962,350,473,350,533,984,546,763,
599,508,367,627,638,570,366,302,502,582,096,450,462,317,862,039,713,488,469,
061,052,868,396,456,613,075,270,245,108,310,188,524,687,562,723,636,884,733,
264,880,539,273,263,788,597,309,973,400,356,043,934,685,973,084,798,143,243,
809,393,643,303,260,440,536,228,889,958,367,399,131,983,274,702,082,540,403,
807,666,954,310,870,760,418,014,636,396,008,503,108,563,537,765,294,797,678,
954,304,593,277,932,861,688,317,972,319,793,101,707,913,388,317,766,972,622,
648,396,554,979,881,054,251,188,534,382,894,514,353,601,837,322,275,134,429,
534,922,700,014,880,729,086,505,720,225,849,062,141,754,526,917,503,571,594,
509,906,527,962,934,427,622,932,218,308,846,171,303,057,874,553,528,076,246,
668,044,655,780,945,786,303,866,903,642,419,171,172,086,137,788,258,797,799,
101,815,168,078,186,885,721,683,513,681,985,109,156,160,965,363,680,694,673,
413,084,143,516,910,103,738,097,205,626,331,291,331,976,219,669,534,989,676,
595,793,927,514,415,011,285,497,319,266,636,340,443,264,004,816,950,900,284,
794,015,851,557,162,699,876,378,202,057,628,072,208,693,784,300,669,928,277,
159,173,405,797,235,619,341,198,267,749,371,683,412,503,559,874,477,957,433,
031,447,208,393,796,346,043,018,709,348,302,913,589,151,201,658,631,594,782,
136,614,128,740,217,616,557,693,603,334,843,051,609,701,988,072,309,098,177,
081,542,857,453,462,194,698,431,929,174,272,936,414,046,161,241,522,994,132,
103,321,941,026,425,754,656,062,224,873,422,909,722,439,007,389,607,953,627,
546,121,645,658,561,268,060,071,731,387,432,343,168,138,801,420,790,414,971,
875,712,315,479,942,549,517,632,046,379,259,590,164,943,424,496,810,166,707,
887,912,469,357,202,516,711,830,948,117,692,525,134,360,127,628,695,143,436,
374,237,307,443,039,301,746,760,492,075,183,448,756,742,094,903,024,950,518,
258,077,387,345,461,470,183,879,563,086,544,238,841,873,005,310,389,373,702,
909,788,868,723,905,699,501,544,244,335,470,121,311,991,546,299,289,017,575,
541,305,161,767,321,510,731,643,327,955,759,039,165,317,935,091,675,069,419,
124,368,051,666,493,394,842,590,683,280,413,992,740,745,269,695,433,577,524,
619,690,314,682,763,542,049,489,513,412,403,266,754,968,113,773,866,068,111,
236,365,468,974,945,871,816,180,896,895,630,021,195,902,189,409,807,415,819,
128,827,314,974,589,528,085,437,409,663,272,791,072,046,129,131,274,400,520,
455,888,450,172,844,465,106,651,803,103,425,308,862,957,847,689,777,395,782,
476,708,781,846,450,776,707,830,464,534,444,187,589,577,515,380,435,962,854,
276,558,246,235,668,277,488,388,215,000,782,025,052,204,683,422,064,124,971,
230,692,517,707,715,222,327,866,234,425,942,737,912,970,382,823,142,317,241,
923,260,463,889,184,574,576,331,417,540,942,726,519,345,875,407,211,238,293,
003,250,346,232,379,425,350,859,151,929,486,338,277,311,826,583,351,710,152,
837,952,063,592,719,632,021,658,332,170,720,112,058,289,621,225,311,070,156,
065,658,086,941,852,305,267,388,823,197,808,712,433,796,524,076,285,635,614,
789,379,734,359,642,741,159,631,728,465,984,363,346,537,955,301,187,501,078,
824,611,641,506,056,915,631,725,361,085,177,265,745,275,537,768,706,468,662,
716,126,244,812,099,028,604,434,693,315,996,660,438,056,653,906,133,926,395,
771,879,585,731,863,422,143,306,428,859,212,245,011,020,887,930,344,080,403,
242,828,080,562,745,608,644,285,853,903,381,556,981,940,727,084,509,912,975,
795,224,094,426,837,756,183,079,618,632,130,917,616,630,522,163,952,639,726,
792,192,848,184,681,201,039,269,089,790,062,782,904,670,115,757,460,539,514,
113,220,957,196,120,991,937,279,930,607,315,708,140,110,690,195,101,284,032,
227,351,705,828,084,827,961,337,005,018,136,517,676,272,487,585,643,155,131,
974,617,176,887,138,267,061,295,085,436,861,854,766,215,349,573,621,038,713,
242,640,248,913,377,433,962,981,872,707,811,058,392,307,707,790,030,138,519,
600,589,203,096,128,320,218,678,139,196,892,917,833,914,496,182,783,142,764,
072,266,147,996,251,092,564,752,120,677,881,786,483,355,371,669,274,102,715,
306,595,722,933,644,230,233,357,124,277,542,704,008,994,779,361,260,936,774,
443,325,990,501,596,955,229,372,019,637,423,984,583,969,489,276,857,504,783,
387,190,176,023,375,168,134,024,938,862,020,512,838,758,527,699,969,398,274,
756,736,864,588,855,774,305,651,006,242,119,028,295,947,184,477,722,925,182,
078,479,377,041,855,808,087,366,464,433,626,092,180,596,232,830,770,717,527,
445,532,829,687,255,796,651,483,330,576,196,844,324,450,519,409,674,097,294,
063,833,776,339,246,208,409,668,997,131,109,989,359,150,867,717,065,968,158,
106,954,970,196,102,673,940,734,830,940,976,362,214,966,642,945,779,674,860,
037,264,744,541,413,172,076,879,665,110,106,036,431,638,048,778,629,714,349,
524,110,707,416,773,227,581,855,951,773,211,457,099,104,074,789,509,748,797,
438,914,470,279,199,295,779,003,253,842,921,526,045,410,738,041,413,983,460,
417,947,033,410,109,069,591,618,776,864,823,994,454,855,585,468,338,883,608,
642,701,956,031,388,289,265,912,164,811,613,062,907,711,765,838,488,082,831,
882,005,458,903,244,682,148,121,769,891,629,253,944,977,808,424,631,579,079,
224,325,749,220,983,047,032,106,892,627,335,140,218,075,921,995,594,813,549,
454,142,475,439,468,929,060,042,033,326,366,331,817,818,313,423,218,674,555,
152,561,382,184,301,485,051,788,006,977,523,445,363,064,267,485,776,807,458,
200,864,099,690,741,488,834,987,845,450,430,018,787,601,564,218,175,847,118,
616,681,397,368,335,678,050,009,364,545,930,943,441,955,500,185,316,039,135,
304,931,443,799,175,953,248,441,643,846,931,431,059,483,859,133,997,557,947,
694,502,172,871,571,665,760,977,664,290,590,025,464,280,796,622,707,770,678,
678,036,078,357,649,338,565,557,926,529,656,868,445,531,272,241,420,755,582,
689,543,350,427,354,448,422,351,362,183,016,910,642,583,540,650,864,078,845,
588,208,453,677,165,509,531,027,239,828,051,629,016,674,312,264,504,427,298,
731,546,749,296,339,946,283,766,431,626,333,790,083,394,027,265,007,664,568,
291,852,844,067,320,012,373,432,563,168,776,160,426,115,202,273,691,357,218,
963,946,028,263,668,690,403,701,371,271,081,431,535,711,117,228,325,997,176,
047,521,475,223,627,601,265,401,683,888,074,150,296,825,599,646,743,152,986,
214,498,994,899,371,877,120,673,208,101,513,471,791,949,963,533,744,235,432,
916,515,019,895,351,792,622,187,745,365,796,772,921,950,379,190,980,042,793,
118,614,398,512,843,825,671,207,930,994,200,860,269,437,133,372,916,963,178,
191,089,806,600,883,897,630,770,531,632,794,253,174,359,889,095,754,497,508,
812,699,518,002,015,268,985,000,008,134,051,953,351,187,433,135,464,172,727,
362,569,785,490,182,376,306,909,983,481,497,927,255,286,607,168,154,650,792,
395,619,781,206,748,127,969,621,692,365,487,753,529,840,029,218,261,017,757,
484,308,645,073,229,321,782,852,907,126,621,830,622,183,004,767,712,531,987,
736,594,054,305,331,809,411,906,711,773,111,803,847,651,171,257,953,190,750,
864,017,686,328,960,327,890,336,928,606,483,765,823,961,702,627,756,987,436,
132,824,223,273,708,978,591,644,724,168,562,732,194,286,029,446,185,221,863,
588,677,961,100,399,191,329,758,112,911,032,910,623,762,012,161,493,721,416,
551,735,376,244,286,737,034,817,040,249,365,508,183,482,774,333,001,771,856,
861,636,127,107,970,410,948,043,037,591,311,975,209,399,505,262,688,574,769,
243,769,734,002,221,672,596,827,067,573,200,344,900,683,832,672,287,837,829,
192,027,388,002,212,759,594,335,675,885,594,454,525,357,869,204,728,823,880,
231,988,249,636,727,262,114,298,812,816,808,833,693,481,734,254,415,020,864,
723,477,008,119,033,740,523,622,526,814,253,878,103,650,638,065,097,689,977,
493,126,072,967,530,334,039,992,294,889,675,058,172,301,525,605,161,089,180,
069,904,118,235,481,870,605,513,480,966,986,388,506,582,077,294,098,475,994,
971,673,572,161,028,232,339,158,991,545,021,938,427,714,225,724,927,708,443,
681,703,747,359,859,043,229,668,626,921,211,310,436,127,510,015,056,524,409,
230,803,706,652,490,108,329,906,751,173,091,452,106,251,592,237,262,483,328,
816,001,315,380,726,628,326,999,436,999,802,664,546,971,729,597,034,420,014,
784,881,623,801,767,147,281,724,313,707,521,401,179,687,705,835,376,745,607,
615,995,512,016,281,560,829,870,696,068,825,636,419,113,485,555,315,934,270,
851,735,119,526,155,160,864,174,641,838,453,317,701,129,066,636,507,730,740,
520,945,394,892,811,639,733,714,631,703,924,812,135,439,074,846,188,370,089,
103,537,766,226,682,516,348,191,333,933,592,588,934,779,883,853,185,960,710,
591,009,475,670,138,195,856,664,132,800,220,631,272,364,479,355,443,804,145,
322,316,567,720,759,415,725,259,728,645,286,261,723,994,671,351,954,599,537,
397,483,808,673,519,104,331,504,601,078,764,590,620,864,715,231,044,908,800,
441,586,801,549,524,682,814,377,067,675,316,454,181,759,270,876,939,413,418,
838,691,920,616,329,937,914,153,274,040,870,629,589,730,950,139,851,209,518,
165,933,615,545,063,539,416,080,418,099,067,830,304,443,676,131,877,794,236,
086,300,859,871,286,082,370,947,732,240,822,099,977,507,988,042,426,334,122,
083,748,894,043,614,300,263,669,359,312,019,854,025,617,776,767,794,929,249,
652,576,476,450,429,624,916,016,861,283,265,041,729,023,267,608,390,522,854,
128,389,283,646,024,926,644,608,633,049,164,282,508,259,070,085,086,962,459,
471,837,898,635,426,305,210,950,632,686,234,712,256,224,537,964,068,730,323,
601,234,566,500,724,428,586,063,014,537,611,981,276,318,993,373,811,720,885,
335,531,878,971,577,917,309,053,516,937,314,925,381,926,959,443,194,969,309,
090,847,389,435,330,096,498,073,023,120,128,431,902,743,625,858,158,198,601,
544,054,462,228,861,085,951,924,823,373,544,329,587,130,668,940,217,256,835,
713,791,473,995,370,887,556,670,684,703,042,211,049,357,421,927,380,877,977,
264,876,460,867,579,023,928,209,893,980,715,098,479,092,539,854,970,412,566,
989,486,857,577,008,934,193,379,754,362,868,734,597,987,970,810,642,759,712,
357,312,056,161,018,631,340,757,686,315,284,258,859,717,140,377,968,645,403,
228,125,656,796,854,236,239,195,686,094,670,421,480,707,768,740,669,352,355,
119,185,654,140,743,060,503,829,911,382,373,685,701,155,364,265,409,812,478,
187,311,752,433,428,552,466,953,903,366,493,336,377,297,172,272,395,012,926,
123,615,944,081,574,827,706,471,855,878,143,241,537,533,665,364,636,270,741,
513,510,276,897,959,247,070,646,780,880,326,032,271,503,061,888,245,049,637,
799,036,447,597,369,688,847,921,840,653,280,762,539,398,750,027,974,363,767,
137,541,545,184,715,392,783,558,134,610,060,035,838,158,232,577,746,151,021,
863,489,242,202,677,440,708,901,954,403,903,451,594,458,105,969,589,231,690,
265,779,605,764,057,951,891,552,557,214,596,498,388,767,137,037,829,245,112,
470,934,942,138,150,980,861,274,683,055,523,873,036,814,184,212,786,316,319,
018,685,004,204,245,683,200,279,695,160,351,534,282,869,816,523,008,630,869,
379,093,237,709,020,874,381,878,988,008,476,895,876,539,982,271,758,512,390,
959,940,931,109,075,216,366,002,197,351,877,170,176,871,354,225,344,560,453,
100,378,003,158,346,543,742,040,097,592,735,354,620,142,327,052,386,771,047,
613,174,494,939,137,457,571,273,016,172,938,788,336,234,007,429,005,827,547,
617,259,380,310,091,322,700,409,745,575,219,277,724,745,192,284,138,538,618,
759,789,367,593,201,568,752,252,365,158,459,794,958,006,940,050,035,461,205,
263,728,360,539,060,379,991,771,243,212,615,952,548,309,035,110,987,023,942,
832,058,447,725,667,490,082,638,452,471,524,007,191,163,477,429,221,524,511,
338,402,705,612,445,588,067,303,498,592,243,675,339,302,151,856,510,986,472,
530,271,296,806,699,499,568,010,078,015,082,916,162,664,336,950,740,143,229,
284,162,888,745,177,641,348,010,426,718,781,110,401,426,012,306,714,021,130,
489,245,395,011,123,787,157,757,400,804,841,371,999,068,566,613,562,862,331,
082,638,742,485,803,420,965,731,381,212,168,707,858,592,750,563,973,869,367,
401,050,236,248,254,899,465,947,734,633,323,044,324,622,616,509,764,561,237,
941,436,342,322,373,853,711,897,030,621,139,499,532,160,908,954,266,495,243,
951,291,901,961,924,204,043,963,930,734,179,598,486,940,915,042,846,101,584,
092,923,718,174,513,225,422,832,780,923,868,643,436,074,914,708,056,457,614,
437,882,469,298,785,836,067,542,573,306,726,801,616,579,280,245,025,480,048,
202,247,609,610,728,353,027,247,163,105,488,770,852,851,071,190,692,552,517,
214,131,177,418,037,557,491,400,588,911,204,639,894,890,164,403,625,157,589,
769,436,111,210,029,352,053,627,779,601,129,893,593,284,221,563,985,991,410,
156,504,295,769,583,422,943,366,619,145,509,194,938,494,647,433,126,532,839,
528,133,011,143,556,235,506,480,771,049,095,297,733,543,624,915,536,020,454,
760,820,600,061,662,571,578,161,046,586,715,438,136,162,503,439,679,861,792,
978,988,131,623,886,851,955,969,316,513,884,489,322,446,112,338,509,682,658,
478,686,203,746,648,843,711,376,788,353,386,799,360,591,766,068,227,445,435,
322,759,360,391,058,262,397,043,944,541,164,553,257,632,292,983,210,912,062,
654,043,105,572,840,886,592,348,787,502,311,010,601,750,092,680,175,742,776,
952,250,927,189,655,364,433,041,658,946,509,780,344,134,578,132,712,253,391,
073,959,101,771,361,777,323,984,339,026,577,291,989,001,246,768,914,169,723,
267,833,567,682,608,898,078,710,417,186,216,259,321,780,816,954,538,804,296,
101,136,055,270,147,768,592,110,377,480,714,036,432,478,457,444,519,088,144,
484,165,011,595,285,548,853,945,992,281,562,728,841,656,136,787,509,480,708,
293,634,542,102,281,208,505,262,879,323,409,291,074,344,905,178,266,929,226,
681,737,221,198,462,846,309,954,178,003,167,169,879,319,011,296,445,602,885,
650,030,246,806,585,123,492,964,102,533,120,535,863,172,102,316,880,990,593,
499,469,409,029,170,403,637,551,268,547,711,508,817,688,306,091,639,052,360,
524,620,441,235,861,615,278,359,065,121,044,453,135,116,566,488,799,550,859,
863,415,967,003,016,548,373,954,330,345,126,476,355,961,103,832,629,268,759,
859,488,724,074,815,291,925,048,304,361,245,514,563,681,199,054,348,732,873,
434,404,038,488,374,634,973,711,559,727,198,290,628,480,135,424,649,539,334,
851,342,245,452,301,934,598,380,753,552,243,682,032,362,145,968,866,319,553,
756,083,227,325,336,730,615,448,224,668,484,813,818,701,607,585,474,909,904,
525,646,835,006,714,385,312,428,014,999,619,767,510,612,067,075,374,652,681,
939,087,988,227,708,607,771,783,417,851,480,381,696,159,245,459,473,660,470,
134,079,471,009,362,557,172,639,038,789,360,053,604,927,249,535,096,917,978,
496,207,123,993,676,832,196,409,600,280,976,770,847,504,683,784,746,710,103,
521,333,467,771,702,370,579,567,872,475,932,824,712,425,483,752,988,344,091,
191,217,373,526,706,246,202,037,572,983,273,823,690,577,150,872,178,420,166,
321,900,954,522,392,341,365,911,512,018,429,714,210,119,264,395,383,727,092,
600,512,317,328,977,197,561,855,075,198,562,603,522,621,263,387,480,514,545,
796,329,144,654,672,154,641,049,937,287,310,725,657,396,836,749,397,176,845,
851,841,418,517,950,204,504,040,199,756,751,888,511,631,224,267,951,040,669,
904,282,805,861,273,968,379,950,004,436,083,505,688,152,241,934,079,294,853,
707,684,904,042,018,005,156,790,351,868,083,179,399,188,761,278,735,897,049,
237,867,620,105,269,123,123,488,480,647,892,979,146,891,473,040,106,047,751,
937,464,018,502,433,640,425,231,078,405,780,131,486,737,829,866,785,887,275,
326,056,019,688,643,709,616,672,101,968,214,926,285,509,520,022,006,615,789,
069,576,568,383,614,843,869,662,030,902,202,310,061,914,799,109,770,316,980,
935,266,993,694,354,272,000,343,722,147,507,133,647,933,888,372,271,464,004,
136,456,999,944,159,026,933,892,985,270,025,491,072,780,690,343,606,891,329,
799,069,930,334,345,080,334,016,374,019,181,484,662,401,226,328,815,431,769,
553,942,830,804,517,464,621,127,869,595,952,356,447,485,522,167,006,903,872,
640,507,176,262,898,787,772,480,527,544,736,881,443,156,692,269,742,093,578,
433,029,000,499,602,076,546,530,821,418,201,354,680,045,234,458,063,187,056,
928,651,024,741,833,286,858,576,265,209,311,976,878,976,142,775,669,998,431,
740,701,805,016,276,346,208,633,984,557,923,192,889,365,099,891,108,804,830,
556,757,735,653,503,859,730,189,107,075,942,732,302,539,693,812,468,700,400,
108,117,041,556,389,640,028,317,053,287,008,593,477,663,452,195,875,530,822,
611,596,208,855,842,944,293,819,610,810,635,588,261,843,907,637,887,328,098,
123,678,892,678,193,990,398,444,782,256,296,111,440,599,011,454,670,154,219,
798,738,810,612,551,323,728,290,354,780,422,073,707,773,277,249,585,891,204,
033,325,289,912,666,049,990,417,121,856,826,822,620,078,771,378,904,621,367,
456,750,951,095,753,559,220,378,935,122,758,762,209,175,268,410,048,702,891,
039,941,864,418,262,015,200,950,915,196,664,969,729,465,111,402,577,056,435,
076,437,236,042,969,049,254,335,180,385,550,173,185,820,819,120,171,422,999,
597,851,300,098,879,755,245,203,123,759,977,953,324,330,272,623,639,910,826,
277,369,133,026,184,032,461,243,417,694,262,544,301,285,624,732,925,827,629,
760,962,067,785,482,763,313,405,924,680,710,155,079,962,125,334,361,154,272,
737,108,311,720,090,115,851,472,397,884,515,705,001,176,670,151,037,259,082,
028,284,514,745,521,915,061,064,964,403,002,785,485,535,550,396,783,083,601,
504,200,420,957,565,171,942,820,218,273,592,614,939,276,492,485,557,462,191,
912,633,137,943,022,184,854,086,118,083,388,887,207,499,282,900,078,876,419,
383,129,971,208,931,413,484,777,967,063,390,013,046,887,535,982,752,634,755,
715,081,294,679,073,505,503,585,144,958,028,029,632,016,954,130,238,373,745,
187,997,397,733,915,344,855,033,829,411,732,619,941,613,624,262,795,331,890,
987,053,008,328,508,258,616,247,807,967,170,743,041,144,881,352,557,919,222,
825,856,004,732,997,808,325,621,148,711,250,832,152,258,773,888,625,761,318,
949,811,797,390,500,296,583,793,866,317,413,810,151,581,454,094,682,448,084,
594,575,568,640,634,273,269,669,434,572,273,425,747,132,972,281,299,288,403,
754,173,259,013,020,197,967,130,218,330,079,122,319,431,522,208,593,329,212,
321,975,691,200,861,356,787,980,580,843,641,360,804,879,734,157,897,611,274,
703,350,931,674,022,375,524,163,271,375,267,358,651,441,450,293,385,995,875,
693,267,193,272,759,078,424,943,049,680,058,276,429,438,749,137,944,789,730,
244,892,155,458,838,039,683,107,398,645,611,862,678,332,447,505,166,150,941,
140,961,825,415,778,752,432,369,785,907,759,646,393,824,782,653,889,732,941,
260,855,276,860,438,895,180,944,526,468,100,093,519,518,724,973,095,060,594,
542,112,774,522,720,972,007,110,743,987,708,672,625,556,123,641,363,422,953,
184,206,644,372,298,847,546,592,092,654,932,982,836,637,985,522,978,600,558,
186,128,862,990,870,616,528,679,498,403,283,745,922,149,805,762,972,975,350,
966,831,044,025,681,152,209,632,864,648,032,275,765,176,102,371,951,733,229,
338,342,926,603,642,601,003,621,207,308,414,101,258,858,614,917,982,653,552,
406,410,890,173,067,920,693,062,619,999,333,611,286,514,249,046,841,136,661,
740,258,665,558,954,212,482,534,563,079,042,441,332,601,977,965,454,260,406,
220,607,877,303,920,226,640,850,416,707,742,960,713,097,509,761,632,105,531,
004,929,924,862,343,497,638,747,359,843,624,988,783,683,701,321,225,222,350,
570,128,735,113,161,159,028,040,067,067,326,234,849,306,188,510,273,084,193,
068,459,455,958,742,786,077,094,115,537,972,526,767,574,548,264,142,101,538,
090,338,819,155,483,590,347,286,745,567,364,747,619,392,022,944,788,798,756,
337,738,784,090,821,101,974,453,768,931,481,804,802,313,321,348,266,098,351,
148,326,620,656,575,751,984,665,480,897,475,884,462,945,470,065,091,655,093,
170,885,552,690,519,765,301,504,832,294,523,388,068,345,530,889,089,375,021,
205,509,462,532,606,464,205,191,654,064,140,024,349,056,687,127,464,293,942,
659,515,576,496,279,458,244,020,230,168,342,985,925,614,377,755,958,934,851,
335,229,260,459,081,387,303,846,070,609,938,332,278,481,727,457,957,253,902,
129,850,858,937,538,235,555,926,878,414,988,355,185,435,680,118,267,879,444,
224,296,055,558,689,885,816,433,741,787,569,218,415,524,083,358,334,911,815,
501,508,046,439,199,231,046,714,832,847,638,890,588,446,200,884,114,737,162,
145,870,273,565,342,885,817,066,709,180,271,072,854,870,514,933,866,834,667,
562,848,918,251,407,940,233,220,278,771,816,168,898,819,961,022,640,888,033,
115,735,503,814,496,761,256,939,901,071,531,817,277,121,512,381,167,834,766,
958,887,575,664,396,319,924,948,158,029,300,248,692,640,096,903,534,365,059,
798,222,271,890,606,089,808,440,185,842,467,404,851,446,743,946,427,211,539,
278,188,533,897,112,553,380,356,789,402,811,220,272,275,766,308,011,736,355,
628,303,142,604,205,315,687,165,825,248,733,952,216,916,597,650,990,247,048,
099,403,935,834,462,933,152,725,415,300,613,780,543,657,149,579,643,080,571,
414,246,180,877,403,953,164,933,417,688,713,834,662,401,147,127,700,541,816,
291,584,668,460,725,956,635,364,309,400,881,405,088,617,018,627,197,199,172,
151,107,071,777,791,120,853,464,602,172,329,854,134,241,697,433,185,303,482,
709,640,130,697,510,044,168,198,792,103,172,882,391,448,740,101,424,662,443,
356,191,937,083,671,155,989,835,485,593,281,630,226,669,635,115,321,214,912,
291,125,819,721,216,616,416,863,843,878,708,260,600,600,257,218,974,300,715,
371,353,971,787,197,259,060,096,258,032,750,724,168,687,097,948,751,810,917,
125,372,016,976,714,492,916,042,094,015,706,081,871,337,119,935,913,062,943,
081,619,834,483,774,278,305,278,907,342,860,445,705,344,271,003,032,564,802,
952,197,424,431,583,423,456,264,892,136,618,265,954,398,004,316,561,500,100,
481,301,239,304,687,585,080,365,413,982,731,184,363,749,254,107,184,585,812,
731,328,137,021,898,780,268,953,716,690,177,532,920,782,603,339,889,674,778,
287,453,722,471,426,328,588,767,093,761,419,769,765,039,270,841,563,783,558,
036,753,084,258,378,077,346,965,565,739,701,787,321,797,141,234,868,230,419,
076,566,637,290,370,451,997,125,416,575,617,499,388,717,002,237,871,018,643,
395,613,894,741,008,011,334,471,038,305,734,787,307,808,056,667,833,692,126,
951,022,334,134,505,113,388,898,955,801,486,479,347,241,168,509,659,111,488,
801,557,749,021,623,384,734,240,720,227,363,773,075,460,388,294,249,976,143,
503,235,897,288,208,094,420,826,451,408,847,284,674,497,070,900,888,268,470,
975,712,726,517,011,909,667,197,949,009,980,182,984,383,262,837,385,610,420,
055,175,183,695,997,809,174,270,989,619,505,799,607,353,774,059,637,802,501,
078,653,369,963,828,693,999,284,011,672,422,669,046,963,359,605,622,736,640,
660,409,852,875,737,340,219,995,370,407,582,356,139,636,189,554,496,997,954,
144,108,884,312,324,287,674,232,313,814,731,529,997,446,688,064,039,829,396,
323,591,075,700,116,537,643,626,535,418,761,925,226,757,216,994,425,804,474,
403,011,124,024,786,417,923,663,344,194,199,933,312,765,056,117,541,271,094,
871,965,591,600,271,353,736,212,331,940,351,586,858,427,479,968,280,511,297,
578,830,691,812,227,102,147,564,733,426,005,223,392,917,557,572,005,428,366,
450,032,600,601,100,356,624,405,545,199,863,546,004,324,290,948,882,243,841,
141,835,496,990,907,723,589,863,856,890,057,972,043,551,092,050,239,033,695,
673,531,116,987,471,279,762,921,963,836,368,634,173,035,427,514,257,626,402,
375,830,078,730,242,988,942,552,040,555,162,472,078,545,100,949,623,849,877,
460,811,760,705,922,559,737,440,895,277,958,293,620,412,183,860,336,015,198,
108,542,088,432,808,981,722,816,439,054,284,673,769,762,733,041,994,730,306,
084,288,908,644,185,515,908,154,699,245,408,998,386,929,248,136,107,631,293,
439,092,888,606,241,890,243,955,353,914,566,462,946,128,826,384,892,227,088,
244,999,833,465,472,267,695,371,658,317,027,495,628,943,864,590,619,007,648,
485,248,486,886,941,304,508,773,168,354,567,391,993,543,629,311,431,733,614,
383,374,071,936,474,305,706,345,080,569,612,537,537,596,119,826,308,784,654,
139,734,005,850,465,491,802,899,697,170,762,550,508,848,416,665,880,647,149,
538,643,878,091,171,885,856,687,675,717,431,085,972,974,618,773,491,680,883,
159,345,989,211,090,597,678,777,656,360,471,722,041,256,993,793,149,077,393,
373,929,071,498,261,436,386,247,533,288,680,756,679,464,833,325,282,781,994,
111,091,107,733,453,588,860,395,797,145,407,016,710,744,660,843,908,505,234,
380,209,147,602,978,218,520,589,700,459,363,276,565,219,813,270,017,828,341,
261,291,964,212,364,568,421,924,781,117,387,769,796,137,670,902,826,364,705,
772,596,250,139,963,973,188,042,169,043,723,378,074,882,513,219,741,634,674,
849,855,921,404,178,985,288,363,607,441,588,740,565,351,449,623,991,045,607,
880,555,564,157,335,150,560,430,317,118,263,992,298,775,999,394,782,743,776,
600,005,216,424,832,305,226,674,312,521,161,160,830,980,823,728,682,100,565,
421,082,317,172,144,708,499,679,925,077,145,216,815,874,933,015,000,318,128,
635,835,497,096,612,489,015,985,036,555,528,895,580,208,373,342,311,219,431,
317,133,657,196,995,876,381,811,842,781,785,759,332,848,054,714,112,255,668,
373,497,682,784,248,146,911,955,649,107,234,895,044,587,642,005,098,722,525,
423,930,461,120,445,645,065,930,252,371,649,884,599,571,596,997,245,222,746,
455,609,451,648,722,363,786,520,195,041,622,401,997,639,330,568,685,203,540,
429,638,138,131,530,348,461,626,623,742,114,664,890,249,908,626,005,090,887,
882,590,767,496,433,540,033,211,454,812,120,990,722,770,648,555,491,351,025,
758,493,286,877,863,459,779,212,336,585,313,769,699,610,588,116,104,026,145,
030,559,988,245,188,522,713,762,820,110,032,936,562,209,436,691,156,256,723,
368,686,067,997,846,727,513,646,063,208,401,595,437,747,409,902,357,878,949,
895,988,353,756,397,547,210,679,246,394,812,499,000,101,069,929,180,386,331,
743,840,196,828,955,139,631,285,243,499,506,262,715,692,988,718,964,282,026,
381,432,364,729,697,239,845,942,470,373,958,788,494,706,840,586,965,813,788,
541,857,270,543,846,360,535,071,644,222,367,125,761,862,006,008,628,588,867,
398,270,402,076,989,679,128,749,767,806,992,448,054,129,453,228,187,410,978,
393,218,554,507,344,193,577,922,948,578,554,235,712,205,339,695,382,143,746,
284,490,666,154,854,507,339,870,796,359,894,638,533,324,251,854,891,148,632,
989,313,436,244,427,227,272,883,521,001,150,887,223,661,092,630,348,186,068,
966,194,000,840,986,281,013,340,290,665,079,393,341,941,261,531,306,289,962,
070,186,646,762,626,423,541,922,936,630,369,665,397,470,199,227,696,654,679,
596,919,128,195,296,088,820,691,215,713,390,587,193,323,538,239,638,925,121,
762,317,768,179,683,193,837,099,315,441,460,924,573,772,364,818,373,226,406,
340,879,075,728,752,529,232,430,802,505,698,240,844,858,531,907,872,784,690,
957,499,226,395,749,857,505,624,097,858,672,549,414,987,913,399,818,731,954,
026,537,609,912,229,936,568,761,826,105,829,911,280,691,005,309,559,394,427,
796,307,203,891,836,208,056,382,091,187,181,290,120,313,411,667,743,745,465,
518,933,562,672,017,142,406,996,332,943,338,097,067,824,103,009,468,214,580,
945,709,562,510,962,232,540,126,774,744,872,572,656,702,853,984,509,630,852,
376,269,947,516,834,507,716,261,363,331,146,229,368,629,271,296,973,263,411,
313,962,559,542,351,163,630,012,866,046,613,527,694,756,518,185,939,985,739,
223,760,479,587,762,756,565,168,680,576,729,593,636,161,916,057,353,472,310,
386,740,285,159,327,992,312,155,628,327,921,377,481,190,943,156,284,481,774,
805,311,323,542,308,534,193,965,889,451,773,686,517,189,822,491,999,719,641,
255,771,193,416,433,786,367,483,160,277,397,672,674,741,365,302,849,948,185,
948,097,356,954,076,683,277,095,177,109,543,825,374,815,027,103,623,780,026,
147,583,864,893,958,681,791,209,757,139,627,508,021,323,531,591,636,956,960,
671,732,814,083,323,202,353,770,308,503,840,401,305,013,287,966,861,715,157,
167,816,328,885,182,071,053,667,588,487,123,348,707,818,730,531,448,047,377,
379,621,734,606,634,319,134,398,293,827,462,625,942,766,165,559,332,457,051,
882,179,276,153,693,108,307,331,579,913,806,104,843,199,558,998,729,689,280,
562,610,474,205,682,629,135,151,683,689,113,269,882,558,947,146,239,035,346,
525,732,000,623,006,622,523,998,234,705,967,807,353,156,341,482,249,888,514,
536,617,157,155,453,556,369,594,096,946,031,115,983,282,595,373,048,617,597,
252,141,060,723,546,054,844,215,434,101,770,542,168,680,749,406,541,709,586,
249,869,305,787,926,952,038,244,503,684,370,267,359,531,133,639,008,816,913,
553,632,717,578,130,467,213,775,759,349,139,689,653,352,478,778,920,007,576,
142,842,113,427,825,619,167,882,540,817,028,410,752,264,987,445,803,757,824,
855,788,330,995,569,652,244,156,139,330,191,008,051,785,910,278,971,917,659,
836,169,095,714,874,997,930,341,684,260,975,807,340,239,218,212,111,177,527,
907,511,885,172,649,668,310,089,681,859,790,641,526,461,677,074,440,707,965,
669,963,291,447,902,975,773,770,779,821,797,413,659,268,408,365,499,186,766,
579,131,706,879,482,895,593,914,662,340,477,427,778,740,103,439,692,851,825,
140,765,348,687,953,172,720,532,194,632,827,106,007,773,534,516,259,136,408,
814,825,163,788,437,901,481,396,618,999,981,025,604,291,932,311,841,585,051,
621,902,580,604,847,276,220,498,365,457,545,953,068,345,099,073,977,801,647,
708,808,193,887,971,565,261,872,300,672,152,469,710,344,985,843,507,932,041,
703,050,168,259,912,937,107,539,906,197,712,558,750,546,985,416,219,122,474,
930,245,765,859,497,735,613,114,267,684,024,477,343,055,327,187,657,771,194,
093,408,962,914,764,209,088,893,971,003,920,325,057,836,729,793,642,499,527,
945,901,176,642,450,239,471,789,871,311,760,061,278,060,022,439,710,996,651,
622,899,170,694,839,738,161,504,122,831,902,218,374,416,902,528,276,614,385,
583,502,290,892,493,045,194,934,172,539,511,186,024,503,570,402,071,488,311,
933,267,040,981,120,964,881,113,504,944,606,803,818,903,987,767,804,602,724,
303,096,685,789,311,450,780,814,868,348,935,739,320,147,191,362,876,284,582,
392,637,615,545,037,226,307,365,239,536,548,724,606,139,118,972,352,401,524,
065,149,497,398,965,670,312,140,584,235,842,822,616,154,086,881,808,417,566,
225,118,284,682,245,370,254,911,064,780,157,996,660,469,060,548,614,955,247,
711,905,354,053,256,819,415,031,148,112,608,369,936,809,350,627,168,318,761,
967,708,243,939,038,788,921,424,601,242,238,917,749,985,070,105,284,919,443,
686,753,155,191,584,322,411,124,034,942,508,468,022,965,370,101,323,715,656,
219,851,308,092,817,569,326,006,433,992,965,116,573,322,472,693,758,564,985,
724,865,402,962,020,860,480,887,282,716,355,786,890,048,787,201,200,930,591,
270,943,478,546,209,160,233,237,933,044,479,606,022,625,319,258,252,106,651,
870,322,255,519,080,659,516,927,492,118,130,550,601,508,168,955,253,947,993,
933,055,381,172,821,179,598,876,374,852,790,082,192,000,880,254,794,360,201,
431,188,788,930,025,037,428,568,458,652,468,569,897,444,795,741,546,407,160,
474,392,862,166,441,872,848,074,832,606,131,747,253,963,777,082,867,589,029,
000,789,937,362,928,738,666,307,295,608,500,684,688,856,778,532,365,400,308,
580,723,493,122,043,775,378,358,911,412,246,197,962,784,903,055,935,604,539,
374,874,883,757,061,578,807,617,053,212,612,948,415,947,326,806,844,239,006,
843,418,963,265,640,521,216,660,585,288,623,561,437,964,285,793,918,580,917,
307,518,302,193,021,420,805,634,623,134,451,909,335,538,510,009,767,048,615,
100,679,027,994,081,499,083,759,239,589,968,655,235,202,533,806,717,270,252,
492,583,143,095,430,483,534,979,705,361,766,359,234,152,006,669,862,825,226,
155,001,201,924,318,685,124,179,312,891,001,515,441,380,756,076,800,083,332,
262,571,409,029,653,606,579,823,281,417,685,521,418,831,968,982,665,467,202,
334,917,476,106,681,252,548,594,143,077,933,635,858,324,137,549,819,885,641,
455,346,031,715,669,724,228,325,928,276,100,181,218,778,353,447,197,052,314,
971,237,038,364,029,034,023,505,060,436,276,333,555,786,189,726,967,113,692,
234,420,311,980,365,708,780,852,649,449,494,429,116,514,493,100,636,914,193,
024,472,451,911,927,140,836,940,489,183,246,329,440,228,650,288,346,174,343,
202,732,510,635,745,398,113,905,270,870,532,372,417,805,155,200,597,218,929,
588,442,581,953,561,074,070,040,564,356,614,438,732,870,193,449,284,874,525,
723,714,192,092,639,973,564,440,736,018,193,313,998,594,451,082,773,019,336,
496,097,512,823,436,605,913,652,792,544,772,469,371,882,503,101,274,800,916,
322,772,889,450,543,382,875,167,518,620,489,093,112,257,906,047,768,834,296,
343,301,134,861,152,601,149,564,802,191,424,001,574,752,414,349,318,567,828,
721,682,503,807,490,202,409,251,798,044,233,326,091,447,999,371,749,111,086,
889,418,720,442,248,759,618,647,889,107,561,968,122,356,726,860,250,390,659,
916,172,644,884,560,285,111,448,686,401,309,304,970,923,185,406,524,856,955,
617,517,478,077,226,556,208,530,276,659,335,977,405,209,539,891,666,450,083,
556,376,134,067,443,898,847,126,467,664,727,489,268,629,062,026,854,188,742,
267,323,263,652,049,987,800,484,970,903,790,105,576,241,572,077,408,823,073,
454,394,031,458,792,065,630,006,943,457,551,336,368,659,374,059,158,457,773,
813,697,836,786,973,829,769,970,559,101,967,037,536,744,246,312,108,115,242,
839,564,573,472,371,978,028,995,406,779,580,447,494,140,707,772,164,209,455,
727,023,850,076,499,900,326,149,909,789,862,013,298,292,017,552,700,787,994,
472,132,308,988,362,094,676,460,648,346,944,332,377,542,255,492,747,234,477,
589,705,054,899,191,197,291,548,499,602,914,263,715,715,381,158,863,219,224,
689,319,857,577,839,300,041,642,328,359,807,138,471,093,216,216,192,451,868,
752,683,668,015,537,666,375,747,749,904,177,972,476,633,250,209,394,729,499,
649,371,675,095,561,065,397,072,056,131,939,896,146,069,650,133,739,473,795,
505,184,275,340,425,844,229,986,705,720,375,126,013,290,224,879,024,447,792,
498,907,116,964,254,526,405,966,295,866,608,578,390,188,342,807,362,200,621,
478,887,184,858,748,210,402,362,288,069,266,620,462,114,730,626,440,579,610,
396,046,704,348,701,378,113,542,374,747,663,396,861,491,854,975,172,523,038,
278,709,089,268,836,222,085,453,121,982,284,346,166,223,094,522,262,089,661,
991,440,877,599,779,298,012,494,237,219,183,634,737,700,789,773,453,557,084,
764,496,186,144,082,449,506,972,721,838,509,287,557,447,109,340,236,822,246,
471,159,826,899,990,662,594,055,359,911,186,473,719,253,655,212,666,488,227,
573,558,180,403,890,399,660,816,580,335,814,614,003,604,870,456,387,597,076,
837,206,180,349,811,608,001,789,159,570,704,902,318,107,072,664,281,774,459,
255,435,961,140,150,984,800,718,429,100,152,984,215,405,038,209,383,280,114,
556,102,005,312,438,642,834,520,813,743,478,508,447,380,285,133,530,049,989,
771,068,302,647,862,441,859,333,782,791,634,410,149,388,728,558,775,273,051,
825,300,301,613,142,059,407,835,627,819,434,430,132,109,987,650,764,889,973,
997,416,646,425,913,146,995,726,856,462,148,900,220,219,366,703,848,243,083,
183,163,486,715,580,378,851,400,898,645,205,060,197,039,951,782,540,963,851,
786,779,462,700,579,300,907,271,446,255,040,108,332,431,261,653,894,647,752,
898,835,674,126,295,877,241,376,768,369,259,656,994,493,924,795,228,207,313,
860,533,295,001,699,140,966,413,547,174,349,996,891,231,282,397,915,277,188,
206,111,305,567,484,901,190,476,646,993,798,672,573,939,485,537,129,659,607,
572,436,793,248,493,543,706,095,579,552,145,659,551,985,768,736,249,436,553,
168,494,599,102,806,274,683,501,225,966,823,416,608,349,302,384,279,571,335,
259,386,632,549,572,412,054,993,471,768,064,245,864,858,943,919,974,074,371,
558,243,623,161,234,407,143,460,820,232,626,847,948,454,797,951,617,909,822,
172,948,343,877,260,975,544,638,370,693,134,750,939,650,805,289,888,494,185,
445,850,586,451,153,437,890,639,088,374,171,218,797,782,059,305,501,691,978,
206,807,761,379,694,439,820,668,213,123,568,266,425,449,844,707,855,451,226,
336,612,661,903,200,722,501,037,365,631,341,813,254,736,139,881,152,149,253,
031,548,277,682,288,071,593,879,376,397,767,452,104,494,204,663,246,533,310,
991,067,075,590,804,929,104,512,357,574,855,434,948,110,476,469,881,076,042,
161,078,511,471,353,006,860,923,578,440,160,748,145,580,651,488,008,747,821,
704,324,897,103,000,257,013,180,634,723,619,962,280,423,318,403,263,413,305,
145,899,281,771,909,333,369,372,203,411,366,961,654,050,214,401,185,398,090,
240,318,493,332,199,123,235,822,477,120,207,695,073,471,182,564,535,258,141,
809,330,314,475,712,797,676,049,187,304,484,136,830,545,338,381,541,286,926,
127,812,715,731,145,121,017,533,991,160,269,142,951,237,413,784,376,180,879,
102,409,043,211,334,866,726,014,177,047,332,391,897,354,844,443,422,167,563,
605,772,699,955,928,874,527,983,065,847,429,143,230,351,466,272,673,074,759,
733,713,272,990,037,906,716,783,211,816,115,027,021,690,108,199,879,246,654,
775,973,524,484,639,198,484,541,191,988,792,468,372,800,236,980,547,939,931,
021,451,268,994,232,869,766,182,047,471,455,713,041,226,203,142,076,165,294,
796,129,116,466,756,251,513,658,065,351,938,878,884,052,318,681,866,776,300,
322,163,531,288,814,103,498,581,001,782,687,265,687,476,979,897,384,608,788,
153,558,992,580,161,874,812,194,254,234,936,757,472,555,584,139,785,923,795,
984,349,267,153,259,901,438,075,538,991,529,072,757,685,596,804,105,948,140,
725,072,360,263,264,149,731,151,318,355,495,669,867,221,595,119,814,302,062,
231,783,091,659,918,863,929,001,516,666,260,238,638,718,321,665,660,218,217,
928,365,867,635,651,268,008,527,271,314,952,531,201,652,566,469,580,000,481,
719,954,626,368,847,261,665,895,279,341,050,162,696,764,265,919,510,712,682,
686,234,057,320,266,675,235,511,887,914,149,327,207,327,333,343,126,743,621,
723,465,120,346,353,805,166,041,601,184,935,684,671,200,627,657,015,902,496,
610,396,269,853,855,887,591,404,079,218,308,660,921,020,157,957,672,807,311,
675,588,355,436,365,420,804,597,761,995,311,107,567,738,857,101,910,897,782,
620,968,361,045,667,712,317,191,647,496,874,280,783,252,913,957,466,084,079,
173,146,146,488,522,351,987,234,342,808,455,934,888,916,414,255,184,457,650,
855,264,440,347,212,965,616,417,529,823,342,108,589,109,817,339,343,405,474,
059,363,363,605,165,008,389,583,686,738,835,802,536,751,566,507,987,116,509,
884,994,266,613,748,061,013,843,029,773,493,041,328,899,512,603,406,850,853,
671,905,794,287,968,486,146,448,348,903,136,989,497,376,201,331,155,932,347,
830,593,076,777,260,305,313,551,062,923,587,119,894,024,166,399,919,070,315,
641,129,490,881,938,265,290,378,060,194,198,043,136,078,082,452,709,679,464,
480,695,287,556,866,747,968,191,151,344,250,669,789,387,110,017,915,053,435,
054,618,421,282,097,204,663,395,100,714,295,706,627,688,684,529,419,914,530,
843,046,857,769,479,402,604,542,526,108,248,178,857,237,051,187,733,527,646,
905,431,768,759,575,602,189,662,830,706,469,856,317,689,009,074,738,718,385,
578,369,573,942,220,652,766,496,192,587,003,032,269,633,848,447,147,978,009,
654,036,412,544,127,825,807,335,305,117,022,290,962,166,220,898,062,402,452,
743,112,370,917,788,677,311,438,724,781,876,109,963,979,387,785,190,708,173,
496,007,682,433,741,101,277,792,792,980,372,871,910,730,807,435,786,227,274,
479,349,663,946,827,966,347,152,434,825,391,913,218,587,887,080,740,465,396,
896,296,927,197,203,032,538,419,379,443,443,966,726,152,945,266,577,249,973,
260,943,952,152,545,679,936,928,885,490,789,285,742,343,878,546,045,569,310,
844,945,648,182,814,335,393,767,988,214,563,261,569,086,846,511,072,484,567,
275,006,229,952,577,929,060,732,704,281,189,400,595,009,100,714,075,738,647,
332,363,271,118,779,507,335,080,854,921,050,548,900,068,538,712,943,708,000,
534,744,506,454,942,624,845,705,839,886,083,309,117,404,938,624,054,190,786,
516,309,468,992,196,827,889,266,700,263,379,603,131,548,705,403,125,274,822,
790,926,451,940,906,387,686,539,853,120,065,808,882,931,155,104,721,963,408,
931,248,698,347,483,724,149,223,411,289,131,294,849,784,569,567,649,161,787,
438,079,410,429,243,255,273,027,182,540,320,456,327,928,964,287,578,054,246,
336,520,802,180,866,622,143,734,471,058,061,825,158,355,303,618,707,929,776,
385,186,946,125,441,123,881,064,017,277,597,374,990,372,597,969,696,351,418,
457,709,462,322,916,229,038,925,291,279,851,782,008,263,145,169,570,785,297,
762,923,875,138,339,656,712,457,289,494,287,994,439,627,436,615,147,956,516,
329,521,021,931,579,058,816,870,516,425,505,353,585,663,883,535,920,480,111,
222,264,432,392,105,617,098,628,164,991,592,919,216,937,514,573,995,206,488,
498,054,823,142,574,512,610,364,026,787,907,408,022,599,556,586,720,902,386,
069,747,193,032,815,067,903,929,185,501,996,954,768,447,175,343,285,381,401,
324,725,184,086,132,037,378,742,545,120,688,576,588,203,683,214,690,064,768,
641,431,083,380,441,653,637,863,419,846,344,054,568,354,345,080,889,903,167,
478,289,206,622,723,873,657,502,139,487,819,310,068,821,504,796,035,270,884,
697,318,855,328,901,225,874,430,942,760,829,894,656,769,116,334,149,949,559,
842,962,532,068,716,031,925,119,228,971,439,406,440,743,443,153,157,408,401,
576,275,509,271,143,552,164,991,884,290,465,173,482,179,748,029,154,375,043,
686,853,224,572,493,661,191,118,374,204,665,131,259,034,650,311,467,172,450,
349,604,183,286,160,349,854,322,668,387,008,846,983,166,258,741,064,092,488,
437,684,925,511,215,016,580,454,825,694,080,235,021,429,723,758,032,786,195,
771,894,457,842,002,611,270,714,924,694,207,811,512,145,650,131,511,928,861,
934,482,865,468,481,409,225,047,494,929,556,282,287,481,088,775,049,510,545,
204,471,776,358,678,575,975,579,017,068,922,162,434,524,591,370,656,685,659,
437,862,734,345,323,739,966,266,271,623,471,109,802,522,268,962,472,976,663,
617,366,699,582,508,681,867,916,742,899,103,354,873,720,668,256,760,152,657,
785,648,950,886,156,422,217,598,533,837,700,970,940,860,258,430,400,993,047,
819,990,277,786,254,407,846,235,621,337,373,897,554,147,074,302,584,392,233,
348,539,193,535,137,500,936,122,747,474,941,065,708,494,479,806,710,375,189,
835,470,207,216,947,835,478,221,350,243,326,141,418,664,678,655,157,476,557,
383,055,489,170,849,035,990,139,322,226,783,080,948,463,211,433,722,798,046,
694,689,650,965,004,085,320,643,076,777,441,972,942,573,459,790,727,060,101,
249,579,407,800,988,352,291,940,493,087,824,893,528,420,328,881,465,669,496,
899,835,715,969,828,595,449,423,022,056,949,506,459,618,650,368,524,801,839,
508,032,254,847,933,915,570,870,494,502,298,664,328,107,618,564,497,501,242,
787,639,727,476,387,306,351,642,083,239,708,533,782,476,915,762,087,401,178,
109,106,106,781,124,800,092,577,788,768,519,204,876,008,675,355,643,289,656,
337,954,932,104,051,888,361,740,539,580,714,914,984,457,695,651,614,260,184,
084,800,733,183,296,871,472,210,623,989,195,824,394,941,234,477,793,375,231,
544,924,979,821,178,678,354,444,216,260,493,528,497,552,649,186,455,470,891,
923,356,332,636,114,573,626,219,154,471,508,324,772,374,562,174,316,700,506,
472,553,081,339,756,955,993,491,115,567,891,104,139,300,059,904,882,977,844,
453,733,517,238,261,101,731,245,888,914,879,563,165,343,751,501,140,360,335,
648,761,047,135,071,328,020,537,101,201,866,183,400,218,867,034,398,430,388,
300,780,742,976,108,865,391,768,341,063,699,146,401,333,169,656,881,757,845,
774,148,531,074,461,520,475,960,674,131,221,776,450,874,419,507,057,974,667,
580,839,919,890,087,958,719,604,408,677,666,634,899,692,576,815,280,293,522,
727,334,126,027,924,755,702,217,406,067,206,078,843,799,719,125,254,089,685,
215,761,543,399,223,345,637,987,410,120,717,283,628,208,774,838,399,753,312,
193,341,665,782,813,064,842,622,523,137,969,293,436,846,265,559,532,130,897,
307,785,202,667,288,109,354,581,570,344,980,949,786,842,202,761,779,045,278,
545,020,850,509,622,257,490,062,291,627,177,103,302,546,677,779,589,499,927,
214,291,879,964,484,322,928,165,366,529,915,709,403,048,343,529,391,559,180,
077,600,740,240,992,727,276,584,099,211,337,466,153,019,996,414,656,664,227,
334,393,501,346,665,161,902,874,291,577,346,150,594,855,027,146,974,080,508,
098,935,756,505,171,397,636,296,871,195,735,879,047,796,353,267,617,451,734,
947,359,380,660,327,708,360,633,786,247,987,593,344,731,300,260,477,104,636,
113,560,908,323,636,058,105,082,751,728,893,267,505,120,184,220,049,622,681,
416,433,658,071,385,342,792,592,505,871,176,549,511,540,719,474,612,126,379,
784,591,752,076,622,200,716,767,165,199,474,251,849,992,249,782,474,832,272,
941,463,639,518,747,765,047,184,148,118,682,314,182,729,979,575,623,284,080,
946,667,455,634,543,248,968,680,686,160,271,990,605,235,965,703,221,582,197,
587,940,298,847,822,182,306,897,377,348,144,300,813,569,553,756,773,136,139,
969,256,522,780,579,564,794,511,942,036,730,299,381,925,220,382,975,986,663,
685,304,920,716,125,342,707,144,253,348,744,864,323,943,107,910,502,242,789,
483,082,016,187,404,774,319,758,100,511,284,499,350,346,583,078,717,221,126,
695,762,868,122,740,804,318,138,429,128,611,008,268,831,405,088,701,273,942,
359,269,648,808,048,264,815,420,440,119,640,288,035,007,325,971,936,410,817,
315,346,609,792,032,672,517,785,247,334,667,975,016,120,308,004,375,717,798,
494,572,083,313,300,165,784,587,657,831,776,095,799,967,583,909,017,674,520,
205,241,398,955,276,510,232,518,832,529,890,107,649,338,730,640,856,682,319,
234,856,956,624,699,306,944,327,978,308,437,126,066,881,536,945,685,157,872,
467,912,698,982,319,106,074,238,548,287,271,654,565,328,704,237,279,387,701,
585,368,086,276,637,739,972,983,087,799,243,578,951,096,326,665,743,197,416,
882,653,300,833,353,352,835,283,429,544,019,462,452,537,545,941,069,024,371,
271,436,552,094,264,365,423,463,805,365,342,798,521,058,217,067,727,766,663,
698,339,871,328,349,010,885,910,190,608,390,118,024,129,699,513,655,648,561,
539,810,783,756,231,262,573,993,946,364,118,420,225,709,816,330,900,601,842,
504,067,095,364,148,729,615,195,594,451,616,316,667,187,774,082,838,553,413,
106,810,424,954,767,607,119,193,959,701,520,491,096,018,768,497,786,241,583,
053,589,751,570,300,090,648,437,430,742,616,394,550,219,636,831,966,765,589,
915,708,142,048,992,844,847,717,689,069,834,690,925,302,684,893,361,904,857,
240,587,043,136,436,489,629,464,160,852,543,514,272,175,548,548,027,341,043,
287,876,083,027,178,792,047,052,559,428,692,650,667,559,656,596,262,663,660,
168,343,625,535,750,207,649,763,475,410,278,570,967,251,774,600,996,296,900,
197,127,158,925,452,398,009,971,940,229,617,122,509,129,967,274,029,861,396,
482,829,654,662,542,650,471,409,054,216,824,463,535,261,008,481,518,370,448,
495,523,865,902,821,781,670,780,388,175,707,186,289,487,831,425,170,018,663,
698,603,067,126,183,111,649,804,646,952,790,946,907,723,208,440,336,353,681,
887,478,706,068,052,170,060,416,012,609,843,545,614,736,246,691,361,249,466,
320,652,489,768,005,466,848,824,362,650,968,740,257,746,114,405,693,924,126,
490,753,116,748,992,568,970,964,191,819,534,143,503,452,880,161,967,981,812,
498,827,446,109,202,989,350,864,074,922,126,086,893,737,391,555,921,172,545,
169,958,164,634,207,108,206,247,318,294,356,894,233,756,307,307,656,817,151,
830,271,399,001,489,763,584,506,883,434,532,030,508,897,041,416,307,182,243,
885,270,704,989,680,882,204,490,837,814,275,678,056,008,752,779,814,658,711,
468,078,316,321,530,467,973,131,960,827,679,205,379,596,941,597,140,774,827,
361,497,715,494,185,938,289,719,793,848,970,902,936,279,916,403,300,911,268,
530,893,450,627,332,683,086,137,200,479,629,909,246,737,161,794,586,865,121,
259,268,874,173,506,788,789,271,381,347,307,589,857,530,866,426,314,720,917,
338,133,541,193,937,698,770,365,568,522,488,856,109,752,092,160,732,671,245,
817,955,004,206,274,573,528,261,095,363,591,582,852,997,126,271,667,601,211,
760,997,427,395,733,896,085,635,706,310,233,381,321,037,330,402,527,957,186,
182,850,523,004,427,211,547,002,746,598,299,945,922,204,489,082,187,719,991,
120,131,776,123,096,862,007,819,940,819,979,157,121,272,362,114,190,470,474,
735,837,699,700,339,007,766,660,709,889,552,560,646,528,281,614,933,949,907,
967,948,811,236,659,605,281,591,932,854,117,255,259,864,814,942,150,466,107,
170,133,682,170,197,876,036,714,685,969,896,517,947,138,260,955,074,988,793,
864,588,741,169,030,730,828,168,384,640,676,542,506,520,331,779,943,879,511,
817,385,360,147,477,254,119,967,424,306,120,032,957,449,190,040,654,755,497,
349,346,465,562,785,299,656,756,865,081,934,602,273,691,036,973,908,624,655,
491,229,226,090,636,694,719,789,916,864,747,878,867,122,379,148,158,161,814,
018,727,513,532,556,365,666,808,994,447,000,645,780,360,668,425,978,464,569,
761,589,164,059,243,926,862,293,966,341,457,700,173,147,954,330,853,149,425,
785,903,063,481,733,466,706,639,627,462,212,923,393,702,002,868,588,684,269,
561,894,435,355,505,100,191,936,896,183,363,875,254,424,282,546,712,482,901,
035,526,167,418,845,250,897,292,476,101,269,938,102,059,615,214,206,281,839,
655,489,397,577,243,608,567,172,708,537,515,300,939,590,807,690,268,920,255,
972,101,723,318,931,381,218,004,540,239,079,957,434,471,348,101,777,280,633,
879,733,746,668,437,180,224,877,713,835,836,398,814,877,511,933,941,517,447,
921,828,088,519,703,028,466,769,956,287,862,291,280,004,922,341,709,015,875,
247,327,896,265,227,219,212,344,550,589,777,567,005,230,505,139,106,205,578,
892,914,667,665,226,980,877,126,816,195,308,245,608,044,830,435,450,833,531,
558,871,475,743,664,781,952,419,980,508,195,436,859,346,216,540,604,201,013,
887,054,845,779,936,610,181,900,073,745,462,613,057,594,174,945,048,588,005,
410,100,002,232,546,618,465,827,978,755,608,447,543,750,095,483,628,395,971,
080,285,237,164,919,661,966,535,663,600,995,926,567,089,484,896,415,351,451,
677,374,214,943,774,608,864,979,343,305,911,868,856,027,981,329,882,914,743,
210,136,383,578,561,762,725,521,521,298,297,041,791,705,750,853,866,531,309,
989,515,561,179,032,015,182,646,924,735,955,198,273,501,523,944,758,592,694,
909,321,546,164,967,982,444,826,669,403,564,601,919,482,662,498,697,099,529,
664,463,897,092,939,763,428,594,557,625,175,670,972,245,330,094,852,580,092,
928,341,995,310,833,586,435,840,611,005,345,661,353,413,850,545,191,283,840,
456,705,017,009,110,816,621,215,313,182,405,341,636,706,422,870,386,184,782,
046,312,765,095,601,110,065,320,379,064,364,570,521,574,401,602,051,608,624,
361,958,344,339,825,470,477,115,333,163,596,442,247,864,977,785,654,802,287,
731,222,497,119,635,488,728,625,685,058,844,377,380,271,648,958,337,980,758,
263,440,393,103,380,661,125,255,369,761,409,613,306,584,052,456,565,238,651,
760,452,819,609,327,355,160,856,736,257,068,481,697,382,858,613,009,889,514,
119,139,173,267,085,988,897,566,686,245,660,701,859,097,970,405,370,007,167,
583,245,174,557,696,724,352,274,981,267,570,768,847,936,353,140,690,758,694,
333,130,673,083,000,065,030,056,121,620,540,201,526,896,527,810,751,291,764,
975,020,293,615,186,827,221,538,509,485,001,321,617,735,628,996,369,741,896,
349,357,345,792,069,256,688,066,032,177,236,298,779,919,472,365,410,099,523,
503,121,427,635,332,298,295,576,351,328,013,348,613,127,984,009,296,277,136,
638,962,226,906,874,175,420,111,195,911,852,093,425,692,211,283,630,193,065,
284,059,721,220,402,626,590,900,640,802,024,668,980,339,683,706,158,329,509,
906,048,902,672,932,917,580,168,390,351,573,529,523,228,896,847,519,760,614,
027,807,819,844,889,561,977,166,287,567,600,248,946,040,282,774,885,546,106,
923,161,834,002,636,907,821,495,346,874,307,810,933,575,191,429,867,531,921,
367,219,330,193,375,683,459,741,733,238,499,736,445,784,791,586,111,925,558,
336,894,576,816,676,096,284,641,616,609,402,645,949,911,130,959,024,891,375,
324,917,690,519,327,489,690,354,456,657,089,893,247,555,020,951,176,641,002,
533,157,918,213,943,980,618,366,998,152,566,104,735,123,467,561,240,092,668,
658,646,443,640,060,310,912,864,298,994,622,701,906,612,706,660,919,063,882,
857,520,713,899,409,926,537,412,653,917,828,469,626,434,518,817,810,767,191,
184,969,114,631,049,340,271,900,884,927,324,029,569,144,789,879,154,892,711,
342,731,364,107,445,061,243,274,338,133,918,685,839,495,259,363,170,537,953,
292,478,839,976,626,272,183,794,174,869,252,447,524,943,999,079,787,560,216,
657,577,781,525,263,638,218,000,097,758,641,455,302,980,932,325,899,311,798,
188,248,694,780,737,300,081,824,727,828,645,289,965,104,421,056,416,310,534,
628,009,917,467,582,625,549,323,272,050,549,508,760,835,738,146,686,302,413,
342,140,631,010,093,591,704,561,189,890,040,407,736,077,574,995,323,531,727,
253,015,130,999,454,823,629,332,913,728,662,493,867,760,367,432,173,024,209,
238,553,732,004,459,023,493,891,580,587,821,447,768,579,234,959,628,051,606,
178,108,054,950,838,917,162,594,902,286,236,382,216,513,359,469,280,494,421,
265,231,930,341,453,908,511,052,022,879,065,711,733,685,561,147,492,334,195,
375,660,291,834,340,994,000,097,996,494,677,257,221,305,394,913,628,198,064,
050,825,904,195,407,028,372,220,345,452,321,982,609,368,320,603,660,192,733,
721,174,209,572,786,076,013,466,468,150,122,679,938,778,182,310,945,124,354,
591,448,997,713,632,256,860,425,451,999,772,301,163,227,241,475,965,215,740,
642,847,811,858,269,260,542,048,808,540,529,199,628,756,707,669,061,450,929,
950,218,964,280,350,624,778,085,912,638,576,222,037,461,726,684,116,151,634,
302,116,053,897,162,095,055,330,607,068,462,721,182,772,102,753,797,828,783,
728,170,371,495,470,386,676,246,590,557,630,642,510,110,538,191,903,577,433,
823,939,772,998,133,297,515,901,972,585,258,688,896,032,402,635,970,297,113,
499,142,255,247,996,758,227,228,808,942,811,491,075,465,605,087,631,785,850,
449,490,624,369,058,037,549,766,503,740,575,270,888,279,385,371,087,537,084,
893,574,401,759,578,279,614,304,492,703,929,950,503,827,242,277,239,720,046,
545,560,536,426,829,457,855,025,858,465,390,074,507,444,687,585,090,302,687,
909,054,155,154,530,868,645,558,072,537,127,626,964,732,543,866,080,990,774,
398,072,641,482,716,764,961,127,891,434,804,944,482,472,783,276,260,181,508,
451,788,673,540,936,906,830,621,025,945,588,327,339,196,555,054,009,707,005,
120,834,006,769,593,011,912,851,697,103,203,537,582,127,554,505,090,352,234,
420,641,747,313,274,774,994,750,906,984,094,969,734,249,035,471,644,201,181,
436,726,361,571,459,962,374,245,281,051,813,969,863,712,614,969,765,516,032,
636,350,356,438,114,468,415,820,090,943,762,472,359,611,716,139,168,666,351,
788,089,061,757,226,791,090,775,451,383,276,396,027,895,586,366,131,196,711,
312,907,123,714,713,104,607,020,095,750,203,736,771,365,900,783,730,202,196,
473,015,072,892,658,180,702,926,615,257,782,629,441,413,295,015,565,652,768,
942,453,869,632,119,690,435,955,378,084,654,618,740,993,149,478,378,019,434,
702,356,759,975,583,242,871,690,173,997,694,992,633,293,951,884,903,531,184,
814,292,467,817,314,718,965,951,370,464,447,951,590,169,424,036,282,321,553,
186,406,535,110,225,741,771,686,011,432,112,405,178,836,172,538,187,739,787,
875,588,422,221,184,934,372,389,993,080,480,399,215,143,902,485,427,601,656,
843,671,999,100,953,595,566,427,597,297,153,642,194,888,234,201,172,863,142,
990,030,193,931,339,979,380,091,436,624,632,641,322,681,000,296,810,852,016,
238,458,142,953,714,767,700,825,427,778,999,335,110,153,124,885,607,846,833,
240,330,272,802,179,861,309,010,731,773,810,599,707,278,539,813,456,837,564,
247,413,170,182,893,698,759,581,856,036,638,403,731,504,681,065,015,467,135,
169,557,958,318,868,770,491,658,383,717,681,010,690,112,027,310,275,160,070,
117,639,680,244,220,160,760,338,403,385,350,863,579,060,422,873,718,984,578,
170,770,662,550,902,545,521,650,671,902,197,226,353,655,949,684,058,672,542,
670,380,571,622,622,952,675,385,012,163,367,072,437,286,051,834,464,327,188,
490,679,282,091,371,313,937,008,186,315,659,234,422,359,400,305,964,435,675,
183,053,458,410,928,411,946,453,640,518,910,326,397,781,281,705,966,500,745,
216,092,617,012,006,381,435,390,233,844,180,969,888,149,135,327,605,276,623,
139,267,243,453,843,199,369,323,351,455,333,344,219,654,127,115,056,983,242,
194,772,290,375,142,213,368,077,776,493,511,390,415,567,831,312,714,371,885,
035,064,519,780,585,101,139,042,213,793,415,927,748,590,128,743,457,196,164,
292,303,821,102,027,046,821,636,511,655,741,030,526,213,406,507,153,205,340,
337,883,451,616,446,632,711,787,083,199,038,377,995,126,226,444,869,072,526,
503,317,390,423,515,348,761,220,212,370,354,859,090,566,295,182,129,048,292,
636,426,112,850,193,904,979,682,440,095,516,550,507,950,311,736,811,147,635,
349,586,083,788,956,745,259,344,802,716,483,406,636,369,608,102,939,573,218,
805,656,743,713,962,263,489,190,929,465,975,313,172,187,039,118,941,570,372,
425,201,190,863,561,339,692,317,050,983,459,968,058,490,427,611,589,977,362,
393,836,688,333,965,404,569,987,953,630,452,285,309,521,057,257,831,296,880,
666,395,738,106,727,959,682,783,773,547,081,437,927,451,133,683,523,028,908,
924,624,125,500,566,868,763,841,238,999,456,441,325,213,074,983,927,263,118,
030,115,218,584,707,639,217,585,648,582,122,844,087,493,399,624,278,128,051,
286,487,992,915,333,630,136,391,078,142,255,748,823,099,985,267,215,499,424,
522,573,723,149,853,844,604,454,627,220,486,029,565,563,709,440,466,461,436,
612,815,594,584,738,515,533,037,823,797,665,576,396,522,267,946,820,733,797,
413,735,597,556,132,434,444,279,186,723,620,724,837,867,802,532,598,549,725,
881,387,616,525,998,684,610,364,440,091,702,197,220,908,024,564,650,600,143,
288,291,035,187,013,138,552,191,260,864,980,211,944,061,626,543,855,844,592,
664,027,789,016,675,558,545,420,064,043,267,703,755,449,536,474,728,602,452,
513,580,980,261,939,136,834,595,623,154,805,478,037,800,436,911,881,571,976,
200,317,883,309,195,646,074,048,881,050,542,844,963,688,500,615,600,532,314,
322,610,086,307,916,593,708,327,848,622,762,966,764,149,635,944,721,107,105,
183,331,356,554,545,434,082,943,070,273,232,472,502,321,596,431,184,799,640,
529,055,530,385,756,722,257,088,329,162,032,579,014,605,665,588,551,603,630,
522,827,778,276,336,030,212,971,737,692,380,876,309,519,099,027,131,259,378,
308,106,091,288,140,150,583,669,984,022,076,265,108,287,471,044,700,122,940,
718,691,255,357,468,358,280,945,605,621,680,012,124,820,429,692,507,112,204,
272,169,420,488,361,821,446,487,374,714,259,310,520,099,397,543,379,350,338,
185,927,147,235,563,540,166,405,356,849,208,907,472,633,684,041,002,258,283,
404,736,265,791,615,410,585,678,221,616,055,308,732,694,747,517,349,895,678,
247,320,669,867,994,534,343,488,023,357,351,234,324,079,022,355,806,537,203,
343,959,876,489,101,841,932,406,087,638,884,918,602,340,037,728,431,011,208,
522,027,595,029,888,247,292,813,870,185,905,213,893,186,108,974,563,484,149,
578,493,915,274,117,442,287,968,639,520,112,531,785,882,678,622,380,284,093,
845,844,368,817,799,839,044,526,774,491,039,438,327,690,576,830,272,454,831,
778,476,788,737,298,426,584,407,139,356,430,126,873,618,406,011,258,104,683,
295,448,332,394,196,227,530,108,660,864,721,130,758,311,673,935,262,007,270,
446,858,311,661,608,224,306,676,626,860,117,286,751,211,000,964,088,977,738,
702,335,866,572,174,305,738,442,761,144,692,276,189,161,586,219,521,326,515,
642,762,710,121,204,572,878,017,338,698,847,695,329,243,505,704,338,131,793,
619,999,782,291,545,184,596,325,984,321,157,006,956,139,764,644,293,347,332,
257,437,063,287,178,171,757,390,047,336,842,365,379,838,456,938,409,918,547,
481,671,361,756,768,307,749,632,577,611,257,632,584,136,402,407,145,265,014,
689,928,390,706,592,055,276,303,452,878,804,333,850,554,296,875,473,765,542,
475,537,980,889,042,575,991,472,132,019,786,318,218,293,637,543,839,868,939,
371,361,986,167,638,802,858,360,555,594,674,176,047,748,605,083,275,831,935,
975,599,023,136,174,191,478,020,804,552,607,430,144,947,533,221,080,620,797,
754,278,264,482,119,701,331,696,248,878,363,183,856,384,147,304,398,618,079,
051,767,402,711,310,436,937,600,941,443,295,390,154,398,793,284,559,539,662,
307,566,085,118,880,073,165,943,717,075,230,900,259,426,948,440,522,278,128,
360,421,056,373,878,470,259,194,012,242,830,479,604,447,105,196,728,979,616,
572,236,441,555,897,750,256,090,630,077,430,187,335,369,467,670,711,208,578,
859,228,597,398,179,150,089,932,405,259,369,966,965,488,688,792,132,789,093,
694,475,228,947,573,306,975,078,703,271,019,344,721,240,599,940,830,288,150,
593,592,324,428,331,180,698,807,502,806,785,287,282,542,530,465,269,952,916,
232,522,902,331,368,759,240,503,800,629,806,303,002,676,786,220,541,208,783,
359,677,413,625,254,328,698,431,332,429,873,991,463,996,704,652,496,441,927,
004,880,672,224,441,679,653,554,118,966,300,873,347,318,553,116,120,425,305,
704,595,822,004,169,026,949,330,166,374,828,330,395,633,620,980,413,537,455,
844,237,889,318,345,060,961,082,705,845,551,166,488,178,742,125,137,856,995,
380,304,629,670,073,843,688,847,772,142,653,316,823,959,197,846,065,342,780,
835,233,359,016,667,585,597,240,058,347,706,908,562,214,450,061,451,860,998,
326,891,592,985,892,156,359,047,532,794,821,869,949,809,502,780,238,155,962,
747,926,475,335,507,372,790,153,686,253,125,422,665,547,216,028,531,155,721,
040,470,429,119,893,182,732,641,591,403,778,634,559,892,775,644,587,691,928,
359,557,255,442,613,668,336,758,243,299,275,580,235,309,882,965,686,767,989,
504,059,451,457,061,825,247,494,900,935,288,154,399,684,710,477,580,527,744,
955,220,133,156,501,536,600,206,253,688,696,958,022,401,129,563,016,158,000,
653,235,396,666,410,339,542,814,033,855,767,587,685,304,405,591,784,542,261,
382,789,986,192,565,329,537,993,203,553,513,175,039,479,896,170,352,605,855,
077,039,568,484,397,529,993,084,898,290,516,516,261,065,822,782,305,391,791,
018,908,322,999,237,183,155,650,389,800,881,493,490,721,514,464,743,087,666,
247,919,544,136,641,994,272,348,617,419,941,667,979,638,600,626,340,841,977,
126,407,179,250,227,732,802,618,584,154,641,294,139,522,885,951,455,236,884,
579,338,614,748,952,320,059,000,055,951,571,638,552,235,102,887,565,965,937,
974,278,477,969,262,444,056,359,962,123,435,934,626,141,616,293,079,396,845,
967,087,623,479,297,601,764,339,841,994,596,975,474,657,613,324,653,147,388,
651,009,185,502,924,309,994,779,386,265,935,529,554,960,022,893,846,893,634,
211,020,195,429,598,194,445,523,543,709,867,516,267,375,442,491,776,918,337,
169,629,157,271,781,986,519,849,010,823,686,684,389,022,989,946,288,600,618,
528,895,673,104,869,503,655,963,726,383,517,138,552,976,501,542,812,095,342,
498,052,503,829,851,931,713,770,900,758,266,615,220,764,108,296,414,655,723,
236,712,003,800,319,344,508,127,429,227,247,572,708,157,649,182,421,554,597,
852,766,173,199,538,481,146,781,031,314,122,317,054,250,525,134,558,924,547,
150,432,327,586,231,520,081,429,919,597,228,819,195,101,590,097,032,703,268,
142,708,160,819,946,342,959,317,873,717,113,525,076,777,902,405,218,948,849,
109,618,047,872,033,288,882,383,340,288,909,197,837,815,472,206,239,810,749,
064,301,452,110,107,022,478,400,035,029,290,441,707,306,310,611,449,442,846,
115,612,578,577,483,208,363,274,262,952,883,561,473,146,825,406,042,158,198,
965,109,045,750,823,051,841,306,567,100,907,869,440,909,469,684,634,077,833,
415,222,287,100,804,447,090,317,800,021,329,281,407,353,545,673,242,751,904,
839,519,642,529,348,697,301,630,087,842,614,635,562,482,842,926,303,786,103,
987,308,853,003,725,329,669,018,532,719,042,584,278,082,516,533,897,394,474,
423,929,990,419,472,737,147,710,150,498,155,606,078,090,733,983,464,967,920,
606,950,401,862,478,588,326,763,636,009,344,466,268,289,171,441,764,302,420,
355,128,330,557,932,503,249,256,255,630,140,735,345,651,128,399,262,392,633,
690,328,497,381,342,506,487,564,258,675,320,716,942,711,324,223,200,352,217,
100,763,689,003,563,931,328,473,945,736,635,752,449,967,273,253,858,800,716,
746,261,762,685,758,854,687,856,666,283,068,754,349,450,627,811,791,560,007,
989,329,914,210,682,743,073,357,040,818,362,357,072,719,234,271,621,625,038,
023,172,958,096,259,403,741,470,316,534,671,386,988,624,628,648,199,315,356,
927,713,844,831,029,155,039,419,555,449,010,036,348,689,807,746,095,093,976,
616,423,139,086,959,092,663,965,495,249,730,986,469,670,925,117,815,235,221,
542,456,863,101,235,297,373,833,651,397,747,756,022,356,433,400,347,531,411,
371,787,057,557,842,977,028,292,804,788,410,336,833,462,387,403,304,154,250,
337,624,252,367,343,540,558,374,766,700,799,725,512,389,817,239,942,649,419,
894,794,419,214,534,147,663,728,965,145,315,629,471,676,416,425,459,903,799,
857,779,693,993,355,509,474,361,388,828,506,411,172,769,257,634,493,956,497,
877,074,962,000,230,404,459,771,000,563,580,950,895,327,320,163,243,726,644,
169,839,756,932,162,144,417,435,629,110,529,036,414,336,828,654,903,234,238,
523,418,967,906,310,700,354,152,885,696,380,176,859,738,270,228,710,703,471,
172,329,796,800,432,933,270,156,711,493,767,651,272,641,750,970,146,091,611,
285,607,951,316,341,277,191,491,314,678,019,116,171,131,598,891,431,823,628,
877,422,497,259,225,077,086,873,283,488,808,329,756,743,576,967,285,496,738,
837,923,814,845,053,107,320,260,181,207,684,451,694,048,238,099,451,250,116,
056,730,910,686,252,731,616,801,340,395,309,017,961,316,388,103,339,703,065,
444,284,810,385,300,070,280,683,699,349,649,671,564,421,027,188,816,848,871,
879,194,733,364,429,353,074,311,155,839,278,384,828,909,545,106,943,082,809,
010,350,821,953,532,214,477,293,865,130,150,959,114,015,367,539,229,659,576,
523,014,086,072,631,238,629,716,288,609,242,378,489,956,166,906,153,975,978,
523,405,650,125,991,050,130,442,665,414,764,564,854,446,503,565,032,334,497,
749,153,279,825,665,279,840,619,097,668,264,030,789,295,481,498,924,035,628,
532,267,553,078,856,378,554,796,026,432,097,594,803,641,959,450,690,404,727,
880,828,015,615,035,775,651,625,568,398,092,176,028,770,865,404,359,366,534,
017,896,963,939,676,042,384,451,019,053,191,549,403,518,695,712,847,767,176,
339,068,329,751,547,000,608,105,135,319,367,774,588,032,922,490,514,450,164,
633,989,393,891,637,338,968,200,661,062,060,444,121,302,706,741,553,422,531,
707,249,361,614,914,915,593,001,426,346,207,701,708,827,224,059,317,828,577,
022,599,875,173,393,923,750,550,966,209,890,293,790,012,179,149,648,145,949,
732,604,224,096,055,079,697,725,192,472,530,280,587,126,846,679,271,628,775,
262,250,712,169,247,834,805,932,593,869,185,261,581,010,993,440,119,875,062,
783,677,835,386,440,222,422,356,860,961,089,935,693,172,574,398,201,048,830,
709,341,698,705,527,952,202,057,680,780,362,784,192,236,495,758,302,564,058,
592,008,448,329,566,139,639,203,642,111,375,800,724,958,980,681,171,186,558,
343,067,790,558,947,192,488,630,293,027,164,516,501,279,850,506,519,701,297,
956,186,805,297,246,041,342,695,202,839,245,194,451,919,402,695,392,971,008,
831,350,567,653,432,285,114,902,107,866,892,742,437,599,906,036,636,934,051,
664,282,862,025,992,226,355,075,227,239,787,074,444,766,991,743,225,786,360,
488,857,422,509,145,568,761,671,282,878,308,765,660,377,209,620,964,944,758,
908,658,775,739,058,039,197,908,494,189,102,364,287,899,305,879,627,092,232,
659,990,726,499,471,783,143,001,308,732,244,578,919,502,892,107,388,118,693,
900,240,662,233,580,009,100,174,239,716,757,347,561,990,638,291,128,314,064,
677,861,987,959,121,724,190,462,554,634,430,634,364,615,549,356,150,839,756,
698,629,245,419,777,481,532,684,603,442,141,082,277,210,172,639,891,995,772,
053,286,814,125,690,830,842,291,415,016,710,042,903,826,429,032,027,056,286,
462,996,048,569,637,165,127,500,336,679,057,854,425,115,265,830,356,247,097,
678,043,812,969,225,083,469,433,380,649,471,339,799,673,725,788,696,531,850,
015,557,219,073,788,160,790,139,071,607,873,444,046,062,452,575,322,045,877,
616,370,943,346,141,783,606,605,181,016,333,315,155,761,277,676,236,311,941,
581,212,630,233,993,983,170,752,892,116,848,193,299,385,394,042,867,267,155,
594,459,186,513,968,827,831,220,997,547,461,289,836,699,112,531,859,159,807,
114,879,599,845,362,195,688,788,043,630,940,129,468,119,403,811,508,311,587,
353,687,262,287,379,675,905,129,055,404,981,820,804,292,574,864,847,920,894,
371,153,677,195,032,201,743,935,988,209,881,264,723,807,699,308,462,805,608,
529,884,828,308,309,409,896,113,937,756,193,400,174,432,797,694,300,294,494,
652,969,568,175,339,127,803,578,963,671,163,664,959,841,219,468,904,374,538,
459,254,911,311,399,870,548,332,204,801,089,163,794,134,431,735,792,821,744,
497,409,116,705,662,523,739,071,876,318,145,448,057,976,806,062,149,155,936,
884,665,233,545,740,135,300,568,880,300,902,824,326,694,293,475,030,106,232,
300,130,420,793,398,609,828,010,319,243,103,497,472,514,393,908,988,858,949,
853,164,061,734,647,593,015,456,026,873,726,958,862,788,632,298,924,883,206,
244,337,067,527,347,781,480,224,696,082,409,220,204,688,685,654,295,474,095,
761,000,796,587,010,245,941,174,593,846,437,362,941,466,523,035,365,385,761,
932,399,426,753,931,432,544,146,784,325,000,647,154,209,564,323,422,372,059,
988,931,425,514,804,910,243,836,724,609,313,754,694,356,322,253,440,243,435,
743,199,941,891,940,950,142,236,759,909,052,537,779,266,505,645,212,642,678,
920,572,187,758,794,704,850,829,436,001,683,184,463,510,140,683,638,012,941,
529,224,073,330,787,509,496,819,401,941,958,878,928,148,462,371,308,326,814,
785,577,613,423,835,651,011,347,948,009,893,913,400,570,222,485,098,504,208,
794,727,066,048,461,566,960,783,292,410,334,958,453,111,098,331,023,165,198,
002,530,193,947,601,653,953,450,682,610,486,893,601,734,602,320,019,105,810,
219,915,387,173,535,337,371,800,182,737,236,506,274,059,203,491,565,369,746,
113,258,001,665,902,029,433,401,275,383,813,358,616,418,515,484,819,814,877,
577,673,088,969,352,350,617,128,298,417,134,958,859,219,996,017,342,330,085,
104,707,643,881,341,407,049,503,580,725,365,568,309,612,111,391,143,461,154,
524,140,198,247,438,689,626,387,328,785,524,863,691,837,076,975,668,935,686,
351,695,296,835,635,737,608,590,521,136,216,524,546,493,368,821,767,805,021,
073,247,394,182,182,733,074,881,167,136,632,710,326,620,684,508,716,721,006,
705,404,545,275,565,927,196,541,209,458,892,546,592,781,828,534,748,230,208,
179,518,796,053,740,979,796,286,580,703,315,985,375,822,585,598,278,140,001,
133,277,517,310,593,848,853,482,567,688,518,127,216,761,543,428,968,306,910,
934,348,810,674,418,473,711,500,756,533,395,913,514,618,974,706,795,122,199,
036,893,505,340,736,372,206,830,192,489,665,902,029,120,926,769,490,357,556,
445,590,618,765,796,225,178,250,154,700,858,675,399,796,314,580,011,445,229,
537,764,491,483,593,295,624,946,781,480,722,445,948,908,092,336,156,531,434,
425,117,768,180,802,260,733,671,466,329,045,159,716,649,908,730,786,165,803,
135,109,719,766,317,301,381,014,341,600,028,393,261,974,052,555,034,821,296,
046,106,790,097,053,698,009,205,794,575,702,447,770,810,045,055,639,582,204,
771,097,995,636,539,514,109,343,887,190,679,164,696,255,271,584,511,433,752,
852,162,628,208,869,127,271,163,491,503,156,578,306,160,813,995,377,731,627,
585,232,789,291,856,447,218,106,380,124,094,553,278,666,046,611,654,946,291,
451,486,624,789,511,041,355,024,358,682,116,945,675,059,862,389,596,804,509,
001,751,706,252,752,391,257,450,799,503,459,239,578,690,205,112,539,751,226,
398,338,622,150,164,613,986,465,523,418,795,048,352,658,086,018,826,615,452,
136,999,552,247,806,118,629,195,511,725,554,227,291,385,446,657,311,140,363,
687,437,123,287,624,691,333,149,890,530,687,655,427,114,402,883,377,871,142,
238,095,660,940,421,833,826,969,288,443,632,175,668,207,057,676,818,225,278,
621,169,294,786,184,923,337,827,363,093,802,264,035,860,980,504,604,182,567,
052,982,471,929,987,688,344,942,907,389,482,172,190,519,371,336,897,370,732,
837,691,891,780,654,858,049,498,291,099,030,355,913,971,706,000,666,646,527,
203,788,425,711,357,344,854,483,512,231,265,966,932,240,579,682,643,795,996,
365,078,506,313,191,727,477,971,044,613,161,445,941,596,396,914,380,492,625,
950,048,653,462,302,427,160,576,735,338,767,735,123,708,767,315,818,913,387,
711,473,542,705,330,355,552,467,300,471,028,175,404,999,137,581,526,150,566,
376,639,815,651,522,262,604,664,980,143,930,439,319,961,913,927,148,472,927,
680,735,925,973,216,710,163,731,862,703,006,815,244,887,250,243,968,682,822,
066,763,368,100,135,030,663,568,895,867,630,029,045,542,106,512,022,645,443,
085,018,738,399,934,225,427,555,442,184,402,599,022,714,151,694,174,242,317,
038,409,170,820,559,002,479,909,201,689,053,019,258,622,189,450,399,117,485,
890,708,323,378,734,751,995,088,999,675,374,174,264,693,963,348,476,147,142,
782,004,264,639,865,471,790,550,542,247,854,344,447,326,574,813,783,813,386,
237,780,874,624,032,900,269,955,830,562,595,578,399,900,173,341,959,103,199,
965,623,395,882,190,112,591,229,401,314,339,740,752,483,825,250,463,242,671,
837,189,698,030,238,438,372,882,969,084,486,577,094,127,772,302,095,891,444,
945,095,195,793,119,110,280,974,910,451,323,779,538,909,795,010,339,470,059,
893,732,962,449,552,069,650,491,272,078,959,383,852,927,024,538,397,536,601,
689,065,383,726,488,472,530,806,695,487,070,869,526,976,985,444,471,183,985,
771,401,739,614,335,194,294,408,251,124,463,953,392,193,477,577,383,762,233,
375,163,990,038,016,971,541,938,658,954,890,332,450,913,749,253,944,254,360,
602,500,049,921,410,142,569,849,197,559,385,006,433,064,345,966,142,389,274,
866,382,626,953,204,871,518,872,408,153,573,707,530,237,431,107,065,706,772,
486,855,707,068,921,422,244,112,402,221,239,454,422,640,693,402,468,579,485,
360,242,039,880,377,231,938,124,104,265,472,880,520,435,254,828,917,253,830,
341,954,557,064,564,458,327,400,487,229,290,667,082,565,465,104,615,008,721,
552,377,831,769,588,473,704,241,453,935,096,800,145,565,782,294,981,005,411,
715,035,473,529,242,874,746,759,329,136,226,798,094,187,568,412,564,460,300,
376,337,647,564,519,344,347,152,778,730,175,552,126,031,487,022,388,430,489,
640,849,464,446,656,854,172,991,840,519,279,659,017,003,875,482,850,180,454,
202,364,385,673,234,968,980,579,049,874,409,529,354,733,175,606,518,264,778,
613,433,225,438,585,950,351,836,388,143,414,650,898,579,959,199,588,458,134,
512,870,182,756,892,823,608,690,242,263,801,774,761,715,561,682,582,575,326,
243,624,202,381,352,506,928,351,142,466,243,364,250,305,763,340,122,560,518,
919,834,220,743,959,960,038,519,409,623,379,540,500,229,675,869,734,904,513,
743,746,958,538,878,361,957,743,675,620,383,132,645,500,442,579,545,847,747,
013,336,815,637,840,005,146,850,487,588,993,383,669,556,954,979,737,013,578,
525,046,279,658,388,256,076,429,981,125,649,550,622,869,008,642,306,010,670,
520,353,309,606,544,998,015,946,810,659,850,925,940,576,095,822,257,143,053,
441,225,439,830,373,547,260,096,005,082,587,458,125,963,045,968,821,967,481,
347,295,877,277,515,766,114,308,476,236,018,652,253,562,662,158,780,746,269,
472,441,005,289,036,425,283,333,554,709,069,594,607,321,620,724,713,970,868,
780,850,890,226,759,312,198,769,443,062,342,750,315,139,757,679,389,042,873,
869,766,313,966,745,169,079,056,625,308,900,219,380,869,557,970,622,138,081,
914,344,392,165,537,524,984,499,902,756,075,016,680,515,881,277,351,773,645,
873,829,622,738,025,332,153,205,948,066,568,770,884,125,270,085,008,986,738,
776,545,651,440,380,444,797,721,086,211,614,242,313,982,224,863,791,957,657,
418,461,733,973,304,564,219,910,361,771,295,870,170,085,613,608,662,136,602,
989,866,702,874,421,056,878,368,152,610,330,853,568,758,265,626,903,109,726,
904,611,166,556,927,493,730,632,868,090,829,395,139,788,916,703,490,095,494,
625,200,620,154,849,670,835,231,124,442,316,258,263,325,802,245,501,515,561,
653,099,308,591,702,788,842,583,630,133,839,799,698,547,465,780,401,190,679,
362,151,923,504,797,114,866,843,321,779,442,232,746,781,361,380,415,680,492,
368,754,275,422,153,365,886,791,810,515,595,566,464,032,232,073,835,834,560,
365,269,654,737,936,661,353,623,781,453,399,456,473,653,894,737,453,217,732,
813,506,703,849,441,645,849,856,058,372,586,548,463,404,487,131,205,861,196,
686,171,783,006,076,553,380,060,643,950,595,147,075,837,842,666,881,396,657,
689,636,208,548,401,505,523,472,738,939,163,032,918,738,561,491,965,760,108,
953,460,066,002,985,073,369,954,233,747,326,266,469,934,396,991,419,628,325,
231,081,622,660,087,308,456,528,672,202,778,887,409,586,735,916,106,963,689,
678,535,145,618,519,691,629,786,302,530,659,052,576,280,866,425,815,012,457,
300,176,888,225,864,327,859,853,211,968,468,707,550,623,010,619,478,561,603,
542,907,831,176,978,748,366,612,777,195,921,322,170,626,462,645,286,916,356,
006,013,809,787,861,852,733,228,877,711,995,234,256,530,434,975,851,251,243,
256,994,024,061,841,329,146,065,445,584,882,739,683,978,101,222,408,903,195,
792,470,339,585,626,651,553,792,532,071,996,064,127,232,907,806,861,806,598,
163,789,709,295,090,680,337,826,846,303,868,513,767,444,174,336,626,904,884,
019,446,129,950,488,174,513,390,936,499,033,902,389,515,644,560,822,017,933,
691,257,984,532,259,488,289,985,927,532,774,406,484,509,433,794,975,791,604,
342,068,441,378,951,965,340,188,059,721,472,249,406,759,326,613,132,430,904,
536,698,814,159,768,233,706,226,466,464,434,945,191,986,128,293,757,225,515,
262,770,106,674,511,287,982,552,457,897,633,152,827,883,357,430,047,302,673,
950,117,250,626,466,849,182,965,972,917,180,430,413,366,235,730,910,230,152,
607,854,583,506,606,141,940,272,174,561,351,709,805,492,392,066,987,671,647,
391,125,966,373,110,214,033,239,400,248,079,048,542,393,493,269,129,729,449,
065,518,348,212,155,369,612,612,264,993,373,533,018,477,997,045,588,574,567,
322,472,841,829,175,450,246,302,103,525,779,889,717,398,660,071,516,419,943,
531,492,089,117,951,170,411,878,518,492,656,331,569,023,813,979,512,175,834,
867,658,049,680,586,699,341,560,426,607,402,458,036,057,430,324,699,802,883,
639,144,981,600,714,786,725,102,255,519,285,016,727,737,150,148,503,968,028,
986,785,803,577,978,321,674,228,424,604,081,295,446,085,401,965,136,783,774,
179,531,030,727,974,191,037,099,325,260,238,743,818,582,419,762,898,696,730,
066,490,132,337,110,403,206,586,760,758,660,453,252,809,582,341,136,261,281,
694,946,209,311,519,457,529,077,619,876,652,067,109,924,051,537,287,004,014,
406,932,136,515,648,982,748,568,034,075,388,815,057,905,980,576,002,937,690,
651,408,162,435,252,092,149,852,176,345,301,331,464,089,329,455,584,369,471,
456,968,377,848,916,979,229,918,415,395,229,555,826,757,087,294,445,279,257,
756,062,372,855,952,731,354,885,528,178,965,684,317,271,889,390,571,315,935,
166,492,693,973,171,738,747,244,914,797,582,336,142,896,740,052,377,878,222,
272,906,233,643,847,683,225,377,444,274,801,373,661,950,463,997,799,108,158,
235,139,600,533,915,271,954,446,526,764,789,205,036,347,855,748,768,685,088,
555,039,621,531,921,007,113,538,935,253,613,128,465,067,025,956,161,490,987,
246,042,339,310,756,411,396,927,077,735,477,706,159,911,079,774,395,543,301,
948,542,331,034,882,642,705,688,876,418,690,357,077,070,272,113,602,510,151,
803,332,999,165,235,456,847,143,361,920,825,336,554,849,225,291,448,868,246,
888,796,626,727,952,941,486,811,865,362,961,149,225,338,885,995,836,771,564,
149,238,388,039,973,456,616,413,416,908,375,649,037,987,325,707,836,802,824,
286,824,161,387,251,988,010,457,142,876,578,650,405,331,537,411,742,972,350,
941,718,277,721,613,121,774,708,281,210,364,627,685,082,249,220,342,855,610,
890,832,735,470,816,278,807,437,531,448,934,859,258,542,832,615,361,045,692,
261,186,213,519,682,907,154,812,225,596,698,448,419,057,977,051,564,312,521,
163,679,359,830,489,329,100,189,157,517,514,489,255,303,319,178,936,325,880,
498,720,535,298,668,966,399,716,933,584,167,821,967,632,537,055,029,500,430,
617,501,561,073,616,899,983,616,256,842,526,094,883,310,123,656,868,130,834,
875,904,403,253,001,752,160,777,686,697,437,616,324,959,447,809,884,506,594,
365,856,088,548,761,763,740,707,296,320,688,286,475,075,972,887,974,798,342,
931,218,702,052,781,598,385,140,165,797,003,322,164,065,513,413,710,729,946,
421,843,894,889,068,592,822,463,876,830,879,567,565,762,612,674,571,748,219,
275,044,426,376,361,918,735,918,266,439,857,374,191,804,693,889,715,915,399,
198,322,995,698,742,681,072,242,388,692,825,966,218,297,299,931,120,841,742,
902,248,747,176,803,814,425,989,409,720,751,682,159,865,733,857,098,138,876,
872,527,028,177,200,397,299,019,263,955,017,509,190,215,287,579,172,248,039,
855,465,714,498,189,596,579,376,475,802,592,471,691,475,296,248,943,304,025,
453,282,289,058,169,030,160,462,221,791,543,181,062,426,534,464,055,657,320,
487,767,094,031,981,478,763,352,456,629,844,208,046,634,677,008,854,780,152,
479,351,122,234,912,518,969,313,422,924,859,244,261,210,907,796,347,420,864,
568,283,873,496,039,561,492,262,209,448,887,084,916,546,966,443,674,512,781,
126,992,613,851,483,926,937,534,818,160,511,083,044,708,619,584,261,587,306,
602,942,318,079,468,683,822,825,451,705,012,595,632,461,974,641,194,411,360,
925,701,267,205,551,101,704,003,813,262,285,613,004,931,857,397,388,803,397,
374,727,267,318,345,467,473,789,570,471,186,231,616,809,890,547,934,912,190,
279,362,835,559,045,076,747,520,674,397,042,241,234,326,789,126,524,188,749,
669,628,082,840,834,610,732,424,689,682,871,614,678,261,596,084,804,471,590,
275,637,913,466,847,722,650,163,709,813,251,169,957,381,625,055,606,084,733,
570,478,203,712,604,713,755,610,996,204,817,941,036,784,575,552,029,551,390,
122,698,320,192,498,390,092,758,376,106,260,563,645,116,937,683,001,729,087,
306,432,949,758,203,828,988,641,349,957,461,846,352,753,000,953,863,689,217,
868,473,206,726,805,494,083,768,902,420,882,464,072,493,457,118,317,264,403,
101,426,351,405,726,874,510,354,541,568,508,482,460,859,058,370,497,170,211,
047,915,445,991,687,288,715,845,092,579,485,586,318,453,224,107,697,080,404,
696,549,740,214,394,446,517,534,691,092,850,477,112,504,474,565,396,399,899,
370,013,272,629,164,981,677,818,269,830,840,423,725,703,974,758,601,926,514,
530,056,842,733,302,057,456,178,135,134,926,651,197,867,043,878,382,405,419,
624,207,277,975,909,273,385,529,814,148,026,961,814,150,664,130,638,532,122,
212,249,584,780,196,722,694,010,129,802,867,865,115,509,512,154,570,755,628,
197,696,790,998,582,739,775,553,232,606,985,127,256,883,033,193,316,318,644,
871,076,368,065,961,894,338,755,733,069,861,733,374,736,979,832,565,385,760,
505,540,518,303,590,947,438,761,848,720,662,347,435,911,632,845,678,192,083,
058,101,359,925,953,156,318,757,253,191,304,984,969,186,591,288,575,512,034,
172,149,172,337,859,266,155,419,983,126,859,206,178,250,296,785,655,032,157,
199,584,204,862,893,708,774,175,397,364,416,479,766,925,500,972,881,454,209,
717,502,632,591,535,635,542,392,141,776,112,133,635,206,351,698,768,804,623,
768,022,920,957,051,588,319,778,281,911,141,562,238,045,412,643,811,776,916,
153,734,581,690,691,711,042,726,297,322,543,185,985,797,738,214,992,452,956,
632,418,954,508,587,392,698,628,005,617,633,944,312,206,335,038,861,557,702,
369,458,460,654,241,951,920,864,723,510,597,539,106,992,817,950,127,754,281,
326,411,863,787,731,071,567,777,727,005,208,895,656,950,232,700,461,968,367,
044,659,390,000,719,925,653,007,682,800,454,800,342,951,640,646,529,412,592,
750,873,653,651,085,539,262,584,868,504,348,259,186,339,075,307,529,659,452,
567,030,213,337,946,060,840,341,377,441,769,821,313,184,607,709,634,370,055,
579,167,374,204,499,688,979,552,217,014,220,654,399,008,500,988,788,980,473,
037,572,908,611,290,942,297,499,754,011,990,632,646,280,380,578,223,018,175,
486,672,067,353,296,064,285,561,619,506,848,020,444,631,851,618,086,936,823,
795,256,099,599,490,187,501,595,055,573,673,057,591,743,809,273,261,956,635,
424,165,226,896,054,162,432,994,375,006,478,245,060,853,734,080,995,796,039,
301,424,275,598,520,631,128,465,484,684,608,486,633,433,144,699,453,454,234,
830,135,407,855,274,054,778,698,929,707,120,179,737,220,487,974,970,563,908,
944,146,181,900,036,951,112,310,557,075,826,314,326,796,836,128,897,030,552,
467,220,651,449,065,692,518,050,418,715,578,454,706,920,172,189,423,728,952,
923,667,736,800,133,375,949,362,873,653,046,871,892,274,283,220,425,472,645,
452,827,141,708,419,712,368,634,893,538,064,360,886,144,360,908,010,454,505,
588,920,900,541,749,510,067,311,177,510,531,950,569,476,480,536,454,756,957,
885,267,077,971,500,162,235,884,008,998,104,759,968,249,584,748,562,637,541,
869,642,541,581,066,335,169,990,650,695,723,296,617,570,690,095,656,497,146,
886,760,845,983,949,389,062,982,187,056,954,991,325,134,044,942,476,390,343,
648,911,455,508,464,760,866,754,049,743,823,233,337,397,159,938,009,801,853,
105,203,012,724,343,282,199,376,893,013,800,082,582,199,412,091,541,151,793,
830,674,273,026,648,300,705,864,414,743,824,043,492,542,178,137,295,386,487,
038,910,897,631,962,574,885,237,442,843,883,293,292,316,960,991,964,570,170,
724,821,214,078,956,559,343,339,524,317,925,290,010,219,879,965,934,260,238,
836,180,063,213,905,887,754,338,338,148,490,581,159,682,070,495,665,499,510,
123,004,350,605,151,642,499,404,646,419,190,033,429,764,296,750,290,239,353,
897,074,360,738,043,927,533,669,800,929,962,398,845,764,323,667,052,597,340,
510,391,100,415,984,282,624,652,569,065,464,190,693,092,864,684,688,204,285,
193,751,226,895,935,938,703,737,547,733,624,096,729,386,835,618,544,130,346,
852,268,700,369,639,862,444,459,581,886,378,580,422,378,608,274,015,329,164,
923,680,469,024,814,061,105,181,124,596,587,204,791,270,816,838,849,238,476,
437,012,680,400,849,565,677,853,767,160,494,318,664,848,060,302,142,560,393,
312,843,808,558,359,431,130,309,212,269,434,363,772,568,243,937,574,496,906,
008,770,018,380,671,876,826,436,172,300,215,543,046,595,235,441,996,022,922,
360,693,874,763,739,387,429,993,075,821,658,536,312,591,347,650,023,946,865,
231,307,393,991,842,444,820,172,324,893,613,711,576,791,975,406,707,402,601,
953,078,369,392,284,452,212,128,912,729,233,639,171,720,177,245,544,923,524,
513,535,192,456,024,185,910,351,701,823,498,732,574,000,889,136,884,237,488,
104,006,354,493,094,513,156,405,916,760,162,394,630,591,925,177,654,692,869,
509,510,572,149,091,860,637,938,309,071,153,732,838,563,764,241,236,780,889,
676,183,909,682,131,732,644,025,607,747,286,363,646,400,693,228,916,300,762,
218,191,305,407,528,687,529,303,233,190,635,299,951,010,288,808,864,107,071,
757,827,537,076,374,585,934,041,295,223,982,084,635,461,632,262,440,036,389,
548,419,007,810,796,955,200,231,937,657,604,848,139,397,336,440,008,137,049,
419,525,733,028,938,577,829,079,080,205,380,782,831,818,720,934,834,059,331,
016,408,001,461,343,199,695,542,023,753,550,778,416,935,405,149,064,693,836,
426,495,585,516,291,920,334,475,007,814,148,598,094,669,628,805,566,721,210,
328,060,362,110,905,111,809,675,029,710,582,794,790,519,144,305,692,061,517,
138,659,994,910,095,320,470,393,108,389,522,079,913,421,816,201,616,082,113,
467,843,377,086,960,520,944,178,818,772,017,139,831,272,488,937,626,455,424,
472,157,369,332,001,231,529,768,183,953,101,127,213,527,476,466,325,001,273,
254,309,707,409,093,189,669,701,427,502,552,832,692,774,750,486,172,953,490,
258,428,358,108,991,144,833,885,293,282,076,400,720,516,525,743,566,573,631,
985,211,689,630,447,468,857,264,803,384,680,060,032,528,198,013,806,989,999,
183,723,051,565,724,888,777,658,551,868,984,220,608,552,028,276,493,978,456,
506,577,887,555,252,817,444,932,882,801,723,289,721,687,377,406,312,201,004,
956,622,224,076,324,811,207,777,734,209,173,137,723,539,836,945,234,157,475,
580,912,042,579,151,615,737,381,912,539,800,642,510,045,510,729,345,496,594,
970,147,605,519,671,401,703,583,825,249,334,209,175,211,458,579,763,224,307,
851,418,038,481,353,356,640,590,575,226,136,111,098,232,799,734,690,310,744,
344,252,056,356,366,957,818,025,478,004,696,362,159,590,235,982,873,122,126,
725,182,445,037,719,384,968,143,139,717,743,949,757,903,473,626,969,442,742,
808,249,854,240,810,558,230,215,912,488,819,372,765,544,685,955,664,614,067,
446,708,333,678,916,035,553,616,207,767,640,109,335,498,440,685,608,912,396,
713,481,597,221,040,250,051,434,418,002,689,351,715,329,763,522,297,653,884,
606,076,482,819,454,227,990,016,868,513,414,102,946,869,995,446,598,123,255,
841,691,634,117,859,886,614,852,185,394,135,451,847,590,696,540,092,160,361,
630,178,364,182,096,878,834,187,048,542,435,920,801,310,659,385,884,306,110,
469,735,616,554,429,230,197,963,401,679,650,039,347,802,945,954,400,653,313,
142,386,886,037,971,811,069,760,498,365,706,515,897,091,911,519,553,089,440,
128,916,237,050,038,922,442,645,158,071,089,849,225,735,667,851,235,393,571,
857,032,741,310,362,990,741,857,760,155,767,683,979,374,244,912,309,290,791,
432,917,471,236,986,314,507,930,250,921,431,640,529,317,144,790,104,450,091,
620,859,537,170,935,366,819,299,626,300,683,574,987,283,524,037,878,120,839,
355,111,877,789,859,947,783,536,219,927,841,090,150,877,487,398,086,195,336,
299,117,402,646,831,481,254,390,935,006,829,081,527,355,111,179,136,303,335,
607,247,076,610,525,161,628,023,502,621,211,280,964,671,425,499,955,406,023,
180,874,840,888,595,270,121,074,859,201,405,189,761,179,735,937,390,420,430,
460,743,131,485,647,488,300,332,610,386,673,683,023,597,961,023,729,567,629,
856,110,488,728,939,613,653,576,417,511,723,453,526,890,942,428,140,453,510,
289,771,262,892,591,505,541,544,924,914,828,383,929,965,371,267,618,962,402,
664,342,313,321,015,760,082,154,387,848,631,871,281,167,836,417,042,022,371,
758,905,679,521,497,248,590,422,176,652,330,486,188,178,063,130,459,560,595,
014,861,732,155,922,301,863,590,238,225,951,738,145,978,456,826,759,565,715,
640,725,520,271,622,027,528,773,762,588,225,384,631,742,035,182,305,854,779,
960,308,213,140,508,418,407,215,833,487,529,881,185,518,535,056,479,885,077,
773,771,679,035,824,421,629,879,724,548,539,470,666,493,947,428,577,616,438,
345,171,691,652,053,761,461,399,340,146,678,445,306,528,117,952,755,880,089,
731,944,408,159,205,598,581,700,178,945,631,340,306,854,698,121,638,856,163,
376,973,254,414,007,206,716,813,021,382,762,011,280,122,548,249,434,989,170,
536,291,599,373,915,712,258,458,647,434,167,180,711,447,297,629,087,218,248,
258,375,651,112,295,022,352,537,163,681,656,685,637,173,806,582,080,945,013,
325,790,332,680,289,502,223,905,714,889,318,897,058,561,769,478,748,518,320,
624,498,855,943,960,725,591,597,647,739,525,486,761,985,958,945,324,774,345,
847,982,611,881,840,976,011,075,599,143,640,923,824,652,327,176,644,738,678,
265,507,888,341,693,597,837,187,512,986,820,027,475,981,356,599,910,579,381,
527,569,644,556,089,102,023,110,306,131,827,794,772,801,089,695,544,491,530,
821,283,392,669,347,295,220,046,764,855,001,156,180,580,835,193,369,742,965,
996,176,446,203,174,393,408,316,170,352,545,383,186,856,601,727,929,557,276,
630,569,291,271,347,957,022,368,544,210,062,956,625,618,965,128,938,140,757,
425,767,668,534,294,012,285,471,673,614,475,385,046,397,498,447,124,202,051,
593,561,550,644,661,440,134,897,923,942,269,970,535,719,986,070,662,908,370,
171,863,284,856,216,952,206,697,634,909,063,550,333,814,563,529,238,296,847,
388,182,660,346,794,581,751,033,057,595,861,450,398,123,973,082,698,161,615,
061,300,383,909,746,174,551,474,813,770,175,555,276,414,594,304,974,295,239,
613,530,498,842,078,628,618,436,024,459,919,171,425,782,286,991,655,803,059,
317,861,554,604,753,649,975,540,388,987,797,171,074,122,052,056,889,209,213,
152,685,242,761,715,019,999,248,529,284,702,727,920,077,048,165,758,230,917,
993,837,089,661,666,234,175,994,102,729,227,824,761,738,711,038,234,202,443,
192,558,400,382,440,965,296,502,421,738,496,373,483,860,326,251,941,285,789,
863,401,869,591,437,616,829,963,564,458,642,988,573,130,084,726,082,318,380,
324,560,601,125,592,155,651,458,467,693,757,300,740,517,830,275,606,898,964,
079,054,880,587,695,221,451,169,667,992,657,591,600,545,747,800,170,793,771,
962,328,600,170,779,527,944,724,807,840,909,657,058,939,404,206,257,465,276,
350,374,480,450,534,607,583,519,729,596,987,474,168,559,567,122,617,499,002,
621,880,156,316,432,841,306,120,464,798,220,170,319,115,539,821,448,397,914,
397,051,916,680,082,268,267,956,756,350,387,876,940,742,905,241,297,831,374,
261,892,602,018,912,460,037,089,072,705,411,048,308,204,528,913,894,612,837,
155,539,463,251,028,533,558,293,789,090,851,753,910,469,685,375,200,720,715,
503,251,150,141,264,844,923,180,319,862,681,327,518,334,511,444,829,488,761,
597,620,078,972,907,244,797,719,070,737,421,556,715,108,886,587,069,164,221,
120,818,105,386,680,959,465,794,655,509,453,074,163,438,844,924,134,639,321,
324,759,714,799,224,148,400,053,368,545,719,822,257,050,031,549,921,855,037,
128,296,443,345,576,439,395,063,841,296,228,687,669,404,433,534,450,169,837,
276,973,214,261,071,990,625,341,585,873,184,961,016,543,486,151,833,240,714,
758,794,453,643,702,201,273,925,617,564,652,632,375,696,179,448,850,724,925,
938,637,133,513,180,336,697,240,478,157,752,725,174,010,263,132,167,866,019,
150,462,377,865,938,988,646,436,047,325,704,797,105,573,060,097,379,981,210,
037,915,986,373,427,923,457,696,793,334,133,230,574,395,140,828,803,155,416,
086,231,718,056,908,009,376,432,627,441,498,828,780,476,063,222,962,072,912,
872,109,995,701,563,438,149,923,258,692,589,600,554,021,139,396,389,041,276,
885,312,361,978,837,870,221,230,346,999,718,761,466,852,647,915,221,534,518,
320,447,024,485,585,954,095,721,122,440,608,548,199,029,671,813,479,365,433,
159,581,652,249,804,701,159,722,579,248,007,265,706,955,223,270,374,212,213,
515,210,196,871,138,531,033,151,295,463,398,613,034,850,464,689,157,040,263,
896,165,537,074,260,438,680,712,621,380,039,069,201,504,057,579,256,332,642,
175,934,750,362,650,991,727,370,206,811,478,433,442,433,606,497,152,965,778,
689,983,800,817,458,158,906,253,713,609,084,207,209,885,446,047,595,081,854,
697,486,855,776,723,155,858,356,163,357,798,531,062,554,703,655,360,560,535,
872,819,879,608,790,921,953,175,172,849,584,236,443,528,079,773,415,074,218,
516,428,617,684,091,491,594,426,238,402,126,868,056,734,828,786,805,758,797,
891,013,942,174,779,208,048,594,090,243,747,552,574,300,994,564,330,241,684,
627,461,737,483,137,404,608,364,291,531,624,911,094,543,397,483,686,580,266,
126,325,220,050,523,032,132,492,371,321,399,262,368,216,488,581,617,598,480,
498,580,306,455,756,330,901,429,547,225,883,088,536,478,780,362,210,485,395,
698,633,147,026,381,862,033,747,840,798,197,834,467,283,720,407,741,569,766,
937,412,461,141,525,806,576,296,286,508,251,296,259,147,385,243,991,687,186,
161,831,246,656,689,640,549,362,609,577,170,682,076,156,631,996,318,828,964,
804,361,650,993,891,731,603,407,589,468,848,785,908,098,200,094,839,854,139,
749,262,849,035,713,564,168,963,070,158,596,308,954,656,619,228,136,674,096,
224,903,761,655,474,979,692,344,021,263,643,073,326,325,064,489,832,894,384,
104,699,957,633,431,737,987,605,318,108,102,592,874,375,624,903,254,931,461,
596,866,051,345,027,432,621,251,422,341,268,691,394,028,807,181,585,079,808,
778,767,902,323,624,456,885,855,773,783,643,110,535,392,209,014,048,420,538,
192,182,365,396,351,350,506,765,692,342,090,937,132,965,272,370,215,820,095,
482,174,957,636,633,767,781,412,068,778,698,544,156,951,524,584,694,701,569,
380,674,871,129,501,518,673,356,180,469,807,682,323,401,066,018,031,842,860,
138,654,765,609,465,478,954,672,198,571,582,738,198,438,163,635,395,660,813,
349,379,132,422,152,848,116,212,298,767,296,663,672,474,382,587,445,183,557,
595,337,584,895,209,884,549,484,441,797,850,902,355,472,515,068,872,353,313,
185,559,756,026,623,633,339,612,853,782,091,291,581,809,517,592,646,788,534,
425,398,330,583,376,917,746,556,014,589,785,126,387,514,512,828,870,183,347,
713,909,141,802,877,843,168,388,846,467,173,223,205,514,589,048,756,740,599,
325,829,034,427,027,442,629,025,786,278,708,946,851,836,032,217,103,775,051,
229,483,096,480,992,249,158,259,312,766,502,745,081,134,908,256,416,022,490,
459,004,259,266,270,972,663,808,380,218,867,134,463,616,826,340,410,066,022,
550,590,259,194,054,805,719,717,629,642,154,488,234,942,238,553,367,981,125,
163,509,725,777,833,787,297,186,614,693,377,836,324,111,094,883,599,321,733,
865,676,640,605,910,577,011,660,907,302,404,729,524,486,873,664,684,526,317,
826,700,207,753,082,077,238,009,081,056,258,076,460,894,477,693,053,455,568,
023,405,454,862,009,525,299,946,124,466,179,143,178,725,241,893,412,879,781,
637,721,322,843,029,042,094,418,319,414,180,501,978,189,465,505,254,327,722,
020,062,248,126,187,407,626,836,615,138,932,380,586,096,734,599,676,580,756,
037,775,469,816,749,228,179,019,022,835,902,401,896,927,247,795,053,545,608,
455,271,200,204,635,014,259,545,940,138,070,283,735,323,840,565,213,209,724,
874,642,603,258,879,643,627,616,134,675,972,453,215,463,473,639,571,465,557,
320,905,973,073,852,152,992,894,169,153,305,849,241,930,271,208,833,914,810,
764,260,608,965,784,826,877,272,601,176,704,661,402,250,600,093,792,350,938,
205,698,809,304,760,811,633,948,447,271,228,948,023,394,770,765,902,537,415,
571,802,122,672,585,812,536,534,871,327,288,924,834,431,354,673,574,543,997,
167,453,009,019,696,007,585,460,120,156,557,762,341,990,422,669,260,222,339,
109,961,545,782,310,842,090,814,921,187,029,347,091,629,216,854,520,552,853,
827,419,179,439,609,834,330,134,403,850,548,678,157,087,565,942,598,335,735,
936,766,443,379,350,451,096,770,775,581,819,287,195,204,179,440,827,780,487,
664,350,702,507,573,040,884,947,986,282,181,536,860,562,547,007,437,187,211,
495,641,845,342,052,141,444,149,634,901,510,765,632,681,668,232,820,284,611,
644,698,874,324,477,058,571,181,639,677,017,784,134,358,780,111,506,416,736,
474,323,546,548,096,837,822,376,411,625,450,597,040,410,285,802,688,082,423,
075,029,625,206,308,511,173,460,550,973,669,825,215,288,533,782,394,771,586,
918,456,489,799,165,948,992,973,078,364,419,613,836,708,516,858,769,110,543,
890,270,597,799,252,035,711,862,661,370,970,739,753,374,518,893,247,636,414,
823,971,105,374,886,806,867,207,772,962,100,491,955,955,058,216,902,059,417,
906,768,621,001,076,950,480,983,759,861,652,239,359,004,898,344,924,861,232,
831,529,901,197,838,167,465,163,801,979,479,055,882,585,857,351,011,281,907,
212,898,940,225,982,277,220,630,946,323,086,136,156,967,463,568,959,431,563,
018,810,516,061,978,615,695,524,899,034,434,099,045,085,027,362,395,763,385,
520,272,236,719,518,835,990,530,346,267,554,817,019,183,072,405,896,030,971,
115,272,559,358,332,841,686,312,228,620,610,567,705,675,955,231,343,237,047,
445,682,762,488,203,065,146,877,275,947,984,472,977,974,915,368,935,455,745,
115,697,674,156,533,955,358,550,805,335,650,900,517,415,718,291,483,073,763,
480,844,758,914,184,052,031,121,673,484,307,487,146,532,681,841,928,722,935,
553,845,737,217,420,443,585,065,693,978,666,987,225,950,707,534,656,490,082,
126,831,560,831,770,102,386,868,685,803,938,121,815,821,429,259,898,043,098,
295,505,481,957,385,887,975,903,653,767,796,095,191,847,869,416,888,306,795,
578,144,738,341,270,051,212,528,201,507,207,921,374,356,072,030,676,560,675,
075,664,622,675,248,570,007,005,402,916,661,482,042,617,298,876,888,993,922,
952,777,343,702,013,327,551,214,211,416,770,046,705,726,441,013,104,965,720,
760,870,522,124,031,219,616,133,877,249,397,023,521,596,612,538,600,013,616,
256,106,130,232,256,493,952,347,699,455,967,176,892,435,096,767,551,319,864,
591,088,736,746,309,272,985,761,128,057,366,933,357,520,467,725,817,139,932,
498,240,714,914,790,658,518,898,210,450,920,887,693,467,925,619,672,580,571,
548,888,688,749,573,226,756,978,532,177,246,056,230,561,712,561,628,608,832,
078,148,850,526,063,788,193,829,218,742,253,105,878,547,185,230,338,903,996,
499,906,298,299,621,377,733,017,365,837,106,410,473,204,374,703,518,071,617,
896,343,189,767,333,745,030,573,173,645,077,840,806,196,873,984,287,989,785,
295,456,277,273,200,693,207,102,594,857,870,658,823,165,943,635,563,536,660,
396,702,616,894,847,766,950,858,135,869,257,317,069,594,712,936,477,936,946,
250,542,081,153,814,048,746,674,642,946,994,514,344,668,990,709,143,642,819,
668,598,780,113,569,988,534,460,297,791,061,855,906,974,675,048,049,092,538,
244,996,827,437,912,794,059,122,295,482,281,293,457,563,642,580,355,994,338,
236,441,987,937,757,022,803,704,019,094,120,732,665,708,319,282,147,582,462,
381,655,469,832,151,683,624,527,570,922,505,598,245,267,363,423,532,325,643,
264,756,467,082,685,851,843,231,403,889,060,297,478,321,894,554,170,532,562,
385,190,501,975,676,010,888,817,083,650,060,857,974,905,932,442,960,205,016,
363,964,971,318,957,586,213,604,462,863,420,329,003,647,634,125,190,870,999,
277,768,883,665,100,089,915,583,875,942,626,486,341,128,639,667,708,673,998,
337,699,618,345,133,340,581,623,942,460,715,592,715,538,041,470,672,552,254,
555,389,510,536,193,339,379,477,287,435,414,515,176,832,670,103,688,108,410,
057,980,600,650,793,936,390,167,541,775,045,305,053,173,552,847,770,342,769,
907,729,945,916,512,052,608,594,024,756,900,133,942,721,586,134,446,666,533,
519,803,046,895,575,946,600,125,058,283,516,801,416,341,908,402,539,586,714,
309,511,277,748,696,794,920,362,191,068,429,006,905,997,982,147,412,013,144,
860,371,207,703,103,486,076,440,239,962,585,099,556,854,531,002,129,569,494,
534,381,716,218,405,395,428,825,859,858,149,798,627,076,074,369,721,667,059,
570,426,453,309,757,722,467,874,374,421,799,676,640,205,687,819,988,920,275,
560,777,856,781,297,384,508,666,297,533,371,992,751,824,736,521,863,690,381,
494,717,240,749,382,326,229,849,128,936,136,456,772,457,697,680,992,523,524,
952,771,273,143,406,055,205,659,602,980,190,050,985,649,880,635,987,043,258,
585,914,341,747,248,864,661,747,068,391,523,468,303,790,116,748,249,026,019,
454,452,820,711,869,167,808,810,040,125,394,147,680,415,576,773,503,472,859,
553,151,191,900,690,456,767,305,796,005,831,857,486,599,247,923,078,078,357,
652,869,792,262,668,936,961,048,801,404,035,004,902,254,050,852,729,886,287,
045,796,181,722,053,193,298,930,961,874,431,222,321,306,500,259,431,074,573,
939,026,561,883,695,008,796,221,202,480,519,866,799,717,397,950,595,154,236,
864,746,939,401,680,716,575,659,426,099,330,152,737,543,226,079,104,717,649,
406,470,274,226,394,485,692,420,662,289,240,942,680,593,323,591,240,099,816,
664,781,860,575,654,115,592,396,468,151,071,858,742,912,913,847,622,036,197,
580,561,208,373,125,978,604,916,802,145,317,823,215,229,267,167,056,472,857,
430,366,053,316,909,819,902,293,455,123,252,365,398,007,829,061,993,844,445,
962,449,099,735,775,095,417,738,146,529,778,672,692,497,988,086,276,393,341,
709,865,432,606,749,310,873,512,101,194,102,827,807,354,332,446,013,367,672,
720,044,779,488,408,516,306,626,449,260,921,200,402,136,311,718,861,833,248,
930,617,877,706,563,959,772,143,063,688,549,139,746,428,962,946,949,915,346,
798,914,505,667,737,815,691,237,844,467,297,806,305,443,918,538,644,713,001,
467,002,640,694,169,256,701,420,019,021,970,335,148,882,751,592,276,736,081,
176,717,856,386,714,963,394,634,183,276,843,406,814,187,765,784,562,746,482,
431,108,168,605,764,438,953,225,559,555,994,842,493,632,298,006,989,556,040,
832,972,702,988,653,061,147,981,248,707,943,127,743,425,523,698,394,975,933,
851,471,371,007,515,076,997,464,484,971,343,800,890,511,869,339,593,705,088,
034,920,976,946,396,349,619,395,038,699,620,454,437,623,755,238,177,586,041,
456,956,747,852,242,355,880,016,378,824,508,199,070,697,549,262,878,718,030,
269,727,192,252,962,041,456,160,800,315,172,627,205,149,173,958,211,060,845,
623,400,022,404,178,050,150,351,907,699,879,417,307,656,027,463,180,975,654,
645,375,502,372,368,704,748,927,214,978,256,521,233,370,207,908,853,147,515,
356,168,226,306,430,442,605,482,667,684,857,414,541,248,100,868,248,465,117,
911,688,355,312,973,515,677,262,488,923,770,324,783,952,620,417,216,069,775,
082,348,314,740,120,982,251,431,737,271,606,992,051,446,428,146,295,492,448,
572,361,943,752,375,799,847,222,673,786,362,625,562,824,345,270,323,159,375,
873,408,028,624,003,725,497,269,678,704,175,501,674,730,334,548,177,130,066,
508,981,508,974,196,267,919,742,844,339,370,406,052,683,868,807,057,120,333,
130,182,402,516,132,113,431,276,771,588,995,001,493,822,348,574,619,380,725,
059,673,907,538,634,124,182,726,163,995,697,408,233,444,385,539,789,494,785,
157,158,353,168,272,053,144,010,955,628,472,411,760,184,641,962,863,042,193,
920,164,945,106,886,178,729,868,505,373,347,717,990,966,106,377,620,229,220,
899,813,723,622,034,555,099,653,504,343,739,443,707,875,428,932,258,355,121,
713,969,291,462,421,585,445,708,072,219,155,484,590,303,925,466,959,771,223,
333,147,072,256,779,183,354,331,188,645,109,156,043,210,586,281,967,235,106,
535,760,457,165,961,899,499,550,391,580,233,441,940,203,875,343,621,970,422,
657,799,203,589,293,117,843,202,271,432,894,483,516,071,806,458,761,358,798,
329,246,757,024,235,016,903,290,659,181,249,101,361,439,230,617,480,714,231,
909,761,562,485,847,076,853,166,090,602,373,525,012,625,747,279,261,239,270,
837,751,146,241,669,031,872,330,825,092,488,375,500,939,660,808,432,531,424,
899,649,718,915,317,288,720,996,694,154,898,110,488,810,656,903,030,497,663,
345,144,496,675,581,107,470,177,741,347,018,643,628,877,145,972,343,173,307,
928,399,261,791,188,568,370,885,404,490,916,242,007,065,209,823,582,870,091,
282,231,389,487,791,679,809,950,952,532,451,656,992,984,658,108,632,522,271,
289,131,442,149,505,273,169,586,338,817,954,936,720,069,028,244,776,011,841,
462,950,580,223,682,197,862,476,571,476,993,913,707,459,241,086,089,722,015,
544,906,540,473,672,384,096,278,383,388,316,521,251,426,108,896,560,880,142,
146,722,945,184,961,354,633,618,026,510,566,279,405,233,942,207,944,452,751,
046,674,816,519,450,958,406,646,130,070,166,121,635,869,333,027,345,875,604,
286,818,927,286,057,030,024,371,975,467,778,946,513,108,111,862,479,238,172,
832,129,310,145,527,898,606,760,082,246,278,227,724,617,831,247,860,350,210,
459,868,605,254,456,865,145,925,331,261,164,058,379,734,752,491,502,610,581,
606,788,123,108,446,739,644,310,390,549,914,156,187,532,737,737,301,072,855,
422,968,150,054,946,567,404,767,179,217,034,925,670,918,852,522,209,171,198,
806,744,758,628,184,929,947,062,963,698,587,914,519,596,777,011,400,089,439,
346,338,040,254,420,500,054,143,382,579,040,764,530,907,355,087,505,852,083,
986,382,152,523,343,365,367,949,172,156,016,665,417,624,560,717,383,341,332,
229,612,644,283,637,502,281,920,633,583,476,723,652,789,047,354,034,773,822,
342,872,798,994,806,941,123,252,229,639,579,160,340,060,396,935,693,847,770,
443,753,340,546,370,899,963,208,957,893,084,835,706,932,687,127,355,760,128,
889,144,142,540,387,223,923,922,074,972,588,379,082,713,704,855,299,221,046,
977,292,347,863,472,772,145,052,494,009,032,996,247,124,225,354,126,108,935,
976,929,513,646,236,279,851,950,018,169,879,862,405,524,972,196,606,148,083,
015,506,698,767,958,110,514,480,752,166,396,364,927,174,716,376,707,141,679,
553,280,375,661,149,637,891,690,973,704,142,283,838,833,422,278,613,708,808,
130,736,910,980,362,723,529,666,571,321,959,757,634,894,379,173,174,090,245,
283,521,943,119,627,918,654,897,475,660,066,865,895,534,381,598,288,331,650,
711,293,532,714,463,620,693,330,701,246,876,288,096,347,454,191,296,142,807,
146,283,420,880,383,725,635,638,330,161,225,002,615,274,102,673,961,841,112,
139,960,498,690,936,033,855,983,585,047,126,670,496,651,927,989,117,938,135,
566,309,323,998,588,110,006,072,055,383,472,895,965,517,379,872,503,116,272,
228,231,417,889,883,436,546,849,056,768,292,645,270,574,705,936,497,421,076,
840,933,609,941,123,397,074,793,376,393,274,911,202,154,279,831,145,254,751,
936,418,493,347,425,273,727,125,338,938,207,934,901,428,309,763,022,689,638,
796,879,641,321,084,873,513,592,442,856,931,362,784,421,497,517,479,475,478,
063,762,760,293,958,516,871,744,853,389,935,049,356,487,202,955,665,535,382,
560,573,044,845,679,799,782,848,442,359,134,686,261,872,035,901,382,703,468,
524,696,938,840,407,915,902,418,068,383,513,057,305,452,037,923,500,367,017,
093,245,662,728,772,994,339,368,081,721,708,071,058,564,060,491,331,162,709,
375,432,250,792,601,280,287,693,313,494,689,054,702,698,003,640,222,300,420,
511,949,492,975,110,032,847,751,409,267,630,352,969,760,680,299,083,353,410,
088,798,989,910,210,051,397,535,853,067,999,579,486,391,964,971,530,467,187,
311,431,548,030,545,149,005,520,127,111,760,342,919,529,555,812,211,481,074,
882,891,481,720,367,831,094,806,276,512,418,721,735,334,436,331,564,434,826,
232,237,586,823,352,087,290,736,761,302,930,527,986,792,334,733,972,789,697,
922,537,486,156,434,462,813,026,009,124,446,271,037,814,082,457,659,733,879,
324,705,419,253,941,284,449,859,437,028,140,717,228,694,202,633,224,664,958,
320,530,135,899,732,064,202,941,080,899,262,034,275,309,920,923,900,761,426,
501,994,677,296,117,434,988,284,388,689,413,583,311,741,401,394,627,781,466,
845,211,018,855,765,303,650,623,287,205,143,409,206,157,662,828,308,937,124,
727,038,115,444,441,328,513,959,011,829,582,140,435,300,432,584,093,488,927,
844,897,203,549,452,750,228,622,578,553,578,311,955,757,590,753,511,677,778,
985,145,955,925,872,161,164,096,880,176,069,548,617,793,668,141,647,986,024,
168,428,857,339,697,708,489,190,132,334,453,757,366,333,691,507,085,540,729,
358,349,088,466,173,104,154,864,672,123,414,204,532,533,003,816,639,807,040,
008,690,042,212,751,081,249,356,796,074,351,027,800,481,929,261,300,723,557,
679,106,081,884,539,646,914,128,934,335,697,853,962,863,565,169,445,587,938,
268,489,092,539,378,886,841,954,874,763,008,492,504,808,742,263,169,019,477,
958,958,102,372,392,430,086,735,469,406,951,824,432,848,596,125,884,643,542,
425,334,509,190,629,357,080,521,266,196,341,219,520,683,761,223,060,627,897,
277,361,688,111,630,087,949,320,652,903,287,485,368,821,706,404,047,187,089,
022,583,295,016,908,158,228,401,918,706,322,000,599,211,460,450,188,491,257,
849,235,697,511,535,038,106,921,104,924,672,994,091,059,297,803,849,430,549,
920,941,523,152,828,899,751,578,326,784,558,764,557,644,289,664,885,699,595,
428,556,309,143,897,119,876,606,072,448,217,618,345,379,370,607,814,149,924,
062,667,261,907,676,608,640,110,963,188,953,997,436,395,185,317,689,138,876,
385,107,054,461,932,985,281,772,070,794,788,823,820,815,223,637,872,261,683,
295,975,879,832,194,372,292,305,528,053,517,000,551,968,925,088,173,024,865,
377,452,572,989,692,420,372,777,333,596,792,893,708,887,266,767,815,890,459,
733,197,241,324,239,301,201,883,075,443,743,961,030,813,845,270,823,046,063,
290,772,095,149,086,886,475,060,273,832,930,641,381,234,317,924,639,317,509,
662,076,227,328,136,091,305,192,514,889,430,688,514,072,166,707,387,852,550,
745,231,394,213,756,873,611,932,270,422,517,355,363,832,277,565,617,530,096,
966,629,978,473,321,593,338,955,587,663,537,270,750,616,849,557,135,914,550,
475,664,245,148,820,756,124,046,840,050,949,436,304,143,089,962,861,117,367,
273,532,193,677,144,180,707,819,194,480,403,318,443,651,971,049,619,256,356,
333,494,290,455,248,401,498,388,451,650,922,432,391,379,535,242,989,189,025,
154,371,521,491,285,004,057,297,761,996,596,210,482,578,130,142,904,409,918,
426,882,366,968,649,947,621,163,982,770,326,394,017,186,240,125,570,763,988,
572,718,071,606,394,439,693,086,407,800,811,393,802,028,105,096,405,179,236,
379,903,860,731,006,862,097,383,312,792,143,666,544,271,160,803,701,038,263,
534,851,965,728,005,550,330,286,385,214,741,341,309,894,884,551,307,580,835,
728,628,572,813,029,324,904,934,812,662,408,146,993,302,996,964,852,503,643,
522,658,556,365,579,221,294,529,103,980,202,403,083,729,585,255,175,849,907,
994,485,522,614,460,911,565,179,250,903,888,486,677,676,867,141,297,134,684,
996,340,037,602,689,472,198,663,045,838,786,383,808,448,618,036,849,472,246,
923,304,122,055,489,228,015,967,233,567,372,883,066,597,079,071,141,022,512,
248,029,314,056,988,998,644,296,362,245,779,067,275,124,047,410,471,945,009,
563,783,640,940,888,388,177,425,461,086,792,288,291,158,051,040,622,492,151,
320,328,310,763,479,261,823,248,354,315,216,348,722,775,092,059,783,657,040,
630,756,608,099,800,155,342,431,161,688,557,187,420,379,365,111,042,050,485,
937,013,134,675,952,148,796,108,612,702,757,803,705,425,638,417,789,819,336,
599,231,028,423,765,094,508,162,965,701,727,891,374,143,221,534,115,556,948,
306,332,073,629,704,177,145,133,807,959,943,437,425,725,575,335,145,949,602,
547,413,375,529,951,445,402,444,912,891,488,978,476,179,534,683,509,024,925,
487,847,841,163,157,856,964,874,918,592,905,339,725,955,561,879,807,248,503,
332,670,944,245,938,280,675,899,341,743,400,078,407,719,511,423,807,799,196,
170,700,218,441,059,156,996,334,883,850,623,967,950,148,726,126,031,215,769,
416,092,417,763,995,303,798,536,806,146,396,970,530,102,262,654,737,111,374,
027,777,965,630,104,104,236,991,704,215,516,690,959,963,893,255,861,539,396,
709,754,746,405,373,028,363,163,365,932,177,615,394,033,294,964,529,200,439,
778,454,945,733,621,407,264,410,879,521,312,795,952,578,174,806,865,142,968,
166,882,248,108,322,558,831,568,306,267,457,349,015,241,538,927,053,811,171,
978,020,429,492,709,433,659,218,346,547,055,592,493,798,820,932,112,056,384,
627,154,535,043,860,670,943,617,118,189,177,866,301,803,886,251,002,468,388,
292,582,067,122,653,377,105,027,396,971,134,362,820,136,600,652,071,440,392,
448,987,355,760,545,784,742,423,849,083,407,753,270,783,368,274,927,463,271,
061,694,119,939,379,934,002,306,813,961,447,940,307,159,479,658,742,382,866,
586,805,578,292,023,413,238,493,765,655,948,935,257,640,091,247,434,552,528,
005,612,386,654,554,266,644,678,929,147,457,214,925,138,227,328,239,247,212,
087,510,509,088,076,331,945,467,346,263,598,927,784,740,520,697,145,672,836,
830,088,891,643,132,116,203,525,657,409,324,709,439,860,167,812,905,339,848,
141,545,840,046,911,010,456,100,210,841,253,683,566,353,008,175,839,023,219,
289,747,986,247,932,273,249,442,497,815,560,685,751,110,863,583,288,696,424,
469,825,201,719,825,600,421,097,053,635,596,976,012,211,495,306,037,435,547,
325,341,607,784,185,972,324,200,541,448,626,037,064,849,436,921,433,431,310,
233,625,554,630,924,182,433,826,659,150,129,864,199,619,895,370,136,356,769,
771,841,140,844,251,254,607,338,552,668,624,910,895,414,732,429,400,275,423,
476,210,190,790,194,903,679,847,314,696,847,574,049,881,262,823,335,193,844,
840,671,794,866,736,118,779,008,631,448,415,278,518,563,097,045,685,614,507,
853,604,542,507,199,416,857,186,576,072,022,739,534,734,835,345,970,849,623,
748,810,570,363,903,131,004,092,650,843,578,345,724,111,713,194,295,409,505,
226,531,953,875,497,793,507,487,721,448,673,612,899,363,414,444,189,450,744,
998,003,645,518,435,432,945,199,186,258,462,421,995,240,280,584,709,686,597,
355,459,538,031,583,255,587,488,621,104,351,486,022,194,815,972,010,564,144,
153,185,499,256,418,121,351,739,390,129,232,753,601,856,637,957,143,937,173,
790,241,430,091,837,789,468,144,067,665,967,508,792,448,451,865,982,233,841,
801,083,062,852,193,276,715,802,646,583,203,942,091,129,230,503,796,049,160,
332,610,407,648,692,371,654,775,632,922,794,688,183,777,705,340,034,421,238,
652,796,176,533,930,558,625,534,348,109,500,044,371,423,046,426,383,997,771,
303,624,973,307,216,093,546,570,069,755,765,574,001,657,332,929,162,943,545,
898,461,006,147,136,026,021,374,768,067,539,848,982,090,441,136,491,436,296,
457,762,451,817,760,807,944,669,712,498,604,847,943,387,784,765,351,631,217,
048,718,706,714,627,918,130,225,603,317,471,200,574,964,789,773,991,199,498,
969,470,858,091,275,572,934,814,213,311,146,476,053,567,424,800,791,157,304,
886,141,608,736,759,456,875,404,188,838,020,153,057,411,549,092,208,484,145,
784,629,605,733,501,881,447,955,368,278,666,287,143,368,355,127,338,865,907,
678,289,033,108,237,816,317,497,189,527,845,527,967,316,661,946,579,642,886,
652,540,192,018,316,184,282,352,109,293,779,626,624,757,242,692,737,443,006,
534,057,944,745,196,280,316,484,871,167,570,676,839,444,205,189,738,898,568,
928,058,642,863,682,277,913,031,065,730,615,139,482,503,528,863,069,014,606,
898,007,196,480,722,044,746,449,328,681,622,024,130,173,999,611,152,465,968,
364,864,357,257,789,977,486,861,269,967,234,713,626,451,468,226,022,183,123,
713,904,222,145,384,025,132,599,489,675,719,691,551,091,391,611,031,188,316,
271,723,648,812,447,297,862,194,251,921,496,815,608,714,531,542,611,852,136,
338,841,593,886,196,971,951,137,838,051,664,844,581,510,214,233,642,575,324,
743,252,136,252,229,041,285,219,994,202,729,969,592,184,416,018,833,022,107,
262,722,864,816,796,756,679,424,825,246,245,416,567,760,645,737,077,564,874,
020,497,893,439,939,991,895,068,479,303,933,398,006,423,137,936,639,309,160,
737,725,629,477,217,061,280,720,906,416,010,445,928,931,345,309,914,389,064,
554,118,820,166,405,115,395,932,492,395,470,624,590,698,579,406,339,436,287,
950,329,490,830,490,307,815,650,508,427,759,519,540,015,872,041,521,161,422,
368,040,976,287,490,923,191,622,654,583,739,053,425,955,644,296,330,314,615,
123,698,319,324,346,497,606,436,193,355,960,927,128,279,764,959,437,538,674,
952,738,735,548,404,427,173,672,181,656,716,895,467,960,163,949,380,488,882,
921,742,606,689,138,556,013,065,978,254,856,316,939,873,422,003,374,822,112,
909,891,332,907,288,526,086,221,580,601,190,178,560,957,663,209,573,482,484,
251,614,518,397,427,247,396,416,399,021,187,044,579,535,373,957,386,787,056,
647,047,998,796,423,656,327,995,598,384,394,281,168,964,301,449,328,024,645,
512,984,734,582,174,204,698,788,852,649,028,591,363,790,678,710,878,815,865,
208,686,648,219,439,520,272,492,927,170,201,573,186,713,648,042,118,629,186,
147,360,382,999,274,302,442,614,335,628,157,225,413,517,186,316,456,843,380,
465,705,005,363,527,107,380,127,249,500,240,259,454,158,979,025,532,800,471,
975,746,533,425,225,278,873,491,241,880,829,374,567,422,148,365,692,831,255,
627,794,244,356,062,326,313,086,220,245,156,630,320,289,518,508,170,801,343,
416,182,444,473,862,827,914,297,536,080,603,125,323,441,171,191,222,097,610,
268,401,023,378,376,250,255,494,935,101,759,227,576,537,682,001,682,043,477,
614,045,520,716,165,359,850,715,600,931,224,569,916,248,264,800,994,430,704,
775,956,722,952,468,367,030,478,031,329,736,682,750,609,243,544,658,232,295,
204,077,176,578,258,803,102,328,724,405,234,835,491,616,051,589,353,787,419,
732,450,604,267,973,051,680,432,976,438,515,184,014,793,400,671,430,715,165,
381,546,100,453,247,019,945,297,730,090,032,371,299,168,885,032,540,900,675,
938,595,343,721,204,454,594,920,937,314,275,003,397,679,951,967,692,427,538,
319,136,716,729,709,859,724,396,977,616,086,038,243,073,989,023,545,906,373,
902,619,271,158,773,794,825,192,885,858,339,953,964,511,351,134,503,413,665,
066,023,853,183,487,966,682,608,275,350,960,843,632,160,680,896,015,074,620,
411,868,244,436,042,606,750,098,236,062,122,010,279,324,951,387,326,821,942,
025,239,018,911,028,103,007,081,343,675,968,635,880,392,845,826,000,156,817,
980,356,411,519,399,990,391,799,362,928,233,834,117,476,822,615,773,670,813,
681,619,735,087,348,134,363,522,154,690,144,840,224,339,704,228,367,145,296,
925,299,770,268,038,096,804,135,046,899,294,230,690,236,861,293,532,553,043,
712,960,402,887,968,727,300,049,434,316,573,095,050,725,221,620,422,803,791,
522,634,951,307,210,912,161,097,553,546,234,558,538,273,962,763,198,892,316,
045,232,052,386,941,005,441,251,557,872,350,616,387,272,184,347,632,932,439,
534,682,482,006,072,929,039,598,176,892,641,631,686,990,457,615,706,476,886,
692,174,085,106,000,365,681,401,965,875,676,111,126,025,755,863,163,236,665,
815,139,200,888,577,744,256,131,737,621,530,758,943,190,831,504,965,718,615,
923,525,318,083,480,453,874,377,941,402,672,190,767,458,485,004,935,655,966,
237,410,933,498,165,949,602,962,872,553,824,818,456,462,032,085,491,784,440,
071,208,719,809,429,392,769,039,622,866,695,558,552,728,251,090,374,390,040,
254,504,567,333,083,062,922,636,579,593,556,001,234,695,926,918,761,997,716,
961,015,627,284,765,165,158,070,553,703,237,892,672,648,653,560,796,576,952,
094,288,087,428,953,566,664,211,459,451,326,018,753,214,477,161,785,109,008,
710,256,172,763,572,788,939,473,381,315,766,505,780,072,396,512,604,796,104,
319,578,927,646,173,911,508,778,263,144,544,861,039,271,184,494,361,122,344,
804,515,175,344,852,265,749,524,722,315,356,357,332,379,781,702,029,396,404,
471,744,174,715,287,348,821,804,320,288,758,659,709,173,113,810,529,888,694,
849,000,627,089,013,542,104,237,544,691,354,657,135,910,699,321,938,971,665,
053,595,038,595,771,978,473,159,901,814,399,656,243,579,182,219,659,009,513,
047,194,931,876,203,562,223,677,473,258,904,663,369,003,485,154,040,100,860,
185,458,966,532,756,566,007,488,249,528,472,594,302,715,898,369,944,349,899,
203,181,238,162,409,200,954,151,824,898,590,912,585,093,415,875,065,985,040,
048,567,970,547,191,075,667,978,622,532,365,725,759,557,183,576,011,024,620,
931,012,294,368,935,349,200,140,478,462,242,642,135,576,238,781,401,103,007,
543,261,858,198,728,892,582,400,188,209,076,368,361,834,746,690,656,141,714,
674,401,930,814,619,446,289,137,605,919,538,059,703,650,535,902,646,083,793,
937,819,993,609,515,421,683,789,747,657,430,664,455,663,194,799,276,618,376,
770,531,460,906,717,989,288,430,809,696,074,620,386,914,501,574,396,873,821,
358,758,497,858,210,143,622,087,645,466,092,611,014,185,801,104,101,425,212,
114,025,438,513,864,889,434,042,218,834,142,425,656,707,008,497,916,454,786,
278,366,238,633,447,199,451,423,181,488,269,426,392,453,408,763,260,399,947,
126,565,740,579,765,140,065,877,504,947,526,009,214,637,449,345,180,712,409,
751,395,405,768,896,916,693,823,080,238,708,513,781,820,647,029,917,568,174,
495,285,898,893,539,875,244,880,363,391,076,724,504,903,045,454,256,027,494,
696,832,735,303,479,925,265,537,747,316,530,848,151,863,826,038,059,464,397,
066,949,707,344,445,242,723,491,520,499,595,921,801,907,936,176,215,158,365,
115,701,418,144,127,034,986,755,671,183,352,930,672,251,204,984,350,066,815,
140,886,543,217,352,538,616,441,449,883,136,999,500,638,537,043,014,260,517,
108,408,993,304,704,705,355,222,136,511,249,625,740,007,621,856,851,202,804,
457,185,536,033,148,545,495,130,698,172,628,540,598,614,863,979,199,476,091,
367,786,242,405,768,472,419,068,353,224,839,115,678,396,016,898,677,272,902,
237,059,018,346,430,572,522,616,347,124,955,976,912,635,502,305,534,965,873,
540,225,708,160,910,213,434,947,007,934,007,076,334,735,866,640,315,795,707,
758,465,335,832,228,592,737,163,700,480,524,920,016,013,783,864,272,666,059,
323,340,916,474,805,313,421,869,612,436,084,176,362,824,623,441,041,014,118,
930,824,036,210,810,977,867,469,578,561,512,585,575,738,083,984,680,281,341,
579,781,493,439,444,827,093,615,918,513,842,482,830,470,760,939,943,637,014,
693,436,084,630,544,415,428,054,176,156,002,696,894,561,764,704,442,059,005,
800,290,570,458,446,559,407,483,731,734,468,421,254,229,355,715,477,110,440,
102,543,218,290,361,088,154,424,734,046,745,440,808,893,647,418,670,037,720,
998,604,114,135,124,650,578,864,074,302,126,392,230,392,119,731,567,251,243,
353,569,481,146,407,981,269,428,572,247,958,321,317,622,995,230,164,209,034,
572,860,846,967,950,252,592,815,816,871,359,172,158,464,788,685,844,781,797,
056,581,903,594,350,348,076,064,627,646,491,498,490,562,117,299,790,359,360,
427,435,869,728,344,533,800,544,913,553,718,386,340,600,335,329,702,317,609,
196,475,567,287,982,468,119,457,178,892,629,848,721,531,764,174,550,526,104,
787,102,008,688,003,441,967,302,850,812,896,742,398,776,995,757,899,665,749,
452,557,713,429,866,333,301,474,361,932,526,899,685,586,514,132,000,146,154,
557,674,149,979,360,707,141,866,918,441,945,697,269,642,984,468,478,894,137,
863,454,058,548,089,631,175,907,339,092,065,481,341,171,135,526,589,069,685,
042,627,157,138,885,664,534,182,646,427,525,341,285,093,202,670,719,492,043,
344,079,967,187,273,393,449,223,698,417,895,507,217,111,085,795,254,650,386,
551,129,724,306,870,177,081,746,684,432,508,150,768,974,190,594,934,164,756,
617,805,743,798,973,895,991,869,617,085,841,921,875,475,909,623,581,947,245,
369,128,876,655,085,005,638,105,415,409,590,168,727,928,237,300,932,223,169,
398,428,713,961,879,452,632,425,048,226,584,587,641,454,489,783,981,607,325,
301,848,050,150,313,518,928,587,276,321,925,182,698,624,634,773,290,377,688,
939,755,419,221,023,823,387,546,282,436,826,007,908,463,819,698,386,431,627,
578,739,998,738,379,326,115,280,024,137,632,607,772,224,835,299,751,595,371,
145,032,147,916,922,846,462,632,204,909,797,488,021,941,954,908,614,675,156,
270,680,248,661,742,226,115,148,579,391,192,745,201,326,103,931,231,545,062,
000,128,419,025,103,376,407,099,435,477,277,959,270,551,808,222,593,838,056,
148,420,443,516,539,640,079,062,559,869,341,028,123,286,399,594,312,373,156,
854,499,346,905,437,437,603,112,383,020,239,737,423,944,575,070,789,994,770,
860,929,177,172,878,928,973,521,800,983,523,329,336,150,779,271,805,537,382,
275,264,346,961,227,529,130,034,191,955,430,220,754,857,205,939,916,329,147,
038,303,322,082,933,253,683,753,923,801,743,597,061,351,975,276,012,320,625,
126,184,711,319,794,247,961,454,749,430,783,570,058,393,701,043,251,223,473,
971,492,800,381,289,746,893,590,681,969,181,238,777,613,257,797,741,797,564,
702,929,789,858,727,696,348,703,834,544,141,463,081,962,893,036,179,862,235,
747,111,002,245,007,320,553,586,661,868,371,884,432,472,222,053,813,032,506,
472,614,296,552,179,386,591,860,120,503,763,826,351,119,423,350,970,140,759,
830,038,723,128,210,483,704,377,653,801,200,440,627,834,720,186,397,429,722,
361,954,729,756,485,663,162,014,280,281,904,020,588,124,904,532,630,762,273,
153,637,447,274,938,141,274,625,480,936,956,255,627,773,275,808,822,430,255,
527,662,820,538,248,822,662,336,221,250,912,171,278,514,140,900,303,726,040,
042,676,125,033,748,353,858,110,277,884,067,863,936,416,037,063,228,714,769,
619,484,904,588,715,256,696,491,005,228,173,146,936,382,004,692,324,760,937,
616,115,638,153,132,104,530,609,230,733,687,830,550,731,439,621,022,749,065,
000,290,405,796,930,751,310,093,209,629,605,640,800,262,148,583,373,936,319,
360,688,372,258,074,926,051,568,721,549,175,456,205,262,454,991,710,460,529,
005,400,926,248,449,508,327,527,511,577,232,371,655,749,215,658,394,406,215,
562,008,105,670,750,615,561,789,049,505,689,427,214,590,721,305,297,043,081,
325,850,489,029,201,317,801,244,819,380,485,903,236,312,950,210,058,914,552,
946,696,926,766,253,113,426,405,091,523,853,974,656,751,202,280,568,715,490,
093,210,384,562,960,213,438,777,114,662,815,496,072,750,413,076,550,754,951,
762,734,388,230,443,360,048,345,458,995,732,560,131,994,308,828,899,218,905,
410,111,964,761,821,689,105,539,619,413,935,739,415,517,973,491,826,495,138,
205,550,965,188,119,619,072,287,426,014,672,849,688,659,760,037,316,714,515,
739,106,211,448,089,432,749,160,315,715,855,630,245,293,517,499,470,261,312,
444,727,868,854,834,778,691,857,311,921,075,691,872,869,509,599,325,721,053,
953,769,228,733,778,209,777,014,348,773,251,812,381,282,328,649,475,757,437,
717,824,318,258,422,869,372,340,157,806,004,410,069,140,579,367,097,229,981,
229,536,592,308,696,726,537,246,859,339,006,384,457,941,354,405,903,938,507,
840,196,394,016,637,364,052,254,756,631,385,489,120,290,955,371,667,815,655,
942,641,911,767,902,853,509,062,044,250,180,388,997,008,397,567,170,916,808,
291,305,432,307,575,758,364,156,520,237,684,659,343,919,833,239,050,660,356,
005,993,270,089,305,077,118,546,973,239,061,256,511,124,748,479,516,442,912,
611,477,532,205,199,622,375,441,065,391,857,871,712,296,835,233,383,563,606,
513,675,736,988,008,558,580,474,402,379,028,691,268,943,862,003,709,812,315,
898,575,290,201,053,803,289,553,097,002,477,449,356,342,232,733,283,698,477,
700,819,833,928,683,218,039,047,148,640,800,370,094,223,353,527,619,640,306,
254,411,459,440,475,695,840,361,005,583,010,953,162,062,915,026,390,174,888,
899,760,150,984,278,553,958,227,053,448,584,210,455,021,536,857,745,906,654,
381,863,538,419,198,664,791,976,710,574,465,198,449,585,028,625,886,257,044,
519,975,189,202,271,801,114,447,055,170,786,770,124,954,853,594,387,659,891,
351,131,156,962,474,457,266,499,777,397,703,097,928,521,225,553,771,389,486,
256,211,541,670,571,336,429,751,581,942,525,241,239,122,835,044,846,889,371,
284,823,857,143,742,305,095,231,579,684,597,098,935,893,738,531,269,381,074,
517,838,032,756,181,557,431,460,675,915,536,017,742,191,858,076,694,319,507,
773,535,619,414,582,611,730,991,859,691,031,375,946,130,451,692,360,704,326,
412,949,569,727,711,123,299,758,178,492,587,171,836,459,100,357,354,791,484,
760,348,732,577,660,105,852,478,348,068,159,878,970,970,248,231,896,611,330,
167,776,211,211,872,889,300,982,668,460,784,995,372,924,988,600,493,880,061,
526,192,107,026,766,484,090,513,953,252,473,378,204,297,863,086,058,372,394,
041,590,957,876,333,027,713,784,095,281,870,857,622,266,558,563,053,141,215,
278,107,812,330,744,029,832,144,600,101,222,659,803,139,981,187,864,176,210,
887,379,661,946,668,874,912,611,768,044,515,638,945,112,772,751,893,531,229,
186,213,111,160,873,006,158,586,410,937,686,864,641,537,122,264,649,018,613,
458,416,570,666,641,663,203,285,322,371,212,561,049,458,480,932,432,299,903,
272,421,079,809,666,314,789,853,865,449,302,388,921,312,151,121,027,400,549,
365,016,404,404,417,308,702,075,522,117,622,974,488,199,453,589,397,668,888,
070,835,679,587,513,067,301,751,177,873,464,066,325,191,700,279,433,363,627,
213,342,231,589,088,479,996,314,014,465,895,324,661,488,284,909,505,958,826,
218,188,706,439,629,458,663,170,943,345,492,528,654,252,730,020,839,829,553,
731,073,321,039,383,592,390,158,180,162,543,872,383,878,359,366,989,349,518,
743,076,247,068,532,965,132,312,157,785,044,761,550,539,419,817,718,745,840,
484,513,272,953,103,893,958,050,979,612,167,058,377,516,751,237,202,141,364,
784,550,458,583,733,314,024,427,060,998,060,562,886,303,186,573,723,943,719,
011,802,141,214,067,950,433,083,494,261,152,421,543,801,510,065,340,846,134,
492,934,097,183,218,788,197,410,944,282,535,442,678,480,559,605,970,569,464,
648,736,568,897,616,542,929,283,507,821,923,457,693,361,016,959,288,794,114,
296,684,122,485,248,605,563,337,284,613,185,871,005,237,259,854,275,673,173,
056,122,783,734,133,135,216,716,150,022,179,777,855,705,338,113,941,381,889,
585,560,585,486,034,866,569,715,350,867,839,155,433,317,084,771,274,234,533,
244,842,937,463,820,539,906,413,975,205,523,895,980,088,014,718,549,263,825,
629,564,619,445,823,872,925,737,004,768,905,225,844,167,405,586,259,770,732,
501,536,192,955,779,315,626,225,302,579,460,653,749,423,783,066,961,601,296,
065,465,114,968,760,639,737,692,296,737,215,909,257,708,489,740,185,819,789,
765,776,485,389,200,437,846,555,794,673,890,361,456,894,822,345,862,970,831,
601,872,257,421,672,037,696,913,977,558,640,607,742,920,333,232,290,819,613,
395,509,045,861,184,549,275,970,893,833,720,903,070,854,566,089,743,818,546,
373,863,352,458,856,536,116,735,676,569,695,121,060,239,032,849,867,854,673,
535,936,835,887,875,493,255,669,623,294,731,262,594,669,330,744,151,788,576,
380,335,528,936,954,234,862,227,267,113,513,778,081,951,075,027,818,235,009,
668,128,351,827,884,242,353,551,091,466,803,674,814,467,200,558,055,740,134,
561,260,164,407,445,277,450,767,329,711,022,726,052,800,138,492,179,542,666,
486,415,847,915,501,017,465,317,795,426,240,739,213,156,079,814,020,401,826,
975,153,630,692,849,823,736,183,696,610,662,872,316,926,055,996,233,365,644,
294,045,378,810,932,943,741,010,699,503,927,580,399,021,959,991,634,237,252,
725,656,630,429,930,033,742,645,965,701,499,812,697,271,118,606,490,808,252,
968,291,274,216,088,729,711,695,946,890,438,236,541,025,310,241,696,309,060,
839,694,873,821,029,025,745,554,770,013,952,726,083,360,533,544,835,747,363,
766,495,851,982,723,880,193,367,671,743,399,639,677,501,507,564,524,052,598,
475,028,181,330,264,483,008,533,587,145,166,058,355,640,548,208,307,799,699,
057,631,578,390,712,430,774,725,650,079,079,399,763,443,887,884,441,024,905,
512,352,019,575,698,998,720,435,571,244,274,268,638,721,243,982,861,438,567,
264,171,185,709,319,771,127,269,119,021,841,311,894,614,570,776,299,344,615,
073,743,217,867,591,479,351,097,642,185,078,162,654,508,458,966,501,143,590,
467,372,644,469,813,406,791,309,046,490,051,450,117,750,650,918,934,757,372,
602,414,837,673,671,209,274,979,368,742,652,788,597,701,559,357,711,656,681,
606,272,213,815,653,628,452,710,998,538,953,154,073,755,873,990,206,594,542,
878,074,142,559,217,786,535,448,407,482,432,547,378,502,526,562,470,716,139,
585,040,833,199,205,606,591,071,281,378,963,678,937,399,905,285,768,919,658,
008,033,605,022,643,561,284,113,257,950,451,378,614,833,379,876,017,731,047,
820,330,263,304,397,273,811,288,171,537,936,136,867,304,418,325,967,885,902,
765,291,010,468,149,142,969,594,002,643,065,611,574,973,426,789,542,448,935,
213,496,775,745,776,494,736,576,568,035,076,730,018,971,415,060,656,833,686,
846,283,823,606,056,485,965,578,514,960,753,140,019,415,295,534,117,309,736,
182,232,560,034,291,493,213,037,403,319,458,383,757,466,431,263,266,509,723,
341,801,534,654,663,727,855,962,831,862,381,001,767,479,371,706,473,919,757,
634,449,305,731,987,636,667,777,117,549,145,597,764,981,593,040,867,376,372,
899,138,622,352,815,580,879,637,508,290,876,149,511,581,281,264,875,265,017,
524,480,361,767,082,793,769,939,271,040,863,479,428,017,157,541,585,636,957,
925,319,190,014,181,268,031,566,634,132,799,627,042,697,430,952,465,561,020,
170,082,124,506,857,126,528,047,534,237,250,579,586,365,288,904,668,701,960,
057,141,951,693,667,998,397,750,818,770,584,336,682,641,768,221,283,649,004,
582,032,949,130,690,416,426,812,036,121,499,986,306,947,011,845,500,559,429,
632,236,083,598,574,103,135,159,580,698,758,645,439,952,324,533,074,718,862,
042,748,454,978,036,863,214,240,367,639,732,463,129,678,293,602,903,776,280,
283,478,387,717,541,528,673,912,116,657,492,173,431,048,918,317,356,603,179,
514,183,904,737,713,129,210,584,103,196,807,993,279,025,465,123,294,223,038,
430,679,727,772,507,346,236,247,543,845,397,226,528,422,856,525,696,875,115,
773,812,308,909,764,947,829,939,295,050,026,171,564,581,096,910,688,931,238,
530,890,959,359,481,990,605,715,289,810,322,048,051,144,648,964,624,182,441,
585,800,029,987,656,768,456,757,579,418,216,114,522,984,600,220,477,416,536,
154,654,974,784,673,840,599,599,737,674,578,222,732,810,534,133,393,551,614,
659,510,218,062,493,480,968,153,016,648,496,616,122,561,244,949,923,224,750,
481,433,789,778,612,173,434,035,532,602,578,473,329,069,268,066,506,242,539,
865,592,381,932,103,759,244,003,676,766,010,244,868,260,508,846,177,713,136,
059,638,643,931,010,129,489,423,217,971,302,347,614,628,915,268,124,544,194,
088,546,927,797,476,708,819,243,904,858,699,051,972,761,941,958,446,057,102,
245,414,457,592,203,919,346,916,261,424,555,127,817,080,751,599,748,293,911,
089,108,661,317,987,745,276,750,408,492,921,878,127,223,701,911,046,878,121,
811,008,576,142,139,338,006,292,763,214,989,559,147,168,208,167,663,837,142,
651,438,776,044,423,582,056,749,361,171,627,995,782,506,446,175,862,336,135,
008,334,993,322,011,578,884,503,585,040,513,905,220,372,548,922,013,029,048,
083,225,456,877,948,381,415,400,243,406,208,471,975,675,293,526,058,822,476,
449,256,534,792,969,172,491,525,604,447,900,128,721,546,867,552,733,992,863,
247,657,906,340,919,539,497,273,831,722,299,461,324,700,970,489,256,507,961,
991,467,795,536,174,991,880,734,637,958,468,590,019,429,365,766,804,621,439,
290,390,942,024,210,301,536,673,415,489,456,115,059,903,262,210,430,638,186,
643,031,293,881,439,490,021,856,900,659,375,922,092,044,881,809,175,632,504,
169,042,243,642,686,394,684,932,842,604,683,846,467,167,590,612,606,435,695,
854,831,266,078,482,457,848,471,334,865,945,503,574,450,999,633,400,175,221,
700,752,218,012,423,755,903,950,990,233,248,870,619,476,508,544,103,818,548,
168,582,101,119,363,910,352,247,991,411,483,973,361,734,588,571,771,678,635,
585,423,555,803,098,054,464,354,461,693,384,091,866,730,912,542,969,860,946,
507,450,210,913,244,819,134,946,902,575,696,674,305,836,488,946,067,181,891,
503,328,398,314,397,223,534,569,169,857,432,003,643,916,285,704,931,886,195,
176,371,703,345,920,626,023,214,696,355,429,200,863,809,878,155,490,742,094,
006,954,176,086,558,296,484,571,080,175,041,241,031,332,714,596,330,839,700,
824,095,240,111,673,951,002,578,842,427,226,416,658,597,373,791,138,521,529,
695,109,422,225,731,322,883,239,109,482,205,743,287,989,054,997,345,103,105,
833,236,024,829,363,656,933,216,097,236,773,871,907,391,758,123,902,820,365,
282,595,569,233,539,415,664,980,587,519,254,032,917,334,585,256,875,913,125,
043,399,460,213,172,903,980,802,290,500,947,683,967,354,291,113,970,894,169,
197,148,182,017,743,155,406,622,861,659,901,972,599,212,117,109,189,854,357,
939,588,122,493,219,421,005,391,238,951,919,164,306,103,350,955,729,992,458,
078,491,736,982,141,605,865,241,060,565,443,106,545,561,183,030,142,213,679,
050,504,734,562,726,103,447,611,358,444,146,314,505,672,435,100,258,834,076,
522,345,736,305,828,715,942,708,475,016,382,820,484,693,742,566,194,687,790,
508,876,768,529,358,795,584,720,205,712,098,208,022,375,867,545,375,448,935,
319,063,117,587,580,539,808,921,171,400,157,607,292,129,154,773,970,804,940,
825,508,691,070,702,123,505,692,781,745,649,114,163,205,757,384,396,865,566,
727,734,590,630,354,409,273,456,714,249,834,862,341,577,978,523,448,563,900,
672,327,239,005,700,853,222,678,479,535,763,547,157,363,370,685,356,746,720,
760,255,784,181,286,676,804,580,613,773,047,639,141,519,067,779,962,182,834,
683,073,675,180,152,473,595,362,523,771,532,718,591,091,680,379,459,355,565,
378,882,322,362,396,730,649,048,155,219,811,477,838,133,869,671,836,045,994,
264,042,491,834,713,792,975,640,169,698,065,932,972,891,491,778,270,507,633,
768,409,753,152,649,521,894,368,954,576,360,629,614,663,960,564,466,693,639,
528,148,476,356,468,584,134,426,733,438,507,605,735,457,629,705,846,602,711,
919,890,978,994,592,911,898,507,693,115,067,939,772,389,003,352,491,728,991,
343,640,004,943,855,274,755,397,882,336,991,404,639,663,688,018,004,597,580,
793,000,143,793,231,972,299,059,214,291,860,788,076,865,593,745,445,666,263,
541,370,553,285,663,134,198,597,767,834,971,881,496,942,954,904,889,959,470,
788,848,892,916,484,318,670,003,799,116,571,759,321,400,373,374,669,766,841,
316,422,479,499,652,604,977,360,277,868,390,756,910,083,581,892,957,654,729,
062,811,208,701,183,651,974,009,993,592,005,607,826,341,890,738,399,294,484,
619,735,328,389,570,280,990,750,880,720,516,494,602,329,422,589,039,335,428,
966,623,286,866,304,377,580,316,686,923,930,995,745,111,188,522,661,014,910,
234,782,613,904,183,578,431,923,131,806,659,668,693,985,996,274,908,710,689,
013,552,186,551,976,773,560,487,757,930,078,883,917,082,207,022,382,081,676,
275,815,941,019,426,554,445,671,337,905,341,507,895,338,622,732,946,794,129,
344,137,908,955,128,395,934,717,539,395,701,680,920,770,440,222,125,870,915,
756,666,088,943,237,888,889,064,971,794,733,536,543,683,467,315,253,810,123,
875,068,319,024,296,649,265,941,195,665,458,610,998,655,848,623,333,580,807,
059,224,870,935,272,064,057,883,384,315,888,298,786,159,294,551,312,582,252,
873,074,754,033,683,415,672,246,005,530,940,296,268,300,889,930,670,637,078,
229,667,342,447,115,481,441,588,547,192,791,774,055,689,281,626,595,552,695,
646,644,735,970,254,719,475,824,772,007,474,436,282,615,475,809,933,317,987,
796,983,145,411,223,549,184,477,839,203,675,456,150,250,450,949,409,804,596,
549,008,715,206,562,470,863,879,694,985,655,762,374,266,381,189,164,188,877,
972,841,783,112,297,962,377,363,809,659,778,034,812,695,265,937,148,597,235,
650,801,610,182,083,859,112,026,002,890,757,630,022,806,614,731,013,588,117,
328,486,782,151,880,814,968,790,500,185,668,218,932,514,538,398,848,770,186,
747,684,575,924,433,398,180,156,272,890,497,483,424,482,249,959,008,273,491,
496,950,713,811,958,292,536,214,455,791,239,270,995,186,107,194,387,038,610,
673,335,991,727,322,575,350,533,139,452,526,399,975,668,552,188,323,481,935,
952,679,333,203,454,469,724,979,988,584,045,895,645,653,098,532,875,601,421,
636,102,422,287,916,476,651,625,112,745,881,284,350,295,183,611,395,808,483,
893,393,753,074,352,876,963,126,091,040,832,502,761,860,611,945,933,252,380,
599,635,074,149,737,517,010,213,811,809,263,524,777,481,286,363,398,712,652,
405,777,527,889,814,437,442,649,228,216,453,041,823,703,675,742,192,251,181,
455,514,058,063,395,674,006,877,877,455,182,815,818,363,368,932,103,919,737,
759,474,623,539,290,612,248,808,043,660,900,561,467,239,166,487,282,040,232,
488,198,143,444,119,793,397,611,521,994,275,361,403,743,214,613,600,571,897,
832,278,758,889,869,889,615,467,148,208,976,865,519,453,854,815,244,702,437,
873,694,066,670,827,710,239,616,238,672,667,922,217,193,535,906,766,503,692,
140,304,209,084,370,998,634,545,416,491,034,764,790,275,882,885,532,657,887,
697,347,053,281,195,571,420,250,870,822,267,509,902,829,348,912,959,667,201,
277,102,207,295,498,767,668,912,247,233,785,230,967,355,240,791,944,489,341,
571,212,905,717,800,044,168,434,715,845,032,712,167,022,118,162,128,325,100,
555,779,786,378,361,065,530,540,892,673,267,571,497,981,516,885,523,245,028,
756,931,072,911,475,782,514,110,196,273,074,621,887,887,154,459,241,593,432,
976,449,832,123,267,879,509,169,494,213,195,434,549,219,571,132,339,901,456,
770,121,137,718,323,658,253,735,699,079,830,255,779,464,242,638,919,828,756,
280,494,738,515,630,790,582,093,895,773,584,118,813,116,450,521,315,650,337,
939,860,700,944,441,502,748,740,045,330,671,261,947,097,261,536,661,192,615,
060,610,657,824,022,999,762,170,618,109,649,935,590,833,305,150,653,959,242,
096,053,863,353,861,961,592,149,628,911,644,291,393,491,217,766,972,765,677,
888,132,826,199,854,026,003,319,763,195,961,207,175,993,412,913,906,266,456,
081,067,396,673,911,947,495,728,400,698,914,610,494,116,516,082,084,453,708,
562,527,557,849,242,289,979,328,840,714,483,982,527,844,904,469,719,068,193,
657,491,218,059,668,198,992,208,354,290,681,347,378,144,270,037,007,334,910,
408,125,520,421,332,044,179,980,692,035,176,951,467,228,979,993,083,331,658,
624,037,909,074,762,964,029,072,008,980,280,289,760,940,177,663,037,651,277,
023,301,713,276,434,628,232,280,169,839,223,660,633,792,103,140,146,770,371,
379,317,349,916,370,561,559,454,136,444,791,739,132,241,671,712,531,217,602,
033,200,668,762,792,737,537,293,706,772,346,446,262,892,874,076,520,327,715,
061,466,319,521,365,763,716,444,472,560,235,230,584,072,978,001,188,954,783,
438,176,225,887,713,754,612,140,816,847,951,046,659,684,679,226,902,443,101,
126,748,956,028,167,602,313,305,748,531,409,656,942,712,182,065,343,364,289,
850,740,370,779,626,579,617,857,965,458,233,298,680,892,885,493,194,841,084,
102,164,459,367,913,164,101,512,281,547,413,278,459,178,657,741,021,898,407,
229,888,313,977,180,811,198,156,270,197,114,596,894,304,269,463,814,392,824,
260,757,670,364,093,589,403,357,440,054,323,943,245,945,928,323,408,979,032,
438,659,993,020,194,580,963,673,077,769,486,722,028,676,549,243,627,330,193,
323,505,459,140,370,144,171,430,204,980,140,809,646,621,173,493,391,855,855,
208,676,608,308,933,243,182,899,044,141,046,769,309,342,571,669,689,255,443,
915,994,676,017,625,311,990,262,864,297,306,332,493,989,378,744,295,284,119,
071,121,515,562,805,366,005,689,342,527,123,561,992,426,507,985,865,094,085,
138,688,961,836,664,391,766,948,373,314,269,091,612,768,308,212,442,679,314,
416,363,044,077,023,706,747,470,341,534,508,712,261,515,841,108,598,350,482,
400,663,214,807,400,283,595,668,790,880,433,730,266,729,980,429,821,181,119,
947,200,652,688,879,729,514,702,922,608,064,524,344,195,952,391,942,966,441,
293,018,376,406,913,062,429,699,611,189,531,583,447,156,023,634,211,604,800,
738,354,947,952,434,867,649,441,557,771,217,716,488,208,011,260,685,463,779,
716,630,961,889,612,903,292,413,012,979,908,537,926,756,470,256,772,997,636,
786,382,044,973,820,360,739,837,071,861,412,458,997,936,050,727,313,148,817,
559,778,535,534,693,728,182,178,126,293,144,259,850,857,928,384,263,068,850,
224,162,870,327,217,549,264,200,583,025,593,925,011,743,202,222,791,701,861,
596,602,938,823,405,573,698,686,180,565,185,163,019,817,265,630,094,721,608,
253,903,834,868,671,357,881,561,687,659,677,264,292,536,888,806,242,747,718,
097,684,438,693,257,106,519,935,505,368,599,211,827,984,164,750,492,629,978,
275,828,286,981,621,681,220,367,480,057,624,490,385,951,599,838,291,708,838,
113,079,620,071,376,742,358,715,843,696,416,109,800,451,447,114,808,842,921,
738,444,596,366,987,671,277,334,213,746,986,913,885,440,091,067,178,069,134,
891,615,093,489,483,825,500,737,048,408,071,799,542,495,766,287,688,189,243,
100,131,236,806,862,019,732,951,609,078,759,667,935,821,039,118,287,654,578,
067,676,694,054,205,726,345,732,521,843,451,370,235,261,910,091,055,660,127,
493,699,746,093,351,835,353,289,230,259,566,757,556,480,539,298,952,958,866,
594,485,037,758,924,326,550,714,661,677,691,179,391,302,343,000,512,746,414,
602,279,149,792,638,661,868,283,289,084,681,555,346,125,941,479,641,702,859,
938,379,415,900,838,949,010,502,051,964,156,956,695,785,999,056,567,221,603,
046,599,254,841,146,794,784,395,715,625,538,331,852,532,113,102,377,446,051,
805,665,637,147,535,418,106,446,830,268,554,514,532,048,378,686,937,898,397,
491,496,274,800,652,939,451,326,498,214,873,652,817,509,077,752,069,936,030,
414,838,238,713,740,980,305,304,960,811,641,999,341,739,045,783,452,955,046,
327,956,683,136,464,054,609,636,415,950,231,299,552,772,190,683,045,131,004,
359,227,937,685,112,475,359,089,720,636,302,081,871,699,035,869,457,314,837,
780,138,556,146,266,968,279,213,307,333,893,958,223,999,582,584,011,104,326,
883,421,778,349,270,458,846,734,775,950,147,264,242,034,524,797,143,951,547,
673,537,635,510,727,380,225,390,490,554,100,823,392,501,757,675,081,721,366,
341,507,023,977,380,613,124,687,122,732,513,846,327,043,108,879,090,751,287,
342,251,623,487,782,054,105,733,203,642,615,570,579,527,340,538,485,358,209,
718,232,755,050,438,127,901,585,639,507,756,717,904,037,997,030,614,563,040,
200,852,490,205,768,617,303,078,467,644,464,674,939,738,398,775,762,174,507,
335,100,300,827,638,874,719,735,712,281,260,788,477,250,463,896,912,804,756,
879,576,216,797,505,218,458,548,523,143,023,090,630,527,675,428,460,814,177,
634,068,891,299,600,858,551,233,480,322,783,198,065,881,882,529,945,245,787,
905,469,849,336,686,733,650,112,429,018,899,402,965,278,612,029,042,420,401,
305,917,136,344,796,001,879,766,817,030,156,118,714,550,989,975,283,084,436,
539,147,861,864,890,272,076,380,524,987,540,286,220,945,519,270,082,694,120,
199,873,747,052,215,272,146,276,629,942,332,326,260,358,017,767,334,521,312,
232,640,008,734,439,076,036,928,566,625,744,259,437,445,448,123,439,286,121,
328,173,146,229,376,334,134,767,347,685,990,811,767,466,492,311,010,333,981,
895,792,774,088,508,150,036,227,173,314,721,326,162,114,091,245,572,676,533,
938,073,008,449,295,832,381,688,980,304,296,057,094,289,764,673,079,144,427,
675,936,988,735,452,810,668,515,448,766,306,682,375,503,426,247,334,334,248,
121,203,807,329,006,365,050,539,377,505,307,045,035,908,826,060,062,598,071,
640,313,231,858,495,364,645,663,211,636,036,095,382,591,855,783,695,331,002,
011,071,626,378,177,767,904,660,759,332,932,751,151,730,969,346,852,196,313,
431,899,250,795,811,660,401,525,657,221,924,360,011,766,628,381,965,838,186,
738,489,381,440,049,770,633,959,519,483,801,924,975,952,081,148,667,294,440,
435,562,651,782,539,103,148,663,827,359,051,308,449,845,998,489,797,161,578,
438,627,079,183,393,056,286,666,450,751,509,882,226,851,666,124,118,143,775,
653,051,022,344,185,401,937,874,520,626,413,418,501,559,650,615,021,148,365,
905,180,400,040,966,932,245,876,190,778,077,501,983,786,206,269,490,019,888,
118,756,700,266,711,454,828,329,417,943,311,954,753,974,654,984,480,549,548,
226,862,022,686,684,991,458,594,277,101,612,910,508,390,530,571,885,771,323,
007,707,318,905,005,544,249,729,714,047,089,959,108,822,737,209,479,763,027,
251,886,032,676,012,138,507,538,588,337,837,423,309,268,934,079,170,413,392,
615,360,413,075,457,495,008,681,815,445,687,483,048,171,929,096,630,517,511,
642,352,851,368,706,092,626,443,756,724,641,685,013,482,209,806,779,684,336,
902,806,257,354,058,730,092,889,987,061,964,282,772,076,008,532,983,219,223,
048,035,450,964,518,354,262,788,245,519,477,833,987,088,428,551,638,965,324,
872,819,058,230,282,852,989,578,873,782,617,025,194,687,251,096,460,576,158,
345,051,008,387,390,694,287,538,546,631,728,939,193,849,718,501,874,920,908,
178,923,131,975,072,253,757,877,256,720,287,736,829,180,221,076,947,856,588,
594,692,923,582,966,331,581,777,444,197,165,358,155,539,353,516,735,597,851,
743,550,126,400,449,712,487,031,534,550,112,873,291,718,592,160,430,722,993,
816,051,757,925,606,872,410,317,639,107,729,955,016,340,575,932,200,704,480,
631,109,213,047,087,214,668,976,204,454,083,664,948,376,640,743,738,263,766,
852,163,296,863,464,338,090,100,543,774,806,548,909,829,436,810,473,809,698,
504,995,343,536,136,334,661,079,173,549,973,268,695,463,139,847,321,109,161,
463,284,899,146,055,822,764,175,932,953,026,860,830,977,960,417,920,709,626,
013,034,814,271,004,836,197,303,152,720,135,300,490,703,324,313,914,065,045,
102,074,185,675,066,587,489,688,030,848,708,838,500,336,139,996,496,686,264,
465,121,764,502,222,708,908,045,486,243,548,628,461,195,926,561,859,840,988,
416,903,076,625,325,405,425,815,139,757,205,138,949,515,817,464,386,721,449,
439,849,381,123,566,076,287,546,087,156,713,219,566,588,604,865,442,782,408,
128,654,176,853,087,482,717,269,184,159,875,278,894,437,789,524,781,109,266,
930,292,774,785,918,693,960,998,166,824,021,224,335,819,299,962,269,507,349,
326,739,272,444,358,914,470,476,449,536,165,869,186,657,657,193,142,163,266,
252,193,825,812,253,906,441,993,354,406,631,301,664,398,538,399,419,588,832,
857,598,122,581,286,275,575,226,915,743,080,597,089,962,176,287,267,438,266,
247,026,444,139,634,354,212,049,453,656,909,606,836,403,353,272,639,899,450,
497,271,631,867,376,177,841,845,152,733,940,828,315,681,606,155,015,891,209,
821,432,053,280,820,171,622,126,583,907,936,118,971,150,373,716,003,000,999,
270,193,302,484,244,834,367,323,802,996,205,373,452,499,513,141,558,212,399,
280,031,743,414,765,721,405,919,492,779,362,702,944,856,944,890,883,041,378,
442,074,898,885,712,971,108,866,745,941,162,051,299,962,312,441,628,514,432,
786,343,071,927,289,424,754,711,033,162,366,654,950,685,001,624,079,263,257,
590,131,463,846,079,357,476,008,185,034,620,285,361,256,944,085,205,130,569,
502,952,004,392,820,668,917,450,174,626,542,547,972,366,563,388,393,674,900,
061,800,395,824,542,447,338,678,967,529,900,978,839,542,902,859,724,594,505,
842,170,387,790,800,539,757,497,091,731,286,693,460,449,825,137,351,185,396,
525,598,180,646,429,517,676,213,048,748,645,749,811,729,545,544,015,054,131,
797,588,682,933,917,414,930,402,507,351,501,550,851,123,266,072,750,713,321,
690,444,775,960,271,238,955,822,361,618,840,111,802,388,759,602,555,976,261,
979,680,314,207,142,593,974,372,022,680,626,936,394,823,645,681,063,456,697,
258,440,820,664,455,626,495,397,762,549,649,476,287,749,600,954,536,385,711,
683,542,138,939,206,765,275,286,446,612,241,835,864,309,990,111,509,713,673,
774,893,016,283,855,041,232,887,955,730,715,990,661,383,044,340,639,611,534,
288,187,887,710,984,983,937,575,274,117,337,123,761,657,709,216,029,221,848,
504,058,092,333,479,289,597,440,125,117,627,913,915,545,851,494,486,387,417,
277,783,375,457,316,184,812,499,157,702,405,816,393,826,388,225,143,066,225,
105,308,595,941,838,865,815,073,255,795,539,317,105,214,325,950,005,252,482,
996,555,998,520,428,309,882,859,731,338,722,693,797,592,678,365,220,564,696,
896,153,748,320,212,520,935,720,540,346,640,449,742,015,796,587,555,443,277,
573,226,973,643,726,119,688,167,867,153,488,458,722,766,889,091,991,162,651,
527,165,573,097,856,273,896,965,556,690,627,764,785,842,196,820,937,862,974,
597,890,650,400,483,630,514,210,588,713,774,560,782,937,303,988,411,244,506,
895,241,738,556,651,188,551,073,991,970,945,379,312,452,335,458,419,186,092,
559,615,957,856,317,295,516,431,227,869,860,358,408,826,865,580,093,420,394,
529,534,712,137,322,689,159,532,366,101,291,032,953,507,627,924,148,878,173,
095,536,580,688,591,255,579,973,878,185,196,393,479,916,747,270,206,110,696,
966,381,999,738,411,256,221,775,068,900,693,918,107,414,996,812,445,892,622,
409,733,077,158,734,090,043,010,093,979,440,757,152,123,718,712,804,548,477,
813,555,291,741,753,867,403,179,079,469,031,169,352,046,289,842,412,935,762,
523,374,407,279,959,151,074,810,805,266,940,696,563,910,198,472,712,091,703,
963,899,301,562,335,526,110,065,544,429,275,796,415,962,074,649,374,322,460,
392,220,982,044,048,786,699,095,440,630,138,239,020,943,856,222,647,713,688,
902,546,508,793,628,515,443,216,834,234,106,809,403,507,688,342,006,769,219,
596,274,320,829,280,877,541,964,086,328,490,034,512,204,893,631,323,394,302,
469,466,966,699,933,426,288,570,220,105,734,274,120,599,167,662,160,846,211,
299,191,018,898,985,295,937,238,714,959,034,206,812,183,985,434,298,301,472,
820,869,113,413,369,046,388,279,843,197,441,959,059,080,154,157,171,528,016,
535,012,278,870,930,854,462,764,336,474,392,126,468,154,242,816,738,753,584,
160,742,986,544,568,177,225,786,499,077,583,200,358,904,476,613,299,309,562,
863,433,291,240,436,388,078,702,024,686,485,845,604,153,198,071,897,812,875,
480,970,544,831,560,139,951,791,174,616,864,663,238,253,609,550,963,748,992,
671,615,087,798,569,275,514,824,424,182,609,136,350,858,163,499,344,320,308,
582,071,675,300,756,303,005,687,714,735,644,094,729,906,201,267,610,557,384,
772,320,457,298,198,430,729,987,731,247,288,691,148,079,844,689,893,906,886,
869,860,766,766,720,417,813,347,387,601,232,035,838,375,650,512,637,940,712,
391,485,211,074,937,734,436,942,912,627,938,907,595,572,889,764,249,824,498,
547,638,327,841,225,489,887,397,067,565,125,962,758,014,394,409,701,660,766,
441,756,897,353,895,827,442,319,186,730,220,775,046,553,742,200,302,016,932,
735,027,869,780,888,178,712,201,937,443,652,413,063,299,600,083,061,037,172,
330,340,073,344,129,480,558,209,716,035,170,290,391,249,382,937,629,378,830,
501,584,823,023,550,638,179,840,247,750,397,185,416,346,246,261,477,629,817,
733,008,737,250,853,183,985,755,555,541,062,752,070,938,784,776,772,788,308,
016,616,737,188,581,298,053,342,764,459,871,115,718,408,478,507,120,427,956,
460,436,933,133,061,301,133,405,721,622,179,428,024,827,946,800,734,259,807,
082,561,976,592,737,091,934,129,819,544,041,200,815,728,488,992,329,833,094,
441,093,554,816,860,330,284,329,498,641,883,503,141,496,906,571,351,286,015,
440,478,844,906,562,312,855,604,674,750,117,543,999,016,885,601,716,669,180,
645,452,123,079,085,945,788,347,131,067,938,362,119,460,297,026,300,634,202,
042,836,618,063,580,058,890,279,864,145,397,621,310,618,799,633,396,411,799,
231,156,256,682,011,651,899,907,504,382,795,747,940,037,574,746,983,364,048,
979,102,956,034,989,394,098,475,950,610,004,806,976,427,696,358,043,950,993,
930,518,953,044,090,458,313,991,601,813,657,400,570,410,121,996,914,666,640,
603,429,569,651,955,381,154,388,085,981,525,590,465,247,529,144,213,127,122,
904,539,333,842,256,321,083,464,463,675,667,577,047,441,807,092,379,975,843,
703,346,223,947,634,429,455,931,376,246,796,938,524,195,281,178,732,906,075,
831,064,761,603,059,578,201,353,597,032,269,465,857,119,931,538,402,741,107,
567,698,500,880,815,938,212,161,702,902,612,343,108,684,076,207,480,010,894,
365,387,494,783,256,737,685,777,691,039,598,227,902,535,215,298,884,699,303,
211,639,018,780,342,264,852,611,670,095,951,096,752,516,407,035,310,937,314,
265,956,793,450,531,301,777,379,489,971,581,349,690,158,862,971,565,401,268,
145,664,848,525,393,233,195,976,870,909,517,541,471,460,495,208,846,865,896,
923,501,593,229,117,259,997,013,538,924,975,572,159,101,974,389,013,213,121,
272,316,452,209,847,754,859,975,643,106,857,887,291,857,589,459,973,623,613,
119,354,613,884,764,314,466,431,429,040,004,678,466,044,807,577,564,453,140,
117,666,413,115,578,646,108,283,713,492,182,466,999,993,132,894,668,374,061,
073,541,540,307,443,853,731,360,521,742,365,846,040,521,889,072,388,420,587,
917,883,843,284,930,564,077,045,787,740,632,979,115,381,514,298,561,683,361,
621,365,355,575,405,953,100,019,578,121,719,738,622,484,284,725,231,884,925,
757,064,860,542,429,084,474,482,748,724,594,208,470,359,078,694,878,617,492,
724,124,042,305,426,631,657,048,066,190,554,744,541,288,784,461,705,393,576,
349,912,271,189,977,892,513,852,923,640,730,969,943,722,932,035,279,075,790,
332,536,725,399,441,986,303,293,513,542,015,862,484,487,787,691,132,327,823,
965,409,483,346,079,265,530,545,876,158,410,711,414,072,611,504,401,349,693,
836,904,387,307,194,331,923,603,252,167,557,489,557,254,005,747,307,995,205,
449,412,214,558,612,822,139,621,292,583,575,061,118,949,789,211,414,840,397,
485,321,963,313,705,522,497,371,342,803,779,442,432,548,201,007,376,059,924,
290,722,031,429,155,727,601,416,069,844,237,788,117,606,160,511,395,256,931,
238,213,044,290,753,869,518,359,352,196,453,383,236,597,551,267,898,275,209,
557,304,699,432,795,952,362,581,351,156,611,705,227,786,389,762,583,645,184,
762,186,346,876,989,464,619,183,353,976,512,249,256,717,337,474,565,611,116,
246,072,092,385,668,844,744,928,674,672,677,600,538,081,894,489,222,958,623,
521,858,492,068,525,838,467,215,554,754,780,800,577,869,340,054,889,088,337,
330,267,485,515,858,504,707,042,287,496,984,907,517,537,516,554,690,932,551,
042,357,461,770,488,860,532,942,171,016,892,286,477,567,264,066,741,942,936,
662,681,308,401,998,643,697,698,209,701,804,849,807,063,281,892,406,801,454,
830,872,932,573,342,490,239,987,908,006,477,779,629,495,186,619,563,900,710,
280,105,253,470,802,920,012,726,133,091,694,183,155,663,566,983,269,257,634,
351,037,621,185,068,695,893,492,034,653,884,337,046,217,659,506,675,257,851,
836,926,288,060,415,143,266,324,555,805,343,594,347,364,806,728,627,142,885,
604,744,367,759,692,493,990,148,710,070,411,201,155,505,409,435,056,288,929,
387,286,781,429,123,508,017,695,158,145,984,869,824,895,886,874,512,225,191,
346,401,086,966,950,817,973,040,023,864,494,064,099,691,682,766,577,983,912,
590,447,295,398,443,975,430,206,052,862,271,927,657,172,854,036,490,549,248,
609,379,987,777,209,875,850,120,667,728,404,156,710,936,485,901,378,583,644,
475,744,186,913,771,080,448,327,301,561,789,927,218,947,601,965,722,762,264,
459,380,875,804,336,361,596,841,364,048,715,608,944,875,613,711,220,501,453,
363,201,103,916,301,603,730,389,729,105,088,521,550,666,102,557,433,253,202,
169,853,694,096,109,885,242,130,525,735,413,719,480,683,322,573,886,671,144,
028,952,781,007,963,656,896,172,907,305,578,538,789,438,446,570,795,965,151,
665,851,840,283,590,965,489,373,497,512,256,098,133,484,572,073,843,068,621,
006,793,853,875,684,010,108,851,610,613,612,017,770,867,318,740,330,661,286,
417,313,665,873,724,006,916,335,829,764,025,797,221,145,735,161,382,640,521,
361,666,348,256,631,078,495,581,626,371,305,338,745,757,739,187,621,870,437,
804,864,748,365,313,777,203,855,340,247,177,729,046,561,921,144,044,395,620,
894,330,688,217,062,851,318,652,440,371,653,060,002,295,182,060,222,073,406,
285,683,030,561,025,554,504,726,288,033,517,228,165,904,767,330,976,222,692,
126,009,141,103,039,393,146,096,266,843,803,943,109,390,005,102,704,468,001,
207,831,858,955,138,194,516,800,657,467,281,988,211,272,189,839,229,789,758,
576,380,917,388,340,251,045,748,090,185,796,611,176,632,053,205,140,518,889,
872,073,329,721,158,757,348,968,861,134,289,169,565,268,554,665,728,399,189,
870,234,281,134,769,196,118,651,181,740,437,233,085,452,759,725,965,981,952,
482,999,167,189,969,458,528,289,847,596,494,777,895,129,052,301,071,439,692,
568,951,869,475,827,151,903,940,741,104,179,652,955,661,951,725,215,013,659,
660,980,922,977,472,800,433,471,332,166,772,550,460,973,198,295,622,017,911,
807,231,922,886,414,662,261,605,704,724,416,124,082,701,987,462,276,776,823,
441,165,013,880,017,688,169,223,598,388,336,736,496,396,325,378,984,338,652,
221,107,854,248,406,711,667,889,312,580,759,386,765,781,267,915,211,603,144,
905,172,493,150,481,292,514,671,761,665,993,924,016,818,278,360,460,038,479,
846,492,771,203,225,479,563,534,920,162,738,029,383,234,106,844,079,310,005,
421,412,575,006,857,365,600,579,283,208,954,458,250,550,639,893,669,048,044,
954,253,461,105,491,869,537,807,019,633,490,655,240,904,448,121,684,615,445,
159,349,124,089,399,733,320,433,661,626,806,942,093,836,630,699,558,320,316,
267,019,708,280,840,302,325,448,055,507,441,132,171,234,099,584,724,621,417,
925,713,921,401,867,938,348,847,822,729,280,585,490,705,078,438,059,469,491,
244,899,284,487,784,486,360,142,805,107,761,582,539,208,006,738,091,286,033,
672,758,344,356,413,903,908,861,895,529,360,106,721,470,894,965,305,741,610,
559,190,984,369,911,511,199,365,595,097,798,970,067,078,200,785,217,330,594,
121,511,190,859,382,162,187,281,822,477,845,308,959,961,899,638,090,018,279,
610,370,860,998,604,132,540,816,018,502,102,816,262,382,635,453,155,390,607,
351,005,477,460,867,542,867,310,964,642,364,159,924,233,723,300,615,192,888,
389,713,033,841,707,042,977,452,135,559,550,543,149,576,550,320,037,246,623,
028,249,272,978,553,444,328,576,957,005,605,146,923,919,861,606,914,403,550,
279,257,929,239,854,112,117,871,728,325,641,605,614,109,876,787,643,938,523,
807,713,631,166,280,351,779,537,642,522,945,899,442,466,764,434,183,408,363,
081,069,667,954,925,398,789,014,919,969,134,580,597,095,171,402,949,874,245,
147,931,825,474,147,127,239,383,633,783,015,754,232,454,671,485,925,130,248,
197,310,561,024,158,710,947,927,875,699,852,320,875,747,286,520,985,034,054,
076,318,601,179,812,589,760,506,574,024,211,809,168,970,673,347,367,672,803,
896,393,512,890,547,595,571,030,361,112,802,259,018,972,702,776,875,672,421,
517,531,260,465,896,227,790,783,926,539,603,506,842,655,771,628,851,517,885,
382,218,721,530,389,853,944,744,749,234,003,873,527,361,492,466,553,951,928,
390,506,815,216,960,318,233,824,340,753,439,117,652,429,132,659,801,081,217,
103,685,019,670,471,368,762,082,061,150,510,208,545,192,897,158,266,600,545,
421,772,317,325,138,412,663,467,742,797,795,526,181,102,655,201,571,574,808,
714,428,269,263,934,423,530,458,012,055,504,468,081,018,370,557,616,323,488,
403,002,773,274,014,578,213,198,143,647,028,255,253,013,079,934,518,784,322,
433,182,819,867,773,792,281,809,717,887,784,914,327,156,578,387,253,829,805,
553,150,513,765,175,217,820,541,992,977,820,373,869,543,644,902,357,589,758,
306,815,169,126,743,647,333,276,265,551,186,300,432,154,309,494,227,674,460,
043,713,715,596,740,849,243,851,156,779,362,399,791,740,044,278,098,961,847,
915,659,261,545,008,292,676,884,130,583,744,923,030,122,825,584,944,421,163,
725,157,666,235,276,361,160,348,694,376,719,231,071,392,918,436,018,302,183,
949,142,662,305,002,576,314,304,108,107,167,394,444,289,000,258,668,108,417,
627,757,250,665,580,471,823,367,523,511,293,882,450,153,190,214,314,010,454,
895,077,326,211,283,408,023,784,703,762,555,162,411,653,229,658,075,263,986,
389,358,657,772,861,916,955,101,493,290,689,832,810,084,709,678,620,844,647,
394,254,901,785,330,571,283,135,948,938,625,550,413,888,046,079,197,910,106,
363,705,492,014,685,847,687,491,903,923,112,232,668,310,989,841,678,138,346,
728,589,720,695,224,371,415,501,619,471,513,185,401,265,651,271,521,535,918,
234,204,714,125,709,518,885,975,621,502,867,775,064,567,685,423,764,171,634,
294,412,465,448,420,857,468,122,572,648,324,798,168,087,199,997,079,590,241,
996,520,988,801,193,941,759,967,291,641,307,889,218,178,272,245,358,439,493,
792,478,303,721,803,791,516,518,805,823,937,172,923,461,873,745,011,444,028,
843,832,476,491,636,063,244,406,367,955,569,684,349,654,865,933,164,582,766,
939,143,051,832,413,104,254,549,600,516,268,051,970,819,270,663,922,254,860,
315,196,765,694,603,126,852,869,407,877,521,240,959,147,071,038,386,275,929,
863,177,749,722,690,313,507,169,698,870,731,709,627,847,216,629,810,957,769,
771,637,759,429,866,284,178,735,682,905,674,220,753,135,524,448,753,375,740,
236,919,999,985,877,245,894,736,759,346,172,453,391,105,731,707,794,986,626,
138,072,124,013,038,388,408,676,491,993,875,487,515,557,496,008,805,502,717,
206,858,595,908,915,517,207,074,125,393,227,064,981,336,988,638,073,682,366,
351,960,181,614,401,203,020,406,979,576,778,712,046,673,885,815,026,857,414,
558,817,735,509,767,941,723,790,762,781,608,724,939,968,507,779,225,542,338,
689,857,670,081,672,000,610,887,181,424,795,075,303,299,677,744,381,004,616,
962,868,501,651,406,913,247,975,945,139,717,175,906,354,971,808,918,913,044,
617,371,775,922,245,194,445,972,548,873,622,335,662,184,990,480,311,983,946,
660,737,722,810,543,498,283,177,977,200,154,280,730,654,910,155,697,391,221,
145,780,920,871,320,482,936,636,175,771,921,313,610,999,743,732,867,567,338,
296,108,302,061,798,432,157,235,354,990,005,061,746,629,330,188,906,253,869,
364,687,584,785,304,767,021,201,220,516,905,776,077,368,895,873,190,351,223,
351,160,676,707,927,006,752,555,983,578,949,978,877,776,816,753,734,129,542,
944,764,955,696,608,867,575,994,527,250,678,006,533,869,986,564,180,638,295,
316,047,316,742,680,612,384,906,185,896,328,049,577,578,793,468,685,006,241,
427,055,131,689,518,722,100,385,495,662,257,293,926,219,591,057,897,957,992,
857,160,142,020,604,330,734,921,298,478,127,408,864,251,896,063,808,585,348,
665,312,925,906,369,090,361,315,397,150,941,895,324,264,310,264,638,129,713,
258,077,043,444,205,775,005,478,194,999,528,002,903,602,541,033,036,798,278,
264,566,415,300,988,498,518,826,561,582,157,923,380,173,749,728,118,324,561,
151,833,628,568,272,537,849,326,676,915,115,798,227,291,835,333,533,093,933,
746,731,486,076,685,080,797,774,096,380,140,927,857,007,064,391,643,341,643,
109,031,784,611,170,555,348,978,021,208,407,536,175,095,765,401,621,524,001,
797,938,794,137,099,574,955,598,805,494,669,111,053,350,745,090,727,781,200,
385,855,194,585,967,520,194,111,751,715,001,942,424,399,866,607,149,841,023,
889,756,154,433,448,036,055,048,347,899,957,734,164,224,150,431,732,199,015,
783,567,091,562,837,781,437,176,778,627,212,113,133,991,593,134,608,488,850,
516,414,635,471,554,203,702,080,849,584,012,607,036,687,960,317,693,112,010,
282,207,901,899,957,095,365,316,281,926,797,003,606,585,182,140,183,699,276,
825,272,656,333,887,379,706,303,226,918,000,949,608,045,055,016,927,819,255,
539,771,311,012,218,392,759,446,669,088,740,142,599,364,161,971,309,384,431,
167,816,367,485,793,072,467,105,752,477,926,363,021,054,167,337,559,168,473,
961,416,635,269,828,184,655,193,413,580,906,775,986,231,580,284,443,770,389,
305,079,369,582,073,002,560,690,749,546,682,790,992,518,650,412,772,601,596,
628,870,695,514,203,513,709,936,917,189,115,684,078,330,337,407,283,367,746,
076,701,697,188,180,431,288,982,838,254,610,551,351,588,043,959,729,199,373,
412,712,341,644,875,864,649,586,291,532,436,771,563,464,321,724,211,714,254,
660,129,734,779,214,854,120,251,544,090,669,162,944,115,093,105,734,007,069,
573,330,154,505,336,255,423,663,047,104,569,744,097,380,273,784,303,258,587,
340,721,510,411,957,237,334,959,908,894,884,195,903,595,273,499,462,646,622,
148,968,934,571,196,281,969,830,864,497,665,780,959,794,460,233,033,736,776,
621,675,076,684,307,175,261,817,303,085,354,647,196,121,617,432,321,243,953,
390,197,558,776,103,824,572,895,244,720,705,219,812,486,316,404,762,504,387,
800,545,820,013,458,648,961,964,053,370,669,638,524,520,796,798,568,285,308,
941,173,043,097,766,915,548,810,824,609,001,544,512,545,293,055,354,293,475,
278,816,027,428,297,464,553,545,065,088,767,281,194,805,806,050,379,782,126,
041,777,218,082,184,575,389,231,571,472,231,628,820,863,193,417,640,839,601,
503,868,735,510,908,382,182,605,086,229,064,339,474,877,865,596,750,411,304,
608,249,545,428,248,659,227,004,233,378,653,146,649,194,022,956,640,121,280,
728,897,385,503,764,782,650,301,634,417,848,285,524,011,623,560,563,657,239,
000,579,289,326,008,894,743,495,094,892,989,029,793,423,786,354,691,791,706,
556,944,321,938,445,250,341,539,480,355,950,452,958,782,334,365,425,871,051,
691,228,670,387,500,012,927,701,476,424,341,667,973,161,067,329,436,153,978,
944,914,598,956,285,368,708,795,768,043,943,816,652,312,329,962,254,481,533,
805,132,743,695,258,872,838,334,927,463,259,352,286,292,832,414,446,593,867,
480,560,894,351,013,793,821,753,497,771,002,220,904,640,942,768,400,092,738,
425,306,668,186,364,499,063,640,049,016,709,467,983,866,940,983,130,929,626,
005,242,414,124,032,898,594,389,369,647,889,385,777,370,862,578,008,965,329,
353,154,345,829,434,434,045,876,711,028,315,019,526,960,756,963,990,916,242,
874,702,333,553,049,389,795,597,452,766,797,653,083,608,424,741,743,218,374,
207,072,905,714,841,596,848,386,787,953,301,573,632,866,137,728,746,642,620,
531,069,638,363,592,883,552,398,028,621,614,937,822,571,112,265,767,536,848,
396,262,864,599,130,032,065,591,236,196,181,720,757,553,323,267,800,432,295,
707,246,302,266,366,217,388,855,607,133,332,853,974,774,850,442,172,742,653,
992,959,820,969,764,956,277,541,495,327,304,331,060,957,617,899,758,721,531,
594,722,126,562,175,585,994,907,699,546,345,503,144,769,810,951,348,256,354,
169,261,536,191,663,643,140,830,227,071,029,581,712,330,425,272,405,787,558,
300,665,357,466,609,882,667,806,270,662,341,887,947,418,778,605,651,451,457,
333,106,010,876,931,335,379,710,045,704,625,628,715,953,289,308,245,836,803,
223,401,594,537,647,451,800,523,924,669,030,986,950,832,509,056,368,174,599,
134,397,835,794,723,154,448,003,960,311,731,253,731,011,743,465,205,364,618,
327,116,713,239,763,466,111,021,278,829,713,319,924,447,204,550,327,599,467,
489,303,746,125,473,267,435,095,807,842,588,007,340,054,025,161,129,883,153,
120,557,577,969,345,491,911,903,606,695,848,838,169,982,469,685,330,364,919,
499,358,748,202,793,875,466,714,059,245,590,569,356,170,874,024,241,531,507,
175,448,409,587,636,998,433,736,736,686,345,139,304,816,890,987,789,552,831,
772,895,468,485,468,350,933,802,705,047,969,096,195,691,301,583,209,812,355,
660,224,291,435,329,710,263,844,746,331,794,990,427,159,480,909,934,397,538,
113,830,200,002,799,673,517,363,272,440,050,900,407,180,196,044,968,508,370,
229,875,477,037,079,161,085,340,841,685,856,126,323,591,106,551,198,316,843,
575,027,041,801,895,480,126,924,795,621,862,948,255,777,707,954,849,994,674,
150,923,783,291,602,852,240,261,784,840,985,454,065,630,520,481,835,772,602,
271,680,538,329,725,666,251,594,278,174,442,095,048,505,250,138,114,236,073,
498,277,919,956,191,990,768,554,992,451,990,613,619,683,988,214,885,033,879,
302,330,192,531,697,236,118,402,986,845,928,519,497,355,729,259,989,005,353,
506,788,726,810,422,910,161,456,694,386,795,667,046,353,827,455,488,598,170,
102,516,983,843,404,832,696,284,801,144,781,793,584,473,619,531,289,261,482,
821,662,480,497,841,771,515,162,674,555,111,236,044,969,280,089,453,125,642,
391,002,363,819,832,456,967,202,314,979,844,295,606,775,153,839,919,681,637,
871,447,411,847,842,424,700,420,586,183,793,129,598,910,155,335,446,987,229,
247,482,302,901,938,012,674,559,838,845,089,415,113,973,166,778,063,348,347,
729,559,092,247,994,664,480,946,263,023,254,039,672,471,728,620,074,979,883,
692,481,909,584,620,340,037,350,528,161,503,396,422,577,985,450,232,393,317,
230,249,345,257,638,175,551,602,015,462,038,905,493,536,021,226,933,248,282,
847,040,720,942,548,286,402,461,873,432,240,465,946,303,782,966,737,478,801,
677,211,257,111,931,712,874,342,135,096,125,163,786,979,437,316,478,083,053,
886,956,182,184,293,964,278,303,735,164,257,375,291,328,986,861,101,529,471,
949,282,685,262,850,364,140,951,151,584,790,552,752,305,297,347,357,969,630,
410,232,598,244,065,354,538,557,335,450,467,253,992,978,065,789,454,219,181,
806,540,401,511,156,677,886,783,475,389,751,097,003,760,127,236,452,810,993,
981,998,118,532,443,473,781,961,776,633,307,639,046,462,751,175,032,195,785,
641,088,471,712,408,455,127,231,443,398,460,638,375,805,981,612,712,006,480,
000,647,161,414,777,901,532,601,160,237,914,495,218,580,810,293,193,824,564,
858,622,606,586,171,564,706,095,736,261,007,318,727,165,270,613,852,722,660,
363,686,117,669,804,616,492,097,331,232,373,880,973,673,745,925,659,407,904,
691,231,744,727,693,244,877,504,018,261,840,472,166,756,297,215,723,992,129,
525,731,449,850,383,384,313,447,154,551,296,105,458,795,701,053,859,386,264,
716,353,243,538,544,388,016,680,195,512,359,683,894,032,946,439,410,195,485,
431,658,354,790,369,156,602,592,110,008,937,594,693,210,859,834,473,161,470,
123,385,245,221,238,130,485,670,115,429,999,446,394,242,449,442,260,674,954,
223,028,265,806,834,292,290,142,899,734,178,925,407,993,178,204,405,101,838,
264,759,556,861,116,771,262,562,776,924,184,892,720,505,731,689,591,494,062,
341,160,823,751,604,787,989,698,527,522,273,776,848,636,636,871,033,855,839,
730,245,419,533,337,272,147,169,690,881,723,384,521,196,224,278,710,616,253,
393,801,240,378,734,126,993,479,361,553,379,798,988,620,651,006,662,118,918,
105,110,701,932,224,088,223,527,893,149,051,894,139,059,633,724,700,619,949,
720,629,088,112,763,428,740,453,516,912,855,437,003,127,607,950,088,248,366,
452,848,141,166,035,024,079,303,531,513,297,929,647,217,745,460,678,022,137,
111,752,558,117,447,852,477,222,291,521,794,123,978,648,097,638,579,359,834,
968,440,102,961,531,307,985,003,047,464,648,204,188,971,810,486,340,815,407,
959,502,845,584,528,880,224,403,659,769,345,314,359,053,699,285,469,886,225,
836,883,264,997,562,998,864,537,307,044,900,922,982,422,570,867,626,873,216,
612,496,750,571,911,578,033,156,382,014,977,547,018,443,510,648,688,807,152,
447,721,918,670,718,909,617,815,612,995,954,954,632,962,291,470,175,676,469,
956,210,832,796,814,432,053,942,345,789,287,633,659,834,979,348,411,613,418,
847,778,260,880,328,791,508,247,694,136,499,161,914,239,606,941,700,828,910,
069,551,196,594,963,962,862,963,882,586,989,852,658,398,779,574,456,424,318,
111,773,401,147,445,307,517,270,962,924,224,586,033,586,711,735,897,299,791,
867,987,129,459,385,782,876,765,661,821,250,741,726,154,988,746,134,622,713,
566,737,965,787,774,780,772,355,982,495,734,593,004,063,181,473,871,014,149,
352,416,405,484,837,306,696,333,618,137,401,553,845,936,049,196,314,190,410,
468,448,524,080,057,822,919,841,477,185,391,185,664,672,610,168,330,028,422,
179,575,450,260,244,928,660,680,745,539,626,816,921,820,620,230,752,036,784,
177,309,771,910,075,329,625,133,403,737,043,236,075,730,524,353,846,165,752,
867,070,703,469,602,127,971,218,168,605,565,396,841,108,342,800,168,710,898,
303,274,927,096,704,278,065,386,246,756,881,275,650,073,417,049,772,572,820,
313,627,074,951,046,745,445,823,436,806,974,058,269,707,551,048,888,839,520,
480,340,583,098,357,675,989,924,807,890,511,382,983,572,068,766,869,158,973,
132,549,427,046,157,392,632,559,290,707,365,595,055,303,305,120,624,314,613,
354,063,231,952,263,352,916,249,427,930,940,336,405,371,126,905,869,512,834,
019,420,087,872,504,400,105,690,053,312,186,300,322,427,959,539,859,753,098,
065,953,023,454,996,732,726,937,917,164,538,519,160,315,652,871,482,072,801,
103,303,376,279,349,575,827,317,256,045,712,830,762,172,468,984,825,523,041,
456,626,715,862,360,735,188,086,050,322,101,963,214,945,406,280,182,061,044,
248,833,174,525,887,962,473,027,339,042,558,318,745,775,030,328,197,787,014,
255,226,514,880,409,839,413,788,179,514,741,306,011,033,655,298,745,180,854,
952,999,969,139,815,627,900,340,189,775,270,337,160,394,718,155,898,309,068,
521,677,224,687,279,910,887,042,309,456,398,552,613,654,433,647,944,931,122,
853,091,551,329,791,114,964,863,325,842,672,061,225,166,789,381,988,316,245,
387,408,049,894,676,991,193,185,174,369,347,357,739,468,758,167,606,324,340,
747,414,885,022,794,781,084,059,816,587,417,002,984,234,047,837,827,419,405,
935,410,365,571,579,604,843,554,551,711,440,633,673,597,048,964,380,195,576,
023,207,298,242,342,605,303,929,993,925,013,313,609,008,995,027,038,676,686,
628,983,616,220,545,055,178,494,681,951,790,996,847,504,152,820,076,340,953,
285,089,053,129,303,985,748,647,572,315,639,840,181,968,455,378,055,364,643,
737,895,727,820,990,841,776,129,210,278,618,574,364,541,856,591,326,378,959,
119,373,181,783,448,382,475,220,720,085,249,517,216,685,982,590,120,882,155,
039,888,604,641,368,729,338,799,957,684,764,003,031,499,945,013,093,927,567,
646,059,080,848,121,561,595,991,823,337,274,976,278,040,369,968,877,263,583,
068,023,314,064,214,678,515,260,127,446,298,941,812,169,338,097,126,430,029,
049,013,867,016,732,955,401,391,351,589,721,414,239,440,938,148,579,366,077,
084,876,509,994,875,118,358,063,802,519,448,683,790,229,787,083,067,875,090,
940,792,197,787,822,224,403,358,041,251,251,831,728,634,360,201,325,165,373,
638,786,061,326,223,435,956,040,817,210,581,109,231,509,775,527,046,686,478,
591,272,206,183,238,708,978,529,702,222,533,357,783,558,361,868,097,739,674,
601,575,786,722,878,903,826,580,815,210,076,021,306,736,861,280,437,900,179,
688,354,452,918,937,229,431,955,134,809,409,659,409,546,004,630,732,392,185,
798,315,357,158,112,829,280,132,759,011,820,679,755,003,683,558,676,895,202,
776,781,544,435,216,655,011,408,695,889,453,805,464,376,726,524,268,996,200,
616,083,208,718,947,758,871,315,644,064,310,831,530,839,788,150,489,578,665,
449,622,243,038,445,234,222,297,133,846,645,107,568,473,844,712,103,910,914,
134,379,161,500,068,900,951,519,216,134,785,800,678,716,646,662,004,752,964,
354,988,960,480,030,310,198,235,633,805,357,870,781,377,560,884,327,176,673,
961,943,034,006,418,553,934,258,154,596,541,276,945,916,253,819,668,237,673,
445,279,114,984,058,008,448,488,252,584,889,772,809,701,417,186,986,444,870,
459,849,099,228,696,779,780,608,675,962,979,611,800,586,905,451,257,112,037,
952,357,879,637,289,188,954,873,228,621,972,440,933,156,173,352,555,866,544,
647,948,091,998,677,532,344,216,908,334,455,296,785,751,093,641,028,730,649,
785,702,384,015,560,752,803,995,089,068,235,234,735,491,981,204,099,226,010,
958,572,695,066,654,793,711,539,383,045,064,724,194,507,301,100,391,648,057,
915,509,019,295,402,605,203,657,802,471,096,482,285,722,970,601,511,785,225,
237,596,144,723,268,650,403,733,432,769,795,780,244,483,405,546,950,327,078,
651,429,270,635,945,874,351,438,816,455,425,668,711,509,550,382,441,464,751,
407,620,861,239,033,294,842,430,827,337,782,872,139,041,555,419,983,405,303,
005,052,114,280,305,596,027,754,689,600,498,748,823,422,498,911,489,084,362,
285,612,237,641,272,850,367,521,706,457,867,370,730,211,910,669,179,235,795,
866,459,665,044,348,601,879,535,558,811,364,788,504,033,518,835,247,932,242,
939,976,030,553,990,362,274,348,873,566,473,613,315,854,352,835,534,103,724,
896,863,850,175,516,670,750,326,719,385,395,230,949,154,071,749,522,536,667,
715,487,006,555,380,905,929,223,294,558,577,818,026,788,133,462,955,974,545,
093,810,005,546,132,498,676,941,698,067,392,196,811,749,127,710,972,551,689,
856,125,342,747,274,898,783,810,420,317,310,479,492,458,599,016,377,011,413,
255,381,856,384,512,410,817,267,510,370,494,318,117,968,122,207,454,101,192,
096,521,651,525,330,431,524,813,689,614,186,934,584,686,140,029,398,403,630,
713,562,685,787,184,923,222,229,623,064,155,079,429,903,897,390,500,559,516,
159,712,223,999,820,167,532,655,660,716,949,490,413,910,894,060,974,124,027,
263,660,607,278,386,603,594,751,238,316,465,646,308,299,927,215,674,809,510,
644,155,983,352,583,327,773,616,508,577,111,197,027,747,075,820,912,374,217,
392,099,206,636,163,498,692,193,732,880,319,515,721,718,822,307,902,438,464,
298,603,244,532,636,142,290,723,104,777,240,916,494,063,180,569,198,014,182,
214,989,257,480,293,083,689,520,302,544,098,129,036,215,705,808,994,682,529,
057,822,602,890,304,281,984,179,903,905,731,088,370,025,398,298,173,531,767,
515,742,550,031,424,619,797,371,018,359,544,755,275,413,129,346,275,263,179,
600,133,945,456,182,739,131,571,863,659,513,291,900,162,800,408,978,073,093,
881,797,620,079,069,800,898,280,613,660,893,074,429,889,795,345,407,635,062,
723,005,224,778,182,080,636,654,242,716,817,786,103,211,957,116,803,216,924,
402,010,003,866,196,527,911,406,481,781,995,227,740,508,805,310,439,434,531,
726,308,692,759,161,080,874,223,424,623,410,628,531,333,273,415,171,855,707,
868,493,776,648,793,250,641,026,410,222,789,727,479,065,063,216,862,756,939,
564,896,874,683,189,439,412,774,143,782,456,523,328,989,225,548,131,914,092,
911,035,724,482,984,243,660,839,279,271,189,305,680,604,494,427,035,355,848,
994,588,507,241,854,290,906,284,659,004,883,142,505,672,993,958,188,966,933,
245,606,974,679,188,346,713,024,830,587,478,401,075,802,567,182,270,734,592,
184,441,914,845,322,713,160,828,897,682,715,293,109,330,012,762,483,401,472,
509,117,298,511,934,933,515,816,487,216,974,700,980,022,698,395,360,046,623,
262,404,904,177,847,729,959,363,847,716,427,980,748,422,501,112,440,864,726,
083,525,571,244,511,344,307,869,784,370,146,610,640,981,981,355,398,683,682,
100,562,263,367,750,330,287,611,042,664,349,267,830,822,939,496,460,813,973,
450,689,837,253,089,746,184,783,735,555,635,264,557,132,412,911,632,228,604,
595,876,904,028,024,507,225,832,719,364,360,951,377,208,954,032,058,890,436,
781,479,458,751,332,525,815,549,115,966,165,852,373,992,343,943,141,705,258,
018,085,534,306,393,904,990,859,978,046,311,649,668,139,949,275,597,881,319,
143,044,946,877,644,630,847,731,417,251,039,731,339,009,538,229,993,127,362,
857,752,896,602,883,755,129,608,162,207,266,873,443,326,351,400,256,707,452,
283,289,313,108,492,881,280,407,402,037,381,576,887,680,276,328,069,773,195,
697,710,019,271,724,361,718,826,721,227,989,142,062,988,853,432,853,074,394,
352,832,323,396,911,104,185,625,267,170,393,331,454,945,560,863,522,219,501,
687,895,844,865,534,557,440,462,858,774,743,730,592,569,657,301,914,944,797,
830,501,363,685,888,597,975,182,583,058,366,111,260,167,472,838,972,639,574,
139,104,051,657,894,500,964,811,053,753,849,472,967,839,125,284,333,113,339,
243,058,277,452,724,177,750,615,364,839,649,973,722,708,359,581,397,760,521,
430,447,620,318,622,472,618,261,548,598,442,596,109,443,573,365,022,422,695,
714,020,139,481,060,144,107,911,109,129,038,580,292,967,888,969,518,365,016,
567,729,885,140,319,085,309,109,390,160,058,105,988,277,375,926,273,472,753,
097,980,715,057,652,486,290,712,580,609,173,788,319,514,635,428,876,905,146,
188,151,206,563,264,913,439,976,482,556,460,219,881,487,554,202,576,168,728,
367,555,638,166,869,637,867,461,587,473,057,664,100,692,479,008,554,865,084,
814,635,165,845,338,732,898,400,485,665,198,368,362,246,289,256,106,425,217,
298,786,895,131,828,572,738,759,914,556,426,016,763,549,626,641,848,912,043,
495,142,984,955,447,535,420,269,161,483,434,469,665,614,265,003,737,734,402,
139,503,790,002,980,264,764,106,837,125,991,596,689,623,150,971,729,865,346,
129,776,056,327,385,351,908,395,453,357,250,896,435,595,772,245,172,252,565,
556,543,377,029,849,913,929,194,670,618,333,274,638,887,352,802,375,836,787,
363,770,994,442,649,278,414,029,833,575,922,442,254,513,343,412,943,039,070,
653,307,327,217,324,529,953,878,374,324,239,093,601,497,414,268,026,159,973,
835,216,225,451,342,637,829,859,727,123,107,846,492,192,288,846,504,000,776,
629,745,378,489,642,780,143,652,423,938,587,340,221,296,222,951,052,454,632,
730,157,502,767,216,115,965,599,853,584,348,485,629,569,787,582,154,116,380,
130,404,903,617,177,600,203,843,238,021,780,563,720,731,480,058,479,691,900,
069,613,407,697,658,924,704,040,367,488,216,430,910,086,901,665,141,474,473,
583,870,287,288,770,416,326,172,871,713,489,869,280,017,260,298,708,511,881,
459,061,299,580,021,163,286,688,497,423,654,043,432,312,745,413,938,181,048,
797,624,640,544,100,665,291,236,980,963,695,186,859,297,832,398,463,199,949,
349,208,235,974,538,552,492,499,902,121,132,926,947,013,300,020,146,745,895,
158,139,102,867,292,522,353,019,322,672,960,514,234,289,045,134,886,010,178,
044,435,545,690,137,050,260,922,953,230,924,383,448,005,837,195,485,986,961,
015,940,767,763,847,380,021,659,758,887,922,632,692,576,372,077,091,825,911,
655,997,880,732,741,909,462,576,355,568,852,516,193,648,175,795,767,609,180,
987,442,025,128,080,752,584,561,466,862,894,219,062,622,578,655,325,203,605,
199,127,911,440,302,638,784,171,143,773,510,757,595,083,567,639,606,313,074,
138,075,359,176,360,435,571,817,954,510,278,527,050,598,675,649,297,148,458,
581,105,126,746,481,317,794,823,765,198,552,829,639,855,116,954,739,701,355,
559,480,274,974,702,748,338,820,540,102,329,648,650,102,789,003,715,352,174,
559,635,420,689,991,978,729,011,923,469,509,214,202,896,092,054,336,473,807,
157,857,830,020,907,736,805,428,553,475,318,162,137,016,969,652,808,366,277,
291,973,910,617,578,435,634,071,170,192,251,893,854,068,832,578,454,872,431,
581,731,433,689,951,097,158,796,086,869,296,106,232,547,973,301,822,296,444,
574,696,938,392,667,787,466,158,697,031,293,173,003,889,405,213,759,005,959,
771,214,466,368,470,035,001,539,816,607,972,848,477,446,994,944,388,275,163,
044,216,969,212,117,196,230,661,511,079,695,466,733,665,512,178,100,708,198,
044,403,691,062,143,592,848,545,533,229,120,689,487,908,847,657,868,314,368,
247,722,782,423,728,470,499,519,671,131,865,658,473,411,762,379,055,548,697,
005,546,476,566,546,283,242,412,821,006,361,688,347,796,743,927,082,384,606,
668,515,524,788,805,522,842,299,374,246,066,137,753,798,302,921,163,809,702,
980,028,621,272,595,899,143,510,582,685,285,227,059,458,856,044,213,152,729,
813,994,222,020,841,895,696,696,079,318,304,213,429,121,950,935,322,919,589,
392,194,012,066,164,707,032,923,781,424,240,190,851,285,644,273,430,081,816,
705,838,274,257,562,773,361,539,655,697,035,534,298,914,494,648,668,010,733,
418,749,947,865,920,319,670,175,201,357,617,829,349,530,718,780,577,191,206,
126,454,655,727,725,896,536,332,281,984,499,948,538,567,019,491,745,368,540,
824,657,619,497,372,621,174,440,526,516,954,333,654,556,896,896,585,213,498,
904,387,762,511,275,999,971,281,331,131,128,070,509,238,439,879,068,722,328,
036,433,003,202,648,847,428,211,796,828,185,623,818,420,919,096,265,200,779,
429,099,455,256,320,481,785,973,674,995,171,235,232,024,656,743,199,456,893,
886,893,970,771,782,068,916,957,350,280,079,570,129,983,833,510,444,011,448,
011,291,989,043,319,736,056,758,676,549,574,254,038,888,442,467,370,932,245,
733,439,523,102,515,400,636,473,834,414,523,283,387,382,931,458,947,258,616,
479,314,533,760,846,895,262,578,932,814,559,991,973,783,727,492,760,678,956,
936,108,054,032,641,294,430,190,797,726,196,579,158,275,900,242,875,420,697,
779,411,933,951,761,287,788,076,838,548,139,685,453,468,747,144,392,048,883,
031,812,620,103,289,863,150,718,370,353,206,915,087,803,308,086,814,480,703,
101,613,890,518,909,511,725,263,157,007,479,992,026,764,034,919,254,957,979,
077,295,726,544,838,300,577,139,122,169,970,988,462,558,262,155,965,525,030,
696,630,730,667,276,868,553,939,543,836,160,780,059,651,555,203,096,495,524,
554,080,619,307,869,971,066,208,465,667,630,796,146,655,420,737,542,113,372,
663,181,117,155,190,884,938,549,883,182,133,199,501,043,955,619,136,124,583,
782,254,137,543,147,188,999,440,244,147,802,170,168,850,723,743,826,325,170,
299,149,920,281,047,150,690,063,817,020,441,258,215,479,503,337,358,888,219,
486,344,171,009,362,717,115,568,496,742,349,979,455,526,506,565,772,760,996,
823,161,830,620,871,031,177,430,801,699,456,599,028,525,452,192,908,535,993,
931,797,888,198,445,212,281,948,809,630,693,670,652,376,448,401,114,371,187,
139,847,498,237,262,159,902,182,006,107,611,755,337,682,630,008,775,909,333,
957,003,225,359,023,370,462,179,319,277,970,426,445,839,716,990,680,091,617,
053,270,509,567,555,213,034,004,786,575,481,554,249,168,888,288,314,088,201,
645,153,645,401,701,913,247,431,030,533,071,765,309,419,261,610,200,305,890,
956,305,944,958,671,679,606,493,909,626,077,508,864,332,174,080,807,238,812,
866,130,749,444,415,085,575,275,589,501,515,629,520,849,940,072,325,290,091,
942,146,970,177,642,461,234,675,590,699,274,756,978,467,791,753,160,763,371,
141,700,994,697,586,821,429,938,169,966,632,512,640,435,477,568,466,234,911,
643,700,783,412,113,957,682,594,586,887,600,722,888,678,050,634,084,590,673,
999,754,883,174,245,752,721,068,475,646,444,751,677,862,254,307,299,381,772,
959,135,470,381,230,659,219,927,493,084,910,747,019,077,439,745,356,932,802,
829,671,216,602,472,900,293,063,862,179,425,761,048,544,200,630,677,521,671,
778,198,412,091,663,874,555,541,068,550,923,359,877,481,884,261,256,328,575,
201,262,899,188,744,280,576,271,776,040,608,154,843,311,282,523,571,382,819,
318,909,317,115,732,859,694,631,144,472,361,462,256,380,271,084,345,814,101,
746,269,579,115,368,043,751,118,910,477,776,510,300,537,791,066,687,423,006,
420,285,711,355,748,242,617,838,294,279,695,558,109,975,452,997,588,307,625,
126,469,358,661,499,725,494,128,770,518,639,713,686,724,801,363,773,064,223,
915,517,093,559,598,847,655,804,765,473,413,603,028,493,687,204,336,414,060,
561,569,422,472,807,650,815,332,838,318,779,944,280,358,462,465,422,517,598,
127,173,083,528,162,346,879,647,330,670,152,295,739,185,014,758,086,737,509,
676,872,165,716,780,620,365,691,200,290,253,901,029,578,625,856,651,188,453,
022,944,227,994,958,338,721,577,025,962,024,375,396,461,189,359,893,616,854,
333,392,616,784,705,738,500,963,837,014,849,817,832,384,006,121,327,767,015,
551,112,742,048,864,681,944,408,947,936,063,592,804,908,574,830,637,841,948,
140,532,711,727,459,915,410,301,187,146,651,350,295,633,426,657,302,536,976,
771,972,252,304,409,280,441,708,446,005,245,863,684,324,657,961,483,495,166,
026,981,279,113,575,641,420,156,616,907,651,296,874,478,260,479,307,308,400,
046,722,815,709,148,659,720,800,377,923,703,710,612,711,963,430,174,107,320,
827,664,707,709,770,129,668,679,308,172,165,303,852,866,857,421,745,288,537,
867,721,829,349,340,636,694,321,500,992,014,518,020,039,976,349,418,081,501,
054,054,563,212,899,213,103,407,173,122,545,343,267,818,041,468,277,900,607,
485,365,263,914,619,826,687,164,720,101,458,643,676,018,697,136,470,652,538,
910,304,258,858,478,889,597,830,397,900,495,641,580,745,363,412,728,847,215,
896,186,183,712,000,906,155,118,002,200,323,892,156,072,353,554,270,141,026,
553,338,380,860,589,509,410,262,475,415,952,236,278,698,392,156,005,319,686,
619,286,191,704,665,329,276,943,461,015,609,874,695,715,619,620,650,101,023,
821,269,237,437,963,612,875,221,455,416,217,613,667,373,508,915,594,052,076,
214,320,022,112,383,691,607,991,302,693,607,608,752,720,325,027,169,142,486,
939,877,846,981,903,731,325,240,053,437,698,561,909,626,354,961,060,523,278,
797,939,173,589,991,264,288,377,903,424,426,641,015,521,334,046,781,340,345,
549,891,785,566,286,451,870,082,917,192,175,793,610,140,050,281,729,082,981,
540,041,804,291,926,018,136,861,328,034,658,030,634,390,751,720,064,865,843,
168,029,066,154,386,895,554,755,771,216,598,348,425,992,813,844,406,704,574,
910,526,225,896,915,919,212,328,269,509,137,886,307,247,862,286,760,118,799,
187,661,753,601,388,111,099,989,298,793,450,791,474,471,353,033,040,592,154,
719,960,437,335,405,216,465,275,175,678,889,832,538,437,612,692,758,414,937,
265,415,486,229,579,370,456,472,586,496,589,962,943,213,485,326,052,773,904,
300,314,224,959,015,447,643,794,448,229,359,747,200,621,278,795,805,176,834,
805,778,350,270,850,088,446,594,173,664,119,772,808,927,427,150,794,505,646,
433,919,629,295,801,074,324,902,541,406,785,681,062,322,599,156,286,133,184,
710,032,805,835,364,418,537,161,048,248,838,984,016,523,590,257,985,932,812,
797,890,985,688,079,933,154,675,076,642,386,630,811,402,040,865,001,074,721,
621,173,725,508,387,437,005,139,257,353,779,050,777,502,963,343,574,770,155,
541,006,230,956,189,441,654,417,368,552,750,831,471,156,614,913,620,425,749,
431,609,750,181,892,349,654,270,143,998,629,396,464,529,216,072,644,811,347,
356,691,954,832,113,429,272,889,281,078,506,736,222,545,750,397,300,027,181,
133,273,429,235,496,457,053,586,013,573,405,860,376,049,421,207,414,755,039,
575,523,961,405,254,409,036,060,555,434,025,269,125,595,188,557,507,026,851,
328,838,362,679,582,249,738,641,902,257,456,895,403,437,129,009,502,657,375,
294,397,265,543,952,410,248,240,562,421,695,598,747,203,192,640,079,268,885,
170,030,898,976,684,924,518,743,612,207,471,541,984,977,040,117,933,914,880,
437,831,087,582,583,671,887,001,812,782,776,508,234,140,503,273,143,281,563,
597,993,046,907,016,977,891,255,709,645,876,371,860,243,932,461,484,102,835,
682,877,521,954,061,159,312,717,511,311,615,989,442,812,773,933,314,350,188,
104,032,830,762,564,148,756,364,088,367,198,865,491,561,935,040,092,297,626,
482,476,194,635,138,374,573,212,379,324,790,999,798,147,547,794,897,751,560,
898,208,653,195,062,263,704,310,725,681,009,191,616,366,138,276,364,432,398,
266,042,455,985,459,428,650,230,131,531,147,909,772,029,445,701,033,179,792,
172,140,252,768,315,277,555,382,443,696,286,525,797,356,677,699,895,997,195,
978,563,894,409,607,619,827,304,600,636,810,116,571,266,692,548,404,633,720,
157,409,664,684,002,667,218,938,222,504,016,451,793,692,897,665,316,738,679,
663,419,806,542,269,625,211,593,811,549,690,586,204,367,805,729,515,608,148,
334,752,524,396,573,898,070,158,101,957,999,822,138,785,145,899,934,053,279,
691,195,297,344,156,007,495,556,731,155,319,297,439,041,112,439,916,410,194,
946,034,168,285,085,121,803,059,697,766,057,616,324,328,031,491,308,063,047,
857,312,755,120,259,531,619,133,009,841,947,941,478,505,812,145,825,800,871,
605,666,671,345,383,124,210,737,645,944,018,847,414,863,684,681,519,405,759,
195,825,743,787,390,545,606,578,284,981,140,549,337,231,485,395,367,263,713,
792,840,917,381,154,460,950,590,808,540,388,056,951,038,204,118,132,235,708,
307,520,226,695,039,930,591,882,586,351,628,461,967,613,571,014,270,279,744,
299,863,434,389,315,780,179,970,598,338,087,772,946,563,343,106,440,808,762,
326,261,611,108,191,830,047,973,324,591,557,207,969,136,363,982,998,513,279,
593,489,502,176,628,463,174,671,884,164,859,247,186,733,387,377,146,459,762,
932,012,394,263,607,286,552,432,107,738,774,566,722,382,321,683,160,211,410,
534,249,174,406,920,467,722,125,244,972,209,386,573,779,890,210,115,635,311,
141,898,191,396,550,601,160,103,554,802,719,506,502,114,960,058,091,754,962,
982,622,744,721,407,234,382,626,221,657,889,084,467,570,281,841,953,943,344,
623,617,101,788,095,803,289,513,028,485,475,819,582,860,026,000,898,880,630,
321,541,986,165,473,485,429,299,726,389,882,577,976,261,527,565,860,347,412,
176,560,227,417,857,316,571,370,736,175,732,431,553,843,138,937,038,316,183,
652,188,650,791,175,768,637,999,176,124,615,342,914,845,013,352,738,679,979,
520,008,092,807,695,309,030,050,795,000,725,292,990,164,743,941,680,039,753,
538,427,323,688,432,121,899,533,236,504,552,718,493,411,031,072,789,373,036,
727,559,583,851,791,831,866,301,448,560,381,837,467,151,238,963,875,183,058,
616,707,953,318,795,864,689,349,426,382,425,509,544,136,249,881,405,847,372,
980,303,037,958,618,268,712,240,750,784,483,162,503,699,079,934,251,455,518,
589,330,717,948,200,297,183,327,554,976,566,333,181,371,156,070,919,074,462,
754,174,112,383,476,237,630,388,199,144,768,596,749,008,174,709,789,308,353,
308,436,884,951,250,279,104,022,962,189,855,058,489,365,570,519,509,268,457,
379,689,678,550,446,946,455,997,064,697,951,059,330,078,216,536,753,245,984,
782,520,309,466,140,875,010,831,946,677,193,166,994,774,914,548,259,658,134,
549,868,024,492,929,671,886,613,575,696,657,751,625,184,311,371,782,960,427,
095,168,796,331,184,405,414,423,766,884,305,202,467,682,324,015,841,870,334,
140,681,401,825,059,296,235,837,947,123,763,859,928,231,597,072,771,810,419,
273,023,605,907,182,565,253,468,829,267,332,402,751,781,683,333,837,433,956,
170,178,014,102,822,285,229,412,650,921,647,672,441,491,928,735,262,549,293,
368,984,313,338,771,770,487,680,286,622,586,736,823,017,933,862,379,119,789,
330,564,640,240,076,196,239,522,914,817,210,377,757,177,194,918,609,434,023,
611,073,633,533,563,602,836,781,854,824,969,839,268,331,053,685,843,851,605,
342,067,234,345,217,226,300,325,494,830,929,808,957,891,663,120,935,199,574,
003,733,775,378,105,157,087,329,951,475,562,104,065,876,851,761,105,069,039,
358,390,566,805,409,309,101,102,527,355,854,597,242,967,326,121,413,320,535,
916,592,582,230,551,888,802,669,544,960,491,991,570,747,645,924,138,871,261,
419,687,066,067,233,432,951,324,574,322,063,253,477,031,847,769,235,979,237,
772,179,556,108,765,451,724,474,391,849,318,845,023,941,200,626,510,288,870,
688,750,119,732,469,386,491,878,755,172,174,539,627,019,291,251,019,716,723,
066,479,959,046,003,509,529,334,358,521,873,872,246,287,996,720,204,216,000,
904,090,337,392,191,997,403,155,700,094,420,814,291,449,004,272,390,086,303,
370,693,242,845,021,664,022,122,219,984,681,199,779,592,800,063,774,754,635,
500,675,305,316,675,371,266,529,035,210,173,096,727,221,023,563,403,586,640,
602,733,665,106,435,957,132,852,550,966,609,139,417,019,068,726,193,862,072,
359,317,109,170,338,834,519,096,099,071,828,689,461,079,063,470,639,009,230,
030,040,109,985,309,149,661,849,057,725,019,385,304,364,775,414,256,707,644,
799,333,339,831,928,029,737,743,162,254,056,684,238,378,482,801,735,624,245,
887,773,209,480,238,171,434,557,381,196,419,638,532,511,382,728,199,968,281,
875,401,390,646,026,269,108,140,558,488,333,870,981,986,627,222,934,020,633,
718,873,908,897,889,708,074,540,151,809,917,802,847,632,919,118,035,471,951,
441,157,200,411,014,753,387,325,319,685,308,135,398,683,828,527,749,719,050,
878,022,007,639,123,786,687,521,263,439,839,136,353,416,554,019,594,070,550,
171,639,180,522,972,186,339,682,476,776,692,978,656,344,953,877,278,687,803,
542,861,133,413,558,833,469,500,750,514,714,174,572,237,931,996,120,494,348,
817,062,267,174,822,733,283,821,971,198,305,886,506,944,719,445,466,290,604,
946,145,297,589,772,565,265,078,625,716,165,682,589,967,247,331,950,308,626,
625,287,490,256,446,648,193,408,980,763,030,568,702,662,318,837,116,569,266,
210,362,965,989,678,837,390,295,830,052,773,277,095,035,408,150,354,537,445,
442,005,617,590,329,239,561,060,216,798,447,061,819,755,089,275,895,120,436,
350,904,518,159,888,478,182,288,017,630,232,626,005,445,417,167,013,796,383,
396,576,428,969,310,141,938,655,912,599,971,587,957,083,582,639,483,021,146,
196,652,889,085,246,345,799,704,773,844,274,455,226,274,752,667,055,425,703,
640,959,916,373,388,774,480,047,440,206,281,347,599,023,457,231,883,889,600,
017,567,438,329,387,110,144,133,593,793,493,312,657,662,019,372,410,425,382,
740,288,472,916,270,715,375,124,414,268,701,075,025,783,064,278,128,366,361,
522,692,935,697,008,467,552,920,264,790,183,579,240,646,035,331,138,275,692,
508,690,441,684,768,511,539,615,480,329,375,467,364,777,476,049,956,740,355,
937,462,992,245,135,025,587,379,412,371,355,549,322,815,982,683,092,727,327,
534,000,619,333,658,734,434,004,832,588,098,365,920,423,741,216,520,661,459,
273,095,682,524,654,018,543,972,191,279,816,412,100,370,427,694,467,300,727,
401,083,317,751,809,156,624,486,580,867,299,039,253,464,044,032,448,403,911,
820,557,804,512,932,400,029,872,263,332,902,823,935,410,151,779,806,531,749,
051,259,437,012,422,584,137,267,762,578,823,537,182,447,468,122,060,143,801,
757,667,600,077,445,705,598,680,582,649,200,864,520,082,079,377,118,175,031,
399,802,721,412,694,954,172,560,148,122,421,995,665,104,322,360,916,280,891,
489,877,152,362,339,150,121,484,219,308,634,315,975,755,711,712,120,055,874,
619,145,817,459,567,989,038,840,234,365,896,394,842,792,729,553,481,149,290,
559,689,780,837,051,943,283,130,774,638,845,811,620,656,516,816,603,936,331,
356,482,947,231,201,930,864,071,621,820,595,355,262,476,637,089,322,020,971,
624,396,764,482,093,568,089,818,091,527,541,831,319,656,565,728,376,623,102,
833,656,093,151,777,126,424,120,778,915,612,502,805,743,489,130,447,832,947,
004,700,010,654,003,044,865,343,248,258,474,721,070,581,912,027,692,373,861,
632,485,291,191,855,209,831,959,547,303,203,081,598,442,402,221,125,915,163,
690,996,334,402,787,152,674,400,694,606,896,282,285,075,663,406,503,455,556,
525,211,727,004,531,570,311,847,878,431,894,604,516,426,778,572,401,064,175,
064,119,631,485,130,390,598,271,818,231,420,476,434,952,492,613,816,026,558,
156,496,686,756,598,482,862,054,958,566,161,393,707,708,172,091,102,491,562,
871,622,683,965,665,050,547,789,446,863,099,047,096,580,570,184,729,272,605,
554,708,942,244,373,206,984,737,179,107,709,260,790,124,818,936,449,432,957,
538,085,358,352,751,163,906,699,293,894,333,100,493,952,601,352,412,994,657,
801,464,160,082,762,693,697,451,847,618,988,549,792,279,005,249,601,974,697,
642,034,634,671,178,820,957,178,365,464,988,772,510,726,462,222,064,159,973,
807,189,822,589,417,294,013,591,407,178,822,265,902,765,419,779,004,520,492,
693,981,607,272,324,821,349,286,038,179,541,121,350,905,982,890,061,487,562,
668,261,178,988,229,791,993,133,208,257,614,978,684,970,750,961,719,794,183,
493,192,196,974,557,659,981,226,718,507,476,622,668,480,790,279,870,174,063,
683,887,291,577,256,459,317,960,792,767,688,950,353,577,633,258,840,233,940,
193,963,655,313,678,720,657,420,603,335,602,280,518,627,073,721,949,390,515,
230,242,936,537,508,160,584,924,438,214,067,039,105,966,049,186,698,928,494,
706,803,294,542,542,549,909,632,753,944,435,145,985,901,275,490,381,132,053,
173,198,035,304,071,879,773,754,229,162,842,528,823,125,903,794,637,348,499,
858,084,668,870,877,681,681,866,485,778,358,823,637,278,995,822,714,792,653,
906,018,505,748,841,446,577,068,212,257,535,749,603,099,391,256,196,882,556,
400,657,334,503,081,036,500,055,107,933,619,189,723,218,875,114,492,832,846,
508,145,318,780,447,808,135,512,915,557,009,028,254,488,683,195,636,174,325,
488,597,655,088,830,921,726,853,339,285,447,429,396,643,120,401,325,232,838,
300,357,289,949,487,021,248,153,270,498,261,472,774,334,070,558,648,610,607,
868,424,463,277,661,071,721,986,040,571,048,974,594,237,339,017,640,985,771,
045,429,818,144,412,831,812,465,214,189,312,925,258,785,108,677,659,153,292,
401,845,690,611,690,240,869,168,487,299,676,747,950,379,354,897,682,805,548,
258,627,039,336,239,806,837,596,909,409,232,504,296,730,778,265,089,295,217,
840,331,495,344,471,574,780,362,345,916,152,523,449,867,651,608,247,217,452,
761,658,286,700,936,557,324,832,845,921,723,273,717,083,003,132,836,489,847,
615,565,634,044,272,652,380,763,407,524,917,703,641,926,782,669,889,359,940,
077,257,754,321,819,642,458,787,686,972,473,849,134,414,821,646,725,344,128,
394,808,640,568,146,185,959,853,682,127,881,143,294,592,921,063,490,107,897,
374,373,597,963,627,522,611,376,699,669,596,791,176,673,954,983,483,949,302,
148,003,734,600,456,850,627,640,796,830,155,363,424,434,548,499,921,124,112,
449,871,604,671,225,934,927,485,973,037,103,035,833,692,998,268,747,280,388,
675,788,826,688,760,148,031,159,288,583,490,919,003,101,415,632,784,910,033,
733,220,770,723,943,349,479,531,766,059,197,373,426,814,145,361,359,726,745,
735,322,823,761,249,872,380,050,149,206,839,949,943,507,487,039,845,563,170,
655,706,467,804,087,546,174,128,064,868,967,413,146,009,941,141,637,244,790,
570,108,165,154,771,860,543,890,018,174,646,091,975,702,368,866,335,463,510,
493,382,534,443,515,823,125,579,467,073,427,307,218,232,683,179,484,483,508,
980,653,047,999,454,761,558,820,002,301,721,750,956,554,156,499,754,794,244,
754,290,373,485,226,712,087,669,613,676,486,993,643,099,827,386,751,494,006,
147,980,119,266,322,756,214,342,142,465,255,199,771,035,319,058,036,409,421,
720,317,816,429,868,098,587,761,567,436,973,565,237,957,788,318,672,944,353,
309,057,889,826,529,484,606,839,909,304,027,436,482,807,494,353,648,859,324,
792,597,411,169,153,497,575,734,916,717,998,979,099,561,701,009,514,697,269,
210,803,226,658,133,985,039,674,805,868,815,316,559,809,084,545,395,937,932,
210,789,034,839,959,517,877,264,948,681,126,224,903,238,252,509,553,529,307,
796,950,178,299,398,243,615,192,526,335,371,290,458,018,493,907,856,281,269,
368,178,402,900,008,999,228,073,629,372,454,930,510,851,948,334,570,447,177,
541,678,646,702,841,832,015,663,053,391,717,992,185,288,132,452,904,438,978,
802,315,041,550,641,576,401,140,869,817,060,577,522,062,144,332,244,609,188,
720,941,364,793,961,727,596,008,435,595,872,621,370,187,720,757,476,298,765,
684,828,884,544,350,672,386,109,615,313,054,999,062,848,436,650,942,026,561,
626,642,870,071,728,506,051,423,083,329,194,470,953,527,185,394,242,954,577,
995,433,743,993,858,409,563,980,392,451,955,204,869,176,629,807,576,984,179,
368,785,626,736,856,885,763,980,595,851,291,657,654,291,721,741,303,243,909,
107,563,843,194,452,641,311,910,266,821,106,678,842,561,033,006,222,011,570,
033,629,782,504,488,581,587,879,623,423,821,569,573,882,530,339,149,509,803,
141,057,337,295,795,334,570,723,106,067,460,281,869,646,029,311,417,814,005,
769,191,938,903,880,806,240,774,159,690,457,328,206,205,470,119,403,178,683,
075,588,963,815,094,383,058,705,940,935,740,279,799,286,046,883,277,242,797,
215,535,885,501,454,630,436,143,503,574,752,546,113,901,551,476,169,906,736,
120,472,201,577,625,965,016,025,254,331,226,778,004,884,082,595,176,766,491,
761,565,629,418,833,032,359,145,913,407,580,442,209,380,443,214,292,513,864,
367,692,945,241,073,991,559,307,491,547,998,285,610,908,496,379,279,056,343,
097,514,869,864,479,864,101,626,194,826,701,219,850,287,096,631,610,342,509,
125,824,315,096,941,823,088,065,309,545,449,953,010,782,020,982,655,672,513,
985,929,967,966,535,611,010,569,954,040,053,046,336,809,778,202,386,009,800,
152,828,074,493,486,257,357,509,333,893,269,410,700,015,788,415,957,131,181,
444,100,688,675,990,882,687,998,973,510,285,413,485,917,836,336,600,996,376,
648,097,638,245,790,651,432,148,616,112,676,356,141,076,759,211,175,686,367,
712,511,445,973,875,418,052,417,912,767,171,462,619,507,031,392,585,482,953,
573,046,602,922,691,751,922,348,138,862,650,156,483,350,843,032,397,631,735,
209,311,777,665,182,391,340,830,232,364,124,108,929,922,145,345,927,062,750,
160,983,996,470,385,502,956,131,215,420,064,656,833,314,052,001,319,626,891,
567,707,441,571,002,549,479,461,183,221,507,896,532,763,147,661,694,943,283,
153,276,858,021,219,389,683,271,444,111,673,254,322,964,533,998,427,150,814,
824,435,314,839,241,777,842,578,996,999,561,978,542,675,037,221,967,922,896,
964,691,426,377,741,719,177,978,982,531,445,172,384,344,690,032,838,934,150,
085,073,900,198,431,945,957,100,753,514,520,486,170,191,698,869,441,070,618,
341,493,284,390,461,330,100,636,247,923,151,116,363,705,607,393,771,151,405,
284,112,755,665,517,798,240,672,326,052,100,334,426,732,456,133,058,378,689,
640,996,090,409,229,317,108,094,857,428,178,393,791,840,604,161,583,055,851,
364,505,291,109,980,266,777,624,331,610,399,581,746,274,564,115,216,987,885,
869,612,255,736,415,337,606,575,576,147,718,227,257,020,046,631,564,062,509,
871,243,615,620,025,758,066,824,417,764,182,694,692,438,957,571,324,013,788,
637,938,792,657,298,189,181,681,901,658,987,744,821,325,515,282,010,431,899,
416,523,882,603,112,791,249,594,990,751,475,300,098,943,535,495,829,905,263,
730,161,660,176,424,316,848,144,986,249,137,826,380,016,021,687,931,936,209,
666,095,321,776,328,208,395,315,775,790,563,945,749,059,606,390,647,942,435,
085,361,221,741,684,679,202,760,538,217,712,240,859,512,777,397,165,310,068,
826,237,749,694,150,405,701,749,945,859,214,087,591,340,806,113,375,028,181,
722,999,605,992,322,466,931,131,610,433,378,181,203,282,520,970,697,074,150,
090,515,651,379,817,503,729,437,112,017,529,840,449,164,286,757,136,862,955,
925,436,756,584,699,543,552,202,036,339,838,449,661,419,960,894,121,579,590,
778,582,152,919,073,784,726,833,317,528,280,806,685,905,584,672,126,271,728,
671,567,025,240,861,128,743,846,568,503,348,049,966,304,802,686,064,166,136,
260,287,027,526,768,921,970,500,211,153,810,221,795,673,658,093,500,437,763,
360,510,656,505,284,773,381,460,361,130,830,848,660,689,846,736,971,411,618,
872,293,275,260,673,320,011,814,000,780,102,715,340,336,244,774,054,299,719,
300,091,779,848,632,044,750,209,633,547,388,002,829,467,183,866,358,189,685,
339,249,721,454,577,805,478,040,028,269,008,823,649,000,670,650,575,095,497,
330,857,491,762,900,808,199,156,297,010,928,875,971,685,080,330,110,233,032,
329,854,613,792,376,032,657,897,311,348,764,175,873,691,144,274,403,024,647,
682,070,011,790,241,027,134,907,701,266,150,032,020,241,903,853,029,063,365,
126,640,964,318,609,837,538,491,211,032,949,621,959,203,222,421,019,786,230,
396,489,060,237,818,436,961,899,663,007,978,975,874,414,796,794,488,866,607,
042,009,529,526,405,033,124,824,543,204,743,714,009,661,891,263,503,322,705,
995,512,972,685,255,579,457,163,370,830,386,392,721,122,863,462,633,829,380,
944,782,047,743,018,808,397,951,154,088,447,425,400,489,541,066,637,817,625,
128,830,978,882,824,636,575,917,632,421,573,284,500,341,822,883,924,206,360,
252,774,817,363,112,884,186,278,297,269,582,530,629,724,377,464,000,142,129,
920,371,902,700,547,232,415,619,073,598,078,149,592,990,561,466,376,630,147,
261,381,489,301,731,692,352,100,407,284,248,805,283,897,348,586,821,264,708,
998,623,149,576,006,058,076,324,685,628,469,332,661,722,740,596,851,099,959,
767,211,179,402,461,123,043,734,462,984,434,963,296,697,303,937,183,195,802,
386,000,192,932,500,759,229,084,034,257,365,415,596,543,279,244,716,396,646,
234,622,701,367,590,168,495,648,027,967,773,432,254,999,472,918,169,004,007,
421,083,676,113,711,076,654,777,046,839,916,939,815,722,963,425,017,962,923,
717,695,473,531,219,124,033,206,529,948,148,136,144,044,833,310,716,202,251,
492,802,876,920,169,099,028,431,484,463,154,026,341,536,989,874,424,845,597,
402,477,267,075,743,886,180,259,386,661,719,321,468,480,701,530,076,073,191,
049,628,086,578,202,183,908,280,258,659,453,881,477,764,906,773,347,191,706,
890,702,856,676,840,657,696,075,724,736,278,115,335,023,539,571,574,698,466,
415,322,934,818,570,393,113,987,414,273,121,750,955,331,306,462,316,336,846,
638,252,107,867,815,710,525,809,145,863,812,905,250,422,652,716,498,004,403,
915,542,560,264,996,892,511,726,973,238,179,235,073,503,046,503,223,348,721,
919,760,860,146,567,263,095,505,484,148,112,713,719,000,611,629,809,093,086,
355,721,639,347,191,132,870,869,628,233,560,899,398,127,528,767,039,195,013,
824,997,106,684,241,945,712,832,815,810,832,517,312,779,423,030,909,455,438,
857,471,234,672,347,087,742,378,224,559,633,280,809,020,226,086,540,197,552,
323,036,421,539,277,275,924,488,758,226,550,974,100,123,681,863,752,198,930,
567,150,039,383,998,293,351,837,407,358,968,696,492,175,892,585,353,125,502,
160,279,927,620,881,310,391,630,518,053,616,446,310,698,545,749,439,442,722,
097,723,424,749,211,522,699,333,542,407,345,801,140,133,018,823,412,584,745,
116,129,999,062,550,947,752,314,878,781,223,006,634,783,419,303,655,159,917,
516,429,298,625,053,328,731,052,312,640,805,420,617,236,978,568,211,920,127,
556,299,159,317,115,206,401,953,695,383,371,235,160,279,703,864,662,355,731,
391,187,003,189,929,440,903,237,955,258,989,995,985,135,925,431,914,716,651,
352,080,975,380,798,145,672,915,371,596,974,424,319,120,236,823,055,480,642,
908,222,223,890,704,480,379,877,543,545,452,806,238,961,641,385,575,885,292,
663,836,489,036,325,131,627,138,238,894,017,949,313,440,237,841,874,141,673,
155,331,122,771,714,607,854,315,745,518,890,409,094,216,591,211,849,020,749,
987,671,857,755,541,837,782,425,660,929,623,461,964,372,214,220,355,681,487,
850,747,562,115,047,037,835,683,365,559,073,165,838,485,973,593,890,758,697,
474,857,960,324,271,844,664,648,157,493,359,736,581,665,159,113,204,966,991,
678,235,503,138,705,772,178,059,231,690,730,704,571,096,691,798,763,759,243,
739,356,501,083,863,029,146,988,734,620,107,912,088,150,496,753,340,025,062,
120,286,504,391,822,358,039,106,014,927,251,609,953,311,883,566,036,889,567,
004,261,174,934,420,854,222,297,636,978,940,296,897,985,259,359,434,843,734,
816,062,156,374,694,552,596,518,324,468,098,913,732,420,327,344,385,841,532,
185,639,589,820,884,611,417,597,855,021,225,314,338,315,061,925,317,532,668,
235,436,362,774,517,903,153,931,415,508,881,327,274,049,551,258,474,593,409,
721,877,664,114,826,391,021,596,133,350,225,897,544,501,753,763,384,793,148,
273,878,909,370,472,618,080,883,037,692,832,693,346,688,165,307,082,174,998,
982,754,495,637,606,820,900,357,927,806,132,512,890,866,723,270,855,907,121,
871,976,607,124,646,492,083,489,892,906,534,253,576,990,736,501,041,835,782,
328,916,352,299,125,002,188,816,712,182,451,454,402,341,168,575,457,800,085,
981,207,222,616,930,172,292,847,284,704,430,420,300,198,342,101,527,375,858,
667,309,132,286,015,089,134,324,714,504,254,619,525,330,878,423,138,490,171,
669,614,446,592,312,951,729,376,996,162,576,483,408,629,557,677,223,329,037,
570,225,979,007,618,102,160,054,965,782,540,815,076,899,395,632,075,504,655,
710,344,255,864,974,715,792,103,176,720,126,476,096,840,613,009,620,430,651,
784,395,293,855,662,153,396,593,367,966,795,191,673,233,273,405,375,110,082,
044,960,508,855,832,731,358,364,049,610,515,940,310,884,103,183,406,555,269,
474,586,094,511,984,521,358,627,321,010,025,936,896,304,464,368,430,332,152,
956,506,157,928,793,332,519,566,274,693,063,012,253,722,899,073,108,513,728,
256,086,990,315,210,806,155,632,048,957,722,193,854,145,513,531,657,846,131,
751,869,616,011,990,320,216,335,027,816,369,670,320,141,687,018,868,227,735,
397,490,127,236,240,398,852,475,164,977,533,350,154,385,518,252,014,353,733,
942,570,753,130,897,925,590,405,357,526,910,280,912,231,615,590,306,410,461,
712,063,734,177,451,298,489,285,327,844,019,862,695,598,778,663,762,547,455,
404,175,434,846,729,032,844,949,114,005,961,669,552,307,903,413,959,887,238,
072,403,507,244,585,025,093,525,771,819,655,196,853,212,147,089,199,020,346,
076,398,610,824,065,456,731,214,531,897,935,107,389,656,743,159,000,461,671,
760,592,012,390,883,222,546,918,111,007,351,911,242,686,117,901,184,809,493,
101,987,898,948,977,459,025,537,302,689,856,827,930,651,214,719,803,209,575,
675,577,526,535,648,063,941,689,119,163,969,131,316,893,744,891,406,490,157,
210,334,475,849,680,452,385,266,194,624,670,462,345,624,718,269,436,005,422,
618,712,829,891,906,233,797,465,978,115,722,534,801,764,120,704,490,986,947,
109,979,303,893,192,613,567,177,331,313,104,931,069,676,694,148,187,468,447,
654,064,858,915,625,024,344,118,933,565,048,086,170,652,218,520,141,438,233,
908,481,578,061,428,230,176,705,727,924,472,617,278,224,747,509,236,547,491,
444,643,908,474,219,869,510,947,279,320,135,324,581,183,691,075,341,631,573,
466,229,849,300,736,685,854,807,698,530,753,997,950,639,592,973,427,605,191,
845,804,848,497,957,001,322,915,954,790,755,695,499,660,155,597,922,096,751,
238,100,427,064,123,765,783,122,968,072,795,058,827,686,976,784,694,741,781,
103,392,131,359,882,519,759,567,508,371,115,283,856,410,834,960,829,973,856,
310,594,623,827,448,916,113,168,334,696,161,662,889,727,205,979,483,191,837,
720,703,210,302,648,816,202,296,457,930,657,820,714,225,063,748,234,900,661,
007,688,128,283,276,413,794,099,875,950,366,388,343,026,448,365,639,821,703,
701,257,888,892,893,013,231,930,438,925,181,678,958,256,201,648,011,844,324,
918,242,008,654,969,409,362,368,952,134,822,504,351,255,420,299,273,592,706,
240,359,838,940,371,821,327,007,127,566,342,331,577,087,834,336,763,618,905,
578,312,575,626,745,174,331,081,646,444,676,075,454,908,166,804,449,414,275,
584,684,463,122,740,763,340,265,520,943,653,056,967,020,811,458,079,263,300,
021,875,743,892,234,992,500,072,932,024,931,092,245,024,282,800,762,937,002,
680,058,918,500,634,997,176,226,924,167,437,137,898,751,741,770,159,826,424,
568,674,494,960,686,734,991,053,684,725,850,563,803,813,020,916,628,331,938,
553,524,162,955,662,593,283,673,834,749,044,221,331,370,409,238,339,350,779,
064,832,214,777,993,722,493,784,217,599,669,364,537,295,568,349,269,955,914,
973,921,123,216,485,695,258,356,930,679,896,674,473,235,346,642,777,878,014,
252,536,821,965,599,576,377,824,392,898,627,934,454,781,568,048,375,339,498,
994,911,539,358,751,343,058,095,013,277,147,905,583,033,372,643,418,052,862,
354,031,924,944,473,016,659,237,832,823,008,402,751,562,496,247,547,831,088,
958,736,618,014,611,813,248,823,014,119,857,875,516,703,149,415,391,229,963,
594,520,350,608,859,307,300,324,930,949,432,345,750,253,951,772,735,563,376,
944,312,348,399,510,564,559,609,345,519,146,678,748,164,674,849,052,080,771,
444,360,048,579,321,883,155,134,266,271,391,158,828,014,033,999,476,206,518,
229,648,707,147,617,444,144,356,881,702,186,029,365,240,966,843,845,600,945,
068,073,372,734,031,361,159,538,259,606,374,651,620,795,217,848,545,001,575,
856,235,583,114,853,862,154,891,081,640,378,693,416,555,406,524,733,801,745,
186,941,648,953,520,775,867,536,691,510,805,550,472,294,508,730,461,476,420,
757,526,410,907,478,809,085,832,460,821,994,540,021,300,125,670,215,189,998,
001,265,132,782,535,133,170,785,177,158,024,165,163,913,844,744,556,552,463,
934,611,530,287,063,240,928,317,609,566,933,049,359,551,837,258,369,210,358,
250,262,095,791,386,747,197,626,080,535,404,804,743,160,961,887,553,044,900,
543,970,979,403,874,755,309,666,768,370,551,141,359,858,994,613,506,810,040,
083,640,387,073,215,692,738,002,324,600,314,322,812,391,206,534,624,690,605,
362,588,668,828,264,373,308,820,831,606,284,522,713,350,061,461,951,363,224,
527,078,277,537,030,962,614,625,446,420,485,237,015,648,763,272,752,412,044,
356,548,550,145,234,620,057,838,598,862,995,448,470,495,760,191,380,894,103,
089,062,445,062,614,717,986,977,480,693,065,191,636,061,552,592,230,071,220,
863,609,535,119,427,521,656,226,377,206,097,453,425,436,653,017,847,212,335,
478,746,606,687,506,475,304,575,874,373,104,921,689,253,646,096,495,075,111,
429,607,055,172,097,044,927,618,535,984,919,489,687,645,082,746,970,544,084,
508,380,737,533,702,021,261,642,032,757,204,720,957,917,611,939,141,206,987,
093,726,807,320,325,011,004,086,779,317,951,074,892,764,780,336,768,284,394,
836,173,137,622,644,776,423,733,072,077,406,134,322,025,670,103,939,475,122,
156,710,460,275,514,966,732,967,403,374,020,537,102,916,037,600,324,074,359,
249,704,029,405,111,760,895,156,975,774,045,099,826,334,204,097,301,403,083,
546,398,584,752,841,324,683,802,871,383,081,611,927,814,710,402,514,331,209,
975,711,960,509,990,538,483,002,271,251,938,815,074,059,241,145,431,373,362,
522,827,764,229,146,146,131,868,416,954,765,826,295,988,358,493,657,606,119,
920,786,285,297,237,958,999,887,768,642,860,040,352,961,726,473,138,340,183,
764,177,161,476,890,863,913,627,190,621,472,739,981,527,803,194,686,928,210,
324,458,591,187,335,162,472,323,106,610,950,130,663,186,458,454,170,239,542,
344,737,562,851,932,209,716,969,659,019,121,671,024,660,157,393,644,313,837,
141,743,705,541,311,419,032,539,514,297,024,235,364,055,687,859,780,502,877,
921,956,075,008,661,337,750,233,012,094,918,530,693,825,281,607,969,943,828,
506,705,937,605,771,879,873,654,977,824,594,445,011,005,866,015,311,717,447,
765,236,853,901,396,014,069,155,078,642,909,124,847,753,369,891,947,179,554,
422,340,745,650,819,015,556,779,419,625,651,246,145,572,851,484,287,297,155,
710,467,021,102,019,972,542,660,574,860,111,542,269,612,575,302,649,437,286,
673,191,960,268,041,357,175,845,411,620,713,227,905,346,728,233,252,616,408,
612,134,815,023,938,590,606,831,803,330,953,958,431,502,181,921,589,665,089,
405,353,841,300,947,832,777,867,042,110,657,519,548,372,558,166,004,699,474,
258,164,485,182,615,045,378,869,093,486,236,572,428,721,657,762,719,644,380,
989,962,699,771,879,063,873,392,144,827,196,328,011,064,762,824,634,560,886,
032,026,212,323,373,927,772,241,568,748,689,016,841,903,526,037,100,769,389,
117,997,626,992,490,707,828,569,003,000,427,886,320,631,398,894,396,416,474,
664,200,377,959,780,715,736,019,448,835,570,780,225,593,641,992,851,530,891,
413,513,784,161,372,757,153,782,200,014,213,656,141,075,983,410,994,337,764,
312,288,951,397,584,073,612,285,171,004,323,737,783,853,430,527,610,397,799,
056,480,788,279,006,336,423,213,653,944,245,249,232,255,092,632,780,771,408,
180,684,071,930,084,148,377,380,114,443,797,304,756,103,444,926,321,778,428,
108,399,721,448,462,772,758,944,920,867,195,544,575,684,516,353,396,957,403,
296,993,857,195,299,491,982,754,363,764,222,147,485,632,421,353,085,218,942,
909,072,907,273,320,575,118,715,602,215,415,756,725,729,170,761,043,269,507,
920,035,224,924,655,738,338,012,204,297,239,398,382,802,315,442,210,310,953,
643,351,741,658,559,169,120,318,639,123,316,112,743,703,584,273,032,535,807,
658,334,833,127,093,896,154,881,767,421,878,848,276,153,199,613,894,931,691,
855,819,770,297,971,425,125,750,117,752,955,800,442,768,258,200,004,683,436,
217,425,881,431,667,570,053,819,612,640,794,975,972,050,468,607,974,323,903,
344,522,668,116,818,274,447,668,654,056,185,546,508,658,473,454,912,290,148,
960,588,535,785,095,039,130,244,838,419,339,830,601,349,179,096,504,820,524,
536,781,239,327,445,337,389,785,219,722,514,859,686,809,204,857,203,087,215,
727,366,598,187,515,623,301,225,816,785,885,680,094,853,441,099,266,671,072,
248,726,004,931,849,891,158,445,232,366,842,354,595,084,727,250,596,453,959,
345,110,723,974,283,708,043,136,857,944,752,374,809,411,625,151,347,171,421,
283,384,004,226,614,850,094,604,329,999,882,801,781,768,840,060,987,231,917,
286,175,609,754,315,935,382,738,116,662,779,963,086,701,583,450,513,279,272,
236,863,670,029,620,970,873,974,872,333,100,080,223,146,441,377,137,814,351,
207,551,614,881,420,343,311,641,786,795,663,093,054,813,852,953,962,959,393,
926,927,329,646,581,735,288,712,449,927,542,313,417,740,228,260,409,942,028,
918,117,894,179,661,594,856,654,397,949,544,959,453,643,777,924,675,573,785,
119,933,644,869,412,494,493,074,822,325,261,635,469,919,506,695,188,475,204,
796,582,284,753,971,940,019,209,930,572,729,264,675,145,653,895,249,458,488,
501,806,902,064,419,581,229,797,990,246,773,850,568,004,028,920,103,067,772,
674,390,839,808,035,988,961,740,812,188,202,111,179,383,265,754,372,889,396,
992,797,573,594,494,848,201,171,419,547,039,494,622,909,887,462,181,848,620,
013,215,071,556,362,211,591,540,716,558,179,798,759,873,869,536,130,023,500,
707,303,439,674,134,395,048,983,903,819,201,575,025,383,338,707,867,008,418,
978,528,347,820,851,118,132,047,489,034,051,695,158,149,383,601,488,152,249,
428,447,505,419,945,651,354,368,928,661,097,883,757,758,271,983,703,830,229,
845,631,026,380,490,246,313,584,893,265,054,123,795,588,123,790,401,167,079,
924,210,755,906,041,722,178,648,962,396,668,233,378,964,192,502,919,370,783,
424,456,819,420,709,541,519,542,842,826,492,101,721,415,217,884,602,067,406,
398,781,114,245,054,107,095,084,304,897,536,532,015,392,429,249,459,844,594,
863,509,065,423,734,037,502,932,466,130,814,941,733,324,171,659,851,062,436,
307,456,936,187,294,998,670,413,140,679,737,974,803,554,505,658,787,879,150,
830,409,183,141,488,387,047,900,706,629,609,754,752,400,719,074,872,444,828,
952,011,325,875,357,300,526,306,277,911,893,200,518,692,633,228,301,704,220,
600,427,316,741,229,158,698,206,720,898,193,667,634,296,069,299,398,055,508,
079,127,766,025,075,424,221,800,865,254,955,460,271,273,893,509,404,103,930,
582,270,625,005,958,740,708,124,127,295,479,690,455,487,324,119,834,389,188,
766,246,919,083,840,784,623,686,734,577,540,719,758,562,595,578,821,473,758,
099,261,537,354,108,527,683,177,849,499,397,993,725,824,575,108,195,751,001,
949,801,149,412,831,438,333,919,424,714,607,904,112,927,750,462,695,078,185,
466,396,163,492,506,729,216,105,650,863,772,268,562,987,909,366,974,641,617,
227,811,318,882,424,695,161,454,755,100,470,525,970,735,398,115,049,903,167,
874,023,089,877,893,624,070,630,712,784,886,570,845,734,680,054,851,332,124,
241,667,239,372,999,687,470,989,649,207,018,035,770,594,345,120,901,872,347,
612,510,132,369,126,170,617,276,131,655,324,944,250,549,020,476,638,463,146,
021,781,194,757,458,375,569,666,034,311,217,653,198,808,245,187,316,389,703,
541,083,053,038,367,309,469,866,935,355,903,048,300,088,605,643,069,271,220,
799,986,022,468,609,990,887,517,975,941,139,693,383,508,111,805,362,821,529,
959,517,786,903,283,168,528,546,517,385,019,554,386,583,165,304,975,858,919,
564,421,972,247,431,767,545,260,892,887,313,795,002,919,140,025,965,436,408,
523,672,318,636,829,263,851,298,323,710,449,335,811,513,159,892,563,300,660,
416,106,856,013,996,270,640,172,130,399,374,700,544,132,306,925,990,404,500,
921,325,175,873,693,673,610,883,384,412,155,723,952,590,831,090,632,168,907,
738,503,175,226,904,174,307,144,177,397,467,522,429,423,615,027,868,973,399,
396,293,434,607,467,853,349,159,102,097,448,769,357,474,015,862,289,107,281,
606,555,268,576,324,096,009,370,465,385,792,362,992,807,666,929,180,440,606,
346,068,443,488,546,077,038,389,837,118,939,243,999,430,003,826,467,708,374,
884,724,638,374,689,225,845,199,530,996,203,470,252,620,090,461,437,498,226,
925,712,334,483,352,523,524,775,569,965,676,139,722,357,999,882,338,579,213,
880,587,255,755,962,644,106,168,625,040,193,093,422,612,684,001,405,285,282,
181,392,293,123,935,372,680,682,510,130,119,292,197,930,792,088,644,262,406,
169,663,032,555,961,228,297,838,512,431,732,715,452,668,193,486,712,529,346,
358,798,040,068,813,753,263,316,230,571,345,337,614,793,605,021,602,579,028,
390,941,798,604,566,230,931,093,858,402,215,933,731,640,903,004,429,689,662,
684,806,805,470,606,733,655,331,075,031,502,829,463,423,678,939,519,422,031,
762,093,058,948,097,513,779,674,722,549,363,136,737,133,425,801,423,705,434,
659,966,075,543,130,228,806,235,130,462,317,743,599,590,964,078,964,539,221,
733,626,666,776,690,960,177,043,674,799,202,743,719,896,607,473,034,444,943,
030,478,258,070,334,187,977,916,367,743,140,719,838,802,184,603,550,664,890,
935,895,905,048,754,739,933,963,926,929,106,131,499,901,532,562,726,593,120,
353,709,572,048,780,612,715,521,626,237,490,351,851,896,215,173,310,779,748,
023,608,477,760,023,722,959,112,980,051,392,454,125,183,085,803,158,298,160,
945,021,605,636,696,820,893,727,699,575,481,472,864,157,993,750,258,578,205,
319,003,710,495,816,251,732,016,755,428,494,286,334,546,397,919,558,833,788,
914,995,362,746,355,192,708,186,106,526,361,013,535,420,385,129,731,117,432,
390,225,903,151,072,127,924,532,404,874,681,588,137,687,886,280,429,882,581,
518,614,961,241,234,626,677,008,907,487,580,423,539,768,799,493,180,622,323,
110,385,450,399,135,058,974,314,434,976,792,717,099,136,952,689,732,476,812,
390,167,839,734,178,479,309,758,148,088,712,059,321,445,170,420,046,878,476,
700,089,623,097,243,752,585,876,600,836,487,438,201,435,644,874,478,642,470,
886,959,332,156,706,776,034,960,115,319,092,432,147,363,787,330,076,869,458,
821,410,232,044,400,459,627,795,508,550,185,997,847,294,597,916,034,927,863,
720,877,436,499,585,739,595,619,794,631,713,743,013,549,053,853,618,705,976,
362,881,115,449,256,338,286,531,173,137,393,928,771,978,792,409,567,524,532,
903,429,171,196,369,565,305,614,990,762,851,651,092,111,692,086,703,224,907,
222,605,954,490,404,922,665,697,919,628,559,749,613,737,547,500,001,052,435,
631,047,510,979,666,542,587,906,247,417,579,465,756,073,928,984,321,414,168,
789,575,532,376,137,399,053,006,623,207,175,233,892,530,744,433,796,980,731,
754,596,855,126,934,939,644,869,078,171,770,793,194,097,976,472,454,260,689,
122,948,906,230,870,114,353,118,440,853,368,519,087,801,721,919,575,532,913,
033,750,028,411,681,252,769,338,557,634,222,097,044,741,049,891,113,096,710,
862,799,850,022,315,929,685,285,299,085,804,915,541,076,125,713,148,942,217,
963,644,722,702,212,875,729,136,376,024,174,504,850,077,847,981,278,806,039,
137,753,623,683,779,719,549,949,449,379,474,463,506,979,273,270,424,039,330,
886,998,770,755,779,387,815,381,086,732,675,909,083,671,873,558,208,781,705,
140,725,562,498,737,627,278,446,439,699,297,555,384,407,554,733,900,402,980,
031,217,325,609,108,321,507,053,594,545,012,891,632,264,330,260,126,857,702,
005,628,164,170,323,568,135,834,961,403,279,595,747,673,411,864,693,508,843,
614,136,709,471,005,294,164,822,276,844,409,096,586,767,739,795,071,007,834,
713,365,089,217,511,625,786,861,894,259,797,220,848,166,057,584,934,927,167,
911,291,853,819,313,700,492,904,273,068,421,121,504,484,567,995,967,384,338,
115,395,558,793,258,415,527,105,614,171,341,030,480,904,511,616,913,486,875,
264,200,071,868,510,088,150,723,144,564,338,481,157,819,889,444,911,572,194,
319,744,609,571,190,223,968,794,412,032,055,092,998,078,717,904,896,395,074,
946,195,240,860,906,763,253,780,508,807,048,199,422,465,318,567,381,044,302,
713,389,874,677,384,092,907,143,113,870,311,423,782,742,703,465,908,082,514,
700,472,519,089,587,070,115,294,701,100,636,861,517,754,306,940,564,080,003,
671,327,728,520,734,659,897,571,646,631,023,303,498,056,574,085,143,918,402,
137,644,506,332,980,276,811,859,796,452,552,641,924,134,571,253,217,846,095,
447,341,574,074,308,257,112,906,048,510,299,517,471,017,891,562,073,731,921,
287,686,996,010,276,127,430,083,783,685,579,972,109,332,951,100,149,926,048,
243,721,320,981,794,343,459,241,412,799,529,823,616,366,451,594,855,924,672,
267,773,852,606,166,291,245,565,057,986,663,855,199,489,510,971,958,886,373,
307,962,662,852,780,181,951,780,938,261,656,267,323,779,503,118,941,271,078,
087,540,667,103,053,136,944,894,597,258,566,876,118,318,507,781,544,291,087,
984,944,452,621,144,964,990,143,519,661,372,545,026,193,028,967,163,269,008,
702,864,231,815,216,208,259,637,897,769,384,991,619,545,394,093,752,212,776,
735,849,377,260,606,375,581,113,192,464,594,651,312,471,249,813,950,065,975,
476,911,400,073,238,933,056,817,951,977,108,235,987,660,244,861,247,690,900,
743,031,421,113,613,513,067,562,413,007,172,085,744,815,163,260,062,516,259,
879,122,713,698,536,225,512,877,301,712,674,406,105,865,048,056,219,074,016,
928,345,616,394,677,993,576,534,843,919,911,859,192,776,926,929,272,600,047,
750,658,459,560,402,947,035,430,135,959,022,876,921,009,331,880,040,824,517,
924,185,104,961,404,061,388,203,777,192,827,027,476,671,790,546,370,417,809,
295,151,483,296,967,213,130,968,143,893,061,488,125,459,401,140,411,018,307,
376,765,166,434,974,312,810,905,281,745,682,579,273,786,338,111,665,590,012,
136,379,283,110,168,551,469,970,601,444,410,704,602,466,630,563,184,408,663,
558,413,303,397,205,569,276,103,282,659,274,565,582,409,568,810,048,966,626,
489,761,889,686,870,652,176,906,745,768,794,341,531,303,369,683,324,739,508,
044,950,383,118,075,405,921,368,178,731,109,402,363,769,963,252,816,994,000,
094,834,541,026,575,244,033,722,682,762,468,852,537,557,009,233,001,567,603,
486,381,042,846,782,979,171,210,987,667,595,422,624,615,706,186,812,769,036,
826,259,528,276,743,623,500,369,708,885,152,011,091,137,361,015,694,902,848,
673,086,555,686,199,003,814,575,739,590,804,589,311,177,981,107,577,827,401,
545,127,169,856,695,242,883,012,154,439,398,171,687,019,098,169,211,115,110,
070,824,688,841,256,487,686,823,072,237,236,376,222,555,482,455,229,876,265,
138,106,836,918,362,765,665,486,271,727,519,022,598,860,262,774,328,606,282,
921,819,257,446,272,196,000,676,067,784,094,784,098,453,463,839,813,158,431,
852,451,398,137,329,379,328,158,089,786,826,829,074,023,335,861,888,342,040,
218,524,712,778,748,673,571,249,784,711,022,559,599,861,744,136,304,756,134,
588,480,022,534,734,615,210,535,272,643,285,682,940,732,810,665,651,691,074,
235,497,789,767,642,900,857,907,946,209,374,701,333,641,438,986,921,296,741,
687,868,345,894,801,120,916,624,295,251,231,894,333,806,277,582,071,963,099,
418,202,142,768,643,078,391,183,545,908,559,909,124,438,589,896,074,284,655,
545,321,531,021,269,871,205,985,807,107,876,624,205,806,440,996,203,257,611,
814,845,595,127,615,383,061,330,388,166,220,286,768,950,414,137,559,927,674,
663,467,369,912,079,156,618,991,795,789,373,848,061,053,790,567,218,867,332,
888,701,474,478,762,348,840,524,146,593,456,688,011,626,649,376,718,776,057,
803,385,167,326,955,026,068,332,470,342,123,392,370,550,236,183,596,634,031,
069,773,228,891,462,478,682,979,664,824,893,423,205,359,426,856,845,285,764,
993,539,321,457,407,905,720,897,303,468,691,945,786,643,960,703,759,938,792,
711,770,576,385,666,048,945,527,493,143,307,142,420,650,023,191,309,597,324,
269,708,586,703,229,449,855,247,802,127,667,410,211,131,975,912,523,645,923,
412,766,257,793,167,775,664,663,876,581,141,551,116,302,195,606,154,172,884,
760,763,663,841,806,374,152,184,608,466,994,534,888,209,857,394,601,895,188,
411,975,339,702,620,381,218,726,279,341,294,971,753,458,966,473,643,082,193,
160,309,379,784,094,172,861,188,581,447,675,250,721,916,151,036,884,410,290,
597,865,799,053,092,094,905,792,704,375,030,168,362,059,316,171,005,610,331,
618,197,015,096,267,425,350,467,555,322,666,834,758,707,350,050,594,133,803,
824,633,306,072,313,441,565,329,816,323,145,959,741,477,687,555,208,266,489,
317,827,790,010,575,017,704,241,779,902,630,266,404,240,496,865,289,283,179,
639,894,401,104,275,956,460,364,222,201,045,478,786,706,835,100,182,894,808,
268,530,263,427,526,526,561,365,077,840,822,734,633,859,048,805,466,403,607,
783,913,014,571,112,147,612,052,328,571,764,736,908,638,764,594,478,769,943,
624,074,199,612,691,630,580,703,532,889,861,882,422,288,665,115,589,294,186,
155,311,785,611,258,460,725,296,925,052,559,580,944,209,348,848,062,227,551,
773,113,347,877,210,398,097,725,084,190,212,023,602,381,307,125,060,416,824,
527,641,304,529,133,770,773,136,845,398,598,409,214,127,489,563,007,329,079,
037,747,361,427,322,520,058,307,632,403,258,856,823,191,543,503,678,694,184,
360,896,606,380,196,335,145,093,738,457,204,678,177,609,377,741,234,468,477,
908,471,748,300,733,474,718,259,250,346,073,042,968,877,080,711,902,384,230,
119,168,997,650,149,160,855,825,695,148,419,535,598,733,784,977,624,135,913,
481,518,216,234,226,362,283,000,932,006,398,164,350,385,122,148,952,127,251,
137,885,859,959,597,708,693,674,941,074,181,320,284,727,967,597,011,480,440,
516,720,700,019,814,178,988,415,911,037,143,365,258,596,476,160,606,174,884,
154,609,113,097,875,883,844,027,247,432,300,939,005,419,137,373,648,745,141,
834,100,208,287,610,565,474,051,232,811,064,942,033,147,106,493,631,772,494,
126,835,597,480,662,305,982,625,514,541,037,083,281,820,751,343,980,937,296,
073,698,117,357,494,340,062,368,213,958,539,383,286,239,460,599,676,386,648,
627,219,986,561,258,576,446,437,801,828,753,238,897,861,135,259,187,636,888,
981,431,265,954,102,912,124,977,452,082,492,668,326,133,762,940,769,259,732,
006,058,488,229,709,484,861,935,879,260,817,074,899,617,793,912,060,263,467,
786,157,944,403,172,471,083,189,096,325,192,552,237,038,099,611,769,578,429,
803,354,697,191,154,626,856,734,595,129,283,360,605,042,237,642,730,379,799,
446,079,679,670,005,442,878,501,534,432,700,921,666,166,207,575,102,643,513,
344,721,374,857,376,744,917,369,372,810,573,835,994,538,467,753,527,523,581,
640,550,424,304,654,696,578,116,946,323,466,807,144,792,006,942,393,466,070,
946,935,571,853,364,306,346,558,127,354,518,479,206,803,377,613,344,747,313,
647,974,674,500,856,354,986,367,495,617,003,768,011,605,747,405,720,577,379,
516,298,180,842,531,361,253,601,981,884,182,298,793,274,263,449,727,996,479,
472,584,517,048,441,874,543,351,601,787,074,112,703,851,964,230,031,750,894,
372,267,124,064,713,873,663,623,232,283,594,497,484,022,896,621,189,085,721,
519,597,478,916,477,101,694,542,849,537,599,565,530,896,500,375,396,063,797,
413,860,833,456,528,504,012,319,092,009,609,675,150,582,827,110,782,739,826,
412,077,716,529,222,670,740,749,034,216,344,377,070,004,454,481,749,123,335,
114,046,467,823,821,755,788,002,381,959,847,102,165,168,561,162,297,605,733,
110,713,008,818,883,274,298,975,839,327,923,242,768,067,254,911,040,431,018,
218,486,142,992,267,252,974,273,239,621,470,232,440,297,560,914,410,562,160,
349,612,744,566,982,075,729,275,164,198,582,430,016,714,850,498,139,063,320,
060,569,150,669,946,316,190,507,985,751,859,452,014,479,262,253,184,350,523,
259,999,552,025,353,039,791,306,759,587,976,306,406,135,500,390,260,730,131,
003,936,480,012,087,724,249,013,115,732,882,476,300,422,716,529,053,556,678,
967,471,397,352,465,175,792,830,266,421,994,312,308,457,290,453,162,944,167,
946,402,029,185,835,375,200,016,098,854,197,392,450,575,174,777,686,244,905,
448,630,552,634,741,854,603,782,118,507,968,699,586,830,230,156,195,281,794,
715,922,381,018,312,838,506,423,886,538,874,677,286,594,975,394,548,662,173,
182,470,812,386,064,875,019,981,662,745,478,013,563,735,079,086,754,693,415,
708,332,732,530,628,282,560,815,967,063,380,769,424,016,410,323,775,537,403,
882,086,103,756,373,456,931,362,277,631,856,285,096,568,134,885,942,985,872,
121,611,115,909,926,578,501,655,137,764,609,223,041,486,220,139,182,902,759,
176,760,624,636,707,735,570,863,833,349,725,621,607,918,439,671,452,376,234,
593,532,476,553,336,359,841,605,007,458,416,915,677,899,929,329,896,320,870,
817,259,579,601,362,954,799,372,967,131,080,533,520,428,649,138,232,482,426,
585,250,498,393,812,767,659,070,683,798,592,935,422,466,894,258,192,919,022,
332,948,972,545,291,976,485,986,147,519,023,959,731,412,187,786,746,324,611,
108,362,497,026,373,500,255,500,614,200,250,844,927,570,193,170,066,562,846,
332,443,920,015,512,005,665,822,296,196,681,994,154,046,529,947,832,453,384,
659,178,430,324,489,585,944,240,252,350,638,414,978,531,543,010,713,399,982,
119,381,048,950,336,115,684,334,411,511,557,621,411,360,295,370,425,540,218,
087,255,136,402,403,509,307,279,266,505,297,430,722,482,040,399,388,766,472,
411,917,646,081,181,075,236,884,456,716,251,843,281,333,291,515,892,784,603,
246,086,360,103,835,164,736,426,284,833,218,247,123,136,149,228,615,318,015,
509,164,755,150,499,947,699,071,930,422,473,869,533,970,693,005,562,376,332,
101,306,356,523,817,868,914,755,255,708,607,861,126,118,886,724,396,686,348,
206,542,718,254,194,645,684,742,891,388,573,552,731,287,360,458,192,176,884,
444,424,266,709,773,446,033,623,872,560,402,819,011,795,673,857,736,272,071,
792,869,772,366,775,514,424,182,258,104,812,956,536,497,876,376,241,906,775,
452,615,193,831,745,150,859,421,412,381,102,916,769,946,585,790,104,955,763,
808,841,155,204,373,379,239,602,309,566,854,968,735,980,522,123,930,822,172,
948,056,885,978,697,977,995,679,086,243,215,737,687,464,751,731,307,840,958,
101,551,521,380,270,809,726,725,531,067,536,744,548,158,408,799,840,014,782,
844,933,877,494,063,894,765,839,568,762,642,367,819,076,341,386,487,819,586,
290,576,265,847,136,977,802,288,971,805,187,969,173,751,809,201,758,898,349,
733,386,735,696,276,566,316,317,098,842,663,125,171,575,878,435,656,576,850,
398,845,909,756,946,005,976,367,179,264,971,586,372,100,391,142,936,570,818,
130,515,312,145,862,483,850,409,800,171,725,028,340,009,664,892,052,675,738,
673,543,631,214,973,239,825,104,947,512,757,850,007,203,837,842,906,516,923,
208,997,599,979,765,645,727,804,941,980,644,676,009,161,943,138,504,813,716,
353,976,525,347,067,721,676,843,850,354,019,806,493,137,402,340,933,681,405,
926,738,564,730,503,210,583,121,108,836,234,382,013,058,460,093,106,047,776,
219,956,599,214,975,383,890,301,065,674,784,353,803,143,526,364,710,733,707,
754,101,243,457,608,061,461,181,150,824,532,881,456,718,385,119,970,159,180,
328,463,841,170,457,231,042,765,584,548,979,184,035,988,996,454,785,152,174,
730,980,594,866,657,548,773,510,887,171,543,527,168,818,152,947,224,780,057,
497,799,312,581,036,249,907,619,179,690,304,036,944,266,245,541,794,674,890,
384,053,580,774,130,848,303,901,883,208,875,937,085,784,869,777,515,013,105,
940,290,386,780,973,107,872,210,886,813,230,982,498,225,899,371,369,333,747,
798,811,024,474,389,461,579,825,714,237,122,814,258,966,227,768,357,729,246,
506,145,677,909,715,051,783,998,056,479,054,532,371,324,303,179,746,176,179,
222,209,267,122,499,340,740,846,337,833,145,435,967,083,027,806,119,591,142,
937,694,416,822,939,613,360,029,339,369,657,999,452,578,183,295,909,911,275,
583,622,643,224,592,214,229,420,164,528,279,681,899,997,923,251,840,758,305,
232,383,904,578,169,080,256,018,280,571,931,879,638,821,036,576,190,806,082,
720,308,719,872,234,344,846,583,119,280,514,421,245,271,257,707,815,322,636,
664,984,916,087,999,918,999,407,788,710,666,608,367,935,505,401,583,566,849,
970,749,211,630,228,618,528,049,616,073,346,290,236,443,523,213,870,610,987,
889,613,408,117,560,748,338,306,309,592,236,255,533,975,715,244,985,466,672,
497,831,319,879,871,706,470,347,431,073,165,472,018,631,459,616,518,649,064,
688,420,755,470,399,389,106,585,369,656,341,184,530,194,143,466,217,056,652,
519,649,385,655,244,247,917,496,886,754,488,053,864,768,066,764,427,519,749,
141,449,992,657,460,999,227,611,865,506,750,522,088,987,837,387,246,105,604,
726,118,326,504,899,788,926,464,969,898,275,003,784,087,310,239,584,800,540,
516,631,748,965,671,260,452,063,757,285,563,207,186,875,152,659,537,556,765,
825,756,750,925,238,979,020,230,751,684,258,076,186,078,592,807,021,122,850,
988,678,129,943,096,768,340,631,186,523,498,713,034,213,913,257,165,013,125,
302,649,326,344,248,026,731,948,057,384,842,691,452,880,214,908,287,184,999,
405,205,233,856,717,278,961,042,897,160,580,579,122,405,598,502,511,899,297,
485,264,671,211,605,858,917,363,434,861,384,182,041,547,557,549,657,309,862,
903,447,104,104,609,633,665,694,178,260,379,338,501,900,275,751,210,387,159,
826,598,030,075,536,691,925,147,397,726,925,413,991,797,268,401,317,834,822,
022,525,572,047,971,258,501,864,219,978,964,842,583,680,111,918,521,773,684,
541,774,303,086,424,945,857,649,682,673,995,118,644,606,532,612,531,114,096,
328,805,216,180,824,480,011,622,743,966,604,446,628,765,540,481,958,607,730,
223,863,536,740,865,262,501,905,345,948,583,859,635,761,737,540,560,439,611,
331,727,425,601,446,018,053,508,769,761,451,054,966,504,018,200,522,958,280,
481,968,242,993,298,592,837,637,096,718,575,992,231,407,208,633,193,726,049,
649,660,124,039,582,685,825,766,156,226,872,088,098,271,288,230,679,250,518,
378,394,889,707,742,254,358,084,303,546,762,856,069,690,474,869,604,781,591,
278,308,493,657,181,999,776,747,466,674,782,388,723,932,847,752,855,670,719,
013,357,256,489,871,857,463,128,158,896,549,885,046,078,380,383,184,788,163,
971,311,256,731,465,268,888,229,174,282,472,859,079,354,336,116,628,212,380,
485,331,874,393,909,572,328,872,679,403,654,757,975,808,503,289,767,580,172,
106,697,664,906,803,697,545,228,446,583,950,095,971,653,730,656,111,611,487,
085,532,599,692,298,917,197,515,457,489,301,037,545,535,450,640,488,176,410,
526,288,336,850,288,710,572,208,724,345,998,819,703,774,320,773,682,587,726,
964,445,117,734,866,584,209,497,980,178,449,089,618,973,123,999,014,344,189,
118,152,200,309,389,865,435,284,999,068,395,672,824,125,826,069,982,578,962,
191,204,891,698,436,555,980,558,127,438,258,942,059,449,051,563,552,680,465,
847,331,223,141,989,841,618,973,967,590,355,386,346,280,755,192,301,808,376,
386,312,683,496,089,894,576,483,946,453,902,918,386,716,428,396,681,713,414,
947,305,524,867,123,576,893,581,321,979,482,611,695,370,731,745,598,968,070,
446,916,204,243,674,646,774,139,647,592,102,048,003,616,490,412,110,486,528,
881,083,959,127,899,213,533,569,859,237,954,709,397,365,500,818,630,794,090,
345,052,705,426,929,931,243,985,666,535,763,442,392,587,227,673,308,923,716,
746,722,219,615,168,038,309,005,854,869,365,293,702,980,798,002,227,430,198,
378,410,660,577,331,107,617,161,629,505,758,125,040,889,681,665,674,149,077,
094,662,479,455,474,101,695,822,838,755,054,689,817,133,667,957,900,865,951,
531,492,327,836,396,554,564,860,678,688,683,961,334,019,014,749,949,098,552,
099,040,137,153,117,719,299,554,040,214,681,995,935,303,667,624,355,918,956,
749,437,801,648,047,913,658,908,144,622,391,860,848,312,400,398,784,769,959,
287,294,106,133,812,603,479,597,565,952,064,693,367,079,148,638,436,985,508,
825,432,386,487,071,273,480,399,110,297,832,337,010,426,775,977,088,321,988,
188,465,823,851,292,166,730,990,893,708,682,718,450,412,563,127,311,166,220,
933,256,646,281,213,144,162,984,652,911,177,178,322,500,184,418,545,522,022,
713,562,354,795,723,845,244,125,166,003,290,615,850,690,233,110,020,623,386,
189,818,973,466,898,565,321,575,463,654,493,313,295,441,538,293,634,889,082,
753,105,791,364,126,632,979,020,628,654,125,785,390,746,931,699,284,763,191,
230,768,469,522,510,530,132,503,640,041,282,024,741,433,336,957,475,601,746,
755,193,860,060,439,778,858,136,816,977,529,510,872,452,237,473,652,992,245,
977,337,254,636,017,660,684,407,050,130,036,292,593,460,873,191,743,797,600,
559,469,658,187,514,650,629,475,592,658,840,259,724,113,262,797,406,637,200,
742,327,475,612,524,970,939,518,884,025,565,663,406,497,292,502,971,861,987,
062,008,473,924,243,466,513,950,150,842,426,938,123,517,478,177,955,119,666,
130,830,638,069,693,531,103,152,869,554,620,438,559,527,494,787,681,495,387,
535,747,865,170,701,816,893,321,053,697,937,031,695,968,385,068,809,743,593,
213,779,353,503,744,041,661,544,801,599,364,980,780,251,218,737,753,225,652,
266,199,711,449,904,328,157,586,978,485,680,905,269,535,694,569,606,863,882,
159,189,788,270,485,226,704,087,695,456,285,348,381,349,983,937,010,904,837,
138,384,119,265,838,178,411,288,226,871,595,545,007,174,674,219,625,960,016,
206,261,328,962,835,707,713,971,290,153,468,937,325,396,625,375,308,987,361,
883,906,006,074,451,741,660,170,571,825,910,847,830,756,301,396,750,854,914,
846,194,539,496,061,577,067,130,062,939,737,930,546,574,878,155,771,687,011,
670,089,959,070,860,576,781,795,796,639,340,349,497,186,788,810,260,025,988,
165,007,053,677,919,896,884,550,206,220,112,029,216,817,039,944,537,102,710,
826,838,669,471,548,980,289,125,756,406,307,937,548,409,895,381,001,327,977,
950,004,251,587,414,763,850,343,639,124,537,985,414,813,406,640,672,394,198,
523,195,848,373,605,650,160,108,842,644,447,999,595,700,253,896,130,679,640,
778,515,872,830,809,920,932,110,131,620,231,104,450,290,024,795,675,787,170,
530,686,647,440,804,775,261,514,060,786,128,149,104,414,341,148,082,456,422,
946,251,356,432,985,244,806,143,955,790,888,985,701,633,321,765,100,080,078,
305,447,546,708,744,367,663,336,778,577,361,149,334,928,249,185,148,302,568,
413,708,494,362,506,501,786,991,597,704,689,532,747,563,686,571,312,055,231,
524,764,934,489,222,827,836,974,703,672,194,695,543,695,704,897,995,495,649,
423,514,420,496,523,087,854,930,089,160,958,552,164,378,972,799,011,143,855,
290,329,360,285,143,490,193,824,008,353,752,843,261,554,900,539,669,335,428,
208,033,765,313,596,675,576,624,203,945,670,926,264,833,691,238,079,301,245,
999,663,272,463,251,762,949,199,363,690,006,472,558,013,117,025,372,920,338,
165,721,168,365,283,467,492,031,084,161,847,663,196,933,889,128,654,730,027,
410,625,999,316,351,342,989,332,320,053,842,797,598,798,448,171,633,655,406,
724,460,059,463,717,509,139,626,689,040,750,284,635,408,712,447,384,770,541,
150,669,940,813,353,515,545,445,673,191,312,893,285,464,916,896,440,682,745,
252,677,386,539,199,924,825,001,426,133,724,157,975,291,711,524,700,757,696,
516,746,851,655,182,877,370,225,149,298,722,046,243,147,064,946,438,494,634,
376,620,593,162,364,073,270,247,120,294,942,935,826,370,783,752,440,151,683,
348,608,797,140,737,621,593,067,171,835,831,940,250,173,197,096,504,219,636,
859,029,845,858,276,678,293,878,423,291,867,251,922,603,535,662,382,887,051,
890,397,222,864,574,613,036,921,841,385,546,095,470,080,665,811,991,093,051,
721,690,002,992,615,699,286,385,236,622,927,042,416,361,245,107,752,211,607,
730,789,822,488,571,429,171,818,212,456,453,512,527,451,827,717,362,541,049,
033,740,885,996,026,113,793,602,217,111,044,617,282,411,592,441,079,844,044,
980,117,065,547,099,309,834,339,753,575,638,097,433,296,432,080,102,341,959,
584,440,104,464,901,656,645,498,664,943,570,041,256,983,845,609,496,243,570,
674,575,190,852,813,688,347,608,339,713,755,954,564,185,894,101,903,252,574,
004,135,600,269,068,094,542,559,106,952,834,654,572,396,795,270,844,675,398,
022,418,788,078,237,981,364,423,961,319,292,716,897,617,966,545,150,219,155,
647,886,319,565,815,119,219,907,279,516,250,852,828,294,382,414,194,883,063,
374,676,864,652,191,220,955,052,734,154,166,302,218,692,125,112,970,703,483,
951,926,180,676,586,011,356,868,923,349,014,963,620,711,755,871,992,976,043,
341,451,238,890,576,538,344,444,963,572,159,926,444,066,508,293,602,072,053,
381,267,050,935,010,914,327,256,394,083,428,751,322,046,722,765,982,339,393,
692,412,024,294,048,891,239,482,989,112,852,698,449,244,655,299,561,052,486,
413,434,039,901,075,776,807,469,166,322,681,242,322,465,176,756,644,766,438,
592,531,652,455,021,844,177,395,577,449,894,487,309,050,635,481,989,336,980,
644,716,194,486,710,714,175,931,091,183,172,996,656,343,876,427,758,891,424,
110,836,410,778,739,797,681,526,653,109,766,410,552,987,098,421,737,297,572,
140,639,907,983,048,325,251,013,568,492,020,482,520,675,067,883,935,220,979,
137,479,041,882,627,098,219,082,545,298,293,102,967,252,691,683,636,240,171,
904,460,217,353,330,177,024,862,001,032,143,283,798,973,868,273,465,815,567,
083,483,045,250,142,512,474,289,949,164,732,539,744,899,846,757,410,630,166,
169,583,374,190,274,926,959,394,413,965,437,465,221,980,191,867,381,826,139,
639,737,047,429,385,688,465,059,446,156,538,528,339,067,696,926,680,754,663,
751,369,708,454,401,681,419,179,573,331,288,655,875,008,294,304,632,070,362,
336,773,379,048,524,163,801,005,419,534,801,246,620,114,765,192,376,377,623,
957,091,010,917,425,801,334,213,286,948,237,515,750,077,517,316,091,094,774,
132,392,272,724,002,435,275,670,404,003,043,011,060,197,439,514,608,750,645,
426,264,778,784,333,675,331,102,642,639,167,510,969,513,278,093,922,216,740,
778,051,792,388,919,529,146,522,266,105,598,980,376,987,599,690,571,156,419,
331,559,549,410,297,856,187,180,129,792,165,902,281,174,860,502,571,467,119,
042,564,166,472,695,459,818,150,622,809,779,528,415,513,334,585,677,400,372,
747,087,984,053,307,842,985,018,564,496,055,623,045,930,770,393,455,701,418,
712,731,467,180,694,786,779,931,336,306,773,919,275,573,016,672,513,287,778,
835,285,381,833,997,415,903,668,616,025,296,050,567,700,864,261,820,312,386,
303,301,062,897,222,963,659,470,881,462,183,463,736,936,915,908,693,218,124,
767,661,841,088,616,825,417,116,444,841,234,001,192,778,246,709,924,010,670,
926,047,390,110,518,554,176,706,796,411,480,713,697,417,165,252,649,803,952,
014,325,429,918,177,364,857,608,892,402,401,939,717,133,512,922,034,222,015,
981,789,860,202,118,663,859,408,002,742,270,816,875,701,498,241,991,292,394,
558,443,154,978,000,444,510,229,557,234,901,301,277,006,723,007,031,508,914,
074,711,557,779,479,953,376,535,929,198,201,977,233,348,854,599,644,691,343,
846,507,283,493,200,554,100,122,276,467,347,442,274,370,319,430,636,050,788,
558,535,824,134,849,076,847,421,443,434,661,646,110,919,103,923,438,527,411,
735,844,112,303,945,462,843,034,201,541,315,772,496,435,957,983,961,850,447,
576,774,255,460,875,839,764,083,049,257,216,792,553,710,379,296,837,598,707,
883,954,702,167,911,621,109,687,964,940,472,151,213,436,623,091,534,611,035,
304,417,413,033,444,477,212,660,539,979,537,822,291,730,674,000,726,955,769,
056,856,342,278,548,758,138,137,140,294,170,810,309,674,924,128,152,920,901,
303,189,964,642,608,335,196,408,128,586,707,602,678,600,922,401,109,341,983,
008,654,146,207,274,826,164,634,914,838,803,106,961,511,714,775,929,963,520,
584,909,217,574,690,232,361,630,577,305,512,674,860,147,026,298,369,568,482,
129,912,885,971,321,903,187,690,896,850,991,491,970,738,368,890,639,461,608,
154,722,165,187,570,647,123,494,025,250,167,343,052,166,095,539,818,907,790,
855,956,441,464,747,265,176,614,157,856,613,285,136,139,948,730,895,867,302,
113,646,250,750,449,763,449,863,906,378,195,227,873,480,750,412,754,268,106,
542,827,979,404,290,286,053,725,100,734,707,784,463,907,218,628,070,525,800,
320,574,170,799,841,503,906,094,779,963,078,110,952,054,138,014,898,214,125,
078,194,082,375,471,870,494,985,044,855,917,637,544,341,146,451,722,870,727,
351,289,397,139,539,534,992,705,633,431,002,064,654,155,923,536,252,856,171,
676,110,326,865,432,804,997,969,944,516,799,304,977,793,323,251,899,880,947,
508,029,211,416,806,367,209,025,714,324,481,047,984,042,929,875,830,348,149,
204,214,425,320,387,158,522,002,145,788,765,612,105,551,801,100,080,210,715,
017,545,503,643,570,941,153,587,541,129,214,023,926,953,716,127,664,533,963,
029,202,261,498,609,846,023,507,134,518,645,815,967,933,843,861,477,890,732,
626,021,400,838,010,480,870,746,196,696,831,878,677,744,791,390,309,607,116,
120,739,924,302,861,349,633,904,360,416,901,826,194,124,348,414,686,852,736,
519,619,722,740,529,371,003,953,957,427,043,786,351,260,822,713,127,879,093,
216,717,561,844,156,843,919,405,509,855,408,471,310,629,883,510,941,753,683,
371,638,566,061,460,013,121,478,523,647,165,247,775,230,338,775,497,908,909,
871,836,967,900,979,810,595,920,710,016,950,325,939,855,958,094,045,804,349,
172,585,184,846,647,683,005,057,072,115,003,424,661,899,721,665,276,193,186,
986,575,979,675,840,687,682,153,877,320,806,914,451,790,084,515,246,617,296,
495,400,814,062,492,420,988,991,682,468,741,582,979,102,885,020,600,299,986,
332,141,660,994,923,618,094,734,469,470,198,572,187,914,952,658,319,247,250,
025,652,834,514,498,862,642,584,815,347,634,325,207,681,263,431,851,502,104,
375,099,136,369,648,331,654,387,232,670,426,773,696,215,528,302,979,543,272,
771,550,433,456,429,086,731,176,993,860,931,546,842,155,462,211,942,444,926,
732,199,340,208,121,413,807,009,254,224,648,249,087,926,814,165,754,312,897,
436,791,597,509,671,273,992,691,866,763,350,900,862,273,454,059,700,186,931,
994,368,238,881,228,570,335,778,751,784,353,982,321,890,269,281,919,589,738,
613,095,348,812,673,297,517,315,898,164,062,910,208,917,670,381,050,051,374,
798,094,569,161,596,882,372,143,611,618,438,680,658,984,672,523,420,852,126,
683,919,541,068,457,090,078,178,336,824,209,056,113,321,031,201,050,339,318,
942,415,387,725,375,817,095,742,226,313,260,044,766,032,642,206,411,612,481,
121,545,647,965,828,198,351,134,817,942,463,376,723,797,583,096,753,792,186,
832,170,371,855,200,095,282,512,462,494,272,849,620,926,566,906,805,624,486,
078,086,412,081,980,769,744,359,447,031,331,738,021,368,218,770,113,724,785,
024,195,672,438,253,934,294,210,890,801,328,470,805,215,693,312,757,438,212,
285,949,789,645,895,477,922,185,472,055,322,403,606,566,785,567,193,086,564,
183,119,759,800,187,329,642,503,983,396,261,497,233,692,467,867,007,814,251,
489,737,998,382,023,501,123,545,733,103,809,867,683,300,159,417,489,023,729,
624,799,506,234,043,487,786,882,233,551,888,102,023,600,225,023,589,392,135,
704,529,402,368,109,753,509,813,156,939,364,517,291,679,163,646,005,299,650,
511,037,016,554,390,294,301,090,597,886,895,035,528,803,317,344,636,758,204,
006,012,959,359,418,557,233,903,147,143,653,542,847,132,169,000,667,643,130,
490,757,782,535,951,325,093,585,990,484,841,983,738,959,999,973,563,281,899,
035,798,465,443,476,732,220,185,118,888,501,624,840,594,441,989,010,419,570,
221,079,843,032,485,764,394,775,242,008,047,609,094,020,326,457,633,549,320,
339,477,040,456,431,533,869,735,316,229,642,042,321,761,369,911,154,901,458,
456,413,017,222,733,341,579,043,908,318,551,286,338,358,040,944,659,268,284,
871,963,919,153,125,299,420,166,669,032,821,616,760,299,022,257,372,831,658,
129,642,210,717,405,400,568,155,609,142,784,488,444,959,279,869,112,679,517,
218,615,978,737,560,880,248,158,987,225,074,996,009,492,635,860,342,502,913,
558,146,746,185,542,546,261,017,088,048,853,136,327,860,013,157,559,261,491,
278,807,731,239,537,969,612,387,201,987,545,471,924,009,266,381,857,127,362,
535,546,513,649,775,379,330,995,988,459,373,234,850,397,925,763,978,729,740,
297,608,237,044,038,588,965,590,395,514,754,617,747,397,306,053,305,184,515,
791,687,142,734,676,405,391,387,438,998,582,893,877,340,270,715,707,406,160,
484,984,338,100,354,430,925,642,412,496,702,760,917,540,103,758,555,814,563,
541,296,534,121,819,177,861,793,878,693,984,092,679,215,597,339,380,994,609,
587,122,168,376,431,540,653,216,762,849,774,988,030,967,308,373,272,928,925,
652,267,457,985,013,339,036,999,305,359,853,195,214,128,458,863,422,895,321,
909,107,007,274,707,296,331,580,296,596,684,631,706,099,747,012,590,385,908,
254,841,085,894,497,673,416,956,915,109,340,745,401,680,905,978,725,696,869,
036,446,853,108,338,534,808,131,094,673,940,383,072,367,328,986,056,939,530,
338,588,298,987,566,524,986,907,132,839,310,413,087,831,556,372,342,424,080,
232,785,474,246,763,085,784,884,098,395,455,316,161,379,819,631,859,827,509,
988,404,997,015,497,621,409,662,961,032,131,679,665,266,881,296,270,460,180,
805,916,298,160,601,498,670,888,281,280,811,913,849,553,010,363,407,182,813,
135,535,034,067,937,489,597,303,354,305,675,911,595,467,600,487,849,418,217,
963,829,690,005,509,713,762,814,374,625,141,778,814,532,988,489,543,521,293,
824,915,942,714,037,599,198,475,241,031,616,601,910,170,651,300,040,156,560,
937,415,088,049,476,511,354,006,771,904,516,372,841,090,781,783,987,616,149,
378,626,451,440,397,131,931,302,100,156,602,492,383,188,910,891,035,868,931,
082,479,808,715,772,344,856,564,105,291,223,762,195,008,526,250,777,361,056,
080,677,170,534,831,937,939,905,825,064,733,413,411,113,897,923,992,453,381,
809,701,405,053,985,176,390,723,942,851,978,162,966,014,722,607,810,259,968,
421,518,917,732,678,956,255,583,192,927,390,989,637,264,306,198,422,237,192,
481,460,196,096,535,036,388,501,564,059,211,339,866,622,126,813,165,932,849,
017,924,461,272,065,296,431,185,610,109,568,020,928,566,291,429,736,228,572,
441,549,496,327,658,924,164,338,857,692,408,617,360,236,310,738,529,064,547,
813,372,765,804,967,369,062,876,780,131,129,655,266,440,343,623,013,113,651,
158,956,036,071,628,323,061,061,262,374,584,043,626,716,232,467,241,588,832,
757,215,266,155,495,818,203,179,836,652,580,513,673,504,681,945,940,576,607,
811,787,152,173,502,679,078,830,470,032,948,952,470,888,666,728,703,474,622,
743,747,726,824,309,208,947,063,854,864,331,760,526,349,907,168,376,599,958,
962,608,525,510,043,025,264,110,612,321,452,741,017,322,664,303,797,840,443,
868,590,064,715,782,327,836,576,738,728,667,509,092,752,097,311,303,274,619,
410,384,962,097,134,260,035,769,067,064,708,671,204,159,467,047,773,463,174,
602,680,345,206,140,606,968,038,272,612,442,631,164,911,688,783,736,530,365,
523,769,626,979,987,633,501,961,950,550,120,056,031,759,908,567,920,238,707,
312,913,498,790,861,280,112,957,316,620,884,360,669,836,044,149,979,414,139,
722,199,825,263,349,496,298,730,055,248,725,137,351,235,314,047,360,944,891,
212,669,056,605,911,381,601,784,891,008,002,105,523,040,869,323,636,340,036,
718,223,065,587,988,001,070,628,179,447,373,641,076,849,621,230,852,027,675,
081,285,111,441,939,270,227,891,252,489,814,801,596,057,557,682,098,566,472,
726,776,442,786,732,061,795,228,638,144,003,191,200,648,969,565,759,292,942,
899,886,485,067,129,850,734,754,300,055,855,861,340,468,985,508,340,224,306,
263,465,988,897,693,325,920,370,641,345,594,774,500,599,180,230,033,956,222,
700,484,299,971,803,138,963,050,808,905,647,772,345,479,159,008,427,092,084,
535,011,942,850,569,208,174,852,479,417,792,641,723,977,295,831,880,256,673,
173,780,995,003,903,107,708,937,064,818,772,062,974,104,666,184,776,390,798,
032,956,189,270,059,036,247,670,494,812,814,573,372,483,860,967,568,308,030,
577,711,045,021,459,024,412,930,864,851,650,928,912,215,043,238,756,701,947,
221,055,008,540,120,640,537,730,063,339,078,602,711,195,977,283,943,190,501,
402,634,637,687,009,656,233,289,994,756,544,791,863,935,751,736,426,912,910,
184,782,585,480,211,210,509,172,021,826,649,468,080,804,245,470,959,286,411,
039,543,875,085,486,753,009,830,576,333,364,625,532,966,110,815,178,083,602,
519,463,525,382,570,334,271,337,601,064,466,507,645,403,452,831,147,487,036,
641,353,557,756,653,954,365,777,157,791,498,813,722,452,743,982,924,603,476,
927,403,489,599,470,575,456,976,849,150,068,354,498,517,167,191,620,876,449,
543,124,831,605,532,396,876,768,333,689,434,916,646,214,592,104,111,894,224,
492,990,056,516,596,226,299,537,139,100,174,732,221,523,122,598,688,284,542,
189,067,326,212,562,373,935,263,258,050,382,809,404,266,974,383,058,778,039,
550,663,691,019,887,906,016,746,175,916,117,528,544,241,330,668,179,557,243,
907,231,802,634,880,493,259,539,487,459,279,311,715,116,289,182,113,796,553,
990,138,593,146,929,859,232,362,681,433,930,592,646,664,082,845,695,191,700,
105,097,930,066,387,308,913,028,567,466,533,903,337,502,476,310,802,656,841,
907,401,145,918,856,014,507,962,315,431,191,805,091,279,313,376,400,764,608,
229,683,216,987,002,416,304,802,213,651,907,418,082,767,011,574,178,536,940,
540,488,216,330,879,237,190,058,517,413,355,760,952,298,832,588,607,746,148,
817,456,473,202,285,280,534,858,417,835,124,788,991,002,120,395,385,128,500,
559,811,095,769,959,858,500,809,323,012,530,591,987,368,845,201,205,177,211,
578,252,640,419,862,890,751,200,277,748,124,038,259,984,165,219,016,762,339,
651,122,583,923,943,146,856,655,442,615,966,943,018,327,388,951,985,912,754,
131,876,873,850,981,771,491,486,830,827,096,638,064,296,037,138,291,997,554,
563,736,426,588,215,538,213,413,736,539,047,954,021,260,187,734,080,859,954,
918,328,751,766,087,036,222,182,560,707,118,731,502,713,184,716,758,276,297,
387,128,975,841,550,158,500,661,804,849,170,746,496,989,968,210,510,857,367,
090,761,022,210,572,321,914,380,076,312,192,300,978,397,092,526,503,951,539,
715,802,028,515,023,142,282,525,028,223,368,040,147,165,915,548,035,649,244,
868,224,664,127,776,892,522,174,026,912,961,407,491,533,409,535,811,796,344,
776,358,361,070,252,634,546,386,707,008,127,499,721,115,175,900,356,665,232,
928,595,694,005,247,378,909,805,856,600,748,801,540,291,735,747,195,994,353,
815,846,019,342,647,984,183,639,449,007,421,812,744,718,764,380,529,387,765,
437,119,741,504,841,795,615,975,180,920,677,513,287,644,776,679,399,552,069,
337,340,483,250,139,451,022,398,782,401,928,033,506,215,828,531,441,892,047,
060,294,499,709,626,384,411,833,129,433,404,280,879,988,915,241,523,303,552,
783,463,971,505,528,384,134,504,826,751,464,587,626,906,701,368,050,687,200,
617,389,458,752,323,779,420,650,049,758,399,587,904,399,357,797,955,610,442,
089,776,342,373,700,624,840,754,734,553,488,067,525,539,405,614,124,223,340,
608,527,914,250,906,493,598,737,060,376,080,305,191,822,951,852,548,619,714,
709,732,829,226,623,191,382,436,902,670,274,248,241,645,578,716,645,773,191,
398,981,417,049,679,988,693,834,866,921,726,350,613,521,143,755,733,717,015,
051,704,029,977,241,205,820,407,801,076,334,874,772,809,451,830,913,121,789,
015,114,529,547,683,194,630,840,401,887,331,226,837,139,865,591,987,719,621,
153,154,558,298,029,101,490,867,258,530,479,423,937,172,187,196,686,411,080,
855,123,834,481,744,370,859,222,605,697,559,580,854,054,166,285,733,857,213,
688,876,273,190,192,609,466,053,766,932,808,631,032,611,840,866,036,136,848,
258,355,485,604,250,844,212,675,039,351,177,808,170,210,009,504,356,354,486,
321,992,534,206,174,551,728,218,059,113,182,672,694,623,445,233,729,151,251,
785,549,294,638,662,894,248,245,653,802,365,723,461,037,493,720,497,294,366,
584,863,477,277,580,328,194,891,133,135,787,052,589,422,736,863,529,074,538,
057,562,226,208,359,143,732,624,731,741,897,983,852,474,106,848,591,173,242,
748,718,252,057,464,539,031,853,817,195,082,053,122,079,089,736,784,138,789,
526,560,880,813,501,038,004,343,871,490,020,213,508,254,261,615,870,190,083,
778,962,295,338,235,117,392,352,355,917,199,175,912,981,191,955,612,577,210,
798,673,188,349,310,504,484,514,812,211,658,082,721,848,345,808,939,163,270,
571,215,098,962,146,427,787,188,956,385,916,373,927,543,309,132,358,193,175,
126,239,481,537,132,246,601,424,276,389,767,240,910,335,399,132,888,745,852,
772,074,937,026,209,889,481,739,325,114,588,732,644,869,324,299,695,225,045,
522,762,321,011,393,297,743,255,792,542,834,568,020,996,261,128,877,921,471,
769,375,141,993,154,469,212,742,810,992,478,094,863,728,780,427,630,649,909,
900,548,374,702,242,286,973,575,129,849,427,220,015,793,751,906,601,234,714,
919,699,363,602,876,257,949,411,529,579,149,260,908,058,655,237,033,405,286,
416,867,025,434,209,273,167,694,336,011,568,864,812,313,672,919,709,075,597,
514,440,835,081,398,286,075,422,793,346,471,834,055,155,222,465,677,554,974,
375,696,707,136,166,397,115,214,085,553,668,006,611,187,165,108,423,007,594,
415,751,760,576,886,747,119,959,170,511,200,422,231,897,179,664,286,901,826,
739,642,247,536,435,087,719,958,124,371,550,182,801,790,980,484,904,196,018,
930,281,364,649,205,670,884,712,289,853,643,318,368,749,371,239,949,388,441,
829,047,049,233,593,439,490,518,044,280,321,705,708,977,097,508,105,125,415,
479,217,862,577,228,046,010,352,130,795,755,314,490,841,867,147,161,424,699,
027,127,346,997,538,936,086,072,106,686,029,866,347,026,095,866,006,368,013,
096,060,880,084,843,508,073,428,663,751,977,118,921,984,926,138,021,243,606,
847,229,731,601,164,757,670,729,717,616,202,885,589,152,732,223,937,767,338,
951,022,636,056,472,996,718,239,616,660,713,122,738,027,702,459,190,954,809,
249,278,824,077,768,761,089,924,482,096,676,234,867,699,676,807,452,570,015,
516,183,593,535,839,178,693,256,933,467,606,447,388,703,992,914,332,384,594,
137,095,327,888,347,426,731,618,724,232,101,882,748,931,581,262,846,628,410,
025,394,063,955,705,763,314,741,640,725,373,338,337,950,773,595,951,897,392,
166,357,351,748,772,990,465,574,677,869,675,940,365,601,030,821,489,471,793,
285,937,411,757,570,213,415,790,758,754,122,661,627,923,457,306,386,025,013,
988,118,695,368,484,767,762,033,564,185,506,221,012,466,521,951,996,009,685,
908,480,747,013,956,562,899,164,618,872,098,825,837,496,593,526,740,200,204,
220,926,308,961,484,808,333,725,484,641,956,717,650,618,162,681,784,051,641,
047,677,436,543,740,511,298,045,232,924,499,569,312,753,353,752,493,841,537,
887,975,208,382,472,953,485,296,949,515,649,920,684,294,745,175,056,030,533,
899,699,614,355,672,372,894,775,964,933,050,940,676,836,395,303,717,079,021,
536,878,181,057,913,004,643,674,625,041,228,122,659,519,389,336,703,120,582,
383,367,335,447,840,268,218,979,170,695,401,147,148,555,192,705,930,910,252,
571,658,996,783,618,078,172,900,733,933,090,088,690,345,506,370,441,413,985,
618,467,111,577,015,859,610,779,192,276,016,597,739,934,799,679,851,949,251,
097,702,966,280,487,308,583,848,716,066,255,717,476,955,403,763,898,765,349,
795,034,996,404,474,217,061,079,631,058,643,551,859,477,194,985,197,910,951,
282,815,340,545,923,023,238,485,816,911,046,537,707,647,782,460,626,834,579,
300,537,191,161,703,619,159,683,713,075,382,259,576,688,874,507,653,807,420,
583,884,252,374,975,289,317,055,593,942,869,170,348,069,942,174,835,635,319,
833,923,019,071,868,128,653,888,437,320,853,746,338,556,512,922,451,105,114,
777,292,237,217,092,031,632,125,602,446,832,668,867,864,429,378,268,438,978,
616,071,172,775,750,246,366,165,000,597,282,339,212,253,153,595,508,406,116,
459,131,435,594,392,981,048,438,674,321,793,626,573,514,274,238,542,181,269,
813,441,024,161,981,259,508,143,479,313,722,929,206,410,420,364,517,277,151,
032,639,625,247,002,355,553,549,186,053,917,984,465,972,903,530,014,290,196,
188,478,380,762,839,837,317,155,988,321,073,752,370,334,368,775,378,716,937,
434,652,526,196,080,757,569,964,866,057,495,903,241,150,395,275,237,989,758,
064,491,490,931,181,172,748,408,762,874,589,411,283,660,058,192,414,918,710,
737,855,019,435,365,621,817,289,935,941,397,565,865,021,580,555,557,408,544,
854,235,122,261,876,891,613,630,328,818,682,307,114,897,891,005,719,038,243,
309,236,997,396,481,356,926,357,262,002,611,251,606,439,808,809,853,940,284,
905,712,664,868,866,122,126,497,194,393,431,372,164,882,796,694,051,055,090,
355,576,847,432,800,730,572,554,452,192,489,260,431,488,939,695,462,914,085,
185,127,301,850,462,327,122,823,049,447,359,243,707,083,216,407,727,279,415,
673,963,385,460,048,481,623,331,442,147,934,757,658,176,230,703,702,794,765,
687,528,959,473,155,204,154,017,868,125,161,103,989,443,165,845,054,594,353,
782,565,530,642,840,177,335,490,138,481,889,643,463,456,497,780,616,861,602,
927,602,693,898,012,704,589,854,082,252,577,766,648,735,405,271,442,660,980,
461,108,567,536,665,019,427,523,361,990,507,395,990,079,392,485,943,574,867,
745,772,806,087,504,311,074,179,649,144,478,367,419,389,181,096,387,384,706,
179,807,963,914,817,978,975,839,416,597,273,128,581,684,851,083,080,986,462,
592,581,171,624,078,813,369,225,143,150,901,207,507,973,016,684,073,108,880,
053,342,372,779,778,765,254,613,539,993,392,255,523,375,961,831,779,901,617,
784,310,726,419,463,199,142,229,626,832,265,829,154,224,477,178,150,766,905,
129,270,656,922,030,220,189,908,739,730,350,663,393,250,727,688,404,951,153,
870,892,377,968,642,156,544,899,075,652,049,254,806,881,161,219,031,216,973,
328,506,920,201,807,772,129,807,168,527,706,854,832,748,127,052,933,656,535,
834,235,452,982,269,640,287,645,695,796,334,271,454,738,606,976,029,098,179,
238,701,676,907,030,586,721,096,750,205,167,582,543,354,181,569,286,452,934,
521,151,772,462,342,519,387,045,959,942,439,270,710,957,178,404,521,142,998,
232,089,979,745,154,297,936,599,973,860,164,032,453,007,638,050,730,832,678,
032,347,039,354,374,983,954,841,146,542,624,857,866,975,989,527,930,171,120,
811,645,671,552,205,304,280,144,963,884,068,562,152,894,966,478,466,666,653,
954,163,273,917,248,871,840,961,306,452,167,636,210,036,911,199,278,581,548,
514,968,739,910,458,707,300,049,349,795,612,756,052,745,008,537,827,427,701,
330,165,158,971,179,962,092,925,062,684,223,954,509,125,634,226,620,295,959,
786,354,124,842,136,329,644,011,181,465,514,275,764,231,456,049,823,928,695,
392,297,884,857,179,544,487,133,833,575,272,715,614,776,511,165,119,470,365,
900,614,008,988,837,241,066,128,981,158,559,604,250,943,600,327,687,190,486,
946,056,855,884,336,791,037,569,707,953,838,216,259,643,079,040,439,988,748,
128,950,288,637,003,622,501,658,967,616,780,963,150,124,896,938,854,572,388,
879,770,959,180,903,844,260,399,170,496,719,567,675,356,669,428,102,307,338,
136,137,710,203,739,591,413,537,629,464,449,448,496,046,479,745,738,054,926,
692,125,317,608,476,164,106,058,230,957,366,022,244,832,769,997,503,080,940,
344,511,507,664,110,200,135,173,841,990,436,265,432,171,459,757,240,319,093,
565,502,601,639,450,216,644,771,617,300,602,250,643,141,362,561,047,801,403,
456,572,084,840,756,251,216,087,902,594,900,860,339,094,209,482,524,807,406,
705,816,003,013,916,772,487,867,994,742,942,841,105,133,321,660,254,240,495,
607,385,481,498,017,110,103,827,262,938,390,816,692,530,823,021,587,919,559,
499,799,748,713,989,865,750,622,213,716,108,518,554,267,584,991,957,472,751,
529,974,807,179,013,641,129,875,941,087,880,249,020,014,078,515,363,394,282,
791,864,037,863,647,758,338,804,007,376,499,082,922,504,453,472,855,462,633,
049,553,558,648,714,519,313,398,258,004,140,894,365,523,796,276,176,302,186,
744,295,251,810,034,200,359,081,292,474,399,055,357,557,723,708,275,301,622,
289,835,516,474,068,176,336,706,852,890,973,353,882,421,471,705,672,945,667,
908,055,022,236,624,834,854,896,317,668,341,896,565,800,414,553,654,686,379,
393,203,343,405,638,027,850,982,840,080,985,682,961,156,248,286,759,868,629,
685,177,635,448,917,320,652,883,214,336,313,720,275,825,943,639,749,414,368,
767,893,338,742,722,248,558,878,724,093,144,478,715,438,989,192,928,452,798,
972,152,779,612,548,256,061,992,479,231,016,709,800,778,586,434,385,883,359,
266,869,133,737,703,989,233,138,628,927,721,531,835,574,183,557,563,227,191,
398,593,254,390,012,148,328,926,590,910,600,793,466,239,092,337,257,604,289,
642,968,811,599,537,964,755,059,570,082,551,648,474,251,109,787,041,536,482,
665,914,244,435,725,757,743,869,696,891,975,430,071,136,138,120,338,339,791,
868,880,424,053,794,862,682,987,304,181,974,671,516,853,199,165,068,274,916,
990,619,269,664,819,660,784,780,512,456,343,399,476,932,086,012,626,352,790,
382,111,912,786,878,793,337,002,087,244,404,899,355,355,947,552,649,312,812,
240,488,189,875,530,878,554,098,646,248,637,838,249,492,940,148,682,565,355,
500,582,162,261,361,371,768,543,988,457,869,923,576,112,992,261,164,364,863,
143,252,877,158,959,317,775,513,011,405,941,442,968,579,688,647,505,583,636,
983,998,632,221,978,284,664,803,625,242,152,849,902,364,658,564,000,209,344,
363,623,728,424,442,210,467,008,508,045,571,239,549,571,894,057,860,474,499,
634,638,886,981,549,280,214,310,032,372,713,338,701,306,555,669,217,647,050,
353,236,252,188,711,623,044,989,901,084,883,703,430,354,853,045,162,449,358,
412,844,087,016,649,476,524,642,174,488,451,447,040,394,120,064,134,382,200,
227,248,835,813,645,708,819,121,845,400,160,017,702,859,076,320,005,568,047,
761,076,156,913,764,831,838,267,870,269,123,240,969,999,968,722,677,262,132,
841,102,023,559,567,039,679,677,276,145,015,168,440,066,788,228,671,997,455,
501,031,482,361,671,683,068,011,458,253,063,515,207,761,273,203,744,386,557,
228,832,920,042,235,515,209,053,813,170,096,869,967,304,212,959,866,510,973,
187,684,266,877,483,929,586,594,706,038,552,337,661,319,884,159,055,922,653,
509,363,107,473,896,473,765,215,410,050,465,123,012,830,709,059,083,351,842,
358,682,578,787,990,428,907,030,522,930,415,893,655,435,819,692,541,971,820,
286,945,963,700,691,013,427,392,300,667,907,298,296,910,171,485,717,945,218,
112,802,939,930,911,221,083,899,589,210,208,027,920,689,786,468,758,755,122,
623,549,728,156,856,094,585,171,706,075,860,998,629,667,140,704,212,974,001,
665,017,346,581,845,079,274,224,663,999,513,580,890,141,073,868,344,252,022,
161,253,217,276,777,943,386,445,643,156,797,463,780,018,057,512,413,133,918,
936,294,657,341,514,093,684,672,890,462,567,745,217,823,430,330,189,894,647,
657,743,875,929,536,489,568,682,558,905,294,025,484,138,864,229,272,129,969,
678,609,670,464,567,599,650,548,360,132,238,029,949,413,745,726,556,215,516,
436,410,481,281,563,054,296,674,732,651,112,872,007,775,987,332,732,296,085,
178,676,215,957,741,902,739,423,946,423,500,442,865,102,314,201,797,491,468,
582,206,810,477,466,893,165,874,318,062,992,128,149,047,266,093,482,742,962,
640,200,155,088,247,571,698,502,886,332,063,529,840,187,291,945,177,340,362,
514,140,102,622,527,697,065,142,434,765,565,105,145,045,779,625,786,445,717,
757,432,092,539,444,438,135,451,768,551,121,971,372,609,211,001,923,014,953,
372,379,282,398,530,580,074,734,911,401,945,054,156,921,108,146,756,154,142,
811,738,927,322,858,728,883,209,150,980,570,291,702,251,605,872,023,857,991,
457,628,771,964,126,984,419,359,659,687,439,568,171,973,314,454,889,407,505,
547,546,161,350,375,489,265,324,322,541,691,531,465,712,263,270,190,817,789,
589,842,922,134,784,691,716,255,005,396,949,438,994,237,324,585,148,090,791,
518,341,707,397,719,600,221,264,604,360,800,580,553,525,136,753,127,833,868,
620,075,563,301,893,166,283,029,491,187,479,655,368,573,240,832,134,028,060,
030,829,494,855,508,802,650,546,571,400,626,970,939,919,969,661,993,895,242,
466,848,225,005,530,818,215,616,707,011,631,284,991,612,302,947,373,332,818,
451,233,693,442,539,540,669,504,043,420,516,149,697,438,616,103,958,140,938,
419,343,528,841,516,135,194,979,844,846,148,955,517,595,388,253,658,458,124,
077,451,957,687,223,250,308,292,072,062,240,679,941,754,008,810,681,854,807,
625,921,210,989,197,007,355,176,394,904,048,385,233,698,625,305,268,436,986,
934,576,316,456,116,191,433,984,710,008,720,651,801,526,343,058,216,259,085,
133,217,849,967,506,571,039,455,059,521,908,272,740,500,260,708,977,790,708,
653,099,686,112,666,050,979,153,720,350,889,033,566,755,466,200,862,085,338,
558,183,547,690,355,175,401,242,263,320,333,065,826,016,357,768,490,794,072,
381,883,236,357,618,712,817,849,037,236,526,427,214,168,990,408,980,370,884,
590,607,716,245,416,056,783,889,607,693,949,735,708,377,748,392,458,901,169,
491,524,319,884,396,288,114,587,691,690,395,059,732,409,803,483,302,844,847,
469,288,250,539,977,710,654,272,189,901,110,052,588,957,468,397,145,869,724,
138,333,714,105,385,309,445,738,904,152,753,904,919,571,399,310,878,360,945,
621,507,371,485,968,022,328,257,315,134,859,750,313,702,170,337,258,624,117,
785,520,327,311,200,328,573,338,975,660,702,067,772,194,147,833,100,085,514,
085,965,349,223,162,062,325,566,574,331,704,782,251,303,168,951,370,712,217,
886,288,743,662,950,038,043,771,083,677,671,981,403,882,299,803,452,923,746,
723,107,528,617,990,488,838,562,895,725,363,505,077,542,548,136,576,065,036,
303,230,503,476,341,242,356,350,078,091,485,328,734,499,093,077,479,897,338,
190,275,384,148,325,134,298,393,766,845,341,866,441,380,566,829,830,622,296,
972,603,735,137,907,031,369,998,819,883,521,414,264,875,184,354,285,148,577,
775,097,173,115,284,394,039,621,921,867,936,721,188,655,431,718,479,227,210,
423,996,409,203,768,428,140,586,525,296,417,506,563,001,351,639,210,207,544,
680,768,174,468,065,819,130,223,331,010,660,987,868,209,190,057,278,412,611,
870,413,070,281,262,764,747,520,609,219,263,619,378,894,700,434,408,097,790,
003,342,239,139,479,876,971,394,222,030,142,935,643,026,877,316,325,498,398,
752,566,652,374,368,311,293,770,229,212,029,895,991,480,337,111,901,456,353,
147,507,236,411,938,540,404,164,541,372,353,455,011,647,599,517,834,319,058,
190,985,310,364,973,111,408,901,153,006,886,551,542,920,668,765,176,279,869,
073,408,912,836,802,026,678,978,509,163,654,732,529,186,606,298,474,588,608,
454,545,741,080,071,021,796,223,320,135,212,171,043,563,827,066,583,487,881,
604,308,237,747,540,796,070,636,877,447,107,525,457,130,728,494,611,391,170,
844,794,898,094,215,026,517,348,840,151,096,050,286,396,947,050,927,305,743,
704,906,171,834,383,960,437,180,986,544,330,149,406,735,714,129,535,494,350,
332,310,877,944,324,659,267,930,146,471,229,877,950,973,844,987,277,345,470,
355,573,327,691,725,496,377,891,736,430,410,293,115,688,532,183,111,186,533,
328,886,855,961,261,410,844,780,918,230,323,038,854,798,486,492,793,659,091,
079,420,902,750,356,402,776,779,507,792,311,907,988,243,087,461,947,784,186,
617,348,274,275,063,196,864,562,191,314,699,039,742,305,197,602,108,098,081,
228,866,260,623,619,618,175,832,674,925,881,988,839,009,916,985,965,732,372,
622,191,252,937,291,486,651,375,565,337,448,335,954,508,232,816,413,839,163,
735,778,921,574,224,862,050,191,776,958,453,430,655,995,234,771,035,227,832,
788,017,453,364,965,670,077,275,600,772,565,171,717,515,617,349,459,487,768,
963,815,143,950,476,757,991,465,749,205,273,260,002,316,312,856,906,168,447,
635,669,308,364,201,013,166,278,275,264,267,619,115,061,810,306,543,780,653,
918,327,719,766,707,166,679,362,878,362,452,454,181,012,697,892,954,177,058,
231,618,618,473,624,027,711,648,096,003,532,743,474,783,490,657,289,126,144,
795,120,061,407,613,033,054,422,213,368,364,450,465,013,084,846,585,308,831,
231,339,901,679,061,117,716,678,930,043,888,214,210,356,719,307,031,451,504,
913,371,310,672,920,442,461,696,770,924,191,855,969,547,224,699,616,415,183,
519,793,645,165,049,414,497,869,420,949,722,751,081,720,746,569,708,500,876,
263,793,470,151,871,761,109,453,119,652,297,274,327,107,702,867,257,953,199,
830,523,852,073,044,864,058,235,833,846,459,911,181,255,906,355,563,988,416,
856,283,659,993,134,534,535,902,480,694,912,861,350,777,559,725,400,106,574,
357,549,486,923,997,824,464,538,390,518,045,259,443,852,828,134,873,279,577,
863,691,378,316,999,370,075,157,816,579,329,834,281,766,421,098,194,727,114,
348,645,168,110,231,524,875,593,804,625,863,656,603,686,987,776,801,217,460,
384,558,515,970,396,406,773,510,060,434,578,984,011,705,251,671,420,530,538,
183,155,123,112,168,310,356,446,531,417,780,645,800,600,755,620,860,163,492,
257,405,082,533,711,260,819,477,525,675,925,934,373,919,022,841,394,915,280,
541,472,386,420,727,406,875,190,558,396,622,806,148,511,885,781,277,036,661,
024,107,646,665,196,141,032,312,923,669,806,647,501,931,714,435,850,994,907,
373,135,983,117,714,714,225,594,384,207,920,638,002,296,702,991,087,224,259,
887,350,249,896,965,150,862,037,199,868,538,464,168,842,283,069,686,800,485,
109,051,024,443,642,026,377,826,606,929,295,987,088,655,050,399,428,138,863,
383,201,085,224,109,718,461,964,520,631,530,600,360,054,248,830,130,287,769,
435,279,571,922,959,252,422,321,045,256,635,662,022,766,085,248,466,972,783,
922,790,573,841,884,823,708,103,258,602,459,571,443,527,789,333,894,776,640,
545,410,068,458,203,626,731,430,835,229,058,578,387,726,245,806,521,763,940,
118,509,494,029,903,460,831,150,703,555,796,731,528,853,416,887,369,774,298,
313,133,901,282,882,795,595,036,591,384,625,310,360,272,787,354,793,823,033,
584,128,209,157,070,530,686,051,188,015,847,542,950,127,708,701,710,663,604,
120,803,939,362,879,350,627,356,031,889,917,668,149,553,821,071,254,197,697,
065,149,836,194,035,678,811,633,516,559,819,955,455,875,538,991,561,093,533,
298,697,738,409,056,188,444,850,065,763,798,309,958,243,066,916,716,724,628,
897,094,493,279,052,918,178,107,777,063,252,742,776,694,184,771,942,934,965,
587,622,579,140,746,179,242,849,253,107,865,873,524,546,221,488,744,957,576,
738,305,996,622,401,539,656,141,350,726,299,608,225,525,744,574,533,082,568,
101,729,663,930,036,216,364,405,702,870,304,774,853,971,876,743,879,143,410,
729,945,461,771,252,629,303,986,231,837,207,958,625,064,957,060,583,763,641,
195,161,433,285,802,026,112,828,941,185,336,802,666,131,273,525,360,186,051,
853,112,739,873,603,365,399,511,685,591,035,704,054,514,758,969,242,202,085,
488,925,862,957,824,339,871,082,843,455,504,422,639,825,631,628,993,292,170,
728,169,298,222,241,655,108,619,415,011,167,400,386,777,921,115,853,300,301,
172,796,881,099,967,412,715,799,570,955,123,613,382,047,586,252,148,503,150,
881,101,774,479,476,075,799,152,459,687,998,914,968,249,829,290,983,029,866,
722,928,975,507,077,344,743,557,291,081,578,177,689,039,799,371,429,251,816,
559,048,170,705,077,642,511,146,492,129,643,898,237,268,861,848,417,234,629,
420,017,981,353,774,169,874,828,862,802,603,464,657,507,199,610,578,319,758,
934,616,914,998,575,058,154,231,570,030,591,159,563,106,126,761,164,623,416,
779,536,847,712,991,828,385,066,229,626,996,179,215,681,690,882,282,485,030,
898,005,024,030,882,351,236,351,222,355,637,317,281,051,877,595,170,361,226,
755,219,503,564,286,809,576,682,524,582,946,007,981,000,388,695,644,049,751,
724,877,175,273,740,675,330,495,683,184,553,174,547,962,675,716,368,932,012,
158,830,784,517,117,127,888,172,425,591,958,293,795,882,292,745,008,410,535,
354,736,348,493,406,535,510,076,431,151,798,318,297,299,191,999,809,811,037,
811,285,845,364,982,168,100,500,489,470,838,237,810,187,366,970,899,727,878,
596,239,666,979,197,812,862,282,600,022,211,441,380,835,421,244,359,032,414,
088,469,237,325,847,839,850,596,043,074,013,312,459,601,890,892,416,480,326,
768,990,839,724,918,170,540,476,206,639,365,086,791,939,057,972,175,852,713,
914,698,042,846,573,534,229,358,440,723,425,223,762,660,006,668,803,079,172,
737,954,977,277,421,951,283,314,139,212,624,878,748,237,880,899,162,234,978,
347,886,013,687,561,533,420,113,178,282,755,029,862,161,667,793,851,069,982,
667,896,785,306,508,902,162,605,748,593,167,356,544,672,678,065,761,426,005,
832,419,591,318,788,947,252,286,956,526,828,518,775,807,891,974,772,990,309,
895,598,629,029,322,883,155,843,492,383,680,507,719,069,408,624,292,050,064,
022,468,933,483,614,135,463,566,678,247,372,457,977,439,770,506,360,441,153,
797,063,496,167,290,150,772,818,118,251,030,276,396,894,262,911,228,862,080,
486,435,982,666,696,419,031,998,081,911,833,384,148,666,726,341,868,838,550,
294,030,520,925,977,654,286,733,545,184,585,175,484,941,236,909,284,908,147,
012,283,640,509,716,551,026,716,401,608,338,463,530,593,343,736,048,015,296,
201,247,343,128,339,738,362,676,006,317,786,349,570,701,274,508,139,987,227,
230,306,020,440,776,242,144,158,330,935,226,130,079,763,736,228,502,502,600,
600,601,091,708,779,164,052,617,033,904,113,809,475,600,311,267,685,513,514,
756,528,200,360,169,893,580,179,659,370,789,041,536,253,092,130,334,688,515,
145,844,856,282,485,083,764,213,458,662,845,185,499,647,670,713,999,230,720,
182,845,854,881,559,876,323,435,419,772,361,143,912,740,847,588,664,135,753,
294,669,520,074,199,779,259,704,389,582,004,436,662,795,144,142,916,989,787,
281,292,532,332,412,526,912,736,975,592,171,283,271,796,414,586,019,317,303,
200,153,374,028,873,287,639,660,920,807,120,239,223,696,164,796,231,708,410,
497,174,729,712,711,845,441,900,301,678,762,192,551,715,256,398,809,921,924,
628,549,867,896,724,753,740,644,401,416,393,393,013,321,617,453,492,917,850,
534,664,266,781,081,105,647,048,864,333,723,450,339,550,661,004,422,202,080,
242,347,478,668,841,390,233,731,496,269,534,829,976,266,576,061,587,982,938,
600,378,535,950,976,636,454,975,777,641,622,708,773,677,056,070,705,731,426,
837,529,543,998,452,759,140,038,415,912,946,576,485,243,219,939,034,072,759,
225,137,494,558,787,693,153,539,951,256,275,800,634,083,479,161,559,336,432,
329,638,716,496,543,980,096,419,203,100,944,521,637,892,372,338,850,254,125,
354,210,066,485,871,131,388,975,193,549,998,009,221,811,293,210,924,648,385,
847,295,858,828,489,767,066,202,316,130,296,368,704,142,929,449,528,151,060,
913,776,847,302,698,242,953,159,693,839,259,153,600,777,397,680,431,825,402,
822,845,118,525,713,535,516,599,824,950,228,239,281,468,421,517,636,439,363,
147,655,568,945,996,399,307,520,663,071,418,779,218,196,289,065,713,926,584,
028,131,741,918,013,136,121,907,395,567,916,493,165,033,125,484,747,544,516,
305,969,913,393,462,537,662,654,123,018,977,849,815,183,615,648,557,853,926,
504,749,687,950,132,079,267,924,215,560,206,126,178,955,100,043,305,919,627,
228,921,097,387,278,520,856,022,325,723,272,579,413,781,450,904,187,091,231,
795,474,945,288,406,252,560,165,881,314,594,979,266,160,482,137,223,787,773,
657,948,396,900,622,392,800,979,416,536,952,730,185,883,496,402,831,970,407,
839,792,861,368,484,030,375,847,193,280,885,808,813,963,626,160,944,799,739,
982,146,404,318,042,753,360,206,517,115,942,081,481,461,180,735,865,183,111,
770,191,187,412,315,786,490,351,043,681,652,602,258,657,384,282,415,438,351,
355,961,892,688,422,846,466,782,899,537,982,312,089,369,151,688,053,209,395,
084,865,767,910,829,044,999,379,450,469,128,717,312,873,163,733,620,868,481,
919,274,669,788,497,101,473,141,898,318,354,105,579,724,767,429,071,429,371,
871,021,412,646,602,128,257,419,578,420,757,133,237,740,126,077,693,982,341,
837,714,278,699,385,008,705,312,990,450,436,161,508,066,794,494,812,091,979,
245,190,159,544,985,738,904,848,380,828,790,100,572,330,764,496,784,864,626,
377,505,901,324,731,903,070,800,505,952,536,436,363,854,001,206,415,773,325,
456,679,893,319,485,414,738,343,731,997,373,437,440,696,821,321,429,567,325,
971,597,528,769,207,519,680,809,533,464,541,791,607,310,352,063,138,173,105,
873,954,105,776,875,287,869,460,863,268,497,194,496,235,833,594,940,474,146,
376,066,681,377,638,764,663,637,033,893,462,294,212,486,341,771,994,729,444,
743,711,868,122,914,664,713,493,847,293,496,508,076,751,968,233,382,923,926,
459,783,482,459,868,480,052,382,069,445,466,767,832,632,575,932,883,988,642,
588,217,999,704,973,272,377,893,573,876,831,387,323,117,072,655,357,311,083,
456,583,680,012,200,154,754,896,822,466,996,140,756,012,386,695,350,747,131,
524,840,924,474,948,831,384,593,846,156,672,882,808,443,148,672,517,569,755,
548,577,360,715,870,817,186,567,721,965,232,551,882,009,668,792,352,222,694,
735,401,278,259,829,589,381,754,137,512,267,314,694,750,297,333,672,438,525,
988,145,969,787,858,435,130,170,442,804,865,148,908,817,692,482,795,134,803,
552,523,304,665,267,595,929,608,054,824,646,319,537,691,096,025,289,647,660,
877,914,422,877,111,416,673,580,095,268,440,620,484,302,299,478,875,529,384,
573,276,142,570,964,791,900,533,092,086,214,155,677,145,119,889,260,900,483,
345,578,135,479,727,402,417,458,132,843,066,668,453,519,778,304,795,695,821,
311,592,030,308,629,207,048,153,139,627,683,229,180,019,288,543,751,576,539,
397,824,456,952,446,131,117,094,549,617,336,935,802,321,665,543,395,166,724,
012,187,948,276,457,894,537,439,921,348,551,269,297,161,601,668,458,181,033,
891,417,451,020,176,229,209,765,874,556,654,229,979,310,090,648,492,878,792,
855,001,280,366,310,379,998,761,921,029,103,361,245,121,281,773,506,911,568,
294,825,523,790,618,559,665,686,792,928,357,156,326,706,403,521,937,601,269,
787,049,916,602,931,210,630,620,577,601,411,907,266,992,763,017,259,331,977,
340,388,306,668,297,864,007,419,349,623,809,542,245,438,379,065,640,727,278,
476,652,804,192,081,951,979,476,817,543,324,759,627,871,145,703,761,104,108,
734,249,012,084,283,712,111,499,783,918,661,969,120,999,612,601,371,731,580,
883,785,000,807,534,115,523,748,569,836,455,295,931,700,974,075,727,635,492,
165,305,617,131,564,662,705,517,275,525,188,655,106,545,759,233,464,146,314,
503,207,115,634,818,790,442,187,493,518,839,317,206,386,303,779,259,893,782,
460,791,063,599,954,333,081,400,176,018,581,134,327,052,418,434,863,744,128,
926,789,775,204,902,225,442,354,808,789,011,759,879,804,579,020,954,977,262,
620,426,307,040,696,020,897,698,589,535,872,281,999,648,749,587,623,060,860,
427,906,523,674,927,061,595,393,598,019,954,780,406,065,914,523,301,766,632,
929,704,665,785,685,919,784,951,503,140,699,508,837,397,088,945,774,204,761,
728,735,872,013,103,075,180,428,424,765,399,897,734,266,051,439,290,222,951,
376,470,223,426,562,926,877,797,265,211,524,317,161,988,465,726,469,566,941,
868,506,591,715,471,269,391,532,274,481,615,465,510,084,631,423,308,814,542,
641,783,644,175,230,021,427,084,283,303,209,718,891,003,101,624,847,147,240,
423,121,490,765,942,146,020,889,377,852,009,125,332,338,546,433,749,670,086,
959,458,927,385,805,546,132,674,864,587,655,978,704,638,760,090,549,676,527,
788,696,927,629,518,455,337,657,170,024,700,533,072,137,719,874,303,415,229,
600,852,900,604,665,636,685,537,952,949,037,655,511,222,717,156,737,629,681,
323,873,771,410,552,756,066,416,100,868,988,075,824,364,314,226,406,506,415,
919,301,267,335,824,690,787,062,065,904,283,589,846,168,774,226,922,469,073,
045,938,603,503,407,254,932,182,590,874,252,397,007,783,040,300,126,825,140,
874,719,803,302,574,615,886,762,463,539,519,490,657,984,493,236,422,836,156,
812,190,353,720,819,091,250,185,081,389,896,920,846,487,004,714,986,053,969,
209,070,727,818,165,605,229,905,063,450,425,875,759,910,756,708,144,800,273,
890,273,560,478,422,679,704,468,123,968,818,364,895,251,820,578,492,033,528,
462,140,013,827,816,294,840,899,843,054,181,190,838,950,720,591,703,677,320,
265,531,852,013,842,579,510,736,250,625,247,003,010,881,680,288,896,640,304,
901,265,172,292,441,619,830,068,195,665,693,027,723,356,538,878,425,810,093,
571,085,784,614,540,757,924,177,416,633,148,534,114,165,108,544,832,085,245,
807,976,763,818,994,267,543,509,553,982,887,272,597,256,275,113,407,563,684,
709,732,192,203,874,908,814,733,869,597,540,918,226,212,293,397,617,567,912,
555,972,060,681,591,313,341,832,404,037,439,256,274,968,048,860,291,118,348,
858,402,324,988,996,629,895,579,352,951,778,310,692,458,647,532,924,250,481,
367,255,983,659,044,269,034,522,053,006,745,844,410,711,388,849,090,655,909,
858,666,987,861,203,174,599,921,923,976,412,050,228,211,175,595,734,733,520,
625,317,983,104,321,653,699,559,214,336,180,745,711,847,058,377,263,548,898,
523,977,943,182,377,054,373,039,882,421,571,961,144,907,469,017,179,907,445,
179,948,782,391,468,492,321,077,186,619,977,670,456,223,901,604,488,559,353,
157,078,535,260,168,770,980,107,340,722,541,420,610,088,363,434,818,701,355,
014,984,592,188,823,868,849,661,656,493,853,083,617,148,171,174,087,774,764,
702,441,445,237,283,215,022,174,936,999,351,281,014,881,296,313,805,080,836,
386,985,513,355,444,387,520,156,474,092,391,502,240,612,733,765,600,157,356,
017,381,120,281,785,721,279,636,846,491,723,123,798,487,294,102,080,406,807,
959,905,734,673,902,432,279,822,005,158,482,541,675,485,902,089,351,224,112,
057,863,497,374,428,889,212,038,822,697,865,144,235,572,393,374,908,572,666,
219,052,732,487,034,125,957,439,640,130,991,383,255,352,070,872,957,890,359,
172,017,828,557,839,936,137,359,350,075,716,533,140,145,320,236,387,431,999,
692,066,498,691,014,585,768,143,949,580,635,492,008,047,515,965,283,069,554,
366,461,547,744,324,299,005,220,440,422,732,873,946,869,640,212,900,471,899,
989,373,846,993,397,626,284,878,845,229,905,946,340,583,709,605,467,780,863,
220,602,307,348,193,692,359,436,826,215,285,022,321,556,379,231,291,442,685,
585,160,368,311,417,538,491,670,048,810,203,416,045,890,417,032,859,382,879,
215,257,954,612,872,536,170,805,614,960,016,811,166,387,828,253,022,408,308,
841,196,914,901,022,916,799,378,309,100,744,116,925,538,757,519,482,888,688,
695,712,681,082,953,537,551,952,727,574,714,811,978,894,857,989,471,692,820,
880,944,142,749,889,168,187,501,279,486,382,511,047,054,502,019,746,044,901,
476,691,237,187,780,279,759,206,209,380,231,591,255,959,543,469,028,249,283,
711,420,965,820,252,101,090,685,113,340,228,822,354,731,970,498,145,156,644,
424,373,109,190,700,472,762,166,937,398,119,030,249,308,805,844,744,554,410,
004,129,794,280,132,922,752,225,298,208,522,885,077,145,497,305,621,892,363,
313,602,554,464,105,728,997,251,921,958,858,366,316,075,982,392,494,448,775,
110,199,742,851,852,603,537,121,179,423,267,547,856,152,673,624,245,620,459,
602,039,930,738,328,658,851,933,492,592,977,576,860,203,086,531,578,867,589,
617,408,708,805,881,810,868,409,025,171,344,001,002,370,924,967,113,278,062,
938,984,341,249,729,845,342,065,901,436,419,935,820,178,725,959,865,589,758,
022,394,894,542,554,911,792,987,543,091,187,449,639,954,168,238,306,458,110,
851,514,147,247,493,994,861,863,986,099,712,672,627,553,230,540,806,680,882,
207,033,072,585,955,095,490,596,037,461,812,531,956,464,246,392,991,732,315,
790,814,829,471,655,850,719,576,895,422,957,066,825,310,476,004,241,489,752,
518,345,736,963,959,087,977,579,070,566,301,760,823,480,137,928,601,993,273,
259,891,576,377,841,786,709,208,661,493,936,233,374,582,734,542,526,140,887,
363,866,472,153,057,213,941,534,853,312,738,918,164,456,022,204,571,642,223,
763,363,448,446,097,762,438,319,088,966,722,475,389,864,114,345,619,689,673,
896,356,439,281,729,213,839,275,657,559,269,717,406,721,467,310,773,254,306,
320,013,796,493,587,836,058,929,877,696,213,339,222,067,904,228,295,903,868,
326,801,712,602,660,943,779,684,069,960,071,586,849,125,548,520,034,723,948,
728,755,478,378,984,194,049,572,875,162,858,502,976,431,474,925,849,434,560,
835,852,497,929,129,974,286,413,423,563,749,544,220,556,470,846,448,000,894,
580,325,977,454,201,063,239,029,597,823,803,576,724,117,607,949,679,776,855,
130,933,167,821,768,347,942,439,297,291,737,346,159,537,131,002,354,019,051,
864,567,525,245,294,008,549,157,257,816,674,004,040,467,179,417,828,115,947,
341,573,058,121,506,680,698,736,371,404,089,748,679,358,856,303,884,889,070,
957,999,816,347,324,733,486,224,152,625,382,430,125,690,298,015,878,661,435,
146,171,179,228,900,653,131,189,614,029,085,657,365,825,935,450,776,959,319,
508,264,249,468,157,807,598,464,230,608,502,551,973,732,203,499,222,273,359,
376,759,682,182,914,677,450,698,810,563,239,972,013,294,594,956,005,415,630,
205,549,120,388,401,854,497,896,658,506,655,853,025,374,811,894,248,320,843,
325,573,278,864,946,463,873,909,519,813,793,736,626,165,217,255,735,038,319,
968,064,061,932,230,772,668,090,504,053,691,487,002,877,789,687,947,852,167,
369,684,055,196,252,325,927,647,218,229,344,834,812,821,477,548,519,542,395,
308,309,990,501,305,270,376,481,484,903,510,883,277,621,439,488,589,113,428,
020,263,750,776,973,959,846,106,834,155,181,343,026,097,088,837,182,876,081,
751,740,321,600,277,211,758,712,086,145,976,742,896,434,117,382,912,086,046,
083,616,249,859,858,544,983,420,457,925,358,065,351,764,230,698,275,124,017,
335,929,537,699,952,554,911,141,545,513,780,799,769,016,203,764,570,112,995,
523,431,642,357,108,267,052,099,183,724,369,227,840,125,685,019,576,498,382,
077,028,796,583,975,955,218,545,111,356,084,260,918,389,216,157,781,025,932,
664,150,577,097,517,432,878,767,425,098,145,411,726,725,325,732,348,522,366,
492,007,049,415,552,384,383,262,310,860,421,493,843,037,025,271,748,948,860,
535,474,426,652,585,918,988,122,351,581,376,689,178,185,669,224,209,402,213,
347,520,340,084,316,385,738,079,061,686,169,544,981,355,417,842,353,024,478,
526,238,428,565,448,997,016,998,688,911,026,204,328,731,546,834,848,464,662,
680,310,637,288,986,495,490,313,207,435,317,433,683,815,983,032,763,356,802,
670,608,058,303,957,859,856,458,744,937,287,234,339,993,500,940,804,987,560,
942,743,237,662,604,453,678,560,440,767,440,333,130,839,870,774,335,034,814,
054,986,109,845,112,510,356,211,073,108,430,013,085,360,653,605,048,606,347,
599,042,924,353,584,629,678,720,368,228,613,719,194,602,024,102,902,509,847,
771,102,800,158,352,150,644,178,429,137,543,350,522,305,340,470,564,982,325,
409,443,837,310,863,670,845,660,252,452,883,465,651,696,677,609,886,454,709,
105,819,228,917,009,100,289,588,217,677,463,593,479,315,655,735,416,217,623,
750,741,539,185,515,088,996,399,689,784,886,286,681,123,893,510,885,406,132,
527,513,295,943,893,686,244,760,913,564,385,445,141,367,618,019,480,906,666,
511,921,701,596,153,560,380,482,172,607,378,003,113,273,231,041,277,118,543,
364,470,763,199,009,300,068,074,632,803,665,967,834,433,376,166,863,458,742,
298,289,187,495,952,052,329,627,427,639,230,514,879,191,581,109,386,047,655,
710,511,480,690,118,072,887,322,794,236,470,230,213,878,149,845,286,808,971,
535,533,116,645,711,916,244,042,151,912,138,750,229,083,924,057,793,746,973,
301,971,438,850,588,702,540,267,990,800,740,168,631,388,053,376,001,608,084,
627,770,596,397,133,709,795,628,526,401,498,329,798,606,855,777,221,239,268,
362,593,743,151,847,609,902,873,062,764,429,773,233,064,254,473,158,142,962,
916,845,313,873,778,406,601,424,113,473,764,163,849,785,765,615,759,594,410,
052,107,457,323,403,775,194,881,347,695,020,581,429,164,591,194,023,146,888,
955,206,047,707,224,489,904,312,296,935,681,729,976,708,027,110,089,681,297,
223,008,469,493,534,388,527,058,060,013,097,464,188,255,345,158,293,072,349,
656,535,548,025,186,188,076,133,099,045,685,456,371,126,006,845,345,887,742,
285,304,094,861,823,995,323,348,201,207,672,588,566,133,093,056,763,311,845,
476,640,100,480,452,163,799,971,330,384,241,090,502,428,513,548,850,265,405,
520,945,061,842,860,307,176,571,892,734,822,189,075,911,914,802,670,399,692,
598,746,708,498,559,967,972,313,679,004,987,782,828,661,224,336,583,180,804,
743,629,200,018,637,195,176,820,042,543,776,653,503,142,811,054,402,706,472,
077,366,851,881,354,938,115,227,373,983,962,180,222,015,507,426,071,138,687,
156,658,843,204,334,541,042,245,385,603,133,560,966,178,397,970,184,385,206,
936,025,978,278,832,664,782,571,390,253,079,339,536,709,687,192,199,481,368,
060,714,343,083,983,018,781,999,295,511,984,712,402,976,306,521,750,746,385,
862,845,094,318,246,254,846,869,888,621,320,371,569,153,628,051,751,352,344,
682,791,146,317,876,301,529,655,531,864,944,644,442,885,702,542,107,475,100,
361,076,886,114,326,005,415,011,861,761,656,869,953,441,517,775,663,379,752,
015,791,572,609,907,898,056,913,016,268,438,050,175,010,522,918,435,553,594,
570,835,671,521,334,994,003,088,818,974,577,335,276,761,431,687,028,790,997,
620,928,407,573,412,709,165,618,540,850,183,199,416,808,881,188,155,142,663,
999,756,716,293,084,542,604,711,776,571,148,813,112,437,437,017,728,432,341,
155,538,064,393,657,446,024,730,591,444,532,581,421,550,959,746,391,139,570,
971,586,110,368,801,016,610,299,767,846,642,354,619,830,112,351,800,726,961,
603,704,023,468,882,222,539,377,270,144,445,186,869,822,783,081,404,716,625,
279,172,096,496,949,421,692,508,289,314,275,904,376,397,916,989,936,642,416,
380,631,097,309,079,581,244,634,727,524,272,739,220,091,069,698,194,638,735,
115,807,505,473,724,268,387,357,615,053,151,081,887,038,447,819,858,600,473,
140,147,368,323,160,893,031,918,195,475,592,043,903,355,982,085,923,408,172,
073,635,450,121,572,427,499,241,077,812,090,323,035,081,039,114,756,049,474,
226,667,976,052,928,137,423,361,615,396,013,945,310,937,896,946,560,922,648,
398,836,163,919,446,019,643,360,037,183,755,802,284,186,937,404,739,202,288,
129,324,245,925,050,465,784,861,947,539,989,938,263,458,167,508,755,141,833,
900,238,709,793,624,801,548,621,192,541,171,496,177,060,867,828,448,832,083,
632,291,621,253,860,196,066,011,242,243,262,650,664,082,805,929,107,077,605,
075,330,261,054,201,296,967,534,676,788,680,938,951,706,759,957,776,811,108,
834,963,250,515,227,420,021,994,333,832,139,237,990,844,036,450,289,261,160,
106,217,373,244,269,489,399,406,896,175,080,625,106,617,874,491,299,052,415,
504,823,148,396,027,138,519,614,316,168,976,893,048,987,880,935,513,100,155,
229,130,534,856,986,110,513,176,829,601,066,403,524,814,894,888,222,527,834,
191,402,917,210,261,459,474,518,373,848,866,003,872,263,326,122,521,337,312,
843,782,739,532,317,136,038,087,745,868,705,294,678,008,126,328,685,950,222,
077,832,606,144,953,891,066,548,384,848,099,763,589,148,198,336,894,989,771,
474,358,196,529,401,985,228,021,773,862,889,002,712,171,471,406,947,572,777,
691,299,188,231,656,106,988,112,994,374,808,008,914,834,241,730,632,891,016,
975,800,337,543,855,785,667,609,586,184,901,302,799,273,515,456,015,370,973,
494,440,583,778,935,570,480,439,782,240,206,423,148,921,119,359,637,091,163,
284,401,684,889,528,891,664,959,209,705,686,805,590,286,803,783,699,219,181,
254,508,146,948,350,302,824,345,592,355,578,079,040,916,047,745,776,791,969,
994,870,827,316,969,037,586,085,534,689,925,694,066,044,584,825,856,613,982,
027,408,249,996,763,602,948,032,209,882,682,591,167,355,754,735,120,135,534,
041,534,799,070,505,481,968,917,869,835,319,468,455,143,154,231,215,505,310,
669,554,381,391,863,652,323,039,918,343,214,515,239,321,165,582,540,473,563,
222,201,727,167,119,556,035,169,967,167,711,944,322,167,948,372,789,106,484,
934,981,795,010,669,057,849,370,000,953,385,337,531,339,920,673,434,057,439,
319,796,671,996,029,565,703,739,353,425,741,281,520,492,136,236,941,643,362,
466,720,519,819,494,078,498,208,771,729,183,833,969,272,739,845,050,190,110,
262,619,123,477,216,514,042,148,213,657,148,608,022,321,899,624,924,747,386,
318,812,259,698,941,475,069,462,917,785,844,754,928,876,720,323,479,933,340,
058,371,853,999,278,932,430,659,091,749,125,371,478,165,723,193,092,315,210,
487,017,157,802,376,106,603,835,919,618,052,066,241,822,474,300,530,165,611,
416,335,061,807,311,173,166,134,121,906,291,345,801,610,949,797,965,943,410,
056,142,216,944,727,296,122,276,240,915,140,043,248,662,557,591,757,989,162,
161,265,349,250,836,053,424,528,248,343,675,531,914,442,665,036,918,228,129,
621,537,864,418,855,376,862,069,021,782,821,679,157,805,045,907,533,175,576,
081,931,434,208,922,768,327,172,756,186,864,154,778,899,420,909,968,548,382,
484,962,040,286,629,355,070,325,780,071,419,062,332,007,463,867,749,257,036,
318,767,629,761,994,216,235,723,258,610,590,364,526,432,874,411,787,092,467,
929,924,098,363,325,092,976,036,559,794,173,332,548,093,172,893,864,921,466,
778,496,233,490,967,262,059,686,487,123,625,593,750,966,273,868,102,851,058,
723,661,961,571,999,663,965,092,581,094,028,928,432,671,440,546,840,844,873,
647,853,035,844,408,865,196,184,730,337,419,489,055,884,741,309,305,063,104,
398,310,647,761,358,709,102,130,292,774,604,402,786,191,870,459,349,506,474,
207,740,067,453,397,423,131,200,493,861,428,345,768,466,057,294,046,394,611,
288,205,700,558,986,570,627,552,923,093,488,968,362,827,886,494,768,111,554,
110,276,872,290,222,616,801,326,499,033,011,339,590,955,071,359,052,115,704,
067,976,601,428,199,269,342,663,891,071,078,868,428,749,523,564,837,017,000,
451,696,206,069,604,332,331,564,650,818,819,446,272,693,309,093,749,638,498,
859,125,822,260,939,762,285,088,317,012,820,053,507,723,167,087,807,097,775,
946,536,559,177,099,158,205,856,054,677,335,140,025,241,644,504,520,653,692,
145,071,665,064,082,382,728,876,389,488,076,726,211,241,001,445,672,266,424,
503,737,574,110,456,350,474,923,525,153,556,911,253,953,380,469,782,047,078,
847,625,367,061,352,264,047,335,474,027,162,259,596,178,406,407,125,503,591,
288,775,086,249,653,308,057,036,343,592,150,525,394,088,079,777,258,228,328,
704,948,164,779,686,404,855,971,863,842,211,497,886,174,729,505,695,892,481,
406,265,651,761,594,240,961,474,489,347,310,721,987,411,814,600,344,538,811,
858,420,939,564,744,750,845,243,825,409,471,951,654,591,907,536,521,235,247,
663,481,079,629,024,220,545,254,474,634,639,033,047,496,534,342,076,565,978,
049,066,724,360,922,324,555,330,107,698,357,513,722,950,712,455,201,128,050,
666,653,983,477,519,325,425,087,030,361,603,884,919,526,376,167,295,927,346,
029,822,293,948,080,263,340,986,443,057,588,584,962,560,342,760,387,693,647,
926,869,514,370,887,011,482,683,678,968,442,152,777,138,320,555,202,418,687,
788,887,428,326,091,658,578,051,506,951,077,325,509,923,506,865,070,394,953,
134,601,012,810,820,334,142,100,471,180,011,206,244,902,856,392,532,315,068,
057,389,296,911,949,324,272,199,136,318,644,622,368,194,289,684,575,397,266,
119,682,437,722,478,759,900,616,060,014,923,347,860,556,880,841,826,077,829,
184,454,867,295,209,781,623,011,388,556,542,710,976,135,320,620,340,081,211,
040,393,297,597,224,128,272,260,822,868,065,999,790,932,773,906,048,027,440,
004,122,733,897,434,029,076,415,968,536,375,259,705,699,024,992,741,569,696,
047,936,355,371,033,306,395,763,583,399,575,295,544,871,309,717,191,836,409,
201,228,959,460,341,311,041,873,807,799,627,701,223,335,167,244,616,028,436,
014,170,346,741,716,231,609,813,074,694,116,926,019,995,327,951,381,367,743,
352,007,172,315,744,140,172,397,131,225,515,063,964,138,183,976,074,426,943,
541,555,195,842,272,786,201,251,064,505,200,520,046,491,143,397,953,807,863,
400,949,795,751,693,596,565,999,676,501,085,735,804,911,959,182,569,311,183,
570,907,835,234,556,619,779,508,101,584,740,053,806,337,981,596,748,969,657,
839,969,742,298,534,099,649,997,440,873,318,914,659,623,381,577,925,357,816,
929,796,212,544,487,936,386,781,397,777,893,664,876,920,575,338,869,931,996,
615,785,829,492,656,806,646,623,503,947,556,958,780,850,438,114,400,114,222,
636,022,883,070,035,867,905,400,444,146,896,494,009,625,781,073,702,971,196,
298,118,818,032,257,744,877,543,259,241,624,483,286,566,251,646,632,901,429,
260,179,146,830,042,472,983,198,287,688,316,383,795,433,822,184,074,137,458,
195,088,451,121,606,557,309,341,169,998,301,292,902,037,107,962,520,092,733,
823,634,997,613,156,186,933,769,765,622,414,836,181,215,531,087,339,234,277,
014,921,711,895,542,854,189,306,573,764,521,249,326,734,026,326,959,905,123,
017,783,129,739,604,742,933,059,826,892,126,001,340,789,536,978,526,303,353,
813,126,760,965,073,721,290,078,359,424,660,852,552,492,376,204,936,041,397,
938,670,302,610,032,311,080,552,792,847,408,922,016,276,403,690,419,863,231,
309,594,149,813,902,428,557,948,665,276,246,132,133,559,003,684,026,643,959,
484,546,657,791,634,325,374,973,233,565,119,628,243,474,657,365,093,539,970,
827,432,918,087,710,170,970,728,476,257,120,879,029,304,254,650,203,795,701,
536,383,021,681,030,284,659,787,697,586,234,032,040,991,773,721,530,624,364,
242,748,412,953,019,824,241,216,305,702,021,470,124,333,662,261,654,677,787,
536,155,572,771,777,230,212,090,082,581,577,411,419,285,385,777,575,062,213,
592,702,761,583,909,964,362,118,885,436,359,144,653,573,814,657,951,834,954,
761,930,892,469,024,759,246,243,930,089,061,729,293,505,326,603,537,255,892,
558,226,315,542,479,705,193,641,987,586,694,727,097,966,854,599,578,171,567,
267,612,274,611,575,857,610,885,951,050,084,661,016,293,810,985,293,369,183,
298,782,500,502,177,966,024,545,798,163,330,126,571,834,911,661,209,296,039,
726,073,895,411,679,937,470,837,239,532,689,210,097,628,466,074,566,431,436,
656,239,787,016,467,638,651,916,233,029,580,447,437,795,841,492,908,504,849,
163,714,677,833,486,107,901,380,161,670,497,980,405,398,533,249,966,620,067,
960,770,706,673,869,561,741,232,300,597,038,251,533,482,399,905,613,252,146,
298,527,018,891,841,954,485,291,742,636,232,044,573,502,650,768,874,819,374,
945,959,664,520,535,375,723,913,652,034,576,175,643,447,873,645,409,760,559,
740,413,773,671,394,673,270,633,569,450,916,668,954,558,356,885,540,560,170,
876,475,053,308,919,885,574,445,508,639,220,487,632,303,109,673,761,246,470,
010,761,460,094,118,881,443,130,164,373,870,054,638,161,404,922,120,360,567,
936,406,439,426,182,813,028,761,514,317,830,867,288,455,031,325,732,281,617,
601,727,965,675,673,165,321,892,870,258,477,153,738,399,054,025,174,375,509,
123,531,829,481,538,252,511,310,971,357,436,165,935,260,213,308,305,303,513,
107,391,832,602,873,397,646,046,876,236,122,601,774,414,198,036,068,417,537,
852,212,318,610,144,571,697,261,034,621,755,386,763,651,182,393,289,806,385,
739,591,748,666,246,039,093,338,394,921,874,373,966,424,506,792,488,565,826,
952,927,606,884,958,634,990,453,424,187,786,287,789,172,373,061,934,974,577,
445,150,150,219,348,674,839,403,466,685,289,744,019,513,568,002,177,066,601,
912,487,207,115,200,516,553,749,611,327,930,958,931,861,881,474,055,748,218,
299,166,845,425,990,760,890,424,146,463,662,234,884,438,184,637,000,744,833,
512,101,891,357,885,583,390,214,120,082,950,044,926,626,713,798,528,495,410,
982,901,564,202,236,502,593,447,329,993,806,289,674,606,979,711,952,704,180,
234,292,365,445,819,194,831,350,668,415,516,882,650,295,430,314,998,786,659,
165,034,373,359,970,583,488,814,754,593,570,866,173,934,484,660,268,164,722,
549,330,389,423,654,193,397,647,206,578,823,714,168,771,874,929,911,202,017,
197,285,337,080,524,522,795,628,650,726,306,635,855,757,016,772,874,748,520,
435,235,517,860,285,013,893,020,711,357,328,938,016,868,063,232,605,164,890,
734,910,214,740,426,062,513,036,541,795,226,626,627,821,470,236,716,156,527,
581,274,154,569,563,101,546,116,199,315,132,162,861,089,242,968,943,465,836,
647,720,569,250,862,277,475,739,499,375,974,025,929,268,132,294,143,042,969,
009,083,477,682,895,036,325,618,235,938,572,419,720,318,097,966,491,207,542,
348,996,055,519,853,662,149,123,964,049,879,381,298,815,635,487,038,127,995,
199,518,145,947,462,019,834,670,862,396,532,327,549,989,542,573,935,118,867,
995,179,898,050,119,941,846,804,233,326,540,934,290,478,347,213,064,333,798,
729,459,285,973,845,650,828,352,518,992,841,197,848,091,657,503,733,845,331,
585,879,946,324,697,368,905,894,344,292,790,930,588,415,353,946,180,795,706,
996,315,633,627,320,451,044,296,188,059,207,926,991,546,922,507,299,711,197,
580,301,429,513,006,359,720,281,745,525,314,867,799,409,000,487,660,721,261,
195,758,894,632,205,527,066,426,893,741,917,977,231,486,507,990,017,162,373,
283,360,138,595,513,160,746,892,873,389,615,562,795,525,502,553,315,346,287,
420,378,413,046,617,969,742,838,366,293,380,790,171,936,211,418,822,160,999,
300,462,938,297,742,936,668,917,917,372,439,463,093,248,082,515,255,998,787,
482,971,991,647,403,041,533,442,350,628,925,794,562,096,328,282,203,462,356,
849,601,148,608,941,821,732,281,048,724,308,790,268,056,886,959,226,650,902,
999,744,154,281,321,251,661,167,901,700,809,094,841,646,696,038,970,470,431,
287,962,565,929,182,728,142,605,100,771,723,496,728,248,881,652,241,522,773,
141,457,336,515,411,310,265,256,951,088,140,226,653,005,019,644,787,894,096,
473,337,447,037,232,293,420,391,849,912,009,899,809,589,902,132,918,500,792,
739,045,364,954,386,388,106,020,582,766,490,046,238,964,769,648,489,683,153,
001,819,501,300,345,524,709,373,790,575,499,323,867,482,232,080,489,740,652,
711,891,539,821,462,837,032,328,153,630,854,080,223,330,294,014,546,362,862,
028,572,116,366,352,405,437,037,888,930,617,996,616,859,275,471,661,793,120,
176,259,016,198,516,816,770,856,414,295,603,848,895,234,516,993,249,935,167,
205,789,377,936,520,088,833,266,830,596,998,623,131,316,498,197,803,914,823,
008,813,513,232,446,472,621,321,157,381,746,464,101,173,281,445,154,809,372,
388,304,343,290,774,803,869,247,447,517,340,040,541,800,668,797,797,452,556,
855,035,941,807,194,037,705,799,868,157,703,034,631,571,441,692,288,130,053,
833,259,163,145,417,975,670,035,991,819,162,823,143,279,788,638,000,144,908,
035,999,257,686,042,696,746,751,280,228,884,121,559,127,851,371,337,127,544,
047,037,704,271,255,772,739,541,404,331,421,344,736,179,741,050,524,676,195,
803,232,921,990,850,469,430,450,172,187,417,197,737,568,651,842,653,961,548,
561,227,194,467,794,818,343,273,031,787,332,402,457,238,695,337,372,906,405,
028,599,874,652,825,502,019,217,967,077,706,942,528,319,922,175,932,400,047,
945,649,070,896,955,290,508,418,619,776,049,097,646,560,880,360,299,688,187,
697,072,981,075,583,539,343,395,991,425,957,451,136,114,086,186,052,189,878,
792,044,819,824,808,589,004,759,572,915,666,765,483,287,720,438,583,110,680,
590,268,046,293,042,839,496,077,565,910,326,366,338,494,974,852,892,459,937,
442,283,285,506,697,152,015,939,054,547,154,915,663,966,523,001,067,092,141,
181,020,780,153,071,890,087,138,536,769,084,896,752,722,519,855,015,069,261,
784,781,700,052,732,664,200,091,958,490,026,636,809,429,105,539,924,927,092,
037,634,528,314,131,016,425,218,886,435,718,301,435,344,424,015,332,672,837,
187,727,726,322,274,551,130,990,669,603,626,688,452,033,327,134,052,374,717,
476,257,964,439,807,178,022,577,202,743,805,188,268,380,611,479,815,139,805,
632,461,756,768,787,373,074,292,832,443,084,296,960,607,712,940,039,959,926,
989,464,964,451,828,248,123,963,306,224,400,937,518,001,374,215,781,819,210,
815,254,440,760,246,723,154,853,967,447,372,591,854,023,124,147,744,893,553,
152,294,753,961,356,258,720,741,296,654,201,838,098,840,021,274,821,937,888,
685,234,733,806,557,095,694,430,559,222,131,920,253,046,947,505,085,958,856,
472,747,558,346,412,835,703,567,353,516,158,725,900,277,930,275,958,404,176,
277,854,026,292,644,824,153,645,709,636,270,482,732,107,698,991,883,821,194,
271,640,618,806,653,014,860,374,993,515,980,558,420,877,238,037,819,535,637,
408,128,390,540,910,535,019,877,452,587,251,796,415,410,217,393,952,601,733,
054,921,165,330,482,047,458,841,609,850,683,288,927,645,185,318,089,889,680,
245,812,633,882,853,506,218,687,595,185,228,111,516,796,747,924,532,050,090,
038,263,210,665,434,279,849,874,954,392,196,125,242,313,399,082,500,408,697,
740,876,352,199,046,809,840,121,107,748,052,301,947,399,469,563,790,797,167,
556,275,332,925,173,870,815,416,374,011,401,121,733,460,889,740,791,697,371,
983,646,306,064,113,316,944,629,678,824,467,579,094,774,783,586,175,481,593,
653,263,656,134,884,253,892,532,201,644,966,191,100,112,740,126,608,959,921,
234,946,798,249,249,187,895,600,814,100,639,137,948,782,674,192,956,084,301,
297,913,751,531,472,479,718,708,843,684,940,232,406,304,447,536,377,482,600,
158,094,468,208,781,965,518,183,199,721,379,242,712,321,071,308,845,112,588,
750,692,679,556,635,648,106,583,255,829,243,624,638,390,055,487,500,219,392,
960,340,721,792,808,034,141,940,764,583,282,172,898,623,286,581,179,803,787,
722,175,274,459,435,303,000,924,903,937,241,088,221,014,937,907,013,132,268,
644,443,138,921,977,526,322,282,353,953,198,539,361,581,463,445,323,791,837,
832,656,264,147,465,038,322,642,403,026,371,600,597,769,672,094,428,749,794,
516,432,805,573,173,331,330,095,321,709,089,157,152,577,329,763,583,918,674,
940,427,362,833,602,428,650,968,386,673,406,273,957,571,818,160,165,614,158,
679,888,879,978,075,699,238,319,683,140,916,439,948,201,862,285,184,216,057,
896,421,333,113,347,969,293,496,487,974,244,676,971,638,875,403,416,565,397,
566,103,605,865,737,653,852,361,751,891,910,786,655,588,362,593,889,491,403,
883,722,513,722,631,085,339,965,971,795,359,401,566,789,829,883,984,974,984,
861,599,862,928,885,882,117,340,463,252,240,495,552,610,421,565,544,981,284,
519,561,386,352,896,514,282,880,984,122,580,813,604,721,575,731,568,171,993,
316,703,896,795,353,041,695,859,829,310,106,298,048,518,228,954,791,510,298,
496,088,591,184,952,727,829,648,282,950,758,030,781,907,674,778,721,902,533,
934,735,151,161,748,962,542,194,524,360,971,800,087,516,166,099,942,049,759,
192,721,539,555,751,423,861,002,366,738,083,310,330,222,928,643,049,593,156,
936,909,597,762,301,008,836,300,422,770,912,063,731,649,502,210,218,171,821,
211,955,854,982,876,544,105,885,046,375,151,332,772,229,887,939,802,962,060,
599,316,445,473,870,924,621,643,364,254,119,029,459,756,768,611,174,765,345,
685,387,139,204,192,833,314,366,526,461,184,888,104,605,018,015,987,161,771,
656,581,309,207,026,781,683,205,006,533,590,916,965,339,944,904,952,497,686,
598,331,464,119,724,438,579,286,334,389,511,255,307,078,657,589,314,953,942,
923,923,389,634,925,783,641,190,610,839,900,176,035,159,560,263,242,736,932,
935,354,281,359,687,844,088,435,656,584,258,616,734,639,912,739,928,225,969,
453,941,566,659,657,744,770,371,868,824,769,766,208,765,763,529,172,047,580,
372,007,271,973,572,308,857,583,541,096,262,126,695,462,407,555,788,515,999,
980,493,954,386,354,521,298,356,290,044,544,158,838,054,598,236,323,361,701,
879,459,849,549,558,279,503,487,597,178,731,173,839,561,381,032,944,859,828,
862,623,956,475,086,068,084,105,807,194,520,320,683,793,000,314,354,608,239,
886,073,904,264,294,349,666,420,433,938,280,910,727,463,516,957,275,257,759,
897,695,312,632,938,982,830,645,118,710,667,610,293,839,649,044,687,746,952,
109,608,857,396,471,440,196,169,455,069,380,689,402,976,330,595,343,887,950,
950,818,705,714,072,226,924,006,475,506,602,431,296,741,487,679,708,994,614,
580,847,983,008,093,170,046,663,141,706,614,913,927,769,055,081,868,712,939,
848,491,708,711,679,976,127,452,418,563,314,919,840,774,644,689,773,847,304,
959,575,103,139,692,628,022,321,756,650,370,047,830,773,744,807,514,846,358,
056,830,719,854,631,855,184,177,978,287,763,578,675,080,488,808,654,337,789,
240,244,416,894,474,943,926,947,243,818,715,258,380,402,906,593,567,045,673,
303,903,559,574,865,003,304,367,153,188,591,469,749,306,209,307,535,065,547,
263,663,653,612,343,724,558,861,047,179,270,188,755,456,258,689,675,680,712,
629,511,787,890,833,927,682,410,100,019,049,879,256,666,736,851,943,595,266,
594,562,203,504,568,145,224,762,038,483,590,285,725,604,421,042,000,865,118,
541,013,513,223,316,311,351,096,992,698,016,041,042,428,382,363,629,984,067,
426,332,365,188,929,835,793,220,301,737,057,683,205,400,870,325,702,362,658,
644,948,364,780,476,742,476,565,665,922,177,861,565,730,552,207,955,734,254,
395,449,962,785,239,977,417,672,086,129,393,275,832,050,758,072,323,980,271,
376,705,784,776,005,471,934,561,869,364,909,800,661,942,211,804,019,350,675,
739,402,555,624,217,721,979,544,102,663,063,780,670,450,971,347,280,387,813,
049,062,286,448,479,152,358,585,034,250,802,208,461,147,400,809,132,764,277,
467,168,894,167,965,163,174,047,922,451,940,123,544,836,077,962,693,634,584,
723,411,809,558,831,657,816,448,358,123,830,090,604,667,292,459,159,393,068,
643,775,924,868,932,205,392,271,493,578,063,747,748,046,078,141,178,121,386,
258,431,609,666,678,381,871,938,370,354,316,559,913,280,734,445,729,546,755,
487,233,031,667,594,312,198,360,664,684,516,565,034,179,511,886,568,568,252,
887,945,421,216,968,800,894,078,551,811,394,991,297,461,399,321,048,628,161,
010,179,514,977,473,993,309,199,551,296,763,835,732,762,326,299,073,802,044,
711,781,857,002,269,583,336,019,362,706,719,918,362,852,791,373,762,980,499,
908,498,851,346,515,671,884,195,845,789,636,201,756,322,981,959,296,863,433,
730,308,733,252,739,844,873,471,708,446,175,849,751,654,499,036,150,907,483,
570,999,878,066,916,453,111,646,379,050,729,770,890,704,666,391,308,804,227,
926,772,356,580,867,967,277,708,416,727,048,701,058,398,602,409,056,631,181,
237,535,091,873,610,548,620,424,138,703,162,251,197,251,383,723,015,378,484,
250,370,456,321,257,883,701,631,301,986,302,767,114,135,244,756,748,507,879,
762,208,728,274,493,463,632,057,002,941,279,153,580,775,251,720,225,538,191,
238,621,726,723,243,604,175,089,206,198,297,788,301,143,245,115,294,446,156,
542,055,023,045,537,180,672,286,519,154,194,584,613,142,229,845,497,812,795,
661,980,558,844,222,261,343,197,809,907,001,802,937,177,906,938,735,398,720,
741,071,929,238,465,325,197,507,997,110,247,367,289,216,541,076,827,800,112,
872,025,382,135,243,689,207,674,775,475,322,790,409,211,258,882,825,810,427,
494,517,555,245,144,367,257,751,041,940,644,804,810,679,556,584,229,232,802,
402,597,670,264,762,217,902,455,894,550,633,673,234,831,297,819,581,855,682,
535,893,817,239,194,662,486,228,262,674,385,073,200,492,562,025,079,457,832,
424,779,602,491,908,417,586,888,702,596,853,329,673,739,526,115,420,699,298,
580,582,535,281,084,900,793,583,098,895,754,865,940,907,635,141,835,210,856,
423,001,999,429,682,875,126,665,762,585,609,850,088,845,120,469,914,361,669,
902,079,324,354,015,923,252,379,398,377,221,348,135,642,201,607,989,805,734,
167,147,638,467,241,282,600,641,433,526,767,232,989,107,478,931,890,619,032,
476,879,783,150,389,321,686,184,647,121,575,520,052,885,806,287,016,704,221,
148,227,944,685,759,373,718,317,115,973,060,406,393,187,443,886,343,202,154,
399,556,350,449,303,469,174,412,983,549,888,029,466,244,094,940,797,740,241,
364,370,552,953,856,217,864,688,721,038,393,202,214,030,877,400,660,106,438,
951,123,944,158,016,505,286,248,400,043,961,359,050,368,055,647,894,900,949,
972,235,661,969,435,757,336,481,361,433,946,220,936,620,646,909,300,923,011,
367,290,923,966,533,610,912,418,819,070,138,542,954,350,998,879,324,965,839,
479,096,793,833,332,763,817,254,696,393,104,695,254,425,785,102,053,329,366,
760,392,559,800,563,713,378,567,920,134,957,445,316,124,133,071,229,414,169,
384,249,507,131,124,561,352,866,789,446,906,271,352,229,210,655,290,765,321,
417,267,109,464,595,696,298,066,944,296,731,831,660,644,577,609,198,049,258,
039,031,538,468,680,533,977,877,434,336,586,063,764,906,414,445,787,179,328,
131,363,135,487,167,791,992,521,727,254,383,214,868,596,504,601,822,038,012,
707,519,561,322,759,580,275,044,401,390,045,910,757,543,611,698,612,950,161,
918,930,817,937,592,333,256,596,164,961,167,014,951,451,346,531,467,849,453,
054,680,476,971,265,717,026,071,771,458,354,996,341,235,330,890,640,323,955,
217,819,877,037,626,765,602,193,880,574,010,985,343,992,699,321,404,368,034,
500,852,252,516,413,738,725,407,913,282,516,046,426,547,651,083,948,308,080,
109,905,246,561,442,679,403,147,093,944,985,782,609,166,705,562,833,408,191,
614,028,335,333,765,200,353,799,941,156,128,027,079,019,643,706,196,585,196,
638,199,202,421,895,612,586,261,882,664,844,890,625,076,228,873,605,879,630,
464,111,579,572,529,252,250,001,912,965,511,360,290,842,107,704,472,117,234,
334,895,434,859,159,022,296,478,059,942,148,376,726,533,558,173,312,030,281,
930,002,832,034,486,092,711,443,634,255,240,606,707,001,672,372,093,898,229,
359,003,747,658,279,099,321,133,607,129,755,880,771,132,112,240,153,342,182,
787,636,583,113,801,223,614,400,667,481,985,765,275,992,056,304,029,743,741,
177,230,411,842,465,297,932,608,736,140,807,656,784,713,718,406,091,549,445,
136,076,515,065,555,177,854,547,776,834,424,268,866,696,875,981,489,467,751,
749,460,135,243,831,863,568,077,717,675,658,672,451,678,845,594,377,779,495,
937,983,788,148,479,015,492,108,059,581,534,014,926,835,982,908,744,076,781,
270,659,543,756,868,398,322,203,071,429,728,499,316,465,977,372,379,461,369,
849,619,208,345,846,862,824,354,647,536,434,629,823,066,464,979,002,854,490,
573,646,685,359,485,240,058,178,581,515,401,108,221,200,685,703,543,563,216,
716,962,192,995,423,146,939,742,965,625,570,072,142,728,827,425,165,406,948,
371,201,007,231,380,260,249,041,787,630,710,205,190,932,680,912,316,627,142,
136,626,603,483,389,630,932,551,096,603,379,873,925,283,883,511,943,666,093,
773,045,127,439,277,845,876,390,551,963,193,587,625,835,229,044,571,346,230,
729,844,196,780,513,293,141,936,174,831,765,769,127,065,982,840,928,562,702,
263,216,315,384,529,025,334,493,865,203,369,000,643,823,057,878,224,631,935,
367,807,377,247,678,211,182,090,319,996,677,701,729,036,477,190,713,022,830,
672,444,204,008,486,025,658,025,585,523,869,694,348,451,445,434,049,553,353,
934,971,568,925,286,940,449,665,688,596,272,218,080,421,384,721,527,810,265,
659,789,424,667,894,687,975,538,358,987,856,260,694,903,899,161,670,960,291,
584,404,827,236,539,481,871,611,165,408,291,913,532,248,095,750,975,058,439,
044,497,457,494,644,833,791,658,237,004,606,262,479,342,642,324,086,111,325,
040,383,939,925,931,366,381,284,188,546,107,102,629,939,016,563,920,773,907,
312,501,762,411,150,063,357,045,172,853,954,164,956,163,969,630,040,340,656,
347,589,446,718,794,089,030,521,790,499,332,788,093,469,454,451,360,399,122,
100,020,956,334,325,733,352,459,188,565,175,296,123,118,211,598,346,608,773,
211,779,081,334,387,841,009,376,327,323,295,000,624,278,255,624,196,988,680,
551,211,338,429,388,703,770,046,892,131,596,901,602,847,110,823,102,327,872,
016,973,253,074,801,759,318,703,742,555,838,842,837,741,949,924,714,158,589,
359,258,545,397,893,116,296,729,367,761,994,995,574,372,441,396,536,360,226,
201,326,088,218,376,455,632,801,388,588,966,122,073,771,906,651,679,342,031,
605,381,633,933,596,841,183,051,911,800,664,433,674,785,074,367,637,927,337,
233,170,061,192,486,388,889,930,079,911,790,638,982,849,376,641,980,278,768,
815,058,876,032,405,976,722,213,344,626,445,417,440,444,734,499,348,968,244,
560,138,431,878,458,843,075,249,216,793,796,972,100,348,581,135,693,731,070,
853,734,464,245,712,643,856,625,032,899,439,415,300,294,344,736,673,788,247,
137,702,243,719,761,285,425,812,473,416,337,483,145,795,403,422,332,516,352,
657,414,853,998,471,721,817,756,758,421,939,254,232,057,599,569,523,014,310,
392,045,592,202,993,407,248,400,971,511,592,436,509,529,959,901,009,234,004,
451,808,522,627,708,305,735,611,978,674,075,660,377,272,856,692,364,993,469,
804,410,868,092,629,659,604,456,063,332,066,085,545,464,357,280,228,542,686,
316,123,623,337,613,303,150,066,992,718,252,021,279,642,455,480,935,534,376,
736,240,906,695,380,666,347,081,644,903,754,489,824,535,583,364,075,081,661,
629,540,978,931,540,586,923,411,184,133,313,695,681,953,730,890,161,127,535,
685,930,313,290,742,829,660,101,582,363,369,713,549,879,855,920,232,498,423,
141,549,930,550,371,831,482,631,105,149,326,786,739,914,178,498,801,797,949,
838,560,203,812,009,756,774,862,987,953,037,906,735,216,454,778,589,163,637,
128,466,816,686,543,691,320,969,116,800,070,679,781,504,438,482,731,475,456,
350,302,051,504,783,438,436,809,468,842,492,710,293,060,556,514,455,366,340,
123,997,274,674,160,577,363,243,984,378,882,261,604,089,650,807,169,122,723,
741,796,637,585,484,111,877,005,338,724,233,683,515,883,593,913,181,146,463,
205,031,142,376,529,919,001,131,051,163,546,289,105,962,272,019,575,865,227,
533,533,088,174,082,991,151,907,253,786,818,028,499,426,183,787,305,977,388,
700,067,609,296,238,576,267,150,147,758,683,866,019,505,342,329,336,106,113,
688,674,773,979,746,467,945,111,525,640,509,837,575,771,857,147,682,061,330,
076,851,553,899,501,394,892,033,957,627,054,319,190,043,211,470,934,878,756,
464,900,355,371,900,114,809,358,057,478,416,718,279,566,246,004,642,992,810,
195,638,573,392,489,442,832,063,048,725,624,683,995,184,922,950,559,797,899,
913,797,112,739,295,564,520,294,512,340,851,930,895,930,705,795,120,605,744,
793,097,850,481,445,769,104,271,897,122,541,250,307,745,637,185,648,934,689,
349,744,446,995,124,578,993,089,209,669,706,976,988,194,670,114,317,883,045,
345,787,082,990,342,745,092,569,269,267,671,851,060,769,159,343,117,792,832,
522,520,711,510,359,352,244,789,586,901,277,193,063,546,274,302,902,182,575,
957,865,605,049,876,716,842,076,308,936,455,484,784,306,882,884,621,828,852,
276,437,591,806,183,096,382,615,383,014,918,077,010,831,247,060,043,051,243,
001,554,743,759,277,518,746,442,727,838,282,493,202,241,418,063,234,140,888,
890,943,212,873,296,673,163,378,416,053,729,953,472,045,952,700,414,914,521,
587,197,971,662,959,512,160,298,529,236,771,695,419,445,006,347,942,247,130,
262,982,190,404,227,503,187,806,996,369,270,650,344,310,937,436,083,149,418,
806,976,145,081,562,418,715,413,538,981,152,683,945,041,360,930,890,128,849,
055,887,502,429,106,031,308,837,294,548,432,151,086,149,825,968,142,687,119,
222,153,525,868,167,966,533,971,263,936,003,572,398,258,304,228,080,781,196,
077,372,520,054,763,202,218,981,054,170,277,283,378,398,677,422,110,788,748,
198,853,137,802,525,838,602,773,767,853,920,671,666,285,749,249,304,895,851,
241,624,923,938,668,413,567,529,528,532,940,744,159,956,003,400,832,744,311,
990,979,900,886,369,604,273,459,601,667,484,899,490,091,098,732,922,645,901,
541,884,311,512,433,428,165,680,896,901,108,229,548,892,403,265,421,159,595,
029,976,636,915,412,380,768,804,301,783,873,836,055,876,958,478,673,181,354,
278,078,140,583,345,655,743,237,515,322,809,768,095,644,863,428,252,502,425,
695,260,333,179,215,026,700,011,448,671,280,644,000,206,828,726,278,420,336,
242,421,578,334,667,723,605,677,790,240,351,128,467,788,505,032,737,929,767,
945,707,752,036,716,497,498,262,871,395,024,797,351,585,072,168,517,892,556,
777,275,046,109,921,797,936,344,366,670,903,711,258,362,077,207,908,012,497,
896,622,663,432,160,299,153,845,715,633,686,368,538,147,978,946,914,634,873,
172,073,758,266,452,031,701,304,630,823,644,565,618,866,800,229,422,413,985,
090,903,909,358,498,884,398,377,374,164,266,493,467,980,977,408,017,671,415,
964,314,781,356,182,486,058,846,731,634,740,199,856,147,952,521,926,039,004,
598,625,157,852,863,749,349,946,391,111,990,400,036,548,761,195,772,390,240,
820,372,852,463,561,449,019,501,889,194,589,693,812,606,851,614,650,114,618,
940,792,351,477,172,164,732,186,564,748,046,516,666,433,474,631,402,414,472,
814,915,931,062,155,998,980,279,155,067,405,597,409,748,430,047,595,736,446,
463,464,084,596,415,536,816,495,913,398,704,035,455,545,013,913,821,076,154,
190,098,164,957,766,670,428,922,244,437,043,606,526,734,928,273,670,050,678,
208,797,233,724,796,520,411,464,537,035,302,050,006,454,801,560,442,031,192,
259,227,622,483,914,844,828,700,204,708,148,145,031,354,259,030,332,215,583,
093,078,373,350,761,852,588,738,024,423,566,560,640,356,299,393,676,362,922,
534,279,398,228,339,954,544,227,746,873,004,062,131,194,104,974,944,096,158,
615,852,268,884,974,255,686,272,943,880,939,121,416,599,974,258,506,465,133,
908,594,195,341,597,848,472,897,723,747,420,334,796,911,524,686,885,063,639,
935,565,809,517,768,824,832,884,413,185,023,340,445,028,226,617,219,090,765,
388,832,276,087,639,002,232,756,695,310,843,379,737,431,751,733,683,328,382,
936,459,398,564,985,392,181,550,557,097,251,206,723,771,985,783,174,733,666,
040,285,319,972,451,114,091,796,117,549,173,926,585,853,381,867,287,054,038,
825,497,513,889,223,969,780,815,633,406,311,419,189,441,615,482,445,897,086,
145,399,403,988,705,231,057,585,109,261,072,789,201,460,746,429,138,032,520,
750,427,574,517,284,525,843,315,556,820,131,383,532,570,758,855,569,427,581,
116,059,516,017,097,267,445,555,672,340,276,783,996,820,630,077,096,965,717,
672,652,407,192,230,995,059,234,329,105,407,020,328,334,729,154,533,213,876,
934,017,979,346,907,906,605,792,000,131,846,927,169,778,116,423,141,311,236,
808,850,366,951,557,614,918,918,862,870,684,401,666,778,186,520,803,200,527,
541,051,656,946,272,053,571,780,813,555,000,132,122,446,866,632,179,408,418,
437,805,342,820,546,412,398,609,326,210,226,009,985,482,019,768,744,017,658,
911,552,403,260,537,408,237,096,397,828,026,454,411,010,151,021,534,624,093,
505,813,285,853,218,341,300,007,180,308,260,052,972,201,264,471,676,636,089,
048,017,241,310,972,932,977,626,870,988,984,351,247,615,281,385,194,136,446,
004,044,997,847,538,675,409,749,893,356,516,274,319,503,128,884,481,623,358,
065,836,768,178,632,450,332,185,025,131,937,582,189,775,896,892,234,963,684,
260,425,986,066,203,517,264,260,752,313,054,954,539,102,420,107,096,306,871,
724,456,972,852,092,468,703,829,492,954,720,612,430,734,838,612,571,550,338,
496,853,173,102,341,621,175,524,896,894,415,794,108,897,887,667,119,833,800,
326,358,957,211,949,183,849,654,494,361,941,661,501,167,438,776,644,051,363,
065,786,733,524,477,106,070,709,415,045,117,313,626,897,458,382,220,714,440,
857,862,562,516,900,989,186,956,023,276,864,789,581,270,634,582,409,584,019,
753,511,836,859,331,852,675,084,878,588,383,508,443,251,732,688,917,306,457,
330,199,859,840,667,970,116,455,359,204,015,984,965,126,957,559,260,775,874,
449,753,558,717,750,027,870,170,396,597,299,240,609,715,522,349,456,301,892,
065,643,993,242,979,049,879,023,364,498,676,097,357,041,081,324,829,906,898,
007,580,592,582,253,095,173,702,041,409,452,168,908,098,011,606,805,329,931,
529,059,461,356,845,439,539,453,528,534,464,762,847,294,726,858,384,387,861,
179,536,830,159,940,975,266,378,579,930,065,045,193,683,248,303,250,075,991,
177,587,906,043,239,753,287,897,614,789,613,170,092,292,467,874,438,410,121,
755,838,483,345,493,233,670,642,932,290,990,431,288,030,119,919,629,969,978,
212,767,913,694,369,140,959,222,953,134,198,780,012,887,595,014,785,775,462,
069,487,427,928,279,678,342,177,606,397,423,376,669,718,151,257,481,317,821,
103,789,381,326,959,508,286,056,939,794,154,222,981,219,180,863,186,491,928,
788,409,143,197,125,108,815,166,986,558,672,965,959,214,968,367,612,151,688,
744,720,024,319,171,817,271,916,864,870,872,905,084,077,507,472,993,900,633,
986,496,748,581,048,384,702,348,277,616,965,278,667,198,445,197,102,982,433,
445,401,225,199,481,322,079,865,973,236,231,909,039,719,721,045,260,692,984,
175,715,406,976,309,889,308,391,148,708,587,937,066,395,700,010,948,550,699,
815,040,591,012,320,030,252,472,278,997,609,141,082,818,553,459,384,571,467,
525,618,278,598,417,720,692,651,171,161,296,212,737,334,934,489,009,083,308,
595,907,404,659,163,638,038,323,849,680,330,645,234,227,197,775,430,983,912,
458,104,215,609,372,798,786,819,315,655,071,179,981,186,664,211,908,020,320,
730,344,186,441,844,048,610,049,604,647,865,058,423,056,197,269,874,042,435,
713,635,405,983,913,503,258,796,239,538,982,051,002,156,723,466,219,846,885,
930,841,111,980,939,351,207,329,428,054,602,166,046,735,401,574,280,953,684,
674,271,529,308,083,620,771,698,821,063,110,854,274,269,947,427,600,334,621,
463,406,376,648,723,880,858,079,288,580,364,254,544,854,575,472,172,170,418,
206,345,180,807,677,488,287,826,985,274,669,391,361,995,210,065,270,010,482,
041,398,914,879,410,987,848,964,827,012,741,577,963,634,607,983,284,343,495,
943,955,610,317,289,586,360,334,475,702,452,809,971,502,571,081,303,203,776,
599,638,308,054,578,754,542,797,022,225,138,105,542,007,660,071,044,842,529,
020,446,230,658,793,363,719,022,490,222,359,322,087,459,724,818,400,299,015,
782,827,536,350,686,202,950,084,972,776,569,684,800,501,128,727,479,307,404,
786,483,689,869,827,269,337,494,984,173,764,261,439,300,106,013,487,244,388,
398,850,008,886,748,717,704,704,981,816,063,108,463,594,334,449,330,936,195,
416,820,508,062,402,081,998,005,752,254,959,373,997,134,614,860,055,577,159,
014,377,270,445,309,599,976,314,591,713,233,555,145,443,499,201,363,439,681,
890,554,425,736,078,295,837,625,584,750,162,154,400,500,312,426,285,554,992,
911,584,207,149,456,533,670,167,215,504,133,498,966,977,769,754,235,059,274,
186,427,883,497,275,229,214,809,424,179,336,082,743,093,496,512,082,347,359,
713,334,032,102,658,693,691,584,798,912,119,250,596,193,720,874,430,863,392,
104,676,320,137,450,435,972,961,572,115,124,060,346,179,677,537,112,935,339,
578,932,080,536,081,569,865,823,979,519,628,622,105,652,216,161,174,660,038,
463,232,626,759,414,429,661,118,626,560,360,985,746,214,413,342,843,818,322,
034,231,087,440,667,914,883,237,897,235,237,149,303,602,262,670,993,293,910,
009,158,378,186,724,796,361,451,481,705,705,501,141,366,787,618,883,064,895,
482,861,405,813,975,064,493,583,241,719,623,351,284,125,459,592,411,805,053,
375,770,625,109,037,325,484,504,571,161,233,710,445,667,497,396,302,855,136,
986,007,262,303,972,592,639,256,886,055,697,110,259,952,515,955,044,862,533,
535,442,129,409,195,097,263,077,613,178,490,460,925,550,236,350,950,701,029,
805,187,455,075,378,224,639,530,862,498,130,740,032,867,421,189,455,024,122,
046,589,143,185,020,889,776,382,270,785,708,411,028,838,890,420,924,186,988,
530,571,385,362,633,918,400,828,483,353,732,505,633,384,393,845,515,599,981,
225,202,584,185,284,573,046,210,801,729,084,758,018,102,644,868,327,000,330,
952,924,762,089,503,548,041,329,974,437,435,567,465,314,733,616,642,785,627,
543,178,554,072,555,563,168,774,889,111,875,890,925,010,062,415,170,786,061,
745,602,301,257,776,473,847,993,356,259,211,537,734,375,160,916,034,640,097,
281,129,656,391,784,970,268,056,395,783,279,280,912,951,725,495,366,922,433,
873,897,864,897,856,207,870,869,604,584,580,102,510,489,764,306,841,676,362,
097,867,872,806,591,054,885,339,945,193,204,983,360,219,130,784,854,330,528,
917,106,026,283,136,558,713,831,993,516,357,833,751,735,147,041,611,824,611,
665,651,075,412,497,377,218,409,482,055,542,130,881,966,677,525,231,708,621,
247,739,220,259,053,477,640,695,966,724,892,440,290,208,892,667,293,170,492,
957,716,400,291,316,195,227,222,120,384,442,177,852,373,342,159,798,124,916,
922,868,226,048,307,711,172,386,485,861,156,851,190,827,868,450,162,135,755,
771,167,859,701,220,711,495,178,416,692,236,449,945,374,228,598,687,637,133,
948,993,250,643,582,076,131,221,286,295,427,890,050,166,164,949,917,014,535,
327,048,479,683,179,810,951,895,284,227,068,231,448,488,033,678,057,229,126,
835,334,337,004,341,039,500,168,251,702,584,188,828,126,570,188,079,155,494,
574,986,378,195,177,992,979,524,676,720,400,990,912,577,055,314,319,988,042,
598,475,333,559,950,124,140,805,416,922,047,205,714,253,681,885,489,719,420,
540,745,116,778,520,791,747,640,271,581,092,830,106,763,110,079,359,085,961,
922,961,676,067,823,478,329,211,208,852,480,134,344,305,197,121,110,465,648,
728,933,682,067,933,482,872,231,319,124,165,037,268,375,641,359,830,787,035,
500,967,123,328,546,483,794,503,207,464,040,080,178,956,684,429,379,450,981,
374,535,176,094,554,628,116,324,327,837,524,843,700,428,908,389,156,741,243,
923,639,510,838,608,504,906,690,266,354,658,161,878,522,202,559,005,186,757,
876,957,684,571,463,226,172,661,842,652,205,022,698,346,193,616,183,480,444,
181,050,897,866,947,377,851,222,278,005,277,251,498,129,827,305,776,945,877,
082,877,077,310,794,495,148,897,402,571,638,453,863,440,890,975,240,652,528,
859,507,286,106,257,272,606,501,115,255,069,442,925,507,519,551,849,717,670,
327,976,341,191,420,605,825,557,107,324,407,023,907,730,567,427,015,787,000,
035,981,975,604,561,165,680,611,242,347,561,198,026,598,061,327,131,756,420,
296,086,475,526,043,813,052,521,213,083,513,420,299,132,607,782,023,041,686,
340,792,747,181,646,274,130,308,127,789,395,648,373,429,044,882,453,340,576,
767,693,196,613,004,097,755,003,420,834,605,988,359,629,442,020,670,967,663,
793,712,285,727,965,073,262,684,606,190,845,190,148,562,174,323,147,494,323,
426,646,637,678,261,048,536,564,485,451,459,864,911,820,935,998,029,968,598,
285,162,276,619,384,018,968,599,271,011,428,010,472,153,231,403,195,224,768,
673,350,818,466,115,998,651,466,821,706,811,841,318,105,959,332,201,889,139,
416,676,313,313,048,713,795,818,064,580,148,216,309,041,922,402,523,324,042,
554,491,060,555,410,139,838,972,780,826,323,176,130,718,225,392,217,614,712,
831,848,120,732,148,613,042,055,239,839,896,700,560,985,773,040,121,788,473,
274,774,870,175,565,971,815,387,434,678,064,363,932,360,577,606,136,677,196,
021,505,517,325,829,773,503,627,132,440,502,703,507,410,825,592,840,317,228,
919,077,323,630,439,371,158,009,196,467,230,389,533,899,890,851,006,528,090,
050,522,906,011,153,498,033,222,956,158,672,723,707,907,257,714,705,583,049,
899,745,281,880,159,742,930,462,407,210,253,913,026,848,530,560,434,555,358,
517,299,611,598,976,565,273,384,062,477,752,356,255,616,769,042,063,538,136,
464,391,192,564,461,622,620,597,597,289,680,559,072,441,258,849,273,363,948,
484,079,956,269,966,952,817,554,008,406,186,119,637,405,479,064,198,990,931,
538,123,604,380,203,965,866,762,991,868,385,358,976,989,961,040,834,723,059,
971,187,568,665,423,755,891,096,624,138,224,938,401,569,076,554,790,597,365,
138,238,703,196,665,072,662,887,891,889,343,632,161,235,572,997,020,935,533,
250,702,544,715,631,167,556,672,472,047,232,940,045,675,961,149,949,606,109,
799,019,712,887,764,036,140,492,605,237,936,163,496,217,147,267,611,834,004,
584,406,729,912,967,649,160,516,842,288,633,037,127,663,717,094,960,237,629,
385,339,089,495,897,904,238,378,347,104,119,566,537,876,165,566,492,167,097,
451,896,035,123,915,844,780,856,347,482,136,693,531,763,361,864,535,338,703,
704,908,936,187,239,746,103,389,945,043,011,811,612,470,990,480,940,200,231,
182,393,969,599,326,724,877,117,968,596,328,906,832,877,690,505,671,274,493,
968,772,323,451,348,275,700,443,698,432,360,246,432,736,453,399,358,290,980,
568,107,295,801,728,827,943,048,616,299,265,454,680,206,087,979,138,376,786,
960,445,424,946,162,085,694,864,406,222,959,540,570,656,399,455,409,476,572,
728,444,550,855,628,602,858,594,382,043,004,203,417,540,243,179,486,102,981,
518,631,034,263,720,929,757,149,840,871,592,735,436,505,324,835,931,414,781,
792,359,958,313,048,587,597,820,097,760,762,297,110,020,959,602,715,919,072,
522,717,292,553,551,382,558,032,748,638,055,968,829,775,144,266,087,314,127,
494,142,251,109,732,787,410,205,779,063,892,204,886,500,086,957,857,198,869,
736,258,861,187,496,343,382,834,952,082,820,003,383,202,763,467,844,869,771,
048,381,266,009,807,635,599,402,109,107,683,172,313,622,771,248,402,298,415,
779,769,338,346,546,652,821,743,625,104,256,989,450,031,385,418,463,251,535,
355,590,411,051,845,389,919,719,286,995,425,640,712,419,938,015,762,716,288,
305,389,874,152,664,721,378,286,116,343,154,772,484,548,880,140,746,575,043,
231,441,680,180,416,581,149,285,916,345,084,275,290,467,169,489,744,449,990,
605,591,387,744,325,256,125,714,981,199,732,819,887,524,135,428,097,683,805,
443,139,906,449,564,132,620,888,693,314,144,606,238,596,297,626,218,157,672,
722,557,160,257,630,495,935,630,960,220,756,654,549,896,824,419,018,591,493,
591,658,017,726,660,262,412,275,702,326,687,820,736,519,724,605,343,265,570,
075,925,765,289,198,193,555,625,578,391,854,215,871,989,109,953,805,540,116,
571,925,440,594,276,512,227,198,796,522,459,786,472,707,256,240,520,173,307,
956,088,298,750,607,249,915,036,441,331,613,548,252,647,610,975,964,343,558,
225,224,785,930,220,590,418,892,712,346,807,675,647,635,410,249,003,220,742,
338,592,521,029,706,744,445,201,805,977,846,484,786,289,063,165,588,959,648,
415,726,495,129,718,563,220,699,140,853,205,719,518,942,148,613,229,067,049,
426,775,809,844,660,151,629,780,200,657,248,623,668,638,999,988,360,657,273,
589,894,309,336,203,921,273,725,868,563,094,661,671,254,671,223,068,900,071,
384,566,847,976,127,364,541,116,100,647,943,756,795,085,149,176,626,848,853,
583,200,756,005,990,794,487,204,916,697,310,810,041,758,389,687,924,509,436,
754,083,846,475,224,874,313,504,012,438,959,289,873,037,847,064,228,208,837,
693,612,924,453,588,253,854,119,288,308,400,633,185,809,265,436,902,843,539,
886,083,681,205,818,086,471,342,819,065,384,259,916,202,243,325,950,865,842,
890,350,524,307,817,075,831,500,188,009,219,769,534,262,078,561,372,688,935,
946,088,836,261,550,570,578,870,239,421,220,749,648,050,314,670,425,169,630,
435,507,196,494,147,424,720,128,419,117,388,998,006,944,736,199,852,391,324,
981,158,194,266,899,059,315,975,355,161,069,088,044,424,599,360,383,578,103,
730,084,144,870,226,927,594,230,102,825,869,699,793,504,888,365,544,731,094,
410,508,009,969,499,487,490,807,297,342,289,117,763,973,273,124,254,410,457,
200,201,083,061,972,812,999,447,962,260,165,052,261,622,176,770,472,061,941,
094,860,420,309,631,875,720,445,674,159,657,418,098,491,007,344,824,543,310,
701,896,749,440,325,011,366,918,119,510,584,931,763,039,338,497,389,054,036,
851,877,308,154,848,224,362,242,214,081,664,617,099,835,416,778,632,930,495,
777,068,871,258,048,626,464,411,457,300,315,166,132,995,459,738,880,795,253,
908,423,433,700,392,065,752,466,556,243,289,703,958,682,207,715,756,128,578,
853,426,537,457,586,515,707,442,892,695,613,185,580,436,091,180,096,814,629,
491,213,446,619,918,064,908,050,097,520,934,762,370,750,399,308,616,624,433,
936,250,790,177,044,476,854,248,908,023,510,419,045,842,297,790,353,782,243,
157,276,574,778,413,036,688,883,870,811,821,761,453,027,593,196,032,818,826,
415,798,201,928,406,528,713,651,352,850,020,251,501,008,822,871,679,885,330,
861,995,969,885,814,774,229,420,132,402,559,202,776,845,296,033,721,073,585,
571,511,826,863,549,681,754,946,575,977,050,892,984,371,453,746,385,925,686,
229,410,413,906,930,062,832,901,831,037,121,672,763,646,972,397,679,633,342,
632,337,210,201,014,962,440,408,275,375,594,766,234,239,413,448,198,134,294,
067,154,364,053,325,537,404,586,050,843,330,311,996,254,505,629,717,327,751,
516,773,215,207,729,029,834,462,715,734,783,980,235,174,474,310,129,100,884,
520,295,730,748,428,101,803,590,127,145,182,169,319,668,189,669,375,052,634,
031,858,186,557,029,470,278,547,503,597,687,157,643,764,775,761,847,427,781,
023,885,560,875,948,002,048,681,144,097,023,625,049,622,953,105,291,804,603,
295,118,778,378,460,939,846,478,016,001,105,432,548,187,301,022,058,231,646,
471,791,567,796,358,021,886,796,379,662,497,719,883,914,791,283,837,643,945,
448,645,690,875,765,163,558,768,137,620,859,053,844,559,438,740,003,722,971,
788,432,326,966,249,194,841,648,428,963,746,813,512,395,967,984,054,862,218,
751,027,530,882,354,377,550,367,134,055,601,636,175,029,255,226,535,797,951,
342,707,859,061,378,932,819,764,102,438,826,265,076,106,575,771,872,551,219,
444,925,905,971,930,156,555,174,993,473,243,102,332,926,836,262,073,820,531,
501,162,483,598,893,382,280,158,951,343,129,214,216,018,071,599,028,577,835,
190,799,409,517,518,491,999,763,218,696,130,936,442,084,780,991,211,463,526,
996,763,235,597,260,801,741,133,045,314,574,487,909,496,502,919,953,610,360,
374,754,737,632,728,504,043,713,735,237,776,049,324,221,101,256,470,194,683,
132,776,856,951,108,807,270,504,052,413,279,551,426,606,818,716,862,582,100,
481,916,995,182,749,508,935,526,794,155,730,943,487,449,403,392,979,832,218,
227,055,848,423,844,983,670,692,290,743,557,527,878,445,726,092,806,815,107,
967,110,061,849,754,693,548,626,687,492,230,646,694,468,811,691,361,412,087,
278,706,039,866,789,825,378,060,453,624,385,860,870,697,820,209,035,226,852,
996,864,509,260,039,099,440,982,884,081,327,851,236,096,165,435,202,313,714,
247,545,132,377,604,575,278,474,682,622,586,309,990,187,888,621,625,419,407,
364,883,068,345,190,028,065,315,383,364,553,780,251,880,899,438,827,200,810,
042,734,502,584,485,231,583,693,128,937,465,981,073,144,102,701,488,653,503,
072,061,487,844,284,280,653,427,363,785,303,009,601,765,822,954,158,395,025,
006,292,570,530,687,877,096,307,805,581,390,065,907,207,599,617,775,089,213,
802,169,983,340,868,392,409,948,391,133,151,895,122,533,538,186,350,574,230,
725,378,889,381,543,183,310,702,707,234,474,472,686,750,614,820,843,650,782,
074,736,456,829,045,956,744,974,996,680,863,880,811,403,133,489,980,855,819,
413,920,828,050,503,909,708,213,025,692,405,372,225,000,582,622,737,705,003,
264,806,414,373,883,737,777,868,104,461,850,116,805,141,501,086,762,723,817,
355,121,618,971,171,515,276,279,879,668,784,283,817,636,025,516,241,345,678,
681,507,252,248,549,214,121,132,112,630,167,694,439,064,205,267,394,898,679,
243,638,739,574,301,752,407,557,210,803,767,919,816,736,786,061,477,444,940,
230,871,703,794,882,927,386,828,139,436,966,562,278,138,616,696,527,379,535,
028,240,348,476,036,845,352,120,861,385,677,571,114,568,825,834,786,394,914,
077,232,644,622,517,159,656,225,543,510,765,882,691,721,304,287,847,668,212,
421,517,700,237,206,611,145,239,732,813,119,949,922,562,405,018,630,737,082,
611,508,575,931,598,889,639,810,599,572,198,966,298,486,495,917,534,683,624,
061,156,779,570,122,106,425,865,665,470,713,633,237,638,903,426,933,956,294,
556,626,606,432,285,135,012,571,383,433,060,489,127,559,184,056,519,391,141,
559,383,538,097,158,738,473,480,701,195,705,951,271,272,132,030,222,082,981,
048,070,895,526,925,475,707,022,851,809,287,646,481,042,549,430,212,389,010,
765,922,334,354,240,834,794,133,499,031,984,325,641,976,248,733,268,101,633,
724,936,033,925,443,804,939,851,282,841,303,022,054,343,914,903,680,169,576,
961,990,264,162,857,617,567,882,009,424,709,096,340,782,538,318,254,092,968,
634,528,581,109,505,601,104,397,118,652,375,880,688,241,599,775,792,834,498,
163,603,111,314,707,739,898,573,185,439,299,483,833,862,508,292,866,323,782,
444,693,589,556,067,468,998,272,216,511,843,953,564,508,212,478,172,348,090,
857,316,236,415,994,832,102,672,729,346,596,177,035,310,965,746,931,876,083,
652,160,735,591,447,841,658,118,507,523,000,209,956,512,667,400,919,492,324,
121,409,777,406,090,509,960,657,586,976,251,101,391,515,812,561,794,675,694,
815,317,444,238,414,702,807,476,776,904,926,544,565,612,445,789,794,083,966,
950,491,941,451,049,131,376,730,955,377,654,819,436,641,833,423,091,120,885,
903,264,978,481,248,894,398,114,489,079,014,439,569,700,224,368,967,586,694,
322,532,557,942,147,008,876,391,133,593,530,979,503,684,133,972,743,787,562,
364,579,611,626,266,741,465,189,409,016,094,160,233,959,544,875,536,790,723,
633,559,574,661,196,855,505,225,584,351,416,963,368,032,268,173,414,402,192,
630,373,382,341,820,173,890,493,569,071,750,268,702,440,574,312,565,407,826,
437,118,458,888,656,729,747,409,411,821,328,735,790,837,641,579,213,350,512,
272,868,642,014,266,915,660,205,605,424,077,149,716,619,091,502,039,772,806,
014,959,659,089,280,242,235,262,611,867,269,284,610,005,466,447,585,161,199,
525,988,243,068,905,210,996,561,656,204,333,813,014,394,050,069,404,725,923,
085,475,014,467,069,197,046,692,585,294,392,922,033,687,775,679,786,678,626,
181,560,181,147,542,004,056,442,731,555,033,731,916,095,685,182,767,208,847,
304,142,181,698,474,023,510,966,424,865,929,083,477,946,140,563,667,472,368,
542,327,340,402,464,586,346,215,721,520,919,291,856,100,246,669,487,485,335,
303,482,725,761,654,125,333,243,539,992,362,345,875,550,995,343,160,407,826,
989,727,955,316,277,353,327,641,539,527,359,599,728,434,841,223,757,778,114,
486,250,369,342,916,185,571,874,078,887,098,018,311,222,743,840,028,328,191,
335,224,674,297,715,662,740,754,005,104,087,547,082,991,405,412,264,599,662,
392,818,493,576,568,996,164,445,197,444,019,033,356,032,644,761,005,662,292,
152,219,531,046,515,702,292,959,729,166,348,991,999,295,171,199,409,684,462,
019,577,704,728,317,517,581,729,570,854,769,525,913,391,079,178,154,452,776,
892,191,802,997,176,979,515,354,016,932,330,918,898,180,386,510,824,101,051,
584,589,440,278,239,434,602,509,201,851,634,766,378,501,189,069,562,491,043,
000,782,979,463,925,777,294,797,921,822,982,720,045,563,438,807,673,302,133,
684,600,513,445,664,292,258,668,056,886,693,482,683,709,644,035,059,215,624,
158,433,763,221,909,710,747,873,869,710,027,980,353,225,733,260,837,227,593,
654,340,307,296,536,029,915,870,361,976,942,632,691,328,356,487,879,447,959,
197,900,524,915,915,105,328,169,231,897,520,939,866,773,886,538,797,726,460,
289,389,908,384,378,773,471,359,909,707,521,346,882,285,786,591,217,432,884,
027,131,495,467,000,438,243,495,800,902,311,920,209,299,304,613,186,399,095,
401,216,025,894,265,532,669,521,974,449,472,460,309,228,361,957,666,189,576,
488,168,955,222,279,290,128,630,470,127,161,819,144,477,659,728,479,049,506,
763,950,662,210,272,949,529,379,968,744,136,999,208,227,961,355,811,871,595,
428,727,852,470,080,610,563,772,653,196,156,624,943,708,645,663,145,829,465,
931,070,831,979,791,481,383,439,248,626,804,864,893,379,303,861,884,911,330,
293,227,376,617,833,408,175,096,761,579,106,421,036,154,836,202,117,070,640,
468,788,776,417,133,132,007,070,607,961,629,498,689,194,418,712,487,884,699,
584,914,629,106,386,699,466,674,531,284,624,761,080,640,263,617,656,432,657,
511,248,523,653,940,278,598,791,743,058,767,974,332,757,874,535,887,492,279,
118,247,397,899,588,585,127,219,518,334,368,560,298,347,300,850,754,444,921,
106,485,078,721,791,505,381,571,675,247,062,026,763,772,512,768,713,711,603,
834,321,594,536,631,966,043,827,717,555,998,304,887,813,847,427,685,070,365,
329,983,513,397,184,029,300,774,997,714,244,239,878,225,268,422,071,001,799,
353,466,852,751,405,163,702,160,482,625,771,533,869,780,038,752,539,746,370,
302,662,637,569,572,440,544,120,864,946,380,236,479,375,667,594,909,984,427,
674,495,060,333,674,073,032,552,738,637,586,974,952,063,342,254,198,519,930,
478,166,319,164,889,045,087,409,066,225,641,340,879,175,806,737,567,509,695,
519,049,898,280,092,663,539,710,012,835,552,060,832,398,266,280,255,168,537,
020,533,448,838,756,384,840,714,834,494,626,251,443,777,727,012,919,585,789,
470,763,112,168,578,891,193,506,138,366,508,418,421,609,708,086,311,763,458,
174,263,458,440,115,178,235,090,146,821,826,634,815,374,222,008,061,284,527,
455,878,587,866,158,795,936,365,841,101,783,469,860,826,232,843,857,251,646,
012,215,141,681,279,877,805,375,444,990,031,151,370,063,949,172,292,147,639,
778,402,980,457,834,254,703,024,876,469,231,035,120,575,115,828,992,433,357,
232,514,314,719,612,316,574,773,435,511,689,840,112,474,071,111,918,334,762,
986,136,630,838,145,247,947,882,874,665,791,842,911,593,484,544,102,491,909,
809,592,122,744,333,154,474,290,575,953,067,056,104,840,084,518,821,294,680,
052,296,565,695,906,908,103,370,737,880,908,945,320,638,432,043,547,455,912,
371,086,959,779,739,872,446,005,864,450,949,932,671,218,933,144,152,529,931,
421,552,974,259,099,857,440,958,070,320,442,980,015,538,858,123,046,191,279,
971,811,176,534,174,977,806,219,180,000,317,558,068,283,430,032,855,040,015,
416,023,597,305,140,977,024,556,172,012,649,929,041,728,612,042,007,988,494,
659,320,013,532,215,898,049,121,194,183,283,081,781,996,507,236,883,550,114,
770,124,521,304,714,430,728,246,241,496,180,396,842,335,323,417,885,222,654,
902,383,931,198,585,316,909,345,664,813,980,233,748,279,908,378,915,246,615,
514,229,161,030,418,329,686,590,431,371,789,288,489,447,095,134,966,384,625,
344,866,248,916,509,162,700,486,356,911,786,233,284,756,339,734,879,594,376,
895,479,509,480,154,938,130,386,265,946,587,403,204,877,303,397,068,740,071,
061,612,899,641,063,449,012,932,286,035,701,730,190,933,666,497,933,711,341,
202,218,234,922,300,466,164,748,911,550,912,748,952,721,991,150,571,370,913,
987,578,279,681,022,079,165,619,002,005,395,726,126,939,909,087,682,132,357,
435,649,030,227,694,406,269,986,039,869,568,129,029,571,388,320,628,397,582,
340,477,527,602,179,825,617,728,697,005,740,255,625,119,562,927,343,904,275,
730,247,617,337,397,009,695,603,665,721,547,041,226,572,723,201,641,747,806,
881,277,575,509,919,750,997,461,423,743,837,328,009,353,083,341,495,186,816,
682,123,881,123,574,111,393,252,480,591,687,433,530,376,204,357,246,410,406,
863,985,268,045,975,225,571,758,740,439,129,886,325,683,557,272,929,271,338,
885,894,652,234,825,106,977,430,846,246,052,024,587,805,573,782,649,806,522,
774,736,050,583,803,334,946,530,845,089,990,331,768,884,203,603,525,702,946,
307,720,290,092,624,878,604,378,983,915,129,760,962,032,665,155,566,061,772,
783,489,359,184,729,823,104,651,186,909,601,810,165,129,218,705,019,501,615,
651,064,217,192,690,791,462,465,231,219,117,220,435,348,510,493,129,699,844,
882,416,113,477,240,964,213,269,694,155,948,661,750,917,091,836,614,510,621,
320,779,732,058,803,692,035,346,472,314,845,897,374,271,541,236,189,495,466,
027,941,045,344,119,079,330,900,317,360,340,930,931,078,439,221,013,151,949,
270,526,249,436,360,844,855,801,725,234,665,539,798,746,017,892,651,608,649,
906,524,390,541,960,705,619,811,106,609,405,873,989,214,882,987,570,122,297,
449,545,742,405,144,028,783,066,803,159,196,561,387,596,308,615,071,698,863,
847,768,018,767,291,140,625,596,806,581,463,648,403,258,193,082,807,693,227,
878,868,022,524,339,742,935,921,705,508,067,868,994,202,337,264,334,008,402,
554,257,130,845,916,493,499,103,680,429,844,398,248,395,605,526,435,889,963,
477,903,063,704,887,006,115,969,180,696,138,751,979,740,225,796,659,930,156,
857,023,928,618,597,770,247,719,010,664,879,188,260,113,196,615,027,337,050,
285,889,389,113,761,402,690,503,087,087,250,179,390,328,794,390,904,742,729,
241,775,061,180,812,247,038,763,292,214,742,454,086,721,133,543,796,201,845,
295,524,098,726,576,212,946,566,479,771,164,597,101,781,646,608,838,992,417,
893,585,248,395,889,852,844,120,662,480,418,717,986,615,579,133,865,615,028,
292,466,939,503,162,057,714,916,695,919,964,936,920,127,851,942,930,188,107,
106,224,356,022,770,415,874,046,744,030,989,690,957,823,343,113,341,755,615,
836,925,119,248,034,508,813,113,270,352,131,596,478,672,937,591,625,469,365,
915,381,004,742,036,671,336,299,571,669,568,702,932,661,296,831,048,250,859,
601,564,668,456,928,585,227,127,409,787,985,221,321,343,405,924,985,616,238,
400,408,465,519,623,121,028,158,201,102,925,304,038,574,845,145,626,177,872,
637,312,944,286,686,019,993,179,505,626,081,389,427,184,427,890,595,460,368,
795,571,890,673,510,756,218,715,881,335,355,227,172,844,149,792,469,161,226,
664,027,450,740,303,390,915,397,116,857,509,251,502,510,566,506,237,122,545,
948,978,412,903,071,472,915,227,247,507,023,151,669,950,165,254,729,814,428,
088,699,096,224,169,118,030,508,171,100,514,028,612,459,211,175,559,349,391,
343,653,517,700,042,638,844,182,763,337,980,168,322,023,352,165,442,129,442,
949,663,773,191,446,559,129,248,491,208,477,844,688,621,060,284,130,250,213,
070,769,500,355,694,907,404,199,684,999,243,991,965,587,682,013,614,205,713,
867,522,762,751,400,183,296,885,020,509,284,983,704,142,721,268,648,926,670,
588,875,653,215,855,222,424,838,900,325,259,995,423,668,321,753,354,997,462,
680,373,431,666,988,687,759,388,797,584,413,739,845,734,363,346,421,484,100,
029,510,166,096,187,240,121,118,700,488,811,325,538,562,816,084,829,809,336,
545,466,389,366,807,760,688,488,257,842,334,400,089,636,488,019,495,457,256,
858,033,175,951,989,527,418,648,833,974,501,987,738,584,782,323,486,511,895,
818,159,864,678,606,821,356,708,360,603,861,494,022,165,612,922,049,776,783,
641,386,905,252,192,888,322,459,022,477,741,996,597,645,664,899,398,512,096,
570,763,501,822,749,596,160,328,824,322,101,315,818,866,307,517,180,658,183,
383,804,133,837,661,403,706,859,710,392,538,827,106,463,497,865,664,759,212,
391,600,070,936,171,337,990,533,712,093,678,466,409,260,469,036,533,469,511,
676,851,000,315,105,088,737,351,171,329,039,425,493,235,853,518,778,201,876,
819,582,571,261,332,590,288,653,016,338,593,380,840,342,445,247,134,228,282,
016,955,919,267,573,836,559,003,192,676,233,435,180,769,204,993,222,327,368,
578,536,469,734,016,763,183,257,870,435,282,929,259,443,446,507,736,176,383,
984,097,392,597,880,135,416,553,213,261,099,036,689,594,944,396,889,715,302,
255,505,627,027,344,948,114,610,034,277,932,476,694,312,020,297,119,534,470,
297,277,404,424,710,100,142,335,546,654,138,643,195,805,640,364,969,970,896,
325,719,693,975,468,876,318,318,780,539,022,644,884,294,095,041,526,762,844,
007,839,384,144,459,900,012,772,085,638,462,950,029,500,326,790,197,286,203,
191,566,174,816,411,678,239,224,342,968,385,977,197,734,719,950,920,927,370,
511,265,458,223,103,787,361,662,607,214,103,512,223,154,208,490,934,241,132,
942,431,418,344,721,298,053,391,510,030,323,615,483,244,176,598,538,988,617,
862,403,184,232,711,521,005,090,263,661,833,328,675,940,392,366,548,849,221,
901,063,653,586,191,061,802,005,666,721,526,945,579,535,013,639,918,188,021,
656,096,992,742,630,029,270,186,447,963,427,502,942,208,037,437,925,029,043,
352,503,227,828,643,589,870,125,845,334,565,733,335,520,788,704,243,965,218,
358,842,878,441,561,206,229,887,168,217,077,503,705,986,349,543,354,874,117,
841,520,641,800,314,337,615,020,455,447,506,316,848,799,864,983,505,020,947,
007,943,094,556,663,388,980,802,337,482,490,403,284,735,232,051,416,377,003,
485,543,549,701,548,125,782,356,587,840,357,115,851,105,125,360,917,264,027,
755,461,022,138,531,841,129,460,855,541,070,585,634,968,149,979,339,235,110,
529,040,399,506,159,298,854,761,859,482,957,264,826,527,427,270,113,163,575,
486,109,604,739,855,293,412,820,161,787,343,840,298,429,982,607,426,804,419,
822,171,811,709,003,659,615,381,234,155,509,949,653,750,946,993,722,548,903,
684,851,179,407,306,658,489,843,730,540,832,164,659,953,016,191,832,555,500,
647,052,529,641,580,857,163,654,407,448,800,588,623,706,660,049,191,711,491,
235,162,522,604,026,719,381,323,021,204,645,557,282,177,033,362,994,079,029,
716,198,883,545,268,159,406,997,072,295,382,654,421,444,186,791,816,391,533,
566,403,098,535,532,337,216,261,258,346,461,082,709,644,035,898,957,075,655,
177,522,644,894,840,871,458,661,091,076,423,717,819,493,810,162,705,889,800,
264,374,156,046,243,346,385,831,107,130,958,529,170,748,937,101,261,110,664,
726,909,732,281,111,319,118,289,146,070,317,039,468,315,680,304,310,837,701,
327,309,596,133,716,458,488,618,781,880,662,401,938,038,694,017,688,864,811,
510,974,157,191,363,189,548,654,013,582,503,652,662,922,093,241,976,510,139,
280,689,203,599,898,216,084,826,682,875,430,721,662,850,462,241,809,462,928,
334,995,880,597,436,399,581,693,421,783,473,719,766,569,245,979,507,712,695,
065,535,549,894,681,044,437,233,979,930,198,557,509,870,764,967,422,468,440,
861,152,726,388,895,533,101,537,644,904,496,915,789,335,579,484,199,842,742,
004,113,451,972,696,179,401,801,488,211,820,581,395,395,798,815,101,689,791,
119,554,774,314,198,592,843,341,206,909,329,957,175,434,070,062,267,096,550,
600,753,415,438,846,573,022,779,448,657,156,927,038,116,434,373,768,129,477,
856,547,119,213,833,254,406,711,958,359,461,742,869,869,821,864,445,334,530,
808,174,818,293,047,944,673,220,671,958,601,004,364,350,426,986,147,259,867,
572,550,118,196,581,416,916,813,316,917,885,801,779,633,807,123,114,975,106,
175,580,374,527,335,198,397,272,549,944,796,579,758,762,574,273,526,134,196,
669,813,988,882,206,200,395,893,418,531,312,801,637,594,929,599,732,317,811,
011,066,363,355,704,008,176,985,948,720,522,375,378,613,153,077,083,217,909,
990,666,119,945,629,793,019,791,058,212,534,336,013,623,306,047,842,592,570,
274,008,337,221,156,034,034,149,255,904,603,296,066,189,753,994,567,285,981,
355,389,696,410,646,116,194,859,708,115,811,903,873,065,484,508,987,670,954,
312,837,338,659,802,500,589,608,851,649,032,012,757,325,655,903,068,504,182,
395,376,326,736,464,325,758,879,713,548,198,058,767,310,800,345,364,408,392,
024,856,108,211,652,567,855,741,660,333,528,201,611,856,211,769,316,443,052,
186,686,425,201,513,637,399,456,933,488,160,291,290,264,913,005,234,014,706,
030,131,033,773,612,504,434,339,591,105,912,844,516,770,433,701,207,974,910,
061,741,555,392,667,320,630,778,712,285,219,565,701,919,850,717,505,245,698,
939,887,034,719,324,983,792,283,392,905,413,666,659,630,477,999,087,575,783,
917,996,988,785,748,846,362,873,751,647,273,607,148,943,553,635,376,989,731,
752,122,671,533,276,589,031,852,994,033,832,187,342,741,332,242,798,803,992,
572,686,325,555,294,932,315,913,666,290,959,982,342,034,039,883,103,720,599,
792,247,472,208,472,730,330,170,893,453,469,082,476,359,182,559,006,005,181,
740,829,482,351,806,065,047,846,093,226,468,827,942,838,599,002,599,442,045,
979,745,759,670,259,956,596,065,969,321,630,432,667,626,141,192,468,429,118,
403,362,346,553,531,979,990,028,373,669,637,384,751,586,664,831,998,760,118,
211,379,909,164,733,230,637,002,012,704,182,600,761,781,023,421,161,107,053,
730,778,869,073,480,256,057,619,386,280,179,888,097,933,666,034,586,274,744,
826,456,052,707,076,420,379,645,017,859,773,095,895,582,882,400,657,374,992,
242,948,298,114,785,163,071,574,906,680,038,747,135,880,975,971,790,296,185,
981,725,693,293,905,470,973,378,159,096,092,121,303,340,731,917,318,415,198,
586,431,845,225,011,717,756,410,745,679,979,186,836,956,807,745,284,586,635,
595,951,333,596,448,758,151,038,800,873,809,735,805,392,363,015,973,827,369,
786,490,437,107,169,163,112,642,810,399,113,073,475,545,829,386,859,961,078,
870,491,783,407,481,531,948,571,049,031,825,761,517,923,703,266,370,309,854,
768,445,616,751,114,712,738,843,574,830,289,087,829,189,662,786,813,149,129,
313,368,173,299,714,760,011,791,385,131,783,007,635,520,503,459,793,644,245,
198,053,141,149,530,111,034,942,471,128,047,854,453,504,856,200,501,046,176,
664,499,051,360,960,311,509,839,044,478,480,088,067,576,214,525,441,971,384,
337,967,359,456,497,053,620,606,412,822,171,071,084,076,437,720,993,835,486,
521,609,779,689,032,272,095,357,464,749,248,623,160,930,615,215,338,205,088,
409,034,880,064,998,426,843,948,271,937,333,780,057,242,664,757,544,873,358,
019,788,317,846,071,301,207,343,240,512,831,918,535,148,838,305,177,339,205,
629,752,416,685,597,446,043,998,309,574,622,180,975,711,465,626,495,392,859,
596,753,639,834,124,252,882,260,989,493,603,009,904,432,276,578,776,228,291,
670,527,669,900,131,560,805,268,486,278,092,804,824,212,406,769,044,443,109,
266,473,900,977,186,514,059,274,804,604,123,339,438,608,191,595,245,448,840,
668,774,887,521,255,971,722,255,403,199,754,253,466,754,592,861,672,528,821,
084,411,439,633,314,040,293,649,218,092,985,508,352,552,200,722,632,383,401,
740,600,083,460,214,807,265,294,427,630,246,074,274,717,194,756,911,325,295,
024,168,861,163,894,589,045,053,136,464,056,325,363,255,059,670,551,286,600,
287,917,110,517,878,063,564,142,416,337,366,650,759,392,304,505,497,773,970,
704,752,617,221,455,405,807,685,208,337,619,783,839,040,722,626,747,398,811,
146,886,691,665,993,429,338,149,511,273,948,402,173,499,098,946,589,215,805,
199,679,605,663,437,973,460,292,821,698,040,670,210,911,707,333,825,086,018,
867,291,651,096,967,657,144,998,795,151,754,934,590,359,024,209,875,248,001,
971,458,743,697,291,718,435,178,348,274,528,208,725,518,818,342,776,344,293,
323,222,762,084,702,484,600,140,427,613,155,050,985,559,314,164,001,679,259,
535,718,037,649,017,540,409,558,095,467,986,774,691,853,349,603,749,291,408,
539,895,662,157,920,675,709,003,688,039,188,118,006,475,654,910,557,185,210,
516,192,228,485,579,041,160,359,284,016,019,048,278,912,579,860,805,277,581,
441,517,724,583,022,202,793,493,672,453,391,413,650,141,332,612,644,915,737,
902,977,130,228,969,752,869,135,247,424,949,859,702,082,590,662,870,924,316,
058,236,998,491,364,381,877,262,046,967,976,749,497,745,725,338,666,929,517,
430,820,119,457,473,422,865,633,635,417,587,588,369,996,520,334,816,772,159,
681,334,934,617,558,959,791,527,326,550,597,143,907,491,848,791,192,451,768,
792,276,250,381,912,099,504,559,019,554,474,364,763,487,686,304,546,347,170,
861,026,627,108,382,608,220,953,697,520,943,874,732,187,196,327,309,138,918,
472,975,982,403,944,315,945,111,351,732,306,599,286,914,494,113,093,869,893,
163,232,740,642,930,372,512,672,254,920,025,384,184,195,106,493,126,972,529,
122,055,875,784,864,504,466,086,500,212,358,922,984,687,789,340,204,944,956,
449,552,384,600,254,953,646,766,083,815,201,222,815,266,196,909,859,466,822,
414,376,330,997,538,653,506,020,473,023,650,919,089,571,619,466,730,909,481,
207,485,300,724,938,978,029,542,240,655,599,278,340,049,858,426,329,532,072,
456,877,919,193,148,958,095,209,663,100,968,548,412,307,375,551,692,662,429,
776,564,119,995,365,991,848,815,558,206,807,609,998,308,410,593,394,325,085,
736,761,979,298,389,546,028,554,559,961,293,511,893,429,936,327,100,228,982,
197,575,894,149,414,514,030,374,408,515,769,809,712,080,576,293,464,343,682,
559,623,226,954,665,350,168,129,121,015,049,437,892,601,498,165,605,183,997,
000,735,653,738,159,980,613,169,890,308,654,909,369,175,715,006,984,256,626,
129,029,054,925,829,621,193,529,775,546,778,526,946,996,909,994,208,331,882,
818,415,586,954,176,841,281,450,252,183,851,388,096,746,596,843,428,596,005,
782,562,678,443,424,276,250,081,967,072,368,619,683,201,536,054,446,247,816,
193,228,715,798,928,745,356,509,100,575,935,302,222,086,753,380,306,577,777,
683,840,797,664,657,386,313,270,390,751,137,118,311,211,882,895,024,972,885,
461,238,365,193,271,141,535,198,264,550,148,312,216,212,362,774,539,854,268,
424,131,793,038,177,407,669,368,488,866,141,343,962,652,829,570,571,057,011,
152,600,921,593,136,205,438,837,989,301,571,114,645,113,012,378,690,537,688,
722,312,956,279,096,238,980,722,602,858,044,280,121,356,218,731,910,264,804,
028,101,014,935,999,449,273,915,094,593,790,970,379,989,817,914,044,122,677,
002,012,566,339,871,536,499,945,587,050,691,209,870,607,708,621,278,278,334,
772,331,643,055,448,922,788,816,182,466,652,748,694,761,778,411,541,025,295,
458,556,527,281,845,996,200,318,983,105,421,605,302,845,093,875,722,969,325,
855,010,061,188,587,830,531,931,021,896,372,548,378,250,526,890,156,108,999,
361,656,936,820,815,372,198,866,582,872,282,089,680,195,850,680,549,921,458,
642,481,029,032,490,095,178,558,667,144,970,073,333,617,242,527,623,925,470,
199,352,476,171,254,139,312,934,982,857,296,639,600,181,982,318,314,235,610,
329,576,405,791,041,174,031,147,465,844,353,295,150,145,078,227,626,512,301,
228,175,132,805,589,422,176,545,512,677,488,043,829,460,194,011,601,717,392,
665,310,361,888,878,116,688,895,091,278,644,457,244,772,886,186,530,621,591,
616,833,699,429,122,574,811,621,371,068,731,340,813,618,912,904,656,588,057,
688,915,947,736,566,661,050,596,602,888,865,684,991,411,443,307,970,378,761,
259,640,937,914,721,367,431,590,544,057,082,545,396,176,832,004,537,830,743,
582,303,104,104,337,338,334,248,318,893,255,685,570,989,129,269,169,129,659,
713,857,803,037,393,241,871,696,499,294,720,024,223,338,117,159,118,780,251,
148,801,714,891,403,452,091,518,112,048,676,836,811,325,771,194,125,028,785,
657,540,910,398,794,369,688,139,293,542,431,447,014,401,250,798,361,676,120,
892,137,121,459,025,077,088,778,853,567,224,075,309,364,061,205,054,288,160,
841,286,880,166,902,362,631,008,840,920,253,372,601,939,585,501,915,005,510,
415,264,144,063,670,725,412,217,137,556,862,885,362,786,429,176,184,012,470,
052,193,961,876,658,856,104,173,864,779,894,654,856,901,575,262,455,789,680,
165,476,704,954,718,824,211,216,423,595,865,231,389,825,632,709,906,490,324,
502,039,385,523,301,713,609,057,234,394,521,252,900,034,908,745,117,095,975,
711,500,577,364,145,515,762,920,137,128,853,874,345,733,154,845,061,113,871,
829,690,916,291,844,395,788,382,222,899,976,269,913,551,803,835,776,743,826,
684,828,300,952,545,448,293,726,201,813,096,124,389,810,968,421,426,324,305,
211,826,866,710,597,443,224,410,194,791,026,140,431,306,727,607,044,233,810,
621,278,850,848,983,535,329,015,288,983,214,884,354,948,082,974,642,578,344,
682,917,651,710,123,975,350,613,162,461,541,744,374,006,053,094,635,745,714,
561,485,981,761,750,032,169,605,267,938,192,075,971,272,863,322,118,487,859,
437,918,168,787,400,339,509,663,648,959,335,609,336,806,536,441,037,449,102,
640,057,531,733,564,196,326,852,260,803,406,897,735,820,320,639,930,277,627,
377,235,064,859,058,622,437,142,950,799,455,854,829,803,025,708,168,026,391,
104,637,656,239,035,940,814,352,228,067,437,927,906,623,376,711,396,906,279,
504,039,117,537,957,920,118,866,293,602,644,961,475,001,147,705,182,831,467,
190,805,022,678,236,641,649,432,135,873,812,608,097,028,588,389,301,262,897,
481,680,191,017,662,111,971,973,923,798,921,102,867,737,399,124,510,947,954,
945,648,606,248,549,717,647,808,400,903,763,805,543,715,199,539,843,626,953,
821,826,370,503,468,850,939,449,367,887,392,751,208,740,713,980,411,274,710,
595,808,703,512,356,257,142,799,928,333,862,560,948,564,982,341,726,395,800,
008,194,685,064,947,925,444,593,663,486,148,754,137,670,933,712,561,539,935,
327,466,740,041,518,516,268,525,522,873,815,451,140,447,896,082,410,406,248,
771,328,799,198,949,261,533,336,379,232,803,005,158,798,168,963,878,303,525,
275,864,341,484,107,540,238,920,813,839,641,017,321,692,061,490,642,616,479,
857,201,768,331,402,504,217,258,277,539,181,649,775,470,659,131,091,587,855,
533,012,538,987,689,602,656,000,329,146,496,168,901,949,933,659,017,339,220,
102,185,446,719,497,231,114,062,769,663,864,697,346,179,330,868,656,330,363,
148,510,337,160,908,373,714,014,551,616,645,946,531,138,768,429,842,912,861,
135,658,350,822,184,075,704,133,252,983,514,667,403,828,977,297,858,175,190,
661,052,489,348,728,829,561,313,141,161,674,389,587,594,769,172,040,735,276,
138,632,960,104,467,619,224,483,539,261,992,824,915,687,746,905,822,701,788,
032,349,869,068,036,550,001,628,035,654,979,757,359,535,335,746,595,663,202,
350,752,348,848,120,580,049,872,010,381,678,843,727,553,777,941,859,316,835,
590,669,102,134,605,269,899,686,515,908,435,846,794,938,865,428,191,563,796,
284,362,706,235,524,819,560,128,404,238,115,363,888,952,814,122,800,838,883,
364,963,234,158,429,138,621,493,125,791,622,847,351,095,600,569,780,544,731,
845,249,607,187,920,363,867,485,201,086,727,988,638,164,221,116,192,373,136,
206,141,637,638,557,269,196,966,318,129,261,165,324,155,527,646,958,139,907,
822,500,990,582,537,940,824,337,802,027,979,584,743,920,939,596,322,783,980,
191,398,514,807,360,929,117,069,153,073,938,496,748,847,277,825,675,710,411,
842,497,065,357,493,117,841,842,331,513,877,135,300,456,291,070,182,125,723,
246,748,798,115,150,384,275,746,699,837,982,616,747,909,709,118,306,107,298,
667,570,365,810,264,523,015,344,705,970,106,554,088,645,067,025,722,544,788,
495,210,705,806,980,678,515,090,970,544,687,229,740,877,432,985,767,654,818,
757,658,561,755,806,980,366,529,699,995,570,082,990,102,607,466,697,884,660,
685,537,165,233,209,064,270,767,209,338,995,425,115,847,698,645,502,186,152,
755,832,495,548,286,636,744,311,158,854,238,181,222,416,447,060,645,060,175,
083,302,314,207,249,313,910,723,190,998,085,634,935,172,246,701,366,194,474,
144,848,954,823,573,598,942,258,260,271,119,387,490,570,793,717,501,326,119,
659,421,503,812,398,528,955,148,155,026,630,346,218,181,083,901,479,635,696,
997,618,318,634,541,306,001,341,491,519,004,103,662,038,932,679,509,757,373,
320,021,819,947,672,757,909,263,306,071,812,201,179,112,349,370,483,372,903,
495,761,382,187,011,134,596,069,106,982,266,730,158,293,841,280,282,252,578,
228,142,218,607,710,753,541,683,451,851,183,027,242,414,282,060,429,391,294,
302,874,758,058,487,912,600,388,495,160,488,321,831,621,996,394,518,817,978,
166,158,522,068,918,070,017,708,753,456,974,079,730,916,918,882,185,322,692,
428,139,081,246,079,718,790,943,521,395,251,072,185,499,633,937,059,517,169,
073,765,048,322,321,272,200,187,778,102,660,326,365,883,928,435,924,073,832,
311,837,864,923,312,214,208,473,807,163,060,918,824,672,162,555,241,907,653,
672,894,587,047,944,465,188,268,521,370,902,333,711,884,778,085,224,065,004,
324,226,536,756,439,103,272,052,087,829,257,522,023,708,888,194,168,720,416,
524,523,016,489,684,155,367,744,183,371,498,775,623,021,977,604,006,068,221,
664,122,358,751,271,750,303,613,600,416,958,159,333,662,326,238,956,560,083,
616,210,360,930,919,625,098,919,941,418,556,625,709,792,690,594,494,879,425,
476,603,970,528,308,218,948,892,188,557,403,495,021,292,586,508,900,238,464,
196,531,041,150,702,688,790,216,883,151,930,562,483,038,911,725,884,552,194,
516,310,189,615,964,069,030,577,213,767,262,304,929,740,388,613,082,784,761,
715,277,047,812,260,966,535,650,392,593,141,790,737,595,805,851,532,017,434,
459,195,463,583,617,657,769,023,404,778,621,865,670,907,020,836,779,281,729,
359,901,358,516,820,146,913,692,798,724,055,347,414,817,535,032,221,294,058,
465,898,595,084,084,157,699,953,739,357,879,244,519,571,463,814,159,481,290,
539,100,527,697,073,304,182,608,101,922,791,759,970,484,042,511,522,501,594,
294,477,660,229,942,994,144,125,026,798,105,842,261,534,047,134,583,873,260,
750,321,626,110,073,481,390,101,594,230,136,751,843,804,281,433,865,146,936,
424,909,210,741,643,094,121,210,400,622,494,080,785,708,756,095,517,740,046,
662,479,933,685,242,016,635,728,500,537,906,712,269,820,387,828,065,012,896,
489,512,215,731,347,272,891,612,114,526,246,903,204,642,030,044,223,250,361,
168,400,082,150,089,344,302,367,694,786,173,445,496,955,670,139,728,185,554,
109,194,220,315,365,035,249,497,143,018,447,972,536,062,686,806,565,647,923,
123,518,453,588,524,271,514,649,340,992,256,939,371,679,408,905,197,657,501,
672,189,753,865,290,750,480,879,667,147,306,071,840,779,877,831,882,739,490,
610,156,294,803,228,539,528,276,131,645,642,877,499,567,167,181,743,186,080,
682,582,946,873,106,713,814,686,130,491,662,637,010,197,021,153,350,135,897,
067,702,714,049,979,293,273,400,554,187,751,290,259,720,847,074,026,161,041,
004,169,692,622,699,171,625,987,870,239,240,615,538,532,464,829,431,172,976,
360,204,137,088,469,895,566,710,805,905,249,018,252,314,684,561,131,036,780,
609,628,979,957,045,609,909,836,712,314,073,701,914,328,864,301,081,297,103,
088,663,218,073,661,356,133,361,883,314,848,870,977,954,096,838,622,218,268,
747,029,468,874,333,983,439,262,851,195,877,508,416,571,602,816,085,863,722,
625,305,689,171,688,973,499,489,982,290,511,786,437,836,951,659,710,891,157,
875,089,000,553,862,630,891,257,939,776,681,670,380,592,953,336,764,143,149,
737,247,689,617,911,803,939,198,797,895,095,002,910,486,478,148,270,757,705,
026,242,422,972,783,702,261,716,482,032,198,184,948,957,436,866,986,473,413,
466,827,775,911,783,733,209,358,257,322,986,848,293,175,938,649,744,426,157,
127,658,352,481,409,120,387,190,848,669,009,446,822,689,724,073,815,132,205,
668,081,477,275,864,193,133,953,464,279,218,248,048,895,900,647,644,532,975,
842,059,443,501,332,552,941,132,800,327,091,183,402,301,073,266,385,273,401,
870,059,601,395,960,384,640,483,200,131,460,297,442,642,898,978,021,136,990,
925,616,919,549,484,094,785,499,493,352,223,507,318,644,196,721,093,455,407,
468,445,202,685,820,396,616,753,198,751,388,909,180,553,197,520,244,498,740,
139,495,682,973,787,265,371,112,698,603,865,007,236,644,012,128,727,229,672,
612,275,730,613,088,886,845,277,120,798,123,067,517,124,770,407,965,052,856,
926,660,351,932,906,786,804,711,643,768,168,067,311,056,971,951,224,176,379,
539,016,351,228,704,578,736,917,031,328,591,929,561,446,971,605,223,873,010,
392,881,778,393,695,692,684,231,509,212,621,901,321,363,587,062,158,267,164,
294,921,474,836,196,027,114,585,578,226,052,700,875,997,324,408,038,864,460,
394,483,183,153,774,099,501,225,715,772,455,815,429,770,820,584,820,258,316,
852,222,957,282,900,967,277,280,341,450,794,279,011,746,943,472,926,483,185,
722,888,713,080,875,432,817,646,173,788,123,294,842,611,520,047,028,555,718,
185,516,814,957,018,672,646,287,425,674,679,083,162,290,860,357,428,029,042,
829,682,105,525,102,188,014,349,989,274,794,911,191,934,820,079,509,053,505,
205,901,972,086,261,611,709,880,449,175,124,199,884,783,567,017,679,019,746,
201,080,049,754,429,677,298,900,589,844,521,366,869,322,903,776,219,438,425,
078,163,687,329,643,767,873,423,087,753,504,286,420,001,992,601,038,170,703,
795,603,707,691,792,881,949,412,402,750,738,068,152,509,966,462,551,150,607,
080,010,811,687,966,884,671,658,767,075,321,002,787,542,806,518,214,253,485,
622,461,145,799,198,838,629,791,062,538,883,082,089,118,927,975,097,104,906,
754,844,935,791,339,560,005,985,150,123,634,704,703,989,077,885,474,580,614,
153,465,911,347,217,851,615,906,863,225,327,860,770,806,939,296,732,569,836,
850,312,682,054,539,249,062,517,804,604,337,070,693,653,809,505,704,676,517,
637,036,092,468,515,076,556,095,501,458,180,665,371,651,286,250,861,767,457,
862,075,196,687,814,631,434,047,346,375,125,047,751,009,352,836,124,100,889,
746,474,917,648,126,292,840,225,131,271,241,332,905,949,694,008,295,235,754,
414,284,719,386,968,598,117,790,946,249,023,309,704,174,771,597,509,303,064,
894,120,142,083,070,672,944,527,793,048,987,890,390,472,831,684,672,800,174,
721,971,418,485,976,724,141,477,772,451,575,369,871,954,365,832,401,971,699,
122,346,486,969,440,579,092,575,896,477,302,103,220,187,749,721,785,788,154,
792,449,224,692,302,660,890,549,869,243,688,983,051,163,707,866,941,035,278,
559,281,447,431,665,849,100,081,837,448,381,894,404,958,224,725,779,571,550,
020,557,495,274,896,830,852,655,835,265,856,838,823,689,072,978,421,236,512,
510,145,773,677,051,773,818,046,046,432,399,067,013,480,413,892,646,854,993,
365,787,828,098,811,479,444,691,027,041,873,137,432,164,167,705,194,838,380,
278,703,494,644,285,746,684,052,924,415,839,596,666,373,256,568,143,080,794,
674,995,369,288,638,744,985,717,283,705,622,547,241,890,845,060,980,225,151,
017,114,205,070,624,380,106,657,868,384,719,049,138,786,230,140,803,435,124,
104,123,358,318,307,136,594,628,248,638,056,180,960,713,823,296,162,996,530,
587,325,836,009,369,360,361,964,359,634,082,435,224,081,021,702,662,230,310,
332,946,715,537,107,062,855,211,594,787,061,992,472,409,549,941,749,968,560,
347,382,611,817,578,983,213,743,600,176,800,834,303,301,729,103,838,376,861,
223,283,445,711,331,612,353,160,355,022,829,614,321,261,447,360,664,383,605,
269,486,961,170,553,734,358,378,786,782,860,088,640,032,709,421,364,562,397,
454,420,049,775,363,519,322,672,702,342,737,897,204,078,538,827,123,432,396,
453,945,092,083,128,768,027,837,800,410,666,733,003,315,719,731,993,391,451,
309,870,476,258,171,274,700,057,137,836,266,113,189,779,946,170,803,966,508,
100,351,726,443,306,625,507,958,496,304,490,843,940,531,799,942,714,711,334,
769,272,986,487,327,065,002,171,686,049,819,305,107,352,986,915,895,119,261,
259,821,912,264,492,404,519,682,077,329,336,492,385,351,243,979,222,156,642,
821,425,540,587,540,428,765,319,696,457,813,298,951,356,554,647,789,938,234,
152,773,484,860,827,831,421,007,039,184,150,901,560,506,938,972,052,288,193,
194,233,831,740,488,280,765,523,702,325,645,892,286,037,743,321,680,132,038,
368,172,196,623,656,952,728,894,345,746,085,822,551,185,152,916,060,967,216,
637,659,584,538,736,932,692,452,910,535,086,896,119,461,037,377,326,276,708,
287,346,292,672,979,501,384,295,053,799,263,766,219,314,126,043,269,651,232,
111,130,954,541,521,317,520,570,850,124,983,036,272,080,351,828,020,783,470,
159,529,924,385,933,433,251,480,463,842,061,581,271,688,347,934,774,085,623,
606,958,789,812,812,556,336,678,069,977,671,654,020,296,053,086,895,734,238,
483,692,689,157,396,968,034,126,889,012,329,423,874,713,426,269,090,388,116,
459,898,909,265,566,864,569,755,623,840,417,617,973,447,087,583,454,100,503,
795,694,625,373,809,933,921,199,464,214,607,440,537,199,527,219,359,980,977,
344,943,123,625,318,802,795,864,547,551,066,430,496,524,538,366,298,291,261,
223,130,767,396,552,208,193,428,222,110,626,845,135,393,875,098,195,997,746,
992,750,360,555,556,975,997,089,286,824,832,705,404,484,468,375,571,204,396,
551,488,977,421,205,567,277,010,522,955,826,965,405,855,825,208,379,729,053,
065,460,710,314,516,746,799,102,249,487,454,550,890,583,099,513,654,776,037,
874,731,809,536,558,521,379,488,651,126,354,016,550,943,998,390,738,830,171,
803,943,935,133,048,130,038,648,001,888,862,474,253,921,474,088,126,531,874,
723,123,451,357,282,236,630,880,926,589,111,790,188,799,842,977,569,205,914,
987,235,930,277,401,984,020,785,743,588,343,176,331,200,829,691,034,529,170,
970,884,577,615,286,786,537,669,620,224,883,018,694,066,902,909,099,607,833,
557,621,067,986,643,981,473,225,315,558,113,247,282,566,771,050,538,664,652,
359,182,458,621,729,862,363,928,745,186,279,868,808,260,119,609,305,980,001,
495,092,563,562,524,207,833,591,796,074,711,487,752,217,302,605,763,038,846,
020,920,751,294,376,811,951,481,512,819,254,165,935,477,922,165,661,371,286,
950,765,346,257,628,745,037,230,522,920,338,822,374,186,267,508,672,497,888,
146,168,441,262,191,252,461,224,957,766,435,433,463,274,815,151,474,019,969,
505,185,537,312,585,365,265,761,811,141,098,307,661,496,808,995,219,770,459,
614,317,283,927,578,583,169,752,310,358,489,972,406,075,853,168,070,119,871,
615,744,803,828,964,197,728,596,965,300,797,714,404,389,034,317,953,604,750,
386,272,524,765,553,852,057,474,256,801,753,791,795,126,491,995,914,531,576,
046,056,857,845,754,768,471,077,330,694,294,702,239,029,828,647,965,139,743,
091,274,107,990,982,462,081,945,704,699,489,625,520,499,036,073,743,356,330,
123,956,265,977,815,699,354,013,139,519,386,001,640,825,616,186,193,241,370,
181,968,825,370,685,789,207,207,921,214,270,120,294,007,994,839,850,239,043,
259,077,177,712,137,438,510,582,115,230,543,538,819,364,069,437,294,838,781,
025,402,336,440,428,050,734,560,894,087,539,542,896,053,562,032,404,886,574,
811,042,952,806,891,353,521,267,525,133,799,083,279,031,369,158,138,785,053,
241,290,275,718,595,665,767,083,123,083,544,464,775,190,844,510,325,851,427,
312,639,540,587,967,842,435,053,409,670,017,743,999,064,019,666,708,392,565,
362,793,915,974,519,850,433,943,069,082,637,344,558,808,369,915,876,771,906,
946,766,732,341,505,241,768,619,418,070,806,853,720,125,434,687,819,122,929,
412,552,180,486,617,527,312,548,914,788,283,932,504,515,060,690,012,073,385,
551,135,476,087,543,741,749,152,641,988,377,259,300,452,291,090,203,859,831,
340,318,739,149,563,926,927,856,352,961,996,164,209,558,485,469,089,024,409,
709,808,415,181,854,040,651,809,369,340,699,202,978,850,545,613,545,089,679,
239,440,780,068,636,834,363,098,164,752,798,614,076,999,577,393,747,616,471,
838,698,359,773,739,294,944,122,533,425,761,077,099,958,525,769,462,188,366,
656,940,731,721,230,650,758,232,240,448,832,439,905,569,312,764,426,963,276,
987,548,000,648,442,580,120,185,024,487,010,168,605,226,138,428,504,430,230,
200,827,201,518,325,720,255,791,457,988,894,433,361,751,461,082,594,434,687,
780,341,117,205,648,675,831,231,433,490,976,710,018,801,902,808,464,652,819,
640,437,414,223,286,896,071,623,606,994,442,784,251,095,370,828,181,081,714,
579,765,028,999,701,819,086,145,318,430,578,153,129,915,517,575,675,551,487,
488,429,345,174,294,191,413,692,380,161,726,433,950,667,259,148,465,944,579,
266,138,660,485,562,424,519,096,668,233,197,748,535,668,013,560,047,439,606,
719,199,515,018,457,654,499,752,608,823,372,645,655,434,985,348,217,038,490,
616,708,535,727,295,671,525,647,132,354,901,188,315,006,159,926,395,476,192,
710,351,571,362,845,633,557,267,314,958,552,823,808,611,862,278,219,150,434,
182,532,132,191,446,881,765,052,282,903,717,230,489,764,581,431,806,168,388,
195,192,912,990,482,883,144,419,987,603,052,823,822,993,915,440,803,008,991,
641,024,604,383,984,184,897,484,693,790,872,845,618,803,323,192,887,556,519,
088,210,918,994,067,602,845,067,493,426,475,389,834,443,362,203,396,319,987,
867,940,721,542,052,270,855,118,287,972,646,221,261,987,328,641,595,089,229,
958,939,135,269,452,797,293,737,288,482,403,212,410,889,806,494,043,820,486,
185,333,010,884,288,011,298,809,547,858,496,981,740,912,013,535,024,728,508,
017,361,064,877,815,529,998,323,255,325,040,346,188,474,258,203,376,453,823,
967,339,390,789,593,980,762,867,649,396,673,547,716,966,874,252,946,250,379,
390,326,952,666,564,897,811,608,691,452,260,244,534,496,468,723,412,205,217,
912,183,220,149,001,327,235,015,753,736,059,059,326,554,494,276,977,469,154,
360,445,237,192,471,008,802,955,423,150,587,053,790,033,232,954,514,639,433,
400,370,203,342,093,014,254,440,198,643,188,382,560,667,209,207,880,905,126,
128,689,747,810,869,596,744,215,633,403,575,691,664,948,252,137,542,835,698,
044,865,737,493,413,912,404,729,546,016,904,835,554,868,718,474,022,677,656,
712,794,872,793,929,195,600,128,726,581,737,300,960,555,335,996,905,046,093,
431,668,461,390,843,854,151,426,738,660,802,578,274,644,378,658,005,577,332,
200,638,628,452,545,442,395,917,952,092,833,925,614,011,106,103,380,647,350,
872,437,705,518,549,290,358,761,573,316,734,215,186,362,190,951,418,310,128,
852,234,899,223,521,942,513,363,944,626,088,689,252,338,320,507,452,146,380,
343,244,035,431,213,800,067,678,060,983,850,486,266,463,159,091,392,566,672,
361,367,748,212,387,113,443,177,316,716,546,203,915,908,408,865,295,549,836,
701,779,360,069,088,701,247,540,559,432,574,098,937,226,859,625,773,060,069,
649,556,999,923,351,735,397,831,904,591,053,038,982,349,509,214,090,108,530,
738,082,539,735,000,410,982,290,880,173,741,790,121,471,167,465,593,325,520,
254,743,175,915,678,121,715,380,906,693,386,676,516,562,830,036,544,709,655,
232,026,618,693,822,895,868,119,492,012,975,250,453,725,713,357,714,781,096,
344,502,632,045,930,612,508,163,161,268,245,605,121,330,441,908,018,888,194,
883,786,204,585,213,958,204,380,546,069,586,679,569,741,019,179,336,117,783,
818,722,865,978,602,384,397,034,008,506,115,320,888,353,846,509,220,876,571,
114,467,542,634,996,370,412,460,141,885,602,462,469,765,161,294,491,603,291,
549,618,094,788,076,656,139,569,123,742,165,566,754,618,093,386,542,544,953,
178,262,267,208,613,531,076,220,834,417,228,620,284,523,062,523,835,440,878,
990,912,254,709,933,984,890,335,528,160,909,345,103,443,852,694,518,374,992,
256,238,800,924,901,530,045,141,735,595,371,712,521,795,734,770,503,858,359,
210,141,986,095,970,109,215,008,529,669,234,574,301,211,154,691,461,955,411,
916,923,080,576,312,952,112,053,238,503,068,411,687,989,071,432,207,411,544,
187,621,961,081,485,203,220,697,337,438,331,662,227,944,971,254,224,329,861,
592,492,685,362,549,550,995,789,557,770,161,577,018,224,375,178,359,819,579,
564,440,701,736,212,475,448,683,491,980,820,144,654,504,250,130,964,593,086,
224,855,274,427,392,123,785,760,933,583,540,434,543,850,625,217,973,985,236,
522,687,997,714,121,450,882,200,403,436,164,255,322,923,397,049,310,046,504,
546,719,867,627,191,399,574,098,573,712,048,690,289,082,680,228,576,295,736,
472,428,725,615,390,423,496,162,097,346,306,032,599,134,023,039,765,785,803,
674,323,930,523,761,417,859,323,630,646,428,614,241,549,247,258,335,692,758,
415,554,653,842,469,886,736,856,355,432,015,954,411,897,028,349,702,060,645,
048,436,625,683,027,140,737,483,067,999,622,237,054,657,435,700,738,370,523,
580,124,882,152,319,924,960,340,072,405,821,104,459,856,410,670,383,262,736,
914,119,794,540,272,277,591,794,007,731,436,750,306,335,431,673,907,253,239,
736,963,803,680,200,412,797,570,248,205,027,579,706,083,539,893,328,583,943,
967,219,645,310,753,651,255,018,171,535,254,601,646,119,751,554,506,772,607,
500,019,866,702,586,829,942,503,214,234,333,748,624,564,610,502,544,052,861,
144,990,575,192,848,543,398,132,323,689,889,453,011,979,684,683,624,620,872,
175,965,570,543,099,587,605,542,811,641,557,930,941,265,109,703,778,516,853,
966,091,577,322,750,642,701,521,778,469,594,480,000,786,674,536,711,840,266,
854,337,000,142,900,298,628,338,083,845,428,214,920,317,301,938,624,054,347,
072,187,167,322,957,781,792,704,983,103,841,907,714,274,556,847,209,706,195,
094,711,199,059,954,210,123,827,685,812,706,286,394,799,723,668,975,674,399,
081,692,449,338,280,555,737,766,661,668,591,145,288,876,724,582,050,713,323,
417,097,857,029,839,124,554,703,219,824,425,595,504,603,375,574,721,531,977,
933,981,516,277,078,242,363,138,449,128,636,713,156,012,495,571,167,549,672,
496,216,702,841,050,662,528,429,949,446,882,342,372,053,961,636,774,948,856,
537,994,035,047,249,286,807,570,627,958,552,002,964,084,565,141,023,111,865,
551,280,704,374,131,798,162,829,357,597,634,347,627,385,835,821,774,594,439,
370,925,957,840,142,112,885,100,536,444,587,839,007,558,793,004,597,896,756,
678,387,803,604,425,046,181,214,396,567,447,322,496,327,760,403,676,182,036,
664,710,547,871,799,655,344,684,732,932,126,341,590,830,538,728,027,606,802,
018,786,227,607,561,275,057,281,594,867,616,072,525,246,978,972,394,101,534,
397,027,654,890,358,384,292,989,365,577,989,730,921,831,763,122,712,735,714,
031,787,383,295,466,489,575,255,429,158,378,292,041,194,889,164,684,984,156,
967,128,456,173,864,234,017,466,921,251,795,173,947,866,371,333,169,598,193,
314,782,056,976,964,838,853,704,685,227,369,029,756,701,830,631,531,994,148,
592,878,795,477,062,393,464,352,884,890,332,792,010,072,567,547,810,159,588,
760,972,286,610,283,857,249,511,880,023,777,434,604,816,779,599,003,479,335,
417,475,269,298,116,504,395,289,826,758,123,664,624,850,143,061,622,065,329,
697,834,578,321,000,622,173,720,345,680,334,635,095,702,048,541,706,209,935,
216,515,772,603,900,671,700,192,179,395,648,686,010,632,525,379,980,429,846,
074,595,075,663,199,366,988,780,510,835,737,400,080,221,582,140,239,897,869,
526,454,499,210,323,677,738,547,867,209,162,305,483,216,355,486,054,394,181,
409,232,110,878,904,922,398,222,593,850,411,470,303,331,339,999,806,907,409,
451,469,529,975,068,798,086,862,708,641,649,193,327,308,594,510,087,071,144,
936,071,811,120,111,289,778,692,155,664,774,614,913,665,926,992,946,558,069,
331,756,342,349,235,856,118,292,446,772,099,545,716,124,811,314,957,445,185,
939,559,876,135,755,752,044,779,284,074,965,462,876,363,603,818,557,347,262,
737,121,168,191,727,936,269,907,023,111,652,363,101,059,951,899,180,927,214,
590,761,822,071,571,343,921,811,038,986,832,610,648,020,734,606,842,387,969,
760,413,888,755,773,428,040,990,104,168,089,711,733,547,447,882,536,501,657,
401,145,161,221,003,672,490,254,199,482,092,436,760,544,468,830,242,623,216,
501,621,781,417,332,908,831,986,011,089,035,427,332,322,205,734,704,424,226,
652,667,894,417,512,964,101,580,277,903,198,863,585,254,876,981,651,864,762,
261,677,915,470,188,395,012,830,790,802,704,355,685,485,573,691,215,443,975,
869,296,218,089,441,408,901,588,565,793,328,216,030,793,561,723,937,707,516,
707,991,113,181,701,040,994,967,970,596,421,269,354,803,803,870,067,240,392,
991,757,671,536,384,690,045,645,757,445,302,445,606,735,745,602,779,652,106,
983,945,010,354,887,952,281,975,327,080,518,343,219,326,220,032,183,213,696,
356,138,702,757,455,262,414,937,583,538,498,010,354,041,584,181,590,978,474,
019,931,173,643,487,903,368,122,671,835,490,646,552,051,829,992,510,412,179,
763,973,232,494,958,012,545,813,395,215,564,558,850,967,687,988,502,707,958,
983,228,995,060,982,152,423,079,734,983,743,278,187,701,056,817,994,129,315,
468,797,051,329,142,096,002,131,510,823,451,329,912,571,122,419,554,747,762,
789,830,340,766,322,369,560,461,678,202,753,216,979,465,152,607,182,800,518,
396,658,829,764,730,143,000,630,045,088,869,021,758,833,248,921,330,318,009,
179,777,662,055,243,671,021,042,277,468,722,693,744,273,192,793,781,005,540,
326,492,705,699,433,197,890,607,794,872,784,883,495,030,799,954,630,943,842,
648,055,130,512,253,919,390,969,076,693,850,730,885,008,547,845,185,510,499,
734,937,458,615,973,907,408,170,205,741,299,206,723,030,769,362,418,480,232,
917,225,676,538,773,018,430,785,729,269,658,744,796,528,445,154,224,125,846,
266,529,810,000,813,070,050,497,986,402,041,990,839,751,889,239,943,783,174,
507,529,726,885,570,708,620,655,083,468,363,905,347,905,703,294,451,606,356,
402,270,862,328,963,664,051,858,898,967,913,702,598,184,386,703,598,017,538,
836,628,269,437,754,036,483,780,760,432,059,761,175,855,280,543,940,907,822,
333,271,243,807,956,203,986,698,036,314,967,353,264,829,965,847,606,494,556,
002,826,197,513,184,212,970,945,547,275,183,353,762,340,642,156,644,084,058,
720,183,770,419,958,710,984,392,180,349,597,442,778,962,706,859,441,340,838,
385,033,383,872,363,566,110,405,332,498,752,515,945,578,535,751,630,791,745,
631,131,310,290,936,349,836,308,556,569,638,556,416,630,163,246,774,248,942,
519,600,374,773,550,937,625,815,271,502,766,182,078,176,812,215,651,863,665,
743,165,785,287,604,420,785,498,066,462,852,219,647,443,664,759,382,261,039,
551,626,057,920,156,372,954,559,380,479,792,671,367,600,894,745,293,489,632,
231,400,264,699,689,009,201,880,460,877,661,260,205,298,947,872,794,709,140,
668,518,612,583,038,628,449,606,899,312,025,384,534,943,621,507,331,571,827,
593,434,984,524,310,217,124,132,395,530,732,791,288,085,630,610,177,356,069,
641,949,098,622,861,351,101,985,684,100,699,220,880,726,340,131,287,472,075,
695,354,178,729,788,465,703,617,121,995,041,244,683,139,312,047,603,777,692,
095,320,155,808,201,024,116,244,594,102,315,539,045,588,712,327,567,169,133,
274,099,571,652,089,039,828,093,528,435,109,000,710,781,236,333,085,592,202,
485,230,087,455,633,732,982,098,806,823,329,054,209,958,545,539,876,527,424,
980,610,089,529,078,667,293,367,481,287,948,876,828,587,853,981,877,307,850,
310,850,330,380,317,167,257,565,527,165,359,920,818,631,202,028,209,932,793,
735,222,490,357,167,199,109,847,165,925,472,040,410,406,603,398,420,189,938,
386,839,308,430,760,149,436,085,123,504,601,016,288,817,437,552,589,928,217,
178,679,036,816,000,077,055,987,499,398,424,877,452,481,595,302,996,796,460,
609,799,006,590,808,519,915,816,980,734,081,203,241,116,206,385,081,287,175,
304,482,113,864,140,591,523,527,108,990,004,412,472,591,192,675,109,573,389,
569,287,128,736,199,818,063,722,819,780,100,799,011,986,854,396,447,717,274,
427,009,591,442,418,837,718,982,285,504,225,292,581,635,871,653,804,318,478,
539,474,606,849,375,883,561,510,493,298,631,134,563,094,807,811,120,287,699,
489,719,949,244,614,723,122,134,048,059,235,441,344,929,799,191,409,776,570,
653,277,447,778,229,788,713,865,165,991,372,009,914,108,325,478,299,876,588,
411,100,971,290,430,939,006,589,904,858,044,498,189,541,531,519,254,342,242,
419,463,383,496,673,628,150,002,468,759,882,288,339,682,279,318,313,068,937,
169,931,639,866,380,311,326,844,705,773,426,842,706,513,351,475,839,489,114,
622,736,521,128,646,959,140,165,129,578,540,526,068,831,575,264,432,926,710,
452,143,580,812,048,775,948,958,808,512,614,207,808,976,748,383,375,380,067,
811,371,825,390,067,940,504,015,763,030,213,356,167,372,919,971,440,282,991,
665,619,158,331,183,485,483,051,947,797,167,979,017,429,068,066,225,542,320,
586,343,022,005,187,009,614,542,575,280,859,244,537,299,690,708,081,166,064,
806,859,385,358,501,411,859,346,090,982,266,994,507,436,149,353,083,546,743,
944,965,927,113,133,838,302,710,430,581,663,466,188,989,566,275,598,922,027,
267,711,167,356,889,650,628,835,134,666,255,701,087,015,253,567,372,080,432,
203,128,645,475,661,176,006,357,423,938,210,964,691,726,206,239,526,362,143,
239,484,555,086,741,069,008,936,252,948,842,107,536,462,445,311,113,397,223,
632,211,463,381,274,856,988,753,232,177,557,897,712,356,881,507,692,041,384,
779,862,378,096,319,675,873,121,323,755,204,443,013,150,852,429,375,345,961,
759,495,591,305,804,712,283,102,410,123,433,956,224,084,869,546,501,270,091,
756,995,136,550,468,136,084,140,042,939,351,784,191,758,899,718,267,818,672,
074,726,546,328,731,821,074,626,874,041,642,640,874,552,204,203,512,894,903,
057,259,261,888,700,364,032,003,313,675,485,200,106,901,579,460,817,053,264,
404,410,493,840,069,628,912,076,277,740,828,077,928,675,200,161,834,784,652,
418,478,559,492,243,541,878,190,964,016,874,170,421,673,035,404,740,804,442,
648,386,248,026,816,368,144,033,959,341,504,800,676,949,381,081,454,913,630,
816,311,675,059,823,849,093,484,213,502,191,784,352,034,974,372,211,488,855,
099,090,855,839,137,485,870,100,198,271,703,931,106,587,856,987,516,027,807,
844,160,017,821,001,575,074,205,688,439,611,361,969,539,777,328,722,816,636,
909,462,088,998,908,900,187,552,292,705,526,855,904,202,277,578,386,225,415,
142,272,684,680,098,103,649,446,259,144,025,400,098,158,493,589,183,328,480,
575,928,899,833,038,950,308,168,706,017,090,875,497,752,626,597,605,555,114,
315,377,290,696,416,481,712,502,955,803,570,324,543,902,891,600,801,153,173,
888,941,569,486,014,226,456,476,320,053,864,674,054,106,960,272,924,037,536,
719,286,665,999,415,986,777,846,002,186,326,854,305,103,185,508,475,268,276,
013,431,780,017,767,790,515,830,995,850,515,275,372,057,460,135,303,270,075,
442,754,898,580,397,315,365,651,511,964,975,652,876,556,437,164,547,254,137,
220,565,015,109,442,409,110,312,256,417,566,483,849,112,536,925,311,119,291,
843,640,350,696,767,735,719,990,430,756,496,670,813,289,539,297,304,844,803,
385,555,075,985,125,183,277,501,713,983,282,578,054,863,747,986,271,838,433,
865,449,610,540,202,097,696,127,599,564,433,955,740,264,237,245,501,782,678,
233,487,220,386,911,286,677,948,883,255,886,546,188,756,281,788,915,423,590,
928,508,129,347,061,915,624,179,840,332,743,862,038,798,086,859,278,162,908,
032,272,053,315,244,309,031,667,619,047,555,472,784,844,019,225,942,018,840,
025,135,348,460,854,482,752,519,487,219,070,390,702,220,236,404,931,245,925,
554,010,563,225,855,700,545,928,999,216,014,948,682,441,475,258,594,735,873,
518,086,676,663,062,479,742,872,936,409,045,316,515,006,443,089,558,702,325,
429,976,122,388,501,102,890,350,399,304,732,991,410,380,083,389,221,139,250,
080,291,719,162,657,636,604,509,483,827,494,234,786,392,124,210,500,047,967,
510,113,764,118,635,715,918,432,673,979,075,957,258,764,195,401,274,124,791,
482,961,174,996,552,282,091,729,506,932,344,520,702,731,461,041,701,764,256,
925,440,444,736,748,526,456,815,613,504,001,105,711,423,624,419,938,829,684,
467,595,134,116,074,982,498,918,547,014,527,551,178,832,943,622,930,366,953,
839,985,847,698,946,786,424,155,559,042,568,950,663,164,601,524,515,150,136,
248,434,596,567,106,339,276,905,546,160,567,860,520,823,668,788,748,585,930,
226,137,494,484,514,388,140,332,566,214,292,177,585,137,516,367,898,409,767,
783,532,488,849,844,879,523,201,183,313,778,108,100,393,258,687,031,075,482,
886,675,055,949,729,092,802,871,378,361,789,176,725,389,815,136,071,800,444,
962,239,409,360,048,301,652,264,554,911,742,342,270,859,422,767,622,481,376,
014,022,297,474,786,532,009,559,442,208,853,271,799,354,204,060,165,062,110,
607,720,938,206,683,542,359,707,618,214,873,813,973,461,244,728,168,184,879,
269,790,280,205,688,212,777,922,247,546,824,907,425,718,929,521,194,219,897,
447,873,207,299,016,733,466,778,713,971,860,262,502,385,595,913,003,507,199,
316,722,001,608,954,686,997,597,904,455,948,758,209,851,072,945,619,246,501,
865,357,801,887,201,467,404,718,766,937,933,001,174,491,340,027,676,346,454,
758,804,957,401,724,410,767,247,571,788,681,340,861,639,948,868,032,339,033,
565,779,592,843,813,632,056,731,939,438,400,139,788,720,404,390,284,251,536,
655,407,534,436,364,750,795,275,703,992,958,954,771,073,418,847,832,565,105,
336,449,052,117,265,475,903,218,239,236,749,288,926,818,042,752,942,493,029,
578,648,346,072,539,260,166,360,188,037,485,478,827,314,350,548,238,710,765,
952,871,000,931,574,715,470,827,529,167,722,055,366,023,599,523,378,086,638,
059,157,946,393,318,540,622,144,412,289,849,130,524,434,577,975,029,670,380,
998,439,144,815,918,527,756,160,767,974,373,259,873,753,594,362,235,287,746,
146,977,567,350,730,249,568,320,865,773,341,396,195,400,840,337,236,159,887,
222,076,249,981,209,894,365,061,396,620,338,361,499,182,375,751,693,580,053,
648,996,254,002,487,286,259,168,511,096,725,380,798,858,159,522,105,520,506,
716,602,273,918,437,637,899,110,108,427,792,290,972,665,247,302,481,621,230,
067,125,006,888,494,339,301,612,631,285,708,540,069,336,304,952,256,646,631,
596,897,736,896,542,035,644,205,555,498,242,725,943,245,087,180,932,786,335,
215,036,812,630,727,916,377,567,391,983,123,049,173,658,609,368,008,060,123,
826,624,952,163,919,774,776,928,746,611,182,163,026,597,207,585,622,778,149,
335,607,286,870,738,957,996,346,832,946,940,982,165,251,775,051,686,597,998,
913,702,816,862,579,634,066,486,589,792,428,679,501,701,754,095,963,017,332,
107,512,020,931,655,508,572,552,523,361,443,247,981,357,500,309,880,479,803,
621,244,483,273,315,017,844,968,045,918,572,588,723,420,071,684,125,088,075,
625,279,270,994,677,281,943,913,761,036,124,374,139,829,422,520,446,466,688,
849,652,662,843,143,899,191,406,386,017,530,425,804,349,549,456,577,406,214,
509,291,522,493,540,985,700,004,763,190,840,117,821,332,220,600,678,510,485,
283,703,948,159,468,243,829,485,887,522,956,951,586,891,641,413,403,367,350,
776,498,577,470,886,663,832,574,769,285,797,680,021,093,375,698,392,919,817,
422,168,422,315,023,706,566,927,434,674,926,514,609,366,289,834,788,794,281,
081,914,636,951,988,012,762,631,400,125,314,017,398,016,851,533,352,061,243,
665,432,721,264,521,690,572,576,122,475,002,141,434,249,553,037,250,008,132,
077,145,859,300,971,865,181,287,292,853,342,430,673,677,365,596,634,441,604,
209,852,629,359,938,009,349,979,243,417,022,037,535,689,195,014,579,522,241,
119,176,118,640,969,981,863,790,001,736,094,134,337,233,338,315,299,135,830,
949,787,369,747,480,457,864,997,289,449,964,352,635,311,493,501,917,958,771,
350,540,383,760,480,477,413,758,388,709,454,994,834,942,757,778,776,093,231,
481,155,784,785,313,843,791,686,678,052,765,506,962,606,830,278,471,375,690,
132,875,506,761,852,706,982,166,758,528,075,554,996,965,870,078,542,527,229,
725,236,097,419,150,756,218,833,696,765,017,015,477,275,378,604,349,678,047,
685,437,524,601,507,737,537,764,236,159,599,529,156,604,777,382,941,747,950,
211,906,913,850,038,818,203,463,369,655,077,718,648,369,628,705,861,661,493,
561,204,034,778,446,502,732,248,250,999,625,114,182,560,621,310,889,390,924,
558,819,462,163,237,013,110,695,098,403,346,020,259,469,757,257,484,929,872,
763,056,335,194,893,990,704,929,837,623,899,894,787,265,080,030,922,382,514,
342,960,065,687,675,829,368,828,430,657,963,555,183,204,300,295,322,426,845,
609,492,750,900,913,632,661,105,657,054,812,321,113,896,735,187,717,386,324,
723,273,069,719,453,987,417,483,171,077,570,930,943,561,649,684,516,841,498,
613,018,160,232,722,638,967,269,008,081,357,773,802,450,904,049,284,624,155,
483,047,855,820,737,174,637,040,569,178,206,524,230,755,068,660,530,884,288,
328,469,529,724,575,805,406,574,574,129,356,037,311,441,414,605,854,453,713,
382,850,522,578,957,712,664,643,382,653,290,525,082,526,475,236,726,001,098,
374,549,105,427,464,287,330,703,198,479,470,534,687,698,260,295,287,887,472,
806,356,424,471,306,087,258,931,986,043,063,922,986,040,067,191,329,991,159,
073,075,103,903,014,455,551,520,263,514,917,355,401,298,187,276,034,892,129,
736,353,402,063,439,556,499,753,433,849,867,933,247,628,538,823,368,908,522,
030,257,258,073,198,368,430,341,760,345,301,886,954,083,345,576,302,782,893,
896,800,482,128,570,092,934,182,093,284,993,400,939,912,129,555,350,674,429,
205,210,066,762,881,067,386,518,454,435,958,748,316,470,022,245,002,186,567,
089,775,719,196,497,352,362,447,169,918,217,822,993,020,925,255,748,685,031,
186,383,883,551,537,012,769,575,858,277,650,080,955,475,492,409,931,582,652,
675,819,437,081,380,791,194,031,797,452,981,023,216,163,101,375,028,114,776,
901,798,328,204,275,004,983,855,039,865,325,128,812,254,925,075,069,935,210,
167,470,046,237,052,335,484,225,956,197,408,160,145,923,734,226,355,580,776,
174,952,119,006,100,897,417,440,992,396,776,278,707,476,443,555,551,326,362,
951,494,053,514,661,308,770,850,653,071,797,279,061,157,489,094,907,088,895,
834,610,394,043,153,037,849,921,087,195,316,803,083,307,976,414,572,118,513,
423,233,003,292,333,197,762,604,691,382,429,960,187,671,491,040,561,394,529,
371,728,261,739,892,246,055,129,194,814,299,010,614,367,621,468,211,658,261,
862,810,442,409,212,471,238,125,154,620,133,796,020,172,808,460,281,058,824,
492,933,489,716,667,145,777,465,827,203,270,278,706,547,485,491,233,585,584,
664,450,080,911,650,526,533,512,169,987,518,498,089,001,002,104,418,503,288,
661,033,267,694,666,318,973,822,795,743,099,528,011,566,320,044,526,092,736,
633,987,062,210,363,784,508,766,564,866,471,608,356,101,576,951,230,043,336,
687,947,171,633,037,780,302,618,507,438,059,250,988,002,859,116,036,816,889,
917,837,402,300,550,393,365,939,098,909,638,674,768,135,496,714,257,016,101,
540,675,024,887,954,600,662,610,273,569,506,463,758,790,372,126,624,519,633,
375,461,400,216,778,981,793,991,712,550,546,476,393,542,832,877,040,469,524,
788,642,662,451,994,678,053,257,244,522,698,266,810,054,560,277,165,354,132,
823,451,996,095,247,819,111,080,886,537,131,066,884,328,807,361,104,400,892,
584,740,007,466,474,205,916,300,046,687,237,730,536,801,044,872,728,603,596,
701,501,813,044,119,437,011,726,016,878,773,242,881,394,931,197,649,600,101,
560,843,873,893,441,103,421,512,531,102,613,055,217,018,269,678,202,244,502,
163,907,430,627,399,391,528,431,131,442,186,813,112,647,669,549,166,990,015,
219,651,730,660,746,608,494,711,752,940,652,699,112,381,177,786,838,891,934,
029,436,064,478,020,372,818,365,568,623,031,664,781,465,843,767,255,318,436,
123,298,254,768,980,377,087,362,744,582,441,822,037,019,635,864,173,992,945,
508,918,016,579,704,441,729,709,863,788,493,193,097,238,906,920,680,447,549,
397,655,468,202,204,043,741,857,649,209,831,887,693,855,959,659,348,868,247,
781,789,992,681,900,125,579,585,841,050,497,740,326,053,017,311,841,781,474,
089,554,274,597,524,640,446,615,695,436,453,892,292,872,996,530,618,852,571,
169,504,480,221,288,651,343,152,043,444,195,604,338,266,703,212,413,125,336,
547,422,441,107,293,499,956,665,533,921,085,803,886,205,159,640,646,820,747,
749,553,614,309,103,422,357,571,153,560,013,271,842,821,740,218,412,711,834,
229,045,107,298,152,594,034,282,119,190,701,853,034,354,829,759,479,642,757,
341,061,409,086,016,368,398,862,409,262,261,059,757,503,930,010,859,297,022,
291,561,178,986,195,058,836,503,598,731,815,758,984,085,586,766,447,529,098,
868,977,164,066,466,066,798,766,574,983,466,165,433,644,708,144,764,644,498,
538,216,885,075,694,899,363,647,367,775,992,316,204,645,024,458,430,290,017,
425,004,471,187,365,505,321,322,210,665,520,105,938,841,604,361,096,344,671,
304,009,422,283,869,143,231,683,349,322,193,624,882,947,844,009,801,475,164,
366,771,136,507,811,786,668,849,557,351,050,582,235,851,075,926,481,252,728,
731,707,103,515,332,922,036,589,766,086,499,013,375,329,178,133,761,359,738,
583,372,235,195,930,895,675,197,229,842,337,017,615,600,306,344,262,812,788,
733,180,463,157,878,616,122,770,236,673,364,486,236,973,367,728,423,932,299,
471,791,051,112,181,533,308,968,992,412,029,676,698,535,562,681,956,065,593,
314,296,449,972,861,827,476,211,339,342,682,843,498,043,301,482,449,068,019,
903,571,563,245,256,937,075,016,871,282,900,519,326,003,598,361,406,529,802,
209,526,591,797,799,531,978,453,383,683,167,565,876,402,664,043,021,950,579,
142,191,163,563,398,661,290,127,180,389,488,352,960,382,000,382,710,266,764,
384,352,509,254,091,914,633,422,194,934,518,912,956,954,799,255,819,983,295,
258,948,241,956,532,184,487,374,825,739,073,310,997,295,224,289,906,368,550,
195,014,778,616,829,283,653,241,171,113,296,505,098,265,629,676,346,247,559,
354,378,014,553,732,059,157,173,097,388,485,079,870,082,947,679,217,749,825,
076,470,562,718,265,670,439,043,872,152,663,587,110,526,913,143,256,564,853,
291,650,177,734,135,332,359,307,489,498,351,457,209,044,141,685,093,419,541,
167,933,271,033,690,203,300,495,794,701,712,836,830,670,205,763,378,999,825,
310,442,190,602,168,917,527,756,631,492,597,978,933,459,328,916,654,906,772,
825,658,708,139,710,788,678,927,896,531,065,894,379,894,300,877,069,061,824,
154,535,105,616,148,816,343,126,653,105,284,396,614,855,787,567,451,369,418,
424,932,450,574,950,936,613,740,822,099,078,703,617,755,981,178,594,029,535,
964,954,618,177,206,937,077,554,853,102,821,199,951,504,587,558,516,461,933,
337,046,347,995,395,913,856,806,904,373,985,930,138,642,421,746,770,581,398,
417,083,860,185,763,733,566,007,521,234,087,132,609,001,725,092,001,108,152,
462,355,714,422,463,747,284,224,770,918,149,833,394,197,533,168,788,012,508,
277,916,516,511,770,411,349,037,166,435,014,622,873,732,139,303,009,130,739,
649,771,437,246,498,214,838,535,222,691,039,284,683,824,904,623,886,801,967,
013,701,886,259,864,632,049,207,483,889,374,104,099,169,560,955,108,531,678,
574,200,944,638,721,293,140,088,933,369,179,265,700,103,379,586,699,571,422,
729,999,672,654,055,432,949,382,125,833,687,102,545,134,130,477,178,830,582,
649,610,585,123,815,135,958,075,185,208,224,101,073,699,694,760,262,672,924,
394,111,318,602,690,424,348,944,605,293,111,027,961,096,873,624,336,029,314,
429,716,807,468,133,224,560,818,457,423,564,371,994,625,792,435,919,611,131,
379,026,460,429,561,817,263,356,463,514,445,106,728,265,535,320,095,951,883,
464,800,025,847,277,848,673,538,480,894,492,934,245,713,513,757,265,065,377,
612,757,431,470,334,268,066,378,794,088,655,311,489,681,154,940,017,892,288,
040,831,504,210,934,229,796,727,154,541,985,069,076,281,464,357,870,980,156,
059,920,368,691,977,368,287,399,342,352,576,373,092,065,453,831,394,010,318,
084,417,286,971,879,122,228,377,982,450,461,314,283,550,228,930,391,091,520,
437,326,285,397,527,141,402,872,657,071,004,649,186,790,086,486,178,207,379,
886,693,883,774,403,356,828,666,649,597,901,173,405,547,652,698,551,444,942,
390,843,003,254,074,737,224,977,387,273,282,254,962,821,907,515,537,271,612,
958,310,586,300,805,088,872,217,829,480,639,149,563,185,877,620,229,644,689,
199,841,330,253,315,345,635,339,759,574,264,725,256,860,106,528,225,818,280,
116,540,640,268,681,471,185,697,367,393,392,822,122,953,876,936,968,702,807,
147,442,862,143,496,972,733,680,124,166,049,818,402,959,601,197,540,807,694,
484,201,863,227,590,070,138,913,194,858,099,577,139,088,236,356,971,970,377,
798,433,301,115,698,130,204,394,075,841,382,019,513,896,307,110,129,525,219,
017,633,083,159,745,268,960,449,838,333,411,513,099,184,573,488,768,491,673,
794,423,664,136,813,764,391,006,608,959,372,226,181,084,240,290,020,872,684,
654,373,996,897,953,536,582,518,356,183,696,335,884,272,167,382,471,247,548,
668,177,029,870,559,801,341,754,610,148,523,681,629,966,073,407,503,541,203,
618,825,153,135,259,163,837,987,581,162,933,613,524,999,555,962,875,580,772,
299,967,085,417,678,426,234,103,673,119,909,057,237,309,339,936,240,754,602,
655,284,811,348,770,481,244,098,732,763,583,035,260,424,313,743,953,140,203,
314,060,446,245,590,928,904,773,914,366,100,017,311,426,375,403,340,861,178,
524,683,282,053,424,810,255,720,619,365,098,539,672,975,237,045,724,247,348,
047,505,045,473,873,049,780,945,897,424,751,409,400,345,287,998,311,756,250,
841,788,894,303,982,331,891,570,793,353,495,130,202,442,117,194,291,446,145,
070,013,427,525,333,720,065,548,136,720,417,824,611,243,851,805,097,489,046,
795,834,926,629,684,547,976,782,558,289,708,751,432,476,172,982,319,503,299,
079,588,948,189,400,249,416,063,933,861,922,678,517,232,517,245,879,754,506,
316,334,508,219,776,209,234,358,424,590,768,040,507,717,697,176,570,206,290,
825,564,145,514,178,291,305,809,689,728,612,584,656,728,074,709,720,111,950,
670,933,549,104,486,680,868,039,686,638,485,212,140,535,333,206,953,211,748,
319,921,908,257,019,189,717,115,292,901,335,347,411,090,081,880,447,908,245,
658,231,276,743,847,935,460,839,911,851,883,531,367,917,205,236,299,494,717,
262,147,330,297,194,399,683,590,434,689,280,149,634,302,774,601,303,242,297,
009,961,481,319,042,994,701,127,217,935,438,723,316,470,282,762,229,244,230,
220,450,605,823,780,655,655,168,926,876,448,458,561,664,641,582,691,997,374,
585,058,452,342,141,196,162,928,939,749,647,840,041,145,846,153,033,333,114,
208,692,564,674,458,235,021,808,767,051,123,037,355,225,155,731,786,866,699,
870,151,872,040,468,661,183,150,061,679,729,201,986,288,791,234,996,474,222,
442,212,370,640,756,989,756,766,053,353,579,302,480,186,867,763,408,265,549,
982,376,892,199,602,364,416,887,302,134,039,324,150,019,882,915,176,801,322,
054,924,087,742,928,979,595,093,537,107,153,796,503,867,836,038,349,312,586,
220,740,397,570,518,011,468,788,311,732,021,517,229,792,363,617,772,367,927,
467,556,634,485,290,088,352,082,406,011,407,261,291,261,921,830,776,944,282,
101,290,407,032,911,544,254,015,533,220,524,326,630,668,517,040,165,281,603,
593,692,467,003,389,215,870,599,654,642,180,979,821,339,059,079,663,614,690,
265,614,791,484,121,310,083,047,841,754,916,341,956,807,900,189,902,717,224,
019,523,909,036,551,008,771,869,070,092,073,983,097,495,037,602,550,370,272,
058,447,874,912,710,989,616,040,139,024,831,858,916,382,485,752,006,920,208,
638,303,139,333,304,954,270,565,297,785,513,191,776,803,644,583,874,516,290,
775,680,088,250,147,144,556,049,817,472,498,971,924,608,985,914,851,525,457,
310,508,103,773,686,275,725,602,488,441,586,885,310,104,255,125,092,582,133,
258,675,932,598,649,551,421,658,057,842,647,424,935,026,859,754,156,364,352,
617,039,511,638,426,221,522,010,588,108,949,212,687,778,516,258,478,182,365,
446,584,243,940,576,055,481,107,224,974,590,988,917,919,853,272,537,009,753,
670,242,616,955,041,715,193,596,745,557,060,822,927,120,955,143,760,994,582,
315,826,258,870,999,313,022,123,775,864,152,154,205,126,133,788,472,017,514,
927,391,317,780,150,711,191,900,396,701,181,084,245,294,426,536,808,776,884,
208,214,841,072,400,999,767,218,967,550,894,186,151,171,403,331,429,917,796,
739,023,393,933,388,311,668,411,921,582,857,971,352,534,338,248,767,068,102,
676,545,081,587,807,981,077,535,647,250,379,769,028,669,892,038,998,336,546,
777,222,059,613,487,982,643,802,128,375,890,467,146,786,661,759,188,481,800,
256,634,302,264,015,421,057,547,397,567,775,975,416,189,116,690,044,592,376,
476,674,977,550,558,718,474,122,001,971,908,087,164,458,587,140,499,981,811,
841,892,524,721,889,293,866,982,247,185,264,679,875,429,145,612,372,111,189,
113,629,091,073,190,357,611,527,613,274,722,650,010,450,564,524,314,505,976,
659,337,472,558,857,439,995,976,499,175,198,343,590,046,285,219,010,553,948,
511,080,981,428,139,995,097,807,900,495,888,365,157,097,540,058,213,129,132,
602,527,681,960,997,351,678,108,819,069,261,837,244,006,557,832,172,771,491,
298,990,538,190,153,201,690,495,810,475,213,311,310,372,839,295,687,890,446,
350,870,841,383,408,921,019,517,682,899,344,593,886,013,140,817,726,513,789,
600,142,330,709,280,537,062,593,950,453,269,694,583,532,600,047,289,854,730,
559,238,290,700,722,628,050,687,658,832,506,076,762,196,958,095,110,595,676,
807,037,238,543,901,405,413,703,993,635,937,903,398,291,708,176,124,660,677,
092,616,057,145,184,170,395,966,984,460,099,600,266,512,834,771,510,852,246,
411,175,348,361,004,835,553,334,844,552,533,361,839,509,881,815,223,517,632,
716,157,868,129,571,953,413,675,601,645,031,439,712,036,914,122,651,335,273,
035,072,486,724,178,747,166,914,643,282,072,611,033,861,524,405,221,283,401,
696,721,130,916,613,854,447,535,824,267,219,033,245,347,469,351,912,811,587,
643,565,251,436,831,580,643,803,936,985,193,991,864,573,655,030,709,974,074,
730,934,002,485,768,295,407,858,741,182,434,480,392,613,942,500,470,573,544,
705,295,481,466,015,018,765,857,586,143,436,034,375,241,914,567,007,226,583,
359,991,771,907,966,365,989,925,567,548,119,978,545,352,313,950,983,364,220,
146,902,526,574,557,018,805,589,141,175,330,112,204,465,223,578,423,399,357,
109,113,870,328,117,592,757,713,113,346,784,237,792,648,804,995,422,732,643,
697,178,050,824,854,070,069,594,093,562,922,321,614,597,992,425,610,957,305,
789,156,105,810,078,037,036,224,293,705,059,545,092,371,112,659,164,513,693,
355,338,494,889,812,700,710,646,431,501,222,015,977,842,949,066,234,977,732,
366,140,667,637,768,667,540,499,192,675,427,083,505,038,131,431,577,185,523,
763,017,711,690,888,067,999,927,290,797,499,325,790,604,125,804,551,489,722,
085,640,959,845,114,058,807,684,512,295,822,530,346,934,456,645,357,721,010,
842,433,720,334,545,017,852,291,040,969,146,791,693,175,551,632,627,736,746,
627,459,580,012,597,965,717,219,074,754,573,034,601,796,293,807,715,138,765,
738,989,958,390,640,194,328,838,104,402,039,411,952,902,870,410,182,225,735,
063,478,875,479,700,073,355,231,545,396,853,903,232,331,539,852,957,761,860,
697,388,267,188,476,171,334,503,033,482,455,420,187,293,049,391,077,718,904,
196,524,446,850,424,531,948,589,515,186,630,144,759,082,993,945,040,196,922,
978,168,630,720,019,802,499,396,265,737,259,482,980,757,495,487,974,877,300,
124,782,380,681,483,867,015,947,516,263,731,404,290,265,563,774,345,526,570,
963,197,247,693,647,185,044,949,009,142,652,894,320,017,020,115,920,512,758,
988,386,690,999,766,623,092,932,469,398,499,622,578,078,217,725,145,909,768,
504,861,834,090,160,779,752,869,573,978,689,218,269,110,338,838,835,358,125,
966,803,879,475,083,648,712,104,972,283,142,941,920,388,393,374,628,118,465,
370,397,792,482,121,758,687,770,473,444,859,791,826,216,450,757,476,865,127,
664,319,223,388,469,875,137,085,876,456,456,742,032,417,043,880,968,087,286,
418,663,973,940,012,896,574,584,621,073,277,442,265,567,362,299,821,172,047,
258,805,062,965,209,362,724,623,785,139,329,494,270,982,959,349,703,214,408,
171,260,291,215,349,297,516,914,245,167,169,184,332,233,023,745,217,923,886,
923,726,468,454,246,621,751,954,855,527,508,537,269,192,174,070,253,367,852,
305,872,045,614,841,179,405,768,816,471,254,829,882,221,773,088,329,212,827,
310,824,166,487,060,474,345,750,546,588,348,847,461,724,020,644,318,365,625,
132,900,429,107,409,172,587,445,940,518,149,639,532,226,643,895,802,314,279,
683,761,758,611,861,773,962,326,206,927,235,115,189,791,138,131,635,775,753,
171,274,742,101,179,778,138,801,349,381,570,059,883,474,325,860,026,047,396,
547,669,242,014,263,399,899,144,204,182,283,006,423,382,909,729,870,391,988,
540,921,296,916,384,977,516,649,360,428,448,103,501,866,921,815,620,047,068,
907,634,203,075,443,177,564,491,634,445,550,423,821,796,701,446,085,848,405,
596,806,135,011,638,491,100,201,455,860,757,136,422,188,657,104,399,165,232,
098,129,896,954,559,949,486,058,090,742,860,242,414,649,648,668,596,223,847,
414,850,993,510,728,035,874,011,781,726,421,978,161,283,236,198,481,590,951,
582,390,678,976,558,511,995,323,738,225,223,953,487,235,504,208,207,901,604,
415,218,520,694,470,771,714,609,479,072,864,614,093,085,892,406,721,039,313,
481,040,543,100,571,550,992,550,963,274,055,697,323,273,881,271,788,181,588,
581,184,361,642,100,266,691,476,367,981,051,128,536,074,516,341,971,326,297,
631,303,683,005,943,533,279,775,066,078,924,584,536,825,592,743,832,083,638,
778,836,958,719,350,568,960,945,344,310,210,935,012,406,720,064,646,565,202,
606,362,891,174,012,925,343,855,465,310,306,582,323,429,986,333,677,978,079,
784,754,553,113,594,499,536,560,297,429,232,930,448,412,239,077,895,825,441,
475,192,909,761,451,669,920,569,827,713,354,138,672,045,655,883,693,836,535,
575,782,405,143,591,730,829,729,225,607,325,801,923,251,606,238,246,967,529,
019,872,703,327,202,929,225,563,483,243,073,023,586,644,188,995,776,149,309,
932,635,016,674,267,550,017,388,137,330,109,668,038,785,265,528,875,639,072,
655,172,575,781,105,975,343,705,603,920,831,004,544,640,678,843,827,756,923,
364,375,589,682,552,892,715,289,995,791,478,608,881,337,285,090,202,062,712,
894,030,457,585,397,864,271,070,814,585,247,466,588,102,574,541,929,015,631,
526,922,016,117,615,050,528,844,121,339,610,737,232,190,625,142,008,815,407,
496,449,371,180,377,879,377,485,688,370,428,329,467,909,230,451,573,814,603,
562,201,589,269,531,206,653,488,118,563,174,121,776,192,635,933,599,117,867,
264,597,733,854,735,593,221,798,995,966,394,652,096,853,806,531,755,424,997,
144,600,013,964,755,482,527,063,876,383,686,180,802,916,494,567,294,451,123,
701,587,753,765,095,737,549,968,190,393,323,401,524,430,266,778,147,603,929,
084,222,590,542,469,389,107,789,699,864,065,702,602,181,558,444,125,740,486,
620,267,698,594,124,919,958,159,320,124,193,311,302,287,657,246,966,281,216,
248,299,561,579,908,107,549,655,631,836,134,165,946,002,247,688,067,948,133,
800,631,733,605,894,536,823,936,210,178,106,573,844,494,703,815,872,652,528,
486,269,452,713,319,439,691,555,165,295,987,110,545,639,595,040,198,998,112,
621,377,061,158,865,444,608,620,169,095,839,571,805,438,162,032,028,271,364,
550,736,110,486,051,421,364,593,009,639,761,393,090,181,569,256,128,504,410,
119,534,421,097,414,948,775,236,106,505,025,528,730,463,313,466,127,800,605,
921,182,774,890,727,095,886,553,682,041,941,539,311,441,602,563,393,554,175,
165,473,010,856,793,428,875,776,221,372,532,535,204,337,910,435,733,611,781,
878,079,612,125,372,436,387,199,863,336,598,039,805,343,811,564,899,877,794,
769,560,523,937,925,144,559,928,722,394,014,414,963,005,220,761,238,019,095,
890,748,558,434,478,616,065,463,447,659,586,836,828,935,687,139,248,902,328,
717,691,527,776,591,334,815,159,260,539,907,420,592,454,716,071,198,367,235,
123,088,078,837,119,066,928,158,326,686,088,415,160,002,383,200,564,726,413,
222,014,521,102,613,173,067,514,595,590,920,124,949,590,642,649,634,256,028,
286,951,574,876,055,196,810,321,420,464,926,787,158,238,507,888,435,881,899,
542,580,901,121,544,959,426,371,597,164,505,915,497,142,220,242,327,452,784,
298,903,868,024,235,450,455,150,576,198,739,801,319,344,715,545,848,287,712,
866,046,819,689,392,840,816,104,260,063,078,301,430,287,710,146,882,755,301,
213,425,924,329,115,850,987,397,768,324,054,118,807,295,765,370,732,069,131,
869,313,059,992,975,374,637,129,165,921,820,061,480,091,712,179,720,869,611,
597,418,639,794,356,608,430,168,502,968,302,468,724,168,680,655,379,892,052,
278,594,898,287,952,777,022,414,249,104,155,890,944,366,763,204,385,461,418,
304,859,080,953,965,243,918,024,270,596,370,859,414,078,714,820,282,078,247,
644,867,984,260,820,052,733,621,023,479,149,673,188,476,566,777,809,288,330,
448,804,330,331,084,619,644,194,153,170,141,095,267,514,612,919,106,476,974,
436,726,114,825,314,500,006,424,502,371,234,136,388,729,423,641,067,323,274,
828,050,707,018,879,307,814,254,954,667,796,998,953,499,757,347,625,298,533,
742,777,443,486,376,010,995,908,861,800,176,578,541,583,298,429,328,147,678,
820,315,413,243,923,096,402,139,977,491,287,472,396,368,956,893,181,553,872,
487,211,054,896,700,483,536,119,960,790,797,551,237,242,790,426,433,164,069,
190,303,522,499,993,297,151,744,864,938,474,627,037,853,731,091,161,440,626,
926,855,886,665,695,314,171,151,927,368,535,100,519,994,948,399,348,121,752,
158,536,473,369,593,325,104,466,445,780,408,006,372,708,604,250,341,892,063,
191,922,925,860,786,476,789,958,189,516,195,545,132,705,631,276,690,780,547,
773,048,888,808,246,814,196,860,372,193,818,828,367,289,010,700,275,982,423,
265,451,494,895,985,876,756,138,564,402,128,388,151,893,102,707,391,475,123,
380,195,851,481,477,715,017,580,729,481,839,279,587,900,898,061,936,134,924,
211,329,850,437,711,886,480,117,987,116,011,498,072,904,610,447,613,746,608,
357,206,474,399,373,154,350,031,226,978,411,305,418,614,365,887,948,303,773,
367,214,487,263,762,974,249,930,987,807,633,370,686,231,108,133,315,580,809,
042,698,590,608,376,090,693,889,092,631,604,329,169,283,826,614,904,584,211,
027,663,774,101,387,335,151,697,200,150,856,390,219,031,023,583,455,695,535,
466,736,478,455,982,065,029,096,035,082,068,699,719,016,264,605,372,021,074,
138,955,424,136,709,195,759,708,758,463,317,220,418,653,591,626,458,381,863,
754,396,859,569,720,854,466,479,211,012,697,082,449,701,288,814,900,862,212,
308,717,608,397,068,192,187,054,157,050,133,117,968,752,919,628,886,070,957,
010,325,901,236,373,271,263,550,946,841,265,119,990,457,261,862,674,479,206,
430,817,322,816,782,262,322,477,527,627,558,338,745,527,619,306,189,793,238,
217,136,584,895,179,677,252,530,232,506,587,965,719,081,363,633,999,777,695,
183,766,212,415,828,861,801,579,718,755,171,332,324,602,334,655,238,911,528,
824,143,917,620,260,190,815,644,565,064,951,088,485,960,217,817,970,252,865,
500,223,010,101,410,962,267,843,697,266,225,791,828,823,765,457,289,529,774,
970,214,690,284,382,199,335,309,771,422,272,009,275,626,948,680,667,967,314,
795,534,058,024,714,696,835,980,738,125,567,731,622,890,839,464,452,647,271,
170,819,218,938,690,414,375,509,135,680,854,341,149,596,390,168,354,894,946,
731,621,088,558,404,790,143,089,838,706,644,499,284,980,712,315,071,622,073,
135,223,092,478,504,283,037,205,798,735,736,873,337,737,125,387,260,618,529,
886,468,927,173,309,817,506,638,059,539,371,393,887,364,671,622,836,837,373,
335,391,394,111,214,357,095,077,780,231,392,755,072,760,240,992,859,517,812,
552,773,097,730,527,884,344,606,418,892,333,293,871,707,791,632,932,867,994,
072,487,317,291,311,106,714,491,164,477,830,693,624,441,839,024,399,256,710,
640,117,547,083,277,205,495,750,965,239,414,765,337,334,718,313,693,584,510,
346,595,456,942,177,746,138,367,522,790,129,562,771,206,509,704,230,142,069,
719,913,119,924,608,472,557,053,763,106,451,873,343,802,886,693,161,035,277,
666,419,071,786,956,205,913,047,828,468,434,809,026,599,606,242,256,529,691,
772,201,642,105,691,623,871,942,230,247,958,684,440,521,466,374,328,611,358,
004,501,422,753,588,813,454,819,458,217,229,087,277,213,477,277,929,882,354,
583,180,169,934,707,414,728,762,585,354,613,746,900,284,132,317,735,075,372,
903,511,763,060,595,035,448,688,761,910,939,616,306,343,497,393,085,285,096,
681,202,242,074,261,364,665,495,757,537,397,318,726,728,213,295,601,549,931,
893,698,402,785,848,548,804,034,572,077,628,464,806,711,049,076,316,174,810,
921,637,750,700,309,657,166,422,697,492,532,713,462,181,014,471,683,305,126,
483,311,185,133,784,197,709,655,923,512,702,543,483,442,225,299,794,097,770,
998,053,349,851,162,768,706,919,271,489,770,860,244,308,284,511,329,435,584,
810,002,435,508,725,634,175,835,671,606,751,235,780,780,225,866,583,185,601,
953,339,265,258,694,395,853,064,384,227,184,972,403,618,478,323,526,396,960,
598,077,765,665,143,382,742,765,783,360,928,119,696,266,037,426,699,039,831,
891,830,160,918,648,528,541,002,082,843,180,215,212,965,797,562,946,279,132,
305,954,186,659,037,616,911,712,544,008,358,442,015,551,324,313,604,479,888,
622,998,037,129,217,990,339,075,490,699,572,481,747,463,026,298,605,501,509,
230,446,961,737,907,775,005,175,443,942,821,856,640,802,785,396,135,604,924,
723,464,125,619,775,910,971,248,335,496,235,857,130,907,385,623,505,857,520,
837,372,117,705,245,063,138,253,195,926,753,863,849,533,665,976,172,340,232,
256,419,330,654,610,790,572,784,126,038,817,341,035,709,279,184,210,424,201,
761,321,126,310,710,407,396,133,944,918,506,953,069,893,292,787,240,958,760,
670,034,108,256,096,519,684,659,874,920,182,125,008,058,576,972,925,608,132,
399,926,714,599,074,696,084,255,095,288,503,431,412,762,893,397,095,605,713,
148,563,010,301,830,037,761,921,754,009,890,243,916,609,708,046,709,171,145,
338,347,324,946,599,990,944,371,951,671,893,482,556,374,918,147,312,060,624,
329,088,197,024,514,011,150,766,843,380,629,153,335,707,083,119,879,839,935,
609,619,125,874,998,597,314,923,528,646,468,724,958,328,055,279,728,400,434,
061,519,732,331,075,753,960,329,937,402,482,459,197,270,211,286,035,816,135,
388,523,694,823,545,498,117,128,952,359,041,491,557,854,321,887,923,443,381,
882,588,375,322,225,270,794,467,350,639,897,272,736,506,079,670,707,230,205,
679,815,389,612,162,248,229,144,379,713,650,560,621,176,261,720,342,097,308,
776,217,712,123,007,986,206,831,528,411,505,897,798,204,705,094,777,407,983,
803,742,018,764,963,230,278,162,089,669,182,415,977,712,129,258,703,088,716,
222,966,956,589,868,826,348,784,624,706,616,248,347,303,665,810,931,757,895,
657,722,359,661,802,749,301,547,186,592,914,200,596,133,483,712,887,681,679,
452,641,935,791,603,070,729,605,217,218,671,028,274,821,898,544,480,691,502,
592,075,058,377,322,499,568,439,341,794,522,996,361,145,963,547,547,689,328,
386,342,498,315,683,605,910,996,361,523,408,490,234,626,762,863,380,571,366,
913,106,880,848,489,570,147,595,564,630,263,864,284,768,723,279,100,776,710,
283,677,976,896,254,163,676,222,332,858,083,738,214,803,498,936,665,023,856,
650,740,744,828,249,745,403,490,163,577,024,955,572,852,876,357,450,269,455,
416,612,023,340,594,856,746,014,782,583,946,362,166,973,850,472,167,259,292,
577,172,697,513,781,495,622,051,436,660,454,043,419,524,533,878,863,975,972,
468,961,349,115,066,786,735,419,665,988,899,580,914,746,553,968,713,919,550,
534,515,517,596,776,457,006,364,929,049,474,998,291,495,526,151,887,894,009,
552,629,067,889,498,521,537,493,817,995,020,947,341,795,100,218,283,917,653,
672,914,753,371,688,149,725,483,675,143,407,188,650,395,492,640,974,622,703,
953,820,264,243,379,519,178,256,045,200,979,505,199,286,400,084,333,166,235,
438,714,247,378,967,074,269,048,252,063,736,743,294,090,622,996,053,975,075,
493,168,955,283,561,136,664,901,597,633,090,625,487,155,800,376,476,990,810,
744,440,074,331,857,666,293,832,887,002,120,955,507,125,332,974,084,295,763,
950,321,425,381,752,405,217,700,556,295,002,828,966,788,542,766,230,757,981,
549,707,001,017,437,534,889,877,052,068,978,695,481,993,861,944,392,569,523,
407,324,217,900,166,089,929,398,758,044,181,566,912,488,982,608,052,644,258,
555,772,741,862,854,135,881,806,743,781,327,367,981,339,037,104,004,413,832,
844,110,069,002,848,825,937,484,773,564,171,675,064,803,724,833,752,471,164,
231,196,304,022,353,308,293,593,286,085,609,397,091,227,775,655,130,220,670,
118,708,237,560,352,330,865,170,684,936,883,642,642,668,217,391,455,211,229,
940,684,586,642,439,927,771,882,525,190,119,011,364,196,358,102,052,445,439,
935,018,188,341,639,909,913,931,432,944,731,080,400,190,406,994,001,761,594,
779,793,863,895,738,364,644,330,353,599,967,897,440,174,816,980,649,025,812,
867,315,694,880,223,440,005,425,626,048,680,414,618,289,270,637,150,407,886,
616,327,193,062,008,053,669,423,526,192,746,852,690,988,428,744,947,269,980,
200,617,237,301,490,150,911,660,045,746,078,882,319,246,774,349,323,465,754,
347,493,345,371,735,429,400,559,421,642,735,831,739,184,283,410,900,476,757,
467,782,485,275,327,390,466,290,767,298,064,698,078,405,766,298,969,682,905,
764,809,852,865,729,510,420,973,621,382,603,460,719,039,914,065,110,314,498,
118,529,631,332,016,486,239,485,837,139,090,007,083,446,580,472,378,624,115,
292,874,165,379,126,940,862,644,205,392,744,043,479,555,140,739,140,065,048,
340,398,507,954,151,599,212,633,157,242,759,429,582,874,616,203,925,049,856,
649,452,267,666,451,060,644,896,493,282,880,454,403,598,548,940,035,434,557,
704,076,330,935,658,716,047,790,104,556,143,378,104,519,030,894,144,872,738,
105,230,138,666,660,173,350,245,747,300,271,555,296,920,339,046,818,369,436,
317,468,266,832,284,144,980,809,609,522,532,804,552,409,166,881,485,440,243,
267,077,664,843,065,180,815,058,224,574,985,989,372,342,020,887,225,099,180,
990,088,975,963,351,043,946,325,162,613,532,811,371,773,008,371,042,367,208,
150,126,841,018,068,450,407,582,033,503,799,354,117,956,259,743,494,982,699,
555,544,578,247,879,856,291,559,232,016,816,825,710,532,626,786,209,401,665,
476,421,930,781,890,703,978,081,343,581,413,536,915,553,042,956,022,466,436,
614,562,593,090,552,931,182,753,299,506,237,758,379,494,650,572,082,432,518,
536,230,784,510,317,697,065,526,331,552,321,096,239,588,949,607,999,511,097,
359,751,185,687,560,683,720,667,195,083,941,239,183,959,739,179,340,159,595,
824,630,546,421,964,654,858,623,529,173,934,407,878,075,055,020,099,669,396,
022,641,468,294,640,753,398,171,954,534,826,230,508,106,731,275,007,620,643,
031,987,239,197,825,617,897,116,082,075,716,046,020,703,552,677,580,231,710,
767,459,254,845,023,699,606,581,182,023,668,868,187,808,024,014,965,808,312,
113,808,259,727,458,747,534,531,388,313,276,737,222,512,281,071,679,314,262,
871,565,757,723,687,706,488,402,590,894,794,281,100,482,026,907,164,511,880,
098,419,093,401,011,770,307,024,521,840,707,062,085,574,812,017,221,337,530,
222,474,395,451,737,405,298,300,964,370,295,864,952,074,903,915,072,471,708,
496,410,239,998,232,584,711,469,037,251,214,353,750,416,225,632,627,915,972,
871,427,681,709,799,520,050,448,299,623,214,489,186,827,241,083,366,962,259,
421,445,236,221,643,312,143,258,573,749,677,799,388,694,020,074,898,073,902,
777,076,169,824,550,047,749,423,107,347,707,459,163,861,090,523,403,474,697,
720,150,294,579,905,884,936,047,536,452,134,478,506,085,670,854,646,967,638,
706,699,052,303,693,177,294,761,708,623,199,875,127,325,693,849,256,986,613,
807,529,287,751,228,372,340,726,130,363,066,963,598,133,327,946,250,537,373,
695,542,935,999,098,121,020,585,083,643,659,263,720,540,696,933,543,196,630,
420,762,522,430,507,620,123,178,012,623,044,001,837,772,962,829,164,285,938,
597,451,927,751,398,566,793,516,460,383,536,722,776,969,301,801,194,010,572,
312,010,755,296,695,544,224,292,467,220,810,762,759,913,137,170,950,483,248,
666,612,302,827,854,517,460,015,483,149,371,571,433,767,199,543,827,148,324,
325,166,959,564,451,268,143,459,148,546,523,584,471,086,480,044,825,419,181,
455,547,781,587,878,141,112,748,236,294,148,239,551,376,822,193,789,106,323,
339,470,583,063,546,437,539,506,207,061,904,082,326,735,655,249,452,768,763,
765,724,404,494,382,027,641,322,788,478,840,832,419,826,526,518,545,969,871,
801,019,680,508,776,556,518,844,145,801,860,289,872,615,188,909,766,954,972,
031,119,795,759,942,734,403,633,325,919,007,909,003,255,419,799,431,182,165,
260,324,490,310,377,438,241,280,638,589,125,334,919,241,907,663,375,893,429,
924,908,674,803,561,392,613,034,760,613,700,222,938,832,579,449,069,394,523,
992,429,075,202,140,096,634,463,715,687,018,845,981,922,969,289,435,330,186,
955,015,140,905,389,039,203,378,325,926,793,591,636,995,954,764,752,629,810,
664,884,700,971,432,688,471,384,080,639,646,164,059,357,015,914,616,960,160,
864,527,251,604,609,238,889,215,039,963,978,428,664,597,983,226,272,955,408,
263,829,378,435,046,912,249,554,171,063,267,972,726,821,298,195,451,360,567,
406,680,958,657,985,019,629,786,024,236,494,793,033,786,004,799,543,329,862,
096,518,806,604,970,962,707,524,643,581,994,846,465,872,307,061,929,807,055,
075,544,921,348,964,184,761,203,080,408,484,828,244,655,430,840,825,945,661,
447,663,890,197,314,070,940,003,595,415,549,199,575,269,523,162,993,801,811,
427,361,408,219,100,297,759,019,814,067,673,681,094,287,893,501,225,602,688,
765,027,987,161,796,013,098,846,545,990,393,627,743,695,889,892,929,473,137,
540,230,685,585,170,800,792,933,566,479,910,088,158,821,087,493,781,465,964,
837,294,780,417,093,189,793,085,251,217,831,384,580,474,271,320,346,041,555,
797,483,957,650,498,720,157,374,907,409,810,007,172,947,023,069,969,276,191,
582,018,077,702,652,358,401,509,284,627,251,570,889,059,191,749,083,680,668,
768,764,721,622,896,849,775,355,934,931,000,982,703,631,005,470,056,967,729,
193,844,996,139,134,197,850,441,070,665,712,939,986,103,106,282,244,616,146,
994,813,215,573,614,372,456,625,367,536,248,546,358,793,587,358,117,546,701,
125,387,862,222,582,219,339,842,569,245,839,682,276,956,082,451,112,979,802,
925,507,720,512,511,249,818,516,496,931,916,097,764,686,836,578,417,083,512,
297,674,929,842,621,847,069,340,253,120,277,033,863,019,193,451,354,870,499,
193,851,648,564,999,276,092,101,004,920,097,736,771,743,711,031,969,837,004,
626,624,147,149,584,272,665,714,248,574,274,424,806,971,719,060,831,195,960,
426,381,100,667,166,750,642,130,271,320,166,343,527,300,599,959,534,558,350,
225,996,017,174,227,221,008,224,728,523,192,521,713,777,531,641,052,596,335,
220,082,527,645,534,206,726,531,868,812,616,656,658,298,569,624,363,898,008,
760,361,177,821,719,641,899,744,786,607,189,035,944,903,732,613,822,729,208,
579,298,326,744,577,032,730,207,154,828,169,090,512,245,245,127,265,850,567,
905,453,499,341,749,861,137,347,051,580,647,548,165,739,510,020,439,277,620,
531,411,637,459,967,161,546,289,353,047,916,149,759,861,011,206,690,434,403,
753,936,761,552,016,641,366,535,522,575,331,380,110,595,428,367,307,435,510,
472,558,967,479,913,117,136,029,253,327,014,154,313,872,878,042,527,185,022,
233,814,386,730,009,193,970,963,210,667,033,800,206,276,023,670,081,484,449,
299,928,993,486,251,434,206,110,287,437,545,122,181,460,729,854,116,093,137,
553,946,678,850,505,912,714,481,294,158,971,573,134,615,739,127,775,887,299,
111,451,664,380,108,805,856,432,502,690,375,200,004,236,436,104,106,254,118,
232,155,605,463,843,096,895,284,866,658,344,795,683,050,737,146,975,883,892,
275,477,493,306,087,972,207,788,428,190,854,053,539,299,367,356,710,656,508,
718,417,000,980,467,984,678,833,915,988,521,328,423,644,497,648,039,670,339,
710,955,838,866,400,501,614,865,542,249,865,516,442,043,634,716,435,394,787,
575,186,915,620,269,270,764,549,119,219,906,844,533,385,695,642,029,225,628,
718,276,231,455,303,767,901,902,032,611,800,565,105,214,041,303,686,146,147,
930,017,456,732,058,416,930,087,330,107,252,632,372,291,169,293,713,587,349,
309,534,837,171,037,755,571,886,068,384,037,172,929,152,640,788,340,556,646,
936,116,580,757,609,816,986,520,479,448,691,711,664,096,320,203,621,945,279,
414,457,275,202,736,705,653,722,856,523,076,364,698,014,273,106,198,951,292,
031,935,123,479,565,736,608,816,917,844,884,288,469,534,556,838,425,616,599,
356,945,976,939,086,526,057,287,689,694,392,241,592,338,844,928,494,186,337,
555,543,096,579,772,847,971,883,915,395,501,977,270,449,317,818,007,368,782,
698,229,106,839,548,100,626,037,807,001,520,820,128,258,106,215,771,377,361,
872,529,663,976,319,444,978,604,523,802,952,579,070,376,206,613,115,687,516,
760,535,542,413,208,758,864,117,612,772,751,886,343,743,144,387,402,008,678,
986,808,543,885,963,389,021,801,172,272,868,651,375,421,725,874,557,907,146,
973,258,686,017,974,699,025,995,028,954,499,064,053,679,776,174,747,088,662,
386,679,204,802,439,920,471,527,003,017,148,965,747,753,835,433,772,634,358,
595,381,896,336,035,980,972,438,870,319,462,772,548,932,184,879,535,643,226,
087,054,401,360,484,718,665,951,649,151,310,593,434,640,236,347,976,615,298,
478,948,659,062,687,104,697,042,382,319,180,661,643,564,232,841,579,086,223,
676,662,953,705,520,004,868,976,820,092,434,132,362,021,574,546,184,539,444,
123,781,469,667,757,052,791,781,856,471,251,042,274,438,143,958,857,946,510,
525,832,968,529,713,340,242,003,545,976,221,900,711,602,848,620,333,272,309,
245,361,523,638,724,836,387,625,697,480,152,964,380,709,091,692,397,190,907,
752,334,548,836,371,539,780,995,840,890,170,362,112,063,763,217,565,090,268,
127,554,687,949,586,528,724,283,331,401,925,741,497,808,816,764,122,363,062,
861,395,960,009,685,800,305,004,278,490,499,367,859,060,636,421,411,613,273,
810,028,881,969,550,206,060,972,896,182,293,087,923,618,290,610,466,111,580,
958,520,064,486,514,234,818,298,382,224,295,311,996,555,984,321,142,796,204,
741,205,374,246,014,203,086,608,032,316,808,595,399,862,337,069,204,074,824,
598,013,862,040,702,666,080,206,663,053,633,462,723,362,220,892,978,688,180,
492,417,326,993,581,884,161,458,238,287,373,919,325,089,115,523,211,899,555,
552,614,208,312,892,254,970,379,879,303,639,644,645,528,008,317,031,289,386,
471,124,954,706,213,688,460,375,257,206,615,049,320,595,376,239,751,818,258,
066,437,093,601,768,494,789,918,331,825,743,820,444,583,420,414,040,456,723,
220,762,743,297,433,705,199,251,988,526,205,816,762,399,035,866,955,512,857,
990,023,830,460,253,963,087,639,562,678,189,831,784,048,711,175,868,211,786,
309,304,739,116,699,712,731,613,935,867,426,636,150,295,983,499,496,219,921,
473,258,512,874,528,675,641,662,140,660,699,688,579,922,435,449,510,222,667,
913,134,822,707,617,695,675,368,532,596,376,749,968,648,428,500,500,696,848,
040,374,307,946,107,848,793,164,229,263,475,319,451,654,459,778,116,890,728,
092,142,161,427,093,079,587,776,834,156,712,293,302,753,371,338,227,874,572,
990,620,198,813,475,995,383,664,978,354,160,556,258,339,354,875,938,690,989,
477,795,791,161,146,412,359,728,220,461,688,585,701,147,313,975,864,482,469,
326,987,940,272,524,090,532,841,999,382,573,075,451,963,042,523,584,846,940,
043,111,773,438,632,070,497,551,125,549,387,347,672,271,679,475,706,210,121,
480,786,888,137,225,172,361,788,793,969,371,682,031,309,560,946,572,650,614,
979,954,627,812,627,044,308,603,410,370,534,911,384,568,860,242,664,815,858,
725,292,338,575,741,135,437,622,639,825,009,466,725,391,485,896,489,573,221,
151,108,259,456,794,135,352,200,050,694,992,334,234,482,858,827,145,875,425,
252,844,798,166,298,171,688,454,999,895,445,826,553,921,224,384,131,718,904,
416,599,673,337,185,735,488,347,108,112,614,463,323,629,360,455,931,674,532,
256,571,474,919,030,889,504,484,056,738,587,842,421,204,715,754,192,012,460,
511,094,465,663,802,296,794,386,431,133,112,867,311,131,792,889,937,356,467,
423,369,265,394,772,002,825,761,179,749,532,964,614,271,935,597,694,155,484,
811,159,488,169,944,494,610,962,411,175,204,141,565,630,351,171,255,577,420,
252,594,779,232,251,520,898,495,451,582,796,001,000,359,940,412,757,388,281,
328,638,027,670,839,120,664,514,528,764,209,655,732,819,493,946,754,905,646,
392,766,056,155,220,955,259,008,358,773,560,050,929,637,342,725,487,353,179,
207,763,332,214,208,815,646,767,611,420,375,135,941,059,734,638,792,128,664,
627,218,263,048,782,713,533,878,200,563,930,979,023,950,486,924,217,054,379,
289,568,194,073,410,592,355,233,855,497,074,368,910,869,168,383,187,671,575,
115,797,159,514,525,903,929,067,293,526,652,948,040,246,083,287,320,577,848,
194,325,038,774,561,990,671,203,353,657,522,217,092,130,087,535,627,530,082,
276,292,966,885,240,951,545,328,959,186,542,977,585,922,089,236,702,655,760,
210,116,456,836,329,454,080,675,871,693,175,334,264,764,318,818,883,106,364,
282,011,592,660,140,395,322,225,642,502,759,647,220,707,789,435,521,979,203,
806,472,150,969,845,446,037,014,864,081,016,631,478,428,195,250,836,324,515,
544,200,537,463,422,781,258,444,849,224,921,975,277,078,348,509,264,986,501,
260,973,690,114,152,105,569,470,572,154,016,220,241,972,644,047,044,542,388,
579,390,887,589,125,051,685,404,330,310,456,846,803,288,552,538,919,990,177,
722,471,072,519,224,467,275,409,216,869,167,850,046,009,946,965,633,369,557,
290,097,268,385,599,651,113,215,429,615,466,042,339,072,625,998,871,829,366,
779,457,206,730,730,647,684,595,353,048,721,211,021,813,639,334,787,386,376,
915,285,103,042,803,842,242,193,546,854,970,363,574,850,416,681,983,363,665,
628,989,184,200,446,500,656,096,729,177,394,295,825,589,003,496,192,712,728,
285,393,046,796,259,911,022,184,465,372,297,642,232,311,977,144,645,209,753,
568,885,282,017,294,056,655,194,635,872,765,000,046,024,415,342,392,550,610,
262,271,077,495,641,301,370,427,977,136,746,373,858,073,194,807,231,811,401,
220,980,097,694,135,125,320,467,759,726,387,975,771,878,404,428,459,576,462,
958,634,013,410,876,737,362,125,540,527,377,144,133,513,438,713,742,748,977,
958,328,201,686,141,077,883,775,129,728,123,232,664,459,076,741,597,691,994,
489,301,672,078,198,610,140,233,815,164,510,449,702,575,039,460,319,928,122,
980,396,630,871,963,352,438,512,230,146,882,306,103,363,863,583,139,746,148,
589,243,762,339,854,537,118,183,628,993,640,661,617,918,986,687,263,837,102,
994,657,340,103,217,684,508,068,640,401,900,866,614,186,101,043,347,128,834,
856,021,370,887,248,799,692,807,748,577,238,732,261,353,360,717,868,230,248,
098,201,838,666,022,051,809,465,487,306,288,751,292,321,375,644,798,865,002,
474,209,845,026,912,630,772,795,192,892,119,639,021,265,150,362,796,621,540,
078,016,228,745,560,722,239,890,272,252,890,323,250,514,943,201,008,157,364,
794,916,548,444,577,415,216,979,399,851,211,347,816,914,299,598,839,278,421,
271,167,586,609,313,782,660,868,718,864,159,299,042,705,539,304,558,949,218,
253,571,202,665,903,521,196,464,615,590,685,044,369,027,102,075,822,808,554,
203,515,302,178,226,440,241,953,917,020,642,375,426,817,776,327,373,831,064,
575,559,436,510,619,941,538,680,611,369,845,144,251,089,252,372,986,868,597,
292,715,489,906,748,703,001,219,072,314,080,155,417,764,558,124,670,726,601,
576,255,556,091,560,944,803,100,141,004,098,743,665,798,324,421,008,343,867,
588,427,111,176,870,717,093,342,553,903,601,604,038,512,351,405,103,269,140,
606,844,000,280,399,606,376,940,753,653,929,626,643,628,898,753,885,139,062,
390,946,970,266,282,535,236,509,653,736,475,631,885,836,979,097,172,522,868,
577,663,527,341,918,624,853,328,169,351,947,341,468,317,240,642,170,382,618,
044,882,536,758,088,879,354,532,853,942,497,991,038,257,785,673,368,505,906,
464,901,594,632,990,277,476,975,580,123,100,528,355,965,312,171,882,389,801,
641,131,166,403,379,062,778,276,469,811,677,759,573,838,603,394,816,655,923,
514,355,128,971,762,372,133,431,160,762,614,620,672,886,272,165,030,304,766,
768,248,979,185,802,305,619,649,487,944,397,197,034,595,649,872,539,585,872,
608,613,067,833,957,930,252,812,246,439,409,878,722,675,227,278,691,722,113,
428,782,895,624,712,217,726,669,762,469,484,123,281,053,794,321,977,750,663,
812,534,022,224,400,345,407,416,936,222,615,197,789,524,595,423,428,535,113,
252,722,425,203,615,314,275,629,354,878,501,672,162,581,789,530,459,753,950,
144,193,065,910,807,578,465,208,226,387,681,652,572,350,634,069,663,035,609,
919,487,526,542,794,613,319,254,504,951,123,086,958,749,591,154,441,558,648,
663,847,734,028,580,173,593,645,070,766,470,274,451,963,007,305,006,403,012,
380,803,373,708,014,276,224,194,290,211,993,469,723,641,523,179,337,685,810,
297,628,021,973,238,595,821,973,014,450,183,970,715,142,962,971,201,608,505,
879,908,610,069,752,000,581,386,278,501,600,170,345,552,463,999,323,449,129,
186,432,994,276,264,473,581,188,166,826,559,246,186,499,007,220,715,030,676,
383,732,573,494,642,237,853,051,330,814,827,504,081,387,059,546,560,463,792,
471,320,462,986,215,919,294,517,096,899,690,390,686,869,093,176,708,012,653,
575,553,298,322,927,180,355,306,654,735,388,251,093,780,873,447,397,883,724,
128,030,206,570,851,757,412,912,316,817,432,266,058,633,643,385,908,423,385,
791,754,349,551,819,166,113,364,141,723,095,467,596,665,894,468,759,602,947,
353,457,210,566,733,221,792,285,746,974,482,820,537,685,114,973,858,332,954,
127,182,204,595,834,352,785,032,409,883,671,423,727,156,184,492,694,638,450,
642,415,411,218,147,843,043,623,323,439,678,739,359,665,718,141,166,208,577,
161,952,861,111,051,809,380,839,954,406,449,718,569,597,486,742,405,617,043,
429,025,697,568,032,810,734,705,544,371,546,111,504,879,846,421,503,934,607,
104,878,872,833,415,877,721,792,563,101,937,850,908,418,928,270,248,914,876,
409,005,406,091,061,247,754,994,912,263,255,951,107,805,915,261,342,936,940,
992,902,072,228,642,013,508,550,957,354,442,872,173,436,559,476,350,948,349,
320,964,999,071,188,007,737,343,511,221,545,149,445,628,238,225,641,734,400,
272,740,340,384,945,463,068,971,266,150,208,912,812,399,219,771,021,655,212,
377,470,072,100,767,634,140,826,262,682,356,077,388,927,116,882,673,744,309,
500,491,642,870,977,654,481,781,962,313,761,205,219,728,823,265,295,001,343,
650,909,802,386,816,721,751,765,317,110,709,500,450,347,991,864,069,240,783,
796,807,874,987,577,728,144,625,603,351,409,914,653,708,731,871,348,694,431,
600,089,430,881,224,059,974,313,618,407,758,828,152,263,990,688,718,150,018,
734,670,672,688,934,686,494,093,373,168,227,126,715,913,857,876,481,771,404,
723,794,339,718,134,105,322,825,259,332,114,903,048,310,865,256,662,863,497,
665,141,696,920,033,394,986,610,984,734,335,016,976,725,631,510,210,785,644,
307,754,135,579,373,903,930,361,664,514,713,416,246,284,420,756,365,989,149,
703,523,761,663,593,990,562,600,565,543,189,353,634,945,456,239,096,574,964,
774,907,970,017,883,588,654,952,985,758,386,212,117,958,576,626,285,232,053,
381,433,079,647,505,185,998,294,979,943,318,401,450,802,958,363,977,971,926,
340,655,181,150,874,517,234,657,771,850,519,533,827,520,983,033,132,362,610,
031,138,799,375,590,610,434,755,582,111,834,160,742,746,317,577,822,231,627,
192,608,684,238,164,533,787,767,306,591,253,029,010,305,655,591,298,825,835,
240,756,087,220,673,000,639,318,437,943,947,489,160,810,116,704,264,396,521,
292,321,421,721,612,272,628,195,164,479,889,494,261,039,485,822,462,455,688,
265,038,387,035,679,559,320,637,633,990,021,337,315,983,994,621,683,964,531,
060,055,706,982,283,498,336,569,237,727,944,976,158,304,426,498,139,083,758,
165,531,767,943,099,219,551,045,971,760,780,823,932,638,292,342,349,815,606,
486,454,450,715,300,338,076,810,477,494,608,679,671,562,384,080,610,997,636,
132,362,650,223,490,678,093,711,916,115,551,293,199,060,434,100,086,793,999,
940,339,203,337,616,605,969,186,417,796,811,862,133,799,113,833,818,573,405,
665,947,620,241,849,942,879,545,715,720,739,452,468,425,909,118,892,205,134,
243,899,910,790,929,993,865,666,679,638,472,102,470,755,359,327,485,741,436,
633,610,067,009,433,604,957,833,803,246,550,664,190,331,516,570,781,052,893,
353,968,984,616,165,147,345,815,216,661,477,425,362,396,133,454,675,556,771,
071,853,205,465,403,396,077,227,429,661,874,359,791,976,761,623,241,322,562,
375,263,462,904,201,502,981,436,453,409,384,252,213,349,761,798,295,250,450,
079,758,555,843,075,683,000,798,181,532,930,036,753,449,508,890,020,972,782,
123,632,899,287,636,968,631,022,620,703,126,299,143,670,201,191,786,208,664,
049,361,036,698,029,132,423,885,456,917,479,933,584,618,988,385,558,563,371,
658,517,292,124,326,724,828,312,921,680,156,313,539,384,134,817,335,635,621,
930,437,768,602,840,709,440,214,784,456,411,077,794,595,887,093,351,736,902,
106,186,345,040,389,319,703,778,379,156,750,468,995,187,877,419,594,031,148,
290,455,126,656,766,723,559,263,086,478,969,548,580,752,433,536,042,306,674,
855,731,206,755,089,697,175,457,030,513,346,907,036,499,687,606,979,748,046,
621,164,481,311,148,516,649,739,816,101,294,893,711,249,315,356,618,512,948,
540,181,401,058,872,980,516,132,401,681,649,529,487,599,169,688,685,144,820,
958,266,207,988,404,614,838,880,982,781,952,406,264,675,224,034,302,745,207,
663,520,820,641,438,063,871,967,703,558,114,466,296,232,856,309,001,993,634,
961,402,633,519,560,004,254,628,384,036,938,099,104,124,115,101,366,141,233,
286,321,045,868,271,846,660,629,726,021,367,086,329,623,391,216,169,843,384,
829,115,602,750,398,585,858,711,371,061,072,157,399,684,867,974,568,948,681,
676,467,377,145,472,179,831,170,670,135,629,806,006,152,899,948,007,273,490,
756,396,238,462,657,878,700,507,089,623,486,962,140,885,991,236,847,118,432,
160,526,478,349,405,424,297,661,107,608,069,877,601,155,948,665,186,417,124,
345,504,551,695,697,802,818,525,870,340,177,003,120,487,548,483,240,379,141,
998,479,226,686,763,539,433,940,630,669,076,492,611,288,965,123,225,290,954,
890,688,337,430,238,696,449,959,622,143,115,601,461,503,455,276,092,305,084,
345,137,870,726,328,616,872,359,518,243,488,057,989,555,349,808,947,549,403,
147,257,551,057,838,864,992,993,766,677,330,467,902,172,670,031,206,650,844,
354,421,417,418,873,721,784,593,633,002,198,996,908,183,801,321,798,830,586,
851,608,037,491,530,984,718,736,490,654,129,052,230,972,236,315,235,304,638,
956,261,573,697,028,269,124,776,027,905,558,449,373,488,602,819,661,373,263,
137,583,265,200,494,843,205,220,140,478,516,498,888,863,713,130,550,844,990,
598,686,135,261,937,928,630,690,370,347,343,737,100,659,239,241,669,471,459,
430,660,787,584,329,577,119,617,145,988,651,126,465,773,076,769,629,192,488,
778,610,286,643,248,433,413,201,885,898,912,934,325,914,479,744,732,987,475,
207,697,071,690,511,525,817,171,017,142,502,642,406,985,434,979,842,843,536,
465,161,235,544,200,297,694,859,733,558,760,571,682,616,135,605,368,604,067,
650,852,628,956,518,839,938,821,066,178,360,860,750,259,857,400,382,923,099,
499,504,512,668,485,062,325,385,923,992,334,747,483,387,975,111,142,331,806,
175,108,183,126,721,228,743,018,046,941,220,401,655,577,551,101,260,014,844,
852,502,763,314,314,109,481,459,718,785,707,603,051,202,051,047,515,292,953,
516,340,671,224,798,071,433,196,565,053,498,273,965,160,379,585,263,810,161,
750,703,626,325,712,965,330,015,038,911,249,470,706,635,169,003,203,446,138,
945,807,981,929,888,680,407,228,134,313,219,264,082,566,299,069,092,187,359,
984,470,393,083,247,586,640,493,285,436,699,579,824,186,874,360,943,805,592,
203,673,932,599,320,014,173,077,130,274,799,792,503,828,719,209,666,996,631,
922,786,349,511,551,546,632,352,533,444,508,203,948,015,466,088,382,988,034,
436,352,631,936,542,982,846,291,808,677,029,656,511,110,325,140,732,995,610,
533,722,992,120,464,536,788,824,327,470,910,187,326,225,414,747,696,046,595,
710,758,790,133,304,643,991,070,663,618,081,564,089,498,313,418,811,651,041,
872,437,542,822,015,601,139,705,509,670,313,751,136,877,063,099,778,212,380,
641,506,286,298,266,040,870,211,582,846,726,304,494,590,157,767,914,169,578,
264,234,656,662,986,315,428,192,623,272,320,097,121,811,930,493,835,767,962,
765,270,299,264,249,292,690,508,292,107,555,118,399,821,655,821,008,004,372,
349,511,097,451,931,850,159,601,439,929,452,458,476,827,772,098,802,056,313,
108,053,664,703,589,634,221,879,872,288,785,358,518,839,306,317,299,295,250,
357,527,601,178,566,695,910,073,003,375,742,811,101,218,056,739,379,342,422,
291,289,022,222,769,037,942,657,526,478,762,746,024,470,551,729,149,844,905,
714,698,948,498,158,437,161,960,232,339,655,495,821,146,823,578,371,644,273,
242,486,649,610,801,759,153,095,059,145,823,074,258,348,824,736,299,929,909,
538,484,384,871,114,062,013,133,509,106,512,295,331,177,994,414,664,405,230,
303,090,583,120,782,684,343,989,436,664,309,119,330,249,648,020,858,889,942,
303,136,834,137,618,269,508,388,696,663,566,271,929,930,555,464,687,478,417,
586,186,964,601,394,431,998,139,685,609,894,932,545,629,883,450,373,029,615,
024,475,595,918,601,255,559,718,587,446,716,137,068,465,470,899,611,655,030,
769,215,279,841,009,204,133,729,577,475,734,624,363,901,706,900,973,781,203,
506,496,435,501,403,103,034,330,274,480,126,432,475,864,846,274,661,978,059,
836,628,026,214,617,655,039,963,510,757,695,996,201,571,285,196,440,019,419,
604,766,175,344,785,593,719,994,038,488,768,398,506,532,481,861,824,519,198,
384,430,680,683,924,834,479,444,034,594,885,504,506,885,088,134,078,688,953,
454,429,161,188,042,601,280,971,805,363,073,669,832,908,988,257,232,485,598,
370,621,981,274,757,527,599,410,847,124,758,231,479,569,393,176,285,967,108,
123,936,241,328,274,312,019,422,134,581,582,885,780,622,579,976,230,965,232,
585,138,778,030,062,160,653,923,470,798,957,173,658,244,045,688,651,930,900,
424,589,708,582,984,453,745,676,868,474,856,432,219,557,738,975,566,483,230,
924,372,942,267,330,920,474,547,777,766,601,328,488,650,603,216,664,911,181,
780,179,428,710,676,967,163,809,183,247,046,004,000,669,061,702,056,904,057,
160,331,350,732,823,986,062,946,367,590,659,108,244,516,426,409,179,555,515,
510,878,834,030,752,262,104,646,324,879,908,980,570,899,509,043,075,681,355,
365,079,277,187,882,476,767,430,172,302,379,708,243,171,459,869,656,162,827,
603,464,277,568,098,857,904,017,609,176,066,240,611,630,374,658,387,273,261,
702,727,304,547,543,733,719,610,644,831,070,654,884,183,781,123,772,369,017,
522,178,126,378,222,772,416,886,342,625,281,407,324,153,655,475,576,514,032,
428,884,603,295,856,183,587,986,557,868,928,022,446,394,576,177,800,418,482,
681,367,240,943,508,318,751,307,798,767,912,762,077,707,147,214,426,217,374,
937,311,501,337,878,709,682,732,786,562,174,879,676,853,051,116,392,763,182,
500,154,721,984,953,647,530,315,391,497,151,245,750,525,630,918,167,903,916,
519,171,701,917,770,442,302,233,213,080,206,954,828,227,206,270,544,116,503,
115,293,185,659,710,296,263,973,714,409,558,857,285,085,158,254,197,459,413,
069,974,871,018,305,324,006,077,935,392,719,683,932,581,595,970,491,005,757,
872,005,148,725,200,463,219,275,478,538,575,073,665,078,478,897,686,130,884,
009,488,212,505,618,302,308,997,083,942,139,083,101,762,354,469,143,432,190,
865,479,599,359,041,000,886,004,445,353,426,236,166,161,310,506,945,892,085,
688,340,235,445,422,755,967,084,130,457,367,856,451,654,545,764,012,018,290,
356,760,301,374,313,684,725,102,587,459,144,540,846,889,290,659,134,918,958,
081,346,032,475,339,496,219,614,470,292,614,998,954,105,660,993,921,321,800,
184,253,364,200,167,388,174,733,515,025,203,879,175,687,744,705,451,820,537,
863,036,539,293,321,495,598,922,833,530,078,846,673,487,412,142,514,231,539,
842,512,047,089,141,541,007,392,346,432,163,976,990,585,523,961,612,060,898,
253,718,665,089,064,842,132,366,950,516,625,669,519,372,860,988,342,456,709,
930,600,855,736,549,644,464,714,463,255,114,982,446,868,542,197,620,031,773,
450,283,827,945,487,045,396,680,215,383,856,889,917,379,143,758,147,863,149,
514,802,509,681,549,215,229,284,574,661,676,211,736,192,672,105,629,020,311,
262,295,665,657,070,766,479,072,632,119,674,926,182,970,361,008,663,378,317,
007,154,800,089,426,316,069,769,626,515,083,154,532,291,347,338,721,097,214,
471,889,603,674,544,229,036,778,624,484,348,304,388,004,043,419,285,952,755,
079,209,527,619,703,391,381,480,002,119,848,058,722,109,020,681,076,979,029,
782,625,063,304,532,717,291,916,192,310,329,866,667,629,388,933,542,892,056,
729,204,605,303,544,448,308,934,394,538,330,743,650,996,232,508,344,062,535,
609,260,392,233,876,918,797,145,184,182,550,760,580,832,642,253,644,050,349,
499,528,728,645,414,209,856,264,526,433,598,900,564,409,228,599,232,986,310,
454,747,796,616,433,987,828,017,853,609,297,868,625,960,891,144,897,852,071,
778,707,240,962,518,389,636,384,658,126,276,811,236,805,591,172,117,476,274,
981,023,899,944,532,630,970,449,453,585,548,849,129,920,217,370,759,662,540,
236,513,145,599,027,288,183,375,466,666,192,514,428,000,745,842,094,535,855,
077,884,428,847,491,113,492,759,240,812,829,021,427,184,621,683,308,474,011,
912,655,601,153,173,508,026,957,976,125,258,567,138,465,185,661,288,351,064,
159,171,428,163,274,231,826,414,794,206,795,824,187,109,212,067,215,418,168,
575,200,162,295,241,357,501,306,793,031,186,301,406,852,642,566,641,035,344,
244,746,298,186,849,495,605,131,424,976,895,394,435,197,779,424,111,488,809,
489,103,192,607,719,137,087,133,670,962,239,946,494,780,248,357,775,959,271,
906,406,529,970,060,097,845,150,016,131,529,420,139,956,437,760,658,110,172,
851,921,948,077,637,125,784,705,791,728,738,308,890,979,546,831,437,813,228,
264,045,404,206,229,845,981,126,078,772,890,079,163,553,376,442,421,096,228,
048,656,864,384,141,963,024,449,368,654,850,034,265,900,719,202,130,790,632,
205,210,884,762,819,472,191,619,843,977,615,869,623,791,651,634,375,533,487,
326,959,817,317,943,258,201,077,942,757,469,560,219,030,662,096,823,072,127,
683,802,734,926,701,375,573,007,633,087,870,300,822,029,965,427,759,575,236,
112,479,325,785,587,877,646,670,926,886,527,884,676,615,502,863,841,239,176,
394,239,276,208,864,385,089,399,376,229,474,926,947,928,788,422,539,001,119,
069,583,797,161,104,905,489,927,430,376,497,668,596,307,200,101,221,303,177,
708,674,162,723,421,869,155,770,746,565,944,698,935,500,528,697,902,944,747,
880,885,612,002,091,547,887,517,720,339,909,837,951,881,342,207,964,300,590,
023,886,720,553,356,384,645,202,581,841,403,671,835,479,351,708,287,086,390,
185,276,604,568,685,556,513,418,931,276,477,746,988,684,262,116,747,408,587,
213,589,370,262,041,183,525,841,312,985,084,235,584,061,996,787,577,594,689,
593,943,652,315,942,870,803,804,526,688,561,369,187,255,239,497,457,117,527,
834,143,173,518,520,348,488,265,953,493,484,749,165,152,344,715,993,152,496,
979,099,597,680,071,206,659,792,813,600,268,244,055,202,510,726,989,239,103,
525,158,739,699,705,598,612,678,610,519,133,195,318,350,297,797,607,618,761,
966,578,981,813,554,469,591,458,975,764,554,329,395,950,250,459,150,863,253,
924,575,495,490,878,928,216,084,515,059,739,131,911,503,581,482,767,748,343,
442,050,792,213,940,420,921,333,390,393,905,475,418,845,452,969,210,155,304,
525,274,955,753,537,997,525,221,257,774,337,121,478,001,955,352,131,562,744,
097,733,134,477,692,987,150,477,296,271,081,365,614,536,543,937,529,616,415,
917,876,754,502,298,822,188,272,954,510,079,478,661,710,549,964,175,829,557,
148,765,476,262,165,543,406,658,778,507,423,877,959,567,736,452,084,987,333,
727,615,810,673,510,563,411,623,885,513,159,735,537,339,928,078,184,975,974,
327,875,582,434,175,782,858,226,346,956,460,108,791,711,087,379,174,702,577,
569,446,162,851,036,526,844,984,497,749,943,841,120,251,073,299,978,096,080,
302,626,944,149,097,527,472,135,182,652,266,768,358,807,312,334,007,087,058,
947,346,261,604,785,425,396,062,033,192,265,311,190,432,229,456,461,679,686,
939,173,102,136,024,436,648,976,522,383,285,182,748,446,383,726,524,268,915,
772,371,171,531,964,946,114,836,203,617,995,653,364,995,819,240,173,792,616,
740,036,674,612,765,173,447,763,638,440,780,591,320,622,311,563,839,388,715,
998,891,077,874,745,268,433,552,857,577,807,466,189,512,470,571,204,874,392,
707,503,265,324,180,214,945,783,086,568,480,247,704,044,512,419,609,622,663,
287,528,143,265,241,491,538,626,560,467,731,224,635,377,779,831,776,568,188,
015,529,916,364,188,661,446,561,298,549,296,145,932,497,454,310,622,560,182,
374,390,651,600,605,288,524,112,427,112,776,803,673,438,790,708,202,944,278,
828,260,949,299,326,727,689,787,887,630,222,755,649,675,253,210,662,467,237,
871,445,878,637,556,293,712,841,043,311,050,634,539,230,467,607,333,691,834,
178,747,207,528,688,002,384,585,439,737,716,796,149,449,660,022,989,233,895,
738,120,112,668,197,701,137,999,123,735,913,592,448,328,490,642,781,769,592,
109,627,168,294,928,762,558,092,376,620,844,014,453,121,357,182,045,274,035,
328,889,073,477,729,613,245,517,921,222,191,574,456,445,359,728,680,528,982,
726,599,083,926,501,344,661,787,343,959,849,760,662,271,642,227,006,054,400,
516,214,323,442,565,261,970,057,111,510,272,409,101,532,945,481,986,343,318,
907,167,876,551,188,637,754,403,685,384,328,273,693,441,720,639,100,475,322,
753,007,090,390,537,877,500,996,775,456,950,491,360,173,771,933,132,653,497,
651,660,818,529,799,079,744,826,183,718,747,205,564,001,273,378,050,649,335,
933,793,166,460,944,046,306,436,828,043,133,893,111,730,420,319,239,639,082,
169,279,678,241,091,573,950,469,790,935,567,610,400,729,415,610,390,208,369,
585,362,179,533,555,414,831,888,092,536,105,836,638,472,449,481,509,446,865,
743,480,819,172,449,432,625,583,760,518,589,589,262,012,359,733,341,902,122,
684,601,490,636,838,743,405,565,605,540,939,203,229,801,664,995,634,443,796,
607,133,547,918,958,574,703,399,126,725,021,863,206,585,978,430,460,908,211,
166,820,784,342,580,809,163,755,662,921,144,910,460,492,880,081,278,313,245,
114,340,071,839,525,972,227,933,611,615,099,308,104,294,647,378,745,851,099,
939,058,131,250,345,812,037,928,721,547,663,269,078,171,281,901,506,245,742,
490,104,327,560,347,320,602,527,915,655,804,160,869,705,877,721,608,926,153,
509,503,675,290,189,079,576,906,397,544,301,137,920,801,684,027,334,115,119,
627,393,074,777,158,712,242,085,284,150,670,468,968,783,560,439,817,376,096,
337,791,643,765,757,090,051,692,937,234,459,526,756,423,084,598,956,892,487,
809,284,724,183,827,197,201,641,057,225,342,676,661,762,516,702,712,604,920,
939,602,186,571,071,430,675,750,094,513,981,734,815,659,186,516,288,813,578,
061,286,020,536,033,299,868,103,186,802,039,448,408,473,128,630,728,854,534,
060,706,680,256,712,123,725,033,278,026,174,399,428,814,155,669,304,416,586,
901,235,310,563,919,543,557,715,309,889,075,989,211,851,334,011,280,527,027,
931,252,438,701,698,800,255,749,364,261,231,918,181,850,416,144,426,984,607,
380,029,273,117,935,544,562,495,050,889,614,320,671,740,331,591,216,611,606,
318,920,869,986,300,965,578,352,862,778,965,446,504,701,647,318,251,783,655,
399,904,183,880,397,722,073,184,913,168,784,109,704,624,477,163,121,151,958,
307,485,066,852,838,538,067,418,201,089,007,353,466,030,890,365,828,757,941,
488,828,535,648,713,302,094,760,022,816,138,730,984,672,631,598,987,457,178,
103,366,913,998,608,120,937,266,016,051,049,263,390,767,979,950,264,877,988,
656,324,419,918,441,796,359,511,008,526,382,102,030,660,937,813,695,221,442,
282,847,305,858,570,142,555,451,352,973,768,732,867,414,496,746,206,159,152,
841,464,957,787,107,856,295,577,591,049,303,106,024,487,088,776,413,303,496,
212,131,987,357,971,980,959,925,842,799,097,064,022,325,998,899,024,513,204,
363,988,111,870,494,875,000,717,451,031,020,888,868,049,817,692,894,330,252,
432,489,087,501,702,456,871,392,265,302,847,547,765,337,725,635,747,257,476,
242,697,437,874,691,898,365,491,213,197,840,105,698,729,339,230,439,883,398,
745,449,097,930,133,126,250,049,576,046,463,311,731,771,832,536,176,957,819,
522,461,192,684,955,899,284,993,142,940,937,919,446,363,995,734,118,943,094,
018,717,336,307,564,615,289,356,852,297,828,389,649,959,403,607,495,487,701,
622,780,113,834,660,109,083,994,789,422,529,660,513,325,977,873,292,511,253,
762,316,741,251,527,285,037,785,644,701,721,395,523,733,214,917,623,560,518,
463,031,634,183,277,068,296,938,919,415,050,465,864,578,714,486,090,428,566,
124,510,508,302,823,587,391,509,990,095,166,341,764,679,893,098,649,107,767,
780,035,771,674,847,767,414,259,824,775,206,147,022,236,668,015,404,819,740,
000,312,803,711,949,041,645,902,857,774,297,949,496,649,569,901,862,917,212,
939,788,253,619,966,697,529,973,445,900,267,853,311,253,918,708,979,110,102,
737,721,575,918,747,004,111,215,775,168,472,406,519,948,842,466,478,549,276,
532,857,916,193,253,571,286,175,269,343,174,908,164,683,246,459,224,935,649,
722,973,197,158,668,293,953,886,120,830,953,288,144,718,907,410,039,576,024,
699,109,817,261,710,224,954,946,012,252,448,629,365,175,457,512,184,044,403,
143,017,959,512,833,845,077,936,127,293,751,154,508,559,133,719,366,678,533,
831,559,299,148,364,531,340,754,161,013,324,055,492,888,781,757,975,411,873,
466,779,076,266,682,850,098,971,332,193,643,599,449,573,165,315,637,154,649,
626,025,083,082,572,455,780,878,528,700,138,328,432,440,759,870,594,934,061,
074,824,763,316,239,197,253,352,214,780,755,971,206,408,510,918,446,677,237,
613,166,233,318,812,443,934,663,221,379,267,602,103,639,714,763,790,742,101,
874,664,413,723,490,518,009,090,122,279,304,190,669,044,693,041,673,983,750,
630,604,248,176,427,917,631,127,295,796,011,658,760,032,156,921,078,433,237,
025,852,448,388,820,205,352,516,703,565,742,580,031,471,263,826,939,476,291,
416,581,410,037,824,906,916,652,068,749,986,848,612,426,306,840,524,764,832,
368,077,052,761,956,716,006,186,782,403,090,849,580,322,133,136,967,206,240,
335,364,482,382,859,632,925,514,314,251,055,438,104,569,895,086,190,758,332,
098,757,808,134,702,471,331,955,263,165,373,357,294,178,383,113,031,337,917,
998,677,238,480,715,288,644,642,887,035,798,150,981,866,636,969,587,030,830,
713,249,639,654,370,848,464,254,749,806,641,586,653,592,140,537,384,432,866,
587,906,752,759,726,675,366,414,876,540,004,887,182,580,910,929,657,921,856,
716,936,599,761,047,346,125,165,861,201,908,373,010,946,414,973,005,497,142,
159,953,816,404,283,398,510,163,864,749,675,269,893,621,774,963,757,157,232,
885,363,918,916,085,381,409,304,529,719,276,218,253,844,518,041,011,840,208,
478,704,681,638,007,009,321,715,805,575,755,200,947,823,096,954,657,203,117,
792,131,946,874,649,740,461,075,099,687,815,608,518,594,946,201,579,821,503,
884,483,621,999,145,686,590,280,260,649,072,951,141,753,923,407,925,120,117,
550,110,000,734,462,569,673,816,891,534,873,550,897,792,930,943,981,447,206,
352,669,216,621,329,523,312,908,823,309,462,298,626,800,497,166,766,541,544,
412,512,147,638,765,340,758,494,267,573,605,126,124,289,742,429,471,549,380,
849,426,788,907,258,426,783,493,759,838,498,078,915,837,461,605,508,610,247,
650,285,654,044,122,412,792,794,621,670,358,882,253,907,581,644,424,261,464,
749,505,458,970,754,694,940,527,877,011,781,043,591,537,329,530,849,536,269,
862,265,285,913,796,438,702,120,951,161,394,403,277,749,923,441,805,360,021,
130,054,746,652,272,768,784,195,043,786,511,620,573,300,623,356,456,109,138,
970,311,249,229,099,204,185,513,863,113,668,224,148,418,009,151,862,807,140,
343,655,701,374,527,180,202,312,839,068,224,705,073,821,973,091,986,961,027,
720,979,539,353,647,237,118,623,781,226,804,890,835,494,423,916,728,383,361,
507,860,084,639,875,739,196,634,921,243,784,350,409,349,073,138,269,550,981,
269,363,153,327,845,372,762,022,287,629,848,296,565,421,044,946,454,418,827,
785,299,286,806,705,317,189,758,280,346,853,910,077,426,427,348,301,820,569,
998,665,927,078,306,249,069,898,224,454,235,748,353,277,245,007,668,801,846,
661,966,676,901,799,968,302,815,580,724,789,102,270,214,121,244,515,360,115,
450,424,168,564,710,230,714,521,050,685,605,987,715,533,153,192,485,949,620,
109,605,219,125,626,571,722,414,599,665,454,452,957,457,534,549,147,897,588,
598,127,348,487,642,524,288,441,670,367,033,744,967,893,566,254,911,444,590,
953,094,281,383,443,013,889,861,519,699,774,741,104,665,966,946,373,348,845,
390,505,361,728,085,318,763,341,240,420,966,024,350,541,527,889,044,768,283,
769,719,463,131,797,162,299,808,515,826,190,620,691,929,944,195,128,548,742,
555,253,189,871,994,517,287,877,101,505,698,851,110,017,048,856,039,906,865,
929,171,260,932,920,496,026,810,287,188,020,421,872,558,644,967,511,433,835,
021,065,129,062,102,192,870,317,670,910,347,134,186,683,905,964,092,221,689,
659,703,329,842,342,188,966,441,387,362,975,975,188,313,083,714,686,539,609,
662,144,305,477,935,577,916,719,106,835,790,179,275,259,733,063,232,817,290,
448,416,846,844,288,623,365,112,674,889,024,341,023,523,260,934,362,522,229,
955,399,521,578,447,944,865,600,753,405,175,374,741,156,184,013,854,134,704,
657,103,028,348,398,536,291,654,639,266,019,821,964,958,069,048,970,736,859,
165,028,360,638,471,422,452,164,994,736,757,235,604,122,166,508,927,184,002,
686,818,403,115,840,234,039,478,372,751,704,474,209,817,534,778,672,562,549,
954,109,337,079,131,480,641,110,000,351,201,466,169,113,965,225,210,603,253,
874,706,470,790,232,148,047,484,887,243,686,471,258,799,208,271,838,123,924,
682,168,514,357,092,723,275,473,902,189,075,611,615,038,661,160,450,575,880,
927,527,983,006,194,595,479,830,689,442,700,354,068,471,290,781,502,876,573,
897,480,135,682,483,658,458,581,172,225,664,227,496,250,733,119,394,731,852,
195,661,762,782,296,655,552,946,942,309,720,226,369,615,601,903,196,021,638,
496,755,853,806,154,921,452,074,195,246,871,529,420,874,868,187,836,725,388,
676,053,178,521,459,338,775,740,593,321,191,152,955,080,523,900,982,720,815,
178,405,622,262,687,100,079,217,278,631,874,275,205,164,207,007,362,287,849,
205,743,355,741,073,658,820,876,565,628,088,714,933,656,659,983,085,242,361,
407,611,483,148,732,181,880,563,663,432,261,188,171,287,489,207,087,269,580,
946,870,970,383,325,805,242,342,539,384,893,184,015,153,345,521,539,784,684,
725,104,429,921,982,750,187,837,332,475,252,881,349,203,176,157,088,577,503,
293,573,698,200,138,962,454,779,814,874,762,030,657,040,948,025,988,742,367,
637,069,344,607,963,371,004,414,850,020,891,730,955,276,480,607,711,126,655,
657,701,567,868,315,949,214,300,690,502,327,661,584,205,045,518,991,744,649,
401,680,687,623,401,726,000,022,259,144,649,967,855,922,528,806,540,525,381,
605,316,530,184,325,866,506,661,029,094,361,386,675,107,833,690,632,592,682,
884,134,764,839,945,603,955,943,847,564,862,519,739,564,232,585,654,938,803,
202,925,277,729,165,380,739,326,090,242,979,844,603,956,642,329,223,786,849,
221,904,268,922,140,133,705,695,544,078,957,733,332,649,478,036,457,613,685,
846,546,023,091,301,321,522,972,457,115,965,288,422,676,203,311,162,680,356,
443,756,533,376,364,504,064,593,102,781,313,092,916,116,536,008,312,369,393,
008,291,205,186,539,765,613,473,374,093,957,471,918,538,374,303,590,179,541,
090,975,674,019,765,469,247,200,760,901,632,794,399,402,015,649,453,026,785,
737,730,704,140,645,767,788,855,743,175,402,077,749,285,624,706,012,048,890,
139,163,842,353,441,113,366,406,514,846,637,051,433,294,171,047,858,680,691,
277,944,805,839,110,522,147,476,271,191,710,555,394,737,880,505,657,430,424,
338,929,507,061,645,355,041,743,063,239,008,727,472,666,810,800,435,418,648,
891,434,182,622,774,296,610,950,333,387,949,757,664,237,975,641,813,618,860,
702,139,459,649,971,830,638,639,823,134,457,464,022,408,604,621,528,651,378,
762,340,772,570,084,417,468,670,760,505,545,499,636,804,304,302,390,719,447,
202,937,746,483,657,031,811,966,648,572,094,290,350,178,424,581,132,887,506,
313,818,169,289,999,034,580,562,835,461,108,210,779,456,356,363,619,884,528,
646,025,593,192,372,201,779,639,277,318,543,171,741,273,575,904,115,702,109,
733,288,079,566,157,481,852,464,506,916,465,128,891,408,299,512,260,732,455,
351,802,292,736,105,958,569,132,382,747,028,064,207,054,336,854,489,106,744,
196,473,057,494,491,867,679,113,956,303,785,461,096,708,581,817,942,105,379,
456,213,268,748,709,279,416,921,993,637,039,975,597,800,888,553,325,722,017,
317,538,321,744,010,468,986,866,368,545,655,168,009,360,869,873,060,004,355,
702,643,702,026,897,381,551,533,528,614,560,884,949,898,856,829,415,924,395,
326,299,905,569,296,445,004,025,399,184,471,265,632,876,910,559,339,589,601,
529,419,326,278,929,838,120,009,557,457,398,154,093,255,608,174,686,488,853,
161,705,293,784,195,504,430,151,874,303,612,121,700,594,433,511,335,905,315,
981,985,315,729,691,837,681,492,226,759,889,789,478,943,082,630,617,410,275,
630,602,526,509,246,083,392,898,007,720,110,992,999,011,583,287,016,619,555,
087,981,217,896,428,761,318,142,634,662,555,827,324,318,053,926,547,115,068,
858,671,754,448,077,574,936,726,780,557,264,675,370,734,927,901,039,220,437,
197,645,155,037,743,574,774,736,285,515,897,921,157,730,956,986,513,858,500,
046,340,813,083,163,674,875,573,255,671,623,285,123,752,682,658,772,520,062,
645,105,003,040,078,220,519,688,462,543,870,872,295,980,203,520,045,813,218,
093,761,193,082,171,113,813,146,125,819,708,109,947,546,480,360,361,982,004,
194,200,660,020,186,022,279,772,015,184,788,481,035,448,250,249,560,758,192,
520,570,255,839,095,343,007,497,980,343,938,052,317,632,505,375,985,495,324,
202,470,498,206,218,822,657,843,116,319,378,885,326,526,440,060,453,504,451,
769,233,901,269,166,708,784,665,742,096,325,659,038,176,664,067,886,264,057,
582,195,775,847,138,784,118,119,780,395,717,848,244,209,997,636,183,764,856,
291,089,420,621,086,390,030,844,968,397,484,844,192,310,297,180,391,335,127,
969,708,193,014,397,457,882,590,664,693,340,720,870,563,208,010,491,405,265,
392,187,141,715,703,524,013,821,658,721,573,933,084,503,780,553,899,041,768,
087,279,122,835,249,447,907,018,602,291,700,862,615,592,891,418,418,800,190,
259,040,032,655,427,119,157,062,694,188,441,073,085,333,067,858,272,625,231,
277,510,534,634,165,270,047,825,463,425,762,047,239,144,161,996,559,425,301,
604,034,018,061,394,016,317,853,473,557,606,606,808,183,357,789,201,117,842,
562,847,692,590,913,271,067,892,934,988,466,795,822,008,570,656,866,195,613,
467,061,490,200,307,124,037,202,434,057,840,281,055,328,142,707,301,127,401,
756,855,228,066,613,534,457,805,653,834,624,123,194,528,988,721,697,168,308,
868,667,762,164,363,162,341,931,217,299,395,108,759,080,239,115,365,920,403,
127,221,326,930,002,578,909,832,301,840,171,234,637,407,672,484,521,242,817,
985,542,735,457,553,015,322,914,416,193,391,188,214,387,198,253,606,228,362,
245,945,835,351,303,188,912,242,898,036,905,458,115,260,632,135,208,664,195,
892,929,684,376,995,666,475,531,581,771,184,980,379,311,551,160,514,654,356,
320,578,398,757,370,905,236,882,660,758,780,323,099,380,296,442,780,342,153,
971,950,933,410,845,418,115,348,764,326,798,116,676,166,144,476,957,527,178,
169,467,587,394,617,458,788,073,494,111,589,916,268,958,839,205,129,112,951,
786,953,097,227,146,834,453,383,085,171,687,369,458,291,064,136,302,403,932,
620,172,239,895,556,893,771,860,112,674,567,968,982,961,763,631,406,624,285,
501,948,746,798,520,166,911,907,875,953,021,558,439,748,638,473,221,400,284,
907,239,116,175,958,791,692,370,999,215,797,265,920,727,208,684,866,054,988,
832,979,723,685,735,295,053,276,431,082,153,613,050,122,503,601,314,618,512,
326,325,844,518,457,712,608,981,848,637,403,979,622,989,881,115,975,578,961,
404,289,549,648,492,993,593,424,869,466,541,858,954,739,904,557,240,599,386,
294,322,875,683,899,244,342,655,533,717,366,728,885,186,272,167,302,671,135,
574,861,873,075,365,541,673,027,398,614,753,070,117,860,315,219,566,737,165,
230,852,980,670,336,263,131,765,711,450,787,689,875,226,576,817,682,754,229,
172,152,431,942,617,801,038,221,771,797,075,469,077,761,111,058,080,269,272,
381,578,030,059,104,061,186,020,917,906,272,036,845,787,345,092,668,403,974,
798,012,955,081,743,644,704,501,766,720,621,084,361,738,206,398,990,246,212,
509,750,765,746,824,079,141,731,357,952,549,797,940,892,574,681,488,958,504,
521,125,326,378,759,938,901,864,301,241,896,669,527,291,501,309,233,621,835,
746,174,656,190,062,926,634,772,862,142,847,511,385,618,570,796,230,981,778,
581,030,358,453,948,895,923,349,678,230,120,509,730,219,563,513,897,638,937,
691,913,256,502,378,913,808,857,147,516,707,397,094,641,128,698,746,703,383,
890,265,961,840,067,634,272,090,722,239,547,045,840,282,361,055,850,407,189,
852,272,943,398,625,705,758,102,583,098,413,442,718,225,972,294,642,919,847,
603,219,434,326,244,807,291,457,576,896,128,829,377,888,355,411,426,393,459,
787,753,058,301,709,470,291,644,118,788,884,240,473,736,795,971,928,061,096,
626,969,696,406,727,276,205,467,750,618,395,958,690,774,850,713,785,791,377,
043,873,085,898,456,915,949,417,311,992,356,642,285,391,089,208,874,373,907,
146,232,494,751,092,586,676,999,137,561,941,497,432,596,913,902,184,218,957,
903,513,545,429,164,480,704,801,454,477,898,940,100,826,849,982,347,298,391,
505,055,398,935,115,043,867,590,909,920,163,417,892,421,252,065,044,935,532,
965,050,213,128,990,989,096,332,977,154,096,302,864,418,316,673,042,397,443,
885,482,516,617,905,370,949,007,528,502,631,784,488,533,806,870,279,095,593,
411,473,356,702,886,911,977,951,210,087,819,226,812,980,233,651,425,727,287,
662,839,072,375,175,214,132,328,729,177,008,342,599,751,947,277,203,574,743,
437,103,269,773,880,531,273,787,212,422,021,660,863,017,132,808,330,502,080,
745,500,103,986,988,510,744,410,368,915,091,348,322,065,825,608,833,486,056,
772,998,900,342,802,413,476,005,028,010,805,612,631,259,790,554,554,896,700,
735,391,503,773,135,043,878,588,973,864,843,539,671,939,363,437,631,061,655,
256,723,176,460,466,725,886,795,621,790,651,506,580,397,140,035,626,516,367,
752,587,164,005,152,773,650,957,511,873,379,431,410,974,380,472,215,051,102,
998,588,013,006,802,442,662,055,216,014,586,004,866,227,480,706,911,667,889,
779,948,940,709,961,773,825,907,538,273,314,972,596,210,598,842,261,698,215,
902,486,025,591,373,767,138,418,601,314,807,258,056,311,164,517,164,520,268,
962,105,108,677,563,984,162,576,225,693,344,951,526,611,328,475,950,497,528,
631,380,877,133,201,969,795,192,341,858,231,110,472,289,879,663,896,448,516,
350,208,111,114,975,534,933,863,019,277,966,708,214,639,532,450,211,511,991,
859,150,890,327,393,007,460,499,482,503,072,693,244,952,367,992,335,213,521,
499,753,708,609,856,516,364,075,340,665,130,337,798,335,647,091,487,866,700,
546,249,098,666,818,291,174,871,923,745,328,019,972,882,759,086,024,592,325,
893,482,656,826,667,286,090,712,767,766,992,436,774,949,332,916,808,486,681,
650,240,968,640,175,275,142,905,518,643,578,418,024,463,776,212,310,644,283,
958,834,572,303,888,221,855,436,209,011,349,040,932,581,789,750,870,610,660,
429,603,574,693,356,079,780,789,216,199,281,612,192,960,075,824,939,877,581,
993,977,741,554,508,858,860,760,843,640,261,186,088,908,639,856,515,550,301,
891,106,709,194,480,878,741,814,765,091,305,765,357,096,994,205,494,048,294,
543,032,662,143,014,731,114,773,255,451,252,393,675,754,791,104,800,962,888,
324,871,279,128,602,762,138,621,259,868,239,561,839,699,927,456,174,440,610,
196,557,336,693,382,198,490,361,417,108,097,353,125,521,553,569,354,987,682,
278,180,666,011,856,668,579,784,145,103,655,688,304,738,351,822,229,285,731,
065,771,027,760,292,126,757,287,319,919,381,526,102,607,279,848,816,168,179,
813,515,824,068,846,796,129,953,946,036,716,241,034,475,263,553,846,186,473,
083,261,411,965,234,228,712,075,000,962,727,183,916,461,194,603,331,503,961,
241,523,093,126,756,755,514,243,684,588,685,838,983,355,182,128,013,097,981,
205,729,104,585,709,374,963,950,859,425,477,483,914,667,014,056,832,945,150,
751,200,043,636,477,380,211,304,780,297,503,495,111,790,882,763,151,916,346,
616,043,070,502,550,598,514,373,205,269,356,558,028,799,080,868,732,015,870,
073,011,984,632,939,469,392,279,729,051,290,221,977,048,495,703,561,075,187,
120,276,425,879,957,832,062,580,373,249,827,699,940,607,400,058,027,469,599,
374,051,014,204,238,501,943,744,457,635,633,541,101,020,310,832,821,133,624,
480,077,343,854,474,856,453,886,750,644,465,921,695,393,114,297,871,035,087,
018,269,838,463,627,272,656,185,516,574,249,594,212,173,785,023,590,438,769,
509,315,948,245,656,247,656,905,716,754,568,239,514,638,993,633,715,548,113,
765,471,024,118,402,946,592,027,473,367,029,359,140,977,290,247,523,544,455,
970,418,484,562,778,677,979,944,393,245,090,819,428,724,493,609,390,352,008,
550,209,279,543,349,844,459,920,374,053,066,875,621,798,829,832,673,333,583,
217,955,477,252,283,693,062,917,920,964,054,496,414,723,479,961,848,243,684,
080,914,324,859,028,974,407,578,516,191,697,639,906,140,906,193,102,715,120,
894,196,493,659,306,510,057,967,830,259,067,246,907,604,862,272,367,140,655,
696,535,857,006,541,749,769,997,157,704,366,198,015,232,759,618,926,863,698,
280,889,728,030,464,928,139,925,278,018,967,737,068,630,186,329,811,485,834,
659,226,601,027,964,153,971,144,537,264,195,711,013,651,347,996,503,634,925,
134,397,954,345,798,021,106,348,761,147,387,620,881,742,247,199,725,447,616,
854,226,113,927,840,426,209,888,780,783,523,324,180,206,078,048,506,284,884,
789,547,047,204,999,765,627,561,487,710,274,554,942,318,072,079,584,051,514,
552,600,068,061,781,703,919,897,019,406,586,126,264,537,563,133,037,949,355,
596,284,401,346,809,377,776,710,862,893,875,825,860,846,422,606,092,018,864,
764,267,409,411,222,688,303,951,276,573,803,978,510,157,553,821,531,799,043,
746,311,634,352,031,769,156,113,278,583,929,622,680,200,622,153,503,732,821,
361,226,455,361,084,694,527,844,918,188,877,775,727,653,768,437,984,510,871,
481,156,940,228,188,147,688,080,011,756,510,199,591,808,067,776,629,133,906,
036,356,834,094,098,980,938,849,218,896,177,852,327,243,679,430,888,288,014,
689,945,039,646,836,365,911,593,054,639,943,518,059,930,196,944,926,779,034,
878,948,143,498,288,032,222,721,908,231,759,557,162,137,328,331,220,829,374,
158,774,752,228,992,353,579,775,970,466,271,310,881,662,311,107,271,412,807,
839,967,377,839,191,667,251,502,205,357,358,825,864,980,891,487,305,885,750,
498,728,130,992,118,070,481,575,401,347,576,328,091,126,533,936,897,886,612,
874,810,356,036,933,922,750,389,465,428,668,239,431,873,867,235,389,954,691,
213,794,933,134,694,810,811,541,372,515,256,083,949,485,082,031,395,735,889,
809,098,425,660,716,314,674,616,600,843,011,853,131,007,916,361,237,906,002,
179,567,690,038,616,513,743,857,054,012,840,863,267,355,523,372,926,881,194,
117,236,846,486,042,087,662,093,595,421,002,224,987,497,313,513,419,627,294,
051,842,701,948,944,444,468,823,554,285,720,794,712,030,361,895,916,887,512,
854,449,951,686,110,135,283,815,093,192,669,574,415,787,673,822,840,340,295,
323,977,845,341,511,864,521,092,858,981,898,837,957,903,173,950,630,863,887,
083,131,108,277,240,261,117,357,187,073,075,986,635,963,498,698,692,960,785,
168,360,239,537,019,988,220,268,144,359,180,435,490,800,009,844,515,623,351,
523,668,752,936,275,860,543,324,127,667,583,628,506,673,306,646,466,057,034,
559,391,216,757,063,504,470,029,832,597,812,567,305,931,395,396,693,459,211,
847,595,369,662,933,142,589,789,412,175,419,105,677,452,714,921,793,652,153,
099,092,597,936,534,897,711,204,820,810,197,238,743,812,862,742,608,747,646,
899,600,262,219,160,784,896,609,442,691,294,857,625,226,838,005,008,994,437,
906,858,746,369,817,702,360,152,663,151,219,149,790,613,244,810,775,206,949,
332,808,799,457,084,863,751,537,027,291,700,157,518,263,132,507,998,020,040,
950,639,832,529,357,793,165,692,097,318,783,759,308,031,017,066,235,383,685,
876,200,271,048,049,759,552,874,508,918,377,627,733,256,429,853,506,348,375,
695,601,035,759,648,139,417,773,805,777,747,288,192,443,179,519,661,744,922,
955,257,698,549,796,681,866,411,699,844,641,643,115,640,659,919,892,540,342,
423,600,432,411,107,125,290,333,217,578,132,644,829,852,023,799,915,852,520,
099,058,057,680,583,498,520,518,256,357,902,175,341,233,127,064,677,014,114,
061,253,215,813,473,833,757,052,621,030,993,062,097,780,277,821,841,456,317,
204,093,441,259,660,912,325,957,315,439,530,347,220,684,146,101,898,679,144,
569,127,171,682,854,992,033,970,722,791,484,548,464,455,351,429,973,174,438,
784,164,527,101,368,704,013,036,748,602,482,015,645,939,962,896,955,598,010,
429,155,203,663,701,556,299,640,943,671,926,320,927,063,152,868,055,992,173,
866,946,436,041,893,100,391,416,716,195,287,073,134,543,674,236,111,837,269,
442,907,011,508,324,192,664,766,839,605,647,633,543,420,815,420,472,759,097,
409,373,767,019,391,022,877,344,203,441,003,122,954,950,135,422,038,702,384,
953,958,805,429,853,586,746,214,519,377,793,795,642,253,514,789,391,327,591,
091,530,165,457,061,169,731,783,075,425,608,008,430,769,892,538,466,043,162,
764,477,588,014,226,498,465,450,809,634,225,332,171,831,391,271,226,586,187,
146,769,736,719,646,669,236,874,081,285,907,465,975,220,997,022,006,888,154,
222,112,016,782,750,561,843,565,520,322,097,215,994,421,906,661,040,174,979,
620,653,622,638,754,588,718,719,476,866,239,853,455,161,203,783,739,284,764,
423,151,329,991,817,947,390,798,396,714,403,161,169,596,711,253,605,728,542,
568,576,412,471,948,661,518,083,033,852,184,416,468,248,193,925,593,830,005,
773,048,172,363,598,391,448,061,913,941,145,304,420,976,618,648,725,996,288,
597,604,932,936,282,214,498,647,417,743,622,043,293,456,150,336,578,775,196,
774,293,074,932,131,284,427,437,093,232,281,844,121,686,679,279,484,802,572,
480,396,380,750,950,473,928,169,104,767,466,658,662,796,164,925,505,744,236,
406,520,880,163,281,139,314,926,658,596,053,944,235,805,543,241,050,356,681,
645,572,630,543,390,891,393,953,927,849,312,865,554,725,588,294,199,594,774,
718,852,001,207,879,240,893,594,233,426,274,995,532,136,135,408,531,904,667,
740,705,338,778,525,815,322,552,060,622,031,589,482,428,461,487,888,715,149,
711,590,754,737,882,746,932,610,819,979,656,919,831,020,720,111,779,671,700,
166,068,679,931,242,990,749,341,447,811,296,880,725,929,045,650,487,769,191,
442,753,966,976,641,832,568,944,860,405,580,781,171,401,847,010,927,221,928,
955,267,823,630,291,582,407,022,230,137,201,066,267,554,097,988,737,989,395,
662,201,873,648,062,284,536,425,155,519,379,241,748,810,050,684,291,139,138,
963,297,045,435,660,501,674,433,555,200,043,661,548,830,964,093,664,803,787,
666,361,158,304,978,225,577,528,760,956,786,276,933,620,217,814,941,732,982,
590,554,549,698,022,796,120,617,446,559,586,148,139,702,618,388,654,784,509,
751,595,458,699,997,120,484,350,217,952,719,749,481,049,917,447,246,215,911,
625,497,184,723,541,524,945,494,928,180,200,552,508,050,967,492,384,553,003,
461,440,350,162,990,863,450,805,148,205,179,775,088,826,518,058,722,280,750,
072,685,034,705,716,923,634,865,923,991,710,096,357,394,986,097,275,878,860,
666,979,971,221,762,355,795,089,739,298,462,362,690,439,287,623,784,149,858,
503,142,200,984,362,154,638,504,139,732,826,151,393,965,071,526,502,196,564,
798,680,979,363,571,775,930,436,079,658,297,234,564,846,902,076,839,650,306,
430,867,631,455,358,821,177,219,283,584,983,923,495,797,730,070,426,764,041,
995,303,067,660,529,226,424,670,541,063,237,075,376,785,525,843,401,968,163,
378,263,631,984,549,536,876,601,776,972,952,877,590,690,325,936,779,233,207,
561,187,437,405,926,730,762,822,437,782,033,088,739,665,340,488,499,326,847,
644,216,145,614,427,369,468,067,741,139,678,822,903,743,989,810,392,330,707,
493,973,866,512,790,128,697,986,238,348,043,443,499,713,341,837,746,409,853,
509,692,876,168,344,624,473,827,175,502,276,078,719,121,866,637,486,866,056,
538,846,603,818,698,387,277,008,649,900,600,456,766,197,614,954,035,244,049,
268,620,778,302,128,473,817,049,329,343,934,981,841,705,092,986,843,603,520,
025,908,176,887,988,732,350,752,209,350,766,102,534,072,075,987,415,109,980,
573,059,997,804,053,531,982,714,493,063,460,292,033,408,766,846,787,327,643,
498,306,318,890,318,138,652,969,930,109,303,161,260,853,282,462,257,911,284,
808,180,645,915,668,812,402,347,793,449,735,854,291,786,828,925,941,752,588,
898,715,767,540,131,704,858,334,197,464,880,671,732,282,573,798,661,346,051,
171,307,682,313,820,223,693,347,367,036,248,155,645,181,132,239,647,404,563,
343,079,862,242,394,567,356,219,637,127,711,571,625,595,130,258,686,712,799,
631,682,430,926,575,820,974,688,484,842,732,661,661,947,663,241,187,801,567,
664,643,043,725,344,860,974,373,947,497,612,645,231,563,288,679,922,889,614,
864,716,769,913,300,951,308,099,483,266,097,042,441,391,077,789,640,544,740,
592,857,522,075,309,861,616,030,479,234,692,037,363,392,460,199,327,611,830,
377,093,098,317,819,983,532,374,080,061,740,538,578,550,770,521,774,213,936,
005,508,159,171,230,633,679,796,528,392,207,146,118,027,321,664,827,209,889,
311,465,002,990,521,392,563,533,640,954,520,884,050,484,477,901,130,690,812,
471,510,904,547,274,735,886,047,197,094,471,013,084,545,001,700,753,029,474,
003,141,651,457,940,794,681,113,006,591,836,472,407,858,928,368,922,448,629,
790,237,111,443,307,673,143,796,328,051,841,498,627,396,892,043,176,152,321,
734,306,038,009,247,199,577,477,388,860,300,435,637,982,529,346,279,017,114,
290,987,963,733,341,299,041,708,924,018,872,619,841,524,096,223,135,644,220,
673,973,842,060,715,604,249,527,027,295,975,184,241,435,289,939,420,930,483,
009,033,370,367,197,204,319,975,710,619,399,126,569,405,692,093,227,646,140,
620,656,250,456,887,902,117,716,096,047,165,857,678,297,411,364,285,798,735,
486,644,326,279,608,263,194,448,114,322,380,767,480,689,257,468,065,133,051,
844,643,679,258,564,643,672,121,870,956,836,121,946,316,333,562,808,114,559,
154,687,583,063,395,613,996,171,382,061,972,095,117,740,684,231,571,968,879,
242,187,307,358,210,754,402,075,027,246,050,891,478,334,617,094,545,610,568,
374,867,713,881,749,028,726,146,762,907,159,732,521,297,855,073,063,281,743,
525,892,788,782,334,601,056,180,525,071,226,806,604,652,071,247,526,778,532,
209,666,866,735,938,592,749,225,786,830,721,195,453,694,768,226,483,737,653,
221,199,176,576,251,469,560,325,037,548,873,119,096,664,636,397,875,652,656,
775,193,511,867,283,002,658,865,955,125,800,890,413,814,483,468,571,877,745,
970,517,061,072,475,079,442,873,320,858,036,670,814,277,730,115,070,077,683,
428,084,084,005,206,980,623,317,910,940,424,766,086,668,847,092,597,936,265,
471,567,866,483,896,598,424,505,796,863,216,950,561,368,468,937,783,705,703,
043,249,913,788,966,742,203,133,597,451,011,902,612,810,069,921,451,966,266,
775,309,806,763,178,369,762,714,570,310,956,902,683,740,478,109,684,347,645,
223,595,521,551,549,814,636,619,206,404,455,293,041,695,474,846,813,761,694,
088,779,210,615,350,566,102,491,633,151,053,090,788,542,475,828,004,014,344,
895,528,322,846,900,359,722,317,445,846,850,937,283,125,207,612,479,327,266,
608,237,891,305,361,596,044,626,898,093,208,033,332,328,790,513,535,509,944,
287,195,324,452,794,126,563,322,582,950,409,902,317,007,276,856,268,848,803,
161,853,631,560,677,894,426,043,510,619,728,864,928,207,246,816,905,059,063,
765,906,021,391,506,683,104,645,631,648,183,339,632,149,387,140,314,544,492,
813,727,053,087,918,119,395,809,192,506,007,715,177,169,303,736,635,002,435,
463,481,827,424,002,689,991,020,947,114,943,507,225,816,133,679,498,531,193,
187,074,042,759,414,498,192,622,772,373,335,291,961,378,993,597,060,049,804,
054,823,498,632,238,950,046,152,420,888,626,259,254,780,975,576,863,690,166,
084,469,011,442,164,972,688,292,469,325,358,797,463,306,066,388,410,487,415,
988,472,390,345,925,563,085,565,157,082,690,848,166,994,160,100,521,048,457,
479,023,239,008,669,944,043,324,151,505,228,096,039,451,830,847,309,436,307,
186,140,391,556,477,920,665,359,415,580,126,178,195,399,094,598,206,956,588,
975,827,415,641,047,565,198,775,964,730,302,553,272,040,816,095,183,476,297,
709,309,138,220,091,498,432,278,575,362,549,735,931,549,958,958,731,377,504,
137,814,013,688,967,144,661,042,229,616,452,898,389,609,972,261,493,172,524,
890,289,382,028,369,312,859,025,864,270,229,763,858,586,151,892,553,640,622,
504,420,500,371,280,829,817,341,276,881,273,401,801,955,853,330,170,159,887,
466,341,320,286,730,988,711,057,168,458,036,829,221,748,738,693,460,686,832,
237,546,727,936,168,447,519,354,035,323,152,615,823,556,628,148,029,065,783,
728,852,252,061,298,516,786,095,509,707,844,909,499,469,141,091,728,822,450,
922,245,405,989,077,574,048,986,820,372,861,048,306,995,316,387,347,993,079,
908,872,177,660,766,513,440,675,015,808,082,291,202,935,696,024,281,651,163,
998,356,817,777,143,806,909,597,878,027,924,783,064,939,907,291,104,508,009,
532,576,194,864,646,952,984,220,187,262,902,128,668,553,194,004,930,073,486,
646,065,590,161,650,192,742,819,402,576,964,074,527,608,261,746,196,526,400,
767,299,814,400,469,058,478,046,792,188,351,577,912,522,597,871,517,099,659,
508,210,433,194,214,415,553,904,168,136,347,641,128,584,015,079,540,018,974,
870,018,340,671,796,585,012,922,018,191,625,520,093,507,721,879,244,021,695,
799,797,334,754,577,794,391,117,420,636,878,416,238,150,245,981,194,663,690,
027,159,030,311,623,533,099,252,023,342,628,698,656,032,197,895,307,658,773,
035,162,894,451,746,656,625,705,411,794,244,126,814,400,693,771,626,182,091,
693,663,471,899,055,094,260,447,251,323,081,318,505,307,044,326,343,630,992,
675,110,810,632,945,865,468,140,449,920,512,368,906,372,048,824,773,979,353,
454,811,566,076,881,960,200,074,986,717,942,759,425,466,107,258,459,570,875,
615,513,434,793,822,258,946,901,230,094,910,417,953,641,296,143,751,608,687,
448,460,022,052,255,564,250,447,000,767,340,128,859,505,531,812,307,822,935,
116,426,813,357,682,312,252,501,680,440,444,044,148,504,115,199,088,550,053,
217,882,076,222,330,041,345,799,024,420,289,364,125,917,573,219,965,946,370,
591,784,138,394,422,622,431,164,303,364,069,940,364,800,811,261,721,174,934,
942,243,865,034,404,337,270,318,562,099,348,124,601,550,070,418,344,125,908,
940,291,743,812,968,664,635,977,102,875,196,117,393,386,342,300,461,946,112,
652,047,268,196,710,636,660,691,389,082,506,286,546,028,208,764,095,368,443,
279,958,741,399,959,519,854,783,678,244,818,926,978,609,739,050,441,733,762,
114,565,475,738,414,978,607,817,233,705,862,367,701,459,425,923,670,163,932,
241,366,493,293,048,422,274,720,143,631,399,280,512,413,569,436,330,144,367,
727,406,708,689,434,501,868,620,407,127,615,194,843,510,828,452,469,164,508,
727,660,587,133,672,685,847,827,311,862,095,026,245,788,582,002,059,961,338,
513,288,758,324,245,260,877,267,383,485,243,544,973,887,936,076,448,892,294,
072,835,022,252,112,354,662,773,922,832,697,531,613,302,934,903,906,848,750,
087,384,811,074,668,701,494,435,347,875,139,798,137,359,612,886,139,905,944,
821,644,646,924,056,062,211,974,726,652,301,494,922,941,944,707,852,706,740,
805,474,686,466,468,813,203,754,396,179,621,434,879,743,901,060,719,858,751,
870,173,917,594,688,478,051,436,169,312,291,245,405,136,695,697,324,940,277,
031,191,164,458,795,383,630,650,671,707,084,336,656,366,889,297,794,268,867,
434,891,909,570,687,986,129,236,871,764,770,360,892,781,823,006,101,730,515,
013,064,765,913,093,563,532,850,205,520,583,038,646,382,481,943,102,424,108,
459,863,363,210,155,456,120,339,417,090,345,643,109,548,016,568,009,342,604,
992,656,332,702,397,227,863,132,062,518,943,490,398,210,245,185,362,131,806,
569,677,393,482,067,118,834,548,373,066,174,159,637,002,073,707,603,971,408,
994,774,425,148,538,802,356,893,907,074,619,817,693,878,968,852,097,426,662,
238,492,521,358,480,140,947,692,279,485,252,615,738,934,540,549,602,733,282,
913,432,322,037,264,252,569,466,287,883,115,914,349,073,796,082,879,144,744,
814,896,054,432,478,419,880,065,234,518,317,244,999,818,027,714,418,985,352,
056,100,467,035,658,104,808,703,358,280,849,327,382,351,350,153,387,427,950,
914,611,688,597,221,673,137,303,010,625,508,291,442,095,006,328,697,229,691,
713,636,472,304,262,669,864,976,071,443,053,231,003,035,465,385,965,132,808,
533,304,497,644,223,563,135,264,338,268,002,913,857,514,763,085,867,342,778,
893,576,739,800,949,666,034,526,480,817,043,231,288,267,903,274,913,149,225,
202,017,249,197,856,302,047,623,680,717,526,163,392,861,532,789,031,412,867,
262,672,847,378,760,266,825,174,182,304,377,683,906,053,316,663,948,671,159,
664,067,171,662,304,817,519,195,396,258,834,606,310,090,087,335,011,868,960,
514,961,124,116,367,176,434,044,829,903,278,338,677,674,166,101,036,977,218,
182,442,771,042,540,192,610,309,902,826,939,261,895,704,969,125,130,819,305,
523,923,467,661,419,523,618,156,242,412,185,612,896,370,825,807,787,937,681,
234,336,318,263,984,691,846,161,674,292,847,167,447,204,387,316,460,415,593,
436,496,530,472,961,944,793,035,476,015,357,596,163,851,895,366,376,235,089,
607,381,689,115,471,968,194,831,811,213,976,076,035,512,753,669,865,417,633,
975,567,444,355,326,451,261,318,752,685,321,269,470,033,238,044,444,594,764,
436,339,977,569,617,707,133,444,098,697,488,469,994,065,550,658,845,422,668,
010,167,553,087,998,008,738,396,711,496,861,716,531,690,654,165,983,519,097,
088,139,128,949,675,192,571,051,182,050,856,328,546,516,400,927,300,956,351,
473,883,456,013,427,992,216,277,676,739,434,849,963,914,063,924,118,879,136,
827,041,171,920,279,455,356,371,294,208,405,395,956,902,411,179,239,655,741,
823,776,885,376,567,632,979,523,190,763,060,486,549,300,451,285,578,406,361,
540,237,377,264,941,960,926,788,740,758,911,330,282,972,138,609,868,202,833,
180,055,359,153,877,504,218,817,931,807,303,490,597,883,531,650,975,362,245,
925,990,151,922,614,277,517,138,989,888,527,676,551,234,567,821,310,302,373,
267,891,652,513,837,728,534,575,099,365,160,913,935,864,212,119,362,002,653,
050,211,743,530,210,674,016,362,194,128,746,470,984,017,160,355,891,117,051,
286,978,792,674,640,675,188,907,007,387,288,823,864,846,812,292,435,274,999,
589,646,795,747,081,264,157,455,428,672,669,954,710,897,467,046,821,556,859,
932,054,030,923,894,914,230,778,502,539,488,030,091,424,408,559,867,480,557,
383,950,947,759,570,378,521,970,635,069,661,946,921,770,002,554,540,898,782,
631,536,110,174,210,301,611,694,305,079,924,935,529,337,821,916,612,233,488,
763,913,405,168,958,353,382,408,315,896,913,287,641,012,971,350,715,315,189,
022,412,529,986,062,734,902,976,879,064,250,009,160,181,219,348,422,031,036,
353,648,740,371,106,177,237,382,794,472,265,942,499,182,932,657,417,146,162,
204,672,186,179,900,460,285,852,777,771,625,903,516,273,682,652,827,930,480,
262,812,826,647,837,269,781,157,180,865,458,995,534,730,908,776,747,866,188,
815,034,403,477,683,861,309,578,241,592,317,962,396,805,846,076,466,263,125,
061,308,078,580,670,257,441,719,494,439,647,449,817,717,387,818,976,863,322,
805,832,395,403,158,961,411,452,613,628,090,104,720,216,391,304,502,260,583,
451,633,263,470,133,340,695,293,535,260,171,804,884,679,310,909,503,426,790,
617,138,916,342,969,037,236,205,583,576,878,860,354,550,410,969,597,914,439,
722,871,635,284,018,445,711,337,351,836,912,552,105,478,696,075,171,489,728,
253,840,965,541,490,945,480,404,080,304,061,417,352,742,356,711,553,656,809,
723,381,536,972,481,122,729,777,569,237,041,690,052,237,296,462,432,256,926,
699,182,763,213,336,962,032,294,498,865,972,395,637,442,548,821,102,532,087,
717,041,020,357,247,874,975,502,371,130,406,985,354,475,546,653,250,355,064,
272,212,373,421,952,259,792,459,635,989,690,226,786,649,120,818,485,204,306,
286,446,224,783,030,986,149,834,670,989,532,697,872,832,308,677,318,019,245,
687,437,538,485,801,009,503,320,129,713,048,858,451,088,588,934,856,824,185,
866,472,913,580,967,547,442,012,529,963,538,837,549,067,305,028,473,963,305,
364,046,119,448,345,325,660,407,717,331,951,278,293,946,747,812,194,933,023,
580,265,867,113,853,600,787,490,153,199,707,720,277,700,979,915,283,384,519,
014,284,794,374,408,561,043,629,884,434,331,753,677,135,998,746,668,289,911,
453,782,573,598,277,521,298,778,752,307,237,041,018,553,172,583,478,649,930,
670,012,164,196,914,921,695,554,503,328,259,983,361,187,807,128,304,501,511,
313,286,277,589,708,205,591,991,603,736,009,747,300,233,004,084,709,836,382,
118,798,047,503,062,514,482,361,202,832,913,790,579,408,367,239,856,970,811,
794,284,690,944,349,461,163,130,418,845,827,424,971,656,624,850,436,230,443,
493,422,477,074,353,101,427,231,148,268,788,576,648,523,496,921,146,048,035,
169,405,070,064,658,006,728,284,968,255,055,894,006,785,083,495,462,861,309,
846,876,336,113,402,386,605,131,259,419,913,219,055,731,727,262,784,596,311,
839,083,205,151,334,498,164,507,770,847,957,046,734,401,197,899,172,712,075,
610,385,399,442,787,386,539,358,128,082,978,875,374,583,439,729,260,588,556,
896,099,041,668,653,748,963,774,075,151,452,807,204,592,477,780,824,254,941,
888,834,421,003,293,889,196,848,322,725,406,089,187,045,587,263,768,815,451,
199,708,709,078,410,016,761,027,457,973,104,479,506,219,825,684,622,647,210,
292,377,334,787,850,141,969,327,107,845,965,826,495,979,644,705,485,411,959,
363,927,605,586,993,415,370,195,390,730,740,228,551,833,214,030,424,773,365,
841,024,006,052,949,395,945,311,225,008,742,872,346,149,746,899,302,338,410,
985,189,590,057,633,235,034,255,093,592,428,918,041,298,258,203,714,675,167,
916,048,186,803,073,433,205,420,077,656,938,956,046,352,084,036,786,965,180,
371,763,152,882,384,602,576,144,978,882,447,901,775,028,369,788,579,511,668,
595,232,765,278,408,228,071,961,650,674,494,160,497,885,515,629,564,775,826,
800,901,451,384,433,488,523,367,450,893,111,007,682,122,035,913,543,354,573,
091,276,111,092,138,042,051,773,444,333,947,054,153,666,932,925,258,800,994,
219,925,472,985,283,124,525,696,524,938,772,720,224,390,188,678,931,299,210,
819,588,588,578,389,965,452,471,761,252,922,408,909,887,167,900,576,313,044,
662,088,461,821,455,887,003,370,443,237,230,666,767,943,873,130,145,817,854,
477,149,298,283,203,784,729,420,050,965,336,723,663,921,601,661,743,375,838,
274,425,340,063,619,200,994,562,309,986,398,593,894,371,857,599,108,059,974,
466,778,222,682,699,168,465,483,680,808,379,129,235,633,795,558,863,351,419,
265,588,800,823,863,307,297,389,063,891,776,764,757,448,485,654,555,644,990,
266,396,774,325,078,423,924,349,334,644,716,257,943,781,185,492,869,123,225,
877,158,579,172,361,774,060,606,206,799,072,126,870,735,568,731,972,602,905,
255,048,206,714,172,591,093,547,833,857,985,719,231,244,722,219,282,770,335,
402,678,258,482,900,950,576,337,516,371,449,165,715,151,774,532,844,183,799,
967,736,949,648,046,126,529,940,686,535,685,908,397,200,748,602,896,615,949,
628,986,256,835,913,029,441,989,339,537,543,129,663,712,779,240,910,525,271,
931,532,425,291,395,572,327,509,276,693,700,310,847,706,152,699,319,680,852,
154,711,538,096,372,777,772,041,905,226,288,116,404,879,168,385,686,785,155,
108,416,092,134,695,669,202,229,651,997,161,355,513,777,507,799,847,189,735,
436,812,399,708,737,712,012,433,149,687,922,652,628,212,751,092,201,286,508,
613,594,876,199,652,995,370,690,023,869,430,739,259,684,158,237,283,592,038,
703,143,672,109,791,524,454,459,222,558,543,081,718,848,811,598,919,863,791,
688,579,580,589,459,613,967,265,505,729,886,038,837,933,580,187,924,549,228,
352,018,990,387,377,170,850,888,737,822,936,468,331,436,184,512,781,832,784,
824,781,552,751,722,206,191,371,522,082,005,395,024,575,815,487,045,064,595,
459,020,791,184,460,708,262,724,276,519,470,196,741,217,122,231,643,564,681,
267,770,642,130,719,412,175,310,213,826,414,590,309,952,543,003,305,936,786,
429,040,235,480,096,445,915,821,244,570,181,213,441,548,809,658,823,947,250,
957,997,387,381,339,467,752,497,962,639,950,098,891,067,564,079,969,527,663,
744,442,826,623,811,069,215,884,312,845,267,254,678,638,758,001,369,528,792,
242,475,788,761,995,689,464,699,252,677,909,125,324,815,158,869,990,095,856,
223,486,168,793,425,172,088,024,422,120,267,250,998,278,586,718,313,077,117,
864,510,345,967,214,239,608,588,338,082,759,772,659,180,474,296,749,468,408,
481,036,464,076,809,943,082,010,159,370,024,032,177,876,792,489,013,470,237,
743,582,347,572,731,946,791,068,587,074,211,288,097,228,638,137,191,621,072,
502,051,595,694,838,930,406,506,167,080,822,832,134,877,798,261,553,946,740,
160,978,818,560,005,992,586,522,052,318,963,888,488,719,022,601,205,963,800,
586,528,531,498,942,503,179,875,713,380,523,147,300,200,141,162,915,433,908,
951,674,832,046,592,120,318,262,613,409,103,679,250,420,825,876,531,695,163,
512,052,545,689,554,163,223,530,778,706,224,306,581,977,290,361,099,807,733,
605,104,149,265,577,214,129,402,655,195,851,063,621,565,509,691,439,986,190,
929,860,788,635,963,723,664,639,929,753,774,008,799,243,561,836,106,177,678,
320,883,650,812,170,086,814,826,962,740,107,591,157,383,500,130,716,177,044,
335,527,732,763,409,344,895,850,080,944,930,664,478,057,074,023,924,839,960,
604,580,280,311,810,733,155,709,225,340,109,694,502,216,764,263,009,247,034,
608,075,862,670,087,778,112,006,819,995,921,887,548,292,281,274,997,101,769,
837,864,325,002,639,055,887,383,907,803,437,939,743,919,236,047,508,661,335,
293,231,277,681,822,602,725,426,268,253,985,984,056,320,411,165,717,050,243,
677,032,458,391,133,317,247,512,339,550,851,177,935,629,053,627,809,129,174,
364,382,629,519,020,767,574,620,791,970,926,885,683,122,703,913,215,201,640,
823,185,568,064,706,777,379,980,923,900,893,826,751,930,428,132,168,443,031,
988,244,505,331,474,504,151,468,671,515,025,157,159,317,457,076,773,051,790,
066,637,586,906,438,140,605,440,533,261,393,700,163,904,019,976,787,532,254,
792,720,190,459,588,722,900,182,008,993,441,793,171,904,489,301,636,771,447,
383,390,945,741,426,277,813,849,416,652,783,009,715,730,519,133,050,530,525,
936,584,361,864,174,861,956,047,455,942,727,584,190,536,316,628,322,483,133,
687,937,758,913,018,263,608,730,128,709,515,381,648,822,429,209,359,367,955,
303,304,684,191,595,428,283,462,257,811,967,394,266,509,611,536,764,478,982,
021,791,604,644,555,602,332,105,695,355,849,027,865,753,804,057,925,987,957,
464,215,743,997,871,588,314,709,579,319,643,176,876,559,956,353,576,766,144,
588,199,727,524,242,871,510,389,101,369,267,599,484,860,309,487,665,539,402,
332,670,282,364,044,665,095,903,950,577,042,021,372,565,118,079,636,430,434,
737,091,506,208,761,075,100,545,557,990,899,679,111,054,678,673,073,538,551,
540,567,723,967,852,680,270,244,558,081,101,548,667,394,832,731,899,693,507,
707,932,055,878,389,111,904,042,742,761,981,340,990,416,066,999,154,808,030,
906,125,670,081,603,454,911,464,703,380,702,782,093,916,208,679,073,086,478,
374,242,383,926,913,669,216,993,132,157,131,455,763,383,277,466,511,109,810,
163,936,929,118,901,813,898,029,599,219,861,352,117,363,533,879,623,561,209,
582,348,623,290,891,595,463,365,190,746,939,314,934,826,151,879,190,733,888,
155,354,329,687,444,838,434,243,019,821,254,641,238,236,748,509,443,808,970,
373,470,501,547,226,671,142,729,889,738,809,995,515,630,763,839,006,326,844,
839,727,555,324,749,891,218,020,769,405,955,407,569,806,215,042,647,338,275,
762,906,832,553,657,879,521,682,365,097,215,208,570,652,730,043,034,081,559,
272,833,190,164,249,947,826,259,449,859,458,638,565,388,618,836,431,159,918,
056,537,642,631,192,976,044,419,664,344,794,592,692,647,114,746,703,418,728,
591,996,009,913,351,939,133,168,466,765,696,692,014,437,142,461,436,113,598,
174,260,676,436,086,825,305,253,853,661,823,401,126,295,957,146,269,785,646,
408,353,004,428,890,917,659,806,815,053,199,952,469,297,736,302,785,264,042,
684,591,143,059,397,336,014,196,926,218,547,699,615,106,995,776,510,140,795,
974,707,916,708,312,069,988,738,442,223,683,599,539,176,508,043,643,439,724,
577,938,479,489,319,892,561,650,354,756,478,009,720,499,415,662,906,331,094,
158,895,757,766,773,231,659,359,580,092,806,013,649,986,208,628,971,533,851,
002,200,788,006,289,988,776,460,133,462,403,761,249,784,320,159,092,067,512,
792,155,293,442,761,115,881,827,974,215,835,659,687,232,123,773,072,803,182,
126,343,730,825,562,379,904,216,597,039,590,235,996,969,361,740,148,100,986,
556,458,821,516,190,743,059,949,774,382,096,204,006,389,298,990,320,884,044,
611,761,393,329,928,010,053,603,460,365,644,783,432,838,071,385,444,818,343,
005,631,287,608,244,026,313,412,453,592,683,160,588,963,050,801,224,915,721,
142,402,293,856,305,956,189,983,791,062,816,763,859,411,568,558,765,998,319,
886,490,591,223,447,820,039,856,886,145,158,394,294,235,388,041,912,526,728,
228,847,216,331,140,541,150,821,042,956,786,276,374,701,394,856,642,325,240,
526,695,902,159,352,617,685,938,938,604,957,883,569,793,139,565,631,938,196,
904,950,382,914,066,417,716,719,361,149,443,886,161,841,531,240,581,467,520,
424,063,755,083,499,910,635,837,408,705,633,463,689,958,885,876,691,712,862,
934,558,579,286,878,788,464,404,628,072,268,158,502,152,673,862,650,148,783,
255,275,057,499,296,563,091,333,844,704,228,184,519,882,750,735,174,571,419,
749,990,760,510,664,309,832,471,405,574,584,360,278,510,105,651,307,406,419,
070,531,313,232,851,916,132,586,362,712,813,424,251,322,409,943,093,574,788,
806,425,665,876,174,329,617,601,984,262,699,266,330,482,274,259,361,818,245,
652,646,148,153,359,886,397,476,655,326,518,712,730,602,225,517,935,865,925,
225,040,904,277,042,230,539,395,920,287,584,852,181,522,741,252,381,860,939,
474,161,388,309,076,582,475,191,918,840,425,545,438,421,897,844,670,722,276,
369,223,770,590,865,928,611,985,995,641,304,169,399,417,735,355,789,512,825,
357,698,242,252,581,284,101,879,068,797,327,419,403,633,592,778,133,749,754,
938,395,138,355,176,943,566,495,398,032,609,095,854,215,199,970,484,949,549,
552,002,024,454,903,337,444,022,808,564,567,214,917,067,012,373,166,336,124,
862,674,552,401,328,169,045,882,295,442,099,577,249,142,122,456,269,630,000,
302,480,581,817,166,706,757,564,883,059,903,841,133,098,933,735,924,922,822,
733,790,134,704,377,730,198,379,311,788,213,075,163,811,657,471,528,781,427,
916,747,401,338,405,094,480,665,106,140,121,719,842,361,763,513,091,102,139,
044,976,819,928,075,059,787,366,572,383,789,944,521,710,591,952,491,016,852,
616,475,864,011,561,869,933,171,534,175,137,039,373,760,611,731,300,799,667,
172,446,413,450,072,909,655,302,636,771,427,623,335,963,364,416,839,802,186,
719,183,581,529,417,371,964,153,952,100,128,545,978,194,282,589,059,378,406,
889,111,699,815,494,237,867,500,159,395,261,617,026,579,943,598,899,178,347,
407,838,866,002,315,099,639,161,496,575,891,459,862,951,779,225,771,963,407,
628,225,481,329,345,970,303,625,432,827,446,690,760,908,062,252,856,797,264,
754,844,780,229,874,255,499,631,381,900,142,970,647,109,924,554,394,928,472,
674,934,297,758,014,745,336,508,038,658,610,044,345,760,049,377,117,513,817,
333,070,708,754,093,893,588,632,277,272,355,325,446,268,203,221,870,019,689,
870,558,375,503,625,450,601,859,859,751,087,776,021,725,001,396,135,287,894,
445,403,503,203,375,050,753,101,627,814,587,207,225,558,040,689,216,852,665,
084,146,481,793,610,464,228,793,132,035,180,193,581,203,021,340,569,942,410,
480,403,439,146,966,430,308,010,819,829,576,024,243,935,038,568,613,110,896,
535,762,879,810,994,996,614,799,958,738,143,424,566,821,405,539,233,763,986,
165,479,484,192,606,463,363,452,286,196,222,375,842,823,405,515,852,985,851,
446,765,373,598,861,942,749,046,129,542,235,543,867,269,198,565,343,646,313,
276,341,578,935,091,175,628,785,151,302,606,446,173,707,188,599,447,657,531,
214,139,477,809,079,298,316,382,323,563,979,446,412,829,070,229,074,070,606,
130,994,087,134,141,883,465,091,005,112,346,401,852,052,597,881,551,510,093,
718,371,264,043,410,622,408,590,850,809,720,717,432,224,480,944,236,709,533,
874,711,671,513,928,162,304,284,523,943,395,173,392,408,239,164,331,250,518,
598,777,486,012,610,987,495,036,544,026,031,807,674,278,698,253,578,610,868,
859,240,082,866,084,010,542,605,892,134,840,347,609,127,518,254,203,490,713,
581,592,414,844,326,195,968,124,856,839,597,717,587,792,516,684,110,172,093,
989,930,682,023,567,520,548,582,333,517,460,726,017,092,080,711,243,537,674,
286,887,518,074,320,881,842,878,580,146,827,103,092,083,454,761,830,700,442,
320,564,388,793,496,751,224,947,252,889,543,812,610,688,957,659,591,090,661,
608,947,601,377,636,653,144,434,963,207,371,414,042,995,407,587,114,747,586,
032,478,614,847,059,636,721,485,646,566,057,777,945,444,120,856,818,371,220,
403,376,679,991,885,784,330,675,090,869,848,293,847,287,035,737,977,971,879,
492,921,303,449,193,916,800,803,478,407,898,915,170,444,471,394,093,017,412,
458,573,636,138,387,224,806,384,293,599,634,167,756,373,145,683,089,252,732,
609,093,010,147,071,141,044,599,352,341,852,040,225,861,151,635,633,819,092,
169,368,078,964,516,247,273,019,066,301,083,615,920,133,206,859,465,374,269,
900,497,278,108,813,077,454,631,649,355,740,912,219,584,411,570,050,953,005,
864,234,010,705,685,389,510,648,396,490,842,446,191,262,368,112,776,387,759,
628,931,879,859,810,030,720,740,881,859,103,408,988,521,838,749,988,108,144,
670,707,687,743,994,463,839,221,238,680,455,700,141,433,142,426,282,165,122,
253,470,736,426,301,733,405,452,684,482,534,357,039,743,253,759,937,035,721,
850,301,876,672,825,675,281,096,290,648,056,416,732,089,545,847,208,477,796,
820,439,060,947,280,660,253,128,205,290,918,060,463,376,081,906,926,001,239,
362,507,100,768,263,956,347,037,997,793,843,696,036,243,656,511,376,725,165,
158,074,686,761,176,992,196,504,165,246,999,070,022,018,184,763,888,375,294,
293,022,331,608,481,889,542,893,530,143,553,584,631,957,779,586,323,430,359,
776,786,430,677,876,132,054,889,514,700,358,153,384,088,358,835,406,254,113,
467,548,280,982,037,638,475,261,399,715,071,698,870,589,877,226,606,639,630,
153,746,743,061,285,947,221,404,468,931,220,365,851,251,014,127,412,661,458,
545,718,088,028,155,036,937,790,886,779,210,914,062,033,628,769,977,697,712,
924,822,944,003,637,993,160,041,371,109,855,941,758,588,562,668,186,088,483,
026,103,184,672,544,519,137,589,571,242,062,341,955,649,526,009,247,393,414,
639,060,802,088,975,532,387,781,607,659,906,463,521,242,037,664,709,787,344,
733,789,264,198,332,665,075,622,872,131,168,347,025,459,564,481,724,148,604,
671,141,985,569,743,307,776,138,925,490,623,149,418,408,746,506,153,393,229,
224,739,190,612,181,784,187,829,049,002,997,877,566,454,729,675,669,812,023,
355,979,618,970,604,583,610,708,109,355,503,854,612,180,893,906,496,097,664,
221,664,610,760,956,850,769,314,451,333,954,885,909,594,188,705,982,044,639,
620,412,565,939,777,507,338,414,784,778,981,129,175,437,984,984,629,118,047,
695,307,327,527,477,875,949,780,393,269,519,160,243,264,246,909,204,866,036,
139,505,797,104,793,809,669,078,767,918,320,408,045,283,663,558,466,349,370,
935,853,438,459,884,670,162,015,255,240,024,004,670,489,431,720,797,127,875,
929,460,216,703,227,268,590,884,370,532,232,142,055,137,661,038,697,419,804,
805,259,121,460,179,080,272,822,350,528,043,960,165,119,085,096,084,114,843,
230,378,879,588,957,652,697,062,876,204,135,212,217,111,339,432,433,460,041,
011,151,394,490,737,986,689,601,376,179,446,905,469,824,333,900,559,481,014,
983,064,266,850,382,572,572,947,140,912,207,513,385,804,787,191,733,142,747,
145,744,999,420,639,548,329,310,245,730,299,950,120,716,563,867,585,510,801,
193,236,253,008,420,697,990,487,213,703,808,344,855,600,687,141,816,960,040,
111,537,147,302,566,537,018,266,902,007,247,294,644,543,037,856,212,769,570,
929,024,691,019,930,854,103,811,004,027,074,745,776,353,744,137,279,309,294,
492,946,628,723,904,053,224,966,663,416,543,796,815,671,245,881,742,179,011,
040,483,652,924,342,447,139,691,419,474,919,030,277,845,654,252,307,009,545,
458,585,379,544,025,971,171,799,414,222,643,808,954,481,267,301,019,466,219,
349,426,670,961,307,521,803,387,743,751,526,822,227,384,601,037,877,094,331,
876,853,478,899,574,140,713,069,377,498,809,058,829,963,728,075,817,023,693,
299,779,050,112,635,828,574,466,875,238,106,402,381,757,359,315,263,033,117,
626,214,503,373,883,573,656,308,211,727,121,185,717,233,777,264,609,988,456,
136,338,336,287,349,775,294,532,168,671,169,546,071,066,150,253,199,974,024,
477,812,948,965,982,332,139,914,711,371,488,452,370,696,227,941,918,353,874,
184,948,150,575,716,152,905,634,271,772,351,788,738,862,279,833,212,668,580,
662,092,751,166,977,362,307,625,089,641,762,233,834,515,868,185,980,039,756,
593,274,271,844,565,514,472,551,404,786,586,940,981,494,160,969,388,890,025,
597,171,834,138,915,652,380,341,404,993,411,170,616,893,186,136,106,130,137,
074,620,530,315,432,050,198,537,991,611,877,354,058,077,182,335,078,937,711,
191,136,973,962,418,705,309,161,788,306,973,134,603,531,343,362,062,450,055,
789,348,789,624,661,245,596,189,635,234,041,383,052,542,003,173,850,548,393,
152,711,192,715,576,298,067,158,973,325,650,359,346,629,850,819,246,189,955,
259,576,879,721,781,285,526,818,020,579,146,645,689,169,815,327,588,106,400,
701,397,281,570,672,546,249,961,815,903,887,486,287,045,211,918,403,500,424,
065,639,482,888,162,746,287,736,654,074,132,552,240,466,894,259,481,686,791,
530,682,260,647,442,041,975,656,200,168,767,624,854,344,373,389,876,715,488,
576,489,338,707,053,484,658,824,553,015,630,961,858,974,494,245,718,107,409,
301,463,596,163,871,231,362,582,717,935,545,842,976,738,105,048,210,637,532,
739,120,574,144,385,398,825,212,377,040,614,005,370,868,725,347,352,575,306,
689,846,045,276,844,370,093,409,305,329,581,179,414,409,738,778,431,491,107,
077,183,777,730,649,573,511,399,761,474,668,770,278,292,579,019,694,261,858,
860,344,363,400,862,311,707,214,076,514,164,608,498,975,650,806,712,211,140,
851,590,070,129,030,347,094,066,734,644,993,623,182,178,697,604,115,456,032,
601,587,087,110,939,160,915,914,551,298,434,695,147,090,756,020,463,236,800,
261,151,375,455,710,697,345,063,071,872,828,077,909,299,866,341,427,095,456,
854,896,589,637,396,927,281,123,785,006,460,882,981,663,291,103,134,687,004,
883,586,275,240,019,757,443,748,626,943,530,125,887,298,137,507,400,550,252,
434,360,663,116,146,390,795,458,076,917,089,188,641,450,790,602,316,974,732,
992,366,984,351,946,873,212,312,084,887,920,900,827,547,285,455,058,658,928,
812,277,082,860,457,075,836,029,441,036,167,290,822,775,059,478,342,905,798,
043,227,925,422,829,546,464,108,940,564,715,151,367,590,384,427,117,400,130,
249,861,419,087,104,446,757,261,092,263,967,115,413,059,957,285,302,499,747,
932,516,708,803,543,622,100,643,121,317,765,333,666,214,153,799,463,594,023,
181,225,406,163,643,093,763,881,015,184,854,306,469,780,227,217,142,158,704,
610,102,762,126,644,115,805,133,899,744,717,723,132,325,006,541,319,889,497,
894,128,869,539,336,413,548,120,235,683,758,402,061,785,906,329,784,073,970,
477,310,946,068,227,135,842,808,848,166,799,993,127,822,981,482,190,671,358,
960,196,255,815,984,973,326,816,400,853,846,804,679,599,276,781,355,035,218,
923,572,569,571,665,203,017,203,616,237,377,208,821,299,491,007,864,987,891,
232,647,755,846,715,373,865,927,269,550,900,291,841,280,346,094,700,542,960,
324,262,376,169,963,432,683,157,942,823,300,656,311,422,174,511,378,895,121,
213,286,048,332,739,497,129,639,400,654,829,458,140,098,440,003,961,838,405,
707,089,872,043,748,991,554,108,728,547,885,147,457,402,528,914,904,749,421,
091,546,952,696,669,315,664,163,001,940,650,781,058,103,851,423,237,990,602,
349,010,092,736,938,682,736,974,133,030,859,568,130,683,100,464,055,908,040,
113,335,688,486,563,546,192,682,960,860,535,938,254,443,122,184,818,435,247,
341,238,268,711,790,438,526,652,922,740,547,583,076,350,103,810,912,279,235,
856,399,860,949,626,513,458,344,596,499,075,525,549,321,954,595,277,466,393,
402,152,779,335,930,278,770,552,165,864,784,362,932,712,333,205,685,454,528,
688,055,066,290,209,907,958,998,941,984,561,687,489,750,511,069,615,416,529,
636,820,463,522,843,608,824,639,370,780,094,535,015,960,535,848,881,360,515,
206,008,152,954,612,267,017,445,210,031,014,720,579,925,896,547,127,149,028,
754,926,356,754,328,688,117,607,341,500,046,120,211,299,193,517,281,343,052,
713,153,792,910,781,425,777,328,415,211,269,052,372,040,670,063,736,227,922,
308,930,779,422,739,688,425,119,692,951,662,310,249,600,882,029,038,508,037,
730,034,873,883,179,822,892,922,956,583,773,397,528,351,441,418,411,753,019,
283,491,265,629,646,466,719,741,410,142,138,386,182,489,400,124,732,143,191,
981,115,865,654,542,449,720,922,043,117,208,956,348,080,143,216,340,112,174,
093,846,065,160,005,036,039,808,649,612,103,246,563,235,632,898,770,965,717,
383,783,796,626,664,422,529,991,750,092,511,202,247,859,910,856,255,890,994,
792,901,527,116,741,722,731,524,424,505,451,980,862,197,415,895,945,881,104,
752,543,418,729,261,267,873,194,124,870,048,027,850,539,093,535,974,172,756,
304,271,713,908,169,754,068,889,325,096,260,106,067,128,016,691,812,763,544,
666,182,083,725,821,069,084,186,544,807,334,351,575,925,146,747,944,858,059,
203,464,261,638,633,340,668,599,107,523,859,058,911,656,065,209,472,134,309,
716,117,494,292,232,988,417,649,619,865,987,758,311,414,123,022,241,235,775,
498,084,657,649,517,060,178,110,324,937,440,690,776,505,554,956,524,595,409,
274,620,794,298,109,033,300,721,643,355,106,295,525,305,066,925,485,393,888,
855,393,637,486,814,274,886,397,731,005,779,290,263,728,251,604,265,214,588,
124,400,413,451,355,797,214,626,142,667,908,865,403,557,464,368,251,676,965,
917,179,258,322,010,178,661,082,021,731,031,870,422,932,772,239,495,255,174,
980,775,268,934,444,431,035,361,823,995,561,411,537,793,109,800,630,839,420,
058,877,493,657,537,043,867,595,150,288,440,169,286,868,913,501,827,420,680,
925,768,596,839,645,557,867,255,585,248,005,120,982,930,031,525,364,736,691,
897,627,658,343,237,687,284,626,547,249,369,944,091,601,239,928,208,003,493,
653,672,369,684,567,723,731,663,633,455,696,871,089,876,833,275,577,406,041,
410,965,510,159,933,565,494,562,423,765,477,246,921,795,292,540,033,634,674,
821,167,426,244,623,023,458,345,350,573,413,605,836,071,312,725,075,615,554,
351,448,381,977,269,102,106,481,460,846,563,169,354,263,405,690,746,412,421,
040,454,935,051,765,517,416,447,358,493,131,590,389,810,294,305,252,326,743,
915,209,288,758,614,697,653,484,059,831,621,333,052,656,300,796,017,241,096,
697,247,831,563,907,434,695,825,472,561,684,234,533,821,992,924,443,725,960,
404,278,948,481,114,983,246,224,945,665,719,435,165,419,827,153,930,383,283,
588,829,912,185,813,225,946,232,382,464,658,620,557,794,966,385,273,884,796,
076,254,574,172,141,067,689,211,852,842,927,023,564,208,159,305,682,490,441,
926,044,901,472,110,181,757,147,009,556,348,115,393,469,538,152,161,528,569,
210,742,311,146,630,530,134,466,437,916,298,025,381,227,404,885,254,252,165,
685,500,512,352,133,306,672,776,862,597,952,146,098,132,076,156,351,760,185,
038,232,480,942,082,755,886,431,781,278,700,452,664,125,763,663,886,869,064,
208,970,626,276,753,237,358,624,774,699,220,871,702,593,720,806,438,601,109,
774,811,153,696,324,355,041,900,443,753,271,952,925,668,672,471,272,964,889,
987,841,365,498,609,019,412,618,390,241,806,860,560,743,307,703,893,005,105,
035,247,312,351,925,723,094,728,658,482,992,304,698,955,082,303,626,479,746,
062,195,458,655,530,728,795,897,893,611,394,289,400,840,880,089,508,790,382,
290,106,175,151,903,483,445,624,425,528,194,859,329,034,768,698,812,435,735,
608,389,867,170,475,896,459,394,063,437,219,302,281,886,149,276,619,636,152,
426,126,978,350,765,808,811,009,366,118,042,344,291,690,331,560,060,540,826,
429,097,746,199,671,627,110,479,804,989,758,694,780,018,080,426,505,564,260,
100,757,202,701,471,798,751,768,009,608,211,887,752,643,218,469,432,070,320,
228,417,290,485,767,395,389,668,950,300,586,130,751,005,507,843,989,608,401,
522,493,750,570,484,338,214,112,470,630,889,312,558,602,996,637,809,915,072,
957,213,828,692,079,170,986,850,095,559,040,869,639,372,207,478,971,189,121,
001,662,772,124,573,354,766,206,910,447,909,523,784,028,265,312,030,662,016,
886,145,646,816,930,447,790,658,751,113,347,289,271,623,176,087,752,399,839,
406,556,951,709,122,847,205,103,195,989,969,930,426,506,941,565,098,716,182,
355,009,816,618,841,085,209,558,066,260,230,252,873,653,186,872,972,608,627,
077,322,179,185,180,348,543,276,182,588,134,668,693,547,249,870,121,512,995,
264,569,240,864,432,575,255,070,543,915,735,013,115,240,471,064,574,521,722,
083,174,952,960,590,011,955,732,901,488,231,241,436,462,295,073,297,942,574,
895,035,106,643,344,198,447,537,133,823,148,656,642,406,370,447,608,158,117,
891,350,096,715,672,308,299,557,276,608,612,414,808,029,656,717,865,381,938,
752,472,357,331,919,521,899,969,223,524,486,011,218,873,171,138,456,393,471,
995,282,893,784,775,156,761,546,426,668,992,370,317,090,969,495,958,801,166,
910,211,974,678,563,726,045,618,183,901,427,052,846,144,248,946,970,721,581,
356,750,209,270,596,866,252,609,987,166,524,376,024,274,739,692,279,703,040,
558,607,912,303,438,437,686,161,638,428,972,870,215,890,484,457,281,956,591,
552,352,668,198,325,771,241,452,655,434,016,819,366,674,978,608,782,768,011,
188,125,011,521,526,339,871,432,013,008,097,849,741,631,368,004,310,757,936,
965,219,078,348,510,969,138,741,412,623,086,701,452,845,242,693,855,575,476,
127,259,379,441,183,464,745,078,329,448,540,776,194,171,330,092,463,036,337,
512,830,570,660,345,515,486,173,743,068,954,552,184,462,629,155,382,256,236,
332,038,080,160,274,868,866,143,476,003,692,141,542,612,228,159,325,942,529,
407,948,620,800,491,300,884,786,185,783,839,445,840,941,473,873,289,987,875,
792,716,880,801,750,127,496,598,090,720,534,174,491,092,926,577,768,985,705,
010,145,113,884,742,403,448,243,680,443,172,753,875,963,250,620,303,880,163,
324,711,127,477,235,284,168,795,511,938,411,535,324,493,645,155,520,156,651,
076,121,369,041,298,971,734,461,636,839,787,602,473,566,470,509,245,341,244,
912,231,729,900,687,683,336,825,919,648,921,712,764,383,625,411,665,240,258,
462,954,789,462,584,810,103,540,368,853,245,443,109,250,476,449,114,622,349,
065,461,926,034,846,658,509,530,080,059,293,380,458,729,274,573,402,039,713,
955,924,102,713,219,323,635,578,010,616,139,260,329,579,250,501,610,078,402,
927,222,218,348,134,903,410,528,532,536,348,587,519,024,849,086,902,139,745,
107,436,576,439,759,217,053,748,051,255,485,433,159,214,360,677,823,881,008,
387,925,025,532,210,762,028,091,982,796,628,157,873,830,232,149,823,873,124,
977,804,230,501,236,574,689,078,527,053,110,187,676,291,026,008,831,613,983,
194,980,834,363,642,337,577,564,773,147,416,164,099,270,002,193,132,952,551,
470,988,955,127,710,083,826,331,113,389,471,250,516,118,526,239,894,994,599,
251,954,135,921,612,756,147,737,663,502,310,787,806,470,952,380,318,996,037,
958,593,329,841,525,773,331,747,869,558,489,045,425,473,635,509,575,921,660,
344,029,556,909,807,706,642,865,847,980,440,466,457,177,884,447,843,746,314,
815,086,402,353,146,903,793,230,224,142,218,060,455,774,969,811,531,113,547,
111,512,584,332,780,068,929,884,533,098,138,588,952,917,008,879,914,803,986,
179,797,406,950,115,129,345,308,516,721,932,977,615,862,919,942,009,766,036,
933,487,730,157,900,008,574,525,624,126,206,175,693,510,711,452,170,858,308,
648,687,645,443,559,805,931,517,372,704,947,624,183,454,579,548,472,293,420,
211,598,414,875,895,328,905,678,617,289,614,074,964,057,271,231,857,992,113,
285,864,597,441,724,097,385,391,691,236,473,974,374,827,520,858,764,029,628,
000,368,648,934,091,845,474,447,962,492,606,997,851,461,095,659,708,939,112,
965,479,438,144,528,494,738,750,375,187,558,493,990,218,328,874,281,483,244,
107,837,245,466,912,777,487,675,325,769,063,991,225,897,930,326,310,579,932,
652,353,437,032,419,278,041,422,845,427,955,219,944,871,480,112,046,016,787,
800,000,627,028,212,990,787,857,770,030,137,830,438,868,483,137,619,502,978,
952,501,918,909,877,448,353,222,294,378,778,681,164,331,492,574,381,002,835,
541,660,761,186,065,336,554,925,859,441,480,428,139,159,086,904,692,499,791,
003,673,388,901,882,003,674,568,291,847,599,540,502,686,981,892,355,763,158,
065,837,943,864,419,553,730,284,973,380,864,918,967,915,690,673,880,052,631,
826,660,655,592,173,798,697,995,294,608,319,725,492,516,007,177,865,649,683,
661,200,239,898,258,116,051,408,057,009,951,042,617,854,058,508,321,480,886,
346,642,581,261,005,597,276,996,068,548,489,489,802,021,198,082,365,605,886,
263,479,656,201,939,593,978,272,474,314,431,910,923,893,052,934,819,759,822,
163,230,174,187,761,078,212,326,659,477,423,716,089,193,952,856,373,424,458,
839,072,264,512,525,923,608,446,862,670,832,928,822,591,897,102,144,326,054,
516,929,565,780,232,099,968,093,687,540,523,987,226,875,027,961,561,851,715,
231,525,516,182,936,486,167,169,403,455,611,040,010,550,269,669,425,405,046,
983,450,169,329,443,702,997,095,818,649,555,371,711,869,160,600,421,214,272,
971,265,167,136,792,342,427,861,844,935,623,930,683,927,089,867,567,960,958,
901,165,022,407,675,019,839,048,556,100,691,683,225,238,930,492,560,874,973,
583,709,077,287,059,430,549,237,829,668,185,483,111,990,850,438,243,582,868,
338,162,422,690,735,160,428,841,228,669,225,804,072,358,119,372,276,771,494,
463,288,871,895,230,659,313,710,793,305,125,600,742,849,932,070,454,902,397,
033,780,072,261,181,045,396,685,407,393,906,544,204,165,121,563,622,056,281,
267,823,424,764,297,619,199,211,429,280,186,566,184,449,242,772,134,629,956,
880,913,471,332,993,963,378,251,390,336,260,967,850,899,313,156,311,052,404,
853,291,683,896,424,181,070,486,505,184,962,506,219,695,011,231,036,259,614,
589,008,928,099,540,671,636,935,209,520,847,175,770,664,912,868,205,972,801,
293,990,040,634,463,680,565,260,653,888,740,680,507,188,965,694,217,978,112,
396,187,546,327,649,633,360,785,558,913,190,022,631,797,635,854,644,179,730,
003,689,585,861,654,107,703,952,670,284,269,037,152,785,889,117,460,344,172,
900,468,476,717,258,228,091,281,041,255,934,916,980,265,553,831,618,429,181,
777,674,305,937,997,054,185,921,240,457,925,073,515,312,722,421,673,053,684,
767,821,414,941,924,190,199,033,091,931,459,565,090,701,763,955,667,840,020,
476,534,639,043,290,514,781,498,319,890,937,424,087,391,772,114,354,785,190,
629,785,014,934,796,374,928,664,403,926,787,993,515,096,973,331,774,182,528,
670,949,258,964,346,292,824,682,908,728,339,198,498,997,265,690,330,830,735,
313,010,699,781,832,725,911,372,670,055,613,925,908,938,272,562,776,045,356,
449,044,385,603,515,065,379,803,238,782,780,765,882,140,657,689,218,074,716,
367,570,036,507,795,931,452,807,405,379,837,577,935,108,044,220,097,640,146,
277,714,781,821,267,790,325,268,927,143,185,363,302,582,658,187,928,766,608,
111,835,608,315,775,923,800,047,583,340,296,338,804,380,345,720,868,810,827,
391,505,674,780,434,957,881,518,483,829,802,927,754,677,971,888,383,003,442,
688,851,591,998,816,119,517,341,483,939,887,933,633,766,301,530,769,033,201,
788,014,580,929,329,038,422,226,230,386,596,718,491,203,748,426,177,687,988,
163,029,828,830,572,506,710,478,250,663,713,638,087,256,322,688,976,924,442,
158,758,902,373,923,319,731,248,922,984,905,481,065,300,704,083,028,522,024,
643,669,190,997,743,112,755,627,412,595,994,764,406,254,963,015,728,689,645,
665,399,477,424,294,536,929,479,833,066,868,891,982,479,621,767,458,227,304,
814,222,496,116,531,784,539,227,063,563,539,837,172,922,787,102,454,468,619,
602,180,927,961,282,156,617,646,881,102,944,008,692,540,926,011,652,270,222,
140,699,410,406,897,386,823,556,343,194,747,311,316,574,962,899,187,531,230,
314,815,933,809,803,549,651,049,788,015,184,161,358,629,328,068,331,850,580,
429,380,862,111,906,058,426,068,038,299,330,958,013,398,582,357,369,861,935,
329,680,764,804,319,980,700,228,426,663,748,517,437,534,428,211,054,320,576,
896,824,759,986,107,756,292,982,151,591,530,396,111,876,977,812,027,192,058,
933,544,738,029,974,265,679,739,615,965,200,681,546,570,674,576,546,978,386,
079,402,947,447,473,666,343,496,360,123,853,379,951,327,084,004,712,812,104,
439,072,297,982,362,516,601,370,033,817,867,461,673,052,124,290,924,968,966,
212,565,483,043,778,320,114,700,296,585,364,490,263,482,539,301,053,330,534,
439,856,009,143,137,382,493,064,035,944,843,744,054,289,719,859,316,167,272,
147,688,334,291,929,722,434,066,646,682,216,706,390,485,589,448,131,629,420,
725,407,354,620,224,136,853,431,238,245,575,943,686,460,311,760,145,855,423,
877,694,613,015,408,426,462,452,091,461,160,585,454,381,648,711,420,291,139,
891,027,090,416,642,810,307,372,810,340,554,450,180,612,385,922,987,765,294,
946,799,121,280,478,441,746,326,566,678,069,906,580,192,986,347,761,512,954,
654,191,007,533,667,708,186,951,451,637,546,528,665,247,757,356,130,302,684,
397,428,664,967,395,149,525,157,820,874,701,962,058,914,982,054,307,905,464,
274,745,616,611,381,386,810,808,996,412,446,352,471,898,442,145,628,682,322,
472,377,857,875,453,507,997,013,514,727,110,479,999,031,266,199,350,075,115,
841,005,828,282,904,852,366,531,704,341,111,125,854,106,703,074,188,755,785,
143,498,670,922,117,333,104,749,784,889,472,332,137,203,997,576,788,482,157,
847,062,452,348,185,513,545,779,766,228,947,590,687,859,941,424,310,175,203,
680,258,940,705,372,568,056,295,714,878,273,397,636,901,252,396,224,583,880,
697,438,940,655,474,503,828,606,980,582,496,622,906,326,952,923,856,657,033,
012,500,011,243,045,290,736,700,605,660,768,195,916,507,108,925,073,242,277,
202,242,754,149,814,506,723,095,900,901,729,463,956,586,377,342,430,385,071,
151,956,120,607,724,777,733,866,921,682,376,641,424,885,181,977,894,065,640,
507,003,690,779,183,804,950,880,598,813,070,827,200,403,768,498,893,637,156,
606,693,371,488,929,281,085,194,767,552,289,436,143,588,917,500,347,775,808,
233,531,809,717,834,561,178,919,963,814,645,816,796,318,534,974,426,524,138,
292,726,437,552,298,769,665,022,351,167,358,467,049,908,408,672,165,441,196,
163,264,278,074,533,878,628,131,089,812,264,909,072,519,753,482,893,779,737,
441,550,136,628,574,277,545,108,149,111,375,907,416,502,406,041,704,370,429,
788,182,668,517,728,688,938,767,189,442,451,908,570,770,138,526,397,297,848,
694,661,224,031,907,310,642,744,635,691,627,671,851,064,555,462,468,726,267,
141,178,526,786,445,216,587,616,068,638,845,917,435,132,098,288,348,666,983,
882,999,564,412,145,057,441,707,325,693,906,063,154,424,277,089,915,932,128,
500,122,921,925,999,810,611,365,368,951,112,849,127,262,547,842,293,138,870,
641,788,066,304,648,797,746,855,353,999,857,598,685,299,730,020,516,232,815,
447,884,120,218,015,836,250,038,080,544,843,290,746,978,011,135,178,584,905,
501,621,811,736,884,117,994,666,131,542,271,711,564,475,954,014,461,476,367,
658,791,502,309,177,742,265,009,395,196,035,146,370,593,903,439,658,303,454,
259,245,933,788,725,055,772,265,250,531,924,437,426,768,087,187,910,038,199,
857,645,491,398,228,840,131,608,245,212,125,829,057,844,100,918,439,819,277,
437,205,748,268,495,271,699,573,811,408,143,150,027,975,974,746,513,492,442,
248,680,227,202,045,690,886,603,246,684,335,675,412,356,494,166,402,894,670,
045,125,682,844,480,833,567,387,442,453,556,019,066,266,619,105,645,432,163,
019,591,902,470,162,114,395,310,216,648,599,147,861,780,490,499,016,293,759,
539,859,111,559,284,254,332,791,098,697,885,998,618,292,838,466,623,576,663,
451,807,982,491,733,424,852,569,302,899,038,011,527,836,886,968,568,565,714,
850,557,268,593,966,295,248,488,648,580,186,783,354,040,950,111,255,950,432,
905,561,100,296,141,320,279,028,512,538,165,579,682,814,088,306,570,620,606,
103,470,400,083,131,322,914,234,971,499,615,893,711,603,034,580,411,675,400,
101,570,107,821,427,837,942,871,113,513,514,819,624,908,626,045,717,872,368,
293,501,790,858,704,467,937,136,538,765,918,436,533,409,618,157,614,154,199,
716,066,318,114,846,389,948,470,003,855,816,272,972,344,036,957,030,676,700,
453,988,180,533,975,606,831,413,035,773,132,042,703,898,449,508,029,325,150,
031,072,083,108,189,177,778,748,511,673,409,941,211,557,921,446,082,822,050,
652,990,177,946,440,959,682,222,900,885,512,454,877,778,368,375,130,230,913,
111,622,124,701,752,850,023,207,691,675,282,231,445,278,118,516,168,846,176,
630,856,485,698,185,238,668,053,542,908,648,717,919,845,452,645,821,364,899,
476,860,983,836,709,778,624,613,907,273,655,545,114,900,470,600,221,664,726,
962,838,440,825,179,760,122,236,334,954,292,626,733,706,550,661,528,848,892,
054,142,493,430,044,201,698,705,042,683,789,419,195,505,015,980,491,852,373,
484,429,145,521,203,761,654,064,172,403,726,980,760,627,708,322,536,369,421,
765,303,579,036,562,681,316,753,407,619,446,564,753,577,961,677,209,055,829,
203,522,045,050,352,797,266,791,305,372,355,941,006,766,782,597,982,160,181,
731,363,833,057,949,214,318,281,205,328,470,201,732,605,471,930,959,886,278,
568,120,741,114,301,476,387,427,879,370,658,609,886,015,379,166,114,442,925,
650,877,918,009,853,384,037,541,837,240,643,939,700,480,499,152,033,543,169,
766,087,668,268,260,473,850,239,525,343,000,016,693,926,299,629,076,733,501,
771,786,930,571,460,224,165,645,228,030,977,491,864,402,136,057,402,520,140,
344,707,104,483,110,081,122,173,002,151,978,920,291,485,380,382,412,705,557,
094,066,507,300,512,561,180,755,586,251,068,631,916,861,733,013,764,505,214,
032,742,994,989,884,183,486,467,232,456,961,192,741,311,580,945,635,005,166,
398,075,219,411,193,230,267,931,586,442,986,405,924,480,561,348,768,736,558,
337,566,626,533,955,556,329,253,275,215,955,645,830,717,207,270,877,601,760,
964,438,843,535,737,819,609,555,145,829,714,059,511,925,232,759,338,977,064,
834,930,329,222,508,757,389,967,955,210,146,183,964,068,761,683,521,710,651,
357,551,349,378,069,529,660,258,486,464,847,137,054,352,468,501,649,460,251,
649,632,752,604,987,669,216,912,052,820,471,461,238,552,545,936,158,864,114,
030,117,173,356,583,211,358,973,474,406,099,734,824,261,036,204,121,138,738,
074,339,569,823,215,414,777,790,853,977,019,068,068,740,881,214,153,125,697,
340,282,418,066,582,608,494,400,494,704,587,538,033,892,291,057,155,727,140,
276,547,521,668,671,277,746,658,939,645,643,028,129,155,637,986,548,406,806,
262,869,151,449,790,966,684,516,291,774,036,585,684,930,981,408,678,783,371,
204,367,562,688,936,380,253,713,332,154,690,493,317,558,688,918,700,756,168,
498,778,843,753,396,077,078,201,247,673,049,447,420,175,942,046,920,369,829,
623,618,158,895,377,914,264,613,497,119,769,523,054,332,034,186,029,387,714,
546,177,663,596,598,200,170,889,936,858,058,164,410,386,278,961,426,472,372,
781,996,641,994,348,972,691,340,612,484,751,009,149,415,712,173,366,347,348,
431,208,575,054,946,171,764,468,623,047,416,698,320,323,589,215,558,094,794,
985,146,862,803,317,380,790,193,566,357,621,547,912,196,567,430,136,081,534,
267,806,259,592,682,341,282,954,035,338,908,656,472,033,108,390,887,227,502,
815,249,202,187,651,551,022,231,334,892,620,724,434,785,868,476,459,914,867,
974,152,937,762,101,791,475,080,113,877,358,729,006,600,380,211,554,556,705,
790,003,937,369,783,449,208,041,297,462,899,490,240,871,936,218,663,645,561,
976,922,882,496,234,041,904,919,789,678,848,399,104,157,757,888,226,967,549,
967,860,304,496,280,765,057,564,700,173,117,443,373,183,318,056,943,962,332,
391,001,185,600,753,499,702,951,735,711,957,756,568,322,025,738,647,765,183,
218,138,747,381,526,467,727,932,143,327,551,599,551,207,518,739,253,371,874,
686,541,971,469,020,182,517,577,648,048,812,033,080,602,238,274,631,808,427,
034,574,187,542,195,533,740,915,962,682,236,681,652,586,303,700,462,960,887,
569,626,806,629,792,531,751,741,820,529,288,438,453,727,993,162,374,377,031,
870,184,458,637,624,166,613,254,599,479,601,117,667,007,141,589,880,535,223,
657,938,839,943,381,351,311,566,332,992,465,138,169,970,295,471,624,916,873,
310,113,645,843,346,737,825,449,372,707,326,879,496,062,590,817,971,503,840,
023,334,896,847,395,327,550,850,119,050,286,534,373,668,092,751,714,645,412,
274,917,020,596,652,188,481,289,040,612,488,470,460,626,112,841,678,400,913,
078,307,447,255,235,760,421,788,735,490,054,057,752,756,700,794,066,612,926,
782,637,813,425,549,031,225,626,470,827,137,428,640,116,616,360,421,255,891,
235,586,196,364,478,716,015,416,050,076,761,685,824,690,968,026,790,089,801,
463,837,787,995,835,990,992,314,169,904,880,034,151,862,988,628,466,204,334,
658,255,342,968,865,250,425,794,008,410,545,900,120,038,113,602,052,063,668,
174,948,767,739,367,939,871,340,714,827,813,712,922,183,021,800,787,774,882,
758,373,992,162,018,444,605,146,409,541,443,587,234,506,558,692,678,259,949,
151,543,432,355,252,956,879,289,037,602,540,248,294,082,340,490,852,716,956,
708,327,498,184,368,023,268,969,164,432,552,341,192,505,539,568,073,269,700,
982,018,950,121,382,105,644,549,557,399,797,503,595,311,728,573,756,831,240,
399,379,259,627,734,816,807,795,480,103,881,178,609,370,295,163,953,174,409,
121,271,862,040,635,215,982,809,291,049,875,824,043,166,060,093,274,845,139,
544,081,990,934,070,584,745,380,317,898,843,260,329,999,757,493,910,373,018,
750,760,377,160,969,018,976,287,196,387,587,160,039,627,597,349,684,951,065,
444,763,111,026,969,876,956,503,338,069,804,524,293,253,018,684,484,249,262,
939,380,196,217,623,596,584,439,234,197,994,938,833,710,617,303,790,913,784,
275,755,463,117,656,313,101,859,062,790,466,275,545,287,873,452,406,566,892,
086,217,785,077,031,629,771,121,249,536,694,383,800,109,052,075,890,844,160,
168,781,094,523,186,592,455,138,379,264,049,076,823,265,274,857,724,136,351,
160,880,729,560,641,333,456,401,857,923,471,173,195,679,172,782,394,182,749,
152,151,481,217,070,400,642,298,672,425,255,754,792,787,542,958,308,887,252,
268,367,235,244,318,561,264,172,676,654,281,720,851,768,750,991,597,043,090,
004,485,796,059,717,900,708,022,151,005,138,720,372,946,292,711,004,802,956,
643,233,899,177,933,858,991,285,576,457,353,811,133,719,317,547,156,804,524,
023,691,652,560,581,255,477,162,025,510,781,147,552,717,905,514,080,572,001,
759,268,250,535,269,489,587,447,774,514,433,642,695,318,152,246,703,001,584,
793,209,926,985,367,218,181,829,183,270,505,364,276,062,148,043,626,086,887,
141,564,722,877,574,157,412,120,685,174,763,437,238,817,533,820,506,259,070,
807,475,888,554,069,867,125,878,827,488,893,937,079,737,907,122,673,393,248,
133,856,272,138,824,516,257,266,977,992,068,659,667,977,809,401,720,679,026,
916,785,410,038,861,626,431,640,687,850,264,612,644,095,433,602,737,782,826,
654,049,706,831,664,915,333,941,508,347,425,410,580,375,105,791,446,172,854,
107,285,938,751,474,715,078,230,538,814,689,114,941,536,553,406,044,687,142,
053,135,431,192,769,842,685,630,159,670,114,651,128,428,868,128,772,253,997,
196,257,910,790,160,920,032,096,639,610,560,960,188,984,744,311,963,796,853,
360,616,588,632,681,841,302,944,541,174,420,024,593,216,350,256,630,925,509,
756,092,807,880,557,237,835,015,711,546,055,293,235,288,227,683,003,207,102,
982,194,406,896,341,019,831,727,242,775,252,131,138,244,510,572,740,433,100,
837,512,823,621,976,755,717,698,139,668,860,382,946,929,977,037,622,227,313,
384,452,072,059,797,348,748,987,673,701,123,836,863,576,845,696,296,072,664,
064,080,088,493,833,524,175,684,752,916,004,073,148,271,665,651,466,701,302,
356,303,450,285,890,836,750,468,907,032,832,636,376,871,098,718,600,735,895,
604,593,567,201,336,241,210,274,457,407,835,464,421,728,433,737,913,654,889,
973,149,054,732,620,214,733,231,983,440,888,135,507,977,369,615,505,604,678,
243,211,304,542,722,121,203,839,724,123,010,041,944,800,700,423,825,170,070,
152,485,592,185,008,999,404,369,270,293,133,697,647,860,603,389,757,909,247,
527,995,254,110,913,658,233,360,169,839,575,090,789,576,975,413,854,571,234,
313,632,692,409,142,362,974,211,050,279,194,659,732,140,208,451,365,128,730,
125,699,046,832,865,374,933,062,687,362,589,804,851,012,229,484,550,704,326,
109,077,002,531,463,629,195,318,949,992,478,237,408,861,789,845,317,382,534,
882,995,429,611,774,205,617,790,328,810,628,423,189,392,820,460,439,295,728,
194,573,764,690,120,904,434,592,674,227,210,738,608,115,235,673,758,158,841,
718,162,873,450,088,130,485,253,005,206,164,434,216,027,031,157,445,169,283,
297,732,699,920,817,621,467,967,993,280,641,214,330,356,124,614,545,196,261,
661,771,693,679,035,529,542,391,827,275,833,074,684,501,716,129,038,374,937,
366,904,994,445,946,049,597,125,598,603,660,969,566,488,910,992,622,012,637,
843,551,592,372,661,909,499,846,916,248,744,017,971,822,876,463,474,497,534,
810,369,987,673,629,927,013,755,677,785,459,688,685,883,424,569,875,659,386,
885,001,877,158,297,896,986,591,756,994,824,070,930,853,391,056,075,582,068,
495,748,854,785,454,129,830,540,172,764,182,522,304,976,548,745,677,273,312,
479,425,425,133,138,388,344,814,982,325,043,639,249,481,916,401,025,284,388,
363,665,785,833,160,758,786,223,094,242,918,077,022,142,591,860,826,929,593,
886,677,217,754,614,455,059,684,239,397,083,832,210,716,006,020,723,671,842,
544,219,185,533,895,466,942,065,280,499,218,318,877,089,310,163,141,641,866,
164,970,921,780,628,386,836,533,625,992,229,515,790,641,980,059,576,309,032,
971,995,475,803,660,662,156,956,567,519,484,915,324,981,262,420,725,309,515,
546,357,877,391,565,708,976,314,008,087,975,042,108,987,080,565,722,065,190,
169,879,367,682,138,421,091,785,076,693,833,281,938,090,057,054,730,115,569,
496,860,797,695,632,215,920,715,297,500,456,222,070,609,240,749,790,040,663,
818,341,142,839,331,495,090,405,564,153,758,017,384,364,978,746,743,908,943,
717,795,034,708,343,221,816,220,410,340,236,198,179,900,550,358,349,834,372,
596,518,565,812,527,731,878,464,640,828,073,634,625,091,658,825,002,525,814,
298,525,605,133,900,059,324,970,337,611,613,564,469,309,011,561,398,886,126,
738,951,126,604,033,091,111,156,557,426,148,338,118,252,105,562,275,790,005,
320,309,814,224,690,848,912,876,857,351,007,352,771,935,254,433,966,993,034,
744,745,874,935,457,203,600,985,434,670,495,358,430,886,491,441,019,925,946,
602,541,018,528,202,903,564,940,644,296,131,914,660,249,999,430,944,791,002,
410,228,070,654,438,200,926,536,649,308,860,525,582,385,798,446,361,360,899,
840,771,310,081,695,140,705,401,308,795,238,653,421,988,490,057,828,765,160,
684,047,898,552,657,056,943,923,424,962,215,460,355,368,467,581,073,885,142,
293,095,063,766,674,498,422,199,774,188,303,237,132,733,351,340,171,698,200,
602,532,953,993,480,717,713,654,216,327,369,276,694,030,240,291,047,137,953,
326,610,989,028,110,906,697,501,742,749,117,738,592,716,758,577,937,020,227,
449,655,777,197,261,930,955,836,373,166,034,556,739,973,705,740,084,015,385,
219,208,499,576,887,236,341,391,092,534,673,712,302,851,448,752,027,529,988,
251,638,807,014,479,639,885,364,164,487,381,979,854,973,526,053,664,768,633,
515,388,754,679,099,670,148,931,229,411,450,491,198,257,418,867,533,272,095,
818,427,503,292,389,890,792,397,929,524,063,463,532,962,415,393,962,130,683,
327,895,177,809,883,159,922,258,826,515,103,174,616,734,890,488,269,078,707,
629,896,749,608,710,379,938,898,259,036,622,368,011,363,044,369,805,012,793,
563,007,512,593,913,374,917,266,125,594,892,148,940,040,223,158,945,800,333,
290,341,278,607,849,834,642,757,373,748,851,929,310,039,446,746,054,915,698,
176,798,808,107,867,928,353,658,492,063,020,791,975,158,383,436,848,238,683,
576,402,458,601,532,513,881,641,833,361,735,218,051,767,058,452,763,569,224,
213,745,357,423,898,746,828,022,677,034,271,518,850,842,520,875,274,764,918,
345,938,977,763,752,547,687,699,704,341,275,531,259,342,032,059,558,562,597,
327,390,515,765,853,379,817,879,587,589,936,978,467,279,802,714,572,158,418,
577,708,448,478,117,371,043,280,332,296,051,819,070,703,594,856,905,767,082,
509,102,119,560,939,226,859,745,917,310,820,888,615,403,646,394,970,555,239,
303,042,304,383,953,614,282,673,607,144,100,736,000,489,061,990,965,726,034,
841,843,401,131,050,942,015,715,723,022,578,356,557,902,009,848,301,862,874,
274,613,525,224,452,405,425,254,594,639,117,015,722,067,357,911,881,577,036,
666,901,695,649,400,212,092,458,187,524,271,376,941,465,113,943,640,594,752,
496,136,786,361,825,606,248,364,739,822,184,879,633,575,738,811,049,539,318,
957,639,647,738,746,259,359,066,391,232,415,407,177,140,514,993,245,596,330,
387,595,213,814,825,989,341,831,247,083,139,610,166,829,543,804,469,853,884,
179,631,573,021,675,713,615,564,142,130,331,104,684,561,977,336,381,829,074,
712,941,195,406,853,804,006,131,727,682,804,085,287,019,316,426,738,977,725,
974,957,134,910,977,164,895,703,840,458,739,302,092,325,398,316,191,675,489,
030,357,063,968,493,595,597,993,689,922,787,927,178,602,294,982,954,446,132,
780,630,981,132,098,758,397,873,726,493,072,675,416,600,812,057,640,375,364,
255,394,552,448,156,707,331,872,477,867,476,315,075,202,711,779,505,263,558,
361,931,130,956,749,793,606,519,055,134,555,931,676,327,928,058,106,738,475,
412,719,924,116,177,205,143,471,652,642,347,249,524,249,762,039,613,921,872,
694,617,389,521,084,560,873,102,264,311,614,156,028,034,907,457,373,653,606,
752,894,598,019,415,192,226,758,315,616,179,028,332,833,735,603,807,386,259,
859,427,650,929,022,376,919,478,301,528,973,894,854,374,121,399,374,263,713,
758,117,020,448,648,708,483,595,017,177,967,969,879,971,721,774,462,845,104,
130,662,810,975,592,331,072,035,314,810,803,910,658,288,551,054,305,848,869,
519,490,361,508,445,217,045,527,177,907,415,224,596,852,107,443,848,734,445,
652,045,325,959,699,048,937,699,754,506,859,539,152,172,996,896,666,157,628,
594,269,674,969,714,672,282,150,520,906,087,327,166,105,936,789,127,529,524,
732,156,470,588,241,624,387,160,778,848,954,975,578,954,174,175,299,642,838,
657,333,439,833,712,345,293,501,161,018,078,606,998,487,731,512,430,538,785,
966,224,836,485,762,840,316,923,717,839,537,090,259,811,989,421,773,419,884,
005,620,269,777,934,639,142,363,608,100,749,106,386,006,201,134,340,342,635,
281,950,170,431,772,465,529,158,680,332,077,241,600,723,386,786,128,125,682,
841,468,019,294,476,603,439,041,918,113,619,970,118,115,415,270,558,511,038,
203,988,582,355,393,208,023,941,426,178,205,347,276,509,483,567,836,485,704,
851,067,331,090,607,158,440,272,360,739,332,903,571,127,498,155,833,839,140,
081,081,342,883,300,189,851,745,063,886,765,765,071,827,049,280,854,042,967,
374,061,749,636,629,587,224,385,744,479,698,037,613,239,474,411,658,507,107,
734,913,039,113,198,410,266,743,456,605,495,674,156,300,575,250,665,317,338,
903,303,775,159,220,355,095,890,526,036,846,828,516,360,043,216,662,575,191,
093,443,664,270,968,718,084,511,545,336,175,005,983,698,983,922,884,473,237,
631,377,591,191,342,722,287,861,395,964,252,695,286,039,971,576,760,255,255,
789,457,545,339,023,879,039,979,882,569,994,278,862,629,884,172,688,709,074,
524,675,942,907,478,120,610,625,269,494,301,104,274,305,064,104,623,596,670,
473,013,687,943,592,659,400,284,519,844,034,052,324,918,411,691,558,660,292,
633,493,080,039,624,269,138,432,125,198,108,939,062,073,992,052,883,222,479,
273,180,878,585,231,892,671,881,420,555,481,060,238,993,841,004,263,152,085,
714,305,013,983,620,315,623,276,868,866,166,339,023,654,754,865,227,489,376,
976,823,480,104,566,495,726,653,724,320,678,995,434,077,277,631,000,157,636,
088,117,505,390,070,807,299,853,375,626,342,777,515,028,953,859,828,165,849,
045,791,362,767,786,153,638,561,601,702,055,692,103,735,655,356,888,098,339,
886,852,500,767,337,786,187,839,366,973,899,215,559,894,882,550,500,936,817,
239,762,797,111,559,987,312,825,710,471,017,178,063,884,254,059,685,109,484,
272,046,042,307,517,461,987,139,650,660,180,782,241,374,687,482,332,018,248,
676,097,576,598,504,611,491,526,517,509,635,847,257,522,254,354,093,559,846,
581,198,927,517,977,415,945,952,303,012,685,118,525,288,410,629,617,376,766,
639,372,753,571,248,603,330,954,196,903,683,043,617,014,175,962,878,088,533,
881,414,649,863,939,403,920,213,872,374,995,032,004,360,370,369,782,173,036,
272,109,950,349,095,324,260,447,853,103,019,269,903,308,095,971,062,438,839,
939,171,429,829,359,658,574,862,407,980,779,868,944,267,015,932,178,670,390,
048,077,847,344,948,015,138,978,839,917,744,625,831,009,560,214,918,658,074,
975,431,112,319,682,450,255,171,684,451,259,298,335,982,652,845,102,148,525,
506,271,417,788,289,455,161,470,300,070,232,319,208,714,971,421,268,364,626,
010,541,694,537,045,320,862,848,071,540,777,166,207,946,437,798,797,195,370,
570,996,103,832,626,139,346,810,331,542,418,616,642,899,953,970,892,682,490,
632,861,208,594,736,656,956,881,346,703,221,882,294,977,880,600,316,760,075,
037,553,983,117,424,515,548,910,504,815,596,264,641,822,313,816,811,022,147,
537,768,462,957,852,568,203,882,224,665,714,371,744,206,159,483,068,148,711,
294,989,872,700,163,220,543,142,607,399,631,707,709,931,317,648,431,174,752,
716,277,328,059,445,524,347,287,779,875,036,891,342,007,713,088,843,468,812,
570,604,706,892,887,625,587,598,863,157,627,639,881,452,082,451,723,145,434,
343,717,614,509,380,784,301,289,359,957,322,863,969,577,570,106,398,879,256,
543,408,894,045,279,259,539,146,013,980,052,665,839,616,454,687,319,584,813,
851,979,574,299,858,405,299,834,304,497,112,314,254,560,416,923,428,768,220,
819,132,400,343,401,357,811,772,267,245,211,566,575,610,720,592,928,161,339,
993,362,222,646,176,255,045,698,616,972,895,412,453,781,005,949,008,177,685,
387,249,274,445,278,841,033,397,373,329,441,013,987,121,441,826,438,374,717,
078,842,823,514,491,997,511,301,095,659,489,416,888,680,839,903,213,512,830,
217,744,169,583,416,262,519,468,743,673,796,191,259,603,746,721,030,258,923,
876,676,539,464,574,372,090,556,758,555,876,591,020,944,330,682,139,486,405,
034,802,708,153,738,670,257,122,498,180,375,188,460,506,082,147,032,572,616,
269,602,401,842,576,244,344,844,324,321,578,218,255,532,096,448,735,271,044,
413,419,176,048,985,629,727,061,096,712,530,907,135,112,049,017,560,665,087,
795,277,492,130,325,813,853,335,591,451,555,813,864,028,614,160,861,075,668,
644,281,615,113,361,597,876,628,218,004,680,289,368,328,266,685,072,570,392,
181,334,948,940,584,283,322,064,731,949,724,818,206,133,867,404,851,605,432,
596,215,756,040,682,318,472,193,859,855,585,869,200,906,739,678,493,914,811,
316,594,260,254,256,746,215,646,521,337,621,514,467,509,788,363,703,414,016,
442,170,329,636,837,501,325,958,545,813,244,192,246,920,694,765,163,571,383,
046,314,708,751,730,392,828,964,158,638,839,829,948,755,121,889,360,203,567,
212,293,221,054,753,595,549,878,774,456,414,790,089,234,031,898,896,590,508,
830,830,644,504,519,020,316,394,708,918,500,585,216,404,954,665,996,642,929,
113,431,105,471,774,011,324,138,389,693,930,896,143,830,226,156,039,794,119,
699,815,575,791,426,686,950,604,586,998,514,136,082,936,234,841,311,174,872,
543,078,320,665,314,647,374,199,411,978,661,679,153,980,412,708,237,965,433,
926,470,043,623,132,801,366,798,199,035,212,855,718,869,784,458,785,278,244,
041,299,236,516,276,337,467,783,472,593,235,044,047,340,380,056,634,959,298,
547,274,864,265,655,832,067,263,009,800,958,083,923,776,149,889,876,642,072,
504,751,995,870,488,687,686,542,747,899,704,894,867,134,878,979,925,076,232,
985,111,035,905,317,467,277,333,076,653,523,559,311,987,513,545,754,864,800,
994,120,590,679,041,795,627,590,556,543,427,705,128,622,948,907,015,235,484,
906,150,279,862,296,638,716,687,568,912,552,859,828,969,460,157,237,395,780,
120,958,474,024,273,928,467,242,939,359,119,657,299,280,488,751,700,840,409,
603,643,657,096,572,728,395,369,206,747,778,083,882,693,844,600,732,207,898,
230,792,053,707,809,917,295,609,537,854,106,084,149,703,329,479,153,967,911,
880,398,542,145,173,335,823,037,828,797,376,164,753,482,857,985,647,883,591,
054,234,554,453,488,099,770,564,797,260,625,701,263,867,624,031,579,659,910,
812,713,815,158,170,601,574,299,946,609,042,354,221,036,445,690,972,915,620,
658,042,570,756,208,218,835,257,473,696,974,451,098,972,232,439,911,382,742,
522,179,980,605,732,201,034,841,648,620,761,248,885,079,557,967,306,511,339,
500,641,382,293,325,087,180,572,166,448,887,953,755,121,900,360,817,556,399,
627,954,818,750,099,894,837,447,474,663,376,337,085,748,458,467,811,747,281,
733,508,062,083,335,577,077,193,541,578,731,189,122,500,332,631,782,071,553,
365,588,648,040,792,144,557,938,043,505,934,699,785,168,882,515,525,952,785,
807,021,370,760,612,480,971,207,594,438,134,659,319,316,945,333,765,209,417,
777,306,437,280,436,210,440,124,838,838,012,063,603,895,548,731,504,111,907,
942,939,830,128,751,185,840,500,908,670,403,449,951,574,708,138,521,510,009,
261,639,436,509,692,165,829,445,504,622,068,975,910,386,531,911,508,738,957,
300,121,362,958,197,539,884,902,883,528,660,638,648,562,652,292,317,011,480,
837,879,482,387,221,761,554,963,998,331,515,115,756,730,242,244,380,686,266,
071,948,370,693,374,527,137,061,357,205,028,547,314,094,156,234,369,263,405,
129,848,246,076,194,598,469,843,485,113,122,554,031,919,197,605,792,889,691,
384,689,116,406,968,769,418,423,567,981,737,643,278,933,858,135,251,962,603,
485,753,691,865,808,888,439,896,948,265,047,607,624,230,867,272,301,019,795,
883,960,458,441,726,229,696,254,719,618,382,673,188,290,577,079,157,647,026,
795,338,827,808,740,563,631,224,650,678,013,916,081,018,885,998,376,688,769,
803,756,728,939,413,307,021,833,662,571,536,071,761,415,873,482,956,483,309,
082,127,655,922,635,175,511,462,036,961,107,107,635,472,107,110,519,084,990,
082,812,907,033,373,229,851,925,962,511,453,725,092,342,539,236,320,563,997,
777,346,364,765,291,812,180,059,013,248,048,156,727,275,691,792,003,450,665,
091,351,236,760,271,796,661,891,280,207,544,449,239,786,007,852,690,427,750,
432,317,946,216,962,946,604,858,870,098,703,750,852,515,218,140,708,721,081,
729,826,661,025,028,138,088,938,103,688,802,047,124,636,253,691,639,231,440,
039,899,800,491,618,060,766,264,822,617,735,726,663,149,553,357,779,638,441,
165,589,209,197,881,372,511,576,637,195,431,444,908,785,920,518,255,877,453,
875,296,512,115,335,871,472,145,204,674,730,915,216,847,924,885,980,266,024,
952,988,904,077,120,369,829,109,685,532,799,320,188,312,907,168,471,497,644,
276,453,565,871,460,614,186,950,479,904,695,257,560,231,318,338,731,284,995,
138,259,106,975,503,882,511,686,627,280,004,632,896,080,665,789,879,422,082,
006,695,290,030,450,051,584,396,824,739,717,269,165,120,028,022,732,737,309,
928,616,286,637,140,552,275,710,004,563,118,433,896,906,383,667,383,246,521,
052,639,493,646,056,535,957,380,138,768,944,370,835,747,940,425,945,317,274,
178,200,984,755,359,923,667,922,420,157,365,393,481,875,972,943,953,012,448,
755,794,744,566,338,178,644,371,454,499,407,499,930,379,236,533,151,443,560,
569,747,378,113,978,812,590,306,530,490,222,911,713,423,165,580,321,306,729,
249,258,403,900,823,517,384,574,871,421,379,389,100,072,026,671,815,512,877,
605,588,892,188,380,515,496,053,487,369,911,870,537,562,534,123,775,775,222,
041,115,099,927,214,232,637,622,522,259,679,491,019,789,560,190,440,985,608,
731,784,827,291,797,284,051,024,949,264,982,056,059,490,743,196,348,396,603,
361,614,621,826,479,906,750,054,318,940,906,423,341,659,333,333,066,994,440,
379,465,261,766,102,524,345,437,295,628,535,715,283,982,258,876,653,892,637,
491,234,597,392,681,946,152,045,842,013,711,017,521,968,244,194,215,383,417,
174,880,350,138,082,977,766,772,578,576,736,577,005,981,338,437,801,370,890,
717,876,714,884,689,704,371,948,741,382,827,990,580,523,535,700,590,375,178,
555,269,644,331,362,071,777,577,464,574,713,616,027,503,073,956,028,955,518,
166,739,213,088,413,250,181,873,381,161,887,688,776,411,774,575,878,030,677,
679,156,387,154,419,904,597,478,749,491,237,308,856,577,237,614,975,583,625,
283,965,977,428,388,753,305,082,425,008,545,871,991,266,790,811,703,425,110,
016,066,942,131,151,485,505,419,264,766,086,444,235,292,819,755,513,673,291,
086,785,271,496,500,736,206,419,935,298,154,302,382,887,629,300,568,933,520,
502,926,254,276,841,541,719,924,667,199,023,094,086,634,655,737,566,614,158,
689,619,756,881,689,918,371,072,609,133,247,638,902,264,534,830,078,808,466,
589,230,194,269,984,392,479,242,569,431,051,324,397,258,352,250,536,335,273,
700,068,558,124,210,115,090,126,401,902,725,780,233,569,182,083,407,739,758,
168,022,394,350,627,493,984,384,657,536,608,811,708,477,558,289,419,781,331,
672,696,817,970,631,391,941,733,076,985,422,320,675,149,592,324,273,689,704,
533,118,637,427,893,793,220,051,741,810,755,202,968,954,032,707,899,678,812,
297,274,438,234,161,858,125,468,772,885,655,309,009,254,923,395,325,300,357,
457,540,976,226,580,902,461,345,766,949,858,804,371,899,672,802,794,333,321,
236,022,159,716,104,083,937,965,452,216,993,856,774,831,811,278,606,262,428,
840,341,369,427,707,898,569,374,072,410,304,516,262,044,759,328,238,861,187,
906,721,778,305,102,303,796,672,473,869,735,789,060,253,122,741,094,921,428,
390,610,565,915,109,250,512,597,424,197,411,968,395,100,297,829,987,142,705,
777,660,204,288,404,887,906,790,574,242,334,364,467,994,771,763,420,287,540,
022,694,335,774,104,189,621,923,587,862,020,972,070,501,230,553,141,998,821,
028,287,218,971,700,942,924,137,384,029,559,843,933,547,226,146,536,682,132,
035,936,380,505,821,341,991,663,951,899,361,720,024,787,566,490,135,594,565,
118,009,553,430,134,564,615,641,491,504,721,051,634,497,834,028,338,017,826,
929,397,912,578,585,415,520,146,543,950,954,517,121,798,898,111,590,116,210,
507,899,358,673,607,923,182,394,454,114,544,974,644,346,988,377,181,145,600,
210,383,072,711,815,906,638,361,725,504,950,354,931,650,339,360,565,752,180,
781,502,286,406,487,439,015,100,356,150,654,766,905,292,542,114,091,079,714,
230,057,084,791,070,235,295,201,979,503,566,025,165,181,799,988,887,590,899,
507,407,533,795,388,173,631,275,781,495,079,180,945,376,236,200,526,675,942,
844,023,728,947,514,361,958,887,332,952,122,282,093,677,888,212,870,742,616,
660,610,614,707,342,316,778,637,096,893,708,605,220,602,983,597,440,214,036,
884,131,851,972,762,821,425,025,299,820,627,140,887,841,829,076,823,032,575,
888,805,203,244,077,745,074,832,107,139,707,014,491,507,520,374,613,909,767,
837,518,193,582,361,366,166,352,068,774,914,254,499,528,402,020,614,399,248,
332,929,259,243,614,995,954,604,380,546,885,410,278,824,307,582,591,029,796,
329,969,659,104,811,206,921,630,439,904,767,592,352,588,451,109,352,153,399,
191,273,977,400,378,221,197,554,367,185,742,390,148,070,239,881,176,251,792,
716,851,938,986,166,734,627,808,814,224,555,965,638,256,801,529,707,099,405,
630,069,623,237,788,551,802,972,895,960,610,221,102,674,075,356,783,483,497,
853,808,439,228,613,952,060,268,005,276,716,739,143,070,421,349,546,249,155,
977,729,691,843,535,232,588,969,252,141,759,936,951,996,544,822,486,874,018,
255,037,706,114,273,737,896,281,690,515,219,545,963,041,425,087,493,286,330,
094,228,655,743,757,990,444,977,928,875,553,942,344,326,437,701,291,270,811,
115,580,134,382,960,547,100,948,369,337,441,571,253,588,889,463,210,401,408,
336,609,766,157,739,598,937,455,281,217,866,113,168,596,941,686,494,025,316,
177,106,660,714,985,182,049,001,616,259,852,588,564,179,938,863,485,122,291,
434,793,629,418,184,020,160,476,953,101,160,142,887,765,812,022,664,222,962,
580,487,157,694,760,832,511,341,173,418,326,986,902,282,678,436,777,867,806,
940,256,135,705,167,901,291,233,303,541,708,365,064,626,095,727,527,912,835,
448,294,903,479,192,015,911,493,989,114,802,778,266,632,954,346,874,845,633,
484,847,441,383,254,702,248,304,860,938,425,266,973,290,602,767,042,239,399,
680,353,229,681,136,113,986,267,112,479,350,140,174,103,852,048,854,921,848,
880,192,185,261,986,212,255,228,282,007,887,237,897,283,816,617,290,987,303,
995,295,718,348,951,740,716,535,848,571,909,681,389,109,371,526,851,723,766,
584,919,998,166,336,255,737,595,538,469,257,589,258,104,361,011,157,595,973,
340,842,756,961,981,539,028,705,841,060,225,783,588,519,147,488,008,376,140,
886,021,717,399,474,728,021,804,595,683,765,306,248,182,878,971,900,998,620,
641,584,787,307,397,987,279,178,111,443,685,063,571,142,966,875,939,021,076,
991,577,340,177,556,331,770,697,046,861,382,209,032,028,564,773,283,034,415,
522,460,264,842,013,343,385,829,262,608,964,540,820,053,642,383,942,177,499,
503,083,079,824,614,835,650,090,588,072,506,480,564,851,237,492,277,767,897,
731,944,586,516,097,419,057,352,867,175,255,716,635,842,981,574,065,481,909,
774,336,066,354,203,970,531,341,564,438,678,189,428,234,469,678,580,714,037,
236,396,552,902,464,984,327,116,585,073,401,076,973,089,496,547,125,302,628,
322,426,425,224,320,360,900,771,689,251,911,567,699,224,874,350,116,077,348,
520,199,835,345,818,145,044,150,011,651,919,637,782,061,038,846,675,385,124,
523,738,741,503,081,022,143,822,403,822,457,422,756,033,316,917,647,450,293,
204,357,479,396,268,132,225,265,723,318,650,882,406,789,081,262,699,194,342,
310,303,781,388,917,086,095,660,824,920,222,692,984,879,649,164,669,410,694,
970,316,833,925,678,899,332,840,733,117,305,838,842,252,925,932,453,592,152,
176,895,322,925,977,689,518,534,229,342,156,678,865,844,226,116,979,311,230,
600,814,382,578,104,597,402,687,376,104,424,823,290,944,765,557,977,004,273,
186,824,154,794,142,257,704,342,023,423,915,943,702,085,710,732,800,218,399,
939,133,177,793,490,230,297,029,884,214,222,172,774,432,849,411,902,827,744,
517,244,975,557,349,790,748,940,444,722,850,573,139,195,702,342,246,262,741,
978,306,305,926,230,975,252,254,727,413,485,529,289,440,382,744,708,412,352,
196,981,430,744,782,284,098,046,282,345,050,340,868,130,547,139,490,503,459,
018,954,288,793,641,260,849,818,268,319,529,725,798,942,122,749,652,045,857,
894,478,392,513,264,799,256,421,828,607,748,789,239,024,439,719,085,296,900,
803,861,439,424,620,127,419,062,921,546,418,594,310,708,686,451,303,912,724,
458,048,161,228,554,725,566,551,811,034,519,645,916,443,832,832,872,108,630,
668,584,895,793,559,244,637,540,518,600,741,485,568,559,666,267,134,076,082,
979,870,216,839,569,031,270,201,866,084,597,986,783,958,344,716,756,537,206,
873,356,332,638,675,856,281,900,250,902,434,097,549,554,658,640,314,101,959,
001,856,308,189,704,878,747,137,939,477,844,653,573,018,623,184,721,880,450,
927,568,258,443,088,481,260,663,242,619,102,723,357,426,450,594,501,577,255,
517,211,323,711,525,094,599,633,913,858,453,699,780,911,373,611,241,447,149,
150,585,539,601,902,807,123,484,647,134,482,292,322,017,885,453,422,561,802,
393,054,634,375,069,228,329,701,929,536,357,708,125,752,233,625,018,362,686,
643,224,592,511,308,942,146,926,373,291,254,169,206,742,623,702,014,031,441,
787,684,407,000,606,480,624,351,455,355,115,067,747,783,580,819,983,397,903,
981,116,562,463,649,048,210,882,698,100,660,273,291,461,693,795,388,993,398,
828,683,379,949,906,640,426,176,250,257,709,946,375,993,658,190,818,359,324,
012,751,918,302,447,895,981,644,090,488,331,246,562,846,445,863,438,593,871,
863,109,128,737,530,088,989,002,969,712,797,627,389,017,857,859,538,245,881,
318,116,321,779,026,848,458,978,152,046,853,027,581,541,401,407,972,400,953,
435,152,066,373,706,763,871,359,367,616,495,354,459,073,292,740,675,396,708,
512,843,010,919,859,111,575,181,132,223,953,558,306,298,374,060,175,767,129,
845,093,951,542,694,895,463,313,748,922,715,015,998,250,656,080,257,241,725,
921,967,783,436,582,008,746,255,365,379,239,175,721,132,126,806,232,679,511,
324,837,209,728,137,318,606,047,913,689,604,438,567,436,969,576,544,584,580,
082,561,091,711,526,782,009,933,802,557,969,845,415,134,879,135,708,033,607,
751,940,329,588,420,685,192,313,330,566,016,681,174,046,337,120,298,367,843,
845,774,913,972,736,840,022,022,031,489,118,826,904,502,172,797,830,650,130,
191,119,544,269,351,804,589,631,740,876,083,080,791,594,749,044,075,720,086,
718,197,788,402,147,678,606,266,265,352,285,037,026,853,410,616,586,642,045,
868,713,986,250,643,637,443,505,905,332,404,123,526,047,626,375,708,602,277,
846,592,746,372,766,359,937,728,280,818,049,662,252,221,690,735,775,946,009,
352,610,505,846,900,618,006,909,294,425,680,284,728,189,359,103,724,027,219,
945,038,023,277,889,250,060,993,828,612,647,865,351,180,638,530,899,890,543,
237,639,994,161,921,820,536,623,583,690,518,186,913,256,715,856,808,588,112,
962,712,986,809,916,782,501,363,841,691,862,316,870,893,377,331,227,664,513,
550,992,601,397,823,151,671,779,956,435,034,569,592,926,210,327,046,229,627,
106,136,408,200,621,698,842,275,966,515,041,254,410,129,156,803,909,966,787,
329,792,635,851,662,150,478,669,883,721,497,489,753,094,357,729,865,297,906,
363,369,813,755,118,588,218,332,076,139,822,669,954,022,788,041,448,768,372,
023,109,903,884,642,231,986,256,264,753,326,637,549,650,573,177,076,411,020,
672,866,634,672,364,789,203,221,199,351,059,728,992,587,876,181,533,778,019,
541,026,859,892,083,587,515,755,913,618,576,463,222,104,882,364,539,830,284,
678,107,805,014,358,465,842,164,590,297,807,424,576,358,845,816,298,129,790,
410,432,067,360,624,335,897,252,124,874,556,993,690,719,329,591,623,701,520,
516,420,663,621,176,525,578,458,090,938,852,980,445,668,969,570,795,049,919,
946,867,329,066,226,714,000,366,121,542,678,218,329,385,715,125,986,816,866,
581,214,538,699,274,407,958,353,727,320,939,757,662,102,074,338,321,683,872,
979,444,071,955,136,765,348,488,408,622,534,922,887,473,352,563,489,291,330,
231,140,497,400,344,149,630,807,851,626,140,683,922,259,811,896,186,160,560,
616,045,128,500,743,666,804,293,044,599,723,179,164,385,469,377,216,120,635,
160,654,924,697,217,860,078,216,783,684,087,595,115,525,406,716,301,351,728,
411,718,807,725,008,507,850,090,797,272,341,451,098,379,611,931,008,007,725,
813,471,371,515,266,524,857,890,094,006,245,784,545,332,865,278,061,741,831,
313,314,481,201,532,359,270,268,710,495,942,981,073,754,669,398,578,254,401,
990,425,567,974,601,718,011,749,802,946,030,952,673,204,742,886,847,580,670,
095,048,097,852,231,970,332,300,388,469,867,003,227,219,864,720,116,168,930,
689,101,696,647,829,610,362,947,624,778,272,009,600,532,297,322,673,428,484,
154,972,528,465,142,359,371,725,216,006,976,236,263,358,242,980,334,535,482,
808,445,151,000,572,748,123,401,253,668,406,897,562,504,824,064,521,286,054,
733,321,666,843,257,011,462,920,329,347,879,645,116,440,357,949,540,904,214,
036,690,470,670,091,362,397,002,585,515,201,308,111,146,159,359,614,288,795,
980,520,299,802,860,515,914,760,250,052,272,730,116,837,974,487,676,082,909,
786,242,841,773,465,098,559,762,878,003,661,698,488,790,351,526,209,138,693,
718,483,549,630,238,205,696,457,464,118,921,641,519,701,024,050,110,908,828,
881,827,176,688,573,630,096,368,882,519,295,667,589,178,575,229,381,937,453,
175,530,994,169,962,283,468,789,084,423,061,159,717,196,884,627,963,986,312,
315,953,597,578,302,105,672,988,894,823,261,606,611,713,079,051,214,165,177,
374,483,119,736,867,065,386,488,803,108,195,195,655,336,613,700,228,845,806,
143,817,265,719,702,439,511,054,382,373,609,254,634,054,510,770,160,065,916,
406,944,680,867,931,760,177,742,044,320,789,897,240,526,391,644,288,456,764,
364,451,918,884,673,438,959,106,226,207,554,058,604,811,512,890,268,617,780,
337,320,524,222,877,765,741,043,285,424,765,269,488,137,473,715,538,407,032,
064,006,785,500,731,498,754,156,400,903,210,636,249,954,648,200,930,123,766,
043,084,306,387,711,092,495,791,713,548,553,040,663,733,943,213,291,829,833,
382,399,848,286,890,884,306,846,146,498,750,262,803,690,072,861,076,624,622,
474,942,764,343,006,990,188,014,177,876,934,752,526,323,760,613,297,807,109,
177,856,320,222,388,453,665,057,636,267,201,119,536,540,165,791,016,211,530,
505,004,347,141,556,610,256,728,006,240,637,967,300,350,384,424,892,563,531,
026,877,787,329,409,924,371,276,069,885,090,047,508,522,044,867,936,432,513,
829,828,916,043,834,981,976,836,763,188,704,350,484,793,405,479,500,282,130,
444,307,546,606,663,653,222,584,524,621,077,319,659,776,110,284,980,858,196,
359,326,259,075,656,639,461,677,151,420,059,362,794,676,296,584,071,488,107,
526,472,963,970,006,966,052,803,125,674,976,742,246,865,167,364,590,172,755,
041,272,026,669,451,874,873,513,154,293,816,810,522,032,966,281,685,770,646,
299,457,841,096,784,086,459,357,807,089,434,137,412,103,647,983,291,308,231,
818,854,480,995,464,617,894,427,867,810,009,838,655,478,613,134,082,463,301,
430,074,259,987,592,820,902,764,052,964,047,115,038,694,403,374,827,928,133,
496,305,480,432,589,736,147,058,871,019,257,381,687,968,467,643,983,328,505,
232,850,236,168,434,404,423,480,219,487,851,026,348,671,529,287,375,188,280,
714,038,796,473,955,732,019,779,708,197,229,852,834,572,708,959,665,041,351,
646,212,423,099,750,398,284,235,017,909,791,059,998,819,922,144,162,389,456,
609,374,960,103,183,147,160,730,578,891,026,395,999,538,700,476,695,300,104,
580,687,250,504,989,405,344,525,200,419,249,299,378,588,532,260,155,034,337,
491,027,643,988,829,039,761,518,468,086,879,725,418,216,097,851,832,805,007,
100,099,045,631,502,245,054,434,331,742,760,336,025,288,635,141,249,456,707,
599,490,436,416,391,360,556,474,615,650,815,702,842,095,487,613,036,183,696,
882,551,785,649,927,583,086,409,459,198,837,173,591,122,241,325,952,356,751,
476,095,954,822,393,414,857,262,099,636,841,071,447,325,637,090,374,880,973,
441,451,662,462,124,436,800,669,368,732,876,325,863,657,905,694,696,708,568,
071,895,053,437,236,539,655,806,091,916,865,002,795,709,258,748,644,657,084,
529,542,617,673,797,214,405,889,181,349,279,957,348,274,582,023,880,101,417,
913,386,517,185,197,462,871,536,602,500,820,004,939,325,181,160,292,209,020,
354,254,348,292,475,793,329,275,644,622,124,243,127,224,521,769,872,180,862,
912,339,686,029,777,014,288,656,800,682,473,298,641,033,845,255,060,354,751,
535,019,929,060,178,830,911,921,026,322,799,813,392,033,486,634,124,380,652,
650,020,705,067,445,805,344,032,208,604,321,942,150,666,552,351,958,992,890,
052,689,706,178,660,164,408,414,767,653,506,810,530,101,165,500,813,616,445,
201,239,516,631,853,721,547,407,013,086,246,217,892,762,592,362,676,520,393,
952,116,285,654,093,863,906,873,258,762,446,267,981,556,513,214,366,908,949,
923,029,417,168,689,033,371,139,076,181,040,132,480,047,580,175,036,996,927,
235,214,058,372,995,508,850,096,784,135,131,856,636,360,408,357,219,379,632,
007,127,066,155,913,956,440,070,489,463,921,254,851,095,216,900,526,515,643,
725,965,320,458,507,058,896,692,420,584,201,401,214,809,782,240,898,902,452,
979,554,312,328,136,046,886,314,524,777,324,579,912,079,237,028,088,920,319,
737,664,731,186,962,812,313,636,070,052,085,332,316,399,351,014,004,445,267,
213,462,770,581,213,723,180,277,769,340,127,025,646,723,814,675,318,573,833,
962,295,291,692,620,234,817,240,352,546,208,607,288,180,009,425,561,641,061,
769,614,715,820,931,798,303,540,180,250,728,463,389,651,013,991,698,985,544,
919,455,471,670,952,820,330,537,723,031,197,711,159,999,562,677,370,805,850,
594,645,769,496,974,943,746,163,982,896,249,682,598,750,295,537,698,399,466,
539,527,461,625,456,712,563,442,993,654,319,030,015,089,483,828,557,625,517,
851,731,258,805,584,463,660,061,922,252,046,435,862,238,111,149,525,820,143,
585,051,902,768,018,414,770,278,857,006,103,806,099,240,760,019,737,424,308,
315,483,676,356,425,739,135,186,494,412,422,384,950,328,353,129,092,708,442,
837,448,653,180,598,204,283,790,222,386,334,474,105,636,957,379,033,513,058,
678,986,401,204,350,881,437,971,957,803,692,331,144,433,681,960,654,326,948,
306,472,153,675,690,125,405,175,975,995,196,962,732,854,413,716,923,807,234,
999,685,812,488,435,452,192,573,003,209,249,169,378,302,307,104,802,341,572,
332,985,434,631,457,045,035,121,512,951,711,175,845,024,449,038,019,373,023,
499,481,598,700,159,686,313,544,838,206,874,880,123,402,370,651,321,938,989,
670,176,393,884,325,331,738,930,540,341,357,748,485,444,805,388,990,614,091,
705,834,612,022,195,134,090,452,246,491,009,964,342,188,589,132,637,029,385,
035,404,383,820,930,017,528,878,393,210,870,876,829,402,751,422,743,863,505,
005,010,234,623,653,486,433,141,010,750,686,915,896,260,967,907,484,103,260,
158,975,585,083,819,612,757,073,666,633,311,365,030,908,322,269,502,287,744,
628,536,262,773,076,934,762,576,461,986,443,378,559,940,232,441,480,352,500,
843,934,089,310,821,842,363,568,215,798,011,389,960,637,922,917,835,962,177,
208,633,729,837,609,593,162,425,971,007,831,152,013,937,848,138,228,581,625,
650,328,737,037,574,478,316,204,696,285,059,340,510,961,088,156,704,860,750,
034,989,308,459,170,003,307,496,012,394,270,274,223,079,729,883,966,180,595,
289,251,963,042,754,646,911,223,780,539,952,487,412,767,344,141,652,936,524,
545,295,247,430,275,135,506,075,871,828,143,325,890,190,295,108,306,323,946,
032,163,346,351,171,651,439,695,177,719,867,954,270,597,362,149,383,303,245,
063,243,511,209,652,412,134,839,716,468,534,197,302,947,887,549,521,495,572,
907,284,629,811,168,913,853,813,451,630,808,349,200,379,756,098,491,135,013,
797,477,871,225,034,027,215,506,650,762,741,143,118,243,249,113,229,795,582,
383,936,496,714,406,389,511,379,881,894,904,868,422,180,327,160,541,576,803,
166,437,031,807,158,881,689,210,922,801,673,197,676,515,734,960,180,206,432,
484,425,027,684,367,997,891,569,545,524,383,311,042,242,254,394,930,419,514,
253,356,914,797,441,011,275,129,087,879,043,361,362,701,403,351,697,212,732,
155,730,807,508,361,716,125,970,797,026,475,191,047,123,865,742,547,804,089,
669,235,801,030,325,521,817,131,664,089,049,229,746,654,771,242,965,687,752,
230,820,203,930,483,616,871,491,856,109,246,936,789,589,884,777,107,970,138,
569,031,882,931,409,677,395,178,690,635,337,756,596,125,509,534,909,262,318,
197,219,423,162,084,146,112,831,396,885,946,459,313,295,497,406,919,492,739,
811,354,214,753,497,834,872,093,252,090,796,895,606,420,564,570,243,130,214,
211,218,523,328,329,221,837,100,607,372,975,422,384,798,279,273,813,015,717,
898,732,806,177,576,879,225,468,624,431,729,016,694,858,273,360,359,191,434,
177,652,413,293,890,643,448,425,406,828,129,486,095,264,687,811,235,290,777,
873,977,725,092,781,875,985,817,828,657,246,581,232,921,265,123,951,231,304,
785,443,642,201,946,703,532,161,184,570,992,841,515,662,745,410,232,179,427,
081,509,702,597,757,871,433,844,455,474,368,857,910,412,686,977,131,832,391,
720,656,210,638,926,682,601,779,754,157,712,948,316,876,111,191,392,511,787,
923,140,996,630,333,972,609,863,019,847,434,649,470,772,872,826,228,881,311,
140,524,545,327,159,236,663,921,058,325,180,153,230,428,789,497,260,149,722,
156,396,018,952,177,347,164,487,742,279,148,508,691,720,812,026,709,961,218,
255,718,305,956,217,396,983,869,044,478,684,919,776,409,305,335,111,544,737,
607,325,801,128,952,806,120,159,703,441,489,429,809,044,818,251,046,966,487,
266,283,489,828,365,498,225,854,841,001,664,516,277,345,515,158,245,878,667,
958,664,404,563,772,613,491,046,861,760,468,076,747,658,698,073,643,704,192,
815,873,782,638,103,212,455,040,048,380,733,259,050,084,671,077,289,788,976,
124,922,648,871,276,258,649,862,724,874,788,425,287,381,413,103,017,619,521,
025,352,025,104,681,883,742,024,204,338,470,345,471,168,393,188,538,163,245,
680,865,987,894,806,796,410,998,130,032,805,209,116,538,407,534,000,802,032,
433,840,787,694,981,838,671,308,294,684,766,468,879,540,699,508,400,142,564,
627,357,372,616,262,210,780,156,904,646,258,830,883,951,276,689,188,072,645,
761,276,567,190,711,744,086,873,188,313,665,813,063,680,258,155,116,761,670,
571,630,830,974,059,546,979,122,456,115,583,396,797,924,926,780,316,703,324,
875,833,297,309,849,666,578,643,187,319,794,148,590,958,818,643,511,783,570,
720,814,831,534,373,488,176,734,011,389,730,230,038,402,202,977,166,621,928,
369,266,925,408,372,026,591,519,801,860,926,616,196,526,658,079,184,870,771,
003,576,428,766,113,666,859,213,358,911,252,472,571,305,633,281,508,532,025,
762,616,815,788,733,564,112,887,395,354,892,628,422,148,003,675,519,288,963,
538,108,837,252,980,229,454,475,340,398,691,110,218,990,459,019,567,922,210,
578,779,872,111,611,648,507,166,163,662,882,078,209,369,124,499,207,376,373,
561,159,092,545,431,984,181,100,239,801,047,420,540,456,483,984,796,999,461,
921,862,365,098,306,818,111,580,507,072,221,140,354,677,728,490,541,595,888,
226,513,585,823,793,387,172,542,150,439,642,457,790,230,326,021,625,209,413,
862,481,854,515,724,883,481,287,796,761,633,142,231,867,757,524,922,319,613,
100,271,849,161,478,366,039,466,402,781,558,754,000,914,792,152,099,569,972,
523,059,362,808,837,859,699,726,545,025,249,104,270,125,006,438,002,043,293,
212,225,020,524,674,378,673,700,787,352,363,010,260,278,337,534,328,079,258,
296,714,777,006,204,625,144,234,290,818,812,666,072,753,094,030,409,096,379,
475,612,793,828,926,256,145,975,557,398,123,780,932,369,608,425,757,101,354,
191,568,606,320,596,171,191,194,456,128,798,059,067,821,355,279,737,957,025,
702,989,492,258,334,702,617,680,296,592,441,124,486,208,107,729,970,907,148,
634,955,458,706,629,822,570,354,743,579,738,928,729,462,123,898,224,609,778,
200,321,004,517,472,170,362,333,752,907,719,232,349,038,909,458,544,815,018,
986,820,547,543,425,830,547,984,182,463,759,206,521,326,162,039,989,248,713,
667,725,532,387,847,491,328,677,907,418,439,202,830,463,637,519,405,253,460,
617,935,166,032,920,245,223,952,801,270,642,123,613,533,866,909,349,774,894,
335,970,920,059,507,892,161,666,830,191,507,783,954,875,944,781,173,081,162,
110,393,432,561,355,448,076,886,803,732,027,724,321,546,118,884,504,039,690,
506,672,352,629,605,091,330,644,455,108,994,631,687,626,603,996,670,749,915,
781,019,092,812,705,693,957,364,734,349,160,303,944,503,021,901,992,246,400,
927,578,615,760,623,410,480,263,945,136,470,178,969,273,344,106,622,403,069,
093,655,200,136,233,134,471,317,976,111,152,983,105,951,800,372,799,519,909,
999,215,566,419,841,841,664,434,843,609,423,154,454,099,367,283,398,816,322,
351,635,457,064,852,762,220,829,341,108,157,677,925,379,628,646,427,545,963,
034,925,155,294,116,461,844,953,790,945,454,548,568,653,921,815,954,218,038,
917,104,232,064,675,691,880,504,389,137,774,326,540,126,609,953,811,569,608,
802,293,795,833,959,550,354,331,324,491,418,527,605,506,486,026,767,261,264,
850,659,976,196,312,005,665,609,089,915,283,941,493,477,203,787,078,855,375,
505,297,814,490,477,694,280,527,965,119,160,759,744,233,136,482,454,498,413,
335,488,442,297,447,230,460,277,164,354,189,173,677,469,769,613,408,977,640,
272,444,953,406,767,714,194,271,867,329,171,901,931,897,948,180,766,909,399,
411,753,453,918,989,031,127,296,276,065,996,445,161,385,058,449,321,167,580,
608,127,880,825,659,906,383,550,885,235,409,433,498,362,414,514,120,343,627,
358,051,641,012,495,593,696,636,757,132,309,055,376,065,173,523,382,527,713,
316,574,237,084,412,395,236,473,593,748,478,331,430,092,122,516,936,380,939,
584,304,892,203,448,892,350,696,959,083,572,956,856,234,943,777,065,200,511,
544,079,557,043,376,582,254,050,388,663,551,499,885,293,286,595,440,321,929,
571,048,205,056,598,836,562,641,496,098,090,839,224,008,242,862,745,073,429,
099,604,415,178,807,356,055,891,145,790,180,966,282,753,728,624,953,004,753,
389,939,532,740,516,211,596,631,612,678,419,366,181,255,016,945,610,188,372,
083,125,031,631,375,574,975,776,653,830,460,868,466,003,036,424,153,733,811,
989,237,485,077,981,623,085,158,647,323,018,525,400,687,161,185,792,953,193,
832,039,203,177,341,469,212,296,779,069,249,780,313,342,302,931,160,057,734,
758,241,164,291,202,485,261,228,605,174,168,682,494,112,099,098,688,337,437,
678,379,310,937,856,902,279,394,836,183,490,634,010,618,927,912,828,211,173,
294,618,233,601,511,932,630,512,692,582,344,369,156,628,166,862,974,251,119,
270,321,731,302,010,157,668,629,142,084,765,224,313,046,692,008,455,771,522,
690,275,704,156,668,532,933,756,447,590,961,868,590,321,316,507,428,371,451,
844,601,532,973,621,448,932,208,478,739,225,618,659,065,668,549,562,278,476,
263,876,739,506,942,750,096,933,384,070,292,719,766,303,213,802,941,089,525,
782,537,922,578,652,489,682,533,439,430,488,239,835,069,001,496,057,377,193,
844,207,528,156,827,647,786,173,618,348,647,665,612,727,504,189,627,038,961,
318,387,726,306,275,949,642,556,668,485,530,010,624,532,521,648,278,276,469,
286,263,251,950,077,354,868,082,777,115,832,311,164,629,687,011,273,162,141,
037,894,497,283,571,970,875,517,822,835,035,047,515,064,565,522,071,935,052,
489,441,780,953,131,907,830,809,504,877,902,861,004,544,102,303,970,848,117,
061,989,634,794,628,189,490,271,704,678,587,725,012,285,693,341,447,239,779,
714,923,030,743,381,049,913,204,442,328,339,586,004,376,853,710,918,204,441,
507,742,380,740,534,025,777,273,709,331,359,908,876,983,015,037,235,172,141,
704,439,623,842,802,311,329,526,148,538,107,787,414,971,048,628,096,269,958,
697,105,693,753,551,874,159,049,395,753,295,954,369,264,499,684,015,842,187,
092,114,916,439,974,998,955,327,009,734,015,183,232,439,367,669,550,155,136,
162,259,795,962,738,186,133,330,290,586,065,340,046,841,129,606,909,807,176,
861,753,948,516,518,582,306,594,002,634,476,316,628,919,716,409,451,063,075,
071,942,248,106,219,541,040,406,203,646,659,256,789,254,141,137,887,479,338,
544,921,831,481,979,389,479,877,530,228,689,448,857,339,030,117,567,160,067,
426,667,870,177,619,150,291,721,329,913,624,528,912,081,429,009,321,218,218,
616,588,054,272,019,112,731,026,307,759,749,372,598,676,018,989,055,834,071,
335,572,770,607,183,335,982,379,767,100,055,687,072,160,470,196,897,277,058,
025,287,424,728,587,810,743,310,931,828,349,488,977,015,218,782,083,827,604,
198,481,219,991,746,222,483,271,599,584,889,703,257,458,159,883,965,834,710,
541,017,995,171,081,401,032,202,848,550,414,288,619,958,833,642,064,209,942,
331,285,443,546,319,872,894,395,717,552,599,281,308,422,706,134,153,915,739,
003,184,998,705,699,973,828,562,080,101,834,335,403,396,117,815,038,968,938,
730,699,169,107,488,349,350,561,012,927,090,828,101,644,448,344,985,776,271,
613,454,949,025,779,823,829,044,364,270,327,942,375,308,617,047,692,017,866,
347,578,219,619,325,079,603,737,560,674,134,250,016,918,691,259,109,574,357,
160,084,474,241,143,305,067,114,242,256,549,938,214,715,364,881,761,236,322,
119,622,386,955,556,499,365,538,701,038,002,477,913,125,378,366,021,397,411,
295,637,567,780,220,732,372,426,885,455,435,470,727,130,986,000,882,027,604,
853,587,139,921,459,507,634,581,442,467,354,290,344,193,476,238,873,974,893,
514,762,127,698,027,903,082,628,094,377,609,306,397,418,131,859,855,678,794,
651,696,384,150,780,566,679,673,543,445,993,161,521,611,445,118,214,023,857,
573,040,991,867,267,563,069,395,604,146,181,501,540,638,856,349,794,964,405,
213,077,207,103,046,487,442,931,947,037,820,310,590,092,954,337,367,921,387,
810,539,192,131,575,665,855,967,120,007,898,452,604,001,794,405,682,115,941,
131,804,988,884,285,436,244,275,444,135,231,526,150,767,438,817,056,636,556,
417,700,676,531,514,505,803,793,934,516,129,205,500,990,487,923,780,235,424,
461,845,237,411,875,378,208,274,451,897,565,530,471,577,749,991,190,129,210,
283,398,795,181,035,359,277,512,522,722,475,292,079,627,585,986,349,838,752,
806,256,725,428,125,808,857,260,445,681,354,545,001,519,129,184,721,184,289,
650,146,964,946,489,728,005,403,229,946,216,554,786,761,444,023,767,885,462,
553,953,054,911,615,287,152,361,811,283,219,111,462,184,256,773,764,713,200,
082,458,904,867,230,287,530,911,350,069,499,027,044,803,767,292,130,683,703,
069,977,900,299,004,703,994,944,977,781,923,002,799,119,722,080,146,943,066,
507,758,185,477,096,345,599,626,747,164,349,620,813,603,462,606,488,925,747,
367,321,820,805,364,502,193,860,128,005,729,742,901,448,419,988,924,525,426,
412,155,697,885,656,831,309,467,730,666,153,147,838,108,006,050,803,348,434,
287,774,249,421,123,766,893,319,213,373,994,409,842,876,481,242,642,267,035,
887,852,578,815,882,312,554,948,214,444,580,949,794,804,122,178,380,388,488,
913,819,331,240,399,003,541,679,649,977,183,566,759,500,334,518,787,344,812,
898,533,302,138,173,875,082,573,008,375,935,958,937,911,990,717,012,896,681,
234,846,218,529,390,664,816,461,885,644,342,096,339,245,265,099,125,502,691,
369,010,966,757,483,785,870,275,458,096,291,190,305,397,033,223,242,801,229,
407,806,615,544,640,383,713,782,834,985,842,026,416,624,446,716,505,673,908,
264,121,760,228,877,563,479,806,652,619,413,365,701,878,418,792,084,795,228,
104,703,503,845,516,559,969,158,721,557,715,089,043,111,869,111,240,232,140,
070,101,796,769,335,776,737,488,823,713,795,994,635,889,578,064,903,755,024,
244,743,294,528,321,374,036,535,524,478,542,099,851,522,377,003,103,210,070,
774,971,004,961,197,096,534,416,121,180,094,120,689,202,431,645,942,418,843,
310,002,086,662,756,710,656,296,748,241,338,585,429,005,463,792,659,606,190,
210,402,898,972,661,834,505,805,031,112,139,035,094,519,065,190,324,067,664,
815,462,556,621,301,804,772,497,820,303,190,078,339,333,317,271,910,659,625,
167,563,400,104,996,108,172,966,403,361,928,268,828,394,830,451,272,972,093,
266,843,574,912,745,509,746,064,596,841,116,313,521,195,522,320,654,608,242,
320,667,625,757,745,474,314,909,374,676,679,592,310,900,985,642,326,945,814,
054,488,402,845,676,804,408,594,400,667,792,500,263,151,802,375,178,706,774,
525,191,792,655,315,923,781,227,509,650,464,614,670,873,725,969,201,539,029,
624,124,990,817,460,345,326,706,056,378,160,595,204,431,354,453,482,859,787,
178,349,985,879,853,643,644,275,251,632,496,661,523,159,195,856,456,325,712,
964,054,926,599,606,697,851,180,890,451,726,722,770,836,309,406,862,783,949,
999,847,475,195,438,972,982,721,351,407,537,572,287,675,203,320,194,260,896,
917,353,258,522,853,426,736,863,635,677,528,565,614,664,697,477,913,565,305,
585,621,588,677,590,730,205,972,220,335,961,080,609,158,084,511,065,085,481,
572,404,950,874,984,633,970,574,163,986,000,842,681,889,851,048,388,180,672,
287,002,587,550,906,598,227,556,356,343,805,543,135,049,994,343,749,049,187,
091,807,547,043,915,561,665,269,081,770,519,135,107,214,251,787,956,457,980,
121,204,138,069,408,719,008,000,634,490,967,638,499,994,719,033,163,073,541,
328,739,944,339,368,626,211,763,297,768,273,550,153,061,186,031,230,948,240,
605,400,517,760,944,650,877,302,829,906,733,582,023,804,736,500,719,637,885,
304,504,787,349,950,904,861,837,167,178,860,291,375,850,704,671,767,221,128,
354,497,958,114,841,364,549,822,603,204,203,735,077,659,812,897,414,982,255,
634,028,664,903,253,461,502,913,987,599,477,052,256,899,119,445,331,618,082,
863,333,179,955,520,348,226,439,730,591,140,194,113,018,761,722,961,109,012,
225,708,732,005,215,911,339,406,318,643,679,580,723,095,430,760,433,627,920,
974,423,832,998,272,435,349,293,946,577,988,218,659,520,372,700,701,844,696,
605,154,713,384,180,226,538,130,862,133,346,963,733,201,526,213,221,600,406,
038,058,531,034,268,368,579,723,220,245,404,046,516,205,165,076,986,174,792,
739,997,929,608,343,039,045,716,548,773,698,869,443,630,043,471,020,116,815,
241,278,210,404,212,273,862,696,821,217,874,225,609,715,412,710,885,805,510,
962,187,421,716,159,302,542,525,936,801,775,017,533,780,881,487,036,287,175,
789,251,590,686,044,418,745,518,211,435,222,902,111,430,527,502,477,103,087,
178,467,382,544,669,890,985,815,688,813,718,916,104,676,146,056,835,432,712,
536,712,456,756,735,818,075,924,634,296,655,012,278,565,239,631,666,360,651,
513,776,469,942,089,009,484,562,609,682,776,614,265,754,436,664,380,752,709,
943,857,496,412,479,457,825,717,851,321,922,186,889,506,731,352,458,869,661,
727,827,756,844,750,392,057,930,960,992,263,329,556,264,713,275,678,767,238,
241,904,453,894,277,330,514,538,863,368,358,178,526,266,129,832,115,449,161,
185,781,733,031,113,712,137,654,510,220,933,484,841,780,756,627,700,805,488,
607,294,113,166,747,333,426,804,896,900,575,332,659,927,075,501,698,287,939,
825,612,667,380,455,070,852,873,145,983,754,232,775,216,278,693,411,404,241,
018,225,857,671,551,213,911,727,048,843,572,819,624,669,652,119,889,623,957,
960,289,304,735,384,330,433,733,573,214,526,461,033,326,119,073,439,399,189,
883,879,333,825,790,150,870,337,597,019,073,447,776,851,117,413,722,981,523,
153,117,614,239,612,528,173,386,906,553,058,582,664,233,622,885,542,272,105,
266,455,634,242,422,946,429,219,275,789,683,032,041,247,942,575,225,201,152,
372,725,461,772,552,400,476,872,379,401,562,732,407,177,785,722,638,209,898,
064,587,004,186,961,717,474,793,839,594,757,416,257,183,174,884,528,090,793,
922,178,720,726,298,649,168,456,532,496,819,917,935,405,379,197,463,000,355,
280,828,292,054,174,508,953,541,587,263,640,283,619,784,086,559,854,661,381,
144,489,109,133,662,831,265,832,863,442,444,356,862,906,496,953,172,324,607,
978,328,371,849,622,259,832,218,652,189,272,717,262,763,206,254,360,847,648,
524,293,328,160,308,638,431,652,949,425,762,407,475,707,382,212,159,336,646,
560,930,741,384,345,247,339,029,917,599,871,369,843,587,594,536,993,479,023,
958,642,770,147,048,116,526,101,910,193,602,573,455,825,062,059,056,294,081,
532,125,167,757,678,850,530,495,065,398,845,480,952,485,477,564,502,579,753,
872,573,652,992,672,045,849,378,512,199,610,823,853,741,598,894,103,858,905,
089,132,033,447,554,110,361,237,789,523,609,418,804,890,923,707,394,018,580,
026,033,815,198,965,045,602,846,514,872,001,365,599,326,626,798,526,607,201,
316,773,528,940,345,657,621,077,595,057,186,559,441,403,404,668,242,397,619,
554,078,490,788,691,898,891,284,289,068,697,017,875,104,268,809,810,989,318,
496,983,505,265,009,664,865,092,703,036,132,602,758,139,919,504,863,083,118,
248,920,648,153,911,331,382,315,398,430,708,668,241,781,945,589,413,273,708,
630,407,727,053,751,022,520,660,349,494,353,763,392,396,764,338,225,357,174,
832,581,251,784,968,957,720,947,462,715,036,661,974,009,942,156,958,259,835,
132,308,534,448,451,744,824,928,129,893,202,165,841,187,389,221,087,204,781,
434,086,184,874,440,537,028,206,961,371,481,190,809,621,375,241,985,113,511,
293,224,604,936,459,994,025,483,668,882,707,924,429,754,188,127,810,162,496,
040,385,297,795,399,644,013,654,648,623,182,641,013,017,296,155,468,246,154,
352,012,815,080,249,372,100,935,684,643,762,458,528,374,761,518,169,106,138,
954,077,906,208,274,238,983,834,816,720,814,596,942,284,510,545,613,655,174,
546,940,513,055,977,246,559,666,848,768,327,639,921,419,116,529,932,757,878,
701,265,116,385,986,119,753,436,943,546,891,931,244,779,499,599,882,090,898,
763,380,978,227,084,975,624,446,275,046,050,308,437,169,626,477,295,708,700,
238,824,998,606,537,240,667,208,797,447,430,355,909,543,146,985,565,157,559,
204,221,081,264,127,207,187,317,855,315,436,579,682,964,474,170,734,240,173,
553,894,680,246,808,875,057,197,795,790,116,882,074,997,429,404,035,020,056,
136,071,647,660,562,626,654,606,670,188,057,490,262,248,703,487,815,124,533,
038,776,362,381,930,571,096,782,550,180,379,153,796,279,091,493,713,718,277,
089,093,966,810,688,037,550,030,359,670,514,650,990,043,173,123,076,189,082,
093,677,030,030,965,392,699,728,367,166,152,522,586,419,927,051,398,004,122,
894,602,746,755,266,291,054,162,859,580,780,633,640,695,009,212,669,340,314,
709,140,223,658,171,580,847,668,770,240,067,864,511,224,768,934,903,671,863,
952,913,373,484,113,726,046,341,860,753,916,639,495,308,561,148,399,015,951,
416,520,290,054,962,474,293,133,146,034,449,198,985,344,597,142,221,927,125,
236,918,097,593,171,898,102,379,889,654,105,422,913,353,901,459,087,137,184,
128,864,115,161,737,757,229,764,377,044,970,930,595,949,115,964,452,265,995,
149,396,360,766,586,915,249,525,945,861,347,857,537,307,709,242,152,262,011,
301,733,656,619,633,601,353,003,255,223,662,282,485,936,629,080,058,838,034,
614,943,096,764,203,936,229,564,386,208,868,802,795,820,015,602,243,988,700,
984,000,179,981,589,990,505,028,360,382,733,596,735,830,511,358,780,853,349,
113,102,588,697,430,933,724,937,900,824,694,704,434,810,711,290,957,583,117,
938,804,154,666,177,495,228,146,073,935,582,024,912,555,500,949,981,307,742,
098,747,844,883,514,575,655,892,587,831,280,589,636,899,450,940,179,152,147,
898,261,281,852,070,404,006,757,943,239,462,926,604,434,690,162,621,724,281,
862,708,291,539,355,765,554,982,490,850,498,097,552,731,960,177,558,923,725,
899,891,868,468,039,774,724,053,256,313,455,521,550,243,089,453,380,012,528,
199,688,144,143,419,896,921,448,545,855,923,070,361,468,176,586,948,295,863,
783,596,605,270,923,320,165,187,493,803,734,679,579,844,753,913,109,948,577,
171,011,789,114,641,029,520,065,321,891,572,134,215,236,456,774,644,604,978,
456,790,301,137,739,055,184,066,173,735,354,548,626,412,038,684,724,481,560,
795,355,772,607,402,061,492,082,748,285,982,765,436,064,068,208,239,747,146,
514,538,679,849,571,658,203,445,230,182,309,936,101,403,190,650,885,015,036,
606,313,843,935,542,913,823,875,634,352,328,780,651,910,624,509,094,672,012,
396,939,360,502,287,521,414,704,900,899,576,403,700,999,353,755,356,266,526,
698,224,730,654,190,306,058,251,853,884,754,730,397,843,327,035,821,245,459,
027,780,090,078,976,468,599,373,025,706,428,462,339,160,590,285,313,746,465,
034,853,084,524,723,357,964,512,605,142,546,095,986,215,910,558,812,373,578,
276,606,137,146,875,172,294,112,022,575,295,722,413,722,642,585,407,369,878,
863,282,876,616,492,629,173,229,872,567,114,050,559,124,456,572,172,421,913,
573,583,841,816,535,807,215,690,385,792,275,288,918,889,929,725,044,459,398,
528,423,973,161,490,095,341,238,655,258,703,406,412,867,028,003,485,768,398,
422,615,244,107,788,723,193,177,709,182,456,775,934,619,225,791,904,011,318,
817,315,794,107,079,509,830,585,464,812,964,255,432,091,448,625,077,229,942,
528,674,627,355,474,589,050,470,852,746,314,298,968,468,601,584,045,939,010,
709,529,228,457,607,415,689,216,363,968,847,572,242,718,326,607,043,660,306,
005,159,260,737,178,298,987,316,079,084,668,563,338,441,937,359,563,499,655,
722,860,408,620,029,346,946,974,513,839,250,747,408,677,996,421,959,365,158,
490,611,283,242,784,502,767,479,021,816,095,732,648,087,381,979,895,223,493,
336,816,940,625,534,777,027,497,043,950,201,066,008,896,675,636,346,652,226,
663,961,905,517,299,698,234,022,630,393,371,200,309,066,404,696,100,521,784,
582,288,032,915,108,904,114,832,279,166,083,261,962,532,007,793,516,790,418,
191,258,868,370,731,067,228,547,796,193,411,807,389,223,777,162,762,159,704,
538,460,482,030,562,557,614,989,480,133,195,780,715,275,129,194,376,149,995,
488,144,839,020,260,839,380,393,359,839,337,977,570,247,474,128,782,086,173,
120,177,456,037,178,814,591,948,891,441,610,806,255,884,984,717,301,922,060,
759,395,174,633,029,214,676,268,215,276,006,495,735,424,656,822,263,574,939,
519,268,506,828,224,694,624,547,561,338,480,987,005,917,634,559,054,593,521,
999,104,772,468,976,487,739,924,174,884,118,042,573,997,135,960,022,395,962,
764,064,182,873,238,791,871,295,095,756,478,406,438,566,089,829,790,125,629,
525,139,756,428,616,584,780,542,489,716,452,078,455,442,395,891,115,843,392,
705,516,155,730,166,134,163,970,766,510,354,254,810,985,989,405,388,748,379,
110,871,338,854,691,963,214,157,169,895,520,314,067,557,748,989,214,932,769,
747,844,393,169,346,775,866,033,207,195,348,552,135,857,538,827,214,228,412,
807,322,605,295,543,086,310,688,808,678,214,469,879,280,639,746,753,390,960,
286,208,550,462,635,796,258,549,025,802,112,129,711,316,129,409,218,541,963,
142,622,401,849,750,730,588,646,935,624,880,854,321,636,885,583,287,946,146,
546,769,706,042,143,313,090,740,955,872,786,144,090,693,829,899,378,274,866,
695,676,111,702,943,112,074,961,931,725,670,991,669,152,422,355,663,010,346,
301,375,386,685,325,121,221,633,697,534,775,487,769,793,712,856,286,594,008,
406,034,108,813,450,382,158,516,247,063,125,223,768,486,859,058,536,170,919,
748,319,293,475,684,979,560,820,589,396,477,554,602,796,920,955,577,408,578,
592,811,025,445,481,123,446,627,011,090,106,522,241,194,446,784,904,825,044,
862,598,109,893,625,803,988,229,322,741,431,276,314,783,848,530,503,117,514,
997,382,806,864,211,437,359,497,489,655,711,389,160,556,939,316,168,514,531,
064,680,224,265,689,142,074,760,487,761,581,314,097,309,503,842,136,426,293,
253,465,129,914,891,433,378,539,529,745,616,575,245,389,551,081,709,317,952,
914,732,414,239,547,418,989,194,397,727,891,679,453,520,479,193,038,489,959,
978,634,538,426,439,130,629,102,534,867,923,595,910,024,108,864,957,800,386,
846,608,118,386,017,873,424,638,047,811,238,061,811,190,489,815,485,457,408,
442,719,738,962,518,410,465,878,520,187,998,016,552,922,673,795,694,369,068,
973,024,430,918,385,892,367,095,691,876,782,730,801,778,839,603,700,835,980,
391,596,309,951,055,530,029,582,095,352,215,814,406,190,679,877,379,577,394,
919,149,246,027,107,833,915,379,599,456,720,010,386,383,965,625,785,013,818,
475,432,576,860,776,171,718,544,472,035,401,337,746,924,294,246,369,118,013,
486,949,049,491,031,634,196,018,041,411,509,189,549,362,883,891,828,244,796,
585,365,995,196,349,979,927,206,894,562,224,849,524,636,020,830,146,887,441,
471,432,411,859,772,495,300,768,524,167,994,526,203,356,786,349,717,857,175,
010,032,965,609,818,124,739,982,583,789,541,245,794,406,493,358,131,440,602,
289,894,660,165,077,032,024,521,499,802,632,337,472,568,651,733,744,531,208,
622,231,243,491,748,613,198,969,623,879,322,971,648,779,515,972,058,085,812,
447,488,702,509,297,468,667,822,889,973,593,572,146,618,161,871,539,930,713,
286,305,046,276,962,654,247,082,169,895,441,015,978,474,159,766,364,480,319,
249,314,925,494,732,831,380,435,367,394,884,709,812,981,404,839,432,872,349,
478,138,389,755,457,121,964,940,555,517,626,163,544,828,732,592,789,967,359,
103,091,458,369,757,388,233,003,810,971,258,455,557,648,583,761,603,663,679,
285,787,266,427,302,879,990,475,056,413,391,734,836,231,970,405,525,468,436,
436,558,342,447,565,553,645,444,706,049,341,475,349,950,310,760,628,535,475,
475,631,117,145,258,383,891,224,028,837,460,664,827,034,107,110,035,689,974,
088,579,901,596,854,948,744,042,260,663,533,884,203,638,826,017,717,700,711,
375,991,122,436,380,579,457,303,099,457,177,685,840,029,767,563,834,113,174,
038,367,008,372,208,419,984,710,517,613,800,268,017,555,947,811,677,430,668,
626,076,643,992,126,982,295,193,973,271,530,757,261,840,653,573,183,754,970,
284,714,358,110,121,796,378,596,924,457,074,880,224,175,892,842,764,524,049,
230,125,827,885,817,064,884,293,017,616,284,472,766,254,376,638,982,215,097,
349,581,976,740,223,286,075,124,499,283,815,273,743,255,526,121,214,325,725,
323,077,249,394,381,997,194,971,743,148,464,760,936,419,012,562,449,046,793,
425,291,753,165,273,322,929,495,204,558,683,421,271,545,258,031,364,862,805,
502,004,627,756,686,567,291,271,669,103,609,740,966,686,017,017,582,220,721,
100,356,038,135,654,729,304,265,897,883,155,169,795,414,694,706,468,236,431,
745,754,260,520,170,962,707,962,347,646,592,807,123,116,107,588,301,081,642,
611,106,493,698,171,602,803,692,323,838,774,442,175,628,179,835,547,192,701,
704,871,524,131,554,873,355,910,110,026,566,725,516,203,422,078,371,436,825,
539,184,878,495,466,012,069,891,382,034,795,887,808,181,350,538,520,597,229,
682,310,730,805,117,750,509,515,559,983,805,767,967,174,074,914,650,482,144,
433,653,355,932,067,885,895,337,694,229,679,595,563,956,706,470,356,363,740,
679,613,927,616,088,197,874,519,412,043,067,848,273,858,644,210,086,770,061,
192,478,909,981,830,175,608,691,674,679,176,381,382,887,646,782,992,734,696,
669,640,321,714,217,923,023,500,033,255,859,171,910,931,536,521,927,502,175,
715,165,472,332,142,512,612,532,200,943,262,485,919,531,105,919,637,456,536,
995,104,993,739,862,137,601,703,806,451,137,814,958,983,814,531,084,213,333,
319,622,241,213,137,062,673,201,467,809,089,172,064,842,963,136,148,874,001,
910,967,057,512,412,067,288,667,807,575,080,157,913,553,004,158,291,385,152,
390,613,050,260,891,248,981,528,364,055,400,333,539,346,534,945,077,480,912,
778,152,936,609,102,102,172,084,742,909,508,209,306,135,467,632,833,354,060,
280,808,375,160,952,859,083,958,811,334,725,898,705,261,302,236,002,155,291,
497,276,505,650,825,541,375,288,900,826,093,116,021,965,734,681,859,057,566,
998,994,036,571,448,827,961,507,064,582,432,377,284,420,000,362,574,674,033,
791,561,313,540,507,116,369,533,537,722,184,072,279,200,370,568,481,127,697,
251,673,337,100,153,862,656,520,113,948,427,145,272,346,443,879,406,410,119,
000,048,605,746,728,033,913,373,973,856,603,308,847,897,252,704,476,091,393,
320,143,186,884,730,856,934,655,233,528,097,500,411,974,413,221,622,327,055,
153,594,902,387,275,351,726,578,224,800,093,918,552,767,213,555,097,719,595,
273,966,646,392,856,267,965,103,700,025,177,912,785,301,404,138,708,186,283,
509,962,301,380,432,435,450,013,467,080,464,503,117,811,505,968,498,717,837,
889,390,523,024,356,482,880,672,010,757,351,503,683,202,821,200,862,635,619,
027,344,391,604,553,539,374,415,597,107,403,620,344,747,745,255,265,310,010,
543,600,396,812,179,568,638,815,009,567,171,506,237,894,487,429,215,443,202,
161,300,202,289,154,247,415,905,216,645,205,001,309,143,557,871,208,155,172,
762,032,522,085,936,034,398,537,007,898,474,425,644,575,432,998,912,838,594,
071,755,945,997,017,758,302,497,643,011,825,803,284,773,476,996,702,024,025,
607,417,694,149,990,942,330,078,259,315,855,702,717,678,443,845,090,746,088,
026,734,518,747,427,223,271,285,040,186,222,858,602,525,548,384,136,179,212,
894,723,427,774,133,322,999,651,053,412,633,712,284,492,655,455,005,808,262,
370,159,986,900,816,355,408,250,340,308,951,253,609,181,985,278,568,559,127,
948,138,918,327,690,079,896,570,251,209,435,723,591,249,814,023,416,921,313,
861,280,133,090,094,173,188,199,783,773,457,220,499,189,003,910,001,506,574,
087,454,365,326,740,831,577,211,194,066,417,615,664,029,087,860,740,106,133,
374,993,578,277,440,667,067,173,986,783,303,059,304,648,570,533,618,740,745,
016,790,728,491,810,219,763,427,977,545,264,346,028,637,319,553,527,429,865,
574,718,278,294,112,821,069,712,720,123,874,986,320,913,647,907,951,341,112,
457,700,510,775,029,588,390,242,670,467,661,867,480,747,520,983,613,438,405,
365,190,168,473,484,452,468,850,409,118,168,708,369,269,580,060,653,548,551,
346,997,974,233,784,800,286,561,792,966,497,706,812,248,009,350,888,994,002,
931,756,526,290,519,412,833,749,443,578,343,484,960,268,994,605,773,606,932,
433,526,910,925,536,518,215,838,626,450,413,476,887,112,406,483,705,514,519,
896,986,502,684,049,269,064,715,413,478,145,694,649,856,170,926,164,421,019,
800,098,573,044,879,657,062,684,961,813,047,601,692,889,798,615,215,788,888,
334,847,437,957,109,765,350,838,941,420,816,117,033,755,594,128,568,199,359,
974,649,052,243,009,511,803,896,850,719,590,754,179,428,368,154,101,851,206,
172,446,268,794,437,723,964,614,776,673,016,731,599,409,546,128,698,275,164,
467,384,528,378,526,975,120,214,484,482,312,338,105,225,895,356,953,868,696,
797,406,706,468,474,257,849,124,057,301,933,370,532,488,142,336,731,323,554,
087,773,216,831,522,144,213,264,977,681,727,312,124,287,806,747,680,865,049,
714,504,792,090,306,704,072,212,785,065,891,075,374,955,962,787,979,706,742,
535,652,401,117,560,525,749,777,523,741,217,958,236,110,042,659,633,903,864,
265,196,436,739,214,141,747,449,262,178,765,041,617,857,794,313,671,503,224,
080,502,738,202,812,416,279,312,205,426,566,042,067,099,612,720,586,778,798,
571,658,804,861,315,920,661,289,471,001,404,719,494,693,734,194,205,509,883,
515,970,201,261,927,466,511,476,395,198,758,041,852,077,191,196,155,194,934,
828,803,959,116,580,716,289,115,138,047,095,039,004,110,130,617,577,549,340,
528,658,494,944,469,360,214,913,169,358,708,915,325,231,107,500,184,723,849,
930,237,436,926,149,512,405,389,827,838,743,516,690,289,371,207,715,365,961,
294,916,948,189,173,567,061,612,096,954,373,270,021,580,622,953,762,861,869,
832,981,378,764,031,736,749,348,834,195,695,730,442,675,223,535,517,871,943,
465,083,593,339,009,558,554,433,582,862,556,476,211,628,140,782,795,922,857,
919,372,328,213,735,301,354,837,585,494,389,217,203,180,594,872,759,315,897,
675,374,499,709,833,302,378,961,383,824,977,951,099,391,869,478,316,042,385,
617,001,641,229,730,265,986,414,604,526,124,925,905,192,563,585,499,901,785,
205,535,700,357,562,807,859,908,943,051,485,419,052,993,228,387,256,762,372,
478,985,172,085,979,636,275,195,971,547,589,152,606,507,188,935,084,663,197,
975,613,064,168,358,828,536,417,716,914,254,339,242,146,019,932,974,179,146,
429,223,011,086,775,881,274,367,104,381,442,154,717,332,717,013,476,665,468,
153,939,244,647,001,600,476,295,450,542,986,902,543,316,706,551,226,987,829,
661,516,684,015,220,535,129,578,045,990,978,395,124,824,997,524,410,576,331,
420,344,565,685,273,781,247,130,512,697,877,045,121,046,187,141,971,067,820,
468,275,539,292,212,148,767,791,141,287,561,471,478,973,213,859,543,654,364,
850,517,818,798,538,609,076,790,198,687,638,647,515,721,315,628,131,290,511,
696,938,935,505,945,162,670,364,360,238,484,344,553,607,200,455,031,925,816,
426,520,444,425,974,080,197,679,686,930,068,269,848,976,789,083,912,584,520,
837,958,928,046,080,778,446,402,160,301,207,360,371,339,095,441,700,093,038,
370,108,400,911,580,895,468,517,013,640,195,130,286,699,660,874,467,241,269,
119,577,918,512,285,836,659,532,147,122,882,613,761,773,616,948,215,612,133,
462,466,439,756,521,680,422,442,758,947,997,499,960,416,395,064,212,619,702,
773,803,190,329,149,925,519,739,578,896,827,633,645,101,429,600,959,995,039,
596,196,290,947,555,790,798,379,093,641,691,939,095,506,535,415,551,478,543,
872,782,172,264,683,746,954,431,233,681,158,033,943,957,525,696,464,957,702,
774,396,903,921,573,024,971,307,247,971,214,167,795,671,253,212,533,069,581,
191,079,050,294,217,055,290,624,263,967,043,059,445,823,750,712,600,615,489,
368,871,364,822,389,279,978,339,285,712,416,087,539,291,254,733,353,528,321,
321,076,740,491,562,060,788,840,966,486,744,962,384,385,515,277,438,150,630,
957,655,432,407,535,242,566,197,353,889,525,672,192,746,340,475,673,044,621,
932,220,013,431,721,879,029,885,091,045,021,296,134,593,251,250,830,070,667,
182,226,291,731,590,901,162,928,033,487,273,314,757,981,360,099,140,487,538,
521,150,229,502,050,757,133,211,243,789,758,919,486,214,818,267,155,756,553,
321,437,909,030,269,260,757,019,942,932,719,776,483,353,476,453,194,899,434,
298,632,185,688,482,486,557,889,981,580,134,688,614,250,370,728,864,783,213,
557,833,288,890,089,740,449,191,646,481,786,419,799,893,177,725,724,478,470,
971,001,639,975,072,683,082,110,500,987,236,405,253,006,423,710,588,876,301,
024,470,405,040,965,910,088,583,953,907,789,949,444,570,201,569,829,937,145,
277,260,370,571,092,928,460,566,901,760,537,989,673,999,147,951,634,121,141,
681,041,653,376,480,283,556,433,460,789,753,776,053,637,825,673,742,922,629,
538,141,562,981,338,839,429,072,368,464,815,208,848,843,136,148,555,498,721,
409,684,577,030,025,158,191,287,067,102,897,744,284,402,712,651,444,520,485,
393,813,187,885,133,685,835,499,569,392,568,959,261,943,986,022,681,578,231,
819,462,412,161,488,784,374,892,091,051,808,862,860,461,892,937,129,906,299,
866,542,556,816,393,645,379,020,757,632,540,822,521,009,615,356,548,810,364,
429,348,220,867,476,124,625,423,292,435,814,430,840,767,451,943,001,419,617,
586,645,196,170,610,271,139,085,633,843,723,154,955,561,829,465,634,915,950,
922,896,154,283,093,591,931,058,672,906,248,617,636,862,036,983,362,296,767,
687,823,153,535,981,265,505,447,016,243,528,115,299,711,355,167,138,853,668,
758,202,930,554,154,094,818,861,835,000,347,756,817,580,543,085,049,282,905,
119,357,582,506,028,200,306,496,467,393,410,230,333,770,482,015,277,274,463,
482,328,476,754,128,568,925,757,793,627,170,908,609,439,906,779,266,659,282,
758,124,345,430,664,867,436,339,167,141,741,244,018,343,568,350,423,361,282,
983,630,873,394,273,371,559,901,598,441,462,806,161,167,675,032,428,004,621,
307,414,098,380,538,615,125,558,524,247,515,182,683,039,039,907,038,800,706,
031,777,430,132,495,279,041,979,154,164,699,290,245,314,694,682,573,299,633,
302,939,013,514,010,030,854,746,758,373,858,443,514,221,907,325,965,277,003,
749,577,606,669,109,739,644,712,919,665,843,137,106,102,196,678,286,093,831,
773,701,160,202,779,623,633,089,672,663,640,229,812,609,400,775,526,535,789,
164,461,680,161,807,498,975,405,529,633,097,640,174,223,022,535,131,067,188,
261,971,547,065,076,941,661,579,815,965,138,762,297,716,815,650,391,648,734,
978,273,872,891,326,528,159,055,576,239,270,311,310,839,996,368,113,021,170,
285,846,010,887,749,278,726,242,448,989,950,981,907,492,351,854,857,607,690,
822,897,369,823,929,013,073,666,250,161,759,094,920,955,403,679,907,082,165,
388,628,163,364,727,455,501,856,178,863,288,545,912,014,839,649,848,713,638,
812,266,598,386,870,902,713,398,847,758,952,539,228,717,318,511,715,348,485,
970,792,288,622,007,994,906,227,539,923,510,666,641,613,212,895,966,365,834,
937,311,869,112,494,127,781,020,572,757,562,310,901,807,973,405,267,469,726,
839,952,000,214,211,779,742,424,651,623,862,991,560,062,158,476,526,771,409,
561,822,494,686,252,745,783,611,473,927,675,669,025,978,405,952,969,370,835,
773,562,925,140,679,779,518,981,662,704,696,772,709,192,791,855,330,409,432,
802,835,315,925,022,368,362,775,855,736,779,768,137,002,637,795,059,994,534,
476,494,186,117,338,675,881,035,142,029,501,023,084,110,722,026,278,982,205,
538,185,246,295,956,198,320,629,356,026,479,518,905,412,163,666,609,312,512,
062,610,273,465,518,492,403,846,969,787,168,084,633,624,022,245,136,354,039,
902,874,937,293,430,204,923,891,647,934,283,426,824,031,409,102,138,361,673,
971,929,927,559,333,804,487,525,666,894,310,746,401,744,633,749,028,991,409,
696,426,234,070,348,849,292,472,797,420,867,634,582,524,984,158,738,617,487,
637,150,669,631,710,043,459,148,597,141,366,162,229,508,098,323,152,342,557,
933,305,025,097,503,092,316,691,155,739,090,727,693,915,774,765,282,335,814,
935,327,635,618,152,195,567,113,604,789,604,978,977,318,536,093,463,815,933,
077,467,848,375,112,541,223,971,186,570,234,082,404,214,082,545,692,109,131,
820,337,499,455,636,936,336,504,721,257,397,967,643,949,748,523,103,124,236,
391,981,843,092,471,263,551,849,458,111,304,245,432,442,874,093,339,947,063,
324,722,978,608,484,667,681,699,182,107,339,318,078,227,947,643,190,310,208,
692,879,724,398,449,114,203,210,720,599,685,614,600,719,423,120,433,215,659,
827,228,380,153,382,069,507,904,163,601,271,483,052,226,747,533,845,674,168,
090,918,177,193,649,153,934,509,674,799,510,667,579,489,742,873,877,029,134,
418,593,113,565,557,319,647,360,016,331,661,916,262,476,986,672,274,689,816,
784,298,477,174,905,588,068,728,384,405,816,040,695,009,489,236,295,013,409,
322,204,646,725,656,068,515,072,838,872,615,355,292,191,243,915,913,772,482,
356,212,409,710,234,559,528,228,331,691,146,529,222,416,834,172,563,159,001,
444,749,630,946,233,244,078,671,701,956,039,727,600,280,778,382,796,442,605,
122,284,555,885,274,875,537,726,257,397,847,061,196,312,840,351,339,021,501,
816,044,534,463,290,269,588,845,263,645,993,614,733,333,332,540,443,067,277,
789,705,354,940,192,197,510,298,641,200,095,028,932,709,313,809,247,551,387,
013,531,970,709,062,943,955,261,662,011,048,883,623,202,136,640,602,767,508,
392,492,279,862,657,889,641,434,437,719,231,139,045,879,304,375,643,863,788,
023,908,164,738,696,004,699,713,837,249,236,071,046,132,543,618,223,243,670,
776,101,184,120,070,036,767,058,206,470,537,219,932,893,407,863,287,303,434,
118,274,678,918,107,000,815,016,361,501,167,337,561,833,975,450,834,194,650,
864,632,854,532,933,533,513,874,281,645,784,968,292,847,425,838,805,004,545,
601,869,417,195,266,883,118,986,643,750,783,627,561,563,391,682,154,612,199,
809,396,030,767,372,849,840,192,776,314,238,382,653,303,365,802,570,782,801,
452,378,284,380,811,277,891,203,473,250,025,898,791,978,210,449,500,511,018,
212,683,066,134,424,520,788,876,118,531,168,050,422,701,799,569,756,367,156,
442,792,190,028,683,456,100,648,056,789,351,776,142,449,017,147,148,625,021,
566,464,339,495,556,871,537,632,724,107,341,096,436,867,005,407,448,894,376,
502,774,174,078,800,032,047,666,035,420,821,208,907,633,259,053,107,073,597,
621,492,109,093,063,599,023,699,814,748,988,998,022,651,345,714,098,683,733,
899,543,252,617,277,918,819,837,130,452,292,114,851,130,138,142,495,762,070,
550,634,908,671,906,727,782,421,488,131,559,558,817,454,096,832,952,604,854,
184,314,848,231,992,174,326,484,002,707,699,839,049,868,942,374,065,168,949,
434,710,593,486,614,418,066,837,340,255,366,407,930,407,074,100,916,897,037,
296,960,017,928,830,216,475,501,766,639,414,725,198,262,113,872,774,719,631,
036,658,516,978,654,727,284,196,507,159,320,377,459,007,159,870,421,718,436,
009,545,987,942,369,239,362,740,014,844,342,812,324,749,630,409,885,469,245,
385,332,197,327,239,176,397,729,505,101,807,106,672,399,323,332,203,104,322,
018,529,732,684,825,022,190,201,180,013,824,594,059,109,666,006,986,478,103,
190,179,532,955,502,069,674,313,232,098,626,949,057,179,278,569,853,301,737,
193,947,775,249,682,378,582,369,862,686,864,123,963,794,892,802,778,304,506,
073,216,159,474,146,750,413,387,398,227,099,944,063,352,552,765,325,963,668,
805,326,369,195,499,319,194,106,686,619,807,583,025,441,173,657,319,731,057,
101,395,613,274,974,954,587,323,044,418,028,192,223,115,862,293,670,103,704,
092,469,751,494,751,332,534,157,410,426,763,638,876,290,362,315,434,534,483,
195,412,399,958,806,157,880,651,762,740,657,024,941,653,832,020,154,399,379,
798,132,609,377,174,006,351,731,996,182,510,148,958,275,188,952,038,931,854,
946,113,113,510,187,574,182,013,935,363,431,044,583,442,198,483,300,724,438,
778,787,730,629,391,424,343,821,277,754,189,243,113,854,918,886,795,797,170,
317,032,613,599,358,276,529,719,573,954,461,109,585,904,056,738,235,893,736,
211,711,980,199,191,800,991,184,148,312,606,269,994,322,476,808,164,735,187,
282,347,732,345,859,652,889,390,540,335,558,769,825,645,264,840,251,762,877,
920,433,073,052,748,635,450,118,678,229,150,273,891,217,451,632,653,824,041,
128,638,714,331,310,107,834,548,116,158,573,321,211,741,980,008,367,827,765,
474,509,750,211,826,203,449,633,004,342,334,975,470,738,767,281,039,564,525,
071,992,106,415,519,736,753,829,193,808,092,297,638,838,061,751,491,849,348,
361,853,262,749,463,604,803,910,548,491,637,580,545,467,236,031,442,882,761,
004,224,558,760,412,611,500,302,342,893,071,001,248,080,906,186,274,499,489,
746,080,322,068,646,902,314,146,245,908,370,614,406,638,400,311,417,010,424,
669,427,456,647,614,781,106,313,758,307,986,574,694,325,876,463,695,783,440,
081,844,964,530,094,490,434,335,168,078,403,008,876,324,130,600,123,439,750,
233,524,412,477,477,078,689,445,769,151,270,736,952,976,440,648,299,146,600,
473,609,684,470,722,972,330,756,790,333,214,653,414,660,291,930,480,687,649,
479,815,726,470,070,284,836,298,411,741,046,834,644,016,875,497,168,003,146,
892,471,832,330,646,389,516,542,203,815,015,279,440,251,756,008,358,956,526,
630,289,638,406,842,457,525,673,032,877,155,265,302,838,407,648,755,793,061,
772,474,775,074,646,661,870,629,300,990,045,115,013,943,814,315,366,907,444,
754,371,785,290,883,431,615,628,136,978,046,486,156,119,541,415,430,979,915,
003,136,507,592,778,975,390,569,850,957,202,115,306,121,663,936,790,851,655,
087,639,880,666,052,747,382,700,776,963,041,294,408,089,431,019,432,126,212,
999,548,794,741,136,836,196,946,024,728,256,030,549,101,586,376,450,411,063,
299,658,454,831,799,806,851,379,720,990,125,204,601,706,234,984,760,945,871,
077,620,876,057,162,330,290,627,870,148,543,116,758,309,430,642,995,275,080,
050,541,066,627,881,703,266,016,379,343,980,121,036,378,353,183,832,788,371,
201,863,446,924,785,373,474,737,524,613,831,486,111,732,870,835,224,242,089,
493,551,782,143,139,627,656,374,238,744,819,205,467,743,658,338,080,297,408,
852,715,213,540,508,935,601,286,233,594,972,161,502,291,953,978,554,501,887,
718,547,043,585,121,287,523,642,980,055,349,627,566,923,627,854,492,863,585,
936,644,745,563,534,502,356,109,485,448,985,936,287,291,589,275,473,341,670,
112,796,721,929,880,200,362,264,303,324,391,346,254,576,890,358,579,984,933,
697,176,072,034,347,169,291,517,328,506,392,362,936,146,069,837,229,431,211,
223,863,849,169,160,719,005,566,899,420,946,618,951,438,133,091,341,665,274,
492,747,888,418,850,214,232,692,691,481,394,389,187,939,642,384,307,693,397,
251,132,497,871,266,481,890,946,896,944,854,591,021,038,842,638,360,237,454,
166,225,612,028,198,956,630,061,538,967,770,308,240,919,591,174,728,414,679,
296,063,764,720,790,190,852,274,379,179,073,679,020,949,827,307,754,602,959,
388,412,630,787,099,645,704,868,593,875,802,421,385,868,354,743,151,128,606,
928,280,879,722,090,487,501,337,572,631,474,185,207,791,964,347,630,998,107,
260,750,972,556,538,038,210,784,803,597,994,088,877,084,272,730,579,188,826,
420,135,217,883,310,792,590,571,586,464,972,317,551,082,743,302,042,833,170,
242,287,867,814,606,200,112,074,364,820,741,997,097,603,261,492,046,411,732,
859,278,201,363,070,578,204,273,558,684,612,107,574,519,409,875,766,763,211,
054,274,266,984,517,766,736,963,117,169,233,540,134,937,355,217,447,450,407,
887,206,250,572,144,986,822,340,311,708,284,276,099,688,469,588,547,464,554,
225,813,017,459,341,990,365,862,984,255,966,995,830,414,492,062,197,235,463,
462,406,644,414,901,533,739,763,414,929,241,227,571,680,442,013,345,852,363,
305,547,971,279,026,885,614,049,304,319,693,323,503,886,030,108,504,532,078,
141,872,958,184,032,805,867,624,296,328,415,215,186,016,487,994,649,398,612,
206,767,412,450,400,939,341,398,303,806,091,787,164,847,531,527,022,281,184,
121,635,623,317,436,543,293,141,201,132,213,058,916,592,073,275,575,808,568,
096,008,783,670,472,717,622,619,668,422,313,285,413,804,116,853,296,257,259,
476,556,706,730,129,766,961,179,942,386,952,283,316,601,369,975,478,289,294,
774,992,734,703,482,467,804,063,601,037,251,405,098,420,536,208,441,989,768,
571,805,239,750,892,384,418,551,717,346,776,647,420,460,537,191,703,957,987,
302,286,016,042,857,441,373,421,782,666,139,338,067,679,872,702,958,473,598,
644,671,578,926,261,483,825,103,092,919,585,749,486,730,073,570,941,614,257,
567,499,151,628,965,714,944,720,348,119,665,372,997,678,534,538,482,481,843,
113,026,574,440,577,642,072,381,880,808,356,113,336,226,435,622,301,985,338,
857,388,301,944,722,097,726,256,545,377,201,078,328,260,410,660,221,282,329,
074,065,254,793,987,045,583,206,278,658,610,051,787,076,158,942,995,886,634,
015,876,933,970,348,455,256,414,799,742,075,268,791,136,297,959,246,164,377,
635,114,095,681,609,801,872,940,960,653,551,845,268,433,851,054,796,038,425,
117,774,396,133,935,518,796,830,775,995,089,499,921,832,586,292,024,828,268,
919,954,005,747,232,795,587,154,067,029,597,444,423,291,009,692,732,294,998,
951,054,229,672,937,236,373,800,418,365,901,944,433,490,144,322,585,276,774,
647,019,437,313,801,163,460,183,272,472,972,398,455,074,482,185,163,500,528,
701,047,450,693,373,496,889,831,402,985,755,146,200,804,500,240,631,424,197,
534,616,872,655,915,652,978,373,463,312,227,664,050,550,138,019,446,758,445,
117,778,034,663,313,871,739,872,939,746,476,004,951,753,112,419,974,827,954,
456,318,450,104,099,167,225,892,109,332,772,248,136,157,008,340,812,264,468,
660,365,384,838,471,601,615,171,172,174,662,552,505,900,650,784,672,021,642,
132,835,488,260,153,026,957,350,032,843,438,000,797,391,260,016,527,836,204,
196,951,652,853,325,506,215,289,356,349,240,195,722,040,743,255,023,480,432,
712,253,463,170,702,673,259,900,083,272,696,443,736,703,835,038,179,119,195,
078,594,439,330,948,065,289,137,194,427,356,893,956,558,720,012,808,110,807,
159,573,031,254,316,883,334,650,780,318,732,113,458,127,479,112,347,216,003,
738,912,337,334,093,621,373,385,540,242,175,286,478,887,098,842,509,519,061,
707,916,360,652,078,560,423,545,489,061,241,389,310,054,225,485,698,881,450,
929,623,706,482,056,050,743,642,152,605,904,549,575,239,493,236,134,442,351,
999,892,409,279,855,250,055,675,921,547,964,239,232,524,207,439,613,812,706,
954,381,393,827,449,580,055,180,675,228,535,636,547,901,458,721,058,017,742,
097,242,607,716,735,012,605,009,121,739,871,984,415,798,412,795,952,564,207,
182,466,344,212,195,954,830,085,787,452,161,915,072,555,909,348,446,659,190,
334,863,090,361,990,295,302,375,663,878,705,421,804,704,522,515,952,545,941,
818,732,285,630,729,734,654,642,461,035,018,392,986,691,875,832,884,186,215,
637,694,524,235,432,786,132,369,986,340,100,245,123,227,185,208,792,453,647,
636,483,768,677,160,917,178,393,554,370,065,027,043,573,197,333,245,149,259,
462,816,791,003,724,442,630,550,152,797,500,782,052,628,377,608,517,483,084,
160,794,324,357,596,081,549,979,103,941,464,719,991,904,103,711,548,650,115,
687,236,149,118,977,405,301,077,774,780,571,254,602,755,079,583,289,807,442,
624,728,067,362,443,039,045,652,435,497,391,489,262,963,715,955,902,851,876,
215,716,439,978,123,562,974,061,912,752,340,450,402,991,749,778,782,520,202,
763,262,646,142,898,191,236,193,373,840,796,582,704,401,259,996,481,694,484,
087,361,259,325,721,250,916,584,756,173,291,370,281,520,303,435,921,295,917,
162,643,075,960,436,894,575,392,917,860,688,381,540,866,645,226,772,926,653,
320,288,256,766,200,784,203,019,404,944,641,996,766,826,637,153,728,008,016,
692,652,689,008,587,499,092,341,445,868,201,035,145,640,195,811,160,611,421,
928,270,132,584,390,158,795,733,510,749,774,773,159,337,079,532,201,052,299,
834,415,288,090,382,733,688,763,321,143,494,872,103,590,513,754,615,937,539,
995,445,953,953,259,066,868,133,730,603,107,027,590,975,525,990,938,436,461,
023,217,491,653,151,812,077,710,977,853,240,871,984,210,429,400,739,570,128,
779,317,007,665,852,619,097,945,608,481,084,981,759,591,335,088,654,270,122,
338,264,901,270,214,048,005,666,467,075,471,667,164,933,667,001,467,108,509,
486,791,373,365,843,969,031,143,528,322,191,496,257,600,904,193,759,415,369,
576,165,649,615,192,294,955,888,436,653,860,616,549,853,845,906,209,134,838,
603,398,896,649,525,608,280,103,477,383,707,700,910,960,345,185,688,566,458,
218,626,002,782,209,269,795,040,858,260,879,377,060,440,584,938,787,641,379,
921,509,652,425,540,579,508,525,320,326,497,154,337,227,124,206,711,499,287,
542,132,492,259,281,365,478,767,604,197,676,718,121,703,479,532,239,087,846,
969,786,098,606,103,593,001,429,045,361,468,608,212,820,518,445,021,139,588,
615,939,041,684,115,630,443,750,997,508,193,343,936,410,407,180,063,670,810,
023,427,698,254,787,980,069,495,978,299,623,994,678,705,685,978,013,053,904,
671,009,305,211,329,853,287,955,065,832,078,455,548,152,378,404,768,441,354,
046,960,718,389,173,315,170,494,317,415,792,323,134,212,448,441,297,156,677,
332,816,183,716,597,542,602,002,669,664,099,999,553,584,944,813,993,892,149,
102,929,071,536,596,586,753,148,271,843,076,870,960,771,145,921,246,250,967,
563,403,804,956,039,145,291,021,636,231,387,594,331,191,972,102,437,880,626,
997,172,539,589,876,622,932,331,259,850,722,671,531,901,359,613,304,415,420,
042,282,170,754,401,440,167,733,896,458,784,380,865,794,542,623,495,291,804,
469,157,748,297,956,088,515,883,620,281,733,814,307,629,138,421,848,245,879,
041,476,340,455,790,980,526,029,860,327,656,574,393,698,086,969,606,529,740,
939,984,882,032,680,179,526,208,883,339,236,427,687,266,251,956,841,228,611,
420,557,952,901,796,394,465,327,547,627,289,690,612,633,966,331,034,978,700,
149,449,266,416,497,938,676,139,131,689,340,789,942,172,706,110,645,913,569,
803,333,213,996,698,415,027,096,327,087,019,001,395,018,033,051,427,944,555,
165,305,819,530,341,725,207,551,261,253,123,003,515,275,317,280,909,298,157,
798,386,973,093,913,235,113,058,655,480,617,672,654,214,944,759,121,208,401,
308,365,087,945,788,853,152,267,293,409,899,530,613,190,239,021,325,604,624,
436,771,202,050,309,018,138,927,398,156,866,998,678,209,217,186,532,359,899,
743,888,828,002,410,748,224,213,777,357,336,632,912,107,063,385,581,587,003,
265,855,527,980,176,353,278,205,385,713,858,815,645,001,533,576,696,609,740,
770,354,747,310,292,804,710,468,449,676,351,893,041,643,135,844,033,091,503,
795,544,386,832,328,988,507,542,237,097,076,391,506,952,484,542,609,904,502,
955,143,883,974,400,917,266,006,498,227,899,909,149,062,154,583,257,472,212,
723,601,949,415,374,495,036,244,552,019,399,708,150,598,508,360,448,369,486,
713,104,791,391,772,995,581,554,743,761,727,109,825,585,494,458,502,536,414,
725,305,300,075,304,189,070,761,944,391,042,748,682,800,360,849,905,173,690,
116,734,631,112,860,404,196,962,426,644,161,030,863,108,384,360,510,641,985,
429,371,479,106,204,194,304,202,897,567,204,523,706,752,614,362,462,367,157,
231,565,513,144,932,838,158,207,657,166,285,728,561,666,017,583,473,825,735,
725,697,402,773,759,362,622,638,094,873,279,593,964,258,279,014,678,100,723,
601,612,631,011,055,804,223,853,094,170,635,322,356,126,385,839,719,765,965,
813,032,164,910,055,527,568,597,184,769,471,204,483,238,411,313,463,527,026,
156,793,256,865,939,483,558,495,033,774,112,477,993,782,326,930,835,947,049,
780,078,608,418,019,184,956,257,465,102,417,537,019,824,313,553,005,245,499,
181,030,616,839,977,160,226,978,817,749,076,388,490,379,107,991,824,730,236,
353,097,957,068,738,724,388,620,099,110,073,750,667,316,603,049,815,899,473,
004,209,940,438,223,420,650,664,902,591,472,085,282,586,785,247,373,809,340,
512,704,517,468,006,823,701,863,986,128,624,645,165,760,664,837,935,700,062,
410,795,776,246,770,810,169,388,271,337,331,196,668,235,454,152,482,210,932,
089,321,990,528,784,364,195,739,134,943,588,553,940,354,554,126,553,046,003,
517,175,792,500,629,946,237,511,912,374,238,622,432,050,007,242,911,710,606,
740,106,836,208,274,491,052,290,623,108,861,981,010,231,010,231,531,095,998,
749,109,622,434,269,756,338,450,497,257,269,852,165,167,614,768,898,592,074,
626,700,123,890,273,789,142,265,135,238,401,271,088,825,076,622,407,403,340,
898,802,543,441,557,196,292,249,870,231,226,863,603,171,160,399,519,420,656,
664,412,557,279,862,104,826,617,957,519,048,518,035,604,463,884,555,553,735,
086,420,924,631,908,097,343,553,417,551,419,346,503,946,842,867,631,657,939,
309,287,038,485,212,833,925,360,724,826,323,790,706,269,416,834,876,867,753,
981,473,054,616,973,825,343,129,008,632,404,606,929,675,130,046,779,446,723,
859,592,451,959,789,364,472,179,129,251,453,302,845,081,414,898,502,414,046,
106,764,046,762,723,974,414,601,057,349,635,395,355,190,409,417,853,134,553,
301,818,052,446,626,861,501,436,086,640,492,711,764,857,429,794,439,500,682,
605,109,977,178,763,389,352,249,955,260,063,796,118,153,564,405,300,646,454,
771,491,791,187,877,774,823,038,116,017,985,371,918,631,830,484,667,167,577,
464,915,189,216,143,668,459,377,483,608,919,983,306,871,377,856,385,670,140,
666,198,478,521,876,211,017,524,652,182,067,855,817,826,558,695,077,800,069,
908,889,486,789,716,810,788,187,222,072,880,999,661,645,012,743,808,549,935,
623,327,530,172,002,558,570,181,937,790,905,854,635,202,298,987,567,557,488,
133,491,165,547,664,954,135,327,732,548,985,726,512,426,250,417,976,972,110,
666,377,983,788,949,087,803,007,648,217,527,281,853,804,711,412,420,229,038,
990,626,112,568,291,551,069,544,005,470,453,728,968,038,121,028,129,648,036,
651,191,412,107,367,581,609,453,246,999,525,858,376,845,916,967,535,343,072,
569,808,269,958,721,547,699,209,610,514,116,984,029,768,501,587,138,412,714,
820,923,748,097,530,778,426,962,946,137,554,263,338,312,567,506,125,007,383,
803,024,872,644,973,614,906,146,636,718,823,145,812,710,227,871,861,209,752,
467,365,123,755,719,365,286,840,037,533,968,003,341,665,810,956,138,869,203,
040,855,077,936,202,856,474,827,458,498,166,724,829,475,491,377,871,270,571,
075,326,649,416,293,734,457,037,881,857,655,000,696,117,518,516,559,848,337,
839,386,311,569,513,871,380,174,445,954,926,671,127,416,517,895,078,586,311,
083,408,643,067,781,068,774,299,482,258,769,582,822,463,757,298,229,249,523,
224,800,129,592,129,574,317,685,519,972,354,452,933,602,599,054,019,904,763,
530,077,587,913,730,434,516,003,448,180,331,019,259,381,026,499,683,784,620,
574,632,864,792,719,378,926,046,257,422,107,215,626,655,299,564,582,149,961,
350,099,359,911,789,599,546,752,119,471,015,699,174,691,437,486,796,500,512,
129,756,159,658,519,872,118,206,876,874,921,762,845,224,270,348,882,487,671,
280,925,927,004,263,622,218,653,600,183,512,200,467,418,078,787,248,921,585,
329,248,186,363,871,234,375,819,304,202,749,190,708,744,612,439,942,621,180,
799,479,335,691,279,731,011,878,109,803,819,169,011,314,043,005,219,712,951,
435,835,468,353,004,654,943,330,148,351,385,070,988,614,148,154,105,113,285,
159,373,598,351,209,923,104,236,052,648,112,660,323,952,224,339,279,026,811,
849,407,660,970,946,148,869,542,545,132,662,142,075,373,433,712,419,991,334,
164,811,190,379,252,099,677,314,085,503,225,289,024,341,715,756,021,899,502,
984,139,693,873,246,688,206,819,203,662,678,461,148,718,767,409,523,893,834,
996,416,985,311,819,203,543,570,060,310,923,357,163,332,951,374,139,061,077,
206,495,738,345,371,830,362,548,632,982,324,339,979,206,788,960,195,881,997,
964,702,853,359,059,927,827,237,350,055,783,978,967,867,471,334,069,282,927,
922,829,874,468,526,429,582,430,587,047,096,413,674,946,872,275,295,341,249,
916,407,861,289,164,564,413,734,969,312,253,086,280,317,952,923,473,828,034,
700,324,406,220,935,174,011,356,099,849,965,306,581,049,820,906,161,235,828,
141,342,969,444,132,559,707,696,058,566,640,855,240,470,210,337,131,810,370,
845,635,580,928,899,554,149,334,619,193,240,375,717,198,125,067,852,564,305,
904,536,298,119,483,657,428,915,357,207,092,584,913,161,279,627,748,125,654,
347,799,507,258,833,995,053,755,782,137,583,276,629,060,667,766,534,822,116,
898,534,790,255,708,897,576,885,312,381,692,822,263,194,207,545,941,110,832,
442,604,572,095,193,822,849,106,538,591,124,523,081,586,827,736,154,666,101,
253,459,480,177,140,448,929,557,394,943,621,763,337,618,844,362,694,706,896,
478,889,468,440,218,011,822,911,453,542,850,914,902,884,720,491,680,613,194,
820,189,435,079,558,486,272,412,222,119,179,096,869,411,151,921,078,891,573,
149,000,704,407,312,861,357,981,143,306,020,718,067,386,599,255,091,076,444,
896,842,355,269,012,466,589,740,121,998,977,251,462,880,359,367,444,543,923,
036,345,668,238,705,827,101,345,871,533,146,227,935,893,603,877,099,383,652,
825,213,506,258,462,577,390,509,895,044,458,959,775,124,773,852,932,012,475,
299,473,324,504,280,763,612,973,823,304,908,177,794,285,334,208,786,945,137,
579,374,418,423,935,069,778,662,237,011,040,996,774,559,312,702,653,315,166,
425,010,441,451,387,881,145,327,424,563,299,787,394,458,871,584,714,728,933,
306,497,827,491,589,812,321,477,677,711,015,799,414,687,702,163,989,754,939,
487,007,320,901,894,140,030,808,743,982,082,263,153,937,222,990,177,210,977,
172,759,891,848,117,334,265,507,153,759,284,688,986,499,059,655,882,948,703,
666,389,398,786,156,274,039,349,523,280,536,016,518,414,208,523,822,515,082,
107,299,189,211,697,455,011,099,666,686,541,045,776,844,682,359,607,751,418,
061,785,421,941,625,595,062,643,885,570,596,549,114,989,560,640,039,149,317,
486,712,666,500,825,398,358,533,596,105,113,136,287,225,856,314,620,870,372,
563,777,767,791,426,369,942,482,934,043,518,954,984,394,837,439,464,422,226,
991,666,710,558,016,828,384,591,234,709,198,122,385,908,641,681,121,550,902,
315,170,234,936,557,548,476,789,914,510,513,569,470,158,124,372,819,946,624,
354,063,329,109,673,980,926,881,356,722,790,263,201,783,613,744,767,742,396,
825,777,495,942,094,144,594,203,044,649,853,607,571,212,887,453,734,890,869,
704,773,130,696,241,188,680,170,959,689,512,061,152,465,426,647,659,439,379,
189,616,047,822,333,482,249,566,575,375,871,884,737,542,096,438,862,817,107,
267,448,615,380,570,630,544,810,248,188,604,513,841,189,914,341,785,798,133,
095,608,912,787,208,915,076,252,315,498,787,873,360,380,599,242,257,108,997,
475,006,189,465,202,824,083,672,694,247,251,301,509,216,237,656,173,319,819,
060,796,304,341,967,785,866,005,482,298,580,479,732,944,022,873,287,918,810,
598,031,499,034,579,769,579,769,845,811,049,342,625,755,746,205,513,261,371,
582,891,286,650,700,747,799,399,286,223,127,839,198,097,105,106,331,805,694,
906,173,996,851,775,378,920,080,124,483,677,086,847,558,785,598,912,488,584,
803,175,123,388,423,447,170,275,931,431,019,240,202,651,322,371,143,301,997,
236,281,269,555,880,738,307,294,704,520,244,102,733,169,131,821,418,663,052,
749,695,175,304,136,736,173,972,976,925,914,435,097,681,054,018,484,513,727,
125,455,999,747,751,655,724,947,341,255,390,147,518,849,914,334,586,080,317,
473,655,560,715,517,164,323,460,952,407,935,990,042,786,108,265,523,563,506,
787,775,736,537,555,492,421,288,518,691,848,176,111,132,549,926,306,180,375,
245,938,986,645,251,836,671,786,432,508,387,516,274,814,998,791,794,597,265,
428,674,035,550,594,902,897,313,130,704,257,078,579,518,961,912,134,026,837,
317,272,116,087,381,953,628,393,969,796,433,094,293,421,362,946,022,710,203,
201,007,415,693,368,533,359,182,590,963,169,904,952,318,072,063,368,562,083,
109,256,370,053,415,028,935,657,513,723,530,325,094,101,669,202,623,658,073,
891,845,764,506,897,341,578,319,172,937,131,334,059,520,915,387,529,485,212,
824,143,746,266,869,267,696,595,554,113,471,404,149,249,768,407,632,249,396,
087,081,509,704,230,611,307,361,920,399,111,259,288,485,367,904,869,550,994,
200,371,523,361,234,114,918,489,739,282,592,092,085,655,476,500,768,369,910,
627,894,907,462,159,298,580,912,997,169,618,704,294,239,926,397,382,345,828,
231,088,351,847,618,444,667,622,714,960,462,548,067,775,048,761,891,942,207,
572,667,181,752,184,010,190,777,040,526,123,762,803,901,897,238,773,965,910,
627,234,921,606,728,034,392,358,409,361,577,996,286,806,169,189,812,823,671,
274,090,367,099,920,367,416,338,061,438,493,509,168,302,738,452,504,335,389,
426,180,000,628,817,802,001,647,655,101,044,138,382,400,889,433,967,786,742,
382,252,823,798,450,605,259,171,562,300,021,845,313,416,809,309,309,944,258,
215,818,967,931,419,359,501,390,775,586,997,167,484,773,161,574,433,448,060,
970,950,393,310,340,318,853,966,252,005,459,523,311,876,973,753,381,773,210,
229,648,111,986,328,447,070,173,625,635,713,772,955,082,170,581,324,364,051,
246,498,488,017,593,595,497,262,971,584,771,906,166,745,852,181,523,256,047,
433,914,878,566,146,343,782,628,664,616,932,119,922,365,093,743,197,567,251,
419,440,695,101,923,943,040,839,864,557,485,677,677,322,706,293,698,675,692,
943,116,190,510,626,884,818,832,005,040,912,703,189,536,804,041,973,603,504,
684,748,823,415,402,870,811,632,121,829,642,511,360,915,108,657,650,724,977,
128,720,308,603,594,923,723,884,282,052,805,193,160,460,139,101,407,389,502,
062,117,396,875,300,713,434,147,280,291,351,320,438,004,958,294,167,410,720,
045,011,595,589,307,375,947,325,059,002,058,363,250,391,493,745,255,604,877,
411,257,177,979,681,665,201,867,684,311,003,358,971,113,964,871,024,839,164,
673,565,677,937,189,558,644,126,059,504,633,208,245,144,228,620,303,159,491,
520,717,059,028,198,151,977,485,741,165,297,140,637,718,073,567,488,214,414,
896,708,524,315,698,323,076,890,532,979,384,934,359,904,622,962,614,434,260,
138,848,440,592,758,873,046,730,694,805,595,088,136,397,927,152,338,504,276,
601,022,580,976,832,894,538,401,597,898,183,663,119,405,989,962,283,286,439,
449,191,054,849,900,671,769,342,229,190,026,447,216,040,960,385,899,680,814,
308,354,265,381,825,027,510,961,677,499,561,063,330,226,702,910,209,464,663,
408,252,419,733,921,537,992,418,091,749,290,014,662,366,275,297,892,139,168,
978,502,895,276,211,817,315,219,112,724,379,351,968,277,044,130,651,866,064,
721,680,751,126,510,222,255,426,764,985,776,295,132,238,416,019,540,804,086,
257,304,681,017,357,618,554,538,038,118,610,961,050,898,887,719,451,357,735,
815,797,410,961,389,235,992,054,749,707,154,629,986,109,996,460,403,421,258,
693,156,619,698,115,871,502,902,007,053,462,991,876,783,645,482,149,841,241,
236,356,003,518,919,181,921,228,036,639,134,678,108,383,980,710,813,943,979,
391,244,532,540,959,894,803,395,235,185,915,911,962,386,737,151,392,478,323,
746,022,352,820,314,726,831,699,607,426,974,565,583,495,400,353,315,651,409,
474,956,156,927,115,920,064,734,696,193,269,419,528,912,738,012,387,790,355,
799,092,691,080,509,028,206,252,276,010,386,943,888,384,756,367,628,176,525,
996,197,561,354,521,588,435,955,275,904,394,671,826,989,896,436,736,034,854,
411,051,001,319,265,176,253,076,560,593,706,695,350,761,275,842,947,392,113,
597,819,191,385,974,115,397,929,057,892,838,989,187,770,396,971,151,866,491,
707,559,798,482,185,966,778,449,506,307,485,790,108,323,467,107,496,730,355,
077,979,195,015,172,905,765,245,089,443,243,327,165,188,307,918,956,058,650,
208,480,798,959,803,797,850,969,664,659,520,594,956,309,545,504,315,644,584,
946,025,324,358,925,922,007,667,058,942,953,877,179,129,977,500,261,399,196,
521,399,371,882,634,051,421,252,798,594,407,209,545,196,779,016,517,184,475,
448,464,379,033,098,884,632,613,910,281,898,290,456,473,010,302,299,410,448,
288,902,625,603,121,764,376,986,461,912,683,203,295,822,170,043,805,645,559,
728,965,231,541,536,506,860,386,728,423,961,860,131,993,390,437,789,865,910,
926,148,983,641,559,618,832,179,090,889,028,325,378,513,238,552,776,102,055,
680,188,010,564,577,193,602,525,192,451,036,383,340,597,226,628,278,545,446,
330,979,447,380,829,419,416,534,690,805,816,023,507,699,843,133,334,071,341,
602,687,364,593,274,558,861,205,375,826,771,221,346,983,025,960,435,910,197,
811,210,373,918,021,473,732,026,116,107,868,209,888,008,565,827,479,427,268,
965,270,697,791,338,603,147,433,793,832,876,935,137,500,466,388,017,982,898,
407,694,827,453,237,783,817,212,005,065,000,963,620,651,422,727,549,585,243,
629,497,375,188,230,548,865,028,298,831,840,429,623,176,110,070,770,723,378,
281,742,575,073,537,152,892,524,058,347,783,945,707,528,522,315,689,000,694,
616,811,981,884,818,568,743,729,478,996,942,980,936,550,200,099,229,645,147,
133,567,869,574,670,907,193,990,939,639,017,204,267,329,362,518,406,673,021,
893,857,189,443,114,347,705,993,384,514,663,471,161,718,415,325,433,586,724,
579,795,264,860,625,247,492,740,533,788,502,651,506,331,648,314,272,825,779,
295,259,827,490,354,791,101,462,583,985,580,815,811,906,087,528,760,390,200,
737,454,517,673,886,884,560,395,825,346,684,029,913,653,749,193,483,295,947,
361,295,125,452,914,951,243,673,620,032,260,801,123,699,143,608,484,672,185,
352,597,394,874,656,595,355,481,119,043,459,813,385,461,063,720,551,940,612,
409,573,840,575,821,119,628,759,305,032,131,122,149,368,181,340,225,440,330,
902,324,075,405,296,195,399,670,540,955,764,624,050,791,294,391,197,570,791,
982,888,948,072,756,321,727,648,247,662,374,597,549,787,721,739,675,317,108,
420,491,265,670,429,338,959,509,229,029,784,599,697,355,781,325,550,419,923,
956,640,459,605,649,742,920,393,210,130,047,243,969,068,627,480,755,170,082,
700,894,289,674,578,141,589,479,424,404,891,460,700,740,183,543,178,702,424,
579,640,435,579,688,680,044,647,440,723,220,920,666,267,214,426,652,598,206,
610,236,554,902,027,355,124,235,818,769,015,638,769,806,159,360,273,082,691,
042,356,391,242,757,748,796,693,978,335,018,510,641,017,784,178,800,224,571,
698,778,671,578,494,511,569,406,553,030,059,978,527,903,329,577,766,642,046,
384,424,202,538,332,830,174,246,369,400,055,126,006,009,588,076,916,202,559,
064,032,690,896,400,151,938,561,079,685,216,342,733,641,381,948,029,070,027,
932,485,121,073,003,636,796,034,428,771,064,051,490,438,997,315,250,007,737,
945,700,010,195,320,245,593,377,544,989,269,651,132,471,060,686,541,208,928,
280,001,690,410,321,648,175,818,087,295,646,200,213,874,856,025,484,415,664,
988,682,401,378,434,488,898,108,340,607,494,433,117,313,142,180,708,378,834,
817,209,655,324,685,318,749,106,229,302,212,925,125,348,644,210,814,385,390,
891,003,845,858,040,952,818,973,984,403,296,437,670,488,401,132,996,330,960,
233,773,485,765,816,160,573,384,949,578,540,810,501,748,483,420,034,558,850,
743,345,594,558,438,430,528,515,431,851,422,379,993,724,484,657,713,960,192,
966,451,780,083,767,606,261,024,567,647,298,789,344,812,401,384,978,261,031,
936,604,212,918,810,374,226,097,634,928,938,969,103,538,035,627,610,741,610,
472,303,926,835,667,306,160,132,381,813,293,853,902,335,928,781,968,880,877,
484,752,099,761,774,024,841,323,465,656,537,497,228,318,088,556,387,413,766,
806,294,835,840,585,247,422,336,073,970,414,458,766,646,987,782,394,320,365,
352,709,488,197,627,252,946,299,129,936,334,507,976,204,879,640,373,245,078,
893,113,981,824,931,714,932,152,696,314,487,274,698,667,039,607,847,730,101,
139,615,090,195,684,922,850,975,331,133,629,172,509,282,532,582,356,973,206,
939,775,020,212,396,938,441,277,342,519,549,591,774,519,251,326,941,889,851,
602,808,322,615,000,056,268,720,278,952,463,877,051,280,909,040,533,211,948,
206,357,465,810,322,569,117,214,671,363,025,984,425,590,906,114,987,635,810,
862,993,638,503,143,535,543,651,231,747,250,262,960,748,716,367,285,402,942,
307,568,498,721,449,409,176,188,576,417,599,265,256,711,293,937,220,571,790,
147,223,927,481,553,247,731,942,731,074,732,589,436,893,658,700,245,624,470,
223,265,168,094,965,550,844,961,764,511,596,057,446,163,704,914,102,273,097,
608,238,286,243,719,614,107,882,053,014,486,110,560,527,024,690,201,490,498,
214,406,336,310,512,042,789,750,908,043,322,415,828,181,328,523,499,435,956,
521,775,111,426,682,294,610,325,437,353,483,411,015,128,536,831,452,461,419,
832,154,723,088,354,327,787,340,447,453,385,378,983,295,130,836,205,311,353,
490,183,547,019,432,138,453,569,817,513,554,438,040,646,730,250,312,711,572,
144,820,076,398,659,918,501,955,424,184,832,751,657,869,183,246,531,674,895,
216,494,233,905,227,572,715,478,361,233,515,236,062,540,765,081,170,444,442,
251,527,078,421,009,605,798,884,943,701,393,660,009,322,382,717,293,292,201,
637,203,855,858,527,171,359,505,068,644,795,086,598,977,521,559,052,941,396,
271,394,363,652,390,734,199,188,944,937,890,259,685,916,614,814,488,700,525,
531,767,737,174,999,967,759,186,088,023,564,024,638,958,485,164,426,887,348,
187,350,889,432,071,200,672,092,138,969,219,540,537,976,402,210,624,903,459,
985,228,157,666,349,371,928,130,409,430,733,538,451,039,510,335,487,291,776,
167,209,278,878,869,609,100,742,619,285,501,737,918,242,823,784,705,437,772,
769,615,073,302,143,858,618,537,575,200,692,897,392,639,597,654,659,165,800,
379,461,302,361,291,097,517,696,311,668,171,332,073,516,144,230,841,614,528,
418,080,448,228,455,092,464,291,305,877,696,636,625,095,624,125,825,957,328,
632,073,077,694,532,785,902,612,118,935,783,580,064,415,479,061,918,075,882,
329,079,597,444,535,757,470,426,511,683,561,822,006,368,287,374,737,452,999,
739,611,606,586,755,277,947,078,408,797,080,135,879,320,037,328,602,115,283,
667,119,275,273,532,908,017,778,933,613,875,939,704,654,806,558,060,846,022,
670,785,309,107,039,483,316,565,528,485,512,906,261,227,312,591,716,203,800,
954,499,568,960,425,176,468,502,699,168,038,606,463,563,725,750,271,383,541,
231,477,399,566,034,556,141,494,102,901,633,268,942,034,550,151,146,956,279,
341,724,020,667,020,819,811,327,443,544,548,352,120,465,961,835,372,290,748,
232,609,607,749,938,077,275,669,324,547,599,751,865,034,272,684,711,498,966,
647,968,928,896,960,488,747,648,062,502,979,528,591,989,111,056,771,278,912,
508,895,537,573,325,774,462,812,549,676,052,624,181,789,235,054,297,214,396,
625,330,714,687,657,287,008,460,522,969,813,941,508,270,986,563,455,211,083,
929,823,156,863,905,443,653,106,584,422,965,401,456,009,323,619,217,899,288,
306,205,889,902,131,720,948,318,597,495,126,273,379,186,038,064,870,917,138,
241,840,809,102,866,027,322,484,900,971,369,419,796,940,952,539,411,004,839,
776,424,725,812,767,327,630,022,157,556,590,819,594,385,897,112,244,128,090,
698,183,146,415,712,654,949,147,336,684,842,449,878,398,278,118,855,105,326,
790,324,593,647,151,009,756,350,079,195,446,905,588,424,834,658,722,568,166,
541,508,568,252,731,407,225,039,662,881,004,375,687,684,621,037,884,876,126,
736,547,924,445,042,745,115,323,681,565,724,039,089,318,918,330,378,678,065,
899,513,469,969,527,474,018,275,630,251,888,939,572,659,772,501,058,392,803,
478,676,434,101,548,520,185,073,225,265,767,622,452,027,331,481,579,697,060,
004,199,880,365,183,940,530,358,711,070,383,378,137,153,185,317,715,835,899,
164,442,852,987,203,001,511,473,455,713,176,885,749,626,366,956,879,674,644,
787,969,400,226,112,227,244,332,972,588,461,627,672,337,061,779,090,824,677,
386,195,083,945,134,918,190,977,267,124,949,801,437,561,831,229,404,306,094,
422,306,944,446,661,488,973,014,120,264,323,829,945,319,290,572,287,551,485,
270,326,739,324,704,899,221,194,630,125,232,795,358,167,208,900,583,885,219,
589,113,449,008,936,903,988,377,349,926,710,750,424,291,844,410,743,226,825,
276,112,515,555,872,729,045,458,558,414,866,836,071,189,496,193,934,488,221,
317,443,767,334,331,772,076,781,483,900,262,497,248,419,368,158,373,991,299,
114,869,777,350,260,271,930,079,056,881,325,183,014,073,543,103,506,915,291,
098,032,473,451,418,142,457,996,517,133,169,746,281,526,531,255,578,050,331,
074,484,752,431,941,051,541,552,400,808,926,748,622,750,886,839,860,166,512,
970,097,872,158,497,595,487,492,647,800,938,936,764,524,901,865,036,599,107,
804,088,165,068,252,700,795,725,770,991,665,135,925,183,384,165,320,835,025,
961,448,803,297,691,360,295,161,320,860,391,451,017,992,307,803,339,582,256,
317,052,875,607,958,648,082,842,844,013,827,066,110,055,130,893,781,701,112,
914,147,345,020,297,534,873,524,734,696,813,767,994,711,487,977,457,016,418,
580,616,168,773,591,507,545,949,633,345,396,008,096,413,330,919,623,477,648,
707,932,526,789,597,259,981,846,813,822,013,066,076,500,704,511,984,666,288,
328,792,375,347,198,746,359,197,494,058,460,066,672,807,660,040,122,171,931,
201,989,738,769,994,745,251,826,253,983,760,043,291,439,512,143,416,047,153,
467,536,766,729,765,646,531,555,420,776,601,079,261,890,943,221,866,646,740,
184,273,321,213,667,629,014,062,305,537,662,106,656,350,952,209,671,881,470,
295,257,622,398,727,267,429,349,001,835,576,208,416,717,647,647,600,536,807,
079,785,089,553,685,426,664,221,689,911,318,092,044,710,718,561,333,532,869,
628,004,535,366,585,581,058,494,497,598,119,636,848,740,424,106,838,334,723,
533,285,209,903,501,626,259,200,698,402,288,762,526,431,801,092,615,116,913,
489,393,716,351,298,977,464,215,189,064,934,389,321,212,272,892,542,603,870,
863,010,528,091,617,378,013,428,185,317,782,383,193,064,330,158,926,160,909,
438,935,859,278,462,255,295,550,799,027,332,640,036,967,063,319,746,527,275,
736,729,816,067,378,972,012,798,822,684,941,410,490,028,274,942,161,990,642,
137,525,322,680,382,493,577,403,831,018,045,274,527,599,839,053,420,032,984,
176,792,716,640,360,804,090,165,806,641,293,780,883,749,157,038,134,876,577,
462,750,792,670,795,143,401,333,385,308,588,932,445,542,362,743,079,315,767,
397,390,480,278,733,238,717,872,591,483,957,616,580,991,391,853,073,563,265,
918,409,921,295,486,207,838,690,884,535,476,119,018,427,481,577,085,710,025,
922,611,296,855,770,949,326,076,611,356,160,201,828,623,529,374,652,375,678,
238,642,898,875,245,890,214,978,883,855,918,493,612,346,046,799,625,862,534,
450,046,996,690,203,483,576,512,068,364,422,628,515,719,419,140,185,582,449,
402,190,577,753,696,586,241,811,280,175,028,996,297,329,792,674,322,032,300,
535,913,517,354,978,406,649,784,572,589,739,749,327,548,385,141,505,068,979,
981,252,510,110,927,666,853,035,137,964,112,037,962,825,357,257,642,463,855,
456,787,558,291,817,236,834,890,998,828,192,253,772,496,929,247,378,453,710,
901,908,186,519,175,815,777,642,774,862,519,492,445,817,198,667,412,062,038,
681,662,360,200,030,233,140,874,878,178,286,875,285,954,937,320,670,346,570,
745,579,398,093,977,612,102,497,058,624,506,527,417,374,450,913,785,487,278,
551,666,249,762,057,098,471,991,132,695,635,516,955,091,064,333,619,849,325,
752,184,415,832,378,121,118,630,737,817,248,583,860,446,841,785,731,735,643,
787,189,775,758,480,526,274,712,229,552,624,906,525,668,306,044,507,160,492,
336,897,138,554,525,233,986,876,747,747,684,837,058,864,748,011,366,373,646,
080,372,202,459,946,481,416,388,433,971,859,287,127,190,596,290,378,088,265,
345,729,971,383,880,920,623,998,810,727,695,252,221,005,376,161,997,113,473,
222,533,537,754,570,350,029,868,181,261,454,972,110,605,670,051,803,015,200,
505,958,651,183,639,807,414,302,162,942,174,423,550,550,395,544,366,224,038,
352,827,597,721,728,900,446,927,527,034,272,037,240,508,582,465,068,319,203,
057,409,092,342,629,418,536,197,790,150,826,346,203,781,525,713,751,750,520,
273,380,121,008,129,512,545,028,704,872,967,707,510,456,199,843,607,651,715,
580,340,469,691,062,766,769,653,747,860,218,972,432,351,810,298,875,773,002,
257,386,339,534,857,706,848,977,111,538,401,839,156,119,958,702,124,932,799,
404,152,932,658,056,448,537,104,811,289,335,046,244,791,936,504,281,143,988,
921,539,885,303,867,972,547,170,554,514,013,201,826,972,847,806,823,082,045,
207,372,578,351,664,641,956,462,319,706,654,137,503,073,137,711,902,917,361,
540,799,386,968,343,652,396,135,821,962,657,393,908,134,181,848,670,362,920,
777,429,071,836,775,164,227,167,380,000,337,489,063,023,384,809,450,380,281,
734,232,464,448,805,353,932,866,432,934,699,349,331,167,355,551,170,888,049,
848,363,129,232,733,522,969,703,508,222,588,667,457,484,880,823,729,595,731,
551,920,609,127,231,809,859,123,964,768,464,122,193,846,518,402,070,810,069,
246,645,360,630,209,206,718,060,247,595,616,568,403,963,233,434,276,463,256,
693,223,780,755,619,847,530,619,783,208,359,427,558,909,576,567,278,035,189,
832,422,463,471,964,268,303,690,522,095,430,423,505,151,859,514,376,549,949,
370,090,548,072,088,599,028,452,604,428,195,953,005,094,034,206,210,920,398,
488,185,051,035,474,249,816,789,048,029,266,254,397,708,476,187,863,409,295,
303,968,311,688,577,279,852,999,958,952,938,120,708,161,218,042,644,120,674,
528,522,905,321,303,217,596,455,424,216,678,579,032,296,877,339,014,200,026,
926,370,083,570,403,298,961,148,538,333,525,568,516,097,314,708,672,875,976,
873,416,281,051,555,999,839,046,161,170,687,675,281,049,647,620,385,160,304,
342,679,510,990,485,694,137,475,201,659,796,917,568,072,328,325,697,985,361,
055,004,812,024,047,867,807,000,529,268,118,805,187,964,554,085,069,476,552,
004,029,239,598,578,570,577,005,149,756,396,923,662,615,657,841,020,445,133,
972,612,620,518,026,229,788,574,672,652,023,436,147,920,603,804,442,642,127,
705,915,899,040,801,001,153,949,777,631,771,878,814,143,279,372,247,961,748,
148,231,574,854,947,051,267,492,977,267,593,379,879,981,920,352,141,200,485,
122,103,483,992,228,094,938,355,524,248,484,341,580,752,938,878,475,295,315,
151,762,448,172,391,702,160,579,348,580,353,260,278,847,045,454,957,412,337,
267,021,316,103,037,547,553,599,175,633,237,268,188,815,115,889,243,676,326,
868,963,036,481,449,321,109,129,093,288,527,622,669,660,556,330,562,107,503,
807,963,682,963,801,420,593,396,100,457,697,644,174,184,553,190,719,844,082,
952,948,267,212,479,066,824,487,630,107,222,164,836,899,085,919,168,241,961,
808,453,613,679,999,656,162,394,268,502,681,033,860,700,954,776,102,105,408,
009,322,080,293,359,215,422,473,631,324,874,240,486,392,981,489,804,551,692,
526,735,656,509,351,383,777,632,339,778,013,291,328,300,192,271,862,929,767,
671,000,011,338,575,903,296,553,796,777,374,323,430,780,920,200,793,271,827,
283,665,880,828,133,777,371,680,949,930,093,666,645,557,717,669,713,868,555,
454,244,276,188,075,375,777,102,450,126,294,431,652,656,068,947,111,136,926,
825,697,494,591,329,195,304,963,608,480,221,990,958,372,089,432,427,184,162,
092,230,490,986,733,391,071,232,461,347,994,366,127,605,648,835,314,202,038,
380,609,304,371,246,427,624,040,270,719,038,382,644,456,416,518,459,310,158,
853,594,298,691,018,008,115,167,048,763,540,187,978,600,614,144,233,955,798,
891,408,896,240,687,989,118,411,647,134,632,605,422,509,747,692,686,969,302,
409,277,337,390,688,859,025,428,838,314,835,968,885,157,960,160,768,903,863,
855,351,563,810,084,205,394,431,240,622,069,762,177,225,209,242,832,384,577,
469,738,855,308,420,343,132,159,939,487,414,419,268,732,678,141,561,060,925,
737,086,316,104,638,516,094,367,064,808,945,121,107,072,412,369,667,459,470,
311,343,046,586,958,299,239,681,740,022,843,251,334,919,668,485,274,888,472,
245,260,563,882,288,960,524,431,089,850,809,702,892,319,430,861,614,639,449,
207,757,336,247,210,111,318,228,029,679,017,339,417,988,823,137,192,956,677,
881,967,468,566,201,877,881,756,290,526,680,192,335,947,443,910,504,919,672,
415,860,581,392,978,801,580,861,822,328,367,394,504,815,617,509,692,766,134,
685,594,228,392,078,025,600,404,712,653,720,852,998,085,359,336,088,119,880,
021,130,684,280,224,638,718,287,745,405,781,235,915,619,599,924,681,178,096,
204,931,888,777,833,653,349,850,238,469,629,227,212,140,906,676,063,979,448,
714,381,490,042,183,390,465,913,715,451,728,644,197,766,605,718,742,036,247,
396,847,127,127,131,602,078,267,218,158,299,332,192,232,421,164,764,101,516,
250,977,337,978,787,100,752,616,774,796,279,488,667,951,590,326,743,368,166,
041,817,172,785,263,769,332,001,766,134,731,141,006,474,491,092,395,359,573,
901,414,760,467,782,405,004,610,997,265,695,228,160,488,288,962,919,011,393,
232,628,113,127,647,513,619,819,742,276,248,579,569,524,548,958,944,671,735,
286,198,074,850,967,575,281,305,691,622,288,160,722,795,071,485,781,243,800,
310,926,013,768,103,130,869,955,963,760,704,088,231,471,139,631,054,773,209,
111,373,953,932,320,211,850,800,820,422,761,121,474,665,053,558,535,736,582,
891,804,263,551,761,564,864,298,379,470,454,145,026,227,216,544,249,994,937,
897,098,977,816,990,410,630,732,738,441,631,088,562,206,603,065,668,687,252,
014,847,267,097,181,775,893,822,444,540,928,486,822,229,402,188,147,658,928,
544,965,463,509,194,160,923,394,270,085,307,940,043,648,038,609,968,122,675,
194,369,950,611,071,503,109,654,640,857,535,931,697,411,250,113,883,788,536,
358,288,107,583,323,937,098,673,652,142,036,297,069,229,527,158,613,204,855,
760,175,292,510,097,390,627,528,534,459,410,625,166,196,162,195,031,806,336,
288,066,305,258,900,891,516,441,879,569,198,094,891,740,487,667,489,256,614,
777,338,433,600,167,704,471,644,947,784,286,519,936,265,046,115,214,549,274,
045,412,844,390,311,984,474,035,991,603,197,984,244,753,649,074,960,197,778,
277,694,839,978,700,508,070,004,099,336,254,988,367,296,276,304,327,567,954,
521,896,969,451,597,755,172,319,262,399,061,141,837,528,169,439,945,248,098,
088,280,097,053,706,445,389,158,177,665,054,215,602,612,129,314,456,318,509,
829,916,012,933,824,851,569,530,472,506,285,533,899,238,764,322,125,038,045,
061,024,629,212,211,425,712,952,980,514,031,801,767,169,769,850,107,706,434,
604,443,306,960,051,245,221,906,960,756,719,220,572,747,103,990,589,446,972,
046,336,781,748,321,002,027,677,418,840,756,268,027,087,233,182,881,708,929,
661,355,763,263,352,133,766,739,788,298,232,506,918,729,700,199,935,013,797,
290,815,431,591,043,396,371,693,765,338,401,436,422,772,333,447,062,136,055,
454,212,806,310,380,802,591,869,830,001,618,518,887,523,011,223,794,139,360,
635,432,607,845,083,446,920,054,840,792,370,065,448,893,478,233,983,632,976,
755,094,675,401,239,749,251,086,536,685,818,330,916,674,923,246,136,749,801,
083,964,593,091,996,582,162,625,590,983,311,006,626,063,496,507,817,182,641,
561,629,528,016,505,670,029,705,985,949,163,372,659,986,416,877,529,250,651,
226,996,541,455,864,276,408,659,466,610,930,372,796,719,580,480,052,981,371,
837,820,987,467,888,882,324,935,032,503,573,248,315,600,115,320,594,552,509,
774,730,467,347,670,705,654,498,888,996,067,471,019,159,367,644,345,346,316,
061,197,240,620,466,805,766,636,537,957,307,718,988,219,679,564,211,373,222,
214,848,279,296,599,722,602,369,073,798,287,930,649,488,671,556,944,375,087,
334,244,626,651,278,843,077,904,685,354,793,849,716,831,207,869,670,330,764,
994,126,150,097,035,362,484,027,785,003,784,180,599,310,912,215,934,597,936,
536,903,441,991,896,358,919,855,399,439,940,915,747,131,186,930,109,879,636,
792,315,144,371,769,815,053,833,985,940,360,313,672,580,440,068,765,645,068,
736,699,464,156,884,182,146,373,579,578,474,768,084,786,703,851,626,787,204,
833,834,512,342,329,234,275,765,771,593,556,520,223,365,609,811,405,726,410,
212,490,117,268,212,192,420,461,680,306,151,434,316,657,639,342,264,531,462,
514,492,497,259,865,138,957,641,318,620,619,966,748,687,859,440,324,908,472,
175,318,052,585,119,624,985,884,149,197,576,340,039,733,165,686,255,418,523,
810,390,372,408,584,451,480,385,973,086,048,305,628,773,193,015,808,879,457,
017,073,317,738,977,736,881,080,309,826,970,874,973,199,879,654,849,477,042,
179,199,710,098,634,429,454,303,765,385,677,936,874,569,480,762,483,676,135,
964,373,270,298,799,900,019,448,326,278,445,065,761,439,951,346,087,820,493,
418,586,840,070,899,434,724,501,047,666,925,138,695,132,083,929,671,411,977,
699,121,654,894,168,108,715,068,874,374,487,756,376,727,779,021,034,414,536,
096,330,150,836,740,866,651,119,234,949,890,513,509,834,096,216,799,321,621,
888,533,737,814,222,423,939,544,723,949,478,079,774,491,287,060,638,719,299,
973,390,848,436,520,364,896,159,872,212,082,650,465,349,951,229,072,302,651,
140,854,099,973,121,865,637,673,508,583,011,991,785,083,185,916,210,710,403,
562,967,931,762,060,990,469,589,941,578,520,842,530,129,473,490,614,622,130,
895,062,704,999,060,159,950,913,721,646,225,819,499,520,681,856,150,766,612,
247,998,828,559,860,586,302,108,659,195,287,496,740,746,855,340,669,433,630,
233,720,303,380,772,096,460,845,310,919,210,276,323,493,436,415,088,863,394,
653,368,373,463,933,469,294,945,041,553,847,144,889,103,443,504,298,058,220,
872,333,682,462,666,658,282,565,184,564,994,262,013,588,613,183,577,413,347,
065,360,753,465,087,849,973,403,309,021,690,506,762,856,843,692,147,205,557,
360,641,372,495,192,974,046,572,034,567,148,919,474,540,131,603,623,468,331,
886,367,067,232,083,452,811,898,545,990,218,221,151,921,540,237,230,714,192,
795,086,870,777,253,262,020,371,853,792,922,821,227,895,892,538,237,405,834,
816,855,127,492,520,689,802,079,780,142,675,569,041,134,669,821,022,288,539,
316,020,283,489,770,670,870,892,611,740,381,109,767,966,114,863,193,368,166,
408,972,724,296,039,929,315,216,804,788,283,216,683,328,964,713,176,929,250,
134,131,863,790,728,588,753,527,328,400,058,632,691,093,830,796,754,505,760,
184,993,715,315,685,279,502,512,492,213,608,498,117,401,382,919,909,050,957,
206,586,952,632,673,767,354,019,421,875,725,832,552,994,174,649,572,825,011,
701,883,099,041,505,769,127,170,226,759,589,370,952,404,869,173,112,715,220,
053,496,894,025,542,737,313,472,399,679,345,420,157,577,314,718,444,694,016,
701,865,581,306,587,323,909,638,128,572,435,716,729,433,639,931,140,128,451,
136,298,531,695,202,700,084,698,771,304,386,260,486,326,875,291,850,386,049,
549,699,502,319,286,652,491,644,917,710,574,968,444,978,786,944,042,320,747,
140,279,491,229,156,044,975,524,657,913,993,599,070,269,673,921,775,399,488,
414,907,500,902,353,605,674,800,221,883,577,780,023,806,078,113,061,047,273,
299,541,750,486,118,692,286,780,193,458,804,258,411,473,088,946,748,329,949,
556,541,984,671,133,256,991,536,477,904,790,993,242,764,895,200,816,750,516,
356,437,870,194,269,279,567,215,736,997,153,405,254,011,665,788,366,295,696,
805,510,594,026,604,525,021,697,878,174,379,019,607,103,632,471,163,965,483,
347,894,253,813,912,202,282,808,653,237,746,241,209,751,773,034,023,470,440,
629,833,921,033,693,049,293,491,723,728,448,382,305,590,521,706,674,090,662,
378,676,313,270,916,400,325,236,558,241,032,318,202,804,782,093,381,110,636,
778,283,506,783,283,897,224,586,797,720,413,995,952,996,388,660,170,613,750,
254,601,111,359,426,146,631,031,491,117,528,085,156,493,252,626,399,656,074,
613,999,166,376,216,875,934,463,058,199,225,661,803,470,179,995,558,628,004,
262,839,478,425,933,974,370,467,420,765,840,727,890,837,327,818,211,621,471,
667,692,863,464,162,725,318,392,005,625,145,727,117,347,605,226,292,965,775,
271,375,849,688,429,488,345,742,049,567,318,663,012,665,712,832,479,265,739,
915,321,439,086,656,082,920,979,495,679,576,544,764,579,754,876,245,508,927,
091,101,036,425,848,825,926,507,587,581,484,162,682,455,236,468,849,024,016,
907,218,142,178,169,476,982,316,907,679,715,584,656,029,887,246,006,105,078,
880,523,663,640,430,086,992,360,888,235,936,095,374,656,874,692,054,397,237,
588,870,299,091,767,360,999,298,942,559,821,718,763,111,948,508,741,767,308,
528,423,456,596,873,840,603,875,451,534,833,439,744,373,718,492,968,347,596,
899,592,536,542,304,674,445,577,940,019,865,950,743,427,772,415,954,755,585,
813,459,933,756,633,885,506,938,483,628,886,815,802,220,690,117,590,803,965,
178,728,979,576,338,511,625,759,053,190,051,937,218,800,234,921,825,795,625,
911,782,770,234,774,092,938,681,904,740,040,667,339,012,601,199,063,451,237,
525,168,865,042,180,353,920,106,420,195,848,820,567,661,608,489,355,004,091,
719,022,203,529,067,489,469,563,140,562,175,047,192,274,275,067,633,133,251,
276,763,667,693,447,350,541,339,205,412,872,065,246,206,475,108,049,301,663,
266,436,956,465,522,864,723,247,707,854,220,861,354,008,585,416,806,507,475,
804,932,355,070,552,205,548,981,327,409,452,944,862,276,281,461,928,023,575,
777,988,588,122,823,613,445,212,161,810,836,456,966,686,565,492,610,729,983,
210,650,795,413,087,924,212,836,790,867,397,062,543,404,806,405,078,299,813,
890,535,079,048,635,589,449,236,495,279,367,828,375,127,825,655,775,057,891,
260,515,100,080,705,709,402,897,935,483,837,574,748,916,670,477,942,282,868,
431,122,755,103,377,716,979,368,244,198,989,247,148,618,386,207,763,026,036,
685,106,553,541,501,292,694,193,165,553,830,210,217,135,264,572,274,862,374,
513,127,897,831,475,620,781,715,680,090,565,100,318,611,434,734,434,733,799,
516,100,466,358,961,310,903,727,346,297,387,611,029,254,700,652,215,800,007,
043,779,079,413,988,732,390,922,183,716,352,844,887,969,388,408,157,881,887,
579,130,587,479,700,056,047,047,593,115,894,391,399,811,994,690,113,688,702,
576,850,893,142,907,559,058,565,167,440,109,963,362,543,025,469,967,424,417,
815,572,938,498,349,061,647,043,010,353,007,390,390,806,949,083,772,320,405,
920,657,794,625,815,950,159,946,985,146,298,886,998,678,120,434,703,939,566,
032,103,765,208,379,146,551,954,968,611,736,922,312,519,467,943,989,284,540,
617,366,900,726,431,692,610,632,640,413,152,935,341,280,230,819,764,118,681,
613,985,289,365,022,196,031,103,595,129,584,599,386,798,754,711,908,413,393,
872,549,949,236,912,557,943,348,517,217,595,805,824,951,662,054,533,450,882,
598,094,240,122,442,841,385,030,003,695,032,863,688,281,011,441,310,337,027,
734,503,592,157,618,166,861,965,068,124,009,126,383,131,926,446,241,560,853,
187,275,517,473,507,719,836,427,960,604,324,276,188,962,581,747,308,166,815,
555,133,675,883,308,406,740,457,406,055,890,011,067,279,343,113,767,860,365,
323,713,004,591,199,803,073,709,549,244,557,809,193,678,909,566,610,465,309,
400,108,439,078,236,569,810,291,321,264,746,360,642,208,940,000,927,078,753,
010,247,978,916,555,418,968,366,536,415,071,208,210,542,213,572,860,813,175,
703,286,584,143,873,798,693,858,453,897,929,641,544,367,610,695,291,765,125,
209,165,081,363,913,660,009,632,954,139,721,136,167,092,192,245,968,746,781,
208,939,861,179,710,651,807,505,271,180,356,495,210,721,592,470,218,288,628,
007,662,348,816,836,912,322,251,686,584,289,737,327,882,689,872,482,431,986,
890,389,942,247,280,072,384,864,254,862,430,979,043,202,134,823,618,627,766,
216,370,938,159,192,146,051,451,524,088,921,172,315,034,955,253,545,352,158,
694,279,880,961,861,249,283,410,145,495,902,472,953,508,056,840,803,674,572,
867,474,496,698,860,334,735,639,754,647,909,546,618,618,551,844,325,698,945,
214,783,102,919,069,671,676,697,874,854,045,170,212,422,768,847,699,136,823,
426,777,880,782,840,241,195,168,528,896,298,114,442,333,023,153,653,972,748,
953,695,450,999,791,608,604,573,641,762,556,569,397,942,995,724,750,308,880,
393,066,351,126,490,307,882,797,203,789,811,197,163,924,181,666,273,372,566,
728,513,598,805,610,061,807,701,831,101,708,910,881,084,531,228,264,966,490,
754,096,041,463,584,708,333,402,734,980,893,210,361,243,177,037,287,965,439,
429,970,690,190,906,427,981,233,065,931,862,237,105,106,191,613,314,370,278,
911,324,043,123,815,932,456,477,923,028,244,315,335,864,218,104,675,197,297,
572,132,331,942,995,720,138,513,782,520,161,037,880,875,600,452,756,683,030,
121,510,906,742,679,333,289,385,491,871,746,276,064,688,355,992,909,883,685,
933,233,162,890,090,460,857,386,083,401,952,316,000,167,375,903,620,426,234,
131,123,231,104,420,548,852,706,702,454,986,920,825,680,099,567,366,867,683,
591,873,365,981,366,796,316,237,090,434,610,469,097,514,778,524,822,076,780,
565,024,707,138,800,534,076,336,807,333,043,191,099,475,879,924,789,254,644,
536,364,274,215,975,061,595,058,604,514,224,844,465,629,891,859,820,345,722,
515,101,759,670,440,581,730,810,388,722,443,638,273,848,706,046,138,380,585,
473,547,872,513,102,377,751,473,715,594,460,735,835,741,254,717,069,504,901,
314,896,236,510,533,993,388,271,612,567,152,700,944,009,020,566,635,424,202,
747,425,044,203,278,076,255,885,637,397,765,787,931,108,155,645,430,683,694,
038,059,233,502,272,083,353,365,396,116,027,587,731,700,519,009,174,892,281,
330,478,641,303,516,950,763,521,032,031,340,757,934,209,759,117,734,300,778,
478,068,618,498,911,589,512,274,579,786,146,170,435,795,696,922,037,449,356,
345,763,055,778,163,289,353,421,756,227,232,606,336,230,703,969,500,165,132,
235,906,249,163,058,066,022,316,604,499,814,703,479,105,718,831,276,787,662,
626,769,369,218,867,625,562,233,905,401,908,591,237,722,430,336,922,698,043,
949,203,648,668,902,952,410,607,392,363,063,262,971,363,768,745,167,398,347,
480,038,924,570,399,716,834,609,893,616,359,141,418,466,672,019,493,451,283,
973,532,913,669,643,884,079,480,011,760,746,119,230,273,219,838,632,992,249,
527,961,021,179,514,408,335,431,319,988,506,576,669,508,320,992,010,889,887,
121,285,683,538,242,020,719,828,791,097,740,648,716,350,987,656,968,593,141,
331,964,378,353,251,402,101,696,361,048,641,799,833,357,965,496,492,261,405,
746,369,259,278,682,819,491,407,398,602,103,839,290,919,676,174,818,422,892,
836,244,956,485,643,937,846,532,711,079,645,350,755,163,308,454,013,412,231,
612,965,361,709,003,505,781,025,928,467,621,650,788,976,200,322,206,162,684,
452,886,832,309,515,155,520,300,421,017,452,925,271,374,518,760,769,838,800,
348,947,328,877,569,940,598,770,454,319,420,478,557,998,566,045,107,715,322,
049,485,307,891,652,511,699,498,744,533,913,954,535,488,071,897,036,193,208,
918,882,091,551,234,088,573,445,807,972,963,463,647,350,299,957,570,611,500,
745,044,508,994,202,962,340,307,035,850,197,781,212,933,953,766,048,707,724,
475,121,855,010,767,741,152,637,372,400,012,981,343,031,711,770,028,652,774,
457,865,771,719,017,712,299,517,532,643,467,557,164,349,115,853,285,590,932,
485,023,125,193,463,903,094,561,535,852,258,012,569,215,446,870,990,784,331,
646,108,284,918,417,442,069,042,561,534,182,541,444,930,760,071,480,799,231,
712,536,061,795,412,028,832,981,611,673,278,520,260,969,802,685,910,033,065,
236,410,400,199,123,186,862,488,633,131,241,737,254,851,779,484,170,970,984,
038,004,779,641,617,765,312,930,255,006,900,372,944,421,814,723,005,743,880,
367,954,421,310,820,131,714,762,816,522,960,200,883,197,221,077,713,087,833,
534,145,603,452,354,410,929,165,544,159,754,422,727,375,691,234,373,487,550,
667,450,459,365,233,491,099,008,384,956,071,595,736,526,212,359,643,520,914,
577,363,030,115,181,309,960,646,052,802,226,803,973,499,330,764,531,243,425,
871,247,783,398,369,717,966,193,127,953,410,417,532,688,013,754,581,809,346,
119,180,922,969,985,669,878,385,184,456,980,056,422,644,066,209,554,394,308,
164,867,081,206,509,980,221,216,699,637,279,693,353,138,289,739,164,793,720,
213,283,781,063,438,581,522,706,017,658,520,611,572,084,232,860,465,230,543,
541,443,822,312,371,406,046,187,664,561,819,309,683,693,005,500,693,027,260,
237,343,309,935,555,078,928,092,767,373,261,363,881,696,058,156,367,275,928,
705,776,001,153,672,672,292,036,604,309,203,118,652,425,939,002,431,353,956,
150,003,229,324,731,408,426,932,656,105,708,991,645,552,799,151,363,849,328,
242,861,231,554,033,463,770,795,113,645,093,543,554,990,099,084,930,258,119,
944,518,349,830,604,134,085,777,096,759,729,994,562,341,172,217,923,228,530,
728,818,876,773,730,387,646,989,084,974,487,759,137,355,986,487,017,080,772,
653,906,347,334,211,416,271,021,744,415,021,023,733,083,843,314,509,994,325,
524,207,198,430,507,877,830,559,806,021,837,985,367,789,205,404,627,588,378,
616,647,769,012,465,571,941,384,705,125,876,288,116,361,272,230,031,412,467,
756,117,212,257,325,716,579,579,058,387,994,875,459,520,444,061,587,291,737,
318,525,678,640,216,654,074,211,563,820,284,483,376,424,377,462,798,947,963,
666,807,760,542,693,558,236,299,303,183,617,333,206,519,895,502,211,011,363,
064,971,960,764,481,014,852,104,199,978,457,749,427,747,092,478,374,648,303,
005,954,512,271,449,966,419,233,723,116,420,979,467,379,263,762,241,077,710,
282,637,933,464,438,857,076,596,549,591,846,218,993,441,782,540,568,175,658,
032,741,925,487,872,045,727,112,162,688,352,478,735,739,934,161,689,376,919,
268,204,447,563,978,285,419,618,906,405,307,534,229,588,907,797,746,565,964,
650,355,669,477,673,178,782,899,661,616,338,022,048,752,105,261,888,806,070,
814,016,290,122,248,968,180,612,887,305,862,123,141,771,540,076,601,281,398,
582,092,022,411,880,429,770,111,284,577,975,441,598,922,659,294,799,577,063,
407,070,902,470,614,040,720,819,092,118,204,135,245,622,256,447,046,300,458,
023,157,434,784,565,659,827,898,581,368,104,459,966,076,910,932,929,591,136,
122,660,891,023,129,572,344,727,964,478,291,086,297,976,909,774,081,714,023,
600,646,898,797,141,868,925,402,401,765,348,062,808,040,366,072,154,126,375,
488,840,786,619,497,436,783,128,260,929,702,996,906,951,886,433,223,071,258,
887,865,869,341,348,802,179,541,139,975,879,299,389,768,895,974,035,511,366,
848,995,182,512,623,509,695,836,793,191,403,729,325,726,905,760,405,904,750,
650,446,149,898,855,408,621,812,811,461,201,821,023,512,589,400,217,936,202,
889,541,504,254,254,033,920,545,371,583,078,826,402,629,796,758,928,934,333,
402,877,421,244,723,906,017,487,348,362,178,573,060,194,668,758,369,855,327,
860,429,029,188,222,382,063,970,920,147,199,452,427,397,098,439,524,602,495,
490,326,829,316,648,842,158,373,862,665,568,183,371,290,501,819,471,805,101,
931,836,340,478,009,743,359,739,391,902,883,058,347,274,070,048,657,082,625,
033,914,100,534,705,451,827,321,863,636,473,198,744,877,150,558,623,057,889,
088,546,838,616,624,771,292,324,384,040,509,160,057,827,320,992,760,604,967,
308,163,594,717,288,401,497,011,202,324,902,025,148,002,063,090,302,024,795,
046,103,291,583,585,282,602,148,849,785,441,323,474,448,791,445,445,179,180,
925,148,736,652,458,649,862,929,726,454,015,088,462,026,808,203,414,490,708,
355,519,546,407,467,291,873,516,789,389,960,803,170,991,310,705,139,214,356,
736,879,944,666,359,994,351,602,422,639,988,674,951,784,739,296,035,825,930,
379,396,216,391,556,038,446,115,280,162,560,868,820,014,699,554,940,242,284,
237,385,197,934,313,543,594,044,707,067,950,809,900,109,881,111,453,027,740,
918,832,337,684,411,874,035,927,044,080,818,671,676,109,393,333,024,456,071,
394,936,522,511,335,923,749,065,666,185,452,333,166,503,462,310,650,034,025,
138,183,186,699,868,385,341,030,261,194,950,462,247,573,922,200,903,577,470,
052,647,561,346,973,091,738,574,129,578,104,233,213,327,167,694,412,062,851,
061,325,825,227,551,180,189,297,085,196,903,414,351,665,314,526,767,124,078,
780,987,820,933,118,549,754,147,069,080,598,962,547,720,085,416,264,183,727,
316,017,445,525,720,323,497,922,572,440,716,823,201,062,825,520,686,577,195,
374,326,390,916,097,132,656,219,674,256,719,534,728,257,529,924,308,305,827,
780,704,760,741,140,557,161,514,479,734,390,998,753,970,539,579,400,663,421,
467,226,720,229,235,388,096,208,551,440,209,160,638,656,617,154,237,302,298,
682,409,480,098,641,612,069,146,640,826,772,198,390,083,752,940,211,797,041,
775,052,458,062,970,504,205,818,622,947,059,978,447,706,499,992,233,992,974,
277,409,992,319,466,706,047,187,185,428,683,066,198,652,277,172,097,792,520,
056,586,064,804,391,828,197,056,248,965,404,943,572,340,127,600,593,538,300,
841,639,814,295,789,140,880,001,599,900,528,573,366,694,049,899,114,577,175,
553,621,188,480,372,151,818,820,502,358,720,534,916,984,032,728,809,790,479,
032,549,345,741,614,276,101,929,187,199,405,018,966,406,314,153,424,796,918,
646,003,066,675,091,611,805,953,521,302,230,161,761,388,267,000,420,876,363,
870,700,738,632,942,702,121,105,490,940,391,646,792,066,802,609,744,709,224,
797,155,773,518,225,997,967,222,622,943,219,962,394,359,057,059,780,634,822,
043,178,262,593,723,727,659,850,539,464,916,754,486,659,996,122,885,535,442,
605,302,922,122,651,099,488,481,083,524,723,940,579,939,921,893,924,903,301,
285,818,953,618,549,540,073,150,697,073,273,413,997,270,684,428,050,134,741,
963,353,469,981,515,205,636,199,171,278,137,562,660,566,554,415,964,529,434,
284,139,436,729,941,218,764,668,080,816,510,445,018,804,964,081,075,339,760,
219,293,010,018,528,737,281,890,143,984,014,738,913,645,956,979,863,662,110,
327,538,230,741,870,807,303,226,800,178,644,270,965,072,334,647,120,677,086,
464,528,350,691,476,843,963,336,647,134,946,159,668,106,788,624,762,406,001,
611,505,538,670,520,074,621,595,417,324,312,971,943,025,401,018,575,557,247,
337,142,517,973,434,588,840,177,387,673,982,738,491,419,182,193,950,067,964,
228,786,283,517,738,513,851,319,624,639,508,816,681,607,218,578,289,033,254,
280,615,872,771,288,778,062,740,738,706,170,493,987,450,866,926,232,136,347,
201,007,055,523,910,088,468,343,392,062,861,592,399,393,294,368,086,677,435,
606,099,313,801,554,976,465,336,921,328,400,080,343,621,676,127,665,663,616,
340,400,213,390,990,269,009,626,741,515,974,244,880,484,877,500,804,476,004,
155,080,833,189,601,740,559,329,721,500,060,030,520,957,543,866,284,327,627,
204,879,907,969,994,952,545,090,585,020,656,672,972,994,682,344,142,750,496,
299,164,881,467,567,265,003,286,505,177,020,049,203,369,795,793,869,534,178,
123,597,518,598,740,180,448,447,791,372,777,517,346,887,712,935,729,165,649,
050,897,715,424,490,715,707,770,237,838,342,290,720,271,947,952,720,529,409,
316,892,868,617,088,998,944,629,569,643,035,033,858,285,552,554,495,915,134,
456,248,600,118,235,830,970,510,058,512,211,871,008,254,395,592,534,355,911,
749,208,903,741,764,583,683,331,495,484,896,554,736,158,275,020,396,375,775,
152,157,290,822,326,826,094,808,145,684,143,119,070,585,578,174,716,137,845,
918,595,776,744,033,339,898,479,898,651,460,838,605,965,194,027,670,916,886,
255,456,369,400,757,133,912,015,502,903,320,883,697,554,341,662,654,478,748,
254,878,960,512,837,533,225,521,039,521,585,476,474,035,984,620,029,802,635,
252,620,285,112,772,222,512,809,777,999,254,506,931,091,761,651,921,263,106,
802,963,557,486,567,276,810,759,330,974,331,618,381,653,610,187,830,461,828,
392,528,614,685,067,469,714,819,891,062,269,533,470,984,681,828,548,596,997,
977,491,368,242,533,095,582,601,862,444,627,485,843,901,923,082,248,418,375,
773,143,263,276,950,134,311,261,462,383,928,930,391,283,107,767,223,643,595,
715,562,462,139,597,893,612,723,649,259,775,903,935,402,887,209,666,302,870,
940,040,849,872,088,921,711,825,172,372,600,701,764,588,864,027,167,633,285,
162,288,355,194,372,576,989,819,114,198,708,087,721,095,612,015,229,925,242,
236,842,150,201,025,390,076,816,737,378,303,918,699,305,884,541,272,604,959,
639,614,375,237,729,051,510,687,408,395,005,047,911,224,863,109,755,061,558,
169,427,075,599,732,395,444,284,371,344,242,159,249,450,959,390,644,250,812,
571,992,597,379,579,613,835,326,452,503,257,027,402,971,113,312,945,145,262,
973,806,587,844,052,575,632,526,796,215,733,339,101,082,607,930,544,422,164,
420,225,784,969,686,003,763,960,482,326,602,283,703,444,235,744,076,681,113,
021,929,510,987,428,793,340,061,852,477,630,629,248,974,125,770,379,838,719,
211,869,744,133,236,915,235,211,661,211,290,742,192,298,370,657,494,133,981,
142,819,003,951,792,605,935,588,584,612,229,789,691,983,413,215,696,231,638,
368,051,945,513,063,251,725,178,651,299,249,322,516,756,375,842,602,048,261,
068,289,573,646,697,158,115,996,283,974,828,467,408,995,393,869,319,712,604,
465,395,854,511,253,134,422,626,848,539,554,344,809,934,928,617,726,895,075,
375,507,679,545,267,001,001,641,716,232,515,789,989,215,782,774,169,080,737,
219,780,292,474,870,130,865,748,683,670,239,590,595,587,861,222,020,231,997,
164,380,163,009,428,639,579,311,906,103,590,305,767,566,057,615,500,064,618,
979,191,736,610,959,685,258,442,628,353,369,995,468,679,523,146,150,748,144,
784,507,655,463,599,563,474,984,670,801,315,652,920,654,971,774,586,128,577,
607,772,558,540,455,648,353,656,488,331,541,095,011,264,368,571,956,282,997,
218,984,051,405,500,542,965,827,254,474,170,420,031,513,369,535,803,521,462,
230,218,985,958,991,780,930,568,869,071,814,840,863,322,095,230,643,586,619,
430,912,226,962,979,693,977,620,071,905,991,688,499,330,980,864,255,474,194,
994,616,882,371,442,664,514,663,232,028,866,232,949,686,775,914,593,940,107,
822,217,962,735,164,000,033,272,353,688,142,301,188,911,467,954,458,112,817,
994,975,414,987,994,980,008,290,136,059,136,176,549,660,631,287,747,750,172,
518,450,574,397,220,515,007,992,570,797,536,006,327,109,357,884,289,432,682,
052,491,818,135,641,746,961,411,701,129,296,245,058,027,026,098,086,784,511,
039,680,308,626,312,820,360,919,562,417,192,352,691,938,824,344,179,187,389,
799,806,456,432,511,611,626,037,455,977,486,481,428,345,516,183,017,988,152,
514,417,566,757,734,184,969,550,233,392,854,321,082,993,855,516,598,048,617,
946,934,029,997,258,138,719,033,133,843,645,033,254,505,809,797,110,768,318,
630,696,441,506,409,089,922,294,847,354,735,733,215,700,683,645,785,860,845,
988,598,238,768,202,468,720,740,833,622,997,648,441,557,826,336,376,093,737,
097,338,798,607,947,758,437,244,847,188,670,101,234,544,525,198,137,417,971,
217,141,239,624,362,572,286,024,406,929,079,363,985,302,907,356,648,793,519,
958,911,008,223,707,725,040,760,157,591,863,603,109,490,869,652,760,681,658,
925,327,748,961,624,042,575,312,311,128,590,614,215,948,900,076,948,384,647,
327,476,281,819,385,563,450,376,910,641,984,857,344,063,125,169,752,508,960,
650,523,676,144,365,989,403,569,533,717,117,130,804,685,239,119,905,901,616,
423,361,581,966,383,249,753,715,769,583,863,066,996,509,911,173,252,387,234,
637,102,259,017,432,349,039,829,056,772,984,850,940,902,892,030,394,609,199,
915,753,424,812,847,546,939,150,315,854,021,159,360,880,347,805,043,478,727,
186,330,173,357,402,951,084,673,867,355,442,426,703,292,800,989,454,467,925,
790,960,670,126,756,241,215,030,777,267,159,662,952,737,962,181,540,716,935,
350,550,304,007,981,121,738,385,225,387,995,158,644,606,771,639,746,585,008,
399,269,489,077,098,517,807,874,311,961,979,596,852,728,561,713,447,393,335,
633,994,468,989,951,577,448,699,224,247,933,281,501,113,217,639,308,588,531,
950,203,580,016,369,267,959,204,337,544,761,258,691,495,085,292,909,556,686,
166,230,035,821,979,428,071,959,586,983,110,454,068,949,864,257,048,428,124,
106,116,556,970,431,108,241,847,615,451,411,877,378,382,935,654,364,585,837,
675,271,353,542,537,094,761,832,898,718,534,763,153,750,495,701,939,806,821,
241,355,114,218,299,458,610,247,256,179,646,967,324,980,018,526,858,601,841,
845,675,710,225,132,338,256,086,772,599,055,093,507,745,159,955,702,935,701,
182,143,033,827,341,201,816,706,329,363,014,380,671,384,092,932,018,284,016,
060,084,156,016,462,383,114,278,926,496,364,737,759,784,875,254,494,666,158,
815,962,314,847,956,592,094,996,788,122,693,489,496,999,524,783,156,292,217,
437,034,363,230,529,172,108,413,650,834,590,441,782,072,984,298,111,876,761,
667,766,692,237,083,522,920,615,726,921,665,572,052,131,474,743,283,621,338,
645,957,595,213,940,455,728,538,489,292,126,088,509,496,010,614,326,961,800,
766,325,204,957,313,345,415,578,251,953,281,743,569,954,011,516,578,817,333,
139,084,526,596,925,437,416,154,323,625,051,626,515,826,881,901,565,150,529,
329,745,292,452,341,358,819,421,406,311,965,407,691,730,130,253,566,581,947,
390,919,540,907,636,960,876,780,695,050,804,957,722,887,238,990,873,424,605,
778,134,618,397,311,746,663,359,104,044,699,559,129,947,930,658,399,695,897,
071,457,860,170,384,671,337,545,304,667,095,350,694,121,036,712,828,147,046,
220,064,862,547,550,072,029,293,861,384,604,869,921,023,428,131,584,115,626,
900,325,964,133,028,748,609,393,318,207,348,033,985,555,401,569,884,452,804,
394,090,429,364,336,882,868,105,946,402,800,305,956,565,133,896,094,292,662,
141,420,599,689,543,645,989,991,225,814,238,902,706,985,123,411,063,769,960,
386,027,284,349,280,952,850,336,421,088,054,312,687,620,554,525,695,149,262,
047,927,727,513,299,481,084,566,971,908,555,103,786,740,131,960,445,495,018,
275,748,897,649,162,734,708,981,635,505,218,563,632,105,594,922,882,864,566,
535,040,078,365,128,682,871,695,763,516,869,931,053,114,976,345,638,541,566,
363,710,582,709,662,485,801,989,479,105,128,446,631,866,607,118,287,752,923,
923,878,243,644,418,964,874,566,703,578,155,166,781,124,803,372,528,452,042,
840,057,167,240,620,622,907,917,984,927,943,581,249,503,793,604,740,907,675,
732,632,404,354,818,054,420,087,319,376,651,845,219,148,249,237,717,397,900,
730,016,961,962,532,320,961,728,326,175,681,041,907,108,503,521,239,027,468,
596,176,338,702,657,722,794,254,791,714,161,119,837,860,249,474,620,346,898,
310,890,251,295,371,525,556,888,045,930,606,142,390,714,469,430,221,143,409,
232,786,232,779,878,973,060,364,958,833,168,164,535,721,804,081,451,915,417,
224,196,325,960,063,506,004,177,690,128,199,095,563,451,302,833,649,366,770,
457,352,131,839,267,472,227,222,757,216,036,868,015,309,660,509,988,722,952,
344,854,409,456,529,305,497,458,656,882,750,836,495,741,550,805,241,253,955,
056,244,902,203,688,053,979,602,277,921,237,592,503,210,984,962,490,081,870,
285,260,581,540,973,232,488,770,411,849,130,329,730,712,128,271,201,732,251,
884,508,589,909,330,390,276,845,751,808,017,056,934,446,331,856,046,116,290,
018,322,972,134,050,389,276,857,793,373,427,028,273,140,133,106,087,665,122,
285,683,066,341,207,673,668,336,855,565,765,921,212,696,344,676,455,794,574,
815,781,260,853,343,697,567,882,008,471,810,202,405,276,954,674,607,991,065,
650,213,752,879,046,898,412,379,998,734,890,841,471,850,381,246,408,723,199,
362,874,494,098,920,632,659,917,954,960,517,387,473,953,327,095,792,735,292,
993,099,926,518,478,725,383,368,673,042,369,872,443,654,558,006,284,020,788,
844,397,492,769,325,826,375,045,235,579,178,103,541,049,964,757,827,014,596,
310,400,560,708,334,737,389,481,443,118,559,601,001,945,694,515,168,601,769,
278,491,354,506,150,792,065,323,839,929,085,829,003,830,614,073,783,352,618,
316,812,815,784,855,605,310,997,767,953,174,973,665,807,271,450,680,255,523,
286,274,080,850,516,127,581,520,530,344,005,500,154,105,793,239,230,302,332,
858,251,194,189,414,660,878,523,926,307,871,573,561,989,412,003,470,407,868,
641,045,690,700,157,049,631,623,541,110,876,804,130,383,079,702,257,576,747,
276,799,539,512,020,138,797,504,944,268,001,027,265,826,835,799,005,386,312,
045,775,466,838,665,711,009,917,844,018,973,134,662,834,971,458,281,812,080,
716,175,839,483,157,392,917,740,349,404,917,334,648,695,037,080,646,243,601,
121,938,571,181,918,964,624,186,484,558,303,318,373,163,665,579,470,580,537,
259,817,031,695,860,600,464,152,716,989,692,714,620,457,095,343,704,955,400,
390,911,646,868,092,612,028,050,670,057,321,187,335,965,157,864,591,756,977,
702,420,647,620,903,362,836,001,769,174,050,047,421,093,235,266,087,200,819,
242,869,763,205,897,983,724,359,121,779,897,729,349,947,428,476,809,682,892,
007,774,436,145,246,674,917,203,762,969,529,942,708,478,996,290,086,861,238,
547,163,212,271,922,613,545,582,540,707,786,692,063,209,681,090,377,423,518,
340,220,294,972,325,424,071,922,709,079,083,391,876,676,189,788,875,813,855,
104,517,182,593,606,490,330,529,007,002,434,606,134,433,732,211,216,455,980,
126,936,173,507,205,807,675,825,338,912,216,386,431,635,070,148,126,596,379,
688,578,100,232,541,313,579,614,667,918,261,784,393,832,793,592,156,016,764,
698,464,515,672,587,414,173,984,992,448,044,786,319,419,816,519,059,846,792,
756,650,259,131,467,963,649,704,144,478,960,259,275,352,499,791,941,463,275,
054,204,857,762,796,288,655,095,608,397,299,582,401,848,898,096,653,364,310,
691,036,426,682,007,032,417,742,982,393,242,712,669,455,723,979,762,532,677,
734,880,498,197,639,353,439,706,610,318,040,603,745,756,231,727,064,607,284,
129,084,404,541,295,799,667,390,702,556,911,171,689,224,806,857,190,280,453,
411,990,687,597,581,831,568,651,314,653,269,964,014,869,166,982,482,362,068,
643,090,394,448,104,824,835,280,392,325,396,863,097,153,000,403,470,263,038,
608,890,602,833,048,705,375,378,815,912,427,672,918,775,194,155,425,352,526,
225,767,837,701,929,527,989,754,386,269,584,259,708,218,169,800,753,305,111,
313,766,501,644,068,094,705,789,994,923,323,962,284,350,786,379,983,760,266,
849,674,836,318,010,991,626,169,477,545,516,386,767,562,301,388,758,052,456,
584,059,019,918,141,722,858,575,360,307,704,881,510,805,076,275,133,544,032,
778,260,530,790,853,009,329,597,755,505,044,381,146,121,228,447,189,908,005,
062,071,107,392,815,097,744,759,245,184,862,803,274,507,330,753,102,259,205,
151,847,649,405,286,938,906,247,690,814,874,842,183,359,052,515,907,114,761,
043,120,101,788,243,116,332,164,985,483,179,649,652,306,577,134,296,485,684,
813,125,041,815,580,271,195,873,522,509,087,484,698,874,423,112,309,427,478,
871,196,125,350,697,965,661,184,607,881,293,727,456,306,159,033,476,739,871,
462,626,504,652,471,762,914,199,754,499,349,845,108,524,981,942,178,093,534,
847,478,470,169,571,529,695,752,593,857,954,075,431,720,813,349,211,828,300,
038,202,619,691,999,795,914,718,661,645,761,389,899,007,516,462,319,054,505,
361,174,349,761,688,586,078,235,045,078,747,743,600,998,678,583,943,604,317,
625,955,447,546,464,650,305,218,128,403,662,179,026,085,880,404,668,075,498,
734,157,626,370,665,616,083,330,397,956,928,782,836,613,915,215,448,122,952,
005,257,165,494,761,237,621,894,229,772,502,251,522,710,589,600,980,728,262,
606,863,881,675,584,581,151,148,736,936,979,885,520,370,271,194,653,348,762,
080,624,651,320,599,461,882,933,429,343,499,986,712,201,753,089,889,390,076,
656,417,286,809,847,435,676,246,979,178,171,126,137,223,049,216,190,854,895,
603,645,786,088,820,303,895,829,997,350,543,827,475,432,557,171,927,368,150,
555,354,539,199,778,299,036,851,908,291,070,042,309,618,515,840,952,147,619,
640,477,549,812,351,139,700,612,606,139,534,284,813,207,406,745,148,235,699,
581,216,044,363,063,848,401,817,634,116,145,815,950,037,987,482,685,631,447,
733,880,511,198,593,489,179,589,154,835,083,311,258,838,476,783,803,194,606,
618,983,011,420,616,783,995,320,077,772,571,203,102,841,760,079,167,642,588,
742,066,734,004,654,493,557,199,611,046,872,340,044,842,310,342,327,340,798,
345,165,563,266,295,643,157,385,333,454,602,800,578,940,040,096,440,747,539,
484,407,603,401,400,321,276,333,233,603,306,109,968,631,630,980,264,665,530,
606,076,679,922,442,718,139,933,438,480,895,301,708,559,983,134,779,589,863,
928,731,600,446,657,019,778,101,013,952,709,408,463,200,150,698,543,892,818,
416,848,464,252,283,455,594,002,180,013,315,898,191,362,042,331,072,385,186,
897,818,379,392,918,586,507,522,218,357,524,202,100,501,037,042,855,855,436,
401,322,329,020,498,984,169,283,252,926,695,541,562,974,844,887,404,381,263,
007,261,184,028,045,321,710,953,046,318,529,530,326,393,197,047,703,065,341,
988,287,255,577,941,107,940,879,542,665,391,402,269,748,356,150,416,253,564,
257,348,516,026,913,144,695,040,556,034,107,399,844,975,967,512,464,885,085,
915,279,272,602,067,436,262,041,328,307,978,901,865,070,659,228,889,885,484,
742,306,412,233,332,311,374,035,434,768,613,355,487,461,087,027,209,961,634,
576,353,755,284,216,770,657,843,110,009,852,696,300,555,427,911,576,519,858,
901,902,195,748,700,119,360,130,119,689,705,868,866,112,322,705,599,239,155,
789,853,912,412,053,052,557,546,192,755,401,327,688,554,503,255,488,959,580,
459,026,962,002,315,506,761,842,891,449,516,971,536,319,952,101,438,992,485,
310,755,747,336,569,733,444,874,032,534,838,592,548,678,272,535,392,345,487,
180,070,561,273,975,113,038,047,648,408,712,076,825,412,219,044,537,701,566,
867,335,679,810,086,319,365,482,480,100,551,967,808,263,771,270,007,594,832,
984,020,683,421,590,626,040,930,416,874,773,888,759,187,179,293,142,559,291,
632,532,727,591,402,802,145,497,703,022,965,619,915,525,167,960,139,713,723,
798,844,657,448,404,927,837,884,614,000,837,129,122,780,836,942,270,758,112,
698,416,622,051,193,055,677,736,900,234,214,328,091,416,398,032,068,976,902,
974,192,755,666,747,497,578,434,002,141,548,635,760,042,475,336,534,937,795,
470,195,751,126,148,862,861,616,063,298,328,175,182,758,227,132,319,317,264,
435,386,932,081,963,734,143,376,434,444,632,180,360,823,051,628,074,380,401,
121,950,153,517,793,640,724,445,242,350,441,512,988,237,752,644,457,080,825,
917,463,680,415,118,277,423,199,709,061,930,555,490,635,776,347,409,977,797,
556,277,701,194,423,060,307,498,090,075,863,523,937,996,458,552,001,036,607,
037,341,486,983,698,363,266,428,679,608,033,187,302,468,634,756,035,378,297,
401,316,706,711,102,809,143,411,367,661,154,920,992,345,749,024,725,579,796,
615,020,166,959,482,152,565,567,069,702,026,157,617,566,215,220,237,517,032,
250,496,052,329,005,441,830,922,060,123,250,704,533,407,596,062,265,480,621,
147,142,442,045,301,453,317,564,834,358,221,949,772,037,952,149,388,640,679,
571,253,319,902,286,226,659,581,786,705,142,575,508,297,146,228,168,897,784,
781,016,006,802,016,798,996,500,430,701,543,384,208,785,365,462,483,974,636,
054,325,254,213,710,279,017,960,287,902,820,057,819,590,288,854,694,145,946,
210,879,482,666,978,308,508,860,471,674,064,556,832,657,772,861,836,822,046,
668,091,432,384,630,798,972,435,180,813,143,306,413,819,490,323,426,656,876,
076,603,383,293,793,446,255,818,178,203,275,288,289,833,356,344,741,953,416,
844,569,394,625,444,370,785,299,669,579,205,471,100,008,133,065,997,626,440,
328,034,668,207,405,507,219,292,070,974,755,518,365,153,848,549,771,165,616,
822,894,867,025,597,448,612,939,678,719,420,187,199,401,226,834,154,628,017,
736,064,528,438,746,988,115,092,543,978,304,076,231,149,696,572,995,051,955,
534,513,480,023,741,536,241,504,132,797,681,541,674,741,115,188,804,557,993,
855,950,189,578,988,848,336,215,316,243,492,309,858,580,647,022,128,962,409,
868,795,781,449,788,085,823,220,166,674,736,063,164,140,259,677,556,363,854,
145,765,759,327,986,579,990,162,459,602,776,954,915,030,501,884,338,806,071,
251,563,952,765,595,907,805,375,558,652,705,912,214,755,692,806,819,775,708,
145,441,807,815,857,085,271,019,506,998,887,378,996,897,083,378,822,793,965,
549,206,512,472,130,283,691,828,289,574,730,873,376,330,725,170,973,346,596,
545,511,150,428,576,970,571,715,712,137,563,788,485,132,208,849,617,632,048,
472,499,370,484,785,740,643,134,321,515,727,474,779,096,726,939,792,057,068,
301,159,727,940,606,453,267,131,232,976,062,715,342,920,594,459,009,770,170,
667,678,260,765,720,738,705,599,322,780,131,239,192,801,020,159,543,638,243,
875,898,519,811,381,168,079,158,586,594,509,202,767,775,318,644,395,046,614,
105,426,246,440,129,745,909,213,209,389,724,715,896,852,827,461,905,470,938,
422,668,194,061,127,476,574,149,874,355,610,464,616,553,027,088,114,881,486,
265,053,819,158,274,428,971,602,177,940,694,865,405,290,164,008,081,730,071,
059,618,412,602,230,990,296,722,802,011,318,867,432,754,822,492,824,868,735,
946,268,520,787,582,591,317,903,859,144,183,867,602,912,914,435,951,763,501,
115,222,634,647,228,362,992,336,974,959,066,984,657,090,828,843,241,122,204,
111,758,267,137,453,096,543,694,750,959,455,857,667,952,476,466,490,428,424,
331,558,122,711,812,187,194,305,420,792,977,717,851,619,573,100,271,583,624,
666,116,204,803,756,094,954,430,072,070,372,201,715,936,759,925,568,290,059,
932,237,936,917,592,137,832,063,029,095,746,513,168,798,289,066,894,767,780,
472,801,518,395,827,241,311,719,415,095,480,048,419,472,432,357,419,697,972,
123,354,928,973,084,528,536,908,585,532,383,713,862,062,659,522,615,505,588,
740,079,976,937,468,841,474,435,690,830,484,263,023,355,685,671,622,585,972,
585,681,887,552,714,928,781,334,611,696,410,578,478,047,226,151,025,983,451,
966,958,151,848,187,195,272,380,288,978,452,813,844,491,535,727,148,539,908,
180,559,414,945,952,052,193,022,891,461,633,819,770,853,934,106,839,756,665,
980,028,813,764,034,468,832,615,332,728,414,195,738,918,872,540,418,264,483,
634,748,547,715,841,092,157,416,646,545,935,549,366,157,231,192,165,274,672,
401,114,347,753,608,160,381,372,027,244,916,979,014,291,546,753,825,367,143,
784,449,841,382,948,413,563,378,955,286,946,015,396,789,868,005,986,055,394,
871,373,606,263,542,166,241,768,499,899,134,051,183,579,221,312,140,073,719,
561,384,514,533,022,798,233,424,526,925,025,972,313,039,582,166,883,087,164,
329,654,901,395,622,388,949,614,395,766,407,451,325,877,242,634,182,989,095,
553,528,535,156,142,282,196,731,057,038,214,188,815,991,913,142,134,116,778,
391,433,919,966,155,808,226,649,820,597,740,013,592,314,918,252,367,357,439,
842,050,399,622,698,006,903,241,683,641,979,483,965,283,402,989,554,340,887,
942,684,351,547,434,549,162,005,596,739,387,273,707,495,312,928,524,413,191,
885,984,009,117,387,234,014,591,124,743,712,974,867,226,096,496,224,405,670,
630,505,725,274,358,714,460,473,589,600,583,801,483,000,184,190,567,640,118,
501,268,678,832,973,513,161,556,165,182,391,229,749,340,050,507,365,447,499,
022,984,328,195,421,186,012,707,444,122,222,553,718,513,771,491,014,946,273,
456,527,267,020,140,026,127,774,784,981,439,872,719,245,890,911,157,711,363,
613,827,317,751,680,689,471,328,714,877,910,675,222,018,171,049,641,552,839,
902,071,699,838,071,121,362,346,294,284,015,081,737,780,018,712,501,905,394,
312,176,304,325,079,797,765,357,843,916,373,872,976,350,316,660,623,948,506,
952,674,498,785,415,051,178,720,307,248,222,811,031,788,732,804,269,465,760,
849,984,827,737,287,389,047,385,755,822,814,369,272,463,592,648,100,929,385,
016,539,924,078,865,059,503,322,167,753,874,739,938,390,651,349,802,609,991,
915,678,170,153,618,253,597,558,181,072,982,911,935,140,116,601,463,073,522,
829,809,713,112,786,857,189,375,186,318,780,109,727,556,430,962,490,378,881,
982,034,356,300,216,652,217,061,769,879,816,713,034,240,195,703,473,564,227,
049,770,271,721,087,614,540,345,813,157,248,649,929,073,179,978,831,755,784,
992,366,835,207,295,955,429,685,292,363,887,834,591,201,127,960,577,870,599,
828,641,978,196,026,359,229,051,060,168,149,586,758,300,650,207,653,949,471,
109,186,290,806,047,809,636,056,129,723,784,407,753,871,437,825,411,073,062,
068,624,285,343,972,555,365,346,109,804,336,673,834,843,807,742,719,485,286,
810,163,146,230,206,568,117,898,304,766,066,336,525,441,549,739,398,364,311,
924,620,472,947,626,369,778,538,831,967,399,761,696,333,941,715,421,928,056,
948,706,374,291,519,660,549,707,200,650,040,588,798,637,147,878,379,915,031,
743,438,954,459,077,826,795,761,274,860,012,965,331,829,163,993,109,547,893,
672,778,743,805,480,970,465,504,305,058,904,955,694,406,811,676,534,921,900,
445,939,056,701,529,087,459,598,227,634,732,515,527,472,560,086,770,813,429,
326,839,006,567,980,981,507,781,889,648,415,207,056,526,409,956,030,480,131,
471,512,426,304,026,935,874,181,649,263,237,932,668,900,775,440,216,029,647,
133,939,479,324,972,924,300,284,187,511,690,388,341,496,068,243,844,632,822,
452,021,074,705,112,350,176,704,455,226,257,164,946,076,689,458,855,696,501,
693,224,634,773,641,451,309,339,666,975,241,771,473,875,793,455,609,990,362,
380,309,629,941,870,286,183,542,996,159,928,047,261,494,312,008,979,355,187,
897,975,136,053,084,377,616,702,165,404,291,439,125,254,696,119,101,281,394,
915,276,020,147,082,336,690,197,575,504,147,225,496,649,204,243,122,167,431,
782,864,319,875,869,254,121,341,529,163,225,633,104,292,641,079,141,511,098,
528,694,703,689,805,040,639,293,247,700,843,586,641,345,015,226,730,705,864,
775,845,215,596,142,886,799,509,323,331,357,710,809,654,866,664,354,764,308,
170,199,912,609,636,536,053,795,740,803,210,907,961,950,633,655,485,194,029,
599,283,446,370,951,551,363,425,556,810,504,170,618,606,782,641,106,846,479,
053,105,824,062,356,910,364,537,969,562,705,882,255,598,303,574,449,435,176,
263,103,443,629,219,475,653,451,776,300,932,612,967,149,298,409,200,699,415,
336,742,507,358,624,915,940,443,294,497,627,563,819,773,417,015,293,725,911,
470,344,521,407,660,344,189,227,984,951,944,947,974,456,684,668,153,200,898,
469,998,133,940,491,770,984,147,847,703,745,108,323,316,032,426,380,277,960,
075,898,834,190,594,804,348,109,709,680,831,211,896,226,163,838,581,639,980,
178,528,609,014,490,875,883,974,576,275,607,627,141,452,003,395,829,460,184,
755,970,875,154,776,596,153,334,328,432,387,403,949,953,417,562,760,214,803,
339,654,353,373,499,150,623,835,172,809,385,117,508,552,561,329,938,908,319,
183,426,383,493,804,898,845,318,304,015,934,348,711,528,702,097,928,313,359,
295,620,557,133,509,758,462,462,136,056,258,480,517,829,021,092,644,862,993,
532,665,578,224,532,995,972,156,433,474,946,671,926,632,901,147,480,601,830,
095,943,707,246,644,026,753,615,054,939,236,867,712,003,785,741,002,253,517,
010,171,547,563,797,045,382,837,695,883,150,117,813,352,444,816,882,514,853,
977,971,874,603,562,976,910,289,572,492,490,872,940,717,702,950,802,186,881,
708,846,106,252,064,805,894,557,794,982,944,701,959,458,994,186,719,094,722,
717,947,275,811,139,423,786,375,732,849,465,235,632,690,668,353,805,979,681,
954,551,757,761,542,220,035,392,168,284,888,517,255,430,860,660,076,582,873,
259,061,097,136,617,689,560,520,450,568,568,676,611,507,194,274,271,777,696,
087,844,714,650,663,439,366,493,641,210,027,022,952,237,639,586,072,704,522,
515,638,584,361,916,545,668,583,551,288,564,633,331,373,376,892,925,123,734,
838,605,021,157,114,271,996,905,650,687,850,856,635,913,919,729,555,596,614,
013,437,244,653,623,905,201,089,870,127,599,197,349,724,327,927,454,825,948,
922,237,365,031,440,325,718,826,612,543,728,194,959,594,026,796,616,242,966,
561,020,461,757,143,844,108,274,704,100,473,251,020,548,693,347,847,306,332,
067,666,326,036,515,504,569,315,184,596,901,550,357,810,051,545,791,812,998,
957,634,450,102,341,561,128,415,232,027,966,673,017,991,589,669,796,520,733,
796,147,640,335,672,919,485,622,291,788,579,119,619,494,406,506,645,424,232,
627,176,093,711,112,987,337,006,233,197,335,632,624,931,406,260,607,681,396,
819,880,431,428,839,696,469,563,089,972,413,689,466,236,757,673,727,928,744,
638,785,009,908,223,264,735,926,613,830,592,684,627,161,473,782,176,724,096,
439,047,333,375,662,541,895,801,749,321,204,049,540,937,538,239,212,914,659,
769,011,919,229,319,407,415,689,287,397,288,783,898,911,823,987,161,565,480,
095,179,152,370,007,953,307,102,211,559,568,916,299,885,929,451,137,090,747,
546,903,114,969,653,455,600,299,680,200,583,736,096,547,370,138,009,320,718,
096,789,073,647,186,821,904,709,055,138,114,477,873,708,820,759,447,426,155,
447,895,567,666,957,973,868,898,917,877,067,032,647,695,439,943,712,326,095,
663,102,731,854,230,635,419,474,521,006,013,576,535,250,604,496,875,846,842,
769,456,062,234,431,097,011,356,819,603,201,304,298,309,868,702,601,638,086,
192,824,006,313,587,363,223,761,413,572,556,846,555,264,633,530,447,976,345,
406,624,350,971,393,290,886,615,019,912,581,051,913,411,378,222,111,981,777,
477,920,931,433,511,326,172,446,630,016,977,512,678,627,920,323,331,740,531,
026,941,343,689,582,901,925,587,258,176,914,098,875,422,894,470,493,088,286,
163,929,424,257,065,075,107,344,589,585,866,950,307,105,859,167,397,448,060,
297,543,117,102,464,595,007,381,043,277,991,675,520,501,655,878,331,838,938,
901,017,265,961,258,430,781,349,280,851,767,720,660,014,595,767,239,527,059,
543,318,188,016,996,166,683,566,268,518,864,529,602,185,813,696,101,466,847,
577,267,223,273,159,968,881,625,432,153,709,622,553,152,205,165,778,608,289,
590,156,861,133,210,028,964,587,600,926,496,116,699,594,223,088,683,069,472,
800,019,258,789,098,244,506,204,374,145,392,800,229,808,228,002,128,879,542,
699,905,514,656,109,659,198,598,349,473,093,550,784,361,499,107,278,547,727,
910,934,137,755,138,778,846,595,121,894,958,302,710,731,323,678,957,802,803,
571,782,632,132,307,240,873,728,368,660,100,828,305,633,894,509,585,363,635,
686,155,524,402,545,746,535,761,628,650,097,946,328,238,556,924,685,413,358,
691,823,512,628,920,490,402,542,746,031,704,392,870,061,542,126,402,026,098,
566,597,651,342,201,215,124,598,388,087,133,317,984,510,893,946,618,734,923,
297,265,746,352,485,529,985,636,994,443,779,194,412,910,468,610,555,625,242,
132,141,414,391,278,720,530,016,895,643,786,518,202,215,125,815,926,170,209,
994,749,012,044,538,980,874,869,256,021,609,922,066,488,863,160,130,468,661,
585,052,461,944,202,480,781,403,426,076,427,380,767,242,577,515,471,599,749,
178,817,865,386,798,173,783,394,564,673,144,582,136,721,564,133,403,847,648,
486,856,144,364,933,460,581,957,495,032,895,319,414,427,430,614,287,954,768,
569,018,457,301,841,058,366,801,160,960,735,841,452,485,898,636,467,984,141,
072,764,248,091,607,773,567,451,339,027,726,146,552,467,699,191,193,589,791,
705,977,036,808,746,003,846,946,639,748,291,225,627,952,551,482,297,354,520,
214,564,908,337,924,112,567,283,892,248,952,834,342,623,792,170,322,198,233,
513,136,736,250,937,411,562,784,633,340,558,528,113,164,201,710,087,696,553,
444,178,482,797,039,839,166,758,918,726,375,228,595,900,370,014,778,957,206,
403,044,059,470,864,646,405,071,367,184,480,957,799,265,804,872,627,849,106,
059,227,294,305,357,313,984,601,216,672,579,124,591,368,173,573,686,619,029,
471,013,788,902,496,909,074,196,909,815,786,651,659,197,952,079,650,085,626,
298,151,069,398,174,670,561,180,406,394,968,123,936,059,969,467,441,476,566,
458,243,572,130,832,010,736,528,282,498,967,705,853,903,943,413,286,199,109,
810,014,982,231,362,667,053,629,763,822,723,873,934,145,014,927,780,697,880,
593,353,264,130,130,977,114,223,989,244,853,605,762,572,620,063,908,145,321,
577,173,903,441,373,211,188,850,505,377,572,364,871,192,737,384,118,054,807,
161,272,351,563,246,430,319,192,781,674,566,821,428,600,047,922,314,182,388,
828,209,134,649,818,523,483,235,463,616,992,658,761,301,391,645,935,313,071,
298,355,145,343,026,831,042,996,898,783,399,530,947,851,489,571,945,871,158,
267,661,048,697,048,813,055,252,366,941,406,542,731,451,478,374,636,415,276,
983,071,464,803,645,960,173,481,871,716,549,955,793,768,985,519,121,411,856,
187,341,805,520,242,472,294,444,728,610,154,642,676,350,792,064,576,994,305,
967,896,532,371,206,622,155,394,851,285,461,209,542,208,356,879,285,159,915,
770,502,409,293,259,285,152,201,808,671,981,335,153,665,646,395,584,003,988,
536,913,075,695,307,633,984,696,272,292,680,983,938,503,272,722,140,847,095,
469,957,562,163,366,166,797,308,752,438,115,113,941,191,567,994,380,560,852,
209,978,277,468,221,242,668,450,164,693,236,534,964,368,081,770,298,984,889,
418,833,433,250,592,318,913,922,179,610,706,130,693,418,402,433,064,406,656,
035,630,334,484,449,957,887,235,735,864,083,952,894,073,668,118,443,082,558,
359,160,650,508,177,383,216,973,701,030,425,267,693,981,379,184,710,514,800,
761,374,149,366,975,040,905,384,156,299,540,367,681,497,825,836,052,829,256,
594,319,162,140,445,450,795,571,314,780,303,793,663,241,174,093,493,706,733,
674,321,400,371,690,478,013,655,535,424,562,683,006,239,307,422,555,124,771,
111,577,871,308,373,083,358,019,008,708,045,409,209,520,407,931,617,838,671,
889,879,268,657,236,734,570,495,173,450,275,761,885,184,045,641,466,506,994,
986,383,085,265,473,009,071,449,984,134,551,605,499,846,959,475,621,283,566,
864,667,304,105,262,157,944,122,155,960,198,892,016,420,776,025,339,189,642,
010,453,217,952,714,444,039,607,610,697,417,136,958,492,382,220,876,396,610,
943,338,142,054,873,900,487,996,420,124,798,103,992,719,612,593,735,637,376,
472,492,076,958,632,991,933,718,227,698,498,752,478,201,963,644,364,546,214,
375,979,439,255,158,751,233,399,543,407,594,709,040,825,647,190,141,942,867,
357,044,841,688,606,119,362,153,963,520,907,317,109,366,121,439,054,933,617,
773,443,261,583,479,489,399,998,246,005,400,241,189,790,354,119,681,152,388,
643,441,656,222,173,550,423,515,068,020,800,056,038,687,083,914,107,432,331,
477,351,261,278,762,400,231,142,406,568,898,574,747,130,437,610,960,091,983,
797,404,666,072,521,048,497,522,696,020,851,776,349,924,044,619,151,713,142,
572,818,948,663,814,276,114,076,359,573,373,449,788,012,605,498,152,364,918,
091,075,066,466,116,910,438,539,383,642,093,056,398,293,471,544,247,713,174,
638,224,457,635,611,000,074,659,629,222,962,535,954,357,844,115,149,033,653,
602,056,054,747,835,918,108,232,519,760,250,795,885,627,926,259,169,415,102,
418,612,074,506,207,001,284,008,490,584,590,146,082,361,720,006,487,869,673,
421,522,832,299,072,078,529,352,334,974,757,235,435,175,352,297,657,250,195,
572,343,589,546,937,318,592,392,681,053,210,075,609,121,085,950,974,418,896,
404,783,490,974,409,741,438,641,162,543,586,283,512,931,676,164,868,759,364,
381,037,367,586,828,005,006,516,965,500,088,018,630,544,499,842,342,929,985,
022,023,333,684,672,556,770,827,669,710,953,010,618,271,660,544,275,455,959,
387,712,373,605,950,944,794,766,962,289,820,826,298,488,507,265,255,024,012,
310,361,137,056,003,586,766,569,796,121,570,368,627,001,825,487,576,015,612,
141,066,070,302,281,040,259,199,758,688,044,098,300,109,575,020,018,252,788,
261,711,492,023,038,033,588,355,193,191,557,859,520,910,105,382,603,090,654,
836,572,663,047,914,556,612,911,470,322,010,690,980,824,549,519,971,527,287,
740,567,049,996,007,530,220,883,256,620,976,804,086,884,716,859,667,710,993,
185,325,849,465,395,103,266,070,229,617,568,009,184,576,064,609,452,381,672,
139,506,382,890,682,224,763,114,816,233,174,134,036,194,916,951,224,530,899,
293,126,324,715,929,696,883,928,952,466,464,225,106,116,663,762,921,927,876,
164,906,691,616,373,541,036,370,931,469,299,549,183,462,408,045,632,466,387,
927,885,982,019,367,861,332,763,598,766,275,774,060,423,958,718,189,277,782,
424,425,774,176,861,699,566,776,824,693,382,997,064,013,741,741,249,109,963,
124,543,383,389,446,717,252,326,310,389,912,187,007,284,253,558,351,766,914,
728,483,991,748,196,553,808,278,244,643,807,015,379,549,895,654,500,109,802,
971,334,428,281,348,473,224,531,027,092,930,263,200,941,637,744,873,455,134,
563,357,912,730,471,220,117,889,332,396,388,538,808,160,054,464,382,261,131,
652,196,977,765,337,344,678,429,383,396,100,161,117,974,328,718,201,182,534,
152,197,897,201,454,089,880,679,458,800,092,386,237,587,627,289,265,082,236,
668,224,418,901,643,454,144,082,486,320,143,603,164,097,310,005,390,155,699,
304,201,346,001,790,805,530,365,181,423,712,249,866,528,780,907,949,596,900,
277,674,721,814,929,668,421,297,695,618,613,765,284,090,141,665,954,547,845,
518,560,325,678,135,706,351,251,876,026,934,778,562,121,338,786,565,148,800,
311,497,758,023,510,463,560,619,785,554,760,084,724,671,144,696,461,090,442,
476,258,446,679,082,656,613,206,352,085,117,399,590,017,329,577,177,395,825,
614,157,040,938,320,826,939,026,260,596,841,581,968,213,535,664,680,649,035,
208,730,558,682,236,034,959,205,802,661,384,243,063,263,644,610,304,013,835,
873,700,823,870,022,972,515,340,809,469,842,251,326,546,680,676,590,236,554,
223,512,028,052,740,825,198,281,093,652,276,500,650,882,048,946,927,807,071,
960,208,862,731,043,614,851,269,885,369,980,532,036,126,661,093,113,555,590,
221,760,940,822,255,764,077,320,303,545,731,081,253,461,423,543,409,240,719,
281,828,985,517,131,002,232,378,217,497,903,754,715,109,911,838,801,715,723,
793,567,409,462,548,073,804,660,773,783,484,820,732,082,825,877,780,096,929,
651,008,190,035,087,588,601,575,383,011,459,760,480,459,407,444,381,966,994,
690,880,963,672,261,765,466,885,990,820,261,976,955,644,910,688,243,776,714,
088,982,667,096,833,930,485,435,675,921,200,522,305,535,090,955,885,864,244,
909,817,350,607,058,627,855,590,835,930,618,377,443,006,824,014,233,527,350,
413,007,349,926,478,180,562,848,633,533,712,941,269,591,539,331,210,974,934,
841,525,851,929,570,060,455,684,376,181,354,030,064,779,463,938,755,036,908,
941,537,447,880,434,680,543,763,723,224,171,623,598,220,920,247,186,422,861,
454,034,767,093,996,495,281,375,552,757,751,345,596,046,152,675,920,320,476,
011,243,628,165,892,340,052,748,005,402,669,541,845,084,029,828,134,667,982,
179,260,181,793,190,115,940,629,694,950,683,834,215,787,813,371,286,229,892,
330,806,116,142,719,860,534,638,181,822,525,858,508,917,127,019,674,875,744,
838,876,503,152,457,254,827,340,738,047,503,179,530,855,008,485,385,746,998,
168,187,148,406,616,723,519,119,394,773,581,137,823,839,927,897,041,332,800,
002,085,087,116,372,681,075,304,677,892,358,468,828,081,628,021,651,801,987,
739,565,673,251,225,764,332,187,178,776,896,676,846,265,700,306,651,408,023,
069,992,164,785,446,434,888,886,474,297,075,336,307,692,493,188,402,969,178,
299,637,753,692,680,170,916,509,671,464,951,152,365,373,628,791,423,740,208,
351,976,571,047,841,180,947,841,500,945,238,986,039,880,016,629,010,072,592,
648,184,093,815,017,641,094,754,902,123,910,330,457,646,494,698,290,611,472,
978,525,532,041,079,479,996,322,795,546,569,359,682,296,857,634,648,321,208,
287,524,177,416,601,403,136,746,554,658,453,537,143,590,808,980,385,405,148,
720,126,614,506,897,545,704,400,446,865,246,403,267,001,627,857,828,207,301,
844,555,876,939,392,851,523,019,512,620,855,158,923,977,479,798,513,614,189,
033,427,683,525,206,030,796,320,847,624,813,479,733,947,137,200,711,365,901,
762,377,665,543,545,502,643,148,892,680,094,084,122,208,399,171,753,124,800,
873,351,402,095,122,709,145,447,666,616,714,126,000,622,029,803,606,987,671,
475,903,160,131,084,420,606,079,236,339,334,809,211,668,781,228,347,738,914,
414,758,940,743,450,793,923,655,965,188,260,206,176,167,083,052,100,792,062,
329,954,355,780,958,109,476,054,769,438,073,322,286,766,876,832,305,325,922,
311,253,517,868,031,027,198,949,644,086,336,874,616,410,225,354,414,178,343,
404,964,738,787,604,656,620,978,116,956,334,939,455,479,790,338,011,023,290,
618,422,429,851,708,999,457,052,649,002,252,210,183,843,911,325,825,778,750,
703,228,434,788,975,404,651,364,126,889,034,399,047,820,647,115,753,100,879,
518,956,919,363,861,233,676,185,870,894,427,696,310,831,661,246,881,745,346,
188,266,699,136,590,370,380,987,123,940,717,950,981,491,147,720,850,467,618,
299,879,161,699,947,890,245,821,816,532,094,497,267,743,552,541,289,969,242,
784,639,754,571,701,428,073,024,037,498,457,321,809,412,821,622,227,960,658,
041,493,710,479,102,634,882,994,564,797,912,729,274,144,407,902,352,707,047,
076,501,183,628,282,830,163,130,161,116,281,686,286,842,112,247,010,689,346,
467,150,398,121,930,534,390,714,192,101,192,493,302,189,495,896,031,647,069,
220,196,310,288,941,637,678,522,651,203,454,866,514,515,429,709,087,238,178,
635,956,643,448,205,265,190,245,648,975,923,549,713,820,861,277,808,555,848,
650,048,648,905,434,575,671,612,568,174,673,090,430,197,712,048,513,287,166,
241,231,181,084,137,192,599,964,717,102,547,885,635,689,212,909,078,438,661,
922,503,241,749,856,783,343,548,426,749,816,450,979,921,394,863,228,559,892,
528,612,507,219,025,215,162,168,032,354,965,456,259,672,865,742,136,274,900,
567,041,157,057,162,593,081,196,220,048,777,124,340,664,305,917,671,906,781,
718,824,179,704,433,936,723,908,956,630,507,982,299,294,586,584,424,578,004,
825,535,930,769,448,154,855,614,927,056,284,249,357,570,657,469,547,508,671,
141,280,461,719,978,648,418,948,126,264,920,735,254,449,414,299,013,743,056,
761,043,259,984,256,854,202,015,165,849,362,258,910,521,225,296,156,970,380,
825,235,127,231,593,282,007,385,446,020,647,747,724,021,257,555,142,948,269,
764,357,847,685,234,527,138,190,810,884,751,777,118,713,703,203,554,041,276,
315,557,913,231,127,303,792,872,827,693,384,450,216,341,167,692,938,339,092,
952,842,931,550,103,698,723,585,442,352,044,081,274,741,515,397,341,891,505,
056,248,937,692,380,068,878,909,550,918,156,286,234,697,236,177,881,062,719,
587,519,375,102,060,001,126,722,682,673,281,049,609,986,864,367,756,253,238,
662,044,023,608,532,761,224,939,247,883,523,029,813,897,118,103,370,733,075,
343,797,743,304,650,495,556,837,093,056,577,347,283,941,831,719,515,395,738,
479,118,441,730,827,686,015,177,981,379,020,410,420,060,113,151,018,964,669,
143,204,932,464,049,783,854,357,427,075,839,690,042,646,049,074,942,571,666,
629,636,576,416,801,727,505,998,826,331,869,841,864,746,122,295,115,274,777,
818,264,742,958,427,657,677,201,730,246,477,817,288,333,297,811,954,962,789,
733,094,974,899,275,552,440,255,471,610,040,785,227,680,613,394,896,148,309,
877,068,893,964,912,559,665,667,657,080,072,713,366,995,082,513,718,272,478,
538,922,929,436,515,200,988,496,008,472,659,562,540,549,993,132,056,515,883,
676,102,102,248,541,289,041,261,500,147,009,301,094,136,705,342,358,287,106,
280,250,810,985,424,985,373,159,371,498,513,975,373,227,448,895,874,760,849,
453,925,466,917,235,807,762,893,748,677,133,125,381,417,390,910,402,137,889,
808,133,210,653,434,704,842,181,493,187,734,867,093,690,866,218,913,795,718,
093,595,489,100,943,977,075,382,235,778,886,119,977,869,607,102,554,489,589,
559,251,632,048,154,947,908,736,688,609,635,857,396,212,103,928,373,987,030,
359,106,654,283,516,527,392,995,012,677,133,830,197,803,559,166,773,683,917,
194,995,972,533,819,020,224,907,158,522,395,348,783,224,626,625,947,728,990,
586,254,989,810,498,132,627,364,955,066,105,755,060,865,104,476,230,278,927,
781,400,360,266,107,955,967,688,423,458,842,765,898,499,105,685,261,927,966,
216,487,299,984,532,682,237,207,408,127,503,288,345,901,007,119,285,308,201,
354,878,549,234,537,204,647,837,566,526,168,062,418,986,001,262,637,620,874,
662,739,922,605,137,341,403,677,710,159,146,153,805,841,063,758,731,132,062,
670,569,201,460,123,861,412,367,526,647,023,583,269,786,162,563,773,605,296,
619,069,100,611,002,246,923,725,564,884,602,907,717,205,651,931,130,877,323,
492,779,835,738,910,382,249,617,793,761,239,714,455,429,401,281,920,394,526,
946,075,047,103,168,336,712,284,117,773,150,130,845,987,535,453,433,960,277,
342,228,041,963,264,798,742,496,677,758,297,816,449,054,616,237,971,477,223,
300,544,900,275,456,203,388,466,426,502,183,479,021,085,544,182,667,008,201,
295,625,783,734,037,911,697,991,693,453,565,375,763,515,932,465,931,550,724,
962,519,695,726,391,150,195,571,808,510,280,793,240,326,331,542,047,792,821,
510,785,512,642,705,369,566,036,854,720,855,672,182,606,911,120,955,966,700,
819,004,365,197,738,380,833,190,003,568,906,470,515,432,535,949,443,024,337,
819,863,521,052,862,213,581,482,581,523,042,603,539,151,763,262,740,807,257,
420,972,147,230,253,644,361,158,513,394,516,805,922,921,474,681,809,818,759,
439,662,679,354,114,142,805,512,382,614,213,016,622,027,444,723,370,983,090,
815,650,484,138,512,553,333,954,852,683,327,926,791,782,621,807,106,862,562,
270,318,633,773,070,355,673,099,607,232,394,088,180,595,246,071,599,236,971,
023,040,097,639,769,378,368,152,768,399,266,080,383,904,595,579,530,824,743,
660,501,317,624,408,220,555,552,458,556,868,372,077,125,122,377,685,965,013,
473,406,065,057,137,867,193,967,590,189,444,121,118,750,082,281,008,686,897,
026,147,973,969,400,322,120,537,139,728,613,867,552,276,569,659,196,231,868,
723,814,082,960,562,290,296,735,393,310,086,407,153,786,256,851,244,059,376,
652,703,515,667,429,017,525,891,780,672,680,536,481,940,815,218,880,468,112,
253,192,427,376,704,508,757,093,762,433,192,608,107,409,013,064,989,142,585,
851,857,800,849,880,020,704,794,109,045,343,678,461,884,928,380,145,003,940,
575,599,459,001,361,606,145,738,398,714,914,808,538,777,222,335,389,309,302,
511,783,173,005,202,872,428,082,387,340,516,697,791,073,535,117,923,419,600,
413,742,217,790,935,548,928,651,661,563,343,503,214,875,840,840,308,328,918,
936,138,028,931,110,933,278,495,960,757,138,759,183,971,879,779,701,858,018,
465,795,523,118,315,744,446,629,023,312,246,580,335,065,452,767,561,029,051,
874,981,765,564,120,529,895,454,009,390,541,766,673,501,328,528,394,502,324,
389,997,638,514,439,736,267,971,070,354,048,292,815,047,485,747,600,442,556,
877,382,235,013,534,770,956,403,706,543,824,325,099,227,891,500,536,825,563,
616,206,610,007,185,508,436,258,779,916,555,934,750,226,624,049,007,033,957,
003,704,925,631,795,533,385,039,300,436,927,948,725,061,028,317,528,104,560,
439,459,332,956,051,682,954,642,162,840,486,352,535,040,858,089,590,710,073,
626,374,445,513,179,405,116,655,634,429,297,132,075,753,401,007,388,756,586,
094,643,404,019,306,487,298,713,167,949,864,169,369,675,240,259,571,806,525,
980,598,254,528,751,597,143,275,310,475,630,932,058,205,760,191,694,400,531,
470,292,433,063,248,791,446,884,880,747,764,248,904,099,751,895,456,843,487,
204,123,878,070,262,373,598,820,682,037,631,346,636,511,079,461,898,209,519,
079,224,558,732,706,771,326,304,583,825,889,879,953,348,219,102,562,858,007,
518,218,752,506,936,878,706,008,119,051,380,915,741,420,968,805,218,343,056,
176,514,808,671,037,598,935,871,709,547,052,575,857,695,993,248,837,689,162,
661,630,882,250,667,789,271,915,825,145,418,184,593,713,301,659,920,168,081,
621,106,327,954,461,977,502,478,606,825,430,011,000,363,812,740,662,984,807,
980,518,870,392,221,576,777,587,478,664,461,021,663,290,293,858,675,853,059,
255,076,092,812,385,261,040,464,151,211,162,216,835,548,008,398,657,314,918,
512,609,694,399,457,341,436,062,131,738,302,905,833,978,191,283,812,361,504,
268,784,872,697,523,646,885,393,074,355,420,265,214,411,628,131,885,872,731,
097,313,593,249,652,598,634,172,438,682,420,104,135,045,259,801,850,311,452,
749,522,557,788,483,553,121,101,656,820,616,305,860,138,521,293,967,101,559,
585,587,198,947,047,156,618,858,376,875,945,651,857,919,228,591,553,094,573,
360,668,998,013,746,949,233,025,043,099,196,793,185,911,755,433,272,250,505,
270,259,638,268,143,814,946,031,785,398,334,189,224,043,911,367,409,046,587,
135,628,919,811,766,178,616,699,187,510,695,046,671,296,136,239,413,867,084,
796,975,402,405,054,672,420,232,921,464,859,916,878,362,256,008,680,996,380,
204,963,189,121,431,794,851,579,440,567,942,291,801,875,665,611,279,612,900,
594,066,288,994,620,627,583,851,202,629,937,547,854,202,480,252,709,793,918,
880,104,313,543,217,188,223,638,198,156,127,648,098,906,586,601,417,458,097,
634,746,657,546,244,135,370,133,624,656,381,474,941,779,479,448,081,802,614,
797,334,048,561,171,841,190,256,771,311,488,673,716,794,287,250,665,803,850,
585,612,933,774,158,754,306,019,114,638,672,352,014,701,055,271,951,664,088,
056,509,270,734,502,278,101,167,164,998,632,640,548,091,134,753,166,861,677,
469,018,564,380,383,579,094,698,500,327,748,548,775,025,278,184,474,203,282,
891,824,922,548,074,313,191,888,933,322,970,120,579,859,560,085,845,514,196,
795,382,560,661,186,227,611,134,407,154,530,605,002,077,391,851,372,894,363,
726,207,650,995,017,142,632,658,476,693,964,810,382,200,529,168,095,808,002,
616,298,413,511,935,991,909,233,599,908,488,247,992,376,713,364,090,268,193,
231,797,307,958,115,640,284,894,373,640,599,394,952,733,911,895,470,657,733,
575,067,635,768,006,437,841,415,169,588,371,266,307,644,522,680,551,134,514,
788,620,697,718,736,599,847,491,326,086,456,062,021,029,390,758,710,572,545,
999,443,700,119,789,196,191,637,266,606,229,922,923,290,675,293,491,749,157,
265,662,282,628,345,670,261,891,438,562,106,015,191,247,151,507,719,706,140,
276,969,721,191,754,854,801,580,671,406,696,961,318,877,915,777,881,071,143,
686,944,547,388,466,905,504,651,379,909,245,050,159,624,725,739,225,705,391,
072,114,132,110,338,456,823,653,981,935,203,979,805,998,877,293,776,837,193,
561,248,086,326,912,255,349,919,657,288,386,083,632,753,132,810,591,775,605,
727,857,040,748,396,850,303,776,320,186,522,636,565,078,489,783,484,452,371,
585,289,850,650,344,145,168,931,479,649,565,359,863,070,608,084,795,059,914,
658,261,600,747,260,544,132,635,459,180,292,102,267,650,144,068,193,131,280,
567,509,721,050,601,633,050,534,428,281,259,871,578,652,286,198,118,255,356,
223,250,746,614,219,920,456,995,547,712,911,967,050,737,620,091,649,882,157,
914,978,108,225,433,880,293,228,331,716,095,232,655,707,897,278,821,591,323,
622,572,992,680,051,750,915,911,865,448,547,438,582,604,643,649,795,816,616,
898,213,981,462,841,894,463,987,053,101,541,637,650,525,833,455,872,918,624,
074,970,438,305,030,363,890,022,160,296,785,619,671,598,201,302,093,771,738,
776,541,222,766,023,984,185,415,809,094,044,742,726,343,862,346,221,529,733,
104,702,553,263,248,878,903,613,713,590,862,220,471,156,776,537,697,943,075,
013,855,199,640,467,265,912,280,769,863,014,640,828,040,994,022,634,049,259,
061,928,704,443,003,598,286,704,725,708,630,083,367,189,121,243,572,902,186,
811,426,345,893,220,889,921,171,726,406,692,731,765,951,033,326,289,673,124,
116,342,360,737,584,889,520,944,736,323,731,220,957,084,479,185,796,558,093,
653,175,527,353,589,021,023,941,834,739,201,384,286,105,624,559,381,064,929,
713,897,099,183,605,968,109,464,846,597,314,208,266,725,783,154,511,351,962,
791,916,978,341,514,621,912,314,060,287,508,377,074,028,382,285,858,626,555,
243,275,582,865,183,960,186,622,606,430,686,034,359,548,564,825,188,489,374,
163,758,017,216,720,497,066,362,209,146,800,346,713,918,041,191,791,325,483,
678,058,704,479,627,590,954,566,111,702,862,295,025,725,025,906,710,388,390,
405,681,420,390,451,950,545,889,779,877,753,729,555,893,676,445,623,493,705,
133,090,411,524,675,502,970,111,392,912,711,888,307,886,635,180,986,825,357,
163,026,832,110,021,019,403,140,708,393,761,172,891,270,678,490,859,249,274,
564,381,937,422,180,042,777,308,351,401,826,605,463,441,118,803,634,591,061,
220,953,704,424,126,046,260,546,316,286,437,961,395,902,329,823,198,952,690,
362,263,205,017,089,750,528,981,667,163,095,409,054,396,956,581,107,115,532,
406,696,300,479,641,713,603,557,650,234,443,049,666,137,285,049,358,603,532,
555,068,879,703,698,602,110,003,201,484,513,339,227,848,641,137,091,834,455,
969,499,857,476,956,233,772,808,756,813,420,459,823,414,457,103,678,509,099,
397,829,886,728,256,295,650,701,973,533,383,157,692,986,435,623,149,551,349,
828,344,923,181,810,677,389,898,175,971,368,727,010,873,283,183,797,357,107,
089,411,377,505,601,834,107,605,933,439,497,677,150,777,549,779,067,972,749,
267,275,173,558,087,470,617,877,704,255,729,312,632,437,980,886,186,897,007,
519,195,568,427,010,753,468,963,598,963,503,406,189,419,420,975,539,155,762,
866,921,098,916,051,430,949,895,548,916,611,023,263,720,051,108,137,788,180,
972,163,533,896,828,564,181,260,830,626,386,892,735,308,402,717,668,045,766,
052,903,936,505,167,289,509,843,609,076,855,250,124,913,152,490,245,459,780,
752,513,923,337,969,244,429,218,908,687,265,064,037,360,438,340,632,592,244,
319,735,596,903,246,487,354,650,169,795,061,748,170,088,306,185,605,217,613,
825,753,238,616,717,153,430,909,480,796,955,203,395,523,054,421,377,800,684,
882,093,202,231,212,644,821,669,788,493,046,034,021,711,771,634,911,063,656,
462,634,542,133,688,440,900,091,841,012,113,164,069,338,367,148,127,035,423,
290,650,945,963,476,552,148,821,111,584,011,892,483,972,975,625,175,038,497,
303,221,516,074,224,122,722,732,423,463,623,979,463,433,391,569,937,824,297,
469,468,130,156,917,232,456,580,915,386,792,730,781,714,335,931,817,130,654,
978,389,274,653,014,652,550,641,780,840,186,466,320,912,326,818,553,380,888,
312,956,281,949,092,922,241,744,839,728,488,772,917,655,720,988,273,043,326,
132,272,805,892,927,280,425,204,474,487,239,281,301,307,643,493,721,257,437,
824,306,210,540,147,682,281,192,741,628,332,834,216,597,919,320,435,000,896,
780,581,971,153,472,105,414,753,734,443,105,012,797,314,137,179,106,791,375,
429,989,407,056,398,742,644,426,893,485,341,344,297,776,576,439,160,646,298,
254,241,623,472,337,346,383,245,731,763,991,948,512,007,752,133,136,921,632,
537,418,316,917,789,120,601,967,351,771,373,851,767,036,319,528,666,185,980,
032,461,021,115,824,256,671,529,539,621,182,227,410,424,432,841,716,343,445,
200,899,671,050,208,890,035,777,647,137,863,342,266,325,295,537,248,009,995,
820,611,411,115,947,844,432,970,583,756,542,914,224,877,451,121,904,655,352,
366,184,588,794,578,045,785,312,371,289,944,720,376,582,503,989,839,727,266,
894,778,953,208,440,755,171,075,187,043,123,447,283,372,649,483,455,729,831,
989,427,334,217,040,956,057,614,483,464,014,146,746,571,799,041,436,786,999,
252,435,496,732,777,505,013,674,455,948,190,887,694,936,875,959,865,312,513,
084,426,652,780,061,924,846,624,641,977,085,709,057,147,294,232,922,543,311,
477,926,837,766,317,904,673,705,609,127,141,363,903,269,299,591,401,733,826,
702,941,696,420,657,204,890,598,341,176,976,283,938,861,281,621,302,522,187,
054,345,260,021,256,747,788,327,114,112,182,632,823,373,083,363,074,950,008,
061,075,023,920,694,416,046,888,235,848,167,925,304,872,018,577,901,553,540,
120,422,610,348,618,954,913,965,747,797,091,142,708,490,234,771,159,683,555,
510,494,388,052,948,548,430,000,326,634,959,076,233,455,560,694,050,449,154,
042,134,077,739,274,770,716,469,375,086,456,303,302,428,537,474,205,153,633,
945,481,283,861,143,009,509,442,557,290,037,100,835,698,550,427,058,202,873,
067,064,398,109,090,281,189,738,203,255,864,880,232,080,027,980,386,958,674,
471,241,450,465,624,006,188,045,006,180,197,861,915,057,160,371,498,817,883,
995,028,742,485,782,074,835,516,233,066,629,971,057,719,116,558,177,255,079,
805,533,660,231,835,255,543,990,906,681,808,438,159,019,505,034,510,154,555,
410,936,985,387,897,841,159,648,907,578,057,835,712,440,804,943,386,562,334,
387,073,198,127,764,757,584,865,679,653,058,682,276,837,303,876,302,069,196,
289,404,751,514,697,068,960,492,098,163,852,298,626,205,223,893,519,466,793,
541,134,947,496,207,802,551,977,356,370,719,752,287,870,585,479,892,572,204,
434,215,294,794,694,478,354,613,080,411,851,004,826,393,387,328,802,161,851,
050,908,591,665,158,085,592,606,698,583,024,737,972,782,782,518,108,375,047,
183,925,004,737,712,413,939,315,794,568,099,150,110,646,857,008,507,770,061,
155,821,775,239,615,813,790,759,657,828,374,228,295,549,018,253,686,409,969,
308,483,016,911,584,145,828,001,289,248,633,238,611,634,320,024,898,190,949,
095,347,289,552,342,238,682,756,562,966,985,981,722,883,587,009,289,231,789,
246,027,308,474,901,225,029,271,604,687,956,233,899,237,275,729,494,203,439,
993,349,913,239,291,004,993,004,432,910,695,561,067,778,414,326,693,861,848,
532,332,224,986,760,424,889,410,541,385,088,532,060,889,051,983,474,242,798,
127,303,869,266,414,776,623,175,873,238,685,996,308,244,728,368,217,711,702,
314,177,027,533,554,660,576,531,502,847,122,826,664,430,716,644,283,534,505,
815,423,912,828,155,392,348,417,029,232,565,508,999,357,630,375,404,853,669,
215,025,149,815,902,236,803,178,196,753,930,047,209,920,799,791,197,300,431,
290,663,935,559,253,044,743,411,558,230,798,045,558,536,342,851,267,369,820,
331,024,978,603,962,381,090,224,915,464,661,301,800,350,388,743,020,844,786,
178,434,324,138,534,760,651,863,555,318,843,696,878,034,573,021,924,454,244,
492,525,823,096,320,183,354,731,431,722,688,999,962,349,989,540,656,802,782,
338,817,113,656,453,529,736,387,117,609,589,362,296,521,005,257,415,648,183,
440,399,630,267,334,658,533,888,617,275,356,199,241,557,642,942,252,842,394,
902,028,522,629,850,673,715,483,063,754,994,415,478,914,479,627,558,973,867,
266,200,261,127,335,762,749,866,130,197,222,682,258,344,205,158,382,805,344,
942,289,063,181,681,704,423,431,880,271,482,283,974,103,018,997,227,206,507,
882,043,490,968,753,932,672,823,890,865,629,887,756,018,715,934,647,289,659,
559,248,932,625,645,263,517,371,297,559,515,367,077,631,473,558,990,489,257,
149,285,325,502,473,379,540,954,141,562,011,014,068,057,187,051,027,526,566,
922,984,115,641,696,716,220,762,798,584,740,082,633,832,808,251,309,632,345,
830,481,318,228,814,248,609,060,224,947,825,453,585,375,917,349,253,790,220,
176,723,301,004,826,331,951,962,420,745,784,786,213,935,251,636,535,973,983,
414,027,828,940,885,454,773,592,919,000,928,735,489,404,416,653,384,132,845,
369,769,241,954,035,195,559,964,087,190,359,772,527,373,671,866,864,525,592,
949,218,684,126,410,611,808,542,834,394,659,993,504,214,654,727,792,793,465,
681,369,808,406,535,736,859,229,326,068,085,891,310,410,397,227,218,227,017,
515,696,667,593,811,064,845,113,965,638,154,214,525,558,557,197,744,265,179,
419,151,290,943,299,879,116,622,926,355,832,451,419,132,178,162,616,296,932,
662,991,522,410,130,875,686,587,183,312,814,837,914,568,695,097,515,276,972,
750,735,070,626,715,201,004,517,475,348,667,781,170,725,852,605,848,435,936,
482,053,040,861,547,786,995,662,388,903,969,572,956,853,288,508,354,486,299,
399,573,911,865,960,023,490,997,562,990,745,834,607,614,089,097,806,236,598,
425,328,167,320,584,366,291,726,991,925,195,835,705,552,301,105,894,504,861,
938,603,144,904,434,203,103,506,224,488,984,173,354,631,556,559,391,344,942,
017,297,505,386,331,985,723,489,143,066,900,115,387,259,858,841,963,972,519,
158,196,260,147,764,767,396,429,880,121,386,916,160,955,605,733,942,687,877,
119,315,026,358,376,823,694,346,267,096,842,419,159,393,189,998,930,445,904,
490,888,437,185,805,501,039,152,591,930,600,525,626,143,605,250,083,573,664,
566,338,805,613,532,182,192,985,145,722,748,242,958,892,406,316,260,168,518,
122,973,788,340,585,341,558,896,879,217,127,667,849,664,930,938,801,398,404,
766,123,371,151,602,431,584,379,396,427,714,579,941,521,213,641,920,911,201,
243,588,214,551,485,823,574,555,157,430,765,784,217,566,847,002,316,680,091,
117,469,520,336,975,638,481,932,190,280,866,713,352,251,999,960,447,114,508,
022,662,952,282,409,831,870,474,796,220,506,580,497,583,532,431,888,259,321,
636,799,834,417,858,705,724,385,738,622,691,809,250,061,870,103,388,058,191,
254,934,512,651,147,865,828,153,061,595,610,440,934,905,444,777,654,472,403,
203,504,383,710,680,468,315,144,860,334,126,993,346,959,805,134,236,685,554,
152,184,872,623,514,038,440,898,046,127,977,563,680,534,280,972,076,403,752,
350,414,794,862,468,197,199,291,557,932,636,712,537,085,830,730,486,608,112,
505,186,479,865,844,797,149,569,934,608,537,314,116,086,463,656,489,919,162,
057,001,437,304,763,658,000,367,954,594,992,882,111,157,672,966,161,555,653,
895,712,766,127,373,730,834,091,141,349,678,283,970,735,118,548,704,080,573,
693,777,191,301,381,933,273,881,315,277,613,431,517,384,649,828,430,563,510,
031,119,731,618,823,673,594,225,904,879,872,061,758,430,983,421,407,363,907,
978,221,570,822,408,914,184,509,134,767,404,707,420,462,325,045,334,614,135,
745,739,706,638,454,627,283,481,271,150,805,954,547,802,160,904,565,360,071,
781,935,054,700,107,325,124,517,063,712,397,292,956,879,992,567,764,824,407,
314,981,659,907,382,340,721,798,406,085,538,472,418,391,179,248,765,171,015,
132,929,428,562,622,169,666,816,039,254,503,331,137,059,561,367,678,281,151,
264,951,687,536,286,299,694,108,517,068,929,430,056,079,687,617,650,709,917,
643,336,480,314,688,557,771,671,306,044,633,834,401,171,735,014,482,255,794,
200,943,340,167,218,430,090,703,287,036,115,850,075,982,921,108,889,525,279,
864,753,908,015,943,963,009,317,452,953,699,197,882,540,353,088,574,156,512,
082,333,710,084,027,816,663,544,295,107,597,866,221,438,530,165,083,495,390,
173,939,074,559,165,417,124,530,258,664,638,487,196,874,665,056,021,344,437,
695,551,416,365,394,914,219,951,933,544,841,287,196,804,605,458,900,631,990,
276,630,377,666,216,859,312,471,048,484,188,888,063,039,154,694,425,893,388,
376,017,563,545,506,701,285,624,522,435,943,115,240,508,664,438,412,356,676,
076,292,052,144,118,560,781,191,070,682,829,024,951,273,344,864,235,674,250,
895,591,851,291,853,458,026,068,730,098,176,419,337,654,368,273,957,571,427,
631,460,933,648,386,176,808,143,342,051,776,006,578,677,364,522,952,137,941,
469,062,175,854,714,731,780,273,188,265,123,697,152,692,164,507,616,420,831,
281,994,690,653,488,139,515,430,515,952,804,979,790,304,303,003,371,156,288,
886,949,220,385,662,834,496,334,491,699,297,743,379,850,535,379,831,250,875,
649,041,994,300,411,220,312,098,736,272,820,887,896,557,686,870,374,291,422,
304,657,565,045,459,449,811,499,829,919,651,973,898,104,058,098,402,219,231,
230,142,343,005,045,257,442,761,027,895,650,308,568,972,072,148,138,796,945,
516,359,705,184,669,593,081,439,902,847,927,676,343,868,843,830,965,365,089,
615,589,781,738,074,555,200,930,715,762,037,713,222,713,828,198,828,085,032,
704,375,600,869,218,215,619,375,812,456,739,503,922,318,184,210,281,125,420,
863,327,155,118,555,950,779,436,996,504,317,687,462,927,154,839,143,481,730,
077,815,339,544,300,837,391,036,630,511,700,473,117,475,871,973,350,634,459,
959,255,386,597,894,963,421,364,998,703,232,369,291,530,968,276,829,801,722,
322,450,121,290,424,194,897,755,039,786,979,552,349,690,092,219,511,223,743,
184,116,027,732,843,130,390,833,638,702,057,621,616,797,709,414,842,178,351,
765,906,829,679,616,369,042,777,277,781,102,261,330,295,683,427,639,870,936,
946,218,956,756,574,222,807,457,115,431,873,814,309,727,619,102,281,028,871,
963,609,457,698,889,493,340,929,477,806,792,506,933,415,304,698,736,734,304,
062,327,631,500,982,194,158,266,150,847,014,575,428,526,708,799,918,088,498,
670,884,347,570,510,098,815,897,532,482,241,360,271,559,297,462,334,888,214,
261,670,616,656,690,497,943,480,404,221,442,861,061,099,607,909,518,722,608,
527,287,106,244,825,772,445,964,387,402,977,533,945,122,302,739,789,403,906,
908,343,880,615,680,818,408,783,731,204,533,238,232,759,323,748,902,992,966,
288,585,769,978,818,932,922,765,902,833,352,045,480,867,570,266,428,986,427,
971,604,824,075,489,083,226,008,960,447,867,601,354,972,837,527,788,430,908,
484,861,731,527,554,103,535,970,355,827,820,913,348,262,954,651,660,747,541,
390,339,549,675,342,404,767,424,240,708,507,067,949,982,196,649,907,423,893,
476,454,111,516,837,181,588,609,533,263,006,511,465,633,200,070,441,800,874,
065,070,604,326,710,483,101,317,539,888,792,653,358,706,323,029,304,570,994,
630,459,362,316,311,507,684,884,778,084,894,470,462,369,324,809,800,902,770,
861,938,761,006,408,786,082,832,253,183,040,517,525,386,401,258,737,679,615,
393,611,940,127,063,026,962,467,011,471,868,947,599,719,598,867,857,136,990,
499,313,181,977,473,973,104,781,198,202,009,627,886,467,549,815,215,292,093,
364,491,641,456,897,629,625,728,646,083,694,644,972,761,933,776,633,610,822,
147,639,972,022,203,180,819,515,679,900,910,257,674,028,647,852,637,604,750,
745,517,220,642,169,738,081,484,812,257,133,500,672,369,708,438,241,963,663,
488,928,435,486,663,504,130,501,613,156,434,664,285,277,198,942,186,162,933,
313,298,811,437,371,595,702,514,734,532,109,622,000,172,900,992,111,490,446,
493,799,698,847,610,664,417,093,997,170,133,792,582,184,434,944,193,879,005,
601,486,055,761,511,411,127,531,141,340,916,673,622,204,826,637,333,393,476,
915,962,580,176,482,961,432,889,754,477,761,071,793,576,736,227,795,842,887,
492,485,483,944,663,054,679,106,691,090,930,881,235,482,641,397,298,441,304,
555,112,745,140,731,787,014,425,142,101,155,355,088,973,655,258,860,917,513,
747,237,344,478,690,806,507,038,213,642,458,544,482,657,676,383,496,296,290,
432,461,534,675,275,794,100,297,534,352,176,980,820,797,620,425,805,399,934,
006,371,792,035,829,413,003,237,102,267,889,882,420,528,018,828,696,404,909,
814,147,979,474,803,984,121,605,897,616,640,775,199,335,566,404,569,933,694,
284,834,702,636,194,208,722,566,981,583,752,178,455,409,072,523,553,458,345,
254,652,354,500,105,983,451,646,389,085,308,704,365,146,524,141,562,834,787,
753,289,489,069,498,695,614,443,949,113,883,827,949,345,440,177,038,117,448,
356,987,792,026,859,063,086,916,125,388,070,896,190,799,380,738,878,200,272,
103,401,966,669,492,652,995,560,935,558,529,423,877,590,167,536,133,808,949,
323,045,554,966,651,459,851,857,987,232,069,013,697,661,160,974,651,323,282,
042,743,983,877,460,314,534,259,820,993,620,338,601,484,524,524,097,359,026,
144,018,094,676,801,153,340,971,638,073,070,901,993,542,049,770,351,907,345,
725,656,701,321,917,480,076,896,143,058,402,248,577,141,693,303,975,171,631,
901,022,456,182,552,975,904,328,115,799,313,935,996,423,459,270,837,680,500,
781,266,441,098,204,246,842,162,575,645,906,166,402,130,409,659,653,273,549,
563,828,070,390,203,502,249,442,454,052,291,738,602,313,526,012,780,811,222,
002,294,687,138,805,919,699,997,782,284,257,455,930,694,025,071,014,220,518,
276,343,542,054,097,213,724,460,290,547,441,468,459,623,343,474,512,165,521,
825,578,379,172,236,358,748,772,869,760,357,535,925,210,404,734,457,119,723,
016,822,785,839,498,622,386,309,460,918,118,250,634,672,945,357,577,291,335,
413,116,547,399,719,349,765,654,132,639,897,487,790,757,414,821,414,605,340,
096,971,331,862,982,313,987,593,766,636,673,834,219,949,683,033,587,571,006,
664,009,486,753,843,943,948,916,054,391,026,123,228,853,264,057,180,504,304,
584,714,757,274,225,222,181,501,953,937,207,017,501,701,400,408,028,071,217,
063,222,312,910,574,169,225,739,130,340,255,558,061,667,905,605,364,321,352,
541,840,712,924,490,252,321,614,516,479,774,033,817,044,774,785,003,235,569,
260,951,554,244,295,095,614,834,425,616,111,630,144,392,950,785,262,082,664,
347,526,396,760,577,086,664,724,243,064,523,463,930,173,035,361,421,286,050,
073,030,531,292,879,119,922,972,070,856,314,272,400,710,906,109,427,742,568,
811,365,133,523,988,482,597,399,469,644,655,074,196,695,658,753,545,518,911,
517,516,403,324,409,093,040,729,191,595,454,862,332,535,137,815,960,039,710,
446,880,514,696,757,484,743,113,472,468,856,606,391,184,716,686,379,633,129,
852,866,598,057,084,591,226,849,095,250,536,138,403,644,027,394,779,460,669,
772,508,867,073,505,507,106,311,040,727,570,702,027,008,327,147,553,749,438,
553,703,296,862,119,625,042,431,706,615,749,508,686,222,410,076,606,763,719,
556,904,768,567,537,146,003,575,064,059,327,114,467,310,168,153,825,661,843,
969,017,366,000,681,178,654,350,101,484,063,957,977,161,200,054,066,833,429,
667,096,378,305,245,736,746,547,284,713,274,623,342,485,016,190,358,344,674,
932,987,134,969,449,710,965,844,370,033,196,218,550,300,786,882,954,462,909,
381,992,659,071,936,991,849,625,077,913,515,783,621,041,535,021,467,880,289,
006,021,975,661,486,540,933,244,059,321,130,091,560,069,729,227,872,392,944,
537,895,593,424,509,105,920,015,511,708,694,445,932,692,688,298,933,598,915,
717,940,311,327,003,799,141,695,917,007,876,980,751,621,696,951,454,153,505,
138,633,685,643,445,039,557,794,167,805,971,416,817,359,432,126,807,273,162,
250,339,432,849,510,792,235,113,966,441,384,859,293,507,504,163,227,419,729,
010,291,025,982,526,555,793,208,689,909,751,392,161,795,302,041,394,938,699,
405,045,675,873,549,306,256,079,335,568,772,829,271,756,097,788,108,053,337,
517,028,344,442,097,724,134,482,295,769,583,265,406,613,977,771,125,252,293,
311,197,695,487,044,981,496,757,609,072,438,963,581,560,574,669,527,160,463,
795,332,499,772,640,383,186,279,045,325,553,803,097,142,162,999,721,760,839,
416,904,038,656,928,153,026,988,747,948,397,377,036,382,350,890,106,139,398,
681,427,938,206,600,007,100,959,846,539,614,533,115,261,267,929,411,166,492,
254,716,979,800,119,669,791,649,087,374,061,589,113,570,890,828,062,677,871,
745,452,546,589,633,861,061,296,286,676,812,576,641,022,167,083,841,743,724,
993,573,679,528,222,559,773,599,139,110,299,991,698,030,902,802,813,016,830,
158,662,160,305,466,829,177,377,262,902,200,689,614,044,806,173,543,046,105,
698,850,726,783,692,366,057,096,512,209,549,803,478,306,607,404,751,669,592,
566,116,699,334,072,912,585,416,355,904,320,253,535,607,081,090,310,465,815,
961,062,686,767,544,252,728,157,024,026,877,521,077,010,340,407,966,484,113,
814,924,720,685,426,032,732,077,129,001,929,506,919,836,166,660,791,402,706,
370,376,139,353,530,779,360,455,580,065,461,089,390,250,150,559,977,061,004,
031,766,550,659,826,242,192,071,244,250,980,001,839,939,265,563,845,374,748,
999,231,358,699,765,992,225,238,581,048,764,284,289,992,953,962,880,105,141,
934,540,318,916,446,114,171,049,461,786,809,147,582,498,843,737,470,150,525,
067,681,016,517,428,890,925,066,334,104,516,841,369,503,199,078,445,202,140,
915,582,279,359,485,296,845,075,873,525,780,790,296,999,725,079,387,694,719,
811,178,836,765,390,204,683,153,016,965,470,404,882,103,072,540,172,970,964,
786,635,709,551,239,865,770,461,120,528,507,995,270,729,354,384,254,154,915,
819,030,992,991,449,073,398,417,888,707,163,278,325,907,885,377,556,838,694,
439,383,677,113,654,156,310,854,831,537,876,090,643,033,534,494,146,310,275,
606,477,865,790,355,248,969,579,696,398,702,450,759,697,922,604,227,977,809,
312,093,237,980,559,751,409,155,996,116,405,860,271,457,023,478,592,570,319,
995,767,540,113,512,010,588,959,014,548,379,131,012,280,479,330,270,596,306,
944,975,422,948,514,506,344,319,838,488,251,031,976,136,925,157,171,222,776,
417,154,975,359,034,620,202,687,156,253,775,016,232,492,753,835,865,090,180,
174,174,326,028,313,964,983,832,817,912,708,659,705,935,296,801,757,574,510,
624,069,325,777,711,596,053,213,235,919,176,344,810,793,828,378,287,107,001,
529,113,259,910,983,182,908,463,876,165,253,125,301,374,071,798,606,984,356,
787,804,838,276,396,627,407,646,452,502,111,184,309,645,067,857,767,350,134,
227,394,398,566,563,015,234,450,215,153,845,465,323,213,470,388,624,726,917,
694,336,139,674,045,045,072,292,540,396,739,009,148,290,000,215,768,980,383,
032,698,211,677,174,181,258,889,300,498,924,298,762,442,493,331,241,377,227,
626,765,989,970,097,202,999,309,321,969,414,699,137,086,456,683,810,552,015,
706,582,681,932,446,978,473,528,805,038,215,906,887,121,943,258,745,749,062,
138,932,572,286,614,504,794,946,189,949,068,471,792,828,477,458,953,179,388,
377,052,283,119,894,885,446,148,335,982,990,780,039,348,432,492,153,125,787,
770,126,607,981,979,744,482,289,945,028,220,438,440,982,363,017,478,687,201,
082,115,788,947,775,935,883,467,587,606,933,661,741,341,500,650,165,318,814,
152,115,575,716,045,974,714,956,048,065,661,216,068,464,256,793,267,890,201,
290,863,793,049,612,738,975,888,241,801,255,740,547,047,321,035,140,756,839,
778,494,687,113,227,675,384,423,485,359,959,072,303,672,607,562,257,290,880,
112,913,902,804,870,386,326,205,355,939,390,027,028,632,729,356,227,696,210,
203,275,709,237,912,046,080,194,927,687,960,367,191,222,838,434,007,418,622,
461,834,292,876,431,894,027,840,585,294,471,534,844,177,506,447,873,055,996,
637,277,940,504,352,873,759,612,267,236,276,648,993,479,428,695,665,396,860,
378,047,026,847,771,230,912,222,641,173,462,300,607,177,664,867,759,524,966,
026,712,136,173,662,142,944,563,925,895,007,368,345,195,603,748,285,420,197,
547,742,067,903,762,137,296,840,956,980,918,461,978,048,731,868,851,562,712,
809,508,213,128,627,849,353,209,613,200,355,159,593,092,617,207,144,356,746,
288,839,354,550,405,941,904,691,947,756,809,904,544,756,088,391,182,118,282,
751,761,880,089,576,848,024,692,776,706,328,397,621,910,911,396,730,572,475,
657,327,086,636,087,349,333,685,952,475,212,679,745,491,172,596,617,303,240,
685,156,319,090,602,335,174,713,959,506,817,273,002,769,266,944,807,866,694,
080,154,368,469,513,205,936,247,439,029,083,298,119,285,705,234,277,791,668,
458,554,902,079,932,971,923,860,597,969,805,511,212,547,502,703,867,023,790,
924,169,377,557,763,711,006,057,032,042,068,503,344,071,329,573,899,126,275,
726,729,443,361,281,950,377,149,784,561,083,162,047,212,197,880,422,434,810,
525,135,605,296,271,088,903,857,249,014,678,920,419,340,908,633,270,945,813,
649,925,042,978,458,442,759,680,185,288,137,720,765,906,137,886,657,559,048,
233,518,833,457,587,487,412,778,165,970,122,878,775,087,323,684,004,894,937,
191,146,521,779,362,188,585,059,248,898,323,527,881,944,536,224,468,670,707,
793,860,053,421,749,532,933,093,581,347,423,628,827,685,766,397,929,636,050,
919,658,207,881,488,694,199,656,892,382,756,093,218,977,910,778,509,664,386,
666,595,977,852,642,891,811,560,454,192,734,975,766,131,189,916,038,690,441,
929,074,318,339,210,560,963,319,923,031,680,571,327,348,568,877,006,142,370,
506,278,176,070,183,491,987,911,456,773,700,925,383,940,316,975,703,557,681,
365,751,087,357,614,001,610,715,182,803,432,589,906,405,317,056,134,627,341,
183,422,592,920,692,720,147,352,318,262,744,828,216,901,899,972,110,073,286,
421,895,368,745,006,235,545,058,700,539,210,432,000,392,305,857,478,553,333,
830,036,713,015,775,390,810,477,632,057,726,199,727,323,746,572,297,193,469,
320,926,277,192,762,895,940,651,300,699,249,368,986,808,769,591,128,951,079,
056,645,521,750,799,012,750,317,672,878,441,700,822,241,954,072,834,836,205,
865,712,261,964,754,513,236,616,246,017,193,432,416,995,820,834,473,645,208,
914,084,751,509,986,414,918,164,589,171,736,942,973,683,539,066,040,411,407,
399,941,187,077,647,043,383,488,871,413,925,372,817,056,693,332,142,615,955,
083,388,404,741,610,159,069,638,829,727,038,724,450,328,225,655,363,627,539,
250,616,835,813,877,811,697,183,048,346,546,673,331,120,758,123,600,715,857,
532,333,454,327,975,321,857,341,502,692,671,229,961,039,774,664,506,146,162,
089,172,313,219,914,623,309,322,788,860,506,563,719,508,034,080,388,065,880,
745,783,359,315,821,097,519,953,321,834,797,677,342,756,251,468,359,225,967,
258,380,063,633,342,571,113,161,432,596,287,093,419,137,320,942,256,544,213,
285,879,853,124,973,205,810,609,467,681,645,213,786,001,440,129,539,252,427,
634,761,160,732,809,836,970,712,614,199,386,761,542,900,663,731,444,308,076,
402,651,483,213,837,121,480,597,875,685,316,180,662,703,679,272,979,701,365,
524,331,109,620,044,580,531,691,509,169,574,305,759,533,672,187,977,039,914,
290,561,861,506,985,621,386,402,699,072,788,604,614,273,995,596,957,075,380,
461,989,205,113,012,784,797,433,910,733,193,164,181,279,769,388,088,616,684,
899,538,877,983,385,124,998,969,986,366,805,059,514,234,632,054,084,758,077,
312,532,627,939,794,481,960,026,177,057,877,030,471,563,263,586,482,178,495,
734,445,744,058,132,709,608,342,036,374,510,629,330,735,654,088,497,467,461,
888,146,005,805,580,971,575,784,903,529,980,959,090,098,801,268,109,589,103,
683,708,787,712,989,728,554,614,198,961,129,258,453,084,592,319,513,080,309,
245,999,045,638,032,169,591,908,983,229,206,506,370,474,957,246,232,086,048,
397,108,891,454,924,180,170,597,740,756,728,695,690,816,071,304,652,240,360,
623,218,146,720,782,273,641,772,310,396,010,747,517,195,704,693,660,306,398,
283,358,473,743,694,385,388,930,550,494,234,155,796,203,528,334,056,134,892,
186,704,048,235,566,106,413,769,289,123,941,674,720,910,935,149,749,931,617,
351,499,077,431,619,472,350,181,690,878,624,202,281,376,106,254,662,099,516,
513,998,503,463,916,910,456,677,996,504,420,984,503,223,586,516,080,399,657,
132,136,935,499,085,609,133,887,948,697,514,103,970,193,878,754,210,722,335,
016,094,127,951,260,236,746,203,070,888,089,940,274,238,538,289,907,376,837,
856,005,006,287,750,114,760,683,119,871,473,412,799,643,963,373,828,069,981,
600,064,591,040,732,300,983,255,149,651,780,355,559,301,515,581,223,485,120,
708,292,992,042,275,726,945,555,029,530,361,086,240,904,377,499,327,026,342,
032,868,844,755,754,371,017,542,284,558,594,914,740,872,313,672,192,593,105,
182,944,001,711,738,633,143,551,449,726,884,236,018,595,180,621,489,566,046,
408,216,713,774,940,701,584,131,734,728,280,191,996,077,486,658,465,721,858,
007,362,604,175,761,632,887,349,644,974,381,179,797,606,832,070,987,809,553,
247,973,845,595,552,105,602,601,866,007,554,481,998,379,158,411,086,498,774,
430,913,564,594,097,019,296,193,070,250,274,998,210,210,509,300,076,264,452,
199,283,592,929,900,262,118,956,718,383,259,662,977,495,226,553,046,191,138,
945,018,228,012,988,342,480,166,441,703,359,363,813,684,168,140,445,912,568,
769,129,204,884,145,354,256,771,451,301,296,374,310,718,227,649,359,214,714,
062,803,133,666,285,764,536,985,269,874,821,552,481,172,693,918,039,290,116,
947,379,174,557,981,168,529,896,906,444,229,337,710,120,584,549,170,229,738,
144,891,393,405,610,417,746,510,710,382,758,446,956,687,910,676,946,214,818,
701,463,642,972,876,098,171,765,180,366,590,960,252,620,061,177,804,104,322,
803,361,798,367,343,727,802,477,651,211,617,672,016,951,640,080,400,093,224,
380,725,774,557,273,788,876,284,002,088,107,638,734,693,249,021,194,025,740,
607,257,725,921,044,476,319,112,007,915,204,633,343,992,251,160,056,946,520,
746,067,725,158,724,597,621,993,535,766,594,906,019,771,847,785,850,426,887,
555,095,822,676,306,973,484,995,816,747,156,859,750,590,634,937,682,679,269,
514,308,955,329,190,791,373,037,366,413,824,931,963,070,383,903,417,692,442,
149,513,110,511,496,935,808,376,399,281,601,250,050,394,884,802,330,798,639,
954,850,391,846,090,547,253,815,720,894,127,789,537,406,789,175,042,240,704,
765,433,205,875,707,653,044,120,723,197,974,480,988,361,643,740,193,239,259,
949,695,266,421,933,885,778,623,359,401,214,290,521,996,945,503,052,606,751,
100,145,251,709,990,671,378,188,165,127,003,211,484,955,892,642,758,216,770,
188,443,005,371,701,553,736,043,225,110,555,794,787,893,261,833,289,711,741,
883,924,403,725,819,750,558,236,578,148,778,089,278,253,067,667,365,729,269,
030,463,096,941,347,171,594,096,859,812,294,933,320,095,522,409,971,787,890,
942,244,722,481,802,561,810,833,662,486,590,566,696,960,655,466,104,727,332,
428,175,959,801,724,760,130,397,445,699,330,517,885,958,595,022,836,387,446,
142,959,653,719,100,318,404,890,887,745,270,851,678,011,091,695,231,934,658,
098,985,384,849,706,686,264,824,327,303,427,574,681,843,999,968,838,238,627,
173,440,846,322,902,609,837,382,238,573,484,427,486,105,849,108,045,664,579,
717,068,541,069,846,215,502,450,273,815,433,166,256,285,724,945,346,811,974,
335,700,587,597,710,151,149,682,484,364,632,070,866,100,146,001,402,959,225,
580,430,056,501,066,596,318,167,400,191,198,692,166,506,616,926,359,845,250,
805,190,627,782,945,255,996,387,645,797,423,901,805,054,027,653,962,463,031,
118,790,952,858,330,123,684,602,932,729,337,770,338,105,612,734,167,703,081,
246,688,487,874,972,389,370,393,361,156,201,428,056,353,120,651,323,629,453,
941,889,728,633,884,429,329,431,036,217,183,501,472,594,124,505,221,527,675,
916,007,523,882,302,239,105,045,609,269,376,202,266,145,421,811,739,788,422,
480,493,160,815,884,395,127,650,963,147,692,401,767,076,609,356,833,539,334,
647,427,883,609,710,079,213,050,635,974,911,698,622,928,965,809,970,416,993,
595,981,122,118,246,779,419,347,649,609,857,179,552,056,176,930,941,148,155,
627,919,246,454,742,624,100,508,230,678,080,154,618,164,878,742,896,476,295,
593,387,755,876,559,574,064,413,235,611,525,223,660,886,626,948,549,584,279,
110,200,403,945,133,959,732,583,758,237,772,983,004,358,844,031,666,831,808,
385,530,551,552,863,805,620,160,023,208,244,954,537,340,398,021,673,310,846,
826,462,631,592,449,100,715,530,998,902,858,849,358,242,575,184,851,444,675,
380,600,079,388,967,420,870,480,365,235,930,963,555,957,889,132,661,512,570,
864,455,182,337,233,515,078,836,619,459,913,516,968,918,560,530,197,889,991,
581,478,138,245,146,208,649,644,656,487,248,156,302,586,161,275,611,618,923,
858,181,594,013,820,340,971,224,308,986,281,877,828,593,982,087,147,441,197,
072,548,862,568,429,334,137,574,719,221,699,086,847,807,158,094,655,777,714,
221,608,069,550,000,347,837,581,340,216,394,636,522,283,659,933,890,296,904,
090,556,353,836,622,894,228,250,955,913,448,441,878,242,874,270,240,358,875,
778,219,807,293,778,252,044,125,138,000,794,257,892,834,194,878,140,171,626,
729,062,272,540,353,761,289,017,480,045,560,569,334,381,256,971,896,769,493,
809,257,265,106,846,716,726,152,760,896,617,826,328,244,219,140,383,247,963,
672,422,123,855,479,518,983,959,341,615,095,886,340,963,518,632,926,886,868,
741,302,754,915,313,858,492,848,068,514,503,483,730,336,231,640,728,086,019,
248,945,110,901,933,410,294,222,220,500,135,485,086,830,812,460,483,519,773,
553,037,494,708,159,712,319,827,916,152,108,294,746,890,561,933,869,633,195,
617,814,943,507,355,410,241,749,725,713,556,640,509,694,634,364,606,352,471,
184,014,599,523,366,524,637,368,233,288,291,484,263,469,097,674,909,554,300,
437,618,712,720,995,747,707,064,815,696,502,029,214,866,271,093,019,172,756,
133,125,155,847,607,915,544,224,028,263,610,063,694,584,731,244,294,654,947,
711,403,989,934,885,132,715,363,589,813,786,990,150,643,199,858,227,242,047,
986,905,847,294,006,212,009,912,757,699,490,603,653,564,743,188,957,590,173,
987,516,416,588,899,881,646,456,933,635,288,661,319,677,156,348,769,544,503,
161,545,772,867,550,203,299,367,542,411,229,148,232,399,048,665,912,839,605,
895,233,643,640,241,745,189,778,584,621,428,233,371,512,104,790,119,174,539,
002,977,585,900,690,417,055,728,595,395,716,439,049,621,542,832,008,809,697,
562,425,674,128,442,411,147,788,267,668,205,832,530,094,315,026,298,969,342,
889,874,226,310,442,601,548,375,453,788,115,074,048,816,347,450,645,922,491,
264,704,583,995,775,242,773,798,798,887,491,116,818,612,596,690,364,071,665,
271,571,692,282,404,770,887,938,618,975,885,876,444,746,735,097,312,561,304,
723,406,937,535,201,318,473,568,824,147,148,746,423,669,180,714,546,399,328,
682,651,171,931,621,470,482,230,750,666,332,587,989,389,644,149,299,878,754,
593,789,583,519,109,003,924,587,841,801,879,000,834,774,722,606,674,635,071,
989,854,850,045,357,328,433,410,427,745,037,703,764,803,411,309,946,092,868,
014,938,020,804,283,956,486,064,440,748,702,482,082,226,884,358,858,333,913,
720,597,660,786,645,598,655,330,120,114,520,235,163,386,577,709,960,257,359,
964,491,596,054,620,254,227,842,629,334,118,668,922,317,451,101,104,057,652,
979,078,949,637,016,186,354,222,426,175,795,697,009,919,506,467,910,392,593,
256,071,088,506,439,327,604,202,795,691,883,540,726,115,226,114,088,889,702,
303,223,819,215,571,946,654,778,755,324,588,565,668,556,890,504,970,570,813,
689,863,549,259,415,633,398,644,400,210,480,625,539,168,843,152,704,093,782,
110,796,425,186,197,504,342,591,163,854,031,820,993,534,357,720,795,395,957,
683,522,941,282,160,391,140,245,669,528,078,440,533,104,649,000,953,623,391,
171,620,460,851,583,608,000,278,131,238,061,933,206,698,568,484,364,162,764,
081,103,734,578,970,614,694,963,634,835,200,359,534,722,323,949,837,488,915,
262,923,751,596,996,643,309,535,026,953,276,369,142,723,313,184,540,768,168,
545,726,458,691,720,240,984,178,681,638,389,630,322,048,240,997,357,375,299,
267,364,316,559,571,413,506,760,896,530,898,873,624,411,223,289,848,826,114,
842,752,669,109,883,728,512,847,811,573,550,608,848,426,246,002,992,349,440,
791,654,283,251,579,691,259,650,024,970,823,648,719,326,381,367,737,355,653,
912,389,777,630,910,328,184,428,721,882,637,792,719,817,431,241,076,925,527,
873,306,384,101,755,216,138,849,632,524,312,221,941,201,852,069,869,932,000,
413,870,608,317,546,330,944,094,910,416,516,163,420,521,113,111,861,155,782,
780,154,264,368,742,197,592,147,709,348,116,262,181,358,508,217,217,845,275,
370,319,837,911,583,688,142,953,227,663,294,326,758,804,925,800,581,529,069,
840,652,482,005,030,920,926,011,862,756,557,287,552,757,169,424,527,636,329,
337,879,364,747,607,318,954,802,074,791,764,171,879,860,138,431,453,813,126,
591,691,132,592,264,174,924,340,147,230,876,659,457,878,500,043,798,083,008,
089,427,389,562,123,538,688,437,300,436,916,678,399,737,062,283,069,246,388,
033,011,264,970,362,189,841,499,389,569,544,077,242,749,876,853,548,700,364,
278,768,451,410,256,129,313,181,329,806,286,529,624,076,920,859,218,994,789,
582,206,358,283,508,007,178,489,447,319,992,369,619,223,003,568,257,484,494,
513,804,898,767,903,997,389,986,506,189,504,971,047,869,164,798,070,420,575,
413,902,150,714,432,053,598,736,391,952,720,890,384,104,465,614,567,637,107,
181,335,219,090,483,815,677,325,781,255,220,620,877,319,159,629,383,558,925,
321,116,313,222,391,164,626,062,695,320,753,828,720,852,829,060,470,389,236,
043,001,952,872,917,409,645,244,797,776,898,804,527,971,251,665,937,462,643,
069,467,575,454,159,203,903,698,120,655,508,285,834,637,851,210,756,081,308,
038,809,994,883,436,256,870,805,257,683,559,518,246,985,236,827,216,459,397,
759,423,610,912,956,210,924,859,492,922,955,681,262,691,139,090,147,024,470,
728,290,043,594,510,451,367,102,328,831,099,256,637,177,980,901,314,745,977,
288,474,889,291,270,423,543,759,174,043,522,279,261,015,254,527,752,551,205,
282,487,581,412,812,992,067,040,472,677,080,840,453,036,886,680,704,162,062,
662,599,307,339,928,220,741,713,734,248,379,388,314,340,092,827,834,203,052,
093,225,390,150,500,838,979,465,310,179,549,208,581,742,883,503,173,453,234,
811,963,906,237,544,427,427,039,590,255,520,584,757,963,354,799,795,139,987,
871,962,424,717,735,683,133,174,740,739,476,920,293,928,079,457,164,293,247,
768,766,505,993,914,459,830,375,788,679,436,496,899,110,340,533,478,745,219,
671,467,023,945,722,016,900,897,475,373,440,180,768,163,314,956,249,081,915,
372,360,645,499,533,372,902,884,508,240,860,620,531,023,401,562,795,766,935,
735,112,325,571,920,233,612,170,931,834,263,991,228,018,342,549,408,336,740,
349,386,518,422,246,046,969,209,639,336,956,192,805,078,794,815,941,905,783,
964,048,059,673,702,191,194,445,199,548,834,538,072,038,351,605,065,218,567,
332,620,176,442,546,980,563,378,883,795,092,367,451,677,140,220,469,537,640,
132,207,651,738,986,175,866,957,499,309,991,424,917,685,182,424,785,952,755,
668,206,140,905,924,852,703,998,929,358,581,531,312,797,906,617,702,283,100,
139,397,232,012,720,047,624,029,286,150,097,141,653,486,455,270,848,991,385,
158,344,550,383,781,003,277,668,327,955,316,896,915,146,189,174,676,934,127,
877,636,202,513,767,472,669,961,423,971,710,147,034,566,122,504,984,358,132,
040,423,224,099,936,237,600,669,447,232,549,529,301,979,315,870,045,496,216,
115,785,320,148,986,457,173,807,502,445,981,145,767,483,096,793,473,668,898,
723,552,435,993,796,415,837,741,266,450,025,894,113,884,965,760,793,292,856,
624,736,543,344,170,041,374,175,137,348,787,528,048,623,897,077,282,679,861,
492,848,185,806,988,173,614,419,837,522,333,917,942,616,628,063,408,135,958,
207,647,694,180,162,301,221,510,042,790,840,158,154,628,893,562,330,937,227,
273,572,629,625,845,711,695,127,720,663,715,228,812,813,820,362,194,102,472,
128,324,875,842,846,435,964,854,122,040,169,464,265,488,995,297,467,104,070,
124,180,923,261,297,863,389,090,404,331,610,887,638,476,346,943,925,892,057,
404,323,358,085,054,675,081,224,986,609,164,090,398,866,481,240,173,150,058,
154,085,445,362,014,434,846,973,407,060,564,976,515,503,721,181,791,057,492,
212,131,279,638,645,621,698,060,045,018,696,227,387,619,096,880,469,724,547,
275,092,779,875,174,944,013,342,996,375,796,820,670,870,041,044,858,725,882,
206,528,639,977,242,977,816,358,146,552,532,616,988,921,300,733,061,406,732,
907,158,051,892,715,741,569,502,720,121,918,554,665,790,691,847,908,981,371,
063,298,026,343,658,882,434,607,989,519,011,515,523,245,296,657,166,807,378,
839,365,398,856,374,845,797,893,206,052,644,639,486,719,198,912,441,315,601,
978,143,931,257,574,307,140,904,219,083,736,456,757,459,634,697,314,227,559,
155,006,337,833,028,163,775,396,517,755,494,949,163,357,076,000,388,184,168,
014,976,080,884,331,119,057,774,257,930,526,663,356,536,594,495,193,806,399,
052,235,043,192,990,643,732,887,415,720,103,135,153,187,712,323,721,081,776,
648,422,007,017,960,889,666,991,756,416,899,259,615,718,409,983,182,205,437,
838,676,766,125,626,262,935,672,916,709,270,227,035,589,418,068,474,819,191,
136,762,207,404,787,863,510,956,840,851,402,324,618,835,233,599,209,600,622,
080,740,837,932,750,582,665,370,653,297,555,370,234,646,950,326,632,740,573,
245,833,631,747,084,086,880,181,625,298,274,285,787,976,221,045,655,823,004,
054,828,717,483,811,139,270,606,593,963,054,990,055,646,171,070,472,006,127,
294,062,650,238,252,942,355,036,164,350,323,877,667,412,395,967,834,906,109,
471,103,985,617,393,673,708,913,719,113,152,467,019,645,755,934,759,774,508,
693,219,105,969,953,387,441,511,933,489,099,449,811,970,088,370,859,989,379,
762,484,717,542,670,427,757,650,691,500,328,287,450,397,156,730,123,309,744,
763,259,628,227,689,527,481,616,294,376,779,524,106,330,176,902,306,608,440,
542,293,758,091,679,493,741,398,398,407,034,702,272,307,049,256,521,213,940,
774,151,926,644,065,952,047,716,380,404,987,732,160,473,495,233,096,399,175,
848,546,771,421,724,430,442,059,453,136,342,265,646,919,553,137,029,731,858,
861,403,102,173,862,176,676,481,190,354,496,460,965,084,699,933,239,894,502,
071,584,022,113,280,060,458,707,174,853,591,225,254,074,279,756,530,579,854,
911,432,860,097,567,549,204,924,090,235,902,826,078,076,726,168,883,046,654,
832,578,366,080,688,295,798,211,271,670,330,079,845,841,217,061,564,158,905,
555,538,791,590,419,128,143,865,947,650,774,215,589,260,683,727,045,166,097,
982,803,731,361,528,391,849,351,456,229,969,225,662,296,699,684,801,496,391,
450,705,174,416,582,186,703,822,871,992,728,756,546,517,868,328,176,441,998,
785,050,613,565,089,281,754,137,940,007,009,219,384,499,091,098,968,561,384,
378,037,367,559,583,928,845,773,435,032,177,554,391,637,188,003,252,968,697,
464,044,945,311,993,771,865,295,392,547,958,760,334,825,310,882,881,541,431,
200,952,856,978,509,237,245,653,607,572,250,127,637,202,288,030,100,278,113,
234,228,628,477,157,857,937,490,585,953,802,264,402,644,853,258,881,484,585,
333,368,036,789,739,064,109,051,560,665,871,003,580,611,757,601,800,169,250,
483,921,024,874,846,610,649,456,478,349,062,203,984,871,557,866,682,818,587,
927,300,223,810,604,305,332,778,463,330,592,674,198,855,449,335,801,677,982,
362,460,661,309,852,160,640,076,624,227,181,465,181,354,903,764,362,399,996,
591,188,851,545,062,776,667,434,084,559,340,257,865,126,585,472,576,289,121,
002,902,538,706,316,583,381,217,200,567,120,475,985,832,089,445,926,461,629,
867,491,730,968,987,859,039,422,906,886,927,970,823,315,483,928,465,770,116,
690,713,609,148,208,769,161,980,867,845,905,640,212,095,681,653,677,066,934,
446,442,613,416,995,636,808,730,863,899,348,146,885,551,728,134,161,112,494,
407,929,577,487,097,923,545,120,700,683,236,798,973,926,650,982,044,322,979,
144,679,861,871,257,456,595,315,824,860,685,580,864,044,216,259,114,237,427,
499,555,813,902,234,619,243,582,226,329,316,793,927,521,914,094,891,665,198,
259,521,852,621,628,031,642,865,401,193,892,730,403,138,227,629,643,083,611,
896,408,050,577,513,515,739,812,571,277,487,940,116,862,403,186,533,269,866,
610,330,039,450,131,682,477,141,722,201,952,679,909,357,429,026,808,401,983,
972,216,534,213,480,422,341,307,564,151,347,763,851,785,252,787,430,789,851,
175,260,614,755,845,374,904,675,580,501,990,294,761,389,677,412,367,093,785,
348,295,077,736,461,083,631,706,464,316,321,073,772,627,074,329,850,633,451,
541,898,007,636,727,236,343,560,146,645,583,026,192,154,433,070,326,027,956,
976,709,784,338,135,821,473,290,416,873,865,305,836,401,717,169,590,587,577,
525,054,125,870,307,870,239,814,689,463,578,211,593,894,254,243,791,803,113,
458,883,179,587,824,776,143,471,190,112,270,046,490,156,645,123,384,320,065,
605,147,749,115,881,778,950,987,689,900,048,173,868,374,745,188,459,785,032,
521,174,506,394,632,989,842,324,853,447,960,236,513,258,386,297,071,006,855,
669,779,085,468,700,814,281,737,528,171,259,348,389,486,991,779,181,847,186,
030,621,983,685,635,204,442,214,303,599,652,759,729,990,426,250,029,349,350,
755,436,437,783,116,041,569,595,741,840,930,280,836,152,376,276,803,921,012,
918,200,210,424,128,572,268,252,790,412,599,853,426,317,833,554,275,379,114,
039,884,026,808,872,230,052,069,611,381,978,732,328,366,178,948,081,447,687,
193,308,871,688,144,011,955,572,907,514,667,786,010,657,610,527,820,891,130,
697,580,021,954,199,339,212,199,142,647,454,667,589,124,062,723,537,591,530,
661,391,062,685,178,715,757,508,384,868,181,020,664,141,663,633,287,117,174,
554,698,170,966,392,315,107,894,143,619,013,910,866,347,736,846,248,544,062,
797,887,316,964,633,080,556,512,805,757,345,777,388,403,797,974,705,491,350,
368,736,728,448,684,193,592,031,112,562,757,213,716,851,664,071,421,295,556,
489,574,890,431,934,956,661,002,500,416,406,990,928,110,618,150,564,339,059,
762,831,539,942,999,474,011,534,766,331,698,209,641,487,630,530,312,255,853,
247,414,193,459,709,123,899,893,543,214,846,668,585,844,821,906,678,818,814,
818,303,035,575,321,877,602,186,595,099,523,805,276,200,266,574,826,819,991,
997,131,486,830,043,488,474,522,463,822,546,112,970,914,755,323,760,615,869,
986,263,456,375,652,673,474,988,185,014,615,322,705,501,139,698,043,409,610,
302,425,664,450,882,712,867,229,624,272,303,182,212,227,819,455,318,494,171,
055,956,096,035,111,100,412,411,962,112,180,861,807,023,510,474,030,472,773,
615,582,967,051,059,155,319,271,843,584,898,688,872,955,152,446,874,874,826,
330,572,051,951,784,395,905,923,830,162,441,711,343,401,555,334,830,304,772,
776,073,471,476,593,072,954,150,952,496,194,188,975,858,711,736,893,871,650,
708,926,423,656,631,042,947,457,563,043,883,160,882,989,545,993,614,879,527,
070,058,290,638,238,182,165,016,912,461,204,044,431,262,013,186,403,440,793,
258,196,474,389,055,004,733,027,122,440,134,194,972,142,289,959,149,968,469,
620,004,017,811,322,498,075,255,314,211,283,071,665,520,927,862,578,735,457,
750,269,452,579,361,588,743,848,464,490,493,491,371,927,070,558,723,418,229,
278,962,057,328,554,774,497,161,370,093,106,815,017,512,927,078,988,626,385,
174,211,183,073,064,962,509,216,318,692,461,126,881,692,407,481,862,090,947,
844,999,898,320,053,962,181,582,552,320,998,344,750,510,384,443,692,222,130,
589,856,616,611,551,053,803,481,934,366,390,066,150,284,170,415,636,278,025,
922,522,711,899,755,285,202,034,483,569,331,388,785,606,307,119,610,403,718,
061,045,734,274,418,534,367,244,516,786,601,515,630,021,455,867,629,139,324,
919,670,039,849,694,127,336,863,712,811,523,526,322,521,018,425,804,969,029,
997,674,533,042,929,783,814,549,988,898,377,228,702,247,410,625,999,279,049,
456,964,479,014,876,303,277,232,119,182,797,850,028,729,555,368,621,341,466,
579,105,196,926,007,289,686,280,446,684,613,085,182,996,050,658,187,646,669,
661,298,780,648,659,131,281,253,553,644,828,208,925,284,160,547,886,629,704,
357,881,893,955,947,671,024,311,894,639,208,595,039,730,411,929,050,801,146,
080,055,237,318,964,947,586,591,358,519,585,853,921,990,496,930,734,810,678,
632,492,992,205,488,220,800,750,086,773,303,855,920,590,798,850,272,169,235,
993,877,768,871,769,917,977,744,471,669,794,094,742,111,377,039,515,058,102,
715,776,960,098,045,514,492,198,965,815,900,142,188,275,109,432,895,006,855,
306,166,196,787,069,974,884,931,885,501,532,372,763,548,623,572,893,397,242,
382,766,894,364,692,766,339,668,495,596,590,829,893,344,647,740,979,110,103,
318,964,139,768,794,075,276,954,523,051,283,293,491,763,572,657,960,180,913,
745,499,751,798,117,752,741,913,807,013,764,478,433,888,786,029,902,166,090,
862,818,409,135,983,079,722,226,378,693,492,133,129,837,072,797,329,503,256,
798,104,536,393,490,383,218,322,558,982,938,565,498,385,116,017,303,075,085,
829,222,084,605,437,299,073,164,666,661,654,913,753,955,831,661,221,747,377,
775,465,286,476,283,525,159,768,474,445,862,110,217,143,106,092,435,049,486,
884,444,975,168,403,946,884,615,247,279,317,011,552,427,773,287,306,031,012,
407,428,904,554,132,803,914,486,907,942,452,941,686,052,491,908,003,463,042,
581,176,426,544,827,167,063,218,824,822,843,214,095,588,472,020,757,468,120,
853,946,169,270,050,150,618,974,261,818,464,290,072,664,686,646,938,251,514,
488,444,200,216,431,084,029,351,694,606,086,032,310,868,944,744,239,578,996,
706,681,503,255,364,684,842,162,544,796,763,703,251,381,634,220,012,135,585,
088,494,616,644,711,133,904,039,046,515,386,192,511,943,119,598,265,379,821,
059,803,999,835,584,403,742,923,867,525,505,614,542,233,205,106,976,406,816,
338,236,206,838,016,652,835,310,215,076,207,032,822,578,179,263,902,326,746,
267,937,801,884,115,316,563,126,835,737,969,455,085,397,343,367,449,528,955,
346,484,976,441,538,595,822,972,480,240,996,076,902,390,153,014,028,224,945,
202,753,340,203,410,227,424,437,330,714,694,272,638,959,553,831,228,379,672,
375,698,455,441,970,582,049,498,788,039,295,888,766,040,829,472,557,440,237,
162,325,977,668,396,999,663,061,001,465,666,603,101,761,109,058,015,593,332,
002,642,685,634,826,345,250,483,806,899,101,631,784,800,082,536,629,474,060,
725,839,639,373,300,351,133,286,858,515,623,330,846,085,732,091,318,454,024,
354,023,941,219,387,325,931,903,492,017,788,149,578,231,947,078,327,445,274,
222,652,406,438,429,865,262,196,824,448,443,684,243,303,258,736,081,532,282,
361,041,372,503,020,408,674,453,821,710,756,188,358,201,608,595,357,299,990,
311,061,312,399,773,826,050,235,001,820,327,671,645,430,672,915,370,729,553,
308,122,824,294,009,387,603,266,685,103,320,475,363,237,360,674,892,966,446,
909,627,382,884,707,238,312,837,463,351,430,741,380,856,777,898,201,555,158,
351,385,592,815,906,900,543,167,682,591,722,720,461,876,629,151,518,220,122,
120,832,462,332,865,156,297,827,413,844,352,391,644,536,965,422,764,346,709,
128,638,124,023,867,823,441,630,753,738,875,521,658,586,270,166,283,718,284,
257,992,153,387,664,923,592,754,966,541,536,930,692,159,785,906,472,381,050,
636,537,092,242,584,699,176,756,262,719,095,323,368,334,735,219,409,181,299,
099,415,141,967,440,263,864,122,879,807,271,106,113,718,304,460,332,790,303,
362,589,543,889,507,782,001,884,064,327,037,688,722,854,773,466,342,428,641,
081,770,774,313,631,499,386,251,358,064,385,981,318,965,999,700,163,114,519,
663,567,999,469,175,812,184,124,206,061,810,063,980,889,272,619,975,511,741,
348,163,362,206,975,987,748,106,648,774,864,383,233,440,894,360,300,661,111,
049,445,348,106,026,995,020,069,265,003,098,972,124,781,594,829,364,400,610,
208,641,861,327,369,145,172,169,030,548,262,860,780,996,748,892,218,522,699,
841,202,981,767,823,467,540,715,871,485,142,318,614,779,901,491,444,920,680,
423,511,859,163,113,568,389,684,030,522,873,194,888,008,911,587,975,259,327,
389,084,390,007,344,555,929,571,130,956,920,678,813,872,547,824,933,759,055,
570,150,390,724,078,842,672,093,981,726,604,157,178,218,075,625,638,990,086,
822,307,763,064,387,705,987,865,274,995,340,176,287,937,085,179,078,376,664,
803,631,441,137,182,664,114,556,753,759,913,341,620,872,499,143,777,345,068,
043,731,326,268,911,027,086,416,939,459,558,203,891,477,505,379,686,748,249,
364,536,696,116,249,884,415,220,201,655,003,596,819,988,464,561,063,843,521,
380,483,500,435,792,233,034,036,587,251,799,225,464,541,853,951,143,250,597,
111,413,684,262,127,624,992,540,029,525,786,465,406,673,541,628,578,757,461,
514,164,173,996,345,730,471,034,474,541,768,927,396,992,594,616,604,954,376,
386,123,571,014,545,564,499,621,176,937,710,880,330,131,878,853,359,320,763,
503,140,439,293,928,847,411,011,188,820,284,918,765,298,430,910,648,693,057,
009,768,040,800,558,747,079,993,836,740,681,966,887,406,863,775,988,842,502,
996,527,978,350,459,847,932,330,843,780,304,119,962,925,269,408,871,076,436,
069,096,193,647,889,341,145,259,527,672,053,292,704,126,411,271,682,779,156,
137,475,973,579,468,169,283,075,540,963,373,348,339,799,591,442,255,412,672,
955,822,363,940,871,164,264,911,322,909,225,179,483,460,628,907,333,936,601,
443,968,299,893,362,146,996,941,861,508,847,515,661,992,471,510,399,008,813,
640,445,390,521,642,166,337,654,242,753,242,035,446,893,652,493,854,915,505,
633,770,805,559,118,775,640,243,579,519,694,033,476,396,186,530,082,608,900,
887,934,864,094,866,648,864,662,372,493,338,204,648,011,495,199,529,487,938,
709,705,273,352,725,519,291,910,621,829,958,957,699,303,514,785,501,673,344,
892,706,903,590,525,735,968,023,089,234,306,832,411,373,696,342,360,326,909,
020,952,810,051,882,294,984,401,208,985,754,999,635,393,301,720,252,484,430,
277,553,646,307,064,168,718,906,250,823,470,483,792,602,309,348,823,500,336,
591,050,309,055,679,419,299,988,015,011,420,618,716,704,082,715,021,921,310,
301,043,135,057,659,305,088,747,386,226,067,479,523,721,138,463,946,926,767,
606,099,466,118,291,771,386,565,122,773,306,677,107,300,672,034,730,054,100,
236,392,433,308,653,185,930,757,468,136,402,985,831,427,562,902,842,964,381,
716,027,017,826,048,968,497,369,757,766,903,864,087,025,214,589,435,772,596,
891,957,065,651,845,970,720,618,755,913,037,500,678,080,997,263,891,119,698,
385,449,878,539,597,922,126,265,391,779,496,401,471,788,120,350,163,543,477,
770,015,690,636,286,258,490,506,148,489,426,547,258,681,156,116,547,921,341,
593,995,744,629,780,672,071,496,600,918,188,272,996,676,926,718,844,830,826,
993,551,315,392,517,347,633,010,171,754,253,728,596,668,863,025,520,220,175,
679,536,549,345,559,189,852,175,088,046,758,313,702,567,092,727,282,313,607,
815,782,671,849,494,529,365,794,472,149,562,611,762,582,964,800,829,370,488,
735,890,471,284,400,246,619,154,948,208,340,076,184,717,892,904,768,024,332,
129,096,543,234,101,826,449,820,886,793,697,622,892,181,208,542,661,598,748,
048,683,643,535,200,350,263,326,799,007,632,234,528,398,447,466,500,025,301,
557,420,943,602,873,024,182,844,380,689,989,634,622,886,338,348,827,930,908,
596,106,628,542,413,738,709,662,514,900,511,403,932,640,959,227,911,536,834,
610,068,194,071,143,800,715,663,052,710,408,150,261,247,996,073,886,629,805,
301,978,023,240,030,985,895,383,314,718,868,097,663,750,979,972,769,591,968,
406,469,557,388,596,408,301,613,417,116,429,084,692,307,968,067,331,340,289,
179,747,733,087,507,341,171,272,148,354,037,345,111,134,781,235,700,903,634,
125,820,845,537,766,518,178,860,278,750,604,438,617,097,628,879,090,840,184,
191,184,195,015,635,675,324,697,523,560,676,639,582,644,048,354,042,793,794,
852,340,773,004,815,897,496,862,011,551,369,500,301,066,937,818,352,645,152,
775,953,073,233,875,770,044,075,041,197,473,576,576,595,933,750,162,181,951,
264,087,035,018,444,654,098,089,214,336,538,143,663,626,287,912,633,835,294,
882,142,499,919,717,834,993,743,316,279,809,864,960,914,808,070,803,056,883,
319,951,357,374,578,196,100,002,725,096,843,806,811,352,600,296,109,270,348,
004,487,268,224,164,120,741,221,113,040,999,314,871,986,736,601,659,810,153,
664,556,829,462,533,170,865,637,478,991,287,780,477,810,698,407,801,127,330,
483,910,561,010,045,743,516,686,826,312,450,843,387,421,234,204,154,506,641,
464,644,276,446,264,231,010,749,501,005,773,069,077,300,793,500,922,698,138,
777,601,259,987,849,107,656,582,285,587,531,957,515,118,258,059,788,164,094,
073,715,539,024,086,818,439,220,025,816,338,114,979,729,924,233,287,312,598,
836,665,649,154,325,885,112,715,189,948,432,804,698,115,533,900,044,200,260,
982,740,901,349,775,399,898,388,604,622,136,355,606,993,443,135,704,062,162,
405,808,000,595,709,894,939,136,685,007,834,224,057,056,935,703,692,529,016,
278,773,905,299,452,183,126,861,404,772,841,214,094,327,983,258,912,188,007,
252,834,502,622,766,655,839,266,644,486,725,459,192,158,537,824,554,086,148,
341,452,604,398,381,530,789,017,078,463,864,779,935,982,210,382,215,043,738,
095,562,125,452,396,076,037,143,817,237,770,916,201,742,458,224,355,903,365,
234,897,928,872,757,149,546,256,996,237,311,688,592,983,001,825,053,207,150,
951,948,036,465,790,561,651,825,464,412,349,742,335,235,073,189,312,026,615,
039,510,432,546,503,291,920,699,006,142,049,000,178,013,252,832,668,596,160,
916,873,632,602,569,315,179,756,670,827,882,404,754,505,333,276,884,827,182,
268,428,501,183,007,443,799,848,717,760,081,997,175,832,404,527,030,460,408,
071,181,990,281,816,279,312,216,655,428,598,914,767,709,455,285,817,701,256,
909,229,678,814,894,495,859,166,987,100,401,398,031,801,153,697,808,257,366,
826,232,211,127,917,274,905,695,064,169,218,133,419,555,094,781,236,195,956,
639,354,096,729,029,201,163,878,364,593,417,159,150,530,752,111,698,120,366,
299,124,785,736,349,463,465,731,950,556,456,366,567,293,375,087,180,669,315,
565,010,954,538,830,464,589,151,016,603,557,406,198,993,539,123,154,841,162,
931,460,105,879,592,814,613,887,054,689,173,814,221,082,014,825,592,204,625,
938,316,822,156,433,950,340,531,092,412,377,316,930,964,591,310,965,397,303,
427,817,255,903,987,314,859,386,485,057,132,011,508,193,671,747,619,318,845,
155,137,803,811,275,434,949,004,772,977,969,405,983,041,197,383,798,949,437,
119,939,167,289,877,959,408,331,533,992,615,514,385,574,281,949,263,713,686,
518,987,206,346,105,082,817,095,824,946,115,676,632,177,853,089,932,250,660,
588,925,335,503,838,577,631,669,038,932,453,935,069,063,434,700,310,342,460,
979,663,452,483,475,426,831,607,524,168,207,590,740,090,638,978,412,306,951,
959,453,174,358,995,842,521,811,014,846,874,816,950,296,861,568,939,191,320,
037,687,187,250,458,710,884,460,205,755,133,582,582,084,708,311,449,099,660,
000,767,450,875,024,982,610,332,932,363,118,628,673,155,235,521,862,409,965,
453,956,923,622,564,912,051,758,829,914,294,442,846,295,184,771,956,001,071,
665,387,316,390,532,972,142,789,693,034,824,360,378,528,439,161,626,687,547,
115,441,095,096,548,180,025,989,615,544,954,009,042,129,848,615,938,377,702,
950,963,513,926,599,033,570,233,023,672,236,487,100,333,474,990,288,426,998,
277,011,392,611,716,983,954,601,891,981,142,847,444,769,648,504,776,012,385,
893,329,150,392,526,885,131,122,549,183,967,596,192,373,439,823,378,759,427,
200,779,084,377,929,002,586,348,235,511,664,020,656,393,873,454,567,888,764,
545,733,063,431,203,267,345,594,178,616,915,612,913,450,994,303,978,925,264,
739,590,833,031,139,846,007,708,017,060,475,648,047,361,822,685,093,504,767,
368,807,293,046,686,986,586,130,865,371,073,649,738,421,268,884,668,934,559,
187,242,157,760,047,804,390,184,223,775,794,123,022,482,792,728,881,079,194,
508,325,823,779,915,475,549,591,688,725,880,517,990,899,562,010,149,069,906,
901,643,560,145,196,691,708,480,844,759,624,746,845,258,221,132,365,971,877,
043,657,989,575,458,552,320,233,657,502,321,283,004,528,150,063,613,334,322,
210,661,442,742,054,010,775,894,198,233,834,551,610,644,305,027,744,722,722,
822,188,222,539,643,919,029,619,828,579,216,518,665,201,629,436,869,079,375,
151,619,470,123,505,883,690,518,200,373,731,974,400,355,424,408,829,814,218,
515,376,818,734,856,436,708,254,938,639,925,149,570,971,174,508,805,456,381,
781,830,734,160,108,424,891,875,889,487,464,665,983,575,737,987,010,666,079,
954,337,476,111,972,743,884,300,136,253,764,185,765,303,889,274,009,699,211,
216,330,219,192,522,849,940,046,681,192,692,504,468,027,383,417,805,002,667,
242,479,815,745,559,555,007,382,906,264,603,159,768,839,508,987,866,052,932,
400,622,536,128,749,764,785,764,371,387,329,483,580,223,580,522,217,722,790,
328,389,245,182,246,987,444,297,024,984,377,931,340,875,837,726,165,784,493,
198,194,632,836,386,556,617,430,350,427,510,554,347,585,638,095,550,626,357,
777,498,645,709,672,876,505,513,074,169,602,541,722,302,032,856,295,358,508,
165,293,033,043,044,368,420,433,857,951,243,603,905,524,544,567,771,804,066,
466,314,838,052,171,038,439,246,987,487,329,553,775,930,056,909,510,743,647,
674,621,227,002,607,021,521,100,377,829,532,525,846,100,283,892,324,086,303,
147,632,979,567,522,361,570,414,728,086,187,812,306,406,958,681,817,989,334,
649,871,762,304,524,716,666,259,310,254,188,629,815,691,851,566,622,064,668,
723,860,295,531,931,997,403,113,219,451,444,858,121,250,086,843,930,065,353,
962,423,289,572,575,778,882,117,269,572,679,176,452,637,268,113,715,593,221,
798,542,106,801,997,220,115,828,755,315,659,158,782,530,083,742,257,433,010,
580,858,818,862,363,946,323,588,443,458,120,661,132,041,535,867,582,105,414,
676,825,306,974,089,715,014,699,583,527,089,947,609,447,760,465,664,319,375,
261,510,796,707,556,633,582,106,369,883,566,105,804,424,698,222,008,879,184,
142,030,279,798,027,324,737,900,807,949,751,093,838,132,958,742,048,021,571,
688,444,979,685,215,678,136,806,261,514,481,059,962,420,730,465,022,797,000,
506,455,127,513,160,913,858,221,067,950,253,079,037,558,132,670,955,433,542,
706,206,943,080,344,565,192,491,697,550,973,738,731,350,678,273,299,785,297,
051,441,865,183,556,560,799,577,516,858,776,364,132,834,479,054,638,616,767,
335,709,726,372,018,196,706,667,723,887,367,853,508,156,194,626,333,740,856,
585,103,079,486,677,772,456,249,303,862,626,973,967,187,691,176,725,427,085,
228,496,548,512,156,736,402,069,921,300,085,276,644,117,156,223,179,820,724,
481,509,518,652,643,734,678,905,286,189,177,845,868,490,417,907,637,104,747,
799,402,526,564,150,712,122,965,411,623,862,320,493,615,696,909,947,592,997,
621,366,962,773,722,499,723,063,955,808,291,515,668,744,801,091,587,406,333,
293,159,781,839,904,867,383,187,967,218,522,614,193,217,135,705,729,839,059,
056,925,345,763,575,635,058,526,667,972,950,584,374,279,933,832,851,751,698,
255,501,630,831,819,898,862,951,357,890,304,670,806,561,180,514,706,172,038,
835,977,634,335,875,521,094,728,805,451,161,377,384,108,259,981,575,271,782,
477,825,877,116,119,831,343,629,793,520,168,340,366,627,205,288,238,760,663,
605,837,507,306,478,704,911,538,069,614,436,076,225,833,161,688,306,168,701,
159,288,261,288,611,953,538,124,342,711,072,424,316,023,202,278,341,730,531,
748,570,379,934,233,316,851,944,774,357,258,297,166,321,473,468,965,785,369,
383,887,353,032,306,707,010,488,010,785,162,934,824,087,982,254,962,624,083,
631,488,771,073,690,487,759,280,263,319,350,043,482,878,533,151,654,258,009,
318,307,370,405,796,991,616,849,967,662,929,836,389,192,349,468,984,860,820,
187,213,862,813,329,110,126,309,135,609,424,646,145,986,079,701,857,404,356,
568,302,663,345,419,999,908,426,468,226,708,534,032,483,854,338,637,963,942,
024,223,002,155,815,638,426,050,985,357,173,347,091,822,090,075,888,186,995,
795,451,805,096,110,316,663,254,266,574,159,375,736,194,120,012,545,784,902,
027,426,322,320,750,977,856,710,523,613,523,428,837,186,862,785,875,657,542,
949,205,129,921,855,379,052,638,036,531,614,415,039,932,218,348,132,156,079,
664,113,660,631,703,978,982,705,304,289,252,085,007,743,612,598,946,830,000,
440,722,892,574,402,097,101,758,833,243,378,232,929,818,900,564,928,415,872,
536,859,768,409,196,052,258,167,524,679,719,732,850,134,079,197,292,482,193,
395,805,178,367,533,947,267,537,826,245,121,774,258,984,853,341,589,884,125,
271,188,737,582,715,543,779,780,993,102,032,546,241,463,711,346,869,100,507,
909,792,958,673,319,949,073,743,723,286,834,404,832,169,360,123,159,841,231,
652,065,591,612,972,294,192,531,742,022,800,366,043,304,824,789,720,899,201,
286,532,203,420,298,083,418,106,475,084,087,212,687,167,012,237,777,306,253,
194,516,251,585,564,978,768,642,732,093,776,394,838,314,210,101,281,555,491,
647,200,919,766,866,602,264,753,092,622,972,844,119,612,513,673,381,326,627,
155,374,864,189,595,758,584,731,775,234,730,345,584,921,091,462,776,454,341,
937,316,203,751,996,984,822,692,410,474,791,166,033,989,188,865,529,590,306,
647,902,881,573,072,005,963,518,502,797,846,947,734,780,801,750,473,411,344,
322,461,032,409,601,512,176,913,865,101,277,785,622,619,236,242,498,025,027,
552,927,681,743,375,921,019,862,770,309,683,074,845,334,717,389,857,233,879,
621,926,251,512,326,692,481,113,454,692,576,450,806,843,572,187,070,574,256,
978,816,094,719,960,818,051,912,379,672,077,543,319,604,243,881,991,893,860,
414,203,292,799,146,360,998,470,193,818,228,681,832,121,035,077,461,766,562,
695,340,309,032,567,514,240,523,920,832,700,319,546,992,582,274,758,426,064,
106,553,485,844,259,392,254,617,187,144,549,417,167,423,929,992,695,720,210,
334,325,370,364,377,899,274,406,699,930,804,332,807,663,817,519,641,326,081,
367,048,524,910,746,289,171,956,087,385,170,694,811,993,549,846,858,839,388,
875,598,572,726,449,555,320,338,635,052,550,128,931,391,105,222,440,514,516,
986,498,704,291,564,323,446,483,133,081,786,121,664,647,489,796,376,189,714,
378,973,824,382,830,094,788,114,749,726,806,161,866,053,466,838,641,479,705,
071,034,401,406,335,500,902,851,202,685,770,703,536,102,485,656,590,344,186,
055,301,254,853,487,377,006,292,594,963,723,179,420,392,261,887,897,065,698,
338,435,798,045,520,836,269,245,552,456,577,500,124,001,479,239,086,966,293,
662,183,548,198,617,034,572,471,470,059,418,175,627,233,536,484,520,188,934,
789,358,359,502,702,906,280,606,019,181,764,394,086,423,134,789,792,396,280,
828,728,327,586,755,526,017,362,513,367,422,492,650,071,847,222,334,295,513,
859,542,443,062,380,668,701,514,739,376,085,456,242,346,766,279,021,891,293,
061,937,486,133,641,080,704,726,908,257,683,446,470,355,149,965,546,101,538,
009,613,046,814,906,669,290,537,398,500,909,883,342,933,679,950,636,542,997,
793,303,292,581,912,911,852,862,341,150,124,992,016,479,427,947,135,806,454,
013,913,236,446,391,572,241,542,510,932,471,173,610,466,372,208,271,410,082,
157,815,773,775,882,573,635,738,506,896,357,790,743,186,268,499,975,836,018,
967,871,826,825,021,450,907,067,781,035,567,319,354,713,586,868,848,292,714,
842,226,705,395,446,476,149,817,272,753,134,045,215,528,003,940,153,560,616,
209,670,914,630,131,971,729,603,347,474,515,595,845,406,275,922,825,616,893,
304,772,827,577,130,259,730,280,892,465,221,744,562,211,067,501,141,729,919,
764,985,568,586,076,043,854,726,598,281,473,591,622,015,014,756,483,169,380,
967,552,351,509,852,044,694,507,473,630,951,622,953,006,965,674,918,326,354,
820,881,637,573,627,930,936,424,155,545,419,238,112,191,033,305,741,347,498,
805,332,329,460,541,865,230,793,107,714,549,456,804,650,728,569,562,686,801,
579,875,282,674,487,973,103,857,383,842,633,500,150,426,735,377,924,250,849,
563,616,328,652,700,467,232,939,351,520,946,342,073,397,714,255,353,510,719,
060,421,711,192,916,223,276,682,835,888,942,992,455,369,703,569,297,116,109,
102,435,305,766,281,760,918,300,152,626,667,849,696,120,508,629,013,037,302,
294,297,506,336,999,138,238,059,827,451,586,325,497,006,500,675,939,783,591,
120,823,479,769,525,688,759,204,377,017,285,335,759,343,323,352,661,128,956,
355,344,242,822,437,435,347,994,856,968,170,088,224,583,125,720,022,186,521,
342,258,269,938,635,441,550,669,524,894,933,157,822,617,560,540,986,243,502,
797,667,801,925,807,557,260,097,375,427,845,165,554,846,311,999,562,419,513,
606,676,753,341,208,350,747,038,949,752,392,361,897,416,611,397,326,682,534,
284,007,972,080,075,959,030,811,615,538,341,330,231,787,385,517,597,744,156,
333,053,148,821,979,901,956,636,535,880,744,263,715,018,450,088,540,982,168,
065,497,020,377,686,092,736,104,345,279,006,666,773,090,959,266,346,724,115,
991,070,405,858,436,825,584,041,030,198,262,890,429,168,217,082,532,944,224,
731,166,604,317,838,479,341,658,594,566,576,143,824,674,344,526,991,193,998,
141,323,758,843,526,391,861,595,363,171,635,296,254,236,495,554,540,683,250,
720,199,038,321,316,434,233,892,302,501,881,470,686,403,031,219,357,547,415,
706,189,340,369,782,167,276,656,665,688,353,455,687,070,051,605,708,949,405,
679,377,448,671,496,859,755,887,834,835,404,283,399,894,467,024,121,753,712,
183,149,473,120,621,501,534,834,272,669,312,142,423,683,272,416,399,891,477,
960,750,241,061,759,771,484,359,445,225,646,990,133,221,797,616,443,202,689,
753,153,934,664,630,840,308,494,217,462,038,623,668,818,993,316,957,685,303,
104,208,317,698,235,902,300,765,317,498,219,160,725,002,309,556,140,932,548,
794,211,904,478,687,328,247,348,841,369,930,219,413,580,947,522,553,246,743,
437,471,261,625,556,780,570,273,395,977,042,692,958,154,504,365,563,275,949,
710,924,398,754,942,109,095,230,669,033,522,714,856,823,292,020,309,276,271,
817,666,216,582,279,995,972,776,944,189,869,954,999,289,561,957,343,075,478,
256,367,353,099,403,783,426,770,234,224,706,352,512,943,044,890,972,512,652,
131,277,142,877,942,671,296,132,009,686,199,930,721,776,183,761,403,907,873,
442,625,526,595,463,906,328,841,376,814,106,595,801,240,192,911,832,757,731,
185,455,462,734,350,830,933,232,746,320,475,236,710,351,417,017,506,838,760,
749,513,927,107,077,021,494,782,194,425,545,387,732,564,369,152,597,025,283,
569,125,112,904,705,803,378,872,189,348,240,429,114,472,649,056,769,613,953,
804,013,460,597,069,398,408,108,298,634,930,188,879,342,184,462,328,976,213,
835,904,580,321,868,247,211,733,503,782,127,135,055,045,574,644,302,623,436,
325,900,604,870,995,598,292,759,519,643,243,990,043,367,705,495,661,231,145,
186,062,777,092,858,474,174,236,186,533,390,922,956,883,186,662,850,339,321,
803,179,273,227,571,124,712,257,906,327,305,601,630,890,936,653,924,385,647,
243,745,262,059,604,372,062,239,380,241,906,675,055,276,492,155,232,334,497,
957,838,483,969,116,488,391,859,090,674,962,938,873,165,139,667,958,997,942,
356,479,596,683,639,985,433,341,380,233,484,991,316,867,076,099,414,863,707,
149,210,562,883,265,192,127,877,013,248,495,795,536,852,861,775,185,685,329,
172,427,649,854,511,937,562,871,509,577,736,807,452,632,209,127,440,488,042,
180,025,869,995,650,016,683,389,075,787,838,340,162,794,529,003,990,621,218,
745,254,716,735,099,076,424,689,910,122,293,806,175,541,832,543,910,037,349,
804,277,591,899,658,584,605,395,325,082,903,586,378,124,281,394,630,693,461,
518,520,323,621,488,758,132,896,892,202,031,672,829,557,410,069,339,204,994,
210,807,418,285,045,819,227,738,227,594,456,056,770,255,429,916,236,083,950,
325,862,221,389,746,400,906,241,448,167,350,881,112,725,614,933,490,622,050,
358,479,551,196,418,374,420,116,986,882,391,426,080,500,871,773,025,856,456,
666,935,797,469,210,973,752,292,439,391,829,016,625,202,273,798,675,524,736,
864,440,950,211,942,136,478,556,671,951,652,885,590,868,011,204,986,784,927,
192,808,082,370,349,123,360,695,023,718,370,397,514,032,838,246,932,712,580,
829,382,703,543,888,213,087,192,864,523,084,112,233,726,157,894,309,877,934,
881,805,354,477,152,123,092,319,201,132,320,413,952,123,520,642,332,233,561,
356,466,878,670,685,420,263,586,260,483,681,204,993,727,745,505,303,495,756,
307,988,071,591,183,057,891,984,252,651,579,335,737,868,865,718,899,470,430,
189,479,226,717,892,341,917,980,231,747,507,779,082,658,959,822,138,099,076,
293,753,660,769,013,886,965,978,384,718,017,666,817,288,832,690,900,418,925,
155,596,681,918,301,667,662,561,565,570,699,948,763,250,180,941,130,919,203,
598,453,600,968,286,408,738,462,539,529,507,595,723,593,458,722,538,994,914,
006,952,074,386,279,723,495,364,958,962,484,188,784,943,040,620,219,460,876,
037,244,277,236,239,486,239,351,400,702,117,679,126,521,029,586,057,780,084,
833,471,273,609,916,593,379,237,784,542,387,310,691,703,252,184,769,091,331,
139,780,362,172,541,577,094,583,935,093,495,413,285,746,802,093,458,728,953,
536,365,247,081,093,643,704,508,656,208,930,662,974,826,234,782,097,865,042,
534,089,446,884,515,104,780,863,296,908,685,754,822,669,278,271,357,188,922,
631,416,748,546,068,696,592,105,211,944,818,251,587,071,468,686,411,195,581,
412,159,113,152,224,524,469,346,003,098,772,920,080,867,170,986,223,115,576,
693,572,380,382,505,353,089,168,336,596,719,316,707,151,107,046,686,498,606,
775,068,427,670,475,651,243,345,964,783,427,050,397,071,455,242,390,605,120,
252,971,907,628,146,483,423,886,832,936,760,512,984,867,990,744,649,459,709,
978,157,028,677,783,825,087,551,517,840,673,755,588,700,319,230,947,734,104,
750,472,734,508,193,388,745,547,675,222,419,281,039,083,820,674,227,418,860,
895,842,915,714,998,284,846,982,503,755,396,040,391,273,143,774,047,431,534,
530,313,334,592,630,656,577,848,148,201,148,855,988,332,712,735,599,971,899,
455,391,581,877,491,967,760,348,051,891,772,882,347,067,160,093,098,788,546,
647,613,739,759,153,956,226,976,556,403,528,184,107,005,539,774,839,579,704,
945,194,922,829,776,971,621,589,434,923,819,488,597,521,418,617,152,580,775,
016,725,076,160,375,775,834,039,853,622,523,993,865,766,226,212,639,649,534,
714,590,279,487,877,188,094,630,595,953,963,240,428,274,724,221,832,079,111,
943,457,540,412,340,132,220,322,348,981,510,706,113,367,517,929,624,699,662,
121,524,993,634,353,979,042,860,326,468,153,668,294,875,130,905,174,458,306,
950,806,307,463,080,441,018,934,464,638,811,229,820,702,930,773,774,230,892,
575,477,956,953,862,607,124,093,724,177,398,555,586,802,918,279,085,011,207,
587,296,334,473,242,329,746,140,831,475,653,227,626,609,032,006,631,576,678,
844,904,803,058,318,682,513,400,011,610,129,988,388,957,841,766,569,276,424,
154,057,318,410,622,036,735,085,966,843,106,455,304,805,749,234,424,840,578,
346,410,872,830,511,195,772,981,595,958,709,481,495,772,907,346,353,412,929,
362,191,809,421,371,708,628,491,966,412,972,011,612,664,891,257,362,940,426,
985,703,450,322,672,502,554,835,597,493,021,445,356,316,709,596,701,688,783,
395,575,110,474,277,979,303,762,611,952,022,292,858,437,487,840,247,283,363,
898,781,266,295,123,586,827,062,721,479,580,881,108,555,142,589,578,378,664,
835,076,969,952,017,498,535,721,988,492,886,741,807,370,225,067,731,127,190,
049,260,838,970,764,231,512,670,445,154,205,527,691,168,705,461,684,367,729,
947,761,185,511,763,446,329,028,303,435,031,116,046,670,797,678,411,545,657,
701,854,356,168,937,293,011,397,333,472,395,313,549,503,424,033,122,597,885,
183,983,242,318,260,438,353,246,514,915,350,925,835,129,905,736,169,921,311,
103,575,739,118,246,120,440,619,795,090,439,860,864,554,555,966,719,220,396,
838,283,218,500,490,825,515,663,476,892,997,549,421,670,160,755,758,023,082,
129,446,602,084,296,233,740,386,306,503,967,292,820,767,866,987,639,398,912,
341,049,035,815,249,362,153,710,746,434,549,867,583,721,909,503,649,559,376,
240,135,422,407,925,323,978,415,831,293,195,769,103,661,397,230,768,819,810,
309,893,308,332,804,774,346,717,486,936,831,522,797,016,750,243,603,215,424,
064,195,354,573,695,564,975,271,869,079,802,498,025,335,250,061,838,721,056,
758,375,743,933,791,973,087,853,308,557,060,123,617,262,306,584,056,663,148,
572,896,295,154,116,228,137,347,915,422,135,869,722,278,174,441,615,342,162,
383,831,028,138,547,983,956,093,167,832,051,691,182,708,900,069,457,415,827,
426,421,128,933,803,752,822,722,786,083,813,871,807,242,327,429,308,708,331,
361,006,126,015,565,886,594,154,380,051,242,025,926,489,035,780,848,181,484,
005,948,762,876,117,127,108,066,563,330,111,772,836,502,090,542,360,305,025,
408,789,128,290,858,216,050,505,201,775,914,583,196,786,277,301,499,845,556,
050,025,026,887,556,522,674,592,914,740,631,978,058,592,970,154,772,859,944,
091,236,711,731,355,866,475,559,275,782,718,273,828,179,617,441,615,553,902,
756,445,186,859,565,982,840,111,328,948,185,397,004,598,563,049,159,187,068,
567,090,339,983,703,947,447,343,143,409,682,744,693,830,254,538,546,717,171,
705,629,640,064,034,454,746,323,462,646,104,852,737,119,856,793,087,358,275,
988,251,810,289,524,040,176,320,816,678,885,169,910,671,729,950,051,186,392,
582,435,506,492,839,426,355,637,164,185,373,488,442,127,265,605,446,890,424,
560,781,573,649,430,469,991,282,175,027,548,481,375,507,137,656,805,514,195,
519,040,789,411,000,353,233,255,322,135,783,321,518,917,253,593,179,299,177,
095,509,872,169,756,864,664,283,952,968,459,609,596,613,850,217,478,441,873,
034,000,931,692,042,599,849,773,967,275,983,977,740,282,834,253,429,048,704,
652,154,963,393,913,667,196,168,430,844,494,971,060,256,972,109,124,886,902,
124,426,267,307,678,885,748,150,564,094,870,334,098,559,090,914,859,633,024,
062,535,702,016,606,730,093,873,243,317,159,536,566,842,096,097,933,056,978,
140,755,354,064,249,305,818,548,745,322,276,854,097,318,866,017,187,478,779,
445,538,129,007,545,550,149,452,612,772,650,819,174,576,316,842,715,980,227,
641,849,362,603,532,639,659,832,097,823,689,237,052,635,880,257,893,039,301,
442,799,098,496,856,509,920,182,491,717,491,192,189,341,644,411,926,735,400,
907,544,496,319,785,204,381,842,822,846,004,512,561,821,484,786,901,806,053,
843,780,377,130,169,050,822,932,240,928,154,593,726,970,211,341,193,039,716,
831,228,840,482,526,855,696,945,588,285,732,957,784,256,183,436,223,797,271,
276,536,754,642,798,769,228,994,596,082,157,356,761,147,040,996,008,616,005,
542,409,776,423,924,931,636,001,750,201,079,414,504,644,627,190,701,785,650,
700,910,106,484,054,306,870,600,012,040,506,236,542,582,276,840,478,397,068,
684,256,903,486,634,810,895,652,790,284,328,018,661,992,505,843,402,629,456,
207,263,916,722,125,546,705,399,286,016,443,804,958,104,027,938,673,034,041,
683,325,097,207,716,155,674,284,585,730,061,649,600,790,296,411,294,527,345,
028,647,953,346,644,820,256,339,056,776,076,934,095,872,966,802,015,773,640,
897,347,104,810,114,188,979,842,301,873,866,618,804,883,132,080,879,029,076,
093,744,621,183,441,668,876,450,563,546,761,959,680,979,745,440,661,234,054,
772,007,330,420,271,827,612,897,555,353,706,168,527,538,772,616,329,082,656,
559,984,232,874,009,326,785,150,558,323,592,738,737,163,056,473,297,674,886,
931,026,959,402,567,153,059,408,213,734,143,862,357,375,620,291,359,780,594,
255,608,014,831,090,932,601,967,568,762,903,524,062,615,247,563,825,635,088,
122,339,133,251,532,611,256,279,799,984,398,466,872,153,966,537,913,459,565,
342,116,684,165,810,707,547,161,732,481,274,305,605,543,874,982,192,773,501,
728,909,465,068,472,587,952,796,765,909,437,125,522,066,485,245,098,209,337,
870,569,332,009,162,281,222,948,430,867,367,337,814,777,439,354,384,813,324,
129,526,291,572,937,564,481,775,066,326,742,783,817,515,541,762,364,158,604,
652,813,313,860,369,680,591,803,981,176,794,072,297,726,247,253,042,232,068,
973,421,146,996,507,117,351,639,176,779,652,059,356,708,916,461,375,184,292,
643,297,776,690,816,234,067,813,607,775,938,248,667,489,419,429,917,544,451,
265,339,232,397,858,380,461,024,824,545,227,243,324,157,776,537,126,599,589,
255,914,576,603,489,869,471,591,472,526,374,880,606,752,728,087,433,293,102,
660,936,549,289,904,837,138,562,678,122,004,428,285,650,303,010,570,189,907,
406,316,365,446,675,671,329,084,811,889,479,157,022,854,132,465,547,322,643,
105,497,539,209,742,643,667,702,685,176,511,349,529,879,717,128,566,338,285,
214,223,691,637,133,932,692,803,875,065,987,821,899,601,335,837,093,642,298,
788,992,728,508,832,169,750,233,971,166,545,058,214,495,945,844,414,018,573,
830,010,678,188,355,764,909,161,598,841,452,405,911,082,358,118,164,718,104,
821,314,795,273,508,593,274,713,841,653,988,559,919,047,836,560,183,468,808,
309,933,554,008,133,960,897,368,481,048,374,040,957,641,932,633,476,435,548,
892,797,224,206,882,292,347,004,101,395,049,229,183,473,623,296,689,607,078,
829,470,600,864,388,428,294,792,085,255,460,778,417,994,839,952,275,759,421,
856,765,453,651,480,940,556,412,194,583,007,335,647,782,129,117,228,671,667,
673,077,099,251,290,637,011,317,926,684,201,650,062,475,981,273,057,247,857,
266,613,235,734,020,567,460,578,150,895,651,761,985,557,654,603,309,232,560,
460,471,406,101,318,205,635,326,702,074,480,788,569,199,549,023,859,656,008,
884,757,652,825,606,657,046,299,908,844,734,214,870,689,178,333,840,910,436,
613,458,508,319,155,250,609,493,922,381,125,755,500,360,104,103,347,061,204,
944,775,051,386,006,495,886,616,066,952,779,429,379,600,347,964,356,240,381,
003,695,910,366,288,505,930,447,098,625,199,337,908,284,485,084,703,156,600,
575,635,868,455,403,649,800,479,594,421,034,010,477,751,185,696,498,844,891,
938,608,515,808,470,772,579,361,917,608,955,473,747,985,776,560,246,139,558,
172,997,800,656,247,758,336,668,140,908,149,649,389,243,048,605,025,062,540,
972,158,964,703,062,993,282,010,065,225,328,631,179,107,066,901,052,320,359,
299,614,188,929,455,385,967,742,964,490,491,281,232,877,534,991,751,892,236,
450,039,059,915,565,633,129,683,489,617,424,345,219,559,922,852,402,394,238,
167,855,665,861,235,877,793,909,288,018,084,793,190,867,297,396,175,944,680,
880,013,291,360,160,119,537,415,269,946,729,660,711,095,519,292,932,991,610,
811,157,185,443,963,185,403,149,193,996,286,351,186,714,627,984,635,508,713,
997,330,839,874,495,764,527,002,078,224,354,289,090,634,453,697,155,546,868,
061,054,624,843,291,689,961,078,069,366,849,837,250,968,459,147,073,592,356,
401,833,455,481,831,641,877,911,868,102,349,489,085,552,545,346,376,495,383,
540,092,636,510,673,870,082,165,414,920,774,460,986,488,578,328,602,452,571,
955,930,672,505,167,012,208,065,480,223,868,631,798,961,840,805,406,373,292,
125,738,695,748,021,244,544,637,543,797,809,530,169,497,254,602,378,193,816,
163,120,101,552,474,575,485,927,817,851,513,435,846,439,706,337,882,977,219,
337,425,750,855,842,645,217,207,153,897,448,220,836,118,762,330,138,361,341,
819,957,436,533,586,986,612,840,885,707,460,715,128,161,584,402,768,002,110,
319,689,054,504,104,352,948,188,586,033,302,571,656,874,876,917,335,112,207,
394,939,708,910,677,313,821,376,296,128,396,511,146,709,004,972,461,186,877,
296,214,319,718,365,838,132,135,756,086,516,503,975,880,862,270,847,207,549,
200,169,696,772,473,122,147,052,188,117,983,451,049,450,225,561,042,457,010,
593,634,941,005,572,998,867,443,792,610,907,253,532,636,151,012,648,634,601,
792,944,685,557,884,973,738,314,884,701,340,907,943,044,783,747,346,579,763,
946,754,396,335,975,123,061,918,843,198,797,469,351,787,090,153,048,538,555,
702,651,740,921,539,382,652,133,388,083,128,826,194,044,356,646,787,776,315,
190,021,216,683,044,104,938,556,103,906,476,277,531,476,362,373,076,438,546,
032,105,717,235,014,724,923,004,493,693,257,162,642,709,193,356,897,598,186,
189,044,791,147,135,012,998,728,416,856,422,654,881,346,437,314,000,841,229,
739,958,403,400,127,604,634,106,347,793,184,021,467,525,856,510,871,459,714,
165,020,818,233,013,791,134,667,732,166,620,147,480,111,265,860,340,870,161,
523,288,338,950,101,781,089,883,860,427,914,964,592,816,411,984,957,443,787,
770,196,784,945,444,147,997,488,647,783,336,591,117,155,555,594,309,992,731,
608,525,837,038,362,272,091,197,077,155,280,949,993,805,608,764,926,249,848,
696,715,824,396,968,785,852,578,062,072,193,341,194,089,216,102,832,439,555,
172,428,269,705,637,882,216,407,459,345,908,398,360,816,042,162,402,554,138,
803,208,970,885,025,137,991,361,990,751,379,959,699,023,481,799,250,130,800,
712,224,238,009,953,653,742,518,510,087,976,685,788,758,490,873,062,475,981,
335,773,702,271,059,784,124,822,687,572,594,179,583,858,108,118,656,759,113,
251,592,987,998,093,993,490,250,645,876,397,594,530,053,584,900,074,276,931,
576,495,863,807,684,182,940,249,437,771,646,393,514,190,991,802,403,915,343,
392,477,697,294,553,130,574,044,296,732,576,171,674,660,146,860,983,225,902,
586,854,945,258,791,436,523,884,907,130,044,234,117,351,431,485,047,357,379,
649,147,702,124,934,275,785,752,220,669,318,965,644,364,542,254,524,257,799,
626,204,898,201,679,092,673,536,780,592,297,034,991,265,696,276,426,834,826,
695,449,853,940,906,536,855,960,756,912,441,456,202,335,738,231,708,764,288,
794,761,245,741,296,194,956,126,008,498,679,923,440,811,497,202,236,858,622,
159,044,967,187,730,260,753,756,560,722,103,330,698,900,652,928,962,235,423,
765,161,703,137,819,517,378,730,088,620,964,822,243,192,618,259,853,815,461,
254,488,902,167,774,042,448,563,788,696,273,082,809,881,985,821,237,837,344,
561,907,442,842,907,936,563,088,970,405,789,897,232,373,762,001,143,494,226,
678,858,199,360,556,250,290,179,759,209,332,624,914,101,480,674,010,640,639,
553,880,788,323,759,978,162,131,544,271,198,232,901,833,190,540,755,381,913,
251,104,687,901,159,076,033,207,962,148,018,028,169,508,478,801,159,236,396,
447,369,384,281,850,964,270,256,494,766,038,075,201,209,324,474,443,986,003,
146,497,922,928,740,431,444,815,460,405,804,254,516,761,587,360,923,263,137,
684,631,563,058,109,424,638,765,505,452,233,572,656,035,466,398,807,405,543,
351,479,618,778,363,939,448,057,464,660,933,019,435,321,148,291,967,482,799,
212,085,751,426,509,955,290,569,752,131,240,236,805,847,014,949,571,444,853,
732,707,226,684,305,496,919,501,408,077,076,324,890,217,385,912,892,933,864,
832,303,814,602,817,902,120,785,903,688,833,832,027,103,806,183,987,265,075,
744,370,327,796,988,452,506,440,206,537,744,074,702,641,868,341,529,632,477,
418,063,026,227,913,038,394,633,365,263,481,327,952,393,841,710,466,645,139,
610,560,364,672,136,350,818,291,017,979,058,348,567,103,788,840,476,888,743,
190,637,340,555,294,530,685,971,989,003,636,553,565,387,549,839,446,942,015,
590,321,461,499,573,229,569,971,053,375,343,975,898,733,044,755,394,548,401,
237,091,024,785,553,445,332,555,388,076,900,997,962,970,628,925,173,118,553,
440,523,048,320,497,715,147,010,345,540,031,120,184,172,458,864,973,034,488,
275,728,940,323,961,143,576,622,724,456,331,369,605,080,257,342,249,288,109,
259,083,917,829,545,670,177,127,534,960,991,045,728,595,285,419,381,538,516,
395,103,655,971,393,429,322,810,433,431,541,079,518,286,089,379,696,605,124,
145,487,408,423,812,946,081,539,918,972,609,848,052,780,148,514,105,804,760,
091,275,091,063,159,541,928,881,533,164,028,666,280,274,727,560,892,976,252,
745,277,622,039,242,330,293,825,991,483,535,001,865,859,851,748,100,912,427,
634,671,032,778,943,504,509,189,469,146,403,423,838,745,856,912,739,594,874,
459,615,908,039,462,252,771,964,362,118,525,897,509,276,776,809,446,225,312,
220,728,274,641,481,725,955,018,848,707,666,811,924,789,855,374,162,610,880,
809,306,737,926,648,980,336,211,923,550,971,668,894,348,512,629,061,870,850,
265,861,582,036,729,173,439,228,469,992,680,798,152,624,333,971,986,938,474,
095,987,226,558,703,602,133,594,917,494,935,058,582,789,573,853,680,076,066,
148,483,483,447,883,449,117,466,510,376,594,483,853,192,042,469,918,248,771,
039,159,695,212,921,797,276,774,916,458,286,517,636,396,160,324,056,859,550,
088,560,412,753,436,536,452,764,659,579,599,958,767,112,219,823,368,356,287,
139,138,371,018,869,927,568,027,487,535,864,199,775,974,729,976,133,548,058,
603,351,807,167,002,320,738,743,010,228,135,991,068,880,470,531,131,503,862,
634,781,469,275,488,372,192,037,156,849,508,190,742,044,144,286,904,135,720,
905,223,992,234,810,502,318,767,301,897,311,442,685,606,652,910,374,848,944,
693,910,581,905,524,952,198,974,590,024,779,237,056,006,863,760,460,002,116,
804,482,426,041,753,687,648,349,180,632,206,264,569,793,158,884,463,385,748,
167,920,810,418,462,407,280,182,401,316,145,326,001,708,110,980,388,709,655,
026,144,380,491,821,017,621,509,579,769,047,204,583,644,980,563,953,714,785,
401,876,355,994,067,711,562,375,051,222,510,537,470,515,141,886,212,685,683,
344,055,924,993,603,409,370,909,170,300,815,059,381,006,044,262,757,776,121,
401,646,060,509,558,629,361,623,513,792,044,142,244,020,683,084,747,839,766,
284,293,053,692,151,384,686,448,671,451,022,157,703,662,852,071,935,961,672,
545,654,569,349,844,293,982,957,343,908,959,356,806,595,699,012,250,831,852,
973,098,023,573,807,002,989,559,561,663,441,987,731,616,946,599,804,667,614,
431,899,906,521,104,600,268,239,490,406,121,402,354,177,318,037,165,382,500,
263,190,900,448,334,239,766,091,386,378,567,191,181,700,613,809,361,417,434,
737,992,270,266,606,231,975,391,008,209,599,055,079,263,022,307,811,325,071,
432,847,312,014,485,476,616,984,121,303,786,111,784,908,482,942,484,660,574,
794,067,476,596,169,211,366,016,645,578,524,829,827,073,033,992,809,487,660,
415,999,922,477,915,501,431,489,023,189,527,484,490,723,471,231,558,914,829,
951,816,946,653,102,740,550,541,119,895,985,552,471,902,383,001,734,899,407,
298,310,966,822,412,260,162,309,284,706,341,041,221,931,026,540,195,313,779,
682,978,236,871,715,468,529,833,871,869,295,930,016,386,745,728,709,795,665,
007,648,427,494,245,380,735,116,076,146,528,120,927,841,274,859,454,146,248,
074,032,647,376,857,784,877,540,511,745,581,948,955,886,955,054,139,877,829,
950,899,205,845,370,351,316,382,207,583,165,091,485,824,653,594,053,565,494,
376,867,888,348,064,360,222,716,079,941,097,604,854,535,852,566,126,740,042,
095,211,702,016,978,664,689,340,279,653,756,088,722,961,111,229,600,216,692,
586,052,017,943,487,162,880,033,195,636,757,338,005,889,513,991,561,818,371,
936,662,615,712,737,054,930,219,627,577,289,153,224,053,136,685,037,307,794,
367,755,588,138,052,652,978,183,727,492,551,343,994,089,836,555,233,434,823,
465,152,277,280,818,766,063,730,986,781,989,260,124,235,449,336,891,907,658,
638,644,832,925,101,200,246,412,076,608,521,451,646,606,720,079,427,748,958,
275,153,854,281,186,974,567,592,301,906,588,534,350,147,670,378,818,056,191,
456,214,792,692,221,559,224,998,912,005,358,913,013,770,134,618,451,660,389,
774,930,237,550,258,472,783,486,222,987,895,676,834,279,934,568,043,859,669,
892,507,620,323,743,208,050,667,893,148,627,295,760,594,295,844,035,059,477,
751,718,845,049,531,273,383,704,925,428,671,085,962,721,203,101,157,404,407,
622,923,708,068,207,436,507,656,916,691,057,524,366,717,004,718,939,615,515,
374,786,650,255,431,692,409,403,676,171,225,862,531,230,002,866,031,650,186,
151,996,293,150,760,510,175,004,696,672,504,616,147,643,553,941,560,822,726,
875,078,068,724,400,578,878,963,199,083,832,631,969,694,366,990,576,455,895,
155,558,189,255,687,856,284,324,736,858,072,921,810,183,967,915,037,740,087,
391,399,879,110,688,997,015,016,299,006,731,601,724,826,007,664,502,889,187,
634,653,305,229,706,614,914,840,697,946,321,741,181,507,152,138,167,794,985,
518,175,645,301,284,539,929,197,561,712,166,226,107,714,543,474,530,711,203,
771,688,890,461,788,340,574,912,378,799,227,710,325,201,971,204,627,971,618,
732,811,024,767,928,014,063,469,295,562,421,289,866,915,154,106,233,707,373,
686,025,179,836,504,761,906,667,730,151,195,403,068,143,732,734,539,601,561,
374,976,806,692,041,994,623,043,074,970,645,599,290,051,738,233,779,278,368,
162,056,635,919,426,055,806,224,701,307,560,055,355,722,418,186,441,141,231,
996,341,011,629,291,465,902,996,895,349,157,163,772,480,749,426,325,329,969,
755,165,815,197,779,233,432,092,681,022,591,725,146,630,571,755,243,077,705,
363,320,598,886,529,894,571,840,909,652,238,039,796,710,310,031,903,748,713,
963,868,702,788,831,821,344,990,534,635,997,398,006,760,807,753,428,654,267,
880,302,417,225,469,002,438,558,054,692,151,218,100,745,411,148,347,412,334,
797,689,608,377,337,046,046,600,166,185,622,074,519,326,772,051,214,533,768,
856,229,383,118,940,541,620,236,631,859,988,030,451,745,628,307,419,281,584,
816,231,946,117,102,233,926,076,110,312,058,086,279,252,098,354,707,699,360,
171,819,920,230,010,378,513,560,004,665,559,084,410,092,909,319,942,277,729,
202,552,372,078,439,193,515,732,691,899,675,087,684,702,606,948,195,084,800,
205,698,804,731,688,364,228,072,469,509,333,210,685,727,370,207,396,754,851,
717,724,997,882,046,608,252,780,871,872,890,876,180,796,428,461,356,018,542,
508,063,089,399,951,872,807,493,487,733,415,480,190,702,916,578,845,383,500,
324,916,038,286,225,362,109,644,965,826,711,665,104,529,462,893,658,876,792,
311,145,115,953,326,820,350,495,388,810,764,188,155,645,294,985,031,739,831,
753,071,438,605,245,830,022,439,932,425,860,706,920,281,358,434,636,564,935,
559,428,014,867,001,088,151,535,032,004,036,994,590,256,568,117,685,515,099,
775,539,561,559,896,593,682,794,513,912,337,200,954,376,865,095,748,566,205,
020,308,647,426,577,186,867,477,037,676,795,331,453,695,998,751,483,605,122,
442,109,932,476,707,430,448,512,934,077,815,759,381,923,005,586,320,106,843,
846,956,111,704,797,083,906,221,731,112,339,924,891,108,082,354,120,676,896,
706,071,464,049,746,743,798,603,211,541,805,602,473,394,725,994,107,963,044,
357,218,625,869,141,111,230,596,641,860,171,862,348,442,918,954,846,966,863,
611,303,141,706,492,589,775,916,876,097,262,547,111,886,081,667,244,085,827,
846,723,888,190,574,916,346,402,004,792,203,255,969,630,654,400,990,756,616,
584,036,961,759,371,889,929,676,369,489,180,000,688,881,497,485,292,259,638,
085,198,774,603,062,688,511,290,136,973,529,628,646,937,734,290,765,578,308,
906,747,844,764,954,970,296,243,558,500,670,343,212,161,362,978,337,918,590,
534,223,343,919,000,935,348,032,581,409,849,273,374,856,438,176,774,360,698,
917,745,075,466,036,438,507,988,525,517,694,511,944,995,219,390,876,792,436,
762,742,408,469,150,580,794,071,046,668,624,198,487,937,102,500,513,702,013,
510,620,583,513,355,089,392,613,814,580,413,077,563,323,972,284,034,012,986,
025,717,904,203,494,992,008,498,978,134,941,079,840,555,280,190,698,674,553,
047,172,163,769,444,518,285,572,933,723,309,199,937,942,913,041,109,792,391,
253,395,416,315,763,554,972,719,621,475,226,079,377,043,327,735,082,550,651,
519,157,141,999,663,634,379,710,082,963,893,050,457,198,234,135,399,461,516,
888,864,215,569,212,329,870,560,701,093,214,013,987,259,488,058,295,277,534,
748,482,113,311,391,752,820,339,203,878,620,349,503,205,898,037,103,110,408,
113,124,577,267,699,869,223,585,391,735,626,266,731,533,368,824,729,622,442,
556,095,945,889,484,275,739,990,765,949,684,531,865,171,684,821,954,445,126,
322,953,620,137,482,023,625,203,216,843,700,121,473,071,311,965,882,644,838,
405,983,853,206,722,026,693,315,425,082,566,372,087,366,779,822,476,427,387,
753,029,575,031,671,178,323,526,240,937,727,642,732,872,261,254,581,178,799,
094,436,261,680,602,612,558,935,627,632,404,550,934,139,252,300,133,409,755,
691,360,106,410,243,277,166,836,841,082,992,396,618,065,840,963,830,517,032,
959,867,197,465,093,042,212,992,516,203,795,638,435,561,083,250,881,970,403,
552,563,933,925,619,755,345,761,639,046,420,590,985,094,188,642,743,006,970,
702,654,148,509,940,652,965,305,762,745,228,591,356,679,333,145,005,375,548,
451,984,568,198,253,867,783,680,555,502,971,348,394,171,821,045,248,382,178,
871,429,734,668,102,797,280,538,659,114,805,663,700,060,892,255,216,502,383,
082,015,766,811,982,519,018,612,328,890,867,630,776,418,502,101,318,708,095,
608,250,290,596,729,371,693,994,030,584,574,905,744,399,907,254,930,968,540,
209,985,473,271,957,246,308,716,119,451,536,732,078,468,400,112,478,412,383,
547,086,860,095,994,278,116,519,098,498,743,530,803,541,392,869,841,111,882,
923,224,072,243,741,848,116,291,998,553,893,280,490,865,848,710,955,237,776,
227,271,495,823,895,171,401,161,704,583,689,140,977,389,279,750,302,252,313,
706,718,464,927,709,532,021,293,853,486,981,051,613,144,507,333,891,645,743,
472,259,444,545,971,590,069,210,935,929,664,272,667,151,848,403,406,097,544,
204,990,445,357,960,805,226,652,180,734,787,589,871,341,430,696,017,601,722,
228,291,139,261,328,403,070,092,620,668,253,130,995,488,773,498,715,682,937,
430,700,877,742,269,041,516,899,619,626,927,939,231,227,675,101,370,098,255,
312,148,404,990,903,988,968,281,936,085,078,494,285,194,056,500,493,648,188,
236,714,964,496,011,655,431,783,112,002,679,239,662,232,493,379,061,884,406,
674,833,076,337,548,422,455,727,301,783,274,602,657,740,812,159,073,864,358,
866,042,278,413,767,007,898,477,155,796,299,453,086,996,891,725,484,987,491,
721,725,536,934,269,820,938,704,318,132,011,279,098,066,967,990,597,766,449,
474,937,226,882,953,679,792,054,309,319,279,544,507,641,939,384,875,997,178,
244,287,714,448,137,957,788,250,600,580,712,046,249,280,420,595,669,407,595,
329,406,576,467,057,618,201,673,839,585,195,352,522,642,133,589,835,167,512,
694,520,418,289,361,854,500,825,614,500,606,008,329,572,526,921,166,113,341,
318,424,820,820,817,952,494,121,795,926,365,258,036,676,151,876,630,561,203,
727,005,477,664,936,929,157,319,163,670,632,828,307,034,924,379,614,810,175,
648,060,705,597,436,124,552,748,004,404,146,373,302,931,307,840,610,132,472,
344,340,676,357,494,295,078,776,179,077,840,261,467,833,323,047,848,539,970,
054,032,612,668,220,855,074,300,121,522,111,688,952,195,030,085,842,783,606,
221,418,285,106,136,598,466,586,810,267,532,017,471,329,452,854,255,792,899,
689,691,996,686,571,756,459,423,835,997,401,299,940,017,776,663,158,214,078,
296,544,634,760,637,839,488,732,356,010,769,521,766,033,386,818,841,268,964,
423,014,296,943,908,971,354,322,462,536,127,542,258,065,806,558,527,716,508,
688,706,749,519,217,378,585,038,974,817,447,068,446,904,053,930,964,383,186,
814,538,358,309,697,478,721,676,601,456,859,983,376,042,108,300,343,533,325,
939,078,123,983,054,042,176,153,067,035,107,485,640,853,630,921,314,326,161,
884,754,060,827,118,132,877,750,541,860,901,209,006,771,418,871,400,520,692,
486,506,520,963,663,575,722,026,842,966,894,932,464,169,230,218,197,991,142,
377,615,222,022,076,527,311,565,393,294,627,181,951,977,845,561,433,079,940,
560,840,573,981,434,952,524,399,222,081,387,984,938,018,608,558,262,977,781,
988,744,585,791,328,419,292,714,373,113,367,942,620,951,191,866,503,572,385,
944,971,718,984,449,708,644,641,301,715,591,807,329,953,509,527,583,170,943,
992,994,919,351,308,001,050,986,503,267,445,855,101,793,149,322,153,181,222,
001,268,553,010,555,980,051,542,703,635,458,347,648,955,084,697,652,427,184,
612,164,770,612,455,693,956,527,367,288,857,540,894,861,003,830,043,713,377,
874,668,923,383,245,025,474,622,548,608,641,740,759,569,066,811,650,393,170,
746,658,769,454,893,199,655,432,392,636,046,397,599,542,794,165,171,299,162,
781,187,097,565,740,682,476,777,133,372,927,723,774,996,765,789,985,889,195,
031,024,223,991,416,848,277,386,728,903,522,073,743,323,983,700,816,496,531,
430,187,553,918,903,945,678,748,015,752,217,744,578,701,342,749,696,666,483,
831,661,131,923,036,062,497,847,548,662,160,366,199,977,761,798,792,114,063,
953,832,829,076,173,356,606,981,324,346,042,262,835,086,711,774,162,713,460,
791,669,847,022,983,734,820,375,329,779,185,272,132,142,012,475,931,453,698,
399,114,167,877,138,299,416,375,802,959,419,688,426,191,036,670,488,828,761,
139,541,001,647,364,965,704,515,718,549,869,559,614,847,550,815,230,696,804,
327,768,798,590,062,673,890,917,899,497,556,295,765,401,626,035,306,352,699,
976,700,192,188,068,584,441,188,169,183,664,479,000,744,970,448,570,402,282,
760,999,858,207,105,530,757,779,127,189,620,599,323,647,117,869,952,144,106,
776,738,359,847,068,389,492,778,156,012,926,145,872,935,128,723,668,956,300,
749,692,992,518,282,665,258,859,626,994,146,784,716,544,407,439,945,724,759,
237,308,760,867,171,037,472,137,902,510,402,007,078,805,984,196,600,348,445,
713,486,443,481,653,112,706,992,691,051,518,468,077,113,968,485,487,127,344,
709,646,685,889,743,170,721,928,493,314,351,016,731,473,167,653,300,816,724,
487,392,429,449,471,068,223,329,714,671,603,433,433,814,190,781,610,949,107,
835,722,672,498,633,253,973,953,953,555,674,238,840,943,671,681,643,622,820,
943,475,494,839,623,424,643,686,324,016,562,478,003,435,561,547,416,755,895,
261,824,538,227,281,459,283,150,942,179,219,246,068,638,182,113,588,829,083,
968,451,484,294,190,596,465,376,436,781,934,768,313,608,147,722,030,400,199,
246,702,763,770,277,204,712,771,671,683,393,723,191,064,973,927,168,784,869,
845,131,949,230,950,957,015,418,438,863,578,755,897,872,732,100,871,663,926,
429,692,639,308,455,469,462,960,412,978,888,313,721,707,582,991,656,739,131,
676,484,859,435,618,887,809,339,458,218,972,585,478,372,207,417,718,588,017,
206,710,900,533,589,298,837,011,950,524,887,068,488,531,375,859,831,627,400,
784,001,642,037,933,109,749,132,744,496,279,553,332,357,610,650,646,986,356,
219,921,850,402,409,829,243,608,210,586,695,915,023,582,944,964,548,172,553,
493,253,423,915,468,649,139,884,873,919,853,243,854,459,596,579,235,923,395,
699,827,353,821,772,254,377,358,102,489,449,240,596,318,897,737,746,389,124,
144,918,132,539,632,812,643,820,118,600,996,910,681,063,979,283,341,015,892,
667,917,713,254,762,497,217,992,749,014,697,022,244,538,922,928,039,666,556,
308,946,089,812,407,400,284,181,521,391,881,611,624,026,293,048,683,154,934,
444,991,425,223,707,789,496,076,482,993,943,359,534,799,011,602,397,330,338,
223,250,839,930,631,327,989,727,500,209,628,666,809,963,075,246,545,006,232,
448,570,192,826,747,784,532,294,243,163,322,403,233,203,591,767,261,977,409,
066,384,132,667,638,177,696,975,384,914,595,880,228,285,468,088,077,491,099,
235,394,148,737,116,254,925,610,829,453,724,420,819,252,904,777,456,366,957,
113,121,521,360,283,796,826,308,019,060,972,381,127,447,956,190,196,870,620,
598,504,638,839,059,439,726,592,423,724,569,279,243,622,579,920,774,650,604,
402,242,012,481,594,124,119,283,737,557,871,203,461,355,466,352,779,606,272,
447,923,851,109,159,885,216,778,989,980,176,717,932,279,107,057,501,832,050,
112,570,732,144,198,577,646,752,536,540,602,521,997,896,153,317,388,768,735,
397,117,093,612,009,737,169,167,360,905,751,165,043,313,531,017,971,726,982,
002,459,801,530,964,189,037,166,755,418,119,285,920,286,119,438,790,164,017,
668,917,123,578,119,635,109,604,064,157,333,793,126,434,306,698,199,980,980,
003,294,532,987,466,294,582,922,752,115,701,421,496,649,977,649,968,491,575,
781,588,013,935,796,566,827,877,281,544,440,681,190,097,779,900,984,585,941,
558,445,527,747,347,788,820,694,090,129,059,604,815,607,536,561,101,112,672,
408,634,764,023,389,055,622,612,389,604,042,810,572,937,520,260,268,169,521,
750,092,774,681,349,268,171,125,055,340,742,735,257,756,585,979,123,390,479,
445,264,541,368,543,478,104,087,118,854,580,617,921,594,785,729,803,197,137,
094,610,533,502,333,516,670,188,572,089,433,965,046,621,854,099,747,881,569,
609,805,495,262,082,474,361,796,494,444,582,391,574,703,947,635,353,330,180,
320,458,709,112,800,073,400,817,549,877,530,760,814,447,853,727,891,866,577,
602,483,115,081,732,649,530,734,661,229,685,418,755,623,328,587,461,920,030,
608,342,444,479,479,297,100,670,271,134,023,581,873,164,806,422,307,183,318,
579,829,295,553,910,378,123,295,263,444,801,949,836,166,150,940,837,088,874,
174,593,970,072,982,707,699,526,480,483,634,331,530,130,911,320,310,739,825,
940,780,869,043,060,281,941,082,411,185,408,324,385,502,190,296,802,044,553,
508,853,612,410,270,779,757,958,557,506,321,688,612,905,064,384,093,692,103,
051,492,789,153,109,963,709,000,985,330,179,575,713,002,405,274,589,913,943,
003,354,013,855,645,175,017,974,578,147,108,872,828,287,437,148,166,423,610,
943,568,798,246,029,518,167,429,181,747,852,502,888,972,674,155,340,325,771,
557,877,330,737,636,962,964,114,207,540,428,106,988,253,944,535,698,640,416,
664,236,735,419,577,750,588,699,129,521,439,140,078,790,324,591,274,138,794,
381,736,098,033,543,940,420,108,611,579,729,347,705,266,631,623,736,211,734,
678,047,318,744,594,060,766,979,908,937,353,668,409,930,476,008,321,632,433,
174,444,217,270,702,967,548,211,368,281,710,078,044,093,529,835,905,962,733,
048,140,261,653,453,396,859,875,090,942,428,782,385,214,409,900,663,102,064,
283,314,828,776,147,044,058,264,970,074,269,919,485,622,373,309,710,031,003,
942,043,866,328,704,875,185,872,095,164,549,491,705,297,722,236,735,555,899,
751,218,285,165,719,120,586,922,497,232,503,639,012,696,293,317,045,625,250,
376,152,850,213,451,029,303,627,226,246,497,933,534,288,975,971,077,497,655,
479,913,573,208,750,551,219,538,082,209,141,013,460,484,681,431,116,669,242,
942,250,032,709,897,650,666,237,121,815,299,326,714,289,153,672,117,765,792,
834,334,688,886,101,184,010,898,432,460,540,567,361,985,389,504,066,129,293,
957,330,997,902,255,304,126,116,292,953,829,545,120,265,953,320,034,285,674,
855,811,334,587,711,698,338,402,909,497,713,013,304,173,033,208,895,002,422,
612,771,472,135,249,816,389,606,520,771,360,757,271,294,740,261,218,568,187,
696,242,433,520,136,827,086,356,134,209,079,050,875,261,741,482,886,068,929,
671,154,549,427,992,398,157,164,962,205,153,168,014,725,019,915,619,708,606,
060,671,168,065,161,769,905,089,168,463,567,318,329,617,209,702,489,682,848,
166,641,291,475,471,560,788,685,898,647,429,754,582,162,010,916,619,454,286,
942,274,316,152,196,312,548,542,334,446,621,567,347,226,123,205,594,327,290,
988,272,689,381,962,123,506,455,620,559,149,951,680,646,130,555,833,158,917,
473,423,843,145,301,850,041,300,683,706,945,205,148,527,513,606,019,128,971,
927,430,192,930,536,522,662,731,394,924,640,240,380,794,349,940,660,432,219,
272,418,200,928,352,243,296,115,165,761,331,279,987,776,010,919,432,048,585,
001,787,639,627,387,284,685,976,870,093,838,373,746,922,529,696,583,249,911,
505,257,533,518,502,269,189,081,958,285,130,293,994,997,369,124,516,296,207,
545,512,484,987,875,581,935,646,205,901,757,867,363,766,578,063,231,983,088,
007,413,926,401,920,321,812,183,092,371,900,007,589,849,769,119,386,552,968,
572,448,158,420,063,921,297,160,276,882,242,188,301,509,929,655,356,848,617,
839,735,951,187,393,502,803,133,290,613,733,884,382,838,328,474,172,684,328,
860,387,485,370,801,235,562,267,463,594,363,471,169,385,752,851,237,318,535,
078,900,944,510,130,462,047,376,523,775,556,906,624,571,504,140,394,485,118,
423,423,216,316,055,398,703,260,598,620,946,411,320,560,642,544,225,611,901,
246,595,931,867,425,365,535,924,973,366,106,607,698,356,471,387,993,571,123,
896,342,342,013,208,738,166,320,638,184,037,489,807,768,878,077,444,414,115,
954,013,194,968,939,512,415,558,813,259,412,837,455,852,210,699,028,403,420,
874,708,262,208,456,806,145,566,198,482,613,548,905,775,716,357,375,502,934,
836,522,925,126,437,939,423,417,665,172,438,569,347,305,829,092,702,614,222,
300,804,033,540,733,215,263,967,723,626,476,948,665,843,249,905,217,677,005,
275,859,937,647,243,876,530,021,694,909,829,172,703,368,155,917,331,169,990,
332,127,812,364,832,627,297,118,236,242,169,674,742,542,680,302,494,945,221,
766,909,379,779,676,333,477,506,399,219,050,307,779,466,563,752,351,168,107,
511,284,394,587,674,918,779,769,989,754,127,629,584,031,750,709,750,542,176,
961,151,413,877,751,750,117,459,967,825,928,007,644,104,543,822,823,600,817,
368,071,338,533,859,452,934,130,905,325,564,412,193,401,342,115,219,756,929,
587,959,083,617,178,347,611,099,894,602,940,054,986,319,134,149,766,661,551,
085,465,438,058,497,445,329,013,788,558,328,909,884,804,902,452,890,473,439,
364,789,463,731,041,583,372,967,041,890,307,430,178,120,546,641,539,297,884,
810,571,883,046,987,189,679,879,758,337,143,875,584,350,800,111,255,300,042,
687,461,032,646,358,398,973,332,495,570,348,417,815,559,905,239,314,048,704,
415,524,010,285,150,286,283,726,826,641,440,268,569,218,041,379,978,118,868,
726,358,949,173,028,268,180,651,849,719,417,482,404,089,166,231,007,977,435,
630,523,775,273,437,953,963,810,750,440,489,176,964,646,085,076,494,623,454,
247,774,406,258,307,023,370,605,077,128,660,491,442,086,380,710,112,128,805,
580,368,007,453,366,051,684,060,470,222,368,527,934,689,709,724,091,822,945,
706,910,314,836,650,429,518,911,346,606,329,477,437,842,593,880,036,268,967,
486,428,987,678,058,782,092,225,652,985,632,805,396,718,737,482,998,856,749,
868,045,483,824,281,240,698,704,177,013,482,158,886,489,378,017,232,763,631,
886,320,382,453,676,232,695,733,271,175,434,777,295,218,338,527,928,118,928,
517,455,232,982,943,836,134,186,168,537,618,001,852,816,911,164,586,268,489,
104,511,890,173,611,926,796,770,196,807,795,420,205,408,891,639,209,406,130,
450,834,574,908,826,686,018,718,926,333,761,400,677,156,855,020,167,506,723,
000,338,837,472,206,040,066,119,154,170,665,384,604,337,260,100,416,101,642,
448,931,830,466,887,739,815,849,252,359,331,386,337,339,971,060,744,110,989,
616,901,349,808,751,690,069,668,315,907,301,705,991,549,596,106,482,801,871,
005,344,536,680,233,723,530,000,958,296,267,928,517,826,676,079,274,179,269,
736,717,352,411,169,704,637,271,343,981,352,351,232,807,325,526,481,599,271,
052,762,857,903,345,511,112,158,803,832,731,827,737,499,396,620,997,076,494,
917,410,909,341,663,502,805,629,440,569,898,005,490,453,494,772,051,663,693,
361,060,530,297,646,710,713,457,699,816,454,539,412,573,347,634,892,400,633,
117,496,593,840,154,182,456,121,940,317,816,657,531,182,209,141,244,048,081,
324,249,288,876,541,337,674,978,409,744,744,024,103,441,656,632,839,723,874,
023,634,401,671,151,955,903,797,504,449,965,017,573,397,157,623,003,162,169,
796,169,278,077,007,551,952,687,493,174,995,715,961,471,634,016,541,751,542,
003,206,965,765,331,305,275,651,341,546,749,861,699,056,122,899,159,042,423,
498,467,540,455,286,586,080,245,465,532,142,894,860,997,626,664,314,495,070,
802,955,486,866,803,627,679,020,881,016,941,408,224,635,522,511,284,732,893,
546,307,452,600,853,544,024,191,891,943,868,126,483,288,111,264,560,160,921,
697,037,788,911,747,703,199,178,580,926,242,240,609,568,596,435,437,452,594,
522,479,425,730,198,009,315,481,079,419,207,550,887,715,053,874,610,387,200,
339,775,701,448,461,719,206,807,204,835,665,413,727,623,066,118,569,789,088,
434,002,978,001,813,572,262,883,484,539,477,290,215,263,660,194,568,696,403,
959,412,630,472,597,476,204,408,312,198,260,569,050,645,135,806,823,996,091,
364,951,931,705,589,668,016,288,467,885,380,669,352,448,649,520,867,591,099,
843,886,881,571,520,163,142,166,206,074,248,256,910,718,516,677,920,185,159,
912,025,943,193,169,337,660,928,039,027,444,071,942,027,605,959,917,061,977,
510,527,373,940,766,328,057,800,669,004,931,979,568,121,524,587,560,011,978,
137,129,422,936,010,803,079,496,749,767,831,986,992,601,034,373,151,781,487,
665,294,911,501,869,617,251,869,418,063,282,108,762,258,627,283,580,200,806,
472,168,320,866,445,771,732,912,863,999,039,433,380,206,402,238,468,507,899,
155,084,764,669,842,497,586,917,206,433,403,148,673,595,548,685,397,763,731,
417,255,589,389,672,519,244,241,614,237,577,777,729,944,167,925,718,960,185,
618,090,428,434,908,857,290,620,354,601,294,318,280,652,370,575,657,645,522,
984,063,217,710,387,162,862,599,497,442,751,605,982,292,333,364,477,425,777,
534,235,326,154,686,397,176,404,770,138,048,095,718,952,037,747,718,341,333,
804,414,991,446,203,074,985,154,053,478,566,419,549,084,382,797,596,125,088,
048,580,425,002,773,500,320,252,279,865,012,226,083,440,729,663,751,884,068,
420,210,095,610,466,331,529,142,482,089,354,482,338,516,128,861,411,287,584,
389,004,330,399,167,550,507,160,509,107,462,201,457,816,031,951,395,204,592,
925,949,803,679,442,200,442,431,378,749,706,664,705,811,833,917,426,972,699,
333,350,221,270,848,241,106,248,315,530,601,522,600,694,453,087,438,974,575,
346,190,355,943,542,093,397,072,678,268,479,985,835,652,421,637,861,418,980,
129,790,329,013,810,370,552,922,992,342,751,124,004,979,122,643,686,074,123,
034,465,537,397,720,770,361,179,074,077,927,039,853,480,069,476,544,721,742,
562,462,245,580,578,681,601,921,285,355,276,471,956,878,442,514,474,557,011,
541,524,557,023,679,416,145,126,248,895,064,065,251,007,977,112,946,201,352,
941,625,907,372,049,611,797,415,408,322,912,280,565,155,437,504,475,573,743,
226,795,281,721,074,526,938,025,030,216,183,415,266,583,629,449,139,942,569,
150,023,116,126,830,804,357,274,146,079,826,308,987,681,767,675,982,600,229,
799,585,099,496,754,882,357,198,255,283,060,273,948,925,276,539,630,747,568,
487,336,620,176,569,682,211,951,835,022,627,154,787,770,239,203,497,518,999,
640,926,692,781,359,077,903,074,729,547,229,901,803,535,993,926,913,264,936,
842,961,394,048,779,339,630,821,748,660,399,515,773,667,712,474,593,704,515,
524,814,581,897,079,094,077,796,698,868,152,709,024,245,334,350,874,270,222,
163,002,044,490,226,302,453,852,795,808,688,907,950,597,759,240,583,659,386,
743,572,678,506,214,168,214,605,248,578,786,217,237,818,870,702,505,549,486,
373,232,146,088,565,976,284,657,769,380,463,849,892,660,567,081,384,274,834,
266,864,974,631,734,060,971,490,020,796,057,489,522,849,481,652,988,112,970,
778,712,884,286,380,266,741,477,884,432,343,900,913,246,234,356,984,495,956,
112,993,335,472,988,084,706,376,666,394,636,797,745,911,623,366,474,608,234,
712,898,660,340,135,023,670,158,076,647,409,198,785,085,874,948,183,075,409,
374,645,640,360,299,396,227,909,622,374,215,824,014,845,352,418,787,243,611,
356,099,691,646,801,628,395,257,676,177,962,751,431,130,463,132,224,751,316,
768,667,786,903,048,134,897,242,303,093,377,055,667,485,826,756,626,478,432,
675,889,524,329,308,924,623,095,935,624,974,259,958,735,046,924,341,256,478,
925,476,662,739,417,028,547,767,641,528,136,553,549,458,075,660,552,324,942,
356,785,795,111,327,729,710,312,960,782,303,164,162,166,936,514,318,297,415,
635,577,667,017,017,270,203,114,814,219,775,289,999,110,848,973,202,128,541,
418,153,948,634,130,774,845,072,218,107,583,584,612,199,455,017,178,174,945,
037,413,034,138,106,235,125,407,133,352,068,181,203,359,509,120,160,153,028,
320,349,345,659,863,908,416,212,595,591,561,523,322,229,077,310,988,814,698,
289,217,448,517,827,144,324,096,006,608,901,282,387,494,620,308,601,626,419,
259,447,785,563,119,097,677,805,668,611,087,935,588,975,164,105,537,614,167,
446,846,622,391,878,771,955,834,150,325,711,727,516,728,981,486,559,761,626,
798,691,704,860,656,066,848,425,808,738,037,734,114,463,945,467,678,218,065,
487,044,772,217,534,945,869,610,290,616,963,128,950,888,402,868,002,730,577,
434,919,158,539,658,541,635,579,763,756,346,545,952,774,000,457,345,197,117,
839,189,957,967,813,243,500,274,362,745,853,775,012,808,688,922,204,445,434,
834,296,081,168,372,370,646,361,204,192,281,248,499,515,943,659,763,286,740,
219,304,803,573,992,065,484,518,308,706,678,476,321,629,536,464,807,678,007,
844,856,880,311,692,124,394,844,571,588,609,603,407,685,554,196,691,582,760,
152,230,221,457,778,509,352,060,298,943,795,931,021,655,123,431,501,570,170,
027,599,756,910,200,402,056,542,908,824,181,206,954,857,276,130,441,309,233,
551,632,424,171,691,823,565,995,484,840,503,903,566,910,324,982,961,716,127,
857,231,110,539,125,239,487,758,737,243,720,283,048,612,292,878,954,144,109,
136,787,360,436,402,002,243,216,106,835,006,384,963,600,176,006,117,735,654,
982,339,160,665,148,755,459,268,626,395,301,053,921,446,508,119,750,155,371,
160,730,641,665,677,310,395,341,407,506,663,891,276,356,739,309,921,674,221,
011,035,680,372,347,945,712,823,619,889,019,021,266,631,227,568,130,034,031,
985,181,749,611,914,164,863,559,808,576,292,170,526,787,815,022,966,291,995,
891,043,635,386,284,126,595,785,474,180,501,479,912,498,763,949,633,751,432,
891,061,315,878,103,359,215,153,078,433,161,335,924,552,909,321,966,713,097,
452,718,352,664,575,251,352,928,944,551,822,602,250,100,738,902,357,775,457,
982,398,068,908,549,085,999,793,321,503,285,344,985,074,385,305,857,885,036,
926,028,492,435,128,132,568,826,360,605,036,197,013,579,568,135,519,039,714,
383,543,873,619,845,307,463,731,384,326,902,246,638,460,659,354,371,696,750,
141,779,442,499,308,397,500,670,953,549,973,598,350,335,847,897,187,890,713,
804,935,369,324,198,187,409,344,680,539,706,420,232,598,180,648,267,063,190,
014,549,095,586,871,262,045,262,775,225,506,890,742,642,382,025,974,269,640,
624,984,323,165,407,274,683,634,762,156,255,298,999,436,899,663,011,210,047,
272,869,551,595,463,117,084,150,620,073,663,672,193,983,703,522,743,356,951,
833,148,828,776,850,306,325,993,591,753,270,940,994,077,881,815,919,473,606,
090,094,601,890,725,441,020,520,758,068,939,249,629,196,810,427,684,510,652,
113,740,813,549,169,392,084,973,789,742,984,079,568,074,350,642,625,321,974,
361,415,662,937,493,734,414,352,253,816,692,359,598,933,486,542,939,891,141,
901,843,445,708,530,743,390,600,627,262,569,694,570,515,671,004,535,936,397,
709,911,137,202,125,417,442,772,048,812,539,464,712,093,958,030,504,085,871,
243,548,071,527,005,334,456,453,779,031,431,825,614,079,707,600,287,313,218,
171,325,724,161,833,868,293,835,572,539,379,417,912,171,437,333,287,601,594,
203,756,238,118,494,970,055,983,597,980,823,284,536,013,986,593,563,604,502,
799,664,221,839,098,850,545,945,921,091,667,196,624,790,345,098,473,433,046,
370,679,756,338,458,067,119,684,954,674,914,534,247,445,183,945,297,389,088,
008,422,185,782,481,616,464,671,235,964,506,084,377,023,426,514,961,141,511,
946,718,113,038,124,520,001,423,840,862,312,117,553,812,326,698,776,038,739,
473,698,596,368,216,429,493,775,722,909,882,153,321,209,987,351,437,370,635,
561,834,448,004,899,088,187,636,367,786,336,982,178,723,098,308,955,174,032,
989,167,289,836,501,006,249,428,830,092,760,761,342,959,822,186,639,762,412,
213,151,065,073,925,220,098,033,385,091,143,393,822,640,716,019,139,544,296,
637,609,167,488,758,927,336,743,601,914,024,146,061,405,028,073,079,798,921,
782,514,399,062,715,518,403,025,797,860,443,098,575,930,808,688,428,373,207,
705,247,851,819,888,849,074,447,499,985,158,920,534,886,346,086,132,777,400,
128,991,440,305,243,153,359,773,368,926,092,773,742,690,068,249,485,085,521,
290,652,002,916,288,129,419,506,329,769,388,209,765,751,061,404,743,772,396,
839,882,312,163,628,323,623,573,821,255,246,320,438,695,363,115,413,170,638,
668,304,219,050,646,161,348,234,072,132,816,693,447,626,616,940,364,661,935,
744,393,640,572,265,221,282,204,184,315,700,176,131,063,448,781,489,519,084,
504,977,685,612,855,535,232,224,322,854,625,185,416,038,317,226,291,139,827,
577,858,264,481,397,585,215,339,237,868,075,742,275,827,552,388,939,833,924,
970,647,119,923,999,971,461,347,031,739,849,709,874,146,370,324,594,920,410,
214,141,764,433,411,619,948,848,309,350,789,370,331,312,777,066,956,643,412,
911,578,273,624,182,643,877,546,004,092,806,228,421,579,576,663,045,114,620,
071,649,608,072,443,842,276,232,138,603,810,824,822,955,186,449,373,027,988,
414,201,519,883,994,025,465,539,412,641,253,995,829,422,771,570,576,645,766,
840,133,245,041,077,441,516,734,583,113,294,044,132,318,265,851,710,565,550,
261,956,688,782,642,091,040,911,682,857,639,343,704,166,257,748,436,478,532,
295,943,128,703,979,799,984,680,441,780,277,022,727,824,586,620,740,860,407,
346,402,290,328,602,971,209,163,454,932,323,575,955,301,345,919,949,726,635,
044,746,006,156,038,985,200,100,993,800,821,441,939,458,365,944,438,329,502,
786,936,531,292,439,781,308,649,326,494,147,670,578,470,249,214,674,743,104,
997,972,765,909,172,281,554,394,829,767,376,381,685,002,755,049,661,132,300,
776,808,069,731,375,277,328,825,710,311,459,313,189,269,004,740,069,231,358,
464,112,182,393,203,852,306,313,761,832,882,650,456,213,957,117,280,835,792,
211,527,027,368,156,057,559,120,058,585,383,068,191,665,662,418,311,642,775,
584,512,406,213,140,829,561,575,156,290,549,044,353,659,578,146,738,404,862,
050,780,275,474,803,824,963,570,641,571,269,237,724,572,735,240,020,032,578,
925,358,283,254,013,311,555,639,968,995,162,916,605,476,511,066,776,829,894,
922,206,322,720,089,771,308,645,545,230,734,116,116,534,303,320,405,710,283,
285,552,589,605,541,953,360,241,424,498,244,862,716,724,400,259,252,584,252,
478,833,224,364,317,654,057,311,449,712,192,903,103,715,722,505,562,066,384,
509,100,692,940,609,086,024,593,032,200,480,843,502,242,095,713,578,393,056,
995,972,468,625,545,230,629,478,752,877,096,161,127,628,463,467,923,425,025,
678,562,629,345,644,218,121,037,321,851,055,878,375,549,499,664,628,519,501,
503,049,613,329,201,988,922,346,590,371,691,273,557,319,984,416,384,906,894,
854,222,557,702,807,981,316,668,430,493,583,250,309,164,655,426,571,725,780,
499,505,096,306,328,283,939,416,537,210,255,392,589,369,170,540,921,550,391,
745,958,837,996,814,020,785,748,083,789,767,709,418,338,802,450,388,523,636,
594,924,060,139,963,919,667,666,378,148,987,596,656,098,566,502,328,910,180,
812,659,498,265,041,843,067,625,878,462,542,040,080,164,752,097,936,204,603,
570,257,160,742,642,973,602,700,900,882,739,296,939,518,028,014,698,130,455,
398,835,860,290,189,155,074,419,370,149,904,247,167,962,626,096,748,528,708,
921,983,893,105,038,617,016,603,007,922,348,256,598,903,795,030,296,133,458,
179,327,698,628,761,780,369,890,957,790,567,637,833,315,375,322,734,474,723,
429,319,774,822,975,757,239,320,970,649,198,040,653,809,847,897,154,206,526,
143,318,994,883,408,190,788,984,807,151,959,907,567,106,603,918,409,618,087,
209,616,684,194,647,453,784,216,071,609,979,221,720,537,752,036,293,557,454,
166,167,969,059,276,303,040,692,980,822,165,133,074,644,282,422,644,330,767,
568,473,437,094,317,486,807,247,292,789,048,956,436,165,379,378,454,337,993,
342,608,665,865,173,371,837,198,580,133,155,409,851,145,779,240,272,012,810,
748,238,708,626,017,362,844,626,554,701,691,169,735,078,023,290,309,344,434,
185,586,846,295,513,111,324,876,532,233,672,106,850,252,949,313,905,130,202,
107,775,458,481,920,977,806,373,787,738,371,435,937,539,551,594,878,341,857,
203,821,653,672,380,864,522,352,323,587,995,026,825,813,582,247,522,221,709,
142,926,304,518,352,709,564,598,426,820,844,373,425,995,367,479,771,374,340,
130,292,993,295,882,352,997,478,886,988,189,044,847,643,588,939,489,790,543,
291,958,479,564,871,212,134,306,538,929,089,799,484,081,144,347,334,022,207,
480,411,621,059,242,771,849,970,371,346,310,700,248,477,920,036,349,591,975,
465,858,150,871,713,366,246,861,974,851,443,979,769,034,450,546,662,969,350,
091,800,839,523,746,446,691,018,111,573,848,700,436,531,421,820,442,312,197,
052,999,296,211,984,385,173,635,605,359,638,049,072,122,201,470,912,774,348,
759,587,326,706,931,979,347,812,598,609,966,299,028,120,742,772,241,614,701,
003,316,683,305,678,136,032,337,141,260,665,245,391,757,155,905,635,785,738,
194,520,051,222,670,687,989,135,564,362,533,766,881,844,566,502,771,677,996,
060,577,274,184,562,889,706,754,642,178,190,260,328,034,824,438,548,584,402,
161,841,361,586,227,242,600,608,694,601,562,311,514,621,758,332,169,005,049,
866,173,452,850,960,010,517,892,995,680,024,262,015,203,401,340,383,529,289,
187,763,589,568,712,588,161,234,418,352,746,873,560,157,069,254,098,332,314,
435,863,602,929,244,372,938,505,597,998,720,351,457,929,357,568,114,235,730,
948,357,482,570,520,610,530,698,891,684,005,335,099,696,135,265,078,790,074,
350,859,012,681,794,030,074,761,957,212,810,008,789,883,773,848,697,160,515,
930,518,619,449,652,894,561,312,892,043,280,084,067,060,967,741,168,114,369,
198,513,350,552,495,575,585,461,086,217,966,289,173,305,590,071,435,865,717,
365,870,310,149,767,454,390,089,384,455,801,794,658,181,621,638,811,346,048,
938,734,801,690,139,204,978,067,941,214,529,469,577,352,130,758,598,465,071,
661,131,271,080,513,650,602,130,241,375,032,448,760,461,973,111,456,099,548,
716,469,721,728,005,526,998,175,742,757,853,394,650,939,985,987,961,076,050,
744,872,504,384,082,484,141,619,088,368,946,018,080,280,232,708,070,102,403,
395,505,615,356,562,704,211,180,336,182,800,449,846,197,566,719,019,058,369,
211,766,981,370,763,322,408,922,914,232,140,639,086,319,098,431,033,713,395,
342,761,904,258,394,896,049,184,864,529,062,646,923,346,836,736,720,083,798,
390,432,438,606,511,701,869,911,027,051,624,681,503,357,084,161,224,698,144,
250,407,052,751,098,693,810,422,749,836,602,187,985,878,995,596,768,962,924,
079,682,549,544,221,047,933,904,505,076,979,175,759,490,442,200,158,043,038,
533,254,167,155,446,252,982,347,205,145,983,933,982,728,868,109,148,230,106,
012,422,877,642,384,932,891,144,464,417,033,528,461,944,382,574,031,155,896,
342,366,605,282,603,488,013,447,765,930,705,970,080,615,018,161,654,943,536,
165,384,905,935,869,603,372,667,214,683,360,043,701,233,270,940,851,368,660,
073,317,547,328,240,153,605,553,497,093,855,905,080,456,918,783,299,475,062,
723,801,213,524,323,533,037,156,018,200,274,834,592,723,639,372,952,518,828,
875,931,444,493,618,882,300,408,120,095,643,597,642,865,063,429,085,269,407,
628,735,958,696,578,055,319,182,319,121,086,545,665,084,935,733,886,187,865,
847,961,847,480,429,075,177,777,121,048,503,500,079,984,557,362,275,228,835,
686,867,032,227,112,058,199,598,046,523,620,933,572,280,169,731,374,954,636,
702,831,788,655,550,847,309,410,186,602,043,069,888,179,273,784,363,584,395,
476,810,492,791,805,095,032,672,863,012,375,666,797,538,472,223,478,077,723,
248,576,998,286,581,167,842,639,258,543,590,006,124,905,320,851,439,487,197,
677,240,595,567,550,039,137,580,109,932,551,353,703,939,067,034,072,872,248,
745,622,445,906,702,221,644,155,640,282,304,202,342,189,617,522,987,093,270,
667,028,198,684,108,184,048,234,845,728,451,461,486,584,575,358,380,544,630,
468,108,552,886,159,612,068,587,879,979,761,656,874,805,122,747,856,559,942,
223,787,412,234,642,616,218,385,515,695,047,247,600,194,113,930,952,210,505,
141,820,657,749,224,427,395,167,915,714,059,898,530,850,371,097,419,673,570,
382,904,803,749,872,627,078,495,134,200,345,205,874,082,042,496,186,247,281,
944,944,761,829,688,776,912,063,287,294,752,991,498,455,939,041,410,609,683,
806,722,294,626,621,574,622,107,233,576,545,368,555,507,009,969,988,491,233,
858,142,150,829,975,388,812,398,061,120,327,939,499,963,930,669,534,296,601,
158,896,949,331,186,790,969,398,223,289,808,334,413,456,998,005,718,025,963,
210,873,544,714,923,480,523,034,743,154,841,563,980,503,615,895,829,717,155,
754,728,733,548,863,822,156,807,249,638,540,646,754,129,347,247,351,877,406,
269,691,856,292,141,389,968,105,697,577,587,406,290,414,748,324,315,026,484,
947,384,689,001,448,296,942,500,617,487,079,969,489,449,163,259,754,524,086,
843,185,344,076,370,776,664,947,919,132,469,816,171,423,056,373,721,273,347,
193,342,738,771,985,494,253,860,271,556,834,714,294,253,945,855,032,280,325,
946,337,841,529,600,622,921,215,469,551,991,958,636,100,967,610,591,224,151,
823,268,433,744,772,837,552,050,593,155,156,870,851,758,066,190,535,242,513,
359,659,532,424,119,276,697,730,761,823,670,883,194,781,697,630,358,731,404,
544,863,386,531,433,533,436,555,524,984,014,015,281,064,460,981,815,465,912,
618,612,115,355,240,067,310,597,478,590,898,255,668,003,771,017,664,396,776,
096,113,418,507,498,940,482,345,502,159,201,783,079,180,770,275,032,864,373,
416,355,706,744,107,550,683,148,148,659,926,799,646,030,459,088,438,714,898,
209,072,524,139,416,501,627,833,703,173,286,967,573,173,374,387,269,828,656,
379,375,564,214,007,884,652,212,119,320,804,240,147,782,106,966,931,543,462,
863,426,209,729,365,038,458,501,745,450,301,511,615,897,630,902,525,426,413,
875,674,833,938,130,677,480,636,572,605,544,553,186,703,208,597,497,551,620,
874,661,906,856,626,315,615,350,663,133,152,092,004,534,266,800,838,468,495,
054,036,787,993,549,287,783,243,892,931,176,332,520,149,971,467,194,404,984,
832,370,040,459,634,477,454,274,461,187,206,028,090,175,428,432,962,674,880,
044,732,754,833,614,109,824,872,233,880,876,804,659,005,383,157,169,616,791,
704,717,878,045,458,230,152,990,699,730,414,881,942,318,097,231,854,010,351,
034,646,527,559,929,350,245,671,651,432,146,415,334,403,616,310,916,364,725,
024,801,902,047,966,768,613,796,409,959,169,212,165,549,832,197,275,091,839,
750,530,929,740,148,821,037,990,265,193,388,955,072,459,510,986,322,809,654,
055,783,216,549,525,898,403,064,235,514,524,063,540,533,952,047,518,415,523,
783,153,855,887,335,549,062,057,932,246,925,752,486,422,151,879,815,299,982,
286,516,268,869,210,348,378,263,919,376,397,765,469,591,430,586,061,125,922,
891,434,895,577,376,341,465,160,031,749,235,475,980,107,544,498,604,693,288,
996,108,380,681,155,119,628,260,332,985,507,388,932,710,892,478,721,597,643,
664,739,978,401,345,084,115,449,385,158,466,597,150,689,534,767,244,620,056,
385,783,241,341,083,799,921,275,820,733,565,819,751,965,440,991,421,340,672,
313,899,387,042,878,190,553,153,999,739,972,243,147,703,309,216,224,048,469,
195,837,755,865,426,540,210,325,273,546,777,695,227,432,690,487,787,787,477,
644,557,132,065,046,902,675,991,273,047,192,224,349,672,307,052,320,959,635,
964,315,683,194,002,829,606,087,616,325,377,029,144,581,832,066,558,779,454,
021,999,132,227,062,905,894,175,171,071,720,479,074,207,154,943,297,566,355,
556,797,309,220,286,962,302,104,582,106,104,772,574,833,887,299,614,022,005,
615,134,436,914,136,509,938,098,851,095,365,373,277,985,853,527,439,113,523,
472,098,855,464,096,965,352,764,075,844,646,952,190,448,240,313,792,656,655,
151,123,568,524,227,397,666,922,537,768,894,005,521,279,688,637,405,631,133,
801,174,051,768,949,542,563,594,638,756,726,230,520,924,687,377,925,446,064,
191,177,432,956,403,997,677,201,703,790,934,333,108,312,611,535,736,004,173,
283,838,859,481,809,284,532,335,472,717,506,224,202,023,123,908,470,027,595,
044,303,881,262,586,959,894,853,936,088,462,541,320,683,537,732,501,165,671,
401,493,500,704,580,047,820,270,105,673,651,772,592,660,437,144,375,835,594,
899,714,312,253,414,189,633,115,515,880,310,696,056,303,782,299,050,872,332,
410,551,923,625,166,834,924,720,348,971,046,218,324,403,365,186,436,794,874,
534,664,416,170,533,463,233,737,590,045,935,079,774,916,757,247,532,557,097,
225,722,595,399,121,971,900,041,584,864,815,325,043,468,547,670,258,046,252,
360,784,387,307,488,912,878,931,214,614,568,739,883,096,157,620,532,596,665,
318,411,977,196,067,038,687,039,155,238,546,642,420,911,179,025,060,136,488,
417,612,527,315,548,950,757,539,921,424,376,919,269,407,191,003,868,767,263,
851,430,986,854,418,286,914,764,919,773,735,183,482,528,435,040,613,648,129,
998,214,552,544,832,202,573,092,260,855,150,864,014,744,614,109,052,293,099,
930,556,650,716,258,035,082,386,076,103,492,862,300,916,711,584,270,637,837,
169,119,859,472,855,422,742,321,460,670,755,289,163,871,061,688,650,853,544,
288,070,053,180,559,028,485,517,032,646,767,566,024,489,581,778,645,218,053,
091,473,805,044,791,168,306,469,689,104,433,368,632,925,071,826,128,658,265,
451,266,741,930,307,857,265,800,116,469,767,958,264,126,879,934,580,659,650,
341,844,808,618,764,114,842,012,916,590,008,783,758,255,002,731,658,205,089,
081,877,670,249,672,272,257,817,055,303,208,576,304,234,351,697,661,597,951,
588,709,531,782,014,992,864,114,630,828,548,016,090,291,209,517,147,833,624,
610,116,656,766,523,698,550,214,249,179,941,544,156,361,943,891,944,167,141,
308,205,285,864,028,936,979,674,872,166,495,791,392,821,850,413,276,080,176,
616,908,973,327,051,050,594,894,570,057,979,056,454,033,218,073,983,419,240,
774,228,606,961,122,504,325,576,336,310,904,176,120,810,847,062,560,242,266,
056,377,221,239,341,449,195,895,742,176,877,280,980,889,404,723,971,828,531,
532,971,205,036,954,211,448,814,218,166,717,574,975,141,253,355,708,877,636,
555,932,889,721,288,966,067,304,526,942,905,052,379,117,972,789,444,912,800,
937,558,488,066,648,393,688,661,396,394,897,488,360,860,197,229,353,062,972,
932,547,357,360,206,232,126,741,683,289,278,081,420,210,580,588,245,268,714,
095,834,318,843,613,211,078,115,342,955,861,814,124,197,331,478,029,259,925,
434,086,366,130,609,671,643,589,913,854,658,310,727,326,951,774,435,980,139,
193,665,063,969,846,970,786,737,811,305,688,082,001,382,943,150,845,798,150,
274,536,077,137,846,406,793,204,265,974,312,028,964,884,290,126,947,245,228,
646,451,678,545,140,600,062,305,136,520,467,776,565,040,020,580,857,560,436,
543,573,478,289,633,849,708,298,549,200,718,761,142,518,899,700,469,059,675,
390,882,673,703,322,963,025,478,333,361,674,139,363,351,376,070,476,339,952,
901,254,535,294,073,121,641,000,331,808,164,081,474,634,832,434,560,000,521,
555,998,723,608,200,758,374,872,466,146,108,138,395,258,598,265,725,363,862,
623,470,311,184,815,328,223,918,424,309,538,478,518,706,198,443,067,195,000,
497,357,010,415,464,356,482,870,544,988,318,155,325,164,866,453,417,935,965,
006,980,822,348,545,848,555,131,952,169,534,457,668,613,190,137,193,558,490,
764,735,204,979,957,650,865,679,114,272,122,088,220,816,132,296,713,843,628,
732,483,776,049,754,716,810,420,520,406,068,689,359,887,488,914,060,686,571,
147,273,390,390,327,842,426,264,471,138,465,551,833,687,423,137,340,564,541,
869,883,461,965,707,474,573,873,828,323,216,508,812,667,872,977,771,698,010,
420,498,068,844,313,943,443,105,879,468,153,018,710,892,515,835,300,158,707,
530,631,340,812,962,236,452,307,443,595,709,320,467,126,603,665,441,716,094,
848,795,663,707,316,573,757,902,316,660,350,213,908,205,381,807,603,863,126,
842,877,260,023,526,838,723,958,617,695,660,072,888,943,251,602,970,304,935,
502,607,196,272,820,691,195,188,627,168,434,250,228,006,809,529,893,577,018,
192,810,266,786,006,538,470,757,874,125,920,173,265,391,272,672,048,249,316,
581,737,871,638,069,825,127,089,620,898,119,318,330,763,318,541,916,301,722,
499,269,916,351,998,267,622,330,805,614,144,362,678,971,928,728,609,590,816,
367,979,049,890,776,301,739,075,274,766,524,722,793,156,799,139,695,384,192,
607,254,962,151,227,837,837,809,185,191,784,009,798,221,978,970,012,987,873,
259,667,768,857,543,504,985,265,707,854,198,287,622,709,253,933,550,909,788,
524,281,661,063,793,637,237,765,246,076,708,947,839,515,333,543,068,867,756,
190,537,821,306,229,459,748,652,623,559,243,456,990,033,234,183,876,916,082,
740,426,426,943,286,072,814,480,130,497,393,026,702,334,192,764,674,309,168,
773,096,831,867,023,247,187,630,105,310,401,417,240,981,084,303,090,070,091,
156,996,719,407,480,765,960,225,735,510,903,629,041,462,157,112,100,324,594,
543,225,557,837,380,936,819,954,555,027,675,195,800,167,881,943,882,142,503,
500,139,804,152,080,601,667,924,255,313,151,331,779,225,924,226,096,748,943,
096,392,057,390,509,616,152,311,515,028,159,262,318,008,180,908,127,524,096,
878,361,125,696,536,229,504,898,882,059,104,899,644,768,871,420,962,775,150,
494,558,695,238,609,518,221,372,514,660,374,468,677,039,325,536,220,583,170,
896,765,002,318,666,760,922,106,303,315,530,414,568,779,474,725,405,475,440,
590,658,463,390,511,900,235,822,608,740,027,696,940,463,079,442,837,173,380,
042,849,270,987,280,213,325,288,335,246,763,755,554,327,376,214,622,538,859,
581,818,656,967,159,839,345,414,425,053,642,977,192,976,812,010,020,031,293,
060,925,625,092,454,431,066,431,879,637,838,932,818,524,371,152,764,982,593,
663,434,241,944,168,843,049,857,414,638,592,639,841,792,135,688,988,647,770,
596,491,102,902,571,583,256,093,470,850,539,196,453,682,225,040,403,223,019,
989,451,352,795,265,245,407,781,811,427,238,190,548,586,984,956,938,940,801,
547,922,298,389,410,328,121,196,631,190,911,292,971,603,596,270,220,246,878,
021,480,326,265,563,068,519,162,361,162,962,950,162,849,945,362,688,681,420,
858,851,623,923,630,790,775,228,784,215,777,634,342,876,525,430,426,875,674,
514,770,429,040,400,940,609,816,738,831,666,602,189,011,543,773,198,382,416,
712,644,896,307,283,443,402,546,349,995,589,934,461,229,643,433,643,186,370,
476,450,311,202,231,999,858,324,249,488,081,116,427,125,264,431,887,280,410,
713,643,873,746,001,283,889,450,740,534,581,661,780,219,697,384,805,595,641,
157,273,641,173,419,658,974,834,941,330,568,141,380,360,086,227,230,523,097,
865,291,184,128,054,961,492,805,422,949,143,859,802,894,405,340,109,684,345,
452,838,354,393,551,830,133,562,879,954,872,177,485,433,096,606,442,715,512,
653,908,781,557,827,652,990,456,090,452,009,681,621,244,201,628,433,174,791,
375,099,617,825,893,624,311,378,013,249,253,337,374,906,398,551,582,083,562,
515,667,914,219,100,542,588,745,882,097,509,913,224,954,151,535,400,576,296,
228,513,842,832,084,068,026,909,775,248,829,535,400,448,004,732,693,471,629,
531,200,584,118,864,612,948,597,390,206,580,367,517,709,828,832,663,987,131,
906,682,558,268,815,917,276,854,499,197,142,015,420,981,696,422,538,560,375,
496,491,319,998,079,634,817,410,995,056,874,904,298,116,738,807,372,922,212,
116,542,266,995,284,845,664,338,767,274,647,452,951,829,516,641,926,246,967,
561,756,112,556,003,610,657,122,488,109,399,388,570,686,083,722,649,759,673,
136,162,615,297,524,392,061,557,220,903,329,769,594,882,497,310,385,833,735,
139,537,215,460,928,530,184,388,276,472,383,064,607,945,450,614,700,285,839,
620,443,947,666,046,162,067,702,376,902,807,910,066,221,725,516,391,720,337,
599,984,091,990,853,125,583,156,078,211,260,387,533,942,915,697,225,314,783,
557,953,180,088,000,268,911,888,074,770,455,712,320,327,971,988,581,846,179,
444,426,237,385,723,676,045,672,858,823,782,894,445,181,136,361,174,797,885,
863,624,563,826,752,517,828,592,336,095,145,536,713,934,078,931,119,582,704,
755,916,942,528,515,563,507,228,214,313,078,305,267,325,372,293,938,937,989,
100,649,971,361,318,020,933,336,942,426,331,783,738,818,183,532,662,105,112,
702,755,120,273,269,252,343,550,007,290,527,541,490,136,374,802,487,961,448,
887,044,553,619,655,721,399,768,779,342,238,254,090,044,702,229,073,804,811,
174,712,713,152,589,719,855,189,608,785,906,291,720,524,430,233,900,927,222,
750,272,093,939,537,667,362,254,451,952,556,663,193,478,210,146,058,887,596,
179,607,427,054,335,633,469,599,319,062,408,764,684,983,064,416,233,158,363,
312,137,956,374,220,255,140,043,332,876,729,909,696,534,356,774,261,569,982,
652,092,424,509,815,773,663,847,238,538,356,752,249,668,894,230,202,391,273,
068,805,019,130,850,211,729,462,873,146,183,933,800,323,830,223,121,836,127,
512,492,067,634,696,555,285,925,100,408,499,571,672,218,867,745,927,602,937,
478,091,542,141,994,667,428,943,799,887,729,867,223,205,584,519,654,999,126,
266,757,405,975,533,654,128,086,933,415,898,738,776,414,733,143,065,706,504,
068,458,785,797,106,196,088,294,495,712,238,292,379,247,511,362,506,404,785,
881,967,402,959,995,105,520,904,761,805,344,589,293,466,514,518,688,733,319,
763,552,181,294,766,181,080,678,321,086,133,298,465,664,744,499,979,316,494,
416,897,440,661,913,583,173,665,863,706,971,191,837,081,669,844,617,576,502,
843,168,391,709,738,262,697,281,754,840,923,014,866,489,507,831,060,038,549,
006,333,166,255,744,740,327,286,851,205,573,571,668,606,068,849,170,846,151,
116,433,857,918,593,787,863,329,148,959,455,349,564,779,489,589,828,657,577,
594,178,690,159,018,098,392,958,274,520,709,063,457,677,241,169,338,286,695,
946,337,304,399,994,055,494,950,708,669,775,985,357,204,556,104,952,472,459,
884,273,250,000,314,217,145,852,808,042,880,025,079,075,021,375,758,734,788,
762,024,813,576,098,160,285,153,995,672,661,322,142,737,696,460,350,547,292,
946,583,252,725,385,396,422,096,305,892,935,193,805,412,323,993,655,013,943,
643,787,089,503,212,027,241,044,049,792,937,387,983,394,260,824,597,929,190,
817,785,635,274,836,583,143,807,349,526,631,265,701,817,894,641,243,233,371,
168,454,403,588,771,545,610,591,619,176,839,729,978,185,462,024,536,040,755,
552,993,070,917,627,934,112,855,463,774,582,404,749,639,008,875,107,153,646,
532,110,365,621,077,711,065,809,642,472,159,240,835,644,660,555,138,511,861,
036,347,233,878,659,405,352,398,434,888,090,893,158,582,046,180,368,156,113,
542,307,543,047,803,618,587,344,009,312,808,831,328,427,178,247,463,924,980,
150,430,445,596,350,105,733,873,064,012,513,577,673,376,214,676,089,423,506,
539,972,954,675,080,375,060,538,417,666,303,274,828,003,746,934,857,591,206,
401,397,924,813,369,828,941,045,468,740,790,332,666,088,252,264,953,262,068,
975,254,448,826,711,764,919,290,191,883,541,738,233,403,765,239,210,315,326,
329,459,154,730,810,997,097,281,818,272,440,608,191,136,080,571,107,363,610,
646,537,031,579,075,103,422,292,500,686,690,784,668,724,129,421,444,013,567,
396,304,914,218,513,477,038,097,484,508,753,084,116,585,486,469,795,129,036,
786,656,524,384,652,558,014,040,738,224,650,024,376,997,536,383,496,645,082,
153,809,694,575,865,066,494,667,692,557,224,242,061,671,972,567,029,058,122,
004,753,544,056,336,589,043,932,300,126,327,179,194,202,634,682,782,583,975,
227,486,711,602,382,261,427,597,264,064,943,532,168,006,728,746,257,261,244,
391,162,973,181,835,501,811,205,941,415,909,644,929,257,690,675,583,813,946,
506,497,572,515,946,995,523,804,414,399,793,874,524,766,547,979,200,265,408,
969,111,750,516,230,121,330,056,634,580,513,506,940,717,229,137,783,340,248,
084,356,549,805,915,833,331,794,129,449,378,930,706,587,531,181,097,842,810,
968,797,879,915,767,359,127,472,973,502,472,933,927,082,403,599,709,678,063,
237,323,637,243,277,633,194,983,476,239,947,348,800,601,947,373,674,324,587,
059,301,833,165,285,218,790,307,099,135,440,454,586,630,116,969,267,955,987,
577,279,628,240,780,272,348,182,007,292,568,852,932,225,169,028,375,138,426,
256,195,753,516,228,254,597,924,926,330,330,202,027,721,059,368,184,874,349,
945,206,537,216,936,001,656,096,378,940,441,469,833,079,959,638,047,989,755,
191,585,590,527,404,827,983,139,712,446,051,052,451,500,936,823,045,571,464,
530,688,518,334,927,934,096,933,766,839,606,238,079,034,203,021,121,665,391,
526,459,928,876,053,282,144,682,473,343,728,369,682,356,878,819,956,908,646,
298,197,711,987,864,010,357,897,754,099,013,376,482,749,090,858,161,743,762,
315,763,041,719,187,977,385,247,392,533,554,309,540,551,479,436,856,184,579,
085,417,792,494,156,790,123,902,293,858,810,729,828,428,940,088,072,971,744,
088,274,298,627,143,197,209,318,417,566,967,388,247,921,237,505,083,565,681,
104,670,893,811,521,859,178,818,255,812,235,723,975,257,160,470,419,094,105,
255,651,555,868,138,497,556,160,044,569,101,703,867,205,307,159,054,273,084,
030,367,868,205,561,657,402,739,274,329,449,162,630,077,449,534,885,853,574,
419,742,694,828,963,320,921,487,129,291,667,226,046,880,705,445,354,226,631,
292,736,850,221,513,468,801,801,840,523,085,736,995,216,552,605,013,238,436,
582,675,334,643,197,770,866,653,284,613,618,582,699,956,432,635,520,632,383,
548,576,494,835,890,042,071,369,612,053,206,978,736,090,302,114,252,811,080,
543,338,464,087,459,854,615,524,426,011,778,347,475,452,718,949,752,387,124,
583,196,036,633,372,448,496,830,875,215,680,438,205,615,314,259,712,384,884,
601,664,303,610,926,563,514,570,943,801,574,681,898,068,013,563,359,304,508,
868,832,820,223,778,465,867,622,587,300,822,927,913,400,446,874,104,423,831,
791,699,688,166,412,919,692,050,245,753,514,914,803,739,555,384,587,661,395,
726,194,529,055,224,457,594,671,892,063,550,055,863,474,909,561,389,358,339,
672,840,084,408,449,920,890,569,523,937,298,877,564,970,461,605,741,931,238,
382,899,704,100,876,545,075,598,625,807,313,321,069,657,460,436,499,070,731,
587,876,810,329,978,795,267,624,331,377,376,185,213,666,097,781,637,058,365,
141,159,167,849,987,724,087,446,789,754,582,673,366,164,156,756,479,779,254,
043,946,233,487,917,424,469,499,494,071,838,123,868,442,175,223,357,017,362,
320,048,166,967,483,499,818,311,390,098,369,992,535,827,559,154,048,396,333,
828,530,382,461,027,118,223,449,042,895,534,441,771,642,316,182,000,480,069,
297,856,930,524,846,796,190,420,175,439,209,860,226,779,795,737,720,780,769,
129,348,270,497,266,470,168,171,382,959,526,017,775,152,916,801,147,041,521,
424,157,484,024,680,387,933,405,280,135,672,167,784,757,432,595,926,725,888,
193,769,584,148,889,362,636,714,126,567,610,037,892,897,453,047,761,457,078,
507,543,656,494,302,125,199,616,042,117,150,339,546,995,429,299,133,678,878,
987,927,312,074,743,233,896,352,809,548,396,625,510,682,877,442,046,638,154,
176,819,593,676,650,772,598,828,521,280,563,119,430,493,491,359,799,825,697,
713,539,535,013,219,806,392,559,942,232,930,383,030,980,787,379,008,002,984,
405,939,596,303,493,892,069,909,070,420,068,307,701,528,549,516,247,607,209,
666,303,747,674,570,529,323,482,496,401,971,984,294,163,035,731,367,147,545,
873,656,466,635,510,609,481,957,598,317,004,861,165,623,630,344,605,216,429,
930,407,775,744,759,705,727,029,326,017,322,381,551,317,030,427,726,071,548,
319,164,481,337,421,798,851,059,595,543,494,576,130,197,499,065,379,137,945,
136,492,811,754,517,257,049,974,918,007,209,598,192,058,971,169,823,784,203,
525,599,314,528,505,236,107,851,101,593,552,152,177,189,396,799,913,169,936,
517,616,424,501,119,795,119,155,098,863,024,080,096,219,676,028,975,715,830,
595,895,609,085,759,945,793,427,771,013,149,977,795,471,661,741,393,614,865,
254,733,048,379,512,604,093,361,966,770,040,202,625,030,780,849,093,162,667,
195,540,901,427,893,956,691,076,353,141,915,106,780,775,394,260,181,561,159,
630,058,554,701,930,670,532,147,053,969,402,217,571,291,014,704,058,867,703,
883,374,107,470,429,489,147,914,507,998,953,804,136,828,985,945,679,434,252,
360,875,793,473,686,287,909,538,470,090,225,002,290,174,091,305,919,264,719,
519,055,506,645,585,974,643,678,478,459,032,820,387,080,426,421,173,020,527,
372,364,348,499,690,630,670,743,173,905,560,578,895,503,036,015,920,009,785,
533,244,576,939,942,800,420,450,463,220,096,991,595,449,995,546,189,744,391,
179,245,756,815,135,594,182,593,902,404,854,077,514,371,995,169,535,093,076,
350,415,689,807,846,470,220,592,604,111,244,854,724,311,238,181,383,474,766,
379,895,995,243,466,837,298,946,158,984,893,286,024,039,200,762,831,311,304,
447,243,925,444,048,939,350,837,633,597,436,356,993,129,356,006,239,716,198,
129,827,058,495,129,153,999,052,347,347,474,367,223,695,234,965,561,970,952,
872,538,646,018,024,348,745,371,721,141,298,201,500,556,211,997,904,884,667,
937,994,693,316,361,955,993,012,331,978,126,564,849,435,167,277,250,337,040,
236,805,425,619,965,732,895,416,033,767,337,859,151,053,387,782,920,115,100,
398,178,883,391,763,453,700,884,767,906,298,447,155,588,572,123,568,760,314,
612,634,319,180,351,199,798,216,121,571,205,528,982,285,588,320,197,101,641,
606,743,630,010,813,648,933,686,862,253,085,664,059,255,790,096,227,111,438,
346,881,662,454,298,719,509,688,979,144,095,659,256,358,227,207,994,049,535,
500,801,230,181,464,919,130,645,571,167,625,665,420,928,982,213,852,263,820,
752,221,813,292,380,574,518,976,409,310,587,226,102,361,365,358,303,712,884,
009,607,158,528,133,345,820,273,493,817,420,681,990,651,963,005,882,509,525,
643,236,845,952,663,319,249,760,158,735,027,720,645,977,394,909,853,128,215,
043,766,415,697,139,845,825,488,011,755,328,963,727,395,703,889,329,834,753,
720,341,290,862,812,198,311,840,832,685,792,494,119,278,129,728,226,334,443,
000,927,106,803,051,125,348,760,427,860,874,000,725,462,281,156,763,707,533,
071,051,758,500,319,643,446,878,348,636,254,432,566,963,111,092,650,928,160,
827,064,540,400,860,306,398,222,106,672,515,418,832,728,499,377,480,716,781,
326,757,644,280,934,617,769,208,887,711,215,696,950,184,437,514,545,985,165,
109,368,821,432,179,563,726,591,769,469,057,103,317,376,321,447,041,827,967,
289,262,551,582,274,720,512,946,904,296,415,458,108,684,411,645,734,901,456,
740,573,660,262,624,692,674,830,975,730,477,287,250,602,493,308,735,320,251,
667,868,898,605,458,104,101,406,526,009,612,928,963,758,076,852,283,149,774,
341,012,910,922,806,307,835,829,533,623,307,253,918,146,810,608,023,051,963,
520,395,994,955,261,639,834,154,246,795,063,497,984,829,107,269,015,160,567,
516,370,715,995,174,727,877,777,499,763,480,591,112,439,615,019,022,206,640,
810,166,956,936,201,579,988,642,926,479,248,008,466,737,088,001,761,759,301,
129,107,038,845,403,189,634,911,643,324,377,182,951,314,002,346,177,211,727,
690,830,562,596,674,661,166,908,931,584,008,235,019,443,146,149,122,666,631,
023,365,701,264,058,686,741,310,357,666,117,835,583,612,892,218,680,829,175,
019,622,695,116,524,903,378,472,672,913,590,399,255,412,190,193,884,898,603,
694,496,077,329,071,414,788,144,590,667,916,862,399,558,130,834,277,794,503,
883,585,069,147,978,669,798,454,484,687,237,324,629,803,212,554,861,539,600,
386,848,440,269,620,515,903,646,316,359,432,452,045,935,305,711,974,716,189,
136,326,141,947,932,512,453,450,832,421,879,235,073,888,776,941,375,440,152,
800,617,394,858,635,876,866,949,203,779,959,154,761,978,631,843,025,438,164,
914,738,483,911,929,142,151,634,665,326,876,826,930,702,605,130,944,933,358,
320,021,682,201,487,594,791,426,081,970,216,387,631,247,531,038,075,454,757,
490,235,157,751,093,259,836,626,017,230,385,107,136,114,918,397,697,292,719,
810,003,306,914,100,613,927,184,625,614,852,321,928,508,671,947,955,048,021,
416,488,375,466,310,857,428,250,269,285,470,195,862,831,260,506,802,503,374,
826,024,221,560,846,418,943,762,899,989,316,508,364,976,680,435,092,188,788,
423,142,282,248,245,704,174,790,726,182,747,483,958,937,339,230,922,822,825,
290,807,988,140,069,003,890,797,409,290,373,056,619,253,618,017,649,325,377,
665,975,390,431,759,276,745,585,682,194,628,336,403,587,335,594,147,847,731,
375,468,027,883,119,894,338,212,774,435,957,852,188,715,498,713,638,313,293,
016,011,604,921,117,556,367,012,047,464,684,481,762,472,088,759,573,747,781,
152,581,865,026,098,112,644,151,884,055,125,635,701,631,316,740,707,944,590,
170,197,435,957,837,208,572,839,957,284,422,204,263,729,162,671,331,930,416,
841,852,664,506,756,192,751,990,502,511,649,143,608,511,465,399,494,908,636,
014,386,151,555,491,768,743,819,950,964,442,432,062,813,277,596,136,788,530,
156,734,814,196,173,357,761,041,952,001,478,661,755,314,222,987,002,014,629,
832,725,860,772,537,197,440,970,734,607,502,515,600,077,696,447,976,140,823,
396,675,988,979,431,572,494,944,518,925,910,518,588,734,143,182,830,804,168,
221,201,884,636,109,085,229,610,234,426,310,219,898,270,497,457,458,145,511,
634,390,820,450,331,852,435,592,638,146,284,268,171,733,290,083,554,115,354,
463,430,151,053,250,773,113,751,311,283,942,395,867,212,893,352,196,597,661,
467,583,665,807,912,965,960,577,304,808,205,260,698,739,755,635,357,497,563,
328,204,692,862,179,278,351,035,798,635,542,972,440,612,338,844,183,681,242,
629,324,520,476,530,561,598,618,880,158,229,425,745,394,878,003,837,449,057,
754,134,161,705,090,822,387,882,317,603,005,656,187,063,536,744,659,516,990,
134,617,529,938,317,153,476,225,701,608,964,414,601,256,401,459,600,482,609,
482,305,231,140,681,572,250,793,748,329,218,346,150,984,703,513,587,247,672,
171,492,239,994,479,886,549,182,895,120,511,651,936,808,721,263,757,116,694,
551,082,019,849,935,005,494,824,780,463,899,107,505,907,112,635,380,174,465,
049,105,605,448,289,744,305,130,984,862,550,580,876,097,974,391,919,241,090,
699,531,699,899,408,039,428,947,104,872,065,404,757,270,023,167,431,333,016,
015,257,409,221,195,332,591,672,951,489,932,933,434,617,839,377,438,599,076,
175,426,430,039,208,071,873,013,474,426,749,228,341,267,203,314,825,684,565,
429,729,178,109,498,529,797,251,012,406,779,904,849,198,814,064,076,735,411,
717,032,655,620,163,923,500,405,830,295,065,397,033,571,800,437,366,521,655,
167,973,149,030,924,950,485,981,786,638,481,061,607,291,349,997,288,855,095,
587,120,064,094,352,592,484,125,348,285,615,807,730,550,925,370,218,061,650,
685,661,044,158,039,277,529,860,616,138,809,355,251,976,433,094,714,566,951,
397,997,060,504,525,193,537,625,633,821,115,770,991,286,806,866,544,933,853,
029,465,514,198,299,651,170,382,107,461,697,669,777,596,679,370,904,019,585,
677,998,363,557,016,899,772,884,169,420,140,665,945,090,885,646,773,440,943,
911,073,004,535,822,468,516,143,106,936,511,493,807,563,107,223,845,544,568,
860,961,618,061,435,570,554,791,295,667,764,851,400,321,133,848,810,573,607,
226,873,313,146,833,691,843,178,934,173,914,955,582,866,866,607,223,625,215,
627,383,850,300,612,498,464,483,453,462,583,534,159,608,063,942,117,883,882,
642,633,611,536,574,818,756,929,350,555,042,063,858,277,544,316,259,764,352,
758,642,835,957,507,884,610,855,954,771,932,036,434,401,065,981,338,474,765,
545,020,054,435,840,318,528,252,561,443,428,916,588,981,876,085,741,982,044,
555,364,288,353,141,370,141,487,495,469,087,969,069,544,087,250,592,371,692,
703,350,767,910,899,826,065,682,417,738,379,150,370,253,842,624,448,379,542,
407,821,144,825,701,091,242,292,443,682,919,745,724,919,972,685,869,865,101,
207,363,385,130,913,195,555,565,970,949,235,575,599,384,129,291,532,411,477,
900,985,352,576,793,814,812,705,163,845,741,461,009,535,210,536,031,414,619,
309,837,908,341,329,721,927,259,692,936,356,151,815,537,695,967,950,021,300,
949,867,837,608,530,556,471,561,675,409,505,379,613,941,654,179,149,921,366,
451,825,894,997,001,798,243,614,187,694,076,098,545,368,228,174,870,735,386,
667,622,487,828,573,446,069,598,209,519,618,868,132,276,053,440,324,030,462,
699,878,478,300,559,835,187,486,537,446,870,279,698,947,363,253,900,920,609,
242,521,349,008,424,761,175,187,391,119,673,211,378,885,145,438,849,958,921,
488,694,637,063,040,907,448,683,401,771,197,764,870,210,795,212,029,592,102,
742,080,167,069,132,470,117,890,146,439,483,869,920,446,557,672,651,084,148,
479,013,635,634,460,935,150,306,358,640,693,186,697,216,238,984,383,002,934,
434,555,783,581,561,468,435,462,009,565,815,765,663,574,267,940,621,596,484,
218,860,946,776,797,692,950,455,923,877,780,120,039,196,411,010,334,516,056,
435,809,396,697,136,928,810,027,157,633,790,653,426,381,456,878,479,543,076,
541,062,538,151,724,893,646,280,856,950,732,965,022,185,042,804,736,232,841,
906,294,600,738,599,497,530,246,137,483,497,208,944,436,808,037,280,048,569,
906,232,682,632,179,687,024,999,429,984,610,104,926,175,411,128,037,589,848,
510,302,713,058,419,413,808,083,172,104,529,071,536,418,633,343,522,114,253,
801,296,372,577,913,366,701,378,986,230,715,447,500,823,830,590,255,614,145,
383,124,462,001,911,516,631,746,480,681,299,166,287,779,408,246,681,744,074,
058,914,672,935,015,043,681,438,965,634,932,793,925,222,863,572,883,048,941,
356,072,377,679,262,365,565,931,604,530,982,580,637,556,129,416,304,205,664,
721,009,000,912,762,672,555,825,600,495,482,968,923,877,121,119,834,569,767,
987,850,637,900,087,074,740,701,519,381,219,535,572,735,777,947,226,096,407,
596,973,466,724,205,085,555,276,317,949,389,455,039,371,717,333,992,068,583,
117,402,050,371,120,884,348,416,965,108,780,768,760,227,964,499,424,322,633,
469,658,598,393,204,351,241,774,898,739,589,312,610,464,832,730,903,850,652,
094,166,405,085,779,997,628,043,974,130,912,804,480,847,584,592,930,252,405,
647,514,194,555,858,476,965,305,936,406,792,870,125,651,612,482,955,649,367,
542,896,734,360,403,487,193,299,012,870,633,994,668,910,077,663,246,930,399,
817,231,793,790,020,560,294,439,895,994,989,760,761,571,976,045,062,449,324,
141,047,063,934,220,409,409,952,701,848,206,726,205,670,572,508,171,809,273,
336,319,215,008,543,925,681,615,378,984,074,530,187,819,860,643,174,753,318,
591,880,154,269,741,157,091,269,912,079,483,370,195,858,022,814,400,441,163,
582,479,646,940,432,410,665,125,631,876,643,295,517,265,932,059,032,055,440,
845,754,621,421,375,446,189,694,308,346,515,719,648,816,614,133,207,116,073,
315,154,398,685,846,316,404,447,117,048,891,911,664,562,456,529,533,481,467,
422,428,553,418,864,199,250,866,363,521,987,717,588,362,598,401,968,719,722,
881,516,792,226,127,310,834,493,762,443,120,461,768,555,068,693,708,988,782,
679,433,336,726,280,361,491,413,548,338,527,962,553,528,665,758,481,206,027,
321,001,266,365,856,510,517,096,989,231,951,591,807,327,751,370,644,557,822,
141,105,699,611,095,333,906,274,147,393,998,029,894,628,965,272,842,754,799,
487,793,677,165,834,679,635,134,624,414,732,316,446,490,800,226,426,463,503,
508,711,651,397,658,980,124,579,101,489,027,192,637,809,194,613,172,640,833,
383,079,071,538,012,882,523,513,292,573,558,164,116,988,623,314,118,819,872,
721,718,539,195,533,091,500,494,843,410,103,444,505,420,288,460,565,525,445,
373,308,525,911,482,063,931,585,422,597,213,825,265,018,498,695,583,979,733,
819,992,752,176,769,238,818,052,953,660,706,896,762,728,389,435,242,529,264,
343,608,649,437,255,141,747,143,547,268,119,257,895,252,247,331,025,029,477,
512,598,039,072,190,725,905,747,895,474,572,341,631,200,471,711,074,768,331,
057,474,674,006,023,277,497,732,420,481,787,854,878,930,125,289,334,265,496,
080,164,614,564,544,627,055,390,752,456,370,768,918,801,859,167,176,743,677,
619,029,034,529,942,440,185,876,529,935,306,802,017,686,248,557,801,628,403,
920,847,142,620,016,371,845,451,387,868,325,532,889,805,235,840,793,730,495,
692,263,102,041,924,156,082,512,662,591,084,925,475,658,246,836,311,739,074,
540,644,418,692,130,925,296,077,992,908,238,786,017,338,065,931,572,345,950,
325,968,581,683,766,742,702,372,846,379,949,729,916,423,510,106,502,689,593,
578,301,675,552,593,432,527,889,381,845,277,212,028,938,559,067,137,341,159,
340,449,847,601,907,417,966,246,781,134,221,042,088,854,474,824,810,842,899,
869,904,990,484,766,374,178,707,043,086,748,087,892,752,866,121,415,839,312,
298,987,665,535,597,279,829,566,182,485,428,229,705,210,445,665,645,949,931,
003,917,722,751,631,486,279,693,086,844,957,996,800,572,450,495,285,601,386,
709,695,003,903,123,613,888,086,419,021,407,124,046,118,104,737,478,483,446,
656,666,825,269,423,313,153,134,013,351,785,735,648,095,219,814,141,201,671,
730,976,602,318,357,094,235,944,703,991,642,736,307,112,238,720,868,292,296,
582,716,874,360,476,154,120,264,496,382,320,850,351,641,627,134,809,223,572,
667,489,891,705,607,586,848,506,019,970,469,396,324,841,343,409,691,521,900,
123,232,462,130,583,059,766,316,259,120,424,423,549,363,878,200,781,014,736,
165,732,987,997,861,687,210,865,823,909,214,753,132,783,170,493,914,993,679,
756,330,924,529,195,947,701,426,202,827,231,405,683,506,299,457,306,300,337,
498,391,269,951,086,802,218,877,495,943,426,698,229,997,797,492,163,475,988,
043,727,804,029,327,478,086,742,726,012,663,782,794,265,638,929,840,708,748,
505,389,671,661,393,672,439,855,443,332,817,255,800,476,261,079,910,897,834,
569,646,195,139,647,762,002,787,473,433,629,455,979,679,035,117,042,872,514,
217,509,643,524,001,944,087,518,382,505,198,785,283,267,024,829,193,416,281,
162,064,712,144,578,815,399,510,089,961,228,221,660,242,190,973,724,563,319,
968,737,545,669,590,486,813,127,658,522,978,931,942,263,125,304,070,972,781,
423,072,029,757,647,045,554,313,495,998,046,957,621,519,611,141,187,450,995,
282,146,342,268,607,187,925,049,775,337,448,573,289,389,265,673,085,644,278,
528,022,118,701,262,641,849,869,917,516,832,684,331,890,207,229,947,402,566,
123,020,716,613,263,613,129,573,699,960,608,295,586,311,567,650,450,557,566,
961,192,230,785,424,073,338,288,512,625,337,978,292,777,321,903,268,394,098,
985,375,016,976,974,033,575,416,629,879,102,365,659,736,834,803,435,748,437,
934,161,600,582,272,354,011,782,597,782,582,481,755,150,288,743,163,180,410,
304,952,348,675,434,612,148,205,329,888,686,750,234,442,620,663,666,586,165,
075,645,717,596,246,141,289,649,909,521,001,052,650,206,042,121,430,190,435,
178,571,324,176,762,363,136,817,849,985,921,876,455,580,685,853,876,093,675,
367,067,877,284,053,068,286,803,295,433,305,157,951,988,241,810,625,510,709,
410,938,837,314,815,706,252,407,535,580,727,019,974,234,375,947,155,620,211,
517,686,233,014,527,395,043,939,322,236,759,845,109,358,609,676,314,922,038,
467,355,873,045,407,461,085,262,260,007,679,906,132,875,195,125,258,777,238,
130,823,782,655,388,957,947,295,460,789,477,994,599,889,913,795,051,709,713,
761,398,897,522,357,852,224,763,335,571,907,487,009,041,210,410,035,003,457,
007,158,611,343,005,800,492,089,042,396,515,454,335,389,419,003,679,448,395,
460,271,275,350,185,371,484,996,561,671,256,852,844,291,904,805,762,147,855,
413,452,688,885,527,177,224,472,703,992,875,557,552,197,152,642,152,548,176,
224,310,300,393,569,663,097,803,962,342,914,530,426,446,478,789,154,939,319,
793,697,126,762,718,434,879,761,226,053,591,854,120,380,344,159,199,511,609,
133,591,144,628,475,327,975,752,142,724,910,817,098,346,451,274,917,783,937,
836,190,739,607,212,647,108,945,139,625,670,335,723,695,160,709,331,866,572,
859,311,211,972,305,108,792,501,906,625,238,103,619,509,366,966,650,922,081,
537,055,036,559,092,582,539,744,144,192,868,761,955,349,063,475,401,595,948,
768,833,849,798,140,431,626,733,946,565,473,142,483,801,571,341,089,512,112,
684,989,592,195,333,866,608,328,888,371,411,090,713,186,390,448,339,258,122,
764,719,107,087,772,763,456,563,201,874,327,015,032,443,981,379,324,783,576,
221,670,473,696,448,310,835,717,772,950,217,593,948,514,487,948,235,098,258,
487,008,308,410,974,651,422,699,580,467,012,714,061,693,605,712,124,996,901,
659,318,770,845,889,572,272,234,620,451,006,094,390,538,334,739,698,778,112,
295,940,717,226,069,593,583,909,262,504,951,521,389,913,214,032,977,999,137,
340,573,800,352,060,298,967,110,083,118,562,319,715,220,339,697,684,244,660,
960,118,270,383,213,710,257,266,888,524,966,289,860,988,093,845,470,231,671,
444,969,076,708,503,685,894,062,373,103,167,444,433,554,675,175,107,318,067,
087,899,604,812,161,772,917,907,753,757,317,576,381,231,813,831,243,524,161,
769,673,776,255,640,976,534,781,673,953,546,810,782,743,643,844,423,162,409,
726,246,742,688,635,068,768,410,104,025,404,431,128,588,868,576,829,352,614,
898,388,505,080,040,141,646,772,793,927,675,872,949,731,475,421,160,182,482,
656,603,955,724,244,838,980,798,648,974,330,792,259,394,158,337,148,505,716,
865,119,476,184,638,832,568,745,209,154,926,375,992,885,155,011,507,520,666,
295,872,691,494,129,420,157,218,160,141,109,312,572,963,182,466,103,038,068,
108,756,614,637,614,166,183,136,892,137,098,756,302,684,095,424,148,409,062,
682,035,114,025,228,651,881,670,608,095,610,367,402,827,647,992,360,449,500,
582,833,149,006,499,901,105,639,279,748,944,251,890,020,691,378,336,201,425,
903,038,896,400,567,273,053,966,286,365,845,254,721,428,731,009,872,551,237,
213,290,726,048,972,676,510,297,312,298,491,663,839,077,164,911,377,428,683,
683,151,447,120,446,597,632,395,482,064,639,490,733,045,528,489,540,579,225,
070,746,001,209,578,086,878,427,618,868,279,882,901,886,527,274,471,267,248,
709,646,255,616,375,988,675,776,937,762,526,767,841,544,585,031,622,541,072,
054,036,837,652,345,237,261,392,694,846,107,031,837,270,899,351,032,354,518,
856,509,961,794,381,417,436,648,755,739,164,440,798,984,567,492,920,860,012,
464,039,343,894,628,680,483,949,714,115,851,784,819,894,273,819,954,355,163,
348,899,438,247,253,637,456,154,477,692,046,873,956,580,643,882,511,210,879,
622,050,708,746,801,321,667,455,692,007,077,374,694,654,539,145,233,492,787,
087,835,061,281,653,046,249,528,258,244,077,456,052,929,524,680,047,579,658,
117,894,676,404,809,066,965,704,126,754,116,606,828,714,632,776,771,372,488,
942,289,478,731,012,128,309,863,893,892,189,834,334,411,617,405,232,287,720,
419,585,213,755,274,047,474,807,665,516,603,602,608,157,611,054,687,986,652,
622,862,913,651,972,139,653,942,615,833,099,513,262,015,401,215,313,195,454,
330,279,719,202,543,040,433,296,913,222,904,264,306,670,987,465,459,778,771,
793,841,003,431,829,888,801,246,645,727,473,417,575,195,581,228,345,860,368,
648,425,146,087,282,092,561,174,561,309,979,449,519,955,649,047,055,623,744,
570,464,776,318,336,317,339,857,996,093,331,444,916,885,921,181,244,317,777,
256,769,291,538,149,659,642,990,164,521,742,982,933,040,647,380,688,688,980,
782,943,384,444,728,266,611,126,406,542,613,410,550,201,980,115,421,787,529,
922,914,605,456,316,347,189,785,226,421,754,898,270,892,812,001,385,595,228,
077,225,409,199,415,481,183,113,970,090,291,457,421,119,628,166,043,072,770,
414,884,545,483,935,746,395,954,222,319,355,078,015,684,791,307,628,428,433,
355,757,541,133,995,940,206,685,722,004,944,138,568,240,213,430,438,831,830,
687,170,523,564,197,701,881,369,388,836,290,190,354,308,769,122,869,889,623,
301,005,677,947,584,168,971,021,175,470,484,936,657,428,329,180,449,477,306,
695,415,655,437,201,446,813,980,733,707,218,510,726,916,194,709,148,972,567,
647,119,241,183,795,410,552,389,386,578,420,948,583,495,400,786,662,650,725,
001,903,980,877,766,843,409,842,204,232,384,696,632,960,778,838,280,120,719,
434,211,579,770,789,902,278,636,258,437,701,418,578,821,082,440,317,683,417,
450,106,424,994,560,706,216,216,826,628,219,809,642,536,366,014,574,142,291,
976,022,511,144,585,767,040,002,310,811,301,947,759,346,025,258,560,788,408,
055,573,952,783,902,482,058,363,590,218,609,249,933,429,258,156,851,259,066,
796,857,005,394,229,489,359,277,824,061,074,949,039,076,177,887,377,907,924,
879,662,678,489,791,059,030,248,042,947,207,967,752,388,646,286,957,865,614,
417,255,613,580,117,893,023,261,137,838,588,136,606,638,629,609,165,776,513,
541,581,998,946,183,489,407,966,132,229,664,809,249,085,295,924,039,244,310,
087,243,835,450,204,354,033,840,692,868,941,043,010,250,134,465,627,049,630,
067,612,183,190,579,490,406,388,002,709,489,962,812,982,622,739,179,987,767,
359,809,246,217,019,677,735,467,305,713,776,463,091,187,665,067,013,692,493,
837,847,566,593,817,577,731,786,013,299,983,216,390,009,297,063,194,996,001,
227,602,528,992,382,033,623,991,926,207,819,614,178,957,188,832,502,812,046,
395,421,775,919,623,902,626,214,379,488,782,278,463,381,074,246,309,941,251,
202,921,022,767,068,758,151,307,488,457,459,691,900,461,139,495,893,121,516,
743,183,493,916,438,845,136,046,529,623,291,961,029,827,540,401,253,027,902,
117,187,362,886,909,828,549,768,131,699,381,847,740,705,253,225,326,024,589,
964,976,944,010,494,014,510,943,152,000,866,861,987,727,546,080,493,860,355,
881,127,187,350,635,881,359,786,096,174,745,132,369,289,617,917,249,463,361,
487,815,893,894,784,549,197,225,486,242,284,288,518,751,240,867,331,546,479,
396,866,791,604,276,759,772,311,954,142,696,327,841,444,438,986,214,925,123,
397,012,083,215,262,984,982,458,083,724,033,368,418,436,978,006,025,703,918,
150,720,824,051,651,851,420,719,496,126,779,391,091,675,555,869,285,240,049,
067,260,082,194,464,136,536,314,231,652,654,526,129,179,933,562,943,171,948,
880,141,098,445,996,139,041,845,000,233,931,469,104,783,011,881,205,725,695,
615,887,191,947,809,978,218,552,156,210,201,161,710,819,408,868,250,236,185,
098,653,282,640,083,517,129,579,750,304,272,015,378,440,281,680,172,552,942,
074,387,618,999,924,925,664,962,665,150,389,451,100,833,313,238,987,084,942,
047,722,138,866,038,860,966,772,151,650,999,212,042,300,086,749,692,896,257,
118,616,264,628,091,999,219,899,310,875,594,836,063,386,342,385,575,979,405,
712,377,585,406,940,434,310,585,866,011,320,773,375,859,622,790,624,917,623,
822,022,490,044,860,251,476,473,998,728,797,474,960,632,440,036,075,618,998,
265,291,882,715,628,959,419,876,769,045,786,337,121,842,109,324,118,879,952,
479,397,236,183,302,289,318,244,953,722,507,462,642,059,193,241,429,308,460,
986,732,172,972,068,925,855,075,687,801,595,905,132,199,986,616,628,638,948,
714,279,815,816,595,346,889,948,167,340,397,074,400,841,602,519,674,008,335,
545,902,862,917,629,030,864,458,127,365,696,924,914,459,013,777,300,298,424,
979,907,361,158,319,817,840,319,085,746,467,345,534,233,742,100,418,119,212,
978,507,585,863,849,309,111,190,439,117,678,813,275,688,112,008,388,394,010,
378,162,279,772,106,387,041,356,565,110,890,915,079,672,563,018,249,097,101,
169,276,659,227,928,963,453,915,498,724,489,450,791,171,425,887,068,318,206,
852,618,764,740,042,737,117,755,915,691,039,512,266,412,628,262,207,305,573,
231,132,475,558,904,116,841,995,184,197,189,366,695,163,171,005,277,529,520,
572,882,453,808,470,441,303,353,625,184,057,027,940,870,191,625,142,048,822,
946,331,750,093,444,706,308,958,755,590,400,891,216,756,456,623,735,810,384,
812,356,756,881,206,249,055,771,836,726,267,909,656,110,867,393,860,798,087,
951,128,275,479,718,499,181,176,812,924,297,510,481,912,119,634,147,010,575,
617,236,349,602,366,378,094,612,293,260,133,906,738,717,329,558,011,636,320,
011,913,588,211,790,145,272,395,940,196,713,581,373,930,642,502,193,332,398,
254,368,084,407,661,297,864,092,314,770,553,456,515,320,832,383,998,426,514,
798,755,058,480,314,358,293,037,911,952,563,502,977,501,140,803,658,214,785,
491,817,706,930,372,856,465,099,988,912,735,139,470,648,038,255,332,012,529,
901,141,372,115,926,196,052,035,361,766,526,714,352,430,372,489,580,233,235,
625,395,992,770,213,153,040,427,946,517,234,688,744,577,492,567,650,222,829,
059,132,698,633,827,973,971,507,942,774,105,617,822,666,998,181,418,464,398,
783,347,166,645,647,389,580,083,807,996,798,551,156,266,485,107,848,227,940,
846,376,891,784,014,506,827,157,226,574,712,713,387,382,773,290,776,879,958,
128,012,714,373,574,378,794,512,740,262,368,898,101,970,891,929,726,884,818,
377,328,948,334,637,454,305,714,889,464,828,451,530,468,119,649,619,827,186,
526,713,330,415,656,427,465,042,304,080,048,316,524,417,349,168,059,315,021,
168,950,392,261,847,476,030,068,804,784,986,643,554,835,583,110,689,023,301,
440,537,388,925,671,328,886,435,835,484,512,551,060,940,081,822,659,929,083,
308,022,669,391,926,537,846,757,639,043,838,403,528,928,780,194,325,911,697,
894,526,275,530,915,283,112,427,344,408,994,554,026,991,261,934,485,598,894,
903,945,589,249,826,092,969,993,188,329,597,208,053,128,764,719,941,403,825,
328,613,839,168,146,149,514,820,698,235,099,495,621,482,507,275,378,672,815,
566,563,598,769,342,838,394,929,548,211,989,511,011,569,931,766,680,473,673,
556,680,281,406,941,672,258,919,863,163,413,379,361,628,689,653,407,284,258,
750,044,064,343,833,307,252,393,006,399,696,066,238,295,040,612,002,725,652,
953,939,096,284,411,041,567,110,773,836,447,249,569,627,302,361,920,001,647,
331,213,160,444,289,773,564,514,132,103,945,217,953,756,642,715,740,510,604,
290,694,230,460,542,332,585,809,649,276,505,982,789,405,243,415,810,844,665,
960,957,351,014,865,524,377,509,511,034,094,612,152,251,250,815,280,862,593,
475,126,166,965,859,544,090,744,985,154,527,214,691,099,843,694,197,094,676,
663,262,461,892,478,724,476,496,162,801,112,010,097,956,222,820,747,410,206,
917,796,032,561,345,076,321,198,382,973,961,833,271,365,323,473,968,534,194,
749,678,724,532,260,806,642,852,175,294,862,926,484,093,641,886,189,293,841,
618,750,331,022,960,222,932,188,294,537,899,276,642,292,771,481,827,789,676,
520,757,522,235,831,859,504,339,838,306,358,182,425,657,555,687,267,052,443,
460,289,981,647,304,177,553,671,401,834,548,655,224,182,639,822,983,547,494,
874,579,751,197,516,035,320,875,570,528,632,982,495,238,168,115,383,010,383,
569,294,069,539,602,191,762,653,524,475,848,722,744,326,415,029,974,474,948,
386,558,808,614,728,667,136,985,818,217,909,285,078,030,108,441,821,509,428,
055,854,612,816,157,141,701,875,987,015,606,328,009,092,893,878,229,856,886,
882,247,358,482,186,456,095,620,268,926,781,666,824,739,319,647,646,674,022,
485,816,746,735,133,872,964,587,478,393,665,682,177,425,799,085,744,650,989,
127,651,404,513,144,086,087,944,620,288,888,032,563,562,592,372,398,091,929,
107,928,178,569,326,851,937,036,848,032,691,323,640,110,545,715,008,233,534,
888,776,367,941,438,989,363,412,507,818,935,895,559,130,875,923,946,663,489,
893,468,449,991,346,921,961,019,502,299,997,505,278,019,999,461,792,488,617,
999,802,405,199,645,624,707,882,166,047,162,060,379,909,115,667,870,994,626,
462,363,004,241,619,447,641,812,476,954,140,717,380,257,022,291,130,203,105,
758,893,687,021,034,398,379,160,509,722,663,439,744,826,049,446,488,409,639,
467,590,346,686,884,699,575,628,319,582,998,905,535,163,572,935,884,465,434,
583,321,830,496,628,829,912,868,706,484,778,194,467,401,835,734,672,768,815,
197,433,388,895,465,510,913,995,733,616,150,249,743,695,293,318,070,466,615,
026,368,848,954,596,316,304,235,454,671,171,382,880,021,809,636,839,195,912,
290,450,141,255,938,420,592,824,260,103,412,104,386,287,604,648,015,954,212,
628,458,506,906,223,117,726,611,475,787,982,282,321,181,024,410,130,269,460,
093,623,081,915,164,128,012,030,602,702,593,357,182,559,746,373,966,147,075,
703,779,560,266,808,046,696,825,559,511,530,092,350,248,778,833,910,614,335,
881,501,982,531,312,669,571,475,954,005,211,985,478,472,293,135,905,869,281,
754,405,077,741,300,406,264,841,731,407,944,667,167,825,606,141,520,026,861,
524,716,618,757,763,166,271,548,959,241,721,739,809,379,413,088,300,389,131,
744,395,931,081,152,065,423,807,583,841,038,920,356,569,123,726,003,362,067,
834,521,347,490,217,043,928,149,528,373,549,835,374,610,699,306,966,402,453,
596,794,065,162,995,138,540,224,019,710,043,158,093,389,153,776,962,817,035,
796,133,599,830,976,232,992,031,697,720,902,367,843,668,719,620,341,864,422,
391,643,916,948,128,645,725,683,246,376,109,747,618,604,787,090,649,802,566,
395,153,500,573,991,677,820,391,775,887,146,109,360,314,553,108,697,196,152,
714,683,908,003,186,226,518,412,599,380,518,795,737,684,130,229,534,398,541,
980,134,381,240,055,693,402,777,439,854,019,260,596,083,377,607,142,395,177,
928,864,614,531,837,935,394,505,051,049,908,700,768,240,214,758,896,854,107,
789,137,246,057,195,793,637,131,275,127,066,325,140,273,489,725,438,390,660,
217,351,327,567,166,638,194,568,468,014,636,195,864,678,096,867,891,488,116,
018,260,116,266,595,010,666,055,547,403,178,395,791,857,046,309,633,436,398,
146,433,594,428,776,838,118,600,995,075,255,171,946,359,168,499,974,599,160,
840,488,849,763,647,924,352,565,920,863,750,709,966,693,195,631,254,268,578,
133,443,592,073,572,084,792,766,991,507,635,488,822,946,568,425,814,954,739,
978,727,059,811,036,338,533,526,337,657,756,233,700,023,689,604,711,243,634,
136,498,300,802,283,240,267,186,225,202,735,798,678,583,385,687,047,488,593,
294,570,875,922,404,596,212,877,998,802,903,006,118,509,507,576,207,357,886,
642,564,144,241,698,564,078,174,907,606,014,399,257,249,104,743,373,243,973,
323,866,344,739,194,342,478,168,760,023,680,252,177,385,686,542,553,931,731,
708,356,626,133,403,462,585,381,117,321,337,818,714,022,671,346,401,448,439,
976,029,881,288,226,972,969,089,640,802,313,791,963,503,479,469,093,520,221,
955,953,909,689,686,922,017,162,855,707,886,141,807,175,840,468,398,374,608,
993,074,865,884,085,353,014,571,860,515,625,773,012,136,762,618,023,832,848,
643,994,556,156,972,895,454,195,886,350,054,189,194,135,860,794,899,651,076,
521,341,562,067,988,942,396,003,416,316,907,695,105,662,346,133,864,151,492,
101,440,526,629,604,262,164,450,430,042,512,347,816,791,734,798,802,605,007,
212,906,909,042,962,678,040,609,635,516,007,424,434,201,038,974,501,429,458,
194,642,215,090,283,030,472,329,629,953,480,520,890,438,667,079,596,181,833,
164,513,495,577,443,353,520,277,227,804,210,266,046,502,397,584,346,122,675,
501,847,285,096,585,231,559,731,724,607,942,626,088,668,425,111,269,617,884,
726,236,590,448,750,527,893,813,429,995,529,493,896,958,176,792,415,157,556,
346,585,088,162,371,245,315,502,971,968,906,498,875,503,220,274,949,934,897,
021,250,658,859,643,091,683,263,331,069,036,813,687,420,547,689,302,441,982,
606,109,702,893,444,835,883,641,362,535,343,006,732,245,846,370,423,612,526,
918,276,310,939,211,884,432,327,606,728,219,304,950,862,929,594,623,606,955,
897,476,065,563,296,345,070,691,311,122,383,955,254,510,985,065,941,118,360,
817,251,969,059,586,846,103,387,793,460,673,101,363,584,026,497,669,755,715,
068,397,899,767,683,044,678,443,435,201,939,286,917,919,516,154,126,372,561,
008,012,042,061,463,820,212,717,641,818,665,290,058,203,502,180,184,892,841,
594,194,480,332,021,310,981,283,013,569,952,592,327,236,185,564,665,975,712,
731,219,444,573,211,679,871,740,499,152,227,061,111,795,501,366,475,405,287,
775,820,290,757,658,114,216,570,061,463,170,724,228,888,532,630,423,404,147,
817,253,621,104,928,848,422,490,718,178,610,708,541,995,982,711,732,237,904,
996,922,232,814,969,454,569,375,344,161,119,780,541,783,399,189,217,036,620,
447,599,481,971,702,826,235,985,692,418,155,747,249,000,848,876,965,279,254,
380,232,343,130,969,993,144,924,286,369,250,649,565,511,102,158,373,418,606,
085,720,381,494,920,852,905,831,240,407,269,318,108,541,200,837,299,938,142,
544,908,246,810,353,061,259,158,140,894,685,658,570,053,349,088,759,721,250,
572,059,617,529,436,936,699,152,383,649,048,936,281,587,268,495,698,713,239,
910,790,487,056,821,022,430,468,210,613,819,180,955,390,329,526,819,362,294,
869,327,867,024,288,482,579,102,975,202,406,010,181,346,613,642,021,521,883,
326,146,047,572,127,480,433,441,020,376,378,692,852,557,903,068,532,476,889,
682,810,492,771,075,288,797,901,984,673,590,820,072,552,430,549,654,314,163,
287,925,071,581,323,218,593,338,206,022,269,552,691,176,702,128,830,288,076,
532,946,900,073,721,047,603,943,356,445,664,101,558,863,733,597,973,581,679,
890,665,802,708,996,542,887,125,879,595,897,140,101,811,170,258,714,714,417,
284,597,689,851,801,392,656,706,969,502,414,750,640,228,188,645,501,641,498,
154,597,278,050,057,447,001,152,986,772,084,292,592,607,437,928,756,644,672,
268,544,274,272,830,139,975,029,480,770,266,959,141,659,582,792,491,850,124,
767,172,716,312,915,955,711,338,234,207,274,002,076,220,430,353,695,298,087,
089,633,920,781,201,143,219,166,053,693,747,964,454,011,006,334,030,583,327,
396,859,240,191,837,971,435,018,159,840,314,417,413,800,481,501,926,582,703,
387,172,224,978,847,989,163,527,776,349,657,190,692,778,599,761,008,770,321,
198,295,506,710,691,966,098,253,014,057,368,261,635,185,933,342,026,442,257,
587,277,799,617,178,581,017,510,230,122,133,147,796,309,872,121,971,607,432,
727,123,441,832,803,912,323,637,898,644,347,136,995,398,043,398,596,500,508,
739,955,145,256,938,417,672,797,332,828,600,420,683,559,278,569,219,142,928,
281,949,147,064,723,180,136,158,011,378,979,230,831,762,655,178,512,700,049,
932,544,482,510,054,356,914,632,783,232,903,125,617,105,342,852,087,308,879,
483,441,662,642,427,908,785,428,343,194,944,060,391,062,426,426,825,493,879,
823,914,796,043,238,608,876,962,196,390,813,844,724,972,681,626,339,277,413,
313,603,283,297,918,775,383,466,378,375,464,931,767,034,045,327,243,551,343,
762,893,991,466,939,119,715,691,993,924,834,227,448,588,502,267,666,587,291,
963,700,716,956,487,934,290,919,107,807,801,043,913,268,046,051,361,559,728,
421,360,255,136,694,582,647,569,736,586,106,289,596,619,952,748,968,878,816,
191,621,375,529,698,333,827,870,382,750,359,523,442,459,636,329,873,225,208,
299,037,822,071,911,764,748,348,354,319,807,671,167,980,920,700,698,761,277,
009,113,638,114,700,261,428,400,496,626,420,188,106,257,714,104,316,859,801,
604,935,976,939,479,354,267,428,041,474,802,118,912,199,166,126,338,573,020,
892,285,380,492,407,487,085,425,715,768,157,196,701,522,635,459,424,554,127,
793,839,787,331,892,238,007,921,372,069,404,898,480,125,694,139,532,056,399,
325,342,001,739,489,180,819,995,620,072,184,312,888,450,136,597,880,643,585,
274,175,913,954,195,625,551,016,714,462,346,332,286,132,501,764,581,401,208,
239,231,681,846,042,514,317,487,252,628,390,824,395,733,927,902,051,886,974,
138,449,156,252,766,532,053,075,341,184,375,064,612,064,981,118,733,353,466,
619,116,309,602,118,741,921,953,850,904,793,400,906,713,056,388,246,465,578,
582,080,976,746,846,013,990,733,131,711,203,748,827,321,747,215,636,326,876,
009,962,559,555,705,194,850,374,281,137,941,839,048,393,474,221,445,430,344,
591,903,196,147,945,940,209,838,955,944,045,404,832,704,931,634,556,228,095,
562,594,333,361,705,037,453,890,184,813,218,971,836,450,153,813,336,171,548,
203,507,896,902,671,624,147,511,183,204,682,489,382,727,174,651,870,662,726,
775,427,913,721,996,177,114,928,061,930,264,176,350,784,122,223,339,075,512,
521,829,347,940,233,338,580,132,210,106,402,846,044,407,301,521,994,972,431,
642,295,277,260,116,999,862,731,246,252,356,159,679,237,984,662,365,489,649,
649,687,410,630,408,013,483,477,173,603,999,972,337,466,677,167,019,415,255,
552,927,441,510,838,342,838,213,689,165,446,945,476,668,870,679,917,511,318,
805,247,038,768,222,052,583,643,939,153,054,986,980,222,469,595,641,286,647,
625,438,898,775,289,197,695,933,110,546,842,871,147,870,374,109,505,563,721,
500,903,781,688,285,828,818,332,850,700,097,662,573,425,818,009,022,704,853,
869,665,566,973,820,781,178,961,997,270,368,613,129,816,887,338,312,250,188,
284,738,235,689,337,279,436,151,245,043,100,017,833,006,626,352,332,339,669,
426,146,871,642,355,391,492,248,674,548,445,607,835,855,535,476,226,809,867,
791,569,573,263,825,246,409,248,920,191,609,330,939,217,139,787,215,915,062,
414,090,743,543,823,675,050,583,254,602,990,030,636,840,016,402,184,571,913,
825,190,077,991,416,223,032,659,371,898,907,395,212,747,697,888,224,994,493,
764,012,551,359,529,172,852,685,303,794,776,753,297,642,804,803,878,453,677,
233,308,189,771,607,582,071,104,338,283,629,816,767,810,221,468,095,721,177,
658,674,684,359,099,302,437,798,482,170,770,922,631,483,269,901,021,810,070,
589,533,286,706,838,944,870,653,982,973,882,664,874,520,058,370,509,114,204,
081,841,479,475,977,399,392,235,985,267,902,283,386,339,945,529,947,974,857,
997,485,856,287,874,339,008,129,677,733,997,826,595,140,571,857,369,544,089,
650,173,069,147,273,246,133,345,424,295,912,195,466,477,168,730,774,075,877,
451,920,198,279,840,762,412,419,246,948,466,108,854,027,012,060,714,425,271,
119,015,843,169,321,562,927,829,876,971,313,751,279,138,218,239,375,378,530,
903,352,841,905,855,838,153,717,648,654,327,159,261,982,969,629,943,083,760,
067,060,854,068,844,914,152,055,137,108,722,124,361,047,971,292,051,793,509,
413,647,410,768,287,708,267,642,953,403,017,210,386,387,743,448,236,288,926,
179,535,262,044,513,291,669,639,582,113,598,245,101,227,073,521,873,182,911,
736,915,264,389,064,068,799,871,944,069,574,548,102,842,383,427,820,457,747,
005,331,582,581,104,894,487,198,495,829,913,363,545,641,789,848,526,835,336,
582,613,062,534,565,927,655,197,008,950,389,910,751,312,444,239,951,646,133,
106,868,370,360,849,660,472,817,922,590,132,308,610,080,744,178,703,857,429,
172,751,959,139,325,603,525,310,937,991,210,644,852,915,796,221,803,729,610,
983,384,530,834,797,794,770,910,266,655,427,191,596,494,701,353,559,250,671,
946,916,055,976,721,736,965,439,124,550,896,624,820,749,280,560,124,588,943,
632,121,579,054,248,762,370,036,023,197,075,241,648,439,033,720,384,653,101,
567,252,228,573,705,776,858,147,634,585,305,403,385,854,005,911,370,273,574,
236,624,332,069,958,875,727,071,977,272,054,868,293,118,539,395,758,281,053,
144,359,563,674,992,553,413,929,167,691,760,488,415,041,889,483,069,220,085,
485,784,322,468,347,360,127,811,150,633,425,125,457,321,088,480,883,613,949,
977,316,728,468,357,379,686,419,026,342,848,964,128,790,767,490,428,546,048,
411,113,814,458,435,712,946,642,426,819,056,346,242,670,303,296,146,736,298,
050,194,029,340,533,382,201,852,606,705,532,439,995,074,627,305,295,098,597,
988,321,549,728,616,547,440,013,098,555,761,970,417,454,919,432,720,492,355,
118,665,425,936,429,203,831,275,887,825,819,636,535,998,615,092,392,345,067,
506,883,509,211,648,217,893,159,345,393,711,380,169,241,073,218,861,096,046,
865,486,696,998,464,306,755,230,596,027,599,689,554,191,551,420,219,852,426,
965,661,563,912,875,342,716,854,689,233,551,256,567,269,137,279,778,288,693,
590,172,660,087,593,368,242,324,494,355,089,956,648,210,256,602,252,325,099,
660,502,577,831,308,535,724,994,059,548,359,097,997,631,189,275,849,863,936,
549,114,299,268,143,760,414,300,887,144,859,528,446,677,609,693,905,214,108,
272,506,288,968,361,971,648,341,565,399,064,728,320,644,488,754,970,400,913,
307,017,182,570,360,246,226,432,423,059,757,381,204,687,361,028,445,772,979,
705,516,787,425,123,437,746,112,845,313,495,124,365,918,601,553,374,298,326,
749,530,411,578,447,339,735,161,811,396,879,801,504,734,537,673,551,492,359,
892,499,988,387,803,859,103,396,043,178,816,842,521,674,069,366,823,077,389,
538,484,065,143,570,119,915,896,826,821,938,910,521,566,020,896,582,001,633,
403,951,219,665,936,191,814,548,101,461,353,550,363,012,823,750,846,519,833,
861,484,784,914,504,391,690,542,476,398,085,350,171,982,178,263,729,168,284,
688,741,372,584,361,096,831,930,543,062,794,707,607,125,330,868,750,034,571,
948,103,985,489,662,222,718,556,932,155,011,484,581,013,559,714,518,558,373,
545,698,062,115,946,456,063,049,800,249,781,172,180,690,749,644,191,566,177,
436,102,020,728,335,467,255,255,249,324,008,242,001,816,703,325,402,438,069,
598,768,174,454,292,439,407,148,306,526,654,251,689,996,123,537,549,578,138,
121,699,955,281,299,649,393,200,211,458,833,684,510,188,409,324,668,953,798,
442,536,723,339,510,116,569,412,064,196,871,128,157,993,582,378,423,531,387,
652,036,278,116,127,471,661,461,425,119,466,056,835,740,019,542,878,368,958,
999,113,802,914,915,306,437,656,609,442,794,996,922,218,346,739,366,994,595,
595,230,491,351,260,012,840,798,099,780,837,715,841,541,792,062,292,879,183,
954,233,410,109,882,649,166,459,482,285,717,603,952,799,440,390,124,543,609,
623,320,983,907,975,890,235,549,818,452,324,395,154,741,477,033,289,790,271,
602,430,810,060,324,305,851,035,148,828,793,266,581,919,822,946,579,860,331,
238,754,808,363,590,361,842,316,607,292,856,711,275,611,091,094,500,590,463,
272,959,805,621,004,364,108,383,680,369,680,577,428,002,309,665,668,129,548,
724,918,878,209,153,880,591,482,185,421,432,079,571,270,651,533,420,881,778,
786,091,355,821,229,936,804,883,978,214,066,927,088,071,452,772,107,363,434,
640,991,279,040,182,146,880,606,284,060,529,482,508,857,813,819,790,905,125,
819,134,648,608,958,087,099,979,400,147,922,491,092,826,715,799,485,407,679,
561,142,677,569,757,009,465,705,035,168,614,550,113,290,611,604,046,386,625,
069,178,673,734,926,843,545,413,186,760,937,646,371,917,653,006,320,437,239,
066,721,784,170,398,504,500,139,213,358,097,971,081,941,512,037,667,150,187,
878,244,604,585,783,944,214,123,409,960,606,881,685,893,998,667,468,912,662,
210,688,880,763,271,233,455,807,753,164,531,805,294,462,280,370,863,297,894,
148,868,151,110,981,326,884,874,791,076,829,032,724,270,421,827,978,110,159,
989,535,762,427,472,456,841,908,490,160,639,839,038,804,536,039,281,721,395,
730,001,434,088,274,941,237,555,302,748,544,789,652,036,140,160,655,064,003,
733,678,306,340,889,263,092,389,733,531,850,596,315,150,724,277,772,344,400,
538,586,469,697,666,127,607,878,540,184,188,411,772,432,790,642,569,569,313,
038,855,475,837,540,831,673,641,243,734,369,950,220,761,442,150,132,510,169,
842,489,550,578,558,779,412,893,722,172,399,285,713,176,846,234,913,372,179,
007,594,304,908,602,463,504,058,984,500,183,934,282,075,020,980,246,334,171,
719,331,554,205,300,710,822,807,424,239,293,518,306,344,648,863,555,153,964,
715,691,564,402,004,748,426,435,368,406,338,746,356,109,339,144,410,538,908,
901,910,838,594,598,827,243,239,420,552,103,358,194,021,943,901,334,947,102,
529,773,040,442,369,163,121,974,938,854,243,454,155,759,595,444,087,443,410,
206,437,232,533,944,376,806,150,009,284,767,975,040,054,115,615,866,816,233,
758,229,942,394,316,400,043,752,428,944,009,824,607,274,073,729,452,094,721,
947,297,437,781,211,770,846,364,373,273,898,182,608,859,507,087,895,335,017,
143,579,815,973,711,557,838,767,083,354,506,513,187,775,185,471,293,203,716,
927,916,024,478,610,214,708,731,226,945,359,834,408,206,211,178,323,527,512,
911,191,742,828,486,654,110,102,359,606,114,430,508,138,763,496,212,813,532,
360,587,538,387,824,019,084,624,969,609,661,001,496,527,984,823,458,602,955,
178,668,807,464,678,704,430,844,720,875,368,848,007,673,723,041,291,710,676,
311,957,801,948,549,622,384,178,230,562,652,849,872,030,068,507,717,273,182,
954,010,269,969,775,905,246,847,611,602,508,784,510,629,568,897,911,385,412,
969,499,489,317,804,540,454,515,433,990,120,154,243,822,978,399,252,575,454,
932,207,280,379,326,375,516,256,756,599,539,671,710,291,570,449,796,205,091,
985,984,279,016,495,911,046,285,048,075,400,434,801,736,094,405,057,102,672,
013,549,465,081,811,038,908,692,330,018,074,728,253,337,538,984,863,931,920,
134,354,124,981,349,667,537,782,017,141,775,485,192,478,939,540,459,877,524,
430,296,736,827,084,541,266,782,065,471,888,582,564,868,658,335,893,920,087,
762,913,548,286,757,517,813,503,905,581,506,290,564,161,826,079,282,579,252,
572,973,349,762,339,707,547,775,776,314,369,719,509,685,415,470,826,788,524,
336,499,005,139,494,527,120,437,316,252,284,539,425,571,939,953,089,834,674,
507,201,252,377,458,592,912,145,109,085,302,142,384,780,801,093,797,253,888,
629,359,826,251,016,581,632,517,656,327,870,865,435,919,900,978,614,435,440,
316,123,708,614,831,020,164,324,569,168,106,565,496,480,090,963,615,799,277,
149,492,184,776,064,021,375,039,844,191,219,601,718,176,499,437,141,217,476,
411,676,512,176,698,166,978,379,007,035,046,383,829,306,977,406,861,270,594,
217,343,662,774,375,995,402,732,391,963,998,139,403,523,807,747,451,649,681,
088,430,215,893,733,479,065,560,758,504,583,335,029,809,261,655,356,923,862,
787,786,765,660,252,033,860,910,144,685,587,668,151,159,899,251,610,388,559,
917,954,970,611,486,652,789,688,771,558,613,468,448,944,344,635,736,668,228,
463,468,370,776,437,595,438,063,862,110,936,442,792,319,789,168,290,121,929,
718,373,785,005,957,323,915,582,251,984,157,629,832,433,374,099,669,438,756,
442,143,873,870,072,026,793,837,788,284,513,552,276,815,546,775,878,963,556,
009,046,520,408,220,883,599,010,806,642,017,536,522,031,077,669,549,702,361,
175,381,688,933,913,179,447,642,588,686,250,498,087,741,512,172,475,485,159,
184,788,369,288,209,257,293,285,844,643,431,714,505,419,085,306,672,656,480,
156,664,677,485,527,235,335,236,717,037,722,307,709,498,406,508,074,187,049,
524,219,624,135,986,636,684,014,000,632,331,664,331,753,665,762,236,349,536,
600,637,973,080,045,434,881,417,953,795,172,042,163,504,991,739,899,192,198,
134,034,854,038,569,737,987,514,937,497,837,018,535,619,933,749,403,239,415,
258,975,300,371,163,009,224,388,351,933,618,286,425,205,165,478,871,885,864,
107,975,172,876,296,233,079,905,431,753,742,773,738,712,994,717,302,166,473,
647,740,130,881,192,945,410,850,913,180,085,332,036,975,673,508,701,110,077,
000,647,334,563,417,649,568,237,972,765,895,436,485,627,332,082,344,952,530,
030,821,935,206,927,146,349,769,970,752,810,191,219,533,030,084,114,612,170,
350,040,722,319,257,208,906,373,047,579,973,291,949,591,629,625,847,687,434,
218,872,595,849,615,560,640,133,194,720,713,701,958,926,028,378,401,323,538,
283,749,400,066,660,150,436,359,560,267,166,550,132,398,884,315,128,698,775,
046,863,610,473,549,035,728,231,674,193,299,870,198,539,526,681,569,456,199,
562,606,552,552,891,401,997,921,717,624,087,841,443,182,020,187,632,714,060,
001,685,200,476,605,548,483,727,072,644,285,154,068,875,894,241,211,044,496,
799,319,415,171,073,715,361,004,681,111,410,490,475,441,922,674,173,591,784,
346,170,078,627,969,386,782,102,380,101,556,249,570,403,280,228,910,721,149,
242,196,614,413,086,688,819,772,086,810,998,436,897,087,501,562,068,440,842,
354,690,991,620,533,646,436,328,662,980,189,161,152,092,856,416,414,194,498,
863,904,868,608,219,378,836,563,531,373,936,901,509,861,336,070,048,240,111,
369,225,807,982,882,157,201,113,004,154,205,905,937,426,796,899,288,197,275,
510,335,428,460,382,835,858,748,050,473,945,312,209,616,858,144,784,731,615,
501,251,406,114,512,946,867,103,265,107,149,078,301,820,563,423,634,668,675,
746,725,888,931,212,005,257,260,835,896,828,169,579,608,326,375,168,825,654,
817,550,847,921,573,546,870,248,725,278,184,605,135,449,318,201,455,891,616,
734,602,305,766,497,521,481,531,212,430,902,373,593,299,781,375,751,200,569,
291,853,886,832,102,588,852,583,418,282,637,727,995,158,378,615,274,670,523,
059,201,752,677,191,800,295,846,273,794,432,861,909,037,907,532,226,201,086,
908,373,329,729,296,967,728,003,626,923,371,745,603,667,009,521,571,958,417,
124,911,946,467,063,133,586,705,592,837,327,692,534,453,559,681,510,770,805,
083,225,161,908,847,440,347,641,257,372,697,926,255,880,119,875,981,563,027,
319,440,561,669,853,497,252,360,218,019,109,035,004,779,051,468,092,612,820,
819,561,576,051,495,022,819,907,828,542,337,642,963,229,417,085,395,092,547,
368,712,676,727,992,907,692,452,845,234,358,138,799,912,925,295,595,257,874,
164,375,978,079,867,117,617,606,527,748,553,177,386,579,547,625,695,313,952,
477,868,496,226,479,675,134,021,048,207,741,247,482,688,600,294,511,845,260,
233,533,022,195,663,744,455,434,511,510,383,577,951,947,550,534,170,082,232,
837,157,607,096,863,126,312,941,228,879,985,046,158,411,754,558,968,501,558,
947,297,317,042,626,280,730,893,240,252,015,801,642,571,728,807,161,074,239,
519,660,017,839,473,693,937,976,375,229,444,260,691,779,196,814,893,731,213,
147,588,907,532,136,621,520,440,892,207,823,016,412,809,796,121,664,769,997,
886,114,981,097,312,111,025,162,074,236,305,693,463,449,019,284,863,136,212,
687,635,567,338,846,485,959,275,593,062,235,998,918,402,621,134,327,549,391,
166,822,457,363,387,952,376,542,354,846,217,625,756,466,946,686,000,297,069,
967,445,665,687,493,795,004,373,267,848,305,077,267,558,619,984,102,962,191,
087,896,886,501,616,238,699,292,141,200,667,017,980,361,053,573,756,426,854,
349,108,647,039,101,320,636,452,012,532,374,341,210,746,639,497,684,614,570,
964,291,798,225,407,714,544,649,623,522,768,978,479,451,104,389,947,172,153,
196,469,634,447,513,953,870,587,681,250,824,240,051,443,393,671,963,510,836,
808,017,441,604,729,143,576,464,930,048,466,180,280,297,782,452,989,942,911,
730,549,503,833,218,311,612,247,062,359,805,886,555,732,018,134,728,558,719,
810,910,429,069,283,334,876,840,281,686,453,243,344,661,366,125,784,783,247,
320,209,367,580,936,820,854,812,639,069,926,959,457,723,521,232,586,856,614,
677,751,478,401,096,842,620,141,286,185,700,184,434,101,768,105,791,049,436,
381,823,318,075,103,033,304,228,122,340,880,914,493,299,995,559,453,993,168,
159,700,287,695,793,473,721,601,847,848,316,736,352,518,534,250,896,987,596,
760,335,444,939,404,929,489,486,462,242,402,177,254,293,612,934,349,754,436,
091,389,137,490,364,652,463,518,572,052,487,364,236,318,942,337,478,645,804,
939,780,621,783,120,189,136,421,317,701,257,278,287,513,713,953,774,777,282,
180,443,374,913,705,597,309,723,824,595,052,769,806,572,643,457,246,914,696,
968,212,308,149,375,801,334,303,460,665,745,264,501,309,482,309,674,987,461,
582,089,542,704,390,242,229,655,075,088,396,521,520,621,668,301,714,709,413,
620,967,599,120,478,438,994,948,685,305,618,079,261,441,732,641,772,008,207,
455,977,823,344,522,846,423,473,874,342,724,702,098,723,020,211,523,463,557,
045,949,090,795,242,182,964,580,611,244,700,969,502,929,802,168,607,965,170,
872,616,027,869,741,258,380,347,363,353,221,256,309,622,391,493,494,185,104,
335,967,689,855,030,741,552,272,191,718,595,467,012,948,333,906,975,624,949,
479,177,388,972,873,015,759,288,143,805,196,344,339,594,248,929,840,677,684,
927,844,285,779,825,974,972,930,876,053,069,185,620,408,710,727,843,779,901,
577,754,311,410,182,198,473,097,495,586,875,868,675,103,452,924,855,319,371,
404,748,799,440,848,288,795,963,486,009,724,759,069,036,562,368,145,215,021,
239,344,547,056,372,093,611,373,327,574,694,658,176,460,394,294,791,661,551,
598,867,619,977,339,235,096,902,442,288,845,679,562,156,376,177,630,327,757,
351,059,641,617,952,419,709,637,650,207,064,184,112,580,227,880,084,938,188,
289,087,943,444,653,179,635,545,827,328,333,699,692,026,763,117,879,578,146,
916,186,073,526,210,608,814,477,107,777,196,649,854,847,089,238,689,905,566,
037,444,370,323,491,069,800,442,995,997,204,049,592,269,214,302,306,904,316,
428,702,747,158,482,789,056,951,080,015,721,745,900,384,861,485,264,852,532,
618,649,702,988,750,500,472,195,433,130,065,502,241,239,859,642,049,629,326,
823,454,699,323,001,169,452,350,810,329,142,716,136,696,124,152,417,079,120,
931,498,133,926,648,490,151,325,244,934,791,932,750,080,032,147,555,614,902,
370,512,467,433,292,700,609,424,081,735,787,196,002,784,123,428,957,845,049,
596,517,165,510,340,622,694,038,062,087,337,393,528,995,288,824,639,968,498,
805,801,111,477,326,585,320,609,195,566,045,651,700,477,957,867,912,776,224,
158,210,238,190,564,444,822,018,576,052,848,463,600,360,019,121,681,098,641,
863,237,153,796,268,573,103,031,127,985,603,893,511,553,432,228,801,151,552,
762,470,498,414,325,158,669,220,297,378,011,348,842,732,106,118,421,155,257,
602,266,073,561,097,316,396,665,367,613,664,188,412,691,925,051,270,358,727,
651,775,113,895,531,708,540,526,759,318,653,610,468,800,577,617,234,366,849,
674,043,724,930,429,626,229,097,284,542,269,039,070,632,155,350,865,311,023,
455,375,006,711,543,601,047,059,847,053,008,513,790,007,334,494,194,172,122,
321,896,178,152,658,792,875,563,208,428,180,015,486,544,981,412,721,098,494,
211,434,616,752,591,209,297,499,620,933,196,455,829,388,535,310,657,624,446,
003,170,413,037,775,940,798,554,788,786,636,060,451,169,925,829,911,471,108,
487,898,865,266,426,514,554,925,123,517,332,024,406,780,600,938,839,056,355,
171,051,947,456,419,940,629,631,341,115,281,625,196,937,473,829,849,392,699,
184,223,612,414,746,468,998,253,862,153,945,766,357,313,215,564,717,685,470,
247,709,178,375,377,334,946,484,213,081,871,857,295,561,152,356,022,241,349,
077,834,592,182,550,277,774,973,862,752,141,267,113,477,873,205,959,070,194,
708,977,300,914,514,734,162,298,044,964,301,677,326,104,897,916,161,364,695,
140,140,529,422,698,313,075,161,359,695,246,822,415,288,018,338,572,507,445,
331,800,212,476,659,944,530,403,330,324,590,089,779,005,712,455,660,614,243,
984,200,190,645,734,543,887,618,870,807,735,017,099,421,551,619,015,225,208,
847,894,507,106,791,306,286,963,626,164,859,945,980,680,723,790,513,583,256,
303,193,538,310,552,035,652,849,641,274,529,054,967,198,134,381,656,366,763,
698,833,522,380,854,805,641,238,700,908,005,783,118,114,862,802,752,117,451,
321,367,984,479,155,700,492,632,782,605,073,193,633,214,415,051,796,780,823,
631,495,249,955,199,646,713,955,774,781,625,417,734,413,540,245,886,921,122,
614,488,622,352,302,543,611,166,921,626,360,540,665,498,998,629,158,809,756,
866,920,982,418,504,670,284,052,327,962,710,761,122,026,002,666,713,483,432,
944,775,239,691,273,810,004,668,573,185,079,513,467,505,397,584,929,889,355,
540,352,253,027,452,169,661,402,441,758,323,234,249,374,114,026,258,846,648,
121,038,505,086,730,387,211,233,123,875,972,843,702,395,459,644,264,718,710,
790,496,426,108,720,223,679,238,914,120,620,611,187,874,247,194,823,171,094,
053,753,786,119,846,864,106,224,639,123,568,362,693,533,721,041,389,727,656,
483,361,114,665,958,814,028,856,271,583,691,629,569,767,019,380,576,441,677,
735,186,825,922,103,620,795,067,866,762,812,191,294,357,314,591,397,583,650,
537,442,733,528,846,273,774,713,369,329,390,739,596,364,658,152,120,627,945,
435,651,849,479,080,857,878,759,110,049,422,288,898,125,613,361,149,518,514,
746,268,790,936,700,865,379,906,152,738,447,966,755,564,163,807,583,606,424,
279,437,177,054,704,129,663,226,886,979,276,020,969,756,337,651,369,779,905,
232,835,524,228,436,417,919,095,409,066,345,749,186,083,594,416,107,527,310,
224,002,377,478,500,409,464,476,011,293,742,071,440,123,557,926,249,105,397,
305,146,547,433,521,385,862,289,994,765,476,484,634,421,569,598,006,188,400,
545,835,587,787,722,847,753,309,564,056,353,516,028,373,251,369,596,976,443,
324,712,200,097,194,357,409,992,234,778,728,293,373,254,903,883,436,849,435,
131,519,415,134,495,292,954,579,257,052,542,931,517,014,065,087,156,118,735,
005,081,003,256,422,603,699,735,456,541,510,588,395,629,686,913,167,521,275,
153,826,301,102,466,747,420,919,792,659,454,845,685,094,096,060,632,537,259,
719,907,523,270,339,715,576,828,322,810,782,179,573,613,726,907,745,541,760,
854,446,663,691,845,676,393,044,965,268,917,165,442,243,269,267,867,235,769,
423,407,462,847,478,999,360,727,159,849,066,656,300,263,902,728,291,775,679,
050,893,172,494,176,468,026,364,300,173,786,768,182,549,332,107,125,255,856,
656,976,827,438,753,273,246,536,695,387,159,308,228,697,036,105,620,814,331,
702,944,455,092,715,696,985,125,752,482,171,726,636,837,470,979,526,182,274,
600,881,049,292,273,699,760,816,539,170,844,020,631,896,079,519,020,472,750,
938,908,698,508,070,100,604,024,906,384,910,344,214,951,213,342,842,711,885,
123,352,525,863,161,519,561,506,344,642,514,904,682,412,243,553,173,143,692,
463,311,696,935,124,173,100,299,456,421,113,455,515,910,880,727,333,387,241,
719,716,663,862,116,989,112,850,196,220,028,075,316,368,110,479,764,358,439,
474,725,864,372,209,809,099,308,080,459,123,259,657,109,162,979,868,763,352,
713,874,660,554,513,552,154,688,658,116,444,093,562,437,604,120,326,265,550,
268,476,621,870,947,462,613,686,526,563,437,930,249,226,076,608,184,672,386,
905,448,694,058,922,506,250,617,203,405,767,344,510,892,856,533,237,947,111,
136,735,976,435,994,772,783,937,560,174,420,776,370,097,958,730,538,613,814,
697,570,607,997,239,395,104,268,288,975,093,926,677,742,501,433,452,136,218,
492,110,392,055,601,769,983,854,377,272,370,007,674,552,641,797,197,709,323,
191,649,813,616,293,553,252,631,914,482,186,916,345,780,433,862,108,858,212,
239,787,573,418,753,660,051,311,600,035,992,406,709,810,887,000,286,635,779,
733,542,605,717,420,923,386,168,473,826,616,399,536,747,337,828,561,311,250,
734,492,990,809,447,649,421,909,532,598,823,954,616,935,870,916,827,977,290,
802,331,601,931,242,226,644,464,328,793,720,573,130,971,367,814,402,493,835,
874,257,149,493,891,296,758,322,410,071,735,121,259,033,468,668,713,463,609,
520,385,869,310,868,708,111,461,732,081,195,866,233,556,301,676,819,339,875,
340,310,962,656,100,571,966,404,338,638,578,601,897,714,911,014,556,279,754,
887,545,832,049,181,487,951,901,552,728,966,496,607,239,376,608,687,587,878,
716,252,485,377,771,952,330,245,712,121,411,670,870,901,327,896,064,486,928,
604,542,089,283,371,110,971,677,869,764,600,197,127,217,814,271,389,583,961,
671,686,673,628,519,770,642,010,785,793,196,040,649,327,917,712,425,560,502,
160,335,252,247,061,898,272,061,482,438,419,000,339,874,230,576,380,848,226,
742,746,688,755,562,299,160,318,968,199,294,155,207,019,471,663,165,988,621,
931,577,043,168,309,031,554,334,017,484,498,070,580,684,032,787,819,233,589,
797,756,729,131,590,929,207,724,593,591,319,032,930,088,090,781,750,037,265,
932,849,977,734,345,055,564,261,812,296,160,045,646,462,983,036,843,601,136,
365,186,297,948,666,408,782,121,743,487,113,431,330,705,358,709,196,093,072,
892,639,757,937,525,055,902,171,889,795,197,959,865,700,489,156,705,022,711,
754,618,217,629,820,609,846,664,007,524,253,049,753,278,875,496,783,766,071,
175,487,889,140,047,995,341,657,204,053,930,247,934,855,909,672,052,449,566,
426,925,839,474,682,571,549,667,448,981,909,985,426,683,152,924,104,540,908,
125,379,173,436,373,123,597,152,874,406,127,574,131,811,080,185,853,873,420,
838,405,302,097,290,404,562,918,218,664,565,553,074,122,783,228,085,902,448,
237,857,074,152,517,367,569,649,680,266,702,766,569,047,567,028,455,839,348,
008,401,774,727,303,692,249,351,664,280,829,071,261,258,274,349,512,658,909,
875,901,859,587,983,368,429,848,731,183,609,616,922,981,991,098,527,815,404,
142,028,608,984,438,247,882,735,567,728,690,362,659,988,532,456,555,880,108,
584,924,378,855,409,816,265,545,570,782,520,733,474,139,212,698,859,466,019,
215,880,742,877,185,211,904,442,035,099,223,810,274,766,104,312,277,506,103,
264,846,544,888,386,076,713,170,942,005,090,421,277,205,116,943,211,550,806,
785,397,707,914,989,375,074,697,719,313,117,130,307,516,237,896,185,515,631,
937,182,870,705,434,945,832,117,063,318,411,335,749,134,723,825,455,749,309,
684,184,386,377,953,433,058,048,047,464,398,472,420,042,451,931,201,841,366,
473,704,272,878,896,450,248,134,762,318,313,052,846,256,097,520,124,089,258,
310,516,694,079,717,728,667,795,185,393,749,449,103,525,153,596,666,698,097,
519,150,354,152,185,573,244,804,635,070,641,929,005,008,426,672,302,265,134,
616,600,566,512,825,618,973,008,066,345,515,353,735,757,748,929,781,689,126,
493,205,056,857,040,255,773,172,492,975,308,489,291,943,315,881,147,370,183,
452,088,335,063,150,387,837,970,201,685,280,942,346,559,260,456,183,970,767,
358,659,554,781,407,889,094,253,096,172,420,784,105,352,129,371,274,687,721,
415,615,178,977,404,173,697,629,418,527,568,218,237,473,430,802,265,230,486,
775,648,556,438,526,031,207,466,791,557,495,938,516,426,326,633,402,190,989,
147,937,425,584,317,659,952,986,117,097,923,023,392,190,028,720,438,149,437,
313,387,505,464,483,365,388,600,569,539,833,842,013,911,204,036,811,835,945,
972,299,305,755,868,228,322,162,850,673,148,709,561,969,803,519,933,539,614,
254,782,182,715,456,898,349,975,230,875,747,241,674,040,499,572,562,595,517,
748,854,157,428,861,132,347,408,607,461,319,099,938,650,433,436,393,137,748,
435,067,894,982,034,132,375,577,422,034,638,510,485,160,010,651,086,351,750,
563,646,282,227,569,635,865,207,651,268,300,979,836,810,595,523,852,364,855,
885,383,878,077,177,624,151,561,062,854,956,861,037,749,122,561,243,719,451,
587,048,539,484,078,590,986,879,333,447,683,061,627,753,629,133,099,177,172,
713,470,251,618,725,580,936,532,410,945,594,228,862,133,349,910,401,915,359,
503,046,744,695,000,820,581,754,185,949,261,543,426,358,849,674,970,752,680,
379,481,859,096,158,195,235,769,938,261,419,943,541,438,674,794,353,611,676,
861,454,944,077,835,103,546,677,214,266,296,999,222,030,673,766,789,724,750,
333,217,688,181,874,555,742,337,740,819,062,455,021,215,024,138,037,307,561,
666,503,821,505,063,165,162,002,868,374,121,329,844,028,445,795,050,150,463,
214,834,586,842,287,959,370,397,052,262,577,578,656,591,158,601,768,834,404,
092,310,698,112,783,605,510,991,969,269,782,684,077,691,337,940,525,224,447,
492,060,009,249,883,685,741,443,829,869,274,053,932,015,611,870,851,072,083,
894,494,989,640,483,142,866,016,008,466,959,544,400,426,081,172,691,592,854,
150,858,411,653,473,390,091,792,772,981,976,140,061,240,047,648,141,026,957,
423,864,051,459,338,205,606,738,989,004,758,744,049,151,446,061,580,363,735,
063,812,684,281,486,738,242,531,742,307,729,178,828,690,139,652,857,933,713,
806,724,175,428,795,984,172,616,163,365,994,938,886,714,500,292,771,530,703,
014,093,021,295,142,764,872,126,290,116,360,522,874,242,069,993,792,590,853,
036,861,053,740,646,387,942,185,325,824,704,061,054,485,071,430,629,796,424,
787,649,986,931,518,825,450,946,677,576,797,606,977,936,661,254,066,879,431,
927,652,658,936,335,429,179,989,911,705,905,833,579,948,128,381,559,156,435,
467,375,175,157,068,180,841,562,642,597,023,673,588,816,490,162,088,504,070,
770,014,218,872,482,951,038,442,826,019,501,774,909,897,734,672,079,386,172,
013,805,414,915,967,066,620,284,565,565,352,591,775,150,245,344,544,926,307,
561,227,549,387,396,972,742,366,935,173,371,303,073,441,485,277,861,415,418,
314,971,699,985,184,964,070,149,262,209,184,435,339,181,556,621,938,867,850,
854,083,504,386,891,776,373,446,121,104,690,442,973,218,453,908,539,995,522,
330,923,026,705,967,743,993,746,957,289,108,204,786,931,928,594,459,006,776,
394,739,676,508,360,011,951,964,052,501,241,274,600,934,070,484,411,288,092,
337,066,754,040,400,070,932,910,678,793,224,674,620,624,386,292,980,098,247,
881,189,585,003,541,661,559,833,647,721,438,365,162,178,482,742,519,831,570,
341,461,603,530,301,671,586,405,635,886,099,557,343,372,170,744,982,570,053,
202,068,232,526,222,777,873,090,165,652,496,225,105,357,137,660,512,848,191,
447,791,527,480,293,537,213,528,799,364,601,525,860,905,576,065,294,632,626,
639,644,041,039,914,419,838,930,221,571,035,155,872,787,068,588,052,791,418,
859,787,435,089,713,588,430,008,937,650,010,353,755,605,779,323,630,913,235,
006,298,548,325,517,768,786,814,821,824,997,127,900,903,207,876,205,430,981,
293,353,999,838,914,477,664,415,207,649,814,000,514,283,295,079,455,777,340,
012,135,943,563,869,907,613,269,902,378,863,428,005,768,447,526,445,632,217,
974,916,183,954,761,656,039,216,729,882,370,355,671,116,548,883,172,916,590,
728,683,553,929,340,469,458,590,396,838,179,651,911,167,363,325,567,363,668,
377,986,607,018,049,371,300,744,029,164,110,661,739,157,910,046,663,634,098,
290,102,823,213,249,660,672,094,590,783,612,100,008,089,056,574,103,412,976,
702,149,358,389,929,405,083,027,140,360,744,998,867,905,436,414,171,485,455,
961,030,778,320,461,192,449,900,365,428,220,639,576,923,972,245,383,819,409,
750,744,574,611,250,227,028,018,259,766,668,752,269,207,996,959,608,658,651,
886,242,095,759,261,060,001,645,379,941,641,889,338,271,835,106,292,886,322,
301,693,055,189,802,004,715,125,991,901,986,615,521,039,853,281,910,821,347,
241,311,922,970,784,208,426,740,792,339,214,650,556,600,419,929,410,551,266,
414,219,137,530,299,646,976,719,046,474,182,676,384,029,231,376,569,036,251,
424,879,413,329,969,913,977,829,138,745,782,090,337,935,763,924,616,191,880,
524,170,947,023,740,482,747,337,222,794,678,036,410,228,866,380,271,297,937,
945,303,412,302,621,695,439,199,303,955,719,398,057,446,366,699,960,067,747,
233,051,673,697,403,743,006,343,993,727,348,778,793,865,173,183,945,183,321,
506,963,754,428,556,512,409,327,039,760,622,868,881,437,295,856,296,132,382,
717,687,907,061,721,506,012,510,388,052,810,356,363,562,786,843,091,791,624,
305,336,754,864,140,785,457,648,459,189,605,828,181,798,447,716,270,921,920,
975,648,144,808,101,875,673,885,188,393,983,469,179,923,472,929,396,018,176,
543,251,282,113,175,335,675,750,126,481,766,319,522,822,086,972,366,978,794,
541,446,772,171,247,185,236,739,567,204,781,866,515,094,649,715,375,084,620,
654,230,117,611,882,112,479,816,270,693,097,045,157,651,941,542,116,980,045,
013,522,565,978,363,379,933,759,451,860,381,252,713,372,889,468,777,728,703,
787,847,669,240,616,549,126,851,602,975,676,284,568,307,994,731,867,622,446,
590,390,009,272,802,582,601,714,012,464,797,320,806,148,538,595,581,749,905,
307,866,957,514,602,845,826,128,597,493,235,340,515,218,439,199,223,217,112,
233,754,403,750,206,919,594,374,838,407,336,463,160,366,163,715,335,511,368,
966,782,261,205,468,783,114,091,705,175,410,523,449,304,755,602,603,762,147,
800,580,438,808,066,763,705,373,927,871,422,449,131,442,558,229,637,768,571,
132,428,908,055,989,136,850,174,309,484,763,303,000,808,573,373,564,297,747,
399,701,702,987,302,685,825,236,699,481,227,106,030,042,129,941,784,442,423,
616,717,705,196,578,452,855,799,423,719,302,826,083,478,868,684,879,153,583,
336,001,860,574,806,759,382,039,552,579,931,738,254,405,204,403,580,656,696,
041,359,534,454,529,552,492,466,666,616,510,799,061,435,845,252,120,777,843,
089,390,415,086,202,988,134,464,780,098,412,319,709,377,514,758,020,393,680,
098,491,618,249,331,026,168,262,279,925,029,592,643,660,023,974,567,860,066,
803,953,036,064,819,364,880,075,634,809,909,928,744,999,641,355,664,809,459,
458,702,313,459,355,366,878,293,804,447,946,364,966,627,331,845,937,858,854,
916,320,576,819,669,485,711,616,869,573,333,542,180,980,321,871,782,350,979,
265,794,008,302,451,752,409,590,054,911,871,751,233,677,880,640,211,720,739,
220,298,721,356,753,058,055,345,890,690,251,550,122,399,452,689,411,358,920,
003,660,043,780,054,605,410,041,003,353,187,053,924,530,652,176,134,138,106,
048,348,167,490,080,353,220,462,712,253,453,663,675,056,363,268,880,286,442,
745,012,405,505,440,958,929,970,122,743,586,991,241,722,371,543,097,663,950,
984,142,627,561,283,669,762,062,750,740,833,915,486,334,842,183,872,776,356,
995,099,504,721,505,079,924,600,573,283,930,855,154,497,580,555,377,857,092,
248,402,915,310,471,449,420,391,557,392,756,460,756,437,954,236,368,798,089,
996,946,239,881,024,498,673,195,598,335,761,456,230,965,390,691,133,298,828,
756,967,482,025,545,669,524,046,289,216,077,608,005,722,829,242,498,143,356,
115,357,995,358,088,645,490,182,439,956,677,097,955,852,868,108,710,757,707,
934,945,489,806,154,464,789,193,819,414,337,771,813,645,700,397,219,149,285,
543,411,865,741,660,390,877,508,401,651,766,721,891,020,054,857,445,734,860,
270,321,682,362,480,526,119,023,762,837,368,480,034,940,171,974,792,757,579,
822,077,988,617,049,277,774,602,571,150,551,953,108,039,824,052,757,059,692,
259,307,955,457,520,573,062,555,108,500,516,001,322,576,271,455,918,740,156,
969,743,507,179,724,563,418,689,825,680,677,573,577,538,651,977,953,775,129,
381,000,029,576,262,287,887,032,106,011,121,232,856,656,019,722,341,505,959,
774,892,778,659,933,404,367,543,254,326,310,936,058,293,692,981,713,815,337,
226,472,695,153,600,444,265,455,860,317,016,957,126,889,271,221,414,784,641,
686,431,584,435,121,638,961,362,638,824,104,624,491,318,049,752,498,346,134,
000,918,247,713,681,247,466,640,685,149,745,602,820,345,488,637,067,557,890,
375,665,402,240,572,277,135,172,797,669,336,786,679,895,826,475,406,258,214,
714,538,052,559,988,173,641,039,871,178,131,258,687,238,124,251,065,631,240,
426,920,310,124,541,624,717,034,858,166,391,518,091,324,256,071,474,194,949,
241,803,162,160,928,333,199,995,755,947,590,655,092,275,151,562,070,336,707,
092,919,500,673,683,829,733,472,635,394,543,163,311,841,528,339,103,398,969,
204,205,158,707,431,098,363,750,001,033,713,429,023,508,308,906,953,264,316,
414,157,107,880,875,059,810,817,479,852,755,917,645,182,707,187,130,676,629,
114,212,154,693,156,152,077,466,830,437,359,571,534,484,330,695,960,400,173,
325,907,594,040,062,233,595,201,511,691,855,377,956,572,288,790,752,696,501,
786,833,803,323,772,118,684,121,761,096,854,367,913,563,887,229,259,730,466,
979,568,147,783,158,878,870,268,587,666,828,560,459,214,986,107,615,828,079,
236,323,167,687,348,536,003,666,705,481,714,501,882,544,801,524,745,085,844,
625,357,136,100,352,555,364,238,417,751,911,546,214,794,527,928,788,028,767,
750,604,238,086,821,436,533,665,508,527,932,202,626,436,188,787,494,458,359,
313,303,880,659,362,453,909,994,022,060,905,691,163,291,036,055,960,853,861,
724,136,010,649,972,785,097,687,121,887,891,497,890,807,111,002,768,536,126,
349,645,465,618,790,067,724,286,669,962,121,810,712,848,946,850,029,976,321,
022,844,268,198,057,026,811,874,557,610,365,213,720,086,806,504,594,058,186,
621,567,416,950,185,309,814,942,604,211,837,962,796,932,197,613,150,229,888,
323,350,942,334,100,482,283,465,615,306,923,061,880,810,706,181,752,714,513,
516,995,153,605,184,032,500,700,049,098,903,948,050,601,945,728,440,373,397,
713,655,537,301,178,461,975,004,133,708,292,883,240,154,146,738,441,020,565,
279,703,688,500,197,556,659,706,870,249,699,024,497,757,274,496,600,677,385,
156,330,899,377,296,318,273,572,401,318,832,364,791,065,982,453,092,476,509,
900,604,780,760,310,448,213,012,631,675,503,756,316,630,152,144,774,200,969,
481,965,153,882,889,606,953,147,911,429,575,223,607,926,969,041,929,319,931,
688,092,436,638,806,885,597,374,726,173,311,015,697,445,834,161,527,672,421,
771,130,103,227,661,775,004,010,372,264,696,806,582,714,213,450,318,171,519,
582,097,252,717,179,871,123,994,501,170,113,878,399,899,562,500,968,795,556,
240,277,212,486,999,502,364,650,497,372,027,326,457,975,891,236,502,203,114,
095,150,383,630,293,224,302,418,910,963,274,614,538,705,318,125,689,836,466,
633,156,483,368,505,045,851,057,941,296,108,523,276,668,602,034,615,015,053,
418,369,293,891,732,519,702,642,936,532,949,153,154,283,644,551,554,866,229,
210,530,411,988,036,794,722,863,739,992,288,339,937,320,969,886,853,655,270,
212,551,548,375,953,976,469,314,093,582,108,803,206,263,543,614,158,602,748,
395,924,824,542,091,597,957,181,555,411,516,225,679,377,285,652,437,761,385,
878,059,812,166,001,567,210,919,395,925,417,418,380,181,321,195,605,871,606,
701,383,618,353,832,352,657,225,268,563,744,491,301,389,328,710,804,603,734,
428,525,480,281,538,301,514,508,094,563,053,065,308,165,437,987,764,260,574,
111,074,296,381,734,350,772,614,297,658,787,749,980,906,219,405,527,737,775,
803,155,831,293,852,095,543,837,395,545,460,855,209,760,001,964,368,446,997,
333,218,190,768,878,383,722,452,817,221,555,406,781,000,427,665,995,442,737,
148,526,629,173,788,274,619,655,162,973,091,937,380,610,596,522,342,827,773,
791,338,123,833,669,769,807,002,352,124,222,697,039,106,027,806,526,121,202,
952,933,625,183,191,108,985,091,205,099,914,527,926,280,132,654,962,214,108,
586,016,017,002,162,939,284,889,423,335,797,047,729,704,298,402,937,975,886,
158,836,142,951,417,272,364,507,608,551,665,005,362,067,155,637,427,325,064,
154,790,722,710,540,586,551,042,134,440,441,421,086,710,138,817,565,666,693,
676,377,524,428,114,520,317,509,943,739,685,972,538,131,509,352,647,093,411,
373,807,602,314,384,775,320,722,297,614,127,733,397,265,746,087,626,745,062,
740,290,788,519,466,882,929,697,483,203,599,923,459,795,720,147,437,679,603,
049,791,469,669,598,337,597,829,676,409,072,469,514,011,095,399,015,246,840,
444,861,513,121,325,235,726,475,770,457,249,365,396,565,040,867,878,289,350,
905,241,843,279,825,590,086,907,375,313,382,625,794,905,846,116,366,206,405,
777,815,052,090,830,286,241,406,997,842,424,579,842,932,339,785,170,133,853,
409,537,429,035,475,860,028,387,807,100,394,342,429,035,501,476,790,376,605,
333,192,595,081,568,753,660,633,914,624,334,750,969,056,723,222,492,540,311,
046,366,282,838,720,055,380,299,400,040,217,103,631,509,428,353,654,401,295,
761,003,591,089,599,335,416,405,341,346,428,780,141,296,680,958,856,506,040,
866,474,434,041,781,693,361,216,624,072,445,377,136,016,280,145,666,025,597,
616,819,452,262,610,318,343,426,197,243,394,470,389,297,421,700,013,597,836,
449,720,562,914,376,164,514,199,395,940,195,892,037,542,727,758,128,486,826,
615,127,785,461,233,597,389,016,944,797,065,329,278,118,355,515,240,788,745,
541,058,290,175,558,608,878,165,271,980,916,848,734,103,469,473,273,068,976,
690,987,092,039,882,487,851,608,245,419,815,359,835,741,985,480,361,392,568,
631,059,107,763,267,489,747,262,229,535,350,581,136,377,253,962,348,832,525,
985,054,629,993,466,072,609,111,059,667,542,193,975,064,560,852,040,595,146,
786,768,432,849,515,501,082,725,126,886,219,999,234,884,930,701,938,922,818,
505,048,328,348,032,365,733,279,769,907,657,243,366,161,292,395,662,905,380,
571,572,976,941,938,020,134,100,445,324,246,184,285,473,755,147,122,199,981,
301,586,030,627,450,589,349,632,764,408,299,306,132,087,215,650,389,714,711,
297,549,210,403,978,497,337,748,294,833,320,928,975,576,659,310,367,553,417,
662,658,222,741,883,306,918,450,688,621,089,641,266,911,997,062,856,498,408,
976,303,269,262,401,823,073,038,550,039,112,640,638,688,893,007,209,985,696,
571,039,680,164,517,398,586,528,056,804,452,001,242,148,143,426,092,204,368,
656,470,664,196,128,268,432,654,828,647,459,112,492,900,753,589,661,746,820,
962,726,574,416,198,579,257,475,395,824,490,536,751,160,586,422,271,610,386,
835,624,870,508,849,659,368,255,361,356,696,719,690,508,062,087,353,391,254,
093,191,133,308,874,633,694,674,167,894,845,260,760,824,878,643,659,890,423,
368,655,158,299,799,503,988,342,826,423,980,619,169,559,965,600,163,100,797,
792,963,150,344,991,676,949,374,089,073,438,834,763,787,540,468,359,555,702,
568,622,588,481,913,306,232,675,630,100,692,602,164,699,054,479,131,181,723,
376,099,725,947,263,702,284,286,118,696,071,031,635,556,531,925,963,905,145,
410,805,100,290,424,200,454,890,349,859,002,377,417,838,744,814,229,964,386,
860,336,340,614,853,273,736,282,339,409,099,569,086,505,427,526,327,419,146,
930,854,510,888,979,883,421,402,276,099,112,819,430,477,584,703,282,470,162,
048,693,493,957,632,912,435,393,471,630,537,699,794,262,471,748,891,066,208,
981,847,725,304,662,581,336,718,294,347,758,018,340,496,567,898,644,321,637,
829,475,204,135,433,306,838,691,518,588,020,979,094,148,347,869,254,334,406,
671,884,676,923,605,800,185,259,211,724,628,202,301,648,642,076,954,094,203,
292,726,945,309,491,475,930,217,581,511,382,983,450,108,900,119,012,377,841,
367,112,469,824,874,203,372,117,870,780,949,365,956,678,464,173,967,695,412,
279,505,098,571,949,796,204,334,036,767,511,283,192,179,373,691,830,530,626,
742,469,431,357,317,961,857,017,917,610,369,810,965,232,919,278,148,798,972,
112,319,376,834,593,977,027,062,260,516,377,313,092,464,906,704,376,684,538,
990,852,155,127,905,059,611,945,389,345,874,055,957,604,593,236,907,924,102,
087,169,109,263,008,421,463,168,443,574,106,512,809,957,584,556,121,603,292,
717,460,522,025,897,957,827,657,866,882,765,564,055,796,735,476,851,125,911,
769,643,151,956,899,224,804,382,548,035,431,579,696,129,109,956,014,986,648,
601,406,191,231,164,990,616,431,715,459,103,625,516,499,574,339,884,634,151,
493,197,627,701,838,333,601,450,929,720,492,988,905,285,506,682,368,949,412,
263,229,138,478,874,889,649,342,216,962,611,469,373,432,926,959,501,287,713,
921,348,875,777,457,339,308,207,676,360,886,312,467,789,375,011,532,158,381,
784,763,120,250,754,815,319,066,432,238,296,180,908,982,763,716,136,574,441,
043,402,983,244,586,805,678,246,348,488,735,456,098,266,993,713,702,883,677,
158,602,263,411,056,018,616,917,245,417,404,695,440,822,183,280,454,059,505,
346,804,501,923,798,619,171,145,373,439,072,104,859,058,182,962,901,063,252,
165,011,607,234,659,599,476,896,752,771,817,634,302,553,788,740,569,431,815,
197,045,700,044,923,173,761,043,831,186,927,406,123,657,347,868,752,879,268,
494,752,097,089,843,551,058,238,173,218,822,250,274,822,805,791,967,950,704,
187,955,218,116,968,118,587,414,859,998,978,299,000,938,250,774,946,508,880,
831,680,667,683,144,606,330,431,769,491,300,463,552,273,285,646,437,150,267,
847,795,375,332,512,074,017,943,025,967,940,924,534,699,919,142,978,013,719,
660,754,291,278,594,861,221,133,563,670,856,843,491,763,801,090,648,970,121,
366,692,945,105,625,115,651,296,368,032,956,324,563,155,602,601,458,823,429,
956,773,744,082,438,530,113,243,672,450,661,647,191,113,432,540,202,900,334,
205,781,089,972,540,354,638,801,146,933,248,109,083,559,552,993,240,204,523,
712,643,655,225,627,512,104,399,543,748,656,826,952,827,174,527,610,961,393,
455,038,892,968,249,314,244,468,484,941,948,170,441,778,394,749,932,404,345,
664,382,973,800,028,539,210,036,814,224,403,810,535,793,734,805,083,444,885,
778,397,182,010,884,752,655,793,031,638,919,787,445,488,810,117,596,972,439,
890,765,051,880,917,288,106,981,781,137,398,480,940,956,129,196,310,544,764,
204,301,619,034,787,735,392,610,219,853,131,953,458,364,485,748,001,791,759,
065,770,118,398,469,910,506,971,913,495,512,647,845,571,420,814,601,870,437,
874,830,016,118,826,471,825,623,248,928,012,065,233,182,428,609,255,975,119,
158,737,563,486,038,141,744,135,317,164,244,612,857,933,511,340,669,596,006,
895,589,334,198,978,948,160,062,295,725,091,083,530,103,925,828,640,514,933,
637,884,313,218,586,471,980,311,966,306,534,570,221,964,449,955,553,918,360,
695,528,233,753,663,798,803,938,718,706,381,404,543,054,371,863,754,904,400,
783,062,322,219,713,355,357,255,480,770,455,521,443,566,175,485,792,284,106,
632,517,407,295,877,510,871,026,698,619,714,019,533,822,981,760,307,696,079,
657,599,712,296,161,724,627,392,018,728,806,757,954,233,850,050,902,908,909,
396,837,721,221,052,499,873,105,731,807,114,563,148,943,622,648,730,952,474,
400,156,175,865,529,483,499,909,181,073,887,341,038,571,010,840,594,651,220,
155,792,664,331,445,629,962,289,444,918,689,635,773,991,730,848,999,687,816,
273,191,844,568,053,392,568,705,917,834,308,486,837,736,552,536,480,446,679,
681,999,275,461,365,325,495,170,431,895,767,068,770,912,794,601,941,843,647,
883,405,646,022,193,876,275,842,098,882,781,265,956,588,351,615,411,050,291,
272,659,790,196,445,937,201,199,762,871,366,144,745,605,358,147,405,939,039,
361,851,756,735,038,052,596,932,631,043,841,627,435,686,765,280,135,344,586,
967,985,435,039,685,868,999,257,495,914,356,644,084,220,715,169,453,288,302,
038,152,925,729,871,877,511,205,187,363,916,748,203,653,963,627,274,826,695,
398,849,002,281,019,880,111,360,719,173,030,368,745,671,465,069,117,836,819,
309,527,369,956,648,412,097,312,930,587,398,208,169,974,862,587,094,632,084,
592,266,391,237,418,309,930,818,072,422,027,813,898,448,611,761,006,902,156,
884,270,859,428,999,899,305,973,409,548,402,566,590,787,415,777,240,265,863,
354,878,942,417,408,450,506,746,540,620,445,201,796,993,502,090,829,028,293,
413,670,754,219,346,573,454,117,483,745,179,780,777,902,870,264,818,801,888,
574,061,904,190,990,695,692,018,853,483,106,021,306,753,558,010,079,361,832,
788,988,117,945,290,275,338,511,373,779,423,032,204,444,137,866,282,570,531,
358,410,703,332,457,565,410,856,252,572,956,404,585,763,997,578,318,757,228,
246,732,917,309,939,028,700,364,936,757,238,084,289,645,663,139,406,080,884,
590,229,399,396,065,231,850,601,891,713,377,508,751,439,542,930,701,887,906,
793,935,193,605,996,402,019,853,045,485,300,320,165,064,065,750,605,229,353,
766,501,772,547,098,144,542,714,346,988,442,309,020,126,839,935,237,456,184,
101,391,999,374,901,050,910,232,631,846,125,020,488,537,074,125,937,336,108,
577,759,861,032,197,254,142,902,223,795,737,253,102,423,106,087,695,389,517,
297,746,938,667,779,149,851,273,286,171,761,607,807,616,437,092,137,476,675,
876,460,938,754,360,354,782,883,878,607,761,512,673,239,180,661,795,899,768,
541,136,387,542,466,940,231,733,606,380,711,715,584,669,627,039,292,596,674,
123,858,184,223,962,526,166,576,335,774,113,170,808,719,729,441,124,456,304,
522,549,549,735,255,999,425,494,481,848,875,346,587,331,954,279,604,343,332,
680,103,890,294,708,810,042,434,453,809,584,298,304,783,674,879,889,889,168,
526,064,979,069,834,855,681,703,340,842,376,956,389,882,282,264,379,062,545,
420,634,021,707,540,715,229,422,741,416,914,733,452,023,048,326,062,642,285,
377,799,846,687,714,170,417,792,521,909,004,588,270,322,213,917,896,969,660,
796,875,374,760,037,661,431,941,974,002,306,019,487,734,951,881,522,763,972,
910,019,127,429,034,675,309,494,231,235,309,390,738,664,265,983,510,003,594,
550,235,224,007,628,008,201,700,183,407,895,618,903,800,297,604,593,085,035,
775,569,686,299,097,593,487,967,327,874,157,907,496,837,819,742,801,514,349,
585,684,080,938,609,514,866,310,059,714,549,144,010,504,987,076,727,417,271,
152,449,036,340,771,427,182,725,311,052,662,346,598,592,112,829,382,925,804,
666,611,925,801,337,883,014,899,941,954,006,777,331,452,413,698,828,107,100,
425,037,487,794,372,827,138,272,397,543,705,234,793,974,510,402,201,484,607,
655,138,675,740,591,685,734,616,939,846,170,043,455,718,601,522,734,325,328,
618,939,053,293,514,687,892,636,582,632,698,605,740,642,008,533,552,172,006,
196,790,528,556,178,130,945,067,786,854,559,639,011,338,867,942,305,198,199,
998,162,408,148,966,547,883,298,365,005,083,835,271,056,357,655,579,317,647,
430,642,072,061,676,967,896,722,055,785,913,311,515,851,836,649,606,878,189,
829,844,771,466,726,333,828,643,447,932,189,779,853,838,819,722,830,136,771,
315,795,133,569,138,606,254,341,554,094,490,054,408,335,124,678,089,821,446,
890,836,729,855,823,721,345,313,406,057,857,959,306,133,520,023,814,606,520,
958,808,818,441,651,884,514,078,049,776,205,155,918,066,533,328,308,403,853,
927,118,745,274,633,049,265,075,343,788,367,705,776,650,151,312,478,362,038,
859,830,601,344,243,316,041,677,889,881,263,230,678,710,086,664,470,470,380,
744,959,805,477,732,386,964,822,315,418,094,589,514,918,029,291,140,591,895,
209,046,969,761,630,067,331,793,467,376,877,203,259,325,342,598,343,562,480,
172,546,141,512,754,288,001,505,319,426,313,352,178,597,760,461,149,663,442,
889,514,028,237,770,188,021,627,118,107,798,568,952,826,015,095,310,713,821,
034,881,722,117,969,622,724,643,864,603,455,841,647,980,238,478,238,321,176,
999,783,579,795,781,687,964,307,384,503,887,756,879,402,904,968,523,971,600,
704,245,545,995,541,129,583,199,731,971,420,009,209,572,911,063,438,084,375,
576,368,608,453,455,389,167,637,075,707,417,049,368,412,115,902,589,735,082,
490,769,437,029,772,639,576,817,371,084,890,407,932,550,960,120,213,801,613,
564,404,868,014,394,083,489,043,603,756,868,107,209,065,774,531,181,925,814,
380,883,047,768,612,901,319,473,872,987,213,829,720,510,436,850,849,002,920,
309,664,361,434,358,327,595,371,355,024,249,182,018,996,110,868,117,101,611,
223,427,297,370,037,502,844,559,242,401,027,794,747,403,302,132,946,981,514,
112,446,389,166,677,972,945,096,604,433,963,546,082,843,142,538,588,417,014,
621,802,250,272,974,119,779,639,707,213,774,499,436,837,690,320,248,123,057,
176,832,689,514,929,781,952,929,139,887,247,856,603,201,183,351,612,695,642,
940,990,036,434,509,782,785,374,512,211,855,505,465,898,467,646,981,021,002,
449,434,846,955,911,433,382,662,144,494,958,583,232,644,727,266,821,352,531,
551,236,690,219,135,374,118,226,599,310,846,353,521,008,183,024,861,351,097,
271,606,761,803,750,385,741,253,676,092,338,929,110,189,613,199,561,324,253,
948,714,676,242,338,109,794,371,643,571,763,037,861,748,654,134,134,975,568,
499,952,549,670,055,341,312,857,333,309,681,439,818,079,809,311,906,509,766,
111,986,687,941,733,494,155,740,743,799,172,039,725,216,428,243,667,533,386,
518,223,555,641,896,006,571,243,961,558,556,866,390,464,390,804,237,264,186,
064,836,112,901,171,288,851,724,695,631,646,141,785,986,421,286,753,953,041,
089,685,733,874,067,116,192,268,093,232,608,462,233,981,860,828,724,857,241,
286,482,390,327,409,098,104,047,028,118,826,214,930,693,261,900,325,078,498,
366,756,128,181,069,924,846,386,993,762,681,330,894,284,018,159,203,342,382,
337,597,563,007,185,729,513,200,387,545,266,827,526,774,127,634,298,841,382,
336,166,862,216,263,500,690,268,634,008,789,041,489,524,205,495,455,565,020,
982,412,116,172,382,454,374,760,010,154,329,809,779,803,220,762,441,346,437,
156,723,553,422,690,528,441,975,215,889,375,446,622,024,513,896,249,708,182,
790,404,826,184,363,294,468,981,606,737,280,019,792,702,347,102,210,741,119,
620,330,091,487,904,357,281,345,448,733,845,729,974,930,227,060,172,366,651,
542,140,409,955,876,508,378,667,147,944,494,698,743,092,371,986,503,149,569,
480,991,656,721,160,528,802,316,444,224,538,092,501,998,631,720,625,480,964,
607,453,012,211,421,856,700,452,997,878,588,008,735,635,815,125,976,783,750,
389,166,068,615,565,473,130,730,360,597,620,680,025,863,734,341,880,512,152,
843,746,966,507,590,342,189,136,753,652,509,583,148,366,226,703,736,595,917,
569,889,734,736,417,296,086,417,062,140,090,227,482,644,661,328,324,445,069,
239,839,128,026,040,728,164,501,395,638,460,952,371,773,888,325,849,993,372,
939,788,277,829,912,371,701,595,350,280,501,990,080,027,657,756,388,397,971,
562,794,644,736,971,902,637,620,037,603,366,869,459,545,801,412,646,109,013,
682,075,009,984,514,807,958,651,973,202,212,837,802,447,321,156,914,839,337,
567,088,585,607,765,948,975,853,924,097,435,162,906,782,176,267,727,646,027,
654,050,005,808,666,960,908,093,462,434,197,531,806,529,632,046,983,165,739,
236,544,000,816,542,578,769,931,122,088,287,528,029,447,241,628,576,016,209,
266,348,998,977,166,467,059,980,315,499,654,217,921,408,562,066,586,425,137,
728,664,731,741,380,496,743,753,994,835,665,670,128,641,424,499,898,757,614,
371,767,931,896,204,466,578,215,070,734,077,105,525,597,524,244,151,148,339,
643,164,176,126,679,152,318,558,326,285,052,559,677,246,106,717,191,098,915,
365,816,371,053,944,539,416,869,792,589,385,433,248,858,235,947,365,616,623,
934,509,155,134,546,087,846,397,980,153,215,095,502,449,489,782,348,907,190,
134,117,094,289,770,762,487,728,637,539,847,401,233,015,444,607,885,441,791,
638,989,144,265,942,071,345,675,745,227,696,992,539,719,549,927,312,671,764,
535,640,306,820,691,895,903,834,251,994,336,149,602,838,360,532,566,165,061,
752,259,189,429,125,289,693,707,733,939,103,243,720,264,482,642,713,925,260,
038,893,583,706,047,514,806,212,763,818,044,158,867,490,940,682,366,260,071,
656,077,722,935,092,442,103,700,566,794,879,633,867,268,111,955,576,805,769,
089,197,144,399,196,078,459,441,802,641,978,671,679,781,969,765,739,502,880,
119,406,212,145,310,485,799,397,771,542,207,860,580,304,660,846,493,424,318,
664,232,475,519,929,403,635,876,840,985,194,361,204,994,555,039,105,330,488,
137,053,255,967,808,471,017,167,904,642,192,598,348,592,005,622,355,525,736,
665,576,835,518,762,581,415,966,540,308,303,410,837,329,886,053,140,442,078,
292,580,341,308,224,221,710,247,959,886,301,424,261,132,430,855,403,850,250,
521,806,907,467,989,008,685,352,445,177,395,307,254,479,927,339,286,167,128,
260,319,339,991,692,815,910,030,294,299,297,545,562,200,490,388,043,945,259,
662,087,690,913,415,226,202,429,561,189,421,547,799,194,807,049,754,525,376,
617,589,417,745,539,404,502,641,545,633,691,255,328,750,823,470,292,880,540,
228,170,298,898,378,448,352,240,678,720,915,524,771,716,247,356,467,471,235,
738,883,050,075,269,512,664,910,527,059,522,327,899,618,911,260,575,467,170,
240,958,008,197,833,510,197,447,955,472,913,798,345,433,172,959,069,678,042,
174,907,679,758,342,661,494,810,861,750,955,469,978,936,125,631,854,690,725,
663,390,432,865,319,358,961,073,588,514,863,482,612,073,332,170,534,814,743,
641,653,702,175,592,989,077,014,010,528,958,189,198,811,664,102,456,936,616,
603,367,053,130,875,825,987,298,087,689,026,241,914,986,468,117,157,532,125,
591,489,626,829,254,419,800,881,029,088,443,948,878,962,812,717,361,031,366,
148,138,737,951,194,309,843,487,316,120,537,023,965,353,185,966,322,179,586,
650,227,881,575,815,780,202,678,057,523,701,571,465,541,612,532,684,671,346,
007,561,128,366,634,549,873,071,787,495,430,886,988,359,579,454,610,550,341,
822,958,411,519,426,180,689,206,453,674,485,124,957,978,897,612,656,045,899,
110,648,125,818,441,202,356,946,279,092,602,421,964,321,979,539,511,611,126,
604,698,287,496,793,229,775,768,294,051,867,154,381,217,214,102,854,660,630,
699,067,329,831,461,812,498,830,652,664,832,911,430,581,861,400,759,462,551,
592,214,898,155,214,541,945,564,268,799,147,728,027,040,221,704,025,666,470,
492,276,886,883,696,251,901,544,490,988,815,362,435,959,807,193,731,632,875,
402,762,294,201,339,132,916,006,226,162,167,219,700,243,965,221,273,757,476,
377,759,319,897,329,315,243,256,436,771,029,108,152,854,557,939,177,509,338,
024,703,428,162,833,576,819,138,018,631,985,568,999,804,773,199,771,576,667,
382,581,233,045,981,100,049,472,703,472,444,659,745,606,377,412,679,388,577,
728,996,024,566,510,498,162,397,568,725,543,660,943,849,465,359,956,547,444,
966,844,843,245,895,197,053,969,446,297,883,760,191,259,349,467,963,643,761,
120,415,086,669,018,285,906,435,226,293,650,628,984,535,597,397,193,064,407,
163,201,399,547,572,432,578,557,990,395,759,285,173,648,097,436,773,663,219,
594,529,305,402,324,271,383,477,561,878,500,029,808,800,236,836,380,434,053,
013,454,004,446,577,060,915,433,553,248,899,405,527,248,536,961,663,676,122,
050,997,819,213,142,939,606,189,815,111,149,779,303,774,658,695,260,861,032,
624,113,266,663,710,342,908,467,140,930,892,520,084,056,448,159,892,998,369,
513,761,181,331,717,733,840,047,824,664,732,286,797,546,595,027,218,805,416,
455,528,475,372,441,051,792,287,494,636,190,976,113,195,817,892,049,987,427,
792,906,572,364,140,403,766,896,208,856,175,749,566,190,971,991,541,122,493,
593,111,676,828,464,150,645,196,433,605,229,731,777,026,652,236,057,066,320,
447,309,241,301,227,266,486,951,901,078,491,507,190,256,724,136,327,047,091,
478,320,670,371,651,020,253,831,409,673,258,908,597,502,737,139,549,768,080,
920,442,780,902,247,515,905,165,610,339,396,854,437,155,508,302,906,649,377,
672,676,317,519,775,411,561,104,403,949,592,880,461,543,023,409,170,255,794,
825,941,971,306,442,542,184,872,650,042,296,374,518,362,101,594,862,013,673,
379,916,394,225,249,669,464,938,724,609,881,867,274,158,340,385,575,236,858,
849,915,124,700,233,659,542,767,219,914,908,622,548,763,341,705,701,798,628,
907,716,688,789,893,543,054,582,803,950,882,605,931,726,490,992,910,400,469,
089,155,722,367,031,351,403,464,692,909,624,154,463,876,148,516,928,453,743,
061,474,655,370,814,432,748,349,293,803,712,057,718,507,030,182,230,971,373,
238,116,719,730,067,031,611,214,081,258,198,340,660,784,541,194,431,504,593,
423,916,965,850,251,643,033,232,761,147,890,646,412,983,664,802,140,193,231,
816,176,941,710,477,227,249,496,828,375,914,583,504,483,540,020,540,120,306,
836,887,936,703,371,098,441,393,209,592,392,356,714,846,228,831,856,463,343,
637,862,051,801,498,969,221,668,787,405,494,068,161,355,555,037,937,629,197,
134,522,310,784,712,342,188,069,313,356,617,382,221,509,086,857,165,868,147,
487,503,543,279,937,510,092,703,831,284,302,890,250,974,782,593,402,536,367,
000,052,326,778,343,100,830,084,659,074,269,126,398,624,827,748,007,047,241,
941,404,396,496,722,874,544,489,708,809,800,313,098,804,548,940,433,874,957,
343,636,660,168,861,024,281,864,068,114,516,726,720,222,169,740,773,864,413,
792,538,454,347,003,456,258,851,882,478,053,822,561,568,121,784,822,205,034,
154,278,415,207,256,036,801,659,763,768,638,512,106,246,920,234,083,431,523,
761,517,712,931,049,300,569,973,539,876,345,111,425,306,782,765,645,810,224,
121,535,151,725,430,780,543,425,752,031,905,061,087,488,096,444,541,379,745,
350,990,789,568,414,061,397,995,729,095,626,191,565,295,259,116,216,344,070,
995,923,803,091,605,430,400,052,800,558,851,970,827,135,674,931,347,282,759,
228,748,932,502,523,585,233,393,530,557,819,684,862,855,189,763,090,667,253,
101,783,618,031,921,737,972,954,387,651,222,420,537,589,636,845,243,086,122,
545,395,373,968,945,639,042,855,522,119,653,676,363,066,740,586,136,943,878,
920,355,136,404,260,850,469,888,785,501,091,403,306,030,100,673,371,269,101,
084,361,325,921,888,096,486,977,785,716,999,647,579,162,573,898,764,568,229,
425,448,215,125,762,134,964,801,086,207,109,217,192,315,949,585,807,850,188,
510,188,762,766,233,753,123,635,921,155,064,009,150,002,890,684,388,893,615,
735,857,628,091,079,249,214,424,244,741,172,948,834,843,116,256,999,381,835,
794,579,499,849,905,344,991,748,909,671,994,173,547,757,713,879,795,672,656,
038,027,846,014,922,203,459,132,515,235,496,649,240,553,793,029,714,699,164,
344,700,903,469,302,552,102,161,376,113,385,613,099,435,257,924,622,162,758,
645,224,611,312,864,791,176,454,155,871,474,380,891,037,222,186,895,406,284,
615,999,923,801,743,326,585,346,065,142,045,018,576,669,326,799,236,420,402,
607,430,554,405,281,856,895,654,632,947,345,952,973,991,096,195,172,805,402,
459,030,345,568,684,944,072,621,805,562,315,201,870,391,622,784,856,160,820,
520,529,850,469,445,377,349,388,150,383,207,248,027,181,416,032,746,112,041,
906,939,621,306,002,052,372,582,576,703,094,113,570,570,595,830,404,720,534,
884,941,734,154,215,921,577,785,007,634,255,921,972,784,196,095,672,257,868,
233,447,910,496,989,582,871,689,781,553,077,329,781,983,104,242,760,836,206,
596,374,168,413,065,448,974,989,046,776,496,824,956,304,924,331,399,108,618,
194,569,914,227,709,552,734,380,776,808,508,617,968,721,143,200,653,621,261,
452,151,026,490,636,712,838,794,327,188,794,401,950,501,836,472,156,615,877,
981,417,988,034,188,932,254,973,148,952,981,886,473,517,925,784,483,733,750,
895,098,761,811,014,728,534,041,109,001,605,200,834,313,307,681,999,280,361,
161,737,055,088,350,633,622,538,830,364,792,989,408,007,352,367,565,349,169,
248,060,478,331,099,124,510,674,347,747,708,492,763,027,371,993,854,275,040,
918,246,047,545,562,227,145,011,911,674,604,450,539,307,150,232,333,146,407,
134,386,608,272,586,794,500,326,402,926,425,000,994,401,539,345,267,615,719,
566,511,882,595,922,332,562,568,330,258,320,256,829,986,505,936,376,048,931,
822,821,406,654,647,188,140,741,812,636,855,494,782,685,108,283,968,377,395,
995,311,005,653,541,845,007,697,056,968,944,960,317,687,886,796,774,344,027,
324,645,019,489,139,850,438,922,023,349,085,702,115,050,768,942,217,891,276,
231,760,096,182,616,587,841,224,835,149,264,829,725,145,353,290,450,748,106,
027,054,433,017,328,459,313,495,618,679,049,595,873,770,660,401,784,170,479,
690,825,182,738,071,144,138,376,710,235,809,527,914,298,178,100,961,123,547,
518,106,723,766,190,317,982,446,943,169,565,276,854,559,907,960,759,494,736,
697,362,449,638,833,480,078,711,796,810,355,807,550,104,589,308,302,997,729,
457,536,256,489,908,880,291,101,288,584,537,767,057,823,919,874,724,693,823,
056,663,250,620,607,000,164,216,400,474,001,930,014,273,982,523,578,274,496,
878,698,203,081,081,143,328,600,183,232,038,451,033,065,509,951,918,056,648,
915,969,912,428,929,620,637,961,141,217,761,959,840,884,788,100,103,155,209,
016,534,522,543,649,384,736,349,923,366,491,323,834,558,295,480,908,388,230,
322,735,966,202,944,392,600,560,471,743,776,959,095,866,657,808,065,840,838,
458,334,867,931,802,405,831,187,184,455,651,502,746,922,749,802,868,789,143,
786,688,281,536,000,214,304,254,348,752,318,894,338,801,822,983,730,423,866,
278,726,902,380,602,409,554,093,728,488,617,560,773,123,385,860,570,775,785,
101,206,792,933,592,574,943,452,991,573,715,686,287,060,359,871,551,178,899,
560,710,233,621,270,529,294,712,736,100,234,828,187,963,985,130,588,956,361,
878,832,342,064,666,264,475,842,475,020,535,354,518,210,453,309,729,492,537,
090,326,090,771,855,461,857,666,480,747,444,645,010,136,647,500,189,948,889,
184,670,301,160,105,799,264,107,338,121,687,563,188,430,119,222,823,994,170,
482,642,787,745,425,332,796,487,878,082,457,123,829,471,844,873,590,128,873,
843,217,798,286,388,247,952,180,146,593,717,962,669,758,303,783,070,474,107,
023,356,401,883,670,123,944,625,397,036,333,362,921,916,953,818,466,842,588,
584,735,293,777,401,568,537,579,514,520,063,374,455,324,440,493,292,337,146,
050,558,745,274,756,681,997,353,982,319,671,399,989,099,255,419,959,475,095,
513,940,587,859,699,180,178,404,557,594,895,026,295,276,984,914,689,454,013,
134,006,387,670,275,560,952,820,722,715,439,078,441,607,142,576,314,820,004,
592,374,330,316,850,933,425,399,042,351,606,061,982,234,887,193,283,371,475,
576,720,622,985,031,564,170,645,076,126,379,283,857,675,524,289,547,634,405,
523,981,587,843,157,017,746,656,591,431,409,159,421,750,263,544,309,243,835,
457,040,659,277,487,845,049,232,967,460,004,559,725,344,539,259,542,709,446,
290,373,084,667,774,891,225,571,431,046,813,494,839,180,910,390,499,695,606,
819,376,300,174,258,522,852,297,392,232,001,908,167,637,258,177,376,523,769,
272,317,440,718,592,502,743,692,229,218,661,112,633,902,003,863,623,118,222,
661,178,732,865,730,223,080,988,500,720,992,813,628,300,172,085,099,356,366,
437,444,905,161,044,568,873,162,993,648,509,098,120,848,786,700,464,062,730,
193,680,300,005,754,111,805,642,715,618,946,229,424,603,365,512,362,299,293,
040,346,813,257,576,980,891,116,826,022,967,048,889,403,545,579,669,723,682,
950,829,072,773,485,707,228,811,282,546,316,715,380,581,647,861,845,334,116,
369,272,071,275,496,244,587,302,304,149,372,972,547,179,463,214,291,509,074,
698,585,285,665,833,890,023,914,262,504,118,392,483,754,631,653,176,584,126,
252,216,814,450,542,893,789,040,822,980,422,202,609,981,757,570,248,505,533,
735,793,088,792,928,507,746,473,687,947,302,082,651,889,210,408,608,927,126,
822,309,463,602,397,479,136,812,203,710,935,892,448,809,161,470,874,295,351,
013,337,390,810,132,265,795,370,594,651,912,508,188,157,065,988,606,196,549,
631,637,647,819,455,475,237,438,261,732,027,183,783,158,377,225,262,745,193,
256,565,875,179,851,215,649,485,746,790,309,404,720,645,447,077,980,714,729,
280,550,789,401,537,750,975,166,089,720,385,778,303,641,020,437,863,168,285,
371,283,099,523,320,563,977,745,450,428,320,983,326,617,576,281,613,523,016,
044,749,041,877,128,541,134,381,565,476,751,579,397,476,348,262,206,507,890,
965,434,920,509,705,238,254,032,234,358,647,636,211,799,348,398,258,580,415,
157,355,655,428,826,458,229,929,479,978,261,518,095,535,876,867,017,641,461,
740,677,958,212,556,668,109,164,226,329,158,939,184,190,933,933,824,590,623,
838,032,487,392,797,272,907,611,817,341,524,689,899,859,605,423,543,848,582,
326,200,763,977,753,269,686,200,730,835,276,576,734,863,966,970,328,896,195,
657,722,189,086,917,082,814,481,964,592,923,718,494,602,649,506,386,141,134,
628,719,211,697,536,961,179,647,287,887,311,017,998,566,827,805,199,064,727,
473,276,561,239,364,842,081,792,277,991,518,891,985,468,870,583,892,504,640,
587,663,109,282,353,384,040,379,357,447,686,508,082,609,495,754,319,063,410,
491,427,978,179,066,636,030,506,052,883,091,004,298,886,322,850,532,164,123,
260,663,917,751,977,497,953,609,095,434,703,959,233,923,975,054,758,972,801,
900,042,367,183,520,772,657,362,018,712,448,193,970,737,706,110,615,360,791,
764,273,877,908,891,406,534,629,841,087,519,712,315,363,365,734,312,410,382,
107,935,427,072,715,840,602,175,264,647,926,575,762,134,443,904,456,359,181,
417,368,404,721,771,658,129,042,513,457,890,371,562,138,236,205,161,174,252,
012,456,099,028,974,093,998,055,574,450,180,958,957,190,835,777,493,396,480,
427,794,357,084,708,525,069,089,384,399,320,587,388,742,032,367,890,951,427,
171,516,870,184,452,334,919,881,540,051,017,546,186,404,493,407,441,731,331,
781,308,003,280,952,362,272,559,803,420,199,602,221,189,925,063,077,365,074,
014,271,928,148,721,674,601,829,077,475,028,054,636,898,847,878,817,274,071,
027,488,383,914,542,450,322,260,041,527,377,613,894,424,449,813,016,983,611,
723,982,275,925,589,853,133,787,050,541,050,543,209,309,401,415,630,871,119,
073,853,203,260,292,018,349,370,447,356,070,633,420,076,380,485,817,019,446,
010,185,340,840,900,259,193,441,388,196,580,223,623,375,983,187,591,713,601,
864,924,257,864,051,650,146,480,038,315,595,858,000,242,194,819,956,756,500,
131,186,234,985,939,868,503,987,353,309,422,095,881,076,751,079,799,540,095,
475,854,936,508,927,118,133,859,073,789,224,865,404,010,922,832,865,453,291,
794,945,781,075,724,154,263,294,271,391,767,583,352,753,930,526,038,603,739,
451,835,796,045,871,010,556,688,502,105,195,760,612,615,970,008,744,781,083,
245,866,161,561,256,273,552,864,836,196,116,767,529,334,853,539,951,841,241,
340,661,488,948,586,875,238,422,424,151,621,349,608,986,873,932,787,827,727,
676,316,779,932,933,583,004,969,785,595,527,023,565,029,296,279,185,022,387,
108,569,608,146,287,469,029,011,674,432,743,193,443,002,863,924,773,176,884,
727,871,840,480,736,505,805,654,971,650,733,584,739,862,805,605,037,185,817,
674,750,112,013,654,806,573,380,610,511,444,230,882,268,041,425,689,179,228,
586,697,014,254,634,709,081,166,602,092,460,865,885,966,100,362,689,416,702,
993,596,132,926,094,629,958,986,091,079,684,035,274,165,911,573,825,856,031,
305,642,295,948,220,369,247,202,338,135,481,401,946,867,903,545,021,411,413,
676,788,353,758,098,997,179,955,458,827,993,415,103,338,599,486,318,760,675,
289,290,838,282,133,373,282,508,781,892,854,015,403,730,542,794,874,584,598,
966,542,095,091,992,615,837,801,956,740,211,856,807,937,524,758,719,780,656,
194,050,499,199,292,045,017,069,773,821,841,774,324,539,374,209,286,400,442,
648,650,844,630,112,529,979,513,360,558,545,238,387,698,576,808,857,518,279,
676,806,660,024,492,903,662,127,788,941,357,315,231,703,161,017,774,568,322,
147,602,075,186,139,618,166,820,472,449,539,718,964,638,969,181,941,968,962,
682,892,249,706,338,695,765,405,533,249,734,964,279,940,608,180,885,735,696,
675,044,696,650,221,728,458,082,039,497,372,835,604,603,116,693,802,305,680,
443,259,643,408,789,770,972,713,429,684,999,085,934,383,679,488,482,278,785,
074,983,568,977,580,448,095,382,732,991,933,824,815,452,233,571,499,985,990,
895,769,355,047,594,969,949,002,378,004,007,674,988,794,484,068,273,589,943,
781,196,211,509,705,512,836,496,641,638,954,582,381,209,109,504,201,675,674,
191,488,622,144,750,750,489,388,742,375,386,680,387,880,987,252,307,790,865,
931,378,144,408,334,429,250,748,234,185,995,640,420,681,465,782,979,791,292,
966,460,898,177,765,991,701,706,236,649,902,980,441,410,376,068,678,601,290,
096,130,071,217,261,340,360,271,908,698,260,873,172,824,609,775,944,902,966,
011,635,790,652,203,653,892,935,875,712,390,977,582,384,427,171,727,417,221,
718,254,871,264,409,282,624,145,249,664,884,509,826,408,228,232,612,670,949,
112,999,931,035,683,871,394,699,602,779,581,092,969,401,243,023,498,926,520,
992,159,337,379,842,709,289,540,540,430,522,775,085,945,127,271,873,078,454,
628,119,064,182,985,428,061,314,780,918,329,307,190,549,038,379,636,586,860,
124,522,122,845,009,234,876,280,032,424,776,144,978,035,920,941,726,700,483,
902,983,726,034,320,377,049,005,230,118,678,308,288,032,942,507,993,987,334,
590,075,966,771,170,011,604,955,273,761,053,605,314,124,496,312,883,267,607,
261,277,154,634,038,150,708,264,263,252,101,238,767,614,674,649,570,139,293,
108,059,658,035,972,852,923,188,967,523,251,059,964,988,758,687,314,633,772,
361,735,206,512,971,784,748,033,056,592,142,034,637,295,924,048,185,197,400,
209,539,744,731,652,955,198,850,490,533,172,964,653,693,780,820,208,892,989,
968,965,870,317,669,408,118,977,322,739,301,003,149,846,393,304,978,196,995,
843,978,475,624,765,257,206,434,880,759,022,706,374,423,345,214,054,499,039,
450,008,530,916,503,760,844,048,868,914,270,990,522,358,155,408,519,121,448,
341,042,018,725,477,386,178,041,006,721,742,427,146,130,627,474,884,551,937,
161,583,046,755,972,617,093,733,804,921,451,122,503,479,120,734,053,248,130,
660,173,449,777,021,529,840,267,315,884,409,094,826,635,233,410,143,659,629,
311,359,937,667,466,459,436,418,336,392,879,043,815,776,728,362,542,406,808,
340,233,488,084,905,454,272,427,346,903,654,308,487,324,319,463,439,737,605,
640,892,930,778,143,877,838,680,446,754,722,118,824,527,126,284,621,091,056,
412,466,190,926,966,717,748,327,866,353,574,021,860,144,578,348,391,065,633,
601,483,066,190,229,601,441,132,870,621,357,934,988,616,984,467,038,020,429,
160,867,153,944,283,914,107,435,795,233,749,549,968,104,936,738,929,933,538,
257,366,288,789,072,919,058,411,187,967,410,534,742,443,152,354,112,153,001,
572,676,378,521,471,282,008,916,697,085,569,038,337,001,364,891,265,123,224,
050,135,393,728,175,366,726,152,452,592,368,582,193,722,142,594,700,297,658,
399,606,051,775,571,637,845,822,076,862,142,183,006,998,501,203,705,463,593,
630,420,440,033,778,394,290,543,888,147,807,142,802,637,452,799,058,263,799,
372,158,122,894,672,634,904,458,555,732,839,207,059,633,301,991,851,656,186,
164,612,240,593,267,734,139,975,850,861,293,116,332,604,223,140,607,644,204,
136,712,619,430,031,653,937,613,851,449,689,554,276,973,714,482,073,310,156,
707,643,354,637,934,130,655,454,145,394,592,193,392,078,514,358,070,833,880,
735,726,817,796,922,000,340,519,764,761,456,168,893,362,268,340,335,527,669,
439,436,858,957,894,533,541,599,287,292,141,477,015,554,991,264,992,572,899,
751,763,613,360,136,384,075,595,024,856,693,936,051,960,311,050,117,899,967,
815,034,126,194,335,422,358,827,972,101,101,423,500,040,440,370,035,393,965,
508,447,368,835,607,272,458,787,267,791,981,587,142,461,379,987,811,006,433,
689,278,027,310,471,601,545,903,767,783,265,161,836,886,061,899,153,800,836,
415,123,672,182,140,033,613,246,356,841,329,087,536,043,875,249,193,491,924,
290,325,683,908,115,708,641,990,814,853,164,365,050,981,577,834,236,489,986,
407,630,002,334,122,438,340,021,398,130,994,425,053,025,033,121,447,192,415,
153,265,787,915,289,726,395,264,807,086,619,682,105,717,548,000,150,445,423,
122,833,035,094,631,865,433,608,907,527,325,543,398,514,471,171,667,501,598,
360,392,015,127,276,148,361,546,470,723,340,582,883,788,649,024,447,993,924,
438,230,387,676,023,591,836,899,963,260,361,701,222,851,219,766,851,760,085,
333,443,275,142,376,441,707,788,248,015,954,385,792,526,661,812,810,871,622,
578,851,559,427,086,632,834,921,138,473,833,934,862,351,310,791,915,654,612,
977,781,893,275,318,283,624,447,068,776,098,971,020,235,214,615,577,507,524,
837,294,554,470,707,963,437,381,513,341,168,641,252,915,943,337,581,240,891,
783,774,586,425,587,351,893,807,468,193,350,882,441,747,903,175,193,690,365,
047,344,761,877,200,912,192,303,327,116,739,388,503,954,480,815,174,250,728,
648,673,525,153,630,155,474,611,903,999,246,816,071,706,781,769,043,758,675,
265,939,761,764,356,757,867,166,105,616,148,158,996,290,441,096,036,192,729,
548,553,442,412,275,772,857,461,403,657,797,278,128,351,867,234,095,445,717,
502,170,075,703,691,463,947,988,257,648,880,862,918,338,541,305,239,249,004,
134,834,606,016,715,919,812,386,104,429,739,295,885,554,081,684,312,574,345,
868,477,545,482,803,137,491,888,138,132,031,864,977,813,211,254,555,794,479,
832,478,069,178,102,575,964,937,260,613,582,477,860,670,329,536,965,209,130,
714,997,901,571,876,956,912,201,510,705,617,335,077,658,877,897,030,021,534,
945,343,553,063,979,292,572,054,649,271,083,074,781,145,169,198,849,581,720,
767,722,942,535,693,114,142,300,666,876,748,710,918,869,229,434,755,616,451,
676,699,215,522,717,565,090,758,649,953,756,792,679,627,043,133,207,221,369,
327,794,846,607,160,919,244,832,003,635,807,143,222,762,921,712,808,886,414,
709,419,752,639,608,438,040,644,455,120,825,552,585,176,512,348,725,262,753,
511,425,941,744,071,205,199,453,823,742,238,209,655,034,653,597,823,666,642,
965,392,668,742,724,887,107,836,366,545,021,911,518,268,852,615,867,232,025,
945,338,578,831,068,281,899,675,927,785,564,813,656,411,691,416,277,890,263,
156,242,705,821,356,793,169,616,527,471,927,421,777,506,416,556,932,485,789,
418,628,917,893,655,166,155,903,836,495,637,767,316,903,091,768,581,705,696,
357,154,157,556,783,710,276,315,945,775,668,750,362,924,410,122,268,773,994,
190,238,713,250,410,245,473,696,089,938,419,295,965,992,183,771,541,458,064,
223,253,889,422,335,580,815,078,819,651,407,712,745,826,262,845,027,270,671,
914,035,291,359,706,763,667,692,958,893,952,310,686,495,852,757,541,953,821,
484,472,572,796,066,458,717,143,252,424,854,986,427,827,578,807,290,280,696,
607,268,962,561,266,268,179,843,165,182,685,449,672,239,159,287,383,175,002,
366,026,001,168,375,420,363,697,325,053,771,546,148,322,362,807,941,497,576,
984,052,785,960,139,527,656,911,530,467,207,549,117,316,321,108,479,551,893,
735,685,921,033,518,537,929,374,544,111,569,254,049,178,492,326,847,635,062,
375,891,216,398,642,176,556,596,677,647,444,046,230,963,749,131,739,585,346,
278,284,422,283,201,461,946,890,324,833,560,689,854,896,300,681,746,603,775,
539,402,592,678,536,998,171,307,561,732,800,370,962,513,921,554,869,339,523,
042,177,190,004,548,428,321,855,955,222,427,089,850,375,458,893,702,060,161,
611,621,287,517,639,410,553,217,242,851,754,027,729,281,949,995,642,232,145,
444,090,744,336,925,200,589,632,298,819,579,816,601,798,587,656,022,583,551,
709,005,290,160,895,236,349,987,238,690,219,829,876,761,191,867,877,678,356,
912,869,210,650,519,777,972,907,968,479,837,556,950,415,245,678,856,086,605,
843,095,505,305,705,440,389,283,132,455,246,098,965,618,213,500,767,099,250,
439,041,626,136,070,989,294,617,454,838,373,418,931,989,322,312,028,793,537,
384,368,931,419,714,726,611,179,455,843,222,685,860,857,092,940,889,035,787,
689,875,054,265,121,881,502,177,155,699,351,688,400,025,933,133,793,199,885,
164,179,002,952,364,190,259,263,795,771,033,708,444,811,963,501,394,654,900,
556,710,294,170,693,563,744,725,015,306,603,777,786,962,425,639,953,322,550,
275,247,791,847,727,762,600,354,934,858,021,464,164,294,694,820,514,278,258,
030,307,187,434,559,483,677,813,457,889,593,271,852,735,846,948,892,072,221,
585,219,813,677,829,360,062,488,140,718,173,421,732,979,464,519,880,062,358,
816,857,491,082,195,489,492,434,903,305,906,211,817,175,210,822,048,884,902,
822,829,366,320,717,401,219,172,831,946,862,525,774,878,651,219,576,314,614,
584,096,509,043,128,979,938,503,089,616,181,622,160,186,122,235,454,121,309,
604,748,103,359,947,475,396,715,818,480,030,310,112,454,921,684,357,619,630,
098,707,690,192,117,843,091,892,349,634,353,693,185,142,037,288,809,822,932,
296,198,965,568,475,617,269,646,873,992,375,668,638,629,313,376,731,617,803,
977,828,858,663,459,102,126,638,865,274,220,736,820,138,739,284,512,956,141,
455,519,753,943,734,479,290,059,256,280,598,930,680,821,114,891,701,991,996,
347,634,568,881,988,070,065,011,180,026,542,212,811,885,818,668,745,170,313,
852,541,081,800,381,114,844,730,787,071,045,721,411,472,864,055,160,407,482,
124,532,354,652,918,783,908,713,199,909,649,013,687,409,816,621,415,433,018,
551,079,733,823,257,337,931,196,129,550,207,342,140,666,245,875,590,268,432,
133,826,140,973,179,124,272,582,911,150,796,597,526,300,358,979,471,944,747,
223,502,487,931,007,731,520,677,269,768,793,759,525,757,529,116,166,152,562,
544,842,276,439,182,526,993,581,553,509,375,035,092,348,333,656,015,567,347,
716,664,566,018,636,931,229,495,959,570,676,266,414,738,239,110,625,865,379,
801,323,653,829,609,295,481,462,273,958,389,753,402,922,483,913,837,190,346,
497,250,030,599,211,741,967,876,881,273,608,733,125,662,199,736,885,681,327,
069,963,524,280,710,945,962,045,591,597,753,043,028,861,488,920,215,585,271,
963,981,175,323,215,535,630,289,078,009,953,432,547,531,597,330,877,931,130,
448,704,948,763,523,046,654,010,619,410,869,524,764,824,477,726,897,961,343,
111,822,644,263,855,107,219,627,379,849,385,300,213,130,169,032,758,553,957,
091,041,859,987,894,090,376,099,036,563,446,414,291,468,319,324,250,049,599,
007,372,916,846,621,622,646,262,185,572,254,606,416,384,486,737,051,736,671,
092,695,735,094,602,639,734,230,461,179,734,453,568,417,238,378,977,099,192,
114,428,979,790,943,938,665,329,215,480,986,873,771,212,955,367,027,217,689,
383,602,436,253,232,235,454,224,788,703,220,945,901,036,819,510,316,812,675,
809,798,416,315,765,205,915,128,670,214,903,016,074,456,799,919,421,783,181,
292,235,427,143,507,018,651,806,446,444,107,991,194,596,310,122,116,078,219,
719,891,357,431,019,131,001,112,229,374,193,432,907,183,246,273,302,401,595,
734,189,765,697,409,983,019,969,981,152,577,365,637,937,080,095,908,221,773,
844,102,231,577,000,533,313,770,308,424,753,869,718,061,386,152,690,538,605,
927,863,653,175,272,308,936,607,378,115,772,685,657,331,905,662,891,337,614,
046,154,581,341,212,516,113,309,833,337,655,347,998,764,591,246,809,195,331,
918,225,655,603,424,889,430,491,134,194,503,768,320,800,299,787,609,352,354,
196,198,846,470,485,017,428,500,477,678,669,146,002,403,974,479,653,894,125,
059,207,639,662,216,897,004,574,796,189,331,419,687,009,517,987,457,627,091,
509,151,441,258,612,361,574,358,638,986,269,390,881,942,826,505,026,150,465,
494,422,809,157,085,090,677,673,730,332,486,931,654,245,293,314,062,569,134,
651,408,138,611,343,799,953,037,605,595,056,394,517,556,231,699,442,454,977,
066,427,370,036,078,053,490,183,518,190,281,427,459,658,897,918,496,276,638,
860,356,585,842,093,440,431,610,682,356,485,068,513,651,010,523,690,407,823,
707,592,795,556,034,169,607,378,673,691,785,252,391,270,522,536,075,337,441,
731,992,194,936,137,420,545,811,693,023,630,280,466,099,179,863,584,455,641,
276,860,338,387,346,788,288,061,858,608,307,299,545,601,159,987,875,176,774,
476,368,373,647,695,001,428,359,035,883,088,983,217,851,846,684,974,635,347,
922,172,497,217,897,650,494,765,867,781,216,655,073,039,188,238,866,754,848,
004,077,902,761,883,744,876,385,879,701,802,132,498,113,130,890,027,896,365,
937,934,964,657,867,123,486,924,802,177,157,663,206,782,590,481,739,914,174,
667,599,573,380,801,083,366,924,738,316,840,396,590,014,065,196,182,502,308,
955,957,911,943,348,659,939,219,186,174,495,813,493,562,750,438,237,889,617,
635,522,908,954,004,914,826,833,485,293,031,230,582,202,668,373,115,470,810,
737,146,477,059,921,415,972,818,225,831,427,448,447,201,292,946,751,585,385,
997,879,117,443,574,043,669,559,462,565,866,515,353,483,795,524,043,405,539,
744,069,944,953,928,051,656,893,176,826,904,741,171,246,618,111,078,870,223,
635,053,151,379,988,388,693,483,800,179,386,633,062,669,448,687,215,934,534,
686,718,389,984,528,074,404,347,916,287,936,504,617,224,800,533,353,694,778,
376,734,429,641,106,081,607,954,222,702,025,810,184,623,535,189,237,343,548,
614,184,818,205,205,215,627,335,273,663,602,960,783,247,034,198,342,595,645,
630,891,872,655,947,125,780,763,624,497,353,436,686,997,943,357,923,366,343,
620,590,170,828,391,490,990,482,135,727,469,219,096,533,510,804,634,261,017,
130,442,797,724,740,515,195,413,837,965,246,675,038,198,090,836,987,489,453,
751,624,780,166,537,396,615,667,024,328,153,128,685,202,772,778,619,842,680,
137,674,706,925,855,882,075,677,400,098,144,892,604,522,619,602,776,350,423,
198,588,204,933,725,818,377,557,712,549,224,268,518,813,156,328,641,612,810,
486,060,382,891,317,840,492,800,885,195,490,865,740,118,354,586,691,867,212,
845,204,708,362,329,492,878,999,515,755,534,097,292,987,133,936,033,332,434,
979,931,971,611,706,247,413,926,136,654,891,245,098,086,727,149,425,960,129,
283,189,046,307,537,834,097,841,270,606,943,708,236,576,517,273,415,002,626,
422,717,448,396,003,361,044,581,024,262,689,676,590,979,757,951,692,084,567,
681,636,617,695,929,895,732,849,092,742,946,280,692,512,570,909,608,392,205,
595,581,258,052,947,862,620,654,999,170,963,428,780,605,889,277,376,879,054,
986,679,601,575,393,088,377,545,947,524,281,261,684,514,484,852,127,663,665,
218,006,828,718,745,268,414,591,502,876,286,441,971,244,386,707,817,065,912,
820,223,853,242,418,679,239,320,554,603,895,364,500,840,712,950,939,188,266,
062,540,621,669,610,450,420,898,536,777,543,553,794,987,872,217,432,646,600,
348,843,036,788,329,196,191,297,481,164,904,925,685,221,095,539,158,971,699,
183,633,071,856,269,126,736,100,110,723,808,692,928,896,674,571,761,469,823,
517,832,959,209,758,924,671,688,734,720,732,578,257,905,173,775,281,128,255,
450,814,324,695,262,360,114,762,046,044,963,503,839,381,836,240,941,911,279,
079,210,876,636,926,604,093,234,914,093,350,220,631,533,948,087,582,495,570,
100,533,033,157,662,783,771,804,248,898,382,176,777,607,483,560,356,407,471,
214,187,819,507,434,332,780,926,070,925,175,469,136,278,281,853,660,886,219,
827,381,723,610,245,476,124,585,526,601,801,031,562,262,231,906,429,034,572,
670,717,980,280,552,221,609,256,248,752,908,732,132,066,533,374,580,269,474,
357,505,486,921,384,063,847,152,971,122,509,005,384,473,372,252,136,516,127,
967,502,634,992,435,452,020,287,049,154,554,452,644,044,320,055,747,939,213,
767,272,146,660,791,770,059,045,503,936,435,284,779,108,110,430,024,702,483,
322,661,389,779,505,506,531,407,045,357,746,057,172,848,965,702,575,472,542,
952,530,655,228,225,883,554,576,304,270,734,073,221,734,449,272,941,240,755,
492,639,213,892,389,582,878,026,077,289,610,839,603,973,012,438,474,893,097,
200,826,307,892,988,231,901,519,235,657,543,061,930,687,592,722,589,098,018,
970,661,483,343,306,731,354,281,101,747,192,692,196,628,010,241,850,178,110,
806,174,588,086,888,410,427,672,653,126,082,502,457,616,824,407,596,275,000,
546,802,634,020,747,943,791,610,836,503,655,286,989,859,922,028,948,152,397,
234,481,403,219,912,996,122,752,122,597,550,975,926,856,563,346,083,040,989,
654,541,661,613,125,998,963,229,118,109,491,854,080,620,311,872,269,961,115,
220,843,582,538,874,097,011,138,188,046,339,922,149,287,274,217,417,348,671,
229,743,860,446,428,038,485,854,612,038,354,735,483,358,635,914,509,862,029,
844,046,501,265,421,649,031,340,289,221,643,429,287,712,335,985,355,712,130,
243,698,234,624,505,518,476,468,203,928,669,894,165,842,035,653,101,962,380,
989,492,685,116,730,070,169,345,473,463,905,190,816,127,692,437,875,620,601,
060,032,352,158,163,982,378,898,698,247,024,092,718,507,058,837,917,748,402,
488,656,887,730,538,360,156,054,913,198,914,743,321,405,546,770,720,860,345,
286,415,217,102,942,610,234,854,807,923,914,005,129,820,000,421,965,253,359,
443,310,310,965,748,149,538,727,329,556,969,741,079,560,460,992,646,732,072,
997,827,998,208,739,747,618,254,881,051,683,582,472,164,922,869,836,091,437,
106,534,062,188,344,671,663,998,796,230,643,366,321,874,004,136,355,033,734,
309,164,611,803,671,670,501,072,450,654,672,573,455,741,083,645,539,800,295,
830,537,297,056,968,701,581,693,073,780,344,004,571,716,037,021,622,626,741,
439,902,157,228,372,929,958,318,517,531,867,681,072,406,623,017,777,940,670,
165,919,657,872,310,149,316,370,733,586,223,337,251,300,018,601,891,097,065,
385,238,379,749,000,714,482,265,452,842,655,662,381,529,145,751,327,319,301,
829,317,170,390,941,459,299,950,227,058,866,463,216,025,683,560,591,685,981,
537,440,775,043,003,602,154,895,917,142,301,048,535,809,199,356,192,767,753,
832,555,899,355,859,611,559,885,628,225,494,788,102,293,034,894,761,587,137,
863,107,825,435,096,586,039,022,413,634,308,809,679,995,389,195,148,090,425,
984,585,310,759,457,413,307,347,498,499,854,714,137,737,239,617,103,326,549,
782,317,918,743,261,117,687,752,264,238,894,682,455,351,835,889,340,487,269,
388,360,675,775,264,246,737,159,144,213,826,637,176,200,680,386,014,054,563,
133,783,326,990,273,373,214,535,751,177,462,044,789,892,206,810,342,129,051,
395,558,894,120,121,283,496,851,977,683,549,171,457,270,718,979,853,414,274,
803,120,061,648,679,456,407,137,479,090,841,551,348,467,045,376,776,137,749,
659,360,052,540,154,927,519,636,152,491,367,070,643,197,003,962,440,428,584,
094,169,607,678,897,820,109,969,889,972,156,046,389,468,231,653,228,358,474,
231,302,391,688,521,354,237,396,154,842,280,649,435,061,255,404,294,598,629,
714,633,881,938,487,878,644,302,007,266,124,760,437,592,325,038,593,394,411,
533,833,468,130,756,321,922,048,476,319,563,978,933,280,423,584,586,460,717,
658,076,996,789,203,478,508,906,450,437,525,290,874,305,978,302,914,451,090,
403,252,839,397,162,239,270,900,314,426,819,495,035,253,020,961,689,626,240,
212,004,975,235,320,703,295,573,158,773,309,197,280,950,503,745,986,574,197,
241,605,684,473,187,621,220,714,079,134,177,031,892,683,722,042,417,385,480,
021,180,590,813,765,264,539,221,655,024,309,536,174,231,691,052,841,894,543,
635,986,521,323,257,194,395,197,025,758,662,376,877,416,341,554,921,273,740,
067,933,960,476,532,875,013,271,323,506,625,101,770,773,402,431,650,413,158,
947,872,457,602,810,397,615,722,189,252,263,976,595,213,009,301,901,747,135,
540,928,712,161,386,741,964,823,361,402,061,973,048,499,524,310,512,381,133,
092,745,102,631,734,909,960,439,146,110,165,040,182,415,038,183,227,926,968,
331,819,135,448,425,686,627,275,557,119,969,200,142,955,012,518,209,089,109,
146,392,825,132,458,934,160,579,148,792,168,926,824,022,248,177,230,510,314,
316,796,906,046,781,322,015,295,185,817,087,581,927,205,233,182,645,451,483,
521,122,737,287,349,733,874,462,368,081,858,997,990,444,058,573,033,037,828,
778,710,424,353,315,157,713,175,012,271,494,811,166,397,475,654,260,741,043,
382,707,119,872,106,486,795,524,483,980,471,884,523,916,826,655,460,612,418,
484,532,839,965,309,054,828,069,197,161,670,530,649,335,901,542,714,755,771,
338,607,317,855,872,555,228,339,514,482,086,339,075,773,889,822,313,486,505,
914,935,389,380,952,838,585,627,561,871,962,569,592,520,386,573,284,403,243,
214,773,383,879,318,182,079,658,153,640,503,026,555,030,566,927,455,574,860,
491,548,278,183,477,649,864,081,296,697,392,540,562,991,946,269,101,634,564,
703,187,402,592,669,090,187,436,597,600,611,189,323,540,174,846,900,608,273,
076,628,219,071,118,916,524,016,959,161,179,328,610,994,173,352,480,927,255,
275,184,239,617,294,275,811,361,547,816,441,021,482,125,535,313,753,224,119,
424,979,389,145,977,640,436,508,926,972,524,021,296,213,095,163,664,850,735,
675,931,783,557,049,403,514,229,965,247,575,734,261,747,825,775,894,853,322,
119,063,704,273,823,737,483,648,764,461,707,032,581,118,326,043,113,619,642,
542,528,837,997,671,862,139,797,247,973,395,012,930,955,193,378,991,719,055,
642,612,731,700,832,541,102,588,412,333,267,677,586,959,547,748,534,953,719,
979,033,433,247,010,206,976,455,195,381,658,959,929,851,933,654,966,080,102,
828,192,550,943,080,847,816,378,621,557,374,717,527,118,902,418,190,307,794,
046,009,426,819,619,938,709,496,819,576,881,781,442,394,652,019,903,982,708,
834,993,151,694,803,580,824,197,365,431,213,176,572,957,334,729,948,444,176,
150,965,088,799,129,088,574,980,451,145,705,745,827,654,920,747,358,621,006,
368,233,670,013,323,518,548,869,847,053,487,459,611,405,883,945,351,230,405,
786,265,421,636,450,653,403,334,451,392,939,008,034,058,195,193,072,380,843,
602,763,103,658,071,389,247,304,767,209,329,128,327,137,021,071,388,434,008,
121,487,608,079,635,216,235,672,890,484,043,183,691,640,400,385,688,037,752,
929,010,334,567,748,962,038,288,655,701,475,611,113,231,880,937,351,425,553,
392,215,058,747,965,884,469,863,200,317,056,369,074,969,578,885,819,652,359,
502,788,101,787,547,341,934,770,174,015,688,360,037,742,286,615,435,682,309,
423,542,871,154,757,865,028,105,986,397,504,750,581,327,264,966,209,578,278,
578,392,994,435,221,760,491,216,186,669,679,591,304,411,839,129,911,247,943,
599,998,951,555,347,905,080,116,282,966,645,530,719,471,022,807,873,407,164,
987,033,077,927,469,686,201,554,086,254,466,513,133,901,802,087,535,891,586,
786,045,765,766,597,229,370,477,618,107,026,304,163,248,853,617,592,251,954,
603,737,236,377,063,116,463,105,361,382,286,989,266,928,957,873,845,660,909,
198,518,090,989,892,290,782,241,713,272,639,536,726,948,608,249,181,777,369,
643,434,848,216,369,650,685,182,862,005,407,850,901,018,226,653,571,022,077,
757,573,507,870,202,389,619,188,299,945,619,504,221,741,041,288,331,215,764,
162,577,855,647,616,584,459,991,481,158,026,138,185,769,583,261,127,387,149,
596,172,758,118,659,612,631,592,317,768,521,621,777,407,590,139,280,684,455,
740,308,531,161,197,495,168,591,645,284,440,567,044,179,402,598,947,737,674,
970,405,164,739,993,020,411,630,439,384,707,101,453,688,737,500,551,711,607,
922,656,235,624,395,564,420,143,602,262,464,703,781,136,044,700,474,940,276,
651,877,230,466,594,079,675,543,428,877,902,997,925,493,967,497,138,871,083,
654,212,242,932,337,557,496,151,522,329,686,637,229,981,249,023,270,840,209,
390,847,862,705,930,320,570,636,506,944,678,976,268,073,454,012,963,007,914,
068,885,018,982,989,131,216,321,022,802,226,283,393,725,961,628,762,855,840,
534,063,353,670,197,913,753,764,643,216,487,711,560,089,953,220,622,582,617,
958,085,964,821,727,302,557,830,424,125,458,553,199,644,712,273,606,743,054,
195,595,564,153,458,339,778,377,262,421,348,898,475,306,056,433,484,799,694,
187,078,738,721,137,787,457,295,484,265,942,093,145,672,665,877,237,244,896,
502,321,871,777,035,371,279,561,755,888,317,824,262,350,922,752,585,386,044,
796,509,918,947,296,154,258,390,142,434,681,181,611,435,420,585,959,452,500,
417,772,388,582,419,042,973,815,861,900,462,341,332,717,226,415,753,157,033,
506,685,355,097,376,644,290,528,580,337,550,680,410,486,582,734,539,289,553,
602,506,017,394,081,388,547,672,306,394,193,750,500,302,123,359,197,183,502,
177,993,603,731,131,197,053,655,859,672,326,182,727,600,652,462,263,328,479,
721,293,125,697,353,606,247,547,557,752,889,354,110,879,148,865,036,679,961,
524,302,613,419,234,179,559,202,946,586,106,306,357,102,769,181,911,733,625,
675,569,189,931,546,003,911,851,681,959,449,354,852,167,636,114,677,927,494,
561,934,872,226,778,114,111,787,571,327,030,544,998,347,032,545,315,771,177,
506,750,442,040,777,073,016,511,591,575,168,001,324,952,197,779,570,779,650,
666,989,774,237,909,970,819,031,271,114,009,096,797,038,009,052,588,619,947,
279,522,865,634,888,887,227,486,546,418,589,445,922,293,433,697,137,071,718,
261,975,279,763,137,055,048,376,647,771,028,617,001,699,884,182,471,215,126,
574,750,407,287,187,244,716,192,069,812,928,597,134,991,037,734,759,870,524,
618,949,463,595,477,252,647,264,336,174,851,339,337,695,885,985,181,466,343,
226,283,664,042,389,411,501,958,681,125,823,369,643,733,047,769,067,640,673,
210,593,370,998,291,644,343,633,489,647,463,902,420,250,446,476,234,328,766,
783,473,070,040,721,034,123,766,275,307,022,818,149,759,219,194,282,490,223,
340,188,523,734,128,132,345,068,096,783,649,432,332,094,087,322,594,505,258,
562,978,714,881,777,914,116,079,446,559,508,170,877,013,746,721,601,133,824,
491,142,988,884,484,398,330,300,989,343,364,649,402,976,485,098,141,737,376,
684,463,326,918,030,133,789,903,309,171,956,060,120,318,422,682,099,833,530,
481,114,918,229,006,150,274,171,355,185,983,749,980,663,537,497,370,559,409,
799,709,734,516,824,298,122,493,500,442,041,028,538,704,311,907,176,356,919,
267,872,907,430,500,117,947,623,944,470,884,608,535,020,683,966,656,807,357,
419,774,678,968,159,869,861,292,902,085,064,576,277,885,428,777,857,433,022,
285,993,755,190,178,321,136,092,544,133,957,311,585,477,623,406,799,436,198,
856,561,868,599,823,457,303,230,329,907,665,255,690,478,884,721,721,576,508,
481,902,657,269,826,270,386,253,205,466,586,527,777,884,756,484,027,174,090,
282,024,848,296,361,230,512,956,626,918,167,712,406,109,619,697,812,833,368,
192,294,110,428,224,402,600,801,434,526,538,469,009,155,972,991,728,520,469,
055,887,611,873,777,291,897,755,668,828,312,181,038,159,879,687,086,753,448,
304,462,922,609,761,353,799,597,156,603,154,725,436,871,876,965,097,760,644,
160,063,938,853,257,675,256,592,043,271,796,143,686,032,771,774,059,721,227,
019,494,593,543,876,767,732,929,493,043,666,286,443,724,874,388,917,345,898,
134,343,255,932,080,760,130,702,860,140,255,579,447,506,656,155,369,213,430,
517,963,464,135,582,659,081,955,241,889,925,275,464,457,477,985,370,437,489,
313,957,593,586,611,402,471,880,288,701,533,131,668,121,905,110,029,550,828,
886,466,169,171,696,683,939,427,375,967,981,784,473,648,755,449,856,311,977,
063,654,475,331,190,991,954,102,552,503,659,063,617,375,065,861,293,942,857,
366,429,590,646,016,272,423,152,747,357,201,313,992,568,705,629,757,920,907,
231,783,939,323,762,243,848,201,368,017,639,347,702,809,264,785,556,213,009,
485,058,359,772,231,350,368,881,852,236,671,715,674,909,878,155,650,783,996,
326,022,605,922,946,606,149,157,031,908,146,704,470,923,086,454,627,081,556,
501,619,937,376,656,285,329,869,446,071,578,201,954,402,816,423,901,000,337,
458,946,174,850,109,939,076,240,598,007,216,188,969,554,593,448,428,234,802,
112,669,954,145,491,919,883,735,394,789,741,869,383,620,028,114,045,093,094,
475,660,771,503,474,323,958,583,736,068,890,391,458,454,732,263,214,671,702,
532,377,559,859,950,225,286,906,425,176,930,885,511,699,992,628,423,586,844,
538,816,511,183,523,266,448,023,640,344,222,924,271,725,501,882,419,507,635,
233,008,341,199,636,766,753,383,796,090,243,676,276,501,325,168,908,029,053,
433,045,796,700,192,984,620,559,330,494,748,751,089,375,450,061,281,848,615,
975,435,207,575,335,088,353,415,057,739,886,042,634,007,525,567,577,716,822,
760,367,608,556,897,745,731,743,366,041,073,072,547,132,974,911,387,390,767,
079,042,186,812,335,272,927,375,694,713,905,163,310,133,789,698,717,140,443,
447,205,590,550,387,122,217,427,493,725,976,022,976,954,210,916,202,588,651,
394,254,126,001,167,224,691,639,374,456,686,619,809,741,683,812,789,121,885,
001,203,264,639,697,929,885,989,348,489,745,275,005,815,151,831,155,394,971,
773,653,487,019,897,989,590,115,903,634,883,076,012,952,267,221,284,773,714,
496,756,981,981,704,791,716,212,378,759,208,629,649,447,351,421,243,748,699,
919,249,210,794,159,348,137,889,254,466,062,804,687,219,766,943,186,848,266,
498,697,841,434,351,323,199,730,199,765,580,588,982,665,531,583,033,317,957,
534,822,047,357,369,440,166,174,218,302,616,232,088,392,059,855,348,595,621,
174,060,074,278,088,554,063,680,392,567,308,729,356,158,280,024,066,540,992,
520,664,313,719,518,168,722,614,761,690,603,925,798,667,977,792,534,384,533,
368,673,504,393,318,437,603,180,466,602,666,647,419,015,077,714,505,443,306,
048,490,035,985,449,311,231,493,182,991,323,175,609,614,427,082,425,054,495,
926,985,795,832,379,585,364,013,055,737,075,278,504,817,303,547,481,407,878,
453,350,793,183,376,597,406,101,168,419,704,142,735,779,115,077,675,585,905,
876,097,770,201,085,948,305,674,643,775,129,500,530,272,372,416,980,551,418,
733,459,138,141,674,160,326,849,062,573,631,215,439,557,226,027,047,385,779,
282,486,229,296,892,895,017,759,268,078,624,289,192,096,505,625,151,177,700,
151,177,602,414,503,885,912,556,130,891,507,644,081,106,981,218,989,206,673,
335,256,879,870,787,298,960,636,523,400,759,640,432,674,940,222,044,517,890,
949,130,219,185,185,169,772,760,368,388,500,602,872,450,079,581,946,358,601,
752,579,090,176,389,355,577,967,810,030,419,354,283,883,410,336,056,331,575,
734,296,476,054,077,447,769,930,301,548,110,331,882,117,263,936,085,184,513,
314,697,290,619,313,537,048,832,962,025,536,408,969,669,850,887,976,931,657,
302,284,830,147,988,745,227,512,241,190,057,496,506,314,904,005,406,652,554,
286,693,356,750,513,203,076,801,165,090,387,043,076,210,437,474,029,135,777,
032,806,624,219,723,170,006,845,667,681,653,896,861,105,242,111,965,145,049,
776,903,917,518,265,470,971,236,885,403,080,992,005,289,089,828,469,962,628,
121,161,663,005,046,097,881,493,488,644,699,058,274,615,835,571,542,683,044,
850,315,102,792,066,555,440,752,595,323,810,999,320,095,213,961,614,983,593,
739,265,362,754,142,690,332,332,072,333,012,923,002,101,664,501,152,226,796,
398,052,236,708,854,065,697,589,211,451,027,264,760,720,163,449,080,580,840,
194,595,796,364,393,024,369,919,309,825,002,662,583,562,920,222,471,588,856,
619,233,719,039,253,193,921,718,543,015,521,080,413,999,494,140,336,253,320,
895,654,366,901,923,173,461,432,806,215,572,311,118,433,759,497,317,409,735,
141,494,503,686,762,616,130,057,225,094,668,277,442,742,104,690,586,045,393,
115,333,864,718,104,861,570,206,584,322,519,611,491,352,363,712,585,927,505,
522,187,800,291,398,758,253,902,223,951,796,487,612,836,561,404,768,181,762,
022,597,670,264,162,615,205,302,464,058,840,078,087,841,547,049,803,370,204,
887,707,824,605,533,977,928,844,800,189,092,264,423,411,989,301,792,416,359,
598,954,081,297,093,349,689,784,941,372,947,986,611,506,704,114,889,453,460,
686,816,996,903,738,847,370,723,034,163,155,302,433,274,055,409,182,547,883,
047,806,707,654,395,007,409,346,989,457,517,935,581,652,102,542,506,481,051,
271,108,581,231,192,073,941,228,066,029,247,889,289,762,695,868,488,373,834,
989,412,918,962,246,639,647,193,925,609,301,727,867,393,682,320,030,084,246,
360,700,718,487,338,214,261,019,425,504,853,473,919,325,025,192,984,245,133,
054,489,640,098,079,047,612,353,226,513,062,110,648,272,205,365,882,407,157,
020,119,771,148,325,782,225,257,473,936,780,771,839,263,669,704,995,759,438,
362,226,424,231,884,181,982,671,446,308,561,546,639,149,933,024,687,581,502,
879,383,162,246,196,289,608,211,559,125,221,831,722,700,412,360,869,968,094,
387,279,120,136,835,973,022,368,558,293,707,788,268,149,205,503,942,476,308,
974,941,052,749,672,224,824,124,302,318,704,068,356,365,384,164,036,357,305,
337,619,962,772,725,814,796,882,458,683,176,898,340,135,355,287,028,460,858,
173,229,972,295,604,570,908,746,708,005,278,565,840,100,874,752,593,820,808,
726,970,016,378,366,421,887,092,950,982,690,193,669,469,435,097,806,227,967,
826,662,324,902,879,551,072,957,806,965,892,054,868,925,424,124,752,122,017,
671,135,214,349,371,262,100,928,086,970,487,825,360,499,064,255,165,708,632,
762,931,356,844,236,462,006,074,468,399,836,773,781,261,374,553,104,563,831,
476,675,706,544,799,909,537,589,587,283,371,457,032,562,300,805,118,890,972,
789,307,385,617,427,041,629,215,195,421,981,609,334,703,752,394,273,291,621,
863,471,924,646,525,883,327,876,612,257,544,162,493,662,196,564,667,843,017,
863,327,875,725,541,544,136,578,779,263,502,713,310,510,569,756,930,390,822,
877,427,452,271,382,127,962,175,415,688,175,587,874,694,178,521,548,672,857,
550,924,146,181,980,155,454,467,561,666,591,627,533,155,377,730,065,372,019,
400,179,039,320,804,080,113,780,981,054,058,992,657,184,399,737,147,767,224,
669,368,116,722,780,480,401,342,917,640,619,331,543,752,462,925,304,399,218,
721,497,593,089,298,430,334,062,869,696,224,651,528,894,383,532,128,673,212,
078,420,332,216,877,499,779,233,136,977,804,345,828,571,538,527,539,464,221,
755,975,252,815,238,593,338,387,314,184,553,077,812,620,775,927,183,510,134,
408,287,271,576,864,880,600,718,924,936,282,583,394,798,781,512,194,274,571,
525,287,221,773,614,365,355,250,051,998,365,305,265,717,831,788,264,765,714,
277,874,848,305,191,824,151,784,652,246,987,722,492,339,170,659,587,936,309,
793,855,208,163,740,940,626,812,292,855,750,143,637,950,058,963,240,692,493,
551,651,362,657,947,937,482,873,418,751,425,532,487,487,322,532,074,802,775,
092,144,236,718,309,014,252,001,461,067,812,283,729,807,827,373,863,518,418,
424,622,778,787,236,968,252,021,524,575,723,827,838,784,047,365,166,870,030,
012,567,978,264,133,308,183,258,232,138,223,349,109,198,238,058,951,184,752,
915,719,909,998,036,519,583,859,426,957,910,047,336,702,771,012,304,436,988,
709,652,736,229,836,108,355,628,177,416,580,501,763,293,114,601,106,459,658,
951,753,801,721,158,383,845,170,812,912,471,248,601,392,893,880,333,775,779,
142,000,192,680,209,697,997,765,406,883,034,557,387,022,234,713,732,910,306,
937,964,241,225,464,940,100,237,822,209,503,355,590,000,783,207,252,017,898,
303,582,073,872,835,832,010,480,484,652,885,467,921,187,926,302,539,504,974,
636,510,893,898,324,180,685,829,325,277,674,062,669,822,881,618,210,979,078,
317,792,086,565,739,449,218,732,319,746,449,832,957,780,979,112,206,004,462,
487,504,526,930,118,503,296,559,475,811,473,703,897,030,682,841,898,940,145,
253,667,016,861,644,632,232,496,980,347,254,359,813,990,653,033,031,943,997,
403,926,406,147,777,287,906,345,334,556,602,740,646,868,303,850,676,965,889,
875,761,235,505,905,499,845,634,680,443,952,903,821,552,635,076,788,797,173,
304,340,822,712,841,187,149,039,272,509,116,806,049,656,773,984,628,299,960,
004,323,448,800,484,416,099,391,911,967,144,340,733,055,059,826,971,464,416,
094,836,223,068,924,266,413,835,796,855,859,657,938,541,003,458,263,473,425,
337,988,934,339,558,612,497,679,097,263,257,987,428,995,804,578,693,881,129,
688,253,408,905,373,650,474,014,109,306,116,015,955,610,977,890,109,547,209,
513,003,434,997,471,036,209,837,033,435,380,418,703,571,698,617,101,484,365,
679,946,159,259,710,521,835,872,525,274,181,405,200,661,683,928,211,321,580,
917,350,602,698,306,403,369,396,411,535,146,694,418,310,543,360,163,484,537,
334,837,364,072,108,667,461,350,322,889,354,625,600,776,177,827,148,390,720,
357,909,553,232,464,931,669,567,608,151,721,076,202,482,664,656,708,876,160,
898,290,612,275,614,747,902,888,958,567,747,803,601,767,810,396,676,923,567,
236,907,022,952,635,154,789,648,102,101,884,842,642,525,625,471,155,671,438,
359,723,563,491,427,169,052,681,523,950,409,287,737,410,410,665,464,364,945,
050,920,481,601,197,739,782,865,803,253,958,906,209,144,921,977,608,828,157,
350,379,658,477,982,057,227,057,348,234,092,118,958,125,023,393,197,837,186,
940,849,516,330,738,432,630,164,655,680,067,711,704,444,296,647,386,811,767,
825,910,623,879,679,960,782,125,221,250,436,834,792,420,439,472,429,416,765,
863,638,829,019,337,141,396,597,358,739,284,290,415,094,330,744,922,816,678,
170,492,851,786,806,867,415,093,164,733,423,597,448,396,548,678,021,042,920,
135,072,559,775,980,427,833,597,177,830,494,566,662,056,042,628,719,780,258,
099,074,608,892,400,336,195,475,615,281,968,664,388,030,436,129,632,487,240,
140,823,343,376,887,228,460,399,949,118,560,110,506,247,390,128,588,291,311,
217,184,189,605,040,069,404,321,160,341,162,936,308,144,597,890,974,905,450,
501,149,096,373,861,731,981,600,989,357,311,721,173,068,499,656,379,253,587,
684,033,808,810,437,035,884,676,884,359,064,615,006,885,784,385,295,301,353,
490,250,318,013,630,900,783,381,285,710,889,701,113,460,207,935,959,751,698,
424,551,054,910,819,914,233,143,862,632,986,409,573,740,150,663,235,269,097,
310,548,396,768,932,572,199,106,668,052,780,921,419,630,744,238,592,510,079,
525,803,050,687,953,517,964,065,774,114,655,939,104,730,441,301,644,223,767,
712,264,197,797,978,763,858,685,733,597,851,878,504,721,476,773,992,206,147,
401,925,989,930,058,902,269,218,244,695,342,029,839,261,396,758,340,483,345,
325,921,621,595,806,333,496,522,177,181,198,015,594,546,144,808,415,019,814,
777,542,803,058,296,097,731,124,242,140,495,042,895,970,396,758,072,316,074,
005,529,670,762,786,195,796,455,875,712,327,251,937,519,308,394,995,152,179,
690,222,538,673,415,750,534,632,458,811,094,525,436,894,011,358,163,946,496,
776,264,338,308,222,457,506,799,417,226,371,225,090,362,099,787,024,164,454,
997,562,367,640,525,404,822,120,991,920,678,847,168,086,909,352,527,664,872,
927,182,802,555,313,450,766,664,447,500,942,268,253,827,245,104,533,655,093,
839,842,465,777,617,091,960,225,206,128,780,825,293,234,982,926,075,212,720,
387,838,085,607,801,554,832,560,383,052,033,803,429,956,922,581,911,951,022,
247,361,531,594,010,832,297,262,536,396,177,177,611,445,815,545,640,158,979,
462,986,138,225,437,106,792,697,303,539,996,708,426,684,918,152,776,745,072,
449,748,694,374,499,490,710,698,546,939,369,673,343,404,130,544,698,640,792,
981,524,053,647,773,752,581,279,774,751,040,469,690,314,722,878,780,389,808,
531,842,268,105,984,157,358,180,534,475,616,524,496,026,124,460,590,069,080,
286,657,215,904,803,880,619,033,421,852,090,141,546,999,404,930,687,863,634,
947,845,690,535,676,790,294,268,547,801,848,404,439,594,512,117,181,698,331,
656,780,882,959,095,855,652,544,361,190,602,762,906,163,416,818,934,376,544,
567,908,967,583,355,308,171,080,160,007,282,432,508,905,628,960,018,664,815,
431,460,681,131,775,995,669,607,159,805,102,507,404,226,747,243,695,697,836,
663,027,945,239,214,850,882,746,932,771,207,756,325,030,787,927,706,113,630,
936,632,850,152,533,554,345,956,829,624,944,552,899,248,555,836,526,277,669,
730,456,583,372,145,721,349,153,493,576,622,608,339,218,095,632,336,295,296,
913,814,332,680,651,163,051,597,980,095,013,655,043,055,287,165,705,840,944,
444,670,745,313,283,881,373,672,571,440,424,635,225,999,518,425,835,786,996,
810,478,768,120,147,354,026,335,118,784,019,556,694,195,689,927,240,663,413,
386,828,234,485,373,538,041,952,959,515,800,823,360,205,243,765,532,731,362,
178,445,682,518,865,209,148,176,400,620,055,253,543,846,484,615,578,714,868,
863,878,461,294,152,564,446,058,393,300,168,814,526,921,579,534,466,898,434,
968,778,939,648,141,732,940,622,939,530,077,957,107,681,868,543,952,907,130,
899,299,283,648,016,430,576,964,994,403,885,394,257,760,908,099,221,225,744,
334,556,623,763,997,806,957,129,339,295,738,014,150,025,517,350,396,111,716,
733,769,902,004,498,173,952,456,016,497,469,774,253,022,246,931,528,642,529,
098,126,622,126,766,074,119,115,686,511,297,259,882,916,278,956,887,291,817,
953,605,699,454,293,495,000,046,935,931,663,092,097,735,137,281,318,507,213,
551,093,729,056,990,381,371,921,991,573,346,595,198,556,812,685,400,637,248,
297,279,381,169,076,360,588,732,929,138,134,569,501,183,580,577,117,844,631,
807,542,107,980,724,990,766,104,277,874,154,244,928,238,447,852,736,827,951,
893,025,065,549,374,412,507,594,852,488,662,613,898,005,272,924,076,626,509,
801,345,244,087,558,171,720,487,365,947,590,476,956,052,032,239,681,813,492,
687,189,505,561,377,592,511,001,413,439,530,983,415,913,592,616,123,446,554,
629,407,911,727,807,080,702,775,990,876,789,421,496,335,501,684,289,761,643,
061,577,403,399,103,646,895,167,587,980,812,939,214,732,192,289,870,163,901,
249,296,342,105,953,225,367,969,891,732,379,576,473,930,600,691,439,625,047,
102,086,269,337,534,303,432,155,980,808,872,740,580,641,230,773,648,935,047,
528,535,623,987,383,692,441,257,381,650,778,623,495,120,808,631,181,547,524,
925,654,645,829,950,562,016,763,559,609,382,384,310,020,169,526,060,253,646,
221,475,423,491,618,552,493,635,791,007,412,303,578,908,352,917,328,218,640,
628,297,559,366,687,262,764,269,963,824,446,099,943,039,592,577,722,275,527,
464,972,536,699,189,610,674,475,888,099,109,967,625,376,747,817,120,392,320,
499,252,330,850,140,828,961,647,900,662,730,159,894,893,800,451,283,592,709,
076,555,921,186,150,988,249,124,207,528,657,119,048,546,497,957,395,648,043,
004,687,787,050,459,782,939,460,307,209,130,015,858,235,601,434,014,831,067,
990,899,401,622,001,845,333,896,330,328,889,169,216,544,810,422,288,430,450,
706,631,491,852,881,244,017,095,439,825,322,443,950,590,181,003,873,643,574,
584,301,662,984,242,497,886,309,697,659,242,004,280,215,100,053,248,570,675,
252,354,838,282,925,903,284,857,669,464,722,650,769,016,405,403,695,060,537,
683,514,857,130,474,750,081,061,449,775,963,712,412,467,576,661,426,829,673,
701,528,281,638,126,106,177,787,427,091,206,462,925,959,930,197,461,482,487,
042,946,265,138,117,115,815,034,305,451,093,427,511,149,310,964,246,231,239,
565,254,183,913,705,933,615,195,663,761,627,991,547,040,369,167,432,665,539,
367,913,611,093,652,678,576,162,302,546,246,627,465,160,163,732,883,968,767,
145,878,970,660,371,938,104,557,870,302,912,298,088,178,863,327,188,233,288,
954,420,848,508,239,799,919,920,798,216,675,644,891,019,375,339,395,516,084,
626,872,715,661,595,365,867,304,617,050,295,180,257,643,061,185,775,183,399,
432,516,506,128,516,216,261,430,225,434,830,534,953,879,095,847,853,006,434,
914,127,966,778,123,801,641,672,346,448,619,043,346,483,775,793,773,670,194,
663,431,737,888,918,896,592,117,382,497,134,487,860,055,822,793,460,712,215,
926,940,642,470,281,361,178,182,502,713,728,891,515,114,101,564,397,958,164,
476,815,394,453,674,871,693,110,178,895,860,650,739,558,327,840,478,955,750,
740,626,227,517,722,894,082,540,315,285,716,948,853,322,265,870,841,137,685,
558,349,029,763,841,174,425,805,022,743,127,018,846,710,240,233,487,888,912,
657,385,224,123,048,021,666,405,845,079,597,382,975,315,148,609,317,170,486,
525,233,081,034,549,457,829,254,740,558,199,767,531,382,512,160,921,068,174,
265,628,004,663,873,994,254,642,208,827,988,094,978,843,360,926,398,258,219,
582,356,292,011,077,536,744,063,562,472,254,712,916,465,616,022,644,032,747,
780,553,176,817,769,753,497,128,507,550,311,133,255,537,144,927,304,963,755,
988,357,195,066,413,280,663,830,012,753,768,014,934,194,161,163,854,625,711,
787,824,221,412,167,961,622,228,751,594,941,641,291,434,707,754,556,748,434,
585,735,168,122,933,975,518,608,583,528,679,951,966,852,577,089,186,434,133,
786,511,963,983,190,004,935,156,320,838,127,243,175,012,736,136,729,444,679,
004,088,706,640,315,213,225,046,716,667,525,150,665,357,555,714,573,553,696,
536,410,638,286,826,025,084,032,833,661,310,195,187,865,902,974,657,469,128,
185,747,015,005,926,758,779,413,240,967,675,788,216,098,660,516,441,630,162,
386,388,974,372,337,052,247,807,474,036,500,999,841,870,149,666,651,511,360,
119,647,227,431,588,943,871,236,862,990,298,905,126,716,095,185,131,999,552,
400,685,355,251,431,140,084,641,244,556,257,147,560,986,186,317,527,222,120,
729,486,432,604,789,896,474,344,388,251,528,999,300,205,959,721,217,455,327,
104,893,339,126,705,809,136,457,173,565,711,686,101,303,786,147,653,768,508,
138,315,892,814,162,633,436,422,911,520,616,799,125,195,299,085,299,698,726,
167,014,837,362,671,387,570,872,564,183,574,860,921,282,202,606,320,434,450,
083,296,155,177,822,709,569,209,452,486,574,444,897,831,347,248,982,760,218,
761,573,075,787,535,911,429,274,435,606,942,751,691,456,487,184,101,645,249,
494,618,965,671,320,212,006,079,559,040,123,838,186,294,119,250,224,741,989,
678,761,938,637,129,957,888,868,543,475,038,864,769,569,328,069,423,679,722,
016,498,176,329,410,246,687,160,085,654,949,166,780,269,658,708,364,384,806,
968,942,220,099,563,428,503,651,724,753,090,377,071,988,396,260,376,551,992,
462,077,454,573,529,492,270,247,561,560,405,416,751,373,963,852,910,148,707,
268,814,925,718,346,200,203,836,762,585,388,101,116,621,008,166,091,124,944,
598,617,779,663,856,542,255,360,003,939,360,141,791,994,521,619,941,224,563,
963,338,121,834,194,836,812,587,193,034,192,000,193,133,304,232,934,895,438,
375,871,192,967,989,793,583,998,754,825,826,671,829,021,498,052,095,951,935,
062,413,763,433,414,671,740,565,445,227,899,873,840,688,227,931,371,872,829,
888,112,357,520,233,844,077,109,976,413,599,020,526,733,783,456,447,007,718,
972,193,963,279,763,870,512,937,841,001,200,104,103,352,541,287,435,226,515,
123,458,381,810,590,831,100,747,423,032,974,677,289,790,488,695,598,347,580,
758,284,248,477,358,024,109,935,946,586,725,757,255,943,857,964,773,794,770,
437,034,172,629,703,568,203,522,749,907,894,195,312,470,060,445,531,333,795,
645,508,174,019,425,955,765,345,754,382,311,153,917,087,729,978,303,725,312,
768,162,998,993,541,192,340,934,648,435,297,402,834,924,776,095,355,010,599,
225,290,214,082,713,587,990,222,538,914,703,396,152,193,990,475,115,612,332,
761,062,046,033,926,523,773,990,760,372,247,337,390,857,228,578,068,366,447,
587,944,658,323,293,807,583,046,315,152,035,897,156,138,107,154,720,917,856,
815,292,097,650,390,398,782,232,291,397,757,438,778,367,583,488,692,878,667,
087,233,020,637,282,334,389,307,274,495,233,811,929,377,580,960,514,170,581,
963,344,496,012,564,205,021,123,444,321,190,806,594,451,009,227,148,414,523,
201,297,031,568,297,971,013,043,322,648,471,484,823,709,170,526,269,509,141,
421,849,484,045,666,651,722,815,804,505,672,180,163,653,763,178,903,330,134,
749,777,066,983,485,008,586,425,046,497,028,796,702,827,744,425,724,351,719,
682,319,606,976,264,105,119,710,933,546,123,912,730,496,917,392,301,515,560,
807,817,219,029,829,490,159,846,322,107,424,087,728,948,585,258,142,727,876,
101,599,953,682,942,196,848,886,269,442,370,036,382,182,398,449,541,657,002,
414,428,036,611,925,101,795,339,617,032,971,121,828,853,500,558,297,854,219,
461,242,255,821,739,392,728,986,854,566,391,682,944,056,569,168,937,809,415,
555,019,915,782,187,966,784,727,239,108,769,593,963,464,132,689,026,443,472,
164,805,344,465,267,410,334,526,016,889,085,062,691,359,267,453,270,851,914,
482,132,852,592,062,814,371,420,331,456,569,028,329,744,419,429,607,729,946,
635,004,926,201,414,168,242,939,328,075,848,298,157,335,938,772,759,641,680,
848,354,552,011,133,828,024,497,012,099,714,806,555,947,418,250,799,825,818,
764,694,036,507,146,693,828,032,195,700,935,567,519,618,300,517,394,884,106,
828,083,546,130,453,016,662,139,236,265,985,388,304,789,590,793,857,942,855,
739,141,983,576,464,196,437,689,082,781,317,233,907,201,635,097,552,304,308,
103,519,933,573,951,896,424,760,370,425,388,532,280,889,990,673,365,946,827,
390,732,701,595,973,634,542,069,372,895,311,035,319,972,589,202,055,440,811,
372,278,134,127,447,891,045,616,970,434,021,679,031,175,526,101,953,735,127,
126,297,620,053,976,415,527,092,606,639,052,526,646,021,157,190,863,825,857,
473,652,276,306,120,207,309,485,698,289,423,636,164,117,143,588,299,911,780,
919,384,597,050,384,436,810,567,935,954,358,943,836,374,345,594,472,484,399,
850,353,202,200,499,277,199,896,166,316,253,554,896,499,942,874,975,708,163,
550,315,476,312,907,138,701,797,431,472,964,442,894,535,917,449,363,581,398,
084,480,217,009,436,422,807,551,964,488,162,539,936,817,240,843,714,416,083,
881,663,563,889,418,287,261,110,421,282,558,896,414,791,481,058,742,362,643,
637,197,105,463,315,504,675,480,779,426,247,598,258,210,047,202,232,078,105,
295,645,500,099,799,254,926,036,189,991,072,116,085,673,917,510,105,601,918,
548,658,534,356,921,772,842,682,022,499,146,532,527,345,989,904,333,997,359,
158,456,928,770,108,133,202,211,374,500,371,572,430,239,534,000,307,801,006,
732,627,008,754,978,488,407,679,020,045,316,654,372,908,278,103,120,902,694,
155,122,532,021,726,493,640,475,670,966,749,634,757,776,838,183,654,238,610,
089,119,074,594,658,915,167,036,082,362,033,516,795,611,766,553,873,831,211,
405,605,588,068,928,693,781,521,719,337,608,355,547,867,931,270,618,696,578,
849,273,918,915,862,524,732,328,939,675,217,292,821,862,964,542,232,342,484,
224,938,302,214,374,876,075,013,328,335,616,882,914,692,493,852,614,865,395,
128,106,845,739,618,572,367,657,826,037,737,192,054,825,096,845,747,603,314,
592,295,696,028,040,918,863,341,513,993,880,695,122,762,406,902,345,144,207,
377,310,629,799,823,616,885,625,399,032,637,977,863,128,651,388,939,482,018,
176,583,430,086,863,021,135,094,211,012,921,156,560,655,486,707,384,722,142,
045,694,946,277,397,507,272,010,577,430,632,401,328,796,075,910,419,485,316,
934,357,329,942,747,224,481,785,956,478,204,502,070,046,342,132,996,353,615,
522,266,222,775,808,435,820,812,447,707,819,164,809,521,196,501,842,757,635,
494,253,141,535,793,959,895,866,598,669,804,229,058,543,476,664,931,882,987,
007,346,919,306,815,006,993,926,865,965,588,564,118,196,738,873,751,494,032,
596,946,880,345,224,950,133,476,302,994,203,519,769,763,807,911,573,809,555,
962,557,428,321,408,320,398,178,719,683,142,196,958,366,063,418,605,635,270,
020,116,296,111,413,573,893,702,248,080,173,193,764,546,085,463,517,560,957,
728,232,405,944,347,678,702,991,455,022,765,295,449,095,450,374,812,169,005,
653,724,752,027,341,538,551,592,376,809,912,363,720,972,330,728,974,367,634,
580,997,437,248,069,562,207,596,021,837,266,039,503,662,292,906,763,865,980,
831,003,785,333,517,309,735,191,687,926,498,588,162,630,562,819,650,926,454,
893,419,592,718,076,410,657,670,821,693,985,246,529,791,826,439,739,816,320,
886,024,970,624,550,712,872,985,278,076,925,836,140,618,939,769,296,110,771,
135,130,740,781,688,181,697,177,240,678,158,255,908,361,283,637,708,203,166,
150,194,928,433,802,967,949,744,861,689,889,483,261,322,886,367,631,022,965,
633,279,920,443,139,861,283,814,607,816,587,183,380,988,300,874,627,156,009,
768,234,418,458,098,837,453,109,219,916,986,456,304,094,443,783,761,085,526,
223,890,015,609,314,189,685,737,064,982,798,153,034,723,281,494,597,891,437,
385,792,488,603,201,412,145,220,435,190,885,322,293,704,381,640,875,335,571,
080,474,286,460,928,998,555,623,082,112,650,322,796,720,829,853,285,195,002,
550,875,921,842,344,362,371,383,838,452,685,379,280,411,231,999,447,251,623,
348,256,500,108,784,875,258,725,143,184,234,481,245,295,561,959,616,329,740,
528,445,582,530,721,939,016,304,307,051,781,889,592,588,639,936,253,009,276,
716,189,938,230,516,362,496,857,467,444,592,845,508,309,039,986,743,375,659,
342,750,106,788,914,740,275,187,311,285,397,425,948,908,962,525,616,819,080,
387,111,356,458,657,512,960,399,512,323,542,043,107,217,233,859,000,699,217,
738,960,257,651,911,863,995,732,203,110,909,496,517,389,118,538,016,729,186,
270,209,306,388,848,075,506,938,718,120,039,015,404,680,261,780,389,877,376,
794,962,697,404,929,066,060,154,915,001,029,856,677,210,723,871,231,841,958,
588,348,647,993,265,470,878,044,841,429,938,460,849,585,708,674,228,820,091,
042,593,007,471,720,412,619,735,972,902,679,592,626,907,550,381,777,240,664,
726,170,864,199,599,231,751,548,402,637,159,859,105,523,347,634,133,318,106,
015,018,037,620,628,539,668,547,895,833,193,338,175,378,564,824,631,797,129,
364,172,138,572,837,531,219,308,673,735,484,469,199,107,543,422,620,621,540,
705,992,946,293,028,499,416,865,445,476,215,813,881,277,545,903,611,293,927,
693,704,603,057,136,666,097,676,082,462,563,575,715,350,981,498,860,644,890,
013,881,369,711,537,574,611,007,349,318,195,221,332,395,313,250,170,334,085,
052,539,526,287,180,489,928,311,729,444,306,757,429,463,217,130,196,162,462,
523,416,458,372,202,884,511,205,471,665,963,196,799,138,506,350,398,786,110,
473,810,560,457,212,278,735,450,070,065,607,945,364,691,179,981,283,950,807,
536,562,406,540,203,625,615,072,444,809,061,056,369,068,112,526,650,110,771,
832,923,742,446,964,141,549,155,300,419,110,631,662,376,441,023,072,320,872,
456,913,713,644,095,583,969,768,137,881,491,194,672,023,479,651,481,147,467,
251,080,438,676,428,025,138,000,336,257,801,000,105,996,963,511,418,847,314,
167,527,047,779,272,918,435,223,787,522,238,413,095,307,331,092,334,649,857,
307,859,073,513,403,489,719,163,718,984,679,002,897,704,690,371,750,179,994,
812,018,798,469,996,194,449,229,241,183,972,445,793,053,983,635,156,707,444,
136,579,291,070,638,217,851,487,067,064,580,890,547,392,993,734,459,349,150,
873,492,098,112,374,135,563,067,196,331,656,517,506,185,832,212,183,033,492,
943,635,730,417,925,810,530,441,799,216,414,085,046,175,656,145,744,763,031,
214,866,131,001,559,409,460,565,156,721,483,181,287,152,318,511,583,726,750,
435,828,326,466,878,791,675,495,693,031,303,213,671,331,405,138,659,181,171,
113,423,369,628,784,891,207,022,486,608,003,228,589,246,067,617,101,562,715,
211,802,291,899,144,162,969,451,052,163,725,433,659,415,641,963,317,605,104,
949,523,831,795,206,643,121,899,772,390,470,595,079,923,745,776,027,931,321,
584,713,066,543,332,531,749,365,328,446,332,426,835,926,873,658,692,767,574,
635,105,921,853,586,132,470,864,297,942,275,556,931,043,447,308,440,878,576,
113,314,437,378,245,873,392,013,559,609,861,621,187,043,593,952,016,305,577,
671,876,431,617,061,159,659,804,757,404,704,755,324,652,736,178,880,994,280,
022,231,976,769,775,694,372,470,083,900,918,413,875,785,927,696,846,670,093,
668,425,483,399,613,503,377,200,832,829,448,913,009,405,594,529,451,732,175,
868,276,307,342,762,897,457,797,444,815,869,979,859,487,185,229,050,852,880,
556,057,038,110,372,723,411,638,866,910,496,993,300,222,101,110,985,409,529,
268,375,499,464,437,480,808,782,089,270,908,073,198,474,000,125,630,494,677,
222,908,808,329,064,537,619,177,141,403,902,823,757,484,189,390,817,606,073,
825,297,081,082,204,237,841,970,695,252,883,479,938,654,021,988,966,186,162,
406,352,106,805,779,458,794,526,009,777,913,097,363,247,279,597,778,299,303,
802,529,701,417,783,048,710,094,903,714,234,109,879,369,958,488,517,098,005,
183,111,576,630,895,360,564,808,188,168,512,540,930,095,057,885,876,645,476,
475,017,354,398,637,077,523,593,537,846,560,771,874,643,243,886,263,134,040,
672,949,550,240,858,239,518,916,503,702,708,613,016,394,119,381,292,606,272,
318,615,206,402,658,018,426,809,490,874,431,464,288,814,014,564,362,985,230,
317,885,398,743,542,078,295,902,715,015,961,108,641,872,381,785,306,089,984,
966,470,423,760,875,129,094,185,833,729,733,256,865,585,657,625,065,735,872,
706,873,831,785,308,062,612,807,397,803,483,457,298,283,022,186,648,165,878,
760,070,939,053,057,711,319,033,216,043,078,157,507,072,499,105,594,154,982,
894,222,587,942,506,967,578,431,037,207,961,845,550,402,511,069,105,821,277,
489,528,072,918,288,385,605,234,592,244,019,165,530,073,691,326,145,596,032,
714,347,845,912,036,507,518,959,027,066,219,475,627,305,379,051,212,785,256,
835,468,178,644,557,721,696,756,286,563,811,106,310,901,190,393,835,570,074,
018,515,639,847,522,597,839,764,430,529,450,103,345,588,277,658,528,367,055,
022,757,681,723,600,267,164,799,639,227,126,384,283,660,181,355,131,455,141,
557,743,110,300,938,492,920,071,443,762,611,749,732,144,370,348,337,746,102,
638,092,218,288,316,519,170,434,667,749,289,145,453,473,702,331,124,661,876,
031,577,175,386,134,882,666,842,486,230,460,870,596,334,980,869,705,378,084,
365,192,589,697,901,766,901,557,021,023,509,719,067,760,554,345,075,243,957,
567,598,818,063,053,305,279,250,260,589,680,509,208,791,298,182,307,146,849,
809,975,756,302,673,326,891,131,458,975,093,318,615,723,664,327,136,704,513,
577,159,361,086,110,834,077,008,777,495,116,316,428,612,986,620,817,849,707,
079,583,973,356,059,664,042,765,140,223,123,488,633,722,844,345,865,614,425,
384,997,034,808,675,783,718,475,342,509,932,324,657,240,545,959,467,937,915,
838,640,393,204,493,164,737,484,438,728,157,070,915,412,015,010,137,200,089,
735,916,641,436,122,353,945,433,145,318,086,233,871,854,488,247,277,545,453,
814,245,857,239,215,312,749,421,476,753,640,692,618,880,950,575,314,100,729,
907,931,237,148,984,964,076,412,815,366,578,168,453,109,326,729,882,125,286,
877,973,742,447,963,414,555,428,760,472,898,473,621,897,675,158,130,086,090,
230,286,610,563,479,743,950,836,025,084,054,464,214,979,274,025,433,157,923,
554,507,907,339,777,039,332,781,194,794,113,762,064,493,299,584,190,281,444,
166,435,800,133,670,983,029,592,405,317,498,286,077,672,474,251,111,984,324,
226,732,809,486,584,513,943,550,990,073,321,611,175,117,921,354,111,206,454,
126,568,346,417,156,131,961,540,371,250,090,067,993,442,307,926,021,852,573,
892,467,464,704,563,513,524,809,526,354,009,536,282,068,654,185,744,224,114,
108,764,248,624,384,472,126,892,158,069,048,172,743,581,523,311,827,065,562,
797,876,176,517,919,075,128,954,196,281,318,093,181,464,610,967,799,763,219,
430,974,579,564,693,226,452,134,747,436,765,155,674,260,191,703,344,389,545,
525,648,128,198,302,553,805,363,410,470,542,767,737,008,211,515,202,191,248,
050,508,424,261,622,792,365,284,906,656,693,476,229,338,156,532,893,195,754,
064,895,970,284,533,649,329,106,792,996,207,418,936,379,167,622,699,134,144,
739,362,045,026,985,940,117,967,149,889,904,386,126,409,326,382,625,033,402,
890,965,816,205,562,773,766,898,782,309,984,249,373,161,900,833,604,833,963,
722,814,181,070,981,722,819,192,974,940,956,950,237,406,862,724,222,182,218,
494,740,364,719,463,463,376,321,502,486,422,197,628,384,803,199,121,507,221,
176,612,293,536,633,872,153,827,516,997,832,686,977,163,635,069,329,455,952,
791,557,514,350,379,108,201,422,688,053,285,094,109,082,727,935,093,451,356,
613,230,871,657,418,642,320,012,936,218,249,358,890,932,642,823,430,069,148,
310,556,292,117,187,600,637,204,088,112,867,977,496,153,275,609,803,491,833,
008,099,011,633,103,419,179,961,684,828,976,085,702,129,431,030,757,405,743,
498,546,929,041,420,211,756,125,422,705,016,908,352,684,381,861,051,791,023,
059,086,014,657,930,548,691,408,812,795,467,126,554,738,029,676,519,165,685,
808,819,469,527,747,434,706,567,368,355,585,118,537,103,975,513,825,520,466,
548,127,067,610,678,417,530,709,092,789,256,146,655,963,181,959,521,661,460,
642,901,127,257,275,569,831,794,152,965,738,013,434,882,804,248,949,050,628,
040,409,824,974,406,210,645,735,083,607,845,289,663,695,914,219,735,360,490,
978,475,497,652,605,517,131,981,093,662,154,351,919,697,889,775,159,413,685,
511,182,762,596,437,708,854,507,327,231,486,343,559,218,325,240,756,017,038,
229,887,191,167,458,806,004,182,707,351,195,714,670,904,687,991,897,057,792,
763,772,267,521,691,650,969,106,044,269,779,999,202,256,798,535,920,889,628,
494,168,032,987,925,545,769,755,813,565,208,064,416,211,054,827,233,487,004,
255,301,180,259,963,338,376,616,888,719,575,152,077,913,877,943,494,778,263,
917,940,548,054,492,959,985,360,948,759,408,998,222,641,218,446,003,868,612,
395,197,974,423,249,781,151,363,118,391,351,031,932,546,699,810,776,558,660,
789,904,395,136,670,656,368,235,747,021,730,078,265,234,376,113,366,107,638,
730,500,925,071,220,147,478,339,757,657,869,266,538,861,627,591,775,434,829,
341,500,693,890,430,848,749,874,369,298,722,801,981,272,014,567,583,384,442,
901,569,760,267,437,728,264,432,240,886,686,040,848,523,489,883,559,961,027,
035,274,260,766,730,007,325,247,417,898,913,855,394,003,212,960,568,610,399,
843,373,303,661,557,020,948,327,361,712,036,696,556,061,216,458,476,011,178,
548,996,759,800,421,949,111,608,955,755,465,470,236,479,013,966,170,693,957,
496,489,062,521,305,708,880,855,248,294,326,698,244,039,528,553,447,600,366,
107,830,493,406,549,631,027,703,072,221,056,859,412,592,873,002,639,087,464,
666,371,428,592,132,949,978,481,118,486,298,871,305,927,913,367,131,022,578,
057,747,663,391,333,004,378,979,040,589,990,245,637,444,666,083,824,841,702,
866,846,719,051,031,226,622,411,288,696,906,650,123,434,810,739,660,537,930,
323,527,058,078,991,144,308,669,116,951,384,762,719,612,504,032,291,116,023,
523,603,721,393,619,287,691,934,825,869,291,580,290,424,343,875,675,233,659,
473,243,735,422,936,569,125,468,591,609,505,648,001,690,151,121,672,710,443,
885,193,875,779,478,461,258,022,532,993,728,883,138,163,980,110,700,360,348,
999,876,527,582,375,800,743,325,574,467,821,111,457,896,504,112,625,572,553,
983,112,942,443,107,764,030,508,553,299,083,243,528,339,758,346,910,662,210,
359,442,369,069,029,182,015,186,935,346,734,734,115,915,836,547,477,564,947,
719,630,831,822,029,504,844,312,353,172,397,515,500,384,319,823,259,137,820,
767,267,882,492,347,603,053,517,794,674,352,317,055,932,495,505,868,409,936,
812,330,175,756,241,178,827,010,426,289,100,463,444,672,614,296,379,336,909,
784,192,668,627,873,013,267,834,175,234,505,131,389,064,096,141,091,144,855,
528,813,062,604,482,926,945,022,970,146,049,738,339,152,563,563,914,632,570,
832,625,199,834,210,765,948,984,463,173,139,119,979,120,160,045,634,121,418,
721,711,683,113,716,097,772,116,501,832,531,792,820,553,989,472,201,348,066,
138,417,176,575,302,699,430,764,009,699,110,264,035,708,649,232,493,708,017,
878,943,291,706,544,150,111,815,758,581,660,910,543,666,115,599,242,927,495,
644,277,840,066,226,375,140,920,003,040,355,494,324,680,282,214,533,404,258,
488,487,853,444,257,770,721,231,464,980,144,704,778,673,417,368,117,929,873,
757,977,493,966,551,983,714,255,333,422,633,967,768,202,635,274,700,816,171,
666,425,998,607,790,514,243,425,658,577,446,005,652,685,136,723,597,767,448,
372,665,765,679,663,316,250,056,608,095,336,177,148,495,248,315,201,779,415,
417,829,968,790,890,285,805,636,087,544,143,650,300,337,954,772,814,685,994,
364,661,218,585,962,707,947,672,263,581,476,769,101,646,185,355,279,132,259,
789,496,095,953,011,192,049,921,396,571,801,776,829,450,217,915,095,861,609,
774,393,806,479,825,964,148,242,051,390,463,483,428,537,497,654,002,436,952,
385,893,221,865,488,055,776,541,904,766,870,317,041,075,527,090,616,852,287,
356,987,280,392,790,312,931,050,025,408,714,601,108,864,596,598,212,170,266,
365,318,970,255,618,413,550,939,150,963,090,509,636,967,850,019,657,161,054,
174,942,738,302,440,342,144,745,788,702,537,117,921,773,354,826,216,987,055,
315,562,768,336,615,010,823,844,132,625,396,167,104,222,525,366,567,712,917,
165,243,984,744,092,533,743,245,686,013,288,592,904,457,915,566,391,280,023,
966,771,805,496,990,023,859,888,740,459,877,079,156,767,715,408,623,876,049,
059,175,719,493,219,651,488,857,700,753,420,450,350,512,104,796,235,039,416,
480,735,045,907,754,485,502,208,283,966,371,912,540,551,039,220,368,070,764,
710,146,339,856,464,589,782,204,203,708,522,058,408,359,260,621,052,236,013,
887,364,829,853,307,378,936,591,704,995,588,403,553,191,570,450,889,686,091,
660,732,081,160,196,917,460,346,839,136,078,787,732,095,693,026,456,937,140,
638,815,193,330,477,808,277,547,240,389,816,752,423,530,469,210,210,008,534,
277,001,498,982,708,540,198,763,029,963,031,528,961,577,101,259,261,889,030,
301,021,857,898,882,248,707,637,195,790,940,179,238,046,740,963,903,097,694,
075,795,911,127,658,628,676,707,928,388,632,153,998,192,985,791,435,038,116,
524,620,631,832,801,501,254,842,144,650,510,814,624,871,397,275,849,891,419,
256,414,172,187,486,079,372,933,263,796,254,184,691,688,743,620,701,296,646,
265,587,875,451,946,310,360,009,224,870,945,102,934,222,515,915,306,453,626,
760,307,471,731,302,860,154,854,967,610,395,480,444,388,480,815,627,253,513,
788,541,110,435,512,859,821,861,873,292,913,021,110,082,572,006,972,977,454,
400,519,000,465,306,646,628,844,396,382,054,461,744,624,539,492,305,935,364,
293,020,373,883,533,212,384,152,384,681,914,979,186,196,714,441,760,682,602,
218,453,778,583,758,555,279,847,500,666,581,098,971,872,943,717,144,131,509,
038,476,204,871,078,875,343,071,391,944,681,717,667,830,011,326,606,340,469,
933,561,568,788,387,707,829,964,254,875,905,503,757,495,220,836,975,117,849,
619,351,727,075,366,224,233,623,086,281,605,916,198,610,521,135,262,382,726,
294,696,994,125,862,478,817,879,636,799,679,657,821,808,684,937,364,043,980,
166,154,786,036,193,436,710,068,135,911,207,332,362,638,267,687,825,223,658,
316,191,714,837,688,107,293,545,513,279,315,928,461,788,513,167,702,722,333,
487,378,144,933,443,374,979,608,648,804,083,331,930,380,938,527,210,682,502,
374,662,844,410,600,212,250,362,645,797,709,708,922,494,043,692,751,940,571,
779,952,427,211,054,671,779,126,912,461,257,935,607,948,070,627,258,544,820,
068,506,704,371,032,654,664,788,361,111,950,462,685,553,472,124,602,560,848,
473,636,936,871,060,381,738,684,555,837,157,133,349,671,958,711,583,705,234,
369,789,838,745,012,861,929,278,678,485,818,005,529,275,755,843,815,790,364,
819,113,097,984,659,895,556,346,243,396,738,981,086,318,932,697,756,045,485,
995,834,441,745,224,308,771,700,055,617,742,638,610,508,137,620,881,218,629,
609,584,517,977,392,475,928,094,324,833,874,569,865,219,501,621,948,091,752,
785,152,571,900,213,684,984,795,533,856,347,359,841,185,065,795,942,932,238,
737,995,080,407,264,696,215,952,986,347,500,013,940,340,834,946,611,584,831,
025,550,360,037,563,934,015,194,534,354,711,089,202,256,016,701,905,009,969,
154,904,386,176,612,481,637,686,293,765,883,226,546,276,645,770,380,013,623,
418,444,840,264,498,834,065,477,909,625,968,621,916,060,562,871,290,002,525,
461,965,733,703,497,345,200,163,564,610,667,693,672,491,810,860,121,404,519,
278,958,277,863,334,796,869,016,537,110,479,473,902,719,557,123,061,591,614,
442,420,627,655,616,696,224,950,111,526,152,654,577,995,902,720,922,247,988,
235,536,966,579,328,134,768,993,554,796,206,074,694,817,775,586,564,944,380,
027,784,027,174,861,009,058,302,380,845,574,901,834,620,961,836,715,232,337,
904,883,998,399,246,763,096,648,669,922,170,171,565,402,332,406,892,452,662,
626,313,143,389,177,745,508,768,680,152,125,149,811,519,840,896,213,017,600,
856,806,078,884,656,753,386,688,798,298,754,127,915,274,318,363,111,433,609,
014,720,767,035,032,672,977,384,575,542,037,371,812,937,878,875,984,313,304,
735,337,452,117,106,764,480,833,500,345,459,445,420,841,115,590,319,870,865,
238,965,581,413,627,425,981,487,788,951,031,913,885,173,448,205,906,581,257,
994,064,221,483,101,278,697,526,941,683,762,469,234,385,671,208,604,377,192,
973,962,777,148,873,756,478,713,609,485,713,890,420,534,953,752,504,801,318,
237,736,166,778,903,588,596,757,304,397,267,184,193,371,202,289,116,277,724,
706,591,275,252,032,296,500,879,950,329,454,848,232,724,885,195,652,288,792,
840,598,009,357,795,037,738,176,979,578,290,214,259,535,104,100,307,816,042,
402,089,778,247,001,248,512,643,039,860,087,327,450,778,299,390,323,724,083,
268,036,651,031,369,347,492,513,864,651,025,327,634,278,436,501,386,015,048,
393,049,157,641,410,982,321,573,300,396,552,265,046,452,040,733,096,432,475,
582,014,164,989,371,716,993,402,911,402,743,622,880,946,893,139,511,952,526,
401,373,201,864,952,899,763,067,426,809,616,422,855,008,793,553,616,562,576,
911,988,785,386,761,425,230,547,899,493,861,851,201,421,905,394,122,055,245,
388,852,299,404,712,199,667,949,701,410,945,394,547,998,734,494,834,027,178,
401,742,118,155,910,868,451,833,881,509,606,951,209,663,823,750,589,905,700,
277,443,516,971,186,381,474,047,819,697,487,849,087,272,814,378,917,656,529,
717,617,873,847,524,058,965,526,909,445,912,597,497,599,633,794,181,094,581,
282,785,112,146,341,450,854,488,949,621,370,224,627,292,422,085,730,296,259,
570,652,885,324,220,576,873,216,561,315,948,098,945,228,657,245,005,856,628,
759,314,254,476,086,875,937,227,834,435,475,033,837,904,863,997,357,575,031,
389,647,073,364,635,619,016,157,887,711,971,910,830,335,988,739,720,387,998,
125,439,405,746,962,624,296,376,661,281,129,596,240,802,581,676,340,487,061,
188,043,277,665,767,300,163,606,377,738,351,830,654,847,490,683,114,906,570,
857,878,117,370,794,737,411,348,392,584,476,155,761,126,992,584,459,082,813,
277,632,919,468,026,261,847,148,315,226,407,102,564,027,409,251,470,843,964,
838,219,679,219,022,442,111,208,920,342,550,636,039,033,708,479,094,545,772,
374,335,228,195,351,696,388,102,752,156,176,898,819,971,559,075,167,931,433,
817,559,864,032,631,743,035,976,128,095,462,663,983,835,686,748,889,260,677,
035,265,243,813,302,066,117,345,715,935,038,254,811,586,641,848,308,720,484,
237,715,355,565,514,930,463,042,215,525,897,657,106,957,484,521,476,038,158,
746,501,625,893,145,955,004,357,131,318,843,203,514,456,009,224,358,153,315,
962,430,636,471,854,965,913,753,429,349,764,061,164,092,092,735,702,843,260,
950,697,573,246,176,274,647,082,729,256,987,657,106,094,695,598,497,857,314,
698,937,722,668,441,411,165,316,021,980,173,173,663,986,322,072,122,083,613,
657,727,604,395,873,113,621,053,790,902,327,188,307,152,184,593,849,045,118,
266,999,831,697,320,003,314,705,492,763,894,435,706,233,009,607,797,622,293,
516,023,044,851,524,962,368,835,445,586,406,122,003,176,135,135,169,031,359,
865,346,872,758,502,578,932,703,844,803,905,272,334,438,345,179,042,703,379,
361,538,091,751,822,860,952,494,261,290,206,402,801,297,730,090,086,682,199,
538,877,109,276,300,699,673,113,108,567,177,533,115,959,779,555,115,898,498,
203,229,909,084,000,216,525,855,262,210,237,384,069,173,957,050,305,877,242,
298,255,374,160,969,635,339,404,841,583,958,112,197,006,300,774,565,458,177,
923,540,190,530,612,500,047,124,157,513,424,684,522,799,623,848,746,267,893,
493,367,654,307,400,520,856,043,229,335,109,973,208,755,917,314,524,193,087,
049,465,993,591,534,580,070,487,079,019,536,321,382,198,611,713,986,505,326,
958,758,246,531,820,935,813,860,093,235,539,264,007,858,065,162,093,686,964,
580,294,793,455,577,074,065,142,409,454,565,871,596,389,633,846,795,641,235,
570,721,822,028,053,220,209,669,079,596,102,646,670,393,524,101,689,205,079,
505,365,261,290,655,531,993,713,674,436,147,862,313,173,881,024,913,462,027,
466,749,622,845,477,472,481,974,863,624,382,101,072,427,715,132,189,915,340,
070,214,860,399,588,527,049,666,123,254,468,232,095,088,597,975,542,490,690,
300,643,052,965,040,808,067,443,721,281,245,469,770,131,966,595,348,963,891,
862,342,355,141,636,783,504,980,669,416,440,472,821,556,305,155,289,071,802,
908,616,968,666,023,044,857,392,805,594,886,872,341,788,710,286,353,887,596,
205,159,820,876,188,242,124,606,306,450,051,986,479,683,417,187,782,303,252,
428,699,059,413,337,089,290,166,037,208,914,179,028,632,378,538,767,822,546,
120,351,787,270,683,784,500,713,136,910,362,475,709,100,563,761,298,305,669,
940,326,651,106,484,093,718,109,871,263,968,984,467,305,476,605,815,751,265,
072,781,764,044,344,026,464,594,742,819,940,938,472,656,684,844,510,389,843,
202,571,288,858,023,141,206,969,407,973,677,736,004,954,745,968,920,424,983,
669,035,690,120,508,260,393,375,332,411,011,119,049,458,106,500,997,395,814,
901,788,816,301,756,308,786,584,077,593,236,080,919,744,802,694,009,707,721,
640,115,799,656,965,058,165,694,512,614,070,064,251,625,787,655,685,781,271,
381,003,320,693,942,431,299,811,117,244,596,602,355,794,986,268,319,389,303,
388,286,815,641,440,405,692,252,407,045,721,825,528,831,579,154,666,307,323,
013,804,190,553,699,043,176,565,759,920,490,001,301,148,761,779,391,847,638,
862,398,234,410,211,450,649,495,972,371,143,914,448,833,551,812,991,242,249,
795,144,911,078,757,272,159,608,648,353,923,976,858,778,896,996,665,359,304,
618,075,532,416,167,120,867,692,461,453,209,821,285,747,651,535,867,491,783,
362,580,722,616,150,918,550,611,551,739,538,962,745,592,289,017,921,274,318,
448,721,857,074,546,844,678,778,169,099,697,368,756,124,326,327,934,787,673,
601,299,552,206,962,414,665,459,820,097,385,325,711,086,553,610,424,960,416,
250,644,769,131,563,244,165,248,372,898,185,118,763,726,545,643,418,826,863,
580,671,180,025,208,053,814,480,720,148,426,753,987,213,638,450,512,569,405,
151,866,760,221,393,078,159,359,420,497,252,648,841,029,499,169,778,916,925,
289,881,581,841,259,804,222,224,989,148,328,077,943,746,354,321,260,852,547,
277,731,610,881,874,277,253,408,356,011,256,508,943,293,397,245,156,702,709,
751,357,759,624,402,079,623,226,470,534,006,485,310,698,484,986,061,558,526,
201,256,957,936,863,067,704,949,400,871,882,105,870,558,883,598,096,148,211,
631,343,217,324,511,166,415,173,370,149,155,540,755,163,695,894,542,649,412,
387,786,433,043,167,699,828,171,748,962,453,661,104,727,260,535,822,855,268,
987,708,673,989,172,148,611,751,464,605,219,261,105,045,322,414,290,250,763,
468,714,573,738,160,582,452,020,929,886,884,475,218,767,189,454,420,868,699,
530,337,889,308,146,627,154,156,177,362,539,632,694,380,667,770,487,162,765,
500,220,314,770,938,530,700,357,373,362,961,011,568,267,108,395,531,203,089,
345,141,942,410,357,100,346,952,965,933,266,800,913,396,793,133,145,869,820,
521,606,111,606,293,221,800,937,357,781,462,389,740,611,208,981,368,737,877,
330,374,558,421,382,446,906,607,595,836,764,211,271,327,237,719,575,460,019,
246,196,592,198,770,777,605,873,775,043,330,786,432,848,324,048,534,342,187,
699,614,247,239,819,764,195,031,527,117,434,347,940,432,257,520,279,006,527,
661,100,691,905,498,051,954,977,016,866,369,190,972,447,191,047,286,322,646,
223,805,489,347,344,014,104,055,170,671,145,083,993,825,551,187,920,615,687,
410,935,796,423,448,918,970,015,074,269,919,108,763,207,054,439,759,931,321,
130,740,772,111,636,424,535,924,795,086,049,236,233,128,483,116,928,752,635,
480,731,825,946,224,023,451,986,727,279,546,659,679,309,604,316,264,977,133,
559,935,304,916,260,810,714,519,254,221,852,039,438,266,668,629,897,321,126,
954,863,423,159,144,699,356,562,863,268,718,234,324,124,016,699,901,282,478,
796,405,737,143,480,621,926,948,359,444,074,386,533,879,198,293,466,656,156,
174,509,619,025,581,415,151,610,623,502,786,570,796,788,850,052,648,791,071,
632,120,606,614,501,885,758,394,622,274,684,553,759,167,251,598,258,795,884,
137,616,266,205,140,541,904,570,469,308,983,360,118,199,983,367,581,010,477,
906,723,576,351,889,770,407,652,449,627,997,848,396,579,534,153,486,976,663,
623,406,075,277,487,194,736,644,632,939,018,878,708,271,522,569,023,505,226,
443,068,505,938,570,254,109,611,528,372,759,721,526,316,226,235,629,124,212,
512,840,092,868,505,093,730,806,997,796,124,907,571,921,838,599,237,802,075,
035,103,276,930,133,502,267,488,920,170,754,739,786,000,520,480,072,827,791,
535,346,164,830,840,584,085,764,878,424,114,250,484,411,528,456,119,397,357,
815,439,817,436,185,558,194,600,911,774,452,158,755,378,198,858,254,445,699,
354,265,191,082,546,677,019,187,087,798,463,317,069,779,775,694,543,111,096,
795,587,041,279,038,073,276,752,271,808,948,997,303,596,361,926,918,576,493,
419,743,922,235,148,086,389,827,344,554,268,611,527,380,854,978,422,771,071,
579,316,394,295,694,655,095,555,508,649,843,598,766,212,082,779,411,434,938,
401,734,414,889,824,172,088,277,264,226,770,970,220,151,082,603,239,395,480,
595,738,968,467,997,225,706,893,396,009,947,961,315,047,231,910,505,778,404,
583,438,042,348,449,707,988,846,104,661,820,753,097,250,962,236,835,178,113,
485,625,038,018,818,787,637,823,145,624,574,944,721,669,244,723,050,284,610,
800,795,143,339,439,512,878,784,853,176,224,714,154,520,414,608,825,384,456,
715,461,685,867,565,793,248,304,441,813,920,227,790,269,167,714,618,669,567,
786,035,725,203,136,595,725,172,985,663,482,401,180,098,215,270,314,847,358,
226,277,400,449,752,055,988,909,581,641,958,627,777,870,865,770,637,397,015,
630,446,234,219,522,945,467,383,600,871,687,189,446,955,995,906,674,489,162,
188,652,241,657,031,342,702,663,128,057,315,982,408,017,419,679,820,430,835,
493,292,724,941,993,669,384,893,204,497,853,606,689,229,808,412,462,278,731,
509,462,773,094,181,777,152,358,453,687,175,039,856,871,207,919,404,765,834,
832,904,272,433,680,605,125,126,912,489,624,830,991,601,991,368,367,330,486,
119,967,184,440,611,980,456,239,810,955,281,248,778,259,076,586,386,016,240,
382,368,213,902,067,513,425,600,566,305,167,736,368,997,857,092,034,145,623,
744,865,062,788,637,500,179,185,226,294,417,020,624,473,409,541,698,148,874,
850,745,413,592,952,649,584,328,510,431,882,932,491,675,799,790,214,828,694,
839,987,806,034,268,190,316,218,775,855,325,825,317,680,328,581,120,751,934,
140,570,529,660,795,430,538,605,563,919,457,182,127,905,001,134,372,092,728,
485,639,816,821,318,490,268,157,481,427,667,409,463,301,395,860,559,072,916,
954,395,676,922,594,261,816,392,267,401,035,997,287,248,072,572,111,526,703,
738,339,851,981,458,653,259,168,111,031,126,839,931,340,521,324,152,334,373,
661,896,470,041,424,747,787,049,550,818,209,859,255,930,283,103,180,198,805,
284,701,568,463,419,317,602,340,431,168,148,046,870,562,657,145,905,098,751,
221,269,499,832,869,442,517,893,660,822,997,905,130,722,304,424,154,443,693,
562,161,923,464,056,995,545,478,195,220,343,818,505,418,874,111,582,329,061,
964,815,221,469,026,567,903,993,037,656,642,832,548,014,559,937,011,555,109,
160,623,901,900,214,317,980,960,955,478,718,188,692,317,385,352,132,811,151,
193,059,551,901,132,509,578,386,494,091,901,671,835,483,462,910,144,972,982,
050,423,746,389,852,766,868,694,090,797,047,082,610,036,601,942,842,103,518,
670,431,997,579,632,188,471,039,979,839,678,393,185,359,293,997,464,694,625,
744,458,221,783,450,780,414,080,940,935,196,743,662,776,040,071,213,195,552,
052,471,334,856,541,262,007,300,847,831,365,201,279,574,573,687,803,993,616,
586,362,492,913,386,705,025,347,296,734,779,054,173,301,274,794,872,524,837,
146,314,730,292,864,204,308,708,584,498,797,430,820,721,863,952,479,150,009,
666,778,797,099,611,837,137,050,502,925,860,113,916,903,357,302,592,592,758,
715,016,690,392,128,980,128,874,763,956,287,723,914,061,585,164,411,207,404,
224,135,487,228,498,243,355,580,318,030,486,600,772,085,756,663,147,087,708,
069,036,490,314,631,391,176,510,333,693,361,083,929,916,287,451,370,198,097,
485,646,559,861,732,607,069,085,745,506,292,659,125,523,037,529,948,140,775,
534,423,868,693,054,984,958,892,100,052,767,856,162,298,835,830,784,867,554,
831,789,790,305,084,133,063,074,919,171,178,636,417,415,745,085,243,156,003,
465,592,212,348,131,018,490,381,021,426,697,107,999,015,400,125,069,806,706,
862,412,930,987,026,576,718,362,935,837,383,076,353,960,897,523,673,156,843,
048,245,809,331,595,446,678,300,826,681,008,156,058,146,503,570,311,023,497,
552,984,188,266,588,794,892,379,288,063,859,362,848,949,690,786,917,234,923,
389,382,868,847,920,473,962,024,926,797,274,781,417,134,015,254,423,803,063,
649,343,136,504,607,584,765,037,684,813,062,521,235,014,612,701,026,668,939,
680,615,190,838,843,346,514,765,286,553,877,154,832,617,291,333,113,771,845,
229,323,420,490,499,060,465,084,302,152,839,528,385,583,218,408,352,313,911,
065,275,390,575,721,482,095,459,848,808,538,818,224,878,963,217,638,261,571,
613,489,761,591,296,521,555,359,218,087,892,642,431,905,773,797,185,922,382,
234,215,893,042,894,245,800,618,741,700,363,041,893,260,202,010,837,998,074,
226,883,845,871,542,678,473,838,209,474,323,485,509,312,153,695,922,552,394,
654,281,931,291,779,615,664,722,840,058,805,534,660,905,881,261,035,610,704,
340,844,009,823,906,042,364,406,836,540,860,012,887,350,307,241,386,627,971,
332,096,379,458,781,462,150,631,132,398,140,608,725,009,905,319,399,636,276,
135,707,080,161,701,741,244,620,626,010,738,752,789,356,400,629,524,330,698,
942,214,835,925,435,643,130,449,883,310,711,291,736,136,871,268,680,797,553,
864,285,259,862,871,067,957,317,831,286,349,915,640,259,966,040,476,391,439,
190,385,491,652,042,177,773,205,686,570,230,029,667,495,711,373,210,324,883,
375,509,710,139,836,082,323,388,862,354,234,711,272,267,856,241,171,034,279,
259,138,763,553,392,164,588,137,321,756,193,487,863,365,898,191,174,187,817,
458,160,804,168,644,109,951,138,520,635,966,909,477,104,444,756,806,719,275,
940,738,426,722,340,828,432,177,746,127,889,277,016,945,216,597,992,531,902,
552,682,949,720,812,653,857,872,935,524,352,472,851,166,086,975,521,115,050,
389,797,059,724,079,599,854,871,401,592,685,101,752,960,797,395,454,038,264,
346,269,683,081,652,540,539,086,240,585,073,920,803,150,947,235,668,701,187,
852,288,675,476,882,745,267,029,422,254,405,161,445,258,332,359,105,928,716,
377,380,587,350,019,591,829,408,238,644,157,859,269,027,836,974,893,784,570,
867,170,003,033,274,208,327,688,817,281,998,463,387,671,512,556,249,809,586,
313,161,626,177,637,099,380,306,405,945,657,931,277,240,908,822,459,619,747,
934,806,109,657,838,415,201,481,309,438,814,410,388,477,728,915,094,490,412,
733,140,462,361,215,633,793,463,821,240,908,602,764,124,779,139,367,515,696,
448,905,912,044,825,615,696,240,003,329,492,643,453,210,269,992,707,443,546,
334,492,382,345,549,015,229,949,888,685,428,543,234,082,875,803,964,343,480,
226,378,161,222,612,419,605,684,641,273,226,761,886,745,544,862,652,457,422,
715,036,270,950,689,403,812,668,192,026,484,671,418,457,729,057,536,553,821,
571,465,512,378,213,097,721,586,290,625,038,651,032,824,442,781,598,867,203,
608,279,082,520,223,065,765,082,207,695,447,156,193,538,708,240,004,888,794,
178,233,483,406,890,830,271,867,928,627,810,353,108,081,300,835,890,496,588,
838,086,661,582,668,160,792,831,329,678,028,719,200,139,691,628,144,156,861,
730,780,479,137,623,933,994,284,786,039,977,245,705,245,186,285,266,264,937,
110,230,684,339,377,498,883,470,709,401,860,749,707,335,486,504,742,028,328,
048,347,311,820,280,107,574,807,207,143,502,466,706,788,879,784,781,230,810,
184,350,572,680,301,213,201,844,063,605,173,799,938,134,395,125,925,627,634,
015,768,231,053,170,854,752,708,431,783,418,665,923,787,348,736,242,103,021,
860,582,507,479,868,005,712,137,155,195,807,112,137,476,101,819,469,267,159,
402,071,714,690,815,425,886,301,863,895,382,057,882,837,980,701,347,969,734,
776,862,021,375,574,807,889,021,021,365,292,972,205,025,326,530,475,360,937,
691,651,638,133,025,437,056,265,217,679,384,299,105,411,428,997,872,793,496,
087,675,241,222,520,830,258,008,755,555,144,388,089,479,149,577,561,370,935,
818,463,030,112,361,435,443,749,593,491,762,326,438,522,753,480,955,010,485,
869,828,610,225,900,250,394,613,776,934,722,523,257,568,067,879,169,652,035,
579,862,121,809,513,953,497,878,914,218,932,714,154,196,995,892,904,684,581,
519,580,232,059,534,345,840,782,482,258,276,319,452,579,574,996,426,407,965,
169,718,728,500,970,514,910,285,608,734,884,811,868,743,369,805,559,015,696,
597,529,564,804,636,096,335,329,024,132,287,523,613,453,884,558,045,893,682,
284,298,243,586,853,841,207,935,335,246,933,337,781,980,426,694,761,018,538,
460,208,486,312,253,788,968,513,511,238,242,529,268,086,946,431,377,968,454,
680,475,930,471,599,854,286,665,302,416,912,323,313,721,877,122,011,816,863,
840,540,613,637,584,800,075,729,363,033,035,755,113,313,493,220,053,288,426,
674,792,462,628,881,641,381,168,459,319,305,402,391,932,682,396,399,463,290,
553,877,499,924,767,575,585,061,553,379,320,973,784,107,396,636,718,532,403,
454,172,134,832,833,435,980,138,274,351,384,656,059,640,485,553,054,396,240,
563,448,116,187,710,395,415,911,150,310,831,917,868,652,273,920,600,688,609,
152,901,065,966,693,401,067,860,470,272,688,226,906,395,779,574,801,051,558,
094,948,604,322,973,346,565,011,267,399,239,798,544,507,138,340,881,010,291,
627,978,622,053,783,508,939,367,868,762,001,736,533,278,646,499,368,944,099,
785,341,007,534,772,176,673,553,590,216,504,013,393,566,607,924,605,493,560,
434,556,383,553,061,599,971,068,824,118,999,199,939,131,439,205,497,832,012,
840,899,615,902,840,594,637,018,223,123,316,341,105,391,317,470,495,232,490,
470,267,892,327,613,652,977,250,859,380,176,903,612,479,360,184,498,674,559,
165,654,540,929,099,442,248,676,607,106,194,788,989,202,855,925,902,400,765,
104,359,747,995,689,041,804,993,671,322,402,267,569,702,264,426,979,617,315,
045,089,222,335,168,431,162,022,049,147,078,574,551,474,764,359,509,181,709,
593,942,711,278,311,221,993,844,145,775,653,585,426,995,132,049,986,716,522,
865,927,345,619,125,601,106,800,261,922,173,688,910,968,171,094,128,565,957,
260,211,662,639,609,520,878,705,488,759,314,883,941,017,996,346,334,483,728,
099,899,945,829,222,548,418,900,438,654,397,977,524,468,439,570,147,929,070,
046,441,788,906,627,923,250,932,489,060,347,765,517,769,810,101,550,084,680,
606,443,245,469,208,422,147,879,150,619,368,273,459,222,241,791,043,350,870,
869,576,650,952,958,549,268,233,404,823,254,829,249,060,839,030,193,848,458,
990,853,469,955,358,309,332,244,471,102,183,706,042,131,454,158,163,221,326,
311,399,101,452,693,195,962,056,227,943,350,268,235,523,331,494,145,068,773,
985,527,141,096,807,748,836,042,425,312,705,715,702,295,079,032,098,716,105,
403,289,617,366,810,465,795,388,042,435,935,142,292,098,929,267,632,373,445,
925,446,825,792,223,254,012,981,254,797,340,782,926,106,542,160,746,564,038,
775,961,665,293,129,737,468,848,675,403,952,979,017,994,163,320,408,486,521,
887,213,385,285,455,105,960,289,450,588,078,521,551,424,685,899,183,213,890,
944,623,015,442,877,700,030,477,399,575,037,508,631,498,322,828,476,948,387,
697,822,526,839,880,520,750,922,133,348,562,718,684,054,764,704,114,897,440,
242,850,261,820,617,278,205,116,395,620,731,219,051,311,424,533,769,800,120,
957,844,194,892,733,972,932,840,682,879,032,141,317,857,242,159,802,548,652,
457,847,567,813,205,809,201,900,181,880,309,335,243,551,483,372,555,243,835,
679,590,282,601,456,145,853,678,829,762,579,935,474,051,401,716,443,049,576,
891,411,535,966,997,035,558,278,504,517,356,551,071,197,721,068,831,309,116,
788,761,563,270,617,441,946,882,221,164,707,985,892,560,212,853,515,108,661,
133,521,427,176,588,340,579,746,071,626,013,296,187,142,289,100,451,939,078,
955,212,056,557,097,855,334,763,446,395,003,857,347,126,386,131,072,465,744,
513,319,349,606,806,917,542,364,366,198,610,376,491,766,836,202,928,141,188,
025,206,289,884,565,875,046,705,428,398,682,458,664,542,110,609,599,979,417,
741,713,243,551,700,159,459,805,268,332,728,063,292,575,850,426,128,439,677,
969,859,922,807,433,845,234,702,295,029,124,044,559,394,517,061,631,339,410,
571,772,860,808,700,089,612,545,400,918,928,664,846,412,949,229,703,559,603,
704,287,178,119,084,269,255,955,947,789,884,290,914,709,648,593,569,685,840,
612,247,023,652,507,278,679,408,823,243,415,481,267,677,586,801,523,932,672,
097,463,687,825,135,050,051,889,579,281,858,242,943,543,590,568,778,239,286,
255,312,256,063,735,534,840,135,279,063,885,384,424,456,570,178,786,427,188,
017,188,115,271,687,724,676,013,035,799,413,749,120,903,993,737,367,745,160,
511,758,117,273,393,253,984,604,711,180,300,653,539,326,539,333,981,421,360,
736,705,851,232,232,223,560,839,812,615,433,388,912,783,128,384,104,987,993,
017,905,822,748,145,217,334,253,329,070,810,316,431,507,958,402,404,306,175,
606,949,076,593,638,873,697,207,183,002,765,689,377,775,589,761,358,341,018,
832,282,451,715,697,811,159,266,535,938,485,116,135,910,476,597,633,660,038,
226,356,478,871,751,916,377,994,674,254,183,253,905,147,808,262,352,534,270,
486,364,294,348,206,823,746,439,724,597,767,385,641,636,258,184,096,303,522,
277,071,989,346,724,144,100,684,604,374,969,722,686,499,730,139,250,017,023,
880,834,176,362,646,085,199,417,534,534,773,558,984,326,897,014,425,145,904,
032,109,425,302,321,809,720,186,073,980,773,857,117,269,348,359,575,670,966,
363,485,901,625,373,208,928,660,801,621,779,911,156,156,305,318,080,581,503,
147,401,160,530,618,512,642,873,673,050,972,243,987,737,622,503,032,031,880,
647,641,309,617,404,627,993,121,912,235,863,360,555,068,374,990,584,503,814,
746,491,042,297,641,101,062,292,698,654,951,549,115,277,079,393,269,902,646,
827,155,386,729,698,123,146,370,080,421,259,208,860,140,747,162,248,986,164,
349,883,652,322,052,820,271,807,446,417,750,279,753,986,999,336,287,337,913,
636,966,926,399,621,850,173,104,081,556,650,758,986,554,779,082,425,453,733,
332,568,534,016,830,750,666,344,610,614,876,462,988,227,273,525,802,622,419,
466,789,790,969,604,041,025,747,767,443,446,787,770,064,998,666,901,226,419,
279,818,796,059,790,306,527,333,599,877,870,118,418,796,843,677,827,144,210,
905,754,186,940,099,593,007,617,181,614,194,139,673,657,795,940,073,429,803,
386,718,395,509,019,376,775,574,618,280,141,506,824,915,099,384,578,969,557,
217,836,161,145,963,472,258,216,023,424,100,836,198,924,643,898,018,920,319,
427,451,326,349,427,776,786,614,231,266,437,824,275,570,203,642,804,089,959,
429,200,042,961,357,663,327,117,605,994,104,107,462,700,097,270,468,532,190,
300,663,355,311,841,010,279,150,444,251,421,175,753,337,198,903,294,003,685,
379,051,793,526,796,019,157,623,179,497,621,699,981,254,285,109,273,115,773,
654,356,344,804,214,098,322,579,436,163,077,112,707,226,611,244,888,490,082,
505,542,150,954,840,892,315,193,666,110,526,314,454,149,809,465,599,213,398,
360,682,743,372,671,493,626,346,335,395,795,224,663,319,504,530,579,959,868,
339,576,159,409,310,431,417,183,071,632,552,249,291,491,733,961,190,621,422,
656,456,082,822,628,161,617,803,373,110,297,420,564,682,452,913,555,701,238,
555,225,208,857,399,464,658,874,580,673,540,131,828,253,273,484,250,574,778,
239,485,359,577,418,076,042,404,320,794,764,011,611,559,369,930,202,327,434,
737,731,836,128,878,708,338,454,638,929,907,472,155,204,087,591,092,340,145,
461,952,520,338,581,573,615,781,861,833,934,415,551,809,105,969,284,416,686,
882,790,234,613,869,710,087,307,006,393,977,492,329,443,446,967,227,165,694,
464,117,422,918,161,997,511,634,380,715,362,070,612,901,213,130,489,160,131,
243,127,220,004,654,552,736,347,212,461,892,270,694,113,516,120,225,769,459,
375,069,878,404,126,499,073,864,446,354,948,483,481,243,168,320,777,990,392,
192,446,435,726,392,103,855,834,329,584,754,647,959,704,350,288,559,358,687,
437,303,333,248,500,093,033,696,477,208,293,411,695,706,581,422,930,584,254,
157,396,835,931,997,817,190,717,055,222,781,700,685,727,517,376,921,935,644,
251,872,442,778,793,076,565,899,782,386,806,278,090,017,044,794,603,944,976,
586,645,165,349,973,354,591,844,129,501,915,965,970,271,301,347,760,060,294,
470,611,688,727,301,161,981,096,305,136,114,264,484,223,165,083,699,729,605,
310,626,588,697,356,088,972,911,166,016,266,183,796,723,146,994,527,990,265,
447,333,945,954,342,340,782,132,630,536,601,159,022,535,346,403,496,178,416,
762,126,150,937,930,399,338,449,188,312,534,824,976,923,945,901,518,432,215,
547,405,660,156,153,289,588,535,368,301,560,667,049,035,590,269,772,995,436,
327,930,105,645,038,160,409,613,881,103,077,565,420,926,600,409,078,492,400,
694,863,405,856,721,951,614,239,253,219,019,266,991,668,575,831,318,946,586,
897,897,907,086,103,921,787,109,247,700,858,367,431,345,637,892,498,517,956,
283,473,915,918,263,073,141,739,190,615,486,463,292,987,942,438,411,641,709,
995,856,691,417,833,158,926,055,346,571,035,967,593,201,966,413,059,744,700,
187,326,698,172,465,320,429,547,558,298,513,107,230,077,495,225,019,997,320,
688,470,131,359,817,912,667,988,111,361,396,222,751,338,468,999,521,833,374,
212,067,280,143,889,203,994,102,530,903,009,443,454,212,785,599,052,035,893,
813,069,131,435,459,016,153,327,621,705,744,495,697,924,840,774,094,197,551,
059,786,129,840,839,693,769,009,669,601,761,556,058,165,832,740,622,754,989,
572,426,228,110,737,958,332,595,014,753,842,447,160,333,379,224,818,097,903,
346,842,678,009,701,638,392,574,445,287,900,994,519,720,669,151,451,879,152,
276,526,476,153,673,351,494,830,401,102,567,715,056,895,071,638,895,236,113,
565,439,760,496,689,948,647,824,413,156,063,303,565,396,035,084,382,982,464,
274,774,758,647,452,005,418,460,289,793,115,265,556,922,076,819,798,990,839,
323,063,536,135,372,408,422,993,114,763,988,386,672,043,287,358,076,286,479,
758,698,497,425,589,659,634,876,628,604,674,236,715,320,224,345,124,509,701,
187,858,810,236,739,752,899,459,540,739,108,930,756,369,114,945,465,108,130,
651,117,875,654,503,289,133,932,074,600,177,657,684,918,211,077,804,363,669,
854,220,536,756,196,308,424,692,456,173,664,825,849,017,902,104,279,908,935,
246,033,219,375,725,137,084,369,578,228,708,400,024,635,944,873,163,057,987,
432,461,094,405,193,275,190,477,991,374,882,419,106,026,258,899,082,926,277,
569,810,556,294,146,055,193,406,164,037,861,546,488,030,794,209,827,247,570,
997,930,653,501,368,786,844,358,113,040,548,207,132,593,254,134,267,858,214,
033,546,774,467,212,987,926,760,198,474,144,570,772,502,019,731,976,972,822,
299,566,571,104,113,678,619,984,198,151,716,803,279,239,692,427,248,875,647,
649,464,681,151,550,611,730,977,553,431,309,953,664,996,502,510,172,241,530,
963,884,708,474,035,377,447,339,726,290,806,332,996,277,832,723,262,335,740,
512,343,750,449,849,971,748,090,752,964,952,987,995,412,170,358,234,116,846,
216,307,458,692,709,092,546,002,985,999,266,114,923,778,686,945,696,123,498,
575,271,843,055,856,069,019,250,311,857,979,122,362,607,617,735,205,839,949,
698,104,419,436,334,860,255,707,777,840,275,559,356,819,064,614,726,754,220,
651,803,578,865,025,270,220,025,936,621,817,737,975,656,380,153,139,529,889,
832,918,064,470,818,279,282,516,029,060,544,788,205,121,975,428,806,621,802,
745,677,112,261,252,210,536,549,941,715,009,390,990,705,536,287,421,719,003,
542,135,861,485,875,343,175,626,177,858,934,149,636,680,779,269,118,956,416,
046,005,157,112,819,785,437,026,518,740,911,865,388,116,303,699,519,368,038,
040,277,547,453,664,310,725,059,209,579,339,782,146,610,399,643,854,123,868,
893,856,392,289,801,677,600,247,057,151,624,871,945,581,972,896,202,305,282,
228,786,370,097,259,805,373,363,766,627,807,036,239,052,455,841,057,756,994,
835,171,863,416,885,169,535,053,229,636,730,857,325,355,088,109,627,427,349,
242,971,986,069,318,759,546,154,384,815,730,635,928,922,806,615,651,408,901,
262,240,059,106,986,343,514,737,784,363,178,086,506,844,375,263,273,112,860,
299,451,330,289,679,345,838,550,946,069,408,305,920,699,643,741,581,282,336,
118,149,439,656,934,951,920,226,344,699,359,937,529,760,796,359,018,682,975,
667,054,855,592,054,274,019,771,433,316,825,245,146,839,981,475,087,753,131,
957,862,828,887,787,067,092,441,625,185,723,401,698,096,357,156,766,825,758,
985,939,853,351,018,924,579,122,032,553,920,692,644,474,121,141,402,880,066,
513,014,542,916,187,947,342,955,400,140,630,320,176,096,713,996,825,370,698,
110,032,314,533,996,201,974,754,196,747,112,946,497,057,798,427,128,657,509,
624,694,931,637,265,372,682,929,979,275,908,459,795,573,904,065,861,664,396,
310,821,407,005,323,948,389,911,793,943,344,512,512,978,875,112,261,510,988,
473,165,242,058,250,251,935,149,403,318,515,839,504,742,430,445,261,356,183,
313,306,518,183,856,993,096,897,708,297,307,803,046,273,146,134,143,080,909,
797,023,434,415,988,970,359,131,835,896,162,191,076,287,278,857,366,040,720,
261,185,970,036,951,520,130,089,227,012,969,060,338,626,526,784,899,151,365,
009,023,428,853,830,257,986,136,337,261,263,385,182,073,867,104,902,464,983,
790,277,562,980,685,754,575,765,275,245,001,663,386,550,486,281,242,680,592,
543,057,159,743,205,987,975,136,908,156,611,281,527,450,735,694,338,261,747,
740,529,816,318,851,865,899,263,578,710,735,769,946,725,156,006,816,300,547,
175,966,835,755,728,555,776,117,173,640,380,322,250,075,912,850,937,220,960,
682,170,647,413,499,189,630,199,528,824,120,098,816,798,686,098,987,213,531,
336,466,827,547,828,229,802,824,713,492,430,845,073,300,025,499,416,573,817,
655,169,312,234,067,868,199,991,621,124,223,993,021,245,873,663,423,370,952,
012,899,612,665,818,985,305,028,315,374,645,465,087,449,938,469,370,934,405,
111,425,065,723,676,269,515,374,980,430,359,151,328,405,853,377,909,037,127,
354,637,291,243,006,689,248,038,101,847,093,770,623,609,719,307,035,390,763,
598,412,037,501,439,281,235,884,464,391,675,164,225,369,459,375,880,888,944,
483,590,841,871,520,212,198,883,179,774,436,320,144,712,177,063,651,423,500,
692,678,013,812,940,458,068,913,826,793,221,723,824,631,182,358,457,499,212,
850,107,406,219,844,943,892,789,736,650,589,286,284,026,723,253,061,391,555,
538,610,919,692,959,485,035,907,074,921,147,248,796,549,383,733,168,270,582,
633,675,024,142,468,065,119,658,841,246,689,741,775,860,889,816,138,746,633,
176,190,024,972,608,992,947,004,668,823,450,438,544,443,175,677,411,575,056,
579,963,677,400,929,912,603,610,196,908,292,716,397,908,427,676,848,111,590,
903,359,278,325,041,296,796,148,271,450,177,465,203,153,599,292,807,609,961,
797,842,184,237,470,080,821,003,683,070,350,330,540,976,166,571,526,938,584,
292,337,916,542,025,812,047,118,975,423,516,538,923,920,240,980,245,935,924,
635,591,538,665,759,563,087,974,912,371,321,541,763,125,660,346,439,743,332,
147,875,427,565,553,614,684,198,953,456,416,468,935,863,267,148,752,999,197,
603,096,273,609,724,978,228,006,981,811,764,646,727,527,304,325,943,600,900,
440,445,949,113,974,074,058,426,155,974,131,510,311,974,575,222,099,077,510,
792,327,008,505,669,938,541,649,642,369,595,707,128,029,795,857,975,485,736,
757,997,347,961,617,892,533,422,300,320,405,111,099,409,520,939,805,460,470,
604,072,852,788,599,189,407,728,288,066,147,389,347,634,791,102,704,247,713,
526,867,845,640,221,272,712,267,958,124,871,647,032,595,880,954,072,207,697,
731,039,288,420,783,437,446,774,404,436,878,321,298,370,914,652,257,459,182,
588,967,414,273,893,240,003,367,065,881,305,099,693,884,111,877,727,593,567,
408,402,299,796,174,206,577,902,297,132,675,225,889,821,175,737,403,930,056,
932,677,879,743,565,451,624,838,334,529,037,137,055,955,089,027,431,398,883,
314,648,557,619,852,936,509,722,985,672,446,626,042,511,333,090,672,430,173,
718,763,396,604,582,631,135,551,917,118,209,607,853,630,339,676,428,027,154,
295,229,696,168,954,029,115,522,903,606,536,767,029,757,559,805,220,403,514,
886,330,213,588,351,770,862,731,359,793,114,470,006,821,093,362,472,406,331,
745,165,593,821,963,188,222,112,929,427,025,239,631,609,297,084,429,491,536,
712,744,488,371,313,049,546,331,688,585,358,706,296,382,311,597,551,891,536,
038,442,431,059,929,787,155,384,967,220,776,197,254,624,177,201,112,593,070,
273,222,980,092,563,628,337,789,594,967,165,514,028,873,351,129,976,875,419,
737,791,892,576,026,766,083,933,717,596,269,233,814,061,241,047,213,549,144,
394,525,033,496,312,148,299,221,967,756,501,921,807,255,822,033,391,747,861,
732,036,883,915,713,178,347,607,944,513,803,516,042,599,728,716,984,300,757,
347,333,314,466,777,864,214,174,964,404,946,555,813,312,542,108,620,418,694,
890,070,008,073,169,112,976,851,430,550,697,471,437,428,177,290,645,998,553,
537,105,959,419,749,658,109,088,794,698,384,655,368,394,536,070,983,441,722,
049,535,733,581,564,756,175,777,984,757,389,215,420,195,285,983,409,249,883,
172,575,884,143,538,128,851,942,667,103,815,501,594,639,163,529,722,695,818,
891,350,342,410,732,395,784,622,447,985,321,967,694,633,178,697,911,919,243,
116,343,642,300,249,372,766,685,959,385,222,563,203,354,923,300,271,613,529,
140,910,607,728,807,263,762,257,138,200,363,025,544,562,944,531,306,623,277,
798,467,928,423,934,543,205,047,588,018,193,751,368,090,472,333,626,942,431,
220,209,865,957,587,836,236,024,597,568,195,334,283,723,226,430,610,846,515,
634,262,209,108,135,479,119,710,005,978,464,238,283,341,509,879,285,501,589,
367,760,469,954,731,768,960,721,321,510,987,491,714,757,524,515,888,120,668,
893,821,042,872,630,669,144,119,545,614,701,860,429,830,967,841,853,029,861,
781,657,540,062,016,840,058,421,047,951,164,387,583,861,964,017,630,928,396,
175,358,282,151,336,134,770,920,050,013,285,346,601,196,229,240,159,333,136,
890,166,116,314,700,729,992,386,014,850,463,363,234,788,771,202,852,418,436,
969,848,296,649,934,989,326,144,364,341,892,874,164,881,975,443,560,731,771,
880,132,591,753,425,253,880,187,439,241,989,066,214,718,669,291,995,559,226,
533,661,033,345,861,749,782,825,525,794,194,713,172,900,470,937,303,430,448,
241,212,439,762,643,770,695,948,221,200,455,112,788,647,872,301,690,287,004,
717,622,167,278,213,491,778,642,006,264,257,190,514,949,047,563,994,123,720,
264,670,914,028,752,381,099,368,723,523,200,925,157,130,924,063,272,310,696,
349,309,909,481,964,883,605,336,315,814,388,980,852,004,969,375,343,435,818,
765,912,658,554,855,443,220,351,446,388,192,414,911,887,492,082,252,887,770,
131,877,138,708,026,024,807,288,675,305,136,322,321,735,570,193,662,867,420,
671,889,286,485,103,915,664,015,914,533,520,864,656,095,273,810,639,014,606,
155,940,133,749,003,142,456,863,599,637,980,426,977,564,998,206,123,073,222,
042,461,181,074,686,616,585,660,476,180,981,925,767,577,617,047,191,802,352,
959,306,126,095,089,368,557,306,899,483,851,824,500,574,200,259,563,578,849,
639,249,725,278,181,491,808,537,019,867,236,734,235,762,863,790,375,379,626,
017,341,139,513,756,819,360,102,271,044,807,914,132,477,340,466,121,287,657,
714,573,406,368,027,458,213,519,236,719,438,594,419,975,091,702,468,237,358,
092,334,964,762,033,476,508,194,769,769,672,336,995,040,529,965,861,476,009,
522,087,206,701,834,206,552,347,204,967,580,214,143,055,146,832,553,334,099,
201,914,284,618,313,964,599,517,669,935,660,924,349,211,772,800,189,440,159,
068,260,197,235,026,351,566,328,190,375,219,221,836,439,994,750,654,912,091,
662,775,185,150,559,408,126,076,878,172,137,440,972,522,276,556,153,959,568,
404,962,925,168,667,020,239,800,387,685,913,235,614,468,345,472,601,400,610,
750,068,210,188,975,343,034,358,087,975,934,496,500,107,046,152,105,962,853,
478,946,823,389,615,197,555,644,094,159,319,627,415,936,308,556,268,339,362,
571,260,565,258,930,051,663,344,329,453,566,557,073,534,536,321,529,527,397,
827,260,080,885,726,362,616,618,677,379,965,627,730,358,427,166,764,093,928,
985,976,927,348,555,679,700,551,419,894,817,070,457,540,612,955,671,579,373,
584,822,513,679,126,975,809,529,326,400,049,576,727,563,991,345,001,406,952,
799,709,046,812,967,420,651,572,120,697,120,219,823,297,603,323,402,261,539,
930,716,634,283,621,990,685,607,637,344,617,911,627,831,843,662,950,287,388,
344,380,139,897,736,186,881,427,849,803,903,901,951,560,738,265,961,581,086,
785,680,054,442,403,525,203,468,066,501,792,344,184,893,749,177,188,694,435,
937,016,952,295,285,951,646,227,135,472,104,742,059,440,122,752,491,065,122,
736,954,343,802,344,928,884,404,408,535,214,396,613,791,493,581,077,791,686,
511,942,298,595,983,020,924,546,571,152,078,305,711,146,158,582,996,586,848,
944,931,593,522,671,338,626,293,107,227,140,926,397,144,238,581,726,346,268,
526,756,160,004,099,636,878,686,351,004,845,104,264,038,432,507,880,263,524,
936,719,992,236,850,370,359,659,599,090,927,755,486,409,040,064,957,586,895,
604,542,394,027,560,899,098,216,923,788,491,393,254,695,163,367,890,751,650,
593,611,331,792,289,572,671,379,633,638,598,996,170,260,054,140,822,776,523,
296,517,833,707,950,035,047,604,666,306,693,844,515,203,028,286,580,652,478,
814,012,734,776,167,306,364,855,480,833,612,579,891,236,219,174,743,645,654,
614,802,056,700,414,421,953,278,954,078,626,109,397,075,655,663,519,210,487,
300,104,768,327,090,812,494,509,211,924,638,637,154,705,811,552,119,081,503,
941,697,212,459,513,175,883,523,496,541,985,148,584,404,653,948,755,785,417,
021,301,118,004,419,253,652,333,014,458,372,704,682,286,979,552,511,224,774,
934,562,079,309,310,667,462,295,614,275,554,283,870,835,554,009,422,595,644,
669,806,082,230,894,238,324,472,894,053,874,434,541,441,768,550,609,947,146,
463,512,856,416,539,000,125,928,030,535,167,948,793,652,478,255,804,276,480,
915,896,728,467,456,577,634,219,751,009,062,161,822,489,612,979,699,950,404,
061,901,898,285,300,281,403,128,873,079,624,086,552,684,807,369,700,789,095,
436,134,956,240,516,275,882,402,815,183,348,637,224,762,046,318,499,579,070,
956,799,720,617,218,447,357,870,082,400,205,623,809,312,723,540,825,969,170,
655,121,032,284,313,262,627,365,886,516,086,750,680,600,055,690,802,454,638,
035,157,730,773,507,467,991,570,182,738,883,322,998,276,740,845,766,952,015,
604,878,443,588,675,788,101,920,412,632,280,420,516,481,510,866,005,212,025,
102,952,445,120,936,511,471,111,119,215,730,751,988,597,429,344,522,057,294,
675,317,170,136,900,729,000,098,178,950,977,710,973,004,747,219,904,348,694,
269,658,627,580,255,856,788,173,753,927,245,163,838,639,447,643,584,918,104,
640,846,454,646,422,279,906,119,249,228,038,943,956,131,249,144,348,387,174,
060,403,607,887,294,690,232,723,400,516,327,407,849,709,944,557,985,429,703,
420,662,311,895,881,202,360,867,952,890,306,973,304,205,954,808,428,538,567,
666,416,734,588,252,803,457,262,006,102,758,126,526,989,615,230,193,576,649,
077,035,392,046,074,190,294,097,831,230,301,696,119,653,823,898,014,871,153,
892,573,930,024,025,104,799,488,854,102,854,938,991,498,862,607,217,607,175,
054,278,009,451,678,942,444,929,097,809,359,038,254,451,747,415,386,691,947,
021,686,021,542,789,249,078,430,403,283,334,348,490,121,609,346,558,504,040,
376,088,854,093,267,276,111,913,354,936,085,154,545,816,627,179,913,024,981,
756,918,437,905,190,062,853,325,209,708,576,464,056,187,542,288,638,968,782,
944,420,549,530,015,305,775,992,533,608,887,552,627,663,724,126,011,757,322,
126,380,608,622,085,074,044,791,032,469,933,936,829,803,347,731,415,667,822,
178,190,326,926,035,343,033,580,952,344,496,130,468,634,032,268,616,381,337,
010,344,825,968,718,373,598,173,710,624,574,367,482,409,702,464,661,149,978,
023,600,691,191,051,252,943,177,362,877,914,985,768,164,119,457,026,175,093,
970,410,057,934,964,545,310,717,863,321,500,819,883,229,749,453,169,896,752,
327,649,506,723,169,836,102,741,910,775,725,403,399,933,938,652,306,475,102,
036,331,088,688,624,033,633,583,121,563,219,306,856,582,965,920,840,010,603,
889,092,290,119,311,588,126,420,864,281,324,798,518,408,508,646,506,891,346,
618,421,218,428,964,401,518,964,634,604,925,904,185,492,712,535,916,825,640,
727,800,187,869,725,183,474,341,224,853,504,061,237,480,405,483,669,086,367,
172,648,411,767,436,058,411,034,236,896,721,851,544,773,120,524,933,977,845,
993,773,601,093,766,111,430,929,037,321,660,266,633,820,825,709,022,883,284,
222,787,623,207,441,779,881,051,737,662,065,469,612,834,047,298,589,451,683,
519,511,411,075,019,266,641,986,444,453,699,109,079,033,157,172,525,318,870,
290,753,456,845,506,019,999,995,412,914,413,929,018,235,356,121,661,847,857,
270,327,126,044,282,685,562,063,659,591,469,160,552,629,873,109,149,940,558,
984,822,459,419,448,213,705,151,755,238,941,813,536,272,405,373,003,761,608,
916,850,762,426,733,481,370,237,905,337,830,921,086,421,065,748,391,753,255,
085,623,623,707,335,193,369,477,769,532,438,758,476,867,935,114,015,415,009,
441,249,561,121,466,508,741,894,275,624,861,327,497,026,912,898,309,541,334,
534,011,914,135,503,624,878,014,664,479,970,256,964,768,094,295,149,231,582,
988,694,994,933,673,124,612,009,268,807,487,993,634,133,213,474,737,078,682,
450,450,885,124,552,799,914,552,558,013,852,796,013,413,039,135,488,083,690,
908,727,325,267,864,211,002,681,658,438,134,674,645,923,596,599,065,010,348,
167,885,028,804,299,829,323,185,913,059,494,033,911,428,009,528,926,609,522,
714,157,503,449,979,169,018,855,629,415,909,088,585,623,845,905,914,707,055,
490,531,418,368,281,891,681,683,105,583,218,709,899,537,811,895,147,779,300,
372,895,962,831,051,346,036,101,685,101,421,863,554,496,335,549,347,202,771,
607,657,208,277,959,677,196,844,675,467,421,947,438,408,272,721,038,465,509,
027,345,352,828,674,462,464,989,206,505,667,008,056,550,574,166,441,993,564,
913,855,121,704,044,957,132,545,362,799,269,514,227,351,885,547,289,701,048,
226,053,643,947,850,064,268,723,471,885,461,450,293,403,545,063,783,404,592,
627,388,238,436,741,164,411,095,104,168,553,194,686,739,371,459,387,477,382,
416,970,979,028,689,975,227,722,666,216,632,438,609,141,399,626,042,495,232,
560,135,948,378,477,973,126,145,324,196,264,856,003,372,395,400,512,971,257,
633,005,664,801,745,608,547,194,581,135,862,520,884,657,269,959,167,660,492,
533,590,812,582,354,316,025,238,552,549,013,480,500,090,429,774,125,192,249,
255,225,151,825,137,387,011,887,534,343,394,926,264,407,311,586,035,447,331,
234,493,993,928,634,877,960,989,738,043,014,319,903,759,781,022,729,171,504,
763,095,000,057,287,048,881,893,804,926,256,141,932,850,500,049,037,154,796,
784,972,429,679,732,566,740,488,067,337,282,486,464,051,095,721,549,877,068,
022,530,785,668,486,337,660,538,935,232,980,310,286,970,151,683,893,009,422,
038,805,157,711,006,914,843,998,060,859,743,404,201,505,979,746,927,604,261,
587,862,440,869,644,219,218,983,078,986,879,574,227,036,461,303,155,957,792,
848,187,835,934,553,376,330,858,506,313,310,452,278,188,364,172,394,677,648,
629,901,784,432,889,448,081,384,216,525,598,554,236,749,015,773,414,359,385,
916,675,575,920,801,906,910,106,357,163,254,002,225,934,287,087,586,268,916,
892,781,946,271,695,716,143,159,686,645,578,704,473,185,864,693,215,662,302,
040,283,081,910,638,442,384,221,073,799,649,057,387,948,957,607,834,473,601,
328,968,977,363,479,908,700,105,254,440,319,776,410,871,078,722,375,935,153,
371,980,314,456,025,742,704,330,206,926,012,654,558,187,188,423,387,147,144,
994,404,126,403,245,264,973,137,827,285,047,675,999,341,384,312,154,616,334,
575,877,987,108,881,996,244,897,767,551,128,101,875,125,141,092,256,764,653,
309,157,349,034,825,657,744,582,710,857,873,337,172,239,215,638,753,259,186,
770,434,559,620,686,441,959,836,620,951,770,061,394,344,382,233,423,756,769,
603,855,786,197,753,461,977,631,392,224,939,396,653,093,003,723,162,325,234,
583,452,177,444,454,534,850,879,126,987,424,021,791,893,558,708,072,890,059,
210,114,657,516,502,983,108,509,317,534,575,400,073,903,138,316,841,383,073,
014,801,465,791,860,983,457,363,569,185,691,311,090,046,074,830,600,881,758,
779,824,744,578,386,080,103,332,566,755,719,163,723,127,598,509,711,741,454,
839,736,895,101,086,355,977,780,034,097,724,073,498,672,855,160,117,319,765,
970,211,733,553,039,267,625,759,620,329,334,552,845,526,930,542,146,615,178,
549,754,162,034,611,760,853,206,733,591,518,700,852,463,281,125,227,877,188,
715,949,878,175,380,004,313,679,329,996,269,050,545,051,752,401,351,939,454,
432,292,409,209,784,803,237,119,729,833,866,360,523,876,438,069,332,390,276,
551,003,961,277,586,441,719,424,400,746,543,167,011,978,529,119,927,629,498,
516,577,846,859,413,911,462,917,342,206,241,231,099,368,322,416,088,502,287,
264,175,393,630,396,009,750,558,029,538,009,642,873,982,414,160,667,764,193,
829,387,245,907,360,355,847,357,478,322,795,505,552,868,746,093,876,453,932,
650,751,926,204,532,577,639,301,448,580,072,225,651,558,217,698,439,282,153,
299,136,922,118,354,107,842,437,333,642,522,889,949,008,469,324,262,455,390,
700,727,397,842,009,974,393,080,290,075,421,015,327,967,609,405,247,404,832,
304,752,156,157,917,808,087,263,819,612,195,493,391,106,355,355,223,162,323,
956,849,625,941,634,505,818,893,085,785,779,804,626,885,000,213,461,115,556,
597,911,502,343,895,932,303,565,239,094,851,462,890,653,244,142,661,038,490,
998,777,785,253,522,822,733,061,514,288,026,813,648,526,606,671,132,119,432,
999,189,126,752,557,936,653,122,271,308,169,481,148,919,084,015,495,365,553,
320,120,774,498,850,195,616,966,769,045,794,116,263,885,238,832,812,064,177,
333,831,926,892,681,095,120,161,199,360,755,368,141,991,762,196,971,692,591,
108,418,579,517,185,543,523,834,415,122,773,708,298,643,368,825,155,583,819,
627,422,885,750,169,217,294,237,299,430,520,544,090,138,047,552,308,777,069,
977,763,255,182,579,186,936,033,955,262,697,395,800,801,479,530,962,744,774,
508,861,034,486,806,921,808,217,592,002,490,780,552,116,773,266,522,602,586,
941,960,916,929,160,407,418,642,914,557,176,287,631,250,362,826,282,555,801,
977,663,041,805,450,656,115,081,430,818,818,701,604,802,015,380,533,794,862,
860,052,621,373,753,688,247,227,631,956,390,195,031,802,889,768,282,316,154,
705,143,917,364,296,234,839,104,864,633,330,660,115,617,833,355,983,596,473,
380,395,924,295,614,170,078,657,359,216,713,404,508,343,677,338,361,016,319,
888,026,550,983,781,315,954,381,527,921,916,051,991,204,031,580,959,047,277,
429,058,738,027,180,891,437,774,928,204,945,392,754,273,134,150,991,634,401,
517,784,241,747,698,532,939,089,580,258,462,652,970,778,140,042,280,808,451,
503,991,787,217,911,746,580,803,279,084,652,738,191,345,847,925,718,084,700,
681,173,068,991,129,110,556,214,126,027,210,140,714,868,803,816,734,038,508,
500,118,611,990,605,104,887,335,757,308,024,131,610,063,057,075,821,945,257,
608,958,955,248,515,229,227,871,328,857,309,473,520,842,462,515,210,412,996,
414,243,490,229,209,503,030,112,053,301,177,103,463,203,480,392,296,493,932,
922,803,401,419,927,726,283,628,576,067,948,373,735,714,597,705,485,518,543,
888,213,568,023,050,781,742,029,226,094,971,975,066,559,992,081,493,518,699,
427,378,325,586,284,108,638,368,962,489,434,543,851,297,918,499,159,244,923,
231,065,530,535,790,431,062,850,238,302,503,886,458,963,289,109,225,870,736,
780,770,740,813,510,707,679,461,178,142,345,065,530,642,796,871,713,510,091,
797,017,669,762,775,585,660,962,056,794,590,093,278,032,957,309,319,093,425,
398,818,057,358,854,944,541,023,680,933,975,262,577,956,967,882,972,360,090,
931,432,151,466,704,374,859,791,061,151,978,038,109,271,815,594,360,780,940,
045,989,708,426,632,697,189,500,535,094,491,393,441,691,742,101,077,585,042,
108,192,838,134,873,409,090,758,933,763,229,612,045,021,538,945,550,271,753,
603,808,136,371,272,506,237,590,322,618,351,426,296,367,327,334,667,080,337,
964,209,808,232,854,340,983,445,428,541,596,372,935,045,355,237,705,796,325,
044,064,892,219,459,941,687,589,028,104,305,665,196,846,252,911,633,063,387,
580,110,236,014,506,019,467,565,108,451,220,029,505,519,948,161,189,495,462,
490,882,711,195,548,416,154,312,832,486,910,161,005,304,755,561,105,336,117,
641,321,041,711,387,784,069,362,862,807,876,597,420,552,399,317,077,584,656,
647,797,497,429,947,800,593,527,210,095,819,069,253,160,404,109,741,508,687,
456,913,060,402,115,116,763,743,588,984,158,890,557,545,265,976,473,455,219,
538,136,407,017,700,696,381,110,750,125,803,356,889,502,379,998,237,218,392,
468,044,420,950,998,542,282,784,368,142,794,096,593,748,330,410,667,014,628,
737,819,705,272,919,372,477,450,762,589,224,480,853,829,992,343,757,256,035,
396,610,124,369,704,795,188,730,586,965,045,642,109,766,048,567,231,937,672,
369,935,857,961,430,002,498,472,882,556,549,667,177,974,877,303,294,428,478,
455,586,250,201,592,290,689,001,731,408,151,341,279,943,523,957,816,883,225,
138,557,682,604,615,145,809,965,134,095,463,593,730,557,632,559,112,708,540,
286,259,531,037,215,319,969,437,278,065,322,920,158,718,991,250,963,201,744,
257,275,686,706,604,932,155,534,646,563,564,699,896,367,715,173,671,027,363,
333,197,931,756,141,347,111,992,447,009,538,965,209,646,019,795,280,552,219,
981,405,028,429,415,281,802,127,698,295,754,610,199,637,132,137,618,260,795,
697,153,087,942,045,391,642,395,703,734,837,876,407,374,961,751,733,050,228,
849,599,336,852,416,049,733,649,365,745,046,442,495,951,815,877,491,772,309,
731,387,037,810,390,330,545,277,778,447,919,285,093,782,981,203,385,450,196,
555,734,093,024,737,874,996,978,554,523,299,808,266,689,575,870,762,570,068,
661,136,553,088,122,365,038,877,751,279,320,750,376,014,111,009,156,063,640,
492,620,427,484,938,504,135,755,933,176,458,986,667,299,990,247,579,379,325,
719,994,312,632,188,027,183,191,066,778,766,613,141,121,868,802,672,973,198,
469,372,295,808,203,198,525,532,217,403,585,119,119,480,163,169,033,995,966,
639,463,195,543,782,422,099,591,492,520,977,530,041,672,174,558,301,290,621,
423,179,578,903,355,546,983,535,905,164,596,653,376,322,556,071,794,788,045,
798,889,471,814,889,829,110,733,951,549,514,907,318,365,256,102,458,592,397,
745,847,613,201,504,720,891,441,863,975,171,616,650,087,626,025,551,819,141,
148,318,270,245,172,693,357,275,846,457,386,327,315,662,541,284,448,621,257,
033,610,374,438,684,685,419,961,969,645,971,147,107,407,198,993,948,742,808,
826,424,135,332,323,198,976,496,675,094,051,242,959,988,363,486,791,124,017,
920,077,776,630,053,478,701,251,930,061,919,295,936,193,117,944,916,020,053,
056,741,105,611,420,624,351,288,694,261,631,077,934,817,537,596,636,256,863,
609,842,772,124,639,770,274,602,383,415,289,261,675,587,424,513,675,395,906,
119,551,968,469,264,345,828,229,675,498,850,692,796,320,865,673,345,826,307,
237,659,075,447,158,177,442,505,623,015,463,896,848,451,053,632,621,285,445,
957,000,369,922,400,351,552,279,792,732,970,909,421,989,634,971,333,653,956,
756,598,896,337,240,562,100,631,838,485,412,860,627,769,885,469,388,806,095,
636,167,613,762,320,852,898,694,786,858,625,412,900,937,192,180,743,958,342,
667,615,197,970,930,990,477,062,278,311,650,788,382,153,368,792,259,961,263,
558,913,062,171,437,261,051,255,970,235,877,570,368,089,805,831,053,181,310,
134,926,784,421,167,459,356,189,390,929,365,740,327,715,413,596,713,957,550,
067,752,110,467,976,533,204,410,836,489,761,806,601,774,913,156,998,463,104,
930,834,752,958,126,217,588,783,462,275,649,273,852,257,899,417,144,379,710,
323,552,302,904,721,996,370,601,553,368,693,097,394,565,484,073,766,533,270,
039,621,597,543,095,495,106,334,381,432,925,929,436,544,156,364,555,349,815,
528,088,875,495,828,126,510,934,800,728,137,614,331,006,954,127,145,932,135,
934,135,645,196,510,814,789,794,283,818,846,832,086,382,184,333,580,106,370,
289,319,001,029,357,781,348,637,617,630,306,496,669,488,121,164,456,278,036,
991,151,989,531,413,285,482,105,077,179,116,670,429,197,263,386,277,699,181,
868,318,148,386,415,273,049,117,748,649,615,733,048,170,594,829,293,161,480,
673,184,764,198,717,849,841,427,111,827,694,472,676,296,776,589,320,528,188,
517,723,563,479,728,351,174,831,976,764,480,475,399,859,285,055,746,586,102,
974,217,678,379,833,846,938,324,394,742,597,101,338,027,041,171,225,764,649,
566,581,777,159,203,489,072,719,077,480,706,051,554,406,746,498,154,526,489,
744,438,203,827,875,485,743,509,883,893,617,741,254,393,349,317,083,247,427,
818,331,433,219,734,837,325,873,002,421,143,868,650,223,675,488,254,596,243,
310,619,839,171,243,599,471,070,800,863,675,667,570,573,890,207,722,332,970,
314,772,141,247,583,061,747,266,905,643,255,074,047,292,079,600,290,832,291,
101,112,477,953,726,775,452,166,734,745,428,029,040,024,671,499,491,342,023,
056,436,517,187,712,170,780,650,576,389,849,014,042,478,795,724,352,819,697,
474,000,957,460,905,691,425,352,277,353,046,160,737,752,975,792,423,027,745,
045,131,272,426,023,781,512,308,113,432,464,224,267,799,542,928,385,410,044,
290,219,657,774,132,540,558,992,407,695,512,859,153,095,727,536,955,957,268,
028,952,089,906,474,361,048,249,938,441,056,008,174,936,476,936,722,949,403,
209,105,203,191,321,782,774,790,484,265,071,803,304,262,405,744,138,617,988,
300,959,526,266,585,783,810,860,448,970,349,150,161,922,839,961,641,275,323,
145,681,166,180,378,529,422,129,363,124,359,103,677,400,690,921,536,931,663,
778,299,633,677,028,544,409,509,717,258,773,508,038,474,422,094,007,468,155,
998,403,209,303,126,831,143,244,178,044,161,390,522,523,919,107,268,331,204,
663,073,640,106,937,178,155,046,416,994,758,445,895,877,914,557,344,881,295,
676,525,864,629,263,228,178,781,400,943,806,577,395,496,184,128,913,396,367,
259,872,806,355,859,128,418,226,566,897,848,986,450,438,924,560,914,110,258,
308,558,253,268,783,758,211,553,767,034,752,742,461,049,095,679,744,667,166,
979,648,539,618,555,209,753,400,256,394,272,408,211,468,307,894,760,976,574,
179,708,122,703,791,724,326,917,401,230,911,767,568,141,029,391,271,585,844,
982,850,226,359,437,545,999,686,816,450,889,475,798,247,764,250,549,537,684,
085,436,383,100,827,588,584,629,138,381,924,374,584,124,905,233,020,229,541,
626,241,862,194,075,504,772,602,545,399,292,153,418,797,907,558,929,045,904,
011,354,500,280,000,590,458,356,716,939,941,606,837,950,589,968,184,080,419,
175,904,479,437,395,148,490,306,588,212,329,579,535,070,154,625,733,310,805,
615,410,381,853,954,826,400,978,530,477,713,522,121,992,862,995,165,063,630,
089,199,237,208,916,291,351,418,642,077,310,755,161,659,021,019,736,102,318,
836,257,660,225,512,343,238,364,149,373,566,671,240,669,587,123,815,841,798,
472,307,398,662,275,580,610,570,915,708,662,436,821,849,201,146,704,055,648,
654,341,298,638,012,422,404,309,252,336,316,648,873,751,513,721,092,568,302,
906,674,890,357,422,210,739,815,875,977,683,717,184,118,706,965,818,388,706,
468,366,648,661,081,857,869,317,151,323,550,177,316,801,760,641,195,329,960,
283,887,120,570,364,805,814,363,857,958,793,353,205,996,350,311,761,818,620,
467,641,257,070,207,336,291,253,089,801,898,896,830,089,675,628,206,786,587,
400,791,750,588,792,649,533,404,746,285,109,604,469,328,825,789,090,368,036,
158,550,773,863,012,624,917,365,378,916,733,896,408,068,234,727,860,235,110,
047,437,543,644,297,215,564,726,764,189,491,995,333,752,544,026,018,754,928,
210,373,435,222,570,417,267,857,678,059,583,339,357,120,002,027,276,669,935,
741,791,261,968,744,403,169,152,587,091,222,058,453,291,463,134,943,059,510,
168,108,778,361,467,640,632,976,103,491,599,183,057,861,233,930,492,900,892,
450,015,888,953,569,237,596,846,993,481,510,338,877,099,698,996,099,240,932,
847,808,537,324,018,647,718,662,318,882,729,170,194,330,946,829,048,747,063,
957,088,043,814,801,001,749,547,773,556,516,437,162,549,160,459,711,179,260,
069,607,248,132,353,090,631,218,653,565,302,836,683,235,775,765,538,920,412,
769,337,637,033,053,075,298,308,520,131,472,124,494,933,944,258,285,556,074,
812,273,964,165,686,120,227,740,084,567,268,468,590,973,121,064,337,135,664,
902,050,559,144,843,036,842,733,672,034,860,324,775,164,800,840,178,207,423,
112,265,019,277,436,346,437,885,766,646,083,254,040,739,441,712,375,402,911,
352,447,981,439,424,631,186,767,000,052,033,388,522,652,332,789,318,037,612,
985,952,437,383,878,475,039,008,685,690,911,282,675,029,607,233,818,294,560,
340,116,310,529,719,001,559,010,258,980,869,635,561,810,011,816,485,073,675,
724,958,987,754,248,181,097,464,292,600,408,177,547,948,721,781,008,924,797,
930,973,596,081,129,029,162,971,728,501,917,046,242,203,166,611,626,195,816,
560,695,962,877,410,305,635,073,528,175,727,587,842,483,832,568,478,877,809,
093,332,053,524,468,511,947,254,211,494,980,433,473,502,841,131,144,290,845,
034,786,399,273,844,445,100,049,965,471,814,268,719,774,385,666,628,199,855,
848,569,954,402,084,283,830,005,782,567,456,280,343,276,575,708,208,794,968,
248,026,262,215,668,014,798,207,292,795,334,909,275,340,117,846,740,534,921,
468,723,117,761,799,379,280,005,736,315,647,755,930,861,848,204,346,148,642,
514,812,164,252,767,028,740,848,195,944,364,628,493,998,652,469,556,370,409,
234,622,857,383,035,807,530,058,874,967,004,852,852,894,418,682,596,851,377,
409,688,279,527,041,515,629,089,268,655,983,483,298,917,186,927,148,036,775,
052,828,332,773,687,951,748,224,401,658,606,614,323,613,969,017,358,842,167,
411,465,756,056,057,452,027,849,593,168,402,589,260,036,493,732,257,416,428,
586,370,505,844,579,973,608,858,881,476,546,113,702,710,162,570,521,928,261,
094,219,784,901,295,448,577,146,610,333,745,336,048,300,222,014,042,416,549,
582,526,799,346,333,059,112,675,772,396,033,553,638,487,387,434,234,168,828,
707,444,208,229,686,223,020,063,703,310,819,845,771,264,709,712,457,508,658,
877,687,116,185,375,332,035,280,207,436,212,517,866,404,635,009,944,913,236,
029,956,016,314,737,677,027,582,106,041,990,846,652,562,052,822,778,314,488,
017,984,695,497,796,401,787,976,105,532,238,141,746,939,793,713,837,272,621,
734,102,118,172,104,620,134,312,665,572,976,774,497,716,825,676,456,779,386,
032,622,401,175,918,704,018,605,409,790,280,165,788,914,398,417,582,566,874,
217,922,532,782,100,281,102,075,055,550,110,922,743,761,684,425,450,656,631,
032,585,080,518,144,988,283,345,376,100,211,839,340,491,971,215,961,448,882,
868,933,034,498,391,545,189,712,636,479,263,409,123,284,941,042,264,883,417,
689,018,431,724,489,938,144,742,713,840,259,152,766,553,271,979,820,724,525,
068,067,530,218,960,974,996,512,139,228,913,269,269,230,675,250,526,876,289,
237,019,156,531,968,797,407,243,097,028,399,394,586,250,566,533,956,348,443,
105,080,763,940,773,632,208,929,261,263,957,403,040,964,787,282,058,915,102,
300,571,375,229,809,730,574,636,010,299,638,853,817,500,818,656,370,623,686,
001,742,291,429,184,079,108,914,008,076,498,784,476,216,307,143,318,648,727,
069,580,445,851,848,451,204,479,422,825,564,328,603,790,744,426,739,197,796,
620,072,422,449,552,138,305,076,321,009,256,146,495,283,788,884,590,542,669,
158,610,691,991,123,261,304,625,427,230,619,925,441,185,158,589,845,649,610,
835,116,676,898,658,591,127,346,520,251,792,464,016,849,840,980,681,015,258,
959,908,640,741,451,811,714,285,917,034,651,306,159,719,965,387,595,737,475,
442,517,833,458,538,764,251,810,687,365,623,429,449,778,981,949,772,657,500,
694,294,280,137,169,164,073,884,369,131,051,689,613,235,468,028,201,877,225,
542,622,900,096,813,862,477,651,538,355,565,590,102,539,134,365,946,505,743,
489,939,686,727,272,803,374,275,081,599,499,576,480,147,080,323,514,826,747,
981,928,704,262,479,861,088,516,041,778,997,622,001,510,888,065,457,309,970,
283,420,989,335,081,932,204,720,703,058,391,686,467,116,048,318,275,569,039,
986,674,641,516,641,022,675,335,591,385,701,818,162,027,225,677,038,666,396,
080,170,186,473,027,547,863,638,930,776,677,175,868,740,917,695,474,514,036,
115,825,737,083,620,055,990,803,182,021,045,460,131,575,085,586,082,262,636,
482,570,780,408,143,855,481,722,410,698,371,018,216,254,906,099,914,916,862,
278,147,438,965,669,251,284,398,143,172,648,859,297,318,134,818,189,218,650,
818,054,972,838,064,906,433,764,226,547,118,043,977,577,868,980,468,594,776,
535,249,563,822,564,268,686,309,813,784,444,458,056,248,420,255,509,063,386,
678,427,189,773,642,217,390,317,087,667,034,157,370,940,662,834,766,096,951,
503,350,207,661,592,675,906,932,328,050,156,508,455,235,963,103,410,589,408,
791,540,782,233,905,228,568,064,046,830,042,415,618,067,418,856,548,460,291,
785,631,181,305,524,851,310,562,075,024,258,082,102,350,645,343,314,571,712,
570,026,973,047,842,277,802,306,740,289,847,681,909,455,487,250,947,645,173,
238,760,697,029,560,865,630,930,820,822,742,481,259,775,758,860,943,433,492,
044,486,984,024,446,508,994,388,105,287,661,603,862,340,332,324,484,541,022,
758,581,393,265,247,180,826,222,186,795,763,803,399,927,069,868,583,016,172,
808,349,410,699,326,062,466,247,553,481,802,518,251,370,214,189,430,949,456,
969,002,822,386,281,573,444,567,791,274,812,997,500,077,742,154,339,567,608,
300,735,889,321,566,331,650,581,571,761,472,441,269,342,028,170,256,552,572,
523,044,359,663,724,224,449,241,619,437,054,218,496,151,376,161,729,888,780,
001,731,620,092,893,516,646,782,516,090,347,481,660,161,121,583,403,483,371,
261,333,824,655,165,017,654,834,330,525,353,183,315,182,823,715,024,652,445,
219,753,113,728,958,849,875,677,732,919,786,545,074,208,540,718,132,651,958,
373,255,971,346,687,775,115,261,226,608,060,918,380,472,798,300,193,150,185,
360,538,476,782,009,010,253,244,190,522,860,664,855,392,354,960,349,430,556,
340,872,910,185,094,542,506,176,000,945,517,481,320,733,084,934,783,094,289,
810,842,022,457,908,310,616,161,450,561,854,718,184,659,500,478,012,734,713,
373,616,438,491,559,782,993,234,994,943,071,888,127,197,280,447,147,130,119,
183,529,886,800,450,111,143,803,277,561,374,872,929,340,651,339,165,382,176,
011,112,388,912,754,570,832,252,604,833,519,812,896,944,465,808,884,220,634,
358,668,710,046,587,992,741,053,810,499,119,860,347,209,155,267,081,691,330,
154,155,753,713,822,670,459,076,991,016,705,408,976,923,669,635,560,797,644,
943,597,283,531,649,062,809,516,773,724,541,144,975,703,271,312,575,856,928,
937,959,853,426,338,726,606,246,524,297,775,620,285,678,631,611,751,664,365,
155,787,661,298,426,201,189,856,677,944,141,206,204,496,343,458,841,596,214,
480,187,855,698,955,139,029,587,298,194,014,036,469,103,581,214,256,985,350,
197,102,652,796,745,199,923,062,238,943,081,028,630,362,206,857,776,151,288,
628,546,001,617,664,600,602,660,086,256,162,185,455,239,688,304,197,054,318,
765,806,240,785,415,648,842,992,781,998,042,001,688,993,591,047,133,611,510,
416,315,236,265,990,811,584,067,751,629,853,491,392,755,590,746,134,931,007,
220,443,366,652,153,871,462,314,927,810,047,846,196,346,865,866,791,846,111,
575,801,327,173,312,498,836,009,491,213,846,614,356,318,898,643,297,526,424,
257,115,458,381,423,195,997,311,307,628,268,901,602,624,473,841,861,802,763,
837,110,353,054,600,158,708,263,809,104,656,364,622,626,373,458,718,796,670,
509,867,208,822,974,364,521,801,634,317,057,580,247,940,990,047,298,409,582,
072,830,746,851,178,274,471,082,626,160,304,069,754,197,017,895,945,565,892,
384,498,754,998,125,283,633,684,645,869,856,913,630,627,523,298,658,113,542,
895,342,334,107,636,260,276,682,950,983,566,759,763,346,120,712,593,395,968,
535,033,703,803,940,564,858,026,144,938,707,278,867,761,974,814,837,466,264,
741,218,670,794,005,983,398,450,658,486,186,411,285,819,613,638,050,104,458,
861,372,819,895,486,411,686,886,012,468,681,788,462,940,051,547,920,362,162,
951,470,038,363,257,392,157,512,938,129,171,073,657,853,337,661,763,651,329,
512,329,505,633,320,095,819,287,957,774,912,499,055,379,617,717,607,517,084,
794,706,623,532,797,430,792,490,789,081,181,655,920,222,689,190,102,082,968,
300,970,045,187,906,395,717,190,307,319,047,184,333,722,388,996,162,872,941,
165,725,627,923,250,074,127,087,860,023,375,900,722,559,814,548,435,703,740,
870,448,960,943,897,118,467,454,537,135,654,840,339,476,895,011,756,157,036,
407,391,880,217,317,207,117,765,753,469,507,227,629,074,376,357,345,019,586,
845,747,964,081,788,144,566,208,387,600,663,763,411,539,234,124,778,730,375,
530,525,939,213,311,801,581,771,862,159,120,187,582,768,899,151,364,968,197,
412,899,199,384,225,751,401,985,715,640,010,264,647,882,004,732,542,779,242,
646,284,148,776,539,564,102,541,423,225,345,630,069,721,434,363,246,967,082,
303,557,250,399,841,407,175,878,620,012,680,633,987,634,992,639,342,409,756,
370,347,841,761,735,792,403,795,696,606,923,684,494,864,227,384,474,429,444,
641,384,706,971,544,217,888,950,017,242,321,928,991,380,766,824,516,642,945,
434,816,428,068,452,363,332,706,292,890,390,621,382,210,365,193,952,839,006,
532,164,688,860,689,508,980,573,882,713,523,589,331,082,500,121,813,365,489,
646,542,521,990,956,172,174,809,851,290,346,246,294,112,487,944,357,764,080,
568,804,911,940,877,810,642,454,892,028,728,368,939,135,993,651,241,937,265,
204,780,725,787,696,469,185,900,763,952,088,329,774,486,600,010,821,477,627,
645,045,740,218,729,215,016,232,463,416,484,862,094,397,636,145,500,644,335,
332,138,704,626,452,344,657,971,454,363,285,507,868,317,596,551,551,409,840,
433,232,774,165,504,363,507,059,539,846,646,887,407,449,967,412,008,135,722,
265,599,815,555,409,701,780,927,949,401,258,483,477,427,942,741,757,504,115,
895,721,025,027,830,199,743,511,315,681,344,657,229,055,567,792,497,535,253,
904,907,378,534,259,325,139,149,593,926,961,849,040,035,699,657,025,211,560,
162,567,142,225,950,126,456,076,668,714,962,372,934,059,165,779,398,387,836,
792,089,864,751,444,154,380,510,591,403,811,316,498,998,202,397,685,654,102,
054,237,556,991,127,690,522,014,750,838,522,394,442,065,102,454,454,583,808,
214,743,964,941,157,751,456,802,785,831,408,190,150,755,307,111,536,846,089,
510,564,994,353,269,436,336,985,371,312,769,414,629,845,001,656,359,096,814,
164,663,070,476,053,956,878,041,435,852,625,552,493,064,611,595,299,615,389,
218,547,039,794,815,922,900,675,715,505,494,278,162,758,990,094,917,676,137,
162,269,946,960,440,953,534,471,556,726,792,162,170,174,326,644,203,532,237,
413,002,304,279,869,974,846,027,066,697,585,658,589,837,151,335,951,762,132,
194,523,630,109,200,227,866,211,857,468,592,316,141,305,855,845,830,764,795,
406,258,172,312,986,945,599,001,067,432,509,285,521,115,496,765,373,088,541,
569,143,400,427,010,411,841,307,954,975,708,521,682,998,843,872,926,047,936,
437,605,470,175,634,709,854,783,364,394,398,915,114,557,038,175,628,107,006,
694,447,973,211,769,334,172,961,559,442,525,178,803,770,576,760,846,765,997,
443,576,291,590,415,826,372,994,692,226,035,358,887,403,707,827,312,838,099,
983,260,162,117,760,855,497,534,633,951,135,608,464,641,659,694,184,816,552,
020,468,615,201,200,498,493,934,269,013,540,158,859,991,104,902,529,848,895,
919,688,534,243,066,493,449,050,256,871,168,525,290,916,933,658,959,186,426,
224,805,617,611,165,848,252,364,479,887,338,893,877,936,800,268,607,139,754,
423,670,709,921,846,562,516,034,092,786,351,369,692,743,947,100,412,499,836,
301,611,530,829,405,748,251,246,541,096,260,245,922,590,504,290,989,600,019,
713,924,489,328,975,982,088,172,715,231,753,756,298,782,084,705,357,363,539,
383,082,243,316,821,138,882,580,547,533,888,703,324,596,424,417,150,938,036,
500,751,617,187,025,557,660,379,472,059,705,347,860,952,216,475,166,920,186,
348,375,468,962,234,882,679,156,382,091,618,495,102,256,670,717,629,955,364,
217,366,943,626,557,013,676,337,418,836,188,526,522,327,329,292,587,250,164,
065,036,135,232,444,384,028,731,450,578,054,993,305,313,000,857,925,603,582,
004,764,347,485,161,976,494,956,693,471,116,803,081,090,807,380,243,572,931,
562,050,340,026,475,469,891,310,760,441,802,264,782,846,593,112,978,689,476,
595,179,530,389,452,408,128,363,357,825,637,003,781,992,578,552,550,646,120,
052,963,746,573,854,821,888,542,873,139,518,193,450,990,690,522,183,930,990,
975,226,046,556,908,026,581,225,515,415,018,938,834,972,455,123,875,490,557,
880,445,473,758,843,431,919,621,191,376,185,638,580,392,906,589,287,327,524,
173,880,473,198,571,835,240,343,469,490,510,458,415,368,094,032,390,112,785,
374,944,732,367,813,700,789,914,227,964,695,139,502,838,338,967,800,774,266,
565,475,489,001,036,008,311,025,660,182,435,393,707,260,235,388,299,529,349,
543,350,096,568,061,046,865,224,837,441,668,032,474,285,893,539,035,393,373,
512,884,736,940,827,424,639,606,623,149,515,491,156,218,317,309,989,490,253,
375,265,452,076,745,858,688,202,684,119,783,102,599,121,037,818,133,825,453,
940,720,858,226,574,534,336,848,700,113,660,729,125,642,656,039,014,847,049,
901,551,480,770,762,528,771,996,808,225,653,936,261,507,945,753,509,118,010,
970,116,000,718,587,885,733,533,224,077,794,850,906,453,158,331,834,437,641,
249,413,917,844,625,435,869,432,119,980,777,376,499,436,936,226,739,075,024,
526,913,858,936,081,127,424,758,961,530,983,526,054,736,466,890,776,146,295,
558,909,880,301,150,597,886,584,543,061,957,316,378,473,444,564,805,872,949,
700,673,159,595,135,888,248,947,652,437,409,842,549,295,023,979,852,676,911,
981,772,514,257,033,718,724,538,458,493,575,679,564,918,043,229,508,998,566,
420,036,334,056,145,004,128,527,335,280,941,673,664,793,345,488,817,204,885,
198,142,372,840,328,688,062,397,756,063,640,701,928,673,044,839,618,177,718,
465,932,491,869,832,715,348,238,894,527,491,725,736,780,166,950,999,837,808,
748,471,292,600,505,937,406,308,553,440,519,779,433,267,583,835,873,307,642,
409,776,525,165,874,186,824,668,984,728,043,040,557,770,669,220,992,909,137,
564,956,828,576,899,992,134,426,683,902,273,282,128,022,114,679,838,065,387,
752,141,243,828,687,999,282,137,670,473,712,706,870,264,264,112,539,908,494,
442,551,914,465,189,321,299,382,363,711,668,853,316,115,244,775,839,339,407,
708,428,562,980,346,414,058,312,377,767,242,841,125,359,539,847,375,265,515,
250,434,840,407,687,572,358,751,755,744,878,887,738,432,204,767,787,915,482,
250,790,913,032,513,615,676,462,815,758,514,900,367,558,591,853,010,472,437,
058,007,540,366,374,644,395,794,159,536,666,547,789,868,043,248,558,682,623,
148,947,336,902,708,310,511,674,127,725,478,885,667,847,125,152,499,829,273,
691,264,434,610,509,164,380,568,035,347,957,728,119,831,545,362,113,199,947,
267,038,321,536,249,977,992,970,441,317,758,842,115,105,027,210,306,905,038,
840,041,064,545,151,332,016,338,693,955,444,648,836,669,873,748,237,038,915,
073,989,609,831,573,240,063,817,309,145,763,763,366,341,213,733,088,933,703,
641,822,132,459,260,255,205,579,879,898,264,595,101,827,664,211,553,006,612,
052,294,800,943,946,518,188,707,276,526,358,496,819,051,987,096,610,858,066,
862,817,664,474,205,138,708,915,215,603,231,849,957,321,493,828,469,620,929,
402,623,380,597,583,816,883,864,338,102,120,769,536,689,072,233,677,937,740,
439,528,606,394,871,397,815,961,153,102,792,356,574,352,191,203,324,315,090,
493,839,401,897,008,974,702,410,910,781,402,977,102,644,796,852,350,431,192,
423,889,880,201,151,243,613,965,885,917,251,348,013,419,757,949,600,584,336,
165,047,345,416,545,011,592,731,726,196,985,313,346,544,437,538,573,550,018,
844,825,418,505,742,918,784,173,187,837,936,237,240,343,254,441,956,599,050,
863,830,293,238,829,172,887,156,253,042,050,377,631,100,196,929,591,552,714,
277,643,658,208,251,174,434,549,181,247,268,684,358,071,332,661,670,596,235,
329,430,770,315,775,897,470,849,587,795,704,067,785,320,309,964,256,306,064,
694,748,674,199,701,781,547,092,460,889,469,216,592,862,539,226,099,900,066,
180,315,896,842,219,105,962,487,299,992,396,414,422,526,684,985,892,617,506,
404,502,277,116,768,875,681,573,170,644,917,313,759,175,613,749,249,477,795,
444,362,534,187,352,316,335,464,836,086,849,810,162,021,323,421,625,158,005,
388,388,682,404,805,388,746,879,986,015,417,185,171,452,009,259,587,493,308,
376,782,206,252,487,549,124,898,409,413,092,913,216,656,274,752,286,946,971,
349,392,955,412,762,984,707,173,043,238,350,066,622,758,819,148,917,333,874,
241,243,433,612,969,512,876,727,552,699,381,233,366,732,804,956,578,084,413,
336,781,254,041,220,550,005,633,276,932,037,769,060,688,198,489,401,778,267,
936,275,750,884,128,780,875,701,478,957,890,539,880,721,901,820,629,980,514,
253,675,497,462,154,929,405,794,321,094,766,251,923,710,055,040,686,608,160,
824,519,726,972,646,519,695,965,051,880,640,697,362,750,178,002,866,358,758,
369,628,682,877,911,835,104,327,776,575,975,199,730,641,827,648,018,327,354,
714,437,664,560,691,169,706,605,298,246,347,331,446,364,288,450,526,158,842,
503,146,990,220,491,973,368,574,385,182,031,451,432,602,898,905,615,158,002,
818,117,156,609,081,853,048,269,839,290,523,738,604,042,788,786,538,115,585,
394,621,723,662,729,262,196,913,597,111,305,915,781,812,745,591,513,043,692,
250,389,125,392,234,711,059,350,840,559,440,859,357,777,045,952,502,063,241,
086,161,987,693,942,823,234,659,184,109,384,286,508,833,826,217,066,778,063,
493,715,381,873,072,082,039,455,169,731,731,910,867,534,079,579,222,237,972,
407,667,597,536,006,513,521,169,998,624,170,853,507,922,104,786,424,644,868,
243,983,191,811,743,094,869,274,828,893,531,634,864,096,778,066,968,919,976,
133,794,295,201,212,036,679,210,597,325,733,840,493,680,772,245,142,163,530,
428,051,012,033,299,710,783,284,868,973,986,873,492,291,153,070,127,587,002,
550,009,897,881,331,805,772,219,118,126,671,939,470,598,626,855,366,221,056,
393,462,404,819,683,259,007,557,314,651,735,532,012,905,413,986,906,800,665,
181,528,460,880,744,696,792,040,522,539,302,288,376,706,092,645,445,799,711,
568,628,161,742,207,581,970,345,003,450,882,257,634,987,259,055,199,855,640,
435,486,449,382,041,068,918,355,487,200,939,602,181,235,346,762,381,489,931,
252,338,513,818,720,504,725,500,661,276,962,147,474,118,576,289,985,002,647,
453,792,827,335,791,316,084,826,426,245,821,076,549,194,754,832,157,162,445,
308,845,209,155,049,464,393,255,365,078,941,500,351,783,078,821,500,804,809,
126,025,615,219,712,466,470,930,111,158,600,108,714,157,029,959,759,097,824,
328,996,683,348,344,313,997,930,454,570,855,356,540,414,463,619,654,723,303,
501,214,553,849,028,456,246,574,366,479,652,246,714,826,167,699,096,386,288,
607,955,635,339,869,085,192,189,114,191,685,563,025,664,265,917,207,255,011,
346,474,201,113,692,909,091,650,356,659,659,400,312,995,740,829,034,141,075,
890,968,271,181,872,719,376,949,442,676,147,732,010,020,044,846,264,785,318,
783,653,437,103,557,718,003,085,159,782,303,614,302,449,339,863,456,595,101,
192,146,277,027,803,587,258,856,450,245,523,848,994,013,359,688,630,531,249,
807,168,176,641,170,162,019,275,331,162,170,345,663,065,271,326,791,132,931,
423,526,869,387,533,805,339,450,101,136,400,938,609,085,611,795,851,678,868,
873,855,834,364,080,242,860,770,530,975,243,241,953,747,003,357,475,959,488,
692,020,427,488,254,835,306,292,762,580,565,214,996,239,937,929,586,940,155,
599,692,924,188,893,293,073,524,893,017,978,015,081,072,114,946,582,142,785,
928,555,800,195,177,258,579,531,972,891,718,229,014,654,158,522,565,458,864,
443,962,177,579,981,309,257,120,632,992,751,747,753,206,418,096,230,352,162,
857,190,395,259,578,855,600,548,673,500,042,655,452,409,571,243,113,975,251,
941,060,706,097,649,894,756,822,420,319,461,556,703,020,663,134,063,884,089,
064,903,108,745,604,412,947,092,794,136,629,355,796,980,981,801,259,522,403,
396,243,829,780,846,964,269,242,883,819,499,608,909,028,222,556,037,625,673,
149,200,429,246,264,122,735,392,313,967,116,850,418,149,830,860,511,237,789,
640,048,108,563,180,229,800,962,078,416,163,110,175,348,906,017,294,002,051,
543,565,505,042,723,225,528,366,795,368,865,565,137,108,679,800,379,737,621,
068,743,048,712,679,450,094,863,416,887,837,252,939,676,845,322,512,861,290,
592,884,177,586,955,252,985,386,000,423,056,333,037,324,199,968,865,989,300,
904,758,204,281,339,393,065,517,473,200,362,931,195,050,522,728,708,178,516,
702,205,443,152,246,124,466,182,296,963,466,609,481,337,259,008,716,015,820,
026,185,227,203,482,665,901,079,104,758,700,889,704,248,440,870,215,568,123,
916,948,989,191,952,029,907,763,352,766,703,575,222,087,922,007,278,601,578,
814,941,832,216,550,983,807,000,600,185,466,089,737,900,176,539,339,019,708,
697,938,991,239,935,319,788,453,608,617,954,432,278,472,090,966,499,820,255,
108,574,051,960,222,131,911,639,058,205,875,079,607,719,337,390,394,032,449,
357,530,050,729,321,162,209,189,901,491,853,202,319,664,488,469,031,884,286,
396,318,577,682,302,726,517,305,124,957,006,306,552,724,901,931,771,320,834,
077,706,090,346,877,503,782,799,400,997,089,014,296,316,221,599,107,855,878,
067,555,721,323,117,552,425,682,798,692,648,693,318,636,641,046,442,893,611,
891,918,008,582,771,327,916,618,977,889,237,859,130,041,652,150,920,803,564,
432,847,576,482,275,697,233,878,703,302,778,639,152,946,145,639,789,892,467,
403,955,488,237,692,337,011,376,078,620,901,364,885,595,903,730,050,088,010,
943,648,799,108,176,451,048,527,634,536,120,069,643,854,187,181,883,510,826,
219,208,594,418,847,224,433,932,893,199,425,223,533,262,080,678,787,530,183,
748,981,448,337,218,876,268,188,341,436,343,506,238,702,758,732,586,358,609,
711,082,995,175,971,364,788,124,686,373,712,923,026,946,872,275,413,985,573,
830,876,575,685,564,138,131,246,365,391,361,389,096,312,540,502,027,008,302,
620,817,645,715,613,311,386,462,615,342,991,018,600,189,653,656,788,777,898,
484,311,758,134,735,685,783,290,952,510,903,170,793,807,087,475,290,504,880,
527,258,626,873,967,732,747,526,064,429,124,033,735,774,751,093,899,414,589,
228,365,511,878,561,932,252,136,342,852,041,076,900,531,106,897,003,631,998,
905,905,741,460,446,556,506,349,505,576,688,206,749,865,051,082,270,868,910,
140,064,188,522,597,792,446,631,659,310,471,592,093,017,993,792,078,192,878,
379,416,088,081,790,876,540,436,956,513,401,330,116,293,422,389,365,801,965,
782,986,405,466,312,544,204,562,150,909,645,518,651,802,511,708,970,056,125,
023,571,780,690,289,594,906,509,840,865,825,729,464,786,117,083,169,541,796,
644,859,280,027,134,764,168,343,217,015,934,992,221,490,071,816,255,146,013,
966,350,670,103,260,710,922,938,322,370,616,156,977,610,215,871,834,428,950,
304,171,536,968,450,601,066,624,944,681,170,814,523,364,761,069,831,376,577,
917,821,773,481,728,906,849,913,486,818,142,846,044,728,695,064,302,675,330,
894,837,524,623,494,580,673,515,488,436,566,366,914,971,786,219,530,246,580,
592,505,450,015,277,791,339,010,875,841,162,106,456,022,397,228,316,024,559,
593,406,714,669,696,456,258,836,456,768,647,570,867,737,572,806,885,659,384,
299,186,021,462,607,861,796,398,953,808,447,084,488,630,528,676,820,121,980,
278,930,137,791,560,445,836,426,663,716,231,140,328,470,662,786,346,709,549,
447,930,173,120,636,999,295,012,130,501,368,703,022,660,563,412,541,122,450,
206,762,263,463,766,193,495,829,305,207,092,795,881,265,761,819,885,638,061,
567,095,032,415,608,073,008,194,070,932,669,319,022,652,991,852,665,901,269,
587,620,456,436,886,190,949,896,686,666,315,156,598,686,179,509,424,246,750,
770,235,037,193,578,457,405,827,583,198,706,744,747,003,647,954,622,860,350,
333,653,055,118,688,927,877,122,397,987,411,749,514,068,270,523,583,367,264,
627,001,807,006,039,038,941,423,732,197,637,533,229,306,408,096,894,724,911,
724,759,638,246,929,625,414,894,484,604,085,738,873,191,139,386,343,445,436,
895,355,128,091,822,624,413,683,795,171,142,184,075,615,635,233,886,745,352,
420,482,430,869,888,880,789,932,827,605,423,027,288,431,089,135,238,681,078,
207,730,039,838,786,899,872,585,415,348,492,307,019,812,567,618,198,744,353,
350,081,507,462,573,805,745,833,760,878,594,174,069,016,795,293,308,591,556,
312,901,591,581,189,949,813,539,860,843,224,360,104,072,510,640,465,237,881,
576,996,620,068,837,670,791,250,583,471,366,235,230,782,069,034,836,483,891,
319,291,677,288,671,916,961,359,073,899,514,524,711,860,309,745,884,193,367,
348,399,738,108,570,391,795,757,085,928,407,477,987,489,220,762,664,574,308,
313,577,654,911,142,328,356,887,028,766,970,427,828,567,718,041,332,327,135,
458,493,594,652,198,412,452,156,882,284,048,882,541,620,367,961,991,947,105,
293,379,083,890,190,478,597,721,835,518,240,508,044,950,243,499,056,831,730,
269,434,227,575,529,613,615,548,668,523,766,001,425,006,440,299,575,303,827,
761,469,085,801,018,055,273,668,407,843,050,696,794,784,618,114,733,954,315,
268,474,477,030,541,638,280,342,399,329,930,460,442,216,183,782,853,974,013,
269,739,294,638,334,960,316,377,858,087,930,253,716,222,716,633,935,162,021,
998,795,643,321,383,241,880,064,373,777,540,288,798,365,322,056,504,247,304,
468,892,291,258,914,965,416,053,123,483,474,538,966,888,224,441,206,478,343,
538,401,007,417,586,171,399,507,258,261,704,575,759,618,911,363,111,327,799,
636,153,860,893,210,878,755,846,064,596,181,559,590,996,893,420,937,440,905,
498,131,868,875,643,680,151,494,897,469,180,039,044,700,694,499,662,203,336,
052,495,231,396,508,583,492,526,710,796,317,830,579,985,860,618,431,109,768,
082,964,758,296,368,205,947,229,858,601,385,182,250,894,880,887,428,370,460,
395,146,486,224,488,828,324,076,865,180,882,717,801,574,559,035,196,246,649,
760,934,338,873,211,256,263,923,971,178,700,074,987,787,953,577,731,744,740,
041,053,043,392,435,120,984,168,992,344,683,973,537,924,831,464,444,158,488,
112,338,271,860,104,737,205,407,937,858,299,372,151,704,432,380,106,698,427,
545,544,444,591,086,517,604,086,056,209,411,036,983,474,587,280,829,425,886,
593,115,755,113,118,242,964,047,253,933,605,077,431,847,896,809,036,195,113,
656,812,989,832,289,141,815,461,248,722,456,043,841,223,546,230,379,421,056,
898,124,909,842,023,680,791,587,169,482,767,551,577,537,162,504,745,212,929,
733,529,748,971,779,664,556,995,849,743,462,250,312,290,675,131,792,300,063,
989,991,403,665,440,994,630,370,578,352,657,519,921,327,364,884,580,872,539,
239,091,655,054,540,427,081,590,805,091,038,575,205,396,418,373,179,314,818,
003,974,246,116,217,314,265,986,230,684,477,490,095,818,578,231,956,678,579,
961,017,958,080,610,685,661,153,933,060,850,122,197,853,081,707,772,302,427,
481,998,721,709,072,569,186,872,044,453,560,097,644,207,582,252,900,760,499,
547,118,164,330,622,201,922,792,981,390,641,265,060,880,139,748,414,664,099,
514,994,348,872,507,088,412,644,484,718,452,664,471,442,602,122,975,734,901,
430,974,973,596,788,560,772,675,897,259,909,407,308,836,559,260,962,843,779,
050,694,336,711,634,425,979,532,515,672,658,206,630,115,859,935,775,919,779,
371,658,379,881,729,578,736,540,686,711,660,970,579,479,121,461,613,389,384,
475,582,799,096,419,116,836,878,666,552,734,279,222,653,168,281,272,793,202,
730,571,956,805,568,045,857,414,408,931,593,814,428,614,126,026,931,879,654,
080,554,892,349,151,988,991,056,014,121,930,512,122,960,421,856,309,492,998,
078,966,556,203,276,389,335,201,959,845,725,419,730,971,737,265,817,571,383,
659,819,767,321,771,789,772,387,258,793,961,101,475,556,694,919,164,636,548,
698,988,826,926,145,565,442,892,801,986,259,063,390,190,585,060,162,844,768,
489,231,044,398,575,003,739,064,732,232,766,147,744,195,809,610,806,725,748,
998,866,221,998,656,687,966,738,455,665,712,172,307,925,330,176,872,277,095,
491,067,702,348,944,594,671,554,492,974,631,459,134,397,503,128,487,991,419,
843,767,121,210,800,351,459,882,157,505,955,866,496,244,782,001,932,752,941,
058,060,119,380,541,160,438,156,663,159,948,975,651,511,614,885,085,289,707,
439,571,117,873,763,021,639,630,621,294,885,409,706,282,200,452,411,695,767,
666,164,059,523,713,640,183,484,354,468,087,141,656,343,282,777,730,710,898,
206,358,688,370,323,849,403,086,444,236,155,143,687,885,081,079,444,103,761,
055,946,725,064,754,338,253,938,496,441,013,839,904,357,008,153,161,722,914,
982,693,175,354,643,303,309,881,867,576,287,154,391,904,318,320,209,873,732,
834,152,296,035,567,538,367,303,198,903,701,805,932,446,641,947,759,168,027,
709,538,638,865,002,820,139,539,627,677,733,827,203,579,544,074,807,086,501,
600,965,109,282,285,394,139,965,737,411,139,157,011,693,944,763,409,854,168,
583,892,408,045,142,092,563,031,325,380,803,468,957,136,925,786,306,789,775,
971,593,502,576,048,994,752,111,334,125,063,191,133,685,289,583,206,136,236,
468,901,322,782,136,155,377,025,454,692,206,282,588,978,426,097,643,431,133,
523,071,838,847,944,883,085,350,049,346,889,258,245,959,982,620,033,584,681,
027,036,213,278,986,241,609,453,975,029,811,418,636,974,022,867,107,698,110,
532,295,501,126,216,298,108,339,965,562,276,326,239,188,318,740,730,486,894,
295,335,979,012,929,590,017,632,171,865,585,114,548,355,675,473,831,709,972,
986,569,762,746,467,780,797,155,952,621,893,452,172,568,410,008,336,399,723,
209,803,906,547,913,746,651,609,293,856,237,935,073,652,614,338,511,490,153,
145,562,491,304,369,220,715,526,688,235,834,417,061,597,788,927,965,756,437,
988,641,206,692,020,472,012,435,175,093,897,207,913,456,555,772,783,447,536,
903,801,573,384,193,540,403,739,933,316,669,906,148,433,821,721,848,623,530,
220,986,313,880,416,302,833,738,630,288,240,819,993,899,833,562,121,777,567,
745,443,689,205,658,410,508,798,042,815,113,902,022,617,791,354,936,123,175,
906,321,752,654,543,936,311,607,897,992,874,720,796,325,002,759,445,659,222,
967,110,097,782,845,965,891,599,780,643,314,294,424,415,143,942,024,416,678,
933,617,576,303,453,582,695,501,609,124,909,170,609,095,897,914,061,309,608,
269,566,517,942,594,175,350,680,030,190,584,083,320,703,675,634,889,132,278,
690,073,182,511,600,877,407,128,627,541,562,106,175,807,069,347,405,138,855,
641,816,973,397,497,565,212,012,331,632,195,772,234,355,756,873,061,538,518,
867,193,023,605,196,632,224,116,969,575,063,750,280,474,411,366,081,720,218,
954,205,120,469,190,836,845,484,382,541,951,795,900,870,137,841,001,942,367,
596,506,632,005,388,413,655,483,537,426,097,485,962,768,878,478,506,685,165,
190,786,295,253,060,709,750,847,986,760,064,790,471,461,078,261,691,082,483,
206,507,676,931,688,471,970,138,135,526,800,706,070,907,842,051,334,650,251,
494,819,506,032,351,266,042,464,120,161,974,748,162,837,529,413,110,739,948,
679,706,601,341,685,765,988,110,790,066,419,194,681,827,765,922,651,752,047,
643,700,390,793,118,402,080,687,853,428,588,396,899,455,541,685,313,742,774,
437,247,472,856,533,326,736,659,292,565,830,292,853,713,123,375,345,008,178,
920,484,112,824,460,276,990,482,480,450,191,880,933,481,094,704,081,904,411,
591,836,412,935,730,795,869,078,720,248,346,055,179,177,519,713,934,525,684,
065,039,311,168,904,697,572,667,502,789,946,861,854,987,773,220,554,704,620,
643,951,168,673,528,233,933,171,914,006,652,200,172,041,698,661,531,928,578,
826,731,504,948,626,524,609,759,024,865,659,029,254,391,649,333,898,537,037,
531,286,586,982,976,023,719,941,886,385,484,895,266,213,823,393,154,608,198,
955,728,082,327,463,266,257,383,455,471,725,274,087,934,122,931,788,813,184,
565,156,238,312,812,424,351,117,227,400,242,836,359,253,748,143,704,194,861,
035,277,295,489,681,900,433,526,012,545,240,239,725,472,249,088,294,894,602,
451,352,327,992,050,024,117,939,620,314,996,034,801,041,050,474,015,710,093,
053,889,177,650,596,902,240,198,444,199,927,406,776,232,432,500,933,938,140,
130,667,471,278,419,117,004,591,139,350,412,586,568,200,333,704,641,768,036,
926,860,753,889,524,379,623,280,069,549,286,442,762,888,356,680,392,261,143,
598,935,702,457,401,948,082,708,993,271,783,410,354,938,515,101,054,978,332,
744,098,169,170,587,871,327,368,976,285,764,497,012,762,964,773,201,332,546,
453,471,791,131,061,207,863,964,648,611,665,296,680,486,063,764,391,420,687,
333,201,911,572,714,984,013,620,036,384,770,291,956,740,011,015,312,543,879,
161,534,493,580,362,799,755,965,095,559,104,676,018,331,261,027,966,459,002,
197,411,766,916,825,921,815,254,431,523,908,833,376,131,250,218,312,244,751,
958,902,185,374,528,334,366,238,041,915,530,517,588,839,471,821,566,422,590,
053,108,112,444,191,378,550,473,936,184,911,034,610,750,735,805,807,791,114,
435,286,800,178,810,354,128,560,204,076,683,797,254,576,593,663,329,241,889,
840,788,790,761,128,479,755,303,064,020,689,121,224,034,542,023,962,387,988,
067,839,063,526,139,363,943,074,343,146,279,321,105,623,513,009,155,453,305,
707,069,492,571,342,301,779,167,398,154,934,915,835,563,946,154,539,615,798,
729,979,347,851,730,255,711,156,232,161,582,390,469,841,085,366,130,733,430,
223,545,311,590,948,862,090,778,874,865,806,092,512,811,186,412,094,249,397,
141,456,635,797,945,686,433,082,955,038,033,475,039,089,291,511,415,044,024,
354,452,724,370,558,522,498,158,902,608,832,390,742,982,951,234,341,996,858,
346,320,486,780,594,460,767,810,125,357,168,327,160,001,048,066,002,505,092,
580,848,967,052,409,271,777,989,640,605,383,183,646,050,410,689,110,414,597,
532,250,646,067,212,959,888,177,247,035,938,962,608,693,724,211,156,206,858,
104,146,136,856,831,666,043,703,492,568,616,819,497,305,646,235,507,538,913,
727,970,523,486,254,108,969,242,352,311,289,906,273,416,160,695,831,228,634,
204,045,557,116,290,546,244,334,940,155,581,768,888,652,816,882,611,394,022,
907,656,126,474,261,388,701,365,208,691,527,298,959,875,905,979,440,181,737,
068,650,795,985,714,652,613,427,992,309,926,060,253,911,419,085,607,977,828,
760,505,267,343,809,073,591,302,782,772,606,526,214,236,489,895,474,399,592,
840,985,892,824,058,141,307,525,168,666,447,560,038,298,566,168,889,945,539,
241,349,259,163,487,351,362,274,740,163,947,445,885,064,852,489,446,162,504,
548,180,563,292,515,057,342,639,026,654,895,695,060,921,879,076,696,889,873,
538,964,850,466,620,702,314,442,332,878,587,930,027,924,743,239,364,755,193,
044,484,124,276,594,244,248,355,954,069,151,723,926,322,296,598,604,077,740,
282,233,196,444,047,799,722,190,651,105,639,576,662,455,046,622,465,708,422,
531,021,142,469,218,760,482,230,282,454,986,203,600,842,539,394,228,874,368,
402,936,119,265,933,167,881,845,473,057,870,766,292,112,080,916,832,983,684,
397,268,486,742,186,585,597,874,878,312,615,699,225,015,667,304,528,646,458,
250,555,049,471,392,888,262,968,079,964,138,645,336,997,371,343,215,971,094,
782,451,315,109,743,737,505,534,258,433,061,160,385,602,508,750,958,544,739,
922,943,972,570,174,511,012,486,264,441,185,280,391,826,647,280,913,088,541,
388,091,283,748,247,230,912,705,680,028,376,179,556,737,281,109,490,835,076,
441,242,852,829,832,141,417,456,015,564,233,708,028,901,218,605,332,538,356,
546,172,347,171,328,384,937,765,509,989,755,441,048,906,300,005,044,520,893,
538,986,591,582,295,300,140,887,417,855,795,521,675,313,840,115,303,571,486,
436,509,112,972,191,912,202,726,845,878,738,007,602,730,291,002,914,215,604,
302,844,137,600,324,332,224,861,649,428,477,543,714,327,728,006,412,985,526,
787,758,019,849,725,631,696,227,405,052,522,019,238,852,835,174,962,369,466,
253,536,231,011,602,408,752,211,107,834,024,117,323,864,684,787,080,277,228,
917,389,478,923,400,252,942,937,469,553,963,028,335,152,057,432,030,163,814,
082,387,417,018,330,025,081,961,528,760,479,652,058,743,505,000,349,663,833,
043,378,115,238,407,212,178,706,520,066,116,310,474,196,647,551,806,075,956,
760,732,173,714,589,133,945,517,075,497,710,842,529,641,499,463,236,376,697,
958,246,775,153,735,695,102,070,954,023,730,077,503,144,858,966,693,691,048,
251,586,079,068,030,381,466,932,421,159,995,018,233,302,031,698,634,675,446,
940,517,617,375,463,190,930,886,522,685,359,303,090,491,449,896,189,398,911,
928,689,469,947,631,994,067,236,413,147,743,259,677,368,979,391,801,707,681,
804,102,911,363,921,510,671,015,143,887,345,622,257,176,520,341,186,576,684,
703,432,570,255,347,603,886,142,397,976,554,898,868,012,002,240,665,425,331,
834,298,903,098,727,824,127,213,199,431,535,488,583,044,884,953,846,256,320,
969,972,250,608,846,793,896,537,221,449,488,911,510,752,586,680,224,288,130,
490,437,324,841,245,736,592,614,572,387,715,022,829,597,504,047,598,794,200,
928,696,179,784,624,684,647,638,899,108,707,373,740,674,453,421,888,665,715,
542,210,174,602,977,376,349,294,560,483,849,540,955,292,794,863,925,512,632,
764,818,318,435,748,374,342,796,821,351,937,115,264,177,287,976,805,818,227,
073,880,103,780,752,881,511,431,137,349,995,388,116,277,482,619,042,300,909,
074,040,065,743,631,844,211,327,354,723,880,998,441,862,325,650,078,257,692,
120,480,614,433,873,896,155,416,560,398,928,610,203,503,383,888,233,137,159,
960,891,756,410,242,373,930,336,805,719,311,344,098,875,227,550,808,996,091,
911,172,635,898,074,406,584,462,827,223,785,279,336,192,171,449,100,763,022,
626,495,551,373,045,483,637,953,539,705,795,892,748,940,085,016,908,811,034,
238,314,308,765,471,173,183,223,669,446,408,506,911,245,387,320,511,472,675,
353,907,572,154,579,144,200,280,033,362,372,315,645,499,253,965,425,804,332,
363,533,282,713,514,051,966,829,638,114,554,443,026,803,595,918,573,660,983,
051,919,197,513,327,916,936,845,637,793,479,096,650,986,069,234,202,145,447,
092,998,197,654,420,925,930,062,127,507,457,265,653,483,331,751,361,952,726,
751,309,184,422,972,962,265,913,105,268,520,745,025,987,727,206,563,493,662,
878,481,794,170,762,925,670,305,040,031,680,296,401,505,708,525,365,600,001,
867,260,070,456,226,664,755,452,000,961,990,189,891,556,014,090,923,776,083,
926,829,028,225,624,730,319,336,121,541,600,331,868,778,900,675,989,391,282,
973,775,878,194,596,582,087,873,966,348,018,525,638,174,571,306,611,339,586,
329,609,213,142,149,882,160,130,354,687,611,212,942,567,983,378,875,089,184,
563,014,087,860,276,900,103,632,682,171,961,383,730,996,352,023,861,291,167,
662,843,682,050,613,536,416,868,102,076,646,385,203,754,619,077,001,928,643,
512,062,509,683,179,713,219,491,131,542,907,717,814,095,246,504,579,136,746,
621,256,216,798,498,563,386,474,476,775,224,600,365,232,977,072,830,610,688,
842,886,882,182,007,219,533,893,485,758,665,396,097,089,075,954,556,666,737,
840,094,904,488,406,357,477,353,620,086,640,831,912,091,730,944,400,178,056,
128,321,435,208,253,868,122,117,212,462,324,124,576,019,770,345,794,476,759,
681,551,813,160,589,163,540,008,586,387,718,277,625,342,966,382,569,510,539,
280,851,136,628,636,105,168,139,873,974,409,049,691,821,783,977,432,120,652,
966,067,882,276,857,034,366,498,248,103,682,675,304,764,619,077,815,573,634,
277,022,305,537,821,824,993,305,255,920,980,753,899,763,521,374,850,119,008,
463,250,364,656,931,189,909,266,220,109,699,845,906,452,121,748,561,137,378,
574,861,325,662,905,422,332,759,595,333,654,551,722,997,152,495,070,878,500,
238,258,535,386,166,559,789,637,886,568,537,984,460,348,282,717,304,879,021,
519,591,816,695,930,125,139,836,426,899,051,732,197,914,818,706,572,415,645,
841,795,389,727,729,524,884,050,768,746,369,133,392,546,258,331,853,738,703,
853,777,012,691,285,660,634,321,843,694,401,340,726,658,210,454,401,470,720,
730,469,762,501,205,306,135,918,823,153,633,558,323,614,165,952,453,492,849,
370,530,814,165,042,552,903,771,618,396,095,754,959,957,444,119,298,907,641,
491,419,659,718,998,651,834,853,283,398,668,337,555,042,018,602,863,763,362,
905,835,688,408,488,754,648,924,229,261,982,087,792,724,162,180,605,995,136,
051,345,866,971,255,367,447,358,345,954,027,633,470,505,669,310,628,460,272,
624,960,748,348,588,723,154,278,860,152,372,032,420,091,555,187,121,032,917,
298,292,881,980,359,844,805,687,519,320,657,252,695,371,382,693,824,932,137,
900,345,929,788,975,275,003,161,282,986,309,378,587,005,012,186,430,227,433,
941,337,723,474,512,938,975,558,859,174,259,547,812,574,860,070,638,852,995,
494,384,801,609,827,318,962,935,690,874,032,351,987,535,564,175,558,980,780,
666,786,395,038,636,789,365,444,795,529,632,368,950,840,693,762,904,842,317,
403,603,561,132,711,112,542,680,416,896,341,869,175,908,160,311,710,393,817,
111,133,859,033,036,917,557,163,800,169,689,418,143,831,967,729,814,852,378,
231,087,217,364,785,118,670,154,930,144,290,017,276,759,250,843,133,687,648,
629,448,820,588,268,258,501,758,855,909,280,487,670,227,239,897,282,137,591,
828,924,631,632,856,131,816,027,947,382,491,995,254,293,545,399,918,790,974,
412,126,750,878,690,393,867,242,968,124,419,290,665,729,349,045,411,708,356,
129,158,410,186,446,575,697,495,234,224,502,793,802,606,088,487,373,637,540,
811,723,722,104,726,014,301,145,182,922,637,909,072,320,694,711,042,383,260,
229,420,282,742,956,062,845,894,285,136,953,532,345,791,728,504,156,568,243,
780,380,068,839,721,603,129,463,362,872,073,574,759,970,877,137,791,403,827,
093,801,590,067,051,442,720,682,374,930,361,777,934,694,541,826,259,226,586,
111,265,128,737,870,468,054,122,992,646,044,200,304,318,444,076,994,334,152,
064,035,949,353,898,789,037,602,560,021,294,564,016,395,880,669,804,445,976,
121,614,002,154,368,923,093,096,929,663,170,919,984,270,796,833,725,940,654,
498,360,164,674,857,324,215,930,667,369,334,209,643,193,624,836,848,255,502,
405,795,363,089,754,631,248,844,039,278,562,281,780,178,618,433,417,273,071,
535,593,929,006,405,618,484,259,811,536,782,294,817,539,098,355,703,923,577,
196,949,784,412,202,785,102,558,831,907,243,304,619,590,460,891,476,886,696,
180,253,096,697,907,423,777,261,111,787,244,933,213,847,100,256,199,926,530,
518,292,388,744,134,959,143,882,424,735,608,648,572,051,786,324,139,872,903,
546,913,078,730,246,145,493,891,218,361,861,016,138,119,507,026,826,536,599,
020,301,715,813,760,606,318,069,047,338,449,737,819,731,907,998,349,489,490,
272,081,640,055,012,050,740,001,165,026,925,125,948,041,994,834,704,065,262,
116,423,478,199,945,248,059,107,893,292,217,217,360,826,138,977,791,803,152,
631,462,376,477,447,643,186,152,547,627,060,697,236,485,594,498,815,218,466,
292,122,211,305,735,076,390,147,524,885,916,936,353,354,080,738,778,725,068,
880,331,991,983,314,098,799,264,271,283,353,586,334,383,094,375,851,210,569,
174,368,813,251,748,229,072,465,450,263,497,916,627,950,309,122,646,940,958,
921,006,103,507,258,802,476,694,023,002,334,739,700,199,132,173,698,307,883,
370,826,831,116,904,190,608,469,885,117,452,172,165,997,233,359,201,075,591,
800,840,235,457,012,964,226,326,346,281,148,519,145,843,298,865,232,934,458,
619,827,672,489,271,534,910,060,742,221,074,716,194,220,256,148,755,331,223,
102,338,890,773,804,268,308,651,343,290,809,449,191,453,979,232,379,128,949,
281,663,014,480,724,122,199,420,517,507,602,137,746,591,217,456,152,958,749,
118,369,698,018,768,766,054,380,959,506,978,952,656,419,476,036,209,108,215,
446,970,952,808,933,826,102,482,085,515,881,229,391,223,413,156,352,297,675,
745,508,145,412,491,419,729,515,642,230,295,585,926,353,427,133,099,724,222,
733,610,756,951,887,732,448,436,568,819,938,189,316,161,592,513,644,179,193,
524,679,817,253,804,265,822,634,660,426,102,279,621,811,238,171,142,523,143,
956,177,062,040,227,821,249,807,731,934,948,317,968,327,571,201,547,574,035,
664,236,219,341,694,874,035,076,032,135,259,780,352,548,604,474,980,205,774,
714,963,246,513,268,834,157,516,661,904,642,122,860,212,319,466,073,481,309,
473,222,828,079,841,081,358,263,940,707,791,795,699,241,597,677,227,237,698,
993,961,218,608,052,072,416,516,855,645,563,514,598,158,205,885,913,321,350,
590,896,711,810,611,427,615,297,010,470,063,706,163,093,254,257,534,137,517,
821,742,626,207,124,419,081,556,083,469,345,574,919,854,844,503,865,051,571,
097,132,144,979,914,797,949,972,806,035,505,378,370,663,166,450,684,598,233,
993,500,157,364,900,524,680,883,416,696,074,773,574,872,660,293,168,036,633,
781,822,656,177,484,781,604,957,498,023,752,467,477,179,538,372,022,792,525,
044,242,099,641,936,192,383,898,698,633,357,630,341,228,207,472,131,288,330,
726,410,597,047,617,783,066,793,331,700,477,695,436,815,564,401,684,937,997,
951,929,619,862,464,234,995,302,023,029,024,816,034,735,486,651,177,989,562,
363,902,978,389,080,894,233,090,551,400,897,969,615,297,224,081,352,144,370,
446,408,153,480,462,559,661,806,092,505,896,736,559,737,708,045,624,095,922,
600,100,044,010,673,161,487,304,452,412,615,162,156,025,694,833,611,357,960,
658,906,820,362,168,787,716,738,056,659,502,992,191,568,658,776,036,955,677,
641,555,585,857,862,818,813,679,145,567,963,895,290,287,901,840,174,622,773,
588,909,485,040,520,581,298,089,739,253,798,622,702,972,474,449,655,390,091,
882,028,624,081,984,558,804,875,693,640,055,642,078,723,587,410,170,307,035,
453,962,622,889,818,236,799,906,497,558,401,119,374,609,958,956,863,084,005,
205,820,257,422,061,683,901,898,522,403,083,954,492,745,312,795,965,810,154,
492,031,348,332,022,022,742,447,718,186,789,619,199,834,895,837,239,518,966,
425,268,634,714,154,717,959,710,010,200,205,916,881,515,424,913,879,835,505,
783,610,542,834,784,135,865,060,189,462,840,296,580,432,984,323,386,575,755,
721,622,840,559,703,334,641,319,254,124,641,638,898,712,797,484,643,471,875,
634,971,742,027,290,248,945,672,203,064,351,347,526,309,792,841,652,412,568,
813,830,745,500,556,733,863,030,540,793,838,988,390,730,710,500,296,168,169,
120,855,718,885,217,438,952,888,557,307,416,245,836,135,831,349,052,820,877,
399,653,381,054,793,426,302,520,473,324,326,385,850,126,632,903,784,261,302,
351,223,330,318,948,245,681,449,202,833,695,472,178,276,944,078,214,407,058,
976,566,170,877,673,100,320,866,774,820,503,801,483,994,171,109,831,737,255,
398,665,180,272,258,473,409,947,012,434,062,251,129,716,093,608,391,038,160,
296,571,165,894,063,055,121,434,791,172,850,471,884,350,085,041,250,400,989,
847,407,850,309,062,133,295,345,078,782,910,388,817,967,462,419,237,102,470,
052,929,472,164,309,514,387,669,534,913,349,349,525,836,881,386,854,463,570,
016,302,627,815,262,744,230,946,163,955,243,135,105,956,574,157,454,089,630,
252,700,607,456,514,644,511,531,392,139,680,187,326,883,924,438,159,600,772,
971,321,675,427,912,452,807,005,476,134,878,040,549,235,560,196,082,843,294,
266,152,149,971,549,181,563,179,115,059,321,976,924,945,410,733,754,514,375,
052,617,095,900,266,767,992,778,236,805,472,008,890,281,025,690,286,338,417,
577,161,033,784,788,854,301,157,337,254,664,441,534,613,017,420,268,070,618,
977,853,480,076,431,284,388,019,387,552,609,597,388,581,155,855,364,886,295,
167,923,763,267,277,765,844,371,673,935,959,690,856,491,704,084,631,714,296,
553,113,526,345,506,812,271,647,233,078,128,054,590,834,222,008,978,444,222,
477,910,983,127,727,346,560,473,386,498,487,917,138,247,469,874,744,577,036,
912,896,829,336,944,838,004,861,749,916,383,708,276,880,362,493,473,198,190,
452,048,880,968,696,778,225,453,119,220,440,082,461,168,194,275,523,329,115,
031,102,173,631,371,375,075,527,064,016,779,894,774,977,680,033,820,626,215,
815,309,889,628,970,819,273,576,257,936,015,969,108,494,429,216,385,983,619,
913,434,991,451,090,928,262,246,098,118,870,145,743,000,115,173,118,875,518,
842,315,008,546,448,774,905,255,038,427,651,089,858,578,136,549,649,874,504,
236,119,727,042,320,838,495,663,286,529,454,795,215,659,721,032,002,273,546,
486,341,139,419,457,692,336,656,679,043,243,947,023,309,034,689,363,126,024,
317,022,245,250,549,131,075,434,657,373,422,833,629,320,599,353,121,335,036,
065,940,122,480,424,558,641,841,081,038,044,706,104,466,054,085,701,467,208,
689,596,839,277,501,966,671,752,417,099,481,447,588,345,646,421,798,901,408,
287,111,176,965,256,593,713,107,769,570,608,381,465,807,900,462,580,235,371,
498,275,901,102,237,399,001,523,125,996,461,955,920,172,317,917,312,007,614,
774,238,359,496,901,092,267,730,436,590,865,975,001,238,797,117,421,873,432,
607,069,962,750,723,012,910,789,114,073,021,382,534,164,359,129,008,126,651,
613,530,065,804,856,915,215,805,128,982,186,326,640,161,603,697,734,304,798,
378,953,794,862,795,150,965,304,346,084,078,233,313,595,966,396,805,497,579,
078,844,295,125,319,462,587,505,247,393,424,059,920,412,365,226,565,814,885,
795,223,311,348,907,524,743,990,035,911,761,277,918,574,096,624,380,196,627,
786,299,785,031,945,931,796,118,292,265,265,051,982,725,721,777,683,582,959,
294,424,720,775,581,570,276,512,706,609,621,175,336,961,181,072,420,583,740,
996,899,392,442,554,655,271,974,247,896,568,692,573,824,127,660,944,293,525,
267,778,870,162,939,552,816,852,733,949,030,307,484,055,485,050,078,827,128,
228,028,380,482,231,040,819,118,815,537,551,934,844,306,600,305,903,850,484,
670,642,786,789,287,932,408,098,836,474,433,662,719,847,695,215,689,968,172,
630,356,191,439,959,244,505,223,832,018,592,395,340,996,082,033,044,741,591,
222,010,962,319,452,328,355,732,184,446,116,495,748,931,059,423,264,266,526,
039,862,206,235,831,555,354,239,413,575,480,102,660,450,330,855,209,192,392,
043,773,821,155,210,458,826,531,362,895,318,395,941,782,613,716,659,332,875,
127,488,552,112,644,299,530,995,300,645,822,106,663,521,151,667,229,611,665,
799,247,406,300,117,215,382,614,879,470,110,224,027,909,440,602,910,929,747,
681,896,219,204,371,072,947,605,153,102,156,962,871,241,092,548,957,078,448,
291,077,335,537,495,557,994,146,200,654,780,809,682,208,638,866,500,220,601,
384,859,766,355,094,686,152,258,252,328,016,104,119,916,642,136,211,451,699,
302,676,212,411,865,358,385,416,115,177,960,209,195,411,969,919,487,508,864,
425,759,839,876,526,383,568,375,898,604,865,628,772,523,934,794,853,131,267,
530,016,575,018,532,071,329,015,338,410,016,444,958,474,536,447,545,521,514,
725,350,535,568,749,129,137,439,369,727,528,168,596,026,872,429,885,781,419,
414,466,013,489,283,062,466,637,465,091,720,324,104,743,754,046,166,789,169,
377,579,040,461,125,138,043,158,148,591,665,899,700,692,109,789,854,599,803,
285,373,136,315,597,858,466,240,533,751,396,626,431,746,344,739,459,749,386,
649,830,874,000,388,879,657,055,047,887,633,573,738,203,746,392,238,583,785,
581,369,480,632,684,602,561,823,534,296,840,451,972,459,032,744,251,076,112,
853,506,306,394,887,251,911,917,873,281,370,403,236,585,772,384,279,118,097,
567,446,392,852,109,075,582,697,923,032,751,202,428,436,844,112,755,915,536,
104,301,958,387,450,463,476,623,228,936,458,642,886,480,214,589,889,921,187,
169,710,307,364,631,609,116,208,431,422,299,502,665,442,167,754,476,667,584,
377,170,726,221,875,754,424,783,102,102,791,194,574,910,232,556,080,242,047,
426,730,352,897,794,316,441,892,202,759,836,644,544,198,675,951,118,550,309,
001,946,999,082,687,085,764,633,846,884,902,750,216,518,326,784,573,098,382,
353,006,762,671,395,314,012,539,969,452,942,105,639,726,196,735,841,163,094,
698,793,489,975,989,376,537,233,326,522,747,506,173,621,135,305,035,054,440,
208,188,254,084,097,253,292,420,734,084,633,504,392,086,061,328,651,107,450,
272,335,198,838,213,406,670,839,473,486,788,367,773,409,469,155,620,916,657,
509,245,985,078,409,366,580,526,525,223,474,063,485,279,759,844,835,586,828,
926,314,021,497,077,698,823,979,362,899,057,439,198,539,071,232,798,818,693,
401,524,293,211,134,540,200,020,958,625,772,963,679,665,471,129,443,381,903,
273,757,639,665,376,560,066,758,219,757,483,154,445,453,400,925,935,375,468,
746,593,661,135,655,071,848,443,022,701,369,060,643,317,877,007,049,085,205,
368,776,594,978,840,405,946,482,488,612,127,306,722,213,738,687,768,527,923,
022,902,500,465,234,691,801,152,198,879,728,533,972,409,159,181,209,805,268,
901,341,585,301,711,813,928,012,092,841,507,641,527,427,141,120,959,458,713,
624,247,563,025,278,174,712,010,174,837,970,445,469,526,820,110,061,447,175,
244,972,431,688,963,252,619,581,737,893,852,261,554,962,686,190,329,078,767,
920,160,119,488,693,806,365,959,267,821,634,771,117,834,515,680,134,166,638,
313,820,010,741,040,398,003,557,978,270,864,039,027,156,759,747,879,893,406,
623,262,484,129,008,688,451,995,739,577,856,751,353,170,468,637,226,938,047,
297,962,840,043,990,063,905,616,760,564,801,754,192,209,546,188,560,479,526,
637,682,322,830,283,464,079,311,900,143,473,895,282,497,110,883,194,565,995,
235,487,181,514,311,495,246,753,165,767,595,141,155,255,251,036,736,882,055,
629,567,554,387,934,335,762,821,612,034,380,539,288,293,228,361,059,561,531,
424,020,351,087,374,862,378,043,843,383,681,540,901,331,223,565,886,879,477,
544,462,213,351,417,636,622,659,825,389,521,888,637,049,437,682,648,347,152,
553,977,802,242,150,854,591,955,780,953,663,192,177,682,841,964,538,359,304,
150,662,610,112,700,602,179,902,691,775,708,476,359,244,657,251,654,950,799,
337,384,664,192,900,678,571,053,230,713,224,850,327,803,019,528,880,258,429,
420,114,830,390,111,739,799,988,636,967,854,064,865,749,954,249,291,156,283,
737,738,034,461,204,791,887,210,578,734,847,699,402,595,218,657,753,823,571,
128,364,497,191,399,368,300,642,052,558,799,373,797,367,791,980,237,070,891,
592,948,295,260,079,565,683,431,115,600,871,818,782,176,644,488,433,560,092,
982,587,437,794,730,328,680,315,387,214,588,394,382,216,270,389,990,398,552,
983,355,007,612,591,484,177,652,255,422,584,928,680,039,109,281,181,452,694,
968,863,992,297,493,521,354,220,548,466,470,042,656,793,338,633,168,717,624,
167,009,334,708,776,014,266,390,920,932,726,528,439,332,317,493,092,350,597,
485,533,475,268,966,138,492,518,153,658,984,249,016,267,068,419,052,286,824,
595,934,471,488,076,172,686,005,744,672,988,293,300,453,786,106,433,071,581,
137,234,438,536,148,451,312,768,205,047,474,359,535,324,243,276,134,642,594,
710,504,569,933,354,375,217,316,668,132,589,401,781,733,713,355,250,283,357,
234,852,400,900,590,145,092,095,268,647,011,339,164,294,336,637,095,300,183,
209,405,929,418,618,697,772,868,653,112,649,506,668,298,786,615,248,122,788,
190,028,989,443,278,524,981,196,462,981,832,178,565,192,897,293,527,206,802,
988,891,253,410,488,392,838,204,664,295,755,551,755,462,137,364,229,233,247,
359,250,481,648,225,812,991,363,966,689,436,081,813,565,501,509,411,053,148,
757,699,929,545,687,005,820,122,963,107,288,066,293,130,579,602,266,582,994,
532,060,309,554,925,932,536,742,191,369,076,340,881,919,708,718,333,345,419,
109,099,448,157,030,484,791,189,098,377,657,470,493,439,159,668,250,696,305,
990,863,852,438,644,116,360,616,464,532,152,791,787,318,256,749,771,140,770,
753,312,844,010,033,211,444,894,534,290,848,901,258,794,239,419,285,399,799,
145,551,246,180,608,340,519,987,817,904,617,206,643,648,012,493,414,630,280,
200,901,242,942,238,049,662,535,385,184,109,688,085,311,703,116,318,611,159,
954,283,990,733,384,549,556,473,793,482,125,061,895,273,710,511,519,446,397,
864,598,192,086,869,562,521,406,062,738,776,173,632,602,070,212,748,115,814,
680,613,495,622,202,634,838,981,610,507,461,131,444,611,725,214,849,698,653,
412,659,225,486,537,736,484,639,634,830,750,485,024,801,849,474,138,663,981,
196,621,651,119,721,595,330,158,945,840,250,203,669,651,617,326,965,400,825,
421,207,451,465,660,576,322,408,519,834,025,909,068,892,771,025,688,466,147,
702,979,503,191,973,500,912,866,463,402,673,985,485,168,890,541,184,984,358,
485,788,368,153,555,726,747,477,869,309,355,052,544,225,399,139,453,977,879,
631,217,330,423,401,549,612,618,238,745,034,040,392,658,667,894,368,565,254,
183,174,968,368,810,786,214,301,561,399,385,451,214,284,779,160,367,921,737,
203,370,479,798,712,490,186,415,959,247,788,024,815,730,535,086,562,914,945,
620,339,233,586,030,014,693,391,013,547,003,881,600,996,783,466,600,679,979,
430,513,883,016,396,197,272,134,530,005,272,789,642,833,375,200,183,421,023,
017,337,741,547,513,642,369,133,752,225,607,236,666,257,010,370,972,904,915,
362,692,453,495,522,830,977,692,217,903,940,438,649,694,353,800,112,643,001,
769,780,194,945,801,162,561,952,182,625,042,036,474,292,189,106,463,189,586,
153,397,430,137,005,925,833,631,829,010,651,368,087,929,789,581,375,589,446,
074,888,137,456,169,157,641,079,545,815,635,739,666,973,469,327,905,131,920,
208,906,988,646,438,331,474,631,586,528,917,634,568,653,962,792,061,362,377,
551,866,369,162,275,546,693,839,947,076,122,676,454,655,397,204,366,879,286,
622,927,992,409,670,835,360,508,427,869,923,544,884,974,208,549,602,411,088,
641,651,077,219,340,947,678,641,698,125,807,028,525,348,617,183,417,443,096,
446,242,868,626,272,656,171,616,439,136,962,487,895,878,344,780,440,330,033,
624,604,417,158,318,052,325,666,248,718,352,162,941,942,801,603,019,111,901,
979,159,613,987,405,670,818,828,941,615,229,099,821,598,988,291,035,765,993,
532,273,049,545,094,160,160,482,279,556,589,482,042,723,118,298,765,019,241,
902,109,348,154,304,463,252,480,339,737,382,235,357,873,576,075,679,452,682,
251,554,237,656,945,631,403,492,125,416,722,142,008,419,471,608,872,397,489,
046,611,486,652,755,643,689,113,940,277,026,254,693,749,323,507,803,929,903,
393,414,450,556,649,614,692,911,723,884,130,303,428,074,970,658,808,613,175,
606,701,062,688,167,588,956,772,965,715,600,715,911,741,661,092,656,651,771,
641,106,830,962,486,925,901,876,526,483,398,668,525,563,632,703,006,511,480,
052,439,894,066,311,017,160,472,551,431,205,416,783,250,017,043,897,059,357,
050,178,009,685,713,048,645,539,646,872,789,629,051,567,524,896,177,676,987,
500,057,233,022,600,138,666,574,921,529,475,326,217,883,426,756,395,229,693,
973,688,646,766,849,431,208,112,144,841,314,479,130,252,521,938,369,866,789,
007,732,291,671,324,156,886,743,700,754,801,546,406,814,991,072,588,177,235,
476,889,767,642,599,266,063,088,683,226,776,788,070,658,107,461,447,790,258,
215,581,482,608,420,216,343,375,366,004,333,333,606,928,029,069,589,590,184,
694,068,709,905,769,765,803,737,530,331,543,044,425,271,884,668,984,994,362,
958,643,531,228,467,682,195,652,470,146,942,734,057,151,227,671,784,576,003,
152,473,212,890,653,672,149,631,326,103,804,291,060,518,958,271,398,207,800,
334,868,892,924,189,520,715,281,915,519,943,427,626,409,408,104,312,986,811,
558,739,462,974,716,285,118,691,350,619,245,279,652,925,537,627,479,670,774,
160,999,880,069,374,409,579,278,933,052,453,616,598,509,184,892,042,645,207,
076,888,156,484,828,619,290,252,655,335,440,857,583,389,921,273,108,731,789,
668,549,354,797,850,304,306,339,103,289,730,807,835,176,613,461,186,825,447,
607,140,777,209,121,306,859,825,105,695,849,077,461,841,712,784,426,374,459,
641,993,937,943,826,075,947,779,896,016,985,357,823,605,689,017,601,787,587,
495,475,442,650,129,216,147,580,213,298,342,840,663,232,031,107,405,253,839,
857,528,099,496,828,598,863,062,195,065,783,895,941,364,569,339,515,236,984,
529,843,633,279,681,380,640,888,936,715,001,361,421,015,235,826,635,277,920,
310,300,241,993,862,642,246,608,301,042,268,376,626,067,577,149,670,552,413,
659,333,010,713,242,749,764,698,081,425,210,087,192,666,196,636,528,817,313,
938,551,303,148,142,302,081,222,249,416,610,788,143,141,855,935,902,494,653,
103,828,829,114,578,869,607,324,227,186,044,887,678,700,145,664,398,555,263,
650,623,280,194,401,877,122,779,135,931,692,103,750,342,109,865,651,036,602,
867,786,253,927,098,820,503,005,548,090,185,358,848,466,689,015,149,403,372,
514,725,333,389,570,349,452,151,993,187,883,444,140,864,184,134,578,887,852,
747,147,052,130,973,010,596,694,209,386,403,765,869,730,350,751,631,839,293,
818,853,413,324,399,660,609,070,360,593,873,696,474,374,422,746,662,904,498,
098,893,353,074,397,392,555,046,066,653,076,919,689,696,788,352,203,025,870,
300,417,890,550,784,826,535,156,296,665,570,348,633,926,734,927,110,806,194,
027,664,126,223,086,527,598,697,596,121,832,686,545,107,371,908,843,416,829,
637,438,312,071,750,007,451,170,374,974,380,142,741,824,640,170,005,145,168,
331,531,795,788,942,794,067,491,899,665,499,997,083,772,432,976,771,685,089,
435,729,196,392,715,136,538,949,079,798,590,865,579,230,627,289,829,295,476,
391,969,899,469,388,378,420,287,729,089,703,048,993,116,824,677,026,172,318,
201,371,697,477,159,668,697,801,473,870,788,734,926,834,927,035,984,239,724,
744,689,329,388,820,645,286,548,732,609,660,686,024,706,024,864,645,348,008,
354,862,502,187,000,993,397,349,730,049,068,613,136,850,164,010,794,648,417,
808,895,155,918,275,580,728,284,937,742,113,963,383,036,305,154,027,878,856,
510,865,234,588,817,978,842,477,525,013,617,894,691,804,207,825,578,477,994,
816,486,411,005,787,054,246,890,842,946,960,154,736,009,383,120,368,256,069,
029,023,643,502,913,091,695,179,049,525,755,836,909,595,896,843,039,717,830,
517,726,363,623,434,516,961,367,940,563,139,025,440,101,263,548,298,796,116,
285,499,406,958,226,327,997,247,363,788,485,460,689,532,467,119,590,251,194,
595,082,165,957,893,061,300,343,919,280,735,963,474,236,733,522,713,727,569,
999,172,458,035,241,396,359,603,055,950,049,543,266,339,185,673,418,297,023,
821,200,438,956,909,323,995,943,168,188,930,182,700,802,039,011,617,888,355,
182,200,853,962,738,920,009,345,666,893,765,125,252,353,143,901,275,090,549,
782,071,408,062,770,926,325,052,830,117,336,909,262,881,571,094,195,726,469,
918,262,533,112,322,187,986,693,082,089,693,373,764,052,927,200,961,674,609,
830,330,226,131,212,111,993,938,240,083,758,053,758,464,271,100,026,348,315,
229,604,653,529,067,462,343,012,815,660,954,450,379,434,354,208,370,209,712,
616,633,186,187,364,998,495,108,174,116,997,663,706,517,041,747,087,752,001,
491,322,915,250,056,238,798,735,813,080,679,855,345,817,787,632,675,038,984,
143,402,445,366,545,432,637,405,172,266,716,021,149,090,501,475,706,918,271,
105,800,203,030,330,756,242,953,137,266,027,571,027,442,600,302,252,770,964,
379,797,646,163,961,339,579,942,130,499,269,424,643,338,799,718,604,142,656,
243,072,142,029,892,209,413,886,711,824,754,541,580,263,922,728,990,408,160,
727,190,864,404,210,203,223,249,599,291,869,028,289,691,164,353,362,926,808,
824,118,957,981,057,011,494,044,468,608,375,942,866,315,248,625,860,499,976,
669,220,408,609,066,336,498,596,004,249,181,906,798,070,157,093,284,648,627,
849,629,965,260,700,577,208,434,806,863,648,626,543,413,780,339,008,457,095,
681,352,562,315,471,148,907,201,255,677,744,360,566,058,952,123,640,916,174,
378,873,938,455,902,844,690,613,495,747,631,691,728,553,210,925,791,533,384,
715,209,618,728,023,336,478,193,741,980,644,590,213,403,841,098,224,746,823,
364,730,362,671,008,531,365,202,491,128,368,701,381,457,073,146,395,151,888,
495,969,072,723,870,235,800,528,654,512,632,771,381,787,899,374,517,863,727,
950,833,162,848,822,844,447,524,366,124,438,469,871,467,373,045,984,960,023,
718,427,619,507,588,747,896,995,976,215,701,561,389,920,164,158,239,692,001,
187,476,173,552,789,405,177,038,349,198,221,144,138,325,744,750,685,391,690,
445,487,703,530,258,301,896,446,034,404,147,790,249,128,592,941,733,924,690,
321,791,377,234,403,479,911,361,407,777,102,596,873,237,301,029,021,443,633,
908,688,317,848,236,374,046,272,724,683,707,481,012,187,156,457,632,234,545,
806,863,140,019,558,091,917,039,124,324,391,944,844,598,512,425,948,624,904,
489,084,407,529,228,986,171,279,417,294,889,827,238,685,819,589,724,115,317,
094,200,492,385,491,650,339,375,077,528,698,151,142,485,613,850,884,397,348,
373,946,050,645,724,479,095,233,178,122,659,958,841,106,988,080,702,264,460,
493,253,008,087,201,758,034,181,886,525,082,121,618,113,880,224,134,838,825,
811,908,099,172,385,683,047,450,799,182,657,298,360,390,287,386,440,591,712,
583,164,524,376,511,981,074,594,346,444,244,290,165,028,305,383,938,734,731,
931,421,199,713,768,705,058,506,073,470,786,504,776,634,843,469,099,103,623,
166,226,766,211,047,126,120,858,029,339,376,793,693,248,408,870,926,201,631,
591,342,295,624,641,604,674,396,058,073,229,710,987,374,118,327,552,930,577,
714,825,530,965,039,899,609,770,477,199,890,530,269,628,767,993,005,321,163,
044,011,521,027,262,653,233,674,240,654,164,059,612,019,990,431,644,822,532,
619,213,269,538,066,210,190,311,881,380,882,833,394,154,638,060,192,660,161,
868,827,363,701,891,802,426,423,157,146,905,964,484,921,692,311,843,330,623,
394,549,600,674,704,612,431,752,027,380,053,259,561,047,757,474,215,132,993,
090,643,222,326,942,126,205,913,693,318,940,642,421,865,979,184,998,331,399,
708,984,242,176,987,594,423,481,437,673,719,116,284,022,271,687,866,825,954,
770,326,031,977,894,695,411,919,474,452,227,174,790,410,942,576,019,944,251,
826,248,684,858,045,755,104,677,454,269,514,581,519,200,272,805,963,690,846,
354,754,531,609,606,228,322,844,592,767,898,835,577,569,335,412,921,685,036,
822,236,326,575,561,104,318,712,119,411,388,258,579,195,898,137,182,020,764,
950,341,364,439,333,917,074,085,755,699,622,115,525,060,914,465,030,785,264,
830,472,663,152,207,484,161,740,324,545,341,468,815,028,691,443,864,993,413,
341,105,898,426,642,753,567,560,817,122,036,395,217,124,017,733,873,538,691,
877,704,383,589,922,716,155,652,315,681,763,725,308,114,812,147,126,066,005,
286,032,127,884,699,923,719,242,037,619,122,562,491,551,560,683,170,189,657,
175,552,592,657,072,279,373,185,506,960,713,737,899,578,740,776,508,979,793,
409,365,346,409,295,712,771,561,112,615,265,298,690,468,599,763,066,039,228,
782,369,199,940,958,214,909,074,313,826,987,239,550,242,678,763,285,741,962,
063,069,531,434,097,428,002,536,770,900,454,147,899,195,316,631,198,554,870,
349,922,265,621,300,310,072,440,067,308,657,766,045,385,376,858,970,198,288,
410,722,304,978,657,106,713,927,650,787,022,611,096,961,031,903,670,666,825,
284,203,231,144,429,029,726,851,092,690,767,866,934,088,113,897,503,230,912,
875,271,610,532,577,695,740,929,751,000,353,523,534,639,502,096,864,997,536,
753,486,277,001,465,261,559,637,008,455,141,139,166,501,340,103,708,905,427,
177,204,365,486,485,354,830,739,899,060,042,949,840,271,331,021,289,621,368,
928,992,340,630,364,256,188,104,384,360,693,384,729,517,087,445,613,307,748,
331,427,764,133,285,779,624,268,397,877,353,068,365,851,079,461,141,727,854,
049,046,839,317,720,900,804,316,337,939,729,004,297,518,826,165,120,329,979,
101,563,606,583,726,934,451,168,788,738,848,471,419,933,023,288,158,744,177,
721,056,583,587,868,254,319,857,186,086,851,085,057,425,045,467,131,686,305,
763,931,065,087,848,589,124,146,484,218,731,525,599,004,380,054,722,931,114,
803,078,410,677,500,896,775,040,799,251,687,435,365,139,301,812,819,157,155,
665,152,916,560,096,363,140,593,314,750,178,587,995,710,688,818,039,171,400,
811,517,950,187,947,561,029,853,159,134,223,754,196,414,700,192,236,039,801,
502,231,376,396,607,276,274,147,420,522,464,779,079,613,252,293,072,742,381,
263,798,181,740,257,241,973,462,498,107,884,661,477,679,519,269,312,126,384,
389,705,179,692,114,600,384,540,750,278,777,801,335,286,069,078,525,597,520,
989,245,953,350,484,409,200,753,083,090,641,685,092,254,968,773,799,764,168,
061,285,675,402,474,350,158,547,398,765,763,338,013,885,582,002,530,345,667,
407,359,253,760,684,608,651,863,907,662,007,889,674,268,681,442,885,828,251,
329,209,740,475,776,714,542,274,680,234,078,104,427,649,691,056,788,766,457,
780,174,320,343,502,633,824,559,782,178,912,004,759,435,426,231,831,624,622,
845,402,641,274,493,389,585,335,435,017,250,378,728,428,493,882,041,490,566,
546,770,275,163,910,189,619,749,133,866,127,263,847,593,340,279,007,421,713,
153,205,267,492,896,090,507,219,680,512,174,557,041,149,623,786,393,282,606,
006,663,025,076,958,061,875,675,029,573,241,654,543,011,937,300,794,457,368,
341,014,009,992,400,633,171,353,111,301,685,142,133,845,580,020,285,993,753,
222,960,423,382,292,176,622,355,726,964,437,809,692,120,445,055,000,972,952,
516,695,568,379,198,797,795,171,684,284,734,489,963,774,480,562,076,484,396,
451,521,738,538,237,090,396,131,047,180,303,905,004,475,839,970,349,117,857,
189,273,088,535,004,707,091,485,658,639,700,351,718,530,765,278,326,936,022,
996,578,833,894,124,988,943,229,420,073,245,853,123,034,443,084,396,841,922,
196,285,122,508,353,645,177,974,788,741,502,647,399,914,860,776,803,219,448,
832,979,422,369,117,752,198,586,880,234,540,675,935,088,247,813,988,750,155,
697,432,662,238,185,224,717,561,569,341,781,781,951,112,206,612,292,640,982,
650,075,170,499,402,683,020,699,723,784,496,470,875,936,557,218,304,914,838,
201,592,587,332,158,959,718,522,568,081,322,825,749,873,760,678,778,876,073,
003,724,206,344,422,878,465,537,035,945,611,123,010,187,917,574,446,637,216,
187,425,013,882,225,662,960,827,892,546,893,689,399,887,520,229,930,281,365,
178,394,523,256,276,153,439,015,050,886,866,870,237,234,954,268,985,734,830,
767,570,735,996,697,251,571,086,901,807,473,413,479,712,833,256,866,945,956,
762,415,317,681,852,522,148,905,885,596,805,957,602,051,295,832,242,084,442,
840,982,652,332,901,517,070,491,900,858,112,928,150,702,984,159,712,142,798,
026,901,936,808,303,030,889,966,630,901,933,312,962,781,740,622,960,711,299,
707,225,845,816,915,445,339,426,836,109,770,577,143,991,052,727,103,177,237,
799,599,128,295,752,798,844,740,901,588,090,287,616,349,128,794,305,967,716,
686,961,601,801,018,534,713,432,993,238,940,793,243,725,878,223,293,036,898,
946,882,420,818,144,739,368,658,105,541,995,331,914,833,823,652,207,388,940,
736,245,351,311,145,409,072,418,162,377,916,657,458,684,226,873,268,061,100,
736,744,236,791,753,405,500,333,055,786,457,965,046,244,303,787,365,069,351,
139,162,351,555,724,923,612,966,079,404,143,398,768,506,946,221,032,025,228,
648,711,934,919,812,256,935,119,130,463,240,437,882,134,844,316,294,590,961,
222,186,082,899,212,578,712,047,573,137,911,312,653,938,455,491,457,680,823,
911,958,927,309,991,073,049,172,496,247,887,060,515,335,730,358,981,661,241,
137,291,476,133,547,901,969,606,401,815,490,408,726,894,496,708,058,300,331,
588,090,290,146,315,859,306,560,958,428,099,941,293,112,669,062,765,527,009,
735,115,959,175,564,268,934,360,969,330,400,459,237,098,192,531,816,627,672,
836,092,936,474,862,700,804,655,668,926,413,024,233,136,120,169,507,658,528,
242,366,833,026,753,815,786,103,613,936,394,639,747,945,552,823,952,703,443,
651,591,114,278,101,422,073,468,836,036,214,854,081,419,962,770,429,683,606,
895,451,339,680,872,391,226,372,602,393,017,685,378,848,599,994,902,407,965,
997,105,472,514,026,134,120,618,443,472,846,499,380,983,174,065,384,383,062,
608,258,972,877,910,473,824,603,139,786,455,918,690,166,272,178,067,438,864,
742,429,465,392,890,784,381,918,534,351,460,331,237,729,526,961,376,627,097,
299,889,193,900,748,941,025,499,193,257,713,584,857,062,272,143,826,588,070,
121,326,288,488,627,370,867,409,681,346,195,622,713,211,686,936,721,549,021,
326,331,075,848,981,845,291,073,339,541,076,307,951,368,364,407,953,484,955,
436,344,698,212,193,240,789,527,122,214,082,287,132,217,939,232,253,580,194,
037,381,040,336,863,172,380,585,748,144,294,964,467,204,383,833,828,063,441,
512,406,487,487,273,731,335,439,836,736,544,902,878,105,451,054,012,688,084,
009,899,651,971,158,207,061,116,795,680,143,952,624,614,315,583,627,615,019,
600,583,029,449,913,349,229,964,602,607,117,984,190,829,336,888,964,663,872,
729,209,907,168,752,582,262,527,355,457,378,251,855,825,490,154,131,024,269,
959,549,411,642,791,494,385,569,172,587,921,201,617,679,637,730,377,917,870,
219,359,782,448,458,430,511,952,834,703,366,481,209,516,424,739,725,063,807,
776,960,588,002,562,640,286,969,704,550,543,907,608,895,661,547,112,925,391,
744,763,619,272,604,012,151,421,929,818,005,384,590,536,254,915,196,059,649,
797,819,467,954,969,206,709,268,815,371,208,274,949,875,556,214,767,522,890,
117,363,751,338,720,262,839,338,598,533,230,619,304,695,879,363,325,761,626,
693,125,845,613,637,737,095,713,095,076,416,173,960,035,646,357,282,006,503,
576,823,649,159,444,194,532,479,656,061,527,121,582,414,522,587,776,059,661,
350,252,182,861,894,230,660,650,439,713,370,138,419,473,163,291,798,478,029,
618,153,964,459,572,148,063,794,305,606,936,350,968,336,877,641,173,073,333,
537,414,264,906,545,640,414,408,916,250,769,103,631,064,532,619,282,902,692,
198,142,984,528,683,803,697,866,837,802,566,867,696,881,058,237,268,562,759,
241,474,320,952,183,957,311,763,888,801,271,472,371,714,778,377,215,856,003,
548,582,152,522,886,062,665,055,040,344,036,846,108,665,619,165,774,838,883,
692,763,664,324,873,613,419,746,305,906,562,717,262,597,529,703,134,288,473,
553,133,998,183,649,640,908,110,353,617,179,875,727,822,493,892,316,886,850,
943,640,393,227,422,758,210,267,937,786,544,420,297,186,887,121,667,069,325,
595,045,909,884,794,620,223,467,704,636,671,002,076,993,930,974,759,964,269,
741,180,707,355,885,204,923,822,559,441,378,743,290,589,789,411,428,614,552,
414,391,643,244,744,247,909,419,185,469,702,790,846,239,920,382,742,674,643,
095,889,915,971,265,857,398,214,503,648,680,739,073,600,423,756,398,836,136,
900,100,686,852,612,137,372,894,882,986,645,469,220,493,422,401,052,746,093,
346,775,834,306,077,914,342,882,449,642,540,437,360,558,583,685,854,771,030,
449,863,018,862,101,411,016,869,457,779,121,003,404,274,336,477,533,171,679,
636,100,198,987,975,836,264,945,086,078,142,749,539,695,777,809,678,762,613,
516,400,500,675,786,655,812,073,844,869,468,626,432,130,472,283,014,069,028,
653,155,614,784,537,061,334,532,886,251,576,098,751,807,753,926,319,330,091,
439,147,436,449,074,161,790,365,076,290,123,699,031,154,286,339,323,506,461,
761,321,617,426,961,695,117,606,221,857,354,410,692,114,540,181,911,265,578,
743,168,839,263,361,613,361,560,299,575,929,377,194,068,325,508,594,788,543,
048,950,257,725,769,933,909,824,026,342,738,873,469,104,808,397,950,072,966,
788,739,722,043,034,296,120,386,691,861,656,673,912,651,894,513,829,614,217,
615,248,717,418,659,583,452,535,693,896,302,355,012,956,095,266,284,850,594,
117,942,154,877,009,108,380,166,487,338,354,777,891,212,891,417,195,063,457,
324,439,006,810,929,245,095,766,300,245,340,134,136,682,496,858,823,151,311,
119,289,476,977,836,147,844,221,732,460,205,911,701,387,567,037,173,539,750,
226,334,620,782,053,952,343,732,408,190,019,907,925,701,066,982,104,501,621,
362,667,221,607,787,562,981,315,459,236,820,195,551,919,710,296,969,801,028,
392,510,171,893,117,022,657,546,376,849,268,770,460,531,682,723,200,978,018,
779,957,378,068,091,028,039,770,760,279,964,978,166,869,822,174,954,930,763,
088,804,966,032,693,501,662,542,223,740,903,089,921,333,235,184,477,166,716,
921,638,823,065,696,916,102,554,832,428,579,349,113,314,800,605,880,162,933,
213,135,927,340,622,669,723,189,664,616,815,256,131,111,355,474,004,798,772,
690,458,911,857,161,742,408,718,289,835,224,652,206,387,954,149,898,648,021,
895,871,012,111,859,196,660,690,234,834,624,824,272,205,139,680,352,722,282,
904,555,571,389,988,538,418,148,308,611,205,127,479,118,475,330,487,691,080,
890,548,759,387,236,173,849,672,593,299,566,657,729,648,430,815,268,120,825,
369,009,105,439,546,261,110,945,125,763,165,617,054,089,900,605,143,143,048,
434,510,369,390,954,229,512,623,230,844,496,199,068,468,584,481,780,518,594,
209,923,388,760,225,762,223,300,821,212,091,333,391,054,034,769,116,483,932,
249,089,935,267,150,432,413,512,063,480,866,750,427,206,100,141,126,228,449,
389,555,384,832,879,129,780,840,174,414,562,030,777,125,438,542,404,353,414,
230,558,483,195,770,892,623,257,677,372,288,659,482,614,436,445,468,458,956,
275,716,600,425,149,010,454,095,456,624,040,746,787,636,204,506,939,318,533,
744,677,839,065,634,146,580,069,214,946,933,249,049,010,517,726,752,475,182,
701,192,038,399,943,905,013,923,291,878,659,274,427,088,259,390,445,130,002,
457,258,488,377,948,961,019,273,010,890,276,016,705,692,611,007,137,964,676,
329,362,465,128,475,133,413,609,639,837,431,465,964,208,338,962,592,125,359,
488,446,440,997,953,242,875,403,591,760,958,996,482,545,912,381,346,141,943,
723,273,072,198,553,383,107,648,448,145,209,515,128,608,898,998,967,128,677,
800,085,717,245,035,367,822,323,507,250,874,671,232,870,034,202,271,397,115,
233,928,101,713,804,085,484,086,188,510,640,950,542,201,855,234,185,018,911,
981,035,010,663,978,913,203,466,742,084,563,919,350,908,023,788,611,745,978,
821,222,318,241,687,296,452,364,532,658,107,804,489,121,572,927,373,349,478,
395,159,146,722,829,008,706,886,085,158,550,419,765,122,705,000,907,084,000,
368,185,872,347,672,821,760,180,691,301,065,561,357,707,715,337,989,092,574,
555,090,140,510,915,270,426,317,872,200,743,060,682,296,639,334,756,050,405,
735,123,730,640,050,411,615,692,959,806,728,428,685,636,687,534,936,733,520,
877,902,953,828,022,145,932,256,687,229,455,491,983,928,185,092,889,625,971,
581,658,703,917,545,019,458,207,134,440,545,439,004,738,564,139,846,531,884,
520,318,129,456,707,111,477,087,466,257,650,207,935,261,646,499,262,808,627,
272,772,506,414,838,226,423,965,321,806,569,361,493,792,503,296,449,367,955,
546,998,350,191,486,583,744,746,657,100,475,146,247,440,016,461,961,004,437,
198,889,900,275,903,674,260,643,336,269,404,362,480,090,694,253,815,463,889,
384,519,646,704,001,259,787,462,511,770,134,601,546,472,262,191,470,310,551,
411,935,599,158,326,758,825,027,311,690,684,439,473,798,950,953,277,546,239,
382,374,399,924,384,309,874,161,937,924,065,042,388,466,376,943,609,912,675,
735,937,923,023,484,911,233,968,410,882,398,288,553,805,022,203,742,584,521,
413,354,155,219,690,680,501,185,728,161,320,017,107,227,381,087,960,789,379,
441,393,989,590,758,036,281,481,185,964,242,718,542,954,726,901,377,843,436,
921,370,137,507,245,181,255,213,666,151,679,261,861,271,624,990,608,556,531,
435,424,622,322,387,460,321,765,991,058,828,848,228,017,972,646,784,883,983,
326,038,465,225,392,004,357,247,327,435,014,834,000,190,290,178,830,638,419,
212,460,523,167,972,851,208,097,324,613,281,126,808,265,798,525,273,829,650,
988,758,198,372,244,545,677,334,727,654,446,113,687,108,724,164,875,991,779,
351,608,431,840,201,512,576,904,515,277,627,192,396,990,848,409,455,374,302,
801,268,387,993,758,031,265,817,153,590,055,740,989,042,754,267,496,232,859,
063,451,380,579,178,877,881,179,379,589,143,850,067,096,710,573,022,756,491,
964,017,261,997,377,594,238,179,820,158,198,408,444,338,595,367,149,328,852,
573,970,675,933,575,016,887,116,588,217,620,194,414,273,685,062,100,515,847,
063,764,736,699,993,367,747,713,361,252,804,484,896,840,948,685,846,734,848,
365,522,782,803,396,058,369,407,162,062,599,446,551,354,928,420,430,600,045,
602,305,341,893,890,683,339,488,408,358,486,671,164,052,996,829,662,022,970,
887,420,720,159,272,914,892,571,214,937,122,547,806,261,820,477,684,885,461,
430,975,909,167,530,231,098,721,768,224,791,310,996,237,320,822,904,118,701,
398,571,385,426,960,004,511,212,020,714,138,233,487,021,516,865,284,599,534,
078,923,141,222,565,395,787,396,042,325,155,932,307,134,090,713,295,512,603,
019,890,642,695,360,124,350,232,976,343,670,778,335,631,088,790,835,439,597,
890,738,617,517,047,930,908,394,999,701,089,794,128,499,300,056,577,248,368,
909,280,373,022,928,720,888,495,604,381,688,672,564,812,853,662,309,490,740,
697,009,345,535,901,623,475,452,155,865,393,935,097,166,675,508,658,613,381,
633,945,904,891,020,270,554,548,356,750,944,959,187,345,427,916,839,449,345,
587,772,539,831,622,161,448,966,976,938,554,476,231,306,025,443,039,447,218,
814,539,788,980,772,787,941,383,929,343,111,707,566,476,056,476,874,322,084,
590,210,501,592,124,166,625,845,049,001,487,525,764,112,787,125,476,633,014,
142,372,194,533,563,158,369,255,072,767,047,350,072,319,059,175,520,147,996,
497,012,095,950,003,027,478,815,950,086,811,146,286,201,717,461,607,541,596,
233,158,039,871,325,419,179,381,781,448,952,505,758,415,691,223,467,362,375,
823,577,476,966,156,042,247,647,757,886,484,802,822,698,079,511,872,691,153,
653,781,065,085,538,019,668,025,723,191,241,797,603,302,196,499,331,675,256,
167,208,312,806,613,220,890,269,998,966,804,518,583,213,320,761,437,681,785,
697,112,732,485,632,638,156,239,189,874,820,378,967,070,988,814,644,522,556,
384,760,401,931,663,760,687,007,478,102,563,473,972,933,389,135,509,612,015,
975,118,237,242,828,037,508,533,327,848,960,995,893,630,116,246,657,034,020,
866,005,487,400,757,487,740,593,740,183,347,565,357,814,673,887,401,505,187,
766,027,888,011,592,611,182,181,731,529,009,948,495,204,989,209,229,889,819,
723,275,664,832,781,617,140,093,672,324,963,684,027,352,168,851,596,636,676,
579,837,791,177,193,764,757,954,185,889,158,052,570,437,012,727,393,318,600,
196,706,753,523,901,825,712,131,195,475,193,145,165,830,205,589,198,279,083,
180,198,019,121,159,367,314,399,862,937,804,125,620,727,228,549,473,132,649,
150,795,063,375,430,054,720,748,645,430,020,707,859,984,623,415,369,173,234,
807,606,303,493,736,996,651,926,033,141,603,548,731,592,710,273,572,494,715,
406,277,880,415,835,269,729,232,043,748,340,091,840,817,227,592,163,018,882,
124,732,375,556,448,247,528,559,787,339,672,203,426,800,578,405,238,792,191,
606,009,704,466,359,010,660,405,001,990,331,326,030,700,976,639,168,097,816,
530,736,489,285,533,259,048,534,152,268,579,246,588,190,920,225,115,759,233,
490,133,075,087,354,675,830,103,989,467,816,646,372,196,713,871,722,311,713,
958,570,088,763,400,390,875,575,277,521,389,422,950,768,393,349,489,714,031,
444,273,421,564,827,118,003,535,816,098,425,329,133,056,766,708,118,012,083,
670,690,877,361,290,575,523,656,119,554,726,872,828,902,464,106,661,767,924,
836,945,245,478,945,571,410,389,789,600,927,399,954,462,277,146,561,021,631,
123,872,473,092,036,835,100,295,676,082,880,591,023,549,562,058,877,120,104,
654,747,548,067,605,640,055,277,893,199,899,061,172,604,301,142,052,831,553,
874,631,353,567,900,866,905,108,581,082,581,654,291,978,973,762,562,627,306,
730,167,438,430,663,066,892,615,461,940,269,100,121,279,018,474,771,042,777,
000,341,812,966,982,496,754,576,566,134,764,439,832,604,623,952,571,030,083,
983,915,662,133,232,433,256,259,968,526,325,661,289,368,775,494,183,777,282,
033,540,447,162,429,250,251,814,754,965,026,904,225,175,908,918,217,438,214,
447,435,421,549,909,825,887,583,422,782,534,907,891,424,992,567,620,956,639,
493,878,687,056,048,760,551,882,561,412,440,198,420,362,048,396,668,541,254,
478,083,953,810,406,350,727,868,687,708,277,142,808,570,946,835,844,486,863,
648,933,402,634,386,361,261,409,611,103,191,948,270,735,395,384,096,750,610,
908,038,106,786,566,642,936,134,774,154,368,512,623,668,844,659,140,607,194,
883,892,359,255,965,332,216,892,506,061,405,490,203,387,405,588,329,399,797,
139,657,285,870,209,022,064,201,126,350,205,298,227,149,601,862,891,012,326,
428,614,109,589,221,403,258,258,353,751,107,904,791,725,877,941,289,737,512,
204,405,433,862,964,069,815,031,598,208,383,807,573,309,636,674,859,505,398,
091,057,300,719,990,080,597,496,149,405,415,095,095,705,133,741,152,443,799,
859,587,812,581,881,609,710,531,161,319,107,694,158,682,435,028,517,857,143,
430,400,510,374,547,901,674,238,943,314,440,738,159,435,410,143,609,843,364,
231,654,743,301,234,744,401,456,551,781,830,342,011,217,419,754,313,857,629,
950,616,872,944,702,217,604,605,493,842,635,921,074,407,866,533,298,735,223,
884,170,913,218,006,537,899,268,828,044,769,985,724,020,144,893,857,245,028,
720,956,765,524,357,494,644,618,828,493,737,903,684,187,899,356,657,047,737,
259,405,238,003,558,154,539,897,512,344,452,902,701,236,701,693,031,386,679,
866,204,202,229,521,047,334,621,387,802,818,492,400,353,414,635,674,396,810,
412,321,445,864,853,723,291,880,419,247,384,546,920,250,227,854,725,464,414,
817,182,232,020,506,165,360,453,383,226,927,861,562,760,177,686,713,868,583,
533,591,352,450,704,449,530,208,407,215,515,522,818,782,681,859,382,981,701,
041,741,060,410,381,085,858,553,793,704,427,571,054,512,440,738,652,324,567,
316,521,314,948,024,996,128,130,365,929,301,703,033,996,695,784,430,622,755,
858,833,111,287,289,370,936,567,577,333,663,332,643,351,162,980,715,372,186,
960,008,255,303,496,727,019,054,435,226,669,423,442,956,242,433,823,659,245,
745,742,717,339,391,738,499,931,365,692,524,014,578,601,074,844,232,183,762,
658,540,995,689,120,958,431,365,009,852,921,339,379,287,731,395,083,614,776,
452,874,599,269,183,704,752,912,518,909,897,649,601,321,863,241,052,085,747,
195,625,487,022,636,871,686,870,312,124,536,199,360,521,141,821,237,360,296,
861,379,654,859,123,080,303,596,084,160,031,366,798,451,372,701,715,552,678,
642,351,267,375,433,161,355,684,174,485,865,948,470,546,591,906,238,814,470,
982,673,980,959,903,421,650,802,181,149,202,666,845,234,249,761,592,738,468,
822,252,866,605,859,492,273,450,267,050,418,845,596,822,856,216,204,335,287,
620,162,518,769,972,050,583,676,406,366,296,783,543,009,858,399,954,193,271,
760,145,790,032,597,834,863,699,296,509,079,262,157,201,735,964,224,517,748,
071,047,747,170,440,545,210,770,819,168,837,823,007,822,503,484,877,992,696,
062,804,459,061,748,276,743,568,313,020,632,742,994,881,877,814,576,232,207,
094,911,817,663,393,649,209,731,286,068,632,685,264,686,825,256,000,042,431,
340,362,647,314,967,415,520,301,792,290,061,673,163,855,329,345,552,688,351,
456,563,330,807,501,423,707,162,870,171,299,806,927,546,914,448,792,456,764,
409,977,348,146,961,543,257,264,461,434,378,150,466,945,906,932,335,683,297,
293,317,086,970,145,441,222,972,910,108,733,060,334,489,569,320,507,003,496,
120,167,866,896,441,155,872,717,819,088,898,440,225,819,804,896,787,099,707,
044,788,186,948,265,590,834,874,306,436,005,680,249,439,238,732,280,997,021,
581,482,194,703,204,968,821,086,332,998,049,290,070,910,322,234,755,654,810,
582,155,641,544,745,261,818,053,429,078,665,191,150,146,340,762,863,527,926,
173,042,782,235,763,415,419,970,252,502,967,631,534,182,163,465,545,145,769,
660,430,048,551,639,491,698,561,661,976,252,088,634,464,123,551,976,317,458,
460,352,296,250,108,687,062,213,205,734,410,922,289,792,616,869,569,618,524,
748,396,474,518,998,394,798,725,022,348,703,768,384,507,689,943,771,764,878,
524,618,002,880,315,596,798,284,162,264,773,471,099,245,029,925,087,865,381,
634,069,143,065,607,969,768,535,776,381,277,543,561,180,632,569,462,875,038,
612,891,096,365,441,122,136,222,826,192,597,834,059,480,242,200,987,345,665,
847,465,418,193,807,614,089,911,637,259,380,575,014,132,942,174,063,488,858,
685,729,983,266,132,123,846,362,889,401,255,872,182,381,198,554,437,063,722,
055,572,173,936,681,561,310,447,564,642,892,634,697,245,625,657,853,752,993,
750,326,929,151,038,089,545,060,304,775,311,834,187,181,739,644,810,689,255,
925,220,618,083,322,628,588,161,139,646,148,439,019,711,722,482,674,143,625,
772,106,954,573,212,439,934,791,156,557,216,821,545,329,800,086,546,655,105,
792,542,393,776,316,064,778,978,081,023,784,484,340,569,864,805,076,117,645,
226,049,703,587,982,477,371,130,197,782,399,013,007,601,722,726,766,067,142,
883,549,356,837,814,610,302,812,894,922,765,616,320,185,532,544,106,741,856,
366,237,395,100,540,667,916,609,104,883,384,746,932,661,253,121,511,594,293,
589,400,665,576,908,326,271,715,180,635,233,636,619,718,898,988,656,786,851,
767,623,679,621,832,647,300,467,417,204,148,347,259,661,134,512,609,782,938,
441,377,742,515,696,336,423,702,615,261,590,692,046,223,651,401,361,751,182,
861,442,709,962,504,725,255,277,510,989,388,022,605,977,519,478,264,364,261,
783,923,210,020,254,419,495,010,319,104,257,394,327,077,302,612,617,728,464,
263,949,489,548,246,785,578,139,580,621,316,061,656,177,180,431,309,269,193,
205,146,884,765,860,585,227,040,887,378,188,269,997,119,956,952,409,927,369,
142,793,880,664,632,417,281,797,235,421,068,572,195,286,709,919,089,131,075,
034,350,704,891,855,820,725,469,300,674,057,890,227,214,828,387,216,118,076,
275,779,329,481,542,703,415,611,783,036,056,819,470,862,631,063,500,498,485,
255,783,778,444,661,610,307,186,661,454,407,461,729,506,669,849,195,760,351,
780,241,194,602,724,123,727,207,418,824,132,977,653,593,424,983,267,055,653,
961,177,546,562,647,393,075,449,927,611,741,553,007,214,219,957,037,892,653,
283,877,251,877,944,597,009,705,199,591,811,087,453,615,581,121,431,802,481,
897,520,001,548,685,806,882,430,389,933,360,585,145,267,526,406,066,130,285,
853,543,715,400,296,315,622,870,799,563,544,904,606,694,116,130,526,783,793,
993,672,235,408,424,134,198,630,810,485,363,820,069,990,178,173,910,540,590,
657,132,112,309,899,635,835,669,085,833,595,056,181,552,342,182,544,912,209,
881,027,742,773,674,141,114,594,153,652,368,663,379,164,707,452,982,105,281,
447,780,733,242,234,312,069,431,440,734,429,093,202,772,970,557,122,681,341,
409,522,340,860,426,154,843,448,044,034,772,911,984,295,373,583,945,190,507,
528,413,944,153,626,662,343,106,782,524,713,232,118,419,734,826,323,186,886,
307,207,485,609,074,011,159,835,010,858,132,387,684,864,772,593,800,486,769,
135,042,294,707,836,339,997,050,898,949,832,359,605,929,592,510,388,835,107,
826,754,306,324,188,016,813,059,188,062,503,937,036,067,395,984,751,263,463,
005,633,453,669,989,021,681,760,156,864,115,026,990,684,574,208,050,427,470,
465,983,479,875,405,012,523,698,852,029,117,264,479,647,833,084,561,202,842,
904,968,650,861,247,435,974,680,266,658,500,126,928,747,033,822,987,840,583,
689,731,319,417,880,496,025,785,185,183,091,827,701,582,587,703,564,320,166,
477,052,663,958,271,043,112,008,001,334,934,928,729,970,892,690,083,757,838,
198,803,884,768,439,085,468,792,470,104,554,043,420,573,037,818,395,342,465,
437,915,336,178,915,766,935,585,545,821,032,678,449,845,825,529,939,703,223,
018,241,488,947,439,840,657,561,423,192,420,140,458,247,003,809,524,373,982,
694,000,456,166,807,023,519,285,818,817,941,529,604,656,910,221,016,944,965,
484,891,363,567,914,651,223,848,912,792,613,334,194,963,641,745,679,495,630,
230,841,853,588,851,932,307,918,252,323,416,145,616,608,704,847,407,697,882,
216,983,667,943,093,586,106,355,827,229,610,727,120,088,670,700,285,984,402,
676,010,940,896,939,230,357,412,074,655,618,850,351,248,537,951,041,347,129,
740,233,431,233,894,715,772,134,599,576,036,949,309,472,643,745,428,160,046,
958,853,089,841,045,062,885,521,797,653,219,483,634,923,006,957,771,935,060,
924,514,224,950,790,210,456,602,987,845,315,685,534,078,183,693,270,585,978,
321,193,107,381,160,471,184,740,159,078,218,335,690,310,479,390,618,544,608,
767,069,870,592,456,569,908,971,354,120,487,008,421,552,824,815,162,342,553,
560,627,830,959,272,101,157,108,139,094,603,505,621,417,234,937,308,017,204,
291,393,145,495,766,753,529,470,159,955,547,214,825,183,005,668,167,032,353,
554,120,863,355,959,810,215,375,989,765,442,335,851,084,235,435,493,103,522,
889,027,549,080,255,988,955,951,770,662,145,976,037,658,601,504,732,920,701,
517,281,165,658,587,270,422,918,314,394,718,180,276,222,568,247,716,144,470,
461,643,449,065,600,260,499,431,762,494,240,130,258,771,585,608,122,196,218,
642,339,624,683,838,125,728,729,879,959,247,313,961,974,901,255,584,511,677,
382,361,777,310,555,173,250,723,940,059,708,991,370,081,084,835,797,495,142,
276,593,170,245,064,787,746,704,033,430,853,737,502,343,244,544,584,317,394,
714,153,875,399,419,650,432,263,564,857,486,091,735,595,139,227,002,310,107,
575,479,691,184,122,976,349,496,816,026,479,608,047,774,750,065,873,176,624,
241,833,943,112,270,403,176,182,456,479,795,392,413,163,233,649,793,613,378,
835,782,798,234,042,805,402,063,880,330,225,623,047,837,938,308,575,989,578,
254,489,005,917,677,852,748,337,092,476,259,366,434,780,325,356,632,704,687,
601,483,750,759,838,206,328,249,002,996,240,231,081,732,002,777,453,164,981,
313,509,241,590,649,778,976,561,336,130,388,983,956,484,782,009,350,543,545,
584,158,715,227,965,440,688,123,135,800,016,409,171,105,283,869,145,174,273,
826,815,369,008,646,956,699,090,838,139,802,497,470,686,808,856,224,103,675,
058,767,352,578,343,101,919,833,544,170,865,932,949,561,547,164,917,386,419,
409,334,544,602,373,388,718,234,429,345,804,180,058,471,535,721,626,467,040,
125,821,069,235,999,319,724,209,936,598,657,722,026,022,466,297,018,958,371,
077,160,701,422,240,462,815,523,920,877,035,916,280,604,198,601,270,473,308,
146,548,525,074,808,873,318,907,989,277,953,434,736,990,480,056,284,781,997,
492,533,880,452,010,020,561,846,545,490,230,308,910,084,410,220,123,838,177,
415,975,755,972,388,280,340,360,926,657,652,068,968,629,272,283,467,703,399,
255,738,495,431,003,573,746,614,393,806,414,264,739,637,848,257,300,217,775,
967,564,941,173,778,951,427,214,098,972,454,188,402,915,390,870,241,614,303,
686,286,342,537,216,427,697,321,800,073,382,356,278,490,645,652,261,868,804,
812,390,399,542,478,056,313,730,925,631,909,672,980,463,431,010,977,575,893,
386,718,408,160,543,505,225,868,684,248,451,871,445,516,808,023,533,213,248,
747,046,225,306,847,701,687,462,815,953,375,016,837,327,210,074,283,127,299,
203,110,189,733,212,176,499,939,011,053,969,472,975,519,849,837,260,131,365,
105,898,172,288,281,687,006,559,731,786,837,581,936,197,980,083,605,174,839,
238,109,940,794,298,890,646,813,911,886,681,742,362,967,652,915,778,368,448,
608,167,175,541,022,913,726,670,626,158,948,896,149,198,221,324,792,648,736,
981,971,055,989,837,879,053,378,473,260,002,748,982,906,849,948,854,883,784,
767,310,897,094,968,421,196,162,479,890,674,416,168,507,031,093,191,484,646,
769,589,880,722,563,181,168,261,573,809,501,248,109,466,781,299,101,718,611,
193,720,743,095,793,708,474,695,238,330,676,856,918,315,582,258,878,809,514,
364,874,539,866,607,379,933,278,982,253,072,944,676,550,165,976,583,708,494,
214,781,694,857,244,001,532,275,090,033,288,617,508,984,639,950,052,337,639,
357,432,882,840,486,312,988,335,164,761,049,678,821,453,006,269,745,792,541,
723,565,607,592,932,313,954,830,778,864,960,852,931,650,965,760,817,769,945,
236,096,519,139,542,101,966,267,215,239,330,048,055,568,788,138,760,119,887,
318,361,377,684,450,503,025,053,872,712,019,094,427,177,242,135,071,136,508,
577,263,900,371,451,605,191,150,899,078,519,074,581,717,599,313,673,407,265,
609,542,955,378,784,341,599,863,982,865,578,660,224,877,297,326,350,676,539,
225,940,399,442,715,277,664,080,109,027,987,018,647,194,395,293,866,992,043,
016,955,013,756,332,411,110,806,776,354,616,453,986,514,326,991,515,979,164,
737,300,314,301,800,151,287,701,067,148,099,507,485,553,811,026,122,182,262,
288,884,309,197,180,954,693,069,388,762,902,994,057,301,648,548,830,264,620,
570,811,867,283,272,030,614,306,670,757,037,222,714,350,442,468,922,940,407,
589,500,863,319,661,231,193,557,105,062,839,105,790,178,455,488,691,540,005,
181,249,320,175,086,857,192,077,034,170,745,497,902,873,217,753,691,825,521,
110,695,775,186,707,321,080,034,136,260,956,699,652,848,076,484,189,543,414,
933,455,820,273,867,816,088,777,151,020,477,521,044,286,071,711,266,884,039,
831,662,896,194,743,243,701,557,096,561,550,169,748,414,917,242,493,364,708,
662,907,655,301,529,733,183,426,454,710,053,408,788,575,241,255,407,727,575,
464,854,437,639,730,353,474,277,246,401,285,949,755,236,699,110,986,710,981,
860,129,573,512,047,010,748,016,386,699,872,645,878,480,712,373,385,664,358,
871,544,609,462,338,454,420,143,433,450,985,152,135,343,394,853,693,800,766,
627,292,323,127,139,827,232,538,000,209,006,443,826,594,589,512,404,040,953,
019,362,001,922,270,933,627,633,710,067,532,355,533,672,625,759,001,111,421,
075,842,415,983,655,686,566,711,926,346,636,168,433,713,012,059,603,335,257,
962,222,684,866,147,910,558,984,783,672,741,975,138,682,359,229,004,898,921,
670,053,670,662,985,130,936,264,374,458,618,086,427,952,436,906,144,975,271,
704,616,657,798,631,475,004,468,609,406,730,720,491,508,271,240,987,297,998,
625,519,853,774,716,086,707,653,374,558,388,355,266,560,887,875,856,801,654,
619,915,323,022,574,540,250,601,040,371,876,110,330,426,062,194,591,266,687,
088,293,864,362,568,678,546,652,836,734,520,696,180,830,973,043,319,453,337,
076,297,560,362,130,579,709,028,689,199,721,067,587,020,533,914,986,934,641,
663,947,284,404,267,234,628,687,015,927,551,098,068,973,900,608,938,114,919,
682,499,469,279,254,485,264,426,159,693,380,890,514,323,488,480,357,407,052,
169,922,608,848,795,877,560,431,215,144,675,409,998,741,542,221,204,316,801,
208,525,338,642,807,838,656,561,018,873,464,808,256,427,016,823,881,351,019,
722,781,484,845,803,268,270,571,645,698,641,576,247,671,297,584,681,746,944,
813,261,485,166,183,308,876,712,845,034,814,627,261,158,681,495,792,044,961,
734,462,531,668,420,312,262,721,585,239,711,297,038,771,042,079,457,182,320,
967,211,802,289,242,106,308,242,929,530,728,381,575,176,389,230,919,339,208,
671,195,005,144,207,190,386,578,583,551,779,793,767,878,285,530,413,063,522,
170,264,353,244,628,019,996,992,784,870,337,627,400,263,833,639,827,502,219,
634,597,077,373,896,269,508,640,623,879,025,511,802,304,178,797,618,710,777,
695,530,161,162,213,923,730,557,370,961,647,788,030,652,161,062,524,267,950,
676,700,055,329,577,747,095,884,450,195,909,078,203,724,917,961,377,828,136,
195,118,218,266,273,210,463,395,365,579,008,218,508,105,369,530,922,592,041,
055,463,360,321,117,374,532,174,786,811,321,771,789,440,479,257,986,379,081,
166,376,832,746,680,171,870,137,053,033,903,665,258,562,946,717,255,471,657,
764,845,806,635,597,819,195,361,384,369,194,351,076,813,368,168,211,647,723,
175,369,694,989,139,626,773,318,892,349,043,410,430,716,322,416,377,657,020,
003,431,599,764,464,433,494,099,008,976,008,242,015,430,847,063,934,687,581,
485,561,883,710,062,456,120,764,239,728,878,375,393,645,619,558,841,736,143,
821,614,231,831,264,635,073,320,905,310,182,453,067,747,941,151,377,335,812,
623,192,843,663,440,984,282,156,471,293,785,298,433,200,087,108,846,785,384,
391,251,796,951,446,693,490,465,571,136,689,852,798,742,089,319,711,096,385,
283,621,759,592,845,801,044,106,606,007,542,722,880,618,286,555,012,063,938,
532,348,625,041,923,749,072,693,951,533,039,138,884,085,345,762,053,746,534,
257,399,584,993,407,521,671,917,510,351,380,226,826,536,118,765,845,819,224,
586,639,310,810,757,619,234,448,382,992,899,424,986,791,001,949,523,583,452,
340,332,871,764,599,847,143,504,053,418,692,807,422,901,370,058,492,903,937,
399,017,980,448,651,845,170,571,138,439,333,231,563,032,827,545,862,924,157,
167,326,863,775,918,974,139,487,245,867,136,967,834,879,624,998,822,068,512,
836,520,278,451,026,596,756,884,748,658,521,938,371,179,794,234,605,915,007,
864,575,588,021,115,932,515,179,834,590,933,836,994,364,661,578,240,307,656,
302,884,466,592,984,044,977,959,991,151,137,116,886,698,989,895,246,093,954,
479,778,976,129,281,372,190,073,919,555,901,621,767,687,375,893,574,015,522,
567,462,007,111,936,162,041,010,600,900,576,715,051,408,059,158,368,786,280,
693,529,739,625,826,729,772,642,100,261,082,376,792,274,145,122,485,966,363,
350,875,858,219,083,748,257,837,664,309,751,753,150,223,519,985,630,304,752,
989,805,285,364,501,659,969,676,637,454,080,077,515,079,485,267,576,303,883,
946,386,655,450,270,976,270,132,799,294,911,233,723,497,172,883,953,440,740,
169,564,499,693,659,266,760,526,189,772,714,813,750,566,531,719,289,311,558,
465,981,541,713,135,520,952,263,260,066,176,633,041,285,268,652,460,528,515,
502,911,630,673,006,457,330,446,742,363,656,116,416,108,549,024,906,786,446,
678,809,164,715,820,092,152,249,130,667,073,739,801,451,300,481,739,180,539,
686,171,433,450,619,961,751,010,355,074,102,304,048,136,466,138,457,829,619,
228,333,434,870,271,254,559,727,191,301,704,772,086,065,080,189,218,516,255,
879,260,341,925,166,966,948,277,294,832,051,045,185,376,688,057,573,093,479,
185,559,210,437,091,706,547,316,133,022,300,125,266,704,611,451,716,747,821,
571,198,363,855,245,182,773,555,300,535,816,549,302,924,909,156,041,323,284,
322,361,917,867,138,463,609,405,502,368,813,053,068,457,841,866,569,686,307,
879,724,262,047,509,829,683,666,979,437,340,984,793,564,597,628,644,307,794,
275,532,406,434,138,473,139,217,936,019,018,311,746,775,716,296,083,201,988,
940,361,898,478,562,733,221,915,871,082,752,192,564,821,618,851,233,994,190,
017,512,091,084,713,385,924,753,116,489,005,366,428,472,266,365,724,748,064,
545,492,584,935,740,001,868,605,118,767,956,913,086,901,970,992,813,615,827,
488,981,127,409,784,889,964,853,275,463,837,048,372,855,733,026,130,968,860,
475,766,089,181,959,996,093,987,011,600,705,199,266,270,835,608,293,634,279,
614,437,820,509,379,376,345,855,073,222,421,892,663,912,151,374,137,320,851,
406,568,118,720,620,792,303,321,651,449,502,769,500,971,530,129,491,070,094,
298,456,631,367,429,067,889,361,732,692,752,687,972,486,715,197,511,598,925,
430,894,541,546,041,082,220,827,964,890,656,541,675,415,474,461,612,590,412,
313,088,305,226,690,268,490,187,126,080,928,707,078,325,630,627,841,306,610,
005,478,797,643,975,763,956,103,719,050,973,356,484,571,951,642,837,204,517,
378,262,665,616,679,913,635,939,384,881,169,637,470,360,420,052,594,054,990,
919,490,630,761,314,160,640,147,581,759,629,417,868,457,779,920,989,223,448,
577,256,738,546,181,646,428,883,890,448,489,825,040,446,465,468,566,058,992,
739,120,967,449,470,623,740,312,141,126,480,794,092,345,187,043,772,156,608,
270,719,569,028,432,310,789,709,032,981,018,440,467,176,423,391,229,842,436,
621,819,876,117,148,677,387,882,908,141,264,684,845,334,167,388,985,749,485,
354,221,914,223,142,387,557,938,747,423,052,420,569,604,625,170,937,791,474,
131,772,798,933,591,521,631,375,360,187,379,268,308,254,681,000,548,681,777,
899,247,813,331,864,065,054,690,382,853,093,335,952,708,279,101,598,411,593,
548,326,595,305,113,831,664,505,224,645,873,882,851,389,291,983,604,856,463,
918,906,799,018,645,504,169,494,161,291,006,273,802,062,769,748,459,787,476,
120,291,990,791,132,668,692,831,520,888,667,465,280,751,248,580,292,410,021,
536,486,674,024,415,776,522,697,061,632,903,868,103,053,437,443,019,760,350,
565,145,311,736,486,971,549,218,227,259,833,117,750,262,941,418,988,151,777,
883,671,942,250,967,197,345,912,513,084,305,228,426,948,898,212,359,885,051,
443,816,897,446,205,443,517,484,883,544,082,875,925,699,664,827,377,143,090,
394,754,679,904,709,890,929,866,281,382,921,285,897,008,211,266,624,708,944,
036,122,102,412,397,422,119,664,747,113,217,980,839,889,790,914,331,100,205,
524,406,636,939,180,050,048,211,570,850,859,462,533,126,689,837,486,097,968,
667,165,241,136,729,254,584,013,121,457,138,288,387,348,314,457,893,786,788,
728,423,926,441,873,203,271,066,327,012,052,329,128,165,545,255,952,907,636,
691,900,095,953,640,844,335,523,854,219,380,191,836,375,295,924,612,427,612,
144,443,701,207,178,416,926,871,885,642,371,332,550,925,224,431,697,450,479,
601,820,017,777,648,024,455,733,758,047,242,332,275,971,135,083,577,215,013,
012,264,170,307,332,566,150,025,066,977,237,228,782,839,530,837,975,295,761,
812,196,412,093,450,080,593,588,559,921,264,760,169,571,917,357,441,567,256,
294,667,048,620,245,906,913,231,316,929,324,570,427,658,561,382,426,704,174,
890,467,407,508,341,985,632,213,705,453,524,388,094,211,934,698,032,062,625,
586,978,804,250,358,353,510,311,390,216,978,793,414,353,350,469,352,889,579,
496,374,208,316,937,773,383,475,336,309,518,868,049,359,006,162,621,220,778,
761,853,522,631,223,692,589,826,848,174,289,562,653,603,953,865,247,348,032,
849,935,108,257,237,036,370,927,718,838,130,333,068,139,494,143,938,970,247,
039,026,874,672,730,164,933,337,682,075,291,674,655,494,799,962,608,178,217,
441,916,549,152,428,069,755,215,162,955,655,417,197,406,979,011,462,910,160,
336,565,970,215,459,531,182,879,184,691,697,797,934,722,692,614,064,654,398,
556,121,427,638,135,743,130,868,888,508,526,932,500,920,365,605,011,176,206,
707,425,744,883,745,262,171,492,901,761,936,712,626,626,891,771,574,245,207,
586,453,928,426,248,263,133,128,708,732,383,243,967,873,851,475,794,309,379,
610,899,572,819,430,151,500,475,215,540,870,634,068,215,446,280,416,542,591,
231,992,563,446,519,498,554,582,521,696,124,031,080,913,796,202,031,457,280,
824,885,716,019,116,370,533,286,496,678,283,542,182,629,437,178,901,672,566,
424,421,535,157,651,979,326,470,796,466,163,678,723,337,291,427,015,481,465,
659,022,205,840,300,600,915,543,895,995,971,228,246,805,333,661,828,732,915,
388,012,891,988,024,055,396,837,394,039,147,579,338,769,212,675,485,105,504,
993,506,658,575,401,177,846,454,939,042,788,938,903,945,267,026,699,474,607,
310,028,499,488,577,477,350,708,591,377,121,773,948,395,087,946,266,176,741,
137,317,090,215,173,218,397,459,245,220,883,769,120,841,426,139,456,599,448,
596,171,781,980,806,459,031,343,541,887,246,103,028,168,631,811,368,564,119,
332,732,193,476,200,978,065,952,756,630,758,108,973,946,585,568,684,413,361,
191,026,767,477,195,415,084,246,498,244,230,164,917,806,237,563,750,669,155,
211,149,091,845,325,401,907,608,580,052,340,835,726,615,161,172,210,637,055,
159,283,287,927,209,053,587,713,716,182,712,352,625,502,182,758,554,475,380,
415,983,902,071,712,182,299,437,417,127,395,046,458,173,566,298,980,404,108,
943,582,113,074,739,144,429,463,470,399,972,412,219,114,557,667,133,441,192,
525,766,980,568,753,143,233,021,052,494,635,021,016,266,555,110,106,579,637,
829,861,688,216,131,832,200,743,300,800,228,241,758,061,919,463,270,432,370,
468,569,179,605,796,188,885,153,271,477,744,603,747,312,593,809,902,285,060,
190,369,758,416,314,011,586,293,238,436,219,454,760,588,052,695,091,764,634,
304,436,452,366,527,673,414,442,638,795,136,016,351,927,411,787,715,078,537,
664,610,399,602,549,219,447,976,603,368,714,545,800,979,523,480,789,084,102,
928,954,123,466,161,583,959,566,164,749,573,414,699,504,959,366,028,355,261,
508,764,683,043,566,379,168,560,789,254,121,582,341,045,670,363,486,634,571,
202,446,885,216,587,128,453,874,378,512,592,496,654,687,147,356,271,497,174,
243,688,479,176,383,257,875,752,674,809,210,776,524,803,472,337,230,861,699,
959,106,973,740,616,172,922,494,583,481,560,527,039,932,693,072,834,451,387,
524,816,920,812,293,915,965,924,156,193,519,079,496,845,735,247,011,394,602,
690,972,325,713,405,494,197,289,468,201,271,128,740,739,909,584,341,729,501,
675,123,624,829,322,173,794,803,497,682,463,091,301,320,985,901,993,862,911,
687,156,324,124,589,181,431,373,434,468,434,057,266,203,539,462,603,366,812,
827,394,863,774,149,004,582,388,355,720,208,493,917,546,834,425,744,215,167,
472,479,530,833,697,688,669,440,104,413,222,171,561,941,813,233,982,737,987,
010,267,630,901,887,500,562,528,238,302,496,271,058,448,161,780,143,646,525,
990,264,904,816,357,918,509,515,379,521,472,470,749,494,135,697,251,157,578,
878,935,554,837,111,595,104,125,869,572,646,969,071,141,568,252,572,200,586,
827,125,444,789,950,318,909,441,739,331,027,249,490,975,652,009,686,892,431,
598,774,294,886,681,123,576,454,357,499,403,491,444,254,461,708,487,252,087,
869,322,825,300,923,560,354,389,909,041,406,068,905,535,835,713,992,810,204,
627,851,938,375,786,590,869,892,181,145,417,423,152,254,923,646,060,447,166,
534,269,528,950,033,981,090,968,887,665,733,003,630,449,913,095,941,413,057,
956,156,690,909,497,895,181,748,156,738,227,954,201,436,000,247,033,913,654,
544,733,016,397,676,921,009,697,666,351,591,023,644,910,403,436,520,984,422,
790,180,456,368,107,142,348,862,831,811,545,600,855,933,736,078,505,135,676,
459,677,781,331,026,140,433,119,081,476,481,030,082,287,806,556,887,916,617,
376,522,709,464,384,434,907,838,325,736,981,584,194,945,755,977,534,785,459,
086,453,577,422,894,840,551,147,375,548,606,822,362,295,440,173,528,477,660,
282,276,598,172,137,726,037,938,603,316,013,396,606,061,707,420,471,272,153,
726,311,059,255,799,905,653,972,926,481,714,548,883,261,683,905,908,303,974,
568,198,064,487,055,919,810,265,958,204,485,746,280,198,493,491,655,108,216,
596,902,585,412,372,018,061,967,401,456,205,144,484,890,596,654,065,498,240,
788,652,533,961,038,052,790,129,590,238,912,703,597,112,611,341,908,308,612,
754,204,452,371,608,010,726,253,176,514,845,777,647,579,939,967,075,919,361,
306,612,287,303,108,829,402,932,665,722,348,721,111,543,807,274,921,172,550,
191,484,615,096,860,907,936,954,956,626,526,259,511,074,640,548,921,522,231,
269,203,396,644,929,149,977,472,740,113,149,799,708,607,165,349,893,916,653,
324,623,235,928,639,136,295,482,145,914,444,903,072,797,869,340,287,134,259,
570,850,345,434,711,582,848,626,126,657,572,914,441,342,652,482,740,463,789,
220,813,034,964,108,130,707,531,855,671,141,943,298,731,586,875,074,310,444,
822,403,052,808,320,689,760,635,582,563,907,683,883,840,474,675,899,441,772,
685,574,246,152,016,329,502,584,527,297,758,213,559,833,597,141,944,055,487,
672,922,379,568,721,313,169,793,289,299,515,053,050,903,696,050,141,735,603,
153,300,690,741,669,600,578,750,024,924,514,251,448,499,626,502,039,277,738,
872,382,609,828,295,810,332,420,783,907,106,140,706,661,776,239,234,992,421,
787,372,410,144,715,122,053,620,036,284,147,794,406,598,236,468,212,171,349,
457,839,654,557,571,015,577,769,944,344,856,061,283,136,454,521,074,710,926,
625,625,836,980,752,568,469,940,674,935,827,819,098,876,741,057,129,418,456,
542,093,310,546,501,661,365,978,411,797,658,153,292,585,233,655,125,002,152,
025,375,373,726,930,236,364,923,078,413,577,168,232,224,441,533,416,781,008,
112,687,555,920,090,276,677,896,310,608,600,446,336,145,109,188,387,812,685,
335,593,393,705,135,096,407,663,238,487,945,771,264,596,163,364,373,039,499,
112,078,207,372,212,099,246,544,465,236,997,344,178,328,589,841,181,883,991,
951,079,898,831,941,809,133,755,779,367,097,395,632,338,996,455,349,781,777,
017,227,322,756,995,233,326,592,927,764,637,878,170,387,903,644,230,595,755,
897,909,536,187,776,291,427,625,050,163,684,538,010,889,689,183,513,072,387,
926,160,687,838,880,514,008,192,309,811,622,151,028,613,980,525,502,471,886,
002,022,107,310,316,655,035,335,108,325,185,695,283,640,974,342,964,621,260,
312,774,509,371,702,094,017,146,290,498,818,991,536,313,895,845,930,076,501,
559,404,654,237,985,306,497,274,142,455,493,305,975,322,147,653,606,171,194,
239,966,730,348,454,055,579,059,765,954,953,189,736,291,823,066,434,458,355,
543,124,139,775,531,809,727,345,518,990,011,502,922,227,069,008,052,766,072,
945,549,184,534,205,481,007,533,571,025,022,154,528,523,116,699,831,445,758,
259,066,854,731,272,980,057,952,689,531,026,337,000,727,397,049,888,141,542,
765,684,602,903,100,618,883,735,974,178,212,084,848,917,116,580,880,222,860,
413,251,108,885,558,146,066,964,548,141,357,739,243,387,705,500,829,437,771,
445,671,277,663,663,141,013,640,898,248,957,441,438,873,510,702,714,642,443,
596,948,850,093,396,630,793,576,710,942,634,740,125,864,325,793,036,665,112,
063,937,916,141,026,447,081,906,277,921,418,565,643,867,076,505,268,852,778,
607,497,250,335,416,236,797,155,250,351,870,771,766,149,614,841,839,790,968,
934,259,265,355,599,550,281,840,085,978,415,887,385,415,858,740,757,575,505,
419,583,133,896,627,994,382,270,395,638,824,527,708,187,727,432,524,365,923,
391,037,275,483,740,952,559,759,011,926,619,494,651,800,341,261,903,533,393,
293,252,580,723,351,319,395,414,502,610,628,372,999,985,199,967,456,566,747,
558,468,852,069,686,932,422,516,870,571,117,835,401,637,499,958,728,831,171,
060,413,357,578,806,747,164,682,192,065,693,355,463,638,818,253,288,551,046,
745,776,264,323,153,592,574,653,303,020,550,217,637,735,247,250,661,516,457,
011,260,589,500,879,870,745,055,101,239,851,267,005,896,105,736,177,280,221,
710,532,373,576,059,788,049,044,492,320,938,453,101,726,778,849,836,151,847,
906,446,263,951,667,062,176,843,089,314,554,520,183,568,341,854,519,792,944,
187,507,592,900,067,662,388,036,566,196,347,653,135,538,897,903,188,502,752,
991,888,815,342,389,669,083,043,663,257,555,369,737,537,497,535,163,647,103,
052,234,497,668,214,722,549,129,710,826,161,293,369,322,462,573,509,613,666,
173,668,093,178,647,709,332,911,727,349,358,082,898,882,465,148,493,726,919,
480,759,017,154,334,713,203,464,925,286,574,571,160,637,026,109,746,930,767,
966,852,235,195,237,212,248,271,399,425,437,583,564,262,538,429,727,162,497,
902,740,391,169,845,143,543,290,292,554,333,476,383,240,305,316,176,773,325,
452,728,749,526,278,387,646,370,905,458,487,202,831,696,172,939,427,507,981,
932,802,492,067,808,572,606,773,118,429,558,843,232,552,217,877,385,637,213,
900,957,829,997,945,186,583,737,442,195,280,810,845,798,849,388,708,771,190,
810,729,571,723,427,802,195,692,783,631,318,828,299,489,899,783,501,193,147,
430,395,918,568,206,419,778,627,376,547,616,340,190,037,713,764,562,748,575,
869,661,350,643,891,854,487,162,091,393,612,692,477,065,862,228,433,178,340,
232,202,882,784,233,390,506,862,468,078,701,676,869,340,643,546,570,570,883,
819,228,015,495,180,929,035,377,022,967,934,569,400,661,897,720,280,182,024,
447,450,813,204,339,586,888,925,883,431,649,814,232,934,282,255,201,628,354,
335,789,572,842,016,353,162,736,608,182,395,715,160,507,717,883,444,304,150,
908,778,876,472,351,599,229,109,151,097,623,122,040,086,568,964,209,605,610,
566,258,510,170,529,910,199,597,689,728,461,885,436,105,085,535,491,964,900,
857,076,465,916,487,090,577,477,533,520,863,275,106,493,905,849,971,146,832,
146,298,087,450,372,398,012,307,472,575,351,871,932,216,604,153,899,822,033,
349,860,507,550,047,482,162,931,390,526,629,463,817,030,519,929,246,462,041,
097,015,310,151,399,392,126,434,726,640,286,629,908,294,270,550,173,625,282,
978,661,982,254,155,716,450,667,588,808,671,991,982,437,594,974,017,235,077,
201,745,852,101,052,850,984,513,699,558,576,694,744,646,575,610,105,412,687,
731,239,901,781,752,347,731,261,392,351,190,196,726,960,380,474,413,223,405,
850,876,562,755,309,271,129,069,354,892,509,018,174,642,224,056,075,686,067,
205,481,480,056,260,382,198,724,890,920,369,180,557,735,289,872,262,890,877,
086,343,158,026,440,306,876,963,538,735,863,942,947,998,188,936,628,484,432,
274,070,138,342,404,407,173,263,637,762,623,010,627,585,219,037,878,960,949,
416,334,003,680,574,481,438,029,819,276,366,172,443,379,337,494,874,654,413,
333,184,163,267,390,413,417,274,499,336,161,616,293,359,101,095,924,674,274,
020,863,470,377,973,379,187,942,652,461,332,837,596,090,615,961,051,762,774,
500,799,954,580,532,515,795,241,189,337,332,945,979,780,208,807,056,546,508,
418,404,150,720,625,599,152,069,847,795,485,436,254,752,704,607,498,402,722,
431,893,064,201,239,580,820,610,529,460,872,646,231,649,863,641,589,989,745,
167,174,080,175,833,049,733,710,578,803,310,604,159,038,964,557,257,848,751,
599,057,566,275,192,702,501,596,210,191,830,358,879,225,324,308,959,599,669,
416,723,865,101,972,947,201,949,616,431,507,408,237,859,668,960,446,759,324,
736,342,865,011,041,055,789,565,631,587,351,828,490,732,947,286,749,018,469,
380,477,285,930,649,903,841,710,138,562,473,519,945,144,722,531,337,592,786,
361,055,601,116,825,810,079,784,453,044,339,179,094,887,585,210,219,331,426,
430,781,052,043,093,914,858,368,760,443,843,640,091,915,670,209,041,083,864,
835,701,163,598,965,554,898,127,829,139,974,262,592,086,162,711,650,035,446,
590,245,704,608,439,054,572,184,909,817,630,714,921,423,571,504,572,354,318,
462,043,573,260,529,888,642,150,425,013,399,049,198,303,736,859,492,381,243,
473,031,397,664,684,950,567,338,180,682,655,503,315,811,889,875,676,242,608,
325,786,540,741,968,005,781,662,396,498,076,783,567,816,524,233,931,978,431,
213,545,043,302,656,513,835,310,814,018,087,255,733,951,655,784,084,627,262,
727,792,156,059,655,112,104,144,303,834,219,741,684,654,149,057,196,092,519,
919,228,862,214,909,605,382,359,893,193,325,254,186,551,795,352,139,028,276,
429,569,846,359,991,591,391,185,463,096,919,744,256,024,813,708,456,374,363,
950,137,869,468,852,101,869,776,967,212,623,034,577,422,594,412,412,971,081,
667,816,638,243,854,095,940,409,566,000,577,208,551,266,392,232,252,980,971,
186,697,263,359,562,245,886,747,940,724,205,410,373,803,184,734,446,646,288,
737,741,726,364,663,626,653,217,628,615,655,929,190,854,902,517,066,752,411,
566,039,569,322,312,543,890,204,515,313,067,121,632,445,242,329,344,498,025,
250,474,007,050,635,310,470,782,353,945,513,241,342,600,134,145,989,894,456,
198,945,988,396,271,533,333,980,491,532,801,837,982,419,283,782,088,734,097,
628,503,734,690,298,565,740,987,204,514,506,112,774,739,368,910,369,147,411,
470,041,797,454,046,979,462,532,580,326,762,953,970,586,189,267,617,210,211,
901,073,878,397,607,273,475,282,461,307,538,137,796,274,868,252,139,097,236,
867,582,941,701,878,103,952,784,416,523,565,473,506,072,776,843,733,594,301,
972,006,143,635,615,045,292,374,086,114,415,826,681,785,998,660,585,385,220,
750,080,533,519,930,276,987,524,863,629,354,822,412,644,736,381,204,562,806,
571,932,137,576,156,132,276,509,372,501,759,292,158,079,001,390,265,296,725,
424,907,168,790,803,166,455,042,292,287,904,360,887,095,854,400,494,834,299,
281,640,087,217,149,492,573,072,482,079,610,099,208,504,969,733,661,076,071,
100,087,224,487,655,844,792,339,462,627,527,188,253,350,917,823,091,057,445,
764,578,424,843,237,155,364,178,741,831,917,427,036,947,077,898,361,769,847,
929,744,481,206,413,363,316,517,625,511,994,858,377,955,198,922,157,057,397,
754,088,097,173,022,360,728,122,189,378,599,041,981,173,791,817,196,289,060,
743,593,618,911,414,547,203,416,944,194,036,362,775,659,680,298,487,029,329,
138,752,064,794,927,456,278,095,558,878,717,728,252,013,564,060,912,237,347,
459,213,477,431,361,309,599,566,383,172,770,163,291,406,706,586,318,628,907,
124,811,843,692,492,494,179,264,518,123,181,936,429,660,539,505,038,866,188,
776,793,156,014,111,451,290,037,537,339,504,605,533,457,951,300,725,719,567,
815,585,795,986,512,135,237,491,480,912,160,593,762,909,013,139,512,244,297,
608,685,565,912,016,479,043,506,063,710,165,347,824,462,323,342,400,904,137,
675,440,955,045,799,765,429,800,809,806,397,352,279,453,736,308,220,622,740,
215,303,591,415,102,598,419,228,966,909,007,494,355,498,276,754,162,641,328,
506,136,890,902,007,826,057,074,587,836,195,690,504,458,454,238,082,600,429,
387,540,346,414,839,780,240,272,036,092,328,383,091,036,437,622,665,229,403,
775,411,653,542,096,859,951,690,336,012,534,080,402,058,104,416,527,718,973,
430,902,705,377,160,852,301,744,174,893,116,641,807,501,984,220,571,638,936,
852,815,738,715,155,900,745,295,507,610,906,925,487,270,620,526,517,838,121,
553,509,010,781,153,279,481,692,731,026,804,036,239,025,171,331,101,729,688,
950,249,060,700,086,866,553,204,211,577,788,301,713,985,965,362,175,817,189,
526,597,783,092,010,489,505,670,878,103,698,851,927,845,043,822,904,948,623,
257,694,909,865,125,902,416,889,611,957,583,138,577,213,205,227,509,769,345,
841,720,454,290,370,026,760,697,392,435,814,028,633,977,529,517,972,023,782,
483,759,279,296,797,461,264,521,751,843,985,171,371,218,742,168,490,390,428,
403,430,040,509,655,452,003,965,655,074,454,916,101,307,931,458,263,589,012,
909,985,701,842,970,167,855,222,832,915,700,111,049,733,126,085,449,258,425,
382,243,208,348,746,594,627,212,515,313,056,180,887,954,848,998,143,373,601,
416,524,155,155,437,197,895,157,082,650,186,352,553,412,832,652,643,583,143,
992,180,576,815,727,946,202,274,965,771,753,994,296,575,259,637,089,574,303,
140,919,951,253,601,021,557,144,358,089,546,199,219,442,654,085,924,923,233,
058,058,018,123,829,515,399,726,271,969,431,040,181,769,844,759,606,327,553,
174,169,599,164,308,040,590,319,395,115,908,556,338,321,675,836,629,561,282,
305,385,555,730,529,064,933,587,834,349,746,727,580,688,940,456,410,777,030,
176,033,596,115,776,075,271,172,369,476,182,495,487,533,092,442,975,837,137,
200,884,149,046,804,132,659,323,217,590,516,453,573,375,249,542,114,124,039,
283,842,410,071,503,138,244,012,332,736,088,010,361,974,300,956,018,494,091,
777,026,861,800,168,410,298,073,470,925,054,355,720,991,874,503,454,994,143,
059,999,758,773,906,593,958,903,567,280,285,473,873,356,643,053,217,660,205,
764,077,068,469,826,773,823,122,640,197,373,448,394,180,626,195,133,579,727,
697,500,990,187,333,106,008,750,453,415,169,425,685,356,681,200,795,630,854,
165,119,961,875,174,852,274,227,055,413,176,939,106,469,808,047,987,624,308,
762,350,629,495,738,359,500,166,265,268,148,017,438,608,104,651,387,918,989,
127,521,969,815,502,258,621,097,789,875,550,365,154,179,328,892,568,269,021,
674,231,291,560,389,995,505,814,396,577,075,627,340,347,911,818,113,877,381,
729,876,897,447,144,284,597,212,400,125,399,010,422,625,007,363,021,649,350,
122,120,535,087,065,470,557,322,248,831,490,318,310,463,645,753,131,835,181,
375,329,118,790,026,316,346,017,551,390,108,814,272,702,588,671,319,922,537,
050,518,085,047,230,215,224,524,533,781,775,161,001,654,973,842,325,940,978,
803,439,907,243,567,699,026,338,733,299,403,539,816,600,255,606,663,959,355,
745,946,108,111,970,340,154,285,390,422,520,802,018,623,432,081,260,423,213,
175,454,485,201,495,998,392,681,076,550,147,117,097,506,802,475,187,179,606,
312,503,006,968,021,022,809,124,990,533,379,338,576,597,858,690,469,499,795,
650,004,509,556,654,558,002,288,406,122,659,521,757,473,381,404,470,507,516,
938,804,919,782,067,661,683,139,974,040,618,551,618,874,834,068,690,236,930,
574,067,837,372,608,637,530,154,334,507,958,124,266,304,522,894,610,593,821,
421,871,656,193,327,403,450,880,672,710,306,359,217,169,606,245,257,824,546,
269,329,321,223,801,368,558,720,866,544,896,593,659,365,181,599,563,296,003,
241,308,531,683,267,728,904,396,037,860,181,496,419,437,719,435,930,836,730,
188,502,394,163,803,677,035,619,128,944,290,279,454,255,658,391,415,654,944,
997,258,361,113,917,658,313,488,445,053,812,304,105,734,212,317,192,561,866,
763,901,620,444,719,958,818,560,345,714,657,581,878,880,724,418,623,284,846,
020,023,808,019,542,228,173,707,359,693,931,949,112,261,477,755,856,158,744,
958,981,386,014,241,182,289,619,178,190,990,747,615,289,932,118,425,965,037,
024,528,946,690,806,378,762,267,172,519,390,193,153,356,476,077,687,299,242,
007,533,656,062,849,569,853,170,037,591,085,659,951,572,938,173,616,624,670,
646,654,612,014,010,862,833,694,586,471,303,801,266,027,670,035,841,801,801,
153,105,280,699,374,585,821,988,372,420,579,838,620,904,559,616,658,798,602,
620,134,177,806,076,539,863,849,137,896,351,533,506,523,902,344,464,626,397,
645,604,730,414,593,316,338,559,317,728,667,215,682,289,405,453,626,859,081,
601,489,354,812,854,678,489,655,282,113,618,398,580,213,213,548,676,173,999,
873,229,139,463,405,366,031,356,967,751,987,833,523,854,716,139,186,720,162,
568,325,393,202,275,826,483,729,972,157,100,772,766,176,748,953,802,638,310,
555,706,710,705,259,302,662,886,973,505,375,300,830,974,529,678,955,641,234,
636,239,303,252,210,055,031,622,641,065,314,567,914,376,699,472,851,209,366,
938,937,612,311,139,838,394,003,073,032,102,410,290,872,715,802,856,796,618,
076,934,605,357,059,985,012,773,825,868,603,407,815,819,258,239,146,112,765,
489,469,900,432,655,925,354,891,065,135,068,425,185,267,680,015,215,930,010,
072,893,314,772,938,270,559,877,495,860,975,658,864,148,320,804,786,071,541,
884,549,914,585,376,577,192,022,172,568,810,221,203,484,607,499,180,820,827,
763,358,151,964,361,617,031,087,900,076,863,325,055,255,782,644,865,616,201,
236,609,990,546,615,750,392,200,166,428,711,556,251,948,999,353,641,310,770,
324,004,421,118,851,864,391,640,892,167,610,599,533,656,175,068,720,315,963,
723,536,899,915,053,191,410,035,714,978,007,544,833,793,523,497,787,678,172,
761,639,962,666,308,677,074,953,458,885,806,728,107,574,531,826,273,071,401,
138,518,094,965,034,271,610,661,009,828,892,549,045,886,910,312,877,175,431,
241,719,805,147,338,109,722,619,786,099,703,433,330,190,655,767,622,611,007,
226,257,645,974,279,620,690,313,302,380,799,227,263,558,946,723,128,631,493,
089,629,510,034,927,292,732,849,513,204,042,981,037,748,496,163,246,166,444,
683,020,827,657,376,875,667,128,521,377,516,345,130,017,071,458,187,370,749,
562,730,469,890,444,589,149,022,021,312,984,292,873,685,279,651,595,283,744,
949,485,777,445,818,205,398,402,515,937,502,547,645,872,456,977,368,727,607,
459,947,900,376,474,891,562,576,221,175,005,946,967,341,950,356,459,985,078,
466,405,558,681,300,042,214,347,718,750,667,327,154,195,021,986,604,105,380,
557,394,761,538,153,956,849,629,399,256,808,154,955,377,995,380,752,134,532,
647,002,353,711,012,732,103,047,922,683,035,399,686,066,387,466,031,442,809,
157,798,157,604,242,010,194,340,277,945,858,429,708,056,247,535,574,945,117,
350,776,794,609,091,780,397,191,862,234,380,700,108,491,639,655,841,290,556,
279,931,706,432,426,565,875,630,284,340,684,762,510,581,203,871,475,297,842,
793,389,979,674,780,740,535,048,866,757,957,839,463,871,188,594,213,064,678,
532,158,058,071,463,045,817,029,315,680,710,179,954,424,877,113,431,093,282,
833,654,649,789,227,067,232,620,273,459,277,452,200,939,195,651,730,069,060,
465,767,597,654,270,570,937,851,034,806,780,211,843,025,242,672,971,222,095,
873,681,813,842,481,535,905,056,419,749,585,977,390,423,044,539,905,469,733,
835,648,496,810,245,455,708,216,097,974,717,963,436,374,580,238,109,622,445,
431,172,599,373,043,866,606,519,172,731,368,408,414,402,488,683,974,858,695,
595,722,945,391,600,687,079,955,439,491,527,396,270,847,793,620,906,167,264,
520,475,031,614,754,755,230,841,040,167,774,744,160,823,745,466,032,411,823,
544,276,357,005,387,146,818,617,779,307,000,527,274,448,364,366,397,693,545,
591,001,022,429,243,491,555,692,229,340,884,597,157,767,290,144,284,773,875,
861,863,138,210,124,645,881,878,124,164,434,238,280,625,509,842,998,001,377,
652,898,341,106,323,835,201,669,583,480,767,937,655,015,712,538,293,718,012,
263,850,207,635,105,469,722,792,156,476,509,325,555,698,458,015,343,286,999,
547,154,782,349,441,710,919,575,005,711,402,853,219,368,076,110,194,925,021,
251,120,355,683,422,856,636,509,632,806,675,705,366,446,502,427,449,056,259,
002,654,384,129,256,760,362,296,794,401,415,911,143,957,919,018,147,942,049,
585,803,893,655,735,207,395,737,302,112,257,405,220,503,462,151,060,115,725,
457,246,530,986,667,672,543,828,051,314,378,900,536,342,211,318,982,402,052,
749,008,510,398,521,829,661,447,044,083,616,139,390,979,484,589,455,464,031,
746,558,166,585,989,673,245,600,564,951,508,159,119,772,382,910,695,619,555,
106,935,555,788,698,772,661,473,261,657,434,126,525,858,623,161,725,294,898,
740,102,551,354,230,401,386,267,963,874,766,412,048,618,735,465,915,539,339,
537,006,560,615,252,499,360,551,121,866,255,950,137,253,604,855,883,947,145,
873,917,641,569,159,364,087,870,720,756,358,597,343,646,515,752,315,092,210,
508,193,255,246,677,304,647,842,003,688,388,556,891,607,075,452,463,980,773,
797,626,667,013,317,531,562,207,625,040,601,862,838,511,980,943,725,165,104,
111,902,292,141,994,282,243,429,463,382,271,911,725,535,433,989,413,934,791,
380,791,608,435,272,478,306,643,176,918,554,810,659,445,079,564,439,304,958,
339,100,092,184,314,826,940,672,993,612,360,076,335,076,853,883,215,873,458,
313,460,336,947,807,333,223,698,017,855,632,992,319,386,489,611,636,134,043,
084,998,002,560,276,824,078,927,399,984,290,916,364,741,002,017,232,722,762,
296,232,314,715,655,479,246,624,793,822,868,958,670,358,042,987,288,973,070,
111,090,817,956,126,463,100,871,408,603,661,821,183,160,579,124,098,665,653,
499,855,861,403,993,763,351,400,496,814,636,567,102,067,414,638,812,304,484,
461,225,246,459,467,333,403,172,346,799,175,639,873,806,809,792,199,113,142,
808,795,032,761,468,838,340,163,847,265,128,902,778,094,648,562,918,274,345,
814,176,411,572,433,081,520,929,780,318,547,130,739,052,779,855,135,487,696,
168,613,896,094,278,021,630,437,371,424,919,824,435,694,869,365,276,131,538,
264,727,179,597,798,129,082,728,404,523,128,205,401,827,603,493,608,299,977,
966,706,967,120,658,797,141,890,607,496,114,885,052,268,734,725,158,377,138,
378,972,501,384,748,989,194,961,798,625,651,748,047,507,375,446,662,997,494,
932,388,861,376,846,114,552,611,670,096,690,091,649,184,080,458,626,686,274,
551,448,298,268,889,825,246,074,423,779,347,885,246,949,417,801,102,905,170,
817,466,940,502,909,029,576,748,221,715,452,427,854,872,190,967,741,284,839,
711,440,968,348,038,058,977,019,624,085,496,920,582,096,584,593,523,625,998,
047,028,951,876,644,116,862,967,074,787,526,069,421,021,124,266,970,189,593,
792,402,832,359,109,047,788,045,102,936,931,395,585,998,560,063,634,293,988,
036,221,712,649,978,831,270,362,393,447,151,238,232,580,514,013,034,309,795,
144,799,250,668,089,455,830,696,122,975,089,390,847,972,999,591,434,884,966,
253,122,510,008,654,159,216,871,560,572,347,678,648,349,751,715,860,115,831,
867,625,015,348,920,031,797,112,683,980,115,540,740,990,048,851,491,785,898,
699,524,221,662,234,444,361,145,245,914,488,092,053,484,411,091,957,858,710,
368,805,461,982,185,318,641,093,934,150,511,111,962,303,359,209,553,382,086,
364,137,043,855,484,130,300,924,923,890,911,338,088,815,773,478,488,141,414,
731,891,847,890,494,781,795,045,473,424,986,964,112,288,845,670,191,488,884,
020,318,662,689,513,483,452,287,971,126,516,549,644,014,901,901,283,321,086,
194,135,870,548,823,691,973,196,117,486,285,308,113,733,761,163,185,830,718,
418,688,723,160,121,871,282,536,533,058,796,817,859,036,072,102,303,619,212,
427,058,311,391,705,724,566,853,298,407,010,559,457,569,731,561,455,445,035,
049,109,725,457,415,058,640,372,643,343,511,248,794,218,111,782,743,959,635,
281,782,449,330,803,791,135,275,859,822,695,066,033,297,121,638,110,206,640,
204,227,874,694,930,144,995,956,395,350,172,552,267,649,003,694,408,996,238,
084,870,518,638,893,272,871,724,324,452,328,827,238,466,805,680,272,305,275,
604,273,485,778,880,156,386,453,897,229,958,424,676,956,677,977,231,409,571,
791,472,154,805,591,960,949,430,509,401,293,047,812,597,091,775,835,275,273,
545,732,193,529,177,300,876,337,032,201,231,771,949,871,871,481,858,594,368,
422,098,048,958,839,499,774,428,426,499,314,446,059,250,595,192,459,119,308,
647,692,264,783,114,919,965,773,412,593,494,485,711,132,901,541,021,365,793,
347,036,140,554,506,593,089,396,387,691,749,785,245,694,208,401,523,818,495,
683,432,822,220,528,028,630,403,667,231,365,769,488,948,096,054,849,312,347,
016,989,823,309,674,256,828,940,797,126,990,405,830,801,823,590,376,587,419,
517,980,718,963,339,324,418,693,468,222,449,275,793,837,544,305,853,859,942,
018,095,404,502,936,003,928,227,875,534,944,198,016,862,625,939,919,831,294,
581,569,211,282,304,306,041,007,952,470,745,733,252,197,496,339,496,941,608,
175,276,568,476,663,793,753,688,969,599,373,356,349,950,801,733,981,036,186,
180,307,278,105,671,086,081,004,448,505,555,305,489,836,414,370,017,474,401,
128,970,852,168,161,869,976,984,211,082,498,223,576,011,253,033,116,556,424,
042,922,885,315,496,608,478,785,196,061,576,543,672,176,453,281,633,834,561,
925,535,217,269,865,782,475,260,116,177,675,282,243,581,188,329,552,228,562,
258,998,326,831,925,075,715,889,715,291,866,218,890,735,904,721,070,357,396,
027,291,364,132,266,789,878,901,280,690,462,428,525,475,793,344,024,839,250,
667,885,708,635,119,882,533,214,306,646,576,799,417,633,778,311,413,036,951,
324,807,789,419,971,107,335,972,996,036,257,742,632,079,762,502,070,181,430,
131,181,745,842,686,096,845,375,336,785,695,015,328,426,293,246,818,703,766,
718,347,756,704,707,468,790,330,856,773,532,863,727,099,476,351,812,203,180,
850,272,273,882,389,285,342,034,604,657,041,357,264,653,836,207,354,975,464,
198,503,075,841,434,380,924,532,627,665,478,416,285,161,192,030,672,242,297,
240,651,986,652,931,245,895,670,713,098,866,626,403,736,086,260,459,180,259,
098,232,396,734,878,751,515,675,165,078,320,413,108,582,620,615,627,879,175,
409,707,839,566,771,406,783,724,505,961,601,288,305,152,573,545,336,123,718,
183,523,333,138,623,062,840,471,566,940,032,168,761,172,507,089,334,555,998,
382,132,439,682,712,710,569,911,055,271,461,474,838,357,800,426,179,129,159,
528,895,476,237,294,251,568,172,269,461,315,806,728,946,230,562,545,336,670,
590,746,097,381,699,052,792,986,706,355,361,724,011,979,404,899,564,624,235,
470,214,168,750,901,633,191,045,260,041,106,882,565,050,384,677,209,134,676,
064,773,482,114,674,869,928,988,391,954,722,580,025,348,615,778,306,262,275,
125,995,283,821,307,130,968,542,537,006,171,855,906,419,040,404,927,040,004,
213,620,690,514,317,777,145,518,355,540,167,092,709,832,336,201,774,954,177,
700,349,011,605,624,247,814,659,116,079,049,093,552,428,125,113,555,949,712,
043,651,674,457,510,452,646,689,060,359,709,009,227,937,876,675,215,555,309,
538,470,476,389,519,284,006,040,180,102,678,803,479,437,304,672,898,993,881,
400,965,541,951,808,899,648,934,223,538,286,084,216,584,085,616,601,336,156,
041,660,071,389,143,901,357,748,991,267,103,752,768,103,840,910,074,821,333,
021,528,309,269,656,808,726,544,859,723,872,787,642,302,703,433,778,286,338,
956,384,733,000,496,778,075,836,180,493,819,834,753,310,788,794,328,833,905,
470,891,905,541,457,224,941,825,728,036,941,424,731,572,177,041,440,337,440,
110,354,455,538,682,632,337,868,493,790,254,355,385,506,601,344,788,228,946,
894,246,065,405,415,449,945,103,374,781,708,892,177,455,402,953,789,442,330,
978,869,922,312,949,970,620,420,399,053,689,575,050,736,105,530,221,123,031,
430,077,550,423,918,183,952,019,301,821,164,552,876,475,241,428,832,297,770,
231,480,253,638,608,623,865,191,818,594,737,011,588,871,933,583,068,877,643,
118,630,496,111,029,188,421,867,874,047,523,973,630,093,201,743,076,016,835,
215,538,160,313,954,578,323,579,029,203,708,839,553,258,559,814,202,261,727,
135,906,277,825,653,470,231,938,993,550,699,638,919,192,551,647,933,900,347,
230,720,294,949,545,203,016,847,559,295,313,461,845,183,176,456,285,183,811,
729,959,355,268,585,464,666,959,919,592,603,644,282,546,603,755,350,233,744,
978,906,747,067,604,583,524,314,937,302,280,259,164,895,747,920,230,274,980,
254,799,346,083,397,381,927,893,161,037,316,601,900,783,777,909,762,454,424,
437,138,305,217,747,581,543,063,898,153,631,948,406,744,897,354,450,461,513,
532,167,807,973,005,197,464,379,207,797,197,613,310,695,534,833,824,839,159,
559,480,399,434,581,640,563,955,717,206,513,001,794,239,343,570,586,048,471,
006,359,465,016,040,591,610,466,263,727,017,793,747,176,227,634,254,700,740,
653,023,510,655,301,598,072,688,571,972,382,355,981,769,783,960,531,661,800,
222,231,633,014,025,996,812,658,519,572,052,238,227,687,212,380,980,222,451,
452,908,526,054,148,288,135,379,366,350,808,818,490,698,433,469,528,340,108,
338,229,141,512,174,630,858,711,025,163,538,205,765,930,168,309,518,794,854,
418,996,988,020,871,226,192,717,433,517,187,138,191,994,986,158,514,326,345,
435,640,089,469,689,599,367,118,950,693,097,747,278,121,399,068,299,093,207,
280,171,289,117,517,735,016,352,504,137,804,854,735,383,610,099,831,122,950,
719,326,672,133,762,927,695,048,484,981,195,223,223,062,362,488,020,366,663,
073,297,504,110,170,950,060,638,734,299,901,558,414,330,496,308,119,334,981,
447,415,095,059,293,535,884,876,989,040,822,271,023,677,778,338,097,991,578,
456,763,587,921,398,840,893,684,191,064,649,950,562,545,198,233,954,275,013,
434,036,168,347,096,502,364,547,852,729,931,724,821,257,652,874,389,309,235,
859,357,292,324,265,219,294,443,638,071,876,852,230,027,978,005,390,816,965,
145,410,163,396,877,457,614,589,515,998,322,777,797,499,795,908,397,369,310,
453,212,560,657,841,755,299,298,440,540,393,477,752,402,512,683,910,830,236,
143,483,132,617,533,928,803,659,678,115,224,760,814,880,082,531,716,115,568,
147,716,853,164,350,144,726,794,162,510,215,638,702,649,840,444,659,906,902,
282,008,686,287,662,184,138,173,748,880,684,722,348,066,287,252,259,292,176,
051,243,649,845,490,601,988,804,973,534,942,905,586,096,248,233,773,829,887,
765,950,425,325,449,276,089,309,776,615,688,728,942,934,113,577,121,353,853,
057,894,055,360,754,400,940,295,473,641,695,768,054,562,829,147,503,669,048,
671,221,505,932,320,976,564,838,421,933,711,681,429,837,171,332,331,856,785,
166,593,961,412,804,582,139,547,643,153,425,142,876,689,992,239,027,077,425,
073,308,280,477,634,381,733,942,446,192,062,755,713,787,501,724,260,115,677,
482,004,646,078,633,064,368,938,756,758,756,560,185,198,713,753,340,648,384,
781,849,927,104,282,667,407,627,448,078,168,282,702,174,581,846,284,083,909,
957,875,611,824,433,391,839,480,156,729,024,892,727,817,817,742,496,339,905,
530,499,605,631,904,834,909,719,725,322,751,383,504,173,894,993,347,861,236,
310,982,144,433,590,032,499,698,620,710,784,498,743,846,690,862,244,704,217,
782,365,276,370,565,926,018,314,297,890,849,834,992,384,652,006,077,382,349,
590,098,652,675,509,713,973,545,804,491,531,017,939,747,561,815,503,440,266,
072,011,196,275,289,512,631,790,040,171,129,065,697,360,866,365,466,343,218,
043,469,774,017,627,846,081,883,182,718,724,945,521,166,550,982,713,592,250,
959,696,166,715,386,726,747,097,013,028,896,983,793,440,384,770,226,185,390,
015,484,489,335,487,660,674,783,728,647,122,534,160,934,083,509,755,491,025,
690,743,292,367,277,397,176,529,917,727,731,776,584,559,563,686,672,505,775,
266,140,996,836,795,489,874,010,364,959,480,814,384,415,969,818,782,355,634,
507,239,594,297,434,993,570,167,377,382,260,335,390,985,167,782,395,489,471,
241,557,523,801,537,491,118,245,071,436,813,743,102,833,610,920,308,674,184,
722,655,984,974,758,417,141,326,657,287,035,933,740,208,936,642,307,161,358,
646,058,914,154,273,757,892,772,442,618,329,060,407,772,133,198,297,308,368,
943,444,767,416,976,053,183,360,113,337,374,523,922,585,066,750,125,341,848,
550,063,550,725,264,049,209,396,382,971,941,344,293,650,946,864,313,263,322,
732,481,723,081,480,094,404,015,586,961,372,423,090,187,769,222,244,914,011,
705,898,245,924,617,420,320,930,791,653,670,279,996,410,247,125,886,729,253,
944,672,589,806,169,964,517,621,330,056,251,348,167,025,988,285,972,913,869,
417,840,747,922,630,596,050,207,768,077,858,230,508,775,182,210,986,577,578,
279,442,636,304,396,144,737,077,849,178,650,137,940,663,812,569,997,973,110,
100,390,034,764,594,996,445,790,601,557,049,189,590,374,880,848,451,794,348,
098,849,599,451,177,417,697,828,427,673,896,112,173,990,498,742,579,528,823,
671,878,010,180,125,508,366,822,600,538,522,034,732,257,023,237,737,194,907,
024,135,788,330,122,701,082,155,034,062,914,663,966,678,976,645,043,773,589,
624,455,027,323,707,745,231,456,795,509,794,940,466,925,316,802,926,740,330,
900,805,907,285,245,632,014,265,438,775,037,700,948,691,197,318,313,272,416,
862,431,891,874,132,271,458,169,801,192,912,093,018,593,277,498,231,390,199,
756,928,927,209,775,869,720,220,283,978,267,987,178,150,901,859,965,133,622,
611,307,548,570,177,372,901,486,889,987,653,425,709,518,318,633,180,258,826,
336,661,587,509,395,450,624,869,750,253,632,088,596,263,530,628,791,291,545,
344,540,016,965,083,164,687,409,363,825,893,236,708,504,385,339,665,887,029,
691,867,107,789,336,120,537,916,642,196,552,241,405,730,929,527,707,279,421,
215,160,233,905,606,182,533,166,216,310,585,746,732,013,206,422,545,717,636,
898,947,948,100,227,980,686,986,585,305,562,307,925,440,403,625,101,165,659,
040,182,019,134,457,924,457,226,661,159,554,032,740,801,578,555,843,176,424,
030,379,325,002,130,287,577,188,219,415,649,759,073,983,559,442,032,201,223,
388,044,509,290,301,564,278,450,248,539,945,167,079,661,892,283,722,335,769,
192,819,134,073,344,358,195,879,863,135,456,776,775,373,615,654,736,589,718,
351,217,888,790,406,862,027,272,849,959,116,310,767,651,861,736,365,073,952,
521,504,756,661,500,006,687,884,943,542,021,207,164,782,288,729,631,064,935,
909,767,497,560,777,322,041,600,719,448,461,762,382,728,119,530,727,275,313,
083,871,689,267,882,739,753,494,796,662,003,385,434,902,349,811,071,506,115,
616,556,119,102,870,376,292,966,768,386,382,626,418,614,584,822,158,704,843,
282,882,658,748,636,291,927,389,010,369,254,510,389,485,779,099,388,586,782,
329,504,787,495,391,124,495,930,991,470,659,010,577,958,367,767,004,686,673,
219,161,027,439,772,120,467,375,001,097,678,761,319,863,174,515,234,415,275,
438,230,120,946,014,704,479,864,706,829,645,332,866,547,296,338,850,403,561,
300,345,477,951,992,557,146,319,264,174,556,700,991,801,919,775,480,704,816,
620,410,772,074,361,018,112,902,009,940,332,487,122,738,175,047,917,385,455,
320,423,069,218,962,164,947,612,741,654,832,026,831,583,656,740,353,501,885,
917,612,610,587,615,889,190,649,308,508,270,245,065,592,160,582,233,148,163,
249,947,496,021,598,913,812,519,711,256,036,228,908,534,074,244,199,932,574,
679,631,690,067,389,996,357,267,827,587,119,117,513,006,091,089,248,918,370,
942,423,288,097,615,323,048,029,069,480,467,981,629,919,151,682,667,186,422,
938,130,224,201,883,675,744,200,907,297,425,979,349,782,253,408,868,076,607,
780,669,677,981,558,430,892,765,747,298,333,147,123,330,182,782,929,390,240,
022,711,750,618,855,690,611,080,584,554,158,867,626,320,722,698,206,828,835,
696,657,006,335,363,609,609,453,278,772,695,339,552,397,034,326,020,164,231,
553,684,566,721,020,400,396,426,971,933,652,510,617,108,286,965,428,048,739,
606,840,479,602,080,908,646,444,611,568,977,374,261,061,569,767,389,042,211,
353,929,350,771,713,671,890,762,630,520,044,178,447,567,219,866,168,985,611,
949,476,668,449,198,505,877,906,704,427,126,004,488,225,158,045,581,898,147,
826,272,087,395,978,731,741,166,146,005,549,960,708,646,980,318,036,252,627,
493,253,889,477,033,789,342,527,813,135,542,759,089,802,385,737,972,229,943,
085,093,910,783,430,714,899,156,235,831,931,468,554,577,887,562,046,833,374,
152,190,116,324,376,426,193,224,240,850,705,852,230,106,981,447,259,126,580,
130,210,646,830,906,978,463,630,033,571,451,691,882,461,597,182,135,750,482,
230,867,884,798,750,129,810,703,923,373,513,467,790,842,565,111,305,353,109,
739,379,792,329,275,538,379,956,521,585,630,389,731,729,599,455,002,652,226,
686,971,024,629,380,282,253,420,405,000,455,829,298,272,486,925,031,876,710,
537,352,191,917,642,997,963,681,895,406,116,557,098,628,430,467,497,915,970,
834,141,412,625,922,441,697,619,465,932,595,902,051,784,295,578,696,443,245,
853,917,841,571,500,343,316,946,586,454,052,405,577,330,417,692,927,702,192,
331,297,295,403,918,463,222,100,471,711,678,408,386,553,268,965,459,610,939,
479,675,385,934,747,577,611,464,646,772,484,552,205,362,389,076,806,000,519,
128,785,695,332,800,200,923,902,467,987,439,942,594,134,428,088,595,118,016,
130,609,896,781,558,474,658,101,072,173,017,131,543,466,528,537,807,477,467,
940,503,558,377,661,293,708,783,322,815,610,200,034,330,636,621,344,217,369,
524,216,508,473,164,108,064,170,166,899,457,428,991,502,294,237,353,610,501,
809,702,714,785,951,856,886,637,559,210,584,195,542,876,380,879,234,230,130,
596,175,674,359,520,370,022,714,118,223,134,928,998,048,296,224,110,777,054,
384,901,013,293,293,835,584,824,902,881,424,112,898,300,079,739,596,076,111,
860,349,592,030,776,577,699,291,616,518,622,068,125,361,725,330,323,215,499,
264,476,232,858,655,398,555,471,848,305,246,302,349,253,338,638,769,270,803,
629,206,322,635,789,956,068,264,540,268,315,182,665,268,455,081,827,688,256,
336,858,659,670,166,798,548,609,858,973,369,707,088,815,012,467,756,321,574,
595,244,524,387,205,001,413,934,754,250,564,444,446,786,688,482,750,134,081,
833,817,645,318,565,330,908,194,087,192,027,616,428,815,023,030,759,620,006,
562,617,256,891,024,615,937,413,381,546,134,997,963,502,272,417,285,813,514,
410,122,130,216,781,246,202,995,139,920,600,751,648,852,598,449,335,719,643,
379,266,352,473,162,557,063,467,441,229,140,044,576,376,934,257,770,791,018,
015,016,194,542,044,597,440,261,169,251,623,321,170,559,361,152,041,941,145,
388,107,501,473,842,756,546,513,639,942,861,037,011,277,240,407,636,504,954,
189,596,283,653,861,751,278,562,286,443,164,251,248,257,943,852,097,766,250,
760,949,272,989,494,533,853,480,796,779,378,451,948,259,245,847,711,756,021,
662,762,278,558,171,419,453,883,711,577,070,680,671,302,497,423,746,955,318,
472,321,656,056,270,234,995,511,823,232,981,392,595,705,338,118,817,260,221,
652,508,646,717,720,193,923,626,808,010,623,492,034,269,524,181,353,409,546,
991,147,453,014,900,528,553,616,384,713,749,780,477,417,508,348,309,683,090,
963,656,005,697,590,933,770,066,886,851,435,984,014,026,604,557,208,444,222,
628,999,199,947,784,689,431,982,598,082,885,352,382,450,597,112,481,407,968,
587,947,638,474,671,982,415,709,004,590,800,094,001,999,673,848,866,346,347,
918,668,561,824,107,447,401,204,427,610,601,471,505,135,820,879,240,858,748,
986,004,131,723,557,490,865,344,690,130,429,878,315,708,153,853,829,032,292,
183,852,062,068,950,998,210,130,463,117,610,621,233,873,583,277,458,173,387,
269,176,599,805,104,242,073,444,340,485,994,100,064,132,681,230,933,794,816,
766,576,087,527,580,462,390,375,084,056,986,473,432,792,349,572,579,505,724,
295,107,844,429,699,030,527,104,023,394,759,162,610,041,859,556,496,750,289,
857,291,376,907,528,823,284,530,479,141,421,635,100,874,738,849,027,382,808,
348,453,783,586,872,669,049,268,671,354,702,376,206,986,679,809,609,743,558,
663,443,191,808,944,093,897,256,929,768,570,091,656,752,287,188,403,480,632,
479,169,370,560,599,509,525,960,297,459,037,976,260,688,477,416,985,104,407,
349,816,967,148,660,464,573,151,649,458,864,947,873,773,603,872,373,732,571,
629,652,899,395,542,064,988,480,993,902,052,879,831,686,602,315,619,692,362,
907,134,624,656,931,626,111,417,608,473,855,449,600,080,608,919,218,816,665,
475,996,288,767,501,472,549,876,997,413,182,574,562,547,403,319,019,173,027,
463,231,854,271,166,427,195,962,899,494,561,735,240,958,490,108,988,405,658,
504,453,273,122,748,518,536,777,422,223,743,638,301,359,362,946,367,977,822,
472,541,924,542,884,850,836,478,651,918,238,944,917,733,604,187,693,446,205,
919,225,989,376,182,110,341,639,477,478,391,380,978,820,154,889,505,058,738,
866,456,754,754,620,061,917,580,169,886,232,154,866,653,648,723,174,207,632,
484,158,399,755,225,399,454,117,232,723,574,474,976,647,887,730,235,024,929,
666,596,455,757,828,430,940,967,873,345,189,058,753,138,077,657,333,475,895,
286,802,390,885,386,516,191,303,487,332,015,002,565,186,679,033,012,461,006,
834,656,546,275,983,236,734,913,018,226,766,389,961,823,270,350,856,848,747,
006,604,613,917,492,774,429,844,767,196,003,698,640,373,881,042,412,124,765,
367,838,345,577,608,306,082,102,158,652,959,811,059,818,834,025,005,376,551,
457,708,815,160,194,914,335,294,801,645,936,651,653,399,906,032,932,277,945,
742,012,631,862,570,952,307,529,454,889,511,612,933,237,353,474,257,944,549,
663,242,572,890,090,370,833,750,814,438,728,621,646,029,169,009,042,844,892,
043,395,657,814,287,546,695,243,768,828,148,809,095,417,344,177,675,002,887,
166,028,621,397,215,352,577,892,694,687,651,062,597,786,054,503,796,424,945,
018,142,344,566,129,225,545,368,069,458,301,851,387,065,519,872,137,286,663,
230,081,086,290,475,810,076,074,242,219,806,054,815,121,536,442,436,680,817,
095,923,157,366,038,128,427,702,068,877,004,757,117,394,870,765,736,919,949,
438,083,069,119,332,727,215,046,975,726,641,195,529,085,065,933,884,512,917,
660,438,796,070,772,777,525,475,635,042,226,814,039,370,944,834,695,292,113,
234,325,381,613,912,291,368,787,845,023,185,220,895,873,103,014,071,596,485,
281,380,267,985,301,307,002,654,067,094,128,341,140,284,207,332,390,447,701,
165,186,700,682,279,608,016,597,490,866,781,232,563,256,850,148,572,262,663,
088,339,906,784,573,656,460,585,705,095,601,179,713,284,161,934,600,057,233,
730,130,384,191,360,108,585,014,081,064,635,875,327,505,498,298,323,072,947,
183,027,053,332,055,400,112,720,726,856,585,649,519,378,670,638,016,392,337,
756,241,205,708,607,215,500,217,269,841,194,069,952,008,753,721,831,340,150,
993,280,231,388,195,207,626,192,187,723,996,327,792,220,303,927,757,223,345,
889,644,321,532,911,441,627,000,416,512,965,011,885,216,416,639,746,500,055,
501,884,966,387,509,329,220,401,967,318,930,255,631,750,176,175,559,088,543,
387,196,613,878,839,418,100,302,546,181,535,075,797,652,881,953,884,684,123,
204,085,793,710,581,428,061,126,393,490,454,246,703,358,923,468,122,171,472,
024,302,544,826,513,047,341,297,605,220,296,082,151,835,855,443,423,109,246,
822,764,657,533,790,669,700,494,332,635,935,901,761,031,263,077,431,906,445,
704,054,583,681,211,710,398,774,211,873,888,914,544,012,104,890,044,229,555,
142,265,775,894,044,472,112,434,187,110,874,275,872,902,085,356,821,074,480,
589,864,158,990,291,713,890,195,254,845,327,296,679,143,063,390,317,813,682,
146,517,382,059,146,704,059,587,279,994,976,360,422,112,519,142,263,177,355,
556,061,854,638,753,691,805,495,251,157,139,435,425,617,424,560,167,529,782,
601,305,687,316,461,178,918,922,838,517,105,694,395,975,448,583,135,075,372,
268,665,089,583,271,406,040,620,817,946,868,647,341,921,840,208,702,456,996,
587,854,768,135,864,910,248,924,830,246,812,620,852,810,842,078,467,361,529,
574,315,413,821,347,415,228,452,049,859,080,266,391,586,322,764,602,520,432,
907,995,404,798,632,102,577,330,928,892,918,224,097,147,262,909,202,818,399,
559,200,481,884,869,960,879,104,841,213,128,238,941,505,964,060,012,888,042,
316,344,660,272,971,857,225,078,927,529,375,086,486,205,837,405,794,775,224,
329,606,022,113,018,079,428,819,323,433,111,354,497,078,940,165,910,602,131,
138,751,087,978,815,682,268,776,549,119,721,581,614,805,047,031,518,556,708,
607,698,577,946,862,366,807,431,229,420,638,010,983,930,845,761,374,769,391,
918,130,933,595,182,479,473,871,406,064,745,677,702,371,958,847,617,109,220,
991,394,107,677,551,680,309,682,545,594,607,252,336,085,862,302,516,879,041,
814,190,790,075,074,932,435,318,576,073,266,870,105,966,112,295,051,635,819,
819,731,431,237,258,781,888,073,768,490,066,256,917,546,530,701,662,131,672,
159,912,611,453,488,529,406,358,957,906,492,166,745,241,399,093,191,106,524,
786,941,439,695,547,950,993,717,618,916,722,026,923,372,941,824,813,846,227,
324,009,576,595,888,877,967,100,298,941,990,605,452,613,535,919,724,205,773,
138,610,128,649,687,846,306,277,897,519,875,007,573,024,933,086,097,029,827,
540,603,167,893,669,553,320,939,087,079,755,596,224,466,410,984,689,623,803,
536,102,066,045,634,412,714,106,787,029,759,111,069,127,042,933,863,824,363,
313,917,766,156,373,016,105,940,593,183,012,576,647,101,702,853,616,964,821,
544,807,360,946,062,262,319,944,952,140,540,128,110,945,658,467,857,565,500,
478,688,775,722,752,817,004,120,950,950,957,411,931,857,026,823,364,770,027,
665,039,519,728,042,948,705,515,021,085,028,032,174,950,410,460,942,806,063,
227,813,988,030,529,712,485,730,738,599,444,395,274,287,201,547,007,630,503,
013,133,374,666,917,738,999,126,672,796,033,408,258,732,521,479,807,566,142,
406,625,162,800,810,706,649,372,881,782,841,063,474,257,047,767,285,468,331,
776,991,525,329,976,214,138,534,524,128,294,658,349,928,510,609,632,012,160,
167,306,040,659,093,677,491,384,134,747,736,325,644,896,095,771,897,577,806,
277,678,014,998,244,643,305,562,832,450,351,138,658,345,700,687,030,753,929,
908,361,020,525,218,796,438,737,448,748,587,158,491,671,350,310,490,347,101,
957,909,195,085,960,147,078,444,444,491,589,743,975,640,088,767,800,709,628,
431,811,128,706,198,702,644,350,203,313,990,681,901,979,278,149,023,505,202,
313,841,940,726,657,155,005,785,315,777,730,909,426,983,119,378,736,395,435,
226,346,717,694,959,578,424,945,411,366,887,256,335,421,635,197,577,071,158,
191,811,625,134,335,079,572,669,885,410,946,381,481,303,077,798,663,422,962,
410,604,146,730,596,519,100,302,686,467,845,186,431,236,181,901,713,198,321,
354,916,522,431,484,327,440,557,707,992,026,383,284,874,921,800,759,963,664,
016,537,925,431,701,615,779,754,247,083,924,522,565,654,557,827,173,306,364,
642,341,329,166,204,429,690,563,983,899,069,872,070,673,654,371,896,647,237,
893,303,620,141,180,030,985,227,905,286,037,629,837,852,862,014,682,206,614,
928,310,405,108,214,703,186,732,911,369,895,917,175,343,976,565,467,953,938,
612,590,229,983,877,231,619,383,592,344,184,823,251,023,212,471,625,104,314,
100,420,285,689,929,777,463,358,726,520,078,171,964,742,636,555,160,454,531,
107,497,802,045,696,624,615,962,575,100,197,980,206,104,403,249,306,502,928,
461,566,527,217,598,858,166,955,874,896,389,398,369,259,933,632,931,857,663,
924,522,952,522,335,685,064,685,991,466,289,315,418,814,388,833,300,274,662,
584,979,077,438,962,868,356,872,292,239,787,874,578,003,856,384,714,791,318,
961,331,564,717,993,557,223,052,134,941,911,835,773,589,378,116,183,713,047,
573,450,042,955,279,139,254,224,498,246,670,815,196,325,493,833,535,048,200,
057,704,833,051,253,434,655,361,077,670,917,105,777,340,531,547,084,370,248,
449,395,488,554,491,191,771,614,704,934,774,502,318,040,461,341,467,314,977,
419,245,011,964,245,544,997,126,985,446,598,724,837,435,793,309,010,835,196,
107,117,574,081,750,539,806,293,398,900,860,409,508,055,362,705,900,790,499,
579,077,218,317,842,813,001,170,796,801,599,317,628,686,160,189,891,050,057,
814,533,600,814,861,421,100,230,835,010,396,668,307,507,719,996,225,275,986,
724,140,840,857,761,631,668,391,081,694,462,098,670,253,868,428,535,972,754,
198,305,275,898,380,111,782,603,320,295,880,566,444,050,281,758,535,446,450,
554,261,996,345,178,855,521,035,700,094,367,243,163,561,292,342,233,109,844,
332,782,079,597,761,231,402,436,305,578,407,397,620,890,043,553,935,231,482,
153,442,033,617,856,926,599,582,230,983,695,579,185,350,125,144,396,146,071,
501,505,301,757,523,084,470,671,453,527,090,996,226,858,017,744,949,731,213,
751,282,253,355,059,431,000,907,010,618,836,861,985,118,111,725,692,588,375,
713,943,820,874,548,380,516,671,504,980,724,849,173,971,428,433,422,429,677,
382,765,189,509,834,665,302,177,972,700,228,425,646,199,774,844,375,818,938,
890,015,622,976,554,377,813,924,053,244,776,786,675,996,496,710,181,274,448,
400,359,227,421,362,052,915,122,355,801,440,443,769,177,011,597,221,436,614,
475,044,461,479,147,371,121,601,715,007,244,057,416,858,860,929,807,867,650,
825,546,014,771,975,302,036,799,858,299,071,938,201,766,034,398,455,449,507,
447,894,824,195,140,399,133,104,872,662,570,282,857,663,452,199,857,464,287,
602,692,052,742,912,257,070,023,112,922,916,669,689,260,884,311,606,421,137,
968,162,740,841,433,062,751,093,806,805,146,261,261,436,098,416,040,751,942,
127,562,186,381,858,035,450,463,015,770,167,143,722,498,724,900,228,295,190,
700,095,962,614,601,053,783,183,040,695,600,685,689,906,114,678,231,416,092,
757,142,420,686,748,584,955,211,595,253,617,865,962,390,683,610,017,553,741,
735,431,456,746,427,829,590,915,135,139,249,400,634,743,280,096,370,797,308,
103,314,047,716,333,843,227,885,559,150,562,765,910,140,532,103,782,333,752,
076,961,602,845,566,364,046,977,824,836,263,202,149,092,321,725,330,436,031,
932,043,370,320,398,476,192,803,021,165,526,783,502,573,894,130,186,232,773,
685,796,089,906,395,357,253,514,920,809,006,599,834,982,829,794,738,780,801,
671,811,374,393,973,974,886,818,344,612,992,310,573,731,366,222,927,101,619,
942,318,406,155,890,531,795,013,860,802,124,945,779,264,012,916,119,311,499,
341,238,865,796,983,216,669,948,634,962,292,921,502,435,106,010,978,642,111,
464,739,343,832,136,399,600,653,466,989,380,596,366,975,686,016,510,852,768,
576,390,307,542,434,069,234,680,624,747,699,874,905,092,142,803,392,533,875,
956,703,278,734,507,890,669,615,498,878,834,040,192,123,269,571,647,389,049,
273,667,196,723,252,440,857,060,268,936,917,956,970,838,980,788,370,476,636,
601,216,379,410,216,172,213,234,563,633,281,624,134,822,270,932,405,289,384,
951,003,255,200,148,388,025,864,613,936,134,353,411,697,540,453,737,346,011,
821,082,214,996,465,847,202,589,416,427,136,516,213,803,300,210,954,157,585,
268,765,463,474,190,578,626,338,183,499,847,593,534,973,162,021,160,212,872,
636,641,757,160,724,320,885,368,854,812,960,873,792,329,691,029,306,295,648,
245,172,992,917,368,386,768,677,170,895,670,925,191,919,508,239,031,304,734,
240,415,485,212,974,512,851,945,828,733,072,793,898,418,321,190,404,396,593,
651,832,256,326,227,090,141,181,592,407,597,169,668,359,333,474,708,667,146,
807,863,001,334,079,437,849,890,620,412,638,652,599,179,736,879,156,161,175,
001,878,018,020,711,713,797,113,077,625,529,982,919,301,707,148,237,912,376,
829,428,386,784,141,850,155,718,946,101,543,549,877,510,292,714,024,431,327,
632,559,317,220,436,434,222,420,985,810,480,126,672,740,541,192,285,352,638,
846,889,015,246,045,533,944,456,916,280,549,119,013,846,713,617,731,032,082,
433,218,633,408,587,856,053,489,460,551,797,284,852,642,472,471,061,031,321,
351,240,354,198,409,841,730,861,415,383,553,879,281,190,948,742,102,802,227,
671,943,668,715,098,413,146,354,492,270,774,961,560,617,686,294,242,162,107,
377,591,611,490,154,624,885,089,515,247,003,159,498,924,359,652,862,867,633,
179,781,865,651,128,647,594,139,198,073,074,163,066,767,122,670,121,585,389,
646,113,601,177,036,357,622,888,569,744,152,743,013,035,528,971,151,884,065,
751,328,102,695,001,722,370,630,142,247,111,070,702,141,912,340,826,924,877,
603,398,722,624,224,058,959,241,808,638,150,972,396,484,572,016,253,517,555,
145,894,016,741,001,270,927,270,412,874,693,026,587,614,226,102,419,740,212,
936,647,325,128,848,596,112,722,121,406,572,360,318,525,140,584,342,207,859,
174,611,914,267,644,039,587,500,976,452,799,690,371,465,502,141,914,519,313,
400,856,820,246,240,393,595,764,523,480,159,410,434,790,036,654,612,113,055,
127,639,852,511,943,235,766,668,498,600,719,447,907,363,896,021,058,369,333,
438,575,785,482,722,679,667,354,277,715,347,752,194,379,012,036,940,296,963,
999,050,419,480,204,937,594,435,162,044,941,493,873,671,737,549,190,035,847,
796,151,058,915,381,018,229,642,855,181,686,536,212,281,530,911,335,892,831,
676,624,481,787,606,638,727,028,511,711,788,776,290,890,659,069,758,436,857,
688,743,414,255,126,443,332,964,396,526,253,349,266,223,759,054,985,239,429,
870,448,554,951,693,867,874,986,912,539,832,764,626,724,715,400,421,872,032,
487,422,224,873,717,821,993,925,865,067,467,349,551,631,336,151,310,251,745,
794,489,397,308,080,671,697,604,650,643,285,566,376,035,437,458,049,580,607,
469,131,945,347,873,233,034,411,203,048,318,907,059,021,916,374,325,671,895,
907,930,387,509,750,254,737,074,130,376,066,886,895,653,453,406,176,672,798,
903,172,998,525,324,692,573,088,654,343,016,557,871,033,641,436,532,397,633,
015,149,867,694,601,454,113,733,885,361,765,784,216,952,894,213,643,231,920,
040,230,663,917,504,026,088,976,687,711,293,140,867,749,882,553,242,201,303,
696,292,802,966,275,534,456,558,081,781,889,978,075,362,243,592,735,351,757,
804,561,966,841,801,013,367,481,404,331,939,130,774,652,575,695,408,883,619,
241,615,642,608,508,357,472,583,713,290,823,648,222,880,864,687,431,266,259,
073,958,327,142,630,439,610,275,170,825,690,390,799,642,602,222,577,224,140,
368,254,866,705,146,823,424,910,831,403,404,642,958,789,404,353,075,732,434,
057,149,664,448,843,062,127,859,819,969,882,355,074,215,534,488,062,143,868,
279,554,660,185,898,958,510,278,876,395,197,291,101,507,383,535,344,902,803,
143,075,038,243,860,855,077,170,034,108,020,575,013,978,140,405,964,578,051,
180,200,420,237,113,831,676,931,703,534,093,375,714,705,148,930,185,367,726,
419,712,613,242,859,895,475,974,023,847,979,563,308,574,670,469,889,812,689,
446,673,429,249,791,766,400,267,866,861,021,510,774,151,929,120,502,204,934,
555,274,082,227,519,156,158,641,805,620,700,349,093,829,640,905,729,160,189,
833,326,736,580,222,940,429,589,508,583,599,284,386,629,827,721,015,521,523,
321,000,617,901,973,150,349,422,072,288,272,816,947,882,498,797,682,035,491,
553,092,002,254,339,317,306,948,339,585,880,324,163,552,746,221,699,713,822,
605,709,790,918,139,246,120,455,813,983,118,511,902,103,171,090,026,989,212,
433,847,550,309,295,300,717,619,081,322,075,396,791,914,029,255,792,340,221,
090,862,891,957,857,096,094,814,212,130,579,818,222,217,755,320,598,283,006,
654,470,715,881,918,393,151,192,788,124,415,304,584,795,121,527,928,264,057,
850,138,494,945,882,579,895,523,884,116,563,517,255,130,670,622,165,619,884,
037,943,277,230,868,953,400,665,016,595,190,366,068,478,596,372,562,933,525,
928,280,035,201,714,166,746,399,654,789,763,155,690,805,017,553,546,010,623,
006,458,654,049,565,067,325,230,772,739,780,258,318,113,681,250,012,122,404,
942,721,639,767,139,598,127,907,039,025,781,418,597,440,179,446,328,889,839,
032,845,526,629,594,651,531,093,933,024,386,700,258,503,719,486,642,551,531,
914,080,152,974,260,371,257,563,748,522,781,052,398,332,814,756,317,208,107,
876,356,594,892,530,439,829,331,234,810,862,060,235,221,373,733,002,950,062,
996,669,372,702,239,667,320,168,333,758,649,080,881,423,314,296,238,833,443,
482,791,479,457,639,525,228,820,983,241,113,936,214,928,870,541,963,239,847,
933,530,608,844,266,258,909,184,300,465,043,241,987,907,384,547,512,931,605,
137,580,687,632,464,686,236,427,284,332,441,048,653,962,114,115,362,067,510,
864,666,182,301,141,449,795,886,849,924,283,375,163,963,010,636,651,251,301,
907,267,362,806,891,681,265,165,053,811,524,218,756,609,069,996,583,623,478,
527,070,899,629,802,348,982,863,546,317,766,444,060,047,037,621,626,980,429,
230,478,090,474,413,252,227,122,594,229,039,161,837,750,204,298,590,596,679,
226,221,350,262,631,727,397,577,584,424,748,620,856,770,752,687,536,100,210,
619,266,138,457,844,539,254,684,474,427,926,560,966,219,774,716,827,378,884,
560,502,768,490,821,651,168,159,463,918,841,703,431,699,124,569,331,822,827,
284,641,684,984,501,459,827,164,544,160,523,448,597,348,041,902,173,080,086,
085,218,414,885,458,657,289,772,156,632,797,806,216,914,254,505,343,099,447,
073,520,354,163,783,725,842,903,320,943,298,315,875,682,877,436,022,734,211,
330,411,566,369,244,628,527,280,080,163,666,494,732,548,061,162,999,813,837,
800,741,993,958,893,640,071,477,901,054,801,363,946,545,812,694,157,483,569,
864,240,240,089,376,412,440,525,724,762,971,848,197,404,787,515,027,837,619,
612,626,519,066,162,000,118,108,537,887,726,325,897,430,040,481,198,439,793,
199,934,022,671,821,567,183,711,103,619,209,389,603,041,930,220,460,634,297,
647,583,838,034,684,015,873,287,978,066,076,034,526,743,042,389,951,191,293,
183,191,005,154,168,155,551,815,170,671,399,424,730,335,039,892,770,088,516,
883,683,692,046,778,224,931,802,031,493,112,310,169,072,787,022,997,621,715,
703,108,080,295,133,778,581,579,196,875,172,543,067,191,175,222,371,704,253,
850,001,187,880,205,438,300,083,579,700,910,101,330,727,949,426,854,366,398,
184,071,845,189,738,952,698,326,026,584,602,519,813,834,794,352,351,054,011,
854,435,899,158,137,619,034,444,532,103,189,604,634,683,151,363,599,355,032,
059,987,511,372,807,874,551,930,278,356,099,872,886,467,211,637,493,040,249,
177,452,957,388,703,251,921,053,637,572,649,138,091,007,293,263,803,085,420,
616,794,608,543,318,363,396,019,032,854,489,798,680,605,327,661,804,349,540,
323,975,725,131,452,239,973,561,655,016,086,306,931,839,603,851,336,708,149,
841,924,247,946,197,449,835,105,434,459,001,886,010,709,258,362,203,301,188,
325,436,267,988,318,106,354,585,690,582,263,199,704,010,697,899,179,963,109,
812,936,408,240,450,023,594,107,395,947,722,545,177,540,339,418,707,605,542,
562,504,052,938,587,073,106,350,518,370,588,256,198,593,825,351,596,702,940,
392,096,815,563,598,643,895,998,276,003,326,784,304,112,073,309,885,189,783,
222,645,293,731,117,304,063,501,863,981,706,792,552,416,416,495,161,965,745,
417,727,840,117,333,403,717,670,310,204,028,286,144,137,718,778,115,265,286,
161,426,797,947,558,717,431,036,327,186,151,810,555,145,977,632,301,920,675,
023,891,057,781,538,514,035,217,017,031,936,098,295,577,422,370,805,001,039,
559,955,332,092,257,957,174,043,235,897,373,784,886,734,855,197,670,728,936,
700,591,375,999,278,292,628,636,621,879,958,571,875,073,281,628,190,954,947,
919,335,780,252,155,953,338,898,793,195,790,959,997,176,514,797,033,387,962,
437,753,453,258,082,835,150,781,434,357,864,823,769,704,420,352,628,875,429,
578,824,755,931,402,239,255,623,269,550,504,966,046,912,580,478,666,700,794,
112,587,494,099,698,408,250,850,546,428,729,611,391,277,252,960,199,745,238,
149,274,578,968,328,628,217,742,864,710,278,712,751,433,077,437,474,010,128,
375,732,193,601,972,682,209,072,955,090,203,541,393,680,897,715,989,142,588,
575,069,802,054,131,354,072,609,154,128,484,864,668,584,964,496,311,083,493,
016,236,555,519,815,928,988,292,003,588,412,053,758,545,290,531,074,109,778,
890,494,533,795,153,542,031,254,895,447,996,321,268,961,468,866,620,200,075,
491,193,722,418,451,261,711,017,242,494,073,629,610,727,872,022,690,797,541,
751,349,543,014,432,058,215,499,409,032,469,048,019,372,527,355,495,775,432,
354,553,339,587,073,429,459,402,508,710,873,967,059,400,307,191,694,964,201,
619,225,715,653,499,771,557,090,316,001,329,158,262,396,316,461,982,279,874,
411,367,378,118,954,237,931,449,130,539,301,593,884,849,887,275,363,738,558,
156,147,569,394,583,779,429,712,432,566,040,008,663,677,981,350,738,362,071,
052,617,498,187,333,803,359,703,602,948,762,474,816,421,409,938,505,727,670,
250,667,850,437,812,220,860,002,440,564,025,250,615,071,335,597,347,571,712,
046,962,035,155,130,303,282,100,148,211,072,491,456,098,938,809,663,289,474,
460,685,716,174,007,316,160,914,685,442,290,516,304,999,964,858,648,378,983,
687,018,962,832,234,750,999,344,691,079,068,869,115,540,242,491,015,353,010,
053,431,013,350,587,017,743,594,700,692,595,661,516,415,167,844,712,550,239,
764,883,320,359,965,304,707,121,337,048,637,429,845,169,413,427,647,950,809,
332,001,543,494,327,634,104,475,062,850,942,206,584,999,540,930,602,986,848,
987,108,534,179,842,051,060,339,023,558,440,186,741,035,484,254,533,839,563,
943,642,909,958,147,164,821,902,618,787,523,286,170,161,074,614,327,791,924,
901,683,269,130,620,780,197,061,626,455,222,862,942,053,712,049,135,590,436,
437,764,959,895,598,329,360,679,546,163,214,832,424,870,616,411,691,937,026,
347,151,431,776,615,399,591,582,089,957,981,269,194,671,968,691,281,513,994,
028,324,707,148,555,903,614,468,819,739,013,558,484,567,818,036,163,761,919,
012,402,618,651,445,665,562,488,611,007,570,249,940,920,412,355,515,125,802,
969,447,230,423,564,036,918,028,181,947,228,119,652,050,534,721,888,365,825,
047,037,905,922,941,920,067,282,945,566,189,637,179,016,863,251,814,534,045,
975,589,690,724,598,887,283,389,157,208,816,281,434,654,755,305,658,471,229,
917,763,276,572,451,991,626,782,694,957,364,847,163,106,708,535,018,466,032,
881,601,875,624,329,468,157,998,246,019,048,469,441,916,262,966,245,970,835,
915,780,492,455,863,143,996,687,571,266,558,840,124,786,920,895,895,953,824,
181,113,967,833,293,936,579,001,059,898,454,710,006,214,499,863,186,359,635,
992,118,162,867,801,892,736,647,272,223,495,765,268,455,219,316,734,078,756,
326,575,125,622,097,472,745,967,591,709,104,553,249,297,609,652,393,723,049,
299,020,593,270,395,573,125,768,261,504,510,282,023,112,261,245,027,012,787,
547,264,628,991,852,501,745,981,707,791,885,492,510,441,055,665,478,326,506,
533,585,371,794,090,344,675,714,572,154,138,866,269,334,263,384,592,512,276,
184,925,542,180,702,319,385,248,812,088,180,338,020,695,019,903,730,926,056,
602,570,555,345,968,560,112,732,106,311,746,931,490,639,223,111,206,721,421,
589,715,693,276,688,397,481,534,441,077,724,313,846,493,279,255,463,497,876,
222,869,390,488,639,462,789,247,125,347,951,488,132,931,525,995,500,890,450,
926,908,848,299,387,483,234,264,878,787,004,398,030,157,119,708,824,063,900,
534,872,795,971,319,349,447,740,702,237,817,451,816,189,528,334,343,060,890,
599,584,322,134,042,389,846,789,968,685,862,539,305,900,923,606,724,315,631,
762,139,859,480,304,352,758,423,475,245,541,679,179,186,066,389,580,415,363,
607,132,218,417,644,522,537,620,240,478,497,971,100,828,883,845,890,387,284,
320,929,206,331,868,660,856,792,843,728,666,670,301,362,128,225,466,443,933,
899,995,339,449,873,419,519,017,284,244,090,114,857,824,335,987,482,316,244,
946,125,580,618,916,975,370,070,401,004,747,147,161,522,445,084,660,142,634,
816,351,963,557,775,338,216,016,210,197,959,698,229,543,629,973,762,005,814,
357,815,490,470,553,225,249,638,863,443,235,461,229,080,220,228,042,172,760,
063,584,311,478,452,150,990,283,669,942,070,958,861,779,244,803,483,039,548,
640,019,837,770,750,777,962,770,409,628,952,013,084,338,605,962,043,815,978,
951,073,148,947,011,114,700,456,646,373,052,294,079,928,045,688,415,085,562,
108,936,256,649,825,699,174,115,377,324,074,648,054,289,003,047,038,807,951,
882,468,030,611,605,141,319,317,226,301,241,423,206,895,528,069,155,386,053,
580,278,732,167,525,638,868,481,679,624,149,675,942,264,295,113,578,409,470,
144,201,081,672,891,772,393,418,181,281,584,119,124,793,287,265,075,360,002,
954,047,477,107,179,736,605,479,631,996,603,999,482,955,734,856,019,509,548,
468,234,920,999,442,793,832,015,921,077,395,930,105,895,872,060,061,876,127,
597,851,445,071,979,722,830,004,024,826,475,766,341,988,714,910,295,975,312,
642,080,006,508,136,235,119,081,327,887,664,358,601,204,293,889,724,459,099,
433,406,969,666,805,033,367,534,250,512,385,599,956,969,015,812,149,769,924,
777,069,990,026,400,830,685,613,246,521,732,928,427,551,254,351,198,864,085,
086,071,363,694,004,145,048,738,179,714,949,692,018,693,470,441,761,309,155,
963,182,830,411,083,617,703,781,011,927,516,234,758,062,087,704,620,027,596,
762,230,336,020,202,655,189,503,040,526,229,128,133,720,807,147,242,909,075,
953,592,973,659,661,065,758,526,245,580,144,159,208,434,204,852,867,850,163,
782,401,478,033,438,410,695,582,616,917,018,927,897,469,428,247,022,391,025,
005,595,109,830,630,724,341,891,707,027,979,091,185,058,605,836,773,834,605,
527,188,250,939,064,543,986,201,721,929,885,733,714,112,644,255,704,526,171,
739,369,362,495,276,383,337,145,813,704,204,533,204,571,851,205,516,001,948,
423,266,595,921,385,874,318,499,430,700,841,010,624,784,262,514,830,766,018,
136,378,013,385,240,037,287,206,487,372,509,634,261,773,836,752,272,784,631,
048,513,462,812,615,019,131,615,189,506,923,515,637,302,184,937,464,286,807,
932,355,744,068,211,941,689,210,220,403,261,894,629,842,713,613,282,344,457,
288,085,968,069,330,684,265,172,715,307,397,064,987,723,921,731,683,962,624,
583,745,599,139,932,271,112,401,846,237,509,704,844,483,687,572,732,014,092,
898,912,096,490,795,066,314,958,079,017,062,984,728,087,968,686,640,544,061,
818,452,177,089,749,454,453,642,032,402,580,512,539,628,909,395,340,189,257,
890,074,765,274,694,208,707,760,943,340,937,857,559,091,726,706,653,220,851,
459,317,043,665,752,889,495,536,404,100,985,319,468,898,216,800,261,782,627,
052,224,162,900,303,536,798,495,104,103,803,492,099,871,412,165,401,076,951,
183,795,259,797,196,098,866,120,454,028,388,645,185,523,257,115,263,695,855,
704,650,768,591,659,888,568,729,610,790,981,906,719,888,825,919,072,948,765,
180,749,330,756,612,628,342,561,853,386,389,157,189,936,983,391,553,292,763,
313,346,628,908,785,741,459,797,194,277,132,977,445,557,182,589,029,193,894,
259,181,622,373,952,133,746,974,280,846,391,668,407,159,818,858,992,406,554,
977,979,531,330,818,489,414,461,194,321,135,464,079,839,486,066,942,637,445,
097,005,970,801,331,884,798,386,552,989,146,149,127,715,089,531,447,008,378,
259,696,960,945,664,310,792,715,042,389,625,905,117,175,897,235,972,602,484,
448,738,185,328,889,716,798,796,053,916,371,489,178,906,589,343,949,058,653,
864,327,490,171,465,479,518,652,226,178,616,146,398,190,476,038,678,861,608,
900,479,153,547,527,987,397,837,375,046,888,376,406,219,080,756,406,677,399,
342,328,213,364,062,785,202,618,161,391,646,003,625,870,552,241,374,577,818,
823,893,214,231,759,072,606,103,036,796,768,651,609,721,769,571,932,511,578,
116,508,621,984,931,491,981,078,186,956,586,765,028,318,803,850,798,639,611,
873,863,101,484,199,757,513,182,640,518,855,165,831,241,916,612,891,092,252,
197,743,595,625,349,171,823,995,557,562,295,948,257,456,803,385,304,577,034,
549,962,316,617,121,332,718,011,387,112,433,854,247,991,670,368,113,324,540,
289,801,941,661,092,429,398,251,700,108,858,945,223,457,572,371,781,712,841,
718,377,213,555,192,265,302,308,443,879,352,664,180,820,589,450,090,133,421,
228,139,013,285,024,160,630,864,056,741,048,977,735,212,215,163,585,375,873,
073,935,611,015,809,495,622,381,246,001,409,522,559,771,034,412,242,321,073,
104,645,743,669,998,115,299,381,168,181,476,269,360,825,257,417,985,864,123,
682,832,896,658,165,017,169,131,357,719,488,592,240,822,893,847,624,167,537,
774,647,289,127,920,969,513,438,723,402,548,756,070,494,273,824,128,073,510,
200,868,565,668,494,324,241,234,758,099,409,104,091,009,058,747,867,716,591,
115,236,562,578,442,922,626,779,132,171,491,252,292,120,984,471,362,211,456,
099,702,103,008,669,025,176,746,338,912,789,126,692,957,915,728,247,636,015,
664,113,373,072,805,185,214,535,291,898,485,138,116,162,393,004,965,186,047,
126,732,324,333,613,276,360,831,286,562,968,837,207,899,820,771,248,818,407,
472,603,291,313,211,732,296,841,056,688,900,957,714,153,485,497,113,152,399,
988,043,043,376,994,436,652,717,127,528,358,570,001,183,237,066,682,450,852,
901,464,337,508,290,686,585,412,472,393,148,574,427,679,279,792,865,593,251,
903,421,978,934,948,504,767,203,557,343,143,353,876,143,818,526,741,266,528,
962,367,290,210,450,117,535,040,126,485,416,959,089,644,191,704,739,400,599,
280,512,473,308,349,846,915,227,572,051,915,498,603,989,048,241,398,514,007,
657,562,918,903,338,423,299,844,167,810,662,510,479,333,688,430,335,267,540,
269,369,103,834,891,387,273,353,121,717,608,263,523,091,513,733,889,504,967,
022,527,614,201,366,597,476,819,582,941,423,752,267,554,501,755,021,975,777,
145,177,220,784,928,069,082,417,109,254,672,136,041,087,442,572,594,591,109,
324,990,423,947,143,358,558,931,289,643,497,128,342,147,341,842,174,748,047,
615,344,191,521,253,724,087,781,924,201,597,171,687,411,625,115,565,608,010,
932,860,914,597,458,100,250,517,562,113,927,880,108,771,358,783,540,673,923,
569,080,519,355,758,062,667,938,217,243,434,832,910,970,873,553,506,767,154,
703,085,522,477,101,717,983,877,851,083,748,083,697,490,512,392,934,150,133,
466,149,286,651,019,339,354,260,633,910,930,970,606,217,433,705,168,801,986,
312,018,658,961,470,782,677,576,206,140,763,491,658,886,988,176,779,237,845,
192,646,246,005,979,862,382,201,179,207,880,900,170,514,157,289,769,634,575,
571,179,503,793,801,695,472,522,839,528,670,756,302,782,434,645,882,727,332,
404,141,596,184,799,936,978,919,193,741,161,396,787,632,603,645,989,891,005,
592,729,314,917,157,464,896,082,151,725,822,893,617,800,607,661,600,061,402,
553,087,343,251,472,098,592,713,487,492,303,362,867,917,603,195,071,869,255,
874,558,263,637,459,283,091,335,384,679,200,769,386,005,372,253,935,269,551,
272,868,294,875,239,995,161,153,243,541,005,880,182,336,774,830,450,413,555,
314,795,070,913,710,602,559,316,806,775,661,940,636,770,223,485,733,771,694,
084,323,202,038,199,947,048,117,109,805,824,898,681,969,692,062,004,425,441,
281,263,677,372,339,600,296,329,725,316,961,325,761,707,641,452,447,513,285,
821,904,815,932,309,296,096,029,215,462,476,417,599,990,046,429,487,709,393,
078,397,643,679,117,701,904,904,488,685,966,067,174,840,763,954,423,890,592,
183,455,504,018,932,650,285,417,082,878,149,506,250,706,048,550,665,809,465,
460,060,794,797,449,375,881,655,460,010,677,299,046,015,454,737,477,578,342,
493,689,631,524,696,087,619,639,339,575,443,193,244,275,325,783,096,326,170,
047,156,715,673,155,020,644,523,657,160,202,169,680,696,418,439,546,283,767,
871,320,721,085,457,694,958,975,397,732,060,901,688,266,525,099,976,074,538,
047,142,066,314,757,596,333,294,247,834,897,089,810,634,669,920,658,005,535,
328,635,287,449,471,426,117,839,691,758,983,450,388,107,014,095,868,097,717,
196,198,610,544,586,190,909,876,850,687,577,918,166,875,586,292,974,442,607,
007,587,131,456,959,605,409,141,637,281,077,555,718,773,788,593,208,410,647,
645,426,628,416,771,957,784,780,375,668,310,125,390,030,906,792,116,500,147,
915,930,587,227,345,987,576,078,794,230,349,937,503,113,649,095,816,929,440,
869,253,015,060,187,755,316,476,346,260,102,755,599,602,269,360,451,789,786,
109,728,029,831,212,086,243,952,865,618,452,135,759,744,982,450,217,975,829,
031,507,792,128,457,941,106,184,329,146,028,738,784,084,000,206,917,105,548,
664,030,422,478,329,481,320,191,067,327,515,149,644,732,353,533,713,849,097,
413,525,854,672,266,729,248,227,877,333,537,282,294,679,604,317,340,643,379,
228,015,064,109,892,046,824,915,021,135,027,114,810,398,312,353,852,806,604,
487,008,759,789,075,894,545,642,173,068,301,139,489,060,943,019,505,853,289,
091,956,454,525,609,349,425,010,382,924,877,613,643,932,139,942,539,237,066,
119,482,754,899,378,024,521,899,095,284,723,452,869,608,483,468,077,633,654,
176,404,477,017,795,573,820,077,409,207,320,754,300,887,212,478,060,458,854,
417,541,194,947,385,534,331,421,001,769,676,645,994,938,108,829,100,104,723,
933,001,038,703,340,711,514,731,819,702,884,488,130,862,228,620,372,015,876,
970,953,166,071,051,039,646,825,703,902,766,394,799,824,039,213,675,340,155,
620,467,190,783,104,389,854,688,432,810,699,951,163,974,254,211,888,090,233,
530,176,424,497,403,869,427,244,669,143,757,304,809,264,951,091,329,768,523,
234,056,902,083,881,278,057,180,472,866,230,991,128,914,241,405,224,848,579,
143,632,466,564,223,910,244,803,066,399,415,083,070,222,315,216,875,718,398,
872,193,432,419,510,814,431,823,342,136,307,266,218,873,804,904,379,821,605,
815,370,403,851,739,436,438,915,707,256,449,513,131,282,064,831,222,839,559,
583,261,424,207,517,984,178,982,803,422,902,380,075,270,013,273,792,721,758,
066,444,850,711,280,099,824,216,750,196,085,788,415,432,389,199,975,431,931,
745,689,385,190,425,441,740,621,534,454,777,353,635,183,355,523,682,756,647,
091,069,133,910,502,561,200,425,667,203,089,521,067,414,901,153,767,767,683,
149,226,728,890,664,980,022,035,221,385,457,012,023,974,254,495,699,407,351,
635,526,711,680,222,630,789,787,734,249,750,685,956,280,260,425,813,233,191,
868,502,565,933,328,926,431,489,612,681,882,958,308,797,921,998,988,871,975,
266,211,531,053,239,962,291,308,806,755,968,902,421,460,361,546,878,726,302,
725,799,562,195,500,702,897,800,540,687,583,364,474,270,512,557,574,248,720,
250,900,899,935,186,484,140,158,402,061,247,536,199,962,278,433,878,039,615,
596,272,079,224,071,981,190,542,619,071,086,855,750,642,954,260,670,873,484,
687,174,775,832,077,994,885,796,956,295,540,748,522,949,206,889,925,094,072,
525,365,762,263,023,165,440,637,024,735,687,386,123,557,309,722,642,667,586,
360,400,707,882,173,779,645,071,429,274,631,033,812,379,730,235,818,900,514,
031,877,824,133,425,616,448,154,059,334,790,634,889,121,179,927,049,756,120,
934,647,847,369,648,889,821,057,530,533,815,207,274,693,333,388,533,292,995,
281,081,419,837,800,511,829,018,022,927,227,181,798,037,902,041,491,697,146,
496,009,696,474,606,828,401,525,016,716,309,040,644,787,282,815,307,947,660,
978,272,856,280,099,263,045,945,374,109,232,929,102,557,431,499,699,347,994,
421,701,124,527,990,899,963,254,351,412,348,918,514,818,024,679,726,005,561,
282,399,047,639,489,195,970,887,262,995,534,958,958,754,553,651,128,965,583,
464,638,411,159,878,560,832,062,072,874,883,340,504,576,453,156,883,418,600,
889,142,303,698,679,815,748,174,200,891,054,611,334,568,500,283,409,091,799,
455,567,747,632,969,961,002,999,191,714,195,956,101,767,486,300,516,243,593,
188,135,127,939,532,521,280,593,209,018,440,091,297,922,459,826,042,782,625,
148,995,963,504,622,981,090,964,369,527,916,444,531,095,660,867,761,685,447,
148,092,306,535,833,295,636,934,901,955,294,193,989,689,427,239,789,591,389,
588,511,446,644,429,555,186,444,354,471,172,872,439,986,175,288,399,114,665,
574,644,304,337,352,163,768,606,782,162,500,748,669,708,909,716,166,267,178,
404,920,488,607,892,604,058,040,857,399,467,384,489,332,167,597,274,483,691,
138,121,187,397,392,930,546,155,635,839,712,309,645,755,975,329,927,111,033,
698,531,291,425,660,197,490,235,647,702,535,849,611,321,101,890,883,989,893,
220,768,015,083,803,085,264,267,953,173,721,535,485,597,468,845,703,153,583,
856,008,074,312,933,680,665,468,033,368,581,174,920,546,301,093,758,782,720,
636,716,371,185,112,181,542,079,323,320,587,936,854,203,039,871,308,164,164,
706,503,926,471,898,239,584,121,307,351,522,333,619,069,718,458,941,000,612,
468,379,893,801,067,219,601,721,383,031,563,412,652,674,355,498,563,670,018,
634,308,729,197,567,392,100,444,004,691,085,238,467,883,433,594,612,664,561,
737,846,894,742,557,118,388,428,716,684,279,182,062,869,498,367,195,922,075,
605,382,973,279,376,413,347,656,998,967,561,171,164,250,153,736,730,546,818,
892,604,877,505,559,871,870,764,657,061,281,462,937,894,980,564,952,788,305,
831,783,814,015,271,400,154,364,714,725,523,075,499,275,808,832,467,294,542,
812,941,094,045,812,841,336,543,940,577,910,413,282,922,497,647,131,962,408,
964,844,841,847,051,343,320,255,478,806,516,810,730,223,024,289,161,660,262,
160,879,749,293,920,179,808,449,815,305,151,923,070,583,453,372,641,590,889,
518,910,570,537,123,968,594,961,182,453,717,198,290,470,928,539,827,400,623,
079,957,952,526,952,370,831,823,222,943,922,215,629,422,665,355,805,090,176,
348,309,556,287,558,801,048,442,515,783,893,788,830,395,749,798,652,007,060,
745,285,833,728,535,891,788,949,843,298,882,917,580,814,056,724,041,153,679,
585,737,813,205,465,249,416,982,367,041,524,247,382,057,541,888,470,231,401,
687,547,559,532,461,960,915,984,861,463,735,372,874,712,233,827,779,562,187,
366,787,183,224,228,608,045,709,762,932,771,828,380,364,507,503,846,055,678,
180,131,689,467,475,274,682,585,836,480,640,704,490,643,120,272,813,852,369,
337,754,576,489,268,512,925,309,777,785,742,747,387,404,059,052,984,666,783,
906,834,287,620,795,208,887,114,567,231,606,147,692,794,461,574,084,103,140,
720,424,152,059,589,221,972,086,677,055,416,247,378,867,057,904,970,121,329,
284,328,601,051,131,553,893,224,630,312,266,225,235,442,506,152,444,006,605,
562,217,731,580,040,489,816,578,864,178,259,220,546,180,954,353,340,153,430,
953,671,034,936,465,738,606,403,219,044,062,193,143,573,386,192,167,685,773,
096,915,362,374,974,063,116,943,187,926,278,191,736,821,110,615,069,053,276,
974,798,006,798,046,823,857,040,532,290,643,160,883,513,677,501,309,432,389,
275,192,859,386,210,195,442,323,646,270,347,397,107,217,882,483,161,106,307,
686,152,534,567,922,503,953,928,030,311,416,621,972,222,219,692,468,172,494,
310,056,154,778,688,824,301,375,618,371,135,911,035,266,855,849,381,760,461,
880,353,051,543,067,851,611,974,898,161,630,964,947,555,841,340,495,819,663,
942,653,688,282,288,673,156,283,042,059,559,849,179,987,503,942,363,446,472,
375,987,753,006,627,391,034,150,655,277,809,501,343,399,254,634,293,247,441,
775,201,188,179,927,757,657,115,924,440,150,919,682,029,013,313,125,418,842,
264,934,030,710,084,614,146,278,125,608,083,529,019,798,544,558,510,851,209,
278,055,808,089,567,685,406,041,348,096,351,368,398,185,337,806,777,617,646,
996,217,571,340,274,082,905,503,343,610,618,807,687,687,563,027,920,703,757,
490,041,234,203,693,647,104,909,992,448,054,972,177,713,263,415,493,144,877,
451,086,123,543,804,083,643,722,631,224,396,983,688,464,110,144,873,208,036,
777,188,788,559,519,413,264,792,811,617,369,490,915,800,929,499,546,190,027,
802,852,865,436,338,084,068,125,507,917,268,386,013,896,162,523,807,693,874,
741,735,027,586,213,387,865,620,649,516,119,783,281,405,505,397,021,355,242,
881,965,765,849,915,925,368,581,045,540,973,501,501,620,668,077,533,635,215,
553,064,140,299,914,798,606,429,117,246,358,873,687,015,413,549,270,232,100,
414,426,950,811,896,803,340,954,578,633,667,376,072,315,032,611,517,910,791,
333,420,749,228,764,568,404,368,032,825,817,841,380,371,508,645,235,734,678,
049,661,595,328,747,393,653,811,508,905,297,314,640,220,227,667,861,029,259,
592,979,947,060,955,959,464,537,097,846,456,810,354,702,881,652,207,193,307,
294,982,289,513,493,306,565,637,110,754,018,052,619,287,770,532,136,270,005,
714,245,983,618,680,574,948,350,606,669,063,248,008,672,458,905,791,466,216,
356,091,739,641,068,320,586,335,775,691,315,752,285,874,330,633,017,368,976,
806,462,366,168,094,019,023,662,930,441,337,442,029,443,840,144,598,248,585,
432,469,052,658,886,110,564,287,332,800,164,776,346,345,324,493,292,776,888,
751,452,272,709,432,237,946,930,082,260,973,994,096,115,121,282,976,916,217,
899,213,916,623,755,174,052,509,771,095,807,266,636,267,934,234,388,456,455,
926,438,487,836,992,224,990,887,361,595,745,109,795,240,667,075,328,589,344,
676,421,354,140,644,738,076,219,483,810,460,958,628,318,636,014,442,173,030,
184,948,373,055,451,278,783,400,136,142,940,054,992,354,203,618,698,823,375,
178,251,470,312,587,585,562,940,485,255,309,723,785,832,009,814,030,750,136,
632,008,057,604,291,580,739,096,945,679,169,642,790,667,332,959,707,458,595,
525,718,419,017,035,996,844,564,146,468,421,666,529,005,041,317,474,512,266,
140,026,260,214,014,416,479,966,561,341,066,218,044,431,756,585,817,755,182,
077,331,033,808,583,225,323,476,652,210,451,348,750,448,367,567,353,721,306,
799,366,007,714,437,461,451,233,970,275,180,918,679,410,596,947,345,196,544,
613,073,138,060,043,229,192,263,891,462,384,991,475,418,596,852,158,776,025,
680,768,929,596,459,462,732,156,394,309,206,885,988,104,901,310,268,183,405,
534,066,593,791,959,678,481,936,559,134,096,985,088,575,753,050,102,196,930,
238,736,472,446,742,496,393,030,929,696,685,657,943,636,416,976,779,138,676,
803,331,639,841,592,627,229,893,379,660,458,478,165,766,866,399,032,287,756,
799,656,063,138,943,209,318,831,449,359,777,508,554,206,446,301,168,959,267,
239,594,061,832,253,822,768,966,731,893,325,151,605,458,864,134,650,473,149,
867,021,862,180,491,337,289,365,310,488,869,687,837,151,925,863,778,229,107,
553,074,496,607,549,405,213,447,165,926,343,202,149,031,543,927,291,449,586,
243,536,851,935,477,754,858,155,099,230,063,659,810,154,498,999,572,297,631,
545,093,708,204,394,509,578,885,857,367,564,440,426,860,032,813,825,485,020,
033,953,194,145,428,366,305,037,855,237,420,736,776,518,874,449,868,759,325,
594,499,487,084,562,864,021,634,497,371,745,807,670,803,718,181,227,486,627,
505,925,608,430,274,482,206,745,948,225,709,754,250,331,952,782,638,515,183,
622,630,963,656,276,595,770,770,133,756,846,480,117,256,010,173,030,509,183,
474,992,309,684,702,319,751,514,572,976,291,532,155,644,793,889,080,419,996,
862,357,696,668,036,708,892,750,337,002,997,997,197,240,592,426,163,898,489,
229,086,699,903,196,447,349,302,665,977,283,359,680,836,988,912,209,001,573,
475,597,143,446,395,698,532,140,499,881,559,907,123,723,093,314,257,299,566,
955,482,860,519,220,199,191,764,558,710,807,736,436,828,619,086,767,206,447,
964,046,610,282,041,363,857,673,064,718,130,884,233,223,227,977,291,319,379,
616,614,649,383,797,469,141,705,398,424,754,136,008,419,146,297,770,071,309,
592,783,210,841,119,677,773,217,965,528,890,118,054,873,529,392,985,111,416,
139,288,130,271,605,172,589,014,249,198,534,770,164,766,039,321,989,730,630,
677,678,754,924,654,932,525,594,713,992,974,489,625,180,504,761,732,509,983,
235,490,023,092,755,466,772,305,675,659,422,577,764,876,665,874,207,022,497,
862,392,178,129,651,427,255,201,876,578,275,538,867,492,097,144,318,874,264,
409,157,795,967,579,703,728,724,568,142,546,472,095,703,481,002,078,491,877,
739,228,643,641,849,042,422,523,524,960,479,042,059,991,878,796,735,233,066,
977,277,904,546,269,188,117,423,097,688,699,499,124,645,381,811,263,856,763,
434,585,062,966,833,280,372,598,303,622,072,677,366,025,469,286,376,026,099,
925,206,786,343,500,307,666,422,228,412,062,649,796,031,146,291,640,144,436,
573,849,030,294,935,570,014,922,253,236,305,542,734,400,476,210,072,271,072,
265,254,378,141,483,187,238,460,631,617,868,302,865,297,118,629,826,930,106,
843,026,558,931,667,481,620,223,029,647,891,634,198,240,675,427,245,245,576,
210,322,273,086,689,124,341,081,192,698,175,198,201,917,315,817,577,529,556,
127,082,818,079,512,513,834,327,958,808,908,930,237,269,070,547,905,426,633,
004,158,469,335,165,012,362,694,813,380,240,033,415,890,706,093,035,168,933,
551,850,935,436,897,624,912,004,155,189,651,875,641,843,419,705,107,327,265,
109,190,865,956,800,190,178,664,547,721,478,832,578,579,826,660,079,811,534,
870,403,483,213,169,029,751,196,805,328,649,465,889,037,105,148,973,470,018,
758,905,235,972,884,723,665,504,255,542,435,735,192,590,356,261,367,129,299,
476,530,616,395,773,193,448,626,312,386,809,307,589,531,440,398,017,645,538,
750,387,175,224,707,510,037,216,173,689,936,152,813,640,026,835,174,512,441,
562,551,884,228,833,826,402,817,526,649,260,144,268,867,636,133,039,906,286,
769,314,652,814,650,736,927,629,050,976,603,444,631,103,724,605,761,628,361,
786,681,541,144,702,106,590,116,785,285,339,793,320,722,240,754,334,477,609,
962,200,814,096,823,167,044,673,779,174,540,962,636,495,465,798,991,467,442,
564,968,994,972,426,562,304,335,023,564,843,560,815,092,713,633,180,054,098,
185,074,136,908,682,886,826,465,517,139,050,708,213,408,843,861,907,291,366,
372,166,010,798,542,607,947,403,678,251,438,513,062,959,470,355,125,755,853,
421,161,714,019,202,564,102,438,626,665,328,584,163,987,690,783,714,377,232,
148,954,784,661,520,298,232,400,288,464,410,848,931,140,050,068,003,109,202,
688,482,656,465,479,671,929,529,846,418,891,640,019,451,429,972,769,330,953,
987,654,836,020,202,064,182,026,133,557,565,177,917,535,431,844,382,532,269,
641,780,382,075,459,645,105,331,949,171,431,455,701,401,337,600,102,427,939,
465,351,959,778,828,386,155,891,870,587,093,316,915,634,723,488,429,566,181,
557,305,512,163,859,584,841,649,694,720,312,273,794,733,805,123,710,414,733,
127,854,717,118,782,521,500,975,382,236,679,834,891,406,831,755,530,789,603,
295,542,268,592,245,394,565,057,457,209,454,838,888,534,982,435,603,826,167,
149,920,778,179,797,366,993,427,552,596,520,996,354,101,125,707,262,312,510,
153,044,905,004,754,861,964,135,327,201,411,604,939,727,270,234,194,567,780,
110,455,679,859,256,159,765,082,936,541,313,103,802,639,427,857,172,984,315,
485,446,592,703,654,020,868,817,058,733,256,442,506,628,343,422,349,148,043,
321,014,449,660,519,811,123,274,380,036,206,694,396,045,754,339,003,431,003,
055,035,480,249,965,967,039,501,211,060,724,541,153,097,829,691,113,937,248,
501,901,261,528,404,255,568,620,626,224,915,966,193,008,220,051,762,642,498,
077,309,184,684,140,499,911,950,617,923,877,935,904,205,244,477,759,046,174,
489,010,130,479,158,148,676,436,428,633,346,497,508,377,202,726,137,748,172,
435,087,945,860,236,810,594,212,295,654,169,529,472,027,380,022,320,704,633,
679,241,623,981,939,116,058,631,232,717,948,416,419,413,347,763,807,531,979,
028,775,914,179,616,702,298,056,243,118,380,216,076,978,929,608,852,462,311,
361,580,976,403,746,951,029,928,573,876,237,340,300,815,466,543,555,471,245,
196,273,662,413,001,839,724,960,676,043,320,759,920,233,088,306,901,111,066,
038,845,593,934,639,481,488,527,107,379,594,530,145,884,247,973,131,302,315,
958,330,862,565,351,389,209,285,342,916,628,250,713,856,140,432,272,150,421,
009,178,526,983,639,498,761,586,505,514,267,335,752,820,517,371,634,752,380,
341,947,652,044,412,539,760,773,088,296,235,039,703,296,029,221,815,739,592,
558,085,901,907,705,827,640,537,444,906,235,990,877,783,593,507,136,666,066,
210,277,639,911,552,819,308,107,868,200,491,243,101,016,202,876,261,469,137,
826,836,554,947,380,260,045,050,462,775,648,282,581,186,020,740,417,137,772,
423,717,869,985,540,457,959,302,481,798,647,815,591,652,454,395,789,018,464,
811,313,592,756,036,414,655,560,903,699,628,864,242,810,932,446,143,047,408,
486,693,867,723,801,671,872,165,104,914,697,198,351,313,850,555,044,583,113,
121,037,592,086,447,183,052,316,157,064,889,194,478,270,371,600,416,881,264,
259,746,512,611,806,588,931,973,085,242,927,251,076,532,306,355,304,126,349,
612,338,326,700,081,931,478,553,011,271,888,919,845,428,342,571,602,186,133,
842,108,860,122,773,638,934,455,723,679,667,262,726,591,345,861,971,558,236,
239,382,886,621,957,336,945,155,505,679,779,880,664,548,739,177,425,603,214,
291,221,172,231,455,935,934,046,878,341,693,592,441,440,146,811,611,948,150,
027,093,326,446,346,693,829,288,212,621,714,740,348,653,019,507,370,502,693,
418,025,840,111,667,992,247,142,355,660,057,122,544,536,480,480,374,017,980,
145,609,876,182,851,512,064,219,725,649,139,908,757,979,618,457,583,572,003,
954,835,192,562,267,971,763,637,142,497,417,091,073,654,972,649,237,510,386,
546,922,503,400,950,943,866,972,377,403,853,166,660,887,347,436,899,403,735,
059,228,171,627,217,196,934,184,265,813,557,350,579,711,259,499,499,069,928,
229,165,806,282,627,647,025,752,488,892,564,140,595,601,065,860,203,633,628,
217,383,218,663,886,373,376,444,289,298,723,755,745,897,710,006,757,176,041,
079,049,822,287,412,619,520,053,194,698,740,116,065,160,954,170,363,212,461,
407,336,351,235,276,144,139,026,137,886,056,098,678,519,166,324,660,616,688,
046,505,340,477,047,853,068,353,827,259,109,131,672,110,024,680,659,777,118,
477,445,035,003,971,639,544,853,930,356,406,091,242,479,821,154,344,819,084,
945,188,526,203,184,217,001,298,447,910,089,026,596,759,936,814,996,618,044,
502,144,419,957,389,288,003,560,825,632,765,960,155,835,021,631,512,077,832,
687,345,245,946,710,427,622,957,338,559,982,849,692,507,839,775,118,981,358,
013,078,570,033,951,573,841,928,990,968,503,278,049,865,397,238,163,931,501,
444,614,694,233,088,016,490,224,410,015,156,113,246,530,485,368,942,824,180,
451,097,973,380,363,529,045,876,751,612,939,826,403,285,361,391,570,523,860,
855,045,730,989,333,487,193,325,637,975,564,852,707,271,186,734,035,857,932,
511,024,142,015,947,787,180,405,203,785,808,311,459,050,876,020,974,266,308,
249,373,266,015,425,329,227,750,025,332,830,217,561,133,421,293,993,823,816,
398,296,199,674,434,692,559,589,666,794,033,383,526,123,481,340,493,161,083,
297,576,822,993,940,912,010,883,393,854,945,871,240,312,783,645,191,153,129,
857,201,086,041,345,697,729,957,613,654,534,794,544,239,818,725,933,917,364,
859,146,102,920,304,395,917,891,788,164,235,002,321,405,841,042,236,265,548,
802,024,300,823,380,405,911,234,235,742,814,167,010,671,625,368,789,383,905,
357,823,756,458,402,804,376,565,611,353,912,344,037,353,394,274,282,397,977,
848,866,639,104,700,878,469,025,494,601,695,158,206,913,202,756,541,604,902,
119,894,703,442,202,621,071,343,577,405,251,001,879,354,727,780,522,672,618,
163,066,758,839,500,707,691,425,258,173,212,844,579,301,745,460,614,139,021,
914,807,911,965,821,789,803,963,069,227,672,308,100,300,323,473,662,748,785,
297,803,718,447,086,484,649,862,341,910,438,140,895,254,264,325,260,509,208,
771,313,018,608,323,415,259,721,016,440,782,921,030,925,815,236,473,183,817,
336,167,914,961,748,583,522,357,328,412,367,788,466,612,800,387,795,108,566,
210,404,643,201,286,099,519,392,891,431,716,043,409,947,890,970,255,973,142,
205,108,013,149,542,745,244,565,196,731,743,828,060,242,374,813,540,880,191,
359,975,101,192,128,145,051,575,957,942,014,551,203,829,369,699,957,479,819,
124,952,497,429,654,103,848,954,434,878,251,231,267,326,727,902,456,176,742,
287,076,872,661,575,705,034,351,924,391,274,318,524,041,900,134,896,661,107,
622,027,394,119,233,790,488,823,411,887,788,185,927,890,194,638,821,750,370,
737,891,105,811,519,511,372,447,091,564,849,805,429,058,245,614,082,704,230,
168,504,479,877,505,546,444,943,150,419,034,439,927,676,837,271,409,982,251,
059,441,040,245,539,074,946,981,212,907,442,329,342,205,299,061,946,524,199,
103,989,363,262,946,457,863,685,859,166,751,614,391,017,135,664,989,295,148,
540,119,367,416,673,853,004,815,384,988,544,075,712,625,674,088,845,291,782,
052,544,995,632,475,428,241,908,141,925,305,407,446,996,992,748,559,931,493,
523,406,558,063,635,076,276,499,347,673,548,610,427,179,299,905,458,147,393,
312,757,094,480,032,682,025,598,928,800,235,067,046,428,442,065,433,798,702,
708,558,796,999,011,657,144,980,307,555,069,591,809,831,779,899,678,128,204,
417,869,193,194,018,244,185,846,172,955,304,644,290,062,428,081,657,470,343,
161,435,437,696,170,156,625,768,549,708,654,459,142,567,762,611,259,176,253,
696,340,555,166,150,321,553,819,652,137,509,748,450,576,200,749,311,568,864,
803,706,755,445,156,590,052,652,832,831,348,122,427,978,714,645,968,599,438,
145,903,073,402,098,265,136,454,138,977,335,590,882,006,200,944,658,990,467,
317,917,816,507,941,501,161,919,384,042,814,130,481,771,332,707,193,567,230,
153,238,055,459,107,548,460,439,764,551,383,611,806,234,447,935,472,461,768,
970,477,958,051,526,731,377,261,797,734,537,900,983,066,317,874,142,950,506,
221,648,375,144,111,333,696,318,636,963,718,347,091,637,532,131,697,974,249,
131,014,891,698,004,733,586,627,897,100,938,910,396,614,151,855,261,908,693,
534,976,395,549,063,189,096,235,748,901,960,677,787,327,245,467,910,129,055,
611,205,846,268,198,376,890,011,974,269,707,979,089,977,943,049,882,318,795,
297,440,287,451,027,994,598,521,391,548,041,341,610,898,654,509,625,105,377,
326,594,059,551,343,073,083,713,234,597,605,661,392,911,785,882,695,856,489,
190,373,476,236,805,526,263,722,815,445,120,487,456,320,097,774,888,893,277,
854,953,773,194,969,574,925,626,262,252,885,982,423,490,512,773,745,586,837,
481,744,187,108,530,246,383,861,116,565,522,810,424,333,007,461,858,875,341,
972,268,183,404,441,613,996,960,866,680,187,038,079,050,800,687,026,509,438,
250,334,944,757,154,119,450,171,603,197,821,321,500,398,642,236,855,754,633,
443,125,950,449,411,993,310,059,521,302,175,223,744,064,636,583,213,603,838,
842,391,006,290,809,607,930,017,498,505,233,674,176,716,795,654,606,393,919,
078,314,537,883,661,633,961,570,050,221,244,487,991,448,265,751,189,734,468,
493,855,076,368,128,552,191,499,044,260,738,289,940,641,593,042,639,036,759,
434,523,209,448,066,249,873,261,939,464,175,078,304,846,283,176,259,188,605,
435,695,264,281,464,569,755,331,380,749,507,903,026,707,464,135,152,819,687,
354,128,380,600,073,034,914,847,158,214,438,944,251,723,770,590,083,561,798,
481,779,962,318,861,323,512,201,073,387,820,979,849,041,440,632,225,453,297,
403,709,000,658,524,447,431,001,555,528,379,465,414,571,275,114,254,670,718,
890,705,755,299,220,440,029,023,473,583,444,811,654,640,028,289,723,165,115,
947,861,039,798,436,922,081,224,414,813,292,390,551,468,292,278,910,951,827,
824,082,421,547,789,839,052,551,785,590,858,527,290,130,017,337,507,756,467,
385,297,677,832,613,066,373,400,861,039,731,835,828,658,626,604,553,506,149,
232,932,929,208,343,344,064,417,596,484,950,950,456,683,579,779,274,709,674,
157,193,332,921,814,179,798,107,981,335,479,871,429,516,635,465,289,471,004,
598,922,102,883,880,464,085,434,991,946,781,051,425,695,328,769,040,402,052,
203,483,565,081,761,894,380,771,486,635,544,172,647,850,504,430,292,703,011,
444,239,204,803,093,288,331,183,311,975,821,048,073,368,798,773,769,532,899,
722,274,665,776,012,567,465,279,276,291,763,798,211,136,266,356,498,148,247,
456,425,649,459,205,104,008,229,357,144,224,391,070,331,365,481,757,113,132,
719,930,404,443,936,799,375,694,838,674,091,534,095,579,624,541,742,030,376,
444,970,208,568,322,001,958,175,929,036,470,088,252,025,276,521,518,152,510,
307,918,553,802,296,390,133,150,088,002,507,134,918,304,210,001,586,363,738,
962,208,152,269,886,322,013,231,694,419,246,222,545,271,249,989,283,513,280,
263,890,425,592,564,513,916,588,264,928,233,060,550,876,463,870,880,688,506,
366,866,964,947,375,419,843,260,457,529,844,441,362,908,092,592,336,557,177,
360,758,090,644,711,451,736,522,110,282,225,818,199,909,488,162,820,640,820,
810,097,846,943,797,251,774,922,404,237,958,883,276,166,663,626,059,979,075,
690,269,999,324,241,912,901,534,359,735,485,550,073,357,933,063,746,756,041,
457,893,083,239,647,421,472,020,760,100,443,798,947,809,573,456,164,612,456,
493,293,754,883,977,912,197,838,984,949,258,164,034,100,014,391,986,584,703,
255,571,198,950,492,544,676,450,322,529,636,246,715,533,746,207,621,642,309,
906,705,978,218,301,556,825,582,525,945,676,142,878,687,703,592,184,425,897,
808,762,219,535,990,997,835,849,678,862,193,558,621,673,445,373,750,824,098,
248,179,412,298,402,543,492,604,544,953,298,940,142,332,765,218,728,447,002,
081,121,823,685,951,688,110,900,790,469,309,438,633,801,514,375,062,001,798,
172,480,437,617,336,417,848,306,695,999,163,316,975,630,244,499,168,120,782,
278,495,705,385,322,843,891,432,010,784,011,852,647,079,566,050,476,807,988,
541,094,977,505,876,050,244,305,221,641,160,799,154,185,750,377,089,786,723,
701,269,898,721,704,480,920,354,394,767,041,560,203,369,097,631,342,193,431,
375,089,342,960,795,883,246,401,145,573,987,848,576,921,528,227,002,034,334,
097,807,256,998,245,059,166,265,683,944,871,628,602,434,710,280,919,441,775,
591,751,590,610,442,637,950,847,092,991,543,438,279,538,063,014,525,812,101,
990,229,386,486,758,515,553,588,294,976,451,940,227,662,865,694,032,610,673,
663,915,546,613,405,383,962,371,083,218,728,025,322,547,063,327,581,668,475,
518,800,116,030,588,392,104,136,884,653,727,713,074,975,169,118,796,256,578,
339,426,285,244,374,020,865,291,850,728,936,155,213,799,427,920,072,605,275,
136,909,214,423,770,370,404,582,815,268,645,143,573,784,000,221,416,910,157,
641,377,191,969,745,622,590,779,007,347,312,936,770,648,150,213,402,977,026,
817,679,176,513,351,597,983,503,282,700,794,540,138,125,110,335,900,103,800,
786,070,013,578,095,023,619,769,285,219,419,939,877,277,820,675,065,583,104,
226,875,451,087,555,983,724,419,476,577,639,648,058,748,007,477,560,325,210,
800,499,851,160,429,268,775,123,394,536,205,646,150,318,991,218,994,396,371,
219,910,325,173,197,434,077,567,134,735,369,473,483,233,506,059,122,681,132,
788,338,800,093,917,636,203,450,611,705,381,061,981,747,931,665,833,749,290,
565,301,658,540,436,818,404,972,270,483,429,991,207,410,176,299,576,771,514,
979,002,889,757,067,118,472,256,062,478,012,635,509,165,426,500,685,413,431,
849,446,917,547,367,749,921,775,495,865,634,354,151,661,422,389,505,709,464,
761,646,166,234,518,296,697,474,945,256,159,268,160,055,040,085,094,607,479,
248,362,552,455,044,886,200,399,201,755,539,610,901,469,478,775,730,395,377,
956,801,019,785,936,897,220,561,755,999,365,852,648,397,280,811,587,807,319,
354,133,617,757,332,891,657,460,305,654,794,149,259,638,143,389,561,339,464,
171,068,853,275,071,257,309,690,307,222,451,418,992,427,351,081,139,498,972,
406,255,118,837,690,232,237,007,633,429,408,715,584,154,608,068,731,989,845,
900,896,364,059,966,553,413,832,098,544,640,737,208,797,537,204,986,097,964,
026,754,922,791,915,497,552,124,370,170,141,050,133,325,809,533,227,349,220,
378,651,004,180,642,717,083,014,410,978,191,457,540,325,187,686,450,170,223,
141,058,925,324,636,777,709,697,026,995,904,213,736,365,979,202,516,011,360,
388,426,728,859,631,829,693,834,213,780,308,095,512,072,929,454,905,115,750,
481,241,472,045,368,964,864,900,811,217,471,314,444,866,101,404,310,687,295,
439,344,608,262,732,348,140,359,892,058,876,241,877,465,009,740,811,942,166,
617,876,344,817,039,554,913,926,884,709,833,355,856,777,969,826,039,783,753,
166,374,647,019,450,775,156,776,830,144,344,262,607,018,262,194,105,236,023,
361,284,961,947,770,314,570,095,889,463,622,525,513,571,472,426,973,238,730,
915,447,733,735,666,811,411,124,957,442,777,421,798,225,576,404,586,159,659,
919,546,469,513,490,930,049,225,798,138,379,201,383,371,399,313,936,965,073,
823,792,836,576,136,889,793,525,651,593,529,099,445,467,881,667,198,789,727,
932,869,872,658,767,254,681,266,703,852,725,496,701,000,505,653,384,359,808,
594,926,841,984,164,616,720,006,962,281,164,701,303,913,952,977,782,403,207,
734,775,657,051,343,257,475,886,176,201,562,969,106,621,546,694,257,937,509,
493,729,797,056,779,438,588,673,196,558,422,762,772,608,220,618,713,359,710,
978,398,735,623,154,288,524,240,165,047,749,786,360,846,291,837,896,583,102,
895,310,679,754,669,494,546,639,821,679,920,229,985,745,113,773,395,607,119,
734,086,898,505,986,696,280,182,696,055,783,707,000,214,689,424,435,591,599,
353,699,962,722,571,444,765,556,508,542,209,374,115,665,225,626,455,067,222,
703,378,415,696,584,471,671,283,258,342,043,442,922,857,774,356,575,190,344,
693,935,354,811,529,654,266,914,251,024,307,747,831,796,911,490,157,952,334,
890,082,719,784,150,187,457,786,144,328,106,793,536,800,325,014,042,513,617,
214,558,699,525,953,252,273,795,219,156,532,454,745,080,095,236,000,713,364,
621,352,512,956,426,549,318,520,176,709,111,055,902,592,838,331,654,261,035,
912,798,041,243,431,107,561,858,179,464,451,802,989,661,152,314,275,206,481,
903,473,033,848,295,054,635,155,519,556,025,164,014,218,072,586,579,470,808,
947,581,872,732,144,036,824,625,139,116,780,990,962,385,584,866,652,192,164,
775,807,364,409,244,203,815,115,704,208,478,121,795,066,012,870,278,615,832,
373,103,869,471,080,378,692,048,924,117,733,053,908,874,136,437,215,648,033,
445,551,562,504,398,296,869,055,985,698,336,283,709,388,579,040,648,162,051,
580,901,676,652,434,418,867,800,890,703,640,783,131,160,515,829,711,468,286,
436,268,354,590,830,994,364,555,219,056,443,472,491,535,588,641,452,650,091,
915,892,834,457,748,726,019,648,629,245,325,860,861,565,024,942,754,941,312,
219,926,070,107,567,557,078,991,587,531,451,956,138,821,139,070,878,846,861,
710,536,124,243,592,196,874,381,851,864,769,829,042,490,261,400,654,853,095,
915,456,201,775,590,029,359,218,894,857,549,142,163,519,164,166,442,664,284,
043,839,374,785,294,405,270,313,875,160,384,013,326,017,818,962,474,233,580,
055,853,382,066,415,770,248,150,713,458,583,909,563,374,559,654,150,273,932,
875,012,538,577,552,126,240,951,400,274,265,093,985,889,663,834,256,919,006,
242,073,191,886,581,303,582,535,309,607,875,401,137,268,831,525,688,565,956,
433,678,849,605,831,513,309,148,839,099,362,083,708,084,830,392,638,713,628,
026,986,100,461,227,097,823,024,175,414,514,102,096,237,566,648,295,743,685,
389,151,047,455,724,919,953,057,047,498,148,272,360,216,637,316,576,166,631,
065,849,870,659,850,552,561,242,076,650,647,269,626,464,628,571,029,666,295,
119,460,303,650,215,713,617,719,756,798,643,520,891,485,442,453,851,652,213,
118,341,531,686,018,717,564,374,167,313,551,645,969,911,203,551,445,483,271,
762,784,133,608,593,469,022,340,462,509,510,150,429,056,756,674,659,456,612,
815,071,714,783,013,661,502,931,620,188,693,554,938,327,658,653,298,609,807,
549,584,730,974,755,053,362,189,959,861,058,342,958,901,121,146,024,188,479,
432,461,137,524,540,533,372,047,648,091,214,152,242,716,498,011,770,603,926,
176,228,152,789,755,293,372,915,893,246,090,692,453,366,732,926,857,135,195,
418,785,430,048,229,819,801,876,455,284,456,385,251,147,978,461,359,455,197,
074,376,360,468,549,530,200,642,932,821,671,576,296,673,820,922,895,010,759,
800,463,100,249,963,129,396,785,574,879,044,732,733,421,034,390,530,595,984,
915,692,588,136,053,294,137,012,076,568,324,106,389,706,119,958,021,489,467,
158,462,935,917,305,500,573,379,432,996,841,932,120,650,460,583,113,593,603,
080,257,671,336,734,767,808,938,022,300,711,881,261,178,812,997,635,158,633,
405,847,128,017,817,345,914,973,156,874,915,476,677,791,046,505,776,897,680,
160,739,324,404,208,485,505,418,543,341,825,616,351,689,802,837,418,668,290,
683,006,711,880,329,788,072,385,303,963,906,801,525,450,079,242,640,747,507,
288,681,654,317,332,124,573,981,178,441,886,258,399,049,886,889,039,216,003,
349,330,387,710,490,991,755,855,043,806,579,605,608,529,432,562,894,515,576,
651,340,636,966,266,503,812,182,343,387,059,617,990,156,027,867,480,458,380,
365,329,826,377,883,383,244,520,164,251,357,720,709,837,725,047,552,462,973,
301,354,011,999,076,606,662,766,318,831,877,344,891,657,944,329,031,988,059,
368,329,895,308,084,673,483,767,762,194,124,272,986,517,108,252,682,260,292,
009,633,729,734,875,786,536,726,659,292,661,609,735,201,806,898,177,681,817,
036,625,262,380,985,233,960,709,443,189,700,579,191,618,283,726,200,930,873,
624,367,427,433,890,849,047,539,651,383,503,054,955,376,957,623,490,425,251,
274,109,619,811,453,856,656,431,695,903,680,019,936,875,350,321,596,746,863,
597,690,169,755,171,965,330,685,000,108,475,735,999,121,452,834,368,394,873,
686,758,269,191,065,401,369,051,188,707,243,167,368,261,874,826,269,488,316,
421,662,035,707,416,848,848,907,945,736,253,959,614,126,303,682,872,489,390,
721,239,194,871,028,425,646,822,752,782,236,134,774,547,586,046,880,699,308,
732,437,949,780,491,783,330,220,178,294,486,136,005,783,710,835,680,579,676,
983,672,369,276,850,895,403,885,698,521,102,976,422,524,127,402,401,299,364,
558,728,600,995,051,263,680,151,817,049,623,581,470,759,513,339,638,169,647,
755,623,288,650,176,217,031,958,838,348,577,999,748,840,020,118,454,430,096,
358,578,964,612,644,608,002,136,537,777,206,886,032,972,075,953,917,733,285,
676,747,468,287,123,019,295,028,197,343,912,893,886,206,773,060,155,988,176,
189,676,910,523,117,152,527,649,782,391,284,598,796,939,496,146,090,379,497,
689,931,683,846,875,287,911,845,202,371,815,306,241,087,064,683,158,189,211,
279,694,495,875,651,833,321,863,195,428,886,553,837,424,696,050,561,964,787,
775,279,486,559,445,350,221,638,748,260,002,182,065,758,770,741,139,625,741,
678,686,647,769,949,099,387,261,175,135,307,829,550,733,166,979,665,337,013,
560,292,896,300,375,800,374,695,835,126,937,232,505,906,588,648,986,135,262,
083,467,080,838,753,465,509,095,321,534,301,057,480,761,428,447,450,069,825,
962,265,505,610,117,096,221,778,252,520,276,132,690,303,203,672,414,848,935,
299,353,396,048,023,637,047,163,138,636,118,098,193,917,740,493,044,294,238,
814,091,132,852,625,922,844,757,125,026,924,261,211,844,088,066,012,042,623,
460,452,170,733,459,619,826,264,660,637,993,619,546,335,572,010,219,252,027,
826,588,569,946,056,988,329,647,198,433,209,881,420,958,706,967,551,736,855,
226,214,467,941,822,906,357,002,296,523,642,875,285,673,768,266,153,105,327,
852,664,078,900,629,781,268,572,315,003,118,097,449,091,218,966,365,347,413,
728,813,037,521,250,704,181,301,254,030,613,870,956,753,754,673,769,041,294,
291,926,582,900,191,902,803,345,815,954,509,044,085,554,871,116,697,488,031,
752,646,162,623,575,768,432,562,040,593,003,630,113,626,399,073,762,291,502,
184,547,830,903,094,211,278,589,474,314,985,553,856,754,730,571,663,194,968,
952,442,900,324,657,273,401,350,678,051,922,133,094,463,416,839,514,646,292,
080,974,273,368,921,922,551,009,479,327,060,142,153,310,410,769,486,075,855,
083,817,740,383,412,063,659,827,296,057,814,017,876,779,536,045,384,313,115,
133,751,439,286,162,069,837,692,175,363,641,379,068,791,803,499,753,000,326,
104,179,766,864,969,955,778,880,824,491,837,554,220,263,038,062,352,592,098,
238,004,775,167,935,302,947,673,904,874,064,201,278,213,671,354,939,961,211,
547,807,688,927,402,266,657,283,825,003,632,232,607,865,490,459,988,016,568,
267,578,689,318,424,080,583,966,259,984,117,101,929,748,458,798,597,390,163,
684,037,200,981,495,840,874,034,128,899,540,273,283,026,134,884,736,716,044,
288,122,404,934,276,305,552,391,603,066,796,011,909,720,869,327,287,834,283,
602,265,911,256,785,765,225,880,681,420,615,672,753,420,744,745,045,385,359,
268,704,335,084,404,558,026,751,798,054,546,049,911,125,564,481,733,796,738,
807,978,951,915,101,212,963,625,008,255,933,746,117,541,533,634,926,493,901,
427,907,822,876,037,154,928,116,277,184,614,399,483,521,264,148,869,885,818,
757,399,008,561,342,689,838,854,284,238,716,229,745,723,307,221,661,479,682,
380,645,522,385,321,141,809,788,647,637,853,521,833,863,392,354,242,131,526,
152,137,405,753,128,209,340,078,779,621,510,496,718,127,335,501,000,509,759,
894,445,646,047,753,139,837,371,961,707,947,833,854,712,660,382,899,381,296,
923,760,781,334,922,804,275,039,508,657,351,801,155,960,708,980,779,759,793,
770,401,825,037,521,172,455,949,549,276,158,847,711,609,544,879,010,531,869,
520,004,412,549,440,243,419,347,354,859,100,167,127,146,697,141,155,378,101,
030,635,055,859,234,620,354,658,447,699,327,472,468,000,583,505,577,414,760,
047,859,024,342,510,125,845,818,926,415,403,875,845,668,565,394,983,824,412,
650,118,804,747,817,263,231,025,715,947,852,654,542,191,666,500,278,990,152,
889,316,495,662,704,694,848,467,063,381,049,295,468,050,222,693,121,153,389,
485,487,878,932,230,729,017,217,192,509,859,875,277,558,667,312,222,104,682,
440,244,890,850,431,843,616,808,514,259,480,691,619,707,843,036,524,483,430,
029,295,636,619,215,845,966,669,166,320,759,526,077,179,909,266,816,697,644,
473,460,899,746,605,880,333,029,938,513,595,229,661,170,550,863,800,147,528,
860,790,578,587,123,339,819,009,529,407,271,848,265,335,748,238,182,650,786,
272,671,041,131,468,013,724,650,011,661,037,067,735,329,213,642,415,598,791,
151,668,974,242,667,840,504,989,402,005,611,022,066,696,994,205,764,820,948,
576,832,972,020,321,753,478,772,714,332,371,756,286,030,092,549,017,323,722,
943,136,339,540,742,433,208,406,325,655,044,434,467,158,916,413,478,344,056,
556,991,006,578,358,077,072,097,460,903,367,733,987,359,455,114,517,116,252,
073,557,946,517,338,631,055,773,629,532,715,984,973,409,187,337,025,645,012,
930,848,085,763,549,174,255,776,506,486,444,513,330,452,521,657,832,056,963,
430,246,116,382,332,625,127,976,550,543,485,870,240,760,670,669,014,014,474,
646,466,720,982,083,329,566,656,983,077,477,113,128,248,847,010,576,324,858,
732,766,053,487,907,770,057,015,954,748,144,701,321,181,079,253,522,341,930,
673,940,511,429,192,108,257,852,510,744,629,693,244,899,878,993,712,885,039,
789,566,261,654,383,501,760,242,473,905,537,216,832,382,544,627,717,042,858,
783,336,963,049,546,369,691,809,329,302,986,138,458,769,727,684,325,285,911,
689,715,487,089,369,007,570,275,220,929,386,398,772,629,273,561,561,170,586,
615,162,948,533,588,955,830,547,807,147,929,720,001,654,732,168,784,823,950,
296,601,942,938,120,471,979,072,292,213,906,269,500,268,151,797,329,794,180,
773,076,320,461,833,093,770,355,752,191,505,782,953,877,853,058,879,964,567,
523,452,776,431,412,235,048,676,997,351,960,859,647,637,218,881,178,891,868,
945,741,217,113,745,497,786,912,872,787,472,515,165,525,964,412,956,284,881,
059,539,975,975,135,699,403,875,891,677,076,696,836,018,965,047,141,856,910,
388,991,971,087,877,615,802,781,067,263,276,083,957,379,416,422,955,741,086,
381,410,433,807,694,421,596,520,063,900,102,668,102,230,266,261,678,975,331,
412,977,286,954,589,196,006,849,814,019,633,046,346,132,852,273,983,287,135,
675,020,010,027,861,137,372,343,601,076,564,604,136,881,870,162,469,165,512,
090,567,734,091,321,913,591,581,062,646,469,179,045,644,114,208,740,692,334,
725,085,088,799,263,540,140,101,596,987,101,448,038,966,812,405,166,295,150,
454,189,952,018,353,001,353,696,583,758,106,824,862,049,577,445,906,678,598,
401,105,169,956,442,301,414,936,438,340,072,947,664,837,722,791,953,101,299,
582,843,096,133,856,394,372,490,950,072,439,882,629,926,722,629,946,987,024,
534,721,370,691,599,075,149,783,296,608,625,759,457,781,235,521,011,332,379,
235,680,324,015,898,495,764,284,394,794,890,828,654,885,032,462,268,341,409,
603,298,219,376,469,811,311,858,030,485,580,181,842,890,267,977,972,509,629,
955,677,405,059,456,147,927,793,354,303,716,653,172,761,414,510,207,622,014,
284,885,533,209,527,734,603,794,318,534,879,145,620,660,856,817,679,106,596,
741,371,327,006,976,407,301,421,498,035,651,374,503,085,340,062,106,211,682,
494,831,284,669,544,295,461,995,475,353,828,978,983,852,476,214,537,558,230,
446,599,296,640,256,277,443,967,260,041,116,125,557,681,959,564,646,576,296,
193,623,653,037,203,317,721,975,476,090,331,444,233,489,697,210,341,236,741,
976,738,945,452,852,456,831,103,201,890,100,785,802,272,862,838,861,132,635,
041,602,811,313,579,334,973,315,331,857,679,850,924,732,022,539,774,043,084,
601,346,053,110,725,131,850,877,191,887,810,042,997,434,990,203,070,022,822,
529,255,636,760,111,998,144,737,025,470,863,714,905,028,866,450,521,114,306,
736,832,245,553,675,543,916,237,814,645,204,473,293,186,024,821,073,277,303,
843,479,639,814,235,712,341,913,819,181,316,489,088,556,798,017,632,677,319,
424,336,143,431,527,980,430,924,553,916,870,817,965,258,432,419,070,789,614,
172,793,354,272,554,318,490,289,473,772,665,530,423,097,765,219,280,769,162,
831,337,421,707,560,983,978,118,607,687,709,622,702,713,987,014,810,822,416,
720,436,902,770,967,507,969,494,512,342,614,911,184,595,401,651,860,975,185,
752,242,710,112,631,464,841,478,488,041,716,900,492,264,143,146,873,990,585,
685,260,895,428,902,540,490,616,978,030,332,273,541,376,484,257,481,860,064,
735,317,327,958,835,031,257,399,865,192,379,658,746,460,969,093,993,034,437,
570,275,929,258,767,202,723,642,717,513,368,599,172,449,993,830,563,529,976,
159,529,844,740,775,512,640,043,536,749,854,063,608,279,206,132,862,049,483,
495,767,666,992,228,017,665,313,346,322,374,374,105,717,771,974,732,310,476,
722,531,129,468,639,480,999,262,199,553,528,478,722,726,135,750,696,496,687,
197,637,099,129,913,395,464,661,224,518,973,258,000,176,438,457,457,280,321,
323,517,099,060,981,547,972,528,426,674,972,752,426,909,133,488,491,528,294,
445,017,566,107,548,455,683,196,333,351,263,145,412,831,956,462,359,205,613,
841,911,021,652,625,840,421,714,918,784,368,940,558,281,033,920,258,408,274,
881,600,165,108,840,222,737,123,362,221,779,169,128,675,424,129,972,419,639,
904,475,254,122,300,206,140,741,188,801,285,492,812,446,417,797,558,620,676,
706,971,197,745,853,092,567,740,563,995,545,140,430,670,322,951,099,722,360,
840,846,642,291,018,693,409,022,163,763,789,790,604,257,798,465,180,779,606,
455,089,517,014,964,670,237,669,718,069,629,613,206,165,581,575,538,804,261,
619,957,662,112,061,336,187,335,592,846,751,304,997,733,221,587,943,414,303,
127,143,019,529,449,757,750,009,120,561,925,798,818,244,769,570,198,780,591,
994,757,051,706,888,081,830,750,128,858,519,523,678,912,049,314,169,962,568,
774,970,869,442,762,980,376,665,610,117,652,468,722,397,356,100,771,699,797,
175,085,045,709,426,382,649,955,627,212,315,732,052,638,844,431,430,473,071,
450,619,692,166,274,463,056,810,752,002,599,813,162,294,380,304,520,919,120,
791,105,034,894,459,588,366,711,647,821,689,191,055,287,033,242,422,231,933,
531,115,124,722,455,949,501,037,605,621,664,120,836,244,424,967,214,589,691,
360,786,918,752,648,822,710,651,854,821,903,590,926,440,450,971,207,453,898,
488,612,255,501,623,567,910,664,971,394,873,423,786,699,823,217,604,876,574,
034,173,297,524,139,733,777,748,851,491,854,304,497,435,486,301,267,117,027,
693,130,632,712,751,400,019,222,161,354,761,055,131,263,022,957,757,928,856,
007,589,798,728,001,466,293,248,826,360,838,546,235,553,233,344,282,682,139,
802,405,181,893,148,258,060,015,096,563,691,275,687,095,003,968,351,952,093,
579,046,267,241,108,955,022,832,170,990,890,517,170,903,351,693,052,731,209,
760,217,754,804,514,404,856,452,333,234,882,216,198,276,609,463,788,738,374,
666,412,135,129,826,317,951,092,722,456,869,682,582,854,877,475,002,573,412,
463,981,500,727,725,005,149,800,378,464,359,084,270,188,629,075,650,648,363,
941,301,708,992,331,054,118,219,978,990,189,092,818,257,958,517,574,521,635,
133,249,305,186,314,575,084,039,998,396,120,090,103,257,958,765,068,832,242,
206,357,947,703,532,222,146,697,174,025,470,603,764,912,976,095,400,983,550,
595,037,772,160,969,267,972,091,962,501,178,968,023,528,568,856,563,997,022,
868,556,955,891,714,728,339,746,342,254,536,622,009,857,191,916,220,134,227,
586,788,449,430,253,361,242,475,879,418,133,675,997,603,629,775,517,895,145,
977,950,986,031,989,016,171,320,796,086,130,884,860,184,101,942,938,223,078,
443,147,793,242,142,833,435,655,101,284,472,355,577,379,597,365,464,394,842,
216,725,365,457,737,696,964,010,775,104,442,473,375,920,673,341,647,156,341,
719,373,968,893,438,113,492,817,860,178,784,893,454,354,411,590,300,345,516,
125,400,180,823,380,505,785,557,459,420,734,925,603,771,889,706,989,622,077,
340,729,301,461,384,159,313,277,474,776,365,858,420,023,743,706,018,034,678,
333,489,442,238,326,870,897,011,244,796,285,122,785,263,630,369,790,513,006,
279,708,286,650,918,573,002,956,670,734,360,400,734,973,869,009,310,913,309,
821,150,529,070,720,117,586,533,616,292,849,049,421,755,409,272,721,128,405,
062,277,469,786,770,377,883,810,329,030,873,921,972,853,198,158,008,075,596,
525,239,812,276,289,705,822,550,087,241,359,008,900,008,951,849,336,374,971,
438,548,842,298,745,709,293,333,900,849,547,000,458,382,267,816,820,199,283,
031,436,470,733,757,762,271,412,628,908,789,625,499,691,155,634,785,195,735,
897,053,383,193,017,308,959,271,766,160,384,662,985,687,919,248,974,100,851,
512,450,164,502,494,182,488,012,053,147,610,949,131,245,489,896,741,624,409,
226,006,545,252,378,371,906,498,989,816,925,602,239,740,351,957,154,217,837,
461,477,544,548,793,595,886,036,222,515,951,024,855,969,561,266,037,012,801,
016,483,353,484,393,531,158,724,600,295,552,877,567,820,631,456,168,117,692,
539,668,034,737,846,243,566,579,301,918,151,119,380,747,492,259,257,895,799,
763,620,501,452,615,281,264,258,929,400,868,279,788,069,999,509,070,532,565,
689,639,178,612,575,354,772,840,650,315,330,151,695,819,176,981,442,382,691,
340,942,947,651,822,508,746,953,632,635,228,401,928,957,960,552,724,923,364,
791,993,243,051,178,881,313,381,400,040,775,892,789,756,249,138,534,486,267,
470,531,314,559,909,019,775,244,334,995,544,870,213,142,850,731,120,399,154,
098,244,080,691,752,674,076,844,203,364,462,639,391,271,035,285,821,545,772,
906,086,689,373,537,735,771,251,206,617,085,854,920,712,635,047,614,416,786,
242,474,256,911,665,284,491,757,682,648,494,606,343,214,729,963,114,543,388,
750,581,105,106,240,250,057,114,943,668,878,691,991,537,623,380,035,784,328,
691,505,315,144,592,977,769,185,867,564,664,752,246,862,761,592,904,987,567,
957,991,343,641,044,921,930,206,775,444,370,862,574,612,775,185,330,969,537,
149,558,490,452,998,273,925,411,852,023,113,627,242,641,114,915,032,760,380,
199,816,353,684,794,883,157,609,839,519,853,229,155,034,204,182,462,472,534,
903,489,311,303,404,299,981,531,597,352,303,520,603,896,647,637,283,189,823,
562,646,018,741,486,051,244,653,231,805,077,252,558,556,230,988,647,471,123,
516,600,370,203,500,093,703,199,938,199,006,327,637,450,911,080,223,924,616,
092,098,024,427,250,549,211,176,890,581,927,354,590,046,841,732,004,965,683,
433,829,309,249,038,048,947,419,405,572,642,637,733,453,714,848,387,137,736,
043,500,620,986,599,106,875,323,641,621,349,205,491,822,070,158,164,020,132,
526,870,305,622,562,848,011,158,814,376,795,312,678,319,926,488,975,171,936,
505,668,300,932,320,098,552,533,382,511,449,418,955,615,343,737,005,787,846,
616,919,630,072,146,044,853,519,647,835,109,595,933,718,477,231,865,595,702,
908,869,629,458,997,318,107,912,166,544,119,950,784,013,152,236,624,347,757,
444,416,285,812,739,272,418,673,206,107,711,177,404,759,126,986,994,969,941,
467,790,144,506,401,174,519,489,755,054,513,848,582,254,095,717,316,733,742,
395,725,211,680,612,262,056,703,213,997,247,497,533,850,260,064,342,836,420,
361,117,324,436,284,378,006,813,895,455,184,629,420,086,121,103,695,212,868,
806,633,757,294,975,380,897,729,761,574,964,511,683,803,752,532,567,190,334,
882,911,952,775,497,533,361,441,152,496,511,061,954,130,453,710,628,786,154,
436,112,035,735,580,548,985,920,243,511,816,195,753,800,387,158,343,357,516,
758,252,945,158,311,934,372,440,387,993,812,306,128,599,026,153,467,976,967,
185,250,627,778,731,273,293,251,639,439,074,391,626,829,149,708,128,611,517,
217,000,253,273,808,211,666,522,408,606,164,367,079,214,481,654,268,967,988,
803,056,895,670,677,606,147,351,531,152,841,806,577,974,867,313,016,728,225,
383,252,155,499,940,080,062,057,441,091,700,991,298,149,748,477,259,462,694,
939,627,805,508,945,509,911,597,902,855,059,139,405,410,569,241,026,922,262,
813,195,076,029,284,002,887,770,008,894,377,776,441,227,491,293,111,606,234,
537,950,229,378,340,383,706,664,508,723,538,427,981,284,380,336,948,740,758,
374,925,427,547,155,293,529,702,595,742,681,223,996,993,462,002,969,392,508,
173,290,513,710,351,962,331,912,041,029,538,510,871,239,828,239,409,250,351,
767,975,585,915,147,024,223,516,328,786,414,774,443,068,404,624,464,430,798,
688,780,145,062,399,179,228,911,290,268,603,808,018,208,637,725,946,630,388,
057,520,249,385,273,695,663,859,435,805,056,390,288,983,870,223,716,508,903,
856,144,807,343,798,213,411,568,857,135,186,320,060,097,199,333,256,197,832,
572,317,335,927,965,096,799,572,003,489,504,411,248,062,811,325,267,615,087,
784,190,770,362,080,004,333,444,463,638,692,904,467,517,820,775,696,808,134,
666,681,850,380,779,846,054,320,352,582,414,372,429,260,930,208,627,845,911,
750,693,325,309,190,047,737,897,397,620,954,927,581,016,571,310,728,257,196,
372,288,577,383,657,849,022,682,201,411,201,680,146,319,311,506,763,869,070,
189,636,249,218,144,142,220,508,013,756,450,224,866,903,205,361,736,712,841,
526,843,141,026,218,457,783,769,891,705,057,109,055,488,292,230,659,281,094,
442,713,608,988,456,255,772,403,917,437,622,983,742,134,714,399,406,418,685,
398,439,737,442,755,878,299,545,249,227,112,657,126,966,557,594,064,575,191,
238,633,144,432,302,880,077,258,198,904,813,342,218,880,307,523,712,083,957,
784,992,529,071,396,293,665,758,785,433,884,560,490,340,403,049,453,214,189,
634,870,057,455,087,506,837,598,628,892,650,873,161,981,469,317,986,678,634,
146,657,205,263,644,660,818,447,507,099,413,578,832,180,129,986,376,527,448,
741,117,565,283,130,470,212,829,954,003,392,487,513,159,610,175,482,316,291,
576,529,936,345,250,798,766,656,647,785,331,633,681,617,583,793,717,174,318,
802,606,295,549,934,581,060,274,281,580,132,103,170,899,824,603,349,497,172,
554,174,154,481,290,282,535,807,940,784,917,163,213,868,627,423,367,306,924,
917,574,489,861,200,505,013,101,177,874,689,358,706,346,781,729,935,818,245,
687,630,610,690,172,576,321,251,747,167,296,969,010,533,033,399,949,558,892,
615,684,398,056,325,851,501,985,461,832,260,180,216,716,812,610,670,403,786,
063,848,210,279,670,643,107,447,367,029,524,169,047,408,097,758,890,730,606,
011,790,619,119,972,380,863,160,508,012,163,657,085,141,125,457,211,280,444,
488,111,338,803,707,396,142,967,119,733,535,425,826,336,308,477,709,065,022,
222,784,882,579,076,704,239,327,051,121,759,792,417,082,118,655,439,653,620,
685,942,378,363,358,643,833,096,675,613,213,198,644,340,013,499,691,318,334,
430,876,837,263,730,869,530,536,393,905,792,870,121,282,315,180,121,877,789,
030,861,684,773,966,796,260,432,998,689,571,057,169,560,351,686,439,357,747,
585,713,704,833,969,716,955,071,802,377,553,888,559,135,358,420,011,817,152,
394,243,422,145,333,424,027,391,612,662,382,938,533,513,730,121,875,078,895,
657,327,183,850,378,754,853,757,924,128,675,014,789,957,510,134,180,127,384,
266,717,413,584,903,168,224,331,818,944,466,290,056,715,374,150,605,147,645,
007,599,469,457,426,137,695,578,810,184,593,797,417,107,229,429,697,043,054,
849,662,751,951,379,958,011,950,971,237,509,729,999,314,035,418,325,767,016,
108,506,858,590,269,994,932,305,057,461,522,760,954,547,150,143,554,496,448,
233,722,287,169,610,262,417,294,109,946,124,527,758,218,637,080,180,800,208,
195,777,928,145,686,139,649,209,762,658,271,114,254,539,725,024,345,868,233,
960,011,536,337,924,737,586,664,745,197,170,200,182,844,186,425,174,139,948,
047,483,189,060,908,375,706,959,088,302,103,486,055,590,730,054,977,803,096,
829,861,982,418,790,094,619,882,143,755,374,583,972,548,884,685,102,091,979,
492,245,589,673,217,595,702,887,920,617,907,149,512,177,516,278,882,853,417,
910,096,719,216,295,455,983,542,043,104,488,836,361,849,299,856,471,457,101,
649,141,719,992,466,474,811,070,373,406,620,198,198,316,238,049,715,717,848,
755,062,791,413,126,684,530,371,781,416,114,792,179,613,508,831,346,572,927,
373,958,905,509,206,303,847,124,261,480,119,038,518,239,425,872,271,595,196,
624,603,539,229,999,964,650,301,195,553,317,047,119,825,432,971,459,950,470,
274,466,545,558,405,122,235,786,835,427,764,432,997,320,410,787,004,847,537,
804,614,005,072,154,621,772,041,149,124,270,624,127,546,940,715,472,435,123,
147,304,063,132,225,797,977,814,492,194,953,028,332,046,151,732,272,879,585,
075,643,545,481,949,102,189,395,824,540,785,477,050,662,423,995,595,955,713,
540,811,295,717,049,764,371,842,063,405,226,213,117,747,865,519,910,967,087,
440,439,228,827,854,440,057,553,341,177,083,986,383,346,605,922,666,664,769,
841,213,801,148,232,425,589,603,468,432,845,519,379,352,030,082,332,946,384,
316,929,568,252,092,559,975,434,170,616,892,068,844,338,616,937,227,500,907,
908,737,210,842,698,573,112,859,647,815,121,194,647,787,480,084,960,994,825,
392,304,257,623,289,581,835,976,346,121,304,537,001,247,787,997,212,608,338,
912,769,822,267,691,677,343,613,184,915,210,550,519,440,287,687,270,570,956,
592,035,958,268,281,948,336,371,806,271,797,994,153,440,938,750,545,867,801,
778,869,127,615,836,606,688,018,758,455,210,210,760,399,081,915,123,283,373,
808,422,787,829,072,856,467,012,030,330,546,052,606,210,619,133,697,124,748,
574,847,294,555,713,072,986,938,986,624,269,802,112,270,199,205,716,454,658,
944,252,701,560,731,601,628,746,180,685,675,107,289,206,592,366,196,727,507,
954,686,187,376,779,258,761,787,853,383,248,577,885,067,580,019,565,318,518,
926,837,629,181,497,506,554,464,126,669,798,732,670,106,283,498,821,295,538,
252,095,001,483,360,078,249,791,888,141,753,768,137,378,353,833,887,291,917,
889,186,782,952,177,127,637,926,641,989,155,766,482,579,745,877,217,163,826,
693,941,491,753,671,169,750,489,333,110,122,130,962,415,489,770,156,851,752,
824,011,373,318,151,716,087,266,974,337,896,792,116,380,452,465,829,426,651,
653,731,879,916,404,198,398,919,004,431,345,065,742,555,253,645,311,199,504,
841,235,277,694,832,491,400,935,255,609,493,281,357,635,316,255,972,782,115,
239,629,641,286,165,409,226,931,846,724,541,072,771,750,577,252,605,661,853,
361,128,374,540,776,477,211,389,918,341,390,448,051,162,579,323,939,529,064,
011,686,067,353,395,808,313,385,637,624,498,113,007,966,766,841,730,630,795,
812,513,456,203,589,639,023,899,544,928,201,693,682,916,365,116,609,004,527,
633,748,045,443,950,209,112,038,049,216,961,025,619,096,748,724,724,376,270,
389,133,653,535,066,895,686,609,099,539,776,224,403,362,695,622,378,492,357,
759,584,133,666,777,582,228,015,809,859,748,589,362,132,868,121,289,372,309,
054,692,322,693,797,412,064,265,045,891,581,867,372,776,986,403,478,707,041,
057,616,478,808,113,408,370,373,989,999,121,809,286,030,707,447,146,433,907,
023,587,534,799,158,927,420,629,822,165,121,448,645,633,947,961,779,917,596,
645,219,774,959,954,651,914,813,023,283,197,673,151,044,754,554,921,075,143,
420,754,810,624,434,159,508,562,880,997,614,395,563,412,291,467,621,838,797,
875,937,981,449,515,096,437,182,537,838,600,709,640,892,693,183,860,955,306,
842,622,277,694,761,604,542,954,730,388,133,463,935,468,667,323,714,886,572,
213,984,059,484,134,174,612,584,912,356,331,211,665,683,163,555,935,723,742,
784,032,882,935,716,585,873,540,297,190,091,485,153,797,198,281,814,484,754,
764,223,555,522,050,111,856,125,681,273,298,175,176,982,311,095,816,653,816,
209,075,360,503,872,211,821,826,601,992,387,919,421,762,149,132,086,197,333,
752,926,525,978,112,042,174,179,106,797,088,151,563,751,738,782,991,762,400,
643,881,180,689,524,241,971,833,078,989,939,022,747,164,045,870,645,828,882,
904,927,673,243,822,079,142,368,994,928,603,835,723,081,246,269,288,413,346,
574,665,287,436,621,999,058,956,057,983,263,021,625,798,051,324,454,767,124,
374,556,912,639,303,518,076,857,462,011,243,029,108,425,551,804,937,564,060,
476,967,758,274,389,649,772,046,185,731,748,169,652,401,421,038,610,817,927,
851,220,818,121,578,009,275,507,258,017,701,106,075,055,232,575,388,984,702,
902,934,075,198,578,470,210,308,924,702,807,737,564,144,249,607,230,733,853,
708,950,404,473,047,002,709,987,829,198,744,198,027,391,258,013,350,306,006,
998,740,366,307,825,756,952,617,828,804,658,389,658,215,060,452,006,426,256,
043,058,922,277,352,980,109,530,535,111,601,236,429,402,592,428,598,134,789,
818,663,335,808,289,457,242,259,154,601,773,302,353,878,719,774,820,182,444,
763,233,648,524,302,763,833,229,419,871,172,596,451,214,926,064,592,727,720,
058,090,726,313,909,869,163,621,121,156,925,057,831,165,858,273,107,927,821,
805,108,686,128,994,238,690,069,930,953,253,416,487,513,390,705,087,501,222,
730,462,290,714,310,165,333,490,273,071,497,890,963,642,388,604,492,721,776,
577,034,232,907,245,363,572,253,294,070,070,086,285,479,150,665,776,166,169,
253,890,423,734,998,871,101,116,980,115,921,905,862,800,844,838,555,209,060,
308,408,159,886,456,618,635,937,584,040,520,277,812,927,298,834,126,330,050,
128,577,534,761,509,365,887,917,512,490,410,486,609,180,113,413,804,158,685,
634,721,324,954,521,660,128,854,915,693,357,806,355,633,930,726,747,415,277,
682,254,591,245,148,846,079,840,178,848,288,836,596,317,166,999,323,423,579,
254,379,551,754,371,897,897,223,832,171,825,084,441,470,133,346,276,861,998,
902,346,050,121,051,409,925,138,670,707,968,036,341,163,610,004,964,797,446,
075,948,814,616,422,140,373,453,808,208,816,809,325,947,206,208,679,528,092,
776,621,393,463,240,101,488,920,299,460,220,896,730,571,510,272,747,577,698,
139,256,375,377,805,750,975,602,317,454,641,951,520,498,602,499,147,431,551,
731,195,283,595,885,059,184,160,219,561,767,739,137,095,225,043,276,295,284,
208,317,422,539,910,181,771,942,706,171,570,399,656,858,143,428,123,067,096,
014,601,889,128,831,710,507,277,941,831,566,346,792,148,084,658,233,628,023,
531,754,005,998,942,614,621,968,010,740,294,928,909,574,572,520,672,409,522,
349,900,003,031,577,557,916,378,191,719,520,617,082,263,459,357,564,498,165,
259,183,084,631,332,082,488,174,343,179,694,902,688,031,055,305,579,777,673,
353,897,851,107,784,844,791,856,659,096,739,192,376,305,967,660,250,430,018,
157,432,373,741,683,044,416,958,127,907,323,269,593,464,513,133,141,406,962,
797,054,110,421,482,482,598,766,681,831,808,359,175,595,118,807,607,699,032,
126,473,320,032,691,331,585,752,051,598,796,884,615,499,792,031,657,140,579,
279,140,524,111,762,772,498,620,414,140,754,822,212,260,309,581,664,810,353,
660,076,365,328,292,079,051,882,521,227,885,484,301,373,829,908,647,327,573,
676,124,976,891,760,353,954,989,770,199,950,201,772,458,206,752,094,459,365,
652,372,167,219,991,966,494,937,578,076,777,807,759,852,319,703,981,319,213,
459,033,420,154,768,781,183,975,357,667,753,342,868,423,963,812,824,086,004,
670,726,916,351,142,504,978,925,533,642,999,794,480,227,464,565,769,881,048,
934,436,480,310,075,683,183,747,559,181,871,381,695,789,699,025,532,746,543,
744,024,892,495,923,612,691,327,484,259,045,274,053,207,250,159,773,546,243,
881,316,840,036,581,480,745,715,063,172,491,464,235,843,021,406,975,224,130,
032,435,383,221,499,775,698,156,405,035,656,541,413,245,415,990,741,795,582,
325,685,603,524,410,153,030,254,989,473,328,336,353,419,816,754,869,029,624,
996,505,489,511,325,936,916,914,471,898,973,917,268,539,009,538,228,400,989,
521,161,656,716,562,056,752,034,469,827,234,074,813,112,544,901,207,785,484,
015,212,427,550,333,374,768,546,206,822,063,016,354,223,318,681,792,723,428,
049,081,431,804,797,338,342,581,818,529,523,771,434,341,073,372,506,646,957,
401,266,394,410,914,261,357,445,483,434,520,487,745,745,490,347,767,294,767,
551,793,993,785,020,473,699,559,604,692,105,947,980,436,722,592,473,672,921,
186,113,114,452,823,447,179,491,813,717,095,131,780,236,972,829,856,906,109,
570,105,413,592,477,803,280,625,186,047,779,580,398,502,339,533,750,275,744,
892,551,102,878,492,014,734,302,182,881,082,891,657,051,325,282,551,167,247,
688,817,799,949,591,423,438,789,906,418,234,528,693,143,510,124,743,194,087,
498,079,540,241,096,234,517,186,593,374,502,303,130,879,956,799,443,722,816,
449,177,966,045,138,090,823,168,391,053,129,648,386,642,847,630,144,254,195,
741,978,016,657,575,532,145,323,056,530,306,177,396,419,635,688,056,987,514,
542,758,081,285,492,167,536,267,008,198,906,925,510,905,694,867,161,161,209,
426,976,173,989,162,003,770,517,371,039,939,208,684,652,563,638,837,117,951,
809,036,709,127,469,251,089,577,701,391,590,580,675,019,945,176,062,975,842,
526,579,172,645,083,700,655,060,873,072,261,204,504,628,658,639,597,412,422,
263,849,699,184,490,478,519,470,926,370,828,576,597,801,831,380,647,182,801,
661,560,723,021,121,082,952,955,750,833,281,137,110,178,855,404,704,469,628,
198,308,656,233,243,698,204,696,533,870,802,122,213,522,613,546,012,267,440,
655,333,348,168,757,059,055,165,029,725,693,103,019,597,501,366,026,073,433,
587,415,567,812,108,646,221,517,873,894,327,673,747,354,603,925,361,847,397,
126,480,135,833,705,199,070,159,054,531,479,741,220,833,493,053,229,038,221,
549,317,933,081,201,397,451,789,582,526,263,728,624,711,880,232,592,336,706,
742,176,803,810,107,034,465,576,031,987,464,061,368,728,879,731,838,177,990,
582,799,968,306,561,750,685,452,192,648,822,828,019,985,939,283,666,478,941,
718,271,277,834,204,815,907,897,049,371,704,367,841,800,147,537,441,119,398,
810,511,440,463,885,537,508,583,014,908,977,904,919,212,910,823,037,466,384,
025,427,625,662,431,971,195,688,243,563,376,266,005,916,612,882,244,029,978,
330,723,755,953,426,506,287,021,825,437,179,885,185,035,482,779,299,829,052,
272,631,274,057,532,039,377,138,033,716,195,962,400,981,699,568,489,058,406,
863,613,899,618,735,608,869,001,503,258,739,542,009,033,207,673,587,266,907,
111,974,595,712,172,366,505,955,099,235,590,069,547,076,737,416,306,988,481,
837,742,396,794,797,250,865,102,123,589,329,474,379,988,966,445,640,990,533,
093,377,492,011,809,126,955,284,015,642,488,843,671,424,610,439,128,822,880,
163,506,815,676,765,774,341,613,185,951,346,922,892,605,781,259,262,357,947,
466,250,797,986,102,652,607,606,301,780,954,147,792,064,764,315,304,420,056,
040,971,898,128,740,753,818,323,289,684,175,662,190,810,587,244,907,074,445,
037,941,721,683,511,431,825,792,421,417,738,622,740,904,091,287,366,711,491,
398,206,179,868,261,642,544,050,514,597,433,491,417,128,733,626,890,292,866,
238,372,525,254,962,483,819,879,913,613,103,944,952,081,440,001,668,818,329,
878,677,433,857,173,628,465,216,286,076,681,041,552,783,019,591,396,584,810,
669,234,849,762,429,719,093,915,192,242,541,031,076,980,872,796,070,237,377,
736,011,666,156,256,360,163,691,048,191,950,334,018,680,960,020,966,674,506,
518,420,704,698,927,908,780,463,280,196,021,098,801,736,690,439,055,374,919,
530,223,160,117,209,089,798,144,971,963,123,795,945,799,293,211,095,692,506,
326,497,235,036,787,575,784,409,210,756,033,601,577,764,636,279,753,018,157,
084,904,081,333,117,748,780,665,736,693,657,703,647,214,731,578,422,619,052,
702,071,413,017,318,962,316,998,508,394,756,620,892,513,411,238,716,335,620,
545,808,729,288,128,159,154,100,776,694,589,202,258,400,086,634,516,113,391,
365,618,766,625,399,808,468,179,889,009,339,744,836,679,043,345,238,481,849,
720,662,020,659,147,250,702,166,575,255,221,596,688,093,784,746,241,162,644,
073,973,314,856,294,669,537,357,313,431,585,043,803,926,075,785,376,879,815,
738,331,945,134,430,778,064,418,751,885,996,978,749,430,916,045,924,202,427,
428,443,390,286,323,987,626,127,637,804,476,659,671,003,581,237,776,329,830,
931,450,076,837,029,814,071,712,529,537,241,756,408,077,242,931,613,011,857,
183,838,105,880,515,214,437,850,695,746,586,612,181,968,198,475,409,620,490,
876,318,756,493,799,592,984,341,324,529,364,414,859,018,139,525,774,529,480,
128,195,084,559,568,162,270,108,652,540,318,516,635,995,435,568,110,550,308,
656,181,729,720,229,930,200,478,718,669,400,514,518,239,542,308,209,408,271,
232,594,768,280,288,373,167,791,857,124,697,870,784,536,100,602,500,225,120,
197,242,887,640,962,300,991,463,268,555,252,660,953,213,270,430,083,382,630,
311,713,384,925,982,809,701,371,238,247,865,320,754,998,406,263,814,481,490,
778,642,237,116,968,588,356,620,973,494,339,183,199,167,035,730,877,785,174,
162,764,637,746,798,360,576,097,009,980,772,877,654,519,080,405,055,739,981,
300,187,626,823,443,571,656,709,065,199,409,098,855,065,773,482,049,735,063,
921,885,906,411,614,748,884,214,912,258,667,222,110,158,341,938,959,188,161,
916,716,440,512,543,962,041,494,241,604,893,091,765,682,787,142,531,261,145,
549,213,980,137,241,794,223,500,658,217,129,098,981,601,883,036,868,132,747,
575,212,499,807,936,893,979,399,840,238,039,221,159,457,407,489,225,992,709,
873,692,185,588,541,708,950,940,190,649,878,168,031,274,560,943,487,063,179,
873,198,634,176,680,975,191,051,944,379,953,929,859,059,532,162,156,440,354,
769,925,556,729,880,692,623,571,552,675,850,065,100,842,477,146,479,314,317,
669,872,852,374,994,875,078,638,615,058,181,178,746,581,017,091,122,941,149,
064,673,946,411,618,826,643,252,523,254,905,783,821,198,779,039,197,666,730,
137,753,342,341,841,863,794,589,926,101,781,547,700,222,554,947,130,706,225,
616,509,281,292,802,668,121,596,630,578,200,507,480,601,981,627,063,698,552,
248,516,169,458,951,750,840,389,286,581,962,728,278,459,688,866,789,873,385,
325,084,310,068,624,259,844,402,718,584,181,434,465,009,155,973,989,960,317,
979,123,700,746,568,462,052,296,200,796,858,268,662,059,559,466,445,459,444,
382,302,048,966,062,928,295,392,939,763,779,856,209,323,949,429,163,989,045,
290,206,541,108,497,520,550,251,593,357,843,392,363,669,054,233,613,850,499,
795,643,001,816,775,883,807,498,484,737,662,342,253,164,419,846,638,516,048,
292,492,163,767,221,003,232,736,109,539,644,962,594,663,114,030,773,941,431,
866,951,965,754,037,118,416,361,538,863,159,803,062,142,032,560,602,439,696,
945,274,473,434,739,422,752,044,061,100,594,938,562,825,884,809,834,298,006,
917,164,375,146,995,408,624,229,477,861,539,055,334,498,697,437,440,381,100,
403,076,102,093,277,421,183,159,860,540,295,043,028,529,396,145,681,731,601,
012,749,832,911,951,617,396,524,763,411,157,398,722,421,636,326,225,263,384,
478,474,453,869,982,186,708,667,506,548,824,680,304,456,096,700,112,622,754,
625,167,872,163,411,150,693,692,424,474,458,980,636,091,700,270,889,096,033,
373,368,532,751,912,307,951,876,492,105,867,637,645,119,525,125,113,768,152,
551,500,735,080,518,911,126,596,259,793,509,460,275,506,025,698,527,631,283,
767,137,107,814,335,305,611,387,141,183,214,460,944,642,274,671,136,665,791,
921,340,557,718,082,156,014,582,959,604,539,760,208,257,804,622,692,673,789,
300,542,244,125,304,788,561,160,916,202,231,057,242,399,901,294,065,044,917,
215,854,475,851,135,063,059,975,246,131,630,265,144,479,121,030,872,775,015,
430,106,100,215,523,924,842,601,512,653,786,194,740,971,163,890,019,201,807,
217,516,360,953,844,498,781,010,568,891,916,136,995,640,276,926,547,644,676,
251,095,360,283,877,073,122,219,727,807,965,357,453,555,263,360,536,019,441,
409,109,047,885,699,945,919,658,818,237,821,832,668,801,196,627,679,880,210,
815,113,689,499,504,558,759,850,364,178,791,564,654,781,147,338,248,176,582,
792,333,170,167,575,876,494,217,712,819,986,638,228,205,739,359,537,771,813,
685,180,442,991,217,909,989,026,660,741,416,900,701,758,520,482,274,629,585,
640,477,049,433,969,823,243,407,775,440,764,797,919,690,991,474,250,192,126,
454,214,630,363,904,614,834,684,267,192,727,027,876,701,020,406,875,953,073,
627,034,766,679,829,813,677,711,972,893,792,945,193,743,849,965,511,936,139,
525,117,110,783,147,548,779,757,583,245,859,268,219,128,447,924,155,639,578,
191,677,582,210,350,192,215,208,410,379,697,381,275,150,866,297,198,217,067,
359,072,524,569,796,280,489,166,680,486,503,348,134,173,271,744,836,957,870,
063,746,960,124,237,315,276,291,881,638,567,231,267,292,422,303,557,889,379,
670,600,003,052,817,660,921,919,812,834,210,056,391,389,994,481,844,692,912,
775,076,724,613,530,259,249,370,014,530,195,023,807,940,376,178,825,769,497,
705,905,261,566,888,248,909,527,735,930,472,423,707,050,798,295,238,569,890,
102,825,218,614,783,869,397,328,164,217,788,093,108,139,004,877,786,205,036,
485,490,496,377,092,031,944,102,371,079,250,167,019,877,145,363,413,811,548,
122,823,918,889,551,198,827,240,838,157,676,628,966,978,795,581,864,886,013,
889,438,671,027,975,220,649,726,465,660,092,318,339,617,425,896,369,587,270,
569,910,679,534,782,865,322,871,691,407,752,768,174,145,568,445,686,735,015,
070,040,828,828,529,424,919,340,063,100,665,640,520,795,809,528,956,993,101,
652,496,186,485,970,655,844,408,803,793,360,447,894,869,610,380,186,598,196,
467,943,736,042,925,244,459,969,926,669,025,095,679,100,126,699,207,217,905,
529,675,941,452,514,456,417,644,113,948,335,906,157,449,498,817,999,575,545,
500,395,206,555,285,605,300,647,019,448,605,061,949,171,719,720,307,039,931,
575,267,700,842,114,468,992,537,616,305,406,994,010,037,557,296,027,878,035,
657,805,186,041,214,610,611,093,738,457,569,026,431,670,089,133,981,064,253,
876,136,457,283,262,653,018,532,641,465,068,960,382,426,911,983,066,578,655,
421,127,765,595,639,954,075,015,909,282,582,138,927,720,103,468,421,962,591,
089,944,341,869,091,918,447,750,603,791,498,096,800,189,438,648,738,781,278,
196,556,373,455,157,453,923,818,408,350,784,286,322,243,103,114,512,921,449,
896,476,454,533,816,116,941,237,740,543,821,456,020,911,616,345,933,679,038,
036,576,374,920,164,850,666,686,244,140,869,553,371,696,465,353,394,193,565,
666,571,497,008,259,249,532,801,275,633,320,854,837,620,580,315,117,262,514,
811,375,702,012,030,816,526,843,969,274,325,793,742,201,049,303,092,401,675,
722,636,908,875,734,140,173,069,876,399,722,889,050,457,408,696,763,415,878,
850,067,031,333,563,127,667,823,404,999,304,456,550,779,669,443,853,723,268,
260,371,451,797,973,000,906,557,002,706,898,012,652,654,936,186,083,537,670,
146,766,330,564,434,030,888,297,076,762,294,166,168,324,795,386,384,995,731,
016,090,584,168,021,583,805,820,507,157,957,705,586,558,923,931,780,722,338,
065,065,755,903,569,681,075,640,235,516,589,706,964,723,404,643,652,236,350,
293,011,003,158,116,605,491,586,310,552,447,950,713,919,224,802,793,353,435,
826,607,958,050,897,218,324,143,289,992,009,951,290,283,283,502,034,964,184,
805,701,864,850,781,592,098,430,615,260,554,044,021,534,873,978,124,841,961,
151,458,243,031,104,065,202,502,329,814,957,797,611,921,787,865,063,625,258,
388,493,873,695,455,280,765,927,948,044,674,402,957,897,705,996,605,474,445,
148,493,005,810,843,803,918,790,885,374,073,671,325,043,955,708,351,535,067,
715,598,277,620,825,360,744,370,082,566,415,433,862,768,144,370,105,528,836,
507,671,933,011,647,428,608,969,998,705,434,518,747,568,255,027,370,399,043,
384,061,612,667,566,617,783,814,404,884,640,820,586,408,967,385,961,103,085,
845,633,043,681,356,098,263,708,597,400,660,343,379,118,471,069,194,393,459,
883,929,985,275,656,169,227,509,247,946,551,930,886,053,250,734,057,790,188,
393,721,093,289,035,999,264,245,588,014,005,725,314,848,355,675,791,813,711,
623,476,234,066,989,101,350,179,986,314,478,096,936,103,245,484,063,859,635,
838,760,211,199,592,697,464,184,596,221,988,235,333,841,941,610,186,673,327,
227,014,750,823,486,303,222,864,903,085,614,194,184,416,017,325,796,974,380,
364,715,442,936,723,760,580,863,258,501,380,020,988,378,616,437,391,118,288,
719,810,705,635,023,466,849,812,903,655,988,607,395,343,953,225,944,023,684,
050,852,231,862,492,554,363,709,337,228,378,073,992,370,495,710,032,842,936,
996,489,085,096,086,656,780,472,836,349,002,733,050,245,033,721,561,791,053,
249,586,227,272,812,622,499,376,656,618,860,364,381,145,487,313,376,990,146,
243,957,744,606,878,801,496,440,243,472,835,451,370,672,199,777,691,147,123,
497,520,803,270,971,195,487,018,135,977,010,712,882,637,321,590,391,768,521,
373,166,036,713,764,579,394,477,841,807,554,364,785,995,491,678,087,430,928,
470,987,970,558,050,747,960,529,901,311,556,513,185,108,735,187,200,753,875,
516,716,494,540,727,568,470,242,180,608,146,141,495,235,167,025,405,713,044,
889,755,134,198,299,525,287,743,298,953,932,572,824,079,642,879,014,300,464,
615,434,611,970,176,050,396,609,252,656,396,844,471,180,769,798,857,775,715,
884,258,906,916,291,331,017,077,933,561,693,937,952,662,093,233,162,033,309,
247,149,841,126,483,400,614,706,396,746,431,588,018,475,628,352,881,278,778,
254,990,566,666,192,723,922,749,942,597,668,703,043,283,405,784,289,836,486,
551,578,286,504,011,679,772,318,895,715,453,160,839,440,491,792,573,847,118,
936,093,961,797,419,084,859,473,974,080,144,469,863,706,213,572,221,571,767,
333,389,026,204,583,411,614,702,492,609,736,104,034,191,483,880,908,873,908,
292,291,501,417,702,715,704,375,110,383,652,624,434,237,270,467,060,065,441,
749,244,507,256,864,619,873,100,337,389,341,162,719,830,311,019,164,678,095,
641,160,463,265,309,079,616,188,336,957,009,237,434,708,483,559,516,287,581,
401,228,604,357,339,165,374,939,208,733,034,546,365,624,300,288,979,434,544,
962,122,896,703,629,299,775,710,634,996,757,131,172,311,294,967,311,467,241,
388,782,407,666,708,799,261,412,699,320,847,464,819,437,030,109,793,584,156,
620,257,270,951,268,443,269,086,640,196,103,087,404,803,377,688,985,554,504,
512,168,740,964,595,962,626,510,125,857,909,909,213,993,466,630,644,279,519,
691,257,274,845,062,673,295,373,681,211,501,424,489,304,888,221,429,507,344,
102,212,409,709,105,715,017,541,129,427,146,051,512,056,893,884,302,878,952,
498,485,699,169,861,941,238,466,415,432,579,852,784,034,291,115,654,584,293,
813,473,060,585,779,709,167,406,920,922,644,737,956,397,622,175,747,348,780,
925,806,493,517,944,748,744,130,058,690,974,861,726,740,367,527,028,522,245,
817,454,257,025,927,368,923,545,417,810,623,964,017,090,777,947,511,072,761,
610,809,110,865,693,280,846,506,755,089,125,267,397,201,235,804,736,760,981,
118,619,610,635,257,940,392,853,003,035,826,104,455,819,302,345,057,869,675,
888,933,365,151,084,614,749,524,603,066,597,506,249,123,331,590,103,858,960,
667,318,945,971,997,374,676,669,325,773,848,296,192,802,409,650,452,611,473,
568,161,030,001,464,389,060,056,341,422,144,624,110,396,392,846,688,313,542,
146,424,513,281,898,650,475,904,181,250,789,073,341,378,151,307,008,825,850,
732,776,452,218,717,343,087,178,445,792,057,723,325,586,147,756,892,154,435,
307,414,549,043,037,180,577,218,922,724,383,390,146,481,288,287,586,530,440,
974,945,465,179,338,651,037,510,189,888,681,710,993,100,267,127,727,552,295,
215,279,049,476,252,758,634,223,493,531,113,591,397,017,569,718,089,364,441,
052,792,526,338,269,022,127,533,823,343,875,062,736,776,819,605,470,768,235,
964,568,337,205,809,250,975,879,072,249,402,864,582,359,726,203,738,431,304,
577,150,501,849,331,323,331,603,479,417,262,956,090,385,789,584,578,074,615,
768,009,447,142,443,088,013,007,296,932,149,231,667,394,726,999,034,189,482,
404,208,306,713,777,973,381,920,688,980,590,343,807,809,983,102,152,327,664,
025,798,374,462,475,557,192,506,656,144,426,981,143,167,176,933,056,644,182,
995,449,883,468,942,610,472,735,346,166,719,883,818,253,399,613,680,660,217,
576,944,650,124,080,610,612,670,456,916,968,587,200,481,464,739,297,278,888,
247,894,447,558,871,712,358,370,317,808,026,981,136,621,141,686,487,318,136,
918,612,332,066,755,569,636,221,983,114,193,424,896,773,850,582,578,976,102,
662,227,081,075,312,078,560,051,816,593,356,902,902,195,524,583,878,480,269,
809,078,064,518,259,730,336,750,365,199,108,867,530,319,088,217,826,459,597,
082,019,739,725,984,983,712,146,523,422,863,565,063,978,644,615,169,785,950,
848,296,124,819,150,906,707,399,954,723,118,692,880,336,188,521,677,402,351,
360,124,477,427,976,635,612,792,943,562,338,064,123,207,813,679,584,132,637,
253,051,573,600,481,749,380,836,539,353,288,773,331,700,408,427,255,559,603,
861,706,025,920,806,306,495,269,522,114,284,151,856,650,811,144,285,945,309,
980,924,023,718,319,760,198,025,502,877,600,068,286,812,195,450,487,131,658,
085,613,404,444,066,220,993,360,180,091,553,900,090,700,771,042,296,870,549,
026,030,798,472,865,361,041,416,565,326,704,828,809,449,643,815,000,557,815,
889,843,503,597,105,366,617,703,793,072,036,305,277,067,157,270,099,123,897,
685,416,644,397,430,968,399,953,254,608,388,782,635,774,245,424,747,556,979,
893,813,774,121,723,102,630,431,495,412,921,679,920,767,470,360,316,684,638,
108,164,335,741,609,103,170,060,264,119,018,558,105,556,466,348,737,664,437,
207,843,278,951,020,510,955,540,304,387,471,812,957,202,899,814,751,982,878,
390,333,236,284,802,288,593,610,354,080,022,811,307,644,857,846,076,764,151,
632,874,976,327,839,204,130,689,760,976,344,077,678,171,385,419,047,099,348,
240,711,239,832,278,728,863,368,362,000,442,957,488,424,176,386,678,111,815,
485,037,477,653,040,433,457,429,213,189,973,086,351,552,073,614,253,491,089,
305,531,562,190,274,792,157,396,084,322,738,118,788,830,507,798,414,703,403,
829,243,122,646,605,086,384,098,047,869,591,105,025,262,435,680,276,001,499,
038,686,823,340,486,610,871,432,232,382,773,222,667,120,836,598,135,924,413,
455,547,070,975,054,234,995,339,366,255,526,025,728,896,319,854,601,514,026,
112,945,311,978,784,795,894,677,258,021,326,194,375,869,870,359,851,586,783,
919,448,553,038,133,729,737,318,566,146,234,181,477,053,037,372,961,994,392,
015,057,449,557,684,465,179,538,488,805,830,384,521,882,365,207,570,543,299,
101,332,571,601,402,190,210,537,951,707,511,821,919,599,498,529,658,788,246,
554,089,457,220,500,141,400,660,857,760,634,115,493,243,938,305,187,377,628,
984,313,729,236,541,428,692,027,646,042,581,227,361,737,048,573,174,630,274,
121,875,136,896,135,118,571,968,862,707,354,113,139,573,368,347,029,545,618,
303,596,605,094,262,904,289,690,857,466,299,434,429,814,509,326,861,463,967,
685,192,130,868,697,757,879,726,674,123,988,991,658,238,325,524,281,775,356,
989,266,894,795,199,431,936,684,421,369,228,966,625,505,949,986,344,458,521,
904,267,502,157,917,814,156,614,292,656,788,838,087,125,702,882,096,060,282,
996,223,202,387,607,928,487,918,894,518,139,363,878,018,913,410,955,786,150,
296,386,512,031,627,705,376,643,594,342,216,493,543,069,403,216,551,612,731,
894,861,536,641,187,327,780,426,251,502,528,608,842,228,399,361,174,681,073,
573,048,156,802,961,703,978,118,027,588,271,440,003,531,029,949,359,165,138,
252,387,207,851,222,301,837,316,117,293,415,620,704,427,033,056,659,708,442,
760,658,327,763,918,473,296,353,899,620,347,664,471,402,689,177,105,831,357,
087,304,716,034,367,517,643,989,263,649,371,732,897,424,044,451,604,101,432,
127,533,561,586,340,959,535,835,650,137,151,030,185,599,605,774,442,233,679,
277,691,699,943,002,408,015,716,321,160,341,709,002,817,665,886,636,317,744,
170,207,854,774,921,366,159,544,140,672,597,586,937,140,199,496,308,421,374,
690,207,324,874,395,164,158,405,705,666,018,834,672,913,858,709,671,915,101,
117,038,113,584,473,256,123,778,094,186,707,059,392,213,784,150,108,426,522,
476,887,566,926,282,532,320,144,870,141,538,588,521,703,182,519,651,604,544,
230,566,030,481,997,100,011,326,068,543,885,546,143,825,454,814,669,958,924,
222,211,310,043,785,388,424,472,114,979,762,813,433,879,408,096,612,271,210,
747,430,880,529,948,212,335,956,881,467,829,836,753,855,380,340,076,114,294,
901,860,087,846,722,445,563,745,454,685,854,363,218,025,071,061,870,795,259,
274,764,542,253,393,011,793,480,261,560,536,064,821,611,886,361,497,513,094,
966,047,428,153,777,718,705,761,140,290,369,707,059,775,918,626,501,423,223,
691,387,766,140,861,926,544,950,665,968,331,053,211,746,292,373,267,159,136,
863,101,642,979,406,712,560,628,895,220,347,167,695,632,670,003,186,045,959,
803,389,301,795,088,403,518,801,347,139,512,339,379,250,466,372,530,814,670,
333,929,975,242,549,737,048,994,077,973,459,147,893,135,868,424,274,824,661,
261,750,487,393,261,013,982,496,908,182,803,029,194,734,950,873,038,262,368,
621,038,640,892,031,617,719,896,423,070,496,938,254,442,016,280,795,913,299,
213,311,598,282,481,757,269,481,027,377,002,375,059,568,306,819,512,425,325,
897,911,969,099,377,914,727,044,269,397,478,396,062,524,058,542,033,446,972,
168,990,247,346,502,634,087,530,147,312,536,782,619,153,099,179,754,543,553,
125,648,185,804,036,702,999,190,265,520,670,789,620,798,843,673,271,145,122,
298,856,348,783,916,671,143,865,948,807,330,946,101,008,628,940,144,075,038,
575,733,611,448,803,004,671,435,408,530,191,521,196,530,868,083,323,503,822,
958,280,916,466,844,563,283,366,864,392,521,745,187,797,745,214,743,680,822,
612,559,221,063,731,383,878,888,427,180,054,731,700,098,497,760,304,638,674,
771,212,102,654,997,590,862,743,811,999,184,319,754,531,768,867,044,080,405,
650,020,009,202,041,542,053,592,893,841,569,870,687,243,711,641,785,718,372,
196,231,916,015,178,055,217,229,291,463,950,161,092,388,279,130,034,294,318,
270,249,554,899,778,602,948,995,419,759,473,682,324,346,165,872,776,988,329,
933,912,052,799,225,672,614,676,678,987,936,011,714,118,430,776,327,557,406,
304,164,498,183,484,233,936,720,439,807,089,104,754,306,674,643,435,931,962,
469,773,190,239,610,116,839,930,767,950,858,075,500,110,943,363,886,579,933,
100,256,513,711,948,024,863,859,787,560,961,864,900,826,453,508,947,638,488,
578,421,866,358,297,417,374,404,381,186,901,000,934,462,733,195,406,379,888,
101,517,521,984,521,920,912,966,837,385,419,166,539,785,656,738,640,917,476,
775,554,093,759,723,329,558,401,914,127,286,196,103,826,350,204,986,287,440,
598,613,329,614,269,584,469,881,641,337,486,058,863,036,515,211,498,445,344,
720,776,020,045,438,930,707,157,139,176,720,513,008,927,368,357,139,171,835,
428,590,378,775,072,855,565,464,778,907,034,960,426,258,371,131,133,044,875,
146,998,390,518,921,248,528,227,377,578,317,363,226,273,246,692,282,644,053,
443,055,845,915,152,324,091,062,597,101,566,191,349,731,927,318,554,359,143,
102,142,829,098,987,488,853,944,351,209,048,993,105,879,286,989,609,928,260,
255,959,536,086,849,988,698,390,736,909,280,084,640,859,707,337,108,721,046,
082,776,469,694,491,678,064,068,502,750,420,989,827,768,660,770,741,964,649,
632,886,711,759,489,669,711,063,343,105,471,242,785,336,414,481,321,594,858,
366,937,143,542,745,407,918,306,671,880,578,462,632,389,768,018,408,747,864,
636,091,965,473,085,335,644,766,659,793,725,984,504,990,155,380,899,014,937,
433,445,265,293,693,839,277,674,273,874,954,363,738,735,262,713,423,688,363,
732,913,136,493,600,838,498,922,287,913,998,536,126,642,331,556,961,026,634,
604,676,555,085,076,134,226,837,462,651,906,943,699,704,303,567,865,858,053,
264,110,190,995,072,049,243,421,947,026,465,834,144,346,814,090,025,640,923,
354,295,633,624,747,816,067,455,566,958,783,637,964,036,280,355,091,712,846,
602,208,710,734,692,028,388,611,962,771,157,018,145,935,059,711,298,193,190,
725,454,587,161,061,913,493,872,393,659,849,905,736,101,163,708,980,844,576,
425,009,648,284,731,234,316,515,219,897,636,398,334,735,372,525,986,133,284,
145,174,667,047,950,451,986,543,349,892,202,908,622,392,559,892,590,683,709,
292,195,723,499,840,781,568,276,711,529,134,542,704,532,531,902,932,045,844,
257,220,442,447,443,398,993,945,311,863,749,050,036,535,286,066,379,721,350,
198,905,510,374,832,266,009,096,563,031,769,763,540,834,932,851,199,459,616,
416,307,887,583,222,346,438,358,301,380,357,510,790,177,887,749,830,202,238,
849,931,447,667,093,533,082,776,474,970,317,065,624,335,253,413,816,540,213,
468,823,287,707,136,866,541,510,532,240,374,729,437,614,322,736,582,975,073,
487,543,371,450,002,301,846,932,107,833,211,231,687,267,108,994,873,299,778,
986,546,638,322,909,188,996,701,035,827,536,446,575,588,922,731,122,909,868,
807,825,938,990,717,097,186,459,955,946,561,137,949,449,299,160,574,487,510,
029,925,739,818,132,377,460,721,932,183,523,113,903,773,421,017,676,076,534,
493,098,541,498,670,036,645,334,843,191,686,475,534,826,164,545,805,326,483,
329,214,004,384,930,355,159,836,954,364,754,138,045,399,592,288,682,945,194,
869,528,775,364,813,983,254,424,130,367,590,505,683,248,912,383,767,043,022,
490,339,783,636,458,655,382,682,524,956,521,225,648,583,779,762,070,268,825,
566,157,571,872,709,546,344,913,006,793,086,093,786,977,455,139,368,781,542,
446,041,540,577,837,712,226,590,803,463,530,646,036,335,438,045,844,984,077,
091,852,524,489,751,518,527,124,262,123,473,926,572,061,087,292,535,308,641,
284,321,364,366,131,304,116,910,301,222,577,599,897,090,978,083,982,149,559,
837,043,192,369,778,898,442,756,102,553,780,511,855,992,168,752,390,307,945,
480,727,092,429,031,490,343,092,038,828,587,695,869,424,775,813,023,631,655,
884,777,764,590,911,904,535,172,062,456,092,296,892,408,534,899,177,100,349,
569,916,195,327,516,524,042,791,186,414,356,293,763,871,848,929,852,934,433,
974,527,132,980,731,346,005,655,424,649,769,942,639,913,473,862,818,313,482,
161,550,890,218,829,553,948,807,982,221,872,504,559,523,919,816,315,603,315,
296,841,204,683,653,367,992,689,811,638,892,119,495,072,174,841,661,903,408,
991,635,295,855,363,105,226,408,154,547,272,887,461,951,304,350,254,558,804,
039,528,280,659,756,172,829,642,131,936,004,167,514,103,211,808,672,972,105,
909,609,593,532,986,016,584,782,681,785,023,140,981,752,903,131,120,453,358,
502,442,715,742,890,832,827,043,480,556,362,312,655,930,866,994,534,730,475,
379,925,889,808,838,738,727,698,938,842,490,137,176,442,674,769,023,095,602,
839,441,602,762,507,079,335,363,008,823,119,748,684,999,278,729,188,632,722,
993,404,813,644,047,028,534,860,247,269,142,409,449,168,950,478,191,329,186,
363,103,558,798,671,888,994,368,212,275,967,915,353,665,622,629,067,134,219,
116,968,349,079,110,573,557,446,041,361,732,722,828,761,362,620,974,732,406,
548,277,139,012,070,673,173,022,429,779,100,329,324,099,118,768,078,325,562,
843,276,508,310,839,570,869,685,673,674,283,715,285,559,255,399,825,434,338,
608,434,877,167,808,406,080,873,721,425,037,805,917,791,765,103,962,281,212,
275,893,106,214,239,047,339,091,991,914,823,238,161,636,489,736,313,714,969,
054,553,728,098,973,524,845,804,858,735,948,003,677,218,244,274,423,917,557,
111,322,472,360,881,227,692,670,931,974,810,427,472,328,461,844,842,064,586,
836,050,752,986,789,310,285,591,791,568,372,973,477,876,917,554,145,133,471,
984,885,160,282,530,315,019,787,911,405,756,537,242,302,810,874,717,009,367,
057,156,205,544,326,600,296,322,339,835,683,782,796,611,355,702,529,692,513,
824,484,010,550,859,606,394,533,875,123,142,492,879,778,488,313,659,873,420,
816,898,559,333,376,852,865,291,924,529,051,090,803,562,104,920,547,368,030,
993,370,100,443,104,914,351,057,385,020,036,539,354,186,347,780,349,858,385,
271,892,757,984,223,685,538,279,931,516,074,110,203,228,965,652,483,423,095,
992,132,418,745,374,402,048,416,811,640,268,203,970,711,137,446,563,160,041,
058,963,372,682,214,314,545,515,638,513,970,311,302,168,692,576,414,989,281,
347,590,904,665,728,081,611,997,926,798,513,253,331,454,473,879,902,844,862,
430,690,770,002,915,045,182,673,798,971,649,617,536,638,578,785,473,353,642,
653,798,906,950,930,349,518,468,504,285,274,458,117,762,562,500,454,548,936,
862,176,318,770,915,592,202,086,553,333,670,455,833,379,575,679,011,195,916,
663,749,164,045,677,054,038,989,383,057,921,342,412,978,242,582,327,657,798,
900,296,343,394,159,707,686,743,718,834,849,363,685,755,732,255,102,881,496,
717,986,664,103,682,737,709,109,705,733,134,613,742,856,777,218,825,531,985,
360,254,029,594,782,777,833,448,677,874,632,585,389,756,640,615,663,031,667,
463,496,717,013,952,530,415,815,844,093,226,648,854,647,878,406,830,664,622,
095,430,261,989,738,678,970,488,647,488,683,709,166,833,785,677,396,638,569,
269,190,902,998,360,883,722,949,356,333,655,265,567,603,179,918,173,140,894,
687,694,246,012,750,128,756,284,550,524,735,422,622,719,870,081,432,753,468,
186,041,079,348,629,277,284,918,202,777,720,493,506,549,143,500,370,951,086,
677,134,036,680,644,339,235,265,972,352,571,745,341,011,369,928,477,439,967,
936,872,011,910,415,579,658,324,212,175,602,990,835,150,632,985,371,452,129,
072,826,645,874,156,280,651,094,650,934,529,170,999,523,650,984,563,586,166,
584,831,340,523,556,510,652,528,169,484,414,551,337,931,792,773,040,324,929,
631,859,096,754,410,542,244,535,899,172,194,837,439,647,771,894,209,658,950,
686,132,216,899,375,716,296,585,721,190,600,711,499,857,555,358,272,893,491,
905,609,464,813,262,770,896,710,839,962,224,850,598,212,217,343,657,156,781,
913,241,061,306,505,327,138,669,302,539,587,360,360,086,151,090,522,377,836,
894,941,859,855,646,120,748,613,760,153,696,165,509,631,615,402,736,498,699,
856,560,390,799,614,351,305,962,763,363,833,137,338,361,307,762,683,074,411,
241,910,090,778,784,605,976,645,086,695,255,493,339,215,123,060,931,811,556,
452,782,197,641,130,193,193,983,810,120,506,890,630,256,750,059,926,107,702,
101,302,343,657,200,430,054,196,562,779,012,925,545,456,633,369,783,588,008,
767,866,255,467,834,622,484,207,495,235,189,854,153,546,636,154,202,913,518,
371,930,807,442,620,669,188,035,904,356,675,696,573,004,763,845,629,697,026,
960,359,121,729,880,889,387,407,552,418,370,377,529,828,851,459,363,011,405,
633,220,987,766,974,085,793,914,847,098,200,811,453,315,403,677,433,664,430,
784,577,363,578,532,883,710,359,860,328,049,184,962,641,000,198,635,929,087,
461,155,991,606,958,767,488,450,454,032,707,180,176,782,599,496,856,550,007,
978,224,846,261,389,872,854,721,472,098,327,939,528,744,451,316,056,508,344,
595,425,094,061,153,728,621,862,541,824,167,165,599,980,760,537,058,541,973,
051,333,982,595,603,811,730,412,998,946,767,559,968,494,164,698,760,969,386,
823,809,881,323,140,203,439,064,908,037,788,805,812,588,977,343,246,329,920,
391,925,059,890,138,018,083,154,046,321,607,621,981,001,727,953,221,819,123,
842,361,259,853,343,783,843,322,241,168,305,175,000,885,730,195,669,653,724,
587,892,570,039,144,270,684,791,092,768,198,823,536,825,828,777,688,436,491,
618,224,262,715,217,132,995,717,873,009,616,595,811,974,060,274,467,984,037,
356,555,904,949,813,027,623,550,060,437,181,467,778,023,740,303,001,438,756,
346,166,395,727,973,477,068,961,491,097,008,118,816,779,623,256,757,691,581,
276,400,599,136,046,435,690,040,744,298,765,969,045,431,017,479,843,158,585,
358,082,486,369,621,287,811,659,683,142,773,074,297,343,002,897,316,707,723,
139,702,135,306,874,817,501,414,514,229,894,756,666,812,651,456,440,428,824,
044,716,926,336,681,336,884,717,014,760,288,904,579,901,132,257,484,417,439,
172,059,330,498,800,208,092,807,578,467,757,146,992,435,426,509,443,531,099,
065,402,255,019,980,685,070,885,279,440,665,629,590,930,337,615,968,438,835,
904,940,094,256,478,413,203,577,505,832,458,620,453,224,755,945,090,028,731,
203,080,042,185,192,510,611,531,516,068,706,161,027,913,079,582,861,838,535,
251,755,459,259,600,476,258,657,657,566,154,334,018,168,628,054,235,049,189,
511,272,426,863,535,358,945,644,412,180,069,312,979,734,082,902,378,335,664,
329,007,407,928,716,065,395,378,257,664,290,660,247,303,809,324,015,019,811,
614,434,729,678,951,770,610,172,889,806,138,876,500,195,638,829,750,879,531,
290,835,546,783,333,745,130,598,114,673,214,661,466,289,646,639,224,444,598,
659,102,225,332,643,178,169,414,168,422,323,773,451,606,845,445,726,921,423,
999,949,973,263,893,649,616,703,942,448,674,596,740,375,570,012,740,777,153,
635,655,108,343,358,070,184,714,820,828,878,762,969,296,343,451,933,619,547,
392,037,898,612,523,932,037,908,820,298,572,833,050,085,889,915,381,952,181,
490,434,823,127,506,666,867,526,786,401,711,569,544,021,791,523,742,265,976,
822,794,988,149,679,059,118,339,570,634,538,894,459,916,916,421,455,073,465,
510,593,735,851,528,563,754,124,508,191,974,997,938,354,732,067,344,712,622,
264,362,197,527,452,512,758,734,010,211,216,547,958,377,093,395,323,760,253,
544,431,211,249,853,187,045,872,378,158,330,368,698,086,512,905,162,770,183,
977,430,454,740,401,463,708,225,322,227,565,710,117,379,230,125,388,538,493,
549,579,684,575,098,984,381,922,127,652,538,396,528,109,877,493,741,308,349,
457,297,047,690,544,119,570,349,445,551,544,590,190,782,307,298,976,966,364,
093,736,793,790,712,826,280,275,282,065,730,893,035,226,344,242,404,208,542,
760,766,181,871,354,067,319,853,805,410,846,590,848,056,160,946,010,185,727,
552,088,502,021,867,275,836,435,572,298,969,302,605,091,070,718,324,040,810,
738,904,480,770,356,525,871,913,292,742,055,972,463,458,769,571,037,807,204,
307,044,337,605,090,979,813,402,260,725,150,113,544,160,203,494,323,362,166,
201,666,226,029,452,551,303,260,738,934,853,801,716,547,727,090,344,937,639,
008,177,588,837,982,881,216,506,979,549,913,351,216,700,240,074,012,648,570,
151,435,575,983,382,777,755,797,740,898,944,749,402,663,158,673,617,792,940,
288,366,921,002,134,306,726,580,285,983,765,070,395,251,523,242,964,756,499,
197,124,914,058,281,217,301,950,047,443,426,748,546,272,713,145,441,545,502,
791,815,928,762,835,259,570,436,483,612,221,924,706,988,966,724,719,692,452,
048,840,011,479,908,999,508,724,366,837,879,890,260,253,367,008,843,396,282,
179,097,797,353,287,677,652,904,522,199,277,038,773,422,753,454,251,304,120,
576,525,645,122,531,301,664,184,853,959,117,557,738,279,068,313,565,512,037,
736,204,373,551,676,462,350,837,842,409,205,222,806,762,950,013,068,631,143,
290,916,974,743,594,966,239,497,863,490,895,386,769,411,258,037,747,258,076,
977,085,795,758,852,949,727,982,569,977,172,154,425,758,233,120,039,294,269,
388,774,289,939,403,821,841,285,452,809,444,994,245,075,945,319,110,116,828,
026,848,930,176,094,294,662,488,440,998,321,897,608,845,263,475,370,897,117,
957,534,216,956,441,323,694,171,447,715,940,854,149,539,648,107,802,525,797,
922,430,240,174,074,791,149,375,158,457,752,045,200,114,031,698,363,120,927,
930,141,385,017,288,230,333,671,778,517,818,051,115,533,181,415,301,751,863,
689,908,913,035,902,647,931,596,214,111,082,364,617,951,810,893,495,392,476,
983,467,054,707,520,234,363,866,991,608,543,309,395,665,247,374,325,445,125,
672,498,081,338,620,066,203,586,545,315,592,845,499,326,055,407,392,995,473,
355,478,236,307,426,574,468,947,102,963,346,286,458,045,122,774,158,734,436,
432,334,148,305,687,666,370,361,171,222,397,117,307,732,779,290,613,200,283,
807,198,679,928,662,524,300,919,337,966,354,452,581,438,926,194,921,102,210,
388,566,829,569,492,019,688,416,715,184,084,265,569,295,316,561,963,516,125,
094,415,001,040,839,191,793,321,039,298,203,689,629,418,657,050,531,994,236,
186,248,885,391,435,430,236,478,621,808,149,785,966,573,606,409,154,741,182,
337,390,176,180,639,232,303,210,195,072,840,638,344,941,604,745,703,452,962,
140,247,879,878,084,903,035,170,641,087,653,135,250,849,777,676,549,398,128,
777,255,308,580,675,965,312,995,088,259,028,286,257,337,725,417,823,615,562,
416,700,169,351,341,982,259,504,967,583,599,395,301,874,490,202,363,384,841,
011,558,444,840,795,991,385,796,635,118,573,554,728,564,309,131,500,237,509,
698,375,333,980,560,580,447,380,695,874,478,158,418,260,613,612,380,816,772,
600,364,716,732,801,655,313,711,891,388,149,688,281,713,331,405,332,299,662,
943,837,292,820,234,672,490,619,112,586,540,604,197,920,888,733,596,121,949,
884,325,560,212,620,296,387,018,092,855,965,199,635,404,710,223,407,957,062,
498,745,785,288,065,951,725,695,717,065,514,563,667,980,826,032,149,582,683,
716,374,128,644,789,389,310,283,876,395,149,344,838,592,089,940,808,808,169,
795,185,673,822,234,572,833,153,567,377,370,646,118,716,682,707,526,292,188,
081,062,847,829,395,836,476,974,782,463,099,171,825,652,620,357,027,933,075,
374,077,745,073,953,018,512,764,742,676,252,162,376,603,416,277,414,461,959,
283,290,436,018,426,027,450,408,038,608,879,115,205,248,701,229,994,254,873,
915,440,544,411,551,037,073,391,333,708,769,256,757,034,356,737,893,281,116,
942,369,117,205,146,358,974,284,792,196,898,927,061,260,425,324,332,397,388,
070,328,853,741,505,772,511,989,933,426,362,972,305,592,980,504,257,874,166,
067,051,871,764,096,548,143,284,835,792,610,978,800,762,871,680,631,913,081,
985,150,408,067,963,558,281,982,398,614,512,294,966,398,207,513,958,446,629,
755,824,662,516,346,865,092,449,038,756,160,104,075,691,878,871,477,548,603,
226,597,506,496,143,464,734,908,011,387,093,173,856,031,723,441,085,010,274,
495,931,242,899,764,499,164,118,646,867,787,234,859,436,951,572,070,758,886,
602,111,655,959,626,697,694,995,385,108,061,100,686,871,097,401,096,084,517,
851,297,021,608,480,682,133,820,546,301,749,483,682,153,891,774,349,688,995,
948,082,788,843,051,350,658,063,621,757,003,711,655,001,286,622,541,362,508,
657,736,906,375,072,589,024,582,790,499,939,895,443,005,725,487,818,019,488,
497,749,980,352,906,159,209,016,157,802,692,642,184,667,468,508,161,229,386,
338,738,673,544,626,392,915,621,031,542,754,886,051,282,615,503,361,154,169,
602,893,270,168,417,620,214,384,684,417,669,623,800,107,603,696,476,436,473,
824,494,326,813,283,065,445,921,715,371,345,165,734,929,791,093,709,337,107,
716,531,290,971,476,699,556,039,714,746,455,319,996,918,735,966,629,075,768,
187,666,036,282,863,873,865,820,693,149,817,406,724,588,665,812,976,821,497,
387,811,426,523,394,969,651,460,283,585,833,091,719,028,572,697,840,313,016,
613,393,257,591,243,355,405,476,180,828,998,335,532,181,556,197,401,185,334,
806,511,155,405,117,863,141,275,315,281,468,618,753,346,470,058,337,447,619,
909,193,191,716,471,776,342,950,776,705,825,683,868,861,436,812,634,070,025,
882,772,485,583,972,969,966,755,646,010,104,243,543,018,918,592,248,155,681,
380,983,509,637,496,014,409,743,045,369,197,973,022,470,901,577,641,203,065,
356,204,780,825,706,860,675,552,334,501,240,890,462,035,127,248,816,368,591,
481,949,433,814,203,734,761,642,281,659,494,106,036,816,294,352,989,715,590,
126,156,847,884,100,775,101,541,666,417,735,868,888,219,146,997,331,496,805,
672,240,693,410,952,509,363,144,536,545,313,946,625,419,736,467,021,366,446,
707,614,755,006,720,073,509,139,088,973,591,314,514,978,630,591,730,285,768,
999,681,867,777,717,546,247,315,743,906,841,219,875,232,381,176,859,873,037,
066,052,146,424,628,987,883,830,483,164,936,403,425,432,448,786,181,348,974,
885,239,548,853,308,499,808,112,779,159,650,848,219,109,157,414,603,033,717,
481,992,422,376,646,813,991,313,467,122,485,771,585,300,823,152,729,730,632,
179,366,323,689,798,788,805,920,912,844,760,281,164,305,342,920,833,913,138,
267,664,456,572,131,822,334,526,918,709,125,402,186,174,310,182,343,788,371,
716,783,421,791,288,739,262,346,933,287,492,038,264,697,570,967,253,156,647,
861,523,762,121,544,231,703,857,694,730,881,414,978,979,641,038,295,560,533,
382,347,497,675,873,916,951,889,378,977,441,895,781,085,692,522,888,518,977,
429,535,465,737,849,201,267,010,043,066,639,747,067,077,582,139,978,258,491,
257,469,486,363,498,586,016,822,697,837,076,106,131,479,453,146,754,281,533,
672,349,436,247,698,852,276,814,660,363,467,907,951,969,689,222,765,866,022,
193,645,113,790,799,575,859,599,959,820,058,006,979,441,166,635,834,586,336,
719,670,140,547,812,744,381,385,018,209,156,855,693,359,840,352,332,601,481,
441,442,622,630,212,282,048,235,256,123,394,592,382,202,399,754,168,467,837,
131,761,993,827,174,031,102,257,640,328,999,825,438,357,897,690,972,429,767,
696,554,503,730,964,324,384,683,058,932,039,302,059,443,862,443,552,633,079,
667,306,515,889,384,402,020,399,443,004,210,241,378,496,209,897,207,721,303,
073,678,931,857,759,381,437,396,890,169,802,498,050,874,253,675,256,811,313,
169,315,468,429,765,364,254,313,465,221,075,075,182,140,078,436,253,364,966,
990,388,893,833,512,449,836,964,001,126,074,924,428,493,627,435,249,258,792,
284,779,478,119,039,790,061,428,328,990,176,435,602,017,023,563,988,370,218,
490,735,299,198,058,734,725,249,787,567,658,862,398,377,348,977,664,056,681,
103,860,030,542,254,426,108,504,938,638,942,857,669,535,145,922,503,459,078,
577,062,713,626,301,554,786,710,689,580,961,443,220,160,297,038,295,761,518,
670,367,328,435,081,878,221,969,796,017,653,170,833,627,739,738,727,645,536,
628,248,966,986,249,019,964,016,124,572,682,997,287,347,725,925,916,424,163,
771,112,707,351,848,265,827,479,825,790,595,308,903,615,718,452,934,886,914,
418,964,405,843,051,292,054,294,096,602,843,996,208,322,907,869,307,604,086,
505,905,769,746,431,284,974,416,215,555,822,852,540,660,888,690,004,319,077,
149,027,486,025,093,569,920,535,833,397,518,171,047,155,449,907,799,936,660,
788,352,487,935,147,218,877,541,896,123,789,507,564,126,008,623,672,628,557,
930,464,502,193,360,323,836,817,941,926,237,355,058,556,044,016,015,906,265,
835,834,719,907,793,364,927,132,947,764,556,712,452,837,148,405,121,024,452,
920,625,083,623,630,480,990,390,820,905,619,359,965,201,606,311,386,592,238,
504,928,908,685,754,799,861,662,095,867,846,565,894,901,097,842,472,338,177,
082,821,624,973,391,383,776,180,177,444,264,922,953,088,822,051,645,754,365,
143,847,462,789,576,624,559,324,775,245,641,252,150,232,389,224,372,882,040,
037,904,413,104,062,690,217,348,527,233,290,823,858,954,755,290,256,652,250,
353,256,862,839,164,872,246,305,242,494,869,128,586,652,389,024,701,521,182,
956,166,302,831,534,238,751,462,003,322,287,025,703,664,019,008,823,409,078,
440,620,926,498,144,279,709,897,334,913,858,233,721,884,061,560,031,911,459,
431,421,117,645,587,189,671,310,348,924,094,355,944,657,938,548,385,476,471,
301,695,557,850,441,685,115,270,450,247,620,193,263,033,426,978,337,825,444,
950,423,197,025,055,339,275,301,991,369,866,169,272,596,962,960,370,695,061,
398,636,855,232,290,202,207,662,907,208,063,901,794,685,903,301,630,873,878,
918,639,287,284,904,867,280,859,157,202,452,532,966,340,299,750,387,893,622,
265,636,712,772,645,057,124,386,536,317,138,546,822,949,101,265,198,892,647,
060,137,230,364,767,712,438,073,113,925,634,339,639,533,893,178,329,420,468,
014,304,905,105,494,762,069,080,266,835,608,653,289,628,568,854,254,945,932,
573,354,756,892,331,686,069,032,104,163,163,688,286,386,099,223,610,851,694,
617,530,372,955,126,462,403,388,083,886,436,583,307,121,607,098,747,557,864,
923,384,236,739,863,427,536,932,503,449,597,972,777,699,962,788,759,458,857,
070,609,702,002,234,222,502,216,954,986,886,733,994,494,258,966,688,410,006,
921,678,084,836,116,949,049,614,233,186,532,063,362,452,437,007,588,364,676,
992,403,953,569,722,530,919,072,715,219,593,948,881,157,661,724,755,148,081,
030,081,146,304,212,011,487,935,397,277,952,369,842,337,575,829,911,713,098,
002,948,462,344,248,759,918,338,866,099,609,597,445,134,984,349,914,465,189,
342,943,717,361,489,661,159,052,184,981,865,807,322,563,273,744,115,591,089,
539,934,084,238,972,519,979,314,674,662,324,690,182,688,466,446,942,307,375,
836,845,099,336,470,541,130,516,496,606,579,081,164,639,409,731,688,728,981,
384,001,039,988,832,871,234,111,880,300,532,690,417,292,268,909,528,951,765,
876,857,145,752,412,180,917,517,776,777,790,234,004,161,623,418,415,165,894,
861,819,542,230,961,031,308,415,655,277,095,350,560,708,520,093,505,574,942,
585,996,623,957,423,628,772,100,675,766,445,133,374,511,661,421,816,796,945,
277,965,566,416,067,170,496,074,816,021,661,720,460,126,006,540,116,670,838,
770,063,680,490,594,933,129,710,342,783,379,563,934,072,094,523,443,149,203,
983,736,058,126,067,278,421,467,943,162,849,448,148,765,594,907,592,115,721,
986,436,699,358,867,377,359,180,993,807,849,875,303,696,536,780,672,006,471,
700,596,956,447,399,753,951,327,469,258,422,135,191,020,021,994,740,292,602,
707,811,253,652,332,740,368,969,287,716,122,383,618,771,781,582,631,948,381,
282,860,852,859,048,058,683,058,881,324,215,512,496,384,608,114,518,788,443,
425,130,324,744,335,201,197,553,092,642,305,985,788,882,944,530,059,204,221,
891,303,825,496,581,278,219,600,336,280,387,867,858,955,553,786,308,744,943,
323,382,933,560,512,812,877,898,700,087,604,318,234,543,676,139,935,688,773,
590,003,297,148,245,294,755,503,090,445,894,245,471,917,718,432,434,330,423,
083,175,188,665,222,325,517,614,536,896,321,031,323,275,942,323,479,378,501,
094,758,496,704,908,239,704,508,121,630,004,077,796,075,741,372,430,417,271,
965,712,915,972,498,468,806,058,041,325,304,056,519,126,465,677,249,497,776,
403,008,780,955,372,753,221,192,535,178,868,813,711,215,126,534,264,647,392,
347,812,689,466,346,894,673,997,314,131,534,542,030,179,847,988,882,257,134,
599,683,691,311,942,356,215,022,491,310,589,609,205,580,520,094,848,214,083,
375,988,696,227,546,945,402,907,670,906,163,364,642,086,233,981,014,797,756,
127,317,240,697,792,662,785,563,647,811,182,229,912,695,554,774,588,866,025,
194,069,887,194,413,972,481,495,413,929,588,676,639,875,171,989,887,287,151,
481,412,882,498,830,396,510,292,091,040,027,924,252,656,399,152,107,903,551,
101,811,010,275,538,197,838,310,906,038,406,322,899,272,353,426,255,618,168,
636,702,061,259,955,910,847,621,831,526,992,063,906,245,140,516,136,253,149,
307,314,146,342,037,615,088,395,073,339,206,270,924,239,625,394,763,092,998,
886,812,377,820,293,045,486,318,616,018,659,055,677,391,289,492,745,320,786,
105,062,948,132,706,776,749,539,767,775,727,603,333,709,782,690,523,475,164,
715,553,248,645,168,304,563,274,576,475,401,930,910,149,216,422,949,744,458,
044,056,377,245,858,612,094,118,710,337,459,920,850,252,839,845,836,276,279,
724,597,091,508,890,881,273,838,974,056,425,980,120,938,988,558,650,797,660,
535,355,024,200,394,496,746,737,755,535,355,531,942,589,044,723,589,883,998,
188,591,286,109,206,946,793,646,898,833,386,503,109,688,614,811,018,943,663,
941,114,613,558,024,995,794,489,903,648,975,894,226,948,442,738,244,437,067,
586,242,716,511,458,083,749,024,727,972,844,861,305,807,357,326,867,084,693,
312,805,830,949,308,938,222,740,266,681,613,938,801,549,622,452,103,585,319,
154,243,253,639,965,304,599,501,078,957,323,046,304,610,421,919,535,483,535,
019,474,066,893,844,414,251,608,281,638,106,476,593,026,214,677,778,143,777,
593,468,604,591,187,606,259,161,625,442,589,903,554,688,318,685,974,516,095,
709,124,493,138,825,156,854,732,373,721,822,636,848,685,594,203,968,050,045,
189,457,389,727,123,712,356,627,616,432,291,770,456,664,949,400,890,239,225,
832,137,405,750,046,996,700,968,250,282,472,314,440,461,399,779,250,193,123,
927,853,393,054,116,140,325,351,735,936,003,667,694,133,488,550,093,673,940,
454,164,540,526,396,953,285,383,969,564,503,798,793,888,556,165,043,337,991,
706,129,329,232,643,457,819,905,775,996,448,420,922,824,851,457,163,689,354,
213,341,328,262,428,445,209,920,970,727,698,060,767,286,843,046,968,907,314,
782,629,286,329,803,347,589,633,460,357,405,348,097,150,711,998,565,201,685,
027,448,639,617,695,798,924,054,856,569,908,380,561,737,430,252,390,076,481,
132,541,610,592,539,648,204,068,999,625,779,630,331,755,591,636,415,681,197,
172,736,434,159,481,096,426,981,821,566,964,414,297,698,577,893,640,584,364,
184,062,203,411,996,330,446,199,867,977,163,133,986,147,468,844,506,864,977,
908,393,176,535,933,791,274,017,483,687,264,568,852,590,637,820,445,433,913,
410,520,813,703,871,506,901,559,216,950,155,664,362,675,363,466,073,946,014,
918,164,754,962,349,354,719,386,535,507,261,153,782,456,544,151,719,523,938,
133,844,530,918,586,636,795,019,104,028,445,001,175,434,233,887,519,651,539,
644,412,421,430,335,758,984,079,058,727,704,897,768,858,655,639,492,052,267,
512,788,018,195,390,973,851,953,554,395,326,085,312,648,233,813,518,652,741,
919,085,642,636,707,124,144,043,257,816,911,352,648,248,749,887,903,674,481,
559,828,966,274,922,669,434,981,538,918,443,462,205,672,677,977,844,756,710,
101,262,151,091,501,719,870,157,870,117,616,648,982,128,870,869,197,435,982,
876,570,269,373,301,724,934,599,020,051,529,057,596,928,585,706,936,938,854,
363,037,767,906,071,942,735,542,819,289,927,349,422,498,023,213,217,295,464,
547,403,484,786,704,319,621,071,810,445,016,910,585,507,735,503,808,821,330,
369,360,167,865,098,913,319,841,913,254,781,533,942,015,885,505,071,211,197,
447,522,526,950,741,821,620,910,474,735,238,701,752,825,984,304,779,769,812,
562,562,634,872,110,112,043,875,413,717,462,222,985,253,507,767,167,105,886,
769,427,449,083,021,426,799,569,311,340,080,791,650,481,546,188,825,218,434,
935,292,931,718,658,838,345,906,069,665,084,089,167,707,019,900,121,142,824,
909,220,702,204,834,039,193,661,499,783,134,209,811,711,904,763,347,637,715,
543,456,588,244,560,000,183,883,768,529,837,502,531,204,874,373,755,405,403,
878,764,326,475,451,618,630,300,850,109,524,810,246,849,824,739,395,359,130,
317,161,208,918,255,042,502,131,749,339,183,539,452,056,886,537,748,938,884,
766,113,250,878,674,969,858,239,400,653,629,807,570,291,341,966,803,119,623,
393,937,280,462,645,860,122,539,991,148,432,031,080,565,624,561,989,359,555,
047,192,444,302,756,630,743,218,813,368,216,745,757,072,945,583,844,156,532,
350,811,040,991,400,168,141,310,615,118,173,183,880,886,882,090,581,184,103,
006,062,652,982,768,420,012,575,587,815,458,098,603,166,513,439,814,186,145,
558,735,176,210,802,216,262,055,682,384,123,589,286,547,648,558,518,962,596,
819,961,448,871,659,599,889,523,339,272,752,156,270,369,913,966,243,199,244,
774,411,559,268,933,010,458,425,015,447,862,007,683,544,073,287,022,340,071,
147,186,695,543,766,520,716,946,267,976,547,763,878,076,978,257,671,154,777,
049,837,133,140,203,794,654,481,365,588,714,487,551,009,287,872,992,427,346,
604,023,027,186,294,443,085,481,452,443,014,805,493,000,156,607,659,961,308,
612,993,589,326,295,769,317,406,972,761,849,233,186,113,664,316,146,413,038,
541,623,544,713,101,562,067,899,468,423,917,451,083,033,322,805,000,668,907,
731,326,441,709,671,557,011,424,349,078,930,486,833,340,473,732,069,082,625,
515,297,817,253,808,228,360,756,151,065,426,754,699,641,704,363,361,373,973,
110,449,418,025,589,664,172,366,898,864,409,764,623,315,805,778,276,990,802,
212,352,740,433,184,169,535,591,921,699,865,795,398,578,112,844,464,534,645,
029,971,282,381,366,332,413,554,962,283,804,768,875,710,975,446,648,843,845,
988,299,036,868,894,256,057,621,923,699,443,152,241,818,089,072,668,476,625,
517,446,990,895,018,886,759,452,990,384,312,774,671,751,049,010,689,326,757,
058,360,954,110,363,409,645,954,045,729,399,730,712,636,674,307,534,819,307,
618,800,908,551,809,398,275,646,474,453,501,188,889,227,186,968,657,116,132,
906,294,352,727,785,787,628,709,063,030,499,787,053,276,733,039,428,915,830,
015,964,708,779,000,282,070,994,303,460,319,122,741,091,983,169,247,247,638,
159,632,962,251,819,794,773,826,907,907,136,370,647,322,966,586,090,283,435,
169,160,446,045,029,005,787,090,969,486,530,808,484,059,251,820,241,642,993,
422,574,295,273,847,510,827,770,931,032,267,944,944,682,836,423,842,317,737,
394,019,815,125,777,656,386,607,456,432,166,880,158,106,642,390,449,113,079,
170,033,293,112,937,495,707,361,515,694,928,485,155,548,642,232,879,595,657,
212,226,738,705,706,313,625,628,393,807,385,329,700,097,527,292,115,831,764,
687,093,140,659,260,949,458,790,133,947,295,444,414,261,064,794,664,274,880,
196,499,398,077,024,634,864,434,769,163,171,778,009,725,458,645,460,902,263,
173,669,354,171,934,450,034,183,178,490,918,760,064,058,070,536,585,258,125,
363,711,457,343,508,013,720,046,893,441,536,580,501,467,366,502,649,122,986,
753,308,288,519,846,044,604,894,703,518,069,764,027,688,659,693,298,420,189,
263,173,243,537,426,255,057,071,455,136,066,855,414,992,583,093,184,517,323,
804,379,135,280,109,020,966,766,981,901,978,225,103,910,553,995,260,293,951,
345,440,669,724,373,347,567,992,311,816,016,021,879,856,895,642,212,962,351,
161,652,403,596,875,660,057,331,790,638,484,751,393,245,388,377,843,699,280,
871,055,421,209,198,708,316,899,867,272,537,385,795,805,576,546,615,981,462,
741,055,396,659,667,586,561,275,688,283,037,773,888,236,493,362,144,269,404,
007,770,950,046,137,713,103,434,564,990,962,228,572,220,555,701,232,935,640,
017,478,949,002,977,324,103,921,883,432,040,669,390,280,709,197,343,764,043,
315,309,006,659,296,324,281,912,101,026,871,770,996,685,395,275,091,083,508,
680,371,160,779,331,117,866,144,295,044,532,045,011,206,419,667,632,739,571,
305,932,524,217,912,022,304,752,118,511,210,022,493,933,749,912,689,693,638,
244,132,218,903,812,629,838,049,734,069,032,253,887,133,862,487,314,573,028,
110,143,290,856,898,190,244,327,680,121,365,133,681,351,932,163,894,281,217,
981,374,185,327,783,134,933,744,007,647,620,536,201,126,557,917,175,096,472,
325,895,144,706,014,193,357,186,902,965,647,869,232,080,641,039,310,498,827,
673,990,444,424,072,016,574,134,644,328,139,378,537,552,939,238,601,194,574,
585,202,931,538,792,055,926,582,481,014,315,052,205,801,714,944,211,582,638,
170,503,473,137,682,838,994,695,313,921,985,675,120,635,395,744,605,029,759,
084,365,041,932,133,277,563,467,057,903,136,320,322,122,370,723,234,799,385,
386,723,354,421,008,304,150,333,559,268,979,833,792,841,956,530,043,074,349,
539,079,816,831,564,755,994,357,146,849,479,758,717,452,352,363,090,738,639,
699,384,810,925,188,177,230,633,014,372,482,192,330,874,469,448,764,635,336,
768,831,806,225,985,344,062,543,031,082,441,884,320,348,410,591,692,977,878,
692,962,974,350,097,348,430,142,405,810,758,504,902,533,220,114,063,082,182,
337,616,983,293,571,294,580,445,860,946,145,002,488,018,400,755,749,793,457,
920,405,596,320,814,413,921,997,151,172,812,928,456,831,567,671,776,563,938,
651,342,394,737,781,950,305,384,378,170,062,960,337,397,189,418,714,081,174,
739,671,355,996,141,584,492,783,890,970,354,222,328,691,213,912,528,655,926,
629,346,295,624,393,422,856,279,051,663,378,733,545,218,782,926,031,849,237,
964,263,463,689,482,791,571,233,928,575,929,915,834,078,595,407,788,087,452,
088,910,917,600,576,099,143,029,116,840,170,874,796,713,686,156,697,226,713,
550,318,984,317,985,057,667,284,576,697,806,360,234,352,423,291,995,512,056,
781,094,105,852,070,893,830,429,189,184,162,186,568,377,036,545,052,500,468,
162,338,385,381,024,329,824,330,049,966,175,790,052,480,270,333,225,104,302,
683,501,959,830,563,241,753,942,091,694,574,031,831,822,519,830,383,415,351,
532,397,971,587,435,575,745,366,428,669,913,213,095,296,001,148,107,913,712,
421,722,379,491,281,320,758,611,558,355,295,974,353,449,622,454,963,731,009,
255,488,440,000,747,291,954,539,554,216,351,060,838,916,602,318,972,494,014,
340,503,209,730,772,607,378,394,225,558,588,454,035,630,255,217,324,075,833,
141,278,990,421,691,967,943,362,052,162,782,766,705,295,242,337,720,820,567,
421,947,012,530,050,823,727,549,696,933,055,195,690,240,242,676,781,688,474,
151,907,649,565,845,616,288,069,001,282,893,455,032,371,218,561,404,665,542,
692,161,254,642,863,064,680,893,095,647,639,241,521,847,431,365,078,635,110,
185,386,727,532,728,083,778,348,532,537,827,395,750,475,236,332,570,330,840,
612,285,285,042,809,727,710,143,548,391,329,416,212,704,450,836,812,481,461,
195,554,897,656,399,117,306,635,681,404,570,404,331,072,465,373,649,884,465,
547,147,274,316,924,554,101,634,600,520,981,283,674,872,231,482,313,385,679,
186,041,280,637,095,124,692,881,197,993,740,627,298,941,434,450,748,220,683,
785,082,049,251,465,263,377,257,256,211,249,878,855,961,463,488,541,250,886,
430,907,148,117,108,337,080,662,438,106,976,272,210,683,899,837,994,833,661,
060,292,845,258,205,582,169,766,458,325,312,552,723,176,336,080,886,055,570,
560,759,168,041,764,985,025,200,649,383,934,627,322,260,728,480,865,561,065,
394,016,044,110,537,734,832,203,618,783,023,068,865,415,479,934,250,463,255,
298,797,350,774,921,951,893,464,111,352,382,325,368,686,588,671,848,122,121,
785,978,554,044,978,842,690,997,365,386,697,697,209,551,256,218,377,654,308,
036,278,962,838,819,533,241,273,611,226,383,173,582,583,588,496,956,857,014,
470,858,514,240,617,352,978,247,452,922,468,016,034,745,043,708,350,100,848,
774,089,705,899,541,071,976,004,242,048,076,415,977,057,862,484,267,950,874,
663,333,376,456,446,429,277,805,664,766,010,378,472,869,033,481,399,985,474,
560,865,665,918,824,775,038,829,466,902,168,058,202,762,686,980,256,361,440,
170,645,947,473,933,566,264,822,631,770,615,119,527,592,255,361,897,251,384,
680,715,816,048,077,918,086,611,652,637,624,279,711,139,653,954,780,181,625,
899,676,880,343,258,285,080,247,062,017,176,488,959,475,722,973,202,508,250,
751,196,643,680,349,656,110,277,588,289,564,847,883,964,932,260,261,970,139,
052,098,471,870,468,527,356,549,136,565,333,895,861,454,686,459,368,946,076,
916,146,519,793,812,340,846,114,342,885,467,482,322,026,455,644,183,546,962,
391,102,059,468,227,856,134,803,019,655,156,656,818,384,660,591,964,588,921,
457,255,509,711,365,080,394,920,826,112,803,055,694,534,054,784,002,070,616,
561,047,841,812,137,546,444,622,227,670,813,446,272,681,648,242,314,365,177,
240,329,720,189,712,002,104,211,717,686,326,927,385,819,732,635,123,752,693,
510,572,402,661,885,720,172,826,764,089,853,853,564,238,050,530,467,357,233,
360,707,337,880,802,747,693,650,959,365,727,385,188,806,636,048,394,345,007,
803,075,373,332,597,978,032,652,162,478,460,683,451,824,132,959,195,504,517,
298,491,512,441,777,144,706,677,985,870,088,412,059,102,195,039,025,781,150,
898,071,843,781,382,853,914,744,732,862,980,159,102,838,511,448,466,223,403,
184,041,003,180,228,733,569,144,135,370,971,888,341,251,983,181,215,377,833,
112,926,394,042,187,050,960,823,115,524,736,067,408,949,957,230,660,778,660,
427,301,141,218,705,393,904,608,290,551,809,386,665,539,518,125,080,918,965,
210,409,298,778,232,446,924,038,593,478,757,239,692,412,165,985,340,852,227,
040,063,054,633,135,991,509,070,625,093,189,922,080,085,263,158,522,039,739,
426,597,684,703,158,162,377,919,270,503,502,764,464,976,060,034,746,204,942,
282,629,524,559,147,035,035,883,183,020,892,579,465,383,924,408,074,160,413,
935,483,520,292,316,196,491,529,033,224,809,243,310,500,429,880,975,590,625,
902,451,735,938,682,774,633,625,920,794,918,262,125,636,368,236,249,032,639,
553,272,345,738,731,062,592,269,037,749,001,102,622,190,396,842,414,049,863,
337,262,172,702,516,458,368,266,019,450,058,971,652,950,737,731,762,716,266,
243,372,599,197,225,926,450,080,650,922,611,810,463,037,262,302,856,471,087,
224,386,901,633,386,114,433,338,369,565,934,941,152,870,197,391,314,822,938,
689,033,589,755,227,710,209,952,807,298,314,777,844,066,497,828,578,975,435,
632,780,369,803,732,694,161,687,583,709,698,784,877,678,159,274,602,056,497,
044,223,527,389,477,599,284,694,967,660,289,448,595,847,212,701,777,463,072,
517,048,899,998,181,685,332,716,950,386,751,694,141,543,872,599,555,494,049,
580,828,522,489,837,370,181,366,376,663,708,383,039,687,350,273,347,491,109,
648,032,432,236,019,723,912,339,267,012,487,692,404,800,476,120,909,543,053,
051,815,408,549,016,849,432,248,102,783,965,513,100,783,536,323,983,675,228,
134,287,103,806,264,950,966,788,753,932,542,495,897,918,761,500,784,576,121,
509,745,929,418,738,234,001,375,451,847,970,973,144,624,701,572,749,220,783,
323,213,539,032,698,986,256,883,431,319,348,491,032,757,451,779,941,950,073,
082,278,797,104,430,306,871,078,762,436,937,633,261,111,712,799,051,602,994,
388,325,614,485,213,845,123,202,547,228,081,691,672,408,983,277,484,198,680,
151,845,154,976,126,904,268,569,864,416,150,353,068,940,901,665,380,963,594,
405,534,778,411,722,512,511,206,448,751,884,524,831,092,002,884,104,338,890,
341,603,061,849,129,581,347,794,562,318,255,022,489,496,104,181,542,703,082,
702,124,560,854,668,956,418,231,225,542,141,792,034,605,743,482,567,083,844,
300,789,599,540,872,163,462,532,366,107,685,637,523,430,705,761,039,545,591,
471,667,570,159,065,414,043,406,293,100,342,703,752,145,874,128,310,475,262,
101,154,781,748,086,652,796,173,691,471,859,497,926,720,069,553,228,356,894,
624,852,988,479,610,603,185,487,000,297,412,256,763,860,059,735,994,887,076,
963,508,584,309,106,016,117,529,804,541,207,478,999,593,018,874,145,111,024,
206,101,488,311,059,029,483,970,504,765,272,130,325,551,947,736,919,951,312,
159,874,565,313,119,065,635,203,009,091,757,779,512,948,064,326,032,846,127,
750,196,864,187,755,401,769,524,038,741,286,122,512,974,076,607,420,600,728,
376,966,016,501,075,893,956,549,650,840,163,662,694,036,092,289,836,856,891,
893,925,060,498,825,199,077,958,927,243,135,708,075,392,978,620,751,104,173,
052,219,607,450,405,092,422,386,022,650,958,546,687,661,784,818,653,324,232,
476,912,945,368,915,895,921,226,642,447,764,638,847,299,126,165,230,459,886,
145,103,577,202,939,398,087,944,744,803,325,832,651,401,128,462,476,587,957,
335,286,746,479,576,061,160,485,644,331,920,272,470,250,386,803,433,451,906,
308,937,936,043,433,263,503,867,677,176,626,541,080,667,940,389,019,075,130,
484,025,173,191,169,844,731,908,610,684,080,222,441,498,612,417,021,908,207,
822,451,217,651,132,352,253,506,188,021,855,679,173,494,818,630,316,005,315,
466,689,494,242,363,422,957,819,105,125,263,041,486,679,302,441,153,500,634,
901,714,878,542,701,559,774,183,828,741,383,878,577,587,340,656,550,805,934,
419,177,618,267,417,935,098,544,343,600,294,838,308,245,765,183,827,961,508,
737,918,467,521,854,947,218,939,509,582,762,803,520,619,304,158,911,834,543,
616,775,589,058,923,944,681,118,941,083,428,076,464,441,090,487,464,726,478,
941,110,262,828,689,875,316,895,760,061,059,074,773,673,406,250,218,203,260,
441,350,329,981,545,998,108,556,599,879,800,058,930,864,131,086,842,325,465,
478,660,951,796,477,910,619,773,834,524,855,840,319,313,001,823,907,006,253,
284,402,024,353,861,240,625,543,615,807,818,805,514,314,718,769,266,121,082,
766,060,482,974,119,411,241,622,461,979,399,390,661,132,503,871,353,386,636,
929,449,458,496,398,615,951,119,607,132,853,427,514,439,251,747,092,800,480,
635,216,596,619,403,525,792,078,758,231,364,192,178,183,139,619,838,303,231,
669,851,915,683,746,785,123,277,074,900,616,585,221,096,087,963,932,061,390,
577,476,857,256,340,887,399,328,202,602,649,218,450,893,181,516,433,005,767,
856,685,622,539,180,509,723,915,625,632,785,825,054,437,348,624,024,469,336,
646,561,663,938,991,459,720,316,351,432,929,598,082,257,315,519,419,209,869,
942,029,323,908,681,657,413,516,630,536,356,702,101,596,664,704,787,343,704,
030,425,615,881,029,915,598,763,142,553,725,272,160,327,331,343,673,149,777,
390,382,466,147,433,091,829,886,887,566,011,672,765,262,326,968,314,427,581,
449,278,569,838,298,436,315,511,919,082,475,143,892,200,453,964,116,503,016,
630,179,758,476,157,951,784,746,172,327,018,912,623,097,698,040,604,782,621,
566,902,744,901,487,317,119,901,391,663,422,124,645,643,795,726,833,288,490,
697,007,868,470,079,785,763,511,345,871,836,721,211,616,501,633,581,339,461,
845,738,138,820,512,897,048,117,203,599,998,627,947,537,231,306,990,206,802,
112,170,500,896,093,810,914,329,279,763,964,798,497,499,259,307,310,428,468,
265,637,012,268,653,899,818,766,966,963,159,975,784,227,664,101,450,424,496,
405,768,015,134,644,143,083,165,608,326,175,103,397,012,997,320,968,859,017,
267,886,444,421,454,667,027,327,468,478,538,079,741,502,525,001,690,879,666,
245,987,643,519,486,775,530,083,276,382,973,973,273,275,113,691,776,353,543,
143,835,200,088,059,001,195,776,450,405,581,266,513,790,158,994,440,998,128,
931,246,299,445,624,338,782,449,554,234,445,773,851,986,033,473,829,350,979,
203,873,311,475,386,651,511,209,150,023,266,779,660,604,791,813,465,700,854,
836,125,098,728,255,307,015,595,041,874,297,279,293,580,960,570,270,259,245,
323,904,313,036,455,353,714,917,973,491,663,254,004,768,816,247,164,731,938,
118,728,268,257,162,618,942,191,425,601,174,657,337,622,517,628,301,987,643,
610,399,735,613,733,906,047,903,122,980,561,884,580,798,216,824,029,021,990,
674,695,100,061,223,563,251,556,200,119,339,494,792,822,823,674,094,476,164,
815,348,925,301,530,443,080,308,043,190,638,646,460,360,232,339,901,414,993,
912,505,112,201,119,446,046,330,322,296,207,159,393,205,117,302,424,482,102,
980,208,509,773,925,385,746,890,962,061,864,876,991,766,097,686,719,187,577,
612,818,663,843,264,114,095,118,464,490,425,827,976,574,285,331,952,246,056,
179,104,780,944,936,991,565,520,916,075,046,524,683,633,689,036,028,549,659,
506,550,207,120,399,835,786,574,374,716,415,563,901,463,079,172,112,461,533,
630,112,039,522,536,522,839,573,186,055,977,303,443,369,481,196,816,490,166,
085,495,903,047,018,582,821,755,865,496,734,173,117,775,503,140,027,251,145,
319,857,739,591,648,301,560,672,682,187,236,053,816,992,713,096,838,042,268,
668,828,011,466,438,482,853,890,320,718,884,734,469,564,083,300,308,224,171,
583,488,815,822,751,032,311,023,169,390,091,010,988,515,194,530,194,757,852,
080,875,137,460,406,620,634,355,993,230,925,810,869,910,727,385,985,544,139,
209,380,150,876,232,164,895,909,133,904,651,484,537,229,300,880,002,770,652,
759,375,206,997,275,245,367,738,298,349,790,887,757,699,622,699,270,752,283,
181,667,114,852,053,780,923,940,172,443,340,410,573,107,982,920,935,779,574,
300,188,168,158,484,296,969,149,042,281,675,146,739,699,356,132,396,860,966,
069,168,798,146,504,833,905,999,552,085,289,424,665,051,857,948,260,923,878,
056,888,169,468,659,234,508,453,640,219,759,837,048,609,431,634,088,052,805,
224,503,522,553,977,072,274,588,990,628,611,397,312,260,671,761,324,280,189,
786,282,025,352,070,627,136,700,324,731,883,925,334,444,750,850,906,057,505,
197,286,139,114,557,446,201,598,591,403,379,215,036,947,124,753,664,736,523,
735,187,682,283,825,747,461,617,104,479,957,672,100,631,448,176,607,688,246,
095,844,206,406,336,042,763,953,446,605,849,538,511,741,376,870,257,455,323,
611,643,336,602,706,722,175,023,038,858,975,669,225,936,961,615,497,672,454,
974,780,886,768,186,242,010,235,875,843,215,455,329,553,333,439,565,416,948,
890,106,104,510,253,455,800,875,198,649,940,137,690,515,639,300,930,779,272,
360,946,232,324,279,909,910,713,977,238,338,166,894,842,477,120,167,531,432,
921,173,847,673,832,791,003,535,947,179,388,274,102,720,537,393,093,961,272,
848,512,981,090,388,821,550,125,324,448,320,514,920,087,040,152,944,764,732,
947,731,912,709,742,806,928,110,696,320,978,360,342,722,535,662,794,356,233,
721,519,374,998,502,359,393,834,652,849,231,185,914,575,065,110,152,291,779,
139,460,833,986,306,410,970,779,340,596,304,357,974,289,711,689,289,121,310,
648,069,917,758,379,156,068,255,398,098,914,804,559,597,243,769,839,669,491,
687,207,782,719,106,977,621,896,271,968,396,230,320,245,196,845,259,038,667,
283,207,588,766,625,900,023,532,702,900,036,872,095,359,606,114,909,231,607,
258,877,208,774,765,093,870,883,953,578,852,961,353,844,414,179,392,164,888,
417,838,451,376,169,709,937,318,020,123,189,323,695,158,043,459,178,770,594,
528,339,133,950,678,330,484,870,999,282,386,377,608,684,441,872,436,305,324,
299,626,066,484,700,288,059,308,998,033,739,866,402,501,922,625,721,899,866,
056,698,610,393,425,496,684,312,566,222,654,813,148,382,008,002,172,957,244,
111,215,214,915,565,720,564,201,158,896,495,212,785,783,278,192,554,627,411,
344,619,177,613,639,282,412,179,085,590,453,900,881,893,682,475,540,661,962,
139,897,757,276,369,102,718,644,119,830,009,854,462,092,282,153,452,771,759,
760,531,949,227,960,021,004,744,610,190,285,885,767,357,383,659,361,822,233,
502,329,934,927,050,751,727,918,080,070,947,619,277,806,070,984,396,794,270,
101,882,212,057,753,355,517,967,044,268,517,671,678,102,194,894,604,255,281,
972,585,574,911,003,033,462,813,471,679,430,075,896,572,541,157,760,914,884,
336,647,526,363,330,863,248,344,803,386,022,307,920,341,507,130,521,012,011,
382,034,195,794,613,575,000,487,425,525,853,748,228,606,854,943,579,429,645,
505,964,165,994,918,484,900,732,009,634,081,115,661,358,968,524,717,074,160,
356,392,055,836,839,322,521,284,783,179,146,663,664,465,782,096,444,606,348,
260,246,986,898,907,372,230,421,401,078,525,255,708,169,442,375,081,738,942,
755,992,107,249,180,924,509,338,631,388,204,276,900,722,451,477,382,045,127,
370,800,647,859,304,131,036,411,857,618,987,735,570,582,657,127,289,723,478,
541,461,006,421,301,596,195,923,458,165,346,209,683,593,692,597,443,234,605,
882,204,821,312,291,419,109,415,318,538,300,350,981,303,447,676,471,984,445,
708,962,844,607,909,013,707,302,003,302,426,877,454,063,487,457,404,868,593,
729,043,325,862,706,948,014,296,700,329,521,583,597,171,999,803,440,231,803,
186,143,362,944,256,524,656,158,534,338,717,771,211,972,132,302,208,209,892,
734,536,876,628,436,115,142,934,625,013,005,251,075,953,133,162,059,732,390,
623,580,315,934,162,926,293,400,372,285,393,396,126,982,055,410,860,671,826,
602,299,619,462,632,690,255,099,107,106,652,842,560,052,026,839,131,198,620,
575,824,472,414,295,425,149,816,234,744,528,018,007,291,229,803,747,738,705,
799,407,551,880,025,414,566,033,197,722,530,678,236,026,316,654,651,388,988,
658,496,465,833,909,687,494,990,427,066,907,523,406,988,207,217,381,432,992,
002,971,712,656,081,274,840,258,023,370,218,008,344,206,087,664,240,013,732,
992,425,874,148,149,068,769,504,106,711,722,880,545,847,171,255,581,248,584,
365,727,252,088,573,861,423,595,391,128,664,219,236,095,270,496,669,595,204,
816,130,043,157,122,026,124,659,626,377,211,668,985,400,467,060,690,078,927,
543,883,056,285,144,383,328,731,579,932,364,445,009,207,351,176,651,936,182,
098,898,939,733,098,625,118,361,966,030,653,159,310,959,428,669,082,389,578,
278,649,359,080,348,916,427,213,194,464,645,293,409,697,771,595,540,098,301,
731,422,146,911,920,877,274,616,443,849,352,135,201,643,752,058,663,024,428,
238,263,346,141,208,769,000,350,830,668,281,611,257,325,738,594,018,654,613,
833,280,900,885,429,948,118,062,880,701,666,314,235,614,228,791,267,180,534,
643,990,535,722,445,452,908,144,091,128,945,740,733,019,124,937,449,118,459,
623,617,624,280,145,133,347,028,208,894,967,611,487,555,081,706,088,921,618,
103,926,898,835,417,978,107,368,405,830,820,590,647,220,482,286,561,019,903,
222,482,169,227,716,413,491,142,364,413,817,805,737,798,431,390,172,565,775,
436,964,136,697,462,908,242,988,186,651,895,624,077,862,893,875,751,214,803,
311,706,545,329,479,082,118,655,947,058,537,164,921,469,145,780,918,775,904,
302,194,881,760,374,445,980,401,076,147,440,388,600,560,844,857,214,892,194,
893,878,099,863,030,612,757,153,037,772,304,707,952,186,337,463,382,701,799,
483,366,346,451,986,432,971,158,115,921,410,067,749,479,808,777,505,744,113,
788,204,022,425,180,737,158,922,717,353,247,877,698,741,802,781,567,320,190,
120,974,637,120,264,320,195,225,689,390,874,333,955,588,176,638,044,788,052,
145,207,972,029,168,288,396,265,537,955,463,184,074,696,027,450,733,794,372,
669,591,662,635,434,916,928,265,028,205,582,693,568,909,281,687,418,459,941,
579,220,598,878,158,940,206,116,870,959,564,270,083,084,326,276,506,894,890,
047,442,121,886,630,819,835,577,030,195,509,994,164,462,206,656,721,928,864,
818,258,244,714,287,009,133,161,401,884,664,313,603,858,380,104,828,948,804,
788,193,849,846,783,336,878,073,100,408,979,065,513,142,102,641,757,304,140,
826,153,931,777,417,787,429,714,278,803,829,108,819,284,665,224,373,153,526,
342,675,898,674,205,825,416,521,716,836,970,366,928,705,163,242,662,387,960,
421,256,665,363,694,056,749,743,451,040,012,754,360,977,864,143,063,219,715,
912,981,266,364,766,648,906,080,254,923,946,699,572,937,280,691,760,173,158,
308,839,537,309,766,068,844,544,711,410,593,100,730,361,483,294,051,274,738,
636,789,917,181,418,434,254,924,375,585,991,142,517,104,125,908,071,032,161,
317,284,613,628,913,096,931,350,443,537,392,711,252,761,827,027,688,305,678,
552,646,587,703,335,676,430,236,062,627,998,753,291,827,756,227,351,539,055,
580,708,710,173,555,467,659,275,295,937,846,671,728,947,299,216,777,933,481,
996,696,413,342,496,758,332,691,321,370,117,716,280,888,940,403,568,729,461,
653,713,559,442,303,845,795,846,896,190,918,204,800,587,384,309,429,301,452,
286,496,497,533,827,809,601,582,523,210,997,816,610,926,359,980,531,332,528,
014,865,168,395,605,996,483,937,834,788,105,356,323,145,318,605,478,611,122,
742,199,011,369,963,753,246,657,531,288,286,667,316,556,755,270,951,313,849,
635,058,490,832,569,455,908,877,935,438,608,906,986,749,838,788,059,832,293,
115,300,184,914,452,060,910,038,518,441,663,677,516,406,620,802,058,815,613,
885,515,807,481,937,649,669,923,798,236,742,378,958,526,916,994,724,507,889,
245,633,164,476,598,115,611,190,833,732,542,542,226,991,613,518,596,099,460,
420,732,234,810,956,771,146,077,015,241,251,021,847,876,905,762,342,792,414,
126,963,231,647,332,527,917,390,387,854,174,270,069,952,814,272,119,353,023,
561,872,311,730,526,216,713,960,086,509,169,610,691,740,412,094,298,293,279,
355,929,382,326,815,909,799,978,701,289,323,588,242,103,371,065,706,681,599,
217,636,295,389,145,860,807,132,849,352,071,391,236,022,356,237,285,394,389,
193,823,799,823,982,482,264,307,225,320,610,336,818,406,315,419,360,890,052,
078,032,599,511,672,710,187,772,413,752,110,203,949,365,841,318,695,445,270,
726,402,043,866,237,130,256,000,232,645,158,521,705,500,971,682,327,819,097,
683,092,841,503,048,216,474,521,523,093,854,272,698,053,499,079,321,766,153,
641,921,539,224,296,429,888,257,141,028,460,861,084,492,635,418,722,730,428,
641,150,737,732,128,421,814,050,033,236,865,471,995,752,442,618,443,055,886,
678,889,283,769,198,229,126,448,853,357,056,330,760,147,085,916,896,286,090,
231,385,893,763,037,849,750,153,077,693,879,545,728,237,035,178,165,316,915,
850,782,706,713,935,618,624,930,633,422,464,735,967,247,549,280,896,842,283,
209,657,641,553,207,655,685,411,946,992,843,670,657,804,478,944,655,305,859,
592,732,716,624,213,847,713,045,653,481,818,035,818,866,831,112,731,293,052,
611,046,286,054,376,436,502,352,695,826,741,816,762,979,516,696,156,137,558,
080,623,950,832,036,460,629,963,090,348,017,835,636,905,692,977,770,763,779,
440,070,233,744,486,336,482,656,507,725,266,204,737,532,764,898,067,953,192,
024,411,288,321,579,269,730,566,918,266,802,191,286,102,140,735,652,128,281,
612,282,820,447,702,658,093,218,879,254,677,350,500,817,158,923,641,457,496,
647,952,194,166,595,240,735,798,702,038,261,260,202,956,319,197,061,878,317,
491,402,845,473,586,731,519,694,845,183,599,293,772,331,815,742,629,402,609,
110,173,683,332,139,274,221,257,182,158,615,120,445,922,694,724,118,825,124,
392,788,159,384,948,792,306,412,235,925,479,251,472,365,123,634,913,020,897,
889,851,140,757,011,183,048,108,439,354,168,695,683,684,726,969,990,019,737,
958,473,701,017,518,483,273,103,386,360,586,799,136,613,480,294,730,273,408,
165,128,040,582,870,452,813,972,459,661,884,978,406,871,187,526,127,989,447,
630,505,075,850,861,802,817,039,717,573,289,569,636,896,103,773,019,065,975,
339,916,705,500,818,384,412,831,377,832,382,493,768,012,645,383,597,065,616,
960,989,829,884,511,770,692,175,383,369,129,298,770,964,342,108,244,953,184,
126,571,969,315,607,685,922,803,414,397,605,754,621,577,367,442,536,695,891,
612,229,539,891,341,690,052,418,170,687,538,010,833,787,344,954,529,082,823,
208,750,178,132,440,845,924,066,869,797,455,747,675,971,169,785,613,752,232,
020,886,978,421,343,424,880,073,421,000,305,800,541,460,098,792,363,090,619,
149,407,584,099,385,853,245,708,185,226,604,446,814,915,041,652,946,550,064,
231,493,859,030,781,766,353,393,736,065,634,182,617,177,842,853,660,731,010,
541,703,120,541,353,072,308,256,489,699,320,393,192,768,958,579,239,099,483,
625,006,273,485,981,925,029,543,852,004,196,733,199,666,738,209,653,733,688,
704,449,047,628,497,394,524,328,840,603,443,597,915,473,239,714,939,977,217,
559,262,112,544,121,747,897,888,739,677,053,508,652,920,361,561,796,203,580,
141,219,914,994,794,911,597,087,675,092,527,429,507,491,328,137,238,787,989,
664,526,705,481,165,445,727,054,335,233,081,897,969,818,966,764,017,329,532,
069,374,566,097,377,375,139,906,450,568,933,870,731,642,402,376,677,907,549,
227,679,502,939,896,155,232,882,601,629,867,142,076,711,565,550,643,945,438,
044,112,069,103,725,220,697,784,512,931,590,256,787,468,085,672,539,314,066,
065,845,909,798,988,552,707,766,714,900,733,905,259,042,233,837,600,055,353,
562,440,619,132,136,979,821,671,900,368,307,956,858,003,047,955,819,899,834,
915,863,515,406,263,901,351,852,174,238,952,331,600,218,893,156,200,976,930,
030,005,768,430,365,824,629,189,624,993,021,664,384,843,014,407,851,958,213,
121,495,323,352,064,037,409,654,093,567,677,649,007,409,574,489,118,688,294,
498,339,640,707,847,373,414,421,028,634,894,837,412,377,040,170,435,175,749,
940,974,478,513,296,367,354,782,216,869,114,715,063,932,967,966,177,660,382,
293,057,100,601,406,334,987,270,390,639,734,134,156,286,995,826,287,798,384,
883,694,360,830,385,253,735,893,413,317,689,499,284,312,801,842,389,611,954,
159,023,962,672,145,561,746,993,134,597,795,818,717,661,385,635,822,771,021,
635,722,398,138,889,000,374,032,224,464,219,848,983,038,439,050,956,369,583,
199,680,213,091,880,238,771,254,136,948,114,218,134,638,850,476,210,328,492,
516,736,153,912,339,190,368,793,602,980,827,129,476,115,303,244,396,332,559,
781,788,462,631,129,227,551,787,022,392,727,510,174,728,957,550,094,857,894,
293,163,313,588,702,318,638,597,927,958,057,314,121,027,059,748,884,085,488,
513,313,161,576,966,839,117,749,149,514,906,218,596,904,823,233,395,654,948,
162,140,187,958,729,544,014,023,452,720,955,248,453,349,965,989,239,929,633,
963,464,806,196,544,008,755,524,191,201,466,038,963,803,358,014,700,956,397,
052,300,703,484,424,707,414,880,117,425,009,302,811,861,043,411,294,313,393,
297,429,880,557,584,168,449,785,119,209,566,160,008,699,779,301,631,745,556,
971,610,174,774,428,848,262,201,573,999,117,641,228,774,833,089,779,307,009,
739,178,500,266,430,808,501,759,032,609,839,153,263,402,716,485,887,587,294,
185,933,338,415,005,967,239,947,238,381,483,735,606,512,301,486,538,048,614,
124,982,683,145,014,834,228,203,208,187,153,679,365,192,289,351,323,453,866,
368,535,621,782,744,182,031,989,157,830,528,013,626,395,536,172,834,324,862,
616,189,910,877,592,357,529,174,603,243,430,030,129,444,926,756,099,564,958,
475,772,636,102,096,204,959,710,178,876,581,875,398,457,916,297,583,389,452,
186,570,100,397,040,340,805,470,299,702,822,311,222,463,078,631,845,887,502,
693,699,195,633,859,386,658,119,150,353,042,133,645,727,371,774,157,605,048,
089,501,153,675,941,100,744,163,955,210,357,756,710,811,210,187,254,923,482,
235,402,969,034,976,125,161,377,335,028,212,781,839,812,797,625,684,312,885,
472,823,836,321,895,507,050,074,733,554,929,904,748,620,923,620,538,222,052,
532,569,194,801,749,582,959,194,549,010,653,735,850,296,634,435,069,010,966,
526,821,969,856,942,648,125,491,388,577,400,169,776,883,877,254,117,791,981,
029,644,471,521,884,252,452,368,033,352,558,766,930,813,195,840,061,681,531,
716,688,135,180,299,807,899,414,811,780,412,763,490,328,272,460,820,770,302,
506,508,520,567,150,324,074,923,437,902,228,577,589,858,982,953,108,612,861,
064,039,519,120,272,242,810,826,186,501,607,546,831,015,897,393,135,510,404,
643,483,232,271,093,167,026,695,823,222,348,752,306,010,661,897,478,641,579,
675,721,671,395,921,791,459,946,186,151,891,750,596,885,019,238,309,116,008,
933,401,113,297,154,533,147,881,662,697,056,507,613,678,784,689,107,285,543,
025,098,333,905,263,663,658,257,882,071,941,037,795,218,056,491,908,827,066,
083,331,557,124,760,036,034,629,752,759,241,736,306,730,335,653,761,158,040,
875,071,243,164,745,130,059,273,731,553,860,978,292,139,344,224,261,419,009,
085,400,805,054,357,546,268,945,802,461,352,981,742,665,040,007,052,620,386,
295,081,369,196,201,983,079,995,025,649,035,490,957,027,977,610,467,531,810,
141,802,318,678,686,051,818,482,298,837,281,049,335,119,633,224,689,042,870,
889,094,754,821,541,818,610,203,602,269,475,810,403,774,171,681,803,265,997,
722,020,294,059,236,404,052,462,877,917,367,532,171,257,017,402,489,734,269,
037,721,044,312,705,156,167,933,622,791,582,807,016,335,480,338,817,206,681,
058,288,943,443,526,518,726,986,976,030,075,732,722,032,297,375,086,642,136,
862,778,798,044,199,969,174,585,141,206,712,205,770,601,513,176,389,193,959,
870,362,752,545,106,794,092,694,840,734,618,805,671,377,999,422,267,660,071,
487,428,693,017,843,847,366,862,258,659,279,963,211,675,835,005,579,849,814,
584,810,381,661,384,357,073,318,154,406,977,704,832,784,389,005,626,025,265,
008,768,190,288,714,306,617,296,167,953,503,011,738,379,322,587,161,028,356,
854,107,102,267,219,105,873,179,801,409,207,769,367,279,324,699,809,571,299,
930,511,776,947,201,968,860,091,068,632,308,355,586,952,211,817,811,907,770,
317,973,145,005,200,924,776,518,119,729,722,555,555,685,550,753,998,636,512,
943,021,479,296,897,760,851,166,782,630,304,412,707,209,954,857,549,807,062,
578,890,859,284,876,215,085,817,339,172,481,449,671,290,716,537,649,408,644,
404,949,957,908,808,314,462,123,925,132,907,019,184,949,947,686,814,636,404,
530,355,393,198,877,179,385,056,028,577,002,653,506,996,540,851,122,145,912,
874,794,322,555,852,023,790,323,021,211,789,860,941,182,417,397,356,528,312,
101,569,770,654,939,440,475,107,176,164,614,035,797,358,059,268,437,031,312,
767,203,443,589,360,874,136,111,980,758,140,123,429,471,269,157,728,520,810,
202,515,082,134,801,590,311,765,667,664,554,533,151,491,888,451,244,601,396,
988,807,068,617,849,689,662,634,176,200,069,353,129,267,799,595,729,975,153,
832,630,817,978,724,315,027,891,461,682,048,542,287,670,749,585,256,496,229,
068,750,396,210,568,176,247,739,535,926,264,698,699,819,749,848,186,861,471,
205,039,446,655,860,031,686,272,923,051,662,608,821,098,663,800,619,538,488,
377,931,749,600,967,583,730,837,778,955,248,786,159,582,225,967,218,105,446,
650,265,890,404,435,407,170,144,374,483,425,599,945,965,878,641,014,826,653,
979,187,809,790,828,737,776,857,655,348,730,931,868,003,975,625,908,818,801,
939,234,419,422,964,156,682,320,176,000,626,853,780,763,073,558,366,288,505,
711,308,762,676,667,408,679,665,213,421,480,774,131,768,713,623,468,931,616,
573,088,268,594,215,348,535,496,938,780,467,203,669,515,222,758,131,899,663,
532,464,809,344,746,449,198,949,170,671,363,512,299,034,735,831,908,634,001,
275,061,782,594,460,752,045,017,349,318,206,693,346,771,438,932,447,156,458,
146,641,479,700,532,485,061,416,866,876,418,405,204,109,195,053,966,298,765,
619,470,278,523,493,907,220,383,096,712,108,979,174,272,766,675,133,620,715,
109,700,461,195,926,376,143,473,253,354,705,097,272,576,283,729,426,529,962,
754,284,138,634,732,774,490,294,204,896,681,827,888,809,748,547,938,858,160,
669,901,518,716,812,965,531,834,552,689,160,347,700,124,254,129,236,616,159,
976,319,058,034,959,298,630,866,384,726,966,092,142,268,432,101,664,261,070,
000,021,599,895,426,757,200,716,218,566,510,350,190,680,372,743,506,735,888,
067,996,980,025,235,041,398,850,719,982,707,050,179,160,264,599,273,916,531,
868,224,531,460,508,051,667,166,566,835,294,903,681,173,339,999,875,843,979,
490,063,591,198,927,475,627,704,505,579,310,968,048,840,844,104,412,891,425,
208,915,307,144,947,535,315,731,001,433,117,302,812,407,333,855,959,422,831,
936,184,145,961,583,596,364,311,880,843,957,304,716,397,218,092,709,978,269,
017,227,430,121,683,628,033,101,300,315,349,830,596,797,147,568,518,044,647,
533,069,141,844,316,035,819,461,459,989,086,194,046,909,397,226,971,742,433,
339,374,078,619,100,919,452,210,057,109,855,883,384,911,303,159,079,021,743,
106,357,968,561,696,462,211,282,658,205,466,553,991,259,213,343,879,145,454,
992,383,902,419,745,695,977,952,441,844,388,011,209,349,717,640,549,340,201,
277,218,618,007,267,363,602,201,050,920,991,173,643,956,289,820,399,706,335,
674,953,813,535,709,304,726,217,615,880,748,084,028,593,066,844,551,563,981,
877,084,737,820,822,476,939,145,788,322,286,487,998,714,114,238,398,312,484,
780,092,453,457,419,443,299,673,730,843,319,378,634,283,840,488,641,292,156,
358,774,818,093,257,747,126,766,833,878,122,063,450,692,779,922,415,363,921,
203,345,027,415,252,579,078,910,145,873,215,119,766,691,730,076,205,961,693,
925,453,912,012,192,590,161,367,731,191,363,701,225,211,140,375,351,149,775,
295,459,510,646,424,069,532,460,537,414,062,763,500,595,031,724,118,310,501,
127,498,406,166,559,802,869,800,300,705,780,618,890,088,203,758,434,913,309,
580,152,059,478,964,580,579,534,852,754,600,788,225,093,172,346,747,018,780,
202,356,123,025,132,105,068,057,642,681,336,504,167,856,494,067,225,280,057,
469,755,760,491,258,266,455,499,616,689,565,090,630,440,945,809,782,498,141,
283,022,247,639,663,792,352,141,817,292,553,289,625,135,227,798,913,409,623,
030,765,162,684,531,552,151,049,236,704,964,213,595,612,574,727,288,918,453,
269,712,667,677,427,941,661,177,438,633,884,997,539,969,736,363,822,043,916,
927,699,918,950,535,969,054,849,561,415,070,951,977,031,008,878,427,512,162,
145,558,232,430,039,501,389,074,489,748,870,549,837,346,842,745,070,113,695,
314,586,892,203,821,704,977,639,676,412,123,275,646,178,552,916,421,701,142,
539,954,663,133,386,441,597,290,036,064,885,504,048,740,447,320,623,974,595,
323,485,408,198,947,169,962,959,564,937,795,400,160,184,649,189,470,696,663,
884,359,901,304,165,603,134,791,388,096,965,200,551,865,561,162,423,650,724,
628,006,896,787,723,446,539,890,206,746,187,547,815,572,840,353,275,744,036,
731,907,637,030,625,267,887,778,388,865,597,552,090,667,499,112,228,748,472,
898,824,173,382,803,634,887,771,965,115,159,549,281,563,116,247,131,851,627,
700,320,326,328,152,086,209,493,258,064,993,979,120,908,144,338,937,673,016,
716,398,247,115,195,984,929,111,024,156,358,812,413,142,303,518,549,981,840,
701,856,886,068,387,005,480,327,159,801,285,471,157,643,720,796,240,743,420,
477,425,901,760,187,082,421,399,292,849,896,824,185,001,376,946,820,041,781,
118,966,544,097,524,019,763,525,133,979,684,711,225,691,850,851,753,673,838,
637,349,779,170,823,472,624,567,853,532,360,662,149,662,872,529,819,278,640,
901,254,418,854,105,331,285,221,298,972,267,599,652,345,824,773,945,529,614,
888,538,051,215,657,642,527,684,007,627,253,470,245,443,649,546,827,730,138,
871,024,140,118,385,796,387,790,041,041,969,784,429,756,302,824,670,595,643,
670,096,290,834,124,450,582,952,954,433,768,691,000,252,254,856,702,328,154,
996,961,052,850,896,149,724,153,903,913,059,537,709,851,898,153,405,417,522,
631,221,773,195,755,225,215,549,534,314,585,640,283,175,530,124,372,909,325,
897,906,494,358,551,337,500,320,209,130,378,776,362,106,417,573,005,493,785,
320,522,295,675,027,896,022,050,589,011,626,765,551,631,568,912,213,246,993,
729,699,837,100,269,958,126,748,900,162,654,937,426,374,123,703,413,811,592,
261,853,540,572,812,267,755,994,187,900,209,686,545,992,150,698,924,133,725,
724,368,410,137,803,200,338,695,784,724,277,207,816,335,851,893,061,865,048,
917,395,538,505,100,353,032,250,530,162,406,393,705,992,325,944,894,055,676,
540,259,513,835,412,908,994,266,029,748,165,428,933,810,526,322,560,994,058,
056,430,437,420,504,611,132,412,875,979,285,944,789,025,922,767,479,176,411,
788,007,183,149,577,358,992,495,255,012,463,149,595,967,366,347,648,481,403,
159,628,501,530,134,448,186,242,999,778,058,778,709,850,668,049,696,158,713,
999,727,965,203,160,048,995,971,388,877,350,813,146,519,714,643,624,726,824,
797,122,066,298,656,638,880,753,246,841,546,972,147,092,263,991,001,421,446,
054,807,461,047,993,411,964,612,406,992,574,566,828,705,114,798,467,695,268,
263,830,306,655,473,415,631,291,240,740,114,980,115,464,659,460,039,462,551,
717,365,656,591,039,446,062,981,016,471,489,601,485,483,231,415,789,212,972,
282,969,321,964,943,832,598,942,709,774,015,553,553,062,204,616,104,813,586,
606,053,298,798,618,240,343,324,026,411,968,323,288,034,505,285,846,384,217,
909,425,262,036,940,708,292,168,006,902,850,020,237,004,383,620,905,974,046,
518,157,287,808,918,940,976,574,621,679,350,649,730,769,687,279,781,924,417,
011,383,379,911,625,681,004,539,028,512,229,014,846,966,445,835,465,162,461,
635,376,544,532,878,222,793,790,980,565,125,124,043,763,387,551,324,633,375,
235,954,004,632,783,919,789,827,774,683,828,543,487,432,783,941,033,323,020,
878,126,597,259,007,114,688,076,553,083,512,488,068,494,195,874,756,139,524,
311,307,588,057,479,219,148,553,759,823,536,370,901,685,625,910,481,616,759,
454,182,085,119,375,156,331,490,462,046,383,601,723,357,244,992,291,665,113,
191,497,087,664,270,833,635,337,234,937,389,444,872,590,750,905,572,173,108,
409,442,322,319,709,502,640,382,288,128,183,976,895,357,684,075,965,703,267,
837,280,069,949,782,663,774,053,701,318,163,902,202,262,176,719,008,383,678,
034,475,322,022,863,406,301,745,943,437,923,771,769,379,358,843,895,154,881,
341,566,633,866,469,670,890,308,553,249,608,653,475,730,076,838,636,363,879,
731,619,033,103,327,585,985,331,477,853,202,224,565,606,257,518,854,404,169,
151,483,262,237,665,395,450,797,296,640,076,949,282,347,401,577,291,492,646,
416,524,761,673,346,324,185,471,433,766,190,534,645,010,164,046,610,207,159,
370,352,625,047,663,599,765,841,127,788,434,340,144,602,895,486,578,793,604,
699,126,655,430,713,380,957,344,334,442,245,514,852,102,045,167,530,086,257,
928,712,000,744,720,974,062,980,520,469,811,544,978,995,767,548,777,365,119,
836,736,109,332,458,843,569,636,705,145,027,291,205,774,669,813,620,701,352,
642,285,622,851,692,024,495,275,883,563,346,625,063,528,632,269,548,159,423,
609,224,088,950,148,134,498,136,006,790,386,017,962,514,720,287,467,963,617,
168,933,815,235,621,267,608,588,728,096,413,191,563,316,264,674,649,345,067,
138,899,753,986,908,377,084,977,011,600,867,209,171,977,328,672,320,768,282,
544,622,321,129,134,253,739,637,368,799,608,079,190,370,427,055,798,191,747,
240,697,042,473,291,706,274,939,877,260,960,980,389,853,787,022,030,727,911,
288,455,404,681,897,625,786,696,167,996,258,811,428,123,794,303,406,577,036,
334,567,912,015,755,690,779,642,018,121,980,201,313,625,035,900,837,998,069,
324,017,826,741,300,955,479,701,211,585,914,873,124,791,165,153,456,692,269,
303,353,457,755,302,748,546,381,312,705,345,036,718,868,109,908,626,095,399,
885,031,957,777,361,201,327,338,805,727,709,600,297,169,148,524,712,066,480,
923,128,039,417,920,486,084,336,674,226,405,777,634,693,566,633,604,260,817,
551,733,369,529,543,659,812,483,564,286,353,994,726,847,857,382,247,891,369,
605,651,216,840,436,834,257,415,870,135,856,662,702,416,419,417,395,728,359,
298,628,393,423,527,167,380,409,218,244,456,463,508,691,417,994,055,983,075,
143,456,394,369,673,474,670,098,367,755,844,758,116,762,235,127,277,361,600,
876,535,736,122,797,096,306,026,867,601,521,526,181,039,378,940,868,720,167,
597,573,161,719,782,121,574,949,725,820,222,659,934,267,371,099,534,785,619,
587,606,062,481,797,352,885,029,660,880,069,364,419,269,660,373,100,941,403,
900,786,146,123,524,032,279,333,892,503,301,874,931,152,425,480,444,761,237,
660,982,320,822,003,244,900,030,535,346,483,943,722,573,141,464,782,487,944,
756,748,565,732,202,662,940,813,197,764,211,791,618,964,933,758,581,174,547,
007,378,119,031,751,885,774,508,743,706,095,352,127,114,927,441,333,917,129,
766,232,088,369,421,196,717,066,802,045,694,500,592,572,154,427,256,390,592,
563,067,491,404,474,863,631,097,465,201,283,739,591,501,690,782,094,924,163,
105,640,788,442,843,749,432,666,191,877,557,620,605,580,220,196,820,809,558,
645,120,088,367,400,296,091,768,344,702,068,734,275,394,222,350,174,056,580,
237,746,227,591,399,193,114,690,869,098,572,123,577,267,972,329,280,390,510,
817,726,810,207,416,818,040,945,898,164,321,553,707,047,544,199,255,724,090,
718,673,413,512,801,978,049,314,397,828,294,240,667,572,950,158,738,921,844,
443,695,562,143,420,513,738,441,278,919,397,414,706,907,035,020,695,067,663,
507,909,193,923,733,886,346,740,102,528,524,836,668,475,557,814,867,317,342,
222,035,623,006,779,276,727,572,003,746,079,957,610,644,101,310,932,070,331,
683,095,591,457,719,517,910,784,330,719,761,643,061,784,902,388,180,135,865,
639,742,317,073,933,882,596,796,580,594,187,217,441,655,157,644,977,923,363,
509,155,152,418,825,478,403,530,006,622,037,936,604,857,950,569,162,610,023,
614,470,686,542,407,072,104,436,315,238,243,376,623,046,608,678,926,333,959,
746,097,481,784,968,981,654,121,248,747,838,013,053,924,451,196,052,895,181,
632,742,134,142,304,776,139,999,080,064,170,388,629,757,031,291,248,636,556,
552,585,114,495,615,307,746,872,490,102,126,327,502,897,125,711,913,734,205,
028,904,567,004,116,090,638,011,311,785,230,109,940,461,473,797,743,224,653,
678,071,725,133,956,056,653,102,880,407,983,493,864,560,896,198,787,577,575,
350,471,503,759,367,517,355,984,684,173,826,818,326,236,018,030,781,464,837,
355,234,655,392,039,319,763,227,965,198,414,018,111,425,895,985,620,946,249,
582,613,491,343,646,813,278,117,810,203,653,103,987,222,728,076,932,895,887,
849,652,052,909,011,060,992,736,909,879,152,951,869,435,447,188,776,921,647,
399,918,550,297,503,635,939,263,534,782,232,085,879,198,343,100,326,797,390,
272,957,165,919,220,356,350,756,077,240,894,300,114,538,356,719,532,158,124,
791,619,795,129,036,802,556,935,423,576,955,552,353,316,137,414,054,292,866,
395,452,065,048,390,263,915,255,796,315,718,470,645,532,355,042,774,618,917,
886,683,259,590,249,833,521,234,283,532,179,792,843,148,799,861,072,478,097,
850,816,183,352,932,447,144,015,809,467,354,373,713,891,908,686,309,184,421,
384,860,762,119,594,344,761,642,382,703,336,780,689,357,837,160,006,601,829,
715,742,371,669,164,707,151,815,874,429,709,296,600,721,694,349,903,416,240,
022,540,617,949,888,415,423,227,295,463,158,259,446,952,639,790,937,006,579,
601,988,125,086,289,680,218,467,666,602,002,592,456,350,868,081,715,985,498,
881,257,455,069,982,190,056,350,846,253,508,145,262,393,866,395,818,311,087,
686,501,104,268,151,185,699,018,899,081,712,219,250,314,366,167,741,191,568,
398,725,179,686,171,561,481,920,208,760,043,834,334,966,288,405,429,358,613,
770,619,853,577,145,126,257,462,607,749,876,782,385,582,876,782,363,808,666,
101,047,367,292,344,988,074,551,139,010,318,101,308,678,636,927,300,160,255,
186,311,483,051,936,230,956,117,332,729,458,583,341,066,402,777,149,887,845,
797,074,883,425,083,513,805,858,832,781,724,089,404,100,493,512,490,755,849,
476,765,567,783,855,813,088,711,551,035,794,210,151,209,866,307,646,310,102,
652,307,759,832,718,495,819,638,438,729,048,240,875,205,440,989,628,549,060,
302,971,243,411,923,949,698,292,848,457,283,723,623,909,581,950,761,261,250,
838,567,455,295,625,130,063,653,714,746,637,102,641,316,423,210,974,838,781,
467,658,497,534,785,835,047,773,770,003,277,329,167,378,132,132,298,530,021,
262,048,965,796,362,254,956,892,945,118,825,235,435,751,512,364,894,334,611,
779,132,021,775,287,762,374,052,316,310,472,990,415,188,731,817,759,365,766,
186,473,322,834,489,213,333,165,159,293,533,497,977,758,695,269,253,569,758,
178,280,619,788,134,157,447,359,619,224,187,280,254,344,589,761,166,632,643,
530,986,015,369,093,966,345,159,249,485,051,996,571,763,533,640,709,922,429,
546,813,927,198,518,607,773,268,729,045,488,524,957,750,115,170,229,470,505,
513,613,287,173,770,854,405,564,690,147,866,806,049,868,056,646,198,489,567,
703,802,918,087,958,222,646,632,141,986,843,087,655,701,826,578,001,346,923,
052,418,797,604,000,444,851,776,307,979,105,795,574,603,748,813,251,091,054,
720,482,611,517,500,403,917,778,221,284,281,773,960,949,063,811,862,841,823,
814,289,947,989,426,409,561,855,583,544,897,967,563,094,255,330,476,618,002,
231,073,272,803,670,217,299,768,588,955,284,955,667,585,511,623,083,402,736,
300,771,401,715,402,666,020,325,060,423,443,787,593,717,966,666,830,450,948,
120,975,098,422,498,049,900,393,767,798,487,948,003,006,335,351,869,473,197,
966,885,999,872,821,075,626,896,092,255,701,999,335,560,783,724,535,267,995,
982,396,143,277,505,410,174,089,184,507,642,872,241,676,155,115,876,399,813,
509,093,913,941,267,474,237,729,996,329,286,442,682,074,706,915,359,437,147,
428,364,784,468,108,141,787,306,155,873,665,563,482,514,702,432,611,866,819,
044,220,495,353,097,816,321,745,728,870,049,466,561,589,697,292,629,238,958,
945,731,795,253,495,746,709,336,341,623,967,365,881,532,146,280,855,759,691,
585,379,425,127,237,730,533,760,210,299,549,946,429,547,045,490,495,954,153,
278,344,777,762,476,359,377,880,759,090,398,709,654,686,722,610,750,753,394,
457,274,256,525,040,693,659,324,985,959,909,832,299,461,186,569,152,075,376,
141,526,248,179,815,465,051,233,121,666,350,053,162,190,613,362,854,465,526,
277,269,335,867,973,820,228,406,233,745,624,205,782,077,209,622,585,170,152,
072,684,525,435,079,240,868,911,602,424,066,358,360,454,871,450,689,156,398,
107,124,129,188,675,142,976,140,180,161,389,091,513,036,443,579,367,047,357,
843,620,007,280,479,961,357,500,695,064,211,423,025,762,597,321,531,490,572,
097,128,544,502,256,085,710,631,110,937,561,065,486,624,577,891,917,862,402,
232,278,071,988,602,536,104,275,954,563,353,800,604,465,392,335,551,825,514,
170,416,262,956,074,795,338,119,197,489,268,323,752,941,634,029,717,879,818,
293,989,969,358,907,118,239,295,158,959,535,867,883,388,028,213,564,736,845,
398,994,171,210,808,172,356,502,184,130,305,193,532,187,110,277,383,263,936,
789,722,329,445,289,656,513,344,141,943,327,191,739,583,562,311,758,984,582,
630,623,811,878,008,140,778,066,274,619,872,756,003,892,556,877,208,228,142,
326,581,386,600,175,571,136,689,478,223,839,157,453,569,144,353,589,194,272,
775,451,791,923,133,406,339,419,634,490,892,982,281,710,631,879,766,871,992,
663,023,850,981,033,448,002,724,082,232,212,219,153,966,026,891,312,633,336,
440,459,265,477,898,573,872,687,283,894,033,823,617,178,078,322,571,528,824,
394,766,886,297,211,329,119,017,583,666,931,041,810,745,576,437,304,884,071,
677,923,729,976,547,814,619,099,601,150,676,861,942,833,769,412,188,562,602,
059,754,966,324,415,477,581,886,873,662,272,165,422,772,751,326,372,131,864,
977,818,141,765,043,354,678,189,095,639,485,130,143,545,230,430,476,201,873,
832,643,055,343,966,572,934,648,524,333,311,816,717,816,376,570,562,262,203,
143,710,353,511,861,013,212,245,669,661,223,498,241,047,776,622,717,105,644,
028,201,589,408,531,727,762,056,984,965,187,411,612,366,017,827,122,700,210,
834,067,979,328,517,516,378,785,136,641,238,806,158,932,827,724,066,858,517,
417,336,797,864,106,788,776,082,813,858,982,986,366,157,391,434,762,267,196,
160,234,203,874,018,855,515,127,018,465,979,632,290,656,074,708,534,387,990,
427,388,202,588,817,369,246,394,413,999,607,823,869,945,349,195,935,591,447,
256,689,537,615,742,346,420,849,063,144,346,964,738,162,750,758,582,886,225,
021,979,689,489,635,141,753,840,363,823,172,001,456,709,841,043,982,605,950,
133,267,853,778,230,154,847,769,476,595,643,171,008,510,111,567,800,477,999,
373,485,436,350,689,182,510,582,927,104,456,286,955,651,678,321,356,408,240,
922,098,706,127,656,525,326,346,609,565,558,131,518,807,197,547,075,217,643,
489,956,543,677,936,243,343,655,634,718,732,513,444,688,048,605,724,110,277,
883,155,090,698,251,204,829,332,439,038,211,158,939,599,559,836,895,272,460,
315,404,255,581,345,862,123,772,506,418,183,503,745,924,774,725,557,728,503,
638,260,302,337,724,041,719,470,259,963,625,187,372,686,720,074,508,558,343,
803,514,367,692,557,991,346,910,085,915,500,133,542,150,135,863,676,696,568,
715,478,002,834,368,808,214,981,331,745,288,361,159,842,883,178,651,781,446,
108,344,092,444,436,020,497,318,719,144,144,611,035,521,006,292,381,672,095,
637,305,701,559,156,396,895,655,662,833,683,892,347,448,537,085,923,962,334,
379,051,731,652,281,739,177,843,977,266,865,085,887,234,563,268,451,222,071,
930,221,155,877,718,785,318,113,013,286,343,333,619,024,771,214,306,389,950,
766,965,708,127,572,407,164,343,718,422,632,678,173,080,141,449,456,001,937,
126,627,189,759,786,450,982,465,311,082,612,280,909,056,999,246,705,887,943,
072,569,494,610,248,629,200,038,530,075,942,859,421,730,483,463,800,525,283,
218,564,024,125,672,445,082,812,867,992,175,877,405,413,388,311,045,187,646,
863,546,462,476,562,026,189,995,034,392,064,966,826,480,701,707,334,700,562,
608,088,229,368,203,240,039,110,375,273,324,222,276,952,578,002,396,226,463,
305,568,933,798,199,092,534,847,858,513,713,234,298,948,472,216,771,315,292,
653,642,955,339,459,450,059,359,962,941,256,564,362,254,417,426,562,358,147,
525,086,155,262,771,930,436,442,666,630,972,722,414,875,086,193,935,289,608,
666,421,836,047,515,196,788,947,531,620,692,780,143,741,184,704,640,606,110,
802,230,195,437,423,853,337,522,858,998,350,541,463,043,398,111,417,099,024,
251,415,314,955,746,447,581,640,344,291,142,653,886,324,189,028,041,653,884,
835,812,083,061,757,711,175,304,788,237,733,043,956,105,867,533,379,637,897,
167,337,658,500,113,328,647,324,096,191,567,284,185,321,677,335,302,762,127,
146,691,958,947,884,070,466,538,084,702,382,239,748,746,678,253,958,653,747,
876,715,707,565,313,409,798,381,318,352,997,873,787,337,247,968,573,703,565,
927,483,422,378,645,910,836,826,195,721,684,351,002,977,675,972,373,957,237,
535,976,550,881,844,418,579,344,392,204,155,840,938,510,928,744,973,003,090,
525,491,451,873,329,996,548,733,894,801,859,932,041,621,647,131,692,106,473,
683,941,675,591,428,206,772,981,484,539,891,454,362,001,441,917,920,051,193,
868,212,515,853,019,731,454,794,878,203,589,953,834,402,387,571,858,993,599,
712,721,148,711,996,531,903,557,292,880,556,202,129,817,478,552,977,685,860,
160,697,286,995,383,609,427,912,483,236,887,035,908,511,920,357,341,422,137,
521,788,914,678,174,316,898,739,671,554,367,407,071,340,318,114,829,038,348,
987,090,176,964,456,615,202,788,832,246,415,467,879,863,825,779,139,446,571,
637,081,800,666,187,533,844,517,342,071,904,841,538,405,180,433,634,883,987,
177,796,605,921,701,125,080,701,597,908,219,315,630,611,946,689,267,177,343,
006,676,352,329,797,791,246,742,949,739,648,352,812,605,072,680,812,745,213,
515,539,099,032,891,320,022,360,963,256,077,174,367,228,277,534,955,739,621,
577,784,169,735,301,782,197,228,405,763,959,327,823,795,208,787,367,885,710,
635,257,193,468,547,091,873,826,037,592,583,670,791,046,803,701,942,428,103,
216,887,272,792,801,344,018,168,703,585,186,109,234,828,925,006,266,806,300,
838,140,909,503,997,563,282,960,468,053,711,023,003,983,681,759,433,467,972,
963,407,794,106,155,668,538,861,432,957,523,980,437,879,516,537,198,390,452,
118,754,015,134,450,643,379,896,522,992,848,386,189,682,584,890,017,746,479,
822,625,590,733,582,508,019,515,627,079,387,294,932,981,834,783,581,009,753,
773,778,417,163,982,447,884,931,196,110,994,293,287,907,136,769,912,394,999,
932,794,592,521,932,646,294,001,381,275,119,584,064,995,279,820,158,852,303,
885,788,447,499,408,277,291,247,649,859,251,872,902,274,256,912,588,226,667,
761,450,315,133,479,916,172,340,473,346,455,802,886,052,440,635,587,468,377,
895,393,619,438,298,267,415,964,714,261,542,519,027,552,836,475,745,395,125,
706,800,410,894,808,648,269,165,145,884,387,797,258,000,663,211,584,174,475,
062,824,874,284,080,423,997,042,449,890,825,671,122,022,917,023,170,372,892,
748,416,467,052,701,037,259,486,035,347,291,805,543,071,337,935,166,140,824,
507,708,792,559,343,318,003,821,830,463,574,494,765,627,377,000,156,059,812,
925,310,521,169,546,361,954,863,645,994,455,682,194,097,124,782,624,183,267,
842,606,326,712,694,062,785,080,662,468,898,726,776,507,666,882,224,392,264,
090,285,154,854,401,861,838,180,103,480,889,917,173,977,157,199,460,613,718,
142,516,681,657,773,864,301,799,841,402,739,986,982,273,491,052,921,299,056,
444,595,298,433,162,279,568,813,001,490,082,148,333,851,848,598,760,308,718,
009,528,656,461,711,489,236,882,373,712,317,793,620,087,767,865,749,901,569,
502,906,583,087,680,258,793,808,276,672,338,482,972,991,250,112,246,121,287,
764,418,477,509,052,822,619,433,129,661,907,326,802,626,386,521,923,183,138,
832,991,643,166,756,159,456,612,662,179,563,928,395,214,017,424,295,994,067,
841,856,471,807,602,421,479,611,845,934,913,086,819,884,042,423,517,078,226,
670,235,058,885,354,615,303,878,884,556,803,079,980,952,002,409,052,521,614,
226,848,483,666,423,579,053,002,592,172,171,382,258,544,081,773,666,191,151,
653,801,195,372,605,828,449,853,366,247,807,730,957,267,863,096,547,500,708,
296,429,463,766,376,907,805,431,968,449,771,769,523,157,113,683,385,611,517,
674,743,318,933,139,387,919,540,712,741,108,174,249,716,279,676,961,603,122,
034,787,117,810,354,549,222,758,378,340,451,325,921,553,100,549,900,464,609,
902,760,569,198,841,046,823,454,345,583,785,912,096,003,247,676,328,795,063,
130,524,326,364,003,232,339,156,918,502,533,509,448,100,196,942,484,724,097,
309,294,428,842,281,417,464,738,259,766,739,584,434,371,429,812,651,148,271,
994,182,802,401,616,925,555,429,842,275,378,260,791,155,186,165,448,613,038,
834,570,204,069,750,301,484,806,453,680,925,077,321,910,415,103,930,736,432,
037,367,905,006,328,560,087,154,181,928,756,565,025,257,397,386,639,770,994,
509,779,253,527,343,553,538,586,705,878,875,817,679,090,379,167,188,655,880,
915,600,034,401,218,626,784,673,224,548,353,098,457,152,953,426,815,983,099,
001,842,523,339,539,283,237,470,136,101,810,797,874,679,158,369,317,803,656,
221,943,989,902,734,001,102,369,740,058,905,158,984,618,264,307,984,506,232,
040,560,235,677,769,595,282,381,029,329,389,029,312,485,724,760,737,786,148,
033,089,256,264,074,351,236,370,386,709,017,413,585,894,951,144,216,231,905,
795,782,096,974,580,564,664,174,228,471,956,543,821,862,725,538,625,191,288,
107,863,080,124,250,135,259,223,153,791,250,664,465,995,750,458,534,017,966,
041,977,317,680,538,517,886,334,792,373,413,251,338,550,039,993,648,158,478,
890,275,360,402,979,137,010,234,302,516,023,320,868,407,740,468,420,630,210,
529,636,880,563,875,946,366,422,823,935,475,194,020,096,211,786,738,130,212,
478,136,115,590,779,683,780,968,345,529,125,510,745,942,190,997,998,804,564,
983,424,744,207,358,525,951,479,217,816,506,192,378,997,438,653,270,694,621,
350,181,801,193,309,324,391,148,227,286,629,132,234,695,750,224,033,116,667,
044,911,241,111,075,382,333,943,449,228,580,885,553,631,840,506,420,022,198,
690,126,739,837,945,676,071,313,603,413,723,904,445,012,577,077,516,819,024,
957,036,150,385,560,746,918,685,283,001,949,807,003,118,031,927,756,773,839,
241,619,719,320,670,447,330,132,564,504,261,373,451,033,344,770,205,116,751,
674,910,461,568,161,444,971,732,156,490,061,516,610,276,978,264,811,449,636,
212,336,506,083,588,534,957,538,029,061,500,646,059,028,972,152,514,281,630,
429,708,705,218,920,702,767,657,232,401,634,418,864,273,305,535,400,606,272,
804,548,100,733,808,510,227,428,254,407,421,837,765,444,671,506,509,774,762,
626,515,933,341,881,092,562,364,887,840,203,803,767,761,797,135,396,124,950,
691,775,583,658,638,786,181,035,661,052,887,203,731,263,913,036,019,006,030,
200,401,373,501,809,270,360,698,542,859,175,508,640,881,571,713,613,898,916,
025,599,138,898,534,754,889,262,897,940,820,565,043,309,678,034,389,492,708,
412,637,780,112,504,586,066,664,294,765,118,856,468,086,049,163,287,743,136,
942,908,943,953,617,087,534,764,455,322,561,562,587,901,800,342,405,412,686,
606,162,030,613,429,621,543,552,440,990,618,238,359,049,144,923,058,253,092,
560,031,309,570,157,500,915,754,265,854,603,467,166,956,275,278,530,272,353,
880,865,300,843,175,583,570,541,553,835,472,080,363,284,507,916,572,980,757,
172,121,950,653,520,397,389,423,373,630,988,836,327,623,206,536,613,798,537,
339,881,753,514,411,856,194,459,959,389,651,892,142,155,858,460,717,605,979,
750,208,775,451,060,754,860,977,229,446,643,122,688,060,580,335,842,902,967,
423,875,227,376,266,474,964,777,962,442,365,808,808,774,645,639,434,049,929,
041,055,653,460,026,543,284,779,398,599,021,127,558,279,336,852,501,340,961,
451,586,131,841,741,887,698,585,621,523,510,788,340,322,524,247,264,725,330,
587,917,599,251,980,030,728,971,877,598,581,086,945,167,033,011,207,568,240,
912,863,618,163,855,053,223,896,882,004,795,854,044,806,817,023,623,293,046,
843,926,849,268,049,205,090,550,304,549,846,123,134,685,616,536,294,196,926,
103,027,741,187,950,177,138,677,916,883,832,282,450,040,460,561,302,576,436,
072,375,166,486,487,257,358,381,339,025,369,004,269,702,200,825,059,812,834,
890,205,957,422,475,601,003,992,267,422,995,008,780,715,883,831,321,786,071,
818,351,111,375,394,524,780,216,082,707,855,481,448,235,348,565,860,688,915,
660,589,042,703,241,342,039,543,364,421,267,389,662,609,213,585,593,057,387,
512,013,823,269,578,965,252,198,697,461,448,557,094,114,663,549,077,965,748,
614,688,898,774,141,821,834,045,337,717,919,835,668,613,323,246,052,707,899,
290,241,005,467,953,523,707,186,757,653,035,239,734,715,080,910,419,915,229,
661,098,805,930,701,696,722,937,422,195,073,188,465,141,341,824,320,917,897,
595,613,631,302,915,439,525,709,680,509,877,369,954,126,240,508,752,658,821,
439,124,968,167,286,693,040,512,978,029,453,328,641,307,468,129,509,547,865,
878,218,866,211,053,862,749,188,171,676,322,598,102,235,943,134,896,920,430,
151,993,997,782,203,800,462,795,830,534,861,327,945,475,479,725,958,724,070,
559,297,144,348,044,864,392,983,491,001,834,851,675,512,952,555,743,300,910,
509,925,077,508,811,250,967,933,673,268,219,276,437,356,242,627,797,395,408,
195,499,045,691,120,150,193,347,913,551,436,879,755,537,059,371,380,623,709,
415,914,490,335,375,225,249,314,320,127,617,504,582,921,772,243,447,535,867,
799,172,169,969,333,535,286,484,050,353,504,030,165,452,021,534,141,086,682,
570,719,315,262,811,807,157,290,088,007,118,554,504,284,063,123,842,806,295,
669,890,377,320,504,809,360,537,272,049,545,036,809,244,166,543,437,472,458,
532,598,780,001,721,643,503,053,214,577,373,974,590,108,755,354,749,133,653,
752,494,212,633,630,173,626,792,930,093,666,588,498,412,830,707,771,525,787,
644,829,105,092,890,574,425,309,391,753,572,227,056,237,511,048,415,549,191,
443,418,504,165,413,357,566,172,976,966,358,367,867,623,107,517,526,694,357,
222,599,693,213,953,539,185,006,132,621,844,859,236,041,507,264,769,306,487,
430,412,797,008,153,089,612,869,809,707,912,114,636,498,319,897,095,990,797,
974,091,570,090,531,900,029,374,927,933,888,864,819,434,243,748,887,064,824,
068,027,435,618,089,456,977,575,983,183,466,119,805,688,613,769,599,574,778,
546,931,646,880,232,748,914,722,200,188,172,480,233,762,167,210,658,288,394,
197,034,852,651,821,010,213,734,922,242,330,415,634,777,134,086,007,080,769,
411,514,397,789,211,422,916,960,543,624,441,290,529,712,466,286,109,020,731,
885,080,841,370,349,087,730,048,815,000,805,185,924,925,056,659,648,190,596,
472,883,875,016,105,361,234,951,446,978,498,289,262,657,003,629,028,099,173,
928,006,023,453,479,086,377,779,869,059,370,209,893,294,526,469,878,457,335,
986,300,234,828,344,264,079,600,874,013,401,993,945,060,915,145,287,750,231,
006,100,727,931,389,651,855,839,946,201,519,105,933,326,260,466,766,432,046,
059,601,519,105,795,598,617,356,198,609,095,725,280,901,867,587,694,626,686,
936,828,451,967,898,332,534,413,031,935,665,307,429,152,250,920,508,941,479,
650,097,331,527,671,695,633,848,135,141,897,510,415,764,518,724,531,857,502,
824,973,533,488,237,090,815,883,797,695,609,696,744,881,442,022,650,931,340,
069,728,492,214,294,920,929,066,047,817,417,340,574,844,973,151,974,962,628,
195,517,231,535,520,164,747,736,441,920,549,060,689,152,045,035,298,335,514,
887,090,182,414,408,214,882,923,631,803,185,757,064,761,096,384,074,264,482,
612,315,535,364,496,935,079,375,397,127,912,843,408,833,650,991,944,817,737,
626,730,244,062,358,623,273,882,095,138,584,962,649,974,551,271,854,748,413,
255,871,336,426,893,219,182,724,780,757,767,464,680,334,809,940,099,846,914,
354,382,295,502,047,534,605,530,954,834,249,366,987,247,808,390,649,564,536,
028,455,940,057,724,678,285,571,528,977,329,944,570,080,464,154,506,286,662,
616,236,289,756,164,748,333,244,158,140,401,811,298,442,166,224,475,255,773,
285,134,893,613,803,617,602,516,564,669,002,425,431,668,384,310,011,140,937,
381,461,232,370,117,035,931,693,771,874,716,856,097,584,745,199,009,857,271,
138,803,775,195,498,583,888,967,693,863,805,452,564,954,884,870,816,732,528,
192,043,044,387,593,351,270,073,863,466,091,577,667,095,424,945,462,522,265,
316,368,301,496,322,098,241,855,926,807,477,789,610,442,534,728,591,113,151,
906,940,720,302,382,319,201,772,220,413,461,240,151,475,718,299,226,602,940,
356,082,780,164,720,474,963,112,162,154,547,461,357,406,953,122,017,285,152,
237,393,166,072,557,244,642,129,619,068,831,850,176,650,912,126,414,867,729,
470,785,339,720,928,972,236,392,359,638,942,724,671,633,991,298,442,867,421,
216,710,750,694,054,097,381,931,694,639,994,138,682,961,438,033,977,275,628,
050,626,266,103,946,808,252,485,542,692,582,649,614,483,370,428,470,564,927,
110,436,202,119,721,728,321,926,957,658,018,588,823,059,188,909,010,851,244,
651,729,565,893,169,215,979,519,437,755,634,091,554,271,876,023,481,930,553,
362,070,540,466,026,269,470,572,535,540,005,852,026,890,711,948,255,089,633,
302,816,849,719,878,569,239,796,692,776,149,874,012,478,809,327,014,438,641,
320,969,003,894,868,419,939,214,261,162,058,533,711,397,352,058,545,927,121,
963,806,530,556,736,863,092,451,012,136,588,026,629,222,858,666,996,750,315,
468,935,599,580,265,644,850,198,098,763,554,022,811,053,471,062,171,057,352,
113,574,831,260,352,454,690,530,659,117,408,585,193,946,183,138,900,714,901,
401,015,849,900,025,472,096,973,968,852,008,311,138,747,617,640,983,667,871,
205,104,901,128,653,050,138,535,340,767,838,325,824,671,558,459,256,983,406,
716,393,290,794,936,710,554,399,456,255,101,712,101,345,028,630,886,970,597,
885,233,943,767,413,846,610,769,478,702,292,316,585,734,318,450,383,923,352,
433,530,065,799,067,545,990,255,011,998,456,218,235,746,142,268,807,753,947,
189,562,420,006,845,182,328,055,768,171,490,017,774,321,907,450,097,706,711,
293,257,896,066,568,633,113,326,544,502,348,182,522,379,939,250,353,159,797,
430,318,023,071,142,160,433,549,549,138,924,080,447,990,103,525,441,826,736,
105,797,665,328,577,367,069,443,609,873,766,783,379,486,903,567,895,998,867,
177,087,005,469,255,578,025,360,361,002,156,077,824,729,575,302,375,205,235,
483,459,147,097,863,364,294,584,009,564,821,904,607,850,491,473,088,110,541,
694,765,487,679,936,827,886,878,250,326,624,904,369,916,407,967,224,513,719,
284,538,923,606,603,656,256,369,004,130,292,773,560,709,584,129,885,757,099,
578,939,198,313,670,242,845,385,863,252,906,829,786,380,988,834,492,461,608,
535,525,031,800,599,914,024,261,755,559,937,203,373,873,275,531,741,583,360,
845,298,363,930,172,108,988,588,105,407,089,762,717,078,813,577,304,265,678,
372,082,651,622,810,157,237,551,302,439,970,690,447,629,752,430,382,852,432,
157,235,969,142,042,291,962,930,294,447,523,904,084,313,066,348,936,098,363,
635,333,772,411,099,235,607,598,876,535,432,051,912,227,278,421,013,421,068,
524,368,989,043,118,467,021,974,120,513,700,457,237,210,389,238,026,355,129,
160,728,099,376,559,470,990,661,587,270,703,737,823,867,013,251,283,271,320,
851,545,017,961,764,246,047,259,503,061,557,154,474,205,306,066,172,751,758,
165,388,840,127,652,249,784,866,628,174,516,537,221,733,676,321,393,193,871,
242,442,920,513,326,235,896,267,904,615,296,904,723,860,638,224,329,075,457,
409,782,188,188,126,310,008,190,775,984,344,688,020,760,350,757,608,031,936,
036,475,981,181,905,952,299,680,840,773,943,928,721,465,526,997,566,675,086,
544,914,923,895,185,018,795,694,169,953,310,744,308,409,682,018,274,477,772,
724,633,174,778,764,390,225,532,659,310,479,270,227,787,346,423,292,847,407,
990,376,096,560,812,179,646,599,965,457,288,733,457,193,623,446,725,116,396,
442,771,444,812,535,654,696,966,145,295,016,120,335,114,887,161,980,002,874,
773,014,381,566,217,623,030,736,876,335,518,839,882,430,857,522,418,734,198,
731,479,159,262,088,438,844,287,077,344,215,561,524,348,814,580,664,175,831,
822,635,192,295,329,204,619,469,598,155,859,754,300,065,960,860,007,503,178,
144,032,211,424,656,000,492,556,668,625,642,419,218,823,374,953,977,506,379,
320,680,031,130,076,054,359,382,677,735,562,058,724,994,448,951,369,491,048,
162,648,795,462,591,630,715,014,554,386,988,659,502,169,109,247,130,031,322,
432,419,334,919,726,967,749,444,207,770,371,321,629,247,256,963,712,000,107,
236,744,706,142,130,901,148,383,658,593,055,715,375,400,820,853,694,728,653,
568,211,218,913,985,095,548,091,892,554,886,843,702,030,743,123,322,821,171,
428,735,075,051,937,989,754,237,996,326,633,476,311,155,899,917,255,727,986,
792,662,118,631,165,811,846,033,651,354,427,345,691,449,031,612,606,243,664,
390,431,109,495,564,006,473,315,990,299,345,077,677,628,651,905,427,877,259,
678,535,052,053,541,984,382,938,999,824,320,969,577,441,651,710,368,437,450,
905,225,656,943,052,992,056,642,313,233,240,085,529,233,416,099,337,530,765,
233,003,407,247,868,261,464,044,595,433,327,587,559,044,998,063,759,383,491,
921,457,959,911,744,474,531,288,802,434,443,271,643,441,142,578,900,285,908,
593,344,284,445,028,166,856,585,014,120,877,864,265,908,181,518,175,131,568,
885,759,083,800,826,505,073,924,924,068,309,069,876,879,895,341,363,033,471,
692,792,921,231,912,710,915,132,832,414,794,475,312,388,527,066,410,072,695,
903,473,371,611,826,832,442,272,591,432,581,809,907,896,993,584,389,152,309,
732,155,553,126,367,491,664,377,750,785,296,688,452,626,297,314,015,836,207,
122,468,491,072,925,659,701,135,891,654,487,371,625,305,854,303,316,404,899,
277,472,722,869,894,893,247,413,874,496,374,087,181,594,661,510,497,861,534,
779,966,747,575,659,445,834,302,533,633,635,587,222,504,276,882,519,289,369,
891,241,871,198,583,436,536,549,792,354,575,053,830,196,804,507,001,869,277,
836,814,917,236,106,059,359,815,046,245,286,332,453,336,817,860,193,757,111,
647,949,796,401,781,494,186,013,698,104,087,297,647,270,961,321,314,828,063,
002,099,558,902,739,494,776,970,167,449,573,518,099,086,253,104,913,815,214,
850,064,173,846,779,982,463,787,854,142,770,886,560,369,210,758,847,376,399,
174,976,389,496,836,349,142,757,086,921,254,970,896,971,169,044,580,090,546,
576,152,468,381,673,507,175,709,330,551,614,329,880,764,590,393,961,539,987,
821,467,369,090,526,519,181,710,974,457,080,626,546,711,877,765,754,192,250,
245,369,338,336,096,788,541,237,693,330,802,245,693,034,282,349,277,863,209,
854,272,993,277,793,553,367,952,436,356,439,388,208,520,065,058,935,120,685,
121,830,421,117,437,028,154,983,926,483,316,487,981,466,768,329,437,537,992,
059,354,000,578,257,764,902,852,098,152,878,972,849,585,889,168,355,227,537,
200,372,195,346,037,086,776,913,116,090,315,175,396,296,455,189,145,319,135,
452,609,841,112,583,515,473,483,436,102,458,281,359,323,888,850,961,245,254,
483,195,194,645,950,096,811,197,887,997,620,648,486,498,758,477,903,135,334,
671,989,218,030,333,108,176,172,762,221,173,370,059,907,129,037,284,194,717,
685,522,359,662,506,266,076,128,930,426,405,336,719,341,388,404,389,936,219,
593,339,407,216,503,429,009,609,716,011,168,251,271,543,382,581,413,954,735,
741,546,416,474,155,357,846,405,003,570,638,209,493,380,133,041,902,712,097,
849,155,764,048,542,879,079,779,868,993,652,339,045,564,734,712,147,886,511,
308,180,364,658,451,702,464,748,840,097,235,068,169,112,617,110,756,962,517,
367,931,639,375,755,390,409,755,488,374,839,589,931,890,617,223,181,734,944,
043,638,974,238,065,050,132,351,278,448,454,768,721,131,884,998,209,064,524,
441,359,067,668,105,878,355,422,338,710,705,997,224,025,083,162,565,277,038,
871,821,930,267,808,916,578,222,580,580,080,856,501,970,057,600,090,373,211,
277,934,197,530,496,758,704,590,025,738,393,097,286,656,159,655,251,425,208,
203,366,531,586,163,556,905,985,336,992,598,874,372,590,684,357,599,143,715,
488,229,540,254,777,977,465,914,769,119,651,123,909,730,207,497,650,811,735,
286,650,111,548,279,397,195,681,355,257,900,727,082,827,216,036,210,431,710,
194,865,095,229,641,392,292,445,401,835,859,272,357,344,236,763,840,217,051,
811,376,301,395,244,491,433,238,099,028,740,248,824,422,810,772,709,060,453,
073,962,472,643,935,591,276,653,789,031,733,438,411,970,561,885,601,622,680,
089,012,033,812,962,596,935,160,392,735,634,086,455,952,252,418,485,586,886,
515,652,436,971,722,403,738,740,007,495,239,685,164,789,935,556,676,022,636,
749,051,022,601,369,594,232,268,310,619,626,236,540,970,447,406,570,598,976,
496,287,733,845,139,856,311,134,137,347,592,552,114,783,246,692,351,311,358,
668,220,506,856,050,290,560,478,303,650,378,973,523,880,977,544,537,659,794,
719,007,823,952,740,900,186,825,609,208,915,198,444,913,481,425,515,819,349,
064,589,381,963,354,600,894,452,401,134,287,876,055,919,219,975,403,109,968,
912,788,538,436,799,384,470,385,056,774,787,681,711,498,422,029,509,220,060,
668,871,143,516,394,874,555,568,409,514,303,552,311,364,606,571,482,596,911,
342,801,393,198,332,625,969,097,149,200,166,061,083,501,679,413,260,013,123,
448,672,196,274,388,023,871,922,952,492,267,887,272,772,553,894,599,084,652,
735,946,363,265,176,784,241,376,523,092,744,321,969,147,911,507,033,905,884,
007,809,329,685,475,983,295,692,534,203,574,188,635,320,162,706,718,987,955,
087,738,098,808,739,277,043,522,654,357,223,453,539,433,864,579,036,489,543,
624,717,864,704,729,520,190,927,138,800,017,069,366,757,124,447,016,857,489,
625,335,455,598,959,894,354,338,365,323,623,544,984,998,435,136,735,695,327,
382,226,600,766,765,749,163,686,799,451,458,099,472,626,543,352,170,214,473,
492,213,053,816,306,879,030,559,121,777,689,496,918,811,534,617,709,009,706,
725,169,782,539,190,820,955,804,529,819,965,200,404,374,688,111,415,983,283,
198,850,490,642,336,449,066,169,676,534,570,466,050,778,668,591,958,322,908,
746,106,675,089,215,274,549,731,862,677,222,912,115,116,838,121,431,547,049,
066,734,711,601,168,944,338,379,075,436,943,062,693,190,175,130,250,338,086,
994,901,002,506,661,960,928,267,408,656,135,724,609,562,051,800,910,265,272,
056,826,670,489,117,870,013,984,553,642,051,985,637,263,755,341,168,074,066,
609,624,975,659,464,136,706,040,814,886,763,806,173,468,547,506,577,743,713,
782,835,581,834,093,197,252,973,884,488,614,307,782,026,305,936,392,356,696,
525,429,045,347,132,549,866,216,415,911,459,207,820,030,345,317,047,677,578,
952,607,508,676,966,940,614,168,476,048,854,321,587,025,627,829,035,168,298,
193,147,411,657,013,170,629,474,777,435,256,448,297,831,159,588,887,497,595,
640,629,609,826,704,413,091,464,669,226,508,528,597,576,361,992,749,193,495,
902,890,249,363,898,590,825,198,306,911,239,686,882,468,177,937,461,649,883,
908,341,544,536,382,948,679,792,802,154,094,855,323,560,968,412,290,301,204,
708,295,586,183,405,115,253,695,976,237,246,882,311,897,323,998,846,204,593,
585,596,238,118,915,563,199,155,119,091,653,703,550,686,549,372,103,366,697,
426,972,037,873,556,563,010,707,519,801,164,436,462,499,095,875,822,053,456,
443,489,165,957,567,845,270,763,085,785,030,295,592,916,238,286,525,590,472,
809,171,645,666,699,380,465,079,140,683,177,681,053,911,829,565,197,232,328,
457,335,755,214,761,970,964,470,951,652,695,038,873,972,236,803,081,609,870,
043,705,533,357,250,189,970,283,606,502,872,420,597,601,917,273,002,104,437,
426,600,651,598,017,543,856,626,622,832,061,725,478,682,549,211,211,375,280,
715,971,316,678,379,097,322,070,366,593,674,012,946,117,878,791,363,713,989,
948,780,873,466,073,841,529,667,801,096,122,337,936,033,569,040,662,850,309,
076,908,638,412,684,149,385,253,822,304,987,690,746,878,019,485,040,755,286,
836,861,560,095,186,735,388,210,108,174,494,476,096,222,115,997,727,934,765,
636,459,072,574,205,549,604,821,207,255,557,956,969,078,162,611,097,862,852,
298,083,434,630,908,561,478,609,133,402,604,771,812,935,339,873,338,661,837,
062,211,913,797,745,638,503,286,620,313,817,639,377,667,509,731,831,398,659,
951,889,530,506,777,953,938,344,170,755,214,241,075,681,838,020,832,396,035,
882,679,534,255,712,590,590,184,664,107,064,255,877,648,044,214,486,648,029,
021,733,340,110,468,791,606,644,742,102,630,958,293,543,708,226,489,082,418,
643,104,565,946,996,038,352,863,229,276,611,584,999,776,580,754,381,955,046,
186,789,535,269,578,553,370,980,292,293,456,736,861,231,517,847,538,212,971,
078,554,026,959,974,058,140,349,769,640,137,416,111,477,102,573,261,982,688,
534,973,965,174,887,187,559,376,904,712,611,698,069,111,216,665,147,965,327,
472,411,303,250,374,708,759,222,188,153,652,229,927,853,778,970,165,008,356,
460,711,186,481,328,903,989,365,878,405,370,506,926,115,098,275,118,077,746,
399,947,762,756,260,441,853,864,868,372,010,551,916,149,871,859,066,147,842,
923,656,786,114,513,981,127,650,419,998,987,025,384,941,801,223,385,537,961,
797,545,720,671,726,608,653,605,825,313,370,504,664,587,184,960,672,157,050,
371,141,023,644,674,103,035,402,439,703,570,516,411,824,041,735,333,870,763,
976,406,881,646,616,851,071,368,980,179,875,964,407,710,830,269,062,132,921,
837,428,611,075,726,994,934,496,848,519,732,235,510,795,259,283,281,955,168,
808,369,699,169,537,695,426,569,798,833,960,295,438,022,370,114,388,216,894,
788,893,188,268,445,536,553,195,135,755,585,566,500,758,272,539,286,106,378,
069,704,256,339,771,471,218,027,762,753,760,626,622,460,839,553,280,656,042,
193,585,988,214,957,115,746,662,714,645,941,635,462,585,930,798,683,572,068,
205,686,842,971,082,452,285,733,565,585,775,665,826,932,410,026,130,530,237,
246,741,573,621,811,713,502,939,329,350,432,032,100,585,407,123,857,201,945,
255,732,802,988,562,510,774,003,534,636,985,076,180,182,989,911,407,654,597,
433,480,903,182,097,627,060,690,811,869,858,455,219,519,424,339,477,958,687,
355,768,878,445,997,683,582,528,943,912,413,014,577,545,039,770,921,215,926,
534,312,082,459,736,853,489,869,069,611,204,423,678,152,055,980,685,611,591,
238,394,383,758,067,404,390,867,619,163,413,367,881,081,114,826,598,474,807,
456,992,341,801,658,378,428,639,734,298,743,423,941,321,482,088,742,378,314,
429,654,510,928,392,600,496,772,617,479,614,865,899,768,232,962,617,838,236,
936,723,010,560,454,690,976,669,198,380,362,341,186,954,906,616,449,618,699,
230,690,877,658,450,249,873,515,209,784,934,133,441,566,473,724,255,515,299,
915,276,677,816,457,457,316,311,581,577,935,003,287,810,014,268,045,386,371,
984,381,229,273,909,924,572,271,451,723,709,892,003,396,359,461,825,003,151,
575,025,643,833,470,831,835,691,459,284,118,662,996,025,315,639,919,437,998,
064,041,994,237,602,251,332,555,608,472,492,041,256,291,139,344,051,024,433,
495,194,041,710,802,755,339,961,861,805,082,719,397,320,276,754,786,933,434,
462,052,765,338,953,197,880,482,431,514,080,773,053,926,613,672,309,230,637,
917,265,695,351,335,307,038,971,922,350,123,990,138,192,774,073,290,390,168,
725,772,841,309,721,503,534,797,461,749,933,466,743,314,480,724,643,341,433,
996,755,438,296,935,456,475,239,855,041,058,896,324,235,053,898,034,065,276,
114,559,316,580,189,805,453,323,470,687,204,181,681,685,648,957,433,078,819,
710,342,243,270,388,516,909,074,358,861,031,812,202,198,824,649,516,200,176,
452,421,981,563,512,778,070,563,762,125,677,460,304,437,718,098,381,955,736,
465,590,947,385,040,891,244,682,291,950,994,219,308,366,669,635,142,870,329,
824,233,166,469,522,218,381,503,234,916,483,942,262,299,048,170,213,808,770,
072,040,129,143,997,343,014,842,578,223,678,118,475,775,471,158,601,597,213,
265,090,354,821,192,393,349,990,862,607,441,434,180,744,312,130,302,107,394,
596,480,391,410,408,405,515,251,846,527,628,544,344,005,757,121,957,371,961,
817,790,099,011,312,293,157,701,072,324,699,738,976,580,326,795,897,416,984,
429,919,332,900,007,240,228,183,709,211,010,078,499,907,005,517,440,918,686,
464,392,266,508,243,435,149,958,649,383,101,188,207,999,861,575,357,017,968,
598,057,595,153,117,461,825,511,199,266,072,073,891,391,154,439,360,851,575,
773,333,019,635,029,616,660,684,374,025,299,166,996,775,964,106,591,982,905,
498,463,623,240,208,602,497,305,552,734,390,317,816,192,355,366,257,158,281,
623,415,278,392,076,714,490,574,639,487,446,721,979,818,723,202,933,989,974,
923,551,852,797,565,558,947,028,356,074,728,698,555,866,499,838,715,979,503,
709,166,589,092,377,022,487,335,748,943,896,467,978,594,949,751,960,578,582,
122,742,920,565,545,332,521,979,394,769,832,247,458,102,463,552,339,539,028,
318,389,386,668,838,160,760,635,654,421,272,678,066,055,874,435,331,306,754,
262,700,044,738,099,849,467,365,678,144,774,499,583,836,322,602,793,586,619,
244,356,147,138,539,075,415,888,227,226,910,732,354,172,235,104,460,128,260,
506,180,551,855,127,501,597,492,223,417,967,816,979,073,422,347,569,257,976,
601,692,694,909,506,212,372,678,594,984,372,814,897,595,512,937,711,682,694,
971,642,295,113,033,775,291,823,875,509,489,439,361,619,435,937,698,454,070,
115,905,859,889,410,719,492,528,177,272,825,533,432,271,945,885,780,734,385,
776,238,927,428,757,918,896,615,331,997,725,638,074,623,293,836,095,655,363,
458,018,423,514,653,500,922,434,296,494,854,171,093,172,284,459,509,314,798,
216,717,631,965,110,116,348,062,158,616,036,385,008,067,077,594,794,005,863,
139,605,345,469,498,429,797,137,260,079,086,645,726,113,156,359,796,123,093,
620,801,171,768,882,437,275,833,896,405,516,263,715,149,348,021,115,257,979,
573,526,279,677,029,736,738,865,760,484,892,026,751,815,487,909,266,558,169,
614,164,496,312,564,731,529,634,507,130,563,808,034,940,372,504,798,938,163,
850,973,969,567,876,085,285,487,111,754,924,050,967,688,287,942,199,061,606,
495,671,661,477,051,058,112,494,505,478,875,707,969,733,567,265,437,154,546,
404,389,364,719,846,261,430,162,138,579,880,938,969,616,981,813,852,380,885,
266,882,502,130,118,176,305,633,884,367,518,825,507,690,226,615,046,118,282,
689,152,243,250,434,952,937,513,913,827,914,246,124,383,195,147,832,157,177,
680,902,768,783,343,118,991,517,741,387,126,290,966,710,057,039,695,405,608,
852,775,823,126,965,332,886,628,539,080,128,973,486,960,891,223,960,075,424,
099,840,462,144,622,230,888,038,140,779,406,142,194,594,020,912,260,838,854,
164,264,010,735,447,984,558,459,918,958,321,618,990,943,681,583,228,947,315,
732,407,094,827,296,127,140,913,290,093,164,941,925,500,693,151,400,810,635,
282,264,446,093,331,174,344,726,079,766,514,373,679,520,997,515,020,791,257,
416,405,268,498,177,539,645,054,708,762,089,342,455,584,976,683,632,072,570,
068,320,998,691,722,564,665,769,331,307,327,547,687,682,016,675,721,914,445,
457,903,659,190,559,139,390,735,202,452,804,751,598,583,604,572,447,234,528,
852,005,853,012,692,720,649,262,130,271,531,085,624,166,330,261,366,752,463,
314,451,955,102,877,688,116,566,256,784,155,841,959,809,112,030,351,955,635,
889,100,741,375,492,377,516,949,608,718,215,124,403,861,926,230,172,516,042,
735,182,157,016,989,045,799,730,230,492,338,932,138,082,816,274,676,780,869,
304,394,037,110,827,176,891,609,763,757,865,380,339,073,178,528,588,817,591,
421,290,298,650,919,156,035,904,065,861,422,759,973,716,325,222,431,416,434,
972,670,910,224,942,540,565,040,794,864,742,759,618,546,024,337,337,580,380,
376,042,302,759,702,247,430,399,019,807,060,409,112,516,611,677,492,458,880,
871,800,340,098,038,965,564,089,975,619,301,032,777,969,745,617,105,489,826,
146,246,694,500,751,062,732,127,929,809,611,862,292,155,960,211,160,961,739,
633,604,772,172,188,678,938,694,115,369,336,114,593,789,624,679,034,573,076,
362,482,645,620,212,725,465,025,434,582,487,051,501,701,111,627,488,408,309,
354,550,723,833,878,344,470,996,013,335,976,638,895,671,469,987,854,797,892,
439,720,208,957,065,532,806,979,501,081,625,515,021,515,154,098,355,681,339,
643,639,547,270,960,700,465,506,823,186,360,273,200,370,394,548,896,015,618,
772,030,577,255,391,830,069,609,560,956,421,424,230,701,368,337,022,632,270,
544,565,158,946,801,491,292,190,262,518,056,275,053,435,261,652,101,809,162,
490,137,622,534,914,833,325,479,976,621,266,565,591,779,557,988,256,970,119,
017,410,807,513,428,302,289,113,689,389,038,910,286,405,091,643,508,981,689,
345,333,299,261,519,726,684,946,651,149,735,402,682,532,844,034,354,365,121,
432,990,487,318,116,387,677,023,613,220,415,237,820,059,322,941,578,267,305,
166,959,359,421,500,139,929,831,319,950,265,170,575,572,752,215,339,342,713,
021,944,360,117,493,964,311,687,937,364,091,300,188,536,423,901,188,643,041,
629,041,904,528,991,831,200,549,909,554,553,966,139,807,128,458,868,581,172,
461,168,130,139,139,220,885,364,398,905,894,382,754,083,078,272,459,090,283,
090,680,487,090,100,667,103,427,500,581,667,320,761,828,092,255,534,337,095,
822,214,222,762,152,692,099,341,185,991,512,781,446,352,250,000,451,873,590,
764,187,352,540,155,570,952,227,643,801,777,699,600,899,494,054,555,340,717,
089,183,094,113,866,223,639,491,770,980,821,627,346,860,905,053,029,509,584,
443,817,350,305,433,687,899,388,836,896,565,376,195,107,401,929,936,092,612,
242,638,055,646,148,982,750,700,664,582,312,236,234,522,077,866,919,095,080,
057,811,337,265,679,099,607,308,263,391,370,421,002,032,417,217,246,179,728,
125,935,926,043,667,480,324,687,216,723,362,164,367,179,165,798,085,592,592,
292,736,078,771,647,934,164,373,853,658,527,086,581,888,753,713,532,844,120,
576,417,920,227,829,758,681,703,797,548,056,484,932,239,835,847,255,834,276,
730,052,270,579,834,262,851,996,558,630,628,207,935,695,452,411,682,475,975,
862,447,968,752,176,000,349,824,778,234,362,256,572,454,204,115,513,493,290,
770,909,150,895,049,584,131,421,212,615,495,610,010,221,523,793,633,649,704,
141,084,123,521,166,737,741,207,868,717,977,442,745,680,406,578,151,039,222,
033,047,302,214,572,537,161,209,640,155,058,143,404,050,832,476,598,872,981,
077,572,230,125,365,015,851,553,051,789,903,777,957,235,318,186,379,238,597,
918,522,676,242,949,606,821,284,324,136,724,162,397,746,527,095,679,644,983,
253,964,833,560,220,753,842,026,150,568,080,677,455,804,237,197,424,329,528,
612,235,063,601,607,074,706,823,869,166,949,166,093,350,695,769,265,972,412,
114,639,899,276,669,230,696,303,879,248,622,732,307,092,417,368,799,512,406,
768,724,107,629,728,735,856,826,530,416,615,117,726,467,856,568,973,398,897,
444,882,629,871,107,349,102,529,422,057,232,763,481,678,802,509,239,796,702,
418,159,298,600,138,948,475,225,257,420,112,139,954,515,740,671,389,217,408,
001,535,582,250,237,111,995,947,875,853,014,791,398,829,892,202,293,626,769,
542,442,989,646,604,394,898,419,616,210,619,376,018,436,989,574,923,621,154,
312,236,575,058,130,432,820,247,055,037,241,965,578,965,367,738,756,500,133,
595,831,670,799,315,689,985,215,944,532,519,017,357,586,642,879,312,166,376,
943,770,722,022,305,703,495,711,476,255,435,019,443,792,058,145,012,833,881,
724,932,909,233,128,607,924,016,054,293,404,133,354,674,173,459,491,913,756,
090,885,071,923,047,087,025,720,952,301,289,511,997,881,548,853,994,831,083,
567,572,443,078,791,282,259,257,898,479,811,325,047,583,866,569,847,697,919,
096,284,475,078,175,859,060,751,281,986,914,464,297,957,332,057,981,908,319,
577,639,838,778,383,574,239,683,116,335,372,124,834,890,185,816,943,846,900,
176,006,211,133,465,511,226,400,178,281,846,658,797,294,224,056,828,436,577,
960,704,842,438,233,414,661,417,464,338,136,353,053,020,689,959,297,796,512,
322,323,367,221,731,385,329,116,137,530,423,832,477,151,657,264,032,431,108,
110,636,354,903,417,201,428,301,666,886,354,439,158,517,558,486,084,243,136,
181,279,301,083,147,481,094,301,066,730,512,721,731,748,097,783,363,949,849,
363,298,110,890,423,691,834,407,653,838,626,568,533,413,494,303,695,567,665,
945,715,825,837,209,742,059,666,452,311,857,377,465,006,675,859,817,223,390,
767,731,716,696,713,312,192,095,447,580,111,561,172,834,883,359,062,372,712,
032,525,688,496,997,433,536,718,158,453,769,727,281,759,371,364,002,035,494,
920,949,813,723,434,556,502,281,972,305,061,865,130,201,964,408,632,064,624,
306,947,549,213,530,109,646,031,938,750,539,294,606,244,041,971,968,325,681,
108,323,062,864,749,540,560,601,787,861,795,943,353,822,723,556,668,015,321,
251,799,817,540,432,837,711,188,424,858,746,887,824,338,878,805,757,227,964,
181,701,336,163,474,757,676,513,515,729,103,939,521,214,427,369,470,018,382,
242,105,697,670,414,804,284,272,959,735,998,819,968,501,131,813,005,338,521,
299,327,765,545,184,962,339,711,639,748,761,399,852,972,325,214,918,107,992,
923,605,928,132,996,894,596,029,865,089,383,602,527,621,782,754,706,256,735,
780,809,262,912,890,635,007,705,162,231,075,247,614,630,218,636,005,932,736,
548,773,942,650,740,950,393,619,266,112,646,879,116,031,966,911,760,396,152,
234,687,390,310,896,700,968,564,913,104,077,465,137,395,995,763,265,101,060,
500,679,273,032,352,284,260,912,747,003,527,423,476,221,046,597,625,335,377,
391,065,458,328,879,457,353,673,432,055,520,928,042,404,812,786,843,370,148,
327,936,442,874,196,422,826,713,617,018,257,934,847,283,592,774,773,453,019,
839,578,751,487,605,870,645,310,092,511,468,087,199,035,911,454,184,595,400,
740,811,600,547,389,041,459,292,450,090,450,956,034,381,242,458,134,623,300,
862,935,868,580,288,944,048,998,665,966,847,500,750,236,142,411,749,436,595,
387,596,246,174,126,337,397,706,464,191,726,096,773,291,883,949,033,931,383,
763,842,361,074,386,920,408,038,282,122,257,557,482,639,572,360,401,469,572,
136,648,975,976,625,024,054,845,982,811,660,857,498,343,921,245,614,972,931,
599,699,709,396,149,859,277,382,445,767,271,492,611,111,361,230,120,595,343,
133,570,493,148,464,682,768,175,242,124,254,610,915,266,534,329,991,223,439,
257,038,886,554,911,637,920,582,748,023,327,191,147,979,802,185,487,332,894,
944,571,482,864,075,384,916,698,970,844,879,969,280,900,597,484,182,783,819,
757,996,993,982,526,646,655,073,272,646,251,150,490,585,247,907,536,762,555,
193,364,404,782,325,328,025,290,000,444,322,801,140,450,600,654,316,251,862,
732,671,209,052,281,591,334,753,582,217,204,637,264,528,048,491,995,662,369,
981,582,554,997,308,386,102,630,598,720,711,892,381,207,988,056,095,906,271,
365,067,256,187,151,277,465,467,234,837,666,449,582,243,855,068,770,392,780,
072,746,506,641,292,738,819,124,293,713,634,073,134,061,839,496,041,811,291,
183,400,139,580,400,493,014,588,541,244,252,520,376,361,650,340,422,369,607,
823,994,183,970,086,220,496,312,113,853,458,479,977,176,192,716,406,330,882,
100,762,310,304,968,188,624,537,867,589,375,225,822,365,485,869,594,318,442,
519,680,298,821,873,088,623,904,153,269,109,527,155,544,530,952,436,390,548,
554,667,022,376,484,189,723,912,245,823,485,376,709,097,924,197,801,276,272,
735,945,560,996,577,353,719,253,137,261,920,228,176,447,265,114,847,079,363,
625,021,437,006,181,948,098,241,153,088,332,181,457,140,688,706,650,169,102,
577,241,528,957,028,707,962,750,440,444,314,632,336,983,740,115,043,983,095,
299,294,603,348,472,973,799,066,083,660,196,613,482,799,590,959,055,548,076,
629,773,854,394,817,739,297,519,017,193,541,948,716,386,067,071,115,344,120,
835,271,822,342,972,749,977,691,231,908,787,102,027,712,675,998,018,804,282,
215,083,788,235,316,277,436,446,020,851,204,419,971,255,637,167,479,245,310,
118,536,269,929,226,816,368,488,571,159,175,312,883,654,506,877,674,757,698,
294,642,623,937,563,105,543,751,522,382,580,396,632,465,465,849,334,838,905,
283,717,727,792,045,377,795,792,198,314,959,347,959,950,206,386,894,791,567,
648,715,442,762,021,301,229,269,334,838,521,182,965,409,135,233,285,202,761,
262,778,868,251,504,092,613,949,991,845,751,537,074,655,872,266,839,781,659,
120,606,835,903,117,895,128,411,949,279,509,682,484,036,862,769,978,352,670,
111,696,201,129,199,030,397,493,363,727,695,599,710,684,162,610,156,365,080,
951,088,474,586,216,199,617,617,724,670,824,575,616,281,614,010,437,977,637,
910,039,586,049,825,287,777,089,073,539,075,269,149,736,224,682,197,999,986,
578,816,694,339,738,090,537,318,614,194,160,438,423,631,563,411,787,300,389,
198,408,161,475,457,414,293,620,419,474,886,286,401,934,968,352,257,301,583,
035,642,470,779,992,849,472,588,272,100,637,117,979,638,623,808,080,852,348,
949,302,109,062,896,914,864,904,424,186,789,487,359,107,478,985,086,959,624,
548,167,127,975,508,514,120,850,606,033,925,800,962,978,295,161,467,947,040,
673,948,908,430,013,297,514,280,586,403,603,002,330,061,027,475,483,419,735,
198,116,457,794,485,952,769,294,260,359,788,091,995,193,228,858,528,771,084,
792,276,894,528,951,524,193,978,476,244,522,165,209,867,726,627,791,748,621,
246,633,119,125,657,935,101,355,845,204,506,003,886,327,779,933,218,203,044,
344,271,734,062,146,934,093,319,726,031,641,998,216,147,142,887,313,971,457,
705,114,193,736,599,936,811,738,132,434,646,359,061,240,424,997,667,897,740,
811,209,546,332,122,448,718,316,971,011,194,842,988,264,987,579,992,122,915,
441,597,353,755,573,354,950,313,883,305,111,689,355,184,532,403,280,163,482,
322,392,343,285,285,752,425,301,615,343,367,508,937,562,292,985,616,227,429,
102,395,440,365,083,814,001,146,193,878,806,159,529,426,981,725,445,858,675,
688,951,022,809,635,620,607,048,080,816,233,911,975,210,551,607,429,907,993,
729,843,727,375,546,171,471,535,783,217,458,507,004,527,844,261,320,398,253,
740,810,774,533,973,550,988,092,472,062,216,117,012,225,110,079,538,966,193,
935,685,476,382,351,662,007,959,877,764,898,608,195,244,777,304,934,726,316,
031,305,509,894,979,434,139,890,570,505,768,689,112,810,675,353,528,673,400,
621,954,149,320,180,770,345,380,114,898,682,844,312,512,018,055,915,737,414,
862,397,744,680,557,461,179,955,153,415,898,179,281,296,063,507,911,987,096,
220,425,884,324,152,379,722,894,202,008,850,309,418,952,344,093,136,324,006,
208,615,985,061,521,475,299,684,003,080,963,182,539,041,594,466,990,963,045,
025,052,655,096,604,110,677,851,812,566,043,131,818,366,864,872,026,951,055,
461,249,797,341,004,787,231,876,194,306,190,577,378,695,742,607,174,304,494,
583,178,992,620,841,447,956,981,074,984,985,927,123,470,396,464,101,085,281,
088,985,456,319,238,919,347,441,114,095,973,488,972,881,662,027,190,565,144,
218,001,992,108,875,617,665,887,384,940,848,096,678,570,691,883,532,451,073,
873,747,236,516,497,453,633,086,344,836,290,923,962,411,744,703,264,358,287,
648,450,542,447,391,351,273,703,768,505,527,668,215,702,362,616,621,059,754,
620,375,139,866,020,644,072,959,372,727,164,571,748,373,563,370,161,706,789,
369,238,407,245,621,190,721,044,276,627,128,253,919,513,554,741,414,693,984,
319,492,413,192,897,136,770,451,091,947,033,161,130,020,182,256,561,750,772,
583,763,303,399,428,715,372,878,685,731,142,997,814,164,729,951,205,477,211,
965,289,928,479,847,001,725,042,770,667,127,898,434,654,394,782,440,941,419,
124,757,960,571,033,641,052,103,144,861,478,276,365,652,059,480,135,326,033,
385,249,443,260,696,711,353,278,960,968,534,814,303,201,011,462,910,706,132,
991,366,012,356,578,522,833,733,712,110,464,917,848,450,565,946,232,030,941,
657,701,992,064,432,229,805,082,772,871,781,626,286,273,892,169,268,737,893,
066,644,900,897,606,010,820,437,011,789,630,581,761,047,571,831,588,377,435,
919,656,920,714,798,487,440,715,238,334,622,373,727,865,768,183,401,499,793,
801,684,125,964,584,999,653,366,861,284,546,638,569,505,933,422,491,815,625,
636,777,462,273,878,360,107,508,166,635,209,631,989,276,403,827,555,978,259,
895,494,103,350,446,445,412,094,988,686,187,352,443,805,576,445,552,240,493,
778,149,487,476,130,386,148,608,212,722,330,500,186,523,961,479,412,223,017,
582,012,443,709,568,619,243,385,784,624,104,846,758,574,975,386,447,676,279,
449,347,861,234,372,492,180,319,862,157,603,926,299,819,966,433,778,255,503,
706,925,687,439,434,516,088,015,429,939,511,481,689,457,351,330,565,839,319,
583,603,459,884,439,438,200,970,984,190,728,437,114,944,148,520,771,342,672,
849,233,021,050,045,197,193,676,504,038,502,900,487,933,510,869,835,359,460,
822,921,304,895,978,373,307,022,615,310,797,326,991,533,350,488,777,273,233,
317,751,943,612,931,838,674,700,259,870,266,312,263,558,036,614,039,970,267,
016,201,903,565,628,668,701,702,984,910,882,055,293,687,738,841,205,148,493,
320,364,356,283,036,651,753,351,298,945,856,534,498,406,447,040,273,958,154,
230,922,990,525,639,149,779,604,546,380,266,579,074,102,953,388,845,841,148,
181,797,263,011,736,517,357,666,703,597,703,371,990,165,183,589,427,264,605,
437,200,592,635,580,828,084,485,871,019,151,401,181,480,512,860,293,761,044,
211,386,606,799,866,929,345,367,565,763,121,804,347,386,301,723,621,762,361,
270,228,069,816,095,517,369,832,902,865,890,031,549,511,815,455,349,131,360,
307,947,486,115,461,881,445,346,399,952,644,101,875,296,459,065,383,022,932,
214,900,142,867,970,600,751,826,150,091,195,805,641,247,935,946,790,357,309,
793,927,877,344,491,449,897,875,426,324,717,055,365,439,713,435,981,613,877,
153,363,845,223,496,101,631,274,841,297,820,520,100,755,202,522,894,618,849,
357,023,487,105,722,228,672,773,906,556,853,728,521,819,384,138,168,905,427,
558,525,743,777,898,460,920,390,211,439,722,334,009,435,406,610,060,824,143,
797,773,682,875,243,289,114,157,651,332,275,143,868,784,897,548,938,293,401,
774,428,732,755,538,245,024,211,513,686,046,108,619,158,044,345,394,038,362,
993,460,385,473,521,798,211,711,040,708,006,668,816,977,464,727,160,068,423,
871,052,488,426,993,947,080,398,365,230,001,074,921,648,622,604,798,146,220,
019,012,834,027,055,489,796,442,783,171,202,039,046,034,195,699,435,978,632,
018,712,449,027,600,234,189,729,763,899,181,842,911,694,460,738,089,012,027,
578,753,095,768,582,558,778,287,540,057,506,943,815,693,840,061,002,540,065,
675,544,709,896,247,947,123,311,801,625,695,612,496,457,328,900,868,478,228,
887,059,587,903,740,614,629,839,308,489,982,894,842,702,700,151,452,176,848,
855,442,856,997,201,134,946,008,893,654,117,668,031,955,112,121,938,325,597,
705,570,047,248,775,474,681,216,643,719,151,405,633,129,041,724,015,819,691,
514,764,434,110,567,960,198,036,316,506,202,121,583,086,370,607,392,398,846,
064,683,785,265,804,712,281,892,097,901,527,587,629,099,597,854,182,404,673,
096,168,549,321,282,229,564,341,316,122,379,185,558,458,825,007,638,837,886,
171,976,836,227,222,929,733,133,493,543,097,030,273,803,519,468,617,337,129,
422,340,981,834,559,573,711,485,945,433,787,755,139,413,728,369,999,751,718,
202,897,208,656,924,883,967,762,067,620,975,389,790,652,216,920,677,870,077,
501,957,925,082,135,038,110,661,684,896,484,528,680,265,784,289,378,754,945,
260,031,767,681,376,015,841,883,014,455,160,903,783,926,405,643,957,563,884,
285,265,367,416,493,587,469,598,833,213,963,279,146,754,067,934,891,948,138,
339,359,497,335,800,404,901,464,668,912,791,693,650,058,491,291,378,545,670,
374,435,676,574,918,263,513,393,568,476,569,793,231,727,901,952,115,829,878,
162,471,492,336,465,493,417,721,518,960,236,467,763,403,880,710,468,178,123,
716,142,391,815,070,165,981,896,468,177,397,966,804,809,540,374,691,818,731,
484,053,882,383,763,715,754,370,739,637,081,181,426,139,714,044,423,190,361,
679,251,403,264,164,587,845,508,255,958,721,020,718,450,741,260,317,433,667,
758,543,461,086,667,263,634,739,216,462,971,598,481,243,928,161,346,435,995,
487,391,426,469,629,339,004,181,831,603,568,261,325,597,163,153,705,922,911,
813,210,592,233,674,658,945,832,677,857,779,652,642,566,435,408,250,820,397,
892,862,441,637,215,319,191,866,765,132,349,739,058,549,630,003,567,831,792,
563,763,241,922,614,191,667,391,595,256,448,393,313,338,640,285,172,853,656,
130,000,688,183,269,868,236,044,427,782,767,176,015,344,312,606,168,200,479,
109,065,167,752,198,765,849,309,712,736,918,166,092,324,449,962,293,436,532,
254,779,337,294,523,499,318,644,440,941,771,597,429,273,286,847,363,626,568,
513,738,636,722,698,105,969,179,617,899,236,346,417,358,039,400,172,515,570,
026,197,073,689,588,381,705,585,371,951,929,523,191,338,185,802,708,536,899,
815,203,612,560,120,437,825,571,075,963,135,442,895,127,977,153,994,646,215,
440,242,479,245,141,210,522,370,159,847,809,261,937,888,347,091,459,460,368,
766,761,811,890,118,798,110,992,125,854,104,272,768,248,017,330,860,705,503,
696,053,623,822,661,197,460,698,448,466,730,819,255,688,278,943,260,081,765,
347,551,988,418,869,840,143,183,454,329,782,955,961,050,786,014,945,053,207,
304,348,350,661,091,026,737,238,750,429,121,243,387,567,847,322,082,009,119,
090,061,074,865,823,579,393,738,473,679,920,963,914,338,849,119,105,243,427,
564,591,185,139,008,497,936,791,341,083,486,286,578,408,168,776,082,058,481,
726,471,368,604,577,828,168,909,754,843,415,160,241,567,789,800,184,421,116,
388,352,132,060,609,213,756,952,111,615,416,290,981,349,473,707,456,223,842,
781,176,429,179,850,842,936,451,013,350,918,304,930,333,318,671,056,607,415,
190,596,927,524,081,688,512,036,394,029,285,445,337,430,320,461,359,276,213,
958,675,229,069,332,469,235,947,781,566,863,603,375,762,235,965,101,985,276,
379,876,304,352,102,660,160,415,253,190,866,813,990,889,032,567,055,959,996,
314,430,536,543,914,923,827,435,332,538,273,429,416,604,247,378,227,225,056,
347,505,091,665,280,941,505,344,577,719,800,330,778,365,572,390,975,732,587,
861,216,868,208,342,580,209,062,053,556,262,174,633,702,941,934,467,203,457,
750,265,638,221,170,472,486,581,668,980,503,005,633,084,251,609,890,823,091,
876,210,823,612,710,619,091,487,665,174,478,199,354,473,353,418,599,863,309,
851,773,110,892,206,870,749,332,235,215,090,816,187,139,354,114,949,348,026,
539,188,643,814,506,334,983,192,731,736,600,187,941,965,000,259,985,973,802,
367,227,417,702,153,476,274,082,976,633,256,394,361,296,943,703,959,925,343,
325,651,174,327,965,432,700,330,353,550,065,277,419,104,749,733,502,232,142,
886,229,299,483,617,814,477,659,643,821,585,579,819,353,902,932,990,490,802,
788,513,348,120,936,155,670,494,588,610,855,740,858,003,052,067,838,004,597,
437,422,894,832,417,210,633,120,371,511,411,570,744,191,438,036,727,195,120,
354,062,121,855,253,344,790,090,465,365,872,263,541,831,180,055,564,956,434,
844,664,154,080,547,882,850,897,088,708,239,930,967,810,469,343,766,713,150,
752,677,000,338,352,976,150,561,249,719,271,151,184,919,063,530,853,975,381,
970,942,400,982,478,442,995,963,774,371,212,784,767,174,439,845,821,667,404,
851,337,282,885,441,402,447,378,242,338,488,444,454,550,480,665,563,023,222,
947,370,130,189,685,028,840,486,940,220,472,524,368,389,659,444,188,182,585,
016,551,025,018,086,679,258,855,589,479,216,929,514,913,692,468,819,247,351,
382,311,560,517,661,741,808,295,619,797,696,953,879,253,775,949,836,862,655,
532,624,292,236,947,743,406,106,450,132,227,641,744,158,517,302,160,331,299,
267,566,232,464,988,908,421,665,816,605,663,537,978,326,647,486,213,695,383,
397,741,046,457,962,792,059,626,703,176,791,173,112,955,693,524,866,776,734,
295,446,373,202,820,306,875,614,260,574,636,994,143,167,985,607,888,569,019,
569,805,062,306,727,047,807,716,960,391,718,650,908,128,118,702,170,027,180,
839,278,292,703,050,160,835,035,351,002,881,283,254,538,546,448,779,352,327,
488,303,832,956,591,978,887,797,151,203,419,823,671,818,754,145,605,298,838,
075,604,421,840,460,191,913,398,641,740,698,879,743,210,899,998,389,320,670,
853,893,712,156,022,728,491,667,951,509,739,420,639,697,727,903,273,749,642,
881,747,897,540,752,931,578,731,655,270,104,167,706,538,222,004,398,817,424,
681,390,162,526,339,230,002,016,259,945,022,968,343,266,856,910,711,691,650,
074,083,965,088,681,034,314,794,711,156,521,853,038,769,339,570,861,948,494,
249,163,028,281,731,173,247,369,409,890,450,396,270,822,541,763,118,905,981,
436,196,963,464,315,124,473,281,218,195,028,190,120,661,066,941,966,752,107,
697,529,649,128,725,243,094,663,456,281,362,494,127,071,836,231,210,704,603,
492,599,580,532,125,373,435,813,424,408,621,585,001,447,184,811,989,980,761,
594,100,219,161,681,504,193,087,405,925,286,817,470,614,768,597,805,830,899,
094,469,202,347,367,251,272,867,878,790,517,612,674,591,963,929,038,145,486,
684,259,022,004,217,704,411,216,098,137,809,530,988,550,110,183,278,043,170,
056,862,761,836,634,877,221,117,549,215,766,662,580,437,269,932,584,157,476,
673,314,198,512,272,233,539,905,719,729,300,903,470,068,727,983,962,562,275,
663,882,219,122,197,831,286,505,188,668,227,770,083,424,439,619,657,457,091,
201,721,616,845,013,984,984,188,848,328,150,861,774,674,062,092,704,267,429,
928,752,928,908,532,786,658,881,748,683,033,692,713,253,130,111,161,579,661,
042,401,759,043,518,028,581,729,838,182,803,775,864,964,340,112,125,694,212,
169,144,858,891,537,370,960,215,831,676,106,412,490,013,578,678,884,879,270,
993,175,787,319,742,646,056,924,338,388,081,117,352,183,793,279,741,792,280,
268,854,913,329,200,536,422,543,384,037,359,149,245,204,762,349,971,224,775,
142,040,852,406,647,845,812,926,150,783,283,287,098,240,966,991,456,397,621,
177,920,778,557,246,424,420,346,654,091,571,104,979,093,161,547,848,154,332,
795,929,532,233,383,022,102,869,181,245,020,186,987,424,168,042,199,401,753,
352,716,640,481,960,646,799,563,949,983,104,159,411,753,380,901,980,826,938,
883,509,759,091,857,073,513,956,075,565,058,127,976,719,747,271,284,244,699,
868,624,640,871,530,988,374,675,062,339,511,144,720,036,140,429,199,059,141,
677,163,850,372,256,652,220,212,057,620,788,204,929,489,933,261,689,565,244,
842,507,608,272,512,181,166,581,297,534,398,650,054,461,492,059,915,776,883,
915,681,273,791,879,276,831,113,887,941,928,608,193,428,726,604,229,029,040,
648,135,847,188,919,035,261,483,490,975,458,324,647,191,475,010,255,576,822,
180,300,823,730,584,709,119,725,623,194,356,462,643,202,104,893,023,744,101,
024,961,334,371,689,487,147,976,216,211,499,502,582,880,536,476,441,456,164,
681,044,705,675,205,715,013,138,360,333,434,515,511,100,980,351,176,892,656,
056,144,414,669,157,542,644,972,457,554,681,210,395,134,033,919,791,223,205,
088,056,717,050,184,013,229,699,784,702,070,815,565,390,464,688,502,644,271,
431,632,366,187,594,831,977,089,532,881,094,012,364,856,831,479,318,323,059,
294,194,228,386,681,598,869,460,131,946,243,375,130,805,128,342,547,617,746,
561,642,083,878,988,501,290,526,104,656,551,040,413,652,234,205,997,502,792,
619,000,882,337,182,034,019,082,892,466,665,213,103,938,229,450,251,078,828,
368,255,331,360,378,441,804,055,251,178,989,391,795,704,085,089,040,989,521,
620,032,103,944,153,227,773,503,805,919,563,881,054,925,516,820,104,110,439,
782,999,031,097,291,171,876,329,013,286,233,454,503,136,692,316,054,846,304,
771,514,371,303,343,114,089,818,337,834,223,564,920,191,967,522,252,257,363,
785,324,761,138,669,831,224,770,604,702,165,287,742,709,547,415,874,072,831,
528,540,156,586,038,009,780,686,993,289,094,881,124,059,910,642,443,765,713,
078,696,190,540,829,306,288,287,081,285,428,247,026,971,947,957,573,069,120,
531,473,774,332,750,651,115,062,118,009,987,238,120,460,640,378,339,161,279,
473,643,526,546,734,073,975,294,180,066,444,592,699,317,975,693,514,774,284,
868,650,230,786,621,552,838,330,479,665,130,380,947,142,108,185,912,337,553,
431,857,647,155,077,646,819,981,517,295,072,734,199,930,666,221,909,919,641,
456,495,785,855,911,929,956,599,496,069,203,302,973,802,281,173,241,036,345,
257,696,440,766,945,539,440,560,685,675,339,795,397,385,973,268,467,412,296,
685,174,336,653,185,258,831,620,590,407,568,737,450,868,001,843,302,503,479,
872,162,346,323,492,363,538,722,031,808,281,851,263,918,550,774,024,729,257,
655,638,899,810,114,546,481,107,028,491,673,993,852,750,156,922,954,105,108,
558,672,374,746,970,915,748,915,283,012,934,074,764,818,346,130,690,096,883,
125,929,573,671,560,716,670,314,991,668,937,801,250,386,843,134,250,915,880,
985,624,133,337,207,650,465,785,140,751,703,079,779,384,764,040,752,667,475,
682,471,841,275,709,119,885,486,477,084,830,702,592,167,405,215,607,119,662,
990,558,490,975,797,736,337,231,376,288,343,753,484,674,567,862,559,183,773,
169,788,981,672,887,588,131,173,674,144,118,091,056,059,145,517,630,363,927,
212,214,784,675,787,657,434,936,667,369,434,487,545,498,819,521,689,347,539,
132,460,091,480,474,674,313,561,059,878,213,247,944,805,318,049,635,722,468,
989,073,704,519,824,339,747,182,311,532,768,648,073,211,972,208,603,610,367,
183,788,439,606,640,986,014,905,474,060,865,710,191,907,353,242,213,645,919,
171,643,328,436,016,372,724,841,699,203,598,369,715,581,906,835,729,271,005,
866,340,357,056,959,349,928,271,590,992,483,001,865,263,208,494,962,425,374,
888,777,041,443,805,993,671,459,482,035,455,428,228,208,630,117,761,738,703,
201,136,216,747,688,923,296,806,050,662,816,618,638,544,861,430,884,049,290,
159,679,824,037,552,290,818,983,774,327,045,347,496,279,741,585,310,223,507,
308,412,885,134,469,086,026,209,994,699,817,524,264,610,747,427,579,736,798,
261,672,604,243,765,954,286,121,210,531,954,304,259,325,159,641,007,986,013,
607,047,716,494,282,547,431,738,796,858,727,639,123,836,434,924,416,718,435,
081,364,912,469,920,714,061,960,934,847,628,189,635,543,234,697,334,557,911,
189,680,857,355,467,513,011,593,809,956,874,658,859,637,273,444,542,408,513,
367,257,676,138,642,134,402,753,319,181,354,282,194,191,076,004,100,226,280,
740,471,617,351,270,787,594,280,117,446,918,847,593,185,548,224,527,692,912,
062,077,708,046,161,738,150,901,394,692,955,582,407,632,202,774,059,291,343,
886,713,033,954,788,851,026,827,250,797,308,415,234,877,941,909,070,607,074,
263,226,675,081,318,612,279,043,098,562,558,174,757,382,330,729,745,493,995,
875,392,295,149,645,524,216,584,766,343,576,505,398,904,292,076,468,801,653,
162,247,175,324,184,386,295,546,290,630,354,264,299,438,333,463,997,397,652,
555,926,215,194,048,971,273,632,918,669,642,584,653,946,124,484,280,988,680,
679,883,116,590,341,504,922,118,385,493,796,272,846,709,182,987,462,306,679,
418,114,020,759,159,713,168,920,948,040,526,808,799,766,106,398,343,828,686,
825,261,492,034,210,028,712,015,458,636,712,570,527,449,553,064,058,247,139,
488,765,100,466,802,321,722,678,907,650,158,702,536,844,773,023,745,454,863,
055,110,592,090,925,333,036,883,110,386,238,477,305,191,314,422,939,289,632,
194,594,644,533,669,738,566,907,789,082,249,019,062,125,960,838,579,027,476,
180,877,211,177,250,717,845,895,208,894,027,711,711,019,384,290,693,461,085,
130,917,760,680,051,419,169,716,988,340,173,995,483,698,243,086,472,741,418,
626,707,690,517,010,295,562,821,381,189,474,336,559,163,117,113,482,882,038,
071,350,565,965,585,320,660,383,248,944,821,817,862,777,035,427,064,421,562,
021,231,131,747,501,868,538,319,812,114,501,095,154,574,662,053,945,715,801,
331,641,586,193,969,660,372,191,768,113,672,151,200,542,444,289,224,959,934,
056,146,917,924,484,063,196,697,809,622,561,900,373,809,762,180,516,831,449,
375,250,886,355,313,577,939,051,752,213,537,780,108,921,290,296,617,247,125,
804,697,542,404,493,025,347,736,577,014,051,221,779,872,476,946,265,546,670,
407,427,272,605,890,032,978,464,199,592,329,938,282,943,225,261,968,723,670,
002,744,128,968,068,275,541,188,103,239,640,537,184,258,054,453,879,558,609,
105,884,016,261,372,857,361,844,437,931,519,513,241,117,201,357,629,971,107,
433,757,543,161,398,976,783,835,189,139,135,595,406,842,438,074,956,275,078,
222,269,489,924,229,727,590,013,704,455,083,551,357,797,510,111,534,272,688,
421,515,240,751,480,063,784,794,630,488,369,739,287,560,467,063,571,722,670,
588,701,263,061,260,446,894,377,415,089,257,558,682,530,983,964,376,550,820,
285,469,347,707,098,173,507,771,486,864,463,084,336,329,661,306,784,703,409,
085,528,368,304,438,094,264,092,154,308,896,195,073,278,882,342,926,574,984,
638,236,855,696,935,722,028,248,809,693,519,726,767,177,061,711,934,549,079,
555,588,971,066,801,760,801,997,530,405,018,494,945,965,799,377,798,458,163,
699,220,753,350,027,844,544,603,687,532,558,837,733,537,695,633,482,828,759,
392,993,084,673,988,608,426,386,510,453,050,954,451,222,221,528,997,619,066,
934,437,248,286,386,359,687,826,459,625,468,655,417,527,133,056,399,437,909,
379,106,363,021,684,803,255,051,876,389,976,794,874,151,954,606,547,958,405,
329,536,331,599,286,249,185,543,174,285,599,468,331,912,331,180,868,128,001,
466,388,739,831,463,388,599,264,620,910,074,652,654,166,464,981,753,630,218,
934,094,303,530,249,937,997,297,041,192,709,606,172,299,452,011,889,745,388,
364,008,888,516,959,607,473,952,641,128,983,390,198,674,451,656,970,467,677,
742,434,648,566,524,865,112,221,709,905,112,919,561,150,593,776,753,043,001,
134,950,428,990,217,106,362,584,507,306,324,258,226,631,233,777,490,594,889,
378,556,503,468,857,138,082,770,072,151,315,343,112,346,961,970,714,240,951,
274,617,161,104,476,432,416,888,860,334,741,672,435,943,001,711,210,766,443,
761,923,059,100,190,095,592,911,132,142,405,179,514,289,053,622,389,385,662,
264,509,231,883,582,114,011,964,541,012,802,667,329,225,918,642,216,638,638,
380,688,685,933,537,962,982,079,054,384,648,202,413,816,499,019,268,537,981,
895,792,489,522,244,104,754,652,114,099,074,432,597,921,059,802,257,884,247,
898,341,155,268,982,077,755,488,255,770,460,568,104,758,906,460,805,749,759,
629,087,118,054,906,703,461,363,939,242,793,514,220,057,790,914,518,049,114,
405,511,526,416,392,620,385,798,519,440,307,668,243,106,611,773,245,739,958,
455,412,329,180,226,506,673,373,202,593,732,599,865,995,473,968,596,192,147,
207,651,785,171,040,159,385,420,496,193,210,555,093,229,896,832,336,852,150,
129,525,802,194,881,474,445,392,833,049,894,790,369,111,017,409,399,233,433,
358,607,648,045,657,298,746,747,246,614,471,617,179,587,577,358,655,001,012,
108,313,693,274,445,243,548,370,426,727,929,021,071,684,461,829,857,056,747,
731,507,161,780,525,380,281,232,323,081,063,331,380,573,420,414,379,820,207,
308,356,950,528,108,218,487,894,205,690,450,392,850,867,592,937,063,534,762,
081,457,417,117,621,190,022,452,411,753,049,632,188,841,303,602,825,651,026,
087,499,224,602,340,802,270,230,126,602,715,662,511,098,042,121,426,887,039,
579,882,494,407,968,335,940,086,873,401,760,243,082,134,085,992,107,658,437,
583,810,617,499,632,939,710,375,704,151,338,061,886,604,890,597,108,326,598,
526,064,407,165,575,215,861,219,242,041,307,246,324,119,675,142,074,963,002,
237,410,095,841,855,857,008,978,859,277,530,743,289,282,922,388,631,730,279,
092,588,167,297,657,021,820,926,878,330,590,532,583,644,047,078,019,048,851,
548,345,574,910,957,479,399,624,247,030,019,995,120,572,009,864,194,393,534,
214,889,726,373,130,668,013,058,591,002,616,447,131,027,655,298,456,857,378,
963,856,423,085,639,122,921,651,460,888,937,051,339,312,584,510,787,853,745,
595,949,311,601,936,154,018,152,074,444,343,346,122,798,788,321,515,571,499,
794,997,221,553,691,473,640,586,491,718,363,178,872,940,164,879,421,956,838,
339,688,978,419,466,821,026,354,622,188,897,080,631,563,042,769,198,305,308,
887,586,900,922,807,157,392,840,042,011,159,897,653,803,149,450,525,858,962,
164,426,424,573,423,851,825,197,451,719,256,641,528,053,860,789,849,535,537,
293,674,187,049,797,468,766,909,186,743,052,166,747,179,844,987,375,635,279,
491,278,915,497,833,370,541,843,076,387,218,447,381,936,358,819,812,751,645,
732,168,303,087,722,879,146,431,771,867,716,466,716,237,407,947,672,054,380,
595,260,335,406,810,210,736,698,942,830,909,243,626,572,698,358,619,697,598,
133,528,473,209,773,888,604,268,888,598,299,652,383,651,000,894,949,147,650,
709,893,338,422,815,117,203,419,826,113,552,414,045,801,931,030,814,060,074,
470,676,148,700,413,379,611,613,021,871,031,670,057,694,039,575,925,821,811,
394,888,893,009,380,254,088,668,219,579,593,897,869,000,907,234,708,739,145,
353,926,875,901,152,086,696,721,332,784,240,519,149,485,915,191,400,830,650,
109,686,574,732,829,964,374,502,515,193,892,240,453,765,643,731,864,361,873,
758,895,365,731,551,700,798,215,102,276,522,534,045,883,025,072,075,717,415,
690,912,093,858,883,276,090,022,062,909,867,021,820,553,101,055,380,796,679,
220,480,407,442,880,175,902,498,315,603,986,003,055,034,623,510,135,377,006,
857,313,495,105,618,821,943,682,608,991,888,751,004,894,939,074,321,851,160,
344,250,312,551,471,323,267,182,897,260,454,984,221,420,957,697,780,949,519,
173,251,643,031,400,175,903,365,093,745,821,236,740,671,743,938,864,904,051,
345,262,786,907,681,042,173,528,819,805,038,337,621,700,893,946,209,096,067,
028,067,092,262,730,887,341,482,067,313,530,886,951,227,151,491,014,029,191,
579,405,723,752,245,206,409,640,000,123,906,075,303,995,455,913,235,929,430,
303,463,976,652,886,991,548,771,620,063,515,972,178,059,820,490,271,762,352,
364,608,432,588,796,590,776,265,912,355,462,228,930,568,817,050,096,506,002,
909,760,161,098,316,501,378,363,577,111,358,592,119,456,750,142,195,912,209,
118,847,804,408,395,418,080,947,732,394,688,022,061,805,514,004,003,831,134,
293,796,500,371,704,154,370,778,916,484,507,252,348,850,007,391,082,271,384,
888,746,724,440,043,727,337,476,812,370,954,781,549,842,489,329,492,108,381,
069,435,606,613,336,397,211,016,358,879,883,975,111,222,330,476,393,026,570,
706,088,309,639,754,777,366,739,475,588,704,013,480,903,544,033,185,878,872,
100,768,638,875,811,596,116,414,960,985,601,598,730,274,787,788,085,806,921,
571,668,990,643,905,826,241,384,772,631,117,662,359,519,865,769,176,757,396,
829,174,474,723,227,974,672,260,082,296,754,426,117,994,956,084,291,824,307,
721,655,800,812,752,463,769,493,848,565,256,541,462,355,160,040,828,375,955,
608,617,754,503,294,672,917,893,034,652,999,094,978,281,361,416,663,765,870,
344,534,334,136,147,892,271,872,531,729,529,087,424,406,049,306,261,507,720,
299,433,185,139,796,342,353,808,789,118,710,678,109,275,222,229,094,371,271,
368,342,069,983,708,592,842,095,811,880,278,912,417,353,768,333,329,778,533,
836,816,490,154,512,098,402,113,215,306,575,898,739,885,138,121,261,070,217,
438,094,821,756,112,825,531,440,441,508,281,983,915,053,242,915,949,147,344,
284,570,290,841,198,326,322,852,608,968,259,837,902,667,075,376,361,661,206,
068,439,915,731,435,242,440,617,442,534,261,799,135,239,463,481,863,140,356,
536,644,554,144,654,943,415,274,719,039,924,739,822,043,694,918,237,418,632,
510,886,626,670,217,732,407,616,447,764,754,713,247,132,210,695,946,692,573,
314,833,516,285,252,876,415,796,963,088,198,975,849,685,821,009,716,866,577,
165,197,198,995,118,983,858,741,857,234,212,447,395,074,131,674,618,616,533,
317,900,528,975,924,328,460,324,682,485,293,032,804,537,943,078,275,947,825,
631,830,123,810,823,334,520,132,916,113,680,252,811,398,556,011,599,275,855,
175,537,459,672,861,677,746,423,118,107,761,276,264,887,875,796,318,106,127,
411,603,672,862,284,596,124,122,968,626,679,939,986,679,321,408,297,264,410,
292,517,717,741,402,609,065,365,132,311,250,541,934,855,128,113,127,440,501,
382,843,251,415,747,610,286,400,265,194,520,227,475,358,697,493,825,257,540,
246,992,423,428,124,203,868,347,505,632,443,814,335,866,244,933,642,500,246,
304,399,596,808,891,202,893,238,891,080,201,944,829,776,106,867,915,551,524,
298,986,456,535,416,461,444,997,239,587,192,943,867,967,346,350,423,221,144,
073,195,425,651,477,717,727,113,326,848,134,911,900,697,236,889,679,394,283,
681,913,250,976,208,334,076,550,142,418,544,819,657,569,787,181,191,804,414,
575,183,333,870,800,107,974,507,354,504,338,318,023,080,129,434,270,161,686,
490,952,025,521,056,285,208,384,398,800,719,344,114,796,320,168,354,780,899,
797,054,702,361,223,112,552,210,679,081,412,838,961,809,309,851,609,702,695,
401,068,194,373,232,072,473,978,236,043,272,181,780,689,722,626,354,594,659,
779,593,301,607,307,829,328,340,112,196,184,669,228,927,504,553,266,893,737,
524,968,862,042,139,727,963,286,423,849,268,078,518,741,466,905,411,200,946,
345,602,979,724,274,600,301,512,559,221,048,396,759,779,729,217,179,450,282,
910,213,525,796,953,996,504,906,481,514,716,084,246,263,970,875,879,407,433,
924,375,944,068,989,319,433,376,341,931,642,856,989,530,663,166,387,723,291,
750,422,591,714,713,549,895,258,169,597,780,262,552,525,613,451,239,748,579,
266,484,263,898,002,211,577,647,339,719,493,612,037,949,982,455,964,988,520,
759,096,082,824,191,290,817,505,967,483,407,516,505,837,594,124,226,725,516,
657,145,481,793,781,158,267,338,085,399,257,751,308,277,846,655,818,123,047,
870,723,015,443,001,830,631,231,718,774,620,905,467,391,949,709,510,338,802,
605,176,398,893,655,355,094,168,141,417,074,838,909,213,374,975,732,110,068,
455,117,455,811,818,108,270,634,672,673,359,787,888,236,682,406,980,567,853,
686,671,326,740,888,924,580,029,024,371,348,394,076,833,576,858,306,671,804,
274,297,313,103,426,320,627,808,116,380,317,419,325,961,748,850,229,914,554,
975,379,862,904,973,733,549,019,445,507,507,894,140,839,902,731,047,379,128,
521,336,454,046,141,584,686,041,238,539,308,740,726,838,589,935,661,653,847,
615,151,310,628,490,803,920,892,819,322,155,378,821,927,596,582,888,654,488,
209,165,177,631,398,883,275,496,194,708,754,017,311,633,395,444,710,915,450,
141,505,940,240,095,398,856,426,016,536,893,791,119,487,301,722,389,390,065,
980,743,688,778,494,532,661,619,931,461,499,881,344,799,366,357,723,208,295,
959,251,550,437,624,331,391,901,610,934,552,807,232,094,199,455,822,137,445,
006,737,139,716,904,526,046,862,494,910,460,837,571,479,687,097,771,020,686,
752,947,942,055,080,975,190,526,780,994,228,348,169,487,360,411,833,971,797,
054,170,881,590,176,825,786,982,545,263,610,437,543,273,618,499,349,059,361,
712,154,987,764,379,087,234,839,831,474,639,828,569,508,185,076,135,320,767,
121,764,170,500,485,847,018,721,411,769,203,768,749,483,134,883,244,727,140,
753,672,571,980,176,107,971,798,253,864,614,467,346,161,536,372,235,170,069,
893,037,248,680,212,847,478,245,571,211,382,208,038,590,393,345,726,423,712,
140,707,820,899,371,507,216,753,957,499,726,045,560,897,756,261,134,506,719,
301,853,753,087,913,221,172,527,127,494,537,374,921,400,266,357,599,757,967,
023,890,957,392,735,549,347,147,509,734,584,437,179,908,638,063,160,651,045,
999,474,516,119,429,066,426,594,368,467,250,301,237,394,174,945,658,538,097,
394,080,165,219,124,209,381,367,149,868,917,837,695,938,255,312,845,498,406,
098,653,059,560,064,117,315,742,979,946,144,859,150,916,977,202,126,847,647,
529,138,325,598,200,987,467,483,416,636,635,459,047,473,115,666,499,153,407,
766,523,034,032,098,691,497,911,910,614,690,160,684,693,477,136,950,281,076,
774,505,507,977,880,500,930,408,729,866,533,495,904,952,594,549,577,893,268,
818,088,189,792,306,203,153,572,634,066,129,850,252,354,843,035,942,211,582,
252,486,396,758,282,223,009,496,062,127,943,232,123,158,117,892,852,201,192,
139,379,027,655,973,842,734,478,808,255,505,894,077,094,445,824,078,968,367,
761,543,591,563,973,755,882,007,233,739,490,341,397,896,520,891,878,963,369,
163,578,494,612,256,390,547,682,336,351,154,095,508,375,458,358,594,067,709,
464,308,868,149,458,086,315,283,272,420,333,851,211,853,735,094,677,790,135,
105,136,751,391,333,823,820,959,726,234,675,162,102,014,251,050,557,283,265,
195,669,459,147,689,425,957,712,823,528,071,931,683,551,618,542,575,941,645,
403,532,662,093,562,785,062,387,248,589,606,562,430,523,164,380,166,547,490,
414,744,124,320,369,395,871,755,022,040,788,018,511,305,101,202,870,142,528,
050,192,565,859,541,888,919,463,283,518,547,576,735,663,113,283,500,417,605,
212,607,176,884,908,525,521,708,369,631,565,237,121,961,922,942,313,236,833,
371,362,656,610,073,033,004,933,257,084,272,343,648,572,927,277,761,172,193,
682,811,572,244,377,237,727,876,120,246,169,620,823,866,515,419,753,949,164,
455,566,683,384,076,625,913,011,647,662,768,035,821,377,955,397,881,239,282,
335,574,513,912,391,497,763,380,836,887,606,386,562,772,575,839,115,803,558,
995,984,588,847,010,961,137,626,552,732,070,276,447,764,865,442,163,533,388,
446,879,627,692,903,732,364,247,181,963,183,714,110,133,318,686,450,493,466,
327,432,690,524,369,694,334,532,449,029,962,162,707,788,420,644,928,678,033,
039,077,405,359,092,348,978,275,116,844,604,803,263,748,914,130,518,905,765,
702,594,166,794,230,279,773,898,695,554,514,593,852,033,503,897,318,655,386,
978,986,954,367,341,383,016,907,174,184,393,923,288,499,220,491,669,915,372,
212,398,567,430,850,219,629,032,491,743,522,653,478,439,412,814,532,933,416,
371,587,111,457,121,753,719,569,504,847,138,475,171,480,765,497,190,900,111,
868,803,691,823,529,317,341,862,725,387,449,675,236,885,377,087,291,067,394,
215,170,645,708,395,043,830,686,348,870,370,440,832,094,844,528,329,028,070,
310,738,133,644,537,178,315,976,330,759,199,020,795,024,218,010,179,768,413,
230,148,663,461,635,950,336,452,981,581,670,432,660,618,283,721,449,383,566,
358,383,775,568,703,554,140,692,684,862,491,432,684,953,530,784,758,213,012,
247,311,168,163,193,714,532,953,668,169,320,370,650,147,169,666,626,442,547,
370,931,694,670,646,649,458,885,754,581,600,144,693,414,135,868,725,462,573,
909,768,995,166,190,613,900,942,822,570,855,063,967,565,183,486,910,052,675,
928,966,325,697,119,445,829,052,797,785,987,884,071,304,386,624,626,628,433,
819,234,809,072,438,617,695,491,216,033,665,671,576,878,935,716,282,271,125,
655,204,230,099,901,398,863,122,971,056,041,473,179,574,976,160,797,955,570,
984,131,568,757,480,576,488,348,312,309,225,988,950,864,732,373,317,449,394,
418,320,054,408,611,286,499,035,334,538,666,925,859,677,807,095,412,004,891,
871,785,598,867,073,338,627,987,733,896,321,892,981,971,510,620,514,989,663,
759,020,016,145,353,876,563,847,953,201,215,825,525,030,848,251,878,076,206,
647,951,969,065,250,807,064,449,793,119,260,138,236,944,474,913,157,040,198,
998,099,175,367,804,218,593,779,509,061,748,084,393,596,144,602,666,591,367,
180,132,342,469,455,952,206,340,530,141,166,935,832,173,269,963,981,007,402,
969,925,346,644,162,882,225,325,453,581,083,638,586,903,513,745,462,048,132,
452,863,793,316,547,940,784,412,323,518,640,722,776,758,802,811,414,121,416,
251,498,996,397,826,861,753,735,593,189,043,535,653,444,147,585,446,555,462,
380,661,578,837,798,042,380,591,515,232,084,686,047,248,307,307,949,038,292,
244,373,842,683,379,473,528,802,973,244,934,007,772,324,602,007,820,979,676,
209,935,838,606,109,491,480,442,627,242,883,155,599,429,593,650,614,452,565,
687,068,964,414,409,362,264,266,146,434,662,046,403,353,816,582,263,633,096,
937,054,098,626,182,380,123,631,861,553,646,976,123,866,889,086,261,326,650,
723,855,727,128,097,219,475,305,068,715,609,012,700,230,145,522,386,200,946,
717,721,971,191,506,191,731,367,528,968,770,865,909,482,602,851,867,751,198,
714,528,757,725,860,822,036,640,305,509,495,405,748,012,150,445,720,362,783,
833,042,307,786,948,973,790,467,599,942,093,471,595,950,289,797,843,382,862,
864,924,008,681,096,482,366,217,733,977,198,250,042,216,716,944,870,976,884,
643,296,898,957,533,298,076,593,524,533,030,924,151,092,928,068,763,771,607,
847,615,106,892,440,018,474,068,297,981,666,082,008,673,890,486,119,132,317,
665,538,723,009,232,173,347,884,397,490,330,908,519,111,800,892,563,866,220,
878,794,265,980,045,824,185,760,983,535,984,515,623,261,353,636,133,292,052,
827,847,188,556,248,618,743,609,565,937,793,687,213,189,725,678,073,706,345,
939,318,292,898,791,956,798,795,020,326,962,898,400,630,573,923,983,585,666,
748,317,814,761,256,336,098,386,047,000,160,854,406,557,159,502,218,275,243,
486,618,716,956,266,326,766,978,587,934,170,892,537,300,063,609,875,398,679,
685,925,587,070,181,421,569,758,696,575,422,701,209,630,645,304,178,877,575,
901,806,108,814,301,782,108,556,653,156,863,542,422,994,247,133,041,234,833,
618,501,843,333,988,834,724,000,484,589,031,245,353,277,465,226,561,803,028,
241,826,926,964,587,160,327,888,225,523,659,069,094,120,753,691,977,032,374,
060,725,108,226,140,071,020,127,923,406,498,098,359,773,581,506,126,991,083,
342,555,695,477,847,526,483,528,071,443,865,540,832,746,448,062,019,277,465,
635,300,459,552,883,205,943,992,926,124,212,162,051,786,590,864,930,691,576,
300,625,958,018,720,627,208,813,748,364,452,150,837,906,676,681,048,443,136,
226,750,003,956,301,175,223,190,846,872,635,484,126,715,142,786,206,317,847,
257,452,570,062,058,840,286,553,147,404,443,758,689,201,822,094,385,434,074,
932,777,197,635,994,718,330,255,627,127,448,012,998,018,883,595,225,441,668,
546,653,810,927,827,405,147,902,669,838,901,623,392,027,900,596,454,274,841,
955,667,148,579,153,107,025,796,832,781,384,045,214,652,147,885,540,008,334,
369,725,879,299,462,212,934,779,310,566,214,352,963,897,564,025,898,362,812,
220,359,294,638,600,098,409,284,968,948,045,072,357,521,439,543,644,623,442,
375,360,596,159,569,296,001,080,928,818,631,355,487,338,702,946,956,202,502,
296,246,256,329,300,920,314,232,825,964,621,215,498,287,997,644,154,779,230,
269,465,255,215,969,330,437,983,939,449,484,827,078,154,923,593,994,841,684,
688,472,779,090,372,967,629,286,702,077,045,176,614,085,153,535,926,358,009,
766,017,726,065,583,589,644,469,395,183,612,808,620,784,123,928,973,578,266,
603,519,395,696,232,455,934,399,425,284,010,667,726,550,811,573,049,571,325,
084,866,777,376,226,696,232,044,753,727,090,261,585,382,716,964,291,854,006,
683,281,357,510,895,806,518,794,564,048,078,904,874,323,867,593,393,899,084,
170,030,375,025,003,934,389,124,857,186,920,636,750,935,033,098,281,672,214,
330,718,013,698,838,844,712,056,955,237,427,635,773,557,885,014,987,709,653,
417,347,117,581,527,873,796,942,425,169,862,729,891,293,600,130,218,794,418,
759,836,861,766,608,298,782,919,567,135,517,805,846,012,633,749,281,286,384,
120,088,933,632,879,502,829,102,383,798,937,042,602,959,793,013,038,107,862,
019,111,829,538,948,161,755,687,204,958,201,970,338,748,454,279,762,130,485,
174,682,798,463,795,270,404,488,177,259,898,084,473,811,719,722,312,520,445,
494,137,853,806,145,426,760,606,125,866,091,541,290,103,795,350,771,654,459,
646,572,240,278,238,072,474,814,843,217,886,335,485,920,628,209,615,260,279,
615,097,091,055,771,470,572,294,692,190,737,417,312,423,320,059,270,216,417,
945,383,744,398,499,511,580,840,643,533,763,798,467,245,829,195,955,429,263,
872,307,886,459,862,334,553,745,037,712,845,674,830,925,438,484,310,846,496,
788,759,624,502,668,659,587,520,220,107,838,953,301,483,649,578,972,882,853,
959,843,888,220,461,710,999,520,698,248,655,402,120,129,414,028,077,725,614,
431,331,693,534,558,543,011,070,923,654,008,979,593,172,580,992,922,633,503,
275,537,180,591,837,233,839,601,057,900,375,342,953,456,857,506,815,955,208,
831,501,216,849,960,581,208,167,980,146,584,077,783,831,291,020,252,092,034,
084,416,189,392,750,048,105,162,422,985,763,293,883,030,572,788,110,253,332,
340,303,440,962,778,328,136,513,908,206,735,262,415,443,592,772,996,363,406,
031,449,410,632,572,832,640,830,075,665,971,294,169,887,164,806,387,320,934,
136,435,331,500,579,217,041,650,905,583,752,969,096,528,478,711,785,537,761,
301,070,114,852,651,695,979,329,092,587,293,381,714,746,128,393,898,307,592,
190,547,262,477,758,790,294,891,446,009,887,463,646,442,137,096,519,937,168,
878,213,318,091,034,134,384,101,403,957,306,142,601,806,414,735,326,356,318,
925,512,662,704,248,786,316,242,575,763,795,072,944,724,597,261,309,370,459,
298,243,662,269,007,395,530,426,831,612,997,406,439,238,489,701,916,507,778,
852,020,488,505,300,515,125,572,029,546,649,298,707,400,952,430,291,029,421,
546,503,578,679,975,878,121,446,779,998,427,810,475,539,894,587,245,171,753,
147,645,563,072,997,152,210,103,370,985,951,792,467,944,056,825,160,408,876,
771,369,239,816,307,186,427,000,008,794,626,393,665,062,169,507,324,900,726,
017,234,756,907,890,442,116,441,473,044,513,834,418,714,024,562,143,077,712,
327,590,800,618,668,243,453,311,928,511,813,438,506,529,062,636,138,290,437,
498,584,936,638,458,914,038,812,538,524,531,359,994,941,641,806,404,065,189,
948,778,389,228,785,334,635,663,871,143,669,649,514,802,345,758,755,532,428,
579,928,956,804,926,082,826,787,254,797,093,757,454,776,370,044,590,307,819,
875,370,032,443,416,001,226,437,256,105,103,711,198,050,066,678,234,873,982,
645,876,335,481,147,520,967,822,054,218,746,718,857,125,038,335,867,553,519,
522,744,611,426,658,037,872,148,265,209,720,087,859,108,150,472,320,371,218,
215,903,659,114,420,707,883,642,466,526,170,374,626,905,328,709,820,782,691,
887,895,612,047,795,628,508,286,864,192,470,766,348,835,470,083,618,774,524,
668,355,060,777,924,929,853,700,602,982,791,281,153,019,801,153,041,497,557,
074,269,278,551,946,416,291,988,078,618,499,921,819,642,346,084,959,680,724,
197,964,911,475,490,143,034,642,947,671,504,317,717,051,939,312,153,231,420,
053,584,384,051,213,250,281,893,668,951,373,779,516,775,498,900,240,386,187,
944,208,562,520,840,480,234,517,621,742,794,028,813,232,908,488,715,136,876,
908,131,560,050,391,472,382,831,533,322,326,025,947,552,329,879,346,942,031,
669,246,087,007,229,416,917,650,256,334,895,567,211,046,020,412,029,617,266,
531,571,812,814,051,737,328,384,000,940,718,704,569,729,670,185,800,851,287,
918,724,863,063,079,454,556,073,604,675,402,629,257,440,119,183,855,419,295,
597,581,913,045,811,906,514,674,415,819,082,498,088,225,149,674,189,108,241,
925,836,131,710,705,686,571,216,493,284,686,827,967,764,875,453,302,035,430,
348,765,657,958,806,247,974,784,989,609,706,302,209,246,724,948,479,397,815,
638,984,643,157,390,720,518,084,030,131,298,620,582,099,844,180,793,334,301,
741,447,669,967,920,618,621,615,734,052,792,151,654,294,613,776,877,926,558,
091,746,972,580,204,625,217,202,809,203,498,362,385,578,545,288,298,301,450,
409,504,037,561,173,329,434,689,896,470,356,047,113,867,572,363,657,519,990,
638,418,061,092,572,895,740,729,013,817,267,025,782,609,439,329,805,612,490,
871,149,122,859,446,480,208,918,518,301,957,472,225,464,400,125,419,006,158,
165,534,261,489,772,885,008,417,533,592,081,720,182,422,552,844,200,204,909,
282,031,632,847,117,878,615,319,289,643,833,044,802,473,468,880,141,813,877,
563,655,363,071,842,303,544,332,270,797,684,787,053,634,171,925,695,423,205,
500,528,416,935,662,809,097,739,570,304,216,649,806,131,879,933,395,914,424,
270,010,874,169,278,404,335,633,164,320,383,676,534,663,589,369,879,778,058,
003,589,383,986,360,019,884,776,891,316,834,930,953,510,959,424,863,946,391,
623,890,405,026,092,660,075,706,526,439,826,839,557,805,385,076,740,874,733,
593,817,510,507,760,065,060,298,593,449,526,476,371,614,601,437,870,640,451,
209,421,051,927,549,508,302,740,594,315,055,908,668,848,294,174,058,354,122,
166,608,082,335,442,513,386,469,609,214,220,931,724,798,387,376,386,300,262,
035,729,708,612,130,034,084,778,965,722,691,235,717,461,303,099,547,864,720,
869,566,166,484,202,109,433,030,686,699,124,556,053,687,676,477,425,244,271,
247,551,023,139,888,693,197,820,359,083,479,972,029,160,906,035,376,750,616,
913,403,272,740,959,576,628,770,744,611,926,140,042,767,038,847,000,117,957,
084,396,813,714,408,503,147,384,852,054,066,104,546,908,675,303,474,257,194,
810,554,018,621,520,430,119,127,559,093,878,268,587,103,268,330,560,052,049,
815,264,427,384,759,496,954,620,329,738,145,271,383,727,713,460,298,595,858,
321,911,561,199,860,118,700,910,135,827,143,861,987,812,460,753,600,738,321,
983,295,205,732,111,427,787,700,333,026,466,729,435,972,662,737,124,590,649,
682,077,192,449,223,887,602,740,314,791,678,392,781,603,526,561,322,732,966,
979,096,526,646,878,863,293,659,460,430,167,249,176,460,872,182,598,391,106,
998,831,822,019,494,833,740,600,194,876,525,166,397,955,911,254,308,265,985,
163,890,964,761,882,095,259,631,831,099,441,792,804,016,896,363,817,912,637,
448,142,403,433,874,194,719,507,058,161,100,918,044,304,879,446,045,444,736,
249,610,824,704,948,284,310,226,189,540,421,819,303,165,031,423,386,999,744,
475,362,607,023,635,199,960,414,850,813,416,719,793,713,095,234,425,828,287,
929,500,453,028,511,039,557,832,417,826,012,132,839,322,408,161,353,193,443,
348,426,976,633,684,767,791,177,806,611,705,551,591,172,238,352,002,353,793,
695,545,614,292,766,943,911,094,882,461,626,347,384,575,187,261,831,864,627,
345,091,693,064,775,197,757,308,935,818,794,421,340,004,443,047,942,477,833,
815,915,460,936,971,765,054,396,139,558,733,330,104,804,227,747,163,847,306,
453,486,881,823,860,052,640,580,718,590,986,755,767,177,048,052,461,929,506,
829,196,695,750,126,095,443,651,449,862,418,865,728,792,529,581,750,926,108,
855,043,777,627,887,909,503,506,103,384,301,397,967,143,516,142,373,757,683,
706,796,975,248,178,176,970,116,099,697,244,152,997,197,262,692,574,028,366,
002,682,838,384,882,478,556,019,769,007,926,321,418,842,686,589,216,734,872,
334,570,506,811,045,468,758,881,173,520,202,236,049,110,450,307,760,593,286,
359,613,176,596,446,713,148,160,058,719,191,787,763,126,116,470,374,783,617,
305,313,875,994,660,647,977,468,885,307,219,141,039,952,114,558,927,731,804,
868,568,154,124,026,255,885,006,763,760,302,433,158,211,643,276,525,217,675,
649,968,393,091,752,542,841,484,448,224,677,113,574,559,465,035,820,660,954,
279,487,978,551,216,070,697,098,507,981,937,879,923,201,488,043,394,844,985,
113,347,892,791,446,132,116,945,671,520,555,425,977,465,393,451,117,002,959,
457,034,944,174,221,658,365,022,195,130,229,292,698,578,939,448,608,665,680,
325,800,387,777,799,154,943,064,695,440,766,256,572,172,279,202,734,559,176,
771,065,359,959,859,712,057,356,224,064,514,989,632,706,955,531,304,546,537,
679,871,979,613,099,399,079,487,301,047,522,738,163,173,896,022,656,244,491,
678,260,837,156,054,847,946,226,250,565,650,661,822,657,598,482,875,427,497,
677,749,786,491,810,077,214,949,487,459,775,464,522,773,454,282,013,263,312,
338,320,273,319,008,690,178,865,815,988,870,708,334,648,331,230,437,117,846,
672,912,897,931,257,122,045,080,756,599,475,982,684,854,961,539,756,816,660,
649,915,412,369,113,211,148,889,541,876,321,969,338,622,289,197,309,545,134,
907,420,923,983,404,979,856,645,190,164,368,470,353,493,768,581,575,756,343,
669,358,623,967,490,392,969,172,369,956,082,744,990,733,855,084,785,398,729,
180,082,318,163,128,758,584,112,402,064,658,007,786,146,933,105,139,959,894,
797,438,026,938,434,765,532,528,944,966,845,296,575,790,411,202,939,706,455,
191,150,767,870,294,985,735,015,670,114,191,561,894,859,397,306,982,191,851,
193,124,633,203,888,182,551,337,840,407,542,091,975,567,576,663,989,426,739,
115,843,319,044,979,962,848,424,852,264,067,902,461,539,461,423,396,547,434,
134,163,641,713,702,586,178,462,976,446,682,128,038,387,450,438,037,246,441,
462,715,663,253,156,829,805,384,215,688,228,265,146,975,861,910,605,634,978,
119,109,099,775,434,014,058,625,440,162,490,913,332,428,128,888,820,403,962,
094,703,419,865,747,589,447,896,598,933,718,850,847,733,204,500,042,122,345,
193,617,681,358,481,664,338,942,582,939,349,705,312,647,309,768,436,332,715,
831,954,087,812,416,499,002,313,990,349,900,807,261,353,854,926,192,547,360,
959,884,994,208,354,119,762,774,743,595,366,070,817,221,101,934,277,743,494,
204,683,583,930,233,146,467,186,938,693,800,368,463,511,103,513,714,537,553,
032,299,155,631,261,254,744,994,796,535,930,642,875,563,786,095,550,783,703,
443,808,067,796,247,223,080,230,055,037,302,873,162,301,315,817,983,633,488,
048,200,290,546,832,142,621,026,055,421,874,954,391,106,292,357,681,391,135,
223,640,447,763,612,408,331,894,756,582,363,171,133,366,265,893,123,432,429,
905,134,945,800,401,482,530,898,937,312,224,690,959,323,482,390,284,503,416,
964,351,126,177,561,516,642,394,348,571,120,125,059,760,187,446,742,424,269,
947,219,337,607,227,778,570,274,893,954,733,316,171,909,318,865,657,415,215,
866,179,546,621,828,326,485,170,244,249,745,248,431,030,278,018,969,077,418,
121,592,725,052,854,483,901,889,050,032,859,920,776,831,820,180,545,668,854,
846,868,802,524,642,729,829,281,153,647,570,949,786,375,755,643,250,157,461,
119,790,520,006,764,991,625,494,823,354,643,092,655,641,425,325,377,688,911,
668,425,170,255,537,781,213,580,395,005,264,097,563,493,421,078,103,408,560,
776,899,508,334,817,160,984,659,818,120,996,747,961,932,235,428,713,826,441,
760,909,557,150,855,745,227,130,059,873,017,260,695,670,475,794,002,650,133,
090,802,751,513,124,976,284,503,446,260,955,523,943,708,466,815,652,661,410,
889,396,432,007,873,516,375,406,666,052,738,748,929,758,248,819,118,517,392,
095,001,140,233,689,589,841,986,403,956,820,939,770,246,746,977,398,774,500,
257,553,929,478,610,237,863,347,314,955,877,106,507,969,769,794,776,959,270,
773,738,711,806,412,882,763,181,005,757,365,941,251,512,676,345,208,420,039,
537,329,042,664,691,444,648,774,192,772,919,394,455,548,073,006,000,122,791,
263,314,712,984,487,744,794,573,714,528,560,936,541,354,562,616,783,875,725,
954,627,697,537,678,176,336,082,774,300,703,901,086,140,303,553,078,707,397,
192,515,620,928,695,491,070,707,978,416,980,351,596,156,977,283,011,090,978,
244,546,682,758,942,524,112,521,959,797,468,606,687,621,316,815,090,959,779,
411,064,451,636,737,761,658,313,408,434,064,174,394,279,493,774,341,156,568,
295,888,128,246,271,782,061,413,163,495,261,212,276,282,135,668,856,247,771,
284,350,878,748,486,818,710,649,738,009,247,372,840,163,186,462,620,718,438,
322,261,401,390,014,935,609,637,133,359,392,181,707,657,673,194,584,824,593,
866,435,206,393,822,998,748,897,178,366,786,600,471,781,152,382,049,042,771,
501,761,145,984,716,680,712,617,549,094,802,252,269,778,051,690,375,372,727,
255,489,768,309,552,274,342,633,894,608,047,017,533,573,181,090,474,929,890,
718,580,373,463,645,334,210,932,235,146,217,623,863,740,338,810,018,656,429,
665,368,518,683,807,783,525,320,847,088,267,457,049,979,207,848,350,176,472,
066,008,076,612,034,350,489,199,966,515,111,158,008,105,792,409,769,007,205,
596,405,114,012,122,846,900,676,364,761,289,679,195,503,958,371,954,025,982,
671,069,825,185,569,538,628,933,202,588,522,523,030,279,779,081,265,730,196,
896,094,481,066,205,811,242,018,582,593,269,436,432,989,636,595,968,444,957,
828,166,451,011,317,066,815,641,194,760,804,785,954,299,825,314,401,466,818,
829,080,079,735,343,296,134,524,167,494,876,685,566,510,675,001,900,067,414,
542,278,049,736,656,369,875,671,021,363,763,818,422,655,882,444,700,154,943,
780,722,660,642,935,809,531,240,928,858,740,600,307,772,754,049,074,097,039,
678,210,220,761,148,773,007,039,950,157,827,775,585,324,960,784,460,967,625,
805,674,020,686,651,995,179,807,858,493,215,929,826,059,948,584,590,011,891,
025,124,982,107,227,158,141,705,357,010,470,161,452,732,888,844,543,710,479,
397,230,121,831,275,100,541,390,714,283,164,954,460,652,523,221,639,273,910,
611,240,834,014,232,360,394,861,445,608,377,745,856,954,730,242,827,518,889,
350,481,097,378,385,565,265,139,592,787,257,211,983,009,213,880,927,215,813,
932,730,087,160,378,720,200,154,160,495,643,686,293,535,888,663,450,406,772,
460,115,558,481,919,498,868,127,788,590,485,503,568,577,116,210,188,642,415,
094,833,014,536,589,269,648,913,065,292,115,847,821,021,997,099,633,211,019,
155,183,672,752,405,768,756,981,251,482,945,093,298,078,593,532,541,282,803,
357,883,084,549,440,167,415,990,533,943,314,927,509,798,588,622,184,923,093,
745,539,907,180,038,524,401,929,453,705,441,026,675,483,549,234,176,397,255,
348,679,215,190,934,854,108,376,303,198,766,755,960,249,029,599,049,291,878,
486,533,422,628,462,558,345,159,693,529,922,447,235,019,596,455,440,519,237,
979,444,629,934,270,987,215,493,147,530,799,731,825,125,148,350,648,750,796,
262,344,065,625,981,503,308,411,776,528,938,220,490,753,414,466,451,043,075,
476,487,098,961,277,687,157,558,141,662,512,828,304,202,157,902,552,550,553,
662,951,085,816,728,296,797,690,459,155,062,508,147,743,019,707,126,855,356,
862,542,904,811,897,944,452,354,895,148,609,781,524,091,985,375,362,683,240,
628,880,868,240,280,409,683,283,079,880,079,665,779,524,721,362,801,906,462,
182,560,077,069,444,028,000,495,756,390,294,004,177,053,160,275,150,209,688,
882,453,423,359,784,295,199,679,062,741,981,382,620,965,941,163,828,755,141,
619,671,586,439,203,806,172,832,928,855,718,825,179,190,733,839,361,247,486,
110,894,445,328,898,180,455,049,077,557,657,017,385,755,681,967,896,209,762,
760,814,435,430,070,466,922,162,590,274,323,595,929,873,347,637,014,363,419,
166,269,582,438,607,822,819,288,237,251,107,231,380,320,356,309,125,540,119,
187,716,967,626,474,124,443,499,570,894,081,428,343,566,709,804,998,732,370,
942,390,578,525,098,859,618,562,532,520,589,385,521,244,177,818,107,273,680,
563,471,210,139,677,747,040,775,071,108,475,724,408,171,650,737,672,681,496,
625,960,269,707,131,419,218,361,122,523,014,310,224,986,359,385,184,312,479,
547,695,610,396,763,211,740,391,465,509,606,435,753,081,489,055,838,433,307,
361,691,267,456,632,485,602,808,862,973,262,565,295,696,123,625,453,447,151,
950,571,329,185,646,193,234,141,503,492,503,112,436,738,372,958,219,092,700,
013,023,764,558,545,576,347,483,135,588,506,577,484,138,349,114,021,322,391,
197,240,369,167,816,840,702,855,829,137,341,161,392,221,370,934,988,125,243,
792,621,004,370,292,511,550,214,309,052,388,269,146,836,166,459,858,513,769,
962,379,268,014,924,390,199,958,971,698,889,229,864,588,366,331,063,842,675,
131,238,877,205,937,961,163,011,633,640,539,205,892,607,309,577,484,720,539,
657,104,745,587,974,178,805,124,646,347,476,216,206,561,479,916,607,315,827,
152,217,119,364,340,219,653,010,150,629,853,495,643,732,243,277,500,985,363,
724,727,250,078,284,848,825,658,589,138,905,761,924,919,215,793,211,085,015,
490,753,005,597,509,223,276,447,544,907,142,847,787,488,104,901,235,592,548,
916,791,520,912,811,125,071,598,130,725,662,186,039,412,958,029,658,342,505,
958,581,011,390,316,964,315,340,154,821,887,605,025,385,715,448,009,307,960,
157,657,553,195,138,741,160,690,522,168,790,279,749,091,641,985,364,718,419,
528,309,530,428,093,874,338,838,031,853,321,458,212,434,691,432,197,329,532,
986,818,732,819,436,030,496,856,364,357,147,378,777,080,280,732,790,084,581,
931,197,912,792,299,927,883,441,994,797,574,751,633,660,816,001,919,290,224,
498,022,869,632,917,519,950,461,919,658,883,008,723,257,084,665,842,905,343,
180,954,240,394,986,892,255,486,297,776,965,863,544,318,769,362,770,575,709,
552,246,641,595,259,497,068,275,578,303,611,365,794,421,129,730,919,226,034,
494,090,985,554,483,127,344,150,049,018,169,002,645,496,479,789,875,089,908,
236,731,651,747,083,827,894,179,012,289,110,849,897,703,770,457,794,403,287,
249,592,903,403,859,069,299,154,824,316,377,770,769,134,349,274,267,360,705,
303,389,636,043,832,553,842,014,983,963,348,031,640,960,732,579,443,377,145,
071,603,423,047,852,207,300,905,919,929,739,805,753,997,273,080,721,212,177,
673,635,093,014,864,035,311,266,561,657,865,264,327,898,234,968,022,367,354,
711,630,489,511,823,790,719,707,724,441,141,125,964,589,078,316,867,576,725,
531,927,476,267,435,896,830,807,644,613,964,409,258,929,717,574,133,066,100,
869,108,283,055,614,089,906,189,244,649,423,711,913,021,455,018,874,441,010,
823,933,992,889,042,594,154,985,480,956,403,833,948,980,533,410,536,105,292,
463,260,505,511,226,861,877,053,487,764,879,827,033,175,526,693,712,918,718,
179,789,713,011,274,768,732,140,055,404,792,493,059,644,998,135,068,796,326,
130,573,225,541,883,912,083,137,572,574,528,860,314,460,986,474,167,132,297,
533,773,898,520,009,444,385,029,246,006,731,284,349,734,449,846,570,834,125,
729,633,168,533,312,214,558,967,636,739,152,129,959,502,709,052,972,171,909,
067,505,940,629,361,277,816,728,220,479,898,118,270,617,847,520,446,082,382,
287,542,452,057,934,264,134,089,444,681,339,525,446,445,411,836,545,376,290,
770,697,306,802,646,381,498,215,577,266,376,530,329,924,882,490,224,384,969,
748,358,806,147,785,076,970,605,709,854,278,054,271,895,217,469,673,833,899,
554,670,677,765,580,479,585,957,675,232,722,996,049,521,583,325,651,453,786,
696,511,163,291,388,102,186,891,368,111,954,988,723,135,189,334,746,724,132,
464,502,271,281,001,370,857,833,263,177,781,541,693,552,504,693,821,012,743,
205,835,476,162,923,063,732,890,096,876,852,481,154,186,091,430,492,776,554,
041,018,912,213,531,267,362,088,758,514,989,199,372,621,705,797,244,335,271,
677,958,949,440,088,345,707,927,849,686,565,931,405,416,989,576,365,391,250,
188,078,507,419,138,037,651,763,373,954,643,795,245,298,891,966,131,890,927,
759,725,744,017,365,853,359,326,384,757,736,283,483,471,704,535,383,014,975,
052,619,157,403,136,164,826,267,224,551,728,772,108,608,672,536,900,855,148,
097,771,943,895,849,197,422,956,780,521,598,814,801,000,043,850,605,631,654,
614,592,773,770,306,411,069,540,288,803,139,924,100,692,091,586,500,673,502,
763,695,137,875,397,258,953,500,358,403,523,852,936,522,411,751,733,758,169,
687,715,049,613,113,103,736,861,937,678,505,968,453,026,862,507,485,635,503,
564,479,902,377,357,494,279,407,631,636,127,611,415,889,130,837,808,953,416,
000,916,719,195,550,855,792,888,813,010,188,358,849,332,594,201,979,516,889,
399,846,725,429,586,137,752,127,023,668,311,751,708,717,258,611,276,904,243,
122,138,871,174,599,926,497,095,239,551,874,632,657,755,668,703,702,222,798,
334,515,008,801,800,933,292,293,049,241,579,532,091,415,799,677,173,953,866,
615,035,633,635,205,381,613,740,006,786,813,136,659,748,130,871,799,088,297,
487,590,506,834,702,353,047,392,944,877,529,197,522,905,668,174,670,756,407,
842,670,959,389,386,494,913,105,764,038,256,622,853,643,154,903,528,935,329,
192,980,449,818,878,359,996,222,428,550,796,057,192,809,469,441,829,035,467,
468,878,395,367,547,101,388,958,992,206,471,872,750,101,113,792,193,044,411,
948,160,219,851,519,067,543,913,938,499,578,246,084,898,795,366,766,056,585,
573,826,016,125,240,811,504,545,801,668,586,123,413,039,712,524,295,295,510,
148,716,175,614,656,706,534,860,711,234,712,108,843,082,732,893,957,751,714,
288,147,542,952,610,247,400,927,020,774,284,894,777,300,514,702,152,760,367,
198,124,296,050,104,622,580,714,962,765,130,642,336,829,842,040,194,215,592,
532,565,795,451,666,723,049,244,824,245,664,515,995,514,481,764,105,710,660,
765,673,999,133,322,953,358,975,356,942,227,222,235,895,182,587,588,790,350,
406,752,426,422,530,200,880,612,173,377,939,979,089,143,822,792,995,167,083,
214,065,696,656,412,726,016,868,481,078,488,885,628,813,504,073,439,069,039,
018,761,379,439,413,265,941,303,939,536,829,920,992,385,593,446,774,290,946,
459,279,320,224,317,783,461,143,340,517,335,325,499,701,905,747,787,023,510,
724,079,233,420,640,527,894,429,229,255,380,654,386,620,842,997,065,635,776,
969,951,412,471,895,373,965,756,568,341,116,062,118,320,578,828,845,833,618,
043,461,353,885,298,564,660,580,728,012,081,997,972,258,333,535,762,603,347,
086,120,145,680,429,788,239,135,936,894,045,947,212,118,018,838,441,228,296,
000,986,460,262,207,949,258,030,166,697,670,138,991,193,632,087,928,812,155,
561,308,866,288,620,176,268,758,059,352,839,782,381,032,019,576,445,072,328,
411,045,681,693,619,021,669,091,552,211,719,491,899,780,178,935,503,035,542,
812,096,682,804,799,513,466,367,671,456,396,952,309,535,163,023,788,362,228,
708,281,826,479,766,616,330,473,962,110,260,052,477,796,879,315,312,938,828,
228,101,499,525,254,012,767,391,489,303,339,485,133,287,104,243,188,283,899,
741,146,808,922,668,403,285,109,217,417,193,780,650,084,596,019,539,547,406,
989,966,118,943,244,554,090,585,216,345,259,155,072,200,247,775,386,670,004,
285,390,661,164,474,107,137,030,268,366,239,135,543,232,802,217,468,859,214,
114,372,612,486,140,991,321,864,634,926,976,545,164,050,974,351,660,933,651,
844,205,784,613,805,569,467,968,731,139,765,192,927,983,886,192,846,538,807,
123,075,665,845,738,825,550,899,837,843,886,916,426,104,424,656,656,633,916,
956,336,648,631,520,581,742,574,180,070,680,707,595,638,510,379,672,339,740,
954,257,344,087,957,179,943,707,248,559,598,818,339,181,792,759,657,830,444,
903,706,641,561,443,143,349,969,983,805,195,293,150,388,659,610,109,002,651,
634,115,204,902,448,051,459,946,536,210,690,839,696,627,276,830,556,080,332,
966,755,344,552,020,790,820,542,819,872,074,411,201,400,722,870,740,502,030,
946,284,212,280,350,365,484,848,770,169,774,104,758,717,866,547,679,550,373,
408,138,920,898,561,598,370,849,086,268,863,096,499,580,929,044,693,110,969,
284,242,925,551,591,873,863,510,485,959,767,863,490,889,758,504,216,338,111,
494,541,777,669,144,573,706,356,125,443,785,304,065,429,786,099,539,614,563,
431,433,045,291,873,843,070,778,925,116,300,242,138,437,797,072,412,839,947,
344,164,686,256,746,502,195,523,819,970,865,193,659,546,897,300,053,136,546,
525,453,234,682,739,222,079,644,056,912,410,905,420,623,003,860,942,165,427,
632,600,391,667,954,674,897,465,614,928,122,248,245,889,607,787,919,391,526,
930,546,092,661,860,975,954,160,407,076,963,716,586,509,919,546,819,368,467,
789,861,334,387,753,235,254,421,465,222,312,093,593,634,117,972,427,874,734,
037,329,944,313,248,368,509,740,875,186,725,438,629,537,035,020,109,834,050,
884,317,511,011,828,857,110,309,216,756,783,784,479,853,884,804,950,675,371,
868,806,843,476,174,274,715,145,423,709,461,385,446,713,394,545,259,790,970,
302,336,046,431,716,529,284,857,199,641,877,207,628,054,971,535,745,121,681,
785,296,583,874,039,962,568,930,883,659,294,865,199,191,506,583,219,923,846,
727,036,928,558,932,858,601,733,494,370,683,544,861,879,766,912,336,128,713,
934,770,394,322,605,769,230,818,349,274,382,677,552,332,699,858,974,605,841,
003,379,252,435,323,966,602,804,832,605,434,248,339,290,780,919,830,933,990,
011,637,462,940,936,222,713,951,445,721,462,073,594,967,613,539,879,965,580,
127,350,961,020,047,329,351,588,870,693,804,325,178,726,513,450,241,208,974,
475,713,887,049,206,818,126,314,965,684,722,095,997,859,375,567,802,418,412,
415,646,361,689,143,276,114,517,663,420,455,533,398,539,756,524,397,763,877,
956,274,918,780,695,596,066,369,286,611,757,722,604,397,364,980,615,714,205,
428,802,880,980,749,161,353,347,538,514,174,658,087,203,607,042,593,684,695,
415,744,298,575,973,841,139,668,500,959,119,599,100,647,888,006,261,495,045,
102,273,780,638,954,779,708,035,743,382,777,297,664,753,673,945,556,622,759,
141,450,522,102,755,067,278,809,739,367,196,534,726,163,090,036,317,026,053,
180,066,922,885,438,287,646,740,729,386,659,690,159,979,949,787,741,043,951,
638,062,694,062,815,352,107,203,200,186,629,301,634,135,567,325,904,440,176,
838,803,110,544,785,142,507,628,568,588,693,804,266,339,961,358,478,863,763,
172,507,562,731,190,471,982,974,008,706,087,970,839,206,373,137,142,245,999,
943,982,759,829,000,619,899,754,109,987,381,081,671,636,247,658,560,168,100,
294,075,200,210,812,700,369,097,650,011,949,666,355,176,244,106,089,058,185,
917,979,835,053,681,943,789,728,385,345,115,436,842,009,768,810,486,428,538,
068,171,574,258,249,430,730,583,906,908,878,043,365,348,355,874,338,788,760,
266,853,910,262,480,726,201,553,220,652,528,668,240,440,586,446,916,264,363,
924,771,055,992,352,968,605,178,083,427,615,032,425,509,993,306,057,395,032,
476,127,872,504,113,366,905,079,127,647,303,078,567,870,604,771,483,640,090,
739,565,459,720,413,336,794,296,647,342,424,959,968,149,500,152,976,216,634,
095,728,512,360,167,278,629,779,354,585,355,594,140,222,983,002,542,948,426,
133,250,225,125,598,259,106,326,328,051,823,686,726,762,428,498,755,294,420,
324,659,117,178,236,992,398,698,887,014,953,271,288,591,984,358,395,917,445,
724,852,696,739,713,139,689,419,666,474,323,947,534,945,220,078,467,487,273,
489,425,674,014,086,948,501,083,467,364,837,362,268,535,727,755,822,687,701,
513,392,393,022,299,008,096,872,250,439,701,127,819,219,865,383,705,800,998,
932,549,681,203,078,764,583,436,892,455,535,562,737,003,702,290,820,018,503,
381,892,180,733,915,882,159,680,608,281,183,244,522,135,239,983,770,478,268,
460,073,864,506,402,187,498,820,305,872,294,134,728,284,502,439,929,594,334,
670,937,780,033,185,550,070,861,478,707,047,714,598,432,877,769,075,274,517,
708,978,294,615,904,551,592,076,513,403,614,429,104,533,181,200,740,954,616,
930,573,831,232,166,389,579,307,526,972,834,541,539,628,782,456,676,462,083,
407,212,573,302,580,126,011,050,230,481,080,683,662,879,667,573,645,378,569,
743,523,782,973,603,156,200,025,251,935,045,186,206,912,279,064,823,601,354,
190,807,768,518,303,531,912,491,605,689,362,264,462,835,113,082,569,489,281,
173,811,004,102,803,933,132,058,118,290,957,238,594,933,955,265,538,346,763,
123,614,363,250,468,948,081,981,040,805,885,423,804,200,043,269,938,553,802,
940,284,228,000,767,590,572,244,001,976,403,039,094,379,558,120,603,543,653,
601,691,028,321,849,599,847,951,281,862,692,827,976,013,812,170,312,930,457,
440,837,053,497,438,414,406,933,951,863,793,974,225,265,523,366,935,801,352,
595,179,303,151,783,155,903,787,126,082,625,738,913,060,680,888,492,450,721,
524,837,239,850,498,108,395,971,234,492,866,773,956,687,676,376,124,707,732,
344,879,072,815,402,919,506,526,166,716,387,740,400,398,931,075,876,345,564,
625,329,525,432,636,767,887,363,119,616,619,751,528,726,333,455,680,378,057,
930,245,674,183,002,389,796,888,050,525,579,095,837,159,627,013,223,644,239,
639,794,086,317,190,010,596,386,896,790,421,689,444,519,849,220,887,403,362,
418,954,556,853,881,933,567,953,948,954,625,442,397,969,112,847,694,769,230,
808,846,672,814,905,480,746,828,384,968,998,346,017,946,987,579,128,525,649,
759,579,422,971,949,134,693,514,402,994,961,607,891,813,398,536,565,908,607,
435,966,337,783,577,315,576,720,286,477,294,381,356,473,879,441,351,467,059,
332,028,346,714,367,520,282,293,694,334,873,958,668,957,809,241,188,322,739,
875,319,566,245,048,918,955,765,682,402,043,392,792,626,297,444,240,043,403,
618,548,240,961,291,107,488,557,463,126,541,041,464,069,995,763,988,270,238,
691,533,556,577,489,360,947,985,820,375,331,484,861,250,972,048,134,739,742,
273,437,972,746,603,461,200,232,905,244,552,820,801,644,981,813,378,716,472,
971,341,509,518,799,762,159,982,275,298,710,787,249,164,146,835,720,182,888,
940,759,038,811,132,480,090,262,486,246,152,216,555,934,230,443,645,365,701,
605,726,790,091,311,314,903,810,988,279,646,108,513,923,896,604,684,632,914,
548,381,444,535,686,057,122,995,542,461,249,070,966,350,552,954,042,251,418,
342,965,453,332,068,741,444,164,889,566,470,850,132,641,012,567,072,127,709,
318,387,416,843,831,392,974,800,027,153,283,104,407,943,753,604,324,716,911,
808,855,050,029,539,093,045,941,694,593,931,540,619,605,620,677,054,170,536,
263,677,694,654,581,449,728,331,775,969,925,370,036,229,158,637,773,445,860,
837,388,459,542,611,279,311,669,487,630,001,375,189,634,727,236,031,614,436,
192,293,541,189,430,844,443,492,172,501,304,166,531,059,683,012,701,702,435,
362,101,823,057,300,151,633,366,401,673,429,856,406,361,955,202,548,000,601,
187,330,192,521,746,681,585,465,269,068,108,763,870,938,603,476,507,223,284,
853,072,555,257,275,449,500,805,302,887,007,073,174,821,579,685,870,200,903,
015,507,706,077,291,632,728,126,589,209,510,082,059,405,292,781,044,378,403,
643,124,124,347,201,424,083,007,150,486,867,002,215,194,655,931,284,153,165,
378,646,649,457,647,213,007,858,348,343,574,246,268,308,589,796,938,214,381,
834,799,457,302,997,290,900,950,472,637,619,553,784,494,254,731,489,886,573,
881,941,479,755,544,346,515,726,162,147,972,325,991,556,973,257,962,429,490,
516,222,546,829,761,205,777,372,723,893,848,541,664,748,847,871,118,058,509,
393,329,625,575,512,944,835,063,542,535,924,164,752,378,799,233,361,433,345,
241,723,209,014,297,790,846,012,578,532,493,752,375,941,290,295,145,461,797,
457,608,763,654,345,313,427,417,056,430,784,655,170,525,192,470,962,715,996,
466,174,936,186,806,250,258,600,957,825,886,215,619,166,065,905,235,656,095,
506,549,036,355,298,779,634,760,391,305,803,976,639,071,999,871,291,664,720,
371,752,601,242,069,425,158,278,870,429,004,133,565,260,586,454,926,471,134,
736,363,238,228,031,020,472,612,296,968,089,748,689,278,288,756,605,248,838,
172,910,276,108,972,244,878,756,324,869,478,922,831,896,373,461,234,938,559,
757,966,150,954,572,550,747,387,660,216,992,606,766,109,065,597,026,062,718,
508,374,844,306,172,081,179,498,933,644,951,771,470,642,787,804,833,067,160,
262,802,180,794,819,988,329,727,414,659,987,970,067,697,304,462,385,982,319,
068,616,042,247,721,672,178,786,529,717,074,874,396,173,468,782,942,487,713,
970,283,774,688,912,743,542,729,665,692,508,510,028,319,404,144,198,333,884,
480,613,514,847,063,421,156,791,840,745,567,354,876,783,598,707,998,304,564,
537,141,207,665,923,734,452,370,961,786,815,133,568,073,546,034,584,278,800,
644,777,519,587,870,267,093,723,582,010,626,128,412,763,894,332,833,832,298,
762,375,698,270,139,245,433,330,923,824,768,336,052,656,733,068,991,847,838,
177,329,284,604,144,057,869,539,478,740,636,218,235,069,319,007,967,108,632,
952,354,086,485,562,733,906,683,139,730,105,575,523,902,389,116,772,629,029,
983,779,439,002,145,974,220,155,090,842,742,601,045,415,675,283,537,323,098,
177,315,475,550,228,358,746,805,248,216,301,166,759,598,288,104,841,200,326,
947,198,624,401,956,450,171,862,287,929,428,289,608,997,660,447,104,835,286,
436,316,877,644,243,748,935,480,751,294,071,732,969,313,776,681,789,509,671,
451,226,907,699,753,591,670,322,296,036,875,582,684,750,761,171,139,085,018,
915,489,051,816,097,709,740,190,112,893,544,539,901,484,638,835,365,164,868,
162,411,353,326,914,651,431,313,997,069,846,689,329,414,057,640,888,612,925,
580,411,431,007,539,556,049,938,380,605,228,006,978,300,387,522,775,017,739,
037,998,731,527,389,789,006,488,392,020,134,356,410,180,232,374,231,131,577,
922,570,193,637,293,906,369,418,102,082,841,323,934,961,032,092,692,463,414,
845,516,703,367,668,037,460,024,150,055,606,029,952,806,454,784,225,773,676,
166,184,864,821,440,315,725,688,969,493,145,904,144,651,707,749,284,034,334,
150,338,010,194,039,758,417,990,942,893,801,100,342,658,879,347,292,704,179,
244,815,717,495,932,286,952,007,359,082,063,082,845,119,825,919,649,902,927,
206,917,162,597,126,248,605,200,608,604,378,757,565,444,866,106,651,713,429,
512,910,158,193,889,052,207,029,690,902,820,374,433,262,205,843,408,454,582,
636,807,455,662,796,517,692,702,060,841,971,218,830,350,733,296,309,555,867,
967,077,821,273,847,959,450,707,174,792,060,042,597,901,540,225,147,272,264,
057,048,718,839,313,455,973,109,841,064,048,610,659,507,503,845,228,461,434,
714,984,948,962,729,414,171,509,516,246,829,363,536,602,451,603,561,705,016,
787,933,571,921,980,729,276,532,394,388,762,410,518,885,449,969,171,867,429,
247,655,308,186,167,397,659,939,040,504,979,234,901,083,853,838,095,199,238,
888,104,268,953,840,416,699,956,000,011,927,578,188,433,368,962,244,895,649,
880,513,368,365,189,375,025,622,462,624,469,474,694,617,052,455,602,759,695,
321,298,400,099,024,059,117,231,458,949,231,577,784,793,516,548,939,959,911,
289,451,382,583,417,169,865,252,675,560,239,536,453,532,710,447,520,066,652,
139,065,554,143,667,105,457,341,176,986,713,573,936,764,504,610,719,022,070,
256,798,287,486,593,296,488,552,792,333,168,902,239,295,367,234,404,125,970,
089,592,733,688,375,414,592,692,061,676,956,789,942,106,468,720,000,380,775,
529,313,645,504,796,440,509,829,376,815,996,471,356,190,546,719,540,481,315,
487,164,979,435,795,743,817,218,678,110,207,609,025,584,648,775,583,244,958,
880,467,886,416,797,481,029,252,488,208,280,351,364,120,986,536,061,706,981,
314,260,736,159,787,114,737,589,298,033,258,132,319,455,142,225,050,584,272,
845,682,881,981,865,102,678,331,947,529,651,465,217,055,881,944,941,966,487,
673,120,802,824,343,825,097,892,370,833,959,904,342,719,753,620,457,832,926,
826,783,203,624,292,597,092,821,319,302,332,509,770,107,400,366,856,767,284,
970,978,712,024,993,959,441,164,347,830,202,329,881,052,082,588,736,894,209,
050,856,765,220,686,194,900,588,798,579,730,687,593,676,126,383,014,253,340,
365,564,761,271,303,450,149,615,242,575,350,294,133,070,430,991,091,255,727,
451,473,782,096,677,288,108,328,423,512,767,031,407,398,602,191,903,943,532,
723,758,933,592,812,734,498,585,749,948,941,903,674,460,013,561,467,201,384,
546,724,385,047,962,371,062,477,577,703,437,759,677,295,611,585,270,797,217,
568,489,479,810,045,107,622,060,124,135,254,234,199,323,681,379,258,713,333,
299,531,567,906,553,027,759,532,040,928,263,663,941,107,901,082,587,006,824,
989,860,588,105,033,327,727,170,513,763,020,595,295,485,255,423,058,306,414,
796,810,236,115,272,365,992,353,905,069,700,385,045,122,279,378,155,211,937,
531,446,795,706,222,973,104,019,800,282,254,731,934,125,753,754,716,160,164,
378,117,469,474,383,271,128,919,363,369,783,945,644,778,417,378,876,425,799,
884,000,388,069,867,545,449,636,270,811,381,748,830,471,559,953,859,488,703,
513,411,254,151,528,439,795,871,339,048,498,053,053,708,385,531,418,065,484,
641,978,769,169,490,617,325,936,134,975,509,248,388,478,559,735,731,713,759,
156,673,500,523,453,052,994,576,410,970,814,488,569,060,091,095,436,407,409,
199,552,243,110,648,795,068,335,574,731,141,602,147,289,812,032,026,945,137,
534,685,896,508,502,877,744,227,824,431,706,697,190,117,924,339,877,796,398,
495,066,056,752,212,763,727,620,819,567,450,718,997,995,490,559,841,552,450,
705,711,505,255,608,751,346,927,638,886,391,860,691,767,240,517,478,927,413,
090,321,162,575,298,847,165,738,775,553,479,822,082,667,981,748,612,105,822,
513,048,084,163,998,104,231,751,157,142,324,784,714,742,330,987,660,621,027,
048,532,612,424,653,778,920,576,849,966,383,289,639,671,078,768,818,652,641,
534,609,581,255,428,709,692,151,092,593,755,699,745,377,824,700,417,686,628,
234,464,726,193,406,747,208,337,673,821,053,502,740,403,185,854,764,665,393,
867,385,977,245,971,150,779,929,000,198,480,890,705,009,048,109,083,154,236,
780,475,231,161,871,830,052,370,370,636,951,478,535,017,028,668,101,432,131,
083,531,695,109,132,035,723,867,269,550,449,201,304,994,728,970,100,618,063,
111,878,659,628,026,151,699,017,587,120,810,519,452,504,223,903,764,243,962,
441,346,679,549,849,911,577,011,249,391,275,854,768,392,062,492,502,379,618,
435,951,423,254,140,032,740,190,358,248,125,801,636,949,991,724,593,784,758,
698,133,854,543,050,088,624,615,488,177,882,324,869,801,877,673,282,075,766,
223,714,079,679,200,094,245,093,566,217,651,005,080,020,502,951,101,914,829,
420,884,033,933,970,450,882,233,029,198,789,567,348,623,893,796,430,536,596,
150,696,453,763,471,436,748,753,022,136,029,933,364,562,422,857,566,742,899,
217,595,036,956,020,298,529,908,509,676,416,574,615,723,047,689,289,105,885,
986,363,502,065,762,595,164,432,249,677,230,452,359,049,198,228,769,759,426,
081,784,105,275,388,610,006,833,554,763,935,071,422,610,215,143,805,251,944,
656,060,929,921,504,941,269,110,880,237,670,388,472,525,339,906,938,393,829,
709,887,730,472,040,490,788,430,769,808,312,342,886,415,489,702,442,667,365,
963,811,196,448,227,677,543,291,444,768,675,114,941,651,665,728,132,979,671,
591,882,476,037,746,066,293,491,885,780,595,647,918,511,478,671,979,777,113,
669,543,918,387,762,825,049,260,432,546,828,618,506,019,085,942,985,817,166,
888,620,446,825,615,952,035,813,631,724,987,911,952,358,187,144,489,418,405,
874,606,079,048,366,405,384,436,391,315,842,981,217,304,535,080,812,295,528,
863,504,804,768,647,828,072,406,763,626,774,473,795,747,686,630,655,893,326,
650,085,500,098,845,949,862,999,957,395,615,555,819,194,136,904,704,068,720,
851,550,066,882,836,271,922,456,488,950,531,500,815,723,260,704,101,466,978,
371,724,846,318,509,431,881,047,899,458,504,429,185,977,249,114,274,938,348,
105,470,106,214,789,099,095,975,996,146,521,681,622,268,836,546,286,017,884,
583,138,215,216,003,015,465,077,524,976,008,884,282,282,977,878,600,908,504,
714,792,484,448,710,655,633,794,385,977,701,857,594,759,428,469,075,636,887,
098,898,591,339,792,946,827,333,221,619,710,706,722,164,961,112,274,189,028,
883,858,962,819,437,088,037,745,975,074,127,935,281,343,561,326,843,745,618,
832,876,786,969,087,969,780,116,855,757,365,970,884,344,209,256,943,757,256,
405,752,321,842,142,919,481,832,167,241,976,117,919,514,485,665,782,447,429,
561,494,126,245,075,103,783,118,251,102,193,565,680,919,523,085,840,854,239,
089,946,162,237,067,674,750,515,934,330,387,618,019,909,228,667,233,559,739,
641,321,228,120,945,996,836,602,022,742,246,743,497,720,242,327,165,470,683,
333,492,043,701,317,332,977,385,215,230,661,206,847,591,049,323,769,779,950,
173,456,768,166,483,047,997,720,020,371,479,014,313,158,486,146,768,042,638,
951,776,083,186,342,902,915,696,381,736,445,398,028,854,915,507,244,094,948,
993,373,528,909,889,498,151,071,563,593,831,052,533,900,657,357,298,620,809,
225,911,964,420,895,185,271,301,454,765,331,902,385,076,114,642,765,454,301,
564,740,113,713,835,970,441,349,625,779,139,707,179,761,672,364,988,424,538,
212,883,839,537,705,555,147,915,280,670,358,210,322,222,982,391,633,806,379,
226,423,206,695,854,527,195,926,097,749,961,764,340,910,598,236,367,697,129,
733,142,760,044,588,836,753,229,918,718,866,427,944,501,407,739,394,917,436,
571,087,314,832,589,420,779,475,459,976,503,953,401,645,346,638,341,326,361,
191,081,440,242,783,795,041,550,570,861,830,342,908,130,578,337,748,031,380,
950,284,704,243,705,208,357,389,520,226,954,444,894,862,797,096,787,835,596,
302,024,851,629,575,733,280,187,733,352,252,126,178,586,384,419,655,734,734,
984,085,326,013,698,982,433,560,036,419,744,886,904,794,734,550,688,051,723,
730,890,046,854,978,513,068,543,167,654,980,990,525,166,592,147,111,026,778,
343,580,577,756,974,257,881,967,428,817,326,142,037,001,405,744,019,269,285,
551,557,402,375,091,581,738,808,221,461,984,509,230,867,298,226,262,775,118,
074,827,469,471,365,392,018,277,601,532,502,134,769,629,012,739,440,363,774,
908,297,544,408,419,422,739,162,053,668,057,541,770,752,774,093,248,423,342,
933,450,259,889,255,199,373,007,857,139,247,283,842,727,020,389,947,204,822,
144,779,427,614,843,168,170,102,819,879,696,998,377,474,376,623,437,949,168,
064,751,103,442,955,865,371,085,436,528,852,612,605,969,152,118,709,524,775,
294,945,201,347,906,775,399,459,148,863,201,321,326,329,087,379,540,002,371,
657,307,177,365,579,179,133,474,958,270,026,661,319,464,919,521,557,151,259,
906,022,648,844,861,107,473,141,634,338,066,775,022,347,121,059,423,788,682,
553,432,415,222,502,848,985,911,703,799,880,572,702,765,639,864,514,833,614,
193,000,761,519,460,840,517,718,661,841,365,477,206,080,882,363,021,058,496,
958,699,384,949,491,644,355,791,028,915,038,608,093,447,309,874,479,212,846,
618,909,319,238,013,545,979,887,501,137,298,686,228,385,944,356,955,190,201,
536,283,083,145,055,369,465,106,092,579,073,231,613,879,148,906,713,917,815,
682,080,678,578,667,150,099,842,101,606,455,689,377,364,540,120,727,967,724,
121,047,526,910,059,893,394,171,295,808,851,112,450,387,030,737,539,595,289,
197,941,946,088,435,543,034,797,035,256,282,361,947,700,208,326,167,728,374,
523,246,937,543,183,932,470,708,868,756,961,823,313,405,110,454,707,794,635,
344,640,674,172,208,813,588,028,086,422,748,587,013,628,626,023,706,915,861,
060,967,248,346,414,041,604,792,785,602,235,799,122,796,235,910,635,109,010,
814,099,810,134,479,920,288,153,855,696,859,221,640,697,284,284,434,089,417,
562,958,744,062,774,757,218,742,020,793,301,240,023,152,168,046,645,685,388,
318,733,901,972,902,870,633,077,808,125,813,573,542,359,889,909,465,767,038,
350,162,347,028,598,217,997,530,360,372,685,536,016,682,342,779,537,032,807,
792,976,441,328,063,734,572,568,080,120,992,568,788,041,210,817,222,410,860,
320,420,362,474,822,197,204,725,461,228,106,723,362,586,808,947,349,387,189,
953,622,968,751,185,671,187,182,415,584,031,259,622,650,650,983,334,980,224,
005,087,261,164,450,191,688,331,338,870,371,828,357,148,757,146,613,790,965,
669,230,144,347,656,820,145,016,282,143,183,403,059,379,116,637,500,512,421,
865,847,025,126,821,939,028,285,307,640,563,950,446,951,441,688,908,346,923,
768,130,361,376,100,006,820,632,958,666,411,865,368,303,508,545,924,280,730,
668,663,530,043,152,971,109,458,358,578,376,294,709,538,928,471,603,789,434,
079,813,550,016,028,971,811,132,141,689,373,350,702,376,371,343,184,837,259,
191,361,141,405,877,939,544,934,188,097,295,931,042,855,687,753,065,818,991,
699,969,644,682,495,622,330,479,793,217,369,442,082,994,505,250,553,067,885,
389,090,860,586,316,129,669,080,365,611,022,579,815,522,116,927,943,352,003,
828,123,890,188,526,629,812,398,749,125,870,239,982,247,086,585,130,475,868,
146,903,284,607,492,183,162,362,985,603,549,049,713,322,200,211,193,834,385,
899,204,719,267,674,662,379,256,016,926,679,274,304,123,746,123,916,104,325,
379,330,941,378,456,621,470,137,566,068,429,496,062,034,082,751,696,324,308,
059,027,621,551,450,207,057,841,037,951,779,711,644,769,381,661,709,875,232,
000,038,364,106,614,273,210,730,725,368,428,056,968,409,980,815,171,331,596,
445,802,034,897,562,974,887,299,816,453,168,392,347,146,978,071,610,963,109,
859,414,498,128,649,867,825,855,795,178,870,419,214,900,444,702,198,231,268,
497,545,017,282,933,696,765,291,230,158,048,994,296,345,778,205,050,867,787,
783,597,295,657,771,723,850,988,919,486,179,086,541,591,900,430,968,024,012,
235,084,631,215,691,427,564,420,976,759,873,730,641,098,359,294,348,639,458,
475,846,958,188,610,525,138,861,336,661,879,201,479,389,376,326,831,012,560,
663,586,816,524,274,215,793,121,804,815,157,247,911,061,747,883,233,088,890,
709,736,867,545,684,366,128,329,945,468,644,594,670,340,949,538,183,780,756,
624,841,345,425,454,156,324,748,191,129,031,295,934,072,783,434,816,225,266,
773,838,831,239,556,647,934,614,812,279,130,777,355,967,743,811,658,107,109,
265,527,624,301,587,751,913,944,051,787,645,392,103,954,694,349,340,577,501,
665,329,603,903,804,896,011,585,984,088,844,294,830,168,672,798,886,826,529,
042,175,634,705,043,232,478,127,326,526,219,940,044,433,403,325,798,761,603,
080,222,466,873,880,742,440,521,249,367,028,269,819,261,908,444,054,974,044,
931,269,981,936,684,445,525,158,185,948,689,162,190,641,820,381,374,291,991,
236,992,859,539,948,696,137,918,822,783,039,182,955,485,320,820,881,443,503,
458,160,778,364,486,109,913,372,985,216,043,624,195,741,712,344,335,773,825,
221,233,134,790,491,768,242,344,252,202,868,478,126,120,913,691,129,023,960,
264,501,487,852,983,647,079,417,953,989,959,705,362,368,046,431,885,032,036,
051,058,016,339,739,513,171,055,982,874,714,952,117,237,413,256,152,309,281,
233,926,821,323,735,669,614,115,608,840,532,489,323,579,694,843,272,567,456,
373,673,036,663,663,802,732,779,028,743,254,499,299,584,273,203,091,943,903,
059,805,951,475,470,626,617,663,291,339,115,288,858,980,433,414,457,486,283,
604,653,133,153,441,080,966,129,642,141,102,267,069,678,129,365,176,460,320,
124,385,387,572,782,462,146,730,416,029,855,333,186,245,446,566,274,992,681,
791,512,282,656,469,829,928,123,125,391,037,747,817,833,221,813,171,170,667,
451,220,814,737,618,838,898,928,218,678,696,696,624,669,030,398,147,915,861,
210,334,609,657,120,635,963,059,736,297,985,082,749,036,897,361,671,904,804,
120,656,253,134,475,221,156,529,886,229,489,571,999,701,651,705,263,378,900,
561,722,676,527,676,565,446,830,667,987,310,912,977,231,858,296,236,711,149,
394,075,270,133,423,188,661,372,901,044,081,842,468,111,515,695,093,334,216,
377,955,102,938,486,652,834,038,719,641,101,288,552,910,291,229,769,755,372,
826,071,489,999,850,385,093,492,743,552,187,033,552,738,092,805,621,147,005,
075,156,176,926,395,313,781,371,954,498,414,998,944,820,184,952,036,830,100,
159,821,033,316,544,737,530,852,217,645,675,438,188,181,172,476,097,217,836,
560,853,061,090,810,508,809,063,256,551,202,167,714,564,999,330,894,453,543,
366,410,279,412,828,496,769,384,607,257,361,988,028,871,151,744,305,008,821,
029,449,251,443,073,726,556,478,380,443,372,838,755,996,879,899,927,478,508,
698,356,565,155,971,731,902,140,651,856,384,039,132,099,027,781,500,204,020,
660,042,027,307,314,617,896,165,410,675,662,430,992,465,504,127,848,241,582,
859,710,393,348,319,378,184,763,284,896,843,929,501,826,403,331,931,743,157,
283,279,719,851,658,011,590,479,745,960,357,437,301,975,801,495,600,365,298,
516,216,474,050,343,927,600,320,664,282,435,818,920,129,989,933,548,582,421,
729,606,199,558,012,053,356,672,585,906,461,304,126,749,202,061,855,663,459,
636,301,744,544,747,245,419,419,949,535,761,465,049,074,477,449,135,801,130,
887,823,421,393,421,294,268,555,175,281,579,668,469,239,420,324,218,061,130,
290,688,121,009,466,406,986,752,145,157,437,258,749,045,736,298,796,552,111,
676,451,290,396,119,019,262,884,226,624,276,177,925,853,598,605,609,102,749,
360,692,448,422,037,777,748,817,998,678,899,019,605,244,254,562,790,979,282,
787,854,620,370,911,257,714,846,427,061,794,286,489,070,439,486,070,792,435,
589,949,197,138,628,666,861,814,573,600,589,491,627,543,151,960,229,946,741,
788,479,103,924,357,151,743,641,134,361,898,566,438,744,630,871,362,843,534,
568,294,307,761,817,032,317,838,596,878,428,653,448,303,689,450,486,032,609,
194,740,441,780,883,778,299,887,262,133,957,607,463,259,872,717,166,853,963,
328,834,942,439,769,461,183,009,140,378,104,597,603,261,405,389,597,326,522,
306,944,157,178,842,440,615,935,643,216,268,639,228,215,168,171,919,619,237,
531,497,232,092,953,744,606,041,630,438,033,384,850,900,364,670,529,497,399,
109,730,725,627,110,465,286,905,378,110,604,669,462,401,377,936,603,172,612,
432,234,922,355,644,605,937,154,663,595,801,991,239,079,184,965,000,599,781,
551,970,781,753,157,647,295,986,466,104,505,449,195,784,982,634,456,765,269,
068,814,305,298,802,242,984,535,040,973,985,175,794,671,222,672,283,882,827,
491,147,438,810,416,896,892,149,237,148,251,253,505,871,478,984,792,349,089,
412,801,555,505,744,640,119,014,774,873,366,924,030,404,532,429,199,460,794,
642,432,350,079,473,159,521,109,186,495,427,049,166,384,198,745,826,366,580,
721,457,041,597,761,513,600,595,006,688,016,241,561,337,170,200,530,479,053,
468,997,104,816,386,246,454,047,307,358,176,020,565,932,036,979,884,298,061,
204,797,753,879,509,227,810,659,059,491,596,083,661,196,675,104,800,660,276,
930,329,081,211,262,228,043,494,356,363,685,623,003,929,970,112,139,741,636,
845,019,816,957,552,107,126,837,158,901,852,550,935,153,582,534,020,372,122,
256,398,834,623,767,616,972,995,062,751,611,378,087,961,302,481,041,879,985,
788,048,508,690,824,650,907,563,953,408,886,893,914,897,637,309,853,447,948,
977,610,276,407,057,943,468,869,533,471,369,925,352,724,633,841,064,150,666,
548,623,845,647,312,475,659,246,494,815,031,848,275,915,989,356,441,164,553,
309,665,279,919,312,013,172,279,324,592,874,198,854,478,162,310,170,455,576,
811,254,626,598,430,019,358,764,885,936,487,869,879,901,215,541,085,768,563,
574,659,659,498,113,293,996,577,855,690,291,356,887,868,914,352,077,373,011,
041,625,186,283,186,913,850,305,973,422,467,047,950,923,620,407,943,210,187,
968,996,509,071,724,296,806,735,122,188,640,153,479,989,608,978,924,105,314,
901,331,462,687,693,184,563,519,764,071,471,194,379,031,552,691,399,954,080,
343,600,063,838,089,307,051,722,387,506,505,669,657,608,543,209,630,262,907,
434,325,059,840,816,692,326,577,228,458,899,087,190,488,213,618,735,706,089,
040,749,520,881,920,021,796,793,404,671,670,532,836,061,771,802,651,227,498,
727,616,440,912,361,387,540,453,781,146,694,731,790,334,310,027,290,825,180,
586,027,623,886,585,646,524,661,313,352,815,448,815,076,803,866,621,551,689,
048,309,552,471,133,553,941,566,706,302,916,558,771,083,866,769,175,927,144,
861,614,325,493,439,262,582,803,492,488,439,629,620,790,856,751,053,333,727,
206,758,389,408,064,683,358,040,793,814,998,438,937,301,362,323,030,464,742,
099,833,535,733,010,010,457,625,754,167,690,710,090,854,256,098,216,522,843,
986,721,562,367,675,757,667,605,161,590,720,272,187,903,245,933,255,141,538,
405,598,547,415,637,503,401,190,833,672,548,329,379,386,093,903,017,518,258,
857,667,855,979,124,599,994,985,467,958,423,876,412,037,095,554,375,639,129,
318,132,300,245,445,695,422,262,567,650,129,913,677,935,080,640,028,461,750,
534,193,431,012,678,903,061,077,624,046,121,190,426,540,324,930,876,148,669,
431,320,087,673,669,391,188,377,871,327,137,828,482,107,010,602,280,673,027,
299,482,014,587,622,944,971,291,375,754,239,992,548,500,059,541,096,672,401,
606,890,218,717,388,873,232,489,391,398,699,472,938,734,840,905,785,951,093,
860,810,662,529,354,193,115,301,467,253,663,239,642,419,594,702,562,493,279,
725,932,523,607,829,707,151,061,064,236,610,089,576,627,065,145,699,372,123,
297,741,228,805,619,807,140,938,150,195,475,930,652,899,424,109,356,820,368,
513,261,682,930,533,477,355,837,184,756,672,344,947,062,073,825,196,989,219,
095,431,009,301,546,215,452,856,518,447,752,389,237,026,040,237,293,974,064,
054,609,199,569,818,358,393,202,504,716,059,027,094,857,276,465,948,711,714,
291,598,183,942,592,193,715,152,909,555,413,360,658,794,083,981,026,544,566,
233,794,175,669,963,876,248,720,205,620,513,179,727,590,814,038,797,111,436,
647,376,428,516,792,854,312,960,650,993,649,655,682,085,023,100,716,161,807,
786,100,566,865,067,407,084,778,827,909,179,962,780,588,187,832,269,827,157,
780,474,178,421,555,414,883,948,412,754,440,199,637,376,198,311,527,691,215,
247,797,391,166,912,024,539,568,461,055,465,092,244,132,438,663,940,706,249,
190,184,791,340,750,228,267,347,440,097,577,359,260,670,542,978,601,307,048,
775,783,825,597,320,543,744,784,686,943,098,820,402,441,837,482,056,137,023,
500,878,411,915,844,357,989,878,012,448,444,521,264,511,947,943,906,441,078,
397,311,012,687,044,063,337,328,001,939,849,543,798,184,116,418,471,533,545,
888,183,533,534,553,590,864,433,220,749,542,769,682,238,681,889,280,911,269,
858,615,058,491,766,957,397,713,076,981,005,210,156,574,567,123,418,157,689,
648,369,266,249,113,731,407,468,805,277,100,724,948,525,433,827,746,777,626,
158,119,485,413,328,144,751,703,268,986,758,404,084,414,312,352,848,402,423,
522,405,281,507,917,403,429,565,779,598,915,455,978,383,362,758,529,567,246,
492,252,030,131,672,816,273,636,350,954,720,280,800,481,522,622,127,355,956,
572,178,205,574,457,383,465,822,343,050,115,867,295,594,519,264,429,793,938,
048,510,408,565,065,446,028,277,525,266,385,139,896,044,754,481,736,836,763,
748,437,173,452,720,636,518,936,022,378,080,819,225,516,122,013,952,188,133,
336,418,855,481,465,282,230,944,908,401,766,598,517,541,737,931,152,832,499,
526,472,254,550,755,740,766,411,045,409,405,560,360,919,467,470,976,898,920,
608,870,476,599,870,901,307,712,636,538,939,405,075,830,992,435,631,173,154,
964,984,053,252,680,922,575,827,434,607,651,899,359,365,728,160,255,497,641,
906,216,858,734,775,821,172,446,593,166,430,111,308,110,079,358,435,653,792,
951,535,565,774,177,455,094,419,032,688,321,181,653,812,654,064,599,984,288,
289,900,589,819,250,446,054,157,814,631,016,682,890,280,981,304,780,702,398,
858,777,670,102,129,796,835,944,691,431,711,450,057,339,485,629,472,956,429,
564,467,664,723,548,997,264,341,609,044,172,566,718,203,491,970,322,341,445,
657,006,892,872,639,240,081,370,846,590,647,680,408,428,130,770,973,334,011,
600,272,106,770,855,584,554,036,189,493,786,039,750,421,549,774,230,917,232,
686,635,425,071,136,975,770,513,525,000,767,209,451,548,696,289,209,045,587,
632,678,630,952,049,887,384,435,479,224,901,366,000,510,768,588,894,041,400,
046,465,105,555,973,609,597,142,559,358,520,162,428,588,952,806,300,410,724,
590,515,837,289,810,880,919,261,290,094,280,231,570,444,517,545,111,366,914,
849,333,798,545,362,396,333,245,647,555,274,563,783,920,544,476,532,340,174,
818,769,762,316,831,521,977,219,200,939,462,393,674,997,414,260,132,151,944,
392,587,132,718,130,401,970,662,075,043,761,964,958,129,746,680,446,249,760,
362,175,193,423,914,364,886,848,845,627,423,253,381,941,697,464,192,225,516,
060,231,229,212,709,061,041,804,247,762,156,902,538,186,076,485,267,446,660,
446,947,698,747,290,707,402,836,927,217,518,267,680,237,289,018,060,826,920,
936,063,035,352,024,800,810,675,397,308,309,208,135,935,156,503,532,431,159,
954,409,658,593,567,512,589,358,639,306,360,910,121,485,075,916,250,654,646,
538,340,361,293,668,122,514,585,498,001,784,463,056,875,939,367,575,583,917,
412,514,721,535,432,574,014,048,726,481,003,811,142,626,774,734,852,002,089,
813,121,477,354,789,158,426,269,726,938,395,387,235,445,194,266,814,447,687,
977,423,226,762,922,508,070,963,545,356,009,733,585,393,305,363,819,431,871,
139,905,784,182,750,570,387,644,625,761,746,809,770,894,289,834,495,190,974,
404,396,208,196,431,794,803,221,295,857,432,333,029,154,628,824,227,994,712,
657,588,738,760,371,685,934,572,359,972,988,074,519,900,296,220,215,703,256,
817,636,467,955,361,146,328,157,935,487,348,633,282,352,587,231,952,004,061,
249,216,383,314,480,813,056,834,705,113,836,354,435,656,570,000,889,656,179,
738,769,670,711,368,050,652,045,041,722,676,314,847,271,803,001,107,709,825,
015,786,302,290,948,171,780,358,309,564,120,600,964,276,582,440,282,467,198,
733,671,435,598,737,863,520,251,838,189,917,995,589,405,617,289,913,272,664,
526,013,713,676,981,284,040,249,769,846,809,894,008,110,407,976,778,447,234,
006,905,400,649,306,346,743,543,569,658,715,529,768,539,200,426,122,948,888,
616,760,857,891,070,410,524,853,211,607,192,092,275,851,632,618,576,962,518,
867,195,362,752,731,623,745,524,734,985,553,929,628,038,931,629,551,716,133,
915,299,276,449,884,472,992,978,477,731,263,615,313,907,646,429,824,967,706,
451,752,097,961,803,230,682,295,158,058,741,070,305,348,299,656,254,528,452,
338,450,974,238,083,021,155,205,221,582,361,723,568,759,441,272,535,369,352,
637,546,286,444,179,395,418,919,045,957,645,804,947,408,187,587,431,069,138,
044,481,286,047,486,854,333,762,226,907,330,195,257,838,791,044,430,224,588,
137,976,571,599,049,451,492,784,509,905,587,608,667,521,983,119,823,472,898,
501,738,152,032,648,163,949,996,426,018,865,845,136,935,723,217,348,536,518,
622,876,802,780,438,774,102,412,127,747,870,548,013,900,593,235,511,308,114,
310,228,165,629,745,768,619,052,400,960,542,196,599,681,738,949,403,627,161,
344,976,770,790,698,336,938,063,876,393,275,584,812,930,165,990,439,346,249,
299,255,119,548,104,961,454,328,689,776,783,039,522,716,574,785,735,091,704,
164,031,348,786,869,812,909,457,263,940,224,103,012,780,258,734,080,148,732,
198,031,523,449,626,823,655,303,911,182,198,698,048,987,609,580,629,076,672,
416,444,550,498,151,016,845,493,915,337,094,836,881,268,363,374,074,121,823,
028,202,396,676,585,963,240,139,034,570,234,985,540,477,240,689,749,594,372,
341,542,306,457,715,275,382,067,306,637,770,449,759,619,974,947,719,286,681,
660,641,402,374,386,708,084,215,238,841,991,172,194,341,008,673,333,722,211,
704,562,269,345,870,920,829,536,579,985,622,465,026,908,813,470,566,984,211,
858,475,118,395,692,085,586,969,184,527,954,805,724,579,701,887,359,109,568,
400,107,293,849,833,328,233,800,279,823,498,380,309,652,924,401,608,111,829,
760,039,991,130,129,094,105,294,520,054,205,861,535,259,114,727,453,306,231,
602,812,272,159,087,092,561,038,936,527,191,157,887,403,933,853,616,517,696,
119,743,856,634,866,415,804,546,811,079,782,010,517,552,787,968,349,612,507,
464,975,956,858,358,424,103,510,903,529,271,136,762,338,375,690,237,060,549,
924,701,953,565,722,884,153,458,015,144,529,148,888,464,236,925,796,826,700,
066,201,478,106,872,770,327,545,806,469,480,816,453,778,761,277,153,577,939,
175,972,436,480,515,778,555,268,223,239,815,805,104,163,165,893,032,224,474,
689,924,098,894,787,985,621,851,244,639,072,087,407,509,584,119,797,141,396,
902,694,537,193,270,702,617,070,758,571,919,521,570,523,573,391,484,522,673,
013,007,784,726,349,474,651,016,524,437,669,077,927,169,853,671,700,206,256,
580,502,038,813,379,235,823,490,520,592,348,628,544,563,603,063,748,889,475,
597,207,083,145,627,132,473,851,601,327,274,718,397,949,229,787,273,530,178,
791,026,695,229,608,297,999,790,204,293,975,001,190,510,696,457,201,890,718,
591,128,400,277,713,213,569,135,297,195,744,102,671,988,511,417,711,950,882,
649,866,475,464,514,129,548,999,896,328,652,656,802,001,233,826,763,741,788,
118,753,903,781,640,292,782,602,378,597,521,026,795,217,514,383,924,601,871,
787,116,527,557,585,066,337,938,822,372,701,088,618,537,659,290,273,224,012,
196,050,339,809,685,217,637,097,466,364,972,646,105,464,375,916,057,315,779,
779,516,394,185,271,229,703,101,671,583,669,352,932,827,309,895,843,262,695,
268,464,994,031,066,103,401,186,758,961,939,388,397,494,948,027,998,076,595,
569,985,526,839,828,307,304,884,855,348,210,297,202,145,973,459,660,331,296,
976,118,528,503,829,012,966,928,296,871,290,745,657,169,478,622,325,831,218,
510,717,689,791,029,499,303,050,432,444,761,386,857,466,278,389,984,340,854,
381,963,253,117,683,587,616,271,755,569,562,726,360,310,975,968,178,358,786,
684,798,567,932,117,859,091,241,874,751,380,862,429,358,015,508,998,102,426,
577,439,376,339,212,656,868,322,247,155,566,088,738,151,400,450,901,122,462,
367,787,261,858,491,005,370,246,959,525,128,666,609,403,535,000,497,055,441,
599,716,179,362,805,626,549,599,916,737,955,107,650,565,941,143,026,141,997,
671,310,160,654,350,610,204,192,952,546,650,203,562,025,613,918,613,489,809,
450,991,352,480,375,068,408,288,771,122,521,853,425,788,431,551,257,475,827,
963,095,451,223,001,601,821,429,632,038,959,327,059,134,516,180,669,833,365,
521,099,339,047,707,808,276,445,645,877,077,268,376,913,186,906,241,438,808,
609,051,775,409,999,977,611,500,493,128,023,701,140,561,111,892,815,178,214,
447,487,570,297,615,654,670,087,167,143,927,309,742,123,719,765,044,625,214,
891,202,061,491,509,406,402,547,941,290,708,558,567,767,974,569,571,748,992,
823,133,987,803,113,817,977,048,503,061,598,447,104,092,748,894,675,294,858,
478,941,865,826,150,550,376,253,829,803,477,943,500,386,804,672,980,256,687,
916,463,848,688,405,783,698,027,734,605,585,426,417,644,778,819,449,512,377,
732,553,497,438,193,505,104,809,409,584,156,258,018,272,818,817,837,466,505,
580,749,949,814,604,449,088,566,707,141,921,893,326,501,130,923,952,702,930,
088,130,033,255,010,149,751,925,893,421,144,889,061,753,994,689,903,839,842,
439,180,051,929,956,840,972,203,058,821,445,637,950,182,067,546,918,891,621,
981,771,014,567,622,093,377,031,000,445,340,460,848,427,929,472,897,480,355,
853,493,435,103,020,684,160,148,821,427,818,451,550,089,432,734,028,871,641,
605,315,205,490,249,571,063,811,299,083,754,969,339,175,091,620,119,971,769,
012,457,604,710,561,135,830,683,719,530,150,488,462,957,301,829,612,397,158,
388,287,537,603,635,007,529,155,814,632,016,542,581,481,938,838,782,740,786,
849,630,136,297,278,417,554,629,704,667,189,437,405,146,694,385,241,882,802,
852,531,197,374,793,766,126,667,739,897,290,025,587,867,195,465,748,466,733,
802,718,121,549,587,388,541,535,557,829,527,755,257,276,634,642,540,784,746,
582,928,587,852,423,026,336,828,298,059,103,223,600,388,341,832,668,479,812,
489,224,600,433,083,823,921,744,218,503,329,085,289,100,946,953,474,511,742,
798,451,517,835,648,564,507,524,006,379,452,631,961,363,582,835,082,617,977,
628,923,840,193,836,668,336,125,981,736,193,517,678,644,658,888,300,890,096,
515,569,610,990,259,917,704,128,384,693,421,738,178,574,251,604,929,001,423,
546,292,080,831,362,447,637,883,513,521,958,865,133,271,865,596,871,008,830,
842,522,924,492,505,490,741,682,895,838,266,227,845,455,866,321,485,785,041,
737,817,631,233,814,545,127,677,532,984,726,407,386,275,345,676,822,978,618,
145,813,655,211,381,870,360,563,965,780,294,391,310,318,421,520,726,345,217,
942,021,907,696,359,913,080,643,202,617,925,136,772,077,173,193,240,977,621,
279,650,391,653,498,762,269,289,077,584,022,302,994,443,577,002,108,950,271,
805,973,162,707,687,053,239,433,993,103,510,312,096,969,284,173,588,114,016,
287,481,457,476,447,052,190,789,297,083,542,811,751,129,802,798,252,717,593,
512,840,555,212,551,352,084,334,640,554,871,432,591,511,547,526,185,821,792,
081,746,448,952,056,712,101,557,716,277,738,081,805,920,583,052,437,329,655,
837,557,502,118,413,806,739,734,558,463,947,780,201,520,605,387,541,400,112,
295,641,197,629,340,326,008,045,439,323,153,997,475,956,973,263,635,144,149,
295,157,192,896,823,682,676,027,902,000,676,048,825,480,036,235,667,321,443,
444,063,672,934,457,253,412,401,935,291,063,902,608,276,146,472,248,227,418,
847,275,515,854,838,527,667,295,763,613,057,045,921,601,802,598,090,928,380,
126,982,406,047,366,132,308,851,840,170,636,347,134,555,366,565,128,814,460,
599,649,578,949,682,370,050,629,401,037,466,727,678,976,793,441,684,440,840,
238,351,172,922,476,768,829,056,233,789,562,988,809,678,086,840,931,148,352,
107,580,523,463,612,600,075,146,432,277,899,393,520,066,038,926,626,583,696,
069,704,366,790,524,963,387,077,819,843,613,630,103,554,324,747,441,733,167,
932,249,502,845,929,556,206,275,717,410,811,735,305,752,269,325,825,696,997,
027,078,715,323,509,760,080,644,452,695,228,323,894,344,749,724,752,893,115,
945,815,749,637,393,154,045,160,818,877,252,276,551,647,546,212,124,892,010,
887,267,892,459,800,304,020,250,843,556,792,634,646,307,634,396,528,008,287,
728,466,427,201,475,750,354,572,936,085,016,213,917,697,289,090,742,149,843,
772,875,995,561,341,363,905,252,540,932,881,212,782,855,617,176,555,870,796,
884,719,163,846,972,556,882,330,487,879,454,409,399,501,657,215,976,033,084,
291,880,459,378,778,387,310,061,026,549,151,919,582,340,399,184,293,108,389,
162,540,012,936,783,588,571,210,545,108,999,553,634,733,206,592,999,620,221,
685,211,526,113,466,961,933,811,054,465,112,721,571,471,043,353,851,952,264,
062,071,895,713,827,186,736,967,360,362,901,176,238,053,268,134,194,155,405,
918,102,918,070,647,220,885,119,132,079,509,791,587,178,520,365,223,366,625,
834,476,475,522,965,389,373,220,020,024,172,635,674,481,986,783,049,500,809,
821,868,812,271,396,334,628,738,633,610,842,886,474,140,876,715,532,134,025,
723,643,662,517,315,719,830,379,465,380,547,209,695,879,705,511,431,477,023,
509,679,292,083,027,544,685,597,782,079,105,345,274,681,445,328,698,081,794,
661,815,950,409,341,128,756,837,858,487,002,744,620,932,745,830,148,926,249,
217,780,611,008,725,559,087,867,881,859,843,093,754,138,257,220,513,202,624,
177,846,102,154,760,830,669,397,314,629,075,274,690,655,734,299,482,001,296,
698,575,802,679,160,425,967,324,506,487,716,716,566,655,220,717,856,289,516,
323,105,168,657,412,752,908,494,291,086,989,258,280,941,463,071,019,693,940,
798,511,392,485,415,980,889,921,881,175,388,721,027,050,568,819,262,700,313,
531,164,774,098,889,344,443,734,948,874,854,973,041,313,599,273,723,642,087,
288,649,143,793,925,739,728,088,389,397,513,978,492,983,553,712,113,795,597,
064,473,248,911,192,268,478,271,071,370,382,734,464,203,675,212,676,906,882,
336,920,689,658,610,721,047,294,758,294,244,021,272,076,929,944,505,831,231,
454,611,946,004,373,615,790,703,383,756,967,130,645,306,467,982,256,634,888,
224,893,776,830,250,090,305,112,559,080,353,230,958,663,855,385,250,677,058,
274,155,611,520,485,836,432,210,947,332,471,318,068,028,532,041,927,472,550,
260,281,555,501,962,181,624,191,088,251,201,543,703,441,580,138,456,962,432,
808,378,204,369,766,584,751,848,404,815,567,632,251,913,874,160,603,167,189,
208,386,955,345,754,111,688,913,959,420,674,409,414,782,288,297,067,351,041,
361,912,263,485,500,351,574,147,820,395,103,013,058,448,627,513,945,522,682,
922,042,984,076,281,653,279,978,672,229,786,956,021,026,133,796,652,119,638,
424,185,777,252,091,534,365,281,464,671,539,800,275,363,096,337,328,276,049,
479,323,354,331,260,164,033,734,010,260,464,256,160,439,892,983,058,275,091,
536,984,582,397,392,276,564,649,369,208,194,580,096,403,773,967,044,091,163,
992,460,393,805,887,262,076,980,326,576,498,866,869,433,368,300,952,048,957,
820,409,811,261,462,736,893,452,015,463,188,158,576,180,265,081,465,226,448,
475,720,725,419,355,671,352,825,748,148,219,507,231,568,567,763,078,665,260,
957,094,768,062,433,314,320,382,714,032,843,458,350,992,243,999,241,465,944,
038,724,104,834,363,731,742,729,681,852,580,297,882,789,110,816,944,934,206,
091,728,614,191,497,485,883,129,039,423,469,902,766,995,549,305,101,078,995,
626,882,563,089,464,584,135,588,431,491,883,292,980,290,811,527,505,372,216,
618,380,098,621,159,331,514,814,508,216,619,754,720,795,520,855,113,893,410,
963,152,282,351,809,831,329,781,286,534,491,101,769,418,784,835,185,989,754,
827,646,778,050,323,518,234,387,626,954,750,105,010,287,536,139,137,271,352,
976,465,871,325,216,270,964,036,535,712,246,718,105,456,942,894,251,242,654,
041,478,549,285,197,268,136,585,559,374,236,216,476,585,167,392,305,103,890,
143,118,550,907,047,230,421,645,467,900,496,578,313,208,985,916,162,359,755,
525,108,464,578,076,896,828,626,412,745,096,529,261,938,331,282,374,514,522,
102,986,248,608,031,406,173,876,989,105,404,237,891,260,417,625,427,449,909,
712,660,319,131,688,949,477,685,837,598,769,111,085,862,310,621,197,013,250,
915,538,200,358,444,988,678,976,957,483,028,665,978,931,105,786,888,500,239,
599,254,186,477,299,789,370,769,343,333,366,745,073,132,357,068,309,412,064,
783,013,991,059,069,421,108,378,894,734,185,782,650,827,384,254,619,285,456,
108,487,743,878,069,184,414,987,246,134,817,455,799,562,450,248,051,251,090,
968,856,833,810,939,189,467,983,031,383,918,664,328,816,528,035,684,257,472,
563,054,768,598,633,827,050,694,941,014,279,281,731,982,873,704,953,250,812,
973,546,460,090,257,004,534,889,516,942,161,351,187,585,265,534,740,986,889,
995,958,073,118,034,476,328,172,193,665,845,071,359,686,081,432,064,054,969,
817,371,583,434,760,414,430,250,164,227,473,850,485,613,066,723,259,722,330,
295,939,854,150,892,002,100,014,239,247,274,336,038,880,125,849,147,128,128,
063,235,547,968,884,367,135,987,896,850,021,457,563,044,696,069,661,137,395,
754,037,375,669,585,679,811,711,401,454,538,113,746,293,358,082,156,864,951,
691,302,778,517,083,008,855,855,364,905,476,611,261,110,097,624,024,694,310,
551,707,427,869,041,164,917,845,966,326,157,221,498,439,543,142,508,904,439,
149,231,940,160,509,097,350,749,478,635,740,808,469,466,606,342,307,458,089,
000,469,181,909,524,356,329,418,923,455,951,666,576,406,710,607,713,613,034,
118,127,574,715,761,196,579,500,765,787,310,852,916,928,576,910,718,062,515,
132,743,988,016,107,356,473,283,772,914,751,948,727,151,719,733,115,150,135,
512,911,454,257,415,116,516,587,734,415,357,679,358,885,511,321,640,295,290,
660,733,925,959,906,678,373,166,986,907,186,357,394,140,540,302,316,053,018,
884,102,234,923,293,162,341,531,818,321,438,512,809,393,129,879,979,589,616,
170,310,409,440,064,515,472,622,448,270,661,569,156,785,767,386,685,880,659,
914,020,179,389,770,496,920,997,146,569,309,430,397,656,300,223,268,752,713,
242,820,288,031,134,626,622,163,177,036,282,080,958,932,627,644,662,719,930,
591,379,251,232,531,301,385,410,008,339,137,766,037,097,699,632,711,384,271,
538,495,878,222,195,861,495,993,122,701,916,741,332,899,665,450,594,228,678,
120,153,701,815,065,182,170,745,399,803,633,761,430,466,568,685,148,732,853,
803,633,671,500,096,273,839,853,781,017,593,755,301,932,553,405,884,084,593,
432,467,720,353,864,935,519,083,288,885,616,138,224,924,211,730,559,172,694,
770,133,483,114,009,983,567,507,507,739,624,821,901,457,107,647,968,933,162,
735,883,419,788,789,091,715,491,104,873,956,526,351,192,023,035,524,216,969,
733,360,334,145,328,144,731,114,900,664,660,813,748,805,187,585,280,733,618,
692,068,833,217,151,953,407,952,740,117,241,291,190,883,306,666,941,708,089,
264,652,810,771,581,508,501,595,948,865,446,031,760,273,002,022,589,445,438,
595,800,464,066,308,851,418,303,342,911,042,958,242,907,043,009,715,178,448,
677,134,889,671,249,075,841,835,028,072,723,680,460,499,543,103,407,559,261,
813,291,814,261,343,994,246,623,084,508,422,545,322,065,679,760,462,580,137,
687,398,923,886,204,863,424,435,254,192,778,914,318,698,503,515,213,014,803,
468,781,809,923,541,733,606,472,707,932,405,566,070,009,391,383,101,433,577,
513,200,853,388,561,471,537,980,125,684,544,101,503,568,165,090,319,207,015,
529,973,196,486,120,686,305,475,694,592,366,223,336,440,830,023,429,378,011,
548,985,440,309,038,804,923,626,689,067,845,201,371,002,649,536,401,667,081,
506,770,792,542,332,522,601,210,129,447,729,417,720,012,075,521,832,506,794,
881,645,243,414,639,481,127,158,734,118,185,680,052,981,259,644,847,577,912,
226,650,048,015,508,213,996,461,704,284,382,957,457,683,995,751,675,802,903,
130,158,530,366,218,894,309,224,569,679,271,146,716,524,123,763,167,073,584,
026,078,297,171,006,290,167,303,138,661,522,240,684,632,553,404,477,751,818,
445,784,184,787,905,327,389,019,043,810,480,347,916,137,966,424,830,811,213,
793,864,101,389,631,324,368,606,330,687,256,038,133,556,186,594,689,350,036,
308,084,880,960,437,926,687,912,936,156,801,979,923,385,150,692,270,614,222,
112,700,226,894,289,959,100,393,019,635,122,650,954,242,399,377,831,143,510,
355,051,795,217,486,847,031,125,089,958,265,132,237,709,267,351,032,104,111,
481,618,247,729,592,908,662,558,247,884,394,478,643,852,891,874,626,752,436,
114,895,668,955,876,298,565,928,449,621,883,340,146,726,383,357,003,062,440,
870,615,357,836,437,249,836,293,286,759,811,798,033,762,521,325,309,260,038,
010,497,488,248,448,071,918,918,029,226,250,472,557,271,257,763,713,550,825,
376,924,977,028,652,189,114,692,936,903,933,733,275,925,998,680,999,722,891,
578,013,811,434,067,804,908,168,009,674,222,310,356,011,035,709,052,211,749,
302,886,829,397,098,629,898,191,276,739,119,673,268,736,495,979,692,601,707,
573,595,894,682,286,768,298,735,078,499,328,849,004,091,057,166,029,759,129,
700,786,623,257,993,817,962,458,249,024,345,790,583,272,502,343,882,267,590,
946,847,548,059,338,399,044,743,973,119,140,555,838,357,152,262,981,456,702,
209,349,830,385,395,896,441,789,491,376,199,489,997,062,641,121,593,178,860,
019,925,626,766,290,726,280,690,173,877,940,746,466,736,391,212,983,819,400,
531,658,267,549,833,732,725,281,781,557,960,024,693,383,824,222,214,258,678,
472,776,211,582,522,994,028,655,464,122,335,388,810,121,181,564,788,115,378,
403,296,063,788,927,462,244,035,486,349,160,909,162,419,877,494,402,302,719,
793,146,756,985,515,039,797,664,626,322,975,657,148,329,290,254,499,668,594,
427,394,316,371,747,451,419,859,998,364,966,084,772,201,919,856,387,300,301,
300,652,304,444,809,400,704,379,529,927,414,100,865,607,656,335,858,387,541,
725,824,084,780,203,837,123,515,594,665,395,070,849,345,955,044,455,787,082,
095,511,811,075,212,458,951,342,313,994,661,452,870,629,816,808,829,025,282,
802,621,819,093,859,956,847,462,212,133,517,535,381,937,229,025,743,909,729,
748,577,315,988,942,180,225,685,046,668,450,991,963,598,734,706,987,733,789,
141,804,372,281,964,871,082,925,047,600,347,290,921,448,768,025,337,986,754,
413,129,670,212,932,013,539,334,936,471,555,354,191,422,503,712,132,426,889,
075,915,020,068,838,441,919,371,957,865,190,517,303,875,789,361,984,415,664,
974,376,334,929,097,616,679,283,012,817,309,233,476,005,183,896,567,967,704,
000,971,606,021,972,670,183,821,166,172,185,066,400,746,677,817,919,665,908,
587,563,331,156,162,801,695,002,976,317,223,661,421,720,775,101,442,787,446,
157,970,696,434,021,742,345,930,958,879,156,408,047,111,272,970,038,861,519,
317,825,897,424,172,275,421,678,794,493,709,697,343,343,435,926,678,184,817,
012,769,344,512,209,042,494,408,269,698,733,879,549,676,657,193,533,366,964,
554,163,776,783,114,154,997,966,914,350,448,981,374,063,085,779,802,920,356,
563,063,907,967,278,349,345,927,315,431,200,222,043,460,308,353,534,324,308,
968,799,502,617,909,443,131,896,870,723,748,140,170,405,347,843,938,934,710,
402,823,357,420,959,122,860,910,644,958,380,878,286,802,735,278,873,991,775,
349,906,654,261,712,133,606,695,974,139,505,733,442,818,148,929,529,411,327,
107,814,182,822,964,844,532,813,865,682,679,307,228,801,986,661,686,774,334,
434,767,175,087,884,774,443,045,416,723,142,024,980,646,091,102,976,869,464,
991,182,899,108,526,541,655,979,198,213,787,413,117,427,304,668,132,325,265,
173,335,756,433,674,680,513,923,784,104,821,848,758,078,929,387,093,550,933,
698,125,467,678,433,004,321,948,663,036,949,152,698,569,113,151,631,945,807,
656,272,112,296,069,815,370,292,386,972,164,569,533,077,421,572,195,044,598,
471,347,900,702,213,351,161,197,265,593,492,991,184,760,524,818,072,318,376,
417,174,248,404,198,607,590,690,314,453,135,060,599,686,370,275,412,223,586,
107,463,560,458,541,116,255,786,015,673,480,256,322,328,499,271,442,707,287,
560,353,993,807,420,694,645,179,927,003,455,766,403,075,962,225,314,054,369,
468,242,171,929,840,219,266,869,929,462,166,351,905,139,223,709,748,488,062,
531,998,464,968,266,106,744,470,837,204,599,626,752,772,539,840,016,339,485,
724,165,327,120,676,249,604,319,770,529,066,297,375,653,138,464,519,698,731,
899,181,758,644,462,080,719,480,465,611,187,168,192,779,069,599,670,808,971,
787,604,530,093,806,613,145,582,298,872,933,215,692,956,510,442,969,498,906,
171,189,079,089,406,700,268,516,550,394,090,734,838,878,296,171,409,519,745,
064,394,303,864,120,271,742,975,108,995,282,402,005,907,408,516,748,032,534,
857,051,029,573,576,735,109,261,277,380,158,831,069,961,644,288,754,000,423,
069,113,896,106,688,644,723,916,139,026,809,917,443,554,743,106,044,596,297,
950,271,517,181,507,318,671,546,872,649,162,351,424,538,998,008,119,466,650,
773,343,403,092,283,739,218,584,027,980,469,478,795,437,434,378,185,414,493,
540,560,700,087,007,711,088,332,067,505,045,055,522,214,524,427,737,987,967,
857,272,740,725,238,106,707,850,923,254,701,051,500,563,568,696,486,424,119,
816,281,016,371,310,907,528,397,800,329,270,924,211,055,859,024,993,982,331,
072,773,662,060,623,175,671,739,239,277,902,594,046,305,550,052,008,447,814,
908,798,820,925,911,606,414,873,413,303,624,563,512,936,397,937,218,734,242,
815,816,549,839,560,625,677,089,525,823,501,687,570,499,176,917,428,989,863,
424,839,833,998,975,907,814,964,272,384,185,216,030,832,146,155,625,949,292,
112,557,033,614,473,749,913,517,360,783,751,521,802,080,862,660,786,732,000,
778,766,834,566,028,567,288,090,720,851,305,172,099,885,353,553,483,211,402,
599,924,146,499,304,923,518,954,269,162,187,837,018,948,117,954,653,371,264,
997,833,727,177,506,288,777,860,752,271,809,662,349,078,797,070,885,351,981,
085,335,720,964,835,667,668,127,454,073,903,435,343,684,936,633,659,386,305,
042,596,200,511,729,615,514,497,358,452,657,995,976,147,135,393,102,644,887,
631,691,075,845,226,131,676,667,710,218,799,836,651,975,099,839,685,190,926,
273,935,680,718,432,015,399,602,675,621,285,912,642,429,465,597,122,268,986,
227,961,264,813,831,640,338,194,478,192,827,842,434,389,793,593,661,367,149,
115,613,857,840,496,519,956,885,543,081,624,211,881,504,820,204,795,553,001,
344,621,414,788,116,820,815,474,823,568,775,947,461,906,136,547,353,257,512,
558,676,037,389,274,261,689,755,719,917,682,626,241,199,272,920,570,370,322,
313,253,392,304,403,117,594,863,601,695,452,493,641,467,108,438,967,877,697,
610,807,303,198,867,804,983,702,802,080,132,239,719,400,459,171,752,652,581,
763,679,807,940,368,021,840,293,420,763,297,417,778,632,059,988,444,071,864,
798,030,838,083,679,455,042,569,107,032,107,276,024,527,629,311,719,840,081,
671,912,111,667,834,284,071,602,633,516,919,406,429,449,983,455,440,027,274,
545,677,773,965,077,850,308,912,584,534,052,473,428,988,602,854,920,661,338,
076,655,417,406,107,290,993,139,485,732,716,261,988,206,592,919,545,208,591,
187,699,936,139,410,116,634,656,135,730,160,495,276,823,391,033,359,907,312,
095,282,200,726,092,161,609,145,200,226,174,415,573,846,609,214,053,233,712,
375,819,697,028,919,629,917,372,857,569,208,838,542,041,940,569,540,445,249,
646,302,831,559,494,583,337,723,229,439,239,433,537,964,795,154,180,539,366,
656,593,831,482,901,177,362,741,624,482,843,826,622,324,536,375,846,524,177,
772,898,940,500,369,051,172,509,038,708,663,511,404,171,503,079,530,299,530,
111,522,129,098,125,901,955,628,630,615,602,503,274,999,001,647,324,727,154,
813,840,197,133,737,336,177,914,687,173,277,326,774,077,784,102,819,890,088,
969,548,201,312,992,953,243,416,317,902,536,849,941,588,080,455,531,238,753,
727,867,169,375,363,742,494,142,486,956,693,937,335,567,073,045,661,103,398,
313,037,026,923,726,117,026,737,740,763,950,267,214,345,291,847,852,639,759,
463,804,741,061,215,682,860,504,076,889,647,582,963,127,506,471,343,345,255,
855,671,222,011,563,750,155,173,693,434,708,236,312,801,803,588,392,620,306,
721,871,880,833,675,432,505,602,745,477,013,356,766,080,859,106,455,781,156,
933,293,620,576,390,221,722,747,104,319,299,436,584,539,031,372,558,142,525,
777,850,734,310,403,020,664,706,477,154,079,020,746,562,183,597,774,412,246,
963,188,535,041,218,895,541,631,663,951,504,543,979,817,231,048,241,656,133,
417,267,544,778,370,496,043,680,313,062,208,320,534,129,053,977,330,748,712,
548,253,406,744,545,875,209,045,202,307,894,679,456,840,310,382,631,597,748,
701,223,107,793,216,045,875,622,464,362,465,918,869,048,056,824,990,536,784,
877,205,814,949,407,248,295,581,994,340,805,422,580,037,782,506,946,203,506,
465,280,272,861,506,012,532,071,789,195,791,910,232,095,684,113,248,709,571,
673,160,307,025,407,854,769,474,566,109,000,421,568,860,261,115,605,052,473,
716,592,898,255,198,689,297,167,380,559,777,940,684,281,391,213,392,308,684,
253,933,538,264,695,899,719,072,817,000,979,093,382,234,754,827,774,977,423,
597,641,793,512,299,776,969,761,426,772,089,107,771,635,888,113,832,959,638,
051,822,012,668,665,200,654,640,767,203,036,605,954,012,507,775,136,176,974,
342,611,666,482,215,460,976,980,032,356,288,890,158,493,542,844,621,345,508,
875,010,809,663,181,746,736,860,367,854,708,013,000,550,442,449,641,452,379,
684,814,180,425,560,836,136,596,783,475,196,922,530,244,499,458,246,672,539,
021,372,802,201,015,777,140,312,695,649,760,781,947,032,767,241,128,659,848,
286,672,701,873,015,220,907,383,957,526,616,421,894,020,013,015,576,418,236,
300,302,250,286,250,925,615,528,723,258,709,472,429,242,654,055,234,704,315,
598,524,283,095,886,950,075,439,421,117,276,905,879,327,771,351,159,256,568,
318,039,673,267,449,075,953,735,419,872,059,312,591,333,075,969,128,662,281,
615,359,723,922,524,374,396,708,724,849,086,866,508,137,844,754,629,786,559,
913,818,677,654,649,554,775,793,141,060,014,362,218,511,237,225,060,039,121,
246,206,875,258,569,451,286,251,464,259,520,486,697,324,096,740,120,501,983,
844,729,549,727,555,664,676,329,546,447,392,097,361,653,451,174,107,143,693,
420,712,989,511,286,779,998,303,521,739,668,929,216,758,198,340,464,528,316,
003,683,946,778,820,050,569,592,786,751,672,698,074,312,941,357,962,332,190,
165,946,865,333,226,742,393,144,981,057,223,329,708,449,909,370,953,627,711,
187,314,456,466,788,603,401,092,875,843,130,808,037,877,455,318,059,623,728,
216,662,545,537,534,176,543,059,337,066,360,826,922,755,878,037,671,584,251,
203,356,315,982,339,656,195,803,228,348,871,868,232,456,712,462,454,298,175,
101,726,957,425,426,982,879,560,320,400,619,168,836,620,134,962,560,915,316,
538,350,422,142,965,716,530,120,945,093,445,163,500,077,447,367,283,655,217,
270,949,193,091,987,278,685,651,530,111,793,827,097,908,936,376,778,453,306,
989,489,502,155,453,375,333,788,054,115,760,238,962,755,989,789,038,758,284,
763,975,632,606,658,835,992,680,624,281,667,754,741,951,893,890,157,875,579,
087,782,494,534,338,892,952,426,464,272,777,556,554,943,671,745,496,036,226,
149,456,062,067,444,951,089,433,094,855,809,806,505,701,091,122,245,320,462,
377,743,478,144,691,061,869,025,944,805,573,550,190,101,678,148,190,470,248,
579,822,231,894,920,905,952,910,885,690,735,545,500,863,389,968,227,710,628,
698,755,607,277,250,401,874,164,112,415,606,739,953,304,686,347,542,049,462,
908,518,073,061,245,893,757,425,441,159,542,912,470,037,770,049,746,307,414,
380,501,806,931,624,637,400,885,685,642,156,173,621,987,960,867,322,354,356,
791,719,300,056,311,049,384,607,775,118,457,235,921,373,025,730,071,966,613,
840,954,986,480,210,819,764,134,262,175,293,046,858,913,562,159,369,861,110,
744,732,180,019,243,250,486,988,714,218,744,431,877,634,082,011,170,409,986,
126,560,435,343,638,848,905,119,072,090,608,762,294,259,360,583,308,625,331,
913,285,589,194,345,396,296,435,517,231,400,342,970,478,607,178,150,297,616,
091,697,439,513,341,857,145,927,140,467,272,414,079,970,179,348,661,160,003,
347,536,852,030,556,667,299,367,657,114,252,833,788,009,186,326,099,008,771,
461,410,658,701,327,656,706,446,437,191,921,288,837,440,711,445,001,757,370,
615,160,828,315,498,504,078,395,577,393,992,115,898,732,053,442,065,559,302,
761,321,762,372,338,665,150,129,799,322,421,659,005,068,049,655,783,871,373,
928,339,032,936,175,788,181,420,283,856,539,339,684,517,196,128,876,681,002,
966,812,578,789,046,854,680,789,967,844,829,639,537,076,071,059,905,830,442,
119,993,994,177,270,931,099,559,706,406,949,463,346,954,932,243,924,926,378,
007,453,147,486,577,495,562,857,650,578,500,202,777,570,654,393,390,711,549,
226,588,619,383,757,566,354,467,562,806,881,784,064,857,292,878,798,630,787,
889,545,550,718,989,888,945,256,415,436,451,572,938,954,901,040,367,399,759,
698,343,099,775,745,779,199,403,240,951,886,044,674,164,511,986,737,793,178,
414,724,831,865,199,097,609,595,776,256,060,568,140,921,864,204,403,419,565,
198,427,703,048,736,769,884,391,265,656,771,608,688,265,070,816,628,826,422,
065,223,246,898,038,553,538,154,167,381,124,802,731,656,244,855,769,756,510,
780,227,462,850,703,776,923,290,740,895,893,355,711,774,767,374,261,415,368,
609,487,359,700,372,452,157,303,693,981,460,600,815,969,655,246,238,661,309,
790,729,686,544,487,970,639,893,729,922,077,764,309,268,683,582,206,355,771,
587,827,416,225,811,021,346,760,854,742,357,286,191,731,478,559,193,755,830,
660,063,235,150,726,788,774,021,623,694,061,382,900,425,938,572,206,972,391,
504,771,028,713,181,648,018,772,164,352,000,388,212,868,940,160,788,723,695,
037,170,122,574,355,897,536,627,281,251,745,915,095,463,152,469,710,896,901,
495,949,480,730,997,197,828,079,881,598,032,480,851,146,979,436,505,947,124,
065,255,870,831,770,749,087,369,456,605,282,678,179,995,032,683,384,696,740,
058,590,115,507,108,746,868,934,247,651,785,641,658,132,729,519,662,592,874,
376,578,058,089,841,756,697,980,355,325,496,952,368,864,365,303,808,593,896,
916,467,517,835,091,535,091,359,381,471,219,319,721,850,351,231,329,678,856,
168,547,995,109,320,729,784,591,505,697,964,660,933,205,541,434,352,550,990,
362,887,881,857,563,016,935,039,544,565,382,517,522,335,724,850,019,525,717,
333,050,579,080,259,282,059,487,065,683,368,497,174,034,235,831,763,258,378,
358,828,896,634,890,285,007,079,125,322,643,010,960,536,744,915,556,328,220,
585,541,980,154,285,037,599,028,999,109,454,252,034,270,173,360,124,984,003,
566,590,264,307,602,563,706,660,768,273,168,539,495,250,147,302,653,043,187,
128,835,913,574,408,684,730,951,096,058,649,447,057,392,827,510,971,081,875,
662,165,138,200,266,197,369,703,266,171,054,210,726,219,234,762,204,179,423,
073,334,164,022,555,650,134,847,473,197,113,338,163,493,664,865,784,303,136,
832,612,949,706,114,201,982,165,496,145,055,894,060,844,073,760,348,082,956,
563,378,320,190,295,654,237,751,492,338,460,346,945,206,948,292,320,691,516,
493,732,514,714,662,481,206,272,868,097,370,852,847,780,531,391,300,240,528,
332,327,291,157,062,261,680,658,444,706,914,655,196,279,738,704,900,942,524,
942,616,213,862,517,650,233,057,526,346,453,409,566,946,713,625,357,402,576,
961,268,086,981,978,158,237,640,969,165,879,791,918,855,339,185,907,322,075,
346,838,983,237,627,449,913,288,650,868,140,201,250,578,759,032,690,964,832,
768,876,368,757,578,660,014,313,443,741,488,692,599,941,100,111,310,424,460,
934,976,734,948,190,669,968,940,141,855,547,107,958,880,014,859,964,897,197,
605,446,424,442,884,325,169,026,473,644,364,431,894,425,812,822,824,969,205,
126,476,523,488,415,860,320,758,064,952,032,959,046,724,607,851,188,257,377,
222,613,445,335,219,756,103,900,025,132,319,181,178,813,855,863,086,383,497,
792,732,680,605,832,427,748,272,052,509,308,121,291,662,804,470,840,167,714,
084,481,483,099,321,668,027,991,866,513,910,825,495,805,826,195,818,711,531,
983,548,159,505,748,872,490,324,226,104,143,983,633,383,161,529,236,164,218,
475,156,084,538,929,420,141,547,789,481,587,598,847,292,877,741,889,321,351,
048,812,911,291,149,631,808,438,247,081,350,184,034,891,473,798,682,669,814,
740,193,574,868,478,260,556,002,901,013,279,575,550,727,068,466,935,304,926,
852,178,766,684,422,121,964,632,129,302,835,787,659,829,103,335,702,270,589,
170,657,271,164,827,370,558,110,903,431,829,619,079,548,628,274,963,251,399,
934,588,619,097,708,781,519,323,051,413,307,550,622,108,757,779,594,916,062,
881,873,714,989,291,341,466,130,242,015,995,336,747,895,894,424,795,111,480,
061,729,120,270,543,443,628,504,205,232,124,316,165,701,595,859,126,945,711,
168,541,447,383,839,005,616,397,638,343,478,054,940,679,070,018,087,107,374,
995,718,516,754,117,998,754,934,661,337,980,616,196,244,475,210,178,021,274,
161,240,255,666,834,286,841,797,678,298,507,596,505,780,109,928,890,157,180,
479,064,247,243,846,459,316,177,163,088,654,397,304,209,521,447,329,444,999,
100,993,920,681,217,991,137,084,561,581,640,173,856,029,654,629,796,347,693,
908,372,144,665,245,813,460,607,794,546,980,653,340,795,632,377,699,765,665,
866,680,406,963,365,108,751,834,294,454,966,474,221,388,597,004,169,096,850,
543,145,894,428,459,616,596,032,020,535,992,299,332,300,590,691,538,632,856,
695,894,974,500,234,239,137,738,978,477,304,575,541,794,252,945,539,880,321,
738,377,301,263,813,286,643,871,448,878,797,710,410,320,939,919,561,957,221,
135,978,099,580,345,122,935,388,105,714,500,914,704,960,920,788,197,329,290,
146,778,983,353,914,156,335,074,587,302,622,040,034,913,922,710,152,316,999,
711,351,859,733,160,456,647,349,484,656,614,017,813,574,731,618,990,984,925,
904,939,920,436,768,325,179,203,292,487,465,758,899,284,860,158,287,300,077,
143,277,353,397,960,675,187,133,384,221,460,587,898,466,419,943,034,145,881,
171,456,178,108,334,383,004,603,771,006,843,052,224,291,950,559,411,995,892,
603,836,596,992,525,223,179,446,932,672,340,038,284,884,130,652,755,310,293,
450,625,154,143,756,051,761,716,259,116,392,874,339,174,614,964,686,640,468,
132,180,016,331,078,229,624,191,851,384,577,954,227,139,881,521,439,353,839,
261,695,132,868,640,777,910,168,535,711,259,769,255,435,737,334,324,357,198,
262,845,744,648,251,393,881,923,054,273,889,000,532,841,139,631,066,364,067,
056,494,727,972,866,521,734,464,947,718,998,444,086,642,079,111,282,128,580,
328,253,494,532,606,663,594,189,985,262,032,582,893,790,444,420,099,377,993,
843,746,545,171,720,186,777,626,719,168,535,455,429,266,276,740,265,142,610,
594,420,211,838,106,419,049,629,144,471,447,534,967,155,410,069,727,525,634,
699,106,553,995,084,361,210,047,742,376,068,324,905,992,666,378,946,729,997,
753,134,562,713,088,564,840,055,529,018,472,723,326,432,226,660,418,247,732,
337,687,132,726,308,306,605,486,080,986,953,761,046,647,222,985,293,899,900,
207,177,154,464,789,631,686,396,743,989,955,459,558,538,710,001,160,737,953,
097,675,146,150,043,112,329,214,601,379,181,230,588,183,658,283,044,673,697,
520,858,021,054,740,476,167,565,683,823,218,370,293,301,144,520,026,821,733,
330,869,761,119,395,352,599,715,671,013,675,444,730,762,833,130,970,121,230,
060,313,377,232,716,128,614,799,538,257,185,992,869,445,856,030,819,869,307,
165,118,789,123,419,503,783,011,006,214,116,689,935,220,193,148,185,153,959,
055,595,820,247,175,138,176,426,908,560,082,824,501,790,045,082,062,663,503,
848,621,168,613,392,631,158,343,686,913,641,647,276,525,877,500,444,134,401,
903,247,088,787,297,276,557,600,608,362,905,298,651,659,193,148,916,957,920,
242,323,122,208,163,293,966,284,061,740,171,732,428,841,576,653,274,701,052,
746,156,682,249,447,150,852,916,312,738,013,591,220,404,506,574,868,555,954,
259,755,764,317,746,404,516,140,030,917,518,296,641,502,968,086,583,310,453,
982,915,240,320,342,103,039,284,136,466,148,085,334,797,990,596,008,279,446,
415,309,603,787,004,080,922,736,714,715,062,742,869,736,587,577,430,220,450,
303,836,462,557,423,267,945,677,837,738,642,464,124,689,420,823,044,713,696,
955,637,388,658,761,115,866,465,551,712,450,101,689,807,436,933,874,977,955,
144,314,083,531,122,252,209,235,696,422,275,704,167,723,300,086,606,635,544,
983,059,807,860,560,539,974,743,151,907,313,201,378,531,470,688,760,231,013,
532,803,113,534,007,874,155,662,532,382,985,296,465,377,502,952,846,845,224,
148,632,139,269,569,826,636,267,736,744,160,304,209,853,984,403,342,808,553,
860,958,841,647,649,379,017,811,893,772,934,468,557,932,879,495,528,214,895,
230,543,496,183,663,014,928,902,997,078,051,716,704,782,761,018,008,112,930,
229,691,395,559,932,509,478,710,418,745,248,482,227,421,894,422,920,390,466,
142,737,559,415,779,653,122,711,160,087,774,987,811,355,241,111,532,442,980,
806,596,694,459,024,421,414,801,164,439,310,618,825,560,852,403,892,479,160,
738,877,434,609,052,254,440,119,293,395,697,751,770,742,410,694,680,407,715,
459,463,611,612,143,487,609,155,707,500,316,679,809,113,130,301,793,773,117,
735,282,411,685,482,784,158,817,302,558,362,074,895,979,433,642,634,870,210,
241,375,269,898,266,162,125,004,232,287,286,927,732,489,898,019,296,514,317,
710,888,299,404,309,767,001,066,946,756,796,464,783,064,596,359,032,920,298,
233,676,936,097,777,244,398,207,534,834,026,854,821,132,458,735,825,148,967,
855,018,760,285,945,155,344,013,228,911,241,432,080,923,563,815,332,685,946,
426,167,399,421,792,826,325,533,898,803,541,518,434,329,534,074,410,375,505,
751,054,011,081,600,085,356,089,380,155,750,018,421,921,753,828,891,694,172,
989,699,748,239,325,387,922,354,250,468,170,007,785,623,898,939,321,445,530,
902,741,022,146,916,613,561,461,634,848,588,946,897,750,277,179,494,457,909,
586,261,437,584,367,803,898,493,319,952,589,237,086,695,137,578,740,118,667,
927,902,814,118,363,518,900,952,099,735,359,556,252,296,977,967,202,509,056,
541,499,701,734,693,007,553,840,884,603,696,696,778,247,104,219,258,656,959,
985,213,536,225,747,812,321,530,869,302,554,305,341,306,069,899,075,955,364,
090,978,716,724,370,842,529,893,130,100,852,474,571,035,324,210,039,483,224,
066,663,308,336,423,121,727,067,509,427,631,149,631,287,754,996,080,148,691,
556,542,632,368,813,676,541,339,916,446,036,195,378,181,905,408,783,409,922,
496,043,094,992,628,574,098,707,612,513,837,857,336,261,512,262,131,203,807,
800,236,757,070,392,096,693,264,771,992,951,451,915,717,965,147,485,629,228,
106,634,291,105,592,723,301,750,035,985,643,391,355,560,842,748,945,760,698,
187,621,131,528,152,495,270,418,033,922,404,444,640,976,065,763,963,998,719,
159,769,951,249,351,281,482,243,691,362,442,391,436,315,919,608,035,503,086,
574,329,479,452,988,915,530,120,495,449,444,971,109,380,161,330,849,226,224,
268,021,860,206,323,865,425,025,277,513,321,555,135,747,603,038,693,401,511,
094,496,053,711,385,685,550,470,761,370,215,525,615,542,916,114,124,661,103,
186,901,530,173,514,405,508,554,325,170,525,970,013,547,377,218,041,492,606,
063,120,255,368,529,212,632,659,616,830,633,577,055,246,732,470,159,631,794,
251,348,049,491,563,087,046,418,274,331,947,840,363,457,063,730,855,076,436,
455,084,156,178,784,115,104,911,769,416,829,639,343,946,085,844,841,282,358,
799,923,629,438,078,520,335,859,947,002,646,517,746,611,632,213,680,380,618,
626,398,415,915,913,311,568,434,287,185,984,803,427,395,608,919,258,130,018,
471,654,341,713,788,224,628,933,521,162,863,537,004,144,897,784,123,617,064,
892,516,091,385,444,927,604,691,965,187,277,841,252,990,719,645,189,619,884,
310,397,949,848,294,383,030,217,515,895,403,842,522,774,483,572,262,664,374,
707,243,632,647,537,947,589,947,824,296,971,231,061,221,706,309,875,300,394,
573,074,044,171,495,595,448,926,133,375,776,454,822,531,475,854,932,461,373,
800,757,149,844,105,151,772,268,136,202,177,979,825,401,220,948,827,106,289,
575,270,927,270,700,742,446,933,331,678,746,327,878,599,863,944,837,609,411,
221,031,737,867,383,859,192,550,012,467,043,326,373,152,386,318,604,694,265,
513,484,578,375,737,505,983,113,148,791,685,716,955,233,910,835,875,572,967,
250,101,530,448,592,693,600,182,488,610,757,122,458,044,028,129,287,238,178,
605,542,678,725,202,888,637,149,713,590,719,065,695,276,770,275,771,543,811,
402,916,182,333,921,498,960,613,165,945,184,906,362,971,061,622,654,137,236,
686,745,815,361,494,345,481,374,471,446,720,869,194,761,333,995,973,666,476,
767,205,674,458,471,481,684,975,772,500,412,811,797,073,043,681,359,928,674,
440,287,475,708,289,872,236,166,602,208,022,055,332,542,736,336,608,823,348,
540,756,422,996,783,715,718,114,485,083,205,443,255,895,311,766,744,687,139,
998,814,646,899,169,330,642,609,337,534,446,070,132,064,642,057,430,145,190,
927,133,310,495,019,846,290,471,938,745,729,066,188,099,177,465,852,978,520,
831,643,394,829,711,212,972,572,196,044,585,918,775,584,283,439,530,311,282,
940,741,314,533,767,147,892,105,621,347,484,693,192,733,252,460,635,606,064,
856,857,769,601,094,051,395,415,333,007,000,378,785,756,532,914,806,247,800,
235,127,348,604,601,428,525,971,896,391,089,914,051,595,758,967,112,371,147,
244,481,821,353,924,860,327,491,900,569,631,811,280,160,245,433,173,127,554,
719,488,018,101,222,186,326,440,723,902,887,855,692,362,649,057,152,374,960,
832,905,286,180,213,494,922,989,666,612,124,699,011,854,288,360,916,333,243,
526,329,177,019,114,190,872,893,169,675,185,285,963,991,264,443,548,868,363,
715,029,495,618,739,675,136,385,355,138,282,223,942,194,809,649,850,871,254,
722,614,066,672,271,974,200,212,864,602,238,326,850,994,510,720,684,772,220,
609,889,995,405,237,407,921,273,507,270,651,272,290,455,120,760,937,156,464,
324,607,230,835,879,742,934,807,227,014,818,938,769,501,114,463,567,622,484,
262,948,439,521,828,679,904,430,833,172,514,384,983,494,120,842,223,654,655,
547,505,490,918,062,584,195,134,581,862,804,492,910,097,750,845,101,134,364,
880,552,498,895,206,892,088,527,718,892,374,387,713,051,689,177,126,630,519,
323,261,992,807,562,393,738,525,539,161,245,060,389,934,187,216,938,487,584,
031,265,640,986,568,860,851,722,307,177,125,045,467,970,630,844,696,439,379,
404,232,412,176,421,494,854,654,314,517,013,551,320,959,364,823,653,017,662,
036,875,326,278,117,318,818,290,604,378,133,602,057,293,185,467,793,405,523,
888,243,477,070,654,013,692,556,464,025,952,925,276,190,233,907,215,935,817,
156,300,540,565,282,610,349,181,168,241,291,547,237,986,678,795,405,864,537,
860,207,177,328,764,658,189,631,777,059,540,758,038,752,575,179,890,068,573,
452,456,778,476,434,493,454,576,480,496,237,593,468,606,213,243,436,065,173,
835,128,296,977,340,930,687,569,311,623,693,052,265,982,585,503,210,678,000,
468,517,565,871,318,671,339,805,805,074,422,064,776,577,829,551,790,845,852,
055,568,433,333,290,178,086,427,830,169,474,081,410,301,784,696,850,085,399,
574,554,727,142,017,562,611,743,431,816,674,931,255,661,952,897,472,291,911,
739,855,762,721,492,959,973,634,922,241,612,304,318,708,912,961,803,668,703,
220,551,221,668,861,775,614,723,604,740,980,347,106,404,569,924,209,667,322,
695,332,969,164,547,332,632,373,323,824,634,495,381,355,997,659,404,809,681,
086,786,309,936,243,334,272,203,048,296,969,775,897,398,901,323,587,871,342,
905,848,337,170,550,910,931,775,000,507,273,003,959,632,813,092,899,025,087,
233,486,576,553,407,888,395,003,914,363,181,595,455,830,285,261,441,024,438,
683,370,377,682,954,378,941,403,259,929,368,234,188,123,523,858,980,773,624,
095,378,935,211,765,332,235,878,092,252,983,582,525,921,267,488,297,395,283,
679,137,158,437,393,353,383,699,193,797,953,820,297,805,759,840,055,777,410,
145,574,932,526,584,263,832,403,937,255,658,165,389,319,605,484,876,297,650,
025,687,821,295,105,161,022,877,010,774,592,361,697,610,930,216,525,094,348,
816,622,047,124,008,247,682,821,001,826,053,110,387,373,165,757,229,708,352,
763,848,714,692,800,892,193,733,193,930,272,422,703,836,078,400,366,809,206,
349,291,854,762,717,429,555,950,350,941,524,577,014,380,685,306,350,543,042,
819,611,868,215,450,323,466,066,407,043,628,262,383,253,974,310,683,323,245,
083,150,316,147,060,750,001,010,439,124,636,001,614,078,959,145,639,680,618,
867,735,839,779,014,574,578,921,813,158,535,797,341,518,644,335,887,287,310,
434,142,110,921,520,260,592,304,836,348,095,320,411,759,360,894,090,745,562,
474,540,974,580,021,407,374,848,878,635,499,018,385,045,141,491,323,705,464,
699,379,915,301,516,945,065,205,348,125,302,631,665,408,887,827,484,917,326,
930,253,546,748,336,750,864,538,874,890,763,540,071,374,057,258,846,751,178,
274,504,753,702,728,567,599,114,191,058,626,730,219,902,058,341,860,282,964,
286,727,581,688,914,777,077,694,559,621,295,675,346,462,870,084,995,841,238,
551,848,095,203,067,208,134,077,338,687,189,959,669,981,137,306,741,194,507,
756,914,301,136,090,804,920,305,029,190,455,380,478,150,675,661,997,166,196,
110,891,566,461,930,563,663,709,941,973,748,062,351,408,648,087,345,362,966,
827,231,758,604,308,815,780,566,934,963,688,189,722,643,661,289,508,987,833,
457,683,566,735,763,733,522,449,235,948,497,504,120,741,498,856,142,047,119,
688,488,422,071,163,986,114,617,732,871,649,680,527,167,869,279,840,423,438,
118,423,690,419,692,821,332,872,466,665,494,435,383,773,402,738,095,942,037,
042,307,766,347,742,224,018,535,222,450,523,024,502,496,496,713,060,589,307,
200,369,436,084,413,549,392,715,266,821,745,654,535,208,837,413,934,997,857,
987,993,301,015,752,048,066,200,938,484,414,941,882,411,770,938,437,379,117,
198,717,308,747,631,462,310,397,407,958,427,861,534,620,541,495,754,013,459,
418,167,007,039,935,353,025,238,835,291,647,808,042,180,293,351,585,291,838,
260,264,338,155,792,257,177,201,889,797,590,696,239,681,111,130,694,252,205,
459,468,648,380,049,179,172,544,799,005,560,260,049,595,562,309,774,900,128,
790,082,232,709,321,387,946,368,722,399,519,048,242,117,513,191,946,271,667,
554,793,380,555,396,844,597,977,085,763,991,386,529,938,046,062,035,252,793,
904,259,115,815,524,405,518,238,600,284,533,929,402,002,013,816,486,686,739,
807,571,399,256,917,575,702,437,935,743,174,350,916,306,652,387,644,673,354,
193,931,106,359,458,949,403,287,815,681,959,746,044,659,951,267,210,699,241,
323,045,598,997,702,380,686,794,673,474,639,387,546,511,916,000,741,514,819,
589,931,054,410,852,668,924,300,517,478,892,261,996,628,707,504,176,521,424,
617,990,628,762,086,890,814,232,591,215,513,750,471,381,761,221,900,702,660,
448,820,063,750,750,332,347,017,970,828,306,977,356,128,531,142,702,804,794,
050,723,336,018,890,744,675,533,159,690,418,278,524,151,429,756,727,559,554,
500,000,524,521,868,990,895,908,097,659,205,196,319,676,406,066,820,839,243,
629,071,627,895,334,252,721,748,895,757,173,673,678,551,952,832,958,598,654,
054,581,058,124,840,747,596,871,916,362,368,924,734,177,079,919,658,520,333,
709,584,352,524,514,622,898,949,080,134,886,934,441,805,071,459,560,878,304,
564,299,755,713,486,480,788,581,398,330,974,109,527,540,194,579,340,438,647,
065,784,561,843,952,642,236,413,795,975,456,573,393,302,345,446,861,732,752,
092,291,856,091,663,250,629,375,162,129,159,483,622,843,108,283,329,228,744,
658,497,699,828,733,439,425,387,220,168,946,781,881,659,566,425,655,002,962,
136,408,683,249,877,379,405,831,630,128,438,423,419,953,921,662,779,334,929,
148,118,052,904,484,552,364,559,254,883,117,695,932,083,486,340,791,123,689,
503,057,752,783,017,247,260,511,675,131,981,359,572,193,256,787,219,662,339,
293,139,574,292,678,123,380,574,618,097,693,168,401,511,301,910,570,911,201,
145,140,679,586,393,070,994,162,230,719,870,149,175,280,662,978,028,841,236,
535,506,129,451,409,193,697,329,585,934,235,203,365,447,441,064,284,991,772,
155,239,697,776,679,562,928,654,515,612,039,444,287,538,327,734,956,481,485,
607,424,006,158,773,640,476,650,925,578,645,538,454,410,660,094,388,649,678,
457,963,660,945,000,649,431,505,779,123,696,429,985,990,307,787,338,880,230,
098,225,691,175,664,725,627,121,955,571,137,558,714,902,879,093,808,180,149,
619,641,760,817,128,292,274,485,228,581,179,420,800,420,050,195,926,541,803,
434,118,702,410,496,390,447,499,606,515,305,440,160,255,084,042,180,172,156,
041,923,114,166,179,684,821,439,673,867,645,079,007,328,464,479,859,528,946,
630,559,270,130,036,181,037,429,918,300,009,135,735,020,656,364,942,357,690,
272,417,516,851,785,468,835,173,105,410,566,668,483,374,194,860,289,205,332,
083,558,128,873,582,064,105,397,179,749,435,826,065,758,924,760,629,706,509,
943,249,588,693,780,768,197,011,866,353,772,449,313,248,300,349,577,875,431,
684,751,701,697,317,047,708,832,014,351,546,129,974,367,696,314,823,914,316,
757,690,886,744,323,223,052,871,931,768,466,685,143,328,196,126,875,386,465,
785,674,444,541,836,882,256,024,981,550,207,700,876,116,045,773,276,210,282,
080,080,059,908,450,085,596,578,304,385,604,011,379,473,506,686,879,223,620,
726,814,679,096,142,708,432,520,951,569,465,441,922,357,468,641,183,762,992,
384,406,998,693,124,174,261,233,077,679,195,068,029,474,380,155,598,655,125,
188,577,762,968,000,337,955,573,049,296,201,942,366,498,432,232,112,734,842,
744,192,826,775,267,185,102,232,727,556,227,810,389,081,060,782,938,311,374,
859,064,258,423,014,680,256,938,672,147,901,602,000,082,165,868,986,590,312,
063,200,282,778,561,503,765,942,868,521,906,927,525,959,381,502,761,749,878,
417,288,251,319,599,440,171,436,667,776,210,244,801,042,685,256,712,013,935,
884,190,025,634,807,385,603,461,110,268,748,830,270,915,731,893,241,279,747,
464,201,391,766,719,329,229,973,409,747,010,680,653,822,047,473,887,638,152,
498,332,035,598,525,323,808,502,474,227,268,808,416,679,989,870,022,984,944,
435,880,873,253,894,120,381,287,027,498,470,080,539,996,171,404,263,534,013,
829,275,784,150,981,871,944,491,442,232,443,917,851,630,620,728,956,737,016,
377,818,979,380,846,848,349,699,845,653,543,139,053,298,298,921,382,232,476,
572,716,889,504,816,005,449,922,633,975,700,258,307,026,800,398,278,854,712,
702,122,188,410,745,206,823,570,677,967,415,211,212,520,339,824,732,294,790,
039,223,444,547,110,904,806,139,497,959,266,633,377,466,520,063,638,626,873,
292,379,543,878,259,446,869,222,456,356,991,718,387,507,607,652,316,194,897,
468,057,040,442,389,885,097,021,054,939,879,805,091,041,985,972,366,773,621,
264,006,761,780,490,939,207,620,301,955,876,767,558,286,650,706,957,832,290,
247,574,328,397,374,972,130,248,227,912,315,115,654,151,474,895,572,329,093,
968,567,808,754,602,228,555,677,368,190,500,331,375,888,879,251,639,361,929,
600,370,784,424,616,620,485,161,893,785,707,120,623,416,699,162,888,097,602,
722,690,985,059,151,862,040,465,786,124,173,030,015,417,898,562,092,406,938,
343,362,553,705,594,309,171,926,310,118,669,847,220,588,929,935,782,913,038,
103,989,465,976,942,396,824,625,019,501,286,366,800,400,059,512,838,673,569,
138,720,891,306,369,926,768,404,586,253,499,587,522,007,774,073,616,839,972,
719,528,079,103,777,212,930,241,712,572,981,388,854,478,528,829,320,770,092,
190,968,230,830,190,701,200,152,858,496,587,920,133,821,346,370,496,805,380,
655,158,858,036,301,555,835,171,155,638,698,116,130,181,093,586,094,572,268,
518,892,398,473,896,466,608,534,200,308,538,702,908,035,564,069,473,874,299,
146,520,013,986,345,152,042,872,913,478,567,536,140,943,803,304,771,091,879,
307,075,521,606,857,767,829,948,054,448,371,628,428,906,562,616,506,338,552,
889,065,395,531,006,279,094,434,078,566,769,950,992,362,794,256,913,239,404,
078,059,773,826,546,987,336,805,523,766,278,968,508,758,580,503,393,774,049,
510,710,960,085,939,921,759,450,666,641,172,794,742,941,577,003,013,588,035,
384,284,041,236,680,334,046,592,650,253,000,645,683,203,377,558,954,089,726,
206,470,459,918,523,730,651,705,123,232,169,867,119,513,181,823,844,104,311,
134,517,105,258,560,558,035,337,384,118,733,517,544,767,270,838,758,891,087,
008,723,648,619,517,253,238,040,077,564,357,381,361,873,488,674,446,068,113,
786,003,311,131,312,593,237,859,236,918,570,742,739,265,122,119,616,061,209,
711,206,206,316,308,355,668,637,365,420,072,973,963,522,037,454,385,619,026,
985,444,675,498,251,041,975,262,114,394,536,633,204,398,897,290,427,465,531,
781,935,933,002,851,234,921,037,071,549,987,455,388,810,977,477,726,866,551,
790,349,543,554,578,171,962,103,248,566,528,053,015,936,880,026,412,211,952,
006,300,733,435,487,408,432,339,298,723,517,362,421,375,714,850,593,813,897,
416,478,739,247,930,072,719,941,326,154,302,634,509,046,756,621,533,328,355,
413,455,707,006,496,117,718,407,607,373,237,752,652,388,974,336,953,138,043,
224,416,224,829,335,267,029,554,745,594,362,398,582,696,929,082,667,290,056,
024,996,143,798,429,916,892,306,656,894,382,827,004,788,960,327,170,646,447,
993,515,705,293,693,899,716,600,764,790,384,351,350,528,920,665,539,320,955,
768,653,005,522,560,209,269,729,733,525,007,707,721,538,426,444,238,648,153,
346,707,677,368,238,536,801,225,820,159,876,395,604,413,252,418,151,021,439,
187,629,823,363,036,392,932,084,235,921,388,860,597,649,729,954,099,311,081,
350,063,549,276,679,284,162,483,600,678,509,226,006,105,321,822,554,288,073,
051,439,019,914,584,852,690,070,584,354,915,431,850,966,589,433,734,947,876,
195,189,110,646,550,869,122,400,428,107,894,454,821,958,256,171,891,494,293,
411,257,784,871,790,642,706,700,052,773,950,948,502,936,911,272,943,443,303,
026,546,262,505,097,494,205,353,580,244,232,157,802,571,529,153,783,926,529,
941,483,449,629,627,129,452,989,248,278,197,772,921,767,626,764,638,036,166,
211,322,137,457,877,545,976,445,757,821,344,463,835,179,385,233,008,346,963,
154,169,906,679,118,085,349,694,838,915,464,326,492,510,158,655,979,363,965,
821,149,967,983,304,102,109,980,955,667,612,107,894,541,815,950,293,748,086,
310,534,745,196,096,191,676,951,671,344,832,846,592,579,319,200,117,725,811,
023,829,138,332,537,260,702,527,656,232,347,737,031,902,134,232,991,460,780,
465,457,226,305,708,557,726,768,577,634,335,629,533,442,262,756,234,831,690,
883,399,168,046,495,942,682,945,224,871,328,076,528,765,443,400,900,022,903,
201,443,681,738,213,331,276,075,012,350,425,104,029,098,015,991,453,927,014,
676,970,561,518,886,563,732,115,621,933,773,429,335,595,798,207,550,950,701,
094,584,097,559,790,173,890,702,943,481,080,259,905,846,499,563,123,796,340,
875,949,073,442,937,207,357,745,744,269,970,813,144,944,264,735,184,683,423,
997,962,144,755,144,861,253,295,613,483,541,614,840,866,375,333,545,015,429,
086,802,645,318,986,825,815,354,151,273,604,536,963,356,385,325,609,705,073,
513,900,090,050,296,255,707,042,324,475,605,609,697,751,266,363,994,805,426,
782,192,634,440,734,444,672,716,092,253,084,612,391,408,308,281,687,474,696,
343,558,464,995,289,484,361,393,754,815,042,182,638,089,039,449,164,675,413,
362,959,275,165,343,925,651,527,602,782,759,898,087,099,603,200,256,780,606,
415,020,828,992,163,256,349,771,610,603,958,763,459,367,182,981,826,258,297,
293,952,091,256,863,994,278,994,999,638,811,100,503,567,697,632,698,452,255,
363,710,599,794,001,565,414,616,303,731,715,376,438,252,685,668,577,968,185,
091,545,984,167,496,126,308,462,906,828,402,523,575,450,291,284,711,228,596,
212,721,854,645,189,276,866,909,263,070,412,328,798,810,412,649,422,726,169,
665,414,704,265,554,612,144,332,165,641,775,960,772,182,198,538,925,647,863,
540,102,550,948,408,202,232,271,212,559,136,584,424,869,646,858,147,503,593,
226,811,283,920,486,212,171,652,630,734,502,394,813,000,463,852,037,035,473,
670,659,610,272,997,250,512,531,487,396,393,596,821,295,525,543,849,176,259,
516,862,955,086,192,867,033,014,544,008,290,940,067,918,556,671,276,419,776,
369,183,114,457,473,807,779,716,423,099,108,882,866,094,350,755,705,540,060,
798,719,752,954,580,848,712,243,768,301,782,652,046,899,494,474,800,580,908,
579,395,548,404,821,137,621,250,661,878,560,866,997,780,997,759,998,662,692,
827,039,881,409,176,343,741,736,468,524,542,528,324,929,168,604,565,799,130,
924,930,196,403,840,179,376,182,605,883,332,422,643,809,364,832,590,937,675,
089,308,613,732,570,547,013,331,027,656,818,953,872,577,597,372,794,389,945,
988,164,598,235,195,417,583,538,826,857,711,243,440,937,815,847,145,671,573,
721,475,906,900,974,866,583,997,923,781,869,089,814,653,029,072,349,096,522,
288,135,409,651,597,184,352,794,832,937,137,830,331,623,074,711,505,666,488,
219,686,599,706,538,703,059,999,882,413,556,118,448,987,499,342,149,880,954,
634,199,711,917,295,430,592,055,525,483,660,091,443,625,368,140,442,662,338,
919,716,437,577,531,709,858,418,406,905,828,120,005,851,527,331,514,422,521,
463,135,545,970,153,421,113,045,479,196,887,475,923,609,004,955,712,864,988,
340,231,703,274,838,201,696,808,143,806,624,343,021,793,458,584,162,534,139,
728,795,462,157,422,901,320,517,519,102,317,841,779,168,337,932,974,758,211,
121,596,342,886,031,896,327,199,502,501,502,706,455,630,192,712,614,273,874,
561,307,707,806,749,473,855,697,488,154,508,309,472,602,789,368,052,947,641,
690,416,000,660,372,395,838,088,348,163,059,904,158,204,942,224,820,364,116,
875,766,653,237,350,656,347,628,684,480,826,467,804,200,059,975,690,090,865,
664,153,791,218,832,159,457,790,396,074,394,098,012,561,400,501,441,064,686,
679,434,248,654,182,046,446,939,056,464,687,705,118,122,214,998,300,512,306,
944,066,517,877,598,842,460,159,317,581,535,342,836,980,054,766,208,443,201,
778,098,259,939,768,436,044,985,935,192,000,856,069,720,508,525,110,916,727,
452,273,523,007,141,490,806,039,545,616,280,467,852,544,132,927,700,611,011,
227,263,385,997,041,774,696,894,290,459,663,480,816,307,912,962,870,325,205,
019,701,496,809,959,722,309,228,532,992,431,634,225,046,478,299,460,079,010,
846,163,600,522,887,180,782,061,640,657,568,931,716,343,000,853,951,400,402,
140,633,940,576,714,147,409,664,490,445,399,713,245,821,982,681,828,689,723,
507,736,407,634,641,927,995,648,034,468,050,978,305,647,856,809,839,829,239,
515,926,228,496,944,491,464,734,834,386,588,239,811,899,679,707,950,296,380,
358,973,325,478,978,551,004,236,081,692,992,760,120,746,074,791,370,480,793,
149,257,978,743,556,920,149,607,383,796,333,651,827,780,551,058,957,019,519,
549,404,569,469,527,178,333,555,811,602,739,955,515,065,962,847,860,723,786,
445,289,081,038,798,375,134,600,625,774,733,341,950,301,126,279,264,963,429,
052,399,784,082,285,887,565,319,816,311,709,372,958,259,584,104,604,824,557,
871,209,026,671,700,779,528,820,814,720,515,438,521,891,282,783,377,073,008,
119,384,701,564,184,511,804,701,122,097,255,508,774,861,968,778,695,589,377,
911,762,551,893,503,164,359,654,389,013,316,579,821,835,012,796,996,288,069,
080,876,576,841,901,381,809,167,621,086,926,410,378,014,727,431,375,625,827,
766,538,099,754,272,044,353,829,123,494,524,817,922,700,424,363,485,786,266,
962,318,342,641,793,369,170,716,048,752,205,402,110,404,291,989,296,552,778,
182,891,238,282,319,398,552,671,280,478,979,413,427,420,160,375,028,288,910,
955,869,354,976,908,021,513,344,480,225,695,078,846,570,013,088,134,413,634,
579,891,488,420,746,663,496,897,933,276,164,756,573,476,965,611,036,241,862,
042,512,143,646,492,714,635,702,813,756,388,089,422,930,203,835,662,265,116,
296,666,501,523,009,673,644,950,934,440,510,017,662,713,860,663,726,057,296,
725,211,080,366,322,300,729,958,737,270,581,022,570,935,546,451,214,660,906,
068,814,159,519,754,894,219,917,861,157,247,111,179,394,816,784,687,373,811,
056,236,720,336,383,740,510,449,829,570,651,939,502,479,396,149,437,917,105,
520,019,432,865,824,463,670,948,012,149,451,471,658,873,097,852,101,821,248,
532,365,176,498,732,924,428,992,952,393,347,128,829,808,205,109,824,993,614,
557,443,610,931,848,517,578,518,828,671,943,487,916,159,606,039,566,972,579,
789,725,225,985,813,628,230,850,841,692,948,355,606,585,753,985,728,193,982,
001,289,091,885,877,377,827,181,941,055,437,676,258,531,268,013,128,646,316,
461,833,975,009,808,857,530,672,557,212,001,904,228,688,103,677,310,354,869,
044,526,268,057,870,675,623,467,122,881,536,387,942,502,129,022,699,142,401,
533,563,286,621,452,724,465,355,888,274,796,325,609,690,274,682,900,475,336,
433,458,660,432,774,881,372,658,886,147,935,838,709,028,101,176,358,754,166,
940,108,279,341,823,669,425,204,510,097,832,275,013,602,553,761,547,971,283,
371,635,940,959,572,809,030,127,557,473,784,687,205,959,160,746,448,646,650,
214,784,534,285,726,965,560,044,869,387,284,943,589,375,543,316,300,135,104,
174,949,073,500,035,939,609,516,667,801,526,786,080,584,345,139,591,088,422,
660,162,243,027,697,264,436,273,807,258,349,501,832,570,529,972,310,756,467,
552,196,482,068,857,042,793,420,837,838,491,706,017,506,304,742,233,321,679,
175,062,632,444,048,163,754,666,494,399,490,964,597,725,960,746,075,041,468,
009,819,479,629,858,524,236,867,178,022,041,194,230,854,846,201,802,927,481,
369,389,914,968,796,123,720,183,359,667,852,470,773,582,388,605,049,781,174,
455,261,055,663,312,750,830,662,819,653,636,785,818,049,963,458,338,220,315,
022,911,448,432,743,518,621,172,404,106,254,647,568,374,391,043,880,829,036,
643,354,635,388,792,521,779,009,410,494,321,089,873,034,755,763,879,286,727,
944,807,817,031,119,262,050,551,090,006,118,364,352,514,938,312,453,110,522,
032,498,628,175,989,470,593,779,153,573,086,888,863,169,851,119,630,885,531,
336,208,383,257,323,892,901,290,933,929,024,370,250,295,826,865,777,514,139,
626,651,849,138,012,701,441,934,152,520,650,419,772,616,441,458,999,248,116,
201,306,420,678,684,252,798,581,632,261,440,584,871,310,963,459,138,051,449,
067,038,220,127,881,463,510,338,965,639,861,595,776,321,414,857,370,096,807,
902,188,382,552,895,885,795,870,302,838,587,683,006,831,215,833,793,305,789,
705,768,896,950,819,490,505,077,518,483,907,707,662,535,549,287,371,560,106,
557,064,919,597,974,183,901,795,978,167,708,425,543,674,356,203,322,121,640,
367,994,035,597,263,185,010,694,423,190,277,754,498,356,444,723,190,860,842,
558,912,514,169,271,696,589,401,392,505,269,804,215,694,297,829,332,830,929,
369,941,084,539,206,618,176,156,707,106,297,402,192,765,792,893,839,476,907,
751,229,764,773,901,957,843,984,350,496,996,045,591,718,613,726,427,350,657,
401,588,415,581,619,139,791,248,815,876,763,395,344,066,166,363,677,166,345,
088,255,243,091,304,612,824,554,389,826,400,302,368,048,906,280,504,063,234,
419,309,386,453,263,081,776,614,613,256,238,138,443,623,796,636,987,049,048,
771,770,553,940,804,890,749,733,675,561,892,823,396,663,210,854,792,939,511,
208,122,199,199,485,594,851,391,840,825,193,600,788,229,117,631,957,858,225,
503,796,029,113,870,942,923,297,208,308,269,863,296,460,187,332,231,256,504,
150,328,697,806,227,706,629,575,609,851,166,955,680,712,286,261,751,157,833,
273,774,538,777,465,293,677,724,188,934,069,734,553,106,085,212,077,653,349,
407,657,739,799,853,641,090,935,539,435,189,263,327,808,806,190,850,267,691,
028,835,293,708,302,864,699,898,728,398,524,269,235,474,963,952,165,486,253,
776,125,325,738,472,538,685,811,059,133,358,264,088,653,406,729,866,889,719,
788,712,520,508,000,683,600,055,366,571,146,892,038,990,432,005,069,211,564,
958,700,481,000,257,704,270,538,569,594,768,887,417,365,229,787,432,849,266,
944,560,621,988,153,027,513,119,058,183,278,893,345,223,535,661,883,402,654,
802,573,859,696,565,629,678,111,196,382,677,075,236,723,927,524,437,536,210,
233,624,661,232,792,810,901,357,260,024,044,741,681,437,459,372,333,606,745,
175,485,063,034,388,568,213,048,838,974,969,140,908,524,833,409,398,758,797,
279,121,505,661,710,793,845,447,952,022,794,769,858,188,759,511,395,183,452,
325,824,359,186,300,648,423,741,897,065,254,968,682,912,239,595,438,967,153,
788,952,586,087,160,373,021,503,835,744,040,007,098,270,989,395,284,135,698,
511,561,002,428,180,592,047,421,633,037,607,846,742,880,259,767,467,345,676,
753,551,023,535,596,169,720,818,383,402,526,913,246,879,052,290,224,626,751,
088,291,445,608,496,447,399,144,881,623,793,109,984,452,523,108,680,982,537,
670,487,526,138,119,071,767,448,780,967,759,443,232,960,354,600,611,400,988,
551,265,987,693,502,122,358,472,319,949,380,870,871,775,190,083,165,998,292,
346,569,379,429,542,297,863,838,445,415,333,664,404,995,350,748,059,646,739,
130,215,855,079,114,543,800,432,173,068,491,431,913,236,908,340,508,803,889,
502,048,436,114,698,348,950,209,524,636,401,088,267,834,934,593,186,077,441,
763,277,708,696,539,095,762,977,479,502,638,963,287,276,383,508,951,342,584,
703,583,679,597,941,386,069,929,021,318,525,192,237,106,016,432,427,934,440,
704,208,126,975,603,675,009,071,690,561,296,464,084,506,390,857,684,200,174,
793,007,390,109,824,609,116,182,189,552,665,588,270,699,912,212,062,740,854,
802,639,152,129,852,346,037,403,682,597,665,352,890,306,981,741,043,265,597,
215,488,160,864,724,250,634,457,353,394,943,977,831,440,978,580,330,379,357,
811,455,961,820,372,432,174,830,129,647,167,624,940,670,294,485,692,700,016,
138,294,399,870,498,432,940,653,515,795,436,885,961,523,845,319,521,007,402,
106,893,397,110,078,189,252,837,966,877,844,034,137,779,949,468,653,002,518,
288,461,481,243,782,175,814,906,848,646,607,535,307,269,232,441,428,639,471,
208,417,392,491,246,840,703,667,930,798,381,781,176,417,629,816,378,196,525,
343,311,248,259,887,191,353,887,635,652,307,371,523,862,034,834,685,586,749,
685,020,044,645,058,554,690,279,943,776,268,297,563,102,379,868,547,142,611,
430,338,388,332,546,652,645,875,225,612,728,907,497,620,238,140,922,519,666,
538,089,561,828,971,092,675,829,905,422,923,189,882,740,422,625,117,651,620,
985,595,697,878,100,586,811,645,779,988,829,240,360,161,226,838,047,393,948,
746,781,311,938,797,957,720,958,191,404,314,198,680,615,611,281,328,758,416,
530,456,385,176,687,188,166,951,859,328,955,189,351,737,984,041,544,659,969,
698,448,470,199,889,828,778,786,929,047,261,439,817,139,848,114,141,810,453,
632,119,488,907,188,590,635,785,574,766,798,138,127,059,236,031,145,465,497,
704,853,948,890,005,284,926,365,557,076,923,991,245,378,263,250,017,876,416,
490,313,015,234,156,719,371,865,914,387,130,833,163,086,861,128,979,957,478,
809,061,374,677,240,396,592,162,996,366,575,256,724,896,206,042,093,383,953,
367,776,351,203,968,252,676,432,994,680,399,663,408,885,067,640,427,994,657,
575,619,727,624,465,014,058,681,908,267,675,538,560,150,468,774,985,369,212,
550,877,721,637,937,231,473,564,487,374,929,123,273,604,459,346,825,737,100,
592,043,444,555,258,672,479,598,063,569,983,722,688,604,781,196,101,505,390,
493,798,464,731,903,542,040,050,974,785,576,071,948,799,299,236,176,072,685,
900,816,578,993,578,005,511,282,020,394,209,602,179,466,736,235,339,252,371,
548,275,050,402,592,400,094,028,719,701,848,119,804,205,281,155,425,178,326,
110,187,392,249,561,054,482,662,443,364,365,324,660,590,456,304,518,436,582,
390,553,526,511,207,887,433,423,742,458,505,692,430,099,640,213,872,079,421,
629,984,538,385,739,942,131,202,332,057,456,958,019,571,497,562,736,196,228,
998,275,216,627,078,405,143,636,314,823,825,155,621,631,247,122,921,276,943,
219,955,502,693,629,248,023,048,309,428,838,198,485,615,171,173,402,453,343,
655,420,950,108,309,733,731,840,098,045,927,076,272,923,833,570,394,875,001,
964,621,016,533,467,144,365,918,015,814,199,689,031,795,648,961,910,360,146,
649,145,018,839,179,386,683,927,355,628,155,658,813,793,391,532,466,929,555,
762,039,427,462,042,907,352,019,676,871,284,466,376,019,826,235,142,571,319,
143,000,374,572,522,442,775,651,352,030,596,532,583,444,705,202,036,206,127,
564,960,952,355,764,651,061,372,937,327,246,691,731,380,509,292,909,395,666,
295,979,349,666,605,009,341,598,529,124,222,322,168,394,694,540,448,954,335,
399,694,764,328,631,786,388,097,860,080,587,570,927,015,185,925,127,623,162,
437,504,078,829,610,010,602,064,843,819,205,999,742,949,959,518,934,335,540,
314,897,337,468,362,496,710,022,692,398,763,111,749,039,509,307,367,182,530,
595,515,580,157,547,371,532,126,387,842,102,922,070,371,564,348,680,778,684,
534,944,100,389,323,864,536,559,972,830,821,538,124,444,484,139,627,729,859,
517,739,317,304,753,485,532,428,387,866,904,533,552,805,336,715,143,728,943,
109,738,262,592,356,885,221,585,882,176,533,242,440,272,740,533,662,854,224,
364,024,877,501,951,330,138,198,979,047,240,392,459,648,828,552,003,258,261,
503,948,634,029,586,112,820,659,518,832,448,323,509,493,043,759,728,594,897,
555,517,565,148,275,185,376,285,846,238,527,643,579,536,143,706,455,759,185,
376,324,576,657,513,842,512,445,014,365,325,862,561,029,652,468,844,641,854,
978,233,705,875,461,382,237,165,765,159,708,467,087,381,979,531,026,985,430,
222,160,563,105,622,464,611,583,837,881,875,644,799,134,408,293,591,753,525,
187,702,495,373,116,395,237,645,497,662,498,990,000,641,039,163,749,118,021,
677,386,306,517,135,419,489,992,171,248,277,964,556,586,461,935,245,655,237,
382,966,604,772,396,689,144,687,246,126,244,981,443,398,064,425,313,459,273,
972,838,439,641,753,468,703,321,753,040,224,160,322,648,855,942,281,897,710,
894,715,689,750,648,916,444,642,006,381,023,703,445,969,020,224,318,035,514,
431,244,397,789,276,931,564,091,040,879,789,591,984,837,756,772,164,511,824,
419,327,110,827,094,690,329,149,761,143,264,348,841,378,289,794,312,489,506,
336,937,849,377,420,300,280,589,207,413,440,729,302,085,682,135,668,665,747,
148,911,910,761,338,602,936,919,448,490,336,133,213,450,128,881,358,451,023,
770,970,782,282,157,104,930,852,878,815,707,290,378,248,873,375,878,346,315,
973,515,972,100,224,732,711,542,221,443,496,052,179,911,705,111,937,747,552,
557,052,186,810,031,322,665,839,333,915,409,375,954,835,452,351,878,112,614,
648,323,165,219,029,136,095,485,555,350,077,882,337,111,527,383,872,489,666,
574,025,724,433,294,140,592,203,112,023,277,478,401,752,191,889,068,746,131,
266,996,049,479,905,098,455,996,887,304,472,824,559,745,184,597,768,409,490,
967,633,644,939,091,003,153,031,283,889,332,847,007,939,479,760,767,337,363,
758,814,270,470,224,243,352,903,649,209,758,847,641,797,340,125,348,933,512,
386,590,838,389,031,864,977,220,526,151,794,409,410,451,453,984,587,706,982,
430,800,883,632,955,733,679,239,556,205,666,619,463,483,162,675,311,589,737,
540,144,471,280,884,780,709,365,747,578,291,390,167,101,139,454,440,563,934,
434,542,712,456,751,318,770,415,379,889,907,891,304,951,868,092,663,290,729,
639,502,232,988,887,919,576,915,684,247,136,524,933,862,157,177,001,500,315,
151,151,066,519,911,151,824,057,289,681,629,977,946,905,642,604,374,732,525,
934,067,964,908,259,689,778,915,048,685,951,644,516,069,503,933,175,381,965,
526,642,468,254,182,702,325,814,619,802,979,968,412,938,418,865,552,620,947,
244,191,658,391,059,444,960,061,282,235,270,148,521,560,101,473,991,811,219,
550,224,017,131,531,028,684,780,972,113,066,714,783,016,230,200,788,967,782,
275,183,739,675,630,576,452,008,047,303,503,453,141,350,494,030,961,369,102,
204,171,179,186,784,237,409,594,443,947,081,229,583,809,490,911,445,293,102,
416,898,764,947,149,060,611,689,070,820,721,404,263,069,887,924,791,394,124,
554,219,196,741,616,931,340,684,879,927,160,021,493,316,698,275,658,567,752,
766,912,135,503,738,189,946,054,871,128,883,338,141,358,612,824,765,665,173,
891,630,967,776,935,156,942,834,644,087,266,361,882,896,861,414,337,642,307,
528,835,031,801,309,176,333,944,370,430,794,834,677,067,599,563,956,825,881,
287,488,114,319,439,175,104,740,228,513,587,621,899,955,774,574,402,541,923,
583,070,956,557,629,013,024,354,619,175,590,370,070,563,768,755,350,792,257,
746,535,736,921,962,933,638,681,928,809,173,440,598,129,910,390,246,761,095,
903,447,207,469,995,690,919,677,207,494,964,650,621,214,031,273,305,939,741,
629,667,398,942,380,031,801,185,045,411,619,219,222,201,586,265,149,904,765,
236,612,841,301,433,348,829,382,734,601,285,514,734,205,911,782,476,808,504,
350,675,508,162,344,628,594,141,869,882,375,058,766,412,203,993,148,368,236,
853,461,394,997,431,605,295,173,476,763,326,344,318,682,071,814,076,165,460,
197,692,267,214,685,036,786,289,459,523,452,317,496,293,850,169,337,321,210,
193,448,714,765,485,289,702,298,480,181,999,998,111,583,944,646,947,152,852,
134,707,836,506,154,240,567,956,647,220,943,116,326,413,069,450,591,156,485,
784,063,430,886,757,585,619,518,352,139,136,002,379,380,386,994,620,653,131,
103,579,220,395,693,872,656,491,323,565,529,683,993,503,307,982,486,782,957,
811,025,196,352,978,571,186,800,091,385,234,399,874,847,620,174,156,364,861,
636,804,454,062,620,958,058,940,691,788,539,492,584,626,126,102,261,400,557,
237,357,558,466,340,293,750,607,410,276,547,942,650,769,568,337,632,718,013,
240,378,933,683,792,563,281,787,859,679,128,827,018,425,351,448,578,931,634,
756,740,001,292,423,705,370,613,912,242,009,260,766,877,158,976,659,778,551,
565,965,239,262,913,087,203,148,217,746,463,492,246,414,560,862,912,289,452,
952,825,939,615,934,403,343,874,173,843,116,296,299,502,781,187,129,004,425,
431,368,149,655,910,118,177,854,576,023,889,762,547,268,409,974,311,106,037,
682,247,436,986,076,927,174,194,488,559,576,048,213,483,127,201,814,147,855,
351,756,732,972,427,663,680,859,808,965,192,366,584,141,985,716,854,601,111,
780,828,393,038,536,665,739,000,103,270,532,510,904,829,783,100,638,647,607,
405,458,569,033,832,798,167,396,227,552,083,839,902,704,815,573,325,025,672,
693,306,456,588,796,552,886,133,634,437,561,877,954,522,020,286,006,639,653,
899,030,275,109,335,445,366,103,384,539,774,528,368,469,373,581,996,856,995,
254,017,864,545,222,750,295,826,342,936,222,295,843,838,931,569,029,034,885,
634,470,073,002,332,312,094,488,842,889,933,122,319,992,554,755,423,808,955,
798,646,491,467,674,897,530,432,140,863,764,647,173,408,451,546,994,392,046,
330,234,960,010,210,385,178,212,950,274,674,203,454,239,149,065,122,808,881,
986,026,001,012,275,309,157,915,216,234,134,349,134,238,630,157,975,077,962,
789,365,672,146,046,995,334,674,736,281,180,048,708,784,864,264,273,074,892,
811,334,539,373,782,094,117,368,628,816,344,716,259,458,404,330,042,218,381,
552,084,430,402,914,787,761,584,517,526,380,352,342,688,653,133,871,232,715,
058,393,916,280,876,739,798,302,310,714,009,857,388,941,373,062,489,166,561,
476,232,312,062,770,030,272,182,753,720,439,018,311,783,257,867,257,905,370,
425,754,223,657,334,386,167,046,755,567,383,164,052,623,125,335,702,082,988,
949,101,108,751,654,041,026,187,523,432,161,199,338,905,516,261,611,400,856,
744,260,038,245,301,420,318,952,756,644,930,652,413,140,230,776,127,244,823,
495,417,278,835,526,108,009,525,451,633,738,715,112,106,079,336,982,455,483,
177,335,633,379,561,687,235,079,229,263,321,885,706,942,948,346,342,956,213,
900,079,758,092,835,933,639,586,859,818,627,789,223,005,233,125,019,199,391,
083,998,185,732,274,206,453,141,290,073,495,435,844,618,888,362,108,320,031,
221,960,092,932,741,043,551,833,221,536,965,953,672,480,235,968,985,173,073,
707,618,704,057,393,217,378,077,800,426,086,718,070,320,672,234,017,670,743,
014,733,775,215,937,044,534,371,311,404,275,717,329,872,335,232,211,445,215,
298,322,215,490,506,536,272,190,116,237,697,950,502,576,325,470,084,086,967,
712,150,075,391,814,882,018,646,150,626,578,508,248,735,369,964,811,359,275,
973,189,560,554,785,419,717,748,865,308,052,263,470,874,321,118,992,557,001,
207,236,900,983,131,285,592,601,506,899,947,882,843,012,874,071,397,727,104,
076,880,671,257,477,658,107,852,200,342,531,775,223,543,509,235,270,948,887,
522,492,165,711,202,842,966,129,821,206,496,175,381,376,404,404,698,817,367,
925,388,831,677,087,137,779,708,422,659,306,785,934,931,230,704,684,086,128,
307,763,882,483,238,061,406,280,816,206,970,882,954,745,414,153,012,263,878,
688,988,062,951,899,786,830,910,425,466,043,446,543,182,732,208,666,933,403,
719,917,752,039,602,822,883,183,486,312,366,333,390,705,876,229,458,509,918,
608,365,779,256,174,454,576,864,486,887,320,191,587,577,848,374,709,363,286,
379,811,212,294,387,425,065,252,847,127,073,562,812,380,305,268,004,432,139,
670,260,757,962,625,620,032,111,148,060,508,106,673,642,098,099,075,593,404,
175,445,217,641,138,203,005,922,560,201,627,175,365,256,723,340,272,911,766,
218,234,258,334,669,688,528,436,901,694,240,343,242,407,516,759,211,079,515,
500,617,537,142,041,699,582,063,840,618,133,314,430,714,701,256,152,400,056,
043,408,424,715,615,509,014,408,759,445,366,946,754,957,584,376,233,825,490,
050,796,072,723,185,628,768,800,619,493,467,212,403,695,054,372,758,133,484,
832,103,589,406,733,985,183,876,115,612,267,379,626,490,244,534,781,402,605,
254,938,330,596,447,304,949,414,275,821,485,483,866,192,799,921,073,616,315,
952,728,344,399,395,638,124,834,236,778,549,525,506,841,440,605,339,049,381,
274,597,501,632,218,904,161,005,668,381,473,332,270,990,373,765,964,042,804,
952,717,057,227,475,678,092,420,790,028,112,230,285,592,956,371,360,361,355,
478,521,265,485,865,806,022,591,134,202,451,958,623,954,211,202,902,503,827,
168,059,485,843,801,153,604,602,777,136,482,329,949,472,014,141,069,527,574,
771,641,465,098,302,944,704,552,528,354,446,089,656,125,299,769,144,400,349,
820,384,318,075,047,654,000,962,784,464,098,322,415,041,091,283,712,474,334,
186,398,477,882,955,066,756,332,676,605,581,587,493,036,841,179,081,920,875,
228,140,229,035,558,163,372,383,993,806,848,897,302,096,386,053,828,321,676,
123,549,252,655,599,826,942,626,983,636,965,911,787,497,330,881,529,710,350,
085,068,503,081,490,996,829,294,734,424,124,851,549,770,434,259,606,849,239,
868,979,894,647,553,431,370,768,283,411,665,527,916,498,519,254,352,222,916,
536,789,642,816,717,980,281,302,015,020,402,536,132,309,252,687,832,654,474,
897,224,612,447,652,873,545,593,291,268,541,426,674,987,449,991,502,084,916,
882,275,597,691,466,711,131,959,735,542,723,760,041,245,586,359,003,843,424,
140,135,352,281,037,562,784,637,793,324,141,521,245,628,921,119,340,905,957,
226,160,617,258,599,556,936,291,116,530,310,909,088,071,105,725,333,718,067,
251,894,851,397,236,020,687,776,129,198,768,280,115,050,624,966,342,794,902,
158,406,466,537,264,235,835,038,463,764,905,704,512,090,508,537,245,236,589,
582,439,211,282,724,896,560,135,449,570,001,056,390,487,030,700,026,300,315,
381,893,363,027,304,769,543,036,867,950,930,683,794,550,127,370,015,976,042,
072,111,670,574,897,435,196,809,747,411,994,576,773,508,428,505,666,981,291,
286,982,481,888,955,177,822,096,097,931,194,411,912,462,630,802,998,787,525,
181,312,285,603,765,180,639,786,019,933,920,894,996,910,223,168,353,412,934,
669,931,582,175,179,582,736,082,834,724,220,520,657,725,308,750,889,595,784,
378,790,752,026,154,545,079,829,475,507,846,582,176,389,434,705,932,360,810,
653,265,023,528,545,522,546,927,352,953,924,896,778,226,239,339,560,093,430,
468,580,261,824,797,553,484,940,616,586,027,790,506,390,360,225,878,418,051,
928,145,316,683,038,709,514,993,495,033,577,330,599,599,204,050,585,873,806,
670,352,903,472,914,599,838,727,900,490,204,158,722,815,254,487,688,105,200,
702,612,835,231,424,615,377,373,566,865,843,461,909,191,729,831,847,729,836,
940,371,845,053,925,958,594,792,782,605,530,307,378,111,123,432,014,496,257,
846,344,336,118,502,423,736,496,744,954,600,635,669,301,315,906,381,074,665,
086,148,404,330,008,645,735,682,096,214,519,144,276,986,288,427,603,695,684,
250,137,895,410,747,750,727,879,681,426,741,465,857,068,899,229,347,710,752,
970,892,276,238,215,463,105,322,549,404,353,189,921,849,123,947,449,660,812,
110,815,612,433,917,097,498,517,547,014,399,941,555,641,532,437,252,424,225,
130,550,071,213,532,232,707,719,711,039,699,328,940,624,574,772,325,416,670,
359,115,137,468,982,757,387,865,703,328,624,746,670,972,229,136,187,439,027,
192,117,711,031,559,816,428,629,890,949,510,320,013,134,848,532,234,282,501,
716,520,079,192,008,781,963,853,858,811,294,446,574,428,774,449,109,433,542,
381,871,408,163,709,575,916,313,550,961,627,228,079,176,392,604,653,676,803,
753,399,712,755,477,758,238,353,059,756,020,251,135,474,021,285,427,799,192,
196,596,291,399,267,659,292,120,225,229,351,193,227,804,424,139,362,817,266,
857,662,944,318,919,969,479,636,687,906,592,024,613,370,226,675,511,070,540,
515,977,284,192,029,962,923,989,855,843,292,478,489,499,475,279,464,230,025,
707,738,407,237,824,127,093,390,753,994,998,178,787,890,419,318,994,176,279,
957,363,050,890,560,145,904,652,222,130,045,801,324,962,462,812,549,068,023,
774,820,978,982,203,527,832,420,256,720,722,068,692,916,066,057,169,624,486,
393,557,550,161,020,261,071,899,546,352,163,209,589,673,067,151,016,098,753,
265,110,469,254,485,661,476,301,136,413,701,122,519,899,002,588,682,385,875,
833,413,229,496,592,552,421,994,467,150,810,231,369,495,825,809,003,632,251,
214,743,345,028,730,329,812,269,923,097,939,421,202,687,743,587,841,574,102,
435,537,550,075,225,124,116,525,250,693,237,596,998,705,201,576,208,623,292,
671,488,578,748,226,280,768,756,543,897,380,722,305,097,091,359,336,629,977,
079,549,102,877,650,100,076,199,642,499,512,624,020,445,579,656,493,684,769,
203,512,513,317,873,416,983,173,654,962,019,523,783,943,843,499,859,781,749,
328,583,855,785,543,256,586,171,006,392,925,156,705,232,051,285,013,409,342,
349,093,514,087,393,117,018,192,383,519,274,922,638,421,230,730,073,597,020,
418,882,387,358,967,881,108,199,461,076,774,820,299,212,783,659,422,834,818,
217,103,379,700,637,821,871,763,834,388,767,128,133,019,875,490,043,201,352,
068,721,489,025,399,594,611,902,279,947,544,296,539,524,078,923,003,633,810,
238,806,679,469,663,937,849,423,017,061,313,806,776,039,352,860,409,605,461,
715,431,826,960,780,859,175,461,291,563,155,561,763,564,184,916,321,595,583,
927,265,035,435,518,099,819,531,130,319,067,610,840,327,478,211,046,224,298,
098,855,945,506,259,134,649,463,934,793,217,448,282,221,979,275,733,072,617,
246,973,751,278,850,590,767,705,634,335,730,673,904,477,081,958,163,381,493,
428,023,074,677,957,220,543,423,815,112,204,000,951,928,580,026,569,050,471,
175,088,777,883,578,110,773,067,394,512,725,356,133,731,420,940,733,630,529,
303,105,656,558,982,285,412,388,737,257,274,576,730,340,041,996,739,755,197,
359,329,412,293,261,788,113,853,534,728,882,034,671,575,162,402,546,828,919,
494,415,018,699,651,833,120,333,172,728,853,583,152,810,533,856,218,342,743,
996,025,965,352,612,585,544,704,604,629,797,970,359,793,094,191,543,637,071,
731,853,551,585,800,979,637,451,408,953,333,730,580,718,667,128,678,968,179,
893,755,429,752,193,032,693,235,911,562,023,224,879,014,311,608,044,041,907,
457,214,177,895,876,630,240,073,995,665,040,026,537,485,214,305,654,060,025,
913,635,527,941,770,779,999,684,862,242,442,423,602,650,489,916,920,565,133,
813,715,585,441,076,641,127,871,084,851,998,990,793,433,381,485,341,121,964,
161,848,225,358,255,158,456,798,279,703,833,164,606,731,337,329,869,581,933,
130,182,839,096,316,915,307,341,212,371,194,036,322,048,477,965,647,229,618,
193,557,601,011,785,064,152,591,695,903,270,709,277,597,691,530,412,537,582,
837,987,531,419,766,085,015,335,924,563,604,524,174,054,331,955,961,394,093,
482,058,028,854,380,527,488,322,642,901,517,790,931,900,689,431,032,089,049,
986,536,583,373,039,791,409,226,941,472,807,138,946,380,303,272,520,352,363,
460,358,254,538,239,026,678,299,977,121,857,562,396,533,044,013,353,314,166,
132,752,659,469,062,912,795,452,104,231,211,111,071,811,526,912,841,582,423,
045,946,036,572,183,755,771,086,712,128,950,416,070,980,520,388,651,959,056,
237,834,190,204,676,080,875,678,749,369,310,946,736,456,178,017,164,512,767,
834,940,137,939,041,297,100,858,444,537,711,102,266,587,132,648,063,134,724,
285,446,235,978,292,553,661,611,526,156,809,659,095,613,492,584,516,577,801,
209,540,633,772,645,622,340,178,534,602,360,669,290,514,609,404,756,302,646,
565,310,668,860,895,866,185,661,839,579,932,886,985,153,617,801,452,842,882,
428,111,658,592,747,147,177,405,844,242,717,593,415,719,218,001,258,732,289,
187,207,481,881,067,367,932,731,059,518,642,481,068,631,969,678,283,773,490,
383,421,345,967,448,470,898,933,712,364,484,433,831,295,629,139,476,176,920,
938,359,632,808,944,378,321,704,613,269,588,582,778,306,599,215,193,337,946,
652,334,498,954,369,923,882,813,708,853,262,876,016,943,271,993,576,813,957,
997,805,775,599,212,401,983,828,106,937,615,958,642,110,371,675,408,997,774,
022,896,909,512,263,018,523,228,569,665,075,467,737,388,987,425,806,294,104,
234,759,629,133,961,948,158,508,191,738,458,047,790,846,152,729,734,697,487,
545,662,614,748,714,211,358,649,995,112,072,132,174,575,699,792,408,294,355,
522,006,092,350,349,449,109,490,991,497,552,859,992,580,781,060,106,907,861,
554,957,462,881,814,959,903,339,721,378,133,767,640,750,965,717,390,588,052,
731,309,382,736,653,107,794,579,963,134,465,440,285,993,286,911,920,342,767,
467,717,416,684,182,282,326,005,748,037,648,729,117,471,040,928,488,981,856,
710,650,826,779,155,397,354,752,832,774,473,959,709,964,096,092,216,695,902,
746,960,293,211,572,764,231,398,011,646,267,241,942,755,297,333,294,211,165,
929,098,759,214,667,466,883,872,371,791,893,141,960,679,341,455,200,505,530,
698,753,456,606,367,444,994,293,418,719,962,746,953,124,077,080,182,419,667,
407,244,149,293,977,275,675,349,192,772,846,490,827,556,283,104,824,533,837,
416,737,052,087,570,296,756,277,370,086,395,110,615,435,806,866,492,193,182,
452,086,040,751,821,930,702,544,333,173,765,219,555,888,066,446,132,014,642,
787,056,013,276,554,526,823,339,947,260,465,957,108,611,083,047,064,361,640,
970,986,286,817,333,729,846,650,240,302,628,730,993,426,816,898,468,784,128,
586,436,906,762,532,886,066,656,381,412,748,534,236,537,018,558,707,755,202,
324,309,379,041,270,126,141,252,845,883,379,476,393,933,636,990,017,172,225,
848,662,779,768,933,528,231,601,396,801,724,557,932,984,994,452,599,567,902,
695,634,087,983,542,538,651,570,058,092,440,359,252,763,208,411,913,882,006,
369,086,406,495,473,534,284,144,002,065,616,413,525,377,981,181,319,517,485,
026,889,327,729,566,337,147,333,556,023,696,997,717,676,538,330,219,910,689,
411,535,966,319,667,314,184,558,228,277,392,427,072,077,433,033,595,320,082,
009,493,317,332,024,745,137,125,940,752,689,362,060,214,991,447,797,438,663,
642,848,541,865,585,499,580,359,564,950,283,585,511,379,529,740,923,864,182,
301,542,118,761,657,670,816,785,617,568,314,030,524,690,790,190,031,051,557,
594,674,135,379,010,289,303,653,338,358,333,294,982,588,321,967,646,818,282,
436,006,542,162,959,516,792,492,555,728,050,830,100,822,257,418,720,893,149,
898,467,670,126,966,219,158,686,731,149,739,908,278,000,651,454,821,787,981,
059,553,485,569,762,900,182,587,470,135,629,473,228,444,418,750,254,214,664,
235,093,043,109,508,071,937,297,455,018,411,941,032,595,628,686,764,048,172,
572,596,643,925,276,302,045,937,508,090,684,427,619,114,970,388,836,331,895,
103,031,590,377,944,252,366,421,931,305,713,277,730,540,321,468,510,575,475,
326,359,117,942,769,319,737,283,450,746,916,952,084,222,087,312,694,532,548,
610,845,283,029,967,949,270,150,843,188,613,633,081,217,049,485,562,550,841,
770,087,457,574,122,529,742,683,512,968,421,811,269,075,760,335,162,859,498,
446,190,409,280,281,357,821,978,535,965,719,526,622,342,448,035,945,284,591,
929,901,861,937,162,455,211,933,283,484,372,277,057,858,797,848,594,656,181,
704,939,941,764,512,721,422,474,310,697,906,010,510,245,759,478,089,621,586,
795,917,476,019,686,770,353,578,612,667,911,550,181,484,303,132,815,623,517,
818,391,916,054,763,564,977,630,071,496,110,625,222,814,058,478,301,389,163,
534,436,922,969,485,749,879,166,066,081,086,308,732,785,508,710,916,599,751,
630,617,928,697,599,599,440,593,091,722,186,770,064,459,147,862,671,535,819,
272,281,770,260,163,015,036,856,689,384,487,952,062,617,577,401,255,537,211,
979,763,999,922,907,830,955,517,616,970,145,829,063,943,215,511,620,827,621,
483,922,149,723,086,728,716,889,995,229,593,838,038,418,425,567,956,023,933,
857,020,004,955,313,530,353,581,289,744,500,617,919,668,766,312,324,703,174,
855,999,394,176,938,918,269,497,651,250,086,040,705,119,835,812,420,936,486,
873,953,599,327,791,744,652,041,900,596,242,240,148,909,887,063,469,870,556,
537,788,344,510,542,347,121,974,809,613,688,107,753,290,594,398,718,974,179,
021,615,669,102,446,596,492,934,658,260,284,785,060,941,306,309,332,077,104,
849,019,087,605,475,698,904,545,581,361,202,636,178,059,821,839,567,356,065,
352,714,060,529,248,354,269,577,689,358,377,701,821,939,566,062,948,796,791,
743,165,738,099,026,248,409,533,406,575,077,438,653,021,789,066,191,011,271,
665,259,994,408,046,765,641,788,208,056,945,104,708,175,206,980,217,748,416,
611,029,528,240,247,483,624,623,329,126,115,591,276,100,065,126,612,798,276,
753,946,056,569,233,597,094,825,388,408,830,335,319,686,090,920,552,441,086,
154,214,052,039,533,898,330,095,106,879,078,070,734,528,742,640,173,775,963,
857,418,862,745,629,812,098,083,186,768,903,413,453,896,764,448,249,800,821,
151,731,885,855,270,795,345,814,180,355,646,345,358,648,757,901,383,922,330,
946,332,324,677,875,464,121,038,309,918,384,467,492,024,761,918,742,704,239,
706,612,286,827,224,064,720,519,463,029,397,720,656,126,034,314,238,627,856,
935,530,495,680,864,457,989,278,779,084,561,545,341,009,034,333,857,741,362,
014,255,364,586,029,382,160,409,228,793,431,403,860,655,467,171,764,569,737,
990,172,768,619,063,249,913,451,650,896,822,346,092,430,008,710,090,107,338,
628,097,826,115,918,055,041,561,956,345,451,890,838,924,046,824,335,325,117,
053,559,782,431,095,629,239,096,290,582,628,497,263,942,542,905,024,804,743,
017,113,605,180,761,100,023,494,540,141,047,802,148,719,272,607,152,241,031,
581,798,438,997,969,514,725,049,597,651,258,516,519,068,584,184,676,034,273,
190,133,334,685,831,486,383,409,741,173,190,731,225,903,844,301,505,025,707,
339,664,112,088,761,253,738,000,005,540,212,079,130,497,901,287,289,197,692,
969,377,661,626,725,415,938,942,407,466,723,019,264,067,644,939,722,942,345,
411,739,790,794,945,784,278,500,504,920,994,634,157,799,298,780,936,590,711,
203,177,286,051,827,009,003,062,017,251,028,282,817,781,347,271,973,033,847,
658,643,384,512,643,947,148,817,243,080,730,983,414,269,558,598,310,719,792,
047,367,005,172,491,952,104,154,263,128,696,994,969,727,319,758,562,593,503,
890,182,280,852,616,775,567,045,095,993,294,162,035,410,286,351,654,992,130,
699,845,191,015,717,313,421,645,255,513,560,505,493,395,274,754,488,841,934,
389,077,608,802,846,822,953,679,908,674,854,396,364,840,478,534,095,862,310,
903,493,790,227,417,458,543,626,844,738,041,153,630,035,224,339,857,465,932,
428,628,326,082,409,171,102,560,009,078,035,992,776,496,394,097,492,368,435,
676,811,028,281,561,686,025,402,608,228,629,720,694,506,427,203,588,504,827,
064,571,382,108,830,343,711,928,159,383,923,141,077,250,427,623,425,942,144,
429,275,166,151,444,058,261,301,441,899,039,769,167,200,730,446,872,973,877,
730,586,597,626,218,337,989,120,196,922,515,076,544,531,410,337,039,879,141,
627,694,379,242,488,029,726,483,987,193,574,584,689,954,801,959,376,222,441,
485,903,057,225,437,404,401,862,470,005,760,871,430,020,384,465,168,048,702,
555,207,990,995,403,857,614,094,914,784,732,612,952,398,219,331,051,465,593,
700,212,030,994,877,430,093,540,473,265,400,689,494,610,941,399,927,893,370,
614,230,263,308,574,189,086,492,374,324,194,240,012,900,567,817,860,070,871,
695,717,315,964,549,749,545,819,279,209,860,825,841,678,009,408,546,820,391,
875,776,468,523,943,113,371,726,188,749,194,530,847,466,019,178,619,726,792,
697,881,768,437,122,423,008,704,462,290,435,212,783,449,746,449,837,468,162,
941,656,191,136,422,549,289,971,831,067,470,314,292,593,287,798,465,762,229,
087,941,989,408,083,492,414,688,915,553,068,038,606,750,759,820,598,202,992,
694,800,528,196,762,302,663,981,418,673,708,057,262,438,655,004,480,015,293,
937,508,834,350,457,599,690,833,902,528,368,010,812,482,470,439,852,190,072,
483,098,822,757,408,644,184,470,126,464,366,101,928,715,333,601,457,611,049,
154,092,910,410,150,379,844,330,306,328,932,616,162,079,946,772,633,899,062,
780,340,016,827,745,152,467,052,739,190,122,757,580,212,518,256,316,825,325,
611,740,935,027,911,432,783,388,264,072,218,408,044,078,959,592,523,392,326,
170,052,373,320,459,165,312,707,397,308,182,353,450,389,917,422,331,373,091,
078,245,961,674,341,993,603,677,399,813,187,352,561,476,720,790,089,761,197,
310,397,391,048,440,079,586,562,989,224,681,472,806,482,316,951,190,114,224,
481,603,130,588,511,449,917,556,344,031,304,430,799,651,376,526,129,001,553,
123,896,759,302,311,834,981,296,896,290,820,517,960,753,095,942,361,265,837,
980,641,382,264,651,018,487,176,906,563,286,374,466,369,434,345,670,140,894,
301,922,170,613,791,231,354,279,371,172,516,478,591,908,595,161,618,119,678,
764,475,156,377,487,498,004,057,574,018,720,083,377,509,534,608,577,477,784,
179,672,597,384,073,316,109,488,397,657,868,323,837,770,091,192,727,843,300,
967,000,830,791,783,025,863,147,581,151,335,346,179,296,257,404,668,731,030,
077,479,108,734,607,281,537,824,727,712,492,734,122,307,412,331,226,873,567,
849,576,019,811,667,396,895,846,943,314,166,861,513,584,570,270,005,830,433,
995,997,313,365,870,791,167,616,040,850,972,436,096,065,477,034,119,910,324,
508,361,871,396,348,632,641,205,967,871,115,757,935,356,333,020,991,245,726,
172,530,901,526,846,301,119,608,875,863,512,753,254,641,445,972,065,144,991,
197,503,334,377,206,457,228,731,101,381,771,073,830,971,345,861,412,742,631,
061,692,426,732,197,714,771,626,816,003,490,809,389,408,491,085,693,446,998,
031,037,213,603,210,129,169,005,695,419,026,643,400,397,328,369,888,186,917,
212,954,491,723,895,066,820,167,886,472,816,466,631,933,712,461,759,605,536,
688,913,395,186,514,690,173,922,230,066,939,232,331,856,388,192,478,304,791,
735,797,995,091,662,475,813,437,947,827,878,206,403,181,633,582,713,080,181,
591,286,733,369,738,284,797,029,449,276,633,051,120,635,827,916,729,381,708,
602,813,776,525,661,229,573,656,426,137,488,240,711,783,650,059,440,099,010,
386,565,398,101,878,931,514,090,298,519,425,833,320,939,664,957,670,934,060,
492,924,982,217,174,079,374,068,713,958,553,867,001,663,728,312,731,594,161,
714,697,705,377,121,520,062,162,911,339,288,180,375,913,174,946,071,588,453,
951,344,727,026,198,179,771,691,245,477,225,429,186,929,550,420,710,435,578,
767,260,205,813,395,761,376,147,250,898,106,718,693,298,872,390,110,650,440,
091,634,846,903,890,300,919,920,069,118,410,788,730,973,965,413,939,539,005,
184,250,694,330,851,907,177,851,120,863,301,623,434,930,360,873,860,331,791,
701,176,469,088,197,268,404,909,425,294,804,659,592,819,571,267,456,179,773,
999,323,297,518,532,901,341,416,034,349,585,038,008,047,810,872,177,391,663,
398,640,714,638,068,786,762,512,313,829,432,499,299,201,134,185,093,506,009,
972,129,867,351,728,556,278,364,445,741,271,087,414,144,437,521,780,455,832,
736,318,738,049,106,485,839,278,570,017,943,067,351,462,234,595,926,732,931,
314,715,501,893,201,195,570,898,560,305,600,065,386,544,256,111,186,511,843,
340,363,818,123,486,293,637,169,835,289,294,046,878,750,742,154,249,662,475,
893,052,147,588,844,533,263,063,283,795,755,061,074,502,312,132,684,042,481,
250,894,066,032,406,806,439,695,402,413,082,755,247,636,594,163,079,681,948,
651,220,251,789,819,240,167,326,929,096,641,936,720,369,042,493,395,646,462,
464,836,081,202,046,567,116,976,122,184,617,750,693,776,605,987,535,488,026,
721,142,202,158,231,929,163,064,658,679,234,815,572,068,917,600,046,204,286,
738,683,145,742,299,321,305,815,290,120,976,837,920,135,829,278,350,090,311,
693,569,390,235,554,844,134,873,145,213,129,893,218,693,258,771,214,547,730,
270,118,420,003,943,948,173,834,080,188,603,319,282,175,358,796,250,736,709,
520,125,637,680,820,686,832,969,138,500,871,799,257,326,007,321,420,486,364,
951,285,307,065,300,923,810,257,876,341,526,789,227,710,741,341,995,483,253,
088,008,019,818,383,505,043,880,225,605,332,316,658,843,754,543,450,204,868,
655,622,012,616,814,156,676,421,095,795,898,887,691,558,104,124,062,034,584,
073,432,894,183,824,737,828,126,353,785,129,823,670,327,396,584,556,389,653,
007,270,452,997,814,383,601,559,742,932,931,670,746,983,432,016,219,936,908,
102,105,790,458,746,313,129,075,079,297,123,962,772,790,787,910,070,776,789,
643,104,531,685,726,076,293,391,641,582,691,409,102,091,069,668,784,347,633,
766,353,437,219,626,543,985,854,812,660,620,228,777,705,117,378,113,866,011,
820,680,025,347,953,672,791,858,489,984,303,149,162,409,309,029,408,296,361,
702,756,848,996,110,426,632,952,540,571,513,912,458,195,504,248,577,412,581,
895,062,419,500,289,538,181,656,554,986,041,126,505,460,460,824,478,808,869,
734,076,268,805,864,374,262,192,757,586,448,247,613,718,436,690,396,612,074,
636,648,073,605,203,470,974,890,777,304,330,664,052,974,180,555,705,151,049,
173,163,226,542,266,041,306,032,122,501,747,371,380,193,297,599,389,243,950,
825,135,187,778,467,771,624,628,824,173,606,834,037,241,515,189,415,254,961,
342,938,451,454,746,227,613,939,971,077,051,525,265,563,315,280,771,490,585,
764,079,558,171,741,832,417,224,539,350,870,099,457,587,208,863,622,821,856,
800,202,221,676,980,335,011,803,818,258,162,916,060,166,968,680,592,473,724,
241,192,488,800,622,831,381,478,261,884,195,710,287,127,065,839,145,048,074,
222,391,929,484,534,767,525,674,015,196,390,713,932,924,744,327,445,658,483,
970,577,044,066,454,072,300,283,158,513,313,195,486,042,748,784,085,317,456,
752,673,378,499,680,193,903,263,838,478,674,550,484,855,626,867,612,503,106,
731,180,238,489,835,676,805,322,930,625,488,953,033,576,188,483,761,719,394,
085,876,003,637,697,959,143,937,871,554,197,982,784,372,760,420,118,527,181,
832,840,321,497,939,602,663,609,393,678,175,970,788,704,058,066,578,481,815,
116,133,428,649,955,784,049,102,199,292,990,051,732,347,050,684,213,078,066,
615,694,050,253,219,136,863,104,863,819,828,505,338,394,893,170,312,400,228,
280,642,647,412,836,472,955,878,213,028,519,158,614,199,675,622,066,339,969,
397,707,690,007,633,282,465,091,922,927,213,468,336,785,124,805,470,504,864,
714,063,643,552,178,178,994,962,807,497,917,468,498,737,432,141,439,805,086,
585,037,477,473,768,860,536,063,923,744,233,455,956,885,218,510,437,715,948,
439,161,042,075,513,840,476,503,132,073,246,315,413,038,516,978,906,972,717,
588,657,249,252,685,248,860,728,991,904,761,624,539,139,937,210,617,860,946,
559,313,180,198,384,448,841,803,484,291,196,971,488,513,659,860,067,935,535,
556,257,265,687,035,811,904,531,995,992,287,034,019,951,531,745,956,153,169,
517,438,908,430,907,952,138,254,993,495,840,223,112,878,040,236,556,561,279,
777,051,901,934,283,332,402,687,839,348,428,548,620,324,401,168,688,278,203,
392,883,492,264,213,102,631,029,373,626,385,137,483,391,506,490,502,935,196,
170,536,786,501,800,100,303,776,788,925,000,286,376,994,803,929,992,844,408,
286,607,624,576,194,386,114,259,514,542,330,264,705,733,723,578,770,671,640,
771,701,994,252,775,841,098,080,505,290,263,336,161,247,709,150,028,634,806,
703,941,018,521,629,124,673,276,696,075,565,672,913,449,350,814,350,872,283,
428,723,051,750,203,488,757,345,004,504,661,638,897,814,387,062,629,202,254,
137,109,585,580,555,129,814,234,467,733,662,682,787,966,929,473,759,882,571,
451,815,832,221,817,510,590,314,760,744,912,061,508,915,185,194,725,577,267,
916,072,345,404,402,288,617,743,667,330,579,665,433,541,190,157,949,573,864,
853,667,995,673,292,593,278,783,583,581,301,388,793,849,429,484,005,388,539,
168,404,806,818,413,283,691,879,875,405,829,432,606,518,419,017,112,319,100,
062,372,261,955,462,713,199,906,197,765,036,700,646,212,498,686,497,126,784,
906,114,005,033,035,824,352,889,035,813,736,018,357,067,187,664,013,753,508,
038,540,709,791,932,436,913,183,653,629,815,757,819,776,171,564,779,657,354,
025,848,226,597,831,730,921,792,808,725,623,178,224,139,722,562,808,806,872,
267,173,478,630,022,847,648,634,932,865,958,189,384,749,216,558,200,723,039,
275,120,978,633,959,254,417,049,729,839,710,355,438,902,445,019,706,537,905,
339,592,117,956,715,931,112,350,918,490,584,933,825,636,677,791,880,158,246,
102,423,236,428,447,493,674,418,399,654,872,438,529,683,039,778,884,247,506,
358,234,874,705,890,983,023,173,154,630,641,065,732,184,188,758,380,786,233,
481,213,233,535,334,727,221,537,188,074,628,803,897,065,281,199,347,593,265,
552,191,247,968,014,692,420,213,237,030,688,270,094,658,076,999,085,570,143,
094,866,393,016,165,739,455,639,762,829,262,268,094,978,039,394,779,708,877,
069,151,553,048,661,264,662,232,235,397,464,284,109,123,452,419,095,805,183,
848,509,526,526,193,788,106,794,790,663,963,005,145,578,858,262,176,791,241,
453,399,156,230,047,644,901,324,048,758,473,293,910,118,645,280,143,510,825,
691,618,986,779,224,533,981,947,795,330,662,120,972,326,256,949,925,528,380,
992,562,065,252,134,486,154,067,752,140,150,958,450,268,984,694,421,137,605,
740,536,207,313,746,589,328,543,271,403,560,909,674,064,714,256,591,459,737,
308,829,904,212,989,647,542,382,515,196,558,498,560,419,822,394,741,729,265,
490,485,507,953,510,854,454,949,921,156,527,682,565,594,890,326,204,830,559,
951,653,367,160,877,706,185,051,549,518,723,947,030,807,318,681,266,979,839,
791,508,953,460,834,324,516,707,551,704,309,973,705,216,535,253,342,078,456,
526,787,503,353,321,049,162,971,476,310,876,862,846,487,662,881,316,426,518,
430,760,962,126,291,338,149,454,250,164,443,012,846,680,879,469,534,236,139,
689,802,222,117,389,980,189,613,476,956,347,023,428,731,649,465,984,929,217,
615,872,425,688,467,013,350,491,517,325,123,701,348,514,917,439,243,831,802,
726,962,537,779,512,380,308,703,685,516,474,325,807,290,822,818,863,696,441,
712,736,198,475,243,476,066,020,397,035,833,358,334,024,118,029,599,041,245,
298,865,741,685,225,903,584,899,963,772,417,027,910,691,355,017,338,218,252,
268,661,161,818,758,547,892,344,163,011,211,300,937,371,831,661,689,850,169,
505,675,743,905,678,413,589,194,721,881,918,322,020,678,893,634,304,113,681,
164,740,234,808,477,235,239,153,742,262,862,307,395,917,251,730,101,712,915,
037,160,092,153,118,675,618,450,994,238,284,558,032,857,980,587,123,066,923,
831,283,882,125,379,475,233,941,898,256,488,317,785,455,441,369,380,898,081,
541,498,368,988,276,108,899,581,218,880,039,067,661,917,907,595,596,693,121,
478,033,795,758,494,086,706,695,100,334,949,139,045,882,338,345,554,901,570,
588,671,217,404,554,925,445,218,623,833,430,072,667,945,631,696,419,152,755,
082,519,335,145,086,723,604,408,749,803,664,362,650,546,283,161,671,405,819,
737,582,387,721,590,056,590,282,439,583,735,851,229,978,635,929,754,530,465,
998,981,535,471,642,491,782,019,973,057,039,517,886,096,656,290,687,664,937,
069,408,473,223,571,102,740,682,352,808,698,984,088,371,428,261,913,916,543,
386,660,828,285,084,205,495,635,539,823,333,402,156,607,529,326,329,978,345,
778,591,097,055,993,993,495,432,821,350,502,950,881,936,727,581,229,536,828,
898,218,338,236,141,368,870,830,604,217,843,140,500,362,863,757,453,708,706,
304,601,207,541,419,687,493,654,420,487,706,204,510,599,103,947,966,781,871,
379,333,478,560,536,294,890,162,912,087,721,602,564,447,130,404,853,791,988,
799,559,810,287,469,872,298,043,031,919,061,432,317,409,602,379,620,803,465,
415,902,213,627,843,730,783,801,429,852,500,926,784,375,516,695,695,561,127,
717,998,778,697,114,287,395,936,971,777,184,066,515,096,348,596,815,782,802,
096,045,511,430,252,860,479,828,247,495,147,000,529,035,172,420,040,479,399,
585,067,317,397,409,257,349,935,564,519,439,492,920,697,254,101,801,950,980,
690,739,286,798,209,054,507,355,537,630,218,805,730,714,684,543,820,112,323,
619,617,340,374,604,811,467,793,839,493,788,379,659,539,795,891,789,917,688,
364,252,997,106,293,929,377,677,324,233,753,971,544,901,223,494,429,815,574,
746,794,453,704,306,367,504,967,496,491,628,191,565,970,706,226,594,574,831,
592,815,986,235,061,578,220,469,144,428,902,319,393,424,726,315,675,271,496,
821,304,430,753,366,588,285,181,694,474,426,262,702,849,073,995,748,787,157,
452,600,652,732,007,274,857,890,158,319,454,758,019,074,856,226,815,784,031,
618,009,974,908,984,094,396,979,890,399,465,539,398,191,353,392,636,289,175,
795,453,606,521,527,821,187,879,877,343,365,050,883,337,202,941,615,728,036,
334,766,044,784,341,941,408,845,336,109,926,760,877,931,936,411,441,297,100,
913,012,116,359,811,059,639,415,425,897,993,894,054,347,486,097,252,430,634,
172,217,462,506,636,433,394,623,498,272,963,444,739,386,528,217,215,690,487,
363,259,282,201,048,566,894,274,415,127,925,043,542,617,949,248,406,405,426,
220,385,408,865,211,307,863,614,598,420,264,740,721,241,219,510,728,640,306,
756,551,984,876,801,429,833,050,560,630,922,846,055,996,902,056,610,404,632,
221,087,913,254,174,786,636,896,227,140,690,904,427,214,533,901,463,313,145,
373,288,385,108,336,751,524,741,601,510,329,455,924,098,775,409,550,658,074,
004,222,537,167,353,191,511,895,936,576,062,196,142,087,183,774,844,351,019,
334,381,837,722,295,058,267,286,962,156,533,573,076,555,630,925,034,290,709,
135,914,300,307,744,103,703,545,697,934,401,577,865,503,359,309,978,855,102,
066,583,638,269,930,739,701,541,296,681,215,819,695,802,100,877,807,464,561,
776,783,665,950,816,256,891,213,682,381,798,439,055,437,406,431,400,252,614,
793,534,411,965,206,308,703,909,522,279,530,186,527,775,281,181,450,642,804,
656,702,223,482,887,053,430,427,306,106,241,775,215,993,816,972,924,371,496,
521,035,425,724,972,695,516,371,273,949,138,783,173,990,721,858,193,079,313,
028,462,937,054,571,756,055,369,327,983,048,906,816,759,941,362,098,486,816,
739,457,354,748,298,690,392,915,526,215,782,118,976,081,105,430,556,646,689,
761,630,513,374,748,561,430,494,850,704,519,376,852,791,208,056,497,779,299,
104,900,544,590,364,983,592,190,629,368,960,137,090,250,156,415,980,300,094,
880,317,377,368,431,743,980,832,514,758,362,959,013,450,821,782,251,123,764,
641,882,908,389,246,512,885,673,696,394,079,299,081,704,648,451,545,505,906,
209,934,004,067,730,650,473,601,958,392,295,929,308,514,915,527,923,690,875,
022,169,876,729,781,839,604,359,953,500,838,680,726,178,668,961,683,175,620,
327,511,160,388,500,368,505,410,019,018,791,688,629,519,483,337,201,243,144,
066,880,897,008,353,868,880,047,333,568,100,133,432,918,990,554,865,000,827,
759,479,739,937,204,674,465,671,990,189,421,015,936,400,079,346,365,680,685,
549,187,577,778,661,438,867,437,934,671,603,577,164,242,355,604,272,643,110,
424,558,264,657,420,187,166,668,209,137,114,685,627,321,281,381,853,817,733,
899,272,724,950,750,051,052,808,536,240,309,216,312,134,307,073,912,487,242,
764,606,262,313,698,474,665,181,595,093,798,799,129,783,284,687,608,539,301,
241,573,605,136,484,558,737,211,632,036,432,916,847,153,735,727,043,259,291,
877,984,314,628,013,427,922,011,718,240,941,633,718,281,067,802,037,744,826,
497,790,411,472,582,660,355,102,598,739,362,172,197,918,160,228,852,220,972,
978,276,171,585,159,594,434,399,967,633,227,483,242,858,664,547,726,800,435,
416,818,788,700,866,552,339,037,920,626,942,775,480,779,790,656,001,925,698,
194,382,268,350,032,206,767,899,536,344,876,186,883,768,608,928,054,471,906,
983,494,814,452,423,645,274,133,028,260,552,879,916,927,464,970,916,447,161,
189,525,154,782,599,380,013,867,128,304,385,861,706,291,852,982,792,530,181,
885,259,385,854,305,047,419,442,749,400,252,168,818,182,557,521,997,989,260,
315,372,004,325,169,769,625,830,369,175,099,243,815,231,937,013,740,557,377,
157,717,931,918,935,519,324,404,937,796,299,453,989,262,357,189,735,333,382,
330,223,900,931,465,281,991,784,039,495,771,736,516,499,377,781,234,976,788,
320,329,164,959,937,094,238,741,373,158,004,393,146,105,805,173,742,514,123,
822,421,531,809,626,550,217,682,467,994,690,113,722,640,557,704,949,358,501,
018,552,270,846,056,594,034,095,413,029,500,993,011,470,727,291,706,010,791,
290,791,664,761,311,133,783,688,452,924,200,766,125,276,665,226,811,335,274,
782,205,746,137,004,338,533,668,285,906,087,942,769,565,898,854,950,507,763,
709,526,717,464,251,498,227,316,662,025,230,051,166,850,325,951,022,445,720,
675,528,527,610,653,860,913,115,009,711,084,193,287,080,358,034,003,233,520,
418,768,205,487,061,472,990,383,691,749,413,984,980,642,992,244,378,130,283,
134,689,980,275,472,925,891,056,546,809,809,963,866,907,901,169,189,018,219,
241,221,427,602,400,965,446,386,446,962,483,067,983,936,403,121,408,571,801,
850,238,092,041,157,211,391,595,166,028,303,091,032,345,380,259,009,334,019,
660,053,730,286,564,817,592,400,059,582,774,601,330,990,480,823,843,300,409,
203,721,316,730,430,339,399,943,995,623,296,642,620,897,047,096,081,305,641,
599,202,850,716,317,010,106,821,188,297,539,606,103,384,650,052,753,334,446,
882,210,372,620,824,786,701,629,029,498,247,171,866,514,502,344,815,280,866,
673,040,742,534,777,358,676,685,663,983,159,332,834,919,193,327,677,119,191,
665,497,760,646,292,623,325,819,407,511,014,070,089,066,815,419,240,281,580,
135,270,379,621,871,467,703,511,808,138,222,266,179,661,080,244,121,289,831,
515,837,423,740,286,936,953,271,094,216,768,129,537,131,596,787,635,616,116,
191,517,396,444,978,600,000,793,130,972,557,962,962,704,886,625,339,114,123,
111,714,078,762,000,107,824,939,421,665,695,683,360,121,896,596,331,278,967,
268,066,659,232,351,100,876,335,223,841,259,035,233,619,510,499,210,261,669,
809,756,043,521,174,045,620,071,232,594,192,098,470,300,141,072,609,303,149,
057,995,082,341,007,619,538,623,507,666,536,091,702,300,442,238,365,059,142,
838,266,490,540,965,015,680,012,890,008,457,983,940,026,938,060,052,181,911,
266,470,892,127,600,215,706,893,326,699,695,770,340,924,464,516,891,403,487,
627,704,923,221,206,625,776,498,447,610,197,393,211,342,966,617,092,530,028,
419,573,139,920,416,963,248,232,855,413,220,932,868,982,898,523,904,472,256,
855,501,174,072,514,647,706,920,588,609,040,045,279,158,809,964,162,001,875,
808,864,979,175,725,168,408,878,035,062,231,028,036,251,359,902,694,344,880,
033,337,378,824,065,694,190,632,084,062,254,701,019,848,579,275,292,752,140,
841,985,835,153,725,768,099,868,374,447,080,197,742,870,286,412,750,531,559,
151,040,758,183,789,910,648,067,146,453,226,845,675,507,114,088,342,435,365,
090,372,014,832,245,128,652,849,073,326,275,644,622,604,254,333,788,557,239,
089,358,994,744,693,139,183,247,742,411,583,270,859,301,008,545,173,943,218,
558,319,312,401,610,083,616,502,432,572,883,966,285,549,576,698,555,744,113,
049,893,456,476,965,231,980,819,688,404,154,518,881,207,619,633,150,026,004,
371,290,636,257,176,607,340,566,918,878,557,181,968,395,822,542,682,895,151,
215,262,478,636,655,187,380,801,404,985,840,855,782,598,585,787,667,966,680,
694,565,984,166,098,368,466,432,881,500,724,420,487,763,569,109,277,120,146,
500,450,751,509,035,461,385,869,833,441,955,300,069,328,243,700,672,510,240,
854,062,354,884,088,520,083,158,706,128,572,096,034,212,901,606,527,801,686,
323,236,330,754,551,660,629,724,882,167,040,297,497,038,379,784,279,445,934,
391,421,938,987,105,323,848,569,394,979,405,242,044,007,085,510,535,016,359,
738,378,350,921,296,878,451,302,234,029,958,207,208,203,733,759,670,755,160,
621,621,988,119,361,908,177,186,501,378,564,372,294,695,533,481,825,561,158,
431,384,690,910,944,660,584,765,037,168,352,735,355,345,456,838,642,751,318,
835,013,471,868,907,166,893,643,418,585,347,201,364,383,328,564,225,554,457,
608,346,329,507,588,231,075,478,994,913,935,010,686,797,911,918,230,844,854,
101,938,048,780,285,217,563,613,055,219,571,946,760,212,045,839,684,434,379,
277,651,485,106,879,295,933,974,078,908,027,095,475,354,654,168,708,197,728,
355,599,204,602,808,122,855,984,336,748,818,625,654,875,461,411,284,998,353,
375,592,868,963,488,997,015,058,137,199,352,816,512,126,848,628,265,202,152,
432,620,721,283,826,528,100,564,405,018,497,877,039,256,656,970,903,491,786,
649,903,768,914,830,161,869,104,785,585,030,160,685,763,000,389,297,809,872,
628,861,941,396,870,690,639,402,011,146,781,576,268,633,026,165,453,621,254,
196,676,998,715,738,144,237,019,781,392,910,974,082,504,182,353,198,028,149,
916,989,632,482,864,138,502,074,160,108,262,400,530,304,365,425,424,745,547,
510,664,332,914,754,180,923,441,591,449,498,056,903,701,972,779,557,747,687,
347,743,740,970,788,903,696,468,988,402,103,347,297,086,401,423,216,061,231,
256,759,398,537,384,053,063,341,383,858,149,924,316,628,070,949,067,155,094,
389,291,850,112,248,382,848,537,769,831,062,071,464,255,956,947,228,610,189,
411,340,025,225,610,074,913,026,418,057,795,134,513,399,009,038,924,512,609,
131,286,795,134,355,295,520,898,318,821,041,483,234,589,218,870,252,160,444,
612,775,981,489,083,619,569,310,504,853,685,229,997,283,256,634,405,382,892,
201,921,473,730,459,260,724,965,488,757,386,668,968,438,002,082,885,387,806,
846,149,941,362,235,529,884,094,554,537,831,328,502,437,675,790,035,193,479,
488,825,954,893,223,453,981,626,376,023,423,384,003,571,288,311,132,132,173,
358,653,397,536,968,308,956,717,407,378,359,611,806,329,470,625,437,663,409,
629,193,903,535,718,975,309,625,624,612,795,257,299,647,586,945,338,154,282,
103,569,568,839,014,523,126,332,020,598,374,553,322,016,019,816,849,029,382,
254,142,607,488,277,707,300,576,502,071,706,370,925,477,107,039,091,758,763,
702,471,571,634,542,683,406,169,904,714,960,163,371,916,376,886,754,471,913,
717,928,022,732,183,257,447,126,621,391,894,959,512,894,009,236,729,858,945,
531,994,292,109,904,739,463,074,188,905,887,834,556,313,169,765,527,516,196,
404,806,362,884,997,971,543,062,067,034,168,329,278,217,380,973,574,836,565,
395,739,359,851,143,499,607,638,691,562,976,244,001,505,001,840,179,380,506,
768,431,532,151,128,146,199,170,017,752,118,963,937,534,135,162,586,941,334,
363,920,870,470,124,445,278,298,682,885,325,629,147,285,527,506,634,683,266,
166,776,970,082,001,027,289,482,270,333,395,699,989,397,957,837,055,799,417,
870,528,486,009,000,423,247,118,567,926,884,334,183,306,652,021,166,856,336,
146,830,537,583,275,320,527,096,188,261,333,030,130,670,260,884,747,498,103,
222,391,142,212,932,259,162,029,838,017,586,849,361,186,916,786,013,795,912,
693,007,108,116,321,908,741,615,731,237,834,287,133,354,621,668,838,818,529,
170,658,515,971,507,781,208,258,152,530,017,690,697,800,723,171,973,544,695,
671,373,629,995,908,524,202,822,161,366,556,511,407,439,478,122,685,997,480,
175,902,490,594,512,014,061,521,445,160,588,422,875,262,034,159,355,261,567,
680,879,423,768,772,545,041,120,970,864,462,941,295,126,458,794,612,439,554,
348,585,925,979,235,455,660,451,739,496,817,133,372,320,385,881,005,613,437,
346,221,387,650,013,548,742,466,903,266,100,235,951,838,794,283,671,598,375,
669,614,731,816,415,737,812,438,597,784,182,185,704,635,163,816,500,917,067,
232,436,308,698,423,581,885,329,947,249,186,489,781,416,885,531,171,824,514,
084,760,064,418,134,044,624,861,673,871,992,627,610,979,490,461,422,927,471,
307,547,651,760,871,556,917,644,171,415,759,103,336,916,698,232,195,449,431,
736,095,207,973,446,039,326,461,636,175,216,483,539,435,313,542,318,053,025,
168,828,547,689,585,794,649,031,575,499,714,841,273,861,891,774,173,048,358,
898,079,477,782,249,391,631,583,943,119,842,718,490,755,313,710,251,057,161,
996,090,468,472,224,811,390,267,990,823,913,096,803,106,236,449,838,173,180,
256,521,531,558,968,563,094,813,354,013,419,442,320,770,972,627,369,327,889,
006,089,861,292,905,452,182,292,206,795,768,094,338,483,427,000,174,177,465,
513,520,518,106,166,459,429,896,154,401,903,607,182,712,021,930,348,771,525,
901,418,395,882,911,207,755,986,886,421,718,013,142,615,952,766,417,303,330,
271,398,744,902,810,180,808,518,194,098,217,718,810,694,235,096,794,262,676,
835,849,358,423,358,304,568,219,294,175,887,290,390,752,864,762,492,525,309,
334,770,347,953,153,094,032,985,130,872,274,086,650,725,105,467,960,690,463,
579,033,645,106,931,993,589,614,549,493,220,722,608,343,997,719,952,622,867,
096,198,020,090,020,376,620,093,289,638,841,967,244,417,739,093,403,744,074,
571,585,078,539,830,593,725,376,846,419,966,867,168,684,436,614,960,525,077,
752,030,045,210,698,478,736,614,880,322,967,067,764,130,111,764,876,381,876,
877,793,889,340,053,772,954,983,417,765,118,727,585,887,073,148,906,718,864,
341,784,888,643,303,876,999,610,482,059,229,824,837,426,894,561,353,392,495,
081,848,758,416,230,062,041,937,197,709,426,227,849,915,536,576,422,738,931,
769,189,295,322,167,288,996,563,754,813,860,102,788,407,886,481,482,710,307,
199,796,310,123,078,368,149,120,884,355,823,456,012,592,825,040,778,692,833,
536,152,342,634,966,861,702,521,863,685,985,514,777,151,916,593,762,457,254,
418,916,555,269,626,952,335,039,321,832,448,562,481,524,087,599,346,588,977,
934,111,382,669,854,301,301,267,072,189,201,983,896,550,938,090,714,084,270,
811,988,011,567,694,871,084,625,225,298,852,060,171,910,756,656,624,418,121,
993,673,277,957,824,967,143,470,227,586,415,164,595,870,977,411,264,920,378,
045,140,705,564,730,515,684,691,864,380,992,363,194,027,289,179,953,140,502,
175,467,830,888,161,284,721,745,604,162,255,152,509,568,065,438,111,820,688,
180,567,509,392,183,896,054,622,861,284,097,330,063,064,729,463,457,190,815,
374,696,765,864,293,278,279,899,040,668,069,221,153,576,964,506,179,434,340,
192,224,944,569,783,081,876,678,107,972,253,122,902,196,668,908,419,426,476,
249,284,514,519,003,154,885,193,656,058,901,161,492,385,217,559,564,931,644,
748,135,010,839,172,256,341,631,104,766,750,706,969,069,777,473,219,645,462,
064,637,300,279,552,058,422,891,039,660,022,818,349,899,776,305,618,367,657,
033,597,724,276,805,472,522,806,927,210,966,170,816,712,874,182,846,491,028,
733,352,086,058,981,495,106,886,246,800,072,868,003,159,628,812,757,196,583,
700,028,372,657,805,982,148,667,965,990,661,986,894,621,276,833,097,965,132,
007,256,732,200,143,831,463,005,781,714,003,915,626,770,261,787,391,344,663,
116,934,364,262,597,427,661,547,118,569,140,783,672,258,988,187,526,731,397,
835,702,417,265,409,501,085,748,305,311,392,538,523,202,941,767,350,465,553,
586,745,449,202,996,787,589,171,440,200,954,304,642,089,354,336,571,354,660,
542,119,206,972,627,448,905,422,621,043,287,154,129,369,740,048,515,683,646,
432,297,538,004,627,415,212,754,913,054,368,816,529,736,728,311,702,162,278,
477,540,824,383,169,430,117,404,421,210,228,001,067,361,702,553,373,662,046,
589,839,425,265,641,268,263,922,767,850,399,832,949,083,931,414,143,420,315,
791,774,470,720,636,931,713,392,591,189,325,317,038,172,777,678,257,589,115,
757,900,100,750,878,892,863,746,811,250,834,179,963,645,646,574,968,312,910,
949,397,762,457,883,337,729,701,505,735,562,795,298,685,732,168,542,400,686,
000,347,344,249,461,289,709,579,569,962,144,462,061,188,699,884,510,092,497,
977,998,036,067,311,958,395,125,746,065,319,619,090,423,189,009,509,940,056,
469,979,774,626,598,462,676,614,455,781,137,254,664,406,347,838,548,494,590,
053,469,376,436,744,458,412,936,632,591,476,456,730,944,783,242,877,059,621,
597,163,178,411,385,290,738,574,110,341,838,764,599,708,883,684,794,240,786,
404,181,430,278,582,654,790,073,087,719,131,369,805,882,710,360,341,389,585,
276,641,074,199,787,379,016,473,630,295,868,205,622,080,097,257,809,109,714,
521,603,142,651,816,305,540,882,198,973,363,995,299,768,466,513,573,629,995,
881,201,632,146,196,244,644,227,798,695,987,637,262,963,751,849,087,677,596,
012,594,173,646,394,005,556,178,318,352,398,924,911,769,034,598,663,274,241,
523,927,764,677,880,284,425,542,331,087,755,759,372,983,383,426,385,568,154,
750,559,502,604,041,525,667,278,204,409,010,293,312,512,265,092,489,234,862,
085,549,914,711,448,584,494,611,920,691,532,292,669,016,120,198,363,965,152,
384,554,703,049,276,278,100,773,502,351,240,710,947,019,356,403,565,195,079,
075,228,384,917,845,498,495,911,801,198,166,994,657,350,144,288,539,497,232,
721,067,770,442,935,459,100,429,364,064,709,757,699,868,013,000,881,811,204,
790,275,448,046,207,898,469,042,941,304,608,013,534,289,518,837,488,121,039,
313,764,587,249,304,855,865,127,223,012,405,512,667,504,984,892,827,531,079,
009,211,233,144,175,924,211,742,104,211,447,571,509,800,673,224,693,552,711,
216,411,166,883,246,817,815,589,812,885,360,187,254,850,884,246,815,253,368,
276,543,631,189,081,811,171,231,432,378,915,999,733,860,868,297,252,305,735,
079,842,397,560,835,508,567,122,788,694,002,916,090,609,709,321,899,783,288,
077,222,375,693,195,717,017,082,740,963,333,295,333,268,829,970,380,934,975,
767,431,056,493,216,138,238,249,279,515,189,317,020,332,082,032,638,085,766,
522,452,304,530,759,646,166,058,021,283,885,067,520,001,839,336,194,216,621,
378,661,915,924,359,959,892,286,475,279,430,843,784,361,160,507,614,965,259,
816,164,793,633,427,562,539,410,165,958,255,770,855,559,495,801,342,680,481,
590,383,247,460,371,234,610,921,063,704,111,688,681,935,791,090,024,846,965,
956,155,122,977,612,069,607,878,489,529,024,879,658,490,355,396,964,295,581,
421,688,844,841,832,160,333,884,145,647,146,512,930,102,486,360,385,727,948,
199,285,257,883,100,582,654,111,240,980,153,485,228,197,275,320,883,520,777,
052,769,696,432,504,091,444,440,504,476,088,132,343,425,496,092,848,386,855,
992,986,655,542,325,186,554,784,102,722,600,386,945,118,932,502,058,067,474,
148,898,261,196,657,592,878,073,497,334,209,920,382,684,531,562,904,377,727,
914,322,590,469,575,873,327,336,340,711,787,330,854,520,914,216,156,870,071,
677,226,159,286,829,575,013,049,429,767,353,981,871,820,342,500,187,374,492,
334,149,855,418,048,345,444,397,834,926,036,789,774,303,180,048,908,786,154,
872,330,928,905,952,544,214,926,519,877,021,357,694,635,389,150,786,838,064,
356,014,584,834,143,426,641,956,014,814,650,867,763,772,991,857,679,838,856,
158,092,937,408,526,163,686,153,311,096,228,061,417,448,874,049,713,444,714,
484,639,151,516,484,179,194,048,320,968,698,148,266,088,520,348,056,344,937,
677,238,480,772,857,397,083,272,702,261,675,366,099,408,113,168,391,439,895,
123,694,925,954,323,481,219,414,604,846,001,902,146,370,354,365,587,454,266,
783,250,572,813,112,351,738,858,621,130,896,720,140,188,020,625,004,431,565,
008,938,498,247,596,516,497,304,437,745,698,767,224,970,122,187,574,374,722,
926,523,738,885,383,666,431,776,669,695,626,155,294,108,698,532,820,472,691,
870,032,095,787,755,992,550,074,444,331,080,855,441,889,951,940,725,710,999,
942,383,943,068,465,976,888,789,337,657,977,781,726,473,476,386,087,679,149,
430,214,679,603,968,786,478,707,864,878,411,874,545,971,940,886,354,173,611,
099,740,582,859,816,370,693,559,932,922,307,663,249,027,604,284,804,847,050,
774,948,345,617,343,533,372,881,762,375,958,772,037,827,927,981,121,835,440,
600,250,566,778,618,215,213,915,171,794,348,361,465,828,126,047,721,575,132,
770,327,194,325,717,225,714,708,776,519,323,842,546,439,905,028,432,116,410,
527,386,124,174,009,914,246,066,706,044,773,989,952,833,793,116,275,785,339,
224,051,800,511,515,430,302,417,349,288,078,499,119,939,795,874,356,153,174,
852,844,718,154,073,474,938,575,925,421,054,937,660,733,603,930,102,325,258,
009,429,993,802,065,586,264,970,004,549,770,069,256,777,293,676,206,045,989,
924,264,458,840,159,621,246,646,608,263,429,909,770,209,578,501,219,325,410,
464,573,218,714,453,799,016,133,158,760,168,454,090,975,780,760,879,087,578,
590,637,356,682,513,414,800,744,734,899,898,789,867,782,187,069,965,122,395,
999,826,054,058,600,284,039,002,818,241,423,152,737,412,792,410,399,086,016,
591,426,976,665,975,512,641,895,232,187,524,795,354,631,617,546,644,175,859,
629,082,862,716,381,889,478,018,573,690,385,751,892,669,706,961,250,058,035,
643,066,569,090,837,376,218,033,027,409,960,305,061,152,691,390,355,011,965,
743,527,113,887,168,335,698,207,760,942,100,973,785,229,392,449,887,530,908,
158,480,273,286,737,462,040,006,981,095,366,844,668,935,720,351,356,242,557,
260,065,508,430,658,082,090,426,161,031,952,253,545,979,018,634,899,655,285,
490,959,740,656,046,748,266,302,323,403,426,111,566,352,413,753,575,010,051,
608,141,155,450,630,180,381,215,366,184,290,176,994,829,918,950,879,011,410,
713,528,753,678,305,178,506,755,689,283,207,150,311,905,847,029,324,321,098,
953,685,512,662,951,213,286,588,045,916,562,118,528,536,181,301,759,483,321,
346,276,599,021,675,529,366,481,712,836,756,430,425,482,722,102,405,514,208,
221,916,798,934,530,875,284,745,565,802,538,077,436,922,835,214,977,593,648,
529,183,268,813,980,087,358,789,205,552,880,207,458,882,759,230,900,007,170,
302,449,512,148,184,379,239,587,976,519,831,226,635,270,377,410,543,331,009,
591,253,071,705,306,264,004,780,978,948,673,358,802,299,373,687,444,319,799,
692,022,176,392,617,083,652,092,248,389,942,591,937,720,767,297,588,418,326,
250,016,005,679,950,449,139,907,815,885,981,328,423,704,343,634,621,662,975,
324,143,762,491,925,539,078,105,693,957,851,054,018,484,747,010,721,225,117,
040,896,380,081,569,565,157,364,928,904,934,543,885,864,402,559,540,222,552,
431,366,661,119,225,683,290,183,017,456,201,197,875,396,053,810,812,604,536,
544,147,173,317,530,856,056,282,300,034,456,680,972,109,992,108,430,052,331,
435,086,513,105,855,847,026,838,444,208,553,640,416,217,422,079,032,141,258,
993,291,903,115,377,745,714,406,915,973,237,488,595,961,413,634,452,221,135,
562,507,895,485,656,035,267,950,651,202,199,668,075,477,497,659,449,673,098,
053,879,152,156,451,024,344,125,070,973,207,373,944,768,495,199,888,168,405,
578,359,147,564,302,543,924,377,231,450,931,582,128,441,968,401,474,235,943,
859,320,230,138,520,368,072,195,078,272,755,591,607,268,724,310,319,824,373,
886,904,140,412,430,526,636,196,181,284,418,150,195,791,920,663,523,933,778,
662,225,748,597,660,033,782,448,141,514,414,353,971,987,097,515,577,945,916,
763,475,584,742,927,299,360,103,726,297,999,095,542,001,196,575,881,482,391,
364,222,747,405,881,715,634,364,433,454,867,872,996,427,251,387,984,973,611,
011,435,403,550,087,842,952,155,569,654,733,498,125,368,179,162,097,008,495,
155,023,235,007,281,622,264,105,631,359,872,734,845,293,729,933,947,897,996,
001,477,586,317,816,430,120,032,685,371,297,325,996,426,368,426,668,383,788,
191,506,564,031,246,765,931,440,178,888,689,792,199,517,070,127,575,327,617,
889,340,391,413,238,517,208,085,314,013,602,042,474,402,600,859,552,113,896,
018,112,289,554,621,010,232,866,434,845,293,345,016,604,683,810,372,821,190,
198,940,615,727,534,309,321,725,543,067,165,509,518,063,532,318,598,669,282,
513,242,938,042,083,675,582,936,515,848,619,371,018,471,402,735,803,658,578,
917,940,164,220,108,361,929,015,467,504,877,315,657,642,447,800,596,443,210,
370,570,219,468,131,885,785,324,441,113,358,218,321,200,881,332,975,465,360,
468,801,964,031,161,146,869,650,823,801,173,267,944,548,451,575,415,209,314,
226,107,555,046,942,135,996,115,590,335,417,577,769,746,100,535,274,988,275,
045,593,214,833,316,115,784,663,474,772,410,880,186,326,194,357,962,013,455,
786,760,147,364,772,575,557,338,477,518,433,221,419,869,413,298,727,546,214,
183,262,953,376,351,205,027,471,547,152,067,659,656,438,417,619,593,280,902,
277,664,781,410,035,038,342,099,239,152,797,799,319,554,006,339,953,336,677,
571,170,103,118,107,722,744,502,158,578,175,648,177,823,779,351,705,680,375,
188,830,200,463,297,647,894,040,508,086,302,318,803,322,414,344,556,039,256,
894,568,145,767,845,168,910,284,106,778,756,743,570,015,516,485,643,111,632,
346,958,800,276,935,065,968,588,421,899,520,271,552,704,619,320,897,202,145,
922,408,866,643,410,944,932,243,706,095,189,779,409,458,057,437,237,870,416,
870,415,960,209,044,391,087,014,272,279,041,043,805,997,355,391,269,119,752,
756,178,968,362,127,561,592,652,058,497,079,290,255,045,349,308,625,994,841,
224,913,600,687,770,606,604,289,544,517,643,440,015,322,819,031,901,595,784,
536,618,382,338,231,963,139,205,363,436,374,366,076,752,547,422,942,597,019,
988,240,161,195,392,792,997,046,216,728,014,056,080,789,423,766,658,664,786,
677,450,474,076,976,856,384,577,934,621,914,751,932,119,595,081,569,452,409,
284,944,642,830,806,701,519,148,066,735,406,221,270,737,228,441,871,174,975,
278,083,486,022,219,489,592,170,589,999,765,752,173,476,020,652,175,404,869,
804,881,778,297,950,373,142,154,556,540,801,109,302,901,347,490,578,380,496,
574,450,351,897,807,959,133,212,254,941,013,976,003,632,774,662,586,153,162,
015,937,725,435,993,891,236,433,312,892,216,871,329,701,552,835,014,008,768,
286,486,086,894,289,718,315,319,110,539,488,744,285,434,819,069,535,272,320,
458,650,016,835,969,267,356,389,698,552,113,535,941,394,433,446,072,712,092,
341,764,935,268,836,925,962,681,703,147,268,372,065,647,920,412,048,743,444,
117,953,167,448,368,163,080,948,706,487,028,766,238,010,072,640,794,337,753,
613,948,378,473,652,208,034,826,902,713,303,535,323,443,931,029,102,318,916,
711,726,259,163,261,234,661,973,406,643,726,232,503,489,334,820,855,797,918,
236,115,505,641,188,877,263,392,378,649,634,034,455,779,167,233,224,276,088,
821,480,106,104,327,621,943,633,981,296,486,872,373,371,132,466,686,698,110,
498,452,176,473,978,979,737,126,136,136,525,980,549,739,585,184,141,664,099,
787,060,557,549,602,809,132,765,457,286,603,278,303,581,819,951,234,602,588,
203,192,232,455,018,292,336,654,719,709,319,470,599,184,030,485,597,573,427,
317,344,557,108,045,604,857,914,404,225,797,467,746,741,643,747,109,482,424,
227,776,932,471,778,776,513,912,967,178,276,899,953,081,833,040,907,674,425,
572,039,105,606,254,030,751,032,097,085,585,808,511,239,073,541,871,033,733,
103,686,398,111,866,544,167,599,713,415,376,354,400,021,867,540,458,904,589,
445,383,934,367,614,510,497,891,081,113,622,062,761,401,781,367,252,708,718,
759,120,980,610,106,421,565,751,173,338,229,578,654,586,118,029,200,900,170,
541,483,199,708,402,965,719,141,124,929,986,487,011,515,764,024,218,232,870,
295,486,811,636,587,992,900,919,818,701,725,541,385,935,624,785,360,927,441,
745,846,060,484,938,400,709,073,082,328,596,527,177,595,914,209,674,600,230,
423,095,237,275,427,832,131,236,385,344,861,374,997,788,477,371,933,673,775,
983,773,793,730,936,640,308,921,389,772,674,067,217,090,558,504,872,444,130,
948,662,193,298,205,611,411,871,280,892,982,130,773,740,535,049,571,783,736,
206,927,285,644,464,235,282,073,005,278,936,033,250,238,518,113,746,458,072,
577,975,324,007,163,494,905,980,757,158,923,694,781,435,402,181,298,094,685,
132,092,120,783,470,930,664,201,558,740,608,898,766,662,967,955,165,819,508,
127,727,633,979,478,630,425,964,629,586,794,947,596,960,574,976,216,131,799,
752,424,842,952,882,366,385,386,793,941,651,759,700,558,802,178,106,945,716,
456,787,471,416,171,298,319,955,250,973,254,784,292,882,283,756,393,955,750,
132,141,539,118,847,502,051,237,749,883,299,719,907,045,470,681,644,462,528,
047,645,771,258,356,089,798,139,045,788,971,358,409,081,632,391,037,779,610,
918,785,058,700,440,831,289,635,134,946,617,402,229,110,207,231,340,165,443,
003,090,647,690,077,066,532,100,619,983,968,319,902,658,021,469,072,837,024,
407,045,544,315,948,168,001,218,147,573,350,235,307,507,866,278,347,915,052,
255,391,512,743,812,235,016,468,543,279,074,809,390,034,314,348,966,687,679,
626,004,959,977,961,220,667,090,314,546,099,471,589,382,894,561,971,024,054,
176,472,741,416,527,763,774,885,634,420,729,310,479,487,562,893,679,362,176,
656,096,166,062,447,335,035,097,672,885,899,340,989,890,297,169,888,723,693,
492,783,543,330,321,264,086,991,025,373,541,707,036,249,314,883,275,415,246,
327,492,161,993,097,091,820,553,978,122,048,750,321,857,604,980,781,814,236,
986,865,380,955,888,970,013,303,735,198,998,481,601,247,334,817,779,673,590,
347,878,159,615,502,068,942,333,292,489,058,867,694,895,520,281,945,994,445,
190,230,777,631,631,927,562,834,049,286,487,363,034,446,002,289,789,037,753,
283,027,237,919,238,314,285,609,164,834,033,074,790,228,614,859,165,591,347,
254,583,843,453,035,180,697,369,180,113,464,980,395,262,321,109,238,352,423,
807,030,409,617,023,385,245,473,010,200,338,539,251,644,998,659,190,622,499,
803,350,419,739,844,722,465,702,649,999,594,288,707,714,168,473,044,300,761,
505,703,886,770,812,880,829,112,579,088,989,741,164,604,887,000,444,594,004,
275,755,381,647,001,967,812,512,346,817,115,617,874,810,794,722,914,912,686,
510,847,577,262,762,821,151,497,541,284,193,615,227,071,191,861,803,905,271,
084,239,858,704,315,795,050,025,851,579,339,755,842,283,122,564,289,136,653,
322,069,696,483,020,426,146,122,652,510,146,833,605,708,522,122,796,918,657,
154,194,504,767,856,522,499,268,781,710,646,389,304,489,432,220,693,815,563,
102,514,017,519,369,689,545,873,327,352,799,040,687,715,923,428,374,410,744,
702,649,593,230,836,634,103,380,370,806,489,315,696,116,514,638,548,465,662,
282,316,203,700,379,756,758,336,789,322,004,161,670,976,883,070,278,411,151,
655,835,984,305,449,209,083,229,907,575,580,867,320,530,301,611,063,095,737,
619,903,757,701,350,015,847,253,235,641,514,010,843,862,763,029,609,117,897,
726,599,410,500,534,740,379,631,754,233,824,456,942,240,313,858,322,841,830,
177,765,351,978,060,097,921,631,212,648,250,886,019,763,489,651,471,725,755,
031,931,009,622,221,163,864,109,158,333,035,822,209,629,763,960,849,648,438,
349,518,619,098,655,685,500,450,813,852,104,582,069,749,908,459,072,836,284,
462,428,433,819,060,321,619,217,588,595,695,948,498,922,948,466,800,197,845,
977,786,647,484,021,843,863,349,672,576,598,009,248,293,681,754,548,304,811,
805,021,581,552,255,935,101,622,198,610,137,293,436,176,021,578,576,928,273,
603,767,199,989,259,993,462,355,402,564,680,680,321,338,831,475,034,094,608,
494,239,008,038,426,050,346,997,155,868,931,703,070,035,933,085,486,782,889,
951,150,864,543,929,398,922,141,667,420,703,429,234,346,190,903,132,762,946,
162,105,066,945,060,064,257,389,458,281,267,193,985,753,510,504,073,311,434,
489,628,686,605,325,962,594,864,879,783,430,793,341,887,596,661,607,281,796,
584,641,961,212,131,931,973,627,386,580,790,403,623,600,720,251,226,790,988,
379,851,644,622,438,390,870,050,717,969,831,392,217,222,957,345,088,298,178,
668,145,252,236,854,295,558,704,547,865,344,967,692,355,296,576,890,911,796,
556,335,271,307,816,603,808,946,666,859,754,265,189,216,262,297,935,236,285,
885,961,071,164,782,699,849,316,646,950,692,615,979,630,786,198,703,073,606,
935,118,448,464,805,395,294,292,693,439,789,865,303,263,488,622,488,750,711,
182,661,540,176,092,872,257,163,411,263,081,871,092,869,720,018,912,657,228,
238,601,386,450,785,176,325,629,227,401,521,298,555,779,582,153,438,774,854,
381,501,136,325,195,584,682,672,342,416,142,278,431,410,531,569,828,802,079,
806,149,481,801,003,431,953,501,110,477,307,987,763,942,486,841,060,831,517,
527,354,049,836,033,485,606,015,326,163,835,883,771,734,739,815,117,942,854,
692,032,644,935,387,163,002,584,734,456,087,587,802,102,277,899,107,592,405,
209,878,471,411,328,315,687,337,089,507,006,538,676,149,140,374,295,871,603,
168,923,871,761,871,766,111,984,786,958,774,451,662,042,480,633,399,776,984,
686,681,663,161,530,080,685,328,823,641,220,328,449,223,142,859,865,049,606,
736,998,795,186,571,411,017,323,139,400,841,608,931,925,534,058,761,309,164,
889,561,662,628,640,086,599,222,810,176,254,824,693,334,588,348,163,518,787,
230,875,745,850,031,599,780,268,735,821,489,618,316,546,556,527,630,239,470,
375,802,354,868,998,205,222,505,297,705,114,836,425,755,257,664,811,682,151,
246,416,356,442,310,913,533,089,288,740,962,701,266,321,559,678,575,395,919,
379,604,426,115,812,082,935,435,137,459,810,986,123,646,730,661,108,817,965,
067,341,055,819,919,302,674,188,970,077,782,914,124,181,180,365,932,740,069,
789,811,373,390,639,060,752,414,057,990,036,551,910,100,368,614,517,546,866,
295,479,962,026,643,855,258,833,628,598,055,920,644,778,726,937,045,590,565,
771,757,265,518,564,872,459,072,129,673,026,879,427,607,988,013,144,283,225,
344,691,859,428,749,113,133,942,736,151,747,522,097,372,527,288,376,097,728,
373,993,370,685,000,999,566,511,490,639,754,171,433,314,714,215,653,054,771,
335,439,695,546,724,560,603,567,312,899,656,212,755,315,341,039,015,194,781,
202,357,906,300,749,087,389,813,925,884,121,314,635,301,277,336,246,317,625,
162,535,163,907,081,354,122,953,906,463,864,449,646,380,824,910,928,632,815,
319,631,821,724,515,141,216,591,894,564,833,936,439,980,655,476,718,833,734,
266,603,067,585,823,460,385,693,518,985,709,109,398,744,002,597,160,293,962,
206,245,823,281,797,026,270,311,717,525,851,133,877,662,382,454,300,121,874,
805,448,163,462,460,794,025,189,192,401,735,444,697,485,703,388,286,617,177,
024,741,060,599,513,690,253,342,881,471,214,811,290,142,593,248,226,744,398,
653,577,642,527,340,413,621,528,214,074,054,059,453,329,648,354,871,788,439,
966,732,519,735,000,494,470,375,154,397,355,572,997,162,051,561,577,790,919,
106,095,675,070,542,160,858,066,315,936,248,007,473,351,236,914,019,079,570,
456,918,160,267,750,130,676,275,508,390,515,902,081,994,396,949,371,457,958,
130,418,998,417,049,145,928,425,049,029,594,206,151,611,876,476,696,283,936,
323,252,177,488,049,749,993,296,053,640,842,851,549,045,137,576,396,823,767,
415,517,457,649,626,076,154,171,352,259,745,859,575,901,798,214,533,413,379,
502,030,958,401,899,602,391,829,094,843,154,616,047,650,280,648,119,988,000,
663,899,579,993,250,474,547,421,223,098,285,180,704,467,037,076,222,383,088,
352,016,787,228,171,962,433,458,539,874,135,895,870,088,366,877,121,855,976,
368,346,182,449,783,036,561,232,597,131,500,488,712,110,686,331,901,454,350,
959,929,351,750,256,428,060,109,331,883,985,717,898,938,887,588,101,364,973,
394,583,708,772,443,176,376,031,444,821,013,133,615,073,089,055,443,720,509,
501,947,409,012,750,341,798,721,098,004,231,300,714,831,409,792,406,010,126,
633,226,284,021,630,152,219,155,756,167,137,704,395,832,200,415,080,620,306,
106,182,239,789,138,896,859,678,928,463,232,846,389,349,123,753,707,665,735,
903,354,024,454,098,174,049,498,694,325,931,597,514,116,000,386,058,803,795,
186,697,826,667,236,586,098,799,743,154,865,081,779,649,298,444,447,129,129,
684,682,090,773,639,587,853,712,421,152,749,793,790,114,386,361,406,067,798,
439,763,566,462,361,223,821,675,232,464,630,497,227,887,430,190,286,624,673,
058,775,619,765,229,519,272,477,866,663,829,388,878,121,051,216,137,097,085,
295,171,194,329,214,437,458,827,707,249,753,239,771,880,057,585,627,501,422,
526,249,129,215,492,711,460,977,978,411,295,444,253,850,480,109,203,411,639,
727,228,292,046,131,207,800,517,427,436,720,429,896,633,470,568,539,276,937,
010,012,972,973,085,064,400,926,845,568,952,314,830,177,000,910,758,684,452,
479,111,635,983,902,367,142,012,542,738,370,213,779,126,338,647,060,984,422,
058,794,055,749,754,977,052,096,016,047,774,198,233,729,455,904,566,767,871,
427,982,820,056,613,503,955,567,636,308,163,765,640,534,197,065,842,780,511,
996,060,572,231,750,406,276,967,626,375,912,971,245,809,794,774,400,700,820,
907,267,911,201,842,618,399,474,320,288,358,759,753,330,606,448,250,987,186,
635,757,370,491,983,472,879,703,969,423,913,854,560,250,127,860,798,975,432,
216,945,583,286,220,802,430,975,070,115,877,163,952,324,511,681,348,116,594,
323,688,283,646,928,214,791,961,643,321,319,253,829,634,372,078,100,926,468,
859,926,948,840,615,008,013,411,768,203,334,224,895,630,538,830,602,054,409,
175,690,119,941,076,054,956,196,190,715,308,525,690,503,507,935,823,421,070,
545,764,659,881,107,871,540,133,537,751,900,776,971,611,147,604,695,722,807,
078,504,332,261,051,964,760,066,788,645,394,827,762,854,315,738,423,584,043,
543,993,810,464,500,435,482,906,364,555,227,164,342,747,510,056,807,729,403,
180,047,115,202,225,181,665,509,052,826,446,590,354,167,299,733,710,188,447,
747,080,466,101,159,493,441,767,557,889,980,915,611,207,831,323,653,180,891,
812,676,260,456,038,684,874,366,836,676,589,008,291,068,437,776,862,937,830,
523,351,709,649,208,980,166,285,499,980,898,214,757,412,147,049,117,891,741,
551,816,176,511,743,430,191,106,820,501,320,500,941,757,375,883,711,793,287,
835,663,724,412,175,368,963,377,695,336,744,953,557,398,899,580,746,960,112,
299,994,503,392,907,672,788,302,959,037,492,072,775,816,901,328,370,394,449,
749,916,554,153,604,280,638,590,001,341,514,613,073,888,484,737,225,347,638,
958,140,291,291,931,679,028,815,283,412,644,837,148,476,271,790,834,857,014,
157,248,877,606,470,281,627,850,871,704,195,056,614,868,077,221,928,809,710,
044,761,029,813,822,016,142,748,548,917,983,837,600,271,327,323,098,537,223,
141,565,308,270,585,997,166,784,232,116,967,180,233,392,401,053,785,152,744,
060,550,967,811,104,538,807,515,023,598,612,420,175,011,992,668,962,770,030,
208,246,225,932,671,141,336,686,713,539,280,688,664,553,141,911,177,650,597,
999,428,708,446,876,966,739,460,814,046,608,292,210,718,637,339,064,942,753,
757,156,027,302,205,479,952,485,687,111,638,799,346,254,528,199,358,832,880,
061,917,450,634,541,457,721,977,873,501,975,457,088,663,600,617,208,326,637,
380,293,000,988,391,384,995,920,333,362,291,306,752,427,348,328,551,736,445,
031,003,314,098,329,187,966,824,228,834,238,001,921,968,412,263,523,730,841,
962,903,601,290,218,385,416,687,710,050,445,376,163,598,993,580,441,934,450,
862,234,298,498,557,598,528,253,574,198,372,864,237,508,857,217,997,554,032,
876,337,746,821,053,336,427,385,892,576,170,028,336,387,547,700,440,224,612,
486,036,755,302,493,372,328,932,116,470,699,200,806,493,089,905,007,373,103,
601,980,833,506,545,701,501,237,702,692,768,036,262,148,614,376,221,717,364,
020,313,808,886,224,331,064,897,614,244,145,554,355,286,985,535,833,331,176,
366,938,277,524,275,910,487,277,636,362,913,957,621,584,690,467,521,383,539,
287,955,582,015,621,480,357,122,135,849,366,801,011,976,128,804,955,595,910,
264,715,823,525,641,710,801,404,391,720,481,640,050,511,715,784,127,424,757,
560,342,391,732,612,993,838,845,767,934,545,733,963,824,181,189,861,545,893,
663,883,624,643,665,354,233,659,411,721,004,668,397,586,072,959,352,216,896,
194,953,727,973,957,050,152,728,755,306,405,621,839,504,423,926,649,364,330,
123,843,152,584,646,290,208,468,116,597,806,778,902,433,797,661,222,169,323,
490,736,097,200,500,375,521,513,225,714,240,936,060,524,632,313,363,692,786,
636,363,343,721,451,785,190,628,487,432,477,737,983,884,461,985,728,428,982,
218,461,503,741,934,864,183,368,126,038,183,424,912,531,362,601,645,563,379,
714,098,346,162,471,418,563,699,541,754,718,172,717,361,781,219,408,330,961,
006,255,252,134,706,041,497,388,805,575,051,230,438,788,357,919,135,162,084,
146,405,856,643,306,945,380,583,339,528,960,628,213,160,849,688,884,858,543,
682,008,557,435,725,613,458,015,311,716,046,700,400,846,945,971,213,708,746,
120,876,792,780,738,570,649,366,816,867,586,921,634,576,821,637,014,245,484,
804,957,897,253,313,310,122,014,412,013,529,159,851,619,019,674,846,698,264,
873,095,631,940,243,154,830,123,894,649,968,959,274,597,640,623,171,464,741,
228,861,491,097,414,753,817,532,928,353,427,198,484,428,305,478,493,597,265,
427,787,822,037,197,822,170,343,352,229,331,648,215,591,551,615,876,276,487,
787,906,526,982,099,053,805,821,361,728,846,800,974,933,457,992,823,504,535,
864,287,715,240,661,336,759,012,739,475,431,475,546,077,195,245,650,394,496,
807,227,902,315,755,869,608,311,136,405,043,550,266,649,742,722,108,655,149,
666,717,325,136,310,414,087,084,024,645,570,299,260,082,486,611,761,635,791,
065,729,324,019,850,592,783,428,651,537,143,365,826,896,455,204,674,997,932,
509,574,598,197,727,648,195,986,752,186,471,013,733,464,537,690,382,918,141,
816,040,189,975,978,788,562,606,260,607,721,318,777,305,957,995,515,153,154,
654,488,008,402,022,593,057,006,695,755,688,073,766,804,264,814,924,462,276,
979,931,659,906,663,157,973,690,435,182,948,953,496,887,476,202,608,921,910,
281,322,603,311,094,264,061,448,040,645,989,159,466,258,215,402,519,568,427,
834,300,609,874,968,861,891,360,465,155,956,580,084,539,117,990,140,552,109,
094,895,835,105,293,776,566,184,866,568,536,464,364,102,455,082,703,560,969,
423,171,949,515,836,655,629,461,585,245,747,561,094,231,498,428,650,360,313,
049,021,182,685,674,062,064,112,855,200,014,987,052,124,267,230,981,514,139,
175,827,003,322,816,049,459,583,723,229,034,407,299,526,044,156,231,309,443,
997,329,119,914,844,473,441,614,464,166,722,685,461,222,759,261,284,248,301,
758,382,279,129,963,461,679,920,935,140,376,506,049,824,895,983,889,891,491,
913,915,580,636,367,213,539,768,043,096,505,813,985,396,056,596,684,729,497,
159,104,516,357,849,765,044,215,166,329,582,434,805,360,039,002,235,547,052,
860,531,176,828,087,427,251,342,678,243,895,274,716,482,012,874,577,661,262,
104,904,077,174,323,373,556,017,692,441,686,835,257,701,368,867,413,959,409,
830,338,445,962,841,292,338,508,530,672,981,907,297,642,424,098,408,009,632,
669,033,927,863,900,833,924,293,911,020,106,390,678,318,966,497,258,073,436,
298,927,690,868,543,269,957,910,183,609,462,619,733,514,251,251,322,768,557,
752,536,456,881,448,537,955,740,381,156,743,342,234,467,958,135,419,642,066,
506,621,817,634,275,274,447,473,593,924,748,941,004,695,183,563,960,849,595,
865,146,979,364,867,046,417,405,812,861,899,807,616,456,202,173,549,120,307,
269,300,588,779,305,862,810,941,742,684,056,308,565,584,788,552,749,469,705,
971,135,790,794,295,312,410,268,308,282,822,004,826,540,289,122,169,484,371,
137,849,668,315,700,879,732,464,444,332,565,368,412,146,061,019,593,413,257,
318,869,352,217,887,841,481,660,157,445,762,227,541,712,076,109,337,264,145,
154,097,056,557,873,397,559,714,349,394,445,447,710,804,026,600,981,996,847,
610,126,652,045,382,523,744,608,962,391,865,870,182,226,552,657,253,479,478,
342,326,997,805,046,424,025,196,748,508,463,937,936,215,966,968,475,147,593,
425,653,283,874,447,506,962,235,853,483,201,009,350,619,426,990,710,502,063,
792,653,201,543,894,436,889,880,396,030,870,292,994,901,437,484,844,440,329,
908,527,492,807,249,500,023,398,949,103,583,377,129,170,380,802,091,146,295,
040,686,046,214,889,231,155,688,803,952,606,909,978,284,275,515,622,014,985,
973,460,530,097,119,163,891,471,991,129,359,978,392,269,597,554,552,663,328,
562,290,935,462,414,187,254,200,503,996,249,010,661,604,234,765,871,984,182,
738,966,978,311,502,629,034,725,905,057,672,782,065,119,216,093,495,745,351,
815,770,107,278,483,645,878,902,667,167,259,793,213,506,811,162,903,138,750,
203,345,849,841,537,426,625,381,842,162,093,231,628,997,783,952,449,769,364,
711,760,655,476,379,625,614,810,505,347,342,601,039,593,903,587,076,393,234,
447,629,585,923,878,282,707,210,665,377,459,383,558,517,144,067,948,537,822,
943,968,379,404,574,031,315,817,786,506,673,445,593,628,965,566,320,020,989,
132,322,994,150,890,824,093,300,159,766,775,247,921,703,724,115,853,734,796,
738,991,653,820,442,166,909,285,893,320,970,500,127,475,144,241,148,604,949,
035,522,104,425,525,067,265,518,950,643,354,555,384,185,548,349,607,954,062,
911,651,554,534,305,899,482,406,389,094,983,548,110,165,893,786,258,800,249,
790,725,997,858,310,289,008,132,564,292,121,297,074,509,112,351,691,366,154,
147,624,915,070,968,798,353,997,069,513,678,533,586,212,932,255,578,748,574,
213,936,674,184,864,375,740,276,974,630,422,793,173,685,684,022,777,131,096,
172,025,528,100,643,405,719,441,668,578,582,328,182,352,742,964,825,996,093,
594,408,484,779,528,493,469,061,359,091,698,385,468,414,335,709,736,251,779,
706,747,768,967,093,169,933,149,670,444,272,696,188,896,243,407,992,955,468,
088,240,834,059,714,169,487,507,097,484,264,226,682,094,431,162,685,764,609,
517,340,659,288,065,144,995,302,226,476,886,083,817,570,628,816,101,085,607,
379,898,230,161,447,572,770,008,973,298,816,231,579,374,265,406,035,455,048,
245,938,417,094,472,922,685,522,683,035,355,054,611,026,067,682,325,843,972,
727,804,826,709,207,025,574,057,123,004,954,169,423,722,638,316,852,311,840,
581,695,103,185,106,165,499,934,535,086,006,903,989,796,873,199,886,690,540,
216,859,993,602,223,906,251,765,466,219,352,808,254,646,392,311,251,879,769,
294,334,225,852,132,479,948,656,591,110,977,423,898,469,973,166,098,364,401,
699,792,225,511,684,499,770,614,633,933,824,118,420,358,117,699,327,672,097,
146,782,783,316,817,559,864,536,617,446,524,858,741,005,506,477,102,279,193,
876,214,975,415,387,597,262,009,621,469,867,716,598,121,004,670,642,702,514,
404,357,305,411,411,678,399,726,467,756,731,493,197,680,403,848,914,743,048,
941,107,324,016,962,213,274,186,757,516,164,234,131,957,993,245,866,321,437,
817,893,658,670,438,871,496,890,366,938,823,602,929,798,129,206,319,918,306,
018,996,957,982,941,850,790,073,617,363,998,003,340,587,999,130,408,400,584,
475,953,814,461,450,134,947,940,457,944,419,796,895,027,289,906,133,699,931,
738,768,321,823,421,515,785,386,857,841,505,001,261,602,395,359,896,205,092,
398,920,452,894,017,335,136,174,328,354,716,434,760,804,949,721,221,937,209,
706,018,192,404,555,216,088,046,805,137,527,149,450,078,380,044,353,107,496,
035,768,422,618,812,989,438,278,625,587,325,169,819,603,485,177,786,423,432,
988,274,718,139,889,239,261,050,086,786,258,590,792,734,483,531,036,314,558,
595,216,894,776,266,402,568,687,372,032,991,380,729,728,600,206,607,911,499,
706,720,283,284,753,773,229,755,108,004,290,206,253,488,111,525,801,359,164,
560,846,755,997,496,670,249,886,498,978,249,354,326,612,718,052,964,173,194,
684,007,058,015,095,249,198,132,226,983,729,392,264,780,994,401,563,747,940,
812,667,385,556,637,732,673,433,710,110,132,286,775,100,101,100,827,712,826,
155,407,803,348,233,390,404,085,151,583,977,361,306,575,168,086,262,321,229,
994,372,590,572,169,058,780,588,591,563,423,783,596,698,526,800,208,900,197,
593,061,569,294,810,373,375,382,350,848,077,243,486,951,570,775,202,761,722,
562,642,882,309,758,307,609,311,865,482,791,797,126,649,603,113,281,944,437,
430,074,951,692,397,921,593,916,103,857,526,289,096,780,166,947,459,149,879,
454,680,214,903,637,327,102,295,032,233,284,340,278,824,721,725,364,878,979,
811,780,903,057,677,894,760,434,441,585,934,350,537,001,367,343,595,027,122,
402,120,589,806,653,920,271,926,428,519,022,535,735,302,905,642,797,781,083,
455,410,167,478,430,894,026,070,033,631,628,737,463,552,174,595,116,730,485,
285,774,310,779,969,717,474,827,141,326,449,327,202,265,116,706,053,102,857,
490,409,042,854,454,035,606,780,503,754,170,237,365,554,013,923,873,735,133,
355,961,228,763,018,064,454,245,650,349,762,927,584,066,513,153,718,144,310,
980,637,701,812,029,584,722,927,310,464,296,947,361,826,048,672,085,026,076,
409,566,312,574,493,839,329,499,679,857,150,394,518,735,570,054,383,139,991,
763,509,814,594,150,008,080,386,862,092,142,002,947,008,033,280,394,665,097,
255,634,178,897,862,633,020,851,287,890,409,328,902,079,959,914,119,658,315,
303,868,813,057,110,174,897,385,582,439,449,472,895,511,176,834,771,522,780,
672,368,795,412,083,424,819,145,428,874,153,271,848,858,575,557,463,586,661,
861,984,900,648,151,676,938,954,137,996,392,372,991,651,201,929,907,415,220,
944,487,909,268,739,123,438,959,569,050,746,179,302,467,126,845,253,137,996,
281,797,830,473,528,186,569,894,253,596,420,514,521,188,198,197,328,077,264,
756,784,690,591,464,849,699,938,098,544,332,593,836,717,016,473,774,349,016,
133,714,031,585,627,879,848,861,355,162,277,716,737,838,828,173,063,335,647,
554,197,190,851,643,506,450,849,278,564,352,263,575,935,557,259,021,872,361,
876,135,886,940,276,926,825,544,180,082,700,869,453,610,924,404,733,109,428,
391,404,354,987,949,037,980,328,612,779,254,272,609,745,300,547,191,998,963,
051,377,720,915,706,689,417,199,290,455,475,500,565,224,741,892,598,979,247,
337,916,447,575,702,528,894,803,797,889,126,302,256,097,535,369,792,113,406,
699,097,774,966,456,960,829,210,373,459,737,349,951,958,078,627,054,256,560,
587,455,708,560,326,891,978,521,506,479,717,001,920,841,784,073,549,365,552,
446,434,349,354,060,583,050,817,593,569,308,613,666,734,423,135,517,613,168,
910,681,447,625,489,767,161,381,443,526,359,534,657,177,524,336,354,387,762,
574,542,576,041,912,560,203,843,406,882,750,716,585,405,407,105,659,983,622,
744,801,577,528,967,285,379,372,269,614,982,922,712,846,347,966,854,786,247,
656,589,234,694,134,807,792,865,534,824,676,410,171,754,006,436,217,103,555,
261,109,529,466,871,997,536,071,771,915,804,344,985,367,522,520,289,495,897,
062,415,478,494,039,199,502,935,906,762,993,719,377,073,166,438,015,472,667,
451,350,606,191,193,340,165,507,002,124,478,738,423,753,509,608,529,518,340,
384,620,761,922,025,915,232,971,690,091,712,736,324,830,381,369,748,250,650,
870,437,489,054,005,268,821,936,872,966,103,366,120,625,064,384,008,605,974,
409,616,252,553,263,042,240,749,756,579,020,605,483,803,432,192,514,730,580,
667,295,447,160,903,365,299,507,995,830,659,787,108,748,903,847,241,875,405,
282,766,361,410,829,496,466,268,846,887,475,381,001,032,792,558,214,516,649,
918,319,001,481,415,050,873,905,879,473,270,617,605,904,568,900,280,311,217,
286,975,800,377,953,607,135,395,026,128,238,733,746,515,119,636,434,816,651,
774,737,396,127,089,098,408,751,960,001,430,612,960,779,256,879,597,685,487,
855,117,224,681,253,304,705,098,702,659,297,934,705,835,255,786,494,914,240,
743,203,641,783,430,212,785,599,478,190,403,625,216,955,755,764,881,088,724,
883,773,597,344,077,933,550,526,715,451,206,368,972,878,461,590,718,274,737,
838,373,734,859,288,460,439,512,588,467,703,913,924,207,877,536,003,186,108,
732,877,905,163,272,110,913,696,234,718,374,305,646,272,638,760,938,105,624,
069,201,848,046,819,710,664,338,601,952,438,335,162,439,353,811,962,737,656,
001,796,028,643,443,463,016,234,820,069,467,128,382,272,671,086,185,340,667,
136,717,594,776,244,036,275,997,524,476,755,250,470,611,610,611,721,403,234,
557,299,631,415,822,514,335,119,970,971,151,526,608,031,255,264,218,035,638,
405,671,714,602,440,378,244,724,542,876,536,940,870,592,105,546,173,866,444,
499,857,253,121,750,065,209,435,195,720,854,166,557,269,021,845,531,372,832,
819,337,443,131,762,252,030,733,104,065,103,678,327,558,153,237,531,151,642,
634,527,823,193,861,871,462,969,949,537,898,007,107,656,488,609,845,822,266,
509,400,915,366,475,190,057,146,156,585,943,129,207,216,635,344,845,159,830,
179,207,002,355,283,920,771,612,086,013,049,927,228,732,035,958,971,776,500,
031,215,950,043,148,371,949,383,966,946,846,351,633,908,273,307,828,138,038,
897,931,291,284,083,109,633,123,180,173,740,622,265,688,332,077,891,878,236,
463,688,304,803,647,800,884,501,202,563,110,015,775,147,240,953,333,282,652,
800,217,717,600,828,793,848,189,735,034,654,906,853,562,526,834,095,330,724,
201,397,015,159,724,702,051,236,386,716,725,683,086,654,414,751,974,359,098,
534,190,542,191,479,935,942,245,523,622,755,422,208,402,673,983,397,858,895,
677,944,742,130,745,392,383,416,882,197,029,496,044,221,085,731,532,921,436,
078,458,533,918,285,833,806,896,895,793,919,460,403,248,799,307,645,966,729,
854,547,318,313,010,681,041,860,618,909,305,851,587,270,010,866,145,483,148,
223,649,899,189,572,558,937,207,288,173,201,930,225,187,969,167,226,304,762,
799,940,236,134,813,632,579,537,606,402,432,914,190,273,444,923,306,609,957,
853,736,400,229,340,350,072,697,788,056,783,570,565,677,663,935,344,722,557,
936,118,727,369,484,367,450,890,082,344,217,943,880,756,763,974,283,748,645,
414,240,359,281,452,159,886,824,463,897,767,941,880,265,771,490,777,629,324,
044,293,099,006,252,832,916,388,085,043,188,069,721,826,355,381,221,288,176,
894,316,300,798,473,177,946,320,881,390,977,366,474,520,734,569,697,068,829,
420,867,331,828,001,823,967,784,518,127,574,720,989,927,806,495,400,720,752,
665,188,456,821,637,211,242,734,298,844,395,859,548,968,976,692,767,563,070,
925,117,043,930,409,464,047,412,276,776,920,387,333,681,597,994,579,767,951,
574,469,288,993,571,285,721,169,370,704,914,322,200,513,726,409,154,571,934,
921,940,125,402,119,287,938,734,995,608,802,039,299,920,633,003,931,835,826,
656,930,596,951,227,168,735,477,183,374,080,007,580,830,790,054,768,694,626,
663,579,915,316,201,904,816,593,333,163,550,054,413,015,842,147,131,193,928,
270,715,242,124,248,555,560,827,489,783,857,880,806,453,740,878,570,283,445,
832,958,548,063,247,125,299,306,262,152,812,528,028,276,852,183,637,787,444,
941,339,265,118,401,891,700,382,467,509,884,682,695,685,752,546,636,435,024,
036,137,412,919,678,199,502,462,925,676,859,606,537,907,210,678,387,428,698,
380,714,439,135,561,979,563,086,234,530,866,865,264,603,614,237,424,859,385,
626,050,945,092,370,236,765,010,463,368,150,262,270,647,980,494,277,003,731,
578,012,024,658,998,017,676,052,131,098,980,096,512,409,101,252,015,202,016,
807,458,193,936,907,363,824,164,128,190,539,765,497,740,436,791,423,379,099,
178,704,624,891,933,686,323,013,072,322,895,061,100,137,832,742,727,739,547,
956,762,083,391,111,224,433,804,465,507,704,967,198,486,055,837,838,782,800,
367,014,493,251,897,539,905,313,581,434,483,237,968,047,390,425,178,739,139,
837,309,037,616,999,043,457,919,694,058,562,990,970,050,845,670,053,755,128,
508,721,368,933,905,901,577,761,824,627,498,808,120,365,802,859,863,673,948,
191,075,914,290,009,343,010,029,815,534,354,768,064,104,379,815,394,446,077,
884,886,597,800,010,553,362,679,611,052,687,449,395,468,957,166,239,820,362,
027,723,464,824,748,446,037,551,766,988,207,517,791,388,859,683,378,515,732,
287,379,644,058,342,212,776,131,243,037,297,353,797,352,942,749,159,025,127,
775,767,055,641,754,201,837,743,992,116,352,206,049,249,234,504,635,680,406,
245,443,923,316,669,559,974,669,132,638,707,675,639,377,198,258,773,187,083,
704,295,807,764,638,636,674,777,652,102,196,712,737,274,508,208,296,881,056,
515,730,646,514,269,987,803,681,361,308,658,077,341,558,356,292,529,107,571,
938,566,180,180,680,780,192,360,033,099,411,996,176,094,567,710,654,794,077,
102,396,237,997,674,459,089,456,077,512,662,664,813,103,792,709,678,055,091,
892,824,914,373,784,165,518,033,641,959,813,086,936,050,788,699,269,238,948,
784,664,444,371,534,383,792,525,266,167,191,343,853,001,565,543,091,456,322,
977,882,175,593,620,493,109,879,483,145,257,886,602,028,385,887,323,431,390,
349,754,160,268,056,185,104,619,089,676,791,998,192,270,020,083,637,957,429,
615,685,762,383,588,550,596,041,855,102,086,661,236,388,939,456,482,192,382,
603,686,520,320,359,896,669,544,353,954,813,659,018,767,292,913,323,897,157,
076,270,649,433,318,783,802,382,116,142,125,009,300,608,788,097,603,621,860,
945,799,457,104,245,421,153,493,240,246,915,250,835,002,949,960,246,226,186,
711,913,351,949,598,580,476,493,560,744,864,460,897,362,794,279,519,461,452,
933,499,625,643,722,864,522,422,110,037,445,494,100,863,010,988,150,214,976,
321,872,762,435,180,233,466,823,570,935,197,097,502,197,658,555,377,585,613,
249,729,050,905,664,552,279,051,847,962,897,894,904,640,377,222,561,512,363,
055,898,675,294,549,011,238,525,353,478,562,163,466,214,231,318,017,890,406,
490,603,773,865,152,044,344,967,525,057,864,340,617,515,488,109,064,138,210,
590,703,338,114,030,133,670,738,769,717,786,984,803,700,833,992,142,199,434,
709,450,543,920,939,148,128,219,481,910,343,042,142,432,830,153,176,062,351,
817,503,353,831,932,719,597,724,921,944,337,706,106,355,204,865,213,757,636,
813,390,706,579,995,727,173,124,410,572,860,023,208,085,874,980,675,247,541,
622,845,542,243,150,395,782,670,318,177,319,830,772,900,211,276,357,613,910,
868,996,367,071,392,561,267,213,627,287,452,569,374,308,245,003,855,404,973,
751,265,047,731,467,238,294,914,185,695,408,966,497,733,482,979,670,535,231,
241,163,276,189,187,159,443,073,668,045,886,750,789,948,566,972,776,135,638,
688,313,919,881,615,253,538,033,014,389,028,089,195,445,557,228,799,171,586,
707,713,279,496,422,664,187,213,954,425,012,365,627,485,996,633,389,575,687,
964,647,773,638,945,677,687,862,932,363,988,427,568,338,955,928,651,684,736,
911,605,651,170,771,858,060,578,427,887,866,426,715,090,657,158,974,531,442,
485,811,055,402,131,287,238,869,836,312,406,585,025,881,788,522,653,446,798,
111,841,755,643,439,035,449,624,255,879,631,654,294,296,745,509,619,212,084,
888,824,168,981,227,254,277,907,965,206,973,707,150,994,638,295,434,445,012,
641,193,339,275,042,780,482,958,843,602,752,247,254,914,538,121,961,680,102,
256,390,250,925,439,404,037,119,594,739,318,053,190,641,612,871,536,330,374,
865,377,030,718,585,295,574,973,243,051,147,139,232,544,343,580,724,223,255,
597,592,398,446,833,828,172,709,875,281,073,396,069,244,361,621,579,113,866,
840,231,238,560,698,473,808,803,980,863,421,333,336,203,333,636,480,976,484,
084,678,005,742,807,962,924,156,100,585,481,003,591,814,386,733,193,930,423,
753,249,233,038,470,973,837,428,897,535,398,766,649,018,214,096,593,995,872,
111,221,362,486,592,262,626,918,268,495,380,078,988,065,841,378,629,558,023,
247,038,332,429,827,487,789,323,869,910,675,577,959,680,072,689,742,343,519,
311,609,099,187,572,405,570,352,838,222,501,798,221,235,198,709,176,574,924,
625,699,274,552,896,777,679,850,629,754,461,999,316,411,897,000,981,131,921,
608,213,690,416,180,864,949,324,480,857,072,669,376,459,168,097,060,890,772,
995,596,171,070,965,228,416,410,201,266,739,102,723,449,207,472,943,213,553,
245,561,963,845,254,164,918,131,883,049,850,350,402,118,958,301,906,869,611,
386,473,208,460,038,656,034,084,647,709,872,256,468,382,839,117,977,946,153,
519,464,607,408,396,576,944,728,704,436,024,690,786,685,690,645,199,053,526,
493,185,257,766,344,684,407,903,515,116,627,021,696,868,803,575,487,410,315,
910,872,187,037,882,534,081,279,821,332,433,626,694,840,567,468,916,386,265,
308,438,656,431,435,423,228,659,199,027,702,571,624,100,108,225,014,403,705,
931,010,393,877,036,313,285,619,698,282,273,176,923,869,275,335,096,217,660,
817,531,249,574,209,096,059,676,571,982,726,130,091,528,960,157,232,249,488,
889,867,946,864,859,518,991,158,306,196,644,904,204,289,557,430,798,931,414,
973,352,470,141,235,667,753,286,205,143,089,787,428,215,331,114,755,316,462,
252,111,775,566,643,110,712,532,758,184,667,767,296,517,607,345,754,612,995,
586,993,479,147,209,129,385,015,503,456,177,098,041,067,555,373,686,558,231,
193,370,944,332,872,168,747,548,001,120,920,824,412,829,663,291,116,580,670,
659,157,541,219,757,011,261,461,755,107,553,184,366,041,342,390,042,067,059,
715,584,131,775,327,573,813,441,229,557,466,967,738,857,454,156,220,049,020,
380,650,108,077,637,236,070,869,952,551,352,407,088,111,933,201,709,262,121,
643,113,920,917,206,257,875,536,226,192,484,998,120,291,018,543,506,807,815,
408,104,926,152,908,119,466,761,741,506,527,969,332,373,029,943,703,220,693,
579,719,334,529,841,950,616,484,669,093,950,264,830,703,290,108,085,730,345,
884,146,510,601,997,960,890,097,548,633,874,011,992,347,936,644,525,262,503,
075,239,461,008,161,784,398,671,824,298,287,121,612,954,165,610,837,141,712,
953,170,291,090,117,870,219,060,815,288,534,745,779,142,408,598,539,656,681,
115,757,105,484,681,002,255,705,070,649,519,281,612,019,417,226,288,519,680,
556,854,899,366,429,911,638,526,250,457,454,217,384,291,417,621,094,378,862,
086,836,251,746,698,133,679,553,963,055,768,958,976,789,319,682,213,782,424,
268,952,182,836,928,673,259,252,159,720,965,730,294,820,286,336,473,368,053,
446,365,029,154,117,747,214,758,608,950,418,924,886,947,208,960,626,749,594,
443,960,950,656,572,685,790,512,905,007,456,699,892,923,703,989,837,164,849,
350,974,036,214,400,863,828,165,495,677,744,917,934,077,729,023,330,466,685,
684,427,792,130,213,970,015,786,826,327,754,434,903,750,597,337,630,840,374,
236,282,345,575,562,158,938,083,938,088,402,824,896,454,838,537,887,763,460,
942,606,066,136,330,715,016,275,728,154,469,936,030,322,376,285,020,487,845,
970,694,307,984,839,011,920,862,594,213,066,751,378,676,563,337,979,625,011,
105,215,570,990,394,376,156,545,671,598,727,143,216,039,260,297,156,499,572,
100,994,176,392,565,651,669,026,364,925,039,895,587,669,411,303,667,554,283,
177,221,385,941,938,556,702,309,500,665,558,264,880,738,814,873,413,115,649,
394,079,792,681,723,423,643,559,578,900,734,768,142,172,263,601,722,959,088,
961,196,423,814,675,105,847,337,606,227,272,116,468,051,042,808,043,932,546,
841,150,695,062,065,956,795,890,701,097,542,792,406,308,542,351,481,738,822,
576,988,436,632,573,342,762,494,269,047,782,394,770,724,737,940,036,350,743,
302,076,728,675,877,782,456,260,336,306,218,335,679,151,404,588,818,433,030,
346,372,650,217,517,847,033,009,372,729,285,724,200,044,121,709,180,577,080,
099,959,907,369,318,284,099,200,788,548,860,768,809,423,591,927,153,551,884,
388,349,960,097,627,124,037,257,253,093,909,547,534,812,451,890,433,775,407,
877,299,017,177,099,741,686,842,591,933,004,168,918,624,672,620,588,005,157,
127,846,403,639,160,429,200,459,195,480,287,731,618,593,159,243,079,009,202,
425,080,483,373,406,781,395,678,906,735,129,294,125,689,144,447,123,680,333,
287,552,963,717,916,457,588,301,448,286,980,710,818,853,701,765,051,449,406,
134,806,151,493,832,016,626,893,699,138,064,661,418,968,298,825,580,020,798,
537,822,116,451,585,433,312,287,731,538,668,357,649,145,115,430,717,501,758,
857,871,317,853,504,933,108,841,639,909,394,645,413,413,517,944,553,814,958,
553,144,724,110,700,728,443,621,036,667,365,744,328,027,013,487,856,348,569,
477,433,325,555,668,315,399,562,581,075,125,221,860,072,013,251,071,844,964,
131,267,808,789,700,851,284,641,559,619,558,600,926,326,138,132,487,684,481,
058,516,642,563,338,722,565,302,311,503,226,260,455,287,873,956,430,605,999,
413,968,241,399,246,115,768,596,131,894,572,017,941,093,963,061,141,791,161,
605,335,818,564,181,924,120,033,610,691,964,621,606,300,291,639,481,202,301,
478,113,582,036,470,744,579,885,692,226,063,424,742,453,903,903,387,227,984,
045,060,988,237,441,727,325,503,025,417,098,659,866,517,880,869,989,304,750,
988,538,324,906,821,345,949,371,746,405,836,171,169,232,712,963,978,655,819,
908,011,854,282,460,302,889,744,107,233,886,014,545,986,601,138,026,513,541,
640,127,255,552,644,998,718,769,069,021,528,950,933,591,910,990,997,710,315,
102,204,050,993,816,018,827,887,216,619,981,007,046,350,747,954,065,315,789,
693,357,319,442,678,340,511,585,616,274,627,959,067,458,770,488,354,800,427,
906,583,598,647,396,437,954,607,474,264,210,427,082,200,617,024,711,157,860,
844,408,208,789,012,415,382,253,387,550,038,011,282,671,188,446,221,264,650,
971,698,083,093,934,305,260,354,298,629,108,447,253,573,375,909,570,770,511,
009,319,732,425,555,229,771,970,152,398,668,321,678,378,803,282,196,570,430,
585,627,502,827,756,544,492,231,419,394,896,395,307,169,615,876,540,651,139,
783,380,607,278,022,917,728,762,142,020,054,970,951,373,713,319,831,543,295,
949,785,360,369,601,319,176,717,108,040,711,265,672,046,442,128,920,793,329,
387,713,793,359,321,291,039,465,504,950,333,784,148,466,017,338,675,300,276,
422,681,294,528,799,334,777,260,867,014,408,851,604,588,123,738,299,079,602,
878,984,327,146,017,812,595,389,361,430,310,071,345,754,472,128,964,390,867,
258,327,626,068,753,055,211,252,552,082,945,651,645,654,611,873,177,930,873,
401,022,346,876,940,385,766,910,241,565,199,423,244,242,347,198,976,573,448,
517,846,439,568,745,301,064,934,363,031,306,207,739,808,024,193,070,089,292,
730,094,791,117,545,200,316,319,075,702,898,667,792,812,429,496,808,833,017,
949,263,048,819,094,610,998,839,868,725,235,055,396,655,679,175,487,307,127,
120,038,437,605,067,762,436,990,553,189,273,428,936,852,542,703,471,966,629,
599,165,395,905,373,087,827,170,385,914,754,269,667,015,476,034,098,211,449,
612,819,315,066,542,372,736,555,787,078,427,040,830,334,519,629,579,263,938,
076,595,277,622,403,483,325,649,424,156,803,827,705,139,839,669,666,480,084,
499,265,594,250,402,465,189,016,974,077,427,009,881,780,587,183,600,383,640,
609,416,562,204,547,401,004,276,131,334,657,314,813,809,962,445,171,102,993,
811,201,507,385,149,874,471,469,863,171,286,122,173,458,528,377,272,711,602,
578,650,415,976,991,347,315,671,173,890,330,059,715,500,605,793,685,948,742,
926,395,590,038,666,616,383,019,919,794,951,315,767,637,441,061,876,720,652,
984,616,134,879,950,847,442,724,417,178,047,451,690,502,331,882,604,537,535,
803,303,601,179,288,821,641,004,101,831,069,816,532,345,324,611,702,041,674,
158,844,082,449,913,328,681,255,362,915,694,559,217,083,132,245,200,653,789,
949,835,105,972,671,567,634,949,412,190,112,299,627,206,136,693,668,915,683,
998,710,075,724,841,674,944,112,998,776,837,871,149,024,849,247,345,668,296,
391,243,330,822,820,436,131,003,360,369,606,336,380,169,686,510,651,631,518,
246,684,608,313,982,399,954,244,471,777,990,253,614,223,925,219,315,046,383,
385,113,897,285,218,749,715,008,511,383,944,537,651,922,089,991,861,394,610,
480,370,973,286,552,716,728,606,301,928,550,154,537,109,695,806,081,229,580,
884,981,417,097,637,840,079,021,540,491,946,679,866,970,705,732,105,045,792,
339,999,869,899,832,195,408,568,089,293,652,550,881,638,635,393,996,347,434,
330,336,702,284,863,188,873,754,352,364,464,377,001,971,536,486,033,795,727,
272,799,794,512,204,646,844,531,704,776,649,558,120,463,719,089,829,106,122,
914,939,845,253,123,352,445,568,853,688,658,380,655,592,059,817,973,121,434,
702,787,142,554,164,779,226,831,563,530,652,160,545,222,137,618,140,094,169,
708,822,145,073,121,814,109,799,771,251,574,079,513,077,913,111,062,945,858,
478,467,437,117,711,210,340,011,037,947,831,445,414,211,500,625,201,569,150,
377,311,305,994,457,333,868,093,625,193,787,809,447,114,667,798,277,899,004,
099,155,752,198,759,649,933,896,819,523,982,190,726,327,860,060,394,006,708,
493,382,018,448,788,657,639,472,637,289,826,097,587,553,007,068,460,378,605,
749,004,502,840,114,702,533,019,392,668,695,008,751,273,443,969,996,488,722,
418,289,498,888,409,796,474,428,693,027,779,547,945,536,338,777,214,461,397,
871,042,623,141,029,045,735,681,500,094,248,771,259,529,352,820,072,285,667,
286,921,712,747,648,281,981,071,432,203,695,523,844,507,484,687,176,072,846,
554,077,084,459,698,472,549,585,472,370,169,004,000,576,871,052,453,331,731,
388,301,865,889,860,041,213,099,750,049,609,601,412,334,618,654,149,865,048,
691,667,377,948,221,377,795,236,501,018,113,823,077,729,773,581,439,127,261,
899,041,768,436,011,870,381,717,087,436,665,441,872,716,302,955,791,119,499,
442,331,912,948,098,011,159,454,955,020,626,942,583,661,156,874,225,851,396,
482,508,251,868,815,141,493,741,681,522,858,957,741,519,793,034,871,140,073,
086,343,128,226,606,867,113,120,896,442,074,972,514,303,619,512,198,477,184,
700,344,226,443,871,307,008,224,981,344,198,902,008,354,202,012,923,997,059,
566,388,165,041,348,596,106,789,304,331,484,779,611,144,998,618,207,698,688,
858,648,356,581,110,456,020,722,826,693,527,406,189,385,249,245,752,805,645,
665,213,746,888,427,152,226,192,385,822,462,038,239,744,744,789,494,690,474,
945,163,128,421,725,871,845,688,636,331,612,470,576,386,629,253,140,648,585,
545,395,332,100,604,312,109,967,414,456,860,086,744,559,499,078,931,843,196,
482,877,587,543,542,097,675,095,281,666,925,963,163,517,815,562,085,194,377,
311,664,906,817,933,743,869,387,725,568,539,285,553,939,413,822,540,834,196,
399,651,425,830,297,202,479,933,574,304,139,760,484,666,660,462,174,435,484,
788,052,076,192,343,330,876,263,605,366,460,834,853,131,399,200,333,655,601,
139,536,804,683,397,381,938,394,232,676,672,699,606,061,930,787,348,509,670,
275,629,955,054,415,494,843,539,805,219,925,334,929,529,080,423,946,563,669,
594,286,799,662,418,202,753,084,979,950,541,561,168,969,695,399,899,224,343,
292,425,687,662,275,124,009,796,906,043,805,463,692,421,607,526,999,554,127,
317,521,836,200,285,424,393,538,476,593,235,327,078,826,247,297,380,919,344,
042,113,665,636,067,250,377,422,832,185,980,403,874,700,207,713,450,645,612,
283,964,257,177,259,670,893,682,098,794,193,496,946,589,290,550,804,745,173,
201,053,476,778,888,223,698,765,821,532,416,710,450,692,564,594,267,531,711,
053,575,468,669,129,022,611,000,516,350,731,320,781,032,932,582,117,135,580,
346,630,193,278,545,569,207,633,142,803,862,622,109,750,514,956,784,498,585,
909,151,985,068,020,302,041,680,135,296,628,929,581,675,155,077,697,307,662,
653,559,371,225,324,864,191,485,406,122,124,100,934,752,554,366,421,394,559,
346,651,175,332,775,675,645,646,727,933,234,419,373,334,482,570,025,199,647,
593,098,288,250,346,759,946,801,373,398,248,404,806,085,826,360,117,770,643,
850,455,024,451,937,113,768,338,806,114,489,399,052,410,474,001,522,794,723,
736,966,708,207,072,384,403,092,855,762,493,169,006,816,601,849,832,015,615,
361,555,973,245,260,795,946,979,728,022,828,942,617,703,299,228,555,718,117,
766,725,109,168,113,316,077,762,403,846,532,969,307,716,800,679,806,303,264,
058,413,813,427,375,143,705,802,048,171,732,137,397,321,331,508,719,065,451,
568,332,161,733,208,043,777,899,412,710,979,683,887,512,922,317,916,939,290,
780,088,085,285,557,267,510,444,200,230,260,289,507,591,328,028,382,580,637,
486,325,196,094,213,794,038,804,483,516,750,404,291,519,506,643,981,456,954,
622,154,624,507,361,582,116,362,025,700,913,841,168,133,659,848,599,345,849,
842,929,969,406,175,049,601,579,899,062,841,953,249,872,016,905,878,808,149,
421,663,461,042,244,662,227,825,753,272,584,548,193,658,006,977,194,845,342,
086,963,222,456,627,498,089,716,891,568,373,290,177,613,256,826,419,194,334,
737,009,701,123,937,498,476,924,645,189,162,791,031,757,509,856,053,875,279,
195,273,214,322,524,957,763,320,816,910,968,669,931,259,930,519,680,377,045,
857,596,490,467,895,137,180,381,199,300,708,713,552,843,288,677,280,851,081,
345,700,786,355,207,915,617,775,253,621,538,073,510,382,231,448,113,431,288,
406,816,482,782,584,755,474,409,091,359,511,538,784,676,826,460,044,071,727,
885,841,505,241,314,555,675,710,548,570,187,467,495,798,880,865,080,108,364,
175,689,885,235,582,370,248,869,805,934,625,766,883,482,038,477,194,823,870,
192,219,665,802,939,192,974,264,399,784,383,373,069,228,219,609,900,345,790,
287,512,264,107,505,313,799,815,428,835,004,144,642,871,491,208,133,177,938,
540,356,250,647,836,486,397,186,817,453,580,789,485,492,260,853,026,776,598,
713,481,419,277,727,819,364,080,890,800,411,645,909,885,689,435,072,684,079,
029,833,755,252,092,017,384,317,909,160,588,445,637,520,784,490,676,115,562,
960,608,824,332,275,725,613,381,079,505,310,318,133,341,342,593,794,040,091,
172,882,912,781,547,890,555,979,431,127,632,468,144,099,954,495,063,913,223,
766,544,880,210,298,067,265,536,086,505,927,609,503,034,718,374,720,126,226,
908,313,675,593,502,006,522,248,338,710,502,947,922,127,308,104,398,100,310,
456,580,202,491,514,593,531,232,450,156,035,630,657,626,780,421,355,187,872,
680,457,424,009,715,571,863,275,960,385,628,400,828,349,963,166,095,587,462,
001,740,165,289,107,436,004,302,210,169,708,949,134,162,315,498,204,183,678,
182,562,055,955,857,320,465,514,187,855,116,766,741,952,913,932,496,476,437,
978,285,349,889,686,819,042,406,009,619,080,054,431,217,375,006,800,178,407,
973,972,320,165,580,334,786,112,380,412,336,345,469,792,279,780,815,969,249,
776,483,425,541,785,409,701,859,781,119,331,535,813,951,585,333,230,633,330,
298,631,230,310,904,878,079,554,824,000,293,648,426,318,596,715,216,110,451,
042,023,423,011,521,313,887,487,334,460,268,608,807,785,403,927,955,190,099,
779,384,635,815,709,835,332,703,918,180,513,461,606,099,925,563,549,549,807,
698,380,106,516,599,152,260,992,734,696,329,919,491,901,248,136,954,309,765,
767,186,237,858,686,012,598,912,434,159,142,499,135,302,730,891,144,276,965,
222,011,148,588,334,690,310,363,487,575,018,807,345,618,062,313,691,062,136,
562,377,380,050,078,482,185,487,870,566,264,613,402,359,978,608,740,994,034,
763,047,454,170,692,323,626,003,010,040,123,957,599,962,473,697,579,265,859,
775,160,287,913,559,406,579,632,941,892,603,866,110,724,364,671,043,543,871,
851,926,658,475,269,307,664,862,139,895,492,532,433,377,600,655,729,161,457,
102,469,947,924,961,141,290,886,154,885,296,915,613,770,983,289,149,165,576,
746,378,658,581,707,637,362,852,288,035,233,604,863,506,758,535,295,835,575,
938,147,555,112,301,353,975,107,954,013,669,844,383,136,790,148,873,526,713,
933,096,684,010,527,321,489,085,719,662,873,472,018,181,083,582,132,535,731,
885,237,556,558,427,198,306,606,223,148,126,736,641,832,519,963,549,069,976,
510,924,990,497,716,047,758,151,269,269,287,466,962,010,840,247,755,075,440,
749,941,233,033,336,578,128,071,720,404,754,136,913,344,808,970,408,936,238,
584,972,210,578,134,197,111,354,927,565,187,583,254,558,639,301,755,587,989,
045,645,028,870,591,336,036,049,217,868,090,933,234,337,065,906,110,240,582,
857,582,590,074,665,125,219,468,395,442,508,413,734,385,679,191,516,013,109,
898,720,181,136,694,638,889,206,480,209,293,202,438,851,373,665,389,920,062,
118,289,711,400,047,546,424,758,354,931,444,574,130,944,115,700,214,415,280,
908,281,980,297,471,141,857,911,420,029,218,220,722,577,956,242,626,571,182,
612,861,124,646,092,414,390,559,019,627,405,507,624,006,063,543,391,111,559,
188,369,121,754,917,659,670,892,141,332,036,706,004,799,675,047,567,883,838,
836,073,745,529,379,520,733,494,604,145,034,031,933,987,641,611,231,726,632,
574,217,140,372,523,821,889,787,150,737,141,276,506,345,077,698,932,103,497,
170,903,937,320,308,273,299,840,897,345,632,563,909,739,228,054,861,268,933,
489,854,479,089,858,648,214,809,457,334,443,680,541,856,514,958,972,522,009,
952,001,285,014,471,069,044,083,844,431,549,981,009,171,613,229,764,463,751,
474,806,311,660,268,130,486,312,192,175,256,867,499,202,840,962,263,785,603,
950,194,901,894,256,955,137,864,771,876,468,025,401,424,237,086,815,839,042,
514,362,368,988,853,212,180,911,749,468,120,870,460,159,903,834,484,924,242,
038,935,490,293,639,910,306,550,286,718,186,627,839,840,745,415,481,607,186,
997,905,593,697,068,545,639,007,930,069,086,825,104,376,900,602,473,120,030,
183,393,225,254,606,473,859,777,560,079,255,549,165,969,681,643,132,973,674,
391,344,114,685,020,811,409,406,887,731,320,540,360,858,439,630,105,461,991,
909,029,101,821,349,855,713,412,032,246,366,227,529,602,279,169,788,824,178,
882,815,721,818,318,221,120,255,492,945,001,150,930,357,211,242,650,121,521,
115,960,651,176,226,922,588,678,039,538,489,335,978,109,349,016,109,869,638,
665,185,178,729,533,562,705,958,691,655,313,091,258,265,596,910,740,204,294,
518,074,382,135,896,936,052,850,174,725,368,623,415,632,822,981,300,766,423,
817,416,591,782,529,964,733,821,048,086,911,301,045,828,952,131,706,400,372,
767,333,087,537,244,702,626,767,806,534,004,942,655,430,222,819,365,358,466,
029,715,209,692,904,665,849,718,303,990,787,525,614,751,704,645,947,361,805,
506,903,806,836,354,189,432,898,085,589,135,695,305,783,016,051,822,092,830,
295,873,287,456,988,256,270,849,949,674,903,256,889,552,011,558,582,981,403,
591,851,653,996,484,402,562,400,336,052,305,969,529,662,526,622,698,566,430,
187,991,291,176,515,927,110,622,188,881,305,473,812,833,099,635,805,934,079,
394,935,176,293,971,684,201,104,899,323,526,918,556,410,694,127,248,284,041,
630,261,020,415,433,265,835,784,501,066,040,621,865,927,206,047,250,408,544,
471,089,699,254,974,252,792,571,926,464,678,447,692,996,181,743,098,565,765,
773,626,843,126,087,216,327,857,001,018,288,735,804,354,812,735,286,454,217,
025,778,114,358,668,541,287,061,833,917,068,085,550,098,757,175,379,721,136,
260,517,832,950,304,440,157,446,013,721,746,747,280,714,688,834,912,133,084,
585,033,281,133,907,699,472,728,688,062,562,911,789,311,271,060,075,862,750,
989,788,813,000,881,144,746,197,807,929,452,927,006,787,276,925,545,131,672,
323,117,603,302,149,863,921,051,126,110,274,115,562,974,130,265,525,539,131,
091,015,236,417,514,421,883,065,312,119,904,100,638,186,867,530,606,316,715,
658,313,951,163,472,464,289,146,819,865,422,785,832,059,975,476,560,994,628,
220,227,682,135,751,105,490,310,910,954,197,214,765,689,813,905,243,839,462,
190,864,477,419,872,933,880,248,570,076,633,560,575,671,812,609,563,864,302,
743,699,617,902,324,325,568,566,374,670,942,265,352,293,883,535,507,586,382,
837,545,679,932,953,173,204,739,209,214,280,627,102,454,550,774,358,512,377,
096,604,948,146,975,806,534,641,692,159,983,948,918,385,845,141,157,132,254,
346,994,050,121,060,999,218,436,112,854,706,542,867,780,802,152,364,975,544,
422,195,157,167,534,233,746,142,437,113,675,001,690,042,829,377,093,548,667,
926,969,546,562,458,745,140,131,576,613,234,022,958,068,993,107,019,485,554,
698,826,124,690,729,540,015,152,574,381,700,163,940,198,207,091,917,786,577,
051,472,675,883,766,971,556,424,948,257,413,160,305,678,555,543,382,553,930,
637,010,793,603,381,960,002,706,408,723,942,484,748,100,317,520,265,788,183,
726,718,633,577,502,740,923,395,284,845,051,318,058,997,522,971,087,968,283,
795,358,933,991,390,280,371,210,553,637,845,398,776,430,235,684,308,755,777,
107,421,306,327,153,998,271,249,742,588,398,467,014,393,063,109,186,327,490,
942,410,094,773,001,610,324,683,558,746,820,918,481,612,080,952,395,614,482,
251,180,253,521,780,345,289,557,792,501,665,155,336,064,096,080,296,823,352,
331,722,961,191,259,862,063,019,118,757,046,382,434,997,302,246,500,412,568,
556,432,582,089,098,031,082,621,962,568,369,484,788,238,318,355,670,934,601,
214,058,486,512,660,220,003,372,898,694,547,055,547,740,166,813,864,779,741,
365,940,228,332,983,603,115,917,120,159,798,502,021,654,921,174,077,492,231,
313,275,350,977,712,508,925,923,330,757,297,931,596,749,141,554,916,150,302,
071,769,659,599,645,669,726,222,694,411,011,518,491,037,410,518,372,954,146,
697,879,191,727,450,959,868,831,763,632,849,901,004,688,426,738,335,773,265,
000,667,179,060,625,039,035,432,218,135,912,819,974,523,576,034,721,833,931,
783,378,654,500,798,299,187,647,475,596,247,226,338,376,555,570,790,971,818,
698,724,911,930,150,206,764,116,326,701,429,545,338,676,490,793,277,248,718,
281,624,621,978,037,185,147,848,808,678,571,284,573,601,602,052,210,223,724,
741,372,528,463,834,895,580,118,365,518,198,726,755,550,708,435,083,409,410,
479,384,614,777,887,219,503,170,645,673,291,502,950,735,410,958,128,287,326,
580,804,384,597,759,463,945,710,454,515,655,622,568,036,933,865,948,125,924,
381,147,289,020,566,064,441,817,423,286,397,405,419,204,002,804,330,751,830,
942,009,166,429,005,051,926,091,922,081,935,148,708,493,235,753,445,331,628,
239,955,433,901,201,043,702,230,011,271,352,924,592,888,613,459,746,653,099,
577,382,508,493,844,632,801,291,157,533,308,353,787,401,733,489,212,984,413,
006,901,187,608,533,320,383,299,770,680,201,847,294,523,676,100,389,332,329,
113,500,468,916,044,769,789,371,651,925,990,580,744,021,781,901,506,777,713,
105,996,699,492,831,092,959,095,116,346,784,222,326,899,359,128,606,364,455,
742,824,065,933,242,264,284,106,862,674,171,347,392,056,649,549,986,333,856,
426,896,784,429,035,960,195,049,449,896,316,696,293,988,800,725,299,876,304,
448,097,608,641,167,993,679,085,152,324,932,124,599,043,243,563,282,602,888,
219,491,569,343,739,721,584,140,762,802,503,874,085,802,632,747,713,867,072,
744,640,618,714,242,979,264,728,959,945,735,477,639,353,534,825,849,713,817,
902,568,566,144,048,150,866,431,439,421,354,762,926,790,093,580,906,249,514,
218,783,470,157,793,596,791,972,394,719,390,982,546,173,382,713,695,097,652,
892,968,880,366,605,307,078,827,615,316,435,574,329,236,985,930,447,855,967,
955,016,695,360,723,511,115,586,832,730,964,795,443,654,220,998,704,296,306,
290,688,953,972,034,739,194,994,572,150,953,924,816,655,797,318,044,998,699,
757,370,195,871,384,539,208,629,011,982,368,749,291,049,392,128,777,415,833,
837,025,921,538,086,125,724,690,578,358,118,641,190,164,522,652,333,993,633,
999,452,202,141,873,241,433,190,728,800,618,459,024,375,997,515,980,414,059,
111,201,668,798,743,132,370,516,532,590,815,434,334,745,111,044,961,276,693,
773,773,826,366,036,472,332,764,304,469,379,992,356,784,888,211,635,801,638,
776,200,943,417,250,814,689,530,364,174,866,236,279,736,311,059,304,756,870,
688,979,869,350,950,041,413,307,617,619,162,130,379,719,970,316,114,265,119,
338,229,061,637,399,880,243,571,656,967,093,717,299,270,566,776,802,432,600,
237,892,242,824,890,938,904,740,516,035,150,085,472,320,164,165,105,686,770,
828,865,173,569,042,854,966,984,650,083,535,986,598,603,312,908,578,964,827,
449,668,710,494,875,912,508,528,237,714,925,623,228,526,157,604,427,906,214,
476,762,253,020,962,094,476,952,264,784,350,431,163,460,257,371,062,701,089,
847,268,202,424,677,979,885,605,543,793,640,902,691,714,699,660,680,705,327,
240,567,150,483,858,701,692,528,266,320,294,031,936,710,305,840,583,834,570,
615,919,328,073,762,800,788,200,600,798,274,036,033,045,462,368,546,178,360,
540,760,355,188,534,249,629,385,289,513,433,453,683,871,506,924,764,882,212,
486,984,087,536,676,847,218,274,643,314,693,472,905,169,274,189,751,703,189,
094,689,531,774,412,098,588,094,202,690,583,183,842,626,594,124,116,594,167,
836,527,511,789,995,426,977,336,735,456,925,163,918,403,362,919,771,505,724,
834,124,340,636,397,898,655,751,404,400,562,861,783,728,552,487,136,431,728,
803,527,278,962,642,159,051,877,258,875,918,065,641,114,721,925,176,945,060,
023,346,135,953,742,553,267,470,568,018,233,496,877,552,058,256,819,474,306,
302,994,873,707,572,800,472,637,605,227,574,265,830,805,984,354,936,012,828,
948,461,306,681,732,606,501,106,257,810,055,381,515,898,128,870,774,211,362,
576,891,104,798,381,226,024,407,065,463,241,871,526,007,650,303,915,946,567,
854,720,984,450,164,897,915,791,114,431,276,950,768,212,946,974,700,674,932,
788,528,248,273,686,657,865,970,439,615,988,897,992,575,591,689,586,003,045,
612,621,106,418,035,290,654,285,684,593,357,617,218,771,615,546,649,224,768,
331,761,970,951,611,481,748,368,064,868,035,563,594,334,483,136,855,399,889,
655,612,957,102,596,664,781,206,019,445,973,423,527,851,774,843,861,418,837,
290,179,236,977,507,598,707,775,678,196,055,085,130,751,255,235,937,136,519,
775,817,700,697,373,344,749,600,707,986,800,676,434,934,562,588,241,326,462,
835,028,665,293,637,498,024,366,996,426,678,460,793,797,529,097,427,928,053,
515,427,479,493,656,324,167,330,063,168,214,978,909,978,598,524,206,827,939,
476,582,219,110,308,031,330,854,908,322,535,007,319,191,715,072,931,071,429,
125,606,799,014,478,698,289,394,527,801,856,944,719,625,730,160,894,339,831,
539,501,950,816,250,277,888,821,616,655,283,441,512,032,926,818,709,263,714,
709,723,099,809,909,367,215,306,893,115,063,407,622,317,603,128,811,858,836,
481,490,107,670,259,358,805,426,173,835,763,286,673,036,295,588,904,965,864,
624,941,194,977,822,365,964,880,825,489,287,393,819,256,137,255,377,633,318,
456,253,731,940,127,182,514,482,279,043,331,262,967,627,854,524,900,983,556,
061,327,881,781,957,058,202,149,561,312,083,660,257,923,838,552,110,931,783,
543,931,772,596,102,523,364,836,469,317,409,252,716,142,206,718,640,622,885,
558,685,485,244,004,081,352,949,157,553,924,042,968,309,918,414,431,517,119,
030,641,674,972,988,922,583,689,765,376,435,981,620,661,127,976,130,822,781,
807,982,902,174,318,588,527,125,274,614,137,576,023,163,386,622,608,265,897,
189,892,514,731,829,882,007,620,858,365,435,089,099,211,144,104,543,301,002,
481,134,980,729,234,230,038,568,510,603,740,986,641,929,629,688,735,987,139,
701,098,217,478,716,198,290,783,790,432,430,641,290,137,756,595,397,327,948,
661,080,748,613,974,560,761,789,013,825,344,110,266,462,119,533,490,369,041,
992,784,705,747,803,127,923,555,847,515,678,720,604,870,207,323,875,723,655,
293,965,130,044,813,898,034,031,465,364,457,017,202,337,209,197,093,380,299,
823,810,600,846,813,703,864,162,107,053,576,816,254,152,548,690,785,166,693,
449,879,168,591,364,060,585,715,248,487,259,051,465,692,613,741,136,001,571,
929,948,892,104,533,141,819,228,505,905,899,162,258,852,642,588,274,367,059,
568,445,705,794,638,064,460,396,589,683,191,486,345,131,952,577,895,101,631,
590,461,372,641,940,135,511,107,884,082,846,553,273,582,817,298,138,634,685,
616,260,852,655,603,684,531,788,631,070,151,740,427,762,773,492,023,956,925,
250,792,428,666,610,606,996,579,809,196,457,449,328,904,982,682,617,781,123,
131,528,783,177,319,910,937,689,862,419,215,190,393,686,231,309,314,780,814,
015,096,646,959,740,687,677,228,836,676,245,001,023,280,273,692,377,071,102,
335,930,732,843,019,093,426,544,731,977,834,743,818,976,664,482,942,397,080,
986,048,315,266,877,896,916,539,377,953,345,476,206,427,329,758,838,487,426,
568,586,880,583,752,772,549,376,194,158,584,676,841,382,357,501,549,789,926,
567,851,477,928,466,486,428,273,013,015,992,584,945,005,147,900,272,448,361,
258,627,170,884,806,625,812,552,224,494,233,880,968,866,344,609,355,026,270,
612,857,278,975,419,753,567,858,382,543,063,439,687,072,684,770,174,652,299,
956,827,608,326,458,174,134,965,606,728,574,441,150,710,234,698,638,991,620,
786,285,943,948,684,572,377,368,401,278,866,033,485,972,062,256,323,203,564,
798,198,069,577,243,324,086,634,230,817,088,858,053,915,241,775,497,516,846,
837,744,661,278,742,055,466,612,731,216,841,118,828,321,809,338,707,905,500,
620,042,943,185,409,529,194,621,121,657,279,857,011,309,998,267,978,350,225,
827,258,552,158,321,171,181,581,233,911,020,956,406,114,282,533,021,457,262,
330,157,146,039,130,871,450,973,387,002,235,783,623,932,415,110,254,953,492,
607,101,585,169,142,683,352,764,621,051,884,966,511,780,579,234,262,038,342,
506,795,424,134,263,222,969,089,732,857,011,754,480,785,591,731,552,171,722,
593,389,153,991,634,384,078,352,376,659,423,766,073,342,928,689,324,340,400,
533,728,791,704,616,914,602,419,690,677,200,673,046,131,039,567,922,153,544,
345,594,768,784,328,690,487,179,099,119,127,632,545,315,478,449,115,200,451,
243,749,461,626,045,106,923,709,940,446,675,074,057,118,463,050,643,907,623,
207,572,813,084,276,999,103,209,748,226,898,694,195,067,829,145,046,159,465,
993,145,777,510,398,189,989,079,813,059,948,410,271,818,700,586,179,743,343,
378,314,700,399,580,565,620,417,240,797,625,824,757,762,226,472,247,586,426,
835,387,268,650,911,772,877,481,479,146,088,069,622,457,229,075,499,830,634,
255,881,567,675,809,835,389,976,624,067,815,009,057,430,359,422,747,821,851,
333,569,023,012,826,189,874,236,681,598,936,145,775,543,852,850,726,931,297,
031,208,513,737,525,682,825,050,017,771,002,749,567,433,375,918,067,957,695,
268,681,850,701,739,606,893,352,183,122,882,833,939,119,772,124,041,703,828,
933,479,947,702,848,310,336,410,182,534,579,978,838,073,825,165,528,228,861,
749,679,643,346,154,995,105,551,940,661,601,524,495,089,796,685,372,973,204,
927,963,022,812,135,857,792,017,112,139,874,517,270,797,070,576,055,032,558,
683,446,370,528,139,915,096,405,073,372,303,148,477,534,658,235,221,195,316,
227,026,387,744,893,980,955,330,465,233,843,122,418,870,050,409,599,052,772,
265,506,882,575,071,255,324,580,988,286,815,361,433,019,104,750,039,344,530,
928,358,241,065,635,233,471,109,716,112,491,752,758,915,945,525,001,735,358,
598,702,441,071,426,151,988,947,463,271,079,943,016,747,355,241,432,192,877,
719,649,640,408,296,515,519,123,586,911,942,125,839,808,259,288,873,459,393,
484,724,206,591,268,832,518,621,684,282,533,432,175,455,685,063,317,850,321,
980,940,727,195,119,690,534,238,013,423,628,390,716,385,519,214,996,824,567,
076,626,568,116,198,821,250,993,161,408,376,799,064,952,448,819,243,407,965,
724,501,942,244,708,625,689,812,558,969,369,773,157,407,080,888,045,202,639,
885,874,659,709,824,012,883,875,989,468,512,240,061,247,205,644,290,569,742,
637,396,367,699,669,162,235,384,347,542,078,569,714,192,884,064,190,288,468,
389,137,006,239,527,184,837,379,452,282,846,976,997,268,575,558,065,588,807,
751,929,157,221,970,280,459,454,876,667,143,075,275,994,806,728,830,853,677,
014,317,667,875,801,554,619,758,970,495,514,950,584,174,067,041,919,557,800,
712,216,678,814,507,963,032,519,529,858,351,039,770,146,613,688,304,641,899,
219,460,387,737,281,903,199,915,430,112,861,994,348,416,530,272,501,315,499,
146,462,158,100,032,387,407,789,668,220,057,138,943,318,343,452,881,949,722,
306,559,988,167,944,010,123,094,280,940,771,222,933,566,376,989,690,970,946,
041,350,300,353,725,842,887,312,928,047,252,275,182,415,129,657,856,298,865,
531,960,096,858,142,361,689,360,325,984,661,232,232,988,838,857,852,271,759,
277,522,490,806,767,582,945,162,774,483,367,899,303,490,272,290,830,708,363,
189,122,931,484,412,545,887,167,125,515,143,979,983,465,470,416,590,517,066,
897,362,847,937,108,946,299,922,720,581,944,220,975,765,187,004,665,685,412,
329,435,425,032,269,873,783,965,257,452,834,743,359,103,214,518,190,304,698,
289,622,004,873,517,654,031,194,216,789,056,835,496,725,678,257,495,158,091,
407,643,068,364,841,389,413,055,301,956,456,589,086,071,680,980,267,854,996,
199,162,096,471,171,837,942,776,276,588,212,674,352,339,055,964,307,093,148,
171,366,018,036,323,172,754,606,636,410,441,262,009,721,114,321,816,245,480,
276,136,428,344,025,703,702,104,269,522,532,608,043,697,713,730,907,068,806,
287,527,775,921,214,648,308,429,326,322,838,817,544,435,778,691,462,997,728,
459,464,017,353,254,798,073,213,494,089,745,920,846,602,035,382,395,317,154,
478,083,009,493,361,063,427,400,277,162,638,223,991,294,370,058,853,556,160,
826,392,465,885,839,930,064,618,974,855,188,670,966,802,705,693,275,894,643,
492,816,422,099,714,891,764,375,482,917,221,787,926,157,578,896,122,307,405,
625,627,144,590,709,702,678,683,774,008,722,026,224,168,119,293,058,705,637,
503,113,631,675,886,746,561,177,400,487,464,732,883,104,488,320,430,618,336,
287,220,743,931,180,731,357,391,994,116,978,150,371,945,944,986,667,978,194,
145,155,384,343,620,274,005,412,881,409,038,032,200,615,887,399,973,685,853,
492,398,238,885,504,239,215,028,795,536,494,245,872,263,518,769,777,703,294,
571,267,657,039,482,671,539,755,118,084,478,012,013,227,836,691,470,508,990,
252,682,515,952,939,514,512,566,926,293,136,243,008,278,433,762,275,198,436,
327,925,865,325,883,476,215,817,885,789,118,384,549,868,279,486,552,308,741,
386,698,374,323,192,738,821,260,447,487,854,499,652,323,993,541,075,322,140,
414,176,651,237,603,363,380,179,285,977,609,768,765,904,184,712,198,898,340,
408,150,477,261,240,883,587,617,007,082,671,918,964,464,735,280,519,692,515,
878,533,964,991,427,218,637,930,492,246,131,602,535,975,315,816,012,307,919,
575,443,573,946,793,393,068,323,677,250,019,351,094,349,101,820,100,239,371,
630,284,744,103,466,720,325,298,329,972,555,842,938,981,971,303,042,386,009,
047,012,755,519,877,150,154,418,270,908,046,329,342,858,643,573,650,275,305,
465,757,896,070,610,786,563,531,520,974,455,872,192,210,252,094,340,729,075,
747,092,337,353,188,371,408,878,819,558,449,956,570,920,215,269,368,500,531,
630,048,638,268,397,731,994,442,096,904,110,959,606,493,656,026,389,782,697,
250,980,158,943,549,456,426,151,516,866,649,969,649,521,376,129,502,040,470,
807,565,985,927,279,840,883,367,836,063,586,646,843,218,490,760,907,505,428,
029,925,334,891,160,993,074,291,939,035,064,532,652,569,525,431,512,027,228,
307,442,042,349,601,500,676,399,364,325,149,997,317,847,656,733,725,944,689,
799,429,576,896,282,098,311,308,685,141,939,228,133,464,651,935,003,122,486,
527,523,839,026,979,454,327,760,277,380,044,124,885,562,074,896,566,765,952,
582,048,793,398,298,893,898,661,828,520,814,112,541,345,403,349,262,829,117,
774,798,276,955,935,261,660,914,847,296,835,986,812,462,535,142,045,099,064,
678,586,602,398,018,610,252,164,535,881,943,809,355,871,995,159,182,139,896,
227,520,757,078,380,705,817,479,649,200,635,261,711,047,431,012,521,393,656,
007,137,617,406,976,967,507,076,470,805,663,577,018,733,157,778,674,446,249,
232,905,391,289,831,123,866,628,396,819,595,830,382,642,158,277,501,399,210,
604,211,049,952,331,047,612,704,721,255,384,061,662,635,025,331,817,722,774,
914,084,411,089,877,732,992,570,462,686,777,193,810,184,928,060,463,141,749,
481,481,637,705,959,757,112,597,019,768,447,154,330,435,375,302,872,211,543,
109,171,044,704,676,949,936,804,391,907,669,641,514,099,776,022,398,433,926,
671,335,349,360,611,079,896,751,994,099,348,648,702,973,485,081,615,540,485,
060,677,853,472,312,892,009,586,017,587,410,430,817,717,591,790,488,691,902,
876,445,068,723,530,931,638,563,192,087,323,535,863,496,516,007,703,665,656,
606,152,209,990,864,525,529,839,202,952,857,095,768,878,282,267,434,847,897,
458,496,596,405,337,209,966,786,152,427,284,476,957,358,873,392,648,242,904,
873,444,963,853,768,138,710,339,426,536,579,942,308,283,614,394,917,298,934,
384,416,259,831,651,466,020,622,121,722,623,412,480,169,311,625,347,501,612,
483,142,257,170,359,242,199,009,966,589,731,796,302,016,774,162,146,727,267,
205,836,022,647,079,555,377,167,984,408,715,386,390,628,161,928,116,039,123,
459,307,786,196,222,688,906,357,173,929,733,173,347,918,029,985,162,253,148,
081,838,886,152,081,721,139,511,129,062,461,881,133,648,138,628,237,171,047,
703,157,848,096,040,888,203,053,796,364,547,961,809,130,835,293,635,390,928,
344,354,954,487,011,234,983,594,722,942,455,059,824,751,810,194,642,593,669,
241,106,543,018,176,720,100,855,604,542,008,896,428,113,501,218,321,939,010,
964,715,569,455,487,656,478,537,799,452,340,666,705,827,775,149,208,651,001,
634,045,473,975,416,042,042,582,198,256,303,528,817,771,046,303,740,231,232,
756,691,457,965,425,774,115,489,310,942,399,677,882,192,448,855,008,117,561,
924,087,218,960,978,816,979,755,602,143,071,692,500,726,736,012,999,345,578,
586,239,413,616,705,989,546,781,811,319,750,068,104,849,305,342,064,131,247,
587,306,073,810,780,566,206,425,327,125,818,658,534,639,163,531,275,052,740,
849,070,694,989,508,340,991,125,527,537,094,058,164,334,504,323,195,372,596,
480,226,233,111,361,312,651,516,710,899,698,077,578,913,999,517,508,308,687,
000,603,143,827,428,974,093,096,381,999,129,620,212,587,847,333,857,439,105,
869,940,553,830,680,983,083,704,305,903,898,547,175,263,828,421,360,326,816,
607,196,480,214,879,333,380,617,843,132,942,100,188,712,149,197,603,042,854,
347,246,383,025,212,200,362,303,240,539,373,213,801,402,522,919,088,952,288,
118,452,987,820,552,947,701,360,594,763,694,252,885,812,599,927,866,941,681,
030,024,018,521,756,986,424,815,214,671,816,034,961,027,740,947,762,149,391,
263,947,760,751,307,824,549,352,405,015,810,705,665,157,098,333,397,333,172,
514,872,717,679,871,024,479,816,699,328,562,762,568,438,468,949,755,287,615,
351,326,401,561,134,896,394,083,701,761,961,649,262,431,652,545,205,375,459,
564,754,933,061,773,055,367,650,772,781,385,590,722,355,503,251,260,452,227,
123,050,897,397,480,038,813,164,273,209,234,388,007,203,772,466,485,609,141,
381,470,699,301,322,137,958,082,975,384,680,314,788,882,922,843,408,669,353,
667,955,055,658,040,455,272,762,013,626,669,453,857,170,865,133,068,587,813,
223,432,712,298,765,888,099,494,225,844,723,757,529,833,374,376,265,781,227,
491,094,288,382,460,714,473,741,768,194,278,907,958,937,777,549,092,484,872,
984,314,849,413,181,903,599,819,504,686,243,392,041,400,296,845,454,803,085,
844,923,987,888,411,644,885,806,032,383,358,236,247,317,273,222,932,396,471,
048,700,742,134,398,091,991,416,522,610,513,661,319,580,111,126,089,161,040,
731,752,796,560,407,917,703,253,671,520,330,339,728,014,012,067,678,100,259,
458,510,295,033,293,307,877,517,694,250,648,945,191,125,587,310,786,369,115,
597,621,413,250,815,370,798,385,630,986,533,264,347,144,395,368,682,136,813,
687,694,132,595,517,252,455,739,235,773,528,613,742,609,310,981,259,247,162,
094,404,027,673,533,979,316,688,740,170,015,343,818,724,343,328,134,320,071,
944,387,146,723,694,798,896,283,864,225,629,775,712,813,204,423,910,376,932,
412,575,141,247,765,514,535,465,056,680,800,374,208,755,041,825,524,405,950,
350,066,087,741,203,744,848,608,718,973,626,907,737,472,758,200,001,217,996,
187,613,455,457,618,216,514,159,792,874,523,373,999,673,474,032,381,325,993,
762,231,761,184,919,745,866,418,073,276,619,505,815,818,024,944,632,989,843,
151,918,396,853,909,108,632,398,534,731,874,147,256,804,765,691,715,069,262,
526,875,815,888,006,250,848,978,342,851,681,289,052,540,652,433,640,350,376,
835,830,377,171,158,327,085,029,474,317,386,171,607,283,172,039,169,990,373,
737,559,097,884,658,415,934,611,753,927,322,401,000,675,099,627,207,190,006,
971,431,254,691,372,655,522,895,846,956,928,708,616,356,172,958,978,251,926,
729,058,632,630,576,249,029,471,721,291,270,437,942,830,289,402,062,565,333,
552,115,273,812,038,152,506,069,614,073,198,314,845,644,832,757,279,834,497,
649,276,982,777,718,179,588,947,486,634,428,384,775,441,080,900,802,659,798,
695,361,296,776,589,735,887,569,676,398,025,951,461,288,854,160,674,588,469,
324,713,107,135,364,937,898,869,415,798,027,033,410,384,482,344,856,002,314,
013,508,923,947,154,681,509,632,052,959,333,324,759,416,582,954,357,534,438,
329,670,615,800,604,242,533,076,990,947,227,899,363,026,625,622,644,012,783,
219,809,414,193,798,782,283,917,238,812,912,523,163,179,720,976,260,760,729,
910,877,176,026,381,999,759,734,661,459,335,881,758,122,717,525,126,706,358,
684,530,501,374,891,580,681,865,938,424,983,819,374,768,392,753,621,682,161,
922,805,495,041,512,704,020,257,313,678,107,501,885,683,662,929,466,638,054,
171,620,259,888,581,339,700,625,664,424,063,648,006,902,061,493,028,010,002,
000,328,770,828,723,759,018,869,608,530,238,011,669,959,851,905,688,311,555,
831,925,866,288,319,827,548,494,353,966,976,595,731,202,004,964,839,821,342,
395,331,964,937,248,900,039,646,237,720,270,906,528,762,886,956,853,241,269,
170,737,463,751,638,739,352,618,327,811,470,064,675,028,717,963,435,678,831,
488,301,014,384,258,737,921,468,252,161,601,025,926,447,468,385,870,718,427,
421,403,957,782,877,361,412,992,124,465,010,131,818,313,046,100,195,306,989,
942,193,378,584,740,542,301,618,893,812,289,155,867,874,374,757,024,908,525,
624,994,348,544,901,311,459,011,384,031,891,798,051,432,993,391,735,914,865,
734,789,075,424,873,476,828,267,343,863,915,532,961,059,550,006,355,353,077,
687,970,651,454,164,368,268,174,456,687,824,930,529,187,271,804,228,956,238,
922,389,115,365,865,920,282,335,782,331,450,368,079,778,972,971,381,161,184,
107,255,737,568,591,355,373,938,247,934,224,794,510,857,199,754,183,724,242,
855,433,354,172,580,517,173,450,936,093,044,953,191,552,916,351,888,353,640,
325,395,814,975,385,580,628,921,557,077,430,782,292,156,058,988,075,446,199,
710,991,527,344,882,816,420,896,516,328,999,120,223,630,737,877,860,196,580,
132,229,036,508,478,332,229,352,302,430,913,500,772,834,510,530,028,284,441,
726,132,318,303,774,675,443,849,547,165,657,172,666,110,128,471,310,174,315,
603,303,468,806,433,855,216,631,425,959,861,534,765,322,489,949,925,731,745,
039,743,805,382,536,303,742,604,848,591,785,655,500,206,472,814,169,107,652,
934,436,051,947,162,464,304,112,547,783,267,990,030,049,157,638,846,759,907,
740,082,753,451,763,338,036,235,872,662,625,192,221,009,938,697,413,365,685,
821,197,803,146,334,564,919,088,424,876,004,197,710,747,042,372,518,750,962,
230,104,946,689,999,013,360,666,409,621,369,292,923,078,518,078,450,560,788,
969,668,215,798,204,750,171,518,862,136,485,769,247,319,633,822,669,011,087,
140,065,393,125,485,367,917,234,654,217,083,541,063,741,897,650,335,832,068,
306,113,752,997,934,963,863,053,304,893,618,404,432,510,649,416,047,722,495,
092,841,344,721,073,259,573,566,644,521,572,443,587,302,635,974,941,944,448,
305,354,862,776,737,239,379,637,972,464,370,736,354,889,683,653,531,045,018,
805,461,174,831,635,059,933,404,161,928,857,202,642,801,931,519,153,153,740,
744,658,306,944,337,509,377,204,728,581,688,909,703,665,372,157,346,716,453,
258,661,927,816,214,862,439,076,358,379,902,245,474,715,468,677,884,516,044,
964,746,775,474,056,207,735,559,494,885,543,351,530,636,348,030,236,277,956,
320,453,464,990,167,289,464,036,048,063,477,949,835,309,584,466,852,393,400,
528,449,866,119,725,858,488,116,615,967,006,295,228,965,453,906,062,370,339,
365,125,177,933,988,504,456,055,527,067,934,925,284,450,226,193,596,566,285,
401,455,818,024,648,177,406,365,925,551,919,668,337,672,546,214,126,590,754,
612,014,210,912,243,041,372,811,604,556,388,974,698,071,979,532,099,018,187,
829,542,873,941,007,977,529,308,146,836,424,030,348,343,146,413,439,300,664,
712,827,697,660,434,321,660,082,265,887,474,922,567,349,412,820,675,014,136,
081,033,081,676,300,139,996,102,934,958,896,926,854,387,611,320,890,506,693,
911,448,307,007,611,367,608,599,126,037,402,781,751,710,650,083,850,627,138,
139,961,378,375,252,185,794,684,463,584,718,398,808,496,968,721,346,881,610,
350,544,415,323,104,067,686,450,496,121,356,922,162,111,383,004,980,405,057,
737,053,286,422,532,431,070,071,979,746,483,719,060,885,598,963,958,218,658,
085,640,445,403,612,961,214,590,514,625,557,368,335,912,477,151,274,566,585,
358,641,144,168,179,635,021,458,608,066,425,208,411,148,664,049,707,077,536,
081,137,872,098,302,769,444,192,326,096,206,643,775,603,973,061,910,810,673,
902,802,153,857,344,043,344,153,777,819,493,098,407,825,805,141,856,434,900,
732,601,741,757,235,990,294,126,648,619,449,917,638,242,234,720,045,102,110,
225,784,164,933,368,316,136,390,954,996,608,157,315,048,605,018,032,464,741,
886,246,265,245,455,800,583,296,114,528,529,706,246,526,429,216,572,952,921,
983,655,300,226,183,829,191,035,857,979,534,768,843,451,118,114,466,184,353,
482,673,058,338,040,639,199,337,684,625,599,771,213,136,695,852,892,945,984,
702,077,060,703,074,215,981,481,166,976,991,494,792,892,931,954,525,204,876,
139,318,835,251,836,462,182,124,688,543,007,028,974,747,030,819,783,528,316,
214,856,425,395,562,341,295,339,553,709,950,406,485,676,888,460,458,263,245,
221,753,438,507,185,095,567,990,693,809,119,295,189,065,840,680,219,427,957,
649,072,038,179,891,632,728,209,136,431,066,560,922,219,747,039,684,910,730,
733,500,366,814,923,552,155,628,474,040,458,892,665,749,681,376,556,830,429,
404,761,866,955,510,256,420,911,719,103,468,297,170,089,477,209,845,314,394,
094,082,219,645,856,924,433,975,775,824,935,836,127,252,147,792,962,330,353,
011,595,537,780,433,072,093,049,100,971,884,511,370,369,741,512,951,528,416,
421,667,441,812,839,097,954,996,278,031,627,221,392,617,421,393,222,669,583,
030,882,490,120,459,659,147,868,346,906,952,426,656,401,894,147,705,846,101,
756,441,820,679,001,292,678,821,816,020,761,917,990,849,334,674,545,284,163,
199,457,097,048,580,689,286,613,398,310,561,359,604,292,432,767,916,577,296,
844,072,905,099,394,409,322,264,442,320,135,029,971,099,631,880,239,294,980,
885,560,922,862,085,677,842,451,583,730,576,539,494,117,339,004,255,244,715,
689,305,291,399,778,904,185,854,543,070,439,533,719,231,172,446,082,481,601,
058,442,102,149,333,735,135,725,149,312,032,977,525,639,664,782,767,426,717,
980,282,195,735,979,383,627,333,379,375,015,232,820,496,021,794,965,644,057,
673,758,724,217,039,322,516,116,618,833,372,155,283,923,846,854,035,854,297,
160,485,812,959,370,693,460,639,963,756,552,594,089,181,146,507,066,980,527,
018,380,443,284,223,866,763,387,330,499,593,879,819,896,627,848,795,206,545,
107,645,652,109,511,626,809,737,435,762,357,362,242,840,962,399,774,296,110,
991,647,309,152,012,887,563,570,922,352,755,354,057,647,346,119,388,690,007,
482,523,518,129,762,361,331,552,025,222,049,272,965,196,522,138,688,645,756,
719,185,849,010,159,091,475,863,042,311,411,625,166,016,290,674,852,410,568,
431,523,679,923,537,353,457,945,321,466,957,687,169,518,754,600,801,609,168,
766,181,590,132,250,848,969,609,732,170,260,626,024,452,628,972,991,355,724,
276,823,141,403,280,982,469,871,890,025,235,108,484,203,032,497,600,302,139,
773,483,573,861,593,068,788,831,425,152,373,091,449,960,101,783,017,422,731,
375,391,080,511,759,523,649,503,560,753,778,899,956,541,300,138,372,272,011,
448,128,165,903,645,368,948,348,804,401,307,629,963,317,229,666,900,679,901,
502,697,981,739,518,493,454,272,681,614,589,673,895,718,793,765,413,429,101,
646,694,926,908,817,244,340,526,416,411,600,485,709,468,815,593,398,500,821,
962,154,277,378,467,715,879,905,750,814,253,738,573,850,449,977,701,418,044,
272,546,808,237,741,747,470,445,242,131,594,693,075,594,931,199,708,448,057,
698,467,200,480,141,518,811,036,511,902,653,618,485,453,292,228,307,615,821,
514,187,650,088,924,772,665,004,778,112,380,192,075,950,541,869,200,129,454,
210,959,651,575,912,134,492,058,731,454,747,327,658,014,684,307,431,392,448,
379,393,398,668,969,106,181,376,976,090,303,141,694,628,029,772,699,237,483,
180,838,248,556,195,630,964,747,490,025,634,876,329,018,557,244,380,192,680,
377,404,839,820,050,006,659,781,734,772,398,788,708,295,023,264,222,677,924,
653,351,547,852,412,497,555,208,104,235,439,404,602,810,081,193,821,132,407,
460,296,536,713,534,678,454,165,266,636,294,688,653,633,631,429,574,671,179,
566,080,984,803,659,309,797,056,111,368,606,476,908,639,376,787,388,574,001,
318,116,958,424,256,581,818,089,836,729,515,654,060,855,049,802,708,007,862,
681,183,590,817,535,623,658,015,268,227,388,512,897,208,340,964,408,255,099,
039,788,574,168,142,417,818,871,445,373,237,080,507,926,138,799,145,349,777,
861,334,767,985,416,689,642,497,351,662,840,482,926,882,881,127,974,400,980,
293,227,725,557,004,919,211,579,504,760,275,431,602,548,815,177,303,278,571,
128,240,718,096,820,135,585,022,831,913,252,656,667,624,689,837,530,376,929,
155,290,021,848,429,416,310,194,674,256,731,035,674,590,018,426,979,575,838,
460,963,602,108,758,170,792,749,224,188,319,098,286,145,943,025,451,248,409,
262,798,495,119,542,652,318,675,161,053,155,133,442,722,255,289,851,522,848,
324,901,562,628,290,463,604,076,506,158,858,536,084,835,104,470,750,196,529,
369,015,523,102,676,986,241,969,579,855,047,222,887,782,936,194,412,210,910,
233,476,471,320,976,863,166,918,216,110,376,632,869,889,557,173,943,033,145,
452,608,243,882,399,161,826,502,913,044,788,284,697,518,600,059,482,888,351,
703,836,368,358,964,118,980,954,778,944,446,510,389,415,279,157,295,766,991,
119,369,101,887,304,309,101,174,310,011,486,130,560,533,798,645,166,779,437,
503,772,650,128,163,562,473,856,810,959,331,430,277,497,652,543,120,768,868,
347,116,563,344,616,607,629,398,287,372,240,678,680,325,920,586,830,908,882,
046,614,758,874,054,282,204,574,102,460,858,408,622,834,038,686,844,855,700,
335,833,163,918,426,554,457,756,217,176,779,674,341,832,055,865,277,100,615,
950,661,248,123,508,112,102,280,401,524,074,211,429,104,428,549,106,996,336,
436,942,163,631,964,328,288,014,604,706,682,800,563,972,785,176,747,067,130,
268,147,775,976,366,778,756,363,927,364,282,252,264,797,567,977,858,063,678,
562,541,440,817,167,220,523,164,322,696,841,752,021,847,839,285,418,106,047,
172,969,106,892,984,345,017,714,721,142,610,701,983,631,114,263,704,319,436,
152,619,851,551,699,008,079,580,690,043,479,686,835,929,466,026,538,784,437,
520,830,937,475,324,157,924,121,864,607,076,887,250,474,313,596,763,025,507,
601,046,441,926,453,568,807,849,173,486,243,481,472,363,107,502,745,718,264,
186,472,209,894,725,110,617,029,971,593,487,769,631,731,208,037,641,224,870,
601,030,804,416,580,690,664,577,202,427,813,702,500,103,739,940,319,459,736,
576,803,027,904,676,480,129,764,644,009,552,450,954,630,285,329,918,894,757,
789,167,571,777,711,166,297,527,666,692,854,780,260,655,643,415,415,925,184,
235,817,548,006,224,661,087,641,046,455,585,486,794,934,486,547,995,024,635,
673,427,455,470,723,059,278,283,026,604,844,534,708,525,428,247,043,957,818,
349,031,432,264,554,408,185,658,614,068,151,477,919,664,004,864,460,556,949,
854,265,880,409,182,451,148,167,681,274,555,389,609,776,122,046,702,295,660,
379,153,629,597,111,920,415,236,560,359,778,665,224,419,445,182,067,994,544,
356,319,603,262,856,052,982,974,878,167,935,625,137,121,439,760,795,664,318,
369,336,583,333,177,325,498,853,591,177,698,981,522,374,726,124,545,418,267,
138,082,780,056,137,762,336,310,677,707,424,326,811,736,139,245,136,481,029,
185,414,108,043,863,241,804,352,997,342,027,633,276,187,248,565,754,888,102,
332,260,006,016,066,149,537,177,226,050,730,135,239,723,563,965,014,133,322,
010,190,079,234,116,655,686,978,873,416,372,560,608,264,407,332,088,031,174,
637,550,495,630,880,018,626,406,377,680,164,285,565,361,881,295,760,988,085,
718,221,231,383,321,974,277,110,002,635,765,271,735,525,082,767,776,744,553,
718,319,407,132,264,208,970,206,969,234,114,053,446,347,442,659,271,310,023,
908,339,956,343,557,662,677,013,863,191,915,405,102,786,872,669,972,578,219,
081,206,586,458,672,183,913,200,876,008,697,952,488,132,846,348,261,337,610,
598,591,772,358,284,022,840,407,680,325,773,447,472,635,486,588,002,931,958,
520,531,444,589,531,090,833,509,127,406,434,350,467,115,504,976,146,398,635,
160,611,032,071,306,346,992,048,557,199,817,017,750,821,974,501,313,146,305,
424,933,351,525,620,223,217,242,926,761,544,202,170,282,744,126,813,570,954,
910,597,634,231,752,915,872,258,840,181,787,708,931,181,864,461,075,647,456,
165,897,040,115,341,074,920,955,792,692,377,378,455,251,632,877,421,574,299,
190,589,181,951,875,479,861,609,885,215,674,911,186,863,989,450,424,249,353,
783,603,119,210,001,880,686,764,260,982,146,189,158,545,119,277,698,925,917,
840,363,910,599,276,380,763,651,497,017,118,001,506,645,842,463,130,650,403,
880,487,719,381,666,783,533,996,333,240,139,094,584,997,580,834,963,413,029,
546,728,044,816,513,881,437,520,146,431,661,006,851,322,010,329,508,772,811,
794,356,819,737,029,295,685,004,767,573,703,798,873,709,506,859,731,328,351,
716,928,435,959,192,246,500,627,899,094,470,111,708,469,378,706,208,316,776,
734,349,097,232,385,863,119,450,429,921,617,572,062,891,466,229,922,026,559,
381,146,455,066,639,801,816,303,514,097,547,438,553,920,260,918,091,850,777,
231,537,550,750,905,865,418,550,093,448,164,461,708,615,635,724,577,306,042,
559,456,490,668,726,866,120,681,203,679,805,913,048,444,247,206,965,205,597,
585,799,718,529,823,605,830,466,006,053,039,847,084,321,547,139,899,269,435,
205,390,418,924,611,939,759,109,757,229,351,852,983,520,604,523,786,316,290,
617,863,485,890,390,742,192,259,739,372,540,550,201,231,248,782,530,541,775,
544,735,075,915,011,530,506,639,316,312,877,715,665,630,067,045,070,533,571,
519,910,908,075,193,603,794,863,952,941,164,073,852,209,683,457,782,816,672,
132,150,084,648,124,436,133,192,412,856,668,338,352,806,901,830,974,718,042,
791,677,553,428,940,162,221,552,972,188,686,561,483,957,893,665,338,245,032,
438,206,422,662,498,706,776,168,527,714,206,699,093,191,971,248,236,717,210,
604,770,595,973,840,914,520,028,560,774,748,140,359,792,531,119,284,397,155,
924,647,817,398,221,825,267,485,702,864,992,810,935,847,809,905,242,578,340,
426,291,639,873,222,747,268,499,790,553,021,819,036,662,912,577,308,852,799,
711,432,193,619,566,989,983,079,616,862,081,311,498,000,566,015,226,090,595,
713,484,771,371,219,607,106,596,475,758,099,293,989,771,106,246,637,012,928,
475,014,268,132,319,566,292,007,314,137,863,938,169,516,035,101,878,950,793,
045,771,183,308,485,553,025,359,119,133,960,710,881,062,187,775,206,834,377,
017,787,561,106,380,131,264,144,971,851,227,317,957,892,178,277,219,390,105,
434,865,689,762,855,105,650,287,847,895,907,325,814,095,874,921,978,417,891,
325,551,929,918,329,942,302,479,676,163,033,169,972,998,445,124,011,566,562,
288,381,498,362,190,185,288,857,429,551,511,395,895,204,502,814,988,141,077,
823,288,165,710,347,960,711,173,792,638,028,382,882,215,152,793,460,698,330,
267,374,421,902,311,836,702,703,956,724,315,097,156,261,847,388,776,440,524,
930,327,374,203,282,789,713,969,854,612,223,936,960,581,230,221,559,126,260,
571,398,117,209,154,040,601,583,915,558,137,422,355,610,997,227,655,271,612,
184,330,103,288,652,119,497,911,627,055,667,228,830,455,380,461,915,829,876,
808,229,687,831,925,844,700,510,157,889,955,220,924,946,282,687,860,393,728,
242,883,712,652,881,594,739,918,875,202,078,155,636,083,303,467,687,347,143,
591,865,278,762,634,830,049,017,392,418,963,087,046,637,076,443,181,248,386,
208,525,866,215,664,574,487,264,976,792,731,668,455,058,606,839,692,928,461,
083,162,029,270,864,837,081,924,574,191,339,573,130,510,892,838,306,369,955,
093,239,433,339,896,486,582,576,125,748,209,256,704,747,393,227,735,125,450,
558,304,250,351,896,313,960,190,896,181,114,433,474,064,061,236,298,521,208,
838,533,922,913,331,503,906,443,042,727,365,994,207,927,442,591,505,657,680,
452,962,039,875,685,324,688,800,885,459,382,447,059,605,221,499,010,223,650,
358,889,629,368,741,057,048,557,908,970,182,511,004,163,719,965,347,259,201,
537,594,159,803,496,238,537,157,169,901,139,159,838,035,193,842,229,045,609,
157,576,788,783,684,254,247,689,643,720,949,835,246,113,671,704,469,446,455,
774,485,486,877,868,201,334,831,687,564,564,672,956,925,117,164,933,904,969,
167,229,183,930,495,243,929,842,830,656,156,711,408,907,514,277,848,725,238,
718,208,498,374,741,315,934,192,855,217,824,676,827,480,673,207,689,355,454,
801,112,722,534,843,561,846,303,374,961,510,983,424,289,318,677,182,855,228,
921,836,465,202,485,665,890,118,589,218,556,326,991,145,781,364,299,156,203,
098,351,785,752,544,116,430,898,165,371,208,967,101,883,535,667,337,424,611,
026,773,389,129,420,277,746,535,702,917,623,733,144,831,471,160,327,830,082,
647,826,418,619,854,831,927,597,536,286,817,812,636,523,111,867,471,220,813,
402,712,307,600,521,672,735,645,891,307,169,351,488,079,039,192,256,278,732,
481,822,977,913,715,485,392,574,802,879,635,164,503,031,824,915,364,421,903,
006,714,930,104,398,784,031,187,866,498,618,201,305,755,098,426,779,954,488,
825,576,293,934,674,295,435,170,074,089,997,889,112,022,597,980,337,097,972,
731,878,351,093,051,726,384,560,138,839,562,713,650,045,003,941,146,187,179,
307,569,417,827,321,274,257,620,959,894,566,680,812,625,993,824,049,233,192,
919,854,049,972,058,327,449,108,767,502,700,155,141,351,280,243,880,413,719,
945,317,171,768,918,421,160,549,767,788,615,966,795,524,470,736,248,698,543,
145,248,147,115,410,135,669,460,153,057,046,298,781,392,172,979,317,057,260,
578,760,504,563,902,654,352,154,222,169,544,831,665,124,731,133,789,337,028,
984,033,359,672,759,456,158,212,580,482,126,396,475,549,281,546,714,854,041,
222,125,353,552,549,171,522,718,215,224,083,874,793,095,557,385,755,507,216,
435,604,885,976,036,956,786,527,922,137,864,128,254,217,481,091,915,063,068,
054,376,527,060,830,641,683,541,802,770,420,916,682,798,779,722,702,630,185,
075,659,855,165,353,079,977,245,024,886,131,663,287,624,077,130,526,738,880,
314,711,111,076,632,499,868,147,139,503,088,265,116,852,264,073,357,406,261,
546,923,176,139,923,102,420,577,854,368,569,780,312,850,972,943,999,114,540,
585,582,264,134,527,439,613,985,762,934,470,207,146,886,052,964,089,622,162,
281,073,515,280,569,108,480,288,589,892,202,494,719,861,089,023,460,310,422,
481,770,763,329,817,591,596,971,447,043,461,037,485,602,377,726,790,626,290,
007,625,407,472,144,595,137,651,630,164,271,013,654,473,727,762,354,718,026,
047,389,709,706,549,029,488,729,047,419,232,823,337,529,962,846,480,956,212,
887,681,692,196,959,491,529,004,735,646,748,615,956,654,296,910,251,594,360,
816,724,882,516,774,857,368,649,102,626,946,087,382,278,339,653,333,183,151,
673,082,296,964,193,152,596,431,512,673,099,851,027,007,977,593,238,485,184,
714,543,255,943,202,803,292,115,589,423,109,770,945,543,650,276,204,479,864,
122,430,891,349,762,721,351,707,305,655,405,317,826,674,452,871,181,935,654,
322,715,188,290,288,247,119,842,776,085,154,293,410,188,464,529,800,301,535,
425,991,874,865,284,970,154,247,916,931,635,220,966,609,962,809,707,014,378,
914,019,504,828,587,146,897,039,674,539,308,121,236,180,044,375,983,760,190,
173,365,717,432,313,678,634,321,436,318,274,945,780,266,281,557,342,842,836,
141,159,606,822,486,162,167,172,850,166,502,992,162,639,772,395,822,878,643,
670,490,892,549,653,915,811,243,986,663,005,091,181,938,933,790,670,542,561,
920,717,156,764,585,422,760,686,995,243,533,473,461,909,255,681,017,271,491,
416,138,653,938,314,191,551,125,212,535,949,194,037,742,751,817,673,306,038,
747,549,551,242,863,143,619,787,503,630,906,069,567,733,574,191,955,296,136,
989,999,172,335,941,386,392,367,617,921,953,214,153,695,041,031,553,733,108,
796,982,033,194,503,902,164,564,048,056,512,904,160,006,342,890,210,826,064,
215,094,374,156,298,559,737,354,339,930,937,231,391,258,989,344,229,814,042,
069,349,872,556,332,126,855,701,527,289,358,589,535,494,008,818,941,165,643,
761,084,580,644,703,387,159,237,731,418,786,403,645,194,021,711,867,063,429,
625,291,155,347,636,920,201,954,574,293,684,670,704,035,230,204,872,949,617,
870,887,255,260,723,863,480,651,622,801,000,633,175,760,512,576,232,909,503,
000,167,023,831,634,728,489,196,048,589,925,779,321,828,124,348,277,488,628,
938,640,632,388,548,068,513,480,766,314,890,930,940,911,520,694,560,738,266,
291,545,868,859,222,640,053,563,995,514,924,745,958,666,931,986,395,973,185,
298,785,336,117,684,875,661,686,098,427,938,596,454,105,262,016,036,006,264,
631,219,615,746,124,299,697,861,387,073,261,074,321,209,670,352,056,447,859,
788,902,729,452,237,190,774,790,791,922,662,285,946,175,626,726,373,235,378,
578,318,358,305,956,725,866,134,502,582,969,270,476,931,115,772,626,761,727,
497,994,621,878,654,303,613,641,036,148,604,031,361,980,381,949,382,389,532,
282,490,685,843,780,536,992,827,795,079,351,486,442,833,493,258,663,392,102,
687,901,656,075,977,524,904,044,759,715,780,259,329,493,898,111,974,686,167,
765,675,712,979,310,683,592,805,965,367,039,024,714,907,570,519,943,358,745,
297,489,808,257,458,122,399,959,755,693,774,308,819,423,542,893,574,084,992,
407,094,569,417,745,399,766,765,937,780,397,874,586,597,549,854,505,461,375,
230,370,403,076,890,887,922,862,933,033,666,204,896,583,394,260,768,773,345,
649,753,126,685,140,122,258,434,891,008,036,982,700,463,781,903,295,242,459,
175,066,308,770,751,122,741,971,714,912,286,514,999,203,969,773,761,628,875,
602,738,252,400,509,338,379,828,911,378,022,572,220,031,559,718,549,010,317,
895,368,437,484,737,073,504,612,516,751,454,213,517,697,200,625,032,376,267,
647,998,062,246,242,535,525,805,957,898,576,467,618,990,385,685,803,719,549,
793,869,120,330,944,690,812,221,447,397,456,775,095,480,455,466,460,552,875,
821,710,905,017,879,261,432,252,884,698,340,021,224,388,617,169,470,353,342,
191,821,959,484,212,794,002,810,051,902,146,786,670,922,042,266,950,494,286,
735,640,312,099,418,943,476,320,357,020,205,161,122,794,912,818,005,137,988,
580,736,609,318,173,663,695,882,365,126,515,976,107,386,864,771,259,584,121,
044,707,298,692,028,810,028,958,267,410,288,641,924,412,487,315,027,662,178,
018,130,849,379,166,846,032,691,289,979,783,913,362,735,019,339,466,642,381,
160,500,875,929,900,549,883,936,515,296,464,141,757,919,462,470,024,920,327,
588,606,727,577,281,638,609,777,414,148,666,061,947,830,113,812,980,469,762,
161,446,196,823,795,442,430,856,581,975,336,841,710,649,638,904,965,884,670,
888,947,507,362,835,579,530,388,494,492,282,622,899,954,051,273,246,385,478,
181,461,876,403,060,556,210,942,521,669,158,687,284,749,464,420,128,640,740,
706,012,354,629,230,521,442,537,891,878,659,699,981,747,349,525,641,814,166,
149,733,797,437,986,426,386,072,675,490,661,645,981,048,992,778,818,736,445,
351,409,437,821,537,621,708,915,134,747,666,463,158,298,882,449,616,264,436,
950,778,145,894,564,438,588,221,293,185,722,169,102,345,008,802,087,905,180,
283,525,375,197,655,234,286,112,234,528,670,719,441,303,955,025,694,208,108,
848,497,223,151,130,650,135,649,552,660,030,385,434,450,735,691,150,879,498,
466,886,149,176,440,806,729,651,104,049,341,805,889,487,540,038,554,926,982,
246,375,706,471,154,671,330,800,918,374,160,441,231,640,524,164,443,959,088,
814,473,462,196,455,957,206,712,968,882,950,635,677,678,790,588,067,191,449,
478,976,703,572,150,199,081,288,677,754,957,765,788,014,251,938,332,852,526,
261,065,025,814,788,770,309,624,457,732,687,466,238,372,765,673,656,554,197,
490,007,336,231,324,870,070,392,345,382,404,018,841,782,770,730,045,169,652,
385,896,848,392,596,969,428,613,484,762,402,192,228,866,786,442,591,392,373,
028,474,466,805,062,388,169,103,912,947,148,845,762,842,617,904,700,481,706,
165,110,082,901,144,180,853,142,002,828,499,166,368,308,381,320,688,875,217,
643,221,004,936,267,275,172,830,381,861,971,063,180,581,385,580,392,196,516,
375,423,943,597,079,163,510,757,981,920,665,474,183,971,124,339,688,440,051,
744,479,810,581,181,646,317,063,865,624,172,258,790,762,923,189,873,943,650,
811,627,718,016,894,183,099,334,086,632,504,063,281,776,183,739,201,438,475,
266,286,769,556,940,401,086,339,663,814,389,706,491,327,242,771,770,317,042,
099,801,561,784,354,875,473,583,395,036,944,150,920,809,583,005,661,866,591,
365,755,214,215,888,971,360,134,627,351,862,677,476,138,271,063,277,426,113,
219,512,942,283,982,390,950,563,321,878,969,230,223,773,003,657,957,438,100,
109,623,805,518,818,793,845,846,439,887,490,555,848,729,674,361,428,253,295,
250,680,385,432,955,098,623,716,639,251,791,994,341,676,004,607,879,803,559,
684,364,417,350,094,716,811,978,489,816,868,579,407,077,487,484,467,525,711,
151,121,675,514,058,441,227,586,437,006,471,987,104,258,704,016,052,010,152,
002,461,465,245,071,181,240,361,556,679,611,765,604,598,585,381,608,507,520,
486,051,028,894,741,996,774,391,306,510,722,995,394,043,797,122,128,880,372,
544,642,670,324,769,096,780,275,691,504,648,657,695,849,929,944,705,963,159,
809,550,638,694,744,938,783,311,429,620,489,588,935,654,738,256,858,190,287,
020,024,259,702,210,244,158,526,625,704,778,278,967,340,560,124,685,774,468,
697,213,743,148,230,083,778,055,543,603,297,210,594,076,498,528,274,222,617,
660,704,371,720,013,324,835,608,202,258,697,926,767,180,085,525,573,226,294,
262,514,858,019,234,361,940,390,902,348,507,304,197,035,417,326,751,672,257,
043,095,862,168,198,218,175,009,531,956,413,575,293,273,963,398,110,404,141,
070,383,756,221,265,046,546,552,499,275,101,349,325,832,089,051,880,075,989,
404,220,615,188,352,428,902,112,376,620,806,414,219,630,841,429,743,597,783,
187,486,958,033,475,315,386,668,176,126,874,128,778,265,573,116,298,380,053,
077,277,705,859,098,550,379,873,743,729,672,947,755,938,797,594,877,503,641,
723,345,358,177,096,530,985,406,067,771,269,961,252,851,671,545,076,902,696,
108,032,928,892,725,655,632,961,708,814,499,097,593,908,447,195,388,746,394,
114,694,127,052,282,277,052,822,807,598,149,442,701,553,100,374,746,420,750,
767,625,398,567,567,450,177,644,851,880,224,880,758,594,068,946,387,036,291,
331,867,142,152,746,244,726,175,750,595,924,576,250,818,199,114,729,386,444,
073,944,264,225,707,888,010,983,848,819,036,983,881,328,446,007,854,232,647,
668,941,969,559,423,082,286,603,253,552,880,548,607,528,285,302,562,253,311,
021,881,860,164,579,069,383,597,789,531,302,299,347,459,854,925,772,764,876,
935,597,113,909,625,985,641,111,987,081,636,151,599,171,049,691,827,686,367,
776,448,941,336,004,244,045,096,555,452,180,549,076,876,883,286,393,688,601,
412,865,880,296,655,899,020,245,243,811,544,937,540,505,766,361,727,371,356,
540,343,638,265,568,704,917,818,358,474,953,065,897,378,285,984,746,576,100,
397,730,149,550,964,021,882,588,652,101,237,293,100,451,380,187,363,255,474,
133,898,016,874,382,365,073,308,785,382,774,425,847,645,948,058,653,600,986,
921,147,272,506,327,455,930,953,041,482,399,508,913,726,758,710,558,950,623,
985,304,740,472,468,536,250,372,508,744,373,818,092,065,676,516,891,391,758,
113,068,891,343,542,893,661,856,160,294,135,328,976,864,784,808,106,986,533,
198,605,306,892,449,218,764,736,667,065,148,784,918,109,696,068,914,348,450,
390,513,542,411,562,920,056,351,251,257,910,553,215,032,834,744,407,367,601,
534,084,407,124,029,245,673,263,399,989,142,447,786,866,125,974,945,876,231,
375,264,192,618,246,212,493,551,581,894,917,995,853,845,889,504,372,024,741,
988,445,819,974,272,072,711,758,356,403,046,287,632,832,409,583,186,480,554,
723,556,137,106,730,338,318,310,775,665,933,336,495,286,215,586,477,967,313,
985,993,586,712,385,901,294,558,698,152,695,205,016,336,373,961,976,966,555,
059,967,219,213,939,305,867,385,114,085,949,704,091,498,182,750,142,265,728,
262,258,264,472,030,747,285,171,051,000,562,382,030,825,019,729,618,144,270,
984,876,289,086,220,987,074,592,203,874,488,913,456,248,121,892,010,289,272,
729,103,403,634,445,963,372,621,792,430,750,464,720,705,767,029,414,050,141,
826,812,024,685,912,261,299,618,454,791,840,122,002,949,007,886,125,546,637,
444,477,057,965,410,404,927,145,068,399,392,219,539,546,483,930,121,536,018,
762,072,537,735,720,582,805,050,504,230,437,434,694,779,417,659,669,394,581,
810,804,993,137,315,605,519,871,194,004,159,209,745,441,269,602,793,039,795,
927,853,813,214,759,203,928,090,565,177,317,755,952,565,124,642,543,558,479,
514,643,702,654,990,717,066,451,959,374,259,223,972,872,879,060,237,614,555,
114,095,672,147,448,386,612,946,812,320,641,166,866,536,219,720,196,133,210,
948,491,608,873,487,028,606,873,536,105,519,407,882,831,380,190,775,021,139,
741,328,968,223,959,819,864,560,378,323,477,362,247,430,251,566,213,727,608,
215,716,117,498,518,935,273,096,187,296,734,221,856,523,378,241,104,583,823,
053,206,693,551,310,346,329,754,352,435,934,901,554,886,134,827,054,194,965,
961,199,830,265,700,182,821,493,931,643,467,325,595,586,369,975,364,592,065,
210,778,286,823,703,490,093,998,782,137,687,021,204,703,768,671,261,429,343,
910,804,300,189,564,399,439,421,747,876,871,922,285,859,608,637,557,642,063,
042,723,196,864,184,822,670,562,711,548,723,209,634,859,124,480,408,785,125,
714,053,252,378,173,856,145,413,446,619,137,497,703,455,726,580,953,633,351,
865,862,881,833,453,445,213,918,053,361,915,363,490,302,620,349,445,819,960,
981,208,278,820,225,551,224,755,301,807,757,951,231,237,673,493,138,194,752,
314,682,850,011,591,943,076,208,158,463,209,220,591,411,895,798,469,389,209,
719,864,562,487,881,220,146,630,397,827,974,092,490,653,635,861,849,050,689,
485,470,934,554,964,389,554,187,247,147,248,872,082,699,662,676,144,681,609,
625,588,622,704,112,832,879,523,269,297,246,554,875,215,998,713,837,752,003,
687,093,406,119,930,480,543,077,162,515,636,997,594,378,287,602,009,412,153,
495,075,569,568,880,911,764,478,863,368,685,791,958,270,983,623,339,678,109,
108,515,882,787,939,924,287,360,317,488,749,808,509,857,216,605,595,007,173,
719,173,307,560,188,183,308,935,968,787,775,203,273,058,735,637,474,806,449,
065,741,115,526,900,025,809,885,091,339,052,569,684,369,102,310,824,025,564,
014,795,270,881,388,530,993,063,461,446,771,639,009,734,124,626,441,197,453,
295,185,065,148,482,238,795,459,350,637,906,840,279,342,647,819,070,649,650,
455,324,500,636,994,239,549,231,844,771,627,253,616,701,877,488,571,638,692,
335,680,546,304,235,544,229,758,214,907,515,970,381,922,505,479,123,256,889,
480,393,077,858,366,624,735,109,152,462,325,301,067,341,118,254,340,015,493,
099,533,808,112,192,408,076,703,840,206,570,903,301,586,781,815,557,643,002,
718,577,967,360,506,131,859,195,423,301,072,566,661,773,920,090,266,140,742,
696,292,646,025,809,702,465,960,191,781,340,087,084,152,302,044,439,314,648,
070,715,880,110,745,005,787,906,459,966,141,858,402,511,315,331,267,940,501,
762,162,881,509,052,119,758,389,010,883,405,518,871,497,241,317,924,626,207,
735,873,297,387,187,364,118,894,176,698,026,854,807,498,621,301,323,557,984,
226,165,023,549,393,013,170,678,023,338,840,215,328,054,420,489,233,553,549,
050,165,481,353,066,733,472,724,433,770,469,128,881,510,309,311,179,654,496,
320,044,628,374,808,940,188,468,299,014,885,790,186,350,157,781,477,172,371,
071,263,615,027,772,593,424,170,158,867,496,466,699,747,331,124,267,680,829,
051,409,382,237,569,954,656,439,704,199,114,371,432,064,866,930,663,808,610,
094,662,959,837,282,017,590,906,201,235,348,247,786,875,371,174,528,697,783,
990,599,894,184,180,118,977,481,565,731,582,577,467,365,151,384,621,294,384,
810,309,357,568,892,619,107,379,431,068,237,858,102,222,830,812,458,366,005,
069,304,753,416,089,460,019,991,328,747,134,805,112,208,333,733,551,682,811,
727,448,637,653,243,815,795,192,143,212,410,549,322,256,423,566,707,660,502,
564,226,109,898,840,665,325,484,474,307,943,675,397,483,420,280,975,126,163,
702,960,180,755,350,776,098,320,687,777,353,836,894,228,736,622,920,486,658,
199,515,406,630,475,774,642,926,193,363,169,746,477,202,781,590,194,429,354,
537,171,779,822,328,741,620,102,592,568,980,896,017,672,098,458,378,032,584,
419,907,523,414,675,883,306,016,396,793,099,721,163,458,041,938,608,022,830,
895,325,527,754,299,905,437,365,599,794,645,788,641,547,902,195,950,925,189,
566,074,424,804,114,462,449,270,411,638,891,373,957,747,248,314,985,331,689,
524,783,007,737,460,750,168,583,656,759,350,483,653,883,119,444,350,267,135,
107,632,988,926,830,161,725,668,644,070,704,602,349,394,469,629,066,870,942,
863,432,359,950,394,538,113,491,863,385,246,566,083,560,948,523,717,902,277,
216,878,522,556,158,476,724,825,717,274,910,689,118,581,395,827,081,553,745,
550,004,023,471,898,790,484,078,520,309,223,769,068,067,501,633,651,172,850,
313,630,507,783,085,644,121,736,774,034,979,791,099,798,059,344,413,086,625,
673,989,074,195,139,190,971,116,607,304,545,685,894,130,852,088,762,139,381,
542,463,804,153,652,378,014,098,215,867,790,357,183,827,592,310,567,820,230,
084,029,281,411,773,644,524,238,889,474,555,891,696,606,353,181,323,613,505,
875,318,165,817,993,541,588,481,379,157,184,161,548,616,029,592,262,137,224,
734,146,931,890,439,951,839,610,523,174,362,586,971,754,157,278,128,455,123,
734,079,350,747,957,664,671,212,875,585,670,365,141,478,905,469,005,705,374,
548,384,170,999,516,073,334,110,433,118,001,413,496,614,562,427,022,359,460,
458,079,604,652,881,082,024,117,688,567,723,035,182,043,368,387,309,901,481,
124,787,607,782,211,199,042,497,396,214,519,959,778,606,999,271,494,756,864,
412,663,586,897,420,596,456,538,125,545,756,123,629,319,145,119,090,710,045,
687,227,494,077,411,551,091,266,767,834,768,520,735,890,370,082,232,608,809,
615,229,009,321,499,594,966,479,178,241,672,456,071,752,995,425,651,162,006,
336,565,910,718,885,168,438,878,088,149,493,585,649,499,281,173,386,399,706,
413,552,894,597,507,464,822,256,789,003,952,492,253,469,459,353,000,827,614,
385,600,949,155,568,636,245,217,643,105,372,337,386,853,505,976,309,437,361,
599,649,976,924,606,564,608,166,631,164,785,907,499,947,930,787,896,043,973,
694,421,790,725,992,077,684,708,547,192,146,323,626,364,651,323,528,413,238,
063,692,125,738,388,132,441,118,524,639,505,764,495,867,091,742,739,413,936,
116,921,153,777,861,184,520,266,724,931,198,178,023,484,807,384,948,584,021,
509,311,589,214,075,235,101,694,104,395,314,655,247,299,913,589,725,616,546,
372,412,170,245,137,607,840,690,066,066,020,654,501,598,056,566,789,819,092,
665,103,826,284,775,174,489,291,094,098,103,648,785,946,101,301,865,835,285,
694,552,961,018,541,658,339,206,244,426,881,248,281,123,001,315,874,281,467,
387,023,678,287,253,121,453,309,279,690,583,584,885,367,973,672,901,832,635,
875,109,026,266,462,368,202,324,099,506,605,055,136,498,724,396,473,176,744,
931,669,268,369,461,666,019,669,921,287,959,138,498,285,268,965,711,300,510,
593,368,942,370,616,936,731,615,661,419,492,437,737,351,639,264,110,372,384,
742,419,318,730,102,499,141,931,015,393,597,778,093,123,715,737,433,006,822,
469,337,908,123,403,159,437,264,172,299,549,402,607,080,106,959,615,584,368,
613,522,550,990,109,275,227,772,339,596,815,198,394,158,695,803,414,951,637,
005,022,872,806,929,102,474,627,808,698,923,301,765,417,148,241,065,379,943,
120,005,474,755,220,887,139,658,571,589,299,082,699,072,273,090,390,123,853,
244,154,136,170,136,987,127,135,738,120,839,622,021,266,343,511,158,671,775,
167,124,628,907,235,411,379,178,644,585,127,157,439,476,380,070,887,872,556,
483,013,671,619,579,127,352,573,876,686,264,822,282,632,813,111,708,598,492,
444,110,450,365,344,410,600,838,809,311,507,956,190,785,364,286,393,612,944,
034,649,783,228,348,877,089,930,510,030,677,501,095,429,381,090,573,456,251,
072,231,910,402,176,417,248,531,469,236,784,675,794,242,590,670,972,727,094,
330,896,074,775,346,911,750,083,344,025,599,151,946,516,352,316,453,324,334,
294,227,907,668,577,061,842,918,900,242,212,082,145,386,430,732,631,262,228,
217,568,034,689,844,983,339,057,799,029,766,441,168,122,805,663,453,585,556,
781,389,837,775,159,584,609,934,809,269,246,093,182,172,961,664,822,696,548,
495,533,720,207,739,018,712,100,526,199,006,507,020,340,898,275,340,011,706,
892,550,688,772,569,619,767,665,605,322,982,425,299,948,707,355,275,920,671,
009,305,871,733,178,734,698,361,770,438,500,947,585,683,324,015,807,178,458,
253,375,651,860,363,835,652,667,764,978,220,538,013,173,691,691,449,231,712,
447,666,263,192,309,791,724,318,290,442,328,819,177,595,525,163,353,460,452,
802,752,894,031,352,406,895,220,815,425,956,835,078,999,198,553,792,687,172,
797,726,043,808,004,095,130,309,256,186,576,357,886,775,347,883,948,405,476,
474,277,899,513,812,214,967,984,902,123,584,200,305,252,423,892,909,181,730,
841,194,815,014,590,720,054,027,024,452,410,650,237,326,121,639,138,793,643,
917,037,362,746,231,532,818,261,705,041,838,091,677,189,146,873,233,770,844,
398,227,840,856,743,474,567,170,506,632,077,180,556,297,635,863,876,036,571,
571,651,741,261,296,319,720,432,561,944,403,397,172,642,971,708,854,092,385,
224,507,162,588,715,203,270,230,883,160,293,431,936,876,480,956,274,268,573,
300,434,708,249,312,448,773,613,668,054,400,814,749,452,617,138,281,998,530,
096,641,228,645,882,310,150,172,245,370,049,211,576,059,573,440,169,055,692,
860,557,487,843,453,228,602,895,239,587,400,101,197,235,288,727,259,963,356,
226,453,229,445,712,595,272,687,146,585,554,798,549,506,275,345,207,035,414,
652,366,716,840,342,237,884,299,568,100,909,729,133,825,168,268,344,942,950,
744,622,581,086,425,768,087,306,766,828,629,322,259,691,889,981,831,485,709,
834,425,922,644,981,956,509,544,364,043,772,482,636,606,360,404,119,972,097,
265,935,506,788,211,216,449,697,294,190,688,252,807,701,955,831,902,542,309,
105,279,894,911,284,486,481,443,743,318,083,091,708,807,243,480,780,295,136,
489,053,097,350,007,643,443,886,354,588,017,624,688,104,905,957,259,796,472,
140,050,452,411,255,293,732,052,755,722,454,378,240,069,086,589,900,018,838,
706,303,690,187,733,547,741,626,503,066,920,185,607,529,940,579,843,220,764,
873,730,074,336,719,073,952,568,018,844,136,862,359,470,513,826,102,979,768,
945,277,491,070,722,051,093,423,242,871,575,088,547,754,180,896,938,906,333,
842,169,327,907,804,476,250,690,359,872,759,316,881,688,971,859,177,387,731,
251,660,593,749,905,882,346,958,544,711,295,699,065,225,971,442,614,087,623,
356,371,873,905,920,620,171,108,046,042,487,256,500,962,996,101,330,037,299,
902,301,884,082,526,679,639,748,810,022,453,110,660,388,221,538,654,246,132,
471,073,425,694,413,082,463,302,580,434,268,486,617,256,170,004,388,847,841,
362,256,668,294,927,888,517,493,492,933,096,521,311,931,287,535,013,524,843,
746,095,017,856,020,972,512,892,099,326,615,128,194,469,830,295,981,036,412,
001,703,981,010,650,593,623,281,732,192,833,749,047,417,815,761,090,856,197,
683,186,757,649,450,917,780,024,116,137,033,151,772,833,642,534,166,522,324,
598,521,980,144,812,961,193,056,442,922,209,039,868,825,125,247,744,179,352,
439,078,627,622,587,954,030,945,771,446,895,907,440,405,082,282,472,337,786,
289,695,815,405,190,821,107,596,904,944,865,033,088,094,527,963,956,773,599,
314,442,581,039,815,029,087,916,613,322,037,895,553,756,381,434,938,961,702,
321,477,104,326,394,402,905,227,423,516,240,391,324,888,855,389,115,487,460,
385,614,092,035,933,886,786,612,890,476,252,683,484,799,279,765,100,998,403,
543,815,046,885,577,330,702,504,142,432,748,562,381,712,985,812,375,498,125,
388,469,564,704,081,688,029,118,647,327,893,109,598,927,877,790,869,399,161,
469,153,871,139,576,334,885,623,407,184,123,426,705,688,187,508,233,933,121,
667,156,135,401,616,518,733,707,453,889,731,943,725,044,105,755,048,745,941,
620,432,965,133,899,755,644,854,279,168,459,308,602,528,550,469,091,274,545,
257,995,473,892,592,718,275,575,900,791,759,699,748,071,722,340,013,950,837,
552,079,859,045,501,618,333,965,078,474,930,073,578,769,713,013,290,037,651,
833,168,613,047,646,882,312,778,920,518,167,643,529,317,729,957,062,196,364,
714,605,507,271,219,724,766,647,052,600,031,172,931,702,609,687,256,591,203,
709,857,585,490,549,624,188,130,664,971,110,094,968,703,237,311,175,112,014,
232,456,636,039,475,018,706,317,432,300,918,514,742,357,324,150,467,832,109,
353,839,160,434,134,892,531,240,771,246,660,575,097,314,084,402,148,729,138,
091,413,566,839,082,378,367,667,820,333,463,205,373,828,713,369,865,829,593,
929,542,089,024,438,443,664,266,164,285,764,964,077,812,085,760,036,592,852,
680,589,362,364,891,406,887,083,526,919,349,192,075,399,605,067,267,275,407,
911,989,500,303,879,252,152,878,322,192,593,297,256,805,799,625,828,110,982,
759,805,115,798,168,672,627,733,108,849,969,362,420,793,984,764,386,236,369,
073,190,604,876,739,018,661,629,817,602,724,559,525,815,090,119,323,882,959,
412,744,063,374,678,215,473,830,547,741,448,501,360,452,003,775,204,027,443,
521,645,136,933,874,818,837,885,659,990,517,198,576,242,014,759,694,069,910,
160,664,182,186,937,734,596,833,407,243,510,785,071,376,159,856,863,220,226,
782,720,518,374,542,711,879,916,576,603,133,567,934,806,582,631,532,802,398,
745,158,917,260,035,130,168,595,998,639,118,025,546,344,952,005,407,559,920,
917,337,010,377,652,497,172,275,966,173,140,575,168,127,309,325,345,868,297,
071,326,233,416,448,459,113,261,910,912,147,304,158,392,308,183,685,607,291,
669,463,644,160,191,202,123,934,453,345,710,370,210,203,850,045,803,802,188,
569,902,738,482,886,901,084,093,775,225,720,709,724,545,017,481,712,733,525,
106,255,940,500,757,287,119,778,639,457,947,640,910,110,911,932,609,059,804,
996,326,924,117,871,054,729,922,493,036,904,057,476,917,291,909,017,227,557,
650,271,393,205,532,148,296,549,452,126,213,731,520,721,961,911,981,850,023,
805,486,631,274,983,781,485,384,447,463,005,245,298,357,509,915,825,764,203,
614,344,045,638,029,549,913,747,947,574,620,862,360,229,494,077,805,147,692,
091,419,331,287,922,495,777,130,840,746,892,335,950,475,861,742,427,948,825,
822,349,333,970,611,070,540,427,961,859,442,217,353,442,913,549,488,228,176,
715,200,809,660,304,700,659,497,426,445,714,231,955,363,371,774,433,441,043,
693,245,487,969,761,886,928,959,032,637,186,977,808,270,454,158,419,009,680,
365,316,593,559,641,621,168,889,585,160,451,476,888,701,383,110,195,676,378,
284,316,048,580,249,055,418,710,701,630,544,698,570,675,799,837,825,744,970,
921,110,840,878,585,058,040,546,356,754,359,742,433,031,650,789,637,554,640,
474,854,848,031,458,178,784,739,427,834,652,453,925,852,946,340,057,620,445,
945,232,687,518,892,453,620,711,992,825,294,133,303,537,461,505,531,622,661,
771,233,294,488,358,947,848,188,863,731,184,924,434,378,816,196,397,288,893,
573,210,959,859,811,466,969,666,759,936,725,795,454,049,882,525,250,170,044,
403,030,657,380,708,982,059,281,502,509,201,520,460,891,585,446,809,378,828,
333,861,410,669,130,615,034,261,947,049,824,057,608,396,191,034,113,352,771,
824,095,519,774,252,942,875,550,421,690,152,531,171,093,756,279,454,116,315,
301,739,701,413,687,681,679,125,335,880,051,134,136,109,634,094,498,175,986,
244,177,679,592,225,734,864,058,307,558,277,991,761,399,799,761,526,924,592,
687,209,726,132,693,904,487,586,387,419,017,249,948,410,189,138,692,571,523,
853,208,786,606,810,571,872,661,394,114,103,260,160,999,009,325,283,822,237,
999,675,191,581,592,418,695,654,840,507,679,736,167,547,382,950,568,737,221,
386,108,598,478,866,762,945,857,868,099,236,707,046,543,288,936,057,877,699,
396,787,991,875,595,634,903,780,168,763,803,574,590,703,702,118,833,956,761,
376,212,496,092,416,760,731,746,231,287,537,771,567,422,049,820,176,047,770,
091,781,220,769,797,310,850,852,451,885,970,794,068,236,908,765,202,570,494,
883,671,824,210,721,475,506,849,391,439,135,042,522,709,531,567,745,403,501,
739,468,031,327,597,718,925,526,874,930,972,491,140,337,319,245,055,627,315,
884,677,614,347,059,621,201,993,505,157,721,828,184,253,420,570,405,156,436,
878,534,359,071,681,085,025,226,687,521,250,015,984,275,749,406,515,148,048,
242,341,313,034,188,454,788,927,056,103,945,424,925,658,708,224,492,788,113,
681,028,657,832,449,915,214,041,998,637,153,834,912,052,009,885,331,779,548,
208,148,001,800,281,787,307,198,238,781,756,325,700,761,142,477,311,045,144,
150,413,987,066,841,535,701,677,530,945,011,894,819,912,619,950,999,184,073,
745,039,672,076,379,205,731,295,583,848,729,257,748,677,153,625,735,550,919,
286,690,020,483,105,601,967,383,075,678,363,618,865,063,764,552,392,986,741,
312,265,921,373,323,269,860,220,750,876,431,175,794,016,141,445,199,771,459,
704,152,430,350,609,976,739,186,353,581,406,723,271,338,932,841,980,858,702,
918,789,640,628,582,858,788,025,561,278,697,971,605,347,157,629,784,783,822,
752,110,512,941,207,496,478,049,541,371,835,544,801,037,437,426,381,675,509,
155,740,059,013,233,888,959,211,016,137,140,288,494,959,024,296,997,689,872,
752,360,906,558,030,201,651,366,418,344,743,343,488,672,313,302,769,352,108,
763,825,757,319,805,678,177,342,364,741,965,876,975,139,323,576,869,811,926,
610,073,934,665,171,490,989,244,534,870,136,450,762,058,830,860,419,588,937,
405,032,809,030,915,901,604,881,091,771,641,380,446,574,610,103,270,739,298,
687,050,415,310,316,009,473,111,965,809,832,640,884,314,659,647,880,962,410,
860,343,086,377,948,645,496,417,190,988,681,463,916,270,445,330,288,821,011,
461,490,962,917,025,783,631,396,763,546,017,360,355,285,910,498,221,065,957,
704,568,926,284,808,469,355,149,872,712,301,827,499,381,652,787,878,292,526,
303,346,513,518,074,684,167,242,995,406,899,737,972,908,971,388,700,960,413,
941,842,025,765,271,202,490,464,011,012,010,465,183,204,301,970,398,318,293,
999,051,879,509,163,215,589,960,587,716,506,792,122,078,541,086,102,671,460,
248,355,437,383,784,830,694,284,719,563,434,216,558,516,499,912,490,992,008,
276,732,059,073,063,593,911,885,468,179,845,705,198,617,771,030,580,828,014,
254,945,009,737,294,669,213,042,549,807,056,098,513,997,992,668,601,011,872,
140,862,642,207,510,559,538,001,200,055,940,241,912,719,794,750,500,827,393,
197,987,632,318,509,169,898,554,659,110,809,836,241,383,046,713,045,281,285,
386,851,975,312,269,378,516,999,031,459,457,853,888,131,385,602,664,154,023,
004,229,997,615,086,146,548,187,826,561,149,461,514,439,219,307,265,028,767,
352,023,071,813,765,868,486,863,570,591,498,475,402,575,959,657,111,654,109,
334,724,346,871,088,878,480,840,583,096,743,127,773,185,494,281,949,500,648,
601,576,277,131,111,174,004,614,613,556,063,007,832,617,492,965,305,445,141,
716,371,934,875,609,740,288,740,961,735,015,925,019,802,749,222,568,911,441,
287,408,221,925,988,859,571,622,426,236,435,206,719,616,664,448,382,341,530,
392,501,376,459,533,006,566,182,770,288,748,552,234,476,584,362,503,724,402,
658,064,808,493,190,553,174,451,886,771,584,858,156,313,060,269,865,941,917,
841,742,564,022,790,135,221,968,191,817,416,963,429,088,134,800,037,016,406,
931,423,923,265,960,659,172,601,028,930,647,465,672,480,067,694,288,296,182,
917,802,299,748,445,602,438,691,667,969,296,385,526,945,860,847,318,094,365,
507,170,504,718,022,087,456,569,741,401,025,901,428,670,995,509,615,253,042,
712,442,433,275,402,700,723,208,420,489,801,177,139,406,908,720,127,756,241,
445,507,136,337,505,348,087,645,320,902,247,421,210,222,153,055,659,380,718,
009,083,965,680,807,855,835,868,681,777,963,363,401,545,221,073,561,952,862,
170,354,007,644,467,565,792,386,434,832,998,676,444,930,888,353,124,804,339,
315,507,476,031,093,375,376,236,255,787,704,768,547,842,605,843,615,619,829,
567,744,800,951,340,613,531,275,203,604,755,792,318,341,536,858,194,018,129,
227,050,283,595,583,424,114,120,884,043,098,978,594,290,812,694,998,255,407,
334,630,160,128,343,506,310,250,134,307,805,814,588,261,612,701,734,863,287,
778,038,506,369,271,851,152,280,222,317,653,590,827,530,166,388,082,519,590,
798,269,729,023,536,471,040,960,881,291,188,991,018,516,248,801,811,897,518,
602,222,493,679,763,865,359,419,476,468,638,470,896,485,794,632,151,644,496,
291,539,727,718,998,928,865,895,152,024,760,041,657,450,608,731,123,232,133,
100,930,671,800,521,370,341,439,974,406,216,782,068,713,496,369,778,786,914,
231,901,667,434,567,782,130,509,658,229,917,737,957,042,678,901,135,186,598,
584,640,783,553,363,482,414,494,740,297,369,472,581,442,812,179,603,132,325,
065,620,648,850,030,770,721,708,495,935,477,119,843,479,807,241,498,175,901,
913,380,831,336,930,985,446,773,252,886,499,582,396,636,694,346,959,858,517,
447,891,397,517,736,177,990,832,480,625,450,116,896,641,341,732,411,953,290,
750,939,063,017,837,852,040,355,818,527,061,293,000,744,391,297,202,567,855,
408,815,853,299,030,248,809,405,366,615,487,709,762,601,702,545,269,037,391,
917,418,091,375,865,916,095,239,751,599,151,295,407,439,925,678,156,986,113,
009,737,082,518,223,476,239,451,413,569,556,818,641,054,901,367,288,478,816,
852,864,655,685,577,896,770,243,874,042,224,290,963,673,733,139,454,910,539,
678,961,137,483,927,972,678,726,540,256,090,200,785,114,109,673,040,205,607,
172,042,995,116,661,564,776,738,558,612,543,392,240,971,569,911,237,631,206,
127,041,556,024,230,920,257,757,319,635,937,289,276,310,096,284,814,268,131,
560,967,010,936,533,264,606,343,036,565,030,167,012,155,613,786,077,126,756,
947,451,022,767,699,555,043,361,650,947,185,134,669,115,000,095,382,909,465,
238,551,389,247,820,053,445,128,944,607,048,118,779,281,524,132,702,100,204,
305,441,176,358,366,859,102,914,464,400,262,060,847,814,269,494,231,321,174,
241,369,997,834,119,736,216,665,710,588,186,488,020,088,062,974,191,715,508,
403,096,613,356,005,887,578,924,968,789,482,249,608,078,347,444,918,303,087,
619,401,305,346,965,281,074,174,921,973,161,629,013,665,360,514,072,581,680,
020,340,051,090,719,757,945,330,408,913,246,835,198,993,011,121,419,880,524,
235,170,364,345,449,306,613,043,558,971,424,566,109,334,314,806,202,695,210,
930,044,548,993,602,890,495,807,610,329,353,048,544,070,444,953,137,913,599,
057,597,477,396,002,881,675,300,504,977,281,755,477,412,238,972,801,984,758,
679,389,473,023,851,860,379,515,198,924,063,869,682,469,570,421,783,375,994,
525,500,219,288,121,896,264,080,981,730,692,458,445,311,724,016,671,067,071,
432,109,625,574,026,375,310,730,432,286,040,909,498,945,596,666,715,173,204,
453,243,730,100,971,937,582,963,461,801,992,894,610,403,678,053,960,516,853,
239,643,934,694,874,358,691,633,386,771,686,508,893,906,489,374,819,006,229,
924,980,954,089,531,157,832,150,115,075,710,742,334,668,455,329,844,298,653,
719,862,822,125,895,948,855,641,881,005,684,878,029,867,862,766,131,927,788,
379,728,816,451,099,551,954,422,509,398,197,362,535,015,202,632,279,999,048,
258,300,971,107,416,964,035,423,319,574,981,028,026,127,792,324,032,767,925,
421,711,511,902,636,440,435,143,738,280,234,189,787,842,980,801,123,949,398,
090,600,711,806,005,333,672,285,912,527,994,244,834,821,695,313,806,823,316,
748,656,265,393,465,350,191,054,269,919,443,483,714,803,229,183,975,987,158,
616,380,097,030,624,835,198,379,841,656,036,004,047,727,987,098,020,893,717,
821,298,459,573,938,078,937,857,302,689,215,859,154,777,253,307,272,380,618,
220,974,254,220,358,094,788,633,091,922,698,001,822,791,319,452,387,829,302,
934,618,828,645,217,033,049,028,448,571,383,226,085,822,371,560,674,306,126,
468,792,282,942,809,979,709,119,707,330,874,721,633,892,345,978,464,931,005,
522,258,751,497,333,289,277,979,003,103,400,743,489,599,166,357,396,563,901,
232,598,366,767,503,575,656,591,058,870,649,853,898,977,309,454,410,689,425,
966,995,358,442,765,369,311,047,554,800,715,867,959,609,177,958,146,223,967,
022,412,824,153,621,936,363,142,390,612,418,193,996,747,397,125,265,269,661,
615,907,405,906,067,957,921,041,341,004,371,850,806,383,836,144,919,327,361,
872,395,606,126,920,089,221,839,625,554,388,385,955,281,209,865,150,927,351,
784,903,121,214,031,193,563,522,289,300,904,319,725,689,137,953,231,780,495,
798,653,703,523,226,521,105,342,770,480,270,374,648,318,528,431,743,639,843,
758,185,213,858,235,198,585,612,671,930,667,388,998,237,717,909,474,052,089,
757,425,772,771,272,462,697,441,284,206,810,654,145,929,645,482,942,653,120,
050,629,412,484,467,227,017,857,676,631,252,426,985,719,482,180,669,201,681,
226,540,961,611,541,351,225,664,374,909,525,946,102,462,268,708,207,386,979,
709,550,379,072,072,860,151,589,013,638,136,461,392,779,914,508,233,509,807,
711,766,722,588,705,321,032,086,305,896,508,852,985,307,689,830,603,650,866,
327,841,849,627,818,345,713,107,201,976,488,973,303,992,607,809,889,435,237,
703,118,682,355,701,415,601,738,412,913,549,183,761,708,786,239,830,012,760,
872,394,345,137,556,700,176,355,064,741,024,765,607,578,837,802,575,923,974,
739,244,873,364,648,057,569,026,621,601,510,250,758,032,178,418,664,279,642,
913,297,971,191,030,300,391,706,834,360,759,750,059,791,141,519,613,248,295,
776,739,738,041,957,343,893,670,607,803,327,305,207,997,958,036,205,786,069,
084,139,413,671,132,203,290,125,661,104,843,685,789,112,348,411,580,307,755,
637,273,088,536,976,916,872,382,041,624,788,543,367,880,746,185,791,506,473,
495,356,696,452,337,017,637,169,630,578,623,579,132,493,629,914,142,868,013,
567,859,029,754,088,427,474,487,347,136,002,160,253,846,194,379,019,031,589,
779,373,006,117,839,576,563,942,619,150,023,626,545,761,625,721,539,802,035,
396,086,572,212,437,837,715,953,917,504,076,441,866,885,727,194,287,141,094,
426,561,703,597,339,907,902,361,219,419,061,055,776,242,954,096,524,596,935,
841,440,503,380,708,809,564,044,032,663,786,108,241,853,610,696,704,855,367,
509,661,018,710,733,328,268,023,534,694,476,194,391,044,447,468,881,101,870,
540,104,431,742,299,299,091,284,448,551,367,028,000,716,059,328,241,773,461,
379,169,824,388,029,452,302,428,611,944,378,134,972,672,281,964,656,195,624,
965,233,992,757,697,236,623,826,362,494,815,500,502,334,037,049,434,985,358,
600,890,889,474,673,105,267,224,799,409,987,790,834,791,920,005,415,230,966,
023,660,476,904,733,865,872,604,701,478,700,877,003,918,875,831,823,832,211,
235,574,761,769,170,270,722,064,251,312,735,881,701,415,929,368,651,901,821,
692,035,672,619,506,386,591,243,299,028,569,778,263,917,978,464,725,487,609,
678,416,118,707,441,118,040,977,875,549,668,543,159,311,983,394,026,132,384,
559,352,036,028,660,666,352,158,942,585,348,992,726,577,106,416,910,166,516,
430,539,474,162,170,309,626,003,614,306,869,402,466,825,418,843,964,386,343,
920,245,527,779,187,746,089,725,240,839,142,546,312,501,322,945,132,559,635,
468,576,547,001,884,949,614,039,485,448,028,241,674,448,068,696,534,114,753,
393,387,542,180,684,713,721,989,465,434,141,197,187,553,582,015,631,658,823,
185,503,206,182,245,572,768,362,488,462,573,236,453,559,656,534,805,174,231,
775,914,843,838,690,855,121,941,209,380,184,049,106,641,506,359,221,768,652,
896,061,601,447,935,091,452,942,971,858,234,329,909,816,074,628,458,320,706,
633,016,987,463,674,392,367,573,951,361,487,007,772,532,879,694,876,542,215,
201,332,616,255,369,185,619,893,423,770,152,318,773,396,377,196,024,868,703,
463,940,229,701,278,872,365,794,850,101,649,718,227,441,629,880,327,391,719,
009,884,570,998,790,670,247,700,965,734,190,441,101,237,892,899,790,242,789,
426,168,727,317,563,972,282,094,809,017,596,463,829,487,386,368,413,134,247,
431,970,134,814,217,208,928,472,469,124,667,955,142,956,024,129,217,306,598,
895,463,213,179,741,457,398,149,727,289,204,606,129,751,570,459,855,792,589,
730,166,348,480,644,881,221,716,258,601,464,399,125,604,109,090,023,942,155,
821,335,233,109,450,254,224,917,410,771,867,799,579,538,335,670,704,246,639,
731,996,288,991,670,086,129,813,611,086,584,711,643,006,586,185,272,745,808,
644,599,759,014,872,825,117,693,029,844,986,026,835,158,257,312,686,781,978,
563,371,030,943,600,526,310,736,896,146,495,284,363,448,170,425,745,898,955,
950,763,933,252,638,267,361,186,198,255,917,488,899,089,999,279,254,303,414,
996,092,919,953,891,990,493,115,759,560,424,941,630,967,967,081,445,303,430,
912,850,588,042,332,269,324,636,107,628,168,100,315,362,974,838,057,566,641,
202,104,981,970,079,713,220,327,881,689,708,517,077,931,119,796,917,841,057,
503,609,297,532,323,014,907,894,713,616,110,867,259,606,781,514,129,465,109,
753,058,468,860,186,164,538,351,790,801,417,868,042,324,115,885,478,336,202,
136,955,394,447,664,991,410,484,419,183,168,619,761,507,540,672,109,125,089,
188,920,323,573,858,302,553,476,791,270,076,385,829,379,296,212,669,532,371,
589,764,858,113,840,541,266,923,298,759,748,998,138,639,668,270,929,411,226,
456,217,124,172,286,011,040,297,416,053,862,452,025,126,727,443,438,271,222,
567,730,598,102,670,902,615,242,188,639,098,155,874,612,811,999,331,861,834,
792,885,367,115,350,513,361,213,650,091,929,760,694,836,531,427,214,983,397,
186,769,924,218,787,756,981,677,087,106,229,283,113,995,588,196,289,268,292,
629,044,657,630,042,449,350,589,475,083,392,123,306,064,247,920,379,328,611,
807,386,146,393,474,359,730,628,427,083,892,941,145,540,479,988,921,663,359,
969,726,765,767,999,982,225,907,583,405,668,685,736,560,829,001,661,342,689,
488,962,085,267,443,940,420,383,486,995,227,213,636,292,176,886,853,049,146,
079,105,902,927,690,654,526,450,383,030,108,397,699,157,440,080,011,787,662,
359,962,879,184,476,317,468,602,114,079,046,757,895,057,582,466,520,440,996,
074,150,076,175,498,325,059,493,338,465,267,619,929,406,451,478,727,627,528,
081,645,238,159,317,866,535,222,522,419,088,893,677,554,805,449,534,614,729,
880,628,056,959,923,080,217,475,071,713,244,063,867,458,486,009,476,125,607,
315,023,602,990,675,691,267,748,695,496,585,222,559,100,467,430,315,466,788,
454,135,310,080,827,658,042,647,310,272,373,380,334,473,055,602,663,277,763,
499,284,877,632,476,790,244,433,182,490,372,877,149,073,122,395,343,265,770,
544,516,413,533,238,125,894,564,875,057,741,227,783,569,331,460,349,606,512,
462,535,065,703,030,839,888,917,490,559,942,298,052,896,141,183,454,023,036,
557,619,326,314,083,090,030,375,236,666,713,480,991,650,401,157,380,056,157,
460,403,624,016,968,322,212,298,879,662,000,366,805,642,179,807,576,779,082,
320,128,206,027,976,027,249,401,836,356,524,678,488,528,383,721,235,520,962,
349,305,169,586,120,188,565,759,432,521,160,138,432,259,926,901,410,388,370,
784,198,540,746,627,926,171,473,654,686,628,318,259,398,952,741,472,543,119,
009,331,716,704,346,753,793,700,162,680,959,055,910,128,192,462,492,014,985,
373,744,152,889,925,941,010,018,329,707,792,342,692,551,903,194,820,763,524,
689,913,929,394,190,170,017,001,289,182,806,404,271,469,533,493,638,940,026,
940,974,336,589,342,087,459,469,384,983,036,718,658,775,341,046,391,512,825,
056,871,274,404,011,827,472,733,067,183,082,454,873,099,436,822,440,656,109,
948,323,986,678,431,762,947,460,249,990,996,640,575,716,300,778,202,548,553,
382,911,548,370,483,242,222,426,488,246,629,154,807,685,540,343,815,965,814,
456,167,442,588,080,284,626,893,606,794,863,778,129,697,093,710,192,336,451,
468,086,715,894,030,077,468,725,759,304,768,147,119,581,383,377,659,412,607,
842,668,388,302,618,998,113,785,041,160,964,714,813,121,315,132,898,730,210,
823,389,350,136,434,701,562,544,221,640,352,653,451,685,061,397,287,591,717,
156,822,909,968,225,691,428,004,775,492,106,941,403,633,919,356,427,425,866,
173,680,119,044,091,970,721,774,137,989,509,313,708,553,951,948,624,013,480,
515,899,840,422,379,857,863,588,317,914,802,279,564,490,846,225,843,346,916,
148,244,815,081,869,120,376,511,056,212,268,660,476,225,246,129,813,060,130,
557,872,569,997,369,440,463,598,588,192,819,058,180,887,882,331,576,789,372,
924,488,437,784,285,202,013,883,394,487,757,979,725,676,698,373,019,198,175,
483,411,785,601,381,244,203,742,678,976,419,103,565,599,115,209,247,611,569,
965,943,431,428,750,074,747,279,179,213,535,360,005,727,586,965,998,051,461,
614,892,813,429,615,129,259,987,074,412,052,735,727,663,809,042,154,293,231,
571,720,812,444,537,224,793,417,378,689,843,564,012,916,537,751,324,549,474,
861,564,299,537,489,736,253,264,962,038,280,548,104,426,600,077,077,309,856,
104,243,393,942,077,571,088,789,011,045,114,148,987,045,736,127,124,396,351,
957,077,210,500,865,497,037,486,641,970,490,964,667,625,553,867,446,221,513,
045,682,272,240,846,386,745,703,490,377,872,085,614,831,402,671,105,218,274,
924,759,391,809,797,045,781,460,604,583,192,636,727,391,611,995,169,359,967,
509,684,290,593,260,035,652,500,431,253,317,274,118,439,758,303,314,707,909,
473,346,348,464,510,956,535,928,991,605,370,073,157,507,672,993,603,356,332,
044,895,087,933,283,546,323,130,837,172,832,957,343,973,173,100,635,152,947,
913,958,600,245,341,480,888,044,634,397,826,091,963,221,328,141,724,078,702,
943,364,661,646,103,588,365,665,009,099,098,881,174,092,096,722,703,742,900,
579,295,664,476,661,124,535,629,028,536,718,661,205,960,739,429,945,963,466,
980,590,684,631,241,385,910,264,688,678,079,987,485,669,645,641,329,112,389,
427,024,325,305,643,118,967,378,429,108,142,809,675,568,000,533,662,359,646,
136,003,178,566,988,040,736,580,941,283,401,767,322,095,605,743,897,237,775,
128,573,238,685,964,391,413,514,027,292,106,475,065,322,652,473,366,219,082,
693,218,272,331,863,910,570,859,313,080,962,301,388,483,692,181,301,775,932,
058,709,394,601,784,916,725,404,018,147,458,665,190,678,451,927,447,262,866,
960,246,544,635,162,986,249,058,641,034,105,600,165,772,334,802,604,429,254,
909,627,683,867,294,403,472,645,954,680,375,768,185,588,408,485,810,497,814,
848,244,842,416,701,135,550,410,996,327,023,824,287,401,089,309,191,738,689,
619,472,663,926,145,242,688,162,547,384,460,273,633,810,140,699,460,001,726,
293,773,032,567,169,982,852,540,049,447,625,887,734,506,519,228,970,878,141,
000,927,447,647,423,035,702,187,192,366,249,233,132,116,490,123,865,795,102,
514,452,114,067,106,514,670,400,151,463,443,109,315,463,098,246,850,648,964,
918,552,083,296,788,169,942,150,496,996,466,399,424,767,576,164,745,077,635,
570,981,742,624,962,305,858,513,427,673,462,526,083,558,639,969,609,938,416,
363,693,477,933,836,509,166,377,635,674,030,651,382,055,674,920,755,071,852,
681,328,073,774,322,913,230,185,822,065,626,273,478,339,853,204,339,481,925,
488,816,264,419,258,291,390,660,680,416,436,888,397,104,806,713,130,371,626,
867,510,839,402,437,314,441,921,540,449,908,053,150,433,669,098,442,681,790,
325,290,105,172,455,373,132,778,064,496,425,082,877,404,389,324,157,775,722,
781,949,310,347,720,336,059,029,792,223,902,662,024,958,679,024,669,336,128,
917,996,290,524,856,750,343,855,535,920,782,448,582,862,819,638,830,362,919,
674,214,644,717,284,356,556,675,926,226,019,334,838,782,639,427,729,158,858,
308,204,152,903,926,664,377,858,095,847,733,106,305,048,499,408,339,092,263,
422,089,569,768,736,086,475,307,186,500,647,376,421,559,644,488,445,188,019,
466,144,994,616,031,950,661,814,712,269,944,094,602,426,255,376,827,655,227,
854,180,557,024,337,626,309,725,355,216,557,014,472,072,910,849,212,634,197,
477,847,374,528,320,971,629,224,852,694,326,867,405,498,969,436,592,068,911,
473,230,530,091,181,573,838,136,021,416,268,667,598,991,408,404,781,854,116,
209,147,010,017,789,763,218,365,792,931,575,604,706,601,664,972,336,821,091,
976,830,309,427,791,081,550,288,184,154,468,204,969,666,667,737,853,552,281,
313,319,882,476,340,956,316,675,807,986,886,588,357,212,441,494,232,473,427,
632,823,465,437,639,440,923,605,721,841,176,489,771,573,597,157,671,960,521,
504,484,786,448,983,950,296,064,527,201,167,816,469,492,255,930,670,971,441,
181,849,833,130,425,043,184,895,813,783,789,725,256,853,619,683,339,081,405,
214,742,368,497,045,483,685,066,384,272,703,931,392,175,843,467,018,915,602,
193,501,216,057,707,308,300,425,958,731,643,012,019,717,664,636,494,210,692,
768,702,201,494,936,108,888,546,526,821,990,622,434,814,514,058,931,435,358,
254,116,609,353,399,220,054,743,718,607,304,380,002,140,232,076,788,925,941,
111,301,610,038,954,139,866,528,901,302,362,697,970,922,407,825,012,149,005,
357,565,136,915,233,259,599,054,128,470,414,061,993,806,543,643,853,372,768,
644,081,951,495,343,817,769,609,431,888,354,406,400,851,723,169,065,588,847,
940,912,135,172,548,401,318,888,873,210,445,735,706,099,212,826,721,194,487,
242,537,391,342,498,845,725,789,362,201,041,752,399,624,928,318,069,457,373,
345,280,846,401,385,486,639,463,279,643,623,995,638,479,470,567,947,971,940,
463,493,844,419,108,332,917,539,711,427,198,455,732,543,529,384,149,305,837,
815,253,744,101,190,817,583,879,402,007,685,645,932,661,291,914,452,367,680,
624,210,266,951,751,985,110,335,380,892,606,190,397,472,757,725,890,753,845,
739,421,564,873,738,586,882,727,082,943,921,611,259,795,529,138,346,668,151,
560,577,509,981,614,031,689,128,113,342,860,075,134,994,226,911,454,798,010,
336,286,075,697,088,351,828,867,651,595,648,234,076,721,827,113,644,309,913,
241,825,331,370,619,747,173,546,420,448,199,089,205,572,536,182,699,115,221,
310,931,927,179,493,081,766,315,965,879,565,653,842,162,539,739,837,365,447,
027,813,628,151,149,757,569,682,652,504,794,429,800,408,372,444,353,025,205,
316,074,131,285,643,456,220,141,265,345,569,268,550,280,077,533,175,602,557,
904,540,598,118,513,495,386,374,778,287,894,256,641,063,412,094,152,979,544,
971,351,222,768,863,977,546,476,490,549,178,156,696,246,388,643,871,140,600,
297,802,549,082,724,294,483,015,990,255,956,118,268,780,460,006,400,066,261,
019,026,576,741,115,963,578,194,780,440,702,528,856,610,254,963,114,156,003,
670,921,626,744,430,441,609,145,635,280,199,625,518,735,395,692,160,388,769,
318,538,690,275,090,605,604,683,750,365,120,625,019,289,338,669,940,699,861,
034,543,815,772,150,481,909,293,838,663,921,912,651,783,010,662,440,237,357,
015,714,904,873,401,574,468,439,708,063,137,410,298,207,205,081,007,964,820,
406,248,105,401,903,734,752,149,471,594,002,373,625,808,677,532,680,259,267,
232,470,807,155,603,492,534,514,779,838,282,032,565,650,429,597,487,137,628,
836,248,164,821,552,170,086,906,591,296,781,155,233,737,528,849,171,025,570,
860,247,752,650,703,364,872,929,537,906,107,388,909,708,177,721,325,761,511,
122,643,629,547,551,363,407,223,481,975,818,983,784,724,962,163,692,643,396,
896,257,086,672,628,437,339,276,166,899,388,481,457,892,368,668,925,506,713,
044,386,784,629,218,509,619,815,950,277,845,951,694,320,778,586,084,211,640,
429,625,504,031,475,956,619,035,009,522,076,295,210,283,065,247,259,414,879,
165,563,324,498,799,869,084,576,800,060,491,037,724,075,884,552,201,411,854,
471,716,661,474,082,376,416,598,726,130,007,994,697,772,003,184,844,334,432,
032,444,947,179,909,633,758,465,382,247,419,870,490,287,245,698,869,989,240,
998,811,720,914,182,763,919,886,428,097,051,475,952,467,591,806,045,275,295,
958,454,201,931,151,964,249,582,333,266,124,595,256,374,056,258,659,917,710,
175,264,714,540,886,479,136,491,086,194,142,264,314,953,511,094,943,865,087,
179,588,852,054,054,687,798,844,278,358,972,917,164,445,449,832,697,570,848,
464,139,355,800,722,462,124,150,684,746,466,002,517,387,614,509,420,504,849,
451,174,958,327,642,657,330,169,967,784,128,686,020,930,446,428,393,312,610,
361,011,626,543,829,532,529,172,269,170,813,144,906,578,650,276,476,959,185,
947,557,680,056,767,138,001,836,509,858,813,624,559,180,741,246,324,470,601,
628,409,685,753,863,109,625,512,341,024,352,808,985,917,147,732,672,568,165,
944,158,776,500,831,684,664,722,762,357,641,788,296,011,454,021,817,887,878,
854,271,711,883,018,311,243,068,286,872,069,049,752,533,226,310,029,173,461,
176,100,116,689,846,973,025,716,160,134,639,425,809,278,403,341,375,580,803,
797,109,471,199,990,263,541,147,339,031,797,809,951,657,367,474,281,408,632,
359,174,343,952,320,540,623,365,864,163,675,440,950,395,054,854,235,601,751,
022,577,908,101,870,685,082,223,377,848,360,745,120,412,105,767,640,572,448,
802,466,101,915,283,534,656,489,207,917,540,885,455,768,361,400,231,033,253,
584,892,951,840,991,090,558,951,366,128,919,039,048,737,271,815,594,833,171,
204,009,323,423,220,967,612,983,538,515,046,026,029,078,752,446,464,425,437,
534,096,662,151,432,804,086,353,802,115,289,790,321,325,084,906,553,049,321,
961,387,950,644,351,591,845,583,315,071,262,342,564,726,944,403,895,237,013,
334,386,559,590,936,601,881,021,492,086,996,777,260,523,751,561,344,916,314,
950,865,915,509,398,735,457,504,528,808,829,204,145,790,479,879,442,187,975,
573,588,460,400,648,000,265,492,573,897,978,534,579,361,629,414,010,676,939,
995,723,414,557,294,077,324,873,588,380,644,157,551,395,570,538,561,197,216,
054,377,325,406,911,521,023,595,338,694,992,506,435,510,103,064,740,568,466,
195,633,470,694,850,524,992,539,227,779,396,454,861,786,650,029,224,464,543,
058,354,880,880,465,766,763,442,046,135,136,510,792,030,918,933,353,945,660,
430,815,670,823,563,712,545,094,423,208,909,114,537,462,874,861,292,360,748,
684,085,192,372,174,217,764,790,225,999,868,701,069,216,312,243,091,780,631,
466,089,541,543,060,130,289,181,465,730,618,942,035,291,943,706,495,468,035,
502,942,902,007,343,481,275,097,874,493,058,357,896,047,102,034,898,006,129,
669,871,305,151,611,503,663,069,775,777,328,651,948,607,139,097,115,992,157,
225,749,779,031,861,543,125,714,078,323,306,076,249,752,164,670,717,787,034,
018,734,165,751,464,695,273,886,439,718,989,659,662,347,769,862,721,220,587,
621,584,592,121,585,225,922,652,527,775,556,745,963,621,309,754,076,391,581,
663,949,446,845,286,332,706,074,385,819,113,759,262,073,925,766,991,271,434,
724,947,217,263,104,455,970,086,761,760,797,378,255,403,473,687,395,503,608,
866,062,813,809,365,855,302,942,316,633,082,402,292,369,879,658,425,045,292,
800,231,669,490,539,532,516,107,529,179,653,738,845,609,195,559,448,509,804,
412,514,904,652,095,978,181,201,059,088,212,773,926,713,331,887,147,164,026,
344,364,373,992,147,606,998,517,717,626,626,477,754,655,260,551,482,653,685,
479,913,443,832,935,891,925,432,756,559,412,808,581,936,892,758,528,728,004,
101,765,565,319,908,958,179,673,280,495,180,712,314,497,742,033,807,719,653,
184,447,737,762,689,210,464,746,660,225,648,579,422,268,685,182,710,232,896,
819,149,230,272,446,423,147,220,202,279,275,814,379,450,545,760,799,508,946,
653,226,601,461,246,139,742,013,256,206,308,772,322,091,261,034,333,605,642,
506,465,632,675,950,502,201,805,721,069,024,633,453,931,561,267,408,044,982,
934,587,900,452,842,235,695,479,217,903,483,918,895,753,340,620,460,927,608,
440,625,493,701,261,004,356,220,314,134,948,752,633,372,160,637,372,534,220,
525,466,102,507,556,259,865,725,249,699,606,585,619,395,487,870,634,733,076,
252,148,610,433,711,040,519,563,572,026,707,011,698,668,093,065,709,472,401,
707,976,493,331,607,344,395,875,795,616,475,418,200,399,960,402,162,208,203,
161,988,663,585,567,681,521,997,886,742,006,157,636,438,037,026,447,403,521,
839,621,809,194,127,476,046,478,725,997,041,234,233,234,016,715,440,107,283,
175,899,894,747,846,008,066,424,615,906,278,398,618,940,705,272,083,774,366,
465,558,903,420,946,553,652,095,782,296,563,694,899,594,375,750,257,232,486,
606,111,961,933,409,203,409,870,501,286,645,129,062,101,065,405,114,922,609,
228,454,591,420,873,408,023,921,443,601,123,189,667,690,610,060,535,683,748,
625,674,984,725,037,134,192,784,327,867,234,908,469,078,004,561,932,392,456,
357,671,408,106,023,334,151,219,438,640,837,794,015,562,827,252,083,212,342,
832,937,023,220,656,937,715,678,372,133,103,195,301,298,560,434,735,664,467,
844,122,403,939,408,766,918,209,771,959,479,297,963,733,512,028,682,276,336,
871,687,194,980,175,826,760,097,435,472,724,915,545,888,788,460,928,378,554,
247,796,498,025,500,009,306,835,613,495,156,715,063,654,176,303,624,527,304,
754,867,839,823,090,290,350,422,016,099,375,764,877,214,242,562,752,073,223,
506,098,086,840,196,693,461,163,306,073,589,224,523,596,547,150,078,928,382,
487,661,578,646,689,915,700,496,608,015,073,634,305,874,515,345,912,777,759,
797,400,228,350,982,047,158,434,881,407,424,897,919,367,394,160,287,207,969,
053,524,653,026,939,639,592,142,549,098,542,516,498,457,999,679,477,914,579,
747,812,440,539,756,735,898,216,654,955,459,774,720,337,243,335,607,406,291,
286,656,592,267,915,805,680,636,471,158,801,544,867,630,057,109,636,560,548,
122,986,250,242,407,525,696,904,543,955,819,956,779,128,656,761,227,528,940,
186,611,816,561,295,750,459,070,008,963,905,163,291,674,722,043,238,239,484,
000,339,378,334,384,574,184,630,114,513,072,593,519,229,483,506,238,106,278,
628,018,585,490,750,206,329,323,729,915,171,709,447,477,604,667,225,966,199,
480,211,911,865,241,426,557,898,619,118,374,634,438,001,014,235,637,348,356,
957,733,289,714,734,020,668,959,851,141,530,519,755,323,385,341,019,436,797,
318,501,330,393,836,789,909,132,528,872,416,513,178,381,468,503,664,917,095,
276,823,971,122,605,741,510,538,857,902,593,530,873,430,108,963,391,372,488,
909,806,215,141,017,938,208,631,575,792,247,000,049,374,906,234,563,318,271,
610,402,157,584,796,669,987,280,514,843,116,788,696,665,219,344,639,996,065,
762,462,656,502,021,612,207,985,229,067,507,281,880,842,989,127,575,755,536,
311,684,329,002,677,490,715,899,183,533,682,600,213,474,182,609,110,650,034,
802,014,459,932,256,590,147,662,604,235,847,272,076,684,870,689,135,236,135,
917,271,645,229,062,008,752,653,262,604,089,357,433,538,594,845,954,904,988,
817,796,571,908,255,991,942,015,123,018,714,735,314,488,136,346,579,062,517,
518,544,839,099,122,172,425,878,323,544,171,917,879,951,937,154,083,927,514,
263,530,710,535,175,780,510,622,272,877,996,355,621,427,124,815,950,200,250,
510,193,113,309,284,941,917,504,239,416,042,190,449,527,700,559,470,986,163,
123,316,022,832,178,411,475,707,723,530,202,208,521,775,041,537,247,569,810,
104,339,203,849,045,080,706,097,833,486,881,134,938,955,015,854,550,003,078,
290,971,092,405,936,988,543,084,698,791,899,732,138,795,985,907,728,967,208,
439,651,379,982,392,877,805,410,492,296,916,916,331,904,128,649,612,635,786,
881,739,529,234,487,603,312,827,801,434,094,430,267,247,043,949,591,084,705,
579,069,368,938,877,898,533,177,146,013,212,407,986,293,244,500,633,912,513,
445,896,543,073,189,871,786,935,648,162,202,680,465,747,671,219,713,224,197,
100,833,434,615,219,507,331,084,098,767,392,012,216,728,082,222,657,122,766,
663,713,750,078,024,024,320,323,722,948,611,358,013,372,994,548,998,048,324,
856,993,274,262,085,171,562,347,866,289,380,990,840,189,610,592,151,440,144,
880,674,037,076,005,338,964,395,291,771,275,341,377,400,230,441,545,916,411,
604,219,449,525,059,258,878,031,536,834,220,475,364,553,418,692,863,867,738,
133,477,464,205,893,345,266,289,443,845,094,733,724,906,525,272,838,209,172,
210,313,386,447,255,576,635,930,859,626,771,939,402,468,559,988,324,848,629,
566,160,409,597,443,236,686,009,700,501,191,856,611,948,937,771,299,125,095,
305,839,531,661,668,969,396,956,727,766,954,903,669,294,255,466,380,281,834,
145,573,132,046,123,281,723,317,804,850,469,769,752,513,111,802,050,974,849,
627,533,794,633,706,557,591,031,062,360,196,827,910,015,062,872,037,749,322,
114,652,905,345,932,178,304,623,034,589,803,677,452,858,696,463,042,104,143,
029,722,597,827,026,521,413,753,987,262,314,652,781,828,657,264,792,786,040,
894,238,957,207,526,140,282,818,806,662,930,160,429,289,644,558,356,636,231,
065,567,873,989,298,448,905,631,991,531,917,216,932,821,218,499,646,479,326,
623,272,755,250,155,673,186,615,584,135,490,818,272,664,913,372,055,817,359,
990,175,115,500,796,940,191,531,103,049,218,148,016,717,845,467,971,679,807,
573,984,674,140,091,881,633,541,961,220,421,656,165,104,840,568,138,768,201,
659,223,332,947,083,407,130,296,255,840,865,442,699,518,815,518,056,292,782,
502,936,674,368,853,828,718,895,708,315,869,255,808,293,525,287,310,813,697,
367,893,812,184,580,064,179,414,915,011,790,403,192,488,675,037,719,785,308,
340,518,167,035,455,889,925,678,630,793,657,701,718,670,672,243,062,281,660,
839,756,205,562,468,771,140,004,746,679,996,725,721,394,512,142,232,301,013,
592,667,545,426,065,095,548,086,338,005,996,627,548,204,102,548,723,576,627,
780,451,206,497,117,832,314,034,849,097,563,393,847,735,316,442,039,072,795,
373,652,922,998,829,648,286,565,342,213,728,772,397,234,792,813,827,499,450,
703,388,028,088,684,380,326,441,892,328,365,839,088,769,790,402,797,609,646,
086,249,252,598,328,718,554,466,752,723,381,808,921,192,615,431,847,773,351,
943,441,492,720,640,511,131,922,532,740,744,727,311,408,338,263,965,685,285,
824,565,079,465,336,067,232,051,140,778,376,636,387,825,649,054,341,914,478,
190,470,406,561,297,142,351,746,263,485,901,591,979,536,788,305,901,478,523,
099,585,438,856,799,232,818,615,169,626,192,221,072,872,118,128,862,570,280,
304,772,901,030,681,536,362,023,053,841,976,976,056,558,190,821,829,766,989,
215,665,646,987,595,891,477,671,482,952,023,855,395,976,057,296,771,062,191,
798,146,086,782,229,709,050,299,904,712,197,122,551,162,036,217,340,095,492,
154,616,976,766,653,634,619,564,692,846,194,611,772,045,905,076,023,449,961,
910,572,991,006,386,261,248,535,633,387,477,683,716,611,103,200,994,358,289,
060,348,980,785,496,427,958,979,091,780,977,578,410,806,040,828,115,536,129,
291,644,277,195,505,832,892,904,107,649,696,291,675,303,009,619,879,778,321,
239,833,373,201,126,447,325,376,728,318,062,301,120,235,072,377,895,387,491,
605,528,487,471,879,522,769,626,038,314,991,577,840,002,029,213,391,158,317,
305,218,169,385,659,524,200,634,208,426,107,738,744,321,034,240,176,174,146,
144,268,432,750,597,311,311,326,664,206,219,610,717,063,512,603,256,958,858,
697,458,992,399,112,268,281,613,065,769,024,025,125,607,236,659,551,723,913,
140,255,875,430,017,313,711,606,262,169,863,261,915,975,646,310,537,030,071,
252,660,851,210,780,166,173,905,550,184,830,210,592,150,237,365,681,035,126,
151,287,824,235,831,715,022,135,985,986,708,745,636,349,387,452,439,730,339,
972,582,073,468,533,111,122,910,666,308,760,466,091,772,404,335,590,736,071,
846,469,927,168,540,120,397,477,526,392,625,763,595,218,915,070,721,127,958,
725,897,086,216,788,517,941,741,218,136,317,593,647,231,700,885,939,121,642,
973,522,936,041,745,174,709,152,255,177,907,929,597,892,823,717,952,057,961,
276,811,829,137,778,473,218,790,393,712,675,550,048,517,515,224,335,793,295,
469,682,302,838,993,439,160,974,326,932,588,226,937,619,802,547,619,591,214,
471,198,963,480,033,554,612,251,449,434,398,881,710,554,128,789,567,203,488,
850,503,468,002,731,879,025,440,442,409,590,105,177,373,150,579,606,759,723,
123,131,027,703,022,505,946,328,327,571,152,571,128,568,774,012,659,122,411,
912,200,936,194,371,761,948,084,444,027,727,207,976,772,118,745,319,062,950,
951,536,720,734,407,324,160,923,303,552,296,452,784,754,062,778,924,087,526,
031,639,306,462,612,126,213,097,276,829,441,872,175,972,106,057,963,327,866,
441,403,413,958,468,896,262,273,157,166,949,221,009,043,338,649,062,413,045,
059,870,950,583,937,262,147,092,330,484,171,701,236,175,307,018,167,542,074,
465,023,729,357,979,065,243,833,084,284,588,082,673,742,063,175,906,082,022,
139,729,556,718,318,223,958,014,002,771,077,211,794,769,330,107,197,690,363,
645,082,970,255,226,917,534,639,659,143,588,895,470,351,386,241,741,115,983,
396,284,662,460,497,336,414,483,135,181,987,702,718,786,320,921,779,156,727,
460,249,275,254,377,548,524,143,736,310,239,561,508,388,828,045,093,901,682,
349,789,208,501,050,006,146,645,582,766,283,178,591,043,726,402,452,308,242,
972,102,311,429,188,298,962,442,849,484,869,278,150,167,611,533,368,734,111,
722,791,916,879,057,149,328,418,183,131,720,896,396,024,578,497,909,766,246,
488,993,420,220,738,812,797,870,834,318,358,822,961,516,866,196,031,572,337,
003,157,029,370,173,147,243,964,214,392,981,521,707,713,517,019,239,229,630,
071,104,758,351,464,218,486,526,475,725,092,628,530,457,791,256,386,668,431,
038,500,346,984,618,393,668,029,664,681,899,872,751,386,479,620,262,667,445,
668,826,603,306,911,420,826,543,348,958,799,326,257,991,235,013,896,541,448,
394,492,575,932,274,141,169,526,081,997,394,382,110,159,205,228,207,545,204,
700,751,045,049,230,492,596,660,386,846,872,201,537,267,104,234,195,518,147,
285,385,091,175,744,866,776,620,636,057,890,081,068,908,406,973,094,716,324,
941,011,745,872,851,688,168,307,914,018,021,854,220,703,462,049,889,379,766,
170,576,203,617,259,389,813,146,168,508,392,568,942,752,435,208,235,956,750,
751,450,965,517,389,845,109,128,508,816,084,546,397,306,166,550,416,303,161,
392,721,638,058,319,443,403,917,060,208,181,193,847,144,192,222,184,773,514,
541,551,781,887,377,264,073,428,660,126,490,450,507,511,362,960,034,868,993,
021,155,780,887,033,467,190,936,125,898,946,827,714,716,975,040,911,264,414,
698,703,311,308,110,898,359,116,784,530,659,501,893,994,486,204,010,738,708,
649,948,546,273,494,904,813,281,996,914,988,806,877,638,444,329,462,548,802,
961,387,488,612,855,997,118,110,602,028,238,638,112,548,809,923,043,369,954,
440,483,945,358,987,460,113,756,528,203,734,688,143,826,413,631,792,721,707,
718,062,708,359,637,634,769,507,499,348,155,545,538,990,757,839,580,879,590,
592,219,395,797,488,490,713,201,817,952,782,627,854,670,143,240,030,132,020,
694,566,265,029,100,242,887,008,676,880,658,340,592,256,759,867,841,441,852,
223,437,146,582,113,156,745,282,357,808,074,617,727,438,002,309,545,795,353,
192,107,201,902,722,761,544,079,906,783,641,026,259,173,325,160,659,196,345,
841,344,279,097,910,397,001,992,762,654,211,163,975,008,517,848,610,046,981,
297,236,649,838,391,537,996,505,576,596,429,830,593,616,177,168,821,168,008,
224,432,661,441,838,207,849,227,848,673,809,109,471,625,578,597,039,683,954,
807,879,853,760,080,063,992,162,586,162,176,092,357,826,822,399,666,112,328,
573,815,019,567,949,783,906,108,284,726,918,302,727,334,360,240,282,096,353,
706,229,047,730,245,252,397,681,472,793,147,051,213,097,017,834,977,678,371,
435,715,312,612,577,382,437,783,163,940,462,769,750,990,021,496,779,648,975,
280,567,508,338,359,169,965,271,609,243,267,554,370,145,644,652,907,368,151,
686,340,520,294,297,492,342,974,797,258,908,415,563,956,907,208,810,295,342,
676,613,377,871,031,870,760,507,367,951,013,675,025,257,001,671,818,165,261,
102,242,092,916,575,432,545,483,354,947,903,595,599,854,639,031,989,237,150,
479,521,358,403,863,181,897,740,883,240,490,973,858,494,498,521,925,331,665,
944,651,861,253,853,254,744,123,514,245,649,017,517,779,773,872,206,248,479,
157,926,541,884,677,379,734,764,864,975,202,160,378,583,082,542,927,758,008,
097,208,759,308,136,875,895,045,636,627,556,626,703,559,491,609,117,569,588,
707,532,479,728,402,952,982,879,982,256,863,015,065,666,381,783,739,114,850,
344,006,294,410,830,872,503,498,782,959,384,316,435,275,372,364,063,426,961,
593,213,753,363,626,779,665,117,072,481,440,186,789,692,188,364,776,826,447,
595,950,678,409,221,481,169,618,523,523,330,313,625,391,516,821,736,985,409,
512,687,731,171,690,032,593,112,651,007,819,394,443,234,593,099,618,415,507,
469,337,351,355,166,618,469,285,701,596,231,818,499,712,105,025,553,056,344,
226,495,671,662,932,655,871,295,181,355,149,053,115,952,699,350,117,872,409,
014,228,419,868,428,258,570,667,958,354,448,450,082,802,352,298,246,269,778,
623,434,846,518,990,827,924,569,788,152,552,486,411,970,039,391,342,763,738,
914,598,302,186,668,136,914,228,158,252,496,671,956,170,745,738,090,192,541,
312,602,716,702,500,941,097,689,930,337,438,567,973,650,142,464,094,716,934,
236,656,441,159,226,493,986,006,261,414,781,229,094,627,430,278,208,790,752,
914,621,276,691,338,824,756,412,868,437,150,175,824,462,167,664,623,805,484,
410,373,299,625,657,008,862,866,326,035,619,351,716,021,936,449,248,809,104,
341,727,825,695,528,258,904,001,440,089,329,687,156,903,208,485,013,689,073,
088,643,030,752,919,011,329,180,509,552,002,897,541,771,811,235,419,353,668,
862,244,331,618,826,119,929,417,991,090,095,990,286,044,243,667,488,465,217,
738,957,994,527,537,991,011,590,952,369,468,639,950,956,217,664,976,309,925,
444,286,646,080,339,043,130,862,356,570,630,182,620,171,832,414,447,601,013,
955,490,396,267,195,862,241,557,198,253,933,193,363,575,545,992,287,942,103,
035,451,600,211,341,939,164,794,817,613,614,630,164,322,758,012,770,411,184,
407,664,378,460,340,843,579,895,287,951,000,723,621,935,469,660,947,078,449,
708,674,326,297,585,731,037,051,735,611,586,887,215,438,871,259,083,159,383,
935,437,122,966,580,105,104,403,969,250,085,201,609,648,892,820,094,142,914,
455,708,692,943,731,679,347,868,464,797,503,208,385,226,624,240,817,150,894,
106,077,294,245,178,382,254,067,277,385,638,039,448,145,400,862,463,016,594,
488,719,396,226,060,701,241,283,956,658,919,286,432,696,211,866,068,268,714,
037,758,743,642,907,362,071,914,799,455,864,220,312,768,966,921,823,573,460,
993,604,810,809,333,516,866,885,907,673,056,634,088,472,499,889,347,478,285,
509,991,944,135,529,517,175,071,479,232,139,447,481,546,174,171,234,060,338,
863,719,878,038,632,176,429,964,979,071,592,629,558,905,164,993,858,587,349,
510,524,608,272,992,117,806,791,470,388,365,464,103,170,032,149,844,052,806,
450,881,846,186,578,379,639,132,230,320,044,289,074,857,705,879,074,592,873,
824,499,000,533,319,442,399,235,637,157,278,102,362,155,990,075,298,088,684,
086,862,945,390,372,437,886,183,425,683,790,624,460,872,288,258,703,274,771,
340,180,980,361,146,059,112,440,412,941,691,209,569,868,128,654,069,081,522,
037,352,049,699,693,908,746,033,343,609,638,337,025,666,977,280,289,446,312,
162,553,267,334,931,449,042,099,050,206,372,931,629,406,857,637,092,094,884,
326,382,697,808,392,843,040,640,305,105,339,872,431,515,435,011,173,841,452,
247,469,138,571,589,336,469,447,569,706,621,509,379,151,768,440,978,340,269,
652,788,069,255,071,662,134,687,026,100,217,794,082,384,415,254,019,988,063,
995,491,137,983,332,530,102,143,917,696,953,721,054,953,495,547,304,211,023,
014,703,920,558,060,873,033,951,822,829,565,830,056,156,206,992,089,843,486,
879,578,293,926,736,566,002,152,268,023,617,158,863,997,659,123,541,253,135,
390,969,393,178,661,109,117,117,429,983,267,119,939,679,837,454,687,771,126,
533,110,499,718,727,420,802,733,203,110,665,725,486,666,621,575,655,369,346,
613,023,220,728,537,398,926,603,214,670,145,435,753,355,144,258,433,441,328,
207,392,576,588,401,793,452,453,670,515,496,308,382,729,636,491,837,405,812,
812,048,416,785,287,286,203,214,605,288,793,406,272,569,880,192,205,527,456,
274,020,163,337,779,392,466,739,273,277,307,635,103,556,156,983,192,270,183,
396,599,569,633,091,991,669,317,683,735,967,431,553,767,906,043,379,066,189,
023,607,457,212,236,355,192,367,470,149,038,793,419,482,473,834,473,237,165,
323,925,657,857,795,699,820,262,600,524,476,866,797,891,630,469,355,654,830,
815,755,557,770,120,590,106,283,357,059,523,986,082,316,446,024,557,427,041,
753,727,778,574,650,928,934,411,689,653,964,632,168,750,111,128,778,773,553,
037,974,613,658,743,289,875,021,044,673,591,417,454,853,174,961,722,613,762,
236,558,282,172,788,938,386,383,284,012,425,152,030,486,784,774,804,718,601,
232,228,816,105,652,534,365,549,489,384,823,386,552,179,573,161,136,833,308,
523,429,428,041,658,949,192,441,425,487,410,557,105,112,071,087,738,511,603,
942,280,993,337,183,730,876,923,241,246,770,928,202,936,516,833,757,715,514,
794,959,247,568,982,693,506,518,689,681,272,013,916,299,774,412,984,581,513,
483,916,377,568,741,858,627,238,671,187,231,569,502,735,543,073,274,166,795,
507,377,138,551,129,866,376,579,739,426,137,551,804,538,445,848,477,666,243,
255,281,319,472,005,372,811,135,178,775,426,137,857,782,928,580,085,401,517,
493,129,944,841,894,391,685,510,518,780,803,755,947,259,537,109,989,359,628,
710,029,927,486,343,311,690,440,805,407,584,490,463,009,399,004,253,117,077,
024,496,479,105,608,875,002,565,189,765,962,809,018,139,552,928,126,705,018,
883,785,729,621,490,661,391,476,553,159,792,755,010,546,477,707,239,494,996,
007,590,977,670,393,142,003,589,110,618,435,685,421,734,183,683,664,222,480,
086,097,966,218,156,073,739,940,820,328,199,865,795,255,508,484,991,822,498,
925,236,140,896,964,295,423,032,812,996,313,562,216,566,796,078,277,265,969,
336,445,661,979,369,516,948,128,433,102,396,532,355,100,355,912,005,991,532,
388,532,270,776,356,211,859,574,862,578,727,218,467,567,133,820,244,242,147,
675,127,409,398,044,902,901,555,620,200,273,707,857,209,834,547,401,606,757,
068,241,316,197,267,175,743,401,541,517,148,309,803,521,860,087,332,042,294,
919,079,760,172,746,342,088,558,320,435,367,173,218,162,086,926,207,313,526,
185,293,376,830,816,711,725,926,350,159,843,281,833,874,631,647,037,478,025,
048,825,398,942,025,829,737,850,501,528,156,423,269,299,011,579,668,060,725,
486,563,128,340,006,534,144,263,470,437,031,392,669,857,631,417,863,747,616,
432,231,109,903,989,738,774,757,165,840,639,591,926,566,773,515,888,366,866,
707,611,415,941,565,770,896,804,023,695,425,685,899,713,920,724,949,103,074,
820,103,208,190,388,757,664,923,538,555,805,972,098,870,627,930,404,469,664,
469,662,555,975,360,539,333,736,367,769,151,410,231,399,956,976,460,047,746,
829,445,276,056,560,720,818,298,876,762,796,983,911,644,607,199,637,840,012,
772,650,118,864,299,903,666,879,778,043,341,345,830,290,434,870,703,282,104,
266,688,899,772,601,194,547,876,110,787,783,009,638,667,930,070,201,812,484,
997,683,207,550,091,394,205,374,483,179,342,124,166,089,101,945,120,086,132,
279,328,070,134,870,908,370,420,085,466,277,498,404,425,685,899,730,818,803,
861,649,253,354,507,480,547,692,532,365,794,359,105,379,806,130,615,035,810,
186,345,236,309,797,885,949,805,351,793,575,185,812,595,908,991,018,605,284,
987,410,908,717,571,303,493,714,709,422,464,725,913,112,451,848,416,565,495,
328,566,145,938,964,535,253,646,801,787,561,812,092,056,818,652,492,109,433,
866,713,711,374,485,466,056,542,058,799,657,286,331,979,564,925,080,865,943,
150,139,832,395,110,106,824,091,272,900,242,942,187,623,284,495,431,703,789,
808,375,249,611,111,287,165,655,273,474,982,719,722,600,757,095,718,412,653,
892,940,723,502,609,961,014,724,813,475,549,430,804,056,332,196,139,383,259,
265,352,148,892,508,159,586,884,397,742,467,729,087,298,818,538,258,443,371,
239,523,227,910,293,164,498,131,084,972,448,668,538,587,574,378,475,052,717,
332,491,336,444,332,700,949,854,853,099,300,796,244,692,848,930,802,404,291,
084,993,919,133,202,398,756,214,759,314,498,622,642,056,165,452,419,206,004,
131,722,953,600,948,768,217,528,278,896,199,313,999,710,574,039,128,543,701,
153,487,190,798,723,193,958,542,494,647,363,736,479,330,000,388,773,092,156,
890,473,236,392,383,816,510,981,568,303,709,858,725,836,897,187,929,691,222,
914,263,510,848,388,937,407,142,847,381,372,794,811,592,354,979,891,647,837,
983,067,957,340,314,259,234,525,466,423,954,310,557,290,098,374,179,292,332,
004,902,532,328,904,840,546,007,186,295,125,986,637,784,147,028,583,910,971,
062,705,168,033,506,658,251,884,476,900,323,968,260,589,462,135,179,756,191,
293,528,580,522,570,918,669,641,988,048,870,774,256,684,505,703,153,233,351,
031,645,610,144,623,483,680,377,962,739,896,952,377,325,364,290,414,820,703,
071,621,077,119,600,922,064,492,295,064,469,831,591,634,082,321,060,056,933,
827,211,909,143,871,946,862,263,644,906,104,614,370,377,321,802,983,916,052,
667,166,666,626,222,269,285,003,732,902,354,600,918,065,537,422,465,136,392,
704,453,876,335,720,776,245,837,273,176,374,787,429,674,487,854,394,414,672,
459,935,639,922,312,018,075,641,072,469,994,723,276,851,051,585,086,121,058,
925,247,800,649,982,232,949,729,322,752,031,649,961,985,604,788,436,386,625,
404,398,085,091,184,425,637,109,519,517,077,982,421,620,298,892,132,000,346,
314,406,545,946,251,579,429,888,046,102,173,993,056,300,045,479,687,568,128,
271,144,245,305,619,615,599,686,799,124,203,245,692,296,455,575,070,267,395,
194,217,368,697,057,517,510,045,044,119,021,691,859,866,388,810,069,174,343,
519,466,981,918,348,925,848,219,923,613,480,441,538,240,632,531,201,489,153,
957,756,581,262,499,599,169,171,807,657,706,781,477,081,276,831,138,735,591,
712,812,541,655,183,103,026,580,942,027,981,335,478,977,738,503,850,384,137,
523,392,834,523,847,951,647,393,631,833,756,873,850,502,682,242,287,128,176,
074,565,882,816,309,413,676,618,966,921,693,399,836,163,663,012,530,472,838,
245,551,594,739,764,956,589,043,005,126,035,093,204,680,054,936,402,281,579,
437,758,114,092,633,616,139,461,587,412,272,398,438,026,602,299,635,594,073,
170,952,007,404,666,347,053,221,500,159,491,500,391,587,529,584,228,174,581,
349,792,183,073,564,407,241,666,642,891,692,786,519,934,787,534,390,221,973,
889,386,089,531,085,640,814,232,084,495,381,790,474,282,754,270,770,004,563,
950,934,065,834,407,518,003,079,941,888,129,030,468,415,032,354,536,302,550,
738,242,768,607,725,680,698,540,758,911,275,307,641,695,364,003,646,397,168,
289,831,584,684,932,895,464,233,065,931,783,456,403,343,478,168,980,230,677,
668,371,106,209,512,653,077,960,085,179,912,933,470,459,242,502,066,022,215,
625,977,869,424,282,858,919,795,123,939,772,627,131,630,956,503,036,610,440,
983,787,716,686,489,577,682,515,096,194,809,586,101,040,553,186,664,014,298,
338,822,576,427,461,090,455,864,566,421,105,206,062,876,555,266,668,178,148,
057,868,493,713,023,332,401,921,772,206,450,644,273,129,208,081,256,916,753,
275,317,258,270,354,472,365,318,673,390,827,040,693,380,867,272,992,321,405,
351,739,710,334,111,582,239,535,126,152,841,485,435,986,281,285,284,468,845,
462,918,521,097,907,086,176,277,451,541,641,363,275,554,911,476,793,844,518,
721,348,806,817,070,099,561,387,555,773,767,633,756,184,068,326,802,976,799,
610,853,999,159,752,536,317,558,165,972,048,534,792,336,357,383,475,545,618,
464,437,347,894,760,351,948,941,251,186,108,231,956,606,610,979,350,791,309,
591,123,277,792,814,538,579,514,691,832,227,896,920,408,630,459,537,683,772,
682,275,204,499,436,941,378,585,848,851,886,654,147,313,274,984,285,057,516,
603,583,774,405,574,203,938,378,689,380,435,708,414,345,857,128,697,579,238,
136,003,481,048,151,155,153,441,241,225,008,340,555,154,542,922,513,177,436,
502,936,740,501,912,978,483,178,665,677,228,493,459,716,761,816,835,570,037,
764,270,796,171,653,803,795,454,564,889,672,623,881,467,560,484,887,937,321,
507,677,160,790,852,960,457,214,013,212,978,307,368,232,744,828,946,709,878,
562,871,612,585,408,374,285,231,553,511,225,606,058,311,838,373,160,599,074,
584,904,676,576,849,643,041,872,697,508,352,311,925,091,163,799,301,368,012,
056,037,526,791,507,433,630,314,452,894,328,312,310,192,825,204,601,025,863,
911,226,741,739,272,270,897,062,161,309,280,369,650,568,734,221,535,001,561,
163,777,576,304,226,627,066,768,708,174,389,464,777,355,129,027,431,376,015,
767,237,507,821,209,275,203,411,910,999,342,643,808,340,839,988,988,630,730,
653,106,230,402,640,812,335,671,329,281,657,703,404,002,945,539,699,507,208,
902,986,024,819,178,689,664,528,447,626,562,079,392,785,028,262,620,932,645,
226,535,564,327,921,530,611,286,968,844,673,034,609,059,020,709,453,268,034,
865,598,024,043,485,563,796,246,500,596,034,225,858,723,801,394,959,577,330,
932,826,295,512,253,487,284,237,908,434,513,467,812,290,439,331,088,324,641,
550,129,823,306,018,080,117,143,401,168,775,309,334,484,521,569,345,368,362,
107,938,762,807,116,361,292,015,008,160,309,298,280,359,000,962,994,280,226,
191,464,804,116,888,831,336,839,473,218,455,136,743,198,808,027,149,978,056,
213,154,197,805,706,352,726,580,114,134,569,971,977,331,229,790,600,993,708,
092,168,955,820,347,076,554,985,500,079,842,736,835,312,973,195,766,303,819,
305,740,814,889,674,045,302,135,376,883,050,468,254,352,938,108,363,493,998,
587,922,943,293,536,375,188,385,320,915,791,620,080,746,949,262,846,115,096,
365,261,906,250,785,408,932,493,761,855,161,620,357,885,133,012,658,288,953,
382,302,749,372,475,153,244,094,870,023,820,891,265,371,599,516,620,921,417,
306,165,295,736,917,803,888,765,066,906,606,509,402,459,621,808,694,655,820,
572,312,538,839,736,775,974,052,792,086,902,650,136,638,834,593,789,372,485,
575,113,821,970,826,532,069,383,721,157,587,609,348,960,960,148,721,338,458,
627,986,961,409,389,511,750,312,772,642,074,993,407,803,376,915,808,070,605,
343,634,451,951,243,962,620,104,097,357,197,491,402,237,699,534,046,110,080,
162,548,714,278,635,343,342,687,084,455,111,207,897,009,280,983,826,496,237,
703,092,397,369,583,004,576,164,621,970,556,267,625,311,672,601,237,147,000,
732,945,405,580,007,069,076,893,016,715,919,947,429,108,697,986,290,856,350,
287,236,788,576,704,988,230,503,746,426,960,333,029,347,299,744,792,687,592,
850,520,799,095,233,623,130,568,591,284,967,862,095,712,011,975,495,535,126,
048,049,007,006,333,373,999,701,031,303,448,901,964,110,195,805,956,769,406,
617,217,867,830,272,352,903,125,604,582,022,164,565,926,326,367,398,694,698,
987,774,836,895,378,467,021,224,726,176,518,911,406,787,869,002,858,164,332,
050,506,896,770,875,340,786,461,891,837,255,530,826,677,285,693,301,059,739,
026,033,156,808,131,310,227,420,251,413,920,121,436,869,216,758,336,595,244,
246,756,393,943,661,086,874,244,423,935,355,754,968,727,675,637,229,148,535,
358,901,485,513,861,867,066,156,396,487,011,786,663,475,990,061,619,760,620,
539,150,790,725,437,258,835,651,211,395,561,032,335,073,291,997,370,056,547,
705,172,580,306,671,030,765,493,478,378,076,234,081,305,648,098,158,777,532,
546,562,654,997,422,214,188,650,886,225,945,321,146,330,336,654,535,374,039,
067,184,741,399,720,392,605,817,494,622,457,493,617,695,900,787,390,191,043,
388,688,800,303,535,651,370,307,754,796,576,074,588,016,686,175,162,607,407,
255,118,011,037,422,711,886,107,358,155,770,783,373,875,270,290,529,304,179,
076,020,978,534,845,506,120,094,029,987,721,508,388,325,795,677,513,557,316,
237,306,073,692,256,292,787,482,064,263,154,802,445,766,960,273,234,221,757,
673,198,212,217,701,160,168,878,765,249,695,963,029,042,502,552,045,495,913,
984,143,420,650,889,771,557,262,596,052,145,921,222,197,871,053,319,692,329,
504,228,147,433,709,594,705,596,198,162,531,325,394,053,611,867,953,718,320,
993,653,447,304,580,255,143,566,918,907,797,376,196,066,964,670,281,674,582,
763,924,079,875,584,218,019,868,230,473,918,705,187,491,041,978,699,124,156,
563,704,777,550,192,897,993,050,431,586,297,507,709,423,664,239,452,837,862,
138,374,847,005,005,851,243,899,964,343,988,599,335,995,574,925,622,086,923,
062,347,902,709,668,032,502,625,914,558,447,683,827,857,188,315,280,167,095,
672,566,382,339,242,117,083,798,066,805,152,481,226,003,287,887,748,174,833,
144,032,317,932,873,621,232,402,888,287,014,308,934,391,015,502,749,296,698,
775,016,739,071,034,143,994,470,752,459,141,300,486,496,804,306,815,146,299,
045,975,804,391,754,704,382,599,258,889,392,042,948,169,250,229,823,456,649,
848,162,075,904,472,011,042,493,482,698,247,325,124,463,330,769,257,144,457,
916,261,460,617,691,850,450,792,238,472,854,142,232,301,435,332,793,279,755,
061,138,716,304,119,446,906,646,081,085,693,623,395,807,406,741,551,415,596,
138,384,473,867,954,293,708,286,651,131,555,168,625,263,487,135,774,634,608,
561,258,326,955,745,350,320,761,372,683,084,754,789,944,912,764,587,851,872,
954,367,949,763,159,258,779,079,329,219,820,324,754,437,680,849,120,582,033,
829,052,169,298,080,745,894,781,337,265,838,490,031,178,756,374,824,619,177,
857,175,567,296,002,289,226,434,477,372,730,002,503,559,092,732,461,183,118,
088,959,518,463,881,275,493,167,943,180,178,966,358,521,806,650,640,654,497,
464,210,057,499,601,394,406,188,133,532,177,646,663,704,296,312,232,609,265,
390,253,340,561,679,817,082,241,073,095,417,057,697,283,218,865,638,694,411,
196,862,164,616,313,439,927,289,475,221,371,336,332,599,217,905,241,613,068,
907,904,601,593,550,744,690,083,369,583,766,239,638,513,066,511,844,638,897,
749,196,258,799,552,834,367,609,373,718,048,960,692,765,442,353,132,940,971,
624,238,942,107,171,131,979,934,636,888,117,368,061,558,977,513,333,298,754,
290,155,842,352,565,362,085,850,051,069,994,597,897,212,082,426,976,419,902,
180,614,744,106,664,053,322,029,326,820,426,213,442,203,992,956,268,958,760,
786,902,946,302,765,089,429,994,824,395,947,666,975,495,876,592,775,249,765,
610,512,376,647,028,711,553,948,577,690,871,473,118,144,184,815,687,624,629,
860,919,115,942,973,828,778,738,547,390,072,429,315,379,475,177,735,473,938,
541,704,453,655,430,825,325,803,534,715,588,073,686,318,827,212,515,198,158,
614,475,707,013,402,551,541,623,956,182,749,481,843,488,648,560,089,199,555,
692,576,690,594,184,838,882,072,404,438,314,475,775,733,308,778,413,657,538,
871,148,334,781,964,473,626,171,718,379,566,451,595,794,672,584,521,683,823,
720,568,791,541,749,410,304,102,085,141,392,177,549,974,105,514,232,688,568,
744,205,053,568,833,390,715,628,783,690,474,146,610,141,867,719,133,223,565,
586,796,971,413,665,437,247,694,351,296,133,408,821,813,718,672,642,824,761,
117,063,493,108,213,143,266,648,232,291,039,626,828,529,226,068,078,359,285,
375,857,715,859,213,677,451,995,521,528,058,821,209,068,012,289,431,527,633,
310,594,472,446,601,030,886,057,293,725,163,149,568,035,140,042,374,421,159,
281,484,176,985,900,421,252,706,504,145,831,070,752,592,350,456,100,723,634,
229,646,607,100,870,644,740,641,146,566,850,171,421,177,034,573,633,052,250,
822,340,965,345,020,758,205,364,494,375,959,315,468,230,924,325,796,097,318,
985,190,312,565,949,287,799,805,086,317,562,863,849,653,556,247,982,779,031,
012,337,570,409,307,871,368,860,915,462,510,432,088,225,841,468,411,274,323,
524,765,995,139,546,750,057,666,144,776,367,627,912,773,848,589,852,145,078,
751,565,039,259,607,839,667,146,411,824,052,109,761,469,503,404,045,064,406,
739,499,106,792,740,814,106,069,287,959,075,830,745,409,971,202,602,530,489,
928,445,597,842,653,541,373,909,227,486,172,092,001,271,362,936,192,145,995,
555,468,930,297,112,757,108,602,763,476,225,098,263,407,569,074,602,543,571,
175,591,766,487,490,539,835,657,309,595,418,045,049,995,253,465,741,075,966,
645,590,787,300,582,573,185,310,083,562,116,121,068,237,387,796,225,244,772,
936,315,675,445,856,457,485,389,008,689,391,560,827,434,022,969,158,032,809,
153,267,028,538,024,446,068,739,158,028,235,264,192,177,140,400,625,853,464,
163,489,356,937,471,465,044,987,279,469,737,313,488,322,828,427,188,539,924,
431,728,442,577,797,428,219,821,273,451,502,903,842,100,247,308,848,604,495,
940,048,631,357,962,016,007,283,651,471,884,086,303,955,489,782,893,168,357,
659,710,358,132,077,497,471,832,829,283,675,035,222,062,538,529,024,694,856,
342,598,373,175,272,902,287,830,832,208,479,172,211,693,405,220,371,482,562,
814,319,157,096,483,854,489,904,957,496,076,826,714,022,023,927,963,574,281,
309,208,578,802,958,874,216,413,371,064,173,178,214,130,626,998,101,405,254,
228,721,100,341,424,458,142,618,320,084,153,074,860,569,421,049,014,911,489,
770,688,043,815,832,542,860,632,509,086,265,645,196,732,744,341,704,531,494,
647,551,759,970,149,308,413,361,425,816,847,959,814,129,411,267,844,980,333,
247,424,337,901,423,862,986,809,459,434,828,863,211,535,314,931,582,281,204,
553,114,482,709,573,520,711,206,941,933,590,753,800,800,787,699,613,481,767,
790,683,122,066,513,042,930,490,305,459,440,213,922,102,846,818,165,328,201,
381,408,693,153,369,577,568,418,201,113,976,070,796,964,260,033,806,188,441,
277,844,016,896,030,175,429,761,447,500,823,220,542,639,383,199,888,748,787,
905,623,302,387,388,547,362,433,043,825,607,185,552,163,172,205,331,079,705,
292,744,905,400,273,983,538,120,545,428,883,848,394,201,197,767,028,837,259,
527,460,316,056,904,672,510,984,643,136,627,084,075,191,214,010,642,374,980,
925,999,365,182,064,018,762,858,973,327,073,152,634,551,320,901,521,100,161,
548,013,490,645,914,633,934,184,640,121,733,288,116,929,535,551,796,536,079,
882,204,364,534,239,671,344,124,869,139,248,616,716,541,146,719,696,371,790,
938,732,769,576,424,626,057,921,008,896,854,048,709,832,939,044,409,682,310,
250,942,038,950,580,403,888,349,007,331,938,870,661,541,322,538,810,221,598,
559,653,985,712,204,064,439,687,643,187,334,908,856,460,155,288,080,456,462,
316,983,774,441,610,843,675,555,217,159,295,773,029,010,054,962,363,259,684,
924,725,290,799,119,150,467,294,461,698,613,287,053,564,241,844,491,559,067,
171,519,911,320,567,571,019,290,702,202,928,352,892,546,046,892,806,210,355,
297,316,904,840,463,509,829,498,385,983,784,971,227,274,607,606,192,646,410,
497,652,834,047,401,750,503,091,674,443,237,207,477,208,168,553,971,651,186,
419,603,177,313,432,182,463,175,720,162,181,077,950,647,079,738,336,591,947,
992,807,319,421,034,144,382,252,159,504,365,384,364,265,279,922,132,715,566,
218,923,924,604,563,125,053,803,079,886,411,786,470,089,148,823,079,080,451,
435,886,982,437,060,196,174,342,915,385,145,529,512,811,161,681,410,005,606,
710,742,311,080,269,692,381,794,901,957,631,015,311,071,723,870,542,606,320,
672,563,403,597,795,170,728,671,135,192,100,130,329,973,266,409,849,348,296,
365,295,381,747,468,791,334,063,062,873,166,229,744,984,926,445,547,704,511,
327,740,586,745,117,362,097,427,521,848,887,915,862,568,323,817,003,967,961,
961,274,785,723,024,983,006,004,102,758,009,954,331,194,984,924,130,391,092,
233,802,586,483,223,512,610,364,850,737,956,741,741,497,233,881,456,875,179,
353,176,326,434,472,441,329,605,136,738,348,214,471,882,925,956,220,740,975,
180,014,268,026,451,025,810,428,209,607,722,327,667,392,666,364,121,896,455,
466,044,136,069,224,167,987,996,427,534,384,034,636,597,806,797,742,950,622,
607,497,216,721,957,391,698,621,668,888,533,088,603,001,860,420,060,399,232,
598,611,910,143,689,142,022,248,383,779,634,343,181,956,799,057,306,199,617,
839,434,284,318,990,271,072,555,023,181,065,930,490,620,085,887,983,258,383,
463,227,169,344,574,488,453,590,745,556,491,918,011,929,466,292,399,794,060,
184,103,127,019,948,730,612,805,323,480,140,039,529,822,080,731,613,034,697,
217,081,382,551,047,405,382,552,761,470,461,156,600,920,372,851,516,204,706,
589,737,036,581,776,184,048,479,667,750,466,346,827,960,746,561,383,650,709,
044,292,400,305,023,743,220,245,493,178,031,873,140,787,638,389,756,029,912,
020,766,574,930,875,330,761,388,275,170,867,931,189,540,276,730,527,631,351,
706,345,338,023,110,894,453,960,217,819,062,873,657,469,581,970,461,400,350,
141,752,724,223,102,237,525,129,179,388,243,684,668,887,586,454,049,545,028,
993,398,478,550,301,080,822,283,723,089,166,616,291,645,749,654,056,945,085,
721,317,410,058,184,841,853,231,794,058,865,158,909,893,695,929,831,884,364,
327,531,468,682,725,082,314,310,266,869,812,525,009,566,537,457,589,874,743,
775,040,296,293,579,945,564,479,746,171,767,348,854,570,361,266,668,607,092,
673,595,206,885,041,845,003,899,278,810,640,545,835,907,365,330,440,346,549,
107,726,981,751,316,880,868,130,803,839,802,950,302,022,194,352,672,915,193,
232,642,409,521,715,282,489,642,038,723,681,903,437,228,929,356,945,982,830,
741,550,325,308,327,904,317,238,735,759,617,488,498,167,749,094,367,269,480,
668,678,542,004,824,048,323,409,793,524,751,886,909,031,787,335,240,184,581,
064,276,478,334,432,834,178,331,286,135,916,055,095,384,110,747,023,069,374,
248,986,634,330,291,696,297,948,169,149,070,668,179,132,339,318,364,261,313,
595,230,552,634,944,659,775,946,191,655,312,910,768,810,939,873,020,447,393,
540,311,319,446,600,755,762,760,744,112,634,350,542,657,524,360,371,394,430,
096,703,347,920,245,150,850,934,344,123,655,144,438,431,985,376,221,746,283,
219,978,760,668,364,301,445,897,486,835,723,649,161,353,507,059,955,828,151,
886,613,156,357,125,541,743,177,421,125,001,128,310,878,142,184,369,552,665,
616,494,610,999,276,429,942,320,836,929,518,568,585,905,132,441,078,945,428,
755,276,064,348,531,318,761,580,049,357,615,564,265,185,662,442,520,053,362,
802,352,367,910,747,729,517,797,962,784,482,601,150,434,210,251,390,789,505,
560,079,069,081,550,695,819,869,442,137,711,948,788,358,819,744,428,996,611,
767,493,129,452,437,912,657,287,694,389,779,000,109,914,920,380,409,834,055,
868,414,200,344,168,076,934,544,680,966,398,433,810,170,433,644,835,731,246,
516,232,447,792,695,280,535,329,643,445,169,213,223,076,128,556,467,892,088,
288,421,582,177,530,551,527,972,321,662,448,977,885,358,129,878,205,608,958,
282,531,010,276,324,014,785,850,769,090,879,350,427,426,907,285,032,040,540,
396,174,607,342,319,835,447,546,025,546,224,717,751,156,044,316,071,375,356,
917,165,823,942,731,347,853,106,276,528,450,572,357,765,418,713,460,614,089,
155,767,209,858,383,018,458,851,138,444,493,313,305,419,312,246,834,663,695,
336,143,495,717,181,760,999,421,709,143,107,783,988,005,116,390,383,050,208,
950,062,715,901,649,078,436,254,634,545,938,532,604,647,832,704,421,918,873,
162,303,828,262,371,777,990,338,512,601,620,501,912,744,318,900,240,113,269,
738,758,949,899,142,037,607,675,904,486,157,295,372,348,719,667,915,629,005,
055,096,842,264,973,197,816,208,145,149,442,742,052,776,654,832,881,945,591,
279,996,292,203,565,667,766,046,967,030,012,637,431,122,029,684,041,262,971,
256,481,471,750,662,862,922,667,378,121,402,072,001,857,919,339,333,669,247,
008,203,635,160,005,449,047,330,971,320,942,235,566,806,951,791,291,344,567,
729,820,695,430,000,069,561,049,101,235,969,541,937,191,654,024,154,299,924,
822,360,859,838,784,399,451,563,448,746,596,626,506,371,509,001,025,749,884,
840,889,365,215,819,792,344,651,324,277,059,557,461,612,190,944,850,399,571,
278,646,524,884,729,037,756,631,888,340,644,446,575,710,586,215,502,051,022,
278,034,779,163,713,662,766,532,123,276,489,419,983,135,427,051,813,852,288,
069,447,633,517,972,930,530,198,960,885,171,279,894,865,581,662,938,266,710,
379,412,101,124,709,722,436,239,131,301,230,302,600,966,263,395,747,790,239,
569,196,909,533,898,067,614,804,838,725,016,772,429,169,542,243,558,720,319,
221,770,123,461,016,453,734,870,131,922,167,072,831,429,366,677,210,317,232,
269,614,830,100,422,276,048,286,479,086,535,225,939,878,982,776,895,948,317,
142,104,281,200,022,465,336,137,910,613,616,921,163,553,727,503,953,967,452,
762,339,855,023,212,365,542,803,967,767,109,314,348,215,006,578,141,661,861,
891,767,691,368,270,155,568,062,024,779,482,172,439,190,864,640,234,782,444,
460,979,570,407,581,905,121,144,962,635,021,058,370,542,280,823,710,199,245,
137,326,782,666,263,775,425,888,310,022,668,874,012,387,245,724,164,925,002,
735,304,463,266,741,089,037,372,045,105,173,951,386,643,985,271,945,263,315,
482,738,712,940,495,591,680,899,964,307,766,799,243,132,173,441,419,236,427,
493,576,304,728,637,798,954,124,314,421,498,635,065,280,978,641,361,942,753,
816,656,791,236,205,153,687,413,870,616,247,884,070,130,405,205,775,739,371,
086,516,263,164,566,459,315,303,551,626,267,134,269,510,357,222,361,681,264,
505,935,997,205,582,154,200,775,032,926,548,517,865,165,237,557,365,533,132,
828,757,622,578,407,068,251,235,251,982,608,664,424,055,987,829,581,759,703,
425,674,299,637,171,540,226,068,442,165,356,541,474,971,214,691,327,116,177,
988,398,618,353,779,103,967,949,039,810,197,466,397,120,654,401,577,036,662,
400,751,893,099,558,555,390,645,448,659,398,338,796,535,170,479,826,776,736,
374,437,269,809,005,963,019,757,466,655,930,162,124,537,533,065,725,104,594,
114,798,409,727,783,252,210,165,409,349,539,160,089,183,480,440,148,514,439,
529,061,448,651,418,869,289,722,873,165,528,901,395,066,400,518,202,843,081,
777,454,031,631,844,852,096,764,671,799,777,340,513,361,770,488,682,996,953,
399,543,051,555,468,342,670,567,427,971,443,397,324,996,774,749,614,696,615,
454,276,567,396,861,460,515,069,737,119,247,281,129,147,794,530,231,818,845,
311,300,712,261,829,876,142,541,640,150,226,224,083,931,473,654,208,984,134,
009,389,111,946,574,214,023,955,385,312,056,873,091,000,430,277,503,507,299,
340,882,487,365,151,593,336,803,184,892,083,927,762,457,192,554,463,949,147,
930,975,962,757,102,104,981,026,755,751,640,321,012,527,848,758,837,350,016,
769,322,759,696,726,814,658,484,064,912,119,131,411,526,127,455,478,695,088,
061,699,199,629,825,186,133,376,045,094,654,907,499,809,853,187,046,486,586,
117,522,792,832,052,988,961,899,628,940,735,764,101,064,272,585,350,227,407,
135,498,630,575,709,767,496,016,077,948,528,796,078,118,187,848,164,282,775,
412,483,631,516,087,249,542,847,297,594,260,245,202,216,780,219,332,084,997,
335,273,355,548,875,094,535,096,380,990,772,015,906,247,795,688,577,252,917,
924,440,950,203,331,309,711,929,929,566,693,482,988,713,101,155,403,945,599,
900,196,943,186,501,288,142,136,160,293,624,394,222,746,570,677,264,419,151,
668,045,639,895,210,192,607,769,943,614,631,905,944,553,088,066,510,067,838,
193,960,770,138,195,034,969,204,190,354,620,617,037,549,268,877,728,636,970,
441,958,202,115,150,650,083,107,815,762,462,523,617,521,934,801,452,541,873,
239,530,038,633,733,382,884,417,413,597,293,195,634,800,194,743,989,583,626,
387,566,311,295,680,482,282,707,079,283,704,279,996,107,731,818,627,051,078,
397,396,983,395,266,679,716,559,196,829,811,174,230,604,705,840,666,008,432,
092,985,909,376,834,666,590,420,198,272,957,617,315,078,432,215,869,235,627,
224,155,819,734,968,512,457,688,219,589,681,902,802,586,785,727,490,784,361,
796,145,917,633,970,511,219,386,000,581,264,006,158,891,875,198,425,199,916,
213,459,476,798,141,114,813,123,867,842,238,858,446,975,719,972,481,268,710,
659,170,233,074,426,191,528,614,179,439,287,703,504,845,208,779,340,737,865,
679,014,157,438,396,970,133,917,161,611,516,850,255,321,982,439,261,957,102,
286,854,117,863,354,839,617,757,738,485,418,960,119,280,792,435,208,585,246,
268,696,602,564,724,440,065,303,354,638,860,892,890,427,930,426,278,165,495,
307,896,211,906,097,176,773,268,722,245,847,858,704,160,961,251,898,554,031,
864,677,430,793,534,969,341,946,096,330,229,144,652,910,656,934,261,784,222,
818,693,529,832,498,864,179,911,931,006,915,543,529,505,866,149,968,021,084,
615,291,774,176,011,018,479,714,023,371,952,543,447,520,893,673,834,945,584,
614,553,180,541,274,860,682,167,038,821,399,513,345,667,369,759,407,452,690,
380,639,559,919,611,851,484,328,443,405,023,119,601,296,297,509,967,016,112,
926,243,357,316,427,097,675,353,219,358,754,616,037,270,961,204,844,380,737,
176,177,056,742,541,291,718,616,867,570,011,456,730,573,829,306,452,122,831,
156,443,854,940,014,285,010,104,117,290,331,448,513,105,561,377,758,323,223,
898,348,475,881,801,879,349,991,563,863,315,480,412,108,303,793,566,914,850,
313,747,574,300,828,521,623,773,925,908,871,348,026,150,428,934,033,010,334,
593,005,064,829,323,768,002,235,076,683,681,113,578,747,174,802,053,482,948,
117,368,453,091,663,378,352,250,898,984,554,102,084,151,710,479,198,467,369,
475,484,018,502,145,133,381,494,628,487,350,196,518,482,242,091,300,282,358,
188,924,993,086,853,577,800,544,289,611,917,457,468,183,916,461,053,419,800,
444,094,091,058,882,198,871,343,246,804,754,393,457,882,299,290,406,979,031,
349,679,598,429,252,290,564,754,862,144,672,791,890,279,964,390,991,939,650,
190,960,018,748,509,242,635,373,920,940,701,077,039,782,482,705,814,692,752,
198,727,341,817,659,697,625,033,475,095,340,792,507,445,032,635,888,538,572,
407,146,130,020,874,186,732,533,412,806,823,224,828,749,327,045,919,755,141,
013,091,770,252,196,734,220,310,671,089,479,160,878,458,699,928,628,743,528,
177,195,267,693,745,729,504,779,343,493,158,376,728,219,855,664,402,599,243,
585,576,409,403,486,643,576,895,606,038,675,541,432,927,847,126,144,402,690,
011,713,057,338,885,037,528,433,261,203,487,818,785,723,815,102,700,958,218,
995,872,824,336,791,019,084,821,922,473,508,230,361,679,682,312,469,274,953,
275,032,505,151,906,255,799,966,220,567,765,862,994,276,692,931,589,093,248,
975,521,041,583,276,783,664,833,926,442,937,332,276,520,326,859,002,842,294,
467,348,186,539,453,239,245,454,822,578,809,473,429,839,536,381,872,712,747,
199,293,638,439,007,252,578,456,746,766,437,296,584,141,260,367,745,049,155,
841,515,287,346,855,484,744,462,244,629,858,128,356,020,820,402,890,696,354,
603,743,432,736,452,317,556,634,446,148,247,233,055,027,249,467,621,812,177,
550,976,991,800,974,299,534,076,018,878,247,300,248,825,222,410,616,073,591,
400,460,705,556,889,598,476,535,865,502,549,577,790,585,288,267,248,568,172,
858,251,434,849,553,015,299,982,053,417,664,140,188,586,600,539,036,515,655,
816,226,388,619,276,761,383,953,972,674,331,914,820,552,724,465,848,686,214,
474,914,030,302,974,312,246,791,183,186,358,946,023,240,525,963,990,768,148,
516,498,274,204,044,064,478,348,119,758,685,124,385,344,889,974,851,270,235,
110,862,484,061,519,611,230,175,163,029,544,864,249,321,866,782,529,923,838,
556,674,236,580,808,871,368,183,315,717,525,292,318,945,921,400,374,423,638,
428,256,222,615,412,240,324,851,201,514,247,781,492,988,210,307,041,757,752,
055,631,639,814,014,742,386,993,657,853,837,002,016,913,487,909,851,499,198,
755,934,546,613,161,474,202,346,866,542,379,124,228,223,310,661,802,232,999,
075,164,376,854,407,782,230,457,587,568,825,135,846,690,603,990,452,687,886,
566,477,985,453,381,606,047,747,475,178,803,705,618,073,839,540,499,399,840,
068,359,606,476,845,985,349,212,623,273,582,010,422,228,279,063,273,058,766,
585,335,820,257,453,854,584,119,912,001,117,564,564,136,787,823,988,149,181,
182,006,559,711,756,903,493,220,495,146,585,975,983,862,115,405,334,954,553,
005,846,837,329,131,774,193,984,844,512,818,635,656,279,093,544,835,319,333,
391,041,911,722,010,836,509,942,895,753,192,910,491,689,388,212,937,387,899,
417,663,416,296,829,153,018,885,866,275,600,193,587,551,451,263,094,936,621,
838,091,178,465,993,176,276,827,353,346,897,349,218,685,151,014,563,976,247,
405,009,524,415,379,946,938,509,055,731,602,898,530,100,262,936,685,899,007,
113,740,114,220,151,520,084,485,658,375,954,925,060,029,142,980,128,165,901,
510,120,403,319,604,564,681,423,960,801,643,063,473,157,673,116,404,287,122,
345,399,479,742,417,214,944,225,546,804,175,039,500,834,020,517,508,839,066,
500,120,797,519,172,544,120,342,318,134,014,409,952,857,366,673,299,505,114,
157,830,501,949,744,480,920,119,525,718,484,044,657,227,104,307,558,009,056,
101,765,574,333,568,326,642,442,561,315,486,651,675,461,105,454,910,084,443,
343,525,784,225,559,724,155,644,505,399,526,538,845,597,948,820,499,184,840,
800,381,932,290,216,422,694,605,889,828,207,856,556,196,053,046,725,897,595,
923,143,019,731,195,216,210,933,333,253,835,850,611,340,589,421,425,174,636,
459,802,701,313,406,261,808,367,994,892,714,662,516,976,777,785,758,997,914,
804,697,542,993,843,575,804,276,479,087,927,148,676,428,529,238,068,742,738,
899,705,417,216,583,869,853,300,873,259,510,230,551,806,949,818,533,282,184,
679,798,771,701,818,492,856,567,458,210,577,013,591,291,286,970,118,984,194,
348,267,546,568,879,858,177,684,174,133,047,060,417,032,288,139,630,858,012,
410,288,921,914,624,525,474,077,431,263,449,462,063,678,877,407,081,194,479,
811,963,433,255,184,362,564,778,817,326,622,462,598,680,601,163,230,312,321,
766,128,665,160,457,711,114,473,013,373,889,934,336,874,129,234,939,300,507,
625,985,240,306,649,466,925,164,841,988,754,881,818,176,984,649,017,041,210,
562,772,534,831,011,883,090,498,383,698,493,402,706,357,301,793,765,335,752,
466,290,224,767,516,745,693,912,430,996,293,748,234,787,632,999,180,344,101,
692,450,977,641,250,441,931,345,465,979,289,092,050,872,089,892,811,133,848,
242,513,206,793,901,876,466,386,359,103,478,756,026,398,899,926,697,496,333,
809,447,183,243,771,951,788,729,088,132,493,452,625,578,525,325,007,530,015,
653,106,060,817,550,619,190,478,910,071,523,022,778,481,114,511,609,149,334,
883,631,219,277,548,570,699,470,490,475,987,407,674,914,019,935,782,064,101,
174,939,136,454,296,421,478,293,900,717,364,898,130,684,269,036,759,173,852,
782,688,235,023,562,745,668,764,693,279,437,902,407,070,055,122,266,245,456,
130,465,184,159,344,687,998,881,214,922,765,665,527,550,817,811,914,199,437,
290,749,874,542,570,285,404,462,682,487,467,364,218,460,384,977,488,199,233,
860,370,163,700,377,222,056,033,071,790,165,156,814,455,398,742,407,117,069,
651,440,110,420,883,759,720,006,417,406,135,241,513,502,448,411,152,886,904,
350,490,398,530,880,779,012,558,506,723,070,195,658,028,407,469,369,239,358,
607,469,223,042,724,714,664,463,899,902,304,569,395,190,080,372,590,016,762,
306,275,567,965,490,925,655,035,779,299,277,727,524,512,378,469,898,418,318,
250,846,567,022,073,536,755,405,051,032,358,717,629,041,728,669,050,435,352,
758,764,913,919,503,332,300,064,427,443,893,395,878,127,552,122,744,693,894,
260,397,639,865,159,491,614,623,591,841,793,064,204,479,788,988,471,975,067,
268,224,609,768,545,098,761,192,195,124,614,883,356,476,531,667,016,144,571,
894,067,976,704,023,915,947,804,789,279,558,863,031,999,120,679,108,289,981,
350,464,189,117,212,711,662,019,505,292,451,734,354,893,395,509,514,489,628,
587,553,470,816,936,098,185,664,859,115,942,953,676,405,412,201,494,374,449,
511,033,229,255,124,770,768,173,633,704,234,214,790,943,216,560,712,825,096,
219,546,979,845,802,256,847,003,960,767,391,817,900,181,703,055,633,848,840,
813,851,484,590,020,231,905,596,500,689,928,180,560,683,945,464,337,604,893,
771,294,775,533,091,010,409,076,246,107,539,012,456,420,831,787,877,438,865,
291,210,541,351,529,936,183,926,003,965,881,669,790,794,709,977,368,118,529,
301,937,204,935,872,662,688,248,181,584,128,305,080,706,018,606,966,260,840,
976,940,872,782,945,673,294,319,853,342,844,096,274,853,665,536,198,785,106,
818,569,624,556,719,357,026,921,210,016,591,784,538,462,100,434,849,906,711,
472,041,938,263,766,924,456,004,253,423,690,677,713,445,242,726,546,630,453,
513,331,045,438,820,615,775,737,092,954,134,747,169,023,654,789,471,075,550,
303,870,082,114,309,670,596,701,538,189,942,085,709,376,574,824,595,193,553,
303,511,763,121,300,905,288,924,725,268,117,914,665,537,384,807,082,906,674,
532,806,887,527,066,983,392,139,366,881,553,486,286,423,268,282,590,516,421,
235,732,951,016,785,339,356,449,300,076,483,829,691,495,963,997,692,123,080,
121,224,908,113,490,687,187,415,658,481,856,879,007,535,136,596,307,631,698,
014,629,832,382,904,122,112,129,156,786,734,431,175,498,255,868,729,304,283,
648,894,255,584,316,993,974,274,857,710,934,445,914,820,844,471,958,622,075,
754,736,250,102,538,501,818,349,636,517,194,086,086,639,693,400,185,762,806,
242,701,663,232,806,328,339,534,214,831,779,458,554,026,123,390,765,273,448,
220,685,263,479,522,748,648,863,320,701,144,727,863,186,619,978,091,041,424,
948,676,818,040,690,970,764,184,744,178,853,359,681,569,454,851,594,653,492,
142,405,981,904,312,643,120,320,487,032,241,569,524,927,586,101,006,464,849,
773,487,918,248,858,693,677,554,341,618,583,007,070,993,153,793,688,603,782,
024,498,273,725,773,402,208,692,264,104,243,045,999,758,698,193,671,832,763,
663,127,493,778,804,163,630,905,672,472,456,170,748,688,769,001,470,116,984,
607,896,890,836,638,513,780,430,429,838,525,649,072,942,350,772,777,400,835,
715,523,198,510,592,363,212,770,244,173,333,857,148,615,884,774,825,529,021,
872,814,368,391,868,519,154,442,385,134,357,675,481,956,913,194,592,886,003,
638,554,141,322,084,482,926,592,697,197,852,367,209,210,368,512,976,047,400,
481,118,208,224,514,670,818,014,482,497,036,616,556,214,876,512,463,132,339,
268,401,379,662,218,001,437,635,704,729,148,692,508,426,782,609,348,216,534,
516,938,405,792,115,308,486,817,423,351,243,894,269,061,743,969,481,989,337,
849,116,241,427,965,257,706,380,381,256,906,742,822,613,427,248,986,973,957,
793,150,916,361,954,833,410,248,070,267,589,284,950,467,879,787,512,038,554,
208,836,083,045,574,523,139,530,617,796,833,631,827,816,375,282,015,533,653,
287,202,760,404,408,110,970,514,821,867,783,720,094,876,030,553,205,156,108,
589,863,860,890,193,651,559,373,678,357,995,813,654,317,247,135,286,936,147,
550,749,625,715,875,897,046,014,382,271,299,087,900,580,479,927,969,535,730,
286,156,127,134,879,083,356,879,576,829,751,809,203,189,663,729,128,812,677,
523,949,475,237,723,415,055,272,790,463,494,068,516,823,913,789,876,303,710,
065,598,704,856,857,836,903,487,699,496,724,333,167,408,623,509,976,739,636,
078,124,369,254,453,744,020,672,958,171,293,867,518,271,967,993,495,838,203,
360,208,295,315,073,387,784,526,512,328,420,982,850,057,226,656,270,355,775,
473,883,878,098,736,540,530,536,972,064,829,792,977,456,489,468,664,380,490,
136,795,712,560,596,139,612,757,995,248,901,327,668,004,867,467,494,885,149,
853,412,659,553,193,913,124,628,910,299,766,807,280,383,865,596,620,556,727,
189,582,178,117,514,951,880,638,533,468,327,591,085,604,564,473,234,971,016,
696,496,322,859,745,354,930,627,224,501,530,487,581,187,434,069,897,530,559,
018,447,019,569,965,587,919,363,108,664,070,748,429,254,023,945,427,500,986,
108,199,907,742,704,655,406,933,335,548,108,740,405,883,811,697,346,415,046,
205,199,140,349,262,429,021,083,291,165,674,257,947,577,859,868,213,155,288,
765,287,000,106,495,056,033,158,091,027,581,633,568,280,165,186,540,209,141,
299,887,454,737,153,291,556,268,311,783,801,234,712,921,201,768,438,391,065,
020,161,110,200,565,791,095,620,066,259,251,030,853,209,623,830,008,159,884,
998,968,836,732,959,761,169,298,209,726,492,943,555,223,200,453,665,892,242,
529,300,123,510,273,007,526,451,558,978,730,010,175,530,946,823,977,280,195,
923,500,968,189,031,766,468,079,278,839,839,145,975,200,506,669,710,254,609,
199,040,395,325,970,683,257,022,964,849,632,007,114,360,007,161,100,247,553,
638,848,411,713,055,256,708,523,395,535,102,689,301,121,467,680,870,968,586,
023,235,862,398,163,417,811,724,305,905,362,489,943,594,185,210,957,289,386,
769,216,830,577,078,801,762,825,155,132,718,840,461,944,463,862,096,040,381,
339,239,120,319,046,319,428,085,019,023,037,180,446,360,032,067,396,817,413,
689,654,511,195,564,643,461,331,819,756,985,295,174,401,838,996,596,200,561,
557,732,720,211,319,009,063,379,960,398,430,187,218,749,691,903,506,708,267,
939,893,318,113,974,818,626,938,251,093,652,528,729,694,070,092,858,232,897,
693,127,177,796,428,779,792,290,646,624,578,275,157,701,156,880,535,282,544,
530,301,977,975,290,922,634,589,628,574,700,755,935,104,335,215,883,700,431,
636,636,856,015,003,281,102,500,738,212,250,899,628,688,522,544,265,576,733,
411,080,011,840,961,884,785,962,904,904,580,413,398,443,015,543,731,626,985,
171,234,004,379,461,546,768,346,907,726,845,360,116,900,381,259,315,941,517,
783,172,339,757,755,567,218,600,862,575,006,096,714,518,306,532,119,389,032,
971,294,936,153,862,639,236,915,168,954,109,947,147,578,948,037,685,741,085,
564,382,362,700,766,126,626,810,560,451,568,691,480,812,816,475,670,991,990,
883,985,362,290,364,737,535,124,861,610,060,913,269,417,354,104,263,593,055,
915,073,808,038,358,065,628,680,408,710,959,277,239,078,240,228,656,276,130,
724,929,030,711,824,315,921,084,291,537,104,009,574,529,498,969,101,271,699,
023,738,376,354,296,291,078,321,305,384,955,980,332,037,844,128,394,921,111,
746,126,037,419,887,591,809,253,268,392,446,861,281,699,047,979,976,317,851,
663,985,089,194,902,465,758,974,167,336,743,647,342,436,517,526,010,447,200,
576,983,490,570,866,292,391,567,991,050,403,165,539,412,465,435,897,563,040,
865,680,533,181,977,307,031,041,782,975,327,906,152,298,006,380,190,245,479,
045,527,648,832,314,020,442,412,213,231,038,851,459,229,707,453,877,201,308,
229,290,544,496,886,557,499,367,559,498,113,671,455,313,601,862,595,924,162,
914,020,318,341,326,201,615,961,980,953,205,588,344,644,889,373,945,887,406,
867,308,082,316,411,855,508,591,512,463,583,730,706,635,863,891,172,986,719,
757,908,585,422,047,568,842,384,782,385,438,279,603,125,461,379,467,418,817,
043,903,005,360,049,039,501,903,876,929,247,836,019,327,300,166,044,819,142,
757,736,061,439,263,754,218,937,247,219,858,837,063,462,688,074,425,004,742,
132,333,336,446,623,753,682,126,351,496,176,605,806,366,872,532,328,635,904,
965,344,333,418,618,512,548,449,125,848,830,541,143,079,330,345,167,135,487,
204,344,981,824,872,816,023,557,997,298,332,094,038,276,716,224,318,071,788,
145,943,718,845,611,401,627,899,761,054,104,898,638,965,752,782,520,593,935,
494,820,874,446,825,712,896,796,207,949,657,290,336,632,289,286,069,201,028,
549,790,771,697,166,171,730,773,563,181,352,793,155,784,639,884,771,699,342,
158,174,626,180,266,820,757,318,040,922,278,914,832,207,818,649,486,173,808,
825,979,850,799,515,752,087,235,101,848,642,237,296,975,804,845,231,067,498,
145,835,446,783,679,919,237,680,118,056,997,443,912,295,965,236,219,355,120,
479,647,613,587,475,719,470,490,279,656,671,739,692,004,981,853,867,308,525,
726,066,915,878,766,432,480,840,975,681,280,211,715,514,543,371,738,873,913,
627,722,093,382,139,674,438,485,960,147,783,527,809,324,061,904,389,276,301,
217,543,903,332,744,505,618,263,694,034,201,815,025,001,755,735,144,351,620,
994,709,917,192,509,844,026,928,645,363,828,694,442,723,057,657,026,469,228,
329,858,405,593,672,630,274,658,092,203,894,511,880,567,561,271,730,610,299,
030,228,697,416,468,877,749,498,494,010,390,051,614,734,927,880,570,941,898,
371,070,780,681,981,307,209,269,398,354,232,061,159,874,382,644,687,980,295,
399,057,634,379,782,914,465,811,738,780,631,433,929,602,694,192,974,222,228,
200,107,771,812,365,052,917,744,186,086,091,348,356,572,972,891,798,847,445,
223,438,201,433,337,940,083,999,079,180,199,292,734,536,938,089,384,316,431,
007,255,649,701,643,652,935,225,146,622,202,570,192,690,756,818,823,956,709,
687,440,703,989,007,517,114,037,029,544,023,737,657,068,517,598,808,774,593,
104,824,359,943,483,995,740,812,594,280,315,475,247,791,702,491,133,530,877,
320,822,245,083,130,715,280,357,262,063,244,387,236,405,368,758,696,963,309,
196,436,644,279,256,342,014,469,660,464,268,722,941,021,259,126,723,348,610,
219,724,537,931,895,374,658,693,070,771,262,017,575,402,870,078,600,875,720,
374,855,422,495,864,468,480,574,149,463,688,283,438,458,873,856,430,353,066,
257,928,396,377,611,173,489,135,635,074,599,352,035,790,872,026,774,818,304,
171,018,280,696,098,893,216,011,493,258,885,845,675,399,209,027,263,045,367,
064,100,365,590,217,340,751,773,932,953,158,245,527,643,701,841,773,303,907,
796,885,714,738,134,837,835,070,489,563,477,797,422,700,813,992,570,975,114,
161,107,525,391,321,867,089,258,335,916,015,379,781,598,386,466,365,144,893,
610,307,637,578,220,138,500,672,655,227,885,635,102,577,424,513,515,946,816,
635,830,400,389,053,031,846,321,754,920,885,696,972,845,404,470,030,521,955,
641,768,769,273,810,643,107,498,489,032,936,841,348,829,273,876,055,259,492,
550,785,181,346,347,024,939,302,593,827,655,789,724,340,545,794,876,743,789,
189,116,521,362,698,880,594,010,562,562,463,783,062,706,433,868,633,283,427,
312,587,999,922,948,023,559,792,499,627,676,730,028,106,579,605,809,901,985,
757,702,122,807,032,490,689,632,896,202,824,043,036,134,190,802,348,628,702,
585,142,138,284,372,153,805,359,056,069,378,631,474,783,474,311,816,546,054,
242,658,978,926,589,448,106,378,213,631,968,403,168,590,876,778,814,501,667,
430,970,161,003,826,416,409,586,735,525,034,058,936,497,290,277,165,842,381,
766,433,568,214,842,826,606,770,578,202,690,519,483,281,113,244,569,259,514,
166,235,216,317,538,423,551,356,871,125,865,938,449,638,571,338,094,710,445,
426,041,348,634,598,959,952,199,109,022,144,951,827,884,238,919,078,879,013,
140,322,867,292,314,294,525,943,448,814,364,220,038,200,994,903,874,741,521,
944,707,527,798,804,949,366,972,030,726,934,607,016,978,777,391,642,910,507,
843,694,610,043,894,173,029,592,193,086,961,726,799,493,275,948,180,386,436,
759,723,044,205,916,077,983,903,090,362,244,990,891,271,120,546,826,180,117,
946,620,888,312,692,606,114,535,691,367,716,712,548,946,645,015,351,505,903,
913,854,805,148,375,779,309,913,070,378,047,932,527,022,808,956,112,503,801,
775,888,639,511,377,199,831,830,325,861,666,726,345,272,820,489,504,843,796,
005,554,617,398,815,392,350,202,023,010,115,844,185,544,337,478,814,756,079,
768,519,561,623,194,371,117,232,360,361,504,716,413,989,033,876,400,843,530,
964,681,750,821,217,792,182,055,146,268,539,079,082,347,894,283,419,145,760,
972,304,302,109,701,562,831,810,333,352,034,637,955,995,225,752,298,655,706,
507,601,673,964,080,311,847,460,560,639,682,569,241,986,887,628,594,816,992,
663,685,323,915,706,264,289,717,502,644,775,667,989,484,687,227,076,039,465,
861,666,001,016,994,315,627,596,348,316,169,559,696,232,918,350,191,224,322,
124,162,992,604,256,005,009,210,262,814,871,115,967,803,423,851,804,780,196,
311,259,938,786,303,400,095,341,195,715,350,037,769,024,405,937,725,010,191,
751,859,526,347,294,392,843,128,138,554,834,735,385,715,703,808,882,702,322,
865,195,754,210,175,705,769,615,208,301,401,226,881,218,779,344,935,262,424,
360,541,008,435,611,234,911,203,043,027,629,306,113,106,616,419,075,785,156,
780,644,947,244,181,116,726,479,506,611,260,906,417,458,622,114,880,495,825,
970,231,091,398,093,672,416,035,297,196,807,230,136,591,672,705,108,461,693,
354,959,575,402,815,238,565,799,969,612,820,886,477,356,906,184,676,452,842,
132,326,248,074,487,312,168,899,758,020,902,808,173,184,602,727,822,124,068,
814,394,233,663,217,318,289,956,325,801,491,904,728,408,393,767,553,002,723,
314,789,950,894,926,759,972,586,745,549,200,358,668,501,477,907,479,913,435,
946,158,149,675,218,176,636,522,280,473,923,964,074,335,641,923,925,015,681,
930,163,324,037,018,728,272,866,662,147,207,399,833,043,026,367,471,722,029,
928,492,038,692,826,652,370,287,079,783,489,362,013,308,430,272,848,291,799,
247,070,839,611,213,472,925,358,463,686,368,136,547,769,973,105,572,041,157,
648,418,570,641,885,654,174,095,861,646,184,108,544,045,415,688,222,566,941,
579,234,412,127,086,516,169,311,789,690,074,630,238,324,033,760,457,386,362,
013,307,709,929,696,940,406,884,519,289,174,195,103,098,188,296,997,235,117,
684,876,509,574,686,056,377,283,927,719,829,523,012,834,554,363,005,982,345,
451,202,652,135,812,692,346,985,808,136,771,311,020,095,636,396,075,941,121,
025,173,587,018,944,801,945,077,806,709,263,397,779,929,207,673,717,329,135,
795,738,942,221,580,588,557,610,929,814,305,738,392,801,227,235,187,047,746,
902,456,784,884,069,370,041,548,608,840,247,135,560,010,706,313,104,509,538,
634,454,837,937,291,482,371,399,075,296,056,479,423,671,120,880,642,890,939,
149,598,968,237,138,652,979,795,454,181,878,348,278,329,796,041,286,214,720,
205,353,675,447,746,685,675,774,729,789,260,198,798,451,637,729,441,153,645,
461,087,591,315,333,500,486,741,843,157,198,781,865,809,589,657,834,790,792,
393,190,869,936,157,733,092,545,138,363,278,685,851,593,807,855,096,275,578,
945,734,620,126,094,052,456,385,180,873,413,939,897,538,361,160,954,272,481,
923,639,106,391,054,459,700,042,317,587,307,120,459,100,230,307,245,760,664,
014,448,156,982,309,583,276,005,108,873,739,900,180,166,404,625,770,878,621,
864,929,508,202,268,391,410,816,002,886,713,627,390,097,827,933,192,500,997,
609,053,398,464,886,879,345,786,299,007,751,637,871,995,165,431,945,010,284,
529,091,297,107,452,317,607,758,837,492,704,520,162,830,762,536,445,522,172,
868,279,919,656,210,872,373,729,081,496,711,674,400,551,169,669,754,712,350,
242,420,567,047,474,322,453,006,288,219,021,254,632,957,172,136,591,723,009,
966,716,762,977,743,285,156,233,323,966,047,828,939,546,827,274,662,360,403,
555,017,804,124,425,949,656,896,331,482,219,499,795,493,921,232,255,410,603,
427,601,422,833,932,944,861,022,418,578,605,431,741,295,515,331,957,897,758,
407,958,340,296,677,728,492,105,661,678,903,370,148,609,721,592,728,366,293,
166,999,530,973,540,142,887,525,317,584,815,132,565,439,839,165,657,291,927,
385,962,335,073,096,198,132,989,865,905,663,862,942,482,353,216,995,457,888,
096,187,406,409,341,893,100,343,523,798,411,195,955,166,834,427,091,636,259,
719,772,511,053,243,685,922,120,518,440,996,380,941,395,251,796,417,430,755,
457,576,144,847,672,729,686,612,532,943,377,454,661,739,272,783,645,595,658,
856,294,741,865,325,990,619,506,874,618,328,945,424,752,303,347,965,048,314,
205,747,945,482,819,089,565,781,440,129,320,265,837,176,466,100,027,855,398,
115,030,155,406,850,381,376,565,653,729,383,013,138,265,941,297,864,315,280,
188,671,396,750,270,250,847,834,379,778,902,859,176,153,935,359,018,664,173,
845,843,796,852,672,597,123,220,405,159,313,961,403,142,323,920,772,011,620,
771,269,618,694,149,197,254,076,029,496,045,040,201,691,009,915,367,808,430,
343,798,786,757,611,371,085,451,400,445,190,772,965,882,499,548,917,145,282,
903,521,857,907,865,683,607,385,689,980,710,481,663,184,437,025,985,624,663,
170,866,201,409,167,413,395,534,513,876,060,419,031,482,569,424,640,299,435,
713,058,753,064,536,477,964,046,568,690,219,811,341,134,117,178,537,082,805,
589,795,529,211,140,661,866,762,833,401,892,729,856,574,117,281,914,251,235,
013,596,923,269,644,673,917,849,468,290,449,475,302,232,778,957,653,631,181,
066,922,497,229,493,891,818,571,183,357,487,335,595,577,950,204,944,299,901,
721,938,849,694,629,608,327,144,179,254,549,094,625,068,325,143,980,703,822,
460,649,637,773,791,317,200,580,979,247,809,666,565,667,199,955,489,648,397,
338,460,195,354,703,663,398,667,245,223,327,124,221,035,288,510,416,143,219,
667,163,879,947,698,318,495,399,993,109,849,321,562,449,241,990,172,313,301,
670,020,651,812,102,904,013,689,286,065,997,002,981,502,277,546,633,411,720,
601,283,369,109,774,519,015,702,478,855,629,041,522,331,338,873,990,628,350,
372,643,327,964,238,290,264,151,454,128,656,962,102,803,059,113,796,539,245,
323,904,351,004,123,209,810,853,222,033,083,050,479,495,562,407,842,343,891,
575,737,260,077,731,334,470,508,311,690,935,130,931,276,988,707,417,913,155,
266,937,826,957,924,097,300,781,346,271,637,588,300,249,069,017,402,591,056,
648,247,108,853,765,229,725,355,391,419,345,362,132,931,643,775,544,064,175,
248,788,769,577,712,544,298,553,060,534,007,811,566,752,689,598,005,508,003,
254,961,870,943,193,885,584,738,901,547,856,275,989,766,036,062,398,630,028,
689,873,936,818,557,066,048,579,995,153,580,818,177,948,901,623,316,641,325,
738,772,152,722,786,082,834,220,800,085,217,786,905,283,151,622,066,817,477,
503,366,730,846,037,252,829,817,877,433,253,987,896,220,265,710,346,950,838,
311,689,944,275,974,853,503,160,940,404,718,021,110,306,127,691,272,978,943,
988,915,715,324,782,134,148,153,496,302,392,322,455,871,212,652,945,399,740,
751,461,138,655,347,682,980,198,921,364,766,708,053,977,011,787,086,147,184,
783,798,067,004,906,881,573,516,430,224,117,003,660,624,980,948,664,026,710,
225,789,143,492,592,146,962,867,790,711,332,738,601,527,657,891,052,465,378,
840,595,607,245,935,530,204,178,332,209,595,805,739,931,764,427,736,118,061,
056,455,008,482,609,668,874,563,040,571,118,622,859,755,402,787,835,565,456,
817,893,282,842,334,225,887,497,834,289,281,750,178,410,343,766,796,242,754,
493,884,575,140,557,858,636,442,667,397,651,853,178,876,469,802,075,567,345,
570,828,553,112,369,007,395,391,240,314,547,149,187,506,064,778,121,695,891,
938,114,611,486,099,685,195,211,783,666,265,454,947,151,823,496,621,248,311,
440,292,987,565,442,382,011,757,292,224,912,748,922,276,275,243,516,118,376,
129,046,971,836,526,215,523,641,764,588,636,126,663,182,982,413,024,398,680,
569,073,541,087,785,729,659,453,662,248,011,673,633,059,510,738,656,231,498,
269,073,618,191,186,077,434,027,244,357,298,331,915,894,519,614,396,223,926,
998,595,394,853,599,101,225,967,028,781,821,501,784,386,984,290,974,993,557,
385,386,656,658,661,702,201,801,914,576,169,512,911,211,119,495,497,379,302,
561,782,991,969,273,178,558,504,827,696,928,662,852,209,092,173,201,950,558,
416,562,064,888,682,722,228,136,258,328,489,105,011,513,580,608,980,316,126,
118,226,912,449,399,024,775,157,467,466,243,167,757,254,391,464,238,809,518,
386,892,356,564,336,184,063,700,084,062,913,333,034,078,687,853,221,472,833,
944,640,825,578,007,164,707,063,696,291,995,874,717,411,036,119,429,929,973,
338,705,088,890,184,551,866,552,658,909,286,910,018,522,069,749,386,610,505,
622,277,673,071,230,302,422,807,911,506,751,980,595,841,596,042,383,292,993,
950,081,896,773,755,864,804,018,073,792,467,471,336,347,944,523,984,061,215,
544,385,541,026,460,238,399,046,250,062,657,933,067,414,271,552,134,808,986,
687,714,816,675,953,371,491,825,038,717,760,549,016,500,089,912,511,943,667,
822,355,660,414,162,253,678,332,541,061,965,286,624,032,729,464,905,064,328,
990,740,275,796,130,949,234,482,523,906,648,821,037,012,355,070,774,327,326,
759,147,467,507,452,662,385,192,141,749,133,860,558,678,042,239,772,534,829,
786,671,068,778,186,226,741,043,002,854,792,786,138,171,882,381,777,379,966,
324,568,329,330,507,011,315,193,156,520,919,983,210,298,709,062,122,105,747,
596,472,395,258,747,803,924,115,530,532,468,797,365,665,267,889,563,749,339,
587,596,973,548,459,742,706,019,454,450,833,034,473,343,067,323,836,834,842,
371,918,742,106,190,584,708,786,963,679,381,424,069,722,921,103,879,681,183,
102,123,394,636,470,277,955,047,045,348,336,337,603,403,569,463,285,429,516,
487,084,421,574,905,680,034,632,938,948,866,041,969,510,392,028,238,038,531,
659,352,913,383,811,077,071,305,264,753,031,414,259,497,037,706,749,783,664,
530,285,468,581,651,894,414,440,823,598,302,888,084,993,853,143,575,218,414,
631,495,939,489,788,324,063,194,873,261,229,198,042,876,967,015,666,655,361,
633,227,749,925,801,506,375,673,722,163,547,474,341,959,652,949,915,180,903,
717,204,983,245,118,392,992,444,409,148,638,786,393,367,172,421,020,323,667,
948,537,574,245,874,191,593,139,883,166,105,777,561,893,540,656,817,538,261,
286,820,933,457,394,247,432,648,604,869,782,651,932,793,306,494,432,131,672,
662,558,317,380,341,272,981,438,516,639,956,873,199,157,003,895,847,565,463,
114,149,537,636,683,146,932,674,325,601,248,148,123,378,613,342,340,147,769,
353,459,996,268,023,756,265,502,223,083,026,677,231,188,582,790,436,124,282,
187,661,560,680,023,840,093,780,366,926,106,743,096,558,932,399,305,925,267,
691,801,145,035,284,173,610,305,406,492,900,731,029,419,193,788,449,820,747,
595,195,844,115,106,114,592,409,272,679,867,827,829,748,555,281,989,241,337,
315,108,502,052,527,473,999,803,572,960,974,254,409,461,111,702,348,454,871,
380,975,743,601,717,294,602,442,126,534,904,149,360,861,151,058,813,422,665,
542,742,529,614,566,866,904,670,503,104,931,926,309,692,235,326,165,149,093,
513,173,928,970,352,568,244,705,472,151,117,975,436,880,090,046,460,141,245,
199,099,950,889,254,347,850,050,262,894,145,265,307,002,801,124,413,968,861,
169,321,829,254,076,277,721,786,486,407,429,564,448,649,944,827,118,032,935,
255,082,634,007,063,508,967,372,128,113,589,967,953,994,931,586,910,154,093,
220,973,706,599,523,013,946,994,421,864,265,428,043,557,202,578,597,649,877,
103,985,242,951,082,278,232,120,329,302,642,098,240,851,414,237,677,909,937,
271,592,309,439,811,962,262,119,192,612,594,662,435,262,010,759,413,447,473,
241,077,730,140,474,361,702,162,169,273,428,015,432,767,084,388,705,924,805,
181,847,735,194,418,492,002,752,936,589,197,263,354,192,560,775,906,903,890,
290,667,294,055,346,737,791,126,885,471,282,468,597,869,312,407,422,658,307,
985,284,945,353,962,796,441,332,905,653,290,170,818,293,062,799,528,839,881,
237,741,529,540,547,818,416,820,207,036,739,192,348,318,197,225,680,338,183,
973,405,078,354,366,943,956,648,655,181,767,098,295,422,994,053,290,856,991,
747,513,621,512,301,408,895,662,957,385,388,910,141,460,372,469,092,037,709,
874,220,987,614,668,767,923,287,520,722,559,493,439,592,762,302,063,316,109,
700,681,390,427,910,774,196,187,866,818,920,248,730,313,033,723,894,815,352,
027,195,806,988,339,952,517,012,394,795,955,808,057,775,667,326,308,175,466,
972,327,323,046,820,425,810,525,988,868,059,304,505,175,701,070,548,614,205,
532,556,764,519,872,942,089,038,666,146,198,726,717,083,989,128,031,553,734,
691,267,809,332,570,097,825,858,986,142,371,514,023,666,610,337,447,088,912,
123,533,005,626,472,419,326,041,435,697,656,244,061,342,573,404,732,102,285,
248,939,798,036,022,367,299,228,206,434,170,165,072,411,029,129,852,155,272,
491,916,410,843,261,980,174,342,098,637,236,084,536,176,059,070,098,199,493,
088,363,839,422,453,470,565,932,399,741,529,934,536,445,508,956,739,520,240,
874,134,084,256,754,414,671,376,562,190,217,974,432,086,927,665,963,570,738,
080,475,797,659,501,669,515,421,153,634,799,871,998,111,908,237,115,291,962,
526,068,286,052,685,105,184,243,530,261,072,542,390,684,922,630,839,982,357,
564,157,101,484,617,428,382,219,021,451,552,455,157,445,892,097,989,369,825,
198,166,040,675,529,104,489,088,416,676,723,972,947,164,781,540,374,271,265,
498,050,870,647,861,362,536,255,896,075,203,758,057,425,108,921,553,720,433,
233,556,420,507,885,239,252,324,215,851,749,374,288,454,773,839,491,538,609,
921,771,129,570,674,396,228,162,666,019,581,509,203,622,528,870,406,445,507,
830,218,900,403,131,636,796,904,850,405,754,359,426,084,240,047,518,542,271,
210,009,486,074,873,190,550,395,514,578,112,945,005,318,512,296,400,210,296,
754,432,032,359,967,254,476,420,232,769,167,594,928,194,159,423,031,773,700,
662,165,625,150,216,821,318,071,887,517,872,444,273,209,540,657,310,729,635,
432,233,194,811,139,947,189,117,605,692,049,831,395,858,674,593,683,033,955,
457,448,299,415,419,833,028,869,298,196,721,634,824,366,291,211,599,004,609,
560,558,625,104,047,578,974,962,878,623,126,919,570,241,582,513,935,838,782,
598,132,576,762,111,385,133,838,658,483,087,591,448,899,135,668,343,087,212,
220,875,648,834,258,490,630,299,388,717,103,754,011,005,199,441,975,827,957,
623,028,673,915,309,062,300,151,663,205,568,917,152,560,605,524,816,948,930,
567,004,447,435,555,861,926,463,941,145,173,456,736,902,137,155,151,252,007,
550,358,494,543,331,695,526,372,669,539,556,063,131,308,147,233,663,565,412,
967,980,380,462,527,174,882,192,238,293,225,106,500,953,332,686,524,151,813,
536,861,589,661,841,298,946,207,782,745,670,851,081,430,773,165,021,107,428,
735,009,611,954,155,171,374,021,619,161,325,869,575,667,252,505,394,389,267,
696,812,391,440,580,142,634,360,972,775,593,782,440,335,610,555,736,422,395,
299,342,389,558,870,319,333,617,502,770,957,609,205,001,544,658,233,634,294,
318,938,538,499,700,743,368,214,494,124,596,061,391,911,133,416,948,864,177,
654,030,391,573,376,252,886,139,399,480,399,986,160,092,805,258,080,544,228,
249,696,547,007,139,464,934,728,117,148,673,162,119,804,763,601,693,980,467,
540,649,798,685,334,315,889,956,843,895,579,770,673,092,250,360,508,247,787,
658,268,891,286,240,549,276,852,864,745,204,082,370,786,212,250,793,218,406,
379,113,302,631,004,954,553,984,705,295,443,859,686,814,902,076,156,825,248,
368,131,198,730,406,324,309,982,857,568,081,548,464,593,685,843,078,300,996,
761,900,475,916,500,477,470,680,847,850,499,047,847,431,518,600,010,620,353,
574,331,346,788,841,969,277,931,710,098,649,803,640,577,530,753,305,220,555,
796,402,823,281,489,466,898,899,852,051,492,427,979,584,130,437,007,211,404,
867,950,195,477,284,261,217,130,511,484,005,862,186,321,200,066,740,619,008,
865,048,237,812,113,230,044,607,702,858,937,431,667,563,546,269,796,413,251,
276,928,608,314,277,846,363,871,194,159,598,053,842,330,504,501,437,021,299,
373,076,196,611,927,257,125,991,249,467,830,144,191,063,651,072,505,140,168,
429,511,675,192,843,895,466,805,496,923,970,457,762,456,776,701,617,076,689,
374,432,133,294,743,086,241,669,927,085,586,103,963,381,200,910,431,859,870,
162,911,579,423,797,666,468,207,963,595,395,553,897,003,526,173,741,445,888,
527,346,933,476,857,825,540,886,541,366,167,337,895,569,674,924,619,445,709,
205,791,510,034,244,107,753,140,182,686,618,347,121,858,352,807,412,277,179,
407,401,645,927,601,733,877,082,536,815,256,146,046,225,675,784,683,933,206,
675,013,766,290,020,071,633,004,405,934,560,714,731,338,555,623,092,671,728,
731,131,863,655,016,090,222,508,435,621,302,074,350,200,046,124,625,623,178,
517,190,756,116,087,738,563,749,993,952,572,445,810,041,645,566,580,542,699,
743,807,181,010,294,101,162,634,921,911,819,474,840,616,238,633,434,432,770,
411,297,332,951,234,951,102,090,476,568,853,365,699,965,212,417,337,694,110,
529,903,858,946,148,861,363,881,857,492,860,540,494,637,594,275,316,620,303,
613,324,310,204,082,558,098,581,521,385,052,050,730,030,189,896,717,542,805,
877,507,600,256,478,092,585,120,355,247,829,260,556,286,796,420,875,645,463,
819,679,434,738,683,986,565,727,145,034,358,629,082,723,472,371,324,233,664,
886,339,859,351,519,183,821,046,768,727,156,149,900,450,475,838,639,856,853,
928,430,021,032,645,370,924,356,464,956,597,679,077,013,189,401,373,368,621,
261,401,816,043,400,595,849,648,867,072,841,412,660,151,879,117,960,044,934,
707,195,059,803,962,538,474,470,888,199,334,644,764,877,738,496,232,964,797,
797,590,406,113,625,364,295,585,519,806,352,672,058,564,244,153,686,083,500,
898,524,131,504,996,335,269,927,251,115,709,242,330,121,697,175,099,418,878,
675,317,994,300,160,307,732,173,930,964,340,992,515,208,510,791,604,087,075,
840,658,075,925,041,296,082,409,912,119,156,143,752,814,834,549,192,682,440,
195,436,562,804,341,312,530,927,337,865,022,735,276,962,485,848,190,722,186,
920,198,299,094,063,237,679,704,629,119,247,230,754,015,327,580,850,817,867,
586,473,154,560,235,137,022,600,634,068,814,651,899,584,963,704,229,957,655,
258,121,129,935,752,763,585,944,031,357,796,359,317,777,473,515,214,805,118,
238,330,494,457,470,896,443,050,157,128,194,789,913,972,492,812,155,316,053,
967,035,701,378,759,822,461,762,697,686,003,284,542,138,410,551,233,229,058,
887,342,615,799,525,681,127,067,089,405,519,395,966,053,339,945,891,381,240,
229,313,509,355,952,376,225,301,554,165,549,372,918,390,973,039,887,202,744,
670,552,549,480,198,838,335,133,856,500,251,459,400,977,946,754,904,912,708,
483,281,998,094,183,726,978,718,827,468,532,268,713,436,196,767,196,676,884,
696,296,016,310,278,573,668,647,952,425,267,648,536,366,714,293,480,708,513,
233,931,582,661,054,921,215,111,630,637,950,407,429,588,004,504,954,054,155,
810,247,379,249,692,626,616,091,023,290,324,061,295,431,706,995,769,247,536,
153,530,132,181,340,578,548,894,430,903,117,887,472,505,095,686,752,837,931,
873,460,471,097,509,930,509,616,017,663,037,665,357,984,499,848,529,034,390,
645,719,077,108,742,800,254,177,070,435,770,419,954,464,841,589,052,330,537,
419,761,436,544,856,437,360,047,959,918,613,604,007,017,531,247,716,984,666,
870,605,862,702,108,912,553,735,484,916,482,799,385,725,531,494,997,559,468,
465,738,038,140,543,170,757,360,389,223,413,798,544,642,437,805,175,973,853,
737,139,620,927,769,449,926,307,372,517,461,945,097,668,368,994,504,102,205,
417,754,580,509,037,417,882,752,738,429,407,447,055,423,027,024,446,883,367,
455,718,654,355,192,389,318,534,451,086,982,563,591,467,635,352,525,964,700,
510,299,144,831,223,106,195,835,688,844,939,929,734,814,239,758,943,044,022,
644,001,309,456,644,297,144,126,721,279,366,242,353,822,386,813,262,358,837,
083,981,129,433,897,789,874,397,088,426,091,353,136,188,217,576,084,400,722,
594,793,837,131,258,727,502,172,049,398,841,876,667,263,812,001,506,290,104,
593,230,673,612,193,104,756,912,499,405,197,684,322,704,014,472,918,579,479,
788,032,321,716,554,494,311,757,510,161,280,234,296,520,462,781,375,782,793,
670,337,631,069,378,094,552,072,754,725,920,873,319,417,855,803,890,262,066,
354,801,187,491,847,001,341,479,774,806,523,723,804,148,021,384,326,158,926,
927,111,013,472,693,730,265,492,203,143,549,307,028,356,588,677,879,515,944,
440,807,273,233,676,430,343,420,340,677,125,164,094,616,320,991,167,988,650,
039,895,748,957,750,890,004,325,194,025,591,926,700,289,918,781,978,945,370,
662,969,278,357,936,149,194,091,588,121,621,276,601,175,028,751,381,261,300,
200,575,255,892,208,721,760,933,127,826,655,179,762,476,477,910,787,417,390,
257,286,927,129,008,483,838,447,850,213,405,578,866,869,666,649,312,891,184,
674,808,304,591,635,016,328,623,567,156,274,218,922,091,234,664,976,557,258,
393,204,703,306,824,306,965,045,267,675,343,206,498,518,887,967,711,009,006,
536,027,689,715,997,552,369,542,559,989,500,787,075,106,451,729,724,518,462,
570,044,260,801,198,264,894,610,429,113,153,788,450,628,412,553,516,894,268,
248,017,608,003,652,007,572,661,266,420,407,368,012,290,710,426,764,628,801,
826,809,243,101,970,749,903,233,116,771,036,618,380,287,184,769,435,320,270,
355,299,381,727,420,880,443,454,278,614,185,998,864,068,966,945,255,241,078,
142,573,582,544,777,060,450,428,062,654,887,131,588,986,518,809,074,633,374,
310,333,786,949,405,743,290,456,129,337,379,332,798,361,134,963,966,152,653,
282,295,017,092,936,128,539,717,392,553,105,602,689,226,585,100,696,594,946,
610,386,324,551,508,159,630,709,161,469,021,670,622,933,276,540,153,931,887,
200,581,420,031,619,237,394,560,934,944,227,208,405,460,229,600,374,849,360,
667,328,109,646,686,666,720,512,827,627,056,404,704,623,232,324,429,589,396,
742,597,075,615,765,604,078,537,400,705,226,356,239,202,377,753,815,628,807,
085,233,469,304,679,709,058,832,425,777,968,356,143,577,834,716,094,876,022,
089,297,063,858,694,260,873,797,579,327,199,237,206,264,792,640,057,659,546,
868,341,761,659,437,644,878,910,074,269,353,665,121,542,007,231,305,427,417,
139,254,494,085,275,141,216,394,701,152,146,901,829,902,418,534,903,664,814,
032,510,697,012,789,374,499,701,071,935,588,280,178,722,364,181,892,914,793,
048,020,841,317,811,739,487,457,605,365,286,018,452,725,179,654,127,320,937,
403,823,270,325,605,805,136,133,004,971,012,541,348,011,589,175,770,166,255,
043,638,390,079,058,504,452,866,124,699,670,456,647,113,548,651,303,316,187,
392,045,115,775,600,782,806,664,162,047,310,601,868,488,718,886,834,766,357,
824,016,240,032,240,189,015,941,534,748,219,911,707,669,755,930,515,778,023,
286,528,003,867,991,626,639,854,128,787,125,110,441,915,564,583,779,685,865,
444,308,641,103,643,522,870,536,474,962,304,115,367,191,773,492,182,179,547,
874,942,679,866,038,709,215,420,729,632,736,274,086,841,303,436,814,115,832,
902,956,794,270,878,739,001,193,521,669,144,975,384,713,182,174,765,436,920,
499,916,021,823,335,017,337,150,900,405,961,649,014,351,350,648,243,941,323,
075,199,639,597,623,044,894,953,420,310,521,590,507,732,693,562,728,031,005,
693,181,786,310,742,285,345,108,042,735,088,579,362,612,299,482,681,132,650,
723,076,981,380,580,778,050,828,211,032,948,739,495,816,022,484,540,903,972,
991,719,164,215,267,204,234,608,177,437,810,358,589,745,987,702,536,154,366,
305,511,899,215,657,575,568,317,703,182,273,546,957,545,280,200,461,038,180,
795,161,989,812,381,641,248,236,919,934,032,114,390,489,599,547,370,420,864,
310,954,554,760,395,882,654,425,274,451,927,372,596,049,304,459,892,681,574,
416,305,392,546,161,640,804,923,464,832,236,051,923,663,437,839,803,849,870,
635,735,566,983,001,082,722,948,828,773,032,384,678,089,135,061,284,645,707,
611,745,123,752,020,834,403,298,838,930,932,466,027,593,902,000,187,469,475,
913,196,331,170,958,373,704,458,191,652,957,507,110,126,978,001,571,193,033,
102,317,376,430,345,776,736,200,742,117,360,039,332,184,960,260,775,237,476,
547,561,106,593,139,453,640,380,606,182,742,162,042,707,080,091,156,101,727,
422,586,586,974,454,584,914,630,811,572,674,365,935,247,186,786,027,503,623,
590,165,683,568,714,993,926,555,341,141,939,636,469,465,167,167,050,201,050,
237,215,205,235,651,599,338,720,308,178,400,242,843,076,360,779,771,326,401,
082,602,110,970,180,189,355,856,078,821,120,488,688,371,778,111,062,936,116,
256,840,145,356,492,307,377,654,241,318,548,841,418,388,992,760,498,521,228,
351,063,940,404,467,719,509,123,633,488,626,279,638,967,587,427,710,605,692,
041,898,092,491,594,085,583,593,644,283,123,018,732,432,238,503,614,726,085,
865,274,995,227,211,140,870,041,557,499,207,912,084,080,022,121,524,548,099,
137,265,474,094,912,032,766,745,124,265,040,132,103,673,453,372,078,446,229,
369,576,422,590,617,403,765,631,608,340,846,595,499,017,874,935,338,777,686,
650,549,300,018,795,462,135,569,126,248,692,540,354,878,424,991,222,147,760,
683,214,942,178,178,078,085,963,116,521,912,166,664,631,363,903,528,742,912,
296,418,224,164,509,019,319,233,216,817,689,436,576,266,034,343,870,341,663,
248,567,360,534,742,008,721,737,148,107,635,227,314,289,816,159,274,376,907,
144,930,221,783,847,402,057,916,652,385,569,129,182,433,884,681,801,606,075,
957,514,769,598,937,452,464,854,924,219,912,250,614,890,273,687,037,099,979,
372,992,949,437,116,131,036,869,039,340,737,476,086,258,386,221,930,008,691,
963,640,519,828,737,821,266,468,126,433,814,307,616,361,057,759,647,109,633,
205,108,099,223,027,475,253,777,842,497,893,262,449,967,308,288,919,667,924,
641,372,846,118,214,970,256,894,087,752,723,511,957,643,092,452,360,551,061,
526,032,964,955,207,378,365,395,219,416,320,342,647,155,342,409,253,931,779,
589,873,128,772,378,260,227,490,573,443,653,352,646,662,116,649,830,224,932,
769,840,967,369,881,057,543,252,952,004,815,060,154,095,378,021,180,449,881,
026,717,562,185,592,903,458,448,213,389,731,641,144,054,292,482,831,680,046,
932,538,705,622,883,631,894,497,003,957,874,442,725,731,367,255,827,640,501,
307,154,502,226,897,983,520,566,514,459,543,123,592,964,419,242,940,060,543,
119,025,842,609,404,434,273,234,377,978,806,587,051,609,255,429,648,641,667,
829,669,433,225,644,694,668,937,820,865,432,467,851,113,848,562,330,736,069,
242,074,023,652,417,608,903,826,370,240,686,100,726,982,459,876,906,132,419,
353,811,540,567,183,681,530,033,930,632,425,089,651,316,053,721,776,397,814,
344,474,445,540,176,383,079,887,024,863,549,349,346,648,642,354,233,130,642,
566,349,377,512,415,389,538,266,942,000,527,177,164,619,370,373,759,944,203,
304,249,867,013,888,448,255,321,435,527,268,046,099,897,615,200,613,038,675,
539,143,983,883,439,271,588,505,711,508,183,144,599,789,161,631,307,846,694,
604,148,160,816,778,271,473,960,780,323,500,211,811,907,716,970,897,902,988,
560,914,825,678,275,567,438,343,427,398,321,533,531,788,364,337,687,289,609,
815,507,823,873,845,585,532,090,083,961,679,840,696,816,966,194,889,028,348,
216,229,029,751,255,228,917,754,886,774,720,028,954,409,734,802,022,773,081,
248,944,869,669,132,456,084,493,079,641,779,684,909,208,101,663,825,403,392,
188,371,100,473,706,386,546,014,954,846,813,148,249,841,995,057,169,505,521,
705,263,839,431,646,471,257,194,548,980,218,953,376,186,815,318,636,927,574,
022,595,665,411,261,703,541,184,495,249,272,125,395,420,688,561,630,336,783,
687,575,687,743,980,076,154,849,921,424,391,325,534,824,025,111,005,985,306,
650,666,976,421,783,174,955,279,072,368,685,554,903,863,894,206,176,470,575,
984,317,164,058,960,537,739,558,569,179,996,454,388,237,806,942,538,686,228,
724,320,678,618,789,895,904,451,232,967,036,523,000,463,175,865,572,197,172,
259,347,065,907,135,440,906,071,862,931,889,240,974,484,602,225,751,728,886,
482,133,416,100,282,413,973,844,317,175,156,799,242,106,019,426,410,130,093,
103,214,321,387,002,937,126,791,156,809,325,272,842,604,272,330,303,632,924,
496,869,476,250,796,088,565,800,368,880,201,176,190,202,739,728,240,571,180,
234,064,102,341,161,480,064,231,343,571,300,833,312,860,855,818,547,965,155,
950,510,910,130,224,756,881,933,288,038,530,186,251,409,637,622,341,795,850,
492,071,634,164,760,986,667,916,871,218,884,497,108,383,673,584,092,351,352,
099,233,163,781,133,368,958,387,186,052,756,552,277,155,322,252,475,269,596,
143,812,427,078,604,571,555,513,038,112,182,660,614,131,024,119,998,328,120,
868,074,195,733,075,962,236,811,791,963,806,460,011,416,579,581,476,742,626,
693,301,908,638,857,383,050,317,688,723,266,789,451,927,462,484,128,128,738,
158,053,701,674,619,536,890,881,270,032,617,788,359,808,556,849,945,288,561,
968,930,071,788,623,323,249,909,747,763,629,661,427,966,878,774,353,682,802,
630,327,723,621,223,635,114,363,653,789,145,300,684,372,293,151,787,480,191,
926,657,632,247,072,921,478,948,999,043,167,294,669,898,574,950,606,195,816,
137,599,851,136,320,941,198,353,873,879,484,247,900,695,455,474,053,464,233,
624,100,603,336,865,278,457,333,411,413,001,395,055,278,988,488,106,581,390,
545,794,837,245,636,456,720,961,929,467,622,204,495,851,299,262,735,893,489,
059,124,349,599,928,934,295,606,149,488,858,382,546,825,986,494,064,257,417,
958,705,978,191,190,916,573,625,691,166,086,924,845,260,074,527,323,231,483,
555,830,729,874,283,847,663,077,948,682,440,813,076,489,197,823,210,843,940,
834,594,168,436,300,432,263,073,854,448,390,310,311,883,548,491,235,945,623,
082,190,337,202,288,522,036,904,051,633,966,969,048,860,429,842,546,161,396,
025,235,873,298,526,920,619,678,495,443,120,165,517,565,474,083,291,533,553,
979,698,995,328,470,719,595,080,452,975,580,644,224,531,506,020,498,551,663,
432,863,225,883,875,538,601,870,950,853,007,095,608,820,606,012,514,477,470,
041,653,898,923,705,530,876,088,217,947,036,796,111,106,607,530,475,022,851,
589,596,375,766,621,310,148,246,301,954,138,099,020,995,035,120,418,251,684,
572,875,086,024,977,871,186,084,508,834,555,196,109,244,020,301,302,688,414,
678,903,783,594,209,708,677,004,112,038,886,103,199,753,459,845,071,478,743,
570,829,616,099,050,511,824,619,076,446,615,111,581,691,114,435,908,698,519,
306,550,508,550,602,122,042,816,559,335,504,134,260,093,580,014,363,994,195,
970,519,742,052,580,792,416,298,570,108,233,749,346,684,406,066,917,368,325,
798,757,331,704,813,103,574,995,790,346,782,644,446,980,044,618,006,115,056,
672,873,831,493,214,712,758,388,939,026,178,655,964,216,073,959,853,045,667,
582,541,359,450,531,845,445,081,196,803,034,555,330,680,101,752,720,260,046,
169,683,377,942,823,973,175,242,629,445,672,043,262,265,344,694,256,136,503,
543,484,060,193,970,772,470,159,900,565,572,370,359,610,100,466,488,237,532,
353,073,233,334,057,582,662,098,316,267,918,206,508,118,626,369,177,430,316,
597,795,595,663,287,957,752,651,240,133,055,541,160,338,265,033,170,442,281,
194,080,588,411,322,704,115,652,320,314,538,329,654,202,414,613,954,420,496,
776,458,552,594,994,171,384,855,472,646,279,608,930,964,311,308,690,470,884,
465,035,825,528,040,252,592,975,422,027,847,875,038,125,903,375,107,448,134,
673,496,132,238,784,320,851,937,172,029,456,354,297,639,867,422,366,069,750,
303,331,262,987,658,811,887,318,025,422,756,868,845,603,999,406,921,899,031,
244,824,746,173,251,060,656,901,681,761,618,119,635,254,585,653,188,361,191,
480,486,858,848,874,327,151,169,122,803,086,011,752,835,191,048,081,057,932,
028,453,828,110,218,174,008,852,025,370,233,815,896,185,393,937,751,058,819,
348,730,986,347,272,564,019,212,930,146,110,243,959,966,122,842,623,581,234,
112,899,858,173,854,533,584,743,659,931,873,987,545,494,138,547,964,357,745,
127,094,457,566,950,100,610,068,967,786,087,263,178,639,843,407,947,960,436,
980,755,940,927,421,982,951,894,881,905,623,336,325,989,662,780,782,078,766,
026,036,735,768,148,628,388,523,974,788,499,211,243,386,008,747,684,533,936,
326,718,415,579,026,621,247,361,244,482,058,997,419,244,505,905,725,198,996,
627,518,624,960,947,191,180,183,813,416,692,197,126,169,953,747,639,796,793,
019,714,384,428,010,481,511,023,966,539,413,255,721,806,362,051,191,692,790,
771,123,184,516,153,254,734,223,377,893,769,919,562,090,991,026,775,943,860,
187,924,828,722,609,312,224,770,705,315,081,008,456,703,078,125,780,762,387,
479,717,457,157,278,500,289,654,695,777,013,599,499,103,661,097,210,769,878,
777,484,859,584,387,117,635,169,407,958,878,639,523,424,828,741,998,655,099,
313,312,241,155,852,945,985,269,116,437,856,509,398,226,918,137,243,977,012,
372,182,871,712,449,866,616,693,012,746,741,702,569,943,197,392,481,262,175,
072,824,507,922,810,606,109,095,437,262,023,365,493,154,758,008,658,777,421,
800,212,482,086,096,217,424,316,968,084,105,590,018,487,071,461,901,777,936,
666,438,958,437,250,928,075,904,132,515,509,560,866,977,405,865,646,622,288,
862,645,717,355,719,236,267,128,156,467,851,988,440,828,431,073,388,168,882,
741,074,030,143,553,780,355,717,311,930,027,800,034,695,982,747,285,004,047,
699,765,897,814,517,524,005,822,352,223,556,047,268,212,197,947,369,955,678,
942,451,058,942,235,659,573,269,331,100,904,879,640,224,912,868,875,244,361,
830,485,837,712,870,036,919,560,872,467,522,113,805,088,372,308,717,742,005,
877,445,065,309,133,737,829,932,641,310,073,001,862,570,933,319,894,428,068,
730,109,053,605,602,259,111,546,107,988,269,931,021,344,756,301,292,097,257,
480,964,523,438,944,969,987,376,048,696,704,104,567,674,405,256,555,788,174,
152,765,339,992,991,735,210,020,336,631,022,097,171,077,553,950,857,830,916,
399,661,274,694,405,921,110,437,278,714,031,273,006,987,138,724,706,160,033,
254,650,490,420,813,705,110,782,268,497,497,545,222,420,845,069,915,994,160,
403,379,456,889,677,080,455,357,577,079,776,936,859,056,157,472,037,520,943,
568,211,018,268,735,734,730,387,026,440,652,293,461,280,423,851,234,558,184,
158,014,648,307,819,160,067,431,212,240,005,572,670,761,851,706,212,037,186,
361,663,643,943,137,961,501,138,674,164,450,820,968,606,668,401,735,711,133,
452,164,664,137,609,156,606,286,073,520,426,656,018,059,758,703,871,107,646,
570,370,354,508,839,236,230,729,516,014,535,058,490,691,742,083,860,090,957,
413,256,103,701,051,968,594,360,248,638,632,377,430,148,085,059,715,891,564,
888,778,330,812,863,539,183,714,096,353,660,824,216,305,662,821,644,771,854,
267,099,014,569,831,060,624,033,849,861,463,755,474,248,039,481,387,530,358,
519,886,937,991,614,794,055,082,715,488,965,117,751,792,828,112,090,251,123,
804,207,576,276,861,248,699,543,910,865,954,445,811,781,860,742,344,413,102,
388,374,894,207,246,630,563,281,871,393,389,178,144,226,052,649,116,843,065,
018,487,568,368,023,890,553,881,539,008,512,254,663,788,133,331,878,500,367,
967,579,520,782,901,892,766,069,518,963,252,954,063,850,384,492,834,174,993,
596,444,137,139,927,050,152,634,857,371,827,513,615,023,568,297,520,226,594,
348,705,089,557,883,140,288,237,211,072,388,938,471,239,710,161,080,600,953,
550,488,476,910,606,403,221,937,640,843,900,316,252,274,511,171,582,213,808,
174,804,815,262,714,043,548,152,233,455,504,835,658,253,098,764,566,474,881,
220,593,327,476,633,654,116,791,904,216,168,980,719,754,648,215,651,211,158,
424,388,909,432,492,270,227,297,794,179,584,189,608,923,847,124,730,976,552,
711,749,082,257,719,032,608,210,158,948,177,176,654,605,269,156,476,090,676,
174,459,113,877,035,073,195,996,785,147,087,652,873,124,382,713,671,778,466,
956,228,323,253,001,499,065,692,095,425,830,062,763,252,837,198,155,839,473,
931,713,749,833,153,415,872,016,371,865,672,777,796,341,500,173,399,581,505,
532,953,856,030,054,304,736,390,294,269,389,805,085,090,950,075,864,224,332,
570,565,139,113,469,433,724,581,645,562,377,092,725,948,925,762,137,813,424,
742,522,496,786,869,506,995,506,915,367,391,194,816,286,970,192,581,148,225,
090,217,088,844,511,894,791,323,119,195,777,084,462,372,982,480,335,710,120,
641,313,333,469,497,718,763,855,666,941,720,540,358,725,935,263,488,701,960,
672,685,660,368,899,879,187,522,215,172,517,382,824,292,300,303,977,312,849,
479,136,386,231,036,015,570,585,345,524,911,901,600,040,709,825,530,200,591,
884,619,576,600,859,334,513,281,215,545,312,247,913,987,927,265,622,793,072,
187,837,495,295,705,684,730,322,825,927,079,204,212,541,214,541,192,304,624,
175,771,822,367,538,433,345,941,616,008,606,078,485,273,900,634,463,417,331,
029,207,684,038,941,373,737,841,620,820,180,275,029,329,410,880,231,807,143,
386,039,531,162,843,442,529,835,417,513,635,403,960,126,630,484,674,833,305,
342,975,278,405,491,038,120,449,839,588,398,510,512,527,617,773,600,521,396,
201,297,024,110,648,553,727,430,574,976,343,982,430,211,662,530,626,461,379,
393,067,927,630,332,704,359,213,440,676,705,671,270,746,394,801,250,138,158,
356,375,460,571,454,144,141,046,025,020,649,539,681,521,627,632,443,750,913,
245,532,559,323,058,738,082,927,882,330,739,193,046,007,981,059,696,429,736,
928,912,926,320,601,984,917,202,733,176,639,328,672,274,566,499,295,284,887,
898,981,117,243,844,803,142,874,314,827,677,496,296,505,501,332,791,724,237,
122,494,835,728,419,201,658,436,192,077,391,788,454,337,099,299,509,048,643,
657,169,537,373,988,301,816,275,594,492,003,650,447,039,268,939,054,163,234,
090,350,007,235,420,351,495,299,589,225,366,441,300,932,755,899,640,031,220,
796,477,421,926,114,015,348,134,327,410,353,184,661,039,693,340,087,758,045,
415,259,561,010,532,300,608,141,131,876,076,035,921,168,744,939,201,715,155,
407,352,233,238,668,508,539,597,319,151,970,662,474,749,461,897,967,141,906,
050,964,935,306,891,815,613,378,932,728,599,399,823,815,415,830,632,196,194,
822,972,858,509,951,932,585,880,690,522,207,638,318,152,646,744,936,630,331,
871,919,158,340,831,647,792,508,863,548,466,279,585,147,459,198,911,558,489,
449,891,997,378,584,930,648,687,669,320,730,650,246,386,759,553,471,553,645,
686,193,962,817,803,714,762,612,767,066,714,965,337,355,298,306,775,004,870,
854,138,675,936,118,770,869,178,935,869,059,128,339,217,438,044,785,530,658,
349,944,430,175,447,951,285,189,544,633,619,725,234,169,305,250,791,094,235,
958,819,984,609,534,992,023,767,379,074,404,639,383,792,635,640,822,519,862,
050,252,660,556,756,981,981,161,129,173,284,652,617,348,960,733,276,399,416,
179,156,581,100,451,432,328,063,313,676,232,757,455,448,119,042,677,925,076,
045,088,266,338,673,006,725,200,421,731,895,074,765,044,318,133,860,991,456,
253,850,258,076,915,945,555,944,650,214,322,341,352,588,692,692,177,608,611,
700,570,527,754,431,423,829,717,526,346,126,293,732,362,827,113,063,330,535,
745,444,185,487,398,671,899,822,670,951,175,907,244,672,706,785,903,297,194,
082,198,548,730,910,089,292,609,065,045,608,418,893,233,205,195,407,548,262,
395,877,161,535,983,188,828,614,498,746,583,249,498,214,929,370,658,151,338,
281,137,856,243,718,423,154,330,507,436,500,480,641,928,681,411,458,997,452,
782,856,001,912,404,309,620,427,808,379,485,076,053,014,284,151,840,378,477,
430,161,911,713,348,887,611,694,766,848,249,114,235,189,943,413,670,170,436,
946,401,376,041,268,654,013,180,257,881,837,228,004,267,130,795,628,488,736,
192,002,142,754,913,036,234,194,121,989,686,440,337,353,549,324,247,206,751,
190,536,108,020,991,800,554,274,331,897,003,174,679,684,916,133,360,583,637,
433,372,935,018,623,109,483,046,809,136,620,733,853,245,279,906,371,668,244,
773,441,783,285,522,403,363,274,243,497,271,975,633,894,912,394,793,800,519,
244,391,721,033,871,267,161,622,928,372,019,278,587,281,816,426,662,428,443,
619,847,807,052,786,678,799,611,134,669,831,047,819,382,390,753,648,522,860,
971,249,542,766,859,516,652,415,237,195,572,832,759,142,373,389,423,665,482,
119,369,337,901,197,831,432,867,884,101,114,997,718,660,536,429,179,070,372,
439,950,200,461,459,361,620,425,804,404,418,745,640,093,072,526,197,024,586,
727,134,511,153,204,643,870,819,747,347,518,102,840,915,964,972,002,645,433,
166,959,591,516,198,106,579,196,384,125,557,643,652,211,140,815,596,046,941,
300,583,111,937,215,300,779,405,443,904,677,225,832,754,170,685,008,764,706,
267,250,484,012,688,813,679,641,252,297,312,321,570,629,639,918,763,583,721,
967,587,790,660,408,457,403,660,195,440,567,551,852,329,300,865,440,568,101,
391,650,087,993,170,312,785,475,191,769,905,847,340,290,288,754,198,064,322,
408,648,347,015,307,385,121,323,880,839,280,003,611,527,036,528,957,158,680,
443,155,049,950,274,503,739,157,681,496,836,992,204,124,723,550,469,751,254,
854,545,891,158,726,243,386,727,356,344,987,040,258,360,304,159,464,072,445,
810,384,892,006,655,637,643,978,095,102,101,932,756,258,905,796,837,132,927,
172,690,656,920,059,787,843,332,267,014,994,056,095,178,010,978,611,543,939,
758,391,775,442,494,679,899,289,512,181,785,956,613,672,995,410,754,232,259,
591,541,985,115,727,587,329,386,742,747,918,198,681,148,418,319,838,845,798,
559,764,282,281,450,492,856,281,816,166,533,413,961,734,647,400,856,588,622,
645,467,528,682,613,280,186,341,136,452,871,067,281,620,928,618,117,097,503,
562,852,465,546,624,183,081,463,694,131,519,158,400,385,141,672,528,904,078,
093,523,428,490,283,545,334,409,171,001,350,714,957,262,459,926,538,608,855,
473,522,166,920,270,359,518,619,750,463,283,535,500,153,600,897,616,614,136,
254,470,184,212,444,921,511,884,030,482,805,110,329,497,056,890,771,338,613,
156,872,671,386,326,358,186,191,242,910,716,424,001,797,409,462,684,972,001,
882,692,898,854,517,292,143,691,141,715,071,861,974,010,219,884,258,055,304,
725,416,093,680,986,305,514,614,398,998,189,871,749,372,300,987,759,593,120,
614,905,846,990,927,390,105,417,051,004,394,662,271,968,557,945,325,546,222,
418,265,957,343,795,233,504,349,135,294,948,301,892,527,724,327,995,105,322,
920,763,791,887,238,228,837,702,719,770,473,960,453,540,969,435,662,076,866,
376,129,999,366,297,424,701,088,032,677,814,014,820,213,889,269,661,141,013,
904,253,429,992,864,413,738,915,585,659,700,506,130,152,761,649,601,880,790,
203,012,644,213,750,787,528,233,079,768,225,550,081,351,619,097,036,139,082,
308,812,641,730,628,722,815,650,352,483,642,086,002,692,724,486,468,746,533,
314,650,791,273,617,583,323,534,342,273,935,923,060,512,436,870,046,055,332,
685,580,456,872,323,971,032,101,105,457,538,242,876,065,307,320,890,919,828,
103,178,985,964,590,967,792,121,497,459,694,020,739,456,216,351,805,904,752,
213,822,878,678,728,485,063,067,580,854,161,143,139,633,473,158,364,965,732,
691,815,804,046,692,095,682,104,369,696,792,122,518,154,433,950,221,409,516,
342,388,496,851,162,328,495,347,583,138,601,616,177,884,506,813,096,110,909,
333,832,981,548,670,469,790,130,158,303,966,039,160,504,976,484,503,754,694,
283,877,687,168,896,118,930,407,706,553,590,203,735,696,463,448,310,938,015,
430,439,260,291,483,432,060,258,885,122,486,347,264,050,689,298,910,789,030,
466,937,341,927,553,858,926,156,049,915,815,833,929,281,849,649,215,026,101,
698,200,356,400,960,824,279,841,747,224,615,175,080,946,476,668,499,169,267,
562,613,830,000,700,069,133,706,269,593,364,239,594,560,062,856,120,107,458,
707,135,327,531,602,903,491,949,574,900,862,977,256,093,370,628,496,713,619,
763,063,447,870,822,244,198,214,717,955,920,554,059,532,767,524,009,862,679,
792,779,484,557,012,262,399,517,585,053,706,566,370,843,505,531,243,951,842,
983,401,790,928,025,925,295,636,543,525,820,130,188,866,149,924,624,485,596,
670,817,509,635,249,116,799,745,125,238,452,664,959,594,464,828,210,584,762,
925,089,391,874,333,073,520,305,666,608,095,060,014,157,089,127,621,068,075,
700,069,877,054,824,581,646,828,085,633,163,076,716,938,222,113,259,386,358,
644,367,792,262,346,718,501,941,201,113,588,359,952,420,682,763,343,426,961,
394,098,107,308,596,849,174,296,107,807,738,846,893,609,271,248,531,500,676,
466,073,392,387,336,405,756,353,799,744,678,378,133,885,938,041,186,589,519,
402,828,856,449,819,147,701,817,090,770,348,974,064,651,810,496,689,113,418,
300,277,510,677,768,706,502,223,524,661,732,788,570,887,614,799,780,227,259,
229,411,550,745,315,937,868,177,955,216,214,338,328,737,879,777,955,785,563,
227,949,946,431,759,751,250,718,205,854,387,643,946,999,143,255,103,862,810,
635,874,173,864,819,255,707,588,255,019,173,726,788,180,314,273,649,595,951,
477,555,577,178,846,564,582,827,788,801,992,345,123,204,437,828,661,263,421,
983,643,185,388,076,941,740,165,940,470,567,154,696,685,572,547,911,000,198,
942,543,168,189,111,991,357,103,862,107,804,505,787,615,862,282,605,787,065,
088,385,086,850,985,750,052,239,889,563,175,989,193,739,395,812,515,899,321,
282,334,752,648,130,865,457,949,123,679,912,800,782,751,016,477,572,952,004,
864,252,959,764,688,090,772,563,845,267,764,600,152,066,467,251,130,582,755,
224,497,073,683,176,368,878,332,326,667,975,508,517,200,815,553,817,908,382,
037,625,888,447,840,843,818,081,939,691,238,230,004,138,886,773,133,339,690,
189,844,706,338,195,761,720,287,617,427,080,175,813,313,775,917,365,775,965,
971,264,509,167,551,189,010,156,420,343,854,148,444,910,788,043,502,232,560,
153,755,318,778,921,264,155,312,015,718,131,923,797,146,937,766,300,657,000,
590,317,532,962,287,131,921,673,550,073,424,780,076,837,922,069,974,436,423,
934,654,439,854,655,248,846,579,649,648,940,418,934,862,067,703,071,158,942,
249,540,635,973,985,484,836,735,400,448,640,939,706,521,207,084,324,264,456,
612,922,610,558,674,302,729,863,171,030,927,620,255,287,361,008,008,515,878,
762,843,482,747,011,244,223,842,405,464,515,819,305,629,597,856,443,781,828,
210,690,584,954,568,652,762,384,279,754,116,692,154,820,606,067,199,800,717,
287,247,371,184,617,221,777,375,054,508,229,257,737,924,211,012,370,133,675,
311,509,252,862,134,662,786,339,990,334,240,578,396,491,112,575,486,119,519,
032,514,823,872,536,247,945,850,028,028,670,918,112,668,783,641,405,732,236,
821,419,606,609,084,992,878,777,686,606,094,068,937,343,639,944,208,304,927,
567,407,603,669,896,088,541,451,973,467,776,241,039,057,268,472,044,030,233,
082,099,203,801,645,612,902,004,677,086,641,616,237,013,712,051,444,280,829,
671,961,277,855,841,260,086,099,832,050,360,142,552,571,993,978,911,535,505,
761,569,265,860,856,445,023,977,204,571,203,446,803,779,805,310,445,720,600,
064,241,337,385,932,450,364,433,748,150,879,124,155,015,216,067,130,879,677,
886,024,659,552,579,831,981,805,071,325,728,738,435,499,323,338,476,516,969,
343,363,464,668,911,321,785,336,511,702,712,248,352,888,789,082,770,185,985,
527,522,444,918,386,051,029,784,308,181,774,457,699,889,243,701,144,707,295,
373,805,475,868,977,112,799,219,720,363,477,975,982,229,619,526,304,549,495,
762,995,516,823,208,825,877,712,659,733,741,565,746,755,494,069,285,646,584,
718,156,771,166,623,153,006,283,364,641,930,870,462,300,408,864,412,812,389,
550,876,164,601,798,632,125,566,429,219,454,951,587,503,764,419,274,921,425,
805,422,655,085,540,190,397,015,743,367,981,118,458,015,926,836,198,623,663,
288,416,211,194,768,453,962,881,723,736,132,614,960,498,232,735,255,770,755,
833,133,328,963,118,577,333,863,018,160,547,608,459,020,675,125,421,424,458,
455,450,082,133,898,144,924,468,535,390,920,984,861,299,787,547,923,070,948,
479,701,943,378,518,231,705,943,837,157,520,028,331,656,514,123,378,835,734,
251,889,929,069,718,340,407,011,946,159,855,973,266,799,940,969,836,640,815,
484,881,882,679,707,055,026,948,341,956,268,312,270,104,978,222,088,099,053,
957,916,001,566,803,442,389,266,776,586,175,273,373,699,431,476,910,263,452,
638,107,763,807,876,150,069,554,365,199,483,176,662,127,890,853,626,540,578,
472,372,944,186,696,296,976,889,959,652,641,935,191,333,017,843,907,561,415,
403,352,888,569,928,474,529,476,474,735,974,275,271,744,690,335,481,426,231,
324,734,674,209,081,143,395,619,565,067,642,721,562,062,521,536,301,247,714,
119,906,918,876,120,090,571,606,818,683,358,158,130,768,632,590,744,063,787,
985,232,504,232,394,019,518,780,422,012,638,489,138,182,511,507,876,785,006,
405,224,289,539,838,660,081,586,121,563,803,758,634,539,414,313,749,951,125,
821,610,506,794,377,089,876,679,947,284,777,990,294,904,918,990,857,525,631,
336,384,120,471,435,821,058,100,649,207,716,319,099,318,805,419,985,604,672,
050,727,983,220,916,163,388,807,656,099,594,966,141,194,706,585,551,306,024,
799,772,884,928,095,676,438,995,426,320,499,124,506,036,805,796,645,719,632,
642,101,334,952,316,938,504,524,656,148,089,356,888,663,065,043,021,503,205,
251,411,829,537,655,678,831,624,320,376,367,149,157,223,802,293,844,468,998,
721,897,999,549,422,436,896,089,782,753,231,240,780,214,881,172,784,892,012,
520,385,983,515,752,479,939,435,852,299,785,933,880,288,219,102,906,072,280,
485,285,671,066,084,084,816,326,951,934,580,868,185,672,833,165,555,924,671,
134,273,718,331,615,210,522,947,990,495,292,043,980,239,079,511,348,688,785,
380,129,258,689,377,630,950,231,545,110,612,532,734,566,884,544,019,210,722,
758,287,869,607,062,985,109,590,409,182,065,581,508,813,542,245,654,580,168,
998,241,211,384,427,572,918,218,063,468,082,719,050,033,636,661,728,277,256,
600,157,225,913,069,061,760,287,775,201,741,732,993,314,594,211,302,691,713,
193,578,849,427,422,455,485,884,201,282,229,161,987,247,353,514,456,753,102,
793,373,382,024,163,915,965,986,579,366,962,208,079,630,870,147,232,424,358,
973,847,662,650,688,719,396,429,226,689,457,350,907,126,254,108,506,316,696,
080,103,273,699,382,639,947,745,604,783,898,164,686,439,147,298,785,161,742,
722,422,915,132,956,764,464,314,139,279,307,493,069,641,196,073,728,696,633,
059,012,589,965,948,293,728,374,444,314,905,822,837,395,489,025,649,031,510,
875,435,110,154,198,213,418,557,646,035,743,207,247,440,365,272,379,477,889,
645,334,329,251,451,453,866,027,842,256,511,523,977,291,986,738,747,128,624,
934,368,527,180,613,271,636,554,700,760,449,944,132,795,173,114,572,907,129,
849,083,540,551,717,150,352,129,023,510,300,407,424,252,815,900,406,694,100,
469,926,967,203,728,777,504,357,207,142,638,211,263,726,524,244,061,801,815,
553,011,868,356,162,389,411,376,863,091,504,791,461,012,596,339,768,328,895,
036,707,638,388,671,989,909,583,887,218,419,418,045,702,116,086,128,985,443,
566,667,205,933,311,563,115,717,535,800,176,935,123,431,376,245,285,654,979,
860,829,522,762,187,539,691,173,266,533,496,895,785,328,115,394,826,297,366,
671,881,868,841,932,165,671,645,817,658,945,879,232,253,070,338,476,284,049,
187,020,100,210,601,944,350,681,832,634,890,849,417,291,834,802,896,834,303,
806,047,466,878,507,223,791,633,351,782,972,521,515,501,627,945,967,429,499,
217,900,909,777,656,331,254,303,483,238,532,166,708,005,121,719,305,004,476,
595,590,156,897,713,307,629,042,724,183,791,118,381,636,538,857,310,803,817,
979,671,205,500,911,445,380,705,432,673,801,059,624,201,554,201,179,217,028,
024,203,388,665,633,422,214,454,564,916,423,320,659,648,474,692,275,208,971,
350,153,723,497,818,234,303,275,612,313,946,291,054,366,410,502,327,837,019,
312,859,674,405,122,884,435,800,003,693,538,162,237,144,691,043,693,853,968,
580,634,082,899,065,518,637,481,152,614,730,503,483,891,515,258,694,292,750,
219,144,653,598,489,103,804,609,856,954,410,033,535,130,603,589,730,405,050,
346,123,542,816,462,960,268,616,192,728,608,168,596,041,126,310,418,107,718,
906,262,997,613,488,372,365,986,528,948,265,334,095,078,294,461,938,220,194,
350,326,043,267,720,160,940,402,955,156,241,431,320,609,334,518,790,753,397,
658,196,430,221,867,577,495,289,446,095,804,109,672,932,875,739,215,446,580,
697,582,610,943,773,351,172,863,126,070,383,621,057,625,674,131,970,712,056,
073,279,781,610,986,006,457,214,591,600,748,801,235,193,783,742,129,489,485,
816,143,206,658,803,079,444,044,722,026,941,183,479,815,941,325,357,388,731,
893,453,755,074,120,270,876,295,135,882,969,354,119,001,182,314,451,960,136,
508,391,735,408,788,933,387,753,857,134,280,295,514,974,323,640,238,120,509,
426,327,947,027,220,912,975,520,472,277,691,256,617,925,606,557,348,000,167,
765,023,566,314,602,656,025,253,928,108,038,025,973,155,093,075,830,575,108,
744,674,125,283,310,220,186,567,720,136,125,859,637,967,935,772,287,671,628,
019,198,732,153,929,356,860,441,765,939,203,569,231,209,386,685,388,088,980,
519,119,699,171,981,285,443,615,366,333,253,304,378,357,181,136,380,917,580,
808,101,347,520,000,002,324,695,639,806,938,901,942,522,554,833,608,976,879,
631,473,796,762,491,393,368,954,444,805,667,283,409,838,543,863,662,392,069,
593,568,757,037,994,115,848,070,998,602,053,682,770,860,934,829,771,987,328,
974,283,147,287,480,616,543,816,501,957,182,379,550,002,862,878,274,187,616,
642,723,439,202,318,258,141,673,925,846,974,793,956,220,944,558,999,996,512,
004,406,834,628,028,084,108,038,705,190,066,102,445,075,693,745,307,056,497,
486,784,882,484,040,660,317,417,603,007,815,683,825,562,109,523,899,755,255,
102,719,032,263,508,728,943,225,175,682,566,224,039,393,244,209,961,054,852,
394,751,008,594,575,650,928,943,662,170,621,777,202,850,486,800,379,116,511,
441,294,910,790,315,916,367,924,693,047,489,448,866,951,951,872,999,860,542,
595,215,962,044,101,708,420,865,639,521,405,517,155,073,321,425,921,158,748,
478,929,939,572,504,400,707,782,358,882,746,133,410,738,600,211,963,480,652,
756,258,062,637,181,472,885,571,136,682,572,275,117,493,476,156,914,884,473,
622,372,587,059,987,004,104,051,893,644,547,370,527,543,601,927,101,512,025,
487,731,263,767,823,794,501,972,052,651,288,663,066,117,431,213,991,640,702,
493,054,923,269,516,051,583,680,354,680,001,373,236,339,926,009,296,486,487,
504,841,644,366,765,380,838,383,656,621,310,455,333,390,796,951,324,021,943,
539,606,506,458,047,740,129,194,988,361,775,653,520,164,463,320,741,344,990,
540,934,675,440,610,168,653,169,419,060,562,504,106,219,634,292,621,450,754,
849,605,989,486,952,403,281,653,252,445,804,381,971,413,550,885,291,812,953,
677,073,898,732,364,154,635,101,925,386,398,896,045,571,023,193,026,535,654,
713,310,342,746,344,772,049,036,528,639,947,382,234,733,491,680,291,767,132,
320,291,127,694,805,193,263,487,055,789,506,163,059,486,928,406,270,533,220,
415,262,846,244,136,170,809,532,438,453,358,586,864,711,538,725,726,235,353,
453,367,221,545,590,254,944,824,395,575,416,928,420,187,117,238,296,175,514,
955,845,251,939,636,815,702,037,911,500,519,496,743,117,439,851,849,878,823,
457,684,732,077,798,978,191,254,707,335,769,651,875,893,955,549,909,162,705,
217,383,274,460,237,458,897,840,527,118,760,008,929,873,307,410,902,039,760,
695,779,000,623,677,178,956,276,919,298,794,913,986,148,421,163,857,295,496,
997,533,138,323,861,504,679,023,130,250,055,932,706,966,136,841,366,374,970,
750,594,652,993,906,082,697,377,466,470,155,701,786,571,212,084,579,644,294,
304,706,953,163,647,389,367,779,441,538,951,336,033,125,269,730,015,310,828,
329,498,485,403,866,980,547,116,605,661,515,814,652,717,499,751,718,570,135,
000,743,929,184,472,546,418,541,779,227,663,435,382,613,294,251,249,162,671,
792,116,071,987,667,797,418,649,775,895,906,059,744,197,405,875,932,769,873,
762,947,871,579,803,489,139,126,724,460,652,033,997,530,434,982,933,489,202,
984,502,404,989,072,935,219,560,537,997,666,253,237,580,370,720,423,173,122,
650,591,899,093,755,196,912,625,604,777,158,303,961,041,947,180,865,476,202,
645,183,808,074,317,607,014,918,488,937,025,238,470,255,688,434,220,409,062,
217,957,307,966,928,172,277,845,994,959,855,891,044,329,967,737,578,234,181,
559,624,740,551,075,903,688,334,754,708,867,428,273,918,276,522,719,456,125,
708,757,032,435,770,363,944,998,839,394,523,475,168,835,518,768,669,943,142,
494,219,482,837,399,527,942,969,155,232,182,173,610,086,949,508,671,472,687,
664,525,668,917,000,736,734,375,082,930,089,456,436,374,483,267,145,123,504,
400,856,302,877,685,333,921,079,460,903,136,157,945,680,712,703,732,300,065,
757,226,493,185,617,618,120,782,545,133,071,079,479,029,640,145,920,846,990,
774,833,873,078,145,786,478,366,095,395,569,431,169,476,812,862,613,944,908,
392,856,856,402,844,623,423,088,800,263,703,016,008,778,745,235,322,326,181,
926,979,272,541,573,218,725,395,060,387,501,104,487,887,806,992,289,609,059,
356,975,797,438,183,681,017,164,995,292,452,299,053,934,092,610,659,900,882,
729,203,384,357,180,486,831,925,615,439,600,500,234,009,869,443,862,801,248,
234,499,983,963,565,784,735,875,095,788,688,750,758,567,996,052,113,202,994,
427,853,109,755,201,082,649,597,857,939,990,304,362,892,024,440,232,157,065,
508,981,805,178,045,625,918,137,188,950,152,260,000,830,799,781,843,937,426,
630,856,155,226,883,973,652,978,414,409,234,916,994,387,493,155,531,216,849,
038,161,520,466,862,242,089,444,715,487,162,356,905,152,740,869,321,571,110,
266,587,492,196,152,024,387,923,503,950,396,585,959,752,288,727,406,170,199,
029,940,047,500,026,742,529,304,841,518,438,514,254,617,834,323,127,944,728,
873,983,088,463,563,146,116,256,702,895,487,470,205,643,789,571,245,172,843,
790,939,920,771,382,198,504,210,695,362,969,501,594,704,436,674,402,605,998,
350,016,868,182,278,303,839,830,889,031,097,617,484,317,305,976,345,983,656,
093,189,000,603,771,452,223,503,904,729,480,252,815,664,506,165,265,905,529,
207,509,523,680,460,236,568,378,563,603,407,484,760,572,808,303,789,801,444,
368,356,565,853,566,492,343,103,244,788,498,628,256,655,372,580,377,540,816,
210,978,938,781,956,864,551,574,032,492,333,872,045,740,249,747,638,811,675,
208,353,984,751,229,089,644,608,119,654,931,576,211,758,393,301,277,017,814,
276,879,403,335,211,579,858,697,853,677,691,736,169,232,912,366,090,007,723,
669,438,930,137,332,702,741,451,895,549,920,884,458,056,118,979,500,385,584,
504,117,471,634,907,561,061,572,930,996,833,416,338,509,514,494,358,343,929,
303,439,163,893,141,470,706,783,223,221,153,358,721,793,830,627,695,160,338,
763,234,555,923,848,242,307,295,631,142,604,818,155,652,582,404,627,916,821,
330,822,968,896,635,234,367,915,559,066,325,332,728,303,748,317,593,050,960,
546,332,009,672,275,270,306,892,722,196,840,600,056,484,765,280,176,367,595,
853,631,778,629,731,836,740,089,626,921,475,872,934,350,472,178,257,408,071,
585,114,256,489,860,279,038,686,816,203,683,578,361,687,584,396,176,891,766,
480,064,784,104,414,902,871,541,599,925,474,749,837,590,189,503,570,945,629,
398,427,028,042,800,949,052,172,912,782,670,858,929,561,156,366,876,160,500,
014,858,680,497,891,297,764,506,808,393,954,133,776,336,653,206,171,486,960,
685,317,420,548,879,472,718,355,370,389,923,990,350,107,953,196,478,689,715,
027,148,298,086,038,268,315,772,704,810,731,651,787,891,614,377,606,549,488,
457,506,541,187,379,355,288,073,598,248,452,489,866,819,577,966,139,705,391,
417,051,174,978,487,128,447,786,003,467,698,731,150,051,360,667,827,853,949,
089,702,417,712,695,181,330,117,628,498,699,793,947,642,477,130,866,945,897,
011,755,548,848,567,537,306,679,324,898,847,022,459,146,381,582,595,653,162,
249,644,635,723,181,623,426,465,916,030,240,877,035,409,855,448,666,734,659,
556,011,125,922,650,011,316,174,853,259,187,872,357,651,850,963,637,489,942,
853,888,547,033,010,171,745,532,609,422,915,638,904,243,784,399,819,093,382,
273,267,469,078,711,780,036,754,677,732,825,695,278,503,930,017,514,292,995,
611,215,441,484,576,613,286,979,279,895,174,337,849,649,293,992,744,236,642,
616,569,417,005,061,562,640,787,035,252,929,100,606,981,814,493,184,234,298,
621,413,121,947,365,998,431,327,261,670,728,233,004,806,127,152,751,032,861,
562,480,217,647,314,938,435,416,875,817,516,088,887,272,729,367,503,808,009,
702,345,027,798,289,166,539,125,664,401,191,450,672,371,618,840,243,254,233,
484,458,708,351,701,556,487,910,057,845,636,573,020,965,991,194,763,034,419,
297,767,269,464,509,726,344,033,732,311,102,813,309,932,852,794,512,575,656,
484,648,527,446,188,183,261,818,469,690,506,957,499,728,388,622,071,572,881,
964,175,324,708,949,481,034,749,735,023,234,096,060,330,172,789,434,163,248,
914,648,024,857,468,255,537,914,679,229,007,468,022,535,973,341,588,892,981,
329,915,529,479,760,321,752,890,603,543,450,090,040,762,806,962,632,723,117,
023,053,153,440,305,069,298,015,945,404,003,672,442,356,599,970,531,772,172,
502,358,760,939,026,603,829,793,388,602,466,086,141,915,002,884,862,130,207,
100,707,665,790,680,415,554,617,353,522,352,604,842,935,470,720,880,198,154,
538,365,639,470,131,680,640,872,585,530,607,626,239,354,116,326,745,479,175,
875,365,866,241,096,669,950,648,517,642,236,761,832,457,837,996,299,624,743,
330,484,558,620,114,207,494,032,740,622,391,433,779,818,761,355,516,101,554,
093,371,388,456,304,090,464,278,150,622,097,309,428,322,189,904,961,323,540,
643,409,769,039,116,761,493,385,396,283,776,804,533,682,484,968,523,098,294,
607,625,840,812,616,747,108,535,122,967,411,779,931,326,838,814,950,598,117,
471,306,931,952,455,431,449,818,736,376,041,199,330,743,414,794,528,691,034,
093,191,357,007,831,630,549,970,678,880,307,076,026,106,718,688,616,877,675,
125,520,657,761,906,942,571,070,173,832,809,685,328,552,346,620,832,259,541,
867,059,127,439,903,370,393,924,792,368,561,251,434,050,836,912,156,891,454,
884,349,061,297,387,242,840,692,547,890,156,232,780,046,366,838,865,922,945,
379,717,303,323,546,971,007,562,534,369,885,150,886,336,405,433,757,018,920,
272,208,734,986,175,568,632,588,219,947,825,990,244,519,930,270,522,259,603,
908,901,557,562,586,007,432,244,601,081,556,034,932,452,040,536,063,470,666,
955,018,615,299,284,889,854,607,566,598,582,079,578,405,618,070,889,053,508,
786,881,656,038,553,968,051,057,048,163,524,508,275,759,339,623,720,580,010,
825,002,874,531,009,538,604,183,761,832,904,402,277,623,567,974,703,391,776,
065,984,777,708,057,711,918,556,747,929,404,069,287,068,458,231,616,800,805,
545,918,616,475,450,772,161,657,650,560,531,469,573,766,809,047,961,727,065,
156,453,808,363,539,552,937,103,389,795,350,336,009,446,249,224,001,313,552,
143,103,118,137,541,258,996,159,521,737,569,350,822,456,385,488,166,248,770,
105,039,320,523,561,964,353,573,417,125,094,058,774,771,194,266,433,141,126,
284,876,839,009,538,584,477,675,466,781,050,084,757,811,680,574,152,038,891,
370,653,772,168,485,580,900,335,839,284,348,434,696,077,941,332,446,628,785,
358,155,043,729,594,579,690,869,406,935,923,777,592,168,332,414,467,564,965,
435,796,346,767,812,446,505,676,366,142,172,948,141,453,060,703,306,079,036,
660,827,237,091,651,729,587,854,989,800,774,822,674,988,684,578,341,407,602,
747,165,253,784,024,651,976,869,795,033,791,233,106,066,141,250,275,072,454,
722,485,977,119,104,387,742,954,327,435,325,350,856,790,652,926,552,307,314,
335,343,693,928,770,744,467,092,288,340,269,538,781,326,435,057,948,569,992,
544,947,566,153,297,875,083,959,803,362,523,417,401,206,128,077,177,957,280,
407,473,356,142,468,094,544,347,767,654,676,617,526,635,163,509,272,959,036,
061,494,400,848,851,572,612,912,285,545,105,002,067,126,588,806,595,047,001,
679,342,676,250,262,674,354,348,194,286,988,464,880,561,543,633,519,231,107,
316,474,747,022,503,291,656,942,506,503,569,445,668,527,287,725,431,431,905,
301,857,664,344,136,648,670,803,540,583,270,910,008,808,317,256,436,351,328,
742,585,445,696,512,010,741,255,172,778,739,387,587,344,082,203,136,435,284,
975,787,393,372,218,267,302,310,293,285,524,532,707,192,130,570,898,807,718,
098,161,798,234,390,381,980,066,956,042,842,447,869,762,230,807,291,311,658,
620,458,188,950,551,460,139,530,496,901,676,312,605,017,165,547,245,905,011,
017,229,458,635,525,591,295,242,510,380,207,674,392,972,728,566,781,745,205,
373,102,763,404,519,251,190,455,477,905,758,398,381,103,843,111,393,773,942,
399,319,617,139,079,785,539,698,823,764,380,833,531,108,569,506,251,013,605,
889,685,115,991,547,363,246,865,628,165,325,051,093,811,231,356,550,704,312,
723,210,660,813,308,417,020,119,394,623,895,008,636,896,310,708,553,695,595,
094,991,490,296,838,464,285,199,747,835,158,360,937,357,451,849,496,960,681,
565,182,458,784,923,982,357,110,194,338,041,442,946,740,966,243,198,834,964,
921,912,018,362,920,680,307,403,341,040,594,540,509,719,174,238,900,441,514,
696,778,513,379,686,745,113,787,512,262,447,536,459,439,534,412,312,748,199,
161,167,831,190,338,709,710,098,216,903,187,022,853,085,949,580,004,943,927,
436,999,307,665,092,548,379,791,695,537,261,601,834,918,723,397,984,583,606,
236,675,158,912,762,892,094,168,006,843,406,031,164,114,814,509,286,323,297,
331,192,493,697,851,201,303,101,860,907,523,630,496,407,070,616,935,637,300,
365,967,877,307,954,626,909,771,934,592,197,787,373,499,939,430,333,794,068,
554,852,827,137,729,702,229,994,772,074,032,070,434,152,730,975,677,303,018,
637,755,678,101,830,998,485,265,178,821,003,079,658,514,619,525,472,750,312,
318,732,152,481,590,861,286,959,855,209,714,810,377,784,845,254,700,980,056,
287,930,393,692,364,860,075,147,885,966,635,705,411,661,939,043,354,182,233,
515,899,383,201,065,651,646,595,148,415,912,614,933,396,963,132,316,219,902,
014,345,399,138,522,567,847,478,463,457,843,261,821,926,606,513,371,573,195,
298,358,393,892,177,209,994,195,777,173,082,227,206,972,085,341,726,415,613,
727,634,769,479,085,398,504,964,507,792,531,772,201,405,291,316,682,342,372,
554,397,007,341,907,470,030,096,350,673,300,094,788,989,506,533,067,660,613,
363,257,939,979,481,405,132,299,164,273,290,220,823,348,047,361,169,591,070,
894,151,245,579,858,440,700,388,999,483,161,446,712,885,909,471,624,133,724,
608,922,544,233,872,575,348,055,730,545,216,103,502,467,159,869,139,016,481,
543,984,951,423,539,398,159,621,357,379,067,413,538,907,279,048,616,133,241,
795,542,879,430,244,933,603,450,566,769,123,297,323,172,222,800,944,790,905,
075,232,043,801,520,686,160,711,659,438,787,359,682,827,588,118,060,685,099,
880,136,517,149,523,509,668,545,852,281,090,637,987,990,336,473,594,238,684,
939,561,290,997,248,969,991,593,323,229,355,282,606,633,916,348,812,771,820,
110,858,895,840,238,414,470,111,208,289,749,797,176,367,080,880,338,259,739,
177,442,875,078,019,496,831,210,064,100,839,643,879,375,633,321,987,480,179,
991,635,654,373,882,939,172,605,880,373,339,116,286,022,840,267,446,949,576,
097,450,120,627,382,853,397,367,269,356,485,639,215,342,610,485,702,182,275,
974,705,008,973,252,820,066,142,222,380,988,408,813,866,017,265,327,105,610,
209,590,828,502,770,897,363,561,962,615,166,104,857,640,382,814,625,685,253,
605,872,852,639,848,354,088,047,868,930,268,744,280,139,369,481,757,753,703,
489,600,895,698,207,048,141,323,292,170,961,911,293,136,103,405,940,655,765,
062,386,227,539,559,573,677,269,088,825,064,869,390,039,335,494,107,217,315,
253,725,482,472,356,781,084,719,103,851,441,719,478,575,038,864,948,970,265,
626,169,154,589,075,642,924,002,704,837,368,256,787,553,682,261,879,973,067,
527,700,538,397,457,276,551,689,924,803,921,548,041,197,600,873,395,243,875,
697,267,443,677,841,878,714,403,223,822,635,442,761,547,992,723,287,847,788,
497,403,442,580,552,586,042,048,947,150,803,708,327,996,306,313,440,135,955,
667,533,175,744,291,855,305,012,170,404,766,671,586,361,868,933,307,538,785,
178,087,562,874,484,637,579,051,889,279,440,242,994,823,686,801,172,577,832,
308,764,579,998,581,321,737,083,838,292,998,815,380,011,137,833,751,661,142,
399,989,200,806,378,604,227,322,772,817,814,879,945,084,028,459,847,399,379,
738,116,395,034,433,879,809,204,098,158,029,782,383,769,338,685,088,489,679,
963,364,411,361,543,595,565,707,083,832,984,155,002,675,772,516,351,794,467,
602,387,171,868,550,749,310,072,246,667,145,854,565,438,857,460,639,671,832,
365,166,570,326,720,615,172,040,386,584,812,008,504,817,278,549,354,428,111,
098,439,055,374,745,154,559,451,741,473,419,173,234,524,529,580,824,672,798,
109,530,704,012,957,489,326,187,155,448,227,664,674,753,706,745,889,945,950,
544,453,940,126,317,703,229,476,249,600,391,118,205,205,206,063,030,596,626,
023,758,388,180,284,471,311,902,758,027,674,876,608,775,842,104,803,995,731,
737,859,113,142,344,908,200,968,183,162,669,893,708,203,710,902,918,291,118,
096,004,059,657,947,537,143,394,871,907,801,241,972,603,438,557,989,641,502,
895,507,879,456,593,122,400,970,696,540,407,450,299,872,908,169,270,037,274,
130,509,343,420,376,621,904,517,461,825,546,806,334,171,874,998,008,202,265,
193,414,526,348,084,977,076,106,721,798,547,248,054,031,840,578,860,341,237,
323,063,929,039,794,461,914,076,216,631,623,399,661,432,273,441,305,799,147,
284,936,815,136,938,856,876,614,045,796,390,235,153,919,713,930,498,186,027,
796,067,286,365,550,941,426,531,324,250,976,691,320,340,454,285,588,074,634,
941,071,219,834,524,936,627,888,321,005,490,993,118,006,737,145,587,085,433,
057,590,028,429,827,443,061,123,232,907,824,094,107,071,785,815,828,971,382,
273,928,891,950,523,293,701,033,266,967,676,790,166,609,455,697,177,030,698,
069,724,694,520,655,625,997,690,604,325,554,048,729,690,119,018,716,238,506,
845,631,392,713,687,864,426,162,829,494,147,709,247,965,801,918,883,732,363,
796,920,249,394,107,401,401,702,117,314,060,667,698,541,965,390,620,854,117,
882,696,953,363,894,833,425,701,255,727,728,009,396,646,888,047,112,515,343,
462,334,393,817,141,848,163,277,923,092,176,583,672,381,883,425,490,865,478,
187,233,541,281,165,379,887,260,682,420,627,699,908,539,029,179,450,947,846,
124,071,227,040,837,550,243,215,078,919,264,846,875,016,350,705,085,502,322,
355,830,366,529,329,018,920,152,887,490,840,386,388,517,642,016,869,039,673,
661,358,087,946,720,597,945,336,507,650,208,668,441,943,056,280,091,099,544,
899,503,812,011,135,521,308,574,280,140,621,607,453,607,421,530,644,952,522,
444,097,873,304,701,880,981,359,855,212,788,485,179,948,883,855,578,263,576,
526,180,342,025,129,292,508,192,182,408,288,627,286,015,993,076,882,401,800,
516,472,243,031,849,624,283,561,580,259,366,427,827,746,021,249,170,461,392,
943,172,748,838,757,109,895,669,577,334,249,088,645,177,778,258,223,804,114,
976,367,007,076,122,773,028,653,269,949,407,162,750,765,409,875,295,706,159,
734,764,486,974,686,686,463,918,983,217,006,530,782,220,367,570,887,422,164,
118,917,799,981,681,701,810,689,816,098,797,061,859,318,459,570,604,028,568,
135,368,463,721,387,512,330,520,157,761,421,510,334,134,806,535,273,924,638,
387,833,986,799,769,384,218,901,512,723,809,132,753,911,033,116,953,962,408,
443,123,595,386,279,571,848,588,263,673,279,506,922,693,121,075,614,041,900,
178,887,053,905,660,757,808,571,238,039,759,212,023,462,186,588,193,599,516,
334,506,830,108,290,603,575,148,648,887,539,671,008,948,734,645,434,263,760,
567,432,098,613,726,634,337,419,347,711,994,940,885,704,910,634,150,226,066,
631,719,184,583,337,527,051,916,433,048,752,881,590,406,809,926,007,088,153,
805,874,149,685,325,138,054,250,160,631,985,086,043,612,110,881,217,301,314,
948,782,067,529,823,841,778,559,194,451,377,489,592,893,240,815,575,486,483,
741,396,878,816,303,286,480,187,317,307,694,582,084,164,619,443,557,605,573,
067,590,528,192,771,048,727,943,417,929,705,883,564,912,257,982,772,063,145,
124,598,903,664,604,814,134,881,330,066,574,822,104,467,336,922,692,218,008,
656,213,709,898,517,068,358,654,793,062,337,807,309,984,187,150,379,650,800,
921,686,431,582,006,555,743,919,905,635,930,782,270,147,024,882,266,612,455,
054,990,875,733,238,781,341,532,546,403,095,055,818,469,970,211,835,081,266,
558,275,212,543,889,475,021,724,529,473,244,753,659,304,442,491,209,523,256,
927,291,177,835,512,171,632,876,225,508,592,587,987,514,000,273,314,244,546,
285,020,068,035,240,544,202,380,135,601,545,679,755,194,985,960,369,925,127,
014,742,670,468,176,810,852,387,545,445,256,018,893,508,185,001,920,564,175,
757,755,248,724,313,771,580,269,591,757,276,434,428,671,232,587,071,301,840,
031,953,244,349,287,408,759,213,424,584,208,271,045,948,436,591,823,250,416,
921,021,585,150,194,947,455,897,241,140,534,070,121,398,611,249,654,515,759,
156,644,740,601,402,205,756,261,384,842,133,649,513,119,352,904,345,299,868,
670,816,742,999,326,667,154,924,473,279,626,950,547,432,578,292,284,549,125,
452,830,018,206,767,882,213,876,337,546,806,011,123,131,526,488,721,622,030,
983,619,076,752,731,237,833,667,761,684,701,798,491,351,450,950,035,417,742,
203,972,103,980,156,205,951,969,238,530,992,713,309,544,898,953,318,389,930,
208,735,480,591,739,132,238,199,117,801,884,126,180,525,805,634,568,299,143,
620,655,354,176,183,883,782,841,234,704,753,362,447,434,539,739,115,158,887,
886,236,017,681,032,076,049,629,455,723,501,017,473,415,587,062,151,483,568,
400,053,479,009,196,596,765,381,329,635,557,314,565,898,716,367,365,973,149,
923,975,374,447,992,006,018,660,722,303,691,910,921,622,047,932,637,167,215,
915,123,493,576,825,142,610,252,261,002,918,249,931,008,201,493,744,071,530,
694,668,980,417,185,391,290,985,945,237,130,270,727,971,196,772,025,673,464,
323,719,020,634,778,849,683,325,283,307,682,483,710,171,933,852,249,276,885,
004,056,602,533,845,595,157,030,523,328,575,330,834,421,820,088,489,502,474,
565,812,367,135,515,554,676,249,473,114,989,815,449,076,914,583,056,457,125,
374,151,808,687,740,500,265,100,749,382,851,841,654,585,551,790,652,315,126,
051,110,486,150,738,630,461,763,461,046,461,551,257,695,658,268,135,901,406,
876,448,826,618,576,188,539,838,249,162,636,555,157,896,942,291,339,962,371,
122,809,598,988,181,880,286,250,669,996,491,217,360,829,228,520,491,132,381,
470,176,247,974,434,989,978,933,341,749,314,106,691,479,067,858,366,712,519,
784,118,004,473,791,906,371,362,396,680,765,617,642,230,637,768,780,185,769,
552,875,491,318,229,075,855,729,411,435,171,132,544,148,666,101,700,161,586,
924,498,505,894,843,268,534,175,845,217,027,360,364,750,873,527,480,424,055,
893,281,743,026,537,606,948,124,708,485,522,501,705,918,448,316,859,246,790,
607,213,886,109,513,625,914,226,574,847,493,554,957,017,712,806,446,618,666,
487,484,132,411,516,956,058,892,035,872,126,642,517,830,672,041,489,428,335,
377,497,822,976,824,072,638,340,402,301,999,324,063,688,877,378,044,813,595,
409,193,754,734,882,396,659,111,188,942,486,385,503,362,053,442,889,298,156,
693,492,487,435,472,793,355,739,907,002,394,494,965,175,505,334,192,539,917,
223,260,132,316,454,806,794,290,075,721,146,811,547,435,196,911,331,443,929,
098,618,748,786,883,247,574,476,532,342,014,816,139,290,825,925,589,761,542,
810,885,144,648,631,952,963,931,551,794,614,974,486,035,536,086,425,719,603,
472,028,251,406,474,885,566,563,982,209,264,718,946,786,251,044,390,768,778,
819,885,880,809,630,331,750,066,959,310,033,759,708,620,580,218,863,903,655,
865,833,579,958,409,640,838,514,388,282,856,290,272,152,177,584,029,185,329,
910,256,762,850,914,885,629,681,812,231,512,665,121,329,258,155,581,196,597,
871,614,212,946,463,907,152,133,331,498,133,376,840,073,538,666,865,766,226,
967,154,111,947,085,063,197,189,832,900,823,069,104,426,508,094,775,239,818,
989,414,715,062,726,211,081,332,324,344,277,981,031,275,015,673,522,634,728,
580,321,821,780,950,111,172,538,698,059,051,875,200,929,568,816,360,690,210,
881,811,711,179,127,464,260,451,034,248,936,542,025,966,374,141,257,507,101,
099,799,285,267,684,927,102,816,040,551,321,982,168,290,123,892,172,894,826,
079,066,561,454,319,999,141,906,070,036,872,258,130,383,222,568,418,961,752,
588,709,389,819,983,057,256,209,000,981,440,109,124,732,118,793,931,878,070,
257,192,101,632,092,260,877,148,403,186,931,825,196,700,810,296,059,646,533,
436,395,287,518,881,394,375,880,581,057,497,263,669,918,423,980,918,558,825,
798,582,092,256,627,805,390,845,166,042,386,862,322,697,030,131,713,550,186,
236,082,974,744,547,299,495,613,576,917,981,291,033,960,764,805,159,176,835,
122,942,057,956,043,351,044,809,848,857,581,944,865,575,872,785,316,256,861,
211,216,189,584,931,112,025,458,697,120,143,224,278,297,424,977,763,928,733,
041,762,067,566,325,168,007,611,984,974,232,821,467,682,898,086,437,263,646,
882,061,156,590,481,998,443,530,834,597,426,457,163,183,244,373,514,386,327,
323,181,074,423,419,212,443,724,226,971,157,114,186,230,841,532,248,587,640,
281,238,133,256,337,406,075,536,151,172,263,484,109,046,267,915,552,580,951,
123,319,574,321,718,559,130,181,908,325,811,830,039,275,533,206,713,645,012,
745,702,264,120,195,547,173,431,249,682,031,107,172,299,463,767,706,167,655,
088,187,443,688,444,354,142,401,703,250,047,212,849,059,403,766,916,937,212,
912,147,695,520,364,722,833,310,757,418,789,688,302,765,346,242,923,840,661,
853,594,387,593,840,846,417,348,072,722,972,690,488,478,760,829,012,162,187,
795,172,444,672,196,998,758,794,573,393,454,348,497,380,977,582,595,447,497,
233,485,376,025,627,319,779,076,462,315,235,329,476,658,911,783,242,515,088,
583,438,122,874,056,062,243,010,846,813,832,305,200,596,527,973,769,306,039,
177,808,552,766,827,685,301,932,275,646,629,254,622,549,305,789,159,952,231,
655,835,296,215,668,420,792,033,423,236,521,992,951,851,185,440,761,091,467,
194,117,322,926,176,145,839,080,280,418,344,835,406,837,590,205,977,715,282,
882,705,796,279,781,278,428,336,833,436,469,088,436,629,004,887,069,935,369,
804,836,545,010,396,503,379,669,181,115,433,581,387,109,459,389,882,021,964,
395,609,327,711,765,392,379,790,816,386,861,395,054,497,420,137,860,717,951,
703,625,099,951,934,358,676,608,151,847,109,884,974,884,209,125,289,109,545,
605,745,059,399,875,792,582,944,188,911,325,910,921,064,464,602,966,191,482,
038,883,106,881,363,925,956,565,069,488,810,454,078,246,367,721,424,943,376,
564,933,100,916,736,320,190,875,353,796,695,145,798,174,180,401,553,453,675,
410,578,027,636,701,853,074,519,005,553,197,767,027,876,772,458,261,145,239,
850,357,303,873,159,463,670,679,251,734,246,401,397,873,925,382,932,135,389,
796,955,826,901,161,548,620,736,335,693,092,825,926,391,866,752,758,425,080,
481,823,027,991,187,216,531,781,754,798,595,398,972,701,457,363,315,239,086,
483,684,839,263,230,793,212,286,654,671,616,441,377,123,256,722,125,182,034,
825,887,217,847,135,963,749,175,202,393,854,572,129,117,893,105,608,192,240,
252,312,446,733,895,084,359,316,040,767,542,529,724,070,679,801,540,309,706,
444,986,135,397,764,723,788,148,715,300,736,160,714,902,759,906,293,398,637,
576,837,706,613,995,059,727,697,873,973,979,124,563,090,843,035,402,602,969,
216,298,994,728,463,028,129,567,294,350,369,692,871,170,045,065,360,808,579,
260,222,195,851,341,783,471,646,462,919,864,665,235,111,530,297,191,138,662,
922,056,763,893,767,349,785,638,488,454,672,551,465,445,494,462,820,795,079,
250,275,395,966,323,452,148,857,535,840,638,219,048,374,007,859,380,668,180,
305,488,198,311,111,261,881,767,010,770,946,382,144,033,427,417,724,276,158,
010,390,307,240,338,450,337,635,744,381,318,078,820,920,970,644,099,301,393,
435,751,142,258,775,524,566,377,479,976,134,521,737,292,551,117,254,260,398,
481,942,151,579,651,084,811,006,664,865,892,251,581,491,465,700,835,796,953,
541,252,740,653,242,586,768,605,381,434,929,713,990,017,975,766,371,939,940,
185,041,279,231,390,687,112,499,568,819,379,588,267,915,534,447,777,827,743,
851,599,090,956,169,330,579,097,665,820,736,053,481,562,000,808,481,856,246,
743,284,933,701,742,711,951,434,050,370,137,847,466,341,419,157,443,129,279,
129,760,167,396,674,491,155,916,881,213,360,687,631,667,378,857,920,152,162,
840,011,550,541,733,259,238,577,551,815,031,980,397,912,062,141,554,468,854,
153,651,894,690,068,686,730,817,383,975,266,806,754,844,136,148,243,617,507,
717,074,782,021,289,825,231,295,092,294,700,025,709,291,827,204,177,418,889,
098,215,969,536,183,318,869,887,178,793,234,181,509,043,605,994,910,901,617,
524,547,338,172,057,747,857,594,994,646,835,225,563,470,014,631,386,507,501,
587,354,397,440,579,096,003,766,210,090,780,965,691,492,741,954,539,149,275,
750,346,514,461,178,944,366,916,703,689,595,429,031,101,665,409,092,372,509,
849,817,982,261,189,914,663,849,318,965,500,702,797,167,583,695,221,529,834,
935,993,446,850,269,731,576,788,808,503,346,146,884,983,972,016,976,889,884,
721,666,147,571,365,775,294,506,580,713,543,295,330,954,549,345,988,288,453,
706,917,762,498,850,924,217,565,920,378,980,991,993,227,703,976,507,194,870,
861,386,921,213,330,969,146,104,806,741,045,978,066,269,475,467,352,214,991,
675,969,475,419,356,110,090,088,170,005,771,829,141,992,277,992,116,190,332,
147,359,098,188,865,087,782,519,230,464,769,503,145,002,682,501,508,791,678,
071,810,089,013,121,246,841,383,201,336,638,969,510,814,373,379,625,199,895,
674,610,918,280,844,425,796,294,399,509,148,951,389,779,033,543,755,620,713,
966,027,321,973,973,982,047,503,065,824,575,284,019,823,664,609,452,347,284,
336,972,892,762,726,645,691,175,935,793,429,300,621,236,674,141,608,005,080,
931,113,981,323,157,016,927,811,591,233,069,430,009,086,581,349,964,659,205,
176,455,107,488,443,760,673,526,322,872,428,137,214,525,362,608,596,647,129,
790,611,976,877,648,745,378,140,984,640,135,001,996,164,885,053,101,183,670,
545,453,778,696,840,862,775,439,817,730,686,132,194,340,484,817,307,771,702,
196,010,614,202,227,346,674,270,011,542,766,977,347,353,415,826,085,070,131,
073,648,719,501,776,078,991,131,200,832,974,595,837,982,753,055,397,669,891,
027,703,790,772,014,107,142,045,979,451,615,909,166,771,391,203,160,126,240,
882,549,179,384,714,183,700,593,369,744,759,750,856,722,118,584,963,750,533,
934,075,311,600,792,660,337,990,153,828,455,674,714,583,870,089,587,508,805,
755,756,825,632,085,687,131,427,297,079,067,114,900,182,478,452,592,735,975,
419,367,438,611,805,187,993,527,386,184,959,147,344,710,424,286,715,034,514,
349,637,669,953,293,033,611,925,447,917,709,007,211,951,484,416,972,529,033,
042,504,746,498,359,177,338,316,582,927,390,107,457,470,798,997,503,316,685,
012,572,681,784,904,859,461,714,855,980,923,475,669,090,361,068,970,916,515,
465,581,749,790,744,820,768,995,304,593,254,528,938,948,689,920,252,375,123,
678,089,806,362,586,390,213,901,936,618,422,900,021,172,226,607,542,272,087,
446,046,662,556,515,309,403,038,391,657,635,094,302,822,043,470,856,510,247,
811,347,151,857,038,547,971,257,896,512,234,568,066,332,736,186,496,002,602,
360,645,820,241,550,038,513,455,444,321,723,326,768,587,184,570,840,705,083,
014,256,792,051,706,104,849,818,220,301,277,051,328,201,325,091,825,283,935,
690,139,879,475,007,589,837,329,170,678,294,983,730,384,817,853,888,190,192,
714,564,896,287,911,905,198,748,693,134,835,705,536,811,790,633,578,627,404,
828,376,348,052,162,095,009,801,284,104,056,393,861,093,331,096,728,055,235,
571,055,351,473,230,149,472,078,910,150,653,337,460,390,739,945,449,755,584,
159,939,389,469,227,674,584,025,750,069,845,498,938,529,567,801,165,206,911,
871,591,731,757,500,868,331,239,905,300,726,718,401,669,300,289,228,416,620,
707,072,135,834,532,907,092,516,908,443,691,333,167,315,696,395,830,801,953,
798,519,294,256,644,190,199,956,023,760,720,052,900,783,528,242,123,152,563,
410,867,360,208,369,105,711,978,648,916,779,063,501,743,961,017,653,496,284,
471,652,196,332,883,567,926,997,107,798,389,695,029,720,304,219,211,364,702,
665,362,735,727,369,971,282,820,046,131,439,837,269,113,945,116,686,735,485,
076,160,172,527,229,493,120,095,004,798,598,418,271,500,739,471,881,988,140,
216,779,633,851,927,902,097,194,154,440,751,120,444,433,886,874,625,022,565,
540,784,903,692,798,704,477,409,111,280,271,286,612,594,194,899,602,445,738,
626,500,296,287,134,592,222,218,718,189,284,129,816,068,015,321,653,487,370,
554,116,869,661,224,276,818,305,919,724,978,658,679,705,556,864,329,430,486,
066,715,292,689,116,279,486,940,855,978,281,831,830,737,236,685,188,111,139,
385,965,531,867,649,347,929,281,814,911,518,320,662,221,941,332,771,077,052,
497,766,759,521,732,336,316,291,641,957,227,607,693,785,718,512,685,775,879,
505,258,698,618,547,067,579,854,242,858,312,269,340,292,331,843,589,837,626,
441,623,317,961,577,260,680,095,402,750,729,028,407,033,299,447,513,553,302,
854,520,274,040,788,803,851,920,270,257,339,736,275,430,506,180,767,819,592,
528,642,924,640,526,037,722,291,116,771,415,396,911,333,596,293,448,010,775,
621,037,780,225,918,076,643,815,827,552,244,017,277,344,750,517,477,282,228,
195,013,517,939,765,985,891,848,270,663,998,329,110,931,587,607,314,506,326,
512,779,455,875,307,728,884,459,120,878,750,782,051,803,424,035,547,281,517,
554,905,870,293,217,242,481,555,669,615,846,088,644,279,148,240,463,369,153,
351,800,542,622,830,746,166,260,668,241,879,296,664,274,993,021,927,785,428,
089,856,666,220,064,757,335,188,644,175,583,709,647,622,779,502,332,633,811,
108,817,277,653,194,553,796,853,151,483,563,402,441,372,865,503,102,221,725,
177,376,803,342,194,160,083,539,759,001,952,349,791,545,992,260,535,828,543,
630,344,129,083,225,312,748,778,706,027,916,663,130,811,089,578,964,810,404,
523,683,357,471,235,066,373,173,435,540,137,016,802,286,952,553,615,568,038,
177,878,246,555,743,994,980,409,595,957,580,594,220,205,936,536,470,398,272,
728,317,212,916,840,297,472,386,156,093,122,864,287,919,384,715,147,759,372,
599,456,222,031,339,083,869,169,813,514,931,459,645,389,672,826,744,459,645,
431,596,671,514,509,696,383,792,614,976,833,220,601,356,841,111,672,829,238,
906,361,394,657,008,262,461,420,981,753,308,573,535,765,453,564,934,262,739,
313,892,652,363,131,853,003,221,215,762,162,606,593,501,870,673,788,910,494,
669,329,678,958,017,821,615,665,853,451,327,414,318,483,980,926,692,250,773,
797,634,223,085,965,254,338,136,495,284,005,775,073,244,846,873,975,833,591,
075,869,661,460,243,953,343,764,317,693,973,237,770,331,752,616,154,584,445,
584,931,593,319,835,613,645,830,288,083,025,419,206,277,283,061,923,230,287,
096,069,868,041,118,417,632,765,165,487,268,992,096,401,878,466,456,702,750,
179,685,939,517,058,762,815,496,109,753,153,865,626,770,905,920,453,827,751,
286,139,662,162,754,731,536,197,663,294,521,665,203,077,599,841,630,492,201,
868,290,265,698,582,344,324,115,503,385,142,715,853,364,037,331,255,637,198,
596,130,128,156,889,057,761,433,040,985,681,501,873,682,339,920,099,462,578,
631,625,124,107,228,827,256,508,619,170,748,453,256,731,984,780,823,695,499,
455,085,347,861,594,463,997,593,518,859,491,222,329,634,739,629,669,071,856,
845,507,129,404,512,474,407,864,007,029,789,683,387,462,007,137,776,126,557,
170,801,575,416,229,351,474,486,454,938,859,326,967,704,595,000,979,746,894,
660,858,522,550,522,273,273,477,643,495,871,790,021,123,014,725,117,281,753,
205,851,984,667,627,058,346,548,529,135,243,136,881,916,243,392,614,016,391,
781,848,858,948,251,135,414,437,554,171,897,438,921,799,058,890,595,587,359,
234,163,088,936,584,906,859,197,109,669,011,931,550,878,531,339,665,643,155,
017,503,480,078,292,286,726,230,160,278,912,357,344,491,486,434,353,345,111,
269,194,987,522,773,197,109,659,695,853,267,035,757,242,202,094,999,855,598,
923,859,775,523,506,574,216,274,501,639,112,980,919,262,408,985,378,408,155,
536,722,072,658,571,395,106,911,967,004,542,360,212,504,701,669,037,295,816,
041,490,363,149,903,719,411,896,724,911,380,419,411,884,646,249,246,334,841,
294,857,244,142,657,898,506,480,248,113,505,613,790,612,023,046,431,785,131,
827,718,642,610,086,432,602,575,734,130,206,545,108,047,779,510,183,205,078,
742,522,596,714,016,167,674,075,750,037,386,623,070,512,855,446,193,693,324,
676,475,793,695,352,865,066,902,573,860,312,807,386,061,834,027,972,296,665,
923,110,941,992,921,660,673,315,858,600,690,392,995,762,889,612,949,965,639,
324,313,801,460,269,282,020,722,023,971,414,891,551,998,657,699,746,443,327,
058,087,069,058,948,541,519,521,327,933,524,964,977,245,030,257,999,458,945,
527,555,260,336,704,652,261,835,185,091,643,856,381,702,377,659,170,009,849,
196,469,183,448,192,213,707,724,876,466,283,352,718,184,813,771,383,185,059,
043,568,817,235,160,884,861,318,718,642,469,758,899,427,313,194,778,069,897,
150,901,224,285,414,719,970,045,326,668,571,307,223,458,026,722,541,387,091,
485,271,734,148,872,520,174,844,772,456,793,138,527,611,352,671,182,902,811,
301,801,860,014,597,685,227,251,689,685,753,384,135,791,608,516,838,584,941,
586,330,352,620,878,686,464,122,004,693,889,809,920,569,127,637,485,484,158,
042,799,812,090,059,611,567,390,460,833,905,684,624,157,379,775,744,418,010,
453,907,438,066,248,517,057,018,763,804,900,575,730,445,235,627,510,254,449,
749,244,323,480,719,910,124,745,094,160,938,137,327,521,734,786,096,453,186,
486,222,446,146,656,412,963,954,608,302,755,220,794,067,452,259,942,796,075,
470,145,608,825,649,631,934,076,604,376,104,806,683,892,379,301,357,346,307,
662,207,677,712,488,738,878,014,167,404,259,428,693,905,707,556,456,211,417,
949,260,146,692,279,594,779,480,347,887,981,226,927,445,318,219,573,606,203,
167,188,658,144,199,177,469,429,381,731,907,968,739,601,548,393,921,691,579,
672,979,209,470,714,375,501,421,398,282,882,934,530,537,884,224,610,394,463,
407,454,303,700,771,924,291,581,929,742,361,496,114,555,397,962,570,486,202,
369,936,276,802,183,188,416,307,800,619,679,233,612,023,213,776,194,209,476,
834,510,579,810,387,205,761,055,330,189,588,593,423,069,473,520,255,808,587,
008,861,490,456,990,091,392,748,289,987,208,832,598,636,761,723,101,273,877,
741,540,925,528,193,225,368,545,324,174,056,483,158,592,469,872,944,472,602,
195,405,351,807,144,161,365,775,960,063,917,674,418,432,998,251,582,246,040,
069,657,851,969,573,776,818,131,695,609,853,237,081,704,145,114,291,528,248,
283,627,089,874,056,573,294,031,728,000,398,608,633,979,541,518,749,831,947,
113,308,304,641,597,467,847,555,411,484,601,318,039,061,221,874,905,811,534,
773,525,249,234,956,742,309,114,164,814,647,593,557,244,188,434,975,877,024,
562,965,060,245,495,725,702,133,539,767,786,215,200,804,986,891,321,318,056,
066,692,379,866,835,627,793,590,860,484,326,934,897,218,945,554,312,183,070,
456,400,989,067,158,042,833,555,107,966,260,779,993,035,035,511,121,867,195,
156,404,889,075,605,548,820,665,890,390,987,253,003,627,017,913,305,689,160,
760,634,620,627,548,837,273,676,065,322,043,343,367,656,544,229,725,801,023,
468,815,281,117,236,969,598,544,407,363,885,326,750,081,721,099,408,250,957,
302,830,441,914,708,093,519,483,888,847,025,329,769,073,306,176,926,415,315,
195,049,185,974,534,608,612,948,690,739,180,425,991,041,950,936,064,869,635,
721,872,209,425,252,837,319,017,858,948,212,114,386,969,492,420,573,324,780,
457,929,196,466,057,670,375,137,701,085,110,104,599,609,261,637,076,272,946,
847,488,835,327,209,671,874,174,166,444,908,555,553,642,059,228,544,206,324,
823,217,806,546,475,088,564,928,652,256,416,123,241,057,730,805,824,635,861,
281,688,260,047,736,397,637,207,165,163,164,667,296,613,521,035,083,157,735,
933,977,647,408,222,928,726,530,255,349,715,338,089,734,292,662,089,094,006,
269,943,040,750,573,180,169,670,728,945,541,539,552,563,973,252,429,063,468,
286,860,387,441,369,346,494,763,235,551,013,157,350,391,457,996,039,945,557,
470,968,140,285,537,990,902,122,249,014,943,748,137,349,909,086,888,710,853,
091,750,129,379,586,165,653,632,231,170,492,587,496,749,876,575,777,237,644,
610,234,380,421,778,309,208,234,371,381,181,919,956,983,683,714,350,309,093,
653,456,947,194,293,242,821,899,416,407,833,660,619,318,251,832,947,456,366,
368,469,646,627,249,102,035,203,951,759,737,457,602,770,748,513,356,331,541,
162,919,454,248,403,080,489,265,885,507,612,072,837,188,917,726,410,692,809,
875,586,794,400,291,728,988,771,175,466,148,795,478,968,724,480,722,110,155,
167,421,204,402,911,420,979,772,520,280,874,596,928,729,116,264,382,834,353,
613,289,695,740,169,128,000,952,191,234,108,684,156,416,690,354,724,196,569,
284,265,766,795,176,189,412,788,662,985,966,328,719,675,253,802,400,208,848,
896,312,912,627,053,553,591,215,044,419,516,274,597,198,640,141,826,732,174,
578,948,446,901,891,563,296,074,154,503,017,515,029,772,781,910,232,049,248,
741,090,776,482,050,396,098,109,466,395,202,145,278,365,342,354,194,530,798,
285,688,940,365,747,966,504,915,919,291,365,344,590,375,150,088,879,680,759,
267,596,759,755,712,332,545,117,024,155,329,343,923,965,033,258,636,708,852,
901,476,143,711,817,596,817,299,906,250,306,525,835,660,425,974,969,714,547,
821,501,633,504,544,370,315,787,489,914,086,174,436,490,024,401,699,596,321,
350,631,977,540,107,837,640,673,777,618,450,678,933,968,852,039,349,496,898,
572,477,393,006,990,553,128,670,588,532,781,785,862,644,307,188,155,130,655,
351,598,163,158,025,622,404,189,499,446,001,082,068,291,791,361,445,588,219,
222,778,458,756,465,046,960,962,060,516,733,903,777,729,082,063,625,099,346,
207,429,549,534,933,151,583,494,803,373,469,850,756,480,623,962,880,911,875,
148,622,767,309,727,162,771,847,268,964,187,862,589,474,429,551,969,546,026,
051,115,113,748,329,185,858,595,557,382,644,808,836,837,792,392,586,393,435,
927,735,243,802,511,414,696,253,038,213,234,510,781,333,295,102,873,113,498,
742,532,095,377,494,924,463,380,288,648,037,261,431,328,574,101,555,596,357,
419,922,939,741,079,680,474,163,901,041,449,836,810,318,274,968,048,496,705,
082,894,333,012,840,909,315,422,830,910,397,669,032,427,840,191,130,399,302,
579,240,413,982,155,176,608,468,122,088,228,553,733,431,326,564,080,492,139,
818,450,422,025,517,197,395,002,710,881,056,301,529,640,861,554,646,261,265,
772,425,555,677,122,330,457,483,441,417,068,408,141,686,098,399,719,893,783,
811,046,073,641,499,726,052,724,224,492,714,870,854,905,462,515,740,938,947,
190,388,870,688,333,710,103,934,596,519,294,237,655,366,748,445,589,607,925,
724,972,334,856,045,645,118,079,470,939,643,464,024,344,919,451,174,022,113,
258,985,828,458,696,167,400,820,201,032,903,570,209,597,642,000,103,929,973,
311,413,562,929,950,912,169,998,337,058,585,329,090,161,468,173,070,763,647,
065,293,720,546,632,277,921,747,198,324,335,185,404,707,996,222,311,848,123,
779,799,208,874,055,008,383,462,651,256,969,927,562,367,339,438,737,033,861,
067,634,882,134,964,972,367,162,484,353,937,731,440,781,564,564,850,434,366,
956,327,864,180,069,210,734,391,331,671,392,605,005,220,352,901,273,520,940,
744,501,718,284,223,094,321,461,419,987,824,324,015,050,487,268,823,226,295,
460,633,651,164,528,839,054,857,060,784,551,361,502,071,129,911,798,997,312,
879,992,019,023,371,788,697,065,929,824,181,096,826,392,260,318,979,710,116,
199,226,299,456,602,455,685,329,679,487,293,467,905,897,925,333,550,698,660,
447,111,533,925,433,010,849,812,553,832,378,639,289,757,539,636,423,567,545,
981,731,500,296,391,145,620,365,540,854,213,319,772,376,909,328,206,989,373,
467,845,821,195,829,272,850,962,973,031,516,999,770,755,819,839,396,741,704,
122,968,440,036,316,665,388,220,798,778,692,325,698,325,764,756,400,086,606,
055,338,239,139,189,802,535,724,646,447,070,135,116,307,942,422,699,929,210,
563,336,076,687,757,174,239,493,200,043,288,337,157,243,674,679,275,408,627,
115,874,107,745,022,978,296,640,452,223,840,056,459,177,945,913,387,633,786,
763,831,557,757,500,493,667,340,453,563,452,247,470,953,246,027,498,014,213,
163,296,484,166,193,003,788,032,534,676,635,887,320,033,227,412,300,999,709,
519,158,581,993,693,284,042,174,470,019,307,246,862,462,900,460,664,264,666,
351,470,654,124,256,546,982,842,471,379,921,027,437,649,604,593,092,543,701,
383,720,538,480,845,185,005,361,336,026,134,085,350,546,030,088,579,069,890,
083,636,798,681,843,278,100,886,701,784,060,334,731,597,710,679,484,515,382,
200,171,778,652,504,917,741,637,574,998,036,411,754,994,619,406,359,098,797,
928,907,021,027,757,995,738,683,118,917,293,869,457,056,417,891,834,909,568,
566,086,059,667,728,348,158,883,913,616,519,993,588,882,040,903,090,626,087,
659,103,211,747,196,030,692,747,217,077,171,686,564,779,350,233,027,660,558,
449,241,493,734,152,329,834,049,281,875,776,613,771,990,866,618,346,246,886,
170,810,809,225,431,656,053,670,248,836,589,488,674,976,225,197,214,113,989,
462,798,383,865,322,355,874,533,509,127,535,778,798,232,129,195,266,318,766,
744,881,123,625,595,396,651,885,416,491,791,518,448,659,735,662,288,398,591,
220,017,775,216,720,026,757,601,004,351,456,270,288,510,506,272,445,606,287,
046,479,925,096,933,963,146,029,473,602,561,124,353,084,765,281,602,353,049,
518,710,163,415,214,739,941,507,773,608,453,401,907,214,111,699,515,867,386,
471,841,389,955,904,198,531,755,526,472,868,329,018,656,737,296,424,606,474,
531,341,799,524,216,773,173,132,688,660,647,570,142,281,741,827,319,315,472,
168,298,759,379,661,948,067,266,444,003,340,926,302,447,102,282,700,320,671,
993,710,757,033,639,072,188,121,659,065,708,213,331,252,617,084,406,674,098,
154,289,901,616,000,805,123,203,961,257,491,984,634,340,590,072,776,001,715,
972,606,648,760,371,695,113,187,968,926,253,605,199,793,480,646,873,804,035,
695,419,319,580,433,464,486,448,175,452,335,007,840,935,543,517,164,350,314,
776,236,262,898,211,639,353,925,572,777,836,613,692,603,847,348,972,735,293,
878,858,965,419,585,264,562,104,191,688,103,359,881,798,928,869,380,293,730,
082,511,841,476,095,032,110,723,678,236,952,096,192,327,555,048,925,531,400,
017,146,101,845,515,961,171,126,486,852,688,026,430,937,079,303,259,913,976,
916,379,182,350,464,045,872,271,351,030,936,967,511,156,793,121,121,362,303,
923,099,424,787,016,503,203,239,930,305,895,707,917,580,018,591,635,263,724,
705,426,485,260,242,176,261,567,793,186,132,689,425,431,174,716,651,161,522,
123,050,034,170,142,690,426,902,075,800,883,383,107,826,927,160,775,245,404,
673,269,307,262,304,457,640,423,758,544,926,412,304,463,002,275,430,927,788,
163,002,407,145,469,147,661,196,666,498,886,624,919,898,510,828,823,906,225,
794,921,572,483,461,153,910,033,716,112,641,883,315,730,190,278,448,450,322,
903,281,763,818,347,434,768,925,521,582,647,089,071,530,471,093,581,218,451,
731,478,973,266,764,146,049,439,720,738,606,508,301,429,933,343,340,714,800,
400,600,888,428,256,269,962,181,963,173,425,884,831,139,057,547,845,078,196,
462,801,183,080,589,411,825,662,200,627,386,901,075,925,331,522,260,917,015,
636,375,430,637,741,129,478,472,688,003,213,040,305,733,145,849,764,312,766,
016,325,525,710,353,972,252,957,333,370,265,960,791,715,750,589,766,669,216,
738,533,792,893,319,250,874,110,869,647,269,591,159,764,049,593,959,003,021,
020,103,328,906,539,208,504,522,423,740,271,518,838,126,766,823,359,392,640,
991,275,708,166,130,282,345,326,277,350,212,355,612,239,940,248,181,478,609,
110,481,613,469,075,680,699,459,393,108,786,389,220,102,179,468,010,158,803,
760,626,665,970,291,546,968,070,468,997,686,782,074,375,957,186,012,518,921,
170,698,969,718,164,336,222,758,420,324,254,159,636,595,661,792,497,831,040,
025,428,431,124,801,331,283,366,940,976,295,070,890,522,676,859,360,171,933,
747,613,046,702,601,134,954,695,328,015,142,764,380,025,220,435,489,421,735,
741,890,727,699,277,531,183,488,137,758,266,729,120,097,342,746,020,533,013,
932,899,627,148,867,709,055,787,049,715,181,874,339,763,908,510,752,217,281,
244,160,855,458,723,967,255,758,974,072,386,546,198,543,896,641,141,959,219,
588,003,013,560,648,976,333,433,623,270,286,864,918,908,523,300,543,357,594,
687,057,688,834,239,869,987,059,299,604,510,508,917,309,209,548,151,361,901,
463,531,036,776,299,562,671,063,219,474,174,118,098,421,141,875,860,178,038,
150,096,938,916,274,182,400,317,489,684,568,959,988,295,445,583,733,468,917,
642,354,910,158,534,576,981,771,945,090,361,678,310,727,842,478,577,969,368,
809,101,011,924,737,903,690,697,419,667,248,035,518,312,693,688,020,994,735,
592,597,860,861,190,390,837,509,538,643,017,383,094,570,374,914,101,934,150,
576,905,460,553,086,515,575,693,632,932,300,984,394,704,549,328,536,678,061,
211,566,676,593,592,531,540,486,245,958,291,532,116,421,332,265,711,835,076,
797,648,664,856,572,638,165,031,936,773,106,695,159,889,296,568,465,869,960,
900,664,432,869,816,000,366,166,412,208,365,340,257,877,470,467,223,433,313,
983,376,625,064,826,362,205,951,662,329,292,905,289,654,867,657,333,966,726,
401,973,901,409,054,312,994,164,097,941,976,166,290,195,453,069,796,653,104,
327,797,979,783,505,909,558,234,160,126,307,755,183,267,706,128,728,597,437,
819,151,995,371,438,441,013,866,391,462,276,629,137,217,349,984,026,120,663,
233,192,396,738,930,134,490,007,633,228,708,476,190,300,045,273,123,697,235,
136,334,082,055,098,775,346,726,243,158,572,780,987,582,383,292,528,096,869,
766,119,671,389,369,189,565,865,503,472,442,641,508,736,056,887,187,323,435,
194,870,438,405,087,878,926,509,788,852,582,713,399,637,878,720,675,121,017,
988,029,285,594,504,862,767,514,668,508,517,839,936,365,924,733,244,181,189,
877,728,174,583,388,986,848,684,648,851,369,727,375,357,438,783,359,047,675,
522,427,781,886,956,327,944,499,067,721,226,443,155,845,956,741,880,488,153,
545,848,649,811,372,061,608,094,399,519,982,804,262,252,205,180,002,584,664,
542,729,462,631,217,023,902,185,970,194,105,503,735,089,626,523,139,111,825,
258,039,228,063,169,910,244,109,670,141,464,056,988,915,013,636,649,946,619,
165,446,820,667,468,332,998,498,782,146,631,448,020,834,752,109,960,271,234,
785,673,108,584,197,572,186,721,637,473,626,461,332,707,391,597,538,937,676,
109,325,537,268,156,008,568,656,492,575,099,851,614,791,143,646,627,971,210,
381,325,057,089,617,665,312,038,535,203,739,126,308,434,818,285,290,028,402,
648,537,860,496,345,535,289,064,079,612,352,952,888,884,474,756,139,645,616,
864,116,222,915,230,473,767,088,599,192,608,682,522,425,956,345,990,698,440,
527,073,068,814,705,000,497,395,770,800,908,423,583,725,345,434,665,413,193,
413,922,209,250,496,193,589,323,091,655,905,693,953,493,118,773,757,879,295,
537,043,402,086,874,286,077,714,497,066,180,909,661,968,586,336,902,167,601,
126,922,411,909,605,288,839,259,293,758,910,687,532,610,889,222,990,803,794,
193,606,815,552,026,917,417,799,085,769,525,292,366,375,358,961,128,856,772,
576,747,768,572,984,993,382,664,860,642,002,382,582,936,413,493,269,158,939,
868,425,334,483,669,739,249,935,533,492,395,502,727,701,889,010,868,730,053,
458,421,944,842,488,786,118,445,015,801,804,460,489,603,820,517,937,036,563,
483,319,010,924,670,794,432,065,977,102,796,628,002,076,902,639,510,893,924,
631,505,752,334,242,408,186,612,694,645,572,456,168,896,330,048,105,092,817,
253,028,352,461,388,143,967,474,193,625,978,689,440,311,642,854,566,947,159,
366,403,330,194,111,944,701,595,610,759,769,254,114,984,040,269,701,632,849,
464,661,926,981,236,533,292,050,219,493,536,105,849,208,491,809,309,859,461,
402,745,058,001,045,093,919,927,642,283,202,583,543,396,965,136,446,736,398,
172,053,231,620,824,465,767,204,515,618,544,085,800,287,268,946,019,642,667,
517,649,463,156,138,948,810,125,711,920,283,109,980,350,342,885,182,999,875,
828,744,959,019,218,398,833,173,867,709,184,920,448,972,675,290,569,038,480,
975,372,429,775,659,355,589,567,516,746,738,421,630,019,721,748,187,824,728,
269,342,198,196,620,570,383,698,108,664,776,443,557,791,699,730,612,883,991,
217,060,855,198,544,312,233,206,721,672,856,582,372,193,854,960,750,206,802,
001,722,836,403,073,744,625,178,122,366,474,034,887,610,777,441,650,212,907,
342,336,818,839,396,897,580,741,914,794,948,958,854,336,292,111,383,877,472,
284,398,849,998,077,080,946,723,584,209,461,941,273,860,551,113,897,517,413,
667,834,212,837,445,874,551,338,098,218,194,533,772,747,800,548,956,312,919,
599,872,762,545,087,775,114,819,410,624,871,684,180,631,672,611,151,102,878,
185,263,343,473,531,012,441,350,967,839,236,268,306,704,186,844,649,648,904,
976,675,256,007,929,084,647,704,285,488,094,168,836,469,391,459,261,154,557,
742,828,788,289,404,522,626,563,831,283,979,817,947,696,741,226,919,785,750,
092,989,221,261,597,942,107,402,235,131,915,982,402,267,249,942,083,119,755,
709,972,014,313,831,771,933,104,639,660,077,730,195,862,548,340,241,046,369,
948,641,916,510,145,406,795,097,992,030,453,455,290,428,293,260,545,230,336,
930,587,006,785,076,950,104,806,942,421,208,905,712,454,794,674,417,703,685,
439,485,342,164,592,616,771,751,826,518,418,698,664,269,825,963,165,556,410,
429,307,166,178,107,548,426,153,841,194,868,433,252,330,806,840,969,888,310,
796,099,745,066,174,091,845,604,543,969,278,733,495,948,366,827,609,722,843,
664,485,631,903,555,696,301,654,807,466,481,381,264,128,267,029,502,156,932,
447,831,942,237,210,741,737,542,779,562,775,984,645,155,863,490,315,022,128,
447,449,644,681,001,848,130,496,272,101,729,315,138,969,275,756,219,566,825,
552,591,595,347,915,703,156,472,780,381,924,895,600,995,683,592,613,350,465,
190,450,394,149,317,128,836,856,788,157,146,057,262,409,118,961,178,607,312,
720,111,248,323,103,880,065,920,712,892,251,625,119,663,349,542,903,662,090,
381,357,624,687,542,412,709,811,555,844,698,303,369,876,412,932,633,562,788,
764,306,909,539,071,046,284,665,282,463,289,041,002,778,420,342,202,217,506,
953,025,561,302,258,331,043,332,023,683,804,725,636,402,647,407,687,491,860,
493,064,758,322,750,706,437,149,656,606,175,423,962,859,892,374,839,412,918,
806,143,170,784,967,425,126,924,015,812,765,577,448,697,646,609,644,275,029,
500,654,152,939,552,825,256,993,172,987,369,850,676,267,933,553,599,611,833,
995,937,274,109,481,991,321,612,370,814,203,437,644,140,400,792,657,968,308,
671,443,684,725,780,231,673,031,892,903,844,656,664,009,489,763,149,982,744,
627,926,575,112,498,912,107,961,489,467,375,050,812,674,084,854,902,628,223,
681,209,976,538,297,902,193,554,176,543,178,658,038,319,312,105,970,855,817,
381,952,830,879,454,112,141,200,448,012,532,449,835,802,081,573,415,018,672,
045,059,961,258,021,857,657,774,476,407,314,106,168,831,498,355,944,550,884,
090,844,319,737,812,783,851,178,569,336,166,819,585,005,411,834,264,776,868,
469,697,508,918,814,434,749,971,876,864,741,108,855,017,988,022,333,280,674,
774,911,192,416,925,773,140,512,729,152,582,089,622,472,993,022,783,977,952,
909,851,701,953,584,924,909,405,782,249,856,543,061,970,729,010,038,582,292,
853,666,085,062,620,461,427,342,747,891,163,174,213,888,674,940,646,486,147,
708,393,457,466,270,779,696,025,250,943,089,394,956,726,135,709,444,311,644,
290,180,015,328,090,086,311,730,902,123,101,695,842,685,588,048,172,503,439,
068,278,052,675,065,921,878,679,179,731,438,168,788,181,924,964,263,597,728,
738,335,023,306,154,697,893,173,613,700,435,128,893,225,934,928,179,209,533,
629,270,511,047,058,276,005,108,384,590,817,094,884,066,800,575,123,090,422,
094,226,608,028,765,167,907,517,617,868,330,226,442,385,433,286,062,415,006,
098,741,582,131,364,604,374,229,598,649,384,512,702,686,990,347,783,264,196,
473,799,167,003,850,921,783,516,126,641,657,088,971,310,587,316,668,459,949,
239,894,948,456,587,213,406,757,573,910,697,346,530,763,544,625,367,111,927,
610,311,042,252,419,525,112,523,334,287,753,881,998,230,263,904,285,413,201,
400,828,685,821,025,470,107,066,252,006,252,549,555,660,520,146,883,658,170,
750,163,626,865,815,796,885,238,653,409,550,943,371,603,449,349,334,765,530,
143,438,010,299,169,247,307,280,567,704,766,766,336,760,082,805,431,875,774,
372,720,681,826,576,093,106,339,896,318,969,263,300,307,446,472,991,749,653,
466,343,502,418,378,099,251,100,985,942,478,129,400,733,859,353,903,471,607,
103,589,615,375,624,271,328,812,828,673,855,334,581,082,157,991,861,786,996,
242,272,308,117,159,729,924,324,374,287,329,338,956,921,231,322,705,848,846,
639,999,027,799,692,112,706,544,125,675,184,872,228,534,714,518,409,681,727,
299,987,663,337,223,797,388,499,999,653,255,425,550,221,491,073,218,190,845,
731,580,820,598,773,669,564,630,970,609,713,554,454,949,143,653,602,616,919,
559,494,641,590,163,167,827,180,599,717,135,516,495,414,669,755,918,676,942,
001,040,063,189,281,303,707,829,622,181,587,004,703,157,412,542,049,220,901,
616,421,363,253,372,004,004,619,949,546,234,816,124,337,607,831,416,668,349,
460,722,044,355,482,336,548,928,618,380,257,738,024,385,013,410,095,004,000,
310,453,044,435,593,648,845,613,905,960,524,532,840,930,611,404,329,877,747,
639,902,545,112,159,157,635,160,532,638,722,785,158,265,701,464,017,842,069,
481,135,872,760,560,601,340,156,745,289,506,935,430,045,340,570,960,671,769,
021,313,146,789,159,095,339,988,934,405,342,795,464,561,082,956,173,225,566,
460,848,457,249,645,232,148,395,299,455,571,422,337,492,767,111,389,199,258,
420,988,343,879,885,574,209,964,057,713,391,198,572,788,407,953,957,424,706,
575,300,537,489,236,909,561,554,789,840,060,607,087,277,083,600,408,093,195,
882,484,209,455,113,908,195,460,810,951,444,230,604,678,971,275,235,297,599,
507,354,409,663,301,250,464,829,140,164,247,440,463,921,965,971,994,974,957,
094,822,055,450,583,143,142,214,526,253,357,216,229,827,668,407,108,085,748,
841,511,923,620,703,181,034,834,524,115,502,731,015,405,927,282,839,412,817,
340,665,997,988,458,856,680,141,398,371,110,839,764,211,783,702,315,651,576,
238,557,945,657,275,576,592,175,275,517,475,554,191,954,250,287,880,247,858,
649,176,162,080,623,535,082,738,636,060,872,652,628,927,919,011,835,030,635,
989,545,120,779,791,339,202,886,215,336,897,082,724,637,315,772,720,206,745,
196,257,133,793,931,671,103,329,287,710,620,832,969,708,905,099,200,974,156,
869,286,786,502,606,069,699,106,334,526,811,729,862,493,562,650,314,256,358,
496,597,411,019,192,316,434,289,085,363,959,173,935,882,915,219,539,662,995,
096,126,232,359,437,334,326,530,945,930,273,740,023,165,686,276,547,281,774,
278,844,697,168,767,863,022,325,733,237,604,420,341,619,519,129,069,815,089,
796,797,300,602,173,660,903,517,776,045,299,209,789,923,070,847,545,958,229,
675,929,445,055,573,394,938,914,895,902,777,594,019,946,021,780,404,757,105,
735,184,729,687,806,620,280,232,693,302,138,816,754,672,644,951,034,428,498,
139,606,720,013,673,723,562,099,083,930,866,882,676,639,091,582,464,868,787,
294,916,446,462,795,302,427,832,137,759,822,974,650,477,922,518,400,861,420,
360,018,278,557,947,238,469,847,503,663,232,392,457,855,270,959,330,786,581,
585,117,937,093,908,720,935,371,716,747,874,190,671,429,874,504,156,074,514,
029,834,576,732,605,522,212,058,561,011,779,444,905,494,639,942,094,512,038,
834,232,233,437,624,210,303,821,138,375,695,506,071,031,000,278,514,094,015,
874,327,522,219,663,925,499,583,063,114,678,425,265,736,965,590,794,357,659,
143,528,588,533,990,392,607,420,221,530,824,250,524,858,312,950,496,669,353,
596,460,136,299,948,675,152,150,736,353,487,820,092,867,242,334,996,122,712,
564,177,031,662,606,627,731,796,102,191,431,882,019,503,519,541,262,026,209,
595,109,537,235,295,406,396,570,377,211,509,769,588,234,603,612,307,872,147,
794,050,466,688,013,435,038,776,600,826,558,007,938,035,989,982,962,772,242,
161,610,975,574,763,749,511,923,264,904,047,184,820,810,120,256,105,523,066,
177,343,222,437,251,807,491,843,356,505,386,123,357,948,865,871,229,107,544,
063,870,098,820,439,877,508,741,751,652,770,267,173,240,356,307,200,079,674,
109,435,581,092,545,731,839,304,599,833,354,857,432,990,362,558,271,985,463,
893,566,964,961,933,465,780,167,176,357,506,977,720,064,010,939,403,284,945,
099,245,231,321,855,349,260,118,548,367,479,405,050,548,689,890,993,612,596,
873,204,646,734,086,908,725,829,177,152,575,645,175,245,737,304,959,468,839,
537,078,183,518,320,454,343,256,703,007,172,718,295,626,281,646,037,270,878,
404,105,842,250,564,180,237,101,191,713,221,542,426,026,001,617,232,567,788,
690,262,726,443,226,366,113,962,729,532,262,748,230,375,357,967,895,649,801,
827,910,064,635,788,807,746,274,213,137,815,191,530,818,953,724,485,338,533,
402,829,656,192,795,331,252,259,293,400,074,329,225,121,452,628,210,112,292,
251,801,952,853,767,020,962,894,508,767,964,527,093,866,541,997,015,352,899,
112,108,368,899,702,790,946,548,735,209,127,317,430,498,353,327,124,769,193,
379,650,010,685,252,808,504,618,833,816,370,246,632,949,878,885,575,958,890,
775,272,873,249,934,841,710,901,385,823,036,996,277,781,846,596,040,292,083,
591,014,931,231,300,017,805,929,900,681,137,355,566,812,505,491,644,011,962,
908,293,299,850,191,727,894,944,496,149,245,966,942,840,740,347,775,840,974,
138,510,633,462,859,958,373,074,392,272,512,032,351,114,912,657,104,323,734,
033,112,424,857,271,315,802,143,605,520,425,420,937,301,957,294,697,523,363,
025,819,878,098,424,388,621,165,943,255,754,145,720,865,701,193,025,877,383,
314,426,199,123,223,113,590,211,891,281,580,562,177,042,687,301,644,840,618,
531,431,719,716,773,248,986,105,506,136,621,827,692,722,940,736,493,581,136,
314,393,510,209,735,880,058,067,680,774,151,740,221,068,033,596,301,448,139,
877,160,329,906,069,903,500,786,256,565,380,933,874,792,534,254,019,411,135,
106,352,364,667,048,089,584,161,103,739,230,672,280,480,967,815,899,232,856,
960,002,892,811,216,301,901,973,885,652,055,037,198,913,559,684,425,591,923,
541,863,544,816,226,644,751,242,240,425,422,723,504,488,179,908,315,261,297,
783,479,224,531,228,422,605,058,312,729,795,605,298,503,927,503,000,678,845,
923,607,759,398,624,584,663,462,111,615,322,262,996,736,144,222,849,194,184,
859,440,821,542,392,344,636,780,901,477,290,996,257,217,061,816,741,577,530,
592,254,667,382,895,581,435,936,551,722,285,148,272,125,586,266,911,399,971,
384,221,881,473,552,910,184,893,839,503,807,434,812,277,352,576,640,541,741,
272,814,301,562,868,979,546,304,528,446,420,025,643,498,880,732,013,209,831,
663,959,087,276,480,134,722,624,128,634,922,547,914,523,752,323,253,142,738,
049,690,501,617,399,522,488,527,836,242,761,143,822,861,797,746,291,595,664,
647,428,419,626,352,051,593,173,309,334,771,167,655,261,150,622,991,387,754,
982,852,942,061,454,287,509,382,279,744,779,695,188,785,369,117,734,710,401,
165,949,529,884,664,439,642,487,135,297,290,628,853,791,173,017,045,425,452,
011,083,285,062,413,969,361,317,028,694,352,666,342,950,133,899,848,973,660,
289,146,100,606,835,505,334,273,954,040,990,298,692,558,643,592,804,897,737,
634,912,888,604,502,998,022,968,058,021,825,093,223,442,164,083,703,913,493,
108,314,947,534,147,715,521,256,040,130,807,716,158,446,512,188,215,806,647,
228,411,281,868,192,456,920,768,573,269,926,784,468,301,020,658,491,409,227,
775,059,962,907,941,791,448,656,320,552,815,640,919,298,765,349,598,458,144,
862,760,957,837,033,265,155,646,051,549,549,097,797,221,249,065,349,854,946,
276,633,676,691,266,074,807,304,799,612,028,679,859,143,706,480,096,317,920,
307,908,962,551,257,478,834,342,413,855,250,898,207,870,131,766,104,424,987,
225,699,895,930,929,563,784,363,561,059,106,725,826,956,785,159,653,530,098,
139,040,939,291,419,596,012,806,120,191,391,659,285,127,357,421,262,453,208,
144,197,793,469,202,325,457,783,060,803,751,455,582,596,667,257,780,101,926,
596,544,704,827,208,604,737,135,832,290,410,550,774,436,283,546,520,813,197,
572,789,790,721,433,082,584,399,659,709,424,500,502,871,156,723,515,754,740,
717,807,030,432,604,799,074,096,874,608,132,369,793,762,248,684,785,256,591,
424,078,592,136,863,919,623,135,430,249,013,201,381,140,068,184,279,803,509,
807,785,772,096,476,023,038,378,533,126,609,578,893,607,270,733,399,748,716,
551,760,747,314,706,704,469,635,826,415,301,350,323,631,864,841,864,929,548,
273,213,149,545,853,474,902,260,999,248,749,391,070,412,498,439,323,537,550,
746,018,110,046,241,502,923,084,270,148,060,024,141,758,522,560,715,877,129,
663,559,221,085,873,232,544,092,921,266,921,348,388,047,995,103,178,270,227,
119,985,632,111,327,844,178,787,490,943,136,881,665,236,298,326,159,785,765,
662,673,088,587,363,467,976,350,746,141,791,353,072,183,187,118,049,380,757,
380,443,797,439,172,925,827,988,755,364,711,693,370,242,424,695,289,879,528,
189,333,608,610,881,153,283,790,330,445,030,959,799,083,207,210,034,199,731,
822,741,194,264,755,842,308,715,678,171,372,262,475,929,272,583,854,186,161,
284,092,257,974,385,541,820,692,170,520,856,106,191,843,886,333,862,178,608,
742,181,059,563,320,555,657,815,348,345,094,360,251,336,339,147,758,873,853,
526,185,371,919,328,721,033,328,753,184,683,149,628,595,010,451,954,765,262,
417,372,546,536,536,428,049,133,296,309,119,767,376,339,276,925,000,246,521,
884,159,206,872,347,243,053,763,035,956,751,374,240,824,308,240,876,701,997,
213,617,966,444,603,364,204,154,848,478,060,788,731,064,018,576,900,387,842,
602,025,507,236,181,199,198,150,510,569,187,679,690,670,879,570,757,107,417,
126,143,621,898,382,025,468,989,494,120,013,896,886,260,111,450,240,582,459,
342,637,149,524,570,025,680,685,544,834,297,036,669,134,826,083,361,827,397,
194,862,299,341,526,539,386,089,801,755,705,950,076,981,666,168,725,820,664,
505,450,640,683,507,374,786,457,342,406,579,755,001,873,298,833,722,627,583,
220,688,530,377,499,817,688,702,430,100,486,021,470,491,674,805,995,331,048,
295,295,974,768,988,852,430,213,339,257,363,687,650,887,772,742,387,285,190,
173,588,337,246,543,455,499,317,157,832,818,622,538,554,356,878,522,863,316,
497,367,077,126,477,842,017,642,457,946,150,951,709,190,010,020,144,457,451,
285,332,666,694,656,169,161,583,481,196,759,683,299,587,330,793,748,038,925,
998,137,084,265,057,402,488,066,425,263,588,427,903,895,316,754,531,441,697,
548,410,425,410,439,011,903,452,896,650,910,237,896,072,483,848,963,025,187,
782,141,510,861,854,385,253,581,405,010,608,858,434,643,090,369,160,802,087,
583,732,040,681,255,910,607,506,949,222,034,423,530,023,978,047,852,247,001,
591,813,279,620,197,037,117,084,198,854,613,841,844,148,911,520,036,410,842,
272,401,530,234,978,850,407,769,142,091,188,253,467,788,625,173,592,319,099,
867,340,169,397,572,236,972,108,021,453,495,342,686,925,229,878,449,509,672,
406,607,772,387,235,121,023,788,921,670,197,719,306,043,826,005,510,656,475,
215,759,937,236,888,543,662,376,158,062,525,268,655,062,794,963,302,743,339,
908,242,586,919,855,069,693,147,057,847,048,224,344,567,308,740,642,820,613,
940,822,062,067,585,934,680,162,348,800,522,236,717,523,885,577,679,467,034,
150,629,577,890,884,150,151,968,282,308,576,677,387,018,209,680,531,836,977,
841,869,876,327,323,892,234,505,040,103,950,846,388,734,539,521,811,814,590,
014,298,896,824,455,257,629,515,568,774,586,317,222,890,142,005,304,665,731,
678,186,589,918,457,329,529,836,156,772,012,154,275,845,326,219,453,427,220,
261,491,523,183,554,397,094,356,397,839,064,322,718,812,372,480,139,018,706,
269,841,807,460,568,276,389,538,025,195,007,797,238,285,277,459,453,627,068,
323,114,921,804,014,656,835,505,117,093,004,322,353,766,350,517,225,746,455,
566,437,724,289,470,794,508,092,989,281,998,523,860,942,561,126,513,077,651,
209,511,333,462,361,420,586,154,763,644,034,753,105,331,008,224,363,241,082,
593,734,671,052,372,330,650,821,438,318,287,332,253,628,715,074,035,691,361,
125,075,548,253,633,726,454,689,595,748,135,853,170,683,248,305,347,710,054,
450,436,065,769,161,606,142,725,925,016,749,734,790,387,673,363,856,622,595,
276,761,198,507,019,717,048,903,041,797,003,927,551,210,340,167,481,660,898,
737,007,153,403,317,739,998,667,130,678,601,954,578,462,844,462,817,835,420,
800,879,330,895,875,992,497,045,321,719,800,469,675,234,834,178,731,041,924,
337,154,360,056,339,995,851,763,109,102,139,899,286,178,203,503,360,553,004,
874,889,828,721,944,843,324,397,834,354,666,251,998,560,723,206,836,628,731,
207,194,911,776,860,037,202,260,906,518,321,015,486,347,931,367,932,494,267,
936,805,260,879,813,130,933,397,612,235,703,947,092,395,575,682,010,799,740,
389,102,164,296,669,320,285,808,050,789,309,720,448,036,669,792,998,425,899,
412,321,991,773,496,796,154,843,627,287,451,916,161,345,508,881,629,938,960,
702,534,668,297,091,355,090,891,992,041,945,714,281,026,678,353,741,774,994,
761,538,016,233,218,894,829,738,945,749,894,741,354,119,259,226,356,681,469,
379,633,479,140,416,873,069,823,483,449,213,347,877,761,526,990,260,046,128,
502,168,608,591,903,528,834,294,103,737,261,706,642,385,614,655,854,762,346,
414,388,316,725,749,882,826,881,767,170,721,697,894,943,556,127,388,051,265,
628,031,723,585,849,488,351,366,625,881,654,319,075,556,788,098,455,453,037,
820,352,443,469,596,983,730,011,069,786,451,456,197,358,876,791,575,120,720,
151,548,094,406,529,958,668,215,541,270,686,998,907,710,673,434,982,363,686,
313,022,383,485,119,437,120,461,111,750,766,120,703,013,477,256,529,140,973,
746,887,817,118,468,621,622,476,889,780,993,802,551,510,254,999,864,386,975,
301,717,691,573,597,203,092,788,921,361,823,193,925,834,592,121,117,063,147,
006,466,225,713,034,150,893,074,996,186,268,262,060,767,732,283,755,076,388,
072,882,298,488,199,628,704,231,904,399,506,490,241,263,064,353,220,274,589,
309,851,398,914,539,179,971,081,602,295,116,261,709,056,781,662,137,912,330,
282,643,264,257,291,044,832,733,422,454,312,230,173,379,505,091,874,834,644,
062,304,107,917,084,725,304,982,771,159,915,876,791,533,157,833,405,835,889,
646,687,683,489,582,072,294,243,039,371,489,947,639,106,266,458,557,702,411,
578,531,414,581,074,800,602,206,331,907,444,047,274,585,564,469,881,151,020,
813,344,901,315,500,350,944,327,498,410,128,667,557,007,827,939,027,225,901,
145,548,605,110,128,245,663,417,558,022,706,174,668,215,561,462,772,543,089,
367,562,974,118,271,044,590,448,517,535,976,776,956,756,994,363,498,200,177,
376,457,192,521,581,347,706,752,567,413,428,739,512,165,254,880,043,581,335,
664,098,380,540,775,875,290,740,111,352,170,680,305,816,533,029,968,414,343,
894,499,422,907,464,997,400,120,555,124,251,263,900,100,278,345,213,151,328,
088,028,808,285,464,683,546,509,665,382,977,405,585,935,868,528,327,553,546,
426,791,093,024,898,219,936,895,385,552,533,606,956,001,046,368,820,402,974,
474,001,005,909,527,679,444,610,684,879,695,354,171,190,325,192,718,320,370,
062,118,237,123,927,312,706,750,047,176,895,165,468,524,819,587,700,776,689,
498,198,228,859,507,968,005,914,633,177,877,355,876,358,412,673,319,930,826,
415,272,840,602,954,396,033,416,083,693,713,484,938,982,165,310,717,980,604,
216,018,814,018,134,834,251,689,325,426,435,094,518,797,477,475,606,689,342,
925,614,468,198,835,989,510,861,893,348,280,560,314,249,465,106,134,890,950,
811,661,628,404,236,393,914,611,782,079,397,797,650,810,464,251,890,481,174,
082,914,879,063,111,074,865,203,868,322,003,272,942,982,331,536,000,844,455,
949,023,106,930,756,461,651,235,977,193,729,310,680,044,472,913,867,676,461,
537,926,926,251,895,019,274,605,910,642,881,339,031,700,424,741,213,062,570,
214,174,613,894,508,438,712,489,088,375,552,459,276,195,685,871,813,523,924,
250,666,798,658,910,583,241,812,549,119,386,301,739,608,772,492,684,635,939,
383,441,260,523,870,971,605,630,198,380,832,780,135,265,334,404,029,369,229,
144,374,292,205,915,175,948,813,841,813,822,025,658,719,662,924,411,093,630,
583,435,950,186,071,565,259,670,677,909,999,229,349,144,283,583,406,812,119,
671,415,667,622,017,514,802,119,003,141,356,556,437,467,303,777,511,719,864,
483,070,105,505,426,792,689,747,108,515,089,637,209,843,393,117,989,817,653,
829,956,438,502,074,339,998,708,828,892,349,456,285,914,996,744,221,235,578,
629,470,969,986,983,496,629,980,532,923,149,643,729,128,749,428,466,529,527,
911,725,281,356,819,441,757,012,854,762,828,912,340,460,643,030,721,481,873,
335,959,462,574,214,521,660,704,529,709,882,368,021,718,558,231,747,922,531,
043,232,842,626,187,364,377,027,237,857,762,787,460,559,236,339,801,876,746,
456,044,145,440,250,319,137,444,176,917,424,590,084,153,891,647,619,971,178,
719,310,292,642,553,762,296,354,667,175,860,760,567,284,617,245,669,662,963,
119,500,047,923,297,209,994,731,560,044,010,366,686,487,485,557,422,686,149,
758,670,785,409,197,082,321,166,372,203,368,536,980,239,901,021,668,586,803,
180,344,615,878,305,337,852,752,812,461,846,750,193,293,529,788,072,412,905,
679,555,243,892,878,426,163,318,247,609,526,496,893,316,487,614,856,496,327,
777,181,382,263,022,803,876,864,768,563,898,030,048,945,047,384,166,777,258,
141,299,612,553,140,455,904,532,326,514,740,814,487,010,876,065,580,427,408,
163,417,567,395,351,536,629,832,566,456,887,311,381,279,601,689,099,602,838,
981,970,458,643,579,442,164,283,609,035,935,088,840,302,697,333,686,646,631,
863,193,803,248,698,891,148,114,745,230,277,039,249,489,206,995,201,575,964,
045,813,911,230,020,025,246,956,794,564,208,578,312,908,636,444,284,592,571,
559,522,369,362,612,868,706,810,138,867,609,786,209,026,020,576,422,929,256,
187,530,653,844,815,388,740,924,518,314,086,771,764,808,156,936,109,628,374,
995,416,288,682,245,749,862,866,789,683,557,736,059,954,805,051,897,115,765,
876,647,663,862,351,326,220,913,832,591,272,912,983,820,166,520,651,420,785,
201,711,977,127,306,268,342,643,350,562,471,830,093,329,070,192,104,993,920,
752,226,458,779,930,846,440,339,179,517,892,433,844,046,291,176,794,944,643,
334,591,363,389,148,038,167,096,486,178,135,755,828,647,702,453,620,614,126,
536,177,676,413,193,353,966,576,039,294,802,099,908,098,858,923,533,421,214,
908,381,594,448,233,098,878,682,260,285,906,040,326,853,116,912,953,436,831,
202,699,756,051,528,165,896,732,472,354,055,270,028,270,651,699,717,731,750,
954,366,851,432,226,172,669,946,253,307,193,417,301,896,309,361,943,749,298,
164,525,050,170,945,226,573,992,830,907,128,732,722,744,087,805,460,698,993,
492,104,232,726,894,054,418,269,807,419,421,757,617,713,583,836,034,766,305,
240,906,393,736,110,555,962,119,180,705,795,479,654,265,008,199,614,606,748,
305,981,103,199,522,970,684,720,052,281,577,819,039,710,112,966,765,140,923,
150,232,598,028,252,750,145,450,301,646,189,177,328,691,047,157,093,315,871,
644,126,492,435,492,431,077,943,911,484,201,076,365,637,039,466,967,844,195,
615,993,949,231,476,865,631,127,991,083,354,317,900,753,541,694,618,365,716,
594,261,992,624,483,276,352,774,681,631,028,381,890,969,011,191,825,229,680,
835,785,871,249,813,838,532,172,770,114,237,997,264,649,495,289,436,827,813,
550,913,235,463,393,052,137,995,405,738,268,666,199,737,271,505,634,410,601,
806,540,278,400,790,093,294,453,410,651,233,186,447,434,706,363,179,229,612,
067,948,230,960,104,651,604,851,139,792,857,482,742,441,389,490,643,550,889,
379,100,153,455,386,798,987,247,155,588,529,471,966,689,851,490,984,884,471,
467,191,421,203,554,055,832,289,573,355,220,165,268,648,087,924,229,404,849,
552,010,314,662,100,998,495,193,130,592,603,869,632,701,127,726,000,858,795,
085,185,746,693,897,262,251,017,414,012,567,400,047,427,177,150,185,188,708,
723,577,925,894,810,358,369,537,809,322,728,960,235,419,948,604,086,861,311,
766,060,195,662,847,787,163,526,484,492,206,330,914,175,587,940,649,513,447,
052,603,313,488,749,480,122,354,390,776,592,855,931,815,711,587,502,902,064,
282,594,346,596,472,221,746,348,805,174,428,845,220,578,621,183,902,216,546,
652,588,411,725,428,735,522,113,075,222,268,168,139,591,727,435,552,011,878,
733,610,005,756,525,713,231,344,404,323,450,698,944,054,825,829,795,762,721,
506,351,626,165,948,311,756,802,620,753,332,162,316,132,062,456,957,791,938,
873,691,503,586,886,909,967,679,524,853,364,945,455,664,861,188,475,970,043,
571,593,262,958,445,727,926,743,566,472,302,907,866,017,191,403,362,100,340,
578,765,086,631,895,780,642,184,864,776,807,256,741,016,130,787,983,791,072,
989,887,577,951,132,192,898,402,828,097,910,252,641,566,589,165,279,885,204,
093,361,693,225,285,489,217,578,839,538,251,349,730,037,671,387,448,990,513,
742,574,039,853,801,472,083,668,470,461,947,777,607,279,231,959,894,882,913,
252,814,721,602,297,668,282,420,108,408,680,588,990,740,565,545,152,530,665,
762,761,577,698,536,917,898,878,830,638,601,303,711,078,039,999,162,700,290,
295,113,907,269,091,094,196,400,932,425,380,349,398,254,877,525,844,430,613,
545,596,366,146,622,006,779,205,874,714,760,199,754,707,113,148,940,687,507,
817,482,896,585,111,801,966,937,349,969,349,064,717,654,169,776,811,336,337,
222,726,377,887,800,064,445,333,736,346,661,091,152,600,455,319,217,469,324,
798,721,548,138,891,453,650,599,263,914,972,297,887,309,584,605,080,422,414,
979,523,085,525,332,550,894,777,884,716,984,205,119,114,367,046,804,139,865,
458,163,364,736,092,859,059,586,013,846,440,839,330,854,550,860,895,102,477,
203,942,320,400,946,788,149,757,215,543,102,488,461,009,213,825,742,738,208,
499,472,036,700,579,547,079,284,434,140,943,489,540,622,075,400,348,340,677,
861,626,401,646,610,802,632,091,694,081,228,220,084,842,728,101,832,620,240,
834,371,378,922,664,846,682,152,277,102,082,526,694,865,700,825,487,213,322,
462,206,678,993,116,978,046,126,236,406,349,648,392,688,016,500,509,827,429,
471,074,729,688,454,193,852,408,886,168,276,274,898,562,001,383,377,579,933,
959,718,107,927,767,572,137,339,812,485,902,125,347,416,647,912,673,314,357,
445,056,405,668,129,785,011,044,548,683,450,842,181,921,439,011,735,230,156,
247,385,113,820,936,532,446,870,399,684,484,815,376,704,730,557,376,458,488,
373,966,874,373,028,154,539,923,413,428,084,216,188,868,796,298,224,563,182,
942,600,024,162,559,445,444,477,743,579,385,170,329,266,608,670,525,728,758,
805,773,555,025,622,799,115,663,489,049,193,928,477,228,818,244,492,125,696,
713,933,340,331,508,477,989,391,287,836,258,214,684,598,772,491,005,544,471,
105,491,743,447,513,395,000,011,002,997,060,110,893,871,100,311,279,058,936,
762,380,588,115,467,260,420,176,622,072,166,985,425,088,542,697,818,031,432,
723,823,052,025,627,438,886,104,986,775,526,303,074,886,826,990,008,370,061,
004,911,061,152,880,536,404,970,539,083,746,498,143,069,859,275,115,644,166,
502,420,292,408,542,077,635,306,110,477,313,538,752,448,030,356,267,225,124,
734,656,078,944,701,826,947,479,546,872,536,340,539,364,614,574,616,094,010,
320,744,819,321,774,779,673,138,866,395,459,209,440,180,986,900,282,498,459,
677,997,632,790,423,230,627,964,350,711,076,404,265,840,886,048,386,685,734,
424,470,547,988,891,491,683,455,895,751,271,175,550,268,372,578,333,813,124,
323,568,258,663,546,621,583,891,288,539,637,412,003,649,629,886,140,351,554,
763,361,013,958,817,533,684,239,866,309,376,541,521,408,838,039,312,598,982,
401,910,337,460,449,041,473,033,080,127,152,359,094,225,270,772,179,062,106,
931,153,683,274,808,794,519,015,069,123,199,375,110,836,309,507,914,372,712,
939,978,673,164,451,146,749,786,771,820,914,946,050,786,732,586,993,216,056,
149,955,549,019,358,648,285,460,411,971,982,090,561,288,314,763,198,013,754,
296,608,571,649,690,879,668,121,159,251,584,218,439,789,105,163,711,918,599,
987,871,032,138,023,027,080,203,568,216,805,160,911,698,566,321,766,804,747,
461,225,070,772,540,071,431,495,989,628,353,680,067,333,567,495,014,790,618,
555,551,597,228,769,727,131,029,333,439,811,509,672,738,113,175,515,503,091,
180,959,336,253,197,548,820,013,117,881,127,150,334,123,088,432,667,403,389,
098,617,521,874,016,410,330,952,698,514,942,979,227,833,238,767,334,333,867,
500,134,875,290,900,420,266,909,371,795,383,089,272,178,615,066,834,932,945,
864,085,295,229,851,453,463,806,724,506,267,410,862,700,277,972,353,944,778,
788,431,469,444,064,660,670,349,018,526,687,759,983,729,691,738,040,207,054,
064,236,835,840,490,433,969,866,068,134,564,659,992,441,223,826,765,669,956,
189,848,545,751,320,036,505,204,547,806,213,406,587,373,454,853,072,229,275,
729,015,286,331,209,849,719,431,295,632,269,109,150,525,711,931,911,318,095,
877,680,836,588,182,759,997,477,133,467,418,803,524,234,773,427,797,308,637,
584,000,446,548,823,951,087,825,538,677,441,050,061,502,033,295,486,765,318,
839,265,959,882,496,625,879,750,422,365,916,986,087,760,509,380,076,175,573,
803,294,249,386,067,160,561,934,830,045,970,516,368,384,329,091,284,433,663,
844,980,303,725,858,741,304,994,837,390,024,463,747,100,566,369,735,089,666,
365,933,718,545,782,914,181,881,250,151,019,095,104,086,241,988,557,871,916,
360,785,499,347,374,528,439,678,258,038,648,581,748,324,509,965,533,282,117,
295,478,723,901,754,734,374,302,344,418,319,889,515,767,926,453,975,449,968,
094,064,905,797,284,117,085,753,175,811,860,144,203,471,039,073,410,688,385,
615,057,755,539,877,697,171,515,666,079,489,908,781,243,904,553,135,008,686,
085,174,481,226,920,173,794,729,808,158,415,384,402,926,107,760,356,488,558,
508,845,714,255,641,940,153,168,271,355,412,151,679,693,184,423,163,035,509,
613,777,888,280,485,474,880,089,811,847,507,062,787,933,143,422,493,480,760,
408,689,870,012,388,461,722,948,352,467,925,111,578,723,520,290,963,531,047,
120,547,576,165,612,328,877,610,533,538,959,179,887,785,086,707,890,621,528,
037,525,345,211,705,838,472,724,915,999,232,161,224,793,041,297,803,752,740,
077,029,440,281,525,279,627,691,231,519,464,081,499,321,273,219,628,233,807,
219,709,948,535,624,103,265,236,474,191,857,353,489,225,061,840,595,748,741,
851,642,724,436,220,276,908,427,716,472,730,860,096,552,459,381,436,747,783,
105,985,208,852,130,268,153,224,840,726,183,752,910,075,599,564,899,833,208,
960,470,486,444,054,437,501,394,835,659,305,977,331,853,003,651,054,453,589,
038,126,141,078,512,052,722,877,897,282,039,447,656,413,387,299,578,196,757,
230,433,471,631,123,811,084,431,519,454,853,008,377,160,674,433,237,515,350,
830,860,627,580,280,090,342,295,506,369,151,581,221,654,464,238,601,072,983,
960,775,775,882,386,149,653,970,477,346,500,738,250,700,950,660,900,938,186,
392,196,032,497,582,429,720,016,050,927,638,071,190,293,888,166,396,289,360,
711,200,392,409,973,869,960,128,167,255,545,721,107,459,366,894,915,975,591,
748,978,438,264,154,985,004,775,387,671,994,960,231,104,562,620,054,396,518,
655,160,473,196,572,854,761,431,200,748,940,775,100,796,397,966,506,380,463,
783,548,864,344,895,164,203,238,177,228,733,864,565,071,735,192,968,345,300,
449,363,075,413,099,893,409,616,761,491,005,227,758,651,881,872,884,313,660,
761,843,340,611,188,433,343,992,978,798,139,543,525,677,388,453,331,712,828,
116,809,507,977,901,952,924,396,254,953,440,654,195,264,911,860,602,702,811,
146,569,913,968,655,496,786,873,482,292,453,426,324,887,917,392,382,772,839,
659,663,904,829,750,649,682,607,486,152,201,941,122,597,627,583,897,083,547,
181,669,285,454,001,994,337,609,055,955,225,061,061,584,357,778,999,294,685,
738,939,187,745,482,171,937,916,261,262,843,404,817,741,755,125,571,853,778,
143,272,392,808,271,633,546,281,451,023,143,594,802,823,158,592,568,212,580,
247,237,183,915,545,082,053,541,589,171,064,365,655,662,920,267,677,530,990,
324,935,950,831,478,574,549,738,414,217,004,112,717,021,712,764,216,604,353,
118,968,220,380,779,201,073,858,580,363,180,695,599,107,522,501,065,947,002,
453,969,177,615,607,342,007,482,498,471,722,358,682,096,414,538,699,570,949,
309,157,659,772,518,077,127,204,598,116,608,368,278,013,059,502,904,183,058,
855,690,922,360,605,532,394,560,637,106,360,887,709,673,111,763,298,905,079,
735,743,267,893,556,770,846,070,460,896,742,130,242,473,927,970,637,740,627,
772,491,461,907,820,706,881,766,464,218,713,638,841,648,801,195,920,972,811,
537,088,674,956,369,083,271,898,289,548,637,843,629,196,461,316,871,579,604,
460,146,299,977,378,183,215,882,847,104,559,973,302,050,654,771,364,836,103,
849,553,012,392,322,387,040,428,589,491,620,779,310,669,067,447,052,007,790,
692,449,751,271,031,425,851,573,700,494,096,078,704,219,409,114,815,619,546,
607,869,589,705,403,975,173,329,544,771,760,839,571,844,160,566,840,111,414,
429,859,958,000,168,459,044,030,121,142,340,679,999,880,853,154,085,675,951,
848,878,540,895,649,773,758,146,289,905,121,530,775,255,681,060,057,701,790,
589,157,886,996,176,744,958,174,925,779,111,321,407,211,761,312,884,506,706,
541,741,019,673,139,146,040,266,876,651,703,207,918,865,821,591,143,264,979,
172,625,883,089,738,164,015,250,213,638,840,973,998,719,813,037,242,304,396,
061,684,994,786,250,189,968,111,346,469,929,148,686,301,860,875,112,266,376,
180,657,666,928,668,014,239,475,852,446,457,273,309,843,345,775,062,034,171,
021,314,920,016,642,145,316,894,657,212,716,801,112,471,232,787,214,121,724,
824,154,524,302,042,979,493,686,069,569,871,240,972,211,096,674,796,968,978,
313,958,577,895,193,809,046,025,564,555,927,354,663,681,185,740,699,356,430,
584,448,590,977,137,317,506,464,492,127,487,096,245,442,542,442,628,008,290,
400,864,660,807,361,624,006,934,371,650,094,686,786,381,184,965,099,701,256,
748,997,404,721,298,762,361,072,038,984,794,038,584,890,657,222,988,442,739,
211,432,818,755,810,842,575,953,594,437,721,823,681,483,974,525,605,044,508,
811,810,995,335,709,264,372,050,829,970,545,340,907,402,001,067,727,732,728,
900,574,666,574,350,230,959,469,548,921,972,101,131,169,966,586,972,161,661,
284,389,770,072,359,231,518,994,376,402,480,423,521,944,668,375,229,439,563,
897,513,240,136,332,619,910,332,696,700,989,982,741,407,971,866,926,082,266,
681,732,795,171,889,459,149,715,009,842,934,291,538,315,443,083,089,161,517,
813,211,271,839,131,258,849,165,859,670,988,329,650,741,881,356,273,838,732,
119,928,384,178,343,266,960,850,396,002,342,653,175,694,700,024,665,966,735,
694,815,308,391,771,588,034,250,971,617,143,665,449,430,879,656,051,522,434,
502,388,548,786,879,465,181,697,319,787,226,037,108,481,638,621,565,609,994,
926,663,212,414,862,380,880,125,598,490,202,649,916,628,205,993,932,304,917,
036,013,187,124,119,058,704,529,610,276,814,912,161,656,752,629,645,720,274,
769,536,710,773,529,894,432,709,321,327,976,059,940,602,982,151,609,249,779,
967,790,674,262,956,731,635,435,455,211,833,585,629,476,067,247,352,762,508,
520,180,180,927,593,637,707,391,357,012,426,559,499,138,052,672,749,517,359,
320,055,261,605,430,316,833,205,585,555,430,236,788,447,980,394,023,105,701,
575,099,857,773,535,008,205,404,273,585,569,597,356,555,635,616,861,595,783,
230,759,520,025,492,157,913,669,574,889,303,670,929,055,989,457,105,310,309,
772,285,817,717,491,101,268,236,244,849,577,522,038,009,543,522,419,202,596,
992,964,793,001,725,742,109,919,416,688,388,726,473,211,143,437,254,686,135,
140,924,544,822,147,098,462,787,659,873,209,565,257,216,459,344,970,732,537,
792,748,213,433,472,792,742,386,393,583,227,018,643,262,639,634,392,018,990,
679,694,528,942,929,021,524,098,940,364,374,848,939,249,425,267,715,519,043,
880,291,021,558,816,356,729,438,590,254,435,614,550,257,073,092,123,399,214,
979,707,724,557,403,530,285,497,888,927,719,053,542,215,059,154,486,108,384,
268,960,329,364,888,099,190,473,833,809,947,792,025,362,245,336,553,477,878,
918,541,397,633,067,095,056,727,314,020,063,581,181,326,121,355,000,985,345,
480,771,664,635,280,531,725,069,921,150,973,687,031,967,493,773,993,879,839,
141,752,045,982,214,532,999,064,689,129,962,308,587,425,889,233,685,693,050,
733,760,790,843,612,214,775,582,215,419,841,570,497,793,972,397,832,524,338,
992,080,243,055,730,932,918,967,757,081,349,460,800,820,251,449,989,805,501,
808,349,455,915,659,723,997,909,169,923,624,228,973,400,700,652,086,465,210,
223,072,640,510,632,102,101,688,142,649,096,513,110,918,857,515,572,535,774,
545,729,286,284,706,875,614,357,932,065,891,268,039,303,170,942,899,251,619,
718,812,947,116,981,701,156,814,537,749,978,645,595,364,703,389,996,833,142,
851,714,005,900,403,450,297,355,214,502,073,030,980,726,118,997,177,826,851,
209,390,762,837,662,698,792,530,109,902,159,953,925,181,518,756,963,866,724,
818,304,606,919,136,369,730,680,498,328,517,437,885,322,358,393,557,749,505,
990,176,431,491,893,325,372,057,651,228,133,463,558,039,487,914,954,392,310,
932,139,096,227,677,394,955,791,455,938,365,987,555,132,133,754,099,345,936,
420,817,748,304,463,884,712,558,152,661,545,353,975,922,585,216,432,080,913,
709,313,475,033,694,542,668,214,240,535,177,148,081,164,838,529,488,494,780,
271,240,858,995,945,714,834,648,572,227,577,664,140,470,752,344,517,589,876,
906,964,588,205,697,515,225,561,356,472,813,554,584,041,729,427,124,235,353,
280,660,406,177,939,327,218,226,989,399,429,438,683,491,560,219,246,381,908,
135,961,868,863,252,536,086,711,783,060,829,125,329,834,780,107,339,752,777,
157,938,095,256,630,169,790,203,968,274,687,916,822,494,375,489,882,542,210,
309,634,725,452,766,683,887,955,949,103,235,949,945,540,319,981,862,768,695,
807,886,275,085,880,062,047,381,041,642,786,613,290,699,612,001,879,348,221,
614,294,551,183,442,929,937,464,442,084,749,523,544,198,173,056,165,484,472,
138,152,787,045,357,882,488,952,740,851,072,312,150,840,762,912,762,276,497,
407,083,371,432,227,364,441,088,486,358,100,518,363,759,430,298,350,471,926,
998,684,400,375,482,578,419,194,881,535,785,553,415,021,187,976,820,756,424,
241,931,044,948,974,049,209,014,931,740,275,468,324,532,841,766,958,243,995,
081,887,900,516,303,391,553,861,304,178,760,947,726,763,902,419,128,353,259,
905,928,524,186,701,375,602,179,901,265,979,529,812,234,576,539,685,391,077,
267,867,334,776,614,992,462,105,230,879,485,405,229,788,764,814,006,711,563,
675,109,906,047,203,767,068,436,508,570,197,528,584,802,643,474,767,444,526,
383,968,395,339,181,254,270,371,000,255,899,608,854,056,575,887,914,772,242,
785,271,697,676,293,719,338,639,622,456,217,477,964,998,261,968,176,258,524,
014,262,649,607,912,012,442,646,936,277,047,914,498,155,560,245,546,104,427,
688,591,591,999,633,288,844,218,991,457,042,868,659,110,228,087,458,974,195,
265,837,843,816,515,951,517,219,345,470,718,086,245,799,020,763,130,956,699,
802,272,452,509,347,430,240,139,509,431,179,820,303,200,932,820,073,948,690,
887,392,332,614,335,765,929,229,494,906,544,518,082,149,285,727,970,860,598,
922,303,880,645,098,027,897,396,395,943,661,486,750,278,158,900,270,158,398,
911,402,045,396,834,133,001,433,108,465,329,559,851,168,519,709,143,345,181,
551,598,467,409,246,618,786,123,956,480,193,492,584,315,564,713,976,172,635,
769,072,017,747,061,818,224,744,950,880,169,302,065,925,835,892,368,096,001,
814,607,869,957,481,519,160,106,671,412,987,026,193,253,830,700,878,506,045,
805,862,522,099,959,886,601,762,973,121,826,002,067,422,381,562,195,599,922,
882,054,765,811,288,701,438,763,944,707,476,926,611,336,218,723,624,438,732,
058,767,036,039,987,925,127,186,106,689,368,296,918,579,624,347,180,434,516,
062,357,654,386,466,887,459,224,882,420,325,173,205,025,557,413,500,417,666,
676,831,816,924,352,984,834,647,173,265,199,674,547,699,158,715,800,418,471,
023,336,711,801,000,172,289,471,417,832,568,575,102,483,977,556,042,356,438,
039,210,553,509,006,467,600,632,968,479,595,822,745,369,582,371,763,209,943,
131,794,712,195,595,364,671,567,065,674,433,892,086,265,352,089,661,335,395,
063,447,652,746,996,998,509,292,550,602,526,172,377,133,975,583,679,790,541,
983,930,471,575,102,247,853,519,373,319,644,155,416,639,307,778,798,008,241,
548,502,656,049,870,785,680,190,698,327,746,215,071,856,253,934,859,087,949,
735,279,433,832,547,399,798,835,543,261,112,446,870,818,909,195,401,802,673,
054,252,614,712,849,024,202,314,267,514,278,668,853,268,649,118,928,354,558,
234,650,452,514,502,858,068,408,298,135,505,826,920,898,430,046,165,305,763,
448,957,264,125,411,279,575,699,512,019,248,637,045,901,249,941,980,385,347,
681,418,547,126,400,695,884,236,723,021,395,848,455,061,489,078,843,112,888,
416,415,186,761,162,300,141,738,752,439,927,718,236,262,623,484,398,002,705,
220,602,229,385,520,466,425,738,665,556,382,006,897,284,760,325,772,733,972,
270,849,174,868,323,677,098,052,487,167,831,725,151,934,142,569,414,120,749,
234,434,756,381,966,033,178,228,466,744,907,260,331,043,154,712,551,737,245,
399,656,942,967,842,620,888,394,526,992,035,899,241,955,920,594,755,708,432,
023,053,605,630,239,151,148,365,478,318,101,482,479,254,279,178,907,028,564,
742,750,736,669,143,388,912,883,726,350,267,395,871,771,487,206,070,508,728,
731,385,977,519,394,036,809,758,883,998,235,229,083,159,123,644,610,010,531,
424,277,227,303,780,182,046,567,876,530,409,808,585,058,671,383,238,535,419,
736,576,621,300,858,241,488,032,146,017,257,841,825,065,549,926,758,184,105,
467,095,966,429,393,605,162,628,296,596,639,509,083,219,405,815,369,659,260,
597,958,096,408,167,174,726,821,845,257,090,231,783,032,398,455,467,026,323,
240,645,557,689,404,305,768,073,528,025,131,101,213,445,131,245,163,771,476,
995,563,589,362,326,462,499,970,269,143,422,068,699,912,266,894,259,220,177,
077,338,222,501,436,310,430,165,280,344,640,002,184,491,424,134,672,028,102,
531,611,789,867,412,146,878,163,174,858,674,494,028,475,484,422,067,452,655,
287,716,775,275,463,065,959,847,239,454,086,990,262,293,562,505,032,882,140,
890,382,853,441,586,343,113,498,209,850,937,662,399,879,849,522,608,591,198,
186,484,290,536,836,237,272,455,676,640,374,386,519,572,896,895,920,992,544,
813,630,401,726,535,114,067,222,210,844,539,039,977,214,887,594,255,767,012,
844,292,771,134,180,069,509,846,401,446,164,991,202,901,024,645,801,369,803,
372,565,085,163,075,110,344,074,191,558,764,240,730,720,935,944,874,458,249,
482,851,788,554,459,258,973,707,853,566,159,165,097,996,436,499,718,432,814,
357,556,800,341,662,821,526,322,401,782,663,638,389,925,603,960,311,618,766,
904,357,070,811,184,081,115,419,289,097,656,608,005,456,022,377,289,432,580,
944,562,205,253,486,959,239,434,696,736,785,219,683,258,383,617,531,703,722,
115,949,719,590,469,787,707,812,447,726,680,385,348,489,916,504,776,247,352,
308,694,371,446,917,980,075,514,226,775,586,923,393,925,430,962,224,929,297,
715,390,012,452,452,765,227,137,067,130,434,060,180,479,618,755,526,577,217,
552,149,319,880,912,370,355,088,351,038,706,653,123,225,642,407,934,372,143,
971,422,324,236,048,079,927,310,110,352,558,859,932,571,239,803,465,500,878,
687,555,296,586,975,748,079,543,526,145,912,851,142,891,757,737,898,037,649,
499,302,979,394,423,730,074,039,817,308,927,176,180,319,972,559,754,494,413,
301,378,563,288,086,571,139,895,352,024,762,426,819,976,184,327,875,432,712,
703,992,169,307,434,343,834,266,654,199,156,428,875,344,671,525,364,183,717,
111,318,843,606,488,695,528,565,073,508,523,278,766,520,926,185,587,145,576,
813,217,095,024,567,614,075,377,103,215,336,027,656,075,920,984,494,363,869,
705,144,864,186,872,874,387,198,497,044,920,188,630,128,183,530,386,966,544,
940,032,472,597,001,897,887,291,385,362,858,460,957,805,132,292,155,136,427,
117,504,486,951,281,489,082,421,561,213,562,093,882,110,662,453,701,547,428,
322,102,260,024,336,190,168,445,204,649,569,391,376,916,362,717,998,610,100,
209,856,584,641,106,193,580,304,186,701,104,763,181,951,960,035,548,528,808,
352,210,583,564,652,091,680,908,854,017,681,586,644,134,509,113,978,453,247,
929,832,284,590,168,990,704,175,807,302,222,004,165,405,095,442,027,298,213,
841,126,728,200,119,990,707,405,148,017,898,693,930,682,852,553,211,888,443,
089,760,059,336,707,726,777,866,735,903,527,872,551,564,867,471,625,739,365,
875,839,105,846,278,251,964,478,091,778,466,245,272,646,417,200,388,667,420,
921,809,264,184,084,782,878,052,536,557,282,119,404,442,914,144,112,087,037,
177,914,804,089,369,177,358,189,497,212,764,894,367,462,457,734,302,705,972,
669,020,368,802,333,126,660,370,738,650,013,937,838,447,973,953,937,438,095,
192,221,771,114,008,481,917,755,925,589,114,468,364,064,694,692,158,870,027,
915,910,181,364,460,424,408,326,203,882,181,773,665,795,162,016,691,342,783,
592,281,916,262,260,958,051,354,620,462,678,837,576,900,132,521,184,624,045,
274,094,488,873,791,586,319,208,717,420,626,819,968,552,570,431,028,083,564,
335,859,394,255,217,841,603,464,622,563,554,981,390,458,373,025,472,018,448,
134,645,192,555,518,259,089,736,469,217,297,694,916,325,308,140,469,288,916,
370,711,384,563,745,163,813,537,297,311,155,831,968,276,014,865,726,754,590,
304,392,478,804,312,723,235,088,510,188,149,212,681,879,706,829,549,272,429,
288,345,419,010,461,203,518,076,951,890,444,251,218,661,869,131,684,327,089,
749,368,540,950,540,514,829,238,214,226,132,535,374,881,321,075,483,624,246,
435,444,391,341,833,885,832,162,040,146,129,678,415,074,368,615,762,724,157,
367,534,685,039,253,819,741,768,931,855,017,955,088,325,376,162,122,577,036,
316,898,597,495,319,830,239,455,754,109,828,190,872,661,889,058,551,037,840,
696,979,000,597,270,130,287,425,681,743,617,241,534,023,700,239,740,708,023,
740,282,982,922,194,173,914,355,188,483,703,663,959,280,750,972,228,554,908,
265,688,989,376,782,728,830,602,731,560,402,074,854,304,964,756,375,376,933,
155,050,944,052,151,188,410,239,865,593,792,316,965,478,676,893,645,109,578,
944,855,098,679,967,502,570,236,377,133,177,911,962,316,262,322,177,900,076,
764,396,796,384,477,777,938,243,284,449,369,163,025,954,780,135,291,802,864,
824,223,024,386,866,886,287,772,522,360,468,435,665,261,474,608,381,270,997,
061,293,275,580,683,184,314,000,173,197,213,231,500,453,244,996,795,088,290,
538,613,562,293,502,752,690,352,010,741,199,736,374,776,953,363,578,648,628,
517,991,857,812,904,259,220,274,104,546,727,524,042,890,450,951,929,090,898,
003,843,074,193,796,476,249,813,497,159,211,970,475,116,548,140,070,111,354,
523,484,860,060,810,939,522,047,390,060,156,404,425,427,348,030,494,162,921,
942,863,563,286,250,225,786,530,097,081,036,587,954,111,245,673,207,637,965,
836,852,379,283,009,637,602,731,909,261,010,207,742,951,294,038,640,675,791,
660,288,230,361,242,725,106,832,539,702,139,044,248,307,679,485,532,025,931,
048,892,725,174,252,652,717,799,432,893,716,677,273,768,661,491,117,220,689,
330,471,359,628,099,175,610,615,927,159,050,719,161,943,188,102,336,323,183,
296,984,353,440,508,841,023,030,573,801,638,770,923,853,716,090,635,634,243,
021,143,174,855,074,935,707,983,263,638,102,893,654,339,571,673,185,815,284,
723,724,986,579,177,626,769,800,703,858,301,775,442,768,849,732,645,188,121,
795,046,694,132,610,826,269,633,797,078,556,967,740,316,389,801,636,608,066,
096,984,851,943,341,940,222,098,831,798,533,550,645,515,790,949,708,127,257,
298,200,166,119,746,105,147,689,697,802,921,007,166,527,135,677,899,355,000,
037,427,358,279,167,785,758,980,067,946,238,251,536,604,956,270,037,561,405,
188,301,686,873,106,224,554,333,026,419,275,023,027,841,113,205,799,484,943,
819,279,289,769,431,517,042,782,878,028,628,208,833,009,386,219,623,173,567,
841,178,855,061,904,613,824,674,886,090,286,308,724,212,359,052,801,986,759,
557,933,563,451,012,923,743,040,457,516,680,155,014,681,826,562,456,508,144,
968,203,330,387,736,679,241,719,731,412,871,765,378,983,747,118,711,434,221,
638,335,841,664,709,483,649,098,238,755,740,598,977,837,635,856,283,874,903,
818,306,650,605,871,942,979,140,597,412,571,021,508,506,566,522,663,069,404,
279,547,572,460,545,713,864,300,274,443,202,686,654,430,253,475,994,060,507,
014,473,120,102,636,265,720,149,911,606,008,125,689,300,289,545,638,331,317,
996,070,878,353,408,862,899,028,136,445,635,777,428,309,933,269,148,298,219,
316,334,670,408,393,996,770,378,114,612,674,925,387,921,428,224,559,656,516,
528,443,029,523,580,117,695,648,616,178,664,486,249,743,812,300,625,220,617,
833,511,389,441,860,917,422,598,438,992,609,363,575,291,824,538,551,170,439,
294,185,991,074,736,843,585,730,844,706,110,490,434,429,258,950,211,199,112,
787,852,955,351,990,303,461,590,659,984,364,535,142,262,577,784,576,485,171,
736,260,364,003,886,547,569,339,740,650,616,809,799,109,968,678,697,497,839,
040,574,116,891,893,026,336,958,312,775,236,497,290,617,131,457,702,625,882,
532,644,058,824,770,055,307,355,593,093,385,544,400,990,178,765,456,444,631,
251,466,217,935,895,748,660,416,727,338,840,375,637,418,270,706,263,778,009,
034,677,191,707,523,112,745,486,380,959,321,199,024,877,078,331,463,146,854,
919,318,128,372,201,650,908,504,677,978,978,003,401,761,483,993,830,396,162,
910,379,790,485,790,431,429,454,362,200,227,574,185,746,885,692,191,604,218,
985,552,330,902,176,092,276,524,194,831,081,789,570,669,029,285,059,327,526,
405,530,175,712,999,826,914,352,543,796,586,321,302,645,562,648,356,275,179,
151,061,106,509,219,653,229,362,230,511,898,471,754,004,331,997,366,582,924,
518,691,529,334,249,543,842,851,162,757,624,507,341,769,390,997,756,823,729,
372,496,855,155,247,588,143,936,373,713,711,608,728,164,014,281,722,454,755,
591,009,296,880,643,099,652,501,193,595,405,733,518,033,520,650,874,144,119,
811,247,429,871,188,387,270,655,373,239,368,301,151,887,138,818,449,870,990,
367,180,966,919,640,627,519,977,793,802,794,574,243,360,540,083,499,579,012,
484,632,518,120,941,309,088,390,280,725,424,083,729,113,157,687,525,698,083,
256,232,440,959,784,790,043,041,754,064,415,092,888,338,263,641,019,611,525,
780,260,518,336,414,114,781,790,913,446,313,792,173,278,787,114,073,020,727,
493,924,943,502,529,415,081,962,784,335,399,735,047,978,493,356,459,965,734,
839,628,905,481,640,181,966,414,657,258,008,708,010,032,773,589,647,266,086,
626,343,118,846,399,752,316,059,190,130,329,424,849,550,233,065,880,669,689,
198,719,156,570,004,864,597,197,843,549,072,355,205,570,976,096,401,988,507,
700,371,658,509,894,036,539,443,402,985,137,694,428,472,682,881,834,837,385,
966,337,886,620,571,519,906,846,031,661,783,323,331,798,300,688,397,777,641,
679,512,824,068,369,091,218,703,952,750,956,629,977,870,638,417,932,518,446,
982,248,884,849,841,559,408,732,182,299,102,669,190,849,238,805,882,982,836,
017,632,887,770,095,468,686,049,268,993,932,608,111,486,163,981,194,686,090,
131,727,868,720,456,504,703,648,867,751,457,988,302,939,146,910,115,681,232,
282,498,487,753,222,409,508,389,403,498,646,033,043,367,655,721,121,401,430,
578,943,171,912,613,642,198,690,778,229,686,735,348,638,009,479,183,695,586,
954,687,061,783,288,052,669,944,820,006,963,534,133,923,728,959,269,234,718,
517,991,047,242,978,157,287,203,257,003,444,961,091,443,585,165,871,537,707,
204,830,056,954,405,874,793,433,941,898,973,298,417,613,243,364,210,725,191,
936,686,922,969,696,070,989,901,904,150,199,309,585,539,449,448,905,158,961,
066,278,646,430,161,047,399,315,578,945,105,729,498,948,559,147,888,208,316,
956,728,193,803,058,867,712,585,704,052,667,688,589,543,052,639,242,559,154,
036,601,698,015,037,310,472,826,342,469,086,832,790,225,950,772,334,879,317,
071,062,344,519,430,654,916,329,159,046,947,271,853,571,581,473,287,607,322,
770,344,944,888,677,518,999,836,981,554,771,291,237,546,633,844,827,246,348,
452,567,263,525,061,873,231,172,346,407,948,751,898,534,555,531,936,041,253,
898,632,477,698,957,710,434,653,523,240,302,108,005,918,663,180,304,679,993,
321,333,074,668,918,775,086,343,282,001,637,446,557,037,010,465,181,867,964,
035,939,086,719,917,119,858,083,035,124,855,841,613,718,341,551,998,664,647,
352,290,302,864,621,479,241,213,786,387,197,590,480,732,855,177,355,079,855,
604,492,876,076,046,785,924,848,709,974,834,569,770,603,481,739,482,654,758,
725,186,309,169,472,967,102,649,317,807,778,502,803,524,947,272,451,782,147,
038,241,461,635,120,999,939,582,699,148,891,273,474,048,950,514,773,867,888,
811,018,978,294,732,172,695,908,248,595,736,936,769,510,597,447,103,070,330,
726,886,320,114,911,728,377,619,869,852,658,203,259,311,467,040,302,144,368,
576,847,761,487,298,890,533,058,951,216,885,794,011,158,124,316,277,302,765,
408,356,314,029,478,709,125,061,647,314,211,007,450,549,999,648,396,599,638,
684,202,586,963,892,136,854,493,375,077,871,223,165,839,823,604,265,957,254,
754,127,685,780,628,100,025,236,947,768,686,299,158,229,744,888,670,436,115,
007,031,792,715,083,030,607,760,931,093,693,140,229,398,522,913,555,940,032,
008,702,029,724,524,384,276,238,101,110,145,989,857,007,685,964,547,615,225,
839,264,303,978,075,320,264,254,684,682,924,462,269,371,518,716,429,669,715,
726,826,780,125,859,087,921,632,101,802,780,237,119,822,767,514,945,665,950,
097,798,071,150,226,145,730,002,356,673,088,003,102,990,787,108,938,915,159,
521,701,675,750,572,930,249,152,124,863,927,743,924,429,187,759,888,106,557,
971,414,614,683,134,451,317,268,726,247,041,880,171,016,964,117,372,255,417,
927,409,988,449,927,641,826,266,123,788,498,028,772,196,633,950,191,073,767,
533,453,958,036,433,193,522,296,981,718,151,927,230,692,454,700,641,726,388,
572,764,394,257,136,396,423,020,483,441,420,973,208,596,455,624,573,113,372,
498,536,395,021,396,678,029,991,720,844,668,929,687,498,307,732,413,276,658,
035,347,029,707,765,394,775,285,300,630,527,169,247,081,891,612,578,796,354,
330,326,267,841,724,547,702,241,599,736,022,546,676,482,952,215,920,053,690,
225,449,564,652,272,534,505,275,082,458,317,305,125,329,333,704,896,145,239,
175,369,492,298,252,020,796,050,240,126,387,791,951,017,317,668,741,134,383,
953,606,097,579,162,492,856,659,492,774,463,819,601,258,110,962,953,547,195,
334,704,018,553,932,608,377,643,903,456,389,887,051,144,092,035,748,743,117,
989,939,790,133,687,357,876,225,104,719,721,685,730,818,179,467,794,825,101,
449,655,855,479,176,027,403,500,728,819,586,272,389,429,324,652,664,671,214,
648,539,755,416,882,791,683,626,769,570,691,235,043,493,991,833,231,146,691,
560,560,013,143,991,219,521,942,944,059,242,371,676,018,199,516,853,539,549,
613,504,123,068,339,872,702,167,018,352,869,886,732,032,588,253,378,489,706,
839,147,303,991,661,081,915,633,929,415,048,421,358,629,096,205,361,407,652,
823,033,524,843,774,746,372,559,813,512,229,095,179,202,207,576,714,647,444,
849,853,045,920,923,076,824,692,574,920,555,082,250,027,758,638,511,446,317,
415,318,411,592,205,707,311,204,295,031,582,475,209,460,076,658,616,950,262,
350,803,873,307,267,909,761,784,225,735,399,880,322,026,444,836,678,841,324,
125,498,945,142,649,962,290,152,048,812,317,965,570,088,079,674,230,822,521,
778,870,402,950,304,185,066,860,397,024,048,696,282,028,521,014,392,935,801,
236,860,684,656,686,186,744,158,028,734,372,105,409,361,262,446,874,125,355,
151,239,810,023,981,067,297,313,375,729,434,426,736,835,010,889,977,781,823,
140,067,117,758,757,413,020,466,801,795,197,788,825,103,047,185,735,865,894,
382,742,006,208,638,559,813,586,877,917,554,641,745,697,117,087,289,243,013,
747,459,187,162,040,832,416,518,597,255,909,853,494,490,563,062,952,278,732,
151,677,856,597,297,390,180,816,886,838,265,685,238,430,550,028,152,926,017,
616,635,746,834,375,259,355,783,757,725,703,634,209,829,369,928,351,946,084,
970,735,458,355,814,753,226,920,570,885,139,239,942,573,952,390,274,512,342,
596,801,680,091,214,855,142,951,627,444,576,852,350,341,046,746,399,020,345,
283,561,795,994,339,384,515,855,523,417,723,801,494,848,292,504,447,955,633,
712,726,349,662,860,390,950,488,305,216,175,364,089,560,428,057,231,128,736,
518,589,542,845,467,043,311,852,631,537,832,761,306,310,355,867,611,953,753,
210,595,722,906,134,049,557,230,175,863,067,961,351,406,215,169,454,128,241,
780,131,899,343,726,016,197,872,082,484,230,505,752,245,418,856,878,016,692,
621,655,538,650,362,640,814,987,498,836,807,063,827,682,316,502,924,849,184,
836,574,879,553,086,442,555,384,293,453,297,747,566,865,521,082,723,908,025,
064,490,001,642,258,713,698,789,731,883,739,108,535,570,982,070,725,722,978,
417,593,129,594,054,357,109,694,037,895,752,712,424,333,896,505,363,830,746,
767,678,969,293,607,483,818,952,995,568,572,874,331,272,185,380,850,659,921,
575,224,532,588,629,222,005,896,285,471,444,919,601,784,867,390,709,331,406,
247,101,959,337,720,907,844,423,945,505,551,318,297,490,635,411,142,579,291,
779,936,857,843,907,832,836,249,837,162,745,892,463,782,581,397,487,426,287,
543,551,114,647,182,008,477,199,227,626,996,667,289,909,307,177,198,920,914,
934,152,677,262,335,364,437,910,161,586,539,681,393,744,815,731,167,782,055,
894,080,478,596,768,100,909,751,482,455,366,204,446,395,845,937,010,732,015,
144,816,545,425,816,762,332,740,139,206,560,776,408,651,026,647,436,146,935,
332,650,585,871,757,620,661,764,650,918,819,986,996,283,803,062,820,772,115,
381,882,849,027,638,840,276,919,512,599,444,845,255,252,551,652,506,360,434,
900,366,484,949,807,252,363,131,847,439,363,638,909,281,115,582,739,796,441,
815,523,433,077,783,736,673,481,000,778,293,430,404,953,596,718,654,897,867,
821,435,200,967,938,127,711,832,413,270,132,806,823,550,420,809,015,068,975,
380,997,874,721,984,980,656,854,380,206,440,686,633,172,404,563,736,672,216,
823,176,421,732,921,910,993,613,802,790,299,455,703,875,809,041,789,259,759,
080,362,572,346,961,820,892,051,485,177,172,466,197,150,765,073,800,875,037,
685,585,684,708,977,454,678,483,012,050,365,076,086,704,550,910,259,638,937,
997,973,678,616,874,459,504,015,841,403,474,967,094,222,888,113,946,590,885,
387,258,243,126,606,260,717,143,151,090,644,705,543,956,795,656,533,447,507,
863,399,970,930,508,664,495,779,862,038,602,576,162,527,607,781,555,384,988,
973,415,163,627,194,455,869,245,598,487,957,520,449,241,516,745,945,768,108,
739,088,383,359,302,122,153,276,141,590,439,709,052,615,524,753,148,149,066,
282,868,267,321,402,303,779,933,601,593,696,819,376,477,385,686,826,888,778,
016,130,590,687,252,802,266,523,070,136,630,518,493,784,265,147,535,006,288,
960,805,731,547,604,397,395,417,656,161,138,761,017,860,662,090,249,103,192,
039,209,101,495,500,709,100,795,720,112,877,654,696,364,310,676,319,977,035,
963,903,601,533,366,448,120,829,616,770,405,127,010,039,275,248,846,504,482,
550,507,582,016,704,423,207,885,243,510,840,914,970,671,023,767,155,146,546,
191,766,575,315,796,492,412,473,733,143,456,740,647,314,641,002,668,857,670,
648,922,757,222,594,084,144,133,170,500,378,543,010,950,734,070,059,266,385,
127,209,011,376,377,632,062,857,836,936,572,585,257,515,392,446,881,080,094,
978,868,196,353,365,007,549,990,284,637,353,274,144,985,493,874,112,427,895,
272,942,448,091,293,525,653,721,033,962,317,425,204,828,467,396,996,461,844,
977,899,743,104,082,371,143,216,718,582,437,507,149,178,207,785,422,612,106,
777,543,676,130,163,990,673,573,861,037,847,187,474,720,915,356,292,313,882,
008,561,975,398,438,882,036,713,614,393,918,652,394,538,368,108,476,259,261,
881,475,345,383,182,821,671,396,678,586,580,106,115,950,326,663,827,275,407,
062,371,670,478,265,042,018,781,474,527,335,679,061,944,370,346,479,187,053,
161,059,630,324,139,368,657,923,490,262,142,667,754,594,537,028,921,156,876,
293,794,756,123,147,025,315,740,357,896,551,781,732,500,010,249,424,810,180,
733,889,483,088,534,830,222,167,125,105,860,014,459,656,866,828,473,813,579,
015,130,500,569,337,768,544,387,726,561,974,919,356,224,098,009,513,764,124,
078,445,990,954,475,503,251,306,381,049,487,785,960,136,867,964,032,668,383,
652,961,193,631,164,993,155,593,520,292,669,062,252,663,101,923,234,541,431,
752,421,353,692,555,781,886,444,532,787,811,112,530,979,360,517,875,474,455,
998,287,663,140,874,529,675,107,087,764,292,097,730,554,448,316,296,926,355,
133,961,911,827,649,094,839,540,517,937,784,479,274,396,637,753,276,978,506,
939,922,598,372,109,653,205,389,116,397,752,808,359,400,112,705,808,424,917,
340,394,202,161,617,181,970,484,796,650,923,959,788,638,914,534,806,598,065,
306,912,054,773,201,799,245,438,633,606,169,513,456,373,431,059,823,671,545,
851,617,073,927,943,221,296,264,188,674,736,186,758,638,206,717,265,181,380,
196,422,934,412,623,814,802,493,660,108,330,222,981,244,357,485,823,133,460,
487,063,334,108,973,186,036,290,942,696,046,956,593,013,086,863,492,975,298,
490,568,670,769,467,870,030,150,042,310,837,230,509,949,239,661,987,431,414,
696,175,764,659,775,739,300,543,937,305,741,683,947,311,638,048,480,925,203,
912,137,780,060,333,613,757,302,697,389,869,564,987,440,476,558,733,967,796,
872,703,105,118,503,568,326,289,378,976,393,105,722,264,985,590,609,142,086,
975,367,569,206,643,766,910,522,887,449,400,889,587,498,243,307,818,511,491,
671,970,400,188,354,094,965,346,056,411,389,506,635,355,811,151,195,892,127,
957,377,544,435,734,214,301,533,836,174,175,980,678,154,506,691,110,516,462,
550,108,304,181,220,665,620,284,968,622,565,809,241,673,646,856,268,658,903,
059,290,958,501,021,154,868,758,115,680,569,575,542,952,273,929,925,823,601,
078,637,307,547,554,717,130,334,936,642,368,826,462,093,779,350,301,310,932,
037,655,913,444,423,547,982,847,976,357,788,165,734,789,732,763,430,383,690,
654,558,704,610,213,973,044,157,995,931,306,000,164,603,948,915,516,645,534,
238,266,441,222,917,790,682,329,548,743,788,964,043,217,320,178,092,165,114,
058,457,226,720,688,115,883,626,878,414,831,324,938,411,040,179,235,099,983,
719,731,388,370,389,724,493,793,849,104,727,909,330,516,622,435,727,794,679,
615,559,054,926,960,380,377,593,211,895,266,080,066,198,536,173,924,235,613,
897,242,856,681,204,617,262,865,365,752,785,041,625,703,213,038,434,702,860,
904,683,405,122,896,356,681,257,827,299,847,423,939,249,193,166,883,386,692,
384,894,724,312,783,875,698,169,590,636,693,162,443,617,614,821,341,669,748,
630,490,088,441,192,934,979,344,048,851,041,634,354,475,452,678,859,438,916,
088,499,094,648,449,045,491,139,918,090,718,286,441,097,510,357,397,981,965,
402,949,032,369,919,071,248,023,385,730,487,982,120,986,363,858,851,656,536,
221,140,536,841,410,936,776,990,697,080,586,078,213,532,504,908,307,381,062,
627,195,240,315,633,392,522,338,565,823,745,966,445,553,233,094,455,591,016,
036,991,612,722,208,772,408,388,973,232,055,194,150,410,882,963,742,370,433,
710,948,254,245,748,218,957,904,283,817,729,904,507,016,447,010,637,074,354,
898,740,242,811,260,848,776,479,751,004,813,457,189,628,796,467,554,493,079,
178,156,777,153,443,368,899,734,152,039,201,936,897,571,598,139,536,494,076,
788,009,062,908,506,972,465,883,349,236,718,460,656,055,015,240,293,066,350,
608,265,767,105,918,157,456,416,176,346,797,453,341,823,737,248,733,526,552,
537,907,497,167,609,068,249,874,295,328,797,706,811,801,096,140,350,942,922,
927,178,537,160,483,615,221,460,938,126,191,746,554,499,565,187,457,971,347,
713,504,277,415,370,922,848,169,138,616,007,239,300,049,438,704,127,977,625,
632,353,764,406,418,266,569,310,686,043,182,246,955,201,359,161,811,773,419,
479,395,714,921,008,143,991,896,838,998,343,349,700,981,210,699,264,241,912,
007,458,428,560,113,174,011,630,487,896,236,659,154,928,650,331,432,660,981,
695,659,760,392,166,867,191,778,355,320,713,081,219,780,581,759,178,806,502,
290,620,915,743,382,747,936,378,103,104,324,338,274,146,204,602,687,059,597,
057,584,876,848,517,168,946,609,256,897,605,575,328,796,003,915,326,408,212,
316,822,507,963,541,200,284,629,849,645,710,494,998,247,417,818,288,375,873,
745,946,107,281,842,913,340,512,074,936,894,195,830,578,280,181,721,175,771,
066,069,213,798,266,378,383,349,489,407,436,871,572,616,163,504,441,992,325,
048,445,130,473,456,176,543,228,446,011,930,364,238,885,800,526,190,603,582,
193,419,198,431,408,528,487,610,726,619,363,944,701,632,718,672,715,853,954,
594,801,489,965,494,394,846,519,535,309,174,766,999,510,999,174,992,763,109,
033,753,227,716,531,920,706,850,351,989,110,633,188,813,792,221,810,637,211,
982,626,597,480,405,798,490,304,070,546,227,263,756,125,005,150,575,054,434,
263,211,924,429,202,693,373,923,599,650,338,886,529,819,243,420,651,900,672,
133,557,641,515,890,968,449,645,868,933,380,017,337,218,139,458,005,552,845,
815,406,577,489,582,515,101,470,404,863,955,086,010,141,120,471,772,036,342,
648,180,639,955,105,297,400,854,858,891,109,231,960,176,429,770,728,434,421,
783,961,726,659,054,519,928,381,010,321,965,037,329,041,709,743,589,588,536,
487,077,409,953,916,808,890,586,877,547,291,429,840,090,758,660,102,251,341,
820,832,421,982,190,927,685,071,210,254,357,629,363,270,438,451,917,716,544,
983,261,872,921,615,896,220,511,823,408,395,575,850,674,063,537,573,918,066,
844,306,648,556,668,396,146,421,960,799,740,160,504,375,818,814,092,229,396,
324,616,383,749,311,010,649,522,016,769,993,536,539,100,431,435,930,117,516,
912,855,128,513,788,057,134,506,324,084,683,061,697,257,145,258,847,435,268,
662,286,532,477,617,590,982,724,176,421,781,913,494,893,953,119,357,554,409,
261,911,504,456,532,960,578,299,677,065,138,702,725,015,541,238,753,779,804,
126,368,673,676,989,163,131,990,382,179,087,616,046,367,157,297,034,275,532,
917,672,107,360,832,280,099,260,842,824,927,999,635,689,337,009,309,831,376,
498,280,720,254,244,431,189,258,283,998,045,179,145,876,278,230,116,768,474,
827,838,231,265,332,394,796,643,954,889,918,886,917,462,992,175,288,497,612,
628,054,906,058,806,695,844,826,196,113,430,046,699,542,541,230,565,170,096,
612,993,868,034,555,932,646,120,266,987,859,858,567,054,338,065,645,085,313,
985,910,007,114,635,781,775,531,457,007,971,608,933,018,624,204,424,160,207,
022,705,807,565,799,507,186,948,339,291,652,937,833,505,955,460,787,998,244,
731,557,136,258,999,334,805,527,359,804,219,597,218,713,778,215,908,655,329,
980,412,968,548,100,516,073,214,409,920,702,270,179,771,193,807,812,286,536,
067,207,856,555,447,648,831,634,708,964,174,478,520,071,645,921,827,972,664,
329,427,290,136,856,174,491,607,341,695,896,476,595,104,991,310,577,357,250,
229,244,909,521,714,988,326,156,421,958,943,419,372,305,446,927,162,546,533,
778,144,863,658,774,695,741,293,965,118,481,248,975,363,441,488,646,921,236,
606,249,787,843,430,264,264,419,198,345,853,800,202,860,712,304,619,702,008,
469,622,181,789,120,736,070,233,522,376,521,138,808,584,747,432,645,087,199,
929,163,434,320,776,532,370,021,490,672,740,478,079,789,437,156,757,941,397,
647,540,410,368,169,785,796,934,193,990,836,320,933,665,337,271,328,268,360,
046,285,802,007,903,117,064,018,291,965,999,999,152,443,687,356,500,600,675,
804,457,106,850,363,217,782,946,559,844,388,287,184,431,605,301,881,327,684,
926,180,161,349,478,224,797,844,784,168,176,501,954,302,278,493,615,517,024,
472,014,146,491,581,121,392,582,959,362,300,410,955,665,361,143,269,934,377,
074,144,059,165,088,707,163,878,895,811,795,960,859,634,110,388,553,430,127,
302,255,904,253,736,038,905,595,892,753,605,170,755,415,444,075,104,920,784,
654,939,897,023,952,926,489,630,461,463,749,176,501,775,529,683,812,135,944,
534,277,186,496,055,146,492,248,285,946,568,632,792,783,235,769,223,772,834,
828,341,602,353,492,023,998,263,754,882,716,028,414,583,528,535,922,004,176,
255,776,621,164,721,882,801,823,759,060,072,778,414,592,790,762,456,473,756,
238,421,476,768,332,082,420,577,489,564,471,645,441,806,149,088,521,703,102,
269,648,672,333,390,955,552,879,465,845,711,912,521,220,727,681,102,509,450,
170,185,320,440,589,059,449,877,045,824,515,787,872,947,125,323,322,360,022,
870,522,545,103,219,615,805,170,714,883,366,240,087,377,016,518,188,869,301,
179,872,265,629,453,250,457,860,099,645,137,439,840,808,041,633,949,049,761,
974,587,528,757,550,372,944,430,048,271,976,089,716,199,044,007,361,712,399,
354,633,277,139,781,550,731,481,918,371,766,597,070,301,286,301,187,283,961,
509,552,205,552,782,360,411,689,898,216,912,607,112,708,939,703,297,732,896,
133,742,629,438,437,077,705,183,363,740,713,832,902,446,289,072,748,443,912,
904,703,657,925,308,925,691,382,437,879,019,018,815,294,406,841,185,312,104,
380,931,688,175,611,149,193,474,306,792,097,793,761,806,850,653,740,060,964,
058,797,707,812,720,568,648,496,548,013,677,079,261,075,473,249,388,404,146,
701,261,210,203,710,871,355,570,014,433,516,940,623,324,039,370,961,690,313,
663,315,442,844,773,576,121,521,285,615,197,617,278,951,815,488,476,228,349,
112,448,291,444,268,986,155,897,183,969,614,029,344,171,646,386,001,361,673,
250,647,611,343,464,237,980,845,442,310,147,388,468,436,374,624,281,712,139,
704,811,738,588,730,924,152,110,194,011,598,742,920,789,329,915,149,239,278,
104,856,909,441,875,540,352,449,082,524,829,553,655,979,745,505,803,320,128,
409,645,436,941,559,928,673,830,837,128,493,717,475,120,326,631,399,475,479,
286,971,662,893,273,605,142,362,184,707,660,931,599,254,680,633,387,562,637,
755,346,726,121,950,903,182,354,368,119,919,924,383,111,176,135,348,573,015,
706,717,633,320,995,300,672,061,826,371,112,699,699,265,549,941,808,490,934,
088,698,656,229,662,528,837,626,537,569,699,851,395,975,167,914,394,875,169,
269,819,657,194,498,398,451,828,828,923,367,930,898,596,333,134,515,756,847,
436,778,741,796,722,363,194,252,389,746,770,399,533,166,008,756,195,080,113,
447,457,238,427,767,580,317,572,898,288,131,159,897,303,625,051,495,183,393,
361,540,356,252,948,922,499,706,291,281,241,052,047,141,286,512,114,839,731,
663,172,049,428,224,537,820,907,491,410,369,347,443,657,404,691,034,598,582,
593,714,801,905,160,952,566,606,137,743,213,688,105,377,158,808,815,964,693,
835,081,676,971,312,210,636,696,739,189,631,132,423,575,250,864,583,202,563,
610,364,882,934,012,119,740,385,543,653,491,883,681,834,579,337,242,389,914,
646,410,788,891,685,265,106,248,558,678,997,831,200,812,075,863,460,900,022,
191,005,188,980,263,230,032,026,820,642,917,830,605,243,745,497,779,869,637,
858,936,348,929,986,672,770,322,015,080,026,331,576,327,254,982,285,648,020,
285,591,786,547,824,968,468,337,915,338,474,213,166,978,949,444,263,397,993,
666,646,928,970,706,051,946,299,510,861,018,953,562,748,203,831,508,402,085,
499,787,607,930,178,336,602,678,119,460,485,080,595,446,383,450,173,867,763,
276,393,083,882,205,891,436,160,613,506,799,742,785,147,411,702,026,117,006,
994,454,029,485,476,766,087,488,594,466,936,189,503,985,618,573,680,423,327,
730,895,275,869,295,075,918,052,935,573,414,369,117,673,515,339,066,037,236,
400,602,937,987,059,800,677,977,857,390,725,413,568,439,937,062,795,954,697,
542,247,110,335,300,705,202,965,357,956,902,308,412,265,930,032,505,072,384,
219,066,864,681,422,761,736,413,949,398,460,164,304,915,121,169,617,733,293,
233,483,388,439,000,654,761,238,407,463,951,646,869,743,365,400,396,193,956,
753,267,652,886,886,839,867,202,461,400,110,429,853,351,713,170,826,207,356,
535,300,181,482,944,772,998,796,078,311,228,882,795,363,331,268,757,895,857,
554,141,807,504,800,114,135,617,489,040,603,017,766,960,422,161,062,408,051,
401,356,233,602,771,917,457,446,863,621,621,809,274,260,805,371,794,701,078,
865,642,835,295,755,047,341,381,203,202,616,770,671,159,577,166,572,532,411,
180,469,236,890,762,310,935,809,814,418,610,913,020,611,573,624,152,013,890,
978,463,980,389,688,063,373,952,269,240,285,254,865,236,241,940,354,987,405,
646,345,376,051,530,100,750,664,079,959,470,615,308,148,133,309,744,885,926,
999,152,940,424,615,369,690,857,260,565,955,234,057,421,730,325,359,886,520,
771,911,416,708,664,497,519,873,884,831,288,613,258,842,870,625,486,385,229,
586,549,129,496,682,967,356,394,001,291,987,635,339,417,750,800,648,965,087,
915,989,801,008,320,703,940,509,516,569,119,477,595,666,787,614,365,699,106,
828,401,415,187,591,138,228,307,558,735,388,352,428,296,779,141,594,286,006,
538,042,401,872,724,314,354,543,425,628,172,051,985,187,235,041,629,811,421,
648,740,897,518,107,772,866,743,889,781,853,238,390,760,331,605,251,175,461,
799,212,860,325,506,609,985,193,061,311,338,099,389,447,345,718,932,139,699,
168,829,246,720,518,706,509,332,653,816,806,849,606,549,104,378,083,498,955,
130,170,312,225,688,243,043,880,236,002,573,447,221,609,095,375,937,748,893,
710,746,078,350,027,122,353,241,894,048,669,770,808,529,055,119,999,794,153,
788,314,892,614,491,130,715,954,090,227,010,785,750,653,336,338,000,343,261,
052,904,537,258,440,409,406,860,438,795,387,897,553,236,694,083,308,852,516,
105,685,922,356,985,880,654,271,044,577,247,287,533,866,600,886,460,539,190,
644,617,527,355,477,731,274,895,363,298,619,566,374,424,648,182,303,745,017,
735,434,109,579,254,689,910,813,070,042,980,975,733,308,314,286,442,258,706,
800,673,023,111,306,398,230,261,424,790,914,266,464,177,471,602,060,773,433,
084,960,321,575,384,885,757,147,946,278,566,436,937,231,769,906,027,652,024,
097,944,899,703,519,686,778,446,763,598,806,663,490,461,255,448,942,377,041,
096,083,927,045,796,979,878,121,903,624,654,711,986,705,831,988,883,249,267,
525,500,868,783,776,120,954,872,748,545,443,843,534,728,309,344,298,272,264,
860,244,048,081,627,130,668,355,484,578,508,889,816,767,498,615,584,919,813,
949,875,956,747,850,556,808,741,120,749,352,869,087,281,372,541,766,307,896,
377,899,761,792,885,987,396,468,047,907,660,038,143,731,922,282,415,315,249,
910,696,788,460,254,441,850,278,626,980,408,314,420,910,682,653,268,353,771,
860,725,143,090,674,228,888,449,742,167,534,879,277,707,515,970,812,447,772,
477,076,538,190,869,572,777,099,009,309,466,874,435,053,223,629,500,719,102,
772,789,347,081,484,098,415,544,361,825,892,071,899,177,635,389,576,460,892,
630,524,182,708,714,995,466,880,530,197,674,333,588,355,253,999,215,731,750,
978,723,625,357,685,771,169,929,149,637,803,300,104,516,299,899,607,767,950,
339,361,650,563,973,252,358,860,893,293,170,544,591,445,426,809,617,971,181,
808,206,639,885,521,777,490,779,317,025,610,788,084,875,318,421,625,713,671,
314,212,530,394,892,752,970,159,730,811,966,868,913,394,109,428,051,453,874,
150,646,963,050,128,167,347,335,852,996,243,030,940,340,438,892,011,369,996,
683,185,544,160,596,249,071,532,935,860,505,624,887,396,734,981,435,261,215,
183,219,867,583,827,918,916,438,053,845,149,866,669,514,616,246,058,444,819,
536,524,671,652,397,142,136,178,214,328,551,771,603,402,351,397,611,561,255,
716,403,005,545,116,549,247,357,167,783,735,889,602,071,388,865,080,812,994,
950,786,406,264,734,250,971,290,638,116,571,998,010,507,925,414,064,306,256,
362,963,295,421,774,711,681,944,727,529,240,026,307,891,215,577,753,468,443,
453,092,901,152,711,209,534,093,447,784,262,897,034,540,020,844,356,131,318,
307,547,715,401,970,213,785,754,443,253,939,988,248,079,041,482,209,834,293,
318,032,527,097,062,501,436,853,230,387,772,895,876,944,109,288,057,101,064,
611,572,053,973,961,620,435,339,747,798,385,976,483,976,698,293,983,646,916,
578,280,864,719,578,933,882,706,262,711,639,094,830,308,816,865,617,278,473,
353,147,331,484,425,902,597,303,919,309,545,183,939,929,288,478,679,871,466,
601,411,697,269,153,123,713,803,303,221,820,462,802,291,787,610,742,204,256,
656,103,948,362,481,608,290,600,268,386,004,648,810,156,723,974,749,667,152,
705,230,260,880,204,726,285,818,390,231,042,199,150,282,019,775,832,478,542,
596,922,836,016,774,269,450,085,199,923,630,418,622,176,362,618,070,650,514,
359,659,983,970,457,212,605,887,319,537,963,204,363,737,293,413,518,052,679,
675,037,602,362,844,559,029,699,891,444,596,331,442,208,758,803,837,399,399,
787,698,537,472,178,387,659,404,481,093,835,304,983,400,884,899,893,146,556,
823,118,255,702,731,677,763,178,210,475,340,138,159,159,170,812,718,021,724,
045,516,575,808,974,195,829,376,512,711,795,075,898,541,408,459,379,461,340,
047,895,894,729,124,720,347,445,382,618,334,539,798,929,164,253,710,233,020,
545,950,053,820,298,867,538,956,716,150,889,804,407,583,513,049,841,302,152,
418,793,161,442,002,300,515,652,789,119,727,181,002,836,479,705,895,733,250,
651,583,988,307,361,778,802,243,863,809,812,412,813,661,104,434,775,187,504,
923,695,734,916,621,250,329,132,071,583,373,949,657,686,127,727,516,229,257,
867,869,365,687,042,085,688,005,403,336,715,520,523,928,952,001,013,201,744,
281,574,384,857,766,857,018,537,533,585,265,313,502,719,062,226,247,790,230,
839,037,921,527,067,074,549,025,078,455,290,813,036,806,121,756,158,210,970,
161,035,938,453,134,093,169,989,077,076,555,156,846,474,598,444,532,459,098,
061,803,162,451,034,753,374,010,383,208,340,342,193,496,050,413,872,916,440,
469,653,581,910,668,053,928,478,766,885,701,824,942,684,148,060,472,948,700,
028,395,960,272,574,955,594,008,867,463,571,258,741,919,534,602,858,608,302,
000,406,416,752,233,474,703,672,208,400,948,512,593,039,794,857,380,905,807,
563,820,114,902,536,015,719,680,874,511,283,147,701,212,290,670,453,210,173,
244,761,275,375,044,785,948,195,808,039,246,447,952,886,076,090,867,698,028,
606,065,042,983,188,102,974,366,634,440,216,802,653,494,942,103,137,948,370,
470,262,967,351,272,668,458,396,121,150,714,474,846,954,733,383,732,385,018,
812,905,059,153,977,778,096,529,408,917,914,858,925,652,886,485,567,598,347,
415,652,016,861,987,695,078,562,424,411,395,981,020,040,089,938,114,335,213,
647,801,676,479,162,260,293,395,389,332,868,765,768,459,976,146,535,959,036,
973,143,721,984,562,916,864,483,134,095,894,091,636,638,006,268,314,939,781,
081,331,299,026,711,291,388,018,083,248,969,076,019,731,551,938,432,700,649,
434,305,572,295,231,211,367,259,294,275,715,315,054,037,646,849,164,748,886,
693,685,904,770,004,476,734,184,052,425,870,149,816,056,569,987,562,080,397,
586,005,064,797,734,161,270,625,010,737,069,057,188,660,343,920,803,640,392,
521,078,058,333,854,427,425,172,859,778,034,202,192,116,553,999,470,795,060,
933,489,916,877,199,917,669,731,161,499,430,598,429,762,961,673,256,730,733,
473,800,758,051,111,640,555,175,329,768,697,857,785,708,194,287,463,192,053,
527,629,724,407,551,387,623,337,742,126,262,680,348,091,174,754,283,380,370,
524,426,982,279,659,870,101,805,202,890,037,401,775,178,172,860,217,265,437,
286,464,683,250,242,190,351,188,702,054,087,492,462,146,212,567,429,725,860,
364,780,945,048,906,752,830,986,608,398,438,640,898,034,111,382,895,901,767,
193,981,281,625,373,235,558,327,773,777,588,191,212,497,674,848,526,266,982,
517,130,493,015,311,977,173,278,786,132,070,357,882,064,847,306,027,274,683,
709,342,340,833,900,735,704,269,544,606,508,543,000,793,564,060,912,826,530,
013,315,950,654,305,846,545,888,106,874,102,631,022,664,328,003,338,290,511,
382,010,949,263,137,460,451,772,841,557,360,432,788,475,143,307,047,623,571,
117,829,648,845,289,906,683,028,423,737,325,639,140,743,845,044,341,146,421,
122,020,797,405,153,414,125,552,013,897,738,659,950,912,632,996,959,837,475,
608,732,812,969,844,574,648,035,261,725,536,935,399,436,300,518,459,506,837,
496,988,565,306,322,037,390,591,391,555,809,893,642,900,618,672,820,069,139,
707,111,683,266,613,674,309,935,250,062,050,556,904,089,983,332,113,011,162,
690,939,482,669,672,668,497,143,053,196,396,337,250,307,953,295,739,880,824,
679,449,740,351,410,979,326,254,842,977,653,988,908,106,029,970,376,875,972,
574,734,808,711,702,659,019,521,554,147,329,946,335,233,662,455,208,713,165,
108,722,334,857,550,405,436,720,439,110,024,648,337,453,881,933,149,031,048,
826,475,223,797,458,292,701,850,306,989,998,280,275,822,857,820,787,810,864,
266,520,202,014,898,147,514,565,802,668,671,164,121,889,638,339,579,571,222,
676,796,367,688,479,670,953,635,474,905,443,321,163,259,208,359,802,360,523,
509,086,695,077,328,998,791,646,857,201,799,192,777,328,749,657,743,279,590,
331,804,674,334,169,876,596,293,712,317,418,438,400,232,447,281,695,468,359,
278,883,582,081,317,839,984,224,658,009,375,527,014,081,681,482,200,822,372,
850,843,506,158,462,282,498,472,039,939,683,024,382,708,780,909,301,589,885,
384,145,366,298,914,772,577,701,547,550,666,908,263,562,171,339,208,885,047,
033,734,463,003,094,889,964,036,457,907,116,416,261,044,325,050,393,854,604,
173,768,463,357,384,011,158,536,138,100,635,160,217,168,759,671,251,451,061,
522,525,847,295,496,953,703,989,636,545,351,336,370,392,733,761,070,913,080,
181,028,605,201,704,096,131,172,907,729,558,271,848,668,010,867,214,999,862,
282,900,362,641,276,241,461,195,844,901,623,760,382,329,787,427,592,012,218,
136,758,491,656,327,642,884,725,313,980,927,640,112,666,795,930,795,862,741,
494,592,938,003,005,777,703,699,067,538,283,428,490,366,727,727,000,472,158,
842,546,787,771,458,228,438,224,288,433,477,989,680,729,249,859,383,837,124,
522,159,092,937,379,215,985,434,503,448,849,407,714,780,740,977,657,512,559,
877,832,942,058,193,539,581,867,826,854,672,630,995,370,583,501,588,798,356,
014,717,504,718,917,538,783,285,210,533,882,441,881,537,246,982,048,645,338,
014,081,897,544,000,442,566,437,414,755,379,780,789,658,096,829,854,695,501,
105,819,519,158,238,609,908,149,073,608,383,434,001,794,982,160,157,302,207,
983,671,364,259,299,518,891,972,563,690,914,738,052,714,048,273,482,958,906,
971,414,456,618,671,224,678,434,731,991,480,492,202,780,376,211,396,593,159,
743,884,815,305,258,107,507,657,552,221,488,272,973,018,191,558,501,294,740,
666,732,312,749,308,413,841,323,996,226,639,675,264,768,476,394,229,183,525,
403,055,328,429,834,619,182,677,310,839,090,585,704,356,722,842,776,836,911,
713,252,889,363,357,081,663,750,358,645,549,207,536,778,336,247,757,377,305,
662,276,342,098,077,355,125,365,777,303,031,490,535,151,548,321,511,202,511,
153,966,119,981,929,211,696,851,158,986,425,731,753,877,825,410,008,708,537,
116,644,396,939,129,854,796,386,250,037,034,694,456,604,845,189,175,187,065,
325,734,612,297,969,004,780,950,439,656,773,825,355,291,166,868,618,343,541,
209,720,397,708,867,722,957,457,833,548,606,616,909,111,397,464,316,342,790,
281,497,381,417,330,826,518,690,058,169,241,244,496,177,914,099,991,519,023,
301,241,155,409,205,788,340,983,773,831,503,812,260,824,833,686,634,521,777,
246,902,411,428,087,556,381,525,123,816,956,472,644,672,670,969,130,800,020,
280,061,739,633,769,850,491,269,361,140,195,985,029,977,153,740,884,571,826,
622,858,299,441,036,832,094,152,954,432,873,390,118,796,005,873,222,804,746,
807,218,203,070,476,058,205,946,491,379,049,274,848,283,994,616,844,630,120,
435,813,980,748,967,184,508,574,256,617,886,702,212,144,866,622,820,017,300,
795,142,789,034,106,822,612,811,996,841,275,656,106,636,140,089,390,905,598,
007,596,259,302,369,903,183,767,239,232,751,724,860,002,667,597,613,919,519,
972,161,512,117,565,297,750,816,021,908,755,272,099,064,972,873,760,606,029,
000,335,781,284,551,082,337,127,811,681,333,443,648,772,190,321,790,460,144,
653,514,933,517,510,331,433,837,366,858,802,398,260,194,827,494,278,651,752,
923,482,885,762,107,489,117,691,291,677,723,505,328,529,440,981,532,924,130,
161,400,252,336,644,202,048,540,491,232,337,643,199,439,886,048,637,019,050,
395,686,650,932,802,360,529,753,572,679,273,828,422,998,435,855,076,207,110,
812,451,037,469,911,923,123,468,973,229,150,527,941,126,354,015,044,136,349,
085,715,763,974,515,727,358,481,655,824,327,769,897,276,067,104,023,003,249,
078,387,034,625,652,502,040,071,779,203,890,498,495,217,829,011,119,690,526,
210,851,176,080,558,908,423,087,466,221,886,085,469,294,871,171,121,299,475,
024,974,350,330,063,802,645,474,113,439,321,611,044,965,717,690,311,875,936,
732,721,626,846,132,841,262,516,348,935,435,502,588,044,355,214,167,794,570,
062,273,493,178,749,778,423,393,688,064,929,665,905,186,772,926,895,294,407,
605,453,337,083,428,859,571,646,901,987,168,637,975,474,254,681,265,983,050,
867,016,370,491,528,123,574,218,847,742,672,579,400,912,084,590,305,029,931,
514,146,477,678,820,357,877,676,568,881,310,329,717,363,637,494,779,750,674,
029,011,740,484,292,803,736,889,866,817,976,371,719,172,446,418,145,389,194,
087,928,991,464,006,047,789,542,549,506,848,303,647,568,481,255,908,490,952,
870,303,367,131,447,283,790,671,160,201,494,309,753,589,171,846,317,850,919,
039,923,747,434,203,392,498,142,038,139,080,962,384,794,349,890,745,694,155,
131,140,679,704,996,800,241,165,352,341,535,080,590,647,687,997,937,990,623,
629,091,270,947,478,546,322,346,227,786,246,396,850,710,563,440,441,654,760,
360,120,682,373,003,627,848,631,035,244,417,709,591,015,355,946,037,178,150,
245,248,253,675,847,862,905,477,071,957,419,122,935,634,580,833,184,288,751,
103,071,606,910,197,535,839,180,880,386,966,389,952,524,108,958,179,713,103,
373,546,535,285,241,571,950,826,623,783,876,839,199,655,799,280,917,331,209,
589,824,500,431,978,069,095,784,752,028,605,956,584,855,297,585,970,406,796,
675,853,631,218,405,982,239,454,920,509,020,006,747,175,643,481,277,493,091,
129,730,815,180,074,759,857,083,677,802,837,537,369,499,354,517,047,502,759,
433,588,594,147,114,613,036,473,767,977,923,931,296,183,556,671,185,351,024,
667,133,296,017,793,667,744,018,257,573,294,077,540,467,710,835,053,306,117,
325,818,682,835,063,075,089,427,149,298,603,694,338,039,573,683,176,770,248,
668,477,194,266,574,539,331,369,227,273,765,196,595,292,100,514,163,973,275,
409,072,290,346,309,148,593,259,921,382,113,048,877,220,199,528,995,380,272,
706,832,584,027,957,961,322,589,015,159,014,675,066,153,986,089,382,870,918,
796,792,851,085,958,064,732,411,489,429,406,378,599,539,643,710,801,171,116,
385,899,390,065,448,850,171,020,444,737,349,014,776,254,138,623,691,880,912,
450,405,403,816,986,521,341,167,810,543,191,707,478,169,706,138,252,114,552,
941,049,942,426,543,841,408,117,524,186,299,223,473,152,216,302,707,966,341,
656,290,248,354,813,812,369,505,498,071,017,951,061,803,259,413,881,392,141,
441,680,805,504,308,986,569,188,605,261,736,212,381,230,504,369,288,738,423,
887,489,853,308,257,015,555,992,081,472,856,591,743,922,087,225,658,057,908,
554,593,069,399,388,319,788,444,292,946,828,837,421,962,386,527,254,180,508,
414,308,473,534,803,237,654,018,796,061,718,979,079,174,489,674,885,041,429,
740,935,095,927,756,974,684,599,862,168,498,908,089,617,230,056,059,399,240,
002,845,202,608,895,599,345,683,039,712,190,331,736,000,431,596,834,921,718,
553,383,092,820,777,846,823,720,189,044,057,185,216,706,709,138,644,405,139,
026,633,230,241,509,296,748,468,074,241,246,950,073,085,366,224,801,244,347,
306,323,166,519,301,736,271,887,726,155,182,965,543,595,695,779,829,826,291,
593,736,800,145,077,028,563,729,999,384,810,588,169,090,375,068,447,875,298,
183,189,932,873,193,211,872,121,826,034,433,257,759,031,039,988,348,097,028,
683,432,040,469,143,139,837,186,881,571,305,156,776,533,433,275,694,386,867,
821,486,567,263,940,951,529,370,840,950,120,492,350,035,357,595,387,728,529,
923,367,864,581,600,647,005,273,674,138,581,350,411,668,019,206,081,241,640,
442,213,825,309,956,434,245,054,398,872,758,878,052,545,350,712,960,423,948,
645,971,551,392,897,352,861,032,236,714,897,602,780,146,461,850,349,507,445,
930,961,282,070,089,605,610,875,415,017,787,364,510,666,383,193,273,977,410,
123,268,873,661,406,654,883,099,204,757,054,122,212,054,206,652,090,913,353,
539,318,220,337,971,318,490,997,992,459,151,488,711,186,934,713,530,099,397,
812,276,458,996,392,961,206,759,192,486,254,602,975,816,172,945,657,419,974,
761,564,789,421,311,318,561,543,042,678,797,147,889,579,837,745,223,856,215,
211,175,792,102,636,592,547,136,365,380,552,195,914,130,045,848,095,687,346,
220,520,907,632,904,338,325,979,648,050,179,216,646,594,182,795,160,310,285,
881,358,698,284,943,010,237,436,850,175,770,918,194,677,119,208,622,790,541,
124,275,845,570,026,203,012,082,670,726,354,948,814,504,255,347,965,440,749,
963,829,068,792,176,656,921,215,479,150,214,473,706,706,355,908,656,953,281,
498,221,432,152,128,877,224,592,592,461,598,901,756,339,776,330,563,000,911,
300,556,596,132,953,750,746,318,337,019,521,324,751,922,150,726,131,625,121,
492,116,864,859,664,782,076,734,377,826,757,140,891,967,969,107,170,242,197,
087,912,051,893,438,830,466,185,683,705,854,382,788,250,533,283,749,460,975,
756,534,739,196,923,613,888,998,636,635,165,560,426,141,763,161,088,767,366,
498,054,044,332,204,539,810,724,161,293,941,157,463,406,251,794,612,198,363,
591,487,704,386,828,145,484,678,709,703,353,036,389,779,621,358,494,420,789,
121,972,844,969,010,371,932,654,630,317,081,876,077,557,624,317,109,439,729,
524,838,872,007,141,309,493,141,011,307,263,587,771,799,107,724,707,542,996,
793,239,966,750,682,478,221,087,481,573,711,306,007,809,289,528,273,497,819,
693,153,056,599,301,000,548,246,405,260,043,676,501,029,470,114,998,757,924,
154,632,011,681,834,647,749,463,725,872,519,663,244,521,425,587,793,660,471,
999,690,357,799,352,662,970,186,892,196,350,548,905,276,114,977,629,767,431,
374,010,627,280,322,146,575,420,968,143,893,573,885,052,418,194,732,055,755,
165,429,245,309,774,940,427,972,457,707,758,883,442,026,513,810,539,479,714,
840,574,002,788,590,851,454,289,095,886,689,705,122,006,173,780,130,816,199,
250,531,571,694,858,834,505,497,997,849,035,803,084,324,958,733,259,627,474,
847,625,558,912,739,783,449,333,744,893,956,969,567,831,093,667,927,884,333,
852,504,204,140,689,904,280,539,249,547,862,492,874,749,754,810,419,652,510,
363,491,699,009,454,643,759,792,244,442,111,029,323,986,655,465,074,378,342,
055,036,421,161,266,059,554,995,594,779,100,047,055,601,389,376,720,170,650,
571,073,459,529,537,554,794,156,942,175,531,783,645,425,737,656,588,393,991,
315,945,588,799,562,722,954,963,399,319,989,655,376,973,222,126,161,455,960,
786,515,111,189,843,978,624,472,078,544,111,931,505,741,975,055,531,843,683,
105,560,227,663,972,102,844,558,374,328,068,806,520,473,008,053,156,183,620,
381,991,021,925,562,697,418,691,066,792,810,966,523,086,797,271,198,720,255,
299,545,418,297,128,832,599,403,316,510,857,979,272,391,383,229,790,957,795,
196,088,426,371,288,330,899,037,274,364,646,523,864,094,291,760,575,733,761,
978,278,125,618,811,271,616,517,294,768,876,487,550,393,272,565,537,269,189,
396,645,042,477,840,745,336,788,053,087,564,299,826,118,715,017,194,563,786,
219,707,313,158,570,765,855,415,739,699,487,101,558,962,157,927,352,157,571,
018,625,244,196,449,143,327,089,758,454,484,185,536,958,615,801,531,495,901,
003,592,782,873,799,495,959,201,250,350,159,579,388,081,510,121,849,049,544,
132,851,830,514,236,169,689,165,770,910,000,121,553,605,901,337,749,603,208,
244,746,080,731,725,604,191,127,781,025,751,424,100,772,087,600,013,091,565,
610,402,287,726,044,370,548,756,989,650,053,975,311,687,225,563,015,125,729,
887,672,509,763,714,476,408,790,147,212,430,621,726,533,305,032,642,300,058,
547,387,848,064,159,657,618,412,856,538,730,964,363,465,791,090,904,865,909,
777,213,196,662,278,361,209,310,134,286,229,906,159,585,969,218,124,109,682,
036,576,546,481,176,913,160,126,568,004,788,418,529,542,437,750,805,960,164,
056,753,803,886,806,545,216,295,684,315,758,222,555,296,029,342,876,162,157,
867,256,147,683,721,752,956,834,453,905,155,039,412,608,575,988,812,852,085,
188,083,593,770,787,582,433,832,760,648,149,183,279,321,290,329,440,152,685,
113,281,180,444,220,966,441,545,506,513,831,663,085,476,922,676,265,939,830,
583,803,229,174,318,837,099,812,980,396,175,723,492,352,494,535,033,888,851,
750,137,545,039,792,716,425,415,342,694,363,863,255,855,156,461,969,158,433,
765,162,767,049,795,395,409,407,492,042,906,297,908,747,045,237,144,220,683,
596,701,584,571,010,491,205,521,643,914,606,857,939,547,398,457,647,340,837,
478,803,902,588,813,815,831,212,885,963,855,685,263,489,518,004,906,897,365,
609,365,007,510,257,505,718,460,664,750,282,793,818,567,707,735,247,342,655,
199,162,762,398,891,033,563,037,033,598,056,512,055,825,869,880,433,278,110,
877,180,998,513,758,842,705,996,451,984,633,254,065,198,760,638,992,917,899,
119,822,098,844,697,739,526,507,463,218,903,884,391,142,853,180,370,484,928,
950,332,370,718,821,990,861,915,627,853,969,173,685,298,451,730,528,729,170,
135,304,334,996,164,169,738,347,228,306,493,890,273,469,226,938,279,627,726,
833,188,655,025,842,278,702,939,654,454,370,201,688,274,252,863,028,499,972,
944,796,434,417,755,880,078,057,920,191,828,197,311,275,159,311,388,700,368,
763,526,039,804,068,401,708,156,309,927,697,015,223,798,275,007,354,026,141,
985,631,414,109,627,423,498,527,085,798,073,393,632,449,780,941,032,266,854,
103,871,365,009,560,015,182,770,509,765,752,896,107,060,612,439,585,708,889,
642,720,233,246,841,669,223,360,690,393,213,498,211,159,461,152,742,249,971,
980,188,852,082,293,972,861,708,388,790,062,509,220,578,899,550,590,075,023,
690,589,745,802,626,116,399,406,305,577,004,819,652,870,178,588,118,961,084,
143,623,999,799,576,409,873,136,369,520,487,851,533,496,546,718,790,388,008,
104,313,080,842,265,109,331,389,356,290,709,966,118,853,869,476,510,950,614,
098,585,536,662,057,607,793,407,404,616,711,997,431,151,033,979,572,668,233,
923,660,723,328,714,472,903,064,448,747,205,268,623,030,966,987,326,630,115,
416,883,501,686,239,107,433,713,328,593,564,753,363,132,909,900,252,721,566,
235,465,043,297,882,673,172,472,120,416,920,286,439,407,053,409,631,016,779,
428,373,889,633,109,449,652,307,183,074,411,912,257,352,712,660,752,968,907,
323,670,175,920,103,040,697,057,874,020,970,450,917,221,747,311,683,729,100,
908,914,138,328,493,188,818,208,709,610,434,017,850,659,675,579,952,400,432,
392,284,694,552,119,105,790,759,474,034,397,478,657,624,275,520,955,962,332,
583,364,246,346,206,489,578,382,527,361,331,937,690,364,913,039,861,864,275,
439,374,412,252,716,183,199,441,877,551,895,756,411,866,998,451,506,283,145,
694,038,378,526,372,637,174,639,356,162,319,169,309,694,570,966,511,668,608,
914,897,749,003,259,702,311,770,515,153,631,533,922,248,280,045,657,627,753,
234,219,276,407,966,297,972,088,934,726,179,517,941,724,461,790,339,367,570,
475,714,627,592,609,944,898,972,192,399,074,294,619,554,713,894,900,635,988,
744,897,402,643,517,844,230,967,035,738,176,785,061,723,733,823,003,688,052,
096,325,987,148,980,146,021,494,070,019,293,998,782,313,352,793,942,918,494,
588,982,559,730,796,863,209,044,176,957,011,060,492,252,520,281,759,060,416,
063,543,487,700,856,353,577,431,194,346,165,261,458,355,273,661,727,427,178,
294,364,550,739,619,825,690,620,874,423,144,293,961,401,923,840,682,567,201,
941,584,210,082,567,110,693,889,137,240,244,270,458,221,197,059,504,043,781,
448,857,059,717,943,121,094,596,215,883,277,452,855,338,671,077,186,325,287,
607,376,830,806,534,345,874,968,087,398,264,173,355,544,574,601,124,727,200,
851,002,562,001,084,954,252,357,968,456,295,685,154,499,840,159,625,870,767,
350,874,806,595,153,673,189,744,132,234,359,984,855,639,057,067,397,704,536,
253,815,262,341,033,519,510,491,393,670,769,623,122,329,820,233,108,638,822,
139,564,013,121,868,667,392,883,646,123,105,605,330,522,736,041,884,257,530,
964,235,150,381,087,258,410,082,768,428,251,079,577,513,035,451,743,805,856,
154,477,616,310,881,856,656,694,039,136,902,311,880,443,559,876,267,636,379,
118,562,041,697,228,352,784,330,826,663,213,710,465,611,694,956,926,341,305,
626,652,730,144,547,313,385,062,519,643,301,579,369,133,340,542,718,989,382,
485,989,557,047,108,004,999,332,583,251,167,674,929,208,992,461,193,583,303,
433,719,735,939,234,193,947,183,490,238,964,539,779,807,283,736,890,059,279,
010,865,465,041,489,587,785,914,444,286,689,931,539,786,478,377,331,198,616,
514,504,343,988,231,559,486,948,188,649,708,391,066,732,296,969,230,933,660,
360,771,878,154,994,437,317,610,955,690,699,808,697,724,952,357,516,886,544,
738,587,037,146,521,502,318,092,058,287,073,715,230,338,028,747,987,755,865,
289,449,017,649,700,736,684,736,779,908,201,240,125,333,849,475,842,100,094,
503,592,554,657,149,212,224,831,260,209,433,872,963,408,462,793,453,661,927,
485,646,485,512,541,848,359,540,517,047,616,460,390,538,593,911,427,916,281,
653,824,941,335,090,619,901,561,650,587,295,778,608,406,157,979,497,550,599,
252,676,879,643,505,948,705,020,682,291,480,266,175,148,558,511,256,322,892,
938,964,475,920,620,279,298,712,441,071,912,464,655,890,219,864,849,354,164,
179,507,891,411,786,258,458,751,012,357,993,035,886,595,409,010,701,422,009,
545,798,369,453,059,571,479,497,158,902,240,570,017,721,416,368,268,653,665,
491,211,657,047,345,988,974,743,160,580,549,412,687,633,974,082,833,589,561,
094,627,995,882,495,781,298,549,185,026,605,802,193,707,518,309,212,895,917,
991,863,128,743,613,179,607,610,139,910,606,901,522,638,315,734,668,594,092,
235,667,966,992,246,262,691,209,991,785,631,491,601,780,610,906,810,635,917,
110,443,424,473,931,456,203,394,923,395,290,451,814,900,593,576,718,361,933,
131,255,274,308,993,043,482,628,348,491,873,167,293,138,759,111,004,522,144,
558,313,679,552,055,171,183,844,825,683,196,002,803,137,346,198,609,401,061,
617,628,282,280,057,870,009,969,894,234,291,732,244,457,632,906,659,105,364,
356,777,186,905,729,693,370,622,482,790,720,538,111,062,102,043,404,990,116,
632,069,889,024,538,445,057,945,831,135,581,750,798,644,951,405,502,473,326,
720,830,194,553,891,166,295,840,489,799,699,718,956,321,027,042,949,366,118,
203,494,048,875,742,037,107,686,617,185,458,299,467,492,858,309,686,069,677,
905,673,848,858,492,742,487,996,335,019,572,636,375,169,356,304,928,367,432,
296,713,727,547,767,000,960,811,761,903,605,229,454,088,044,299,217,768,048,
049,253,222,634,841,398,610,367,113,423,585,488,993,311,274,402,306,571,853,
660,098,221,860,681,024,741,772,029,701,028,546,339,931,830,781,458,230,806,
592,547,601,367,093,710,611,768,754,143,842,232,964,883,846,325,844,685,722,
126,349,715,801,819,161,023,612,912,444,291,275,755,656,898,503,314,970,055,
338,711,214,204,991,373,290,465,490,617,424,441,146,897,998,546,350,351,991,
689,085,684,601,005,753,348,305,954,374,236,264,190,996,116,376,244,902,724,
412,216,235,563,015,260,913,654,728,984,341,243,006,598,101,911,533,033,340,
143,962,442,422,227,908,032,964,805,563,987,743,419,656,720,326,690,994,045,
035,963,618,445,691,735,153,657,667,608,612,621,950,224,404,143,996,904,910,
001,233,982,648,795,598,581,834,334,726,495,705,194,538,549,134,617,651,102,
189,197,511,042,513,061,402,221,815,871,021,180,703,051,569,709,088,330,052,
043,056,402,018,480,099,274,792,928,016,874,248,358,103,221,204,682,667,194,
469,409,279,091,252,093,717,125,407,233,204,988,312,677,428,797,380,094,425,
408,528,864,480,286,859,748,103,794,479,647,248,936,280,838,969,150,630,733,
220,998,582,411,858,240,194,403,718,704,305,521,526,048,094,986,148,057,008,
883,262,668,556,515,219,285,515,985,669,017,194,490,544,466,599,514,710,950,
512,140,959,176,308,277,570,487,000,787,347,356,243,543,893,898,917,069,792,
080,483,671,553,760,576,939,571,155,038,534,596,828,999,250,328,306,874,126,
288,418,935,982,987,384,425,638,834,348,366,822,748,593,079,907,597,985,500,
166,596,279,433,999,743,246,822,491,902,866,159,337,624,715,804,581,682,123,
057,756,368,288,602,962,958,214,697,860,862,033,307,870,539,020,921,034,652,
162,683,537,285,858,993,968,965,398,592,239,996,468,599,647,158,475,457,160,
442,420,280,507,099,054,810,065,885,536,094,822,319,855,929,094,974,866,588,
856,807,657,811,327,050,377,746,262,370,683,216,621,466,562,845,271,314,912,
265,317,805,037,673,102,017,106,679,809,430,934,219,754,786,618,630,373,314,
249,686,776,154,808,224,176,323,108,770,242,906,805,781,870,118,607,079,019,
019,743,619,323,986,598,994,895,700,506,478,474,820,536,457,717,407,929,867,
895,617,426,046,116,047,172,110,263,273,505,709,483,313,949,369,157,045,582,
648,534,510,960,808,816,150,720,465,503,998,910,338,536,758,304,383,510,532,
624,756,607,667,245,816,774,587,879,529,035,448,655,446,602,000,011,961,464,
928,865,580,015,811,030,788,991,188,821,935,499,225,475,647,692,991,881,999,
008,501,922,250,476,921,204,544,206,400,612,432,251,951,233,004,656,153,413,
213,676,703,564,668,505,624,935,827,378,843,061,824,735,723,678,612,185,006,
375,246,519,317,491,847,393,509,889,220,902,825,639,218,516,506,466,860,854,
929,422,189,397,971,395,074,892,515,686,695,544,272,877,436,539,392,946,710,
723,984,924,469,009,194,756,666,004,469,870,041,684,415,918,444,811,763,503,
387,632,227,037,271,150,651,070,091,951,913,564,348,618,523,938,963,741,098,
601,172,297,307,505,663,038,000,785,365,950,477,174,121,947,703,466,297,355,
527,978,524,793,684,920,547,061,741,564,350,032,274,520,824,025,335,254,449,
537,708,352,714,735,638,913,260,200,693,850,306,177,635,521,056,248,318,372,
761,342,223,733,201,757,459,316,672,058,104,393,678,222,027,675,539,306,062,
352,865,924,112,253,620,098,958,732,826,216,851,264,639,000,907,552,825,218,
598,000,434,354,349,593,561,625,767,896,877,882,546,937,558,426,897,853,247,
169,160,047,793,317,367,457,812,157,318,825,940,400,555,917,662,854,299,896,
175,105,184,565,326,190,091,539,489,684,062,154,987,291,327,869,170,222,335,
391,395,333,254,446,025,862,465,876,544,547,350,343,242,790,185,283,716,202,
618,884,611,881,498,470,391,724,863,894,143,308,956,119,160,627,828,351,142,
839,343,966,642,883,761,987,464,101,948,957,502,801,800,810,814,873,043,396,
101,426,761,948,304,249,463,257,269,923,059,328,643,463,549,828,835,000,910,
215,041,433,271,819,525,200,077,058,370,020,618,613,345,275,229,393,404,141,
201,676,403,236,225,399,158,571,197,353,638,660,711,724,222,287,281,885,579,
165,821,482,555,070,833,046,547,037,236,742,244,354,841,974,367,679,558,589,
712,728,099,858,850,128,512,870,882,203,592,346,152,505,507,031,841,819,725,
828,360,487,891,685,839,524,650,800,937,311,320,876,908,969,132,694,070,809,
550,202,415,289,463,394,511,665,362,325,782,956,687,842,784,684,018,633,464,
105,542,589,578,713,833,119,931,985,375,455,712,273,749,938,854,529,868,733,
421,109,989,381,194,267,251,633,362,752,312,738,876,025,021,728,436,704,117,
395,423,657,212,256,734,437,327,441,645,015,310,864,226,525,006,952,962,465,
100,368,225,883,686,073,298,415,783,821,716,664,841,058,442,598,975,714,731,
831,775,434,865,509,768,205,242,990,835,818,535,089,002,762,783,656,888,277,
265,786,542,877,675,410,051,877,930,831,459,676,768,539,284,884,404,142,640,
258,722,971,348,367,719,773,273,782,595,918,830,447,208,552,765,839,114,554,
234,839,205,257,720,703,856,178,069,192,586,346,295,040,359,818,881,724,857,
597,239,691,436,012,801,120,156,725,524,514,367,186,429,610,589,182,295,836,
856,426,285,782,434,270,802,261,921,692,849,712,938,547,296,639,628,002,773,
693,145,115,612,072,511,007,267,300,960,681,062,577,784,108,640,029,981,647,
685,537,120,508,861,415,613,379,794,565,030,464,746,323,100,132,570,408,506,
808,792,288,035,113,780,709,115,896,685,111,979,716,070,401,181,592,388,997,
182,840,774,295,841,653,170,040,398,180,126,824,788,675,269,512,566,708,830,
232,759,300,664,074,732,641,164,673,838,692,867,641,225,317,999,512,223,046,
276,420,191,083,935,764,069,582,474,609,783,593,920,171,236,727,727,420,587,
376,410,583,418,146,854,753,267,395,436,677,444,281,384,388,231,215,073,702,
941,606,875,972,778,223,764,520,351,571,984,520,988,057,177,458,169,830,534,
080,470,696,980,927,934,055,689,336,169,263,707,017,233,535,367,715,396,521,
113,113,843,346,722,455,078,631,696,279,552,156,741,877,974,290,752,887,239,
749,779,066,839,673,650,014,021,763,454,877,098,999,120,134,907,729,333,403,
833,144,796,193,385,984,700,055,622,430,796,161,942,436,533,457,292,582,402,
788,584,696,995,084,125,174,157,404,413,089,424,226,399,388,418,045,039,900,
685,349,332,738,642,182,200,479,642,539,667,545,210,835,609,049,795,986,765,
066,048,848,711,265,473,510,258,892,120,331,892,088,583,015,899,815,665,851,
995,476,855,019,671,327,546,860,821,391,632,954,415,976,091,321,468,356,039,
839,104,804,800,881,091,880,328,006,332,557,496,340,315,662,411,257,557,018,
899,850,090,712,604,108,166,691,549,510,802,223,050,199,166,606,115,863,044,
660,005,970,513,436,831,118,102,881,875,582,786,939,222,810,011,608,941,254,
259,383,724,563,475,303,304,073,296,550,231,090,472,306,620,915,560,248,109,
262,597,796,742,783,503,328,400,723,601,173,573,481,769,513,957,937,224,763,
266,082,146,614,850,175,028,339,961,728,486,167,564,927,382,849,573,717,467,
031,467,865,973,982,314,340,340,040,760,784,965,418,415,118,692,019,884,021,
120,344,926,834,465,906,143,179,330,380,775,432,854,349,288,503,292,755,887,
432,483,858,570,664,816,036,819,024,738,897,020,773,465,858,292,220,963,834,
268,354,885,128,955,026,638,845,009,268,045,099,767,179,430,957,350,482,971,
332,114,584,293,721,742,191,285,806,068,307,745,992,232,586,553,901,825,241,
420,882,072,873,057,575,369,673,878,523,304,005,263,925,376,745,561,754,803,
387,458,934,143,665,892,602,071,323,023,007,683,812,213,535,185,073,923,133,
618,979,256,360,172,932,163,967,240,530,352,086,042,881,920,005,222,988,416,
578,075,689,315,537,054,922,233,566,087,037,143,303,666,525,088,063,455,838,
075,455,726,625,480,390,100,028,057,616,943,012,811,191,559,922,323,080,870,
245,404,448,340,565,206,098,358,583,605,689,161,877,904,212,047,334,616,841,
765,740,397,440,382,232,026,208,815,438,969,175,341,467,145,982,795,191,167,
042,985,333,724,783,685,547,205,894,033,886,763,035,406,344,934,192,753,232,
200,920,681,125,044,829,237,337,585,356,212,797,648,109,031,886,778,105,240,
647,649,049,132,364,048,216,674,389,489,651,197,701,446,312,974,160,515,064,
698,013,613,447,623,372,694,595,429,133,516,284,909,389,908,284,261,077,811,
864,653,945,651,124,834,370,585,920,405,137,684,698,309,657,005,281,332,512,
828,950,748,497,007,146,637,562,440,813,067,066,492,657,933,860,787,488,203,
502,391,114,498,089,960,097,093,494,313,981,590,974,663,507,650,764,724,624,
719,448,959,340,345,912,245,869,423,590,554,016,274,447,898,198,175,871,907,
249,098,392,924,271,986,971,216,094,696,711,551,289,267,771,393,111,645,650,
305,535,422,667,365,141,893,505,729,767,192,758,813,019,994,160,561,832,811,
315,382,613,647,245,232,765,261,696,021,870,957,074,208,410,341,920,434,856,
513,517,016,914,517,621,349,268,823,344,067,637,588,666,238,881,177,935,969,
605,904,500,410,584,068,272,616,795,126,157,456,742,350,852,491,040,919,158,
724,014,604,843,486,567,121,494,801,344,588,019,431,529,478,460,876,653,853,
505,214,397,765,938,607,158,342,841,668,189,860,568,974,775,316,866,313,501,
271,430,522,682,840,051,611,603,267,887,125,968,340,123,726,295,954,694,111,
622,585,944,326,005,584,331,241,008,275,017,296,259,060,427,769,478,230,888,
351,684,441,867,981,206,239,498,921,696,396,103,100,603,722,662,457,811,621,
772,413,349,954,436,143,804,672,159,575,549,130,685,375,414,380,415,763,992,
492,112,069,978,893,782,697,573,370,325,000,446,976,237,056,557,678,401,992,
662,314,041,724,203,230,565,061,537,848,639,998,600,040,768,490,022,473,038,
555,781,047,677,913,992,208,835,193,856,034,091,679,017,012,911,675,831,179,
558,761,804,629,414,897,694,738,366,435,987,051,429,873,132,814,224,499,312,
136,894,373,772,849,318,933,786,088,332,374,462,547,588,159,359,099,769,698,
110,979,671,515,274,397,042,930,139,572,955,680,499,453,127,299,831,978,177,
372,529,888,483,048,989,882,606,083,048,657,946,698,428,459,277,437,329,121,
190,365,820,804,821,864,320,778,326,041,729,513,295,243,907,277,425,674,548,
606,934,122,611,035,147,392,096,996,964,384,151,506,482,591,658,425,160,582,
647,542,390,319,143,385,848,412,576,371,799,608,091,914,232,228,292,162,095,
203,682,602,788,901,720,199,192,877,468,313,085,434,409,916,875,152,481,756,
383,409,662,807,120,863,549,729,522,135,713,240,862,906,390,188,628,165,395,
366,207,407,772,237,635,343,157,290,428,024,881,818,188,470,330,782,040,128,
991,729,042,854,168,098,877,076,121,154,826,176,811,818,541,770,580,356,684,
539,645,179,265,415,565,418,191,173,027,178,624,488,602,839,564,242,505,626,
705,418,952,301,898,985,177,494,334,726,284,011,250,481,163,669,100,365,037,
202,887,296,077,805,861,768,988,832,887,958,211,496,902,688,743,918,923,482,
837,433,840,009,781,337,511,466,787,077,384,849,171,707,796,605,661,298,063,
101,551,229,718,888,552,989,864,489,241,681,275,133,070,364,209,753,376,477,
554,786,045,092,748,863,136,870,053,600,791,859,353,145,448,440,505,573,237,
253,989,713,605,106,992,443,623,735,722,163,086,203,870,217,418,963,120,597,
697,565,201,531,314,605,076,495,032,786,575,581,982,272,245,498,461,204,165,
153,747,091,758,538,061,201,218,679,379,452,843,285,636,530,655,610,505,077,
296,007,992,200,414,450,779,151,804,121,177,133,752,825,660,134,589,625,206,
887,417,408,622,013,055,590,354,312,421,857,894,333,022,398,509,626,734,988,
143,641,285,332,825,753,792,110,311,520,197,766,743,489,334,704,156,233,941,
243,127,711,914,743,278,390,722,598,081,552,967,080,215,926,277,176,374,786,
815,623,768,656,042,285,726,026,707,995,463,575,067,466,461,685,749,991,208,
191,513,698,807,096,535,460,938,693,739,750,378,573,587,736,648,498,594,987,
278,354,174,733,311,734,971,109,196,557,740,339,425,828,209,870,466,320,038,
591,628,387,015,645,052,013,504,768,986,112,946,158,188,035,494,374,725,721,
123,100,809,695,506,707,215,107,490,633,758,805,156,720,433,999,173,982,694,
257,236,542,837,820,286,188,664,046,398,976,621,441,432,739,284,003,406,441,
036,122,582,673,175,184,529,446,779,122,411,088,568,372,056,805,924,381,620,
624,805,789,913,938,339,371,138,697,335,155,147,492,434,877,419,597,859,573,
654,752,353,547,376,419,825,313,649,960,626,665,702,676,928,842,604,435,627,
262,678,361,015,598,029,365,042,046,553,715,989,066,173,089,550,338,663,028,
600,865,859,479,557,470,612,870,094,974,084,710,451,037,977,644,542,608,455,
913,978,215,309,587,940,095,027,737,856,476,774,608,239,624,858,043,816,009,
040,381,529,888,645,219,953,478,999,814,713,547,484,605,689,248,366,541,590,
483,243,109,504,456,868,738,375,056,764,077,460,678,321,463,347,078,847,763,
271,995,525,660,559,060,299,905,325,885,823,284,490,696,549,089,049,393,258,
405,673,978,681,547,347,374,480,519,456,779,440,065,394,935,747,793,366,633,
535,427,616,207,320,628,883,253,847,803,736,210,431,179,291,467,055,687,377,
904,963,194,854,687,298,009,065,290,123,269,149,143,446,400,834,414,616,674,
588,985,520,688,185,390,277,778,586,603,879,218,101,720,629,495,800,249,408,
700,465,817,673,883,404,951,775,030,481,734,079,096,648,812,511,777,102,806,
680,967,170,611,230,551,595,050,561,736,195,097,030,356,355,155,401,944,048,
030,887,255,545,313,070,158,690,316,242,501,277,905,224,248,685,569,565,626,
092,132,268,489,962,860,233,325,793,654,163,258,487,539,669,561,753,135,508,
542,168,019,378,097,901,913,211,442,969,930,742,886,568,680,277,470,355,407,
423,940,342,895,987,971,628,922,210,419,201,182,882,795,457,984,629,260,493,
084,010,640,005,617,751,954,262,223,797,065,503,123,512,675,219,878,633,658,
992,569,552,507,542,918,372,353,018,539,615,710,261,465,668,175,915,340,197,
663,920,078,293,065,371,731,575,308,538,894,129,570,501,466,436,545,329,404,
710,449,000,580,723,410,237,178,069,002,343,991,823,129,395,130,988,909,644,
804,832,412,585,568,126,627,611,456,623,825,846,872,539,676,794,325,049,342,
030,937,629,671,781,405,731,236,730,146,499,524,164,610,026,620,775,732,418,
327,653,190,127,393,482,667,790,047,102,288,108,623,934,220,908,963,475,969,
743,756,746,416,133,577,173,062,180,539,591,226,947,223,721,223,328,693,740,
880,535,987,425,733,181,509,017,232,994,469,713,173,939,232,383,105,957,074,
054,341,906,728,083,374,643,483,303,879,727,306,117,705,675,592,936,431,335,
811,807,391,771,671,353,180,339,144,350,324,293,581,816,372,645,398,254,803,
164,984,641,795,733,390,917,787,622,252,209,523,123,420,580,892,708,526,882,
187,873,894,349,964,169,364,113,557,004,621,781,759,663,718,858,562,905,170,
628,939,733,297,181,069,065,007,661,788,278,049,904,275,665,711,410,269,337,
747,461,576,271,164,401,021,152,176,532,988,321,697,478,773,024,928,149,281,
846,729,719,161,442,694,810,040,446,991,725,746,806,139,287,575,106,643,985,
614,002,373,839,455,446,789,948,414,906,670,674,384,398,346,340,630,708,716,
656,833,778,090,207,356,191,915,519,443,803,808,681,053,783,751,855,617,811,
074,075,827,484,269,767,906,450,304,574,336,626,134,340,899,342,941,481,649,
260,566,408,145,731,802,257,029,295,105,421,144,749,346,520,896,015,752,479,
413,230,801,909,954,875,693,834,421,155,435,908,812,293,190,016,941,035,088,
534,790,451,100,027,195,170,519,926,229,988,296,304,422,746,555,324,711,687,
932,029,407,051,601,591,829,848,395,732,275,966,221,236,216,621,426,266,465,
967,855,072,510,751,635,412,006,842,060,528,231,829,170,426,001,809,892,366,
403,218,008,872,245,048,012,911,034,875,203,643,733,297,095,922,301,537,278,
882,528,438,716,659,262,770,162,560,913,414,634,227,537,293,452,161,092,782,
331,243,394,569,771,871,578,708,669,827,286,324,487,335,669,968,292,019,825,
933,860,921,041,857,415,868,213,140,742,522,443,848,051,541,174,406,786,471,
416,305,827,909,184,912,831,495,989,007,627,146,548,973,130,018,649,505,788,
041,303,150,106,209,350,035,150,272,827,535,718,581,076,395,943,066,403,045,
729,156,863,024,870,110,869,079,789,277,573,882,011,284,961,014,265,300,812,
226,261,230,045,551,710,296,655,478,644,785,433,374,761,233,707,474,475,060,
381,145,265,918,879,539,072,301,410,232,877,907,430,883,616,325,219,512,776,
399,466,458,618,596,073,040,690,569,512,945,435,435,549,341,487,775,618,676,
560,505,374,376,250,838,134,131,375,012,766,932,350,061,460,717,203,695,312,
651,402,189,434,485,283,461,976,956,593,373,259,446,136,121,170,137,751,551,
096,085,536,452,653,400,122,599,112,758,284,164,959,569,011,522,198,087,977,
011,365,930,888,937,989,994,064,637,667,375,681,306,328,096,543,761,866,379,
980,582,244,709,080,734,039,446,644,258,925,750,785,403,616,839,530,912,960,
278,326,008,093,763,437,733,925,463,631,661,264,916,039,232,886,031,028,826,
801,705,160,337,382,938,528,158,741,565,116,270,186,782,185,988,638,657,865,
681,797,847,659,330,187,284,708,128,350,221,808,215,796,235,039,121,141,233,
934,830,053,298,504,417,234,994,686,031,444,040,718,708,989,987,325,248,406,
618,985,263,927,398,715,639,383,387,364,588,435,123,567,765,832,419,831,787,
973,001,106,813,634,464,348,936,220,868,508,260,130,333,585,659,604,676,788,
580,868,467,776,126,551,431,479,576,196,331,956,124,910,543,713,535,912,952,
693,658,586,742,106,551,440,149,552,339,822,008,595,441,303,717,820,688,613,
830,844,980,994,891,741,875,140,583,978,212,467,841,573,343,511,265,096,466,
070,366,646,965,266,264,401,745,602,205,612,021,548,549,465,900,547,438,048,
346,152,009,074,476,344,520,605,646,317,716,723,923,361,201,683,516,876,125,
855,733,446,775,120,633,454,476,868,218,427,142,948,955,994,844,068,293,112,
106,858,953,100,607,467,891,527,707,926,242,200,475,318,040,715,534,363,058,
095,538,974,697,232,907,375,234,960,538,558,195,056,584,147,951,684,153,531,
285,470,791,262,933,294,742,722,115,234,743,716,971,030,189,300,225,970,318,
812,303,833,087,755,807,429,968,245,672,165,278,025,285,234,418,158,431,160,
343,896,222,819,320,867,539,787,818,101,165,264,024,076,438,343,965,533,641,
499,148,335,734,722,957,257,143,908,390,714,849,129,632,569,292,421,328,348,
307,078,783,725,121,330,543,264,371,525,356,831,909,149,774,827,969,905,902,
798,560,088,920,514,495,909,190,476,138,682,464,198,882,910,116,965,099,322,
456,043,048,734,889,626,922,079,567,010,023,081,571,205,680,922,993,218,438,
075,883,416,152,061,796,677,891,257,021,743,477,835,431,334,605,682,418,586,
489,294,135,053,287,827,599,890,570,494,525,908,874,769,336,754,729,204,633,
791,275,178,784,470,914,306,936,586,092,549,325,026,879,916,878,058,731,027,
394,254,507,559,923,970,950,445,706,481,227,071,483,468,185,775,874,626,075,
380,527,869,770,250,202,031,664,517,402,992,385,037,886,164,758,482,691,980,
087,481,799,315,149,721,315,874,853,865,684,867,153,281,991,651,896,524,173,
541,342,772,886,550,739,923,254,208,421,711,789,933,939,843,296,014,322,384,
679,523,707,112,190,635,632,189,479,340,648,339,124,566,769,811,326,427,160,
196,774,845,393,984,901,062,167,739,951,295,192,416,760,175,360,566,973,808,
929,336,552,697,714,603,470,837,065,474,792,360,977,020,162,220,144,862,231,
970,111,074,349,907,258,318,184,983,495,903,130,608,234,040,148,300,162,538,
413,196,279,351,454,113,940,195,753,890,931,960,955,834,571,047,421,202,682,
184,728,670,715,055,735,572,736,702,015,483,229,233,205,936,952,772,784,114,
818,572,384,692,212,170,745,485,163,779,196,639,376,682,977,283,516,896,281,
163,075,017,734,938,963,567,858,043,736,710,349,798,535,823,761,212,116,368,
624,092,571,616,056,346,703,610,369,091,194,685,061,788,374,471,312,603,140,
388,031,114,522,632,848,671,862,464,437,415,184,856,097,141,283,389,064,689,
751,313,057,757,947,160,024,735,970,930,094,430,983,220,875,000,628,105,986,
820,733,967,745,920,836,367,484,695,630,252,152,271,608,492,943,298,869,758,
110,551,608,132,661,316,809,278,211,239,759,022,654,321,479,534,785,226,176,
594,244,347,843,941,124,292,806,201,749,486,850,178,906,799,414,345,381,896,
206,679,601,544,029,485,900,020,078,628,753,089,380,901,516,663,943,074,107,
969,522,793,457,119,128,211,330,835,706,741,579,237,327,420,237,258,162,176,
162,846,775,222,982,570,084,033,425,126,604,192,929,645,318,272,796,708,044,
639,695,145,728,994,113,998,545,524,997,554,239,093,986,795,601,330,471,863,
931,594,283,461,647,322,542,839,005,389,690,358,912,928,820,424,755,251,203,
052,834,157,966,726,516,696,806,256,065,212,031,174,969,410,251,342,122,986,
334,266,265,131,206,944,697,848,181,976,359,441,098,705,617,750,176,500,139,
140,575,422,676,706,136,577,968,667,699,103,010,495,946,782,623,244,777,805,
908,838,809,068,013,834,391,590,822,469,053,555,501,260,294,793,335,090,502,
229,342,208,248,520,292,270,638,494,885,066,084,978,946,577,770,544,332,506,
918,780,048,648,035,229,515,608,942,562,770,600,877,001,934,313,018,748,831,
407,277,652,559,599,473,511,946,630,899,442,019,176,576,061,875,057,548,087,
896,395,201,148,095,886,221,067,941,916,389,983,826,042,952,579,505,705,616,
750,551,485,103,884,831,685,990,717,709,212,844,636,110,261,722,185,260,856,
777,581,286,529,911,684,812,082,814,920,593,615,978,948,738,941,136,658,322,
743,877,100,909,511,180,086,760,111,729,808,971,702,229,939,764,197,271,409,
773,842,170,261,056,497,184,649,843,571,921,913,087,453,271,652,415,145,492,
752,554,616,953,074,306,182,537,760,661,655,013,816,210,670,645,006,730,989,
702,041,429,166,256,294,607,071,294,317,769,308,803,785,043,032,583,774,679,
045,459,576,169,729,643,800,588,952,867,298,810,008,170,867,338,029,608,407,
780,676,236,000,463,473,031,080,523,893,312,356,255,459,011,460,148,267,753,
681,288,539,353,081,690,884,194,515,180,183,431,393,657,294,837,795,768,071,
238,747,105,376,075,864,483,116,384,794,245,228,287,723,817,670,012,649,233,
303,808,424,117,226,248,309,193,603,618,922,543,708,088,284,826,176,236,923,
940,371,708,677,601,117,670,472,621,394,774,192,818,082,056,817,317,458,647,
907,870,743,113,834,891,487,592,349,699,044,408,112,306,063,690,543,619,828,
901,070,932,056,411,105,130,260,509,412,415,951,118,812,987,916,681,687,646,
762,117,578,260,699,741,268,978,538,537,227,527,396,246,059,651,635,951,226,
595,411,053,694,366,720,903,031,228,092,087,688,590,007,125,975,408,352,310,
719,295,113,831,470,825,320,858,043,843,208,653,819,244,017,572,192,811,641,
828,946,982,662,187,540,147,689,407,060,077,642,128,731,007,133,864,447,116,
384,637,073,062,113,654,096,676,964,564,177,120,429,385,120,114,420,775,497,
100,504,852,185,321,494,633,124,640,159,289,841,004,693,880,072,964,401,898,
992,550,413,148,308,491,589,312,204,293,967,487,109,017,803,224,831,963,125,
677,270,354,045,204,178,815,450,801,397,398,233,259,427,511,050,918,802,798,
517,926,614,830,799,274,750,446,867,347,867,883,334,484,636,492,032,842,852,
975,341,467,123,066,913,655,934,633,685,330,563,995,674,881,726,247,687,961,
080,764,394,805,712,478,811,770,991,908,847,747,490,161,640,104,668,765,157,
396,408,285,520,042,720,101,550,248,363,434,712,670,699,123,346,379,156,614,
437,904,243,460,629,346,908,407,100,832,700,811,059,755,636,127,665,589,215,
282,039,049,601,195,427,788,671,817,976,069,068,969,554,032,179,689,163,657,
101,088,024,566,874,351,148,085,147,925,297,314,489,292,197,915,840,745,347,
857,860,671,226,217,952,237,997,261,578,677,853,156,966,819,152,399,721,310,
748,999,993,148,240,950,174,949,493,154,529,163,464,895,177,880,008,502,505,
632,902,601,782,679,785,825,080,933,574,343,370,568,577,202,383,889,472,248,
447,345,183,571,348,723,499,924,644,785,116,772,252,019,571,774,048,741,450,
792,720,478,499,230,841,611,708,385,910,615,875,541,353,310,878,671,929,390,
290,892,124,212,989,979,772,168,725,106,576,736,237,231,249,070,225,436,422,
731,350,712,916,697,407,230,851,149,000,187,998,736,256,790,601,990,451,510,
201,107,999,503,068,076,947,962,974,163,785,673,988,222,232,514,341,820,866,
462,698,245,604,524,535,539,532,416,364,476,482,051,460,070,123,346,091,608,
285,447,992,955,791,926,224,120,411,009,534,035,253,829,309,478,340,853,339,
090,226,023,190,868,415,057,494,303,161,644,352,937,334,728,080,530,730,415,
474,165,715,804,811,978,380,512,571,379,295,320,012,912,309,489,324,168,599,
614,957,848,196,713,651,037,090,551,720,421,612,867,143,304,739,299,324,699,
037,520,689,438,718,587,479,083,880,398,262,674,866,426,087,672,705,881,325,
469,965,854,489,960,803,069,378,395,538,882,290,811,496,670,544,779,597,598,
108,832,097,028,475,855,993,125,444,497,160,987,562,882,316,225,353,595,757,
712,859,739,748,947,797,169,735,084,141,707,409,211,523,580,143,392,697,194,
082,664,067,631,671,817,544,059,612,360,501,889,083,147,501,458,595,293,369,
724,371,102,122,694,142,056,849,373,130,727,918,464,307,162,649,438,445,784,
841,827,080,925,724,422,578,994,570,023,875,800,818,014,105,510,906,227,082,
022,527,103,687,027,942,039,611,848,033,661,462,095,246,575,484,309,672,682,
827,770,537,858,682,104,580,569,926,768,172,919,927,827,494,432,302,288,815,
342,794,195,488,927,555,470,680,105,418,639,916,289,427,161,395,390,624,028,
896,204,472,011,959,316,284,511,359,123,277,791,802,070,328,856,320,776,851,
140,378,024,091,461,844,987,189,510,740,167,487,584,358,814,963,328,990,912,
293,275,546,977,740,471,574,394,208,140,191,525,806,114,464,292,684,034,170,
717,129,438,235,195,336,915,315,626,203,790,181,139,387,805,478,104,683,192,
568,626,654,325,983,780,783,052,598,061,334,513,192,753,822,919,049,844,625,
747,826,304,235,285,736,542,768,946,949,609,269,519,834,573,583,252,506,223,
821,226,894,183,277,734,136,771,484,860,491,998,753,808,831,979,478,225,098,
773,423,013,412,884,565,424,228,523,935,345,168,345,498,935,469,815,809,714,
231,585,511,288,970,246,657,643,479,993,915,270,282,505,383,976,601,931,588,
221,992,822,421,477,267,178,389,185,189,699,156,557,074,745,513,725,856,117,
979,036,914,810,562,332,833,331,364,426,050,309,107,872,012,078,746,759,412,
730,205,666,294,002,124,140,208,468,070,642,202,066,633,801,283,615,941,382,
919,578,577,900,115,876,689,987,987,910,577,674,490,135,982,585,637,099,534,
729,914,206,099,307,909,538,605,138,826,193,745,607,945,719,337,786,041,671,
036,295,910,466,839,571,192,034,469,796,238,014,224,654,566,417,948,675,358,
371,052,105,589,846,653,825,970,584,505,850,341,556,965,907,000,158,458,746,
380,984,239,762,252,387,816,184,875,656,288,382,600,241,435,185,920,525,139,
256,251,287,738,403,928,230,030,982,062,380,940,269,944,006,695,512,491,713,
334,482,492,867,772,539,645,414,338,972,279,979,765,470,273,962,067,220,349,
741,446,071,019,081,864,024,395,388,127,748,395,749,884,516,121,437,727,042,
086,600,089,110,008,524,288,957,546,231,280,825,260,358,860,234,605,777,971,
531,615,335,702,521,305,355,908,863,901,010,309,102,617,269,184,780,360,616,
720,373,087,113,537,235,643,754,070,616,722,645,646,565,339,568,708,983,556,
517,980,990,069,288,817,000,905,226,797,600,785,675,294,401,522,031,003,339,
293,532,205,247,515,082,039,118,181,842,160,377,069,780,669,432,765,771,803,
482,134,723,775,242,982,137,207,607,886,397,162,615,077,570,438,557,944,641,
819,094,914,429,341,068,813,965,905,219,115,992,742,909,010,865,054,995,103,
273,170,676,516,121,750,353,540,585,824,911,241,475,667,464,665,919,771,993,
132,539,461,913,513,575,997,917,218,970,576,374,576,916,459,997,776,635,847,
216,723,042,885,129,918,198,202,988,581,951,110,831,224,796,462,277,681,716,
405,365,723,292,224,012,557,397,208,271,952,211,191,484,026,652,569,566,492,
552,169,533,776,057,113,101,743,286,884,483,429,127,183,524,367,921,334,885,
170,926,185,689,683,440,056,124,595,318,424,527,612,713,546,407,646,174,072,
558,197,581,403,388,616,039,754,279,636,559,470,665,706,616,677,989,721,130,
059,206,086,352,337,912,241,250,244,782,439,655,884,162,993,156,798,808,921,
435,022,019,494,779,072,909,640,584,798,133,093,099,278,697,172,109,028,161,
202,952,029,040,779,987,224,915,668,131,214,212,301,475,390,002,884,546,778,
522,122,902,168,402,521,269,550,914,228,771,232,751,420,143,731,642,534,284,
891,122,580,879,869,297,436,908,903,050,596,215,946,721,584,537,732,098,744,
696,446,066,377,009,480,948,442,282,795,719,766,449,601,118,219,539,340,621,
063,868,693,818,529,986,558,427,766,570,501,860,710,206,404,987,881,354,271,
732,079,679,059,237,274,847,322,445,386,990,879,167,740,976,065,407,735,271,
014,137,549,787,056,681,898,023,139,312,345,391,543,463,907,458,455,171,399,
058,903,485,295,108,076,571,527,447,282,314,916,061,612,971,180,712,749,390,
377,990,754,892,638,489,774,433,843,501,285,095,302,835,939,740,446,480,264,
163,768,061,905,335,310,734,443,883,733,825,212,764,249,516,595,695,499,632,
230,456,670,948,922,014,956,263,396,781,774,979,160,112,779,026,962,907,233,
977,902,770,181,731,158,725,330,880,382,075,430,294,324,029,602,407,888,428,
932,702,587,104,236,778,285,368,874,317,881,406,564,868,054,468,334,722,030,
193,445,224,909,202,452,616,991,586,897,550,856,700,640,260,781,214,534,232,
715,641,667,092,542,854,944,953,065,860,078,769,123,156,709,172,068,401,836,
719,450,347,297,569,238,409,209,985,797,639,198,637,512,284,442,559,638,311,
051,153,368,636,349,673,738,227,427,881,376,735,323,865,732,469,575,635,747,
129,302,888,222,514,628,229,683,343,950,654,083,546,960,800,914,735,055,023,
835,911,944,102,491,578,968,095,154,066,123,967,642,575,598,620,951,142,979,
113,652,745,556,993,611,440,433,730,228,442,820,587,515,012,679,815,019,640,
785,911,288,629,958,769,566,093,232,746,914,453,169,673,130,362,191,102,362,
058,826,334,177,409,502,266,631,113,734,942,393,089,495,960,279,042,168,217,
162,273,757,032,238,661,775,271,004,950,494,774,101,980,087,743,562,904,047,
350,960,865,074,704,894,413,996,541,669,305,518,098,858,921,421,072,706,385,
671,879,933,674,582,991,284,922,631,827,520,111,797,622,531,481,285,440,737,
794,359,474,250,736,105,845,360,081,752,849,567,903,011,508,776,296,072,608,
114,310,106,608,652,979,650,319,515,697,956,911,931,180,721,055,078,990,965,
691,280,304,748,571,449,109,293,492,428,855,325,038,773,297,502,971,881,496,
785,496,914,540,540,024,808,541,361,499,382,298,682,128,509,529,320,340,876,
838,434,680,609,064,628,256,878,413,849,238,497,847,858,613,872,101,649,959,
154,406,809,434,746,239,524,881,485,395,978,213,788,735,183,958,401,692,727,
198,058,265,156,132,068,077,879,399,518,673,507,873,309,087,707,755,123,022,
365,809,649,770,951,104,585,609,711,030,799,064,149,810,935,191,775,486,001,
594,126,360,527,877,427,885,691,086,238,028,911,271,858,744,774,143,420,879,
645,216,874,603,409,365,681,325,884,424,653,772,283,504,391,286,463,860,226,
635,805,321,164,508,998,673,074,140,608,968,262,785,791,106,942,667,476,204,
643,150,568,397,033,950,394,086,210,993,762,479,943,067,373,285,800,262,621,
596,564,426,704,795,695,401,450,207,696,648,029,145,511,599,447,826,014,416,
540,285,371,625,399,142,657,948,250,585,417,619,639,276,261,823,039,055,272,
356,189,077,174,115,164,509,992,824,800,122,441,839,685,609,350,882,969,121,
957,758,265,846,042,346,770,606,303,831,191,429,767,182,086,242,335,833,878,
087,520,498,115,810,775,932,827,562,854,366,494,589,391,288,295,758,743,849,
388,234,199,327,896,488,883,075,859,815,761,812,312,709,873,624,186,771,221,
380,696,682,089,925,468,929,800,992,223,690,505,783,648,538,608,468,750,332,
621,785,219,813,632,737,866,506,913,815,160,412,862,456,949,135,575,987,953,
558,029,509,363,975,262,320,345,811,876,398,671,430,628,433,470,228,864,631,
746,426,055,206,571,174,265,661,663,665,528,521,598,096,747,255,484,001,667,
436,249,588,197,938,324,238,740,380,132,287,700,700,609,127,457,375,205,654,
827,683,863,144,988,131,841,824,125,082,713,503,209,006,232,763,876,378,440,
380,886,775,874,698,715,112,819,485,878,592,129,559,980,283,332,856,766,933,
823,784,935,912,256,719,093,633,954,208,778,712,688,896,166,611,721,981,073,
867,794,417,306,001,273,774,727,851,641,554,290,822,376,149,390,379,715,850,
463,765,031,302,382,726,633,836,561,457,103,364,926,533,976,777,175,649,918,
347,479,469,977,433,922,241,819,028,515,348,619,317,659,591,488,367,543,253,
464,180,345,944,509,522,088,966,253,886,490,495,961,406,105,226,033,570,256,
470,212,411,256,808,149,413,111,667,288,793,260,645,647,003,311,998,152,987,
079,001,425,974,603,673,071,501,071,176,349,304,627,429,025,162,069,818,621,
240,988,756,049,224,220,459,590,072,885,003,933,194,616,120,015,895,914,586,
381,746,074,377,866,597,462,898,509,515,117,484,515,174,617,460,395,407,901,
517,678,874,900,496,661,529,465,642,584,537,662,379,638,530,083,780,169,367,
711,042,221,908,038,839,477,606,007,667,958,877,438,781,553,552,098,242,015,
597,914,194,281,298,255,653,245,718,245,223,743,273,138,929,020,794,785,230,
986,011,296,110,697,685,529,226,859,825,473,535,364,598,814,158,063,254,330,
686,088,233,072,171,955,956,712,603,502,973,002,024,133,237,013,213,952,217,
222,395,638,658,238,842,632,923,849,426,039,117,884,781,377,327,483,568,352,
074,369,885,219,440,664,039,060,205,145,679,233,730,230,658,183,654,993,338,
006,772,799,602,886,597,929,628,336,834,227,215,238,962,634,429,537,687,944,
192,136,947,324,241,822,509,783,901,441,253,292,382,106,036,512,345,075,032,
168,447,815,794,179,138,017,787,117,735,999,819,056,187,533,712,015,860,188,
639,560,557,464,573,787,930,834,932,090,444,683,401,751,579,686,219,938,931,
110,050,027,630,054,639,038,702,135,394,985,900,634,825,791,720,617,697,082,
647,803,712,643,678,282,353,298,671,870,306,515,526,010,658,378,068,503,507,
336,851,412,179,455,414,263,332,073,158,989,010,058,858,211,285,114,350,132,
659,976,651,708,446,666,572,280,089,851,482,739,644,027,195,442,089,934,223,
571,300,719,928,895,843,204,959,479,521,500,713,527,927,964,705,870,347,120,
218,914,549,069,573,969,431,126,495,097,696,567,195,690,213,224,955,431,678,
334,115,500,399,486,439,909,424,887,052,071,412,778,649,667,063,657,807,042,
043,450,638,419,405,612,576,253,788,911,847,361,122,897,765,166,171,596,118,
285,437,535,834,622,426,271,513,997,628,438,830,916,675,775,784,624,223,654,
708,469,370,449,919,243,932,009,743,945,658,792,444,131,835,991,109,033,894,
304,077,512,527,275,269,338,612,542,666,508,084,782,797,451,286,502,778,598,
015,337,679,489,215,730,221,383,942,498,804,206,053,239,012,044,220,824,716,
284,933,281,244,164,719,918,428,604,096,561,945,868,413,353,127,303,401,981,
861,498,206,283,982,968,758,783,766,427,075,437,852,712,485,398,029,495,970,
970,791,210,176,730,079,235,233,416,665,080,460,781,205,358,491,938,817,774,
503,697,007,926,177,526,249,974,435,427,731,505,088,484,462,894,348,232,636,
532,463,901,768,244,427,658,622,054,418,860,819,232,208,438,118,444,044,052,
701,179,412,772,464,463,985,487,725,146,981,286,644,472,373,623,267,535,661,
703,176,601,867,611,115,145,858,649,497,483,329,821,389,085,978,578,834,526,
521,350,590,879,953,640,216,179,858,718,533,390,058,082,244,451,152,602,361,
320,309,530,918,075,305,991,710,573,097,462,298,504,495,530,335,880,743,043,
227,496,023,813,181,600,458,241,040,937,636,048,859,026,187,877,951,679,888,
077,412,930,758,412,282,439,026,075,264,404,519,790,675,324,031,705,905,237,
704,905,517,617,707,612,823,419,009,659,179,052,604,963,784,898,589,212,918,
763,673,169,472,526,985,821,605,436,771,419,829,060,457,429,361,630,226,455,
633,102,844,821,476,545,957,951,344,296,394,611,707,199,325,525,865,590,371,
736,310,128,697,608,551,597,611,012,439,949,353,035,016,099,413,375,410,003,
841,486,571,533,831,941,165,868,152,641,125,982,078,479,955,640,980,851,637,
752,793,507,715,497,747,070,611,749,531,790,794,341,098,241,459,411,535,786,
356,502,243,048,125,755,402,893,395,590,867,363,916,565,586,143,558,268,410,
013,011,661,199,254,207,776,905,445,647,441,958,807,822,357,238,143,064,834,
057,910,602,654,838,822,082,446,206,143,969,927,892,439,088,011,955,369,864,
264,635,331,808,653,089,392,490,036,169,699,684,766,495,871,717,186,289,679,
373,683,316,568,083,503,027,555,212,542,904,287,557,876,574,821,665,632,951,
050,906,993,087,381,097,562,449,352,698,417,688,890,987,404,012,772,494,805,
964,788,822,317,298,289,997,714,768,832,414,998,275,310,838,236,685,142,327,
017,873,703,179,155,089,822,822,826,304,695,293,590,062,919,561,542,055,280,
971,891,290,108,334,019,352,747,846,371,945,466,530,743,821,653,287,829,021,
154,583,365,628,714,572,853,693,714,322,020,845,506,617,425,105,961,830,529,
535,634,909,768,568,278,338,865,234,734,461,970,808,924,132,661,018,966,397,
342,764,935,794,497,582,154,284,454,305,572,246,727,397,210,264,235,755,660,
271,784,134,557,128,844,158,515,646,859,991,197,492,488,810,796,300,876,445,
055,165,618,070,572,037,069,708,682,880,745,610,477,466,738,651,194,068,672,
270,476,923,189,791,093,761,621,581,282,809,517,357,399,543,902,932,925,541,
672,297,799,379,494,326,323,809,255,904,498,980,148,606,293,265,008,448,861,
490,914,392,055,528,022,988,665,119,181,587,374,543,100,214,797,337,085,165,
658,573,903,183,478,347,410,791,843,954,406,232,830,241,595,734,076,604,475,
029,330,304,494,616,359,730,181,099,352,705,107,253,659,661,751,405,352,680,
359,258,439,523,302,465,005,304,251,008,241,621,916,482,413,307,852,451,301,
690,991,878,773,262,817,468,402,625,728,517,322,590,384,783,985,914,723,213,
559,352,485,915,599,537,072,800,361,223,557,455,939,634,267,784,482,331,802,
396,719,018,862,736,758,210,853,363,170,488,944,322,875,051,652,979,002,427,
387,160,350,828,170,234,553,099,335,055,381,383,816,375,901,754,265,507,125,
660,038,361,284,723,365,833,432,724,276,198,009,722,368,024,104,117,853,826,
559,044,115,134,769,879,916,438,838,728,839,073,170,929,931,805,188,378,692,
676,056,088,926,757,677,545,803,707,355,779,810,282,309,994,773,384,026,916,
706,833,898,605,269,649,424,370,906,738,253,580,090,822,394,262,385,794,745,
730,636,053,874,237,382,761,231,280,204,576,842,437,191,857,919,487,340,139,
679,319,857,747,961,522,685,356,508,069,328,713,551,069,420,114,155,633,682,
941,409,156,059,488,471,818,668,617,136,123,848,662,916,697,529,305,381,937,
150,508,518,047,585,141,837,916,853,980,290,614,838,419,096,892,526,972,160,
022,565,073,740,566,320,489,412,575,477,179,064,435,004,855,539,227,383,467,
759,732,558,595,217,766,432,078,650,348,508,722,198,848,474,694,623,002,285,
542,320,922,458,767,814,439,748,410,049,527,506,142,927,659,115,171,152,453,
973,479,598,571,110,119,729,983,658,055,682,942,298,291,597,228,282,977,306,
789,119,790,926,143,865,446,026,821,522,378,406,452,139,900,272,503,587,927,
788,408,673,018,884,566,014,527,585,095,260,499,278,719,103,535,046,023,457,
655,690,524,202,704,764,106,483,505,890,545,378,385,014,064,379,633,985,916,
425,755,512,786,515,084,390,316,911,702,397,592,741,853,149,483,935,826,618,
064,708,541,034,441,746,210,790,971,440,340,690,976,813,882,579,236,571,602,
806,613,284,521,818,166,906,755,594,181,138,482,313,694,284,918,424,873,016,
146,377,650,312,062,335,794,632,349,719,764,894,343,639,534,447,662,269,615,
637,425,127,122,859,923,153,060,633,186,519,985,225,712,528,415,480,086,102,
627,317,381,631,548,681,796,245,492,448,972,084,012,493,239,129,986,909,710,
050,063,152,422,340,136,412,004,896,829,159,301,824,056,870,382,617,482,117,
126,216,952,653,047,088,401,470,003,577,269,663,711,850,672,732,095,195,674,
255,494,354,947,732,987,992,284,923,121,689,372,510,020,946,102,622,736,861,
312,205,290,751,145,502,256,211,630,687,993,652,699,372,163,639,657,547,764,
712,227,323,914,277,625,537,926,666,354,682,912,192,962,516,200,950,648,382,
756,765,512,029,900,589,522,597,790,351,875,749,443,814,135,386,855,753,876,
816,712,851,380,764,426,365,912,439,877,007,112,204,893,729,025,524,506,623,
766,252,140,582,219,681,899,518,339,261,012,376,502,765,628,307,662,312,390,
075,606,846,242,193,519,523,380,877,999,207,890,546,319,989,122,449,355,971,
004,816,111,124,200,859,706,184,250,768,349,145,362,919,706,458,257,490,961,
301,630,813,422,277,803,428,677,537,246,906,031,147,758,318,461,288,538,097,
348,274,603,540,164,993,687,821,635,164,527,563,341,839,956,625,351,013,344,
440,164,081,526,022,805,208,230,456,604,099,820,493,587,536,553,944,290,543,
019,396,514,618,035,593,487,437,296,855,320,715,836,484,284,701,846,833,907,
962,814,538,005,047,487,419,722,711,998,706,529,100,148,236,657,710,168,578,
951,735,560,650,281,172,300,958,637,248,369,973,898,053,362,831,012,938,014,
672,783,033,744,221,420,183,537,161,030,526,259,035,257,571,350,885,223,767,
334,768,979,169,877,235,143,489,451,129,840,828,348,978,771,680,143,814,940,
685,244,720,220,319,600,904,409,583,012,881,469,593,285,243,245,988,238,465,
780,097,206,178,603,835,104,636,971,408,282,084,148,407,507,752,518,316,031,
731,649,075,774,286,332,537,999,373,759,359,807,936,701,184,914,301,959,757,
227,536,127,779,942,734,349,403,350,337,516,264,442,121,293,899,901,923,022,
060,831,650,090,422,447,283,954,948,318,763,364,945,377,472,918,648,031,790,
175,765,562,467,523,671,770,182,223,595,378,963,160,551,110,375,357,933,150,
729,564,392,024,230,518,563,919,990,135,770,788,759,021,467,325,280,698,283,
671,978,822,120,231,210,422,321,683,845,645,329,273,659,983,993,850,548,781,
656,749,792,796,542,079,096,541,629,589,335,240,290,001,208,565,495,990,451,
295,669,850,966,494,304,353,721,902,509,023,190,045,513,803,656,895,272,445,
443,966,244,495,822,166,067,835,613,491,299,537,814,216,867,868,916,831,253,
988,134,861,368,877,699,673,176,472,572,270,293,312,450,802,653,006,829,728,
926,637,855,190,324,878,419,496,982,753,215,709,695,823,447,777,319,967,173,
337,477,961,092,421,630,947,210,496,693,989,498,958,992,038,660,904,416,174,
080,537,122,448,886,745,202,659,167,154,267,229,058,504,794,574,609,034,606,
664,761,844,898,919,014,137,910,745,040,669,857,128,739,768,312,726,287,696,
332,361,657,036,886,653,904,810,120,962,660,218,465,476,743,852,964,406,902,
604,801,736,794,333,876,767,808,285,314,723,079,174,503,935,617,351,436,335,
802,946,093,686,671,928,996,461,175,257,222,560,429,628,987,327,957,940,257,
351,000,949,868,056,317,091,028,668,195,938,018,540,782,683,036,025,488,853,
949,718,980,965,341,643,365,350,533,752,659,088,845,957,503,462,001,233,007,
107,882,582,281,989,748,249,107,332,231,980,942,398,281,663,575,860,399,418,
769,920,735,076,666,450,356,765,391,460,745,785,039,944,949,303,544,333,097,
780,660,568,474,740,504,465,822,466,470,325,575,201,600,544,475,663,894,299,
925,018,540,292,254,257,023,474,859,304,430,220,933,405,479,129,575,721,748,
555,195,592,107,105,139,979,184,109,939,507,525,915,659,548,578,183,708,306,
357,621,229,692,564,964,419,460,340,178,738,465,803,207,960,485,108,598,240,
239,000,807,152,585,241,844,153,087,530,105,834,761,150,422,914,692,853,154,
549,441,698,211,275,812,149,796,104,199,945,571,067,925,238,190,248,280,116,
292,054,234,209,226,721,550,386,726,811,211,247,406,190,667,357,903,373,127,
236,893,167,646,929,082,883,751,755,682,707,756,746,818,880,256,207,651,707,
137,590,322,794,090,579,616,878,527,450,826,752,557,553,075,331,760,781,450,
954,379,080,237,834,091,343,825,383,942,199,944,559,476,225,942,050,956,344,
937,882,731,919,720,992,022,994,078,538,511,311,457,583,017,230,654,924,221,
709,815,811,552,462,247,271,530,524,346,118,828,856,961,431,514,520,967,589,
343,424,871,261,153,980,111,264,651,217,236,016,965,393,474,494,997,539,988,
792,239,775,098,979,427,701,734,178,906,863,160,900,624,434,881,797,550,344,
269,603,544,002,330,489,974,065,365,535,648,972,704,374,119,105,772,255,036,
153,610,222,955,613,380,300,451,040,975,213,310,319,583,091,795,878,205,547,
873,878,889,832,435,783,100,277,129,752,114,823,267,346,352,199,223,965,860,
988,585,691,851,897,400,493,852,488,624,986,101,531,227,499,753,404,270,065,
097,539,487,911,723,471,558,022,061,271,334,748,024,619,740,692,822,241,895,
737,688,183,382,219,610,580,805,318,095,622,924,330,960,773,440,166,918,923,
554,768,257,832,566,131,686,994,020,393,806,917,794,415,732,317,957,054,226,
491,579,223,200,563,557,198,840,567,473,403,971,870,595,407,911,580,293,795,
559,054,274,834,595,597,410,794,952,486,189,672,909,701,846,209,322,611,713,
505,495,880,325,027,367,225,178,239,728,291,207,021,765,287,164,835,907,200,
344,724,946,910,959,319,564,949,270,410,387,602,147,055,403,879,840,797,358,
095,611,989,294,443,341,709,814,758,632,578,688,213,836,258,262,207,609,027,
986,768,323,522,132,608,206,795,557,221,484,288,896,521,397,872,536,302,974,
800,462,826,254,526,991,370,301,116,020,054,820,515,036,605,468,180,715,830,
002,895,246,906,907,201,723,217,768,239,432,187,853,416,274,170,932,959,415,
260,871,663,946,429,364,470,721,943,534,554,200,452,500,453,921,083,634,922,
939,524,997,214,496,905,961,078,211,224,828,414,072,928,342,355,887,221,305,
425,207,459,426,614,793,664,146,649,366,355,745,135,926,579,178,536,982,187,
043,932,364,595,128,516,328,555,476,675,762,231,022,193,387,576,043,006,205,
293,623,967,986,917,849,650,917,778,695,922,289,637,231,739,019,702,444,913,
508,396,056,140,364,233,236,236,944,757,775,259,280,443,386,881,604,461,786,
790,375,666,401,364,787,901,276,128,082,549,858,056,771,894,091,806,047,783,
111,452,449,237,834,107,499,100,274,690,748,319,812,852,109,580,715,703,837,
139,787,164,033,178,315,789,412,752,012,698,046,222,225,616,530,625,676,035,
518,761,527,040,607,454,232,403,511,548,188,994,668,360,136,201,017,929,856,
004,772,007,830,110,374,100,046,513,142,185,508,245,325,013,393,817,488,574,
434,767,144,993,326,071,591,362,728,552,211,152,233,885,073,222,369,216,786,
860,805,650,762,449,875,125,945,502,280,365,134,202,855,703,637,484,018,135,
913,294,989,596,678,435,052,343,237,872,198,495,016,553,407,084,691,521,927,
456,216,241,164,378,425,146,439,979,060,659,006,712,999,898,833,943,688,406,
346,209,337,730,220,603,198,002,481,605,141,695,339,170,019,552,923,221,067,
938,392,803,011,972,926,304,573,446,647,541,495,740,242,741,223,731,996,381,
645,991,887,532,585,104,468,174,172,561,544,443,776,639,559,580,112,101,195,
071,701,674,711,145,097,489,316,983,285,102,018,017,054,532,563,174,291,095,
791,299,375,409,870,606,651,085,353,690,116,024,499,146,157,297,632,778,754,
426,770,722,488,638,285,820,728,818,965,147,945,475,360,401,728,985,171,456,
569,222,369,580,995,571,284,673,782,073,053,265,213,097,498,167,063,411,949,
580,987,856,644,824,176,363,443,226,427,365,386,458,885,200,235,110,514,175,
648,183,659,362,964,134,113,440,940,878,935,249,046,072,551,330,356,344,411,
971,109,005,572,514,825,955,967,214,890,609,745,189,995,053,495,734,862,512,
935,692,728,680,942,569,057,864,812,014,498,592,191,155,287,139,755,255,809,
857,415,238,667,631,773,834,853,355,173,466,125,538,907,970,171,191,496,335,
153,760,334,241,221,680,692,662,606,624,503,545,640,849,705,090,513,320,969,
014,138,284,835,234,740,370,286,306,181,839,367,405,661,482,270,591,458,046,
246,771,081,143,086,686,264,299,643,756,614,187,266,113,367,970,012,822,652,
342,715,718,376,139,539,871,265,203,490,591,671,364,559,427,386,912,374,627,
540,889,073,907,621,494,193,656,149,629,705,497,392,646,037,138,786,631,901,
742,331,167,692,361,179,946,450,431,142,297,170,171,022,038,978,284,541,442,
010,689,509,635,304,790,000,418,528,496,471,569,186,658,355,276,774,694,683,
197,811,874,567,295,627,141,630,961,084,027,430,176,516,487,607,797,598,945,
874,689,284,473,984,051,842,457,993,661,772,017,911,162,625,938,841,963,686,
819,461,722,865,329,187,287,446,296,410,102,181,865,198,898,548,508,012,267,
858,606,404,421,658,625,261,415,771,424,916,746,826,646,728,035,632,082,025,
974,714,695,053,005,305,310,548,610,683,207,175,512,416,172,549,279,323,887,
292,003,845,520,554,470,162,453,262,580,937,885,066,879,171,924,014,066,321,
942,722,533,758,787,477,568,530,368,225,270,293,156,145,767,217,486,917,554,
660,111,681,705,328,414,425,192,029,112,381,877,735,471,821,711,739,306,247,
415,133,447,679,659,833,152,769,713,189,671,699,951,480,792,883,549,170,891,
868,518,820,460,821,144,123,834,896,360,586,784,137,364,198,850,564,337,450,
046,483,143,080,130,256,737,494,959,920,184,495,548,974,307,923,942,269,046,
152,810,369,123,073,251,580,707,784,515,915,507,474,429,126,856,389,150,246,
711,064,480,657,174,147,099,522,744,774,092,656,827,768,876,045,276,774,014,
238,429,611,996,569,914,349,062,111,846,797,796,123,566,144,581,419,202,711,
743,379,814,677,931,932,502,047,002,799,765,031,195,806,801,071,374,815,546,
886,717,533,462,526,489,408,074,647,041,663,028,338,858,378,750,893,025,967,
001,052,025,814,412,386,620,089,193,082,805,211,104,414,497,981,779,971,295,
930,393,609,723,967,615,360,153,337,264,126,086,496,941,919,314,361,704,066,
285,741,112,673,482,161,266,542,190,562,147,419,251,261,156,790,856,269,221,
397,676,711,535,636,679,468,969,139,455,776,436,450,372,564,228,680,120,596,
496,792,088,849,018,260,940,069,906,585,376,503,202,518,776,343,856,654,730,
269,887,415,036,564,357,396,592,984,925,287,211,954,600,122,190,177,897,813,
374,148,178,058,794,993,363,393,654,961,597,489,385,484,533,897,462,176,263,
265,623,712,154,841,339,793,908,764,955,746,760,963,156,570,716,002,590,136,
573,040,801,928,330,674,781,238,351,548,522,159,897,413,492,844,594,252,478,
173,598,650,777,824,049,397,791,759,753,881,605,211,828,897,392,337,764,163,
649,938,009,118,630,964,975,009,246,216,564,592,519,299,584,505,327,026,968,
368,562,638,488,545,826,901,054,944,226,092,321,215,839,299,439,261,359,893,
361,573,377,328,958,879,590,229,100,339,639,404,242,911,225,524,413,068,122,
521,280,031,737,080,775,259,448,637,430,992,678,962,512,116,651,864,511,715,
146,221,317,818,098,978,021,123,192,519,065,903,678,422,297,344,438,642,788,
688,868,920,745,094,877,450,365,202,954,222,297,577,166,467,046,975,254,209,
689,521,939,124,387,177,266,724,087,716,540,240,389,680,409,962,280,840,018,
304,788,076,881,160,738,310,630,144,797,701,583,849,595,822,654,275,594,846,
955,158,369,139,304,788,043,287,082,262,174,135,029,118,128,287,922,240,217,
161,847,693,451,848,239,826,631,433,227,058,577,040,652,173,589,396,200,973,
206,846,193,017,601,661,506,125,010,976,089,339,264,356,516,791,556,560,794,
381,706,984,691,219,945,086,571,842,106,060,225,333,350,978,389,707,083,782,
945,938,076,141,539,008,544,534,802,674,366,119,664,872,127,626,543,704,464,
705,041,733,222,465,951,683,062,863,378,838,676,944,802,341,377,147,747,442,
129,218,248,378,789,134,353,555,485,527,921,621,406,881,797,641,243,353,923,
653,935,693,997,586,411,897,589,765,957,013,903,582,464,442,284,165,574,682,
637,819,395,233,922,603,208,712,830,298,044,695,991,627,148,830,303,223,284,
516,610,800,195,525,442,380,228,880,974,821,853,529,055,747,573,296,866,878,
009,987,660,382,231,389,250,411,760,012,876,250,795,840,120,201,636,234,155,
987,402,887,444,843,892,469,830,647,640,832,517,585,775,804,091,891,568,735,
166,250,738,981,404,428,380,568,902,968,983,377,256,278,856,115,406,855,470,
048,299,272,611,177,146,780,467,413,845,369,159,774,186,271,984,156,654,652,
641,937,018,404,605,649,180,210,302,811,587,193,966,191,521,367,429,067,628,
759,490,704,846,019,362,326,868,124,823,791,083,520,453,164,699,305,177,088,
748,555,736,227,472,137,987,166,237,885,006,283,390,009,286,631,276,161,075,
954,081,246,975,610,149,536,333,995,079,472,848,951,236,448,103,068,286,060,
179,400,135,402,878,473,570,403,426,936,981,359,485,193,630,937,495,842,490,
470,514,414,884,908,656,302,523,801,503,213,321,187,482,034,237,433,040,040,
494,541,161,405,479,024,062,820,309,917,298,148,732,229,330,698,490,803,564,
413,145,936,101,076,823,938,012,374,574,314,421,066,326,633,128,163,937,003,
446,364,081,033,393,656,351,915,335,439,692,644,894,486,741,149,857,312,626,
068,539,273,028,092,229,776,567,889,452,195,912,258,503,279,491,856,439,685,
753,558,342,989,801,649,926,934,451,898,002,854,501,597,450,881,016,346,463,
358,766,642,318,803,886,061,453,226,085,593,453,028,152,204,417,506,650,204,
342,623,867,257,266,419,273,772,138,751,832,508,436,278,922,802,369,935,325,
596,221,658,264,156,903,034,225,776,897,518,724,971,374,985,438,385,417,167,
813,785,360,262,321,250,624,011,834,903,764,825,282,056,333,710,210,583,641,
390,813,564,168,609,956,179,410,210,377,961,793,502,765,031,586,589,106,908,
498,324,431,880,133,580,796,600,409,224,173,962,309,711,222,110,975,241,381,
977,288,303,420,166,911,549,540,370,247,396,051,972,814,464,909,198,142,764,
001,538,967,913,674,330,081,956,107,159,988,942,447,896,981,161,241,421,945,
447,005,650,739,280,750,320,730,682,740,555,422,336,358,211,858,829,560,234,
116,603,236,509,335,784,402,395,831,734,301,016,987,153,409,865,059,345,269,
594,888,537,972,036,163,595,436,444,718,419,280,136,090,965,289,244,039,498,
497,283,453,000,100,946,990,453,087,028,696,215,941,559,432,668,907,721,881,
560,164,886,227,963,688,408,295,306,725,511,858,910,003,654,999,322,648,498,
045,843,962,359,698,242,361,867,886,847,721,849,495,583,660,661,860,850,755,
145,179,812,334,806,057,084,583,064,125,090,076,051,934,189,911,110,755,459,
699,363,796,314,492,496,881,732,937,722,609,544,213,092,683,201,266,845,033,
327,672,074,888,110,700,937,920,864,921,168,931,184,278,086,402,683,254,740,
650,450,700,953,063,763,992,907,414,599,653,264,361,061,437,637,571,563,908,
813,491,504,228,123,768,288,733,359,718,662,293,284,313,065,301,275,845,334,
304,625,535,369,681,124,814,807,372,404,212,363,822,177,509,601,333,781,297,
492,036,759,101,303,744,137,239,532,548,337,034,105,404,978,902,559,812,104,
526,645,939,152,656,361,612,067,065,242,850,334,439,678,250,594,653,493,311,
586,789,804,804,087,765,234,708,026,319,670,058,408,230,597,635,247,042,208,
339,374,989,427,262,221,081,524,656,391,443,814,689,100,615,652,535,754,761,
692,395,021,433,354,184,899,515,852,937,573,519,793,148,021,434,932,104,123,
817,363,583,747,872,760,990,381,854,521,944,077,569,785,051,712,753,978,261,
873,585,482,939,121,100,086,904,427,394,379,392,293,013,355,094,193,067,171,
961,723,491,521,536,898,650,678,291,816,030,031,928,806,962,636,097,427,327,
538,653,009,864,939,483,296,417,652,228,798,360,508,923,883,880,848,234,783,
320,529,024,641,013,912,516,022,135,974,700,065,624,922,280,348,613,372,744,
330,753,451,091,577,584,073,952,916,506,985,322,294,254,688,037,169,494,071,
167,324,307,776,636,909,445,636,474,048,934,356,846,621,838,390,798,631,766,
301,452,516,433,516,821,360,299,234,609,965,790,755,536,944,755,707,320,143,
472,463,624,819,760,250,145,520,671,250,633,137,881,376,162,678,162,409,222,
483,696,295,816,280,900,739,684,416,083,796,940,519,392,391,382,852,398,119,
195,253,063,577,693,749,986,069,498,453,316,764,275,524,671,772,639,098,595,
487,674,643,102,759,370,697,961,666,182,368,862,227,824,977,466,217,568,587,
849,849,103,331,712,461,362,254,923,670,526,640,573,601,289,326,146,625,169,
604,798,539,311,895,640,111,117,410,544,708,073,282,211,029,002,173,647,347,
631,895,350,804,535,487,119,451,249,706,529,292,219,146,065,433,622,902,945,
453,951,026,443,129,141,714,148,030,780,537,892,491,242,451,611,195,161,936,
063,703,383,676,422,100,971,613,468,673,644,449,596,609,454,996,331,766,776,
672,508,354,844,112,194,881,063,295,863,047,243,538,413,563,254,154,790,110,
152,719,624,927,340,334,132,452,474,059,750,812,677,115,121,056,009,781,597,
544,085,838,574,401,783,600,659,522,127,048,391,920,881,461,251,689,984,464,
343,630,241,440,184,135,221,204,886,637,688,089,817,080,295,754,571,667,030,
785,839,940,754,623,397,954,987,424,750,677,832,843,132,980,708,604,474,888,
629,238,929,920,110,642,046,331,322,183,771,257,291,784,043,699,077,562,701,
206,871,165,461,570,872,525,749,965,317,019,504,863,872,219,026,960,638,966,
957,292,855,181,589,081,863,003,334,685,246,229,498,198,974,776,833,915,826,
150,231,526,873,437,802,478,061,124,581,944,297,265,602,066,025,293,197,233,
193,046,675,736,422,158,067,825,865,322,897,719,910,174,393,916,312,598,993,
959,940,436,954,268,848,475,545,343,668,033,484,260,249,081,205,699,432,520,
794,093,368,891,714,381,047,333,198,078,978,766,633,216,316,680,976,583,432,
703,099,954,746,426,837,921,712,039,603,860,014,928,422,439,543,472,678,991,
657,694,307,508,080,756,625,718,688,323,029,776,075,565,626,871,550,495,188,
391,840,960,026,510,666,737,237,411,300,463,675,941,264,264,786,927,974,388,
778,514,290,018,017,366,393,830,331,624,983,881,921,475,088,711,524,144,194,
428,173,733,275,794,301,903,794,152,963,703,719,982,390,598,258,747,346,968,
186,536,214,240,020,437,270,262,977,520,728,416,304,613,651,661,717,759,557,
311,950,974,885,936,281,213,667,013,409,937,219,956,099,967,133,997,002,252,
155,870,620,446,020,801,392,403,317,704,283,694,738,625,461,353,229,862,473,
536,317,972,846,705,958,951,893,251,441,806,923,918,105,743,313,782,370,513,
859,230,098,088,737,764,651,329,661,944,576,890,520,628,555,968,023,727,645,
782,725,021,632,755,021,000,610,784,059,846,240,766,003,927,777,376,649,953,
785,390,780,793,675,377,219,376,736,770,887,814,594,043,507,331,101,856,755,
402,846,072,114,440,506,545,622,789,435,405,742,913,810,193,087,272,852,117,
506,367,179,090,824,770,482,188,082,218,061,225,904,400,731,461,746,366,807,
616,282,502,518,584,067,325,864,494,107,990,597,336,405,055,591,084,083,856,
714,956,120,663,778,189,017,440,900,391,069,890,895,217,706,407,577,865,209,
786,971,184,675,167,995,161,889,666,797,492,634,952,768,993,332,542,358,905,
798,340,377,281,935,905,626,694,605,247,175,250,008,982,340,458,041,658,468,
097,995,367,104,696,897,439,491,592,788,358,751,910,151,194,320,635,809,801,
451,430,540,533,941,216,213,682,271,081,443,053,545,087,269,634,702,106,116,
884,113,907,901,724,451,836,137,343,668,071,624,084,230,958,747,979,107,314,
266,525,087,469,010,037,468,009,921,367,041,016,221,529,183,672,229,238,796,
457,043,640,532,601,345,515,140,479,152,506,647,869,569,920,018,273,195,503,
569,422,790,178,053,918,288,037,315,961,077,166,938,649,472,310,392,724,399,
624,658,281,640,560,658,580,331,293,185,125,306,334,291,317,123,991,841,739,
007,960,392,491,190,862,684,340,216,154,085,857,073,052,115,121,781,389,570,
336,398,960,504,356,538,890,090,170,562,438,131,486,289,924,361,580,200,045,
742,403,866,227,963,717,901,866,544,892,282,750,103,092,477,029,537,470,670,
505,878,064,029,216,805,592,945,775,077,189,155,898,348,795,079,328,133,817,
884,940,837,779,342,821,183,070,199,797,807,807,662,836,446,255,905,264,280,
287,739,147,981,441,740,365,136,220,644,446,128,335,358,777,380,668,549,392,
851,110,958,784,928,959,809,159,055,134,227,857,544,414,925,650,129,274,438,
553,695,905,833,292,226,233,355,861,061,522,413,033,998,346,037,869,004,513,
067,513,397,284,978,343,777,561,897,683,300,933,399,108,047,328,373,540,869,
944,991,665,546,579,560,488,556,278,839,021,599,438,188,331,017,046,819,796,
099,807,096,205,646,400,509,981,077,770,424,222,883,117,818,485,038,606,432,
392,228,973,957,778,937,328,600,631,685,983,634,113,609,285,531,062,069,161,
944,714,113,252,698,286,036,546,885,191,883,392,993,539,831,455,186,067,173,
025,705,603,026,794,756,102,098,401,203,370,682,312,167,563,089,222,006,235,
656,823,087,810,451,913,008,892,396,043,151,036,808,350,100,039,992,504,733,
998,527,887,603,229,879,125,113,788,823,178,053,207,752,875,517,156,390,182,
640,241,533,858,173,870,096,816,425,156,724,427,877,025,006,926,720,991,844,
500,548,343,597,870,047,136,194,638,922,327,486,435,715,270,537,493,146,745,
904,332,115,027,733,561,979,668,847,144,912,832,889,418,198,519,429,868,541,
158,728,781,445,125,080,859,204,981,009,952,983,238,228,525,424,016,484,377,
168,762,530,102,125,983,703,847,058,286,598,115,621,166,853,333,170,617,258,
103,250,688,750,906,738,697,894,863,038,128,118,656,111,683,876,456,395,838,
126,620,544,777,180,406,916,527,638,966,325,565,753,940,674,202,461,498,309,
094,195,307,896,925,187,168,565,159,434,992,456,705,052,899,348,268,724,908,
923,041,511,068,989,904,453,035,430,804,133,202,733,743,460,288,815,024,214,
414,474,266,360,183,259,309,669,022,549,342,341,797,949,091,859,595,178,228,
992,059,072,087,463,033,740,786,956,691,212,758,201,555,896,018,357,015,059,
076,144,307,713,418,188,728,451,086,346,870,412,709,736,926,610,787,634,578,
806,777,155,541,242,320,722,497,582,329,104,238,481,791,889,803,100,385,681,
168,043,131,783,944,168,607,797,034,072,608,538,758,655,817,475,609,763,995,
802,272,380,339,034,643,935,523,280,284,540,010,275,361,913,475,445,439,506,
828,652,913,811,347,987,429,147,101,129,699,315,313,684,745,220,533,358,333,
336,104,500,811,534,510,570,879,871,194,034,328,273,495,643,808,741,699,604,
428,144,569,176,196,894,757,350,327,419,322,231,214,251,259,052,828,110,569,
396,068,300,775,137,651,456,557,357,649,285,124,143,118,137,071,699,596,598,
811,343,607,170,693,827,335,260,935,409,784,322,224,576,212,639,010,868,304,
313,791,863,919,274,318,999,131,657,649,360,329,492,591,305,212,881,336,270,
798,361,887,952,827,241,691,404,422,869,827,243,773,289,186,516,179,302,186,
370,363,262,297,075,820,890,212,709,172,850,810,409,165,609,831,813,298,664,
644,330,934,708,705,454,093,643,706,971,429,373,664,399,008,636,307,495,102,
135,485,430,689,090,262,627,899,684,549,848,888,607,380,487,598,752,549,522,
510,224,044,923,703,738,975,813,523,620,747,879,288,408,868,831,677,654,025,
316,542,326,817,436,260,953,594,577,728,720,458,966,044,465,455,141,353,338,
077,949,499,033,987,902,944,425,645,781,287,083,342,706,136,956,111,096,417,
012,925,203,314,771,103,036,496,973,139,519,051,709,339,379,994,375,328,284,
063,378,615,685,688,640,216,837,477,368,077,977,582,650,496,073,713,433,766,
363,013,787,033,952,425,562,501,658,033,113,922,110,754,193,349,755,385,337,
680,250,115,675,825,593,767,433,895,551,955,906,988,574,074,947,295,871,215,
923,553,801,966,061,383,309,550,936,978,541,748,943,263,322,206,117,252,761,
536,551,875,771,188,145,545,016,989,120,763,280,350,402,727,576,076,072,234,
730,724,191,679,291,864,381,887,331,323,523,734,784,278,242,598,026,401,958,
875,182,578,924,049,293,005,200,083,844,474,073,369,539,890,130,541,594,145,
277,907,127,163,215,844,612,795,133,554,805,236,824,171,893,761,502,671,045,
944,010,204,082,135,727,543,761,652,645,764,572,393,692,521,766,266,004,757,
852,243,251,341,248,418,034,373,892,320,719,979,861,383,142,446,992,324,604,
040,310,454,555,658,354,831,519,609,209,462,906,134,589,963,997,176,051,980,
445,359,765,853,893,908,094,065,068,366,511,487,501,633,766,175,323,029,961,
643,437,272,817,998,019,369,184,593,732,870,541,309,776,459,142,641,386,524,
770,386,257,874,683,992,480,432,378,775,681,488,388,862,113,270,725,733,927,
864,360,838,810,824,727,298,203,942,801,467,374,731,923,904,889,322,508,457,
185,780,989,225,753,177,859,431,516,896,847,458,570,123,587,522,456,455,017,
059,896,793,989,870,727,308,734,566,127,939,641,379,971,778,838,543,690,546,
293,407,394,693,932,503,723,395,227,723,603,303,066,446,453,438,527,381,975,
297,445,206,370,205,709,213,526,088,379,836,574,812,664,965,508,464,198,328,
040,103,616,883,222,538,426,940,659,063,967,188,654,683,820,471,351,211,539,
793,764,058,127,987,326,843,263,985,937,226,340,384,173,636,561,330,519,540,
415,508,322,590,919,238,565,517,977,927,723,872,703,074,678,426,863,704,086,
237,042,424,280,576,115,773,157,000,594,344,605,099,577,656,205,661,609,764,
589,235,462,907,675,989,345,271,114,302,101,545,217,294,722,455,013,157,866,
539,829,309,328,696,737,515,016,361,379,005,913,428,855,169,414,701,112,772,
699,661,572,588,234,375,033,919,536,550,330,026,868,824,490,963,724,468,862,
896,425,227,109,815,479,724,760,925,072,663,220,099,874,229,925,074,829,827,
018,481,809,990,689,202,455,015,577,714,252,332,322,243,795,576,224,495,565,
264,503,480,994,614,668,474,582,700,600,081,709,432,103,697,613,097,118,136,
732,156,146,690,483,725,681,291,828,479,838,548,829,580,642,342,012,401,772,
961,377,469,189,564,647,802,448,352,455,992,049,865,692,630,507,510,986,282,
550,658,527,553,183,604,479,901,754,818,726,084,573,366,759,584,204,879,256,
639,050,259,333,231,160,847,347,478,515,208,891,574,103,539,943,487,122,441,
131,273,723,303,385,330,548,052,880,669,439,705,071,219,026,748,908,679,640,
845,882,529,131,192,978,468,836,428,582,855,125,869,967,147,634,483,665,609,
785,004,239,175,133,865,318,998,311,987,924,167,914,890,053,045,446,264,704,
858,671,572,270,755,222,590,695,341,670,165,320,307,239,690,828,471,769,718,
609,757,913,815,394,850,909,255,951,645,998,173,371,826,623,319,781,113,759,
302,560,480,431,235,826,998,059,440,215,451,893,880,904,856,560,658,279,669,
286,148,285,280,560,770,596,320,411,862,396,870,950,999,331,839,884,148,742,
409,693,846,337,373,832,304,968,333,593,538,312,506,582,888,801,393,554,955,
872,759,818,214,614,120,922,862,150,664,773,962,043,091,161,612,780,326,085,
748,490,142,267,219,663,099,415,501,000,959,884,448,832,675,841,251,537,108,
595,325,814,790,241,742,296,179,776,136,969,482,517,187,835,237,541,871,867,
541,759,712,651,528,533,103,412,247,006,143,733,500,860,376,134,255,147,548,
278,139,990,248,885,017,315,429,030,820,755,089,186,227,052,180,594,124,421,
070,863,741,801,623,850,625,897,241,474,648,668,134,214,430,072,380,194,437,
646,758,187,348,281,587,393,796,277,665,112,070,091,285,437,859,896,188,213,
290,485,985,043,925,966,084,543,853,661,878,014,875,224,568,748,080,309,256,
931,698,573,478,834,793,225,328,577,771,411,088,739,785,940,071,735,893,298,
438,334,655,163,989,174,838,967,679,520,593,169,517,219,500,080,652,541,275,
769,128,322,527,101,939,102,396,824,527,536,237,610,169,468,788,799,179,343,
768,092,967,344,406,636,885,845,553,163,854,122,778,497,072,568,745,378,506,
866,930,597,053,582,473,041,648,857,144,434,148,841,807,037,948,907,774,599,
512,244,613,698,282,097,699,120,804,673,965,065,537,397,164,806,772,341,465,
480,847,732,459,247,245,953,275,208,603,743,990,101,940,645,129,384,245,820,
956,470,193,383,011,101,179,570,772,394,247,781,453,536,272,949,688,343,371,
717,840,790,727,643,786,977,877,957,463,142,004,513,164,464,750,474,852,802,
803,145,633,138,298,948,860,005,708,564,937,248,689,397,259,929,763,014,072,
080,063,995,528,783,601,874,471,548,046,958,352,292,478,370,028,356,609,415,
430,817,298,427,152,216,324,713,837,474,422,402,126,503,948,422,368,674,358,
958,038,657,274,122,329,632,904,957,546,934,574,376,664,478,103,337,685,131,
136,994,674,215,779,665,196,256,195,466,673,109,257,245,853,274,434,830,200,
286,255,964,598,738,142,465,105,323,889,450,746,075,831,964,975,100,673,685,
735,153,934,033,244,933,792,593,377,206,387,980,218,279,211,023,767,324,901,
138,444,445,493,190,854,200,103,482,819,424,091,436,714,864,037,996,285,800,
206,787,930,294,726,329,011,066,810,480,273,865,455,970,191,373,061,237,396,
357,328,956,483,521,573,561,750,430,006,224,061,910,785,288,474,230,690,468,
158,772,966,790,341,174,620,318,492,167,863,928,496,652,069,729,596,638,727,
969,712,764,694,790,100,078,045,798,434,344,527,118,893,928,367,309,192,302,
929,971,225,687,233,864,946,650,196,835,838,722,603,264,220,114,550,496,843,
693,393,603,907,887,644,706,778,217,006,569,368,855,863,123,398,479,259,351,
406,931,984,446,662,749,596,503,217,061,530,316,961,196,737,050,492,344,039,
641,767,699,501,077,514,831,732,168,234,618,410,602,331,868,942,114,132,447,
171,675,932,257,503,609,309,620,402,154,607,320,974,337,057,249,580,591,946,
065,374,403,639,978,275,889,970,222,913,484,256,073,791,004,310,623,379,658,
975,879,652,578,099,187,892,034,093,432,680,996,014,963,167,184,309,886,943,
789,540,901,907,631,991,472,054,816,032,044,887,848,328,591,355,468,618,072,
533,175,300,464,601,756,029,948,381,899,037,951,303,366,892,566,294,725,452,
932,595,708,628,509,212,987,645,998,187,429,850,592,312,269,372,692,468,985,
957,578,045,204,540,369,733,774,859,231,177,697,335,891,099,654,927,628,500,
415,533,802,162,830,641,686,317,160,458,129,424,069,150,735,949,687,366,975,
962,143,497,920,861,544,135,354,958,163,665,063,331,606,809,520,122,729,661,
867,971,916,532,462,491,194,891,661,371,968,369,350,466,873,653,524,849,914,
472,482,204,432,883,863,734,280,529,941,932,081,408,214,984,455,383,569,062,
101,839,218,297,492,329,241,387,499,864,157,333,841,105,252,445,074,189,566,
937,665,384,165,910,292,325,316,053,102,238,655,612,209,280,941,275,882,300,
670,449,932,913,343,505,642,628,255,502,441,805,663,445,282,773,139,495,584,
256,884,921,246,013,760,315,159,624,607,922,097,196,460,972,422,979,496,073,
121,965,506,362,178,687,540,424,509,472,882,054,186,312,043,745,323,893,937,
617,195,949,393,325,387,020,198,266,198,261,068,268,934,802,743,535,079,197,
075,138,466,882,828,311,716,150,024,835,254,951,211,201,729,140,096,726,869,
084,459,954,069,194,200,529,222,241,035,584,146,094,929,599,366,137,228,101,
476,382,511,118,181,123,417,959,067,560,039,043,205,268,021,213,500,933,882,
706,909,458,034,028,533,805,245,187,538,781,991,307,077,475,696,814,304,577,
721,158,700,288,757,593,466,551,938,993,954,704,758,873,617,250,289,243,163,
437,103,781,559,022,709,498,156,608,616,140,070,879,177,665,605,721,692,699,
956,358,870,832,512,527,684,541,417,233,159,166,103,649,012,507,658,214,202,
400,150,415,118,229,425,336,608,949,060,368,607,409,264,699,650,667,700,376,
805,788,046,241,228,129,046,660,494,992,870,642,170,416,690,585,162,608,382,
323,895,286,956,880,902,347,321,532,385,153,708,810,812,239,939,729,963,014,
282,266,655,225,658,436,069,561,563,637,448,132,550,497,385,544,421,221,359,
158,752,819,442,804,173,712,062,531,973,455,961,861,297,804,233,385,702,538,
168,794,135,730,694,149,410,763,064,670,686,515,234,232,633,143,138,278,232,
422,196,177,117,236,123,262,643,230,953,669,540,946,568,941,785,247,118,967,
401,470,375,147,601,139,712,506,507,885,153,565,892,105,497,150,123,262,038,
279,626,197,652,184,122,055,813,082,873,087,262,765,078,487,792,747,153,497,
610,193,827,267,451,120,803,257,181,164,149,966,853,574,374,482,053,103,500,
409,612,810,960,096,656,521,238,960,017,612,873,046,449,994,363,094,615,842,
743,533,023,174,435,939,515,551,714,669,088,472,950,863,714,060,455,230,346,
376,353,858,147,353,762,842,635,835,627,418,509,869,594,523,913,502,410,140,
052,283,168,918,993,662,917,497,888,060,035,045,316,004,589,630,277,183,232,
560,437,840,899,244,746,615,399,738,160,344,454,815,054,101,578,934,569,372,
210,624,528,496,498,091,679,376,448,200,544,046,443,262,903,562,558,805,156,
707,380,897,578,066,151,798,255,789,872,552,436,180,049,098,902,738,017,304,
817,101,161,441,149,994,768,144,240,810,046,376,075,105,832,567,573,944,557,
830,519,867,512,596,276,008,708,387,361,340,294,084,719,431,083,777,758,887,
344,460,356,555,477,986,877,625,508,471,854,883,366,511,158,177,814,423,660,
248,089,594,402,837,042,361,941,382,418,246,215,559,210,744,095,219,781,203,
092,899,807,622,936,534,299,548,083,885,016,010,545,194,383,548,216,925,913,
855,506,654,839,966,105,011,018,986,137,267,194,406,310,891,346,066,735,138,
109,289,118,373,122,955,169,261,521,581,379,758,757,220,713,490,471,263,039,
964,321,098,754,751,021,524,233,159,795,863,169,073,425,353,619,846,198,557,
438,556,189,362,235,893,194,785,252,141,583,000,218,614,569,162,643,223,793,
892,504,548,501,850,248,559,336,028,906,768,684,003,359,927,555,880,621,189,
928,220,344,578,941,267,734,342,452,001,194,536,432,052,859,785,965,879,322,
598,678,656,804,091,217,647,324,071,095,288,191,256,441,955,529,911,412,730,
091,810,632,184,982,750,601,948,239,574,514,450,973,119,782,702,400,103,900,
711,523,917,189,253,824,764,037,088,961,021,140,758,032,935,671,301,895,830,
866,262,961,561,792,492,942,591,238,737,618,202,396,465,309,957,254,545,497,
501,404,293,307,180,789,413,672,317,911,145,402,758,111,231,533,308,979,420,
052,096,068,776,156,185,031,571,041,898,165,075,187,274,326,139,452,541,615,
536,618,910,195,309,202,669,348,341,286,969,135,830,485,535,302,213,481,681,
376,744,469,339,705,003,181,110,662,319,298,632,823,903,631,615,413,266,217,
885,739,853,960,289,069,531,461,988,610,484,523,446,353,391,170,613,672,827,
095,712,367,917,255,573,439,510,687,004,032,491,505,066,524,604,551,298,415,
427,420,933,193,301,738,674,110,409,519,427,882,034,088,336,300,452,141,047,
913,453,699,075,730,777,285,692,683,755,644,137,352,377,676,968,331,752,652,
363,561,562,570,997,199,136,980,132,587,454,260,378,874,398,665,039,374,046,
314,151,487,457,594,216,491,182,418,216,023,846,399,007,249,872,777,332,204,
609,739,544,792,955,085,554,049,768,004,386,136,631,518,295,569,567,598,217,
057,635,533,517,951,527,308,568,930,793,369,433,047,785,047,435,229,554,873,
881,652,258,330,290,557,515,290,696,415,896,627,119,246,503,220,171,203,857,
752,618,000,558,883,993,986,085,444,216,267,827,092,672,282,801,094,394,744,
366,551,114,812,472,918,701,435,241,056,949,632,975,567,726,758,275,199,411,
425,804,828,280,465,164,283,474,111,738,151,515,150,920,091,599,682,501,274,
536,252,228,387,657,419,605,832,888,163,368,301,988,139,311,698,271,346,283,
825,931,834,002,463,535,804,929,553,587,599,906,138,408,176,834,876,051,346,
262,245,450,915,687,916,096,827,581,799,194,123,661,995,739,030,098,001,535,
532,055,796,917,720,166,956,573,280,099,074,347,561,361,499,388,726,588,488,
081,564,581,893,783,312,694,918,686,617,989,596,811,748,863,670,269,677,382,
919,941,751,619,035,589,774,852,451,719,251,805,866,003,413,232,711,129,694,
098,651,873,332,138,257,578,189,532,211,446,867,924,615,006,169,756,861,365,
388,959,298,281,792,991,227,992,539,228,221,055,694,279,426,803,437,320,150,
746,418,388,172,331,583,266,790,829,112,737,718,701,681,248,055,094,352,733,
743,164,746,348,271,513,497,195,074,238,732,656,788,179,003,005,163,621,041,
100,079,864,656,509,306,857,343,367,254,618,780,457,727,954,300,170,645,084,
587,286,014,849,141,224,966,873,819,958,946,101,322,260,453,372,206,790,877,
289,086,402,833,455,729,934,181,597,880,151,925,844,518,929,233,803,385,151,
299,017,901,395,471,948,416,779,938,087,434,919,244,965,292,388,071,621,997,
543,473,649,791,684,134,939,422,268,677,136,997,916,533,288,286,701,921,510,
105,073,242,507,413,409,514,368,833,435,250,095,849,733,504,554,835,872,929,
334,588,217,625,695,405,679,118,870,565,722,854,336,908,837,608,042,460,586,
265,997,363,891,879,613,213,835,460,316,633,399,824,482,219,793,124,311,433,
179,930,316,715,356,549,618,721,633,352,410,225,168,730,592,902,251,253,478,
626,698,032,381,520,371,679,128,437,658,713,872,959,875,892,432,917,919,652,
806,299,378,417,341,174,493,367,898,090,633,833,293,067,982,778,493,221,246,
951,931,451,770,187,653,817,833,600,246,529,756,649,607,822,173,811,052,784,
051,464,431,413,145,544,190,344,688,625,754,828,683,915,449,266,124,544,693,
029,693,428,965,306,532,787,738,651,672,758,254,093,044,383,009,781,544,979,
455,331,919,831,373,983,688,756,686,500,324,466,846,987,444,745,997,161,813,
240,191,794,716,034,728,006,510,479,454,218,252,722,594,173,479,793,382,570,
767,991,066,459,230,520,944,986,860,372,104,500,533,079,810,333,345,373,831,
117,827,742,891,069,022,274,427,042,031,593,737,121,095,327,350,204,263,101,
777,305,670,788,713,960,999,075,501,814,307,724,027,987,338,818,979,986,420,
861,107,631,134,181,777,575,036,029,295,653,330,820,371,326,277,941,450,587,
760,881,633,258,366,637,784,873,729,407,534,375,874,268,861,388,141,125,788,
709,407,142,427,583,448,838,454,614,618,374,747,024,276,032,023,612,181,023,
178,660,847,589,275,759,302,360,694,325,517,837,509,703,251,168,230,257,111,
651,564,524,788,236,460,987,951,776,355,579,535,929,312,849,231,667,427,145,
380,298,393,749,652,456,180,807,716,199,493,390,602,679,068,087,388,599,904,
290,181,871,991,506,929,452,080,781,803,494,064,364,428,111,844,867,639,716,
020,098,741,525,228,533,019,411,257,837,691,830,087,675,432,479,990,584,603,
810,187,111,667,846,427,258,992,459,952,709,184,251,887,989,793,431,786,132,
365,185,055,679,760,460,636,914,703,366,963,526,984,750,400,724,804,901,127,
656,458,696,553,410,463,570,119,559,606,947,650,301,090,230,233,519,260,740,
778,905,685,581,923,084,679,285,568,020,533,614,783,017,588,704,860,329,126,
593,003,963,847,692,596,505,238,112,452,032,154,882,887,494,587,879,766,281,
973,488,122,529,948,863,032,730,874,703,533,847,692,517,802,046,802,791,612,
285,574,231,942,379,389,789,128,398,972,920,738,073,244,429,906,451,022,246,
651,711,194,600,693,696,940,802,128,713,052,667,310,371,552,752,341,613,885,
719,274,196,431,018,050,044,930,020,434,159,616,411,513,673,704,044,450,956,
052,494,816,905,616,756,903,470,908,135,234,201,502,054,084,653,025,125,834,
887,638,444,956,179,882,120,776,378,083,690,214,012,788,580,701,804,489,369,
621,826,618,889,864,259,394,316,717,590,676,832,371,798,796,158,079,693,563,
740,078,055,111,482,993,291,702,775,437,638,880,513,011,349,070,375,993,584,
973,673,814,045,852,091,905,178,342,593,035,943,168,364,697,062,506,614,172,
688,410,107,876,511,920,113,389,653,620,556,606,434,732,123,081,134,200,412,
351,349,305,186,245,972,560,954,467,427,675,546,337,952,461,915,397,574,440,
786,904,627,542,711,183,693,214,786,577,834,278,628,220,308,783,206,810,180,
765,303,377,476,042,752,968,488,297,362,452,181,246,611,221,673,898,800,071,
278,758,685,310,444,672,962,532,671,942,068,879,442,340,550,895,542,140,092,
066,785,877,568,041,166,157,882,468,887,669,714,945,921,062,555,491,663,188,
169,930,479,273,563,586,726,446,023,764,291,175,494,737,201,866,201,696,379,
309,910,834,946,087,822,793,903,513,907,143,010,278,158,371,702,282,460,290,
363,095,557,986,338,743,953,391,160,242,712,779,515,037,068,556,995,137,733,
746,181,155,301,920,048,080,948,925,195,527,970,872,974,693,168,104,307,640,
791,903,302,015,366,409,238,112,527,955,778,411,919,061,333,228,878,816,494,
662,252,927,152,871,622,121,456,369,934,268,441,528,209,412,820,335,233,610,
077,895,817,530,927,765,886,907,850,734,638,131,921,315,692,310,548,819,998,
129,123,718,081,822,380,094,021,226,016,412,022,120,665,347,432,356,536,080,
907,851,431,789,203,329,943,308,065,305,033,273,610,657,139,294,419,621,965,
037,767,123,191,254,855,752,106,748,279,900,714,342,573,745,973,150,612,706,
151,053,391,334,999,625,187,453,197,589,340,063,373,517,752,324,900,785,123,
802,261,248,423,885,661,098,764,876,513,390,911,023,179,173,995,353,317,723,
838,799,927,537,678,890,907,797,202,824,046,165,309,621,339,523,861,173,897,
327,901,182,699,175,368,454,556,759,006,428,208,021,670,821,364,431,966,719,
759,712,545,512,327,658,059,126,205,696,045,962,877,421,830,021,874,735,030,
858,959,612,904,286,049,567,129,505,151,648,960,503,061,349,785,504,974,349,
609,068,817,899,013,172,675,186,434,417,253,204,192,604,338,600,719,531,482,
382,662,110,823,585,279,016,879,837,256,844,465,350,796,656,095,281,620,582,
840,863,822,075,044,503,511,913,397,396,087,872,119,355,987,012,535,089,528,
716,319,109,348,932,985,894,345,775,928,996,736,483,076,322,532,207,450,313,
573,595,312,625,941,909,009,838,381,287,779,660,033,799,898,893,612,393,241,
943,429,912,010,823,015,073,406,967,007,403,661,761,080,238,568,720,613,554,
043,933,010,046,773,060,164,558,507,168,492,078,513,823,237,337,047,581,908,
489,352,178,380,364,657,911,138,257,110,549,230,351,830,601,023,900,849,401,
836,975,571,699,229,268,692,868,935,033,494,280,930,273,802,335,580,557,690,
097,218,507,789,791,087,902,401,062,632,573,463,871,118,997,955,401,555,966,
837,985,625,065,046,873,744,370,931,315,694,053,116,306,805,406,883,740,885,
066,589,581,229,418,519,995,972,484,995,735,828,374,897,774,817,746,535,805,
906,807,374,621,202,112,183,825,215,954,049,370,018,214,362,520,666,685,323,
914,177,379,281,568,702,285,827,851,205,445,614,304,001,023,498,462,522,059,
225,506,823,166,065,818,803,725,391,276,166,244,113,028,843,572,200,239,234,
603,927,601,340,691,485,534,946,272,968,312,713,737,087,614,490,633,433,739,
393,251,591,131,963,942,332,188,992,399,027,748,312,586,991,038,295,217,629,
845,765,247,034,725,301,072,848,568,279,413,987,726,569,046,527,983,114,027,
893,204,160,935,117,061,537,506,586,415,902,797,042,211,867,440,545,959,961,
757,872,598,317,619,085,227,295,570,750,434,897,455,256,212,830,953,339,124,
947,133,263,457,584,565,075,209,562,088,953,116,801,058,016,603,390,108,093,
384,825,793,178,668,357,877,002,152,615,697,135,103,791,369,248,215,371,908,
862,845,735,506,552,392,248,492,572,616,498,654,668,897,705,591,395,366,951,
257,905,521,316,217,365,603,136,415,680,442,806,240,566,799,722,927,160,933,
567,692,511,572,849,833,744,577,547,578,323,546,030,286,659,559,521,905,676,
587,701,685,139,849,029,498,464,357,877,887,446,387,807,563,826,679,511,455,
907,874,126,943,109,770,186,930,582,368,124,392,500,930,815,984,153,157,998,
080,032,056,667,909,224,556,084,330,640,693,822,063,786,907,980,155,507,719,
473,889,881,751,302,981,605,480,650,088,110,536,842,317,783,055,591,661,985,
273,990,772,402,253,065,851,180,650,491,995,368,550,162,045,733,794,134,887,
731,654,465,536,174,994,521,923,323,586,971,213,706,334,129,306,666,190,084,
977,450,115,716,489,503,338,275,307,327,755,079,463,496,875,875,305,611,606,
535,234,690,352,207,578,992,563,548,176,496,043,687,929,235,284,900,704,627,
704,152,027,953,596,200,825,877,464,392,511,814,656,987,441,437,500,346,599,
438,440,405,907,796,419,694,765,894,898,157,448,957,838,796,297,657,700,473,
913,647,529,447,802,041,858,073,654,428,773,324,732,352,387,409,544,930,323,
227,763,740,316,009,039,488,799,469,951,584,505,922,667,881,552,490,980,196,
309,958,060,204,209,672,349,936,595,597,534,601,340,713,401,667,757,267,743,
419,489,071,322,951,433,993,988,806,299,218,780,143,240,433,866,495,327,604,
974,666,624,957,545,367,364,666,642,028,497,975,311,401,154,808,821,167,390,
816,022,357,936,304,567,913,626,263,628,384,399,613,099,872,013,178,035,212,
124,364,710,163,583,789,825,227,853,411,048,980,794,484,896,353,782,567,052,
463,511,981,452,538,275,627,241,567,120,459,050,365,969,286,376,385,695,570,
568,872,965,930,548,082,519,121,011,377,219,349,868,805,370,225,887,184,766,
317,833,779,230,043,787,226,396,072,926,013,566,895,735,478,666,674,851,714,
881,746,824,690,130,715,568,092,248,574,995,968,065,319,191,513,396,271,800,
969,053,821,067,220,154,150,860,730,496,098,467,034,237,020,066,069,960,701,
937,780,194,534,926,338,888,468,115,495,010,228,380,951,676,998,057,589,222,
644,707,231,848,942,015,124,319,694,737,737,754,376,324,836,427,089,071,237,
136,996,769,496,950,550,166,112,306,740,091,976,870,091,331,851,999,373,948,
150,631,307,186,576,729,565,287,136,498,920,736,722,337,704,940,335,552,628,
251,296,462,328,157,678,484,874,284,436,707,822,588,488,661,363,846,016,700,
393,382,097,057,324,503,243,367,284,039,775,035,109,311,910,538,859,233,488,
958,025,329,962,123,072,341,239,902,855,713,800,489,329,099,826,338,309,795,
598,247,396,349,027,470,892,988,487,583,462,533,185,278,897,982,207,036,711,
363,579,130,349,005,802,673,827,325,094,179,077,366,247,756,316,884,290,683,
071,895,479,473,002,563,486,332,629,031,239,779,019,129,847,075,766,797,136,
766,961,908,836,073,650,998,324,335,853,746,409,807,903,380,882,038,331,501,
884,771,174,383,791,321,468,405,224,713,081,145,015,710,336,681,368,214,947,
956,225,376,166,743,141,452,189,349,828,661,606,682,025,242,566,707,971,850,
784,936,093,328,375,913,316,448,839,834,156,883,573,680,236,986,640,437,993,
178,300,395,945,216,076,806,910,006,495,122,752,032,454,690,455,232,985,772,
744,776,832,954,152,230,875,546,571,583,366,205,253,557,998,130,138,724,905,
226,730,206,295,615,887,129,320,372,211,287,168,966,024,807,486,124,741,790,
877,319,010,130,011,488,378,452,894,143,216,892,349,933,228,041,288,650,505,
821,495,350,988,210,206,460,644,237,062,975,160,695,044,576,163,171,094,811,
744,771,181,415,964,974,979,191,165,883,205,491,475,481,005,798,473,766,301,
183,696,165,632,102,942,281,793,569,037,390,282,957,783,692,190,593,329,960,
706,068,953,634,904,519,337,504,158,149,065,437,133,862,373,628,752,649,153,
116,135,353,486,522,207,867,741,344,773,220,430,310,372,159,188,370,139,332,
423,593,993,630,382,835,935,041,093,978,210,114,267,552,542,684,495,024,859,
343,975,765,798,225,122,535,213,860,762,673,095,307,222,914,991,406,955,426,
138,015,437,660,142,251,027,339,054,430,657,032,715,239,823,231,814,760,054,
287,097,032,423,072,594,743,417,444,201,120,169,891,059,585,042,579,404,402,
134,652,808,931,623,399,047,954,405,581,046,251,619,398,799,348,397,273,181,
451,677,662,355,785,508,772,737,877,206,936,930,554,536,842,567,042,554,793,
897,151,205,967,982,805,532,000,982,084,440,095,855,148,901,786,802,963,307,
021,815,685,979,185,665,170,190,373,069,844,105,886,055,923,824,587,648,857,
082,478,401,072,708,573,780,140,149,923,951,599,051,230,024,139,443,868,788,
138,988,371,109,470,901,089,989,241,851,122,762,879,521,286,067,726,404,645,
737,617,085,250,443,840,481,458,156,994,647,287,417,716,139,831,704,463,610,
801,485,719,190,492,122,662,136,547,000,756,870,654,575,249,298,670,806,970,
716,001,392,771,635,225,564,271,349,469,563,025,969,458,579,873,678,579,186,
966,089,860,252,359,941,946,349,946,052,538,448,145,398,295,593,565,998,018,
790,182,957,695,222,105,498,190,195,094,206,389,859,283,667,680,248,911,692,
256,607,840,125,871,926,940,214,231,572,890,042,541,909,608,691,855,220,514,
690,056,636,512,340,803,294,500,223,035,302,937,948,511,124,656,251,233,979,
945,836,240,997,173,276,416,268,757,586,749,595,176,408,119,896,736,250,326,
806,242,565,755,394,741,884,114,458,303,430,278,444,931,516,755,122,812,541,
416,943,668,217,431,018,995,425,709,769,028,198,895,714,462,564,755,259,530,
535,966,519,665,813,221,211,509,585,912,167,173,177,478,560,285,195,331,966,
351,129,539,684,967,022,308,188,197,737,047,557,834,230,203,173,563,226,702,
758,167,100,908,411,814,933,886,340,309,322,116,159,281,159,534,663,665,033,
811,010,463,688,804,749,451,069,262,889,474,538,583,775,592,112,308,957,025,
309,927,989,269,921,460,171,193,187,982,127,833,741,021,161,991,967,610,970,
902,745,575,308,661,408,105,893,626,387,324,135,216,512,320,967,875,773,881,
478,382,530,182,809,370,463,384,876,808,102,827,894,744,204,393,398,468,959,
647,278,751,800,634,753,541,771,630,117,402,888,657,124,930,772,292,462,344,
875,794,962,540,214,498,778,715,738,673,255,177,736,320,807,319,665,176,742,
477,371,341,644,270,661,599,520,922,250,364,231,350,134,780,849,223,350,133,
038,344,169,154,685,394,983,905,969,149,673,324,919,014,138,119,272,913,896,
702,129,106,007,429,157,732,357,624,992,988,647,505,220,190,689,960,451,390,
242,523,275,883,907,053,269,648,471,403,721,258,981,791,347,349,852,737,005,
765,623,782,353,983,900,464,316,160,967,228,520,659,126,549,073,929,143,719,
562,151,198,036,558,555,973,040,766,880,215,660,980,561,350,362,989,262,458,
880,415,307,297,067,057,155,966,771,229,474,173,201,601,839,210,663,484,094,
899,915,467,606,531,834,005,088,444,041,876,206,031,041,843,730,596,721,190,
262,675,796,714,961,804,980,779,668,067,125,573,603,433,516,253,315,091,073,
111,482,878,475,471,773,341,762,586,292,995,028,554,410,580,235,592,293,486,
815,101,013,191,082,881,050,880,178,865,781,244,214,176,762,978,335,956,847,
870,424,890,023,424,625,267,900,029,683,196,327,076,007,780,764,697,540,444,
177,704,176,766,421,195,666,022,909,722,312,756,101,190,528,959,324,668,891,
695,981,813,073,286,804,174,291,839,127,984,797,805,305,223,930,034,995,673,
427,224,532,467,426,549,799,335,976,707,544,693,276,800,328,556,319,979,283,
912,474,236,009,482,551,205,520,456,549,398,268,307,738,346,780,274,682,706,
008,521,212,458,555,097,540,102,034,065,577,492,095,790,863,846,556,799,893,
094,674,734,164,369,390,123,540,126,610,328,503,890,648,801,728,638,522,272,
897,432,540,163,785,322,262,702,897,069,454,605,191,369,950,833,588,144,625,
884,134,142,455,249,955,415,689,086,882,137,481,804,627,143,774,891,895,089,
595,929,424,425,127,115,497,929,171,999,042,636,190,441,529,168,756,782,505,
679,354,961,218,857,487,147,384,889,567,199,042,563,018,693,513,602,161,420,
071,391,291,961,863,813,651,260,540,348,429,955,117,903,737,541,207,341,362,
541,977,681,048,809,990,060,204,214,096,632,193,352,302,708,314,057,820,748,
822,161,733,122,717,022,910,980,499,211,529,313,083,986,775,062,576,275,312,
644,301,584,862,770,174,649,015,163,300,148,194,440,954,176,767,799,349,044,
412,230,629,181,780,970,540,520,769,680,365,790,157,946,416,225,673,381,931,
958,392,021,818,204,070,521,294,004,469,110,407,528,902,424,983,370,237,024,
362,199,599,855,995,064,397,036,118,879,894,268,293,599,559,385,115,196,324,
219,895,176,202,870,120,644,339,533,959,872,246,136,448,660,434,783,540,627,
794,132,853,525,082,615,901,484,210,674,782,737,559,132,814,685,173,789,175,
592,945,178,939,874,686,751,295,057,590,938,615,528,433,575,657,891,680,198,
252,987,682,096,079,315,026,108,330,460,532,051,288,384,899,602,000,938,063,
590,499,869,058,839,316,754,536,681,695,465,189,058,986,287,298,679,430,611,
308,764,752,260,256,415,844,002,598,632,387,712,148,044,737,964,286,306,608,
094,165,445,087,328,116,453,218,263,515,588,816,463,415,092,555,257,505,947,
299,510,495,001,346,664,667,840,603,102,982,896,977,169,833,657,945,719,195,
290,393,889,124,863,388,563,723,434,173,376,238,291,602,040,780,813,355,368,
112,383,846,108,583,000,817,414,365,462,305,612,188,480,046,278,095,194,408,
416,438,352,675,820,812,365,792,644,444,739,759,321,100,109,590,735,254,915,
068,463,813,101,294,645,973,483,387,502,812,995,054,760,742,737,431,555,065,
257,512,256,391,665,086,504,591,985,723,129,404,370,469,693,222,702,272,162,
643,575,432,352,391,408,784,517,230,401,641,584,744,934,958,746,910,764,381,
603,710,717,913,036,537,794,144,864,293,573,065,870,325,170,894,087,135,129,
816,485,844,142,564,696,267,210,775,401,712,030,807,839,777,147,416,961,749,
936,415,264,605,472,842,521,825,807,116,663,840,312,972,536,882,810,498,856,
276,542,379,228,846,330,355,460,843,300,492,654,316,412,049,456,183,875,674,
289,137,455,362,420,445,769,277,868,063,069,952,973,746,677,307,027,409,997,
690,488,833,154,520,201,601,048,796,539,129,205,141,601,333,850,097,465,629,
759,253,271,750,043,142,965,820,765,879,127,485,859,820,459,691,466,733,979,
868,716,877,556,863,027,005,863,877,379,367,678,998,493,355,500,737,773,228,
324,700,842,431,572,009,261,250,245,360,773,827,724,906,370,617,932,970,606,
657,554,057,760,999,989,494,499,317,184,872,717,304,995,499,037,706,775,843,
555,134,909,635,135,570,574,171,092,203,367,746,803,586,242,742,531,104,533,
640,350,291,445,652,551,469,935,250,587,434,387,704,548,707,086,948,574,699,
643,810,117,294,867,742,439,394,567,656,192,439,549,573,324,134,366,437,652,
206,713,986,614,432,985,695,997,239,039,564,006,000,453,238,583,368,524,469,
395,458,733,764,293,425,630,584,357,953,310,531,913,254,142,406,918,346,506,
977,858,088,297,411,744,042,246,251,569,224,436,753,146,602,318,025,105,949,
594,418,330,395,340,935,137,099,812,955,987,648,606,997,932,417,167,025,360,
292,692,097,647,602,593,520,487,737,212,816,567,821,266,219,493,807,646,892,
868,424,684,126,084,735,184,574,585,768,800,903,127,133,570,392,121,527,803,
584,539,984,370,468,461,221,672,128,712,584,116,666,981,274,584,086,406,732,
438,475,490,579,464,959,414,378,529,972,058,936,765,759,482,504,559,356,336,
631,056,304,149,516,861,955,342,607,411,457,176,940,957,057,185,274,907,269,
281,993,062,388,273,052,850,480,930,816,152,840,821,516,009,555,752,650,847,
514,758,099,561,048,697,516,475,091,662,704,131,100,279,997,439,390,051,275,
187,351,097,996,924,388,825,773,168,744,848,954,710,783,174,117,969,286,208,
121,969,488,907,305,240,432,242,307,829,746,721,533,337,161,370,157,976,943,
654,714,472,400,629,269,498,053,409,418,988,997,401,241,081,288,618,454,202,
614,786,582,318,987,712,001,362,040,382,918,572,521,516,022,933,684,840,899,
928,640,920,468,410,517,198,717,527,225,131,109,464,986,991,995,046,421,205,
653,638,039,915,658,020,205,899,429,208,817,226,667,322,359,166,526,414,715,
571,304,209,591,130,551,206,837,655,471,621,014,379,535,983,732,937,188,203,
183,841,295,056,621,625,985,546,939,696,590,083,508,730,486,291,679,499,714,
969,819,854,555,800,511,842,834,104,549,622,783,786,218,870,338,451,566,553,
185,702,923,745,469,962,313,094,506,523,061,211,251,252,474,536,669,695,275,
649,463,266,190,058,905,551,148,878,716,758,523,830,419,036,888,337,429,925,
136,391,492,003,378,123,341,511,465,613,315,468,170,881,817,027,805,057,137,
595,443,253,454,120,870,507,377,827,536,119,046,556,281,278,379,825,118,809,
738,980,396,231,720,254,219,828,805,473,536,947,799,770,690,407,713,955,054,
004,172,640,580,392,254,064,664,491,625,446,706,089,636,925,314,300,250,655,
741,792,228,789,224,267,628,542,601,564,288,393,088,687,171,779,242,427,375,
142,826,298,287,124,325,164,243,800,202,174,950,955,582,729,856,771,826,572,
991,112,123,651,646,491,156,105,170,491,894,329,343,911,275,601,926,409,768,
110,906,053,146,992,390,915,684,220,077,688,912,329,925,566,228,946,397,552,
945,889,017,073,799,760,046,548,057,776,093,080,994,545,583,738,809,535,004,
380,973,006,049,374,970,625,751,306,649,492,992,906,076,863,650,521,487,579,
823,972,842,790,321,526,619,119,094,935,067,369,283,800,496,542,878,185,493,
358,922,182,442,099,079,959,094,528,232,240,343,863,929,382,624,098,812,508,
687,372,749,166,994,911,333,335,592,518,047,710,320,950,405,731,740,015,874,
558,194,204,492,292,188,343,805,142,304,975,965,368,549,759,173,622,139,973,
878,297,621,253,637,521,715,275,349,891,969,998,815,011,495,847,300,845,237,
943,113,671,708,268,420,361,757,935,386,013,623,657,535,469,676,875,328,906,
559,981,933,723,025,854,708,036,982,867,984,547,029,941,416,442,441,137,403,
065,067,537,275,563,398,769,653,999,866,222,132,567,348,646,382,663,545,478,
739,720,737,886,531,542,872,666,189,095,292,155,097,492,911,316,583,846,705,
831,486,974,738,938,906,853,648,582,820,114,274,372,069,926,428,755,908,811,
124,174,703,428,470,947,164,051,016,015,394,892,590,989,036,656,578,712,680,
979,464,624,801,717,793,991,787,544,353,210,136,286,233,698,910,895,834,713,
104,226,312,601,707,702,842,590,265,269,115,634,915,461,247,637,661,289,025,
007,986,057,240,085,702,586,259,086,516,393,852,275,125,952,844,657,061,466,
162,422,262,980,561,218,478,599,396,769,201,292,956,574,326,351,726,714,085,
265,071,510,008,967,413,728,664,408,026,761,071,513,559,326,318,465,679,669,
028,435,430,258,828,414,934,505,553,395,476,558,308,032,220,865,113,157,637,
076,482,155,399,376,706,763,666,398,463,516,027,144,297,658,424,852,267,027,
021,680,899,195,313,678,667,305,515,017,085,417,964,828,239,496,917,142,322,
656,265,210,187,930,178,197,708,764,863,073,890,972,849,406,930,107,568,507,
015,320,973,160,233,949,280,481,482,035,515,884,875,158,726,444,128,145,220,
098,102,194,719,899,464,745,817,709,328,185,078,848,237,859,222,472,212,776,
343,961,943,709,856,684,381,326,439,076,653,451,947,267,258,601,731,484,492,
286,140,871,522,476,715,389,949,586,632,492,593,448,569,890,432,313,970,663,
424,849,140,657,199,904,406,531,546,225,520,393,869,795,330,256,712,305,393,
157,150,332,606,213,228,326,036,186,625,396,697,354,657,037,491,965,019,732,
091,035,545,525,255,961,459,020,228,195,805,963,507,228,510,972,950,056,414,
984,877,945,894,765,218,065,356,189,312,709,244,973,434,229,297,391,340,779,
529,287,135,899,971,419,352,650,816,167,270,499,102,598,417,306,767,275,155,
777,192,414,459,056,702,425,724,827,181,330,765,144,927,542,152,476,595,544,
513,699,555,068,162,260,900,450,139,167,866,790,078,432,971,985,500,998,723,
773,586,883,142,707,293,142,180,713,416,907,255,978,204,900,276,160,143,944,
569,380,457,710,325,826,273,086,628,758,851,925,706,897,992,811,218,096,305,
350,576,092,110,600,221,087,052,338,024,056,580,137,838,094,201,285,966,571,
178,098,435,278,553,235,156,598,870,793,597,572,418,429,170,281,374,741,247,
373,860,402,628,887,890,367,855,407,957,580,572,943,300,920,284,183,716,176,
486,254,171,540,807,565,247,619,040,603,010,482,481,653,083,477,243,975,738,
594,409,347,286,563,388,781,991,399,060,529,046,110,296,847,736,053,074,572,
908,157,403,042,376,891,558,476,787,958,858,895,830,190,490,021,904,604,097,
954,540,800,899,636,976,395,797,010,233,163,584,126,899,769,626,527,913,194,
118,278,816,694,720,016,857,567,097,586,518,560,902,155,531,739,878,467,209,
676,933,194,095,174,324,695,404,863,842,346,134,383,646,602,388,090,572,530,
859,233,914,715,142,020,990,807,501,477,396,588,968,819,249,642,417,764,499,
094,939,864,970,359,830,081,045,182,504,039,114,011,551,657,986,907,869,541,
229,553,303,510,320,767,503,862,188,271,717,565,752,712,220,009,083,420,077,
388,217,112,761,324,091,134,217,155,819,901,710,930,449,674,390,507,738,559,
066,650,810,326,056,079,561,747,742,388,695,723,823,637,473,483,796,242,220,
809,847,372,701,507,672,298,097,671,249,926,277,070,982,158,602,793,789,350,
224,221,658,754,062,123,791,158,320,971,634,893,131,059,148,024,246,344,538,
897,156,547,790,255,231,679,128,393,992,149,467,670,301,895,294,903,950,712,
298,379,752,173,356,463,570,775,422,685,323,553,229,805,839,266,928,317,673,
836,772,246,168,271,185,657,155,428,542,942,752,256,308,084,235,501,339,319,
735,230,884,043,948,255,963,354,102,451,319,615,390,355,178,576,810,458,304,
557,123,352,538,265,045,306,851,940,007,896,645,393,576,699,011,117,379,701,
266,063,453,732,155,249,162,096,642,074,652,266,272,459,308,436,881,845,267,
446,256,291,545,393,655,430,869,996,150,871,322,744,590,558,024,044,988,498,
988,567,973,485,606,548,874,590,163,317,404,688,268,305,156,962,514,790,475,
118,471,836,607,501,859,895,368,166,424,509,376,831,901,069,289,849,340,505,
082,482,009,314,817,749,170,711,815,133,577,897,973,562,909,650,077,404,832,
767,478,978,979,656,768,061,519,796,906,450,263,477,997,792,763,900,347,990,
494,157,816,093,670,960,369,796,718,789,401,298,221,563,539,183,048,508,549,
388,904,866,660,262,703,170,642,440,825,818,718,046,374,153,201,429,600,920,
522,538,786,179,978,109,555,973,232,462,384,400,797,356,042,420,060,034,769,
045,238,728,282,783,515,192,079,657,696,630,517,835,975,940,820,892,744,564,
330,408,154,559,441,235,716,234,982,487,724,283,529,909,064,901,606,630,308,
335,447,338,174,733,442,418,329,005,076,900,171,596,951,666,602,253,297,534,
470,334,009,701,536,163,645,541,680,829,670,513,536,554,371,177,045,107,363,
859,986,868,865,910,985,973,309,240,099,785,488,678,593,499,582,628,150,091,
350,569,579,818,724,371,072,903,433,039,837,874,217,678,957,885,944,325,050,
621,722,549,082,129,361,923,786,240,107,743,802,127,424,048,979,056,007,857,
525,544,771,148,577,960,473,408,278,287,368,851,989,924,779,655,770,565,195,
609,574,553,501,288,044,910,766,689,025,602,945,669,789,516,621,319,026,959,
703,684,699,436,631,048,068,968,589,836,242,741,344,883,991,986,557,756,486,
976,885,010,759,951,958,135,694,897,887,867,942,659,562,411,546,489,866,967,
975,585,947,813,926,736,976,617,053,174,001,481,191,104,330,762,709,704,966,
614,889,063,875,480,441,407,496,652,033,363,590,952,866,936,161,196,467,724,
095,649,717,722,328,833,286,896,708,985,825,824,323,780,410,064,698,088,236,
088,427,970,187,040,919,560,976,447,697,496,424,241,019,031,680,017,866,066,
498,122,084,416,989,555,179,882,714,371,733,067,284,420,468,492,266,945,402,
273,356,116,892,256,772,558,629,421,661,257,176,833,169,891,645,514,965,232,
592,769,284,390,524,602,064,949,132,150,412,075,063,720,520,443,285,190,766,
680,396,356,127,364,844,298,656,059,565,624,151,111,220,253,870,208,627,239,
008,304,297,504,883,993,058,108,449,412,087,054,419,843,971,611,181,512,648,
936,268,971,794,486,923,798,548,302,092,021,531,334,194,931,185,506,965,466,
309,533,708,069,610,422,315,897,977,997,004,642,715,692,346,023,477,388,227,
757,670,781,053,145,659,248,852,089,140,010,677,782,872,113,283,065,793,933,
335,449,773,351,740,411,289,985,587,901,295,524,677,935,415,272,873,421,160,
969,371,340,637,117,583,248,065,905,177,438,654,794,620,519,208,565,328,345,
088,725,899,024,974,571,488,555,392,277,436,441,313,398,668,336,430,861,573,
355,179,792,962,568,780,818,264,337,777,360,903,612,574,537,903,808,000,247,
490,632,750,745,726,211,428,441,160,402,520,451,902,860,773,078,249,078,433,
502,560,304,158,356,218,038,515,601,720,010,161,262,627,434,072,584,490,434,
292,245,268,376,374,330,146,608,239,790,171,735,501,016,639,927,301,301,264,
501,020,506,534,048,105,243,713,273,004,726,376,187,990,958,535,950,077,994,
642,465,745,693,798,751,163,436,685,987,182,169,348,011,396,745,426,713,244,
107,036,553,403,868,481,059,596,325,048,033,106,146,084,915,753,466,468,117,
683,437,879,422,280,593,918,304,998,112,464,847,362,332,741,179,069,036,909,
941,298,513,534,391,966,124,685,611,303,565,289,724,066,618,091,138,412,234,
880,219,713,619,602,684,021,380,294,557,164,702,712,307,031,726,973,160,603,
130,115,001,481,749,455,880,848,688,579,306,546,046,386,459,612,552,991,641,
641,615,981,582,094,081,859,794,141,249,855,617,243,462,987,287,027,863,363,
174,398,049,417,647,766,890,309,598,614,641,597,146,735,729,285,877,311,255,
951,791,860,278,960,633,016,907,528,764,457,256,132,366,176,518,567,148,794,
030,353,424,626,417,981,759,312,464,796,938,875,487,452,916,391,674,032,092,
185,574,682,618,422,643,541,061,356,834,699,332,892,795,533,490,659,955,291,
151,775,275,961,501,242,832,145,354,489,241,958,528,892,032,906,529,408,155,
046,896,195,665,969,665,009,672,247,614,778,883,626,242,193,114,578,690,141,
208,604,974,333,604,799,313,760,962,197,892,995,152,605,723,160,054,975,894,
221,954,456,589,319,607,239,148,108,551,663,553,095,537,487,716,185,519,759,
746,632,818,847,020,063,616,448,435,379,507,358,218,286,078,029,345,198,958,
022,211,332,181,059,929,459,486,810,208,464,693,928,810,910,417,881,987,915,
239,575,341,224,612,120,932,044,831,021,666,752,032,803,765,975,032,397,772,
515,404,179,110,913,553,773,159,001,195,516,046,267,302,665,780,806,611,511,
541,018,477,999,923,292,786,146,954,516,203,808,813,833,375,447,807,490,972,
584,541,323,851,447,693,477,792,843,780,559,239,676,347,449,218,716,844,282,
990,216,022,896,832,406,739,422,833,325,117,598,434,056,596,439,396,409,592,
836,134,038,779,086,260,434,151,121,288,917,201,221,316,214,753,691,861,339,
917,265,896,104,162,800,814,113,310,910,973,376,221,772,171,868,121,463,651,
056,038,444,340,505,152,368,458,674,196,653,263,069,749,390,017,367,892,844,
025,234,417,517,624,310,029,918,877,022,270,690,544,781,171,895,605,471,191,
335,161,723,287,690,680,309,621,516,822,711,655,337,077,538,896,447,903,536,
461,460,747,255,491,494,100,748,485,744,278,231,186,126,372,217,384,558,734,
097,748,573,955,968,925,431,849,848,357,316,174,147,110,610,301,201,692,642,
924,541,366,458,102,316,418,238,096,142,279,617,940,049,415,285,126,799,104,
534,145,016,050,205,052,001,359,839,773,475,145,553,684,737,382,508,450,547,
277,106,887,171,422,689,938,442,164,423,212,209,496,325,736,439,236,545,348,
367,617,515,603,772,895,505,443,185,269,980,767,403,741,764,130,697,467,240,
960,337,863,843,599,008,075,269,885,911,282,470,230,124,046,978,831,924,800,
950,058,383,456,273,754,884,014,094,802,371,834,238,442,200,433,269,312,395,
703,771,387,289,705,937,481,075,923,040,729,989,548,210,483,533,090,765,512,
642,664,547,367,678,624,735,549,322,694,758,831,457,330,262,413,405,746,732,
094,933,503,029,412,339,708,133,352,788,064,361,019,518,486,006,743,506,007,
692,458,056,161,721,163,366,643,478,345,126,097,778,023,661,412,345,477,919,
169,250,593,246,989,836,887,631,639,343,766,956,303,048,789,854,709,089,021,
989,347,631,754,497,718,449,298,473,200,846,506,509,408,427,618,505,216,966,
983,891,363,239,749,281,011,739,741,476,646,584,138,249,486,997,522,308,299,
725,104,765,969,242,439,795,410,297,267,463,509,077,811,234,792,318,793,879,
613,692,648,311,323,836,533,981,213,333,911,755,332,422,292,489,243,495,700,
286,611,403,455,884,325,446,883,598,151,459,365,828,768,948,639,424,782,524,
680,608,401,790,418,809,773,158,587,337,332,970,958,422,383,391,795,315,510,
045,475,312,698,556,094,066,694,354,555,845,851,693,430,015,042,370,230,423,
513,933,686,204,340,436,263,499,017,113,589,657,296,086,485,717,427,529,824,
656,837,971,168,170,144,804,424,286,053,509,748,494,403,349,610,613,655,634,
073,014,023,647,570,437,395,217,110,454,874,630,421,760,150,125,742,272,192,
373,766,031,980,489,080,710,601,084,987,342,153,381,498,473,856,467,641,752,
752,857,781,038,625,862,711,716,208,608,276,054,345,233,369,956,023,506,583,
439,821,006,200,503,645,909,959,347,943,816,757,019,417,284,709,158,458,560,
161,743,668,881,668,540,500,368,355,785,159,311,219,065,062,857,166,815,094,
973,586,976,886,247,765,076,284,721,714,159,615,378,905,042,684,798,183,404,
809,215,704,016,894,591,835,490,936,361,168,419,821,392,204,616,349,692,301,
120,867,629,911,643,155,829,278,607,009,989,377,747,583,950,732,188,136,778,
018,723,445,406,504,420,130,643,551,409,084,955,914,897,004,958,104,270,888,
535,639,811,068,387,571,498,443,753,774,605,380,202,734,976,382,082,146,192,
247,909,291,525,472,606,230,487,701,919,815,897,781,530,167,194,342,422,497,
387,739,458,774,571,438,351,242,473,629,181,144,924,962,727,356,158,927,941,
658,838,797,351,166,903,918,052,296,888,633,151,299,028,447,462,184,884,905,
005,031,440,104,000,618,506,959,482,061,099,562,804,618,473,701,067,205,061,
234,143,930,176,360,491,098,143,586,554,213,456,525,952,043,577,905,162,749,
525,384,457,026,490,218,000,486,521,417,722,798,764,897,457,188,346,825,136,
972,410,184,950,230,564,558,747,390,273,126,094,209,046,354,609,941,779,531,
608,634,837,368,222,469,994,837,492,143,571,369,141,415,326,020,728,024,595,
333,774,531,188,695,594,476,750,030,513,240,790,259,472,564,638,405,763,650,
357,319,186,658,700,546,711,279,834,536,053,445,968,965,557,452,043,000,134,
020,323,456,612,847,115,127,547,918,813,315,010,562,699,929,957,649,235,082,
702,774,875,119,794,727,408,779,907,749,942,987,997,768,948,247,893,945,988,
492,345,853,050,760,929,853,488,853,006,019,986,730,162,585,950,400,809,351,
341,276,868,549,888,275,865,392,786,010,960,223,774,822,421,564,828,005,947,
870,225,697,998,176,577,567,745,675,523,252,722,734,788,125,467,003,423,828,
071,905,056,935,412,059,067,070,712,768,092,912,195,502,903,558,461,687,623,
894,070,610,409,615,451,175,456,142,193,568,138,692,538,287,744,890,971,943,
543,237,792,527,749,134,464,972,209,770,777,665,719,296,271,187,968,812,917,
893,742,240,074,405,067,458,976,971,588,653,415,986,577,283,179,940,338,305,
764,442,292,088,949,566,685,670,115,202,499,297,815,231,977,061,856,520,697,
815,338,289,074,433,115,335,596,321,696,346,217,819,468,420,119,048,650,065,
992,388,032,810,324,114,060,155,940,348,376,346,768,240,956,166,493,889,303,
991,996,594,923,493,150,712,039,110,764,399,936,501,197,111,057,452,002,034,
405,541,416,765,152,470,787,306,131,005,007,499,992,973,680,676,181,102,272,
966,810,405,384,013,697,222,857,578,685,523,348,064,236,124,122,008,781,375,
835,077,395,517,597,208,647,044,319,920,096,790,767,829,150,682,203,619,156,
247,620,476,104,191,687,596,686,987,374,513,910,347,744,421,098,609,899,155,
865,645,428,015,935,661,372,198,679,507,362,987,575,553,460,730,330,542,441,
945,225,922,556,614,343,750,648,736,197,686,737,914,217,043,457,612,754,254,
045,314,761,423,780,719,774,663,963,489,210,062,533,120,456,601,737,576,445,
070,751,372,230,230,211,945,389,561,617,031,581,439,198,681,799,461,731,626,
366,128,277,971,477,424,250,570,379,061,911,445,528,867,499,818,659,825,379,
096,826,651,149,344,305,867,462,949,375,870,572,192,438,892,294,933,043,764,
761,755,324,082,298,934,882,543,408,840,115,782,822,039,795,126,972,770,410,
564,202,487,289,727,675,721,681,226,238,723,800,522,317,690,755,128,507,915,
591,519,439,173,221,094,630,135,255,170,813,738,681,262,677,397,239,383,692,
521,143,322,756,942,448,576,665,292,130,568,574,651,396,650,562,822,006,589,
338,482,769,380,251,772,917,052,534,839,446,301,535,597,975,525,056,844,018,
659,332,215,128,350,141,965,900,334,105,969,425,279,699,716,634,376,810,754,
446,780,658,928,766,032,999,274,079,197,284,258,679,813,315,373,420,437,270,
187,969,420,150,255,109,342,881,679,617,262,348,272,059,815,697,183,097,830,
676,260,787,819,711,572,476,289,213,068,148,575,921,556,271,331,027,002,008,
357,052,137,080,185,831,686,295,326,486,147,238,575,261,767,622,244,076,422,
788,209,287,005,412,181,737,328,719,037,101,232,867,049,314,617,732,700,582,
909,930,308,554,671,185,723,526,761,996,828,998,971,651,008,495,100,355,462,
066,652,207,323,336,307,011,705,454,119,700,778,775,490,624,699,606,202,989,
341,610,518,750,875,995,870,742,118,806,041,348,801,923,889,144,032,126,195,
978,141,076,318,401,525,125,426,425,187,164,372,671,595,009,839,731,033,766,
464,696,219,359,259,812,018,054,822,928,648,480,278,594,986,004,562,800,815,
683,922,922,133,616,805,086,501,476,940,356,514,983,477,187,877,311,557,258,
997,140,848,596,847,956,195,358,964,677,183,398,100,587,770,828,905,672,335,
234,946,022,212,735,457,382,199,857,252,382,417,141,957,111,597,309,744,033,
925,891,253,857,012,431,423,417,615,521,775,899,981,771,791,170,426,351,386,
792,060,560,599,978,111,241,813,516,287,340,203,877,179,511,902,341,582,800,
545,849,923,386,675,617,715,680,317,554,624,185,445,158,766,575,504,308,976,
981,909,275,982,030,614,363,412,209,432,883,439,594,514,196,637,419,470,445,
626,182,506,049,945,664,431,684,212,599,345,729,417,810,401,550,763,192,205,
255,420,247,818,609,448,307,022,320,721,671,527,045,687,602,888,180,288,711,
810,921,417,236,514,839,606,343,930,638,206,939,224,930,759,549,369,377,094,
191,170,156,577,485,094,424,960,881,892,073,475,017,276,327,917,476,224,238,
713,132,807,963,445,049,538,577,660,180,857,805,403,714,728,132,195,631,467,
459,688,844,438,457,213,231,725,307,014,781,217,173,638,466,029,331,361,779,
240,505,434,015,705,695,139,730,796,729,792,714,382,192,823,880,427,051,625,
224,657,744,577,028,733,656,725,212,781,856,786,173,166,159,169,846,732,826,
832,948,274,378,110,158,779,072,474,014,344,162,421,496,178,156,723,119,515,
126,583,803,458,950,886,822,394,444,624,867,751,686,480,121,794,628,202,604,
839,862,439,827,097,222,727,357,744,185,587,338,605,281,148,121,721,829,864,
962,372,736,515,157,932,278,786,481,690,157,673,353,829,266,761,209,607,992,
635,576,017,385,332,530,842,192,000,752,532,733,732,982,517,780,147,385,403,
193,282,786,954,538,065,130,799,475,350,463,882,106,606,346,330,468,008,932,
414,730,584,755,929,413,647,455,267,468,609,876,826,888,028,506,824,212,425,
308,296,575,201,602,565,170,651,446,658,168,143,816,832,540,928,364,458,768,
380,795,389,438,113,207,925,635,463,341,054,999,157,318,002,282,853,756,973,
911,240,401,707,322,245,659,062,281,433,356,784,548,461,367,276,844,932,229,
922,462,675,891,152,816,832,484,632,161,376,530,108,421,039,977,149,806,471,
421,394,719,398,055,576,358,376,669,778,146,918,082,981,809,766,532,723,066,
410,877,032,456,731,625,739,786,754,090,133,039,828,087,582,392,764,849,932,
451,590,516,756,542,327,178,589,962,668,137,645,633,230,423,555,674,740,132,
920,470,685,680,082,034,288,799,037,330,051,644,525,073,664,945,340,402,670,
942,301,829,929,380,653,605,292,192,174,345,497,339,246,207,229,221,577,926,
634,325,853,498,854,796,700,973,695,417,361,651,015,009,015,136,952,182,358,
592,488,835,863,040,272,334,045,010,622,476,128,826,582,960,719,415,306,597,
593,610,851,967,259,855,897,526,959,889,684,074,820,482,483,516,978,542,524,
270,188,418,317,989,186,354,005,044,562,667,556,269,358,040,290,110,350,677,
319,239,071,752,286,116,605,496,021,049,864,954,807,892,821,415,720,540,500,
472,637,697,503,147,483,636,007,675,224,296,409,327,609,870,880,000,569,548,
710,649,019,517,050,272,597,859,342,850,643,988,534,191,530,150,762,581,018,
830,742,665,245,960,144,980,768,973,878,744,664,251,505,434,032,383,875,743,
073,603,787,692,622,819,359,745,502,396,399,341,051,798,325,067,839,308,676,
676,684,933,956,410,166,910,434,424,983,063,112,943,936,093,387,794,266,060,
855,621,398,361,588,553,937,179,507,875,603,526,220,436,318,960,606,014,597,
717,017,165,923,866,313,565,676,723,234,491,555,784,677,860,209,637,068,695,
943,604,377,866,097,704,702,559,536,626,831,180,107,817,041,543,046,052,867,
095,045,157,665,041,840,755,944,479,145,587,139,139,211,455,977,200,931,863,
604,609,508,920,213,154,111,656,654,528,274,429,250,723,454,988,051,924,916,
494,962,916,357,205,518,149,430,198,285,330,678,182,539,044,006,212,513,129,
596,236,818,253,057,056,319,309,964,064,393,126,747,328,388,178,782,003,231,
360,808,144,965,875,171,509,857,449,477,502,214,365,190,254,448,061,229,582,
941,069,544,498,436,066,663,797,738,651,124,508,092,137,416,519,821,898,095,
749,707,073,918,728,952,434,940,425,102,404,076,766,392,224,219,721,867,749,
238,099,336,924,234,189,898,715,850,489,907,000,889,402,602,492,665,621,609,
676,838,129,068,360,639,102,797,270,308,685,657,507,501,469,968,949,172,792,
521,662,146,825,616,586,394,262,226,764,426,640,991,905,780,626,847,138,979,
128,106,178,004,242,590,233,744,076,769,617,912,372,065,904,526,886,895,517,
266,859,218,931,165,691,634,862,829,763,165,712,125,543,802,978,729,988,431,
207,039,896,746,220,725,578,185,026,274,184,793,508,553,904,864,310,978,615,
478,423,234,928,940,246,182,664,840,664,442,973,653,453,210,303,608,959,704,
772,449,876,212,185,348,269,867,137,434,839,946,909,524,137,685,387,228,553,
579,730,506,136,781,637,342,930,893,572,517,022,430,296,166,700,322,414,884,
759,325,561,797,648,349,662,859,646,859,645,554,044,332,659,570,471,878,229,
127,286,101,342,430,911,711,360,840,004,402,904,532,734,964,936,866,758,302,
562,456,479,304,562,490,872,034,957,871,976,437,182,806,274,199,695,735,358,
081,395,344,828,303,074,067,263,712,926,720,508,116,728,664,163,010,482,787,
960,248,435,165,324,000,745,420,929,788,487,661,710,953,992,192,079,095,403,
320,628,880,061,232,596,908,758,691,140,136,410,076,916,761,177,157,556,935,
513,974,933,069,179,328,411,702,031,760,655,418,680,605,210,367,461,221,930,
543,710,923,582,730,677,950,267,877,536,606,239,460,402,659,335,692,028,685,
615,582,589,977,674,158,565,910,963,850,041,936,304,284,373,597,554,132,553,
209,716,097,062,434,424,329,949,082,290,922,912,448,221,595,868,491,839,169,
268,526,759,755,173,833,985,046,110,627,861,955,616,478,761,280,017,602,501,
608,334,877,896,251,027,180,294,848,585,447,426,690,513,435,721,075,905,406,
491,278,171,190,144,286,007,415,731,511,216,760,831,574,769,279,219,674,759,
781,778,571,048,952,040,070,913,460,972,242,812,545,190,173,458,433,012,328,
192,272,452,883,321,574,733,858,620,202,427,836,896,776,007,340,113,586,069,
682,397,657,085,753,633,469,899,981,662,258,755,008,106,200,315,774,545,525,
613,104,498,302,457,275,520,680,889,548,204,080,255,507,581,303,104,123,248,
214,218,459,006,685,628,600,286,326,613,225,557,897,786,047,579,253,881,297,
264,235,538,646,513,296,342,625,194,328,079,506,370,538,717,341,556,907,520,
416,019,799,746,537,059,967,058,569,168,809,288,842,176,612,581,511,091,906,
003,439,826,976,588,057,291,444,150,164,170,905,376,013,938,105,650,060,268,
358,424,081,810,501,414,677,880,877,597,595,010,013,991,028,204,544,863,845,
941,060,570,442,535,199,757,126,274,243,200,113,368,797,078,018,116,597,666,
835,369,696,600,006,807,459,631,586,100,174,549,697,502,237,055,585,013,278,
459,349,134,604,113,153,431,852,756,239,055,084,053,756,744,483,324,234,588,
872,564,977,151,672,340,286,856,989,525,382,877,922,412,993,513,250,819,455,
647,148,217,110,180,829,413,290,538,169,110,637,021,339,647,979,701,764,441,
640,104,195,197,889,612,082,043,916,439,495,586,015,274,335,871,548,840,900,
613,647,472,061,348,716,053,001,284,209,884,661,849,919,276,481,081,770,365,
587,483,966,844,307,332,527,028,899,445,712,207,512,710,819,458,783,914,406,
160,224,306,407,416,757,103,829,905,584,216,201,183,377,594,279,487,852,837,
017,454,125,351,672,482,410,115,964,489,171,056,163,851,504,248,959,438,595,
881,855,634,171,002,637,612,537,292,125,186,845,585,876,759,073,465,793,236,
625,090,321,501,315,067,610,039,418,411,316,262,202,308,470,405,794,320,698,
278,832,948,254,500,737,421,472,286,634,820,185,526,860,326,838,836,022,641,
753,924,289,970,741,990,304,785,100,975,540,415,396,949,745,456,579,661,432,
866,853,728,340,335,183,625,589,315,130,131,982,366,261,930,865,226,519,276,
485,483,427,555,285,437,898,947,229,531,628,503,718,950,737,092,572,827,015,
213,070,710,161,757,607,435,983,243,764,557,841,466,721,132,210,954,489,710,
015,716,467,743,561,045,224,240,926,370,705,737,997,823,103,635,294,848,901,
372,292,953,349,387,990,938,574,973,679,388,079,739,077,313,045,245,214,533,
196,774,328,031,516,185,125,754,851,067,940,506,469,315,859,107,555,750,009,
611,809,948,111,182,569,981,626,535,350,821,216,411,701,409,171,422,599,994,
898,215,702,432,161,995,653,781,501,815,251,320,992,829,397,281,697,205,748,
691,051,001,260,084,295,624,494,227,396,932,680,008,157,898,841,756,143,978,
817,005,039,449,654,306,749,258,461,691,928,236,461,107,961,645,100,511,441,
856,945,132,953,312,884,205,582,932,451,157,504,384,478,814,766,689,766,342,
489,807,376,705,099,632,550,958,948,309,779,262,577,353,902,477,726,353,525,
262,875,489,060,535,806,526,502,318,295,420,353,142,356,953,952,622,906,463,
712,867,479,751,666,534,015,286,099,423,173,896,289,977,711,250,798,391,081,
080,700,373,502,241,192,384,527,090,952,400,325,296,388,168,749,241,029,311,
535,972,240,508,858,700,854,407,579,545,465,538,273,676,458,987,047,098,672,
806,486,694,779,045,335,945,542,894,069,926,973,870,245,550,769,264,228,386,
165,417,138,244,733,552,744,505,797,332,166,247,742,952,549,432,057,857,161,
790,172,216,648,329,333,328,701,098,900,717,122,473,431,786,497,729,474,653,
328,459,097,071,784,366,241,846,499,305,649,377,614,314,388,150,123,409,591,
827,602,164,590,040,665,905,003,025,696,144,549,864,748,593,788,237,665,263,
449,463,259,555,583,106,978,947,064,946,011,398,975,609,395,964,567,294,234,
155,684,949,033,407,132,123,744,147,206,861,247,621,604,852,295,410,691,883,
045,882,276,568,063,280,575,144,663,986,388,683,102,469,917,277,042,868,091,
960,602,966,224,089,681,469,087,641,775,648,618,931,583,032,917,443,410,733,
802,010,283,053,614,825,746,719,277,901,358,404,243,755,399,856,406,531,761,
618,174,771,525,046,585,277,918,511,829,483,679,225,521,299,346,462,553,877,
903,106,367,604,036,846,567,626,541,598,587,563,503,531,288,544,485,140,424,
904,314,305,360,286,731,883,034,720,732,975,637,739,075,003,872,860,288,895,
833,696,748,290,959,153,437,718,156,912,950,346,818,714,848,946,543,740,928,
639,447,979,875,348,425,453,911,171,145,190,872,656,097,987,209,047,927,394,
865,226,010,411,688,152,824,458,531,271,187,266,465,004,243,208,673,690,439,
190,254,974,822,477,119,271,647,640,387,026,007,053,651,760,537,690,924,429,
388,578,698,009,173,454,752,999,440,734,999,927,200,986,318,094,458,543,815,
814,479,022,225,104,527,684,267,389,079,767,513,873,418,460,075,759,548,371,
078,619,849,173,356,327,871,527,836,517,223,735,240,252,381,547,582,310,966,
306,616,717,330,551,753,862,766,973,315,531,120,151,244,982,613,697,748,574,
860,333,945,592,898,910,110,083,207,474,878,979,777,114,229,919,234,841,066,
144,835,393,301,225,984,483,834,193,014,977,181,782,600,056,738,842,208,359,
148,124,654,134,489,015,256,124,571,260,101,846,824,576,800,711,134,240,762,
414,790,871,577,660,393,344,184,569,533,084,887,738,923,747,276,174,893,283,
454,316,997,752,775,020,265,153,019,713,020,702,630,384,270,368,032,039,733,
739,581,542,686,947,612,090,029,462,673,074,738,010,213,047,520,819,480,805,
664,084,053,203,534,070,756,130,944,706,553,594,020,552,434,900,268,013,193,
802,431,150,938,960,364,668,982,384,708,754,201,472,977,421,147,665,616,999,
928,314,541,121,346,276,073,390,850,362,143,447,864,467,932,036,748,989,742,
485,223,133,873,075,892,293,354,370,602,988,233,768,836,845,417,627,702,337,
051,133,507,180,552,065,457,597,108,418,115,626,642,264,232,694,690,470,957,
406,472,634,777,518,380,103,759,180,798,501,774,649,250,199,477,366,229,019,
142,029,570,052,285,410,333,803,692,488,823,011,961,421,972,620,978,665,991,
934,163,651,760,403,525,559,716,287,633,070,698,151,166,950,529,313,679,910,
186,170,582,252,187,498,786,003,706,924,860,059,250,301,879,820,582,322,854,
847,238,189,991,931,768,068,853,787,298,641,542,980,670,073,904,856,572,165,
039,766,475,957,059,772,643,462,897,179,510,957,233,314,070,867,183,271,010,
104,885,869,921,049,383,176,708,317,098,485,792,153,601,495,276,615,157,474,
068,038,351,265,157,438,866,714,928,555,980,865,306,124,463,477,373,334,260,
731,877,099,824,486,090,715,897,008,526,836,178,852,772,758,820,641,033,050,
691,047,789,450,028,538,700,075,608,851,162,780,995,360,761,475,275,061,674,
111,692,022,000,789,366,078,557,710,576,397,781,227,430,275,437,843,048,514,
159,204,815,142,178,202,856,780,007,008,387,131,660,179,160,714,066,143,845,
684,542,988,203,381,367,562,024,705,004,889,715,541,369,481,466,549,443,321,
698,555,395,411,564,120,598,645,287,300,149,937,004,582,965,265,919,745,813,
374,545,375,659,939,086,605,377,763,820,258,085,486,048,895,685,905,468,604,
305,950,677,786,893,459,184,777,701,842,377,559,127,610,191,949,045,924,107,
339,519,513,717,043,502,116,587,698,971,109,362,471,469,327,438,048,067,944,
882,253,965,364,850,945,873,326,171,071,567,119,163,126,940,115,693,004,555,
080,807,179,105,737,325,358,417,605,560,171,329,695,872,270,820,995,768,769,
213,200,019,990,729,175,518,091,058,437,356,981,158,732,868,336,400,149,533,
865,547,674,893,054,979,006,143,462,763,041,747,437,083,456,164,286,295,636,
843,816,975,703,264,204,644,621,863,473,310,594,142,778,836,614,139,683,976,
027,635,437,476,324,784,228,671,008,434,620,655,180,807,481,658,587,747,013,
455,425,172,473,471,952,748,721,289,077,505,172,090,953,907,214,679,171,893,
748,726,326,076,707,827,549,213,364,167,259,841,778,953,490,195,704,167,593,
643,260,455,289,585,023,538,131,709,438,124,300,017,447,673,490,773,320,902,
273,623,370,557,444,139,294,045,310,150,125,540,966,673,727,028,902,917,563,
672,490,759,501,232,164,504,886,450,039,193,581,807,929,436,060,692,104,951,
617,126,604,959,637,005,494,540,034,500,414,782,244,259,064,167,038,357,915,
027,550,669,492,164,947,174,061,646,400,876,795,772,921,673,119,227,859,464,
007,479,660,226,908,696,355,325,833,996,319,394,046,331,170,465,197,977,974,
995,330,408,117,478,668,773,753,798,803,698,051,778,459,777,763,403,170,138,
559,490,543,408,805,301,792,351,169,715,124,331,082,217,737,865,968,523,861,
313,586,367,412,822,356,714,883,185,068,361,651,593,203,423,265,885,916,260,
774,547,232,787,235,870,837,594,752,157,072,128,802,284,038,462,856,078,714,
129,876,037,034,229,714,858,139,150,387,225,083,876,743,128,202,993,113,622,
678,995,033,689,334,258,401,376,039,368,067,805,102,590,255,891,338,963,006,
287,400,553,319,337,900,644,963,931,563,970,303,033,501,216,613,732,935,917,
694,203,241,755,582,832,647,287,503,534,190,540,550,232,431,243,001,630,285,
695,974,998,887,450,640,715,820,918,378,800,753,201,543,213,669,014,446,213,
734,022,760,773,869,613,078,256,004,328,106,124,145,137,428,555,815,730,326,
261,058,876,426,644,984,535,386,903,693,030,467,105,076,333,946,200,789,028,
865,023,086,246,529,243,791,228,464,968,706,857,419,900,833,011,341,393,938,
793,073,668,845,473,066,366,762,177,035,114,580,273,867,829,523,696,833,096,
836,521,150,668,055,632,348,039,743,987,871,272,989,340,405,229,809,873,763,
394,395,772,668,363,877,466,150,541,601,361,813,658,200,843,662,257,815,466,
566,130,009,140,220,534,785,067,740,781,562,136,160,989,630,313,365,421,138,
335,483,399,430,061,038,591,761,711,075,062,941,354,912,541,496,095,365,405,
374,138,532,559,602,910,873,784,787,796,065,393,756,756,323,471,699,392,952,
998,909,785,149,908,419,173,476,261,648,544,267,475,298,002,413,680,180,557,
605,131,743,371,349,883,948,447,154,193,835,542,285,372,282,024,724,447,190,
696,144,623,886,094,780,153,028,880,420,701,414,312,954,291,591,658,353,791,
947,020,624,209,836,090,857,142,143,088,440,366,746,405,487,373,091,631,186,
696,561,728,582,267,802,745,299,225,810,567,689,280,571,725,404,070,641,637,
183,111,387,879,446,318,186,999,463,819,947,208,371,888,031,172,929,464,442,
227,563,847,308,049,747,819,743,946,366,039,790,901,509,456,105,749,966,207,
655,030,518,129,786,696,108,542,773,580,948,560,027,557,456,559,343,212,396,
466,696,782,745,214,651,858,611,396,475,248,625,982,210,153,038,184,772,387,
629,252,646,180,845,823,513,530,946,671,882,382,132,343,969,700,906,351,554,
474,814,473,493,672,214,521,277,811,893,879,611,117,597,660,796,289,340,186,
035,908,806,145,710,034,101,344,344,273,992,070,127,637,599,264,944,269,306,
111,723,525,432,435,209,027,988,208,877,442,890,960,607,927,805,998,155,100,
262,311,860,955,081,935,738,963,413,997,449,612,089,797,056,848,100,928,033,
948,978,843,638,736,792,303,681,995,554,825,671,171,834,263,578,894,633,808,
691,862,358,691,691,023,731,274,727,314,801,611,688,621,517,027,038,983,144,
784,533,856,229,375,013,720,832,662,511,743,735,421,647,569,887,808,720,214,
038,182,281,755,936,722,501,503,892,753,898,775,954,424,053,439,170,436,676,
137,698,334,012,379,334,211,528,926,046,664,419,413,857,701,054,212,568,762,
112,495,777,700,395,003,403,377,351,419,321,515,095,582,805,869,405,688,257,
936,503,242,203,982,605,087,454,846,532,473,470,791,620,425,418,857,442,018,
086,201,911,270,965,536,529,863,505,098,313,238,715,111,160,423,102,622,764,
300,989,684,721,799,868,985,274,121,694,635,311,639,438,046,632,906,749,620,
849,793,156,702,160,532,564,381,783,801,738,727,869,976,576,597,217,294,330,
692,759,080,071,315,151,178,657,258,966,565,213,251,534,700,068,226,255,001,
151,513,709,321,421,788,111,046,353,535,526,844,899,615,870,169,091,581,208,
762,523,842,010,830,617,974,171,218,312,201,374,595,845,389,045,208,704,856,
256,583,093,240,623,663,081,962,324,682,898,248,030,909,724,258,175,229,795,
685,598,603,308,973,880,229,024,279,690,426,323,766,281,945,952,673,012,908,
307,468,760,905,400,905,960,592,808,800,861,942,080,265,941,324,821,428,088,
002,752,015,808,593,044,063,781,770,715,920,283,516,273,563,575,884,605,831,
712,672,835,643,688,824,922,303,223,668,964,666,316,786,587,299,151,621,057,
644,851,488,982,963,510,323,031,862,809,218,081,320,643,540,134,874,871,560,
929,134,601,856,815,625,317,797,608,777,170,365,118,153,862,426,359,904,096,
477,326,692,054,123,803,873,332,484,956,932,362,260,764,134,430,041,652,901,
053,665,082,560,743,809,978,895,859,707,219,052,903,190,800,003,846,842,830,
784,415,419,080,150,005,552,201,508,815,148,389,685,317,043,797,169,369,514,
667,356,882,026,164,768,553,991,104,105,382,389,067,943,952,964,901,445,718,
382,794,530,850,144,102,100,892,949,095,776,047,288,119,023,637,121,221,453,
802,074,453,001,869,159,124,605,961,310,000,649,005,251,523,754,343,668,087,
667,311,535,234,373,708,658,420,141,174,599,522,752,849,403,673,993,196,478,
633,846,836,564,935,594,749,163,240,612,949,287,884,898,850,926,676,582,482,
034,304,409,148,954,277,548,285,697,543,786,937,479,203,390,356,167,486,603,
303,156,254,897,076,739,074,561,431,938,560,522,640,491,331,129,279,265,305,
461,381,421,922,913,423,191,876,523,353,121,384,251,125,151,018,372,692,659,
733,734,683,459,879,001,116,848,828,081,177,632,813,200,995,861,773,419,330,
473,150,594,979,261,257,974,661,731,320,970,598,955,147,718,239,663,715,886,
520,842,248,515,818,098,973,586,928,038,244,729,728,487,946,046,125,789,250,
603,651,297,025,005,431,449,074,278,280,381,912,496,453,341,601,682,097,789,
141,674,773,097,189,993,328,841,475,695,787,851,388,849,898,242,484,323,344,
256,705,012,002,676,717,146,885,718,621,408,293,530,243,642,988,364,916,487,
298,965,874,606,423,911,756,541,834,872,740,105,463,032,546,949,254,629,190,
935,682,738,150,926,155,901,410,916,237,927,177,876,246,905,459,212,384,583,
606,471,573,032,479,567,503,612,943,642,039,659,095,377,031,522,540,106,163,
405,869,001,812,073,495,871,227,701,123,627,826,016,865,854,001,428,773,867,
638,078,606,793,222,755,849,865,238,193,356,994,558,726,811,949,012,512,165,
823,647,754,155,227,175,259,987,626,421,920,034,795,403,300,275,770,599,316,
998,088,760,955,217,233,335,790,249,519,179,884,656,107,901,100,331,444,047,
695,724,260,738,811,071,783,328,696,917,011,911,075,823,378,234,329,864,836,
112,184,301,515,595,246,205,679,584,814,740,119,870,625,294,183,682,063,882,
887,221,134,678,671,682,388,149,422,961,558,686,889,495,997,887,962,436,996,
206,706,355,936,963,685,052,335,190,368,412,118,554,148,937,723,944,533,724,
799,878,716,689,621,037,243,983,816,297,898,705,889,439,310,431,858,502,995,
871,631,267,766,915,943,389,745,974,515,598,151,315,651,508,167,000,532,632,
790,509,050,965,153,887,477,409,399,818,504,161,386,340,240,611,182,438,905,
841,866,304,633,680,186,235,990,373,753,411,135,776,780,903,159,173,958,215,
896,934,183,936,252,035,533,613,076,659,158,973,599,663,417,851,351,121,321,
153,103,347,149,996,777,039,440,963,565,812,855,385,434,016,361,220,371,582,
146,713,426,756,796,447,167,390,472,698,046,134,560,107,808,640,380,097,972,
664,540,785,130,642,659,418,776,088,096,885,160,032,896,231,795,265,742,053,
556,927,095,428,054,944,086,462,207,007,090,020,784,024,748,566,042,451,459,
849,647,901,881,112,279,006,650,245,253,560,744,260,805,058,444,450,074,556,
475,550,743,881,832,095,348,735,890,582,182,500,366,806,548,351,652,112,073,
793,950,856,204,143,438,641,841,024,623,635,840,526,012,786,487,963,936,371,
283,953,617,833,029,391,644,614,653,214,210,816,950,816,957,236,285,376,711,
906,279,027,683,966,798,565,569,890,531,432,515,912,983,579,294,590,320,657,
943,136,347,046,476,120,911,401,582,841,641,690,484,028,351,662,348,193,864,
756,534,589,480,302,270,870,820,442,923,204,948,350,993,760,344,000,831,545,
421,732,394,559,687,514,144,727,620,212,461,249,766,667,430,132,535,207,891,
105,323,869,447,674,964,213,634,879,153,685,014,001,890,927,954,286,392,959,
080,232,285,999,916,691,315,961,760,245,268,678,289,659,264,937,840,559,987,
089,859,071,858,014,739,832,478,131,317,936,660,273,617,085,387,403,079,082,
362,624,334,376,239,366,222,952,675,957,624,112,356,294,548,750,507,432,652,
022,080,283,849,216,985,892,040,988,597,700,440,320,229,919,887,675,969,487,
610,026,223,470,330,040,135,334,535,896,763,493,951,329,116,843,198,906,163,
788,535,355,649,227,232,655,881,501,711,590,854,097,671,016,205,485,494,589,
915,125,994,092,555,242,603,657,311,097,102,183,989,627,442,194,874,535,011,
207,607,139,600,265,707,076,494,676,359,531,752,344,662,182,961,245,875,505,
375,229,026,899,381,552,956,919,684,989,802,035,515,427,615,993,603,956,385,
586,686,032,632,098,648,076,052,944,223,583,152,599,148,479,793,915,566,248,
912,549,820,530,366,448,348,715,640,387,084,370,382,181,248,828,835,629,069,
409,271,250,279,284,348,115,568,307,155,365,623,354,102,330,995,945,546,613,
869,313,913,609,768,938,475,404,004,540,268,733,459,127,018,566,944,805,356,
747,982,669,261,430,795,774,284,144,347,432,963,500,030,225,287,311,853,765,
507,065,575,954,712,992,456,931,597,776,361,748,143,626,178,047,475,103,600,
399,484,332,430,731,702,182,750,879,788,277,575,562,184,807,199,600,662,210,
994,949,901,987,303,493,521,459,180,949,897,375,257,655,675,214,840,284,604,
685,215,244,393,088,208,621,420,782,422,036,105,001,803,905,631,820,817,327,
987,396,665,553,450,227,116,793,536,846,431,804,585,995,962,092,103,612,224,
803,013,934,685,274,508,568,313,426,338,326,946,040,849,758,831,995,292,024,
732,209,636,963,557,383,608,765,684,171,608,878,312,634,800,933,495,647,014,
898,998,587,760,160,908,541,502,013,090,995,959,521,879,589,884,512,237,603,
103,194,178,878,328,961,836,899,993,582,764,418,089,868,304,611,778,658,445,
844,148,329,553,383,511,177,623,860,231,619,343,954,477,418,891,703,436,272,
418,955,437,025,868,697,011,182,643,088,231,973,760,601,383,833,055,255,010,
710,076,175,482,506,288,819,337,123,669,921,236,771,393,025,300,365,991,626,
827,053,778,633,579,977,050,088,553,333,524,413,765,770,281,506,206,219,126,
608,649,139,522,975,274,349,264,410,241,878,942,875,882,934,868,190,434,660,
277,764,157,266,273,814,366,962,344,327,113,335,193,687,817,996,642,117,389,
374,896,396,607,576,095,494,285,609,985,767,330,582,473,761,223,446,127,081,
435,177,267,971,258,505,992,222,354,685,137,311,469,457,687,504,518,950,982,
564,585,949,761,805,677,177,348,813,972,241,629,993,996,457,903,920,826,995,
682,823,845,545,896,610,178,055,556,637,773,816,727,338,081,173,108,543,779,
566,966,318,746,380,885,941,809,849,086,138,688,659,978,046,981,607,900,469,
429,821,046,693,472,798,839,525,546,352,395,277,384,300,868,426,670,270,166,
090,315,018,659,526,312,295,541,302,243,042,671,653,750,791,658,481,820,867,
149,848,105,543,361,685,205,813,174,245,458,527,361,478,216,512,580,657,968,
749,524,693,967,088,618,220,450,297,348,736,794,172,089,855,961,845,083,308,
948,543,796,100,628,382,000,773,395,630,659,171,639,088,671,344,219,598,026,
544,060,751,645,470,449,688,057,335,593,537,986,037,222,614,945,424,026,521,
317,239,439,514,916,017,977,896,862,735,312,050,023,098,650,393,363,883,971,
453,475,065,282,844,556,948,091,392,469,938,123,816,965,561,707,179,718,537,
969,478,897,554,969,640,533,733,852,222,289,376,620,802,729,334,244,947,509,
004,053,212,147,789,891,433,789,615,766,209,626,792,980,656,851,630,687,521,
986,321,705,678,264,324,460,564,923,391,082,791,469,033,302,586,370,457,749,
021,693,954,369,527,175,102,264,660,741,961,243,282,084,880,812,648,316,081,
356,928,403,625,833,934,453,220,212,759,672,996,615,732,391,670,781,374,023,
502,254,120,669,734,431,418,221,242,501,883,687,523,856,300,773,855,446,109,
109,270,302,709,868,062,071,597,082,915,475,044,697,818,194,956,271,290,906,
473,655,351,976,479,684,388,351,634,399,133,394,113,164,112,051,858,535,783,
732,280,807,182,262,940,188,048,833,343,932,285,669,105,881,358,339,044,375,
999,658,541,740,386,432,524,229,169,659,495,697,897,602,804,683,079,757,543,
248,659,084,657,917,826,170,066,251,769,677,561,295,451,995,886,062,950,586,
463,992,450,132,954,698,266,295,088,162,200,950,995,015,108,731,899,244,145,
564,530,624,576,801,402,425,111,618,572,214,227,660,905,879,922,853,817,514,
744,169,224,345,884,418,619,377,198,270,943,276,597,450,203,818,824,593,268,
725,132,396,046,817,830,059,572,488,584,145,597,617,303,564,662,644,620,991,
170,382,274,734,780,765,330,553,874,175,439,197,617,794,458,460,209,582,679,
803,958,257,664,648,155,452,672,232,378,092,701,497,592,576,730,268,098,135,
685,909,946,600,768,742,071,645,382,923,863,544,970,805,820,608,359,916,548,
292,084,032,785,031,183,830,432,526,645,884,682,976,786,503,727,622,044,486,
918,273,538,575,817,631,793,123,587,975,736,804,419,381,292,992,507,033,551,
035,398,022,248,204,048,683,443,163,849,435,339,125,904,731,361,138,263,405,
135,597,946,856,210,715,807,729,909,759,394,444,779,763,997,808,834,919,149,
646,431,084,748,440,493,211,586,423,372,579,004,332,629,583,646,971,594,342,
042,731,244,029,754,125,716,175,880,086,515,246,768,267,736,136,996,203,205,
457,609,752,984,411,960,917,978,767,891,228,949,270,909,583,607,446,518,938,
115,156,656,127,253,851,480,317,011,157,933,643,960,896,186,859,603,353,753,
051,052,688,824,731,617,175,936,040,180,533,883,348,510,712,278,577,869,038,
475,996,533,168,495,581,231,567,729,987,928,182,343,403,476,377,809,109,108,
434,962,724,107,103,174,155,753,336,244,047,785,123,775,014,618,704,205,858,
268,346,197,765,104,285,457,531,724,748,472,687,341,715,325,503,039,463,217,
647,935,528,540,449,902,082,217,621,806,793,381,613,913,987,495,768,538,659,
412,509,856,280,912,369,932,353,707,210,502,278,520,754,832,359,891,655,685,
313,519,404,509,932,780,034,782,044,065,194,582,992,228,611,022,513,182,166,
456,418,969,671,356,185,602,744,772,203,693,426,999,113,262,580,815,455,479,
528,754,576,059,086,322,718,065,137,831,362,232,191,556,857,885,684,027,454,
302,859,902,352,159,747,367,276,016,281,645,720,978,893,206,796,968,715,744,
164,092,936,511,405,888,652,869,941,991,655,069,598,136,693,242,957,459,435,
478,328,116,250,441,261,880,977,136,309,591,835,161,685,397,481,351,451,044,
707,674,490,863,530,106,798,109,653,961,250,585,244,525,493,834,430,183,471,
411,805,025,578,560,494,499,051,782,996,456,026,801,175,802,628,792,862,016,
895,339,639,706,762,822,852,227,018,025,915,340,417,327,420,404,608,043,223,
919,234,559,231,514,500,378,937,959,229,785,176,785,843,865,898,348,514,367,
031,444,516,062,304,153,055,863,587,047,037,190,806,953,755,351,001,530,930,
204,093,008,034,991,106,400,755,123,561,285,835,999,878,656,130,623,959,451,
014,334,775,448,611,661,683,670,436,035,321,176,701,565,805,497,393,981,473,
435,372,594,671,054,551,108,429,434,523,522,115,935,294,337,809,242,441,386,
720,741,369,868,498,809,462,649,865,707,052,559,120,033,599,075,003,139,080,
152,131,568,495,799,123,597,037,677,802,658,906,683,478,428,817,118,100,880,
825,551,457,044,256,771,705,592,114,161,034,902,209,900,779,823,429,251,434,
851,564,643,277,357,704,083,312,339,344,790,243,934,512,629,984,184,108,936,
081,571,430,549,878,665,530,064,067,808,824,419,010,881,756,517,769,588,185,
941,845,569,857,690,962,852,980,136,683,143,888,939,430,362,212,721,988,580,
208,162,023,073,744,412,232,454,393,609,841,896,260,188,019,055,905,073,477,
652,654,943,355,853,176,893,813,847,075,943,032,054,041,018,744,093,437,449,
182,754,907,592,010,476,459,354,345,821,088,209,148,657,527,455,056,873,094,
595,770,834,906,613,754,846,256,754,932,573,739,670,435,901,040,048,408,219,
390,757,831,292,911,886,843,819,018,447,241,429,290,319,969,298,885,121,700,
998,054,426,669,902,999,345,897,504,759,034,641,951,248,871,111,179,137,565,
435,365,856,803,038,336,500,645,742,247,407,806,168,927,694,979,224,920,777,
052,040,338,625,468,337,301,974,992,841,453,456,624,607,609,763,339,207,426,
312,988,795,666,543,601,500,238,925,577,898,281,078,148,319,232,087,300,208,
599,755,630,221,486,113,330,109,577,418,686,904,567,118,550,113,925,313,780,
027,400,640,410,466,641,139,996,515,933,649,274,986,630,626,325,087,807,753,
825,280,364,903,610,258,040,380,106,893,874,390,527,703,545,362,440,267,542,
337,560,317,754,669,319,419,086,843,160,250,987,626,484,527,588,205,419,425,
483,341,265,728,537,947,968,346,222,918,725,436,658,406,377,349,928,659,798,
103,428,598,630,303,846,337,379,588,326,566,035,929,786,936,277,586,088,475,
946,679,477,728,430,868,629,101,025,927,272,722,853,265,361,484,660,148,304,
733,307,425,682,037,901,393,597,574,304,966,395,480,536,462,753,660,290,311,
194,487,087,266,271,595,599,647,236,580,649,315,128,265,639,434,238,977,963,
082,279,798,888,029,192,731,517,554,001,002,837,384,526,815,618,159,141,829,
720,427,182,287,375,427,185,453,938,963,601,202,181,517,869,886,052,184,018,
350,206,966,923,456,130,793,789,147,800,064,427,929,646,367,462,925,146,635,
959,611,114,293,839,107,744,393,409,518,513,373,026,904,168,122,174,582,654,
814,911,228,105,507,051,369,341,725,707,898,558,700,191,412,081,897,810,687,
238,663,842,594,499,826,072,919,921,999,358,501,416,641,630,010,002,697,734,
316,407,133,398,328,524,170,869,746,960,261,373,311,979,166,819,921,077,315,
892,730,763,346,907,030,422,766,587,687,147,759,112,346,468,182,132,215,064,
253,673,390,128,797,677,504,818,330,527,193,365,561,635,730,826,515,291,797,
433,381,276,875,585,516,469,368,977,746,741,393,139,168,054,302,480,232,115,
368,573,972,048,551,738,607,164,009,723,931,012,824,701,379,954,216,095,361,
470,142,670,626,725,392,384,775,108,572,144,565,048,835,304,463,284,338,555,
320,027,932,370,048,558,746,966,189,815,682,650,139,439,064,839,488,199,507,
920,250,866,471,343,033,024,993,192,796,506,692,016,455,592,136,966,836,493,
545,638,315,507,569,417,194,186,316,291,550,903,767,267,779,733,255,203,322,
998,217,524,833,632,057,264,506,343,287,638,351,861,948,407,993,018,930,657,
251,515,369,038,723,540,429,230,378,003,186,992,155,536,021,109,024,626,276,
412,621,321,096,479,097,316,962,405,339,959,856,692,944,373,512,258,923,795,
001,439,204,766,484,006,630,847,886,258,647,043,479,224,261,202,188,937,119,
988,973,104,001,602,059,570,735,687,311,841,068,229,510,649,070,782,469,163,
951,197,766,496,538,107,705,667,989,574,201,133,733,888,078,312,711,499,660,
815,373,019,325,246,382,854,190,989,352,133,453,035,850,949,698,831,719,924,
499,194,988,359,717,266,836,469,840,746,047,118,496,451,944,765,197,477,845,
987,897,621,971,387,900,126,438,528,537,370,299,157,640,194,224,860,679,992,
345,700,899,125,908,875,961,219,643,831,938,350,877,038,076,497,366,789,317,
504,200,908,205,170,725,320,026,623,878,603,221,340,019,688,157,861,824,633,
840,937,110,424,187,997,076,730,737,784,012,645,062,960,791,989,778,891,111,
119,842,265,160,988,128,978,644,770,335,634,640,870,131,801,426,528,412,705,
562,236,453,687,072,827,945,870,058,999,895,047,964,525,436,519,322,870,357,
588,451,937,868,080,355,127,860,740,062,662,294,571,148,508,078,093,527,953,
970,609,766,461,515,179,069,995,480,439,075,389,868,076,058,174,815,406,876,
570,679,945,059,060,944,772,717,226,066,876,373,740,565,600,553,431,581,536,
947,074,456,412,036,685,198,177,303,720,008,985,389,721,437,014,557,262,307,
021,906,409,448,762,682,031,167,276,416,951,380,481,570,597,033,451,381,009,
834,444,827,344,049,907,091,127,480,787,327,087,668,898,676,303,693,039,451,
249,640,530,036,746,079,600,621,185,793,234,452,011,077,483,380,585,666,237,
901,313,588,329,046,231,514,401,448,445,330,951,173,378,765,928,328,525,239,
469,407,421,971,318,533,551,291,903,650,775,402,408,318,582,020,290,944,352,
762,776,582,135,106,784,860,569,495,006,720,442,786,448,112,262,643,794,427,
305,643,598,866,605,536,050,113,418,766,926,019,439,734,083,499,459,547,663,
385,526,043,550,812,681,751,047,494,593,597,301,450,542,343,974,141,562,684,
282,858,383,728,962,758,495,307,437,839,628,998,848,160,636,344,789,826,785,
672,676,971,551,387,302,855,158,541,188,505,571,039,667,685,289,629,493,091,
083,758,727,337,395,964,281,234,573,987,449,040,132,943,611,619,053,887,046,
263,390,586,960,451,150,256,661,396,265,974,521,521,658,642,782,997,268,889,
417,957,967,261,878,841,458,425,066,631,008,371,935,851,932,853,147,635,023,
662,662,995,030,292,308,820,481,719,920,281,232,707,631,809,828,574,369,199,
311,481,193,974,805,368,509,232,567,882,538,940,743,746,324,662,253,230,617,
548,552,753,379,053,840,796,303,419,035,258,613,320,605,884,863,030,441,514,
111,035,665,095,271,933,351,921,106,601,384,682,158,434,360,064,445,328,566,
575,026,524,195,269,230,388,800,742,094,556,518,597,347,777,217,085,222,910,
561,809,020,972,360,989,224,440,570,587,187,668,363,519,219,926,448,503,019,
374,688,053,792,659,381,501,065,973,022,699,328,061,420,228,611,473,824,149,
575,213,765,994,610,240,201,001,844,850,867,683,380,793,790,057,343,293,820,
134,166,540,502,564,534,095,710,174,476,521,321,884,091,051,773,712,392,176,
987,281,789,329,469,913,295,508,244,068,278,388,737,904,700,168,720,601,830,
367,373,182,921,046,067,319,075,509,740,412,610,475,283,234,474,574,384,872,
945,631,156,280,452,609,088,276,963,757,583,292,724,990,253,159,531,115,590,
068,642,107,457,600,263,278,103,342,672,863,879,343,220,323,518,391,925,317,
179,627,745,481,154,933,161,982,073,865,863,916,808,228,964,359,876,279,514,
820,129,363,087,583,677,797,165,679,983,479,709,980,221,439,519,834,957,123,
045,952,778,757,176,785,350,993,681,408,220,813,216,716,756,115,775,292,480,
424,027,852,923,830,016,606,733,036,449,910,043,891,905,701,568,750,594,959,
571,803,996,693,751,018,444,886,158,794,755,148,393,159,880,022,329,243,796,
237,122,295,716,702,626,725,892,713,621,777,640,270,763,335,790,018,993,646,
091,706,147,140,096,474,014,417,113,621,416,013,749,785,767,430,454,493,512,
917,085,571,210,760,100,020,075,276,316,015,228,984,916,013,234,427,999,715,
142,535,492,167,344,138,420,180,375,329,976,232,164,623,345,584,830,478,684,
798,850,473,384,190,985,197,197,664,253,916,719,117,596,814,993,774,643,227,
583,438,046,634,933,885,375,160,599,633,936,722,908,863,940,994,662,006,387,
754,232,398,912,636,063,418,442,932,790,128,326,026,557,746,433,917,992,027,
353,000,245,303,192,530,992,417,545,880,188,302,945,866,063,496,466,470,627,
071,943,111,880,148,905,970,608,795,766,201,736,067,096,479,298,081,196,153,
357,279,639,407,014,183,905,361,504,792,036,049,506,743,635,681,443,972,765,
767,510,353,045,429,028,146,148,427,051,315,318,107,926,731,478,670,419,022,
964,083,082,841,494,753,734,553,696,523,953,024,838,480,297,618,512,880,364,
151,278,635,612,082,895,291,186,539,626,130,874,437,811,169,966,806,286,938,
234,022,204,570,664,763,284,811,396,409,279,594,930,808,493,079,284,441,650,
841,644,523,482,453,599,393,682,792,859,065,573,081,128,495,553,952,733,591,
748,603,151,726,621,301,502,676,577,038,244,580,320,228,001,056,918,160,464,
418,796,065,634,763,280,548,913,943,347,353,033,773,866,074,582,676,415,376,
323,179,030,756,906,776,343,285,461,186,127,050,658,357,625,248,523,725,244,
720,972,925,973,096,649,331,906,065,353,704,459,094,387,138,353,992,907,821,
178,643,252,484,518,347,134,503,366,458,644,459,868,047,190,282,953,801,629,
921,050,204,894,525,934,998,987,291,206,357,114,830,196,074,749,443,451,200,
991,157,681,969,259,427,290,676,530,800,093,135,320,389,126,395,808,902,685,
344,465,990,221,786,725,358,700,906,777,320,555,154,347,544,353,453,778,685,
545,257,768,089,649,112,808,300,053,195,167,757,698,871,870,919,198,410,923,
160,503,806,121,698,079,951,565,489,374,778,404,573,194,158,058,725,588,905,
765,398,289,113,502,445,936,161,077,541,481,759,387,445,455,893,228,828,135,
602,273,013,932,208,270,538,365,488,095,782,990,407,253,091,463,630,725,583,
312,622,671,763,402,093,562,546,667,251,731,412,618,815,605,981,923,249,315,
273,855,660,098,553,501,452,263,086,855,703,273,948,717,547,380,833,813,114,
929,783,626,499,933,229,191,775,071,838,818,492,224,735,349,564,218,814,225,
501,313,237,096,114,333,403,746,767,892,287,246,555,588,443,313,242,833,774,
209,231,890,994,065,344,453,338,294,866,762,384,198,145,739,295,904,836,985,
272,949,547,929,161,182,207,127,586,326,042,956,150,055,069,134,525,040,032,
855,213,294,061,551,773,271,731,485,764,448,638,169,799,282,069,275,335,583,
821,536,522,258,962,225,943,220,275,763,566,045,600,889,229,032,104,156,159,
184,915,775,347,144,579,675,627,329,779,268,647,386,995,200,505,818,714,213,
046,401,155,642,502,908,874,938,559,944,471,027,212,441,339,443,299,979,959,
932,121,305,521,734,426,071,878,491,215,562,716,948,761,829,154,555,158,242,
434,427,438,451,425,393,271,008,448,001,794,488,750,789,242,440,193,587,317,
976,859,988,446,467,098,012,431,529,994,583,663,061,335,435,381,670,504,405,
459,440,030,423,117,675,794,182,085,705,315,651,849,250,832,099,664,136,643,
704,153,981,931,164,732,787,238,863,139,016,439,979,131,970,458,739,369,107,
367,649,024,456,082,672,014,573,644,476,330,931,304,975,730,190,741,273,334,
517,360,947,043,847,105,610,510,054,260,077,639,029,712,389,794,264,333,753,
473,959,998,954,029,799,212,048,240,582,399,246,558,219,980,065,704,979,661,
929,158,519,068,028,428,252,265,996,670,843,564,815,857,780,182,500,620,731,
954,628,226,499,913,801,869,117,994,355,403,340,947,170,342,992,756,331,959,
968,506,291,823,424,736,636,130,487,871,176,031,236,608,915,743,988,510,205,
558,501,717,623,970,539,289,902,788,429,926,833,730,272,680,020,621,180,931,
765,934,625,635,611,596,797,385,820,574,171,209,289,511,460,244,961,640,354,
229,148,731,812,033,291,225,579,104,412,928,081,892,901,753,252,293,754,286,
461,572,445,325,853,136,434,205,654,310,946,670,522,602,549,100,902,773,530,
823,415,072,628,535,825,466,222,825,202,923,172,030,422,972,300,674,934,361,
070,825,367,210,129,131,463,100,702,666,712,462,483,918,968,339,510,045,653,
384,405,555,909,571,856,025,623,970,861,036,592,756,080,228,107,090,293,098,
426,363,592,668,522,410,499,805,741,398,084,656,859,276,646,884,531,036,060,
856,252,867,554,205,808,078,810,225,963,985,991,609,982,344,015,908,196,165,
991,547,904,310,117,553,452,162,911,048,038,184,960,727,866,022,636,912,550,
294,731,576,487,294,893,284,715,916,362,907,054,758,402,234,637,460,847,284,
322,349,667,090,348,624,317,997,952,967,716,383,837,850,147,988,136,480,066,
145,884,813,593,140,602,436,049,098,347,850,142,317,618,616,670,922,217,554,
243,371,682,093,234,840,227,887,184,555,202,092,682,302,173,204,669,790,685,
227,789,214,385,085,799,333,709,138,581,439,030,154,927,908,718,324,605,338,
354,702,105,351,679,060,213,533,958,339,338,241,895,473,159,130,449,805,989,
610,765,650,420,674,427,166,155,426,004,449,380,794,743,650,021,593,312,552,
888,988,110,603,820,285,219,991,943,579,855,695,481,705,553,272,142,263,086,
173,680,799,551,386,376,028,362,510,990,603,077,842,609,237,271,531,219,096,
723,924,526,871,043,034,558,816,293,699,599,976,779,870,408,303,259,553,857,
209,773,810,382,649,173,919,860,328,100,651,228,587,702,008,722,628,918,295,
256,469,623,191,960,139,924,628,426,675,592,743,101,793,981,198,465,531,111,
949,423,140,438,748,787,951,083,691,818,742,898,126,351,078,361,465,938,339,
532,012,330,192,083,630,177,090,806,793,209,818,268,653,866,374,336,497,136,
723,417,727,876,739,171,841,851,164,954,198,496,469,946,307,003,625,321,244,
114,146,083,213,186,795,542,517,540,921,834,175,577,843,422,238,364,876,107,
686,293,858,203,541,467,260,989,482,535,294,818,704,278,396,337,182,417,968,
434,595,069,013,654,984,055,934,089,813,049,009,649,748,867,450,633,461,845,
269,958,718,140,006,769,934,605,717,606,258,674,216,267,522,525,497,304,375,
637,018,362,419,165,813,401,933,140,297,829,873,891,945,212,531,536,295,298,
215,916,149,473,951,261,171,790,316,815,022,070,177,556,487,574,888,431,562,
002,161,662,979,447,978,605,871,682,897,796,348,450,114,789,590,600,519,306,
571,052,418,747,290,416,951,308,065,965,953,784,416,820,377,901,201,786,967,
127,656,075,620,695,540,055,451,913,927,364,664,153,315,536,640,167,167,345,
037,606,631,054,950,731,739,149,585,406,179,850,463,951,259,433,462,011,391,
886,906,819,898,413,827,121,863,781,270,305,056,038,055,599,653,541,885,419,
552,431,687,662,023,679,664,003,863,883,292,812,803,069,078,378,682,026,798,
084,087,593,476,839,165,718,592,519,476,461,759,820,039,179,766,766,927,974,
624,219,799,044,017,567,531,085,787,585,663,999,677,619,584,358,357,515,182,
522,172,746,260,075,102,564,093,266,559,790,279,823,811,289,908,613,576,736,
966,285,655,460,665,104,007,594,297,457,818,169,135,883,871,854,510,390,743,
939,687,791,870,282,740,469,620,066,655,972,635,328,692,125,164,008,481,884,
166,592,079,305,586,573,924,313,309,162,151,571,319,479,303,956,254,902,201,
108,952,860,393,223,829,814,441,993,923,286,182,963,497,732,411,264,522,206,
040,682,852,527,077,542,882,560,067,429,916,050,122,033,328,525,660,330,786,
265,230,171,267,092,022,176,698,029,653,320,749,155,807,040,993,043,004,536,
153,761,242,541,700,055,967,260,364,044,772,885,621,360,090,100,367,797,006,
660,775,315,364,579,489,299,336,097,480,212,360,392,144,566,046,980,118,234,
854,014,278,093,009,725,392,670,820,718,710,368,679,503,303,933,249,771,455,
594,993,736,970,281,034,169,525,823,659,516,782,249,880,629,048,979,008,077,
777,652,196,620,295,402,996,859,129,912,149,437,876,453,524,879,714,403,270,
622,776,364,006,073,209,104,309,751,522,009,266,609,861,202,447,385,047,694,
731,490,823,692,599,374,743,754,678,450,591,440,441,736,048,616,687,853,342,
365,304,963,637,465,735,634,025,521,518,691,726,084,018,233,147,668,000,928,
425,464,790,642,641,114,613,687,974,948,104,096,872,239,872,106,204,363,661,
836,174,915,905,963,195,584,994,995,273,824,717,137,629,607,127,658,025,466,
770,711,889,868,345,625,550,298,003,576,652,779,805,102,941,787,633,187,983,
867,581,852,279,767,314,510,369,348,494,382,653,790,498,043,977,054,199,970,
241,136,388,507,240,714,504,326,876,822,827,786,481,803,917,718,220,909,682,
734,854,841,793,281,612,615,323,643,972,159,850,368,057,816,992,467,146,063,
261,530,517,912,970,479,575,307,689,678,894,138,079,754,607,298,054,072,444,
011,263,985,796,261,312,168,995,938,568,112,211,350,310,657,467,638,205,601,
475,011,889,903,300,433,471,167,207,632,587,703,338,448,143,575,898,106,175,
955,258,162,456,741,427,814,366,394,314,256,708,071,286,665,626,444,869,073,
356,230,398,605,657,658,603,710,460,388,074,661,451,677,976,316,601,501,645,
535,953,853,355,419,095,635,171,225,112,747,928,752,976,087,090,102,666,620,
119,585,869,564,462,697,076,523,063,144,315,485,921,266,632,517,342,390,147,
123,405,395,894,358,528,119,896,772,577,558,958,104,183,542,363,221,960,037,
290,372,776,926,952,000,144,757,681,022,431,378,831,173,435,040,366,335,957,
622,969,505,927,442,726,300,660,979,659,681,338,321,929,009,963,855,741,276,
075,445,994,731,459,428,499,061,259,440,263,525,703,689,305,866,906,607,859,
735,180,500,929,091,576,737,117,461,196,597,125,222,466,068,372,500,123,985,
442,100,913,391,931,465,708,313,208,606,383,527,842,514,699,260,242,202,606,
586,266,901,121,834,863,609,493,793,011,119,577,713,222,964,519,173,980,974,
764,018,687,640,061,448,782,944,836,162,750,618,030,303,840,699,554,688,438,
861,646,645,751,082,660,392,751,542,687,553,984,261,016,034,184,210,337,288,
467,305,927,409,958,390,892,804,628,865,736,090,055,069,113,084,500,862,012,
920,156,884,988,009,529,619,590,244,045,645,846,940,269,112,546,846,555,134,
276,214,175,029,905,283,778,440,286,680,871,290,118,706,777,693,475,993,812,
128,339,734,640,833,068,567,997,352,570,259,874,546,436,549,172,920,821,717,
755,791,477,471,350,783,246,905,035,472,918,916,937,510,331,673,616,010,329,
912,557,051,662,944,235,086,133,994,540,027,107,756,280,084,126,672,554,914,
788,745,242,930,119,719,777,023,240,558,093,322,416,747,041,872,584,925,310,
320,453,363,182,210,119,351,079,984,383,723,947,987,610,047,161,721,428,866,
577,195,281,432,363,548,638,103,278,540,268,691,933,695,755,666,922,888,280,
164,822,751,949,995,130,059,202,440,591,962,658,806,229,485,181,331,398,548,
307,924,740,015,181,538,508,039,654,483,623,561,869,735,460,040,938,948,846,
732,944,119,224,376,007,592,646,511,424,938,050,254,393,928,547,035,366,937,
212,893,031,553,904,020,428,690,375,303,980,578,224,626,752,260,017,244,663,
605,600,620,851,037,666,963,103,960,373,788,649,875,550,943,930,483,688,846,
086,555,164,673,834,172,063,367,015,964,243,442,143,700,089,577,082,161,006,
808,539,809,441,612,563,322,628,053,982,002,572,235,053,941,466,254,678,647,
310,063,120,441,161,593,897,136,354,621,581,500,948,220,009,181,422,074,027,
810,640,954,933,708,920,589,407,357,769,301,082,561,429,750,431,262,583,317,
364,279,950,467,173,340,401,984,151,293,333,059,005,215,351,953,429,212,588,
305,628,123,860,587,946,232,333,107,413,411,602,395,611,608,952,558,784,305,
854,305,165,736,513,152,021,722,715,836,107,507,674,361,557,458,594,497,331,
963,978,973,457,464,787,677,611,315,654,920,813,910,728,285,203,571,690,477,
723,628,408,245,912,175,354,929,144,293,645,511,253,329,036,356,571,014,805,
602,467,464,484,130,359,162,721,198,030,198,395,627,404,790,956,597,904,289,
579,223,943,235,617,084,238,862,208,325,918,841,961,560,433,081,403,777,159,
249,248,151,726,855,302,385,591,002,315,989,327,242,648,594,398,770,556,572,
889,627,029,505,745,083,859,183,860,547,045,315,140,241,024,788,641,902,066,
336,960,724,633,665,526,769,149,816,506,395,542,192,783,168,929,197,745,185,
599,942,926,753,977,879,059,497,014,353,165,201,218,457,616,843,231,545,484,
536,463,220,856,605,645,978,611,805,202,286,194,255,987,616,796,638,668,007,
570,097,900,044,574,912,692,258,345,002,831,343,626,416,864,666,396,749,741,
424,560,543,344,894,193,952,322,069,209,748,386,842,097,885,773,102,786,882,
163,167,145,792,071,221,999,716,036,108,177,114,579,622,972,047,862,168,785,
108,394,699,359,182,154,839,403,671,087,054,290,333,713,848,934,843,763,707,
057,275,174,243,909,406,622,930,014,196,076,211,306,514,224,810,019,234,789,
037,759,379,326,250,937,738,067,690,272,255,098,330,777,404,316,988,987,239,
277,075,065,379,099,808,710,150,112,561,994,996,680,678,024,975,470,888,819,
119,744,421,247,988,887,164,874,894,386,018,925,787,140,130,748,087,673,633,
463,672,187,086,094,259,182,647,094,387,704,846,288,569,151,984,350,459,663,
521,751,550,149,536,922,590,532,139,962,440,065,263,668,091,442,277,716,523,
700,314,683,012,150,669,005,256,737,773,155,457,167,491,525,125,154,807,559,
580,326,569,354,975,649,153,055,878,720,338,067,965,673,845,809,161,330,151,
613,715,343,277,745,632,974,762,928,533,373,824,580,528,707,208,010,673,691,
011,062,114,885,436,765,096,712,652,690,734,873,969,800,681,889,284,849,083,
952,868,771,313,529,256,123,530,781,730,383,310,650,872,359,366,828,489,667,
884,028,741,693,266,947,429,302,312,774,530,204,394,321,709,078,042,276,288,
528,651,368,353,323,336,819,865,081,129,790,810,234,599,056,030,056,690,262,
912,348,227,178,320,866,050,291,311,553,300,197,461,233,305,418,899,391,132,
768,646,949,923,641,891,796,399,921,293,386,687,215,055,397,854,077,858,788,
537,145,375,536,146,508,281,042,431,719,809,804,056,046,897,195,318,806,066,
458,636,411,646,609,023,320,242,219,579,432,869,724,696,294,250,758,999,472,
340,686,568,600,898,897,086,605,202,560,526,655,475,253,089,187,235,851,565,
978,691,432,412,273,945,650,399,880,390,842,557,768,543,894,122,464,635,776,
525,740,363,770,160,507,119,874,802,023,509,945,801,597,339,950,123,989,738,
808,545,402,470,558,625,468,470,606,132,914,770,456,571,388,890,719,760,588,
361,924,080,534,195,466,509,087,441,678,442,835,338,826,931,695,748,712,910,
361,345,850,150,268,928,529,877,431,336,003,784,809,255,673,198,139,071,586,
195,135,956,058,236,425,931,116,141,138,350,059,963,594,262,056,419,130,371,
403,913,411,019,882,061,674,202,635,694,863,545,798,023,059,307,320,465,981,
327,327,789,646,410,286,893,225,566,385,276,241,948,356,630,851,367,857,314,
109,096,098,995,623,241,879,776,194,470,563,133,350,524,758,838,735,191,687,
968,136,344,303,162,529,006,001,925,764,525,380,703,011,083,237,913,889,637,
921,908,638,339,912,915,244,204,546,009,235,122,807,060,228,816,003,397,528,
185,674,794,907,628,976,949,701,655,239,996,274,004,181,931,552,808,390,405,
067,806,251,579,797,501,399,872,093,422,991,616,805,080,777,821,664,625,952,
469,669,546,791,708,922,140,720,477,366,044,001,686,152,448,758,939,161,975,
969,740,951,392,090,888,963,284,270,116,293,614,566,591,941,042,527,248,847,
439,104,497,234,054,679,660,847,601,085,635,249,202,329,769,773,419,036,595,
671,311,296,563,359,182,403,009,472,903,238,864,954,081,004,196,374,011,386,
622,864,822,707,393,455,080,927,113,596,974,937,879,459,825,681,157,047,073,
149,236,053,802,890,731,105,103,191,219,914,471,042,169,983,061,354,905,601,
638,469,940,082,919,568,677,350,635,993,422,078,382,996,612,850,406,241,602,
346,185,401,675,443,005,037,328,827,786,833,766,849,655,861,807,595,403,776,
201,664,033,079,577,119,840,283,242,514,716,061,260,311,740,341,007,763,557,
222,579,787,263,544,882,329,453,331,862,785,244,014,761,909,020,555,887,470,
950,100,524,391,663,158,930,809,859,731,618,160,022,863,548,416,753,026,508,
469,630,647,816,096,555,983,846,560,145,596,289,039,439,481,102,613,369,451,
103,149,321,620,294,491,745,036,080,048,214,202,373,793,858,578,990,152,929,
936,089,071,825,296,419,081,120,650,597,981,009,197,031,334,088,388,676,317,
717,860,419,156,343,892,612,868,722,229,204,455,024,909,556,932,285,560,414,
063,827,344,736,351,919,203,049,547,474,201,183,313,483,285,810,104,330,400,
249,042,871,748,598,837,632,690,763,367,965,110,940,482,080,292,781,645,067,
114,620,057,226,076,167,165,459,939,269,177,401,147,944,549,690,782,303,873,
810,693,554,169,914,318,229,428,320,349,505,398,056,612,747,973,353,516,822,
790,796,495,126,974,198,366,471,856,485,457,278,137,518,369,666,260,518,501,
438,696,067,106,118,936,289,497,070,436,722,133,064,035,406,685,923,601,627,
062,113,023,673,027,116,747,739,090,340,922,764,569,057,759,352,830,424,681,
089,627,067,269,968,909,593,831,293,269,588,729,578,904,631,190,516,160,634,
016,857,148,710,591,794,979,920,710,588,041,228,319,105,433,309,409,870,460,
287,088,615,130,500,166,341,005,746,222,927,144,157,932,042,613,146,960,655,
848,206,473,138,405,708,234,552,006,868,311,708,650,007,010,001,926,089,908,
105,649,253,173,473,496,826,184,567,081,968,114,065,748,085,192,788,825,429,
029,532,845,528,912,258,996,653,187,876,207,995,404,060,620,936,838,171,843,
689,832,866,623,718,737,779,753,967,939,572,515,590,047,948,990,132,614,135,
534,242,797,528,055,408,893,675,370,104,882,942,103,879,106,094,615,894,573,
115,921,530,236,723,683,501,171,313,571,023,271,071,465,805,130,670,589,949,
171,274,473,986,237,235,373,483,951,245,496,464,103,006,450,095,043,305,183,
908,222,678,553,604,582,470,719,649,463,367,041,450,851,002,434,534,676,782,
134,514,627,930,961,653,912,559,729,744,152,273,196,357,522,073,578,171,518,
890,741,169,155,036,757,360,397,971,845,480,988,443,428,503,303,255,367,198,
875,905,871,550,105,387,635,878,606,238,385,572,517,271,041,654,436,192,276,
465,575,872,342,378,265,082,021,395,423,520,451,982,764,900,262,567,898,465,
317,306,176,599,641,976,602,210,352,026,682,430,684,343,093,495,191,502,621,
891,597,041,794,426,483,354,532,845,143,908,550,446,386,820,111,165,679,448,
945,150,079,618,309,567,207,494,476,008,870,527,363,796,916,610,402,322,627,
153,641,810,860,942,726,396,849,039,397,137,063,139,971,926,988,600,859,028,
314,909,423,614,519,135,128,554,279,138,234,387,361,070,670,675,485,937,604,
083,574,659,920,206,608,297,461,914,079,744,662,856,978,158,205,721,916,251,
895,471,578,477,403,017,555,582,694,863,745,046,164,277,492,045,655,647,913,
425,154,507,006,948,801,342,395,277,635,763,096,460,013,879,804,948,961,865,
670,174,618,464,332,805,163,490,142,191,581,277,256,094,492,271,293,072,467,
346,345,589,714,826,562,397,124,154,225,001,425,482,489,597,786,019,313,499,
649,007,251,474,016,430,203,900,289,538,150,905,005,528,079,875,657,825,118,
542,892,091,854,136,182,697,651,466,167,054,342,694,490,758,814,941,216,308,
580,924,606,188,593,188,860,529,441,514,815,742,696,961,804,167,266,565,129,
898,107,676,191,708,398,209,495,961,221,716,371,579,830,525,429,827,184,294,
050,594,283,864,431,547,885,563,172,252,875,530,540,674,877,891,350,520,481,
768,399,157,320,125,807,598,097,558,970,877,285,348,113,605,262,538,562,536,
890,315,076,593,079,042,701,767,847,920,960,801,456,495,305,886,301,760,306,
227,250,586,949,801,040,754,578,308,652,091,777,510,595,641,824,128,201,025,
852,700,282,873,409,563,118,666,787,377,024,615,870,011,453,619,433,639,226,
284,176,484,361,326,356,865,741,999,085,147,655,647,734,544,520,114,623,461,
848,193,281,826,175,124,664,107,697,971,567,244,242,625,578,223,621,247,741,
432,357,877,892,124,539,246,878,207,058,333,106,050,911,849,079,244,368,421,
962,048,036,999,609,906,274,691,823,093,441,266,565,079,648,151,411,946,164,
975,407,384,949,403,470,226,342,114,242,235,684,214,801,708,985,855,342,957,
201,146,843,990,581,977,597,098,360,260,549,694,861,300,022,246,545,117,793,
495,332,413,111,054,850,248,800,092,377,935,306,888,279,780,142,044,520,057,
005,760,569,380,751,838,579,210,777,258,636,679,419,501,808,668,604,474,655,
002,361,445,058,366,499,527,259,090,463,759,615,306,156,794,532,709,666,890,
175,528,995,636,400,620,983,101,827,515,784,093,463,217,578,864,314,355,054,
638,584,963,979,744,783,413,917,177,821,334,379,879,651,925,758,043,711,504,
444,882,950,433,691,531,959,457,222,189,817,824,081,863,601,919,468,504,321,
361,237,574,274,486,659,731,497,428,806,623,572,130,804,378,320,189,001,539,
237,045,184,973,280,434,999,550,566,540,344,980,237,771,192,349,702,487,686,
744,056,449,087,323,907,420,770,501,279,069,931,234,283,252,709,882,487,548,
172,682,076,146,037,171,881,661,053,563,928,106,900,045,772,804,123,342,065,
286,542,841,053,635,449,824,066,191,880,745,716,668,659,489,303,957,909,338,
728,377,670,192,988,563,576,449,625,898,446,743,129,393,525,901,934,299,370,
927,501,481,292,562,041,066,433,096,460,264,245,479,178,732,416,920,388,037,
100,496,720,743,147,345,245,703,491,898,535,133,568,182,252,146,091,248,106,
797,676,449,413,773,767,409,718,308,015,117,701,654,443,188,346,431,096,287,
685,150,678,504,052,988,467,624,222,210,696,097,938,795,678,345,387,556,191,
338,772,952,950,916,243,483,320,522,169,817,326,744,514,906,548,368,589,133,
983,240,435,926,625,516,122,697,106,830,538,402,779,619,884,648,746,810,084,
903,824,580,083,980,825,539,934,807,848,528,757,047,498,770,977,212,375,920,
235,399,497,479,280,182,269,347,587,266,904,782,886,879,830,431,045,588,779,
987,184,235,776,415,622,797,370,494,073,551,682,516,989,765,133,679,799,273,
698,768,034,297,932,767,936,522,039,491,502,932,672,130,998,392,268,401,271,
196,358,667,684,943,452,822,697,637,189,770,526,346,399,918,169,012,887,220,
717,258,144,995,027,298,847,164,168,865,857,627,295,922,060,749,173,457,107,
491,407,698,364,217,993,416,013,218,253,288,189,620,518,684,215,224,951,138,
824,161,166,398,419,954,838,216,775,605,637,322,284,149,478,147,758,406,154,
075,910,606,429,507,393,882,955,362,266,935,906,963,092,463,576,824,587,189,
724,598,414,274,537,790,651,002,454,504,697,360,653,524,474,383,439,511,625,
934,928,461,920,078,729,012,829,246,918,291,718,966,704,973,043,923,199,261,
131,083,070,406,498,018,833,383,705,405,781,558,696,205,652,446,957,051,771,
175,168,115,285,763,608,801,911,406,564,470,833,973,687,364,960,905,507,864,
464,900,504,429,622,921,028,413,914,952,249,583,134,117,123,164,028,405,203,
249,177,350,210,554,054,875,919,685,915,783,782,761,239,679,718,303,267,594,
160,549,986,793,374,596,533,134,403,122,467,487,979,702,921,682,068,815,980,
295,262,778,465,153,567,505,204,731,971,283,755,733,530,258,065,741,350,094,
098,121,642,005,459,110,597,387,674,705,103,312,762,669,467,913,316,270,149,
791,972,665,336,742,790,796,280,647,618,210,667,678,040,245,636,839,371,052,
254,993,221,919,818,467,290,103,297,909,413,191,294,893,553,671,534,437,247,
912,182,267,071,284,153,474,851,042,853,270,348,552,547,829,341,478,607,516,
243,514,879,009,716,678,504,120,257,872,583,053,614,440,662,286,727,666,103,
885,223,253,624,299,488,327,849,510,123,755,000,705,239,246,509,194,627,271,
210,664,278,844,198,961,964,559,831,895,028,582,116,984,859,678,565,411,344,
701,318,928,707,978,881,762,784,948,655,123,993,487,901,371,217,471,679,602,
361,323,109,277,599,424,709,194,912,012,102,017,316,083,120,116,116,406,832,
983,652,007,444,752,071,304,851,553,932,505,990,421,195,897,976,144,302,835,
385,544,468,164,230,182,801,288,313,602,317,555,682,304,554,657,943,081,116,
590,561,008,121,798,296,518,963,275,078,491,416,501,590,744,681,535,107,688,
074,844,392,487,970,144,930,228,706,712,449,414,048,977,336,233,837,325,877,
711,694,029,650,534,881,326,367,291,950,292,997,296,623,888,013,016,903,488,
906,573,656,454,147,591,909,238,350,763,183,249,046,387,456,436,144,208,284,
000,981,143,563,776,821,504,911,822,457,501,845,755,794,758,746,347,492,367,
588,836,034,972,737,047,030,136,628,337,798,807,207,273,410,504,409,725,110,
321,598,619,176,676,905,740,561,896,313,608,305,116,520,346,310,113,014,736,
070,894,746,322,665,906,374,009,030,307,841,620,673,166,154,586,583,078,601,
710,999,057,514,632,571,112,272,924,552,976,882,533,403,737,934,918,706,187,
195,032,359,460,712,669,108,073,428,549,625,242,538,903,220,579,985,064,372,
889,014,632,412,707,990,286,651,394,660,921,505,072,549,792,783,143,269,479,
109,225,899,784,826,119,694,573,357,538,200,639,295,584,619,292,001,860,880,
275,175,645,906,783,149,949,597,136,743,488,807,273,720,570,103,718,172,187,
709,968,234,343,013,568,357,040,346,477,595,964,366,249,561,456,630,512,970,
376,936,480,278,712,157,144,834,278,437,308,667,766,550,540,684,821,412,893,
659,994,211,514,006,621,189,583,286,458,492,042,846,415,086,396,847,873,360,
841,162,159,035,365,885,468,203,477,457,770,552,393,834,746,956,068,679,232,
076,381,368,625,090,966,135,346,333,653,301,803,389,717,898,049,135,378,073,
851,401,764,560,954,037,629,921,212,441,384,404,303,716,041,732,255,508,777,
156,473,166,116,413,836,897,358,060,521,201,657,808,888,233,919,442,660,284,
519,827,972,469,874,250,646,339,508,640,163,939,096,896,570,768,191,081,609,
715,154,613,936,911,806,186,989,478,352,065,184,109,187,088,149,924,468,781,
961,061,794,724,718,856,594,381,705,797,176,608,787,997,119,939,782,782,072,
039,802,998,771,508,810,371,035,749,412,915,973,045,773,616,804,952,907,944,
779,164,392,961,575,748,007,832,783,096,662,513,545,462,115,271,191,941,215,
208,728,941,734,758,731,241,330,533,688,799,141,205,183,456,000,146,092,691,
503,745,441,939,714,308,900,926,983,089,917,259,904,206,770,333,182,315,245,
884,483,351,834,713,913,172,506,432,887,282,461,426,575,920,488,219,265,125,
312,608,864,667,273,499,464,233,821,359,991,213,416,399,233,459,506,942,239,
616,855,296,521,385,651,689,422,471,872,840,788,530,159,992,298,290,826,899,
883,346,265,808,608,917,484,902,043,671,634,707,276,964,419,807,175,271,173,
000,559,298,069,215,103,180,440,499,717,548,872,672,700,519,823,516,833,647,
203,915,489,622,877,186,943,914,988,576,202,948,704,131,386,154,986,452,285,
405,526,965,336,621,829,610,062,565,565,746,349,387,363,291,868,227,961,250,
139,875,802,156,543,253,999,587,373,437,482,000,178,845,955,030,606,864,033,
906,190,308,314,631,681,995,674,312,695,902,230,070,543,621,738,693,445,566,
085,871,203,573,364,613,680,703,474,808,634,300,986,382,350,054,376,961,907,
802,340,096,360,748,401,798,457,704,992,098,219,911,512,781,169,600,610,868,
373,109,816,508,581,562,068,084,416,804,920,586,578,285,137,991,249,383,137,
811,005,628,479,071,399,576,701,294,599,813,520,999,283,676,018,062,761,639,
355,588,575,099,805,965,989,728,290,735,959,283,522,423,476,492,459,825,783,
356,677,452,449,003,978,479,185,125,806,921,233,102,385,356,349,755,091,012,
313,331,709,216,064,254,096,062,107,516,131,419,857,348,288,775,603,433,678,
566,909,169,623,391,941,646,238,185,534,824,225,554,706,259,129,013,485,241,
278,919,456,162,087,090,477,071,809,763,403,719,838,044,238,919,465,674,837,
214,925,481,652,656,869,922,302,365,851,321,675,452,413,142,440,069,581,346,
296,201,580,641,172,253,544,266,777,802,914,893,412,680,836,362,755,259,223,
600,167,826,696,013,219,594,023,465,631,466,260,076,856,634,285,259,162,614,
019,237,013,841,685,361,626,175,113,764,151,899,324,399,486,003,399,739,156,
376,713,879,752,877,384,249,980,910,231,289,357,265,349,036,912,984,178,602,
127,514,499,466,000,395,815,483,319,589,045,937,689,176,380,677,629,083,248,
646,546,101,038,563,759,664,243,116,303,287,315,949,821,724,500,913,245,940,
402,914,702,338,422,524,123,840,360,651,704,196,108,216,037,074,095,959,932,
643,108,350,145,397,539,255,850,817,426,783,238,433,806,182,586,789,178,174,
858,522,126,820,843,454,157,365,904,609,613,702,986,152,849,192,823,578,305,
613,754,795,401,687,661,966,274,950,966,927,799,887,707,202,542,330,421,265,
756,409,090,255,355,770,965,762,963,777,684,404,658,815,218,282,504,151,469,
460,092,573,290,041,071,585,257,056,343,217,662,876,945,281,960,050,862,037,
004,581,703,882,580,973,294,055,571,413,142,535,542,382,991,812,345,623,341,
001,947,867,143,009,983,852,268,637,408,736,301,267,300,033,663,290,909,609,
980,990,100,605,485,001,084,707,987,671,017,356,370,625,514,966,393,787,787,
055,797,362,583,951,210,481,668,072,683,601,593,657,213,940,310,797,320,842,
334,021,915,078,920,403,319,804,615,343,834,268,226,152,047,672,272,909,345,
785,248,718,197,934,784,827,019,701,834,158,239,089,443,735,496,454,459,182,
996,008,764,658,558,651,923,285,181,589,966,273,051,358,034,511,909,611,564,
437,818,249,546,802,640,732,495,579,152,445,605,190,630,692,399,544,601,061,
512,516,801,287,356,192,208,298,427,325,303,938,436,501,895,876,925,757,434,
914,686,081,187,038,145,885,250,766,426,279,164,047,285,920,183,807,016,577,
541,308,250,122,099,500,998,072,724,864,820,342,539,526,119,363,149,140,112,
369,626,122,134,832,734,427,442,691,345,690,213,027,527,629,220,143,731,712,
622,696,125,170,627,016,077,493,805,397,597,994,216,408,666,011,149,280,260,
788,023,860,197,621,857,758,362,609,065,896,008,749,715,270,589,638,246,275,
321,570,520,662,848,278,910,115,296,568,368,529,703,138,943,319,942,899,312,
805,545,752,050,829,237,679,314,171,755,506,080,812,407,294,326,965,559,315,
168,991,397,311,204,000,451,817,548,673,037,556,340,975,877,968,735,973,450,
394,861,656,414,041,376,718,234,814,521,356,235,310,612,061,673,766,937,624,
482,976,950,071,423,938,493,166,744,211,483,231,682,376,849,336,186,085,507,
691,043,399,586,241,549,555,471,522,385,810,164,545,457,427,398,232,144,230,
039,422,813,252,879,412,951,986,904,567,195,650,053,339,600,953,406,476,969,
205,819,603,834,997,289,379,373,741,718,352,587,755,790,090,572,486,233,984,
436,028,000,634,725,594,788,701,059,886,985,020,862,936,076,652,820,903,617,
792,454,891,561,219,386,399,282,076,733,434,379,132,670,967,487,710,281,747,
584,089,753,872,335,577,107,066,673,958,049,214,273,297,768,374,936,421,206,
752,228,250,622,995,946,645,277,937,181,633,768,182,918,992,876,257,042,076,
392,589,844,942,865,529,126,765,831,884,361,579,103,470,379,985,029,771,638,
640,594,624,846,475,763,358,901,426,868,356,314,786,544,276,580,603,245,274,
325,835,798,814,083,055,188,393,176,785,349,063,322,467,624,324,999,333,728,
553,834,376,244,295,718,594,727,948,650,215,632,281,314,028,226,152,824,932,
405,891,490,016,063,088,487,448,718,751,512,639,698,366,620,882,489,646,536,
886,860,453,802,673,318,344,297,565,620,787,375,134,096,817,724,267,791,338,
986,004,360,636,791,207,789,508,836,576,424,019,918,532,503,721,732,689,330,
682,929,806,610,902,258,453,844,338,166,068,680,980,317,629,564,750,813,096,
592,367,242,526,316,433,570,786,307,657,987,841,706,670,850,804,327,999,980,
169,555,362,678,463,202,711,156,667,960,636,003,034,288,704,799,573,543,422,
450,849,694,657,764,058,876,182,997,881,722,212,915,750,908,735,085,365,736,
930,541,751,696,412,881,235,877,831,041,342,036,036,465,494,560,526,271,774,
119,129,601,302,425,941,513,682,220,505,966,063,463,966,626,595,564,316,759,
504,610,242,854,362,810,290,627,767,033,789,624,264,392,811,130,150,777,066,
661,509,062,367,349,109,159,988,806,562,372,797,998,885,268,965,295,557,791,
969,396,184,085,777,143,020,802,210,611,972,517,920,623,322,010,633,582,768,
244,448,972,185,222,981,395,540,108,044,264,693,978,707,337,125,405,201,355,
500,912,141,680,015,111,756,598,444,912,463,975,792,165,468,738,443,648,779,
747,784,727,681,326,913,108,852,755,884,606,116,993,050,095,548,440,777,139,
301,935,445,803,068,770,094,354,112,314,231,665,639,830,424,490,776,416,755,
323,646,328,017,158,495,908,244,912,628,025,349,733,018,083,558,011,871,274,
079,949,139,484,358,398,513,481,194,383,883,751,959,751,657,346,764,439,847,
930,074,385,599,374,063,426,685,694,842,324,660,382,863,697,870,617,606,151,
595,734,454,971,269,072,947,064,967,100,160,425,583,491,138,565,946,778,219,
506,934,730,244,965,739,124,635,048,458,693,251,165,839,791,169,364,502,357,
411,796,494,307,761,527,531,516,675,272,687,128,068,912,244,165,424,714,502,
896,908,852,576,608,982,756,590,695,390,409,074,161,093,591,189,293,648,066,
713,880,021,249,103,663,858,821,222,497,347,403,389,112,561,611,666,779,333,
250,949,733,123,585,200,871,035,736,947,990,051,570,774,398,862,879,170,082,
009,534,315,144,842,411,261,360,306,712,248,135,891,898,918,490,832,645,348,
527,748,096,953,312,319,658,924,868,346,803,313,574,301,192,574,726,322,289,
578,010,182,124,767,433,866,341,417,812,929,432,950,931,835,218,885,746,564,
488,591,643,421,494,458,080,467,760,093,280,208,035,352,059,479,970,945,188,
733,737,549,588,823,406,161,519,351,914,782,178,140,549,375,676,839,973,802,
346,191,630,175,341,105,008,607,139,930,689,368,208,994,640,294,992,648,055,
399,895,878,959,037,972,752,458,811,064,969,428,845,038,194,298,724,940,758,
699,841,862,012,299,239,206,028,956,405,535,074,300,933,570,095,400,190,496,
808,473,863,545,079,934,455,966,140,596,503,915,639,530,887,862,348,649,239,
189,011,510,741,911,068,633,574,317,083,716,340,894,315,364,010,363,216,035,
008,784,849,103,145,290,496,274,139,866,736,267,861,454,087,975,395,987,742,
838,119,287,169,415,209,058,169,224,473,619,631,430,709,271,679,651,144,314,
378,755,865,238,725,362,019,277,383,039,072,006,454,873,118,345,429,820,884,
042,841,362,427,976,349,216,124,341,515,283,187,471,778,284,460,380,424,124,
725,399,675,174,277,346,966,026,821,476,885,570,726,554,528,030,474,822,792,
977,446,079,852,511,365,051,158,502,286,339,326,555,748,359,856,615,257,667,
175,483,627,839,791,867,158,510,145,053,944,076,947,346,401,079,358,013,054,
074,622,193,790,412,884,688,871,345,510,012,917,597,310,791,090,299,846,848,
100,021,566,705,496,694,051,670,618,359,626,841,312,142,542,241,207,830,851,
083,131,366,916,417,031,817,655,720,229,518,173,826,801,021,457,954,815,646,
399,054,953,099,167,950,843,243,410,783,002,801,654,495,866,608,061,067,240,
456,156,338,932,266,663,266,403,595,726,997,406,400,156,526,850,010,069,831,
903,855,460,554,679,829,458,147,859,151,870,487,944,535,479,598,243,817,618,
855,277,363,788,020,968,799,661,215,490,735,777,006,645,825,308,839,883,244,
596,705,384,019,204,331,333,950,703,138,615,614,587,598,325,186,165,810,208,
321,215,690,241,563,115,651,180,020,929,126,142,596,120,964,306,702,753,644,
139,477,670,268,945,082,614,199,900,442,101,098,610,624,281,380,367,476,214,
527,379,783,594,431,733,546,691,922,975,600,715,900,081,267,977,144,013,007,
811,852,110,061,300,180,155,142,571,898,216,165,939,707,744,342,578,051,862,
957,261,534,128,476,485,156,532,947,340,712,393,388,908,042,534,529,052,667,
240,572,108,851,395,333,316,999,510,133,822,804,200,438,778,634,713,413,173,
382,789,580,128,249,328,124,951,825,080,148,987,097,584,080,629,504,026,515,
276,860,715,278,114,245,445,769,211,775,788,177,746,974,653,494,539,179,441,
696,398,487,369,623,574,701,464,578,591,251,923,646,028,517,104,731,176,728,
778,968,718,929,801,143,566,620,367,700,147,048,701,480,929,608,896,036,992,
148,992,593,869,179,280,287,092,846,773,950,961,594,417,526,767,799,997,755,
883,566,875,536,325,431,438,951,775,674,728,324,346,731,005,279,541,909,614,
679,773,435,111,852,589,211,808,664,869,260,484,983,109,204,934,222,235,096,
386,167,903,289,904,886,297,004,472,523,529,809,139,676,426,521,472,083,073,
052,646,933,891,811,332,673,594,039,242,322,854,504,923,106,430,140,427,767,
960,756,353,639,023,831,055,637,841,781,240,504,197,196,132,275,495,867,784,
742,464,554,520,718,285,840,178,036,993,053,003,918,910,981,853,788,487,575,
111,398,157,618,115,675,748,508,253,367,343,191,340,077,705,837,193,634,932,
648,301,681,863,156,257,964,846,069,448,864,546,997,615,855,752,440,081,825,
761,200,887,657,014,621,028,983,277,197,068,455,982,781,259,978,989,467,816,
751,825,559,255,459,085,122,490,753,636,970,108,150,257,971,359,816,891,079,
005,441,107,428,094,956,776,652,614,718,306,271,279,203,258,854,841,987,600,
412,575,980,702,140,211,878,606,346,599,962,987,041,590,343,178,327,933,902,
281,961,660,396,916,168,947,853,096,359,030,328,322,341,584,992,706,764,873,
528,619,241,913,422,337,924,151,657,783,680,744,883,151,306,845,485,727,160,
797,335,102,595,928,019,167,409,517,390,089,001,435,263,708,460,749,264,970,
762,467,256,513,386,072,196,815,319,441,692,628,626,513,134,993,871,768,393,
321,302,724,582,588,197,379,105,386,752,070,111,259,870,890,964,584,589,523,
813,480,394,095,694,428,543,511,191,766,683,767,403,992,434,869,659,961,561,
418,239,319,873,355,964,122,855,514,106,744,581,427,098,460,967,101,583,265,
231,537,977,743,999,075,307,061,822,527,187,749,621,458,053,227,308,033,791,
677,894,789,260,354,180,451,294,998,136,091,701,872,231,471,317,574,756,582,
287,939,372,777,430,088,227,769,428,441,185,247,771,379,656,866,334,301,940,
186,087,449,085,462,591,432,319,264,401,539,643,593,474,384,700,478,064,150,
494,398,035,431,691,110,967,625,167,357,549,509,808,807,786,113,235,096,705,
355,388,421,939,597,619,816,264,415,470,931,559,159,648,623,368,900,957,147,
990,205,721,725,762,186,994,202,975,656,383,765,669,333,348,368,486,476,306,
238,389,487,557,231,874,433,255,042,720,550,750,816,836,620,487,921,456,040,
008,735,961,622,967,836,310,430,189,148,060,555,375,175,394,997,212,620,248,
251,056,933,037,601,971,440,562,759,995,144,963,720,934,111,589,606,326,280,
824,770,751,345,606,555,188,274,042,649,628,415,216,089,967,942,585,494,218,
357,842,534,960,771,024,262,202,356,959,395,710,706,821,584,077,983,127,974,
218,056,038,764,582,246,677,952,197,432,964,760,025,197,656,786,527,393,880,
824,360,560,829,675,070,011,051,968,035,464,366,208,706,699,161,746,346,099,
103,980,564,325,812,469,617,297,648,685,377,314,085,780,700,618,112,663,833,
168,202,420,399,675,092,030,678,018,277,065,821,870,376,639,086,082,796,905,
903,215,511,004,668,904,728,446,764,772,989,981,952,757,915,009,935,180,940,
716,788,771,114,602,200,318,186,846,015,333,093,433,051,090,591,371,445,234,
558,325,920,105,210,432,879,326,393,129,706,603,393,532,586,666,961,377,300,
395,107,768,178,461,519,866,082,099,215,442,645,054,773,577,667,277,633,101,
629,474,160,009,878,148,852,696,340,324,657,935,039,679,455,765,402,988,894,
068,449,115,558,480,737,499,334,757,995,804,931,349,731,823,230,550,897,550,
516,300,925,564,559,596,425,841,718,152,039,149,081,345,349,171,275,564,663,
848,170,885,004,577,450,549,156,975,354,062,813,439,101,875,249,677,550,171,
899,001,954,343,039,845,233,267,883,849,029,677,271,994,872,355,348,213,035,
240,828,284,828,091,120,257,255,034,782,238,875,100,903,540,872,660,001,931,
032,861,071,694,534,831,267,993,882,589,681,612,504,520,243,321,455,371,950,
501,303,390,699,394,472,238,149,044,124,178,291,282,597,848,723,307,944,831,
461,716,057,428,618,526,905,239,531,663,065,113,190,888,680,907,332,008,268,
121,234,619,385,726,597,370,625,320,159,330,259,099,755,457,325,825,834,890,
747,746,015,927,347,588,308,970,394,720,137,633,918,936,256,640,050,029,729,
196,293,521,923,553,717,906,002,400,664,744,428,512,396,941,077,480,850,248,
934,852,853,630,428,390,918,593,012,770,894,182,698,156,284,741,939,872,547,
350,790,020,093,812,936,861,299,739,117,265,159,563,561,939,070,700,704,381,
418,613,729,565,671,642,897,853,256,372,686,309,817,317,304,399,455,704,960,
923,834,158,717,371,077,777,642,965,115,901,968,874,374,805,524,377,661,095,
671,287,194,397,439,109,156,287,316,578,153,550,794,672,725,067,862,740,507,
969,746,965,007,338,409,970,365,115,018,624,084,817,756,132,318,760,014,271,
848,659,888,092,272,231,189,621,490,768,293,378,368,181,360,591,667,673,021,
225,326,679,304,944,570,569,344,514,377,165,664,471,648,597,408,220,713,621,
607,572,548,329,313,006,713,917,140,673,778,513,277,855,213,647,235,867,671,
644,463,754,112,701,396,719,121,025,760,084,802,559,506,320,242,347,152,128,
899,053,494,120,814,615,912,014,463,842,832,588,862,405,525,195,917,881,991,
200,884,175,902,271,162,562,486,526,416,871,399,441,700,068,510,023,383,621,
487,984,194,474,921,779,979,173,521,477,234,860,986,341,937,821,055,081,102,
828,858,264,771,988,016,931,013,188,863,108,294,121,915,905,575,779,101,803,
878,692,319,423,289,734,129,225,242,619,647,976,025,265,395,667,726,338,700,
852,855,347,525,069,171,422,018,499,919,895,310,120,363,269,432,380,517,052,
954,073,649,214,498,312,695,137,392,445,716,507,568,780,868,440,312,950,030,
772,034,277,774,974,501,468,508,686,389,807,301,184,735,289,791,501,519,699,
135,151,713,496,708,434,509,143,653,155,621,707,271,040,345,436,924,958,743,
476,851,099,008,452,685,548,620,827,889,968,166,144,938,755,805,166,161,013,
462,752,908,910,457,549,972,453,482,600,470,007,957,802,228,775,680,185,925,
740,675,142,436,619,456,296,822,160,720,041,695,936,826,928,939,306,101,195,
267,738,693,691,468,050,215,338,204,411,353,985,343,620,690,428,956,671,402,
990,763,904,682,178,369,565,795,608,036,876,642,918,204,471,194,205,196,064,
237,835,433,822,951,379,604,273,528,221,782,172,860,132,137,850,354,967,227,
599,352,717,023,513,435,861,440,754,020,782,763,321,622,347,787,757,065,857,
504,093,959,155,017,381,374,622,057,378,838,008,201,021,302,697,501,336,582,
016,181,184,607,977,147,935,218,788,384,645,799,064,694,438,262,680,651,540,
527,647,454,725,371,699,471,721,576,382,238,849,297,464,953,855,369,458,187,
242,434,401,642,870,304,821,745,722,749,063,432,574,377,833,784,664,437,432,
487,912,974,461,171,715,842,682,978,041,994,759,958,142,461,354,218,906,400,
235,978,664,281,859,080,789,658,971,107,031,344,031,134,770,566,644,169,569,
766,649,886,563,705,811,025,144,023,059,050,579,318,842,147,683,272,174,986,
302,092,386,413,794,100,508,176,449,963,409,859,505,512,624,247,955,237,619,
165,071,891,297,590,954,348,423,984,633,478,426,673,702,829,465,463,197,535,
915,621,058,360,117,758,357,419,456,215,616,080,803,168,583,939,528,729,614,
051,909,746,947,189,099,784,262,750,394,863,932,793,497,578,251,041,505,301,
765,866,753,994,883,531,845,259,136,194,822,314,650,944,359,463,978,881,837,
091,275,216,148,200,997,302,908,904,453,672,235,072,635,000,778,512,718,335,
233,200,852,972,613,778,848,937,925,530,662,287,660,158,732,042,010,697,613,
621,907,376,710,440,001,911,007,783,375,993,880,860,783,574,475,986,121,648,
303,958,521,106,854,026,966,555,868,907,983,909,544,764,439,839,928,939,697,
289,600,954,850,496,664,407,245,199,392,785,031,015,668,452,615,879,650,486,
813,766,536,498,907,787,767,183,342,139,683,627,864,783,886,622,156,243,695,
892,171,589,810,445,264,310,737,875,636,647,610,129,206,809,734,440,378,401,
048,037,095,086,008,017,669,675,026,938,917,676,455,713,588,751,708,610,339,
900,137,805,344,075,828,734,655,448,293,549,058,484,728,534,388,323,923,930,
096,408,014,852,271,571,851,999,423,012,007,192,279,353,881,070,270,918,596,
006,220,971,911,532,490,642,876,369,826,357,102,941,987,315,151,534,108,960,
537,732,750,902,645,459,986,086,418,067,835,085,853,526,191,696,448,858,971,
913,264,614,613,214,747,611,204,789,972,444,261,108,205,943,730,321,678,339,
439,391,878,245,471,541,537,438,317,393,204,669,801,896,139,971,374,481,082,
502,258,224,879,445,076,220,112,964,772,325,730,877,555,987,563,459,949,608,
649,240,048,344,481,043,062,779,299,142,249,638,662,664,397,099,011,287,340,
586,138,604,892,254,852,550,167,153,711,960,617,377,471,278,112,453,344,310,
583,164,808,930,277,236,035,926,992,676,828,045,165,234,359,553,174,366,760,
039,759,504,606,467,914,602,737,804,685,973,488,836,437,252,805,678,856,065,
300,037,617,368,073,558,990,812,548,502,093,087,466,882,074,164,951,676,595,
036,403,001,337,676,370,685,934,741,681,102,997,374,891,674,552,012,062,154,
504,727,504,896,430,763,853,893,220,903,079,884,703,789,074,698,618,971,146,
938,995,754,723,892,377,182,544,701,404,985,490,916,823,215,473,538,001,872,
282,947,809,355,691,137,441,224,980,669,994,906,144,388,815,799,075,588,379,
462,500,788,473,499,853,599,859,954,845,926,604,739,115,856,183,731,648,489,
056,928,205,110,099,460,370,992,271,589,993,230,536,841,341,392,647,959,221,
424,327,909,874,770,731,102,891,137,976,311,919,491,742,368,581,526,330,524,
158,644,600,610,098,215,799,534,608,133,244,543,205,140,828,647,287,231,336,
888,074,738,200,151,559,115,696,381,026,585,972,125,692,988,728,093,842,487,
321,521,149,876,381,178,874,168,467,771,648,130,804,577,581,973,324,075,805,
717,006,965,922,371,812,691,639,309,411,647,745,655,489,703,833,043,937,760,
653,250,032,482,619,612,942,478,180,478,586,388,354,316,521,166,027,176,978,
751,802,959,920,134,706,035,635,079,580,443,235,116,408,137,241,361,979,708,
636,757,731,615,280,140,333,400,432,552,619,594,162,486,386,129,222,954,286,
600,591,989,046,182,351,570,367,117,487,412,523,785,396,957,178,927,054,646,
700,088,565,984,553,510,713,796,064,245,844,984,994,776,678,140,781,784,426,
016,737,007,797,721,210,027,974,174,525,686,526,744,740,197,905,580,669,674,
692,088,919,415,650,252,434,103,842,245,905,819,160,099,267,667,238,919,258,
935,088,092,680,263,356,175,991,064,971,749,218,478,509,648,947,866,286,086,
202,814,716,999,940,324,818,805,539,464,844,152,210,201,589,016,628,897,755,
963,296,684,401,304,712,122,907,256,818,901,886,015,602,685,007,301,790,125,
864,615,714,967,717,610,745,881,290,237,089,805,415,104,214,279,726,653,508,
146,693,787,268,769,294,952,114,420,697,529,411,038,715,794,361,700,686,673,
750,917,038,906,044,658,224,815,562,594,716,739,857,875,514,394,632,250,649,
559,296,221,642,464,193,841,540,651,881,110,599,123,269,343,336,874,460,398,
216,932,997,737,788,314,338,908,725,061,061,721,459,675,576,188,841,015,278,
612,662,878,873,660,396,974,707,319,315,898,771,777,278,305,889,586,062,120,
568,172,297,273,843,707,641,146,151,194,377,950,208,155,622,815,953,614,588,
100,879,480,903,574,847,784,085,772,684,958,380,766,748,066,475,557,164,272,
288,020,649,862,638,545,538,519,352,426,275,397,462,379,145,865,559,547,562,
647,969,852,898,518,627,896,722,991,210,931,058,014,067,841,316,446,366,428,
834,523,075,197,504,729,402,897,940,867,159,937,840,156,501,356,619,743,776,
002,586,860,101,266,780,045,350,924,609,104,850,840,142,034,590,156,003,275,
628,019,664,833,266,082,711,691,919,498,874,171,780,219,652,158,186,605,479,
004,574,401,409,111,018,190,089,479,021,692,049,322,091,997,592,836,943,233,
736,393,474,917,320,398,904,015,754,563,751,579,111,247,375,499,482,315,788,
949,814,542,214,115,340,344,578,273,625,232,473,348,737,221,019,755,521,112,
932,569,725,850,965,702,621,699,925,069,215,630,677,869,958,047,217,837,046,
983,690,197,757,332,944,126,009,667,402,800,164,882,131,485,349,700,704,300,
925,557,114,922,777,982,311,560,307,142,274,604,678,340,100,763,430,210,071,
347,064,136,907,640,124,930,900,033,014,116,719,012,903,963,124,337,733,681,
879,845,890,121,670,358,193,794,058,188,240,734,466,091,314,711,196,589,133,
196,939,101,114,634,185,347,719,012,330,450,422,966,545,061,740,163,777,310,
295,593,819,935,158,039,860,806,095,574,475,361,529,733,393,749,629,520,877,
059,028,005,415,593,137,686,474,107,671,646,603,375,947,894,617,910,223,597,
179,558,287,513,579,314,099,782,117,393,302,521,482,657,360,892,398,982,632,
290,711,209,195,213,936,651,733,300,594,913,772,944,732,947,470,461,941,397,
699,347,949,607,392,107,851,717,971,282,053,557,202,318,266,217,029,058,778,
919,493,013,491,712,589,911,006,186,372,277,629,316,971,153,785,531,960,531,
313,602,588,747,078,398,772,088,938,034,517,090,467,075,130,921,595,518,742,
168,379,854,069,648,527,132,463,160,350,458,658,293,437,116,281,542,014,448,
526,146,521,349,574,342,607,419,216,829,331,891,864,626,107,057,814,013,708,
503,147,948,768,045,252,069,185,075,463,870,317,077,620,627,305,806,477,615,
152,508,214,903,266,924,251,641,212,409,956,642,490,342,100,761,359,482,907,
857,079,809,398,437,346,280,062,433,813,605,820,483,913,668,523,614,386,384,
825,765,145,501,524,559,190,260,065,490,059,994,913,822,883,060,612,627,033,
598,839,166,455,258,349,244,420,856,982,724,074,547,130,187,581,479,228,283,
180,863,574,140,051,288,004,094,155,495,843,644,689,625,628,973,650,269,191,
954,899,458,401,059,973,381,983,556,454,145,033,291,483,412,229,599,107,974,
425,006,418,368,756,494,656,513,333,033,982,390,545,947,348,864,723,434,226,
979,318,280,685,059,763,594,797,446,066,256,797,466,508,073,890,894,536,970,
852,140,322,561,300,596,152,976,522,881,255,784,637,692,372,793,156,734,579,
462,294,245,813,348,818,180,778,559,325,152,603,754,376,460,699,493,262,441,
014,190,266,011,189,237,465,013,959,034,711,452,477,686,177,820,348,685,101,
632,786,702,356,807,830,919,812,925,990,957,428,452,214,113,652,949,478,411,
624,508,643,122,992,240,141,385,535,939,348,701,087,931,870,469,840,400,472,
360,239,648,360,531,923,158,610,289,219,707,701,141,371,139,482,247,887,753,
295,804,988,596,438,822,354,405,303,886,179,542,344,467,926,275,827,355,935,
554,601,131,092,265,524,937,322,831,038,389,180,558,073,829,370,731,583,790,
580,762,597,543,075,941,651,203,403,449,735,588,609,395,113,371,146,598,786,
749,708,613,628,125,024,620,279,402,030,938,605,922,342,304,195,627,032,268,
461,773,296,404,698,672,254,214,752,238,609,592,618,459,003,826,724,875,888,
926,716,937,514,614,270,071,776,190,407,875,164,636,628,259,647,818,438,045,
547,636,509,677,033,722,351,561,707,132,281,913,993,605,201,672,232,327,229,
969,454,344,828,305,920,339,539,227,485,187,458,499,474,029,579,258,725,583,
363,974,863,190,691,904,715,261,026,846,580,545,190,763,097,064,616,616,822,
841,339,628,184,270,831,140,132,782,504,869,040,535,403,912,713,032,323,341,
486,281,065,130,669,247,517,259,411,444,214,467,923,457,903,478,103,472,308,
283,881,820,150,502,236,004,947,531,962,195,826,732,521,470,084,531,979,588,
872,365,652,191,306,509,324,078,964,048,904,867,625,186,664,574,919,278,198,
459,538,830,172,433,825,854,457,727,949,395,480,313,558,414,695,199,227,097,
267,258,071,989,947,585,742,535,515,310,234,321,973,626,121,966,110,403,311,
115,866,099,996,370,025,675,054,703,474,401,797,201,262,546,930,607,886,636,
439,143,048,637,343,540,786,759,063,076,481,727,019,980,178,575,930,351,209,
645,808,117,073,918,333,178,600,571,186,673,783,452,629,793,054,800,941,782,
507,249,636,379,227,665,037,957,940,450,558,050,991,607,548,919,113,579,766,
683,717,634,178,146,834,377,824,263,558,505,806,608,652,426,204,591,123,601,
715,767,969,894,054,564,335,311,825,447,061,224,372,828,068,005,087,615,308,
334,157,395,239,811,814,396,519,117,382,642,512,449,552,028,847,188,406,239,
222,466,677,985,685,278,522,637,438,215,941,278,527,943,389,938,177,517,321,
643,630,375,918,009,988,176,915,072,896,997,401,325,862,195,207,262,065,822,
977,412,488,508,483,454,824,026,080,065,867,485,675,920,517,122,848,674,615,
393,719,413,751,157,222,068,622,182,943,418,855,167,889,011,425,363,647,930,
876,298,859,296,301,967,966,482,817,159,433,202,722,309,563,492,818,872,840,
741,732,081,040,834,889,116,395,007,610,258,445,055,011,784,574,527,626,363,
171,194,887,132,064,052,913,409,639,808,841,462,488,339,698,277,711,856,866,
756,880,451,747,937,821,961,238,127,875,770,834,857,469,340,187,526,507,535,
042,050,176,002,193,760,629,880,581,222,298,960,373,879,099,802,694,814,123,
096,791,508,246,068,698,788,880,685,376,073,496,060,662,876,374,578,786,886,
193,618,095,686,863,338,152,650,677,196,442,132,464,698,443,654,147,909,967,
384,591,609,704,596,448,825,190,269,408,337,610,920,809,908,702,697,905,217,
907,571,496,917,647,266,954,861,096,088,192,196,760,083,782,159,466,521,110,
322,427,624,653,498,368,290,874,019,372,946,028,172,813,083,898,341,165,685,
681,840,872,866,356,624,772,332,938,589,812,825,523,881,512,330,792,365,092,
105,391,222,338,055,974,753,442,846,604,021,848,550,824,243,510,424,554,843,
173,640,334,550,978,721,842,189,739,823,312,693,120,073,329,391,894,299,302,
400,887,937,376,549,886,256,128,957,281,814,919,336,035,250,523,654,224,945,
059,214,216,601,065,764,178,831,199,224,295,247,715,127,347,092,789,348,544,
756,896,356,493,287,242,427,719,101,260,191,286,958,388,658,898,978,757,778,
033,572,392,758,608,632,176,272,586,681,893,864,761,712,055,773,163,030,489,
482,999,266,305,827,487,246,836,897,837,708,740,245,152,793,167,503,025,796,
030,443,564,605,343,942,849,710,784,298,502,793,499,201,545,014,157,202,864,
303,834,979,452,869,060,150,710,317,902,411,539,007,277,445,451,541,604,701,
510,295,061,576,877,674,423,432,132,619,381,479,440,630,207,976,071,066,877,
470,157,784,810,188,948,606,214,722,004,137,225,148,326,929,279,095,474,270,
613,725,310,164,111,787,552,586,402,399,025,264,758,544,431,795,851,126,593,
027,651,402,567,233,268,530,379,687,643,527,327,049,629,672,748,332,157,788,
419,708,130,339,873,738,438,465,036,539,445,777,399,664,700,585,523,350,520,
149,355,308,774,516,510,102,501,892,591,349,607,332,294,540,638,904,032,419,
706,133,626,620,926,287,959,854,394,869,741,893,575,289,849,645,743,404,285,
812,609,094,848,011,388,113,635,205,824,926,035,387,077,394,419,740,197,285,
477,940,558,413,776,581,041,733,281,075,644,173,872,744,485,360,827,213,251,
389,081,066,991,749,382,904,053,970,567,018,318,303,332,699,330,718,438,727,
732,220,076,830,050,336,900,787,321,190,385,951,725,313,069,679,596,944,431,
107,180,059,765,324,967,776,726,468,431,806,938,697,767,822,712,219,577,633,
359,519,479,511,882,284,041,174,461,405,728,445,370,884,438,846,140,973,143,
516,514,163,951,828,582,584,670,732,154,288,940,404,824,627,657,373,177,176,
441,411,711,507,404,912,930,368,660,748,708,054,350,626,429,823,793,973,708,
680,659,772,007,473,285,865,948,866,810,898,566,553,671,582,418,915,386,140,
958,451,840,489,478,261,517,596,758,472,393,239,122,859,024,469,337,473,077,
827,693,241,580,149,441,873,048,676,955,474,834,611,233,817,360,157,071,607,
324,544,338,942,794,162,381,725,699,899,858,336,282,743,965,082,647,255,840,
607,653,081,374,270,433,013,785,855,738,144,865,898,941,128,978,749,632,760,
671,047,369,782,045,947,609,960,874,657,330,379,624,100,711,599,904,561,377,
425,936,433,445,756,141,829,823,000,412,681,348,395,633,877,496,338,928,671,
817,383,605,929,458,345,055,286,814,481,802,561,573,067,881,378,736,807,589,
590,661,231,122,106,369,043,317,282,522,044,333,956,154,185,063,992,800,319,
831,599,935,519,260,747,388,413,546,043,114,881,572,878,215,706,619,688,091,
351,606,723,909,944,265,493,421,598,124,791,404,377,182,061,047,171,124,692,
430,897,106,078,396,212,769,342,976,376,053,847,219,137,908,725,365,453,331,
405,338,178,557,204,652,639,659,638,357,585,429,567,957,226,386,032,290,492,
669,715,161,473,212,672,308,136,946,392,273,478,701,360,860,618,418,708,321,
634,367,717,084,671,712,596,658,667,944,051,506,470,884,697,735,655,366,935,
040,873,166,642,675,379,671,032,781,846,492,095,702,949,526,833,526,563,023,
172,543,839,137,392,719,818,176,412,340,119,091,437,975,763,941,162,209,680,
130,485,426,022,764,366,062,670,918,524,231,450,087,551,339,609,626,264,378,
458,603,752,548,936,583,392,628,111,430,895,610,669,599,938,450,879,613,069,
056,101,048,384,386,302,193,535,947,875,500,100,825,484,497,894,773,802,269,
429,910,671,859,329,784,965,220,888,440,017,799,125,803,520,509,042,586,137,
557,228,227,072,762,442,134,025,493,271,935,738,143,791,949,721,131,324,722,
788,357,808,769,916,416,336,182,770,780,100,302,536,915,395,979,771,212,136,
739,026,317,504,090,238,546,195,470,786,335,006,877,707,647,495,518,251,682,
539,462,885,993,522,252,877,954,607,106,285,056,742,260,675,805,968,799,515,
622,938,165,098,903,435,751,597,364,135,078,400,996,797,506,234,698,430,981,
286,946,632,160,301,798,508,148,479,352,352,648,156,983,463,127,018,475,123,
528,676,491,201,585,276,697,234,691,295,876,198,315,090,895,496,124,791,695,
557,298,098,434,657,671,903,276,638,648,159,550,781,610,400,895,521,270,027,
963,252,731,122,633,335,655,276,185,804,086,516,437,068,460,070,038,950,879,
936,967,901,397,256,116,447,040,933,869,834,667,294,745,922,092,792,439,717,
605,862,184,614,046,334,495,547,071,564,727,219,121,681,635,259,810,066,799,
170,671,801,316,435,213,993,037,297,765,303,693,612,898,512,899,159,356,122,
471,607,379,411,319,132,569,489,878,874,624,205,007,843,887,000,427,941,081,
864,867,799,507,586,348,694,314,994,826,731,065,031,109,108,693,572,368,087,
959,365,972,777,702,604,550,253,624,672,871,434,340,218,941,079,327,307,955,
101,669,250,710,517,053,186,090,921,572,334,093,435,909,636,120,516,049,110,
223,551,307,962,346,023,877,523,980,922,172,290,892,228,362,482,927,958,075,
423,905,671,344,242,358,135,161,025,102,524,196,924,320,166,398,736,725,783,
094,916,689,233,972,725,209,355,789,722,951,676,540,515,370,380,122,335,972,
954,160,721,459,118,140,858,451,951,968,104,904,469,073,902,638,772,798,551,
501,474,196,020,453,839,026,905,275,588,589,438,511,366,982,156,916,504,139,
293,416,053,281,840,315,159,226,254,366,776,877,506,998,885,267,558,608,904,
299,286,987,670,837,174,165,270,039,164,859,028,200,338,952,751,113,827,592,
376,561,745,975,084,584,941,810,588,035,355,103,722,214,649,127,993,307,158,
423,455,903,435,474,097,346,675,682,378,510,962,277,924,049,377,761,857,967,
819,263,572,375,424,301,320,095,932,617,780,362,020,558,121,512,596,426,086,
772,797,782,883,292,151,667,995,033,596,469,428,694,987,853,880,266,697,127,
144,320,338,553,546,320,741,687,441,811,845,802,195,986,886,076,706,159,216,
420,577,357,981,078,373,632,415,857,505,403,242,399,745,540,373,385,182,949,
723,946,918,704,864,820,111,191,904,068,467,683,153,067,549,893,092,004,079,
126,565,597,001,093,806,437,808,301,492,789,495,968,923,591,710,600,810,151,
957,496,235,116,215,029,707,037,736,896,582,701,853,227,110,070,882,846,749,
920,743,107,393,038,179,419,526,202,745,892,388,876,495,959,001,188,012,302,
167,509,522,681,563,736,917,730,581,496,239,404,103,226,688,818,585,608,104,
636,936,761,258,677,534,087,937,758,170,907,501,370,963,117,986,146,685,729,
975,657,925,835,648,635,400,311,598,381,612,936,859,919,657,366,133,199,597,
417,399,453,759,735,857,348,096,915,477,561,533,956,142,000,260,778,417,486,
510,694,786,516,213,269,827,143,941,949,435,800,971,237,683,410,101,992,874,
845,291,202,416,178,191,895,505,465,291,089,646,225,857,126,724,214,706,061,
283,560,797,813,465,968,696,338,746,185,777,934,203,314,511,981,620,056,836,
436,693,110,371,866,220,642,235,780,937,229,074,589,538,127,888,589,968,588,
981,266,636,175,520,351,528,294,817,416,854,291,954,572,488,663,080,564,957,
402,186,863,021,378,565,923,266,925,869,442,362,879,175,525,490,906,958,547,
050,300,543,678,830,831,795,814,441,056,288,780,906,663,563,269,637,001,039,
120,126,026,586,599,902,734,431,964,606,253,384,957,401,324,363,677,470,155,
129,651,866,291,726,517,027,955,754,783,229,762,754,992,309,041,667,371,735,
102,867,430,812,513,520,988,918,584,896,110,931,343,963,876,760,674,253,263,
639,611,194,312,460,077,950,815,154,362,533,010,408,314,784,238,701,171,114,
300,062,164,962,541,175,357,070,983,187,278,715,424,051,822,030,189,511,064,
845,286,784,522,685,344,009,618,750,623,960,484,799,405,055,951,363,200,937,
249,295,542,232,968,988,366,534,531,098,782,684,854,537,895,256,163,497,248,
545,548,663,597,703,276,459,345,939,092,711,013,382,353,903,292,949,906,567,
889,775,789,560,119,128,042,009,430,779,222,707,302,354,231,706,472,829,220,
458,810,478,902,465,224,727,016,453,131,622,217,801,729,787,954,108,742,399,
569,434,447,881,352,036,377,386,074,972,415,410,920,279,267,257,109,821,923,
841,359,500,839,457,219,727,921,538,776,762,286,315,337,021,644,457,747,835,
389,978,721,871,832,838,660,280,508,378,561,997,733,894,602,225,849,925,756,
402,643,204,980,809,650,941,331,924,648,482,890,577,834,229,261,552,777,188,
310,460,809,816,272,017,452,677,339,757,314,305,070,790,620,263,220,435,133,
257,859,919,671,119,399,191,266,798,392,037,917,335,453,696,386,481,409,624,
802,116,898,751,039,653,753,635,578,613,030,574,413,977,890,972,364,925,992,
501,999,956,709,693,250,365,967,751,720,842,501,415,254,407,828,763,017,822,
007,154,117,692,594,013,520,559,182,276,425,622,047,670,968,324,476,921,690,
348,785,294,254,207,207,463,698,714,750,464,600,232,595,916,873,595,301,680,
725,880,855,726,311,537,522,999,297,526,361,526,510,756,750,239,794,732,249,
778,074,237,001,815,178,224,788,090,256,710,738,399,986,417,392,348,014,915,
881,839,843,708,781,036,717,908,569,974,537,795,779,879,369,471,436,075,663,
742,156,005,598,883,964,066,775,227,456,676,540,037,462,483,018,793,502,253,
519,906,775,501,517,355,225,520,867,694,934,091,098,838,627,079,786,551,827,
570,247,840,732,231,627,670,427,566,834,296,556,365,880,103,238,998,039,084,
858,210,925,540,905,065,723,373,335,806,487,386,006,342,936,834,479,026,804,
081,874,112,503,317,500,263,428,309,379,597,295,852,352,188,036,705,703,616,
207,857,533,636,675,265,215,670,478,162,134,760,582,805,085,269,608,443,032,
071,160,519,077,685,340,731,441,798,006,631,191,596,972,874,792,662,290,893,
848,871,017,302,848,314,515,405,475,198,228,386,192,489,736,222,008,013,403,
776,985,858,367,319,096,805,033,451,493,119,247,338,083,346,112,491,477,212,
537,629,003,871,058,980,621,498,110,027,905,728,865,952,255,090,529,299,779,
832,536,532,309,844,223,374,734,011,763,395,697,760,758,552,889,409,766,977,
866,003,557,849,308,037,099,930,694,671,535,287,583,498,980,026,664,425,120,
494,302,381,142,739,349,137,516,772,307,983,261,347,715,157,349,340,382,904,
729,451,625,220,458,657,750,978,869,743,678,436,688,746,709,775,894,042,058,
045,571,967,921,099,140,915,263,804,490,418,225,120,389,120,438,587,017,755,
710,934,996,785,749,863,536,841,218,740,481,686,871,486,070,677,396,160,191,
437,952,045,126,649,564,586,040,070,554,999,636,228,248,596,720,660,402,656,
608,269,079,701,991,184,313,833,315,272,743,878,376,081,018,888,036,202,697,
778,124,374,088,814,943,411,986,131,899,561,678,510,277,531,956,511,228,897,
267,219,456,458,425,990,069,599,514,276,931,282,321,981,621,908,291,839,205,
245,744,189,952,109,538,241,508,062,302,884,963,203,899,043,054,919,936,682,
587,769,005,430,027,664,263,757,496,355,050,104,229,438,649,403,820,309,102,
278,529,391,770,387,668,909,967,209,311,382,823,410,758,316,392,870,258,052,
795,709,019,449,333,847,752,667,374,504,471,525,590,870,516,655,320,382,923,
448,262,154,802,442,206,787,755,193,833,533,701,685,710,405,301,595,744,842,
390,406,905,818,337,881,288,312,540,458,441,086,895,711,060,930,578,547,049,
065,512,522,649,375,659,354,097,952,674,332,800,081,039,024,104,260,246,827,
758,756,376,574,306,208,697,686,893,244,199,464,039,223,022,040,996,136,649,
602,323,094,932,424,592,878,578,960,825,318,563,790,204,049,165,811,739,242,
715,116,903,305,813,488,944,587,773,778,391,100,339,737,518,556,822,970,663,
452,550,654,400,597,612,020,427,831,184,660,318,274,800,756,812,962,400,446,
256,643,739,175,045,874,254,217,517,694,817,311,466,529,803,925,226,451,747,
692,714,464,870,487,502,181,987,615,180,800,244,583,525,944,110,452,156,606,
890,490,144,871,467,675,613,522,989,854,286,629,403,024,045,950,755,235,897,
751,332,745,651,579,989,204,513,453,719,527,602,714,542,462,794,678,040,922,
859,540,261,028,123,853,600,896,355,018,439,583,642,723,920,545,937,438,631,
261,692,294,624,363,175,208,296,151,298,590,318,081,598,249,396,738,624,853,
191,708,316,749,526,971,584,502,802,328,843,983,257,194,746,162,294,750,248,
279,916,239,577,506,842,259,983,649,236,826,381,756,768,701,141,640,096,010,
866,472,055,841,716,945,176,802,876,137,457,065,154,147,010,429,336,594,297,
307,013,659,504,874,156,135,901,434,352,023,664,240,706,569,346,686,065,755,
541,794,751,278,953,869,167,275,328,432,766,939,503,436,827,360,619,687,178,
052,895,756,218,292,076,544,680,055,166,888,447,916,924,851,510,216,800,912,
666,281,986,462,427,938,767,022,107,141,060,669,267,129,157,147,699,541,710,
847,443,779,878,422,434,609,606,822,510,106,888,094,172,844,550,990,449,248,
986,827,784,549,098,131,806,598,267,399,232,193,689,799,918,735,562,558,467,
012,203,389,642,958,703,236,209,292,283,317,610,268,926,233,938,191,526,799,
828,433,035,840,190,167,576,689,239,463,768,274,066,386,486,017,111,672,610,
287,889,318,100,480,371,162,026,107,452,391,967,101,212,141,301,171,643,490,
287,775,284,138,343,518,800,396,657,451,137,019,413,560,710,395,711,355,292,
979,146,428,363,102,018,512,102,637,364,146,907,517,065,577,908,227,996,778,
692,691,026,989,209,631,787,466,393,610,736,257,778,708,427,978,961,963,483,
188,137,680,621,021,896,584,429,255,931,939,141,574,548,681,331,698,451,829,
789,860,208,248,420,808,169,933,712,005,153,713,770,003,489,736,432,204,792,
243,775,876,111,720,614,495,790,914,283,123,166,858,920,420,675,279,903,559,
039,235,594,313,909,726,945,631,345,040,154,104,015,601,973,254,293,813,694,
542,650,326,012,615,302,865,215,313,368,804,859,269,265,260,541,863,109,299,
030,503,707,962,910,623,022,840,573,995,579,309,383,104,318,029,713,495,132,
601,798,594,330,028,281,943,401,034,505,745,735,492,209,940,762,409,236,214,
848,090,867,916,027,071,423,961,875,938,507,153,392,359,053,825,073,192,136,
774,775,928,876,462,289,822,303,095,624,928,183,198,027,283,251,333,736,737,
624,710,974,948,291,135,962,985,056,354,905,193,179,080,692,616,581,821,473,
012,870,074,438,924,004,484,752,869,846,845,393,001,960,952,727,660,558,137,
111,708,133,523,914,252,300,698,308,952,606,958,110,040,483,740,408,228,705,
356,442,023,390,417,826,496,128,656,413,371,201,726,694,747,770,283,148,426,
127,866,634,813,988,483,378,848,967,144,118,118,267,119,598,053,864,834,917,
203,445,765,789,534,873,398,741,174,892,743,192,315,834,426,030,952,199,661,
473,752,104,314,885,979,100,381,875,151,530,357,767,150,177,774,416,796,523,
283,481,451,114,493,587,596,546,886,275,565,422,968,703,010,801,120,613,216,
562,654,161,827,053,707,176,226,525,972,572,412,322,368,972,652,078,111,682,
575,155,774,932,116,636,165,561,381,055,167,621,838,738,541,621,247,004,559,
145,542,579,555,927,508,014,917,573,937,097,738,342,011,948,127,845,959,125,
721,231,842,688,036,174,594,405,432,690,820,398,505,841,603,190,091,691,627,
744,137,918,768,525,958,055,031,484,333,082,127,899,522,097,475,372,566,935,
449,229,225,698,488,771,816,702,195,992,048,416,925,812,664,896,114,581,798,
421,123,629,201,139,431,429,851,357,735,085,276,240,073,759,811,677,386,726,
847,865,988,433,538,474,372,714,318,434,166,232,001,170,756,459,682,421,856,
659,660,683,802,688,371,760,566,355,744,012,576,761,980,560,353,415,902,486,
063,880,041,549,187,232,478,370,364,660,949,282,371,998,284,029,327,459,964,
761,609,559,705,298,068,694,951,430,576,456,902,093,800,707,104,523,610,551,
148,322,916,905,640,402,375,476,992,404,978,487,182,051,820,569,011,759,793,
652,917,412,535,776,889,828,625,964,711,264,438,213,285,535,030,398,224,477,
005,415,861,450,457,613,679,329,182,001,765,126,314,869,637,576,191,772,152,
952,215,404,427,637,307,570,406,721,057,683,524,331,075,294,785,377,598,916,
962,123,696,812,849,269,910,388,309,987,406,676,881,902,408,137,024,639,850,
352,732,184,850,092,300,219,605,339,723,387,643,677,095,886,747,560,647,865,
427,426,359,771,329,450,578,429,063,008,375,151,863,922,237,884,418,897,404,
075,253,984,605,491,126,732,998,441,687,360,227,382,077,066,903,971,969,166,
723,938,973,482,915,035,318,660,149,052,056,760,552,855,827,982,688,488,690,
691,923,018,961,092,078,151,859,469,591,030,819,670,329,307,512,571,195,793,
575,216,997,764,688,761,231,896,438,104,903,442,322,322,998,272,256,051,975,
022,822,800,441,673,527,830,480,287,858,017,847,128,600,324,424,642,429,535,
086,011,525,650,496,937,941,579,355,190,522,783,792,801,392,541,598,423,557,
895,358,589,332,290,761,228,765,875,658,562,659,171,957,372,923,927,312,136,
128,702,325,774,255,772,946,993,494,251,145,018,989,101,034,308,649,378,753,
308,208,473,389,388,566,859,562,499,066,235,426,868,896,985,359,017,442,946,
330,100,916,407,605,876,518,048,973,586,806,966,511,982,655,125,092,338,293,
087,155,396,467,209,598,867,887,038,861,973,991,110,873,830,369,180,351,196,
220,961,275,897,565,879,116,640,541,339,433,881,154,631,677,468,403,859,364,
691,000,016,863,124,540,425,232,141,928,575,167,820,806,243,306,769,966,318,
155,975,791,760,897,594,135,146,552,012,326,460,462,453,881,573,012,258,700,
433,531,043,935,082,247,193,059,395,854,508,754,556,032,555,460,392,780,872,
763,561,610,928,227,259,886,970,731,998,326,023,151,832,689,220,181,086,750,
735,543,406,199,771,495,076,878,359,891,097,663,077,875,674,592,588,059,510,
668,440,451,863,772,818,836,711,747,368,367,820,834,094,608,060,637,512,660,
620,341,782,291,413,875,898,184,904,755,052,905,393,438,993,217,443,868,510,
752,773,024,471,655,858,918,463,052,719,045,328,059,149,224,181,018,312,872,
762,056,335,806,439,855,615,946,070,408,954,500,622,498,920,804,658,200,066,
156,996,625,277,769,852,380,670,373,427,337,114,054,056,220,517,615,396,243,
724,976,219,037,407,822,645,188,839,937,239,184,219,383,202,614,825,352,999,
859,194,291,010,985,743,080,296,326,091,128,981,315,950,865,710,818,928,504,
747,894,641,831,801,227,105,358,058,596,147,821,206,580,732,296,469,707,407,
498,108,346,482,519,424,279,170,182,604,397,057,529,448,222,647,759,562,132,
004,077,326,180,344,260,541,646,249,036,411,484,533,510,748,590,950,211,532,
357,620,372,255,800,668,505,646,578,870,929,508,186,728,088,524,304,073,987,
415,861,781,551,091,424,957,349,777,613,572,515,239,886,647,390,059,310,212,
455,085,253,945,527,845,681,033,662,757,473,910,355,444,821,881,442,603,112,
782,714,376,779,667,804,610,053,451,864,082,102,749,886,612,072,803,889,687,
131,757,344,711,759,124,864,832,751,503,063,575,619,339,585,639,060,712,414,
504,512,676,434,581,872,837,262,041,549,005,757,218,863,052,050,261,210,528,
738,887,725,125,892,412,312,943,312,932,549,159,060,273,095,754,819,867,308,
474,406,675,062,019,063,845,890,220,142,334,900,967,982,367,583,847,993,286,
379,592,802,995,030,055,256,598,498,689,924,193,558,683,735,628,889,686,882,
496,954,895,263,154,043,331,863,879,291,488,262,231,639,769,149,167,230,906,
631,969,965,895,410,990,256,279,354,814,132,770,282,552,137,949,720,380,895,
374,868,722,961,920,303,154,990,376,947,029,628,789,476,376,198,197,015,270,
031,633,493,980,112,919,116,494,933,504,832,428,195,387,694,667,198,299,795,
027,343,172,526,580,348,206,342,787,164,088,190,426,189,366,024,179,066,815,
208,097,918,111,366,951,115,865,758,123,589,262,810,938,994,146,201,033,186,
679,055,540,838,338,791,754,801,403,432,931,699,712,306,656,684,914,788,882,
188,193,110,062,548,156,772,322,035,805,110,529,527,135,548,353,324,900,670,
103,325,166,674,499,289,236,821,166,257,151,105,282,417,873,180,653,534,592,
679,879,250,606,001,459,875,047,930,846,482,275,371,200,219,924,157,064,660,
492,783,242,553,912,684,623,175,729,228,219,836,937,312,743,656,827,032,488,
115,737,158,049,603,844,087,807,772,296,938,358,105,833,722,692,345,364,476,
406,213,404,096,776,292,177,323,104,434,884,551,472,163,078,145,672,601,777,
586,299,132,344,096,040,142,128,077,195,028,639,987,842,542,322,631,659,283,
549,132,956,450,430,553,809,291,693,225,773,040,016,846,972,038,036,678,720,
810,359,586,590,339,969,659,983,446,803,960,595,047,603,468,417,974,582,040,
220,597,386,449,970,718,007,838,880,842,332,886,963,586,134,681,525,748,430,
368,251,693,763,274,967,336,223,626,464,664,396,808,629,753,164,461,295,634,
110,488,401,089,656,185,524,450,419,178,158,304,683,181,344,519,890,790,963,
587,660,230,747,897,195,090,081,975,525,619,567,479,707,818,269,736,374,046,
742,699,036,904,894,548,433,638,280,139,795,462,137,373,106,646,188,871,983,
864,884,273,122,160,013,033,560,648,715,736,340,895,941,946,542,064,572,875,
603,790,809,035,716,957,697,211,675,937,816,577,053,155,904,514,051,543,885,
741,610,032,387,447,409,438,933,267,696,584,584,676,288,727,553,826,063,280,
750,681,151,002,793,562,243,297,346,134,834,397,376,673,757,757,261,122,177,
229,597,088,032,262,996,019,214,890,419,279,246,773,301,995,888,138,076,791,
720,762,575,967,844,564,037,825,300,129,042,487,811,227,222,611,010,511,957,
338,524,188,160,404,845,505,015,949,111,427,317,922,410,051,347,070,390,003,
062,974,660,016,523,874,073,109,762,821,058,314,345,227,192,376,597,592,274,
977,041,392,834,409,089,117,667,239,453,650,186,167,488,211,521,615,079,681,
444,118,883,837,011,702,135,392,619,862,339,686,560,903,399,837,549,069,318,
913,667,470,083,729,832,225,743,833,925,849,792,984,535,244,085,285,092,957,
087,959,201,241,792,963,206,869,941,930,662,363,026,768,731,888,065,826,977,
765,540,544,194,481,865,818,353,530,007,233,582,880,089,020,352,004,859,306,
211,621,177,719,589,441,125,682,254,921,656,876,860,962,027,975,355,272,503,
756,425,027,716,860,652,768,241,388,796,678,737,938,854,951,025,564,312,749,
828,715,798,391,321,957,535,190,803,583,348,159,138,741,933,930,035,342,976,
631,973,581,685,254,082,795,608,957,054,723,338,435,644,531,802,701,702,292,
453,023,166,797,477,401,103,709,679,045,868,531,347,418,016,175,920,514,980,
302,883,879,712,403,083,440,118,095,910,149,553,858,021,447,300,891,106,799,
588,325,268,786,530,687,659,401,773,126,752,220,004,587,659,919,207,285,474,
502,579,015,469,819,874,769,804,958,037,887,169,937,629,051,819,532,401,911,
683,830,809,358,958,650,959,291,038,099,585,035,414,146,973,477,920,370,760,
773,003,766,016,573,227,913,241,931,862,136,606,175,428,346,906,340,950,235,
392,481,813,630,662,956,161,039,799,037,254,734,182,358,774,499,898,182,530,
151,947,668,602,428,350,818,205,323,927,464,423,473,687,467,657,541,433,385,
567,506,022,161,831,181,919,816,870,062,665,133,496,987,051,270,505,579,685,
245,456,576,470,982,142,047,055,124,368,789,264,513,588,444,194,345,642,535,
137,928,761,953,185,704,508,162,794,684,443,097,041,397,598,288,657,011,342,
713,273,541,008,276,389,903,662,257,137,489,128,982,031,384,924,918,239,030,
173,386,454,095,383,867,999,506,674,931,574,546,790,875,043,722,324,321,720,
050,986,754,877,046,808,307,242,805,847,469,478,660,210,216,523,624,092,682,
617,521,987,336,802,273,260,958,381,440,807,441,036,250,107,903,377,489,310,
151,238,266,546,418,107,480,009,494,260,234,992,537,529,090,231,110,340,332,
394,029,044,057,044,678,631,096,819,358,663,390,905,242,997,155,939,141,081,
588,315,477,977,585,777,154,091,272,179,553,090,303,153,438,233,402,654,714,
800,459,656,237,994,418,489,073,121,124,394,706,002,584,831,328,489,181,201,
152,046,968,283,811,681,208,121,773,506,338,992,124,276,006,076,250,341,328,
551,785,334,802,460,829,114,295,051,551,654,541,713,354,035,405,046,302,431,
969,530,004,244,483,446,502,748,509,507,218,961,198,780,553,319,121,149,840,
126,902,603,929,136,453,513,607,437,978,050,940,958,590,276,474,587,834,778,
387,857,937,157,560,910,126,865,834,618,254,167,027,287,690,838,169,007,086,
087,657,127,562,950,555,166,280,730,868,094,490,257,191,733,318,228,313,568,
632,202,628,851,271,945,516,281,443,794,261,608,932,825,893,396,680,989,226,
912,836,120,529,811,386,913,589,534,801,087,218,329,748,419,582,686,967,532,
084,673,296,308,512,862,650,698,534,262,043,585,584,616,798,625,374,669,708,
892,009,582,034,194,087,658,833,740,890,593,142,235,366,979,856,384,545,523,
016,989,771,382,427,376,905,442,390,466,992,983,678,596,783,887,841,809,935,
203,274,738,887,340,311,506,276,258,598,199,219,878,441,219,932,814,694,961,
454,685,231,250,449,084,154,000,354,336,364,209,105,785,613,627,592,036,735,
259,054,048,017,885,556,184,722,467,283,500,588,927,695,573,062,435,094,361,
164,011,218,759,035,960,330,124,636,442,525,236,597,145,669,882,220,070,842,
628,936,266,430,693,960,985,828,656,370,216,134,677,133,407,698,489,847,162,
702,047,791,027,724,716,654,628,491,013,259,009,402,648,178,169,753,415,426,
485,297,484,992,052,304,635,928,061,158,655,922,142,063,402,297,591,556,670,
041,122,460,276,149,129,070,669,811,316,974,070,425,569,432,098,249,969,164,
860,937,800,652,319,238,592,538,768,461,795,886,674,257,140,954,854,103,903,
591,416,986,024,780,398,054,462,346,033,905,694,691,711,118,903,584,655,184,
136,823,860,393,238,697,856,742,967,050,977,389,013,872,620,489,426,557,055,
137,705,195,486,562,299,879,426,432,643,174,500,329,587,091,525,079,417,001,
528,388,477,409,054,257,594,794,725,080,288,582,662,819,359,782,925,707,386,
131,872,038,865,873,901,119,495,268,021,500,817,389,865,417,417,975,858,720,
491,002,727,032,069,589,958,880,085,160,607,206,980,914,907,464,732,589,494,
488,957,967,105,925,993,275,195,552,554,476,321,509,414,040,069,892,177,194,
707,821,097,612,476,766,477,320,898,061,359,762,214,506,441,577,850,020,915,
944,530,983,832,964,224,055,479,664,915,444,627,299,241,186,711,766,838,750,
255,522,539,853,227,988,302,700,548,974,019,195,531,305,254,788,722,767,755,
247,537,639,311,855,437,531,364,290,861,139,073,132,734,629,882,843,712,369,
054,273,997,888,679,879,514,679,801,694,260,960,909,318,870,258,075,437,667,
246,192,018,379,835,349,845,830,348,787,341,882,933,956,957,430,514,643,527,
697,913,321,315,046,164,972,892,702,591,290,438,091,821,044,324,036,616,783,
105,862,346,429,437,028,375,231,283,816,708,447,888,124,702,051,072,063,878,
135,915,431,952,646,232,889,296,824,705,690,933,570,231,427,426,704,618,295,
145,711,762,525,451,830,583,888,726,576,899,254,602,041,012,144,765,208,133,
060,701,530,896,182,104,480,218,012,758,885,266,398,811,622,483,789,330,557,
404,628,289,955,891,544,606,982,878,778,944,608,125,324,793,800,747,889,158,
293,771,928,931,627,418,629,535,261,177,902,214,293,831,299,771,637,039,635,
011,711,970,506,749,636,514,374,309,402,104,692,758,474,349,567,506,777,109,
515,017,183,380,938,845,620,450,831,685,431,574,531,217,026,039,158,832,309,
007,548,569,876,402,202,164,588,705,678,294,832,634,864,903,597,973,169,409,
269,061,363,909,749,576,754,761,546,424,527,271,486,675,573,146,115,093,331,
636,719,639,361,495,235,163,914,677,452,805,504,967,723,596,012,796,676,351,
686,106,750,567,025,724,508,990,023,123,765,662,548,167,789,701,904,088,980,
431,552,817,803,172,164,412,069,864,044,281,345,597,031,922,192,004,572,121,
841,463,236,946,982,755,288,515,383,133,925,761,542,591,811,907,719,583,904,
373,684,207,007,230,412,272,179,605,282,913,553,585,868,582,151,144,367,575,
860,322,873,599,836,427,296,286,279,507,054,241,411,442,650,238,951,195,901,
898,661,577,952,640,012,681,119,922,037,477,941,566,704,264,036,352,446,771,
128,738,760,606,662,704,147,532,567,976,872,602,292,976,875,173,281,417,002,
250,821,218,911,577,923,656,921,249,619,423,916,766,022,507,015,532,888,525,
286,759,967,077,139,070,849,410,865,221,965,239,633,020,848,443,738,153,876,
566,917,054,183,093,086,624,018,714,904,779,172,379,672,824,722,523,583,040,
662,889,543,824,532,330,549,320,593,153,024,311,336,509,073,281,034,811,684,
364,538,539,316,468,272,474,793,030,086,137,176,447,905,438,981,916,506,783,
315,413,498,347,660,566,026,008,325,587,587,162,607,122,665,579,676,271,583,
425,095,510,274,349,966,130,566,509,105,887,895,703,436,414,825,016,371,237,
173,707,238,556,028,142,970,738,380,512,668,734,115,258,442,519,914,438,724,
953,809,739,473,115,970,109,319,540,718,928,523,261,412,011,289,824,460,463,
951,215,036,855,040,303,283,208,707,536,942,519,053,382,679,413,468,812,209,
263,625,940,076,150,738,681,448,382,021,001,748,060,912,297,741,753,869,540,
542,589,245,461,483,030,928,264,429,135,095,276,752,882,618,117,142,769,419,
587,664,800,266,694,474,982,328,946,126,753,793,018,088,231,639,395,553,993,
336,398,885,544,667,218,165,896,283,157,176,926,574,448,636,036,840,620,225,
124,293,224,471,572,649,474,389,915,584,127,642,246,901,107,177,198,608,049,
528,070,941,203,690,222,388,801,999,696,238,112,517,478,759,171,671,896,189,
004,183,969,387,036,878,675,963,165,264,347,973,226,989,620,772,602,396,574,
904,642,669,767,547,004,064,701,520,394,185,121,868,136,793,660,113,792,657,
311,306,082,656,720,049,980,353,718,531,385,294,997,485,679,970,550,845,936,
263,897,668,807,397,560,099,743,288,414,102,019,275,409,105,212,362,038,205,
039,319,320,220,397,604,702,634,611,711,616,507,868,895,872,199,670,773,331,
521,470,021,362,403,802,894,438,237,242,710,603,422,151,534,089,644,063,155,
510,118,809,591,094,261,825,215,555,023,907,948,976,463,666,949,102,023,061,
413,001,597,919,414,565,392,342,263,735,938,699,119,564,867,597,721,047,969,
019,347,807,517,497,971,424,215,794,034,490,004,243,882,173,161,584,291,724,
413,623,090,305,671,968,562,303,139,145,058,200,952,297,410,003,121,328,844,
637,545,771,742,391,628,164,493,755,506,089,736,223,505,492,001,258,338,355,
248,631,471,735,477,666,939,900,313,114,172,044,094,891,263,777,369,501,195,
774,393,268,298,907,344,316,277,777,076,260,759,673,059,011,097,550,459,132,
052,599,290,865,534,739,915,093,061,908,142,018,608,972,308,841,697,337,032,
786,853,604,396,782,584,045,632,821,619,861,064,664,083,026,080,239,703,125,
828,607,764,733,782,080,202,938,297,129,780,803,026,399,610,136,745,236,994,
545,518,032,424,088,257,441,881,618,204,604,469,351,419,843,912,565,298,970,
281,848,637,728,373,902,940,804,188,157,241,410,341,915,526,032,358,374,979,
212,911,437,599,567,594,203,567,576,472,348,058,321,022,462,319,079,591,714,
507,282,905,109,080,894,945,124,977,708,353,815,574,352,048,370,236,152,646,
654,183,712,664,570,825,907,655,539,636,567,041,354,201,663,745,744,854,577,
222,381,793,893,655,321,308,629,662,800,488,151,240,076,169,101,898,956,247,
938,717,244,018,667,167,292,960,005,505,657,929,273,244,665,695,919,278,711,
608,317,072,061,996,035,289,581,045,157,194,131,400,366,346,933,365,601,628,
266,920,450,625,761,769,359,102,547,350,063,592,086,232,762,421,622,873,057,
619,517,924,576,769,243,068,434,802,650,890,314,784,059,775,293,414,525,598,
855,967,758,213,828,076,353,807,385,119,924,749,778,456,381,940,120,127,857,
598,578,689,777,100,807,376,328,419,641,079,677,117,137,312,447,999,274,644,
460,220,137,480,217,414,404,912,401,161,332,123,553,819,312,384,042,995,083,
272,994,543,079,764,137,784,210,437,594,398,198,453,515,391,210,225,564,026,
124,198,746,686,942,195,472,809,284,850,273,513,132,693,329,753,983,932,115,
723,051,017,107,106,459,817,750,106,248,759,925,225,390,533,634,825,733,627,
882,755,279,092,208,486,934,282,089,633,003,585,865,934,841,885,602,496,935,
505,499,632,241,584,162,082,355,246,255,677,972,607,127,177,870,643,756,203,
333,828,453,657,282,187,773,487,677,920,001,600,919,577,347,229,764,623,357,
057,564,541,863,096,849,325,940,837,753,881,344,935,613,666,955,283,260,962,
335,076,850,464,611,084,359,979,890,224,101,175,704,537,280,406,700,661,379,
260,785,643,678,567,261,968,080,912,392,185,376,720,012,273,270,925,534,200,
072,894,240,658,012,860,740,322,523,765,483,286,593,535,656,153,452,835,878,
784,688,266,697,630,645,817,180,800,742,360,655,096,952,897,678,549,413,068,
862,647,549,000,910,357,714,765,411,561,394,254,197,993,408,059,977,670,321,
248,651,332,773,017,151,796,891,077,860,120,512,314,417,131,959,259,003,817,
431,423,262,530,244,431,460,587,775,507,480,352,256,587,371,103,927,242,573,
600,647,030,629,513,889,479,197,768,951,173,278,029,717,348,599,869,093,468,
177,801,698,874,149,605,651,911,401,479,251,829,341,248,618,366,101,080,572,
325,554,935,792,654,509,518,186,057,183,550,480,302,276,085,752,667,097,360,
743,783,673,930,722,281,500,857,137,848,620,137,466,698,147,907,720,573,837,
108,039,252,365,658,037,796,898,942,745,305,239,546,467,621,106,908,403,992,
650,071,167,251,121,710,012,470,105,837,078,770,423,441,879,643,327,311,506,
136,816,122,394,184,159,662,078,789,339,651,149,219,841,152,950,037,071,488,
490,422,315,533,517,914,267,671,918,366,694,237,888,204,378,299,826,059,523,
704,711,035,983,508,490,459,458,530,062,914,587,603,696,642,726,125,781,931,
409,753,310,972,064,982,988,796,910,693,892,888,075,903,749,473,549,672,425,
043,666,600,373,883,601,135,244,874,181,163,227,539,444,315,086,493,634,294,
893,136,743,797,347,947,879,042,536,694,904,301,738,608,097,471,027,307,669,
231,740,898,201,317,051,483,334,626,333,398,346,193,440,596,320,696,398,416,
425,627,757,589,276,907,971,703,460,927,597,908,291,276,244,497,564,167,481,
998,412,923,710,946,384,056,365,213,650,768,188,470,903,582,166,386,197,183,
572,204,196,491,995,686,817,339,297,427,115,656,186,043,021,015,559,292,188,
699,341,211,954,395,116,166,458,895,500,108,865,460,292,167,848,539,883,323,
430,500,139,332,476,223,382,890,858,401,669,623,212,288,342,385,224,177,751,
655,021,121,273,830,506,425,392,861,791,575,689,712,591,143,699,597,132,396,
963,965,026,427,587,189,731,796,040,068,021,756,297,172,601,485,041,289,680,
294,267,917,110,887,597,571,587,017,793,938,776,506,928,172,664,083,316,814,
116,823,075,144,526,414,329,571,872,022,896,169,694,486,362,623,288,190,615,
897,656,107,696,958,352,388,990,645,408,102,078,460,553,230,114,580,505,683,
794,636,143,314,153,634,527,178,562,577,683,735,193,182,854,666,403,757,834,
425,756,955,981,774,501,313,502,095,921,826,252,274,356,878,637,212,270,326,
157,108,982,150,075,379,096,113,898,849,406,128,824,479,502,929,984,117,604,
304,326,689,527,576,004,142,468,956,056,039,377,516,350,860,404,916,928,116,
220,604,281,273,876,548,008,264,688,894,766,706,835,351,209,596,880,861,730,
705,291,878,701,798,403,587,279,962,297,047,827,023,109,289,628,590,244,906,
957,486,520,239,928,566,396,089,770,941,376,683,060,246,111,292,813,307,204,
091,089,055,283,479,114,455,081,848,877,263,669,199,972,739,499,761,593,177,
426,906,427,724,912,481,352,579,849,861,490,563,465,070,576,676,989,337,888,
110,566,362,005,656,325,591,594,328,657,618,648,197,916,410,063,639,969,607,
929,373,395,778,984,545,716,519,235,339,236,334,970,053,472,191,278,654,578,
308,091,107,256,822,599,109,061,698,437,108,837,547,994,367,919,769,314,688,
994,171,587,272,135,941,520,302,343,915,619,325,563,289,447,990,796,106,013,
779,367,265,575,363,627,518,494,001,021,943,314,954,260,423,513,501,105,647,
420,299,425,835,659,133,358,207,578,576,695,430,498,211,569,904,059,878,253,
647,775,854,063,227,187,373,913,965,672,494,569,087,267,139,677,626,384,624,
504,372,858,473,234,378,064,761,579,991,984,471,246,006,374,285,114,189,301,
692,076,366,039,066,198,754,710,173,912,830,230,712,675,235,891,664,679,166,
907,466,316,878,703,867,042,335,645,688,701,999,272,447,651,550,628,492,119,
211,743,282,202,072,175,630,724,380,315,183,073,020,190,456,898,805,541,401,
272,213,301,827,462,780,260,177,020,910,133,057,119,488,655,157,835,171,934,
255,020,429,542,531,938,125,508,514,458,950,626,870,341,358,070,411,096,073,
433,921,377,973,932,336,013,768,369,540,735,121,154,049,647,525,350,332,353,
432,860,970,306,676,424,767,562,874,521,703,389,706,897,294,201,928,127,398,
254,492,672,292,349,567,503,743,686,742,291,825,606,516,196,153,570,347,245,
600,625,433,485,146,601,075,108,172,581,659,394,429,937,216,429,218,266,212,
165,662,543,239,540,462,408,472,979,413,042,777,610,723,710,167,592,531,226,
444,367,416,143,944,065,004,922,241,432,084,200,861,811,605,751,539,698,507,
581,414,525,708,649,102,375,828,919,154,827,852,408,350,000,165,936,818,032,
536,846,325,927,321,571,935,397,537,547,181,060,188,213,480,174,200,462,371,
922,992,556,360,090,480,227,062,075,523,715,550,280,877,427,867,492,676,498,
968,021,710,215,044,576,116,316,698,433,888,115,665,013,316,747,201,674,309,
271,524,740,974,562,877,219,608,959,343,830,942,019,847,099,250,490,598,055,
340,232,148,451,998,653,600,661,514,661,174,497,043,925,817,691,491,423,344,
465,830,323,688,599,223,532,289,628,979,961,726,999,087,204,384,477,063,478,
578,623,264,553,909,705,669,842,184,742,170,269,099,897,893,186,490,020,059,
315,482,008,358,785,512,450,047,224,003,478,695,640,194,499,602,767,485,545,
224,771,759,950,727,996,564,508,552,519,865,429,892,500,490,902,046,095,008,
612,402,913,022,805,761,319,403,065,191,980,254,680,633,208,693,284,066,376,
821,881,135,230,565,082,581,122,000,808,992,931,335,454,509,467,796,509,422,
422,715,578,540,251,080,605,300,649,725,307,535,091,800,986,966,464,964,666,
882,355,488,429,291,163,036,209,145,326,919,498,179,177,653,936,950,298,664,
748,306,648,130,830,219,882,237,466,876,904,907,720,831,089,510,181,756,460,
580,437,714,419,548,299,327,123,705,964,362,692,585,932,804,093,691,613,836,
611,930,916,474,691,413,164,054,483,591,511,284,505,058,009,652,233,398,899,
375,757,077,142,496,289,402,806,937,441,915,434,384,716,413,288,573,599,118,
730,012,517,212,648,426,676,974,422,438,798,807,547,196,053,275,994,048,844,
893,633,140,244,014,960,815,263,989,034,407,996,017,315,285,258,934,029,764,
155,438,288,665,249,191,038,603,459,551,355,527,930,953,910,002,133,986,830,
948,040,807,450,667,083,525,147,147,123,671,212,490,268,546,492,385,099,033,
364,427,423,334,213,713,972,949,395,967,730,998,352,490,295,598,858,835,690,
300,987,456,099,851,966,896,121,831,697,986,789,977,561,174,791,113,091,128,
979,470,267,522,040,032,801,110,380,161,722,999,763,085,767,802,404,910,744,
737,479,028,151,309,646,127,192,997,599,453,403,744,463,229,502,403,749,719,
184,504,321,270,713,249,081,405,360,715,417,548,901,616,864,373,697,336,926,
698,890,096,154,340,920,371,424,895,943,471,365,463,024,022,013,365,334,247,
089,545,707,562,144,106,160,044,980,723,504,469,029,195,734,424,624,540,184,
245,453,967,522,135,208,288,813,372,204,804,042,127,831,339,074,900,753,404,
931,579,386,179,730,348,048,646,430,726,174,726,756,279,251,683,901,174,560,
562,962,670,677,813,637,761,905,751,976,052,609,589,742,226,771,193,011,400,
035,200,363,050,846,236,070,316,188,020,811,270,689,825,986,481,324,165,404,
997,985,288,064,337,199,963,600,566,028,424,613,647,636,765,018,331,952,291,
628,651,273,290,562,021,413,261,846,552,017,185,396,382,494,544,264,874,774,
054,574,533,678,318,010,002,674,625,215,091,975,827,809,036,504,009,582,068,
308,248,625,848,598,972,443,528,683,387,648,072,536,934,129,961,421,998,816,
109,166,196,978,182,035,744,294,793,682,536,739,887,052,243,974,087,123,533,
251,253,334,929,163,258,449,904,330,627,200,581,790,138,900,699,667,597,616,
350,747,737,682,100,606,040,800,536,444,290,131,555,792,652,836,751,289,041,
513,014,817,057,399,887,646,761,514,428,886,749,616,535,119,221,341,007,147,
138,481,967,183,332,952,137,593,144,657,822,081,732,028,431,525,872,220,192,
678,842,813,937,607,679,495,353,401,867,771,967,393,130,808,269,450,182,800,
146,271,560,305,579,870,500,369,406,411,641,765,625,714,192,168,211,537,303,
425,513,190,814,378,745,057,768,503,676,711,317,004,226,349,383,378,177,378,
087,217,265,909,446,277,318,269,122,873,320,422,136,600,383,990,180,064,189,
184,757,478,169,543,373,031,464,692,181,488,977,790,573,005,999,363,855,245,
396,864,232,100,212,340,701,403,265,763,852,142,055,998,582,958,822,186,369,
394,985,509,815,241,087,865,196,274,003,905,631,254,103,250,791,117,561,061,
918,230,555,269,124,429,841,633,783,760,208,383,313,827,250,228,868,503,286,
118,173,117,073,886,256,942,010,418,134,970,657,380,416,010,309,044,254,909,
227,472,256,080,390,758,588,938,444,623,484,485,848,858,031,938,663,248,359,
055,286,362,262,518,226,142,766,552,827,681,097,358,076,375,964,216,007,248,
767,421,921,662,444,245,734,092,772,388,371,137,119,642,044,286,901,741,332,
241,511,531,192,012,811,334,613,582,707,537,789,136,198,689,154,341,281,526,
695,207,412,497,619,024,728,614,658,243,680,282,716,275,708,268,749,246,591,
285,639,022,202,859,149,121,948,033,687,027,079,927,870,087,998,846,137,688,
840,502,596,407,993,754,314,834,223,625,834,686,618,004,301,496,608,250,890,
583,732,423,742,820,717,362,529,424,438,448,669,854,912,044,339,864,747,899,
238,758,544,077,195,328,475,199,566,735,440,179,883,291,305,251,707,274,802,
686,837,278,975,423,686,709,528,607,262,406,688,578,549,129,075,839,549,420,
342,832,957,721,411,688,766,379,780,031,877,234,264,997,677,702,180,709,012,
336,469,465,265,658,146,807,412,041,998,522,149,932,517,452,205,373,690,588,
514,646,806,293,220,395,959,880,996,035,019,136,772,665,211,181,421,610,190,
847,298,682,303,441,212,778,322,963,854,041,875,858,156,048,471,099,789,885,
670,395,093,708,337,293,228,703,695,874,656,682,534,502,413,653,252,676,792,
984,740,791,707,884,383,626,737,869,028,482,895,847,439,915,383,359,608,641,
271,112,304,518,208,135,212,156,611,171,659,343,427,514,667,014,894,805,540,
634,977,850,300,283,407,805,724,725,184,260,150,894,700,252,997,132,920,677,
481,657,516,600,640,762,520,325,816,828,816,204,270,024,921,456,298,687,635,
251,522,852,984,231,347,652,500,533,302,542,949,837,638,882,065,204,294,213,
756,539,641,647,001,438,194,731,077,116,966,244,972,819,040,377,485,524,641,
125,984,607,035,663,561,094,895,606,311,511,969,247,597,574,744,123,282,440,
519,021,130,907,474,415,168,935,480,803,503,198,984,312,373,408,135,669,522,
325,430,043,074,965,202,249,637,853,897,139,553,081,435,621,581,073,233,989,
903,290,262,045,458,548,952,433,048,775,268,592,026,080,766,808,938,639,684,
700,442,077,300,627,998,058,671,985,916,437,510,084,226,704,787,546,505,550,
737,280,960,705,050,148,870,161,273,440,780,751,759,713,011,181,528,753,011,
925,282,959,169,473,696,189,974,265,938,404,514,837,950,287,805,492,792,990,
177,863,625,161,974,932,238,382,557,361,660,613,681,136,426,967,619,278,603,
142,048,810,642,331,841,561,576,313,596,658,492,513,556,939,091,496,010,850,
599,480,091,510,568,124,894,676,348,674,916,003,431,389,989,154,094,798,687,
892,744,814,964,656,765,406,625,097,085,577,517,198,164,825,951,494,364,112,
735,741,218,863,684,980,196,802,341,816,177,210,694,078,475,162,577,853,906,
146,609,037,591,729,944,806,739,766,399,395,484,804,224,763,822,503,893,300,
987,639,850,998,685,642,052,373,027,511,051,164,850,013,248,565,753,067,518,
815,906,016,849,631,628,647,012,441,480,653,533,041,326,628,439,897,816,839,
464,305,035,923,648,524,187,175,439,772,084,002,168,864,832,012,533,279,322,
283,940,839,256,083,722,929,978,685,918,751,038,213,183,930,215,259,196,124,
582,921,577,802,858,836,818,345,792,433,923,069,577,847,101,233,384,723,593,
685,543,016,204,311,239,810,094,614,750,687,187,395,807,577,265,367,565,374,
142,060,691,188,195,990,534,977,493,713,732,192,341,041,395,009,331,472,510,
183,645,731,253,808,372,596,698,287,912,140,780,352,872,808,519,085,656,163,
959,959,787,688,780,367,015,674,790,567,999,194,153,820,622,557,876,458,017,
583,345,088,131,665,734,671,902,842,534,542,791,875,917,457,049,080,919,429,
595,852,323,890,277,631,835,456,326,731,493,249,248,381,879,763,891,513,676,
657,822,474,827,777,327,185,576,252,054,217,283,475,593,948,750,656,630,692,
674,936,844,592,759,986,873,328,886,996,129,468,702,150,808,195,084,404,123,
027,873,880,181,952,507,377,820,185,693,239,084,901,630,181,478,426,168,290,
918,836,259,486,750,402,103,303,805,582,757,864,375,094,766,489,456,630,437,
379,501,753,984,804,253,928,832,665,005,965,321,974,037,521,599,966,809,791,
463,769,625,936,137,813,978,801,260,386,220,927,674,414,302,042,738,374,772,
159,704,192,311,938,056,524,716,873,737,740,561,503,718,600,386,459,275,786,
938,580,147,045,515,011,693,406,186,936,428,283,757,727,961,855,578,516,493,
416,272,659,762,736,906,513,595,099,917,451,003,981,309,296,764,215,017,997,
431,079,144,361,902,113,511,677,218,444,029,770,250,090,256,716,385,062,147,
855,304,802,248,778,338,521,744,914,157,375,216,721,839,921,408,992,127,583,
270,212,280,045,127,358,100,846,270,485,254,182,470,871,532,533,657,791,496,
654,278,698,942,356,952,309,315,596,086,017,841,275,468,807,266,868,751,047,
838,959,555,775,481,551,393,925,487,828,529,266,367,518,255,414,722,734,142,
173,369,587,094,455,662,567,700,820,040,008,483,943,879,939,856,428,547,286,
228,765,607,719,366,369,946,263,257,343,975,698,161,356,911,455,218,454,829,
825,714,847,034,218,011,248,524,305,180,421,967,561,512,131,797,335,682,571,
949,962,574,986,167,190,440,736,182,048,869,958,145,724,310,546,075,746,950,
111,495,427,301,087,535,873,142,799,293,338,444,461,458,830,215,114,809,323,
783,641,166,988,852,759,180,539,707,419,376,361,448,345,846,270,039,276,967,
150,218,771,480,074,507,660,441,903,403,911,187,635,849,923,838,775,306,866,
254,165,037,387,912,087,668,110,738,545,203,086,162,023,865,088,314,783,470,
004,234,216,799,059,435,534,677,015,275,457,310,148,467,185,343,239,492,354,
942,332,888,528,383,943,220,733,712,792,659,255,687,684,482,216,081,851,006,
946,330,196,908,254,659,814,261,850,433,890,715,658,654,766,968,043,273,577,
304,462,142,054,735,092,229,621,039,261,846,159,758,193,820,887,888,232,218,
431,630,188,037,295,104,951,610,550,875,658,761,201,168,369,481,516,903,977,
425,360,496,497,910,181,978,979,748,154,956,708,859,720,000,473,651,654,529,
822,962,004,202,791,557,383,258,221,189,075,692,501,914,555,835,302,678,592,
938,055,444,438,864,247,937,595,033,565,367,302,289,107,193,524,320,571,095,
052,142,124,406,259,790,490,582,475,361,272,303,529,804,075,925,422,704,283,
568,276,202,895,256,909,933,671,030,198,811,479,001,788,519,756,238,330,523,
530,124,588,069,723,377,493,061,170,399,110,710,691,484,373,111,812,829,654,
697,915,788,731,267,374,874,881,514,258,312,362,642,094,233,688,302,709,954,
859,122,127,629,464,709,451,571,054,480,925,728,163,821,358,167,476,907,891,
645,865,384,124,399,435,872,238,851,283,211,554,600,016,004,000,153,388,466,
666,453,803,074,007,328,875,473,169,908,456,636,966,845,739,112,386,614,123,
782,376,810,152,172,319,038,970,063,856,559,651,386,717,944,323,573,133,408,
975,443,697,888,139,979,546,889,911,775,604,157,086,252,769,106,356,024,566,
756,993,590,517,889,464,208,421,244,528,156,072,030,755,366,512,216,496,480,
803,436,940,129,525,526,834,393,402,023,911,092,719,059,718,500,447,665,560,
621,615,486,727,681,644,183,941,908,102,548,673,906,495,851,153,935,376,963,
476,597,904,775,239,816,555,909,303,874,042,214,556,604,419,997,858,967,830,
372,611,033,716,946,143,699,786,185,278,690,966,280,485,031,154,637,353,412,
563,327,020,174,810,777,183,346,079,109,892,155,692,850,403,468,417,032,002,
033,010,583,545,264,577,801,554,825,662,919,194,809,801,319,208,558,187,798,
878,488,058,985,226,299,796,967,404,854,547,069,308,483,659,695,739,220,247,
583,827,244,723,557,773,981,436,557,453,436,108,794,090,932,168,665,844,971,
603,281,877,157,474,897,131,105,480,130,762,494,486,410,587,514,775,538,314,
634,815,351,602,255,675,575,840,571,840,221,093,890,927,053,870,921,226,749,
557,072,571,361,098,253,700,931,538,105,636,838,968,102,205,821,544,841,870,
833,810,544,046,999,277,511,051,019,359,363,456,086,259,524,700,319,464,346,
203,291,757,492,505,240,041,776,017,159,132,117,833,104,207,907,701,874,409,
519,857,442,481,178,126,250,687,711,478,333,470,580,484,658,907,022,714,517,
007,658,935,324,475,179,369,476,700,928,791,998,971,244,303,778,909,023,261,
737,626,340,872,884,935,356,275,725,002,275,435,334,920,950,496,055,456,493,
626,341,465,629,066,525,707,615,336,917,881,935,556,816,422,075,094,119,739,
613,720,968,265,307,384,984,735,327,315,386,901,373,823,045,339,483,874,710,
004,053,006,613,008,904,024,968,369,267,149,001,962,850,373,074,729,616,333,
543,144,331,490,784,074,282,720,214,430,482,176,354,505,753,663,529,596,962,
537,062,155,458,185,936,617,206,070,548,833,835,067,657,752,590,861,129,725,
196,655,433,165,013,348,507,236,953,406,635,803,390,994,546,173,806,839,157,
540,906,021,315,862,840,418,890,728,583,645,920,769,371,615,888,557,603,376,
857,907,356,862,661,969,156,659,181,050,745,009,626,326,082,337,638,659,367,
511,324,692,370,169,910,362,393,580,909,076,247,007,834,097,342,727,755,468,
968,770,727,546,180,833,647,899,424,274,986,145,120,519,132,642,678,990,616,
449,527,279,436,704,063,119,181,949,220,275,917,396,549,997,891,962,277,138,
249,914,106,519,475,142,247,279,781,251,207,498,239,996,996,099,939,654,730,
756,725,765,563,063,217,097,225,555,776,149,353,804,667,285,626,115,735,845,
013,096,866,884,359,140,992,373,913,266,939,134,915,726,313,637,372,235,536,
419,274,067,809,778,996,113,805,551,704,523,775,861,030,266,113,830,878,850,
059,843,685,045,549,368,805,605,748,692,498,078,953,538,616,481,780,586,780,
157,777,648,978,114,085,267,954,711,785,452,304,397,674,220,834,812,001,123,
525,224,180,109,597,281,441,483,667,174,414,458,621,671,662,968,050,569,037,
691,991,133,490,953,707,778,101,586,940,432,298,528,677,427,603,161,214,497,
367,723,036,988,898,155,734,160,618,719,932,705,658,699,114,870,074,762,102,
219,870,708,107,785,830,654,615,218,265,353,493,111,013,108,749,518,207,417,
772,764,917,843,748,747,754,297,329,774,891,253,953,629,466,374,102,700,012,
730,150,638,367,707,862,713,845,891,866,411,328,875,103,929,429,343,396,909,
557,617,397,031,588,917,660,501,340,097,825,139,543,387,870,430,711,442,115,
159,820,996,352,236,708,005,732,628,682,909,815,165,437,267,939,544,653,260,
667,095,052,373,599,035,731,847,602,579,249,049,494,900,305,670,041,773,414,
435,643,773,574,167,157,981,779,590,063,790,006,522,309,884,705,379,391,352,
149,185,775,675,820,852,597,655,136,400,515,797,704,104,143,937,303,107,592,
464,710,548,084,137,860,333,464,729,620,011,196,661,682,028,910,644,234,642,
219,283,996,956,404,798,283,720,704,228,450,417,527,402,458,360,715,595,112,
809,093,829,353,278,753,266,084,907,809,555,790,219,407,241,226,224,670,141,
667,956,991,914,960,665,107,821,446,685,075,413,003,272,250,740,301,031,650,
110,532,554,395,147,973,658,901,806,265,736,935,825,826,850,614,140,640,765,
747,801,602,779,806,900,204,558,532,381,956,764,513,918,477,084,261,452,320,
016,412,078,557,860,401,242,292,117,606,643,834,340,989,990,787,484,314,010,
841,818,616,950,938,908,876,676,441,010,225,038,499,282,572,923,324,032,129,
241,416,504,010,990,167,339,974,532,873,232,173,444,658,865,623,736,907,600,
110,046,884,757,305,398,666,056,146,480,062,027,353,782,069,823,484,937,614,
533,576,319,873,138,300,462,007,783,010,760,012,843,980,769,954,923,009,608,
753,409,170,329,164,526,407,746,171,173,777,270,511,607,648,006,502,149,919,
235,355,796,338,874,587,359,637,037,888,949,607,279,242,196,466,202,847,687,
801,992,608,617,471,729,474,636,824,403,632,839,880,582,969,056,240,245,139,
531,688,045,775,504,452,824,785,740,659,411,983,988,359,566,713,995,630,698,
643,200,919,376,498,161,844,313,530,996,079,096,963,631,297,011,661,243,501,
434,447,496,442,886,891,839,502,906,458,163,301,248,210,505,380,165,646,042,
904,857,416,015,143,573,651,902,876,162,001,424,949,011,495,979,563,752,753,
854,976,811,300,177,490,809,562,606,034,645,364,401,671,629,839,053,830,567,
421,927,680,507,158,716,709,943,553,851,146,176,695,597,732,349,200,079,181,
001,528,194,335,929,693,139,481,779,852,626,059,640,916,858,104,304,113,970,
438,811,745,902,673,577,114,959,592,538,861,160,037,091,248,224,910,952,482,
558,386,009,369,768,837,151,146,917,692,491,297,525,932,788,600,589,922,166,
515,031,784,072,065,727,121,263,115,389,401,036,254,081,919,980,357,431,469,
807,258,926,738,855,780,507,169,221,980,232,890,418,108,675,024,958,299,514,
523,783,115,630,559,026,376,221,217,029,414,635,158,766,350,465,485,866,306,
584,014,840,630,863,777,147,278,245,323,234,124,224,725,400,426,083,327,658,
563,557,263,040,036,352,676,222,301,987,560,433,884,647,111,675,222,602,410,
289,693,727,432,303,928,338,284,656,586,383,268,847,868,615,324,013,933,159,
057,044,542,031,083,991,718,987,486,018,843,113,182,886,151,739,726,304,363,
785,902,696,550,341,579,705,593,332,901,680,260,307,573,696,733,482,695,807,
440,736,548,220,745,455,212,671,370,866,846,813,872,402,034,926,074,661,174,
321,643,568,060,278,035,923,937,965,389,054,227,866,339,695,402,348,659,999,
754,847,192,237,301,698,882,978,718,830,820,868,583,776,635,228,301,794,454,
705,617,453,127,066,539,941,603,984,582,247,361,434,428,749,813,930,715,058,
000,195,098,207,254,768,555,966,351,368,093,046,687,258,215,365,096,191,854,
461,882,457,223,398,727,542,771,923,733,021,134,389,401,622,764,944,719,925,
384,862,108,457,315,572,085,740,135,587,704,240,361,715,607,883,797,980,030,
436,248,113,609,704,260,677,342,816,128,780,578,723,460,474,978,264,437,613,
895,630,015,210,808,353,080,619,440,877,223,306,349,450,819,826,572,492,293,
822,458,027,615,964,900,683,576,611,645,374,191,862,790,971,335,037,055,487,
779,793,079,303,650,448,271,109,671,671,906,032,352,838,456,596,961,483,444,
573,819,316,128,466,619,273,416,809,911,315,478,606,589,623,345,972,522,915,
338,032,578,780,419,413,970,745,963,506,383,148,099,293,599,111,757,218,758,
156,864,292,667,994,342,265,625,981,412,170,623,074,722,058,508,689,040,409,
044,243,253,600,722,850,998,660,115,295,789,292,321,965,439,151,864,634,341,
371,407,621,838,941,152,441,894,874,952,360,544,204,257,771,714,679,100,639,
472,530,027,071,080,202,421,624,516,339,473,851,746,925,530,050,069,814,420,
804,004,304,753,394,452,238,418,251,193,767,946,155,542,948,096,030,999,805,
674,741,181,624,828,953,704,477,980,547,101,610,762,378,429,539,677,034,205,
162,589,955,513,725,936,414,497,575,767,101,405,768,249,176,516,834,096,734,
024,928,220,583,328,047,268,001,499,341,704,728,890,368,065,957,178,994,775,
248,921,499,171,183,401,443,132,939,984,415,595,709,044,407,034,070,917,632,
390,126,301,614,016,489,023,736,457,833,119,347,364,363,531,173,815,214,932,
759,872,923,541,132,218,457,250,571,586,933,935,720,182,682,606,995,570,182,
424,769,975,897,045,883,034,796,482,637,980,780,096,231,502,223,449,001,671,
121,764,564,904,391,308,909,967,170,926,146,328,280,014,867,734,340,941,323,
970,270,069,663,462,684,700,092,310,263,679,290,314,165,467,726,376,328,672,
288,591,727,267,420,693,292,192,866,616,324,004,532,854,704,767,157,612,005,
270,499,327,480,636,433,460,646,432,883,404,487,550,590,158,807,403,817,967,
614,722,458,680,863,015,899,168,646,614,299,123,694,630,628,879,493,618,071,
311,224,879,727,725,461,197,800,713,721,989,586,110,321,670,129,261,874,719,
134,161,069,349,894,666,131,348,070,419,341,586,437,353,797,649,826,645,596,
187,179,391,728,788,873,356,438,025,111,031,149,745,742,576,448,728,137,946,
089,432,386,549,717,557,321,050,363,613,615,260,908,146,602,169,665,592,606,
735,846,951,431,840,335,697,455,016,689,342,592,576,916,812,209,252,027,275,
927,127,731,041,596,636,067,624,416,024,569,957,530,031,435,314,617,579,697,
713,518,027,951,290,915,970,612,750,305,094,800,100,675,866,786,639,428,517,
486,255,306,761,024,339,835,752,939,653,089,281,088,134,292,608,258,218,138,
876,165,003,880,106,629,005,386,323,688,083,081,892,779,687,416,406,081,648,
064,188,793,589,802,444,225,998,917,585,365,685,938,759,357,011,808,253,481,
289,524,505,503,289,687,722,102,072,254,603,588,231,377,948,098,192,632,031,
298,957,441,412,710,252,265,186,378,136,925,029,291,646,177,632,771,474,007,
883,541,614,611,166,144,524,342,072,634,544,510,578,529,407,687,581,243,181,
884,333,181,986,294,969,067,685,578,298,809,172,624,872,602,686,090,134,901,
602,251,577,433,439,100,455,103,680,326,241,701,423,975,469,953,130,717,880,
155,936,086,519,386,872,405,332,387,714,029,438,900,288,185,269,319,219,472,
813,219,759,571,989,581,548,859,541,343,787,318,376,966,595,157,406,356,207,
195,349,804,026,909,806,113,048,873,145,208,604,473,165,931,604,187,882,069,
914,034,356,884,195,494,106,673,155,064,430,816,299,693,971,775,523,491,477,
905,172,762,409,112,618,945,949,504,324,319,692,957,569,882,270,116,466,413,
886,719,732,534,212,270,140,912,827,955,911,192,695,707,302,266,967,405,270,
854,673,623,339,893,650,450,849,706,370,610,491,683,367,883,913,277,432,793,
689,814,830,548,606,618,408,803,516,354,251,536,197,466,641,625,662,184,666,
584,005,862,425,029,413,278,238,943,888,882,978,670,648,366,676,508,420,903,
077,468,475,960,266,285,632,019,516,426,035,596,574,913,005,520,596,277,730,
686,709,545,117,480,638,024,947,948,987,354,680,063,235,555,133,408,102,137,
323,871,982,436,275,050,329,670,114,421,277,151,172,121,683,864,957,561,009,
008,912,576,067,123,674,417,798,358,319,854,968,798,264,829,518,676,258,695,
499,075,426,037,540,173,451,011,108,535,231,058,737,906,524,094,029,138,314,
482,205,998,294,097,926,370,341,019,480,922,103,735,078,865,057,206,921,983,
786,404,744,641,387,273,337,870,212,808,980,254,478,327,487,396,448,339,360,
570,549,630,857,848,337,384,654,663,282,042,380,911,493,127,324,050,459,115,
741,334,781,737,709,537,371,742,898,549,827,078,048,218,588,911,971,342,228,
076,361,910,145,354,314,605,444,186,457,691,390,183,184,318,949,408,843,563,
905,474,483,776,669,991,599,984,248,140,596,584,076,664,296,556,332,864,161,
631,922,153,927,977,706,989,910,016,457,711,138,048,691,837,193,315,576,290,
383,516,260,136,928,354,001,541,605,351,810,663,694,531,031,388,061,443,514,
733,398,753,270,745,814,834,191,814,578,553,004,077,674,555,647,319,974,210,
148,886,636,369,092,809,535,602,512,635,587,294,822,540,207,543,034,676,425,
681,611,576,091,521,181,653,247,490,342,533,026,564,576,986,317,415,004,144,
907,648,926,451,228,743,518,616,424,956,220,044,460,887,054,755,612,076,848,
243,170,243,723,100,937,352,851,955,965,755,945,701,025,516,552,756,936,562,
918,374,433,504,705,714,338,966,327,006,488,692,365,531,370,164,162,647,293,
404,522,435,834,458,817,238,914,537,413,044,066,187,918,980,088,322,201,302,
129,206,669,744,454,524,255,068,319,863,538,207,873,441,278,725,701,757,566,
488,780,803,449,903,823,605,710,592,685,507,464,123,803,206,528,552,865,914,
331,991,902,904,631,385,929,698,617,972,256,654,995,942,744,639,492,452,725,
590,478,334,481,733,169,793,646,778,275,694,153,229,915,162,662,747,783,640,
456,946,254,606,717,069,863,327,190,446,658,414,554,082,537,370,559,579,343,
407,009,770,458,790,108,511,357,695,402,845,239,741,628,501,545,868,047,561,
254,897,772,238,308,973,540,098,537,901,151,119,276,693,369,122,983,191,107,
404,713,102,785,927,956,057,026,749,088,237,787,678,643,357,289,278,773,625,
948,201,112,777,351,498,055,088,856,206,816,723,189,289,178,753,556,315,483,
588,715,202,641,303,525,845,706,574,050,107,654,060,573,222,174,242,807,669,
870,835,585,866,949,246,437,815,314,250,437,106,799,486,616,649,019,812,063,
112,844,151,987,275,435,613,680,647,423,379,962,270,481,181,928,249,357,475,
473,430,776,567,985,462,411,370,908,860,514,242,444,941,358,407,009,705,235,
359,600,688,213,329,740,626,505,062,966,419,385,881,286,540,772,484,037,549,
019,922,607,965,741,722,887,122,048,492,726,478,753,731,600,867,069,531,513,
252,074,673,918,742,110,246,237,862,739,987,829,596,837,697,737,168,238,029,
263,698,644,505,401,761,909,419,900,265,910,007,146,220,971,895,503,691,462,
211,969,078,050,728,740,657,944,611,151,144,129,846,125,349,673,290,606,732,
427,664,764,283,388,093,065,084,132,361,928,297,667,141,763,591,105,784,461,
227,833,084,382,610,741,892,504,264,008,387,729,523,452,974,060,448,988,743,
349,932,382,838,453,605,216,062,251,779,971,681,724,992,796,371,967,717,834,
499,547,253,367,925,294,675,256,452,868,805,152,545,798,478,430,846,261,009,
601,679,128,145,488,442,172,989,172,653,249,294,936,796,172,823,370,007,753,
430,831,516,184,122,367,301,009,774,550,705,323,807,818,228,564,558,187,367,
823,286,804,019,982,761,728,666,933,144,938,017,412,702,817,563,175,150,094,
809,763,738,053,706,849,393,206,227,995,648,178,483,466,186,726,178,044,175,
655,185,376,869,332,536,143,175,248,126,763,906,481,858,237,886,659,267,790,
081,021,085,545,931,812,267,056,074,874,232,352,149,783,292,081,551,826,172,
926,296,195,781,576,780,769,858,911,427,501,756,999,334,681,311,145,149,511,
233,284,388,108,581,287,804,948,265,235,078,461,407,071,872,546,984,089,012,
319,146,760,832,193,130,536,313,714,314,273,324,767,158,457,210,013,281,809,
645,798,419,747,509,055,848,363,574,577,280,254,195,984,246,651,659,980,706,
743,161,510,535,079,392,824,585,948,368,340,984,588,576,624,939,494,061,665,
233,237,359,137,423,470,132,963,047,912,355,886,753,110,030,515,800,775,451,
443,204,591,201,731,436,352,227,662,008,045,041,090,436,272,997,460,690,160,
671,881,530,771,753,811,181,702,837,754,455,163,718,770,393,516,595,404,663,
418,093,572,309,368,686,658,506,853,204,917,595,984,389,595,246,797,372,279,
194,183,945,618,903,081,204,675,739,295,361,208,858,653,777,016,538,631,652,
065,980,186,645,911,875,069,330,793,421,909,236,937,342,065,235,514,452,323,
668,578,074,410,681,600,029,929,670,079,607,701,017,806,469,358,020,422,201,
920,005,987,639,641,850,613,287,862,361,361,154,497,339,659,249,391,230,442,
501,706,214,013,263,036,149,429,732,509,336,646,637,023,456,225,052,993,942,
926,158,500,413,741,561,869,782,486,136,100,758,797,751,319,924,154,462,331,
282,735,949,044,528,133,235,998,735,427,186,231,459,082,758,071,739,070,456,
453,506,557,365,180,623,973,441,577,984,401,330,826,406,364,333,838,154,255,
810,431,449,786,590,175,965,630,837,971,600,985,163,053,011,159,312,928,246,
767,732,138,154,229,645,444,302,796,812,910,652,033,588,677,924,466,392,016,
444,162,565,039,788,097,550,221,814,929,776,298,315,130,095,578,406,699,936,
346,409,763,295,724,100,934,408,387,655,430,862,811,938,413,492,906,688,484,
285,192,886,474,311,153,026,537,812,635,790,735,813,389,399,014,211,970,451,
191,102,422,068,092,306,384,789,553,259,974,251,270,017,652,239,412,277,560,
067,861,065,275,462,449,008,571,207,036,397,223,259,279,345,339,290,383,452,
805,657,984,108,282,618,625,509,473,740,756,461,606,591,039,892,319,509,013,
307,598,575,577,848,543,241,028,536,476,208,673,139,404,380,552,624,872,427,
150,916,241,093,216,624,282,504,045,138,943,764,303,978,058,401,558,164,718,
056,223,863,118,713,434,673,954,661,209,750,040,668,157,436,732,384,643,104,
637,778,675,866,949,921,632,312,407,372,092,088,797,123,221,906,423,598,983,
801,439,745,273,284,585,022,051,794,954,259,852,544,064,184,402,712,869,447,
276,719,716,289,904,436,575,896,957,094,431,415,617,443,561,100,467,101,112,
125,876,287,536,339,761,954,981,326,540,990,243,676,321,090,510,151,997,898,
166,368,556,688,294,639,267,940,555,320,771,057,015,871,755,799,473,850,858,
095,442,268,964,539,477,343,655,791,375,960,904,261,838,744,689,705,955,333,
910,342,459,871,746,912,423,363,627,690,359,680,979,979,666,372,934,467,245,
757,724,970,284,271,474,663,208,857,520,301,237,665,582,606,072,893,904,918,
296,073,590,624,962,177,041,985,080,001,469,274,673,609,694,318,346,968,524,
443,221,409,566,273,345,026,355,121,015,262,019,642,468,418,178,147,600,009,
876,067,839,664,454,260,204,774,428,682,739,832,216,379,043,634,311,650,280,
248,955,380,267,415,804,851,399,642,974,431,153,384,625,021,661,520,985,188,
140,728,290,751,961,983,906,958,138,604,870,486,511,442,874,006,529,717,799,
681,725,532,069,726,212,856,830,965,333,029,925,388,107,598,966,261,313,662,
161,190,086,727,687,668,649,036,657,599,573,843,719,546,181,835,402,562,108,
405,675,457,592,693,257,034,304,995,624,528,827,076,138,509,124,825,016,074,
087,188,252,685,130,759,316,306,350,530,445,754,564,475,975,013,129,001,604,
607,850,574,808,731,319,371,774,225,154,446,069,926,171,497,645,320,116,344,
820,550,142,492,836,882,063,309,381,791,852,048,308,189,877,693,513,324,090,
453,501,589,065,115,441,954,644,915,467,820,369,077,318,074,540,542,838,900,
298,703,944,000,348,443,644,314,403,257,422,249,409,178,238,640,716,384,278,
796,571,716,294,256,540,247,979,360,241,982,872,036,922,591,678,731,975,622,
602,968,675,921,049,982,588,098,827,376,596,075,046,806,501,660,269,463,497,
096,658,976,377,569,999,053,703,234,070,802,795,162,278,759,737,276,859,072,
826,968,570,482,814,961,476,057,406,055,679,359,259,785,618,308,573,808,553,
525,021,809,172,012,469,207,131,983,991,449,761,782,034,509,196,568,808,683,
565,640,123,815,805,885,207,471,507,688,618,919,216,344,950,724,537,519,309,
032,625,656,823,874,907,142,215,673,745,940,769,537,046,655,845,619,006,567,
808,312,112,127,152,487,659,368,169,195,006,276,199,064,814,968,287,511,714,
656,001,880,379,543,494,815,963,147,877,575,693,713,345,990,095,665,974,530,
284,598,440,114,151,622,098,554,054,512,686,642,946,054,222,001,273,305,497,
930,880,046,842,508,260,015,286,987,784,910,505,284,374,828,414,380,949,257,
121,921,946,507,814,331,566,577,032,910,512,106,532,942,548,542,071,129,804,
074,735,023,300,109,529,528,589,224,309,579,824,763,164,533,780,054,432,448,
969,315,461,989,747,826,025,641,172,544,496,907,350,652,877,258,510,602,955,
089,517,835,545,178,398,137,725,861,220,818,823,236,524,804,960,572,397,155,
777,102,072,878,347,009,429,373,121,665,999,611,041,390,454,666,424,538,879,
789,037,370,699,925,956,064,114,054,803,999,566,810,109,715,969,582,176,113,
844,892,545,754,851,313,706,141,518,432,667,812,086,576,813,522,512,449,591,
748,941,401,047,752,932,341,102,004,217,813,938,042,594,314,828,009,744,227,
722,707,126,251,310,075,510,714,183,189,432,447,351,074,186,933,924,909,063,
864,269,627,112,432,052,223,010,635,221,020,234,627,608,817,097,012,034,229,
655,267,675,481,421,369,128,861,563,071,700,654,644,659,312,826,682,990,426,
450,809,441,278,567,661,650,083,773,468,442,537,687,143,738,944,521,745,604,
715,173,761,724,362,929,450,758,941,409,450,550,924,629,179,092,552,013,056,
896,981,570,477,994,324,285,078,844,655,156,198,575,067,566,762,247,033,973,
087,625,565,846,364,536,980,019,756,997,626,069,285,888,489,151,435,823,259,
159,292,274,676,704,413,147,942,897,823,028,888,963,334,439,155,812,000,689,
003,680,323,852,606,860,026,219,601,197,104,966,130,205,924,453,632,094,456,
134,531,880,401,735,506,310,842,737,783,124,644,912,246,912,605,247,153,368,
565,174,041,138,214,162,618,707,423,394,425,679,005,056,816,755,322,875,476,
736,792,520,467,519,704,259,180,418,642,554,530,563,394,930,310,315,385,316,
482,956,581,706,342,135,993,230,921,233,656,759,512,065,939,118,224,009,184,
462,259,769,232,263,445,983,033,858,952,768,757,025,150,940,182,314,306,204,
902,158,730,849,223,224,149,478,192,293,367,137,477,697,176,697,240,472,201,
283,790,183,860,640,170,597,673,542,201,753,266,047,409,128,861,594,329,910,
341,308,843,324,047,141,485,148,040,844,619,632,058,417,090,591,113,920,747,
528,833,672,913,503,228,629,864,259,755,707,556,281,408,140,518,463,853,876,
944,423,350,547,255,150,271,666,241,844,927,319,897,019,677,658,761,125,139,
040,662,984,082,174,156,775,378,270,917,298,038,309,047,848,058,915,613,887,
116,434,096,633,969,491,241,312,473,398,215,110,253,083,133,350,774,021,563,
241,640,638,810,746,486,911,296,939,653,844,548,757,101,966,276,808,856,742,
299,846,721,697,772,522,218,974,995,322,079,249,125,983,477,802,973,536,175,
538,554,024,724,420,931,417,880,932,571,459,556,462,310,308,112,474,646,391,
258,537,323,422,711,378,567,157,170,934,408,298,382,833,637,669,157,015,583,
820,458,421,592,835,917,734,428,075,271,245,228,812,078,560,544,527,653,574,
227,251,017,051,684,053,857,227,848,936,473,798,073,114,535,287,734,725,111,
937,338,815,630,948,306,741,997,328,452,682,583,990,660,049,292,785,660,839,
048,509,845,114,559,639,510,705,434,718,325,610,711,380,072,197,722,242,960,
936,370,856,525,629,458,571,276,508,634,167,309,437,505,962,198,992,374,088,
776,720,290,566,870,313,730,690,239,748,906,760,618,229,936,483,199,092,293,
387,537,222,538,855,771,979,530,512,976,299,482,461,627,916,753,201,649,893,
518,960,823,067,503,949,448,424,560,231,396,096,543,733,784,976,647,372,509,
663,537,164,300,458,402,107,617,914,518,333,348,175,813,772,088,312,839,142,
827,020,464,969,185,165,839,080,605,291,401,845,437,936,138,809,429,844,140,
885,252,217,932,019,677,272,731,795,714,383,664,250,929,103,948,679,966,874,
388,376,831,056,062,138,183,574,903,614,887,031,553,309,741,674,725,896,234,
433,526,483,054,125,175,622,174,924,325,190,204,695,730,516,008,695,284,879,
485,228,501,992,248,460,301,298,786,549,036,430,187,837,289,929,844,284,017,
663,368,371,679,225,284,699,595,428,395,046,287,667,133,651,562,019,745,165,
065,084,447,453,402,470,473,380,534,994,193,277,906,414,960,790,082,433,638,
856,633,615,886,002,465,302,579,425,979,169,113,187,032,290,203,934,467,996,
504,920,514,073,506,966,452,774,961,972,428,250,481,713,252,261,545,482,580,
092,635,517,452,999,983,645,276,272,010,860,829,571,290,324,884,197,699,937,
038,828,925,281,353,108,653,722,498,588,377,837,108,163,886,346,695,704,507,
195,541,274,788,212,036,992,068,372,644,206,997,693,278,375,310,516,200,751,
320,291,167,109,003,576,124,258,834,609,761,962,536,834,920,246,129,893,991,
239,209,745,633,126,078,610,598,894,083,690,359,145,847,596,976,316,865,484,
052,480,262,675,612,050,958,557,679,837,294,446,598,569,131,082,179,321,429,
254,417,028,343,981,062,139,771,365,019,089,415,445,531,505,176,682,353,652,
279,858,805,228,661,688,569,893,636,916,801,947,510,507,036,237,830,226,161,
631,813,332,861,415,461,528,577,976,371,705,315,612,290,523,685,100,459,652,
607,379,372,933,223,184,674,932,704,504,977,436,886,790,124,698,306,700,080,
964,080,430,429,646,539,768,551,574,003,083,201,481,706,664,763,203,029,822,
678,395,530,171,810,208,904,048,618,850,741,983,110,278,896,194,641,401,366,
323,833,713,092,332,153,007,468,531,006,615,437,826,739,477,785,243,384,484,
439,815,377,217,635,271,276,046,981,760,252,917,578,944,694,528,006,505,297,
031,896,200,853,445,022,588,321,104,220,666,376,976,803,428,533,742,289,590,
232,732,720,442,253,858,115,731,117,196,861,191,833,846,709,855,739,732,823,
374,806,300,288,674,146,010,930,257,028,767,084,102,929,400,540,449,509,666,
992,709,342,114,752,305,006,373,850,276,552,971,411,077,244,944,690,391,586,
712,647,438,291,648,953,377,373,193,935,020,191,733,202,450,128,639,340,278,
241,261,132,955,835,241,204,425,588,478,290,584,535,849,129,113,593,043,800,
522,058,067,083,526,600,285,860,895,577,964,418,322,132,321,666,327,166,858,
981,649,638,325,447,707,871,065,167,731,662,105,783,126,826,227,122,330,291,
137,052,171,166,189,795,602,628,541,601,685,040,751,616,208,564,376,019,103,
411,079,866,124,728,765,770,721,809,277,363,631,560,234,578,344,004,902,937,
752,256,784,717,668,087,776,578,155,652,554,983,473,188,319,684,775,609,743,
395,056,771,315,513,075,303,559,797,170,230,225,354,861,810,114,168,687,701,
172,481,659,030,752,307,107,319,333,033,399,794,979,842,927,980,667,545,912,
623,379,201,289,399,204,435,355,237,867,130,960,560,158,302,490,029,934,896,
283,972,952,068,873,264,966,925,798,156,939,958,871,725,870,101,769,943,354,
543,645,520,972,011,214,598,640,610,117,561,350,656,531,864,840,827,607,284,
746,897,127,896,455,727,766,259,570,143,603,029,154,528,246,950,688,673,411,
644,566,661,659,598,405,038,735,612,754,743,436,840,845,523,021,735,639,051,
060,198,520,740,951,805,770,367,439,688,383,013,165,829,766,194,532,306,773,
742,327,365,169,980,573,430,960,890,641,319,157,339,923,053,652,363,421,128,
173,129,919,012,602,411,133,261,285,501,207,463,489,565,557,976,853,631,843,
287,986,081,825,503,846,883,336,226,511,094,426,407,768,828,839,059,543,898,
889,772,532,056,644,606,168,108,978,114,547,764,891,252,602,928,360,874,922,
028,182,484,753,353,787,529,274,355,409,314,223,077,597,958,938,897,834,340,
461,850,700,554,068,927,884,717,027,638,663,120,496,274,037,951,544,545,717,
259,338,334,725,704,401,678,125,767,107,716,488,117,424,692,940,201,244,115,
446,074,398,795,835,401,552,385,739,858,279,061,335,519,942,536,092,332,843,
148,008,867,432,786,704,292,396,240,951,308,220,811,061,094,403,187,960,859,
490,133,063,253,511,528,973,035,105,861,627,525,357,162,581,144,433,076,176,
775,191,136,908,471,206,999,890,945,741,061,538,805,190,370,908,375,305,895,
611,351,140,141,991,530,144,953,235,783,303,085,104,047,575,896,289,812,669,
838,001,086,143,844,801,777,640,702,881,873,614,046,878,074,820,403,346,265,
222,592,197,415,488,980,644,153,877,959,001,642,597,395,709,245,651,896,794,
815,384,192,388,192,441,776,800,502,110,832,404,568,889,932,235,796,732,560,
271,446,048,650,889,257,386,326,219,833,128,832,807,973,921,966,364,664,892,
114,317,772,699,476,123,270,336,371,367,799,674,441,621,183,399,659,517,479,
408,425,098,798,013,013,656,874,967,269,504,603,828,569,278,686,913,599,821,
095,521,013,031,584,668,242,997,500,538,165,302,097,584,016,346,768,212,055,
653,746,686,538,341,329,626,748,898,954,657,563,970,872,305,196,425,591,084,
594,894,907,077,450,108,227,932,150,283,199,200,565,305,418,343,412,915,687,
030,818,221,076,703,031,436,842,673,620,372,342,423,899,714,705,787,140,888,
898,263,070,583,493,321,277,915,955,029,017,961,263,948,433,168,335,307,970,
361,677,117,286,592,114,412,929,664,309,427,923,724,662,410,693,348,783,113,
548,268,389,469,968,789,220,298,588,429,576,154,025,781,921,888,229,884,563,
879,678,119,158,819,935,520,732,329,672,264,792,810,743,020,672,574,503,671,
093,395,832,655,402,043,193,556,870,252,811,256,774,420,790,994,099,663,209,
599,576,751,388,629,427,393,369,527,927,856,413,039,522,465,675,097,825,844,
638,833,695,314,542,169,366,131,224,807,063,852,699,734,836,340,216,752,951,
247,866,855,203,642,930,403,630,620,591,984,545,279,208,640,945,725,186,000,
256,839,645,725,525,721,245,711,464,592,200,455,245,065,762,780,365,028,444,
810,744,181,841,739,277,746,925,517,806,915,523,154,002,829,789,480,957,387,
174,063,234,525,350,609,327,573,706,449,484,964,315,230,135,109,299,761,711,
795,843,536,005,480,081,157,340,546,397,531,636,333,247,972,905,243,357,393,
983,209,889,785,833,136,361,110,290,886,527,172,738,850,780,043,673,827,607,
386,546,108,828,519,823,237,617,145,444,995,461,931,871,810,335,457,564,476,
334,691,781,502,689,977,425,775,341,045,496,792,600,540,358,690,813,818,475,
573,032,717,746,149,119,441,176,278,854,587,706,181,123,319,641,502,296,556,
418,890,643,520,791,604,147,879,288,705,273,442,726,171,105,610,044,687,933,
105,872,740,641,568,103,568,758,792,847,993,190,212,558,217,434,503,532,569,
218,001,354,383,023,262,123,900,338,658,211,378,327,229,506,064,231,301,147,
007,924,810,941,766,409,903,420,983,850,057,759,789,639,382,881,772,401,703,
508,644,414,891,767,000,772,788,594,550,018,426,745,149,034,658,043,729,155,
812,085,265,262,968,550,369,132,028,364,805,117,824,220,531,983,362,530,591,
807,249,802,911,026,580,883,635,351,024,177,335,552,903,812,734,550,137,418,
478,704,925,788,084,463,691,019,488,005,394,379,347,908,419,603,823,796,725,
656,896,524,286,619,216,580,961,676,651,036,684,498,142,976,272,543,358,676,
150,247,013,305,238,987,676,593,426,526,363,691,772,924,719,936,768,719,823,
577,166,576,058,755,387,126,382,827,280,033,671,471,653,500,674,989,346,016,
817,737,610,699,661,442,794,303,870,235,016,788,903,455,596,539,536,951,351,
022,954,024,296,226,680,824,957,840,842,828,074,909,889,783,934,699,954,576,
690,057,486,544,136,451,749,042,368,542,260,016,393,595,823,695,736,825,699,
624,757,981,173,312,871,840,628,827,363,962,535,393,916,159,425,087,937,608,
076,591,938,393,538,603,634,394,434,672,852,486,333,155,516,572,332,425,467,
782,441,917,552,217,516,365,379,249,199,577,122,915,404,270,344,460,191,061,
562,709,640,939,071,629,152,555,840,098,777,361,768,331,719,924,167,758,147,
659,429,055,050,760,764,924,759,780,727,971,337,125,691,124,952,835,835,328,
722,642,957,417,067,288,463,833,171,407,109,410,438,689,076,021,120,457,493,
371,104,586,095,463,378,410,058,781,385,932,853,839,003,886,456,129,976,941,
421,235,405,418,665,068,769,342,094,310,498,819,655,364,917,584,807,296,376,
762,849,683,380,225,165,916,240,113,696,783,478,793,098,751,468,978,867,513,
343,920,278,241,118,737,022,918,637,279,161,712,634,066,684,025,227,613,439,
061,918,716,360,137,110,862,532,641,152,745,493,583,742,341,708,886,271,880,
687,389,295,571,705,312,836,500,441,406,350,452,176,870,378,299,036,495,253,
597,178,118,930,273,249,066,890,933,634,718,578,082,755,528,599,513,590,617,
478,641,415,833,592,072,997,411,969,431,333,263,369,598,523,129,937,599,871,
765,543,937,676,024,209,015,293,664,579,350,823,860,641,998,943,912,472,770,
017,846,954,681,204,646,564,091,883,488,051,902,791,754,322,004,641,396,592,
064,762,945,149,853,328,670,190,294,180,300,325,892,202,221,872,987,390,913,
331,385,182,616,248,215,642,221,706,320,104,747,251,886,155,187,056,890,437,
542,497,966,068,915,355,465,180,932,863,824,508,745,829,915,846,746,367,219,
098,112,668,293,165,065,401,589,333,093,008,998,160,568,662,340,732,810,911,
544,773,492,762,893,223,999,864,442,646,574,511,464,910,860,828,356,408,076,
696,898,920,142,772,092,556,353,946,207,271,015,260,199,597,511,118,978,359,
404,239,959,900,407,996,495,777,229,563,895,334,572,671,131,260,238,218,070,
996,514,989,226,220,787,337,558,796,636,173,274,091,024,768,006,920,596,618,
662,619,789,658,020,325,698,339,054,889,781,826,857,023,705,014,576,662,135,
858,358,698,391,400,012,464,619,065,217,185,460,469,814,309,081,335,674,373,
338,923,185,894,581,282,026,778,860,092,982,930,883,565,452,162,951,553,431,
150,395,994,162,209,304,790,359,162,380,717,084,682,919,289,226,830,071,897,
464,300,143,007,118,979,016,379,525,950,965,064,845,828,741,503,745,766,677,
644,376,929,264,581,048,098,317,267,093,179,171,368,006,915,903,040,321,883,
224,551,577,452,081,965,945,409,082,003,881,470,284,071,270,446,179,403,618,
278,735,858,124,992,105,320,253,188,749,843,346,491,190,056,901,476,702,135,
833,853,242,488,434,152,793,421,523,563,093,389,889,958,655,812,601,642,509,
332,778,777,210,118,608,740,051,888,978,963,614,425,534,807,902,463,374,051,
437,040,189,871,567,817,820,683,892,274,147,947,038,342,693,198,524,137,834,
921,116,486,093,678,133,871,017,874,824,569,728,904,931,804,440,286,886,819,
154,756,694,990,407,611,432,473,011,172,182,569,677,329,527,238,998,736,258,
422,149,719,005,736,672,443,590,099,808,826,096,123,931,984,815,049,289,336,
539,996,182,065,022,312,646,031,018,831,404,336,216,368,311,311,107,709,098,
669,999,188,395,434,335,422,857,412,823,742,966,032,722,310,656,974,343,690,
980,139,822,181,583,767,514,524,348,107,308,256,561,374,858,259,826,959,807,
017,066,537,971,703,064,969,013,090,539,725,715,274,065,392,107,764,948,668,
013,243,438,595,211,420,101,449,813,700,747,143,127,871,376,386,915,795,863,
830,626,444,521,968,341,522,928,635,321,911,238,105,534,024,259,438,195,624,
134,903,253,084,732,635,246,852,598,235,184,172,009,986,497,895,237,102,953,
314,911,166,935,970,790,856,138,653,183,082,159,433,239,819,827,067,783,124,
738,094,978,639,425,703,147,586,908,698,714,004,929,357,116,896,340,147,435,
674,017,180,557,121,715,779,875,473,044,016,174,988,661,547,545,025,408,939,
214,308,167,567,722,827,910,936,031,370,548,667,986,192,947,221,301,793,387,
597,877,375,802,899,582,373,849,579,033,040,672,568,181,515,935,546,078,667,
054,275,838,719,507,087,433,086,942,875,683,075,085,193,395,377,896,689,963,
247,657,276,814,194,377,819,602,444,318,318,409,618,431,844,971,324,645,491,
328,377,947,046,747,974,779,067,465,609,406,281,597,782,383,060,101,247,722,
134,977,909,668,261,522,680,050,730,224,267,149,551,838,554,312,623,314,013,
406,160,358,980,508,592,049,389,028,194,259,239,553,772,499,602,197,384,645,
787,434,477,888,179,531,414,355,471,713,073,834,200,985,591,217,910,077,230,
546,114,727,554,242,073,191,534,799,389,610,208,635,799,423,111,231,686,219,
523,876,069,234,417,505,561,771,850,924,524,432,071,711,364,877,362,967,647,
651,731,716,981,179,375,211,000,634,895,654,220,687,044,084,305,258,475,773,
195,122,552,470,438,294,292,477,149,319,877,392,341,567,261,242,889,089,992,
072,260,965,913,443,013,884,773,493,569,811,954,067,189,266,242,358,575,281,
931,181,425,433,393,800,894,781,791,982,136,195,459,239,910,082,313,252,224,
348,756,267,664,107,101,973,562,429,101,508,418,031,388,441,832,872,679,278,
744,880,804,275,102,044,766,688,917,195,919,122,209,016,411,323,487,104,570,
278,869,250,552,149,685,614,331,790,882,395,501,950,719,489,289,033,524,115,
797,826,305,492,704,254,587,986,573,740,218,284,989,912,208,666,286,046,863,
850,654,505,044,241,581,156,238,125,544,628,608,056,125,499,350,052,543,496,
072,296,116,301,214,504,709,640,582,892,566,708,451,535,884,966,748,762,346,
099,681,105,572,862,107,975,307,476,593,964,255,260,992,105,487,068,386,456,
266,947,007,744,978,503,234,369,606,709,561,288,510,718,278,712,985,248,416,
882,028,768,563,480,498,015,755,188,929,740,486,491,220,689,106,467,130,307,
991,846,751,363,386,097,780,683,764,076,247,131,950,376,120,254,176,572,077,
674,905,774,921,316,286,955,855,225,846,551,958,595,508,317,979,357,821,627,
142,629,219,299,075,816,642,242,871,826,914,704,520,787,076,433,960,955,807,
179,830,866,807,595,020,865,103,427,242,352,024,804,205,732,157,961,214,427,
868,405,809,411,246,629,088,492,883,612,143,135,613,093,842,465,035,323,286,
322,173,999,597,352,451,542,754,730,492,689,716,860,947,910,774,258,857,055,
648,838,390,994,004,364,463,423,396,052,539,386,447,045,021,118,896,246,959,
529,899,756,528,517,990,214,869,164,473,311,022,048,165,059,524,432,044,019,
120,866,011,473,641,246,721,580,120,388,235,821,604,997,660,996,932,804,002,
890,647,684,129,319,212,245,349,124,204,473,856,527,445,998,046,531,087,778,
378,479,186,323,820,586,052,348,822,421,392,429,005,971,221,730,103,288,283,
043,531,489,325,846,193,542,032,104,898,425,129,194,217,380,596,424,891,745,
829,721,249,411,846,037,787,676,793,837,451,979,892,362,709,600,350,128,124,
018,806,404,857,911,409,651,013,646,434,655,986,814,131,011,426,210,884,624,
524,465,951,818,966,558,050,474,493,713,306,350,344,263,008,311,187,585,341,
056,017,893,674,266,577,992,751,481,861,543,868,065,171,226,709,901,807,620,
669,146,531,026,620,175,351,512,475,003,555,500,761,535,543,708,731,493,031,
278,396,651,629,269,654,097,606,726,951,247,101,083,764,164,445,652,250,812,
017,890,370,066,287,522,914,176,056,349,973,256,823,273,152,987,243,201,820,
655,445,612,743,896,604,454,027,108,377,733,494,862,547,809,311,338,065,006,
866,605,447,580,477,841,733,279,751,297,004,691,528,717,600,997,665,268,852,
346,298,943,633,545,864,102,829,048,488,157,611,981,754,439,725,600,181,998,
913,787,900,632,613,325,847,870,645,468,291,348,718,546,599,203,685,702,678,
382,360,361,468,805,221,434,057,791,212,392,698,396,497,573,390,864,890,600,
200,413,367,035,965,340,646,535,063,246,059,406,867,137,167,886,610,687,791,
161,085,471,507,687,397,200,443,296,284,489,701,042,433,434,822,025,276,249,
801,729,883,877,677,845,518,951,437,234,494,352,376,206,631,695,668,585,609,
970,630,858,499,650,224,319,587,721,439,856,595,468,081,421,412,248,920,097,
151,182,305,402,332,522,750,686,867,453,120,008,044,070,636,074,475,481,566,
737,888,890,372,142,668,948,360,303,200,381,322,696,628,348,377,192,382,968,
807,934,031,977,080,326,983,201,189,442,277,411,035,940,057,664,868,516,717,
334,423,193,245,998,415,291,756,166,764,687,963,182,593,682,537,040,271,315,
404,558,464,791,124,650,350,363,679,070,793,645,584,311,457,403,012,944,561,
875,372,325,963,115,157,027,291,650,030,145,096,722,564,930,646,473,475,956,
408,194,992,357,139,031,186,415,340,999,060,511,361,070,264,324,344,161,437,
219,572,793,432,855,249,634,450,063,968,408,694,871,911,455,696,753,532,878,
134,718,784,892,882,835,547,242,931,218,728,926,171,137,310,053,214,457,148,
256,334,137,602,812,034,240,860,916,546,352,577,228,893,720,204,462,687,425,
769,317,091,800,695,609,980,591,983,638,335,014,198,827,957,201,631,647,412,
320,330,183,826,312,302,155,309,071,161,333,678,411,587,056,730,213,888,166,
041,012,585,168,696,234,663,983,271,819,202,742,680,265,473,860,568,952,730,
414,542,286,768,260,542,321,320,705,591,088,080,200,704,770,918,904,523,967,
456,962,630,065,149,332,219,415,422,018,633,812,069,956,453,922,754,112,749,
506,781,840,028,179,040,259,317,583,908,363,095,982,610,817,084,217,226,739,
944,419,772,404,168,292,892,136,241,799,154,414,886,454,055,889,551,042,877,
878,862,754,987,652,023,871,251,081,597,872,776,227,576,265,367,855,040,535,
891,018,073,067,003,959,980,454,039,938,872,413,069,328,819,142,997,288,569,
900,690,490,240,961,403,309,416,034,580,377,612,247,182,030,758,288,295,220,
597,037,316,892,418,259,970,118,432,185,953,492,170,142,361,852,224,983,584,
011,673,829,804,280,518,340,034,254,229,656,550,179,760,574,087,587,604,121,
639,282,914,172,788,473,122,559,736,774,254,402,214,553,092,276,490,701,640,
011,758,552,327,247,578,937,315,850,951,053,028,093,216,055,831,843,181,033,
383,156,254,259,933,433,539,534,370,221,443,650,701,325,916,000,919,350,564,
119,918,085,638,694,045,657,257,883,587,828,933,583,594,431,485,601,116,697,
116,050,177,267,727,620,120,051,532,498,055,093,810,116,578,392,620,908,269,
092,727,305,899,583,614,885,751,793,627,930,358,663,727,860,865,713,106,057,
443,440,673,208,806,543,418,617,112,683,394,396,650,351,261,408,992,750,829,
088,859,660,489,844,377,476,199,418,478,359,586,836,683,746,019,040,815,251,
973,325,563,389,033,820,147,820,490,262,721,948,516,278,590,812,262,520,271,
056,713,120,036,279,183,978,539,785,651,578,364,759,293,658,855,708,986,039,
312,478,508,571,241,915,722,482,858,431,356,785,938,237,937,190,592,412,239,
666,508,472,557,106,377,386,041,629,202,543,132,003,747,131,546,320,468,599,
697,142,656,478,099,786,905,048,714,476,063,465,527,924,586,933,324,741,949,
263,996,275,822,050,144,364,084,038,904,006,125,412,141,493,467,818,069,022,
919,150,540,092,435,871,156,646,421,784,573,818,380,292,472,530,917,939,610,
752,542,518,439,992,204,219,101,864,252,718,789,689,369,187,355,519,646,561,
784,076,118,757,116,348,010,085,259,531,839,664,589,894,054,757,065,973,607,
448,652,939,000,347,413,402,596,177,791,080,504,030,392,147,144,259,142,477,
218,777,907,658,883,483,514,723,966,955,244,698,660,662,722,334,215,000,011,
864,098,830,623,527,299,431,192,477,446,276,362,828,592,567,551,422,196,508,
572,498,123,026,696,345,187,448,714,960,368,010,624,774,277,587,647,249,968,
713,500,437,385,239,750,885,123,255,626,735,718,089,452,899,031,463,238,012,
419,822,121,019,578,840,637,941,757,984,655,691,394,627,828,307,761,774,195,
210,519,448,071,453,047,908,366,267,438,884,970,243,849,665,929,954,935,307,
976,880,101,440,972,464,569,769,769,932,525,807,763,515,747,798,185,745,758,
968,161,150,023,868,040,042,316,917,144,707,972,323,963,301,412,742,024,744,
702,843,103,183,920,979,251,702,373,562,048,578,531,870,361,049,645,430,969,
608,966,562,485,595,877,735,383,111,851,715,311,032,185,609,114,067,482,238,
812,819,091,887,581,866,072,458,444,636,046,709,314,692,400,449,544,628,926,
410,470,550,928,990,910,112,995,168,364,699,124,766,739,359,953,034,528,004,
335,591,491,966,904,203,340,699,999,946,801,620,088,953,039,147,939,591,882,
483,961,405,715,373,921,153,107,878,975,460,352,961,533,717,813,924,976,125,
060,956,408,908,637,882,031,070,278,042,921,207,782,329,680,031,109,832,251,
025,185,513,548,213,345,417,699,782,057,147,833,345,639,472,047,426,955,633,
512,824,576,458,344,259,932,877,752,947,717,683,400,676,962,077,194,592,750,
223,457,846,069,407,498,820,580,592,781,295,038,002,860,734,034,758,590,657,
996,559,522,518,527,677,998,001,965,117,939,314,354,530,939,877,096,790,840,
952,970,845,238,634,864,878,609,429,854,482,643,344,885,151,121,844,478,875,
627,330,203,025,014,689,182,034,569,242,364,570,573,116,613,908,448,097,296,
779,956,932,272,406,884,720,086,558,395,011,348,027,936,015,790,460,914,326,
334,112,588,840,458,215,679,116,382,368,266,053,068,397,199,286,523,017,276,
097,723,045,565,715,265,362,726,043,091,367,273,114,497,619,829,958,959,438,
351,895,526,610,168,323,707,744,586,291,904,040,577,471,462,852,395,004,992,
031,007,049,760,519,713,750,148,024,254,007,752,671,978,737,471,600,509,317,
512,782,259,487,490,270,074,109,911,016,738,564,603,458,692,420,297,048,006,
433,457,481,241,137,230,809,775,822,005,347,546,719,572,630,933,295,963,646,
115,957,606,007,783,526,358,658,824,100,244,422,629,856,678,559,461,886,754,
656,814,135,786,654,946,395,392,177,839,860,289,397,104,828,746,427,268,110,
816,725,388,203,824,578,154,833,296,403,317,040,967,992,256,723,862,853,156,
591,207,575,466,976,622,984,364,389,838,397,041,142,103,377,824,383,441,248,
447,070,989,017,027,977,932,993,969,850,118,171,913,297,089,086,370,631,859,
387,950,154,356,373,134,998,966,682,810,341,610,184,306,406,142,078,720,737,
710,084,731,461,269,331,575,209,197,455,962,633,716,615,608,460,906,444,872,
469,447,040,506,347,116,335,111,697,467,879,675,775,015,363,401,262,522,230,
777,250,841,861,675,713,239,015,309,157,919,055,831,144,334,200,286,577,395,
267,364,043,663,426,935,935,338,983,803,144,878,562,091,768,091,600,409,075,
949,529,394,871,157,991,137,021,160,074,723,651,264,357,040,401,468,757,416,
898,469,348,102,240,216,812,143,208,585,751,434,939,568,616,680,373,827,984,
519,317,101,783,890,133,339,747,270,610,647,076,528,498,309,385,160,127,817,
789,373,768,552,051,336,197,642,907,561,504,742,478,499,975,848,734,571,938,
895,214,272,411,012,751,216,882,097,086,087,437,429,523,156,194,281,072,087,
191,627,594,049,653,714,982,290,814,518,287,425,344,146,462,270,411,594,340,
456,950,241,002,819,835,714,847,098,539,379,932,047,579,706,003,155,176,418,
580,493,245,311,941,609,443,171,865,030,422,207,332,263,221,519,631,486,923,
641,839,614,350,387,286,073,433,302,681,540,859,072,815,205,385,713,669,252,
741,810,349,815,672,182,334,525,785,159,462,305,126,351,344,332,653,522,185,
082,226,403,771,922,428,023,947,408,448,374,888,989,148,643,550,691,944,485,
321,030,830,339,967,148,538,015,912,406,985,598,813,144,517,994,214,023,003,
237,247,587,145,652,524,755,113,771,402,437,440,068,717,425,460,842,501,558,
386,459,060,505,915,056,217,975,254,307,505,411,484,895,276,569,669,132,541,
817,947,932,305,351,097,606,676,041,182,818,628,080,731,609,015,391,481,405,
356,251,427,653,060,253,127,689,656,292,660,688,353,323,123,897,832,158,155,
242,347,552,888,232,494,616,095,416,854,412,999,647,005,913,454,713,762,439,
069,286,721,174,133,414,720,466,566,161,470,733,801,570,864,506,423,478,469,
083,826,245,578,407,751,486,097,901,125,790,190,201,088,481,415,404,791,054,
829,665,829,016,667,907,513,015,881,510,430,607,143,884,363,806,542,007,388,
789,222,941,031,673,080,905,339,191,492,773,817,738,127,941,765,696,325,509,
325,924,786,217,273,238,811,453,347,006,110,222,109,215,719,302,691,006,176,
003,445,673,858,155,574,635,671,624,717,076,909,659,728,839,207,295,580,662,
129,805,135,273,609,236,453,544,743,793,773,858,937,137,357,529,609,943,671,
066,174,637,854,692,822,645,728,738,072,245,389,965,587,455,240,521,266,692,
102,484,858,221,404,389,129,775,545,355,572,785,251,923,874,903,390,398,883,
774,174,233,400,117,663,211,687,276,201,034,059,709,474,648,433,327,015,738,
367,100,976,690,421,361,490,703,117,586,859,791,404,281,099,457,696,554,475,
331,281,586,608,348,641,670,254,919,994,897,583,484,905,007,013,509,358,214,
278,202,563,114,858,205,458,629,726,762,806,709,391,411,413,707,767,950,876,
214,097,481,910,462,580,236,574,279,893,505,370,956,678,586,776,597,701,988,
941,840,809,700,759,148,642,936,794,875,438,580,984,050,743,478,998,011,523,
370,304,632,683,853,191,099,403,876,918,426,684,434,231,546,525,463,606,661,
324,555,729,756,556,069,720,967,479,432,606,780,603,971,138,910,900,983,810,
844,301,622,920,462,532,812,784,845,469,082,095,091,221,998,635,663,172,143,
554,404,172,568,944,898,530,123,486,560,838,545,700,844,555,368,426,683,770,
695,191,760,701,090,114,184,446,008,366,523,083,885,360,649,909,485,470,191,
909,335,050,508,553,810,190,310,983,493,481,324,936,982,642,169,286,441,788,
908,154,856,589,815,617,191,810,229,143,825,181,502,022,297,368,274,542,213,
699,558,564,636,570,251,981,078,875,633,232,543,977,829,925,334,825,416,442,
228,258,767,009,938,619,393,219,666,806,664,412,420,456,501,317,566,171,605,
175,182,272,500,875,272,205,559,918,392,846,697,225,863,657,100,382,823,090,
814,833,473,472,617,924,112,336,730,453,233,170,346,764,324,448,881,628,886,
260,920,287,061,256,879,021,509,459,622,122,459,734,956,485,738,275,661,243,
252,407,052,534,559,651,666,091,868,243,800,454,992,714,245,136,730,554,835,
431,866,601,986,769,395,889,136,723,773,555,352,678,206,721,428,058,762,598,
368,150,946,292,830,507,981,558,809,572,324,750,328,712,380,182,223,192,292,
161,130,971,345,030,141,646,702,529,801,810,625,331,343,650,619,632,442,314,
368,193,560,341,258,959,655,803,851,424,212,541,710,493,006,486,519,448,535,
275,524,478,294,435,220,045,539,397,786,192,449,597,100,503,410,408,369,707,
567,275,997,190,148,067,049,689,627,271,841,534,553,366,979,146,420,757,386,
287,703,310,140,378,017,559,056,750,730,832,546,257,066,798,247,332,798,277,
189,353,517,556,422,905,074,981,454,720,941,631,382,506,175,260,638,891,446,
528,996,457,868,592,359,789,058,850,518,119,370,545,105,614,062,274,696,303,
604,864,415,550,688,710,405,729,926,363,282,740,279,729,740,253,035,322,246,
427,556,135,410,703,868,250,419,714,200,212,052,528,782,792,012,239,083,042,
308,535,528,197,961,698,486,839,767,720,593,025,010,699,176,935,925,543,520,
183,167,391,612,835,699,720,526,002,823,532,443,179,718,351,939,698,883,272,
202,426,841,406,655,873,169,997,656,777,409,007,861,010,180,855,065,424,491,
427,133,751,278,461,140,553,479,313,500,635,523,315,258,883,666,643,310,490,
914,432,277,149,120,771,133,001,838,462,752,609,736,071,030,334,451,113,200,
317,241,418,816,336,025,421,135,014,495,850,727,893,456,191,998,254,275,729,
188,543,769,362,922,680,449,904,512,938,453,431,864,179,498,129,101,965,368,
065,633,708,445,897,577,680,975,311,844,438,443,968,949,801,396,710,679,164,
647,797,762,009,581,944,013,697,605,354,987,165,433,556,882,924,942,688,464,
585,140,574,509,185,299,356,185,876,360,576,000,650,963,348,127,534,850,490,
851,214,895,766,052,337,812,497,189,535,944,261,411,656,891,127,076,996,854,
328,020,772,547,209,659,747,643,729,178,633,384,895,765,216,883,629,729,717,
430,960,507,295,483,423,053,180,682,832,516,926,578,678,779,896,561,928,036,
748,020,769,889,979,045,759,542,358,619,219,831,800,859,162,270,440,241,836,
839,812,504,055,781,541,321,708,585,822,210,073,411,693,812,597,261,074,471,
813,846,165,919,957,276,822,500,201,829,622,168,518,623,651,652,277,152,921,
267,707,008,144,817,609,155,817,262,984,176,538,493,062,964,695,932,940,705,
079,158,158,705,660,487,982,459,613,165,971,089,785,719,292,521,852,550,616,
222,822,652,722,199,075,905,629,824,694,135,872,909,456,244,410,044,599,371,
322,691,693,164,082,548,785,960,567,590,944,307,661,780,354,469,338,074,455,
487,918,514,951,273,113,938,152,460,557,173,763,204,740,356,138,015,745,777,
810,434,759,862,422,196,673,565,457,196,215,878,035,749,002,405,328,334,914,
896,655,438,133,372,964,233,378,384,485,634,543,470,762,512,590,645,750,424,
946,911,207,794,612,696,949,393,959,856,450,116,889,932,476,287,186,359,877,
917,364,501,073,381,281,853,045,260,974,669,520,803,507,990,160,834,539,703,
552,709,415,849,880,713,633,659,666,689,772,885,402,674,312,760,722,151,265,
069,833,452,129,010,321,656,935,982,022,381,060,979,460,338,825,715,503,191,
275,560,817,991,579,234,414,794,760,573,882,286,230,207,250,364,697,193,861,
087,795,625,277,129,578,425,844,692,641,358,809,165,425,787,152,032,238,223,
505,015,225,039,482,456,772,936,125,642,399,387,092,340,039,621,468,487,008,
826,414,350,398,444,354,941,547,795,181,629,372,252,709,204,383,402,570,451,
643,731,807,498,854,627,493,616,080,306,207,599,249,543,769,094,384,426,060,
968,301,599,384,439,159,625,136,199,337,369,966,619,115,545,907,885,069,304,
032,237,146,889,306,310,169,563,340,586,425,422,700,789,633,155,128,334,812,
858,352,924,917,742,721,282,032,488,118,451,395,842,565,066,102,912,725,576,
262,960,331,064,802,836,592,367,692,769,915,879,256,161,795,491,812,501,659,
915,163,241,197,725,233,379,022,531,585,212,177,763,149,324,155,836,523,647,
017,144,205,568,205,891,550,918,019,502,063,309,335,302,188,070,179,104,323,
226,454,054,478,232,544,761,407,480,566,789,577,531,057,837,765,870,778,314,
251,567,049,594,364,555,146,673,204,299,467,341,045,034,499,025,803,918,720,
089,226,320,384,271,735,049,043,110,659,299,499,159,047,489,640,217,028,841,
797,792,178,171,736,302,681,773,227,522,096,568,891,212,853,434,135,922,037,
752,491,043,449,946,364,610,494,303,629,595,984,808,128,307,770,275,401,825,
503,788,745,347,487,664,978,117,922,989,471,142,164,399,628,089,222,956,720,
702,535,415,327,521,856,367,747,090,751,313,316,359,055,353,262,031,240,675,
898,499,145,751,003,250,739,363,276,177,774,699,995,258,153,227,034,166,870,
792,614,725,891,767,870,876,037,887,642,319,155,425,119,640,252,203,432,736,
934,190,740,168,072,757,314,646,735,047,157,680,819,013,986,083,291,277,962,
292,161,801,856,879,364,278,542,359,984,840,409,253,066,551,296,068,329,131,
162,590,293,132,394,845,562,788,872,011,521,102,257,111,989,894,514,144,765,
800,815,604,138,059,937,602,615,483,525,792,658,117,091,681,791,691,682,502,
292,665,454,886,860,381,374,524,175,289,649,831,287,556,661,550,438,398,916,
640,773,677,135,047,169,391,076,613,251,474,796,843,214,557,890,207,025,680,
081,198,380,201,703,882,967,151,643,509,435,926,400,551,801,229,998,135,705,
530,770,531,267,353,345,794,202,609,053,185,521,618,984,011,394,449,392,895,
377,835,856,441,845,277,817,378,437,954,205,267,360,167,210,112,139,340,451,
789,149,915,606,428,491,634,501,113,307,717,286,773,838,523,026,774,145,738,
346,451,815,214,931,814,829,247,455,462,017,443,837,335,959,958,657,390,506,
930,947,896,048,618,905,567,293,287,072,433,301,347,447,590,013,415,115,665,
477,856,101,635,733,343,465,616,435,633,230,624,323,488,927,713,744,265,348,
466,690,850,446,046,095,296,846,368,164,112,402,849,129,821,323,825,765,278,
070,565,304,355,110,869,145,021,104,023,893,114,237,415,142,650,421,457,548,
647,133,525,670,845,579,924,880,613,398,356,770,155,114,147,663,705,775,538,
812,778,553,574,592,423,126,900,200,821,770,917,668,337,701,018,257,654,816,
368,096,014,988,450,563,338,487,223,580,062,710,942,455,526,874,924,771,530,
900,093,884,889,075,831,182,478,397,845,962,373,805,355,533,441,955,752,297,
872,408,478,168,023,961,990,613,445,949,233,885,213,782,352,541,916,364,301,
476,570,089,976,804,867,145,618,263,123,060,804,348,259,470,436,681,913,099,
585,537,198,505,523,475,247,177,160,272,058,054,282,961,719,420,924,062,341,
113,445,473,102,650,470,467,916,018,724,848,139,609,351,627,777,724,016,327,
012,534,395,358,454,202,318,268,946,825,007,639,923,118,860,434,494,664,015,
520,670,080,408,774,465,496,749,182,396,770,848,747,162,547,892,417,489,573,
034,752,206,552,338,644,612,996,742,835,802,704,422,381,954,341,831,055,902,
705,738,925,388,312,629,002,731,651,194,494,691,832,869,800,193,332,235,162,
691,147,760,914,192,773,520,401,972,475,291,264,835,729,251,478,934,892,064,
912,896,499,267,088,841,141,190,557,414,550,405,937,907,243,535,572,120,764,
293,061,883,802,261,480,532,444,953,751,618,971,647,243,973,199,956,296,112,
877,409,240,954,603,890,156,902,876,902,729,247,798,974,965,680,022,670,355,
204,266,573,458,059,668,071,189,128,524,821,423,656,831,519,473,641,323,507,
781,833,254,134,602,119,912,746,641,612,952,931,991,044,073,785,935,606,287,
430,423,590,443,173,293,714,661,941,257,150,770,641,321,559,404,945,141,169,
550,405,551,769,197,505,785,653,519,549,959,528,441,926,725,863,532,215,661,
660,030,609,584,353,103,583,428,303,814,017,227,036,230,029,246,668,292,054,
600,680,548,406,945,774,263,921,294,723,192,044,553,040,313,892,976,197,071,
623,168,948,238,285,410,905,274,303,137,135,608,047,431,222,036,537,406,150,
456,923,679,450,545,284,985,647,517,820,168,359,738,217,032,455,615,076,446,
791,682,599,406,140,721,426,722,461,603,694,541,840,599,041,709,429,596,506,
842,392,547,463,620,127,565,581,806,663,630,928,056,169,970,579,314,836,109,
485,029,902,456,416,261,873,317,343,485,949,969,284,208,304,306,825,463,242,
289,239,414,050,836,822,297,017,952,908,330,960,431,825,194,321,899,231,463,
090,056,786,181,242,122,528,821,938,581,107,257,895,145,194,946,047,617,565,
376,490,056,651,320,880,109,908,703,096,032,150,934,741,544,319,131,142,771,
721,562,584,882,136,090,609,468,831,941,789,670,706,205,698,213,417,636,283,
344,554,749,328,648,812,397,509,940,264,177,548,851,656,028,491,381,080,900,
092,027,838,763,565,332,185,126,406,502,034,251,072,280,956,251,682,590,295,
297,023,851,855,524,337,783,532,402,907,576,136,973,355,184,863,797,430,072,
598,501,685,146,515,537,531,217,989,262,981,050,870,648,189,390,997,903,632,
952,925,914,115,954,290,705,243,661,212,012,342,862,199,632,606,686,809,892,
625,898,729,908,420,847,338,195,417,647,027,180,182,676,396,058,451,776,730,
209,222,088,554,172,378,802,471,175,350,003,525,890,371,918,724,013,770,736,
382,166,833,001,629,177,058,538,949,496,990,598,283,055,647,083,487,579,464,
931,881,205,792,661,804,099,365,468,237,315,289,360,165,479,900,761,420,630,
379,398,394,794,185,131,691,827,694,837,958,960,236,166,378,906,372,955,929,
163,672,050,093,020,239,813,999,481,473,409,564,542,283,023,709,631,185,991,
265,303,929,362,616,389,560,133,572,923,873,652,989,188,542,046,885,548,167,
613,870,679,846,771,207,653,128,567,328,262,171,203,664,100,727,180,126,956,
071,842,163,435,144,232,771,906,527,008,083,941,267,682,986,119,329,168,476,
016,852,508,334,139,818,420,193,185,844,361,410,131,405,955,094,071,055,604,
065,130,520,487,278,396,184,554,098,770,797,086,774,135,501,437,083,686,464,
741,573,784,114,839,151,479,355,429,799,280,306,324,097,060,882,302,644,453,
407,901,892,220,171,628,148,605,098,232,948,446,823,068,736,938,510,015,840,
205,540,813,557,683,578,670,432,191,814,160,822,050,508,674,370,049,186,418,
249,981,710,798,111,409,088,601,739,016,568,411,483,437,391,461,591,984,473,
106,073,082,174,903,962,886,539,398,415,224,031,223,980,949,121,932,765,855,
585,943,222,353,093,286,235,965,121,378,167,484,058,044,290,438,955,979,774,
806,079,237,510,589,451,394,132,025,754,384,039,568,272,920,019,709,998,232,
280,856,499,046,780,716,390,127,354,823,565,534,571,592,566,729,396,279,352,
177,566,006,581,842,887,390,257,382,908,531,474,750,195,886,439,688,301,611,
263,698,442,580,588,949,824,197,227,499,971,854,442,615,322,541,942,506,050,
299,403,834,623,835,815,044,044,902,976,871,309,020,634,219,876,154,309,001,
019,861,932,450,883,742,927,444,312,819,417,869,544,349,560,540,333,907,789,
875,256,212,384,619,996,496,130,428,639,594,905,835,051,580,369,303,768,764,
910,943,503,832,308,358,268,174,944,681,357,998,493,976,590,515,612,837,662,
368,777,805,243,104,812,209,747,748,127,245,328,046,505,120,252,229,394,392,
288,120,486,259,795,778,234,525,193,516,031,162,572,835,431,107,950,698,849,
161,187,751,342,407,915,729,979,284,203,334,214,544,634,138,508,747,763,357,
118,824,380,595,693,163,339,306,123,907,958,162,021,860,495,089,405,879,672,
494,496,716,197,563,591,367,505,253,822,840,896,649,618,122,656,033,718,033,
175,108,199,595,020,016,633,302,533,611,024,120,023,197,345,938,609,899,400,
828,350,265,223,627,917,781,357,978,515,951,030,616,278,088,950,817,135,410,
096,137,718,700,467,731,214,180,188,232,826,813,485,462,728,827,429,910,818,
753,158,462,685,118,267,517,615,382,845,490,282,029,977,016,920,581,280,252,
582,089,384,997,769,265,593,811,144,131,633,605,564,827,766,486,641,222,526,
739,817,172,581,739,272,304,102,136,118,891,476,982,317,091,028,427,953,535,
936,772,459,492,792,514,854,094,564,889,692,109,427,522,663,025,165,772,313,
063,218,428,609,029,311,174,701,849,952,741,125,582,009,839,294,955,818,506,
467,288,211,603,776,503,053,787,665,458,131,291,653,845,657,562,783,233,495,
963,927,953,491,517,608,475,832,074,591,562,351,303,830,595,827,634,906,839,
658,585,895,754,806,588,911,376,264,000,417,429,125,738,685,807,578,868,415,
270,481,533,661,081,406,399,107,613,642,758,276,135,980,607,200,521,365,772,
596,982,247,864,986,572,132,570,246,640,617,230,237,952,049,225,306,869,647,
549,202,724,250,432,725,476,631,826,209,501,202,420,914,247,166,205,518,280,
662,661,002,664,944,698,639,282,885,777,482,946,897,174,243,583,341,475,581,
202,137,016,737,671,336,620,402,915,983,704,123,280,669,287,514,791,548,278,
013,744,362,245,300,215,382,142,282,434,011,039,060,653,861,579,722,770,063,
190,220,654,848,862,447,366,499,316,844,472,768,815,461,763,073,486,316,247,
505,754,755,614,180,363,537,381,940,858,685,568,426,721,483,389,270,305,538,
704,443,336,521,818,489,308,760,608,381,744,767,484,702,512,697,362,346,543,
400,854,097,537,405,063,895,586,616,682,406,503,389,873,370,473,196,277,852,
060,397,993,150,826,671,775,595,913,868,997,458,704,491,661,150,741,350,115,
181,630,328,572,533,917,310,610,524,175,428,776,703,664,453,284,412,120,220,
560,942,119,680,898,739,696,810,559,384,037,201,541,822,307,097,214,799,239,
563,341,610,233,868,249,290,868,191,158,622,530,940,571,863,468,984,716,578,
888,975,540,165,647,417,252,610,244,685,041,582,620,809,025,756,821,943,207,
749,565,677,368,880,407,608,777,751,694,226,658,020,234,827,646,867,731,639,
699,090,793,973,483,118,165,192,315,598,845,386,598,941,865,023,712,274,367,
625,407,165,780,403,079,155,654,429,489,209,539,672,736,245,125,433,730,517,
153,516,015,280,263,016,787,909,138,098,547,062,874,061,739,740,485,091,007,
090,832,638,642,361,889,287,853,589,502,871,821,329,805,379,303,097,662,856,
025,480,304,787,399,787,193,323,688,576,964,071,803,264,330,437,124,669,353,
944,705,797,269,583,795,674,283,436,730,166,819,504,637,390,584,081,008,840,
502,049,377,087,496,383,620,498,111,607,261,261,468,618,266,940,440,380,857,
586,949,370,264,482,366,460,120,870,595,649,037,932,956,196,935,977,957,607,
788,268,284,131,411,586,562,087,364,024,449,716,277,506,812,274,455,854,848,
102,897,070,874,609,803,018,995,469,191,723,668,832,433,252,889,179,800,915,
940,477,180,557,012,549,143,134,913,684,437,518,730,202,680,435,478,725,813,
982,179,306,962,613,394,998,475,162,054,521,617,563,969,580,599,220,569,791,
442,768,171,094,085,719,982,795,736,802,938,987,687,872,195,174,035,267,569,
397,736,187,925,536,833,905,915,598,375,474,215,410,490,247,147,484,840,170,
336,323,006,782,840,428,311,031,789,247,249,184,182,163,600,760,187,301,170,
060,376,351,652,451,843,822,732,800,038,572,565,068,460,532,989,283,583,744,
203,151,700,438,508,346,277,664,829,693,228,846,554,827,058,675,553,290,151,
052,645,700,297,535,558,565,746,735,792,369,223,513,748,550,929,125,855,598,
107,475,855,694,068,301,635,752,280,746,748,408,471,693,658,655,717,045,432,
066,454,277,707,315,381,869,638,511,478,094,205,920,561,118,156,699,982,924,
614,257,035,188,439,474,493,467,464,023,018,933,367,713,538,649,967,958,142,
082,000,819,253,612,599,469,010,329,685,523,905,248,668,183,440,592,267,887,
518,327,585,766,013,494,367,007,463,169,756,441,921,616,210,186,020,582,936,
554,193,625,498,894,808,062,222,702,645,343,770,981,398,450,146,666,037,772,
367,105,881,355,897,182,273,107,205,900,369,265,170,518,684,154,455,892,924,
716,212,046,307,806,292,924,285,886,504,924,372,195,396,873,554,563,035,114,
618,778,014,429,752,541,852,364,761,579,343,737,567,599,628,530,531,812,270,
516,057,540,589,629,604,695,454,494,142,179,228,016,442,644,352,240,547,925,
869,029,881,108,803,503,681,524,945,989,183,379,193,919,604,091,004,335,542,
058,686,708,886,775,815,409,922,507,716,273,872,969,897,294,407,123,098,134,
866,508,446,531,328,061,772,190,747,082,955,109,360,693,203,828,387,563,737,
081,530,815,360,448,469,653,738,992,746,779,186,165,419,365,315,789,904,798,
820,270,618,779,576,500,054,361,699,420,745,764,706,883,586,299,867,090,303,
015,007,977,353,006,023,476,222,317,798,190,580,417,640,407,977,258,473,807,
872,032,153,477,309,419,717,684,977,162,246,001,915,952,798,636,164,912,579,
915,567,634,097,334,746,653,345,872,275,629,036,317,646,032,889,893,818,812,
348,234,663,814,967,587,652,077,268,731,751,433,118,857,350,614,509,418,990,
236,606,108,605,571,189,870,006,361,204,614,903,319,300,830,271,787,584,477,
255,619,303,035,376,032,459,455,076,776,193,431,010,935,635,762,601,479,386,
884,941,235,172,425,275,609,438,584,757,933,887,081,425,181,875,455,409,350,
458,430,074,583,532,558,494,146,517,758,983,690,531,752,333,209,923,717,739,
856,821,534,284,029,199,323,204,226,990,067,680,888,357,066,778,684,967,050,
252,000,848,932,802,247,996,145,878,922,498,562,959,523,350,032,464,014,920,
773,623,797,944,291,102,435,856,450,800,048,208,983,700,798,797,906,708,388,
885,750,407,074,567,374,757,972,625,710,058,814,881,989,728,823,434,066,140,
259,185,493,893,823,481,014,116,509,123,535,629,355,800,153,578,695,764,536,
191,069,047,615,943,695,405,941,452,654,147,103,748,552,977,906,453,063,868,
418,237,909,343,451,329,408,614,451,609,806,288,208,793,859,666,016,026,625,
243,009,923,773,437,844,477,179,344,335,180,865,808,811,285,142,258,501,840,
908,795,202,712,477,064,999,858,447,385,258,758,007,091,141,148,807,607,678,
177,538,666,466,290,787,364,537,575,390,848,960,883,306,484,382,860,355,760,
710,313,920,083,472,924,192,903,214,711,450,009,128,700,250,398,978,143,114,
211,925,718,352,789,158,784,688,880,915,074,575,058,524,820,068,039,718,715,
636,525,928,340,823,499,540,533,952,096,334,446,521,867,472,600,813,659,200,
136,315,032,659,774,768,321,430,043,934,253,280,799,141,306,821,863,432,015,
469,602,123,185,968,876,502,667,099,319,457,979,167,293,611,087,708,683,146,
614,005,605,482,596,495,965,749,804,363,407,599,376,961,443,683,908,629,926,
180,715,006,886,295,626,318,491,216,654,442,428,527,967,684,764,982,490,847,
331,098,860,336,923,174,287,700,188,360,525,287,062,318,903,024,845,485,985,
128,656,149,184,593,246,824,722,392,400,869,606,276,663,934,082,627,585,685,
606,423,798,197,431,205,634,694,678,993,731,086,217,657,413,068,418,344,902,
398,832,534,969,520,722,865,737,097,933,016,280,104,095,457,708,038,930,558,
624,091,085,494,777,019,586,462,323,584,291,052,245,573,454,550,525,601,709,
603,416,250,330,899,390,541,661,432,705,012,882,542,148,692,438,521,876,632,
572,201,021,725,703,041,647,038,456,284,785,993,847,647,872,626,730,113,544,
650,519,990,097,868,923,293,043,288,157,212,584,891,056,081,203,964,854,724,
212,708,868,918,878,775,414,225,525,606,903,867,594,487,412,498,250,466,405,
186,660,106,569,273,522,538,763,047,730,785,663,205,032,318,042,120,611,986,
590,468,753,259,263,748,424,856,685,657,100,621,763,566,463,195,973,077,444,
413,591,637,231,932,279,737,079,069,315,700,591,553,459,391,926,054,410,077,
697,015,088,282,409,648,977,932,109,326,865,999,903,207,553,206,267,488,715,
217,762,681,098,834,438,832,548,610,719,487,005,279,729,922,259,870,478,493,
589,622,635,763,427,012,849,799,919,152,532,981,331,100,570,606,234,987,741,
542,036,456,881,121,110,903,567,219,144,181,039,690,455,195,401,102,583,285,
326,069,297,006,363,986,372,124,524,016,773,089,057,459,979,199,092,870,973,
462,732,225,581,446,972,798,363,809,888,455,354,234,184,446,510,309,596,627,
599,398,795,088,035,128,126,251,101,601,563,948,846,147,224,606,630,846,038,
318,174,553,535,817,853,504,745,195,804,976,546,778,485,189,983,754,206,438,
545,109,142,053,573,321,704,435,829,912,853,765,390,860,715,028,430,482,961,
187,823,102,376,006,016,776,836,622,162,041,031,464,036,070,256,755,074,882,
669,626,891,462,737,653,396,306,885,020,917,957,005,438,326,887,611,887,634,
125,697,997,382,471,811,394,688,535,288,486,993,475,393,556,426,669,883,594,
460,670,223,319,967,103,383,747,501,684,447,439,363,836,587,206,658,649,987,
564,916,813,366,346,753,815,937,996,479,574,545,780,615,235,172,841,877,051,
543,964,983,766,947,638,077,831,153,696,033,890,636,996,698,333,050,250,600,
130,687,656,005,145,184,933,327,837,115,887,807,011,794,900,951,072,807,988,
596,996,059,026,358,487,938,101,962,087,542,382,647,997,757,810,306,022,436,
800,835,224,173,545,500,866,810,977,289,423,139,794,645,779,575,669,131,008,
446,611,690,405,951,848,095,255,782,568,804,428,908,360,934,789,845,644,474,
522,081,680,499,493,241,183,894,580,871,330,040,426,572,411,207,596,847,979,
419,657,089,048,796,291,549,310,377,739,490,624,503,025,798,711,083,131,375,
367,913,745,461,153,969,886,513,239,648,329,775,513,654,486,739,267,886,570,
623,125,810,757,659,556,421,999,567,086,221,708,049,909,833,298,413,681,772,
534,282,980,004,527,854,515,334,601,191,147,473,956,902,036,734,393,275,989,
742,555,026,260,006,364,683,749,366,020,285,612,026,518,083,198,921,314,558,
946,198,208,987,088,147,681,241,367,860,602,824,064,548,767,094,070,786,263,
991,661,438,944,547,001,179,669,541,913,082,499,874,983,899,188,625,161,752,
176,429,196,576,160,913,627,015,767,566,563,805,837,432,976,915,708,212,566,
003,577,626,578,249,439,196,080,650,253,476,046,403,893,567,169,781,495,127,
373,255,803,648,843,889,664,620,696,732,587,440,978,924,541,785,816,281,992,
318,564,279,190,259,244,798,152,495,648,688,357,366,528,433,799,447,828,449,
495,778,846,296,616,847,072,984,472,400,860,004,295,950,460,521,885,148,023,
607,724,098,540,274,247,507,885,892,846,743,893,305,700,680,532,162,689,557,
827,150,055,401,489,378,771,352,429,209,648,109,977,935,629,066,917,502,768,
460,085,522,302,914,611,893,558,910,685,448,749,111,586,079,194,315,362,580,
661,398,298,727,345,109,420,412,647,224,444,307,670,504,797,838,005,642,221,
364,895,763,860,835,431,292,098,739,062,474,120,837,159,007,028,002,042,659,
138,509,019,312,523,633,777,347,807,383,045,969,164,673,054,589,245,346,238,
017,677,755,238,607,009,814,935,571,308,518,481,166,787,486,033,814,794,563,
503,740,128,969,906,820,785,562,149,460,693,643,222,376,646,077,881,810,317,
770,416,584,366,208,855,931,205,144,698,879,932,635,762,492,221,150,221,968,
291,610,024,165,198,660,628,273,998,482,760,717,043,869,806,938,548,606,150,
842,292,866,123,683,177,575,649,032,562,857,057,173,400,019,392,285,101,254,
125,805,281,617,825,336,711,620,156,658,046,669,687,315,357,113,644,177,352,
870,156,404,374,881,800,584,663,767,129,061,281,435,670,847,621,856,776,592,
865,546,103,608,165,735,780,104,742,864,794,854,215,561,623,624,569,658,080,
769,143,419,409,413,665,627,817,240,853,656,644,281,779,527,331,922,106,025,
639,073,560,025,991,105,710,915,250,988,559,349,853,648,931,086,366,879,679,
879,843,489,225,531,829,362,074,283,429,405,702,198,846,611,578,255,502,028,
044,931,735,655,547,039,435,866,251,125,559,648,944,515,930,008,672,335,669,
575,026,215,678,398,964,069,423,428,563,913,608,731,816,517,209,866,307,591,
748,208,056,446,380,528,421,262,100,860,902,124,884,803,309,591,715,364,677,
473,785,962,284,811,338,848,239,685,636,074,843,581,826,473,049,254,602,103,
842,088,003,037,559,762,118,029,894,172,649,832,380,408,355,540,184,976,912,
033,252,545,663,737,333,030,976,520,302,860,631,982,722,612,003,215,040,236,
341,752,891,132,355,433,932,041,262,969,504,780,402,224,025,351,665,409,543,
267,211,920,813,227,410,199,027,480,889,228,135,267,692,087,555,873,478,339,
162,316,687,888,753,433,289,603,432,440,096,328,478,967,097,379,298,559,408,
037,940,061,764,100,542,318,467,480,604,799,708,676,551,345,500,341,765,249,
791,954,979,809,905,392,498,099,641,236,497,183,931,958,351,736,371,323,855,
222,085,039,153,252,944,598,943,906,917,990,450,778,101,065,272,360,239,950,
259,856,328,180,660,711,006,339,654,237,729,681,210,383,223,105,141,999,522,
254,236,198,608,373,372,971,322,974,263,267,047,291,268,138,517,091,628,776,
806,349,530,933,774,455,876,971,851,986,972,900,239,029,623,566,210,339,385,
365,511,828,412,703,016,201,670,747,369,413,668,753,848,788,095,218,986,076,
423,507,487,904,875,071,994,249,312,314,991,203,467,354,259,904,383,506,113,
988,965,483,881,628,635,083,367,940,856,101,644,894,246,533,350,080,873,081,
230,175,846,561,509,009,551,976,291,426,562,097,783,594,165,423,120,881,424,
648,298,150,213,411,419,407,145,132,941,629,498,066,445,737,192,672,600,142,
905,424,954,836,995,151,439,770,664,758,573,835,448,696,099,127,866,902,729,
131,327,755,581,626,586,280,178,205,895,952,482,367,520,526,533,360,448,794,
209,874,939,206,398,800,614,104,419,888,866,119,987,385,339,157,918,818,367,
670,631,279,215,511,759,701,891,755,691,330,324,810,890,974,137,978,974,335,
802,495,414,618,115,505,386,770,598,069,276,221,702,487,528,842,996,359,304,
459,977,207,946,790,672,068,859,554,143,611,738,078,934,416,001,639,987,264,
836,979,294,438,583,336,498,084,439,008,000,404,305,341,908,868,075,160,381,
608,114,549,555,626,804,273,487,663,137,581,914,892,247,756,002,115,922,712,
002,437,204,704,933,703,618,051,245,735,403,223,616,474,445,160,815,081,265,
103,767,283,063,690,307,359,341,136,747,817,370,981,749,090,954,375,530,723,
135,897,183,809,709,945,569,167,053,436,984,037,227,548,498,263,614,904,644,
951,102,927,829,944,960,864,465,288,351,681,158,115,554,342,469,934,303,362,
337,076,152,648,768,658,514,256,794,775,144,509,323,041,297,311,088,973,951,
940,650,180,571,101,602,346,278,669,897,227,529,579,535,332,254,374,628,757,
139,147,519,173,257,550,666,777,232,768,018,538,707,792,269,710,298,890,162,
637,097,885,011,657,536,065,891,353,304,112,107,402,100,678,241,841,049,242,
892,437,060,555,931,411,610,056,530,655,434,749,138,465,594,424,911,892,470,
515,254,035,129,923,055,903,638,052,945,655,341,000,598,141,329,140,593,475,
200,764,197,527,107,454,987,904,340,342,468,487,950,535,336,034,897,846,847,
153,409,353,627,733,784,559,610,267,247,429,051,518,311,979,406,066,782,504,
669,656,573,371,890,526,572,074,592,380,754,744,177,587,537,382,613,067,314,
959,529,543,657,717,385,431,913,433,644,033,777,758,586,578,225,312,542,433,
542,480,897,820,805,229,116,314,689,806,043,671,175,963,267,481,669,200,041,
930,447,126,549,295,231,852,328,353,127,665,594,668,039,727,602,764,728,582,
766,438,785,511,465,772,447,127,875,511,115,336,569,743,870,230,710,071,455,
504,228,738,523,039,971,972,775,935,725,743,509,640,298,464,503,421,135,066,
202,167,803,432,577,611,971,670,122,152,496,509,723,158,748,157,127,210,696,
713,181,359,069,745,150,385,658,470,318,649,748,034,230,234,875,268,962,847,
945,391,625,821,489,139,583,242,911,017,524,536,180,682,606,774,695,468,568,
281,623,729,683,679,105,799,574,571,811,637,322,815,091,000,935,173,383,773,
434,834,649,446,313,514,021,755,968,241,029,913,188,375,169,606,317,842,225,
719,713,580,034,976,487,941,434,688,702,174,900,720,069,171,841,673,318,882,
741,861,686,615,864,361,393,350,545,424,150,857,482,729,990,599,595,534,202,
777,092,415,568,496,973,755,444,637,596,134,113,512,909,887,202,488,038,276,
093,398,834,090,931,512,920,942,072,628,578,003,698,102,936,293,961,303,133,
598,882,344,601,321,517,004,098,565,315,679,039,513,605,758,740,485,006,854,
828,800,959,627,511,491,193,980,208,201,077,165,978,654,357,313,522,609,946,
231,253,179,688,725,107,354,300,558,250,214,138,763,272,088,445,571,264,945,
823,991,588,179,699,197,327,179,281,012,851,450,584,156,730,233,656,445,992,
476,090,537,425,148,888,093,331,824,079,689,998,401,192,550,199,993,906,847,
242,641,473,754,036,061,078,728,115,855,341,753,499,104,652,780,203,815,924,
945,764,090,960,381,908,834,023,010,858,455,493,724,333,858,869,201,512,499,
294,628,921,194,261,112,761,036,738,608,694,245,964,600,600,315,826,229,689,
632,076,176,096,334,821,589,765,356,391,900,342,054,348,567,266,586,652,039,
900,681,879,540,378,617,757,086,894,251,147,308,834,029,760,541,254,571,733,
111,549,301,408,499,571,919,559,687,573,958,476,647,634,348,125,173,266,547,
911,404,964,535,091,062,604,838,698,087,558,364,759,252,180,854,682,115,518,
480,272,686,919,162,395,247,970,236,687,220,475,347,044,708,325,886,201,740,
155,702,913,418,306,396,377,705,303,414,549,427,821,859,831,287,716,804,823,
686,542,968,562,652,896,041,661,406,552,414,896,915,060,529,360,318,269,012,
720,283,508,101,737,116,223,591,270,893,219,671,715,908,403,889,472,373,442,
476,091,593,050,146,373,190,920,464,540,702,035,291,756,807,627,344,934,963,
408,340,384,071,958,952,775,012,526,014,448,010,242,549,374,971,967,823,649,
119,870,312,092,111,358,557,237,335,122,908,586,445,404,583,810,342,855,248,
896,938,491,130,672,478,156,990,619,053,193,290,457,713,595,827,587,291,202,
876,493,082,502,431,868,794,695,282,393,882,892,113,345,574,154,756,845,386,
850,718,056,898,167,726,679,421,639,684,428,381,543,876,705,030,502,322,144,
252,418,308,963,214,920,025,125,825,276,657,616,662,056,140,030,019,994,820,
853,909,473,869,362,592,775,860,288,576,781,596,510,028,835,380,257,474,210,
625,382,534,173,047,210,886,661,067,962,645,268,838,281,197,723,655,739,237,
231,213,392,474,804,490,764,289,967,707,824,997,536,952,941,085,616,512,879,
142,553,223,587,307,170,459,754,722,062,647,689,082,674,927,617,178,851,654,
471,584,909,226,071,762,288,917,104,619,440,361,460,367,686,309,566,709,134,
776,632,832,825,560,646,606,331,669,061,590,892,437,579,050,092,270,369,605,
683,460,483,990,417,011,854,166,850,167,812,265,849,786,301,059,194,922,596,
812,643,561,052,835,758,490,251,986,652,776,063,376,947,105,684,966,347,743,
751,506,855,163,224,854,971,246,392,160,028,693,386,862,165,936,324,513,525,
453,795,503,562,925,593,311,100,543,245,807,272,459,101,932,498,620,091,294,
871,632,042,730,128,050,085,304,067,064,928,134,883,924,858,008,666,409,292,
587,612,110,885,983,152,127,188,421,945,386,335,043,180,248,350,464,428,954,
221,387,102,076,054,931,449,465,920,009,059,646,498,645,147,112,600,893,688,
856,263,862,050,786,097,412,276,200,639,290,883,065,077,595,423,910,090,598,
123,173,894,703,154,945,575,366,617,369,461,925,295,592,831,303,798,171,428,
110,687,573,866,058,202,794,291,844,822,217,698,158,224,489,075,163,982,746,
373,650,038,079,979,280,287,381,388,882,162,015,655,239,732,369,668,515,552,
331,829,578,264,768,113,146,164,016,626,412,001,673,805,095,601,162,139,722,
105,028,809,744,798,745,085,207,697,670,841,404,589,647,216,171,875,671,945,
681,149,134,812,659,820,825,709,887,082,357,734,277,625,753,448,778,077,401,
875,154,736,989,973,387,303,519,309,760,009,048,953,518,158,568,268,372,259,
775,643,670,056,932,856,317,868,146,248,977,432,487,020,976,446,614,820,120,
182,123,444,562,005,916,138,643,294,438,464,716,173,936,886,936,185,610,491,
507,060,940,336,351,585,644,701,622,967,768,084,939,518,449,008,962,630,690,
120,095,580,322,497,613,639,060,081,435,228,845,530,080,140,156,441,018,951,
497,901,993,426,551,726,419,810,367,620,423,548,350,409,557,171,120,634,474,
243,313,709,126,114,839,589,731,399,362,663,495,087,738,030,074,009,796,201,
019,509,838,753,122,364,794,175,194,217,449,877,090,583,993,768,825,901,664,
550,743,689,339,632,001,855,326,261,219,847,640,691,137,943,801,509,135,522,
098,084,472,009,460,161,760,360,427,052,637,790,050,790,749,009,461,635,172,
946,782,408,980,063,570,489,199,501,057,573,636,537,817,046,862,278,720,798,
866,909,374,334,651,515,661,622,687,376,201,709,119,050,578,382,712,780,418,
170,572,055,744,003,352,454,869,083,309,181,545,320,530,793,801,529,354,972,
512,498,087,695,079,958,764,271,060,035,942,580,155,975,160,195,618,696,971,
863,355,868,603,962,394,027,850,363,469,915,165,306,048,878,581,956,292,814,
110,630,087,200,997,837,014,008,955,966,672,258,535,118,236,294,653,248,069,
006,103,199,541,621,839,062,509,738,777,037,704,407,506,645,606,682,340,831,
106,851,381,766,208,034,104,249,806,197,574,385,197,085,069,370,673,556,904,
363,676,779,951,048,819,603,027,508,750,572,144,326,575,856,222,684,463,342,
451,404,701,216,705,740,253,356,092,236,599,859,479,416,243,273,342,280,932,
805,695,031,517,311,244,771,250,036,503,905,015,776,514,641,231,244,839,110,
351,225,859,334,753,912,972,678,327,354,823,474,679,886,160,511,769,408,108,
588,963,309,931,945,359,318,760,588,585,196,872,896,517,792,052,153,828,479,
338,240,568,420,670,083,024,014,110,369,507,084,915,775,352,393,123,203,494,
724,537,006,018,710,525,879,869,957,804,623,998,216,049,918,525,018,359,253,
438,562,404,298,490,327,430,394,854,894,599,540,153,464,226,369,470,474,482,
042,849,234,123,460,331,121,935,302,449,553,201,133,490,796,910,627,555,746,
935,920,841,127,294,559,117,997,608,384,135,811,781,552,392,698,612,290,386,
262,431,200,049,721,948,099,680,484,789,140,686,014,643,617,354,036,104,891,
243,942,979,724,658,715,327,667,495,340,094,573,943,032,615,503,742,456,458,
208,662,744,358,695,714,966,201,530,855,212,013,711,582,074,365,623,207,045,
838,304,904,878,779,160,335,078,970,039,443,311,911,987,495,383,987,066,863,
852,112,738,117,456,762,287,567,120,929,654,967,290,452,993,429,208,893,103,
463,118,281,379,346,069,394,516,820,079,313,782,438,137,953,098,164,437,120,
148,688,890,106,668,342,807,584,800,291,939,364,387,807,497,217,604,254,481,
075,972,519,696,739,933,902,912,714,560,936,499,814,950,563,848,158,283,489,
149,384,321,660,398,442,141,958,665,309,219,884,135,454,362,847,637,755,000,
271,361,870,696,854,303,699,298,967,176,014,173,827,358,389,660,984,603,165,
385,236,981,665,852,388,084,109,260,243,201,899,765,545,625,507,085,936,282,
990,898,651,357,705,367,121,638,765,737,141,518,971,908,637,056,056,652,874,
551,480,268,576,976,547,229,576,378,190,647,944,661,512,940,673,087,205,205,
230,906,877,842,062,533,642,629,601,510,015,764,723,931,709,051,909,459,675,
286,690,070,322,101,134,142,573,595,968,858,249,789,486,174,537,391,401,324,
470,647,896,756,162,339,621,433,400,757,629,479,133,139,297,336,948,413,285,
636,400,978,053,359,681,459,553,693,638,501,039,038,904,428,427,157,765,763,
960,071,993,654,468,895,777,311,416,469,700,722,068,857,911,286,930,181,697,
317,953,986,367,161,357,815,533,107,857,699,883,342,229,681,495,450,664,752,
355,839,606,069,456,316,737,099,310,039,572,076,866,927,528,452,692,120,475,
410,136,694,159,624,703,337,465,346,283,371,411,706,184,791,023,597,406,595,
158,082,230,241,245,596,051,611,852,409,442,858,377,302,964,558,128,663,204,
442,249,794,808,359,115,746,536,778,754,701,944,058,014,687,754,338,124,692,
107,759,213,360,197,989,044,478,834,754,810,924,777,305,366,679,308,820,063,
053,333,978,546,954,728,227,929,941,644,775,401,702,795,799,134,805,062,735,
874,121,494,963,952,883,106,912,057,631,021,268,048,174,722,444,767,808,673,
999,373,251,100,374,929,750,194,961,163,866,876,384,839,548,917,176,045,489,
508,729,879,096,715,741,843,081,142,401,144,269,128,828,791,098,058,301,222,
619,975,942,049,497,342,732,708,538,851,310,501,258,047,021,475,515,943,131,
036,634,867,846,492,939,178,972,100,581,657,735,611,990,876,786,492,155,619,
900,081,502,901,324,074,687,755,989,153,618,712,538,013,096,828,196,388,856,
306,292,574,450,803,300,401,037,138,868,301,611,423,999,334,311,090,394,229,
302,576,342,921,322,842,457,892,853,877,824,886,949,093,053,977,917,061,312,
788,596,404,687,213,555,056,244,307,880,183,982,447,084,874,773,940,364,544,
772,686,492,196,727,517,861,604,763,130,381,597,936,621,455,316,395,980,158,
917,022,143,547,025,514,491,474,459,702,618,917,999,902,896,563,270,947,132,
977,748,111,548,314,997,757,188,625,081,268,188,269,606,013,281,217,826,224,
263,023,292,230,277,785,276,331,914,184,772,840,001,938,641,538,952,273,013,
659,530,308,794,147,094,875,810,435,305,275,726,938,172,214,726,559,276,164,
758,676,456,672,362,038,978,108,610,663,620,730,898,392,539,392,531,015,542,
008,802,532,464,669,262,240,175,440,208,227,870,678,008,036,687,054,331,364,
750,502,911,595,426,569,725,609,183,190,203,111,512,724,021,338,959,620,879,
528,966,652,801,635,344,871,060,338,074,753,995,603,761,700,934,588,570,510,
972,016,013,985,392,092,287,629,037,890,227,115,856,818,062,031,094,506,506,
747,827,528,035,964,163,685,087,458,890,040,620,507,545,240,838,144,356,480,
422,584,570,235,044,203,409,969,932,668,167,357,599,080,375,737,638,326,824,
530,551,174,586,397,987,457,171,319,540,564,957,480,898,278,348,366,828,392,
861,062,459,562,992,234,817,430,368,274,388,360,494,174,411,256,841,862,588,
731,391,183,694,109,176,295,034,011,172,908,061,101,865,947,893,272,515,767,
232,840,486,923,366,304,729,267,667,310,576,984,514,079,314,300,330,053,978,
130,848,004,832,383,250,239,298,763,253,804,198,635,664,802,589,186,844,231,
071,427,717,336,671,998,504,180,995,701,543,550,320,604,593,381,093,746,725,
782,545,783,809,922,810,111,227,999,345,218,625,385,668,006,653,715,584,772,
526,796,158,859,170,978,063,094,959,686,816,642,076,546,431,741,722,993,598,
390,141,750,965,924,086,988,579,144,645,552,612,576,885,960,276,121,081,198,
702,738,176,324,637,532,769,634,709,346,165,576,198,813,218,246,816,744,009,
348,651,437,369,165,171,802,374,246,964,295,892,516,278,246,185,171,079,812,
715,941,255,093,763,893,411,429,914,242,818,666,214,107,613,698,040,633,860,
046,084,120,471,658,336,814,660,213,273,995,374,489,098,236,446,737,839,559,
143,371,549,434,075,044,443,395,821,304,678,953,301,998,793,412,314,106,074,
824,855,535,654,403,103,911,087,430,326,099,819,067,699,820,878,061,591,629,
192,448,908,142,027,718,924,840,816,125,620,493,260,172,079,100,620,853,188,
305,186,189,402,930,989,128,359,747,737,052,686,609,379,106,317,191,923,524,
968,343,083,856,767,139,819,850,771,767,621,182,740,522,220,571,191,829,737,
204,470,538,300,014,553,149,499,816,705,593,414,160,986,470,580,078,407,596,
796,511,550,652,696,556,360,888,935,214,862,285,476,048,155,475,028,978,080,
330,939,979,891,189,671,170,882,603,133,079,252,543,306,206,379,818,590,852,
748,853,815,490,121,058,707,478,526,334,935,652,254,294,740,289,535,098,854,
132,909,035,412,910,742,569,402,550,249,520,084,599,427,567,991,788,860,679,
217,024,160,042,563,653,585,766,549,129,764,104,198,620,130,083,401,044,472,
269,494,222,162,660,973,207,191,948,629,169,100,390,021,819,032,190,957,650,
324,315,020,844,326,225,108,297,308,493,494,632,355,034,762,928,416,530,270,
033,225,946,007,642,721,890,202,123,690,736,946,468,624,123,150,350,320,452,
832,496,767,954,693,663,488,110,887,400,455,640,755,176,259,334,003,961,924,
795,763,525,286,153,586,463,213,877,605,175,194,613,871,765,047,175,281,878,
087,068,456,837,821,613,936,962,199,803,816,585,222,127,394,475,275,954,549,
546,368,180,772,054,352,751,866,816,048,851,040,187,679,875,374,009,988,125,
542,186,846,571,535,237,165,166,198,324,142,277,808,870,155,057,837,803,303,
944,024,316,279,058,898,922,386,017,853,667,411,907,891,303,238,202,240,230,
835,394,034,049,013,980,311,421,475,618,311,342,090,195,251,379,629,572,043,
103,325,457,268,185,028,015,789,494,518,238,303,753,600,326,774,719,223,613,
059,095,114,477,396,000,648,939,176,992,272,666,356,029,134,463,957,077,032,
287,060,771,627,503,469,913,197,563,544,912,805,331,558,141,328,673,920,122,
438,338,389,290,901,813,370,860,200,992,776,195,667,637,448,082,606,314,862,
583,181,117,270,093,568,912,656,760,802,284,677,074,305,738,654,300,985,069,
501,338,936,991,927,258,241,558,469,460,245,233,536,906,354,522,710,596,247,
218,819,272,885,534,081,115,732,117,115,804,344,244,194,175,843,545,849,826,
344,393,142,720,018,833,386,383,701,942,970,702,326,487,912,408,638,852,278,
226,981,647,676,790,563,236,708,347,711,196,306,600,543,118,722,745,355,938,
488,739,481,966,951,690,877,812,487,236,103,543,757,085,089,769,719,794,443,
560,337,334,925,812,906,539,012,178,729,745,665,457,654,983,086,740,431,535,
274,717,502,642,875,285,084,739,155,016,452,956,424,474,775,747,720,451,844,
735,499,405,532,260,515,300,221,594,495,060,920,149,112,782,792,071,364,580,
695,246,413,701,308,772,365,326,106,954,349,497,744,909,905,258,342,231,334,
537,760,522,082,423,872,514,534,288,840,126,267,825,419,973,480,579,798,281,
626,467,547,381,972,608,782,547,192,314,057,909,179,765,841,871,045,032,080,
991,382,384,785,086,414,095,641,628,260,514,506,672,413,236,168,513,775,986,
181,791,541,892,163,346,511,442,931,933,573,985,438,204,678,428,644,093,458,
894,796,669,486,446,812,513,377,934,329,994,285,490,298,962,494,565,235,848,
532,140,855,817,757,422,598,801,169,751,408,714,770,526,533,857,995,690,793,
432,550,475,097,928,741,249,591,910,381,591,370,812,120,305,640,067,528,869,
940,612,664,159,832,906,448,146,725,883,540,437,096,729,128,009,960,239,632,
957,062,174,388,515,892,727,419,668,554,663,059,516,508,805,567,806,866,552,
182,132,498,567,082,427,229,434,869,503,866,513,387,109,036,264,659,005,054,
429,074,123,682,490,989,950,262,065,698,372,790,524,612,769,059,106,770,678,
332,199,596,628,072,794,572,840,825,579,630,737,159,219,668,537,013,049,053,
029,996,532,314,623,565,650,014,487,486,751,843,175,972,310,602,218,595,169,
432,375,593,751,937,806,309,146,569,446,871,705,155,659,222,531,162,307,300,
116,498,372,653,200,090,037,379,965,260,052,797,090,617,422,719,912,150,055,
354,220,905,981,070,605,827,037,526,529,717,365,930,256,100,015,527,879,847,
109,517,455,309,781,469,049,114,133,080,033,488,925,780,602,676,321,184,772,
913,940,067,765,302,588,692,223,158,130,530,171,465,765,213,082,256,286,915,
811,907,484,368,070,792,162,350,181,653,001,004,481,624,362,968,858,302,807,
736,995,222,943,118,224,783,540,244,541,128,801,212,730,404,631,708,913,533,
373,161,142,333,894,357,242,512,582,313,716,754,273,458,151,365,630,432,096,
485,649,616,879,061,132,016,136,864,087,180,949,393,441,407,083,741,437,142,
615,718,098,246,266,935,794,320,513,382,467,703,132,405,060,553,263,319,967,
811,313,435,966,024,797,440,539,084,034,928,726,931,079,141,458,726,722,931,
626,102,540,306,683,601,090,230,629,766,433,672,860,178,513,657,421,003,258,
846,433,875,609,963,840,488,205,035,670,580,496,273,779,981,883,026,812,256,
690,457,053,480,083,538,248,167,107,857,050,427,419,143,140,336,380,295,018,
008,860,439,385,556,175,208,539,216,977,848,825,998,391,836,349,450,562,730,
868,869,362,601,131,839,365,591,797,325,482,715,368,137,474,777,614,820,942,
862,067,092,013,265,891,683,557,517,518,191,682,471,245,473,200,989,577,198,
187,047,551,541,348,083,434,161,179,491,814,387,625,445,988,307,442,651,506,
614,593,630,265,546,306,753,215,482,017,983,560,830,090,913,774,949,902,771,
839,443,306,260,295,737,056,165,949,770,797,394,785,921,038,208,383,244,738,
661,535,788,529,801,766,924,349,811,091,776,551,954,319,167,691,225,413,729,
169,852,365,447,553,077,072,230,721,036,934,407,613,363,060,896,824,448,794,
842,802,074,963,026,295,972,581,318,784,942,661,367,752,356,463,636,603,483,
829,189,851,519,730,400,062,839,163,558,854,643,581,125,151,686,960,250,340,
807,927,263,298,603,418,091,475,976,249,577,730,981,843,285,245,320,903,201,
396,034,956,274,237,890,353,312,745,579,018,536,077,554,926,553,044,787,407,
980,384,403,891,200,924,136,481,261,680,876,655,038,172,727,278,370,083,960,
536,371,146,058,342,911,588,953,917,514,538,949,355,103,817,651,431,743,113,
656,706,226,909,293,537,551,229,987,602,633,286,228,657,862,644,837,154,872,
825,664,817,570,236,165,418,241,703,881,111,757,670,637,534,100,561,050,379,
075,496,870,050,398,879,529,865,034,151,652,745,861,184,595,589,226,493,935,
894,952,358,002,193,772,051,673,730,052,340,857,179,107,357,714,445,407,519,
880,390,488,220,238,216,313,803,192,767,283,853,796,228,956,391,998,348,056,
033,116,322,792,917,545,417,169,015,296,463,067,133,202,784,003,713,768,588,
638,530,841,040,714,131,447,320,852,440,422,583,725,386,704,856,838,116,519,
299,455,544,165,508,751,159,554,303,495,914,768,394,111,746,243,377,589,451,
569,814,544,168,196,290,256,677,448,800,913,848,244,824,683,577,734,226,105,
240,471,012,470,453,823,572,712,343,442,168,957,865,907,975,647,055,255,181,
710,613,316,163,133,160,771,025,749,811,588,315,260,458,956,544,158,331,588,
838,316,353,526,144,159,201,525,431,240,317,872,820,532,582,973,125,379,528,
299,211,181,435,962,934,098,341,991,969,726,057,818,641,248,094,700,863,066,
074,746,410,056,504,234,885,398,152,113,927,592,916,090,572,757,828,085,371,
698,242,083,415,412,491,268,094,796,669,672,006,015,808,997,556,095,700,562,
070,215,719,741,135,972,055,109,868,575,784,642,530,608,482,858,687,351,522,
462,093,064,386,207,613,032,044,706,932,020,623,412,788,643,373,673,222,108,
046,165,240,840,143,844,600,314,437,582,761,402,254,529,226,201,307,223,451,
509,175,781,499,067,770,963,850,491,617,579,064,186,665,459,659,365,777,753,
886,055,337,562,821,090,851,633,761,495,349,161,794,670,511,158,619,456,621,
705,753,316,308,482,765,427,183,166,300,502,180,776,790,194,702,963,042,259,
538,622,336,842,663,361,033,016,872,242,309,073,961,021,265,723,375,456,976,
582,152,228,154,627,408,494,160,742,631,693,629,877,527,639,893,929,952,812,
314,825,680,170,183,127,306,655,900,220,658,595,110,767,388,213,807,245,961,
155,568,728,063,557,821,044,109,079,416,632,868,510,991,187,926,643,074,785,
274,963,726,512,307,670,808,730,595,945,051,919,572,988,454,266,669,751,375,
021,790,547,671,211,587,616,564,691,832,695,419,581,611,528,112,416,968,371,
659,320,727,345,965,746,419,880,392,946,390,467,453,471,725,912,154,644,680,
742,492,521,730,332,068,095,424,540,358,670,195,960,883,871,703,449,082,916,
148,048,915,361,649,451,914,779,199,329,464,639,044,220,191,859,072,074,964,
369,938,848,879,933,739,758,916,737,444,789,306,843,025,520,204,374,047,801,
598,171,201,160,797,576,949,271,809,128,649,867,386,777,405,071,546,512,919,
538,988,184,115,981,733,026,950,551,907,506,277,706,454,489,379,092,295,936,
766,249,617,563,183,112,543,206,459,629,506,139,022,517,123,486,266,173,172,
444,280,398,139,496,512,485,624,234,772,913,704,523,073,634,966,415,525,667,
969,049,619,676,527,499,995,296,143,310,530,077,062,916,057,859,719,758,552,
840,529,455,950,387,153,740,033,687,519,382,894,218,163,354,647,922,375,488,
266,968,836,984,085,528,783,919,447,526,004,760,917,438,315,905,099,586,682,
317,847,401,529,017,031,094,489,384,537,037,166,655,818,577,247,833,628,462,
726,233,403,070,729,772,834,907,646,486,054,612,897,876,925,106,145,909,710,
097,209,594,106,193,818,022,008,596,756,348,497,034,035,889,803,158,098,940,
346,950,749,485,232,155,999,513,713,804,760,894,057,695,187,490,956,346,888,
006,013,822,422,141,898,425,970,974,222,724,879,240,788,384,762,347,325,349,
813,225,541,583,262,803,374,316,217,444,864,660,636,366,856,404,248,939,528,
882,131,943,072,593,866,349,790,763,158,479,644,751,387,281,277,947,485,320,
288,384,541,691,698,139,522,571,237,384,418,992,601,315,031,332,245,579,439,
917,476,287,997,164,702,643,017,838,813,658,887,435,027,088,572,143,618,427,
045,607,504,259,623,093,883,411,167,355,368,074,325,525,061,299,908,289,054,
174,178,469,514,034,079,758,198,953,368,752,081,622,143,855,182,850,930,213,
406,144,851,433,909,071,208,173,608,004,422,248,752,054,700,545,894,397,791,
105,135,482,701,270,576,113,629,239,026,267,666,135,148,850,109,038,751,316,
548,022,079,239,053,267,800,151,822,968,917,512,768,720,017,890,984,440,342,
667,333,621,934,588,452,932,771,000,826,232,142,981,692,954,064,847,321,761,
429,174,721,108,640,770,004,866,487,932,578,776,301,221,040,457,501,440,748,
145,972,228,120,697,111,235,541,824,809,481,832,851,034,647,986,858,941,181,
392,775,268,938,561,987,115,750,675,092,849,539,991,151,981,736,660,994,065,
971,149,047,599,490,319,764,413,905,367,354,564,274,853,199,451,197,827,741,
997,569,416,111,275,459,032,415,203,483,785,257,078,892,986,899,062,564,948,
805,543,861,080,782,697,892,323,353,588,051,692,921,691,926,885,012,549,691,
663,543,358,346,022,058,655,502,546,126,897,577,021,295,177,715,641,490,321,
854,067,244,237,660,000,537,005,291,020,095,778,778,280,049,733,103,194,630,
436,392,638,417,676,234,053,628,013,700,723,470,547,712,417,131,675,108,903,
406,056,865,585,410,023,369,699,827,953,675,853,388,347,565,505,601,185,679,
300,265,629,404,025,305,691,386,159,666,491,233,761,968,265,239,560,969,199,
389,337,587,962,012,587,526,545,851,287,722,612,271,876,109,515,208,365,844,
096,308,225,404,655,827,066,270,901,536,665,770,266,875,550,026,308,040,876,
560,471,762,207,793,390,579,325,081,283,848,876,607,069,864,361,159,201,640,
974,740,394,933,575,116,095,515,098,795,273,666,867,294,892,677,263,382,348,
311,599,661,784,328,198,727,417,869,221,582,184,558,594,228,397,040,459,352,
890,924,553,767,117,360,235,864,275,664,063,096,449,666,803,019,390,556,304,
610,190,971,093,407,745,739,546,217,384,286,113,520,037,277,408,653,306,460,
955,566,277,907,323,871,313,246,319,337,698,959,244,438,842,534,659,950,380,
108,742,417,155,686,760,674,444,957,612,516,226,185,469,108,626,366,557,450,
474,400,980,511,103,700,592,606,759,297,528,278,285,838,500,494,878,289,652,
657,178,527,107,604,978,716,150,432,936,364,888,171,005,099,572,925,712,053,
614,945,276,503,786,294,674,739,759,108,742,051,027,693,078,034,208,238,566,
683,675,561,826,066,319,319,811,697,592,231,780,643,237,284,746,153,172,421,
509,228,902,933,275,983,393,331,913,238,366,778,515,010,378,110,916,647,043,
475,369,366,650,446,273,702,637,557,648,441,304,800,167,364,570,583,013,107,
211,280,642,650,808,124,677,475,506,599,624,881,171,276,619,662,653,445,177,
816,330,092,841,513,358,446,717,586,723,602,462,680,292,277,308,278,215,600,
600,196,325,040,096,236,885,168,454,059,750,282,343,523,144,082,816,353,301,
837,554,329,496,371,503,794,793,886,433,010,015,419,111,643,918,481,235,958,
847,619,306,827,691,832,528,626,525,501,757,373,516,085,123,719,808,039,799,
698,551,174,101,523,970,583,929,948,430,305,978,968,021,563,849,547,300,369,
538,139,779,162,377,140,246,215,424,819,545,124,004,069,508,699,081,238,284,
250,364,941,475,337,537,834,548,838,513,579,440,023,274,261,383,542,038,728,
427,120,345,889,639,905,353,458,829,191,839,728,851,708,636,995,026,291,633,
134,248,092,638,521,808,431,171,744,532,288,655,080,588,320,267,644,481,100,
315,677,250,938,532,592,863,769,189,041,586,736,551,063,693,453,363,853,487,
960,091,570,023,903,092,665,598,229,286,095,781,047,551,436,263,830,337,136,
677,278,627,843,557,586,901,389,978,467,465,184,693,698,827,468,188,432,086,
449,210,186,528,129,298,864,552,391,745,192,641,858,476,035,957,722,772,101,
505,257,534,402,413,439,490,070,615,529,003,895,683,799,896,459,210,291,271,
197,609,298,614,264,590,419,090,737,442,014,004,141,018,247,009,826,612,111,
559,829,490,846,033,457,647,289,897,508,483,633,231,967,081,865,071,966,506,
357,304,375,820,217,716,178,167,212,882,316,607,742,145,320,297,985,256,703,
248,956,280,388,394,388,732,998,232,656,606,818,288,791,346,422,509,866,888,
089,324,677,701,493,939,516,849,958,961,194,343,655,818,734,907,801,453,344,
759,133,021,719,722,274,745,272,987,177,397,005,858,116,149,246,020,750,682,
148,954,014,563,485,580,821,038,406,663,579,167,115,688,969,250,398,610,209,
286,524,540,715,829,364,426,713,396,437,101,606,440,509,001,512,771,950,879,
432,662,810,668,946,985,518,763,680,788,399,782,640,611,577,259,290,261,577,
362,599,213,133,764,872,370,075,723,902,006,664,825,751,800,487,934,608,917,
835,922,266,712,126,509,279,591,955,562,352,627,721,295,774,964,015,908,226,
813,774,631,390,205,120,206,049,465,568,862,089,964,923,706,719,019,417,710,
149,011,423,003,054,150,614,389,125,003,136,875,933,314,644,175,362,479,919,
146,563,928,372,929,351,334,533,082,435,445,628,179,162,601,426,953,819,684,
470,130,490,462,773,169,565,915,338,559,612,266,022,587,504,667,084,338,245,
989,244,537,350,116,488,588,613,329,220,814,409,308,270,206,641,167,932,065,
053,195,294,065,031,706,007,573,412,047,830,051,826,342,762,660,273,130,538,
157,522,695,819,833,940,836,619,506,562,085,441,271,118,952,594,381,578,148,
050,830,809,682,826,590,092,297,340,113,150,835,536,049,842,874,636,493,532,
574,472,965,120,479,812,441,304,640,744,993,959,317,311,761,701,205,105,491,
292,966,376,277,013,786,714,793,219,794,448,605,610,343,110,266,521,204,855,
843,259,100,918,166,014,453,282,662,797,914,955,459,298,825,294,867,099,977,
457,892,679,844,405,956,777,388,439,913,560,143,659,970,344,095,337,073,541,
315,242,449,349,229,467,679,190,774,128,655,619,204,705,988,127,940,984,729,
076,164,245,039,379,472,154,536,352,270,136,975,568,989,394,313,659,750,164,
982,198,625,099,517,579,355,381,467,790,071,205,283,058,484,040,118,367,971,
962,275,510,554,999,566,377,459,854,925,310,148,534,309,729,930,364,387,268,
548,930,031,819,465,816,851,973,158,748,477,118,655,699,067,990,229,391,395,
523,384,831,868,732,641,348,678,636,930,104,540,135,607,459,797,491,865,460,
008,698,092,159,556,610,381,662,422,048,857,710,823,985,408,420,136,871,371,
495,513,482,116,936,420,690,097,015,898,569,526,418,409,922,806,753,364,192,
983,490,686,157,698,222,352,453,240,418,217,375,503,206,491,133,053,315,532,
321,427,497,009,222,597,616,666,160,867,086,872,760,994,367,835,552,667,416,
255,953,004,888,966,611,959,192,174,746,169,923,813,652,038,308,344,048,636,
130,344,502,273,995,862,862,840,496,939,320,443,515,908,051,388,460,630,995,
057,831,609,876,037,491,215,556,655,171,474,670,132,974,771,642,489,425,328,
254,693,798,526,052,146,896,366,994,805,453,535,757,773,943,063,116,275,153,
165,752,935,717,706,844,947,930,529,024,354,148,892,215,625,818,476,558,198,
791,677,829,608,251,594,808,711,252,249,465,719,992,641,356,177,092,760,985,
772,730,573,032,950,393,052,264,992,685,653,411,463,544,762,498,595,264,994,
478,589,024,581,976,337,554,502,629,239,405,680,393,424,651,903,616,647,521,
738,146,885,966,338,180,104,322,519,680,930,703,591,565,963,563,092,854,572,
193,131,141,981,365,101,494,348,085,079,702,533,392,371,067,007,250,960,645,
626,491,409,753,903,718,190,003,922,789,189,610,014,050,120,125,412,595,911,
296,491,882,278,879,429,700,489,831,451,691,534,780,258,820,720,069,593,239,
832,242,202,297,920,418,183,521,213,736,793,048,918,825,762,152,151,454,120,
695,667,406,355,744,525,341,713,816,894,442,420,952,353,215,991,582,138,129,
115,011,320,540,507,195,038,330,272,158,338,482,098,476,235,776,451,397,217,
486,516,384,417,348,483,171,803,165,790,363,115,898,553,880,834,022,454,496,
900,310,405,231,747,365,059,428,286,346,496,570,437,814,998,666,082,216,994,
602,556,646,665,026,082,174,522,478,384,318,392,073,540,953,827,608,428,656,
787,638,942,406,576,732,883,078,794,782,896,325,974,424,252,666,664,227,469,
187,974,077,444,704,660,252,167,850,854,186,762,797,029,666,289,203,749,388,
341,477,148,425,159,467,743,452,778,989,181,669,331,766,520,583,819,083,467,
780,083,016,914,531,315,406,269,991,206,427,299,334,012,507,113,711,472,575,
795,827,643,981,190,305,172,481,874,966,732,579,051,829,415,849,553,024,750,
066,292,184,354,784,157,843,057,293,765,222,955,934,292,517,732,939,466,884,
305,768,243,321,100,188,607,795,454,419,051,939,921,965,757,348,110,592,093,
489,325,735,649,166,936,249,890,869,433,639,881,015,683,520,287,028,050,277,
335,720,907,043,832,420,073,969,639,521,107,689,944,642,284,039,809,645,243,
629,719,827,610,144,115,793,578,594,422,249,692,442,496,052,527,774,476,874,
098,507,463,348,261,659,426,453,834,350,976,354,172,387,399,274,603,718,670,
700,802,532,922,279,568,668,992,519,573,932,159,915,297,083,804,556,105,118,
805,331,486,698,006,513,665,039,628,558,258,159,482,991,032,939,699,593,075,
428,260,339,586,253,219,587,395,740,226,717,655,144,050,091,854,498,027,798,
359,475,350,714,166,182,004,144,739,110,729,481,117,603,500,466,887,446,688,
514,077,891,483,974,202,656,887,694,441,651,651,394,064,599,450,323,194,038,
267,404,047,746,444,266,888,033,264,786,736,014,265,523,953,689,900,430,973,
937,190,226,380,882,038,596,842,487,974,431,716,296,011,368,387,234,553,075,
635,729,884,496,429,175,623,235,138,547,874,228,456,049,099,113,451,337,157,
687,368,025,633,971,802,794,611,352,352,806,560,297,289,284,697,812,465,462,
089,599,425,827,479,545,607,075,563,253,950,005,694,143,517,589,814,379,053,
294,355,165,809,898,268,713,111,638,959,380,029,315,196,310,440,658,246,650,
164,155,953,078,449,908,420,709,575,050,528,652,414,227,729,148,797,992,323,
674,850,984,712,728,700,046,160,491,143,720,613,052,349,062,299,960,146,615,
949,652,917,920,868,003,749,212,548,561,790,918,168,683,566,564,134,427,680,
046,500,468,798,247,148,950,981,771,479,705,465,189,301,207,884,227,453,375,
895,824,842,260,430,135,638,168,669,928,193,718,822,729,124,906,951,291,792,
653,302,442,786,612,866,045,629,971,772,213,330,346,647,092,897,680,851,155,
772,980,247,406,991,356,787,178,481,564,581,089,247,150,539,061,205,444,622,
856,679,859,941,306,753,795,030,835,573,724,015,697,099,298,211,695,595,676,
513,410,539,448,823,192,485,308,997,150,067,618,081,401,643,366,745,757,837,
660,684,568,384,000,057,136,072,803,402,694,851,108,037,753,798,548,197,892,
197,618,446,623,843,354,054,556,031,789,976,220,311,772,710,847,097,633,108,
426,736,188,786,561,227,295,945,564,072,606,160,005,373,487,623,937,341,428,
401,352,975,752,759,150,498,306,625,526,337,527,631,684,221,835,019,889,796,
834,087,903,697,743,659,100,704,030,559,481,121,311,759,556,462,503,575,685,
667,955,151,619,597,299,569,572,674,331,559,113,398,801,792,768,095,122,706,
217,855,512,375,611,091,274,166,717,984,381,267,068,246,101,183,209,098,253,
965,481,158,422,154,660,182,203,087,385,561,263,324,890,260,559,325,227,692,
057,592,199,539,703,974,566,105,406,886,712,101,474,177,459,678,459,350,520,
793,304,960,343,932,471,046,335,231,074,908,184,827,435,520,292,539,567,040,
259,351,924,942,053,206,773,878,637,086,265,779,621,190,925,656,268,697,597,
710,423,090,040,923,459,464,517,774,225,773,241,949,249,392,577,354,185,684,
214,235,386,428,205,573,683,110,359,291,516,223,835,115,133,472,572,022,078,
018,758,675,043,422,080,588,505,716,496,913,671,108,737,482,688,049,846,956,
434,472,017,819,537,850,705,631,332,218,265,891,416,524,546,721,654,259,286,
315,163,768,695,420,044,121,888,071,114,188,329,157,510,464,742,682,505,732,
654,227,022,219,905,885,402,200,759,274,338,582,301,291,281,198,595,745,761,
286,953,897,510,914,553,321,275,951,587,431,236,426,989,854,201,920,698,514,
466,455,553,968,703,014,339,507,828,420,045,071,655,988,805,180,686,932,872,
394,951,402,971,452,121,667,316,976,585,968,360,668,524,997,276,035,318,003,
626,234,006,218,828,875,368,091,189,018,647,514,708,888,678,903,115,719,647,
054,098,706,765,381,665,260,163,075,648,221,849,499,009,795,025,643,273,135,
944,072,107,200,756,341,053,124,392,263,993,206,876,381,642,660,531,667,081,
556,257,472,397,135,363,112,956,759,463,062,102,050,567,540,792,351,070,668,
899,454,384,811,010,897,961,906,597,133,297,445,563,735,241,160,764,294,761,
749,252,234,709,765,902,962,397,519,938,955,961,255,788,171,816,965,077,068,
884,201,785,584,651,608,804,215,257,114,561,777,522,704,240,036,315,392,329,
491,392,238,451,770,821,040,222,036,739,599,441,340,313,702,024,576,080,495,
990,730,061,220,211,513,509,573,063,420,331,890,997,588,223,976,215,017,741,
115,280,941,593,603,956,119,448,833,692,556,213,324,759,849,300,550,581,622,
552,232,444,431,949,928,637,912,399,302,585,057,838,881,339,585,211,705,601,
857,888,426,163,577,497,553,998,785,641,099,467,170,954,224,877,943,024,761,
240,301,222,377,050,740,406,198,672,747,913,097,276,170,314,449,876,359,416,
712,882,704,694,959,967,474,147,035,287,318,664,982,553,246,096,601,526,279,
146,967,784,675,016,152,271,529,468,614,418,438,949,588,053,889,131,623,285,
735,073,003,858,741,640,501,783,202,610,018,745,904,582,989,866,533,799,619,
439,624,919,041,686,152,147,421,574,545,212,579,719,728,820,028,668,181,704,
354,650,467,168,549,971,391,003,880,545,743,106,755,033,591,217,869,222,787,
925,102,575,866,810,047,449,406,403,054,416,420,105,316,873,772,621,748,721,
874,480,596,966,812,969,312,862,727,622,901,185,889,821,520,518,822,999,455,
592,019,607,435,619,519,319,826,834,926,751,667,853,603,682,608,153,821,946,
597,303,095,675,678,818,710,178,890,467,958,567,022,072,112,573,966,332,555,
224,173,052,648,524,659,866,894,760,506,865,737,053,640,523,921,445,420,342,
439,753,672,799,875,344,775,523,370,513,027,490,795,393,982,731,695,973,445,
464,953,134,147,341,583,340,949,863,915,628,306,071,616,323,846,284,325,442,
986,109,973,475,990,334,735,937,201,697,885,771,716,105,665,209,002,753,457,
094,726,478,554,404,197,412,873,479,396,685,780,155,697,386,951,139,629,253,
220,021,426,041,060,499,814,688,809,034,887,420,005,830,663,089,261,390,768,
138,665,299,934,364,713,817,891,985,947,817,500,361,550,942,638,478,303,103,
207,850,239,113,664,647,496,204,197,249,300,804,078,295,147,979,704,832,675,
937,579,456,038,429,791,807,872,569,415,385,169,961,086,236,642,025,219,487,
262,233,214,599,980,184,264,317,243,694,357,581,415,676,989,691,780,301,426,
512,196,595,449,657,157,458,925,207,618,790,471,728,343,893,609,663,121,004,
415,266,483,646,587,658,734,321,703,411,296,865,412,332,123,811,888,601,588,
837,342,294,744,466,976,798,756,293,318,798,751,051,795,457,781,374,040,855,
273,681,336,496,737,097,627,855,326,179,403,693,486,252,665,011,133,919,703,
136,535,042,811,033,219,667,050,579,662,735,565,803,227,969,403,310,134,909,
727,441,388,994,999,735,814,708,577,469,172,183,588,624,351,763,780,258,473,
139,503,851,722,197,172,232,017,601,984,375,656,485,018,533,371,255,874,049,
030,559,460,235,121,213,529,753,235,008,168,507,381,842,159,531,823,431,863,
318,262,396,403,581,799,312,212,915,381,466,775,078,601,473,455,002,550,332,
427,215,421,516,533,193,210,851,783,453,492,242,584,738,676,533,748,547,517,
334,359,938,282,339,112,328,894,067,869,484,919,911,045,137,687,593,576,894,
023,994,019,337,087,378,430,308,296,499,455,318,032,353,741,773,421,746,509,
244,160,436,682,269,763,324,873,123,729,281,507,191,217,777,695,352,392,201,
080,999,019,436,398,177,951,463,594,360,566,130,676,960,601,686,476,109,073,
581,347,715,475,002,170,115,052,542,964,347,719,845,056,312,411,165,986,812,
915,576,672,409,383,513,860,551,270,736,034,750,364,484,264,012,062,987,212,
968,433,804,510,318,495,423,506,518,272,870,056,880,418,727,847,084,448,837,
924,863,967,072,115,627,604,762,641,464,487,427,261,950,551,959,568,158,641,
330,264,560,876,728,987,399,014,131,929,121,896,127,018,896,125,098,576,499,
539,891,696,385,765,695,592,639,353,908,427,259,166,103,382,685,119,918,865,
422,192,247,400,271,425,914,190,018,538,643,251,157,267,804,996,885,421,896,
377,027,749,415,048,572,573,419,657,638,908,595,403,609,612,576,141,383,222,
038,705,645,333,001,569,951,712,822,019,269,213,955,849,005,843,526,034,594,
039,256,767,312,077,339,471,322,038,810,127,302,352,041,907,742,806,885,593,
848,349,417,236,552,346,458,708,373,399,799,278,234,401,532,857,998,536,638,
955,388,599,599,919,832,309,034,944,515,338,589,350,724,900,736,531,641,130,
859,979,894,440,580,114,285,418,714,674,512,958,728,947,873,287,598,617,272,
179,825,029,089,199,066,039,002,859,493,747,607,874,204,863,500,610,009,448,
147,678,739,223,496,420,376,452,969,193,866,604,200,343,772,331,772,948,203,
103,513,506,721,274,156,865,448,627,084,518,162,005,213,790,595,214,942,580,
838,796,476,376,282,924,258,267,240,098,380,270,733,354,020,865,324,590,955,
290,521,218,726,177,220,427,008,308,436,942,515,152,664,498,671,812,598,104,
092,005,955,628,876,799,057,345,490,786,733,662,515,728,502,995,829,414,603,
099,666,664,276,863,672,452,081,834,805,307,721,656,228,114,088,814,154,619,
040,845,510,853,105,591,453,686,642,554,553,012,461,021,110,530,965,153,280,
411,222,449,943,226,807,423,525,418,947,092,114,388,140,775,251,458,732,222,
346,550,165,390,408,832,282,843,292,865,988,939,928,918,951,807,660,204,333,
083,252,924,005,411,304,153,660,909,326,774,262,213,628,048,032,974,760,103,
352,426,797,305,266,761,709,310,410,431,461,944,142,936,021,045,983,009,080,
845,690,082,946,256,719,267,250,194,745,528,286,129,841,498,692,679,090,184,
474,291,878,568,683,948,499,674,985,817,307,494,550,920,374,923,503,855,015,
139,369,636,088,372,849,567,976,773,147,752,067,364,936,667,932,208,648,787,
045,986,723,370,631,175,937,845,215,066,493,475,020,845,036,346,275,434,760,
024,992,060,393,035,503,569,525,575,562,001,137,913,564,677,509,601,300,304,
450,312,689,711,339,483,118,128,095,277,249,917,293,974,385,748,968,763,225,
974,431,342,715,062,917,365,152,537,870,584,922,094,931,853,357,689,625,721,
415,857,735,714,976,041,167,759,518,374,668,099,949,549,366,860,400,660,280,
215,803,730,872,865,720,690,040,314,106,324,792,055,649,558,132,599,686,319,
390,949,428,679,923,061,419,310,762,162,200,753,587,931,919,749,839,759,765,
373,719,404,876,603,956,272,301,977,271,847,997,578,454,480,364,629,545,694,
157,967,756,819,283,200,127,782,247,948,287,569,015,360,405,968,769,125,889,
185,780,013,714,460,272,882,956,381,862,885,992,162,485,424,911,012,929,041,
989,422,944,754,664,191,241,743,038,280,024,961,472,817,818,103,492,300,609,
373,137,590,597,287,368,605,146,693,363,357,325,149,922,894,408,918,117,054,
967,728,060,027,280,034,377,240,041,768,048,319,542,294,284,984,417,110,481,
312,960,666,400,344,309,831,390,680,134,595,969,669,583,280,520,903,729,826,
915,140,666,272,880,889,835,253,878,194,043,830,837,823,281,822,558,429,019,
171,486,399,662,327,861,880,413,591,223,654,417,415,752,696,796,484,407,697,
741,647,702,521,863,498,917,619,386,478,790,099,625,997,398,218,765,910,225,
222,578,158,195,564,966,821,532,174,556,798,371,343,695,239,526,059,051,279,
162,310,885,647,801,974,545,255,092,995,467,962,300,456,901,417,200,537,398,
772,363,684,207,490,721,826,941,959,774,196,646,840,486,447,864,750,569,470,
906,951,320,686,626,116,616,906,789,704,074,579,644,573,793,626,536,998,946,
996,753,906,024,202,681,362,404,275,922,193,053,941,234,985,606,984,458,648,
443,121,695,976,925,491,174,400,624,358,133,239,916,759,735,322,070,296,081,
032,209,848,909,402,835,553,483,889,553,018,884,267,184,372,933,651,579,455,
558,894,701,749,208,668,332,036,347,581,191,909,927,888,787,272,075,530,896,
184,370,213,340,547,956,203,201,202,732,790,354,286,791,025,684,465,646,953,
660,504,623,855,018,239,985,677,822,202,905,420,313,419,659,092,091,026,984,
839,283,755,228,630,286,248,105,671,492,504,167,408,978,953,582,697,666,757,
727,267,861,834,651,556,317,243,521,171,569,024,300,541,182,344,183,683,817,
985,937,987,299,052,791,280,862,961,531,457,661,927,223,036,028,866,258,734,
179,661,505,526,571,114,492,076,971,839,880,188,766,991,759,707,412,134,768,
489,735,037,364,557,468,421,440,246,731,085,664,404,424,872,110,176,532,102,
656,182,760,163,568,579,103,206,647,052,336,180,169,527,306,744,071,740,977,
841,316,273,745,103,690,766,630,581,443,106,130,141,010,556,028,040,526,426,
957,163,427,147,008,563,955,315,208,421,638,124,423,546,588,405,213,443,708,
430,443,835,148,055,515,643,228,090,969,311,885,490,459,312,257,585,815,303,
379,583,172,647,293,411,060,381,161,030,508,577,911,545,217,621,740,565,250,
158,355,344,604,041,355,016,605,782,678,880,544,098,520,669,077,255,303,758,
505,441,765,146,396,122,345,561,214,790,396,139,334,778,300,489,231,204,581,
067,833,157,762,995,925,479,065,777,473,614,496,477,112,193,503,045,956,894,
063,759,359,502,343,399,175,070,238,137,922,229,999,648,465,500,788,827,051,
304,572,461,237,031,297,828,245,017,180,303,082,796,322,816,727,649,527,570,
093,313,355,446,265,131,393,379,182,496,634,646,759,551,511,719,038,191,446,
329,540,024,517,827,030,651,511,212,549,239,291,863,541,468,894,528,131,547,
151,046,371,299,393,864,639,691,538,528,030,292,341,280,602,960,659,941,437,
442,846,357,691,782,914,163,666,031,512,392,579,238,762,941,809,371,777,904,
624,781,159,005,375,371,830,183,984,099,962,610,765,857,166,755,511,814,411,
157,243,424,915,595,404,903,625,845,592,751,704,989,883,895,798,706,015,818,
454,871,768,506,940,016,377,346,811,087,378,828,717,608,573,257,835,661,964,
138,965,286,947,928,789,355,231,979,275,262,845,366,678,397,453,194,208,355,
352,097,522,333,892,829,423,432,950,586,485,264,674,410,128,015,400,522,924,
395,922,664,099,492,135,702,774,039,887,616,511,670,768,820,824,766,461,798,
604,817,360,895,513,214,342,037,189,745,943,286,133,628,226,811,794,735,966,
693,933,073,543,727,693,642,181,630,159,706,888,831,384,851,842,705,167,806,
021,150,767,927,589,610,952,176,133,589,138,653,163,471,038,221,694,433,859,
156,038,095,665,264,252,519,840,725,229,148,775,211,398,909,974,485,001,296,
778,657,197,347,294,404,408,063,747,439,185,830,142,589,205,560,884,732,374,
465,985,645,621,807,648,528,198,000,473,734,536,755,601,893,582,974,757,168,
428,320,985,731,332,798,232,371,511,131,094,489,448,905,696,468,460,739,789,
639,528,887,206,028,075,488,358,222,671,734,264,463,863,635,109,752,252,153,
065,892,720,791,164,258,184,904,543,180,174,173,671,170,513,792,368,070,673,
567,611,113,281,482,088,553,365,173,201,608,169,353,784,104,955,784,671,354,
088,329,823,943,586,128,759,866,483,979,306,616,222,119,842,267,061,556,529,
989,694,182,737,378,820,931,432,502,113,922,934,268,835,826,838,311,073,981,
493,910,903,802,965,164,013,379,586,866,164,932,248,782,455,976,593,935,916,
046,504,367,067,195,588,983,379,552,292,464,116,315,133,703,529,743,768,566,
451,213,753,001,806,895,945,359,948,828,537,609,206,428,763,594,034,480,704,
559,580,161,873,159,187,562,086,664,003,132,884,647,574,079,852,207,935,531,
775,440,234,343,932,479,613,304,919,893,730,840,245,255,568,018,756,526,321,
606,872,264,132,601,382,582,679,557,231,182,788,043,496,574,854,021,410,349,
508,007,618,190,140,000,645,061,968,507,397,663,124,997,760,145,781,463,937,
084,068,001,800,081,432,648,923,930,033,895,521,038,271,423,894,256,214,262,
396,834,946,816,852,645,954,170,333,194,701,704,357,068,558,140,007,543,112,
366,311,618,717,805,589,786,046,464,132,241,581,909,656,095,837,647,545,345,
948,303,406,722,765,472,146,961,969,190,488,770,643,242,805,961,800,095,207,
477,755,026,022,119,783,408,237,239,433,834,614,992,086,107,628,947,362,263,
717,237,389,690,900,209,477,797,583,479,710,326,865,876,052,296,518,268,371,
103,537,579,467,819,523,858,263,598,449,895,546,429,161,888,639,190,229,784,
764,412,218,888,598,412,787,098,288,653,790,042,014,817,809,459,546,984,746,
102,704,130,908,718,816,682,628,839,804,019,415,615,092,463,880,283,474,466,
873,833,310,309,225,115,012,935,446,717,874,035,281,679,998,585,566,514,068,
679,776,374,615,922,641,639,417,273,534,314,492,865,663,226,071,555,565,506,
253,839,458,255,963,051,008,202,772,103,420,970,526,432,340,458,498,214,121,
003,313,714,931,991,474,075,658,960,776,879,731,548,857,908,505,027,062,136,
120,682,402,058,512,750,334,832,812,768,505,609,777,631,461,826,585,559,757,
239,177,832,493,076,776,585,573,310,035,938,849,521,953,456,078,222,961,514,
999,045,472,781,785,730,090,901,760,770,703,021,863,781,718,450,935,746,230,
321,859,636,381,412,224,577,887,162,363,008,799,792,839,932,802,052,796,961,
627,184,201,213,323,586,306,487,588,363,906,998,465,348,800,502,947,018,563,
722,880,884,385,724,306,686,587,872,759,983,167,804,212,765,779,138,430,642,
312,229,027,424,166,165,972,299,852,086,551,459,290,070,078,156,082,043,481,
287,474,039,739,382,326,910,135,538,210,730,428,724,717,816,365,178,410,490,
233,131,183,484,946,561,296,152,555,978,610,628,059,772,231,220,947,216,644,
520,200,548,492,212,249,252,910,417,135,564,426,519,221,157,411,080,044,956,
661,314,363,195,171,032,322,326,717,828,072,530,268,469,986,079,814,002,244,
861,523,094,728,411,840,517,367,557,238,159,827,960,480,283,868,261,910,677,
941,730,174,725,638,709,146,999,497,740,571,986,381,832,347,447,609,664,321,
040,586,989,476,810,457,698,442,365,581,083,743,411,263,841,243,028,547,274,
334,885,066,789,404,358,159,025,173,830,633,961,710,379,290,499,435,842,664,
133,527,784,969,725,824,456,487,605,035,663,511,062,246,524,738,861,606,962,
964,070,507,322,345,852,362,768,849,615,919,161,603,896,192,576,124,556,570,
374,450,451,421,489,812,084,338,211,764,294,325,048,799,301,426,221,119,768,
632,833,369,337,439,778,028,987,112,988,655,217,435,875,921,172,814,661,868,
680,942,579,732,232,815,628,442,206,945,100,653,656,263,163,919,908,085,536,
908,830,509,042,164,483,453,853,197,481,822,943,411,400,378,030,575,992,053,
296,044,087,980,511,527,424,110,473,348,916,598,678,872,967,584,690,784,692,
785,614,041,236,630,893,744,054,184,914,116,434,636,420,668,867,786,730,569,
845,405,651,318,766,315,658,139,156,605,830,903,722,340,657,566,512,204,037,
642,322,969,517,334,313,006,603,493,980,610,190,779,375,742,960,562,575,885,
590,454,555,355,318,276,552,159,950,182,689,008,024,047,650,831,529,447,116,
786,790,397,810,187,918,511,048,258,753,436,139,144,246,484,046,512,727,922,
177,850,820,608,269,399,724,635,084,503,220,830,582,791,676,189,337,079,028,
133,924,688,373,347,061,147,379,067,092,169,637,084,453,113,820,593,087,975,
545,757,507,098,086,152,400,208,279,583,518,537,486,101,447,297,327,671,589,
517,179,703,402,933,517,040,260,184,331,339,141,882,574,168,536,182,237,693,
563,679,283,618,775,699,998,320,923,597,786,951,513,637,843,132,366,399,950,
450,596,051,201,834,751,494,595,509,505,584,603,939,398,687,516,996,810,499,
428,998,575,675,210,694,749,335,985,125,696,340,811,168,451,289,879,106,508,
483,328,503,029,955,192,820,099,830,981,237,327,913,810,813,154,143,493,555,
900,838,020,907,938,484,381,780,821,426,117,061,692,629,663,919,993,753,855,
838,648,700,340,391,947,820,007,404,174,325,536,971,399,622,985,484,415,408,
032,412,450,294,706,249,622,348,754,649,818,246,364,592,816,933,713,867,516,
376,563,878,900,234,233,335,607,183,249,483,182,210,251,164,153,573,193,209,
454,015,314,440,197,448,717,664,528,732,529,753,151,128,579,765,574,044,092,
649,104,478,993,308,895,062,166,756,221,205,165,247,782,109,025,499,015,776,
343,330,817,357,740,906,775,805,251,334,494,467,028,912,678,825,206,179,940,
732,844,715,996,925,235,193,502,343,737,363,627,646,992,487,444,858,800,282,
722,657,754,055,595,020,151,606,676,835,667,533,552,359,298,630,205,859,931,
285,132,666,062,024,743,991,265,810,230,709,801,263,481,571,540,001,781,107,
778,831,042,773,139,370,686,870,188,992,775,273,942,857,157,272,721,107,867,
843,741,445,192,407,499,192,619,704,580,167,295,113,343,959,986,533,384,020,
533,625,778,486,549,534,410,024,983,361,456,133,174,691,247,231,525,678,476,
053,517,511,330,242,206,540,021,712,981,456,725,033,697,401,293,471,883,169,
497,626,046,781,454,654,796,390,167,236,322,434,162,389,894,940,530,429,934,
300,661,763,834,636,782,759,932,077,677,853,289,527,095,425,697,782,919,476,
503,056,145,382,005,300,998,478,993,153,768,412,843,127,168,314,548,407,897,
977,823,561,704,784,025,666,036,652,039,500,627,798,043,160,779,145,787,702,
339,872,257,039,666,405,429,891,891,296,768,092,866,894,917,356,925,049,144,
260,093,906,847,306,059,663,879,129,469,367,133,547,122,355,929,327,331,870,
652,019,371,654,656,145,131,864,540,764,144,253,794,971,811,750,089,037,853,
792,924,831,444,821,303,352,876,685,290,375,564,933,990,742,423,379,553,930,
265,515,951,587,601,214,791,766,535,063,567,636,795,216,856,146,163,166,727,
870,135,809,424,537,173,262,196,775,041,864,001,440,411,164,788,613,029,651,
116,586,168,519,692,167,397,957,214,334,789,579,147,682,157,082,222,596,236,
932,419,886,842,300,383,429,897,272,885,170,799,212,048,148,744,895,449,520,
359,415,352,921,276,606,677,123,556,628,626,722,430,074,017,306,935,367,283,
980,048,638,713,781,315,370,875,430,953,326,813,609,189,041,301,449,733,687,
505,853,111,983,509,861,986,338,515,209,305,387,040,796,196,108,237,707,082,
531,403,695,398,962,366,890,097,878,711,655,630,773,464,256,153,878,701,395,
111,653,855,937,828,677,260,871,781,662,672,544,480,681,908,030,004,165,325,
033,084,999,106,840,992,233,772,172,303,237,909,623,440,805,784,871,848,409,
711,689,783,385,883,327,156,247,231,542,728,348,071,529,442,469,031,666,370,
682,698,100,937,194,468,582,025,497,047,675,366,232,548,634,022,288,919,980,
533,874,417,231,313,083,683,385,882,745,166,707,234,796,602,055,180,599,452,
394,966,523,541,758,894,355,420,026,032,112,180,004,342,162,217,311,941,173,
927,406,983,668,997,131,545,168,979,804,226,510,846,330,964,966,721,636,201,
962,285,935,462,108,571,877,446,637,230,025,316,375,088,629,102,570,368,895,
802,301,682,478,443,405,519,508,208,335,602,013,278,547,263,622,701,291,310,
705,152,552,468,236,777,605,509,356,283,226,802,840,689,144,566,499,167,084,
464,546,646,580,000,951,098,357,743,194,549,014,588,349,092,851,462,074,984,
362,894,046,213,995,694,565,186,426,706,176,211,073,914,699,124,970,677,028,
788,149,545,282,365,120,875,753,545,573,800,291,274,023,401,099,246,968,353,
879,165,037,500,161,756,817,615,653,989,017,204,561,306,838,418,891,190,543,
790,712,150,741,879,131,094,850,356,779,355,272,235,646,852,140,665,885,897,
814,437,938,689,275,994,455,797,078,065,365,334,461,445,705,593,852,712,970,
077,997,984,171,381,655,566,929,572,883,119,837,278,801,545,294,355,278,010,
038,514,577,505,841,290,687,476,040,704,229,345,224,239,183,362,160,057,862,
047,941,411,754,809,587,351,822,768,710,748,009,390,872,023,602,161,195,104,
507,724,307,937,218,348,924,617,800,376,518,727,950,467,201,945,141,582,792,
826,790,546,681,436,459,203,041,720,243,936,707,676,494,265,648,194,797,091,
920,127,911,170,374,475,314,564,271,322,218,368,090,193,714,903,438,883,218,
346,984,024,970,123,837,086,923,271,204,073,341,319,878,313,339,724,081,831,
426,719,663,927,485,340,966,179,777,374,910,430,824,193,006,604,978,021,226,
037,314,583,869,238,445,343,880,741,667,909,761,304,997,176,571,372,954,338,
496,903,143,057,865,347,694,371,151,653,286,325,929,604,566,014,516,374,440,
796,593,333,027,397,366,851,822,614,195,823,298,103,935,075,567,085,316,275,
213,501,516,854,076,820,953,038,151,630,945,917,045,868,912,797,187,266,862,
754,782,437,988,846,809,141,949,219,749,536,247,656,004,807,867,229,877,629,
542,335,162,668,552,856,276,266,618,590,630,979,463,823,541,748,428,062,084,
821,173,544,728,983,579,553,422,355,416,454,597,182,966,460,871,684,082,788,
328,987,579,255,020,633,618,314,450,888,443,017,274,827,707,701,422,357,679,
971,307,144,594,822,243,698,329,564,576,221,776,964,584,690,427,185,185,822,
796,607,629,909,198,944,897,201,270,421,269,683,922,528,391,112,756,711,840,
515,938,288,476,655,178,730,929,802,141,335,734,028,483,113,402,654,206,509,
312,584,395,345,789,441,482,086,704,156,310,474,880,666,970,239,963,005,126,
596,077,522,679,792,852,758,781,097,926,899,040,105,021,642,553,675,087,531,
960,487,256,089,925,737,900,040,157,934,511,573,499,180,615,470,078,144,369,
870,587,458,770,180,991,977,728,226,327,459,501,665,300,325,489,363,190,250,
336,572,389,701,656,196,314,515,969,800,302,928,033,457,056,533,261,642,396,
989,306,756,558,378,911,861,805,644,374,981,787,073,536,731,213,102,325,058,
612,644,350,611,302,038,730,892,775,859,232,180,405,333,781,727,519,390,442,
354,481,517,254,159,231,136,634,380,509,359,903,100,871,896,911,113,424,648,
973,825,873,469,392,583,361,520,512,326,384,125,288,200,807,028,374,413,558,
532,615,538,990,410,556,364,157,753,218,722,051,647,890,263,925,750,681,639,
757,255,883,143,436,006,188,473,500,014,082,231,938,545,065,574,471,526,517,
705,386,222,179,748,202,723,582,719,193,344,709,871,681,036,310,262,281,818,
264,468,959,860,084,947,061,117,327,625,067,934,200,807,952,605,825,830,377,
107,173,194,823,182,663,935,920,424,758,665,923,607,444,504,466,686,478,832,
506,599,917,768,361,974,773,140,639,823,181,440,332,314,272,886,708,315,984,
249,058,743,655,414,789,768,618,076,099,881,400,885,407,564,936,353,544,311,
506,422,562,966,910,869,409,006,408,910,898,006,010,281,590,235,892,012,857,
459,578,420,160,609,389,157,512,021,810,742,317,847,146,710,479,655,074,061,
537,771,448,274,079,424,401,696,463,899,019,722,144,762,311,961,379,653,665,
401,253,909,653,360,638,697,739,661,717,106,187,900,159,813,664,672,873,421,
955,169,734,207,588,890,219,325,550,028,176,049,389,970,035,118,408,731,926,
257,364,272,023,121,814,148,493,979,847,529,765,696,430,405,227,448,693,548,
633,070,570,595,778,739,078,077,658,410,891,654,647,697,914,524,271,913,706,
101,331,670,982,832,937,573,137,971,401,825,687,109,565,103,962,951,772,558,
896,621,234,685,602,896,878,252,534,378,122,179,500,183,257,966,753,069,285,
299,209,030,666,367,745,611,405,879,388,550,942,506,915,506,010,081,964,413,
833,102,090,739,824,008,230,916,016,237,215,339,069,997,877,386,313,329,063,
876,891,917,035,932,264,407,230,884,998,378,935,055,364,360,270,300,689,433,
599,092,500,071,740,529,435,791,501,575,347,146,385,485,405,450,801,474,040,
711,223,593,031,380,738,803,810,058,007,479,693,768,813,398,343,767,643,499,
576,722,886,987,282,036,386,459,258,325,664,403,351,418,125,365,959,688,096,
651,041,829,984,841,982,468,367,166,638,146,943,643,035,616,337,646,478,371,
075,474,669,097,048,928,058,878,891,543,488,434,553,866,420,506,375,852,050,
618,631,139,962,300,578,171,891,539,682,355,983,137,060,513,510,888,874,783,
004,430,934,722,049,947,966,419,838,213,170,801,785,855,808,229,236,473,847,
591,832,009,860,748,175,614,175,989,162,823,324,801,568,820,731,459,598,267,
996,719,126,147,273,929,310,683,428,663,586,374,373,011,442,599,908,492,723,
575,328,416,135,729,752,488,994,316,286,710,932,941,914,169,092,953,747,455,
381,763,015,817,828,651,637,416,339,642,975,320,106,010,947,186,327,722,898,
319,981,798,088,264,871,617,729,360,303,641,462,764,948,030,783,084,913,402,
242,093,811,183,848,147,739,000,415,737,045,932,543,392,601,539,060,701,183,
451,944,642,222,500,421,534,860,350,834,402,979,670,686,388,494,285,838,703,
295,624,384,998,878,639,640,588,122,966,096,193,592,108,900,512,386,480,398,
350,199,649,144,676,234,579,598,697,452,952,049,289,944,982,907,695,461,791,
840,375,188,806,646,727,928,230,859,975,292,632,200,334,168,031,716,074,806,
105,270,886,484,992,472,835,450,938,169,390,883,970,454,091,821,063,230,904,
043,753,677,598,396,884,408,097,822,458,725,676,437,857,564,494,893,011,029,
240,586,446,012,498,241,591,691,929,186,201,962,468,316,196,192,733,958,385,
736,688,975,430,001,008,951,979,872,755,128,204,211,325,433,949,856,731,133,
880,262,207,237,348,663,768,255,588,589,060,778,277,113,274,436,378,943,716,
867,866,550,312,758,260,643,970,969,162,872,062,448,112,177,262,736,957,758,
589,144,834,183,678,046,228,574,184,280,922,370,897,725,323,037,099,005,622,
969,976,664,960,857,468,511,131,359,070,011,421,004,157,067,192,411,563,938,
319,651,460,680,449,267,348,669,215,450,875,267,262,957,491,800,924,313,728,
301,311,013,351,988,824,568,896,356,031,882,429,960,725,213,698,306,213,324,
810,335,911,324,073,575,762,677,334,888,513,760,837,323,025,242,148,082,513,
823,702,541,476,464,253,589,472,582,070,024,423,732,258,936,492,873,602,518,
987,731,921,050,497,700,362,839,691,884,452,161,868,917,978,558,375,499,790,
440,915,494,806,607,573,660,996,829,175,238,071,767,605,505,676,626,469,245,
012,262,913,437,587,511,849,385,057,515,859,038,348,257,687,664,267,416,602,
499,968,508,224,239,039,446,153,473,560,677,508,312,038,618,291,648,847,706,
430,230,037,037,354,713,195,923,172,765,110,661,343,732,349,695,917,035,722,
700,765,215,371,834,145,136,423,921,436,263,191,002,219,969,149,801,003,103,
842,206,375,797,167,254,859,035,845,171,272,230,704,592,884,493,361,230,384,
485,049,139,233,967,316,536,698,522,744,975,801,832,406,373,823,767,160,596,
257,573,401,619,845,695,360,957,990,707,740,766,033,926,108,173,514,419,075,
781,691,294,313,369,992,443,282,532,314,138,015,150,830,170,643,470,896,808,
076,324,405,684,393,176,132,798,445,189,843,583,589,116,328,868,957,046,831,
446,713,019,298,430,121,997,819,699,561,685,599,809,079,897,454,182,436,086,
779,254,696,534,722,847,770,068,498,555,749,570,126,804,325,023,557,539,035,
302,032,709,911,015,016,369,613,886,478,792,502,026,832,815,200,041,637,000,
704,641,374,957,978,239,264,663,661,672,107,982,802,114,472,641,671,475,634,
838,666,240,869,918,369,158,948,296,917,314,995,286,925,349,231,250,282,705,
917,171,128,162,165,671,459,364,512,236,976,995,899,371,836,657,307,132,683,
995,792,973,483,186,909,932,911,661,034,889,664,415,620,253,083,813,062,473,
698,583,944,882,429,218,506,364,590,903,492,092,958,174,600,240,407,919,004,
159,184,089,819,666,682,146,406,375,062,869,830,511,770,914,973,432,099,733,
021,528,071,225,232,125,909,825,609,667,372,651,870,250,420,386,054,259,249,
367,229,666,207,300,532,724,507,531,491,093,176,822,706,052,608,911,365,773,
491,542,049,350,439,015,212,005,981,975,773,768,413,313,807,616,640,336,758,
306,147,992,879,987,117,717,151,510,563,749,486,386,759,102,139,638,392,814,
796,498,629,446,240,061,637,450,311,220,755,594,064,898,708,029,451,705,455,
699,087,531,217,962,643,918,639,185,760,470,915,185,941,788,844,788,969,925,
077,845,833,838,445,095,911,796,999,153,979,407,434,800,636,877,243,288,266,
426,875,640,529,245,198,433,069,245,746,996,341,044,990,295,239,417,747,738,
684,235,499,301,051,586,524,003,304,527,568,349,532,757,258,653,459,123,354,
369,001,231,364,494,279,881,834,584,801,427,503,706,672,036,895,441,693,714,
493,116,610,478,248,344,207,295,071,605,498,937,951,848,582,994,093,683,527,
016,721,222,203,305,203,371,133,404,861,898,325,472,191,331,971,490,358,186,
599,438,636,861,218,635,553,940,189,940,276,909,343,453,742,879,438,667,549,
552,049,512,508,181,020,041,792,421,329,327,912,706,199,796,635,090,802,611,
414,253,820,783,451,147,606,921,788,698,654,672,280,446,656,379,848,102,474,
711,424,584,525,565,162,950,883,634,998,710,025,550,839,192,223,682,415,715,
430,208,223,280,160,636,868,132,842,012,846,810,854,490,902,135,593,118,564,
982,310,169,785,438,857,472,424,028,737,631,916,636,824,252,391,422,139,729,
079,842,648,402,701,216,244,908,077,353,640,954,427,162,226,290,435,626,049,
630,623,705,499,909,497,848,505,431,840,590,678,555,495,985,302,585,541,214,
367,900,018,895,486,986,703,036,995,935,934,780,007,296,292,327,276,209,374,
478,360,814,864,816,612,819,481,908,326,320,921,533,769,424,570,491,363,615,
023,000,046,676,795,873,895,795,704,264,065,565,122,988,206,972,960,791,957,
945,902,564,658,914,217,542,946,624,604,231,193,199,548,439,631,824,799,503,
849,019,545,194,829,624,520,641,792,165,090,156,264,818,860,627,846,811,157,
356,804,306,019,279,020,386,100,678,598,406,657,625,293,924,499,241,263,676,
081,006,858,134,037,310,387,405,059,314,321,485,543,976,453,896,369,200,890,
569,734,668,186,102,169,231,343,471,640,991,138,660,138,359,232,792,079,743,
386,405,253,288,995,347,453,579,446,640,220,774,767,278,674,850,171,876,235,
903,869,786,532,872,139,016,287,357,860,483,248,081,161,388,705,896,964,906,
611,074,878,788,087,485,052,244,749,974,742,438,071,421,797,955,981,356,716,
617,013,857,587,443,393,801,711,213,148,963,394,433,393,288,260,413,052,525,
504,313,544,885,406,809,140,622,895,038,416,199,977,272,784,083,283,637,733,
997,644,517,873,100,606,450,626,559,424,703,246,220,708,778,161,338,389,973,
464,228,038,893,132,445,613,649,769,212,834,306,428,048,637,336,512,089,050,
527,067,225,175,154,073,451,621,176,313,883,185,604,954,038,338,890,788,891,
734,494,620,533,924,964,107,696,955,879,927,901,445,109,951,905,308,924,157,
859,970,692,873,721,722,471,199,958,184,446,934,673,713,169,876,314,229,256,
134,364,266,795,664,121,511,927,932,997,250,800,329,934,997,868,737,109,486,
297,117,940,715,860,636,799,072,828,672,146,376,723,258,558,970,788,524,168,
483,091,332,363,332,834,922,716,775,712,298,338,558,744,453,965,380,699,174,
142,688,211,861,004,853,703,068,851,414,454,713,282,032,730,921,438,295,818,
333,014,978,827,020,886,554,744,612,113,155,126,834,126,631,055,548,509,271,
190,979,661,140,455,389,549,156,099,618,482,278,501,528,488,791,374,734,368,
571,697,435,030,963,216,664,831,335,853,156,220,784,992,982,271,485,781,727,
706,226,492,697,629,345,333,486,044,964,273,029,012,388,601,500,175,845,305,
551,992,141,672,579,502,842,813,798,762,713,311,301,824,062,779,060,784,538,
911,475,948,664,540,603,723,220,574,313,067,722,437,106,593,295,387,064,584,
565,621,542,625,555,590,901,390,294,753,999,984,730,745,196,503,609,900,980,
562,477,743,444,712,272,684,984,140,027,669,477,268,542,813,610,357,697,525,
134,865,938,436,967,274,265,275,657,429,356,556,777,863,298,175,050,929,263,
472,235,370,029,401,052,976,537,144,273,705,416,456,867,257,899,708,945,640,
146,741,785,555,961,759,599,931,904,570,347,188,546,031,585,344,554,889,818,
136,504,735,625,938,591,717,825,628,119,241,002,611,141,220,807,771,617,253,
560,610,274,286,227,529,276,738,091,862,957,759,707,048,766,397,776,447,508,
402,800,660,141,452,025,968,440,871,966,349,056,682,185,217,903,575,180,677,
489,056,336,395,005,907,287,572,715,886,878,909,126,628,468,915,089,997,106,
889,659,696,564,470,454,732,136,947,139,828,054,678,101,158,106,504,522,163,
800,624,619,062,249,498,502,713,731,612,971,037,126,294,481,922,753,909,779,
293,336,315,300,856,140,688,054,653,907,126,016,844,391,372,265,575,721,341,
877,915,004,428,355,029,052,782,457,212,497,461,060,891,603,673,364,668,369,
594,660,569,336,841,113,313,161,975,105,811,402,193,308,169,033,515,112,665,
313,705,521,312,109,212,932,376,167,488,083,467,645,458,901,212,993,791,448,
588,688,714,741,386,591,361,253,369,979,671,628,632,120,002,632,312,153,102,
389,804,382,841,792,609,558,409,235,477,609,930,080,489,897,745,281,030,324,
532,936,394,524,371,072,006,789,197,281,438,232,738,589,756,458,819,974,900,
957,836,352,834,807,509,328,178,885,455,131,073,620,750,745,569,317,469,293,
793,871,291,236,584,028,541,017,205,953,217,918,812,517,349,008,728,455,569,
714,580,496,854,933,140,639,221,295,495,986,666,653,298,118,282,857,981,134,
624,428,179,143,418,902,457,592,224,207,037,603,465,746,305,602,496,577,234,
700,004,682,734,336,579,894,522,242,690,432,381,236,617,402,759,232,467,006,
500,254,858,949,398,799,224,680,524,317,540,355,224,178,661,219,467,712,437,
132,134,313,663,062,297,769,799,110,017,479,006,011,288,269,003,291,657,143,
634,457,666,984,247,840,913,198,954,610,205,636,854,796,839,933,724,753,256,
020,185,003,436,436,158,888,778,468,405,169,228,557,494,986,634,311,072,612,
441,719,228,424,746,141,548,189,462,132,340,582,761,699,891,719,942,121,555,
591,119,317,309,933,717,472,841,354,021,518,192,762,432,048,843,382,953,829,
106,161,533,353,340,456,949,310,413,925,670,529,731,381,481,786,593,006,208,
596,149,932,718,182,427,880,449,157,047,997,130,334,680,935,586,077,074,769,
188,613,036,668,688,973,446,267,547,514,515,814,778,804,532,310,428,596,682,
383,935,739,369,880,953,959,834,800,087,691,821,893,320,173,522,446,643,434,
644,379,982,129,920,656,225,387,841,561,052,606,054,815,497,716,141,096,294,
200,253,278,690,484,907,692,578,702,115,697,237,038,465,104,044,318,184,681,
646,362,473,899,943,954,633,114,857,798,799,527,483,596,151,706,527,012,752,
428,040,885,440,607,779,623,568,078,142,723,979,652,511,732,942,077,915,849,
826,410,040,728,069,027,754,989,799,326,327,972,506,205,906,156,575,210,219,
473,337,163,314,818,550,722,287,940,235,698,441,148,612,231,673,773,646,966,
141,920,011,356,476,158,192,758,754,728,739,927,335,664,948,676,609,589,823,
206,703,125,356,512,850,197,747,098,759,290,563,058,124,897,181,503,060,242,
317,927,510,190,220,183,482,233,395,328,679,084,179,275,063,473,467,583,443,
671,717,793,390,636,567,999,914,566,816,987,123,367,074,909,755,778,852,436,
122,272,109,954,813,783,553,370,798,230,731,343,970,678,717,944,847,505,178,
376,338,424,344,884,284,922,548,889,098,253,890,563,090,110,865,581,832,765,
638,458,355,935,283,922,684,165,987,680,500,361,338,384,461,296,326,302,474,
821,828,036,461,181,897,236,835,576,088,686,485,795,772,121,679,335,122,883,
117,878,128,947,301,594,838,667,290,069,059,151,085,252,721,247,049,086,379,
790,593,782,324,292,947,157,099,575,611,378,663,159,333,100,186,678,726,040,
366,031,264,056,167,756,929,362,356,907,709,131,234,860,698,184,430,749,717,
866,045,110,540,857,007,943,142,415,333,076,787,715,528,069,463,958,398,080,
290,873,666,225,893,152,848,366,475,648,462,973,356,963,637,454,706,572,967,
112,313,622,188,108,979,552,181,078,208,631,453,179,629,006,629,202,940,518,
533,362,564,775,397,028,941,684,550,212,008,639,148,391,408,822,427,038,663,
658,433,478,520,597,514,737,539,247,302,133,684,214,248,383,891,467,177,394,
113,248,155,783,692,144,092,033,940,780,053,400,040,119,960,768,730,199,690,
177,430,625,063,603,543,615,945,727,534,729,837,887,320,692,300,025,065,979,
058,863,857,839,755,233,001,704,481,972,316,477,201,644,715,217,656,155,849,
181,789,463,431,695,563,570,512,978,615,058,327,504,419,197,257,296,786,620,
758,137,536,189,835,240,655,580,758,322,208,405,827,411,225,490,347,349,718,
796,713,600,068,356,263,502,966,103,414,572,737,646,489,643,559,841,132,524,
334,695,087,527,177,372,778,887,350,853,688,211,847,502,384,838,821,925,947,
111,373,943,479,232,157,790,844,191,830,000,756,354,957,329,168,914,944,899,
973,922,901,282,776,876,090,366,123,229,041,456,552,601,449,823,235,836,372,
977,483,290,627,780,237,275,220,313,970,414,708,333,696,264,812,677,989,767,
241,786,123,275,276,174,128,448,499,579,393,137,090,262,715,904,347,488,260,
885,812,979,650,535,683,352,933,111,086,593,065,953,697,727,186,311,903,453,
701,622,713,033,498,819,599,145,472,261,037,244,438,759,335,202,197,749,384,
875,829,725,746,447,350,042,706,068,045,684,460,575,399,901,989,738,848,602,
079,558,195,799,282,360,129,434,536,665,678,312,171,157,016,961,368,292,806,
571,417,922,162,177,036,318,092,748,915,600,073,155,838,848,091,840,749,379,
350,474,261,708,649,071,945,896,070,786,240,765,302,286,757,185,370,473,885,
530,509,190,011,715,943,147,156,511,842,709,116,486,374,129,296,619,245,598,
972,857,338,439,536,426,901,627,166,109,340,574,635,975,773,292,819,966,808,
009,293,999,304,313,927,940,239,369,023,510,347,319,895,379,994,895,890,687,
449,075,833,364,109,017,925,677,630,378,848,403,687,991,973,376,458,340,949,
288,974,851,138,870,097,053,265,862,608,692,773,043,164,627,163,132,631,944,
137,641,764,751,984,278,827,649,438,151,843,335,044,481,115,198,794,569,981,
606,341,016,682,319,872,003,104,105,792,131,191,848,115,944,488,910,434,743,
440,833,137,993,999,751,017,571,931,020,651,892,782,660,956,563,167,884,435,
356,354,010,143,640,055,324,727,346,363,100,696,807,349,864,806,024,909,390,
546,591,575,997,518,529,963,653,640,884,139,117,383,310,254,980,330,081,904,
381,761,991,136,514,697,237,058,491,992,695,399,938,641,245,106,671,094,623,
861,882,137,962,250,713,010,595,176,095,902,995,498,946,702,449,977,694,033,
132,249,897,280,279,356,503,059,221,989,088,849,842,443,865,255,687,722,913,
756,527,831,789,964,815,939,226,166,185,845,218,168,594,366,081,823,307,210,
273,326,371,599,491,170,130,763,360,886,309,120,352,741,103,301,197,161,156,
827,285,234,800,989,519,880,890,108,215,756,317,610,424,012,792,388,790,264,
022,076,072,306,512,189,474,708,476,448,016,861,160,410,323,916,545,055,426,
340,599,770,792,712,137,599,238,132,074,918,638,150,559,567,139,087,750,096,
810,196,751,270,553,958,801,098,531,253,702,761,426,356,691,141,764,754,606,
914,679,611,395,540,771,366,602,417,632,109,989,812,073,286,837,175,845,005,
036,491,250,361,800,474,892,756,806,182,762,319,500,368,253,332,948,859,679,
039,242,338,116,248,021,122,180,282,275,559,323,873,206,671,781,477,025,953,
102,070,984,659,528,149,096,246,419,627,560,291,742,797,580,160,739,102,147,
836,347,391,440,213,703,936,404,933,429,712,992,268,499,011,122,798,177,291,
939,210,411,319,764,260,309,753,408,061,221,379,821,623,805,685,414,194,559,
177,290,613,771,848,680,319,299,989,381,731,718,386,986,944,090,820,584,418,
499,828,116,779,980,232,582,115,484,735,561,239,479,867,748,414,782,698,913,
659,975,852,163,302,006,579,063,337,590,671,596,050,446,687,700,133,118,618,
105,930,089,935,658,480,012,967,185,353,071,996,670,735,372,608,416,766,518,
471,066,655,367,469,419,508,851,844,465,155,497,423,134,403,991,148,161,146,
469,751,788,583,583,839,903,608,291,785,118,880,098,470,549,990,948,785,677,
965,171,803,627,651,864,395,959,965,651,600,235,105,909,941,411,613,461,394,
882,613,471,798,688,782,989,874,691,117,894,384,394,416,341,641,989,910,371,
796,351,424,585,108,546,859,848,452,976,470,187,473,831,921,650,825,827,479,
242,402,078,652,472,819,027,381,955,385,750,619,538,028,795,752,271,270,422,
240,034,754,563,347,121,732,222,800,974,968,149,258,818,821,690,487,919,543,
010,918,696,165,893,672,730,523,401,803,585,190,345,798,422,790,001,401,484,
074,091,495,927,112,626,349,651,558,020,569,395,953,027,580,628,996,101,138,
298,844,834,872,938,249,362,981,489,313,409,822,402,251,594,819,211,878,746,
804,033,342,527,137,067,432,567,513,626,055,192,205,577,375,011,943,406,423,
556,956,504,403,663,745,297,725,382,635,952,420,433,326,946,118,212,622,004,
386,065,417,576,770,590,672,798,922,209,863,207,347,894,180,938,593,548,732,
647,894,023,276,999,717,441,700,013,046,380,554,647,443,484,194,438,581,634,
919,993,121,457,200,535,476,180,434,884,216,415,676,515,590,492,725,735,745,
182,657,452,784,201,023,392,781,765,727,269,811,034,701,468,726,321,666,734,
407,033,376,734,855,465,405,178,371,783,638,439,564,556,250,182,048,090,201,
343,963,982,386,031,379,377,829,053,489,837,618,419,656,971,751,652,009,670,
484,849,222,386,600,578,344,148,812,802,513,795,008,629,443,884,453,287,559,
482,040,113,313,873,214,996,552,120,346,346,036,909,847,919,708,531,542,516,
342,306,490,039,136,681,471,582,568,712,167,963,372,275,724,003,791,440,465,
701,654,917,395,831,769,815,225,942,801,368,704,697,671,747,077,875,529,542,
927,170,466,116,477,271,753,756,615,441,801,212,063,356,789,675,723,608,575,
764,144,160,972,270,279,520,899,290,205,890,544,713,171,933,255,817,671,873,
005,573,670,705,855,576,444,576,793,357,207,300,897,131,794,875,508,455,476,
403,731,615,229,691,282,625,008,124,026,785,594,339,519,985,504,930,620,687,
185,760,521,438,526,528,512,270,864,047,856,791,135,576,082,509,421,959,228,
254,080,235,387,341,012,832,613,100,224,647,861,221,150,080,913,088,143,682,
697,680,892,568,957,981,954,698,683,564,013,366,095,857,812,896,706,224,783,
144,947,476,916,822,463,779,304,111,178,937,801,414,984,257,717,923,657,364,
373,474,237,171,220,134,263,637,348,810,714,943,922,883,716,459,787,755,481,
301,909,551,169,020,517,405,970,127,870,037,183,597,676,296,698,949,880,605,
339,298,386,395,470,646,869,586,272,790,077,537,879,499,723,086,655,023,497,
676,228,740,678,832,019,404,693,821,712,429,420,559,299,481,870,682,379,646,
982,858,820,548,611,413,256,321,335,490,462,265,225,192,146,757,098,328,990,
249,124,233,888,289,628,875,881,391,574,768,171,952,852,159,588,584,644,203,
413,207,228,723,718,407,326,495,636,597,112,474,516,206,971,137,531,993,036,
146,773,648,564,416,819,846,566,724,371,034,713,144,068,991,700,167,044,742,
868,887,802,574,289,276,111,696,482,123,397,713,770,319,740,819,688,572,122,
645,417,894,750,178,136,562,100,599,352,409,582,090,426,522,202,994,970,726,
418,308,632,116,719,732,929,692,466,236,462,130,494,694,147,860,757,536,904,
255,577,519,361,660,137,913,039,271,531,870,124,883,127,376,642,210,037,264,
364,721,646,073,191,504,785,275,493,231,001,841,396,004,009,934,064,227,388,
779,519,247,365,020,393,785,177,169,421,261,924,471,429,610,913,814,860,549,
539,305,786,659,942,381,921,650,417,550,250,694,723,505,556,465,307,100,596,
324,637,990,380,978,950,416,672,572,642,406,071,417,773,656,805,151,671,868,
362,735,703,084,601,195,972,345,386,388,280,668,729,162,637,754,712,110,274,
454,206,373,568,868,466,554,430,945,202,237,020,536,364,361,567,112,262,312,
201,904,273,133,216,434,622,609,390,674,876,179,457,626,501,976,489,284,418,
637,850,005,991,353,663,860,135,292,392,222,526,051,147,558,545,815,791,530,
172,762,125,917,276,733,855,405,897,644,980,213,099,479,539,698,149,090,373,
783,199,993,643,780,128,266,639,325,603,135,376,620,486,977,931,452,230,058,
326,916,273,371,833,209,386,498,208,436,522,564,365,203,071,883,474,447,658,
107,229,784,054,570,551,427,739,171,659,756,260,464,929,486,790,880,980,174,
414,821,283,475,844,036,160,139,698,812,610,316,273,367,190,153,362,998,596,
552,808,505,042,232,211,085,445,726,844,929,717,967,875,992,430,629,349,099,
336,768,844,181,210,900,898,451,597,200,687,078,453,481,157,826,483,126,477,
958,122,958,738,498,249,899,152,032,249,926,214,949,420,520,597,096,678,619,
743,315,218,839,120,790,682,560,151,662,059,558,202,219,412,068,788,905,164,
686,664,363,324,708,667,299,663,884,976,642,408,723,011,948,235,563,653,276,
038,671,086,999,436,822,810,325,244,027,908,147,095,430,191,527,739,997,461,
327,705,159,020,077,821,885,241,994,996,608,398,092,695,162,821,995,378,321,
238,800,519,143,196,331,225,076,072,904,258,500,158,930,684,988,797,023,058,
970,239,729,086,880,924,255,512,994,307,775,719,667,740,140,408,625,486,989,
016,473,231,437,385,897,382,724,003,437,044,725,532,959,109,520,638,502,961,
978,020,146,334,820,205,311,912,022,633,294,976,949,883,677,724,609,121,662,
250,238,282,053,725,607,831,491,575,593,801,375,351,847,779,092,954,724,812,
210,777,890,697,036,390,145,462,879,292,368,600,868,160,327,019,971,436,500,
502,004,714,737,457,256,055,992,138,285,819,093,960,647,619,776,940,772,101,
089,694,776,561,160,370,341,037,003,879,695,724,454,898,198,150,059,144,553,
119,469,816,786,562,730,413,855,433,746,264,406,315,388,709,878,827,400,438,
819,088,390,091,699,164,020,802,803,471,053,607,828,876,397,220,280,544,746,
816,160,694,797,473,908,967,655,316,895,758,844,001,815,065,914,611,947,450,
628,103,214,502,828,082,350,839,939,468,335,121,612,046,763,018,341,924,565,
980,798,851,919,677,577,796,818,762,656,300,846,569,659,136,235,947,275,683,
792,775,600,445,615,676,557,867,434,095,017,162,934,954,813,004,594,948,400,
972,024,081,326,291,813,651,240,163,004,669,858,089,168,558,133,354,962,087,
635,499,685,069,109,708,063,932,501,343,568,105,194,278,512,555,131,655,281,
219,586,036,532,579,509,913,973,179,291,215,868,801,250,011,990,780,543,828,
395,536,302,591,540,495,759,485,243,534,689,800,580,863,090,107,137,699,787,
563,927,344,426,331,935,277,400,928,277,926,933,258,002,033,663,652,868,124,
883,666,180,466,181,262,619,292,317,521,350,449,762,432,797,815,225,798,183,
459,914,313,420,007,503,248,524,691,930,399,008,716,091,551,979,391,270,530,
099,881,833,165,471,856,919,803,440,531,619,309,381,926,488,276,541,821,599,
401,997,747,354,315,462,773,788,862,532,414,312,526,055,227,532,935,014,337,
593,432,574,877,398,867,455,750,017,656,644,656,049,708,047,529,426,594,077,
228,247,763,605,951,963,309,888,259,829,841,702,121,628,374,457,036,595,432,
047,651,491,667,986,473,851,021,733,712,258,110,834,320,383,416,241,916,061,
345,876,594,584,448,030,418,597,306,902,534,429,902,114,308,566,923,964,468,
584,217,917,714,511,610,584,226,839,799,772,477,841,529,355,982,370,509,734,
078,980,660,576,585,015,570,861,023,877,908,976,603,730,018,902,916,833,736,
454,077,745,905,288,529,455,810,961,855,522,490,674,893,968,103,530,017,696,
262,119,173,876,123,514,882,393,480,683,137,354,945,204,468,670,123,341,199,
732,980,983,876,023,207,873,537,355,974,025,464,410,078,010,149,313,294,138,
371,243,818,141,450,601,541,007,375,095,565,927,093,371,036,429,060,018,683,
182,795,345,938,398,806,591,979,872,324,689,798,340,413,056,392,754,151,375,
738,973,802,850,267,786,448,193,718,246,695,059,359,814,862,398,836,860,564,
190,650,240,631,313,727,479,386,189,733,659,966,855,480,913,437,980,693,983,
134,319,820,104,800,470,876,250,423,282,799,702,393,968,100,743,938,747,415,
860,972,562,345,129,048,845,231,516,053,887,135,088,365,624,657,398,635,684,
063,488,730,033,248,479,809,112,004,174,674,420,168,909,003,311,623,178,355,
027,530,111,279,847,663,016,954,323,956,830,840,605,340,927,603,644,938,628,
006,438,690,911,143,950,413,121,940,488,250,927,642,142,036,819,675,595,895,
040,399,019,248,479,247,806,108,907,666,041,046,801,759,102,144,682,538,603,
113,568,245,460,379,133,287,130,349,980,417,855,448,363,753,966,232,444,556,
610,524,025,703,747,243,599,150,011,526,899,606,619,778,501,113,905,481,414,
091,459,709,084,612,622,293,650,704,830,025,290,367,030,103,880,049,716,583,
870,472,518,449,336,013,074,111,238,800,099,327,225,199,893,616,508,704,634,
942,150,032,963,893,834,980,194,449,525,931,771,843,079,728,606,257,928,637,
449,486,700,459,212,777,299,968,138,771,429,603,418,639,103,481,207,913,226,
920,722,316,933,342,363,147,719,485,774,925,589,304,387,768,201,302,325,101,
474,166,451,536,169,091,717,843,463,370,461,026,248,858,835,740,514,446,796,
736,972,325,629,960,376,568,836,201,620,268,312,370,645,621,693,789,725,766,
709,594,770,356,728,430,398,986,988,515,770,680,920,369,031,788,635,889,608,
395,964,629,607,720,171,213,162,401,305,098,798,774,493,207,621,504,434,143,
125,570,679,001,128,233,330,893,100,306,623,828,394,154,623,216,918,385,093,
901,424,132,127,378,560,265,102,144,688,118,933,127,545,597,028,365,234,597,
531,107,099,116,633,418,169,368,605,768,854,542,257,427,127,024,949,919,579,
397,209,561,490,835,333,127,197,118,601,735,658,703,734,524,133,894,195,801,
579,615,677,182,078,703,733,119,587,757,245,637,629,897,008,755,866,403,747,
009,497,002,070,627,685,494,293,626,615,819,145,871,766,405,415,828,692,225,
174,605,893,740,059,738,668,973,631,703,123,578,130,317,488,960,611,816,217,
132,424,102,422,726,631,910,348,336,135,485,616,731,805,289,540,712,840,862,
891,188,873,148,556,621,707,982,749,350,478,537,094,474,327,266,576,774,462,
463,817,991,642,459,783,000,157,996,221,713,637,637,216,746,549,982,917,241,
354,998,119,295,658,216,143,313,184,244,258,917,101,356,709,538,281,899,321,
131,701,678,225,729,611,676,220,398,807,697,587,373,428,288,228,672,070,806,
704,857,465,325,890,425,805,399,761,842,715,833,864,638,699,427,235,776,178,
720,304,567,387,855,494,866,228,415,852,383,382,514,012,614,558,843,508,848,
587,109,660,921,310,574,136,812,657,464,791,129,886,447,049,513,467,939,313,
723,884,480,142,282,374,723,021,934,781,372,854,957,564,299,348,973,199,401,
558,561,896,525,993,476,606,815,212,154,921,465,279,645,855,785,219,890,415,
769,866,415,128,888,075,531,103,629,404,607,184,013,207,486,856,786,881,497,
714,846,713,243,156,016,946,288,859,247,990,439,575,646,317,566,576,683,688,
650,491,781,148,067,635,632,620,919,260,695,730,807,876,299,878,320,769,622,
085,884,655,986,550,484,760,378,075,213,525,868,117,773,888,760,652,254,364,
606,651,051,244,767,748,447,709,350,907,813,571,619,702,783,328,379,944,414,
121,117,684,112,083,358,440,583,817,201,765,865,107,739,659,582,306,292,577,
269,016,290,666,122,730,309,789,478,912,826,583,714,327,434,850,670,781,085,
462,255,052,255,833,619,672,082,279,585,809,778,807,647,153,618,061,663,372,
038,357,475,177,556,586,282,876,011,009,516,472,747,286,531,994,635,219,681,
886,271,842,262,665,992,162,440,837,411,186,397,365,732,955,555,702,054,487,
379,851,567,930,229,155,823,626,020,311,575,178,641,939,218,384,179,476,461,
723,131,094,116,642,931,864,068,648,773,108,239,504,269,841,250,026,332,532,
409,948,146,514,115,678,268,483,122,736,903,134,000,777,924,088,934,712,552,
037,478,263,648,356,668,643,605,861,821,400,561,092,193,879,480,688,172,187,
216,505,895,401,507,303,427,174,942,172,279,426,918,122,238,689,335,425,365,
016,235,940,101,252,021,960,609,926,884,514,009,641,437,458,284,821,028,155,
375,757,540,077,960,078,111,443,533,392,863,101,685,426,029,476,873,619,117,
550,964,452,675,788,949,166,897,734,964,696,523,442,930,351,695,002,442,364,
805,114,275,550,679,197,304,483,935,448,267,647,585,733,487,182,869,150,881,
099,770,509,412,825,833,434,648,948,097,620,410,048,861,103,814,523,793,427,
278,803,766,934,448,266,438,118,236,309,570,868,255,732,352,749,798,755,321,
940,160,282,322,901,676,316,983,837,205,514,046,939,456,264,599,887,910,068,
372,072,159,930,109,097,636,720,148,738,616,709,200,218,226,225,835,460,545,
751,460,584,584,018,834,407,304,894,217,564,428,779,561,555,014,552,159,588,
877,968,169,994,572,232,578,977,649,333,635,133,267,350,683,194,510,254,232,
011,276,918,707,124,290,965,407,851,170,233,877,838,668,156,270,231,782,550,
120,404,206,882,836,743,442,364,792,803,627,325,233,741,299,183,532,412,390,
439,314,364,302,426,819,800,545,407,813,341,225,738,771,258,235,244,259,308,
498,412,091,502,862,776,944,951,811,095,312,599,611,483,957,653,816,569,183,
397,657,513,495,086,757,924,251,539,317,036,501,837,429,654,773,033,553,644,
257,793,330,782,498,187,570,883,256,916,310,846,251,403,950,232,701,557,729,
907,184,327,978,648,433,670,552,091,199,323,912,878,470,290,229,325,093,542,
494,218,028,259,808,819,013,706,318,487,760,634,155,266,182,702,188,365,702,
546,445,382,203,255,297,248,690,381,400,500,945,924,620,310,908,491,510,190,
126,167,575,061,547,927,232,060,708,184,223,708,772,418,159,653,588,841,834,
968,248,452,532,857,913,830,735,920,490,034,695,263,079,769,302,007,380,562,
815,270,270,506,199,954,763,722,123,239,852,407,070,197,291,842,545,404,261,
292,429,922,109,916,077,067,598,283,944,199,590,274,459,995,691,734,295,716,
923,664,390,500,425,144,645,881,938,979,764,430,931,120,463,926,898,258,821,
694,935,642,984,399,657,154,173,325,956,579,847,432,146,819,242,924,805,529,
015,695,886,839,739,696,850,616,106,142,867,305,239,906,963,023,253,285,026,
937,142,385,975,449,963,891,252,594,640,984,846,988,097,796,503,514,096,877,
464,579,907,733,293,498,208,502,024,261,090,676,483,174,801,672,274,830,790,
525,897,823,345,821,871,503,022,484,352,183,245,249,306,854,022,570,531,541,
485,987,884,334,796,099,578,629,549,503,680,007,991,197,204,919,416,432,731,
803,978,967,098,616,161,699,886,690,336,634,047,199,707,722,704,128,124,100,
110,577,658,415,536,099,359,511,421,749,259,064,240,485,405,675,646,130,370,
804,076,798,089,800,699,146,500,928,094,565,181,294,109,879,891,332,685,080,
727,010,112,094,138,288,865,475,224,462,056,153,318,320,407,367,753,955,774,
094,310,103,887,717,665,387,124,258,591,223,762,132,966,144,515,503,589,769,
076,386,210,643,282,476,399,545,527,961,203,698,073,531,886,008,044,238,741,
860,547,977,022,228,078,109,263,852,439,233,793,084,022,463,329,854,167,220,
180,110,082,094,393,217,319,139,698,425,839,472,061,071,740,406,596,024,694,
242,143,766,550,714,464,172,616,404,782,740,814,164,510,592,878,689,498,301,
259,066,479,517,875,661,164,529,086,895,423,096,492,254,475,477,579,097,219,
819,136,230,789,738,165,483,542,694,957,717,503,963,786,182,004,906,325,829,
264,329,360,539,335,551,344,565,456,533,653,654,227,643,121,248,604,882,653,
011,306,621,941,159,368,058,243,813,448,887,408,624,501,372,558,501,520,622,
999,169,765,639,554,557,592,978,970,489,613,616,757,087,788,731,468,310,778,
469,240,101,082,591,631,187,037,968,473,908,237,713,759,305,092,059,918,130,
124,979,716,411,678,319,004,322,006,980,661,165,984,255,175,185,309,104,095,
275,712,836,134,939,785,303,810,300,905,386,794,217,454,212,980,453,107,917,
080,874,510,245,269,238,209,925,305,803,765,897,778,338,304,825,815,571,461,
825,890,256,143,262,667,924,494,153,069,093,738,543,773,526,220,636,271,598,
955,126,826,155,171,656,962,210,868,560,636,142,597,573,197,097,261,287,369,
824,788,974,426,190,097,304,256,352,426,551,802,983,198,824,872,245,159,834,
930,737,910,372,549,453,186,066,336,380,416,335,013,315,386,066,526,014,882,
997,253,084,747,940,561,992,768,261,663,604,499,691,303,286,008,182,795,846,
660,954,949,531,979,285,235,116,951,016,845,425,974,916,066,442,831,956,285,
859,181,338,952,668,837,475,832,199,845,024,579,881,492,599,537,764,428,791,
739,348,820,700,632,420,799,472,952,152,808,841,152,620,053,268,985,718,565,
426,554,383,795,307,184,239,687,880,254,399,699,318,941,121,298,757,788,558,
837,191,003,795,066,338,912,167,460,790,014,404,612,281,749,809,470,585,962,
115,697,730,829,532,052,195,015,833,385,709,885,582,421,640,435,996,227,326,
158,403,252,897,781,848,462,692,284,912,742,888,057,791,227,371,399,062,869,
206,260,921,887,346,419,184,792,518,895,516,258,990,696,048,340,081,422,214,
030,080,888,582,099,426,440,186,833,099,073,787,002,755,191,641,228,851,880,
156,095,164,323,907,668,573,799,612,686,513,522,212,510,577,734,843,239,969,
619,966,131,517,170,800,444,599,424,636,709,516,653,843,923,221,616,890,398,
206,960,871,842,582,697,570,935,106,335,919,490,807,025,081,396,279,148,828,
000,137,113,087,807,975,120,299,525,088,736,136,908,410,714,398,063,122,970,
719,393,549,044,534,799,067,067,929,372,186,224,408,560,957,085,240,886,319,
815,152,822,372,097,266,510,776,663,359,371,903,023,372,626,200,947,764,390,
559,033,628,173,608,949,549,088,967,662,431,616,899,234,394,129,416,371,326,
936,493,956,064,394,516,064,541,740,117,378,571,892,306,274,071,387,439,637,
442,789,627,125,683,325,946,898,968,383,288,956,928,723,074,861,237,357,024,
506,822,119,375,065,351,896,766,637,806,167,585,014,520,211,211,972,719,808,
934,825,600,533,793,045,678,061,676,096,418,443,321,215,282,024,000,785,712,
277,067,200,203,726,239,916,738,193,972,906,709,390,981,972,301,094,371,665,
671,594,837,742,979,967,272,974,338,851,681,238,986,356,492,954,282,529,401,
752,148,498,023,095,532,593,122,840,354,689,419,418,027,582,333,692,396,009,
748,366,875,724,684,282,034,366,941,098,963,701,170,599,396,775,463,090,972,
988,121,469,747,181,035,895,190,816,499,208,743,963,935,808,752,488,272,323,
182,307,709,873,634,024,507,193,904,480,368,005,545,707,702,011,564,339,386,
409,692,868,755,168,038,239,185,579,830,169,216,550,363,344,665,741,062,688,
517,812,998,453,900,886,885,094,794,395,302,628,285,529,802,030,115,972,700,
474,834,723,363,517,681,351,636,712,199,802,360,449,507,589,006,265,248,223,
161,065,560,501,309,003,647,888,987,085,403,283,253,068,714,393,155,528,457,
892,090,884,206,908,942,302,658,794,785,979,355,754,352,493,497,143,138,911,
138,484,375,470,062,986,162,432,775,655,037,744,227,507,476,707,343,528,884,
175,859,788,646,319,903,626,371,794,744,721,589,510,287,634,104,811,021,563,
043,311,002,923,158,125,779,808,719,295,053,626,892,439,403,892,890,684,679,
746,247,536,361,779,555,157,997,746,392,076,489,232,013,821,110,866,821,963,
597,990,978,085,697,437,003,002,795,711,989,208,134,489,124,320,818,220,695,
873,577,096,170,813,232,213,078,917,224,598,830,936,613,379,353,980,199,925,
335,819,714,170,032,086,491,537,358,125,709,303,815,538,824,265,396,394,311,
112,141,955,307,843,406,365,089,493,474,586,581,883,705,825,196,329,824,386,
242,574,413,937,565,323,536,013,113,841,810,973,534,337,149,588,741,324,939,
717,530,829,864,425,894,488,133,853,268,866,648,695,791,981,736,758,656,426,
174,990,425,997,590,625,216,408,357,120,413,233,950,383,446,044,234,653,002,
070,507,605,846,035,340,034,375,557,427,447,213,733,038,322,168,087,909,839,
039,047,073,972,596,572,407,540,140,108,604,173,514,312,251,584,047,203,539,
437,130,420,437,718,627,481,229,352,634,976,256,550,648,587,815,902,858,430,
945,675,369,067,545,243,048,652,230,394,817,445,299,396,050,005,725,890,392,
676,029,316,072,092,732,567,920,619,592,073,862,344,818,959,635,637,043,538,
421,177,751,187,149,788,101,031,273,306,317,625,316,746,311,279,651,719,931,
113,497,484,855,482,585,236,147,646,565,576,455,750,692,163,292,444,207,509,
704,578,392,505,059,559,448,382,277,768,012,043,990,883,114,178,455,599,279,
919,042,887,783,022,969,340,682,363,810,024,072,261,983,998,535,865,163,157,
127,781,368,499,102,933,664,420,289,250,348,307,043,130,906,263,480,125,650,
870,207,738,180,055,613,723,883,862,126,892,498,700,384,828,585,105,545,684,
573,861,474,000,693,934,105,624,474,395,104,811,938,537,101,804,781,413,525,
942,053,414,710,838,726,492,899,058,178,402,176,891,374,148,744,989,756,354,
880,707,752,760,642,281,620,586,181,371,610,239,603,583,118,727,376,459,217,
271,070,361,402,006,531,186,350,530,920,256,595,950,327,396,326,436,093,981,
058,097,940,459,483,057,057,362,660,846,083,716,691,702,289,065,265,108,649,
204,367,051,962,185,739,653,393,175,151,931,337,185,674,114,317,778,126,698,
866,343,014,899,544,692,874,287,891,213,155,228,687,672,890,355,009,137,945,
256,865,076,028,093,955,211,738,320,321,862,520,104,069,923,006,089,546,923,
636,653,372,246,336,940,912,972,483,184,986,946,882,781,400,586,024,860,837,
781,149,498,071,859,203,773,205,143,212,028,149,467,280,517,688,358,856,493,
132,927,577,774,257,760,972,898,338,869,973,865,637,148,289,570,515,310,572,
941,825,620,397,320,711,550,569,049,275,775,828,611,067,240,606,054,784,647,
956,833,831,878,092,226,865,871,347,566,333,226,724,615,734,930,467,395,656,
396,803,459,830,616,135,062,696,307,340,640,973,559,589,803,328,235,673,463,
409,469,118,210,093,828,868,162,961,164,812,322,873,756,491,512,739,799,285,
631,938,745,447,217,394,449,792,183,888,400,999,889,211,631,499,729,086,940,
923,087,646,853,794,653,604,514,688,121,730,550,613,402,753,223,381,580,554,
408,955,304,405,743,696,527,408,637,006,294,522,427,030,937,386,942,576,419,
990,292,091,651,542,013,845,121,713,842,044,107,816,309,513,176,592,380,639,
244,403,062,491,502,564,416,995,872,655,076,949,256,461,932,139,665,301,549,
415,502,875,854,181,919,295,090,194,958,903,962,605,322,717,578,938,046,514,
636,255,241,771,769,179,991,558,815,345,962,688,899,031,172,457,233,526,641,
456,139,702,180,605,231,200,666,586,070,506,299,156,752,813,362,348,252,363,
160,400,802,433,385,979,195,540,198,335,342,765,373,924,156,545,612,106,723,
337,389,567,341,599,681,664,898,758,317,439,759,428,545,633,988,560,282,676,
322,202,539,277,637,656,789,809,213,708,181,423,722,680,256,160,547,394,599,
491,703,675,409,556,641,233,858,463,035,454,942,252,421,181,444,278,651,090,
978,020,903,954,150,515,034,740,004,105,016,234,398,631,542,555,111,999,758,
478,915,340,246,193,876,945,810,610,182,974,662,165,839,487,441,023,750,180,
814,229,219,029,680,145,321,195,012,668,482,333,041,119,588,293,418,930,004,
218,850,156,415,168,478,681,613,371,642,340,303,022,603,629,271,845,662,340,
612,885,995,681,506,626,568,113,317,829,315,155,529,784,989,496,379,248,616,
687,381,228,569,876,069,141,374,942,544,511,198,510,651,622,492,164,104,369,
590,966,592,121,040,556,286,205,235,902,432,420,745,149,264,425,570,951,884,
404,367,318,772,963,101,023,779,865,078,295,714,082,934,942,196,703,739,740,
407,649,751,535,162,530,480,598,598,667,820,234,240,821,945,082,642,263,186,
630,929,511,768,906,619,397,056,351,489,383,454,126,009,749,705,503,877,392,
884,273,762,619,660,053,111,643,818,558,178,279,991,846,349,870,121,558,196,
180,636,979,828,866,023,573,483,290,585,655,413,705,582,581,134,435,045,362,
495,846,222,519,666,863,018,923,403,540,896,839,186,865,925,407,401,304,549,
857,817,211,940,354,716,068,956,899,112,287,378,242,929,822,235,535,182,434,
141,571,743,553,355,282,584,352,764,997,473,116,605,521,872,430,158,912,469,
299,835,799,505,822,406,481,920,792,956,308,203,292,612,210,423,563,974,585,
843,581,556,916,705,291,439,157,050,698,759,056,318,203,883,603,361,363,635,
526,473,599,005,518,910,975,910,485,786,335,395,641,874,458,318,972,120,043,
627,277,316,231,480,043,674,608,814,684,343,254,823,696,644,775,753,678,808,
066,925,360,419,315,971,650,746,483,819,274,804,385,933,993,237,223,585,061,
501,150,763,032,046,048,655,904,078,280,265,562,126,805,737,082,560,857,663,
990,091,985,267,754,338,979,616,514,565,585,312,828,171,862,618,090,844,241,
997,966,276,154,466,458,397,909,073,018,592,346,128,392,530,407,609,757,445,
106,190,612,730,970,246,210,446,671,470,829,976,607,432,478,889,159,702,633,
733,957,490,154,315,216,959,732,748,230,770,255,125,021,499,780,372,933,893,
530,227,907,618,673,793,026,391,501,512,706,812,407,515,934,002,825,322,646,
243,468,851,300,682,088,818,531,761,752,569,882,887,238,949,232,127,811,571,
307,143,520,926,583,238,282,225,191,214,071,403,742,369,205,732,700,767,197,
569,253,301,617,511,758,242,617,934,613,711,215,721,808,909,625,089,937,405,
319,876,692,488,287,678,668,174,057,692,044,000,968,574,253,308,705,025,897,
201,679,841,075,397,707,369,669,981,344,107,004,186,898,993,145,864,071,886,
497,170,633,535,880,039,086,421,956,285,581,797,415,056,301,775,245,573,716,
441,695,342,382,998,257,872,173,669,887,457,336,573,574,065,458,244,246,194,
787,548,264,250,681,831,589,999,785,276,185,557,409,685,378,577,844,872,761,
001,151,952,325,440,877,915,711,075,387,194,186,744,751,343,728,079,856,600,
155,388,968,416,350,510,926,719,931,643,077,405,737,388,411,921,750,898,252,
835,771,577,085,133,286,914,968,089,525,161,200,523,945,827,883,842,154,386,
163,680,966,482,627,197,078,875,326,358,573,465,673,477,710,032,698,826,706,
782,587,082,071,959,041,742,718,853,924,447,117,306,096,598,451,216,731,223,
953,991,839,656,464,749,535,602,030,957,321,672,004,415,779,097,252,280,331,
099,189,316,374,478,612,285,229,066,102,186,170,515,956,846,351,357,145,566,
750,983,754,743,755,358,469,099,699,313,737,983,451,661,969,146,052,251,008,
355,672,142,371,233,593,175,767,747,566,443,303,611,922,934,064,780,970,328,
348,352,069,828,872,248,709,169,913,806,580,550,718,304,846,883,188,730,649,
638,942,754,966,316,759,397,651,425,841,431,846,912,953,113,459,972,657,053,
091,506,060,226,035,101,051,499,412,078,410,379,023,172,854,269,017,755,002,
154,616,302,094,446,591,529,630,411,411,560,150,170,966,973,015,555,322,130,
854,428,673,796,903,488,483,158,820,453,258,871,104,654,990,309,178,845,098,
441,798,839,374,738,140,508,542,465,217,729,616,519,167,607,067,329,154,366,
603,889,760,057,822,424,313,080,226,732,420,148,656,953,262,326,073,173,304,
150,833,724,682,123,085,464,762,907,817,385,972,672,522,774,582,437,082,705,
995,837,792,772,615,414,544,462,195,553,384,564,233,026,685,289,753,464,809,
656,656,764,465,932,898,099,736,362,541,048,700,502,815,448,468,286,259,395,
708,772,208,681,274,248,081,638,825,083,310,861,712,479,006,005,676,395,250,
002,389,980,652,953,878,873,573,662,228,475,817,778,096,812,863,657,763,322,
948,834,547,123,618,530,254,725,561,482,506,771,981,087,456,456,545,352,814,
003,517,714,109,468,854,650,446,205,168,867,366,209,645,428,899,025,214,672,
236,585,556,470,188,612,733,193,091,424,063,617,781,441,820,821,416,141,412,
420,528,938,678,249,574,043,511,635,686,306,338,979,841,396,376,897,409,097,
410,286,610,616,812,411,239,471,368,374,313,837,602,447,138,141,928,106,380,
629,708,091,935,498,104,390,457,584,247,491,415,783,562,245,458,455,239,599,
579,024,082,463,002,357,205,430,177,822,268,899,666,430,450,112,080,284,088,
119,712,380,641,872,617,026,625,135,562,226,888,345,139,092,051,936,871,475,
461,719,721,393,722,651,369,344,189,058,878,369,656,817,211,481,942,320,736,
038,210,844,713,301,327,762,594,756,314,385,411,833,725,956,542,922,839,446,
350,707,482,140,859,206,387,769,190,894,432,652,478,225,636,689,336,707,753,
353,178,760,614,826,348,837,377,005,652,150,114,943,359,905,168,372,496,390,
832,295,384,778,879,045,416,158,463,595,686,028,907,849,740,259,528,459,189,
019,009,125,687,423,094,420,230,743,271,547,334,918,169,549,885,625,972,632,
038,716,985,096,644,098,046,272,311,453,660,646,325,417,941,359,138,466,540,
512,849,910,623,132,177,069,592,844,019,023,397,380,665,441,315,156,674,523,
592,334,898,727,191,009,035,504,876,061,963,942,310,712,297,592,019,310,003,
450,827,318,877,084,142,079,751,953,529,131,164,464,400,629,587,289,509,826,
940,381,490,628,337,040,088,311,904,670,889,031,644,083,885,457,118,799,369,
421,653,909,968,765,952,371,550,107,977,520,590,214,205,078,279,186,445,212,
462,900,410,632,733,333,379,276,688,949,826,578,601,441,046,762,974,287,138,
159,460,792,171,243,323,535,992,097,382,579,316,440,551,025,129,527,524,191,
930,016,922,933,087,332,040,146,415,817,992,653,983,836,818,355,476,615,780,
557,886,145,904,120,778,124,268,176,604,886,224,209,626,887,849,298,076,253,
519,855,853,609,128,568,229,633,384,430,376,191,138,983,179,399,702,259,343,
895,625,311,232,444,993,973,805,930,438,359,884,776,635,633,362,958,887,438,
124,119,072,021,090,094,963,213,329,175,467,927,156,851,676,580,315,493,095,
065,893,980,141,078,514,110,751,507,814,969,897,603,938,759,831,757,111,321,
471,700,884,857,396,592,188,483,655,554,617,734,911,569,163,876,406,961,730,
673,598,934,236,223,043,435,471,014,059,300,431,417,357,942,237,278,957,634,
959,175,566,739,125,437,545,305,794,767,759,580,848,429,648,906,660,448,081,
617,559,537,842,943,728,844,066,237,423,804,086,462,544,886,357,073,888,375,
133,612,235,120,798,525,281,047,107,143,288,380,593,982,336,756,401,137,876,
670,145,981,695,666,200,109,543,006,035,216,327,371,618,669,552,082,713,112,
574,807,513,290,367,762,318,187,774,818,074,327,170,680,477,363,985,943,839,
478,868,317,245,998,358,653,758,984,287,424,998,211,731,625,723,765,618,947,
813,311,169,401,978,006,104,117,664,361,452,615,888,057,556,740,420,363,952,
921,578,915,134,743,420,772,820,582,147,740,517,400,967,284,981,945,316,939,
924,375,626,012,585,971,774,538,170,094,958,621,941,073,684,213,756,316,884,
057,353,990,426,611,970,933,471,231,537,750,803,326,296,574,727,068,789,654,
645,179,536,509,366,919,068,573,278,570,005,607,515,546,432,248,337,801,112,
448,196,711,695,415,572,047,150,510,469,639,014,328,270,711,296,881,084,646,
005,767,050,609,298,085,122,039,630,892,309,359,630,673,397,713,142,789,681,
048,971,479,845,594,835,511,092,803,101,079,595,622,637,614,854,752,487,770,
958,863,496,150,733,259,349,322,478,271,072,422,814,829,375,589,771,169,009,
814,227,192,208,505,235,965,504,257,309,102,161,887,486,513,735,724,434,703,
792,288,125,968,642,202,270,121,032,686,651,471,599,794,079,393,287,325,596,
483,440,337,922,782,500,506,331,721,368,862,400,686,146,680,209,203,401,517,
907,622,567,844,072,326,618,731,505,243,032,557,290,605,797,740,659,141,203,
414,211,641,543,885,508,523,813,283,430,809,231,692,420,045,559,031,215,193,
997,405,326,388,171,334,779,402,476,532,580,993,129,856,835,625,093,597,553,
035,079,690,470,899,458,072,586,160,601,381,200,085,691,393,717,690,322,223,
636,851,426,186,746,995,182,571,007,569,258,760,095,081,524,309,501,424,954,
516,345,568,800,935,562,378,392,329,480,273,743,513,988,506,915,747,545,854,
210,670,752,513,001,038,395,566,270,363,129,321,733,906,821,561,237,942,073,
968,760,425,908,611,216,780,238,587,153,758,636,515,802,356,969,465,669,172,
094,298,365,130,882,865,692,529,005,416,856,371,585,394,724,880,558,979,761,
493,162,692,027,612,094,454,020,447,657,497,030,546,825,593,360,705,717,716,
831,222,077,406,493,965,987,531,777,826,500,805,913,949,621,644,211,266,419,
356,383,327,533,451,449,780,480,749,068,431,628,856,224,187,136,229,959,565,
593,762,787,265,543,968,368,356,203,233,430,316,655,578,641,435,836,222,326,
544,648,280,344,314,870,077,264,539,766,361,772,421,846,469,658,329,161,911,
263,185,965,671,625,777,038,669,282,353,065,601,342,781,460,277,133,811,361,
649,866,836,806,958,641,939,415,745,464,995,982,092,289,349,671,412,825,829,
830,110,516,518,425,936,403,294,008,034,456,999,875,094,784,436,559,210,198,
822,807,731,923,341,566,583,391,777,400,163,338,705,970,936,949,836,322,049,
006,536,485,200,704,319,959,211,481,379,317,320,549,587,603,343,389,001,680,
704,123,571,550,363,455,830,403,366,993,640,325,207,216,980,116,096,818,984,
832,123,987,602,901,724,552,247,541,611,863,679,859,024,027,334,140,420,486,
256,226,068,682,114,822,780,028,318,406,401,819,958,175,586,329,658,196,484,
135,610,887,891,620,342,048,631,603,357,966,163,691,131,314,965,125,254,341,
655,211,051,073,180,582,286,925,903,481,005,186,203,443,748,081,846,243,095,
983,522,865,460,141,446,497,299,133,120,170,409,125,794,974,535,904,060,775,
618,671,281,423,231,429,174,147,856,674,534,618,086,097,043,713,632,338,468,
653,792,563,277,559,759,853,859,906,614,994,235,382,225,899,641,737,482,119,
676,888,626,682,643,854,019,513,695,472,382,812,767,984,621,554,923,888,160,
867,099,612,239,801,807,910,898,305,107,192,792,180,289,204,492,791,183,084,
701,746,643,055,023,338,304,295,351,133,607,833,184,365,410,214,187,751,533,
461,143,138,432,660,319,416,463,143,824,709,151,918,557,575,648,074,001,324,
261,452,591,102,502,786,253,111,244,587,776,340,535,389,542,586,627,046,435,
592,873,719,147,683,371,482,863,297,929,975,314,089,990,805,092,775,915,629,
163,649,063,402,528,266,437,941,613,976,779,243,776,035,999,292,176,506,344,
301,170,715,545,066,890,415,932,161,281,090,340,588,427,525,049,960,183,452,
042,136,370,186,826,715,595,746,644,698,418,260,127,627,322,738,782,099,558,
249,839,337,125,971,687,394,860,520,872,092,494,230,265,682,877,644,790,369,
362,110,394,905,452,535,210,579,918,415,540,772,367,322,060,834,174,979,122,
554,926,600,347,605,469,556,781,140,017,060,794,539,799,040,476,454,035,615,
065,412,448,749,217,449,352,547,669,899,570,498,834,554,539,184,159,254,099,
782,588,823,531,150,769,052,221,878,182,711,398,393,716,428,617,062,881,490,
609,257,199,427,792,183,288,529,045,320,796,131,180,934,528,617,755,484,413,
285,884,776,537,398,120,345,517,279,486,635,817,877,523,565,229,701,357,911,
445,437,833,695,079,598,236,784,598,538,380,047,283,218,996,603,162,448,424,
511,341,564,513,691,756,021,892,439,165,787,351,917,087,763,012,711,812,992,
315,647,105,001,930,796,663,814,722,276,522,676,065,237,478,775,536,641,048,
400,801,810,134,546,972,129,472,141,718,764,144,311,603,959,190,734,390,602,
302,497,726,675,695,959,197,921,244,579,970,064,847,478,058,369,005,851,346,
309,409,210,873,674,625,676,887,276,210,653,397,098,361,910,415,422,241,995,
664,726,381,282,267,737,861,429,039,457,163,470,262,220,119,391,143,744,327,
036,561,093,899,731,377,118,013,285,183,683,126,697,868,181,886,499,370,853,
422,808,528,215,589,187,892,382,126,040,991,744,255,537,800,520,700,280,334,
215,891,665,960,807,756,465,238,910,749,525,479,458,908,566,587,939,642,059,
704,742,297,683,773,924,715,796,389,657,422,287,481,210,195,457,427,864,480,
385,286,020,791,607,732,444,207,861,376,400,807,752,829,688,653,825,100,710,
611,069,575,811,458,908,997,161,868,701,755,366,036,700,143,436,756,828,624,
944,151,479,267,280,123,368,993,075,973,914,611,196,988,645,431,270,924,337,
049,473,536,633,600,792,996,818,169,264,672,230,182,596,772,511,162,980,513,
254,633,336,333,928,693,505,543,486,098,000,769,803,153,510,963,146,162,085,
413,877,627,474,151,909,069,747,923,124,349,161,401,012,814,362,999,742,196,
967,740,238,238,546,832,437,576,562,077,502,859,586,487,226,614,196,113,824,
287,297,492,482,977,774,310,482,892,188,553,670,922,392,956,040,627,332,980,
372,666,862,286,573,080,068,174,172,315,411,043,774,328,044,895,225,194,969,
654,284,419,621,136,774,501,418,863,943,966,351,126,239,180,791,004,449,261,
524,793,217,889,281,691,570,728,781,347,854,502,542,813,372,899,136,263,090,
477,807,861,237,692,906,665,555,063,581,309,200,567,986,861,146,667,248,557,
571,123,942,958,381,885,358,216,307,944,925,438,377,042,401,139,715,559,497,
784,281,446,619,301,373,184,730,661,393,291,944,976,783,024,826,723,343,490,
974,833,346,681,505,433,926,967,439,172,093,841,847,065,975,690,275,306,730,
255,781,196,232,166,073,967,062,280,178,055,673,065,719,791,270,071,809,963,
101,793,259,037,446,513,996,417,631,024,655,988,430,224,400,867,983,905,418,
807,060,896,710,558,806,460,032,631,444,333,477,803,388,225,259,774,216,559,
202,482,516,402,951,832,872,338,515,657,167,592,414,984,368,167,182,271,580,
946,224,205,641,854,284,047,644,096,962,836,018,319,264,469,467,422,634,660,
693,872,663,012,044,752,553,946,800,156,868,515,955,394,419,615,144,482,095,
137,888,217,670,167,626,938,737,427,556,236,819,208,756,925,773,512,885,299,
093,658,748,325,964,798,363,501,338,169,577,915,067,955,665,421,235,002,891,
573,495,326,079,666,743,735,636,973,716,915,849,608,938,745,832,844,572,700,
292,616,084,197,149,045,963,618,925,280,556,145,691,953,197,782,269,183,248,
778,647,656,080,758,563,350,450,427,809,239,045,213,670,289,577,962,266,788,
050,437,435,365,951,994,204,058,863,032,770,736,134,612,990,463,928,569,883,
913,243,886,107,846,050,603,693,190,355,257,741,334,046,678,542,442,160,614,
225,886,937,586,041,689,411,595,834,686,724,604,157,509,008,155,951,499,646,
254,218,112,292,836,000,843,665,145,000,489,389,605,746,072,014,869,588,524,
701,609,668,914,844,060,705,101,593,174,635,007,850,106,602,143,286,445,679,
019,276,598,355,818,595,867,804,555,493,673,660,644,175,283,727,871,423,485,
461,638,602,957,643,268,907,792,608,623,611,932,104,323,372,276,713,425,695,
617,463,466,732,325,645,336,737,102,082,731,237,027,428,205,209,314,467,762,
698,537,082,765,075,412,297,429,222,444,024,752,599,501,721,939,092,154,866,
846,603,787,834,061,229,199,414,175,897,814,497,610,719,460,513,917,598,316,
597,686,468,202,932,535,074,051,506,579,198,041,228,460,942,805,799,490,606,
955,798,858,987,625,474,872,347,290,049,284,394,912,590,491,536,500,375,091,
076,160,007,674,971,329,311,898,557,579,849,659,751,089,269,966,521,758,111,
355,112,438,522,960,275,164,210,949,436,920,514,642,006,557,109,654,952,426,
655,282,989,083,492,938,259,888,318,037,769,648,155,688,282,741,321,055,706,
263,457,666,583,004,564,040,012,961,237,999,302,360,388,757,814,479,212,944,
915,772,428,038,646,526,809,755,044,626,390,638,670,596,190,056,335,656,336,
251,397,464,974,631,518,818,770,681,258,867,655,455,159,565,255,377,738,547,
403,618,980,188,624,039,914,457,818,875,490,837,198,121,286,355,069,609,476,
808,485,563,346,140,790,259,936,268,557,556,534,859,456,299,455,299,915,124,
720,698,387,708,877,367,639,035,148,144,037,993,310,060,467,468,355,394,154,
874,659,250,402,482,446,127,313,962,326,495,758,902,105,993,881,578,767,522,
989,359,446,772,386,870,077,947,833,667,507,267,614,919,874,987,863,573,301,
524,547,454,669,410,819,689,167,307,444,771,033,754,188,556,840,527,687,138,
435,913,309,971,993,511,915,432,200,316,539,748,685,297,695,899,282,031,001,
012,067,598,032,824,290,345,741,812,883,882,979,108,704,418,091,417,170,015,
969,127,487,151,662,686,269,082,063,043,416,149,013,144,112,615,659,601,197,
623,173,904,679,480,630,555,449,162,719,576,058,994,366,204,424,820,607,568,
512,441,081,725,303,470,325,376,338,177,836,031,276,765,140,879,361,343,008,
711,714,638,996,105,704,406,392,239,135,167,032,193,822,112,769,653,003,801,
471,528,235,531,532,107,077,771,785,542,173,693,036,435,794,264,938,622,490,
997,428,201,253,759,146,705,047,984,372,508,626,888,927,632,023,987,712,908,
006,035,548,642,387,631,270,649,045,179,660,995,347,284,566,642,332,803,044,
897,847,822,385,718,218,063,326,013,428,753,981,887,672,714,437,204,389,398,
721,736,044,119,877,658,927,443,925,661,690,711,402,148,292,264,704,723,155,
467,335,791,800,886,287,849,178,796,590,903,886,107,331,290,615,844,202,955,
433,691,100,425,808,317,969,214,487,662,019,012,756,723,927,249,852,571,886,
646,569,444,381,375,237,748,325,972,372,090,917,369,691,014,818,312,578,556,
628,967,997,000,931,508,410,742,511,839,847,498,107,146,408,752,432,700,557,
165,464,316,883,199,470,706,479,998,604,789,589,085,179,393,073,842,990,301,
299,334,404,664,260,366,858,093,951,045,475,529,479,618,354,794,492,571,077,
328,139,650,299,100,192,785,394,969,860,627,767,921,739,081,885,773,250,320,
046,957,867,504,799,232,437,141,710,897,266,259,326,396,428,194,412,400,506,
264,094,452,426,353,354,282,159,173,736,446,815,264,749,912,681,794,603,789,
293,445,899,062,897,376,083,295,024,194,888,018,484,543,248,497,436,068,975,
023,529,370,334,504,991,971,456,350,741,494,192,951,515,703,464,428,356,853,
608,805,238,676,219,782,725,413,255,196,033,367,584,316,666,129,168,817,690,
461,555,176,030,778,400,892,982,658,143,396,692,209,407,292,263,826,344,950,
741,382,015,356,759,080,988,588,227,610,145,650,406,289,240,493,854,024,274,
473,631,554,156,157,098,686,673,096,979,026,089,169,387,589,709,208,769,368,
504,151,610,842,826,636,069,332,037,313,568,027,330,755,696,455,945,967,200,
307,839,076,281,411,743,938,466,501,716,200,944,737,462,357,982,475,631,735,
849,783,222,128,989,759,353,643,134,668,314,507,654,784,718,920,998,680,592,
634,431,042,699,925,682,702,733,570,478,551,627,318,449,423,092,127,872,978,
292,550,763,096,507,336,593,989,635,101,343,831,772,428,729,385,045,446,429,
686,265,137,121,750,946,647,808,054,052,812,750,371,297,301,162,215,945,910,
144,940,989,331,655,760,718,685,980,680,391,321,621,828,522,002,970,603,533,
962,701,278,647,158,577,976,189,074,881,345,223,808,449,356,888,388,189,186,
306,698,986,131,957,893,387,759,608,196,609,046,536,324,802,254,808,143,015,
685,718,632,306,952,908,523,565,384,764,852,192,106,682,110,062,975,862,821,
195,105,972,937,974,087,832,125,326,937,230,045,852,689,781,198,619,984,551,
011,697,633,637,158,703,302,575,801,954,843,991,528,654,940,863,431,146,077,
984,492,894,507,870,893,414,403,808,264,877,907,316,409,956,084,493,872,255,
209,997,229,917,283,671,602,453,964,694,057,367,023,963,160,332,554,902,210,
380,972,331,584,519,393,143,166,505,026,801,281,782,730,316,468,714,539,357,
278,604,532,265,945,408,024,014,464,697,818,563,589,907,559,040,611,530,487,
545,088,680,919,669,901,675,283,971,597,014,161,303,025,733,307,855,204,168,
165,127,074,988,306,757,300,057,102,887,607,043,048,899,833,842,621,844,859,
095,982,536,336,185,396,756,175,835,184,237,583,900,347,443,374,975,692,951,
368,625,507,535,248,894,965,508,659,601,665,981,115,862,292,479,719,586,770,
730,315,377,103,724,174,959,551,818,500,063,896,648,773,589,550,977,539,763,
857,709,182,356,729,961,761,906,729,474,282,268,046,438,934,774,263,176,380,
076,178,606,012,315,690,187,083,842,533,689,698,364,228,957,958,812,729,801,
764,064,703,185,990,243,891,010,522,454,280,152,767,273,511,011,500,850,493,
719,814,181,071,436,985,138,388,343,047,031,910,841,404,001,434,326,823,230,
514,963,706,487,312,592,798,049,346,913,259,738,539,985,302,335,532,370,821,
722,433,312,561,469,152,049,739,911,136,861,710,280,826,471,344,558,602,871,
614,887,156,959,617,653,089,180,153,562,168,430,854,432,585,355,884,478,281,
060,368,318,609,432,645,653,983,935,837,650,678,075,085,531,431,803,524,403,
506,986,542,002,069,943,514,899,266,712,109,804,522,869,189,424,420,772,348,
576,559,389,824,954,895,524,681,923,098,852,614,371,520,137,168,931,089,472,
244,031,668,125,135,097,690,239,355,836,189,846,606,647,881,261,298,416,458,
371,441,818,559,038,827,631,701,315,880,657,513,349,886,090,457,256,514,555,
906,627,790,057,758,094,442,127,444,026,514,743,600,514,249,302,403,845,114,
739,202,683,726,620,136,721,199,650,464,183,615,138,053,640,043,073,217,430,
724,588,302,941,616,939,857,866,892,761,888,611,034,176,099,276,642,272,185,
464,882,895,554,910,607,479,311,564,098,239,429,505,012,286,287,201,296,292,
610,906,980,926,080,960,260,022,560,832,682,596,468,355,426,569,890,869,936,
185,032,890,713,987,886,123,903,580,363,121,900,830,590,938,591,413,384,322,
388,684,144,939,301,054,400,640,265,036,534,374,075,824,332,968,596,535,451,
504,661,384,654,809,808,597,740,753,138,635,840,543,190,393,141,265,061,831,
638,147,778,336,635,224,639,997,524,458,236,594,372,716,300,093,816,129,210,
289,574,572,683,470,038,875,495,345,771,107,719,578,364,805,869,431,818,337,
262,228,412,495,358,209,033,356,356,658,189,940,590,480,373,519,854,174,332,
311,152,750,878,584,127,208,562,046,658,714,024,039,343,448,159,079,987,879,
118,378,518,236,633,069,939,024,213,307,557,028,224,401,613,989,408,861,557,
037,872,006,435,006,739,320,514,695,585,189,511,534,549,845,076,109,510,472,
920,212,293,270,991,038,426,918,688,483,001,639,994,887,423,376,966,910,066,
693,000,921,299,333,006,978,856,059,368,789,756,404,852,029,928,003,422,883,
543,752,865,322,121,967,845,064,403,782,394,598,988,782,108,472,812,548,047,
452,566,284,574,676,599,109,972,938,074,046,901,113,828,638,390,963,687,835,
898,960,698,332,756,262,794,593,660,818,865,474,872,667,185,874,385,244,092,
194,757,708,189,701,540,683,514,859,532,355,294,545,090,982,166,395,853,487,
649,641,149,819,585,546,091,836,342,363,273,072,519,273,176,091,077,518,120,
384,804,612,807,174,330,877,992,224,475,277,815,461,775,557,720,898,517,471,
972,375,518,820,210,337,462,880,833,044,033,561,506,886,910,608,218,022,610,
374,573,205,198,467,452,488,493,771,197,113,653,873,527,514,275,423,456,631,
819,748,382,801,879,300,963,789,023,297,107,421,235,545,188,466,638,349,269,
169,162,057,178,956,248,084,970,480,190,075,548,881,949,371,891,421,448,184,
566,183,195,564,469,628,620,645,230,259,383,959,884,939,881,904,038,718,102,
202,872,377,437,134,437,492,793,565,387,154,482,761,259,349,748,194,392,819,
586,173,780,162,453,620,123,844,405,011,812,634,593,356,833,975,860,216,470,
266,186,299,236,456,489,935,445,272,290,664,803,963,014,520,622,881,255,060,
362,289,061,350,237,416,026,795,614,171,285,322,726,658,300,158,186,888,637,
164,431,158,446,379,501,366,961,790,994,032,464,517,916,050,069,386,513,924,
433,133,164,714,620,806,470,545,824,794,463,104,920,067,967,002,523,953,487,
374,454,626,753,891,264,321,250,348,092,472,827,148,835,063,373,061,308,903,
798,488,129,002,956,562,225,923,351,133,794,003,874,921,019,717,389,919,290,
680,435,035,529,630,457,124,137,861,667,853,318,253,873,345,340,886,010,980,
186,210,022,274,278,456,667,063,886,666,669,834,870,050,751,770,705,059,257,
706,316,579,835,698,013,210,234,977,766,840,350,574,628,463,526,046,526,666,
718,663,851,927,944,076,557,484,883,425,224,351,581,811,637,594,019,529,921,
885,854,591,698,016,176,998,187,376,968,558,116,009,602,912,608,628,620,510,
209,747,907,493,611,110,411,567,374,089,316,892,276,371,155,374,633,952,263,
121,444,861,437,105,852,846,913,547,020,182,709,697,874,350,647,820,691,831,
589,215,808,620,291,099,143,559,887,946,288,581,119,255,547,071,995,507,608,
774,559,666,436,805,465,444,935,329,979,825,711,634,720,343,017,236,638,595,
302,752,479,483,071,522,372,542,585,970,575,223,892,958,013,494,009,630,646,
396,972,478,416,365,884,332,782,602,984,781,072,479,057,719,377,767,384,011,
052,576,953,869,073,807,896,693,271,846,340,733,425,766,011,493,380,901,739,
781,639,409,358,789,738,559,445,859,429,806,224,206,090,476,722,121,374,752,
051,595,477,839,629,120,590,996,225,022,179,406,375,010,652,298,680,755,161,
280,545,868,125,092,941,931,951,415,626,731,414,621,166,323,484,567,680,289,
570,501,127,024,999,258,808,835,385,784,757,896,169,027,690,477,200,353,035,
858,439,813,313,107,944,871,946,906,609,606,275,005,121,881,790,817,929,670,
226,917,334,141,305,698,603,653,655,288,896,644,323,916,338,663,283,291,063,
245,911,914,060,843,548,157,843,164,331,709,552,575,178,477,655,120,416,677,
750,946,285,966,594,223,769,419,843,917,093,756,369,344,150,450,714,126,653,
128,763,499,957,393,663,368,262,589,459,736,428,321,145,976,220,146,310,591,
590,919,347,984,156,708,201,180,103,210,621,451,859,668,723,988,932,953,103,
626,560,817,950,102,408,846,176,183,574,195,828,367,070,097,588,026,837,065,
940,448,385,063,907,921,892,507,174,919,977,331,631,208,897,708,578,651,869,
326,147,874,854,284,996,983,417,620,820,180,178,509,293,503,810,795,468,524,
326,590,623,260,423,066,211,431,682,195,498,553,779,932,407,022,376,395,808,
944,288,263,915,463,272,250,234,530,196,419,131,868,333,903,911,178,248,994,
627,830,929,261,350,326,408,006,330,746,524,397,394,319,090,747,084,047,907,
211,634,576,741,619,884,312,544,572,827,361,372,372,840,397,685,464,612,586,
284,978,590,354,851,949,225,377,388,522,760,453,113,652,011,744,733,318,532,
271,347,920,356,918,502,865,800,818,442,567,423,944,905,181,539,215,422,720,
328,516,036,713,088,931,829,840,012,025,473,134,230,230,737,968,896,616,299,
587,603,224,564,136,416,108,977,891,204,047,643,404,654,361,783,741,751,181,
993,962,840,359,379,529,854,277,527,061,148,186,727,020,321,531,829,690,444,
495,337,312,637,758,768,866,679,833,950,402,039,208,469,016,392,247,981,438,
096,578,709,127,143,245,795,728,427,396,891,381,349,261,751,825,397,810,099,
724,469,935,839,404,980,549,788,014,235,785,675,146,580,980,566,473,995,555,
664,558,961,217,403,770,790,721,060,192,396,476,759,550,187,381,918,011,977,
133,558,786,782,086,262,523,796,667,388,277,795,653,205,386,022,152,951,471,
081,770,303,569,035,956,474,733,718,924,599,426,723,791,846,754,262,491,570,
737,699,424,854,438,971,533,811,344,502,281,480,366,635,217,467,822,288,641,
431,190,232,087,565,890,388,661,197,808,989,368,531,235,648,842,221,356,059,
197,608,693,669,456,927,962,433,935,705,460,753,061,121,064,348,156,777,146,
462,234,617,041,950,783,187,512,323,921,971,988,978,694,978,000,671,474,700,
099,040,205,038,031,479,734,675,277,871,139,872,130,441,752,117,484,554,176,
392,324,551,901,959,430,000,352,237,040,182,039,866,887,344,669,307,654,912,
408,381,946,498,080,406,595,153,807,667,117,281,666,145,277,855,663,056,086,
452,505,991,489,994,338,421,652,087,661,383,287,365,974,728,777,215,857,424,
320,122,953,697,406,839,973,807,631,117,001,258,313,982,338,635,842,406,612,
513,802,021,705,712,305,068,544,818,780,991,133,351,296,577,103,993,940,137,
162,067,979,343,823,056,022,202,897,111,650,353,430,382,434,035,143,017,107,
602,786,226,265,242,343,311,124,596,005,226,625,372,398,545,936,058,595,812,
053,201,406,216,695,787,857,394,664,868,582,695,259,792,400,613,341,617,543,
539,864,533,752,026,283,349,799,839,510,744,209,750,332,171,132,145,090,489,
317,158,764,284,926,264,030,840,931,611,846,466,319,073,156,302,518,838,460,
331,777,492,373,847,813,392,407,381,305,931,147,840,709,167,974,253,732,152,
003,545,309,611,969,593,096,590,515,781,093,862,604,217,264,051,109,308,001,
319,558,369,721,173,104,959,608,053,189,134,057,242,157,362,475,977,751,570,
526,274,423,413,905,010,455,166,076,507,547,720,984,301,610,578,703,562,994,
356,243,898,032,344,254,371,082,806,430,997,802,863,041,383,717,207,268,866,
912,277,092,827,977,009,909,981,619,335,372,769,937,526,822,618,849,104,133,
575,799,173,015,918,966,427,682,453,293,366,229,546,094,622,635,776,290,169,
655,491,518,152,653,722,560,796,597,040,332,218,904,250,964,500,909,953,041,
486,093,024,964,783,631,294,696,668,829,071,873,494,927,271,623,851,398,272,
853,135,246,260,428,466,190,610,210,973,553,869,521,913,054,553,553,199,533,
307,814,253,979,439,706,149,753,911,651,690,416,324,898,470,445,431,016,714,
857,647,192,208,747,561,794,802,482,668,798,439,341,183,620,470,286,495,558,
567,099,925,032,081,326,297,379,349,225,211,699,098,121,936,042,631,941,504,
241,181,217,339,510,815,313,578,033,684,670,419,429,395,282,259,628,383,339,
496,361,642,248,027,956,850,875,274,664,878,295,494,198,838,739,637,841,788,
654,426,201,824,177,154,894,810,376,588,258,468,998,224,693,703,212,280,762,
726,194,427,430,576,453,676,951,791,399,479,333,703,447,301,294,516,542,009,
507,011,068,838,933,734,342,360,555,536,866,004,204,399,466,967,628,133,244,
963,980,993,284,312,176,176,759,898,887,940,179,912,709,742,424,454,546,881,
260,194,489,977,863,949,052,748,106,239,285,638,085,443,415,942,610,507,311,
034,039,907,819,768,711,993,473,161,338,712,642,806,618,420,406,695,434,503,
528,819,444,442,205,755,528,678,382,616,076,157,068,883,528,212,255,214,060,
570,791,999,461,575,890,515,916,773,676,927,076,295,611,171,661,709,612,424,
647,146,780,795,078,500,580,558,108,941,113,166,703,989,712,704,842,767,124,
274,179,806,385,533,475,466,365,728,356,284,001,379,722,583,838,710,188,054,
646,679,791,373,239,346,990,310,965,283,196,881,181,524,861,048,570,316,086,
876,315,680,966,426,569,276,597,299,519,514,523,674,182,547,062,184,185,280,
349,192,923,134,503,302,480,307,200,558,075,053,062,195,381,557,204,383,834,
044,024,280,457,944,355,420,592,157,375,796,780,463,638,821,020,615,429,276,
165,688,543,451,193,803,104,994,210,441,329,979,604,187,831,258,701,461,591,
304,318,872,203,919,494,309,747,445,691,339,202,327,237,954,576,634,249,037,
788,087,912,788,104,784,398,534,616,591,809,887,347,523,788,466,245,672,895,
077,027,967,882,802,311,928,737,339,273,518,383,116,332,752,750,958,970,333,
630,311,084,889,712,529,712,582,153,635,875,339,609,764,835,974,992,846,747,
240,309,333,692,815,058,246,117,432,058,311,164,658,114,951,718,042,016,059,
934,259,874,715,191,125,859,441,041,890,777,269,733,815,295,749,102,817,806,
056,290,428,682,456,079,758,619,181,364,011,204,727,398,743,134,858,573,890,
739,986,417,252,857,101,265,092,676,239,952,395,403,566,442,252,411,445,028,
225,797,321,115,050,620,351,514,472,115,689,555,134,297,776,284,134,837,264,
753,058,674,650,889,779,664,333,461,040,898,541,317,157,504,070,777,030,432,
129,337,823,883,132,017,664,566,424,221,486,860,989,169,532,882,065,779,231,
846,785,285,311,759,549,138,368,422,822,431,568,186,410,089,544,019,830,573,
098,147,383,409,345,272,335,222,105,472,333,165,108,351,780,251,047,276,492,
824,318,237,477,002,390,897,013,759,639,682,452,410,126,061,464,395,388,140,
602,192,294,742,919,436,678,568,873,287,361,209,251,211,722,148,259,929,283,
949,997,427,591,524,638,694,930,741,365,472,584,831,437,354,269,252,258,210,
343,995,263,843,670,478,764,988,561,756,345,717,237,696,293,912,066,656,740,
572,181,426,907,333,184,920,524,156,072,302,749,325,627,880,557,500,256,048,
665,483,420,379,092,258,294,693,253,325,577,731,115,170,064,827,079,084,140,
429,797,185,337,369,719,685,659,216,402,215,873,527,806,556,014,681,539,283,
967,091,949,327,661,267,976,502,395,222,624,433,272,360,013,760,162,655,648,
130,703,268,561,256,037,703,277,468,122,493,683,036,481,906,002,476,003,134,
956,276,273,111,615,732,110,046,436,577,046,850,223,524,551,467,250,160,054,
332,835,271,191,630,470,570,757,375,072,827,882,097,438,858,047,576,546,560,
507,252,087,731,355,203,966,322,671,861,207,068,330,259,770,930,831,333,629,
206,849,640,866,554,632,567,735,434,295,465,443,900,648,486,652,932,207,126,
136,815,353,246,138,314,208,610,290,321,828,436,040,623,377,509,478,404,630,
689,088,872,531,713,379,779,051,482,069,017,951,381,480,635,633,111,009,505,
583,709,059,433,863,358,371,082,526,062,224,668,006,747,784,517,655,748,967,
172,757,089,513,816,724,294,254,869,747,710,926,091,521,101,211,392,776,030,
342,966,458,371,837,144,282,627,859,874,969,634,654,802,636,471,796,603,544,
979,472,218,031,450,038,901,040,930,372,055,259,670,981,300,906,347,948,245,
199,599,299,117,952,969,388,032,013,065,161,286,513,127,733,701,969,287,224,
618,833,291,431,979,090,527,678,519,161,502,311,052,207,238,265,048,327,674,
275,918,724,809,297,354,488,933,524,454,159,701,226,091,975,266,053,399,954,
621,629,423,455,662,311,521,716,497,035,069,113,057,103,086,415,032,150,086,
072,273,017,228,678,016,530,892,714,584,284,132,460,619,993,125,441,320,265,
930,090,253,801,844,694,196,527,729,893,618,964,710,356,438,832,021,364,907,
412,825,157,331,447,463,569,956,184,935,601,899,476,485,874,661,911,098,829,
638,847,635,150,546,549,796,073,108,825,137,994,245,600,817,200,429,465,725,
189,689,457,990,512,356,841,007,396,477,310,005,721,112,330,068,108,218,409,
694,724,234,428,419,675,622,191,032,748,779,818,188,349,223,197,721,983,777,
534,909,095,848,579,961,735,936,041,703,372,734,092,217,040,669,113,579,807,
096,101,953,442,904,585,298,755,627,401,233,021,508,707,651,293,634,983,043,
194,800,899,831,143,057,624,276,138,085,969,214,267,160,061,902,167,495,399,
620,131,125,903,418,498,418,295,271,409,573,336,773,820,021,249,282,658,157,
289,810,366,064,913,743,843,178,051,332,027,798,912,877,828,391,425,513,743,
969,711,441,077,812,140,770,280,098,298,251,041,063,248,495,319,609,843,503,
239,981,674,977,014,719,624,119,621,368,800,397,325,460,444,380,902,465,601,
413,576,950,224,105,184,341,952,695,070,868,369,497,355,925,995,799,334,414,
798,488,163,603,016,495,191,476,661,574,804,478,370,065,427,481,882,289,707,
689,150,746,622,116,165,696,001,152,355,766,710,279,089,734,876,656,703,618,
641,312,641,311,262,184,426,461,237,639,139,948,540,985,786,667,578,272,992,
649,234,594,373,936,044,953,162,352,703,755,214,569,447,175,333,907,599,676,
541,687,398,368,096,702,687,577,179,000,045,060,373,787,269,790,879,038,292,
931,743,212,762,657,151,280,263,093,495,034,776,661,852,209,653,187,516,687,
992,047,477,693,098,761,595,888,079,126,375,496,669,100,632,107,650,212,581,
818,170,856,911,756,139,732,320,538,410,132,608,826,047,462,362,804,538,332,
464,676,447,946,048,126,959,604,162,218,559,230,305,449,660,783,099,355,484,
620,697,546,161,990,788,841,244,730,734,878,648,570,911,469,564,478,844,103,
977,818,744,961,619,016,576,138,603,047,549,588,276,212,647,616,723,232,806,
996,020,829,309,590,947,034,598,492,516,679,290,253,853,900,851,268,204,325,
628,064,322,872,982,129,999,413,456,929,105,181,590,849,481,751,049,081,578,
680,217,628,908,863,260,791,319,260,783,592,419,275,330,176,415,160,178,687,
811,431,392,791,724,890,771,208,798,824,228,227,173,648,945,631,364,147,123,
723,720,971,512,168,858,077,036,314,464,898,414,166,542,038,019,950,934,645,
910,401,255,882,014,862,612,153,723,096,926,179,020,549,602,671,139,438,284,
815,963,325,936,691,301,910,926,979,432,211,969,814,800,391,347,703,636,909,
596,563,870,669,134,366,025,939,870,878,524,758,516,650,078,320,961,981,177,
689,480,006,187,050,410,611,098,107,366,208,363,542,756,795,040,727,887,933,
742,846,407,660,684,184,328,445,718,537,834,930,375,252,766,805,451,810,336,
719,686,195,304,290,311,754,055,695,496,589,637,072,370,168,787,245,038,645,
650,598,869,156,835,496,328,678,463,827,014,524,921,453,666,111,151,777,218,
907,470,662,416,667,818,812,408,668,423,678,308,205,597,179,225,330,325,169,
469,077,689,245,498,806,790,894,778,736,735,508,817,258,656,888,455,097,602,
599,570,472,530,139,949,407,583,145,445,204,565,402,097,707,197,635,933,491,
383,053,588,956,907,081,942,792,333,555,359,940,944,659,328,318,947,307,270,
320,560,058,116,378,194,768,337,153,666,766,627,840,539,182,195,919,810,048,
647,493,752,238,154,766,231,295,665,679,524,791,715,993,662,961,350,241,710,
497,589,648,643,734,643,987,968,498,482,700,224,054,354,665,963,018,033,681,
745,265,090,633,135,107,200,502,309,009,186,073,387,875,233,776,993,354,866,
894,015,795,264,735,984,108,515,767,675,613,025,766,137,844,808,402,521,807,
766,970,548,960,836,469,968,654,179,549,497,767,195,127,968,362,677,063,447,
184,845,513,599,564,508,432,725,229,709,217,849,277,559,693,778,145,188,027,
978,328,798,585,036,790,906,694,290,282,757,237,733,916,508,390,486,559,749,
536,282,452,175,834,109,886,245,006,156,866,656,781,407,602,280,572,659,368,
393,722,956,364,629,630,102,320,119,407,108,642,387,051,758,032,912,293,957,
763,886,114,909,138,677,521,748,346,133,695,289,601,933,805,637,031,516,925,
429,045,277,928,278,864,069,323,286,134,671,896,718,179,949,097,853,625,901,
907,433,553,983,520,081,451,066,292,424,207,396,907,854,533,489,891,636,506,
802,244,191,303,132,839,907,988,971,869,021,150,494,120,131,166,614,677,638,
769,611,191,678,984,029,609,242,745,291,940,400,968,124,867,199,409,893,322,
183,608,944,060,520,545,926,948,369,976,312,191,393,798,140,239,281,578,127,
485,011,492,039,064,612,522,280,782,774,160,998,592,670,324,527,584,959,017,
980,705,108,935,465,521,743,454,670,115,321,581,450,966,732,382,984,249,674,
359,419,113,801,726,564,770,151,889,660,946,395,057,819,298,161,715,028,394,
379,058,060,229,133,001,233,816,703,413,541,752,063,092,521,092,548,279,917,
176,525,294,008,012,521,999,947,234,973,533,535,893,434,065,201,627,364,005,
749,077,539,126,070,964,470,914,096,038,858,791,964,947,202,364,082,046,460,
058,142,778,918,163,451,847,327,496,130,265,554,270,733,535,224,227,800,722,
285,019,009,581,050,248,086,322,474,139,798,157,702,034,974,794,953,208,763,
766,885,429,475,917,441,562,665,087,466,449,362,014,075,308,950,762,456,120,
583,746,223,820,910,816,830,047,389,558,243,647,277,354,428,682,588,388,721,
420,103,611,473,623,593,700,858,456,186,533,951,534,755,948,919,157,953,502,
452,703,826,713,309,779,506,629,775,900,600,748,531,265,554,467,022,911,524,
043,644,379,323,940,329,606,806,971,726,118,987,863,938,314,023,688,805,689,
526,776,449,399,297,280,079,025,086,660,844,172,003,672,010,487,759,773,875,
682,981,378,756,274,523,902,779,352,466,841,656,553,519,072,193,016,569,615,
249,825,635,070,870,440,203,704,396,027,839,944,394,329,175,717,651,966,557,
965,034,721,186,947,784,777,825,855,359,010,489,154,918,933,922,330,297,705,
579,360,603,343,786,991,820,299,704,684,382,244,627,626,249,366,072,585,080,
220,955,159,770,683,861,426,768,833,137,652,752,209,627,684,285,847,395,255,
856,220,034,151,742,572,973,260,833,404,491,767,504,368,346,462,935,494,146,
199,535,744,337,379,594,577,464,105,897,552,877,183,758,097,743,987,106,364,
890,641,583,169,693,537,945,848,331,430,017,810,885,492,674,633,753,850,147,
918,184,177,387,234,072,939,102,965,384,303,976,650,710,148,878,968,365,283,
721,107,318,095,761,926,918,975,341,055,319,109,094,293,030,136,097,783,136,
434,459,298,882,583,789,292,494,496,585,826,199,851,653,420,028,527,410,720,
980,540,253,920,001,898,898,868,068,722,413,848,162,422,726,892,933,689,151,
188,361,298,963,852,688,829,297,922,604,424,392,002,359,678,656,850,349,426,
515,659,239,244,353,422,262,100,977,210,858,130,455,189,363,381,494,260,124,
134,353,439,420,695,282,253,241,366,460,053,559,368,484,117,688,323,570,674,
630,991,722,630,524,485,382,290,226,391,923,916,410,164,420,183,737,297,289,
790,976,913,410,935,284,922,012,250,014,695,337,235,561,405,071,127,140,421,
896,222,720,879,216,889,403,519,631,491,712,041,140,037,542,719,831,776,135,
440,351,256,631,413,014,809,197,864,271,532,160,913,137,766,775,780,545,504,
102,398,419,267,125,505,632,772,876,408,250,137,074,756,258,245,586,364,615,
258,229,489,407,183,033,469,816,516,969,119,994,596,391,038,777,756,642,484,
432,914,698,606,617,496,510,040,096,899,956,953,986,624,199,083,497,506,137,
725,157,889,356,440,152,978,170,031,907,820,503,449,322,679,222,491,658,689,
802,131,370,731,621,500,961,302,508,441,554,821,991,332,987,751,146,742,542,
492,458,472,882,883,354,816,800,683,948,754,615,887,057,845,596,073,487,165,
374,204,087,058,775,177,718,096,559,228,504,003,932,800,738,218,372,801,467,
701,409,444,884,443,513,041,137,331,080,164,567,730,913,553,509,415,171,097,
661,472,106,431,890,038,133,369,121,121,386,501,629,777,807,764,346,959,190,
477,408,935,299,302,293,128,411,550,044,504,187,911,897,703,330,352,456,030,
038,809,741,959,917,602,068,783,004,248,739,973,928,782,731,324,371,929,035,
486,805,358,994,961,149,880,428,514,110,330,877,633,619,423,486,230,036,863,
450,994,728,840,578,555,562,059,627,033,563,043,523,751,266,046,932,088,278,
711,485,981,443,618,485,874,847,440,175,089,244,051,647,090,040,729,003,256,
180,343,370,684,889,637,506,920,260,783,675,140,562,748,830,546,859,338,654,
720,395,404,360,734,579,212,253,178,877,996,427,605,347,619,655,743,697,133,
674,277,660,606,465,776,766,841,166,072,163,340,424,792,351,600,265,365,540,
271,362,397,221,858,846,339,969,605,604,736,528,413,059,156,418,135,979,181,
068,837,033,499,638,558,260,444,622,686,998,743,111,190,212,501,063,480,057,
886,533,489,452,390,751,150,254,359,265,551,782,173,840,966,725,911,719,171,
215,074,431,774,484,510,431,054,805,693,211,842,949,196,703,677,952,015,616,
319,944,068,374,394,747,104,251,048,946,358,488,430,632,025,724,177,014,017,
691,464,696,442,137,680,224,448,752,533,831,729,767,678,356,028,051,373,664,
316,659,302,502,371,129,314,380,657,793,908,342,896,945,433,323,870,236,515,
810,656,618,890,220,741,790,719,144,654,989,732,204,215,980,185,577,930,562,
299,769,176,203,531,061,644,110,256,367,492,121,942,453,138,395,121,759,804,
001,301,239,332,178,003,618,187,881,337,035,336,850,116,092,609,962,851,588,
704,233,456,025,961,697,447,970,621,711,524,243,681,626,323,328,152,538,440,
953,825,108,627,940,278,303,619,428,562,861,944,757,803,213,578,839,062,971,
303,614,016,010,614,115,273,009,631,358,328,109,904,740,995,955,138,567,200,
920,389,973,397,319,420,201,578,082,054,191,605,484,430,458,160,122,749,560,
428,802,454,947,053,993,555,234,357,540,777,924,721,498,940,699,441,772,064,
629,866,870,579,643,334,037,286,571,474,706,582,947,237,730,478,470,223,366,
222,318,818,880,013,729,381,569,555,296,383,447,804,301,627,448,808,566,676,
985,064,156,825,521,420,216,480,282,470,376,802,139,874,193,250,785,915,719,
737,153,282,276,475,319,126,465,612,218,009,763,625,115,958,109,198,876,577,
681,353,851,601,618,492,919,652,343,779,377,309,510,709,000,423,489,201,366,
204,939,787,032,508,463,807,143,503,506,567,427,457,990,244,535,303,613,136,
706,462,519,841,883,235,723,155,751,091,956,464,468,338,607,015,869,930,300,
734,133,504,400,183,575,223,566,577,173,070,268,114,239,826,275,991,979,824,
261,143,020,905,232,185,391,011,540,987,864,390,538,218,736,572,391,157,583,
446,441,485,374,412,267,470,215,668,646,454,050,483,707,320,441,218,483,457,
883,569,484,632,708,023,055,266,107,388,649,879,872,452,645,665,309,107,583,
221,769,497,368,824,876,049,561,079,472,280,848,066,174,041,746,838,701,556,
308,501,948,573,105,699,553,462,516,080,338,779,169,972,718,526,333,240,407,
387,142,726,620,022,980,780,831,061,258,122,985,622,325,460,241,502,418,498,
882,467,670,403,500,619,675,666,745,518,502,141,147,664,539,509,547,940,953,
859,617,747,581,331,699,077,348,553,638,491,378,778,837,237,521,464,693,400,
336,334,122,100,023,926,253,819,662,122,089,939,300,677,825,272,971,843,871,
377,820,497,699,497,713,793,088,725,395,070,977,069,448,154,007,245,819,202,
163,889,023,236,462,256,313,747,386,814,115,967,792,102,362,338,805,696,087,
381,732,595,836,184,293,598,779,246,101,284,585,554,624,445,578,751,127,030,
337,223,844,335,818,904,580,838,838,186,005,903,481,851,072,780,168,229,313,
361,671,898,410,689,195,081,747,537,719,901,490,742,592,762,662,554,892,614,
918,338,618,134,312,160,957,818,215,063,362,402,678,480,933,509,558,077,791,
242,531,589,754,822,508,540,876,934,520,228,437,672,345,494,069,689,152,857,
355,598,386,880,369,813,136,432,110,484,458,171,922,927,020,492,029,676,755,
425,698,134,836,904,116,628,034,925,514,036,899,594,663,948,941,520,680,194,
594,367,891,613,028,007,352,739,741,744,149,191,952,941,166,374,406,491,178,
780,166,507,718,890,654,809,392,602,180,579,687,357,204,776,807,752,206,581,
299,840,363,797,593,924,337,619,694,963,602,130,338,625,150,314,341,456,657,
594,911,977,674,561,536,266,167,583,762,559,494,412,237,218,874,159,047,893,
477,759,915,727,810,683,560,264,955,130,990,959,187,797,819,741,619,371,984,
401,646,656,176,093,497,877,559,250,681,412,248,039,535,685,536,392,383,870,
164,756,325,986,127,939,453,365,822,961,065,457,679,224,393,017,421,632,847,
578,624,261,675,141,279,630,455,968,774,944,230,428,921,016,811,048,271,285,
143,986,695,919,912,701,802,691,644,687,765,857,796,146,815,368,305,815,558,
671,076,969,435,967,841,346,018,440,366,154,264,456,910,492,597,501,777,917,
590,479,555,083,335,162,778,525,322,018,831,113,825,367,575,649,777,712,971,
400,352,102,747,071,165,860,183,856,440,150,291,614,568,278,429,964,593,101,
829,493,238,244,047,875,360,847,863,311,314,830,316,324,702,561,892,203,289,
542,535,562,123,769,096,959,223,207,677,921,384,795,355,213,836,994,318,461,
557,065,115,343,664,456,817,571,631,557,731,789,378,447,778,178,929,429,909,
175,556,821,821,757,693,370,936,264,056,301,446,550,644,950,565,425,521,848,
276,968,707,031,623,223,489,852,645,029,145,434,579,879,357,959,355,686,680,
764,721,224,120,630,865,781,066,053,236,404,422,251,482,784,663,891,813,607,
259,007,884,892,495,919,355,251,386,140,376,202,383,724,381,412,048,518,328,
705,740,613,247,444,557,845,466,219,400,705,283,169,685,245,878,749,127,552,
997,484,875,724,510,566,575,761,399,267,931,519,546,185,474,920,657,845,445,
143,964,105,989,572,419,166,176,353,119,956,139,233,546,113,743,408,474,378,
230,652,224,204,198,934,757,102,567,043,025,223,683,043,242,347,498,995,359,
892,665,845,974,868,235,320,443,184,475,888,757,216,503,006,801,766,796,813,
695,029,396,799,238,284,835,825,543,973,211,424,561,347,800,471,102,907,998,
613,598,686,524,427,960,559,093,832,577,156,290,285,535,720,055,235,025,601,
629,169,289,590,784,245,365,609,016,167,655,237,104,306,180,859,000,997,863,
903,079,806,658,303,898,998,552,826,981,021,774,803,977,787,289,226,471,792,
016,443,123,020,153,544,506,392,885,711,637,786,863,281,186,095,974,149,172,
015,958,600,779,032,076,501,442,378,430,436,662,920,897,243,201,630,123,077,
074,710,411,315,221,028,119,925,916,983,888,218,693,204,381,701,156,226,466,
907,619,917,638,339,098,462,003,403,086,260,270,016,619,025,095,973,238,269,
913,809,264,081,386,024,553,869,202,931,117,510,100,580,561,896,829,355,632,
548,657,546,320,433,966,047,998,840,441,891,866,228,819,830,143,088,032,259,
070,153,411,778,697,774,022,169,699,029,751,948,393,381,562,186,932,402,966,
002,232,763,905,181,026,050,079,063,543,332,632,303,927,539,935,010,265,475,
097,958,606,060,188,232,318,381,403,131,790,042,879,225,043,697,174,775,403,
559,400,483,556,114,238,508,650,830,502,449,219,452,205,248,718,979,852,937,
301,311,546,438,485,021,442,876,885,183,563,214,083,730,377,179,331,646,257,
246,889,707,724,970,518,837,743,426,962,042,699,516,545,087,036,718,098,059,
304,569,898,473,010,977,339,094,075,713,359,890,033,018,934,636,552,411,063,
240,099,464,861,351,551,199,266,162,110,788,082,947,587,354,741,915,576,342,
119,388,098,469,013,125,207,692,599,052,038,840,155,103,967,415,619,116,824,
875,712,579,326,443,603,021,465,883,569,006,805,906,971,749,657,309,652,359,
994,672,856,598,918,737,383,944,286,269,170,903,901,670,866,459,834,871,290,
957,663,609,631,093,978,087,887,804,446,122,867,410,538,842,318,144,212,059,
439,384,366,972,934,660,460,452,064,222,047,142,360,195,383,797,834,277,671,
988,400,709,754,230,132,529,242,582,035,949,875,371,004,920,204,684,938,724,
797,419,902,870,795,023,860,546,549,276,527,476,943,663,658,624,611,698,340,
924,675,297,955,128,288,138,846,675,811,014,466,642,255,023,543,209,292,428,
792,239,359,124,323,095,098,318,739,800,906,434,471,263,047,567,492,209,879,
599,049,498,635,977,671,800,547,029,466,570,539,254,145,470,307,992,094,147,
704,836,538,608,283,845,165,168,720,514,260,328,749,801,584,392,906,050,737,
449,235,490,490,060,859,369,542,599,102,649,033,521,346,992,038,091,656,769,
663,275,995,088,770,791,883,228,961,161,669,960,699,282,616,122,603,785,606,
075,596,188,567,950,283,571,829,200,501,178,692,013,101,834,585,903,019,055,
784,487,582,183,428,108,236,797,283,770,299,048,980,101,067,995,742,351,345,
474,735,948,081,929,984,484,774,366,301,946,870,645,335,984,114,105,069,081,
562,829,041,086,451,619,557,809,871,023,712,006,605,966,427,163,236,954,565,
751,979,361,706,261,152,997,210,354,802,868,492,973,371,286,955,307,075,894,
115,178,013,966,179,886,209,850,181,618,571,627,587,336,100,890,370,918,786,
122,850,608,798,621,890,396,468,169,613,287,495,266,171,009,350,745,464,551,
484,640,090,119,974,958,995,518,376,676,057,141,210,828,834,785,083,880,331,
630,358,140,931,640,625,848,621,840,537,600,871,741,385,445,446,451,648,597,
067,408,619,108,003,558,764,809,685,379,563,743,051,420,692,441,341,515,202,
087,477,939,103,582,273,239,778,466,434,014,927,910,546,837,242,908,322,149,
848,029,278,029,769,670,840,856,890,083,857,292,695,175,102,665,512,591,125,
802,666,247,909,554,276,471,603,741,156,669,115,393,351,976,135,890,613,766,
407,741,171,640,442,900,058,468,051,247,880,912,182,389,735,085,886,907,438,
491,018,528,424,439,657,534,856,707,974,673,307,448,260,785,103,325,064,969,
123,079,654,705,390,672,637,935,498,621,351,137,181,469,954,098,447,185,112,
925,884,024,270,979,200,302,365,692,392,131,392,649,371,728,765,830,926,637,
406,411,042,350,020,089,286,686,349,891,061,111,843,925,221,165,417,233,902,
969,703,514,817,786,176,158,927,591,475,741,579,085,349,349,390,992,040,306,
457,554,302,152,015,866,423,822,302,982,666,780,756,495,780,260,867,296,061,
799,084,812,440,860,817,598,423,868,766,158,233,684,738,744,099,602,360,776,
154,954,417,177,971,831,901,037,795,357,504,729,005,080,810,508,101,937,919,
433,189,683,216,269,520,274,320,915,309,839,310,137,016,023,924,824,975,029,
662,984,999,475,979,245,095,874,278,125,677,779,680,854,829,159,740,128,665,
795,206,397,867,184,067,064,640,662,123,406,375,414,145,290,282,546,173,879,
286,712,491,189,612,253,653,906,156,831,394,392,116,400,208,094,530,730,459,
794,677,652,671,771,314,929,618,250,461,765,233,647,870,686,972,352,299,059,
012,875,831,570,067,346,020,845,754,666,039,771,757,444,411,597,720,061,426,
610,504,712,481,508,428,120,572,375,766,588,522,844,792,184,001,212,639,584,
520,890,395,569,704,846,265,770,129,414,159,316,830,068,945,629,166,217,106,
634,400,480,094,695,898,231,251,750,397,995,787,187,010,023,958,315,511,606,
100,694,068,134,130,607,433,704,976,924,466,635,735,599,975,585,462,020,422,
557,052,246,264,005,347,785,056,188,217,466,907,358,033,344,756,530,084,449,
469,617,584,157,694,630,304,158,492,875,769,674,595,657,997,138,465,580,233,
004,985,138,042,484,758,424,889,849,567,810,600,180,839,930,416,550,623,406,
829,634,573,707,708,444,825,952,274,824,488,469,958,970,910,182,023,964,525,
501,895,813,299,266,404,488,816,094,796,322,609,519,618,267,136,881,392,935,
861,492,267,132,598,144,986,637,301,123,060,105,365,231,718,776,931,910,141,
382,096,363,843,093,972,042,627,965,922,293,433,031,562,948,857,978,531,945,
857,513,884,160,912,345,701,829,229,350,353,427,312,984,735,194,798,128,808,
731,461,872,100,032,285,081,006,307,164,036,837,354,531,517,605,735,818,047,
506,297,336,865,341,287,489,064,126,286,163,791,033,386,811,934,934,973,333,
954,834,818,164,549,433,104,413,358,121,242,669,523,474,489,038,753,028,643,
905,290,239,251,769,263,239,628,078,776,411,154,496,773,161,900,452,181,731,
854,872,288,490,799,144,141,045,338,196,415,841,083,639,577,310,430,271,512,
483,907,946,328,682,305,735,180,020,417,627,627,046,552,275,190,065,206,119,
927,598,191,481,575,215,909,060,230,017,938,314,882,592,941,324,443,336,052,
687,791,341,583,206,747,599,099,282,265,213,443,055,189,132,060,817,481,736,
136,497,977,522,441,248,144,016,986,833,743,712,479,084,342,915,482,791,137,
120,267,536,582,489,801,222,883,356,361,307,833,311,225,428,443,351,048,088,
866,525,434,983,448,674,637,288,816,318,447,458,805,863,354,636,021,276,767,
275,164,958,839,176,173,215,489,479,413,416,564,969,526,012,294,413,320,374,
102,927,164,836,436,515,145,804,860,086,677,083,470,188,105,691,670,710,268,
466,403,602,016,331,415,527,006,545,067,097,752,160,877,687,947,339,562,462,
313,080,584,562,922,567,874,833,732,689,759,368,340,965,618,146,056,736,388,
434,256,613,049,966,432,776,338,355,098,161,188,898,368,385,730,904,919,962,
331,201,209,300,442,643,912,015,620,911,761,357,381,779,774,233,562,312,219,
652,739,191,781,803,871,691,914,982,723,088,553,052,991,791,957,828,316,124,
674,029,649,894,033,884,345,594,249,671,677,052,383,888,230,823,813,553,211,
281,073,795,440,626,013,840,774,041,716,364,339,570,884,674,740,787,998,564,
476,006,274,052,159,080,439,355,379,455,897,907,581,151,715,347,871,545,249,
443,116,225,511,003,075,947,737,709,575,438,465,627,467,239,514,352,427,385,
715,118,010,880,580,049,413,245,903,207,498,640,508,381,872,173,613,025,127,
944,478,989,636,564,246,029,217,858,317,154,643,568,432,790,281,129,273,411,
619,022,487,474,082,773,072,164,544,485,447,620,081,045,826,747,960,993,617,
444,260,092,747,229,856,101,902,996,734,818,173,925,699,588,222,461,565,844,
061,382,527,349,803,209,584,563,068,510,292,963,157,824,906,307,655,711,922,
833,263,902,488,417,940,857,614,250,268,616,902,033,432,438,645,988,700,594,
920,627,099,548,180,877,936,757,952,140,440,372,924,702,045,995,115,948,593,
262,592,793,276,153,306,772,210,241,432,192,353,450,193,799,463,078,927,884,
914,018,536,613,153,827,901,098,531,233,477,413,973,916,028,305,375,126,192,
358,367,320,160,162,484,369,971,712,350,165,077,449,811,515,085,181,527,078,
489,619,979,199,208,302,808,298,077,508,766,186,650,978,009,292,892,516,325,
755,799,129,150,882,308,192,327,094,637,250,267,564,647,506,832,446,936,637,
804,896,080,827,344,837,569,501,423,797,401,582,524,785,609,511,149,343,865,
440,831,354,301,700,225,162,086,798,977,637,761,714,364,807,528,016,007,322,
048,514,505,808,920,766,318,189,274,035,254,447,686,264,084,703,018,546,906,
557,057,994,994,559,087,701,543,124,247,432,863,208,485,802,267,410,819,476,
186,796,479,658,649,536,620,578,495,805,220,721,882,595,045,511,495,527,068,
469,312,317,409,154,325,981,020,338,660,309,834,494,798,865,145,622,404,665,
921,660,249,117,419,076,880,655,396,341,990,078,432,641,852,987,654,255,311,
002,747,667,428,551,941,487,737,328,819,990,821,147,308,337,668,696,833,524,
999,620,424,297,709,471,252,144,769,962,992,196,710,795,661,594,463,280,723,
208,300,341,770,401,945,849,616,836,584,903,989,094,625,911,370,271,103,635,
866,673,477,836,553,895,692,719,351,608,533,483,669,972,696,106,796,958,355,
216,831,225,902,312,090,641,637,800,221,679,974,254,865,849,082,210,449,929,
455,913,660,282,757,862,708,787,517,224,946,039,167,200,445,411,605,981,833,
571,948,476,406,657,507,327,495,240,411,769,025,761,433,062,265,581,712,108,
558,405,439,119,640,041,122,595,085,506,537,295,339,359,554,679,077,956,663,
880,546,603,843,134,821,081,736,727,706,205,422,497,925,588,241,704,050,287,
679,944,618,495,564,085,352,309,240,403,217,852,401,982,416,532,765,153,546,
749,952,454,887,039,565,139,629,219,737,873,782,334,129,172,965,965,561,396,
394,251,484,168,659,540,805,261,712,003,785,467,524,014,590,639,228,998,208,
816,162,560,855,201,778,330,889,631,434,300,269,292,058,533,247,260,827,737,
834,552,928,716,834,439,930,310,522,488,393,450,788,418,540,866,165,126,469,
864,878,700,963,875,350,331,699,256,866,329,760,838,961,231,079,858,796,133,
196,105,472,999,103,900,125,672,500,144,016,292,101,462,046,400,414,494,001,
613,175,932,887,692,167,310,763,604,916,246,731,124,437,035,680,059,582,544,
425,190,921,169,469,318,898,301,237,861,256,786,850,997,830,669,228,845,273,
594,103,833,386,188,065,609,426,793,532,288,022,011,554,124,229,611,709,659,
230,331,499,258,784,688,269,499,977,262,317,497,877,170,860,889,842,863,813,
359,730,288,077,011,915,213,450,451,181,012,843,307,299,974,215,421,262,168,
694,281,697,105,309,077,765,677,976,178,286,745,581,798,182,796,003,222,557,
868,552,703,384,845,880,795,769,255,312,410,461,598,764,900,680,769,866,137,
711,405,642,702,380,921,550,121,774,236,408,167,533,986,219,423,897,995,219,
832,454,286,632,651,131,726,288,380,499,496,307,716,369,620,764,559,489,474,
003,416,857,095,280,107,575,476,668,969,747,455,906,147,323,041,317,893,439,
732,954,199,745,616,688,262,078,476,512,470,855,526,332,057,514,951,520,215,
769,973,630,022,701,897,795,695,054,171,022,002,720,377,458,906,973,389,581,
842,096,331,803,552,467,779,566,781,121,313,457,600,711,819,266,901,523,458,
902,301,396,991,266,112,640,781,810,346,108,324,634,421,192,698,300,005,378,
501,292,595,784,646,820,013,540,050,466,923,089,496,782,299,109,248,981,787,
598,484,866,072,257,771,493,202,963,554,661,312,441,521,713,464,034,828,233,
588,834,179,158,249,483,289,301,116,665,866,382,557,033,545,179,313,334,999,
172,613,497,166,875,164,538,444,983,323,255,650,178,259,545,448,539,036,048,
828,761,549,556,288,410,929,422,250,654,768,768,452,775,971,368,861,706,759,
192,986,161,893,531,745,413,201,176,041,316,094,367,434,011,482,842,383,991,
446,928,447,175,592,393,371,787,737,908,302,526,086,071,933,224,374,501,867,
757,267,050,288,286,647,286,249,472,843,829,627,264,184,920,435,897,261,746,
907,840,288,566,159,607,221,501,995,395,796,626,594,515,002,230,133,224,255,
180,070,719,223,370,516,389,690,889,588,330,845,482,464,144,798,624,083,873,
890,062,057,441,653,549,385,211,668,003,570,173,681,617,359,595,482,259,265,
052,385,456,876,005,016,965,897,627,412,957,849,094,564,588,473,174,509,843,
764,596,905,505,880,203,093,883,360,044,252,847,335,583,068,336,871,308,505,
092,816,604,942,350,498,851,592,264,908,460,711,347,419,437,528,834,687,124,
532,297,888,733,819,882,953,977,519,728,187,896,659,579,320,032,505,975,251,
040,258,098,025,654,029,554,680,047,922,625,238,639,223,236,960,535,593,625,
211,614,149,723,102,899,212,555,484,844,616,676,387,646,489,399,376,796,983,
908,425,735,678,344,339,630,957,419,991,710,272,936,043,900,782,299,524,641,
153,503,929,460,363,219,398,933,121,265,684,337,230,186,551,760,309,616,744,
348,606,647,701,390,169,499,583,262,996,196,351,753,526,676,714,180,661,881,
835,199,892,636,147,588,399,723,129,018,385,484,936,650,807,639,152,874,957,
098,191,687,005,331,620,949,190,173,841,865,173,394,643,955,545,091,638,358,
396,835,295,755,147,785,112,908,923,116,439,682,878,403,777,519,768,988,268,
308,733,688,206,982,361,747,777,508,558,482,272,841,681,629,413,509,379,021,
636,000,433,972,639,022,596,325,725,821,973,343,481,042,780,612,452,325,053,
305,829,520,062,208,346,101,487,857,877,130,185,877,090,533,747,172,229,990,
329,306,456,353,728,288,492,209,889,007,631,778,761,823,449,035,056,953,481,
679,825,057,445,451,775,220,267,256,236,829,699,793,206,950,196,828,455,507,
088,948,301,615,431,130,520,921,357,046,840,531,364,156,465,218,670,819,515,
717,975,887,941,302,811,582,411,572,145,629,615,431,249,491,073,305,613,294,
358,415,113,588,969,641,975,516,483,792,202,292,876,596,226,010,720,964,637,
426,824,982,001,890,313,338,593,473,502,634,401,237,180,668,006,150,521,944,
505,160,882,150,145,816,363,186,077,534,999,798,251,955,980,353,713,623,881,
312,103,330,553,976,824,089,374,255,312,000,008,693,083,158,655,451,227,467,
003,187,699,541,712,662,219,413,183,347,259,931,351,902,662,301,113,154,227,
496,875,290,308,652,647,397,882,735,179,400,064,259,941,300,094,676,148,646,
085,773,256,857,284,779,452,635,070,415,306,195,815,480,387,697,242,759,627,
675,190,907,527,402,491,663,517,274,203,151,082,441,118,311,077,761,977,424,
241,838,533,315,408,106,707,054,320,379,668,554,991,583,147,291,615,007,090,
720,551,786,486,301,775,268,153,605,003,400,540,759,080,261,113,410,581,600,
602,315,950,860,398,384,345,835,354,282,760,103,127,374,177,426,942,397,570,
818,703,987,120,505,146,977,397,748,125,398,126,424,725,875,671,995,904,770,
188,816,502,054,697,779,255,131,756,127,934,588,752,688,910,809,969,445,948,
923,652,670,557,421,537,338,013,950,258,191,662,597,804,178,025,094,935,265,
516,239,184,083,498,151,887,520,886,368,753,110,016,246,340,221,305,349,403,
910,898,255,691,489,394,921,010,787,062,509,119,578,141,526,081,900,595,689,
468,750,824,683,498,675,911,743,076,041,136,403,825,404,526,242,432,697,345,
683,288,639,670,778,541,549,622,579,834,841,226,789,718,813,824,676,810,111,
800,104,241,941,159,396,103,492,824,241,957,793,069,645,536,688,464,170,107,
169,755,230,116,525,737,460,727,468,281,797,635,847,053,474,030,516,088,862,
901,196,692,168,273,448,032,827,587,755,175,380,729,028,174,109,333,219,318,
090,187,909,297,470,528,361,796,870,209,312,570,292,927,267,889,906,620,592,
382,249,811,047,460,375,806,919,088,239,238,787,814,869,685,774,733,501,448,
649,291,406,106,507,209,776,797,595,454,609,860,426,876,923,148,997,586,470,
500,099,421,176,577,153,065,417,408,471,136,694,758,781,301,492,931,867,653,
586,405,774,490,089,653,897,784,782,109,513,199,600,779,050,937,791,471,942,
870,662,410,529,112,675,208,751,944,440,303,159,618,918,959,701,105,757,634,
938,124,978,760,911,905,505,610,482,145,066,148,663,279,443,058,400,554,349,
922,128,965,744,768,432,472,047,692,426,379,524,675,451,791,561,564,124,871,
344,272,165,003,182,253,750,827,045,976,575,454,008,324,875,548,364,770,851,
403,458,795,967,932,155,330,390,288,302,795,253,477,374,619,063,002,980,638,
301,291,470,601,876,707,987,465,491,209,668,852,180,044,932,706,593,970,933,
019,101,581,695,941,185,618,157,646,706,547,428,236,606,029,767,269,846,915,
497,760,110,450,820,941,540,697,409,569,645,670,680,528,909,235,574,379,750,
367,051,187,827,061,106,198,090,409,806,537,818,703,259,234,023,664,822,190,
218,012,762,886,022,464,107,249,213,975,726,857,338,771,953,757,915,958,273,
080,238,936,524,703,697,687,764,163,725,067,329,914,630,513,262,744,504,046,
982,255,810,912,564,000,654,532,264,814,222,838,128,367,092,694,941,239,177,
318,145,049,725,471,479,380,090,493,503,575,742,967,366,235,278,444,555,261,
113,286,818,324,089,033,724,668,395,134,999,481,038,180,723,769,447,070,301,
980,555,288,883,805,870,183,451,988,339,712,893,004,918,720,582,175,723,490,
463,118,250,234,533,387,275,344,742,411,224,874,303,269,418,375,195,130,585,
302,401,353,670,660,287,125,991,437,021,964,383,954,498,720,298,533,434,636,
897,496,364,039,186,521,575,146,901,048,290,416,356,950,648,652,258,454,995,
552,565,913,048,899,446,075,036,871,304,260,809,927,686,827,524,267,090,241,
436,791,781,308,435,746,614,910,764,331,741,528,068,914,392,904,052,162,642,
956,664,362,611,061,013,209,082,959,680,942,391,122,337,280,294,236,972,670,
682,661,754,152,060,109,812,827,877,007,728,902,922,167,589,091,740,112,953,
799,505,920,105,114,278,972,685,242,704,751,061,305,879,433,807,218,517,045,
502,830,444,827,030,127,265,340,786,379,789,491,062,331,037,054,419,567,841,
417,706,362,175,573,947,088,297,018,079,874,688,039,012,969,897,944,646,819,
290,815,936,056,539,916,038,217,831,913,417,369,310,831,025,101,866,547,877,
234,805,184,111,858,355,321,354,474,635,062,199,478,880,898,545,122,982,340,
563,040,322,472,237,243,530,453,624,315,495,366,089,481,766,332,016,734,194,
499,291,755,546,472,619,899,615,472,571,668,055,230,730,755,003,001,095,812,
186,547,842,467,225,680,506,343,445,928,435,373,327,359,114,590,506,134,074,
683,851,809,679,659,469,507,144,868,726,628,660,121,406,661,240,530,960,459,
327,068,794,775,366,543,253,821,604,912,644,947,472,704,895,841,487,939,454,
412,754,034,767,981,958,976,654,658,895,669,473,671,443,692,811,742,997,567,
985,580,494,618,977,163,130,271,863,017,496,670,630,369,229,674,977,153,710,
678,279,601,926,996,189,344,340,791,179,466,493,787,744,442,689,510,209,310,
216,626,938,911,414,738,055,293,170,452,899,910,470,324,770,007,608,959,330,
400,499,432,760,171,191,272,373,348,823,812,498,445,001,513,506,950,569,645,
363,436,788,780,816,316,504,984,221,883,716,543,502,527,542,962,296,701,289,
595,258,979,564,468,577,002,858,971,350,913,449,523,769,573,444,652,210,292,
222,681,673,174,409,682,429,730,446,424,832,818,438,026,084,813,689,289,471,
028,257,486,267,701,379,233,575,460,713,383,235,068,576,100,341,212,933,527,
152,856,628,491,657,459,503,711,030,455,490,988,667,418,118,635,825,151,588,
402,173,155,691,573,462,058,574,407,054,103,702,134,124,965,718,709,834,829,
153,530,218,384,002,493,490,188,231,034,245,324,491,119,278,493,761,884,954,
586,565,782,726,584,953,534,027,612,953,373,059,373,741,147,102,328,218,183,
070,005,574,689,922,205,174,985,502,342,463,259,511,822,627,057,195,050,498,
902,572,770,747,261,531,733,325,824,554,865,347,589,285,921,622,730,695,665,
754,965,598,008,787,640,261,608,939,795,514,447,640,579,309,129,239,943,637,
952,430,741,265,798,448,565,797,798,538,848,850,765,532,599,528,901,329,929,
256,590,176,892,623,253,704,320,118,708,201,313,680,221,054,373,004,025,816,
253,462,173,005,074,131,115,719,591,267,435,832,819,461,466,783,896,750,713,
630,122,120,239,466,204,971,108,928,274,757,004,782,431,046,182,178,978,182,
528,370,528,407,163,672,842,534,254,356,752,695,680,602,412,522,421,944,129,
489,397,660,640,444,092,169,347,053,554,918,357,557,779,773,210,710,151,374,
405,850,973,589,593,002,509,993,479,976,125,678,709,135,265,928,698,323,860,
936,457,377,579,960,735,157,646,767,571,601,383,124,699,839,858,408,228,027,
309,475,126,480,822,341,007,318,483,422,280,042,902,991,599,587,226,131,804,
684,335,236,871,188,130,904,442,901,476,793,176,423,599,499,403,131,117,334,
926,335,158,422,843,261,926,865,877,603,838,252,448,317,820,611,313,706,690,
125,910,433,661,633,846,803,690,025,992,186,124,856,827,004,930,174,135,051,
038,264,536,709,846,216,997,404,361,607,147,124,631,682,783,765,645,888,790,
163,638,668,961,639,018,862,872,646,814,637,564,202,596,598,892,687,414,050,
964,730,897,897,380,376,814,267,496,188,134,878,946,613,719,802,763,471,362,
466,410,950,829,465,758,018,966,486,017,624,961,234,273,130,871,200,478,160,
981,761,934,452,700,848,994,725,449,956,948,936,101,762,969,722,862,331,978,
726,544,779,615,562,786,583,948,309,401,423,085,410,846,624,669,447,922,547,
602,232,510,516,375,855,430,603,115,121,765,835,974,739,082,049,979,202,127,
964,470,347,463,520,012,867,495,735,407,571,789,073,350,334,747,574,921,192,
196,938,562,797,696,131,358,658,733,551,172,293,312,737,683,622,122,986,708,
828,968,674,797,377,136,430,960,165,451,507,518,231,132,871,346,206,606,760,
641,613,107,381,987,496,857,346,667,681,187,098,114,520,413,315,405,612,174,
364,525,599,819,777,190,625,051,484,035,846,746,394,346,520,114,361,625,366,
225,154,596,608,152,395,526,869,638,573,347,777,085,432,790,050,768,186,150,
251,720,461,491,210,078,144,699,561,612,317,235,333,942,494,386,903,003,051,
999,546,295,076,349,464,935,605,385,778,879,547,928,781,643,034,021,708,310,
240,612,680,832,318,341,347,196,395,640,443,683,713,972,774,602,003,345,487,
399,444,808,539,743,460,453,282,482,831,514,796,701,429,214,891,501,775,041,
425,285,696,814,705,249,392,845,204,686,498,153,184,771,154,047,481,553,664,
213,100,693,198,153,951,128,342,609,670,238,235,239,870,597,229,538,573,135,
920,873,361,521,908,922,763,355,876,649,553,627,750,091,231,027,572,767,680,
488,189,546,871,169,470,355,179,151,955,003,434,258,338,282,698,524,541,913,
130,465,017,694,325,487,188,967,029,169,569,364,608,042,320,844,222,646,908,
498,694,186,241,046,791,006,938,726,935,295,326,656,005,078,947,022,927,853,
426,073,332,286,729,603,030,766,091,929,876,853,991,579,587,116,856,039,022,
625,340,585,677,117,169,251,288,161,012,661,409,819,271,203,144,785,590,579,
404,714,206,244,682,740,317,249,030,787,619,022,513,724,190,537,152,346,922,
590,936,934,894,329,842,379,565,199,033,487,871,355,737,360,781,859,374,842,
580,583,347,733,014,973,536,040,264,610,572,095,669,830,626,564,329,490,603,
502,660,706,725,486,503,877,991,349,418,149,332,278,561,972,733,528,464,749,
995,898,531,099,652,705,926,632,460,058,025,414,269,335,335,200,459,684,821,
325,118,821,194,609,228,980,755,968,207,069,170,570,414,305,337,646,068,624,
933,494,056,389,991,173,423,892,602,761,903,194,597,834,272,710,595,472,050,
007,234,107,385,294,844,547,022,850,177,056,749,985,339,260,267,480,816,713,
864,338,840,826,219,524,448,888,883,763,707,772,490,286,156,230,902,902,005,
167,590,691,522,444,418,750,704,076,629,595,043,938,831,606,162,797,431,751,
888,913,652,803,905,568,728,645,861,828,429,047,141,509,886,511,330,206,130,
959,776,116,432,598,156,701,282,135,856,472,950,944,186,538,318,608,232,372,
563,817,127,260,016,089,613,612,556,688,970,359,003,660,490,825,241,186,847,
266,329,605,773,905,282,806,803,153,347,119,212,344,929,644,125,560,224,945,
347,860,469,500,021,471,196,557,214,045,694,518,939,871,318,483,878,798,936,
386,089,004,156,180,535,038,901,628,283,684,058,820,121,085,836,236,123,120,
903,692,324,742,934,979,304,933,873,278,686,946,024,569,432,750,946,323,434,
158,159,270,424,178,199,152,690,255,911,283,549,488,601,932,466,636,175,029,
534,360,699,132,978,270,523,692,139,503,950,881,555,021,875,858,422,031,739,
269,916,504,679,847,334,180,987,536,965,909,453,238,668,715,427,045,983,212,
865,210,493,198,943,368,063,003,291,621,188,245,180,927,645,895,380,589,620,
884,498,300,381,776,810,122,339,407,624,658,111,965,448,843,593,939,461,747,
207,883,014,975,736,743,649,765,142,955,170,603,788,215,321,548,715,789,025,
579,719,296,002,554,147,399,852,043,831,455,979,726,700,359,232,276,181,886,
528,103,592,434,122,475,556,681,622,217,058,289,510,499,680,285,153,932,421,
446,117,714,701,412,192,612,259,825,680,087,356,114,207,237,860,267,369,350,
239,584,946,684,310,318,338,175,914,234,964,567,097,578,295,725,295,053,713,
551,414,320,703,155,778,520,522,200,794,879,399,830,355,713,385,730,124,003,
440,863,010,731,104,045,845,844,530,651,485,360,782,045,258,874,516,413,311,
399,185,770,922,182,418,949,511,351,475,904,342,540,756,098,650,032,462,771,
240,444,062,298,612,695,970,943,215,879,400,603,669,356,917,854,473,374,447,
204,560,511,299,297,209,196,869,866,642,683,228,925,713,754,629,345,317,479,
600,901,171,825,643,336,181,201,423,765,016,386,726,390,809,372,299,331,998,
016,396,048,272,009,245,789,557,011,520,096,106,502,630,466,565,225,237,638,
316,062,725,581,883,277,604,019,051,646,087,985,169,945,417,353,770,018,383,
420,055,438,524,276,903,019,382,118,795,816,394,968,292,163,460,264,887,973,
939,529,620,043,669,659,067,942,149,402,111,637,599,957,798,382,624,910,132,
953,038,915,762,458,176,808,700,684,457,772,215,337,776,286,950,519,891,514,
769,516,962,645,194,051,866,139,509,364,608,756,545,337,392,448,173,307,011,
747,739,287,918,785,090,827,866,468,989,667,776,034,470,812,342,230,814,733,
136,892,150,891,753,619,906,188,331,387,657,594,800,790,643,783,640,347,782,
772,960,459,017,016,769,027,680,838,766,768,754,523,880,195,962,818,686,157,
854,813,242,381,216,480,343,821,017,941,294,698,612,562,195,448,802,269,124,
882,074,868,523,925,833,978,399,820,401,409,848,806,261,278,766,416,551,953,
269,445,201,879,495,253,489,122,378,224,553,126,673,102,773,036,723,475,462,
439,386,489,959,259,167,561,870,317,911,227,787,190,327,444,006,844,746,031,
954,746,239,961,153,285,658,306,670,397,505,731,289,803,105,195,947,632,777,
710,037,505,868,125,778,239,227,590,473,296,604,341,048,583,729,207,924,201,
553,634,906,772,238,890,376,963,908,356,001,822,173,673,480,682,957,262,137,
284,098,913,102,471,623,436,465,778,292,093,764,262,950,202,275,467,713,536,
438,794,891,664,478,709,382,981,561,481,101,951,433,773,331,084,172,347,201,
340,056,951,874,776,388,977,573,058,229,019,170,210,899,161,606,716,642,325,
236,959,281,237,178,320,200,811,174,107,484,200,050,556,251,077,788,885,143,
530,819,365,007,656,251,359,275,033,435,856,957,275,728,345,957,623,816,051,
033,921,468,888,088,770,496,798,818,479,399,500,075,324,052,063,479,589,547,
633,285,768,639,542,602,683,280,420,696,100,162,839,641,346,802,583,198,156,
057,784,191,029,674,050,710,222,573,820,908,372,656,601,974,771,681,387,552,
864,966,438,450,381,086,058,379,549,233,644,969,591,781,031,380,919,970,613,
298,268,036,118,267,209,761,819,308,705,963,325,926,781,586,468,038,931,902,
464,471,134,786,498,530,220,349,198,197,733,055,703,953,049,532,183,826,158,
536,064,024,868,290,686,359,359,651,713,525,894,094,350,170,881,156,207,569,
217,044,021,246,383,659,860,591,068,717,797,273,986,570,414,573,413,656,258,
376,379,922,493,428,983,159,477,307,413,592,901,559,531,963,982,385,878,371,
561,655,802,029,235,896,367,662,746,037,640,384,310,164,908,288,908,383,188,
540,566,763,822,315,958,561,309,201,684,118,841,071,137,872,208,797,071,767,
933,715,401,091,942,015,135,529,415,149,116,748,466,608,095,330,248,587,511,
868,427,440,261,427,153,128,634,711,548,085,892,947,708,686,288,049,182,090,
246,934,733,716,374,427,684,528,353,088,143,127,650,437,751,847,473,193,418,
346,985,558,393,783,659,734,007,852,446,151,934,729,163,056,894,222,862,057,
144,372,208,309,721,450,132,501,310,042,213,516,142,311,954,517,926,109,606,
652,932,773,587,174,066,270,926,922,072,485,842,842,142,602,610,881,015,751,
376,939,603,239,858,012,321,258,890,332,819,632,955,617,037,910,304,337,940,
974,587,419,071,299,425,225,315,106,933,178,783,098,954,683,941,232,183,912,
757,696,407,493,385,530,999,689,627,502,016,192,959,574,623,585,670,493,431,
201,856,885,630,960,045,334,129,038,682,044,105,747,811,094,742,216,247,846,
879,475,492,307,223,850,062,094,967,005,546,386,046,766,727,140,067,881,895,
580,756,601,408,150,883,910,568,036,736,582,589,691,416,871,135,814,640,419,
709,511,927,193,499,967,507,934,977,278,450,489,070,469,908,522,834,019,475,
675,341,468,111,711,150,114,337,487,828,670,907,889,370,719,095,133,488,669,
771,075,677,894,310,117,052,582,952,117,020,575,398,773,287,365,478,899,239,
870,489,849,175,127,446,263,123,245,493,118,344,194,473,675,239,699,327,678,
946,791,322,266,395,515,976,939,024,628,700,222,772,042,988,852,122,023,748,
822,085,643,437,192,107,377,795,898,426,897,015,039,437,960,864,250,880,249,
255,184,885,040,837,401,599,118,380,035,497,391,420,836,909,124,815,969,174,
394,599,535,494,069,181,745,638,023,541,446,992,941,931,740,273,143,710,624,
723,385,278,189,070,010,579,186,212,698,762,170,966,272,969,760,230,685,713,
840,588,282,266,892,840,607,854,010,195,415,966,552,773,970,269,711,635,267,
093,356,691,298,247,283,322,086,051,361,678,663,152,466,129,451,384,256,002,
401,031,734,383,590,181,813,207,609,881,365,992,902,505,412,015,946,244,157,
766,085,532,116,058,431,053,123,478,226,744,262,700,047,047,000,925,683,704,
114,848,399,258,706,400,970,588,031,464,560,903,863,126,851,168,598,791,677,
372,303,671,146,009,567,688,513,014,482,816,237,195,864,843,529,747,711,285,
293,865,955,494,963,388,223,379,224,478,633,891,193,173,934,623,018,332,031,
723,164,579,868,659,006,849,429,145,038,525,176,081,252,533,862,243,176,240,
102,749,095,149,250,816,932,110,423,750,816,942,573,513,607,009,674,913,072,
183,616,612,579,719,460,179,280,875,959,186,482,861,761,374,963,133,327,747,
479,576,625,956,921,718,466,222,270,355,919,062,483,830,442,799,538,472,243,
049,620,104,601,770,287,185,854,680,271,477,796,048,198,684,515,958,901,359,
749,648,304,469,791,965,312,352,754,273,031,044,012,451,546,888,988,777,069,
472,532,409,504,345,915,017,875,128,622,140,693,136,522,878,102,715,117,366,
490,307,063,306,326,017,359,737,575,803,381,495,851,166,933,188,209,985,347,
346,400,367,664,085,039,787,242,526,290,456,396,495,098,220,318,321,042,107,
444,234,517,477,470,942,395,469,419,673,568,844,371,552,525,826,759,815,733,
828,515,888,048,527,663,318,412,831,116,485,850,874,334,324,154,178,533,142,
654,105,159,522,842,638,817,494,474,720,976,323,641,901,672,540,755,076,286,
514,231,036,771,975,113,711,996,406,825,377,693,969,700,295,248,070,568,588,
610,764,010,710,565,044,996,278,554,800,169,678,282,594,472,373,359,865,939,
703,615,051,217,043,256,551,898,119,385,626,007,562,115,562,878,451,225,074,
986,501,363,751,348,911,543,522,343,638,265,414,172,876,242,638,853,649,487,
513,156,460,751,612,510,364,826,378,920,334,543,353,544,446,377,129,342,895,
882,698,482,561,341,904,601,509,413,525,309,889,419,557,098,191,322,935,823,
605,657,292,892,415,083,647,531,309,229,226,033,038,358,752,788,759,972,074,
094,043,201,182,094,956,701,495,182,582,058,635,892,750,757,052,593,202,037,
976,254,928,051,596,678,040,930,425,827,258,677,670,658,778,580,966,750,504,
683,203,674,984,220,109,578,019,263,983,912,344,119,149,391,054,491,977,081,
032,356,892,552,138,072,060,440,605,238,814,942,437,620,747,798,368,177,574,
857,617,285,433,017,229,058,564,605,122,831,486,233,946,588,418,985,048,133,
413,044,464,679,183,309,762,193,477,983,685,215,389,142,763,620,756,246,484,
288,819,187,278,589,266,967,453,085,559,482,015,996,389,849,750,302,662,657,
052,873,628,901,633,328,363,982,589,152,457,981,274,551,151,103,774,294,762,
687,430,500,565,031,956,328,038,821,319,442,414,170,574,202,842,766,510,940,
128,541,865,037,746,447,420,040,256,155,949,484,069,203,179,581,239,469,625,
425,419,519,034,794,842,448,979,554,600,153,360,999,241,944,635,191,914,658,
918,700,672,380,711,336,333,985,368,073,356,037,585,452,001,015,472,000,986,
127,755,335,208,699,173,452,370,939,656,763,356,824,997,752,812,344,543,176,
793,218,391,288,508,921,065,396,643,628,752,032,739,180,801,400,314,755,356,
244,778,812,767,405,050,589,567,764,173,345,331,545,176,550,807,539,517,850,
328,464,974,553,030,986,290,457,765,624,271,954,117,323,533,220,470,689,864,
389,066,484,939,076,147,293,570,070,625,078,935,619,931,988,092,349,582,296,
974,474,565,408,420,531,950,856,538,516,472,153,809,029,356,315,856,512,004,
956,363,486,316,365,559,436,445,094,462,179,288,238,775,245,866,954,495,502,
286,900,954,559,677,384,682,869,773,184,303,243,291,073,800,579,120,898,865,
335,079,303,597,287,558,697,777,060,543,465,752,365,825,392,031,276,694,735,
658,288,778,374,933,997,857,762,155,713,337,587,533,295,729,983,712,324,457,
218,316,889,431,946,767,949,183,880,240,936,909,854,806,540,455,919,394,975,
866,445,914,721,005,533,776,576,410,330,635,008,823,631,350,003,475,712,270,
333,308,506,411,021,113,472,561,550,384,141,504,753,039,079,220,097,351,581,
379,746,984,232,315,294,621,897,753,845,334,276,913,556,187,996,227,062,358,
489,480,161,519,767,473,411,656,388,235,561,053,072,431,719,034,581,995,062,
685,610,354,442,989,529,701,141,953,045,869,444,444,303,330,495,375,232,900,
510,036,236,627,147,284,208,597,783,939,067,925,793,643,685,399,587,357,776,
496,938,801,684,520,960,695,680,390,967,664,859,578,495,981,580,623,094,923,
439,066,799,490,324,490,738,861,106,051,231,380,307,468,217,784,069,204,901,
850,357,765,305,726,446,341,192,401,748,116,596,477,834,145,432,913,641,023,
669,156,561,906,486,800,357,286,025,712,694,864,612,715,814,807,098,659,637,
561,526,704,514,316,778,764,202,058,700,419,816,561,234,126,408,562,002,116,
703,805,339,644,756,906,502,049,235,287,747,801,900,883,876,116,518,259,587,
883,034,303,356,054,294,868,856,155,671,050,550,126,057,906,098,231,947,089,
108,652,786,146,277,300,562,134,529,586,760,946,682,292,391,705,325,578,643,
680,383,460,193,150,315,333,442,736,011,958,696,049,618,347,750,480,409,783,
531,183,382,119,471,549,941,028,762,631,107,178,230,762,854,524,043,475,093,
820,157,683,498,116,541,077,728,427,728,718,059,501,244,240,718,238,634,187,
935,912,856,778,977,373,876,049,713,931,670,584,065,662,713,495,502,725,277,
113,597,317,206,622,310,536,390,462,716,522,686,054,011,212,718,377,670,497,
633,063,673,615,601,179,193,233,109,832,669,635,509,740,561,362,161,586,270,
750,570,734,464,331,566,972,505,349,931,226,471,805,426,475,096,915,450,703,
829,748,053,516,341,047,659,800,897,545,609,670,230,204,214,190,353,506,897,
930,421,501,174,489,477,495,075,662,600,194,617,780,071,618,467,852,115,257,
217,214,599,588,362,759,631,237,782,697,060,581,307,370,877,723,871,646,274,
452,761,763,298,620,220,222,274,465,855,409,718,162,798,682,946,331,412,989,
955,690,578,326,942,389,764,573,849,357,145,683,388,174,345,980,123,108,018,
792,224,705,395,781,696,551,234,601,929,094,388,311,767,366,221,551,179,387,
006,069,382,572,209,793,861,318,077,746,383,931,184,377,421,951,650,395,204,
066,916,479,724,145,941,562,975,916,909,969,781,892,640,811,056,548,796,537,
980,012,041,063,581,263,070,443,080,396,274,007,253,372,482,406,032,760,478,
483,512,127,325,990,441,361,599,499,673,595,958,791,721,788,286,538,517,845,
821,406,751,518,222,933,838,923,820,592,166,192,903,215,953,659,952,076,996,
747,989,528,691,857,175,622,956,249,948,320,354,932,808,341,549,664,876,505,
505,330,781,969,995,664,932,820,976,096,246,568,590,809,383,102,852,585,701,
753,621,441,162,388,665,506,959,483,955,184,976,767,045,772,683,862,201,791,
848,173,005,536,419,553,908,565,462,208,307,348,990,517,294,143,933,216,694,
275,558,141,025,832,162,762,900,882,247,642,162,114,935,334,676,846,566,070,
296,753,279,490,455,081,496,571,252,997,658,424,774,621,662,847,089,440,875,
171,865,810,827,197,436,905,815,534,880,688,622,120,798,456,404,545,432,675,
687,088,894,913,344,899,908,666,529,795,870,064,401,356,747,210,275,933,743,
305,457,490,355,462,092,818,549,215,664,221,469,527,796,947,425,393,844,398,
865,140,511,541,252,235,347,639,553,677,564,808,644,580,516,652,477,312,056,
472,022,571,945,877,442,476,266,479,084,653,316,638,222,208,880,536,910,672,
720,185,973,247,863,359,350,124,883,575,599,683,011,922,522,830,483,545,702,
725,604,382,143,096,523,917,163,428,910,344,345,510,173,445,823,915,524,955,
301,252,436,256,715,597,180,285,230,266,961,536,956,792,593,312,915,612,623,
361,657,953,968,652,706,935,290,346,844,064,148,062,137,986,549,264,191,092,
872,443,805,306,704,479,410,966,489,460,532,276,906,158,930,012,120,049,946,
576,984,372,699,255,935,297,534,089,645,445,484,470,326,330,721,106,166,272,
622,639,527,924,176,273,879,383,978,100,791,390,750,813,640,303,881,382,994,
325,979,780,113,362,737,598,418,510,972,208,918,025,246,157,575,531,187,042,
032,719,851,898,553,509,617,412,982,391,010,865,050,399,341,302,232,993,435,
472,517,533,683,760,150,139,900,781,000,404,392,953,355,471,853,486,001,327,
078,133,909,983,845,766,850,908,809,046,238,886,332,118,198,678,675,934,882,
537,522,341,710,164,889,241,918,958,472,409,581,636,055,829,330,793,870,769,
860,232,403,185,181,717,168,909,268,162,521,339,322,791,166,763,757,882,973,
857,943,757,576,071,468,573,549,894,169,302,250,155,947,537,013,231,139,099,
590,112,160,801,180,651,779,568,824,685,254,289,666,407,161,113,480,272,671,
245,901,054,403,792,346,783,410,996,830,722,999,204,225,638,667,022,320,192,
243,523,030,526,448,311,222,634,996,639,429,301,453,481,827,394,341,738,276,
040,554,222,294,254,052,401,107,961,385,934,581,175,650,574,899,666,856,851,
138,817,477,153,124,961,203,806,786,159,809,985,100,941,684,890,083,718,841,
140,206,062,536,084,586,759,572,244,740,000,816,244,363,843,071,574,125,784,
438,540,236,906,601,345,913,820,083,258,083,298,396,302,953,433,708,371,323,
615,574,053,990,893,150,027,227,099,760,261,290,394,417,834,161,365,143,740,
782,282,880,570,587,477,607,415,987,459,237,048,796,173,155,440,063,106,932,
144,690,241,843,448,912,080,412,905,504,695,730,745,277,377,387,056,847,320,
913,433,814,983,576,706,116,747,882,927,745,072,097,772,184,832,960,123,169,
184,797,019,946,399,968,493,373,689,711,138,764,114,220,438,736,041,980,520,
347,123,536,895,724,398,492,622,641,628,910,295,149,516,968,819,842,179,413,
345,490,700,954,988,956,208,228,685,960,071,493,356,836,487,391,601,897,612,
305,570,451,726,866,288,559,024,919,774,156,026,605,430,180,522,004,241,504,
170,605,767,357,820,151,447,611,136,957,154,644,363,921,680,967,196,143,764,
752,754,259,393,279,439,363,563,573,355,803,888,557,817,121,268,765,665,809,
168,588,589,385,167,866,431,939,615,720,535,004,731,407,614,333,498,269,482,
356,658,135,398,884,920,665,776,382,819,791,730,616,153,300,709,463,806,688,
457,733,380,755,982,244,783,898,129,850,033,389,095,307,184,706,269,412,446,
027,178,960,307,918,197,809,590,958,181,766,402,121,790,334,379,399,586,175,
273,362,243,278,168,695,899,223,280,507,704,302,268,729,511,113,427,636,696,
906,216,615,494,342,947,714,503,429,632,439,057,701,596,401,790,636,791,196,
000,641,043,961,610,497,984,436,017,493,880,094,625,645,610,258,809,562,901,
013,053,365,119,372,931,246,691,675,365,160,320,279,884,557,871,268,350,310,
246,946,845,771,530,215,052,502,119,664,741,285,645,778,657,968,463,375,003,
407,313,465,128,971,990,128,682,008,037,573,820,158,302,980,574,103,044,831,
802,859,005,804,063,624,067,051,715,289,540,416,248,139,448,525,889,954,610,
685,702,736,134,680,585,793,390,062,844,634,573,182,282,349,527,320,452,505,
576,769,342,226,601,898,714,973,269,978,818,485,124,871,495,637,028,719,743,
175,431,761,160,220,814,443,385,688,156,269,275,791,465,332,789,156,881,429,
514,234,042,774,439,421,302,931,477,100,044,041,946,483,797,015,786,865,265,
409,873,476,312,485,273,909,056,819,116,853,002,094,618,519,403,716,639,087,
141,133,526,450,567,765,448,726,797,931,242,569,992,334,704,108,887,794,695,
960,441,495,334,410,187,348,246,165,110,092,921,942,664,878,569,403,890,708,
559,464,434,182,640,331,870,878,119,734,146,545,082,895,874,861,411,037,620,
645,621,544,450,033,018,837,131,574,905,212,208,797,873,065,085,835,328,941,
008,029,397,017,232,349,012,126,776,111,862,036,612,639,571,801,718,779,451,
101,281,918,272,882,091,180,207,018,703,386,838,419,963,523,669,165,659,832,
093,223,470,940,608,300,691,895,582,015,980,949,253,725,256,325,243,211,404,
507,628,612,940,165,854,660,893,389,657,974,210,245,649,679,720,175,580,924,
738,925,744,325,574,994,045,507,378,227,975,822,430,951,734,035,107,112,415,
932,999,968,967,812,183,484,610,967,297,526,685,459,022,626,945,041,609,923,
393,110,203,745,864,925,137,739,693,559,997,027,246,948,706,834,259,712,463,
953,713,423,119,779,194,544,377,256,216,595,031,387,539,515,586,303,555,296,
462,251,959,877,356,502,922,977,101,483,431,142,422,441,705,211,406,349,123,
401,145,358,635,335,397,935,047,837,532,717,847,184,249,068,987,764,133,031,
726,169,492,917,214,755,127,164,252,096,816,760,665,763,527,660,424,688,814,
018,184,494,556,903,016,922,937,859,943,742,293,676,190,653,067,900,986,431,
342,868,888,137,232,264,452,791,539,182,806,596,044,523,855,727,745,850,501,
758,460,810,819,661,693,371,007,136,546,414,924,427,443,846,315,010,901,103,
037,458,712,317,150,345,567,782,742,254,271,881,690,773,605,292,766,576,346,
682,105,714,129,978,014,402,103,783,507,591,361,811,018,980,489,535,897,085,
542,529,946,563,525,082,424,792,218,563,790,552,787,741,785,647,242,520,505,
242,668,817,534,573,686,203,219,519,070,055,619,843,205,785,544,071,940,573,
628,124,126,719,898,428,964,596,544,143,054,907,811,254,091,945,663,122,371,
693,706,204,552,907,478,600,646,675,527,055,129,807,163,301,357,731,851,505,
153,141,318,289,911,838,424,513,416,979,319,243,898,979,062,991,397,357,272,
761,667,912,998,719,342,857,789,146,745,913,769,503,540,258,458,139,371,680,
220,446,368,445,421,748,385,684,400,331,402,937,870,391,755,053,711,313,102,
172,881,381,371,437,757,286,179,859,426,592,871,517,993,179,480,716,087,038,
223,937,365,873,972,576,457,663,518,170,320,340,660,260,663,032,362,441,883,
607,860,782,489,951,929,294,089,924,443,480,544,538,924,445,983,334,035,960,
588,707,165,732,461,987,810,237,544,404,113,220,720,962,080,999,215,060,564,
995,816,851,115,454,084,550,015,627,459,622,215,950,442,485,143,557,370,279,
032,853,452,035,788,246,106,412,130,060,420,819,746,558,976,391,390,227,833,
113,600,992,967,833,154,587,037,751,133,278,727,269,305,260,071,763,227,077,
908,878,225,966,781,043,572,262,953,342,277,407,891,158,500,207,385,853,521,
745,314,842,375,873,991,603,635,422,059,989,392,907,716,539,909,811,358,846,
260,530,295,896,312,135,578,276,143,803,293,964,253,296,647,830,618,687,303,
633,052,428,650,866,004,655,704,145,543,755,887,722,766,473,358,172,322,090,
655,975,360,863,357,429,002,111,816,817,199,066,314,713,168,737,608,785,366,
081,428,320,896,274,320,943,757,427,305,970,837,000,334,706,101,376,260,973,
409,135,628,049,945,246,751,375,092,703,364,178,469,996,918,473,097,331,408,
284,364,521,973,056,025,933,727,091,263,200,097,172,989,250,090,654,296,193,
788,947,179,840,457,990,750,063,624,018,966,666,714,835,518,995,786,592,524,
068,271,797,556,696,151,135,397,699,959,283,493,530,309,996,957,137,806,647,
642,375,804,244,898,330,141,805,674,455,095,461,742,776,970,439,283,166,803,
642,410,893,238,434,042,792,716,180,177,397,221,501,112,529,952,237,915,625,
272,647,375,527,916,857,092,699,047,428,426,487,835,354,113,419,456,887,909,
196,612,233,546,248,343,900,101,676,767,726,783,223,017,597,029,962,665,333,
155,858,973,132,850,638,762,179,828,393,711,171,392,643,607,839,865,043,151,
895,539,034,400,861,860,684,608,669,713,844,370,813,863,972,243,221,444,255,
861,325,980,823,632,154,356,577,448,141,236,579,238,376,590,455,981,299,591,
730,613,103,030,927,307,640,965,632,213,249,080,261,230,632,824,622,683,875,
851,192,845,232,641,179,461,632,316,191,277,033,145,652,508,352,316,157,044,
913,683,767,754,151,360,631,523,254,216,982,394,783,185,967,133,707,523,381,
847,158,548,522,690,772,557,282,826,723,169,474,999,337,310,977,290,667,989,
924,810,859,922,335,640,644,587,168,492,180,280,668,279,617,788,508,134,226,
207,167,233,524,085,299,039,798,536,410,466,989,270,434,770,682,279,892,550,
744,903,084,610,360,867,366,938,457,401,934,315,178,956,825,073,635,698,939,
445,565,879,056,369,936,592,080,328,847,854,844,840,491,635,407,865,715,614,
491,530,741,023,847,479,635,574,007,958,197,295,299,342,153,135,278,645,788,
341,445,192,701,417,812,113,215,879,826,965,402,665,881,716,533,049,064,600,
326,859,441,290,984,052,071,917,910,437,646,280,250,193,414,293,894,967,854,
716,042,313,420,613,415,724,394,046,116,623,903,976,472,579,294,029,114,700,
939,299,692,405,575,669,588,377,769,745,496,932,228,988,656,016,018,155,885,
987,473,352,278,541,916,599,333,563,522,312,347,360,331,337,874,412,329,545,
608,338,204,979,774,927,487,991,361,094,424,551,142,625,004,781,867,500,607,
768,432,296,848,841,052,830,246,532,679,050,972,980,319,058,015,104,475,176,
785,105,033,974,885,406,434,683,752,495,742,910,848,337,400,216,064,858,352,
446,122,029,564,058,217,086,027,418,194,291,000,156,777,294,624,968,596,626,
122,907,739,492,202,916,084,092,603,085,206,547,910,806,004,385,435,701,855,
977,523,666,466,593,244,752,300,367,834,987,619,871,016,048,444,613,042,752,
343,852,548,138,197,516,814,424,315,088,081,674,860,052,944,950,361,649,209,
801,860,951,519,720,018,968,123,549,602,760,021,242,242,170,382,314,695,550,
659,381,246,345,416,353,371,337,885,908,781,081,921,854,181,365,398,791,065,
938,509,734,157,927,811,651,295,626,877,164,017,571,743,380,914,830,080,308,
992,003,519,043,101,258,045,020,032,464,363,239,663,774,380,310,684,664,541,
922,173,557,373,585,708,585,890,809,837,620,025,025,372,182,782,958,908,400,
014,660,562,388,455,627,217,425,680,103,807,950,684,421,433,876,988,035,403,
462,274,015,108,496,390,876,018,609,497,494,865,128,570,535,815,847,788,438,
071,002,080,776,230,644,059,471,619,897,704,540,468,381,903,549,616,939,371,
094,822,712,510,881,809,971,735,467,687,306,441,864,126,784,494,606,851,642,
581,751,460,638,876,486,514,099,719,540,323,941,849,284,775,550,569,996,485,
434,039,162,347,879,196,316,197,225,292,129,702,666,522,798,684,961,854,091,
621,261,159,295,253,288,269,793,970,290,670,304,174,739,641,454,480,575,275,
273,283,406,635,772,369,511,304,337,485,664,602,809,800,218,726,012,608,196,
439,007,393,060,797,857,666,026,253,705,636,199,267,491,136,142,774,203,152,
160,606,629,352,879,420,026,294,799,128,139,464,832,723,501,221,676,660,148,
892,898,554,932,470,694,542,511,614,353,157,088,106,216,425,138,322,802,456,
475,824,961,634,508,815,615,521,340,827,222,761,391,895,443,683,641,857,618,
288,383,843,401,807,333,224,872,526,321,300,284,239,279,739,174,256,280,660,
245,290,052,542,641,083,580,978,372,191,235,786,010,454,196,724,336,791,552,
119,777,109,224,445,743,951,209,505,140,293,100,983,370,808,818,968,743,666,
212,953,318,287,496,941,903,058,847,494,300,028,448,328,552,725,999,524,792,
342,141,256,710,427,934,343,878,565,543,121,705,632,895,435,289,960,251,914,
512,381,746,779,224,816,500,053,093,704,573,375,543,645,257,196,394,423,675,
915,477,480,487,244,693,329,150,090,970,563,417,705,331,215,047,348,664,687,
646,249,255,256,209,469,602,536,661,263,284,173,262,265,568,187,459,267,622,
265,032,494,343,999,273,610,644,111,489,285,764,302,770,212,285,678,336,918,
419,437,949,360,156,646,481,611,895,772,169,547,580,449,068,415,582,157,726,
337,328,645,514,886,289,889,512,622,142,447,948,400,488,866,832,833,807,224,
805,227,729,314,230,909,438,192,202,499,503,541,480,775,499,872,426,395,845,
612,857,891,525,453,546,204,200,734,824,773,974,179,603,902,765,312,981,120,
823,748,592,167,479,282,084,945,659,612,103,243,601,793,097,471,046,611,232,
282,675,931,922,977,372,059,797,181,511,248,808,452,242,283,831,171,534,808,
837,183,755,554,557,016,031,597,284,324,587,039,462,622,450,347,629,731,892,
105,433,775,195,693,959,149,242,507,521,933,835,123,128,876,623,683,333,983,
387,946,270,534,452,115,547,673,787,310,664,919,211,274,387,483,711,076,042,
120,405,448,242,693,063,137,691,200,489,543,202,226,878,075,676,760,214,664,
108,305,687,013,778,870,242,927,330,905,569,332,710,116,057,240,460,788,028,
255,280,690,822,663,841,238,039,891,327,738,051,826,768,789,015,763,176,911,
274,287,630,448,177,523,996,657,570,294,085,703,901,706,492,544,317,778,726,
557,819,618,773,681,965,420,994,002,079,280,283,327,445,309,765,501,568,637,
728,696,744,530,297,294,805,905,251,397,772,291,008,847,803,477,687,520,529,
899,077,145,903,672,461,166,928,003,578,665,550,036,715,205,364,193,544,405,
062,260,915,886,483,344,181,847,413,525,379,235,101,620,667,116,876,856,335,
168,726,336,637,939,398,161,334,680,088,708,407,638,432,977,132,789,051,734,
944,332,842,570,319,823,400,818,159,962,577,214,610,328,540,761,389,149,467,
118,497,857,831,895,651,028,816,591,703,200,574,374,508,481,189,132,383,160,
417,252,070,119,163,566,498,542,476,129,959,456,690,640,918,125,420,737,192,
917,553,689,123,487,480,500,776,775,521,470,412,559,069,589,847,961,342,387,
109,534,482,916,824,834,270,752,921,849,023,332,067,498,651,069,548,887,102,
402,500,669,556,837,740,311,937,398,893,188,429,879,411,940,971,736,329,920,
049,005,218,667,155,589,067,764,703,937,801,097,292,588,564,234,473,494,737,
787,801,049,974,854,273,820,080,772,811,749,377,406,183,740,421,414,344,070,
366,719,402,638,103,994,388,321,035,083,913,846,534,405,648,061,602,820,584,
403,556,466,341,928,298,274,943,960,576,535,578,195,481,285,235,459,957,245,
428,529,898,274,948,274,175,273,728,620,994,535,282,115,904,124,583,499,318,
984,667,600,265,983,802,098,299,505,253,390,797,281,598,859,573,264,129,201,
707,394,605,629,931,271,314,160,572,143,571,374,572,054,745,638,880,257,917,
474,277,404,818,394,217,661,831,107,308,608,416,213,298,086,910,552,012,180,
277,748,454,828,296,925,954,356,573,550,093,305,028,220,826,446,842,960,859,
346,670,897,990,422,847,480,175,769,755,292,204,034,674,030,752,197,680,309,
200,845,055,520,033,187,306,631,441,227,664,543,020,459,718,917,937,124,138,
955,062,581,594,441,345,099,904,503,181,805,691,873,201,873,682,742,606,233,
840,957,970,151,464,358,010,477,043,572,614,411,070,319,053,598,333,462,917,
371,891,282,329,237,849,331,172,264,703,691,027,278,962,998,332,672,253,269,
862,706,983,713,867,217,517,939,007,751,266,566,918,368,340,813,915,067,821,
074,178,498,024,409,593,200,701,914,002,720,015,043,595,119,803,479,037,236,
563,936,481,325,476,496,851,888,699,479,074,344,135,531,332,144,321,577,871,
356,910,272,040,105,658,367,733,288,159,929,701,280,953,697,641,015,229,392,
941,452,476,651,807,935,768,241,513,220,887,168,236,320,967,099,936,440,519,
843,579,933,221,130,136,560,829,399,644,859,051,543,491,975,067,160,909,462,
863,853,139,560,703,548,828,492,000,439,092,698,395,760,750,516,980,424,338,
947,658,540,751,108,052,358,631,239,031,903,656,088,050,088,141,643,383,420,
511,349,817,128,182,669,431,760,786,586,267,146,291,636,150,523,170,028,682,
334,144,093,949,188,731,281,154,501,298,511,104,909,905,952,575,105,944,393,
008,471,189,103,725,912,291,970,960,239,834,162,118,523,609,599,097,213,716,
759,373,536,038,382,279,961,475,346,553,841,389,810,749,199,791,819,592,599,
901,862,730,031,478,914,088,101,640,817,854,480,355,725,074,526,544,643,599,
800,121,271,707,431,845,238,618,727,360,369,994,660,080,833,645,292,220,401,
962,020,351,277,197,672,197,278,508,379,643,846,292,641,041,829,818,793,170,
736,724,095,304,643,078,169,983,334,695,112,494,158,334,129,959,088,379,502,
851,034,944,747,857,233,344,163,580,333,542,710,277,193,203,857,318,940,747,
617,524,598,531,901,772,147,014,331,621,479,002,336,924,910,382,397,327,667,
399,176,898,323,011,219,184,130,713,560,592,090,971,648,991,215,173,574,430,
016,769,337,368,651,878,367,960,894,486,531,198,614,385,233,577,852,697,680,
064,518,707,927,578,053,741,267,714,300,883,211,831,637,231,384,258,167,456,
856,974,641,884,311,546,480,037,065,265,686,661,536,993,767,273,537,189,226,
559,508,300,228,163,001,175,954,460,844,962,511,859,246,644,213,963,612,324,
219,100,806,275,839,786,014,410,799,915,124,739,328,464,485,540,943,138,020,
326,791,981,986,309,264,401,101,934,691,069,164,691,073,167,166,527,252,303,
273,353,858,561,033,220,464,602,130,190,890,175,760,694,487,660,710,643,179,
376,166,023,556,889,223,959,800,016,080,599,829,494,754,343,219,926,185,243,
210,546,945,857,560,748,377,750,407,478,281,010,700,166,244,566,080,963,006,
290,381,920,490,600,819,993,231,469,875,891,990,960,981,122,108,282,957,940,
867,377,701,527,929,536,329,852,548,697,917,981,802,091,250,935,523,996,185,
679,063,309,342,558,497,195,889,946,545,609,603,152,862,371,144,659,011,171,
958,783,803,994,859,671,493,750,637,066,360,417,589,433,678,799,759,348,180,
075,848,061,704,019,292,192,889,010,991,013,425,904,061,606,125,185,675,275,
554,212,878,959,728,056,197,575,980,978,823,500,477,347,348,701,975,913,874,
328,402,205,363,692,814,634,907,071,964,880,102,666,340,076,331,170,281,261,
834,511,067,431,020,007,910,892,564,942,757,828,767,617,260,822,336,864,137,
429,926,325,118,950,706,244,126,946,911,461,912,690,286,850,899,661,044,733,
193,316,339,364,908,214,788,549,099,297,830,144,887,612,930,378,010,553,763,
806,737,137,320,239,671,031,704,729,191,184,664,195,034,346,197,493,977,327,
056,553,661,576,326,081,981,485,373,650,451,564,449,244,801,913,484,762,349,
399,093,584,271,853,392,520,136,126,489,724,887,481,738,782,044,421,518,354,
988,720,967,660,909,539,829,871,120,833,658,342,362,077,058,345,308,198,725,
160,719,902,026,214,141,657,649,607,668,988,176,957,897,791,425,566,766,984,
676,737,229,395,174,308,391,271,981,810,923,976,385,921,740,908,090,773,477,
059,026,680,231,132,099,450,019,550,915,216,133,520,888,889,390,984,966,746,
534,471,388,727,350,754,975,883,489,417,681,106,560,030,426,443,643,047,219,
634,985,439,814,355,516,751,449,940,931,593,447,611,389,371,398,058,762,415,
818,119,349,539,832,774,257,548,625,687,434,785,839,549,646,562,708,041,562,
631,526,433,333,952,614,861,922,025,965,239,733,339,827,544,356,493,291,500,
124,874,162,760,787,203,155,296,785,757,815,535,897,473,051,674,549,260,777,
254,494,053,452,637,566,172,732,249,692,037,000,307,654,421,666,468,493,189,
897,062,249,102,639,822,424,679,213,089,030,496,284,690,189,876,329,136,983,
249,167,217,897,288,953,280,502,291,677,247,198,017,548,043,365,757,827,655,
477,837,408,931,809,939,801,548,948,157,705,011,944,455,645,840,907,131,382,
590,986,626,184,425,738,443,139,496,283,624,067,203,662,402,672,440,769,733,
246,947,315,078,526,432,505,589,702,808,885,540,133,656,387,246,636,625,084,
444,076,898,552,778,472,919,261,447,536,027,225,871,937,353,554,027,045,690,
214,096,873,953,509,143,919,947,157,061,333,646,826,103,977,605,906,447,072,
078,182,859,887,536,289,231,803,890,041,500,436,477,229,978,761,787,665,861,
352,514,117,444,357,208,908,518,922,109,897,081,176,749,345,890,557,683,534,
508,557,331,382,438,093,385,110,767,432,140,548,548,437,645,251,021,858,091,
402,031,939,414,730,738,450,594,394,562,962,611,624,787,668,416,089,336,331,
340,986,821,886,250,447,607,143,932,182,568,023,797,590,608,982,519,303,842,
407,723,952,950,675,952,576,203,078,333,565,086,293,186,141,563,570,435,592,
061,124,414,545,874,618,894,311,231,908,735,667,155,845,339,665,086,405,892,
154,298,878,189,514,949,508,007,743,665,485,828,419,587,086,681,806,000,964,
675,156,911,099,456,265,911,936,384,337,438,967,658,790,952,262,275,131,934,
499,900,451,064,384,820,018,962,715,994,429,388,399,497,320,298,048,864,896,
841,381,127,907,317,540,558,600,253,554,143,038,353,433,324,223,865,728,017,
833,776,889,297,715,457,962,791,512,757,230,885,350,807,716,631,472,165,769,
220,352,602,644,777,949,340,805,239,681,750,182,873,571,680,887,956,396,946,
303,035,814,634,309,268,523,966,478,201,272,932,750,037,402,894,783,898,217,
980,480,120,949,391,099,122,967,012,902,143,237,016,028,325,995,611,516,821,
559,226,654,781,713,598,954,784,437,734,705,779,830,605,312,322,811,473,456,
887,221,810,390,724,565,379,982,517,773,452,706,070,736,749,422,498,997,773,
718,294,906,337,451,821,471,814,304,680,531,609,374,780,612,116,983,107,591,
229,177,387,828,178,616,529,194,706,603,491,683,202,920,070,847,448,839,936,
133,655,194,644,037,368,449,722,936,165,488,160,247,399,921,627,309,147,661,
614,324,344,077,799,285,701,828,576,544,603,150,781,416,444,016,779,644,411,
228,070,978,534,342,658,198,836,328,605,271,744,088,502,731,900,635,197,255,
806,656,682,234,486,587,237,493,404,476,528,842,599,145,264,476,731,349,931,
260,810,432,738,991,069,835,958,736,970,261,322,671,651,180,131,558,217,826,
514,720,949,402,543,953,656,099,750,443,262,497,882,516,519,812,931,381,250,
510,927,321,362,502,146,714,014,663,634,691,363,779,342,124,387,785,826,073,
025,273,424,946,931,403,554,586,852,754,624,908,471,092,881,521,761,765,581,
352,218,876,307,720,250,165,095,574,112,315,372,302,274,751,436,270,828,378,
874,077,931,235,233,926,775,240,274,971,497,008,293,051,192,339,480,349,202,
630,281,359,665,465,771,294,692,519,822,788,164,109,634,356,565,364,787,523,
395,940,156,316,391,653,367,813,460,530,307,709,834,816,561,727,483,265,244,
801,925,531,499,317,729,208,704,586,852,583,700,309,577,052,932,815,729,426,
803,846,384,203,199,880,303,127,782,010,390,599,871,858,977,855,685,898,586,
694,834,132,935,228,343,159,456,645,642,020,211,494,439,499,438,416,485,199,
593,605,854,957,744,831,168,975,669,513,542,500,504,672,137,134,266,592,842,
081,184,525,214,673,673,724,229,710,345,470,167,045,182,146,857,886,687,460,
646,824,263,885,402,143,354,915,034,845,572,171,569,905,346,569,036,363,808,
505,427,312,015,522,171,736,583,093,589,542,240,461,973,201,897,091,076,445,
890,573,451,799,407,758,928,148,859,895,724,358,305,299,405,845,413,610,654,
577,979,964,111,593,205,099,285,756,421,954,967,767,959,227,402,039,488,365,
925,948,187,053,831,302,237,967,846,054,947,910,597,364,185,510,368,859,729,
628,664,449,491,625,048,013,823,462,078,596,936,560,020,388,994,844,247,444,
397,778,196,867,773,586,786,336,203,628,445,830,966,666,877,810,615,265,739,
761,798,120,938,770,327,460,723,595,740,679,766,225,505,886,361,057,445,120,
048,317,036,762,502,051,799,731,750,943,148,333,798,818,654,281,752,406,245,
890,347,652,384,181,039,999,537,042,154,015,179,989,475,363,312,452,537,806,
355,402,220,652,330,780,989,386,690,366,335,865,990,963,176,547,700,337,753,
689,852,865,677,112,267,217,814,400,149,429,816,685,860,165,455,117,983,087,
336,119,866,049,825,968,015,659,693,127,652,472,718,515,329,367,858,481,073,
684,697,517,158,629,784,406,426,611,956,064,864,396,562,724,332,244,692,663,
364,627,555,936,386,005,520,411,591,385,730,490,278,288,497,865,596,355,828,
046,898,661,450,140,991,807,851,076,417,108,375,967,939,882,876,703,216,837,
822,917,093,284,507,891,360,498,145,395,620,203,737,698,823,503,721,270,163,
401,850,199,422,705,728,263,928,086,968,281,835,532,670,861,832,617,905,677,
614,483,766,018,285,764,197,231,478,351,972,843,335,635,458,909,149,659,939,
593,835,655,879,137,725,699,729,378,723,078,121,934,874,045,124,405,214,669,
984,105,724,483,277,506,682,774,515,044,855,721,889,871,722,609,379,863,419,
980,710,819,429,820,255,548,042,296,458,263,980,932,165,395,096,335,174,581,
081,374,815,208,923,129,557,752,172,756,629,926,876,785,600,007,825,192,211,
358,722,483,416,417,635,921,062,580,077,289,517,011,057,983,042,312,721,615,
183,709,380,660,745,167,880,402,472,925,010,406,462,340,503,730,593,027,975,
472,006,413,168,537,973,017,531,039,564,671,415,296,709,615,615,783,088,180,
922,739,723,823,418,695,586,226,802,650,891,052,693,489,420,441,161,746,936,
643,738,148,857,708,946,063,684,978,768,318,978,588,924,507,181,706,045,237,
336,095,571,511,471,470,470,012,371,277,091,667,256,658,101,773,404,528,529,
802,018,023,181,639,480,218,191,527,456,475,117,468,441,380,076,127,850,789,
562,346,261,855,239,657,303,877,378,959,887,103,571,688,225,036,385,746,079,
747,658,507,274,239,718,316,037,758,688,090,549,869,115,814,430,512,466,992,
496,179,009,029,124,856,664,128,429,684,934,351,398,930,993,271,181,467,224,
537,556,464,005,064,936,533,880,698,191,065,512,169,914,165,447,469,334,130,
678,142,990,254,175,115,040,539,301,573,323,085,343,661,047,844,617,056,841,
914,979,584,199,246,738,142,287,142,285,709,292,194,550,950,176,850,840,256,
994,906,552,009,240,195,691,090,400,518,344,058,481,313,273,829,101,389,175,
414,405,847,648,643,451,141,820,161,633,258,758,824,022,841,104,278,319,710,
550,880,299,190,656,579,944,280,453,590,046,888,589,928,814,206,565,343,652,
264,175,511,296,658,612,925,803,066,946,447,196,304,272,140,763,612,519,936,
372,888,397,105,718,852,609,487,024,117,494,560,715,491,727,506,349,609,577,
729,531,391,612,806,380,153,018,452,234,955,536,458,901,625,644,854,783,510,
172,621,808,523,067,792,478,630,887,683,006,559,766,025,769,363,390,323,155,
398,003,549,725,761,231,542,010,955,106,469,504,718,333,166,043,810,183,045,
329,030,550,779,533,651,539,159,664,284,258,633,469,254,831,576,092,300,888,
781,992,142,251,519,644,222,505,429,112,434,156,211,872,600,801,897,649,555,
432,426,990,629,597,442,572,628,310,721,256,706,261,232,897,985,452,455,213,
624,441,122,985,956,907,563,456,174,426,609,105,857,975,577,842,435,893,654,
321,944,647,322,891,074,784,093,753,286,984,209,138,135,325,932,557,880,293,
032,053,823,257,591,700,484,276,345,244,219,441,910,250,244,405,194,195,029,
472,074,076,264,553,146,431,793,847,263,002,600,136,910,790,948,779,590,407,
958,017,134,771,152,582,990,106,780,029,527,284,316,649,009,631,761,023,168,
874,432,833,833,219,187,277,739,450,903,513,059,978,401,493,705,908,269,393,
707,638,301,596,576,218,312,766,913,925,179,391,006,220,816,719,664,546,515,
882,576,938,589,631,866,073,052,156,323,420,804,571,589,505,739,097,888,707,
967,998,216,540,691,491,720,294,636,023,360,882,280,012,466,589,186,874,442,
057,612,744,843,895,747,698,733,538,941,702,654,047,234,390,248,406,358,847,
841,309,802,241,995,178,343,122,012,616,891,772,729,919,447,551,265,537,118,
198,787,965,927,692,391,051,366,571,549,362,323,085,337,851,133,237,241,703,
002,746,548,356,694,036,112,140,927,462,393,030,876,515,274,182,319,049,794,
150,501,562,525,390,011,231,777,942,572,416,473,541,117,762,356,398,303,748,
311,069,550,067,580,744,678,614,875,156,345,355,885,678,219,586,434,963,616,
403,780,040,007,981,474,158,472,684,380,582,929,590,024,384,057,950,333,861,
830,422,122,519,521,583,063,728,800,222,077,221,129,352,132,365,120,316,768,
511,081,357,557,293,312,806,813,697,610,287,817,473,424,637,603,412,728,503,
270,784,569,274,616,484,339,233,497,399,374,781,477,762,773,582,026,032,313,
456,345,183,690,060,348,029,699,531,940,232,518,464,708,233,020,832,129,318,
700,764,479,376,489,404,979,958,718,612,127,194,938,578,486,290,126,781,734,
865,936,535,790,116,611,834,470,560,443,917,109,733,752,837,440,712,914,112,
046,439,862,042,514,903,159,759,249,337,674,052,236,668,637,301,534,673,392,
423,211,987,171,243,650,201,087,395,563,558,236,130,255,703,076,575,226,197,
197,828,094,084,372,509,451,536,771,501,606,646,180,050,154,519,690,540,946,
640,993,249,522,459,443,695,713,918,138,847,125,729,234,477,540,303,980,007,
192,240,198,488,560,289,785,929,200,659,230,376,151,608,658,349,074,053,479,
447,986,177,787,265,389,985,576,496,162,321,978,576,430,388,151,757,032,197,
243,392,398,559,114,986,569,345,402,890,569,169,876,015,188,490,871,828,291,
010,575,332,406,232,827,808,322,071,170,986,301,650,797,332,078,695,521,961,
666,020,206,876,813,544,673,125,979,213,939,640,697,178,909,387,737,889,017,
992,838,737,249,003,911,401,623,650,040,609,676,817,421,140,349,336,194,663,
904,016,711,380,071,085,134,482,686,872,449,026,143,408,369,807,138,431,727,
500,080,205,294,227,806,409,985,348,944,522,624,560,864,919,498,998,399,244,
165,008,460,359,197,666,399,887,422,666,726,668,038,384,046,259,045,016,617,
200,903,347,561,988,474,629,126,759,328,504,627,491,420,595,515,802,515,776,
063,893,543,067,465,225,244,029,752,992,190,307,758,223,984,700,205,524,192,
511,131,878,250,612,242,167,994,721,777,022,843,718,158,626,283,375,074,826,
230,910,526,528,052,278,628,467,460,326,488,541,039,095,578,653,501,705,112,
058,008,362,815,307,384,318,777,606,234,820,064,968,027,824,638,596,987,050,
448,885,143,143,012,322,842,726,843,445,899,241,368,498,868,109,666,442,500,
590,772,493,511,091,520,087,900,060,928,929,627,737,067,487,219,062,169,455,
345,541,491,276,843,893,500,349,882,820,494,512,274,561,842,742,187,702,349,
157,897,699,962,081,739,682,197,814,858,247,823,652,979,318,969,749,121,645,
564,485,966,250,260,876,391,161,267,308,332,414,978,887,269,380,909,970,742,
473,837,468,851,711,308,178,547,984,346,547,798,520,240,549,906,022,517,306,
189,667,144,517,585,572,266,979,654,342,017,353,144,385,755,240,182,645,420,
511,885,559,788,584,588,613,117,373,297,009,597,968,990,216,486,182,108,109,
822,712,057,152,348,730,313,989,958,801,509,714,404,702,749,508,635,346,036,
098,102,600,981,236,496,285,699,243,788,976,094,777,463,463,587,726,471,943,
612,856,263,691,943,390,143,659,185,542,521,298,444,267,894,145,156,863,527,
604,911,967,633,842,738,104,608,271,285,245,970,264,605,714,460,160,432,806,
858,371,654,508,713,696,944,513,615,448,625,495,514,723,904,384,936,700,153,
405,730,729,915,082,073,062,780,820,891,224,576,963,858,502,218,207,734,396,
764,078,673,449,374,635,843,471,548,055,515,556,044,398,506,916,266,908,186,
092,605,191,794,588,892,744,829,350,267,258,054,763,688,353,662,466,003,038,
669,125,588,768,249,386,086,743,977,782,403,904,990,819,692,860,621,311,686,
613,389,432,866,719,216,037,023,495,106,516,124,879,483,409,434,567,336,895,
576,545,526,634,820,130,067,000,540,892,593,220,682,264,117,695,055,131,840,
723,549,333,952,078,264,732,143,215,171,673,102,574,006,678,603,720,205,379,
888,015,664,771,104,978,580,760,730,131,304,495,503,946,502,890,920,284,467,
611,059,006,436,247,547,530,821,240,005,341,067,377,755,461,466,229,150,086,
413,701,271,506,438,387,627,821,313,623,558,574,034,305,395,323,405,871,628,
032,650,453,775,800,387,865,254,531,586,734,707,108,679,731,324,031,812,260,
478,046,533,130,165,712,799,746,264,484,803,845,086,297,541,164,456,927,521,
401,542,521,876,169,980,636,930,451,191,460,702,694,806,330,039,669,482,216,
299,019,016,108,025,062,933,005,893,341,339,014,581,156,768,067,844,855,982,
012,078,118,137,673,250,219,142,537,792,418,116,467,566,290,051,157,550,491,
977,951,732,731,564,708,175,518,602,920,948,927,647,454,645,967,606,137,019,
882,669,067,584,947,456,841,666,885,853,405,216,036,501,804,071,231,478,877,
687,991,025,915,098,302,916,861,511,747,962,073,471,263,033,186,822,909,699,
435,321,731,089,222,057,085,947,876,446,861,990,005,632,100,168,024,140,707,
082,594,572,780,854,799,791,534,088,083,252,085,592,684,742,769,527,953,759,
764,828,942,427,646,669,868,489,810,824,339,965,957,762,119,024,996,668,774,
731,076,512,296,275,135,259,813,697,246,114,178,383,146,181,026,712,596,199,
001,917,043,614,790,332,526,830,566,887,732,667,692,062,182,577,112,005,352,
510,059,408,605,277,863,554,105,572,954,489,696,347,599,542,613,475,818,274,
703,006,675,992,176,576,265,561,357,379,459,057,794,857,246,073,458,902,804,
884,991,713,669,477,716,764,686,396,175,873,783,709,697,755,259,713,024,410,
051,715,401,052,540,558,541,736,678,932,735,049,090,714,835,920,765,477,311,
095,009,058,112,767,896,606,446,715,837,091,057,003,528,614,426,318,316,715,
518,386,308,237,804,569,753,394,409,803,684,920,140,943,818,508,929,107,548,
079,972,670,696,194,134,838,246,687,922,274,774,937,275,719,591,638,014,243,
032,481,971,909,148,475,203,348,184,389,081,290,815,086,436,778,574,969,549,
221,715,108,590,473,844,182,075,538,670,560,620,017,026,511,664,588,951,107,
194,562,729,245,793,708,294,454,509,851,759,326,844,829,174,379,884,186,830,
359,468,577,567,554,819,592,343,904,130,586,134,023,067,912,355,873,253,704,
262,063,181,843,831,780,827,465,712,255,845,925,922,966,250,525,063,751,472,
023,939,331,660,228,132,178,861,024,018,607,522,132,906,496,103,526,488,681,
745,937,428,445,620,259,928,759,605,331,596,011,356,956,219,206,981,668,142,
741,554,849,002,332,604,722,797,431,152,653,327,701,896,676,333,977,646,229,
712,651,281,473,442,137,071,892,973,928,030,336,066,026,327,604,905,035,265,
701,959,932,485,020,084,461,939,704,800,448,368,476,494,111,513,734,803,452,
473,621,776,382,936,016,091,716,185,239,190,533,676,135,231,753,941,152,198,
534,841,488,168,851,165,345,762,717,316,903,068,529,277,435,790,383,425,249,
208,655,410,994,092,192,407,336,284,921,174,579,780,354,772,348,438,571,392,
144,952,786,335,987,331,183,752,688,857,509,132,350,599,870,344,738,971,399,
148,600,186,612,393,469,728,656,991,318,343,598,729,220,104,183,884,362,459,
504,904,011,219,079,617,839,363,557,913,339,476,431,532,866,595,138,358,916,
671,065,652,788,561,577,986,388,646,965,568,944,930,384,535,583,859,441,442,
613,800,258,738,725,088,571,724,162,689,440,266,251,146,900,023,928,877,387,
082,402,850,795,352,039,047,373,676,677,588,843,177,730,609,658,728,271,194,
974,804,964,043,659,494,449,304,338,434,394,123,123,092,395,587,935,065,863,
036,592,312,463,462,100,506,002,957,011,550,749,085,477,680,950,980,992,482,
512,236,861,456,829,427,293,368,224,628,935,724,010,399,684,499,896,654,133,
966,926,138,677,765,270,320,356,147,416,754,666,487,660,817,570,556,571,938,
187,213,262,482,778,028,913,795,376,561,292,287,616,064,904,659,305,718,846,
922,671,506,546,502,646,284,018,184,861,715,554,507,931,096,095,185,927,647,
706,215,584,388,986,087,381,540,739,731,466,172,634,304,559,994,399,804,579,
972,611,293,617,770,259,130,570,174,634,447,571,317,846,787,520,293,131,710,
788,628,740,875,211,580,787,960,757,571,264,919,119,317,165,246,075,471,220,
764,472,899,470,107,706,317,245,792,052,521,625,811,293,415,961,574,511,520,
101,011,937,911,806,826,226,811,327,124,838,830,824,639,079,833,156,985,798,
223,003,539,665,299,478,909,380,409,143,357,330,781,135,552,310,347,547,828,
857,964,405,938,796,180,496,515,468,789,304,436,730,271,982,084,519,343,290,
099,371,322,896,894,017,987,899,997,385,861,085,197,677,696,478,436,025,966,
152,825,208,604,666,261,492,711,334,559,173,313,334,529,161,230,329,569,298,
355,442,978,160,211,957,201,018,881,356,529,912,387,315,877,756,789,389,126,
899,777,291,288,466,410,702,804,058,285,283,106,817,564,502,437,323,726,507,
233,260,805,634,630,525,985,583,756,396,009,279,756,659,097,263,723,539,933,
454,077,649,883,509,030,714,036,433,349,233,271,420,030,259,443,943,791,195,
936,624,172,816,709,078,870,860,089,002,994,599,731,770,361,497,706,087,884,
820,018,731,361,254,549,608,966,158,554,159,217,394,028,221,492,084,441,051,
436,140,617,214,402,722,773,533,988,720,176,151,300,441,663,882,275,107,583,
449,881,700,638,145,502,248,983,471,011,920,234,645,600,525,754,068,094,646,
733,286,463,586,777,951,013,117,139,846,600,492,293,676,878,218,661,789,575,
711,499,923,794,739,670,718,481,195,751,677,306,710,360,166,798,261,173,886,
219,106,424,315,887,139,858,827,577,701,258,720,629,372,045,386,804,539,319,
201,202,248,409,156,077,124,277,480,248,116,000,541,356,492,273,579,591,743,
347,011,691,261,065,460,053,482,358,050,579,212,544,480,845,243,641,810,611,
601,686,451,396,556,435,364,076,730,933,646,769,062,489,145,836,146,093,427,
027,587,466,902,018,693,726,516,198,317,243,267,491,586,947,199,584,774,763,
159,770,453,222,812,038,959,287,186,616,820,141,252,277,341,618,494,779,550,
700,171,485,760,969,932,335,681,079,125,877,314,504,989,384,466,828,726,251,
351,319,818,329,211,555,246,031,510,383,908,823,318,267,714,002,737,604,422,
424,744,530,032,540,921,155,637,318,669,649,328,568,651,500,234,399,732,098,
462,420,350,612,402,172,220,419,016,495,213,417,622,546,808,142,847,322,546,
900,091,380,651,924,639,365,411,852,959,320,596,719,835,635,395,869,608,604,
627,992,962,242,398,595,634,035,079,344,912,640,459,319,399,943,520,459,099,
411,910,477,693,180,911,490,441,811,606,266,882,119,342,983,914,993,494,843,
087,519,349,404,890,598,983,751,603,458,323,507,408,223,127,896,021,205,682,
104,535,909,025,147,482,157,149,019,527,715,992,771,188,543,652,160,206,762,
319,979,401,746,045,120,220,010,243,285,434,327,705,446,451,367,585,829,825,
695,104,581,414,199,343,174,486,475,867,170,208,197,175,388,512,490,573,936,
930,614,815,306,187,297,441,906,834,946,257,658,712,168,896,794,371,576,025,
529,752,728,736,212,837,849,143,682,713,015,443,702,348,013,305,673,968,004,
871,949,810,574,400,656,968,634,051,110,807,491,630,329,557,290,332,154,965,
841,609,966,102,084,089,670,159,814,631,932,385,120,444,789,405,416,651,438,
720,546,246,512,200,633,507,265,124,508,310,725,295,572,379,962,382,193,541,
337,840,391,603,329,806,350,850,614,421,204,089,357,124,456,213,042,908,040,
668,596,009,802,564,316,049,194,377,861,389,822,930,186,067,529,531,110,873,
862,536,043,488,284,885,738,367,922,646,249,886,027,607,393,206,424,571,241,
130,222,671,895,493,912,268,674,815,308,412,434,439,334,541,108,850,468,173,
676,585,029,336,829,170,481,550,669,909,931,458,118,779,391,752,652,541,303,
570,926,785,171,097,854,198,976,426,457,851,508,767,765,914,363,804,036,689,
381,258,205,384,699,906,605,207,357,493,462,891,753,623,426,044,049,971,842,
625,645,122,903,173,177,872,915,948,906,072,813,657,282,532,314,345,609,950,
535,673,567,841,242,069,888,365,397,050,226,507,257,194,610,155,598,271,552,
061,729,457,284,724,893,262,331,159,774,076,615,867,591,390,696,969,714,692,
750,157,899,392,699,543,118,682,370,496,708,156,907,561,015,974,491,996,680,
180,398,591,735,167,557,560,402,045,788,976,633,151,154,691,306,797,228,834,
436,925,802,410,714,304,327,553,742,500,227,714,446,303,170,950,875,444,905,
776,776,522,444,624,849,614,778,705,184,097,779,708,589,392,958,696,225,223,
481,537,677,310,975,064,167,863,012,437,898,708,837,315,202,842,960,162,139,
502,805,190,769,882,978,935,621,053,814,708,155,697,532,037,378,686,746,993,
405,155,964,420,436,771,286,133,816,742,210,785,474,609,101,252,516,079,348,
144,642,695,493,632,801,127,173,583,839,010,636,980,318,092,666,608,581,228,
619,837,881,904,276,324,740,634,873,504,063,050,980,900,671,850,594,311,464,
953,237,401,756,693,267,636,774,027,714,863,750,725,599,600,595,240,458,064,
329,805,414,301,504,420,145,461,879,898,827,916,746,611,332,446,836,287,136,
792,231,337,458,034,651,131,831,181,258,404,685,105,909,080,123,518,427,946,
875,885,929,607,057,621,231,557,677,765,494,881,622,657,357,005,662,473,012,
635,408,023,164,870,104,400,894,199,254,419,702,446,552,769,438,934,117,303,
905,863,980,419,987,598,479,516,943,899,265,968,267,544,358,149,790,036,811,
385,221,197,038,251,984,509,147,472,138,502,076,420,691,314,443,135,557,323,
429,672,612,462,965,520,952,046,113,687,060,275,940,750,322,874,472,466,181,
823,619,569,213,875,295,916,134,237,107,471,410,895,426,219,787,757,498,263,
963,887,874,273,781,311,286,562,777,228,750,404,842,225,810,087,689,752,456,
136,320,117,578,319,759,891,993,169,150,962,295,545,733,374,588,513,688,857,
037,406,379,764,631,257,042,704,437,907,270,760,677,202,098,767,446,484,740,
073,815,074,585,317,044,996,045,919,377,376,766,023,799,562,827,716,990,456,
461,332,403,452,038,364,887,489,905,801,945,566,338,354,683,331,089,066,192,
791,323,678,354,533,497,829,652,506,183,893,817,782,536,159,335,573,744,297,
520,369,555,790,055,558,831,635,791,930,816,184,081,194,201,986,906,981,420,
914,666,413,327,869,686,560,586,966,324,602,688,788,901,951,156,529,344,721,
631,526,939,225,738,624,796,375,275,907,617,989,130,417,447,954,971,628,975,
285,278,308,226,338,724,733,688,657,587,509,076,241,572,530,772,336,078,290,
808,682,862,934,481,991,500,703,966,154,686,873,638,506,070,512,373,587,370,
144,993,404,776,750,696,521,713,126,684,977,163,527,170,041,035,164,284,446,
768,250,490,127,016,594,063,509,039,205,960,269,026,901,418,037,902,928,390,
627,062,205,806,329,165,621,298,509,083,905,512,573,496,669,270,743,662,540,
372,531,878,971,422,625,014,901,289,340,877,158,014,774,009,708,721,306,659,
351,491,089,164,483,428,036,115,153,342,387,547,290,142,571,300,743,593,225,
580,576,426,441,130,258,684,250,692,681,234,802,078,934,878,901,091,358,840,
832,522,055,625,938,714,607,545,436,451,080,676,536,723,874,822,371,126,292,
988,397,485,558,564,234,458,538,576,001,635,415,872,045,716,699,047,817,285,
976,150,112,016,184,904,827,572,960,089,520,258,874,389,703,131,064,040,553,
026,818,571,926,225,585,605,405,079,125,436,120,855,268,114,520,021,053,439,
708,918,878,600,927,739,126,668,461,849,466,893,623,802,673,821,337,037,780,
596,271,079,088,373,091,563,605,642,670,416,226,149,854,751,440,720,543,962,
406,984,987,226,838,349,584,900,857,345,118,086,244,043,016,538,019,898,838,
272,951,727,781,861,951,587,697,615,573,608,913,394,804,872,003,294,964,887,
919,400,416,893,916,176,926,945,534,956,069,872,749,075,525,868,429,179,115,
284,544,091,565,494,817,131,687,058,247,783,794,693,451,400,683,323,758,863,
718,986,691,300,800,459,467,209,048,505,703,083,972,710,757,441,134,125,997,
081,865,706,577,738,973,971,695,272,968,981,196,486,718,152,017,423,447,509,
498,475,628,733,129,044,917,765,359,833,225,539,912,241,652,293,189,032,000,
238,076,783,005,485,977,706,095,330,208,368,478,893,365,705,102,156,178,496,
696,370,739,835,975,847,071,697,030,493,221,437,603,776,915,893,809,111,751,
265,605,808,325,443,408,042,416,198,986,132,858,701,419,556,708,760,998,238,
520,003,641,089,677,569,278,137,974,889,922,984,265,123,837,893,987,328,834,
082,970,803,518,850,154,103,705,092,685,056,128,388,345,746,354,146,182,839,
415,543,339,026,768,317,647,781,185,475,877,737,977,541,332,668,597,369,603,
677,039,912,096,337,623,240,991,848,896,045,104,758,284,440,998,604,412,421,
133,679,769,296,414,601,774,096,593,567,041,175,939,527,160,259,882,407,559,
322,059,320,686,202,538,856,277,412,176,011,611,222,688,144,856,145,460,894,
757,144,251,548,112,710,787,100,082,987,035,028,245,145,877,217,761,941,358,
289,040,193,313,706,995,223,283,120,100,216,104,018,804,413,153,815,139,365,
707,737,783,437,763,252,748,741,098,730,398,743,002,814,785,417,746,447,330,
459,134,084,383,066,448,071,976,692,979,102,934,099,068,728,425,199,767,452,
068,149,486,036,056,855,136,048,207,692,936,187,498,820,449,144,334,539,944,
191,809,794,688,940,892,315,851,966,964,860,129,379,453,281,625,151,303,125,
726,863,358,478,779,791,520,451,684,874,078,433,715,725,603,890,762,755,954,
204,494,774,078,550,925,479,152,281,777,612,159,109,109,931,985,821,082,637,
510,209,564,216,689,866,852,938,925,371,718,584,224,467,180,358,937,467,437,
378,942,386,140,985,275,209,401,191,725,065,936,269,179,820,752,791,733,047,
413,765,128,277,421,088,413,820,672,249,145,427,399,308,845,729,960,700,952,
297,748,293,064,193,573,247,097,150,835,951,919,388,155,579,555,080,195,978,
177,413,032,268,055,818,581,137,698,575,998,645,232,833,480,608,293,325,693,
615,708,023,817,600,749,817,467,547,386,422,602,757,303,908,301,278,133,926,
605,740,874,900,661,834,062,118,500,390,273,317,932,702,421,392,371,340,651,
674,573,645,188,538,691,222,019,860,333,918,645,590,235,586,109,509,983,694,
819,975,715,305,710,547,198,096,641,180,519,816,590,331,769,868,179,780,062,
624,029,059,502,345,351,149,389,560,548,998,316,303,709,851,570,772,268,327,
925,954,558,489,297,790,381,529,275,900,340,117,739,200,528,781,431,981,789,
724,620,912,279,238,347,921,607,596,642,868,103,473,359,766,827,336,119,311,
214,711,393,641,673,087,215,624,456,398,894,080,102,167,572,057,494,010,606,
855,595,613,190,418,673,208,232,701,189,794,895,883,502,913,642,249,149,726,
689,963,558,840,796,790,493,513,559,630,890,929,338,150,726,848,838,162,986,
797,388,437,375,967,093,007,268,515,748,275,956,146,997,943,342,039,666,532,
385,250,181,419,126,492,496,378,944,650,670,496,110,861,297,238,699,812,764,
932,218,154,687,673,258,945,134,925,854,615,069,308,700,925,270,592,238,961,
849,251,853,653,957,384,623,308,028,605,751,200,877,339,021,991,629,684,146,
465,683,837,516,236,960,814,206,517,232,893,505,598,690,925,968,162,823,614,
594,748,341,414,767,059,220,296,795,494,026,176,926,601,872,953,136,249,619,
233,011,085,089,555,344,058,153,989,739,811,543,941,381,005,574,025,475,845,
094,270,572,898,430,841,870,464,704,711,636,882,296,832,045,134,339,878,304,
577,345,405,397,381,900,754,007,127,267,024,747,068,059,543,925,167,425,805,
328,629,017,655,123,405,368,177,073,758,742,018,678,989,917,994,807,844,404,
994,155,104,060,584,243,060,372,962,843,220,363,563,773,651,662,624,674,066,
291,906,848,971,060,824,109,793,828,715,999,084,354,707,156,482,377,188,105,
684,912,469,236,045,261,846,010,284,446,374,901,394,742,598,912,333,861,526,
283,403,881,403,745,326,749,092,054,830,109,027,027,403,596,801,226,539,454,
053,138,900,881,118,763,701,693,133,929,242,022,949,905,153,738,469,925,062,
327,926,978,258,406,443,768,549,192,125,279,778,813,679,145,145,534,741,515,
044,853,859,375,178,324,725,410,540,922,884,624,097,344,782,067,176,223,015,
996,446,540,884,161,833,139,012,876,086,990,259,165,997,165,064,207,915,169,
515,827,399,258,183,666,037,700,972,415,873,143,258,408,516,217,719,621,811,
859,724,353,418,187,774,474,307,072,681,833,914,806,191,021,853,495,106,897,
280,621,227,626,608,127,485,925,786,413,850,291,163,893,365,603,331,534,603,
417,472,560,356,518,973,098,118,540,514,248,479,943,904,900,791,873,240,469,
282,200,347,020,708,361,597,145,134,815,717,939,580,815,900,069,520,697,557,
631,907,167,424,926,354,721,065,043,938,353,645,349,623,033,432,385,378,373,
401,754,175,026,462,038,406,231,754,052,142,027,159,549,091,382,628,950,079,
923,259,332,649,000,800,283,457,590,772,189,855,790,760,061,615,835,138,765,
114,284,278,142,571,129,869,732,553,728,536,232,462,967,824,198,550,194,131,
438,023,022,986,113,294,352,794,483,236,712,359,821,567,514,315,453,404,980,
961,745,456,257,758,154,410,402,770,184,377,558,422,953,212,069,936,839,440,
116,897,339,260,068,750,643,270,812,658,317,967,516,497,033,433,474,751,482,
436,879,230,766,859,856,569,426,915,607,934,016,017,865,968,746,272,269,388,
657,602,767,816,585,269,670,709,394,990,231,077,792,187,845,048,077,907,705,
501,174,312,320,028,878,874,475,570,880,619,203,343,119,382,428,742,457,990,
177,870,396,710,006,037,329,236,371,987,956,448,402,991,856,211,446,309,193,
748,663,400,419,412,927,160,064,201,444,142,230,310,845,284,497,361,672,301,
084,278,922,468,813,116,575,599,326,717,102,722,472,795,907,485,622,960,043,
595,947,732,639,039,885,691,117,408,528,696,766,163,187,877,813,093,420,043,
371,794,826,032,418,430,000,559,817,303,441,755,530,159,085,659,709,085,181,
476,608,690,828,581,182,337,616,609,007,949,273,064,742,707,005,896,083,490,
639,899,043,582,491,026,331,393,101,155,160,585,859,410,056,164,054,777,507,
862,179,035,118,988,908,456,091,228,732,780,094,984,643,284,353,722,308,479,
540,042,638,588,153,971,774,183,862,579,621,134,001,801,509,209,114,389,689,
905,325,800,840,838,581,125,824,939,451,512,437,904,194,368,036,687,490,705,
365,929,095,982,916,943,057,190,950,781,556,464,890,455,021,780,071,561,239,
932,666,480,025,341,062,068,649,660,339,381,966,115,930,543,127,233,951,347,
026,069,911,586,495,635,501,721,868,904,177,834,259,712,102,270,327,588,486,
106,799,127,538,971,217,123,841,399,076,811,879,132,754,937,018,159,597,974,
206,808,808,199,492,088,001,139,372,831,244,022,249,280,319,334,257,281,210,
476,429,549,962,191,920,680,334,786,537,623,294,666,266,487,548,778,924,817,
704,553,485,737,628,282,039,223,714,998,451,528,058,840,272,702,199,801,284,
681,059,167,555,110,366,507,515,386,290,486,019,167,521,379,914,671,051,898,
736,562,149,757,391,437,069,541,635,938,456,564,864,418,951,965,370,392,834,
284,355,750,394,797,297,016,313,801,796,098,751,312,221,668,727,506,244,788,
479,195,998,534,304,592,061,791,068,746,514,387,449,398,548,685,924,316,987,
061,739,573,499,220,716,190,152,777,473,820,470,800,272,528,765,786,843,871,
685,839,458,923,850,014,808,427,213,895,929,896,934,582,533,233,708,013,450,
114,538,961,005,482,960,366,020,236,538,272,702,674,453,669,888,270,339,351,
843,486,351,406,108,981,432,423,791,811,821,245,000,350,340,078,704,068,625,
178,304,294,415,954,377,741,246,433,872,783,915,894,513,811,868,223,921,873,
269,624,662,000,266,902,285,734,780,660,610,139,160,159,311,729,357,954,948,
325,805,543,131,640,073,325,853,468,644,120,879,230,437,171,410,693,852,557,
192,991,253,802,228,296,544,303,536,427,025,199,030,063,552,645,859,680,573,
303,425,110,144,957,039,560,825,310,683,853,686,460,896,509,778,044,810,336,
612,211,134,774,814,441,271,073,603,872,427,057,082,304,365,199,911,591,374,
683,870,922,951,154,155,113,808,845,952,791,137,913,465,502,393,740,200,667,
466,899,579,365,476,891,201,554,675,568,831,999,629,237,126,122,441,743,820,
757,602,069,449,914,029,350,434,024,392,611,047,662,299,200,413,852,668,756,
466,549,505,775,383,740,554,343,929,256,507,193,142,176,556,101,328,579,036,
285,870,495,790,426,742,126,021,499,726,476,395,560,442,774,931,725,692,421,
819,965,333,848,925,769,354,090,834,412,957,765,124,507,595,909,541,024,030,
613,363,523,919,918,848,361,810,670,207,134,656,755,011,860,745,999,107,747,
508,991,308,607,241,475,116,104,790,510,560,738,237,993,592,689,203,385,925,
369,841,391,605,717,612,502,616,187,606,027,382,526,387,377,621,098,694,845,
331,858,392,212,017,781,531,468,603,110,433,865,539,833,224,298,918,264,766,
322,269,243,191,610,105,267,385,042,244,523,150,638,663,845,053,592,966,662,
464,584,288,431,442,847,859,047,258,954,380,512,298,908,228,287,499,480,883,
296,471,633,270,563,561,701,677,692,907,323,341,916,003,772,725,072,392,771,
081,555,707,949,404,589,464,151,263,088,024,360,088,484,751,760,963,824,763,
622,785,155,793,387,409,988,196,820,170,810,689,758,342,405,889,257,932,046,
459,915,333,161,519,202,252,246,838,843,659,254,127,551,338,826,293,757,433,
008,748,301,947,779,131,919,729,372,389,537,752,808,183,816,331,898,834,448,
169,593,625,593,490,364,224,982,566,815,184,882,392,957,528,693,493,403,815,
223,908,848,573,066,729,774,779,778,924,192,956,407,719,179,205,130,366,572,
138,799,634,150,928,670,748,573,568,335,854,829,908,641,012,451,210,931,803,
847,447,067,680,193,853,915,765,600,905,446,820,616,474,273,113,952,174,711,
218,632,141,505,739,100,284,696,761,539,960,120,230,055,876,503,288,951,071,
422,643,662,816,808,380,850,223,627,782,501,864,082,415,078,720,833,934,266,
718,052,647,586,231,221,917,948,375,069,505,606,291,394,516,116,140,401,934,
381,076,783,705,859,625,139,026,016,389,922,932,162,184,136,438,072,449,322,
286,511,068,555,959,969,164,385,745,364,722,702,119,388,765,360,136,216,629,
552,042,144,162,699,194,258,495,369,255,533,137,447,846,367,231,625,460,114,
457,057,728,075,875,473,030,483,857,555,425,090,322,880,665,146,064,739,021,
048,424,376,682,935,893,626,438,349,744,274,075,297,452,615,422,472,564,339,
315,200,648,948,983,735,047,518,409,517,848,318,833,748,354,509,057,809,063,
043,700,962,119,402,116,849,481,440,331,785,597,722,727,601,662,199,375,573,
790,810,383,207,933,649,042,196,562,658,088,036,010,918,321,729,850,702,192,
105,908,728,221,299,044,552,100,217,860,360,588,757,655,679,619,305,226,028,
355,380,556,771,369,562,736,059,825,782,444,612,547,174,045,868,906,168,290,
473,863,627,234,698,011,707,392,913,715,308,612,967,973,314,047,627,999,215,
831,890,903,802,491,979,298,690,524,006,334,970,813,022,647,412,186,354,007,
316,946,885,338,980,063,997,772,248,591,861,253,386,291,992,327,481,346,255,
921,931,472,058,628,351,873,854,489,032,033,114,350,916,213,591,200,406,700,
242,480,537,133,967,755,185,023,348,453,829,893,593,564,230,041,700,143,729,
815,510,131,012,945,065,423,826,799,777,103,624,589,993,578,338,345,040,497,
963,111,527,146,248,642,198,743,214,320,699,704,243,718,300,663,251,734,413,
373,961,189,008,228,632,286,366,584,136,849,991,148,632,365,522,938,949,748,
732,701,297,171,420,189,581,560,102,380,386,203,340,808,530,154,196,807,508,
841,926,278,678,454,698,140,368,568,497,928,701,382,024,031,973,226,351,532,
925,173,796,718,830,544,666,055,484,269,644,786,264,281,353,192,195,907,482,
978,149,445,623,647,307,564,260,575,629,718,435,171,801,876,833,392,187,713,
182,093,674,755,383,508,462,107,743,625,197,410,744,308,986,814,711,238,425,
018,983,675,120,890,229,530,288,179,955,552,398,259,973,200,635,168,551,654,
909,439,969,518,808,827,887,040,423,874,881,233,587,488,361,704,001,075,591,
602,647,444,083,731,335,007,327,729,296,932,776,146,480,336,713,787,210,211,
667,490,969,748,285,760,392,352,439,303,620,148,431,856,504,544,324,818,721,
936,540,844,229,938,702,820,111,703,567,570,931,350,334,593,063,934,214,351,
819,652,162,127,704,057,331,624,665,093,410,305,763,309,549,241,325,715,573,
558,506,612,720,570,264,818,039,767,561,775,284,049,585,613,673,098,538,328,
269,283,106,930,078,707,147,114,926,254,194,164,656,149,989,098,023,750,293,
819,773,908,043,295,677,939,393,426,596,222,692,972,935,569,315,904,039,856,
462,996,572,200,722,910,404,919,975,533,115,800,320,973,346,488,941,080,419,
227,558,267,918,748,311,312,056,960,774,606,986,911,073,508,263,440,261,570,
475,531,109,187,269,717,052,760,869,416,874,743,727,910,099,328,526,114,626,
323,987,235,130,383,201,862,438,537,333,721,227,392,187,055,589,414,124,511,
767,374,758,860,736,619,007,901,474,920,120,241,183,875,166,119,809,300,397,
006,787,011,716,377,361,721,460,085,480,616,106,399,225,334,235,694,633,242,
489,442,233,604,931,008,146,580,458,068,559,637,580,835,369,136,051,744,572,
438,212,948,927,365,038,788,919,396,733,940,434,522,092,557,156,121,847,331,
935,923,958,976,252,033,288,268,780,823,557,936,177,858,263,636,016,254,399,
708,085,724,801,009,770,442,445,628,010,273,843,677,001,152,640,258,115,735,
537,907,234,867,892,406,238,888,026,314,918,262,794,586,781,870,966,796,515,
026,186,348,557,694,114,803,108,521,601,672,451,498,221,167,928,353,909,629,
860,997,938,704,974,724,514,653,167,554,965,270,335,407,360,761,781,447,088,
941,329,029,117,981,141,933,304,153,920,493,300,925,660,476,853,560,428,981,
784,297,040,539,173,530,793,309,893,217,057,801,948,010,093,389,035,475,230,
663,668,223,019,749,973,578,054,065,201,741,040,614,103,220,743,571,695,377,
564,082,878,556,420,890,287,288,156,349,685,203,177,640,343,222,668,397,695,
550,891,964,776,506,299,113,021,705,434,857,689,838,528,242,488,097,299,598,
249,806,859,731,175,633,385,565,138,032,997,140,250,925,375,998,690,137,061,
423,654,779,528,052,935,726,866,150,142,328,932,446,952,258,108,795,259,675,
264,426,298,335,559,739,686,920,405,940,658,885,000,634,369,372,091,483,180,
991,885,349,722,538,169,794,577,301,106,296,887,865,844,350,873,744,728,989,
635,209,864,861,864,913,007,557,970,388,814,794,150,730,617,794,883,199,455,
193,414,698,294,934,142,403,745,232,157,814,089,806,623,963,888,609,756,956,
506,387,720,591,459,779,716,626,531,002,419,564,391,099,710,635,092,548,904,
598,413,092,365,574,801,837,886,463,368,186,342,455,176,890,503,330,204,895,
369,795,689,923,075,628,832,112,924,528,046,569,623,886,151,829,859,780,197,
058,408,879,620,946,259,890,873,272,013,359,548,387,660,783,225,329,976,615,
379,670,346,234,090,622,612,108,213,332,072,732,558,010,778,385,894,982,031,
691,426,490,559,641,843,855,878,897,845,942,425,644,031,371,059,783,455,721,
381,000,048,756,442,236,320,423,438,721,054,816,427,019,109,060,195,364,788,
127,475,504,337,106,463,134,002,044,743,510,609,387,661,223,786,111,232,859,
637,524,320,342,385,951,290,960,332,778,052,679,603,795,919,740,450,223,106,
380,354,969,715,683,831,756,842,092,656,189,816,121,770,016,077,320,667,982,
459,328,981,554,298,976,612,414,901,480,102,067,269,337,777,552,118,730,674,
580,553,052,991,326,397,834,734,060,803,108,709,726,778,788,716,322,603,380,
868,489,719,177,721,028,351,074,659,339,675,794,187,744,976,670,920,510,392,
045,740,596,088,386,409,470,477,866,621,096,448,620,169,773,469,876,736,490,
326,768,625,537,803,151,708,103,271,211,863,276,561,535,217,981,212,836,421,
616,737,241,193,942,565,211,126,590,517,993,001,809,388,176,610,241,988,118,
420,845,662,240,745,083,454,979,847,281,333,190,082,603,653,544,269,564,732,
783,337,148,109,998,272,300,616,984,006,443,333,633,075,182,481,184,863,030,
102,368,588,380,733,033,989,967,151,946,760,046,157,014,988,126,474,338,979,
184,330,344,087,948,144,442,675,660,900,180,524,539,660,874,686,853,474,597,
827,774,202,801,353,031,924,356,364,865,314,454,207,265,378,425,060,749,874,
585,434,419,887,462,608,231,196,212,074,903,586,958,402,174,782,980,333,784,
882,529,419,899,120,310,822,915,697,211,494,777,949,733,165,126,077,184,924,
365,571,645,418,455,435,866,870,590,669,917,259,211,821,028,881,404,647,619,
285,127,655,284,194,626,478,325,706,865,530,645,703,621,897,513,411,065,820,
107,675,282,854,862,361,638,826,276,803,840,147,372,266,268,908,214,546,363,
046,275,692,589,220,008,516,882,186,061,978,284,543,624,788,674,680,152,856,
886,016,925,028,202,141,001,408,664,226,952,132,230,901,751,540,267,174,710,
449,104,593,537,216,811,629,361,256,755,267,953,003,103,467,718,790,575,576,
432,543,376,335,575,226,392,148,950,378,282,533,327,399,052,798,878,006,994,
650,962,826,045,116,270,497,447,162,444,128,369,314,176,581,694,050,524,800,
092,216,518,365,388,891,506,079,161,225,490,108,868,771,752,407,597,497,704,
942,964,551,418,208,935,016,566,502,762,614,065,038,569,011,882,706,835,142,
611,096,192,927,976,061,264,318,872,503,622,971,988,903,865,552,624,991,101,
860,511,167,895,032,073,706,839,934,027,972,388,707,411,482,796,403,929,467,
609,599,611,959,193,046,862,150,825,104,763,873,678,674,252,486,042,091,120,
405,070,146,178,661,264,971,420,646,347,361,025,542,426,313,579,424,183,699,
372,644,079,947,414,290,345,280,536,343,679,572,864,244,850,968,667,422,973,
193,708,801,689,519,820,216,547,699,213,312,198,397,215,182,131,155,030,514,
761,302,830,619,982,178,033,887,581,034,070,095,039,006,153,543,320,928,715,
982,172,256,336,183,647,058,004,880,488,298,996,290,179,827,698,643,491,358,
670,443,895,141,705,053,868,974,444,550,765,995,176,015,280,749,282,837,843,
076,587,741,130,038,383,730,952,995,857,044,368,453,579,343,011,938,100,315,
720,450,347,052,257,840,338,739,631,572,807,452,092,660,891,906,074,126,082,
586,308,406,036,384,953,316,493,701,061,017,215,911,214,736,745,303,333,937,
905,329,803,291,550,396,458,275,242,314,757,335,673,000,325,212,173,024,057,
486,218,859,518,151,544,595,864,141,683,008,278,046,537,249,874,409,226,914,
436,011,197,857,964,990,049,144,407,702,239,654,138,339,820,380,107,648,068,
892,657,163,079,285,725,058,463,826,012,794,899,132,323,271,417,352,135,348,
609,517,319,352,816,352,299,758,342,890,329,129,254,563,512,802,558,099,254,
655,036,894,616,312,659,778,012,693,637,217,127,731,809,690,471,104,692,685,
890,318,904,489,644,956,897,822,328,725,545,903,106,947,086,235,539,044,654,
506,405,181,773,027,138,409,255,114,178,018,874,187,426,796,536,226,970,762,
070,515,823,197,766,352,524,964,837,028,075,510,048,912,644,999,413,297,920,
152,003,254,977,211,166,311,082,270,741,437,959,667,424,169,972,256,171,263,
283,237,193,960,425,605,509,555,914,629,722,614,333,063,006,862,020,370,998,
805,296,735,386,239,567,973,233,052,655,647,946,202,912,122,951,757,496,206,
371,259,693,666,037,467,460,207,516,740,428,617,000,531,975,364,382,995,161,
988,129,734,356,706,320,951,624,051,847,854,300,191,331,080,870,988,566,570,
554,759,471,542,714,438,506,887,356,276,786,539,265,244,611,433,352,717,353,
346,836,316,262,060,406,785,907,053,337,347,439,435,026,489,008,881,231,877,
867,645,633,178,424,115,896,983,846,438,681,370,587,429,771,854,628,607,363,
476,440,809,745,850,784,941,453,310,014,548,331,290,485,736,557,465,700,912,
267,980,012,044,561,066,879,130,215,576,831,621,501,671,277,063,125,697,739,
319,836,884,814,601,005,578,901,883,786,844,309,117,465,463,356,015,718,889,
768,574,166,726,925,397,657,717,744,155,137,579,197,930,894,661,771,043,478,
955,230,939,031,368,217,241,935,946,449,185,629,609,277,076,683,090,898,437,
093,901,766,580,289,833,793,810,851,391,385,023,308,390,852,489,504,178,201,
214,247,297,478,619,824,866,110,728,110,835,675,548,096,261,594,120,678,204,
743,021,696,899,366,417,786,349,593,237,449,431,097,790,394,809,432,670,867,
381,270,975,933,068,884,062,298,284,433,852,300,557,170,652,588,368,479,560,
935,167,381,217,169,907,245,137,463,307,940,305,492,400,022,343,296,322,126,
456,887,096,877,211,435,758,470,861,871,996,532,253,815,736,593,413,382,840,
831,457,159,939,576,789,809,538,842,684,756,826,043,713,365,605,586,316,631,
239,064,829,184,044,495,554,866,554,008,673,177,817,536,651,619,925,921,107,
561,255,529,729,698,234,220,694,809,213,973,047,039,011,896,061,782,106,471,
707,425,387,974,460,432,744,296,826,764,328,005,127,564,501,352,722,615,132,
219,477,599,910,314,069,172,421,178,321,751,851,463,756,538,827,651,596,351,
307,044,238,269,802,381,259,525,746,802,715,713,269,330,614,135,702,850,337,
564,853,229,466,592,736,773,684,809,779,382,386,448,236,393,453,564,757,432,
457,630,437,467,146,497,939,662,336,861,806,248,501,277,172,467,130,130,019,
243,839,751,495,848,757,612,490,613,452,166,300,387,369,576,030,119,959,585,
292,865,442,973,105,510,394,750,219,468,646,523,566,440,175,273,053,827,856,
657,450,535,249,787,105,184,340,845,263,663,160,170,537,572,466,668,011,289,
408,755,606,614,806,755,355,149,935,028,907,500,879,880,186,465,638,853,807,
048,480,209,252,421,378,841,014,572,047,522,231,713,855,177,305,232,758,862,
893,547,556,842,200,085,238,562,462,030,806,628,804,288,770,445,964,145,151,
248,042,373,674,378,626,724,148,137,837,704,152,094,471,365,140,023,117,407,
678,816,086,918,049,576,950,727,640,969,870,509,283,909,894,743,516,767,508,
859,867,388,190,737,578,817,084,233,991,565,480,845,605,403,695,081,819,056,
577,776,287,088,572,524,075,398,415,612,375,763,499,103,562,125,096,934,000,
062,232,670,544,233,980,818,929,637,053,166,740,417,064,805,301,726,872,830,
144,681,895,025,583,606,614,770,202,552,679,358,911,290,288,345,754,202,627,
956,592,315,043,179,139,651,278,800,629,554,414,265,912,253,923,451,332,001,
862,455,525,470,013,600,457,901,089,355,160,110,415,125,813,458,798,374,530,
646,288,071,276,697,411,953,765,011,549,159,838,525,143,826,090,630,886,312,
510,961,079,413,769,492,145,296,434,497,642,028,707,484,615,668,241,588,301,
358,362,926,709,861,557,997,749,936,725,285,271,340,960,792,088,563,520,211,
187,252,595,764,319,950,203,189,929,488,491,894,179,508,634,167,414,561,211,
479,851,288,603,079,769,521,149,589,727,428,038,155,721,369,032,184,682,354,
592,632,608,782,498,143,554,752,693,502,225,309,095,547,300,935,856,008,442,
106,842,901,097,020,052,714,932,521,526,645,375,851,184,724,818,791,351,020,
562,174,893,307,629,558,894,388,702,397,138,460,753,668,891,743,932,336,355,
134,750,869,392,023,214,086,949,583,104,122,907,801,768,102,766,415,455,277,
716,212,234,398,198,126,891,507,321,341,651,583,251,594,929,862,969,757,375,
932,174,338,169,151,306,908,215,152,350,904,327,223,027,699,890,355,341,190,
494,431,573,452,252,492,219,903,006,473,378,783,498,720,369,087,834,325,139,
426,199,733,403,641,557,034,857,113,940,538,793,907,240,148,538,307,018,819,
749,430,766,072,866,972,944,247,928,318,819,314,941,230,796,490,586,080,100,
678,503,311,932,455,233,154,532,725,842,624,302,060,993,640,843,460,983,630,
046,578,018,145,010,826,448,052,860,448,585,308,343,920,400,108,819,186,109,
289,547,953,833,016,427,126,257,672,499,154,156,049,245,228,037,234,552,035,
565,473,111,683,857,970,341,698,116,868,762,914,513,812,093,818,263,954,778,
717,495,998,817,072,171,359,403,141,222,652,412,536,734,990,956,636,571,669,
967,605,034,154,719,666,515,716,969,694,815,510,207,409,931,237,817,344,315,
187,490,873,311,416,375,390,635,948,728,937,960,782,984,684,139,178,888,818,
345,040,387,014,094,560,782,556,287,420,227,164,978,092,166,996,629,668,977,
085,857,649,545,480,932,992,283,339,140,256,167,994,331,033,827,122,801,246,
147,648,704,032,751,235,970,812,857,121,695,239,396,922,088,054,347,439,129,
055,536,057,581,619,029,885,699,078,625,236,839,578,677,246,893,722,130,327,
388,237,355,644,947,507,863,165,951,889,467,941,053,403,244,398,198,048,324,
730,636,449,122,126,249,063,935,363,764,796,226,203,153,656,911,386,355,941,
790,398,809,478,042,022,652,443,165,669,350,791,074,581,753,392,588,029,463,
064,398,985,098,913,211,758,485,625,529,331,736,739,474,161,322,852,081,305,
466,961,089,532,460,162,858,945,381,861,713,368,638,651,307,968,882,669,593,
443,789,610,730,178,811,919,253,076,176,026,336,684,936,794,505,489,028,580,
158,491,927,889,074,461,533,015,700,124,303,649,064,078,145,274,478,517,984,
153,955,401,863,493,489,390,608,128,959,382,175,871,636,557,919,781,220,130,
174,185,484,273,201,882,315,400,460,395,368,940,450,066,327,747,066,440,936,
251,470,667,708,857,665,585,579,888,838,462,255,928,354,720,466,964,903,027,
037,745,844,946,882,614,515,654,894,602,930,000,682,132,018,085,748,914,034,
497,787,465,435,774,261,953,811,653,566,174,575,007,300,883,451,403,647,346,
525,428,648,955,774,836,954,277,368,532,959,960,607,605,597,548,816,828,139,
426,814,163,044,854,792,912,558,978,916,255,176,401,601,549,200,718,479,420,
331,936,574,578,653,863,968,996,103,651,899,215,009,987,702,832,541,497,818,
972,539,510,791,058,060,100,365,508,683,070,210,760,210,298,899,831,192,630,
378,463,895,727,814,951,629,991,986,813,947,982,256,230,547,802,168,217,630,
197,051,813,018,693,271,699,100,093,110,467,038,564,110,095,408,461,827,108,
338,852,411,934,774,092,294,454,477,543,084,105,874,102,456,667,350,211,570,
482,679,531,701,723,120,056,212,149,193,953,703,904,776,062,946,530,363,683,
973,917,926,579,073,297,217,080,166,035,729,798,050,242,590,848,935,984,729,
925,506,496,937,243,822,723,007,063,879,345,938,922,417,187,860,289,589,722,
245,308,577,255,038,100,104,446,627,879,857,923,987,197,398,895,971,229,152,
540,345,823,433,745,789,451,157,974,613,376,544,432,796,596,858,116,162,310,
086,185,069,552,179,688,306,065,353,278,870,840,229,916,669,565,953,229,514,
255,297,810,587,387,804,400,401,684,118,901,267,179,641,331,013,885,700,848,
724,365,965,945,841,246,319,254,396,445,580,952,887,872,324,378,577,694,924,
059,983,991,820,035,377,075,254,909,246,131,135,738,979,638,188,507,222,295,
011,176,459,583,332,818,408,684,148,449,945,251,359,965,583,567,024,394,008,
233,667,734,021,603,995,870,654,842,087,671,467,775,649,253,967,286,406,718,
036,007,092,361,398,108,725,421,801,906,064,885,524,907,214,427,124,983,563,
927,620,067,603,936,558,834,650,708,661,902,226,661,759,565,369,053,518,611,
033,770,663,004,155,472,747,130,420,519,355,415,695,115,612,770,688,978,327,
884,432,833,849,392,994,928,301,044,854,727,287,862,719,656,569,518,103,686,
004,700,383,998,735,251,393,270,114,009,364,498,090,663,979,962,332,142,654,
550,564,763,573,646,427,956,010,051,756,312,893,697,340,155,267,723,663,352,
277,065,673,212,623,028,379,474,887,768,774,072,107,729,891,230,143,755,808,
455,492,863,633,086,959,174,852,900,917,201,752,084,317,229,826,200,210,059,
744,797,846,003,898,535,714,122,624,625,508,866,457,343,361,394,584,133,323,
909,152,184,960,710,737,872,739,253,322,884,846,666,005,804,452,837,993,774,
853,842,739,326,179,936,778,372,908,655,402,758,123,759,111,576,511,517,538,
731,404,971,846,229,039,910,667,889,053,956,157,117,394,025,939,506,881,119,
784,232,684,347,923,712,302,730,283,744,791,140,100,833,529,042,179,666,402,
702,775,576,563,196,411,495,732,086,184,367,028,934,412,392,837,311,641,214,
207,977,946,597,303,514,247,233,035,761,284,362,890,497,686,206,959,615,238,
451,978,627,001,458,180,849,865,547,205,581,917,660,783,858,587,346,989,196,
721,095,297,589,979,942,610,165,791,415,202,174,814,460,290,829,294,405,100,
394,396,990,679,319,099,146,280,081,358,688,726,302,663,636,801,657,540,296,
555,447,598,070,799,212,922,856,897,782,348,504,306,524,516,200,649,826,108,
241,555,770,186,629,579,551,334,726,573,693,926,132,867,047,801,695,895,305,
279,886,988,104,828,165,574,334,896,731,732,728,879,806,431,202,820,612,661,
907,615,214,284,969,261,645,063,998,087,513,419,723,244,488,518,988,587,596,
838,503,324,296,079,820,981,954,840,086,510,402,067,717,037,438,693,749,717,
697,219,872,559,043,136,326,275,597,969,775,469,423,385,828,661,684,828,282,
501,462,679,996,920,673,295,744,845,762,639,982,192,262,156,484,172,450,308,
591,813,197,767,394,500,625,696,329,683,212,396,636,585,695,506,721,348,157,
875,955,498,227,333,974,686,722,359,294,426,201,587,122,932,122,725,579,371,
912,421,577,864,329,647,285,730,149,727,409,657,652,822,441,766,671,018,813,
578,958,109,691,489,197,671,034,996,713,882,788,132,527,957,365,665,350,751,
073,464,270,331,780,454,231,709,435,803,881,145,212,393,859,828,926,783,632,
999,733,617,807,215,769,914,633,564,755,239,225,085,052,833,223,016,208,581,
988,090,090,048,583,944,336,423,866,922,109,737,752,344,244,102,473,704,659,
590,493,152,336,826,240,161,793,245,875,118,353,677,472,422,379,690,020,145,
294,601,765,395,979,112,511,381,747,169,760,361,767,133,199,140,257,532,964,
879,670,307,604,416,697,559,985,391,562,414,625,651,161,023,505,345,446,396,
360,332,947,043,780,546,066,316,999,809,888,576,023,624,751,573,987,498,682,
967,032,916,883,685,814,718,952,909,827,298,592,332,254,000,473,943,345,981,
069,796,526,896,992,714,533,916,586,100,982,161,432,847,095,260,772,468,976,
300,922,163,813,220,547,622,737,533,935,773,144,198,401,090,881,704,330,335,
043,549,486,152,369,831,733,815,027,580,239,035,988,062,294,725,662,796,036,
430,404,603,797,104,080,094,780,187,964,611,916,125,722,170,480,223,444,030,
170,990,135,342,744,200,649,605,770,806,529,207,004,273,040,508,697,849,329,
813,330,535,648,225,105,656,017,515,529,229,967,146,130,201,790,595,943,320,
193,294,404,395,764,363,329,884,337,463,280,017,019,184,392,102,058,364,063,
819,184,868,544,616,153,598,252,073,167,656,593,647,561,750,763,651,662,164,
473,317,115,178,422,313,446,971,525,935,117,490,393,625,854,513,939,689,730,
508,130,108,173,836,910,486,443,644,495,480,741,222,836,717,951,612,319,639,
117,347,603,364,559,343,682,281,720,627,361,481,211,699,838,921,530,830,129,
940,202,890,663,440,017,027,752,522,063,260,357,435,325,890,319,477,288,142,
273,441,180,636,853,308,953,339,021,266,401,278,434,841,199,946,582,689,472,
514,673,644,767,071,397,046,564,458,342,930,260,959,538,270,901,981,392,375,
329,380,129,002,726,311,061,630,385,404,464,169,686,738,535,538,971,824,383,
043,799,711,798,451,539,990,235,881,343,951,801,597,371,392,639,811,710,642,
608,668,412,777,283,752,608,704,248,602,692,609,987,083,890,385,880,389,535,
496,851,965,708,669,021,027,294,372,683,780,891,476,177,247,171,427,036,286,
986,575,682,301,542,283,348,485,318,460,398,216,305,161,408,304,432,450,751,
334,456,105,605,343,800,813,829,273,393,200,392,619,509,770,102,949,999,811,
483,314,004,921,497,520,874,489,097,783,729,825,258,039,949,688,444,455,875,
562,818,918,052,653,845,058,246,957,612,374,309,714,531,047,118,640,088,249,
431,242,919,449,966,220,406,764,181,825,705,477,506,201,165,691,199,322,044,
806,713,466,065,675,440,317,353,002,868,253,137,534,948,884,150,609,398,995,
827,405,535,187,632,518,761,076,072,811,137,725,055,204,063,164,381,419,281,
392,965,167,348,082,648,503,562,994,834,228,673,655,684,002,323,488,452,776,
117,110,029,412,474,931,787,637,642,777,915,802,316,217,167,194,067,737,651,
773,932,948,279,555,898,949,337,765,458,369,768,096,003,726,199,619,436,625,
514,976,350,186,567,092,236,936,019,128,510,481,722,196,224,854,655,596,703,
492,962,314,690,534,215,123,406,371,230,585,184,539,828,511,467,648,826,901,
286,998,851,641,125,539,220,981,774,220,919,856,067,500,005,686,312,219,488,
210,071,225,322,280,192,311,866,004,745,954,194,819,242,285,285,900,609,404,
813,734,174,819,595,557,143,351,888,770,914,917,574,741,635,326,479,251,236,
652,644,900,671,617,031,082,401,426,789,452,610,765,771,237,725,617,938,416,
326,749,190,126,633,687,042,988,765,692,233,718,889,225,140,315,145,615,230,
951,981,850,170,703,164,007,350,866,024,545,372,853,163,344,818,205,189,856,
590,980,839,242,889,413,236,776,218,314,746,180,967,849,076,922,293,200,131,
486,642,670,513,386,874,648,428,151,096,167,277,470,212,604,599,801,977,157,
003,642,078,897,074,850,080,364,836,118,727,808,998,376,722,840,281,803,017,
969,798,308,614,854,082,739,417,953,900,152,788,884,972,365,587,344,147,572,
436,645,702,170,147,551,651,245,107,568,586,984,247,909,516,744,657,117,769,
267,211,009,913,644,206,084,181,229,788,648,431,278,049,755,235,988,546,256,
427,316,257,084,761,370,943,628,956,639,418,828,754,672,605,935,088,990,797,
672,416,462,833,005,301,191,812,935,737,975,104,986,316,512,680,917,071,681,
654,286,180,183,240,792,238,899,318,346,983,689,959,123,435,292,119,498,079,
703,194,418,060,318,237,280,877,328,839,698,106,148,080,959,460,466,119,393,
692,365,507,575,448,770,078,791,227,447,327,586,295,418,816,159,454,739,883,
530,365,428,476,717,628,004,504,186,829,671,963,832,971,555,676,551,301,582,
136,945,609,885,648,395,971,199,352,095,431,603,019,183,030,925,486,116,600,
155,619,307,671,743,493,175,709,503,116,468,300,976,938,787,501,756,738,014,
024,290,613,855,895,848,954,127,194,019,578,587,700,263,297,672,003,297,340,
475,388,314,356,575,658,755,997,216,451,176,898,948,743,186,178,549,683,858,
968,326,886,998,706,718,580,591,114,365,225,635,147,308,518,711,043,520,620,
615,499,946,805,198,156,768,802,557,128,139,155,375,278,242,895,165,178,107,
033,820,096,446,538,555,208,138,931,319,978,887,567,671,733,732,454,575,725,
643,927,311,262,469,138,366,725,680,975,799,082,868,912,053,529,400,519,590,
681,906,331,037,922,252,868,507,301,535,982,279,970,091,839,536,779,659,056,
442,404,609,235,228,390,743,749,189,318,866,614,989,389,051,229,086,266,279,
460,413,362,772,331,370,561,987,823,455,876,845,316,285,641,186,819,796,936,
965,182,828,036,451,197,389,809,130,795,686,896,902,925,485,106,464,631,585,
720,645,905,566,758,911,889,395,877,939,271,741,130,944,230,067,119,697,710,
339,841,748,498,295,346,742,841,242,431,012,344,656,956,989,733,986,231,261,
103,310,230,807,979,062,598,022,380,929,420,595,775,497,971,848,205,374,914,
618,208,116,226,269,670,954,542,378,481,764,613,947,621,689,737,290,586,707,
059,755,329,094,073,550,237,500,549,161,685,239,174,561,188,383,071,910,560,
879,119,066,916,493,001,389,145,296,807,406,739,561,287,590,763,298,272,498,
975,598,595,920,153,524,801,302,094,951,142,871,468,848,166,001,431,727,957,
541,492,498,605,434,544,379,670,732,161,807,753,929,815,150,900,250,243,885,
415,880,059,411,206,893,005,897,115,725,543,865,628,088,235,586,839,903,880,
679,225,169,831,163,996,341,824,505,217,313,716,031,865,022,846,934,413,611,
468,436,259,065,788,747,009,595,042,694,220,668,688,006,935,961,866,420,433,
922,675,880,841,243,330,719,274,100,021,583,759,869,089,348,406,940,993,837,
292,659,127,686,290,248,830,182,037,877,809,488,319,856,535,269,950,897,222,
530,615,357,892,117,012,349,920,844,454,129,542,590,230,587,931,946,526,472,
531,659,515,165,630,224,705,354,852,183,025,088,246,555,771,568,541,451,159,
068,300,275,852,440,314,773,714,572,421,652,765,635,003,698,353,356,600,879,
187,361,738,364,854,544,455,794,988,071,709,266,614,732,468,802,293,642,373,
772,167,513,587,586,816,728,182,116,721,904,909,206,908,172,414,584,853,947,
021,236,703,981,237,340,756,666,349,563,437,982,809,756,002,704,882,449,461,
639,860,138,093,173,268,931,830,213,329,342,062,897,537,127,367,772,644,156,
524,103,342,503,003,149,664,102,565,065,477,549,073,575,334,618,855,235,344,
176,747,076,713,444,738,674,364,605,666,684,189,447,054,382,391,898,952,561,
577,070,452,887,871,304,673,015,767,742,747,255,075,203,121,501,537,040,654,
706,972,199,190,304,440,643,458,635,882,633,242,740,276,528,298,619,357,440,
858,542,920,870,781,620,222,801,045,119,987,713,664,205,874,663,628,016,500,
389,765,105,709,327,458,332,259,738,028,631,466,630,180,448,682,271,581,231,
116,505,763,235,373,577,701,863,816,659,136,777,319,610,002,890,050,232,644,
227,790,815,762,096,107,623,964,097,930,299,443,776,752,774,298,679,530,769,
181,858,485,436,075,992,105,670,147,675,129,843,638,869,237,848,632,024,510,
221,888,496,865,130,838,415,275,556,545,661,164,276,888,466,446,887,871,866,
589,483,443,290,111,088,931,699,889,718,084,860,750,541,318,357,926,355,708,
006,409,762,360,112,322,000,195,025,964,838,050,861,216,541,457,875,399,049,
753,148,867,113,987,322,482,543,615,685,654,829,903,550,821,619,941,085,008,
118,954,324,784,642,165,870,199,271,623,231,696,195,453,873,353,065,162,472,
460,527,475,598,355,823,820,686,035,507,749,927,048,265,391,872,623,936,376,
364,539,875,123,336,071,327,939,458,343,482,045,112,439,397,755,220,277,915,
602,522,300,913,471,848,890,172,251,244,915,330,626,895,814,970,734,239,988,
255,099,730,378,792,713,654,174,644,843,600,650,033,650,709,772,239,372,281,
184,991,329,657,666,741,426,582,780,884,344,741,672,381,874,275,334,419,208,
120,351,521,272,595,091,551,636,410,360,933,569,163,214,718,904,467,313,496,
946,102,450,799,616,764,639,076,350,948,746,059,689,585,149,818,027,147,174,
855,531,522,773,903,823,500,710,782,940,224,096,204,201,765,547,375,767,843,
795,214,982,299,261,857,276,888,600,010,948,580,915,188,416,400,482,004,937,
746,169,604,040,481,488,998,773,129,293,712,649,422,100,227,092,000,571,452,
672,131,805,411,253,208,827,537,123,298,911,407,073,380,658,361,235,985,879,
249,071,652,009,090,415,895,405,671,417,318,236,865,548,079,206,337,435,504,
455,514,600,292,822,209,282,836,336,344,244,098,435,759,850,923,853,841,751,
384,894,966,565,524,507,674,843,669,240,541,484,275,652,530,685,176,189,787,
270,154,869,442,073,334,166,956,199,973,163,999,423,833,841,224,392,820,760,
208,976,942,785,230,354,740,920,404,384,291,888,060,385,744,084,267,488,653,
947,034,293,165,747,261,351,551,818,261,703,229,579,536,763,314,783,704,861,
873,876,533,391,742,286,862,785,301,105,870,313,593,245,085,865,656,835,091,
256,719,758,215,576,363,746,008,720,544,865,923,771,386,053,216,422,884,340,
935,727,568,008,538,019,219,874,140,723,764,106,192,244,221,191,813,742,881,
269,970,971,469,959,750,684,564,317,109,057,495,360,278,687,285,229,250,081,
891,524,804,484,333,349,891,300,119,700,540,203,631,204,462,352,954,514,164,
743,849,540,109,591,526,362,049,933,104,105,994,810,645,961,206,013,570,794,
415,924,866,178,997,194,010,540,638,953,518,996,828,582,666,234,946,628,960,
974,296,156,284,905,099,613,397,527,968,537,216,562,588,597,355,050,504,421,
558,120,907,492,954,206,591,941,011,764,347,519,060,859,424,800,391,343,711,
859,835,455,701,868,079,546,635,322,789,414,193,952,378,962,129,658,124,956,
967,023,755,640,772,286,028,265,702,288,031,957,605,283,301,465,104,897,625,
457,471,310,904,996,882,204,745,483,770,626,929,299,555,560,685,552,120,768,
323,407,016,904,361,567,830,071,903,864,774,025,053,110,416,058,196,613,094,
955,975,938,646,943,935,868,918,070,331,493,906,952,648,137,040,131,776,876,
617,048,593,668,262,064,355,033,910,881,815,180,390,172,026,755,646,024,616,
292,382,095,077,590,437,283,901,447,376,690,022,059,384,426,012,317,066,470,
869,219,431,716,650,112,928,272,984,986,766,711,153,567,816,275,152,979,164,
095,829,371,015,762,137,396,597,011,478,852,348,390,912,559,489,818,282,738,
968,950,167,570,795,214,904,673,318,119,873,008,821,144,416,485,117,736,637,
857,677,256,745,414,900,875,611,573,647,476,701,957,643,919,018,828,440,864,
502,237,922,399,137,620,765,025,029,842,960,684,566,478,184,186,295,826,842,
176,642,765,569,430,727,356,490,843,321,204,080,673,041,832,409,292,321,256,
473,393,054,163,052,562,677,186,472,932,611,674,915,953,762,775,681,860,718,
344,200,812,283,592,457,228,276,494,237,728,350,079,708,203,994,133,082,241,
122,428,064,338,995,461,866,304,675,718,496,548,231,972,190,297,045,880,784,
602,723,892,342,115,444,666,061,861,323,183,061,628,128,599,178,345,795,855,
842,535,790,162,490,072,640,446,613,394,996,868,613,163,476,358,679,998,295,
299,773,365,530,104,569,990,320,265,165,950,818,584,330,799,633,194,879,082,
107,324,671,463,310,241,490,844,169,471,553,737,186,369,429,039,740,581,101,
437,085,295,841,668,755,965,295,719,562,756,490,892,782,340,880,618,661,898,
096,373,325,757,836,773,347,585,401,925,192,699,075,006,554,224,142,624,622,
496,528,066,203,551,994,607,613,352,629,652,207,841,081,187,910,944,890,001,
347,799,242,529,651,814,976,836,499,386,884,436,740,886,482,060,071,811,247,
195,055,834,237,819,299,529,361,603,857,982,876,694,283,713,487,077,345,966,
071,752,419,187,855,462,571,406,254,141,153,816,257,055,830,669,911,757,580,
578,130,117,482,432,420,773,774,182,394,588,863,556,244,159,286,199,960,971,
633,075,808,799,720,532,418,023,538,053,223,930,813,154,226,859,203,997,709,
827,864,816,482,556,850,482,259,244,709,671,812,783,672,945,207,080,368,686,
681,989,919,136,839,398,630,892,752,922,996,019,931,727,959,499,499,278,261,
551,073,595,058,617,592,414,485,386,136,580,144,759,430,664,480,366,929,021,
927,652,945,460,758,198,368,845,559,798,348,751,451,724,986,887,117,720,439,
699,831,873,617,287,862,100,837,823,233,230,951,842,294,296,030,070,567,199,
992,298,007,092,387,935,238,729,239,519,184,346,937,205,705,321,336,783,147,
175,457,370,001,250,409,386,578,171,959,528,363,408,498,182,657,250,786,621,
061,354,343,776,701,599,271,330,696,741,830,536,728,405,975,879,310,322,232,
884,089,571,261,924,085,953,345,494,389,359,969,480,734,463,427,854,035,178,
029,638,557,739,783,191,975,757,834,513,191,054,026,456,831,798,884,100,961,
745,858,147,564,135,579,451,423,635,640,324,015,693,851,107,848,340,143,659,
980,859,152,957,957,769,618,358,876,620,706,317,087,046,890,306,756,554,210,
896,922,945,816,621,337,556,613,038,865,299,577,948,126,980,656,161,628,298,
198,351,118,519,099,092,491,544,322,265,943,134,328,733,883,245,223,322,398,
874,647,329,862,798,034,594,791,073,662,141,330,188,581,706,559,296,167,042,
534,319,308,624,902,004,819,175,768,368,940,447,452,704,045,515,892,705,866,
013,782,529,059,481,243,626,415,715,424,971,888,921,422,060,646,316,227,384,
770,595,485,347,796,909,912,379,093,117,319,885,826,335,271,442,487,911,387,
829,044,391,474,170,170,131,554,745,148,668,716,172,067,366,084,587,120,527,
911,056,138,208,628,250,085,078,689,583,240,026,503,830,818,875,647,011,635,
417,819,686,057,933,825,403,884,413,155,357,698,685,528,069,738,785,885,847,
826,062,333,404,936,391,813,190,649,774,467,455,107,758,215,674,366,699,100,
009,449,116,038,927,901,019,826,438,787,580,819,085,097,880,998,737,185,242,
341,476,910,108,138,153,543,109,600,862,645,698,288,150,028,915,618,208,718,
584,066,018,471,077,955,485,243,207,870,569,918,423,143,412,240,417,712,466,
844,787,410,446,112,909,077,237,605,285,404,586,195,162,832,287,147,336,359,
371,709,349,225,095,343,297,985,989,250,864,615,685,827,173,170,912,130,369,
670,411,425,654,775,456,661,213,444,008,893,938,440,208,637,935,579,812,804,
576,703,104,381,570,028,284,791,408,645,540,682,270,900,319,374,638,330,212,
617,619,257,530,273,381,792,685,640,663,644,941,081,560,241,621,991,495,148,
816,514,858,369,576,454,242,361,116,087,917,130,253,112,518,039,719,274,282,
410,297,382,765,224,671,870,696,751,152,669,091,368,834,472,557,470,336,653,
851,835,012,264,615,030,575,454,867,582,920,465,006,797,338,810,908,443,642,
509,416,434,832,300,992,043,624,407,560,473,334,927,793,351,095,485,038,546,
547,564,450,749,902,860,752,016,087,916,318,365,899,674,144,412,551,419,875,
521,864,601,575,008,775,313,808,092,746,030,737,771,474,827,460,376,120,421,
766,819,988,093,111,859,333,039,200,196,621,154,679,339,808,110,866,397,379,
683,252,712,153,466,703,793,325,615,982,237,697,515,059,757,948,693,128,688,
094,171,974,039,267,436,134,652,090,090,514,797,661,509,552,266,082,816,770,
859,186,062,158,287,951,177,386,802,987,626,023,010,652,739,182,295,541,392,
918,020,056,838,360,135,679,872,860,483,416,916,652,487,086,962,757,779,741,
806,708,471,114,811,595,228,196,181,682,379,446,066,996,833,600,335,035,579,
534,312,511,612,725,344,467,160,112,063,722,352,068,121,255,162,528,031,252,
563,906,005,692,627,824,649,052,422,502,206,934,159,709,803,688,308,998,372,
051,463,441,115,976,028,226,909,156,682,192,013,981,830,822,014,104,610,660,
911,290,342,036,586,081,253,355,079,240,744,261,814,870,918,055,920,432,372,
301,962,016,835,359,462,310,980,067,434,984,625,380,787,247,802,532,758,511,
333,502,460,778,884,339,034,019,700,927,663,958,167,698,908,010,736,101,410,
136,996,852,925,703,272,553,544,622,464,685,928,707,526,568,105,993,689,915,
218,073,801,443,404,945,008,266,425,932,413,139,826,915,084,069,991,159,279,
791,908,398,130,223,304,824,083,119,093,195,998,014,562,456,347,941,202,195,
900,928,079,670,729,447,921,616,491,887,478,265,780,022,181,166,697,152,511

Some useful links

Large prime numbers

• The Largest known prime
• Known Mersenne Prime Digits and their English names
• Lists of large prime numbers

Definitions and theory

• General Mersenne prime information
• Definition of a Prime
• Definition of a Mersenne number
• Definition of a Mersenne prime
• Mersenne's conjecture
• Methods to find primes or to prove a large numbers primality
  
  
• How to find a new largest known prime - A EuroBSDcon 2013 tutorial

Searching for Mersenne primes

• Mersenne prime discovery history
• Great Internet Mersenne Prime Search
• GIMPS search status

EFF Cooperative Computing Awards

• Cooperative Computing Awards home page
• Rules of the Cooperative Computing Awards
• Rule 4F, a very importart part of the rules
• Recent News from the Cooperative Computing Awards
• Frequently Asked Questions (FAQ) of the Cooperative Computing Awards

Source code

• Calc: Computed the decimal value of this prime
• Number: Computed the English name of this prime
• GIMPS code: May be used to prove that this number was prime

Other prime links

• Dr. Caldwell's The Prime Pages
• Caldwell's article on the discovery of 2^13466917-1
• Landon Curt Noll's prime number work
• The Amdahl 6 group
• Prime Curios! (a fun site!)
• Landon Curt Noll's table of curious numbers related to primes
• English names of large numbers - How high can you count?